(* ::Package:: *)

(****************************************************************)
(*  This file contains expressions for the nine coproduct       *)
(*  entries of the complete basis of parity odd weight 8        *)
(*  hexagon functions S1[u,v,w], ... , S86[u,v,w].              *)
(*                                                              *)
(*  The coproduct entries of the nth basis function Sn[u,v,w]   *)
(*  can be extracted from the provided expressions by isolating *)
(*  the coefficient of s[n] in each expression. For instance,   *)
(*  the w coproduct entry of S1[u,v,w], denoted by              *)
(*  S1[u,v,w]^w, can be extracted in Mathematica using          *)
(*                                                              *)
(*       SuvwCoproductEntries[w]/.s[1]->1/.s[_]->0              *)
(*                                                              *)
(****************************************************************)

SuvwCoproductEntries[1 - u] = C4[w, u, v]*s[1] + C1[v, w, u]*s[2] + 
     C6[w, u, v]*s[14] + 2*A3[u, v, w]*HPL[{1}, 1 - v]*s[15] - 
     2*A3[u, v, w]*HPL[{1}, 1 - w]*s[15] + C2[w, v, u]*s[17] + 
     C9[w, u, v]*s[20] + C10[w, u, v]*s[21] + C3[w, u, v]*s[25] + 
     A10[u, v, w]*HPL[{1}, 1 - w]*(8*s[4] - 6*s[6] - 6*s[7] - 10*s[8] + 
       14*s[9] + 8*s[10] + 10*s[11] + 12*s[12] + 30*s[13] + 42*s[14] - 
       18*s[15] - 6*s[16] - 2*s[17] + (8*s[18])/3 - (14*s[19])/3 + 
       (68*s[20])/3 + (58*s[21])/3 - (22*s[22])/3 + 164*s[23] - 8*s[24] - 
       (67*s[25])/27 - (293*s[26])/27) + C15[v, w, u]*
      ((3*s[4])/2 - (3*s[5])/2 - (29*s[7])/12 - (11*s[8])/9 + (59*s[9])/18 + 
       (49*s[10])/18 + (11*s[11])/12 - (13*s[12])/6 - (11*s[13])/4 + 
       (101*s[14])/12 + (25*s[15])/4 + (11*s[16])/2 + (127*s[17])/12 + 
       (187*s[18])/54 - (121*s[19])/54 + (739*s[20])/54 + (1037*s[21])/108 - 
       (151*s[22])/108 + (3*s[23])/2 + (7*s[24])/54 - (3757*s[25])/972 - 
       (3227*s[26])/972) + A8[u, v, w]*HPL[{1}, 1 - w]*
      (-4*s[6] - s[7]/2 + (3*s[11])/2 + (9*s[13])/2 + (9*s[14])/2 - 
       (5*s[15])/6 + s[16] + (7*s[17])/2 - (8*s[18])/3 + (2*s[19])/3 - 
       (8*s[20])/3 - s[21]/6 - s[22]/6 + 17*s[23] - 3*s[24] + 
       (125*s[25])/54 - (89*s[26])/54) + A6[u, v, w]*HPL[{1}, 1 - v]*
      ((2*s[18])/3 - (2*s[19])/3 + (2*s[20])/3 + 2*s[21] + s[24] - 
       (49*s[25])/54 - (59*s[26])/54) + A9[u, v, w]*HPL[{1}, 1 - w]*
      (-s[4]/2 + s[5]/2 - s[6] - s[7]/4 + s[8] - s[9]/2 - s[10]/2 + 
       (3*s[11])/4 + (3*s[12])/2 + (7*s[13])/4 - (3*s[14])/4 - (7*s[15])/12 - 
       s[16]/2 - (9*s[17])/4 - (5*s[18])/6 - s[19]/6 - (11*s[20])/6 - 
       (7*s[21])/4 - s[22]/12 + s[23]/2 - s[24]/6 + (257*s[25])/108 - 
       (41*s[26])/108) + A9[u, v, w]*HPL[{1}, 1 - v]*
      (s[4]/2 - s[5]/2 + s[6] + s[7]/4 - s[8] + s[9]/2 + s[10]/2 - 
       (3*s[11])/4 - (3*s[12])/2 - (7*s[13])/4 + (3*s[14])/4 + (7*s[15])/12 + 
       s[16]/2 + (9*s[17])/4 + (5*s[18])/6 + s[19]/6 + (11*s[20])/6 + 
       (7*s[21])/4 + s[22]/12 - s[23]/2 + s[24]/6 - (257*s[25])/108 + 
       (41*s[26])/108) + C3[w, v, u]*s[26] + A6[u, v, w]*HPL[{1}, 1 - w]*
      ((-2*s[18])/3 + (2*s[19])/3 - (2*s[20])/3 - 2*s[21] - s[24] + 
       (49*s[25])/54 + (59*s[26])/54) + A8[u, v, w]*HPL[{1}, 1 - v]*
      (4*s[6] + s[7]/2 - (3*s[11])/2 - (9*s[13])/2 - (9*s[14])/2 + 
       (5*s[15])/6 - s[16] - (7*s[17])/2 + (8*s[18])/3 - (2*s[19])/3 + 
       (8*s[20])/3 + s[21]/6 + s[22]/6 - 17*s[23] + 3*s[24] - 
       (125*s[25])/54 + (89*s[26])/54) + C15[w, v, u]*
      ((-3*s[4])/2 + (3*s[5])/2 + (29*s[7])/12 + (11*s[8])/9 - (59*s[9])/18 - 
       (49*s[10])/18 - (11*s[11])/12 + (13*s[12])/6 + (11*s[13])/4 - 
       (101*s[14])/12 - (25*s[15])/4 - (11*s[16])/2 - (127*s[17])/12 - 
       (187*s[18])/54 + (121*s[19])/54 - (739*s[20])/54 - (1037*s[21])/108 + 
       (151*s[22])/108 - (3*s[23])/2 - (7*s[24])/54 + (3757*s[25])/972 + 
       (3227*s[26])/972) + A10[u, v, w]*HPL[{1}, 1 - v]*
      (-8*s[4] + 6*s[6] + 6*s[7] + 10*s[8] - 14*s[9] - 8*s[10] - 10*s[11] - 
       12*s[12] - 30*s[13] - 42*s[14] + 18*s[15] + 6*s[16] + 2*s[17] - 
       (8*s[18])/3 + (14*s[19])/3 - (68*s[20])/3 - (58*s[21])/3 + 
       (22*s[22])/3 - 164*s[23] + 8*s[24] + (67*s[25])/27 + (293*s[26])/27) + 
     C18[v, w, u]*s[28] + C11[v, u, w]*s[33] + A11[u, v, w]*HPL[{1}, 1 - v]*
      (5*s[2] - 8*s[3] - (135*s[4])/4 + (636*s[5])/11 + (2111*s[6])/44 + 
       (29169*s[7])/88 + (18611*s[8])/594 - (36649*s[9])/108 - 
       (8203*s[10])/54 - (251633*s[11])/792 - (91385*s[12])/396 - 
       (99389*s[13])/792 - (243233*s[14])/792 - (40309*s[15])/72 - 
       (60331*s[16])/99 - (552653*s[17])/792 - (16951*s[18])/162 - 
       (913*s[19])/81 - (1638581*s[20])/1782 - (3338177*s[21])/7128 + 
       (1329877*s[22])/7128 - (40687*s[23])/396 + (674365*s[24])/1782 - 
       (16093907*s[25])/64152 + (18809315*s[26])/64152 + 2*s[29] - s[30] + 
       3*s[31] - s[32]/2 + (9*s[33])/4 - 4*s[34]) + 
     A11[u, v, w]*HPL[{1}, 1 - w]*(-5*s[2] + 8*s[3] + (135*s[4])/4 - 
       (636*s[5])/11 - (2111*s[6])/44 - (29169*s[7])/88 - (18611*s[8])/594 + 
       (36649*s[9])/108 + (8203*s[10])/54 + (251633*s[11])/792 + 
       (91385*s[12])/396 + (99389*s[13])/792 + (243233*s[14])/792 + 
       (40309*s[15])/72 + (60331*s[16])/99 + (552653*s[17])/792 + 
       (16951*s[18])/162 + (913*s[19])/81 + (1638581*s[20])/1782 + 
       (3338177*s[21])/7128 - (1329877*s[22])/7128 + (40687*s[23])/396 - 
       (674365*s[24])/1782 + (16093907*s[25])/64152 - 
       (18809315*s[26])/64152 - 2*s[29] + s[30] - 3*s[31] + s[32]/2 - 
       (9*s[33])/4 + 4*s[34]) + 2*A1[v, u, w]*HPL[{1}, 1 - v]*s[56] - 
     2*A1[w, u, v]*HPL[{1}, 1 - v]*s[56] + F1[u, v, w]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*s[56] - 2*A1[v, u, w]*HPL[{1}, 1 - w]*s[56] + 
     2*A1[w, u, v]*HPL[{1}, 1 - w]*s[56] - 2*F1[u, v, w]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*s[56] + F1[u, v, w]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*s[56] + (HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
       Phi6[u, v, w]*s[56])/2 - HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*Phi6[u, v, w]*s[56] + 
     (HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*Phi6[u, v, w]*s[56])/2 + 
     C24[u, v, w]*(16*s[4] + 13*s[5] + 20*s[6] + (814*s[7])/3 - (56*s[8])/3 - 
       (692*s[9])/3 - (244*s[10])/3 - 302*s[11] - 328*s[12] - (590*s[13])/3 - 
       22*s[14] - (1130*s[15])/3 - (1388*s[16])/3 - (1090*s[17])/3 - 
       (320*s[18])/9 - (628*s[19])/9 - (4808*s[20])/9 - 186*s[21] + 
       (1286*s[22])/9 + (712*s[23])/3 + (3020*s[24])/9 - (10438*s[25])/27 + 
       (5470*s[26])/27 + 16*s[38] - 40*s[39] + 40*s[40] - 32*s[41] + 
       48*s[42] + 40*s[43] - 36*s[44] + 40*s[45] - 304*s[46] + (20*s[47])/3 + 
       (44*s[48])/3 - (572*s[49])/3 + 248*s[50] + (100*s[51])/3 + 
       (76*s[52])/3 - (496*s[53])/3 - 32*s[54] - 1060*s[55] - 212*s[56] + 
       (296*s[57])/3 - (3764*s[58])/9 + (4076*s[59])/9 + (24406*s[60])/9 - 
       (3032*s[61])/27) + C26[u, v, w]*(12*s[4] + 9*s[5] + 13*s[6] + 
       (407*s[7])/2 - 14*s[8] - 173*s[9] - 63*s[10] - (453*s[11])/2 - 
       246*s[12] - (295*s[13])/2 - (25*s[14])/2 - (565*s[15])/2 - 347*s[16] - 
       (545*s[17])/2 - 24*s[18] - 57*s[19] - 398*s[20] - (809*s[21])/6 + 
       (643*s[22])/6 + 168*s[23] + (763*s[24])/3 - (15781*s[25])/54 + 
       (8077*s[26])/54 + 12*s[38] - 30*s[39] + 30*s[40] - 24*s[41] + 
       36*s[42] + 30*s[43] - 27*s[44] + 30*s[45] - 228*s[46] + 5*s[47] + 
       11*s[48] - 147*s[49] + 190*s[50] + 25*s[51] + 19*s[52] - 124*s[53] - 
       32*s[54] - 795*s[55] - 151*s[56] + 62*s[57] - (925*s[58])/3 + 
       (1003*s[59])/3 + (12323*s[60])/6 - (2230*s[61])/27) + 
     C25[u, v, w]*(8*s[4] + 6*s[5] + 9*s[6] + (407*s[7])/3 - (28*s[8])/3 - 
       (346*s[9])/3 - (125*s[10])/3 - 151*s[11] - 164*s[12] - (295*s[13])/3 - 
       9*s[14] - (565*s[15])/3 - (694*s[16])/3 - (545*s[17])/3 - 
       (157*s[18])/9 - (326*s[19])/9 - (2392*s[20])/9 - 91*s[21] + 
       (643*s[22])/9 + (341*s[23])/3 + (1522*s[24])/9 - (1747*s[25])/9 + 
       (901*s[26])/9 + 8*s[38] - 20*s[39] + 20*s[40] - 16*s[41] + 24*s[42] + 
       20*s[43] - 18*s[44] + 20*s[45] - 152*s[46] + (10*s[47])/3 + 
       (22*s[48])/3 - (292*s[49])/3 + 126*s[50] + (50*s[51])/3 + 
       (38*s[52])/3 - (248*s[53])/3 - 20*s[54] - 530*s[55] - 102*s[56] + 
       (130*s[57])/3 - (1858*s[58])/9 + (2014*s[59])/9 + (12293*s[60])/9 - 
       (166*s[61])/3) + H1[w, u, v]*HPL[{1}, 1 - w]^2*
      ((27*s[5])/11 + (63*s[6])/44 + (2037*s[7])/88 - (27*s[8])/22 - 
       (81*s[9])/4 - 9*s[10] - (459*s[11])/22 - (747*s[12])/44 - 
       (305*s[13])/44 - (127*s[14])/11 - (355*s[15])/8 - (3777*s[16])/88 - 
       (518*s[17])/11 - (37*s[18])/12 - (71*s[19])/12 - (7415*s[20])/132 - 
       (232*s[21])/11 + (507*s[22])/44 + (731*s[23])/88 + (7603*s[24])/264 - 
       (14045*s[25])/594 + (19369*s[26])/1188 + (27*s[43])/22 - 
       (27*s[44])/44 + (54*s[45])/11 - (513*s[46])/22 - (59*s[47])/44 - 
       (15*s[48])/44 - (219*s[49])/44 + (225*s[50])/11 - (5*s[51])/44 - 
       (17*s[52])/44 - (799*s[53])/44 + (29*s[54])/11 - (5311*s[55])/44 - 
       (995*s[56])/44 - (694*s[57])/11 - (1799*s[58])/132 + 
       (2945*s[59])/132 + (18945*s[60])/88 - (3689*s[61])/297) + 
     H1[w, u, v]*HPL[{1}, 1 - v]^2*((43*s[5])/22 + (63*s[6])/44 + 
       (2037*s[7])/88 - (27*s[8])/22 - (81*s[9])/4 - 9*s[10] - 
       (235*s[11])/11 - (813*s[12])/44 - (393*s[13])/44 - (116*s[14])/11 - 
       (327*s[15])/8 - (3645*s[16])/88 - (485*s[17])/11 - (13*s[18])/4 - 
       (23*s[19])/4 - (2347*s[20])/44 - (1271*s[21])/66 + (1543*s[22])/132 + 
       (291*s[23])/88 + (7471*s[24])/264 - (28783*s[25])/1188 + 
       (9833*s[26])/594 + (27*s[43])/22 - (27*s[44])/44 + (54*s[45])/11 - 
       (513*s[46])/22 - (59*s[47])/44 - (15*s[48])/44 - (219*s[49])/44 + 
       (225*s[50])/11 - (5*s[51])/44 - (17*s[52])/44 - (799*s[53])/44 + 
       (29*s[54])/11 - (5311*s[55])/44 - (995*s[56])/44 - (694*s[57])/11 - 
       (1799*s[58])/132 + (2945*s[59])/132 + (18945*s[60])/88 - 
       (3689*s[61])/297) + A5[v, w, u]*HPL[{1}, 1 - v]*
      ((3*s[4])/2 + s[5] + (5*s[6])/2 + (247*s[7])/12 - (13*s[8])/6 - 
       (50*s[9])/3 - (16*s[10])/3 - (83*s[11])/4 - 21*s[12] - 
       (143*s[13])/12 - (11*s[14])/4 - (383*s[15])/12 - (107*s[16])/3 - 
       (379*s[17])/12 - (29*s[18])/9 - (65*s[19])/18 - (727*s[20])/18 - 
       (175*s[21])/12 + (365*s[22])/36 + (70*s[23])/3 + (203*s[24])/9 - 
       (725*s[25])/27 + (410*s[26])/27 - (3*s[39])/2 + (3*s[40])/2 - 
       (3*s[41])/2 + (5*s[42])/2 + (3*s[43])/2 - (3*s[44])/4 + (7*s[45])/2 - 
       23*s[46] + (5*s[47])/12 - (13*s[48])/12 - (71*s[49])/12 + 18*s[50] + 
       (19*s[51])/12 + (13*s[52])/12 - (46*s[53])/3 + 4*s[54] - 
       (1183*s[55])/12 - (99*s[56])/4 - (31*s[57])/3 - (1019*s[58])/36 + 
       (1151*s[59])/36 + (12971*s[60])/72 - (223*s[61])/18) + 
     A5[w, u, v]*HPL[{1}, 1 - w]*((5*s[5])/2 + (5*s[6])/2 + (137*s[7])/6 - 
       (7*s[8])/6 - (121*s[9])/6 - (47*s[10])/6 - (43*s[11])/2 - 
       (39*s[12])/2 - (29*s[13])/3 - 11*s[14] - (113*s[15])/3 - 
       (241*s[16])/6 - (121*s[17])/3 - (121*s[18])/18 - (10*s[19])/9 - 
       (485*s[20])/9 - (143*s[21])/6 + (104*s[22])/9 + (119*s[23])/6 + 
       (409*s[24])/18 - (2497*s[25])/108 + (1993*s[26])/108 - (3*s[39])/2 + 
       (3*s[40])/2 - (3*s[41])/2 + (5*s[42])/2 + (3*s[43])/2 - (3*s[44])/4 + 
       (7*s[45])/2 - 23*s[46] + (5*s[47])/12 - (13*s[48])/12 - 
       (71*s[49])/12 + 18*s[50] + (19*s[51])/12 + (13*s[52])/12 - 
       (46*s[53])/3 + 4*s[54] - (1183*s[55])/12 - (99*s[56])/4 - 
       (31*s[57])/3 - (1019*s[58])/36 + (1151*s[59])/36 + (12971*s[60])/72 - 
       (223*s[61])/18) + HPL[{1}, 1 - w]^2*J1[w, u, v]*
      ((45*s[5])/44 + (105*s[6])/176 + (3395*s[7])/352 - (45*s[8])/88 - 
       (135*s[9])/16 - (15*s[10])/4 - (765*s[11])/88 - (1245*s[12])/176 - 
       (479*s[13])/176 - (219*s[14])/44 - (581*s[15])/32 - (6295*s[16])/352 - 
       (214*s[17])/11 - (59*s[18])/48 - (121*s[19])/48 - (12505*s[20])/528 - 
       (290*s[21])/33 + (845*s[22])/176 + (1277*s[23])/352 + 
       (4263*s[24])/352 - (23467*s[25])/2376 + (32399*s[26])/4752 + 
       (45*s[43])/88 - (45*s[44])/176 + (45*s[45])/22 - (855*s[46])/88 - 
       (157*s[47])/176 - (25*s[48])/176 - (365*s[49])/176 + (375*s[50])/44 - 
       (67*s[51])/176 + s[52]/176 - (1273*s[53])/176 + (63*s[54])/44 - 
       (8617*s[55])/176 - (1717*s[56])/176 - (571*s[57])/22 - 
       (1019*s[58])/176 + (1597*s[59])/176 + (95429*s[60])/1056 - 
       (6229*s[61])/1188) + HPL[{1}, 1 - v]^2*J1[w, u, v]*
      ((57*s[5])/88 + (105*s[6])/176 + (3395*s[7])/352 - (45*s[8])/88 - 
       (135*s[9])/16 - (15*s[10])/4 - (399*s[11])/44 - (1443*s[12])/176 - 
       (743*s[13])/176 - (93*s[14])/22 - (513*s[15])/32 - (5899*s[16])/352 - 
       (757*s[17])/44 - (65*s[18])/48 - (115*s[19])/48 - (11383*s[20])/528 - 
       (667*s[21])/88 + (867*s[22])/176 - (43*s[23])/352 + (4131*s[24])/352 - 
       (50201*s[25])/4752 + (16447*s[26])/2376 + (45*s[43])/88 - 
       (45*s[44])/176 + (45*s[45])/22 - (855*s[46])/88 - (157*s[47])/176 - 
       (25*s[48])/176 - (365*s[49])/176 + (375*s[50])/44 - (67*s[51])/176 + 
       s[52]/176 - (1273*s[53])/176 + (63*s[54])/44 - (8617*s[55])/176 - 
       (1717*s[56])/176 - (571*s[57])/22 - (1019*s[58])/176 + 
       (1597*s[59])/176 + (95429*s[60])/1056 - (6229*s[61])/1188) + 
     C14[u, v, w]*(2*s[6] - s[8] + 2*s[10] - 4*s[14] - (8*s[18])/3 + 
       (14*s[19])/3 - (8*s[20])/3 - 4*s[21] + 10*s[23] - (8*s[24])/3 + 
       (44*s[25])/27 + (64*s[26])/27 - s[38] + s[39] - 2*s[46] + 4*s[49] - 
       4*s[50] + 8*s[54] - 10*s[56] + 13*s[57] - (22*s[58])/3 + 
       (16*s[59])/3 - (62*s[60])/3 - (169*s[61])/54) + 
     C14[u, w, v]*(4*s[6] + 2*s[7] - s[9] + s[10] - 2*s[11] - s[12] - 
       2*s[13] - 6*s[14] - 2*s[16] - s[17] - (13*s[18])/3 + (19*s[19])/3 - 
       (16*s[20])/3 - (17*s[21])/3 + (2*s[22])/3 + 10*s[23] - (11*s[24])/3 - 
       (35*s[25])/54 + (233*s[26])/54 - s[38] + s[39] - 2*s[46] + 4*s[49] - 
       4*s[50] + 8*s[54] - 10*s[56] + 13*s[57] - (22*s[58])/3 + 
       (16*s[59])/3 - (62*s[60])/3 - (169*s[61])/54) + 
     A1[u, v, w]*HPL[{1}, 1 - v]*((15*s[5])/11 + (23*s[6])/22 + 
       (368*s[7])/33 - (23*s[8])/66 - (61*s[9])/6 - (13*s[10])/3 - 
       (389*s[11])/44 - (195*s[12])/44 - (113*s[13])/66 - (62*s[14])/11 - 
       26*s[15] - (703*s[16])/33 - (3809*s[17])/132 - s[18]/18 - 
       (77*s[19])/18 - (5147*s[20])/198 - (215*s[21])/22 + (1031*s[22])/198 + 
       (83*s[23])/132 + (6301*s[24])/396 - (12341*s[25])/1188 + 
       (9047*s[26])/1188 - s[37] + (24*s[43])/11 + (9*s[44])/22 + 
       (30*s[45])/11 - (126*s[46])/11 - (20*s[47])/33 - (20*s[48])/33 - 
       (160*s[49])/33 + (103*s[50])/11 - (12*s[51])/11 - (5*s[52])/66 - 
       (398*s[53])/33 + (10*s[54])/11 - (796*s[55])/11 - (78*s[56])/11 - 
       (1835*s[57])/33 + (377*s[58])/99 + (931*s[59])/99 + (10775*s[60])/99 - 
       (1817*s[61])/594) + A1[u, w, v]*HPL[{1}, 1 - w]*
      ((15*s[5])/11 + (23*s[6])/22 + (368*s[7])/33 - (23*s[8])/66 - 
       (61*s[9])/6 - (13*s[10])/3 - (389*s[11])/44 - (195*s[12])/44 - 
       (113*s[13])/66 - (62*s[14])/11 - 26*s[15] - (703*s[16])/33 - 
       (3809*s[17])/132 - s[18]/18 - (77*s[19])/18 - (5147*s[20])/198 - 
       (689*s[21])/66 + (1031*s[22])/198 - (181*s[23])/132 + 
       (6301*s[24])/396 - (11945*s[25])/1188 + (9443*s[26])/1188 - s[37] + 
       (24*s[43])/11 + (9*s[44])/22 + (30*s[45])/11 - (126*s[46])/11 - 
       (20*s[47])/33 - (20*s[48])/33 - (160*s[49])/33 + (103*s[50])/11 - 
       (12*s[51])/11 - (5*s[52])/66 - (398*s[53])/33 + (10*s[54])/11 - 
       (796*s[55])/11 - (78*s[56])/11 - (1835*s[57])/33 + (377*s[58])/99 + 
       (931*s[59])/99 + (10775*s[60])/99 - (1817*s[61])/594) + 
     A4[v, w, u]*HPL[{1}, 1 - w]*(s[6] + (2*s[8])/9 + (2*s[9])/9 + 
       (7*s[10])/9 - s[11]/6 - (5*s[12])/6 - (7*s[13])/6 - (5*s[14])/3 + 
       (16*s[15])/3 + (17*s[16])/6 + (13*s[17])/3 - (20*s[18])/27 + 
       (41*s[19])/27 + (119*s[20])/54 + (95*s[21])/54 - (5*s[22])/27 - 
       (11*s[23])/3 - (53*s[24])/27 - (307*s[25])/486 - (193*s[26])/243 + 
       s[37] - s[43] + s[47]/6 + s[48]/6 + (17*s[49])/6 - s[50] + 
       (3*s[51])/2 + s[52]/3 + (5*s[53])/3 + 4*s[54] + (21*s[55])/2 - 
       (9*s[56])/2 + 10*s[57] - (53*s[58])/18 - (61*s[59])/18 - 
       (551*s[60])/36 - (307*s[61])/162) + A4[w, u, v]*HPL[{1}, 1 - v]*
      (s[7]/6 + s[8]/9 + s[9]/9 - s[10]/9 + s[11]/6 - (2*s[12])/3 + s[13]/3 - 
       (5*s[14])/6 + (13*s[15])/6 + (5*s[16])/6 + 3*s[17] - (70*s[18])/27 + 
       (67*s[19])/27 - (29*s[20])/54 - (13*s[21])/27 - (5*s[22])/54 + 
       (29*s[23])/6 - (161*s[24])/54 + (241*s[25])/486 + (37*s[26])/243 + 
       s[37] - s[43] + s[47]/6 + s[48]/6 + (17*s[49])/6 - s[50] + 
       (3*s[51])/2 + s[52]/3 + (5*s[53])/3 + 4*s[54] + (21*s[55])/2 - 
       (9*s[56])/2 + 10*s[57] - (53*s[58])/18 - (61*s[59])/18 - 
       (551*s[60])/36 - (307*s[61])/162) + C24[v, w, u]*
      (s[8] - 2*s[46] - 2*s[56] + s[57] - 2*s[58] - (2*s[60])/3 - 
       (3*s[61])/2) + C24[w, u, v]*(2*s[6] + 2*s[7] - s[9] - s[10] - 
       2*s[11] - 2*s[12] - 2*s[13] - 2*s[14] - 2*s[16] - s[17] - 
       (5*s[18])/3 + (5*s[19])/3 - (8*s[20])/3 - (5*s[21])/3 + (2*s[22])/3 - 
       s[24] - (41*s[25])/18 + (35*s[26])/18 + s[32] - 2*s[46] - 2*s[56] + 
       s[57] - 2*s[58] - (2*s[60])/3 - (3*s[61])/2) + 
     A7[v, w, u]*HPL[{1}, 1 - v]*(s[8] - s[38] - 2*s[46] - 2*s[56] + s[57] - 
       2*s[58] - (2*s[60])/3 - (3*s[61])/2) + A7[w, u, v]*HPL[{1}, 1 - w]*
      (2*s[6] + 2*s[7] - s[9] - s[10] - 2*s[11] - s[12] - 2*s[13] - 2*s[14] - 
       2*s[16] - s[17] - (5*s[18])/3 + (5*s[19])/3 - (8*s[20])/3 - 
       (5*s[21])/3 + (2*s[22])/3 - s[24] - (41*s[25])/18 + (35*s[26])/18 - 
       s[38] - 2*s[46] - 2*s[56] + s[57] - 2*s[58] - (2*s[60])/3 - 
       (3*s[61])/2) + HPL[{1}, 1 - w]^2*J1[v, w, u]*
      ((9*s[5])/44 + (21*s[6])/176 + (679*s[7])/352 - (9*s[8])/88 - 
       (27*s[9])/16 - (3*s[10])/4 - (153*s[11])/88 - (249*s[12])/176 - 
       (175*s[13])/176 - (6*s[14])/11 - (121*s[15])/32 - (1259*s[16])/352 - 
       (191*s[17])/44 - (19*s[18])/48 - (17*s[19])/48 - (2105*s[20])/528 - 
       (58*s[21])/33 + (169*s[22])/176 + (97*s[23])/352 + (747*s[24])/352 - 
       (4535*s[25])/2376 + (6163*s[26])/4752 + (9*s[43])/88 - (9*s[44])/176 + 
       (9*s[45])/22 - (171*s[46])/88 - (5*s[47])/176 - (5*s[48])/176 - 
       (73*s[49])/176 + (75*s[50])/44 + (13*s[51])/176 + (53*s[52])/176 - 
       (149*s[53])/176 - (27*s[54])/44 - (1433*s[55])/176 - (361*s[56])/176 - 
       (101*s[57])/22 - (327*s[58])/176 + (205*s[59])/176 + 
       (19825*s[60])/1056 - (1259*s[61])/1188) + HPL[{1}, 1 - v]^2*
      J1[u, v, w]*((-15*s[5])/88 + (21*s[6])/176 + (679*s[7])/352 - 
       (9*s[8])/88 - (27*s[9])/16 - (3*s[10])/4 - (93*s[11])/44 - 
       (447*s[12])/176 - (307*s[13])/176 - (6*s[14])/11 - (45*s[15])/32 - 
       (863*s[16])/352 - (59*s[17])/44 - (13*s[18])/48 - (23*s[19])/48 - 
       (2435*s[20])/528 - (63*s[21])/88 + (191*s[22])/176 - (959*s[23])/352 + 
       (791*s[24])/352 - (14053*s[25])/4752 + (3395*s[26])/2376 + 
       (9*s[43])/88 - (9*s[44])/176 + (9*s[45])/22 - (171*s[46])/88 - 
       (5*s[47])/176 - (5*s[48])/176 - (73*s[49])/176 + (75*s[50])/44 + 
       (13*s[51])/176 + (53*s[52])/176 - (149*s[53])/176 - (27*s[54])/44 - 
       (1433*s[55])/176 - (361*s[56])/176 - (101*s[57])/22 - 
       (327*s[58])/176 + (205*s[59])/176 + (19825*s[60])/1056 - 
       (1259*s[61])/1188) + A6[w, u, v]*HPL[{1}, 1 - w]*
      (-s[4] - s[7]/6 + (4*s[8])/9 + (4*s[9])/9 + (5*s[10])/9 - s[11]/3 - 
       (7*s[12])/6 - (3*s[13])/2 - (5*s[14])/6 + (25*s[15])/6 + 2*s[16] + 
       (10*s[17])/3 - (7*s[18])/27 + (22*s[19])/27 + (35*s[20])/27 + 
       (43*s[21])/54 - (11*s[22])/54 - (5*s[23])/2 - (41*s[24])/54 - 
       (221*s[25])/486 - (85*s[26])/486 + s[41] + s[49] - 2*s[50] + 4*s[54] - 
       4*s[56] + (16*s[57])/3 - (17*s[58])/9 + (17*s[59])/9 - (61*s[60])/6 - 
       (80*s[61])/81) + A6[v, w, u]*HPL[{1}, 1 - v]*(s[5] + s[6] + s[7]/6 + 
       (2*s[8])/9 + (2*s[9])/9 + (7*s[10])/9 + s[11]/3 + (7*s[12])/6 + 
       (5*s[13])/2 - (19*s[14])/6 - (25*s[15])/6 - 3*s[16] - (16*s[17])/3 - 
       (53*s[18])/27 + (47*s[19])/27 - (113*s[20])/27 - (199*s[21])/54 - 
       (19*s[22])/54 + (27*s[23])/2 - (79*s[24])/54 + (1055*s[25])/486 + 
       (655*s[26])/486 + s[41] + s[49] - 2*s[50] + 4*s[54] - 4*s[56] + 
       (16*s[57])/3 - (17*s[58])/9 + (17*s[59])/9 - (61*s[60])/6 - 
       (80*s[61])/81) + HPL[{1}, 1 - v]^2*J1[v, w, u]*
      ((51*s[5])/88 + (21*s[6])/176 + (679*s[7])/352 - (9*s[8])/88 - 
       (27*s[9])/16 - (3*s[10])/4 - (15*s[11])/11 - (51*s[12])/176 + 
       (89*s[13])/176 - (57*s[14])/44 - (189*s[15])/32 - (1655*s[16])/352 - 
       (145*s[17])/22 - (13*s[18])/48 - (23*s[19])/48 - (2435*s[20])/528 - 
       (239*s[21])/88 + (147*s[22])/176 + (1417*s[23])/352 + 
       (879*s[24])/352 - (4021*s[25])/4752 + (3131*s[26])/2376 + 
       (9*s[43])/88 - (9*s[44])/176 + (9*s[45])/22 - (171*s[46])/88 - 
       (5*s[47])/176 - (5*s[48])/176 - (73*s[49])/176 + (75*s[50])/44 + 
       (13*s[51])/176 - (79*s[52])/176 - (413*s[53])/176 + (39*s[54])/44 - 
       (2225*s[55])/176 - (449*s[56])/176 - (67*s[57])/11 - (63*s[58])/176 + 
       (469*s[59])/176 + (17713*s[60])/1056 - (290*s[61])/297) + 
     HPL[{1}, 1 - w]^2*J1[u, v, w]*((9*s[5])/44 + (21*s[6])/176 + 
       (679*s[7])/352 - (9*s[8])/88 - (27*s[9])/16 - (3*s[10])/4 - 
       (153*s[11])/88 - (249*s[12])/176 - (43*s[13])/176 - (57*s[14])/44 - 
       (121*s[15])/32 - (1259*s[16])/352 - (79*s[17])/22 - (7*s[18])/48 - 
       (29*s[19])/48 - (2765*s[20])/528 - (58*s[21])/33 + (169*s[22])/176 + 
       (361*s[23])/352 + (923*s[24])/352 - (4799*s[25])/2376 + 
       (6691*s[26])/4752 + (9*s[43])/88 - (9*s[44])/176 + (9*s[45])/22 - 
       (171*s[46])/88 - (5*s[47])/176 - (5*s[48])/176 - (73*s[49])/176 + 
       (75*s[50])/44 + (13*s[51])/176 - (79*s[52])/176 - (413*s[53])/176 + 
       (39*s[54])/44 - (2225*s[55])/176 - (449*s[56])/176 - (67*s[57])/11 - 
       (63*s[58])/176 + (469*s[59])/176 + (17713*s[60])/1056 - 
       (290*s[61])/297) + C26[v, w, u]*(-s[18]/3 + s[19]/3 + (2*s[20])/3 + 
       (2*s[21])/3 + s[23] - (8*s[25])/27 - (10*s[26])/27 + 2*s[54] - 
       2*s[56] + s[57] - (8*s[60])/3 - (22*s[61])/27) + 
     C26[w, u, v]*((2*s[18])/3 + s[19]/3 + (2*s[20])/3 - (8*s[25])/27 + 
       (8*s[26])/27 + 2*s[54] - 2*s[56] + s[57] - (8*s[60])/3 - 
       (22*s[61])/27) + A1[w, v, u]*HPL[{1}, 1 - w]*(s[4] - (15*s[5])/11 + 
       (87*s[6])/22 + (61*s[7])/33 - (7*s[8])/22 + s[9]/2 + 2*s[10] - 
       (293*s[11])/44 - (465*s[12])/44 - (877*s[13])/66 + (113*s[14])/22 + 
       (17*s[15])/3 - (56*s[16])/33 + (905*s[17])/132 + (89*s[18])/18 - 
       (71*s[19])/18 + (1094*s[20])/99 + (1253*s[21])/198 + (28*s[22])/33 - 
       (215*s[23])/132 + (1141*s[24])/132 - (49349*s[25])/3564 + 
       (9137*s[26])/3564 + s[37] + s[38] - 2*s[39] + 2*s[40] - s[41] + 
       2*s[42] + (31*s[43])/11 - (32*s[44])/11 - (19*s[45])/11 - 
       (72*s[46])/11 - (46*s[47])/33 + (185*s[48])/33 - (401*s[49])/33 + 
       (18*s[50])/11 + (14*s[51])/33 + (19*s[52])/33 + (2*s[53])/33 - 
       (10*s[54])/11 + (37*s[55])/11 - (54*s[56])/11 + (1318*s[57])/33 - 
       (202*s[58])/11 + (566*s[59])/33 + (5197*s[60])/99 - (712*s[61])/891) + 
     A1[v, w, u]*HPL[{1}, 1 - v]*((7*s[5])/11 + (21*s[6])/22 + 
       (226*s[7])/33 - (7*s[8])/22 - (11*s[9])/2 - 2*s[10] - (359*s[11])/44 - 
       (487*s[12])/44 - (349*s[13])/66 - (63*s[14])/22 - 5*s[15] - 
       (353*s[16])/33 - (481*s[17])/132 - (103*s[18])/18 + (67*s[19])/18 - 
       (1744*s[20])/99 - (2113*s[21])/198 + (35*s[22])/11 + 
       (3283*s[23])/132 + (415*s[24])/132 - (25259*s[25])/3564 + 
       (27815*s[26])/3564 + s[37] + s[38] - 2*s[39] + 2*s[40] - s[41] + 
       2*s[42] + (31*s[43])/11 - (32*s[44])/11 - (19*s[45])/11 - 
       (72*s[46])/11 - (46*s[47])/33 + (185*s[48])/33 - (401*s[49])/33 + 
       (18*s[50])/11 + (14*s[51])/33 + (19*s[52])/33 + (2*s[53])/33 - 
       (10*s[54])/11 + (37*s[55])/11 - (54*s[56])/11 + (1318*s[57])/33 - 
       (202*s[58])/11 + (566*s[59])/33 + (5197*s[60])/99 - (712*s[61])/891) + 
     C11[u, v, w]*(-2*s[4] + s[18] + 6*s[57] - 2*s[58] + 2*s[59] - 7*s[60] - 
       (2*s[61])/3) + C11[u, w, v]*(s[3] - s[18] + 6*s[23] - 2*s[24] + 
       6*s[57] - 2*s[58] + 2*s[59] - 7*s[60] - (2*s[61])/3) + 
     A2[u, w, v]*HPL[{1}, 1 - w]*(s[18] - s[47] + s[48] - s[51] - 2*s[55] - 
       s[56] + s[57] - s[58] + 2*s[59] - (13*s[60])/6 - (16*s[61])/27) + 
     A2[u, v, w]*HPL[{1}, 1 - v]*(s[6] - s[10] + s[12] - 2*s[15] - s[16] - 
       s[17] - (2*s[18])/3 + (2*s[19])/3 - (2*s[20])/3 - (7*s[21])/3 + 
       2*s[23] - s[24] + (17*s[25])/27 + (46*s[26])/27 - s[47] + s[48] - 
       s[51] - 2*s[55] - s[56] + s[57] - s[58] + 2*s[59] - (13*s[60])/6 - 
       (16*s[61])/27) + C19[u, v, w]*(2*s[23] - (2*s[24])/3 + 4*s[57] - 
       (4*s[58])/3 + (4*s[59])/3 - (2*s[60])/3 - (4*s[61])/9) + 
     C23[u, v, w]*((-3*s[4])/2 + s[5]/2 + s[6] - (115*s[7])/12 + (2*s[8])/3 + 
       (49*s[9])/6 + (17*s[10])/6 + (55*s[11])/4 + (37*s[12])/2 + 
       (149*s[13])/12 - (23*s[14])/4 + (31*s[15])/4 + (85*s[16])/6 + 
       (49*s[17])/12 - (35*s[18])/18 + (131*s[19])/18 + (247*s[20])/18 + 
       (7*s[21])/12 - (203*s[22])/36 - (11*s[23])/6 - (307*s[24])/18 + 
       (2167*s[25])/108 - (583*s[26])/108 - 2*s[38] + 3*s[39] - 3*s[40] + 
       3*s[41] - 3*s[42] - 3*s[43] + (5*s[44])/2 - s[45] + 12*s[46] - 
       (7*s[47])/6 - (13*s[48])/6 + (97*s[49])/6 - 12*s[50] - (7*s[51])/2 - 
       (11*s[52])/6 + (10*s[53])/3 + 8*s[54] + (121*s[55])/6 - (7*s[56])/2 - 
       (56*s[57])/3 + (337*s[58])/18 - (313*s[59])/18 - (5041*s[60])/36 - 
       (7*s[61])/27) + C19[w, u, v]*(-s[14] - s[45] - 2*s[56] + 2*s[57] - 
       (2*s[58])/3 + (2*s[59])/3 - (7*s[60])/3 - (2*s[61])/9) + 
     C19[v, w, u]*(-2*s[3] + s[19] + 2*s[23] - (2*s[24])/3 - s[45] - 
       2*s[56] + 2*s[57] - (2*s[58])/3 + (2*s[59])/3 - (7*s[60])/3 - 
       (2*s[61])/9) + C13[w, v, u]*(s[14] + 2*s[23] - (2*s[24])/3 + s[40] + 
       s[45] + 2*s[56] + 2*s[57] - (2*s[58])/3 + (2*s[59])/3 - (7*s[60])/3 - 
       (2*s[61])/9) + C13[v, w, u]*(-s[19] + (2*s[21])/3 - (2*s[25])/3 + 
       s[40] + s[45] + 2*s[56] + 2*s[57] - (2*s[58])/3 + (2*s[59])/3 - 
       (7*s[60])/3 - (2*s[61])/9) + C20[v, w, u]*(-s[14] + s[18]/3 - 
       s[19]/3 - (2*s[20])/3 - s[22]/3 - (5*s[25])/9 + (5*s[26])/9 + 
       4*s[54] - s[55] - 2*s[57] - (4*s[60])/3 - (2*s[61])/9) + 
     C20[w, u, v]*(s[9] + s[18]/3 - s[19]/3 + s[20]/3 - s[21]/3 - s[22]/3 + 
       2*s[23] + s[25]/9 + (2*s[26])/9 + s[33] + 4*s[54] - s[55] - 2*s[57] - 
       (4*s[60])/3 - (2*s[61])/9) + A2[v, u, w]*HPL[{1}, 1 - v]*
      (s[15] + s[52] + 2*s[53] - 2*s[54] + 6*s[55] + 2*s[57] - 2*s[58] - 
       2*s[59] + (8*s[60])/3 - s[61]/9) + A2[w, u, v]*HPL[{1}, 1 - w]*
      (-s[5] - s[11] - 3*s[12] - 4*s[13] + s[14] + 5*s[15] + 3*s[16] + 
       7*s[17] - s[18]/3 + s[19]/3 + (8*s[20])/3 + 2*s[21] + s[22]/3 - 
       10*s[23] - s[24] - 2*s[25] + s[52] + 2*s[53] - 2*s[54] + 6*s[55] + 
       2*s[57] - 2*s[58] - 2*s[59] + (8*s[60])/3 - s[61]/9) + 
     A2[w, v, u]*HPL[{1}, 1 - v]*(-s[13] - s[16] - s[17] - s[21]/3 - s[23] - 
       s[24]/3 + s[25]/6 + s[26]/6 - s[49] - 2*s[51] - 4*s[54] - 4*s[55] + 
       s[56] - s[58] + 2*s[59] - (5*s[60])/6 - s[61]/54) + 
     A2[v, w, u]*HPL[{1}, 1 - w]*(-2*s[15] - s[16] - s[17] - s[18]/3 + 
       s[19]/3 - (4*s[20])/3 - (7*s[21])/3 - (2*s[24])/3 + (25*s[25])/27 + 
       (38*s[26])/27 - s[49] - 2*s[51] - 4*s[54] - 4*s[55] + s[56] - s[58] + 
       2*s[59] - (5*s[60])/6 - s[61]/54) + A2[v, w, u]*HPL[{1}, 1 - v]*
      (2*s[15] + s[16] + s[17] + s[18]/3 - s[19]/3 + (4*s[20])/3 + 
       (7*s[21])/3 + (2*s[24])/3 - (25*s[25])/27 - (38*s[26])/27 + s[49] + 
       2*s[51] + 4*s[54] + 4*s[55] - s[56] + s[58] - 2*s[59] + (5*s[60])/6 + 
       s[61]/54) + A2[w, v, u]*HPL[{1}, 1 - w]*(s[13] + s[16] + s[17] + 
       s[21]/3 + s[23] + s[24]/3 - s[25]/6 - s[26]/6 + s[49] + 2*s[51] + 
       4*s[54] + 4*s[55] - s[56] + s[58] - 2*s[59] + (5*s[60])/6 + 
       s[61]/54) + A2[v, u, w]*HPL[{1}, 1 - w]*(-s[15] - s[52] - 2*s[53] + 
       2*s[54] - 6*s[55] - 2*s[57] + 2*s[58] + 2*s[59] - (8*s[60])/3 + 
       s[61]/9) + A2[w, u, v]*HPL[{1}, 1 - v]*(s[5] + s[11] + 3*s[12] + 
       4*s[13] - s[14] - 5*s[15] - 3*s[16] - 7*s[17] + s[18]/3 - s[19]/3 - 
       (8*s[20])/3 - 2*s[21] - s[22]/3 + 10*s[23] + s[24] + 2*s[25] - s[52] - 
       2*s[53] + 2*s[54] - 6*s[55] - 2*s[57] + 2*s[58] + 2*s[59] - 
       (8*s[60])/3 + s[61]/9) + C11[v, w, u]*(s[60] + (5*s[61])/27) + 
     C11[w, v, u]*(s[22]/3 - (4*s[25])/27 + (4*s[26])/27 + s[60] + 
       (5*s[61])/27) + A2[u, w, v]*HPL[{1}, 1 - v]*(-s[18] + s[47] - s[48] + 
       s[51] + 2*s[55] + s[56] - s[57] + s[58] - 2*s[59] + (13*s[60])/6 + 
       (16*s[61])/27) + A2[u, v, w]*HPL[{1}, 1 - w]*(-s[6] + s[10] - s[12] + 
       2*s[15] + s[16] + s[17] + (2*s[18])/3 - (2*s[19])/3 + (2*s[20])/3 + 
       (7*s[21])/3 - 2*s[23] + s[24] - (17*s[25])/27 - (46*s[26])/27 + 
       s[47] - s[48] + s[51] + 2*s[55] + s[56] - s[57] + s[58] - 2*s[59] + 
       (13*s[60])/6 + (16*s[61])/27) + A1[v, w, u]*HPL[{1}, 1 - w]*
      ((-7*s[5])/11 - (21*s[6])/22 - (226*s[7])/33 + (7*s[8])/22 + 
       (11*s[9])/2 + 2*s[10] + (359*s[11])/44 + (487*s[12])/44 + 
       (349*s[13])/66 + (63*s[14])/22 + 5*s[15] + (353*s[16])/33 + 
       (481*s[17])/132 + (103*s[18])/18 - (67*s[19])/18 + (1744*s[20])/99 + 
       (2113*s[21])/198 - (35*s[22])/11 - (3283*s[23])/132 - 
       (415*s[24])/132 + (25259*s[25])/3564 - (27815*s[26])/3564 - s[37] - 
       s[38] + 2*s[39] - 2*s[40] + s[41] - 2*s[42] - (31*s[43])/11 + 
       (32*s[44])/11 + (19*s[45])/11 + (72*s[46])/11 + (46*s[47])/33 - 
       (185*s[48])/33 + (401*s[49])/33 - (18*s[50])/11 - (14*s[51])/33 - 
       (19*s[52])/33 - (2*s[53])/33 + (10*s[54])/11 - (37*s[55])/11 + 
       (54*s[56])/11 - (1318*s[57])/33 + (202*s[58])/11 - (566*s[59])/33 - 
       (5197*s[60])/99 + (712*s[61])/891) + A1[w, v, u]*HPL[{1}, 1 - v]*
      (-s[4] + (15*s[5])/11 - (87*s[6])/22 - (61*s[7])/33 + (7*s[8])/22 - 
       s[9]/2 - 2*s[10] + (293*s[11])/44 + (465*s[12])/44 + (877*s[13])/66 - 
       (113*s[14])/22 - (17*s[15])/3 + (56*s[16])/33 - (905*s[17])/132 - 
       (89*s[18])/18 + (71*s[19])/18 - (1094*s[20])/99 - (1253*s[21])/198 - 
       (28*s[22])/33 + (215*s[23])/132 - (1141*s[24])/132 + 
       (49349*s[25])/3564 - (9137*s[26])/3564 - s[37] - s[38] + 2*s[39] - 
       2*s[40] + s[41] - 2*s[42] - (31*s[43])/11 + (32*s[44])/11 + 
       (19*s[45])/11 + (72*s[46])/11 + (46*s[47])/33 - (185*s[48])/33 + 
       (401*s[49])/33 - (18*s[50])/11 - (14*s[51])/33 - (19*s[52])/33 - 
       (2*s[53])/33 + (10*s[54])/11 - (37*s[55])/11 + (54*s[56])/11 - 
       (1318*s[57])/33 + (202*s[58])/11 - (566*s[59])/33 - (5197*s[60])/99 + 
       (712*s[61])/891) + C13[u, v, w]*(-2*s[14] + (2*s[18])/3 - 
       (2*s[19])/3 - (4*s[20])/3 - (2*s[21])/3 - (2*s[22])/3 - 4*s[23] + 
       (4*s[24])/3 - s[25]/9 + (7*s[26])/9 + s[36] + 4*s[54] - 2*s[55] - 
       6*s[57] + (4*s[58])/3 - (4*s[59])/3 + (16*s[60])/3 + (8*s[61])/9) + 
     C13[u, w, v]*((2*s[21])/3 + 2*s[23] - (2*s[26])/3 + 2*s[33] + s[36] + 
       4*s[54] - 2*s[55] - 6*s[57] + (4*s[58])/3 - (4*s[59])/3 + 
       (16*s[60])/3 + (8*s[61])/9) + A6[v, w, u]*HPL[{1}, 1 - w]*
      (-s[5] - s[6] - s[7]/6 - (2*s[8])/9 - (2*s[9])/9 - (7*s[10])/9 - 
       s[11]/3 - (7*s[12])/6 - (5*s[13])/2 + (19*s[14])/6 + (25*s[15])/6 + 
       3*s[16] + (16*s[17])/3 + (53*s[18])/27 - (47*s[19])/27 + 
       (113*s[20])/27 + (199*s[21])/54 + (19*s[22])/54 - (27*s[23])/2 + 
       (79*s[24])/54 - (1055*s[25])/486 - (655*s[26])/486 - s[41] - s[49] + 
       2*s[50] - 4*s[54] + 4*s[56] - (16*s[57])/3 + (17*s[58])/9 - 
       (17*s[59])/9 + (61*s[60])/6 + (80*s[61])/81) + 
     A6[w, u, v]*HPL[{1}, 1 - v]*(s[4] + s[7]/6 - (4*s[8])/9 - (4*s[9])/9 - 
       (5*s[10])/9 + s[11]/3 + (7*s[12])/6 + (3*s[13])/2 + (5*s[14])/6 - 
       (25*s[15])/6 - 2*s[16] - (10*s[17])/3 + (7*s[18])/27 - (22*s[19])/27 - 
       (35*s[20])/27 - (43*s[21])/54 + (11*s[22])/54 + (5*s[23])/2 + 
       (41*s[24])/54 + (221*s[25])/486 + (85*s[26])/486 - s[41] - s[49] + 
       2*s[50] - 4*s[54] + 4*s[56] - (16*s[57])/3 + (17*s[58])/9 - 
       (17*s[59])/9 + (61*s[60])/6 + (80*s[61])/81) + 
     C15[u, v, w]*((3*s[39])/2 - (3*s[40])/2 + (3*s[41])/2 - (5*s[42])/2 - 
       (3*s[43])/2 + (5*s[44])/4 + (13*s[46])/2 - (7*s[47])/12 + 
       (11*s[48])/12 + (73*s[49])/12 - 5*s[50] - (17*s[51])/12 - 
       (11*s[52])/12 + (13*s[53])/3 + (83*s[55])/4 + (31*s[56])/12 - 
       (79*s[57])/9 + (953*s[58])/108 - (1259*s[59])/108 - (3511*s[60])/72 + 
       (1043*s[61])/972) + C15[u, w, v]*((-3*s[4])/2 - (3*s[6])/2 - 
       (127*s[7])/12 + (29*s[8])/18 + (73*s[9])/9 + (17*s[10])/9 + 
       (137*s[11])/12 + (37*s[12])/3 + (91*s[13])/12 - (31*s[14])/12 + 
       (187*s[15])/12 + (55*s[16])/3 + (57*s[17])/4 + (20*s[18])/27 + 
       (143*s[19])/54 + (907*s[20])/54 + (551*s[21])/108 - (559*s[22])/108 - 
       (56*s[23])/3 - (328*s[24])/27 + (8071*s[25])/486 - (3787*s[26])/486 + 
       (3*s[39])/2 - (3*s[40])/2 + (3*s[41])/2 - (5*s[42])/2 - (3*s[43])/2 + 
       (5*s[44])/4 + (13*s[46])/2 - (7*s[47])/12 + (11*s[48])/12 + 
       (73*s[49])/12 - 5*s[50] - (17*s[51])/12 - (11*s[52])/12 + 
       (13*s[53])/3 + (83*s[55])/4 + (31*s[56])/12 - (79*s[57])/9 + 
       (953*s[58])/108 - (1259*s[59])/108 - (3511*s[60])/72 + 
       (1043*s[61])/972) + A7[v, w, u]*HPL[{1}, 1 - w]*
      (-s[8] + s[38] + 2*s[46] + 2*s[56] - s[57] + 2*s[58] + (2*s[60])/3 + 
       (3*s[61])/2) + A7[w, u, v]*HPL[{1}, 1 - v]*(-2*s[6] - 2*s[7] + s[9] + 
       s[10] + 2*s[11] + s[12] + 2*s[13] + 2*s[14] + 2*s[16] + s[17] + 
       (5*s[18])/3 - (5*s[19])/3 + (8*s[20])/3 + (5*s[21])/3 - (2*s[22])/3 + 
       s[24] + (41*s[25])/18 - (35*s[26])/18 + s[38] + 2*s[46] + 2*s[56] - 
       s[57] + 2*s[58] + (2*s[60])/3 + (3*s[61])/2) + 
     A4[w, u, v]*HPL[{1}, 1 - w]*(-s[7]/6 - s[8]/9 - s[9]/9 + s[10]/9 - 
       s[11]/6 + (2*s[12])/3 - s[13]/3 + (5*s[14])/6 - (13*s[15])/6 - 
       (5*s[16])/6 - 3*s[17] + (70*s[18])/27 - (67*s[19])/27 + 
       (29*s[20])/54 + (13*s[21])/27 + (5*s[22])/54 - (29*s[23])/6 + 
       (161*s[24])/54 - (241*s[25])/486 - (37*s[26])/243 - s[37] + s[43] - 
       s[47]/6 - s[48]/6 - (17*s[49])/6 + s[50] - (3*s[51])/2 - s[52]/3 - 
       (5*s[53])/3 - 4*s[54] - (21*s[55])/2 + (9*s[56])/2 - 10*s[57] + 
       (53*s[58])/18 + (61*s[59])/18 + (551*s[60])/36 + (307*s[61])/162) + 
     A4[v, w, u]*HPL[{1}, 1 - v]*(-s[6] - (2*s[8])/9 - (2*s[9])/9 - 
       (7*s[10])/9 + s[11]/6 + (5*s[12])/6 + (7*s[13])/6 + (5*s[14])/3 - 
       (16*s[15])/3 - (17*s[16])/6 - (13*s[17])/3 + (20*s[18])/27 - 
       (41*s[19])/27 - (119*s[20])/54 - (95*s[21])/54 + (5*s[22])/27 + 
       (11*s[23])/3 + (53*s[24])/27 + (307*s[25])/486 + (193*s[26])/243 - 
       s[37] + s[43] - s[47]/6 - s[48]/6 - (17*s[49])/6 + s[50] - 
       (3*s[51])/2 - s[52]/3 - (5*s[53])/3 - 4*s[54] - (21*s[55])/2 + 
       (9*s[56])/2 - 10*s[57] + (53*s[58])/18 + (61*s[59])/18 + 
       (551*s[60])/36 + (307*s[61])/162) + A1[u, w, v]*HPL[{1}, 1 - v]*
      ((-15*s[5])/11 - (23*s[6])/22 - (368*s[7])/33 + (23*s[8])/66 + 
       (61*s[9])/6 + (13*s[10])/3 + (389*s[11])/44 + (195*s[12])/44 + 
       (113*s[13])/66 + (62*s[14])/11 + 26*s[15] + (703*s[16])/33 + 
       (3809*s[17])/132 + s[18]/18 + (77*s[19])/18 + (5147*s[20])/198 + 
       (689*s[21])/66 - (1031*s[22])/198 + (181*s[23])/132 - 
       (6301*s[24])/396 + (11945*s[25])/1188 - (9443*s[26])/1188 + s[37] - 
       (24*s[43])/11 - (9*s[44])/22 - (30*s[45])/11 + (126*s[46])/11 + 
       (20*s[47])/33 + (20*s[48])/33 + (160*s[49])/33 - (103*s[50])/11 + 
       (12*s[51])/11 + (5*s[52])/66 + (398*s[53])/33 - (10*s[54])/11 + 
       (796*s[55])/11 + (78*s[56])/11 + (1835*s[57])/33 - (377*s[58])/99 - 
       (931*s[59])/99 - (10775*s[60])/99 + (1817*s[61])/594) + 
     A1[u, v, w]*HPL[{1}, 1 - w]*((-15*s[5])/11 - (23*s[6])/22 - 
       (368*s[7])/33 + (23*s[8])/66 + (61*s[9])/6 + (13*s[10])/3 + 
       (389*s[11])/44 + (195*s[12])/44 + (113*s[13])/66 + (62*s[14])/11 + 
       26*s[15] + (703*s[16])/33 + (3809*s[17])/132 + s[18]/18 + 
       (77*s[19])/18 + (5147*s[20])/198 + (215*s[21])/22 - (1031*s[22])/198 - 
       (83*s[23])/132 - (6301*s[24])/396 + (12341*s[25])/1188 - 
       (9047*s[26])/1188 + s[37] - (24*s[43])/11 - (9*s[44])/22 - 
       (30*s[45])/11 + (126*s[46])/11 + (20*s[47])/33 + (20*s[48])/33 + 
       (160*s[49])/33 - (103*s[50])/11 + (12*s[51])/11 + (5*s[52])/66 + 
       (398*s[53])/33 - (10*s[54])/11 + (796*s[55])/11 + (78*s[56])/11 + 
       (1835*s[57])/33 - (377*s[58])/99 - (931*s[59])/99 - (10775*s[60])/99 + 
       (1817*s[61])/594) + H1[v, w, u]*HPL[{1}, 1 - w]^2*
      ((-9*s[5])/11 - (21*s[6])/44 - (679*s[7])/88 + (9*s[8])/22 + 
       (27*s[9])/4 + 3*s[10] + (153*s[11])/22 + (249*s[12])/44 + 
       (87*s[13])/44 + (46*s[14])/11 + (121*s[15])/8 + (1259*s[16])/88 + 
       (169*s[17])/11 + (11*s[18])/12 + (25*s[19])/12 + (2545*s[20])/132 + 
       (232*s[21])/33 - (169*s[22])/44 - (273*s[23])/88 - (2593*s[24])/264 + 
       (4711*s[25])/594 - (6515*s[26])/1188 - (9*s[43])/22 + (9*s[44])/44 - 
       (18*s[45])/11 + (171*s[46])/22 + (5*s[47])/44 + (5*s[48])/44 + 
       (73*s[49])/44 - (75*s[50])/11 - (13*s[51])/44 + (35*s[52])/44 + 
       (325*s[53])/44 - (17*s[54])/11 + (1961*s[55])/44 + (361*s[56])/44 + 
       (246*s[57])/11 + (151*s[58])/44 - (381*s[59])/44 - (6139*s[60])/88 + 
       (1193*s[61])/297) + H1[u, v, w]*HPL[{1}, 1 - v]^2*
      ((-29*s[5])/22 - (21*s[6])/44 - (679*s[7])/88 + (9*s[8])/22 + 
       (27*s[9])/4 + 3*s[10] + (71*s[11])/11 + (183*s[12])/44 + 
       (43*s[13])/44 + (46*s[14])/11 + (141*s[15])/8 + (1391*s[16])/88 + 
       (213*s[17])/11 + (13*s[18])/12 + (23*s[19])/12 + (2435*s[20])/132 + 
       (541*s[21])/66 - (485*s[22])/132 - (625*s[23])/88 - (2549*s[24])/264 + 
       (2455*s[25])/396 - (1073*s[26])/198 - (9*s[43])/22 + (9*s[44])/44 - 
       (18*s[45])/11 + (171*s[46])/22 + (5*s[47])/44 + (5*s[48])/44 + 
       (73*s[49])/44 - (75*s[50])/11 - (13*s[51])/44 + (35*s[52])/44 + 
       (325*s[53])/44 - (17*s[54])/11 + (1961*s[55])/44 + (361*s[56])/44 + 
       (246*s[57])/11 + (151*s[58])/44 - (381*s[59])/44 - (6139*s[60])/88 + 
       (1193*s[61])/297) + H1[v, w, u]*HPL[{1}, 1 - v]^2*
      ((-7*s[5])/22 - (21*s[6])/44 - (679*s[7])/88 + (9*s[8])/22 + 
       (27*s[9])/4 + 3*s[10] + (82*s[11])/11 + (315*s[12])/44 + 
       (175*s[13])/44 + (35*s[14])/11 + (93*s[15])/8 + (1127*s[16])/88 + 
       (136*s[17])/11 + (13*s[18])/12 + (23*s[19])/12 + (2435*s[20])/132 + 
       (365*s[21])/66 - (529*s[22])/132 + (167*s[23])/88 - (2461*s[24])/264 + 
       (10709*s[25])/1188 - (3307*s[26])/594 - (9*s[43])/22 + (9*s[44])/44 - 
       (18*s[45])/11 + (171*s[46])/22 + (5*s[47])/44 + (5*s[48])/44 + 
       (73*s[49])/44 - (75*s[50])/11 - (13*s[51])/44 - (9*s[52])/44 + 
       (237*s[53])/44 + (5*s[54])/11 + (1697*s[55])/44 + (273*s[56])/44 + 
       (224*s[57])/11 + (239*s[58])/44 - (293*s[59])/44 - (19121*s[60])/264 + 
       (1226*s[61])/297) + H1[u, v, w]*HPL[{1}, 1 - w]^2*
      ((-9*s[5])/11 - (21*s[6])/44 - (679*s[7])/88 + (9*s[8])/22 + 
       (27*s[9])/4 + 3*s[10] + (153*s[11])/22 + (249*s[12])/44 + 
       (131*s[13])/44 + (35*s[14])/11 + (121*s[15])/8 + (1259*s[16])/88 + 
       (180*s[17])/11 + (5*s[18])/4 + (7*s[19])/4 + (775*s[20])/44 + 
       (232*s[21])/33 - (169*s[22])/44 - (185*s[23])/88 - (2417*s[24])/264 + 
       (1541*s[25])/198 - (2113*s[26])/396 - (9*s[43])/22 + (9*s[44])/44 - 
       (18*s[45])/11 + (171*s[46])/22 + (5*s[47])/44 + (5*s[48])/44 + 
       (73*s[49])/44 - (75*s[50])/11 - (13*s[51])/44 - (9*s[52])/44 + 
       (237*s[53])/44 + (5*s[54])/11 + (1697*s[55])/44 + (273*s[56])/44 + 
       (224*s[57])/11 + (239*s[58])/44 - (293*s[59])/44 - (19121*s[60])/264 + 
       (1226*s[61])/297) + HPL[{1}, 1 - v]^4*Phi6[u, v, w]*
      ((-9*s[5])/11 - (21*s[6])/44 - (679*s[7])/88 + (9*s[8])/22 + 
       (27*s[9])/4 + 3*s[10] + (153*s[11])/22 + (249*s[12])/44 + 
       (109*s[13])/44 + (81*s[14])/22 + (117*s[15])/8 + (1259*s[16])/88 + 
       (349*s[17])/22 + (13*s[18])/12 + (23*s[19])/12 + (2303*s[20])/132 + 
       (151*s[21])/22 - (169*s[22])/44 - (229*s[23])/88 - (835*s[24])/88 + 
       (9037*s[25])/1188 - (3263*s[26])/594 - (9*s[43])/22 + (9*s[44])/44 - 
       (18*s[45])/11 + (171*s[46])/22 + (27*s[47])/44 + (5*s[48])/44 + 
       (73*s[49])/44 - (75*s[50])/11 + (9*s[51])/44 + (13*s[52])/44 + 
       (281*s[53])/44 - (17*s[54])/11 + (1807*s[55])/44 + (361*s[56])/44 + 
       (235*s[57])/11 + (541*s[58])/132 - (1033*s[59])/132 - 
       (18857*s[60])/264 + (821*s[61])/198) + HPL[{1}, 1 - w]^4*Phi6[u, v, w]*
      ((-9*s[5])/11 - (21*s[6])/44 - (679*s[7])/88 + (9*s[8])/22 + 
       (27*s[9])/4 + 3*s[10] + (153*s[11])/22 + (249*s[12])/44 + 
       (87*s[13])/44 + (46*s[14])/11 + (117*s[15])/8 + (1259*s[16])/88 + 
       (169*s[17])/11 + (11*s[18])/12 + (25*s[19])/12 + (2545*s[20])/132 + 
       (232*s[21])/33 - (169*s[22])/44 - (273*s[23])/88 - (2593*s[24])/264 + 
       (4711*s[25])/594 - (6515*s[26])/1188 - (9*s[43])/22 + (9*s[44])/44 - 
       (18*s[45])/11 + (171*s[46])/22 + (27*s[47])/44 + (5*s[48])/44 + 
       (73*s[49])/44 - (75*s[50])/11 + (9*s[51])/44 + (13*s[52])/44 + 
       (281*s[53])/44 - (17*s[54])/11 + (1807*s[55])/44 + (361*s[56])/44 + 
       (235*s[57])/11 + (541*s[58])/132 - (1033*s[59])/132 - 
       (18857*s[60])/264 + (821*s[61])/198) + A5[w, u, v]*HPL[{1}, 1 - v]*
      ((-5*s[5])/2 - (5*s[6])/2 - (137*s[7])/6 + (7*s[8])/6 + (121*s[9])/6 + 
       (47*s[10])/6 + (43*s[11])/2 + (39*s[12])/2 + (29*s[13])/3 + 11*s[14] + 
       (113*s[15])/3 + (241*s[16])/6 + (121*s[17])/3 + (121*s[18])/18 + 
       (10*s[19])/9 + (485*s[20])/9 + (143*s[21])/6 - (104*s[22])/9 - 
       (119*s[23])/6 - (409*s[24])/18 + (2497*s[25])/108 - (1993*s[26])/108 + 
       (3*s[39])/2 - (3*s[40])/2 + (3*s[41])/2 - (5*s[42])/2 - (3*s[43])/2 + 
       (3*s[44])/4 - (7*s[45])/2 + 23*s[46] - (5*s[47])/12 + (13*s[48])/12 + 
       (71*s[49])/12 - 18*s[50] - (19*s[51])/12 - (13*s[52])/12 + 
       (46*s[53])/3 - 4*s[54] + (1183*s[55])/12 + (99*s[56])/4 + 
       (31*s[57])/3 + (1019*s[58])/36 - (1151*s[59])/36 - (12971*s[60])/72 + 
       (223*s[61])/18) + A5[v, w, u]*HPL[{1}, 1 - w]*
      ((-3*s[4])/2 - s[5] - (5*s[6])/2 - (247*s[7])/12 + (13*s[8])/6 + 
       (50*s[9])/3 + (16*s[10])/3 + (83*s[11])/4 + 21*s[12] + 
       (143*s[13])/12 + (11*s[14])/4 + (383*s[15])/12 + (107*s[16])/3 + 
       (379*s[17])/12 + (29*s[18])/9 + (65*s[19])/18 + (727*s[20])/18 + 
       (175*s[21])/12 - (365*s[22])/36 - (70*s[23])/3 - (203*s[24])/9 + 
       (725*s[25])/27 - (410*s[26])/27 + (3*s[39])/2 - (3*s[40])/2 + 
       (3*s[41])/2 - (5*s[42])/2 - (3*s[43])/2 + (3*s[44])/4 - (7*s[45])/2 + 
       23*s[46] - (5*s[47])/12 + (13*s[48])/12 + (71*s[49])/12 - 18*s[50] - 
       (19*s[51])/12 - (13*s[52])/12 + (46*s[53])/3 - 4*s[54] + 
       (1183*s[55])/12 + (99*s[56])/4 + (31*s[57])/3 + (1019*s[58])/36 - 
       (1151*s[59])/36 - (12971*s[60])/72 + (223*s[61])/18) + 
     C25[v, w, u]*((-15*s[4])/2 - (213*s[5])/22 - (201*s[6])/11 - 
       (21713*s[7])/132 + (1252*s[8])/99 + (2539*s[9])/18 + (737*s[10])/18 + 
       (24305*s[11])/132 + (6757*s[12])/33 + (5457*s[13])/44 + 
       (3089*s[14])/132 + (2509*s[15])/12 + (5969*s[16])/22 + 
       (26473*s[17])/132 + (1751*s[18])/54 + (1189*s[19])/54 + 
       (195133*s[20])/594 + (148409*s[21])/1188 - (103303*s[22])/1188 - 
       (2038*s[23])/11 - (53473*s[24])/297 + (2475353*s[25])/10692 - 
       (1406873*s[26])/10692 - s[37] - 8*s[38] + 26*s[39] - 28*s[40] + 
       20*s[41] - 35*s[42] - (254*s[43])/11 + (248*s[44])/11 - 
       (268*s[45])/11 + (2010*s[46])/11 - (103*s[47])/11 - (37*s[48])/11 + 
       (1112*s[49])/11 - (1454*s[50])/11 - (258*s[51])/11 - (237*s[52])/11 + 
       (994*s[53])/11 - (82*s[54])/11 + (19124*s[55])/33 + (1722*s[56])/11 - 
       (2380*s[57])/11 + (3331*s[58])/11 - (3323*s[59])/11 - 
       (49006*s[60])/33 + (22864*s[61])/297) + 
     C25[w, u, v]*(-4*s[3] - (25*s[4])/2 - (147*s[5])/22 - (223*s[6])/11 - 
       (21163*s[7])/132 + (1340*s[8])/99 + (2357*s[9])/18 + (667*s[10])/18 + 
       (24019*s[11])/132 + (6779*s[12])/33 + (5611*s[13])/44 + 
       (1087*s[14])/132 + (2447*s[15])/12 + (5859*s[16])/22 + 
       (25307*s[17])/132 + (1615*s[18])/54 + (1439*s[19])/54 + 
       (180635*s[20])/594 + (129511*s[21])/1188 - (97253*s[22])/1188 - 
       (2346*s[23])/11 - (52340*s[24])/297 + (2548195*s[25])/10692 - 
       (1354183*s[26])/10692 - s[37] - 8*s[38] + 26*s[39] - 28*s[40] + 
       20*s[41] - 35*s[42] - (254*s[43])/11 + (248*s[44])/11 - 
       (268*s[45])/11 + (2010*s[46])/11 - (103*s[47])/11 - (37*s[48])/11 + 
       (1112*s[49])/11 - (1454*s[50])/11 - (258*s[51])/11 - (237*s[52])/11 + 
       (994*s[53])/11 - (82*s[54])/11 + (19124*s[55])/33 + (1722*s[56])/11 - 
       (2380*s[57])/11 + (3331*s[58])/11 - (3323*s[59])/11 - 
       (49006*s[60])/33 + (22864*s[61])/297) + 
     C20[u, v, w]*(s[18]/3 - s[19]/3 - (2*s[20])/3 - s[23] + (8*s[25])/27 - 
       (8*s[26])/27 - 2*s[54] + 2*s[56] - 2*s[57] + (8*s[60])/3 + 
       (22*s[61])/27 + 2*s[63]) + C14[v, w, u]*(s[46] + s[68]) + 
     C14[w, v, u]*(-s[8] + s[46] + s[68]) + C13[w, u, v]*
      (s[56] - (2*s[58])/3 + (2*s[59])/3 - s[60]/3 + (4*s[61])/27 + s[69]) + 
     C13[v, u, w]*(-s[19] - (2*s[21])/3 - s[22]/3 - (2*s[24])/3 + 
       (10*s[25])/27 + (8*s[26])/27 + s[56] - (2*s[58])/3 + (2*s[59])/3 - 
       s[60]/3 + (4*s[61])/27 + s[69]) + C21[w, u, v]*
      (-2*s[6] - 2*s[7] + s[8] + s[9] + s[10] + 2*s[11] + 2*s[12] + 2*s[13] + 
       2*s[14] + 3*s[16] + 2*s[17] + (2*s[18])/3 - (5*s[19])/3 + 
       (8*s[20])/3 + (5*s[21])/3 - s[22] + s[24] + (113*s[25])/54 - 
       (95*s[26])/54 + s[70]) + C21[v, w, u]*(2*s[6] + 2*s[7] - s[8] - s[9] - 
       s[10] - 2*s[11] - 2*s[12] - 2*s[13] - 2*s[14] - 3*s[16] - 2*s[17] - 
       (2*s[18])/3 + (5*s[19])/3 - (8*s[20])/3 - (5*s[21])/3 + s[22] - 
       s[24] - (113*s[25])/54 + (95*s[26])/54 + s[70]) + 
     2*C22[u, v, w]*s[73] + C12[v, u, w]*s[76] + C12[w, u, v]*s[76] + 
     H1[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*((-9*s[2])/4 - 13*s[3] - 
       (149*s[4])/4 - (353*s[5])/11 - (3845*s[6])/44 - (53599*s[7])/88 + 
       (19829*s[8])/396 + (9095*s[9])/18 + (1145*s[10])/9 + 
       (182177*s[11])/264 + (26033*s[12])/33 + (129275*s[13])/264 + 
       (18071*s[14])/264 + (17411*s[15])/24 + (129865*s[16])/132 + 
       (178955*s[17])/264 + (15029*s[18])/108 + (5839*s[19])/108 + 
       (1405441*s[20])/1188 + (1059737*s[21])/2376 - (747199*s[22])/2376 - 
       (111041*s[23])/132 - (364531*s[24])/594 + (9522211*s[25])/10692 - 
       (1329634*s[26])/2673 - 2*s[32] + 3*s[33] + 3*s[36] - (13*s[37])/2 - 
       28*s[38] + (201*s[39])/2 - (223*s[40])/2 + (149*s[41])/2 - 141*s[42] - 
       (1805*s[43])/22 + (3697*s[44])/44 - (1047*s[45])/11 + 
       (15089*s[46])/22 - (2087*s[47])/44 + (47*s[48])/44 + 
       (14995*s[49])/44 - (5050*s[50])/11 - (12449*s[51])/132 - 
       (4203*s[52])/44 + (20857*s[53])/66 - (811*s[54])/11 + 
       (89203*s[55])/44 + (85495*s[56])/132 - (111844*s[57])/99 + 
       (1477115*s[58])/1188 - (1398869*s[59])/1188 - (1384145*s[60])/264 + 
       (3378791*s[61])/10692 - 3*s[73] - 3*s[77]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*J1[w, u, v]*((-15*s[2])/16 - 
       (11*s[3])/4 + (101*s[4])/16 + (295*s[5])/44 + (813*s[6])/176 + 
       (129637*s[7])/1056 - (12317*s[8])/1584 - (7703*s[9])/72 - 
       (1625*s[10])/36 - (139721*s[11])/1056 - (17465*s[12])/132 - 
       (79315*s[13])/1056 - (16031*s[14])/1056 - (19211*s[15])/96 - 
       (117977*s[16])/528 - (71169*s[17])/352 - (4361*s[18])/432 - 
       (18055*s[19])/432 - (1200433*s[20])/4752 - (859073*s[21])/9504 + 
       (620935*s[22])/9504 + (37573*s[23])/528 + (410923*s[24])/2376 - 
       (6951163*s[25])/42768 + (471011*s[26])/5346 - s[32] + (5*s[33])/4 + 
       (5*s[36])/4 - (11*s[37])/8 + 7*s[38] - (113*s[39])/8 + (103*s[40])/8 - 
       (101*s[41])/8 + (57*s[42])/4 + (1637*s[43])/88 - (2649*s[44])/176 + 
       (755*s[45])/44 - (11985*s[46])/88 - (1907*s[47])/528 + 
       (7003*s[48])/528 - (48817*s[49])/528 + (2727*s[50])/22 + 
       (5033*s[51])/528 + (1193*s[52])/528 - (23153*s[53])/264 - 
       (1105*s[54])/44 - (299473*s[55])/528 - (43807*s[56])/528 - 
       (24757*s[57])/198 - (640163*s[58])/4752 + (870509*s[59])/4752 + 
       (4233931*s[60])/3168 - (1861391*s[61])/42768 - (5*s[73])/4 - 
       (5*s[77])/4) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      ((3*s[2])/2 - 8*s[3] - (123*s[4])/8 + (63*s[5])/8 + (17*s[6])/4 - 
       (995*s[7])/48 + (77*s[8])/18 + (191*s[9])/72 + (583*s[10])/72 + 
       (1595*s[11])/48 + (139*s[12])/3 + (543*s[13])/16 - (2617*s[14])/48 + 
       (1753*s[15])/48 + (369*s[16])/8 + (1003*s[17])/48 - (541*s[18])/27 + 
       (10019*s[19])/216 - (1985*s[20])/216 - (15625*s[21])/432 - 
       (2233*s[22])/432 - (391*s[23])/8 - (1576*s[24])/27 + 
       (280523*s[25])/3888 - (983*s[26])/3888 - s[32]/4 + (3*s[37])/4 - 
       6*s[38] + 8*s[39] - (13*s[40])/2 + (13*s[41])/2 - (21*s[42])/4 - 
       10*s[43] + (31*s[44])/4 - (5*s[45])/2 + 37*s[46] + (10*s[47])/3 - 
       (35*s[48])/3 + (725*s[49])/12 - 50*s[50] - (53*s[51])/12 + s[52]/6 + 
       (45*s[53])/2 + (91*s[54])/2 + (1595*s[55])/12 - (329*s[56])/12 + 
       (1225*s[57])/18 + (967*s[58])/54 - (1028*s[59])/27 - 
       (37361*s[60])/72 - (4981*s[61])/972 - s[68] - s[69] - s[77]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*
      (11*s[3] + (71*s[4])/8 - (47*s[5])/8 + (35*s[6])/4 - (679*s[7])/16 - 
       (5*s[8])/3 + (1259*s[9])/24 + (667*s[10])/24 + (751*s[11])/16 + 
       44*s[12] + (369*s[13])/16 + (335*s[14])/16 + (973*s[15])/16 + 
       (563*s[16])/8 + (967*s[17])/16 - (181*s[18])/36 + (1715*s[19])/72 + 
       (7975*s[20])/72 + (5615*s[21])/144 - (4501*s[22])/144 + 
       (779*s[23])/8 - (2773*s[24])/36 + (56699*s[25])/1296 - 
       (32795*s[26])/1296 + s[32]/4 + (3*s[37])/4 - 6*s[38] + 8*s[39] - 
       (13*s[40])/2 + (13*s[41])/2 - (21*s[42])/4 - 10*s[43] + (31*s[44])/4 - 
       (5*s[45])/2 + 37*s[46] + (10*s[47])/3 - (35*s[48])/3 + 
       (725*s[49])/12 - 50*s[50] - (53*s[51])/12 + s[52]/6 + (45*s[53])/2 + 
       (91*s[54])/2 + (1595*s[55])/12 - (329*s[56])/12 + (1225*s[57])/18 + 
       (967*s[58])/54 - (1028*s[59])/27 - (37361*s[60])/72 - 
       (4981*s[61])/972 - s[68] - s[69] - s[77]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*J1[u, v, w]*((-3*s[2])/16 + 
       (17*s[3])/4 + s[4]/16 - (1007*s[5])/88 - (2757*s[6])/176 - 
       (153601*s[7])/1056 + (13331*s[8])/1584 + (4741*s[9])/36 + 
       (2929*s[10])/72 + (169121*s[11])/1056 + (23033*s[12])/132 + 
       (109987*s[13])/1056 + (43235*s[14])/1056 + (17051*s[15])/96 + 
       (123593*s[16])/528 + (60661*s[17])/352 + (14969*s[18])/432 + 
       (4225*s[19])/432 + (1482559*s[20])/4752 + (1192853*s[21])/9504 - 
       (760843*s[22])/9504 - (60037*s[23])/528 - (182405*s[24])/1188 + 
       (1013699*s[25])/5346 - (5068699*s[26])/42768 - s[32]/2 + s[33]/4 + 
       s[36]/4 - (7*s[37])/8 - 7*s[38] + (179*s[39])/8 - (193*s[40])/8 + 
       (137*s[41])/8 - 30*s[42] - (1763*s[43])/88 + (3435*s[44])/176 - 
       (487*s[45])/22 + (14313*s[46])/88 - (4219*s[47])/528 - 
       (1645*s[48])/528 + (45943*s[49])/528 - (5151*s[50])/44 - 
       (10595*s[51])/528 - (9755*s[52])/528 + (21431*s[53])/264 - 
       (83*s[54])/11 + (275575*s[55])/528 + (75601*s[56])/528 - 
       (143009*s[57])/792 + (1267877*s[58])/4752 - (1266779*s[59])/4752 - 
       (4172809*s[60])/3168 + (2999441*s[61])/42768 - s[73]/4 - s[77]/4) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*J1[v, w, u]*((-3*s[2])/16 - 
       (31*s[3])/4 - (275*s[4])/16 - (347*s[5])/88 - (3417*s[6])/176 - 
       (152413*s[7])/1056 + (22571*s[8])/1584 + (2003*s[9])/18 + 
       (2131*s[10])/72 + (174005*s[11])/1056 + (24749*s[12])/132 + 
       (123583*s[13])/1056 - (8113*s[14])/1056 + (18671*s[15])/96 + 
       (130193*s[16])/528 + (64401*s[17])/352 + (9755*s[18])/432 + 
       (13561*s[19])/432 + (1225819*s[20])/4752 + (826289*s[21])/9504 - 
       (670423*s[22])/9504 - (125311*s[23])/528 - (48431*s[24])/297 + 
       (4824653*s[25])/21384 - (4793149*s[26])/42768 + s[32]/4 + s[33]/4 + 
       s[36]/4 - (7*s[37])/8 - 7*s[38] + (179*s[39])/8 - (193*s[40])/8 + 
       (137*s[41])/8 - 30*s[42] - (1763*s[43])/88 + (3435*s[44])/176 - 
       (487*s[45])/22 + (14313*s[46])/88 - (4219*s[47])/528 - 
       (1645*s[48])/528 + (45943*s[49])/528 - (5151*s[50])/44 - 
       (10595*s[51])/528 - (9755*s[52])/528 + (21431*s[53])/264 - 
       (83*s[54])/11 + (275575*s[55])/528 + (75601*s[56])/528 - 
       (143009*s[57])/792 + (1267877*s[58])/4752 - (1266779*s[59])/4752 - 
       (4172809*s[60])/3168 + (2999441*s[61])/42768 - s[73]/4 - s[77]/4) + 
     C23[w, u, v]*(-s[6] - s[7] + (2*s[8])/3 + (2*s[9])/3 + s[10]/3 + s[11] + 
       s[12] + s[13] + s[14] + s[16] + s[18]/9 - (7*s[19])/9 + (13*s[20])/9 + 
       (4*s[21])/9 - (5*s[22])/9 + s[23] + (4*s[24])/9 + (227*s[25])/162 - 
       (137*s[26])/162 + s[77]) + C23[v, w, u]*(s[6] + s[7] - (2*s[8])/3 - 
       (2*s[9])/3 - s[10]/3 - s[11] - s[12] - s[13] - s[14] - s[16] - 
       s[18]/9 + (7*s[19])/9 - (13*s[20])/9 - (4*s[21])/9 + (5*s[22])/9 - 
       s[23] - (4*s[24])/9 - (227*s[25])/162 + (137*s[26])/162 + s[77]) + 
     H1[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*((3*s[2])/4 + 15*s[3] + 
       (183*s[4])/4 + (567*s[5])/22 + (3197*s[6])/44 + (152809*s[7])/264 - 
       (6497*s[8])/132 - (1417*s[9])/3 - (799*s[10])/6 - (57459*s[11])/88 - 
       (8059*s[12])/11 - (119051*s[13])/264 - (3001*s[14])/88 - 
       (18131*s[15])/24 - (127993*s[16])/132 - (189463*s[17])/264 - 
       (1277*s[18])/12 - (387*s[19])/4 - (145711*s[20])/132 - 
       (316159*s[21])/792 + (233521*s[22])/792 + (103553*s[23])/132 + 
       (63317*s[24])/99 - (761339*s[25])/891 + (1628333*s[26])/3564 - s[33] - 
       s[36] + (7*s[37])/2 + 28*s[38] - (179*s[39])/2 + (193*s[40])/2 - 
       (137*s[41])/2 + 120*s[42] + (1763*s[43])/22 - (3435*s[44])/44 + 
       (974*s[45])/11 - (14313*s[46])/22 + (4219*s[47])/132 + 
       (1645*s[48])/132 - (45943*s[49])/132 + (5151*s[50])/11 + 
       (10595*s[51])/132 + (9755*s[52])/132 - (21431*s[53])/66 + 
       (332*s[54])/11 - (275575*s[55])/132 - (75073*s[56])/132 + 
       (143009*s[57])/198 - (1267877*s[58])/1188 + (1266779*s[59])/1188 + 
       (4172809*s[60])/792 - (2999441*s[61])/10692 + s[73] + s[77]) + 
     H1[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*((3*s[2])/4 - s[3] + 
       (91*s[4])/4 + (787*s[5])/22 + (2977*s[6])/44 + (153205*s[7])/264 - 
       (16411*s[8])/396 - (4496*s[9])/9 - (2663*s[10])/18 - 
       (170749*s[11])/264 - (23605*s[12])/33 - (38173*s[13])/88 - 
       (26119*s[14])/264 - (17591*s[15])/24 - (41931*s[16])/44 - 
       (185723*s[17])/264 - (13231*s[18])/108 - (7337*s[19])/108 - 
       (1396979*s[20])/1188 - (1070665*s[21])/2376 + (730703*s[22])/2376 + 
       (27265*s[23])/44 + (186178*s[24])/297 - (4311415*s[25])/5346 + 
       (4976849*s[26])/10692 + s[32] - s[33] - s[36] + (7*s[37])/2 + 
       28*s[38] - (179*s[39])/2 + (193*s[40])/2 - (137*s[41])/2 + 120*s[42] + 
       (1763*s[43])/22 - (3435*s[44])/44 + (974*s[45])/11 - 
       (14313*s[46])/22 + (4219*s[47])/132 + (1645*s[48])/132 - 
       (45943*s[49])/132 + (5151*s[50])/11 + (10595*s[51])/132 + 
       (9755*s[52])/132 - (21431*s[53])/66 + (332*s[54])/11 - 
       (275575*s[55])/132 - (75073*s[56])/132 + (143009*s[57])/198 - 
       (1267877*s[58])/1188 + (1266779*s[59])/1188 + (4172809*s[60])/792 - 
       (2999441*s[61])/10692 + s[73] + s[77]) + HPL[{0, 0, 0, 1}, 1 - w]*
      Phi6[u, v, w]*(11*s[2] - 29*s[3] + 110*s[4] + (4119*s[5])/22 + 
       (6855*s[6])/22 + (286492*s[7])/99 - (118477*s[8])/594 - 
       (272359*s[9])/108 - (21494*s[10])/27 - (2486969*s[11])/792 - 
       (329717*s[12])/99 - (173071*s[13])/88 - (456089*s[14])/792 - 
       (47639*s[15])/12 - (1306289*s[16])/264 - (3193105*s[17])/792 - 
       (47060*s[18])/81 - (118369*s[19])/324 - (21314587*s[20])/3564 - 
       (16729883*s[21])/7128 + (11023291*s[22])/7128 + (266505*s[23])/88 + 
       (21982669*s[24])/7128 - (245306063*s[25])/64152 + 
       (145744985*s[26])/64152 + 6*s[31] + s[32]/2 + (23*s[33])/4 - 
       12*s[34] - 3*s[35] - (55*s[36])/3 + (25*s[37])/3 + (183*s[38])/2 - 
       (851*s[39])/2 + (2717*s[40])/6 - (1401*s[41])/4 + (7649*s[42])/12 + 
       (1805*s[43])/6 - (8681*s[44])/24 + (863*s[45])/3 - 2726*s[46] + 
       (14857*s[47])/72 - (7487*s[48])/72 - (107875*s[49])/72 + 
       (25291*s[50])/12 + (29987*s[51])/72 + (23861*s[52])/72 - 
       (17617*s[53])/12 - (27*s[54])/4 - (71125*s[55])/8 - 
       (164837*s[56])/72 + (396253*s[57])/108 - (2937709*s[58])/648 + 
       (3006487*s[59])/648 + (9265477*s[60])/432 - (823640*s[61])/729 - 
       (3*s[65])/2 - 3*s[66] + 6*s[67] - s[68] + 10*s[69] + s[70] + 
       (3*s[71])/2 + 6*s[72] - 4*s[73] - (9*s[74])/2 + (9*s[75])/2 - 
       2*s[77] + 12*s[78] + 14*s[79] - (22*s[80])/3) + 
     HPL[{0, 0, 0, 1}, 1 - v]*Phi6[u, v, w]*((-5*s[2])/2 + 27*s[3] + 
       (937*s[4])/4 + (259*s[5])/22 + (8213*s[6])/44 + (514555*s[7])/264 - 
       (58679*s[8])/198 - (27049*s[9])/18 - (3238*s[10])/9 - 
       (294809*s[11])/132 - (352909*s[12])/132 - (35517*s[13])/22 + 
       (48139*s[14])/132 - (57197*s[15])/24 - (284931*s[16])/88 - 
       (274345*s[17])/132 - (32503*s[18])/108 - (37025*s[19])/108 - 
       (3889139*s[20])/1188 - (287774*s[21])/297 + (589079*s[22])/594 + 
       (321841*s[23])/88 + (4648547*s[24])/2376 - (8414174*s[25])/2673 + 
       (15319313*s[26])/10692 - 5*s[29] + 3*s[30] - 5*s[31] + s[32]/2 + 
       s[33]/2 + s[34] - 3*s[35] - (55*s[36])/3 + (25*s[37])/3 + 
       (183*s[38])/2 - (851*s[39])/2 + (2717*s[40])/6 - (1401*s[41])/4 + 
       (7649*s[42])/12 + (1805*s[43])/6 - (8681*s[44])/24 + (863*s[45])/3 - 
       2726*s[46] + (14857*s[47])/72 - (7487*s[48])/72 - (107875*s[49])/72 + 
       (25291*s[50])/12 + (29987*s[51])/72 + (23861*s[52])/72 - 
       (17617*s[53])/12 - (27*s[54])/4 - (71125*s[55])/8 - 
       (164837*s[56])/72 + (396253*s[57])/108 - (2937709*s[58])/648 + 
       (3006487*s[59])/648 + (9265477*s[60])/432 - (823640*s[61])/729 - 
       (3*s[65])/2 - 3*s[66] + 6*s[67] - s[68] + 10*s[69] + s[70] + 
       (3*s[71])/2 + 6*s[72] - 4*s[73] - (9*s[74])/2 + (9*s[75])/2 - 
       2*s[77] + 12*s[78] + 14*s[79] - (22*s[80])/3) + 
     F1[v, w, u]*HPL[{0, 0, 1}, 1 - v]*(-s[2]/2 - 9*s[3] - (113*s[4])/4 + 
       (197*s[5])/11 + (225*s[6])/44 + (5831*s[7])/264 + (12020*s[8])/297 - 
       (1937*s[9])/27 - (1769*s[10])/54 - (4589*s[11])/396 + 
       (10853*s[12])/396 + (514*s[13])/99 - (61493*s[14])/396 - 
       (3071*s[15])/72 - (14119*s[16])/792 - (27143*s[17])/396 - 
       (4717*s[18])/324 + (6415*s[19])/324 - (725471*s[20])/3564 - 
       (211051*s[21])/1782 + (53255*s[22])/1782 - (278287*s[23])/792 + 
       (546005*s[24])/7128 + (1855597*s[25])/32076 + (559087*s[26])/16038 + 
       3*s[29] - s[30] + 3*s[31] - s[32]/2 + s[33]/2 - s[34] + s[35] + 
       (13*s[36])/3 + (14*s[37])/3 - s[38]/2 + 27*s[39] - (55*s[40])/3 + 
       (65*s[41])/4 - (557*s[42])/12 - s[43]/3 + (341*s[44])/24 - 
       (43*s[45])/6 + 150*s[46] - (1945*s[47])/72 + (3011*s[48])/72 + 
       (4675*s[49])/72 - (1525*s[50])/12 - (1835*s[51])/72 - (845*s[52])/72 + 
       (1375*s[53])/12 + (141*s[54])/4 + (4617*s[55])/8 + (7829*s[56])/72 - 
       (16825*s[57])/108 + (145669*s[58])/648 - (172435*s[59])/648 - 
       (386593*s[60])/432 + (56315*s[61])/729 + s[65]/2 + s[66] - 2*s[67] + 
       s[68] - 4*s[69] - s[70] - s[71]/2 - 2*s[72] + (3*s[74])/2 - 
       (3*s[75])/2 - 2*s[76] - 2*s[77] - 4*s[78] + 14*s[79] - (8*s[80])/3) + 
     F1[w, u, v]*HPL[{0, 0, 1}, 1 - w]*(-4*s[2] + 11*s[3] + 14*s[4] - 
       (889*s[5])/22 - (635*s[6])/22 - (111745*s[7])/396 + (158*s[8])/33 + 
       (1063*s[9])/4 + (320*s[10])/3 + (73463*s[11])/264 + (5213*s[12])/22 + 
       (85879*s[13])/792 + (42803*s[14])/264 + (8495*s[15])/18 + 
       (421141*s[16])/792 + (447041*s[17])/792 + (2207*s[18])/27 + 
       (2341*s[19])/108 + (844147*s[20])/1188 + (799285*s[21])/2376 - 
       (120079*s[22])/792 - (102071*s[23])/792 - (76025*s[24])/264 + 
       (5587339*s[25])/21384 - (4945693*s[26])/21384 - 2*s[31] - 
       (3*s[32])/2 - (13*s[33])/4 + 4*s[34] + s[35] + (13*s[36])/3 + 
       (14*s[37])/3 - s[38]/2 + 27*s[39] - (55*s[40])/3 + (65*s[41])/4 - 
       (557*s[42])/12 - s[43]/3 + (341*s[44])/24 - (43*s[45])/6 + 150*s[46] - 
       (1945*s[47])/72 + (3011*s[48])/72 + (4675*s[49])/72 - 
       (1525*s[50])/12 - (1835*s[51])/72 - (845*s[52])/72 + (1375*s[53])/12 + 
       (141*s[54])/4 + (4617*s[55])/8 + (7829*s[56])/72 - (16825*s[57])/108 + 
       (145669*s[58])/648 - (172435*s[59])/648 - (386593*s[60])/432 + 
       (56315*s[61])/729 + s[65]/2 + s[66] - 2*s[67] + s[68] - 4*s[69] - 
       s[70] - s[71]/2 - 2*s[72] + (3*s[74])/2 - (3*s[75])/2 - 2*s[76] - 
       2*s[77] - 4*s[78] + 14*s[79] - (8*s[80])/3) + 
     C27[v, w, u]*(12*s[2] - (29*s[3])/2 - 46*s[4] + (7819*s[5])/44 + 
       (8533*s[6])/44 + (402595*s[7])/264 + (17345*s[8])/396 - 
       (26113*s[9])/18 - (21439*s[10])/36 - (410605*s[11])/264 - 
       (180859*s[12])/132 - (70955*s[13])/88 - (235225*s[14])/264 - 
       (19251*s[15])/8 - (60303*s[16])/22 - (728675*s[17])/264 - 
       (9514*s[18])/27 - (19781*s[19])/108 - (4422911*s[20])/1188 - 
       (4032937*s[21])/2376 + (1993463*s[22])/2376 + (5669*s[23])/22 + 
       (1071707*s[24])/594 - (16803179*s[25])/10692 + 
       (13485707*s[26])/10692 + 4*s[29] - s[30] + 10*s[31] - s[32] + 
       (15*s[33])/4 - 13*s[34] - s[36] + (13*s[37])/6 + 18*s[38] - 
       (237*s[39])/4 + (265*s[40])/4 - (209*s[41])/4 + (325*s[42])/4 + 
       (2523*s[43])/44 - (5009*s[44])/88 + (6593*s[45])/132 - 
       (27823*s[46])/66 + (1165*s[47])/88 + (1231*s[48])/88 - 
       (22943*s[49])/88 + (3742*s[50])/11 + (14453*s[51])/264 + 
       (3865*s[52])/88 - (44237*s[53])/198 - (1415*s[54])/33 - 
       (125207*s[55])/88 - (253993*s[56])/792 + (206455*s[57])/594 - 
       (4512389*s[58])/7128 + (4827965*s[59])/7128 + (5896301*s[60])/1584 - 
       (2289017*s[61])/16038 + s[64] - 2*s[68] + 2*s[76] + 8*s[79] - 
       (5*s[80])/3) + C27[w, u, v]*(-12*s[2] + 12*s[3] + (393*s[4])/4 - 
       (1673*s[5])/11 - (5935*s[6])/44 - (25513*s[7])/33 - 
       (124169*s[8])/1188 + (86681*s[9])/108 + (21311*s[10])/54 + 
       (141679*s[11])/198 + (86579*s[12])/198 + (46579*s[13])/198 + 
       (339083*s[14])/396 + (50371*s[15])/36 + (585263*s[16])/396 + 
       (720263*s[17])/396 + (82411*s[18])/324 + (3571*s[19])/162 + 
       (2011397*s[20])/891 + (4273655*s[21])/3564 - (1536571*s[22])/3564 + 
       (210629*s[23])/396 - (3244759*s[24])/3564 + (31024051*s[25])/64152 - 
       (45166579*s[26])/64152 + s[27] - 2*s[29] + 3*s[30] - 8*s[31] - s[32] - 
       (59*s[33])/4 + 13*s[34] - s[36] + (13*s[37])/6 + 18*s[38] - 
       (237*s[39])/4 + (265*s[40])/4 - (209*s[41])/4 + (325*s[42])/4 + 
       (2523*s[43])/44 - (5009*s[44])/88 + (6593*s[45])/132 - 
       (27823*s[46])/66 + (1165*s[47])/88 + (1231*s[48])/88 - 
       (22943*s[49])/88 + (3742*s[50])/11 + (14453*s[51])/264 + 
       (3865*s[52])/88 - (44237*s[53])/198 - (1415*s[54])/33 - 
       (125207*s[55])/88 - (253993*s[56])/792 + (206455*s[57])/594 - 
       (4512389*s[58])/7128 + (4827965*s[59])/7128 + (5896301*s[60])/1584 - 
       (2289017*s[61])/16038 + s[64] - 2*s[68] + 2*s[76] + 8*s[79] - 
       (5*s[80])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      Phi6[u, v, w]*((7*s[2])/2 + 2*s[3] - (41*s[4])/4 + (2811*s[5])/44 + 
       (1649*s[6])/22 + (148867*s[7])/264 + (15935*s[8])/1188 - 
       (14072*s[9])/27 - (23821*s[10])/108 - (457033*s[11])/792 - 
       (100889*s[12])/198 - (236431*s[13])/792 - (245995*s[14])/792 - 
       (64523*s[15])/72 - (401435*s[16])/396 - (811243*s[17])/792 - 
       (44431*s[18])/324 - (6353*s[19])/81 - (1205060*s[20])/891 - 
       (4372921*s[21])/7128 + (2144459*s[22])/7128 + (13597*s[23])/99 + 
       (2369869*s[24])/3564 - (4757042*s[25])/8019 + (7483315*s[26])/16038 + 
       s[29] - s[30] + 3*s[31] + (3*s[32])/2 + (3*s[33])/4 - 4*s[34] - 
       s[36] - (7*s[37])/6 + 12*s[38] - (57*s[39])/2 + (55*s[40])/2 - 
       (47*s[41])/2 + 33*s[42] + (713*s[43])/22 - (1197*s[44])/44 + 
       (1033*s[45])/33 - (16199*s[46])/66 + (161*s[47])/132 + 
       (1943*s[48])/132 - (20261*s[49])/132 + (2165*s[50])/11 + 
       (2965*s[51])/132 + (2161*s[52])/132 - (13439*s[53])/99 - 
       (1159*s[54])/33 - (38393*s[55])/44 - (65905*s[56])/396 - 
       (6257*s[57])/297 - (1095797*s[58])/3564 + (1222535*s[59])/3564 + 
       (1729231*s[60])/792 - (2927849*s[61])/32076 + s[66] + s[68] - s[69] + 
       2*s[70] - 2*s[77] - 2*s[79] + (2*s[80])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      (-2*s[2] - 2*s[3] + (135*s[4])/4 - (169*s[5])/4 - 37*s[6] - 
       (3115*s[7])/24 - (1477*s[8])/36 + (1379*s[9])/9 + (3007*s[10])/36 + 
       (2303*s[11])/24 + s[12]/6 - (191*s[13])/24 + (6209*s[14])/24 + 
       (2209*s[15])/8 + (3167*s[16])/12 + (3303*s[17])/8 + (8485*s[18])/108 - 
       (1865*s[19])/54 + (13093*s[20])/27 + (66023*s[21])/216 - 
       (15673*s[22])/216 + (1075*s[23])/6 - (12785*s[24])/108 - 
       (3107*s[25])/243 - (34486*s[26])/243 - 2*s[29] + s[30] - 3*s[31] - 
       s[32]/2 - (9*s[33])/4 + 4*s[34] - s[36] - (7*s[37])/6 + 12*s[38] - 
       (57*s[39])/2 + (55*s[40])/2 - (47*s[41])/2 + 33*s[42] + 
       (713*s[43])/22 - (1197*s[44])/44 + (1033*s[45])/33 - 
       (16199*s[46])/66 + (161*s[47])/132 + (1943*s[48])/132 - 
       (20261*s[49])/132 + (2165*s[50])/11 + (2965*s[51])/132 + 
       (2161*s[52])/132 - (13439*s[53])/99 - (1159*s[54])/33 - 
       (38393*s[55])/44 - (65905*s[56])/396 - (6257*s[57])/297 - 
       (1095797*s[58])/3564 + (1222535*s[59])/3564 + (1729231*s[60])/792 - 
       (2927849*s[61])/32076 + s[66] + s[68] - s[69] + 2*s[70] - 2*s[77] - 
       2*s[79] + (2*s[80])/3) + HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      Phi6[u, v, w]*((-45*s[3])/2 - (179*s[4])/4 + (189*s[5])/22 - 
       (525*s[6])/22 - (153497*s[7])/792 + (7714*s[8])/297 + 
       (13673*s[9])/108 + (2015*s[10])/54 + (88673*s[11])/396 + 
       (212693*s[12])/792 + (125501*s[13])/792 - (39209*s[14])/792 + 
       (19891*s[15])/72 + (145555*s[16])/396 + (11085*s[17])/44 + 
       (1441*s[18])/81 + (21311*s[19])/324 + (1183181*s[20])/3564 + 
       (311287*s[21])/7128 - (646607*s[22])/7128 - (350407*s[23])/792 - 
       (1628735*s[24])/7128 + (22306699*s[25])/64152 - 
       (7390585*s[26])/64152 - (3*s[33])/2 - (11*s[36])/3 - (35*s[37])/6 + 
       9*s[38] + (67*s[39])/4 - (337*s[40])/12 + (77*s[41])/4 - 
       (485*s[42])/12 - (83*s[43])/132 + (3545*s[44])/132 + (401*s[45])/33 + 
       (3019*s[46])/44 - (1855*s[47])/99 + (3701*s[48])/396 + 
       (3739*s[49])/99 - (3691*s[50])/66 - (9671*s[51])/396 - 
       (467*s[52])/99 + (4369*s[53])/132 - (525*s[54])/11 + (5713*s[55])/44 + 
       (9344*s[56])/99 - (391409*s[57])/1188 + (543307*s[58])/3564 - 
       (416281*s[59])/3564 - (512123*s[60])/1188 + (238396*s[61])/8019 - 
       s[71] - 18*s[79] + (46*s[80])/3 - 54*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*Phi6[u, v, w]*
      (30*s[3] + (51*s[4])/2 - (61*s[5])/22 + (389*s[6])/44 + 
       (6997*s[7])/88 + (3874*s[8])/297 - (2615*s[9])/54 - (3923*s[10])/108 - 
       (8323*s[11])/99 - (53341*s[12])/792 - (36911*s[13])/792 + 
       (18649*s[14])/792 - (13519*s[15])/72 - (17770*s[16])/99 - 
       (18226*s[17])/99 - (787*s[18])/162 - (21373*s[19])/324 - 
       (142639*s[20])/891 - (299183*s[21])/7128 + (184573*s[22])/7128 + 
       (70681*s[23])/792 + (936259*s[24])/7128 - (8063585*s[25])/64152 + 
       (3692789*s[26])/64152 + (3*s[33])/2 - 2*s[34] - (11*s[36])/3 - 
       (35*s[37])/6 + 9*s[38] + (67*s[39])/4 - (337*s[40])/12 + 
       (77*s[41])/4 - (485*s[42])/12 - (83*s[43])/132 + (3545*s[44])/132 + 
       (401*s[45])/33 + (3019*s[46])/44 - (1855*s[47])/99 + 
       (3701*s[48])/396 + (3739*s[49])/99 - (3691*s[50])/66 - 
       (9671*s[51])/396 - (467*s[52])/99 + (4369*s[53])/132 - 
       (525*s[54])/11 + (5713*s[55])/44 + (9344*s[56])/99 - 
       (391409*s[57])/1188 + (543307*s[58])/3564 - (416281*s[59])/3564 - 
       (512123*s[60])/1188 + (238396*s[61])/8019 - s[71] - 18*s[79] + 
       (46*s[80])/3 - 54*s[82]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      Phi6[u, v, w]*(-s[2]/4 - 13*s[3] - (65*s[4])/2 - (1509*s[5])/44 - 
       (7805*s[6])/88 - (57451*s[7])/88 + (35251*s[8])/792 + 
       (19633*s[9])/36 + (13069*s[10])/72 + (377185*s[11])/528 + 
       (404405*s[12])/528 + (122855*s[13])/264 + (35507*s[14])/264 + 
       (7045*s[15])/8 + (294623*s[16])/264 + (474151*s[17])/528 + 
       (14405*s[18])/108 + (5117*s[19])/54 + (3168125*s[20])/2376 + 
       (149749*s[21])/297 - (794047*s[22])/2376 - (346613*s[23])/528 - 
       (3444383*s[24])/4752 + (38261719*s[25])/42768 - 
       (22201075*s[26])/42768 - s[32]/4 - s[33] - s[36] - (7*s[37])/4 - 
       (71*s[38])/4 + (271*s[39])/4 - (311*s[40])/4 + (449*s[41])/8 - 
       (737*s[42])/8 - (3205*s[43])/44 + (6439*s[44])/88 - (4691*s[45])/44 + 
       (30403*s[46])/44 - (1159*s[47])/132 - (5449*s[48])/132 + 
       (42769*s[49])/132 - (44995*s[50])/88 - (15553*s[51])/264 - 
       (13861*s[52])/264 + (48107*s[53])/132 - (2515*s[54])/88 + 
       (26490*s[55])/11 + (28261*s[56])/44 - (27565*s[57])/88 + 
       (803263*s[58])/792 - (404627*s[59])/396 - (2266925*s[60])/396 + 
       (291793*s[61])/891 + (3*s[68])/2 - s[69]/2 - s[73] + s[76] + s[77]/2 - 
       36*s[82]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*
      (-s[2] - 5*s[3] - (173*s[4])/8 - (755*s[5])/22 - (3255*s[6])/44 - 
       (79003*s[7])/132 + (31751*s[8])/792 + (4586*s[9])/9 + 
       (12677*s[10])/72 + (344573*s[11])/528 + (367825*s[12])/528 + 
       (109367*s[13])/264 + (37459*s[14])/264 + (4847*s[15])/6 + 
       (269867*s[16])/264 + (145165*s[17])/176 + (26549*s[18])/216 + 
       (18259*s[19])/216 + (1490855*s[20])/1188 + (1149187*s[21])/2376 - 
       (371215*s[22])/1188 - (287429*s[23])/528 - (3196513*s[24])/4752 + 
       (34239773*s[25])/42768 - (20371349*s[26])/42768 + s[32]/2 - s[33] - 
       s[36] - (7*s[37])/4 - (71*s[38])/4 + (271*s[39])/4 - (311*s[40])/4 + 
       (449*s[41])/8 - (737*s[42])/8 - (3205*s[43])/44 + (6439*s[44])/88 - 
       (4691*s[45])/44 + (30403*s[46])/44 - (1159*s[47])/132 - 
       (5449*s[48])/132 + (42769*s[49])/132 - (44995*s[50])/88 - 
       (15553*s[51])/264 - (13861*s[52])/264 + (48107*s[53])/132 - 
       (2515*s[54])/88 + (26490*s[55])/11 + (28261*s[56])/44 - 
       (27565*s[57])/88 + (803263*s[58])/792 - (404627*s[59])/396 - 
       (2266925*s[60])/396 + (291793*s[61])/891 + (3*s[68])/2 - s[69]/2 - 
       s[73] + s[76] + s[77]/2 - 36*s[82]) + 
     F1[u, v, w]*HPL[{0, 1, 1}, 1 - v]*(6*s[2] + 32*s[3] - 26*s[4] - 
       (697*s[5])/11 - (325*s[6])/11 - (26284*s[7])/33 + (2206*s[8])/33 + 
       (4387*s[9])/6 + (953*s[10])/6 + (20605*s[11])/22 + (24589*s[12])/22 + 
       (22007*s[13])/33 - (235*s[14])/11 + (2663*s[15])/3 + 
       (39467*s[16])/33 + (21844*s[17])/33 + (568*s[18])/3 + (133*s[19])/2 + 
       (100723*s[20])/66 + (122495*s[21])/198 - (88877*s[22])/198 - 
       (38716*s[23])/33 - (79909*s[24])/99 + (1043803*s[25])/891 - 
       (588160*s[26])/891 - 2*s[32] - 6*s[37] - 98*s[38] + 270*s[39] - 
       282*s[40] + 210*s[41] - 343*s[42] - (2757*s[43])/11 + 
       (5287*s[44])/22 - (2657*s[45])/11 + (20626*s[46])/11 - 
       (4711*s[47])/66 - (5437*s[48])/66 + (77383*s[49])/66 - 
       (15898*s[50])/11 - (15115*s[51])/66 - (13067*s[52])/66 + 
       (31027*s[53])/33 + (1164*s[54])/11 + (398911*s[55])/66 + 
       (31093*s[56])/22 - (19069*s[57])/11 + (579701*s[58])/198 - 
       (592421*s[59])/198 - (6370789*s[60])/396 + (1287175*s[61])/1782 - 
       18*s[82]) + F1[u, v, w]*HPL[{0, 1, 1}, 1 - w]*
      (-6*s[2] - 56*s[3] - 182*s[4] - (915*s[5])/11 - (3149*s[6])/11 - 
       (167051*s[7])/66 + (6196*s[8])/33 + (12397*s[9])/6 + (4391*s[10])/6 + 
       (31213*s[11])/11 + (68433*s[12])/22 + (127387*s[13])/66 + 
       (4957*s[14])/22 + (20479*s[15])/6 + (144083*s[16])/33 + 
       (224981*s[17])/66 + (1015*s[18])/3 + (1251*s[19])/2 + 
       (322771*s[20])/66 + (163501*s[21])/99 - (128383*s[22])/99 - 
       (77647*s[23])/33 - (306919*s[24])/99 + (3302674*s[25])/891 - 
       (1697317*s[26])/891 + 2*s[32] - 6*s[37] - 98*s[38] + 270*s[39] - 
       282*s[40] + 210*s[41] - 343*s[42] - (2757*s[43])/11 + 
       (5287*s[44])/22 - (2657*s[45])/11 + (20626*s[46])/11 - 
       (4711*s[47])/66 - (5437*s[48])/66 + (77383*s[49])/66 - 
       (15898*s[50])/11 - (15115*s[51])/66 - (13067*s[52])/66 + 
       (31027*s[53])/33 + (1164*s[54])/11 + (398911*s[55])/66 + 
       (31093*s[56])/22 - (19069*s[57])/11 + (579701*s[58])/198 - 
       (592421*s[59])/198 - (6370789*s[60])/396 + (1287175*s[61])/1782 - 
       18*s[82]) + H1[v, w, u]*HPL[{0, 1}, 1 - v]*((15*s[2])/4 + 4*s[3] + 
       (337*s[4])/8 + (1229*s[5])/88 + (2195*s[6])/44 + (254329*s[7])/528 - 
       (837*s[8])/22 - (3159*s[9])/8 - (1019*s[10])/8 - (97431*s[11])/176 - 
       (27183*s[12])/44 - (207983*s[13])/528 + (2821*s[14])/176 - 
       (10327*s[15])/16 - (214795*s[16])/264 - (314317*s[17])/528 - 
       (3301*s[18])/72 - (9947*s[19])/72 - (690293*s[20])/792 - 
       (441791*s[21])/1584 + (43893*s[22])/176 + (16906*s[23])/33 + 
       (79781*s[24])/132 - (10637723*s[25])/14256 + (5123639*s[26])/14256 + 
       s[32]/2 - s[33] - s[36] + s[37]/4 + 31*s[38] - 82*s[39] + 
       (165*s[40])/2 - 66*s[41] + (399*s[42])/4 + (908*s[43])/11 - 
       (3103*s[44])/44 + (684*s[45])/11 - (12097*s[46])/22 + 
       (1057*s[47])/66 + (1981*s[48])/66 - (49253*s[49])/132 + 
       (9605*s[50])/22 + (9259*s[51])/132 + (1813*s[52])/33 - 
       (6307*s[53])/22 - (1271*s[54])/22 - (78533*s[55])/44 - 
       (47941*s[56])/132 + (76145*s[57])/198 - (239003*s[58])/297 + 
       (509173*s[59])/594 + (3821159*s[60])/792 - (2027045*s[61])/10692 + 
       s[68] + s[69] + 2*s[76] + 4*s[77] - 15*s[82]) + 
     H1[u, v, w]*HPL[{0, 1}, 1 - w]*((-3*s[2])/4 - 7*s[3] + (191*s[4])/8 + 
       (2263*s[5])/88 + (1513*s[6])/44 + (256639*s[7])/528 - (3244*s[8])/99 - 
       (30193*s[9])/72 - (10253*s[10])/72 - (286859*s[11])/528 - 
       (78997*s[12])/132 - (187633*s[13])/528 - (24251*s[14])/528 - 
       (10225*s[15])/16 - (212837*s[16])/264 - (106393*s[17])/176 - 
       (16295*s[18])/216 - (23455*s[19])/216 - (2313913*s[20])/2376 - 
       (1666967*s[21])/4752 + (1229353*s[22])/4752 + (14684*s[23])/33 + 
       (343499*s[24])/594 - (29226419*s[25])/42768 + (15770987*s[26])/42768 + 
       s[32] - s[33] - s[36] + s[37]/4 + 31*s[38] - 82*s[39] + 
       (165*s[40])/2 - 66*s[41] + (399*s[42])/4 + (908*s[43])/11 - 
       (3103*s[44])/44 + (684*s[45])/11 - (12097*s[46])/22 + 
       (1057*s[47])/66 + (1981*s[48])/66 - (49253*s[49])/132 + 
       (9605*s[50])/22 + (9259*s[51])/132 + (1813*s[52])/33 - 
       (6307*s[53])/22 - (1271*s[54])/22 - (78533*s[55])/44 - 
       (47941*s[56])/132 + (76145*s[57])/198 - (239003*s[58])/297 + 
       (509173*s[59])/594 + (3821159*s[60])/792 - (2027045*s[61])/10692 + 
       s[68] + s[69] + 2*s[76] + 4*s[77] - 15*s[82]) + 
     HPL[{0, 1}, 1 - w]*K1[u, v, w]*(2*s[2] + 4*s[3] - (33*s[4])/2 + 
       (57*s[5])/2 + (579*s[7])/4 + (5125*s[8])/108 - (16277*s[9])/108 - 
       (4051*s[10])/27 - (1817*s[11])/18 + (1357*s[12])/36 + 
       (1487*s[13])/36 - (3353*s[14])/18 - (7973*s[15])/18 - (3214*s[16])/9 - 
       (21169*s[17])/36 - (1273*s[18])/324 - (38591*s[19])/324 - 
       (156013*s[20])/324 - (74461*s[21])/324 + (23417*s[22])/324 - 
       (4123*s[23])/9 + (47629*s[24])/162 - (137369*s[25])/5832 + 
       (531749*s[26])/5832 + s[29] - s[30] + 3*s[31] + 2*s[32] + 
       (3*s[33])/4 - 4*s[34] - s[36] - (29*s[37])/3 - 4*s[38] + 40*s[39] - 
       54*s[40] + 27*s[41] - 71*s[42] - (197*s[43])/11 + (357*s[44])/11 - 
       (956*s[45])/33 + (5993*s[46])/33 - (1297*s[47])/33 + (551*s[48])/33 + 
       (1108*s[49])/33 - (383*s[50])/11 - (1448*s[51])/33 - (1907*s[52])/33 + 
       (2659*s[53])/99 - (5551*s[54])/33 + (4605*s[55])/22 + 
       (32759*s[56])/99 - (357458*s[57])/297 + (557290*s[58])/891 - 
       (436465*s[59])/891 - (145733*s[60])/198 + (4112857*s[61])/32076 + 
       s[66] + 2*s[68] + 2*s[70] + 2*s[76] + s[77] - 2*s[79] + (2*s[80])/3 - 
       12*s[82]) + HPL[{0, 1}, 1 - v]*K1[v, w, u]*(-s[2]/2 - 32*s[3] - 
       (21*s[4])/2 - (1059*s[5])/22 - (1281*s[6])/11 - (60623*s[7])/132 - 
       (875*s[8])/396 + (14165*s[9])/36 + (1949*s[10])/18 + 
       (32917*s[11])/66 + (66691*s[12])/132 + (14375*s[13])/44 + 
       (7910*s[14])/33 + (1183*s[15])/2 + (8573*s[16])/11 + 
       (89779*s[17])/132 + (19309*s[18])/108 - (4429*s[19])/108 + 
       (1244183*s[20])/1188 + (616523*s[21])/1188 - (272983*s[22])/1188 - 
       (6572*s[23])/11 - (236921*s[24])/594 + (11569939*s[25])/21384 - 
       (9290851*s[26])/21384 - 2*s[29] + s[30] - 3*s[31] - s[32]/2 - 
       (9*s[33])/4 + 4*s[34] - s[36] - (29*s[37])/3 - 4*s[38] + 40*s[39] - 
       54*s[40] + 27*s[41] - 71*s[42] - (197*s[43])/11 + (357*s[44])/11 - 
       (956*s[45])/33 + (5993*s[46])/33 - (1297*s[47])/33 + (551*s[48])/33 + 
       (1108*s[49])/33 - (383*s[50])/11 - (1448*s[51])/33 - (1907*s[52])/33 + 
       (2659*s[53])/99 - (5551*s[54])/33 + (4605*s[55])/22 + 
       (32759*s[56])/99 - (357458*s[57])/297 + (557290*s[58])/891 - 
       (436465*s[59])/891 - (145733*s[60])/198 + (4112857*s[61])/32076 + 
       s[66] + 2*s[68] + 2*s[70] + 2*s[76] + s[77] - 2*s[79] + (2*s[80])/3 - 
       12*s[82]) + F1[v, w, u]*HPL[{0, 0, 1}, 1 - w]*
      ((3*s[2])/2 - 2*s[3] - (771*s[4])/4 - (2885*s[5])/44 - (5219*s[6])/22 - 
       (1782787*s[7])/792 + (81439*s[8])/297 + (198563*s[9])/108 + 
       (49333*s[10])/108 + (2039287*s[11])/792 + (1193629*s[12])/396 + 
       (485941*s[13])/264 - (94115*s[14])/792 + (65693*s[15])/24 + 
       (243761*s[16])/66 + (1940435*s[17])/792 + (121597*s[18])/324 + 
       (110885*s[19])/324 + (14486591*s[20])/3564 + (9715801*s[21])/7128 - 
       (8398499*s[22])/7128 - (226703*s[23])/66 - (2100367*s[24])/891 + 
       (222516145*s[25])/64152 - (110806165*s[26])/64152 + 4*s[29] - 
       2*s[30] + 3*s[31] + s[32] + (7*s[33])/2 - s[34] + 2*s[35] + 
       (41*s[36])/3 - 16*s[37] - 112*s[38] + (897*s[39])/2 - (2887*s[40])/6 + 
       362*s[41] - (1948*s[42])/3 - (22637*s[43])/66 + (12724*s[44])/33 - 
       (3688*s[45])/11 + (191381*s[46])/66 - (39841*s[47])/198 + 
       (4450*s[48])/99 + (320779*s[49])/198 - (142811*s[50])/66 - 
       (84575*s[51])/198 - (71075*s[52])/198 + (294931*s[53])/198 - 
       (3493*s[54])/66 + (606725*s[55])/66 + (487381*s[56])/198 - 
       (2408095*s[57])/594 + (4363573*s[58])/891 - (4393183*s[59])/891 - 
       (27234025*s[60])/1188 + (38679181*s[61])/32076 + s[65] + 3*s[66] - 
       4*s[67] - s[68] - 7*s[69] - s[70] - s[71] - 4*s[72] + 4*s[73] + 
       3*s[74] - 3*s[75] + 3*s[76] + 4*s[77] - 10*s[78] - 12*s[79] + 
       5*s[80] - 12*s[82]) + F1[w, u, v]*HPL[{0, 0, 1}, 1 - v]*
      (-7*s[2] - 30*s[3] - (661*s[4])/4 - (6983*s[5])/44 - (7539*s[6])/22 - 
       (761063*s[7])/264 + (125909*s[8])/594 + (263105*s[9])/108 + 
       (79903*s[10])/108 + (2522401*s[11])/792 + (1372681*s[12])/396 + 
       (1655677*s[13])/792 + (322831*s[14])/792 + (275501*s[15])/72 + 
       (483581*s[16])/99 + (3015601*s[17])/792 + (192187*s[18])/324 + 
       (123095*s[19])/324 + (20546135*s[20])/3564 + (15648907*s[21])/7128 - 
       (10744577*s[22])/7128 - (698063*s[23])/198 - (2718610*s[24])/891 + 
       (256406869*s[25])/64152 - (145712305*s[26])/64152 - s[29] - 5*s[31] - 
       s[32] - 4*s[33] + 9*s[34] + 2*s[35] + (41*s[36])/3 - 16*s[37] - 
       112*s[38] + (897*s[39])/2 - (2887*s[40])/6 + 362*s[41] - 
       (1948*s[42])/3 - (22637*s[43])/66 + (12724*s[44])/33 - 
       (3688*s[45])/11 + (191381*s[46])/66 - (39841*s[47])/198 + 
       (4450*s[48])/99 + (320779*s[49])/198 - (142811*s[50])/66 - 
       (84575*s[51])/198 - (71075*s[52])/198 + (294931*s[53])/198 - 
       (3493*s[54])/66 + (606725*s[55])/66 + (487381*s[56])/198 - 
       (2408095*s[57])/594 + (4363573*s[58])/891 - (4393183*s[59])/891 - 
       (27234025*s[60])/1188 + (38679181*s[61])/32076 + s[65] + 3*s[66] - 
       4*s[67] - s[68] - 7*s[69] - s[70] - s[71] - 4*s[72] + 4*s[73] + 
       3*s[74] - 3*s[75] + 3*s[76] + 4*s[77] - 10*s[78] - 12*s[79] + 
       5*s[80] - 12*s[82]) + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      Phi6[u, v, w]*(-18*s[3] - (57*s[4])/2 - (1431*s[5])/44 - 
       (1055*s[6])/11 - (142931*s[7])/264 + (18149*s[8])/396 + 
       (16027*s[9])/36 + (2305*s[10])/18 + (76393*s[11])/132 + 
       (162055*s[12])/264 + (32761*s[13])/88 + (37097*s[14])/264 + 
       (5897*s[15])/8 + (20311*s[16])/22 + (51235*s[17])/66 + 
       (6889*s[18])/54 + (2213*s[19])/54 + (1323829*s[20])/1188 + 
       (1019009*s[21])/2376 - (638809*s[22])/2376 - (59293*s[23])/88 - 
       (1296715*s[24])/2376 + (7745965*s[25])/10692 - (4652503*s[26])/10692 - 
       s[32] + s[37] - (11*s[38])/2 + (241*s[39])/4 - (317*s[40])/4 + 
       (119*s[41])/2 - 101*s[42] - (237*s[43])/4 + (523*s[44])/8 - 
       (311*s[45])/4 + (1087*s[46])/2 - (667*s[47])/24 - (145*s[48])/24 + 
       (5101*s[49])/24 - (1551*s[50])/4 - (1987*s[51])/24 - (1373*s[52])/24 + 
       (892*s[53])/3 - (435*s[54])/4 + (44821*s[55])/24 + (4497*s[56])/8 - 
       (5845*s[57])/12 + (20713*s[58])/24 - (20447*s[59])/24 - 
       (585397*s[60])/144 + (91009*s[61])/324 - 11*s[82]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*Phi6[u, v, w]*
      (-6*s[2] - 18*s[3] - 27*s[4] - (467*s[5])/22 - (3029*s[6])/44 - 
       (4990*s[7])/11 + (17293*s[8])/396 + (6589*s[9])/18 + (3877*s[10])/36 + 
       (126427*s[11])/264 + (136925*s[12])/264 + (19861*s[13])/66 + 
       (6541*s[14])/66 + (1811*s[15])/3 + (101093*s[16])/132 + 
       (165397*s[17])/264 + (6353*s[18])/54 + (710*s[19])/27 + 
       (1112033*s[20])/1188 + (417515*s[21])/1188 - (66211*s[22])/297 - 
       (166025*s[23])/264 - (1040675*s[24])/2376 + (12933907*s[25])/21384 - 
       (7679203*s[26])/21384 + (3*s[32])/2 + s[37] - (11*s[38])/2 + 
       (241*s[39])/4 - (317*s[40])/4 + (119*s[41])/2 - 101*s[42] - 
       (237*s[43])/4 + (523*s[44])/8 - (311*s[45])/4 + (1087*s[46])/2 - 
       (667*s[47])/24 - (145*s[48])/24 + (5101*s[49])/24 - (1551*s[50])/4 - 
       (1987*s[51])/24 - (1373*s[52])/24 + (892*s[53])/3 - (435*s[54])/4 + 
       (44821*s[55])/24 + (4497*s[56])/8 - (5845*s[57])/12 + 
       (20713*s[58])/24 - (20447*s[59])/24 - (585397*s[60])/144 + 
       (91009*s[61])/324 - 11*s[82]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      K1[v, w, u]*(3*s[2] - 20*s[3] - 55*s[4] - (795*s[5])/44 - 
       (2947*s[6])/44 - (52181*s[7])/88 + (4754*s[8])/99 + (17005*s[9])/36 + 
       (5585*s[10])/36 + (177935*s[11])/264 + (98999*s[12])/132 + 
       (123755*s[13])/264 + (125*s[14])/264 + (19291*s[15])/24 + 
       (134059*s[16])/132 + (202727*s[17])/264 + (8537*s[18])/108 + 
       (4147*s[19])/27 + (649469*s[20])/594 + (867719*s[21])/2376 - 
       (707593*s[22])/2376 - (48151*s[23])/66 - (422341*s[24])/594 + 
       (19319639*s[25])/21384 - (9663323*s[26])/21384 - s[37] - 32*s[38] + 
       (181*s[39])/2 - (189*s[40])/2 + 68*s[41] - 113*s[42] - 
       (1957*s[43])/22 + (943*s[44])/11 - (1943*s[45])/22 + (7520*s[46])/11 - 
       (2077*s[47])/132 - (4915*s[48])/132 + (55291*s[49])/132 - 
       (5807*s[50])/11 - (9353*s[51])/132 - (4063*s[52])/66 + 
       (11698*s[53])/33 + (973*s[54])/22 + (100789*s[55])/44 + 
       (69385*s[56])/132 - (174553*s[57])/396 + (1199405*s[58])/1188 - 
       (1257059*s[59])/1188 - (4672051*s[60])/792 + (1429561*s[61])/5346 - 
       9*s[82]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*K1[u, v, w]*
      (16*s[3] - 13*s[4] - (165*s[5])/4 - (199*s[6])/4 - (14893*s[7])/24 + 
       (331*s[8])/9 + (19801*s[9])/36 + (6803*s[10])/36 + (16507*s[11])/24 + 
       (2233*s[12])/3 + (3527*s[13])/8 + (2839*s[14])/24 + (6561*s[15])/8 + 
       (4171*s[16])/4 + (19319*s[17])/24 + (5605*s[18])/54 + 
       (3022*s[19])/27 + (69823*s[20])/54 + (105529*s[21])/216 - 
       (72923*s[22])/216 - 477*s[23] - (79393*s[24])/108 + 
       (1632709*s[25])/1944 - (940681*s[26])/1944 + s[32]/2 - s[37] - 
       32*s[38] + (181*s[39])/2 - (189*s[40])/2 + 68*s[41] - 113*s[42] - 
       (1957*s[43])/22 + (943*s[44])/11 - (1943*s[45])/22 + (7520*s[46])/11 - 
       (2077*s[47])/132 - (4915*s[48])/132 + (55291*s[49])/132 - 
       (5807*s[50])/11 - (9353*s[51])/132 - (4063*s[52])/66 + 
       (11698*s[53])/33 + (973*s[54])/22 + (100789*s[55])/44 + 
       (69385*s[56])/132 - (174553*s[57])/396 + (1199405*s[58])/1188 - 
       (1257059*s[59])/1188 - (4672051*s[60])/792 + (1429561*s[61])/5346 - 
       9*s[82]) + F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      ((3*s[2])/2 + 5*s[4] + (331*s[5])/44 + (447*s[6])/44 + 
       (28663*s[7])/264 - (201*s[8])/22 - (377*s[9])/4 - (97*s[10])/4 - 
       (10203*s[11])/88 - (5605*s[12])/44 - (19061*s[13])/264 - 
       (1505*s[14])/88 - (3391*s[15])/24 - (11609*s[16])/66 - 
       (35881*s[17])/264 - (985*s[18])/36 - (115*s[19])/18 - 
       (44035*s[20])/198 - (68879*s[21])/792 + (4993*s[22])/88 + 
       (18875*s[23])/132 + (13843*s[24])/132 - (1017149*s[25])/7128 + 
       (606821*s[26])/7128 + s[37]/2 + 4*s[38] - 16*s[39] + 17*s[40] - 
       13*s[41] + (47*s[42])/2 + (128*s[43])/11 - (227*s[44])/22 + 
       (397*s[45])/22 - (1288*s[46])/11 + (707*s[47])/66 - (613*s[48])/66 - 
       (2957*s[49])/66 + (1865*s[50])/22 + (589*s[51])/33 + (566*s[52])/33 - 
       (4051*s[53])/66 + (433*s[54])/22 - (8597*s[55])/22 - (2515*s[56])/22 + 
       (18871*s[57])/132 - (39689*s[58])/198 + (38417*s[59])/198 + 
       (175393*s[60])/198 - (67961*s[61])/1188 - 6*s[82]) + 
     F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*(4*s[3] + 8*s[4] + 
       (221*s[5])/44 + (623*s[6])/44 + (27805*s[7])/264 - (329*s[8])/33 - 
       (1039*s[9])/12 - (269*s[10])/12 - (10137*s[11])/88 - (5605*s[12])/44 - 
       (20579*s[13])/264 - (779*s[14])/88 - (1099*s[15])/8 - 
       (11279*s[16])/66 - (34231*s[17])/264 - 24*s[18] - (35*s[19])/3 - 
       (2216*s[20])/11 - (58693*s[21])/792 + (41923*s[22])/792 + 
       (4826*s[23])/33 + (41243*s[24])/396 - (1074085*s[25])/7128 + 
       (595249*s[26])/7128 + s[32]/2 + s[37]/2 + 4*s[38] - 16*s[39] + 
       17*s[40] - 13*s[41] + (47*s[42])/2 + (128*s[43])/11 - (227*s[44])/22 + 
       (397*s[45])/22 - (1288*s[46])/11 + (707*s[47])/66 - (613*s[48])/66 - 
       (2957*s[49])/66 + (1865*s[50])/22 + (589*s[51])/33 + (566*s[52])/33 - 
       (4051*s[53])/66 + (433*s[54])/22 - (8597*s[55])/22 - (2515*s[56])/22 + 
       (18871*s[57])/132 - (39689*s[58])/198 + (38417*s[59])/198 + 
       (175393*s[60])/198 - (67961*s[61])/1188 - 6*s[82]) + 
     A3[v, w, u]*HPL[{1}, 1 - v]*((-6*s[5])/11 + (13*s[6])/11 - 
       (137*s[7])/22 + (38*s[8])/99 + (46*s[9])/9 + (35*s[10])/9 + 
       (241*s[11])/33 + (535*s[12])/66 + (131*s[13])/66 + (107*s[14])/66 + 
       (79*s[15])/6 + (499*s[16])/33 + (415*s[17])/33 + (8*s[18])/27 + 
       (124*s[19])/27 + (5770*s[20])/297 + (3191*s[21])/594 - 
       (2071*s[22])/594 - (175*s[23])/66 - (7459*s[24])/594 + 
       (44711*s[25])/5346 - (20051*s[26])/5346 - s[38] - s[41] + s[42] - 
       (14*s[43])/11 + (47*s[44])/22 - (12*s[45])/11 + (68*s[46])/11 + 
       (181*s[47])/66 - (347*s[48])/66 + (689*s[49])/66 - (72*s[50])/11 + 
       (47*s[51])/22 + (167*s[52])/66 + (146*s[53])/33 + (106*s[54])/11 + 
       (2291*s[55])/66 - (19*s[56])/22 + (1009*s[57])/33 - (113*s[58])/66 - 
       (105*s[59])/22 - (41165*s[60])/396 - (1091*s[61])/1782 - 6*s[82]) + 
     A3[w, u, v]*HPL[{1}, 1 - w]*(s[4] - (6*s[5])/11 - (9*s[6])/11 - 
       (145*s[7])/33 - (83*s[8])/99 + (35*s[9])/9 + (37*s[10])/9 + 
       (427*s[11])/66 + (359*s[12])/66 + (181*s[13])/33 + (92*s[14])/33 + 
       (28*s[15])/3 + (433*s[16])/33 + (317*s[17])/22 - (110*s[18])/27 + 
       (194*s[19])/27 + (3350*s[20])/297 + (1007*s[21])/297 - 
       (832*s[22])/297 + (1277*s[23])/66 - (9857*s[24])/594 + 
       (44095*s[25])/5346 - (18643*s[26])/5346 - s[38] - s[41] + s[42] - 
       (14*s[43])/11 + (47*s[44])/22 - (12*s[45])/11 + (68*s[46])/11 + 
       (181*s[47])/66 - (347*s[48])/66 + (689*s[49])/66 - (72*s[50])/11 + 
       (47*s[51])/22 + (167*s[52])/66 + (146*s[53])/33 + (106*s[54])/11 + 
       (2291*s[55])/66 - (19*s[56])/22 + (1009*s[57])/33 - (113*s[58])/66 - 
       (105*s[59])/22 - (41165*s[60])/396 - (1091*s[61])/1782 - 6*s[82]) + 
     F1[u, v, w]*HPL[{1}, 1 - v]^3*((3*s[2])/2 + (11*s[4])/2 + 
       (225*s[5])/44 + (94*s[6])/11 + (23305*s[7])/264 - (3229*s[8])/396 - 
       (686*s[9])/9 - (667*s[10])/36 - (3248*s[11])/33 - (29627*s[12])/264 - 
       (5823*s[13])/88 - (1807*s[14])/264 - (2633*s[15])/24 - 
       (3127*s[16])/22 - (6629*s[17])/66 - (523*s[18])/27 - (935*s[19])/108 - 
       (51803*s[20])/297 - (154945*s[21])/2376 + (111185*s[22])/2376 + 
       (10443*s[23])/88 + (216281*s[24])/2376 - (668317*s[25])/5346 + 
       (370057*s[26])/5346 + s[37] + 5*s[38] - 15*s[39] + 16*s[40] - 
       13*s[41] + 21*s[42] + (257*s[43])/22 - (477*s[44])/44 + 
       (151*s[45])/11 - (1072*s[46])/11 + (395*s[47])/44 - (155*s[48])/44 - 
       (2131*s[49])/44 + (1559*s[50])/22 + (2155*s[51])/132 + 
       (609*s[52])/44 - (1061*s[53])/22 + (229*s[54])/22 - (13205*s[55])/44 - 
       (11177*s[56])/132 + (19753*s[57])/132 - (68375*s[58])/396 + 
       (66215*s[59])/396 + (67549*s[60])/88 - (37700*s[61])/891 - 3*s[82]) + 
     F1[u, v, w]*HPL[{1}, 1 - w]^3*(4*s[3] + (15*s[4])/2 + (159*s[5])/44 + 
       (243*s[6])/22 + (22865*s[7])/264 - (3317*s[8])/396 - (1277*s[9])/18 - 
       (641*s[10])/36 - (12937*s[11])/132 - (29605*s[12])/264 - 
       (6131*s[13])/88 - (707*s[14])/264 - (2573*s[15])/24 - 
       (1536*s[16])/11 - (13049*s[17])/132 - (1889*s[18])/108 - 
       (1303*s[19])/108 - (48283*s[20])/297 - (138269*s[21])/2376 + 
       (104101*s[22])/2376 + (10751*s[23])/88 + (215203*s[24])/2376 - 
       (1384891*s[25])/10692 + (731149*s[26])/10692 + s[32]/2 + s[37] + 
       5*s[38] - 15*s[39] + 16*s[40] - 13*s[41] + 21*s[42] + (257*s[43])/22 - 
       (477*s[44])/44 + (151*s[45])/11 - (1072*s[46])/11 + (395*s[47])/44 - 
       (155*s[48])/44 - (2131*s[49])/44 + (1559*s[50])/22 + 
       (2155*s[51])/132 + (609*s[52])/44 - (1061*s[53])/22 + (229*s[54])/22 - 
       (13205*s[55])/44 - (11177*s[56])/132 + (19753*s[57])/132 - 
       (68375*s[58])/396 + (66215*s[59])/396 + (67549*s[60])/88 - 
       (37700*s[61])/891 - 3*s[82]) + F1[v, w, u]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*((3*s[2])/2 + (11*s[4])/2 + (225*s[5])/44 + 
       (94*s[6])/11 + (23305*s[7])/264 - (3229*s[8])/396 - (686*s[9])/9 - 
       (667*s[10])/36 - (3248*s[11])/33 - (29627*s[12])/264 - 
       (5823*s[13])/88 - (1807*s[14])/264 - (2633*s[15])/24 - 
       (3127*s[16])/22 - (6629*s[17])/66 - (523*s[18])/27 - (935*s[19])/108 - 
       (51803*s[20])/297 - (154945*s[21])/2376 + (111185*s[22])/2376 + 
       (10443*s[23])/88 + (216281*s[24])/2376 - (668317*s[25])/5346 + 
       (370057*s[26])/5346 + s[37] + 5*s[38] - 15*s[39] + 16*s[40] - 
       13*s[41] + 21*s[42] + (257*s[43])/22 - (477*s[44])/44 + 
       (151*s[45])/11 - (1072*s[46])/11 + (395*s[47])/44 - (155*s[48])/44 - 
       (2131*s[49])/44 + (1559*s[50])/22 + (2155*s[51])/132 + 
       (609*s[52])/44 - (1061*s[53])/22 + (229*s[54])/22 - (13205*s[55])/44 - 
       (3711*s[56])/44 + (19753*s[57])/132 - (68375*s[58])/396 + 
       (66215*s[59])/396 + (67549*s[60])/88 - (37700*s[61])/891 - 3*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*Phi6[u, v, w]*
      ((3*s[2])/2 + (11*s[4])/2 + (225*s[5])/44 + (94*s[6])/11 + 
       (23305*s[7])/264 - (3229*s[8])/396 - (686*s[9])/9 - (667*s[10])/36 - 
       (3248*s[11])/33 - (29627*s[12])/264 - (5823*s[13])/88 - 
       (1807*s[14])/264 - (2633*s[15])/24 - (3127*s[16])/22 - 
       (6629*s[17])/66 - (523*s[18])/27 - (935*s[19])/108 - 
       (51803*s[20])/297 - (154945*s[21])/2376 + (111185*s[22])/2376 + 
       (10443*s[23])/88 + (216281*s[24])/2376 - (668317*s[25])/5346 + 
       (370057*s[26])/5346 + s[37] + 5*s[38] - 15*s[39] + 16*s[40] - 
       13*s[41] + 21*s[42] + (257*s[43])/22 - (477*s[44])/44 + 
       (151*s[45])/11 - (1072*s[46])/11 + (395*s[47])/44 - (155*s[48])/44 - 
       (2131*s[49])/44 + (1559*s[50])/22 + (2155*s[51])/132 + 
       (609*s[52])/44 - (1061*s[53])/22 + (229*s[54])/22 - (13205*s[55])/44 - 
       (3711*s[56])/44 + (19753*s[57])/132 - (68375*s[58])/396 + 
       (66215*s[59])/396 + (67549*s[60])/88 - (37700*s[61])/891 - 3*s[82]) + 
     F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*(4*s[3] + (15*s[4])/2 + 
       (159*s[5])/44 + (243*s[6])/22 + (22865*s[7])/264 - (3317*s[8])/396 - 
       (1277*s[9])/18 - (641*s[10])/36 - (12937*s[11])/132 - 
       (29605*s[12])/264 - (6131*s[13])/88 - (707*s[14])/264 - 
       (2573*s[15])/24 - (1536*s[16])/11 - (13049*s[17])/132 - 
       (1889*s[18])/108 - (1303*s[19])/108 - (48283*s[20])/297 - 
       (138269*s[21])/2376 + (104101*s[22])/2376 + (10751*s[23])/88 + 
       (215203*s[24])/2376 - (1384891*s[25])/10692 + (731149*s[26])/10692 + 
       s[32]/2 + s[37] + 5*s[38] - 15*s[39] + 16*s[40] - 13*s[41] + 
       21*s[42] + (257*s[43])/22 - (477*s[44])/44 + (151*s[45])/11 - 
       (1072*s[46])/11 + (395*s[47])/44 - (155*s[48])/44 - (2131*s[49])/44 + 
       (1559*s[50])/22 + (2155*s[51])/132 + (609*s[52])/44 - 
       (1061*s[53])/22 + (229*s[54])/22 - (13205*s[55])/44 - 
       (3711*s[56])/44 + (19753*s[57])/132 - (68375*s[58])/396 + 
       (66215*s[59])/396 + (67549*s[60])/88 - (37700*s[61])/891 - 3*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*Phi6[u, v, w]*
      (4*s[3] + (15*s[4])/2 + (159*s[5])/44 + (243*s[6])/22 + 
       (22865*s[7])/264 - (3317*s[8])/396 - (1277*s[9])/18 - (641*s[10])/36 - 
       (12937*s[11])/132 - (29605*s[12])/264 - (6131*s[13])/88 - 
       (707*s[14])/264 - (2573*s[15])/24 - (1536*s[16])/11 - 
       (13049*s[17])/132 - (1889*s[18])/108 - (1303*s[19])/108 - 
       (48283*s[20])/297 - (138269*s[21])/2376 + (104101*s[22])/2376 + 
       (10751*s[23])/88 + (215203*s[24])/2376 - (1384891*s[25])/10692 + 
       (731149*s[26])/10692 + s[32]/2 + s[37] + 5*s[38] - 15*s[39] + 
       16*s[40] - 13*s[41] + 21*s[42] + (257*s[43])/22 - (477*s[44])/44 + 
       (151*s[45])/11 - (1072*s[46])/11 + (395*s[47])/44 - (155*s[48])/44 - 
       (2131*s[49])/44 + (1559*s[50])/22 + (2155*s[51])/132 + 
       (609*s[52])/44 - (1061*s[53])/22 + (229*s[54])/22 - (13205*s[55])/44 - 
       (3711*s[56])/44 + (19753*s[57])/132 - (68375*s[58])/396 + 
       (66215*s[59])/396 + (67549*s[60])/88 - (37700*s[61])/891 - 3*s[82]) + 
     HPL[{0, 1}, 1 - v]*J1[v, w, u]*((9*s[2])/16 - 15*s[3] - (961*s[4])/32 - 
       (6157*s[5])/352 - (10819*s[6])/176 - (784441*s[7])/2112 + 
       (27421*s[8])/792 + (85919*s[9])/288 + (19075*s[10])/288 + 
       (887173*s[11])/2112 + (255437*s[12])/528 + (211301*s[13])/704 + 
       (79537*s[14])/2112 + (85157*s[15])/192 + (212457*s[16])/352 + 
       (887021*s[17])/2112 + (86407*s[18])/864 + (12641*s[19])/864 + 
       (6766031*s[20])/9504 + (5284669*s[21])/19008 - (3531191*s[22])/19008 - 
       (27287*s[23])/44 - (1683389*s[24])/4752 + (93058561*s[25])/171072 - 
       (53187157*s[26])/171072 - s[32]/8 + s[33]/4 + s[36]/4 - 
       (81*s[37])/16 - (55*s[38])/4 + 60*s[39] - (545*s[40])/8 + 45*s[41] - 
       (1415*s[42])/16 - (1037*s[43])/22 + (8955*s[44])/176 - 
       (666*s[45])/11 + (37573*s[46])/88 - (2721*s[47])/88 + (535*s[48])/88 + 
       (32683*s[49])/176 - (23861*s[50])/88 - (9965*s[51])/176 - 
       (1327*s[52])/22 + (52097*s[53])/264 - (7969*s[54])/88 + 
       (679163*s[55])/528 + (240617*s[56])/528 - (596401*s[57])/792 + 
       (473399*s[58])/594 - (1789727*s[59])/2376 - (1100643*s[60])/352 + 
       (9057013*s[61])/42768 + (3*s[68])/4 + (3*s[69])/4 + (3*s[76])/2 + 
       2*s[77] - (9*s[82])/4) + HPL[{0, 1}, 1 - w]*J1[u, v, w]*
      ((-21*s[2])/16 - (9*s[3])/4 - (479*s[4])/32 - (9303*s[5])/352 - 
       (10929*s[6])/176 - (822479*s[7])/2112 + (348*s[8])/11 + 
       (10665*s[9])/32 + (2533*s[10])/32 + (305705*s[11])/704 + 
       (85527*s[12])/176 + (631681*s[13])/2112 + (58361*s[14])/704 + 
       (30049*s[15])/64 + (665333*s[16])/1056 + (956123*s[17])/2112 + 
       (30341*s[18])/288 + (421*s[19])/288 + (2479795*s[20])/3168 + 
       (2049133*s[21])/6336 - (432529*s[22])/2112 - (69563*s[23])/132 - 
       (98999*s[24])/264 + (30733777*s[25])/57024 - (18937945*s[26])/57024 + 
       s[32]/4 + s[33]/4 + s[36]/4 - (81*s[37])/16 - (55*s[38])/4 + 
       60*s[39] - (545*s[40])/8 + 45*s[41] - (1415*s[42])/16 - 
       (1037*s[43])/22 + (8955*s[44])/176 - (666*s[45])/11 + 
       (37573*s[46])/88 - (2721*s[47])/88 + (535*s[48])/88 + 
       (32683*s[49])/176 - (23861*s[50])/88 - (9965*s[51])/176 - 
       (1327*s[52])/22 + (52097*s[53])/264 - (7969*s[54])/88 + 
       (679163*s[55])/528 + (240617*s[56])/528 - (596401*s[57])/792 + 
       (473399*s[58])/594 - (1789727*s[59])/2376 - (1100643*s[60])/352 + 
       (9057013*s[61])/42768 + (3*s[68])/4 + (3*s[69])/4 + (3*s[76])/2 + 
       2*s[77] - (9*s[82])/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*Phi6[u, v, w]*((3*s[2])/2 - 8*s[3] + (59*s[4])/2 + 
       (963*s[5])/22 + (1373*s[6])/22 + (8012*s[7])/11 - (3287*s[8])/66 - 
       (1892*s[9])/3 - (1235*s[10])/6 - (8875*s[11])/11 - (38737*s[12])/44 - 
       (22953*s[13])/44 - (4531*s[14])/44 - (2918*s[15])/3 - 
       (53987*s[16])/44 - (20855*s[17])/22 - (1108*s[18])/9 - 
       (2389*s[19])/18 - (292921*s[20])/198 - (217727*s[21])/396 + 
       (153649*s[22])/396 + (15453*s[23])/22 + (83788*s[24])/99 - 
       (1793707*s[25])/1782 + (503171*s[26])/891 - s[32] + (3*s[37])/2 + 
       36*s[38] - (213*s[39])/2 + (223*s[40])/2 - 81*s[41] + (273*s[42])/2 + 
       (2213*s[43])/22 - (2113*s[44])/22 + (1170*s[45])/11 - 
       (8808*s[46])/11 + (3491*s[47])/132 + (3689*s[48])/132 - 
       (61205*s[49])/132 + (13479*s[50])/22 + (3903*s[51])/44 + 
       (5195*s[52])/66 - (9149*s[53])/22 - (270*s[54])/11 - 
       (117983*s[55])/44 - (84343*s[56])/132 + (115583*s[57])/198 - 
       (1437539*s[58])/1188 + (1487561*s[59])/1188 + (5373623*s[60])/792 - 
       (3470771*s[61])/10692 + 3*s[82]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*Phi6[u, v, w]*(-3*s[2] + 16*s[3] + (103*s[4])/2 + 
       (309*s[5])/11 + (865*s[6])/11 + (92273*s[7])/132 - (5356*s[8])/99 - 
       (5153*s[9])/9 - (3329*s[10])/18 - (51883*s[11])/66 - 
       (57335*s[12])/66 - (11839*s[13])/22 - (2755*s[14])/66 - 
       (11159*s[15])/12 - (51839*s[16])/44 - (29386*s[17])/33 - 
       (5999*s[18])/54 - (4073*s[19])/27 - (395264*s[20])/297 - 
       (276223*s[21])/594 + (106054*s[22])/297 + (34909*s[23])/44 + 
       (960865*s[24])/1188 - (2753582*s[25])/2673 + (1442615*s[26])/2673 + 
       s[32] + (3*s[37])/2 + 36*s[38] - (213*s[39])/2 + (223*s[40])/2 - 
       81*s[41] + (273*s[42])/2 + (2213*s[43])/22 - (2113*s[44])/22 + 
       (1170*s[45])/11 - (8808*s[46])/11 + (3491*s[47])/132 + 
       (3689*s[48])/132 - (61205*s[49])/132 + (13479*s[50])/22 + 
       (3903*s[51])/44 + (5195*s[52])/66 - (9149*s[53])/22 - (270*s[54])/11 - 
       (117983*s[55])/44 - (84343*s[56])/132 + (115583*s[57])/198 - 
       (1437539*s[58])/1188 + (1487561*s[59])/1188 + (5373623*s[60])/792 - 
       (3470771*s[61])/10692 + 3*s[82]) + F1[u, v, w]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*((3*s[2])/2 - 8*s[3] + (59*s[4])/2 + (963*s[5])/22 + 
       (1373*s[6])/22 + (8012*s[7])/11 - (3287*s[8])/66 - (1892*s[9])/3 - 
       (1235*s[10])/6 - (8875*s[11])/11 - (38737*s[12])/44 - 
       (22953*s[13])/44 - (4531*s[14])/44 - (2918*s[15])/3 - 
       (53987*s[16])/44 - (20855*s[17])/22 - (1108*s[18])/9 - 
       (2389*s[19])/18 - (292921*s[20])/198 - (217727*s[21])/396 + 
       (153649*s[22])/396 + (15453*s[23])/22 + (83788*s[24])/99 - 
       (1793707*s[25])/1782 + (503171*s[26])/891 - s[32] + (3*s[37])/2 + 
       36*s[38] - (213*s[39])/2 + (223*s[40])/2 - 81*s[41] + (273*s[42])/2 + 
       (2213*s[43])/22 - (2113*s[44])/22 + (1170*s[45])/11 - 
       (8808*s[46])/11 + (3491*s[47])/132 + (3689*s[48])/132 - 
       (61205*s[49])/132 + (13479*s[50])/22 + (3903*s[51])/44 + 
       (5195*s[52])/66 - (9149*s[53])/22 - (270*s[54])/11 - 
       (117983*s[55])/44 - (84277*s[56])/132 + (115583*s[57])/198 - 
       (1437539*s[58])/1188 + (1487561*s[59])/1188 + (5373623*s[60])/792 - 
       (3470771*s[61])/10692 + 3*s[82]) + F1[u, v, w]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*(-3*s[2] + 16*s[3] + (103*s[4])/2 + (309*s[5])/11 + 
       (865*s[6])/11 + (92273*s[7])/132 - (5356*s[8])/99 - (5153*s[9])/9 - 
       (3329*s[10])/18 - (51883*s[11])/66 - (57335*s[12])/66 - 
       (11839*s[13])/22 - (2755*s[14])/66 - (11159*s[15])/12 - 
       (51839*s[16])/44 - (29386*s[17])/33 - (5999*s[18])/54 - 
       (4073*s[19])/27 - (395264*s[20])/297 - (276223*s[21])/594 + 
       (106054*s[22])/297 + (34909*s[23])/44 + (960865*s[24])/1188 - 
       (2753582*s[25])/2673 + (1442615*s[26])/2673 + s[32] + (3*s[37])/2 + 
       36*s[38] - (213*s[39])/2 + (223*s[40])/2 - 81*s[41] + (273*s[42])/2 + 
       (2213*s[43])/22 - (2113*s[44])/22 + (1170*s[45])/11 - 
       (8808*s[46])/11 + (3491*s[47])/132 + (3689*s[48])/132 - 
       (61205*s[49])/132 + (13479*s[50])/22 + (3903*s[51])/44 + 
       (5195*s[52])/66 - (9149*s[53])/22 - (270*s[54])/11 - 
       (117983*s[55])/44 - (84277*s[56])/132 + (115583*s[57])/198 - 
       (1437539*s[58])/1188 + (1487561*s[59])/1188 + (5373623*s[60])/792 - 
       (3470771*s[61])/10692 + 3*s[82]) + F1[v, w, u]*HPL[{1}, 1 - v]^3*
      ((-47*s[5])/12 - (9*s[6])/4 - (611*s[7])/18 + (235*s[8])/108 + 
       (3295*s[9])/108 + (1241*s[10])/108 + (1109*s[11])/36 + (235*s[12])/9 + 
       (403*s[13])/36 + (569*s[14])/36 + (2135*s[15])/36 + (2191*s[16])/36 + 
       (196*s[17])/3 + (2981*s[18])/324 + (226*s[19])/81 + 
       (12703*s[20])/162 + (2744*s[21])/81 - (5569*s[22])/324 - 
       (577*s[23])/18 - (5375*s[24])/162 + (190681*s[25])/5832 - 
       (150757*s[26])/5832 - s[38]/6 + (23*s[39])/12 - (23*s[40])/12 + 
       (7*s[41])/4 - (41*s[42])/12 - (23*s[43])/12 + (23*s[44])/24 - 
       (71*s[45])/12 + (199*s[46])/6 - (53*s[47])/72 + (277*s[48])/72 + 
       (431*s[49])/72 - (83*s[50])/3 - (163*s[51])/72 - (133*s[52])/72 + 
       (227*s[53])/9 - (23*s[54])/3 + (11263*s[55])/72 + (883*s[56])/24 + 
       (559*s[57])/18 + (7751*s[58])/216 - (9755*s[59])/216 - 
       (114143*s[60])/432 + (2977*s[61])/162 + 3*s[82]) + 
     F1[w, u, v]*HPL[{1}, 1 - w]^3*((-7*s[4])/4 - 2*s[5] - (35*s[6])/12 - 
       (739*s[7])/24 + (383*s[8])/108 + (1411*s[9])/54 + (226*s[10])/27 + 
       (2141*s[11])/72 + (1013*s[12])/36 + (1001*s[13])/72 + (455*s[14])/72 + 
       (1255*s[15])/24 + (959*s[16])/18 + (3671*s[17])/72 + (623*s[18])/162 + 
       (2033*s[19])/324 + (20689*s[20])/324 + (14489*s[21])/648 - 
       (9961*s[22])/648 - (1163*s[23])/36 - (11189*s[24])/324 + 
       (112051*s[25])/2916 - (64783*s[26])/2916 - s[38]/6 + (23*s[39])/12 - 
       (23*s[40])/12 + (7*s[41])/4 - (41*s[42])/12 - (23*s[43])/12 + 
       (23*s[44])/24 - (71*s[45])/12 + (199*s[46])/6 - (53*s[47])/72 + 
       (277*s[48])/72 + (431*s[49])/72 - (83*s[50])/3 - (163*s[51])/72 - 
       (133*s[52])/72 + (227*s[53])/9 - (23*s[54])/3 + (11263*s[55])/72 + 
       (883*s[56])/24 + (559*s[57])/18 + (7751*s[58])/216 - 
       (9755*s[59])/216 - (114143*s[60])/432 + (2977*s[61])/162 + 3*s[82]) + 
     HPL[{1}, 1 - v]^2*K1[v, w, u]*((-3*s[2])/2 - (11*s[4])/2 - 
       (203*s[5])/44 - (94*s[6])/11 - (23305*s[7])/264 + (3229*s[8])/396 + 
       (686*s[9])/9 + (667*s[10])/36 + (6529*s[11])/66 + (30023*s[12])/264 + 
       (5955*s[13])/88 + (1675*s[14])/264 + (2561*s[15])/24 + 
       (1547*s[16])/11 + (3199*s[17])/33 + (523*s[18])/27 + (935*s[19])/108 + 
       (51803*s[20])/297 + (151777*s[21])/2376 - (111581*s[22])/2376 - 
       (10047*s[23])/88 - (215885*s[24])/2376 + (675841*s[25])/5346 - 
       (370453*s[26])/5346 - s[37] - 5*s[38] + 15*s[39] - 16*s[40] + 
       13*s[41] - 21*s[42] - (257*s[43])/22 + (477*s[44])/44 - 
       (151*s[45])/11 + (1072*s[46])/11 - (395*s[47])/44 + (155*s[48])/44 + 
       (2131*s[49])/44 - (1559*s[50])/22 - (2155*s[51])/132 - 
       (631*s[52])/44 + (1039*s[53])/22 - (207*s[54])/22 + (13073*s[55])/44 + 
       (3667*s[56])/44 - (19885*s[57])/132 + (68771*s[58])/396 - 
       (65819*s[59])/396 - (202999*s[60])/264 + (75499*s[61])/1782 + 
       3*s[82]) + HPL[{1}, 1 - w]^2*K1[u, v, w]*(-4*s[3] - (15*s[4])/2 - 
       (159*s[5])/44 - (243*s[6])/22 - (22865*s[7])/264 + (3317*s[8])/396 + 
       (1277*s[9])/18 + (641*s[10])/36 + (12937*s[11])/132 + 
       (29605*s[12])/264 + (6175*s[13])/88 + (575*s[14])/264 + 
       (2573*s[15])/24 + (1536*s[16])/11 + (13115*s[17])/132 + 
       (1907*s[18])/108 + (1285*s[19])/108 + (96071*s[20])/594 + 
       (138269*s[21])/2376 - (104101*s[22])/2376 - (10707*s[23])/88 - 
       (214411*s[24])/2376 + (1384099*s[25])/10692 - (730357*s[26])/10692 - 
       s[32]/2 - s[37] - 5*s[38] + 15*s[39] - 16*s[40] + 13*s[41] - 
       21*s[42] - (257*s[43])/22 + (477*s[44])/44 - (151*s[45])/11 + 
       (1072*s[46])/11 - (395*s[47])/44 + (155*s[48])/44 + (2131*s[49])/44 - 
       (1559*s[50])/22 - (2155*s[51])/132 - (631*s[52])/44 + 
       (1039*s[53])/22 - (207*s[54])/22 + (13073*s[55])/44 + 
       (3667*s[56])/44 - (19885*s[57])/132 + (68771*s[58])/396 - 
       (65819*s[59])/396 - (202999*s[60])/264 + (75499*s[61])/1782 + 
       3*s[82]) + HPL[{0, 1}, 1 - v]*J1[w, u, v]*((29*s[2])/16 + 8*s[3] + 
       (811*s[4])/32 + (6851*s[5])/352 + (8375*s[6])/176 + 
       (851263*s[7])/2112 - (7867*s[8])/264 - (32075*s[9])/96 - 
       (10039*s[10])/96 - (316249*s[11])/704 - (86949*s[12])/176 - 
       (635969*s[13])/2112 - (35061*s[14])/704 - (102659*s[15])/192 - 
       (718669*s[16])/1056 - (1097395*s[17])/2112 - (23495*s[18])/288 - 
       (17449*s[19])/288 - (2505847*s[20])/3168 - (639619*s[21])/2112 + 
       (1310459*s[22])/6336 + (16003*s[23])/33 + (708935*s[24])/1584 - 
       (10864615*s[25])/19008 + (6150019*s[26])/19008 + s[32]/8 + 
       (5*s[33])/4 + (5*s[36])/4 + (27*s[37])/16 + (73*s[38])/4 - 
       (117*s[39])/2 + (507*s[40])/8 - (181*s[41])/4 + (1249*s[42])/16 + 
       (1201*s[43])/22 - (9501*s[44])/176 + (2689*s[45])/44 - 
       (40093*s[46])/88 + (4067*s[47])/264 + (3803*s[48])/264 - 
       (129727*s[49])/528 + (29265*s[50])/88 + (25837*s[51])/528 + 
       (6023*s[52])/132 - (60959*s[53])/264 + (1129*s[54])/88 - 
       (264351*s[55])/176 - (205999*s[56])/528 + (158929*s[57])/396 - 
       (847631*s[58])/1188 + (1722739*s[59])/2376 + (11814745*s[60])/3168 - 
       (8263943*s[61])/42768 - (13*s[68])/4 + s[69]/4 + s[73] + 
       (15*s[82])/4) + HPL[{0, 1}, 1 - w]*J1[w, u, v]*
      ((23*s[2])/16 - (5*s[3])/4 + (637*s[4])/32 + (7489*s[5])/352 + 
       (8133*s[6])/176 + (283923*s[7])/704 - (11443*s[8])/396 - 
       (99007*s[9])/288 - (29963*s[10])/288 - (951365*s[11])/2112 - 
       (261859*s[12])/528 - (636431*s[13])/2112 - (118757*s[14])/2112 - 
       (101413*s[15])/192 - (710683*s[16])/1056 - (1070357*s[17])/2112 - 
       (69905*s[18])/864 - (49765*s[19])/864 - (7654579*s[20])/9504 - 
       (5796017*s[21])/19008 + (4030927*s[22])/19008 + (114527*s[23])/264 + 
       (269603*s[24])/594 - (97116365*s[25])/171072 + 
       (55255637*s[26])/171072 + s[32]/4 + (5*s[33])/4 + (5*s[36])/4 + 
       (27*s[37])/16 + (73*s[38])/4 - (117*s[39])/2 + (507*s[40])/8 - 
       (181*s[41])/4 + (1249*s[42])/16 + (1201*s[43])/22 - (9501*s[44])/176 + 
       (2689*s[45])/44 - (40093*s[46])/88 + (4067*s[47])/264 + 
       (3803*s[48])/264 - (129727*s[49])/528 + (29265*s[50])/88 + 
       (25837*s[51])/528 + (6023*s[52])/132 - (60959*s[53])/264 + 
       (1129*s[54])/88 - (264351*s[55])/176 - (205999*s[56])/528 + 
       (158929*s[57])/396 - (847631*s[58])/1188 + (1722739*s[59])/2376 + 
       (11814745*s[60])/3168 - (8263943*s[61])/42768 - (13*s[68])/4 + 
       s[69]/4 + s[73] + (15*s[82])/4) + HPL[{0, 1}, 1 - w]*J1[v, w, u]*
      ((-21*s[2])/16 + (47*s[3])/4 + (625*s[4])/32 - (1051*s[5])/352 + 
       (2861*s[6])/176 + (65335*s[7])/704 - (4783*s[8])/396 - 
       (17467*s[9])/288 - (3719*s[10])/288 - (244433*s[11])/2112 - 
       (75967*s[12])/528 - (207395*s[13])/2112 + (76975*s[14])/2112 - 
       (20897*s[15])/192 - (167383*s[16])/1056 - (186401*s[17])/2112 - 
       (8993*s[18])/864 - (23305*s[19])/864 - (1198015*s[20])/9504 - 
       (520541*s[21])/19008 + (783043*s[22])/19008 + (26959*s[23])/132 + 
       (31378*s[24])/297 - (30364481*s[25])/171072 + 
       (11979497*s[26])/171072 + s[33]/4 + s[36]/4 + (31*s[37])/16 + 
       (27*s[38])/4 - (77*s[39])/4 + (169*s[40])/8 - 14*s[41] + 
       (401*s[42])/16 + (661*s[43])/44 - (3027*s[44])/176 + (697*s[45])/44 - 
       (10103*s[46])/88 + (457*s[47])/66 + (683*s[48])/132 - 
       (38897*s[49])/528 + (7297*s[50])/88 + (8431*s[51])/528 + 
       (4205*s[52])/264 - (4353*s[53])/88 + (197*s[54])/88 - 
       (57373*s[55])/176 - (50485*s[56])/528 + (40421*s[57])/198 - 
       (504913*s[58])/2376 + (118819*s[59])/594 + (2987591*s[60])/3168 - 
       (2062463*s[61])/42768 + (3*s[68])/4 + (3*s[69])/4 - (3*s[76])/2 - 
       s[77] + (15*s[82])/4) + HPL[{0, 1}, 1 - v]*J1[u, v, w]*
      ((-15*s[2])/16 - 7*s[3] - (177*s[4])/32 + (3855*s[5])/352 + 
       (1299*s[6])/176 + (233339*s[7])/2112 - (1447*s[8])/264 - 
       (10367*s[9])/96 - (3115*s[10])/96 - (87117*s[11])/704 - 
       (24237*s[12])/176 - (169621*s[13])/2112 - (30185*s[14])/704 - 
       (23551*s[15])/192 - (181793*s[16])/1056 - (256559*s[17])/2112 - 
       (943*s[18])/32 - (271*s[19])/96 - (89211*s[20])/352 - 
       (677981*s[21])/6336 + (412631*s[22])/6336 + (14923*s[23])/264 + 
       (183347*s[24])/1584 - (7676993*s[25])/57024 + (5147381*s[26])/57024 - 
       (3*s[32])/8 + s[33]/4 + s[36]/4 + (31*s[37])/16 + (27*s[38])/4 - 
       (77*s[39])/4 + (169*s[40])/8 - 14*s[41] + (401*s[42])/16 + 
       (661*s[43])/44 - (3027*s[44])/176 + (697*s[45])/44 - 
       (10103*s[46])/88 + (457*s[47])/66 + (683*s[48])/132 - 
       (38897*s[49])/528 + (7297*s[50])/88 + (8431*s[51])/528 + 
       (4205*s[52])/264 - (4353*s[53])/88 + (197*s[54])/88 - 
       (57373*s[55])/176 - (50485*s[56])/528 + (40421*s[57])/198 - 
       (504913*s[58])/2376 + (118819*s[59])/594 + (2987591*s[60])/3168 - 
       (2062463*s[61])/42768 + (3*s[68])/4 + (3*s[69])/4 - (3*s[76])/2 - 
       s[77] + (15*s[82])/4) + A3[w, u, v]*HPL[{1}, 1 - v]*
      (-s[4] + (6*s[5])/11 + (9*s[6])/11 + (145*s[7])/33 + (83*s[8])/99 - 
       (35*s[9])/9 - (37*s[10])/9 - (427*s[11])/66 - (359*s[12])/66 - 
       (181*s[13])/33 - (92*s[14])/33 - (28*s[15])/3 - (433*s[16])/33 - 
       (317*s[17])/22 + (110*s[18])/27 - (194*s[19])/27 - (3350*s[20])/297 - 
       (1007*s[21])/297 + (832*s[22])/297 - (1277*s[23])/66 + 
       (9857*s[24])/594 - (44095*s[25])/5346 + (18643*s[26])/5346 + s[38] + 
       s[41] - s[42] + (14*s[43])/11 - (47*s[44])/22 + (12*s[45])/11 - 
       (68*s[46])/11 - (181*s[47])/66 + (347*s[48])/66 - (689*s[49])/66 + 
       (72*s[50])/11 - (47*s[51])/22 - (167*s[52])/66 - (146*s[53])/33 - 
       (106*s[54])/11 - (2291*s[55])/66 + (19*s[56])/22 - (1009*s[57])/33 + 
       (113*s[58])/66 + (105*s[59])/22 + (41165*s[60])/396 + 
       (1091*s[61])/1782 + 6*s[82]) + A3[v, w, u]*HPL[{1}, 1 - w]*
      ((6*s[5])/11 - (13*s[6])/11 + (137*s[7])/22 - (38*s[8])/99 - 
       (46*s[9])/9 - (35*s[10])/9 - (241*s[11])/33 - (535*s[12])/66 - 
       (131*s[13])/66 - (107*s[14])/66 - (79*s[15])/6 - (499*s[16])/33 - 
       (415*s[17])/33 - (8*s[18])/27 - (124*s[19])/27 - (5770*s[20])/297 - 
       (3191*s[21])/594 + (2071*s[22])/594 + (175*s[23])/66 + 
       (7459*s[24])/594 - (44711*s[25])/5346 + (20051*s[26])/5346 + s[38] + 
       s[41] - s[42] + (14*s[43])/11 - (47*s[44])/22 + (12*s[45])/11 - 
       (68*s[46])/11 - (181*s[47])/66 + (347*s[48])/66 - (689*s[49])/66 + 
       (72*s[50])/11 - (47*s[51])/22 - (167*s[52])/66 - (146*s[53])/33 - 
       (106*s[54])/11 - (2291*s[55])/66 + (19*s[56])/22 - (1009*s[57])/33 + 
       (113*s[58])/66 + (105*s[59])/22 + (41165*s[60])/396 + 
       (1091*s[61])/1782 + 6*s[82]) + HPL[{1}, 1 - w]^2*K1[v, w, u]*
      ((-3*s[2])/2 - 5*s[4] - (331*s[5])/44 - (447*s[6])/44 - 
       (28663*s[7])/264 + (201*s[8])/22 + (377*s[9])/4 + (97*s[10])/4 + 
       (10203*s[11])/88 + (5605*s[12])/44 + (18929*s[13])/264 + 
       (1549*s[14])/88 + (3391*s[15])/24 + (11609*s[16])/66 + 
       (35749*s[17])/264 + (979*s[18])/36 + (59*s[19])/9 + (22100*s[20])/99 + 
       (68879*s[21])/792 - (4993*s[22])/88 - (18941*s[23])/132 - 
       (4629*s[24])/44 + (1017677*s[25])/7128 - (607349*s[26])/7128 - 
       s[37]/2 - 4*s[38] + 16*s[39] - 17*s[40] + 13*s[41] - (47*s[42])/2 - 
       (128*s[43])/11 + (227*s[44])/22 - (397*s[45])/22 + (1288*s[46])/11 - 
       (707*s[47])/66 + (613*s[48])/66 + (2957*s[49])/66 - (1865*s[50])/22 - 
       (589*s[51])/33 - (1099*s[52])/66 + (4117*s[53])/66 - (455*s[54])/22 + 
       (8663*s[55])/22 + (2515*s[56])/22 - (18739*s[57])/132 + 
       (39491*s[58])/198 - (38615*s[59])/198 - (175129*s[60])/198 + 
       (67895*s[61])/1188 + 6*s[82]) + HPL[{1}, 1 - v]^2*K1[u, v, w]*
      (-4*s[3] - 8*s[4] - (243*s[5])/44 - (623*s[6])/44 - (27805*s[7])/264 + 
       (329*s[8])/33 + (1039*s[9])/12 + (269*s[10])/12 + (10093*s[11])/88 + 
       (5539*s[12])/44 + (20183*s[13])/264 + (823*s[14])/88 + 
       (1123*s[15])/8 + (5689*s[16])/33 + (35155*s[17])/264 + 24*s[18] + 
       (35*s[19])/3 + (2216*s[20])/11 + (59749*s[21])/792 - 
       (41791*s[22])/792 - (9949*s[23])/66 - (41309*s[24])/396 + 
       (1064053*s[25])/7128 - (594721*s[26])/7128 - s[32]/2 - s[37]/2 - 
       4*s[38] + 16*s[39] - 17*s[40] + 13*s[41] - (47*s[42])/2 - 
       (128*s[43])/11 + (227*s[44])/22 - (397*s[45])/22 + (1288*s[46])/11 - 
       (707*s[47])/66 + (613*s[48])/66 + (2957*s[49])/66 - (1865*s[50])/22 - 
       (589*s[51])/33 - (1099*s[52])/66 + (4117*s[53])/66 - (455*s[54])/22 + 
       (8663*s[55])/22 + (2515*s[56])/22 - (18739*s[57])/132 + 
       (39491*s[58])/198 - (38615*s[59])/198 - (175129*s[60])/198 + 
       (67895*s[61])/1188 + 6*s[82]) + HPL[{0, 1}, 1 - w]*K1[w, u, v]*
      ((7*s[2])/2 + s[3] + (497*s[4])/4 + (2883*s[5])/44 + (1968*s[6])/11 + 
       (453989*s[7])/264 - (68903*s[8])/396 - (51421*s[9])/36 - 
       (14117*s[10])/36 - (128567*s[11])/66 - (293861*s[12])/132 - 
       (59539*s[13])/44 - (1973*s[14])/66 - (51805*s[15])/24 - 
       (249863*s[16])/88 - (263081*s[17])/132 - (16579*s[18])/54 - 
       (28741*s[19])/108 - (3834403*s[20])/1188 - (335074*s[21])/297 + 
       (1070831*s[22])/1188 + (202095*s[23])/88 + (4424653*s[24])/2376 - 
       (54751733*s[25])/21384 + (28414547*s[26])/21384 - 2*s[29] + s[30] - 
       s[31] + s[32]/2 + s[33] - s[35] - 4*s[36] + (26*s[37])/3 + 
       (173*s[38])/2 - (623*s[39])/2 + (661*s[40])/2 - (991*s[41])/4 + 
       (1741*s[42])/4 + (5557*s[43])/22 - (23643*s[44])/88 + 
       (17041*s[45])/66 - (139891*s[46])/66 + (11021*s[47])/88 - 
       (243*s[48])/88 - (104079*s[49])/88 + (69781*s[50])/44 + 
       (76493*s[51])/264 + (21509*s[52])/88 - (431311*s[53])/396 + 
       (3283*s[54])/132 - (1800671*s[55])/264 - (1401601*s[56])/792 + 
       (2960081*s[57])/1188 - (24619685*s[58])/7128 + (24915659*s[59])/7128 + 
       (27009503*s[60])/1584 - (7055452*s[61])/8019 - s[65]/2 - 2*s[66] + 
       2*s[67] - 2*s[68] + 4*s[69] + s[71]/2 + 2*s[72] - (3*s[74])/2 + 
       (3*s[75])/2 - 2*s[76] + s[77] + 6*s[78] + 4*s[79] - (5*s[80])/3 + 
       6*s[82]) + HPL[{0, 1}, 1 - v]*K1[w, u, v]*((11*s[2])/2 + 23*s[3] + 
       (243*s[4])/2 + (4679*s[5])/44 + (10291*s[6])/44 + (22368*s[7])/11 - 
       (180047*s[8])/1188 - (46105*s[9])/27 - (57149*s[10])/108 - 
       (1785593*s[11])/792 - (487705*s[12])/198 - (1178219*s[13])/792 - 
       (199061*s[14])/792 - (48607*s[15])/18 - (2722703*s[16])/792 - 
       (2109887*s[17])/792 - (131345*s[18])/324 - (96883*s[19])/324 - 
       (14315599*s[20])/3564 - (10828193*s[21])/7128 + (7534423*s[22])/7128 + 
       (1919047*s[23])/792 + (15723259*s[24])/7128 - (91331005*s[25])/32076 + 
       (25633343*s[26])/16038 + 2*s[31] + 2*s[32] + (13*s[33])/4 - 4*s[34] - 
       s[35] - 4*s[36] + (26*s[37])/3 + (173*s[38])/2 - (623*s[39])/2 + 
       (661*s[40])/2 - (991*s[41])/4 + (1741*s[42])/4 + (5557*s[43])/22 - 
       (23643*s[44])/88 + (17041*s[45])/66 - (139891*s[46])/66 + 
       (11021*s[47])/88 - (243*s[48])/88 - (104079*s[49])/88 + 
       (69781*s[50])/44 + (76493*s[51])/264 + (21509*s[52])/88 - 
       (431311*s[53])/396 + (3283*s[54])/132 - (1800671*s[55])/264 - 
       (1401601*s[56])/792 + (2960081*s[57])/1188 - (24619685*s[58])/7128 + 
       (24915659*s[59])/7128 + (27009503*s[60])/1584 - (7055452*s[61])/8019 - 
       s[65]/2 - 2*s[66] + 2*s[67] - 2*s[68] + 4*s[69] + s[71]/2 + 2*s[72] - 
       (3*s[74])/2 + (3*s[75])/2 - 2*s[76] + s[77] + 6*s[78] + 4*s[79] - 
       (5*s[80])/3 + 6*s[82]) + HPL[{0, 1}, 1 - w]*K1[v, w, u]*
      (s[2]/2 + 22*s[3] + 6*s[4] + 44*s[5] + (159*s[6])/2 + (2497*s[7])/6 + 
       (371*s[8])/36 - (13201*s[9])/36 - (1220*s[10])/9 - (2635*s[11])/6 - 
       (1228*s[12])/3 - 260*s[13] - (2519*s[14])/12 - (2483*s[15])/4 - 
       (1489*s[16])/2 - (8593*s[17])/12 - (3197*s[18])/27 - 
       (3391*s[19])/108 - (102839*s[20])/108 - (12032*s[21])/27 + 
       (5707*s[22])/27 + (631*s[23])/2 + (47809*s[24])/108 - 
       (925513*s[25])/1944 + (707713*s[26])/1944 + 2*s[29] - s[30] + 
       3*s[31] + s[32]/2 + (9*s[33])/4 - 4*s[34] + s[36] + (14*s[37])/3 + 
       6*s[38] - 27*s[39] + 33*s[40] - 18*s[41] + 41*s[42] + (155*s[43])/11 - 
       (237*s[44])/11 + (617*s[45])/33 - (3896*s[46])/33 + (628*s[47])/33 - 
       (164*s[48])/33 - (1972*s[49])/33 + (717*s[50])/11 + (280*s[51])/11 + 
       (986*s[52])/33 - (3457*s[53])/99 + (1621*s[54])/33 - 
       (15401*s[55])/66 - (14222*s[56])/99 + (160928*s[57])/297 - 
       (288808*s[58])/891 + (242422*s[59])/891 + (153467*s[60])/198 - 
       (2015881*s[61])/32076 - s[66] + 2*s[69] - 2*s[70] - 2*s[76] + s[77] + 
       2*s[79] - (2*s[80])/3 + 6*s[82]) + HPL[{0, 1}, 1 - v]*K1[u, v, w]*
      (-5*s[2] - 10*s[3] + 12*s[4] - (392*s[5])/11 - (901*s[6])/22 - 
       (13531*s[7])/66 - (43325*s[8])/1188 + (21209*s[9])/108 + 
       (6635*s[10])/54 + (35611*s[11])/198 + (7165*s[12])/99 + 
       (4016*s[13])/99 + (85493*s[14])/396 + (16351*s[15])/36 + 
       (85663*s[16])/198 + (234467*s[17])/396 + (8435*s[18])/162 + 
       (16055*s[19])/324 + (2078897*s[20])/3564 + (541363*s[21])/1782 - 
       (184013*s[22])/1782 + (35407*s[23])/198 - (1015285*s[24])/3564 + 
       (8002939*s[25])/64152 - (11332183*s[26])/64152 - s[29] + s[30] - 
       3*s[31] - 2*s[32] - (3*s[33])/4 + 4*s[34] + s[36] + (14*s[37])/3 + 
       6*s[38] - 27*s[39] + 33*s[40] - 18*s[41] + 41*s[42] + (155*s[43])/11 - 
       (237*s[44])/11 + (617*s[45])/33 - (3896*s[46])/33 + (628*s[47])/33 - 
       (164*s[48])/33 - (1972*s[49])/33 + (717*s[50])/11 + (280*s[51])/11 + 
       (986*s[52])/33 - (3457*s[53])/99 + (1621*s[54])/33 - 
       (15401*s[55])/66 - (14222*s[56])/99 + (160928*s[57])/297 - 
       (288808*s[58])/891 + (242422*s[59])/891 + (153467*s[60])/198 - 
       (2015881*s[61])/32076 - s[66] + 2*s[69] - 2*s[70] - 2*s[76] + s[77] + 
       2*s[79] - (2*s[80])/3 + 6*s[82]) + F1[u, v, w]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*(s[2]/2 + 6*s[3] + 19*s[4] + (892*s[5])/11 + 
       (4967*s[6])/44 + (18897*s[7])/22 - (1829*s[8])/66 - (9263*s[9])/12 - 
       (2557*s[10])/12 - (84141*s[11])/88 - (90479*s[12])/88 - 
       (13907*s[13])/22 - (9995*s[14])/44 - (13141*s[15])/12 - 
       (61321*s[16])/44 - (94133*s[17])/88 - (4367*s[18])/18 - 
       (1349*s[19])/36 - (180602*s[20])/99 - (322877*s[21])/396 + 
       (90983*s[22])/198 + (88639*s[23])/88 + (677027*s[24])/792 - 
       (3956471*s[25])/3564 + (2650121*s[26])/3564 + 2*s[29] - s[30] + 
       3*s[31] + 2*s[32] + (9*s[33])/4 - 4*s[34] + s[36] + (29*s[37])/3 + 
       56*s[38] - (339*s[39])/2 + (367*s[40])/2 - (261*s[41])/2 + 
       (457*s[42])/2 + (3165*s[43])/22 - (6267*s[44])/44 + (4844*s[45])/33 - 
       (72979*s[46])/66 + (8629*s[47])/132 + (3283*s[48])/132 - 
       (83659*s[49])/132 + (8764*s[50])/11 + (20359*s[51])/132 + 
       (19109*s[52])/132 - (51514*s[53])/99 + (1765*s[54])/33 - 
       (147663*s[55])/44 - (374699*s[56])/396 + (982273*s[57])/594 - 
       (6913537*s[58])/3564 + (6739819*s[59])/3564 + (7126193*s[60])/792 - 
       (14768167*s[61])/32076 - s[66] - s[68] + s[69] - 2*s[70] + 2*s[77] + 
       2*s[79] - (2*s[80])/3 + 6*s[82]) + F1[u, v, w]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*(s[2] + 24*s[3] + (223*s[4])/2 + (103*s[5])/11 + 
       (5227*s[6])/44 + (145979*s[7])/132 - (41051*s[8])/297 - 
       (93757*s[9])/108 - (25259*s[10])/108 - (1021301*s[11])/792 - 
       (1226017*s[12])/792 - (382345*s[13])/396 + (10112*s[14])/99 - 
       (23377*s[15])/18 - (719311*s[16])/396 - (910961*s[17])/792 - 
       (22381*s[18])/162 - (78805*s[19])/324 - (1729729*s[20])/891 - 
       (1002641*s[21])/1782 + (2014211*s[22])/3564 + (1215217*s[23])/792 + 
       (9135145*s[24])/7128 - (57643207*s[25])/32076 + 
       (26386693*s[26])/32076 - s[29] + s[30] - 3*s[31] - 2*s[32] - 
       (3*s[33])/4 + 4*s[34] + s[36] + (29*s[37])/3 + 56*s[38] - 
       (339*s[39])/2 + (367*s[40])/2 - (261*s[41])/2 + (457*s[42])/2 + 
       (3165*s[43])/22 - (6267*s[44])/44 + (4844*s[45])/33 - 
       (72979*s[46])/66 + (8629*s[47])/132 + (3283*s[48])/132 - 
       (83659*s[49])/132 + (8764*s[50])/11 + (20359*s[51])/132 + 
       (19109*s[52])/132 - (51514*s[53])/99 + (1765*s[54])/33 - 
       (147663*s[55])/44 - (374699*s[56])/396 + (982273*s[57])/594 - 
       (6913537*s[58])/3564 + (6739819*s[59])/3564 + (7126193*s[60])/792 - 
       (14768167*s[61])/32076 - s[66] - s[68] + s[69] - 2*s[70] + 2*s[77] + 
       2*s[79] - (2*s[80])/3 + 6*s[82]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*(2*s[2] + 18*s[3] - 9*s[4] + 
       (751*s[5])/22 + (742*s[6])/11 + (27491*s[7])/132 + (10819*s[8])/396 - 
       (6979*s[9])/36 - (665*s[10])/9 - (14327*s[11])/66 - 
       (23219*s[12])/132 - (16505*s[13])/132 - (6535*s[14])/33 - 
       (928*s[15])/3 - (25027*s[16])/66 - (17995*s[17])/44 - 
       (4873*s[18])/54 + (2279*s[19])/108 - (657289*s[20])/1188 - 
       (369067*s[21])/1188 + (126353*s[22])/1188 + (13909*s[23])/132 + 
       (116251*s[24])/594 - (3926765*s[25])/21384 + (4563821*s[26])/21384 + 
       2*s[29] - s[30] + 3*s[31] + s[32]/2 + (9*s[33])/4 - 4*s[34] + s[36] + 
       (14*s[37])/3 - 2*s[38] - s[39]/2 + (13*s[40])/2 + (3*s[41])/2 + 
       (15*s[42])/2 - (189*s[43])/22 + (35*s[44])/44 - (529*s[45])/33 + 
       (7121*s[46])/66 + (545*s[47])/44 - (137*s[48])/44 + (2589*s[49])/44 - 
       (1399*s[50])/11 + (211*s[51])/44 + (493*s[52])/44 + (9782*s[53])/99 + 
       (2086*s[54])/33 + (83261*s[55])/132 + (13471*s[56])/396 + 
       (162362*s[57])/297 - (105775*s[58])/3564 - (174971*s[59])/3564 - 
       (938225*s[60])/792 + (1159619*s[61])/32076 - s[66] - s[68] + s[69] - 
       2*s[70] + 2*s[77] + 2*s[79] - (2*s[80])/3 + 6*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      ((-7*s[2])/2 - 8*s[3] + (15*s[4])/2 - (97*s[5])/2 - (107*s[6])/2 - 
       (1238*s[7])/3 - (2593*s[8])/108 + (40949*s[9])/108 + (5227*s[10])/27 + 
       (14377*s[11])/36 + (10751*s[12])/36 + (3041*s[13])/18 + 
       (9277*s[14])/36 + (27097*s[15])/36 + (14141*s[16])/18 + 
       (16013*s[17])/18 + (7324*s[18])/81 + (30269*s[19])/324 + 
       (330745*s[20])/324 + (37708*s[21])/81 - (17204*s[22])/81 + 
       (1525*s[23])/36 - (42479*s[24])/81 + (2284241*s[25])/5832 - 
       (1930937*s[26])/5832 - s[29] + s[30] - 3*s[31] - (3*s[32])/2 - 
       (3*s[33])/4 + 4*s[34] + s[36] + (14*s[37])/3 - 2*s[38] - s[39]/2 + 
       (13*s[40])/2 + (3*s[41])/2 + (15*s[42])/2 - (189*s[43])/22 + 
       (35*s[44])/44 - (529*s[45])/33 + (7121*s[46])/66 + (545*s[47])/44 - 
       (137*s[48])/44 + (2589*s[49])/44 - (1399*s[50])/11 + (211*s[51])/44 + 
       (493*s[52])/44 + (9782*s[53])/99 + (2086*s[54])/33 + 
       (83261*s[55])/132 + (13471*s[56])/396 + (162362*s[57])/297 - 
       (105775*s[58])/3564 - (174971*s[59])/3564 - (938225*s[60])/792 + 
       (1159619*s[61])/32076 - s[66] - s[68] + s[69] - 2*s[70] + 2*s[77] + 
       2*s[79] - (2*s[80])/3 + 6*s[82]) + F1[w, u, v]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*(-8*s[3] + (49*s[4])/2 + (145*s[5])/4 + 
       (209*s[6])/4 + (14875*s[7])/24 - (122*s[8])/3 - (6437*s[9])/12 - 
       (2179*s[10])/12 - (5527*s[11])/8 - 753*s[12] - (10787*s[13])/24 - 
       (687*s[14])/8 - (6651*s[15])/8 - (12613*s[16])/12 - (19489*s[17])/24 - 
       (383*s[18])/4 - (379*s[19])/3 - 1257*s[20] - (33325*s[21])/72 + 
       (23851*s[22])/72 + (6713*s[23])/12 + (26693*s[24])/36 - 
       (559789*s[25])/648 + (310777*s[26])/648 - s[32] + s[37] + 32*s[38] - 
       (181*s[39])/2 + (189*s[40])/2 - 68*s[41] + 113*s[42] + 
       (1957*s[43])/22 - (943*s[44])/11 + (1943*s[45])/22 - (7520*s[46])/11 + 
       (2077*s[47])/132 + (4915*s[48])/132 - (55291*s[49])/132 + 
       (5807*s[50])/11 + (9353*s[51])/132 + (4063*s[52])/66 - 
       (11698*s[53])/33 - (973*s[54])/22 - (100789*s[55])/44 - 
       (69253*s[56])/132 + (174553*s[57])/396 - (1199405*s[58])/1188 + 
       (1257059*s[59])/1188 + (4672051*s[60])/792 - (1429561*s[61])/5346 + 
       9*s[82]) + F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      (-3*s[2] + 12*s[3] + (87*s[4])/2 + (1015*s[5])/44 + (2837*s[6])/44 + 
       (52247*s[7])/88 - (4369*s[8])/99 - (17495*s[9])/36 - (5851*s[10])/36 - 
       (177121*s[11])/264 - (97855*s[12])/132 - (121489*s[13])/264 - 
       (8683*s[14])/264 - (19021*s[15])/24 - (132959*s[16])/132 - 
       (200857*s[17])/264 - (4703*s[18])/54 - (3758*s[19])/27 - 
       (335432*s[20])/297 - (928813*s[21])/2376 + (722663*s[22])/2376 + 
       (85423*s[23])/132 + (209284*s[24])/297 - (18806401*s[25])/21384 + 
       (9755173*s[26])/21384 + s[32]/2 + s[37] + 32*s[38] - (181*s[39])/2 + 
       (189*s[40])/2 - 68*s[41] + 113*s[42] + (1957*s[43])/22 - 
       (943*s[44])/11 + (1943*s[45])/22 - (7520*s[46])/11 + 
       (2077*s[47])/132 + (4915*s[48])/132 - (55291*s[49])/132 + 
       (5807*s[50])/11 + (9353*s[51])/132 + (4063*s[52])/66 - 
       (11698*s[53])/33 - (973*s[54])/22 - (100789*s[55])/44 - 
       (69253*s[56])/132 + (174553*s[57])/396 - (1199405*s[58])/1188 + 
       (1257059*s[59])/1188 + (4672051*s[60])/792 - (1429561*s[61])/5346 + 
       9*s[82]) + H1[w, u, v]*HPL[{0, 1}, 1 - w]*((9*s[2])/4 - 3*s[3] - 
       (181*s[4])/8 - (513*s[5])/88 - (481*s[6])/44 - (129449*s[7])/528 + 
       (2393*s[8])/99 + (14639*s[9])/72 + (4747*s[10])/72 + 
       (151717*s[11])/528 + (44195*s[12])/132 + (110063*s[13])/528 - 
       (18203*s[14])/528 + (14677*s[15])/48 + (106987*s[16])/264 + 
       (47943*s[17])/176 + (3241*s[18])/216 + (17885*s[19])/216 + 
       (1001051*s[20])/2376 + (567361*s[21])/4752 - (614975*s[22])/4752 - 
       (17183*s[23])/66 - (93263*s[24])/297 + (16955773*s[25])/42768 - 
       (7439173*s[26])/42768 + s[32] + 3*s[33] + 3*s[36] - (3*s[37])/4 - 
       21*s[38] + 52*s[39] - (103*s[40])/2 + 41*s[41] - (249*s[42])/4 - 
       (536*s[43])/11 + (1809*s[44])/44 - (351*s[45])/11 + (6101*s[46])/22 - 
       (339*s[47])/22 - (295*s[48])/22 + (10009*s[49])/44 - (5213*s[50])/22 - 
       (6145*s[51])/132 - (400*s[52])/11 + (9311*s[53])/66 + 
       (1075*s[54])/22 + (37299*s[55])/44 + (19331*s[56])/132 - 
       (29306*s[57])/99 + (126508*s[58])/297 - (268865*s[59])/594 - 
       (225437*s[60])/88 + (881959*s[61])/10692 - 3*s[68] - s[69] + 4*s[73] + 
       9*s[82]) + H1[w, u, v]*HPL[{0, 1}, 1 - v]*((3*s[2])/4 - (147*s[4])/8 - 
       (755*s[5])/88 - (547*s[6])/44 - (129823*s[7])/528 + (1247*s[8])/66 + 
       (5035*s[9])/24 + (1607*s[10])/24 + (50697*s[11])/176 + 
       (14453*s[12])/44 + (108017*s[13])/528 - (3259*s[14])/176 + 
       (5025*s[15])/16 + (107053*s[16])/264 + (147811*s[17])/528 + 
       (413*s[18])/24 + (665*s[19])/8 + (117493*s[20])/264 + 
       (203017*s[21])/1584 - (210235*s[22])/1584 - (7321*s[23])/33 - 
       (126283*s[24])/396 + (5529685*s[25])/14256 - (2500969*s[26])/14256 + 
       (3*s[32])/2 + 3*s[33] + 3*s[36] - (3*s[37])/4 - 21*s[38] + 52*s[39] - 
       (103*s[40])/2 + 41*s[41] - (249*s[42])/4 - (536*s[43])/11 + 
       (1809*s[44])/44 - (351*s[45])/11 + (6101*s[46])/22 - (339*s[47])/22 - 
       (295*s[48])/22 + (10009*s[49])/44 - (5213*s[50])/22 - 
       (6145*s[51])/132 - (400*s[52])/11 + (9311*s[53])/66 + 
       (1075*s[54])/22 + (37299*s[55])/44 + (19331*s[56])/132 - 
       (29306*s[57])/99 + (126508*s[58])/297 - (268865*s[59])/594 - 
       (225437*s[60])/88 + (881959*s[61])/10692 - 3*s[68] - s[69] + 4*s[73] + 
       9*s[82]) + H1[v, w, u]*HPL[{0, 1}, 1 - w]*((-3*s[2])/4 + 33*s[3] + 
       (647*s[4])/8 + (2547*s[5])/88 + (5059*s[6])/44 + (152465*s[7])/176 - 
       (7889*s[8])/99 - (49853*s[9])/72 - (13489*s[10])/72 - 
       (526183*s[11])/528 - (150545*s[12])/132 - (380005*s[13])/528 + 
       (2489*s[14])/528 - (17533*s[15])/16 - (382529*s[16])/264 - 
       (538807*s[17])/528 - (31111*s[18])/216 - (34655*s[19])/216 - 
       (3752777*s[20])/2376 - (2584891*s[21])/4752 + (2076869*s[22])/4752 + 
       (40823*s[23])/33 + (286922*s[24])/297 - (57296455*s[25])/42768 + 
       (29149855*s[26])/42768 - s[33] - s[36] + (25*s[37])/4 + 45*s[38] - 
       145*s[39] + (315*s[40])/2 - 110*s[41] + (783*s[42])/4 + 
       (1385*s[43])/11 - (5553*s[44])/44 + (1503*s[45])/11 - 
       (21885*s[46])/22 + (1759*s[47])/33 + (604*s[48])/33 - 
       (73699*s[49])/132 + (15759*s[50])/22 + (5623*s[51])/44 + 
       (8005*s[52])/66 - (31997*s[53])/66 + (1035*s[54])/22 - 
       (411805*s[55])/132 - (113239*s[56])/132 + (125386*s[57])/99 - 
       (995773*s[58])/594 + (493103*s[59])/297 + (6384805*s[60])/792 - 
       (4529177*s[61])/10692 + s[68] + s[69] - 2*s[76] + 9*s[82]) + 
     H1[u, v, w]*HPL[{0, 1}, 1 - v]*((-9*s[2])/4 - 4*s[3] + (233*s[4])/8 + 
       (5209*s[5])/88 + (4245*s[6])/44 + (476029*s[7])/528 - 
       (12907*s[8])/198 - (56603*s[9])/72 - (16567*s[10])/72 - 
       (531793*s[11])/528 - (147641*s[12])/132 - (117905*s[13])/176 - 
       (85885*s[14])/528 - (53977*s[15])/48 - (129805*s[16])/88 - 
       (571433*s[17])/528 - (42355*s[18])/216 - (21521*s[19])/216 - 
       (4391855*s[20])/2376 - (3407713*s[21])/4752 + (2296451*s[22])/4752 + 
       (21191*s[23])/22 + (1147391*s[24])/1188 - (53082949*s[25])/42768 + 
       (31031977*s[26])/42768 - s[32]/2 - s[33] - s[36] + (25*s[37])/4 + 
       45*s[38] - 145*s[39] + (315*s[40])/2 - 110*s[41] + (783*s[42])/4 + 
       (1385*s[43])/11 - (5553*s[44])/44 + (1503*s[45])/11 - 
       (21885*s[46])/22 + (1759*s[47])/33 + (604*s[48])/33 - 
       (73699*s[49])/132 + (15759*s[50])/22 + (5623*s[51])/44 + 
       (8005*s[52])/66 - (31997*s[53])/66 + (1035*s[54])/22 - 
       (411805*s[55])/132 - (113239*s[56])/132 + (125386*s[57])/99 - 
       (995773*s[58])/594 + (493103*s[59])/297 + (6384805*s[60])/792 - 
       (4529177*s[61])/10692 + s[68] + s[69] - 2*s[76] + 9*s[82]) + 
     F1[u, v, w]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*(5*s[2] + 14*s[3] - 
       (169*s[4])/4 + (575*s[5])/44 + (967*s[6])/44 - (36199*s[7])/264 + 
       (43075*s[8])/594 + (5387*s[9])/54 - (3659*s[10])/54 + 
       (84223*s[11])/396 + (309139*s[12])/792 + (187271*s[13])/792 - 
       (209485*s[14])/792 - (2069*s[15])/72 + (8584*s[16])/99 - 
       (111365*s[17])/396 + (7973*s[18])/324 - (1103*s[19])/81 + 
       (88849*s[20])/3564 - (477517*s[21])/7128 - (553807*s[22])/7128 - 
       (641131*s[23])/792 - (340135*s[24])/7128 + (25294319*s[25])/64152 - 
       (6544079*s[26])/64152 + s[29] - s[30] + 3*s[31] + (3*s[33])/4 - 
       4*s[34] - s[36] - (37*s[37])/6 - 45*s[38] + (285*s[39])/2 - 
       (303*s[40])/2 + (223*s[41])/2 - 192*s[42] - (2699*s[43])/22 + 
       (1277*s[44])/11 - (4490*s[45])/33 + (65557*s[46])/66 - 
       (7279*s[47])/132 - (745*s[48])/132 + (71491*s[49])/132 - 
       (16387*s[50])/22 - (17687*s[51])/132 - (3974*s[52])/33 + 
       (49726*s[53])/99 - (1240*s[54])/33 + (424945*s[55])/132 + 
       (330839*s[56])/396 - (324782*s[57])/297 + (5788873*s[58])/3564 - 
       (5791411*s[59])/3564 - (6470369*s[60])/792 + (6670817*s[61])/16038 + 
       s[66] + s[68] - s[69] + 2*s[70] - 2*s[77] - 2*s[79] + (2*s[80])/3 + 
       9*s[82]) + F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-13*s[2])/2 - 34*s[3] - (285*s[4])/4 - (4391*s[5])/44 - 
       (9111*s[6])/44 - (144549*s[7])/88 + (14387*s[8])/198 + 
       (12572*s[9])/9 + (9119*s[10])/18 + (234461*s[11])/132 + 
       (484193*s[12])/264 + (294301*s[13])/264 + (108613*s[14])/264 + 
       (18595*s[15])/8 + (94142*s[16])/33 + (323267*s[17])/132 + 
       (33385*s[18])/108 + (8120*s[19])/27 + (4082333*s[20])/1188 + 
       (3152725*s[21])/2376 - (2012693*s[22])/2376 - (347189*s[23])/264 - 
       (4545809*s[24])/2376 + (46315165*s[25])/21384 - 
       (27553441*s[26])/21384 - 2*s[29] + s[30] - 3*s[31] - (9*s[33])/4 + 
       4*s[34] - s[36] - (37*s[37])/6 - 45*s[38] + (285*s[39])/2 - 
       (303*s[40])/2 + (223*s[41])/2 - 192*s[42] - (2699*s[43])/22 + 
       (1277*s[44])/11 - (4490*s[45])/33 + (65557*s[46])/66 - 
       (7279*s[47])/132 - (745*s[48])/132 + (71491*s[49])/132 - 
       (16387*s[50])/22 - (17687*s[51])/132 - (3974*s[52])/33 + 
       (49726*s[53])/99 - (1240*s[54])/33 + (424945*s[55])/132 + 
       (330839*s[56])/396 - (324782*s[57])/297 + (5788873*s[58])/3564 - 
       (5791411*s[59])/3564 - (6470369*s[60])/792 + (6670817*s[61])/16038 + 
       s[66] + s[68] - s[69] + 2*s[70] - 2*s[77] - 2*s[79] + (2*s[80])/3 + 
       9*s[82]) + F1[u, v, w]*HPL[{0, 0, 1}, 1 - v]*((15*s[2])/2 + 12*s[3] + 
       (119*s[4])/4 + (11283*s[5])/88 + (18833*s[6])/88 + (34495*s[7])/22 - 
       (51643*s[8])/2376 - (302891*s[9])/216 - (108913*s[10])/216 - 
       (1335407*s[11])/792 - (1333489*s[12])/792 - (409705*s[13])/396 - 
       (56509*s[14])/99 - (160621*s[15])/72 - (1076215*s[16])/396 - 
       (946819*s[17])/396 - (228955*s[18])/648 - (31493*s[19])/162 - 
       (12340879*s[20])/3564 - (10463939*s[21])/7128 + (2982851*s[22])/3564 + 
       (229993*s[23])/198 + (6293585*s[24])/3564 - (247687303*s[25])/128304 + 
       (165222643*s[26])/128304 + 4*s[29] - 2*s[30] + 5*s[31] + 3*s[32] + 
       (3*s[33])/2 - 8*s[34] + 3*s[35] - s[36]/6 + (133*s[37])/12 + 
       49*s[38] - (1297*s[39])/8 + (4423*s[40])/24 - (1109*s[41])/8 + 
       (5435*s[42])/24 + (38285*s[43])/264 - (82351*s[44])/528 + 
       (31601*s[45])/264 - (139445*s[46])/132 + (70817*s[47])/1584 + 
       (72731*s[48])/1584 - (1029179*s[49])/1584 + (26041*s[50])/33 + 
       (237475*s[51])/1584 + (200677*s[52])/1584 - (200197*s[53])/396 + 
       (317*s[54])/66 - (1705537*s[55])/528 - (152557*s[56])/176 + 
       (615821*s[57])/396 - (8568347*s[58])/4752 + (8523803*s[59])/4752 + 
       (83356355*s[60])/9504 - (708149*s[61])/1782 - s[66] - s[68] - s[76] + 
       2*s[77] + 24*s[79] - (53*s[80])/6 + 18*s[82]) + 
     F1[u, v, w]*HPL[{0, 0, 1}, 1 - w]*(-4*s[2] - (27*s[3])/4 + 
       (871*s[4])/8 - (1489*s[5])/22 - (519*s[6])/88 + (462485*s[7])/1584 - 
       (324383*s[8])/2376 - (17657*s[9])/108 + (7469*s[10])/108 - 
       (701849*s[11])/1584 - (299791*s[12])/396 - (262085*s[13])/528 + 
       (791767*s[14])/1584 - (967*s[15])/16 - (88235*s[16])/264 + 
       (492125*s[17])/1584 + (15323*s[18])/324 - (65293*s[19])/648 - 
       (509923*s[20])/7128 + (3385357*s[21])/14256 + (2254327*s[22])/14256 + 
       (338189*s[23])/264 + (2210501*s[24])/7128 - (13771399*s[25])/16038 + 
       (4978835*s[26])/32076 - 2*s[29] + s[30] - 6*s[31] - (3*s[33])/2 + 
       8*s[34] + 3*s[35] - s[36]/6 + (133*s[37])/12 + 49*s[38] - 
       (1297*s[39])/8 + (4423*s[40])/24 - (1109*s[41])/8 + (5435*s[42])/24 + 
       (38285*s[43])/264 - (82351*s[44])/528 + (31601*s[45])/264 - 
       (139445*s[46])/132 + (70817*s[47])/1584 + (72731*s[48])/1584 - 
       (1029179*s[49])/1584 + (26041*s[50])/33 + (237475*s[51])/1584 + 
       (200677*s[52])/1584 - (200197*s[53])/396 + (317*s[54])/66 - 
       (1705537*s[55])/528 - (152557*s[56])/176 + (615821*s[57])/396 - 
       (8568347*s[58])/4752 + (8523803*s[59])/4752 + (83356355*s[60])/9504 - 
       (708149*s[61])/1782 - s[66] - s[68] - s[76] + 2*s[77] + 24*s[79] - 
       (53*s[80])/6 + 18*s[82]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*((-3*s[2])/2 + 25*s[3] - 46*s[4] + 
       (87*s[5])/11 + (335*s[6])/44 - (3140*s[7])/11 + (6698*s[8])/99 + 
       (2098*s[9])/9 + (455*s[10])/36 + (48865*s[11])/132 + 
       (134707*s[12])/264 + (83471*s[13])/264 - (58621*s[14])/264 + 
       251*s[15] + (108557*s[16])/264 + (11185*s[17])/132 + 
       (1391*s[18])/108 + (3281*s[19])/54 + (377689*s[20])/1188 + 
       (92837*s[21])/2376 - (394627*s[22])/2376 - (92891*s[23])/132 - 
       (169567*s[24])/594 + (12218405*s[25])/21384 - (4068851*s[26])/21384 + 
       2*s[29] - s[30] + s[31] - s[32] + s[33] + s[35] + 6*s[36] - 
       (17*s[37])/3 - (79*s[38])/2 + 134*s[39] - 127*s[40] + (399*s[41])/4 - 
       (753*s[42])/4 - 74*s[43] + (711*s[44])/8 - (215*s[45])/6 + 
       (1699*s[46])/3 - (639*s[47])/8 + (573*s[48])/8 + (3293*s[49])/8 - 
       (1799*s[50])/4 - (2879*s[51])/24 - (813*s[52])/8 + (10289*s[53])/36 + 
       (721*s[54])/12 + (38357*s[55])/24 + (26075*s[56])/72 - 
       (36271*s[57])/27 + (691207*s[58])/648 - (711133*s[59])/648 - 
       (629437*s[60])/144 + (506153*s[61])/2916 + s[65]/2 + 2*s[66] - 
       2*s[67] - 2*s[68] - 4*s[69] - s[71]/2 - 2*s[72] + 2*s[73] + 
       (3*s[74])/2 - (3*s[75])/2 + 2*s[76] - s[77] - 6*s[78] - 4*s[79] + 
       (5*s[80])/3 + 40*s[82]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*((-7*s[2])/2 - 5*s[3] - (223*s[4])/4 - 
       (735*s[5])/22 - (631*s[6])/11 - (178817*s[7])/264 + (30619*s[8])/594 + 
       (61255*s[9])/108 + (18233*s[10])/108 + (598745*s[11])/792 + 
       (658699*s[12])/792 + (49261*s[13])/99 - (332*s[14])/99 + 
       (65815*s[15])/72 + (909035*s[16])/792 + (689261*s[17])/792 + 
       (44711*s[18])/324 + (8815*s[19])/81 + (4496095*s[20])/3564 + 
       (1700071*s[21])/3564 - (632779*s[22])/1782 - (194695*s[23])/198 - 
       (1253983*s[24])/1782 + (7742593*s[25])/8019 - (16528459*s[26])/32076 - 
       2*s[31] - (5*s[32])/2 - (5*s[33])/4 + 4*s[34] + s[35] + 6*s[36] - 
       (17*s[37])/3 - (79*s[38])/2 + 134*s[39] - 127*s[40] + (399*s[41])/4 - 
       (753*s[42])/4 - 74*s[43] + (711*s[44])/8 - (215*s[45])/6 + 
       (1699*s[46])/3 - (639*s[47])/8 + (573*s[48])/8 + (3293*s[49])/8 - 
       (1799*s[50])/4 - (2879*s[51])/24 - (813*s[52])/8 + (10289*s[53])/36 + 
       (721*s[54])/12 + (38357*s[55])/24 + (26075*s[56])/72 - 
       (36271*s[57])/27 + (691207*s[58])/648 - (711133*s[59])/648 - 
       (629437*s[60])/144 + (506153*s[61])/2916 + s[65]/2 + 2*s[66] - 
       2*s[67] - 2*s[68] - 4*s[69] - s[71]/2 - 2*s[72] + 2*s[73] + 
       (3*s[74])/2 - (3*s[75])/2 + 2*s[76] - s[77] - 6*s[78] - 4*s[79] + 
       (5*s[80])/3 + 40*s[82]) + A10[v, w, u]*HPL[{1}, 1 - v]*
      ((3*s[2])/2 - (111*s[3])/4 - (1937*s[4])/8 - (1053*s[5])/22 - 
       (23511*s[6])/88 - (1235743*s[7])/528 + (29507*s[8])/88 + 
       (7321*s[9])/4 + (1733*s[10])/4 + (474039*s[11])/176 + 
       (140863*s[12])/44 + (1021187*s[13])/528 - (51489*s[14])/176 + 
       (45071*s[15])/16 + (127775*s[16])/33 + (1323895*s[17])/528 + 
       (14975*s[18])/36 + (24959*s[19])/72 + (3210995*s[20])/792 + 
       (2069081*s[21])/1584 - (629863*s[22])/528 - (138376*s[23])/33 - 
       (309433*s[24])/132 + (3308978*s[25])/891 - (1587125*s[26])/891 + 
       6*s[29] - 3*s[30] + 2*s[31] + (3*s[33])/2 - s[34] + 3*s[35] + 
       19*s[36] - 13*s[37] - 112*s[38] + 529*s[39] - 560*s[40] + 420*s[41] - 
       (1563*s[42])/2 - (4201*s[43])/11 + (40333*s[44])/88 - 
       (4286*s[45])/11 + (38228*s[46])/11 - (65035*s[47])/264 + 
       (26309*s[48])/264 + (502489*s[49])/264 - (28818*s[50])/11 - 
       (127799*s[51])/264 - (106325*s[52])/264 + (242887*s[53])/132 - 
       (617*s[54])/22 + (2968423*s[55])/264 + (261785*s[56])/88 - 
       (607603*s[57])/132 + (1524989*s[58])/264 - (516695*s[59])/88 - 
       (43025143*s[60])/1584 + (5311399*s[61])/3564 + 2*s[65] + 4*s[66] - 
       6*s[67] - 4*s[68] - 10*s[69] - 3*s[71] - 6*s[72] + 6*s[73] + 
       (11*s[74])/2 - (11*s[75])/2 + 4*s[76] + 3*s[77] - 14*s[78] + 8*s[80] - 
       72*s[82] - 6*s[83]) + A10[w, u, v]*HPL[{1}, 1 - w]*
      ((-21*s[2])/2 - (31*s[3])/4 - (1375*s[4])/8 - (5231*s[5])/22 - 
       (36941*s[6])/88 - (2014567*s[7])/528 + (23805*s[8])/88 + 
       (6531*s[9])/2 + (4187*s[10])/4 + (733679*s[11])/176 + 
       (196147*s[12])/44 + (1389923*s[13])/528 + (118763*s[14])/176 + 
       (250265*s[15])/48 + (863849*s[16])/132 + (2784043*s[17])/528 + 
       (13753*s[18])/18 + (38075*s[19])/72 + (6191303*s[20])/792 + 
       (4786061*s[21])/1584 - (354209*s[22])/176 - (554047*s[23])/132 - 
       (45215*s[24])/11 + (36693295*s[25])/7128 - (21372775*s[26])/7128 - 
       6*s[31] + s[32] - (15*s[33])/4 + 12*s[34] + 3*s[35] + 19*s[36] - 
       13*s[37] - 112*s[38] + 529*s[39] - 560*s[40] + 420*s[41] - 
       (1563*s[42])/2 - (4201*s[43])/11 + (40333*s[44])/88 - 
       (4286*s[45])/11 + (38228*s[46])/11 - (65035*s[47])/264 + 
       (26309*s[48])/264 + (502489*s[49])/264 - (28818*s[50])/11 - 
       (127799*s[51])/264 - (106325*s[52])/264 + (242887*s[53])/132 - 
       (617*s[54])/22 + (2968423*s[55])/264 + (261785*s[56])/88 - 
       (607603*s[57])/132 + (1524989*s[58])/264 - (516695*s[59])/88 - 
       (43025143*s[60])/1584 + (5311399*s[61])/3564 + 2*s[65] + 4*s[66] - 
       6*s[67] - 4*s[68] - 10*s[69] - 3*s[71] - 6*s[72] + 6*s[73] + 
       (11*s[74])/2 - (11*s[75])/2 + 4*s[76] + 3*s[77] - 14*s[78] + 8*s[80] - 
       72*s[82] - 6*s[83]) + G[u, v, w]*HPL[{0, 1}, 1 - v]*
      ((33*s[2])/4 + (397*s[3])/8 + (1183*s[4])/16 + (23179*s[5])/88 + 
       (89227*s[6])/176 + (3265789*s[7])/1056 - (157879*s[8])/1584 - 
       (48703*s[9])/18 - (7369*s[10])/9 - (3581023*s[11])/1056 - 
       (469861*s[12])/132 - (779351*s[13])/352 - (1096291*s[14])/1056 - 
       (393491*s[15])/96 - (453385*s[16])/88 - (4404737*s[17])/1056 - 
       (42545*s[18])/54 - (93731*s[19])/432 - (31944323*s[20])/4752 - 
       (27313393*s[21])/9504 + (15340217*s[22])/9504 + (259361*s[23])/88 + 
       (3955645*s[24])/1188 - (170763269*s[25])/42768 + 
       (113255717*s[26])/42768 + 5*s[29] - (9*s[30])/2 + 6*s[31] + 10*s[32] + 
       s[33]/2 - (9*s[34])/2 + (5*s[35])/2 + (25*s[36])/2 + (277*s[37])/12 + 
       111*s[38] - (1259*s[39])/4 + (1449*s[40])/4 - (899*s[41])/4 + 
       (815*s[42])/2 + (14441*s[43])/44 - (48495*s[44])/176 + 
       (100217*s[45])/264 - (642953*s[46])/264 + (18107*s[47])/176 + 
       (19999*s[48])/176 - (200137*s[49])/176 + (64379*s[50])/44 + 
       (47579*s[51])/176 + (55689*s[52])/176 - (104966*s[53])/99 + 
       (65255*s[54])/132 - (3833309*s[55])/528 - (3946951*s[56])/1584 + 
       (8621885*s[57])/2376 - (63060875*s[58])/14256 + 
       (59874497*s[59])/14256 + (59443127*s[60])/3168 - 
       (147229535*s[61])/128304 + (3*s[65])/2 + 4*s[66] - 5*s[67] - s[68] - 
       11*s[69] - (3*s[71])/2 - 5*s[72] + 21*s[73] + (15*s[74])/4 - 
       (15*s[75])/4 + 4*s[76] + (33*s[77])/2 - 13*s[78] - 8*s[79] + 
       (31*s[80])/6 - 36*s[82] - 3*s[83]) + G[u, v, w]*HPL[{0, 1}, 1 - w]*
      ((-9*s[2])/4 + (521*s[3])/8 + (2493*s[4])/16 + (270*s[5])/11 + 
       (43891*s[6])/176 + (432127*s[7])/352 - (890173*s[8])/4752 - 
       (97973*s[9])/108 - (7769*s[10])/216 - (4839409*s[11])/3168 - 
       (1587395*s[12])/792 - (4152727*s[13])/3168 + (679955*s[14])/3168 - 
       (309761*s[15])/288 - (703091*s[16])/396 - (2046559*s[17])/3168 - 
       (24262*s[18])/81 - (31265*s[19])/1296 - (28442273*s[20])/14256 - 
       (19419811*s[21])/28512 + (16946447*s[22])/28512 + 
       (1156435*s[23])/396 + (8171417*s[24])/7128 - (280670987*s[25])/
        128304 + (139042559*s[26])/128304 - s[29] + 2*s[30] - 8*s[31] + 
       (11*s[32])/2 - (53*s[33])/8 + 14*s[34] + (5*s[35])/2 + (25*s[36])/2 + 
       (277*s[37])/12 + 111*s[38] - (1259*s[39])/4 + (1449*s[40])/4 - 
       (899*s[41])/4 + (815*s[42])/2 + (14441*s[43])/44 - (48495*s[44])/176 + 
       (100217*s[45])/264 - (642953*s[46])/264 + (18107*s[47])/176 + 
       (19999*s[48])/176 - (200137*s[49])/176 + (64379*s[50])/44 + 
       (47579*s[51])/176 + (55689*s[52])/176 - (104966*s[53])/99 + 
       (65255*s[54])/132 - (3833309*s[55])/528 - (3946951*s[56])/1584 + 
       (8621885*s[57])/2376 - (63060875*s[58])/14256 + 
       (59874497*s[59])/14256 + (59443127*s[60])/3168 - 
       (147229535*s[61])/128304 + (3*s[65])/2 + 4*s[66] - 5*s[67] - s[68] - 
       11*s[69] - (3*s[71])/2 - 5*s[72] + 21*s[73] + (15*s[74])/4 - 
       (15*s[75])/4 + 4*s[76] + (33*s[77])/2 - 13*s[78] - 8*s[79] + 
       (31*s[80])/6 - 36*s[82] - 3*s[83]) + A10[w, u, v]*HPL[{1}, 1 - v]*
      ((21*s[2])/2 + (31*s[3])/4 + (1375*s[4])/8 + (5231*s[5])/22 + 
       (36941*s[6])/88 + (2014567*s[7])/528 - (23805*s[8])/88 - 
       (6531*s[9])/2 - (4187*s[10])/4 - (733679*s[11])/176 - 
       (196147*s[12])/44 - (1389923*s[13])/528 - (118763*s[14])/176 - 
       (250265*s[15])/48 - (863849*s[16])/132 - (2784043*s[17])/528 - 
       (13753*s[18])/18 - (38075*s[19])/72 - (6191303*s[20])/792 - 
       (4786061*s[21])/1584 + (354209*s[22])/176 + (554047*s[23])/132 + 
       (45215*s[24])/11 - (36693295*s[25])/7128 + (21372775*s[26])/7128 + 
       6*s[31] - s[32] + (15*s[33])/4 - 12*s[34] - 3*s[35] - 19*s[36] + 
       13*s[37] + 112*s[38] - 529*s[39] + 560*s[40] - 420*s[41] + 
       (1563*s[42])/2 + (4201*s[43])/11 - (40333*s[44])/88 + 
       (4286*s[45])/11 - (38228*s[46])/11 + (65035*s[47])/264 - 
       (26309*s[48])/264 - (502489*s[49])/264 + (28818*s[50])/11 + 
       (127799*s[51])/264 + (106325*s[52])/264 - (242887*s[53])/132 + 
       (617*s[54])/22 - (2968423*s[55])/264 - (261785*s[56])/88 + 
       (607603*s[57])/132 - (1524989*s[58])/264 + (516695*s[59])/88 + 
       (43025143*s[60])/1584 - (5311399*s[61])/3564 - 2*s[65] - 4*s[66] + 
       6*s[67] + 4*s[68] + 10*s[69] + 3*s[71] + 6*s[72] - 6*s[73] - 
       (11*s[74])/2 + (11*s[75])/2 - 4*s[76] - 3*s[77] + 14*s[78] - 8*s[80] + 
       72*s[82] + 6*s[83]) + A10[v, w, u]*HPL[{1}, 1 - w]*
      ((-3*s[2])/2 + (111*s[3])/4 + (1937*s[4])/8 + (1053*s[5])/22 + 
       (23511*s[6])/88 + (1235743*s[7])/528 - (29507*s[8])/88 - 
       (7321*s[9])/4 - (1733*s[10])/4 - (474039*s[11])/176 - 
       (140863*s[12])/44 - (1021187*s[13])/528 + (51489*s[14])/176 - 
       (45071*s[15])/16 - (127775*s[16])/33 - (1323895*s[17])/528 - 
       (14975*s[18])/36 - (24959*s[19])/72 - (3210995*s[20])/792 - 
       (2069081*s[21])/1584 + (629863*s[22])/528 + (138376*s[23])/33 + 
       (309433*s[24])/132 - (3308978*s[25])/891 + (1587125*s[26])/891 - 
       6*s[29] + 3*s[30] - 2*s[31] - (3*s[33])/2 + s[34] - 3*s[35] - 
       19*s[36] + 13*s[37] + 112*s[38] - 529*s[39] + 560*s[40] - 420*s[41] + 
       (1563*s[42])/2 + (4201*s[43])/11 - (40333*s[44])/88 + 
       (4286*s[45])/11 - (38228*s[46])/11 + (65035*s[47])/264 - 
       (26309*s[48])/264 - (502489*s[49])/264 + (28818*s[50])/11 + 
       (127799*s[51])/264 + (106325*s[52])/264 - (242887*s[53])/132 + 
       (617*s[54])/22 - (2968423*s[55])/264 - (261785*s[56])/88 + 
       (607603*s[57])/132 - (1524989*s[58])/264 + (516695*s[59])/88 + 
       (43025143*s[60])/1584 - (5311399*s[61])/3564 - 2*s[65] - 4*s[66] + 
       6*s[67] + 4*s[68] + 10*s[69] + 3*s[71] + 6*s[72] - 6*s[73] - 
       (11*s[74])/2 + (11*s[75])/2 - 4*s[76] - 3*s[77] + 14*s[78] - 8*s[80] + 
       72*s[82] + 6*s[83]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*K1[w, u, v]*
      ((-7*s[2])/2 - (25*s[3])/4 - (785*s[4])/8 - (4575*s[5])/44 - 
       (18345*s[6])/88 - (974243*s[7])/528 + (108935*s[8])/792 + 
       (56567*s[9])/36 + (4261*s[10])/9 + (1076633*s[11])/528 + 
       (147149*s[12])/66 + (235009*s[13])/176 + (140141*s[14])/528 + 
       (116225*s[15])/48 + (136665*s[16])/44 + (1260547*s[17])/528 + 
       (10177*s[18])/27 + (51979*s[19])/216 + (8791891*s[20])/2376 + 
       (6665567*s[21])/4752 - (4623871*s[22])/4752 - (24102*s[23])/11 - 
       (2318227*s[24])/1188 + (27365177*s[25])/10692 - 
       (15505877*s[26])/10692 - 2*s[31] - s[32]/2 + (3*s[33])/4 + 4*s[34] + 
       11*s[36] - 13*s[37] - 72*s[38] + (1013*s[39])/4 - (1097*s[40])/4 + 
       (801*s[41])/4 - (1401*s[42])/4 - (9531*s[43])/44 + (19849*s[44])/88 - 
       (6489*s[45])/22 + (90075*s[46])/44 - (24419*s[47])/264 - 
       (4817*s[48])/264 + (262193*s[49])/264 - (33401*s[50])/22 - 
       (61409*s[51])/264 - (54355*s[52])/264 + (23429*s[53])/22 + 
       (213*s[54])/22 + (603359*s[55])/88 + (496819*s[56])/264 - 
       (205811*s[57])/99 + (7879541*s[58])/2376 - (7887875*s[59])/2376 - 
       (26116007*s[60])/1584 + (19835597*s[61])/21384 + 2*s[68] - 2*s[70] + 
       s[74] - s[75] + 6*s[76] + 2*s[77] - 6*s[78] - 6*s[79] - 2*s[80] - 
       12*s[82] - (3*s[83])/2 - 3*s[84]) + G[u, v, w]*HPL[{1}, 1 - w]^2*
      (3*s[2] + (7*s[3])/8 - (715*s[4])/16 - (349*s[5])/44 - 
       (7869*s[6])/176 - (501031*s[7])/1056 + (269393*s[8])/4752 + 
       (81917*s[9])/216 + (25111*s[10])/216 + (1716287*s[11])/3168 + 
       (61928*s[12])/99 + (1191053*s[13])/3168 - (104713*s[14])/3168 + 
       (175303*s[15])/288 + (160553*s[16])/198 + (1772213*s[17])/3168 + 
       (4913*s[18])/81 + (137425*s[19])/1296 + (12288823*s[20])/14256 + 
       (7572977*s[21])/28512 - (7074709*s[22])/28512 - (65807*s[23])/99 - 
       (3808963*s[24])/7128 + (47469461*s[25])/64152 - 
       (22445987*s[26])/64152 + s[29] - s[30]/2 + s[31]/2 + (3*s[32])/4 + 
       s[33]/2 + s[35]/2 + (7*s[36])/2 - (17*s[37])/12 - (75*s[38])/4 + 
       (689*s[39])/8 - (737*s[40])/8 + (141*s[41])/2 - 123*s[42] - 
       (6111*s[43])/88 + (7725*s[44])/88 - (2297*s[45])/33 + 
       (167509*s[46])/264 - (2753*s[47])/132 - (4879*s[48])/264 + 
       (12446*s[49])/33 - (43737*s[50])/88 - (3249*s[51])/44 - 
       (1768*s[52])/33 + (135661*s[53])/396 + (13759*s[54])/264 + 
       (562433*s[55])/264 + (201011*s[56])/396 - (1253911*s[57])/2376 + 
       (6767999*s[58])/7128 - (7094375*s[59])/7128 - (115671*s[60])/22 + 
       (32503171*s[61])/128304 + s[65]/4 + s[66] - s[67] - s[68] - 2*s[69] + 
       s[70]/2 - s[71]/4 - s[72] + 2*s[73] + (5*s[74])/4 - (5*s[75])/4 - 
       s[77]/2 - 3*s[78] - 3*s[79] + (7*s[80])/6 - 33*s[82] - (3*s[83])/4 - 
       (3*s[84])/2) + G[u, v, w]*HPL[{1}, 1 - v]^2*(-s[2]/4 + (39*s[3])/8 - 
       (397*s[4])/16 - (1709*s[5])/44 - (12179*s[6])/176 - 
       (679829*s[7])/1056 + (58339*s[8])/1584 + (9985*s[9])/18 + 
       (14105*s[10])/72 + (742315*s[11])/1056 + (195581*s[12])/264 + 
       (464597*s[13])/1056 + (145555*s[14])/1056 + (28465*s[15])/32 + 
       (73991*s[16])/66 + (324447*s[17])/352 + (24863*s[18])/216 + 
       (46919*s[19])/432 + (6373493*s[20])/4752 + (4883977*s[21])/9504 - 
       (3267437*s[22])/9504 - (77183*s[23])/132 - (1726931*s[24])/2376 + 
       (36690425*s[25])/42768 - (21406661*s[26])/42768 - s[31] + 
       (5*s[32])/4 - (5*s[33])/8 + 2*s[34] + s[35]/2 + (7*s[36])/2 - 
       (17*s[37])/12 - (75*s[38])/4 + (689*s[39])/8 - (737*s[40])/8 + 
       (141*s[41])/2 - 123*s[42] - (6111*s[43])/88 + (7725*s[44])/88 - 
       (2297*s[45])/33 + (167509*s[46])/264 - (2753*s[47])/132 - 
       (4879*s[48])/264 + (12446*s[49])/33 - (43737*s[50])/88 - 
       (3249*s[51])/44 - (1768*s[52])/33 + (135661*s[53])/396 + 
       (13759*s[54])/264 + (562433*s[55])/264 + (201011*s[56])/396 - 
       (1253911*s[57])/2376 + (6767999*s[58])/7128 - (7094375*s[59])/7128 - 
       (115671*s[60])/22 + (32503171*s[61])/128304 + s[65]/4 + s[66] - 
       s[67] - s[68] - 2*s[69] + s[70]/2 - s[71]/4 - s[72] + 2*s[73] + 
       (5*s[74])/4 - (5*s[75])/4 - s[77]/2 - 3*s[78] - 3*s[79] + 
       (7*s[80])/6 - 33*s[82] - (3*s[83])/4 - (3*s[84])/2) + 
     F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      ((21*s[2])/4 - (57*s[3])/8 - (783*s[4])/16 - (71*s[5])/22 - 
       (5901*s[6])/176 - (124733*s[7])/352 + (249569*s[8])/4752 + 
       (58601*s[9])/216 + (15919*s[10])/216 + (1271087*s[11])/3168 + 
       (183239*s[12])/396 + (868661*s[13])/3168 - (176665*s[14])/3168 + 
       (142015*s[15])/288 + (123947*s[16])/198 + (1459877*s[17])/3168 + 
       (25153*s[18])/648 + (114625*s[19])/1296 + (8785039*s[20])/14256 + 
       (5208905*s[21])/28512 - (5079541*s[22])/28512 - (517765*s[23])/792 - 
       (2795479*s[24])/7128 + (36029105*s[25])/64152 - 
       (16406171*s[26])/64152 + s[29] - s[30]/2 + s[31]/2 + 2*s[32] - 
       (3*s[33])/2 + s[35]/2 + (3*s[36])/2 + (7*s[37])/12 - (25*s[38])/2 + 
       (123*s[39])/2 - (131*s[40])/2 + 56*s[41] - (369*s[42])/4 - 
       (509*s[43])/11 + (10837*s[44])/176 - (11299*s[45])/264 + 
       (114085*s[46])/264 - (10861*s[47])/528 - (829*s[48])/528 + 
       (134047*s[49])/528 - (7679*s[50])/22 - (31553*s[51])/528 - 
       (18365*s[52])/528 + (98893*s[53])/396 + (1549*s[54])/66 + 
       (804289*s[55])/528 + (556343*s[56])/1584 - (875365*s[57])/2376 + 
       (9197299*s[58])/14256 - (10061353*s[59])/14256 - 
       (11237855*s[60])/3168 + (21485617*s[61])/128304 + s[65]/4 + s[66] - 
       s[67] - s[68] - 2*s[69] + s[70]/2 - s[71]/4 - s[72] + 4*s[73] + 
       (5*s[74])/4 - (5*s[75])/4 + (3*s[77])/2 - 3*s[78] - 3*s[79] + 
       (7*s[80])/6 - (27*s[82])/2 - (3*s[83])/4 - (3*s[84])/2) + 
     F1[v, w, u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*(-s[2]/4 + (135*s[3])/8 - 
       (97*s[4])/16 - (2749*s[5])/88 - (6685*s[6])/176 - (431899*s[7])/1056 + 
       (35807*s[8])/1584 + (26711*s[9])/72 + (2347*s[10])/18 + 
       (464945*s[11])/1056 + (14834*s[12])/33 + (271363*s[13])/1056 + 
       (123773*s[14])/1056 + (55889*s[15])/96 + (189049*s[16])/264 + 
       (215289*s[17])/352 + (15955*s[18])/216 + (24499*s[19])/432 + 
       (4266733*s[20])/4752 + (3412823*s[21])/9504 - (2166559*s[22])/9504 - 
       (83843*s[23])/264 - (1088515*s[24])/2376 + (10924841*s[25])/21384 - 
       (6838625*s[26])/21384 - s[31] + (5*s[32])/2 - (21*s[33])/8 + 2*s[34] + 
       s[35]/2 + (3*s[36])/2 + (7*s[37])/12 - (25*s[38])/2 + (123*s[39])/2 - 
       (131*s[40])/2 + 56*s[41] - (369*s[42])/4 - (509*s[43])/11 + 
       (10837*s[44])/176 - (11299*s[45])/264 + (114085*s[46])/264 - 
       (10861*s[47])/528 - (829*s[48])/528 + (134047*s[49])/528 - 
       (7679*s[50])/22 - (31553*s[51])/528 - (18365*s[52])/528 + 
       (98893*s[53])/396 + (1549*s[54])/66 + (804289*s[55])/528 + 
       (556343*s[56])/1584 - (875365*s[57])/2376 + (9197299*s[58])/14256 - 
       (10061353*s[59])/14256 - (11237855*s[60])/3168 + 
       (21485617*s[61])/128304 + s[65]/4 + s[66] - s[67] - s[68] - 2*s[69] + 
       s[70]/2 - s[71]/4 - s[72] + 4*s[73] + (5*s[74])/4 - (5*s[75])/4 + 
       (3*s[77])/2 - 3*s[78] - 3*s[79] + (7*s[80])/6 - (27*s[82])/2 - 
       (3*s[83])/4 - (3*s[84])/2) + F1[v, w, u]*HPL[{1}, 1 - w]^3*
      ((3*s[2])/4 - (25*s[3])/8 - (2857*s[4])/48 - (1849*s[5])/88 - 
       (35605*s[6])/528 - (720241*s[7])/1056 + (375017*s[8])/4752 + 
       (60115*s[9])/108 + (16133*s[10])/108 + (2437433*s[11])/3168 + 
       (350795*s[12])/396 + (1678907*s[13])/3168 - (63319*s[14])/3168 + 
       (248437*s[15])/288 + (898955*s[16])/792 + (2503847*s[17])/3168 + 
       (76285*s[18])/648 + (141817*s[19])/1296 + (17934703*s[20])/14256 + 
       (12027599*s[21])/28512 - (10119607*s[22])/28512 - (809905*s[23])/792 - 
       (1277197*s[24])/1782 + (132135265*s[25])/128304 - 
       (66241801*s[26])/128304 + s[29] - s[30]/2 + s[31]/2 + s[32]/4 + 
       s[33]/2 + s[35]/2 + (7*s[36])/2 - (41*s[37])/12 - (361*s[38])/12 + 
       (3037*s[39])/24 - (3241*s[40])/24 + (313*s[41])/3 - (1105*s[42])/6 - 
       (24839*s[43])/264 + (3650*s[44])/33 - (13345*s[45])/132 + 
       (227125*s[46])/264 - (14689*s[47])/264 + (163*s[48])/11 + 
       (122365*s[49])/264 - (173285*s[50])/264 - (32609*s[51])/264 - 
       (25757*s[52])/264 + (180439*s[53])/396 - (379*s[54])/264 + 
       (1117493*s[55])/396 + (581071*s[56])/792 - (308285*s[57])/297 + 
       (5009131*s[58])/3564 - (1271338*s[59])/891 - (10834133*s[60])/1584 + 
       (46611145*s[61])/128304 + s[65]/4 + s[66] - s[67] - s[68] - 2*s[69] + 
       s[70]/2 - s[71]/4 - s[72] + 2*s[73] + (5*s[74])/4 - (5*s[75])/4 - 
       s[77]/2 - 3*s[78] - 3*s[79] + (7*s[80])/6 - 6*s[82] - (3*s[83])/4 - 
       (3*s[84])/2) + F1[w, u, v]*HPL[{1}, 1 - v]^3*
      ((-7*s[2])/4 - (9*s[3])/8 - (701*s[4])/16 - (13003*s[5])/264 - 
       (49063*s[6])/528 - (298213*s[7])/352 + (98783*s[8])/1584 + 
       (52085*s[9])/72 + (2030*s[10])/9 + (980057*s[11])/1056 + 
       (264259*s[12])/264 + (627391*s[13])/1056 + (140257*s[14])/1056 + 
       (36575*s[15])/32 + (380357*s[16])/264 + (401897*s[17])/352 + 
       (36769*s[18])/216 + (50227*s[19])/432 + (8141977*s[20])/4752 + 
       (6213971*s[21])/9504 - (4243507*s[22])/9504 - (32246*s[23])/33 - 
       (537637*s[24])/594 + (12369217*s[25])/10692 - (7087351*s[26])/10692 - 
       s[31] + s[32]/2 - (5*s[33])/8 + 2*s[34] + s[35]/2 + (7*s[36])/2 - 
       (41*s[37])/12 - (361*s[38])/12 + (3037*s[39])/24 - (3241*s[40])/24 + 
       (313*s[41])/3 - (1105*s[42])/6 - (24839*s[43])/264 + (3650*s[44])/33 - 
       (13345*s[45])/132 + (227125*s[46])/264 - (14689*s[47])/264 + 
       (163*s[48])/11 + (122365*s[49])/264 - (173285*s[50])/264 - 
       (32609*s[51])/264 - (25757*s[52])/264 + (180439*s[53])/396 - 
       (379*s[54])/264 + (1117493*s[55])/396 + (581071*s[56])/792 - 
       (308285*s[57])/297 + (5009131*s[58])/3564 - (1271338*s[59])/891 - 
       (10834133*s[60])/1584 + (46611145*s[61])/128304 + s[65]/4 + s[66] - 
       s[67] - s[68] - 2*s[69] + s[70]/2 - s[71]/4 - s[72] + 2*s[73] + 
       (5*s[74])/4 - (5*s[75])/4 - s[77]/2 - 3*s[78] - 3*s[79] + 
       (7*s[80])/6 - 6*s[82] - (3*s[83])/4 - (3*s[84])/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*Phi6[u, v, w]*
      ((3*s[2])/2 - (33*s[3])/8 - (999*s[4])/16 - (1431*s[5])/88 - 
       (10211*s[6])/176 - (226411*s[7])/352 + (362345*s[8])/4752 + 
       (56209*s[9])/108 + (3923*s[10])/27 + (2306885*s[11])/3168 + 
       (662221*s[12])/792 + (1584131*s[13])/3168 - (134071*s[14])/3168 + 
       (241261*s[15])/288 + (860213*s[16])/792 + (2440091*s[17])/3168 + 
       (62731*s[18])/648 + (164497*s[19])/1296 + (16650475*s[20])/14256 + 
       (10815839*s[21])/28512 - (9507391*s[22])/28512 - (191875*s[23])/198 - 
       (5020381*s[24])/7128 + (126252685*s[25])/128304 - 
       (61417729*s[26])/128304 + s[29] - s[30]/2 + s[31]/2 + (5*s[32])/4 - 
       s[33]/2 + s[35]/2 + (5*s[36])/2 - (23*s[37])/12 - (121*s[38])/4 + 
       (959*s[39])/8 - (1011*s[40])/8 + 100*s[41] - (343*s[42])/2 - 
       (8089*s[43])/88 + (4709*s[44])/44 - (12311*s[45])/132 + 
       (215773*s[46])/264 - (4185*s[47])/88 + (267*s[48])/44 + 
       (40693*s[49])/88 - (56339*s[50])/88 - (30431*s[51])/264 - 
       (7537*s[52])/88 + (175159*s[53])/396 + (6529*s[54])/264 + 
       (180571*s[55])/66 + (527413*s[56])/792 - (1021907*s[57])/1188 + 
       (2298431*s[58])/1782 - (4771093*s[59])/3564 - (10532711*s[60])/1584 + 
       (42489445*s[61])/128304 + s[65]/4 + s[66] - s[67] - s[68] - 2*s[69] + 
       s[70]/2 - s[71]/4 - s[72] + 3*s[73] + (5*s[74])/4 - (5*s[75])/4 + 
       s[77]/2 - 3*s[78] - 3*s[79] + (7*s[80])/6 - 6*s[82] - (3*s[83])/4 - 
       (3*s[84])/2) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*Phi6[u, v, w]*
      (-s[2] + (47*s[3])/8 - (585*s[4])/16 - (4283*s[5])/88 - 
       (14169*s[6])/176 - (852839*s[7])/1056 + (89983*s[8])/1584 + 
       (50281*s[9])/72 + (8173*s[10])/36 + (932317*s[11])/1056 + 
       (124501*s[12])/132 + (586559*s[13])/1056 + (143689*s[14])/1056 + 
       (106061*s[15])/96 + (364583*s[16])/264 + (390413*s[17])/352 + 
       (33629*s[18])/216 + (52067*s[19])/432 + (7846253*s[20])/4752 + 
       (6000571*s[21])/9504 - (4090739*s[22])/9504 - (224737*s[23])/264 - 
       (2103941*s[24])/2376 + (5820283*s[25])/5346 - (6704903*s[26])/10692 - 
       s[31] + s[32] - (13*s[33])/8 + 2*s[34] + s[35]/2 + (5*s[36])/2 - 
       (23*s[37])/12 - (121*s[38])/4 + (959*s[39])/8 - (1011*s[40])/8 + 
       100*s[41] - (343*s[42])/2 - (8089*s[43])/88 + (4709*s[44])/44 - 
       (12311*s[45])/132 + (215773*s[46])/264 - (4185*s[47])/88 + 
       (267*s[48])/44 + (40693*s[49])/88 - (56339*s[50])/88 - 
       (30431*s[51])/264 - (7537*s[52])/88 + (175159*s[53])/396 + 
       (6529*s[54])/264 + (180571*s[55])/66 + (527413*s[56])/792 - 
       (1021907*s[57])/1188 + (2298431*s[58])/1782 - (4771093*s[59])/3564 - 
       (10532711*s[60])/1584 + (42489445*s[61])/128304 + s[65]/4 + s[66] - 
       s[67] - s[68] - 2*s[69] + s[70]/2 - s[71]/4 - s[72] + 3*s[73] + 
       (5*s[74])/4 - (5*s[75])/4 + s[77]/2 - 3*s[78] - 3*s[79] + 
       (7*s[80])/6 - 6*s[82] - (3*s[83])/4 - (3*s[84])/2) + 
     HPL[{1}, 1 - w]^2*K1[w, u, v]*((-3*s[2])/4 + (25*s[3])/8 + 
       (931*s[4])/16 + (1853*s[5])/88 + (11675*s[6])/176 + 
       (711505*s[7])/1056 - (368261*s[8])/4752 - (29723*s[9])/54 - 
       (16019*s[10])/108 - (2409749*s[11])/3168 - (693457*s[12])/792 - 
       (1659587*s[13])/3168 + (54751*s[14])/3168 - (245365*s[15])/288 - 
       (888491*s[16])/792 - (2475971*s[17])/3168 - (74635*s[18])/648 - 
       (142021*s[19])/1296 - (17752567*s[20])/14256 - 
       (11884295*s[21])/28512 + (10006231*s[22])/28512 + (397241*s[23])/396 + 
       (5065801*s[24])/7128 - (130595191*s[25])/128304 + 
       (65416687*s[26])/128304 - s[29] + s[30]/2 - s[31]/2 - s[32]/4 - 
       s[33]/2 - s[35]/2 - (7*s[36])/2 + (41*s[37])/12 + (121*s[38])/4 - 
       (1003*s[39])/8 + (1071*s[40])/8 - 103*s[41] + 182*s[42] + 
       (8245*s[43])/88 - (2429*s[44])/22 + (13181*s[45])/132 - 
       (224533*s[46])/264 + (14273*s[47])/264 - (431*s[48])/33 - 
       (121997*s[49])/264 + (57135*s[50])/88 + (32177*s[51])/264 + 
       (25441*s[52])/264 - (178099*s[53])/396 - (229*s[54])/264 - 
       (122535*s[55])/44 - (571411*s[56])/792 + (303593*s[57])/297 - 
       (4943497*s[58])/3564 + (2510723*s[59])/1782 + (10740733*s[60])/1584 - 
       (45836689*s[61])/128304 - s[65]/4 - s[66] + s[67] + s[68] + 2*s[69] - 
       s[70]/2 + s[71]/4 + s[72] - 2*s[73] - (5*s[74])/4 + (5*s[75])/4 + 
       s[77]/2 + 3*s[78] + 3*s[79] - (7*s[80])/6 + 6*s[82] + (3*s[83])/4 + 
       (3*s[84])/2) + HPL[{1}, 1 - v]^2*K1[w, u, v]*
      ((7*s[2])/4 + (9*s[3])/8 + (701*s[4])/16 + (4221*s[5])/88 + 
       (16073*s[6])/176 + (294773*s[7])/352 - (32705*s[8])/528 - 
       (17153*s[9])/24 - (668*s[10])/3 - (323463*s[11])/352 - 
       (43683*s[12])/44 - (207629*s[13])/352 - (44947*s[14])/352 - 
       (108221*s[15])/96 - (125271*s[16])/88 - (395837*s[17])/352 - 
       (11965*s[18])/72 - (16909*s[19])/144 - (2676331*s[20])/1584 - 
       (2032169*s[21])/3168 + (1399441*s[22])/3168 + (84723*s[23])/88 + 
       (710995*s[24])/792 - (8178647*s[25])/7128 + (4662671*s[26])/7128 + 
       s[31] - s[32]/2 + (5*s[33])/8 - 2*s[34] - s[35]/2 - (7*s[36])/2 + 
       (41*s[37])/12 + (121*s[38])/4 - (1003*s[39])/8 + (1071*s[40])/8 - 
       103*s[41] + 182*s[42] + (8245*s[43])/88 - (2429*s[44])/22 + 
       (13181*s[45])/132 - (224533*s[46])/264 + (14273*s[47])/264 - 
       (431*s[48])/33 - (121997*s[49])/264 + (57135*s[50])/88 + 
       (32177*s[51])/264 + (25441*s[52])/264 - (178099*s[53])/396 - 
       (229*s[54])/264 - (122535*s[55])/44 - (571411*s[56])/792 + 
       (303593*s[57])/297 - (4943497*s[58])/3564 + (2510723*s[59])/1782 + 
       (10740733*s[60])/1584 - (45836689*s[61])/128304 - s[65]/4 - s[66] + 
       s[67] + s[68] + 2*s[69] - s[70]/2 + s[71]/4 + s[72] - 2*s[73] - 
       (5*s[74])/4 + (5*s[75])/4 + s[77]/2 + 3*s[78] + 3*s[79] - 
       (7*s[80])/6 + 6*s[82] + (3*s[83])/4 + (3*s[84])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*Phi6[u, v, w]*
      (2*s[2] + s[3]/4 + (761*s[4])/8 + (4467*s[5])/44 + (16745*s[6])/88 + 
       (950515*s[7])/528 - (104531*s[8])/792 - (55385*s[9])/36 - 
       (4327*s[10])/9 - (1047797*s[11])/528 - (142019*s[12])/66 - 
       (676639*s[13])/528 - (135497*s[14])/528 - (115865*s[15])/48 - 
       (100861*s[16])/33 - (420973*s[17])/176 - (37807*s[18])/108 - 
       (57259*s[19])/216 - (8604103*s[20])/2376 - (6505547*s[21])/4752 + 
       (4523443*s[22])/4752 + (67691*s[23])/33 + (579769*s[24])/297 - 
       (6635507*s[25])/2673 + (3750224*s[26])/2673 + 2*s[31] - s[32] + 
       (5*s[33])/4 - 4*s[34] - 9*s[36] + 10*s[37] + 72*s[38] - 
       (969*s[39])/4 + (1037*s[40])/4 - (777*s[41])/4 + (1317*s[42])/4 + 
       (9411*s[43])/44 - (19289*s[44])/88 + (6271*s[45])/22 - 
       (87839*s[46])/44 + (20659*s[47])/264 + (8449*s[48])/264 - 
       (263233*s[49])/264 + (33303*s[50])/22 + (57809*s[51])/264 + 
       (48539*s[52])/264 - (35075*s[53])/33 - (1195*s[54])/22 - 
       (1805909*s[55])/264 - (471775*s[56])/264 + (339007*s[57])/198 - 
       (7436837*s[58])/2376 + (7591259*s[59])/2376 + (25926247*s[60])/1584 - 
       (18897185*s[61])/21384 - 2*s[68] + 2*s[70] - 2*s[73] - s[74] + s[75] - 
       6*s[76] - 4*s[77] + 6*s[78] + 6*s[79] + 2*s[80] + 12*s[82] + 
       (3*s[83])/2 + 3*s[84]) + F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      ((11*s[2])/4 + s[3]/4 + (697*s[4])/8 + (7675*s[5])/88 + 
       (7387*s[6])/44 + (418109*s[7])/264 - (91721*s[8])/792 - 
       (97165*s[9])/72 - (30923*s[10])/72 - (57440*s[11])/33 - 
       (495617*s[12])/264 - (294473*s[13])/264 - (58771*s[14])/264 - 
       (12923*s[15])/6 - (714503*s[16])/264 - (188337*s[17])/88 - 
       (64793*s[18])/216 - (53059*s[19])/216 - (7574047*s[20])/2376 - 
       (2849239*s[21])/2376 + (993499*s[22])/1188 + (235979*s[23])/132 + 
       (2053759*s[24])/1188 - (93240149*s[25])/42768 + 
       (52528433*s[26])/42768 + 2*s[31] - s[32] + (5*s[33])/4 - 4*s[34] - 
       9*s[36] + (17*s[37])/2 + (245*s[38])/4 - (833*s[39])/4 + 
       (891*s[40])/4 - (1351*s[41])/8 + (2265*s[42])/8 + (8271*s[43])/44 - 
       (16851*s[44])/88 + (5773*s[45])/22 - (19831*s[46])/11 + 
       (5327*s[47])/88 + (2907*s[48])/88 - (77295*s[49])/88 + 
       (120875*s[50])/88 + (6137*s[51])/33 + (13573*s[52])/88 - 
       (129029*s[53])/132 - (4927*s[54])/88 - (1664695*s[55])/264 - 
       (430823*s[56])/264 + (522805*s[57])/396 - (1642657*s[58])/594 + 
       (6769159*s[59])/2376 + (2606423*s[60])/176 - (8621669*s[61])/10692 - 
       2*s[68] + 2*s[70] - 2*s[73] - s[74] + s[75] - 6*s[76] - 4*s[77] + 
       6*s[78] + 6*s[79] + 2*s[80] + 15*s[82] + (3*s[83])/2 + 3*s[84]) + 
     F1[w, u, v]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*(2*s[2] - (15*s[3])/4 + 
       (311*s[4])/4 + (9081*s[5])/88 + (15651*s[6])/88 + (442939*s[7])/264 - 
       (30611*s[8])/264 - (34663*s[9])/24 - (11087*s[10])/24 - 
       (160981*s[11])/88 - (172065*s[12])/88 - (76223*s[13])/66 - 
       (3280*s[14])/11 - (6871*s[15])/3 - (756023*s[16])/264 - 
       (75989*s[17])/33 - (24187*s[18])/72 - (2113*s[19])/9 - 
       (339826*s[20])/99 - (348961*s[21])/264 + (351739*s[22])/396 + 
       (482179*s[23])/264 + (1432631*s[24])/792 - (10726289*s[25])/4752 + 
       (6224813*s[26])/4752 + 2*s[31] - s[32]/2 + (5*s[33])/4 - 4*s[34] - 
       9*s[36] + (17*s[37])/2 + (245*s[38])/4 - (833*s[39])/4 + 
       (891*s[40])/4 - (1351*s[41])/8 + (2265*s[42])/8 + (8271*s[43])/44 - 
       (16851*s[44])/88 + (5773*s[45])/22 - (19831*s[46])/11 + 
       (5327*s[47])/88 + (2907*s[48])/88 - (77295*s[49])/88 + 
       (120875*s[50])/88 + (6137*s[51])/33 + (13573*s[52])/88 - 
       (129029*s[53])/132 - (4927*s[54])/88 - (1664695*s[55])/264 - 
       (430823*s[56])/264 + (522805*s[57])/396 - (1642657*s[58])/594 + 
       (6769159*s[59])/2376 + (2606423*s[60])/176 - (8621669*s[61])/10692 - 
       2*s[68] + 2*s[70] - 2*s[73] - s[74] + s[75] - 6*s[76] - 4*s[77] + 
       6*s[78] + 6*s[79] + 2*s[80] + 15*s[82] + (3*s[83])/2 + 3*s[84]) + 
     G[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*(s[2]/2 + (137*s[3])/4 + 
       (2777*s[4])/8 + (14803*s[5])/44 + (60997*s[6])/88 + 
       (3336175*s[7])/528 - (364183*s[8])/792 - (192325*s[9])/36 - 
       (15119*s[10])/9 - (3715945*s[11])/528 - (1018271*s[12])/132 - 
       (822309*s[13])/176 - (426649*s[14])/528 - (401813*s[15])/48 - 
       (468625*s[16])/44 - (4307243*s[17])/528 - (30983*s[18])/27 - 
       (229499*s[19])/216 - (29871473*s[20])/2376 - (22176307*s[21])/4752 + 
       (15729227*s[22])/4752 + (303513*s[23])/44 + (2115764*s[24])/297 - 
       (47653337*s[25])/5346 + (26478389*s[26])/5346 + 2*s[31] - 
       (3*s[32])/2 - (3*s[33])/4 - 4*s[34] - 11*s[36] + 27*s[37] + 
       292*s[38] - (3609*s[39])/4 + (3845*s[40])/4 - (2793*s[41])/4 + 
       (4721*s[42])/4 + (37327*s[43])/44 - (72681*s[44])/88 + 
       (21381*s[45])/22 - (310991*s[46])/44 + (61927*s[47])/264 + 
       (63709*s[48])/264 - (1016941*s[49])/264 + (116241*s[50])/22 + 
       (67591*s[51])/88 + (180203*s[52])/264 - (80561*s[53])/22 - 
       (969*s[54])/22 - (6242537*s[55])/264 - (1589039*s[56])/264 + 
       (567691*s[57])/99 - (25983361*s[58])/2376 + (26592463*s[59])/2376 + 
       (93289387*s[60])/1584 - (63948613*s[61])/21384 - 2*s[68] + 2*s[70] - 
       s[74] + s[75] - 6*s[76] - 2*s[77] + 6*s[78] + 6*s[79] + 2*s[80] + 
       66*s[82] + (3*s[83])/2 + 3*s[84]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*((-25*s[2])/2 - (79*s[3])/2 - 
       687*s[4] - (26877*s[5])/44 - (31287*s[6])/22 - (4969661*s[7])/396 + 
       (1144571*s[8])/1188 + (287140*s[9])/27 + (182953*s[10])/54 + 
       (1362520*s[11])/99 + (11842141*s[12])/792 + (7085395*s[13])/792 + 
       (1524605*s[14])/792 + (300713*s[15])/18 + (16792759*s[16])/792 + 
       (2182673*s[17])/132 + (194678*s[18])/81 + (145402*s[19])/81 + 
       (45068843*s[20])/1782 + (66564203*s[21])/7128 - 
       (46993777*s[22])/7128 - (1385062*s[23])/99 - (48782009*s[24])/3564 + 
       (555535867*s[25])/32076 - (77898232*s[26])/8019 - s[30] - 6*s[31] + 
       s[32] - (5*s[33])/4 + 6*s[34] + 4*s[35] + (82*s[36])/3 - 43*s[37] - 
       428*s[38] + 1620*s[39] - (5446*s[40])/3 + 1400*s[41] - 
       (6857*s[42])/3 - (49298*s[43])/33 + (201611*s[44])/132 - 
       (41881*s[45])/22 + (915301*s[46])/66 - (98915*s[47])/198 - 
       (67565*s[48])/198 + (1327511*s[49])/198 - (698143*s[50])/66 - 
       (312709*s[51])/198 - (515843*s[52])/396 + (2918449*s[53])/396 - 
       (15701*s[54])/66 + (1561574*s[55])/33 + (2517503*s[56])/198 - 
       (3285688*s[57])/297 + (38187559*s[58])/1782 - (38465893*s[59])/1782 - 
       (135335471*s[60])/1188 + (201165563*s[61])/32076 - 2*s[68] + 4*s[69] - 
       6*s[70] + s[71] - 4*s[72] + 2*s[73] + 5*s[74] - 5*s[75] + 14*s[76] + 
       4*s[77] - 10*s[78] - 126*s[79] + 30*s[80] - 270*s[82] - (3*s[83])/2 - 
       63*s[84] - 80*s[85]) + F1[w, u, v]*HPL[{0, 1, 1}, 1 - w]*
      ((-15*s[2])/2 - (97*s[3])/4 - (2533*s[4])/8 - (6851*s[5])/22 - 
       (67143*s[6])/88 - (1147495*s[7])/176 + (1066309*s[8])/2376 + 
       (149176*s[9])/27 + (207761*s[10])/108 + (11274865*s[11])/1584 + 
       (3022925*s[12])/396 + (7201231*s[13])/1584 + (2118997*s[14])/1584 + 
       (1263689*s[15])/144 + (1103749*s[16])/99 + (14162095*s[17])/1584 + 
       (97091*s[18])/81 + (680033*s[19])/648 + (96057773*s[20])/7128 + 
       (70788307*s[21])/14256 - (48727007*s[22])/14256 - 
       (1207003*s[23])/198 - (26461841*s[24])/3564 + (566482595*s[25])/
        64152 - (322257731*s[26])/64152 + 2*s[30] + 2*s[31] - s[32] + 
       (31*s[33])/4 - 10*s[34] + 3*s[35] - (5*s[36])/3 - 13*s[37] - 
       209*s[38] + (1465*s[39])/2 - (5057*s[40])/6 + 663*s[41] - 
       (5995*s[42])/6 - (49801*s[43])/66 + (195973*s[44])/264 - 
       (22515*s[45])/22 + (234107*s[46])/33 - (117287*s[47])/792 - 
       (292451*s[48])/792 + (2669693*s[49])/792 - (361435*s[50])/66 - 
       (562219*s[51])/792 - (457129*s[52])/792 + (1494325*s[53])/396 + 
       (254*s[54])/33 + (6491209*s[55])/264 + (5143415*s[56])/792 - 
       (4598563*s[57])/1188 + (74623213*s[58])/7128 - (74943289*s[59])/7128 - 
       (283904783*s[60])/4752 + (103914671*s[61])/32076 - s[65] - 2*s[66] + 
       4*s[67] + 8*s[69] - 4*s[70] + 2*s[71] + 2*s[72] - 2*s[73] + s[74]/2 - 
       s[75]/2 + 6*s[76] - 3*s[77] + 6*s[78] - 76*s[79] + 16*s[80] - 
       228*s[82] + 3*s[83] - 42*s[84] - 72*s[85]) + 
     F1[v, w, u]*HPL[{0, 1, 1}, 1 - v]*((-29*s[2])/2 - (65*s[3])/4 - 
       (2659*s[4])/8 - 302*s[5] - (5491*s[6])/8 - (918197*s[7])/144 + 
       (95057*s[8])/216 + (588433*s[9])/108 + (191885*s[10])/108 + 
       (1006403*s[11])/144 + (272455*s[12])/36 + (217927*s[13])/48 + 
       (148043*s[14])/144 + (407471*s[15])/48 + (42923*s[16])/4 + 
       (1202377*s[17])/144 + (386633*s[18])/324 + (619505*s[19])/648 + 
       (8405683*s[20])/648 + (6134261*s[21])/1296 - (4369513*s[22])/1296 - 
       (79733*s[23])/12 - (572350*s[24])/81 + (25581485*s[25])/2916 - 
       (14266505*s[26])/2916 - 4*s[29] + s[30] - 8*s[31] - s[32] - 
       (13*s[33])/2 + 9*s[34] + 3*s[35] - (5*s[36])/3 - 13*s[37] - 
       209*s[38] + (1465*s[39])/2 - (5057*s[40])/6 + 663*s[41] - 
       (5995*s[42])/6 - (49801*s[43])/66 + (195973*s[44])/264 - 
       (22515*s[45])/22 + (234107*s[46])/33 - (117287*s[47])/792 - 
       (292451*s[48])/792 + (2669693*s[49])/792 - (361435*s[50])/66 - 
       (562219*s[51])/792 - (457129*s[52])/792 + (1494325*s[53])/396 + 
       (254*s[54])/33 + (6491209*s[55])/264 + (5143415*s[56])/792 - 
       (4598563*s[57])/1188 + (74623213*s[58])/7128 - (74943289*s[59])/7128 - 
       (283904783*s[60])/4752 + (103914671*s[61])/32076 - s[65] - 2*s[66] + 
       4*s[67] + 8*s[69] - 4*s[70] + 2*s[71] + 2*s[72] - 2*s[73] + s[74]/2 - 
       s[75]/2 + 6*s[76] - 3*s[77] + 6*s[78] - 76*s[79] + 16*s[80] - 
       228*s[82] + 3*s[83] - 42*s[84] - 72*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*Phi6[u, v, w]*
      ((-67*s[2])/4 - (223*s[3])/8 - (9313*s[4])/16 - (5922*s[5])/11 - 
       (224771*s[6])/176 - (3968329*s[7])/352 + (3928381*s[8])/4752 + 
       (2062741*s[9])/216 + (694769*s[10])/216 + (38907475*s[11])/3168 + 
       (10457393*s[12])/792 + (24918829*s[13])/3168 + (6410539*s[14])/3168 + 
       (4384931*s[15])/288 + (7616597*s[16])/396 + (48597841*s[17])/3168 + 
       (1356917*s[18])/648 + (2247203*s[19])/1296 + (328213583*s[20])/14256 + 
       (241839157*s[21])/28512 - (168720065*s[22])/28512 - 
       (2268605*s[23])/198 - (89571677*s[24])/7128 + (123119003*s[25])/8019 - 
       (69593951*s[26])/8019 + (3*s[30])/2 - 2*s[31] + (5*s[32])/2 + 
       (19*s[33])/4 - (5*s[34])/2 + (7*s[35])/2 + (37*s[36])/2 - 
       (233*s[37])/12 - 340*s[38] + (5365*s[39])/4 - (6135*s[40])/4 + 
       (4879*s[41])/4 - 1901*s[42] - (57619*s[43])/44 + (236227*s[44])/176 - 
       (450067*s[45])/264 + (3260239*s[46])/264 - (172979*s[47])/528 - 
       (257327*s[48])/528 + (3142481*s[49])/528 - (211047*s[50])/22 - 
       (697339*s[51])/528 - (551887*s[52])/528 + (661615*s[53])/99 - 
       (4921*s[54])/132 + (22697567*s[55])/528 + (17856725*s[56])/1584 - 
       (17703649*s[57])/2376 + (261357097*s[58])/14256 - 
       (265231543*s[59])/14256 - (108720455*s[60])/1056 + 
       (721496665*s[61])/128304 - s[68] - s[69] - 5*s[70] + (3*s[71])/2 - 
       3*s[72] - s[73] + (19*s[74])/4 - (19*s[75])/4 + s[76] + (5*s[77])/2 - 
       128*s[79] + (205*s[80])/6 - 248*s[82] - 48*s[84] - 70*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*Phi6[u, v, w]*
      ((-59*s[2])/4 - (315*s[3])/8 - (9867*s[4])/16 - (45065*s[5])/88 - 
       (218355*s[6])/176 - (3929281*s[7])/352 + (4026001*s[8])/4752 + 
       (2037709*s[9])/216 + (169103*s[10])/54 + (38565355*s[11])/3168 + 
       (10415033*s[12])/792 + (24776149*s[13])/3168 + (5800471*s[14])/3168 + 
       (4337267*s[15])/288 + (15050977*s[16])/792 + (47627449*s[17])/3168 + 
       (1336049*s[18])/648 + (2239223*s[19])/1296 + (323089139*s[20])/14256 + 
       (235411669*s[21])/28512 - (166939085*s[22])/28512 - 
       (4664377*s[23])/396 - (88356383*s[24])/7128 + (982856569*s[25])/
        64152 - (549081787*s[26])/64152 - s[31] - (3*s[32])/2 + 
       (17*s[33])/8 - 2*s[34] + (7*s[35])/2 + (37*s[36])/2 - (233*s[37])/12 - 
       340*s[38] + (5365*s[39])/4 - (6135*s[40])/4 + (4879*s[41])/4 - 
       1901*s[42] - (57619*s[43])/44 + (236227*s[44])/176 - 
       (450067*s[45])/264 + (3260239*s[46])/264 - (172979*s[47])/528 - 
       (257327*s[48])/528 + (3142481*s[49])/528 - (211047*s[50])/22 - 
       (697339*s[51])/528 - (551887*s[52])/528 + (661615*s[53])/99 - 
       (4921*s[54])/132 + (22697567*s[55])/528 + (17856725*s[56])/1584 - 
       (17703649*s[57])/2376 + (261357097*s[58])/14256 - 
       (265231543*s[59])/14256 - (108720455*s[60])/1056 + 
       (721496665*s[61])/128304 - s[68] - s[69] - 5*s[70] + (3*s[71])/2 - 
       3*s[72] - s[73] + (19*s[74])/4 - (19*s[75])/4 + s[76] + (5*s[77])/2 - 
       128*s[79] + (205*s[80])/6 - 248*s[82] - 48*s[84] - 70*s[85]) + 
     F1[v, w, u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((-11*s[2])/4 - (79*s[3])/8 - (7329*s[4])/16 - (3177*s[5])/11 - 
       (129587*s[6])/176 - (22216669*s[7])/3168 + (3047393*s[8])/4752 + 
       (1271183*s[9])/216 + (374647*s[10])/216 + (24796067*s[11])/3168 + 
       (6943711*s[12])/792 + (16730389*s[13])/3168 + (1602803*s[14])/3168 + 
       (2592191*s[15])/288 + (9251881*s[16])/792 + (9050051*s[17])/1056 + 
       (815311*s[18])/648 + (1383763*s[19])/1296 + (193697287*s[20])/14256 + 
       (137241605*s[21])/28512 - (105202225*s[22])/28512 - 
       (6912239*s[23])/792 - (27049691*s[24])/3564 + (649342061*s[25])/
        64152 - (345179249*s[26])/64152 + 4*s[29] - (5*s[30])/2 + s[31] - 
       s[32]/2 + (11*s[33])/4 + (5*s[34])/2 + (9*s[35])/2 + (109*s[36])/6 - 
       (86*s[37])/3 - 290*s[38] + 1095*s[39] - (7195*s[40])/6 + 920*s[41] - 
       (18541*s[42])/12 - (31063*s[43])/33 + (527497*s[44])/528 - 
       (141785*s[45])/132 + (367899*s[46])/44 - (613751*s[47])/1584 - 
       (192935*s[48])/1584 + (6914981*s[49])/1584 - (420713*s[50])/66 - 
       (1673971*s[51])/1584 - (1368409*s[52])/1584 + (385521*s[53])/88 - 
       (2395*s[54])/44 + (4880891*s[55])/176 + (11577751*s[56])/1584 - 
       (19281689*s[57])/2376 + (188319797*s[58])/14256 - 
       (189725489*s[59])/14256 - (648959039*s[60])/9504 + 
       (29082494*s[61])/8019 + s[65] + 3*s[66] - 4*s[67] - 5*s[68] - 
       6*s[69] - 4*s[70] - s[71]/2 - 5*s[72] + 5*s[73] + (21*s[74])/4 - 
       (21*s[75])/4 + 6*s[76] + (3*s[77])/2 - 11*s[78] - 58*s[79] + 
       (53*s[80])/3 - 126*s[82] - (3*s[83])/2 - 27*s[84] - 36*s[85]) + 
     F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      ((-57*s[2])/4 - (431*s[3])/8 - (7183*s[4])/16 - (17291*s[5])/44 - 
       (161133*s[6])/176 - (2808249*s[7])/352 + (2827595*s[8])/4752 + 
       (726793*s[9])/108 + (469867*s[10])/216 + (27821567*s[11])/3168 + 
       (7550545*s[12])/792 + (18122249*s[13])/3168 + (3794291*s[14])/3168 + 
       (3066151*s[15])/288 + (2682371*s[16])/198 + (33613361*s[17])/3168 + 
       (493769*s[18])/324 + (1569643*s[19])/1296 + (228681199*s[20])/14256 + 
       (169454525*s[21])/28512 - (118995409*s[22])/28512 - 
       (1748347*s[23])/198 - (62473603*s[24])/7128 + (1417173421*s[25])/
        128304 - (793839037*s[26])/128304 + s[30] - 5*s[31] - 2*s[32] - 
       (5*s[33])/8 + 7*s[34] + (9*s[35])/2 + (109*s[36])/6 - (86*s[37])/3 - 
       290*s[38] + 1095*s[39] - (7195*s[40])/6 + 920*s[41] - 
       (18541*s[42])/12 - (31063*s[43])/33 + (527497*s[44])/528 - 
       (141785*s[45])/132 + (367899*s[46])/44 - (613751*s[47])/1584 - 
       (192935*s[48])/1584 + (6914981*s[49])/1584 - (420713*s[50])/66 - 
       (1673971*s[51])/1584 - (1368409*s[52])/1584 + (385521*s[53])/88 - 
       (2395*s[54])/44 + (4880891*s[55])/176 + (11577751*s[56])/1584 - 
       (19281689*s[57])/2376 + (188319797*s[58])/14256 - 
       (189725489*s[59])/14256 - (648959039*s[60])/9504 + 
       (29082494*s[61])/8019 + s[65] + 3*s[66] - 4*s[67] - 5*s[68] - 
       6*s[69] - 4*s[70] - s[71]/2 - 5*s[72] + 5*s[73] + (21*s[74])/4 - 
       (21*s[75])/4 + 6*s[76] + (3*s[77])/2 - 11*s[78] - 58*s[79] + 
       (53*s[80])/3 - 126*s[82] - (3*s[83])/2 - 27*s[84] - 36*s[85]) + 
     F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-35*s[2])/4 - (259*s[3])/8 - (4755*s[4])/16 - (9087*s[5])/44 - 
       (96553*s[6])/176 - (5140871*s[7])/1056 + (1917827*s[8])/4752 + 
       (219569*s[9])/54 + (288259*s[10])/216 + (17007767*s[11])/3168 + 
       (4651513*s[12])/792 + (11148113*s[13])/3168 + (1968323*s[14])/3168 + 
       (1861507*s[15])/288 + (6555905*s[16])/792 + (20333081*s[17])/3168 + 
       (284453*s[18])/324 + (1035703*s[19])/1296 + (138082099*s[20])/14256 + 
       (99163253*s[21])/28512 - (72377113*s[22])/28512 - 
       (4274407*s[23])/792 - (4823003*s[24])/891 + (876616693*s[25])/128304 - 
       (477839041*s[26])/128304 + 2*s[29] - s[30] + (17*s[33])/8 - s[34] + 
       (7*s[35])/2 + (32*s[36])/3 - (155*s[37])/12 - (355*s[38])/2 + 
       (5267*s[39])/8 - (17353*s[40])/24 + (4521*s[41])/8 - 
       (22073*s[42])/24 - (156767*s[43])/264 + (40445*s[44])/66 - 
       (189235*s[45])/264 + (237157*s[46])/44 - (83735*s[47])/396 - 
       (103681*s[48])/792 + (1086017*s[49])/396 - (548059*s[50])/132 - 
       (504737*s[51])/792 - (403049*s[52])/792 + (756901*s[53])/264 + 
       (311*s[54])/22 + (4811621*s[55])/264 + (469543*s[56])/99 - 
       (10175711*s[57])/2376 + (58818535*s[58])/7128 - 
       (59481529*s[59])/7128 - (211473067*s[60])/4752 + 
       (152639965*s[61])/64152 + s[65]/2 + 2*s[66] - 2*s[67] - 5*s[68] - 
       3*s[69] - 3*s[70] - 3*s[72] + 5*s[73] + (11*s[74])/4 - (11*s[75])/4 + 
       3*s[76] + s[77]/2 - 7*s[78] - 38*s[79] + (61*s[80])/6 - 114*s[82] - 
       24*s[84] - 36*s[85]) + F1[v, w, u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((-37*s[2])/4 - (45*s[3])/8 - (4111*s[4])/16 - (21423*s[5])/88 - 
       (91923*s[6])/176 - (15351283*s[7])/3168 + (1730825*s[8])/4752 + 
       (445843*s[9])/108 + (141551*s[10])/108 + (16893425*s[11])/3168 + 
       (1148701*s[12])/198 + (10982515*s[13])/3168 + (2179709*s[14])/3168 + 
       (1850429*s[15])/288 + (6465691*s[16])/792 + (6703157*s[17])/1056 + 
       (293717*s[18])/324 + (945997*s[19])/1296 + (138741265*s[20])/14256 + 
       (102205439*s[21])/28512 - (72858199*s[22])/28512 - 
       (4198187*s[23])/792 - (4734812*s[24])/891 + (860759371*s[25])/128304 - 
       (479380951*s[26])/128304 - s[30]/2 - 4*s[31] - (3*s[32])/2 - s[33]/2 + 
       (13*s[34])/2 + (7*s[35])/2 + (32*s[36])/3 - (155*s[37])/12 - 
       (355*s[38])/2 + (5267*s[39])/8 - (17353*s[40])/24 + (4521*s[41])/8 - 
       (22073*s[42])/24 - (156767*s[43])/264 + (40445*s[44])/66 - 
       (189235*s[45])/264 + (237157*s[46])/44 - (83735*s[47])/396 - 
       (103681*s[48])/792 + (1086017*s[49])/396 - (548059*s[50])/132 - 
       (504737*s[51])/792 - (403049*s[52])/792 + (756901*s[53])/264 + 
       (311*s[54])/22 + (4811621*s[55])/264 + (469543*s[56])/99 - 
       (10175711*s[57])/2376 + (58818535*s[58])/7128 - 
       (59481529*s[59])/7128 - (211473067*s[60])/4752 + 
       (152639965*s[61])/64152 + s[65]/2 + 2*s[66] - 2*s[67] - 5*s[68] - 
       3*s[69] - 3*s[70] - 3*s[72] + 5*s[73] + (11*s[74])/4 - (11*s[75])/4 + 
       3*s[76] + s[77]/2 - 7*s[78] - 38*s[79] + (61*s[80])/6 - 114*s[82] - 
       24*s[84] - 36*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      Phi6[u, v, w]*(-5*s[2] + (15*s[3])/2 - (359*s[4])/4 - (8753*s[5])/88 - 
       (22947*s[6])/88 - (69392*s[7])/33 + (359005*s[8])/2376 + 
       (386021*s[9])/216 + (141181*s[10])/216 + (1783217*s[11])/792 + 
       (1879639*s[12])/792 + (545665*s[13])/396 + (224419*s[14])/396 + 
       (208123*s[15])/72 + (360142*s[16])/99 + (1192933*s[17])/396 + 
       (273715*s[18])/648 + (89413*s[19])/324 + (15978403*s[20])/3564 + 
       (12035201*s[21])/7128 - (983915*s[22])/891 - (384565*s[23])/198 - 
       (4192645*s[24])/1782 + (349677169*s[25])/128304 - 
       (208162969*s[26])/128304 + s[30] + 2*s[31] - s[32]/2 + (7*s[33])/4 - 
       7*s[34] + 2*s[35] - 4*s[36] - 2*s[37] - 52*s[38] + (915*s[39])/4 - 
       (1111*s[40])/4 + (911*s[41])/4 - (1333*s[42])/4 - (10185*s[43])/44 + 
       (21251*s[44])/88 - (3475*s[45])/11 + (101071*s[46])/44 - 
       (7105*s[47])/132 - (6737*s[48])/66 + (133801*s[49])/132 - 
       (78967*s[50])/44 - (16553*s[51])/66 - (48529*s[52])/264 + 
       (41071*s[53])/33 - (755*s[54])/11 + (355837*s[55])/44 + 
       (292813*s[56])/132 - (131122*s[57])/99 + (2022289*s[58])/594 - 
       (1010060*s[59])/297 - (15217999*s[60])/792 + (23117041*s[61])/21384 - 
       s[65]/2 - s[66] + 2*s[67] + 4*s[69] - s[70] + s[71]/2 + 2*s[76] - 
       s[77] + 2*s[78] - 52*s[79] + 17*s[80] - 114*s[82] + (3*s[83])/2 - 
       21*s[84] - 36*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      Phi6[u, v, w]*(-4*s[2] - 3*s[3] - 134*s[4] - (7079*s[5])/88 - 
       (20601*s[6])/88 - (277685*s[7])/132 + (382133*s[8])/2376 + 
       (386443*s[9])/216 + (117701*s[10])/216 + (912839*s[11])/396 + 
       (995827*s[12])/396 + (603539*s[13])/396 + (101063*s[14])/396 + 
       (201107*s[15])/72 + (1388459*s[16])/396 + (2123431*s[17])/792 + 
       (242243*s[18])/648 + (48451*s[19])/162 + (14909981*s[20])/3564 + 
       (10483711*s[21])/7128 - (3969817*s[22])/3564 - (1948181*s[23])/792 - 
       (16253585*s[24])/7128 + (379005065*s[25])/128304 - 
       (204124409*s[26])/128304 - 2*s[29] + s[30] - 4*s[31] - (3*s[32])/2 - 
       (35*s[33])/4 + 6*s[34] + 2*s[35] - 4*s[36] - 2*s[37] - 52*s[38] + 
       (915*s[39])/4 - (1111*s[40])/4 + (911*s[41])/4 - (1333*s[42])/4 - 
       (10185*s[43])/44 + (21251*s[44])/88 - (3475*s[45])/11 + 
       (101071*s[46])/44 - (7105*s[47])/132 - (6737*s[48])/66 + 
       (133801*s[49])/132 - (78967*s[50])/44 - (16553*s[51])/66 - 
       (48529*s[52])/264 + (41071*s[53])/33 - (755*s[54])/11 + 
       (355837*s[55])/44 + (292813*s[56])/132 - (131122*s[57])/99 + 
       (2022289*s[58])/594 - (1010060*s[59])/297 - (15217999*s[60])/792 + 
       (23117041*s[61])/21384 - s[65]/2 - s[66] + 2*s[67] + 4*s[69] - s[70] + 
       s[71]/2 + 2*s[76] - s[77] + 2*s[78] - 52*s[79] + 17*s[80] - 
       114*s[82] + (3*s[83])/2 - 21*s[84] - 36*s[85]) + 
     F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*(s[2]/2 - (3*s[3])/2 - 
       (1427*s[4])/8 - (10597*s[5])/88 - (3166*s[6])/11 - (249687*s[7])/88 + 
       (277865*s[8])/1188 + (129881*s[9])/54 + (167923*s[10])/216 + 
       (2449511*s[11])/792 + (2657233*s[12])/792 + (195661*s[13])/99 + 
       (286943*s[14])/792 + (277201*s[15])/72 + (956705*s[16])/198 + 
       (3003467*s[17])/792 + (41291*s[18])/81 + (36007*s[19])/81 + 
       (20338555*s[20])/3564 + (1829626*s[21])/891 - (10648993*s[22])/7128 - 
       (649525*s[23])/198 - (11026571*s[24])/3564 + (250846691*s[25])/64152 - 
       (137414957*s[26])/64152 - s[30]/2 - s[31] + s[33]/8 + s[34]/2 + 
       (37*s[36])/6 - (17*s[37])/4 - (185*s[38])/2 + (3149*s[39])/8 - 
       (10795*s[40])/24 + (2951*s[41])/8 - (13805*s[42])/24 - 
       (90929*s[43])/264 + (201721*s[44])/528 - (38515*s[45])/88 + 
       (446161*s[46])/132 - (199865*s[47])/1584 - (94067*s[48])/1584 + 
       (2596139*s[49])/1584 - (178691*s[50])/66 - (659023*s[51])/1584 - 
       (474703*s[52])/1584 + (737051*s[53])/396 + (8545*s[54])/132 + 
       (6244261*s[55])/528 + (4801421*s[56])/1584 - (1432183*s[57])/594 + 
       (72545809*s[58])/14256 - (73810129*s[59])/14256 - 
       (267699611*s[60])/9504 + (24208637*s[61])/16038 - 4*s[68] - 2*s[69] - 
       2*s[70] - 2*s[72] - 2*s[73] + (5*s[74])/2 - (5*s[75])/2 + 4*s[76] + 
       s[77] - 56*s[79] + (31*s[80])/2 - 34*s[82] - 12*s[84] - 14*s[85]) + 
     F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*(-7*s[2] + (39*s[3])/4 - 
       (375*s[4])/2 - (551*s[5])/4 - (1337*s[6])/4 - (476857*s[7])/144 + 
       (2416*s[8])/9 + (202745*s[9])/72 + (34157*s[10])/36 + 
       (57537*s[11])/16 + (93089*s[12])/24 + (329897*s[13])/144 + 
       (7869*s[14])/16 + (647615*s[15])/144 + (406507*s[16])/72 + 
       (643345*s[17])/144 + (41753*s[18])/72 + (38045*s[19])/72 + 
       (483977*s[20])/72 + (1032793*s[21])/432 - (758365*s[22])/432 - 
       (62807*s[23])/18 - (395599*s[24])/108 + (17641981*s[25])/3888 - 
       (9655201*s[26])/3888 + 2*s[29] - s[30]/2 - 5*s[31] - (71*s[33])/8 + 
       (5*s[34])/2 + (37*s[36])/6 - (17*s[37])/4 - (185*s[38])/2 + 
       (3149*s[39])/8 - (10795*s[40])/24 + (2951*s[41])/8 - 
       (13805*s[42])/24 - (90929*s[43])/264 + (201721*s[44])/528 - 
       (38515*s[45])/88 + (446161*s[46])/132 - (199865*s[47])/1584 - 
       (94067*s[48])/1584 + (2596139*s[49])/1584 - (178691*s[50])/66 - 
       (659023*s[51])/1584 - (474703*s[52])/1584 + (737051*s[53])/396 + 
       (8545*s[54])/132 + (6244261*s[55])/528 + (4801421*s[56])/1584 - 
       (1432183*s[57])/594 + (72545809*s[58])/14256 - 
       (73810129*s[59])/14256 - (267699611*s[60])/9504 + 
       (24208637*s[61])/16038 - 4*s[68] - 2*s[69] - 2*s[70] - 2*s[72] - 
       2*s[73] + (5*s[74])/2 - (5*s[75])/2 + 4*s[76] + s[77] - 56*s[79] + 
       (31*s[80])/2 - 34*s[82] - 12*s[84] - 14*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*Phi6[u, v, w]*
      (-10*s[3] - (67*s[4])/2 - (51*s[5])/44 - (1075*s[6])/22 - 
       (128723*s[7])/264 + (9695*s[8])/396 + (14005*s[9])/36 + 
       (3685*s[10])/18 + (17965*s[11])/33 + (148609*s[12])/264 + 
       (31569*s[13])/88 + (17657*s[14])/264 + (17579*s[15])/24 + 
       (10099*s[16])/11 + (105305*s[17])/132 - (155*s[18])/54 + 
       (6010*s[19])/27 + (1147945*s[20])/1188 + (654569*s[21])/2376 - 
       (598717*s[22])/2376 - (1055*s[23])/88 - (1791925*s[24])/2376 + 
       (3828173*s[25])/5346 - (887218*s[26])/2673 + 6*s[37] - 11*s[38] + 
       (25*s[39])/2 - (25*s[40])/2 + 19*s[41] - 5*s[42] - (731*s[43])/22 + 
       (1259*s[44])/44 + (211*s[45])/22 + (713*s[46])/11 + (1731*s[47])/44 - 
       (3131*s[48])/44 + (8931*s[49])/44 - (2331*s[50])/22 + (599*s[51])/44 + 
       (457*s[52])/44 + (494*s[53])/11 + (2791*s[54])/22 + 
       (31861*s[55])/132 - (5671*s[56])/44 + (4808*s[57])/11 - 
       (13579*s[58])/132 + (2269*s[59])/132 - (324883*s[60])/264 - 
       (10913*s[61])/198 + 2*s[68] - 2*s[69] + 2*s[77] - 28*s[82] - 
       8*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*Phi6[u, v, w]*
      (10*s[3] + (29*s[4])/2 + (107*s[5])/4 + 70*s[6] + (9715*s[7])/24 - 
       (1225*s[8])/36 - (12115*s[9])/36 - (974*s[10])/9 - (5015*s[11])/12 - 
       (10235*s[12])/24 - (1977*s[13])/8 - (3385*s[14])/24 - 
       (13889*s[15])/24 - (1407*s[16])/2 - (3773*s[17])/6 - (2663*s[18])/27 - 
       (691*s[19])/27 - (94619*s[20])/108 - (73813*s[21])/216 + 
       (43565*s[22])/216 + (3545*s[23])/8 + (88739*s[24])/216 - 
       (494069*s[25])/972 + (313943*s[26])/972 + 6*s[37] - 11*s[38] + 
       (25*s[39])/2 - (25*s[40])/2 + 19*s[41] - 5*s[42] - (731*s[43])/22 + 
       (1259*s[44])/44 + (211*s[45])/22 + (713*s[46])/11 + (1731*s[47])/44 - 
       (3131*s[48])/44 + (8931*s[49])/44 - (2331*s[50])/22 + (599*s[51])/44 + 
       (457*s[52])/44 + (494*s[53])/11 + (2791*s[54])/22 + 
       (31861*s[55])/132 - (5671*s[56])/44 + (4808*s[57])/11 - 
       (13579*s[58])/132 + (2269*s[59])/132 - (324883*s[60])/264 - 
       (10913*s[61])/198 + 2*s[68] - 2*s[69] + 2*s[77] - 28*s[82] - 
       8*s[85]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*
      ((-7*s[2])/4 - 4*s[3] - (89*s[4])/8 - (1103*s[5])/88 - (3277*s[6])/88 - 
       (141121*s[7])/528 + (1503*s[8])/88 + (1787*s[9])/8 + 85*s[10] + 
       (25617*s[11])/88 + (53441*s[12])/176 + (98147*s[13])/528 + 
       (11335*s[14])/176 + (18029*s[15])/48 + (61865*s[16])/132 + 
       (26093*s[17])/66 + (3001*s[18])/72 + (3893*s[19])/72 + 
       (218653*s[20])/396 + (320729*s[21])/1584 - (24153*s[22])/176 - 
       (103603*s[23])/528 - (169705*s[24])/528 + (2597767*s[25])/7128 - 
       (1479949*s[26])/7128 - s[32]/4 - s[33] - s[36] - s[37]/4 - 
       (13*s[38])/4 + (93*s[39])/8 - (109*s[40])/8 + 8*s[41] - (29*s[42])/2 - 
       (1179*s[43])/88 + (2433*s[44])/176 - (1313*s[45])/44 + 
       (14877*s[46])/88 - (305*s[47])/88 - (211*s[48])/22 + (4963*s[49])/88 - 
       (5491*s[50])/44 - (1275*s[51])/88 - (1509*s[52])/176 + 
       (958*s[53])/11 - (65*s[54])/88 + (158071*s[55])/264 + 
       (14565*s[56])/88 - (2567*s[57])/44 + (22117*s[58])/88 - 
       (10649*s[59])/44 - (740359*s[60])/528 + (428375*s[61])/4752 + s[68] - 
       s[73] - s[76] - 2*s[77] - 8*s[82] + 2*s[85]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      (-s[2] + 3*s[3] + (33*s[4])/8 - (687*s[5])/88 - (17*s[6])/22 - 
       (22799*s[7])/528 + s[8]/11 + (361*s[9])/8 + (75*s[10])/8 + 
       (7983*s[11])/176 + (4485*s[12])/88 + (10957*s[13])/528 + 
       (4137*s[14])/176 + (2155*s[15])/48 + (15473*s[16])/264 + 
       (20081*s[17])/528 + (1081*s[18])/36 - (1109*s[19])/72 + 
       (97117*s[20])/792 + (100657*s[21])/1584 - (12745*s[22])/528 - 
       (2924*s[23])/33 - (4909*s[24])/264 + (549433*s[25])/14256 - 
       (607681*s[26])/14256 - s[32]/4 - s[33] - s[36] - s[37]/4 - 
       (13*s[38])/4 + (93*s[39])/8 - (109*s[40])/8 + 8*s[41] - (29*s[42])/2 - 
       (1179*s[43])/88 + (2433*s[44])/176 - (1313*s[45])/44 + 
       (14877*s[46])/88 - (305*s[47])/88 - (211*s[48])/22 + (4963*s[49])/88 - 
       (5491*s[50])/44 - (1275*s[51])/88 - (1509*s[52])/176 + 
       (958*s[53])/11 - (65*s[54])/88 + (158071*s[55])/264 + 
       (14565*s[56])/88 - (2567*s[57])/44 + (22117*s[58])/88 - 
       (10649*s[59])/44 - (740359*s[60])/528 + (428375*s[61])/4752 + s[68] - 
       s[73] - s[76] - 2*s[77] - 8*s[82] + 2*s[85]) + 
     F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((7*s[2])/2 + (27*s[3])/2 - (41*s[4])/4 + (711*s[5])/11 + 
       (3353*s[6])/44 + (46557*s[7])/88 + (3479*s[8])/198 - (8759*s[9])/18 - 
       (3823*s[10])/18 - (143075*s[11])/264 - (61961*s[12])/132 - 
       (71675*s[13])/264 - (79175*s[14])/264 - (6825*s[15])/8 - 
       (63923*s[16])/66 - (265655*s[17])/264 - (15215*s[18])/108 - 
       (2248*s[19])/27 - (755615*s[20])/594 - (1410311*s[21])/2376 + 
       (650389*s[22])/2376 + (8335*s[23])/66 + (373849*s[24])/594 - 
       (11712389*s[25])/21384 + (9532697*s[26])/21384 + s[29] + 3*s[31] + 
       s[32] - (3*s[33])/2 - 4*s[34] + (5*s[36])/6 - (20*s[37])/3 + 9*s[38] - 
       (195*s[39])/8 + (565*s[40])/24 - (199*s[41])/8 + (629*s[42])/24 + 
       (9071*s[43])/264 - (16309*s[44])/528 + (7681*s[45])/132 - 
       (95503*s[46])/264 - (14275*s[47])/1584 + (56939*s[48])/1584 - 
       (294215*s[49])/1584 + (9943*s[50])/33 + (31219*s[51])/1584 + 
       (7831*s[52])/1584 - (178163*s[53])/792 - (3019*s[54])/66 - 
       (258755*s[55])/176 - (153127*s[56])/528 - (48815*s[57])/132 - 
       (1761277*s[58])/4752 + (2088883*s[59])/4752 + (31061741*s[60])/9504 - 
       (7503671*s[61])/42768 + s[66] + 2*s[70] + 2*s[73] + 2*s[76] - 
       3*s[77] - s[78] - 10*s[79] - (4*s[80])/3 + 24*s[82] + 4*s[85]) + 
     F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*(-4*s[2] + (7*s[3])/4 + 
       (297*s[4])/8 - (863*s[5])/44 - (81*s[6])/88 + (215987*s[7])/1584 - 
       (15319*s[8])/264 - (194*s[9])/3 - (449*s[10])/12 - (84707*s[11])/528 - 
       (19751*s[12])/88 - (162277*s[13])/1584 + (52399*s[14])/528 - 
       (28217*s[15])/144 - (211631*s[16])/792 - (243779*s[17])/1584 + 
       (1195*s[18])/54 - (21043*s[19])/216 - (429265*s[20])/2376 + 
       (174557*s[21])/4752 + (88937*s[22])/1584 + (20549*s[23])/99 + 
       (46817*s[24])/198 - (6121331*s[25])/21384 + (1407041*s[26])/21384 - 
       2*s[29] + s[30] - 5*s[31] - 3*s[33] + 9*s[34] + (5*s[36])/6 - 
       (20*s[37])/3 + 9*s[38] - (195*s[39])/8 + (565*s[40])/24 - 
       (199*s[41])/8 + (629*s[42])/24 + (9071*s[43])/264 - 
       (16309*s[44])/528 + (7681*s[45])/132 - (95503*s[46])/264 - 
       (14275*s[47])/1584 + (56939*s[48])/1584 - (294215*s[49])/1584 + 
       (9943*s[50])/33 + (31219*s[51])/1584 + (7831*s[52])/1584 - 
       (178163*s[53])/792 - (3019*s[54])/66 - (258755*s[55])/176 - 
       (153127*s[56])/528 - (48815*s[57])/132 - (1761277*s[58])/4752 + 
       (2088883*s[59])/4752 + (31061741*s[60])/9504 - (7503671*s[61])/42768 + 
       s[66] + 2*s[70] + 2*s[73] + 2*s[76] - 3*s[77] - s[78] - 10*s[79] - 
       (4*s[80])/3 + 24*s[82] + 4*s[85]) + HPL[{0, 1, 1, 1}, 1 - v]*
      Phi6[u, v, w]*(12*s[3] + (39*s[4])/2 - (29*s[5])/22 + (765*s[6])/22 + 
       (7543*s[7])/33 - (856*s[8])/99 - (1679*s[9])/9 - (1043*s[10])/18 - 
       (40475*s[11])/132 - (50623*s[12])/132 - (17585*s[13])/66 + 
       (1607*s[14])/66 - (1055*s[15])/6 - (23627*s[16])/66 - 
       (6683*s[17])/44 - (1631*s[18])/54 - (3361*s[19])/54 - 
       (230839*s[20])/594 - (73099*s[21])/594 + (73283*s[22])/594 + 
       (25985*s[23])/132 + (341107*s[24])/1188 - (1107692*s[25])/2673 + 
       (508823*s[26])/2673 - 6*s[37] + (65*s[38])/2 - (403*s[39])/4 + 
       (487*s[40])/4 - 96*s[41] + (251*s[42])/2 + (6113*s[43])/44 - 
       (12383*s[44])/88 + (1559*s[45])/11 - (45065*s[46])/44 - 
       (5195*s[47])/132 + (5788*s[48])/33 - (88981*s[49])/132 + 
       (17971*s[50])/22 + (8909*s[51])/132 + (17173*s[52])/264 - 
       (17228*s[53])/33 - (4789*s[54])/44 - (450443*s[55])/132 - 
       (33565*s[56])/44 + (4289*s[57])/44 - (527405*s[58])/396 + 
       (269041*s[59])/198 + (7388011*s[60])/792 - (2934131*s[61])/7128 - 
       3*s[68] + 3*s[69] - 3*s[77] + 114*s[82] + 12*s[85]) + 
     HPL[{0, 1, 1, 1}, 1 - w]*Phi6[u, v, w]*((9*s[2])/2 + 30*s[3] + 
       (141*s[4])/2 + (1167*s[5])/22 + (8495*s[6])/44 + (17520*s[7])/11 - 
       (36485*s[8])/396 - (11881*s[9])/9 - (19895*s[10])/36 - 
       (464555*s[11])/264 - (493081*s[12])/264 - (37735*s[13])/33 - 
       (11521*s[14])/33 - 2179*s[15] - (372817*s[16])/132 - 
       (615569*s[17])/264 - (5714*s[18])/27 - (10807*s[19])/27 - 
       (3925165*s[20])/1188 - (1353673*s[21])/1188 + (491923*s[22])/594 + 
       (228433*s[23])/264 + (4819951*s[24])/2376 - (47333435*s[25])/21384 + 
       (25665467*s[26])/21384 - (3*s[32])/2 - 6*s[37] + (65*s[38])/2 - 
       (403*s[39])/4 + (487*s[40])/4 - 96*s[41] + (251*s[42])/2 + 
       (6113*s[43])/44 - (12383*s[44])/88 + (1559*s[45])/11 - 
       (45065*s[46])/44 - (5195*s[47])/132 + (5788*s[48])/33 - 
       (88981*s[49])/132 + (17971*s[50])/22 + (8909*s[51])/132 + 
       (17173*s[52])/264 - (17228*s[53])/33 - (4789*s[54])/44 - 
       (450443*s[55])/132 - (33565*s[56])/44 + (4289*s[57])/44 - 
       (527405*s[58])/396 + (269041*s[59])/198 + (7388011*s[60])/792 - 
       (2934131*s[61])/7128 - 3*s[68] + 3*s[69] - 3*s[77] + 114*s[82] + 
       12*s[85]) + F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((37*s[2])/4 + (303*s[3])/8 + (3301*s[4])/16 + (14891*s[5])/88 + 
       (76441*s[6])/176 + (11381809*s[7])/3168 - (1174411*s[8])/4752 - 
       (326663*s[9])/108 - (109855*s[10])/108 - (12376975*s[11])/3168 - 
       (3308627*s[12])/792 - (2637691*s[13])/1056 - (2084047*s[14])/3168 - 
       (469453*s[15])/96 - (1624973*s[16])/264 - (15703145*s[17])/3168 - 
       (224851*s[18])/324 - (694175*s[19])/1296 - (104721599*s[20])/14256 - 
       (77467189*s[21])/28512 + (53430269*s[22])/28512 + (254021*s[23])/66 + 
       (28127387*s[24])/7128 - (626991305*s[25])/128304 + 
       (355461989*s[26])/128304 + 2*s[29] - s[30]/2 + 3*s[31] + (5*s[32])/2 + 
       (9*s[33])/4 - (7*s[34])/2 - (5*s[35])/2 - (11*s[36])/2 + 
       (89*s[37])/12 + 92*s[38] - 397*s[39] + (931*s[40])/2 - (745*s[41])/2 + 
       (2309*s[42])/4 + (4131*s[43])/11 - (71647*s[44])/176 + 
       (133951*s[45])/264 - (972925*s[46])/264 + (57439*s[47])/528 + 
       (79087*s[48])/528 - (913189*s[49])/528 + (31428*s[50])/11 + 
       (215203*s[51])/528 + (166343*s[52])/528 - (392021*s[53])/198 + 
       (3979*s[54])/132 - (2237581*s[55])/176 - (5459897*s[56])/1584 + 
       (6134791*s[57])/2376 - (79467181*s[58])/14256 + 
       (79505359*s[59])/14256 + (96607625*s[60])/3168 - 
       (220014067*s[61])/128304 - s[66] + 2*s[69] + s[70] - s[71]/2 + s[72] - 
       s[73] - (9*s[74])/4 + (9*s[75])/4 + s[76] + s[77]/2 + 48*s[79] - 
       (85*s[80])/6 + 86*s[82] + 12*s[84] + 22*s[85]) + 
     F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((23*s[2])/4 - (125*s[3])/8 + (2547*s[4])/16 + (5889*s[5])/44 + 
       (60337*s[6])/176 + (9862577*s[7])/3168 - (1264039*s[8])/4752 - 
       (284753*s[9])/108 - (185747*s[10])/216 - (10808815*s[11])/3168 - 
       (2967143*s[12])/792 - (7001921*s[13])/3168 - (1658347*s[14])/3168 - 
       (1166959*s[15])/288 - (521941*s[16])/99 - (1427857*s[17])/352 - 
       (187231*s[18])/324 - (557123*s[19])/1296 - (90408179*s[20])/14256 - 
       (65332429*s[21])/28512 + (47011769*s[22])/28512 + 
       (1314455*s[23])/396 + (24306845*s[24])/7128 - (550131995*s[25])/
        128304 + (305854211*s[26])/128304 - s[29] - 2*s[31] - (7*s[32])/2 - 
       (27*s[33])/8 + 5*s[34] - (5*s[35])/2 - (11*s[36])/2 + (89*s[37])/12 + 
       92*s[38] - 397*s[39] + (931*s[40])/2 - (745*s[41])/2 + 
       (2309*s[42])/4 + (4131*s[43])/11 - (71647*s[44])/176 + 
       (133951*s[45])/264 - (972925*s[46])/264 + (57439*s[47])/528 + 
       (79087*s[48])/528 - (913189*s[49])/528 + (31428*s[50])/11 + 
       (215203*s[51])/528 + (166343*s[52])/528 - (392021*s[53])/198 + 
       (3979*s[54])/132 - (2237581*s[55])/176 - (5459897*s[56])/1584 + 
       (6134791*s[57])/2376 - (79467181*s[58])/14256 + 
       (79505359*s[59])/14256 + (96607625*s[60])/3168 - 
       (220014067*s[61])/128304 - s[66] + 2*s[69] + s[70] - s[71]/2 + s[72] - 
       s[73] - (9*s[74])/4 + (9*s[75])/4 + s[76] + s[77]/2 + 48*s[79] - 
       (85*s[80])/6 + 86*s[82] + 12*s[84] + 22*s[85]) + 
     F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      ((15*s[2])/4 + (87*s[3])/8 + (2285*s[4])/16 + (6033*s[5])/44 + 
       (57131*s[6])/176 + (8955481*s[7])/3168 - (916141*s[8])/4752 - 
       (522757*s[9])/216 - (166301*s[10])/216 - (9818899*s[11])/3168 - 
       (2663981*s[12])/792 - (2137007*s[13])/1056 - (1573795*s[14])/3168 - 
       (118883*s[15])/32 - (104107*s[16])/22 - (11616545*s[17])/3168 - 
       (357899*s[18])/648 - (490583*s[19])/1296 - (82434995*s[20])/14256 - 
       (60564085*s[21])/28512 + (42640265*s[22])/28512 + (393641*s[23])/132 + 
       (22026221*s[24])/7128 - (62173609*s[25])/16038 + 
       (70030337*s[26])/32076 + 2*s[29] - s[30]/2 + 4*s[31] + (5*s[33])/4 - 
       (9*s[34])/2 - (3*s[35])/2 - s[36]/6 + 9*s[37] + (173*s[38])/2 - 
       319*s[39] + (2245*s[40])/6 - (1165*s[41])/4 + (2651*s[42])/6 + 
       (10930*s[43])/33 - (171535*s[44])/528 + (20369*s[45])/44 - 
       (415177*s[46])/132 + (112301*s[47])/1584 + (259349*s[48])/1584 - 
       (2278535*s[49])/1584 + (316141*s[50])/132 + (500629*s[51])/1584 + 
       (419455*s[52])/1584 - (1311223*s[53])/792 + (2477*s[54])/33 - 
       (5711171*s[55])/528 - (4736933*s[56])/1584 + (4633291*s[57])/2376 - 
       (67474123*s[58])/14256 + (66829003*s[59])/14256 + 
       (249710165*s[60])/9504 - (23688893*s[61])/16038 + s[65]/2 + s[66] - 
       2*s[67] + 3*s[68] - 5*s[69] + 2*s[70] - s[71] - s[72] - s[73] + 
       s[74]/4 - s[75]/4 - 5*s[76] - (3*s[77])/2 - 3*s[78] + 38*s[79] - 
       8*s[80] + 114*s[82] - (3*s[83])/2 + 21*s[84] + 36*s[85]) + 
     F1[w, u, v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((13*s[2])/4 + (151*s[3])/8 + (2263*s[4])/16 + (1505*s[5])/11 + 
       (63785*s[6])/176 + (3074035*s[7])/1056 - (986719*s[8])/4752 - 
       (265595*s[9])/108 - (182825*s[10])/216 - (10066891*s[11])/3168 - 
       (2706533*s[12])/792 - (6479533*s[13])/3168 - (1959775*s[14])/3168 - 
       (1115999*s[15])/288 - (3934327*s[16])/792 - (12547477*s[17])/3168 - 
       (89741*s[18])/162 - (548879*s[19])/1296 - (85625939*s[20])/14256 - 
       (63315577*s[21])/28512 + (43449941*s[22])/28512 + 
       (2230331*s[23])/792 + (11643421*s[24])/3564 - (506326589*s[25])/
        128304 + (289223225*s[26])/128304 - s[30] - s[31] - s[32]/2 - 
       (41*s[33])/8 + 5*s[34] - (3*s[35])/2 - s[36]/6 + 9*s[37] + 
       (173*s[38])/2 - 319*s[39] + (2245*s[40])/6 - (1165*s[41])/4 + 
       (2651*s[42])/6 + (10930*s[43])/33 - (171535*s[44])/528 + 
       (20369*s[45])/44 - (415177*s[46])/132 + (112301*s[47])/1584 + 
       (259349*s[48])/1584 - (2278535*s[49])/1584 + (316141*s[50])/132 + 
       (500629*s[51])/1584 + (419455*s[52])/1584 - (1311223*s[53])/792 + 
       (2477*s[54])/33 - (5711171*s[55])/528 - (4736933*s[56])/1584 + 
       (4633291*s[57])/2376 - (67474123*s[58])/14256 + 
       (66829003*s[59])/14256 + (249710165*s[60])/9504 - 
       (23688893*s[61])/16038 + s[65]/2 + s[66] - 2*s[67] + 3*s[68] - 
       5*s[69] + 2*s[70] - s[71] - s[72] - s[73] + s[74]/4 - s[75]/4 - 
       5*s[76] - (3*s[77])/2 - 3*s[78] + 38*s[79] - 8*s[80] + 114*s[82] - 
       (3*s[83])/2 + 21*s[84] + 36*s[85]) + F1[v, w, u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((23*s[2])/4 - (59*s[3])/8 + (4059*s[4])/16 + 
       (21071*s[5])/88 + (90207*s[6])/176 + (1686739*s[7])/352 - 
       (1734961*s[8])/4752 - (110573*s[9])/27 - (139207*s[10])/108 - 
       (16652569*s[11])/3168 - (565831*s[12])/99 - (10766299*s[13])/3168 - 
       (2262517*s[14])/3168 - (1830965*s[15])/288 - (6390781*s[16])/792 - 
       (19882519*s[17])/3168 - (291379*s[18])/324 - (897737*s[19])/1296 - 
       (137999909*s[20])/14256 - (101423647*s[21])/28512 + 
       (72348239*s[22])/28512 + (4217195*s[23])/792 + (9255971*s[24])/1782 - 
       (847396043*s[25])/128304 + (472799519*s[26])/128304 - s[30]/2 + 
       4*s[31] - (3*s[32])/2 - (3*s[33])/4 - (13*s[34])/2 - (5*s[35])/2 - 
       (29*s[36])/2 + (97*s[37])/6 + 164*s[38] - 616*s[39] + (1377*s[40])/2 - 
       538*s[41] + (3449*s[42])/4 + (6355*s[43])/11 - (103871*s[44])/176 + 
       (100781*s[45])/132 - (722621*s[46])/132 + (31059*s[47])/176 + 
       (27715*s[48])/176 - (461809*s[49])/176 + (92663*s[50])/22 + 
       (316949*s[51])/528 + (84797*s[52])/176 - (2327627*s[53])/792 - 
       (521*s[54])/132 - (9963677*s[55])/528 - (7946723*s[56])/1584 + 
       (9247099*s[57])/2376 - (118581649*s[58])/14256 + 
       (119870845*s[59])/14256 + (143448985*s[60])/3168 - 
       (79631137*s[61])/32076 + 2*s[68] - 2*s[69] + 5*s[70] - s[71]/2 + 
       s[72] - 5*s[73] - (9*s[74])/4 + (9*s[75])/4 - 7*s[76] - (9*s[77])/2 + 
       7*s[78] + 52*s[79] - (35*s[80])/3 + 114*s[82] + (3*s[83])/2 + 
       27*s[84] + 36*s[85]) + F1[w, u, v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((29*s[2])/4 + (125*s[3])/8 + (4341*s[4])/16 + (22239*s[5])/88 + 
       (103985*s[6])/176 + (5427209*s[7])/1056 - (1789267*s[8])/4752 - 
       (939619*s[9])/216 - (39313*s[10])/27 - (17782969*s[11])/3168 - 
       (597277*s[12])/99 - (11391955*s[13])/3168 - (2841793*s[14])/3168 - 
       (1998281*s[15])/288 - (3477911*s[16])/396 - (22199107*s[17])/3168 - 
       (621395*s[18])/648 - (1026149*s[19])/1296 - (149193785*s[20])/14256 - 
       (110183059*s[21])/28512 + (76925675*s[22])/28512 + 
       (2129665*s[23])/396 + (40519943*s[24])/7128 - (56245595*s[25])/8019 + 
       (126856541*s[26])/32076 + 3*s[31] - s[32] - (9*s[33])/8 - 3*s[34] - 
       (5*s[35])/2 - (29*s[36])/2 + (97*s[37])/6 + 164*s[38] - 616*s[39] + 
       (1377*s[40])/2 - 538*s[41] + (3449*s[42])/4 + (6355*s[43])/11 - 
       (103871*s[44])/176 + (100781*s[45])/132 - (722621*s[46])/132 + 
       (31059*s[47])/176 + (27715*s[48])/176 - (461809*s[49])/176 + 
       (92663*s[50])/22 + (316949*s[51])/528 + (84797*s[52])/176 - 
       (2327627*s[53])/792 - (521*s[54])/132 - (9963677*s[55])/528 - 
       (7946723*s[56])/1584 + (9247099*s[57])/2376 - (118581649*s[58])/
        14256 + (119870845*s[59])/14256 + (143448985*s[60])/3168 - 
       (79631137*s[61])/32076 + 2*s[68] - 2*s[69] + 5*s[70] - s[71]/2 + 
       s[72] - 5*s[73] - (9*s[74])/4 + (9*s[75])/4 - 7*s[76] - (9*s[77])/2 + 
       7*s[78] + 52*s[79] - (35*s[80])/3 + 114*s[82] + (3*s[83])/2 + 
       27*s[84] + 36*s[85]) + HPL[{0, 0, 1, 1}, 1 - v]*Phi6[u, v, w]*
      (8*s[2] + (41*s[3])/2 + (1437*s[4])/4 + (8751*s[5])/44 + 
       (6176*s[6])/11 + (1393715*s[7])/264 - (128294*s[8])/297 - 
       (481165*s[9])/108 - (144803*s[10])/108 - (4595585*s[11])/792 - 
       (1264645*s[12])/198 - (3047723*s[13])/792 - (402437*s[14])/792 - 
       (501709*s[15])/72 - (3484801*s[16])/396 - (5251085*s[17])/792 - 
       (313895*s[18])/324 - (243715*s[19])/324 - (37054915*s[20])/3564 - 
       (25962533*s[21])/7128 + (19834747*s[22])/7128 + (648110*s[23])/99 + 
       (5039330*s[24])/891 - (479904545*s[25])/64152 + 
       (256160261*s[26])/64152 + 4*s[29] + 8*s[31] + 2*s[32] + (35*s[33])/2 - 
       12*s[34] - 4*s[35] + 3*s[36] + (15*s[37])/2 + 148*s[38] - 
       (2501*s[39])/4 + (2945*s[40])/4 - (2373*s[41])/4 + (3625*s[42])/4 + 
       (25683*s[43])/44 - (55185*s[44])/88 + (34829*s[45])/44 - 
       (63906*s[46])/11 + (16363*s[47])/88 + (16605*s[48])/88 - 
       (231513*s[49])/88 + (99141*s[50])/22 + (176303*s[51])/264 + 
       (44625*s[52])/88 - (68647*s[53])/22 + (1554*s[54])/11 - 
       (1776833*s[55])/88 - (484031*s[56])/88 + (265297*s[57])/66 - 
       (6964799*s[58])/792 + (6962711*s[59])/792 + (8457307*s[60])/176 - 
       (9606715*s[61])/3564 + s[65] + 2*s[66] - 4*s[67] - 8*s[69] + 2*s[70] - 
       s[71] - 2*s[74] + 2*s[75] - 4*s[76] + 2*s[77] - 4*s[78] + 104*s[79] - 
       35*s[80] + 228*s[82] - 3*s[83] + 42*s[84] + 72*s[85]) + 
     HPL[{0, 0, 1, 1}, 1 - w]*Phi6[u, v, w]*(7*s[2] - 18*s[3] + 226*s[4] + 
       (6065*s[5])/22 + (14119*s[6])/22 + (699665*s[7])/132 - 
       (110566*s[8])/297 - (122225*s[9])/27 - (42934*s[10])/27 - 
       (2259803*s[11])/396 - (598387*s[12])/99 - (1392521*s[13])/396 - 
       (538829*s[14])/396 - (260599*s[15])/36 - (1805053*s[16])/198 - 
       (2969339*s[17])/396 - (86575*s[18])/81 - (113371*s[19])/162 - 
       (10005188*s[20])/891 - (15194093*s[21])/3564 + (9935569*s[22])/3564 + 
       (496105*s[23])/99 + (10503989*s[24])/1782 - (222033221*s[25])/32076 + 
       (131993099*s[26])/32076 - 2*s[30] - 4*s[31] + s[32] - 8*s[33] + 
       16*s[34] - 4*s[35] + 3*s[36] + (15*s[37])/2 + 148*s[38] - 
       (2501*s[39])/4 + (2945*s[40])/4 - (2373*s[41])/4 + (3625*s[42])/4 + 
       (25683*s[43])/44 - (55185*s[44])/88 + (34829*s[45])/44 - 
       (63906*s[46])/11 + (16363*s[47])/88 + (16605*s[48])/88 - 
       (231513*s[49])/88 + (99141*s[50])/22 + (176303*s[51])/264 + 
       (44625*s[52])/88 - (68647*s[53])/22 + (1554*s[54])/11 - 
       (1776833*s[55])/88 - (484031*s[56])/88 + (265297*s[57])/66 - 
       (6964799*s[58])/792 + (6962711*s[59])/792 + (8457307*s[60])/176 - 
       (9606715*s[61])/3564 + s[65] + 2*s[66] - 4*s[67] - 8*s[69] + 2*s[70] - 
       s[71] - 2*s[74] + 2*s[75] - 4*s[76] + 2*s[77] - 4*s[78] + 104*s[79] - 
       35*s[80] + 228*s[82] - 3*s[83] + 42*s[84] + 72*s[85]) + 
     F1[v, w, u]*HPL[{0, 1, 1}, 1 - w]*(4*s[2] + (15*s[3])/2 + 
       (2259*s[4])/4 + (9511*s[5])/22 + (46155*s[6])/44 + 
       (7671329*s[7])/792 - (35053*s[8])/44 - (24596*s[9])/3 - 
       (5025*s[10])/2 - (2834765*s[11])/264 - (521957*s[12])/44 - 
       (5659735*s[13])/792 - (292241*s[14])/264 - (906275*s[15])/72 - 
       (6418385*s[16])/396 - (9664613*s[17])/792 - (190349*s[18])/108 - 
       (156115*s[19])/108 - (5691409*s[20])/297 - (16429969*s[21])/2376 + 
       (1349669*s[22])/264 + (1110115*s[23])/99 + (1045960*s[24])/99 - 
       (146448653*s[25])/10692 + (79746089*s[26])/10692 - 2*s[29] + 2*s[30] + 
       s[31] + (3*s[32])/2 - s[33] - 7*s[34] - 6*s[35] - (49*s[36])/3 + 
       (104*s[37])/3 + (729*s[38])/2 - (2745*s[39])/2 + (9197*s[40])/6 - 
       (4727*s[41])/4 + (23147*s[42])/12 + (7499*s[43])/6 - 
       (15649*s[44])/12 + (17983*s[45])/12 - (135533*s[46])/12 + 
       (3761*s[47])/9 + (2831*s[48])/9 - (103015*s[49])/18 + 
       (103711*s[50])/12 + (47839*s[51])/36 + (38929*s[52])/36 - 
       (213913*s[53])/36 + (763*s[54])/12 - 37975*s[55] - (60473*s[56])/6 + 
       (114431*s[57])/12 - (472627*s[58])/27 + (950441*s[59])/54 + 
       (20120051*s[60])/216 - (9706447*s[61])/1944 - s[65]/2 + 2*s[67] + 
       4*s[68] + 9*s[70] - s[71]/2 + 4*s[72] - 2*s[73] - 5*s[74] + 5*s[75] - 
       8*s[76] - 6*s[77] + 4*s[78] + 102*s[79] - (86*s[80])/3 + 252*s[82] + 
       (3*s[83])/2 + 51*s[84] + 72*s[85]) + F1[w, u, v]*HPL[{0, 1, 1}, 1 - v]*
      (18*s[2] + 66*s[3] + 597*s[4] + (21777*s[5])/44 + (54055*s[6])/44 + 
       (938237*s[7])/88 - (158627*s[8])/198 - (323219*s[9])/36 - 
       (106819*s[10])/36 - (3093223*s[11])/264 - (1677787*s[12])/132 - 
       (2010487*s[13])/264 - (445507*s[14])/264 - (113861*s[15])/8 - 
       (2394269*s[16])/132 - (3752323*s[17])/264 - (216385*s[18])/108 - 
       (88945*s[19])/54 - (25609493*s[20])/1188 - (18796123*s[21])/2376 + 
       (13254509*s[22])/2376 + (1515055*s[23])/132 + (7021007*s[24])/594 - 
       (315107971*s[25])/21384 + (176065891*s[26])/21384 - 4*s[30] + 
       4*s[31] + 2*s[32] - (5*s[33])/2 - 2*s[34] - 6*s[35] - (49*s[36])/3 + 
       (104*s[37])/3 + (729*s[38])/2 - (2745*s[39])/2 + (9197*s[40])/6 - 
       (4727*s[41])/4 + (23147*s[42])/12 + (7499*s[43])/6 - 
       (15649*s[44])/12 + (17983*s[45])/12 - (135533*s[46])/12 + 
       (3761*s[47])/9 + (2831*s[48])/9 - (103015*s[49])/18 + 
       (103711*s[50])/12 + (47839*s[51])/36 + (38929*s[52])/36 - 
       (213913*s[53])/36 + (763*s[54])/12 - 37975*s[55] - (60473*s[56])/6 + 
       (114431*s[57])/12 - (472627*s[58])/27 + (950441*s[59])/54 + 
       (20120051*s[60])/216 - (9706447*s[61])/1944 - s[65]/2 + 2*s[67] + 
       4*s[68] + 9*s[70] - s[71]/2 + 4*s[72] - 2*s[73] - 5*s[74] + 5*s[75] - 
       8*s[76] - 6*s[77] + 4*s[78] + 102*s[79] - (86*s[80])/3 + 252*s[82] + 
       (3*s[83])/2 + 51*s[84] + 72*s[85]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*Phi6[u, v, w]*((21*s[2])/2 + 5*s[3] + 
       (3655*s[4])/8 + (16121*s[5])/44 + (80219*s[6])/88 + 
       (6375161*s[7])/792 - (1531175*s[8])/2376 - (1476025*s[9])/216 - 
       (229213*s[10])/108 - (3486557*s[11])/396 - (7600493*s[12])/792 - 
       (4535891*s[13])/792 - (231061*s[14])/198 - (383087*s[15])/36 - 
       (10704311*s[16])/792 - (2759641*s[17])/264 - (1005107*s[18])/648 - 
       (172429*s[19])/162 - (14402255*s[20])/891 - (21022019*s[21])/3564 + 
       (3779542*s[22])/891 + (3695201*s[23])/396 + (15371915*s[24])/1782 - 
       (1427898437*s[25])/128304 + (794134637*s[26])/128304 + (3*s[30])/2 + 
       5*s[31] + (21*s[33])/8 - (11*s[34])/2 - 4*s[35] - (85*s[36])/6 + 
       (83*s[37])/4 + (489*s[38])/2 - (8281*s[39])/8 + (28543*s[40])/24 - 
       (7547*s[41])/8 + (35993*s[42])/24 + (256373*s[43])/264 - 
       (534739*s[44])/528 + (114655*s[45])/88 - (1254457*s[46])/132 + 
       (485147*s[47])/1584 + (435581*s[48])/1584 - (6897185*s[49])/1584 + 
       (483107*s[50])/66 + (1675081*s[51])/1584 + (1322089*s[52])/1584 - 
       (507314*s[53])/99 + (32165*s[54])/132 - (5787025*s[55])/176 - 
       (14176007*s[56])/1584 + (3950647*s[57])/594 - (205359487*s[58])/
        14256 + (206061343*s[59])/14256 + (742462013*s[60])/9504 - 
       (141597931*s[61])/32076 + 5*s[68] - 3*s[69] + 4*s[70] - s[71] + 
       4*s[72] - 2*s[73] - 4*s[74] + 4*s[75] - 6*s[76] - s[77] + 4*s[78] + 
       120*s[79] - (67*s[80])/2 + 282*s[82] + 60*s[84] + 84*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*Phi6[u, v, w]*
      ((33*s[2])/2 + (109*s[3])/4 + (925*s[4])/2 + (38721*s[5])/88 + 
       (96279*s[6])/88 + (14632081*s[7])/1584 - (1630835*s[8])/2376 - 
       (844697*s[9])/108 - (574619*s[10])/216 - (15855311*s[11])/1584 - 
       (8478887*s[12])/792 - (10048615*s[13])/1584 - (2909735*s[14])/1584 - 
       (1802519*s[15])/144 - (3130067*s[16])/198 - (6728479*s[17])/528 - 
       (144406*s[18])/81 - (850975*s[19])/648 - (135529309*s[20])/7128 - 
       (100355723*s[21])/14256 + (69024721*s[22])/14256 + 
       (3740345*s[23])/396 + (9065902*s[24])/891 - (399049007*s[25])/32076 + 
       (228038423*s[26])/32076 + (3*s[30])/2 + 3*s[31] - s[32] - 
       (15*s[33])/8 + (3*s[34])/2 - 4*s[35] - (85*s[36])/6 + (83*s[37])/4 + 
       (489*s[38])/2 - (8281*s[39])/8 + (28543*s[40])/24 - (7547*s[41])/8 + 
       (35993*s[42])/24 + (256373*s[43])/264 - (534739*s[44])/528 + 
       (114655*s[45])/88 - (1254457*s[46])/132 + (485147*s[47])/1584 + 
       (435581*s[48])/1584 - (6897185*s[49])/1584 + (483107*s[50])/66 + 
       (1675081*s[51])/1584 + (1322089*s[52])/1584 - (507314*s[53])/99 + 
       (32165*s[54])/132 - (5787025*s[55])/176 - (14176007*s[56])/1584 + 
       (3950647*s[57])/594 - (205359487*s[58])/14256 + 
       (206061343*s[59])/14256 + (742462013*s[60])/9504 - 
       (141597931*s[61])/32076 + 5*s[68] - 3*s[69] + 4*s[70] - s[71] + 
       4*s[72] - 2*s[73] - 4*s[74] + 4*s[75] - 6*s[76] - s[77] + 4*s[78] + 
       120*s[79] - (67*s[80])/2 + 282*s[82] + 60*s[84] + 84*s[85]) + 
     6*C27[u, v, w]*s[86] + G[u, v, w]*(8*s[3] + 24*s[4] + (228*s[5])/11 + 
       (672*s[6])/11 + (12484*s[7])/33 - (1112*s[8])/33 - (940*s[9])/3 - 
       (212*s[10])/3 - (4732*s[11])/11 - (5416*s[12])/11 - (10112*s[13])/33 - 
       (586*s[14])/11 - (1348*s[15])/3 - (20216*s[16])/33 - 
       (13900*s[17])/33 - (880*s[18])/9 - (116*s[19])/9 - (72434*s[20])/99 - 
       (9500*s[21])/33 + (19280*s[22])/99 + (19198*s[23])/33 + 
       (36794*s[24])/99 - (163850*s[25])/297 + (94586*s[26])/297 + 4*s[37] + 
       16*s[38] - 64*s[39] + 72*s[40] - 48*s[41] + 92*s[42] + 
       (576*s[43])/11 - (596*s[44])/11 + (632*s[45])/11 - (4696*s[46])/11 + 
       (1016*s[47])/33 - (40*s[48])/33 - (6788*s[49])/33 + (3000*s[50])/11 + 
       (1996*s[51])/33 + (2008*s[52])/33 - (6472*s[53])/33 + (944*s[54])/11 - 
       (41516*s[55])/33 - (4820*s[56])/11 + (26228*s[57])/33 - 
       (79568*s[58])/99 + (75848*s[59])/99 + (314590*s[60])/99 - 
       (60040*s[61])/297 - 8*s[76])*\[Zeta][2] + F1[w, u, v]*HPL[{1}, 1 - u]*
      (26*s[2] - 55*s[3] - 214*s[4] + (7175*s[5])/22 + (6489*s[6])/22 + 
       (682765*s[7])/396 + (37469*s[8])/198 - (16111*s[9])/9 - 
       (14239*s[10])/18 - (218129*s[11])/132 - (77395*s[12])/66 - 
       (259175*s[13])/396 - (234425*s[14])/132 - (102391*s[15])/36 - 
       (310214*s[16])/99 - (1445941*s[17])/396 - (15619*s[18])/27 + 
       (563*s[19])/54 - (2889901*s[20])/594 - (1013399*s[21])/396 + 
       (1155887*s[22])/1188 - (80882*s[23])/99 + (574460*s[24])/297 - 
       (1086193*s[25])/891 + (1404325*s[26])/891 + 8*s[29] - 6*s[30] + 
       16*s[31] + (15*s[33])/2 - 22*s[34] + 2*s[37] + 8*s[38] - 32*s[39] + 
       36*s[40] - 24*s[41] + 46*s[42] + (288*s[43])/11 - (298*s[44])/11 + 
       (316*s[45])/11 - (2348*s[46])/11 + (508*s[47])/33 - (20*s[48])/33 - 
       (3394*s[49])/33 + (1500*s[50])/11 + (998*s[51])/33 + (1004*s[52])/33 - 
       (3236*s[53])/33 + (472*s[54])/11 - (20758*s[55])/33 - 
       (2410*s[56])/11 + (13114*s[57])/33 - (39784*s[58])/99 + 
       (37924*s[59])/99 + (157295*s[60])/99 - (30020*s[61])/297 - 4*s[76])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Phi6[u, v, w]*
      (26*s[2] - 55*s[3] - 214*s[4] + (7175*s[5])/22 + (6489*s[6])/22 + 
       (682765*s[7])/396 + (37469*s[8])/198 - (16111*s[9])/9 - 
       (14239*s[10])/18 - (218129*s[11])/132 - (77395*s[12])/66 - 
       (259175*s[13])/396 - (234425*s[14])/132 - (102391*s[15])/36 - 
       (310214*s[16])/99 - (1445941*s[17])/396 - (15619*s[18])/27 + 
       (563*s[19])/54 - (2889901*s[20])/594 - (1013399*s[21])/396 + 
       (1155887*s[22])/1188 - (80882*s[23])/99 + (574460*s[24])/297 - 
       (1086193*s[25])/891 + (1404325*s[26])/891 + 8*s[29] - 6*s[30] + 
       16*s[31] + (15*s[33])/2 - 22*s[34] + 2*s[37] + 8*s[38] - 32*s[39] + 
       36*s[40] - 24*s[41] + 46*s[42] + (288*s[43])/11 - (298*s[44])/11 + 
       (316*s[45])/11 - (2348*s[46])/11 + (508*s[47])/33 - (20*s[48])/33 - 
       (3394*s[49])/33 + (1500*s[50])/11 + (998*s[51])/33 + (1004*s[52])/33 - 
       (3236*s[53])/33 + (472*s[54])/11 - (20758*s[55])/33 - 
       (2410*s[56])/11 + (13114*s[57])/33 - (39784*s[58])/99 + 
       (37924*s[59])/99 + (157295*s[60])/99 - (30020*s[61])/297 - 4*s[76])*
      \[Zeta][2] + F1[u, v, w]*HPL[{1}, 1 - w]*(23*s[2] - 87*s[3] - 
       291*s[4] + (7045*s[5])/22 + (2025*s[6])/11 + (338095*s[7])/396 + 
       (26408*s[8])/99 - (10058*s[9])/9 - (4555*s[10])/9 - (7702*s[11])/11 - 
       (21157*s[12])/132 - (15689*s[13])/396 - (74845*s[14])/44 - 
       (57133*s[15])/36 - (308659*s[16])/198 - (231934*s[17])/99 - 
       (4430*s[18])/9 + (4997*s[19])/18 - (314401*s[20])/99 - 
       (2439997*s[21])/1188 + (644641*s[22])/1188 - (598991*s[23])/396 + 
       (958561*s[24])/1188 + (620099*s[25])/10692 + (10248625*s[26])/10692 + 
       8*s[29] - 6*s[30] + 16*s[31] + s[32] + (15*s[33])/2 - 22*s[34] + 
       2*s[37] + 8*s[38] - 32*s[39] + 36*s[40] - 24*s[41] + 46*s[42] + 
       (288*s[43])/11 - (298*s[44])/11 + (316*s[45])/11 - (2348*s[46])/11 + 
       (508*s[47])/33 - (20*s[48])/33 - (3394*s[49])/33 + (1500*s[50])/11 + 
       (998*s[51])/33 + (1004*s[52])/33 - (3236*s[53])/33 + (472*s[54])/11 - 
       (20758*s[55])/33 - (2410*s[56])/11 + (13114*s[57])/33 - 
       (39784*s[58])/99 + (37924*s[59])/99 + (157295*s[60])/99 - 
       (30020*s[61])/297 - 4*s[76])*\[Zeta][2] + F1[v, w, u]*HPL[{1}, 1 - u]*
      (-26*s[2] + 63*s[3] + 238*s[4] - (6719*s[5])/22 - (5145*s[6])/22 - 
       (532957*s[7])/396 - (44141*s[8])/198 + (13291*s[9])/9 + 
       (12967*s[10])/18 + (161345*s[11])/132 + (44899*s[12])/66 + 
       (137831*s[13])/396 + (227393*s[14])/132 + (86215*s[15])/36 + 
       (249566*s[16])/99 + (1279141*s[17])/396 + (12979*s[18])/27 - 
       (1259*s[19])/54 + (2455297*s[20])/594 + (899399*s[21])/396 - 
       (924527*s[22])/1188 + (138476*s[23])/99 - (464078*s[24])/297 + 
       (594643*s[25])/891 - (1120567*s[26])/891 - 8*s[29] + 6*s[30] - 
       16*s[31] - (15*s[33])/2 + 22*s[34] + 2*s[37] + 8*s[38] - 32*s[39] + 
       36*s[40] - 24*s[41] + 46*s[42] + (288*s[43])/11 - (298*s[44])/11 + 
       (316*s[45])/11 - (2348*s[46])/11 + (508*s[47])/33 - (20*s[48])/33 - 
       (3394*s[49])/33 + (1500*s[50])/11 + (998*s[51])/33 + (1004*s[52])/33 - 
       (3236*s[53])/33 + (472*s[54])/11 - (20758*s[55])/33 - 
       (2410*s[56])/11 + (13114*s[57])/33 - (39784*s[58])/99 + 
       (37924*s[59])/99 + (157295*s[60])/99 - (30020*s[61])/297 - 4*s[76])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Phi6[u, v, w]*
      (-26*s[2] + 63*s[3] + 238*s[4] - (6719*s[5])/22 - (5145*s[6])/22 - 
       (532957*s[7])/396 - (44141*s[8])/198 + (13291*s[9])/9 + 
       (12967*s[10])/18 + (161345*s[11])/132 + (44899*s[12])/66 + 
       (137831*s[13])/396 + (227393*s[14])/132 + (86215*s[15])/36 + 
       (249566*s[16])/99 + (1279141*s[17])/396 + (12979*s[18])/27 - 
       (1259*s[19])/54 + (2455297*s[20])/594 + (899399*s[21])/396 - 
       (924527*s[22])/1188 + (138476*s[23])/99 - (464078*s[24])/297 + 
       (594643*s[25])/891 - (1120567*s[26])/891 - 8*s[29] + 6*s[30] - 
       16*s[31] - (15*s[33])/2 + 22*s[34] + 2*s[37] + 8*s[38] - 32*s[39] + 
       36*s[40] - 24*s[41] + 46*s[42] + (288*s[43])/11 - (298*s[44])/11 + 
       (316*s[45])/11 - (2348*s[46])/11 + (508*s[47])/33 - (20*s[48])/33 - 
       (3394*s[49])/33 + (1500*s[50])/11 + (998*s[51])/33 + (1004*s[52])/33 - 
       (3236*s[53])/33 + (472*s[54])/11 - (20758*s[55])/33 - 
       (2410*s[56])/11 + (13114*s[57])/33 - (39784*s[58])/99 + 
       (37924*s[59])/99 + (157295*s[60])/99 - (30020*s[61])/297 - 4*s[76])*
      \[Zeta][2] + F1[u, v, w]*HPL[{1}, 1 - v]*(-23*s[2] + 95*s[3] + 
       315*s[4] - (599*s[5])/2 - 123*s[6] - (17117*s[7])/36 - (2704*s[8])/9 + 
       (7238*s[9])/9 + (3919*s[10])/9 + 270*s[11] - (3985*s[12])/12 - 
       (9605*s[13])/36 + (6591*s[14])/4 + (40957*s[15])/36 + 
       (17033*s[16])/18 + (17294*s[17])/9 + (3550*s[18])/9 - (581*s[19])/2 + 
       (21997*s[20])/9 + (190727*s[21])/108 - (37571*s[22])/108 + 
       (75397*s[23])/36 - (47003*s[24])/108 - (592609*s[25])/972 - 
       (622139*s[26])/972 - 8*s[29] + 6*s[30] - 16*s[31] - s[32] - 
       (15*s[33])/2 + 22*s[34] + 2*s[37] + 8*s[38] - 32*s[39] + 36*s[40] - 
       24*s[41] + 46*s[42] + (288*s[43])/11 - (298*s[44])/11 + 
       (316*s[45])/11 - (2348*s[46])/11 + (508*s[47])/33 - (20*s[48])/33 - 
       (3394*s[49])/33 + (1500*s[50])/11 + (998*s[51])/33 + (1004*s[52])/33 - 
       (3236*s[53])/33 + (472*s[54])/11 - (20758*s[55])/33 - 
       (2410*s[56])/11 + (13114*s[57])/33 - (39784*s[58])/99 + 
       (37924*s[59])/99 + (157295*s[60])/99 - (30020*s[61])/297 - 4*s[76])*
      \[Zeta][2] + K1[v, w, u]*(26*s[2] - 63*s[3] - 238*s[4] + 
       (6719*s[5])/22 + (5145*s[6])/22 + (532957*s[7])/396 + 
       (44141*s[8])/198 - (13291*s[9])/9 - (12967*s[10])/18 - 
       (161345*s[11])/132 - (44899*s[12])/66 - (137831*s[13])/396 - 
       (227393*s[14])/132 - (86215*s[15])/36 - (249566*s[16])/99 - 
       (1279141*s[17])/396 - (12979*s[18])/27 + (1259*s[19])/54 - 
       (2455297*s[20])/594 - (899399*s[21])/396 + (924527*s[22])/1188 - 
       (138476*s[23])/99 + (464078*s[24])/297 - (594643*s[25])/891 + 
       (1120567*s[26])/891 + 8*s[29] - 6*s[30] + 16*s[31] + (15*s[33])/2 - 
       22*s[34] - 2*s[37] - 8*s[38] + 32*s[39] - 36*s[40] + 24*s[41] - 
       46*s[42] - (288*s[43])/11 + (298*s[44])/11 - (316*s[45])/11 + 
       (2348*s[46])/11 - (508*s[47])/33 + (20*s[48])/33 + (3394*s[49])/33 - 
       (1500*s[50])/11 - (998*s[51])/33 - (1004*s[52])/33 + (3236*s[53])/33 - 
       (472*s[54])/11 + (20758*s[55])/33 + (2410*s[56])/11 - 
       (13114*s[57])/33 + (39784*s[58])/99 - (37924*s[59])/99 - 
       (157295*s[60])/99 + (30020*s[61])/297 + 4*s[76])*\[Zeta][2] + 
     K1[u, v, w]*(-26*s[2] + 55*s[3] + 214*s[4] - (7175*s[5])/22 - 
       (6489*s[6])/22 - (682765*s[7])/396 - (37469*s[8])/198 + 
       (16111*s[9])/9 + (14239*s[10])/18 + (218129*s[11])/132 + 
       (77395*s[12])/66 + (259175*s[13])/396 + (234425*s[14])/132 + 
       (102391*s[15])/36 + (310214*s[16])/99 + (1445941*s[17])/396 + 
       (15619*s[18])/27 - (563*s[19])/54 + (2889901*s[20])/594 + 
       (1013399*s[21])/396 - (1155887*s[22])/1188 + (80882*s[23])/99 - 
       (574460*s[24])/297 + (1086193*s[25])/891 - (1404325*s[26])/891 - 
       8*s[29] + 6*s[30] - 16*s[31] - (15*s[33])/2 + 22*s[34] - 2*s[37] - 
       8*s[38] + 32*s[39] - 36*s[40] + 24*s[41] - 46*s[42] - (288*s[43])/11 + 
       (298*s[44])/11 - (316*s[45])/11 + (2348*s[46])/11 - (508*s[47])/33 + 
       (20*s[48])/33 + (3394*s[49])/33 - (1500*s[50])/11 - (998*s[51])/33 - 
       (1004*s[52])/33 + (3236*s[53])/33 - (472*s[54])/11 + 
       (20758*s[55])/33 + (2410*s[56])/11 - (13114*s[57])/33 + 
       (39784*s[58])/99 - (37924*s[59])/99 - (157295*s[60])/99 + 
       (30020*s[61])/297 + 4*s[76])*\[Zeta][2] + F1[w, u, v]*HPL[{1}, 1 - w]*
      ((-133*s[2])/2 + (51*s[3])/4 - (2403*s[4])/8 - (12743*s[5])/44 - 
       (60515*s[6])/88 - (3346841*s[7])/528 + (697777*s[8])/2376 + 
       (288695*s[9])/54 + (120625*s[10])/54 + (10932505*s[11])/1584 + 
       (2785217*s[12])/396 + (6661639*s[13])/1584 + (2123425*s[14])/1584 + 
       (1341893*s[15])/144 + (1132183*s[16])/99 + (15834679*s[17])/1584 + 
       (60659*s[18])/81 + (1111997*s[19])/648 + (93170789*s[20])/7128 + 
       (67244611*s[21])/14256 - (47361923*s[22])/14256 - 
       (1485491*s[23])/396 - (7226594*s[24])/891 + (545040761*s[25])/64152 - 
       (302788085*s[26])/64152 + 3*s[30] - 14*s[31] + 11*s[32] - 
       (3*s[33])/2 + 21*s[34] - 9*s[35] + 27*s[36] + (4*s[37])/3 - 
       194*s[38] + (947*s[39])/2 - (1113*s[40])/2 + (965*s[41])/2 - 
       469*s[42] - (20793*s[43])/22 + (59153*s[44])/88 - (38903*s[45])/33 + 
       (479353*s[46])/66 + (34943*s[47])/88 - (90589*s[48])/88 + 
       (365707*s[49])/88 - (65255*s[50])/11 - (39659*s[51])/264 - 
       (8487*s[52])/88 + (1705117*s[53])/396 + (73897*s[54])/66 + 
       (2478049*s[55])/88 + (4704457*s[56])/792 + (5384611*s[57])/1188 + 
       (57316559*s[58])/7128 - (67227395*s[59])/7128 - 
       (105817223*s[60])/1584 + (48448325*s[61])/16038 - 2*s[65] - 8*s[66] + 
       12*s[67] + 20*s[68] - 10*s[69] - 2*s[70] + 3*s[71] + 14*s[72] + 
       58*s[73] - (27*s[74])/2 + (27*s[75])/2 + 42*s[76] + 13*s[77] - 
       28*s[78] - 28*s[79] - (40*s[80])/3 - 452*s[82] - 16*s[85])*
      \[Zeta][2] + F1[v, w, u]*HPL[{1}, 1 - v]*((-173*s[2])/2 + 
       (243*s[3])/4 - (1105*s[4])/8 - (21645*s[5])/44 - (65661*s[6])/88 - 
       (3670685*s[7])/528 + (43067*s[8])/264 + (73301*s[9])/12 + 
       (15287*s[10])/6 + (1302837*s[11])/176 + (317211*s[12])/44 + 
       (2269345*s[13])/528 + (376817*s[14])/176 + (500375*s[15])/48 + 
       (1640197*s[16])/132 + (6029645*s[17])/528 + (37859*s[18])/36 + 
       (114341*s[19])/72 + (11831741*s[20])/792 + (1042835*s[21])/176 - 
       (5853715*s[22])/1584 - (109976*s[23])/33 - (3402805*s[24])/396 + 
       (2567008*s[25])/297 - (3167795*s[26])/594 - 12*s[29] + 6*s[30] - 
       28*s[31] + 14*s[32] - (13*s[33])/4 + 42*s[34] - 9*s[35] + 27*s[36] + 
       (4*s[37])/3 - 194*s[38] + (947*s[39])/2 - (1113*s[40])/2 + 
       (965*s[41])/2 - 469*s[42] - (20793*s[43])/22 + (59153*s[44])/88 - 
       (38903*s[45])/33 + (479353*s[46])/66 + (34943*s[47])/88 - 
       (90589*s[48])/88 + (365707*s[49])/88 - (65255*s[50])/11 - 
       (39659*s[51])/264 - (8487*s[52])/88 + (1705117*s[53])/396 + 
       (73897*s[54])/66 + (2478049*s[55])/88 + (4704457*s[56])/792 + 
       (5384611*s[57])/1188 + (57316559*s[58])/7128 - (67227395*s[59])/7128 - 
       (105817223*s[60])/1584 + (48448325*s[61])/16038 - 2*s[65] - 8*s[66] + 
       12*s[67] + 20*s[68] - 10*s[69] - 2*s[70] + 3*s[71] + 14*s[72] + 
       58*s[73] - (27*s[74])/2 + (27*s[75])/2 + 42*s[76] + 13*s[77] - 
       28*s[78] - 28*s[79] - (40*s[80])/3 - 452*s[82] - 16*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Phi6[u, v, w]*
      ((-13*s[2])/2 - (139*s[3])/2 + (1021*s[4])/4 + (4101*s[5])/22 + 
       (8827*s[6])/44 + (1126885*s[7])/264 - (97783*s[8])/396 - 
       (65731*s[9])/18 - (26591*s[10])/18 - (1252597*s[11])/264 - 
       (661105*s[12])/132 - (261711*s[13])/88 - (66343*s[14])/264 - 
       (50453*s[15])/8 - (166707*s[16])/22 - (1641479*s[17])/264 - 
       (17741*s[18])/54 - (155735*s[19])/108 - (10000283*s[20])/1188 - 
       (6738229*s[21])/2376 + (5437925*s[22])/2376 + (128639*s[23])/44 + 
       (6780187*s[24])/1188 - (64773593*s[25])/10692 + 
       (32709707*s[26])/10692 + 4*s[31] - 10*s[32] + (17*s[33])/2 - 8*s[34] - 
       12*s[36] - 15*s[37] + 248*s[38] - (1217*s[39])/2 + (1193*s[40])/2 - 
       (1021*s[41])/2 + (1387*s[42])/2 + (14739*s[43])/22 - 
       (27521*s[44])/44 + (6257*s[45])/11 - (106483*s[46])/22 - 
       (7691*s[47])/132 + (55867*s[48])/132 - (470563*s[49])/132 + 
       (46606*s[50])/11 + (50999*s[51])/132 + (28751*s[52])/132 - 
       (30908*s[53])/11 - (14055*s[54])/11 - (784901*s[55])/44 - 
       (368585*s[56])/132 - (81319*s[57])/99 - (6753151*s[58])/1188 + 
       (8133049*s[59])/1188 + (36118741*s[60])/792 - (15993661*s[61])/10692 - 
       8*s[68] + 8*s[69] + 4*s[70] - 22*s[73] - 2*s[74] + 2*s[75] - 
       12*s[76] - 18*s[77] + 12*s[78] + 12*s[79] + 4*s[80] + 44*s[82] + 
       3*s[83] + 6*s[84] - 16*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]^2*Phi6[u, v, w]*(3*s[2] + (39*s[3])/4 - (791*s[4])/8 + 
       (2177*s[5])/44 + (1757*s[6])/88 - (78703*s[7])/176 + 
       (170681*s[8])/2376 + (8066*s[9])/27 + (9761*s[10])/54 + 
       (880097*s[11])/1584 + (130685*s[12])/198 + (651155*s[13])/1584 - 
       (503935*s[14])/1584 + (98905*s[15])/144 + (176617*s[16])/198 + 
       (940439*s[17])/1584 - (10550*s[18])/81 + (247297*s[19])/648 + 
       (4055695*s[20])/7128 - (692713*s[21])/14256 - (3328999*s[22])/14256 - 
       (143899*s[23])/396 - (2923363*s[24])/3564 + (58095145*s[25])/64152 - 
       (13578553*s[26])/64152 + 2*s[29] - s[30] + s[31] + 2*s[32] + s[33] + 
       s[35] + 7*s[36] + (79*s[37])/6 - 28*s[38] + (243*s[39])/2 - 
       (245*s[40])/2 + 126*s[41] - (323*s[42])/2 - (2557*s[43])/22 + 
       (13419*s[44])/88 + (2107*s[45])/66 + (17176*s[46])/33 + 
       (1081*s[47])/33 - (6583*s[48])/66 + (26105*s[49])/33 - 
       (26145*s[50])/44 - (766*s[51])/11 + (1741*s[52])/264 + 
       (34685*s[53])/99 + (14422*s[54])/33 + (80089*s[55])/44 - 
       (27571*s[56])/198 + (193885*s[57])/594 + (1125341*s[58])/3564 - 
       (600104*s[59])/891 - (2224307*s[60])/396 - (1460203*s[61])/32076 + 
       s[65]/2 + 2*s[66] - 2*s[67] + s[68] - 9*s[69] + s[70] - s[71]/2 - 
       2*s[72] + 10*s[73] + (5*s[74])/2 - (5*s[75])/2 + 2*s[77] - 6*s[78] - 
       6*s[79] + (7*s[80])/3 - 46*s[82] - (3*s[83])/2 - 3*s[84] + 4*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - v]^2*Phi6[u, v, w]*(-5*s[2] + (127*s[3])/4 - 
       (217*s[4])/8 - (303*s[5])/44 + (2501*s[6])/88 - (182443*s[7])/528 - 
       (2531*s[8])/792 + (10849*s[9])/36 + (6899*s[10])/36 + 
       (209491*s[11])/528 + (100525*s[12])/264 + (39141*s[13])/176 - 
       (22919*s[14])/528 + (30113*s[15])/48 + (31795*s[16])/44 + 
       (344585*s[17])/528 - (7261*s[18])/108 + (55619*s[19])/216 + 
       (1557491*s[20])/2376 + (847783*s[21])/4752 - (968435*s[22])/4752 + 
       (5185*s[23])/88 - (1507771*s[24])/2376 + (10936097*s[25])/21384 - 
       (4186169*s[26])/21384 - 2*s[31] + (7*s[32])/2 - (5*s[33])/4 + 
       4*s[34] + s[35] + 7*s[36] + (79*s[37])/6 - 28*s[38] + (243*s[39])/2 - 
       (245*s[40])/2 + 126*s[41] - (323*s[42])/2 - (2557*s[43])/22 + 
       (13419*s[44])/88 + (2107*s[45])/66 + (17176*s[46])/33 + 
       (1081*s[47])/33 - (6583*s[48])/66 + (26105*s[49])/33 - 
       (26145*s[50])/44 - (766*s[51])/11 + (1741*s[52])/264 + 
       (34685*s[53])/99 + (14422*s[54])/33 + (80089*s[55])/44 - 
       (27571*s[56])/198 + (193885*s[57])/594 + (1125341*s[58])/3564 - 
       (600104*s[59])/891 - (2224307*s[60])/396 - (1460203*s[61])/32076 + 
       s[65]/2 + 2*s[66] - 2*s[67] + s[68] - 9*s[69] + s[70] - s[71]/2 - 
       2*s[72] + 10*s[73] + (5*s[74])/2 - (5*s[75])/2 + 2*s[77] - 6*s[78] - 
       6*s[79] + (7*s[80])/3 - 46*s[82] - (3*s[83])/2 - 3*s[84] + 4*s[85])*
      \[Zeta][2] + F1[v, w, u]*HPL[{1}, 1 - w]*((173*s[2])/2 - (243*s[3])/4 + 
       (1105*s[4])/8 + (21645*s[5])/44 + (65661*s[6])/88 + 
       (3670685*s[7])/528 - (43067*s[8])/264 - (73301*s[9])/12 - 
       (15287*s[10])/6 - (1302837*s[11])/176 - (317211*s[12])/44 - 
       (2269345*s[13])/528 - (376817*s[14])/176 - (500375*s[15])/48 - 
       (1640197*s[16])/132 - (6029645*s[17])/528 - (37859*s[18])/36 - 
       (114341*s[19])/72 - (11831741*s[20])/792 - (1042835*s[21])/176 + 
       (5853715*s[22])/1584 + (109976*s[23])/33 + (3402805*s[24])/396 - 
       (2567008*s[25])/297 + (3167795*s[26])/594 + 12*s[29] - 6*s[30] + 
       28*s[31] - 14*s[32] + (13*s[33])/4 - 42*s[34] + 9*s[35] - 27*s[36] - 
       (4*s[37])/3 + 194*s[38] - (947*s[39])/2 + (1113*s[40])/2 - 
       (965*s[41])/2 + 469*s[42] + (20793*s[43])/22 - (59153*s[44])/88 + 
       (38903*s[45])/33 - (479353*s[46])/66 - (34943*s[47])/88 + 
       (90589*s[48])/88 - (365707*s[49])/88 + (65255*s[50])/11 + 
       (39659*s[51])/264 + (8487*s[52])/88 - (1705117*s[53])/396 - 
       (73897*s[54])/66 - (2478049*s[55])/88 - (4704457*s[56])/792 - 
       (5384611*s[57])/1188 - (57316559*s[58])/7128 + (67227395*s[59])/7128 + 
       (105817223*s[60])/1584 - (48448325*s[61])/16038 + 2*s[65] + 8*s[66] - 
       12*s[67] - 20*s[68] + 10*s[69] + 2*s[70] - 3*s[71] - 14*s[72] - 
       58*s[73] + (27*s[74])/2 - (27*s[75])/2 - 42*s[76] - 13*s[77] + 
       28*s[78] + 28*s[79] + (40*s[80])/3 + 452*s[82] + 16*s[85])*
      \[Zeta][2] + F1[w, u, v]*HPL[{1}, 1 - v]*((133*s[2])/2 - (51*s[3])/4 + 
       (2403*s[4])/8 + (12743*s[5])/44 + (60515*s[6])/88 + 
       (3346841*s[7])/528 - (697777*s[8])/2376 - (288695*s[9])/54 - 
       (120625*s[10])/54 - (10932505*s[11])/1584 - (2785217*s[12])/396 - 
       (6661639*s[13])/1584 - (2123425*s[14])/1584 - (1341893*s[15])/144 - 
       (1132183*s[16])/99 - (15834679*s[17])/1584 - (60659*s[18])/81 - 
       (1111997*s[19])/648 - (93170789*s[20])/7128 - (67244611*s[21])/14256 + 
       (47361923*s[22])/14256 + (1485491*s[23])/396 + (7226594*s[24])/891 - 
       (545040761*s[25])/64152 + (302788085*s[26])/64152 - 3*s[30] + 
       14*s[31] - 11*s[32] + (3*s[33])/2 - 21*s[34] + 9*s[35] - 27*s[36] - 
       (4*s[37])/3 + 194*s[38] - (947*s[39])/2 + (1113*s[40])/2 - 
       (965*s[41])/2 + 469*s[42] + (20793*s[43])/22 - (59153*s[44])/88 + 
       (38903*s[45])/33 - (479353*s[46])/66 - (34943*s[47])/88 + 
       (90589*s[48])/88 - (365707*s[49])/88 + (65255*s[50])/11 + 
       (39659*s[51])/264 + (8487*s[52])/88 - (1705117*s[53])/396 - 
       (73897*s[54])/66 - (2478049*s[55])/88 - (4704457*s[56])/792 - 
       (5384611*s[57])/1188 - (57316559*s[58])/7128 + (67227395*s[59])/7128 + 
       (105817223*s[60])/1584 - (48448325*s[61])/16038 + 2*s[65] + 8*s[66] - 
       12*s[67] - 20*s[68] + 10*s[69] + 2*s[70] - 3*s[71] - 14*s[72] - 
       58*s[73] + (27*s[74])/2 - (27*s[75])/2 - 42*s[76] - 13*s[77] + 
       28*s[78] + 28*s[79] + (40*s[80])/3 + 452*s[82] + 16*s[85])*
      \[Zeta][2] + HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*((153*s[2])/2 - 95*s[3] - 
       (111*s[4])/2 + (12415*s[5])/22 + (11951*s[6])/22 + 
       (1568569*s[7])/264 + (10202*s[8])/297 - (592559*s[9])/108 - 
       (65248*s[10])/27 - (4854319*s[11])/792 - (1093811*s[12])/198 - 
       (2557669*s[13])/792 - (1990693*s[14])/792 - (684383*s[15])/72 - 
       (1067579*s[16])/99 - (8401747*s[17])/792 - (325315*s[18])/324 - 
       (416999*s[19])/324 - (48551435*s[20])/3564 - (41369467*s[21])/7128 + 
       (23036111*s[22])/7128 + (274187*s[23])/198 + (13101791*s[24])/1782 - 
       (427641175*s[25])/64152 + (297722719*s[26])/64152 + 14*s[29] - 
       13*s[30] + 40*s[31] - 11*s[32] + (71*s[33])/4 - 55*s[34] + 8*s[35] - 
       (110*s[36])/3 + (23*s[37])/2 + 142*s[38] - 166*s[39] + (605*s[40])/3 - 
       194*s[41] + (143*s[42])/6 + (20230*s[43])/33 - (11875*s[44])/33 + 
       (20679*s[45])/22 - (325649*s[46])/66 - (181243*s[47])/396 + 
       (339629*s[48])/396 - (1086053*s[49])/396 + (278579*s[50])/66 - 
       (49517*s[51])/396 - (24439*s[52])/198 - (307154*s[53])/99 - 
       (45469*s[54])/33 - (926309*s[55])/44 - (1575899*s[56])/396 - 
       (3776723*s[57])/594 - (16771363*s[58])/3564 + (21531211*s[59])/3564 + 
       (114465221*s[60])/2376 - (64900447*s[61])/32076 + 3*s[65] + 12*s[66] - 
       16*s[67] - 22*s[68] - 3*s[71] - 16*s[72] - 44*s[73] + 12*s[74] - 
       12*s[75] - 36*s[76] - 10*s[77] + 16*s[78] + 8*s[79] + 48*s[80] + 
       482*s[82] + 16*s[85])*\[Zeta][2] + HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      ((83*s[2])/2 - 37*s[3] + (427*s[4])/2 + (975*s[5])/11 + 
       (4861*s[6])/22 + (2589511*s[7])/792 - (93821*s[8])/594 - 
       (293423*s[9])/108 - (33904*s[10])/27 - (2861545*s[11])/792 - 
       (1462081*s[12])/396 - (573847*s[13])/264 - (325789*s[14])/792 - 
       (40939*s[15])/8 - (204799*s[16])/33 - (4311377*s[17])/792 - 
       (25441*s[18])/324 - (423041*s[19])/324 - (23818043*s[20])/3564 - 
       (15395647*s[21])/7128 + (12411815*s[22])/7128 + (170197*s[23])/132 + 
       (16935079*s[24])/3564 - (293237317*s[25])/64152 + 
       (146427121*s[26])/64152 - 2*s[29] + 5*s[30] + 2*s[31] - 17*s[32] + 
       (57*s[33])/4 - 11*s[34] + 8*s[35] - (110*s[36])/3 + (23*s[37])/2 + 
       142*s[38] - 166*s[39] + (605*s[40])/3 - 194*s[41] + (143*s[42])/6 + 
       (20230*s[43])/33 - (11875*s[44])/33 + (20679*s[45])/22 - 
       (325649*s[46])/66 - (181243*s[47])/396 + (339629*s[48])/396 - 
       (1086053*s[49])/396 + (278579*s[50])/66 - (49517*s[51])/396 - 
       (24439*s[52])/198 - (307154*s[53])/99 - (45469*s[54])/33 - 
       (926309*s[55])/44 - (1575899*s[56])/396 - (3776723*s[57])/594 - 
       (16771363*s[58])/3564 + (21531211*s[59])/3564 + 
       (114465221*s[60])/2376 - (64900447*s[61])/32076 + 3*s[65] + 12*s[66] - 
       16*s[67] - 22*s[68] - 3*s[71] - 16*s[72] - 44*s[73] + 12*s[74] - 
       12*s[75] - 36*s[76] - 10*s[77] + 16*s[78] + 8*s[79] + 48*s[80] + 
       482*s[82] + 16*s[85])*\[Zeta][2] + Phi6[u, v, w]*
      (16*s[3] + 48*s[4] + (456*s[5])/11 + (1344*s[6])/11 + (24968*s[7])/33 - 
       (2224*s[8])/33 - (1880*s[9])/3 - (424*s[10])/3 - (9464*s[11])/11 - 
       (10832*s[12])/11 - (20224*s[13])/33 - (1172*s[14])/11 - 
       (2696*s[15])/3 - (40432*s[16])/33 - (27800*s[17])/33 - 
       (1760*s[18])/9 - (232*s[19])/9 - (144868*s[20])/99 - 
       (19000*s[21])/33 + (38560*s[22])/99 + (38396*s[23])/33 + 
       (73588*s[24])/99 - (327700*s[25])/297 + (189172*s[26])/297 + 8*s[37] + 
       32*s[38] - 128*s[39] + 144*s[40] - 96*s[41] + 184*s[42] + 
       (1152*s[43])/11 - (1192*s[44])/11 + (1264*s[45])/11 - 
       (9392*s[46])/11 + (2032*s[47])/33 - (80*s[48])/33 - (13576*s[49])/33 + 
       (6000*s[50])/11 + (3992*s[51])/33 + (4016*s[52])/33 - 
       (12944*s[53])/33 + (1888*s[54])/11 - (83032*s[55])/33 - 
       (9640*s[56])/11 + (52456*s[57])/33 - (159136*s[58])/99 + 
       (151696*s[59])/99 + (629180*s[60])/99 - (120080*s[61])/297 - 16*s[76])*
      \[Zeta][2]^2 + HPL[{1}, 1 - v]*Phi6[u, v, w]*(-8*s[2] - (73*s[3])/2 - 
       (159*s[4])/4 - (6973*s[5])/44 - (3213*s[6])/11 - (1939859*s[7])/792 + 
       (46559*s[8])/594 + (225137*s[9])/108 + (109411*s[10])/108 + 
       (2003563*s[11])/792 + (474425*s[12])/198 + (1076345*s[13])/792 + 
       (826987*s[14])/792 + (276043*s[15])/72 + (1812721*s[16])/396 + 
       (1158257*s[17])/264 + (140593*s[18])/324 + (178973*s[19])/324 + 
       (20189705*s[20])/3564 + (15775303*s[21])/7128 - (9032753*s[22])/7128 - 
       (78230*s[23])/99 - (2820523*s[24])/891 + (185108365*s[25])/64152 - 
       (120762973*s[26])/64152 - 4*s[29] + 2*s[30] + s[32] + (3*s[33])/2 - 
       4*s[34])*\[Zeta][3] + F1[v, w, u]*(-2*s[5] + 12*s[6] + 12*s[7] + 
       (2*s[8])/3 - (10*s[9])/3 - (26*s[10])/3 - 12*s[11] - 12*s[12] - 
       14*s[13] - 8*s[14] + 2*s[15] - 12*s[16] - 6*s[17] - (56*s[18])/9 + 
       (68*s[19])/9 - (44*s[20])/9 - (146*s[21])/9 + (40*s[22])/9 - 
       10*s[23] - (56*s[24])/9 - (473*s[25])/81 + (815*s[26])/81 - 2*s[29] + 
       2*s[31] + 2*s[32] - 2*s[34])*\[Zeta][3] + 
     F1[w, u, v]*(2*s[5] - 12*s[6] - 12*s[7] - (2*s[8])/3 + (10*s[9])/3 + 
       (26*s[10])/3 + 12*s[11] + 12*s[12] + 14*s[13] + 8*s[14] - 2*s[15] + 
       12*s[16] + 6*s[17] + (56*s[18])/9 - (68*s[19])/9 + (44*s[20])/9 + 
       (146*s[21])/9 - (40*s[22])/9 + 10*s[23] + (56*s[24])/9 + 
       (473*s[25])/81 - (815*s[26])/81 + 2*s[29] - 2*s[31] - 2*s[32] + 
       2*s[34])*\[Zeta][3] + HPL[{1}, 1 - w]*Phi6[u, v, w]*
      (8*s[2] + (73*s[3])/2 + (159*s[4])/4 + (6973*s[5])/44 + 
       (3213*s[6])/11 + (1939859*s[7])/792 - (46559*s[8])/594 - 
       (225137*s[9])/108 - (109411*s[10])/108 - (2003563*s[11])/792 - 
       (474425*s[12])/198 - (1076345*s[13])/792 - (826987*s[14])/792 - 
       (276043*s[15])/72 - (1812721*s[16])/396 - (1158257*s[17])/264 - 
       (140593*s[18])/324 - (178973*s[19])/324 - (20189705*s[20])/3564 - 
       (15775303*s[21])/7128 + (9032753*s[22])/7128 + (78230*s[23])/99 + 
       (2820523*s[24])/891 - (185108365*s[25])/64152 + 
       (120762973*s[26])/64152 + 4*s[29] - 2*s[30] - s[32] - (3*s[33])/2 + 
       4*s[34])*\[Zeta][3] + F1[u, v, w]*(6*s[2] + 56*s[3] - (133*s[4])/4 + 
       (1621*s[5])/11 + (10463*s[6])/44 + (614333*s[7])/396 + 
       (17879*s[8])/1188 - (146909*s[9])/108 - (21217*s[10])/27 - 
       (289813*s[11])/198 - (456253*s[12])/396 - (67381*s[13])/132 - 
       (247417*s[14])/198 - 2747*s[15] - (138045*s[16])/44 - 
       (1365967*s[17])/396 - (149653*s[18])/324 - (14675*s[19])/81 - 
       (7674889*s[20])/1782 - (1679690*s[21])/891 + (706588*s[22])/891 + 
       (4579*s[23])/66 + (1698709*s[24])/891 - (86985031*s[25])/64152 + 
       (82206823*s[26])/64152 + 4*s[29] - 3*s[30] - 2*s[31] - s[32] - 
       (33*s[33])/4 + 5*s[34] + 2*s[35] + (32*s[36])/3 - (110*s[37])/3 - 
       62*s[38] + (433*s[39])/2 - (859*s[40])/6 + (115*s[41])/2 - 
       (2003*s[42])/6 - (2045*s[43])/66 + (283*s[44])/33 + (14764*s[45])/33 - 
       (32427*s[46])/22 - (58321*s[47])/198 + (45997*s[48])/99 + 
       (8995*s[49])/198 + (44639*s[50])/33 - (25375*s[51])/99 - 
       (45269*s[52])/198 - (68765*s[53])/66 - (2905*s[54])/11 - 
       (268049*s[55])/33 - (439963*s[56])/198 - (2603081*s[57])/594 - 
       (1775753*s[58])/1782 + (1098094*s[59])/891 + (17013827*s[60])/1188 - 
       (39360385*s[61])/32076 + 2*s[65] + 4*s[66] - 4*s[67] - 16*s[68] + 
       4*s[70] - 4*s[71] - 4*s[72] + 3*s[74] - 3*s[75] + 4*s[76] - 10*s[77] - 
       8*s[78] + (56*s[80])/3 + 280*s[82] + 48*s[85])*\[Zeta][3]
 
SuvwCoproductEntries[u] = A7[w, u, v]*HPL[{1}, 1 - v]*s[12] + 
     A7[v, w, u]*HPL[{1}, 1 - v]*s[38] + A7[w, u, v]*HPL[{1}, 1 - w]*s[38] + 
     A6[w, u, v]*HPL[{1}, 1 - v]*(-s[6] + s[10] - s[49]) - 
     A6[v, w, u]*HPL[{1}, 1 - w]*s[49] - A2[u, w, v]*HPL[{1}, 1 - v]*s[51] - 
     A2[u, v, w]*HPL[{1}, 1 - w]*s[51] + A3[w, u, v]*HPL[{1}, 1 - v]*
      (-2*s[51] - s[55]) + A3[v, w, u]*HPL[{1}, 1 - w]*
      (s[15] - 2*s[51] - s[55]) + H1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      ((54*s[5])/11 + (63*s[6])/22 + (1993*s[7])/44 - (59*s[8])/33 - 
       (239*s[9])/6 - (56*s[10])/3 - (448*s[11])/11 - (703*s[12])/22 - 
       (283*s[13])/22 - (232*s[14])/11 - (355*s[15])/4 - (3777*s[16])/44 - 
       (1058*s[17])/11 - (121*s[18])/18 - (215*s[19])/18 - 
       (21893*s[20])/198 - (4264*s[21])/99 + (4453*s[22])/198 + 
       (775*s[23])/44 + (22457*s[24])/396 - (40375*s[25])/891 + 
       (57953*s[26])/1782 + (27*s[43])/11 - (27*s[44])/22 + (108*s[45])/11 - 
       (513*s[46])/11 - (37*s[47])/22 - (15*s[48])/22 - (219*s[49])/22 + 
       (450*s[50])/11 - (27*s[51])/22 - (17*s[52])/22 - (843*s[53])/22 + 
       (36*s[54])/11 - (5575*s[55])/22 - (1017*s[56])/22 - (4318*s[57])/33 - 
       (4913*s[58])/198 + (9143*s[59])/198 + (55867*s[60])/132 - 
       (43685*s[61])/1782) + H1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      ((54*s[5])/11 + (63*s[6])/22 + (2037*s[7])/44 - (27*s[8])/11 - 
       (81*s[9])/2 - 18*s[10] - (459*s[11])/11 - (747*s[12])/22 - 
       (327*s[13])/22 - (243*s[14])/11 - (351*s[15])/4 - (3777*s[16])/44 - 
       (1047*s[17])/11 - (13*s[18])/2 - (23*s[19])/2 - (2435*s[20])/22 - 
       (464*s[21])/11 + (755*s[22])/33 + (599*s[23])/44 + (7603*s[24])/132 - 
       (28057*s[25])/594 + (9668*s[26])/297 + (27*s[43])/11 - (27*s[44])/22 + 
       (108*s[45])/11 - (513*s[46])/11 - (37*s[47])/22 - (15*s[48])/22 - 
       (219*s[49])/22 + (450*s[50])/11 - (27*s[51])/22 - (17*s[52])/22 - 
       (843*s[53])/22 + (36*s[54])/11 - (5575*s[55])/22 - (1017*s[56])/22 - 
       (4318*s[57])/33 - (4913*s[58])/198 + (9143*s[59])/198 + 
       (55867*s[60])/132 - (43685*s[61])/1782) + A5[u, v, w]*HPL[{1}, 1 - w]*
      ((3*s[4])/2 + s[5] + (5*s[6])/2 + (247*s[7])/12 - (41*s[8])/18 - 
       (151*s[9])/9 - (47*s[10])/9 - (251*s[11])/12 - (64*s[12])/3 - 
       (145*s[13])/12 - (35*s[14])/12 - (391*s[15])/12 - (215*s[16])/6 - 
       (127*s[17])/4 - (86*s[18])/27 - (191*s[19])/54 - (2191*s[20])/54 - 
       (1589*s[21])/108 + (1105*s[22])/108 + (139*s[23])/6 + 
       (1235*s[24])/54 - (6581*s[25])/243 + (3737*s[26])/243 - (3*s[39])/2 + 
       (3*s[40])/2 - (3*s[41])/2 + (5*s[42])/2 + (3*s[43])/2 - (5*s[44])/4 + 
       (7*s[45])/2 - 23*s[46] + (7*s[47])/12 - (11*s[48])/12 - 
       (73*s[49])/12 + 18*s[50] + (17*s[51])/12 + (11*s[52])/12 - 
       (47*s[53])/3 + 4*s[54] - (399*s[55])/4 - (101*s[56])/4 - 11*s[57] - 
       (1013*s[58])/36 + (1169*s[59])/36 + (12985*s[60])/72 - 
       (2045*s[61])/162) + A5[u, v, w]*HPL[{1}, 1 - v]*
      ((5*s[5])/2 + (5*s[6])/2 + 23*s[7] - (19*s[8])/18 - (361*s[9])/18 - 
       (143*s[10])/18 - (131*s[11])/6 - (115*s[12])/6 - (28*s[13])/3 - 
       (34*s[14])/3 - (233*s[15])/6 - (124*s[16])/3 - (127*s[17])/3 - 
       (359*s[18])/54 - (35*s[19])/27 - (1465*s[20])/27 - (1313*s[21])/54 + 
       (314*s[22])/27 + (65*s[23])/3 + (614*s[24])/27 - (22567*s[25])/972 + 
       (18175*s[26])/972 - (3*s[39])/2 + (3*s[40])/2 - (3*s[41])/2 + 
       (5*s[42])/2 + (3*s[43])/2 - (5*s[44])/4 + (7*s[45])/2 - 23*s[46] + 
       (7*s[47])/12 - (11*s[48])/12 - (73*s[49])/12 + 18*s[50] + 
       (17*s[51])/12 + (11*s[52])/12 - (47*s[53])/3 + 4*s[54] - 
       (399*s[55])/4 - (101*s[56])/4 - 11*s[57] - (1013*s[58])/36 + 
       (1169*s[59])/36 + (12985*s[60])/72 - (2045*s[61])/162) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*J1[v, w, u]*((45*s[5])/22 + 
       (105*s[6])/88 + (3395*s[7])/176 - (45*s[8])/44 - (135*s[9])/8 - 
       (15*s[10])/2 - (765*s[11])/44 - (1245*s[12])/88 - (545*s[13])/88 - 
       (405*s[14])/44 - (585*s[15])/16 - (6295*s[16])/176 - (1745*s[17])/44 - 
       (65*s[18])/24 - (115*s[19])/24 - (12175*s[20])/264 - (580*s[21])/33 + 
       (1273*s[22])/132 + (881*s[23])/176 + (4263*s[24])/176 - 
       (46087*s[25])/2376 + (3944*s[26])/297 + s[37] + (45*s[43])/44 - 
       (45*s[44])/88 + (45*s[45])/11 - (855*s[46])/44 - (91*s[47])/88 - 
       (25*s[48])/88 - (365*s[49])/88 + (375*s[50])/22 - (45*s[51])/88 + 
       s[52]/88 - (1405*s[53])/88 + (15*s[54])/11 - (9321*s[55])/88 - 
       (1695*s[56])/88 - (1219*s[57])/22 - (2573*s[58])/264 + 
       (5099*s[59])/264 + (92525*s[60])/528 - (23585*s[61])/2376) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*J1[u, v, w]*((45*s[5])/22 + 
       (105*s[6])/88 + (3263*s[7])/176 - (23*s[8])/44 - (131*s[9])/8 - 
       8*s[10] - (183*s[11])/11 - (1113*s[12])/88 - (413*s[13])/88 - 
       (93*s[14])/11 - (597*s[15])/16 - (6295*s[16])/176 - (889*s[17])/22 - 
       (23*s[18])/8 - (41*s[19])/8 - (4051*s[20])/88 - (602*s[21])/33 + 
       (2425*s[22])/264 + (1409*s[23])/176 + (12437*s[24])/528 - 
       (21707*s[25])/1188 + (32245*s[26])/2376 + s[37] + (45*s[43])/44 - 
       (45*s[44])/88 + (45*s[45])/11 - (855*s[46])/44 - (91*s[47])/88 - 
       (25*s[48])/88 - (365*s[49])/88 + (375*s[50])/22 - (45*s[51])/88 + 
       s[52]/88 - (1405*s[53])/88 + (15*s[54])/11 - (9321*s[55])/88 - 
       (1695*s[56])/88 - (1219*s[57])/22 - (2573*s[58])/264 + 
       (5099*s[59])/264 + (92525*s[60])/528 - (23585*s[61])/2376) + 
     H1[v, w, u]*HPL[{1}, 1 - w]^2*((9*s[5])/11 + (21*s[6])/44 + 
       (723*s[7])/88 - (49*s[8])/66 - (85*s[9])/12 - (8*s[10])/3 - 
       (82*s[11])/11 - (293*s[12])/44 - (153*s[13])/44 - (46*s[14])/11 - 
       (115*s[15])/8 - (1259*s[16])/88 - (169*s[17])/11 - (35*s[18])/36 - 
       (61*s[19])/36 - (7327*s[20])/396 - (619*s[21])/99 + (1631*s[22])/396 + 
       (97*s[23])/88 + (7867*s[24])/792 - (7963*s[25])/891 + 
       (18577*s[26])/3564 + (9*s[43])/22 - (9*s[44])/44 + (18*s[45])/11 - 
       (171*s[46])/22 + (17*s[47])/44 - (5*s[48])/44 - (73*s[49])/44 + 
       (75*s[50])/11 + (13*s[51])/44 - (13*s[52])/44 - (281*s[53])/44 + 
       (6*s[54])/11 - (909*s[55])/22 - (339*s[56])/44 - (694*s[57])/33 - 
       (1843*s[58])/396 + (2725*s[59])/396 + (18769*s[60])/264 - 
       (14965*s[61])/3564) + H1[u, v, w]*HPL[{1}, 1 - v]^2*
      ((9*s[5])/11 + (21*s[6])/44 + (679*s[7])/88 - (9*s[8])/22 - 
       (27*s[9])/4 - 3*s[10] - (153*s[11])/22 - (249*s[12])/44 - 
       (109*s[13])/44 - (81*s[14])/22 - (117*s[15])/8 - (1259*s[16])/88 - 
       (349*s[17])/22 - (13*s[18])/12 - (23*s[19])/12 - (2435*s[20])/132 - 
       (232*s[21])/33 + (259*s[22])/66 + (229*s[23])/88 + (747*s[24])/88 - 
       (3181*s[25])/396 + (553*s[26])/99 + (9*s[43])/22 - (9*s[44])/44 + 
       (18*s[45])/11 - (171*s[46])/22 + (17*s[47])/44 - (5*s[48])/44 - 
       (73*s[49])/44 + (75*s[50])/11 + (13*s[51])/44 - (13*s[52])/44 - 
       (281*s[53])/44 + (6*s[54])/11 - (909*s[55])/22 - (339*s[56])/44 - 
       (694*s[57])/33 - (1843*s[58])/396 + (2725*s[59])/396 + 
       (18769*s[60])/264 - (14965*s[61])/3564) + HPL[{1}, 1 - w]^4*
      Phi6[u, v, w]*((9*s[5])/11 + (21*s[6])/44 + (679*s[7])/88 - 
       (9*s[8])/22 - (27*s[9])/4 - 3*s[10] - (153*s[11])/22 - 
       (249*s[12])/44 - (109*s[13])/44 - (81*s[14])/22 - (119*s[15])/8 - 
       (1259*s[16])/88 - (349*s[17])/22 - (13*s[18])/12 - (23*s[19])/12 - 
       (2435*s[20])/132 - (232*s[21])/33 + (169*s[22])/44 + (229*s[23])/88 + 
       (835*s[24])/88 - (4667*s[25])/594 + (6427*s[26])/1188 + s[37]/4 + 
       (9*s[43])/22 - (9*s[44])/44 + (18*s[45])/11 - (171*s[46])/22 - 
       (5*s[47])/44 - (5*s[48])/44 - (73*s[49])/44 + (75*s[50])/11 - 
       (9*s[51])/44 - (13*s[52])/44 - (281*s[53])/44 + (6*s[54])/11 - 
       (460*s[55])/11 - (339*s[56])/44 - (235*s[57])/11 - (195*s[58])/44 + 
       (337*s[59])/44 + (18241*s[60])/264 - (9907*s[61])/2376) + 
     HPL[{1}, 1 - v]^4*Phi6[u, v, w]*((9*s[5])/11 + (21*s[6])/44 + 
       (679*s[7])/88 - (9*s[8])/22 - (27*s[9])/4 - 3*s[10] - (153*s[11])/22 - 
       (249*s[12])/44 - (109*s[13])/44 - (81*s[14])/22 - (117*s[15])/8 - 
       (1259*s[16])/88 - (349*s[17])/22 - (13*s[18])/12 - (23*s[19])/12 - 
       (2435*s[20])/132 - (232*s[21])/33 + (1003*s[22])/264 + 
       (229*s[23])/88 + (747*s[24])/88 - (18899*s[25])/2376 + 
       (13085*s[26])/2376 + s[37]/4 + (9*s[43])/22 - (9*s[44])/44 + 
       (18*s[45])/11 - (171*s[46])/22 - (5*s[47])/44 - (5*s[48])/44 - 
       (73*s[49])/44 + (75*s[50])/11 - (9*s[51])/44 - (13*s[52])/44 - 
       (281*s[53])/44 + (6*s[54])/11 - (460*s[55])/11 - (339*s[56])/44 - 
       (235*s[57])/11 - (195*s[58])/44 + (337*s[59])/44 + (18241*s[60])/264 - 
       (9907*s[61])/2376) + H1[w, u, v]*HPL[{1}, 1 - v]^2*
      ((9*s[5])/11 + (21*s[6])/44 + (679*s[7])/88 - (9*s[8])/22 - 
       (27*s[9])/4 - 3*s[10] - (153*s[11])/22 - (249*s[12])/44 - 
       (109*s[13])/44 - (81*s[14])/22 - (117*s[15])/8 - (1259*s[16])/88 - 
       (349*s[17])/22 - (13*s[18])/12 - (23*s[19])/12 - (2435*s[20])/132 - 
       (232*s[21])/33 + (79*s[22])/22 + (229*s[23])/88 + (923*s[24])/88 - 
       (9235*s[25])/1188 + (1582*s[26])/297 + (9*s[43])/22 - (9*s[44])/44 + 
       (18*s[45])/11 - (171*s[46])/22 - (27*s[47])/44 - (5*s[48])/44 - 
       (73*s[49])/44 + (75*s[50])/11 + (13*s[51])/44 - (13*s[52])/44 - 
       (281*s[53])/44 + (6*s[54])/11 - (931*s[55])/22 - (339*s[56])/44 - 
       (716*s[57])/33 - (1667*s[58])/396 + (3341*s[59])/396 + 
       (18769*s[60])/264 - (14393*s[61])/3564) + 
     H1[w, u, v]*HPL[{1}, 1 - w]^2*((9*s[5])/11 + (21*s[6])/44 + 
       (635*s[7])/88 - (5*s[8])/66 - (77*s[9])/12 - (10*s[10])/3 - 
       (71*s[11])/11 - (205*s[12])/44 - (65*s[13])/44 - (35*s[14])/11 - 
       (123*s[15])/8 - (1259*s[16])/88 - (180*s[17])/11 - (43*s[18])/36 - 
       (77*s[19])/36 - (7283*s[20])/396 - (773*s[21])/99 + (1411*s[22])/396 + 
       (361*s[23])/88 + (7163*s[24])/792 - (6038*s[25])/891 + 
       (19985*s[26])/3564 + (9*s[43])/22 - (9*s[44])/44 + (18*s[45])/11 - 
       (171*s[46])/22 - (27*s[47])/44 - (5*s[48])/44 - (73*s[49])/44 + 
       (75*s[50])/11 + (13*s[51])/44 - (13*s[52])/44 - (281*s[53])/44 + 
       (6*s[54])/11 - (931*s[55])/22 - (339*s[56])/44 - (716*s[57])/33 - 
       (1667*s[58])/396 + (3341*s[59])/396 + (18769*s[60])/264 - 
       (14393*s[61])/3564) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*J1[u, v, w]*
      ((9*s[5])/22 + (21*s[6])/88 + (679*s[7])/176 - (9*s[8])/44 - 
       (27*s[9])/8 - (3*s[10])/2 - (153*s[11])/44 - (249*s[12])/88 - 
       (109*s[13])/88 - (81*s[14])/44 - (117*s[15])/16 - (1259*s[16])/176 - 
       (349*s[17])/44 - (13*s[18])/24 - (23*s[19])/24 - (2435*s[20])/264 - 
       (116*s[21])/33 + (281*s[22])/132 + (493*s[23])/176 + (747*s[24])/176 - 
       (8795*s[25])/2376 + (736*s[26])/297 + (9*s[43])/44 - (9*s[44])/88 + 
       (9*s[45])/11 - (171*s[46])/44 - (71*s[47])/88 - (5*s[48])/88 - 
       (73*s[49])/88 + (75*s[50])/22 - (9*s[51])/88 - (79*s[52])/88 - 
       (281*s[53])/88 + (3*s[54])/11 - (1917*s[55])/88 - (339*s[56])/88 - 
       (213*s[57])/22 - (761*s[58])/264 + (1583*s[59])/264 + 
       (16921*s[60])/528 - (4673*s[61])/2376) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*J1[v, w, u]*((9*s[5])/22 + (21*s[6])/88 + 
       (547*s[7])/176 + (13*s[8])/44 - (23*s[9])/8 - 2*s[10] - 
       (30*s[11])/11 - (117*s[12])/88 + (23*s[13])/88 - (12*s[14])/11 - 
       (129*s[15])/16 - (1259*s[16])/176 - (191*s[17])/22 - (17*s[18])/24 - 
       (31*s[19])/24 - (2413*s[20])/264 - (57*s[21])/11 + (397*s[22])/264 + 
       (493*s[23])/176 + (1889*s[24])/528 - (815*s[25])/396 + 
       (2575*s[26])/792 + (9*s[43])/44 - (9*s[44])/88 + (9*s[45])/11 - 
       (171*s[46])/44 - (71*s[47])/88 - (5*s[48])/88 - (73*s[49])/88 + 
       (75*s[50])/22 - (9*s[51])/88 - (79*s[52])/88 - (281*s[53])/88 + 
       (3*s[54])/11 - (1917*s[55])/88 - (339*s[56])/88 - (213*s[57])/22 - 
       (761*s[58])/264 + (1583*s[59])/264 + (16921*s[60])/528 - 
       (4673*s[61])/2376) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*J1[w, u, v]*
      ((9*s[5])/22 + (21*s[6])/88 + (811*s[7])/176 - (31*s[8])/44 - 
       (31*s[9])/8 - s[10] - (93*s[11])/22 - (381*s[12])/88 - 
       (241*s[13])/88 - (57*s[14])/22 - (105*s[15])/16 - (1259*s[16])/176 - 
       (79*s[17])/11 - (3*s[18])/8 - (5*s[19])/8 - (819*s[20])/88 - 
       (61*s[21])/33 + (617*s[22])/264 - (35*s[23])/176 + (3121*s[24])/528 - 
       (6889*s[25])/1188 + (5129*s[26])/2376 + (9*s[43])/44 - (9*s[44])/88 + 
       (9*s[45])/11 - (171*s[46])/44 + (61*s[47])/88 - (5*s[48])/88 - 
       (73*s[49])/88 + (75*s[50])/22 - (9*s[51])/88 + (53*s[52])/88 - 
       (281*s[53])/88 + (3*s[54])/11 - (1785*s[55])/88 - (339*s[56])/88 - 
       (257*s[57])/22 - (409*s[58])/264 + (439*s[59])/264 + 
       (20617*s[60])/528 - (4673*s[61])/2376) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*J1[w, u, v]*((9*s[5])/22 + (21*s[6])/88 + 
       (679*s[7])/176 - (9*s[8])/44 - (27*s[9])/8 - (3*s[10])/2 - 
       (153*s[11])/44 - (249*s[12])/88 - (109*s[13])/88 - (81*s[14])/44 - 
       (117*s[15])/16 - (1259*s[16])/176 - (349*s[17])/44 - (13*s[18])/24 - 
       (23*s[19])/24 - (2435*s[20])/264 - (116*s[21])/33 + (259*s[22])/132 - 
       (35*s[23])/176 + (923*s[24])/176 - (3181*s[25])/792 + 
       (553*s[26])/198 + (9*s[43])/44 - (9*s[44])/88 + (9*s[45])/11 - 
       (171*s[46])/44 + (61*s[47])/88 - (5*s[48])/88 - (73*s[49])/88 + 
       (75*s[50])/22 - (9*s[51])/88 + (53*s[52])/88 - (281*s[53])/88 + 
       (3*s[54])/11 - (1785*s[55])/88 - (339*s[56])/88 - (257*s[57])/22 - 
       (409*s[58])/264 + (439*s[59])/264 + (20617*s[60])/528 - 
       (4673*s[61])/2376) + A4[v, w, u]*HPL[{1}, 1 - v]*
      (s[6] + (2*s[8])/9 + (2*s[9])/9 + (7*s[10])/9 - s[11]/6 - (5*s[12])/6 - 
       (7*s[13])/6 - (5*s[14])/3 + (16*s[15])/3 + (17*s[16])/6 + 
       (13*s[17])/3 - (20*s[18])/27 + (41*s[19])/27 + (119*s[20])/54 + 
       (95*s[21])/54 - (5*s[22])/27 - (11*s[23])/3 - (53*s[24])/27 - 
       (307*s[25])/486 - (193*s[26])/243 + s[37] - s[43] + s[47]/6 + 
       s[48]/6 + (17*s[49])/6 - s[50] + (3*s[51])/2 + s[52]/3 + (5*s[53])/3 + 
       4*s[54] + (21*s[55])/2 - (9*s[56])/2 + 10*s[57] - (53*s[58])/18 - 
       (61*s[59])/18 - (587*s[60])/36 - (307*s[61])/162) + 
     A4[w, u, v]*HPL[{1}, 1 - w]*(s[7]/6 + s[8]/9 + s[9]/9 - s[10]/9 + 
       s[11]/6 - (2*s[12])/3 + s[13]/3 - (5*s[14])/6 + (13*s[15])/6 + 
       (11*s[16])/6 + 4*s[17] - (70*s[18])/27 + (67*s[19])/27 - 
       (29*s[20])/54 - (13*s[21])/27 - (5*s[22])/54 + (29*s[23])/6 - 
       (161*s[24])/54 + (241*s[25])/486 + (37*s[26])/243 + s[37] - s[43] + 
       s[47]/6 + s[48]/6 + (17*s[49])/6 - s[50] + (3*s[51])/2 + s[52]/3 + 
       (5*s[53])/3 + 4*s[54] + (21*s[55])/2 - (9*s[56])/2 + 10*s[57] - 
       (53*s[58])/18 - (61*s[59])/18 - (587*s[60])/36 - (307*s[61])/162) + 
     A6[u, v, w]*HPL[{1}, 1 - w]*(s[6] + s[7]/6 + s[10] - s[12]/2 - 
       (5*s[13])/6 - (3*s[14])/2 + (5*s[15])/2 + (8*s[16])/3 + (10*s[17])/3 - 
       (11*s[18])/9 + (20*s[19])/9 + (10*s[20])/9 - (5*s[21])/18 - s[22]/6 + 
       (31*s[23])/6 - (29*s[24])/6 + (49*s[25])/162 + (77*s[26])/162 + 
       s[47]/3 + s[48]/3 + (8*s[49])/3 - 2*s[50] + s[51] - (4*s[52])/3 + 
       (4*s[53])/3 + 4*s[54] + 9*s[55] - 4*s[56] + (53*s[57])/3 - 8*s[58] + 
       (10*s[59])/3 - (181*s[60])/9 - (193*s[61])/162) + 
     A6[u, v, w]*HPL[{1}, 1 - v]*(s[6] + s[7]/6 + s[10] - s[12]/2 - 
       (5*s[13])/6 - (3*s[14])/2 + (5*s[15])/2 + (8*s[16])/3 + (10*s[17])/3 - 
       (17*s[18])/9 + (26*s[19])/9 + (4*s[20])/9 - (41*s[21])/18 - s[22]/6 + 
       (37*s[23])/6 - (35*s[24])/6 + (98*s[25])/81 + (127*s[26])/81 + 
       s[47]/3 + s[48]/3 + (8*s[49])/3 - 2*s[50] + s[51] - (4*s[52])/3 + 
       (4*s[53])/3 + 4*s[54] + 9*s[55] - 4*s[56] + (53*s[57])/3 - 8*s[58] + 
       (10*s[59])/3 - (181*s[60])/9 - (193*s[61])/162) + 
     A2[v, w, u]*HPL[{1}, 1 - w]*(2*s[15] + s[16] + s[17] + s[18]/3 - 
       s[19]/3 + (4*s[20])/3 + (7*s[21])/3 + 2*s[23] - s[24] - 
       (25*s[25])/27 - (38*s[26])/27 + s[49] + s[51] - s[52] + 2*s[54] + 
       4*s[55] - s[56] + 3*s[57] - s[58] - (9*s[60])/2 - (13*s[61])/18) + 
     A2[w, v, u]*HPL[{1}, 1 - v]*(s[13] + s[16] + s[17] - s[18]/3 + s[19]/3 - 
       s[20]/3 - s[21]/3 + s[23] - s[24] + (11*s[25])/54 + (7*s[26])/54 + 
       s[49] + s[51] - s[52] + 2*s[54] + 4*s[55] - s[56] + 3*s[57] - s[58] - 
       (9*s[60])/2 - (13*s[61])/18) + A1[w, v, u]*HPL[{1}, 1 - v]*
      (s[4] - (15*s[5])/11 + (87*s[6])/22 + (61*s[7])/33 - (7*s[8])/22 + 
       s[9]/2 + 2*s[10] - (293*s[11])/44 - (465*s[12])/44 - (877*s[13])/66 + 
       (113*s[14])/22 + (17*s[15])/3 - (56*s[16])/33 + (905*s[17])/132 + 
       (89*s[18])/18 - (71*s[19])/18 + (1094*s[20])/99 + (1253*s[21])/198 + 
       (28*s[22])/33 - (215*s[23])/132 + (1141*s[24])/132 - 
       (49349*s[25])/3564 + (9137*s[26])/3564 + s[37] + s[38] - 2*s[39] + 
       2*s[40] - s[41] + 2*s[42] + (31*s[43])/11 - (32*s[44])/11 - 
       (8*s[45])/11 - (72*s[46])/11 - (46*s[47])/33 + (185*s[48])/33 - 
       (401*s[49])/33 + (18*s[50])/11 + (14*s[51])/33 + (19*s[52])/33 + 
       (2*s[53])/33 - (10*s[54])/11 + (37*s[55])/11 - (54*s[56])/11 + 
       (1318*s[57])/33 - (202*s[58])/11 + (566*s[59])/33 + (5197*s[60])/99 - 
       (415*s[61])/891) + A1[v, w, u]*HPL[{1}, 1 - w]*
      ((7*s[5])/11 + (21*s[6])/22 + (226*s[7])/33 - (7*s[8])/22 - 
       (11*s[9])/2 - 2*s[10] - (359*s[11])/44 - (487*s[12])/44 - 
       (349*s[13])/66 - (63*s[14])/22 - 5*s[15] - (353*s[16])/33 - 
       (481*s[17])/132 - (103*s[18])/18 + (67*s[19])/18 - (1744*s[20])/99 - 
       (1981*s[21])/198 + (46*s[22])/11 + (3283*s[23])/132 + 
       (415*s[24])/132 - (26447*s[25])/3564 + (26627*s[26])/3564 + s[37] + 
       s[38] - 2*s[39] + 2*s[40] - s[41] + 2*s[42] + (31*s[43])/11 - 
       (32*s[44])/11 - (8*s[45])/11 - (72*s[46])/11 - (46*s[47])/33 + 
       (185*s[48])/33 - (401*s[49])/33 + (18*s[50])/11 + (14*s[51])/33 + 
       (19*s[52])/33 + (2*s[53])/33 - (10*s[54])/11 + (37*s[55])/11 - 
       (54*s[56])/11 + (1318*s[57])/33 - (202*s[58])/11 + (566*s[59])/33 + 
       (5197*s[60])/99 - (415*s[61])/891) + A9[u, v, w]*HPL[{1}, 1 - w]*
      (s[4]/2 + s[6]/2 + (9*s[7])/4 - s[8]/2 - 2*s[9] - (11*s[11])/4 - 
       3*s[12] - (9*s[13])/4 + s[14]/4 - (47*s[15])/12 - 4*s[16] - 
       (13*s[17])/4 - s[19]/2 - (7*s[20])/2 - (11*s[21])/12 + (5*s[22])/4 + 
       3*s[23] + (8*s[24])/3 - (25*s[25])/6 + (11*s[26])/6 - s[39]/2 + 
       s[40]/2 - s[41]/2 + s[42]/2 + s[43]/2 - s[44]/4 + s[45]/2 - 3*s[46] + 
       s[47]/4 + (3*s[48])/4 - (7*s[49])/4 + 2*s[50] + (17*s[51])/12 + 
       s[52]/4 - 2*s[53] - (125*s[55])/12 - (9*s[56])/4 + (5*s[57])/3 - 
       (157*s[58])/36 + (157*s[59])/36 + (185*s[60])/8 - (37*s[61])/81) + 
     A9[u, v, w]*HPL[{1}, 1 - v]*(s[5]/2 + s[6]/2 + 3*s[7] - s[8]/6 - 
       (19*s[9])/6 - (5*s[10])/6 - 3*s[11] - (5*s[12])/2 - (3*s[13])/2 - 
       (3*s[14])/2 - (9*s[15])/2 - (11*s[16])/2 - (11*s[17])/2 - 
       (17*s[18])/18 + s[19]/9 - (61*s[20])/9 - (28*s[21])/9 + 
       (31*s[22])/18 + (5*s[23])/2 + (37*s[24])/18 - (1033*s[25])/324 + 
       (745*s[26])/324 - s[39]/2 + s[40]/2 - s[41]/2 + s[42]/2 + s[43]/2 - 
       s[44]/4 + s[45]/2 - 3*s[46] + s[47]/4 + (3*s[48])/4 - (7*s[49])/4 + 
       2*s[50] + (17*s[51])/12 + s[52]/4 - 2*s[53] - (125*s[55])/12 - 
       (9*s[56])/4 + (5*s[57])/3 - (157*s[58])/36 + (157*s[59])/36 + 
       (185*s[60])/8 - (37*s[61])/81) + A2[u, v, w]*HPL[{1}, 1 - v]*
      (-s[6] + s[10] - s[12] + 2*s[15] + s[16] + s[17] + s[18]/3 - s[19]/3 + 
       (4*s[20])/3 + (7*s[21])/3 - s[23] + s[24] - (25*s[25])/27 - 
       (38*s[26])/27 + s[47] - s[48] + 2*s[54] + 2*s[55] - s[56] + s[58] - 
       2*s[59] - s[60]/2 - (2*s[61])/9) + A2[u, w, v]*HPL[{1}, 1 - w]*
      (-s[18]/3 + s[19]/3 + (2*s[20])/3 - (8*s[25])/27 + (8*s[26])/27 + 
       s[47] - s[48] + 2*s[54] + 2*s[55] - s[56] + s[58] - 2*s[59] - 
       s[60]/2 - (2*s[61])/9) + A5[w, u, v]*HPL[{1}, 1 - v]*
      (-s[25]/9 + s[26]/9 - s[61]/9) + A2[v, w, u]*HPL[{1}, 1 - v]*
      (2*s[23] - (5*s[24])/3 - s[51] - s[52] + 2*s[57] - (4*s[58])/3 + 
       (4*s[59])/3 - (8*s[60])/3 - s[61]/9) + A2[w, v, u]*HPL[{1}, 1 - w]*
      ((-2*s[21])/3 - (2*s[24])/3 + s[25]/3 + s[26]/3 - s[51] - s[52] + 
       2*s[57] - (4*s[58])/3 + (4*s[59])/3 - (8*s[60])/3 - s[61]/9) + 
     A2[w, u, v]*HPL[{1}, 1 - v]*(-s[5] - s[11] - 3*s[12] - 4*s[13] + s[14] + 
       6*s[15] + 4*s[16] + 8*s[17] + s[18]/3 - s[19]/3 + (7*s[20])/3 + 
       2*s[21] - 10*s[23] - s[24]/3 - (52*s[25])/27 - (2*s[26])/27 - s[47] + 
       s[48] - s[49] - 2*s[51] + s[52] + 2*s[53] - 2*s[54] + 3*s[55] + 
       s[56] + 2*s[57] - (7*s[58])/3 - (2*s[59])/3 + (29*s[60])/6 - 
       s[61]/9) + A2[v, u, w]*HPL[{1}, 1 - w]*(-s[15] - s[16] - s[17] - 
       s[18]/3 + s[19]/3 - (4*s[20])/3 - (7*s[21])/3 + 2*s[23] + 
       (25*s[25])/27 + (38*s[26])/27 - s[47] + s[48] - s[49] - 2*s[51] + 
       s[52] + 2*s[53] - 2*s[54] + 3*s[55] + s[56] + 2*s[57] - (7*s[58])/3 - 
       (2*s[59])/3 + (29*s[60])/6 - s[61]/9) + A4[w, u, v]*HPL[{1}, 1 - v]*
      (s[22]/3 + (5*s[25])/27 - (5*s[26])/27 + (5*s[61])/27) + 
     A2[w, u, v]*HPL[{1}, 1 - w]*(s[15] + s[18]/3 - s[19]/3 - (2*s[20])/3 + 
       (8*s[25])/27 - (8*s[26])/27 - s[47] + s[48] - s[49] - 2*s[51] - 
       2*s[54] - 3*s[55] + s[56] - s[58] + 2*s[59] + (5*s[60])/2 + 
       (2*s[61])/9) + A2[v, u, w]*HPL[{1}, 1 - v]*(-2*s[15] - s[16] - s[17] - 
       s[18]/3 + s[19]/3 - (4*s[20])/3 - (7*s[21])/3 + s[23] + 
       (25*s[25])/27 + (38*s[26])/27 - s[47] + s[48] - s[49] - 2*s[51] - 
       2*s[54] - 3*s[55] + s[56] - s[58] + 2*s[59] + (5*s[60])/2 + 
       (2*s[61])/9) + A1[v, w, u]*HPL[{1}, 1 - v]*
      ((2*s[22])/3 + (10*s[25])/27 - (10*s[26])/27 + (10*s[61])/27) + 
     A1[v, u, w]*HPL[{1}, 1 - w]*((-7*s[5])/11 - (21*s[6])/22 - 
       (226*s[7])/33 + (7*s[8])/22 + (11*s[9])/2 + 2*s[10] + (403*s[11])/44 + 
       (487*s[12])/44 + (349*s[13])/66 + (63*s[14])/22 + 5*s[15] + 
       (353*s[16])/33 + (481*s[17])/132 + (103*s[18])/18 - (49*s[19])/18 + 
       (1744*s[20])/99 + (1849*s[21])/198 - (127*s[22])/33 - 
       (3019*s[23])/132 - (503*s[24])/132 + (33443*s[25])/3564 - 
       (27683*s[26])/3564 - s[38] + 2*s[39] - 2*s[40] + s[41] - 2*s[42] - 
       (31*s[43])/11 + (32*s[44])/11 + (8*s[45])/11 + (72*s[46])/11 + 
       (46*s[47])/33 - (185*s[48])/33 + (401*s[49])/33 - (18*s[50])/11 - 
       (14*s[51])/33 - (19*s[52])/33 - (2*s[53])/33 + (10*s[54])/11 - 
       (37*s[55])/11 + (54*s[56])/11 - (1252*s[57])/33 + (584*s[58])/33 - 
       (544*s[59])/33 - (5428*s[60])/99 + (481*s[61])/891) + 
     A1[w, u, v]*HPL[{1}, 1 - v]*(-s[4] + (15*s[5])/11 - (87*s[6])/22 - 
       (28*s[7])/33 + (7*s[8])/22 - s[9]/2 - 2*s[10] + (293*s[11])/44 + 
       (465*s[12])/44 + (877*s[13])/66 - (135*s[14])/22 - (17*s[15])/3 + 
       (56*s[16])/33 - (905*s[17])/132 - (89*s[18])/18 + (71*s[19])/18 - 
       (1094*s[20])/99 - (1253*s[21])/198 - (28*s[22])/33 + (215*s[23])/132 - 
       (1141*s[24])/132 + (49349*s[25])/3564 - (9137*s[26])/3564 - s[38] + 
       2*s[39] - 2*s[40] + s[41] - 2*s[42] - (31*s[43])/11 + (32*s[44])/11 + 
       (8*s[45])/11 + (72*s[46])/11 + (46*s[47])/33 - (185*s[48])/33 + 
       (401*s[49])/33 - (18*s[50])/11 - (14*s[51])/33 - (19*s[52])/33 - 
       (2*s[53])/33 + (10*s[54])/11 - (37*s[55])/11 + (54*s[56])/11 - 
       (1252*s[57])/33 + (584*s[58])/33 - (544*s[59])/33 - (5428*s[60])/99 + 
       (481*s[61])/891) + A1[v, u, w]*HPL[{1}, 1 - v]*
      ((-7*s[5])/11 - (21*s[6])/22 - (226*s[7])/33 + (7*s[8])/22 + 
       (11*s[9])/2 + 2*s[10] + (403*s[11])/44 + (487*s[12])/44 + 
       (349*s[13])/66 + (63*s[14])/22 + 5*s[15] + (353*s[16])/33 + 
       (481*s[17])/132 + (103*s[18])/18 - (67*s[19])/18 + (1744*s[20])/99 + 
       (1981*s[21])/198 - (127*s[22])/33 - (3019*s[23])/132 - 
       (503*s[24])/132 + (31067*s[25])/3564 - (27683*s[26])/3564 - s[38] + 
       2*s[39] - 2*s[40] + s[41] - 2*s[42] - (31*s[43])/11 + (32*s[44])/11 + 
       (19*s[45])/11 + (72*s[46])/11 + (46*s[47])/33 - (185*s[48])/33 + 
       (401*s[49])/33 - (18*s[50])/11 - (14*s[51])/33 - (19*s[52])/33 - 
       (2*s[53])/33 + (10*s[54])/11 - (37*s[55])/11 + (54*s[56])/11 - 
       (1252*s[57])/33 + (584*s[58])/33 - (544*s[59])/33 - (5428*s[60])/99 + 
       (481*s[61])/891) + A1[w, u, v]*HPL[{1}, 1 - w]*
      (-s[4] + (15*s[5])/11 - (87*s[6])/22 - (28*s[7])/33 + (7*s[8])/22 - 
       s[9]/2 - 2*s[10] + (293*s[11])/44 + (465*s[12])/44 + (877*s[13])/66 - 
       (113*s[14])/22 - (17*s[15])/3 + (56*s[16])/33 - (905*s[17])/132 - 
       (89*s[18])/18 + (71*s[19])/18 - (1094*s[20])/99 - (1253*s[21])/198 - 
       (28*s[22])/33 + (215*s[23])/132 - (1141*s[24])/132 + 
       (49349*s[25])/3564 - (9137*s[26])/3564 - s[38] + 2*s[39] - 2*s[40] + 
       s[41] - 2*s[42] - (31*s[43])/11 + (32*s[44])/11 + (19*s[45])/11 + 
       (72*s[46])/11 + (46*s[47])/33 - (185*s[48])/33 + (401*s[49])/33 - 
       (18*s[50])/11 - (14*s[51])/33 - (19*s[52])/33 - (2*s[53])/33 + 
       (10*s[54])/11 - (37*s[55])/11 + (54*s[56])/11 - (1252*s[57])/33 + 
       (584*s[58])/33 - (544*s[59])/33 - (5428*s[60])/99 + (481*s[61])/891) + 
     A4[u, v, w]*HPL[{1}, 1 - w]*(s[18]/3 - s[19]/3 - (2*s[20])/3 + 
       (8*s[25])/27 - (8*s[26])/27 - 2*s[54] + 2*s[56] - 2*s[57] + 
       (8*s[60])/3 + (22*s[61])/27) + A4[u, v, w]*HPL[{1}, 1 - v]*
      ((4*s[18])/3 - s[19]/3 - (2*s[20])/3 + (8*s[25])/27 - (8*s[26])/27 - 
       2*s[54] + 2*s[56] - 2*s[57] + (8*s[60])/3 + (22*s[61])/27) + 
     HPL[{1}, 1 - v]^2*J1[w, u, v]*((-9*s[5])/44 - (21*s[6])/176 - 
       (679*s[7])/352 + (9*s[8])/88 + (27*s[9])/16 + (3*s[10])/4 + 
       (153*s[11])/88 + (249*s[12])/176 + (109*s[13])/176 + (81*s[14])/88 + 
       (117*s[15])/32 + (1259*s[16])/352 + (349*s[17])/88 + (13*s[18])/48 + 
       (23*s[19])/48 + (2435*s[20])/528 + (58*s[21])/33 - (281*s[22])/264 - 
       (229*s[23])/352 - (571*s[24])/352 + (9323*s[25])/4752 - 
       (401*s[26])/297 - (9*s[43])/88 + (9*s[44])/176 - (9*s[45])/22 + 
       (171*s[46])/88 - (61*s[47])/176 + (5*s[48])/176 + (73*s[49])/176 - 
       (75*s[50])/44 - (13*s[51])/176 + (13*s[52])/176 + (281*s[53])/176 - 
       (3*s[54])/22 + (887*s[55])/88 + (339*s[56])/176 + (56*s[57])/11 + 
       (673*s[58])/528 - (703*s[59])/528 - (18769*s[60])/1056 + 
       (4651*s[61])/4752) + HPL[{1}, 1 - w]^2*J1[w, u, v]*
      ((-9*s[5])/44 - (21*s[6])/176 - (811*s[7])/352 + (31*s[8])/88 + 
       (31*s[9])/16 + s[10]/2 + (93*s[11])/44 + (381*s[12])/176 + 
       (241*s[13])/176 + (57*s[14])/44 + (107*s[15])/32 + (1259*s[16])/352 + 
       (79*s[17])/22 + (3*s[18])/16 + (5*s[19])/16 + (819*s[20])/176 + 
       (155*s[21])/132 - (617*s[22])/528 + (167*s[23])/352 - 
       (2857*s[24])/1056 + (824*s[25])/297 - (5723*s[26])/4752 - 
       (9*s[43])/88 + (9*s[44])/176 - (9*s[45])/22 + (171*s[46])/88 - 
       (61*s[47])/176 + (5*s[48])/176 + (73*s[49])/176 - (75*s[50])/44 - 
       (13*s[51])/176 + (13*s[52])/176 + (281*s[53])/176 - (3*s[54])/22 + 
       (887*s[55])/88 + (339*s[56])/176 + (56*s[57])/11 + (673*s[58])/528 - 
       (703*s[59])/528 - (18769*s[60])/1056 + (4651*s[61])/4752) + 
     HPL[{1}, 1 - w]^2*J1[v, w, u]*((-9*s[5])/44 - (21*s[6])/176 - 
       (547*s[7])/352 - (13*s[8])/88 + (23*s[9])/16 + s[10] + (15*s[11])/11 + 
       (117*s[12])/176 - (23*s[13])/176 + (6*s[14])/11 + (131*s[15])/32 + 
       (1259*s[16])/352 + (191*s[17])/44 + (17*s[18])/48 + (31*s[19])/48 + 
       (2413*s[20])/528 + (103*s[21])/44 - (397*s[22])/528 - 
       (625*s[23])/352 - (2153*s[24])/1056 + (457*s[25])/396 - 
       (2377*s[26])/1584 - (9*s[43])/88 + (9*s[44])/176 - (9*s[45])/22 + 
       (171*s[46])/88 + (71*s[47])/176 + (5*s[48])/176 + (73*s[49])/176 - 
       (75*s[50])/44 - (13*s[51])/176 + (13*s[52])/176 + (281*s[53])/176 - 
       (3*s[54])/22 + (953*s[55])/88 + (339*s[56])/176 + (123*s[57])/22 + 
       (497*s[58])/528 - (1319*s[59])/528 - (18769*s[60])/1056 + 
       (1565*s[61])/1584) + HPL[{1}, 1 - v]^2*J1[u, v, w]*
      ((-9*s[5])/44 - (21*s[6])/176 - (679*s[7])/352 + (9*s[8])/88 + 
       (27*s[9])/16 + (3*s[10])/4 + (153*s[11])/88 + (249*s[12])/176 + 
       (109*s[13])/176 + (81*s[14])/88 + (117*s[15])/32 + (1259*s[16])/352 + 
       (349*s[17])/88 + (13*s[18])/48 + (23*s[19])/48 + (2435*s[20])/528 + 
       (58*s[21])/33 - (259*s[22])/264 - (229*s[23])/352 - (1099*s[24])/352 + 
       (3005*s[25])/1584 - (509*s[26])/396 - (9*s[43])/88 + (9*s[44])/176 - 
       (9*s[45])/22 + (171*s[46])/88 + (71*s[47])/176 + (5*s[48])/176 + 
       (73*s[49])/176 - (75*s[50])/44 - (13*s[51])/176 + (13*s[52])/176 + 
       (281*s[53])/176 - (3*s[54])/22 + (953*s[55])/88 + (339*s[56])/176 + 
       (123*s[57])/22 + (497*s[58])/528 - (1319*s[59])/528 - 
       (18769*s[60])/1056 + (1565*s[61])/1584) + 
     (10*A1[w, v, u]*HPL[{1}, 1 - w]*s[61])/27 + 
     (5*A4[v, w, u]*HPL[{1}, 1 - w]*s[61])/27 - 
     (A5[v, w, u]*HPL[{1}, 1 - w]*s[61])/9 + A6[v, w, u]*HPL[{1}, 1 - v]*
      (-s[5] - s[6] - s[7]/6 - (2*s[8])/9 - (2*s[9])/9 - (7*s[10])/9 - 
       s[11]/3 - (7*s[12])/6 - (5*s[13])/2 + (19*s[14])/6 + (25*s[15])/6 + 
       3*s[16] + (16*s[17])/3 + (53*s[18])/27 - (74*s[19])/27 + 
       (113*s[20])/27 + (199*s[21])/54 + s[22]/54 - (29*s[23])/2 + 
       (79*s[24])/54 - (1037*s[25])/486 - (673*s[26])/486 - s[41] - 2*s[49] + 
       2*s[50] - 4*s[54] + 6*s[56] - (19*s[57])/3 + (17*s[58])/9 - 
       (17*s[59])/9 + (73*s[60])/6 + (137*s[61])/81) + 
     A6[w, u, v]*HPL[{1}, 1 - w]*(s[4] - s[6] + s[7]/6 - (4*s[8])/9 - 
       (4*s[9])/9 + (4*s[10])/9 + s[11]/3 + (7*s[12])/6 + (3*s[13])/2 + 
       (11*s[14])/6 - (25*s[15])/6 - 2*s[16] - (10*s[17])/3 + (7*s[18])/27 - 
       (22*s[19])/27 - (35*s[20])/27 - (43*s[21])/54 + (11*s[22])/54 + 
       (5*s[23])/2 + (41*s[24])/54 + (221*s[25])/486 + (85*s[26])/486 - 
       s[41] - 2*s[49] + 2*s[50] - 4*s[54] + 6*s[56] - (19*s[57])/3 + 
       (17*s[58])/9 - (17*s[59])/9 + (73*s[60])/6 + (137*s[61])/81) + 
     A8[u, v, w]*HPL[{1}, 1 - v]*(-s[42] + 2*s[43] - s[44]/2 - (3*s[47])/2 + 
       (9*s[48])/2 - (11*s[49])/2 - 2*s[50] - (5*s[51])/6 - s[52]/2 + 
       (11*s[55])/6 + (7*s[56])/2 - 16*s[57] + (13*s[58])/2 - (5*s[59])/2 + 
       (157*s[60])/12 + (61*s[61])/18) + A8[u, v, w]*HPL[{1}, 1 - w]*
      (2*s[6] - (3*s[7])/2 + s[8] + s[9] + s[10] + s[11]/2 + 2*s[12] - 
       (5*s[13])/2 - (5*s[14])/2 + (5*s[15])/6 + 2*s[16] - (3*s[17])/2 + 
       (10*s[18])/3 - (7*s[19])/3 + (16*s[20])/3 + (11*s[21])/6 - 
       (5*s[22])/6 - 17*s[23] + 4*s[24] - (2*s[25])/9 - s[26]/9 - s[42] + 
       2*s[43] - s[44]/2 - (3*s[47])/2 + (9*s[48])/2 - (11*s[49])/2 - 
       2*s[50] - (5*s[51])/6 - s[52]/2 + (11*s[55])/6 + (7*s[56])/2 - 
       16*s[57] + (13*s[58])/2 - (5*s[59])/2 + (157*s[60])/12 + 
       (61*s[61])/18) + A1[u, w, v]*HPL[{1}, 1 - w]*
      ((-15*s[5])/11 - (23*s[6])/22 - (368*s[7])/33 + (23*s[8])/66 + 
       (61*s[9])/6 + (13*s[10])/3 + (389*s[11])/44 + (195*s[12])/44 + 
       (113*s[13])/66 + (62*s[14])/11 + 26*s[15] + (703*s[16])/33 + 
       (3809*s[17])/132 + s[18]/18 + (77*s[19])/18 + (5147*s[20])/198 + 
       (689*s[21])/66 - (1031*s[22])/198 - (83*s[23])/132 - 
       (6037*s[24])/396 + (11945*s[25])/1188 - (9443*s[26])/1188 + s[37] - 
       (24*s[43])/11 - (9*s[44])/22 - (30*s[45])/11 + (126*s[46])/11 + 
       (20*s[47])/33 + (20*s[48])/33 + (160*s[49])/33 - (103*s[50])/11 + 
       (12*s[51])/11 + (5*s[52])/66 + (398*s[53])/33 - (10*s[54])/11 + 
       (796*s[55])/11 + (78*s[56])/11 + (1703*s[57])/33 - (245*s[58])/99 - 
       (1063*s[59])/99 - (10709*s[60])/99 + (2081*s[61])/594) + 
     A1[u, v, w]*HPL[{1}, 1 - v]*((-15*s[5])/11 - (23*s[6])/22 - 
       (368*s[7])/33 + (23*s[8])/66 + (61*s[9])/6 + (13*s[10])/3 + 
       (389*s[11])/44 + (195*s[12])/44 + (113*s[13])/66 + (62*s[14])/11 + 
       26*s[15] + (703*s[16])/33 + (3809*s[17])/132 + s[18]/18 + 
       (77*s[19])/18 + (5147*s[20])/198 + (215*s[21])/22 - (1031*s[22])/198 - 
       (347*s[23])/132 - (6037*s[24])/396 + (12341*s[25])/1188 - 
       (9047*s[26])/1188 + s[37] - (24*s[43])/11 - (9*s[44])/22 - 
       (30*s[45])/11 + (126*s[46])/11 + (20*s[47])/33 + (20*s[48])/33 + 
       (160*s[49])/33 - (103*s[50])/11 + (12*s[51])/11 + (5*s[52])/66 + 
       (398*s[53])/33 - (10*s[54])/11 + (796*s[55])/11 + (78*s[56])/11 + 
       (1703*s[57])/33 - (245*s[58])/99 - (1063*s[59])/99 - 
       (10709*s[60])/99 + (2081*s[61])/594) + HPL[{1}, 1 - w]^2*J1[u, v, w]*
      ((-45*s[5])/44 - (105*s[6])/176 - (3263*s[7])/352 + (23*s[8])/88 + 
       (131*s[9])/16 + 4*s[10] + (183*s[11])/22 + (1113*s[12])/176 + 
       (413*s[13])/176 + (93*s[14])/22 + (607*s[15])/32 + (6295*s[16])/352 + 
       (889*s[17])/44 + (23*s[18])/16 + (41*s[19])/16 + (4051*s[20])/176 + 
       (1237*s[21])/132 - (2425*s[22])/528 - (1541*s[23])/352 - 
       (12173*s[24])/1056 + (10705*s[25])/1188 - (32839*s[26])/4752 - 
       s[37]/2 - (45*s[43])/88 + (45*s[44])/176 - (45*s[45])/22 + 
       (855*s[46])/88 + (91*s[47])/176 + (25*s[48])/176 + (365*s[49])/176 - 
       (375*s[50])/44 + (67*s[51])/176 + (65*s[52])/176 + (1405*s[53])/176 - 
       (15*s[54])/22 + (4633*s[55])/88 + (1695*s[56])/176 + (593*s[57])/22 + 
       (2837*s[58])/528 - (5363*s[59])/528 - (90677*s[60])/1056 + 
       (25015*s[61])/4752) + HPL[{1}, 1 - v]^2*J1[v, w, u]*
      ((-45*s[5])/44 - (105*s[6])/176 - (3395*s[7])/352 + (45*s[8])/88 + 
       (135*s[9])/16 + (15*s[10])/4 + (765*s[11])/88 + (1245*s[12])/176 + 
       (545*s[13])/176 + (405*s[14])/88 + (585*s[15])/32 + (6295*s[16])/352 + 
       (1745*s[17])/88 + (65*s[18])/48 + (115*s[19])/48 + (12175*s[20])/528 + 
       (290*s[21])/33 - (1229*s[22])/264 - (1145*s[23])/352 - 
       (3911*s[24])/352 + (15773*s[25])/1584 - (683*s[26])/99 - s[37]/2 - 
       (45*s[43])/88 + (45*s[44])/176 - (45*s[45])/22 + (855*s[46])/88 + 
       (91*s[47])/176 + (25*s[48])/176 + (365*s[49])/176 - (375*s[50])/44 + 
       (67*s[51])/176 + (65*s[52])/176 + (1405*s[53])/176 - (15*s[54])/22 + 
       (4633*s[55])/88 + (1695*s[56])/176 + (593*s[57])/22 + 
       (2837*s[58])/528 - (5363*s[59])/528 - (90677*s[60])/1056 + 
       (25015*s[61])/4752) + A5[w, u, v]*HPL[{1}, 1 - w]*
      (-s[5] - s[6] - (59*s[7])/6 + (4*s[8])/9 + (76*s[9])/9 + (32*s[10])/9 + 
       (55*s[11])/6 + (25*s[12])/3 + (23*s[13])/6 + (31*s[14])/6 + 
       (101*s[15])/6 + (52*s[16])/3 + (35*s[17])/2 + (71*s[18])/27 + 
       (25*s[19])/27 + (644*s[20])/27 + (535*s[21])/54 - (263*s[22])/54 - 
       (17*s[23])/3 - (277*s[24])/27 + (4771*s[25])/486 - (3673*s[26])/486 - 
       s[44]/2 - 2*s[45] + 10*s[46] + s[47]/6 + s[48]/6 - s[49]/6 - 8*s[50] - 
       s[51]/6 - s[52]/6 + (20*s[53])/3 - 4*s[54] + (287*s[55])/6 + 
       (27*s[56])/2 + (55*s[57])/3 + (61*s[58])/6 - (21*s[59])/2 - 
       (2909*s[60])/36 + (1105*s[61])/162) + A5[v, w, u]*HPL[{1}, 1 - v]*
      (-s[5] - s[6] - 10*s[7] + (5*s[8])/9 + (77*s[9])/9 + (31*s[10])/9 + 
       (28*s[11])/3 + (26*s[12])/3 + (13*s[13])/3 + (16*s[14])/3 + 
       (49*s[15])/3 + (52*s[16])/3 + (52*s[17])/3 + (67*s[18])/27 + 
       (26*s[19])/27 + (637*s[20])/27 + (256*s[21])/27 - (134*s[22])/27 - 
       (14*s[23])/3 - (281*s[24])/27 + (4979*s[25])/486 - (3593*s[26])/486 - 
       s[44]/2 - 2*s[45] + 10*s[46] + s[47]/6 + s[48]/6 - s[49]/6 - 8*s[50] - 
       s[51]/6 - s[52]/6 + (20*s[53])/3 - 4*s[54] + (287*s[55])/6 + 
       (27*s[56])/2 + (55*s[57])/3 + (61*s[58])/6 - (21*s[59])/2 - 
       (2909*s[60])/36 + (1105*s[61])/162) + H1[w, u, v]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*((-18*s[5])/11 - (21*s[6])/22 - (635*s[7])/44 + 
       (5*s[8])/33 + (77*s[9])/6 + (20*s[10])/3 + (142*s[11])/11 + 
       (205*s[12])/22 + (65*s[13])/22 + (70*s[14])/11 + (121*s[15])/4 + 
       (1259*s[16])/44 + (360*s[17])/11 + (43*s[18])/18 + (77*s[19])/18 + 
       (7283*s[20])/198 + (1612*s[21])/99 - (1411*s[22])/198 - 
       (317*s[23])/44 - (6899*s[24])/396 + (11779*s[25])/891 - 
       (20579*s[26])/1782 - (9*s[43])/11 + (9*s[44])/22 - (36*s[45])/11 + 
       (171*s[46])/11 + (27*s[47])/22 + (5*s[48])/22 + (73*s[49])/22 - 
       (150*s[50])/11 + (9*s[51])/22 + (35*s[52])/22 + (281*s[53])/22 - 
       (12*s[54])/11 + (1873*s[55])/22 + (339*s[56])/22 + (1366*s[57])/33 + 
       (1931*s[58])/198 - (3605*s[59])/198 - (6051*s[60])/44 + 
       (13931*s[61])/1782) + H1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      ((-18*s[5])/11 - (21*s[6])/22 - (679*s[7])/44 + (9*s[8])/11 + 
       (27*s[9])/2 + 6*s[10] + (153*s[11])/11 + (249*s[12])/22 + 
       (109*s[13])/22 + (81*s[14])/11 + (117*s[15])/4 + (1259*s[16])/44 + 
       (349*s[17])/11 + (13*s[18])/6 + (23*s[19])/6 + (2435*s[20])/66 + 
       (464*s[21])/33 - (259*s[22])/33 - (317*s[23])/44 - (2417*s[24])/132 + 
       (3005*s[25])/198 - (1018*s[26])/99 - (9*s[43])/11 + (9*s[44])/22 - 
       (36*s[45])/11 + (171*s[46])/11 + (27*s[47])/22 + (5*s[48])/22 + 
       (73*s[49])/22 - (150*s[50])/11 + (9*s[51])/22 + (35*s[52])/22 + 
       (281*s[53])/22 - (12*s[54])/11 + (1873*s[55])/22 + (339*s[56])/22 + 
       (1366*s[57])/33 + (1931*s[58])/198 - (3605*s[59])/198 - 
       (6051*s[60])/44 + (13931*s[61])/1782) + HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - w]*Phi6[u, v, w]*((-18*s[5])/11 - (21*s[6])/22 - 
       (635*s[7])/44 + (5*s[8])/33 + (77*s[9])/6 + (20*s[10])/3 + 
       (142*s[11])/11 + (205*s[12])/22 + (65*s[13])/22 + (70*s[14])/11 + 
       (121*s[15])/4 + (1259*s[16])/44 + (360*s[17])/11 + (43*s[18])/18 + 
       (77*s[19])/18 + (7283*s[20])/198 + (1546*s[21])/99 - 
       (1411*s[22])/198 - (317*s[23])/44 - (7163*s[24])/396 + 
       (12076*s[25])/891 - (19985*s[26])/1782 - s[37]/2 - (9*s[43])/11 + 
       (9*s[44])/22 - (36*s[45])/11 + (171*s[46])/11 + (27*s[47])/22 + 
       (5*s[48])/22 + (73*s[49])/22 - (150*s[50])/11 + (9*s[51])/22 + 
       (13*s[52])/22 + (281*s[53])/22 - (12*s[54])/11 + (1873*s[55])/22 + 
       (339*s[56])/22 + (1432*s[57])/33 + (1667*s[58])/198 - 
       (3341*s[59])/198 - (18241*s[60])/132 + (14129*s[61])/1782) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*Phi6[u, v, w]*
      ((-18*s[5])/11 - (21*s[6])/22 - (679*s[7])/44 + (9*s[8])/11 + 
       (27*s[9])/2 + 6*s[10] + (153*s[11])/11 + (249*s[12])/22 + 
       (109*s[13])/22 + (81*s[14])/11 + (117*s[15])/4 + (1259*s[16])/44 + 
       (349*s[17])/11 + (13*s[18])/6 + (23*s[19])/6 + (2435*s[20])/66 + 
       (464*s[21])/33 - (259*s[22])/33 - (229*s[23])/44 - (835*s[24])/44 + 
       (3049*s[25])/198 - (1040*s[26])/99 - s[37]/2 - (9*s[43])/11 + 
       (9*s[44])/22 - (36*s[45])/11 + (171*s[46])/11 + (27*s[47])/22 + 
       (5*s[48])/22 + (73*s[49])/22 - (150*s[50])/11 + (9*s[51])/22 + 
       (13*s[52])/22 + (281*s[53])/22 - (12*s[54])/11 + (1873*s[55])/22 + 
       (339*s[56])/22 + (1432*s[57])/33 + (1667*s[58])/198 - 
       (3341*s[59])/198 - (18241*s[60])/132 + (14129*s[61])/1782) + 
     H1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*((-18*s[5])/11 - 
       (21*s[6])/22 - (679*s[7])/44 + (9*s[8])/11 + (27*s[9])/2 + 6*s[10] + 
       (153*s[11])/11 + (249*s[12])/22 + (109*s[13])/22 + (81*s[14])/11 + 
       (117*s[15])/4 + (1259*s[16])/44 + (349*s[17])/11 + (13*s[18])/6 + 
       (23*s[19])/6 + (2435*s[20])/66 + (464*s[21])/33 - (79*s[22])/11 - 
       (141*s[23])/44 - (2593*s[24])/132 + (9763*s[25])/594 - 
       (3428*s[26])/297 - (9*s[43])/11 + (9*s[44])/22 - (36*s[45])/11 + 
       (171*s[46])/11 - (17*s[47])/22 + (5*s[48])/22 + (73*s[49])/22 - 
       (150*s[50])/11 + (9*s[51])/22 - (9*s[52])/22 + (281*s[53])/22 - 
       (12*s[54])/11 + (1829*s[55])/22 + (339*s[56])/22 + (1454*s[57])/33 + 
       (1579*s[58])/198 - (2461*s[59])/198 - (19385*s[60])/132 + 
       (15427*s[61])/1782) + H1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      ((-18*s[5])/11 - (21*s[6])/22 - (723*s[7])/44 + (49*s[8])/33 + 
       (85*s[9])/6 + (16*s[10])/3 + (164*s[11])/11 + (293*s[12])/22 + 
       (153*s[13])/22 + (92*s[14])/11 + (113*s[15])/4 + (1259*s[16])/44 + 
       (338*s[17])/11 + (35*s[18])/18 + (61*s[19])/18 + (7327*s[20])/198 + 
       (1172*s[21])/99 - (1631*s[22])/198 - (141*s[23])/44 - 
       (8131*s[24])/396 + (16223*s[25])/891 - (17983*s[26])/1782 - 
       (9*s[43])/11 + (9*s[44])/22 - (36*s[45])/11 + (171*s[46])/11 - 
       (17*s[47])/22 + (5*s[48])/22 + (73*s[49])/22 - (150*s[50])/11 + 
       (9*s[51])/22 - (9*s[52])/22 + (281*s[53])/22 - (12*s[54])/11 + 
       (1829*s[55])/22 + (339*s[56])/22 + (1454*s[57])/33 + 
       (1579*s[58])/198 - (2461*s[59])/198 - (19385*s[60])/132 + 
       (15427*s[61])/1782) + H1[u, v, w]*HPL[{1}, 1 - w]^2*
      ((-27*s[5])/11 - (63*s[6])/44 - (1993*s[7])/88 + (59*s[8])/66 + 
       (239*s[9])/12 + (28*s[10])/3 + (224*s[11])/11 + (703*s[12])/44 + 
       (283*s[13])/44 + (116*s[14])/11 + (361*s[15])/8 + (3777*s[16])/88 + 
       (529*s[17])/11 + (121*s[18])/36 + (215*s[19])/36 + (21893*s[20])/396 + 
       (2165*s[21])/99 - (4453*s[22])/396 - (819*s[23])/88 - 
       (22193*s[24])/792 + (20039*s[25])/891 - (58547*s[26])/3564 - 
       (27*s[43])/22 + (27*s[44])/44 - (54*s[45])/11 + (513*s[46])/22 + 
       (37*s[47])/44 + (15*s[48])/44 + (219*s[49])/44 - (225*s[50])/11 + 
       (5*s[51])/44 + (39*s[52])/44 + (843*s[53])/44 - (18*s[54])/11 + 
       (2771*s[55])/22 + (1017*s[56])/44 + (2126*s[57])/33 + 
       (5177*s[58])/396 - (9407*s[59])/396 - (18417*s[60])/88 + 
       (43883*s[61])/3564) + H1[v, w, u]*HPL[{1}, 1 - v]^2*
      ((-27*s[5])/11 - (63*s[6])/44 - (2037*s[7])/88 + (27*s[8])/22 + 
       (81*s[9])/4 + 9*s[10] + (459*s[11])/22 + (747*s[12])/44 + 
       (327*s[13])/44 + (243*s[14])/22 + (351*s[15])/8 + (3777*s[16])/88 + 
       (1047*s[17])/22 + (13*s[18])/4 + (23*s[19])/4 + (2435*s[20])/44 + 
       (232*s[21])/11 - (755*s[22])/66 - (687*s[23])/88 - (2417*s[24])/88 + 
       (28057*s[25])/1188 - (4834*s[26])/297 - (27*s[43])/22 + 
       (27*s[44])/44 - (54*s[45])/11 + (513*s[46])/22 + (37*s[47])/44 + 
       (15*s[48])/44 + (219*s[49])/44 - (225*s[50])/11 + (5*s[51])/44 + 
       (39*s[52])/44 + (843*s[53])/44 - (18*s[54])/11 + (2771*s[55])/22 + 
       (1017*s[56])/44 + (2126*s[57])/33 + (5177*s[58])/396 - 
       (9407*s[59])/396 - (18417*s[60])/88 + (43883*s[61])/3564) + 
     A10[w, u, v]*HPL[{1}, 1 - v]*(-6*s[5] - 8*s[6] - 64*s[7] + (8*s[8])/3 + 
       (176*s[9])/3 + (64*s[10])/3 + 64*s[11] + 58*s[12] + 32*s[13] + 
       28*s[14] + 96*s[15] + 108*s[16] + 104*s[17] + (184*s[18])/9 + 
       (8*s[19])/9 + (1312*s[20])/9 + (616*s[21])/9 - (308*s[22])/9 - 
       76*s[23] - (374*s[24])/9 + (5485*s[25])/81 - (4387*s[26])/81 + 
       2*s[38] + 8*s[39] - 8*s[40] + 8*s[41] - 16*s[42] + 6*s[44] - 8*s[45] + 
       64*s[46] - 8*s[47] + 16*s[48] + 10*s[49] - 56*s[50] + 2*s[52] + 
       40*s[53] + (728*s[55])/3 + 70*s[56] - 126*s[57] + (398*s[58])/3 - 
       (374*s[59])/3 - (1253*s[60])/3 + (367*s[61])/9) + 
     A10[v, w, u]*HPL[{1}, 1 - w]*(-8*s[4] - 58*s[7] + (40*s[8])/3 + 
       (136*s[9])/3 + (32*s[10])/3 + 60*s[11] + 72*s[12] + 32*s[13] - 
       20*s[14] + 80*s[15] + 98*s[16] + 64*s[17] + (140*s[18])/9 + 
       (28*s[19])/9 + (920*s[20])/9 + (320*s[21])/9 - (268*s[22])/9 - 
       158*s[23] - (340*s[24])/9 + (6656*s[25])/81 - (3380*s[26])/81 + 
       2*s[38] + 8*s[39] - 8*s[40] + 8*s[41] - 16*s[42] + 6*s[44] - 8*s[45] + 
       64*s[46] - 8*s[47] + 16*s[48] + 10*s[49] - 56*s[50] + 2*s[52] + 
       40*s[53] + (728*s[55])/3 + 70*s[56] - 126*s[57] + (398*s[58])/3 - 
       (374*s[59])/3 - (1253*s[60])/3 + (367*s[61])/9) + 
     HPL[{0, 0, 0, 1}, 1 - w]*Phi6[u, v, w]*(-37*s[3] - (457*s[4])/4 - 
       (1359*s[5])/22 - (7377*s[6])/44 - (1154177*s[7])/792 + 
       (5341*s[8])/44 + (7105*s[9])/6 + (721*s[10])/2 + (435827*s[11])/264 + 
       (81043*s[12])/44 + (908077*s[13])/792 + (9377*s[14])/264 + 
       (138203*s[15])/72 + (242633*s[16])/99 + (1434815*s[17])/792 + 
       (6113*s[18])/27 + (32761*s[19])/108 + (3261061*s[20])/1188 + 
       (2288431*s[21])/2376 - (197491*s[22])/264 - (703777*s[23])/396 - 
       (670729*s[24])/396 + (23306675*s[25])/10692 - (12071453*s[26])/10692 - 
       3*s[30] + 3*s[35] + (47*s[36])/6 - 19*s[37] - 85*s[38] + 
       (1819*s[39])/8 - (5309*s[40])/24 + (1143*s[41])/8 - (6901*s[42])/24 - 
       (49399*s[43])/264 + (83741*s[44])/528 - (7563*s[45])/44 + 
       (342007*s[46])/264 - (174973*s[47])/1584 + (62165*s[48])/1584 + 
       (1251007*s[49])/1584 - (57925*s[50])/66 - (289427*s[51])/1584 - 
       (315023*s[52])/1584 + (467399*s[53])/792 - (1961*s[54])/66 + 
       (1949225*s[55])/528 + (1570981*s[56])/1584 - (2707801*s[57])/1188 + 
       (33560567*s[58])/14256 - (33042473*s[59])/14256 - 
       (97299805*s[60])/9504 + (59976701*s[61])/128304 - 4*s[68] + 4*s[69] + 
       8*s[76] - 4*s[77] - 5*s[78] + 20*s[79] - 20*s[80]) + 
     HPL[{0, 0, 0, 1}, 1 - v]*Phi6[u, v, w]*(-9*s[2] + (81*s[3])/4 - 
       (157*s[4])/8 - (2667*s[5])/44 - (5163*s[6])/88 - (413273*s[7])/528 + 
       (132509*s[8])/2376 + (39967*s[9])/54 + (8275*s[10])/108 + 
       (1520201*s[11])/1584 + (935243*s[12])/792 + (1227749*s[13])/1584 - 
       (141409*s[14])/1584 + (104725*s[15])/144 + (859351*s[16])/792 + 
       (713903*s[17])/1584 + (59233*s[18])/324 + (3679*s[19])/648 + 
       (9786565*s[20])/7128 + (7608353*s[21])/14256 - (6396229*s[22])/14256 - 
       (528073*s[23])/396 - (2479063*s[24])/3564 + (40442573*s[25])/32076 - 
       (10490509*s[26])/16038 - 8*s[31] + (3*s[33])/2 + 13*s[34] + 3*s[35] + 
       (47*s[36])/6 - 19*s[37] - 85*s[38] + (1819*s[39])/8 - 
       (5309*s[40])/24 + (1143*s[41])/8 - (6901*s[42])/24 - 
       (49399*s[43])/264 + (83741*s[44])/528 - (7563*s[45])/44 + 
       (342007*s[46])/264 - (174973*s[47])/1584 + (62165*s[48])/1584 + 
       (1251007*s[49])/1584 - (57925*s[50])/66 - (289427*s[51])/1584 - 
       (315023*s[52])/1584 + (467399*s[53])/792 - (1961*s[54])/66 + 
       (1949225*s[55])/528 + (1570981*s[56])/1584 - (2707801*s[57])/1188 + 
       (33560567*s[58])/14256 - (33042473*s[59])/14256 - 
       (97299805*s[60])/9504 + (59976701*s[61])/128304 - 4*s[68] + 4*s[69] + 
       8*s[76] - 4*s[77] - 5*s[78] + 20*s[79] - 20*s[80]) + 
     G[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*((3*s[2])/2 - (3*s[3])/4 + 
       (141*s[4])/8 + (199*s[5])/22 + (2415*s[6])/88 + (111583*s[7])/528 - 
       (112969*s[8])/2376 - (17899*s[9])/108 - (2081*s[10])/108 - 
       (393103*s[11])/1584 - (120899*s[12])/396 - (272545*s[13])/1584 + 
       (72221*s[14])/1584 - (34271*s[15])/144 - (67883*s[16])/198 - 
       (340405*s[17])/1584 - (12359*s[18])/324 - (11663*s[19])/648 - 
       (2431661*s[20])/7128 - (1739113*s[21])/14256 + (1514849*s[22])/14256 + 
       (185597*s[23])/396 + (663779*s[24])/3564 - (5484533*s[25])/16038 + 
       (2746265*s[26])/16038 - 2*s[29] - s[31] - s[33] - 2*s[35] - s[36] + 
       (13*s[37])/3 + 9*s[38] - (267*s[39])/4 + (207*s[40])/4 - 
       (141*s[41])/4 + (417*s[42])/4 + (1189*s[43])/44 - (2905*s[44])/88 + 
       (322*s[45])/33 - (33013*s[46])/132 + (5761*s[47])/88 - 
       (7945*s[48])/88 - (12883*s[49])/88 + (1766*s[50])/11 + 
       (5235*s[51])/88 + (3917*s[52])/88 - (26539*s[53])/198 + 
       (1772*s[54])/33 - (164297*s[55])/264 - (165713*s[56])/792 + 
       (231874*s[57])/297 - (3784567*s[58])/7128 + (3685261*s[59])/7128 + 
       (2491435*s[60])/1584 - (6996511*s[61])/64152 - s[65] - 2*s[66] + 
       4*s[67] + 4*s[68] + 6*s[69] + s[71] + 4*s[72] - 4*s[73] + 2*s[76] + 
       4*s[78] - 10*s[79] - (4*s[80])/3) + A11[u, v, w]*HPL[{1}, 1 - w]*
      ((3*s[2])/2 - 9*s[3] - (389*s[4])/4 - (254*s[5])/11 - (4703*s[6])/44 - 
       (65491*s[7])/66 + (50519*s[8])/396 + (7144*s[9])/9 + (1775*s[10])/9 + 
       (298535*s[11])/264 + (87277*s[12])/66 + (212149*s[13])/264 - 
       (21859*s[14])/264 + (3679*s[15])/3 + (432067*s[16])/264 + 
       (96619*s[17])/88 + (4460*s[18])/27 + (17257*s[19])/108 + 
       (2091049*s[20])/1188 + (1358255*s[21])/2376 - (1212895*s[22])/2376 - 
       (426935*s[23])/264 - (2442877*s[24])/2376 + (16508905*s[25])/10692 - 
       (4018967*s[26])/5346 + 2*s[29] - s[30] + s[31] + s[33] + s[35] + 
       6*s[36] - (31*s[37])/6 - (95*s[38])/2 + 201*s[39] - 213*s[40] + 
       (651*s[41])/4 - (1171*s[42])/4 - 153*s[43] + (1363*s[44])/8 - 
       (445*s[45])/3 + (7841*s[46])/6 - (737*s[47])/8 + (243*s[48])/8 + 
       (5775*s[49])/8 - (3925*s[50])/4 - (4673*s[51])/24 - (1269*s[52])/8 + 
       (24821*s[53])/36 - (323*s[54])/12 + (33721*s[55])/8 + 
       (79721*s[56])/72 - (46210*s[57])/27 + (1403245*s[58])/648 - 
       (1429003*s[59])/648 - (1480891*s[60])/144 + (792715*s[61])/1458 + 
       s[65]/2 + 2*s[66] - 2*s[67] - 2*s[68] - 4*s[69] - s[71]/2 - 2*s[72] + 
       2*s[73] + (3*s[74])/2 - (3*s[75])/2 + s[77] - 6*s[78] - 4*s[79] + 
       (5*s[80])/3) + A11[u, v, w]*HPL[{1}, 1 - v]*((-7*s[2])/2 - s[3] - 
       (127*s[4])/2 - (890*s[5])/11 - (3407*s[6])/22 - (349471*s[7])/264 + 
       (114335*s[8])/1188 + (122377*s[9])/108 + (18853*s[10])/54 + 
       (573619*s[11])/396 + (615047*s[12])/396 + (183959*s[13])/198 + 
       (22207*s[14])/99 + (128605*s[15])/72 + (1779641*s[16])/792 + 
       (177877*s[17])/99 + (43549*s[18])/162 + (55423*s[19])/324 + 
       (9550309*s[20])/3564 + (3706471*s[21])/3564 - (2485469*s[22])/3564 - 
       (1199431*s[23])/792 - (10026091*s[24])/7128 + (115135457*s[25])/
        64152 - (67025039*s[26])/64152 - 2*s[31] + s[32]/2 - (5*s[33])/4 + 
       4*s[34] + s[35] + 6*s[36] - (31*s[37])/6 - (95*s[38])/2 + 201*s[39] - 
       213*s[40] + (651*s[41])/4 - (1171*s[42])/4 - 153*s[43] + 
       (1363*s[44])/8 - (445*s[45])/3 + (7841*s[46])/6 - (737*s[47])/8 + 
       (243*s[48])/8 + (5775*s[49])/8 - (3925*s[50])/4 - (4673*s[51])/24 - 
       (1269*s[52])/8 + (24821*s[53])/36 - (323*s[54])/12 + (33721*s[55])/8 + 
       (79721*s[56])/72 - (46210*s[57])/27 + (1403245*s[58])/648 - 
       (1429003*s[59])/648 - (1480891*s[60])/144 + (792715*s[61])/1458 + 
       s[65]/2 + 2*s[66] - 2*s[67] - 2*s[68] - 4*s[69] - s[71]/2 - 2*s[72] + 
       2*s[73] + (3*s[74])/2 - (3*s[75])/2 + s[77] - 6*s[78] - 4*s[79] + 
       (5*s[80])/3) + F1[w, u, v]*HPL[{0, 0, 1}, 1 - w]*
      (34*s[3] + (457*s[4])/4 + (718*s[5])/11 + (7707*s[6])/44 + 
       (1196417*s[7])/792 - (16397*s[8])/132 - 1229*s[9] - (1133*s[10])/3 - 
       (449951*s[11])/264 - (83397*s[12])/44 - (931573*s[13])/792 - 
       (16241*s[14])/264 - (143639*s[15])/72 - (251312*s[16])/99 - 
       (1497647*s[17])/792 - (13315*s[18])/54 - (32437*s[19])/108 - 
       (3409165*s[20])/1188 - (2429275*s[21])/2376 + (612493*s[22])/792 + 
       (729253*s[23])/396 + (76393*s[24])/44 - (5980226*s[25])/2673 + 
       (6304231*s[26])/5346 + s[30] - 3*s[35] - (41*s[36])/6 + 11*s[37] + 
       79*s[38] - (1853*s[39])/8 + (5675*s[40])/24 - (1329*s[41])/8 + 
       (7195*s[42])/24 + (56545*s[43])/264 - (100787*s[44])/528 + 
       (9555*s[45])/44 - (422077*s[46])/264 + (128875*s[47])/1584 + 
       (33901*s[48])/1584 - (1480201*s[49])/1584 + (76381*s[50])/66 + 
       (303365*s[51])/1584 + (293297*s[52])/1584 - (635717*s[53])/792 - 
       (409*s[54])/66 - (2695295*s[55])/528 - (2040691*s[56])/1584 + 
       (2086405*s[57])/1188 - (37036889*s[58])/14256 + 
       (37747727*s[59])/14256 + (124701043*s[60])/9504 - 
       (81913679*s[61])/128304 + 2*s[68] - 2*s[69] - 4*s[76] + 2*s[77] + 
       3*s[78] - 16*s[79] + 14*s[80]) + F1[v, w, u]*HPL[{0, 0, 1}, 1 - v]*
      (5*s[2] - (27*s[3])/4 + (375*s[4])/8 + (3757*s[5])/44 + 
       (11425*s[6])/88 + (231329*s[7])/176 - (213815*s[8])/2376 - 
       (31346*s[9])/27 - (33241*s[10])/108 - (2357651*s[11])/1584 - 
       (1319669*s[12])/792 - (1622351*s[13])/1584 - (225053*s[14])/1584 - 
       (237703*s[15])/144 - (1692385*s[16])/792 - (2401253*s[17])/1584 - 
       (82435*s[18])/324 - (107557*s[19])/648 - (18587143*s[20])/7128 - 
       (14168435*s[21])/14256 + (10098271*s[22])/14256 + (600571*s[23])/396 + 
       (5104777*s[24])/3564 - (60286979*s[25])/32076 + 
       (16906465*s[26])/16038 + 4*s[31] - 3*s[33] - 5*s[34] - 3*s[35] - 
       (41*s[36])/6 + 11*s[37] + 79*s[38] - (1853*s[39])/8 + 
       (5675*s[40])/24 - (1329*s[41])/8 + (7195*s[42])/24 + 
       (56545*s[43])/264 - (100787*s[44])/528 + (9555*s[45])/44 - 
       (422077*s[46])/264 + (128875*s[47])/1584 + (33901*s[48])/1584 - 
       (1480201*s[49])/1584 + (76381*s[50])/66 + (303365*s[51])/1584 + 
       (293297*s[52])/1584 - (635717*s[53])/792 - (409*s[54])/66 - 
       (2695295*s[55])/528 - (2040691*s[56])/1584 + (2086405*s[57])/1188 - 
       (37036889*s[58])/14256 + (37747727*s[59])/14256 + 
       (124701043*s[60])/9504 - (81913679*s[61])/128304 + 2*s[68] - 2*s[69] - 
       4*s[76] + 2*s[77] + 3*s[78] - 16*s[79] + 14*s[80]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      ((3*s[2])/2 - 14*s[3] - (199*s[4])/2 - (2657*s[5])/88 - 
       (8941*s[6])/88 - (871547*s[7])/792 + (315649*s[8])/2376 + 
       (189959*s[9])/216 + (54643*s[10])/216 + (985421*s[11])/792 + 
       (1132213*s[12])/792 + (28250*s[13])/33 - (30695*s[14])/396 + 
       (8519*s[15])/6 + (162981*s[16])/88 + (515285*s[17])/396 + 
       (109105*s[18])/648 + (69937*s[19])/324 + (7124599*s[20])/3564 + 
       (4597391*s[21])/7128 - (2017493*s[22])/3564 - (433295*s[23])/264 - 
       (8626801*s[24])/7128 + (216682201*s[25])/128304 - 
       (105152041*s[26])/128304 + 2*s[29] - s[30] + s[33]/4 + s[35] + 
       (53*s[36])/6 - 3*s[37] - 41*s[38] + (1419*s[39])/8 - (4445*s[40])/24 + 
       (1103*s[41])/8 - (6109*s[42])/24 - (35815*s[43])/264 + 
       (82763*s[44])/528 - (5921*s[45])/44 + (313327*s[46])/264 - 
       (118897*s[47])/1584 + (26369*s[48])/1584 + (1079875*s[49])/1584 - 
       (119327*s[50])/132 - (246623*s[51])/1584 - (202925*s[52])/1584 + 
       (504239*s[53])/792 + (2413*s[54])/66 + (2056369*s[55])/528 + 
       (1534585*s[56])/1584 - (800747*s[57])/594 + (27018143*s[58])/14256 - 
       (27962045*s[59])/14256 - (90114001*s[60])/9504 + 
       (63105209*s[61])/128304 + s[65]/2 + s[66] - 2*s[67] - 2*s[68] - 
       3*s[69] - s[71] - 2*s[72] + 2*s[73] + (3*s[74])/2 - (3*s[75])/2 + 
       s[76] + s[77] - 4*s[78] + 4*s[79] - 22*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*
      ((-7*s[2])/2 - (7*s[3])/4 - (291*s[4])/8 - (575*s[5])/8 - 
       (493*s[6])/4 - (47947*s[7])/48 + (7117*s[8])/108 + (184865*s[9])/216 + 
       (60025*s[10])/216 + (157901*s[11])/144 + (83585*s[12])/72 + 
       (99497*s[13])/144 + (30755*s[14])/144 + (195827*s[15])/144 + 
       (31207*s[16])/18 + (204485*s[17])/144 + (136021*s[18])/648 + 
       (85121*s[19])/648 + (1338955*s[20])/648 + (1073663*s[21])/1296 - 
       (682549*s[22])/1296 - (9385*s[23])/9 - (175379*s[24])/162 + 
       (15513725*s[25])/11664 - (9320537*s[26])/11664 - s[30] - 2*s[31] + 
       s[32] + s[33]/4 + 3*s[34] + s[35] + (53*s[36])/6 - 3*s[37] - 
       41*s[38] + (1419*s[39])/8 - (4445*s[40])/24 + (1103*s[41])/8 - 
       (6109*s[42])/24 - (35815*s[43])/264 + (82763*s[44])/528 - 
       (5921*s[45])/44 + (313327*s[46])/264 - (118897*s[47])/1584 + 
       (26369*s[48])/1584 + (1079875*s[49])/1584 - (119327*s[50])/132 - 
       (246623*s[51])/1584 - (202925*s[52])/1584 + (504239*s[53])/792 + 
       (2413*s[54])/66 + (2056369*s[55])/528 + (1534585*s[56])/1584 - 
       (800747*s[57])/594 + (27018143*s[58])/14256 - (27962045*s[59])/14256 - 
       (90114001*s[60])/9504 + (63105209*s[61])/128304 + s[65]/2 + s[66] - 
       2*s[67] - 2*s[68] - 3*s[69] - s[71] - 2*s[72] + 2*s[73] + 
       (3*s[74])/2 - (3*s[75])/2 + s[76] + s[77] - 4*s[78] + 4*s[79] - 
       22*s[82]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      Phi6[u, v, w]*(3*s[3] - (57*s[4])/4 - (273*s[5])/44 - (833*s[6])/44 - 
       (140983*s[7])/792 + (23425*s[8])/1188 + (8329*s[9])/54 + 
       (3169*s[10])/108 + (41443*s[11])/198 + (203339*s[12])/792 + 
       (39263*s[13])/264 + (13027*s[14])/792 + (4505*s[15])/24 + 
       (3284*s[16])/11 + (68665*s[17])/396 + (12127*s[18])/324 + 
       (2807*s[19])/324 + (1262651*s[20])/3564 + (752113*s[21])/7128 - 
       (718451*s[22])/7128 - (82735*s[23])/264 - (1235585*s[24])/7128 + 
       (4469719*s[25])/16038 - (4184621*s[26])/32076 - (7*s[36])/3 - 
       (31*s[37])/4 - s[38]/2 + (69*s[39])/2 - (271*s[40])/6 + 
       (127*s[41])/4 - (703*s[42])/12 - (1457*s[43])/66 + (10493*s[44])/264 - 
       (331*s[45])/88 + (42059*s[46])/264 - (17191*s[47])/792 - 
       (3991*s[48])/792 + (86773*s[49])/792 - (6929*s[50])/66 - 
       (33377*s[51])/792 - (16541*s[52])/792 + (52897*s[53])/792 - 
       (6749*s[54])/132 + (30927*s[55])/88 + (127069*s[56])/792 - 
       (151538*s[57])/297 + (1152403*s[58])/3564 - (2079419*s[59])/7128 - 
       (2797349*s[60])/2376 + (7565221*s[61])/128304 - s[71]/2 - 16*s[79] + 
       (23*s[80])/2 - 20*s[82]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*((-35*s[4])/2 + (391*s[5])/88 - 
       (2323*s[6])/88 - (5857*s[7])/66 + (58439*s[8])/2376 + 
       (12403*s[9])/216 - (1387*s[10])/216 + (23461*s[11])/198 + 
       (63715*s[12])/396 + (23539*s[13])/198 - (6713*s[14])/198 + 
       (4883*s[15])/72 + (49439*s[16])/396 + (34351*s[17])/792 + 
       (3329*s[18])/648 + (1489*s[19])/162 + (79514*s[20])/891 + 
       (68479*s[21])/7128 - (157273*s[22])/3564 - (186017*s[23])/792 - 
       (639467*s[24])/7128 + (24248159*s[25])/128304 - 
       (8789435*s[26])/128304 + (3*s[33])/4 - s[34] - (7*s[36])/3 - 
       (31*s[37])/4 - s[38]/2 + (69*s[39])/2 - (271*s[40])/6 + 
       (127*s[41])/4 - (703*s[42])/12 - (1457*s[43])/66 + (10493*s[44])/264 - 
       (331*s[45])/88 + (42059*s[46])/264 - (17191*s[47])/792 - 
       (3991*s[48])/792 + (86773*s[49])/792 - (6929*s[50])/66 - 
       (33377*s[51])/792 - (16541*s[52])/792 + (52897*s[53])/792 - 
       (6749*s[54])/132 + (30927*s[55])/88 + (127069*s[56])/792 - 
       (151538*s[57])/297 + (1152403*s[58])/3564 - (2079419*s[59])/7128 - 
       (2797349*s[60])/2376 + (7565221*s[61])/128304 - s[71]/2 - 16*s[79] + 
       (23*s[80])/2 - 20*s[82]) + H1[w, u, v]*HPL[{0, 1}, 1 - w]*
      (-2*s[3] - (227*s[4])/8 - (827*s[5])/88 - (1305*s[6])/44 - 
       (546979*s[7])/1584 + (36011*s[8])/1188 + (61895*s[9])/216 + 
       (19303*s[10])/216 + (628351*s[11])/1584 + (44624*s[12])/99 + 
       (152555*s[13])/528 - (24929*s[14])/1584 + (21025*s[15])/48 + 
       (50961*s[16])/88 + (635123*s[17])/1584 + (26497*s[18])/648 + 
       (53039*s[19])/648 + (4493627*s[20])/7128 + (3021019*s[21])/14256 - 
       (2611865*s[22])/14256 - (50599*s[23])/132 - (747787*s[24])/1782 + 
       (68097685*s[25])/128304 - (33601225*s[26])/128304 + s[30]/2 - 
       (3*s[35])/2 + (5*s[36])/6 - (25*s[37])/12 - 19*s[38] + (235*s[39])/4 - 
       (763*s[40])/12 + (197*s[41])/4 - (469*s[42])/6 - (7025*s[43])/132 + 
       (14329*s[44])/264 - (6529*s[45])/132 + (8703*s[46])/22 - 
       (13049*s[47])/792 - (9419*s[48])/792 + (203531*s[49])/792 - 
       (41627*s[50])/132 - (39733*s[51])/792 - (34165*s[52])/792 + 
       (6596*s[53])/33 + (1085*s[54])/22 + (339631*s[55])/264 + 
       (228403*s[56])/792 - (259297*s[57])/594 + (4552529*s[58])/7128 - 
       (4681769*s[59])/7128 - (16363145*s[60])/4752 + (4515823*s[61])/32076 + 
       s[68]/2 - s[69]/2 + s[76] + s[77]/2 + s[78] - 2*s[79] - (8*s[80])/3 - 
       (21*s[82])/2) + H1[w, u, v]*HPL[{0, 1}, 1 - v]*
      ((-3*s[2])/2 - (179*s[4])/8 - (1355*s[5])/88 - (559*s[6])/22 - 
       (62599*s[7])/176 + (9239*s[8])/396 + (22325*s[9])/72 + 
       (6979*s[10])/72 + (210565*s[11])/528 + (58703*s[12])/132 + 
       (141247*s[13])/528 + (15157*s[14])/528 + (7503*s[15])/16 + 
       (159395*s[16])/264 + (230569*s[17])/528 + (13369*s[18])/216 + 
       (13049*s[19])/216 + (1710689*s[20])/2376 + (1235689*s[21])/4752 - 
       (920723*s[22])/4752 - (50357*s[23])/132 - (242083*s[24])/594 + 
       (21687331*s[25])/42768 - (11760763*s[26])/42768 - s[31] - 
       (9*s[33])/4 + s[34] - (3*s[35])/2 + (5*s[36])/6 - (25*s[37])/12 - 
       19*s[38] + (235*s[39])/4 - (763*s[40])/12 + (197*s[41])/4 - 
       (469*s[42])/6 - (7025*s[43])/132 + (14329*s[44])/264 - 
       (6529*s[45])/132 + (8703*s[46])/22 - (13049*s[47])/792 - 
       (9419*s[48])/792 + (203531*s[49])/792 - (41627*s[50])/132 - 
       (39733*s[51])/792 - (34165*s[52])/792 + (6596*s[53])/33 + 
       (1085*s[54])/22 + (339631*s[55])/264 + (228403*s[56])/792 - 
       (259297*s[57])/594 + (4552529*s[58])/7128 - (4681769*s[59])/7128 - 
       (16363145*s[60])/4752 + (4515823*s[61])/32076 + s[68]/2 - s[69]/2 + 
       s[76] + s[77]/2 + s[78] - 2*s[79] - (8*s[80])/3 - (21*s[82])/2) + 
     H1[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*(s[4] + (30*s[5])/11 + 
       (123*s[6])/22 + (4451*s[7])/132 - (167*s[8])/66 - (86*s[9])/3 - 
       (53*s[10])/6 - (365*s[11])/11 - (334*s[12])/11 - (2245*s[13])/132 - 
       (168*s[14])/11 - (665*s[15])/12 - (1846*s[16])/33 - (7475*s[17])/132 - 
       (47*s[18])/9 - (83*s[19])/18 - (29179*s[20])/396 - (1223*s[21])/44 + 
       (3305*s[22])/198 + (1183*s[23])/66 + (3607*s[24])/99 - 
       (11753*s[25])/297 + (30029*s[26])/1188 - 2*s[39] + 2*s[40] - 2*s[41] + 
       3*s[42] + (59*s[43])/11 - (13*s[44])/11 + (60*s[45])/11 - 
       (395*s[46])/11 + (41*s[47])/66 - (157*s[48])/66 - (629*s[49])/66 + 
       (272*s[50])/11 + (241*s[51])/66 + (83*s[52])/33 - (818*s[53])/33 + 
       (196*s[54])/11 - (10069*s[55])/66 - (829*s[56])/22 - (2108*s[57])/33 - 
       (6203*s[58])/198 + (7739*s[59])/198 + (114635*s[60])/396 - 
       (5326*s[61])/297 - 8*s[82]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*Phi6[u, v, w]*((19*s[3])/4 + (143*s[4])/8 + 
       (1977*s[5])/88 + (1667*s[6])/44 + (61823*s[7])/176 - 
       (11425*s[8])/396 - (21487*s[9])/72 - (6791*s[10])/72 - 
       (195515*s[11])/528 - (101927*s[12])/264 - (116771*s[13])/528 - 
       (35141*s[14])/528 - (8123*s[15])/16 - (156847*s[16])/264 - 
       (266159*s[17])/528 - (15197*s[18])/216 - (11305*s[19])/216 - 
       (1718527*s[20])/2376 - (1314065*s[21])/4752 + (850315*s[22])/4752 + 
       (99575*s[23])/264 + (899555*s[24])/2376 - (19724135*s[25])/42768 + 
       (11694299*s[26])/42768 + s[30] - (3*s[33])/4 + s[34] - s[36] + 
       (3*s[37])/2 + 10*s[38] - (163*s[39])/4 + (175*s[40])/4 - 
       (143*s[41])/4 + (235*s[42])/4 + (1641*s[43])/44 - (2763*s[44])/88 + 
       (2549*s[45])/44 - (8445*s[46])/22 + (1523*s[47])/88 - 
       (1095*s[48])/88 - (13545*s[49])/88 + (3202*s[50])/11 + 
       (10939*s[51])/264 + (3115*s[52])/88 - (14675*s[53])/66 + 
       (503*s[54])/11 - (375355*s[55])/264 - (94309*s[56])/264 + 
       (10523*s[57])/99 - (1297553*s[58])/2376 + (1372721*s[59])/2376 + 
       (1623025*s[60])/528 - (985313*s[61])/5346 - s[80] - 6*s[82]) + 
     H1[v, w, u]*HPL[{0, 1}, 1 - w]*((25*s[3])/2 + (387*s[4])/8 + 
       (2401*s[5])/88 + (1735*s[6])/22 + (993119*s[7])/1584 - 
       (32885*s[8])/594 - (110329*s[9])/216 - (31169*s[10])/216 - 
       (1113923*s[11])/1584 - (78145*s[12])/99 - (255799*s[13])/528 - 
       (56123*s[14])/1584 - (38681*s[15])/48 - (91297*s[16])/88 - 
       (1199563*s[17])/1584 - (78839*s[18])/648 - (59947*s[19])/648 - 
       (8494363*s[20])/7128 - (6164363*s[21])/14256 + (4558597*s[22])/14256 + 
       (55915*s[23])/66 + (2419471*s[24])/3564 - (118020479*s[25])/128304 + 
       (63656051*s[26])/128304 + s[30]/2 - (3*s[35])/2 - (13*s[36])/6 + 
       (41*s[37])/12 + 29*s[38] - 100*s[39] + (637*s[40])/6 - (157*s[41])/2 + 
       (1627*s[42])/12 + (6047*s[43])/66 - (5603*s[44])/66 + 
       (6115*s[45])/66 - (7762*s[46])/11 + (15053*s[47])/396 + 
       (3107*s[48])/396 - (153839*s[49])/396 + (67429*s[50])/132 + 
       (18611*s[51])/198 + (32485*s[52])/396 - (23561*s[53])/66 + 
       (919*s[54])/22 - (148351*s[55])/66 - (121133*s[56])/198 + 
       (487181*s[57])/594 - (4125269*s[58])/3564 + (4147157*s[59])/3564 + 
       (3398969*s[60])/594 - (9691721*s[61])/32076 + s[68]/2 - s[69]/2 - 
       3*s[76] + s[77]/2 + s[78] - 2*s[79] + (13*s[80])/3 - (9*s[82])/2) + 
     H1[u, v, w]*HPL[{0, 1}, 1 - v]*((9*s[2])/2 + (229*s[4])/8 + 
       (2907*s[5])/88 + (3173*s[6])/44 + (111141*s[7])/176 - (4555*s[8])/99 - 
       (39217*s[9])/72 - (10931*s[10])/72 - (372371*s[11])/528 - 
       (25876*s[12])/33 - (255029*s[13])/528 - (43487*s[14])/528 - 
       (38779*s[15])/48 - (274573*s[16])/264 - (403499*s[17])/528 - 
       (24953*s[18])/216 - (17803*s[19])/216 - (2970751*s[20])/2376 - 
       (2187191*s[21])/4752 + (1595425*s[22])/4752 + (92173*s[23])/132 + 
       (414269*s[24])/594 - (38459903*s[25])/42768 + (21208703*s[26])/42768 + 
       3*s[31] + (9*s[33])/4 - 3*s[34] - (3*s[35])/2 - (13*s[36])/6 + 
       (41*s[37])/12 + 29*s[38] - 100*s[39] + (637*s[40])/6 - (157*s[41])/2 + 
       (1627*s[42])/12 + (6047*s[43])/66 - (5603*s[44])/66 + 
       (6115*s[45])/66 - (7762*s[46])/11 + (15053*s[47])/396 + 
       (3107*s[48])/396 - (153839*s[49])/396 + (67429*s[50])/132 + 
       (18611*s[51])/198 + (32485*s[52])/396 - (23561*s[53])/66 + 
       (919*s[54])/22 - (148351*s[55])/66 - (121133*s[56])/198 + 
       (487181*s[57])/594 - (4125269*s[58])/3564 + (4147157*s[59])/3564 + 
       (3398969*s[60])/594 - (9691721*s[61])/32076 + s[68]/2 - s[69]/2 - 
       3*s[76] + s[77]/2 + s[78] - 2*s[79] + (13*s[80])/3 - (9*s[82])/2) + 
     HPL[{0, 1}, 1 - w]*J1[w, u, v]*((-27*s[3])/4 - (969*s[4])/32 - 
       (5821*s[5])/352 - (8565*s[6])/176 - (2554721*s[7])/6336 + 
       (162511*s[8])/4752 + (285721*s[9])/864 + (84521*s[10])/864 + 
       (2898245*s[11])/6336 + (101699*s[12])/198 + (226067*s[13])/704 + 
       (121877*s[14])/6336 + (99923*s[15])/192 + (713641*s[16])/1056 + 
       (3110761*s[17])/6336 + (177263*s[18])/2592 + (185893*s[19])/2592 + 
       (21817153*s[20])/28512 + (15708881*s[21])/57024 - 
       (11878243*s[22])/57024 - (87897*s[23])/176 - (1634587*s[24])/3564 + 
       (307745555*s[25])/513216 - (163740047*s[26])/513216 - s[30]/8 + 
       (3*s[35])/8 + (31*s[36])/24 - (107*s[37])/48 - (81*s[38])/4 + 
       (1035*s[39])/16 - (3311*s[40])/48 + (809*s[41])/16 - (259*s[42])/3 - 
       (31357*s[43])/528 + (61409*s[44])/1056 - (31565*s[45])/528 + 
       (40295*s[46])/88 - (65101*s[47])/3168 - (42199*s[48])/3168 + 
       (849319*s[49])/3168 - (179413*s[50])/528 - (173933*s[51])/3168 - 
       (160313*s[52])/3168 + (30521*s[53])/132 + (95*s[54])/88 + 
       (1560455*s[55])/1056 + (1208987*s[56])/3168 - (1199027*s[57])/2376 + 
       (21193285*s[58])/28512 - (21471421*s[59])/28512 - 
       (72425305*s[60])/19008 + (23952185*s[61])/128304 - s[68]/8 + s[69]/8 + 
       (7*s[76])/4 - s[77]/8 - s[78]/4 + s[79]/2 - (17*s[80])/6 - 
       (27*s[82])/8) + HPL[{0, 1}, 1 - v]*J1[w, u, v]*
      ((-21*s[2])/8 - (637*s[4])/32 - (7361*s[5])/352 - (907*s[6])/22 - 
       (868147*s[7])/2112 + (46111*s[8])/1584 + (102199*s[9])/288 + 
       (29993*s[10])/288 + (972491*s[11])/2112 + (270343*s[12])/528 + 
       (659017*s[13])/2112 + (105203*s[14])/2112 + (101987*s[15])/192 + 
       (724685*s[16])/1056 + (353301*s[17])/704 + (65195*s[18])/864 + 
       (50191*s[19])/864 + (7826095*s[20])/9504 + (5740343*s[21])/19008 - 
       (4188757*s[22])/19008 - (240239*s[23])/528 - (1092581*s[24])/2376 + 
       (100025921*s[25])/171072 - (54918713*s[26])/171072 - (7*s[31])/4 - 
       (27*s[33])/16 + (7*s[34])/4 + (3*s[35])/8 + (31*s[36])/24 - 
       (107*s[37])/48 - (81*s[38])/4 + (1035*s[39])/16 - (3311*s[40])/48 + 
       (809*s[41])/16 - (259*s[42])/3 - (31357*s[43])/528 + 
       (61409*s[44])/1056 - (31565*s[45])/528 + (40295*s[46])/88 - 
       (65101*s[47])/3168 - (42199*s[48])/3168 + (849319*s[49])/3168 - 
       (179413*s[50])/528 - (173933*s[51])/3168 - (160313*s[52])/3168 + 
       (30521*s[53])/132 + (95*s[54])/88 + (1560455*s[55])/1056 + 
       (1208987*s[56])/3168 - (1199027*s[57])/2376 + (21193285*s[58])/28512 - 
       (21471421*s[59])/28512 - (72425305*s[60])/19008 + 
       (23952185*s[61])/128304 - s[68]/8 + s[69]/8 + (7*s[76])/4 - s[77]/8 - 
       s[78]/4 + s[79]/2 - (17*s[80])/6 - (27*s[82])/8) + 
     A3[u, v, w]*HPL[{1}, 1 - v]*((-6*s[5])/11 + (13*s[6])/11 - 
       (137*s[7])/22 + (20*s[8])/33 + (16*s[9])/3 + (11*s[10])/3 + 
       (73*s[11])/11 + (149*s[12])/22 + (51*s[13])/22 + (21*s[14])/22 + 
       (23*s[15])/2 + (159*s[16])/11 + (142*s[17])/11 + (2*s[18])/9 + 
       (31*s[19])/9 + (1663*s[20])/99 + (1115*s[21])/198 - (727*s[22])/198 - 
       (73*s[23])/22 - (2017*s[24])/198 + (13547*s[25])/1782 - 
       (6977*s[26])/1782 + (8*s[43])/11 + (18*s[44])/11 - (12*s[45])/11 + 
       (68*s[46])/11 - s[47]/11 - s[48]/11 + (47*s[49])/11 - (94*s[50])/11 - 
       (15*s[51])/11 + (26*s[52])/11 + (56*s[53])/11 + (106*s[54])/11 + 
       (1151*s[55])/33 + (29*s[56])/11 + (272*s[57])/33 + (617*s[58])/99 - 
       (797*s[59])/99 - (5231*s[60])/66 + (2408*s[61])/891 - 3*s[82]) + 
     A3[u, v, w]*HPL[{1}, 1 - w]*((-6*s[5])/11 + (13*s[6])/11 - 
       (137*s[7])/22 + (20*s[8])/33 + (16*s[9])/3 + (11*s[10])/3 + 
       (73*s[11])/11 + (149*s[12])/22 + (51*s[13])/22 + (21*s[14])/22 + 
       (27*s[15])/2 + (159*s[16])/11 + (142*s[17])/11 + (2*s[18])/9 + 
       (31*s[19])/9 + (1663*s[20])/99 + (1115*s[21])/198 - (727*s[22])/198 - 
       (29*s[23])/22 - (2017*s[24])/198 + (13547*s[25])/1782 - 
       (6977*s[26])/1782 + (8*s[43])/11 + (18*s[44])/11 - (12*s[45])/11 + 
       (68*s[46])/11 - s[47]/11 - s[48]/11 + (47*s[49])/11 - (94*s[50])/11 - 
       (15*s[51])/11 + (26*s[52])/11 + (56*s[53])/11 + (106*s[54])/11 + 
       (1151*s[55])/33 + (29*s[56])/11 + (272*s[57])/33 + (617*s[58])/99 - 
       (797*s[59])/99 - (5231*s[60])/66 + (2408*s[61])/891 - 3*s[82]) + 
     F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      ((-25*s[3])/8 + (67*s[4])/16 + (115*s[5])/22 + (1765*s[6])/176 + 
       (93347*s[7])/1056 - (33683*s[8])/4752 - (16847*s[9])/216 - 
       (4753*s[10])/216 - (294881*s[11])/3168 - (38435*s[12])/396 - 
       (187739*s[13])/3168 - (56909*s[14])/3168 - (35035*s[15])/288 - 
       (224425*s[16])/1584 - (367379*s[17])/3168 - (10891*s[18])/648 - 
       (10381*s[19])/1296 - (2520187*s[20])/14256 - (1914119*s[21])/28512 + 
       (1346119*s[22])/28512 + (152153*s[23])/1584 + (1287263*s[24])/14256 - 
       (930460*s[25])/8019 + (4345529*s[26])/64152 - s[30]/2 - s[36]/4 + 
       (5*s[37])/24 + (7*s[38])/2 - (221*s[39])/16 + (249*s[40])/16 - 
       (201*s[41])/16 + (325*s[42])/16 + (2451*s[43])/176 - 
       (3617*s[44])/352 + (5113*s[45])/528 - (25067*s[46])/264 + 
       (4319*s[47])/1056 + (293*s[48])/1056 - (50885*s[49])/1056 + 
       (789*s[50])/11 + (16781*s[51])/1056 + (14635*s[52])/1056 - 
       (42325*s[53])/792 + (2231*s[54])/132 - (340085*s[55])/1056 - 
       (265841*s[56])/3168 + (101245*s[57])/1188 - (4140685*s[58])/28512 + 
       (4340485*s[59])/28512 + (1613615*s[60])/2112 - (574363*s[61])/16038 + 
       s[76]/2 + 4*s[79] - (13*s[80])/12 - 3*s[82]) + 
     F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      ((-3*s[2])/4 + (67*s[4])/8 + (271*s[5])/176 + (1809*s[6])/176 + 
       (5443*s[7])/66 - (45695*s[8])/4752 - (29305*s[9])/432 - 
       (7145*s[10])/432 - (143101*s[11])/1584 - (158723*s[12])/1584 - 
       (50573*s[13])/792 + (233*s[14])/396 - (15929*s[15])/144 - 
       (105431*s[16])/792 - (20051*s[17])/198 - (12743*s[18])/1296 - 
       (1252*s[19])/81 - (1031981*s[20])/7128 - (648295*s[21])/14256 + 
       (302317*s[22])/7128 + (95827*s[23])/792 + (78872*s[24])/891 - 
       (31972355*s[25])/256608 + (15671231*s[26])/256608 - s[31]/2 - 
       (3*s[33])/8 - s[36]/4 + (5*s[37])/24 + (7*s[38])/2 - (221*s[39])/16 + 
       (249*s[40])/16 - (201*s[41])/16 + (325*s[42])/16 + (2451*s[43])/176 - 
       (3617*s[44])/352 + (5113*s[45])/528 - (25067*s[46])/264 + 
       (4319*s[47])/1056 + (293*s[48])/1056 - (50885*s[49])/1056 + 
       (789*s[50])/11 + (16781*s[51])/1056 + (14635*s[52])/1056 - 
       (42325*s[53])/792 + (2231*s[54])/132 - (340085*s[55])/1056 - 
       (265841*s[56])/3168 + (101245*s[57])/1188 - (4140685*s[58])/28512 + 
       (4340485*s[59])/28512 + (1613615*s[60])/2112 - (574363*s[61])/16038 + 
       s[76]/2 + 4*s[79] - (13*s[80])/12 - 3*s[82]) + 
     F1[w, u, v]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      ((19*s[3])/4 + (67*s[4])/8 + (387*s[5])/44 + (1667*s[6])/88 + 
       (82939*s[7])/528 - (3097*s[8])/264 - (791*s[9])/6 - (253*s[10])/6 - 
       (29493*s[11])/176 - (7767*s[12])/44 - (55817*s[13])/528 - 
       (4909*s[14])/176 - (10525*s[15])/48 - (69211*s[16])/264 - 
       (115441*s[17])/528 - (274*s[18])/9 - (1825*s[19])/72 - 
       (250123*s[20])/792 - (63169*s[21])/528 + (125375*s[22])/1584 + 
       (42203*s[23])/264 + (134491*s[24])/792 - (503489*s[25])/2376 + 
       (292043*s[26])/2376 + s[30] - s[36]/2 + (3*s[37])/4 + 5*s[38] - 
       (155*s[39])/8 + (167*s[40])/8 - (135*s[41])/8 + (223*s[42])/8 + 
       (1509*s[43])/88 - (2719*s[44])/176 + (2285*s[45])/88 - 
       (7587*s[46])/44 + (4481*s[47])/528 - (3109*s[48])/528 - 
       (37907*s[49])/528 + (1436*s[50])/11 + (3353*s[51])/176 + 
       (9037*s[52])/528 - (12937*s[53])/132 + (393*s[54])/22 - 
       (330035*s[55])/528 - (27887*s[56])/176 + (2632*s[57])/33 - 
       (133769*s[58])/528 + (140449*s[59])/528 + (4364747*s[60])/3168 - 
       (73105*s[61])/891 - s[80]/2 - 3*s[82]) + F1[v, w, u]*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*((17*s[4])/2 + (939*s[5])/88 + (1271*s[6])/88 + 
       (41585*s[7])/264 - (3845*s[8])/264 - (3253*s[9])/24 - (977*s[10])/24 - 
       (1833*s[11])/11 - (15479*s[12])/88 - (25681*s[13])/264 - 
       (2119*s[14])/88 - (2729*s[15])/12 - (8837*s[16])/33 - 
       (58859*s[17])/264 - (263*s[18])/8 - (259*s[19])/12 - (7159*s[20])/22 - 
       (24743*s[21])/198 + (64475*s[22])/792 + (12737*s[23])/66 + 
       (66679*s[24])/396 - (2951887*s[25])/14256 + (1752907*s[26])/14256 - 
       (3*s[33])/4 + s[34] - s[36]/2 + (3*s[37])/4 + 5*s[38] - 
       (155*s[39])/8 + (167*s[40])/8 - (135*s[41])/8 + (223*s[42])/8 + 
       (1509*s[43])/88 - (2719*s[44])/176 + (2285*s[45])/88 - 
       (7587*s[46])/44 + (4481*s[47])/528 - (3109*s[48])/528 - 
       (37907*s[49])/528 + (1436*s[50])/11 + (3353*s[51])/176 + 
       (9037*s[52])/528 - (12937*s[53])/132 + (393*s[54])/22 - 
       (330035*s[55])/528 - (27887*s[56])/176 + (2632*s[57])/33 - 
       (133769*s[58])/528 + (140449*s[59])/528 + (4364747*s[60])/3168 - 
       (73105*s[61])/891 - s[80]/2 - 3*s[82]) + HPL[{1}, 1 - v]^2*K1[u, v, w]*
      ((19*s[3])/8 + (67*s[4])/16 + (49*s[5])/22 + (1589*s[6])/176 + 
       (17505*s[7])/352 - (6329*s[8])/1584 - (2885*s[9])/72 - 
       (643*s[10])/72 - (56435*s[11])/1056 - (7649*s[12])/132 - 
       (39905*s[13])/1056 - (5447*s[14])/1056 - (6329*s[15])/96 - 
       (41911*s[16])/528 - (67577*s[17])/1056 - (2209*s[18])/216 - 
       (2383*s[19])/432 - (424585*s[20])/4752 - (319685*s[21])/9504 + 
       (228061*s[22])/9504 + (35039*s[23])/528 + (227465*s[24])/4752 - 
       (190510*s[25])/2673 + (857927*s[26])/21384 + s[30]/2 - s[36]/4 + 
       (3*s[37])/8 + (3*s[38])/2 - (117*s[39])/16 + (129*s[40])/16 - 
       (97*s[41])/16 + (181*s[42])/16 + (955*s[43])/176 - (1241*s[44])/352 + 
       (1675*s[45])/176 - (5041*s[46])/88 + (7223*s[47])/1056 - 
       (7363*s[48])/1056 - (16301*s[49])/1056 + (426*s[50])/11 + 
       (9653*s[51])/1056 + (10147*s[52])/1056 - (7963*s[53])/264 + 
       (861*s[54])/44 - (200077*s[55])/1056 - (21393*s[56])/352 + 
       (4243*s[57])/66 - (33701*s[58])/352 + (95831*s[59])/1056 + 
       (2538149*s[60])/6336 - (107087*s[61])/3564 - s[76]/2 + s[80]/4 - 
       3*s[82]) + HPL[{1}, 1 - w]^2*K1[v, w, u]*((3*s[2])/4 + (15*s[4])/8 + 
       (711*s[5])/176 + (929*s[6])/176 + (7333*s[7])/132 - (6901*s[8])/1584 - 
       (7055*s[9])/144 - (1747*s[10])/144 - (29807*s[11])/528 - 
       (32257*s[12])/528 - (8483*s[13])/264 - (1697*s[14])/132 - 
       (3367*s[15])/48 - (22259*s[16])/264 - (721*s[17])/11 - 
       (7909*s[18])/432 + (79*s[19])/27 - (278155*s[20])/2376 - 
       (213605*s[21])/4752 + (68051*s[22])/2376 + (20803*s[23])/264 + 
       (53701*s[24])/1188 - (5818801*s[25])/85536 + (3581077*s[26])/85536 + 
       s[31]/2 + (3*s[33])/8 - s[36]/4 + (3*s[37])/8 + (3*s[38])/2 - 
       (117*s[39])/16 + (129*s[40])/16 - (97*s[41])/16 + (181*s[42])/16 + 
       (955*s[43])/176 - (1241*s[44])/352 + (1675*s[45])/176 - 
       (5041*s[46])/88 + (7223*s[47])/1056 - (7363*s[48])/1056 - 
       (16301*s[49])/1056 + (426*s[50])/11 + (9653*s[51])/1056 + 
       (10147*s[52])/1056 - (7963*s[53])/264 + (861*s[54])/44 - 
       (200077*s[55])/1056 - (21393*s[56])/352 + (4243*s[57])/66 - 
       (33701*s[58])/352 + (95831*s[59])/1056 + (2538149*s[60])/6336 - 
       (107087*s[61])/3564 - s[76]/2 + s[80]/4 - 3*s[82]) + 
     HPL[{0, 1}, 1 - w]*K1[v, w, u]*((-3*s[2])/2 + (41*s[3])/2 + 
       (571*s[4])/4 + (4425*s[5])/88 + (15575*s[6])/88 + (162161*s[7])/99 - 
       (425471*s[8])/2376 - (286387*s[9])/216 - (78995*s[10])/216 - 
       (183365*s[11])/99 - (1677629*s[12])/792 - (342427*s[13])/264 + 
       (42773*s[14])/792 - (16631*s[15])/8 - (717323*s[16])/264 - 
       (1511291*s[17])/792 - (176201*s[18])/648 - (45733*s[19])/162 - 
       (10648571*s[20])/3564 - (1797955*s[21])/1782 + (6012341*s[22])/7128 + 
       (630869*s[23])/264 + (12603611*s[24])/7128 - (319234217*s[25])/
        128304 + (160476665*s[26])/128304 - 2*s[29] + s[30] - s[33]/4 - 
       s[35] - (61*s[36])/6 + (91*s[37])/12 + (157*s[38])/2 - 
       (2377*s[39])/8 + (7567*s[40])/24 - (1903*s[41])/8 + (10049*s[42])/24 + 
       (65789*s[43])/264 - (135133*s[44])/528 + (64925*s[45])/264 - 
       (267809*s[46])/132 + (187271*s[47])/1584 - (14359*s[48])/1584 - 
       (1803317*s[49])/1584 + (201067*s[50])/132 + (435661*s[51])/1584 + 
       (369451*s[52])/1584 - (105421*s[53])/99 + (1909*s[54])/132 - 
       (1164065*s[55])/176 - (298323*s[56])/176 + (914891*s[57])/396 - 
       (15555557*s[58])/4752 + (15957521*s[59])/4752 + 
       (155343065*s[60])/9504 - (2987033*s[61])/3564 - s[65]/2 - s[66] + 
       2*s[67] + 2*s[68] + 3*s[69] + s[71]/2 + 2*s[72] - 2*s[73] - 
       (3*s[74])/2 + (3*s[75])/2 - 3*s[76] - s[77] + 4*s[78] + 2*s[79] + 
       (25*s[80])/6 - 3*s[82]) + HPL[{0, 1}, 1 - v]*K1[u, v, w]*
      ((13*s[2])/2 + (7*s[3])/4 + (745*s[4])/8 + (5081*s[5])/44 + 
       (19445*s[6])/88 + (1038109*s[7])/528 - (322471*s[8])/2376 - 
       (182473*s[9])/108 - (28009*s[10])/54 - (3422773*s[11])/1584 - 
       (461467*s[12])/198 - (2222287*s[13])/1584 - (511393*s[14])/1584 - 
       (380789*s[15])/144 - (658877*s[16])/198 - (4150735*s[17])/1584 - 
       (122591*s[18])/324 - (177029*s[19])/648 - (28390235*s[20])/7128 - 
       (21687775*s[21])/14256 + (14830835*s[22])/14256 + (846431*s[23])/396 + 
       (7648319*s[24])/3564 - (43181573*s[25])/16038 + 
       (12406489*s[26])/8019 + s[30] + 4*s[31] - s[32] + (11*s[33])/4 - 
       6*s[34] - s[35] - (61*s[36])/6 + (91*s[37])/12 + (157*s[38])/2 - 
       (2377*s[39])/8 + (7567*s[40])/24 - (1903*s[41])/8 + (10049*s[42])/24 + 
       (65789*s[43])/264 - (135133*s[44])/528 + (64925*s[45])/264 - 
       (267809*s[46])/132 + (187271*s[47])/1584 - (14359*s[48])/1584 - 
       (1803317*s[49])/1584 + (201067*s[50])/132 + (435661*s[51])/1584 + 
       (369451*s[52])/1584 - (105421*s[53])/99 + (1909*s[54])/132 - 
       (1164065*s[55])/176 - (298323*s[56])/176 + (914891*s[57])/396 - 
       (15555557*s[58])/4752 + (15957521*s[59])/4752 + 
       (155343065*s[60])/9504 - (2987033*s[61])/3564 - s[65]/2 - s[66] + 
       2*s[67] + 2*s[68] + 3*s[69] + s[71]/2 + 2*s[72] - 2*s[73] - 
       (3*s[74])/2 + (3*s[75])/2 - 3*s[76] - s[77] + 4*s[78] + 2*s[79] + 
       (25*s[80])/6 - 3*s[82]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*J1[w, u, v]*
      (-s[4]/4 + (15*s[5])/22 + (57*s[6])/88 + (2581*s[7])/528 - 
       (127*s[8])/792 - (40*s[9])/9 - (121*s[10])/72 - (139*s[11])/33 - 
       (419*s[12])/132 - (169*s[13])/176 - (148*s[14])/33 - (149*s[15])/16 - 
       (183*s[16])/22 - (5561*s[17])/528 - (17*s[18])/108 - (275*s[19])/216 - 
       (66703*s[20])/4752 - (25123*s[21])/4752 + (5713*s[22])/2376 - 
       (339*s[23])/88 + (3601*s[24])/594 - (21005*s[25])/5346 + 
       (150823*s[26])/42768 + s[39]/2 - s[40]/2 + s[41]/2 - (3*s[42])/4 + 
       (37*s[43])/44 + (31*s[44])/44 + (15*s[45])/11 - (197*s[46])/44 - 
       (113*s[47])/264 - (443*s[48])/264 + (317*s[49])/264 + (35*s[50])/11 - 
       (265*s[51])/264 - (5*s[52])/132 - (85*s[53])/22 + (27*s[54])/11 - 
       (7187*s[55])/264 - (1409*s[56])/264 - (2978*s[57])/99 + 
       (1697*s[58])/2376 + (4495*s[59])/2376 + (75277*s[60])/1584 - 
       (7787*s[61])/2673 - 2*s[82]) + HPL[{0, 1}, 1 - w]*J1[v, w, u]*
      ((33*s[3])/8 + (841*s[4])/32 + (5015*s[5])/352 + (403*s[6])/11 + 
       (2243173*s[7])/6336 - (8984*s[8])/297 - (253031*s[9])/864 - 
       (77647*s[10])/864 - (2503777*s[11])/6336 - (173345*s[12])/396 - 
       (574477*s[13])/2112 - (82969*s[14])/6336 - (90011*s[15])/192 - 
       (625705*s[16])/1056 - (2804849*s[17])/6336 - (138841*s[18])/2592 - 
       (182633*s[19])/2592 - (19093313*s[20])/28512 - 
       (13361089*s[21])/57024 + (10459607*s[22])/57024 + (54809*s[23])/132 + 
       (5820203*s[24])/14256 - (266898601*s[25])/513216 + 
       (139089061*s[26])/513216 - s[30]/8 + (3*s[35])/8 - (23*s[36])/24 + 
       (43*s[37])/48 + (67*s[38])/4 - (435*s[39])/8 + (175*s[40])/3 - 
       (177*s[41])/4 + (3503*s[42])/48 + (1745*s[43])/33 - 
       (25103*s[44])/528 + (3521*s[45])/66 - (17561*s[46])/44 + 
       (13487*s[47])/792 + (4907*s[48])/792 - (181217*s[49])/792 + 
       (161099*s[50])/528 + (77459*s[51])/1584 + (33205*s[52])/792 - 
       (18595*s[53])/88 - (211*s[54])/88 - (707557*s[55])/528 - 
       (511349*s[56])/1584 + (803311*s[57])/2376 - (4392719*s[58])/7128 + 
       (4578227*s[59])/7128 + (32006437*s[60])/9504 - 
       (20458711*s[61])/128304 - s[68]/8 + s[69]/8 - (5*s[76])/4 - s[77]/8 - 
       s[78]/4 + s[79]/2 + (29*s[80])/12 - (15*s[82])/8) + 
     HPL[{0, 1}, 1 - v]*J1[u, v, w]*((15*s[2])/8 + (587*s[4])/32 + 
       (6577*s[5])/352 + (5953*s[6])/176 + (760697*s[7])/2112 - 
       (19253*s[8])/792 - (90139*s[9])/288 - (27257*s[10])/288 - 
       (838589*s[11])/2112 - (114467*s[12])/264 - (183345*s[13])/704 - 
       (103241*s[14])/2112 - (31079*s[15])/64 - (212785*s[16])/352 - 
       (975613*s[17])/2112 - (53579*s[18])/864 - (49117*s[19])/864 - 
       (6944497*s[20])/9504 - (5070569*s[21])/19008 + (3660871*s[22])/19008 + 
       (65221*s[23])/176 + (969119*s[24])/2376 - (86049125*s[25])/171072 + 
       (47733173*s[26])/171072 + (5*s[31])/4 + (27*s[33])/16 - (5*s[34])/4 + 
       (3*s[35])/8 - (23*s[36])/24 + (43*s[37])/48 + (67*s[38])/4 - 
       (435*s[39])/8 + (175*s[40])/3 - (177*s[41])/4 + (3503*s[42])/48 + 
       (1745*s[43])/33 - (25103*s[44])/528 + (3521*s[45])/66 - 
       (17561*s[46])/44 + (13487*s[47])/792 + (4907*s[48])/792 - 
       (181217*s[49])/792 + (161099*s[50])/528 + (77459*s[51])/1584 + 
       (33205*s[52])/792 - (18595*s[53])/88 - (211*s[54])/88 - 
       (707557*s[55])/528 - (511349*s[56])/1584 + (803311*s[57])/2376 - 
       (4392719*s[58])/7128 + (4578227*s[59])/7128 + (32006437*s[60])/9504 - 
       (20458711*s[61])/128304 - s[68]/8 + s[69]/8 - (5*s[76])/4 - s[77]/8 - 
       s[78]/4 + s[79]/2 + (29*s[80])/12 - (15*s[82])/8) + 
     F1[w, u, v]*HPL[{1}, 1 - w]^3*((7*s[4])/4 + 2*s[5] + (13*s[6])/4 + 
       (779*s[7])/24 - (377*s[8])/108 - (731*s[9])/27 - (491*s[10])/54 - 
       (2249*s[11])/72 - (1067*s[12])/36 - (1121*s[13])/72 - (443*s[14])/72 - 
       (437*s[15])/8 - (508*s[16])/9 - (3947*s[17])/72 - (376*s[18])/81 - 
       (2009*s[19])/324 - (21343*s[20])/324 - (14861*s[21])/648 + 
       (10345*s[22])/648 + (1217*s[23])/36 + (11525*s[24])/324 - 
       (58697*s[25])/1458 + (33227*s[26])/1458 + s[37]/2 + s[38]/6 - 
       (23*s[39])/12 + (23*s[40])/12 - (7*s[41])/4 + (13*s[42])/4 + 
       (35*s[43])/12 - (29*s[44])/24 + (71*s[45])/12 - (211*s[46])/6 + 
       (59*s[47])/72 - (151*s[48])/72 - (617*s[49])/72 + 28*s[50] + 
       (145*s[51])/72 + (115*s[52])/72 - (236*s[53])/9 + (19*s[54])/3 - 
       (11633*s[55])/72 - (853*s[56])/24 - (689*s[57])/18 - (853*s[58])/24 + 
       (3215*s[59])/72 + (120341*s[60])/432 - (17369*s[61])/972 - 
       (3*s[82])/2) + F1[v, w, u]*HPL[{1}, 1 - v]^3*
      ((47*s[5])/12 + (47*s[6])/12 + (1261*s[7])/36 - (199*s[8])/108 - 
       (3367*s[9])/108 - (1277*s[10])/108 - (290*s[11])/9 - (485*s[12])/18 - 
       (121*s[13])/9 - (313*s[14])/18 - (1099*s[15])/18 - (2233*s[16])/36 - 
       (803*s[17])/12 - (2639*s[18])/324 - (298*s[19])/81 - (6590*s[20])/81 - 
       (11183*s[21])/324 + (2843*s[22])/162 + (212*s[23])/9 + 
       (5609*s[24])/162 - (207367*s[25])/5832 + (158047*s[26])/5832 + 
       s[37]/2 + s[38]/6 - (23*s[39])/12 + (23*s[40])/12 - (7*s[41])/4 + 
       (13*s[42])/4 + (35*s[43])/12 - (29*s[44])/24 + (71*s[45])/12 - 
       (211*s[46])/6 + (59*s[47])/72 - (151*s[48])/72 - (617*s[49])/72 + 
       28*s[50] + (145*s[51])/72 + (115*s[52])/72 - (236*s[53])/9 + 
       (19*s[54])/3 - (11633*s[55])/72 - (853*s[56])/24 - (689*s[57])/18 - 
       (853*s[58])/24 + (3215*s[59])/72 + (120341*s[60])/432 - 
       (17369*s[61])/972 - (3*s[82])/2) + HPL[{1}, 1 - w]^2*K1[w, u, v]*
      ((21*s[4])/4 + (631*s[5])/176 + (1315*s[6])/176 + (41761*s[7])/528 - 
       (33241*s[8])/4752 - (28955*s[9])/432 - (8953*s[10])/432 - 
       (33665*s[11])/396 - (143755*s[12])/1584 - (84743*s[13])/1584 - 
       (11591*s[14])/1584 - (8201*s[15])/72 - (53231*s[16])/396 - 
       (172793*s[17])/1584 - (15343*s[18])/1296 - (9727*s[19])/648 - 
       (139544*s[20])/891 - (195011*s[21])/3564 + (588547*s[22])/14256 + 
       (9055*s[23])/99 + (645101*s[24])/7128 - (28315411*s[25])/256608 + 
       (15225415*s[26])/256608 - s[36]/4 + (13*s[37])/24 + 3*s[38] - 
       (171*s[39])/16 + (191*s[40])/16 - (151*s[41])/16 + (247*s[42])/16 + 
       (1861*s[43])/176 - (3159*s[44])/352 + (5975*s[45])/528 - 
       (23377*s[46])/264 + (3425*s[47])/1056 - (469*s[48])/1056 - 
       (45827*s[49])/1056 + (1535*s[50])/22 + (10939*s[51])/1056 + 
       (10357*s[52])/1056 - (41099*s[53])/792 + (1003*s[54])/132 - 
       (114001*s[55])/352 - (241303*s[56])/3168 + (82993*s[57])/2376 - 
       (3514523*s[58])/28512 + (3837443*s[59])/28512 + (4679347*s[60])/6336 - 
       (2383499*s[61])/64152 + 2*s[79] - (5*s[80])/12 - (3*s[82])/2) + 
     HPL[{1}, 1 - v]^2*K1[w, u, v]*((-3*s[3])/8 + (67*s[4])/16 + 
       (409*s[5])/88 + (1359*s[6])/176 + (85931*s[7])/1056 - 
       (31657*s[8])/4752 - (3733*s[9])/54 - (604*s[10])/27 - 
       (273181*s[11])/3168 - (71531*s[12])/792 - (168595*s[13])/3168 - 
       (41893*s[14])/3168 - (33695*s[15])/288 - (219557*s[16])/1584 - 
       (367267*s[17])/3168 - (4297*s[18])/324 - (18041*s[19])/1296 - 
       (2343287*s[20])/14256 - (1675819*s[21])/28512 + 
       (1206299*s[22])/28512 + (133297*s[23])/1584 + (1313863*s[24])/14256 - 
       (14099147*s[25])/128304 + (7782245*s[26])/128304 - s[36]/4 + 
       (13*s[37])/24 + 3*s[38] - (171*s[39])/16 + (191*s[40])/16 - 
       (151*s[41])/16 + (247*s[42])/16 + (1861*s[43])/176 - 
       (3159*s[44])/352 + (5975*s[45])/528 - (23377*s[46])/264 + 
       (3425*s[47])/1056 - (469*s[48])/1056 - (45827*s[49])/1056 + 
       (1535*s[50])/22 + (10939*s[51])/1056 + (10357*s[52])/1056 - 
       (41099*s[53])/792 + (1003*s[54])/132 - (114001*s[55])/352 - 
       (241303*s[56])/3168 + (82993*s[57])/2376 - (3514523*s[58])/28512 + 
       (3837443*s[59])/28512 + (4679347*s[60])/6336 - (2383499*s[61])/64152 + 
       2*s[79] - (5*s[80])/12 - (3*s[82])/2) + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*J1[v, w, u]*((-5*s[4])/4 - (15*s[5])/22 - 
       (255*s[6])/88 - (8059*s[7])/528 + (1381*s[8])/792 + (115*s[9])/9 + 
       (223*s[10])/72 + (535*s[11])/33 + (509*s[12])/33 + (1731*s[13])/176 + 
       (361*s[14])/132 + (419*s[15])/16 + (1169*s[16])/44 + 
       (13679*s[17])/528 - (31*s[18])/108 + (1001*s[19])/216 + 
       (139633*s[20])/4752 + (45385*s[21])/4752 - (18253*s[22])/2376 - 
       (959*s[23])/88 - (5843*s[24])/297 + (116969*s[25])/5346 - 
       (491449*s[26])/42768 + (3*s[39])/2 - (3*s[40])/2 + (3*s[41])/2 - 
       (9*s[42])/4 - (101*s[43])/44 + (123*s[44])/88 - (15*s[45])/22 + 
       (445*s[46])/44 - (169*s[47])/264 + (29*s[48])/264 + (1981*s[49])/264 - 
       (301*s[50])/44 - (207*s[51])/88 - (215*s[52])/264 + (226*s[53])/33 - 
       (27*s[54])/22 + (9473*s[55])/264 + (453*s[56])/88 + (179*s[57])/44 + 
       (8321*s[58])/792 - (11069*s[59])/792 - (128383*s[60])/1584 + 
       (15637*s[61])/7128 + s[82]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      J1[u, v, w]*(-s[4]/4 - (3*s[6])/8 - (89*s[7])/48 + (13*s[8])/72 + 
       (47*s[9])/36 + (23*s[10])/72 + (59*s[11])/24 + (61*s[12])/24 + 
       (95*s[13])/48 - (5*s[14])/12 + (19*s[15])/16 + (29*s[16])/12 + 
       (5*s[17])/16 + (37*s[18])/27 - (173*s[19])/216 + (1063*s[20])/432 + 
       (463*s[21])/432 - (217*s[22])/216 - (79*s[23])/12 - (79*s[24])/216 + 
       (5567*s[25])/1944 - (4285*s[26])/3888 + (3*s[39])/2 - (3*s[40])/2 + 
       (3*s[41])/2 - (9*s[42])/4 - (101*s[43])/44 + (123*s[44])/88 - 
       (15*s[45])/22 + (445*s[46])/44 - (169*s[47])/264 + (29*s[48])/264 + 
       (1981*s[49])/264 - (301*s[50])/44 - (207*s[51])/88 - (215*s[52])/264 + 
       (226*s[53])/33 - (27*s[54])/22 + (9473*s[55])/264 + (453*s[56])/88 + 
       (179*s[57])/44 + (8321*s[58])/792 - (11069*s[59])/792 - 
       (128383*s[60])/1584 + (15637*s[61])/7128 + s[82]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      ((-11*s[3])/4 - 16*s[4] + (31*s[5])/88 - (1059*s[6])/88 - 
       (107615*s[7])/792 + (37009*s[8])/2376 + (23963*s[9])/216 + 
       (6043*s[10])/216 + (131735*s[11])/792 + (79859*s[12])/396 + 
       (36023*s[13])/264 - (28585*s[14])/792 + (865*s[15])/6 + 
       (14359*s[16])/66 + (46127*s[17])/396 + (9241*s[18])/648 + 
       (10519*s[19])/324 + (379463*s[20])/1782 + (225613*s[21])/3564 - 
       (518965*s[22])/7128 - (53887*s[23])/264 - (1143049*s[24])/7128 + 
       (30154879*s[25])/128304 - (13251511*s[26])/128304 + s[30]/2 - 
       (3*s[35])/2 + s[36]/3 - (5*s[37])/6 - 10*s[38] + (251*s[39])/8 - 
       (833*s[40])/24 + (211*s[41])/8 - (1015*s[42])/24 - (6955*s[43])/264 + 
       (15425*s[44])/528 - (4643*s[45])/264 + (7011*s[46])/44 - 
       (19795*s[47])/1584 - (5209*s[48])/1584 + (194641*s[49])/1584 - 
       (16547*s[50])/132 - (47621*s[51])/1584 - (37607*s[52])/1584 + 
       (3049*s[53])/44 + (262*s[54])/11 + (224335*s[55])/528 + 
       (164459*s[56])/1584 - (440285*s[57])/1188 + (4395331*s[58])/14256 - 
       (4287907*s[59])/14256 - (13124917*s[60])/9504 + 
       (1572553*s[61])/32076 + s[68]/2 - s[69]/2 + s[76] + s[77]/2 + s[78] - 
       2*s[79] - (7*s[80])/6 + (3*s[82])/2) + HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*((-3*s[2])/2 - (95*s[4])/8 - 
       (83*s[5])/22 - (729*s[6])/88 - (74651*s[7])/528 + (7907*s[8])/792 + 
       (2263*s[9])/18 + (277*s[10])/9 + (87893*s[11])/528 + 
       (51989*s[12])/264 + (21511*s[13])/176 - (1981*s[14])/528 + 
       (2563*s[15])/16 + (20029*s[16])/88 + (71971*s[17])/528 + 
       (1307*s[18])/54 + (4255*s[19])/216 + (645229*s[20])/2376 + 
       (441137*s[21])/4752 - (379897*s[22])/4752 - (7861*s[23])/44 - 
       (184339*s[24])/1188 + (4666093*s[25])/21384 - (2341159*s[26])/21384 - 
       s[31] - (9*s[33])/4 + s[34] - (3*s[35])/2 + s[36]/3 - (5*s[37])/6 - 
       10*s[38] + (251*s[39])/8 - (833*s[40])/24 + (211*s[41])/8 - 
       (1015*s[42])/24 - (6955*s[43])/264 + (15425*s[44])/528 - 
       (4643*s[45])/264 + (7011*s[46])/44 - (19795*s[47])/1584 - 
       (5209*s[48])/1584 + (194641*s[49])/1584 - (16547*s[50])/132 - 
       (47621*s[51])/1584 - (37607*s[52])/1584 + (3049*s[53])/44 + 
       (262*s[54])/11 + (224335*s[55])/528 + (164459*s[56])/1584 - 
       (440285*s[57])/1188 + (4395331*s[58])/14256 - (4287907*s[59])/14256 - 
       (13124917*s[60])/9504 + (1572553*s[61])/32076 + s[68]/2 - s[69]/2 + 
       s[76] + s[77]/2 + s[78] - 2*s[79] - (7*s[80])/6 + (3*s[82])/2) + 
     F1[w, u, v]*HPL[{1}, 1 - v]^3*((3*s[3])/8 - (67*s[4])/16 - 
       (409*s[5])/88 - (1359*s[6])/176 - (85931*s[7])/1056 + 
       (31657*s[8])/4752 + (3733*s[9])/54 + (604*s[10])/27 + 
       (273181*s[11])/3168 + (71531*s[12])/792 + (168595*s[13])/3168 + 
       (41893*s[14])/3168 + (33695*s[15])/288 + (219557*s[16])/1584 + 
       (367267*s[17])/3168 + (4297*s[18])/324 + (18041*s[19])/1296 + 
       (2343287*s[20])/14256 + (1675819*s[21])/28512 - 
       (1214219*s[22])/28512 - (133297*s[23])/1584 - (1299607*s[24])/14256 + 
       (14093603*s[25])/128304 - (7776701*s[26])/128304 + s[36]/4 - 
       (13*s[37])/24 - 3*s[38] + (171*s[39])/16 - (191*s[40])/16 + 
       (151*s[41])/16 - (247*s[42])/16 - (1861*s[43])/176 + 
       (3159*s[44])/352 - (5975*s[45])/528 + (23377*s[46])/264 - 
       (3953*s[47])/1056 + (469*s[48])/1056 + (45827*s[49])/1056 - 
       (1535*s[50])/22 - (10939*s[51])/1056 - (10357*s[52])/1056 + 
       (41099*s[53])/792 - (1003*s[54])/132 + (113825*s[55])/352 + 
       (241303*s[56])/3168 - (83785*s[57])/2376 + (3520859*s[58])/28512 - 
       (3815267*s[59])/28512 - (4679347*s[60])/6336 + (2377559*s[61])/64152 - 
       2*s[79] + (5*s[80])/12 + (3*s[82])/2) + F1[v, w, u]*HPL[{1}, 1 - w]^3*
      ((-21*s[4])/4 - (631*s[5])/176 - (1315*s[6])/176 - (42025*s[7])/528 + 
       (34825*s[8])/4752 + (29099*s[9])/432 + (8809*s[10])/432 + 
       (33863*s[11])/396 + (145339*s[12])/1584 + (86327*s[13])/1584 + 
       (12383*s[14])/1584 + (8165*s[15])/72 + (53231*s[16])/396 + 
       (172001*s[17])/1584 + (15199*s[18])/1296 + (9583*s[19])/648 + 
       (279187*s[20])/1782 + (192239*s[21])/3564 - (592507*s[22])/14256 - 
       (17813*s[23])/198 - (648269*s[24])/7128 + (28592611*s[25])/256608 - 
       (15174727*s[26])/256608 + s[36]/4 - (13*s[37])/24 - 3*s[38] + 
       (171*s[39])/16 - (191*s[40])/16 + (151*s[41])/16 - (247*s[42])/16 - 
       (1861*s[43])/176 + (3159*s[44])/352 - (5975*s[45])/528 + 
       (23377*s[46])/264 - (3953*s[47])/1056 + (469*s[48])/1056 + 
       (45827*s[49])/1056 - (1535*s[50])/22 - (10939*s[51])/1056 - 
       (10357*s[52])/1056 + (41099*s[53])/792 - (1003*s[54])/132 + 
       (113825*s[55])/352 + (241303*s[56])/3168 - (83785*s[57])/2376 + 
       (3520859*s[58])/28512 - (3815267*s[59])/28512 - (4679347*s[60])/6336 + 
       (2377559*s[61])/64152 - 2*s[79] + (5*s[80])/12 + (3*s[82])/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*Phi6[u, v, w]*
      ((-17*s[4])/3 - (799*s[5])/176 - (1567*s[6])/176 - (48527*s[7])/528 + 
       (13391*s[8])/1584 + (11209*s[9])/144 + (3443*s[10])/144 + 
       (25645*s[11])/264 + (54301*s[12])/528 + (31607*s[13])/528 + 
       (6623*s[14])/528 + (1216*s[15])/9 + (1719*s[16])/11 + 
       (69313*s[17])/528 + (5405*s[18])/432 + (3875*s[19])/216 + 
       (109697*s[20])/594 + (152315*s[21])/2376 - (226247*s[22])/4752 - 
       (2081*s[23])/22 - (252283*s[24])/2376 + (10749881*s[25])/85536 - 
       (5854205*s[26])/85536 + s[36]/4 - (13*s[37])/24 - 3*s[38] + 
       (485*s[39])/48 - (545*s[40])/48 + (425*s[41])/48 - (235*s[42])/16 - 
       (497*s[43])/48 + (787*s[44])/96 - (649*s[45])/48 + (2311*s[46])/24 - 
       (319*s[47])/96 + (187*s[48])/96 + (3901*s[49])/96 - (229*s[50])/3 - 
       (2543*s[51])/288 - (931*s[52])/96 + (4157*s[53])/72 - (125*s[54])/12 + 
       (11759*s[55])/32 + (25609*s[56])/288 - (2683*s[57])/216 + 
       (337157*s[58])/2592 - (368045*s[59])/2592 - (464461*s[60])/576 + 
       (256109*s[61])/5832 - 2*s[79] + (5*s[80])/12 + (13*s[82])/6) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*Phi6[u, v, w]*
      ((3*s[3])/8 - (51*s[4])/16 - (519*s[5])/88 - (1315*s[6])/176 - 
       (30257*s[7])/352 + (29149*s[8])/4752 + (7949*s[9])/108 + 
       (2743*s[10])/108 + (282421*s[11])/3168 + (72653*s[12])/792 + 
       (164635*s[13])/3168 + (63541*s[14])/3168 + (36047*s[15])/288 + 
       (233021*s[16])/1584 + (401851*s[17])/3168 + (2735*s[18])/162 + 
       (15977*s[19])/1296 + (2584187*s[20])/14256 + (1941403*s[21])/28512 - 
       (1276523*s[22])/28512 - (134881*s[23])/1584 - (1332343*s[24])/14256 + 
       (14055521*s[25])/128304 - (8302919*s[26])/128304 + s[36]/4 - 
       (13*s[37])/24 - 3*s[38] + (485*s[39])/48 - (545*s[40])/48 + 
       (425*s[41])/48 - (235*s[42])/16 - (497*s[43])/48 + (787*s[44])/96 - 
       (649*s[45])/48 + (2311*s[46])/24 - (319*s[47])/96 + (187*s[48])/96 + 
       (3901*s[49])/96 - (229*s[50])/3 - (2543*s[51])/288 - (931*s[52])/96 + 
       (4157*s[53])/72 - (125*s[54])/12 + (11759*s[55])/32 + 
       (25609*s[56])/288 - (2683*s[57])/216 + (337157*s[58])/2592 - 
       (368045*s[59])/2592 - (464461*s[60])/576 + (256109*s[61])/5832 - 
       2*s[79] + (5*s[80])/12 + (13*s[82])/6) + HPL[{0, 1}, 1 - w]*
      J1[u, v, w]*((-73*s[4])/32 - (2009*s[5])/352 - (1911*s[6])/176 - 
       (400777*s[7])/6336 + (12161*s[8])/4752 + (44093*s[9])/864 + 
       (13885*s[10])/864 + (421117*s[11])/6336 + (13357*s[12])/198 + 
       (74929*s[13])/2112 + (143677*s[14])/6336 + (18515*s[15])/192 + 
       (116161*s[16])/1056 + (638969*s[17])/6336 + (38611*s[18])/2592 + 
       (18677*s[19])/2592 + (4077809*s[20])/28512 + (3293233*s[21])/57024 - 
       (1783523*s[22])/57024 - (39701*s[23])/528 - (481225*s[24])/7128 + 
       (40811647*s[25])/513216 - (27125707*s[26])/513216 - (5*s[30])/8 + 
       (15*s[35])/8 + (11*s[36])/24 + (5*s[37])/48 - (7*s[38])/4 + 
       (117*s[39])/16 - (301*s[40])/48 + (75*s[41])/16 - (229*s[42])/24 - 
       (5519*s[43])/528 + (7279*s[44])/1056 - (4663*s[45])/528 + 
       (6365*s[46])/88 - (863*s[47])/3168 - (10301*s[48])/3168 + 
       (114701*s[49])/3168 - (23633*s[50])/528 - (14683*s[51])/3168 - 
       (11035*s[52])/3168 + (459*s[53])/11 - (861*s[54])/88 + 
       (89019*s[55])/352 + (202765*s[56])/3168 + (5395*s[57])/1188 + 
       (2578295*s[58])/28512 - (2987471*s[59])/28512 - 
       (10388639*s[60])/19008 + (4318339*s[61])/128304 - (5*s[68])/8 + 
       (5*s[69])/8 - s[76]/4 - (5*s[77])/8 - (5*s[78])/4 + (5*s[79])/2 - 
       (2*s[80])/3 + (21*s[82])/8) + HPL[{0, 1}, 1 - v]*J1[v, w, u]*
      ((3*s[2])/8 - (17*s[4])/32 - (1393*s[5])/352 - (1203*s[6])/88 - 
       (129911*s[7])/2112 + (8329*s[8])/1584 + (14179*s[9])/288 + 
       (4721*s[10])/288 + (144743*s[11])/2112 + (37573*s[12])/528 + 
       (32647*s[13])/704 + (21815*s[14])/2112 + (5637*s[15])/64 + 
       (37635*s[16])/352 + (190051*s[17])/2112 + (6995*s[18])/864 + 
       (11083*s[19])/864 + (1098115*s[20])/9504 + (848147*s[21])/19008 - 
       (569281*s[22])/19008 - (11877*s[23])/176 - (178793*s[24])/2376 + 
       (15196697*s[25])/171072 - (8729297*s[26])/171072 + s[31]/4 + 
       (27*s[33])/16 - s[34]/4 + (15*s[35])/8 + (11*s[36])/24 + 
       (5*s[37])/48 - (7*s[38])/4 + (117*s[39])/16 - (301*s[40])/48 + 
       (75*s[41])/16 - (229*s[42])/24 - (5519*s[43])/528 + 
       (7279*s[44])/1056 - (4663*s[45])/528 + (6365*s[46])/88 - 
       (863*s[47])/3168 - (10301*s[48])/3168 + (114701*s[49])/3168 - 
       (23633*s[50])/528 - (14683*s[51])/3168 - (11035*s[52])/3168 + 
       (459*s[53])/11 - (861*s[54])/88 + (89019*s[55])/352 + 
       (202765*s[56])/3168 + (5395*s[57])/1188 + (2578295*s[58])/28512 - 
       (2987471*s[59])/28512 - (10388639*s[60])/19008 + 
       (4318339*s[61])/128304 - (5*s[68])/8 + (5*s[69])/8 - s[76]/4 - 
       (5*s[77])/8 - (5*s[78])/4 + (5*s[79])/2 - (2*s[80])/3 + 
       (21*s[82])/8) + A3[w, u, v]*HPL[{1}, 1 - w]*(-s[4] + (6*s[5])/11 + 
       (9*s[6])/11 + (145*s[7])/33 + (83*s[8])/99 - (35*s[9])/9 - 
       (37*s[10])/9 - (427*s[11])/66 - (359*s[12])/66 - (181*s[13])/33 - 
       (125*s[14])/33 - (28*s[15])/3 - (433*s[16])/33 - (317*s[17])/22 + 
       (110*s[18])/27 - (194*s[19])/27 - (3350*s[20])/297 - 
       (1007*s[21])/297 + (832*s[22])/297 - (1277*s[23])/66 + 
       (9857*s[24])/594 - (44095*s[25])/5346 + (18643*s[26])/5346 + s[38] + 
       s[41] - s[42] + (14*s[43])/11 - (47*s[44])/22 + (12*s[45])/11 - 
       (68*s[46])/11 - (181*s[47])/66 + (347*s[48])/66 - (689*s[49])/66 + 
       (72*s[50])/11 - (91*s[51])/22 - (167*s[52])/66 - (146*s[53])/33 - 
       (106*s[54])/11 - (2357*s[55])/66 - (25*s[56])/22 - (943*s[57])/33 + 
       (113*s[58])/66 + (105*s[59])/22 + (39581*s[60])/396 - 
       (1351*s[61])/1782 + 3*s[82]) + A3[v, w, u]*HPL[{1}, 1 - v]*
      ((6*s[5])/11 - (13*s[6])/11 + (137*s[7])/22 - (38*s[8])/99 - 
       (46*s[9])/9 - (35*s[10])/9 - (241*s[11])/33 - (535*s[12])/66 - 
       (131*s[13])/66 - (107*s[14])/66 - (73*s[15])/6 - (499*s[16])/33 - 
       (415*s[17])/33 - (8*s[18])/27 - (97*s[19])/27 - (5770*s[20])/297 - 
       (3191*s[21])/594 + (2269*s[22])/594 + (307*s[23])/66 + 
       (7459*s[24])/594 - (44909*s[25])/5346 + (20249*s[26])/5346 + s[38] + 
       s[41] - s[42] + (14*s[43])/11 - (47*s[44])/22 + (12*s[45])/11 - 
       (68*s[46])/11 - (181*s[47])/66 + (347*s[48])/66 - (689*s[49])/66 + 
       (72*s[50])/11 - (91*s[51])/22 - (167*s[52])/66 - (146*s[53])/33 - 
       (106*s[54])/11 - (2357*s[55])/66 - (25*s[56])/22 - (943*s[57])/33 + 
       (113*s[58])/66 + (105*s[59])/22 + (39581*s[60])/396 - 
       (1351*s[61])/1782 + 3*s[82]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      K1[u, v, w]*((-19*s[3])/4 - (67*s[4])/8 - (387*s[5])/44 - 
       (1667*s[6])/88 - (82939*s[7])/528 + (3097*s[8])/264 + (791*s[9])/6 + 
       (253*s[10])/6 + (29493*s[11])/176 + (7767*s[12])/44 + 
       (55817*s[13])/528 + (4909*s[14])/176 + (10525*s[15])/48 + 
       (69211*s[16])/264 + (115441*s[17])/528 + (274*s[18])/9 + 
       (1825*s[19])/72 + (250123*s[20])/792 + (63169*s[21])/528 - 
       (124847*s[22])/1584 - (41675*s[23])/264 - (135019*s[24])/792 + 
       (504721*s[25])/2376 - (293275*s[26])/2376 - s[30] + s[36]/2 - 
       (3*s[37])/4 - 5*s[38] + (155*s[39])/8 - (167*s[40])/8 + 
       (135*s[41])/8 - (223*s[42])/8 - (1509*s[43])/88 + (2719*s[44])/176 - 
       (2285*s[45])/88 + (7587*s[46])/44 - (5009*s[47])/528 + 
       (3109*s[48])/528 + (37907*s[49])/528 - (1436*s[50])/11 - 
       (3353*s[51])/176 - (9565*s[52])/528 + (12937*s[53])/132 - 
       (393*s[54])/22 + (329507*s[55])/528 + (27887*s[56])/176 - 
       (2588*s[57])/33 + (399899*s[58])/1584 - (416771*s[59])/1584 - 
       (4379531*s[60])/3168 + (24460*s[61])/297 + s[80]/2 + 3*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*K1[v, w, u]*((-17*s[4])/2 - 
       (939*s[5])/88 - (1271*s[6])/88 - (41849*s[7])/264 + (4021*s[8])/264 + 
       (3269*s[9])/24 + (961*s[10])/24 + (1844*s[11])/11 + (15655*s[12])/88 + 
       (26209*s[13])/264 + (2207*s[14])/88 + (2717*s[15])/12 + 
       (8837*s[16])/33 + (58595*s[17])/264 + (2351*s[18])/72 + 
       (761*s[19])/36 + (64453*s[20])/198 + (8101*s[21])/66 - 
       (64915*s[22])/792 - (12605*s[23])/66 - (67295*s[24])/396 + 
       (995813*s[25])/4752 - (580841*s[26])/4752 + (3*s[33])/4 - s[34] + 
       s[36]/2 - (3*s[37])/4 - 5*s[38] + (155*s[39])/8 - (167*s[40])/8 + 
       (135*s[41])/8 - (223*s[42])/8 - (1509*s[43])/88 + (2719*s[44])/176 - 
       (2285*s[45])/88 + (7587*s[46])/44 - (5009*s[47])/528 + 
       (3109*s[48])/528 + (37907*s[49])/528 - (1436*s[50])/11 - 
       (3353*s[51])/176 - (9565*s[52])/528 + (12937*s[53])/132 - 
       (393*s[54])/22 + (329507*s[55])/528 + (27887*s[56])/176 - 
       (2588*s[57])/33 + (399899*s[58])/1584 - (416771*s[59])/1584 - 
       (4379531*s[60])/3168 + (24460*s[61])/297 + s[80]/2 + 3*s[82]) + 
     H1[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*(-3*s[4] - (30*s[5])/11 - 
       (189*s[6])/22 - (6277*s[7])/132 + (919*s[8])/198 + (358*s[9])/9 + 
       (193*s[10])/18 + (1579*s[11])/33 + (1541*s[12])/33 + (1269*s[13])/44 + 
       (427*s[14])/33 + (935*s[15])/12 + (883*s[16])/11 + (10181*s[17])/132 + 
       (125*s[18])/27 + (491*s[19])/54 + (111847*s[20])/1188 + 
       (39775*s[21])/1188 - (13831*s[22])/594 - (827*s[23])/22 - 
       (16211*s[24])/297 + (166057*s[25])/2673 - (383275*s[26])/10692 + 
       2*s[39] - 2*s[40] + 2*s[41] - 3*s[42] - (35*s[43])/11 + 
       (35*s[44])/22 - (30*s[45])/11 + (247*s[46])/11 - (59*s[47])/66 + 
       (7*s[48])/66 + (551*s[49])/66 - (169*s[50])/11 - (247*s[51])/66 - 
       (127*s[52])/66 + (162*s[53])/11 - (98*s[54])/11 + (5755*s[55])/66 + 
       (1381*s[56])/66 + (1963*s[57])/99 + (14381*s[58])/594 - 
       (16289*s[59])/594 - (68213*s[60])/396 + (51971*s[61])/5346 + 
       4*s[82]) + H1[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      (s[4] + (3*s[6])/2 + (27*s[7])/4 - (7*s[8])/6 - (17*s[9])/3 - 
       (5*s[10])/6 - (13*s[11])/2 - (15*s[12])/2 - (21*s[13])/4 + s[14] - 
       (161*s[15])/12 - 13*s[16] - (53*s[17])/4 + (20*s[18])/9 - 
       (73*s[19])/18 - (373*s[20])/36 - (85*s[21])/36 + (55*s[22])/18 + 
       3*s[23] + (217*s[24])/18 - (1817*s[25])/162 + (1807*s[26])/324 + 
       2*s[39] - 2*s[40] + 2*s[41] - 3*s[42] - (35*s[43])/11 + 
       (35*s[44])/22 - (30*s[45])/11 + (247*s[46])/11 - (59*s[47])/66 + 
       (7*s[48])/66 + (551*s[49])/66 - (169*s[50])/11 - (247*s[51])/66 - 
       (127*s[52])/66 + (162*s[53])/11 - (98*s[54])/11 + (5755*s[55])/66 + 
       (1381*s[56])/66 + (1963*s[57])/99 + (14381*s[58])/594 - 
       (16289*s[59])/594 - (68213*s[60])/396 + (51971*s[61])/5346 + 
       4*s[82]) + F1[u, v, w]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      ((-48*s[5])/11 - (45*s[6])/22 - (5267*s[7])/132 + (24*s[8])/11 + 
       35*s[9] + (31*s[10])/2 + (717*s[11])/22 + (1075*s[12])/44 + 
       (655*s[13])/132 + (743*s[14])/44 + (307*s[15])/4 + (2320*s[16])/33 + 
       (5287*s[17])/66 + (103*s[18])/9 + (73*s[19])/18 + (19315*s[20])/198 + 
       (16201*s[21])/396 - (2495*s[22])/132 - (5561*s[23])/132 - 
       (4711*s[24])/132 + (120535*s[25])/3564 - (103129*s[26])/3564 - s[37] - 
       s[42]/2 - (13*s[43])/11 - (51*s[44])/44 - (96*s[45])/11 + 
       (434*s[46])/11 - (19*s[47])/132 + (773*s[48])/132 - (515*s[49])/132 - 
       (356*s[50])/11 - (29*s[51])/44 - (221*s[52])/132 + (1091*s[53])/33 - 
       (197*s[54])/11 + (28241*s[55])/132 + (2149*s[56])/44 + 
       (3265*s[57])/33 + (1227*s[58])/44 - (5623*s[59])/132 - 
       (237175*s[60])/792 + (88265*s[61])/3564 + (9*s[82])/2) + 
     F1[u, v, w]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*((-48*s[5])/11 - 
       (111*s[6])/22 - (1292*s[7])/33 + (37*s[8])/22 + (69*s[9])/2 + 
       13*s[10] + (1467*s[11])/44 + (1075*s[12])/44 + (773*s[13])/66 + 
       (487*s[14])/22 + 75*s[15] + (2221*s[16])/33 + (10673*s[17])/132 + 
       (58*s[18])/9 + (59*s[19])/9 + (8915*s[20])/99 + (7259*s[21])/198 - 
       (207*s[22])/11 - (1799*s[23])/132 - (1893*s[24])/44 + 
       (129511*s[25])/3564 - (99631*s[26])/3564 - s[37] - s[42]/2 - 
       (13*s[43])/11 - (51*s[44])/44 - (96*s[45])/11 + (434*s[46])/11 - 
       (19*s[47])/132 + (773*s[48])/132 - (515*s[49])/132 - (356*s[50])/11 - 
       (29*s[51])/44 - (221*s[52])/132 + (1091*s[53])/33 - (197*s[54])/11 + 
       (28241*s[55])/132 + (2149*s[56])/44 + (3265*s[57])/33 + 
       (1227*s[58])/44 - (5623*s[59])/132 - (237175*s[60])/792 + 
       (88265*s[61])/3564 + (9*s[82])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      K1[w, u, v]*((3*s[3])/4 - (67*s[4])/8 - (82*s[5])/11 - (1677*s[6])/88 - 
       (72931*s[7])/528 + (26335*s[8])/2376 + (12751*s[9])/108 + 
       (3341*s[10])/108 + (232093*s[11])/1584 + (30691*s[12])/198 + 
       (153727*s[13])/1584 + (36625*s[14])/1584 + (27011*s[15])/144 + 
       (175079*s[16])/792 + (285055*s[17])/1584 + (8759*s[18])/324 + 
       (8765*s[19])/648 + (1896971*s[20])/7128 + (1436587*s[21])/14256 - 
       (1012775*s[22])/14256 - (130219*s[23])/792 - (987205*s[24])/7128 + 
       (1499614*s[25])/8019 - (3450151*s[26])/32076 + s[36]/2 - 
       (7*s[37])/12 - 5*s[38] + (169*s[39])/8 - (189*s[40])/8 + 
       (149*s[41])/8 - (253*s[42])/8 - (1703*s[43])/88 + (2429*s[44])/176 - 
       (5069*s[45])/264 + (20095*s[46])/132 - (4979*s[47])/528 + 
       (3535*s[48])/528 + (33593*s[49])/528 - (1215*s[50])/11 - 
       (13217*s[51])/528 - (11863*s[52])/528 + (33107*s[53])/396 - 
       (2407*s[54])/66 + (90291*s[55])/176 + (229189*s[56])/1584 - 
       (178807*s[57])/1188 + (3444737*s[58])/14256 - (3516233*s[59])/14256 - 
       (3674713*s[60])/3168 + (2111321*s[61])/32076 - 4*s[79] + (5*s[80])/6 + 
       6*s[82]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*K1[w, u, v]*
      ((-41*s[4])/4 - (491*s[5])/88 - (1369*s[6])/88 - (6007*s[7])/44 + 
       (30823*s[8])/2376 + (25019*s[9])/216 + (6409*s[10])/216 + 
       (115073*s[11])/792 + (125371*s[12])/792 + (36823*s[13])/396 + 
       (1066*s[14])/99 + (13123*s[15])/72 + (21526*s[16])/99 + 
       (16663*s[17])/99 + (18451*s[18])/648 + (1069*s[19])/81 + 
       (932629*s[20])/3564 + (665939*s[21])/7128 - (250265*s[22])/3564 - 
       (20126*s[23])/99 - (469463*s[24])/3564 + (24255811*s[25])/128304 - 
       (13326031*s[26])/128304 + s[36]/2 - (7*s[37])/12 - 5*s[38] + 
       (169*s[39])/8 - (189*s[40])/8 + (149*s[41])/8 - (253*s[42])/8 - 
       (1703*s[43])/88 + (2429*s[44])/176 - (5069*s[45])/264 + 
       (20095*s[46])/132 - (4979*s[47])/528 + (3535*s[48])/528 + 
       (33593*s[49])/528 - (1215*s[50])/11 - (13217*s[51])/528 - 
       (11863*s[52])/528 + (33107*s[53])/396 - (2407*s[54])/66 + 
       (90291*s[55])/176 + (229189*s[56])/1584 - (178807*s[57])/1188 + 
       (3444737*s[58])/14256 - (3516233*s[59])/14256 - (3674713*s[60])/3168 + 
       (2111321*s[61])/32076 - 4*s[79] + (5*s[80])/6 + 6*s[82]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*Phi6[u, v, w]*
      (-3*s[3] + (9*s[4])/2 - (37*s[5])/44 + (136*s[6])/11 + (585*s[7])/44 - 
       (1025*s[8])/198 - (155*s[9])/9 + (809*s[10])/36 - (7243*s[11])/264 - 
       (15311*s[12])/264 - (4679*s[13])/132 - (947*s[14])/132 + 48*s[15] - 
       (881*s[16])/132 + (14285*s[17])/264 - (2053*s[18])/108 + 
       (1943*s[19])/54 - (5312*s[20])/297 + (3139*s[21])/1188 + 
       (7463*s[22])/594 + (41027*s[23])/264 - (93409*s[24])/2376 - 
       (113876*s[25])/2673 + (147155*s[26])/10692 + 2*s[36] + 8*s[37] - 
       21*s[39] + 29*s[40] - 21*s[41] + 36*s[42] + (151*s[43])/11 - 
       (1979*s[44])/88 + (119*s[45])/22 - (2317*s[46])/22 + 
       (4079*s[47])/264 + (1703*s[48])/264 - (14657*s[49])/264 + 
       (1363*s[50])/22 + (9199*s[51])/264 + (3451*s[52])/264 - 
       (1570*s[53])/33 + (1367*s[54])/22 - (66703*s[55])/264 - 
       (34955*s[56])/264 + (117367*s[57])/396 - (484339*s[58])/2376 + 
       (433489*s[59])/2376 + (1165031*s[60])/1584 - (973777*s[61])/21384 + 
       12*s[79] - 8*s[80] + 10*s[82]) + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      Phi6[u, v, w]*((33*s[4])/2 + (17*s[5])/4 + 27*s[6] + (4003*s[7])/24 - 
       (269*s[8])/12 - (1583*s[9])/12 - (185*s[10])/6 - (739*s[11])/4 - 
       (1637*s[12])/8 - (3227*s[13])/24 - (105*s[14])/8 - (5713*s[15])/24 - 
       (3295*s[16])/12 - (662*s[17])/3 - (175*s[18])/12 - (131*s[19])/4 - 
       (889*s[20])/3 - (6631*s[21])/72 + (6115*s[22])/72 + (5023*s[23])/24 + 
       (13975*s[24])/72 - (20696*s[25])/81 + (10022*s[26])/81 + 2*s[36] + 
       8*s[37] - 21*s[39] + 29*s[40] - 21*s[41] + 36*s[42] + (151*s[43])/11 - 
       (1979*s[44])/88 + (119*s[45])/22 - (2317*s[46])/22 + 
       (4079*s[47])/264 + (1703*s[48])/264 - (14657*s[49])/264 + 
       (1363*s[50])/22 + (9199*s[51])/264 + (3451*s[52])/264 - 
       (1570*s[53])/33 + (1367*s[54])/22 - (66703*s[55])/264 - 
       (34955*s[56])/264 + (117367*s[57])/396 - (484339*s[58])/2376 + 
       (433489*s[59])/2376 + (1165031*s[60])/1584 - (973777*s[61])/21384 + 
       12*s[79] - 8*s[80] + 10*s[82]) + H1[u, v, w]*HPL[{0, 1}, 1 - w]*
      (-7*s[3] - (131*s[4])/8 - (1719*s[5])/88 - (2139*s[6])/44 - 
       (47891*s[7])/176 + (7847*s[8])/396 + (15641*s[9])/72 + 
       (4105*s[10])/72 + (154813*s[11])/528 + (10454*s[12])/33 + 
       (94627*s[13])/528 + (35149*s[14])/528 + (17857*s[15])/48 + 
       (119099*s[16])/264 + (194785*s[17])/528 + (16327*s[18])/216 + 
       (2981*s[19])/216 + (1343609*s[20])/2376 + (1082857*s[21])/4752 - 
       (629603*s[22])/4752 - (53585*s[23])/132 - (77417*s[24])/297 + 
       (15559003*s[25])/42768 - (9808039*s[26])/42768 - (3*s[30])/2 + 
       (9*s[35])/2 + (3*s[36])/2 - (3*s[37])/4 - 9*s[38] + (149*s[39])/4 - 
       (147*s[40])/4 + (103*s[41])/4 - 51*s[42] - (1681*s[43])/44 + 
       (2605*s[44])/88 - (1785*s[45])/44 + (6669*s[46])/22 - 
       (1315*s[47])/88 - (281*s[48])/88 + (11865*s[49])/88 - 
       (8301*s[50])/44 - (9169*s[51])/264 - (2847*s[52])/88 + 
       (5219*s[53])/33 - (1623*s[54])/22 + (256969*s[55])/264 + 
       (80327*s[56])/264 - (26305*s[57])/99 + (1124977*s[58])/2376 - 
       (1137721*s[59])/2376 - (393053*s[60])/176 + (1632479*s[61])/10692 - 
       (3*s[68])/2 + (3*s[69])/2 + s[76] - (3*s[77])/2 - 3*s[78] + 6*s[79] - 
       2*s[80] + (27*s[82])/2) + H1[v, w, u]*HPL[{0, 1}, 1 - v]*
      ((-3*s[2])/2 - (39*s[4])/8 - (1499*s[5])/88 - (543*s[6])/11 - 
       (46835*s[7])/176 + (8705*s[8])/396 + (15977*s[9])/72 + 
       (4219*s[10])/72 + (156001*s[11])/528 + (42509*s[12])/132 + 
       (109675*s[13])/528 + (26041*s[14])/528 + (16345*s[15])/48 + 
       (114479*s[16])/264 + (177229*s[17])/528 + (10609*s[18])/216 + 
       (6341*s[19])/216 + (1202501*s[20])/2376 + (922213*s[21])/4752 - 
       (638975*s[22])/4752 - (40781*s[23])/132 - (172291*s[24])/594 + 
       (16201051*s[25])/42768 - (9218131*s[26])/42768 - s[31] + (9*s[33])/4 + 
       s[34] + (9*s[35])/2 + (3*s[36])/2 - (3*s[37])/4 - 9*s[38] + 
       (149*s[39])/4 - (147*s[40])/4 + (103*s[41])/4 - 51*s[42] - 
       (1681*s[43])/44 + (2605*s[44])/88 - (1785*s[45])/44 + 
       (6669*s[46])/22 - (1315*s[47])/88 - (281*s[48])/88 + 
       (11865*s[49])/88 - (8301*s[50])/44 - (9169*s[51])/264 - 
       (2847*s[52])/88 + (5219*s[53])/33 - (1623*s[54])/22 + 
       (256969*s[55])/264 + (80327*s[56])/264 - (26305*s[57])/99 + 
       (1124977*s[58])/2376 - (1137721*s[59])/2376 - (393053*s[60])/176 + 
       (1632479*s[61])/10692 - (3*s[68])/2 + (3*s[69])/2 + s[76] - 
       (3*s[77])/2 - 3*s[78] + 6*s[79] - 2*s[80] + (27*s[82])/2) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*Phi6[u, v, w]*
      ((-9*s[3])/2 + (9*s[4])/4 + (1355*s[5])/44 + (993*s[6])/44 + 
       (225427*s[7])/792 - (28297*s[8])/1188 - (14407*s[9])/54 - 
       (7915*s[10])/108 - (117083*s[11])/396 - (257561*s[12])/792 - 
       (34987*s[13])/264 - (132415*s[14])/792 - (3171*s[15])/8 - 
       (36011*s[16])/66 - (44497*s[17])/99 - (25855*s[18])/324 + 
       (895*s[19])/324 - (2657837*s[20])/3564 - (1744645*s[21])/7128 + 
       (1169303*s[22])/7128 + (96125*s[23])/264 + (1989791*s[24])/7128 - 
       (5418709*s[25])/16038 + (6171593*s[26])/32076 + (31*s[36])/3 + 
       (33*s[37])/2 - 28*s[38] - (47*s[39])/4 + (377*s[40])/12 - 
       (63*s[41])/4 + (661*s[42])/12 - (3677*s[43])/132 - (892*s[44])/33 - 
       (1203*s[45])/44 - (2441*s[46])/66 + (17663*s[47])/396 - 
       (7091*s[48])/198 + (19897*s[49])/396 + (569*s[50])/66 + 
       (5813*s[51])/198 - (1715*s[52])/396 - (2510*s[53])/99 + 
       (10855*s[54])/66 - (745*s[55])/66 - (78035*s[56])/396 + 
       (584333*s[57])/1188 - (502939*s[58])/3564 + (41722*s[59])/891 - 
       (134353*s[60])/594 - (4202039*s[61])/64152 + 2*s[71] + 28*s[79] - 
       33*s[80] + 94*s[82]) + HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      Phi6[u, v, w]*((27*s[4])/2 - (597*s[5])/22 + (739*s[6])/44 - 
       (58579*s[7])/264 - (27839*s[8])/594 + (6862*s[9])/27 + 
       (13727*s[10])/108 + (44081*s[11])/198 + (135211*s[12])/792 + 
       (70661*s[13])/792 + (103457*s[14])/792 + (28543*s[15])/72 + 
       (165463*s[16])/396 + (41278*s[17])/99 + (5383*s[18])/162 + 
       (25231*s[19])/324 + (1140335*s[20])/1782 + (1989089*s[21])/7128 - 
       (966139*s[22])/7128 + (165047*s[23])/792 - (2332003*s[24])/7128 + 
       (12899765*s[25])/64152 - (11680949*s[26])/64152 - 3*s[33] + 4*s[34] + 
       (31*s[36])/3 + (33*s[37])/2 - 28*s[38] - (47*s[39])/4 + 
       (377*s[40])/12 - (63*s[41])/4 + (661*s[42])/12 - (3677*s[43])/132 - 
       (892*s[44])/33 - (1203*s[45])/44 - (2441*s[46])/66 + 
       (17663*s[47])/396 - (7091*s[48])/198 + (19897*s[49])/396 + 
       (569*s[50])/66 + (5813*s[51])/198 - (1715*s[52])/396 - 
       (2510*s[53])/99 + (10855*s[54])/66 - (745*s[55])/66 - 
       (78035*s[56])/396 + (584333*s[57])/1188 - (502939*s[58])/3564 + 
       (41722*s[59])/891 - (134353*s[60])/594 - (4202039*s[61])/64152 + 
       2*s[71] + 28*s[79] - 33*s[80] + 94*s[82]) + 
     A10[u, v, w]*HPL[{1}, 1 - w]*((3*s[2])/2 - (85*s[3])/4 - (1839*s[4])/8 - 
       (1601*s[5])/44 - (21479*s[6])/88 - (1195081*s[7])/528 + 
       (735721*s[8])/2376 + (96149*s[9])/54 + (24325*s[10])/54 + 
       (4107553*s[11])/1584 + (607219*s[12])/198 + (2930251*s[13])/1584 - 
       (395963*s[14])/1584 + (393125*s[15])/144 + (1478797*s[16])/396 + 
       (3860095*s[17])/1584 + (59191*s[18])/162 + (244757*s[19])/648 + 
       (28252205*s[20])/7128 + (17659615*s[21])/14256 - 
       (16560287*s[22])/14256 - (1502219*s[23])/396 - (2081276*s[24])/891 + 
       (229451243*s[25])/64152 - (108904955*s[26])/64152 + 4*s[29] - 
       3*s[30] + 4*s[31] + s[32] - s[34] + 3*s[35] + 17*s[36] - 
       (27*s[37])/2 - 101*s[38] + (935*s[39])/2 - (993*s[40])/2 + 377*s[41] - 
       (1367*s[42])/2 - (7857*s[43])/22 + (36427*s[44])/88 - 
       (16073*s[45])/44 + (141145*s[46])/44 - (16339*s[47])/88 + 
       (2977*s[48])/88 + (155321*s[49])/88 - (26612*s[50])/11 - 
       (111445*s[51])/264 - (31829*s[52])/88 + (111367*s[53])/66 - 
       (321*s[54])/11 + (913079*s[55])/88 + (718637*s[56])/264 - 
       (1506787*s[57])/396 + (12366289*s[58])/2376 - (12504475*s[59])/2376 - 
       (13445225*s[60])/528 + (29026447*s[61])/21384 + 2*s[65] + 4*s[66] - 
       6*s[67] - 4*s[68] - 10*s[69] - 2*s[71] - 6*s[72] + 10*s[73] + 
       (9*s[74])/2 - (9*s[75])/2 + 2*s[76] + 3*s[77] - 14*s[78] - 8*s[79] + 
       7*s[80] - 36*s[82] - 3*s[83]) + A10[u, v, w]*HPL[{1}, 1 - v]*
      ((-21*s[2])/2 - (5*s[3])/4 - (1129*s[4])/8 - (2276*s[5])/11 - 
       (35903*s[6])/88 - (1807577*s[7])/528 + (524141*s[8])/2376 + 
       (158851*s[9])/54 + (103633*s[10])/108 + (5923277*s[11])/1584 + 
       (1574863*s[12])/396 + (3784763*s[13])/1584 + (1097537*s[14])/1584 + 
       (666469*s[15])/144 + (1156459*s[16])/198 + (7498955*s[17])/1584 + 
       (54733*s[18])/81 + (304705*s[19])/648 + (50064529*s[20])/7128 + 
       (39016919*s[21])/14256 - (25807891*s[22])/14256 - (340783*s[23])/99 - 
       (13198327*s[24])/3564 + (294389125*s[25])/64152 - 
       (173457673*s[26])/64152 - 6*s[31] - (15*s[33])/4 + 12*s[34] + 
       3*s[35] + 17*s[36] - (27*s[37])/2 - 101*s[38] + (935*s[39])/2 - 
       (993*s[40])/2 + 377*s[41] - (1367*s[42])/2 - (7857*s[43])/22 + 
       (36427*s[44])/88 - (16073*s[45])/44 + (141145*s[46])/44 - 
       (16339*s[47])/88 + (2977*s[48])/88 + (155321*s[49])/88 - 
       (26612*s[50])/11 - (111445*s[51])/264 - (31829*s[52])/88 + 
       (111367*s[53])/66 - (321*s[54])/11 + (913079*s[55])/88 + 
       (718637*s[56])/264 - (1506787*s[57])/396 + (12366289*s[58])/2376 - 
       (12504475*s[59])/2376 - (13445225*s[60])/528 + 
       (29026447*s[61])/21384 + 2*s[65] + 4*s[66] - 6*s[67] - 4*s[68] - 
       10*s[69] - 2*s[71] - 6*s[72] + 10*s[73] + (9*s[74])/2 - (9*s[75])/2 + 
       2*s[76] + 3*s[77] - 14*s[78] - 8*s[79] + 7*s[80] - 36*s[82] - 
       3*s[83]) + G[u, v, w]*HPL[{0, 1}, 1 - w]*(5*s[2] + (241*s[3])/4 + 
       (411*s[4])/8 + (1457*s[5])/22 + (14737*s[6])/88 + 
       (1503509*s[7])/1584 - (120445*s[8])/2376 - (83659*s[9])/108 - 
       (26213*s[10])/108 - (1698853*s[11])/1584 - (460769*s[12])/396 - 
       (1139315*s[13])/1584 - (363157*s[14])/1584 - (179467*s[15])/144 - 
       (1288195*s[16])/792 - (676865*s[17])/528 - (83015*s[18])/324 - 
       (58883*s[19])/648 - (13980323*s[20])/7128 - (11515327*s[21])/14256 + 
       (6719435*s[22])/14256 + (954311*s[23])/792 + (7203025*s[24])/7128 - 
       (84528875*s[25])/64152 + (52306013*s[26])/64152 + 2*s[29] + 2*s[31] + 
       s[32]/2 + 3*s[33] - 4*s[34] - 3*s[35] + (23*s[36])/6 + (28*s[37])/3 + 
       (63*s[38])/2 - (809*s[39])/8 + (2575*s[40])/24 - (471*s[41])/8 + 
       (3137*s[42])/24 + (1975*s[43])/24 - (3977*s[44])/48 + 
       (1229*s[45])/12 - (15695*s[46])/24 + (7699*s[47])/144 + 
       (1897*s[48])/144 - (48625*s[49])/144 + (1163*s[50])/3 + 
       (12917*s[51])/144 + (13739*s[52])/144 - (18793*s[53])/72 + 
       (2219*s[54])/12 - (81883*s[55])/48 - (34321*s[56])/48 + 
       (52463*s[57])/36 - (190373*s[58])/144 + (56245*s[59])/48 + 
       (4299739*s[60])/864 - (1384319*s[61])/3888 + 2*s[68] - s[69] + s[70] + 
       s[71]/2 - 2*s[73] + s[74] - s[75] - 8*s[76] + s[77] + 2*s[78] - 
       16*s[79] + (8*s[80])/3 + 18*s[82] + (3*s[83])/2) + 
     G[u, v, w]*HPL[{0, 1}, 1 - v]*(10*s[2] - s[3] + (9*s[4])/2 + 
       (309*s[5])/44 + (1921*s[6])/44 + (2457*s[7])/11 - (34907*s[8])/594 - 
       (19499*s[9])/108 + (4163*s[10])/108 - (32300*s[11])/99 - 
       (197185*s[12])/396 - (125969*s[13])/396 + (30193*s[14])/396 - 
       (89*s[15])/18 - (95075*s[16])/396 + (11857*s[17])/99 - 
       (18895*s[18])/324 + (13321*s[19])/324 - (261314*s[20])/891 - 
       (130225*s[21])/1782 + (107959*s[22])/891 + (226135*s[23])/396 + 
       (336035*s[24])/1782 - (15360905*s[25])/32076 + (6306635*s[26])/32076 - 
       3*s[29] + 5*s[31] + s[32]/2 + (3*s[33])/2 - 2*s[34] - 3*s[35] + 
       (23*s[36])/6 + (28*s[37])/3 + (63*s[38])/2 - (809*s[39])/8 + 
       (2575*s[40])/24 - (471*s[41])/8 + (3137*s[42])/24 + (1975*s[43])/24 - 
       (3977*s[44])/48 + (1229*s[45])/12 - (15695*s[46])/24 + 
       (7699*s[47])/144 + (1897*s[48])/144 - (48625*s[49])/144 + 
       (1163*s[50])/3 + (12917*s[51])/144 + (13739*s[52])/144 - 
       (18793*s[53])/72 + (2219*s[54])/12 - (81883*s[55])/48 - 
       (34321*s[56])/48 + (52463*s[57])/36 - (190373*s[58])/144 + 
       (56245*s[59])/48 + (4299739*s[60])/864 - (1384319*s[61])/3888 + 
       2*s[68] - s[69] + s[70] + s[71]/2 - 2*s[73] + s[74] - s[75] - 
       8*s[76] + s[77] + 2*s[78] - 16*s[79] + (8*s[80])/3 + 18*s[82] + 
       (3*s[83])/2) + A10[w, u, v]*HPL[{1}, 1 - w]*
      ((3*s[3])/2 - (67*s[4])/4 - (43*s[5])/22 - (1911*s[6])/44 - 
       (36691*s[7])/264 + (15769*s[8])/1188 + (3212*s[9])/27 - 
       (107*s[10])/27 + (126865*s[11])/792 + (18640*s[12])/99 + 
       (119131*s[13])/792 - (1427*s[14])/792 + (8255*s[15])/72 + 
       (64577*s[16])/396 + (64015*s[17])/792 + (3331*s[18])/81 - 
       (8371*s[19])/324 + (657167*s[20])/3564 + (617803*s[21])/7128 - 
       (494843*s[22])/7128 - (125791*s[23])/396 - (236461*s[24])/3564 + 
       (7005539*s[25])/32076 - (4100141*s[26])/32076 + 2*s[36] - 
       (9*s[37])/2 - 21*s[38] + (115*s[39])/2 - (127*s[40])/2 + 52*s[41] - 
       81*s[42] - (1169*s[43])/22 + (1653*s[44])/44 - (1817*s[45])/44 + 
       (14733*s[46])/44 - (1531*s[47])/44 + (603*s[48])/44 + 
       (7101*s[49])/44 - (2544*s[50])/11 - (9341*s[51])/132 - 
       (2621*s[52])/44 + (20851*s[53])/132 - (1577*s[54])/22 + 
       (126701*s[55])/132 + (39587*s[56])/132 - (128995*s[57])/198 + 
       (187513*s[58])/297 - (716977*s[59])/1188 - (166367*s[60])/66 + 
       (2786585*s[61])/21384 + s[71] - s[74] + s[75] - 8*s[79] - 3*s[80] + 
       36*s[82] + 3*s[83]) + A10[v, w, u]*HPL[{1}, 1 - v]*
      ((3*s[3])/2 - (141*s[4])/4 - (587*s[5])/44 - (839*s[6])/22 - 
       (121967*s[7])/264 + (22687*s[8])/594 + (42955*s[9])/108 + 
       (10991*s[10])/108 + (398471*s[11])/792 + (224363*s[12])/396 + 
       (275075*s[13])/792 + (19541*s[14])/792 + (41713*s[15])/72 + 
       (285535*s[16])/396 + (404711*s[17])/792 + (26993*s[18])/324 + 
       (17725*s[19])/324 + (3125959*s[20])/3564 + (2116457*s[21])/7128 - 
       (1752955*s[22])/7128 - (234035*s[23])/396 - (1658999*s[24])/3564 + 
       (42419171*s[25])/64152 - (22127123*s[26])/64152 - (3*s[33])/2 + 
       2*s[34] + 2*s[36] - (9*s[37])/2 - 21*s[38] + (115*s[39])/2 - 
       (127*s[40])/2 + 52*s[41] - 81*s[42] - (1169*s[43])/22 + 
       (1653*s[44])/44 - (1817*s[45])/44 + (14733*s[46])/44 - 
       (1531*s[47])/44 + (603*s[48])/44 + (7101*s[49])/44 - (2544*s[50])/11 - 
       (9341*s[51])/132 - (2621*s[52])/44 + (20851*s[53])/132 - 
       (1577*s[54])/22 + (126701*s[55])/132 + (39587*s[56])/132 - 
       (128995*s[57])/198 + (187513*s[58])/297 - (716977*s[59])/1188 - 
       (166367*s[60])/66 + (2786585*s[61])/21384 + s[71] - s[74] + s[75] - 
       8*s[79] - 3*s[80] + 36*s[82] + 3*s[83]) + HPL[{0, 1}, 1 - v]*
      K1[v, w, u]*((-9*s[2])/2 - (7*s[3])/4 - (713*s[4])/8 - (1565*s[5])/22 - 
       (15451*s[6])/88 - (784913*s[7])/528 + (339479*s[8])/2376 + 
       (134417*s[9])/108 + (36007*s[10])/108 + (2642705*s[11])/1584 + 
       (373337*s[12])/198 + (1805699*s[13])/1584 + (165785*s[14])/1584 + 
       (268249*s[15])/144 + (484699*s[16])/198 + (2792171*s[17])/1584 + 
       (45575*s[18])/162 + (124543*s[19])/648 + (20251597*s[20])/7128 + 
       (14639015*s[21])/14256 - (11066359*s[22])/14256 - (194668*s[23])/99 - 
       (5592517*s[24])/3564 + (69373925*s[25])/32076 - 
       (37212029*s[26])/32076 + 3*s[29] - s[30] - s[31] + s[32]/2 + s[33] + 
       s[34] + 4*s[35] + (22*s[36])/3 - (49*s[37])/6 - (137*s[38])/2 + 
       267*s[39] - (847*s[40])/3 + (843*s[41])/4 - (4559*s[42])/12 - 
       (7214*s[43])/33 + (59359*s[44])/264 - (29657*s[45])/132 + 
       (240913*s[46])/132 - (93803*s[47])/792 + (19321*s[48])/792 + 
       (776585*s[49])/792 - (176039*s[50])/132 - (203557*s[51])/792 - 
       (172687*s[52])/792 + (186589*s[53])/198 - (12665*s[54])/132 + 
       (1542091*s[55])/264 + (139547*s[56])/88 - (219976*s[57])/99 + 
       (7129949*s[58])/2376 - (7177961*s[59])/2376 - (68322521*s[60])/4752 + 
       (5611675*s[61])/7128 + s[65]/2 + s[66] - 2*s[67] - 4*s[68] - 2*s[69] - 
       s[70] - s[71]/2 - 2*s[72] + 4*s[73] + (3*s[74])/2 - (3*s[75])/2 + 
       3*s[76] - 6*s[78] + 4*s[79] - (7*s[80])/3 + 9*s[82] - (3*s[83])/2 - 
       3*s[84]) + HPL[{0, 1}, 1 - w]*K1[u, v, w]*((-7*s[2])/2 - 
       (113*s[3])/4 - (933*s[4])/8 - (3749*s[5])/44 - (19013*s[6])/88 - 
       (2779351*s[7])/1584 + (343399*s[8])/2376 + (78431*s[9])/54 + 
       (11657*s[10])/27 + (3083425*s[11])/1584 + (424183*s[12])/198 + 
       (685825*s[13])/528 + (275545*s[14])/1584 + (37077*s[15])/16 + 
       (389021*s[16])/132 + (3567587*s[17])/1584 + (28295*s[18])/81 + 
       (161381*s[19])/648 + (24385085*s[20])/7128 + (18097891*s[21])/14256 - 
       (12873107*s[22])/14256 - (74366*s[23])/33 - (1662401*s[24])/891 + 
       (40059185*s[25])/16038 - (11077927*s[26])/8019 - s[30] - 2*s[31] - 
       s[32]/2 - 2*s[33] + 4*s[34] + 4*s[35] + (22*s[36])/3 - (49*s[37])/6 - 
       (137*s[38])/2 + 267*s[39] - (847*s[40])/3 + (843*s[41])/4 - 
       (4559*s[42])/12 - (7214*s[43])/33 + (59359*s[44])/264 - 
       (29657*s[45])/132 + (240913*s[46])/132 - (93803*s[47])/792 + 
       (19321*s[48])/792 + (776585*s[49])/792 - (176039*s[50])/132 - 
       (203557*s[51])/792 - (172687*s[52])/792 + (186589*s[53])/198 - 
       (12665*s[54])/132 + (1542091*s[55])/264 + (139547*s[56])/88 - 
       (219976*s[57])/99 + (7129949*s[58])/2376 - (7177961*s[59])/2376 - 
       (68322521*s[60])/4752 + (5611675*s[61])/7128 + s[65]/2 + s[66] - 
       2*s[67] - 4*s[68] - 2*s[69] - s[70] - s[71]/2 - 2*s[72] + 4*s[73] + 
       (3*s[74])/2 - (3*s[75])/2 + 3*s[76] - 6*s[78] + 4*s[79] - 
       (7*s[80])/3 + 9*s[82] - (3*s[83])/2 - 3*s[84]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*Phi6[u, v, w]*
      (-s[3] - (519*s[4])/8 - (7345*s[5])/176 - (1175*s[6])/11 - 
       (351233*s[7])/352 + (43627*s[8])/528 + (40493*s[9])/48 + 
       (3013*s[10])/12 + (24357*s[11])/22 + (432803*s[12])/352 + 
       (261769*s[13])/352 + (36163*s[14])/352 + (123839*s[15])/96 + 
       (18298*s[16])/11 + (217421*s[17])/176 + (13157*s[18])/72 + 
       (2623*s[19])/18 + (3103319*s[20])/1584 + (2207071*s[21])/3168 - 
       (1671191*s[22])/3168 - (421687*s[23])/352 - (3432779*s[24])/3168 + 
       (20329445*s[25])/14256 - (10907327*s[26])/14256 + s[32]/4 + 2*s[36] - 
       5*s[37] - (73*s[38])/2 + 149*s[39] - 170*s[40] + (523*s[41])/4 - 
       (861*s[42])/4 - (2789*s[43])/22 + (12475*s[44])/88 - 
       (12185*s[45])/88 + (98235*s[46])/88 - (9113*s[47])/176 - 
       (3569*s[48])/176 + (102579*s[49])/176 - (74881*s[50])/88 - 
       (80899*s[51])/528 - (10891*s[52])/88 + (25293*s[53])/44 - 
       (1655*s[54])/44 + (643343*s[55])/176 + (172537*s[56])/176 - 
       (155849*s[57])/132 + (2827687*s[58])/1584 - (2819479*s[59])/1584 - 
       (9620575*s[60])/1056 + (6731731*s[61])/14256 + s[74] - s[75] - 
       18*s[79] + 6*s[80] - 10*s[82] - s[83] - 2*s[84]) + 
     G[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*((17*s[3])/2 + (301*s[4])/4 + 
       (1383*s[5])/44 + (2525*s[6])/22 + (240073*s[7])/264 - 
       (27571*s[8])/297 - (81449*s[9])/108 - (19747*s[10])/108 - 
       (798559*s[11])/792 - (225815*s[12])/198 - (566221*s[13])/792 - 
       (19315*s[14])/792 - (81539*s[15])/72 - (573413*s[16])/396 - 
       (809851*s[17])/792 - (30317*s[18])/162 - (29873*s[19])/324 - 
       (5949539*s[20])/3564 - (4292743*s[21])/7128 + (3333617*s[22])/7128 + 
       (538591*s[23])/396 + (1593527*s[24])/1782 - (85615921*s[25])/64152 + 
       (45856297*s[26])/64152 + s[30] + s[32]/2 - (5*s[36])/2 + 
       (17*s[37])/6 + (91*s[38])/2 - (1311*s[39])/8 + (1435*s[40])/8 - 
       (1117*s[41])/8 + (1881*s[42])/8 + (12225*s[43])/88 - 
       (21751*s[44])/176 + (9461*s[45])/66 - (294929*s[46])/264 + 
       (41885*s[47])/528 - (15865*s[48])/528 - (285023*s[49])/528 + 
       (8944*s[50])/11 + (30257*s[51])/176 + (83557*s[52])/528 - 
       (453619*s[53])/792 + (17201*s[54])/132 - (632549*s[55])/176 - 
       (1597423*s[56])/1584 + (871319*s[57])/594 - (26964797*s[58])/14256 + 
       (26859227*s[59])/14256 + (27597937*s[60])/3168 - 
       (61432523*s[61])/128304 - s[71]/2 + 2*s[73] + 14*s[79] - (4*s[80])/3 - 
       33*s[82] - (3*s[83])/4 - (3*s[84])/2) + G[u, v, w]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*((5*s[3])/4 + (515*s[4])/8 + (235*s[5])/4 + 
       (993*s[6])/8 + (52477*s[7])/48 - (6017*s[8])/72 - (33937*s[9])/36 - 
       (4627*s[10])/18 - (57281*s[11])/48 - (15619*s[12])/12 - 
       (37591*s[13])/48 - (7097*s[14])/48 - (69073*s[15])/48 - 
       (42917*s[16])/24 - (22053*s[17])/16 - (23909*s[18])/108 - 
       (27011*s[19])/216 - (468283*s[20])/216 - (354695*s[21])/432 + 
       (248047*s[22])/432 + (32281*s[23])/24 + (245999*s[24])/216 - 
       (2926255*s[25])/1944 + (1673005*s[26])/1944 + s[32]/2 - (3*s[33])/4 - 
       (5*s[36])/2 + (17*s[37])/6 + (91*s[38])/2 - (1311*s[39])/8 + 
       (1435*s[40])/8 - (1117*s[41])/8 + (1881*s[42])/8 + (12225*s[43])/88 - 
       (21751*s[44])/176 + (9461*s[45])/66 - (294929*s[46])/264 + 
       (41885*s[47])/528 - (15865*s[48])/528 - (285023*s[49])/528 + 
       (8944*s[50])/11 + (30257*s[51])/176 + (83557*s[52])/528 - 
       (453619*s[53])/792 + (17201*s[54])/132 - (632549*s[55])/176 - 
       (1597423*s[56])/1584 + (871319*s[57])/594 - (26964797*s[58])/14256 + 
       (26859227*s[59])/14256 + (27597937*s[60])/3168 - 
       (61432523*s[61])/128304 - s[71]/2 + 2*s[73] + 14*s[79] - (4*s[80])/3 - 
       33*s[82] - (3*s[83])/4 - (3*s[84])/2) + F1[u, v, w]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*((21*s[3])/4 + (401*s[4])/8 + (639*s[5])/44 + 
       (4887*s[6])/88 + (95027*s[7])/176 - (5523*s[8])/88 - (1759*s[9])/4 - 
       (219*s[10])/2 - (106437*s[11])/176 - (61601*s[12])/88 - 
       (75301*s[13])/176 + (3997*s[14])/176 - (32359*s[15])/48 - 
       (77075*s[16])/88 - (103975*s[17])/176 - (631*s[18])/6 - 
       (1631*s[19])/24 - (259907*s[20])/264 - (175591*s[21])/528 + 
       (49069*s[22])/176 + (38287*s[23])/44 + (24099*s[24])/44 - 
       (483781*s[25])/594 + (490535*s[26])/1188 + s[32]/2 - s[36] + 
       (7*s[37])/2 + (49*s[38])/2 - (371*s[39])/4 + (407*s[40])/4 - 
       (305*s[41])/4 + (533*s[42])/4 + (3339*s[43])/44 - (6485*s[44])/88 + 
       (853*s[45])/11 - (27295*s[46])/44 + (12167*s[47])/264 - 
       (3739*s[48])/264 - (83141*s[49])/264 + (4975*s[50])/11 + 
       (8035*s[51])/88 + (22711*s[52])/264 - (41663*s[53])/132 + 
       (1159*s[54])/22 - (524849*s[55])/264 - (48593*s[56])/88 + 
       (112261*s[57])/132 - (836411*s[58])/792 + (835481*s[59])/792 + 
       (7698983*s[60])/1584 - (207913*s[61])/792 + 2*s[73] + 6*s[79] - 
       2*s[80] - 9*s[82] - (3*s[83])/4 - (3*s[84])/2) + 
     F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      ((5*s[3])/4 + (209*s[4])/8 + (1629*s[5])/44 + (6471*s[6])/88 + 
       (299557*s[7])/528 - (9529*s[8])/264 - (1474*s[9])/3 - (410*s[10])/3 - 
       (109605*s[11])/176 - (59203*s[12])/88 - (216179*s[13])/528 - 
       (19103*s[14])/176 - (35675*s[15])/48 - (247021*s[16])/264 - 
       (389365*s[17])/528 - (1072*s[18])/9 - (4441*s[19])/72 - 
       (906661*s[20])/792 - (240667*s[21])/528 + (471365*s[22])/1584 + 
       (21106*s[23])/33 + (118417*s[24])/198 - (455885*s[25])/594 + 
       (544633*s[26])/1188 + s[32]/2 - (3*s[33])/4 - s[36] + (7*s[37])/2 + 
       (49*s[38])/2 - (371*s[39])/4 + (407*s[40])/4 - (305*s[41])/4 + 
       (533*s[42])/4 + (3339*s[43])/44 - (6485*s[44])/88 + (853*s[45])/11 - 
       (27295*s[46])/44 + (12167*s[47])/264 - (3739*s[48])/264 - 
       (83141*s[49])/264 + (4975*s[50])/11 + (8035*s[51])/88 + 
       (22711*s[52])/264 - (41663*s[53])/132 + (1159*s[54])/22 - 
       (524849*s[55])/264 - (48593*s[56])/88 + (112261*s[57])/132 - 
       (836411*s[58])/792 + (835481*s[59])/792 + (7698983*s[60])/1584 - 
       (207913*s[61])/792 + 2*s[73] + 6*s[79] - 2*s[80] - 9*s[82] - 
       (3*s[83])/4 - (3*s[84])/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      Phi6[u, v, w]*((21*s[3])/4 + (401*s[4])/8 + (805*s[5])/44 + 
       (5055*s[6])/88 + (307955*s[7])/528 - (51817*s[8])/792 - 
       (17227*s[9])/36 - (2281*s[10])/18 - (342601*s[11])/528 - 
       (49045*s[12])/66 - (237251*s[13])/528 + (3863*s[14])/528 - 
       (11863*s[15])/16 - (31508*s[16])/33 - (116661*s[17])/176 - 
       (3092*s[18])/27 - (16379*s[19])/216 - (2583761*s[20])/2376 - 
       (1775551*s[21])/4752 + (1436195*s[22])/4752 + (59135*s[23])/66 + 
       (710657*s[24])/1188 - (18481667*s[25])/21384 + (9537179*s[26])/21384 + 
       s[32]/2 - s[36] + (13*s[37])/4 + 25*s[38] - (383*s[39])/4 + 
       (419*s[40])/4 - (317*s[41])/4 + (549*s[42])/4 + (3499*s[43])/44 - 
       (6865*s[44])/88 + (925*s[45])/11 - (29213*s[46])/44 + 
       (3869*s[47])/88 - (993*s[48])/88 - (29779*s[49])/88 + 
       (5396*s[50])/11 + (24329*s[51])/264 + (7525*s[52])/88 - 
       (3785*s[53])/11 + (943*s[54])/22 - (191481*s[55])/88 - 
       (51657*s[56])/88 + (35941*s[57])/44 - (97159*s[58])/88 + 
       (98089*s[59])/88 + (2782069*s[60])/528 - (667921*s[61])/2376 + 
       2*s[73] + 6*s[79] - 2*s[80] - 6*s[82] - (3*s[83])/4 - (3*s[84])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*Phi6[u, v, w]*
      ((5*s[3])/4 + (233*s[4])/8 + (1707*s[5])/44 + (6771*s[6])/88 + 
       (319219*s[7])/528 - (31577*s[8])/792 - (4700*s[9])/9 - 
       (2669*s[10])/18 - (350345*s[11])/528 - (23560*s[12])/33 - 
       (229507*s[13])/528 - (59321*s[14])/528 - (38729*s[15])/48 - 
       (66569*s[16])/66 - (141301*s[17])/176 - (3235*s[18])/27 - 
       (16327*s[19])/216 - (2901001*s[20])/2376 - (2289911*s[21])/4752 + 
       (1507651*s[22])/4752 + (21917*s[23])/33 + (774721*s[24])/1188 - 
       (17560021*s[25])/21384 + (10402681*s[26])/21384 + s[32]/2 - 
       (3*s[33])/4 - s[36] + (13*s[37])/4 + 25*s[38] - (383*s[39])/4 + 
       (419*s[40])/4 - (317*s[41])/4 + (549*s[42])/4 + (3499*s[43])/44 - 
       (6865*s[44])/88 + (925*s[45])/11 - (29213*s[46])/44 + 
       (3869*s[47])/88 - (993*s[48])/88 - (29779*s[49])/88 + 
       (5396*s[50])/11 + (24329*s[51])/264 + (7525*s[52])/88 - 
       (3785*s[53])/11 + (943*s[54])/22 - (191481*s[55])/88 - 
       (51657*s[56])/88 + (35941*s[57])/44 - (97159*s[58])/88 + 
       (98089*s[59])/88 + (2782069*s[60])/528 - (667921*s[61])/2376 + 
       2*s[73] + 6*s[79] - 2*s[80] - 6*s[82] - (3*s[83])/4 - (3*s[84])/2) + 
     F1[v, w, u]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      ((21*s[3])/4 + (401*s[4])/8 + (603*s[5])/44 + (4735*s[6])/88 + 
       (285077*s[7])/528 - (5575*s[8])/88 - (1763*s[9])/4 - (221*s[10])/2 - 
       (107325*s[11])/176 - (62555*s[12])/88 - (229567*s[13])/528 + 
       (5129*s[14])/176 - (31723*s[15])/48 - (231287*s[16])/264 - 
       (304385*s[17])/528 - (961*s[18])/9 - (4849*s[19])/72 - 
       (779191*s[20])/792 - (527605*s[21])/1584 + (49449*s[22])/176 + 
       (116261*s[23])/132 + (72139*s[24])/132 - (731332*s[25])/891 + 
       (739109*s[26])/1782 + s[32]/2 - s[36] + 3*s[37] + 25*s[38] - 
       (383*s[39])/4 + (419*s[40])/4 - (317*s[41])/4 + (549*s[42])/4 + 
       (3409*s[43])/44 - (6929*s[44])/88 + (824*s[45])/11 - 
       (27283*s[46])/44 + (11977*s[47])/264 - (2741*s[48])/264 - 
       (87763*s[49])/264 + (9987*s[50])/22 + (24511*s[51])/264 + 
       (22151*s[52])/264 - (40897*s[53])/132 + (729*s[54])/22 - 
       (513655*s[55])/264 - (47387*s[56])/88 + (123221*s[57])/132 - 
       (853405*s[58])/792 + (849259*s[59])/792 + (7742833*s[60])/1584 - 
       (203111*s[61])/792 + 2*s[73] + 6*s[79] - 2*s[80] - 6*s[82] - 
       (3*s[83])/4 - (3*s[84])/2) + F1[w, u, v]*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*((5*s[3])/4 + (233*s[4])/8 + (1505*s[5])/44 + 
       (6451*s[6])/88 + (98839*s[7])/176 - (10037*s[8])/264 - (1454*s[9])/3 - 
       (791*s[10])/6 - (109965*s[11])/176 - (60047*s[12])/88 - 
       (74029*s[13])/176 - (15991*s[14])/176 - (11617*s[15])/16 - 
       (81833*s[16])/88 - (126043*s[17])/176 - (1009*s[18])/9 - 
       (4813*s[19])/72 - (885187*s[20])/792 - (699029*s[21])/1584 + 
       (469021*s[22])/1584 + (28487*s[23])/44 + (237889*s[24])/396 - 
       (693305*s[25])/891 + (811357*s[26])/1782 + s[32]/2 - (3*s[33])/4 - 
       s[36] + 3*s[37] + 25*s[38] - (383*s[39])/4 + (419*s[40])/4 - 
       (317*s[41])/4 + (549*s[42])/4 + (3409*s[43])/44 - (6929*s[44])/88 + 
       (824*s[45])/11 - (27283*s[46])/44 + (11977*s[47])/264 - 
       (2741*s[48])/264 - (87763*s[49])/264 + (9987*s[50])/22 + 
       (24511*s[51])/264 + (22151*s[52])/264 - (40897*s[53])/132 + 
       (729*s[54])/22 - (513655*s[55])/264 - (47387*s[56])/88 + 
       (123221*s[57])/132 - (853405*s[58])/792 + (849259*s[59])/792 + 
       (7742833*s[60])/1584 - (203111*s[61])/792 + 2*s[73] + 6*s[79] - 
       2*s[80] - 6*s[82] - (3*s[83])/4 - (3*s[84])/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*K1[u, v, w]*((3*s[3])/4 - (3*s[4])/8 - 
       s[5]/2 + (29*s[6])/8 - (17*s[7])/16 + (21*s[8])/8 + (5*s[9])/4 + 
       s[10]/4 + (5*s[11])/16 + (3*s[12])/2 - (73*s[13])/16 - (71*s[14])/16 + 
       (41*s[15])/16 + (17*s[16])/8 - (25*s[17])/16 + 5*s[18] - 
       (31*s[19])/8 + (49*s[20])/8 + (101*s[21])/48 - (37*s[22])/48 - 
       (233*s[23])/8 + (193*s[24])/24 - (101*s[25])/108 + (55*s[26])/54 + 
       s[30] - s[32]/2 + s[35] + 2*s[36] - (14*s[37])/3 - 28*s[38] + 
       (245*s[39])/2 - (253*s[40])/2 + 95*s[41] - (359*s[42])/2 - 
       (175*s[43])/2 + (793*s[44])/8 - (925*s[45])/12 + (8893*s[46])/12 - 
       (1531*s[47])/24 + (821*s[48])/24 + (9973*s[49])/24 - (1097*s[50])/2 - 
       (2891*s[51])/24 - (2321*s[52])/24 + (27325*s[53])/72 - 
       (515*s[54])/12 + (54913*s[55])/24 + (44777*s[56])/72 - 
       (119173*s[57])/108 + (817135*s[58])/648 - (815137*s[59])/648 - 
       (834239*s[60])/144 + (1764841*s[61])/5832 + s[65]/2 + s[66] - 
       2*s[67] - 2*s[68] - 3*s[69] - s[71]/2 - 2*s[72] + 2*s[73] + s[74] - 
       s[75] - s[76] - 2*s[78] - 4*s[79] + (11*s[80])/3 + 2*s[82] - s[83]/2 - 
       s[84]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*K1[v, w, u]*
      ((-3*s[2])/2 - (7*s[3])/4 - (757*s[4])/8 - (209*s[5])/4 - 
       (1163*s[6])/8 - (62515*s[7])/48 + (29339*s[8])/216 + (29215*s[9])/27 + 
       (15415*s[10])/54 + (211247*s[11])/144 + (60127*s[12])/36 + 
       (145481*s[13])/144 + (5819*s[14])/144 + (235733*s[15])/144 + 
       (38701*s[16])/18 + (220481*s[17])/144 + (73823*s[18])/324 + 
       (122951*s[19])/648 + (1586119*s[20])/648 + (1115273*s[21])/1296 - 
       (882733*s[22])/1296 - (32327*s[23])/18 - (446767*s[24])/324 + 
       (11240629*s[25])/5832 - (5871877*s[26])/5832 + 2*s[29] - s[30] + 
       s[31] + s[32]/2 + s[33] + s[35] + 2*s[36] - (14*s[37])/3 - 28*s[38] + 
       (245*s[39])/2 - (253*s[40])/2 + 95*s[41] - (359*s[42])/2 - 
       (175*s[43])/2 + (793*s[44])/8 - (925*s[45])/12 + (8893*s[46])/12 - 
       (1531*s[47])/24 + (821*s[48])/24 + (9973*s[49])/24 - (1097*s[50])/2 - 
       (2891*s[51])/24 - (2321*s[52])/24 + (27325*s[53])/72 - 
       (515*s[54])/12 + (54913*s[55])/24 + (44777*s[56])/72 - 
       (119173*s[57])/108 + (817135*s[58])/648 - (815137*s[59])/648 - 
       (834239*s[60])/144 + (1764841*s[61])/5832 + s[65]/2 + s[66] - 
       2*s[67] - 2*s[68] - 3*s[69] - s[71]/2 - 2*s[72] + 2*s[73] + s[74] - 
       s[75] - s[76] - 2*s[78] - 4*s[79] + (11*s[80])/3 + 2*s[82] - s[83]/2 - 
       s[84]) + HPL[{1}, 1 - w]^2*K1[u, v, w]*((3*s[2])/4 - (31*s[3])/8 - 
       (665*s[4])/16 + (907*s[5])/88 - (2845*s[6])/176 - (247783*s[7])/1056 + 
       (76625*s[8])/1584 + (12143*s[9])/72 + (1295*s[10])/36 + 
       (291485*s[11])/1056 + (92233*s[12])/264 + (224299*s[13])/1056 - 
       (112855*s[14])/1056 + (26729*s[15])/96 + (51119*s[16])/132 + 
       (72585*s[17])/352 + (4585*s[18])/216 + (24649*s[19])/432 + 
       (1624195*s[20])/4752 + (554831*s[21])/9504 - (1128199*s[22])/9504 - 
       (142763*s[23])/264 - (71201*s[24])/297 + (18193501*s[25])/42768 - 
       (6689593*s[26])/42768 + s[29]/2 - s[30]/2 + s[31]/2 + s[32]/4 - 
       (5*s[33])/8 + s[35]/2 + (5*s[36])/2 - (25*s[37])/12 - (45*s[38])/4 + 
       (451*s[39])/8 - (487*s[40])/8 + (97*s[41])/2 - (171*s[42])/2 - 
       (3653*s[43])/88 + (581*s[44])/11 - (2357*s[45])/66 + 
       (96659*s[46])/264 - (5941*s[47])/264 + (268*s[48])/33 + 
       (56389*s[49])/264 - (25687*s[50])/88 - (4911*s[51])/88 - 
       (10193*s[52])/264 + (40291*s[53])/198 + (2801*s[54])/264 + 
       (13423*s[55])/11 + (235883*s[56])/792 - (1020347*s[57])/2376 + 
       (516548*s[58])/891 - (1084315*s[59])/1782 - (4671497*s[60])/1584 + 
       (18511685*s[61])/128304 + s[65]/4 + s[66] - s[67] - s[68]/2 - 
       2*s[69] - s[71]/4 - s[72] + 2*s[73] + (3*s[74])/4 - (3*s[75])/4 + 
       s[77] - 2*s[78] - 5*s[79] + (11*s[80])/6 - 3*s[82] - (3*s[83])/8 - 
       (3*s[84])/4) + HPL[{1}, 1 - v]^2*K1[v, w, u]*
      ((-7*s[2])/4 + (65*s[3])/8 - (95*s[4])/16 - (2935*s[5])/88 - 
       (8387*s[6])/176 - (437449*s[7])/1056 + (86923*s[8])/4752 + 
       (80413*s[9])/216 + (6917*s[10])/54 + (1400293*s[11])/3168 + 
       (176617*s[12])/396 + (827719*s[13])/3168 + (420745*s[14])/3168 + 
       (170105*s[15])/288 + (71351*s[16])/99 + (2008447*s[17])/3168 + 
       (52229*s[18])/648 + (70379*s[19])/1296 + (12812909*s[20])/14256 + 
       (10529539*s[21])/28512 - (6415799*s[22])/28512 - (127471*s[23])/396 - 
       (1625401*s[24])/3564 + (32935465*s[25])/64152 - 
       (21071755*s[26])/64152 - s[31] + s[32]/2 - (5*s[33])/8 + 2*s[34] + 
       s[35]/2 + (5*s[36])/2 - (25*s[37])/12 - (45*s[38])/4 + (451*s[39])/8 - 
       (487*s[40])/8 + (97*s[41])/2 - (171*s[42])/2 - (3653*s[43])/88 + 
       (581*s[44])/11 - (2357*s[45])/66 + (96659*s[46])/264 - 
       (5941*s[47])/264 + (268*s[48])/33 + (56389*s[49])/264 - 
       (25687*s[50])/88 - (4911*s[51])/88 - (10193*s[52])/264 + 
       (40291*s[53])/198 + (2801*s[54])/264 + (13423*s[55])/11 + 
       (235883*s[56])/792 - (1020347*s[57])/2376 + (516548*s[58])/891 - 
       (1084315*s[59])/1782 - (4671497*s[60])/1584 + 
       (18511685*s[61])/128304 + s[65]/4 + s[66] - s[67] - s[68]/2 - 
       2*s[69] - s[71]/4 - s[72] + 2*s[73] + (3*s[74])/4 - (3*s[75])/4 + 
       s[77] - 2*s[78] - 5*s[79] + (11*s[80])/6 - 3*s[82] - (3*s[83])/8 - 
       (3*s[84])/4) + F1[u, v, w]*HPL[{1}, 1 - w]^3*
      ((-3*s[2])/4 + (31*s[3])/8 + (2059*s[4])/48 - (911*s[5])/88 + 
       (9115*s[6])/528 + (256871*s[7])/1056 - (79405*s[8])/1584 - 
       (12613*s[9])/72 - (1321*s[10])/36 - (301241*s[11])/1056 - 
       (3967*s[12])/11 - (77089*s[13])/352 + (114655*s[14])/1056 - 
       (9219*s[15])/32 - (17621*s[16])/44 - (225991*s[17])/1056 - 
       (5075*s[18])/216 - (24557*s[19])/432 - (1689131*s[20])/4752 - 
       (595207*s[21])/9504 + (1168631*s[22])/9504 + (18455*s[23])/33 + 
       (585785*s[24])/2376 - (18756227*s[25])/42768 + (6959351*s[26])/42768 - 
       s[29]/2 + s[30]/2 - s[31]/2 - s[32]/4 + (5*s[33])/8 - s[35]/2 - 
       (5*s[36])/2 + (19*s[37])/12 + (133*s[38])/12 - (1381*s[39])/24 + 
       (1489*s[40])/24 - (299*s[41])/6 + (263*s[42])/3 + (11063*s[43])/264 - 
       (3499*s[44])/66 + (813*s[45])/22 - (99251*s[46])/264 + 
       (2075*s[47])/88 - (326*s[48])/33 - (18919*s[49])/88 + 
       (78941*s[50])/264 + (5055*s[51])/88 + (3547*s[52])/88 - 
       (41263*s[53])/198 - (643*s[54])/88 - (247963*s[55])/198 - 
       (245543*s[56])/792 + (1060259*s[57])/2376 - (1066705*s[58])/1782 + 
       (556748*s[59])/891 + (4775017*s[60])/1584 - (19275845*s[61])/128304 - 
       s[65]/4 - s[66] + s[67] + s[68]/2 + 2*s[69] + s[71]/4 + s[72] - 
       2*s[73] - (3*s[74])/4 + (3*s[75])/4 - s[77] + 2*s[78] + 5*s[79] - 
       (11*s[80])/6 + 3*s[82] + (3*s[83])/8 + (3*s[84])/4) + 
     F1[u, v, w]*HPL[{1}, 1 - v]^3*((7*s[2])/4 - (65*s[3])/8 + (95*s[4])/16 + 
       (9013*s[5])/264 + (26005*s[6])/528 + (447769*s[7])/1056 - 
       (88927*s[8])/4752 - (82291*s[9])/216 - (7073*s[10])/54 - 
       (1431409*s[11])/3168 - (360905*s[12])/792 - (845983*s[13])/3168 - 
       (435409*s[14])/3168 - (173753*s[15])/288 - (145813*s[16])/198 - 
       (2051899*s[17])/3168 - (54851*s[18])/648 - (68879*s[19])/1296 - 
       (13123349*s[20])/14256 - (10834411*s[21])/28512 + 
       (6567191*s[22])/28512 + (262511*s[23])/792 + (3310223*s[24])/7128 - 
       (4199897*s[25])/8019 + (10817297*s[26])/32076 + s[31] - s[32]/2 + 
       (5*s[33])/8 - 2*s[34] - s[35]/2 - (5*s[36])/2 + (19*s[37])/12 + 
       (133*s[38])/12 - (1381*s[39])/24 + (1489*s[40])/24 - (299*s[41])/6 + 
       (263*s[42])/3 + (11063*s[43])/264 - (3499*s[44])/66 + (813*s[45])/22 - 
       (99251*s[46])/264 + (2075*s[47])/88 - (326*s[48])/33 - 
       (18919*s[49])/88 + (78941*s[50])/264 + (5055*s[51])/88 + 
       (3547*s[52])/88 - (41263*s[53])/198 - (643*s[54])/88 - 
       (247963*s[55])/198 - (245543*s[56])/792 + (1060259*s[57])/2376 - 
       (1066705*s[58])/1782 + (556748*s[59])/891 + (4775017*s[60])/1584 - 
       (19275845*s[61])/128304 - s[65]/4 - s[66] + s[67] + s[68]/2 + 
       2*s[69] + s[71]/4 + s[72] - 2*s[73] - (3*s[74])/4 + (3*s[75])/4 - 
       s[77] + 2*s[78] + 5*s[79] - (11*s[80])/6 + 3*s[82] + (3*s[83])/8 + 
       (3*s[84])/4) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*Phi6[u, v, w]*
      ((-3*s[2])/4 + (31*s[3])/8 + (665*s[4])/16 - (1195*s[5])/88 + 
       (2509*s[6])/176 + (215719*s[7])/1056 - (74561*s[8])/1584 - 
       (10223*s[9])/72 - (851*s[10])/36 - (262637*s[11])/1056 - 
       (86521*s[12])/264 - (214891*s[13])/1056 + (127879*s[14])/1056 - 
       (21017*s[15])/96 - (43565*s[16])/132 - (50073*s[17])/352 - 
       (3625*s[18])/216 - (21241*s[19])/432 - (1273819*s[20])/4752 - 
       (286511*s[21])/9504 + (984823*s[22])/9504 + (139619*s[23])/264 + 
       (119725*s[24])/594 - (16881349*s[25])/42768 + (5769913*s[26])/42768 - 
       s[29]/2 + s[30]/2 - s[31]/2 - s[32]/4 + (5*s[33])/8 - s[35]/2 - 
       (5*s[36])/2 + (13*s[37])/12 + (45*s[38])/4 - (451*s[39])/8 + 
       (487*s[40])/8 - (97*s[41])/2 + (171*s[42])/2 + (319*s[43])/8 - 
       52*s[44] + (175*s[45])/6 - (8041*s[46])/24 + (563*s[47])/24 - 
       (23*s[48])/3 - (4967*s[49])/24 + (2117*s[50])/8 + (453*s[51])/8 + 
       (931*s[52])/24 - (3203*s[53])/18 - (307*s[54])/24 - 1052*s[55] - 
       (19225*s[56])/72 + (111721*s[57])/216 - (45649*s[58])/81 + 
       (93701*s[59])/162 + (384211*s[60])/144 - (1491943*s[61])/11664 - 
       s[65]/4 - s[66] + s[67] + s[68]/2 + 2*s[69] + s[71]/4 + s[72] - 
       2*s[73] - (3*s[74])/4 + (3*s[75])/4 - s[77] + 2*s[78] + 5*s[79] - 
       (11*s[80])/6 + 3*s[82] + (3*s[83])/8 + (3*s[84])/4) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*Phi6[u, v, w]*
      ((7*s[2])/4 - (65*s[3])/8 + (95*s[4])/16 + (2647*s[5])/88 + 
       (8051*s[6])/176 + (404857*s[7])/1056 - (79147*s[8])/4752 - 
       (74581*s[9])/216 - (6269*s[10])/54 - (1312165*s[11])/3168 - 
       (167653*s[12])/396 - (796327*s[13])/3168 - (374089*s[14])/3168 - 
       (153257*s[15])/288 - (131371*s[16])/198 - (1807423*s[17])/3168 - 
       (49421*s[18])/648 - (60443*s[19])/1296 - (11760989*s[20])/14256 - 
       (9727747*s[21])/28512 + (5984087*s[22])/28512 + (124141*s[23])/396 + 
       (1491319*s[24])/3564 - (30910213*s[25])/64152 + 
       (19674415*s[26])/64152 + s[31] - s[32]/2 + (5*s[33])/8 - 2*s[34] - 
       s[35]/2 - (5*s[36])/2 + (13*s[37])/12 + (45*s[38])/4 - (451*s[39])/8 + 
       (487*s[40])/8 - (97*s[41])/2 + (171*s[42])/2 + (319*s[43])/8 - 
       52*s[44] + (175*s[45])/6 - (8041*s[46])/24 + (563*s[47])/24 - 
       (23*s[48])/3 - (4967*s[49])/24 + (2117*s[50])/8 + (453*s[51])/8 + 
       (931*s[52])/24 - (3203*s[53])/18 - (307*s[54])/24 - 1052*s[55] - 
       (19225*s[56])/72 + (111721*s[57])/216 - (45649*s[58])/81 + 
       (93701*s[59])/162 + (384211*s[60])/144 - (1491943*s[61])/11664 - 
       s[65]/4 - s[66] + s[67] + s[68]/2 + 2*s[69] + s[71]/4 + s[72] - 
       2*s[73] - (3*s[74])/4 + (3*s[75])/4 - s[77] + 2*s[78] + 5*s[79] - 
       (11*s[80])/6 + 3*s[82] + (3*s[83])/8 + (3*s[84])/4) + 
     F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      ((-3*s[2])/4 + (31*s[3])/8 + (613*s[4])/16 - (93*s[5])/8 + 
       (247*s[6])/16 + (19529*s[7])/96 - (6187*s[8])/144 - (10253*s[9])/72 - 
       (1025*s[10])/36 - (23719*s[11])/96 - (3853*s[12])/12 - 
       (19373*s[13])/96 + (9977*s[14])/96 - (21725*s[15])/96 - 
       (4009*s[16])/12 - (5019*s[17])/32 - (3163*s[18])/216 - 
       (22849*s[19])/432 - (121649*s[20])/432 - (35977*s[21])/864 + 
       (89201*s[22])/864 + (5693*s[23])/12 + (45953*s[24])/216 - 
       (1496345*s[25])/3888 + (534569*s[26])/3888 - s[29]/2 + s[30]/2 - 
       s[31]/2 - s[32]/4 + (5*s[33])/8 - s[35]/2 - (5*s[36])/2 + 
       (7*s[37])/12 + (45*s[38])/4 - (425*s[39])/8 + (461*s[40])/8 - 
       (181*s[41])/4 + (317*s[42])/4 + (3463*s[43])/88 - (4531*s[44])/88 + 
       (3937*s[45])/132 - (87743*s[46])/264 + (1237*s[47])/66 - 
       (35*s[48])/264 - (27629*s[49])/132 + (23195*s[50])/88 + 
       (2173*s[51])/44 + (4591*s[52])/132 - (34819*s[53])/198 - 
       (4529*s[54])/264 - (281093*s[55])/264 - (52421*s[56])/198 + 
       (1058831*s[57])/2376 - (3869233*s[58])/7128 + (4015465*s[59])/7128 + 
       (2143465*s[60])/792 - (16395677*s[61])/128304 - s[65]/4 - s[66] + 
       s[67] + s[68]/2 + 2*s[69] + s[71]/4 + s[72] - 2*s[73] - (3*s[74])/4 + 
       (3*s[75])/4 - s[77] + 2*s[78] + 5*s[79] - (11*s[80])/6 + 6*s[82] + 
       (3*s[83])/8 + (3*s[84])/4) + F1[v, w, u]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*((7*s[2])/4 - (65*s[3])/8 + (95*s[4])/16 + 
       (2533*s[5])/88 + (7555*s[6])/176 + (401977*s[7])/1056 - 
       (79435*s[8])/4752 - (73465*s[9])/216 - (12691*s[10])/108 - 
       (1305001*s[11])/3168 - (335783*s[12])/792 - (793735*s[13])/3168 - 
       (363937*s[14])/3168 - (152465*s[15])/288 - (262067*s[16])/396 - 
       (1791475*s[17])/3168 - (47513*s[18])/648 - (66095*s[19])/1296 - 
       (11711993*s[20])/14256 - (9577483*s[21])/28512 + 
       (5931671*s[22])/28512 + (242189*s[23])/792 + (3015857*s[24])/7128 - 
       (30810799*s[25])/64152 + (19417699*s[26])/64152 + s[31] - s[32]/2 + 
       (5*s[33])/8 - 2*s[34] - s[35]/2 - (5*s[36])/2 + (7*s[37])/12 + 
       (45*s[38])/4 - (425*s[39])/8 + (461*s[40])/8 - (181*s[41])/4 + 
       (317*s[42])/4 + (3463*s[43])/88 - (4531*s[44])/88 + (3937*s[45])/132 - 
       (87743*s[46])/264 + (1237*s[47])/66 - (35*s[48])/264 - 
       (27629*s[49])/132 + (23195*s[50])/88 + (2173*s[51])/44 + 
       (4591*s[52])/132 - (34819*s[53])/198 - (4529*s[54])/264 - 
       (281093*s[55])/264 - (52421*s[56])/198 + (1058831*s[57])/2376 - 
       (3869233*s[58])/7128 + (4015465*s[59])/7128 + (2143465*s[60])/792 - 
       (16395677*s[61])/128304 - s[65]/4 - s[66] + s[67] + s[68]/2 + 
       2*s[69] + s[71]/4 + s[72] - 2*s[73] - (3*s[74])/4 + (3*s[75])/4 - 
       s[77] + 2*s[78] + 5*s[79] - (11*s[80])/6 + 6*s[82] + (3*s[83])/8 + 
       (3*s[84])/4) + G[u, v, w]*HPL[{1}, 1 - w]^2*
      ((-3*s[2])/2 + (31*s[3])/8 + (491*s[4])/16 - (2075*s[5])/88 - 
       (1165*s[6])/176 + (1543*s[7])/352 - (157705*s[8])/4752 + 
       (904*s[9])/27 + (2297*s[10])/108 - (98233*s[11])/3168 - 
       (68207*s[12])/792 - (186127*s[13])/3168 + (466379*s[14])/3168 + 
       (8023*s[15])/288 - (14869*s[16])/792 + (263177*s[17])/3168 + 
       (19525*s[18])/648 - (47045*s[19])/1296 + (1833049*s[20])/14256 + 
       (3321941*s[21])/28512 - (61885*s[22])/28512 + (217997*s[23])/792 + 
       (37049*s[24])/7128 - (15371447*s[25])/128304 - 
       (2640829*s[26])/128304 - s[29]/2 + s[30]/2 - s[31] - s[32]/4 + 
       s[33]/4 - s[35]/2 - (7*s[36])/4 + (19*s[37])/12 + (3*s[38])/2 - 
       (457*s[39])/16 + (485*s[40])/16 - (401*s[41])/16 + (745*s[42])/16 + 
       (2559*s[43])/176 - (12459*s[44])/352 + (335*s[45])/66 - 
       (84439*s[46])/528 + (7549*s[47])/1056 - (965*s[48])/1056 - 
       (134143*s[49])/1056 + (13075*s[50])/88 + (8529*s[51])/352 + 
       (5741*s[52])/1056 - (152327*s[53])/1584 - (1882*s[54])/33 - 
       (576803*s[55])/1056 - (328391*s[56])/3168 + (515519*s[57])/2376 - 
       (7047577*s[58])/28512 + (7883767*s[59])/28512 + (8712689*s[60])/6336 - 
       (13450813*s[61])/256608 - s[65]/4 - s[66] + s[67] + s[68]/2 + 
       2*s[69] + s[71]/2 + s[72] - 2*s[73] - (3*s[74])/4 + (3*s[75])/4 + 
       s[76]/2 - s[77] + 2*s[78] + 3*s[79] - (17*s[80])/6 + (33*s[82])/2 + 
       (3*s[83])/8 + (3*s[84])/4) + G[u, v, w]*HPL[{1}, 1 - v]^2*
      ((7*s[2])/4 - (25*s[3])/2 - (53*s[4])/8 + (2441*s[5])/88 + 
       (937*s[6])/44 + (35935*s[7])/132 - (1555*s[8])/264 - (1541*s[9])/6 - 
       (2539*s[10])/24 - (50407*s[11])/176 - (24139*s[12])/88 - 
       (77189*s[13])/528 - (21661*s[14])/176 - (4951*s[15])/12 - 
       (264347*s[16])/528 - (246511*s[17])/528 - (929*s[18])/18 - 
       (383*s[19])/9 - (258179*s[20])/396 - (146213*s[21])/528 + 
       (245771*s[22])/1584 + (59809*s[23])/528 + (508445*s[24])/1584 - 
       (362251*s[25])/1188 + (508727*s[26])/2376 - s[30] + s[31] - s[32]/2 + 
       (5*s[33])/8 - 2*s[34] - s[35]/2 - (7*s[36])/4 + (19*s[37])/12 + 
       (3*s[38])/2 - (457*s[39])/16 + (485*s[40])/16 - (401*s[41])/16 + 
       (745*s[42])/16 + (2559*s[43])/176 - (12459*s[44])/352 + 
       (335*s[45])/66 - (84439*s[46])/528 + (7549*s[47])/1056 - 
       (965*s[48])/1056 - (134143*s[49])/1056 + (13075*s[50])/88 + 
       (8529*s[51])/352 + (5741*s[52])/1056 - (152327*s[53])/1584 - 
       (1882*s[54])/33 - (576803*s[55])/1056 - (328391*s[56])/3168 + 
       (515519*s[57])/2376 - (7047577*s[58])/28512 + (7883767*s[59])/28512 + 
       (8712689*s[60])/6336 - (13450813*s[61])/256608 - s[65]/4 - s[66] + 
       s[67] + s[68]/2 + 2*s[69] + s[71]/2 + s[72] - 2*s[73] - (3*s[74])/4 + 
       (3*s[75])/4 + s[76]/2 - s[77] + 2*s[78] + 3*s[79] - (17*s[80])/6 + 
       (33*s[82])/2 + (3*s[83])/8 + (3*s[84])/4) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Phi6[u, v, w]*
      ((3*s[2])/2 - (17*s[3])/8 + (1607*s[4])/16 + (5765*s[5])/88 + 
       (27745*s[6])/176 + (4697917*s[7])/3168 - (237037*s[8])/1584 - 
       (89467*s[9])/72 - (6077*s[10])/18 - (1750565*s[11])/1056 - 
       (989827*s[12])/528 - (3542483*s[13])/3168 - (96359*s[14])/1056 - 
       (543475*s[15])/288 - (3902881*s[16])/1584 - (5650705*s[17])/3168 - 
       (28925*s[18])/108 - (89467*s[19])/432 - (13538857*s[20])/4752 - 
       (3180919*s[21])/3168 + (7414265*s[22])/9504 + (197792*s[23])/99 + 
       (3731663*s[24])/2376 - (5127839*s[25])/2376 + (2704439*s[26])/2376 - 
       2*s[29] + s[30]/2 - s[31] - s[32]/2 - s[33] - s[35] - (5*s[36])/12 + 
       (47*s[37])/8 + 32*s[38] - (2207*s[39])/16 + (6953*s[40])/48 - 
       (1743*s[41])/16 + (9745*s[42])/48 + (50923*s[43])/528 - 
       (118595*s[44])/1056 + (16861*s[45])/176 - (232325*s[46])/264 + 
       (223627*s[47])/3168 - (114095*s[48])/3168 - (1484881*s[49])/3168 + 
       (174167*s[50])/264 + (431705*s[51])/3168 + (339989*s[52])/3168 - 
       (361957*s[53])/792 + (15091*s[54])/264 - (984113*s[55])/352 - 
       (2430451*s[56])/3168 + (1436141*s[57])/1188 - (41865095*s[58])/28512 + 
       (41788127*s[59])/28512 + (132135205*s[60])/19008 - 
       (47212579*s[61])/128304 - s[65]/2 - s[66] + 2*s[67] + 2*s[68] + 
       3*s[69] + s[71]/2 + 2*s[72] - 2*s[73] - s[74] + s[75] + (3*s[76])/2 + 
       2*s[78] + 11*s[79] - (23*s[80])/4 + 7*s[82] + s[83]/2 + s[84]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Phi6[u, v, w]*
      ((-3*s[2])/4 - (3*s[3])/4 + (17*s[4])/2 + (271*s[5])/176 + 
       (1039*s[6])/176 + (40783*s[7])/528 - (56189*s[8])/4752 - 
       (27613*s[9])/432 - (6461*s[10])/432 - (66353*s[11])/792 - 
       (150803*s[12])/1584 - (87649*s[13])/1584 + (11723*s[14])/1584 - 
       (950*s[15])/9 - (49663*s[16])/396 - (146383*s[17])/1584 - 
       (15119*s[18])/1296 - (8207*s[19])/648 - (490003*s[20])/3564 - 
       (298655*s[21])/7128 + (565529*s[22])/14256 + (55817*s[23])/396 + 
       (544747*s[24])/7128 - (29891771*s[25])/256608 + 
       (14324831*s[26])/256608 - s[30] - s[31]/2 + s[32]/2 - (3*s[33])/8 - 
       s[35] - (5*s[36])/12 + (47*s[37])/8 + 32*s[38] - (2207*s[39])/16 + 
       (6953*s[40])/48 - (1743*s[41])/16 + (9745*s[42])/48 + 
       (50923*s[43])/528 - (118595*s[44])/1056 + (16861*s[45])/176 - 
       (232325*s[46])/264 + (223627*s[47])/3168 - (114095*s[48])/3168 - 
       (1484881*s[49])/3168 + (174167*s[50])/264 + (431705*s[51])/3168 + 
       (339989*s[52])/3168 - (361957*s[53])/792 + (15091*s[54])/264 - 
       (984113*s[55])/352 - (2430451*s[56])/3168 + (1436141*s[57])/1188 - 
       (41865095*s[58])/28512 + (41788127*s[59])/28512 + 
       (132135205*s[60])/19008 - (47212579*s[61])/128304 - s[65]/2 - s[66] + 
       2*s[67] + 2*s[68] + 3*s[69] + s[71]/2 + 2*s[72] - 2*s[73] - s[74] + 
       s[75] + (3*s[76])/2 + 2*s[78] + 11*s[79] - (23*s[80])/4 + 7*s[82] + 
       s[83]/2 + s[84]) + F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*((67*s[4])/4 + (1237*s[5])/88 + (607*s[6])/88 + 
       (74281*s[7])/264 - (66887*s[8])/2376 - (50485*s[9])/216 - 
       (19715*s[10])/216 - (117245*s[11])/396 - (246263*s[12])/792 - 
       (132733*s[13])/792 - (9745*s[14])/792 - (7787*s[15])/18 - 
       (98293*s[16])/198 - (331813*s[17])/792 - (20975*s[18])/648 - 
       (12823*s[19])/162 - (2040689*s[20])/3564 - (661289*s[21])/3564 + 
       (1041041*s[22])/7128 + (109063*s[23])/396 + (1255399*s[24])/3564 - 
       (49522793*s[25])/128304 + (24887957*s[26])/128304 - s[30] + s[32]/2 - 
       s[35] - 4*s[36] + (37*s[37])/12 + (55*s[38])/2 - (495*s[39])/4 + 
       (507*s[40])/4 - 94*s[41] + 180*s[42] + (3953*s[43])/44 - 
       (4501*s[44])/44 + (22283*s[45])/264 - (208367*s[46])/264 + 
       (1317*s[47])/22 - (1447*s[48])/44 - (4929*s[49])/11 + 
       (6668*s[50])/11 + (3733*s[51])/33 + (1007*s[52])/11 - 
       (167795*s[53])/396 + (811*s[54])/66 - (56291*s[55])/22 - 
       (252787*s[56])/396 + (276736*s[57])/297 - (9058447*s[58])/7128 + 
       (4639343*s[59])/3564 + (10048141*s[60])/1584 - 
       (40944515*s[61])/128304 - s[65]/2 - s[66] + 2*s[67] + 2*s[68] + 
       3*s[69] + s[71] + 2*s[72] - 2*s[73] - s[74] + s[75] + s[76] + 
       2*s[78] + 2*s[79] - (23*s[80])/6 + 16*s[82] + s[83]/2 + s[84]) + 
     F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      ((3*s[2])/2 + s[3] + (309*s[4])/4 + (1093*s[5])/22 + (5457*s[6])/44 + 
       (98145*s[7])/88 - (11779*s[8])/99 - (33305*s[9])/36 - (2224*s[10])/9 - 
       (41609*s[11])/33 - (47413*s[12])/33 - (57097*s[13])/66 - 
       (4871*s[14])/132 - (33521*s[15])/24 - (490057*s[16])/264 - 
       (43691*s[17])/33 - (21433*s[18])/108 - (17783*s[19])/108 - 
       (2495831*s[20])/1188 - (221663*s[21])/297 + (692683*s[22])/1188 + 
       (403475*s[23])/264 + (2818601*s[24])/2376 - (8831125*s[25])/5346 + 
       (9252821*s[26])/10692 - 2*s[29] + s[30] - s[31] - s[32]/2 - 
       (7*s[33])/4 + s[34] - s[35] - 4*s[36] + (37*s[37])/12 + (55*s[38])/2 - 
       (495*s[39])/4 + (507*s[40])/4 - 94*s[41] + 180*s[42] + 
       (3953*s[43])/44 - (4501*s[44])/44 + (22283*s[45])/264 - 
       (208367*s[46])/264 + (1317*s[47])/22 - (1447*s[48])/44 - 
       (4929*s[49])/11 + (6668*s[50])/11 + (3733*s[51])/33 + 
       (1007*s[52])/11 - (167795*s[53])/396 + (811*s[54])/66 - 
       (56291*s[55])/22 - (252787*s[56])/396 + (276736*s[57])/297 - 
       (9058447*s[58])/7128 + (4639343*s[59])/3564 + (10048141*s[60])/1584 - 
       (40944515*s[61])/128304 - s[65]/2 - s[66] + 2*s[67] + 2*s[68] + 
       3*s[69] + s[71] + 2*s[72] - 2*s[73] - s[74] + s[75] + s[76] + 
       2*s[78] + 2*s[79] - (23*s[80])/6 + 16*s[82] + s[83]/2 + s[84]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*K1[v, w, u]*((-21*s[3])/4 - 
       (401*s[4])/8 - (625*s[5])/44 - (4845*s[6])/88 - (287585*s[7])/528 + 
       (50197*s[8])/792 + (4003*s[9])/9 + (2011*s[10])/18 + 
       (324241*s[11])/528 + (94355*s[12])/132 + (230711*s[13])/528 - 
       (13583*s[14])/528 + (10693*s[15])/16 + (233179*s[16])/264 + 
       (102701*s[17])/176 + (11783*s[18])/108 + (14309*s[19])/216 + 
       (2364611*s[20])/2376 + (1608511*s[21])/4752 - (1345331*s[22])/4752 - 
       (233633*s[23])/264 - (1307005*s[24])/2376 + (17647745*s[25])/21384 - 
       (8964887*s[26])/21384 - s[32]/2 + s[36] - 2*s[37] - 25*s[38] + 
       (383*s[39])/4 - (419*s[40])/4 + (317*s[41])/4 - (549*s[42])/4 - 
       (3409*s[43])/44 + (6775*s[44])/88 - (835*s[45])/11 + 
       (27503*s[46])/44 - (4051*s[47])/88 + (943*s[48])/88 + 
       (29049*s[49])/88 - (5021*s[50])/11 - (24599*s[51])/264 - 
       (7567*s[52])/88 + (13735*s[53])/44 - (883*s[54])/22 + 
       (172861*s[55])/88 + (48267*s[56])/88 - (40773*s[57])/44 + 
       (95385*s[58])/88 - (94631*s[59])/88 - (2597195*s[60])/528 + 
       (620135*s[61])/2376 - 2*s[73] - 6*s[79] + 2*s[80] + 6*s[82] + 
       (3*s[83])/4 + (3*s[84])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      K1[u, v, w]*((-5*s[3])/4 - (233*s[4])/8 - (1527*s[5])/44 - 
       (6561*s[6])/88 - (299641*s[7])/528 + (30749*s[8])/792 + 
       (17621*s[9])/36 + (2381*s[10])/18 + (332777*s[11])/528 + 
       (90901*s[12])/132 + (224551*s[13])/528 + (50393*s[14])/528 + 
       (35135*s[15])/48 + (247391*s[16])/264 + (127077*s[17])/176 + 
       (12319*s[18])/108 + (14113*s[19])/216 + (2682247*s[20])/2376 + 
       (2114951*s[21])/4752 - (1420351*s[22])/4752 - (170977*s[23])/264 - 
       (1438301*s[24])/2376 + (16782133*s[25])/21384 - 
       (9818707*s[26])/21384 - s[32]/2 + (3*s[33])/4 + s[36] - 2*s[37] - 
       25*s[38] + (383*s[39])/4 - (419*s[40])/4 + (317*s[41])/4 - 
       (549*s[42])/4 - (3409*s[43])/44 + (6775*s[44])/88 - (835*s[45])/11 + 
       (27503*s[46])/44 - (4051*s[47])/88 + (943*s[48])/88 + 
       (29049*s[49])/88 - (5021*s[50])/11 - (24599*s[51])/264 - 
       (7567*s[52])/88 + (13735*s[53])/44 - (883*s[54])/22 + 
       (172861*s[55])/88 + (48267*s[56])/88 - (40773*s[57])/44 + 
       (95385*s[58])/88 - (94631*s[59])/88 - (2597195*s[60])/528 + 
       (620135*s[61])/2376 - 2*s[73] - 6*s[79] + 2*s[80] + 6*s[82] + 
       (3*s[83])/4 + (3*s[84])/2) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      K1[w, u, v]*((-3*s[3])/2 + (243*s[4])/4 + (765*s[5])/22 + 
       (3901*s[6])/44 + (230051*s[7])/264 - (3251*s[8])/44 - 737*s[9] - 
       (425*s[10])/2 - (85443*s[11])/88 - (11942*s[12])/11 - 
       (173875*s[13])/264 - (5883*s[14])/88 - (26929*s[15])/24 - 
       (95275*s[16])/66 - (278255*s[17])/264 - (2743*s[18])/18 - 
       (4783*s[19])/36 - (668947*s[20])/396 - (468289*s[21])/792 + 
       (40677*s[22])/88 + (35461*s[23])/33 + (20855*s[24])/22 - 
       (4491515*s[25])/3564 + (2363771*s[26])/3564 - 2*s[36] + 5*s[37] + 
       36*s[38] - (279*s[39])/2 + (315*s[40])/2 - (243*s[41])/2 + 
       (401*s[42])/2 + (2577*s[43])/22 - (5657*s[44])/44 + (1271*s[45])/11 - 
       (21551*s[46])/22 + (6683*s[47])/132 + (1073*s[48])/132 - 
       (70385*s[49])/132 + (8231*s[50])/11 + (18845*s[51])/132 + 
       (15343*s[52])/132 - (16573*s[53])/33 + (354*s[54])/11 - 
       (139503*s[55])/44 - (36765*s[56])/44 + (36373*s[57])/33 - 
       (208205*s[58])/132 + (208831*s[59])/132 + (6338951*s[60])/792 - 
       (1412497*s[61])/3564 - s[74] + s[75] + 18*s[79] - 6*s[80] - 4*s[82] + 
       s[83] + 2*s[84]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      Phi6[u, v, w]*((7*s[2])/2 + (53*s[3])/2 + (441*s[4])/4 + 
       (6923*s[5])/88 + (16451*s[6])/88 + (442843*s[7])/264 - 
       (100745*s[8])/792 - (101551*s[9])/72 - (30749*s[10])/72 - 
       (61610*s[11])/33 - (67747*s[12])/33 - (55003*s[13])/44 - 
       (4745*s[14])/33 - (26401*s[15])/12 - (247947*s[16])/88 - 
       (561581*s[17])/264 - (70625*s[18])/216 - (6827*s[19])/27 - 
       (3890339*s[20])/1188 - (2877901*s[21])/2376 + (1037449*s[22])/1188 + 
       (91589*s[23])/44 + (2137489*s[24])/1188 - (102256793*s[25])/42768 + 
       (56236769*s[26])/42768 + 2*s[31] + s[32]/2 + (11*s[33])/4 - 5*s[34] - 
       s[35] - (59*s[36])/6 + (5*s[37])/2 + 74*s[38] - (2041*s[39])/8 + 
       (6383*s[40])/24 - (1617*s[41])/8 + (8503*s[42])/24 + (5063*s[43])/24 - 
       (9949*s[44])/48 + (857*s[45])/4 - (40607*s[46])/24 + 
       (15359*s[47])/144 - (3571*s[48])/144 - (135821*s[49])/144 + 
       (15109*s[50])/12 + (35437*s[51])/144 + (30775*s[52])/144 - 
       (62191*s[53])/72 + (103*s[54])/6 - (258107*s[55])/48 - 
       (201815*s[56])/144 + (116539*s[57])/54 - (3657301*s[58])/1296 + 
       (3687127*s[59])/1296 + (11658191*s[60])/864 - (8201995*s[61])/11664 - 
       s[65]/2 - s[66] + 2*s[67] + 3*s[68] + 3*s[69] + s[70] + 2*s[72] - 
       4*s[73] - (3*s[74])/2 + (3*s[75])/2 - 3*s[76] - s[77] + 4*s[78] - 
       8*s[79] + 11*s[80] - 23*s[82] + (3*s[83])/2 + 3*s[84]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*
      ((9*s[2])/2 + (13*s[3])/4 + (719*s[4])/8 + (5023*s[5])/88 + 
       (6509*s[6])/44 + (2103115*s[7])/1584 - (76739*s[8])/594 - 
       (239257*s[9])/216 - (63935*s[10])/216 - (2371109*s[11])/1584 - 
       (672421*s[12])/396 - (1645591*s[13])/1584 - (56513*s[14])/1584 - 
       (237227*s[15])/144 - (213883*s[16])/99 - (806755*s[17])/528 - 
       (160175*s[18])/648 - (117895*s[19])/648 - (17692927*s[20])/7128 - 
       (12854081*s[21])/14256 + (9874639*s[22])/14256 + (1404283*s[23])/792 + 
       (9961379*s[24])/7128 - (250612205*s[25])/128304 + 
       (133429685*s[26])/128304 - 3*s[29] + s[30] + s[31] - s[32]/2 + 
       (5*s[33])/4 - s[34] - s[35] - (59*s[36])/6 + (5*s[37])/2 + 74*s[38] - 
       (2041*s[39])/8 + (6383*s[40])/24 - (1617*s[41])/8 + (8503*s[42])/24 + 
       (5063*s[43])/24 - (9949*s[44])/48 + (857*s[45])/4 - (40607*s[46])/24 + 
       (15359*s[47])/144 - (3571*s[48])/144 - (135821*s[49])/144 + 
       (15109*s[50])/12 + (35437*s[51])/144 + (30775*s[52])/144 - 
       (62191*s[53])/72 + (103*s[54])/6 - (258107*s[55])/48 - 
       (201815*s[56])/144 + (116539*s[57])/54 - (3657301*s[58])/1296 + 
       (3687127*s[59])/1296 + (11658191*s[60])/864 - (8201995*s[61])/11664 - 
       s[65]/2 - s[66] + 2*s[67] + 3*s[68] + 3*s[69] + s[70] + 2*s[72] - 
       4*s[73] - (3*s[74])/2 + (3*s[75])/2 - 3*s[76] - s[77] + 4*s[78] - 
       8*s[79] + 11*s[80] - 23*s[82] + (3*s[83])/2 + 3*s[84]) + 
     HPL[{0, 1}, 1 - w]*K1[w, u, v]*((-83*s[3])/4 - (377*s[4])/8 - 
       (1953*s[5])/88 - (910*s[6])/11 - (306079*s[7])/528 + (4831*s[8])/99 + 
       (33409*s[9])/72 + (9683*s[10])/72 + (354737*s[11])/528 + 
       (201353*s[12])/264 + (261997*s[13])/528 + (5519*s[14])/528 + 
       (11685*s[15])/16 + (255611*s[16])/264 + (120415*s[17])/176 + 
       (20009*s[18])/216 + (24403*s[19])/216 + (2529115*s[20])/2376 + 
       (1843931*s[21])/4752 - (1394605*s[22])/4752 - (197785*s[23])/264 - 
       (1612925*s[24])/2376 + (38070743*s[25])/42768 - 
       (20163119*s[26])/42768 - s[36]/2 - (17*s[37])/4 - 34*s[38] + 
       (767*s[39])/8 - (811*s[40])/8 + (551*s[41])/8 - (967*s[42])/8 - 
       (8649*s[43])/88 + (14875*s[44])/176 - (8119*s[45])/88 + 
       (7307*s[46])/11 - (4567*s[47])/176 - (5469*s[48])/176 + 
       (73013*s[49])/176 - (5201*s[50])/11 - (37567*s[51])/528 - 
       (13467*s[52])/176 + (21151*s[53])/66 - (94*s[54])/11 + 
       (1098727*s[55])/528 + (290761*s[56])/528 - (316777*s[57])/396 + 
       (5280017*s[58])/4752 - (5353565*s[59])/4752 - (5908145*s[60])/1056 + 
       (5701891*s[61])/21384 - s[74] + s[75] + 2*s[76] + 6*s[79] - 
       (9*s[80])/2 - 6*s[82] + (3*s[83])/2 + 3*s[84]) + 
     HPL[{0, 1}, 1 - v]*K1[w, u, v]*(-3*s[2] - (3*s[3])/2 - (87*s[4])/4 - 
       (1565*s[5])/44 - (1435*s[6])/22 - (158545*s[7])/264 + (1372*s[8])/33 + 
       (6293*s[9])/12 + (1819*s[10])/12 + (59869*s[11])/88 + 
       (16707*s[12])/22 + (123557*s[13])/264 + (7793*s[14])/88 + 
       (6083*s[15])/8 + (65759*s[16])/66 + (188779*s[17])/264 + 
       (4031*s[18])/36 + (2983*s[19])/36 + (481339*s[20])/396 + 
       (123131*s[21])/264 - (254975*s[22])/792 - (81287*s[23])/132 - 
       (270997*s[24])/396 + (74963*s[25])/88 - (129005*s[26])/264 - 2*s[31] + 
       2*s[34] - s[36]/2 - (17*s[37])/4 - 34*s[38] + (767*s[39])/8 - 
       (811*s[40])/8 + (551*s[41])/8 - (967*s[42])/8 - (8649*s[43])/88 + 
       (14875*s[44])/176 - (8119*s[45])/88 + (7307*s[46])/11 - 
       (4567*s[47])/176 - (5469*s[48])/176 + (73013*s[49])/176 - 
       (5201*s[50])/11 - (37567*s[51])/528 - (13467*s[52])/176 + 
       (21151*s[53])/66 - (94*s[54])/11 + (1098727*s[55])/528 + 
       (290761*s[56])/528 - (316777*s[57])/396 + (5280017*s[58])/4752 - 
       (5353565*s[59])/4752 - (5908145*s[60])/1056 + (5701891*s[61])/21384 - 
       s[74] + s[75] + 2*s[76] + 6*s[79] - (9*s[80])/2 - 6*s[82] + 
       (3*s[83])/2 + 3*s[84]) + HPL[{0, 0, 1, 1}, 1 - w]*Phi6[u, v, w]*
      (-18*s[2] + s[3]/2 - (1171*s[4])/4 - (755*s[5])/2 - (3263*s[6])/4 - 
       (55115*s[7])/8 + (17081*s[8])/36 + (105673*s[9])/18 + 
       (36509*s[10])/18 + (179267*s[11])/24 + (23762*s[12])/3 + 
       (112193*s[13])/24 + (37097*s[14])/24 + (225733*s[15])/24 + 
       (142195*s[16])/12 + (233405*s[17])/24 + (145855*s[18])/108 + 
       (26636*s[19])/27 + (387280*s[20])/27 + (1177517*s[21])/216 - 
       (781177*s[22])/216 - (19772*s[23])/3 - (826817*s[24])/108 + 
       (2218909*s[25])/243 - (1298488*s[26])/243 + 2*s[30] - 4*s[31] + 
       4*s[33] + 6*s[35] + 13*s[36] - (19*s[37])/2 - 198*s[38] + 
       (3363*s[39])/4 - (3783*s[40])/4 + (3031*s[41])/4 - (4855*s[42])/4 - 
       (32773*s[43])/44 + (8916*s[44])/11 - (41717*s[45])/44 + 
       (159065*s[46])/22 - (18119*s[47])/66 - (22411*s[48])/132 + 
       (115921*s[49])/33 - (61800*s[50])/11 - (37233*s[51])/44 - 
       (85091*s[52])/132 + (43245*s[53])/11 - (219*s[54])/22 + 
       (3297637*s[55])/132 + (432655*s[56])/66 - (2060411*s[57])/396 + 
       (3237169*s[58])/297 - (13130071*s[59])/1188 - (47080717*s[60])/792 + 
       (70091255*s[61])/21384 - 4*s[70] - 4*s[72] + 4*s[73] + 5*s[74] - 
       5*s[75] + 4*s[76] + 6*s[77] - 4*s[78] - 72*s[79] + 27*s[80] - 
       160*s[82] + (3*s[83])/2 - 21*s[84] - 44*s[85]) + 
     HPL[{0, 0, 1, 1}, 1 - v]*Phi6[u, v, w]*(2*s[2] - 42*s[3] - 453*s[4] - 
       (9927*s[5])/44 - (28481*s[6])/44 - (1634717*s[7])/264 + 
       (56734*s[8])/99 + (46268*s[9])/9 + (28505*s[10])/18 + 
       (1799305*s[11])/264 + (497531*s[12])/66 + (1179971*s[13])/264 + 
       (125293*s[14])/264 + (65963*s[15])/8 + (690677*s[16])/66 + 
       (696643*s[17])/88 + (29887*s[18])/27 + (53173*s[19])/54 + 
       (14378237*s[20])/1188 + (9959311*s[21])/2376 - (7671947*s[22])/2376 - 
       (518455*s[23])/66 - (3971855*s[24])/594 + (189128581*s[25])/21384 - 
       (99778219*s[26])/21384 - 4*s[30] - 2*s[32] - (7*s[33])/2 + 2*s[34] + 
       6*s[35] + 13*s[36] - (19*s[37])/2 - 198*s[38] + (3363*s[39])/4 - 
       (3783*s[40])/4 + (3031*s[41])/4 - (4855*s[42])/4 - (32773*s[43])/44 + 
       (8916*s[44])/11 - (41717*s[45])/44 + (159065*s[46])/22 - 
       (18119*s[47])/66 - (22411*s[48])/132 + (115921*s[49])/33 - 
       (61800*s[50])/11 - (37233*s[51])/44 - (85091*s[52])/132 + 
       (43245*s[53])/11 - (219*s[54])/22 + (3297637*s[55])/132 + 
       (432655*s[56])/66 - (2060411*s[57])/396 + (3237169*s[58])/297 - 
       (13130071*s[59])/1188 - (47080717*s[60])/792 + 
       (70091255*s[61])/21384 - 4*s[70] - 4*s[72] + 4*s[73] + 5*s[74] - 
       5*s[75] + 4*s[76] + 6*s[77] - 4*s[78] - 72*s[79] + 27*s[80] - 
       160*s[82] + (3*s[83])/2 - 21*s[84] - 44*s[85]) + 
     F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-9*s[2])/4 - (159*s[3])/8 - (4785*s[4])/16 - (18825*s[5])/88 - 
       (94865*s[6])/176 - (15608521*s[7])/3168 + (1860571*s[8])/4752 + 
       (448181*s[9])/108 + (35944*s[10])/27 + (17160223*s[11])/3168 + 
       (4686095*s[12])/792 + (3741227*s[13])/1056 + (2080231*s[14])/3168 + 
       (209767*s[15])/32 + (733399*s[16])/88 + (20425865*s[17])/3168 + 
       (286789*s[18])/324 + (1015799*s[19])/1296 + (140379527*s[20])/14256 + 
       (100832197*s[21])/28512 - (73725917*s[22])/28512 - (362053*s[23])/66 - 
       (38923193*s[24])/7128 + (884220989*s[25])/128304 - 
       (483335321*s[26])/128304 - s[30]/2 - s[32]/2 - (3*s[34])/2 + 
       (5*s[35])/2 + (20*s[36])/3 - (121*s[37])/12 - (333*s[38])/2 + 
       (5245*s[39])/8 - (17887*s[40])/24 + (4699*s[41])/8 - 
       (22271*s[42])/24 - (163433*s[43])/264 + (85279*s[44])/132 - 
       (197969*s[45])/264 + (744185*s[46])/132 - (139849*s[47])/792 - 
       (73967*s[48])/396 + (2244403*s[49])/792 - (289193*s[50])/66 - 
       (255685*s[51])/396 - (401465*s[52])/792 + (2392451*s[53])/792 - 
       (1025*s[54])/66 + (638062*s[55])/33 + (1328605*s[56])/264 - 
       (3140495*s[57])/792 + (3363551*s[58])/396 - (3410977*s[59])/396 - 
       (55860253*s[60])/1188 + (53355443*s[61])/21384 - 3*s[70] - s[72] + 
       s[73] + (9*s[74])/4 - (9*s[75])/4 + s[76] + (5*s[77])/2 - 66*s[79] + 
       (131*s[80])/6 - 155*s[82] - s[83] - 26*s[84] - 40*s[85]) + 
     F1[w, u, v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((-29*s[2])/4 - (53*s[3])/8 - (4501*s[4])/16 - (10771*s[5])/44 - 
       (100343*s[6])/176 - (5564425*s[7])/1056 + (1900457*s[8])/4752 + 
       (120553*s[9])/27 + (322153*s[10])/216 + (18264689*s[11])/3168 + 
       (4940107*s[12])/792 + (11771591*s[13])/3168 + (2696693*s[14])/3168 + 
       (2040373*s[15])/288 + (7098473*s[16])/792 + (22354055*s[17])/3168 + 
       (76961*s[18])/81 + (1092853*s[19])/1296 + (152517829*s[20])/14256 + 
       (111079379*s[21])/28512 - (79102255*s[22])/28512 - 
       (4295851*s[23])/792 - (10537717*s[24])/1782 + (929929597*s[25])/
        128304 - (517771393*s[26])/128304 + s[30] - s[31] + (15*s[33])/8 - 
       s[34] + (5*s[35])/2 + (20*s[36])/3 - (121*s[37])/12 - (333*s[38])/2 + 
       (5245*s[39])/8 - (17887*s[40])/24 + (4699*s[41])/8 - 
       (22271*s[42])/24 - (163433*s[43])/264 + (85279*s[44])/132 - 
       (197969*s[45])/264 + (744185*s[46])/132 - (139849*s[47])/792 - 
       (73967*s[48])/396 + (2244403*s[49])/792 - (289193*s[50])/66 - 
       (255685*s[51])/396 - (401465*s[52])/792 + (2392451*s[53])/792 - 
       (1025*s[54])/66 + (638062*s[55])/33 + (1328605*s[56])/264 - 
       (3140495*s[57])/792 + (3363551*s[58])/396 - (3410977*s[59])/396 - 
       (55860253*s[60])/1188 + (53355443*s[61])/21384 - 3*s[70] - s[72] + 
       s[73] + (9*s[74])/4 - (9*s[75])/4 + s[76] + (5*s[77])/2 - 66*s[79] + 
       (131*s[80])/6 - 155*s[82] - s[83] - 26*s[84] - 40*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      ((-37*s[2])/4 - (187*s[3])/8 - (5401*s[4])/16 - (26197*s[5])/88 - 
       (132865*s[6])/176 - (20405893*s[7])/3168 + (764389*s[8])/1584 + 
       (195833*s[9])/36 + (65755*s[10])/36 + (7414997*s[11])/1056 + 
       (1995695*s[12])/264 + (14330057*s[13])/3168 + (1196717*s[14])/1056 + 
       (2494315*s[15])/288 + (1085872*s[16])/99 + (27615409*s[17])/3168 + 
       (65755*s[18])/54 + (411385*s[19])/432 + (62256745*s[20])/4752 + 
       (15332413*s[21])/3168 - (32067239*s[22])/9504 - (5309737*s[23])/792 - 
       (4237163*s[24])/594 + (41778013*s[25])/4752 - (23654665*s[26])/4752 + 
       s[30]/2 - 2*s[31] + s[32] + (3*s[33])/4 - s[34]/2 + s[35] + 
       (89*s[36])/6 - (20*s[37])/3 - (367*s[38])/2 + (6079*s[39])/8 - 
       (20993*s[40])/24 + (5529*s[41])/8 - (25987*s[42])/24 - 
       (201859*s[43])/264 + (406415*s[44])/528 - (128465*s[45])/132 + 
       (1871315*s[46])/264 - (270937*s[47])/1584 - (493159*s[48])/1584 + 
       (5360035*s[49])/1584 - (361393*s[50])/66 - (1182539*s[51])/1584 - 
       (963737*s[52])/1584 + (757531*s[53])/198 - (4975*s[54])/66 + 
       (4326807*s[55])/176 + (1153001*s[56])/176 - (442714*s[57])/99 + 
       (50437525*s[58])/4752 - (51014851*s[59])/4752 - 
       (559343101*s[60])/9504 + (15498299*s[61])/4752 - 2*s[70] - 2*s[72] - 
       s[73] + (5*s[74])/2 - (5*s[75])/2 + 4*s[76] + s[77] - s[78] - 
       68*s[79] + (65*s[80])/3 - 154*s[82] - 24*s[84] - 40*s[85]) + 
     F1[w, u, v]*HPL[{0, 0, 1}, 1 - v]*((-29*s[2])/4 - (35*s[3])/8 - 
       (2647*s[4])/16 - (14217*s[5])/88 - (68963*s[6])/176 - 
       (3540199*s[7])/1056 + (389423*s[8])/1584 + (203765*s[9])/72 + 
       (8843*s[10])/9 + (3832877*s[11])/1056 + (127988*s[12])/33 + 
       (2408287*s[13])/1056 + (723773*s[14])/1056 + (434333*s[15])/96 + 
       (378751*s[16])/66 + (1635781*s[17])/352 + (143587*s[18])/216 + 
       (206221*s[19])/432 + (32868637*s[20])/4752 + (24322439*s[21])/9504 - 
       (16670791*s[22])/9504 - (111340*s[23])/33 - (8752639*s[24])/2376 + 
       (24012533*s[25])/5346 - (27400423*s[26])/10692 + s[30] - s[31] + 
       (9*s[33])/8 - s[34] + (5*s[35])/2 + (10*s[36])/3 + s[37]/6 - 
       83*s[38] + (2971*s[39])/8 - (10289*s[40])/24 + (2807*s[41])/8 - 
       (12967*s[42])/24 - (89599*s[43])/264 + (99541*s[44])/264 - 
       (66283*s[45])/132 + (318501*s[46])/88 - (20417*s[47])/198 - 
       (100907*s[48])/792 + (318233*s[49])/198 - (93215*s[50])/33 - 
       (313549*s[51])/792 - (115811*s[52])/396 + (86921*s[53])/44 - 
       (1877*s[54])/44 + (3350399*s[55])/264 + (677365*s[56])/198 - 
       (4769029*s[57])/2376 + (18974419*s[58])/3564 - (37930847*s[59])/7128 - 
       (70812853*s[60])/2376 + (221434447*s[61])/128304 - 3*s[70] + s[71]/2 - 
       s[72] + s[73] + (13*s[74])/4 - (13*s[75])/4 + s[76] + (5*s[77])/2 - 
       42*s[79] + (46*s[80])/3 - 114*s[82] - 3*s[83] - 30*s[84] - 36*s[85]) + 
     F1[v, w, u]*HPL[{0, 0, 1}, 1 - w]*((-9*s[2])/4 - (65*s[3])/8 - 
       (2855*s[4])/16 - (13413*s[5])/88 - (63339*s[6])/176 - 
       (10270331*s[7])/3168 + (1168649*s[8])/4752 + (296227*s[9])/108 + 
       (98423*s[10])/108 + (11126129*s[11])/3168 + (2992579*s[12])/792 + 
       (2322733*s[13])/1056 + (1869185*s[14])/3168 + (140509*s[15])/32 + 
       (121747*s[16])/22 + (14029519*s[17])/3168 + (102985*s[18])/162 + 
       (601249*s[19])/1296 + (94994341*s[20])/14256 + 
       (69094931*s[21])/28512 - (48412651*s[22])/28512 - (913469*s[23])/264 - 
       (3138230*s[24])/891 + (563143837*s[25])/128304 - 
       (316506109*s[26])/128304 - s[30]/2 - s[32]/2 - (3*s[33])/4 - s[34]/2 + 
       (5*s[35])/2 + (10*s[36])/3 + s[37]/6 - 83*s[38] + (2971*s[39])/8 - 
       (10289*s[40])/24 + (2807*s[41])/8 - (12967*s[42])/24 - 
       (89599*s[43])/264 + (99541*s[44])/264 - (66283*s[45])/132 + 
       (318501*s[46])/88 - (20417*s[47])/198 - (100907*s[48])/792 + 
       (318233*s[49])/198 - (93215*s[50])/33 - (313549*s[51])/792 - 
       (115811*s[52])/396 + (86921*s[53])/44 - (1877*s[54])/44 + 
       (3350399*s[55])/264 + (677365*s[56])/198 - (4769029*s[57])/2376 + 
       (18974419*s[58])/3564 - (37930847*s[59])/7128 - 
       (70812853*s[60])/2376 + (221434447*s[61])/128304 - 3*s[70] + s[71]/2 - 
       s[72] + s[73] + (13*s[74])/4 - (13*s[75])/4 + s[76] + (5*s[77])/2 - 
       42*s[79] + (46*s[80])/3 - 114*s[82] - 3*s[83] - 30*s[84] - 36*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*
      (-7*s[2] - (11*s[3])/4 - (149*s[4])/8 - (3703*s[5])/88 - 
       (6465*s[6])/44 - (465785*s[7])/528 + (34015*s[8])/594 + 
       (159083*s[9])/216 + (69229*s[10])/216 + (1416463*s[11])/1584 + 
       (685711*s[12])/792 + (802243*s[13])/1584 + (566605*s[14])/1584 + 
       (182735*s[15])/144 + (623641*s[16])/396 + (2315347*s[17])/1584 + 
       (143443*s[18])/648 + (37595*s[19])/648 + (13882571*s[20])/7128 + 
       (11365429*s[21])/14256 - (6454475*s[22])/14256 - (276557*s[23])/396 - 
       (3300665*s[24])/3564 + (131299957*s[25])/128304 - 
       (89480989*s[26])/128304 + s[30] - 2*s[31] + (3*s[32])/2 - 3*s[33] - 
       s[35] + (20*s[36])/3 + (133*s[37])/12 + (11*s[38])/2 + 40*s[39] - 
       (179*s[40])/3 + (249*s[41])/4 - (955*s[42])/12 - (1894*s[43])/33 + 
       (7429*s[44])/132 - (35803*s[45])/264 + (74663*s[46])/88 + 
       (2533*s[47])/396 - (16805*s[48])/396 + (85637*s[49])/396 - 
       (22642*s[50])/33 - (5926*s[51])/99 - (17095*s[52])/396 + 
       (136915*s[53])/264 - (2877*s[54])/44 + (148641*s[55])/44 + 
       (96649*s[56])/99 + (61631*s[57])/1188 + (8111449*s[58])/7128 - 
       (1035836*s[59])/891 - (32904187*s[60])/4752 + 
       (62039231*s[61])/128304 + 2*s[70] + s[71]/2 - 2*s[72] - 2*s[73] + 
       s[74]/2 - s[75]/2 + 2*s[76] - s[77] - 2*s[78] - 14*s[79] - 
       (17*s[80])/6 - 122*s[82] + (3*s[83])/4 - (45*s[84])/2 - 34*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      (3*s[2] + (17*s[3])/4 - (285*s[4])/8 - (1417*s[5])/44 - 
       (7441*s[6])/88 - (1166993*s[7])/1584 + (123883*s[8])/2376 + 
       (35165*s[9])/54 + (5606*s[10])/27 + (1188895*s[11])/1584 + 
       (151009*s[12])/198 + (668549*s[13])/1584 + (315079*s[14])/1584 + 
       (155095*s[15])/144 + (505193*s[16])/396 + (193473*s[17])/176 + 
       (24313*s[18])/162 + (41585*s[19])/648 + (11337545*s[20])/7128 + 
       (8292337*s[21])/14256 - (5615153*s[22])/14256 - (297325*s[23])/396 - 
       (1327543*s[24])/1782 + (59240405*s[25])/64152 - 
       (35723261*s[26])/64152 - 2*s[30] + s[32]/2 - 3*s[33] + 2*s[34] - 
       s[35] + (20*s[36])/3 + (133*s[37])/12 + (11*s[38])/2 + 40*s[39] - 
       (179*s[40])/3 + (249*s[41])/4 - (955*s[42])/12 - (1894*s[43])/33 + 
       (7429*s[44])/132 - (35803*s[45])/264 + (74663*s[46])/88 + 
       (2533*s[47])/396 - (16805*s[48])/396 + (85637*s[49])/396 - 
       (22642*s[50])/33 - (5926*s[51])/99 - (17095*s[52])/396 + 
       (136915*s[53])/264 - (2877*s[54])/44 + (148641*s[55])/44 + 
       (96649*s[56])/99 + (61631*s[57])/1188 + (8111449*s[58])/7128 - 
       (1035836*s[59])/891 - (32904187*s[60])/4752 + 
       (62039231*s[61])/128304 + 2*s[70] + s[71]/2 - 2*s[72] - 2*s[73] + 
       s[74]/2 - s[75]/2 + 2*s[76] - s[77] - 2*s[78] - 14*s[79] - 
       (17*s[80])/6 - 122*s[82] + (3*s[83])/4 - (45*s[84])/2 - 34*s[85]) + 
     F1[u, v, w]*HPL[{0, 1, 1}, 1 - w]*((-19*s[2])/2 - (57*s[3])/4 - 
       (4749*s[4])/8 - (18771*s[5])/44 - (92921*s[6])/88 - 
       (15248539*s[7])/1584 + (1956155*s[8])/2376 + (438781*s[9])/54 + 
       (66139*s[10])/27 + (16827713*s[11])/1584 + (2322059*s[12])/198 + 
       (11113075*s[13])/1584 + (1722893*s[14])/1584 + (1817105*s[15])/144 + 
       (3195593*s[16])/198 + (6435529*s[17])/528 + (148189*s[18])/81 + 
       (852589*s[19])/648 + (136026679*s[20])/7128 + (98955851*s[21])/14256 - 
       (72243835*s[22])/14256 - (1173050*s[23])/99 - (36795367*s[24])/3564 + 
       (434381789*s[25])/32076 - (238620737*s[26])/32076 + s[29] - 2*s[30] - 
       s[31] - (3*s[32])/2 - s[33] + s[34] + 7*s[35] + (68*s[36])/3 - 
       (116*s[37])/3 - (713*s[38])/2 + (5775*s[39])/4 - (19445*s[40])/12 + 
       (2509*s[41])/2 - (6250*s[42])/3 - (164839*s[43])/132 + 
       (177487*s[44])/132 - (48008*s[45])/33 + (499473*s[46])/44 - 
       (202217*s[47])/396 - (27073*s[48])/198 + (2257751*s[49])/396 - 
       (1146373*s[50])/132 - (572665*s[51])/396 - (115210*s[52])/99 + 
       (198070*s[53])/33 - (9859*s[54])/44 + (2518333*s[55])/66 + 
       (4054243*s[56])/396 - (12952039*s[57])/1188 + (31979719*s[58])/1782 - 
       (32209363*s[59])/1782 - (219896855*s[60])/2376 + 
       (321251857*s[61])/64152 + s[65]/2 + s[66] - 2*s[67] - 3*s[68] - 
       s[69] - 6*s[70] - s[71]/2 - 6*s[72] + 4*s[73] + (13*s[74])/2 - 
       (13*s[75])/2 + 6*s[76] + 8*s[77] - 8*s[78] - 132*s[79] + 
       (119*s[80])/3 - 62*s[82] - (3*s[83])/4 - (51*s[84])/2 - 28*s[85]) + 
     F1[u, v, w]*HPL[{0, 1, 1}, 1 - v]*((-23*s[2])/2 - (193*s[3])/4 - 
       (5175*s[4])/8 - (21289*s[5])/44 - (107735*s[6])/88 - 
       (17133781*s[7])/1584 + (692585*s[8])/792 + (164191*s[9])/18 + 
       (25870*s[10])/9 + (2092215*s[11])/176 + (428281*s[12])/33 + 
       (12343085*s[13])/1584 + (256295*s[14])/176 + (2072779*s[15])/144 + 
       (3624097*s[16])/198 + (22428217*s[17])/1584 + (12037*s[18])/6 + 
       (115373*s[19])/72 + (1901675*s[20])/88 + (37361527*s[21])/4752 - 
       (26960971*s[22])/4752 - (2461277*s[23])/198 - (7016297*s[24])/594 + 
       (322687553*s[25])/21384 - (178221533*s[26])/21384 - s[30] - 4*s[31] - 
       3*s[32] - s[33] + 5*s[34] + 7*s[35] + (68*s[36])/3 - (116*s[37])/3 - 
       (713*s[38])/2 + (5775*s[39])/4 - (19445*s[40])/12 + (2509*s[41])/2 - 
       (6250*s[42])/3 - (164839*s[43])/132 + (177487*s[44])/132 - 
       (48008*s[45])/33 + (499473*s[46])/44 - (202217*s[47])/396 - 
       (27073*s[48])/198 + (2257751*s[49])/396 - (1146373*s[50])/132 - 
       (572665*s[51])/396 - (115210*s[52])/99 + (198070*s[53])/33 - 
       (9859*s[54])/44 + (2518333*s[55])/66 + (4054243*s[56])/396 - 
       (12952039*s[57])/1188 + (31979719*s[58])/1782 - 
       (32209363*s[59])/1782 - (219896855*s[60])/2376 + 
       (321251857*s[61])/64152 + s[65]/2 + s[66] - 2*s[67] - 3*s[68] - 
       s[69] - 6*s[70] - s[71]/2 - 6*s[72] + 4*s[73] + (13*s[74])/2 - 
       (13*s[75])/2 + 6*s[76] + 8*s[77] - 8*s[78] - 132*s[79] + 
       (119*s[80])/3 - 62*s[82] - (3*s[83])/4 - (51*s[84])/2 - 28*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*Phi6[u, v, w]*
      (-4*s[2] - (81*s[3])/4 - (873*s[4])/4 - (13241*s[5])/88 - 
       (39249*s[6])/88 - (6121901*s[7])/1584 + (262573*s[8])/792 + 
       (57905*s[9])/18 + (81325*s[10])/72 + (734243*s[11])/176 + 
       (1184041*s[12])/264 + (4204867*s[13])/1584 + (116243*s[14])/176 + 
       (760619*s[15])/144 + (2621803*s[16])/396 + (8446073*s[17])/1584 + 
       (25841*s[18])/36 + (14387*s[19])/24 + (6223799*s[20])/792 + 
       (13432457*s[21])/4752 - (9509867*s[22])/4752 - (800101*s[23])/198 - 
       (1288310*s[24])/297 + (28107577*s[25])/5346 - (15699493*s[26])/5346 + 
       s[30]/2 + s[31] + s[32]/2 + (21*s[33])/8 - (17*s[34])/2 - 
       (2*s[36])/3 - (7*s[37])/3 - 94*s[38] + 381*s[39] - (1357*s[40])/3 + 
       368*s[41] - (1655*s[42])/3 - (12701*s[43])/33 + (51065*s[44])/132 - 
       (19366*s[45])/33 + (44070*s[46])/11 - (37417*s[47])/396 - 
       (55501*s[48])/396 + (665683*s[49])/396 - (103964*s[50])/33 - 
       (161669*s[51])/396 - (123341*s[52])/396 + (73244*s[53])/33 - 
       (954*s[54])/11 + (1915607*s[55])/132 + (1547357*s[56])/396 - 
       (564596*s[57])/297 + (21013801*s[58])/3564 - (21246739*s[59])/3564 - 
       (79694497*s[60])/2376 + (62138719*s[61])/32076 - s[65] - 2*s[66] + 
       4*s[67] - s[68] + 8*s[69] + s[71] - 8*s[73] + 2*s[76] - 4*s[77] + 
       4*s[78] - 64*s[79] + (52*s[80])/3 - 88*s[82] + (9*s[83])/4 - 
       (39*s[84])/2 - 26*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      Phi6[u, v, w]*(-s[2] + (49*s[3])/4 - (567*s[4])/4 - (18983*s[5])/88 - 
       (32759*s[6])/88 - (5586311*s[7])/1584 + (500773*s[8])/2376 + 
       (83707*s[9])/27 + (217717*s[10])/216 + (5959297*s[11])/1584 + 
       (3125653*s[12])/792 + (3629633*s[13])/1584 + (1368553*s[14])/1584 + 
       (709729*s[15])/144 + (2381453*s[16])/396 + (873027*s[17])/176 + 
       (238853*s[18])/324 + (266003*s[19])/648 + (53527289*s[20])/7128 + 
       (41223505*s[21])/14256 - (26844995*s[22])/14256 - (349357*s[23])/99 - 
       (6791989*s[24])/1782 + (73042055*s[25])/16038 - 
       (21999532*s[26])/8019 - 2*s[29] - s[30]/2 - 3*s[31] - (3*s[32])/2 - 
       (21*s[33])/8 + (5*s[34])/2 - (2*s[36])/3 - (7*s[37])/3 - 94*s[38] + 
       381*s[39] - (1357*s[40])/3 + 368*s[41] - (1655*s[42])/3 - 
       (12701*s[43])/33 + (51065*s[44])/132 - (19366*s[45])/33 + 
       (44070*s[46])/11 - (37417*s[47])/396 - (55501*s[48])/396 + 
       (665683*s[49])/396 - (103964*s[50])/33 - (161669*s[51])/396 - 
       (123341*s[52])/396 + (73244*s[53])/33 - (954*s[54])/11 + 
       (1915607*s[55])/132 + (1547357*s[56])/396 - (564596*s[57])/297 + 
       (21013801*s[58])/3564 - (21246739*s[59])/3564 - 
       (79694497*s[60])/2376 + (62138719*s[61])/32076 - s[65] - 2*s[66] + 
       4*s[67] - s[68] + 8*s[69] + s[71] - 8*s[73] + 2*s[76] - 4*s[77] + 
       4*s[78] - 64*s[79] + (52*s[80])/3 - 88*s[82] + (9*s[83])/4 - 
       (39*s[84])/2 - 26*s[85]) + F1[w, u, v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*((-29*s[2])/4 - (47*s[3])/8 - (3691*s[4])/16 - 
       216*s[5] - (8143*s[6])/16 - (436837*s[7])/96 + (5331*s[8])/16 + 
       (7719*s[9])/2 + (10423*s[10])/8 + (159201*s[11])/32 + 
       (42985*s[12])/8 + (306797*s[13])/96 + (26165*s[14])/32 + 
       (584809*s[15])/96 + (23257*s[16])/3 + (587989*s[17])/96 + 
       (15391*s[18])/18 + (99631*s[19])/144 + (1340969*s[20])/144 + 
       (985859*s[21])/288 - (229901*s[22])/96 - (13916*s[23])/3 - 
       (121691*s[24])/24 + (8048161*s[25])/1296 - (4536361*s[26])/1296 + 
       s[30] - s[31] + (15*s[33])/8 - s[34] + (5*s[35])/2 + (14*s[36])/3 - 
       (29*s[37])/3 - 144*s[38] + (4467*s[39])/8 - (15289*s[40])/24 + 
       (4027*s[41])/8 - (18899*s[42])/24 - (141143*s[43])/264 + 
       (147929*s[44])/264 - (22034*s[45])/33 + (435719*s[46])/88 - 
       (13676*s[47])/99 - (156895*s[48])/792 + (243659*s[49])/99 - 
       (126715*s[50])/33 - (435245*s[51])/792 - (170089*s[52])/396 + 
       (29110*s[53])/11 + (453*s[54])/44 + (4489555*s[55])/264 + 
       (881879*s[56])/198 - (7863851*s[57])/2376 + (6611300*s[58])/891 - 
       (53453575*s[59])/7128 - (24540281*s[60])/594 + 
       (284597441*s[61])/128304 - 3*s[70] + s[71]/2 - s[72] + s[73] + 
       (9*s[74])/4 - (9*s[75])/4 + s[76] + (5*s[77])/2 - 56*s[79] + 
       (53*s[80])/3 - 86*s[82] - (3*s[83])/4 - (27*s[84])/2 - 22*s[85]) + 
     F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      ((-9*s[2])/4 - (165*s[3])/8 - (4251*s[4])/16 - (4155*s[5])/22 - 
       (86237*s[6])/176 - (13970491*s[7])/3168 + (1625311*s[8])/4752 + 
       (801205*s[9])/216 + (261047*s[10])/216 + (15356893*s[11])/3168 + 
       (2091799*s[12])/396 + (1114767*s[13])/352 + (1935673*s[14])/3168 + 
       (188497*s[15])/32 + (246773*s[16])/33 + (18413687*s[17])/3168 + 
       (505583*s[18])/648 + (935249*s[19])/1296 + (125981201*s[20])/14256 + 
       (90341239*s[21])/28512 - (65921171*s[22])/28512 - (420391*s[23])/88 - 
       (17540659*s[24])/3564 + (197605997*s[25])/32076 - 
       (27013556*s[26])/8019 - s[30]/2 - s[32]/2 - (3*s[33])/4 - s[34]/2 + 
       (5*s[35])/2 + (14*s[36])/3 - (29*s[37])/3 - 144*s[38] + 
       (4467*s[39])/8 - (15289*s[40])/24 + (4027*s[41])/8 - 
       (18899*s[42])/24 - (141143*s[43])/264 + (147929*s[44])/264 - 
       (22034*s[45])/33 + (435719*s[46])/88 - (13676*s[47])/99 - 
       (156895*s[48])/792 + (243659*s[49])/99 - (126715*s[50])/33 - 
       (435245*s[51])/792 - (170089*s[52])/396 + (29110*s[53])/11 + 
       (453*s[54])/44 + (4489555*s[55])/264 + (881879*s[56])/198 - 
       (7863851*s[57])/2376 + (6611300*s[58])/891 - (53453575*s[59])/7128 - 
       (24540281*s[60])/594 + (284597441*s[61])/128304 - 3*s[70] + s[71]/2 - 
       s[72] + s[73] + (9*s[74])/4 - (9*s[75])/4 + s[76] + (5*s[77])/2 - 
       56*s[79] + (53*s[80])/3 - 86*s[82] - (3*s[83])/4 - (27*s[84])/2 - 
       22*s[85]) + F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      ((3*s[2])/4 - (165*s[3])/8 - (3727*s[4])/16 - (6047*s[5])/44 - 
       (67357*s[6])/176 - (11255935*s[7])/3168 + (1400567*s[8])/4752 + 
       (641627*s[9])/216 + (211645*s[10])/216 + (12332321*s[11])/3168 + 
       (1682717*s[12])/396 + (8013715*s[13])/3168 + (1414013*s[14])/3168 + 
       (1369565*s[15])/288 + (2388215*s[16])/396 + (4947449*s[17])/1056 + 
       (408697*s[18])/648 + (759061*s[19])/1296 + (101198677*s[20])/14256 + 
       (71739563*s[21])/28512 - (52988335*s[22])/28512 - 
       (3147371*s[23])/792 - (14034407*s[24])/3564 + (318609605*s[25])/
        64152 - (172899587*s[26])/64152 - s[30]/2 + 2*s[31] - s[32]/2 - 
       (3*s[33])/4 - (5*s[34])/2 - s[35]/2 + (7*s[36])/3 - (9*s[37])/2 - 
       107*s[38] + (3447*s[39])/8 - (12029*s[40])/24 + (3215*s[41])/8 - 
       (14755*s[42])/24 - (10025*s[43])/24 + (10529*s[44])/24 - 
       (1091*s[45])/2 + (95735*s[46])/24 - (3707*s[47])/36 - 
       (11863*s[48])/72 + (69161*s[49])/36 - (18779*s[50])/6 - 
       (31253*s[51])/72 - (6035*s[52])/18 + (19370*s[53])/9 + 
       (241*s[54])/12 + (332887*s[55])/24 + (131111*s[56])/36 - 
       (528853*s[57])/216 + (1920733*s[58])/324 - (3880679*s[59])/648 - 
       (7220951*s[60])/216 + (21164995*s[61])/11664 + s[68] - s[69] - 
       3*s[70] + s[71]/2 - s[72] + s[73] + (5*s[74])/4 - (5*s[75])/4 - 
       s[76] + (7*s[77])/2 + 2*s[78] - 56*s[79] + 21*s[80] - 80*s[82] + 
       (3*s[83])/4 - (21*s[84])/2 - 22*s[85]) + F1[w, u, v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*((-29*s[2])/4 + (25*s[3])/8 - (2639*s[4])/16 - 
       (8121*s[5])/44 - (73949*s[6])/176 - (11734153*s[7])/3168 + 
       (1213187*s[8])/4752 + (342643*s[9])/108 + (236431*s[10])/216 + 
       (12758327*s[11])/3168 + (3405187*s[12])/792 + (8096665*s[13])/3168 + 
       (2486147*s[14])/3168 + (1439711*s[15])/288 + (2510195*s[16])/396 + 
       (1799057*s[17])/352 + (225809*s[18])/324 + (716635*s[19])/1296 + 
       (109489207*s[20])/14256 + (81684653*s[21])/28512 - 
       (55831057*s[22])/28512 - (345967*s[23])/99 - (29536723*s[24])/7128 + 
       (636334753*s[25])/128304 - (365945233*s[26])/128304 + 2*s[30] - 
       s[31] + (15*s[33])/8 - s[34] - s[35]/2 + (7*s[36])/3 - (9*s[37])/2 - 
       107*s[38] + (3447*s[39])/8 - (12029*s[40])/24 + (3215*s[41])/8 - 
       (14755*s[42])/24 - (10025*s[43])/24 + (10529*s[44])/24 - 
       (1091*s[45])/2 + (95735*s[46])/24 - (3707*s[47])/36 - 
       (11863*s[48])/72 + (69161*s[49])/36 - (18779*s[50])/6 - 
       (31253*s[51])/72 - (6035*s[52])/18 + (19370*s[53])/9 + 
       (241*s[54])/12 + (332887*s[55])/24 + (131111*s[56])/36 - 
       (528853*s[57])/216 + (1920733*s[58])/324 - (3880679*s[59])/648 - 
       (7220951*s[60])/216 + (21164995*s[61])/11664 + s[68] - s[69] - 
       3*s[70] + s[71]/2 - s[72] + s[73] + (5*s[74])/4 - (5*s[75])/4 - 
       s[76] + (7*s[77])/2 + 2*s[78] - 56*s[79] + 21*s[80] - 80*s[82] + 
       (3*s[83])/4 - (21*s[84])/2 - 22*s[85]) + HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*Phi6[u, v, w]*((-45*s[2])/4 - (157*s[3])/8 - 
       (7065*s[4])/16 - (8467*s[5])/22 - (168011*s[6])/176 - 
       (2902495*s[7])/352 + (112419*s[8])/176 + (27871*s[9])/4 + 
       (18443*s[10])/8 + (3154777*s[11])/352 + (424663*s[12])/44 + 
       (2016547*s[13])/352 + (508193*s[14])/352 + (356385*s[15])/32 + 
       (1237413*s[16])/88 + (3937007*s[17])/352 + (6325*s[18])/4 + 
       (18629*s[19])/16 + (2953977*s[20])/176 + (6521429*s[21])/1056 - 
       (1522699*s[22])/352 - (391547*s[23])/44 - (2387303*s[24])/264 + 
       (17792407*s[25])/1584 - (10047667*s[26])/1584 - 3*s[31] + s[32] + 
       (3*s[33])/8 + s[35] + (15*s[36])/4 - (97*s[37])/12 - (421*s[38])/4 + 
       (8229*s[39])/16 - (9425*s[40])/16 + (7627*s[41])/16 - 
       (12447*s[42])/16 - (72235*s[43])/176 + (172577*s[44])/352 - 
       (16504*s[45])/33 + (2166391*s[46])/528 - (208435*s[47])/1056 - 
       (17233*s[48])/1056 + (2104849*s[49])/1056 - (140843*s[50])/44 - 
       (571357*s[51])/1056 - (416267*s[52])/1056 + (220826*s[53])/99 - 
       (19259*s[54])/132 + (4951763*s[55])/352 + (11991665*s[56])/3168 - 
       (8977025*s[57])/2376 + (181373587*s[58])/28512 - 
       (183572197*s[59])/28512 - (210823259*s[60])/6336 + 
       (470221753*s[61])/256608 + 2*s[70] - 4*s[72] - s[73]/2 + (7*s[74])/2 - 
       (7*s[75])/2 + 3*s[76] + s[77] - (9*s[78])/2 - 71*s[79] + 
       (61*s[80])/3 - 98*s[82] - 16*s[84] - 16*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*Phi6[u, v, w]*
      ((13*s[2])/2 + (29*s[3])/4 - (217*s[4])/8 + (3219*s[5])/44 + 
       (12121*s[6])/88 + (442763*s[7])/528 + (6059*s[8])/2376 - 
       (78943*s[9])/108 - (39425*s[10])/108 - (1395853*s[11])/1584 - 
       (653221*s[12])/792 - (817381*s[13])/1584 - (741907*s[14])/1584 - 
       (171935*s[15])/144 - (292277*s[16])/198 - (2263219*s[17])/1584 - 
       (58955*s[18])/324 - (97337*s[19])/648 - (14074883*s[20])/7128 - 
       (12635113*s[21])/14256 + (6123149*s[22])/14256 - (91529*s[23])/792 + 
       (7758397*s[24])/7128 - (29765905*s[25])/32076 + 
       (22907887*s[26])/32076 - 3*s[30] - s[32] - (23*s[33])/4 + 3*s[34] + 
       s[35] + (15*s[36])/4 - (97*s[37])/12 - (421*s[38])/4 + 
       (8229*s[39])/16 - (9425*s[40])/16 + (7627*s[41])/16 - 
       (12447*s[42])/16 - (72235*s[43])/176 + (172577*s[44])/352 - 
       (16504*s[45])/33 + (2166391*s[46])/528 - (208435*s[47])/1056 - 
       (17233*s[48])/1056 + (2104849*s[49])/1056 - (140843*s[50])/44 - 
       (571357*s[51])/1056 - (416267*s[52])/1056 + (220826*s[53])/99 - 
       (19259*s[54])/132 + (4951763*s[55])/352 + (11991665*s[56])/3168 - 
       (8977025*s[57])/2376 + (181373587*s[58])/28512 - 
       (183572197*s[59])/28512 - (210823259*s[60])/6336 + 
       (470221753*s[61])/256608 + 2*s[70] - 4*s[72] - s[73]/2 + (7*s[74])/2 - 
       (7*s[75])/2 + 3*s[76] + s[77] - (9*s[78])/2 - 71*s[79] + 
       (61*s[80])/3 - 98*s[82] - 16*s[84] - 16*s[85]) + 
     HPL[{0, 1, 1, 1}, 1 - v]*Phi6[u, v, w]*(-12*s[3] - (117*s[4])/4 - 
       (284*s[5])/11 - (1781*s[6])/44 - (42611*s[7])/88 + (5059*s[8])/132 + 
       (1208*s[9])/3 + (857*s[10])/6 + (46977*s[11])/88 + (25769*s[12])/44 + 
       (29445*s[13])/88 + (5131*s[14])/88 + (16507*s[15])/24 + 
       (37903*s[16])/44 + (60323*s[17])/88 + (1319*s[18])/18 + 
       (4151*s[19])/36 + (398267*s[20])/396 + (273913*s[21])/792 - 
       (198677*s[22])/792 - (5156*s[23])/11 - (60052*s[24])/99 + 
       (2436221*s[25])/3564 - (1294841*s[26])/3564 - (5*s[36])/2 + 
       (55*s[37])/4 + (7*s[38])/2 + (269*s[39])/8 - (441*s[40])/8 + 
       (375*s[41])/8 - (467*s[42])/8 - (4179*s[43])/88 + (13397*s[44])/176 - 
       (6167*s[45])/88 + (23327*s[46])/44 + (4309*s[47])/176 - 
       (15029*s[48])/176 + (50521*s[49])/176 - (5002*s[50])/11 - 
       (4841*s[51])/176 - (813*s[52])/176 + (21073*s[53])/66 + 
       (2087*s[54])/44 + (1107919*s[55])/528 + (266989*s[56])/528 + 
       (27389*s[57])/99 + (2870657*s[58])/4752 - (3139577*s[59])/4752 - 
       (1692543*s[60])/352 + (3004205*s[61])/10692 + 3*s[68] - 3*s[69] - 
       (3*s[71])/2 - 6*s[76] + 3*s[77] + 3*s[78] - 6*s[79] + (37*s[80])/2 - 
       93*s[82] - 12*s[85]) + HPL[{0, 1, 1, 1}, 1 - w]*Phi6[u, v, w]*
      (6*s[2] - (81*s[3])/4 - (189*s[4])/8 - (2091*s[5])/88 - 
       (1083*s[6])/11 - (88989*s[7])/176 + (4855*s[8])/99 + (26773*s[9])/72 + 
       (16283*s[10])/72 + (274919*s[11])/528 + (16747*s[12])/33 + 
       (135089*s[13])/528 + (142367*s[14])/528 + (37979*s[15])/48 + 
       (269827*s[16])/264 + (534467*s[17])/528 + (22205*s[18])/216 + 
       (27535*s[19])/216 + (2817871*s[20])/2376 + (2195063*s[21])/4752 - 
       (1121137*s[22])/4752 - (28825*s[23])/132 - (823411*s[24])/1188 + 
       (25387211*s[25])/42768 - (17227019*s[26])/42768 + 6*s[31] + 
       (27*s[33])/4 - 18*s[34] - (5*s[36])/2 + (55*s[37])/4 + (7*s[38])/2 + 
       (269*s[39])/8 - (441*s[40])/8 + (375*s[41])/8 - (467*s[42])/8 - 
       (4179*s[43])/88 + (13397*s[44])/176 - (6167*s[45])/88 + 
       (23327*s[46])/44 + (4309*s[47])/176 - (15029*s[48])/176 + 
       (50521*s[49])/176 - (5002*s[50])/11 - (4841*s[51])/176 - 
       (813*s[52])/176 + (21073*s[53])/66 + (2087*s[54])/44 + 
       (1107919*s[55])/528 + (266989*s[56])/528 + (27389*s[57])/99 + 
       (2870657*s[58])/4752 - (3139577*s[59])/4752 - (1692543*s[60])/352 + 
       (3004205*s[61])/10692 + 3*s[68] - 3*s[69] - (3*s[71])/2 - 6*s[76] + 
       3*s[77] + 3*s[78] - 6*s[79] + (37*s[80])/2 - 93*s[82] - 12*s[85]) + 
     F1[v, w, u]*HPL[{0, 0, 1}, 1 - u]*((-23*s[2])/2 + (93*s[3])/4 + 
       (207*s[4])/8 - (9373*s[5])/88 - (1600*s[6])/11 - (1760057*s[7])/1584 + 
       (41837*s[8])/1188 + (219119*s[9])/216 + (84541*s[10])/216 + 
       (1797091*s[11])/1584 + (868801*s[12])/792 + (976739*s[13])/1584 + 
       (919153*s[14])/1584 + (228997*s[15])/144 + (1527649*s[16])/792 + 
       (943777*s[17])/528 + (202717*s[18])/648 + (20531*s[19])/648 + 
       (18714941*s[20])/7128 + (16565797*s[21])/14256 - 
       (8531123*s[22])/14256 - (532067*s[23])/792 - (8450599*s[24])/7128 + 
       (153835207*s[25])/128304 - (118048039*s[26])/128304 - s[29] + 
       2*s[30] - 3*s[31] + 2*s[32] + s[33]/2 - 2*s[35] - 3*s[36] - s[37]/2 - 
       20*s[38] + (151*s[39])/2 - (191*s[40])/2 + (149*s[41])/2 - 109*s[42] - 
       (2099*s[43])/22 + (1759*s[44])/22 - (8289*s[45])/44 + 
       (48621*s[46])/44 - (2995*s[47])/264 - (14479*s[48])/264 + 
       (92101*s[49])/264 - (37205*s[50])/44 - (22375*s[51])/264 - 
       (2380*s[52])/33 + (20635*s[53])/33 - (1370*s[54])/11 + 
       (1110545*s[55])/264 + (107565*s[56])/88 - (13429*s[57])/66 + 
       (1261987*s[58])/792 - (1266391*s[59])/792 - (14614321*s[60])/1584 + 
       (159667*s[61])/264 - s[65]/2 - s[66] + 2*s[67] - 2*s[68] + 4*s[69] + 
       s[70] + s[71]/2 - s[74] + s[75] + s[76] - 3*s[77] + 2*s[78] - 
       16*s[79] + 4*s[80] - 54*s[82] + (3*s[83])/2 - 9*s[84] - 12*s[85]) + 
     F1[w, u, v]*HPL[{0, 0, 1}, 1 - u]*((13*s[2])/2 - (137*s[3])/4 - 
       (771*s[4])/8 - (167*s[5])/8 - (241*s[6])/2 - (140867*s[7])/144 + 
       (2795*s[8])/27 + (169015*s[9])/216 + (49127*s[10])/216 + 
       (152731*s[11])/144 + (21127*s[12])/18 + (100925*s[13])/144 + 
       (6727*s[14])/144 + (197165*s[15])/144 + (118813*s[16])/72 + 
       (61205*s[17])/48 + (104795*s[18])/648 + (115405*s[19])/648 + 
       (1207643*s[20])/648 + (770683*s[21])/1296 - (630425*s[22])/1296 - 
       (48145*s[23])/36 - (352061*s[24])/324 + (16738723*s[25])/11664 - 
       (8521795*s[26])/11664 - 2*s[30] + 2*s[31] - s[32] - s[33] - 3*s[34] - 
       2*s[35] - 3*s[36] - s[37]/2 - 20*s[38] + (151*s[39])/2 - 
       (191*s[40])/2 + (149*s[41])/2 - 109*s[42] - (2099*s[43])/22 + 
       (1759*s[44])/22 - (8289*s[45])/44 + (48621*s[46])/44 - 
       (2995*s[47])/264 - (14479*s[48])/264 + (92101*s[49])/264 - 
       (37205*s[50])/44 - (22375*s[51])/264 - (2380*s[52])/33 + 
       (20635*s[53])/33 - (1370*s[54])/11 + (1110545*s[55])/264 + 
       (107565*s[56])/88 - (13429*s[57])/66 + (1261987*s[58])/792 - 
       (1266391*s[59])/792 - (14614321*s[60])/1584 + (159667*s[61])/264 - 
       s[65]/2 - s[66] + 2*s[67] - 2*s[68] + 4*s[69] + s[70] + s[71]/2 - 
       s[74] + s[75] + s[76] - 3*s[77] + 2*s[78] - 16*s[79] + 4*s[80] - 
       54*s[82] + (3*s[83])/2 - 9*s[84] - 12*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*Phi6[u, v, w]*
      (-6*s[3] - 14*s[4] - (190*s[5])/11 + (409*s[6])/22 - (42277*s[7])/132 + 
       (13765*s[8])/594 + (7165*s[9])/27 + (8215*s[10])/54 + 
       (69473*s[11])/198 + (70207*s[12])/198 + (18394*s[13])/99 - 
       (797*s[14])/99 + (19799*s[15])/36 + (253717*s[16])/396 + 
       (55573*s[17])/99 - (1361*s[18])/162 + (28841*s[19])/162 + 
       (1225649*s[20])/1782 + (183148*s[21])/891 - (154841*s[22])/891 - 
       (25913*s[23])/396 - (1916159*s[24])/3564 + (14606107*s[25])/32076 - 
       (6525799*s[26])/32076 + 3*s[36] + 5*s[37] - 3*s[38] + (17*s[39])/4 + 
       (3*s[40])/4 - (9*s[41])/4 + (21*s[42])/4 - (471*s[43])/44 + 
       (2121*s[44])/88 - (163*s[45])/11 + (4285*s[46])/44 + (1919*s[47])/88 - 
       (2723*s[48])/88 + (13647*s[49])/88 - (3045*s[50])/22 + 
       (6715*s[51])/264 + (2807*s[52])/88 + (10613*s[53])/132 + 
       (4339*s[54])/22 + (137641*s[55])/264 - (14317*s[56])/264 + 
       (38243*s[57])/99 - (5207*s[58])/2376 - (213655*s[59])/2376 - 
       (780629*s[60])/528 + (23203*s[61])/21384 - s[71] + 14*s[79] - 
       4*s[80] - 118*s[82] - 8*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      Phi6[u, v, w]*((65*s[4])/4 + (16*s[5])/11 + (1207*s[6])/44 + 
       (39683*s[7])/264 - (18563*s[8])/1188 - (3307*s[9])/27 - 
       (865*s[10])/54 - (111839*s[11])/792 - (14900*s[12])/99 - 
       (74933*s[13])/792 - (16283*s[14])/792 - (14119*s[15])/72 - 
       (38597*s[16])/198 - (127529*s[17])/792 - (3434*s[18])/81 + 
       (5225*s[19])/324 - (925567*s[20])/3564 - (657161*s[21])/7128 + 
       (504853*s[22])/7128 + (29630*s[23])/99 + (77972*s[24])/891 - 
       (6071617*s[25])/32076 + (3566971*s[26])/32076 + (3*s[33])/2 - 
       2*s[34] + 3*s[36] + 5*s[37] - 3*s[38] + (17*s[39])/4 + (3*s[40])/4 - 
       (9*s[41])/4 + (21*s[42])/4 - (471*s[43])/44 + (2121*s[44])/88 - 
       (163*s[45])/11 + (4285*s[46])/44 + (1919*s[47])/88 - (2723*s[48])/88 + 
       (13647*s[49])/88 - (3045*s[50])/22 + (6715*s[51])/264 + 
       (2807*s[52])/88 + (10613*s[53])/132 + (4339*s[54])/22 + 
       (137641*s[55])/264 - (14317*s[56])/264 + (38243*s[57])/99 - 
       (5207*s[58])/2376 - (213655*s[59])/2376 - (780629*s[60])/528 + 
       (23203*s[61])/21384 - s[71] + 14*s[79] - 4*s[80] - 118*s[82] - 
       8*s[85]) + F1[v, w, u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      ((29*s[3])/8 + (319*s[4])/16 + (377*s[5])/88 + (3947*s[6])/176 + 
       (67237*s[7])/352 - (99389*s[8])/4752 - (4117*s[9])/27 - 
       (1067*s[10])/27 - (694721*s[11])/3168 - (202045*s[12])/792 - 
       (502103*s[13])/3168 + (43327*s[14])/3168 - (68227*s[15])/288 - 
       (498697*s[16])/1584 - (656495*s[17])/3168 - (11801*s[18])/324 - 
       (37789*s[19])/1296 - (4871467*s[20])/14256 - (3260975*s[21])/28512 + 
       (2790775*s[22])/28512 + (487073*s[23])/1584 + (2797703*s[24])/14256 - 
       (38164747*s[25])/128304 + (18887701*s[26])/128304 + s[35]/2 + 
       (3*s[36])/8 - (9*s[37])/4 - (227*s[38])/8 + (3329*s[39])/32 - 
       (3821*s[40])/32 + (3011*s[41])/32 - (4583*s[42])/32 - 
       (39247*s[43])/352 + (75877*s[44])/704 - (27949*s[45])/176 + 
       (383727*s[46])/352 - (12917*s[47])/704 - (34631*s[48])/704 + 
       (352295*s[49])/704 - (75751*s[50])/88 - (200665*s[51])/2112 - 
       (54669*s[52])/704 + (52997*s[53])/88 + (1093*s[54])/88 + 
       (2755199*s[55])/704 + (715109*s[56])/704 - (68253*s[57])/176 + 
       (1094163*s[58])/704 - (1116993*s[59])/704 - (39327097*s[60])/4224 + 
       (9697709*s[61])/19008 - s[70] + s[73]/4 - s[74]/4 + s[75]/4 + 
       s[76]/2 + s[77]/2 + s[78]/4 - (27*s[79])/2 + (17*s[80])/4 - 
       (63*s[82])/2 - 4*s[84] - 8*s[85]) + F1[w, u, v]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*((-29*s[2])/8 - (65*s[3])/16 - (3585*s[4])/32 - 
       (18165*s[5])/176 - (83161*s[6])/352 - (1542731*s[7])/704 + 
       (1570567*s[8])/9504 + (802513*s[9])/432 + (137839*s[10])/216 + 
       (15125773*s[11])/6336 + (507853*s[12])/198 + (9617791*s[13])/6336 + 
       (2426533*s[14])/6336 + (1716545*s[15])/576 + (5946685*s[16])/1584 + 
       (19004335*s[17])/6336 + (508391*s[18])/1296 + (932693*s[19])/2592 + 
       (128017001*s[20])/28512 + (93340207*s[21])/57024 - 
       (65741303*s[22])/57024 - (3442097*s[23])/1584 - (4417057*s[24])/1782 + 
       (191608877*s[25])/64152 - (107378831*s[26])/64152 + s[30]/2 - 
       s[31]/2 + (9*s[33])/16 - s[34]/2 + s[35]/2 + (3*s[36])/8 - 
       (9*s[37])/4 - (227*s[38])/8 + (3329*s[39])/32 - (3821*s[40])/32 + 
       (3011*s[41])/32 - (4583*s[42])/32 - (39247*s[43])/352 + 
       (75877*s[44])/704 - (27949*s[45])/176 + (383727*s[46])/352 - 
       (12917*s[47])/704 - (34631*s[48])/704 + (352295*s[49])/704 - 
       (75751*s[50])/88 - (200665*s[51])/2112 - (54669*s[52])/704 + 
       (52997*s[53])/88 + (1093*s[54])/88 + (2755199*s[55])/704 + 
       (715109*s[56])/704 - (68253*s[57])/176 + (1094163*s[58])/704 - 
       (1116993*s[59])/704 - (39327097*s[60])/4224 + (9697709*s[61])/19008 - 
       s[70] + s[73]/4 - s[74]/4 + s[75]/4 + s[76]/2 + s[77]/2 + s[78]/4 - 
       (27*s[79])/2 + (17*s[80])/4 - (63*s[82])/2 - 4*s[84] - 8*s[85]) + 
     F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*(6*s[3] + (19*s[5])/4 + 
       (25*s[6])/4 + (73*s[7])/3 - (29*s[8])/36 - (551*s[9])/36 - 
       (331*s[10])/36 - (64*s[11])/3 - (167*s[12])/12 - (29*s[13])/4 - 
       (217*s[14])/12 - (559*s[15])/12 - (165*s[16])/4 - (653*s[17])/12 - 
       (1207*s[18])/108 - (217*s[19])/54 - (3125*s[20])/54 - (766*s[21])/27 + 
       (725*s[22])/108 + (19*s[23])/4 + (2123*s[24])/108 - 
       (40871*s[25])/1944 + (38999*s[26])/1944 - s[36]/2 + (7*s[37])/2 + 
       3*s[38] + (23*s[39])/8 - (91*s[40])/8 + (123*s[41])/8 - (55*s[42])/8 - 
       (1521*s[43])/88 + (3787*s[44])/176 - (391*s[45])/44 + 
       (8945*s[46])/88 + (8893*s[47])/528 - (20741*s[48])/528 + 
       (44513*s[49])/528 - (1153*s[50])/11 - (4325*s[51])/528 + 
       (4655*s[52])/528 + (19033*s[53])/264 + (747*s[54])/22 + 
       (240749*s[55])/528 + (39059*s[56])/528 + (77485*s[57])/396 + 
       (260233*s[58])/4752 - (483271*s[59])/4752 - (3541739*s[60])/3168 + 
       (1584907*s[61])/42768 + s[68] - s[69] - 2*s[76] + s[77] + s[78] - 
       8*s[79] + 5*s[80] - 24*s[82] - 4*s[85]) + F1[v, w, u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*(2*s[2] - (27*s[3])/4 - (139*s[4])/8 - 
       (69*s[5])/22 - (2867*s[6])/88 - (113011*s[7])/528 + (3241*s[8])/264 + 
       (1969*s[9])/12 + (293*s[10])/3 + (38407*s[11])/176 + 
       (17771*s[12])/88 + (60773*s[13])/528 + (15365*s[14])/176 + 
       (17665*s[15])/48 + (113803*s[16])/264 + (228799*s[17])/528 + 
       (124*s[18])/9 + (5869*s[19])/72 + (380923*s[20])/792 + 
       (84677*s[21])/528 - (166751*s[22])/1584 - (3679*s[23])/132 - 
       (127481*s[24])/396 + (213067*s[25])/792 - (121477*s[26])/792 + 
       2*s[31] - 4*s[34] - s[36]/2 + (7*s[37])/2 + 3*s[38] + (23*s[39])/8 - 
       (91*s[40])/8 + (123*s[41])/8 - (55*s[42])/8 - (1521*s[43])/88 + 
       (3787*s[44])/176 - (391*s[45])/44 + (8945*s[46])/88 + 
       (8893*s[47])/528 - (20741*s[48])/528 + (44513*s[49])/528 - 
       (1153*s[50])/11 - (4325*s[51])/528 + (4655*s[52])/528 + 
       (19033*s[53])/264 + (747*s[54])/22 + (240749*s[55])/528 + 
       (39059*s[56])/528 + (77485*s[57])/396 + (260233*s[58])/4752 - 
       (483271*s[59])/4752 - (3541739*s[60])/3168 + (1584907*s[61])/42768 + 
       s[68] - s[69] - 2*s[76] + s[77] + s[78] - 8*s[79] + 5*s[80] - 
       24*s[82] - 4*s[85]) + F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      (18*s[3] + (37*s[4])/4 - (787*s[5])/88 + (3071*s[6])/88 - 
       (32563*s[7])/396 + (8243*s[8])/2376 + (19795*s[9])/216 + 
       (14909*s[10])/216 + (46549*s[11])/792 + (21587*s[12])/792 - 
       (11405*s[13])/396 + (4550*s[14])/99 + (15091*s[15])/72 + 
       (39383*s[16])/198 + (5277*s[17])/22 - (4681*s[18])/648 + 
       (8221*s[19])/162 + (964445*s[20])/3564 + (584239*s[21])/7128 - 
       (100427*s[22])/1782 + (25805*s[23])/198 - (534697*s[24])/3564 + 
       (6136283*s[25])/128304 - (3559583*s[26])/128304 + (11*s[36])/6 + 
       (29*s[37])/4 + (29*s[38])/2 - (153*s[39])/8 + (343*s[40])/24 + 
       (17*s[41])/8 + (413*s[42])/24 + (3869*s[43])/264 + (5393*s[44])/528 - 
       (103*s[45])/88 + (1664*s[46])/33 + (44423*s[47])/1584 - 
       (38407*s[48])/1584 + (40531*s[49])/1584 - (4211*s[50])/33 + 
       (25837*s[51])/1584 + (66277*s[52])/1584 + (35581*s[53])/396 + 
       (15629*s[54])/132 + (302677*s[55])/528 + (16069*s[56])/1584 + 
       (817895*s[57])/1188 - (2208475*s[58])/14256 + (924751*s[59])/14256 - 
       (8487955*s[60])/9504 + (1733971*s[61])/64152 + s[68] - s[69] - 
       s[71]/2 + s[74] - s[75] - 2*s[76] + s[77] + s[78] - 8*s[79] + 
       (9*s[80])/2 - 60*s[82] - (3*s[83])/2 - 3*s[84] - 4*s[85]) + 
     F1[v, w, u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*(2*s[2] - (21*s[3])/4 - 
       (107*s[4])/8 + (91*s[5])/11 + (69*s[6])/88 - (18167*s[7])/528 + 
       (2323*s[8])/792 + (79*s[9])/36 + (581*s[10])/9 + (6289*s[11])/528 - 
       (7703*s[12])/264 - (23767*s[13])/528 + (23827*s[14])/528 + 
       (8165*s[15])/48 + (45007*s[16])/264 + (45537*s[17])/176 - 
       (1109*s[18])/54 + (15059*s[19])/216 + (326357*s[20])/2376 + 
       (91945*s[21])/4752 - (52601*s[22])/4752 + (4727*s[23])/33 - 
       (155495*s[24])/1188 + (230381*s[25])/21384 + (116497*s[26])/21384 + 
       2*s[31] - (3*s[33])/2 - 5*s[34] + (11*s[36])/6 + (29*s[37])/4 + 
       (29*s[38])/2 - (153*s[39])/8 + (343*s[40])/24 + (17*s[41])/8 + 
       (413*s[42])/24 + (3869*s[43])/264 + (5393*s[44])/528 - 
       (103*s[45])/88 + (1664*s[46])/33 + (44423*s[47])/1584 - 
       (38407*s[48])/1584 + (40531*s[49])/1584 - (4211*s[50])/33 + 
       (25837*s[51])/1584 + (66277*s[52])/1584 + (35581*s[53])/396 + 
       (15629*s[54])/132 + (302677*s[55])/528 + (16069*s[56])/1584 + 
       (817895*s[57])/1188 - (2208475*s[58])/14256 + (924751*s[59])/14256 - 
       (8487955*s[60])/9504 + (1733971*s[61])/64152 + s[68] - s[69] - 
       s[71]/2 + s[74] - s[75] - 2*s[76] + s[77] + s[78] - 8*s[79] + 
       (9*s[80])/2 - 60*s[82] - (3*s[83])/2 - 3*s[84] - 4*s[85]) + 
     F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      ((15*s[3])/2 - (15*s[4])/4 + (313*s[5])/88 + (871*s[6])/88 - 
       (78*s[7])/11 - (787*s[8])/792 + (511*s[9])/72 + (947*s[10])/72 - 
       (3917*s[11])/264 - (8659*s[12])/264 - (4183*s[13])/132 + 
       (991*s[14])/66 + (401*s[15])/8 + (3731*s[16])/132 + (4369*s[17])/66 + 
       (641*s[18])/216 - (179*s[19])/54 + (42947*s[20])/1188 + 
       (6529*s[21])/2376 - (7753*s[22])/1188 - (1207*s[23])/132 + 
       (1487*s[24])/297 - (996307*s[25])/42768 + (640807*s[26])/42768 - 
       (9*s[33])/4 + (3*s[36])/2 + 5*s[37] + 10*s[38] - (61*s[39])/8 - 
       (7*s[40])/8 + (123*s[41])/8 - (15*s[42])/8 + (203*s[43])/88 + 
       (2063*s[44])/176 - (237*s[45])/22 + (11103*s[46])/88 + 
       (9745*s[47])/528 - (11705*s[48])/528 + (15557*s[49])/528 - 
       (1701*s[50])/11 - (2545*s[51])/528 + (7187*s[52])/528 + 
       (10397*s[53])/88 + (351*s[54])/11 + (134939*s[55])/176 + 
       (67591*s[56])/528 + (50012*s[57])/99 - (703*s[58])/4752 - 
       (286379*s[59])/4752 - (4000739*s[60])/3168 + (2935085*s[61])/42768 + 
       s[68] - s[69] + s[74] - s[75] - 2*s[76] + s[77] + s[78] - 14*s[79] + 
       6*s[80] - 24*s[82] - (3*s[83])/2 - 3*s[84] - 4*s[85]) + 
     F1[v, w, u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*(2*s[2] + (27*s[3])/4 - 
       (109*s[4])/8 - (689*s[5])/88 - (877*s[6])/44 - (129647*s[7])/528 + 
       (2131*s[8])/132 + (4879*s[9])/24 + (2843*s[10])/24 + 
       (39301*s[11])/176 + (4053*s[12])/22 + (40081*s[13])/528 + 
       (21909*s[14])/176 + (7541*s[15])/16 + (132023*s[16])/264 + 
       (285839*s[17])/528 + (1753*s[18])/72 + (5561*s[19])/72 + 
       (477065*s[20])/792 + (36481*s[21])/176 - (200071*s[22])/1584 + 
       (1417*s[23])/132 - (67811*s[24])/198 + (45011*s[25])/176 - 
       (28715*s[26])/176 + 2*s[31] - 4*s[34] + (3*s[36])/2 + 5*s[37] + 
       10*s[38] - (61*s[39])/8 - (7*s[40])/8 + (123*s[41])/8 - (15*s[42])/8 + 
       (203*s[43])/88 + (2063*s[44])/176 - (237*s[45])/22 + 
       (11103*s[46])/88 + (9745*s[47])/528 - (11705*s[48])/528 + 
       (15557*s[49])/528 - (1701*s[50])/11 - (2545*s[51])/528 + 
       (7187*s[52])/528 + (10397*s[53])/88 + (351*s[54])/11 + 
       (134939*s[55])/176 + (67591*s[56])/528 + (50012*s[57])/99 - 
       (703*s[58])/4752 - (286379*s[59])/4752 - (4000739*s[60])/3168 + 
       (2935085*s[61])/42768 + s[68] - s[69] + s[74] - s[75] - 2*s[76] + 
       s[77] + s[78] - 14*s[79] + 6*s[80] - 24*s[82] - (3*s[83])/2 - 
       3*s[84] - 4*s[85]) + F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((3*s[2])/2 - 16*s[3] - (469*s[4])/4 - (2911*s[5])/88 - 
       (12369*s[6])/88 - (525149*s[7])/396 + (338273*s[8])/2376 + 
       (231313*s[9])/216 + (66245*s[10])/216 + (300955*s[11])/198 + 
       (1387643*s[12])/792 + (285289*s[13])/264 - (57527*s[14])/792 + 
       (13207*s[15])/8 + (581615*s[16])/264 + (1194089*s[17])/792 + 
       (130223*s[18])/648 + (41995*s[19])/162 + (8529515*s[20])/3564 + 
       (698438*s[21])/891 - (4901267*s[22])/7128 - (490109*s[23])/264 - 
       (10494527*s[24])/7128 + (263395151*s[25])/128304 - 
       (128879711*s[26])/128304 + 2*s[29] - 2*s[30] + s[33]/4 + 
       (20*s[36])/3 + (4*s[37])/3 - 43*s[38] + 145*s[39] - (479*s[40])/3 + 
       127*s[41] - (568*s[42])/3 - (5191*s[43])/33 + (20557*s[44])/132 - 
       (10519*s[45])/66 + (26655*s[46])/22 - (7879*s[47])/792 - 
       (75859*s[48])/792 + (590929*s[49])/792 - (125359*s[50])/132 - 
       (91367*s[51])/792 - (37141*s[52])/396 + (173405*s[53])/264 + 
       (5195*s[54])/44 + (365763*s[55])/88 + (729959*s[56])/792 - 
       (320435*s[57])/594 + (12022585*s[58])/7128 - (12904819*s[59])/7128 - 
       (49427209*s[60])/4752 + (7653967*s[61])/16038 + s[68] - s[69] - 
       s[70] + s[74]/2 - s[75]/2 + 2*s[76] + 3*s[77] - 2*s[78] + 2*s[79] - 
       (13*s[80])/3 - 50*s[82] + s[83]/2 + s[84] - 4*s[85]) + 
     F1[u, v, w]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*(-5*s[2] - 10*s[3] - 
       (23*s[4])/4 - (5541*s[5])/88 - (8933*s[6])/88 - (218503*s[7])/264 - 
       (197*s[8])/264 + (17465*s[9])/24 + (8125*s[10])/24 + 
       (76595*s[11])/88 + (17887*s[12])/22 + (129341*s[13])/264 + 
       (31265*s[14])/88 + (7711*s[15])/6 + (201937*s[16])/132 + 
       (193631*s[17])/132 + (3227*s[18])/24 + (2407*s[19])/12 + 
       (250259*s[20])/132 + (300899*s[21])/396 - (346189*s[22])/792 - 
       (32695*s[23])/264 - (856987*s[24])/792 + (14025173*s[25])/14256 - 
       (9166865*s[26])/14256 - 2*s[29] - 3*s[31] + s[32] + 4*s[34] + 
       (20*s[36])/3 + (4*s[37])/3 - 43*s[38] + 145*s[39] - (479*s[40])/3 + 
       127*s[41] - (568*s[42])/3 - (5191*s[43])/33 + (20557*s[44])/132 - 
       (10519*s[45])/66 + (26655*s[46])/22 - (7879*s[47])/792 - 
       (75859*s[48])/792 + (590929*s[49])/792 - (125359*s[50])/132 - 
       (91367*s[51])/792 - (37141*s[52])/396 + (173405*s[53])/264 + 
       (5195*s[54])/44 + (365763*s[55])/88 + (729959*s[56])/792 - 
       (320435*s[57])/594 + (12022585*s[58])/7128 - (12904819*s[59])/7128 - 
       (49427209*s[60])/4752 + (7653967*s[61])/16038 + s[68] - s[69] - 
       s[70] + s[74]/2 - s[75]/2 + 2*s[76] + 3*s[77] - 2*s[78] + 2*s[79] - 
       (13*s[80])/3 - 50*s[82] + s[83]/2 + s[84] - 4*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      ((-11*s[3])/4 - (5*s[4])/4 + (433*s[5])/88 + (20*s[6])/11 + 
       (34577*s[7])/792 - (4207*s[8])/1188 - (2341*s[9])/54 - 
       (2795*s[10])/216 - (68339*s[11])/1584 - (71767*s[12])/1584 - 
       (13661*s[13])/792 - (25033*s[14])/792 - (2183*s[15])/36 - 
       (64061*s[16])/792 - (36505*s[17])/528 - (7865*s[18])/648 + 
       (793*s[19])/324 - (426245*s[20])/3564 - (282217*s[21])/7128 + 
       (94519*s[22])/3564 + (66515*s[23])/1584 + (563059*s[24])/14256 - 
       (1477661*s[25])/32076 + (1773649*s[26])/64152 + (17*s[36])/12 + 
       (119*s[37])/24 - (11*s[38])/4 - (35*s[39])/16 + (133*s[40])/48 + 
       (15*s[41])/16 + (383*s[42])/48 - (3865*s[43])/528 + (917*s[44])/1056 - 
       (6671*s[45])/528 + (929*s[46])/22 + (36083*s[47])/3168 - 
       (53479*s[48])/3168 + (92215*s[49])/3168 - (5755*s[50])/132 + 
       (12805*s[51])/3168 + (6181*s[52])/3168 + (2595*s[53])/88 + 
       (2897*s[54])/88 + (236285*s[55])/1056 + (62657*s[56])/3168 + 
       (409381*s[57])/2376 + (359257*s[58])/28512 - (1104385*s[59])/28512 - 
       (9339763*s[60])/19008 + (341533*s[61])/16038 + s[68]/2 - s[69]/2 + 
       s[71]/4 - s[76] + s[77]/2 + s[78]/2 + 5*s[79] - (43*s[80])/12 - 
       2*s[82] - 2*s[85]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      Phi6[u, v, w]*(s[2] - (27*s[3])/8 - (11*s[4])/16 - (1755*s[5])/176 - 
       (239*s[6])/22 - (44841*s[7])/352 - (4739*s[8])/2376 + 
       (48523*s[9])/432 + (28319*s[10])/432 + (397259*s[11])/3168 + 
       (170681*s[12])/1584 + (157715*s[13])/3168 + (237569*s[14])/3168 + 
       (63061*s[15])/288 + (401545*s[16])/1584 + (828491*s[17])/3168 + 
       (31667*s[18])/1296 + (48025*s[19])/1296 + (4720063*s[20])/14256 + 
       (3830357*s[21])/28512 - (1863607*s[22])/28512 + (25813*s[23])/1584 - 
       (2557661*s[24])/14256 + (33169091*s[25])/256608 - 
       (25630115*s[26])/256608 + s[31] + (3*s[33])/8 - 2*s[34] + 
       (17*s[36])/12 + (119*s[37])/24 - (11*s[38])/4 - (35*s[39])/16 + 
       (133*s[40])/48 + (15*s[41])/16 + (383*s[42])/48 - (3865*s[43])/528 + 
       (917*s[44])/1056 - (6671*s[45])/528 + (929*s[46])/22 + 
       (36083*s[47])/3168 - (53479*s[48])/3168 + (92215*s[49])/3168 - 
       (5755*s[50])/132 + (12805*s[51])/3168 + (6181*s[52])/3168 + 
       (2595*s[53])/88 + (2897*s[54])/88 + (236285*s[55])/1056 + 
       (62657*s[56])/3168 + (409381*s[57])/2376 + (359257*s[58])/28512 - 
       (1104385*s[59])/28512 - (9339763*s[60])/19008 + (341533*s[61])/16038 + 
       s[68]/2 - s[69]/2 + s[71]/4 - s[76] + s[77]/2 + s[78]/2 + 5*s[79] - 
       (43*s[80])/12 - 2*s[82] - 2*s[85]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*((3*s[2])/2 + 2*s[3] + (83*s[4])/4 + 
       (343*s[5])/22 + (3719*s[6])/88 + (141211*s[7])/396 - 
       (70541*s[8])/2376 - (65443*s[9])/216 - (8539*s[10])/108 - 
       (648893*s[11])/1584 - (746191*s[12])/1584 - (114289*s[13])/396 - 
       (11459*s[14])/396 - (15695*s[15])/36 - (471047*s[16])/792 - 
       (71391*s[17])/176 - (19993*s[18])/324 - (4079*s[19])/81 - 
       (2470865*s[20])/3564 - (1683211*s[21])/7128 + (1361135*s[22])/7128 + 
       (726293*s[23])/1584 + (5632741*s[24])/14256 - 
       (68762117*s[25])/128304 + (35186231*s[26])/128304 + s[30] + s[31] - 
       s[34] - (3*s[35])/2 - s[36]/4 + (57*s[37])/8 + (59*s[38])/4 - 
       (949*s[39])/16 + (1017*s[40])/16 - (667*s[41])/16 + (1347*s[42])/16 + 
       (7523*s[43])/176 - (17291*s[44])/352 + (5969*s[45])/176 - 
       (14243*s[46])/44 + (12125*s[47])/352 - (3209*s[48])/352 - 
       (67351*s[49])/352 + (4683*s[50])/22 + (57665*s[51])/1056 + 
       (16983*s[52])/352 - (37141*s[53])/264 + (3809*s[54])/88 - 
       (300527*s[55])/352 - (298955*s[56])/1056 + (571421*s[57])/792 - 
       (5893171*s[58])/9504 + (5553835*s[59])/9504 + (5175331*s[60])/2112 - 
       (1381955*s[61])/10692 + s[68] - s[69] + s[71]/4 - 2*s[76] + s[77] + 
       (3*s[78])/2 + 3*s[79] - (7*s[80])/4 - 2*s[82] - 2*s[85]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      (s[2] + (9*s[3])/8 + (295*s[4])/16 + (1421*s[5])/176 + (2537*s[6])/88 + 
       (628885*s[7])/3168 - (30221*s[8])/1188 - (69001*s[9])/432 - 
       (5285*s[10])/432 - (780767*s[11])/3168 - (497693*s[12])/1584 - 
       (653311*s[13])/3168 + (129451*s[14])/3168 - (51101*s[15])/288 - 
       (443777*s[16])/1584 - (122329*s[17])/1056 - (61529*s[18])/1296 - 
       (4789*s[19])/1296 - (4451035*s[20])/14256 - (3111197*s[21])/28512 + 
       (2969827*s[22])/28512 + (698725*s[23])/1584 + (2429939*s[24])/14256 - 
       (88272521*s[25])/256608 + (42354233*s[26])/256608 + s[30]/2 + s[31] - 
       (3*s[33])/8 - s[34] - (3*s[35])/2 - s[36]/4 + (57*s[37])/8 + 
       (59*s[38])/4 - (949*s[39])/16 + (1017*s[40])/16 - (667*s[41])/16 + 
       (1347*s[42])/16 + (7523*s[43])/176 - (17291*s[44])/352 + 
       (5969*s[45])/176 - (14243*s[46])/44 + (12125*s[47])/352 - 
       (3209*s[48])/352 - (67351*s[49])/352 + (4683*s[50])/22 + 
       (57665*s[51])/1056 + (16983*s[52])/352 - (37141*s[53])/264 + 
       (3809*s[54])/88 - (300527*s[55])/352 - (298955*s[56])/1056 + 
       (571421*s[57])/792 - (5893171*s[58])/9504 + (5553835*s[59])/9504 + 
       (5175331*s[60])/2112 - (1381955*s[61])/10692 + s[68] - s[69] + 
       s[71]/4 - 2*s[76] + s[77] + (3*s[78])/2 + 3*s[79] - (7*s[80])/4 - 
       2*s[82] - 2*s[85]) + F1[w, u, v]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      ((25*s[3])/4 - (419*s[4])/8 - (1409*s[5])/44 - (6537*s[6])/88 - 
       (138345*s[7])/176 + (52193*s[8])/792 + (24089*s[9])/36 + 
       (1783*s[10])/9 + (461057*s[11])/528 + (257051*s[12])/264 + 
       (309701*s[13])/528 + (35243*s[14])/528 + (16279*s[15])/16 + 
       (345163*s[16])/264 + (505547*s[17])/528 + (14953*s[18])/108 + 
       (25657*s[19])/216 + (3655621*s[20])/2376 + (2565149*s[21])/4752 - 
       (1995445*s[22])/4752 - (126037*s[23])/132 - (508943*s[24])/594 + 
       (3013592*s[25])/2673 - (6371561*s[26])/10692 + s[30] + (5*s[36])/4 - 
       (5*s[37])/3 - (57*s[38])/2 + (1983*s[39])/16 - (2291*s[40])/16 + 
       (1835*s[41])/16 - (2887*s[42])/16 - (18713*s[43])/176 + 
       (44123*s[44])/352 - (28117*s[45])/264 + (488195*s[46])/528 - 
       (36139*s[47])/1056 - (30397*s[48])/1056 + (544633*s[49])/1056 - 
       (32143*s[50])/44 - (44383*s[51])/352 - (98753*s[52])/1056 + 
       (774307*s[53])/1584 + (977*s[54])/132 + (3270445*s[55])/1056 + 
       (2477977*s[56])/3168 - (2027815*s[57])/2376 + (40650347*s[58])/28512 - 
       (41425301*s[59])/28512 - (5431227*s[60])/704 + 
       (96616409*s[61])/256608 + s[68]/2 - s[69]/2 - s[71]/4 + s[74] - 
       s[75] - s[76] + s[77]/2 + s[78]/2 - 19*s[79] + (23*s[80])/3 - 
       20*s[82] - s[83] - 2*s[84] - 2*s[85]) + F1[v, w, u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*(s[2] - (15*s[3])/8 - (1013*s[4])/16 - 
       (2719*s[5])/88 - (15615*s[6])/176 - (304663*s[7])/352 + 
       (349337*s[8])/4752 + (77803*s[9])/108 + (51349*s[10])/216 + 
       (3029033*s[11])/3168 + (1663955*s[12])/1584 + (1991405*s[13])/3168 + 
       (279647*s[14])/3168 + (336793*s[15])/288 + (2358529*s[16])/1584 + 
       (3622607*s[17])/3168 + (89095*s[18])/648 + (212443*s[19])/1296 + 
       (24386869*s[20])/14256 + (16865609*s[21])/28512 - 
       (12993877*s[22])/28512 - (764461*s[23])/792 - (3548603*s[24])/3564 + 
       (39682081*s[25])/32076 - (41782421*s[26])/64152 + s[31] - 2*s[34] + 
       (5*s[36])/4 - (5*s[37])/3 - (57*s[38])/2 + (1983*s[39])/16 - 
       (2291*s[40])/16 + (1835*s[41])/16 - (2887*s[42])/16 - 
       (18713*s[43])/176 + (44123*s[44])/352 - (28117*s[45])/264 + 
       (488195*s[46])/528 - (36139*s[47])/1056 - (30397*s[48])/1056 + 
       (544633*s[49])/1056 - (32143*s[50])/44 - (44383*s[51])/352 - 
       (98753*s[52])/1056 + (774307*s[53])/1584 + (977*s[54])/132 + 
       (3270445*s[55])/1056 + (2477977*s[56])/3168 - (2027815*s[57])/2376 + 
       (40650347*s[58])/28512 - (41425301*s[59])/28512 - 
       (5431227*s[60])/704 + (96616409*s[61])/256608 + s[68]/2 - s[69]/2 - 
       s[71]/4 + s[74] - s[75] - s[76] + s[77]/2 + s[78]/2 - 19*s[79] + 
       (23*s[80])/3 - 20*s[82] - s[83] - 2*s[84] - 2*s[85]) + 
     F1[u, v, w]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      ((3*s[2])/2 - (37*s[3])/8 + (1303*s[4])/16 + (476*s[5])/11 + 
       (20389*s[6])/176 + (399241*s[7])/352 - (579611*s[8])/4752 - 
       (204089*s[9])/216 - (54625*s[10])/216 - (4064969*s[11])/3168 - 
       (1166053*s[12])/792 - (2799047*s[13])/3168 - (57689*s[14])/3168 - 
       (405331*s[15])/288 - (2966587*s[16])/1584 - (4137011*s[17])/3168 - 
       (126769*s[18])/648 - (218149*s[19])/1296 - (30394783*s[20])/14256 - 
       (21130331*s[21])/28512 + (17061787*s[22])/28512 + 
       (2490509*s[23])/1584 + (17200151*s[24])/14256 - 
       (108258797*s[25])/64152 + (6989371*s[26])/8019 - 2*s[29] + s[30]/2 - 
       s[31] - s[32] - s[33] - s[35] - (7*s[36])/4 + (145*s[37])/24 + 
       21*s[38] - (1469*s[39])/16 + (1457*s[40])/16 - (1033*s[41])/16 + 
       (2193*s[42])/16 + (8755*s[43])/176 - (22901*s[44])/352 + 
       (21647*s[45])/528 - (30973*s[46])/66 + (65701*s[47])/1056 - 
       (57653*s[48])/1056 - (268735*s[49])/1056 + (29743*s[50])/88 + 
       (95923*s[51])/1056 + (79439*s[52])/1056 - (44969*s[53])/198 + 
       (1207*s[54])/33 - (1415743*s[55])/1056 - (1311499*s[56])/3168 + 
       (2566675*s[57])/2376 - (26054099*s[58])/28512 + 
       (25173899*s[59])/28512 + (7370381*s[60])/2112 - 
       (25026895*s[61])/128304 - s[65]/2 - s[66] + 2*s[67] + (5*s[68])/2 + 
       (5*s[69])/2 + s[71]/2 + 2*s[72] - 2*s[73] - s[74] + s[75] + 
       (3*s[76])/2 + s[77]/2 + 2*s[78] + 4*s[79] - (47*s[80])/12 - 11*s[82] + 
       s[83]/2 + s[84] - 2*s[85]) + F1[u, v, w]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*((-9*s[2])/4 - (23*s[3])/4 - (127*s[4])/8 - 
       (1823*s[5])/176 - (6491*s[6])/176 - (55447*s[7])/176 + 
       (8075*s[8])/528 + (12529*s[9])/48 + (5279*s[10])/48 + 
       (60293*s[11])/176 + (15709*s[12])/44 + (38193*s[13])/176 + 
       (11465*s[14])/176 + (10603*s[15])/24 + (48869*s[16])/88 + 
       (10327*s[17])/22 + (5507*s[18])/144 + (3055*s[19])/36 + 
       (63967*s[20])/99 + (171605*s[21])/792 - (257375*s[22])/1584 - 
       (27567*s[23])/176 - (645743*s[24])/1584 + (12374777*s[25])/28512 - 
       (6547061*s[26])/28512 - s[30] - s[31]/2 + (3*s[32])/4 - (3*s[33])/8 - 
       s[35] - (7*s[36])/4 + (145*s[37])/24 + 21*s[38] - (1469*s[39])/16 + 
       (1457*s[40])/16 - (1033*s[41])/16 + (2193*s[42])/16 + 
       (8755*s[43])/176 - (22901*s[44])/352 + (21647*s[45])/528 - 
       (30973*s[46])/66 + (65701*s[47])/1056 - (57653*s[48])/1056 - 
       (268735*s[49])/1056 + (29743*s[50])/88 + (95923*s[51])/1056 + 
       (79439*s[52])/1056 - (44969*s[53])/198 + (1207*s[54])/33 - 
       (1415743*s[55])/1056 - (1311499*s[56])/3168 + (2566675*s[57])/2376 - 
       (26054099*s[58])/28512 + (25173899*s[59])/28512 + 
       (7370381*s[60])/2112 - (25026895*s[61])/128304 - s[65]/2 - s[66] + 
       2*s[67] + (5*s[68])/2 + (5*s[69])/2 + s[71]/2 + 2*s[72] - 2*s[73] - 
       s[74] + s[75] + (3*s[76])/2 + s[77]/2 + 2*s[78] + 4*s[79] - 
       (47*s[80])/12 - 11*s[82] + s[83]/2 + s[84] - 2*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      ((-17*s[3])/8 - (25*s[4])/16 - (139*s[5])/44 - (691*s[6])/176 - 
       (11951*s[7])/352 + (4075*s[8])/1584 + (2065*s[9])/72 + 
       (635*s[10])/72 + (30325*s[11])/1056 + (3085*s[12])/132 + 
       (11527*s[13])/1056 + (10117*s[14])/1056 + (5759*s[15])/96 + 
       (29825*s[16])/528 + (67567*s[17])/1056 + (1715*s[18])/216 + 
       (1541*s[19])/432 + (327509*s[20])/4752 + (267763*s[21])/9504 - 
       (148283*s[22])/9504 - (20311*s[23])/528 - (148627*s[24])/4752 + 
       (744325*s[25])/21384 - (63659*s[26])/2673 - (3*s[30])/2 + s[36] - 
       (53*s[37])/24 - (5*s[38])/2 + (13*s[39])/8 + (7*s[40])/8 - 
       (23*s[41])/8 - (17*s[42])/8 + (169*s[43])/88 - (1775*s[44])/176 - 
       (91*s[45])/528 - (11621*s[46])/528 - (379*s[47])/33 + 
       (6637*s[48])/264 - (4901*s[49])/132 + (695*s[50])/22 - 
       (1469*s[51])/264 - (5279*s[52])/528 - (24433*s[53])/1584 - 
       (2383*s[54])/66 - (7651*s[55])/66 - (6409*s[56])/792 - 
       (54881*s[57])/594 + (61301*s[58])/14256 + (24439*s[59])/3564 + 
       (355019*s[60])/1056 - (2140937*s[61])/256608 - s[68]/2 + s[69]/2 + 
       s[71]/4 + s[76] - s[77]/2 - s[78]/2 + s[79] - (23*s[80])/12 + 
       (43*s[82])/2 + 2*s[85]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      Phi6[u, v, w]*(-s[2] + (27*s[3])/8 + (87*s[4])/16 + (203*s[5])/176 + 
       (881*s[6])/88 + (25955*s[7])/352 - (13231*s[8])/2376 - 
       (22483*s[9])/432 - (18881*s[10])/432 - (247583*s[11])/3168 - 
       (56983*s[12])/792 - (115877*s[13])/3168 - (110339*s[14])/3168 - 
       (39379*s[15])/288 - (274867*s[16])/1584 - (553175*s[17])/3168 - 
       (4031*s[18])/1296 - (49939*s[19])/1296 - (2581759*s[20])/14256 - 
       (1794119*s[21])/28512 + (1034101*s[22])/28512 - (12311*s[23])/792 + 
       (937543*s[24])/7128 - (23518925*s[25])/256608 + 
       (13808933*s[26])/256608 - s[31] - (3*s[33])/8 + 2*s[34] + s[36] - 
       (53*s[37])/24 - (5*s[38])/2 + (13*s[39])/8 + (7*s[40])/8 - 
       (23*s[41])/8 - (17*s[42])/8 + (169*s[43])/88 - (1775*s[44])/176 - 
       (91*s[45])/528 - (11621*s[46])/528 - (379*s[47])/33 + 
       (6637*s[48])/264 - (4901*s[49])/132 + (695*s[50])/22 - 
       (1469*s[51])/264 - (5279*s[52])/528 - (24433*s[53])/1584 - 
       (2383*s[54])/66 - (7651*s[55])/66 - (6409*s[56])/792 - 
       (54881*s[57])/594 + (61301*s[58])/14256 + (24439*s[59])/3564 + 
       (355019*s[60])/1056 - (2140937*s[61])/256608 - s[68]/2 + s[69]/2 + 
       s[71]/4 + s[76] - s[77]/2 - s[78]/2 + s[79] - (23*s[80])/12 + 
       (43*s[82])/2 + 2*s[85]) + F1[v, w, u]*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((3*s[2])/2 - (53*s[3])/4 - (819*s[4])/8 - 
       (545*s[5])/22 - (9969*s[6])/88 - (1702397*s[7])/1584 + 
       (305629*s[8])/2376 + (92965*s[9])/108 + (24845*s[10])/108 + 
       (1936075*s[11])/1584 + (561263*s[12])/396 + (1369565*s[13])/1584 - 
       (133697*s[14])/1584 + (193903*s[15])/144 + (176270*s[16])/99 + 
       (639043*s[17])/528 + (57545*s[18])/324 + (117977*s[19])/648 + 
       (13687823*s[20])/7128 + (8998441*s[21])/14256 - 
       (7889489*s[22])/14256 - (669523*s[23])/396 - (1009457*s[24])/891 + 
       (53287255*s[25])/32076 - (26157961*s[26])/32076 + 2*s[29] - s[30] - 
       s[33]/2 + s[34] + s[35] + (20*s[36])/3 - (79*s[37])/12 - 50*s[38] + 
       (393*s[39])/2 - (1249*s[40])/6 + (315*s[41])/2 - (1697*s[42])/6 - 
       (901*s[43])/6 + (3985*s[44])/24 - (3493*s[45])/24 + (30347*s[46])/24 - 
       (6359*s[47])/72 + (1429*s[48])/72 + (50717*s[49])/72 - 
       (11195*s[50])/12 - (13579*s[51])/72 - (11425*s[52])/72 + 
       (46603*s[53])/72 - (41*s[54])/3 + (31919*s[55])/8 + (25927*s[56])/24 - 
       (10771*s[57])/6 + (230651*s[58])/108 - (465277*s[59])/216 - 
       (2132947*s[60])/216 + (2066137*s[61])/3888 + s[65]/2 + s[66] - 
       2*s[67] - 2*s[68] - 3*s[69] - 2*s[72] + 2*s[73] + (3*s[74])/2 - 
       (3*s[75])/2 + s[76] + s[77] - 4*s[78] - (7*s[80])/6 + 44*s[82] + 
       4*s[85]) + F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-7*s[2])/2 - (7*s[3])/4 - (425*s[4])/8 - (6345*s[5])/88 - 
       (1695*s[6])/11 - (610979*s[7])/528 + (45503*s[8])/594 + 
       (215575*s[9])/216 + (62525*s[10])/216 + (2029865*s[11])/1584 + 
       (1099199*s[12])/792 + (1335401*s[13])/1584 + (348923*s[14])/1584 + 
       (216829*s[15])/144 + (192923*s[16])/99 + (2407301*s[17])/1584 + 
       (166385*s[18])/648 + (73111*s[19])/648 + (16716067*s[20])/7128 + 
       (13344803*s[21])/14256 - (8736109*s[22])/14256 - (543865*s[23])/396 - 
       (1060270*s[24])/891 + (201738035*s[25])/128304 - 
       (120273815*s[26])/128304 - s[30] - 2*s[31] + s[32] - s[33]/2 + 
       4*s[34] + s[35] + (20*s[36])/3 - (79*s[37])/12 - 50*s[38] + 
       (393*s[39])/2 - (1249*s[40])/6 + (315*s[41])/2 - (1697*s[42])/6 - 
       (901*s[43])/6 + (3985*s[44])/24 - (3493*s[45])/24 + (30347*s[46])/24 - 
       (6359*s[47])/72 + (1429*s[48])/72 + (50717*s[49])/72 - 
       (11195*s[50])/12 - (13579*s[51])/72 - (11425*s[52])/72 + 
       (46603*s[53])/72 - (41*s[54])/3 + (31919*s[55])/8 + (25927*s[56])/24 - 
       (10771*s[57])/6 + (230651*s[58])/108 - (465277*s[59])/216 - 
       (2132947*s[60])/216 + (2066137*s[61])/3888 + s[65]/2 + s[66] - 
       2*s[67] - 2*s[68] - 3*s[69] - 2*s[72] + 2*s[73] + (3*s[74])/2 - 
       (3*s[75])/2 + s[76] + s[77] - 4*s[78] - (7*s[80])/6 + 44*s[82] + 
       4*s[85]) + F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((9*s[2])/2 + (7*s[3])/4 + (693*s[4])/8 + (1669*s[5])/22 + 
       (12995*s[6])/88 + (787273*s[7])/528 - (317815*s[8])/2376 - 
       (136489*s[9])/108 - (39173*s[10])/108 - (2660461*s[11])/1584 - 
       (187172*s[12])/99 - (1784767*s[13])/1584 - (178669*s[14])/1584 - 
       (274457*s[15])/144 - (991627*s[16])/396 - (2878087*s[17])/1584 - 
       (21914*s[18])/81 - (147935*s[19])/648 - (20833469*s[20])/7128 - 
       (15078739*s[21])/14256 + (11257811*s[22])/14256 + (360325*s[23])/198 + 
       (2918203*s[24])/1782 - (17303062*s[25])/8019 + (9300487*s[26])/8019 - 
       3*s[29] + s[30] + s[31] - s[32]/2 + s[33]/2 - s[35] - (65*s[36])/6 + 
       (11*s[37])/2 + 77*s[38] - (2235*s[39])/8 + (7037*s[40])/24 - 
       (1759*s[41])/8 + (9289*s[42])/24 + (62023*s[43])/264 - 
       (130751*s[44])/528 + (10809*s[45])/44 - (515071*s[46])/264 + 
       (164185*s[47])/1584 - (1673*s[48])/1584 - (1798651*s[49])/1584 + 
       (198071*s[50])/132 + (395039*s[51])/1584 + (324713*s[52])/1584 - 
       (816755*s[53])/792 - (5227*s[54])/66 - (3402881*s[55])/528 - 
       (2484409*s[56])/1584 + (2350735*s[57])/1188 - (44037575*s[58])/14256 + 
       (45406565*s[59])/14256 + (152884033*s[60])/9504 - 
       (102108689*s[61])/128304 - s[65]/2 - s[66] + 2*s[67] + 3*s[68] + 
       3*s[69] + s[70] + s[71] + 2*s[72] - 4*s[73] - (3*s[74])/2 + 
       (3*s[75])/2 - 3*s[76] - s[77] + 4*s[78] - 10*s[79] + 7*s[80] + 
       59*s[82] + (3*s[83])/2 + 3*s[84] + 4*s[85]) + 
     F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*((7*s[2])/2 + 31*s[3] + 
       (525*s[4])/4 + (3973*s[5])/44 + (2154*s[6])/11 + (1569935*s[7])/792 - 
       (48965*s[8])/297 - (177481*s[9])/108 - (58301*s[10])/108 - 
       (218215*s[11])/99 - (955601*s[12])/396 - (193169*s[13])/132 - 
       (12145*s[14])/99 - (21469*s[15])/8 - (298239*s[16])/88 - 
       (516355*s[17])/198 - (105719*s[18])/324 - (31714*s[19])/81 - 
       (13723573*s[20])/3564 - (2463167*s[21])/1782 + (917531*s[22])/891 + 
       (600761*s[23])/264 + (16126045*s[24])/7128 - (45714173*s[25])/16038 + 
       (48723157*s[26])/32076 + 2*s[31] + s[32]/2 + 2*s[33] - 4*s[34] - 
       s[35] - (65*s[36])/6 + (11*s[37])/2 + 77*s[38] - (2235*s[39])/8 + 
       (7037*s[40])/24 - (1759*s[41])/8 + (9289*s[42])/24 + 
       (62023*s[43])/264 - (130751*s[44])/528 + (10809*s[45])/44 - 
       (515071*s[46])/264 + (164185*s[47])/1584 - (1673*s[48])/1584 - 
       (1798651*s[49])/1584 + (198071*s[50])/132 + (395039*s[51])/1584 + 
       (324713*s[52])/1584 - (816755*s[53])/792 - (5227*s[54])/66 - 
       (3402881*s[55])/528 - (2484409*s[56])/1584 + (2350735*s[57])/1188 - 
       (44037575*s[58])/14256 + (45406565*s[59])/14256 + 
       (152884033*s[60])/9504 - (102108689*s[61])/128304 - s[65]/2 - s[66] + 
       2*s[67] + 3*s[68] + 3*s[69] + s[70] + s[71] + 2*s[72] - 4*s[73] - 
       (3*s[74])/2 + (3*s[75])/2 - 3*s[76] - s[77] + 4*s[78] - 10*s[79] + 
       7*s[80] + 59*s[82] + (3*s[83])/2 + 3*s[84] + 4*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*Phi6[u, v, w]*
      ((-9*s[4])/2 + (257*s[5])/44 - (37*s[6])/11 + (4889*s[7])/132 + 
       (65*s[8])/22 - 30*s[9] - (149*s[10])/4 - (2191*s[11])/88 + 
       (293*s[12])/88 + (719*s[13])/132 - (931*s[14])/44 - (346*s[15])/3 - 
       (10999*s[16])/132 - (34789*s[17])/264 - (13*s[18])/36 - 
       (565*s[19])/18 - (10421*s[20])/99 - (24733*s[21])/396 + 
       (159*s[22])/11 - (27035*s[23])/264 + (7563*s[24])/88 - 
       (10588*s[25])/891 + (125467*s[26])/3564 - 2*s[30] - s[36] - 16*s[37] - 
       2*s[38] + (61*s[39])/4 - (49*s[40])/4 - (11*s[41])/4 - (109*s[42])/4 + 
       (829*s[43])/44 - (127*s[44])/11 + (455*s[45])/11 - (8579*s[46])/44 - 
       (3331*s[47])/66 + (9343*s[48])/132 - (3457*s[49])/33 + 
       (4569*s[50])/22 - (3185*s[51])/132 - (3481*s[52])/132 - 
       (7067*s[53])/44 - (2157*s[54])/22 - (149371*s[55])/132 - 
       (5144*s[56])/33 - (343639*s[57])/396 - (23863*s[58])/1188 + 
       (160411*s[59])/1188 + (869969*s[60])/396 - (1171573*s[61])/10692 - 
       2*s[68] + 2*s[69] + 4*s[76] - 2*s[77] - 2*s[78] - 8*s[79] + 2*s[80] + 
       38*s[82] + 8*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      Phi6[u, v, w]*(-4*s[2] + (27*s[3])/2 + (45*s[4])/4 + (903*s[5])/44 + 
       (2185*s[6])/44 + (47249*s[7])/132 - (932*s[8])/99 - (10261*s[9])/36 - 
       (1757*s[10])/9 - (90383*s[11])/264 - (73153*s[12])/264 - 
       (4133*s[13])/33 - (30181*s[14])/132 - (1357*s[15])/2 - 
       (25346*s[16])/33 - (74257*s[17])/88 - (5051*s[18])/108 - 
       (7193*s[19])/54 - (1093093*s[20])/1188 - (429067*s[21])/1188 + 
       (204647*s[22])/1188 - (24829*s[23])/264 + (1313809*s[24])/2376 - 
       (971860*s[25])/2673 + (1469753*s[26])/5346 - 4*s[31] - (3*s[33])/2 + 
       8*s[34] - s[36] - 16*s[37] - 2*s[38] + (61*s[39])/4 - (49*s[40])/4 - 
       (11*s[41])/4 - (109*s[42])/4 + (829*s[43])/44 - (127*s[44])/11 + 
       (455*s[45])/11 - (8579*s[46])/44 - (3331*s[47])/66 + 
       (9343*s[48])/132 - (3457*s[49])/33 + (4569*s[50])/22 - 
       (3185*s[51])/132 - (3481*s[52])/132 - (7067*s[53])/44 - 
       (2157*s[54])/22 - (149371*s[55])/132 - (5144*s[56])/33 - 
       (343639*s[57])/396 - (23863*s[58])/1188 + (160411*s[59])/1188 + 
       (869969*s[60])/396 - (1171573*s[61])/10692 - 2*s[68] + 2*s[69] + 
       4*s[76] - 2*s[77] - 2*s[78] - 8*s[79] + 2*s[80] + 38*s[82] + 
       8*s[85]) + F1[w, u, v]*HPL[{0, 1, 1}, 1 - v]*
      ((-7*s[3])/4 + (67*s[4])/8 + (219*s[5])/44 + (1911*s[6])/88 + 
       (81659*s[7])/528 - (23777*s[8])/2376 - (3785*s[9])/27 - 
       (1799*s[10])/54 - (271889*s[11])/1584 - (19363*s[12])/99 - 
       (199739*s[13])/1584 - (48029*s[14])/1584 - (25927*s[15])/144 - 
       (200581*s[16])/792 - (279263*s[17])/1584 - (5813*s[18])/162 - 
       (1981*s[19])/648 - (2194879*s[20])/7128 - (1748603*s[21])/14256 + 
       (1231843*s[22])/14256 + (149771*s[23])/792 + (1119497*s[24])/7128 - 
       (13653763*s[25])/64152 + (8231389*s[26])/64152 + 2*s[30] + s[36]/2 - 
       (79*s[37])/12 + s[38] - (209*s[39])/8 + (349*s[40])/8 - 
       (357*s[41])/8 + (365*s[42])/8 + (3767*s[43])/88 - (9069*s[44])/176 + 
       (14899*s[45])/264 - (13919*s[46])/33 - (11353*s[47])/528 + 
       (32933*s[48])/528 - (111317*s[49])/528 + (3997*s[50])/11 + 
       (15605*s[51])/528 + (8023*s[52])/528 - (51173*s[53])/198 - 
       (1447*s[54])/66 - (911773*s[55])/528 - (647945*s[56])/1584 - 
       (308467*s[57])/1188 - (6698161*s[58])/14256 + (7626637*s[59])/14256 + 
       (1345809*s[60])/352 - (13352291*s[61])/64152 - 2*s[68] + 2*s[69] + 
       4*s[76] - 2*s[77] - 2*s[78] + 12*s[79] - (61*s[80])/6 + 39*s[82] + 
       8*s[85]) + F1[v, w, u]*HPL[{0, 1, 1}, 1 - w]*(-4*s[2] + (27*s[3])/2 + 
       (161*s[4])/4 + (189*s[5])/8 + (687*s[6])/8 + (3805*s[7])/6 - 
       (9805*s[8])/216 - (109255*s[9])/216 - (53825*s[10])/216 - 
       (46739*s[11])/72 - (45529*s[12])/72 - (12397*s[13])/36 - 
       (4079*s[14])/18 - (74285*s[15])/72 - (43579*s[16])/36 - 
       (20741*s[17])/18 - (62555*s[18])/648 - (26269*s[19])/162 - 
       (459793*s[20])/324 - (337001*s[21])/648 + (102209*s[22])/324 + 
       (12329*s[23])/36 + (67457*s[24])/81 - (9126673*s[25])/11664 + 
       (5620597*s[26])/11664 - 4*s[31] - (3*s[33])/2 + 10*s[34] + s[36]/2 - 
       (79*s[37])/12 + s[38] - (209*s[39])/8 + (349*s[40])/8 - 
       (357*s[41])/8 + (365*s[42])/8 + (3767*s[43])/88 - (9069*s[44])/176 + 
       (14899*s[45])/264 - (13919*s[46])/33 - (11353*s[47])/528 + 
       (32933*s[48])/528 - (111317*s[49])/528 + (3997*s[50])/11 + 
       (15605*s[51])/528 + (8023*s[52])/528 - (51173*s[53])/198 - 
       (1447*s[54])/66 - (911773*s[55])/528 - (647945*s[56])/1584 - 
       (308467*s[57])/1188 - (6698161*s[58])/14256 + (7626637*s[59])/14256 + 
       (1345809*s[60])/352 - (13352291*s[61])/64152 - 2*s[68] + 2*s[69] + 
       4*s[76] - 2*s[77] - 2*s[78] + 12*s[79] - (61*s[80])/6 + 39*s[82] + 
       8*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*Phi6[u, v, w]*
      ((-3*s[3])/2 + (33*s[4])/4 + (485*s[5])/22 + (113*s[6])/44 + 
       (29291*s[7])/88 - (9337*s[8])/396 - (2570*s[9])/9 - (1210*s[10])/9 - 
       (93481*s[11])/264 - (12010*s[12])/33 - (46471*s[13])/264 - 
       (19117*s[14])/264 - (12823*s[15])/24 - (84287*s[16])/132 - 
       (147211*s[17])/264 - (1192*s[18])/27 - (10805*s[19])/108 - 
       (918821*s[20])/1188 - (638191*s[21])/2376 + (425063*s[22])/2376 + 
       (30193*s[23])/132 + (537055*s[24])/1188 - (4564871*s[25])/10692 + 
       (2539511*s[26])/10692 - 2*s[30] + 4*s[36] - (31*s[37])/3 - 9*s[38] - 
       (17*s[39])/2 + (41*s[40])/2 - 23*s[41] + 17*s[42] + (513*s[43])/22 - 
       (1175*s[44])/22 + (2713*s[45])/66 - (10853*s[46])/33 - 
       (382*s[47])/11 + (1623*s[48])/22 - (2319*s[49])/11 + (7219*s[50])/22 - 
       (43*s[51])/11 - (353*s[52])/11 - (22522*s[53])/99 - (7969*s[54])/66 - 
       (99163*s[55])/66 - (27128*s[56])/99 - (306551*s[57])/594 - 
       (474935*s[58])/1782 + (661073*s[59])/1782 + (1331273*s[60])/396 - 
       (5410627*s[61])/32076 - 2*s[68] + 2*s[69] + s[71] + 4*s[76] - 
       2*s[77] - 2*s[78] + 4*s[79] - (32*s[80])/3 + 116*s[82] + 8*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*Phi6[u, v, w]*
      (-4*s[2] + (27*s[3])/2 + (75*s[4])/4 + (85*s[5])/11 + (2325*s[6])/44 + 
       (76211*s[7])/264 - (32123*s[8])/1188 - (5407*s[9])/27 - 
       (4232*s[10])/27 - (238349*s[11])/792 - (55237*s[12])/198 - 
       (110831*s[13])/792 - (118169*s[14])/792 - (36883*s[15])/72 - 
       (258223*s[16])/396 - (529367*s[17])/792 - (3559*s[18])/162 - 
       (42451*s[19])/324 - (2463733*s[20])/3564 - (1774679*s[21])/7128 + 
       (965287*s[22])/7128 - (5629*s[23])/396 + (1726469*s[24])/3564 - 
       (5657933*s[25])/16038 + (3498707*s[26])/16038 - 4*s[31] - 3*s[33] + 
       10*s[34] + 4*s[36] - (31*s[37])/3 - 9*s[38] - (17*s[39])/2 + 
       (41*s[40])/2 - 23*s[41] + 17*s[42] + (513*s[43])/22 - 
       (1175*s[44])/22 + (2713*s[45])/66 - (10853*s[46])/33 - 
       (382*s[47])/11 + (1623*s[48])/22 - (2319*s[49])/11 + (7219*s[50])/22 - 
       (43*s[51])/11 - (353*s[52])/11 - (22522*s[53])/99 - (7969*s[54])/66 - 
       (99163*s[55])/66 - (27128*s[56])/99 - (306551*s[57])/594 - 
       (474935*s[58])/1782 + (661073*s[59])/1782 + (1331273*s[60])/396 - 
       (5410627*s[61])/32076 - 2*s[68] + 2*s[69] + s[71] + 4*s[76] - 
       2*s[77] - 2*s[78] + 4*s[79] - (32*s[80])/3 + 116*s[82] + 8*s[85]) + 
     F1[u, v, w]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((5*s[2])/2 - (11*s[3])/2 + (1165*s[4])/8 + (14907*s[5])/88 + 
       (3794*s[6])/11 + (308432*s[7])/99 - (129133*s[8])/594 - 
       (72547*s[9])/27 - (187441*s[10])/216 - (2677685*s[11])/792 - 
       (2868721*s[12])/792 - (850847*s[13])/396 - (489251*s[14])/792 - 
       (151681*s[15])/36 - (4180609*s[16])/792 - (1110713*s[17])/264 - 
       (50540*s[18])/81 - (128857*s[19])/324 - (22998319*s[20])/3564 - 
       (2180275*s[21])/891 + (11777905*s[22])/7128 + (2597303*s[23])/792 + 
       (24149725*s[24])/7128 - (133695979*s[25])/32076 + 
       (77831341*s[26])/32076 + s[29] - s[30]/2 + 2*s[31] + (3*s[32])/2 + 
       s[33]/8 - s[34]/2 - 2*s[35] - (7*s[36])/3 + (19*s[37])/3 + 98*s[38] - 
       (785*s[39])/2 + (2717*s[40])/6 - (719*s[41])/2 + (3385*s[42])/6 + 
       (23983*s[43])/66 - (50339*s[44])/132 + (63109*s[45])/132 - 
       (153763*s[46])/44 + (95261*s[47])/792 + (70841*s[48])/792 - 
       (1299719*s[49])/792 + (357809*s[50])/132 + (320005*s[51])/792 + 
       (125651*s[52])/396 - (61936*s[53])/33 + (349*s[54])/11 - 
       (3199253*s[55])/264 - (2568133*s[56])/792 + (1549843*s[57])/594 - 
       (38175611*s[58])/7128 + (38393195*s[59])/7128 + 
       (137527847*s[60])/4752 - (102534365*s[61])/64152 + s[65]/2 + s[66] - 
       2*s[67] - 4*s[69] + s[70] - s[71]/2 + 4*s[73] - s[74] + s[75] - 
       s[76] + s[77] - 2*s[78] + 48*s[79] - (40*s[80])/3 + 34*s[82] - 
       (3*s[83])/4 + (21*s[84])/2 + 14*s[85]) + F1[u, v, w]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*(s[2]/2 + (41*s[3])/2 + (1679*s[4])/8 + 
       (11003*s[5])/88 + (7785*s[6])/22 + (2567161*s[7])/792 - 
       (109685*s[8])/396 - (97609*s[9])/36 - (63133*s[10])/72 - 
       (312607*s[11])/88 - (513815*s[12])/132 - (1834967*s[13])/792 - 
       (4368*s[14])/11 - (311863*s[15])/72 - (4357799*s[16])/792 - 
       (3360391*s[17])/792 - (1751*s[18])/3 - (18389*s[19])/36 - 
       (427417*s[20])/66 - (5449909*s[21])/2376 + (2010623*s[22])/1188 + 
       (739855*s[23])/198 + (4258877*s[24])/1188 - (48579767*s[25])/10692 + 
       (26364401*s[26])/10692 + s[30]/2 - s[31] + s[32]/2 - (5*s[33])/8 + 
       (7*s[34])/2 - 2*s[35] - (7*s[36])/3 + (19*s[37])/3 + 98*s[38] - 
       (785*s[39])/2 + (2717*s[40])/6 - (719*s[41])/2 + (3385*s[42])/6 + 
       (23983*s[43])/66 - (50339*s[44])/132 + (63109*s[45])/132 - 
       (153763*s[46])/44 + (95261*s[47])/792 + (70841*s[48])/792 - 
       (1299719*s[49])/792 + (357809*s[50])/132 + (320005*s[51])/792 + 
       (125651*s[52])/396 - (61936*s[53])/33 + (349*s[54])/11 - 
       (3199253*s[55])/264 - (2568133*s[56])/792 + (1549843*s[57])/594 - 
       (38175611*s[58])/7128 + (38393195*s[59])/7128 + 
       (137527847*s[60])/4752 - (102534365*s[61])/64152 + s[65]/2 + s[66] - 
       2*s[67] - 4*s[69] + s[70] - s[71]/2 + 4*s[73] - s[74] + s[75] - 
       s[76] + s[77] - 2*s[78] + 48*s[79] - (40*s[80])/3 + 34*s[82] - 
       (3*s[83])/4 + (21*s[84])/2 + 14*s[85]) + F1[u, v, w]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*(12*s[2] + (55*s[3])/4 + (807*s[4])/2 + 
       (7147*s[5])/22 + (17117*s[6])/22 + (11004563*s[7])/1584 - 
       (338171*s[8])/594 - (1269055*s[9])/216 - (48997*s[10])/27 - 
       (12114719*s[11])/1584 - (6632099*s[12])/792 - (2648065*s[13])/528 - 
       (1448267*s[14])/1584 - (146951*s[15])/16 - (1031449*s[16])/88 - 
       (14290543*s[17])/1584 - (841073*s[18])/648 - (645247*s[19])/648 - 
       (98711005*s[20])/7128 - (72178397*s[21])/14256 + 
       (52099381*s[22])/14256 + (1066247*s[23])/132 + (6712498*s[24])/891 - 
       (1244607509*s[25])/128304 + (688025801*s[26])/128304 - 3*s[29] + 
       (3*s[30])/2 + 4*s[31] + (25*s[33])/8 - (11*s[34])/2 - 5*s[35] - 
       (125*s[36])/6 + (325*s[37])/12 + (483*s[38])/2 - (7935*s[39])/8 + 
       (26369*s[40])/24 - (6797*s[41])/8 + (34471*s[42])/24 + 
       (219523*s[43])/264 - (478067*s[44])/528 + (245735*s[45])/264 - 
       (328231*s[46])/44 + (599239*s[47])/1584 + (45301*s[48])/1584 - 
       (6081205*s[49])/1584 + (187967*s[50])/33 + (1567193*s[51])/1584 + 
       (1256309*s[52])/1584 - (520171*s[53])/132 + (6351*s[54])/44 - 
       (13109663*s[55])/528 - (10500995*s[56])/1584 + (4588603*s[57])/594 - 
       (169768459*s[58])/14256 + (171255979*s[59])/14256 + 
       (574367317*s[60])/9504 - (104200417*s[61])/32076 - s[65] - 2*s[66] + 
       4*s[67] + 5*s[68] + 5*s[69] + 4*s[70] + s[71] + 6*s[72] - 8*s[73] - 
       (11*s[74])/2 + (11*s[75])/2 - 6*s[76] - 6*s[77] + 10*s[78] + 
       72*s[79] - (125*s[80])/6 + 37*s[82] + (9*s[83])/4 + (33*s[84])/2 + 
       14*s[85]) + F1[u, v, w]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      (6*s[2] + (65*s[3])/2 + (3489*s[4])/8 + (23301*s[5])/88 + 
       (31223*s[6])/44 + (2551787*s[7])/396 - (690559*s[8])/1188 - 
       (581993*s[9])/108 - (347411*s[10])/216 - (2827013*s[11])/396 - 
       (6274397*s[12])/792 - (1257803*s[13])/264 - (215669*s[14])/396 - 
       (25285*s[15])/3 - (475611*s[16])/44 - (3203239*s[17])/396 - 
       (389497*s[18])/324 - (149827*s[19])/162 - (44795057*s[20])/3564 - 
       (32165065*s[21])/7128 + (12026011*s[22])/3564 + (1089257*s[23])/132 + 
       (24556267*s[24])/3564 - (295072001*s[25])/32076 + 
       (79600027*s[26])/16038 - s[29] + (3*s[30])/2 + 2*s[31] + s[32] + 
       (25*s[33])/8 - (9*s[34])/2 - 5*s[35] - (125*s[36])/6 + 
       (325*s[37])/12 + (483*s[38])/2 - (7935*s[39])/8 + (26369*s[40])/24 - 
       (6797*s[41])/8 + (34471*s[42])/24 + (219523*s[43])/264 - 
       (478067*s[44])/528 + (245735*s[45])/264 - (328231*s[46])/44 + 
       (599239*s[47])/1584 + (45301*s[48])/1584 - (6081205*s[49])/1584 + 
       (187967*s[50])/33 + (1567193*s[51])/1584 + (1256309*s[52])/1584 - 
       (520171*s[53])/132 + (6351*s[54])/44 - (13109663*s[55])/528 - 
       (10500995*s[56])/1584 + (4588603*s[57])/594 - (169768459*s[58])/
        14256 + (171255979*s[59])/14256 + (574367317*s[60])/9504 - 
       (104200417*s[61])/32076 - s[65] - 2*s[66] + 4*s[67] + 5*s[68] + 
       5*s[69] + 4*s[70] + s[71] + 6*s[72] - 8*s[73] - (11*s[74])/2 + 
       (11*s[75])/2 - 6*s[76] - 6*s[77] + 10*s[78] + 72*s[79] - 
       (125*s[80])/6 + 37*s[82] + (9*s[83])/4 + (33*s[84])/2 + 14*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*
      ((-13*s[2])/4 - (83*s[3])/8 - (77*s[4])/16 - (434*s[5])/11 - 
       (15883*s[6])/176 - (209789*s[7])/352 + (71689*s[8])/4752 + 
       (107695*s[9])/216 + (52037*s[10])/216 + (1948603*s[11])/3168 + 
       (116183*s[12])/198 + (1103161*s[13])/3168 + (850543*s[14])/3168 + 
       (249623*s[15])/288 + (420713*s[16])/396 + (3209857*s[17])/3168 + 
       (88973*s[18])/648 + (124475*s[19])/1296 + (19358579*s[20])/14256 + 
       (16009561*s[21])/28512 - (8577821*s[22])/28512 - (147863*s[23])/792 - 
       (2515639*s[24])/3564 + (5536526*s[25])/8019 - (15210713*s[26])/32076 + 
       (3*s[30])/2 + s[32] + s[33]/4 - (3*s[34])/2 - s[35] + 9*s[37] + 
       98*s[38] - (1569*s[39])/4 + (1769*s[40])/4 - (1389*s[41])/4 + 
       (2255*s[42])/4 + (15263*s[43])/44 - (16349*s[44])/44 + 
       (8823*s[45])/22 - (138813*s[46])/44 + (8473*s[47])/66 + 
       (7937*s[48])/132 - (53096*s[49])/33 + (53675*s[50])/22 + 
       (50305*s[51])/132 + (19733*s[52])/66 - (111301*s[53])/66 + 
       (2527*s[54])/44 - (118011*s[55])/11 - (376847*s[56])/132 + 
       (1090745*s[57])/396 - (5798359*s[58])/1188 + (2943725*s[59])/594 + 
       (20652569*s[60])/792 - (29586413*s[61])/21384 + 2*s[72] - s[74]/2 + 
       s[75]/2 - 2*s[76] - s[77] + 2*s[78] + 44*s[79] - 14*s[80] + 54*s[82] - 
       (3*s[83])/2 + 9*s[84] + 16*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*((37*s[2])/4 + (203*s[3])/8 + 
       (5569*s[4])/16 + (575*s[5])/2 + (11525*s[6])/16 + (603893*s[7])/96 - 
       (209975*s[8])/432 - (1145347*s[9])/216 - (379613*s[10])/216 - 
       (1981553*s[11])/288 - (267953*s[12])/36 - (1281059*s[13])/288 - 
       (291413*s[14])/288 - (2435999*s[15])/288 - (192941*s[16])/18 - 
       (2432411*s[17])/288 - (756713*s[18])/648 - (1236239*s[19])/1296 - 
       (16490653*s[20])/1296 - (12078251*s[21])/2592 + (8548927*s[22])/2592 + 
       (487975*s[23])/72 + (2264387*s[24])/324 - (50483309*s[25])/5832 + 
       (28237811*s[26])/5832 - s[30]/2 + 2*s[31] - (3*s[33])/4 + s[34]/2 - 
       s[35] + 9*s[37] + 98*s[38] - (1569*s[39])/4 + (1769*s[40])/4 - 
       (1389*s[41])/4 + (2255*s[42])/4 + (15263*s[43])/44 - 
       (16349*s[44])/44 + (8823*s[45])/22 - (138813*s[46])/44 + 
       (8473*s[47])/66 + (7937*s[48])/132 - (53096*s[49])/33 + 
       (53675*s[50])/22 + (50305*s[51])/132 + (19733*s[52])/66 - 
       (111301*s[53])/66 + (2527*s[54])/44 - (118011*s[55])/11 - 
       (376847*s[56])/132 + (1090745*s[57])/396 - (5798359*s[58])/1188 + 
       (2943725*s[59])/594 + (20652569*s[60])/792 - (29586413*s[61])/21384 + 
       2*s[72] - s[74]/2 + s[75]/2 - 2*s[76] - s[77] + 2*s[78] + 44*s[79] - 
       14*s[80] + 54*s[82] - (3*s[83])/2 + 9*s[84] + 16*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*Phi6[u, v, w]*
      (-s[2] + (35*s[3])/4 + (2221*s[4])/8 + (9521*s[5])/88 + 
       (8013*s[6])/22 + (5589827*s[7])/1584 - (33200*s[8])/99 - 
       (211727*s[9])/72 - (61699*s[10])/72 - (691331*s[11])/176 - 
       (1165525*s[12])/264 - (4210423*s[13])/1584 - (29457*s[14])/176 - 
       (659303*s[15])/144 - (2335075*s[16])/396 - (6802679*s[17])/1584 - 
       (42523*s[18])/72 - (13529*s[19])/24 - (5359301*s[20])/792 - 
       (10857815*s[21])/4752 + (8835665*s[22])/4752 + (462512*s[23])/99 + 
       (4547843*s[24])/1188 - (220564175*s[25])/42768 + 
       (113194211*s[26])/42768 + 2*s[30] + (3*s[32])/2 + (19*s[33])/4 - 
       s[34] - 3*s[35] + (4*s[36])/3 + (187*s[37])/12 + (239*s[38])/2 - 
       526*s[39] + (1820*s[40])/3 - (1919*s[41])/4 + (9283*s[42])/12 + 
       (14902*s[43])/33 - (66775*s[44])/132 + (125777*s[45])/264 - 
       (1066159*s[46])/264 + (73061*s[47])/396 + (28643*s[48])/396 - 
       (826691*s[49])/396 + (206315*s[50])/66 + (106511*s[51])/198 + 
       (163387*s[52])/396 - (1684175*s[53])/792 + (16561*s[54])/132 - 
       (590615*s[55])/44 - (240215*s[56])/66 + (539029*s[57])/132 - 
       (15143417*s[58])/2376 + (3796871*s[59])/594 + (157541581*s[60])/4752 - 
       (74597363*s[61])/42768 + 2*s[70] + s[71]/2 + 2*s[72] - 2*s[73] - 
       (3*s[74])/2 + (3*s[75])/2 - 2*s[76] - 3*s[77] + 2*s[78] + 86*s[79] - 
       (233*s[80])/6 + 80*s[82] - (3*s[83])/4 + (21*s[84])/2 + 22*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*Phi6[u, v, w]*
      (9*s[2] - (59*s[3])/4 + (1585*s[4])/8 + (7373*s[5])/44 + 
       (39081*s[6])/88 + (1968091*s[7])/528 - (77977*s[8])/264 - 
       (9490*s[9])/3 - (12215*s[10])/12 - (720855*s[11])/176 - 
       (196269*s[12])/44 - (1414379*s[13])/528 - (113563*s[14])/176 - 
       (235985*s[15])/48 - (831767*s[16])/132 - (2589559*s[17])/528 - 
       (25381*s[18])/36 - (36217*s[19])/72 - (5966215*s[20])/792 - 
       (1468703*s[21])/528 + (3121361*s[22])/1584 + (134158*s[23])/33 + 
       (807637*s[24])/198 - (2028061*s[25])/396 + (285079*s[26])/99 - s[30] + 
       2*s[31] + s[32]/2 - (5*s[33])/4 + s[34] - 3*s[35] + (4*s[36])/3 + 
       (187*s[37])/12 + (239*s[38])/2 - 526*s[39] + (1820*s[40])/3 - 
       (1919*s[41])/4 + (9283*s[42])/12 + (14902*s[43])/33 - 
       (66775*s[44])/132 + (125777*s[45])/264 - (1066159*s[46])/264 + 
       (73061*s[47])/396 + (28643*s[48])/396 - (826691*s[49])/396 + 
       (206315*s[50])/66 + (106511*s[51])/198 + (163387*s[52])/396 - 
       (1684175*s[53])/792 + (16561*s[54])/132 - (590615*s[55])/44 - 
       (240215*s[56])/66 + (539029*s[57])/132 - (15143417*s[58])/2376 + 
       (3796871*s[59])/594 + (157541581*s[60])/4752 - 
       (74597363*s[61])/42768 + 2*s[70] + s[71]/2 + 2*s[72] - 2*s[73] - 
       (3*s[74])/2 + (3*s[75])/2 - 2*s[76] - 3*s[77] + 2*s[78] + 86*s[79] - 
       (233*s[80])/6 + 80*s[82] - (3*s[83])/4 + (21*s[84])/2 + 22*s[85]) + 
     F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      (4*s[2] + 19*s[3] + (2263*s[4])/8 + (8699*s[5])/44 + (44731*s[6])/88 + 
       (3692245*s[7])/792 - (33427*s[8])/88 - (94235*s[9])/24 - 
       (2545*s[10])/2 - (1348597*s[11])/264 - (489465*s[12])/88 - 
       (1316431*s[13])/396 - (161701*s[14])/264 - (225107*s[15])/36 - 
       (782803*s[16])/99 - (2434061*s[17])/396 - (181187*s[18])/216 - 
       (79601*s[19])/108 - (11079869*s[20])/1188 - (7962071*s[21])/2376 + 
       (645365*s[22])/264 + (4122427*s[23])/792 + (4079125*s[24])/792 - 
       (277949539*s[25])/42768 + (152324947*s[26])/42768 + (3*s[30])/2 + 
       s[31] + s[32]/2 + (5*s[33])/8 + s[34]/2 - 3*s[35] - (28*s[36])/3 + 
       (23*s[37])/3 + 150*s[38] - (2519*s[39])/4 + (8581*s[40])/12 - 
       (2295*s[41])/4 + (10919*s[42])/12 + (74819*s[43])/132 - 
       (20186*s[44])/33 + (43543*s[45])/66 - (682471*s[46])/132 + 
       (76249*s[47])/396 + (12025*s[48])/99 - (1042087*s[49])/396 + 
       (133214*s[50])/33 + (126571*s[51])/198 + (194525*s[52])/396 - 
       (551401*s[53])/198 + (1615*s[54])/66 - (389047*s[55])/22 - 
       (600835*s[56])/132 + (1595789*s[57])/396 - (345831*s[58])/44 + 
       (1583957*s[59])/198 + (101531731*s[60])/2376 - 
       (48411079*s[61])/21384 + 2*s[70] + 2*s[72] - (7*s[74])/2 + 
       (7*s[75])/2 - 2*s[76] - 3*s[77] + 2*s[78] + 60*s[79] - (56*s[80])/3 + 
       84*s[82] + 16*s[84] + 24*s[85]) + F1[u, v, w]*HPL[{0, 0, 1}, 1 - w]*
      (11*s[2] + 52*s[3] + (3977*s[4])/8 + (31905*s[5])/88 + 
       (10035*s[6])/11 + (799922*s[7])/99 - (778171*s[8])/1188 - 
       (366967*s[9])/54 - (456737*s[10])/216 - (7060705*s[11])/792 - 
       (3867955*s[12])/396 - (1556275*s[13])/264 - (191023*s[14])/198 - 
       (32078*s[15])/3 - (1798531*s[16])/132 - (8284505*s[17])/792 - 
       (487981*s[18])/324 - (389945*s[19])/324 - (56993345*s[20])/3564 - 
       (41621551*s[21])/7128 + (15076639*s[22])/3564 + (2512175*s[23])/264 + 
       (62627657*s[24])/7128 - (364314305*s[25])/32076 + 
       (50128781*s[26])/8019 + s[30]/2 + 5*s[31] + s[32] + (31*s[33])/8 - 
       (17*s[34])/2 - 5*s[35] - (131*s[36])/6 + (129*s[37])/4 + 
       (569*s[38])/2 - (9105*s[39])/8 + (30263*s[40])/24 - (7767*s[41])/8 + 
       (39373*s[42])/24 + (253381*s[43])/264 - (543209*s[44])/528 + 
       (92787*s[45])/88 - (1114691*s[46])/132 + (693553*s[47])/1584 + 
       (52099*s[48])/1584 - (6962371*s[49])/1584 + (212222*s[50])/33 + 
       (1795751*s[51])/1584 + (1461767*s[52])/1584 - (1750747*s[53])/396 + 
       (24289*s[54])/132 - (14733065*s[55])/528 - (11823877*s[56])/1584 + 
       (2685907*s[57])/297 - (193541285*s[58])/14256 + 
       (194724677*s[59])/14256 + (650749315*s[60])/9504 - 
       (117240323*s[61])/32076 - s[65] - 2*s[66] + 4*s[67] + 5*s[68] + 
       5*s[69] + 2*s[70] + s[71] + 6*s[72] - 8*s[73] - (11*s[74])/2 + 
       (11*s[75])/2 - 6*s[76] - 2*s[77] + 10*s[78] + 80*s[79] - 
       (47*s[80])/2 + 111*s[82] + 3*s[83] + 30*s[84] + 36*s[85]) + 
     F1[u, v, w]*HPL[{0, 0, 1}, 1 - v]*(7*s[2] + (31*s[3])/4 + 
       (1855*s[4])/4 + (13083*s[5])/44 + (33479*s[6])/44 + 
       (11190833*s[7])/1584 - (63766*s[8])/99 - (427861*s[9])/72 - 
       (15493*s[10])/9 - (4145725*s[11])/528 - (289549*s[12])/33 - 
       (8351713*s[13])/1584 - (312187*s[14])/528 - (1311593*s[15])/144 - 
       (9320195*s[16])/792 - (13724159*s[17])/1584 - (283945*s[18])/216 - 
       (211385*s[19])/216 - (32720333*s[20])/2376 - (7821955*s[21])/1584 + 
       (17674177*s[22])/4752 + (7140241*s[23])/792 + (17932769*s[24])/2376 - 
       (144212747*s[25])/14256 + (77679815*s[26])/14256 - 4*s[29] + 
       (5*s[30])/2 + s[31] + (19*s[33])/8 - s[34]/2 - 5*s[35] - 
       (131*s[36])/6 + (129*s[37])/4 + (569*s[38])/2 - (9105*s[39])/8 + 
       (30263*s[40])/24 - (7767*s[41])/8 + (39373*s[42])/24 + 
       (253381*s[43])/264 - (543209*s[44])/528 + (92787*s[45])/88 - 
       (1114691*s[46])/132 + (693553*s[47])/1584 + (52099*s[48])/1584 - 
       (6962371*s[49])/1584 + (212222*s[50])/33 + (1795751*s[51])/1584 + 
       (1461767*s[52])/1584 - (1750747*s[53])/396 + (24289*s[54])/132 - 
       (14733065*s[55])/528 - (11823877*s[56])/1584 + (2685907*s[57])/297 - 
       (193541285*s[58])/14256 + (194724677*s[59])/14256 + 
       (650749315*s[60])/9504 - (117240323*s[61])/32076 - s[65] - 2*s[66] + 
       4*s[67] + 5*s[68] + 5*s[69] + 2*s[70] + s[71] + 6*s[72] - 8*s[73] - 
       (11*s[74])/2 + (11*s[75])/2 - 6*s[76] - 2*s[77] + 10*s[78] + 
       80*s[79] - (47*s[80])/2 + 111*s[82] + 3*s[83] + 30*s[84] + 36*s[85]) + 
     F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*(4*s[2] - 5*s[3] + 
       (785*s[4])/8 + (12953*s[5])/88 + (3308*s[6])/11 + (2005933*s[7])/792 - 
       (16535*s[8])/99 - (78091*s[9])/36 - (54847*s[10])/72 - 
       (118919*s[11])/44 - (92936*s[12])/33 - (637375*s[13])/396 - 
       (57953*s[14])/88 - (255751*s[15])/72 - (871379*s[16])/198 - 
       (369449*s[17])/99 - (2015*s[18])/4 - (12839*s[19])/36 - 
       (178432*s[20])/33 - (2440331*s[21])/1188 + (3152893*s[22])/2376 + 
       (1800385*s[23])/792 + (6648241*s[24])/2376 - (34950101*s[25])/10692 + 
       (10439305*s[26])/5346 + (3*s[30])/2 + s[31] + s[32] - (7*s[33])/8 - 
       s[34]/2 - 6*s[35] - (28*s[36])/3 - (35*s[37])/6 + 53*s[38] - 
       (539*s[39])/2 + (1829*s[40])/6 - 256*s[41] + (1193*s[42])/3 + 
       (16417*s[43])/66 - (72445*s[44])/264 + (25177*s[45])/66 - 
       (90781*s[46])/33 + (59189*s[47])/792 + (62489*s[48])/792 - 
       (946775*s[49])/792 + (142801*s[50])/66 + (220861*s[51])/792 + 
       (158485*s[52])/792 - (617297*s[53])/396 - (499*s[54])/33 - 
       (2624651*s[55])/264 - (683275*s[56])/264 + (142787*s[57])/132 - 
       (9282661*s[58])/2376 + (9499153*s[59])/2376 + (107464169*s[60])/4752 - 
       (7079789*s[61])/5346 + s[68] - s[69] + 2*s[70] + 2*s[72] + 2*s[73] - 
       (5*s[74])/2 + (5*s[75])/2 - 2*s[77] + 4*s[78] + 18*s[79] - 
       (20*s[80])/3 + 155*s[82] - (3*s[83])/4 + (45*s[84])/2 + 40*s[85]) + 
     F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*(s[2] + (39*s[3])/2 + 
       (1175*s[4])/8 + (9235*s[5])/88 + (3176*s[6])/11 + (493753*s[7])/198 - 
       (43135*s[8])/198 - (18610*s[9])/9 - (52393*s[10])/72 - 
       (236419*s[11])/88 - (379037*s[12])/132 - (1329035*s[13])/792 - 
       (8529*s[14])/22 - (123773*s[15])/36 - (1709857*s[16])/396 - 
       (2768845*s[17])/792 - (1435*s[18])/3 - (6979*s[19])/18 - 
       (222359*s[20])/44 - (4322863*s[21])/2376 + (382079*s[22])/297 + 
       (2221399*s[23])/792 + (6455059*s[24])/2376 - (72500305*s[25])/21384 + 
       (40286047*s[26])/21384 + s[30]/2 - s[31] + s[32] - (19*s[33])/8 + 
       (3*s[34])/2 - 6*s[35] - (28*s[36])/3 - (35*s[37])/6 + 53*s[38] - 
       (539*s[39])/2 + (1829*s[40])/6 - 256*s[41] + (1193*s[42])/3 + 
       (16417*s[43])/66 - (72445*s[44])/264 + (25177*s[45])/66 - 
       (90781*s[46])/33 + (59189*s[47])/792 + (62489*s[48])/792 - 
       (946775*s[49])/792 + (142801*s[50])/66 + (220861*s[51])/792 + 
       (158485*s[52])/792 - (617297*s[53])/396 - (499*s[54])/33 - 
       (2624651*s[55])/264 - (683275*s[56])/264 + (142787*s[57])/132 - 
       (9282661*s[58])/2376 + (9499153*s[59])/2376 + (107464169*s[60])/4752 - 
       (7079789*s[61])/5346 + s[68] - s[69] + 2*s[70] + 2*s[72] + 2*s[73] - 
       (5*s[74])/2 + (5*s[75])/2 - 2*s[77] + 4*s[78] + 18*s[79] - 
       (20*s[80])/3 + 155*s[82] - (3*s[83])/4 + (45*s[84])/2 + 40*s[85]) + 
     F1[v, w, u]*HPL[{0, 1, 1}, 1 - v]*((9*s[2])/2 + (191*s[3])/4 + 
       (3237*s[4])/8 + (6485*s[5])/22 + (65695*s[6])/88 + 
       (10738105*s[7])/1584 - (436247*s[8])/792 - (203903*s[9])/36 - 
       (68425*s[10])/36 - (1301675*s[11])/176 - (528713*s[12])/66 - 
       (7500569*s[13])/1584 - (171167*s[14])/176 - (1320763*s[15])/144 - 
       (4582877*s[16])/396 - (14463553*s[17])/1584 - (44915*s[18])/36 - 
       (78943*s[19])/72 - (10830179*s[20])/792 - (23361331*s[21])/4752 + 
       (16768687*s[22])/4752 + (1467701*s[23])/198 + (8917921*s[24])/1188 - 
       (100171309*s[25])/10692 + (55195501*s[26])/10692 + s[30] + s[32] - 
       (3*s[33])/2 + s[34] - 5*s[35] - (34*s[36])/3 + s[37] + 198*s[38] - 
       (3129*s[39])/4 + (10627*s[40])/12 - (2837*s[41])/4 + 
       (13181*s[42])/12 + (101381*s[43])/132 - (26039*s[44])/33 + 
       (11889*s[45])/11 - (1003427*s[46])/132 + (73969*s[47])/396 + 
       (63599*s[48])/198 - (1408411*s[49])/396 + (194972*s[50])/33 + 
       (75740*s[51])/99 + (235127*s[52])/396 - (822731*s[53])/198 - 
       (4789*s[54])/66 - (588707*s[55])/22 - (2767261*s[56])/396 + 
       (4528693*s[57])/1188 - (39529781*s[58])/3564 + (20064271*s[59])/1782 + 
       (150511237*s[60])/2376 - (227893579*s[61])/64152 + 6*s[70] - s[71] + 
       2*s[72] - 2*s[73] - (7*s[74])/2 + (7*s[75])/2 - 2*s[76] - 5*s[77] + 
       48*s[79] - 14*s[80] + 160*s[82] - (3*s[83])/2 + 21*s[84] + 44*s[85]) + 
     F1[w, u, v]*HPL[{0, 1, 1}, 1 - w]*((29*s[2])/2 + (73*s[3])/4 + 
       (2325*s[4])/8 + (8647*s[5])/22 + (73607*s[6])/88 + 
       (3730825*s[7])/528 - (1094609*s[8])/2376 - (325375*s[9])/54 - 
       (228721*s[10])/108 - (12114065*s[11])/1584 - (3199711*s[12])/396 - 
       (7535735*s[13])/1584 - (2634461*s[14])/1584 - (1393429*s[15])/144 - 
       (4826309*s[16])/396 - (15930551*s[17])/1584 - (112096*s[18])/81 - 
       (681541*s[19])/648 - (105668641*s[20])/7128 - (80239667*s[21])/14256 + 
       (52779007*s[22])/14256 + (2559793*s[23])/396 + (7055902*s[24])/891 - 
       (598500481*s[25])/64152 + (351846229*s[26])/64152 - 2*s[30] + 
       2*s[31] - (21*s[33])/4 + 2*s[34] - 5*s[35] - (34*s[36])/3 + s[37] + 
       198*s[38] - (3129*s[39])/4 + (10627*s[40])/12 - (2837*s[41])/4 + 
       (13181*s[42])/12 + (101381*s[43])/132 - (26039*s[44])/33 + 
       (11889*s[45])/11 - (1003427*s[46])/132 + (73969*s[47])/396 + 
       (63599*s[48])/198 - (1408411*s[49])/396 + (194972*s[50])/33 + 
       (75740*s[51])/99 + (235127*s[52])/396 - (822731*s[53])/198 - 
       (4789*s[54])/66 - (588707*s[55])/22 - (2767261*s[56])/396 + 
       (4528693*s[57])/1188 - (39529781*s[58])/3564 + (20064271*s[59])/1782 + 
       (150511237*s[60])/2376 - (227893579*s[61])/64152 + 6*s[70] - s[71] + 
       2*s[72] - 2*s[73] - (7*s[74])/2 + (7*s[75])/2 - 2*s[76] - 5*s[77] + 
       48*s[79] - 14*s[80] + 160*s[82] - (3*s[83])/2 + 21*s[84] + 44*s[85]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      ((23*s[2])/2 + (127*s[3])/4 + (5391*s[4])/8 + (5796*s[5])/11 + 
       (114729*s[6])/88 + (18625151*s[7])/1584 - (2187979*s[8])/2376 - 
       (536177*s[9])/54 - (348503*s[10])/108 - (20439031*s[11])/1584 - 
       (2780395*s[12])/198 - (13299389*s[13])/1584 - (2740255*s[14])/1584 - 
       (2259625*s[15])/144 - (15797821*s[16])/792 - (8199595*s[17])/528 - 
       (697211*s[18])/324 - (1173443*s[19])/648 - (168636917*s[20])/7128 - 
       (122463205*s[21])/14256 + (88123265*s[22])/14256 + 
       (10172879*s[23])/792 + (92925523*s[24])/7128 - 
       (1046625797*s[25])/64152 + (579076535*s[26])/64152 + 2*s[31] + 
       s[32]/2 - (9*s[33])/4 + 2*s[34] - 4*s[35] - (49*s[36])/3 + 26*s[37] + 
       383*s[38] - (6109*s[39])/4 + (20827*s[40])/12 - (5463*s[41])/4 + 
       (26105*s[42])/12 + (187841*s[43])/132 - (395125*s[44])/264 + 
       (18885*s[45])/11 - (1717283*s[46])/132 + (337259*s[47])/792 + 
       (327293*s[48])/792 - (5161769*s[49])/792 + (332417*s[50])/33 + 
       (1186489*s[51])/792 + (940867*s[52])/792 - (2753833*s[53])/396 + 
       (6035*s[54])/66 - (11740199*s[55])/264 - (9279131*s[56])/792 + 
       (5827637*s[57])/594 - (141083425*s[58])/7128 + 
       (142770403*s[59])/7128 + (513148223*s[60])/4752 - 
       (370607293*s[61])/64152 + 4*s[70] + 4*s[72] - 5*s[74] + 5*s[75] - 
       4*s[76] - 4*s[77] + 2*s[78] + 154*s[79] - 50*s[80] + 372*s[82] + 
       s[83] + 62*s[84] + 96*s[85]) + HPL[{1}, 1 - v]^2*Phi6[u, v, w]*
      ((5*s[2])/2 - (153*s[3])/4 - (311*s[4])/8 + (103*s[5])/4 - 
       (601*s[6])/8 + (607*s[7])/16 + (1727*s[8])/72 - (845*s[9])/9 - 
       (4315*s[10])/36 - (487*s[11])/48 + (1075*s[12])/12 + (4055*s[13])/48 - 
       (1999*s[14])/48 - (11573*s[15])/48 - (983*s[16])/6 - 
       (14437*s[17])/48 + (1430*s[18])/27 - (23155*s[19])/216 - 
       (48209*s[20])/216 - (63061*s[21])/432 + (23117*s[22])/432 - 
       (6127*s[23])/12 + (20189*s[24])/108 + (74591*s[25])/972 + 
       (2482*s[26])/243 - 4*s[30] + 2*s[31] - s[32] + (5*s[33])/4 - 5*s[34] - 
       2*s[35] - 14*s[36] - (23*s[37])/2 + 12*s[38] - 14*s[39] - 4*s[40] - 
       19*s[41] + 4*s[42] + (150*s[43])/11 - (777*s[44])/22 - 
       (405*s[45])/44 - (2479*s[46])/44 - (12341*s[47])/264 + 
       (7723*s[48])/264 - (69721*s[49])/264 + (9813*s[50])/44 - 
       (4121*s[51])/264 - (3631*s[52])/66 - (15857*s[53])/132 - 
       (9709*s[54])/22 - (193397*s[55])/264 + (75629*s[56])/264 - 
       (329707*s[57])/396 + (519001*s[58])/2376 + (102305*s[59])/2376 + 
       (2834497*s[60])/1584 + (1163861*s[61])/10692 - s[65]/2 - 2*s[66] + 
       2*s[67] + 5*s[69] + 2*s[72] - 4*s[73] - 2*s[74] + 2*s[75] + 3*s[76] - 
       2*s[77] + 2*s[78] - 16*s[79] + 22*s[80] + 35*s[82] + (3*s[83])/4 + 
       (3*s[84])/2)*\[Zeta][2] + HPL[{1}, 1 - w]^2*Phi6[u, v, w]*
      (-6*s[2] + (31*s[3])/4 + (455*s[4])/8 - (901*s[5])/22 - 
       (6429*s[6])/88 + (29039*s[7])/528 - (17981*s[8])/792 - (299*s[9])/36 - 
       (643*s[10])/9 - (46547*s[11])/528 - (28727*s[12])/264 - 
       (10121*s[13])/176 + (124291*s[14])/528 - (12109*s[15])/48 - 
       (11977*s[16])/44 - (96961*s[17])/528 + (7429*s[18])/54 - 
       (50629*s[19])/216 - (63925*s[20])/2376 + (721669*s[21])/4752 + 
       (193459*s[22])/4752 - (4097*s[23])/88 + (724739*s[24])/2376 - 
       (5017315*s[25])/21384 - (835601*s[26])/21384 - s[29] + s[30] - 
       4*s[31] - s[32]/2 + (15*s[33])/2 - 3*s[34] - 2*s[35] - 14*s[36] - 
       (23*s[37])/2 + 12*s[38] - 14*s[39] - 4*s[40] - 19*s[41] + 4*s[42] + 
       (150*s[43])/11 - (777*s[44])/22 - (405*s[45])/44 - (2479*s[46])/44 - 
       (12341*s[47])/264 + (7723*s[48])/264 - (69721*s[49])/264 + 
       (9813*s[50])/44 - (4121*s[51])/264 - (3631*s[52])/66 - 
       (15857*s[53])/132 - (9709*s[54])/22 - (193397*s[55])/264 + 
       (75629*s[56])/264 - (329707*s[57])/396 + (519001*s[58])/2376 + 
       (102305*s[59])/2376 + (2834497*s[60])/1584 + (1163861*s[61])/10692 - 
       s[65]/2 - 2*s[66] + 2*s[67] + 5*s[69] + 2*s[72] - 4*s[73] - 2*s[74] + 
       2*s[75] + 3*s[76] - 2*s[77] + 2*s[78] - 16*s[79] + 22*s[80] + 
       35*s[82] + (3*s[83])/4 + (3*s[84])/2)*\[Zeta][2] + 
     HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*(-81*s[2] + 89*s[3] - 684*s[4] - 
       (1389*s[5])/2 - 1481*s[6] - (966433*s[7])/72 + (48973*s[8])/54 + 
       (1227689*s[9])/108 + (106378*s[10])/27 + (1060409*s[11])/72 + 
       (281275*s[12])/18 + (670123*s[13])/72 + (157679*s[14])/72 + 
       (1342195*s[15])/72 + (420127*s[16])/18 + (153281*s[17])/8 + 
       (698263*s[18])/324 + (831803*s[19])/324 + (8766901*s[20])/324 + 
       (6511409*s[21])/648 - (4582381*s[22])/648 - (115369*s[23])/9 - 
       (1252277*s[24])/81 + (106994171*s[25])/5832 - (59939075*s[26])/5832 + 
       4*s[29] - 2*s[30] - 22*s[31] + 15*s[32] - (9*s[33])/4 + 35*s[34] + 
       7*s[35] + (247*s[36])/3 - (128*s[37])/3 - 475*s[38] + (3597*s[39])/2 - 
       (11765*s[40])/6 + 1576*s[41] - (14677*s[42])/6 - (123415*s[43])/66 + 
       (119881*s[44])/66 - (259637*s[45])/132 + (2026021*s[46])/132 - 
       (46679*s[47])/198 - (74242*s[48])/99 + (1741043*s[49])/198 - 
       (796687*s[50])/66 - (141791*s[51])/99 - (215455*s[52])/198 + 
       (3416843*s[53])/396 + (72053*s[54])/66 + (1788067*s[55])/33 + 
       (834331*s[56])/66 - (75717*s[57])/11 + (25519223*s[58])/1188 - 
       (6905222*s[59])/297 - (308291935*s[60])/2376 + 
       (133866197*s[61])/21384 + 15*s[68] - 29*s[69] + 2*s[70] - s[71] + 
       68*s[73] + s[74] - s[75] + 46*s[76] + 19*s[77] - 64*s[78] - 88*s[79] + 
       (47*s[80])/3 - 309*s[82] - 20*s[85])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*(-72*s[2] - s[3] - 837*s[4] - 
       (29617*s[5])/44 - (65133*s[6])/44 - (1238265*s[7])/88 + 
       (1190273*s[8])/1188 + (639161*s[9])/54 + (440849*s[10])/108 + 
       (12199919*s[11])/792 + (6481217*s[12])/396 + (7773395*s[13])/792 + 
       (1388495*s[14])/792 + (1421683*s[15])/72 + (4842623*s[16])/198 + 
       (15779045*s[17])/792 + (360757*s[18])/162 + (903649*s[19])/324 + 
       (99406663*s[20])/3564 + (72453059*s[21])/7128 - 
       (52583137*s[22])/7128 - (2908915*s[23])/198 - (28601641*s[24])/1782 + 
       (624898027*s[25])/32076 - (341961337*s[26])/32076 - 6*s[29] - 
       3*s[30] - 26*s[31] + 13*s[32] - (31*s[33])/4 + 49*s[34] + 7*s[35] + 
       (247*s[36])/3 - (128*s[37])/3 - 475*s[38] + (3597*s[39])/2 - 
       (11765*s[40])/6 + 1576*s[41] - (14677*s[42])/6 - (123415*s[43])/66 + 
       (119881*s[44])/66 - (259637*s[45])/132 + (2026021*s[46])/132 - 
       (46679*s[47])/198 - (74242*s[48])/99 + (1741043*s[49])/198 - 
       (796687*s[50])/66 - (141791*s[51])/99 - (215455*s[52])/198 + 
       (3416843*s[53])/396 + (72053*s[54])/66 + (1788067*s[55])/33 + 
       (834331*s[56])/66 - (75717*s[57])/11 + (25519223*s[58])/1188 - 
       (6905222*s[59])/297 - (308291935*s[60])/2376 + 
       (133866197*s[61])/21384 + 15*s[68] - 29*s[69] + 2*s[70] - s[71] + 
       68*s[73] + s[74] - s[75] + 46*s[76] + 19*s[77] - 64*s[78] - 88*s[79] + 
       (47*s[80])/3 - 309*s[82] - 20*s[85])*\[Zeta][2] + 
     F1[u, v, w]*HPL[{1}, 1 - v]*(-49*s[2] - (13*s[3])/2 - (1707*s[4])/4 - 
       (7267*s[5])/22 - (31041*s[6])/44 - (5810767*s[7])/792 + 
       (64657*s[8])/132 + (12349*s[9])/2 + (13601*s[10])/6 + 
       (2117521*s[11])/264 + (371543*s[12])/44 + (3996755*s[13])/792 + 
       (244435*s[14])/264 + (755869*s[15])/72 + (2557547*s[16])/198 + 
       (8465569*s[17])/792 + (27133*s[18])/27 + (183833*s[19])/108 + 
       (17442395*s[20])/1188 + (12497513*s[21])/2376 - (3050207*s[22])/792 - 
       (2618783*s[23])/396 - (385973*s[24])/44 + (108409399*s[25])/10692 - 
       (58741963*s[26])/10692 - 14*s[31] + 10*s[32] - (13*s[33])/2 + 
       26*s[34] - 6*s[35] + (164*s[36])/3 - (94*s[37])/3 - 253*s[38] + 
       685*s[39] - (2279*s[40])/3 + (1211*s[41])/2 - (4775*s[42])/6 - 
       (2981*s[43])/3 + (9329*s[44])/12 - (8161*s[45])/6 + (50195*s[46])/6 + 
       (3133*s[47])/18 - (12803*s[48])/18 + (79385*s[49])/18 - 
       (19964*s[50])/3 - (3566*s[51])/9 - (12233*s[52])/36 + 
       (87355*s[53])/18 + (6167*s[54])/6 + (95542*s[55])/3 + 
       (14409*s[56])/2 + (10244*s[57])/9 + (288337*s[58])/27 - 
       (644351*s[59])/54 - (1997648*s[60])/27 + (1160033*s[61])/324 - 
       2*s[65] - 8*s[66] + 12*s[67] + 16*s[68] - 2*s[69] + 2*s[71] + 
       12*s[72] + 36*s[73] - 9*s[74] + 9*s[75] + 44*s[76] + 8*s[77] - 
       28*s[78] - 16*s[79] - (134*s[80])/3 - 158*s[82] + 4*s[85])*
      \[Zeta][2] + F1[u, v, w]*HPL[{1}, 1 - w]*(-72*s[2] + (145*s[3])/2 - 
       (555*s[4])/4 - (6943*s[5])/11 - (37709*s[6])/44 - (2106971*s[7])/264 + 
       (84307*s[8])/396 + (127819*s[9])/18 + (48995*s[10])/18 + 
       (2241757*s[11])/264 + (551513*s[12])/66 + (1302923*s[13])/264 + 
       (671821*s[14])/264 + (284281*s[15])/24 + (466834*s[16])/33 + 
       (1125565*s[17])/88 + (38638*s[18])/27 + (155375*s[19])/108 + 
       (20672627*s[20])/1188 + (16907071*s[21])/2376 - 
       (10165907*s[22])/2376 - (161390*s[23])/33 - (2787556*s[24])/297 + 
       (52489465*s[25])/5346 - (33534097*s[26])/5346 - 8*s[29] + 6*s[30] - 
       30*s[31] + 9*s[32] - 14*s[33] + 48*s[34] - 6*s[35] + (164*s[36])/3 - 
       (94*s[37])/3 - 253*s[38] + 685*s[39] - (2279*s[40])/3 + 
       (1211*s[41])/2 - (4775*s[42])/6 - (2981*s[43])/3 + (9329*s[44])/12 - 
       (8161*s[45])/6 + (50195*s[46])/6 + (3133*s[47])/18 - 
       (12803*s[48])/18 + (79385*s[49])/18 - (19964*s[50])/3 - 
       (3566*s[51])/9 - (12233*s[52])/36 + (87355*s[53])/18 + 
       (6167*s[54])/6 + (95542*s[55])/3 + (14409*s[56])/2 + (10244*s[57])/9 + 
       (288337*s[58])/27 - (644351*s[59])/54 - (1997648*s[60])/27 + 
       (1160033*s[61])/324 - 2*s[65] - 8*s[66] + 12*s[67] + 16*s[68] - 
       2*s[69] + 2*s[71] + 12*s[72] + 36*s[73] - 9*s[74] + 9*s[75] + 
       44*s[76] + 8*s[77] - 28*s[78] - 16*s[79] - (134*s[80])/3 - 158*s[82] + 
       4*s[85])*\[Zeta][2] + F1[w, u, v]*HPL[{1}, 1 - v]*
      (-12*s[3] + (29*s[5])/2 + (35*s[6])/2 + (634*s[7])/3 - (61*s[8])/6 - 
       (1207*s[9])/6 - (419*s[10])/6 - 212*s[11] - (411*s[12])/2 - 
       (685*s[13])/6 - (169*s[14])/2 - (615*s[15])/2 - (2173*s[16])/6 - 
       (1943*s[17])/6 - (967*s[18])/18 - (37*s[19])/9 - (4337*s[20])/9 - 
       (632*s[21])/3 + (2125*s[22])/18 + (1163*s[23])/6 + (3679*s[24])/18 - 
       (25201*s[25])/108 + (18793*s[26])/108 + s[36] - 7*s[37] - 8*s[38] - 
       (111*s[39])/4 + (179*s[40])/4 - (211*s[41])/4 + (223*s[42])/4 + 
       (1785*s[43])/44 - (5107*s[44])/88 + (1227*s[45])/22 - 
       (20385*s[46])/44 - (4757*s[47])/264 + (11677*s[48])/264 - 
       (57097*s[49])/264 + (4682*s[50])/11 + (3583*s[51])/88 + 
       (713*s[52])/264 - (13619*s[53])/44 - (483*s[54])/11 - 
       (525253*s[55])/264 - (115883*s[56])/264 - (57553*s[57])/198 - 
       (1210369*s[58])/2376 + (1430239*s[59])/2376 + (6616723*s[60])/1584 - 
       (4967539*s[61])/21384 - 2*s[68] + 2*s[69] + 4*s[76] - 2*s[77] - 
       2*s[78] + 16*s[79] - 10*s[80] + 48*s[82] + 8*s[85])*\[Zeta][2] + 
     F1[v, w, u]*HPL[{1}, 1 - w]*(-4*s[2] + (27*s[3])/2 + (227*s[4])/4 + 
       (157*s[5])/11 + (3483*s[6])/44 + (58585*s[7])/88 - (24595*s[8])/396 - 
       (9355*s[9])/18 - (2266*s[10])/9 - (178669*s[11])/264 - 
       (87985*s[12])/132 - (94477*s[13])/264 - (44071*s[14])/264 - 
       (26393*s[15])/24 - (168275*s[16])/132 - (315655*s[17])/264 - 
       (2248*s[18])/27 - (20063*s[19])/108 - (1698137*s[20])/1188 - 
       (1161877*s[21])/2376 + (785285*s[22])/2376 + (32147*s[23])/66 + 
       (513563*s[24])/594 - (9105521*s[25])/10692 + (5156303*s[26])/10692 - 
       4*s[31] + 8*s[34] + s[36] - 7*s[37] - 8*s[38] - (111*s[39])/4 + 
       (179*s[40])/4 - (211*s[41])/4 + (223*s[42])/4 + (1785*s[43])/44 - 
       (5107*s[44])/88 + (1227*s[45])/22 - (20385*s[46])/44 - 
       (4757*s[47])/264 + (11677*s[48])/264 - (57097*s[49])/264 + 
       (4682*s[50])/11 + (3583*s[51])/88 + (713*s[52])/264 - 
       (13619*s[53])/44 - (483*s[54])/11 - (525253*s[55])/264 - 
       (115883*s[56])/264 - (57553*s[57])/198 - (1210369*s[58])/2376 + 
       (1430239*s[59])/2376 + (6616723*s[60])/1584 - (4967539*s[61])/21384 - 
       2*s[68] + 2*s[69] + 4*s[76] - 2*s[77] - 2*s[78] + 16*s[79] - 
       10*s[80] + 48*s[82] + 8*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Phi6[u, v, w]*(2*s[2] + (59*s[3])/2 + 
       (807*s[4])/4 + (2933*s[5])/22 + (20943*s[6])/44 + (260785*s[7])/88 - 
       (105091*s[8])/396 - (44509*s[9])/18 - (10661*s[10])/18 - 
       (864247*s[11])/264 - (121657*s[12])/33 - (595237*s[13])/264 - 
       (135139*s[14])/264 - (87013*s[15])/24 - (633305*s[16])/132 - 
       (927385*s[17])/264 - (19456*s[18])/27 - (15275*s[19])/108 - 
       (6894143*s[20])/1188 - (5116117*s[21])/2376 + (3623561*s[22])/2376 + 
       (569137*s[23])/132 + (3376585*s[24])/1188 - (44739419*s[25])/10692 + 
       (25371527*s[26])/10692 + 2*s[30] + s[32] + 2*s[34] + 2*s[35] + 
       17*s[36] + (83*s[37])/3 + 69*s[38] - (1731*s[39])/4 + (2079*s[40])/4 - 
       (1525*s[41])/4 + (2729*s[42])/4 + (15237*s[43])/44 - 
       (32177*s[44])/88 + (12359*s[45])/33 - (414605*s[46])/132 + 
       (67291*s[47])/264 - (16595*s[48])/264 - (330529*s[49])/264 + 
       (23387*s[50])/11 + (130465*s[51])/264 + (118487*s[52])/264 - 
       (614191*s[53])/396 + (57677*s[54])/66 - (2537009*s[55])/264 - 
       (2661985*s[56])/792 + (2984617*s[57])/594 - (39656123*s[58])/7128 + 
       (37387421*s[59])/7128 + (12116365*s[60])/528 - 
       (100705241*s[61])/64152 + s[71] + 4*s[73] + s[74] - s[75] - 2*s[77] + 
       2*s[78] + 84*s[79] - (194*s[80])/3 - 22*s[82] - (3*s[83])/2 - 
       3*s[84] + 8*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      Phi6[u, v, w]*(2*s[2] + 16*s[3] + (363*s[4])/2 + (2703*s[5])/22 + 
       (4868*s[6])/11 + (59099*s[7])/22 - (178825*s[8])/594 - 
       (59392*s[9])/27 - (28285*s[10])/54 - (580763*s[11])/198 - 
       (326861*s[12])/99 - (394733*s[13])/198 - (73925*s[14])/198 - 
       (29366*s[15])/9 - (421891*s[16])/99 - (314968*s[17])/99 - 
       (107719*s[18])/162 - (8656*s[19])/81 - (9054245*s[20])/1782 - 
       (3459425*s[21])/1782 + (1203755*s[22])/891 + (414875*s[23])/99 + 
       (2226302*s[24])/891 - (120477715*s[25])/32076 + 
       (69018667*s[26])/32076 + s[32] - (31*s[33])/2 + 12*s[34] + 2*s[35] + 
       17*s[36] + (83*s[37])/3 + 69*s[38] - (1731*s[39])/4 + (2079*s[40])/4 - 
       (1525*s[41])/4 + (2729*s[42])/4 + (15237*s[43])/44 - 
       (32177*s[44])/88 + (12359*s[45])/33 - (414605*s[46])/132 + 
       (67291*s[47])/264 - (16595*s[48])/264 - (330529*s[49])/264 + 
       (23387*s[50])/11 + (130465*s[51])/264 + (118487*s[52])/264 - 
       (614191*s[53])/396 + (57677*s[54])/66 - (2537009*s[55])/264 - 
       (2661985*s[56])/792 + (2984617*s[57])/594 - (39656123*s[58])/7128 + 
       (37387421*s[59])/7128 + (12116365*s[60])/528 - 
       (100705241*s[61])/64152 + s[71] + 4*s[73] + s[74] - s[75] - 2*s[77] + 
       2*s[78] + 84*s[79] - (194*s[80])/3 - 22*s[82] - (3*s[83])/2 - 
       3*s[84] + 8*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Phi6[u, v, w]*((19*s[2])/2 + (37*s[3])/4 - (489*s[4])/8 + 
       (3647*s[5])/44 + (12591*s[6])/88 + (377209*s[7])/528 - 
       (7597*s[8])/264 - (3707*s[9])/6 - (956*s[10])/3 - (127793*s[11])/176 - 
       (28977*s[12])/44 - (185381*s[13])/528 - (89593*s[14])/176 - 
       (48479*s[15])/48 - (42890*s[16])/33 - (721357*s[17])/528 - 
       (3419*s[18])/18 - (5533*s[19])/72 - (1416793*s[20])/792 - 
       (152819*s[21])/176 + (558659*s[22])/1584 - (18959*s[23])/132 + 
       (86015*s[24])/99 - (182885*s[25])/264 + (171209*s[26])/264 - 4*s[29] - 
       3*s[30] - 2*s[31] - 2*s[32] - 7*s[33] + 3*s[34] - 2*s[35] - 5*s[36] - 
       15*s[38] + (295*s[39])/4 - (435*s[40])/4 + (457*s[41])/4 - 
       (553*s[42])/4 + (1983*s[43])/44 + (5629*s[44])/88 + (4681*s[45])/22 - 
       (30703*s[46])/44 - (18947*s[47])/264 + (25603*s[48])/264 + 
       (9233*s[49])/264 + (4957*s[50])/11 - (39257*s[51])/264 - 
       (13675*s[52])/264 - (14023*s[53])/33 + (441*s[54])/11 - 
       (783731*s[55])/264 - (89015*s[56])/88 - (48556*s[57])/33 - 
       (593353*s[58])/792 + (528439*s[59])/792 + (9798385*s[60])/1584 - 
       (483451*s[61])/792 - 2*s[65] - 4*s[66] + 8*s[67] + 8*s[68] + 
       12*s[69] + 4*s[70] + 2*s[71] + 4*s[72] - 6*s[73] + 5*s[74] - 5*s[75] + 
       4*s[76] + 2*s[77] + 2*s[78] - 60*s[79] + 6*s[80] + 92*s[82] + 
       16*s[85])*\[Zeta][2] + F1[w, u, v]*HPL[{1}, 1 - w]*
      ((175*s[2])/2 - (65*s[3])/4 + (5101*s[4])/8 + (33179*s[5])/44 + 
       (137993*s[6])/88 + (21872665*s[7])/1584 - (656969*s[8])/792 - 
       (211795*s[9])/18 - (37771*s[10])/9 - (2651531*s[11])/176 - 
       (2083861*s[12])/132 - (14940461*s[13])/1584 - (474539*s[14])/176 - 
       (2787895*s[15])/144 - (4771495*s[16])/198 - (31880941*s[17])/1584 - 
       (20708*s[18])/9 - (187759*s[19])/72 - (22383407*s[20])/792 - 
       (50651899*s[21])/4752 + (34513603*s[22])/4752 + (4857481*s[23])/396 + 
       (4742857*s[24])/297 - (396945437*s[25])/21384 + 
       (227555393*s[26])/21384 - 3*s[30] + 24*s[31] - 15*s[32] + 10*s[33] - 
       43*s[34] + 3*s[35] - (190*s[36])/3 + 28*s[37] + 448*s[38] - 
       (6475*s[39])/4 + (21433*s[40])/12 - (5731*s[41])/4 + 
       (25895*s[42])/12 + (240167*s[43])/132 - (110485*s[44])/66 + 
       (22863*s[45])/11 - (1987721*s[46])/132 + (46105*s[47])/396 + 
       (87352*s[48])/99 - (3300067*s[49])/396 + (390821*s[50])/33 + 
       (251017*s[51])/198 + (392123*s[52])/396 - (1676435*s[53])/198 - 
       (64813*s[54])/66 - (3548923*s[55])/66 - (5031373*s[56])/396 + 
       (5880205*s[57])/1188 - (74142215*s[58])/3564 + (39944101*s[59])/1782 + 
       (305258065*s[60])/2376 - (407820229*s[61])/64152 - 16*s[68] + 
       32*s[69] + 2*s[70] - s[71] - 2*s[72] - 70*s[73] + (9*s[74])/2 - 
       (9*s[75])/2 - 46*s[76] - 21*s[77] + 54*s[78] + 60*s[79] + 294*s[82] + 
       20*s[85])*\[Zeta][2] + F1[v, w, u]*HPL[{1}, 1 - v]*
      ((155*s[2])/2 + (33*s[3])/4 + (5945*s[4])/8 + (28397*s[5])/44 + 
       (126881*s[6])/88 + (2354483*s[7])/176 - (2257967*s[8])/2376 - 
       (1215653*s[9])/108 - (106939*s[10])/27 - (23164481*s[11])/1584 - 
       (1535626*s[12])/99 - (14700251*s[13])/1584 - (3011705*s[14])/1584 - 
       (2686225*s[15])/144 - (2298035*s[16])/99 - (30126995*s[17])/1584 - 
       (691465*s[18])/324 - (1713589*s[19])/648 - (190248193*s[20])/7128 - 
       (139679051*s[21])/14256 + (99740395*s[22])/14256 + 
       (2607233*s[23])/198 + (54752881*s[24])/3564 - (589879163*s[25])/
        32076 + (326597807*s[26])/32076 + 22*s[31] - 14*s[32] + 
       (17*s[33])/4 - 38*s[34] + 3*s[35] - (190*s[36])/3 + 28*s[37] + 
       448*s[38] - (6475*s[39])/4 + (21433*s[40])/12 - (5731*s[41])/4 + 
       (25895*s[42])/12 + (240167*s[43])/132 - (110485*s[44])/66 + 
       (22863*s[45])/11 - (1987721*s[46])/132 + (46105*s[47])/396 + 
       (87352*s[48])/99 - (3300067*s[49])/396 + (390821*s[50])/33 + 
       (251017*s[51])/198 + (392123*s[52])/396 - (1676435*s[53])/198 - 
       (64813*s[54])/66 - (3548923*s[55])/66 - (5031373*s[56])/396 + 
       (5880205*s[57])/1188 - (74142215*s[58])/3564 + (39944101*s[59])/1782 + 
       (305258065*s[60])/2376 - (407820229*s[61])/64152 - 16*s[68] + 
       32*s[69] + 2*s[70] - s[71] - 2*s[72] - 70*s[73] + (9*s[74])/2 - 
       (9*s[75])/2 - 46*s[76] - 21*s[77] + 54*s[78] + 60*s[79] + 294*s[82] + 
       20*s[85])*\[Zeta][2] + HPL[{1}, 1 - w]*Phi6[u, v, w]*
      (-s[2] - (49*s[3])/2 + (51*s[4])/4 - (1883*s[5])/22 - (6595*s[6])/44 - 
       (1019675*s[7])/792 - (14081*s[8])/1188 + (59437*s[9])/54 + 
       (37799*s[10])/54 + (1015219*s[11])/792 + (433429*s[12])/396 + 
       (456575*s[13])/792 + (660577*s[14])/792 + (158101*s[15])/72 + 
       (255334*s[16])/99 + (238717*s[17])/88 + (29837*s[18])/162 + 
       (135287*s[19])/324 + (11765381*s[20])/3564 + (9112171*s[21])/7128 - 
       (4729907*s[22])/7128 + (245785*s[23])/396 - (6958249*s[24])/3564 + 
       (21550021*s[25])/16038 - (15345835*s[26])/16038 - 2*s[29] + 4*s[30] + 
       2*s[31] + (11*s[33])/2 - 10*s[34] - 2*s[35] - (29*s[36])/3 + 
       (31*s[37])/2 + 28*s[38] - (533*s[39])/4 + (1379*s[40])/12 - 
       (277*s[41])/4 + (2539*s[42])/12 + (2449*s[43])/132 - 
       (9401*s[44])/264 - (2715*s[45])/44 + (74*s[46])/33 + 
       (137569*s[47])/792 - (213221*s[48])/792 - (29995*s[49])/792 - 
       (9475*s[50])/66 + (132419*s[51])/792 + (120911*s[52])/792 + 
       (7459*s[53])/99 + (7112*s[54])/33 + (247967*s[55])/264 + 
       (33155*s[56])/792 + (1634143*s[57])/594 - (5350997*s[58])/7128 + 
       (4673981*s[59])/7128 - (9500297*s[60])/4752 + (2603663*s[61])/32076 - 
       s[65] - 2*s[66] + 2*s[67] + 8*s[68] - 2*s[70] + s[71] + 4*s[72] - 
       8*s[73] - 2*s[74] + 2*s[75] - 6*s[76] + 4*s[77] + 12*s[78] - 4*s[79] + 
       7*s[80] - 140*s[82] - 24*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*Phi6[u, v, w]*(7*s[2] + 12*s[3] + (105*s[4])/2 + 
       (3119*s[5])/44 + (6785*s[6])/44 + (38737*s[7])/33 - (3941*s[8])/44 - 
       (3949*s[9])/4 - (1287*s[10])/4 - (13859*s[11])/11 - (57797*s[12])/44 - 
       (105143*s[13])/132 - (9597*s[14])/44 - (19633*s[15])/12 - 
       (265379*s[16])/132 - (221845*s[17])/132 - (9215*s[18])/36 - 
       (2291*s[19])/18 - (234493*s[20])/99 - (188299*s[21])/198 + 
       (80269*s[22])/132 + (184915*s[23])/132 + (53107*s[24])/44 - 
       (11031433*s[25])/7128 + (6669457*s[26])/7128 + 2*s[30] + 4*s[31] + 
       s[32] + 4*s[33] - 8*s[34] - 2*s[35] - (29*s[36])/3 + (31*s[37])/2 + 
       28*s[38] - (533*s[39])/4 + (1379*s[40])/12 - (277*s[41])/4 + 
       (2539*s[42])/12 + (2449*s[43])/132 - (9401*s[44])/264 - 
       (2715*s[45])/44 + (74*s[46])/33 + (137569*s[47])/792 - 
       (213221*s[48])/792 - (29995*s[49])/792 - (9475*s[50])/66 + 
       (132419*s[51])/792 + (120911*s[52])/792 + (7459*s[53])/99 + 
       (7112*s[54])/33 + (247967*s[55])/264 + (33155*s[56])/792 + 
       (1634143*s[57])/594 - (5350997*s[58])/7128 + (4673981*s[59])/7128 - 
       (9500297*s[60])/4752 + (2603663*s[61])/32076 - s[65] - 2*s[66] + 
       2*s[67] + 8*s[68] - 2*s[70] + s[71] + 4*s[72] - 8*s[73] - 2*s[74] + 
       2*s[75] - 6*s[76] + 4*s[77] + 12*s[78] - 4*s[79] + 7*s[80] - 
       140*s[82] - 24*s[85])*\[Zeta][3]
 
SuvwCoproductEntries[1 - v] = C5[u, v, w]*s[4] + C1[u, v, w]*s[9] + 
     C8[w, u, v]*s[23] + C17[w, u, v]*s[27] + C12[u, w, v]*s[29] + 
     C12[u, v, w]*s[31] + C12[v, u, w]*s[34] + C5[v, w, u]*s[35] + 
     C3[v, u, w]*s[36] + A7[w, u, v]*HPL[{1}, 1 - u]*s[38] - 
     A7[w, u, v]*HPL[{1}, 1 - w]*s[38] + C4[v, w, u]*s[40] - 
     A6[v, w, u]*HPL[{1}, 1 - u]*s[49] + A6[v, w, u]*HPL[{1}, 1 - w]*s[49] - 
     A2[u, v, w]*HPL[{1}, 1 - u]*s[51] + A2[u, v, w]*HPL[{1}, 1 - w]*s[51] + 
     A3[v, w, u]*HPL[{1}, 1 - u]*(s[15] - 2*s[51] - s[55]) + 
     C6[v, w, u]*s[55] + A3[v, w, u]*HPL[{1}, 1 - w]*
      (-s[15] + 2*s[51] + s[55]) + C8[v, w, u]*s[57] + C7[v, w, u]*s[58] + 
     C2[v, u, w]*s[59] + 2*C9[w, u, v]*s[60] + C2[w, v, u]*(s[16] + s[60]) + 
     C2[v, w, u]*(s[59] + s[60]) + C9[v, w, u]*(-s[55] - 3*s[57] + s[58] - 
       s[59] + 2*s[60]) + A10[v, w, u]*HPL[{1}, 1 - w]*
      (8*s[4] + 58*s[7] - (40*s[8])/3 - (136*s[9])/3 - (32*s[10])/3 - 
       60*s[11] - 72*s[12] - 32*s[13] + 20*s[14] - 80*s[15] - 98*s[16] - 
       64*s[17] - (140*s[18])/9 - (28*s[19])/9 - (920*s[20])/9 - 
       (320*s[21])/9 + (268*s[22])/9 + 158*s[23] + (340*s[24])/9 - 
       (6656*s[25])/81 + (3380*s[26])/81 - 2*s[38] - 8*s[39] + 8*s[40] - 
       8*s[41] + 16*s[42] - 6*s[44] + 8*s[45] - 64*s[46] + 8*s[47] - 
       16*s[48] - 10*s[49] + 56*s[50] - 2*s[52] - 40*s[53] - (728*s[55])/3 - 
       70*s[56] + 126*s[57] - (398*s[58])/3 + (374*s[59])/3 + 
       (1253*s[60])/3 - (367*s[61])/9) + H1[u, v, w]*HPL[{1}, 1 - w]^2*
      ((-3*s[4])/2 + (27*s[5])/11 + (63*s[6])/44 + (1993*s[7])/88 - 
       (59*s[8])/66 - (239*s[9])/12 - (28*s[10])/3 - (224*s[11])/11 - 
       (703*s[12])/44 - (283*s[13])/44 - (116*s[14])/11 - (361*s[15])/8 - 
       (3777*s[16])/88 - (529*s[17])/11 - (121*s[18])/36 - (215*s[19])/36 - 
       (21893*s[20])/396 - (2165*s[21])/99 + (4453*s[22])/396 + 
       (907*s[23])/88 + (22193*s[24])/792 - (20039*s[25])/891 + 
       (58547*s[26])/3564 + s[35]/2 - s[36]/2 + (27*s[43])/22 - 
       (27*s[44])/44 + (54*s[45])/11 - (513*s[46])/22 - (37*s[47])/44 - 
       (15*s[48])/44 - (219*s[49])/44 + (225*s[50])/11 - (5*s[51])/44 - 
       (39*s[52])/44 - (843*s[53])/44 + (18*s[54])/11 - (2793*s[55])/22 - 
       (1017*s[56])/44 - (4285*s[57])/66 - (5111*s[58])/396 + 
       (9341*s[59])/396 + (55009*s[60])/264 - (46061*s[61])/3564) + 
     A5[u, v, w]*HPL[{1}, 1 - u]*((3*s[4])/2 + s[5] + (5*s[6])/2 + 
       (247*s[7])/12 - (41*s[8])/18 - (151*s[9])/9 - (47*s[10])/9 - 
       (251*s[11])/12 - (64*s[12])/3 - (145*s[13])/12 - (35*s[14])/12 - 
       (391*s[15])/12 - (215*s[16])/6 - (127*s[17])/4 - (86*s[18])/27 - 
       (191*s[19])/54 - (2191*s[20])/54 - (1589*s[21])/108 + 
       (1105*s[22])/108 + (139*s[23])/6 + (1235*s[24])/54 - 
       (6581*s[25])/243 + (3737*s[26])/243 - (3*s[39])/2 + (3*s[40])/2 - 
       (3*s[41])/2 + (5*s[42])/2 + (3*s[43])/2 - (5*s[44])/4 + (7*s[45])/2 - 
       23*s[46] + (7*s[47])/12 - (11*s[48])/12 - (73*s[49])/12 + 18*s[50] + 
       (17*s[51])/12 + (11*s[52])/12 - (47*s[53])/3 + 4*s[54] - 
       (399*s[55])/4 - (101*s[56])/4 - 11*s[57] - (1013*s[58])/36 + 
       (1169*s[59])/36 + (12985*s[60])/72 - (2045*s[61])/162) + 
     H1[u, v, w]*HPL[{1}, 1 - u]^2*((27*s[5])/11 + (63*s[6])/44 + 
       (1993*s[7])/88 - (59*s[8])/66 - (239*s[9])/12 - (28*s[10])/3 - 
       (224*s[11])/11 - (703*s[12])/44 - (283*s[13])/44 - (116*s[14])/11 - 
       (355*s[15])/8 - (3777*s[16])/88 - (529*s[17])/11 - (121*s[18])/36 - 
       (215*s[19])/36 - (21893*s[20])/396 - (4429*s[21])/198 + 
       (4453*s[22])/396 + (775*s[23])/88 + (21797*s[24])/792 - 
       (79265*s[25])/3564 + (29719*s[26])/1782 + s[35]/2 - s[36]/2 + 
       (27*s[43])/22 - (27*s[44])/44 + (54*s[45])/11 - (513*s[46])/22 - 
       (37*s[47])/44 - (15*s[48])/44 - (219*s[49])/44 + (225*s[50])/11 - 
       (27*s[51])/44 - (17*s[52])/44 - (843*s[53])/44 + (18*s[54])/11 - 
       (5619*s[55])/44 - (1017*s[56])/44 - (4351*s[57])/66 - 
       (5177*s[58])/396 + (9407*s[59])/396 + (18901*s[60])/88 - 
       (40319*s[61])/3564) + A5[w, u, v]*HPL[{1}, 1 - w]*
      (s[5] + s[6] + (59*s[7])/6 - (4*s[8])/9 - (76*s[9])/9 - (32*s[10])/9 - 
       (55*s[11])/6 - (25*s[12])/3 - (23*s[13])/6 - (31*s[14])/6 - 
       (101*s[15])/6 - (52*s[16])/3 - (35*s[17])/2 - (71*s[18])/27 - 
       (25*s[19])/27 - (644*s[20])/27 - (535*s[21])/54 + (263*s[22])/54 + 
       (17*s[23])/3 + (277*s[24])/27 - (4771*s[25])/486 + (3673*s[26])/486 + 
       s[44]/2 + 2*s[45] - 10*s[46] - s[47]/6 - s[48]/6 + s[49]/6 + 8*s[50] + 
       s[51]/6 + s[52]/6 - (20*s[53])/3 + 4*s[54] - (287*s[55])/6 - 
       (27*s[56])/2 - (55*s[57])/3 - (61*s[58])/6 + (21*s[59])/2 + 
       (2909*s[60])/36 - (1105*s[61])/162) + HPL[{1}, 1 - w]^2*J1[u, v, w]*
      ((-5*s[4])/8 + (45*s[5])/44 + (105*s[6])/176 + (3263*s[7])/352 - 
       (23*s[8])/88 - (131*s[9])/16 - 4*s[10] - (183*s[11])/22 - 
       (1113*s[12])/176 - (413*s[13])/176 - (93*s[14])/22 - (607*s[15])/32 - 
       (6295*s[16])/352 - (889*s[17])/44 - (23*s[18])/16 - (41*s[19])/16 - 
       (4051*s[20])/176 - (1237*s[21])/132 + (2425*s[22])/528 + 
       (1805*s[23])/352 + (12173*s[24])/1056 - (10705*s[25])/1188 + 
       (32839*s[26])/4752 - s[35]/8 + s[36]/8 + s[37]/2 + (45*s[43])/88 - 
       (45*s[44])/176 + (45*s[45])/22 - (855*s[46])/88 - (91*s[47])/176 - 
       (25*s[48])/176 - (365*s[49])/176 + (375*s[50])/44 - (67*s[51])/176 - 
       (65*s[52])/176 - (1405*s[53])/176 + (15*s[54])/22 - (4699*s[55])/88 - 
       (1695*s[56])/176 - (2449*s[57])/88 - (2683*s[58])/528 + 
       (5209*s[59])/528 + (30189*s[60])/352 - (26137*s[61])/4752) + 
     C15[u, w, v]*((3*s[4])/2 + (3*s[6])/2 + (127*s[7])/12 - (29*s[8])/18 - 
       (73*s[9])/9 - (17*s[10])/9 - (137*s[11])/12 - (37*s[12])/3 - 
       (91*s[13])/12 + (31*s[14])/12 - (187*s[15])/12 - (55*s[16])/3 - 
       (57*s[17])/4 - (20*s[18])/27 - (143*s[19])/54 - (907*s[20])/54 - 
       (551*s[21])/108 + (559*s[22])/108 + (56*s[23])/3 + (328*s[24])/27 - 
       (8071*s[25])/486 + (3787*s[26])/486 - (3*s[39])/2 + (3*s[40])/2 - 
       (3*s[41])/2 + (5*s[42])/2 + (3*s[43])/2 - (5*s[44])/4 + (3*s[45])/2 - 
       13*s[46] + (7*s[47])/12 - (11*s[48])/12 - (73*s[49])/12 + 10*s[50] + 
       (17*s[51])/12 + (11*s[52])/12 - (26*s[53])/3 - (203*s[55])/4 - 
       (45*s[56])/4 + 8*s[57] - (653*s[58])/36 + (773*s[59])/36 + 
       (7153*s[60])/72 - (442*s[61])/81) + C15[v, u, w]*
      ((3*s[5])/2 + (3*s[6])/2 + 13*s[7] - (13*s[8])/18 - (211*s[9])/18 - 
       (77*s[10])/18 - (37*s[11])/3 - (67*s[12])/6 - (35*s[13])/6 - 
       (35*s[14])/6 - (125*s[15])/6 - (137*s[16])/6 - (137*s[17])/6 - 
       (221*s[18])/54 - (5*s[19])/27 - (811*s[20])/27 - (376*s[21])/27 + 
       (361*s[22])/54 + (85*s[23])/6 + (673*s[24])/54 - (12823*s[25])/972 + 
       (10483*s[26])/972 + (3*s[45])/2 - (13*s[46])/2 + 5*s[50] - 
       (13*s[53])/3 - 30*s[55] - (26*s[56])/3 - (7*s[57])/9 - 
       (503*s[58])/54 + (265*s[59])/27 + (607*s[60])/12 - (4261*s[61])/972) + 
     HPL[{1}, 1 - u]^2*J1[u, v, w]*((45*s[5])/44 + (105*s[6])/176 + 
       (3263*s[7])/352 - (23*s[8])/88 - (131*s[9])/16 - 4*s[10] - 
       (183*s[11])/22 - (1113*s[12])/176 - (413*s[13])/176 - (93*s[14])/22 - 
       (597*s[15])/32 - (6295*s[16])/352 - (889*s[17])/44 - (23*s[18])/16 - 
       (41*s[19])/16 - (4051*s[20])/176 - (843*s[21])/88 + (2425*s[22])/528 + 
       (1409*s[23])/352 + (11953*s[24])/1056 - (42325*s[25])/4752 + 
       (16667*s[26])/2376 - s[35]/8 + s[36]/8 + s[37]/2 + (45*s[43])/88 - 
       (45*s[44])/176 + (45*s[45])/22 - (855*s[46])/88 - (91*s[47])/176 - 
       (25*s[48])/176 - (365*s[49])/176 + (375*s[50])/44 - (45*s[51])/176 + 
       s[52]/176 - (1405*s[53])/176 + (15*s[54])/22 - (9453*s[55])/176 - 
       (1695*s[56])/176 - (2515*s[57])/88 - (887*s[58])/176 + 
       (1729*s[59])/176 + (95209*s[60])/1056 - (20483*s[61])/4752) + 
     A1[u, w, v]*HPL[{1}, 1 - w]*((15*s[5])/11 + (23*s[6])/22 + 
       (368*s[7])/33 - (23*s[8])/66 - (61*s[9])/6 - (13*s[10])/3 - 
       (389*s[11])/44 - (195*s[12])/44 - (113*s[13])/66 - (62*s[14])/11 - 
       26*s[15] - (703*s[16])/33 - (3809*s[17])/132 - s[18]/18 - 
       (77*s[19])/18 - (5147*s[20])/198 - (689*s[21])/66 + (1031*s[22])/198 + 
       (83*s[23])/132 + (6037*s[24])/396 - (11945*s[25])/1188 + 
       (9443*s[26])/1188 - s[37] + (24*s[43])/11 + (9*s[44])/22 + 
       (30*s[45])/11 - (126*s[46])/11 - (20*s[47])/33 - (20*s[48])/33 - 
       (160*s[49])/33 + (103*s[50])/11 - (12*s[51])/11 - (5*s[52])/66 - 
       (398*s[53])/33 + (10*s[54])/11 - (796*s[55])/11 - (78*s[56])/11 - 
       (1703*s[57])/33 + (245*s[58])/99 + (1063*s[59])/99 + 
       (10709*s[60])/99 - (2081*s[61])/594) + A8[u, v, w]*HPL[{1}, 1 - w]*
      (-2*s[6] + (3*s[7])/2 - s[8] - s[9] - s[10] - s[11]/2 - 2*s[12] + 
       (5*s[13])/2 + (5*s[14])/2 - (5*s[15])/6 - 2*s[16] + (3*s[17])/2 - 
       (10*s[18])/3 + (7*s[19])/3 - (16*s[20])/3 - (11*s[21])/6 + 
       (5*s[22])/6 + 17*s[23] - 4*s[24] + (2*s[25])/9 + s[26]/9 + s[42] - 
       2*s[43] + s[44]/2 + (3*s[47])/2 - (9*s[48])/2 + (11*s[49])/2 + 
       2*s[50] + (5*s[51])/6 + s[52]/2 - (11*s[55])/6 - (7*s[56])/2 + 
       16*s[57] - (13*s[58])/2 + (5*s[59])/2 - (157*s[60])/12 - 
       (61*s[61])/18) + A4[w, u, v]*HPL[{1}, 1 - u]*(s[7]/6 + s[8]/9 + 
       s[9]/9 - s[10]/9 + s[11]/6 - (2*s[12])/3 + s[13]/3 - (5*s[14])/6 + 
       (13*s[15])/6 + (11*s[16])/6 + 4*s[17] - (70*s[18])/27 + 
       (67*s[19])/27 - (29*s[20])/54 - (13*s[21])/27 - (5*s[22])/54 + 
       (29*s[23])/6 - (161*s[24])/54 + (241*s[25])/486 + (37*s[26])/243 + 
       s[37] - s[43] + s[47]/6 + s[48]/6 + (17*s[49])/6 - s[50] + 
       (3*s[51])/2 + s[52]/3 + (5*s[53])/3 + 4*s[54] + (21*s[55])/2 - 
       (9*s[56])/2 + 10*s[57] - (53*s[58])/18 - (61*s[59])/18 - 
       (587*s[60])/36 - (307*s[61])/162) + A6[w, u, v]*HPL[{1}, 1 - w]*
      (-s[4] + s[6] - s[7]/6 + (4*s[8])/9 + (4*s[9])/9 - (4*s[10])/9 - 
       s[11]/3 - (7*s[12])/6 - (3*s[13])/2 - (11*s[14])/6 + (25*s[15])/6 + 
       2*s[16] + (10*s[17])/3 - (7*s[18])/27 + (22*s[19])/27 + 
       (35*s[20])/27 + (43*s[21])/54 - (11*s[22])/54 - (5*s[23])/2 - 
       (41*s[24])/54 - (221*s[25])/486 - (85*s[26])/486 + s[41] + 2*s[49] - 
       2*s[50] + 4*s[54] - 6*s[56] + (19*s[57])/3 - (17*s[58])/9 + 
       (17*s[59])/9 - (73*s[60])/6 - (137*s[61])/81) + 
     C21[w, u, v]*(2*s[6] + 2*s[7] - s[8] - s[9] - s[10] - 2*s[11] - 
       2*s[12] - 2*s[13] - 2*s[14] - 3*s[16] - 2*s[17] - (2*s[18])/3 + 
       (5*s[19])/3 - (8*s[20])/3 - (5*s[21])/3 + s[22] - s[24] - 
       (113*s[25])/54 + (95*s[26])/54 - 2*s[56] + s[57] - 2*s[58] + s[60]/3 - 
       (71*s[61])/54) + A6[u, v, w]*HPL[{1}, 1 - u]*(s[6] + s[7]/6 + s[10] - 
       s[12]/2 - (5*s[13])/6 - (3*s[14])/2 + (5*s[15])/2 + (8*s[16])/3 + 
       (10*s[17])/3 - (11*s[18])/9 + (20*s[19])/9 + (10*s[20])/9 - 
       (5*s[21])/18 - s[22]/6 + (31*s[23])/6 - (29*s[24])/6 + 
       (49*s[25])/162 + (77*s[26])/162 + s[47]/3 + s[48]/3 + (8*s[49])/3 - 
       2*s[50] + s[51] - (4*s[52])/3 + (4*s[53])/3 + 4*s[54] + 9*s[55] - 
       4*s[56] + (53*s[57])/3 - 8*s[58] + (10*s[59])/3 - (181*s[60])/9 - 
       (193*s[61])/162) + HPL[{1}, 1 - u]^2*J1[w, u, v]*
      ((9*s[5])/44 + (21*s[6])/176 + (811*s[7])/352 - (31*s[8])/88 - 
       (31*s[9])/16 - s[10]/2 - (93*s[11])/44 - (381*s[12])/176 - 
       (241*s[13])/176 - (57*s[14])/44 - (105*s[15])/32 - (1259*s[16])/352 - 
       (79*s[17])/22 - (3*s[18])/16 - (5*s[19])/16 - (819*s[20])/176 - 
       (107*s[21])/88 + (617*s[22])/528 - (35*s[23])/352 + 
       (2813*s[24])/1056 - (13085*s[25])/4752 + (2911*s[26])/2376 - s[35]/8 + 
       s[36]/8 + (9*s[43])/88 - (9*s[44])/176 + (9*s[45])/22 - 
       (171*s[46])/88 + (61*s[47])/176 - (5*s[48])/176 - (73*s[49])/176 + 
       (75*s[50])/44 - (9*s[51])/176 + (53*s[52])/176 - (281*s[53])/176 + 
       (3*s[54])/22 - (1653*s[55])/176 - (339*s[56])/176 - (239*s[57])/88 - 
       (371*s[58])/176 + (381*s[59])/176 + (17141*s[60])/1056 - 
       (4607*s[61])/4752) + HPL[{1}, 1 - w]^2*J1[v, w, u]*
      (-s[4]/8 + (9*s[5])/44 + (21*s[6])/176 + (547*s[7])/352 + 
       (13*s[8])/88 - (23*s[9])/16 - s[10] - (15*s[11])/11 - 
       (117*s[12])/176 + (23*s[13])/176 - (6*s[14])/11 - (131*s[15])/32 - 
       (1259*s[16])/352 - (191*s[17])/44 - (17*s[18])/48 - (31*s[19])/48 - 
       (2413*s[20])/528 - (103*s[21])/44 + (397*s[22])/528 + 
       (361*s[23])/352 + (2153*s[24])/1056 - (457*s[25])/396 + 
       (2377*s[26])/1584 - s[35]/8 + s[36]/8 + (9*s[43])/88 - (9*s[44])/176 + 
       (9*s[45])/22 - (171*s[46])/88 - (71*s[47])/176 - (5*s[48])/176 - 
       (73*s[49])/176 + (75*s[50])/44 + (13*s[51])/176 - (13*s[52])/176 - 
       (281*s[53])/176 + (3*s[54])/22 - (887*s[55])/88 - (339*s[56])/176 - 
       (217*s[57])/88 - (349*s[58])/176 + (623*s[59])/176 + 
       (5369*s[60])/352 - (485*s[61])/528) + A4[u, v, w]*HPL[{1}, 1 - w]*
      (-s[18]/3 + s[19]/3 + (2*s[20])/3 - (8*s[25])/27 + (8*s[26])/27 + 
       2*s[54] - 2*s[56] + 2*s[57] - (8*s[60])/3 - (22*s[61])/27) + 
     F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*(s[35] - s[36] - 
       (41*s[61])/54) + A2[v, w, u]*HPL[{1}, 1 - u]*(2*s[15] + s[16] + 
       s[17] + s[18]/3 - s[19]/3 + (4*s[20])/3 + (7*s[21])/3 + 2*s[23] - 
       s[24] - (25*s[25])/27 - (38*s[26])/27 + s[49] + s[51] - s[52] + 
       2*s[54] + 4*s[55] - s[56] + 3*s[57] - s[58] - (9*s[60])/2 - 
       (13*s[61])/18) + C23[w, u, v]*(s[6] + s[7] - (2*s[8])/3 - (2*s[9])/3 - 
       s[10]/3 - s[11] - s[12] - s[13] - s[14] - s[16] - s[18]/9 + 
       (7*s[19])/9 - (13*s[20])/9 - (4*s[21])/9 + (5*s[22])/9 - s[23] - 
       (4*s[24])/9 - (227*s[25])/162 + (137*s[26])/162 - s[56] + 
       (2*s[57])/3 - (7*s[58])/9 - (2*s[59])/9 + s[60]/2 - (113*s[61])/162) + 
     HPL[{1}, 1 - w]^2*J1[w, u, v]*(-s[4]/8 + (9*s[5])/44 + (21*s[6])/176 + 
       (811*s[7])/352 - (31*s[8])/88 - (31*s[9])/16 - s[10]/2 - 
       (93*s[11])/44 - (381*s[12])/176 - (241*s[13])/176 - (57*s[14])/44 - 
       (107*s[15])/32 - (1259*s[16])/352 - (79*s[17])/22 - (3*s[18])/16 - 
       (5*s[19])/16 - (819*s[20])/176 - (155*s[21])/132 + (617*s[22])/528 + 
       (97*s[23])/352 + (2857*s[24])/1056 - (824*s[25])/297 + 
       (5723*s[26])/4752 - (5*s[35])/8 + (5*s[36])/8 + (9*s[43])/88 - 
       (9*s[44])/176 + (9*s[45])/22 - (171*s[46])/88 + (61*s[47])/176 - 
       (5*s[48])/176 - (73*s[49])/176 + (75*s[50])/44 + (13*s[51])/176 - 
       (13*s[52])/176 - (281*s[53])/176 + (3*s[54])/22 - (953*s[55])/88 - 
       (339*s[56])/176 - (701*s[57])/88 - (167*s[58])/528 + (197*s[59])/528 + 
       (7041*s[60])/352 - (2737*s[61])/4752) + HPL[{1}, 1 - u]^2*J1[v, w, u]*
      ((9*s[5])/44 + (21*s[6])/176 + (547*s[7])/352 + (13*s[8])/88 - 
       (23*s[9])/16 - s[10] - (15*s[11])/11 - (117*s[12])/176 + 
       (23*s[13])/176 - (6*s[14])/11 - (129*s[15])/32 - (1259*s[16])/352 - 
       (191*s[17])/44 - (17*s[18])/48 - (31*s[19])/48 - (2413*s[20])/528 - 
       (629*s[21])/264 + (397*s[22])/528 + (493*s[23])/352 + 
       (703*s[24])/352 - (1795*s[25])/1584 + (1205*s[26])/792 - (5*s[35])/8 + 
       (5*s[36])/8 + (9*s[43])/88 - (9*s[44])/176 + (9*s[45])/22 - 
       (171*s[46])/88 - (71*s[47])/176 - (5*s[48])/176 - (73*s[49])/176 + 
       (75*s[50])/44 - (9*s[51])/176 - (79*s[52])/176 - (281*s[53])/176 + 
       (3*s[54])/22 - (2049*s[55])/176 - (339*s[56])/176 - (679*s[57])/88 - 
       (145*s[58])/528 + (967*s[59])/528 + (20309*s[60])/1056 - 
       (2627*s[61])/4752) + A1[w, u, v]*HPL[{1}, 1 - w]*
      (s[4] - (15*s[5])/11 + (87*s[6])/22 + (28*s[7])/33 - (7*s[8])/22 + 
       s[9]/2 + 2*s[10] - (293*s[11])/44 - (465*s[12])/44 - (877*s[13])/66 + 
       (113*s[14])/22 + (17*s[15])/3 - (56*s[16])/33 + (905*s[17])/132 + 
       (89*s[18])/18 - (71*s[19])/18 + (1094*s[20])/99 + (1253*s[21])/198 + 
       (28*s[22])/33 - (215*s[23])/132 + (1141*s[24])/132 - 
       (49349*s[25])/3564 + (9137*s[26])/3564 + s[38] - 2*s[39] + 2*s[40] - 
       s[41] + 2*s[42] + (31*s[43])/11 - (32*s[44])/11 - (19*s[45])/11 - 
       (72*s[46])/11 - (46*s[47])/33 + (185*s[48])/33 - (401*s[49])/33 + 
       (18*s[50])/11 + (14*s[51])/33 + (19*s[52])/33 + (2*s[53])/33 - 
       (10*s[54])/11 + (37*s[55])/11 - (54*s[56])/11 + (1252*s[57])/33 - 
       (584*s[58])/33 + (544*s[59])/33 + (5428*s[60])/99 - (481*s[61])/891) + 
     A1[v, u, w]*HPL[{1}, 1 - w]*((7*s[5])/11 + (21*s[6])/22 + 
       (226*s[7])/33 - (7*s[8])/22 - (11*s[9])/2 - 2*s[10] - (403*s[11])/44 - 
       (487*s[12])/44 - (349*s[13])/66 - (63*s[14])/22 - 5*s[15] - 
       (353*s[16])/33 - (481*s[17])/132 - (103*s[18])/18 + (49*s[19])/18 - 
       (1744*s[20])/99 - (1849*s[21])/198 + (127*s[22])/33 + 
       (3019*s[23])/132 + (503*s[24])/132 - (33443*s[25])/3564 + 
       (27683*s[26])/3564 + s[38] - 2*s[39] + 2*s[40] - s[41] + 2*s[42] + 
       (31*s[43])/11 - (32*s[44])/11 - (8*s[45])/11 - (72*s[46])/11 - 
       (46*s[47])/33 + (185*s[48])/33 - (401*s[49])/33 + (18*s[50])/11 + 
       (14*s[51])/33 + (19*s[52])/33 + (2*s[53])/33 - (10*s[54])/11 + 
       (37*s[55])/11 - (54*s[56])/11 + (1252*s[57])/33 - (584*s[58])/33 + 
       (544*s[59])/33 + (5428*s[60])/99 - (481*s[61])/891) + 
     A1[v, w, u]*HPL[{1}, 1 - u]*((7*s[5])/11 + (21*s[6])/22 + 
       (226*s[7])/33 - (7*s[8])/22 - (11*s[9])/2 - 2*s[10] - (359*s[11])/44 - 
       (487*s[12])/44 - (349*s[13])/66 - (63*s[14])/22 - 5*s[15] - 
       (353*s[16])/33 - (481*s[17])/132 - (103*s[18])/18 + (67*s[19])/18 - 
       (1744*s[20])/99 - (1981*s[21])/198 + (46*s[22])/11 + 
       (3283*s[23])/132 + (415*s[24])/132 - (26447*s[25])/3564 + 
       (26627*s[26])/3564 + s[37] + s[38] - 2*s[39] + 2*s[40] - s[41] + 
       2*s[42] + (31*s[43])/11 - (32*s[44])/11 - (8*s[45])/11 - 
       (72*s[46])/11 - (46*s[47])/33 + (185*s[48])/33 - (401*s[49])/33 + 
       (18*s[50])/11 + (14*s[51])/33 + (19*s[52])/33 + (2*s[53])/33 - 
       (10*s[54])/11 + (37*s[55])/11 - (54*s[56])/11 + (1318*s[57])/33 - 
       (202*s[58])/11 + (566*s[59])/33 + (5197*s[60])/99 - (415*s[61])/891) + 
     A9[u, v, w]*HPL[{1}, 1 - u]*(s[4]/2 + s[6]/2 + (9*s[7])/4 - s[8]/2 - 
       2*s[9] - (11*s[11])/4 - 3*s[12] - (9*s[13])/4 + s[14]/4 - 
       (47*s[15])/12 - 4*s[16] - (13*s[17])/4 - s[19]/2 - (7*s[20])/2 - 
       (11*s[21])/12 + (5*s[22])/4 + 3*s[23] + (8*s[24])/3 - (25*s[25])/6 + 
       (11*s[26])/6 - s[39]/2 + s[40]/2 - s[41]/2 + s[42]/2 + s[43]/2 - 
       s[44]/4 + s[45]/2 - 3*s[46] + s[47]/4 + (3*s[48])/4 - (7*s[49])/4 + 
       2*s[50] + (17*s[51])/12 + s[52]/4 - 2*s[53] - (125*s[55])/12 - 
       (9*s[56])/4 + (5*s[57])/3 - (157*s[58])/36 + (157*s[59])/36 + 
       (185*s[60])/8 - (37*s[61])/81) + C13[u, w, v]*(2*s[23] - (2*s[24])/3 + 
       4*s[57] - (4*s[58])/3 + (4*s[59])/3 - (2*s[60])/3 - (4*s[61])/9) + 
     F1[v, w, u]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*(s[35] - s[36] - 
       (23*s[61])/54) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*Phi6[u, v, w]*
      (s[35]/2 - s[36]/2 - (41*s[61])/108) + C10[u, v, w]*
      (3*s[57] - s[58] + s[59] - (7*s[60])/2 - s[61]/3) + 
     C11[w, u, v]*(s[57] - s[60] - s[61]/3) + 
     C20[v, w, u]*(-s[23]/2 - 2*s[54] + s[57] - (2*s[58])/3 - s[59]/3 - 
       (5*s[60])/3 - (5*s[61])/18) + A2[w, u, v]*HPL[{1}, 1 - w]*
      (-s[15] - s[18]/3 + s[19]/3 + (2*s[20])/3 - (8*s[25])/27 + 
       (8*s[26])/27 + s[47] - s[48] + s[49] + 2*s[51] + 2*s[54] + 3*s[55] - 
       s[56] + s[58] - 2*s[59] - (5*s[60])/2 - (2*s[61])/9) + 
     A2[u, w, v]*HPL[{1}, 1 - u]*(-s[18]/3 + s[19]/3 + (2*s[20])/3 - 
       (8*s[25])/27 + (8*s[26])/27 + s[47] - s[48] + 2*s[54] + 2*s[55] - 
       s[56] + s[58] - 2*s[59] - s[60]/2 - (2*s[61])/9) + 
     C13[v, u, w]*(-2*s[14] + (2*s[18])/3 + s[19]/3 - (4*s[20])/3 + 
       (2*s[21])/3 + s[22]/3 - 4*s[23] + 2*s[24] + (2*s[25])/9 - 
       (8*s[26])/9 + s[36] + 4*s[54] - 2*s[55] - 2*s[56] - 6*s[57] + 
       2*s[58] - 2*s[59] + (11*s[60])/3 - (2*s[61])/9) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*Phi6[u, v, w]*
      (s[35]/2 - s[36]/2 - (23*s[61])/108) + C20[u, v, w]*
      (-s[14] + s[23]/2 + 4*s[54] - s[55] - 2*s[56] - (3*s[57])/2 - s[58]/3 + 
       s[59]/3 - (3*s[60])/2 - (5*s[61])/27) + 
     C11[v, u, w]*(s[23] - (4*s[61])/27) + A2[w, v, u]*HPL[{1}, 1 - u]*
      ((-2*s[21])/3 - (2*s[24])/3 + s[25]/3 + s[26]/3 - s[51] - s[52] + 
       2*s[57] - (4*s[58])/3 + (4*s[59])/3 - (8*s[60])/3 - s[61]/9) + 
     A2[v, u, w]*HPL[{1}, 1 - u]*(-s[15] - s[16] - s[17] - s[18]/3 + 
       s[19]/3 - (4*s[20])/3 - (7*s[21])/3 + 2*s[23] + (25*s[25])/27 + 
       (38*s[26])/27 - s[47] + s[48] - s[49] - 2*s[51] + s[52] + 2*s[53] - 
       2*s[54] + 3*s[55] + s[56] + 2*s[57] - (7*s[58])/3 - (2*s[59])/3 + 
       (29*s[60])/6 - s[61]/9) + C20[w, u, v]*(-s[2] + s[21]/3 + s[23] + 
       s[24]/3 - s[25]/6 - s[26]/6 + 4*s[54] - 2*s[56] + s[57]/2 - s[60]/3 + 
       (5*s[61])/54) + A2[v, u, w]*HPL[{1}, 1 - w]*(s[15] + s[16] + s[17] + 
       s[18]/3 - s[19]/3 + (4*s[20])/3 + (7*s[21])/3 - 2*s[23] - 
       (25*s[25])/27 - (38*s[26])/27 + s[47] - s[48] + s[49] + 2*s[51] - 
       s[52] - 2*s[53] + 2*s[54] - 3*s[55] - s[56] - 2*s[57] + (7*s[58])/3 + 
       (2*s[59])/3 - (29*s[60])/6 + s[61]/9) + A2[w, v, u]*HPL[{1}, 1 - w]*
      ((2*s[21])/3 + (2*s[24])/3 - s[25]/3 - s[26]/3 + s[51] + s[52] - 
       2*s[57] + (4*s[58])/3 - (4*s[59])/3 + (8*s[60])/3 + s[61]/9) + 
     A2[u, w, v]*HPL[{1}, 1 - w]*(s[18]/3 - s[19]/3 - (2*s[20])/3 + 
       (8*s[25])/27 - (8*s[26])/27 - s[47] + s[48] - 2*s[54] - 2*s[55] + 
       s[56] - s[58] + 2*s[59] + s[60]/2 + (2*s[61])/9) + 
     A2[w, u, v]*HPL[{1}, 1 - u]*(s[15] + s[18]/3 - s[19]/3 - (2*s[20])/3 + 
       (8*s[25])/27 - (8*s[26])/27 - s[47] + s[48] - s[49] - 2*s[51] - 
       2*s[54] - 3*s[55] + s[56] - s[58] + 2*s[59] + (5*s[60])/2 + 
       (2*s[61])/9) + C26[u, v, w]*(s[9] - (2*s[21])/3 + 2*s[23] - 
       (2*s[24])/3 + s[25]/3 + s[26]/3 + s[33] + 2*s[54] - s[55] - s[57] - 
       (2*s[58])/3 + (2*s[59])/3 + 2*s[60] + s[61]/3) + 
     C26[w, u, v]*(2*s[54] - s[55] - 2*s[57] + (7*s[60])/3 + (11*s[61])/27) + 
     A9[u, v, w]*HPL[{1}, 1 - w]*(-s[4]/2 - s[6]/2 - (9*s[7])/4 + s[8]/2 + 
       2*s[9] + (11*s[11])/4 + 3*s[12] + (9*s[13])/4 - s[14]/4 + 
       (47*s[15])/12 + 4*s[16] + (13*s[17])/4 + s[19]/2 + (7*s[20])/2 + 
       (11*s[21])/12 - (5*s[22])/4 - 3*s[23] - (8*s[24])/3 + (25*s[25])/6 - 
       (11*s[26])/6 + s[39]/2 - s[40]/2 + s[41]/2 - s[42]/2 - s[43]/2 + 
       s[44]/4 - s[45]/2 + 3*s[46] - s[47]/4 - (3*s[48])/4 + (7*s[49])/4 - 
       2*s[50] - (17*s[51])/12 - s[52]/4 + 2*s[53] + (125*s[55])/12 + 
       (9*s[56])/4 - (5*s[57])/3 + (157*s[58])/36 - (157*s[59])/36 - 
       (185*s[60])/8 + (37*s[61])/81) + A1[v, w, u]*HPL[{1}, 1 - w]*
      ((-7*s[5])/11 - (21*s[6])/22 - (226*s[7])/33 + (7*s[8])/22 + 
       (11*s[9])/2 + 2*s[10] + (359*s[11])/44 + (487*s[12])/44 + 
       (349*s[13])/66 + (63*s[14])/22 + 5*s[15] + (353*s[16])/33 + 
       (481*s[17])/132 + (103*s[18])/18 - (67*s[19])/18 + (1744*s[20])/99 + 
       (1981*s[21])/198 - (46*s[22])/11 - (3283*s[23])/132 - 
       (415*s[24])/132 + (26447*s[25])/3564 - (26627*s[26])/3564 - s[37] - 
       s[38] + 2*s[39] - 2*s[40] + s[41] - 2*s[42] - (31*s[43])/11 + 
       (32*s[44])/11 + (8*s[45])/11 + (72*s[46])/11 + (46*s[47])/33 - 
       (185*s[48])/33 + (401*s[49])/33 - (18*s[50])/11 - (14*s[51])/33 - 
       (19*s[52])/33 - (2*s[53])/33 + (10*s[54])/11 - (37*s[55])/11 + 
       (54*s[56])/11 - (1318*s[57])/33 + (202*s[58])/11 - (566*s[59])/33 - 
       (5197*s[60])/99 + (415*s[61])/891) + C10[v, w, u]*(s[36] + s[61]/2) + 
     C13[w, u, v]*(2*s[23] - (2*s[24])/3 + s[40] + s[45] + 2*s[57] - 
       (4*s[58])/3 + (4*s[59])/3 - (2*s[60])/3 + (14*s[61])/27) + 
     C13[v, w, u]*(-2*s[2] - (2*s[18])/3 - s[19]/3 + (4*s[20])/3 - 
       (2*s[21])/3 - s[22]/3 - (2*s[24])/3 + (7*s[25])/9 + (8*s[26])/9 + 
       4*s[54] - 2*s[56] - (2*s[58])/3 + (2*s[59])/3 + s[60]/3 + 
       (14*s[61])/27) + C14[v, u, w]*(6*s[23] - (4*s[24])/3 + 2*s[49] - 
       2*s[50] + 8*s[54] - 4*s[56] - 6*s[57] + (4*s[60])/3 + (14*s[61])/27) + 
     C14[v, w, u]*(6*s[23] - (4*s[24])/3 - s[38] + s[39] + 2*s[49] - 
       2*s[50] + 8*s[54] - 4*s[56] - 6*s[57] + (4*s[60])/3 + (14*s[61])/27) + 
     A1[v, u, w]*HPL[{1}, 1 - u]*((-7*s[5])/11 - (21*s[6])/22 - 
       (226*s[7])/33 + (7*s[8])/22 + (11*s[9])/2 + 2*s[10] + (403*s[11])/44 + 
       (487*s[12])/44 + (349*s[13])/66 + (63*s[14])/22 + 5*s[15] + 
       (353*s[16])/33 + (481*s[17])/132 + (103*s[18])/18 - (49*s[19])/18 + 
       (1744*s[20])/99 + (1849*s[21])/198 - (127*s[22])/33 - 
       (3019*s[23])/132 - (503*s[24])/132 + (33443*s[25])/3564 - 
       (27683*s[26])/3564 - s[38] + 2*s[39] - 2*s[40] + s[41] - 2*s[42] - 
       (31*s[43])/11 + (32*s[44])/11 + (8*s[45])/11 + (72*s[46])/11 + 
       (46*s[47])/33 - (185*s[48])/33 + (401*s[49])/33 - (18*s[50])/11 - 
       (14*s[51])/33 - (19*s[52])/33 - (2*s[53])/33 + (10*s[54])/11 - 
       (37*s[55])/11 + (54*s[56])/11 - (1252*s[57])/33 + (584*s[58])/33 - 
       (544*s[59])/33 - (5428*s[60])/99 + (481*s[61])/891) + 
     A1[w, u, v]*HPL[{1}, 1 - u]*(-s[4] + (15*s[5])/11 - (87*s[6])/22 - 
       (28*s[7])/33 + (7*s[8])/22 - s[9]/2 - 2*s[10] + (293*s[11])/44 + 
       (465*s[12])/44 + (877*s[13])/66 - (113*s[14])/22 - (17*s[15])/3 + 
       (56*s[16])/33 - (905*s[17])/132 - (89*s[18])/18 + (71*s[19])/18 - 
       (1094*s[20])/99 - (1253*s[21])/198 - (28*s[22])/33 + (215*s[23])/132 - 
       (1141*s[24])/132 + (49349*s[25])/3564 - (9137*s[26])/3564 - s[38] + 
       2*s[39] - 2*s[40] + s[41] - 2*s[42] - (31*s[43])/11 + (32*s[44])/11 + 
       (19*s[45])/11 + (72*s[46])/11 + (46*s[47])/33 - (185*s[48])/33 + 
       (401*s[49])/33 - (18*s[50])/11 - (14*s[51])/33 - (19*s[52])/33 - 
       (2*s[53])/33 + (10*s[54])/11 - (37*s[55])/11 + (54*s[56])/11 - 
       (1252*s[57])/33 + (584*s[58])/33 - (544*s[59])/33 - (5428*s[60])/99 + 
       (481*s[61])/891) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      Phi6[u, v, w]*(-s[35] + s[36] + (16*s[61])/27) + 
     A2[v, w, u]*HPL[{1}, 1 - w]*(-2*s[15] - s[16] - s[17] - s[18]/3 + 
       s[19]/3 - (4*s[20])/3 - (7*s[21])/3 - 2*s[23] + s[24] + 
       (25*s[25])/27 + (38*s[26])/27 - s[49] - s[51] + s[52] - 2*s[54] - 
       4*s[55] + s[56] - 3*s[57] + s[58] + (9*s[60])/2 + (13*s[61])/18) + 
     C11[v, w, u]*(5*s[23] - 2*s[24] + 6*s[57] - 4*s[58] + 4*s[59] - 
       2*s[60] + (22*s[61])/27) + A4[u, v, w]*HPL[{1}, 1 - u]*
      (s[18]/3 - s[19]/3 - (2*s[20])/3 + (8*s[25])/27 - (8*s[26])/27 - 
       2*s[54] + 2*s[56] - 2*s[57] + (8*s[60])/3 + (22*s[61])/27) + 
     C10[w, u, v]*(-s[21] - s[24] + s[25]/2 + s[26]/2 + 3*s[57] - 2*s[58] + 
       2*s[59] - s[60] + (5*s[61])/6) + C3[w, v, u]*s[61] + 
     (10*A1[w, v, u]*HPL[{1}, 1 - u]*s[61])/27 + 
     (5*A4[v, w, u]*HPL[{1}, 1 - u]*s[61])/27 - 
     (A5[v, w, u]*HPL[{1}, 1 - u]*s[61])/9 - 
     (10*A1[w, v, u]*HPL[{1}, 1 - w]*s[61])/27 - 
     (5*A4[v, w, u]*HPL[{1}, 1 - w]*s[61])/27 + 
     (A5[v, w, u]*HPL[{1}, 1 - w]*s[61])/9 + C3[v, w, u]*(s[36] + s[61]) + 
     F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      (-2*s[35] + 2*s[36] + (32*s[61])/27) + A6[u, v, w]*HPL[{1}, 1 - w]*
      (-s[6] - s[7]/6 - s[10] + s[12]/2 + (5*s[13])/6 + (3*s[14])/2 - 
       (5*s[15])/2 - (8*s[16])/3 - (10*s[17])/3 + (11*s[18])/9 - 
       (20*s[19])/9 - (10*s[20])/9 + (5*s[21])/18 + s[22]/6 - (31*s[23])/6 + 
       (29*s[24])/6 - (49*s[25])/162 - (77*s[26])/162 - s[47]/3 - s[48]/3 - 
       (8*s[49])/3 + 2*s[50] - s[51] + (4*s[52])/3 - (4*s[53])/3 - 4*s[54] - 
       9*s[55] + 4*s[56] - (53*s[57])/3 + 8*s[58] - (10*s[59])/3 + 
       (181*s[60])/9 + (193*s[61])/162) + C24[w, u, v]*
      (-2*s[6] - 2*s[7] + s[9] + s[10] + 2*s[11] + 2*s[12] + 2*s[13] + 
       2*s[14] + 2*s[16] + s[17] + (5*s[18])/3 - (5*s[19])/3 + (8*s[20])/3 + 
       (5*s[21])/3 - (2*s[22])/3 + s[24] + (41*s[25])/18 - (35*s[26])/18 + 
       2*s[46] + 2*s[56] - s[57] + 2*s[58] + (2*s[60])/3 + (3*s[61])/2) + 
     A6[w, u, v]*HPL[{1}, 1 - u]*(s[4] - s[6] + s[7]/6 - (4*s[8])/9 - 
       (4*s[9])/9 + (4*s[10])/9 + s[11]/3 + (7*s[12])/6 + (3*s[13])/2 + 
       (11*s[14])/6 - (25*s[15])/6 - 2*s[16] - (10*s[17])/3 + (7*s[18])/27 - 
       (22*s[19])/27 - (35*s[20])/27 - (43*s[21])/54 + (11*s[22])/54 + 
       (5*s[23])/2 + (41*s[24])/54 + (221*s[25])/486 + (85*s[26])/486 - 
       s[41] - 2*s[49] + 2*s[50] - 4*s[54] + 6*s[56] - (19*s[57])/3 + 
       (17*s[58])/9 - (17*s[59])/9 + (73*s[60])/6 + (137*s[61])/81) + 
     A4[w, u, v]*HPL[{1}, 1 - w]*(-s[7]/6 - s[8]/9 - s[9]/9 + s[10]/9 - 
       s[11]/6 + (2*s[12])/3 - s[13]/3 + (5*s[14])/6 - (13*s[15])/6 - 
       (11*s[16])/6 - 4*s[17] + (70*s[18])/27 - (67*s[19])/27 + 
       (29*s[20])/54 + (13*s[21])/27 + (5*s[22])/54 - (29*s[23])/6 + 
       (161*s[24])/54 - (241*s[25])/486 - (37*s[26])/243 - s[37] + s[43] - 
       s[47]/6 - s[48]/6 - (17*s[49])/6 + s[50] - (3*s[51])/2 - s[52]/3 - 
       (5*s[53])/3 - 4*s[54] - (21*s[55])/2 + (9*s[56])/2 - 10*s[57] + 
       (53*s[58])/18 + (61*s[59])/18 + (587*s[60])/36 + (307*s[61])/162) + 
     H1[w, u, v]*HPL[{1}, 1 - u]^2*((-9*s[5])/11 - (21*s[6])/44 - 
       (635*s[7])/88 + (5*s[8])/66 + (77*s[9])/12 + (10*s[10])/3 + 
       (71*s[11])/11 + (205*s[12])/44 + (65*s[13])/44 + (35*s[14])/11 + 
       (121*s[15])/8 + (1259*s[16])/88 + (180*s[17])/11 + (43*s[18])/36 + 
       (77*s[19])/36 + (7283*s[20])/396 + (1579*s[21])/198 - 
       (1411*s[22])/396 - (317*s[23])/88 - (7031*s[24])/792 + 
       (23855*s[25])/3564 - (10141*s[26])/1782 + s[35]/2 - s[36]/2 - 
       (9*s[43])/22 + (9*s[44])/44 - (18*s[45])/11 + (171*s[46])/22 + 
       (27*s[47])/44 + (5*s[48])/44 + (73*s[49])/44 - (75*s[50])/11 + 
       (9*s[51])/44 + (35*s[52])/44 + (281*s[53])/44 - (6*s[54])/11 + 
       (1917*s[55])/44 + (339*s[56])/44 + (1597*s[57])/66 + 
       (1403*s[58])/396 - (3077*s[59])/396 - (19253*s[60])/264 + 
       (10565*s[61])/3564) + HPL[{1}, 1 - u]^4*Phi6[u, v, w]*
      ((-9*s[5])/11 - (21*s[6])/44 - (635*s[7])/88 + (5*s[8])/66 + 
       (77*s[9])/12 + (10*s[10])/3 + (71*s[11])/11 + (205*s[12])/44 + 
       (65*s[13])/44 + (35*s[14])/11 + (121*s[15])/8 + (1259*s[16])/88 + 
       (180*s[17])/11 + (43*s[18])/36 + (77*s[19])/36 + (7283*s[20])/396 + 
       (1579*s[21])/198 - (1411*s[22])/396 - (317*s[23])/88 - 
       (7031*s[24])/792 + (23855*s[25])/3564 - (10141*s[26])/1782 + s[35]/2 - 
       s[36]/2 - s[37]/4 - (9*s[43])/22 + (9*s[44])/44 - (18*s[45])/11 + 
       (171*s[46])/22 + (27*s[47])/44 + (5*s[48])/44 + (73*s[49])/44 - 
       (75*s[50])/11 + (9*s[51])/44 + (13*s[52])/44 + (281*s[53])/44 - 
       (6*s[54])/11 + (1917*s[55])/44 + (339*s[56])/44 + (1597*s[57])/66 + 
       (1403*s[58])/396 - (3077*s[59])/396 - (19253*s[60])/264 + 
       (11555*s[61])/3564) + A8[u, v, w]*HPL[{1}, 1 - u]*
      (2*s[6] - (3*s[7])/2 + s[8] + s[9] + s[10] + s[11]/2 + 2*s[12] - 
       (5*s[13])/2 - (5*s[14])/2 + (5*s[15])/6 + 2*s[16] - (3*s[17])/2 + 
       (10*s[18])/3 - (7*s[19])/3 + (16*s[20])/3 + (11*s[21])/6 - 
       (5*s[22])/6 - 17*s[23] + 4*s[24] - (2*s[25])/9 - s[26]/9 - s[42] + 
       2*s[43] - s[44]/2 - (3*s[47])/2 + (9*s[48])/2 - (11*s[49])/2 - 
       2*s[50] - (5*s[51])/6 - s[52]/2 + (11*s[55])/6 + (7*s[56])/2 - 
       16*s[57] + (13*s[58])/2 - (5*s[59])/2 + (157*s[60])/12 + 
       (61*s[61])/18) + A1[u, w, v]*HPL[{1}, 1 - u]*
      ((-15*s[5])/11 - (23*s[6])/22 - (368*s[7])/33 + (23*s[8])/66 + 
       (61*s[9])/6 + (13*s[10])/3 + (389*s[11])/44 + (195*s[12])/44 + 
       (113*s[13])/66 + (62*s[14])/11 + 26*s[15] + (703*s[16])/33 + 
       (3809*s[17])/132 + s[18]/18 + (77*s[19])/18 + (5147*s[20])/198 + 
       (689*s[21])/66 - (1031*s[22])/198 - (83*s[23])/132 - 
       (6037*s[24])/396 + (11945*s[25])/1188 - (9443*s[26])/1188 + s[37] - 
       (24*s[43])/11 - (9*s[44])/22 - (30*s[45])/11 + (126*s[46])/11 + 
       (20*s[47])/33 + (20*s[48])/33 + (160*s[49])/33 - (103*s[50])/11 + 
       (12*s[51])/11 + (5*s[52])/66 + (398*s[53])/33 - (10*s[54])/11 + 
       (796*s[55])/11 + (78*s[56])/11 + (1703*s[57])/33 - (245*s[58])/99 - 
       (1063*s[59])/99 - (10709*s[60])/99 + (2081*s[61])/594) + 
     HPL[{1}, 1 - w]^4*Phi6[u, v, w]*(s[4]/2 - (9*s[5])/11 - (21*s[6])/44 - 
       (679*s[7])/88 + (9*s[8])/22 + (27*s[9])/4 + 3*s[10] + (153*s[11])/22 + 
       (249*s[12])/44 + (109*s[13])/44 + (81*s[14])/22 + (119*s[15])/8 + 
       (1259*s[16])/88 + (349*s[17])/22 + (13*s[18])/12 + (23*s[19])/12 + 
       (2435*s[20])/132 + (232*s[21])/33 - (169*s[22])/44 - (317*s[23])/88 - 
       (835*s[24])/88 + (4667*s[25])/594 - (6427*s[26])/1188 + s[35]/2 - 
       s[36]/2 - s[37]/4 - (9*s[43])/22 + (9*s[44])/44 - (18*s[45])/11 + 
       (171*s[46])/22 + (5*s[47])/44 + (5*s[48])/44 + (73*s[49])/44 - 
       (75*s[50])/11 + (9*s[51])/44 + (13*s[52])/44 + (281*s[53])/44 - 
       (6*s[54])/11 + (471*s[55])/11 + (339*s[56])/44 + (525*s[57])/22 + 
       (475*s[58])/132 - (901*s[59])/132 - (6205*s[60])/88 + 
       (9643*s[61])/2376) + H1[v, w, u]*HPL[{1}, 1 - w]^2*
      (s[4]/2 - (9*s[5])/11 - (21*s[6])/44 - (723*s[7])/88 + (49*s[8])/66 + 
       (85*s[9])/12 + (8*s[10])/3 + (82*s[11])/11 + (293*s[12])/44 + 
       (153*s[13])/44 + (46*s[14])/11 + (115*s[15])/8 + (1259*s[16])/88 + 
       (169*s[17])/11 + (35*s[18])/36 + (61*s[19])/36 + (7327*s[20])/396 + 
       (619*s[21])/99 - (1631*s[22])/396 - (185*s[23])/88 - 
       (7867*s[24])/792 + (7963*s[25])/891 - (18577*s[26])/3564 + s[35]/2 - 
       s[36]/2 - (9*s[43])/22 + (9*s[44])/44 - (18*s[45])/11 + 
       (171*s[46])/22 - (17*s[47])/44 + (5*s[48])/44 + (73*s[49])/44 - 
       (75*s[50])/11 - (13*s[51])/44 + (13*s[52])/44 + (281*s[53])/44 - 
       (6*s[54])/11 + (931*s[55])/22 + (339*s[56])/44 + (1619*s[57])/66 + 
       (1381*s[58])/396 - (2263*s[59])/396 - (19451*s[60])/264 + 
       (14767*s[61])/3564) + H1[v, w, u]*HPL[{1}, 1 - u]^2*
      ((-9*s[5])/11 - (21*s[6])/44 - (723*s[7])/88 + (49*s[8])/66 + 
       (85*s[9])/12 + (8*s[10])/3 + (82*s[11])/11 + (293*s[12])/44 + 
       (153*s[13])/44 + (46*s[14])/11 + (113*s[15])/8 + (1259*s[16])/88 + 
       (169*s[17])/11 + (35*s[18])/36 + (61*s[19])/36 + (7327*s[20])/396 + 
       (1271*s[21])/198 - (1631*s[22])/396 - (141*s[23])/88 - 
       (7735*s[24])/792 + (31555*s[25])/3564 - (9437*s[26])/1782 - 
       (3*s[35])/2 + (3*s[36])/2 - (9*s[43])/22 + (9*s[44])/44 - 
       (18*s[45])/11 + (171*s[46])/22 - (17*s[47])/44 + (5*s[48])/44 + 
       (73*s[49])/44 - (75*s[50])/11 + (9*s[51])/44 - (9*s[52])/44 + 
       (281*s[53])/44 - (6*s[54])/11 + (1785*s[55])/44 + (339*s[56])/44 + 
       (1157*s[57])/66 + (2371*s[58])/396 - (3253*s[59])/396 - 
       (18197*s[60])/264 + (17209*s[61])/3564) + 
     H1[w, u, v]*HPL[{1}, 1 - w]^2*(s[4]/2 - (9*s[5])/11 - (21*s[6])/44 - 
       (635*s[7])/88 + (5*s[8])/66 + (77*s[9])/12 + (10*s[10])/3 + 
       (71*s[11])/11 + (205*s[12])/44 + (65*s[13])/44 + (35*s[14])/11 + 
       (123*s[15])/8 + (1259*s[16])/88 + (180*s[17])/11 + (43*s[18])/36 + 
       (77*s[19])/36 + (7283*s[20])/396 + (773*s[21])/99 - (1411*s[22])/396 - 
       (273*s[23])/88 - (7163*s[24])/792 + (6038*s[25])/891 - 
       (19985*s[26])/3564 - (3*s[35])/2 + (3*s[36])/2 - (9*s[43])/22 + 
       (9*s[44])/44 - (18*s[45])/11 + (171*s[46])/22 + (27*s[47])/44 + 
       (5*s[48])/44 + (73*s[49])/44 - (75*s[50])/11 - (13*s[51])/44 + 
       (13*s[52])/44 + (281*s[53])/44 - (6*s[54])/11 + (909*s[55])/22 + 
       (339*s[56])/44 + (1135*s[57])/66 + (2261*s[58])/396 - 
       (3935*s[59])/396 - (17779*s[60])/264 + (17363*s[61])/3564) + 
     C15[w, u, v]*((-3*s[4])/2 - (3*s[6])/2 - (127*s[7])/12 + (29*s[8])/18 + 
       (73*s[9])/9 + (17*s[10])/9 + (137*s[11])/12 + (37*s[12])/3 + 
       (91*s[13])/12 - (31*s[14])/12 + (187*s[15])/12 + (55*s[16])/3 + 
       (57*s[17])/4 + (20*s[18])/27 + (143*s[19])/54 + (907*s[20])/54 + 
       (551*s[21])/108 - (559*s[22])/108 - (56*s[23])/3 - (328*s[24])/27 + 
       (8071*s[25])/486 - (3787*s[26])/486 + (3*s[39])/2 - (3*s[40])/2 + 
       (3*s[41])/2 - (5*s[42])/2 - (3*s[43])/2 + (5*s[44])/4 - (3*s[45])/2 + 
       13*s[46] - (7*s[47])/12 + (11*s[48])/12 + (73*s[49])/12 - 10*s[50] - 
       (17*s[51])/12 - (11*s[52])/12 + (26*s[53])/3 + (203*s[55])/4 + 
       (45*s[56])/4 - 8*s[57] + (653*s[58])/36 - (773*s[59])/36 - 
       (7153*s[60])/72 + (442*s[61])/81) + A5[w, u, v]*HPL[{1}, 1 - u]*
      (-s[5] - s[6] - (59*s[7])/6 + (4*s[8])/9 + (76*s[9])/9 + (32*s[10])/9 + 
       (55*s[11])/6 + (25*s[12])/3 + (23*s[13])/6 + (31*s[14])/6 + 
       (101*s[15])/6 + (52*s[16])/3 + (35*s[17])/2 + (71*s[18])/27 + 
       (25*s[19])/27 + (644*s[20])/27 + (535*s[21])/54 - (263*s[22])/54 - 
       (17*s[23])/3 - (277*s[24])/27 + (4771*s[25])/486 - (3673*s[26])/486 - 
       s[44]/2 - 2*s[45] + 10*s[46] + s[47]/6 + s[48]/6 - s[49]/6 - 8*s[50] - 
       s[51]/6 - s[52]/6 + (20*s[53])/3 - 4*s[54] + (287*s[55])/6 + 
       (27*s[56])/2 + (55*s[57])/3 + (61*s[58])/6 - (21*s[59])/2 - 
       (2909*s[60])/36 + (1105*s[61])/162) + A5[u, v, w]*HPL[{1}, 1 - w]*
      ((-3*s[4])/2 - s[5] - (5*s[6])/2 - (247*s[7])/12 + (41*s[8])/18 + 
       (151*s[9])/9 + (47*s[10])/9 + (251*s[11])/12 + (64*s[12])/3 + 
       (145*s[13])/12 + (35*s[14])/12 + (391*s[15])/12 + (215*s[16])/6 + 
       (127*s[17])/4 + (86*s[18])/27 + (191*s[19])/54 + (2191*s[20])/54 + 
       (1589*s[21])/108 - (1105*s[22])/108 - (139*s[23])/6 - 
       (1235*s[24])/54 + (6581*s[25])/243 - (3737*s[26])/243 + (3*s[39])/2 - 
       (3*s[40])/2 + (3*s[41])/2 - (5*s[42])/2 - (3*s[43])/2 + (5*s[44])/4 - 
       (7*s[45])/2 + 23*s[46] - (7*s[47])/12 + (11*s[48])/12 + 
       (73*s[49])/12 - 18*s[50] - (17*s[51])/12 - (11*s[52])/12 + 
       (47*s[53])/3 - 4*s[54] + (399*s[55])/4 + (101*s[56])/4 + 11*s[57] + 
       (1013*s[58])/36 - (1169*s[59])/36 - (12985*s[60])/72 + 
       (2045*s[61])/162) + A10[v, w, u]*HPL[{1}, 1 - u]*
      (-8*s[4] - 58*s[7] + (40*s[8])/3 + (136*s[9])/3 + (32*s[10])/3 + 
       60*s[11] + 72*s[12] + 32*s[13] - 20*s[14] + 80*s[15] + 98*s[16] + 
       64*s[17] + (140*s[18])/9 + (28*s[19])/9 + (920*s[20])/9 + 
       (320*s[21])/9 - (268*s[22])/9 - 158*s[23] - (340*s[24])/9 + 
       (6656*s[25])/81 - (3380*s[26])/81 + 2*s[38] + 8*s[39] - 8*s[40] + 
       8*s[41] - 16*s[42] + 6*s[44] - 8*s[45] + 64*s[46] - 8*s[47] + 
       16*s[48] + 10*s[49] - 56*s[50] + 2*s[52] + 40*s[53] + (728*s[55])/3 + 
       70*s[56] - 126*s[57] + (398*s[58])/3 - (374*s[59])/3 - 
       (1253*s[60])/3 + (367*s[61])/9) + C25[u, v, w]*
      ((-15*s[4])/2 - (213*s[5])/22 - (201*s[6])/11 - (21713*s[7])/132 + 
       (1252*s[8])/99 + (2557*s[9])/18 + (737*s[10])/18 + (24305*s[11])/132 + 
       (6757*s[12])/33 + (5457*s[13])/44 + (3089*s[14])/132 + 
       (2509*s[15])/12 + (5969*s[16])/22 + (26473*s[17])/132 + 
       (1751*s[18])/54 + (1189*s[19])/54 + (195133*s[20])/594 + 
       (148409*s[21])/1188 - (103303*s[22])/1188 - (2016*s[23])/11 - 
       (53473*s[24])/297 + (2475353*s[25])/10692 - (1406873*s[26])/10692 + 
       s[33] - s[37] - 8*s[38] + 26*s[39] - 28*s[40] + 20*s[41] - 35*s[42] - 
       (254*s[43])/11 + (248*s[44])/11 - (268*s[45])/11 + (2010*s[46])/11 - 
       (103*s[47])/11 - (37*s[48])/11 + (1112*s[49])/11 - (1454*s[50])/11 - 
       (258*s[51])/11 - (237*s[52])/11 + (994*s[53])/11 - (82*s[54])/11 + 
       (19124*s[55])/33 + (1744*s[56])/11 - (2391*s[57])/11 + 
       (3331*s[58])/11 - (3323*s[59])/11 - (48940*s[60])/33 + 
       (7691*s[61])/99) + C18[v, w, u]*s[62] + 
     C11[u, w, v]*(s[18] - s[23] - s[57] + 2*s[63]) + C17[v, w, u]*s[64] + 
     C16[v, w, u]*s[66] + C14[u, w, v]*(2*s[6] + 2*s[7] - s[9] - s[10] - 
       2*s[11] - 2*s[12] - 2*s[13] - 2*s[14] - 2*s[16] - s[17] - 
       (5*s[18])/3 + (5*s[19])/3 - (8*s[20])/3 - (5*s[21])/3 + (2*s[22])/3 - 
       s[24] - (41*s[25])/18 + (35*s[26])/18 - s[46] - 2*s[56] + s[57] - 
       2*s[58] - (2*s[60])/3 - (3*s[61])/2 + s[68]) + 
     C13[w, v, u]*(-s[14] - s[56] - 2*s[60] - (2*s[61])/3 + s[69]) + 
     C19[v, w, u]*(-s[19] - (2*s[24])/3 - s[25]/3 + s[26]/3 + s[45] + s[56] + 
       2*s[57] - (4*s[58])/3 + (4*s[59])/3 - (8*s[60])/3 - s[61]/9 - s[66] + 
       s[69]) + C21[u, v, w]*s[70] + C23[u, v, w]*s[77] + 
     C15[v, w, u]*((-3*s[39])/2 + (3*s[40])/2 - (3*s[41])/2 + (5*s[42])/2 + 
       (3*s[43])/2 - (5*s[44])/4 - (3*s[45])/2 + (7*s[47])/12 - 
       (11*s[48])/12 - (73*s[49])/12 + (17*s[51])/12 + (11*s[52])/12 + 
       (41*s[55])/4 + (73*s[56])/12 + (89*s[57])/9 + (29*s[58])/108 + 
       (115*s[59])/108 + (13*s[60])/72 + (848*s[61])/243 + 2*s[78]) + 
     F1[w, u, v]*HPL[{0, 0, 1}, 1 - w]*((17*s[2])/2 + 19*s[3] + 
       (279*s[4])/2 + (9639*s[5])/88 + (23099*s[6])/88 + (219647*s[7])/99 - 
       (403339*s[8])/2376 - (403535*s[9])/216 - (118069*s[10])/216 - 
       (978793*s[11])/396 - (2159539*s[12])/792 - (1320409*s[13])/792 - 
       (190757*s[14])/792 - (207683*s[15])/72 - (2934487*s[16])/792 - 
       (737279*s[17])/264 - (279895*s[18])/648 - (24436*s[19])/81 - 
       (15489583*s[20])/3564 - (2883875*s[21])/1782 + (8279155*s[22])/7128 + 
       (2175131*s[23])/792 + (16833661*s[24])/7128 - (404249653*s[25])/
        128304 + (223437277*s[26])/128304 + 4*s[31] - s[32]/2 + (7*s[33])/2 - 
       6*s[34] + 2*s[35] - (29*s[36])/6 + (133*s[37])/12 + (181*s[38])/2 - 
       (2795*s[39])/8 + (9125*s[40])/24 - (2253*s[41])/8 + (11995*s[42])/24 + 
       (6677*s[43])/24 - (14425*s[44])/48 + (6745*s[45])/24 - 
       (9373*s[46])/4 + (21731*s[47])/144 - (2635*s[48])/144 - 
       (183233*s[49])/144 + (20785*s[50])/12 + (49033*s[51])/144 + 
       (41719*s[52])/144 - (3554*s[53])/3 + (395*s[54])/4 - 
       (355231*s[55])/48 - (292231*s[56])/144 + (85387*s[57])/27 - 
       (5112131*s[58])/1296 + (5093519*s[59])/1296 + (16065485*s[60])/864 - 
       (2872481*s[61])/2916 - s[65]/2 + 2*s[67] + 2*s[68] + 2*s[69] + s[70] + 
       s[71]/2 + 2*s[72] - 2*s[73] - (3*s[74])/2 + (3*s[75])/2 - 2*s[76] - 
       4*s[77] + 2*s[78] + 16*s[79] - (35*s[80])/6) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      ((-3*s[2])/4 + (89*s[4])/8 - (49*s[5])/4 - (19*s[6])/8 - 
       (785*s[7])/16 - (1105*s[8])/216 + (11549*s[9])/216 + 
       (2825*s[10])/108 + (7355*s[11])/144 + (2897*s[12])/72 + 
       (2387*s[13])/144 + (6641*s[14])/144 + (12773*s[15])/144 + 
       (6865*s[16])/72 + (14921*s[17])/144 + (2371*s[18])/162 + 
       (5765*s[19])/648 + (98839*s[20])/648 + (105431*s[21])/1296 - 
       (35911*s[22])/1296 + (1129*s[23])/18 - (11243*s[24])/162 + 
       (54163*s[25])/1458 - (36212*s[26])/729 - s[31]/2 - s[33]/8 + 3*s[36] + 
       (17*s[37])/12 - 5*s[38] + (13*s[39])/4 + (5*s[40])/4 - (13*s[41])/4 + 
       3*s[42] - (35*s[43])/4 + (9*s[44])/8 - (173*s[45])/12 + 
       (146*s[46])/3 + (25*s[47])/8 - (73*s[48])/8 + (365*s[49])/8 - 
       (149*s[50])/4 + (45*s[51])/8 + (13*s[52])/8 + (1009*s[53])/36 + 
       (265*s[54])/6 + (4717*s[55])/24 + (541*s[56])/72 + (16403*s[57])/216 + 
       (33929*s[58])/648 - (42677*s[59])/648 - (68483*s[60])/144 + 
       (118703*s[61])/5832 - s[68]/2 - s[69]/2 + s[76]/2 - s[77]/2 + s[78] + 
       11*s[79] - (17*s[80])/3) + H1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      ((5*s[2])/2 + (87*s[4])/2 + (2081*s[5])/88 + (6119*s[6])/88 + 
       (86233*s[7])/132 - (13973*s[8])/264 - (13345*s[9])/24 - 
       (3869*s[10])/24 - (32079*s[11])/44 - (71699*s[12])/88 - 
       (132625*s[13])/264 - (4277*s[14])/88 - (6751*s[15])/8 - 
       (285631*s[16])/264 - (206843*s[17])/264 - (2641*s[18])/24 - 
       (595*s[19])/6 - (83597*s[20])/66 - (175993*s[21])/396 + 
       (275453*s[22])/792 + (210329*s[23])/264 + (567839*s[24])/792 - 
       (13518991*s[25])/14256 + (7143247*s[26])/14256 + s[31] + (3*s[33])/4 - 
       s[34] + s[35] - (7*s[36])/2 + (19*s[37])/4 + 29*s[38] - 
       (205*s[39])/2 + 116*s[40] - 88*s[41] + (575*s[42])/4 + 
       (2027*s[43])/22 - (4205*s[44])/44 + (952*s[45])/11 - 
       (15919*s[46])/22 + (4043*s[47])/132 + (1997*s[48])/132 - 
       (26695*s[49])/66 + (12095*s[50])/22 + (3229*s[51])/33 + 
       (2689*s[52])/33 - (12118*s[53])/33 + (222*s[54])/11 - 
       (154667*s[55])/66 - (13625*s[56])/22 + (55003*s[57])/66 - 
       (465335*s[58])/396 + (469985*s[59])/396 + (593614*s[60])/99 - 
       (113345*s[61])/396 - s[76] + s[77]/2 - s[78] + 15*s[79] - 4*s[80]) + 
     F1[u, v, w]*HPL[{0, 0, 1}, 1 - u]*(4*s[2] + 10*s[3] + (135*s[4])/4 + 
       (8443*s[5])/88 + (14309*s[6])/88 + (161701*s[7])/132 - 
       (39539*s[8])/792 - (77239*s[9])/72 - (24911*s[10])/72 - 
       (352879*s[11])/264 - (368597*s[12])/264 - (112351*s[13])/132 - 
       (45971*s[14])/132 - (39659*s[15])/24 - (68503*s[16])/33 - 
       (76059*s[17])/44 - (59069*s[18])/216 - (15797*s[19])/108 - 
       (1540183*s[20])/594 - (2540269*s[21])/2376 + (764575*s[22])/1188 + 
       (35576*s[23])/33 + (399529*s[24])/297 - (67897067*s[25])/42768 + 
       (42822239*s[26])/42768 - s[29] - s[30] + 2*s[31] + s[32]/2 + 
       (15*s[33])/4 - 4*s[34] + 3*s[35] + (17*s[36])/6 + (73*s[37])/12 + 
       45*s[38] - (1215*s[39])/8 + (3889*s[40])/24 - (931*s[41])/8 + 
       (4961*s[42])/24 + (3025*s[43])/24 - (6035*s[44])/48 + 
       (3349*s[45])/24 - (12433*s[46])/12 + (9589*s[47])/144 + 
       (151*s[48])/144 - (79351*s[49])/144 + (4429*s[50])/6 + 
       (20567*s[51])/144 + (18761*s[52])/144 - (18197*s[53])/36 + 
       (463*s[54])/6 - (154925*s[55])/48 - (14537*s[56])/16 + 
       (50185*s[57])/36 - (762631*s[58])/432 + (745399*s[59])/432 + 
       (7071127*s[60])/864 - (24337*s[61])/54 + s[66] + 3*s[68] - 2*s[69] - 
       4*s[77] - (11*s[80])/6) + C27[w, u, v]*((7*s[2])/2 + (137*s[3])/4 + 
       (2295*s[4])/8 + (3603*s[5])/44 + (30587*s[6])/88 + (539879*s[7])/176 - 
       (912865*s[8])/2376 - (66139*s[9])/27 - (16508*s[10])/27 - 
       (5539621*s[11])/1584 - (404804*s[12])/99 - (3940447*s[13])/1584 + 
       (322175*s[14])/1584 - (539369*s[15])/144 - (1996171*s[16])/396 - 
       (5352883*s[17])/1584 - (44048*s[18])/81 - (297581*s[19])/648 - 
       (38968229*s[20])/7128 - (25811011*s[21])/14256 + 
       (22413035*s[22])/14256 + (1961183*s[23])/396 + (2796221*s[24])/891 - 
       (304431929*s[25])/64152 + (150058529*s[26])/64152 - 2*s[28] - 
       8*s[29] + 3*s[30] + s[32] - s[34] - 3*s[35] - (65*s[36])/3 + 
       (109*s[37])/6 + 153*s[38] - 625*s[39] + (1982*s[40])/3 - 
       (991*s[41])/2 + (2707*s[42])/3 + (15817*s[43])/33 - 
       (139355*s[44])/264 + (62981*s[45])/132 - (180569*s[46])/44 + 
       (227329*s[47])/792 - (68615*s[48])/792 - (1785331*s[49])/792 + 
       (100846*s[50])/33 + (468161*s[51])/792 + (395075*s[52])/792 - 
       (141463*s[53])/66 + (750*s[54])/11 - (1157961*s[55])/88 - 
       (2749757*s[56])/792 + (6358615*s[57])/1188 - (48563089*s[58])/7128 + 
       (49223167*s[59])/7128 + (153308371*s[60])/4752 - 
       (110931301*s[61])/64152 - 2*s[65] - 4*s[66] + 6*s[67] + 4*s[68] + 
       10*s[69] + 2*s[71] + 6*s[72] - 2*s[73] - (9*s[74])/2 + (9*s[75])/2 - 
       2*s[76] - 3*s[77] + 14*s[78] - (5*s[80])/3) + 
     A11[u, v, w]*HPL[{1}, 1 - w]*((-3*s[2])/2 + 9*s[3] + (389*s[4])/4 + 
       (254*s[5])/11 + (4703*s[6])/44 + (65491*s[7])/66 - (50519*s[8])/396 - 
       (7144*s[9])/9 - (1775*s[10])/9 - (298535*s[11])/264 - 
       (87277*s[12])/66 - (212149*s[13])/264 + (21859*s[14])/264 - 
       (3679*s[15])/3 - (432067*s[16])/264 - (96619*s[17])/88 - 
       (4460*s[18])/27 - (17257*s[19])/108 - (2091049*s[20])/1188 - 
       (1358255*s[21])/2376 + (1212895*s[22])/2376 + (426935*s[23])/264 + 
       (2442877*s[24])/2376 - (16508905*s[25])/10692 + (4018967*s[26])/5346 - 
       2*s[29] + s[30] - s[31] - s[33] - s[35] - 6*s[36] + (31*s[37])/6 + 
       (95*s[38])/2 - 201*s[39] + 213*s[40] - (651*s[41])/4 + 
       (1171*s[42])/4 + 153*s[43] - (1363*s[44])/8 + (445*s[45])/3 - 
       (7841*s[46])/6 + (737*s[47])/8 - (243*s[48])/8 - (5775*s[49])/8 + 
       (3925*s[50])/4 + (4673*s[51])/24 + (1269*s[52])/8 - (24821*s[53])/36 + 
       (323*s[54])/12 - (33721*s[55])/8 - (79721*s[56])/72 + 
       (46210*s[57])/27 - (1403245*s[58])/648 + (1429003*s[59])/648 + 
       (1480891*s[60])/144 - (792715*s[61])/1458 - s[65]/2 - 2*s[66] + 
       2*s[67] + 2*s[68] + 4*s[69] + s[71]/2 + 2*s[72] - 2*s[73] - 
       (3*s[74])/2 + (3*s[75])/2 - s[77] + 6*s[78] + 4*s[79] - (5*s[80])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*J1[w, u, v]*((-5*s[2])/8 - (7*s[4])/8 - 
       (4017*s[5])/352 - (4887*s[6])/352 - (67225*s[7])/528 + 
       (83341*s[8])/9504 + (96449*s[9])/864 + (27589*s[10])/864 + 
       (224647*s[11])/1584 + (493051*s[12])/3168 + (290339*s[13])/3168 + 
       (100973*s[14])/3168 + (46471*s[15])/288 + (664877*s[16])/3168 + 
       (510353*s[17])/3168 + (74443*s[18])/2592 + (8885*s[19])/648 + 
       (1909871*s[20])/7128 + (1555249*s[21])/14256 - (1916053*s[22])/28512 - 
       (392155*s[23])/3168 - (3973063*s[24])/28512 + 
       (87434167*s[25])/513216 - (53882167*s[26])/513216 - s[31]/4 + 
       (9*s[33])/16 + s[34]/4 + (3*s[35])/4 - s[36]/8 - (25*s[37])/48 - 
       (25*s[38])/4 + (161*s[39])/8 - (41*s[40])/2 + (27*s[41])/2 - 
       (423*s[42])/16 - (1631*s[43])/88 + (2841*s[44])/176 - (703*s[45])/33 + 
       (37505*s[46])/264 - (1685*s[47])/176 - (211*s[48])/176 + 
       (6999*s[49])/88 - (8487*s[50])/88 - (557*s[51])/33 - (395*s[52])/22 + 
       (13975*s[53])/198 - (685*s[54])/66 + (39155*s[55])/88 + 
       (96863*s[56])/792 - (383465*s[57])/2376 + (3365963*s[58])/14256 - 
       (3338909*s[59])/14256 - (896927*s[60])/792 + (8411825*s[61])/128304 + 
       s[76]/4 - s[77]/8 - (7*s[78])/4 + (17*s[79])/4 - (5*s[80])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      (-11*s[3] - (301*s[4])/4 - (771*s[5])/44 - (2099*s[6])/22 - 
       (97783*s[7])/132 + (62869*s[8])/594 + (62671*s[9])/108 + 
       (13145*s[10])/108 + (677753*s[11])/792 + (405635*s[12])/396 + 
       (493949*s[13])/792 - (67855*s[14])/792 + (15307*s[15])/18 + 
       (942737*s[16])/792 + (592193*s[17])/792 + (48641*s[18])/324 + 
       (26515*s[19])/324 + (4516141*s[20])/3564 + (2970281*s[21])/7128 - 
       (2669179*s[22])/7128 - (1081921*s[23])/792 - (5016259*s[24])/7128 + 
       (75587477*s[25])/64152 - (36718835*s[26])/64152 + 3*s[29] - s[30] - 
       s[33]/2 + s[34] + s[35] + (14*s[36])/3 - (25*s[37])/6 - (73*s[38])/2 + 
       166*s[39] - (515*s[40])/3 + (507*s[41])/4 - (2929*s[42])/12 - 
       (3688*s[43])/33 + (34475*s[44])/264 - (3851*s[45])/33 + 
       (22445*s[46])/22 - (73207*s[47])/792 + (37013*s[48])/792 + 
       (421933*s[49])/792 - (95779*s[50])/132 - (128741*s[51])/792 - 
       (109079*s[52])/792 + (68699*s[53])/132 - (3199*s[54])/44 + 
       (826445*s[55])/264 + (720767*s[56])/792 - (497671*s[57])/297 + 
       (12763027*s[58])/7128 - (12597661*s[59])/7128 - 
       (35963863*s[60])/4752 + (7279057*s[61])/16038 + s[65]/2 + 2*s[66] - 
       2*s[67] - 2*s[68] - 4*s[69] + s[70] - s[71]/2 - 2*s[72] + 2*s[73] + 
       (3*s[74])/2 - (3*s[75])/2 + 2*s[76] - s[77] - 8*s[78] + 6*s[79] - 
       (4*s[80])/3) + C21[v, w, u]*((-9*s[5])/2 - (3*s[6])/2 - (139*s[7])/3 - 
       (5*s[8])/54 + (2461*s[9])/54 + (941*s[10])/54 + (442*s[11])/9 + 
       (871*s[12])/18 + (437*s[13])/18 + (305*s[14])/18 + (1265*s[15])/18 + 
       (1457*s[16])/18 + (1283*s[17])/18 + (1985*s[18])/162 + 
       (500*s[19])/81 + (9307*s[20])/81 + (3922*s[21])/81 - 
       (4231*s[22])/162 - (631*s[23])/18 - (8017*s[24])/162 + 
       (155329*s[25])/2916 - (112489*s[26])/2916 + (2*s[36])/3 - s[37]/3 - 
       2*s[38] + (13*s[39])/2 - (43*s[40])/6 + (11*s[41])/2 - (53*s[42])/6 - 
       (43*s[43])/6 + (77*s[44])/12 - (43*s[45])/6 + (145*s[46])/3 - 
       (31*s[47])/36 - (61*s[48])/36 + (1141*s[49])/36 - (113*s[50])/3 - 
       (185*s[51])/36 - (167*s[52])/36 + (236*s[53])/9 + (4*s[54])/3 + 
       (2027*s[55])/12 + (365*s[56])/12 - (35*s[57])/3 + (7265*s[58])/108 - 
       (8069*s[59])/108 - (94381*s[60])/216 + (6269*s[61])/486 - 
       (2*s[80])/3) + C23[v, w, u]*((-3*s[4])/2 - (7*s[5])/2 - 2*s[6] - 
       (575*s[7])/12 + (23*s[8])/27 + (2431*s[9])/54 + (863*s[10])/54 + 
       (1909*s[11])/36 + (1003*s[12])/18 + (1129*s[13])/36 + (391*s[14])/36 + 
       (2455*s[15])/36 + (745*s[16])/9 + (2377*s[17])/36 + (1601*s[18])/162 + 
       (1393*s[19])/162 + (17699*s[20])/162 + (14011*s[21])/324 - 
       (8717*s[22])/324 - (344*s[23])/9 - (4529*s[24])/81 + 
       (181093*s[25])/2916 - (113197*s[26])/2916 + (2*s[36])/3 - s[37]/3 - 
       3*s[38] + 8*s[39] - (26*s[40])/3 + 7*s[41] - (31*s[42])/3 - 
       (26*s[43])/3 + (23*s[44])/3 - (20*s[45])/3 + (154*s[46])/3 - 
       (13*s[47])/9 - (25*s[48])/9 + (358*s[49])/9 - (125*s[50])/3 - 
       (62*s[51])/9 - (50*s[52])/9 + (233*s[53])/9 + (28*s[54])/3 + 
       (499*s[55])/3 + (83*s[56])/3 - (104*s[57])/3 + (2027*s[58])/27 - 
       (2210*s[59])/27 - (12824*s[60])/27 + (6491*s[61])/486 - (2*s[80])/3) + 
     C19[w, u, v]*((-3*s[2])/2 - (3*s[5])/4 - (5*s[6])/4 - (37*s[7])/6 - 
       (5*s[8])/108 + (733*s[9])/108 - (31*s[10])/108 + (263*s[11])/36 + 
       (277*s[12])/36 + (44*s[13])/9 + (38*s[14])/9 + (293*s[15])/36 + 
       (101*s[16])/9 + (71*s[17])/9 + (905*s[18])/324 - (290*s[19])/81 + 
       (2935*s[20])/162 + (2039*s[21])/324 - (349*s[22])/81 - (43*s[23])/9 - 
       (917*s[24])/162 + (49759*s[25])/5832 - (26359*s[26])/5832 - s[31] - 
       (3*s[33])/2 - (2*s[36])/3 - s[37]/6 + (3*s[39])/4 - (13*s[40])/12 + 
       (3*s[41])/4 - (17*s[42])/12 - s[43]/12 + (23*s[44])/24 - 
       (25*s[45])/12 + (43*s[46])/6 - (85*s[47])/72 + (65*s[48])/72 + 
       (115*s[49])/72 - (23*s[50])/6 - (71*s[51])/72 - (5*s[52])/72 + 
       (83*s[53])/18 - (4*s[54])/3 + (613*s[55])/24 + (179*s[56])/24 - 
       (23*s[57])/3 + (2291*s[58])/216 - (2339*s[59])/216 - 
       (20455*s[60])/432 + (2035*s[61])/486 + s[76] - s[80]/3) + 
     C16[u, v, w]*((2*s[36])/3 - s[37]/6 - (3*s[39])/4 + (13*s[40])/12 - 
       (3*s[41])/4 + (17*s[42])/12 + s[43]/12 - (23*s[44])/24 - 
       (13*s[45])/12 + (85*s[47])/72 - (65*s[48])/72 - (115*s[49])/72 + 
       (11*s[50])/6 + (71*s[51])/72 + (5*s[52])/72 + (67*s[55])/24 + 
       (295*s[56])/72 + (160*s[57])/27 + (323*s[58])/648 + (145*s[59])/648 + 
       (739*s[60])/432 + (5821*s[61])/2916 + 2*s[79] - s[80]/3) + 
     C16[w, u, v]*(s[1] + (3*s[2])/2 + (3*s[5])/4 + (5*s[6])/4 + 
       (37*s[7])/6 + (5*s[8])/108 - (733*s[9])/108 + (31*s[10])/108 - 
       (263*s[11])/36 - (277*s[12])/36 - (44*s[13])/9 - (38*s[14])/9 - 
       (293*s[15])/36 - (101*s[16])/9 - (71*s[17])/9 - (905*s[18])/324 + 
       (290*s[19])/81 - (2935*s[20])/162 - (2039*s[21])/324 + 
       (349*s[22])/81 + (43*s[23])/9 + (917*s[24])/162 - (49759*s[25])/5832 + 
       (26359*s[26])/5832 + s[31] + (3*s[33])/2 + (2*s[36])/3 + s[37]/6 - 
       (3*s[39])/4 + (13*s[40])/12 - (3*s[41])/4 + (17*s[42])/12 + s[43]/12 - 
       (23*s[44])/24 + (13*s[45])/12 - (43*s[46])/6 + (85*s[47])/72 - 
       (65*s[48])/72 - (115*s[49])/72 + (23*s[50])/6 + (71*s[51])/72 + 
       (5*s[52])/72 - (83*s[53])/18 + (4*s[54])/3 - (613*s[55])/24 - 
       (179*s[56])/24 + (29*s[57])/3 - (2435*s[58])/216 + (2483*s[59])/216 + 
       (19447*s[60])/432 - (2125*s[61])/486 - s[76] + s[80]/3) + 
     C19[u, v, w]*((-2*s[21])/3 - (2*s[24])/3 + s[25]/3 + s[26]/3 - 
       (2*s[36])/3 + s[37]/6 + (3*s[39])/4 - (13*s[40])/12 + (3*s[41])/4 - 
       (17*s[42])/12 - s[43]/12 + (23*s[44])/24 + (13*s[45])/12 - 
       (85*s[47])/72 + (65*s[48])/72 + (115*s[49])/72 - (11*s[50])/6 - 
       (71*s[51])/72 - (5*s[52])/72 - (67*s[55])/24 - (295*s[56])/72 - 
       (160*s[57])/27 - (1187*s[58])/648 + (719*s[59])/648 - 
       (1027*s[60])/432 - (2257*s[61])/2916 - 2*s[79] + s[80]/3) + 
     C12[v, w, u]*s[80] + C25[v, w, u]*(8*s[4] + 9*s[5] + 13*s[6] + 
       (493*s[7])/3 - (271*s[8])/27 - (3871*s[9])/27 - (1313*s[10])/27 - 
       (1616*s[11])/9 - (1723*s[12])/9 - (1019*s[13])/9 - (227*s[14])/9 - 
       (2108*s[15])/9 - (2552*s[16])/9 - (2039*s[17])/9 - (2051*s[18])/81 - 
       (2698*s[19])/81 - (27680*s[20])/81 - (10142*s[21])/81 + 
       (7135*s[22])/81 + (1300*s[23])/9 + (15898*s[24])/81 - 
       (327793*s[25])/1458 + (184405*s[26])/1458 - (4*s[36])/3 + 
       (2*s[37])/3 + 8*s[38] - 23*s[39] + (73*s[40])/3 - 19*s[41] + 
       (89*s[42])/3 + (73*s[43])/3 - (131*s[44])/6 + (73*s[45])/3 - 
       (542*s[46])/3 + (61*s[47])/18 + (127*s[48])/18 - (2017*s[49])/18 + 
       (439*s[50])/3 + (335*s[51])/18 + (281*s[52])/18 - (898*s[53])/9 - 
       (68*s[54])/3 - (3841*s[55])/6 - (791*s[56])/6 + 81*s[57] - 
       (13847*s[58])/54 + (15119*s[59])/54 + (172207*s[60])/108 - 
       (16295*s[61])/243 + (4*s[80])/3) + C25[w, u, v]*
      ((-25*s[4])/2 - (68*s[5])/11 - (413*s[6])/22 - (23231*s[7])/132 + 
       (8821*s[8])/594 + (4012*s[9])/27 + (1145*s[10])/27 + 
       (78481*s[11])/396 + (44293*s[12])/198 + (54877*s[13])/396 + 
       (4207*s[14])/396 + (8027*s[15])/36 + (28681*s[16])/99 + 
       (81487*s[17])/396 + (2369*s[18])/81 + (4481*s[19])/162 + 
       (600953*s[20])/1782 + (421225*s[21])/3564 - (333581*s[22])/3564 - 
       (43141*s[23])/198 - (345775*s[24])/1782 + (2073520*s[25])/8019 - 
       (1089406*s[26])/8019 - (4*s[37])/3 - 8*s[38] + 29*s[39] - 33*s[40] + 
       25*s[41] - 41*s[42] - (287*s[43])/11 + (595*s[44])/22 - 
       (760*s[45])/33 + (6547*s[46])/33 - (607*s[47])/66 - (277*s[48])/66 + 
       (7585*s[49])/66 - (1652*s[50])/11 - (615*s[51])/22 - (1565*s[52])/66 + 
       (9782*s[53])/99 - (158*s[54])/33 + (41537*s[55])/66 + 
       (33053*s[56])/198 - (73027*s[57])/297 + (582115*s[58])/1782 - 
       (584977*s[59])/1782 - (650123*s[60])/396 + (1246195*s[61])/16038 - 
       4*s[79] + (4*s[80])/3) + H1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      ((5*s[2])/2 + (47*s[4])/2 + (3049*s[5])/88 + (5503*s[6])/88 + 
       (76729*s[7])/132 - (104549*s[8])/2376 - (108277*s[9])/216 - 
       (31205*s[10])/216 - (256679*s[11])/396 - (569171*s[12])/792 - 
       (344107*s[13])/792 - (69733*s[14])/792 - (53615*s[15])/72 - 
       (760885*s[16])/792 - (565441*s[17])/792 - (72875*s[18])/648 - 
       (12475*s[19])/162 - (2083495*s[20])/1782 - (1569593*s[21])/3564 + 
       (2197565*s[22])/7128 + (511571*s[23])/792 + (4541807*s[24])/7128 - 
       (104552543*s[25])/128304 + (59085695*s[26])/128304 + s[31] - 
       (3*s[33])/4 - s[34] + s[35] - (7*s[36])/2 + (41*s[37])/12 + 27*s[38] - 
       (183*s[39])/2 + 99*s[40] - 71*s[41] + (499*s[42])/4 + 
       (1829*s[43])/22 - (3523*s[44])/44 + (2834*s[45])/33 - 
       (42631*s[46])/66 + (4549*s[47])/132 + (1315*s[48])/132 - 
       (11923*s[49])/33 + (10291*s[50])/22 + (1819*s[51])/22 + 
       (5059*s[52])/66 - (32152*s[53])/99 + (1018*s[54])/33 - 
       (68033*s[55])/33 - (54872*s[56])/99 + (219623*s[57])/297 - 
       (3776989*s[58])/3564 + (3784387*s[59])/3564 + (2084155*s[60])/396 - 
       (8865289*s[61])/32076 - s[76] + s[77]/2 + 3*s[78] - s[79] + 
       (4*s[80])/3) + A11[u, v, w]*HPL[{1}, 1 - u]*((3*s[2])/2 - 9*s[3] - 
       (389*s[4])/4 - (254*s[5])/11 - (4703*s[6])/44 - (65491*s[7])/66 + 
       (50519*s[8])/396 + (7144*s[9])/9 + (1775*s[10])/9 + 
       (298535*s[11])/264 + (87277*s[12])/66 + (212149*s[13])/264 - 
       (21859*s[14])/264 + (3679*s[15])/3 + (432067*s[16])/264 + 
       (96619*s[17])/88 + (4460*s[18])/27 + (17257*s[19])/108 + 
       (2091049*s[20])/1188 + (1358255*s[21])/2376 - (1212895*s[22])/2376 - 
       (426935*s[23])/264 - (2442877*s[24])/2376 + (16508905*s[25])/10692 - 
       (4018967*s[26])/5346 + 2*s[29] - s[30] + s[31] + s[33] + s[35] + 
       6*s[36] - (31*s[37])/6 - (95*s[38])/2 + 201*s[39] - 213*s[40] + 
       (651*s[41])/4 - (1171*s[42])/4 - 153*s[43] + (1363*s[44])/8 - 
       (445*s[45])/3 + (7841*s[46])/6 - (737*s[47])/8 + (243*s[48])/8 + 
       (5775*s[49])/8 - (3925*s[50])/4 - (4673*s[51])/24 - (1269*s[52])/8 + 
       (24821*s[53])/36 - (323*s[54])/12 + (33721*s[55])/8 + 
       (79721*s[56])/72 - (46210*s[57])/27 + (1403245*s[58])/648 - 
       (1429003*s[59])/648 - (1480891*s[60])/144 + (792715*s[61])/1458 + 
       s[65]/2 + 2*s[66] - 2*s[67] - 2*s[68] - 4*s[69] - s[71]/2 - 2*s[72] + 
       2*s[73] + (3*s[74])/2 - (3*s[75])/2 + s[77] - 6*s[78] - 4*s[79] + 
       (5*s[80])/3) + HPL[{0, 0, 0, 1}, 1 - u]*Phi6[u, v, w]*
      (-14*s[2] + 26*s[3] + (193*s[4])/4 - (18751*s[5])/88 - 
       (22137*s[6])/88 - (82171*s[7])/44 - (26839*s[8])/2376 + 
       (378949*s[9])/216 + (138425*s[10])/216 + (1548769*s[11])/792 + 
       (1463279*s[12])/792 + (437267*s[13])/396 + (387053*s[14])/396 + 
       (196025*s[15])/72 + (643597*s[16])/198 + (1215305*s[17])/396 + 
       (293675*s[18])/648 + (54077*s[19])/324 + (3909371*s[20])/891 + 
       (14173543*s[21])/7128 - (3635911*s[22])/3564 - (67690*s[23])/99 - 
       (3762701*s[24])/1782 + (264582689*s[25])/128304 - 
       (201469613*s[26])/128304 - s[29] + 3*s[30] - 8*s[31] + s[32]/2 - 
       (21*s[33])/4 + 12*s[34] - 3*s[35] - (17*s[36])/6 - (73*s[37])/12 - 
       45*s[38] + (1215*s[39])/8 - (3889*s[40])/24 + (931*s[41])/8 - 
       (4961*s[42])/24 - (3025*s[43])/24 + (6035*s[44])/48 - 
       (3349*s[45])/24 + (12433*s[46])/12 - (9589*s[47])/144 - 
       (151*s[48])/144 + (79351*s[49])/144 - (4429*s[50])/6 - 
       (20567*s[51])/144 - (18761*s[52])/144 + (18197*s[53])/36 - 
       (463*s[54])/6 + (154925*s[55])/48 + (14537*s[56])/16 - 
       (50185*s[57])/36 + (762631*s[58])/432 - (745399*s[59])/432 - 
       (7071127*s[60])/864 + (24337*s[61])/54 - s[66] - 3*s[68] + 2*s[69] + 
       4*s[77] + (11*s[80])/6) + C26[v, w, u]*(12*s[4] + (27*s[5])/2 + 
       (39*s[6])/2 + (493*s[7])/2 - (271*s[8])/18 - (3871*s[9])/18 - 
       (1313*s[10])/18 - (808*s[11])/3 - (1723*s[12])/6 - (1019*s[13])/6 - 
       (227*s[14])/6 - (1054*s[15])/3 - (1276*s[16])/3 - (2039*s[17])/6 - 
       (2051*s[18])/54 - (1349*s[19])/27 - (13840*s[20])/27 - 
       (5089*s[21])/27 + (7135*s[22])/54 + (641*s[23])/3 + (7940*s[24])/27 - 
       (327469*s[25])/972 + (184729*s[26])/972 - 2*s[36] + s[37] + 12*s[38] - 
       (69*s[39])/2 + (73*s[40])/2 - (57*s[41])/2 + (89*s[42])/2 + 
       (73*s[43])/2 - (131*s[44])/4 + (73*s[45])/2 - 271*s[46] + 
       (61*s[47])/12 + (127*s[48])/12 - (2023*s[49])/12 + 220*s[50] + 
       (335*s[51])/12 + (281*s[52])/12 - (449*s[53])/3 - 36*s[54] - 
       (3841*s[55])/4 - (787*s[56])/4 + 127*s[57] - (13919*s[58])/36 + 
       (15191*s[59])/36 + (171967*s[60])/72 - (8185*s[61])/81 + 2*s[80]) + 
     C15[w, v, u]*(3*s[2] - 2*s[5] + (7*s[8])/3 - (5*s[9])/3 + (5*s[10])/3 - 
       s[12] - 3*s[13] + 3*s[15] + 3*s[16] + 10*s[17] + (2*s[18])/9 + 
       (58*s[19])/9 - (28*s[20])/9 + (59*s[21])/9 + (20*s[22])/9 - 4*s[23] - 
       (28*s[24])/9 - (479*s[25])/162 - (907*s[26])/162 + 2*s[31] + 3*s[33] - 
       2*s[34] + 3*s[55] + (5*s[57])/3 + (14*s[58])/9 - (41*s[59])/9 + 
       6*s[60] + (319*s[61])/162 - 2*s[76] + 2*s[80]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      (-3*s[2] + 7*s[3] + (383*s[4])/4 + (2097*s[5])/44 + (2813*s[6])/22 + 
       (81029*s[7])/66 - (3057*s[8])/22 - (4005*s[9])/4 - (1121*s[10])/4 - 
       (121273*s[11])/88 - (68935*s[12])/44 - (247651*s[13])/264 + 
       (267*s[14])/88 - (19075*s[15])/12 - (542797*s[16])/264 - 
       (390911*s[17])/264 - (7547*s[18])/36 - (7483*s[19])/36 - 
       (907429*s[20])/396 - (634261*s[21])/792 + (167245*s[22])/264 + 
       (457025*s[23])/264 + (347219*s[24])/264 - (13005241*s[25])/7128 + 
       (6756451*s[26])/7128 - 3*s[29] + s[30] - 3*s[31] - 4*s[33] + s[34] - 
       s[35] - (25*s[36])/3 + 5*s[37] + (117*s[38])/2 - (445*s[39])/2 + 
       (1391*s[40])/6 - (701*s[41])/4 + (3773*s[42])/12 + (11995*s[43])/66 - 
       (50137*s[44])/264 + (2097*s[45])/11 - (51104*s[46])/33 + 
       (71333*s[47])/792 - (12883*s[48])/792 - (674195*s[49])/792 + 
       (154163*s[50])/132 + (160075*s[51])/792 + (133669*s[52])/792 - 
       (330967*s[53])/396 - (203*s[54])/132 - (1365811*s[55])/264 - 
       (1032017*s[56])/792 + (477820*s[57])/297 - (17568109*s[58])/7128 + 
       (18260947*s[59])/7128 + (59052905*s[60])/4752 - 
       (20936543*s[61])/32076 - s[65]/2 - s[66] + 2*s[67] + 3*s[68] + 
       3*s[69] + s[70] + s[71]/2 + 2*s[72] - 2*s[73] - (3*s[74])/2 + 
       (3*s[75])/2 + s[76] - s[77] + 4*s[78] - 6*s[79] + 2*s[80]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*J1[v, w, u]*((-5*s[2])/8 - 
       (127*s[4])/8 - (1113*s[5])/352 - (6735*s[6])/352 - (95737*s[7])/528 + 
       (146965*s[8])/9504 + (131933*s[9])/864 + (38437*s[10])/864 + 
       (320743*s[11])/1584 + (721411*s[12])/3168 + (451643*s[13])/3168 + 
       (7253*s[14])/3168 + (67903*s[15])/288 + (952901*s[16])/3168 + 
       (675617*s[17])/3168 + (69739*s[18])/2592 + (19655*s[19])/648 + 
       (2430743*s[20])/7128 + (1598281*s[21])/14256 - (2760589*s[22])/28512 - 
       (750403*s[23])/3168 - (5679295*s[24])/28512 + (138789295*s[25])/
        513216 - (69492751*s[26])/513216 - s[31]/4 - (9*s[33])/16 + s[34]/4 + 
       (3*s[35])/4 - s[36]/8 - (73*s[37])/48 - (31*s[38])/4 + (227*s[39])/8 - 
       (133*s[40])/4 + (105*s[41])/4 - (651*s[42])/16 - (2225*s[43])/88 + 
       (4887*s[44])/176 - (1439*s[45])/66 + (52883*s[46])/264 - 
       (1179*s[47])/176 - (893*s[48])/176 + (1231*s[49])/11 - 
       (13899*s[50])/88 - (7459*s[51])/264 - (1899*s[52])/88 + 
       (10139*s[53])/99 - (157*s[54])/66 + (14439*s[55])/22 + 
       (67753*s[56])/396 - (68851*s[57])/297 + (4599041*s[58])/14256 - 
       (4675343*s[59])/14256 - (2664757*s[60])/1584 + 
       (9482345*s[61])/128304 + s[76]/4 - s[77]/8 + (5*s[78])/4 - 
       (31*s[79])/4 + (7*s[80])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      J1[u, v, w]*((-25*s[2])/8 + (67*s[4])/8 + (3009*s[5])/352 + 
       (2979*s[6])/352 + (18571*s[7])/132 - (82273*s[8])/9504 - 
       (102341*s[9])/864 - (43081*s[10])/864 - (235855*s[11])/1584 - 
       (474523*s[12])/3168 - (273695*s[13])/3168 - (82853*s[14])/3168 - 
       (65257*s[15])/288 - (806543*s[16])/3168 - (723857*s[17])/3168 - 
       (34639*s[18])/2592 - (14377*s[19])/324 - (2117543*s[20])/7128 - 
       (1542715*s[21])/14256 + (2105245*s[22])/28512 + (280405*s[23])/3168 + 
       (5354917*s[24])/28512 - (94939459*s[25])/513216 + 
       (54330523*s[26])/513216 - (5*s[31])/4 - (9*s[33])/16 + (5*s[34])/4 - 
       (21*s[35])/4 - (15*s[36])/8 - (59*s[37])/48 + (25*s[38])/4 - 
       (229*s[39])/16 + (219*s[40])/16 - (195*s[41])/16 + 16*s[42] + 
       (3659*s[43])/176 - (5441*s[44])/352 + (11491*s[45])/528 - 
       (5032*s[46])/33 - (4529*s[47])/1056 + (11245*s[48])/1056 - 
       (102859*s[49])/1056 + (11645*s[50])/88 + (2589*s[51])/352 + 
       (4817*s[52])/1056 - (76279*s[53])/792 - (3601*s[54])/132 - 
       (220985*s[55])/352 - (325751*s[56])/3168 - (332383*s[57])/2376 - 
       (4569673*s[58])/28512 + (5977885*s[59])/28512 + (9362591*s[60])/6336 - 
       (6485315*s[61])/128304 + (5*s[76])/4 - (5*s[77])/8 + s[78]/4 - 
       (11*s[79])/4 + (29*s[80])/12) + C24[v, w, u]*(16*s[4] + 18*s[5] + 
       26*s[6] + (986*s[7])/3 - (542*s[8])/27 - (7742*s[9])/27 - 
       (2626*s[10])/27 - (3232*s[11])/9 - (3446*s[12])/9 - (2038*s[13])/9 - 
       (454*s[14])/9 - (4216*s[15])/9 - (5104*s[16])/9 - (4078*s[17])/9 - 
       (4102*s[18])/81 - (5396*s[19])/81 - (55360*s[20])/81 - 
       (20284*s[21])/81 + (14270*s[22])/81 + (2636*s[23])/9 + 
       (31688*s[24])/81 - (327793*s[25])/729 + (184405*s[26])/729 - 
       (8*s[36])/3 + (4*s[37])/3 + 16*s[38] - 46*s[39] + (146*s[40])/3 - 
       38*s[41] + (178*s[42])/3 + (146*s[43])/3 - (131*s[44])/3 + 
       (146*s[45])/3 - (1084*s[46])/3 + (61*s[47])/9 + (127*s[48])/9 - 
       (1999*s[49])/9 + (872*s[50])/3 + (335*s[51])/9 + (281*s[52])/9 - 
       (1796*s[53])/9 - (112*s[54])/3 - (3841*s[55])/3 - (803*s[56])/3 + 
       156*s[57] - (13847*s[58])/27 + (15119*s[59])/27 + (172279*s[60])/54 - 
       (32464*s[61])/243 + (8*s[80])/3) + HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*((15*s[2])/4 - (105*s[4])/8 + 
       (11*s[5])/8 - (9*s[6])/4 - (4837*s[7])/48 + (242*s[8])/27 + 
       (8951*s[9])/108 + (7451*s[10])/216 + (16633*s[11])/144 + 
       (2305*s[12])/18 + (11383*s[13])/144 - (2219*s[14])/144 + 
       (22069*s[15])/144 + (1654*s[16])/9 + (19861*s[17])/144 + 
       (611*s[18])/648 + (28627*s[19])/648 + (122117*s[20])/648 + 
       (75229*s[21])/1296 - (71519*s[22])/1296 - (7711*s[23])/72 - 
       (90463*s[24])/648 + (1837417*s[25])/11664 - (884353*s[26])/11664 + 
       (5*s[31])/2 + (19*s[33])/8 - 2*s[34] + 3*s[36] - (5*s[37])/3 - 
       7*s[38] + 19*s[39] - 23*s[40] + 21*s[41] - (51*s[42])/2 - 
       (43*s[43])/2 + (91*s[44])/4 - (109*s[45])/12 + (1429*s[46])/12 + 
       (17*s[47])/6 - (35*s[48])/3 + (1289*s[49])/12 - (483*s[50])/4 - 
       (91*s[51])/6 - (109*s[52])/12 + (2459*s[53])/36 + (341*s[54])/6 + 
       (1315*s[55])/3 + (875*s[56])/18 - (11615*s[57])/216 + 
       (13130*s[58])/81 - (63185*s[59])/324 - (43781*s[60])/36 + 
       (62765*s[61])/2916 - s[68]/2 - s[69]/2 - (5*s[76])/2 - s[77]/2 + 
       s[78] - 8*s[79] + (8*s[80])/3) + H1[u, v, w]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*((-15*s[2])/2 - (67*s[4])/2 - (2417*s[5])/88 - 
       (6755*s[6])/88 - (6990*s[7])/11 + (126113*s[8])/2376 + 
       (118141*s[9])/216 + (29657*s[10])/216 + (284975*s[11])/396 + 
       (651467*s[12])/792 + (403423*s[13])/792 + (44533*s[14])/792 + 
       (54497*s[15])/72 + (809671*s[16])/792 + (549361*s[17])/792 + 
       (84575*s[18])/648 + (4721*s[19])/81 + (2187895*s[20])/1782 + 
       (1588115*s[21])/3564 - (2416013*s[22])/7128 - (668237*s[23])/792 - 
       (4649933*s[24])/7128 + (119169155*s[25])/128304 - 
       (64139771*s[26])/128304 - 3*s[31] - (3*s[33])/4 + 3*s[34] - 7*s[35] + 
       (5*s[36])/6 - (23*s[37])/4 - 29*s[38] + (441*s[39])/4 - 
       (1501*s[40])/12 + (359*s[41])/4 - (473*s[42])/3 - (11765*s[43])/132 + 
       (25471*s[44])/264 - (3781*s[45])/44 + (23420*s[46])/33 - 
       (38897*s[47])/792 - (2003*s[48])/792 + (301469*s[49])/792 - 
       (33127*s[50])/66 - (87553*s[51])/792 - (78679*s[52])/792 + 
       (65915*s[53])/198 - (2323*s[54])/33 + (554303*s[55])/264 + 
       (511067*s[56])/792 - (733643*s[57])/594 + (9096781*s[58])/7128 - 
       (8693041*s[59])/7128 - (26306297*s[60])/4752 + (9850043*s[61])/32076 + 
       3*s[76] - (3*s[77])/2 - s[78] - 13*s[79] + 5*s[80]) + 
     C27[u, v, w]*((3*s[2])/2 - (79*s[3])/4 - (1877*s[4])/8 - 
       (2289*s[5])/44 - (23697*s[6])/88 - (418669*s[7])/176 + 
       (786175*s[8])/2376 + (50887*s[9])/27 + (11726*s[10])/27 + 
       (4313923*s[11])/1584 + (640051*s[12])/198 + (3104881*s[13])/1584 - 
       (384497*s[14])/1584 + (406403*s[15])/144 + (384082*s[16])/99 + 
       (3958597*s[17])/1584 + (70351*s[18])/162 + (205031*s[19])/648 + 
       (29517659*s[20])/7128 + (19171021*s[21])/14256 - 
       (17382797*s[22])/14256 - (412535*s[23])/99 - (8371553*s[24])/3564 + 
       (239438219*s[25])/64152 - (115840823*s[26])/64152 + 8*s[29] - 
       3*s[30] + 2*s[31] + s[34] + 3*s[35] + (58*s[36])/3 - (46*s[37])/3 - 
       117*s[38] + (2083*s[39])/4 - (6625*s[40])/12 + (1661*s[41])/4 - 
       (9221*s[42])/12 - (49967*s[43])/132 + (28747*s[44])/66 - 
       (12193*s[45])/33 + (146075*s[46])/44 - (25711*s[47])/99 + 
       (43709*s[48])/396 + (178300*s[49])/99 - (81287*s[50])/33 - 
       (199439*s[51])/396 - (166751*s[52])/396 + (57238*s[53])/33 - 
       (1554*s[54])/11 + (463459*s[55])/44 + (284180*s[56])/99 - 
       (5684177*s[57])/1188 + (5026102*s[58])/891 - (20233315*s[59])/3564 - 
       (7616720*s[60])/297 + (90511037*s[61])/64152 + s[64] + 2*s[65] + 
       4*s[66] - 6*s[67] - 6*s[68] - 10*s[69] - 2*s[71] - 6*s[72] + 6*s[73] + 
       (9*s[74])/2 - (9*s[75])/2 + 4*s[76] + 3*s[77] - 14*s[78] - 4*s[79] + 
       (16*s[80])/3) + HPL[{0, 0, 0, 1}, 1 - w]*Phi6[u, v, w]*
      ((-31*s[2])/2 - s[3] - (527*s[4])/2 - (22559*s[5])/88 - 
       (47979*s[6])/88 - (1912811*s[7])/396 + (865871*s[8])/2376 + 
       (890851*s[9])/216 + (266981*s[10])/216 + (2112083*s[11])/396 + 
       (4609607*s[12])/792 + (310241*s[13])/88 + (518437*s[14])/792 + 
       (153179*s[15])/24 + (2144071*s[16])/264 + (4957901*s[17])/792 + 
       (603407*s[18])/648 + (104545*s[19])/162 + (34271729*s[20])/3564 + 
       (3233441*s[21])/891 - (18221735*s[22])/7128 - (496845*s[23])/88 - 
       (36763655*s[24])/7128 + (861337745*s[25])/128304 - 
       (485253089*s[26])/128304 - 8*s[31] + (3*s[32])/2 - 6*s[33] + 
       14*s[34] + (113*s[36])/6 - (289*s[37])/12 - (363*s[38])/2 + 
       (5983*s[39])/8 - (19553*s[40])/24 + (4925*s[41])/8 - 
       (26179*s[42])/24 - (13889*s[43])/24 + (31105*s[44])/48 - 
       (13477*s[45])/24 + (19677*s[46])/4 - (47555*s[47])/144 + 
       (11587*s[48])/144 + (389633*s[49])/144 - (44551*s[50])/12 - 
       (105337*s[51])/144 - (87751*s[52])/144 + (15229*s[53])/6 - 
       (509*s[54])/4 + (754279*s[55])/48 + (606247*s[56])/144 - 
       (180244*s[57])/27 + (10696211*s[58])/1296 - (10761623*s[59])/1296 - 
       (33823253*s[60])/864 + (5941781*s[61])/2916 + (3*s[65])/2 + 2*s[66] - 
       6*s[67] - 2*s[68] - 8*s[69] - s[70] - (3*s[71])/2 - 6*s[72] + 
       6*s[73] + (9*s[74])/2 - (9*s[75])/2 + 4*s[76] + 8*s[77] - 10*s[78] - 
       44*s[79] + (95*s[80])/6) + C28[u, v, w]*s[81] + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*Phi6[u, v, w]*
      (-16*s[3] + (33*s[4])/2 - (1131*s[5])/22 - (3305*s[6])/44 - 
       (108175*s[7])/264 + (3467*s[8])/198 + (3245*s[9])/9 + 
       (4903*s[10])/36 + (56735*s[11])/132 + (111341*s[12])/264 + 
       (20107*s[13])/88 + (62647*s[14])/264 + (13481*s[15])/24 + 
       (31761*s[16])/44 + (89575*s[17])/132 + (14635*s[18])/108 + 
       (437*s[19])/27 + (1171529*s[20])/1188 + (1068433*s[21])/2376 - 
       (480863*s[22])/2376 - (19447*s[23])/88 - (1026941*s[24])/2376 + 
       (9781177*s[25])/21384 - (7789369*s[26])/21384 + s[32] + 6*s[33] + 
       (5*s[37])/2 - 2*s[38] + 11*s[39] - 8*s[40] - 5*s[41] - (13*s[42])/2 - 
       (236*s[43])/11 + (162*s[44])/11 - (1087*s[45])/11 + (4396*s[46])/11 - 
       (449*s[47])/132 - (4937*s[48])/132 + (10829*s[49])/132 - 
       (5399*s[50])/22 - (619*s[51])/132 - (917*s[52])/66 + (6946*s[53])/33 - 
       (663*s[54])/11 + (63895*s[55])/44 + (21185*s[56])/44 + 
       (453*s[57])/11 + (228187*s[58])/396 - (207277*s[59])/396 - 
       (2417051*s[60])/792 + (253343*s[61])/891 + 30*s[79] - 10*s[80] - 
       54*s[82]) + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*Phi6[u, v, w]*
      ((-9*s[3])/2 - (179*s[4])/4 + (499*s[5])/44 - (731*s[6])/44 - 
       (202205*s[7])/792 + (37423*s[8])/1188 + (10537*s[9])/54 + 
       (6241*s[10])/108 + (114677*s[11])/396 + (272555*s[12])/792 + 
       (162659*s[13])/792 - (34919*s[14])/792 + (24853*s[15])/72 + 
       (45340*s[16])/99 + (9862*s[17])/33 + (4303*s[18])/324 + 
       (22115*s[19])/324 + (1638647*s[20])/3564 + (555355*s[21])/7128 - 
       (998717*s[22])/7128 - (371065*s[23])/792 - (2129741*s[24])/7128 + 
       (6900511*s[25])/16038 - (4837769*s[26])/32076 - 6*s[33] - 
       (11*s[36])/3 - (22*s[37])/3 + 9*s[38] + (127*s[39])/4 - 
       (625*s[40])/12 + (173*s[41])/4 - (839*s[42])/12 - (1931*s[43])/132 + 
       (6449*s[44])/132 + (1363*s[45])/66 + (5725*s[46])/44 - 
       (3743*s[47])/198 + (2843*s[48])/396 + (10240*s[49])/99 - 
       (8575*s[50])/66 - (17855*s[51])/396 - (3079*s[52])/198 + 
       (2835*s[53])/44 - (305*s[54])/11 + (13237*s[55])/44 + 
       (11522*s[56])/99 - (604061*s[57])/1188 + (920299*s[58])/3564 - 
       (829507*s[59])/3564 - (316733*s[60])/297 + (672523*s[61])/32076 - 
       s[71] - 36*s[79] + (64*s[80])/3 - 54*s[82]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      ((5*s[2])/2 - (131*s[4])/8 - (123*s[5])/8 - (285*s[6])/8 - 
       (3451*s[7])/12 + (3761*s[8])/108 + (50353*s[9])/216 + 
       (7075*s[10])/108 + (47041*s[11])/144 + (53615*s[12])/144 + 
       (8101*s[13])/36 + (1625*s[14])/72 + (26399*s[15])/72 + 
       (35051*s[16])/72 + (51169*s[17])/144 + (32933*s[18])/648 + 
       (3893*s[19])/81 + (353843*s[20])/648 + (125489*s[21])/648 - 
       (95827*s[22])/648 - (54935*s[23])/144 - (425441*s[24])/1296 + 
       (2494895*s[25])/5832 - (1313447*s[26])/5832 + s[31] + (5*s[33])/2 - 
       2*s[34] + (3*s[35])/2 - (5*s[36])/2 - (55*s[37])/12 - 11*s[38] + 
       (109*s[39])/2 - (123*s[40])/2 + (173*s[41])/4 - (317*s[42])/4 - 
       (478*s[43])/11 + (9951*s[44])/176 - (13031*s[45])/264 + 
       (109013*s[46])/264 - (3301*s[47])/176 - (1541*s[48])/176 + 
       (39779*s[49])/176 - (13801*s[50])/44 - (24179*s[51])/528 - 
       (6013*s[52])/176 + (174283*s[53])/792 - (1459*s[54])/66 + 
       (734455*s[55])/528 + (585637*s[56])/1584 - (862529*s[57])/2376 + 
       (9065351*s[58])/14256 - (9270119*s[59])/14256 - 
       (10820729*s[60])/3168 + (11511655*s[61])/64152 + s[66]/2 - s[69]/2 - 
       s[71]/2 - s[76] - s[77]/2 - s[78] - 6*s[79] + (41*s[80])/6 - 
       36*s[82]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      (s[2]/4 - 28*s[4] - (2141*s[5])/176 - (7903*s[6])/176 - 
       (95923*s[7])/264 + (192875*s[8])/4752 + (127033*s[9])/432 + 
       (34373*s[10])/432 + (323621*s[11])/792 + (184163*s[12])/396 + 
       (57383*s[13])/198 + (1732*s[14])/99 + (67421*s[15])/144 + 
       (237433*s[16])/396 + (689497*s[17])/1584 + (69833*s[18])/1296 + 
       (4804*s[19])/81 + (603451*s[20])/891 + (3290539*s[21])/14256 - 
       (1354423*s[22])/7128 - (792551*s[23])/1584 - (5777903*s[24])/14256 + 
       (139485827*s[25])/256608 - (71288111*s[26])/256608 - s[29] + s[31]/2 - 
       (3*s[33])/4 - s[34] + (3*s[35])/2 - (9*s[36])/4 - (49*s[37])/8 - 
       13*s[38] + (1053*s[39])/16 - (1257*s[40])/16 + (909*s[41])/16 - 
       (1577*s[42])/16 - (10275*s[43])/176 + (24223*s[44])/352 - 
       (10025*s[45])/176 + (21881*s[46])/44 - (20957*s[47])/1056 - 
       (13763*s[48])/1056 + (289559*s[49])/1056 - (16847*s[50])/44 - 
       (61619*s[51])/1056 - (49657*s[52])/1056 + (5891*s[53])/22 - 
       (1687*s[54])/44 + (1785763*s[55])/1056 + (469945*s[56])/1056 - 
       (174887*s[57])/396 + (7293497*s[58])/9504 - (7565513*s[59])/9504 - 
       (26511695*s[60])/6336 + (4293239*s[61])/21384 + s[66]/2 + 
       (3*s[68])/2 - s[69] - s[71]/2 + s[76]/2 + s[77] - 14*s[79] + 
       (33*s[80])/4 - 36*s[82]) + F1[v, w, u]*HPL[{0, 1, 1}, 1 - u]*
      (-4*s[2] + (27*s[3])/2 - (193*s[4])/4 - 89*s[5] - (389*s[6])/4 - 
       (10465*s[7])/8 + (361*s[8])/4 + (2371*s[9])/2 + 271*s[10] + 
       (12165*s[11])/8 + (3525*s[12])/2 + (8675*s[13])/8 + (409*s[14])/8 + 
       (12161*s[15])/8 + (8213*s[16])/4 + (10307*s[17])/8 + (553*s[18])/2 + 
       (525*s[19])/4 + (10219*s[20])/4 + (7907*s[21])/8 - (5791*s[22])/8 - 
       (6831*s[23])/4 - (16285*s[24])/12 + (17323*s[25])/9 - 
       (19211*s[26])/18 - 4*s[31] + (9*s[33])/2 + 8*s[34] + 9*s[36] - 
       17*s[37] - 101*s[38] + (1113*s[39])/4 - (1125*s[40])/4 + 
       (773*s[41])/4 - (1429*s[42])/4 - (10211*s[43])/44 + (19253*s[44])/88 - 
       (5077*s[45])/22 + (75935*s[46])/44 - (9583*s[47])/88 + 
       (383*s[48])/88 + (93429*s[49])/88 - (13900*s[50])/11 - 
       (60227*s[51])/264 - (19869*s[52])/88 + (107935*s[53])/132 + 
       (901*s[54])/11 + (1383979*s[55])/264 + (348709*s[56])/264 - 
       (249485*s[57])/99 + (7117127*s[58])/2376 - (7080785*s[59])/2376 - 
       (2497125*s[60])/176 + (14020517*s[61])/21384 - 2*s[68] + 2*s[69] + 
       4*s[76] - 2*s[77] - 2*s[78] + 16*s[79] - 18*s[80] - 18*s[82]) + 
     F1[v, w, u]*HPL[{0, 1, 1}, 1 - w]*(4*s[2] - (27*s[3])/2 - (647*s[4])/4 - 
       (1062*s[5])/11 - (11685*s[6])/44 - (658531*s[7])/264 + 
       (69881*s[8])/396 + (37781*s[9])/18 + (6701*s[10])/9 + 
       (722879*s[11])/264 + (97073*s[12])/33 + (468673*s[13])/264 + 
       (102959*s[14])/264 + (28043*s[15])/8 + (574139*s[16])/132 + 
       (306023*s[17])/88 + (19681*s[18])/54 + (56737*s[19])/108 + 
       (6038419*s[20])/1188 + (4302401*s[21])/2376 - (3121801*s[22])/2376 - 
       (296503*s[23])/132 - (3581327*s[24])/1188 + (9304282*s[25])/2673 - 
       (5116132*s[26])/2673 + 4*s[31] + (3*s[33])/2 - 8*s[34] + 7*s[36] - 
       5*s[37] - 93*s[38] + (1287*s[39])/4 - (1483*s[40])/4 + 
       (1195*s[41])/4 - (1775*s[42])/4 - (14705*s[43])/44 + 
       (29907*s[44])/88 - (6673*s[45])/22 + (110545*s[46])/44 - 
       (3581*s[47])/88 - (13635*s[48])/88 + (136231*s[49])/88 - 
       (22131*s[50])/11 - (25643*s[51])/88 - (19787*s[52])/88 + 
       (58963*s[53])/44 + (2043*s[54])/11 + (758563*s[55])/88 + 
       (174821*s[56])/88 - (55291*s[57])/33 + (2926567*s[58])/792 - 
       (3098521*s[59])/792 - (11569781*s[60])/528 + (6873025*s[61])/7128 + 
       2*s[68] - 2*s[69] - 4*s[76] + 2*s[77] + 2*s[78] - 40*s[79] + 
       10*s[80] - 18*s[82]) + H1[v, w, u]*HPL[{0, 1}, 1 - u]*
      ((19*s[2])/4 + (313*s[4])/8 + (210*s[5])/11 + (4995*s[6])/88 + 
       (105207*s[7])/176 - (9923*s[8])/264 - (1562*s[9])/3 - (971*s[10])/6 - 
       (117671*s[11])/176 - (64409*s[12])/88 - (80907*s[13])/176 - 
       (8597*s[14])/176 - (39227*s[15])/48 - (44249*s[16])/44 - 
       (132045*s[17])/176 - (2671*s[18])/36 - (8515*s[19])/72 - 
       (936715*s[20])/792 - (654707*s[21])/1584 + (515707*s[22])/1584 + 
       (50161*s[23])/88 + (556445*s[24])/792 - (1542817*s[25])/1782 + 
       (1627517*s[26])/3564 + s[29] + (7*s[31])/2 + s[33] - 3*s[34] - 
       (67*s[36])/6 + (35*s[37])/12 + (61*s[38])/2 - (729*s[39])/8 + 
       (2407*s[40])/24 - (625*s[41])/8 + (2867*s[42])/24 + 
       (26225*s[43])/264 - (45607*s[44])/528 + (21685*s[45])/264 - 
       (29573*s[46])/44 + (18317*s[47])/1584 + (57455*s[48])/1584 - 
       (686483*s[49])/1584 + (70819*s[50])/132 + (126079*s[51])/1584 + 
       (105757*s[52])/1584 - (7781*s[53])/22 - (1689*s[54])/22 - 
       (396995*s[55])/176 - (785161*s[56])/1584 + (616975*s[57])/1188 - 
       (14515349*s[58])/14256 + (15376613*s[59])/14256 + 
       (56413391*s[60])/9504 - (3766309*s[61])/16038 + s[66]/2 - 
       (3*s[68])/2 + s[69] - (5*s[76])/2 + s[77] - 4*s[78] + 4*s[79] + 
       (35*s[80])/6 - 15*s[82]) + H1[w, u, v]*HPL[{0, 1}, 1 - w]*
      (s[2]/4 + (143*s[4])/8 + (2527*s[5])/88 + (1931*s[6])/44 + 
       (273095*s[7])/528 - (9215*s[8])/297 - (98753*s[9])/216 - 
       (31819*s[10])/216 - (917029*s[11])/1584 - (62699*s[12])/99 - 
       (600871*s[13])/1584 - (117985*s[14])/1584 - (99473*s[15])/144 - 
       (697361*s[16])/792 - (1045009*s[17])/1584 - (58999*s[18])/648 - 
       (59057*s[19])/648 - (7617425*s[20])/7128 - (5646337*s[21])/14256 + 
       (3979427*s[22])/14256 + (183809*s[23])/396 + (1077841*s[24])/1782 - 
       (92803585*s[25])/128304 + (52230181*s[26])/128304 - s[29] + s[31]/2 - 
       (9*s[33])/4 - s[34] - (67*s[36])/6 + (5*s[37])/2 + (61*s[38])/2 - 
       (667*s[39])/8 + (2017*s[40])/24 - (527*s[41])/8 + (2495*s[42])/24 + 
       (21803*s[43])/264 - (37885*s[44])/528 + (6671*s[45])/88 - 
       (19141*s[46])/33 + (32111*s[47])/1584 + (29669*s[48])/1584 - 
       (588605*s[49])/1584 + (59797*s[50])/132 + (107401*s[51])/1584 + 
       (99883*s[52])/1584 - (29498*s[53])/99 - (4847*s[54])/66 - 
       (1008319*s[55])/528 - (670607*s[56])/1584 + (584789*s[57])/1188 - 
       (12731875*s[58])/14256 + (13216543*s[59])/14256 + 
       (47371589*s[60])/9504 - (14550227*s[61])/64152 + s[66]/2 + 
       (5*s[68])/2 - s[69] + s[76]/2 + 3*s[77] - 7*s[79] + (15*s[80])/2 - 
       15*s[82]) + F1[u, v, w]*HPL[{0, 0, 1}, 1 - w]*((17*s[2])/2 - 20*s[3] - 
       (275*s[4])/4 + (325*s[5])/4 + (91*s[6])/2 + (25969*s[7])/72 + 
       (4295*s[8])/54 - (45095*s[9])/108 - (25123*s[10])/108 - 
       (20663*s[11])/72 - (2855*s[12])/36 - (1267*s[13])/72 - 
       (38345*s[14])/72 - (54775*s[15])/72 - (26027*s[16])/36 - 
       (24413*s[17])/24 - (40159*s[18])/324 - (461*s[19])/324 - 
       (390505*s[20])/324 - (419657*s[21])/648 + (140371*s[22])/648 - 
       (19271*s[23])/36 + (142139*s[24])/324 - (547991*s[25])/5832 + 
       (1827431*s[26])/5832 + 4*s[29] - 2*s[30] + 7*s[31] + 6*s[33] - 
       9*s[34] - s[36]/3 - 3*s[37] - 21*s[38] + 50*s[39] - (140*s[40])/3 + 
       28*s[41] - (175*s[42])/3 - (1402*s[43])/33 + (2513*s[44])/66 - 
       (1205*s[45])/22 + (21365*s[46])/66 - (4333*s[47])/198 - 
       (3409*s[48])/198 + (36979*s[49])/198 - (6049*s[50])/33 - 
       (7157*s[51])/198 - (7781*s[52])/198 + (13469*s[53])/99 - 
       (806*s[54])/33 + (29017*s[55])/33 + (55609*s[56])/198 - 
       (321241*s[57])/594 + (524518*s[58])/891 - (992723*s[59])/1782 - 
       (1408547*s[60])/594 + (4916881*s[61])/32076 + s[66] - s[68] - s[69] - 
       s[70] + s[76] - 2*s[78] + 16*s[79] - 5*s[80] - 12*s[82]) + 
     HPL[{0, 1}, 1 - w]*K1[w, u, v]*(-3*s[2] - 11*s[3] - (169*s[4])/2 - 
       (1767*s[5])/44 - (6539*s[6])/44 - (268775*s[7])/264 + 
       (158995*s[8])/1188 + (43837*s[9])/54 + (16843*s[10])/108 + 
       (234961*s[11])/198 + (565591*s[12])/396 + (349229*s[13])/396 - 
       (4072*s[14])/99 + (78605*s[15])/72 + (1262971*s[16])/792 + 
       (385457*s[17])/396 + (77449*s[18])/324 + (10273*s[19])/162 + 
       (1586780*s[20])/891 + (2296997*s[21])/3564 - (922805*s[22])/1782 - 
       (1469591*s[23])/792 - (6648101*s[24])/7128 + (101831881*s[25])/64152 - 
       (52639591*s[26])/64152 + 2*s[29] - s[30] - s[31] + (5*s[33])/4 + 
       2*s[34] + s[35] - (13*s[36])/3 - 8*s[37] - (101*s[38])/2 + 221*s[39] - 
       (701*s[40])/3 + (651*s[41])/4 - (3883*s[42])/12 - (4738*s[43])/33 + 
       (45539*s[44])/264 - (1756*s[45])/11 + (87809*s[46])/66 - 
       (106027*s[47])/792 + (39833*s[48])/792 + (520525*s[49])/792 - 
       (115399*s[50])/132 - (173693*s[51])/792 - (154019*s[52])/792 + 
       (246311*s[53])/396 - (29717*s[54])/132 + (333823*s[55])/88 + 
       (1017871*s[56])/792 - (786227*s[57])/297 + (17873447*s[58])/7128 - 
       (16917737*s[59])/7128 - (45494107*s[60])/4752 + 
       (19936555*s[61])/32076 + s[65]/2 + 2*s[66] - 2*s[67] - 4*s[69] + 
       s[70] - s[71]/2 - 2*s[72] + 2*s[73] + (3*s[74])/2 - (3*s[75])/2 + 
       4*s[76] + s[77] - 8*s[78] + 8*s[79] + 3*s[80] - 12*s[82]) + 
     F1[w, u, v]*HPL[{0, 0, 1}, 1 - u]*(10*s[2] - 2*s[3] + (337*s[4])/4 + 
       (7323*s[5])/44 + (6287*s[6])/22 + (204933*s[7])/88 - 
       (92575*s[8])/594 - (216955*s[9])/108 - (68327*s[10])/108 - 
       (1994897*s[11])/792 - (1048589*s[12])/396 - (1241885*s[13])/792 - 
       (396791*s[14])/792 - (231013*s[15])/72 - (394024*s[16])/99 - 
       (2615633*s[17])/792 - (159641*s[18])/324 - (88837*s[19])/324 - 
       (17101405*s[20])/3564 - (13704827*s[21])/7128 + (8725069*s[22])/7128 + 
       (245228*s[23])/99 + (2195903*s[24])/891 - (196371665*s[25])/64152 + 
       (118997189*s[26])/64152 - 2*s[29] + 6*s[31] - s[32] + (5*s[33])/2 - 
       10*s[34] - 2*s[35] - 14*s[36] + 6*s[37] + 79*s[38] - 332*s[39] + 
       338*s[40] - (509*s[41])/2 + (955*s[42])/2 + (2752*s[43])/11 - 
       (11741*s[44])/44 + (3011*s[45])/11 - (24810*s[46])/11 + 
       (20941*s[47])/132 - (9287*s[48])/132 - (154783*s[49])/132 + 
       (36693*s[50])/22 + (40919*s[51])/132 + (34277*s[52])/132 - 
       (80843*s[53])/66 + (1351*s[54])/22 - (328399*s[55])/44 - 
       (259645*s[56])/132 + (260134*s[57])/99 - (4346009*s[58])/1188 + 
       (4465655*s[59])/1188 + (13820437*s[60])/792 - (5275849*s[61])/5346 - 
       s[65] - 2*s[66] + 4*s[67] + 6*s[68] + 6*s[69] - 2*s[70] + s[71] + 
       4*s[72] - 4*s[73] - 3*s[74] + 3*s[75] - 4*s[76] + 4*s[77] + 8*s[78] - 
       20*s[79] + 10*s[80] - 12*s[82]) + HPL[{0, 1}, 1 - u]*K1[v, w, u]*
      ((9*s[2])/2 + 7*s[3] + 50*s[4] + (1981*s[5])/44 + (3131*s[6])/44 + 
       (223385*s[7])/264 - (33505*s[8])/396 - (12739*s[9])/18 - 
       (8029*s[10])/36 - (121691*s[11])/132 - (132139*s[12])/132 - 
       (18829*s[13])/33 - (6641*s[14])/132 - (9715*s[15])/8 - 
       (386633*s[16])/264 - (25629*s[17])/22 - (14677*s[18])/108 - 
       (4391*s[19])/27 - (500360*s[20])/297 - (179237*s[21])/297 + 
       (520699*s[22])/1188 + (253867*s[23])/264 + (2241263*s[24])/2376 - 
       (25441375*s[25])/21384 + (13744309*s[26])/21384 - 2*s[29] + s[30] + 
       3*s[31] - s[33]/4 - 4*s[34] - s[35] - (52*s[36])/3 - 2*s[37] + 
       (85*s[38])/2 - (279*s[39])/2 + (773*s[40])/6 - (393*s[41])/4 + 
       (2201*s[42])/12 + (8443*s[43])/66 - (29305*s[44])/264 + 
       (1742*s[45])/11 - (36599*s[46])/33 + (38117*s[47])/792 - 
       (10459*s[48])/792 - (488483*s[49])/792 + (115007*s[50])/132 + 
       (84763*s[51])/792 + (72493*s[52])/792 - (261295*s[53])/396 - 
       (18299*s[54])/132 - (1074803*s[55])/264 - (671201*s[56])/792 + 
       (245021*s[57])/594 - (11125501*s[58])/7128 + (12366331*s[59])/7128 + 
       (43733405*s[60])/4752 - (14956325*s[61])/32076 - s[65]/2 - s[66] + 
       2*s[67] + 2*s[68] + 4*s[69] + s[70] + s[71]/2 + 2*s[72] - 2*s[73] - 
       (3*s[74])/2 + (3*s[75])/2 - 4*s[76] + 2*s[78] - 36*s[79] + 23*s[80] - 
       12*s[82]) + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*Phi6[u, v, w]*
      ((-61*s[4])/2 - (215*s[5])/22 - (2229*s[6])/44 - (30733*s[7])/88 + 
       (22235*s[8])/594 + (7748*s[9])/27 + (7159*s[10])/108 + 
       (77569*s[11])/198 + (349919*s[12])/792 + (227881*s[13])/792 + 
       (17725*s[14])/792 + (32603*s[15])/72 + (220607*s[16])/396 + 
       (40811*s[17])/99 + (7535*s[18])/162 + (17423*s[19])/324 + 
       (1123657*s[20])/1782 + (1491397*s[21])/7128 - (1292639*s[22])/7128 - 
       (365645*s[23])/792 - (2734199*s[24])/7128 + (33935845*s[25])/64152 - 
       (17128165*s[26])/64152 - s[36] - (61*s[37])/6 - 10*s[38] + 
       (227*s[39])/4 - (279*s[40])/4 + (207*s[41])/4 - (347*s[42])/4 - 
       (2117*s[43])/44 + (2417*s[44])/44 - (3437*s[45])/132 + 
       (10304*s[46])/33 - (1933*s[47])/66 - (1391*s[48])/132 + 
       (6062*s[49])/33 - (4581*s[50])/22 - (3105*s[51])/44 - 
       (1513*s[52])/33 + (28415*s[53])/198 - (5939*s[54])/66 + 
       (110767*s[55])/132 + (59821*s[56])/198 - (792155*s[57])/1188 + 
       (509455*s[58])/891 - (1949341*s[59])/3564 - (629881*s[60])/264 + 
       (7719275*s[61])/64152 - 20*s[79] + (29*s[80])/3 - 11*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*Phi6[u, v, w]*
      (-29*s[4] - (273*s[5])/88 - (3187*s[6])/88 - (36461*s[7])/132 + 
       (85487*s[8])/2376 + (47689*s[9])/216 + (11657*s[10])/216 + 
       (60745*s[11])/198 + (35170*s[12])/99 + (86771*s[13])/396 - 
       (805*s[14])/396 + (25433*s[15])/72 + (175217*s[16])/396 + 
       (244291*s[17])/792 + (32249*s[18])/648 + (2345*s[19])/81 + 
       (444611*s[20])/891 + (1132609*s[21])/7128 - (255179*s[22])/1782 - 
       (345725*s[23])/792 - (1994789*s[24])/7128 + (53744123*s[25])/128304 - 
       (26552495*s[26])/128304 - 2*s[34] - (3*s[36])/2 - (113*s[37])/12 - 
       3*s[38] + (331*s[39])/8 - (447*s[40])/8 + (335*s[41])/8 - 
       (583*s[42])/8 - (2109*s[43])/88 + (7037*s[44])/176 - 
       (3979*s[45])/264 + (29939*s[46])/132 - (15295*s[47])/528 + 
       (4439*s[48])/528 + (56005*s[49])/528 - (3425*s[50])/22 - 
       (28345*s[51])/528 - (21947*s[52])/528 + (38743*s[53])/396 - 
       (2512*s[54])/33 + (104763*s[55])/176 + (401033*s[56])/1584 - 
       (361225*s[57])/594 + (6411805*s[58])/14256 - (5701705*s[59])/14256 - 
       (5152529*s[60])/3168 + (6322853*s[61])/64152 - 20*s[79] + 
       (73*s[80])/6 - 11*s[82]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*K1[w, u, v]*
      ((-29*s[4])/2 - (367*s[5])/8 - (471*s[6])/8 - (4839*s[7])/8 + 
       (2687*s[8])/72 + (38147*s[9])/72 + (12505*s[10])/72 + 
       (8051*s[11])/12 + (17351*s[12])/24 + (10249*s[13])/24 + 
       (3109*s[14])/24 + (9839*s[15])/12 + (3107*s[16])/3 + 
       (19609*s[17])/24 + (24403*s[18])/216 + (11065*s[19])/108 + 
       (68863*s[20])/54 + (13631*s[21])/27 - (69461*s[22])/216 - 
       (6025*s[23])/12 - (38291*s[24])/54 + (3169181*s[25])/3888 - 
       (1905329*s[26])/3888 + 3*s[33] + s[35] + (5*s[36])/6 - (31*s[37])/12 - 
       30*s[38] + (685*s[39])/8 - (2075*s[40])/24 + (481*s[41])/8 - 
       (2563*s[42])/24 - (2027*s[43])/24 + (3769*s[44])/48 - 
       (2383*s[45])/24 + (2677*s[46])/4 - (2999*s[47])/144 - 
       (3725*s[48])/144 + (57365*s[49])/144 - (1498*s[50])/3 - 
       (8941*s[51])/144 - (8683*s[52])/144 + (4193*s[53])/12 + 
       (105*s[54])/2 + (108631*s[55])/48 + (76891*s[56])/144 - 
       (52183*s[57])/108 + (1331039*s[58])/1296 - (1386191*s[59])/1296 - 
       (4889021*s[60])/864 + (410653*s[61])/1458 - 2*s[78] + 16*s[79] - 
       (43*s[80])/6 - 9*s[82]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*K1[v, w, u]*
      ((-107*s[4])/2 - (1601*s[5])/88 - (5773*s[6])/88 - (186947*s[7])/264 + 
       (41717*s[8])/792 + (43165*s[9])/72 + (13769*s[10])/72 + 
       (52159*s[11])/66 + (231383*s[12])/264 + (144215*s[13])/264 + 
       (10267*s[14])/264 + (11423*s[15])/12 + (78959*s[16])/66 + 
       (77439*s[17])/88 + (19631*s[18])/216 + (15725*s[19])/108 + 
       (814711*s[20])/594 + (136475*s[21])/297 - (903767*s[22])/2376 - 
       (49867*s[23])/66 - (982633*s[24])/1188 + (44437631*s[25])/42768 - 
       (22677323*s[26])/42768 - (9*s[33])/4 + 2*s[34] + s[35] + (5*s[36])/6 - 
       (55*s[37])/12 - 33*s[38] + (869*s[39])/8 - (2963*s[40])/24 + 
       (769*s[41])/8 - (3571*s[42])/24 - (28345*s[43])/264 + 
       (57803*s[44])/528 - (23741*s[45])/264 + (34827*s[46])/44 - 
       (24757*s[47])/1584 - (58087*s[48])/1584 + (775279*s[49])/1584 - 
       (21158*s[50])/33 - (153863*s[51])/1584 - (121313*s[52])/1584 + 
       (18409*s[53])/44 + (1275*s[54])/22 + (472583*s[55])/176 + 
       (978785*s[56])/1584 - (198365*s[57])/297 + (17176837*s[58])/14256 - 
       (18074245*s[59])/14256 - (65827903*s[60])/9504 + 
       (8946499*s[61])/32076 + 2*s[78] - 20*s[79] + (17*s[80])/6 - 9*s[82]) + 
     A3[w, u, v]*HPL[{1}, 1 - w]*(s[4] - (6*s[5])/11 - (9*s[6])/11 - 
       (145*s[7])/33 - (83*s[8])/99 + (35*s[9])/9 + (37*s[10])/9 + 
       (427*s[11])/66 + (359*s[12])/66 + (181*s[13])/33 + (125*s[14])/33 + 
       (28*s[15])/3 + (433*s[16])/33 + (317*s[17])/22 - (110*s[18])/27 + 
       (194*s[19])/27 + (3350*s[20])/297 + (1007*s[21])/297 - 
       (832*s[22])/297 + (1277*s[23])/66 - (9857*s[24])/594 + 
       (44095*s[25])/5346 - (18643*s[26])/5346 - s[38] - s[41] + s[42] - 
       (14*s[43])/11 + (47*s[44])/22 - (12*s[45])/11 + (68*s[46])/11 + 
       (181*s[47])/66 - (347*s[48])/66 + (689*s[49])/66 - (72*s[50])/11 + 
       (91*s[51])/22 + (167*s[52])/66 + (146*s[53])/33 + (106*s[54])/11 + 
       (2357*s[55])/66 + (25*s[56])/22 + (943*s[57])/33 - (113*s[58])/66 - 
       (105*s[59])/22 - (39581*s[60])/396 + (1351*s[61])/1782 - 6*s[82]) + 
     A3[u, v, w]*HPL[{1}, 1 - u]*((-6*s[5])/11 + (13*s[6])/11 - 
       (137*s[7])/22 + (20*s[8])/33 + (16*s[9])/3 + (11*s[10])/3 + 
       (73*s[11])/11 + (149*s[12])/22 + (51*s[13])/22 + (21*s[14])/22 + 
       (27*s[15])/2 + (159*s[16])/11 + (142*s[17])/11 + (2*s[18])/9 + 
       (31*s[19])/9 + (1663*s[20])/99 + (1115*s[21])/198 - (727*s[22])/198 - 
       (29*s[23])/22 - (2017*s[24])/198 + (13547*s[25])/1782 - 
       (6977*s[26])/1782 + (8*s[43])/11 + (18*s[44])/11 - (12*s[45])/11 + 
       (68*s[46])/11 - s[47]/11 - s[48]/11 + (47*s[49])/11 - (94*s[50])/11 - 
       (15*s[51])/11 + (26*s[52])/11 + (56*s[53])/11 + (106*s[54])/11 + 
       (1151*s[55])/33 + (29*s[56])/11 + (272*s[57])/33 + (617*s[58])/99 - 
       (797*s[59])/99 - (5231*s[60])/66 + (2408*s[61])/891 - 6*s[82]) + 
     F1[w, u, v]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*(8*s[4] + (431*s[5])/88 + 
       (1059*s[6])/88 + (10317*s[7])/88 - (24601*s[8])/2376 - 
       (21611*s[9])/216 - (5821*s[10])/216 - (12643*s[11])/99 - 
       (111967*s[12])/792 - (67259*s[13])/792 - (8639*s[14])/792 - 
       (1379*s[15])/9 - (74725*s[16])/396 - (112373*s[17])/792 - 
       (14407*s[18])/648 - (4687*s[19])/324 - (405401*s[20])/1782 - 
       (142721*s[21])/1782 + (438643*s[22])/7128 + (61949*s[23])/396 + 
       (107930*s[24])/891 - (21241051*s[25])/128304 + 
       (11431231*s[26])/128304 - s[36]/2 + (7*s[37])/12 + 5*s[38] - 
       (151*s[39])/8 + (171*s[40])/8 - (131*s[41])/8 + (219*s[42])/8 + 
       (1497*s[43])/88 - (2619*s[44])/176 + (4115*s[45])/264 - 
       (17161*s[46])/132 + (4237*s[47])/528 - (977*s[48])/528 - 
       (34183*s[49])/528 + (1070*s[50])/11 + (10799*s[51])/528 + 
       (9617*s[52])/528 - (27089*s[53])/396 + (1321*s[54])/66 - 
       (74749*s[55])/176 - (182587*s[56])/1584 + (170653*s[57])/1188 - 
       (2988959*s[58])/14256 + (3032807*s[59])/14256 + (1097837*s[60])/1056 - 
       (1727345*s[61])/32076 + 4*s[79] - (5*s[80])/6 - 6*s[82]) + 
     F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*(5*s[4] + (739*s[5])/88 + 
       (1059*s[6])/88 + (30313*s[7])/264 - (859*s[8])/88 - (799*s[9])/8 - 
       (219*s[10])/8 - (5393*s[11])/44 - (11683*s[12])/88 - 
       (19523*s[13])/264 - (1813*s[14])/88 - (1811*s[15])/12 - 
       (24505*s[16])/132 - (38653*s[17])/264 - (2159*s[18])/72 - 
       (275*s[19])/36 - (46807*s[20])/198 - (36997*s[21])/396 + 
       (5213*s[22])/88 + (19865*s[23])/132 + (1237*s[24])/11 - 
       (2140327*s[25])/14256 + (1306603*s[26])/14256 - (3*s[33])/4 + s[34] - 
       s[36]/2 + (3*s[37])/4 + 4*s[38] - (131*s[39])/8 + (143*s[40])/8 - 
       (107*s[41])/8 + (191*s[42])/8 + (1189*s[43])/88 - (2047*s[44])/176 + 
       (1665*s[45])/88 - (5471*s[46])/44 + (5161*s[47])/528 - 
       (3485*s[48])/528 - (26923*s[49])/528 + (960*s[50])/11 + 
       (3057*s[51])/176 + (8693*s[52])/528 - (8663*s[53])/132 + 
       (499*s[54])/22 - (217867*s[55])/528 - (20967*s[56])/176 + 
       (2949*s[57])/22 - (322715*s[58])/1584 + (324419*s[59])/1584 + 
       (2964523*s[60])/3168 - (53146*s[61])/891 - s[80]/2 - 6*s[82]) + 
     F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      ((15*s[4])/2 + (307*s[5])/88 + (785*s[6])/88 + (25747*s[7])/264 - 
       (19891*s[8])/2376 - (18041*s[9])/216 - (4801*s[10])/216 - 
       (87071*s[11])/792 - (49385*s[12])/396 - (60635*s[13])/792 - 
       (3485*s[14])/792 - (1109*s[15])/9 - (31355*s[16])/198 - 
       (44251*s[17])/396 - (10921*s[18])/648 - (2369*s[19])/162 - 
       (669013*s[20])/3564 - (57520*s[21])/891 + (373111*s[22])/7128 + 
       (102325*s[23])/792 + (762979*s[24])/7128 - (18454801*s[25])/128304 + 
       (9574753*s[26])/128304 - s[36]/2 + (13*s[37])/12 + (11*s[38])/2 - 
       (143*s[39])/8 + (163*s[40])/8 - (127*s[41])/8 + (203*s[42])/8 + 
       (1369*s[43])/88 - (2667*s[44])/176 + (3107*s[45])/264 - 
       (14437*s[46])/132 + (3937*s[47])/528 + (307*s[48])/528 - 
       (34603*s[49])/528 + (1845*s[50])/22 + (3273*s[51])/176 + 
       (8705*s[52])/528 - (21419*s[53])/396 + (577*s[54])/66 - 
       (177523*s[55])/528 - (138271*s[56])/1584 + (177601*s[57])/1188 - 
       (2581763*s[58])/14256 + (2599043*s[59])/14256 + (959209*s[60])/1056 - 
       (654499*s[61])/16038 + 4*s[79] - (5*s[80])/6 - 3*s[82]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*Phi6[u, v, w]*
      ((15*s[4])/2 + (307*s[5])/88 + (785*s[6])/88 + (25747*s[7])/264 - 
       (19891*s[8])/2376 - (18041*s[9])/216 - (4801*s[10])/216 - 
       (87071*s[11])/792 - (49385*s[12])/396 - (60635*s[13])/792 - 
       (3485*s[14])/792 - (1109*s[15])/9 - (31355*s[16])/198 - 
       (44251*s[17])/396 - (10921*s[18])/648 - (2369*s[19])/162 - 
       (669013*s[20])/3564 - (57520*s[21])/891 + (373111*s[22])/7128 + 
       (102325*s[23])/792 + (762979*s[24])/7128 - (18454801*s[25])/128304 + 
       (9574753*s[26])/128304 - s[36]/2 + (13*s[37])/12 + (11*s[38])/2 - 
       (143*s[39])/8 + (163*s[40])/8 - (127*s[41])/8 + (203*s[42])/8 + 
       (1369*s[43])/88 - (2667*s[44])/176 + (3107*s[45])/264 - 
       (14437*s[46])/132 + (3937*s[47])/528 + (307*s[48])/528 - 
       (34603*s[49])/528 + (1845*s[50])/22 + (3273*s[51])/176 + 
       (8705*s[52])/528 - (21419*s[53])/396 + (577*s[54])/66 - 
       (177523*s[55])/528 - (138271*s[56])/1584 + (177601*s[57])/1188 - 
       (2581763*s[58])/14256 + (2599043*s[59])/14256 + (959209*s[60])/1056 - 
       (654499*s[61])/16038 + 4*s[79] - (5*s[80])/6 - 3*s[82]) + 
     F1[v, w, u]*HPL[{1}, 1 - w]^3*((15*s[4])/2 + (307*s[5])/88 + 
       (785*s[6])/88 + (25747*s[7])/264 - (19891*s[8])/2376 - 
       (18041*s[9])/216 - (4801*s[10])/216 - (87071*s[11])/792 - 
       (49385*s[12])/396 - (60635*s[13])/792 - (3485*s[14])/792 - 
       (1109*s[15])/9 - (31355*s[16])/198 - (44251*s[17])/396 - 
       (10921*s[18])/648 - (2369*s[19])/162 - (669013*s[20])/3564 - 
       (57520*s[21])/891 + (373111*s[22])/7128 + (102325*s[23])/792 + 
       (762979*s[24])/7128 - (18454801*s[25])/128304 + 
       (9574753*s[26])/128304 - s[36]/2 + (13*s[37])/12 + (11*s[38])/2 - 
       (143*s[39])/8 + (163*s[40])/8 - (127*s[41])/8 + (203*s[42])/8 + 
       (1369*s[43])/88 - (2667*s[44])/176 + (3107*s[45])/264 - 
       (14437*s[46])/132 + (3937*s[47])/528 + (307*s[48])/528 - 
       (34603*s[49])/528 + (1845*s[50])/22 + (3273*s[51])/176 + 
       (8705*s[52])/528 - (21419*s[53])/396 + (577*s[54])/66 - 
       (177523*s[55])/528 - (138271*s[56])/1584 + (177601*s[57])/1188 - 
       (2581763*s[58])/14256 + (2599043*s[59])/14256 + (959209*s[60])/1056 - 
       (327200*s[61])/8019 + 4*s[79] - (5*s[80])/6 - 3*s[82]) + 
     F1[u, v, w]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      ((11*s[4])/2 + (615*s[5])/88 + (917*s[6])/88 + (26935*s[7])/264 - 
       (6997*s[8])/792 - (6401*s[9])/72 - (1699*s[10])/72 - 
       (29735*s[11])/264 - (16403*s[12])/132 - (18877*s[13])/264 - 
       (3413*s[14])/264 - (793*s[15])/6 - (11053*s[16])/66 - 
       (5567*s[17])/44 - (5251*s[18])/216 - (271*s[19])/27 - 
       (122867*s[20])/594 - (48551*s[21])/594 + (127135*s[22])/2376 + 
       (36059*s[23])/264 + (250513*s[24])/2376 - (5975263*s[25])/42768 + 
       (3549187*s[26])/42768 - (3*s[33])/4 + s[34] - s[36]/2 + (3*s[37])/4 + 
       (9*s[38])/2 - (131*s[39])/8 + (143*s[40])/8 - (111*s[41])/8 + 
       (187*s[42])/8 + (1193*s[43])/88 - (2271*s[44])/176 + (1373*s[45])/88 - 
       (4959*s[46])/44 + (4553*s[47])/528 - (1717*s[48])/528 - 
       (30203*s[49])/528 + (884*s[50])/11 + (8939*s[51])/528 + 
       (7957*s[52])/528 - (7345*s[53])/132 + (251*s[54])/22 - 
       (185443*s[55])/528 - (17231*s[56])/176 + (3261*s[57])/22 - 
       (302155*s[58])/1584 + (300379*s[59])/1584 + (2777219*s[60])/3168 - 
       (179345*s[61])/3564 - s[80]/2 - 3*s[82]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*Phi6[u, v, w]*
      ((11*s[4])/2 + (615*s[5])/88 + (917*s[6])/88 + (26935*s[7])/264 - 
       (6997*s[8])/792 - (6401*s[9])/72 - (1699*s[10])/72 - 
       (29735*s[11])/264 - (16403*s[12])/132 - (18877*s[13])/264 - 
       (3413*s[14])/264 - (793*s[15])/6 - (11053*s[16])/66 - 
       (5567*s[17])/44 - (5251*s[18])/216 - (271*s[19])/27 - 
       (122867*s[20])/594 - (48551*s[21])/594 + (127135*s[22])/2376 + 
       (36059*s[23])/264 + (250513*s[24])/2376 - (5975263*s[25])/42768 + 
       (3549187*s[26])/42768 - (3*s[33])/4 + s[34] - s[36]/2 + (3*s[37])/4 + 
       (9*s[38])/2 - (131*s[39])/8 + (143*s[40])/8 - (111*s[41])/8 + 
       (187*s[42])/8 + (1193*s[43])/88 - (2271*s[44])/176 + (1373*s[45])/88 - 
       (4959*s[46])/44 + (4553*s[47])/528 - (1717*s[48])/528 - 
       (30203*s[49])/528 + (884*s[50])/11 + (8939*s[51])/528 + 
       (7957*s[52])/528 - (7345*s[53])/132 + (251*s[54])/22 - 
       (185443*s[55])/528 - (17231*s[56])/176 + (3261*s[57])/22 - 
       (302155*s[58])/1584 + (300379*s[59])/1584 + (2777219*s[60])/3168 - 
       (179345*s[61])/3564 - s[80]/2 - 3*s[82]) + 
     F1[v, w, u]*HPL[{1}, 1 - u]^3*((11*s[4])/2 + (615*s[5])/88 + 
       (917*s[6])/88 + (26935*s[7])/264 - (6997*s[8])/792 - (6401*s[9])/72 - 
       (1699*s[10])/72 - (29735*s[11])/264 - (16403*s[12])/132 - 
       (18877*s[13])/264 - (3413*s[14])/264 - (793*s[15])/6 - 
       (11053*s[16])/66 - (5567*s[17])/44 - (5251*s[18])/216 - 
       (271*s[19])/27 - (122867*s[20])/594 - (48551*s[21])/594 + 
       (127135*s[22])/2376 + (36059*s[23])/264 + (250513*s[24])/2376 - 
       (5975263*s[25])/42768 + (3549187*s[26])/42768 - (3*s[33])/4 + s[34] - 
       s[36]/2 + (3*s[37])/4 + (9*s[38])/2 - (131*s[39])/8 + (143*s[40])/8 - 
       (111*s[41])/8 + (187*s[42])/8 + (1193*s[43])/88 - (2271*s[44])/176 + 
       (1373*s[45])/88 - (4959*s[46])/44 + (4553*s[47])/528 - 
       (1717*s[48])/528 - (30203*s[49])/528 + (884*s[50])/11 + 
       (8939*s[51])/528 + (7957*s[52])/528 - (7345*s[53])/132 + 
       (251*s[54])/22 - (185443*s[55])/528 - (17231*s[56])/176 + 
       (3261*s[57])/22 - (302155*s[58])/1584 + (300379*s[59])/1584 + 
       (2777219*s[60])/3168 - (179147*s[61])/3564 - s[80]/2 - 3*s[82]) + 
     HPL[{0, 1}, 1 - w]*J1[w, u, v]*((-97*s[2])/16 - (527*s[4])/32 - 
       (5871*s[5])/352 - (8267*s[6])/176 - (698839*s[7])/2112 + 
       (32491*s[8])/1188 + (243193*s[9])/864 + (54779*s[10])/864 + 
       (2370437*s[11])/6336 + (170257*s[12])/396 + (1703687*s[13])/6336 + 
       (260897*s[14])/6336 + (216865*s[15])/576 + (1632361*s[16])/3168 + 
       (2181617*s[17])/6336 + (198023*s[18])/2592 + (30385*s[19])/2592 + 
       (18128497*s[20])/28512 + (13384001*s[21])/57024 - 
       (9988771*s[22])/57024 - (744325*s[23])/1584 - (2292659*s[24])/7128 + 
       (246604001*s[25])/513216 - (133822373*s[26])/513216 - (3*s[29])/4 - 
       (25*s[31])/8 - (59*s[33])/16 + (13*s[34])/4 - (101*s[36])/24 - 
       (59*s[37])/24 - (101*s[38])/8 + (1723*s[39])/32 - (5857*s[40])/96 + 
       (1295*s[41])/32 - (7535*s[42])/96 - (42923*s[43])/1056 + 
       (93853*s[44])/2112 - (51869*s[45])/1056 + (48863*s[46])/132 - 
       (177839*s[47])/6336 + (8347*s[48])/6336 + (1038461*s[49])/6336 - 
       (125005*s[50])/528 - (355561*s[51])/6336 - (334315*s[52])/6336 + 
       (16642*s[53])/99 - (26921*s[54])/264 + (2253343*s[55])/2112 + 
       (272375*s[56])/704 - (1041431*s[57])/1584 + (12985409*s[58])/19008 - 
       (12073013*s[59])/19008 - (104869733*s[60])/38016 + 
       (5012299*s[61])/28512 - s[66]/8 + (11*s[68])/8 + s[69]/4 + 
       (31*s[76])/8 + (5*s[77])/4 - (9*s[79])/4 + (11*s[80])/24 - 
       (9*s[82])/4) + HPL[{0, 1}, 1 - u]*J1[v, w, u]*
      ((5*s[2])/16 - (985*s[4])/32 - (397*s[5])/44 - (15995*s[6])/352 - 
       (751573*s[7])/2112 + (364835*s[8])/9504 + (15691*s[9])/54 + 
       (14645*s[10])/216 + (2575631*s[11])/6336 + (1519433*s[12])/3168 + 
       (1912643*s[13])/6336 - (2179*s[14])/6336 + (229969*s[15])/576 + 
       (893021*s[16])/1584 + (2266229*s[17])/6336 + (91003*s[18])/1296 + 
       (93931*s[19])/2592 + (18154963*s[20])/28512 + (12057467*s[21])/57024 - 
       (10594387*s[22])/57024 - (1811753*s[23])/3168 - 
       (10259405*s[24])/28512 + (4382441*s[25])/8019 - 
       (34896035*s[26])/128304 + (3*s[29])/4 + (9*s[31])/8 - s[33] - 
       s[34]/4 - (101*s[36])/24 - (235*s[37])/48 - (117*s[38])/8 + 
       (2089*s[39])/32 - (7351*s[40])/96 + (1825*s[41])/32 - 
       (9395*s[42])/96 - (49985*s[43])/1056 + (123223*s[44])/2112 - 
       (45269*s[45])/1056 + (214823*s[46])/528 - (197309*s[47])/6336 + 
       (26497*s[48])/6336 + (1274147*s[49])/6336 - (150283*s[50])/528 - 
       (442351*s[51])/6336 - (386125*s[52])/6336 + (148085*s[53])/792 - 
       (23885*s[54])/264 + (2493913*s[55])/2112 + (849971*s[56])/2112 - 
       (1199149*s[57])/1584 + (4701245*s[58])/6336 - (4445293*s[59])/6336 - 
       (117986111*s[60])/38016 + (3749657*s[61])/21384 - s[66]/8 - 
       (5*s[68])/8 + (3*s[69])/4 - (3*s[76])/8 + (3*s[77])/4 - s[78] - 
       15*s[79] + (197*s[80])/24 - (9*s[82])/4) + 
     F1[u, v, w]*HPL[{1}, 1 - u]^3*(-2*s[5] - s[6] - (163*s[7])/9 + 
       (7*s[8])/9 + (287*s[9])/18 + (133*s[10])/18 + (91*s[11])/6 + 
       (45*s[12])/4 + (95*s[13])/36 + (31*s[14])/4 + (107*s[15])/3 + 
       (1187*s[16])/36 + (677*s[17])/18 + (83*s[18])/18 + (25*s[19])/9 + 
       (403*s[20])/9 + (2071*s[21])/108 - (937*s[22])/108 - (148*s[23])/9 - 
       (475*s[24])/27 + (15187*s[25])/972 - (13171*s[26])/972 + s[35] - 
       s[36] - s[37]/2 - s[42]/6 - (2*s[43])/3 - s[44]/4 - 4*s[45] + 
       (55*s[46])/3 + (13*s[47])/36 + (73*s[48])/36 - (7*s[49])/36 - 
       (46*s[50])/3 - s[51]/12 - (13*s[52])/36 + (275*s[53])/18 - 
       (19*s[54])/3 + (3661*s[55])/36 + (257*s[56])/12 + (472*s[57])/9 + 
       (1163*s[58])/108 - (1997*s[59])/108 - (33167*s[60])/216 + 
       (1021*s[61])/108 + 3*s[82]) + F1[w, u, v]*HPL[{1}, 1 - w]^3*
      ((-3*s[4])/4 - 2*s[5] - (13*s[6])/4 - (779*s[7])/24 + (377*s[8])/108 + 
       (731*s[9])/27 + (491*s[10])/54 + (2249*s[11])/72 + (1067*s[12])/36 + 
       (1121*s[13])/72 + (443*s[14])/72 + (437*s[15])/8 + (508*s[16])/9 + 
       (3947*s[17])/72 + (376*s[18])/81 + (2009*s[19])/324 + 
       (21343*s[20])/324 + (14861*s[21])/648 - (10345*s[22])/648 - 
       (1289*s[23])/36 - (11525*s[24])/324 + (58697*s[25])/1458 - 
       (33227*s[26])/1458 + s[35] - s[36] - s[37]/2 - s[38]/6 + 
       (23*s[39])/12 - (23*s[40])/12 + (7*s[41])/4 - (13*s[42])/4 - 
       (35*s[43])/12 + (29*s[44])/24 - (71*s[45])/12 + (211*s[46])/6 - 
       (59*s[47])/72 + (151*s[48])/72 + (617*s[49])/72 - 28*s[50] - 
       (145*s[51])/72 - (115*s[52])/72 + (236*s[53])/9 - (19*s[54])/3 + 
       (11777*s[55])/72 + (853*s[56])/24 + (779*s[57])/18 + (271*s[58])/8 - 
       (3095*s[59])/72 - (121565*s[60])/432 + (17153*s[61])/972 + 3*s[82]) + 
     F1[v, w, u]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      ((103*s[4])/2 + (629*s[5])/22 + (1631*s[6])/22 + (104197*s[7])/132 - 
       (34787*s[8])/594 - (18149*s[9])/27 - (5665*s[10])/27 - 
       (173755*s[11])/198 - (96007*s[12])/99 - (118255*s[13])/198 - 
       (13765*s[14])/198 - (37999*s[15])/36 - (524477*s[16])/396 - 
       (195445*s[17])/198 - (18521*s[18])/162 - (12068*s[19])/81 - 
       (1381361*s[20])/891 - (957985*s[21])/1782 + (752297*s[22])/1782 + 
       (331297*s[23])/396 + (3237433*s[24])/3564 - (36498689*s[25])/32076 + 
       (19215359*s[26])/32076 + (3*s[33])/2 - 2*s[34] - (7*s[36])/3 + 
       (9*s[37])/2 + 37*s[38] - 122*s[39] + (409*s[40])/3 - 104*s[41] + 
       (500*s[42])/3 + (3956*s[43])/33 - (3848*s[44])/33 + (1157*s[45])/11 - 
       (29129*s[46])/33 + (5063*s[47])/198 + (6383*s[48])/198 - 
       (105455*s[49])/198 + (23015*s[50])/33 + (21781*s[51])/198 + 
       (9146*s[52])/99 - (92183*s[53])/198 - (1076*s[54])/33 - 
       (195949*s[55])/66 - (138731*s[56])/198 + (227083*s[57])/297 - 
       (1208984*s[58])/891 + (1263506*s[59])/891 + (9028103*s[60])/1188 - 
       (5262463*s[61])/16038 + 16*s[79] - s[80] + 3*s[82]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Phi6[u, v, w]*
      ((103*s[4])/2 + (629*s[5])/22 + (1631*s[6])/22 + (104197*s[7])/132 - 
       (34787*s[8])/594 - (18149*s[9])/27 - (5665*s[10])/27 - 
       (173755*s[11])/198 - (96007*s[12])/99 - (118255*s[13])/198 - 
       (13765*s[14])/198 - (37999*s[15])/36 - (524477*s[16])/396 - 
       (195445*s[17])/198 - (18521*s[18])/162 - (12068*s[19])/81 - 
       (1381361*s[20])/891 - (957985*s[21])/1782 + (752297*s[22])/1782 + 
       (331297*s[23])/396 + (3237433*s[24])/3564 - (36498689*s[25])/32076 + 
       (19215359*s[26])/32076 + (3*s[33])/2 - 2*s[34] - (7*s[36])/3 + 
       (9*s[37])/2 + 37*s[38] - 122*s[39] + (409*s[40])/3 - 104*s[41] + 
       (500*s[42])/3 + (3956*s[43])/33 - (3848*s[44])/33 + (1157*s[45])/11 - 
       (29129*s[46])/33 + (5063*s[47])/198 + (6383*s[48])/198 - 
       (105455*s[49])/198 + (23015*s[50])/33 + (21781*s[51])/198 + 
       (9146*s[52])/99 - (92183*s[53])/198 - (1076*s[54])/33 - 
       (195949*s[55])/66 - (138731*s[56])/198 + (227083*s[57])/297 - 
       (1208984*s[58])/891 + (1263506*s[59])/891 + (9028103*s[60])/1188 - 
       (2629895*s[61])/8019 + 16*s[79] - s[80] + 3*s[82]) + 
     HPL[{1}, 1 - u]^2*K1[v, w, u]*((-11*s[4])/2 - (615*s[5])/88 - 
       (917*s[6])/88 - (27067*s[7])/264 + (7261*s[8])/792 + (6425*s[9])/72 + 
       (1675*s[10])/72 + (29867*s[11])/264 + (16535*s[12])/132 + 
       (19141*s[13])/264 + (3545*s[14])/264 + (395*s[15])/3 + 
       (11053*s[16])/66 + (5545*s[17])/44 + (5227*s[18])/216 + 
       (265*s[19])/27 + (61450*s[20])/297 + (48089*s[21])/594 - 
       (127795*s[22])/2376 - (35795*s[23])/264 - (251569*s[24])/2376 + 
       (6021463*s[25])/42768 - (3540739*s[26])/42768 + (3*s[33])/4 - s[34] - 
       s[35] + (3*s[36])/2 - (3*s[37])/4 - (9*s[38])/2 + (131*s[39])/8 - 
       (143*s[40])/8 + (111*s[41])/8 - (187*s[42])/8 - (1193*s[43])/88 + 
       (2271*s[44])/176 - (1373*s[45])/88 + (4959*s[46])/44 - 
       (4817*s[47])/528 + (1717*s[48])/528 + (30203*s[49])/528 - 
       (884*s[50])/11 - (8939*s[51])/528 - (8221*s[52])/528 + 
       (7345*s[53])/132 - (251*s[54])/22 + (184651*s[55])/528 + 
       (17231*s[56])/176 - (10003*s[57])/66 + (304091*s[58])/1584 - 
       (300731*s[59])/1584 - (2770883*s[60])/3168 + (60559*s[61])/1188 + 
       s[80]/2 + 3*s[82]) + HPL[{1}, 1 - w]^2*K1[w, u, v]*
      ((-15*s[4])/2 - (307*s[5])/88 - (785*s[6])/88 - (25615*s[7])/264 + 
       (19099*s[8])/2376 + (17969*s[9])/216 + (4873*s[10])/216 + 
       (86675*s[11])/792 + (48989*s[12])/396 + (59843*s[13])/792 + 
       (3089*s[14])/792 + (2227*s[15])/18 + (31355*s[16])/198 + 
       (44449*s[17])/396 + (10993*s[18])/648 + (2405*s[19])/162 + 
       (668815*s[20])/3564 + (58213*s[21])/891 - (371131*s[22])/7128 - 
       (102721*s[23])/792 - (759811*s[24])/7128 + (18316201*s[25])/128304 - 
       (9600097*s[26])/128304 - s[35] + (3*s[36])/2 - (13*s[37])/12 - 
       (11*s[38])/2 + (143*s[39])/8 - (163*s[40])/8 + (127*s[41])/8 - 
       (203*s[42])/8 - (1369*s[43])/88 + (2667*s[44])/176 - 
       (3107*s[45])/264 + (14437*s[46])/132 - (3673*s[47])/528 - 
       (307*s[48])/528 + (34603*s[49])/528 - (1845*s[50])/22 - 
       (3273*s[51])/176 - (8705*s[52])/528 + (21419*s[53])/396 - 
       (577*s[54])/66 + (177259*s[55])/528 + (138271*s[56])/1584 - 
       (181957*s[57])/1188 + (2597603*s[58])/14256 - (2629139*s[59])/14256 - 
       (955865*s[60])/1056 + (664795*s[61])/16038 - 4*s[79] + (5*s[80])/6 + 
       3*s[82]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      Phi6[u, v, w]*((59*s[4])/2 + (1073*s[5])/22 + (1637*s[6])/22 + 
       (24938*s[7])/33 - (30617*s[8])/594 - (17741*s[9])/27 - 
       (11309*s[10])/54 - (82559*s[11])/99 - (357895*s[12])/396 - 
       (211835*s[13])/396 - (51647*s[14])/396 - (9184*s[15])/9 - 
       (507641*s[16])/396 - (98825*s[17])/99 - (11482*s[18])/81 - 
       (9815*s[19])/81 - (1390277*s[20])/891 - (2139437*s[21])/3564 + 
       (1427611*s[22])/3564 + (144137*s[23])/198 + (767545*s[24])/891 - 
       (8275319*s[25])/8019 + (9654631*s[26])/16038 - 3*s[33] + s[34] - 
       (7*s[36])/3 + 4*s[37] + 35*s[38] - (215*s[39])/2 + (677*s[40])/6 - 
       82*s[41] + (841*s[42])/6 + (6763*s[43])/66 - (12923*s[44])/132 + 
       (1304*s[45])/11 - (27470*s[46])/33 + (11359*s[47])/396 + 
       (8653*s[48])/396 - (186493*s[49])/396 + (20711*s[50])/33 + 
       (34469*s[51])/396 + (31355*s[52])/396 - (86381*s[53])/198 - 
       (1160*s[54])/33 - (371803*s[55])/132 - (271507*s[56])/396 + 
       (197260*s[57])/297 - (4591979*s[58])/3564 + (4764707*s[59])/3564 + 
       (16539103*s[60])/2376 - (5569951*s[61])/16038 - 8*s[79] + 4*s[80] + 
       3*s[82]) + F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      ((59*s[4])/2 + (1073*s[5])/22 + (1637*s[6])/22 + (24938*s[7])/33 - 
       (30617*s[8])/594 - (17741*s[9])/27 - (11309*s[10])/54 - 
       (82559*s[11])/99 - (357895*s[12])/396 - (211835*s[13])/396 - 
       (51647*s[14])/396 - (9184*s[15])/9 - (507641*s[16])/396 - 
       (98825*s[17])/99 - (11482*s[18])/81 - (9815*s[19])/81 - 
       (1390277*s[20])/891 - (2139437*s[21])/3564 + (1427611*s[22])/3564 + 
       (144137*s[23])/198 + (767545*s[24])/891 - (8275319*s[25])/8019 + 
       (9654631*s[26])/16038 - 3*s[33] + s[34] - (7*s[36])/3 + 4*s[37] + 
       35*s[38] - (215*s[39])/2 + (677*s[40])/6 - 82*s[41] + (841*s[42])/6 + 
       (6763*s[43])/66 - (12923*s[44])/132 + (1304*s[45])/11 - 
       (27470*s[46])/33 + (11359*s[47])/396 + (8653*s[48])/396 - 
       (186493*s[49])/396 + (20711*s[50])/33 + (34469*s[51])/396 + 
       (31355*s[52])/396 - (86381*s[53])/198 - (1160*s[54])/33 - 
       (371803*s[55])/132 - (271507*s[56])/396 + (197260*s[57])/297 - 
       (4591979*s[58])/3564 + (4764707*s[59])/3564 + (16539103*s[60])/2376 - 
       (5568763*s[61])/16038 - 8*s[79] + 4*s[80] + 3*s[82]) + 
     HPL[{0, 1}, 1 - w]*J1[v, w, u]*((-13*s[2])/16 + (601*s[4])/32 - 
       (545*s[5])/352 + (597*s[6])/44 + (106079*s[7])/704 - 
       (70409*s[8])/4752 - (104789*s[9])/864 - (30103*s[10])/864 - 
       (1108795*s[11])/6336 - (325097*s[12])/1584 - (833341*s[13])/6336 + 
       (116525*s[14])/6336 - (108743*s[15])/576 - (778667*s[16])/3168 - 
       (1003075*s[17])/6336 - (42199*s[18])/2592 - (86099*s[19])/2592 - 
       (7629527*s[20])/28512 - (4732615*s[21])/57024 + 
       (4670129*s[22])/57024 + (384635*s[23])/1584 + (302239*s[24])/1782 - 
       (123542629*s[25])/513216 + (58396201*s[26])/513216 + (3*s[29])/4 - 
       (9*s[31])/8 + (5*s[33])/16 + s[34]/4 + (17*s[36])/24 + 3*s[37] + 
       (59*s[38])/8 - (923*s[39])/32 + (3529*s[40])/96 - (927*s[41])/32 + 
       (4163*s[42])/96 + (26963*s[43])/1056 - (66541*s[44])/2112 + 
       (5411*s[45])/352 - (46721*s[46])/264 + (29495*s[47])/6336 + 
       (63485*s[48])/6336 - (754469*s[49])/6336 + (77035*s[50])/528 + 
       (183529*s[51])/6336 + (136483*s[52])/6336 - (68701*s[53])/792 - 
       (443*s[54])/264 - (1162631*s[55])/2112 - (869039*s[56])/6336 + 
       (1317803*s[57])/4752 - (17558611*s[58])/57024 + 
       (17840887*s[59])/57024 + (59114189*s[60])/38016 - 
       (13551965*s[61])/256608 - s[66]/8 - (5*s[68])/8 + (3*s[69])/4 + 
       (3*s[76])/8 - (3*s[77])/4 - s[78] + (47*s[79])/4 - (33*s[80])/8 + 
       (15*s[82])/4) + HPL[{0, 1}, 1 - u]*J1[u, v, w]*
      ((-47*s[2])/16 + (835*s[4])/32 + (2837*s[5])/176 + (13219*s[6])/352 + 
       (277609*s[7])/704 - (313231*s[8])/9504 - (144253*s[9])/432 - 
       (43829*s[10])/432 - (2799733*s[11])/6336 - (1563289*s[12])/3168 - 
       (1913341*s[13])/6336 - (204955*s[14])/6336 - (298571*s[15])/576 - 
       (1048507*s[16])/1584 - (3079555*s[17])/6336 - (39775*s[18])/648 - 
       (194189*s[19])/2592 - (21926657*s[20])/28512 - 
       (15166513*s[21])/57024 + (11910269*s[22])/57024 + 
       (1456087*s[23])/3168 + (13066927*s[24])/28512 - 
       (147404105*s[25])/256608 + (77347007*s[26])/256608 + (3*s[29])/4 - 
       (3*s[31])/8 - (13*s[33])/4 + s[34]/4 - (3*s[35])/2 + (29*s[36])/24 + 
       (57*s[37])/16 + (151*s[38])/8 - (1977*s[39])/32 + (6679*s[40])/96 - 
       (1657*s[41])/32 + (8123*s[42])/96 + (59705*s[43])/1056 - 
       (126343*s[44])/2112 + (18663*s[45])/352 - (232759*s[46])/528 + 
       (93989*s[47])/6336 + (106199*s[48])/6336 - (1628675*s[49])/6336 + 
       (179077*s[50])/528 + (352999*s[51])/6336 + (305197*s[52])/6336 - 
       (22322*s[53])/99 + (2485*s[54])/264 - (1021379*s[55])/704 - 
       (2359073*s[56])/6336 + (1966823*s[57])/4752 - (39201277*s[58])/57024 + 
       (40639261*s[59])/57024 + (143424839*s[60])/38016 - 
       (2758211*s[61])/16038 - (5*s[66])/8 - (13*s[68])/8 + (3*s[69])/4 + 
       (9*s[76])/8 + (3*s[77])/4 + s[78] + 8*s[79] - (19*s[80])/8 + 
       (15*s[82])/4) + HPL[{0, 1}, 1 - w]*J1[u, v, w]*
      ((7*s[2])/16 + (661*s[4])/32 + (7731*s[5])/352 + (476*s[6])/11 + 
       (867169*s[7])/2112 - (52075*s[8])/1584 - (100639*s[9])/288 - 
       (29897*s[10])/288 - (960869*s[11])/2112 - (264235*s[12])/528 - 
       (640963*s[13])/2112 - (112157*s[14])/2112 - (105041*s[15])/192 - 
       (728393*s[16])/1056 - (369135*s[17])/704 - (59609*s[18])/864 - 
       (56893*s[19])/864 - (7787833*s[20])/9504 - (5682233*s[21])/19008 + 
       (4138111*s[22])/19008 + (236963*s[23])/528 + (1110521*s[24])/2376 - 
       (99178403*s[25])/171072 + (54572207*s[26])/171072 + (3*s[29])/4 + 
       (3*s[31])/8 + (35*s[33])/16 - s[34]/4 - (3*s[35])/2 + (29*s[36])/24 + 
       (35*s[37])/12 + (139*s[38])/8 - (1895*s[39])/32 + (6157*s[40])/96 - 
       (1483*s[41])/32 + (7751*s[42])/96 + (59903*s[43])/1056 - 
       (115057*s[44])/2112 + (65845*s[45])/1056 - (40093*s[46])/88 + 
       (98675*s[47])/6336 + (79601*s[48])/6336 - (1591385*s[49])/6336 + 
       (178747*s[50])/528 + (312541*s[51])/6336 + (289423*s[52])/6336 - 
       (63137*s[53])/264 + (1107*s[54])/88 - (1081681*s[55])/704 - 
       (2510587*s[56])/6336 + (1821535*s[57])/4752 - (40445663*s[58])/57024 + 
       (42112931*s[59])/57024 + (144731441*s[60])/38016 - 
       (49040137*s[61])/256608 - (5*s[66])/8 - (13*s[68])/8 + (3*s[69])/4 - 
       (9*s[76])/8 - (3*s[77])/4 + s[78] - (5*s[79])/4 + (29*s[80])/24 + 
       (15*s[82])/4) + HPL[{0, 1}, 1 - u]*J1[w, u, v]*
      ((-7*s[2])/16 - (225*s[4])/32 + (2439*s[5])/176 + (4171*s[6])/352 + 
       (62981*s[7])/704 - (29311*s[8])/9504 - (35149*s[9])/432 - 
       (11075*s[10])/432 - (638017*s[11])/6336 - (345241*s[12])/3168 - 
       (379393*s[13])/6336 - (265879*s[14])/6336 - (59927*s[15])/576 - 
       (234217*s[16])/1584 - (736831*s[17])/6336 - (2675*s[18])/81 - 
       (2153*s[19])/2592 - (5932997*s[20])/28512 - (5668429*s[21])/57024 + 
       (2636801*s[22])/57024 + (203155*s[23])/3168 + (2632447*s[24])/28512 - 
       (27417803*s[25])/256608 + (21233633*s[26])/256608 - (3*s[29])/4 - 
       (7*s[31])/8 + (5*s[33])/8 + (3*s[34])/4 + (17*s[36])/24 + s[37]/16 + 
       (51*s[38])/8 - (461*s[39])/32 + (1171*s[40])/96 - (173*s[41])/32 + 
       (1487*s[42])/96 + (11453*s[43])/1056 - (20275*s[44])/2112 + 
       (6379*s[45])/352 - (50839*s[46])/528 + (46985*s[47])/6336 + 
       (17219*s[48])/6336 - (337151*s[49])/6336 + (29053*s[50])/528 + 
       (48163*s[51])/6336 + (76225*s[52])/6336 - (3848*s[53])/99 + 
       (2065*s[54])/264 - (558797*s[55])/2112 - (540293*s[56])/6336 + 
       (762347*s[57])/4752 - (10488097*s[58])/57024 + (9443377*s[59])/57024 + 
       (25482371*s[60])/38016 - (3270239*s[61])/64152 - s[66]/8 + 
       (11*s[68])/8 + s[69]/4 + s[76]/8 - s[77]/4 - 7*s[79] + (13*s[80])/8 + 
       (15*s[82])/4) + A3[u, v, w]*HPL[{1}, 1 - w]*
      ((6*s[5])/11 - (13*s[6])/11 + (137*s[7])/22 - (20*s[8])/33 - 
       (16*s[9])/3 - (11*s[10])/3 - (73*s[11])/11 - (149*s[12])/22 - 
       (51*s[13])/22 - (21*s[14])/22 - (27*s[15])/2 - (159*s[16])/11 - 
       (142*s[17])/11 - (2*s[18])/9 - (31*s[19])/9 - (1663*s[20])/99 - 
       (1115*s[21])/198 + (727*s[22])/198 + (29*s[23])/22 + 
       (2017*s[24])/198 - (13547*s[25])/1782 + (6977*s[26])/1782 - 
       (8*s[43])/11 - (18*s[44])/11 + (12*s[45])/11 - (68*s[46])/11 + 
       s[47]/11 + s[48]/11 - (47*s[49])/11 + (94*s[50])/11 + (15*s[51])/11 - 
       (26*s[52])/11 - (56*s[53])/11 - (106*s[54])/11 - (1151*s[55])/33 - 
       (29*s[56])/11 - (272*s[57])/33 - (617*s[58])/99 + (797*s[59])/99 + 
       (5231*s[60])/66 - (2408*s[61])/891 + 6*s[82]) + 
     A3[w, u, v]*HPL[{1}, 1 - u]*(-s[4] + (6*s[5])/11 + (9*s[6])/11 + 
       (145*s[7])/33 + (83*s[8])/99 - (35*s[9])/9 - (37*s[10])/9 - 
       (427*s[11])/66 - (359*s[12])/66 - (181*s[13])/33 - (125*s[14])/33 - 
       (28*s[15])/3 - (433*s[16])/33 - (317*s[17])/22 + (110*s[18])/27 - 
       (194*s[19])/27 - (3350*s[20])/297 - (1007*s[21])/297 + 
       (832*s[22])/297 - (1277*s[23])/66 + (9857*s[24])/594 - 
       (44095*s[25])/5346 + (18643*s[26])/5346 + s[38] + s[41] - s[42] + 
       (14*s[43])/11 - (47*s[44])/22 + (12*s[45])/11 - (68*s[46])/11 - 
       (181*s[47])/66 + (347*s[48])/66 - (689*s[49])/66 + (72*s[50])/11 - 
       (91*s[51])/22 - (167*s[52])/66 - (146*s[53])/33 - (106*s[54])/11 - 
       (2357*s[55])/66 - (25*s[56])/22 - (943*s[57])/33 + (113*s[58])/66 + 
       (105*s[59])/22 + (39581*s[60])/396 - (1351*s[61])/1782 + 6*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      (-3*s[2] - 7*s[3] - 71*s[4] - (542*s[5])/11 - (2253*s[6])/22 - 
       (277879*s[7])/264 + (33739*s[8])/297 + (46879*s[9])/54 + 
       (6760*s[10])/27 + (114965*s[11])/99 + (256943*s[12])/198 + 
       (149989*s[13])/198 + (14951*s[14])/396 + (101471*s[15])/72 + 
       (1407289*s[16])/792 + (264343*s[17])/198 + (15193*s[18])/81 + 
       (27427*s[19])/162 + (3609943*s[20])/1782 + (2536163*s[21])/3564 - 
       (1934161*s[22])/3564 - (1101677*s[23])/792 - (8036639*s[24])/7128 + 
       (24374575*s[25])/16038 - (25678559*s[26])/32076 + 3*s[29] - s[30] - 
       s[31] - s[33]/2 + 3*s[34] + s[35] + (31*s[36])/3 - (13*s[37])/6 - 
       (99*s[38])/2 + 182*s[39] - (541*s[40])/3 + (543*s[41])/4 - 
       (3017*s[42])/12 - (4964*s[43])/33 + (39007*s[44])/264 - 
       (5963*s[45])/33 + (88961*s[46])/66 - (60491*s[47])/792 + 
       (20953*s[48])/792 + (561941*s[49])/792 - (134873*s[50])/132 - 
       (124297*s[51])/792 - (107539*s[52])/792 + (300323*s[53])/396 + 
       (3823*s[54])/132 + (1237669*s[55])/264 + (297265*s[56])/264 - 
       (34310*s[57])/33 + (4866661*s[58])/2376 - (5148403*s[59])/2376 - 
       (51429995*s[60])/4752 + (1558138*s[61])/2673 + s[65]/2 + s[66] - 
       2*s[67] - 3*s[68] - 3*s[69] - s[70] - s[71]/2 - 2*s[72] + 2*s[73] + 
       (3*s[74])/2 - (3*s[75])/2 + 3*s[76] + s[77] - 4*s[78] + 22*s[79] - 
       (40*s[80])/3 + 6*s[82]) + HPL[{0, 1}, 1 - w]*K1[v, w, u]*
      ((3*s[2])/2 - 7*s[3] - (115*s[4])/2 - (845*s[5])/22 - (1867*s[6])/22 - 
       (211619*s[7])/264 + (29747*s[8])/297 + (17497*s[9])/27 + 
       (4778*s[10])/27 + (354829*s[11])/396 + (403583*s[12])/396 + 
       (117959*s[13])/198 - (2351*s[14])/396 + (74959*s[15])/72 + 
       (1071725*s[16])/792 + (390187*s[17])/396 + (11951*s[18])/81 + 
       (10483*s[19])/81 + (2659277*s[20])/1782 + (1873387*s[21])/3564 - 
       (1447355*s[22])/3564 - (906259*s[23])/792 - (6006889*s[24])/7128 + 
       (9512482*s[25])/8019 - (19853935*s[26])/32076 + 4*s[29] - s[30] + 
       s[31] + (7*s[33])/2 + s[35] + (28*s[36])/3 + s[37]/6 - (79*s[38])/2 + 
       (303*s[39])/2 - (875*s[40])/6 + (437*s[41])/4 - (2531*s[42])/12 - 
       (7837*s[43])/66 + (31129*s[44])/264 - (9227*s[45])/66 + 
       (23623*s[46])/22 - (57605*s[47])/792 + (26611*s[48])/792 + 
       (447815*s[49])/792 - (104795*s[50])/132 - (105031*s[51])/792 - 
       (89977*s[52])/792 + (26307*s[53])/44 + (449*s[54])/44 + 
       (321437*s[55])/88 + (720277*s[56])/792 - (1160783*s[57])/1188 + 
       (11876885*s[58])/7128 - (12499631*s[59])/7128 - 
       (39873041*s[60])/4752 + (3871354*s[61])/8019 + s[65]/2 + s[66] - 
       2*s[67] - 4*s[68] - 2*s[69] - s[70] - s[71]/2 - 2*s[72] + 2*s[73] + 
       (3*s[74])/2 - (3*s[75])/2 - 6*s[78] + 26*s[79] - (29*s[80])/3 + 
       6*s[82]) + F1[v, w, u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      (-5*s[2] + (71*s[3])/4 + (1331*s[4])/8 + (1039*s[5])/11 + 
       (24007*s[6])/88 + (1225973*s[7])/528 - (531521*s[8])/2376 - 
       (206903*s[9])/108 - (15268*s[10])/27 - (4123475*s[11])/1584 - 
       (2318639*s[12])/792 - (2802395*s[13])/1584 - (277349*s[14])/1584 - 
       (430525*s[15])/144 - (1543373*s[16])/396 - (4541681*s[17])/1584 - 
       (34393*s[18])/81 - (235873*s[19])/648 - (31928863*s[20])/7128 - 
       (23014055*s[21])/14256 + (17155759*s[22])/14256 + 
       (2326259*s[23])/792 + (18094757*s[24])/7128 - (216404665*s[25])/
        64152 + (116845225*s[26])/64152 - 3*s[29] + s[30] - 4*s[31] - 
       7*s[33] + 6*s[34] - s[35] - (43*s[36])/6 + (21*s[37])/2 + 
       (203*s[38])/2 - (3077*s[39])/8 + (10051*s[40])/24 - (2543*s[41])/8 + 
       (13073*s[42])/24 + (85025*s[43])/264 - (181561*s[44])/528 + 
       (7053*s[45])/22 - (697943*s[46])/264 + (232805*s[47])/1584 + 
       (43055*s[48])/1584 - (2349647*s[49])/1584 + (259177*s[50])/132 + 
       (571795*s[51])/1584 + (484711*s[52])/1584 - (1067545*s[53])/792 + 
       (7451*s[54])/132 - (4476661*s[55])/528 - (3589373*s[56])/1584 + 
       (3777893*s[57])/1188 - (61805767*s[58])/14256 + 
       (62300749*s[59])/14256 + (201964241*s[60])/9504 - 
       (143190805*s[61])/128304 - s[65]/2 - 2*s[66] + 2*s[67] + s[68] + 
       5*s[69] - s[70] + s[71]/2 + 2*s[72] - 2*s[73] - (3*s[74])/2 + 
       (3*s[75])/2 + 2*s[76] + 7*s[78] + 12*s[79] - 7*s[80] + 6*s[82]) + 
     F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*(-s[2] - (55*s[3])/4 - 
       (263*s[4])/8 + (43*s[5])/4 - (199*s[6])/8 - (6403*s[7])/48 + 
       (9977*s[8])/216 + (1300*s[9])/27 + (5411*s[10])/108 + 
       (16745*s[11])/144 + (7787*s[12])/72 + (5141*s[13])/144 - 
       (4381*s[14])/144 + (41597*s[15])/144 + (11339*s[16])/36 + 
       (49847*s[17])/144 - (2383*s[18])/324 + (48329*s[19])/648 + 
       (137689*s[20])/648 + (17837*s[21])/1296 - (56113*s[22])/1296 - 
       (15149*s[23])/72 - (112007*s[24])/648 + (292669*s[25])/1458 - 
       (85237*s[26])/1458 + 3*s[29] - s[30] + s[31] - (7*s[33])/2 + s[35] + 
       (29*s[36])/6 + (49*s[37])/6 + (21*s[38])/2 + (49*s[39])/8 + 
       (25*s[40])/24 + (67*s[41])/8 - (469*s[42])/24 - (397*s[43])/264 + 
       (4973*s[44])/528 - (1673*s[45])/66 + (17049*s[46])/88 - 
       (9121*s[47])/1584 + (30413*s[48])/1584 + (79459*s[49])/1584 - 
       (23321*s[50])/132 - (10007*s[51])/1584 + (21469*s[52])/1584 + 
       (51143*s[53])/264 + (1431*s[54])/44 + (563545*s[55])/528 + 
       (301337*s[56])/1584 + (543085*s[57])/1188 + (1364827*s[58])/14256 - 
       (3072937*s[59])/14256 - (13572109*s[60])/9504 + 
       (15553393*s[61])/128304 + s[65]/2 + s[66] - 2*s[67] - 2*s[68] - 
       4*s[69] - s[70] - s[71]/2 - 2*s[72] + 2*s[73] + (3*s[74])/2 - 
       (3*s[75])/2 + s[76] + 2*s[77] - 3*s[78] + 18*s[79] - (17*s[80])/3 + 
       6*s[82]) + HPL[{0, 1}, 1 - u]*K1[u, v, w]*((-17*s[2])/2 - s[3] - 
       (5*s[4])/2 - (4541*s[5])/88 - (7609*s[6])/88 - (16433*s[7])/33 + 
       (2199*s[8])/88 + (3451*s[9])/8 + (1101*s[10])/8 + (23031*s[11])/44 + 
       (45539*s[12])/88 + (79235*s[13])/264 + (16117*s[14])/88 + 
       (16679*s[15])/24 + (226133*s[16])/264 + (208297*s[17])/264 + 
       (10409*s[18])/72 + (163*s[19])/18 + (424937*s[20])/396 + 
       (195037*s[21])/396 - (67697*s[22])/264 - (135313*s[23])/264 - 
       (119197*s[24])/264 + (8331739*s[25])/14256 - (5960635*s[26])/14256 + 
       2*s[29] - 4*s[31] + s[32]/2 - (13*s[33])/2 + 6*s[34] - 2*s[35] + 
       (13*s[36])/2 + (17*s[37])/12 - (17*s[38])/2 + (523*s[39])/8 - 
       (471*s[40])/8 + (341*s[41])/8 - (821*s[42])/8 - (2621*s[43])/88 + 
       (6977*s[44])/176 - (11531*s[45])/264 + (51901*s[46])/132 - 
       (29563*s[47])/528 + (28979*s[48])/528 + (82705*s[49])/528 - 
       (11201*s[50])/44 - (34201*s[51])/528 - (28631*s[52])/528 + 
       (43477*s[53])/198 - (5891*s[54])/132 + (645197*s[55])/528 + 
       (605797*s[56])/1584 - (894913*s[57])/1188 + (10283753*s[58])/14256 - 
       (9972173*s[59])/14256 - (2491039*s[60])/1056 + (1695917*s[61])/8019 + 
       s[65]/2 - 2*s[67] - 5*s[68] - 2*s[69] + s[70] - s[71]/2 - 2*s[72] + 
       2*s[73] + (3*s[74])/2 - (3*s[75])/2 + 3*s[76] - 2*s[78] + 18*s[79] - 
       (31*s[80])/6 + 6*s[82]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*(-3*s[2] + 11*s[3] + (145*s[4])/2 + 
       (1349*s[5])/44 + (4955*s[6])/44 + (215557*s[7])/264 - 
       (135719*s[8])/1188 - (69619*s[9])/108 - (13973*s[10])/108 - 
       (94771*s[11])/99 - (458033*s[12])/396 - (280303*s[13])/396 + 
       (6305*s[14])/99 - (63931*s[15])/72 - (1029221*s[16])/792 - 
       (314419*s[17])/396 - (60071*s[18])/324 - (12065*s[19])/162 - 
       (1258309*s[20])/891 - (1813393*s[21])/3564 + (735013*s[22])/1782 + 
       (1189333*s[23])/792 + (5433283*s[24])/7128 - (82606829*s[25])/64152 + 
       (42440567*s[26])/64152 - 3*s[29] + s[30] - 2*s[31] - (11*s[33])/2 + 
       s[34] - s[35] - (8*s[36])/3 + (37*s[37])/6 + (91*s[38])/2 - 
       188*s[39] + (581*s[40])/3 - (555*s[41])/4 + (3253*s[42])/12 + 
       (4078*s[43])/33 - (38543*s[44])/264 + (8545*s[45])/66 - 
       (12158*s[46])/11 + (87811*s[47])/792 - (35081*s[48])/792 - 
       (464293*s[49])/792 + (99097*s[50])/132 + (142673*s[51])/792 + 
       (124715*s[52])/792 - (23249*s[53])/44 + (4611*s[54])/44 - 
       (281947*s[55])/88 - (795275*s[56])/792 + (627508*s[57])/297 - 
       (14595403*s[58])/7128 + (14042425*s[59])/7128 + 
       (38306839*s[60])/4752 - (16116497*s[61])/32076 - s[65]/2 - 2*s[66] + 
       2*s[67] + 2*s[68] + 4*s[69] - s[70] + s[71]/2 + 2*s[72] - 2*s[73] - 
       (3*s[74])/2 + (3*s[75])/2 + s[77] + 8*s[78] - 12*s[79] - (2*s[80])/3 + 
       6*s[82]) + HPL[{1}, 1 - w]^2*K1[v, w, u]*(-5*s[4] - (739*s[5])/88 - 
       (1059*s[6])/88 - (30445*s[7])/264 + (2665*s[8])/264 + (2405*s[9])/24 + 
       (649*s[10])/24 + (5415*s[11])/44 + (11771*s[12])/88 + 
       (19787*s[13])/264 + (1857*s[14])/88 + (1805*s[15])/12 + 
       (24505*s[16])/132 + (38521*s[17])/264 + (239*s[18])/8 + 
       (89*s[19])/12 + (2601*s[20])/11 + (36689*s[21])/396 - 
       (47137*s[22])/792 - (19799*s[23])/132 - (11177*s[24])/99 + 
       (2155727*s[25])/14256 - (1303787*s[26])/14256 + (3*s[33])/4 - s[34] + 
       s[36]/2 - (3*s[37])/4 - 4*s[38] + (131*s[39])/8 - (143*s[40])/8 + 
       (107*s[41])/8 - (191*s[42])/8 - (1189*s[43])/88 + (2047*s[44])/176 - 
       (1665*s[45])/88 + (5471*s[46])/44 - (5425*s[47])/528 + 
       (3485*s[48])/528 + (26923*s[49])/528 - (960*s[50])/11 - 
       (3057*s[51])/176 - (8693*s[52])/528 + (8663*s[53])/132 - 
       (499*s[54])/22 + (218131*s[55])/528 + (20967*s[56])/176 - 
       (8605*s[57])/66 + (106985*s[58])/528 - (35675*s[59])/176 - 
       (2974555*s[60])/3168 + (106501*s[61])/1782 + s[80]/2 + 6*s[82]) + 
     HPL[{1}, 1 - u]^2*K1[w, u, v]*(-8*s[4] - (431*s[5])/88 - 
       (1059*s[6])/88 - (10273*s[7])/88 + (23809*s[8])/2376 + 
       (21539*s[9])/216 + (5893*s[10])/216 + (25187*s[11])/198 + 
       (111175*s[12])/792 + (66467*s[13])/792 + (8243*s[14])/792 + 
       (2767*s[15])/18 + (74725*s[16])/396 + (112769*s[17])/792 + 
       (14479*s[18])/648 + (4759*s[19])/324 + (202651*s[20])/891 + 
       (144107*s[21])/1782 - (436663*s[22])/7128 - (62345*s[23])/396 - 
       (107534*s[24])/891 + (21102451*s[25])/128304 - 
       (11456575*s[26])/128304 + s[36]/2 - (7*s[37])/12 - 5*s[38] + 
       (151*s[39])/8 - (171*s[40])/8 + (131*s[41])/8 - (219*s[42])/8 - 
       (1497*s[43])/88 + (2619*s[44])/176 - (4115*s[45])/264 + 
       (17161*s[46])/132 - (3973*s[47])/528 + (977*s[48])/528 + 
       (34183*s[49])/528 - (1070*s[50])/11 - (10799*s[51])/528 - 
       (9353*s[52])/528 + (27089*s[53])/396 - (1321*s[54])/66 + 
       (75013*s[55])/176 + (182587*s[56])/1584 - (166693*s[57])/1188 + 
       (2971535*s[58])/14256 - (3029639*s[59])/14256 - (1099949*s[60])/1056 + 
       (1720019*s[61])/32076 - 4*s[79] + (5*s[80])/6 + 6*s[82]) + 
     HPL[{0, 1}, 1 - u]*K1[w, u, v]*(11*s[3] + 74*s[4] + (509*s[5])/11 + 
       (2891*s[6])/22 + (275965*s[7])/264 - (37006*s[8])/297 - 
       (22886*s[9])/27 - (5437*s[10])/27 - (118529*s[11])/99 - 
       (554971*s[12])/396 - (334133*s[13])/396 + (1187*s[14])/198 - 
       (88037*s[15])/72 - (1341157*s[16])/792 - (222763*s[17])/198 - 
       (37433*s[18])/162 - (17221*s[19])/162 - (1704734*s[20])/891 - 
       (1225165*s[21])/1782 + (476041*s[22])/891 + (1322645*s[23])/792 + 
       (7318493*s[24])/7128 - (25381999*s[25])/16038 + 
       (26608169*s[26])/32076 - 4*s[29] + s[30] - s[31] + (3*s[33])/2 - 
       s[35] - (11*s[36])/3 + (11*s[37])/2 + (107*s[38])/2 - 215*s[39] + 
       (662*s[40])/3 - (631*s[41])/4 + (3673*s[42])/12 + (5008*s[43])/33 - 
       (44771*s[44])/264 + (3693*s[45])/22 - (44761*s[46])/33 + 
       (90631*s[47])/792 - (33053*s[48])/792 - (567661*s[49])/792 + 
       (125479*s[50])/132 + (159365*s[51])/792 + (141551*s[52])/792 - 
       (267323*s[53])/396 + (12413*s[54])/132 - (1093085*s[55])/264 - 
       (953263*s[56])/792 + (2555369*s[57])/1188 - (16983947*s[58])/7128 + 
       (16615433*s[59])/7128 + (48180331*s[60])/4752 - 
       (9802589*s[61])/16038 - s[65]/2 - 2*s[66] + 2*s[67] + 4*s[68] + 
       4*s[69] - s[70] + s[71]/2 + 2*s[72] - 2*s[73] - (3*s[74])/2 + 
       (3*s[75])/2 - 2*s[76] + s[77] + 8*s[78] - 14*s[79] + 3*s[80] + 
       6*s[82]) + HPL[{0, 1}, 1 - w]*K1[u, v, w]*(-4*s[2] + 8*s[3] + 
       (255*s[4])/4 - (551*s[5])/88 + (3271*s[6])/88 + (15163*s[7])/33 - 
       (67937*s[8])/792 - (24577*s[9])/72 - (3989*s[10])/72 - 
       (147325*s[11])/264 - (190997*s[12])/264 - (14857*s[13])/33 + 
       (5512*s[14])/33 - (3909*s[15])/8 - (23572*s[16])/33 - 
       (14301*s[17])/44 - (9491*s[18])/216 - (11255*s[19])/108 - 
       (415027*s[20])/594 - (351889*s[21])/2376 + (69598*s[22])/297 + 
       (118091*s[23])/132 + (618535*s[24])/1188 - (35901269*s[25])/42768 + 
       (14296913*s[26])/42768 - 2*s[29] + s[30] - 3*s[31] + s[32]/2 + 
       (5*s[33])/4 + 4*s[34] - 3*s[35] + s[36]/2 + (61*s[37])/12 + 39*s[38] - 
       (941*s[39])/8 + (985*s[40])/8 - (713*s[41])/8 + (1229*s[42])/8 + 
       (9963*s[43])/88 - (18257*s[44])/176 + (31985*s[45])/264 - 
       (113671*s[46])/132 + (6125*s[47])/176 + (4783*s[48])/176 - 
       (88071*s[49])/176 + (13897*s[50])/22 + (17207*s[51])/176 + 
       (15705*s[52])/176 - (175385*s[53])/396 + (151*s[54])/66 - 
       (497903*s[55])/176 - (1124041*s[56])/1584 + (227764*s[57])/297 - 
       (19153589*s[58])/14256 + (19877405*s[59])/14256 + 
       (22759613*s[60])/3168 - (11285273*s[61])/32076 - 2*s[66] - s[68] + 
       2*s[69] - s[70] - 3*s[76] + 3*s[77] + 4*s[78] - 8*s[79] + 
       (43*s[80])/6 + 6*s[82]) + H1[v, w, u]*HPL[{0, 1}, 1 - w]*
      ((-11*s[2])/4 + (623*s[4])/8 + (2921*s[5])/88 + (1185*s[6])/11 + 
       (177721*s[7])/176 - (107879*s[8])/1188 - (182867*s[9])/216 - 
       (52465*s[10])/216 - (1808317*s[11])/1584 - (510815*s[12])/396 - 
       (1271179*s[13])/1584 - (64165*s[14])/1584 - (185201*s[15])/144 - 
       (1320749*s[16])/792 - (1881301*s[17])/1584 - (101713*s[18])/648 - 
       (114245*s[19])/648 - (13627841*s[20])/7128 - (9625201*s[21])/14256 + 
       (7632887*s[22])/14256 + (515165*s[23])/396 + (998024*s[24])/891 - 
       (191950483*s[25])/128304 + (101019055*s[26])/128304 + s[29] - 
       (7*s[31])/2 - (13*s[33])/4 + 3*s[34] + (7*s[36])/6 + (26*s[37])/3 + 
       (93*s[38])/2 - (1349*s[39])/8 + (4727*s[40])/24 - (1185*s[41])/8 + 
       (5773*s[42])/24 + (39565*s[43])/264 - (85523*s[44])/528 + 
       (34807*s[45])/264 - (75599*s[46])/66 + (80329*s[47])/1584 + 
       (46339*s[48])/1584 - (1056571*s[49])/1584 + (115685*s[50])/132 + 
       (256823*s[51])/1584 + (213053*s[52])/1584 - (113635*s[53])/198 + 
       (2203*s[54])/66 - (1933913*s[55])/528 - (509243*s[56])/528 + 
       (192529*s[57])/132 - (9050927*s[58])/4752 + (9134243*s[59])/4752 + 
       (90849427*s[60])/9504 - (9351713*s[61])/21384 + s[66]/2 - 
       (3*s[68])/2 + s[69] + (5*s[76])/2 - s[77] - 4*s[78] + 33*s[79] - 
       (85*s[80])/6 + 9*s[82]) + F1[v, w, u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*(-2*s[2] - (17*s[3])/4 - (923*s[4])/8 - 
       (868*s[5])/11 - (15487*s[6])/88 - (891409*s[7])/528 + 
       (419333*s[8])/2376 + (153719*s[9])/108 + (17789*s[10])/54 + 
       (3054587*s[11])/1584 + (1774055*s[12])/792 + (2155619*s[13])/1584 - 
       (23803*s[14])/1584 + (291025*s[15])/144 + (534937*s[16])/198 + 
       (2828201*s[17])/1584 + (56111*s[18])/162 + (119677*s[19])/648 + 
       (22336675*s[20])/7128 + (16134983*s[21])/14256 - 
       (12654223*s[22])/14256 - (2043461*s[23])/792 - (12062675*s[24])/7128 + 
       (162621379*s[25])/64152 - (85575835*s[26])/64152 + 3*s[29] - s[30] - 
       2*s[31] + (5*s[33])/2 + 4*s[34] + s[35] + (61*s[36])/6 - 
       (29*s[37])/2 - (193*s[38])/2 + (2751*s[39])/8 - (8521*s[40])/24 + 
       (2049*s[41])/8 - (11495*s[42])/24 - (70187*s[43])/264 + 
       (142831*s[44])/528 - (6089*s[45])/22 + (582341*s[46])/264 - 
       (259163*s[47])/1584 + (86215*s[48])/1584 + (1907321*s[49])/1584 - 
       (210547*s[50])/132 - (500413*s[51])/1584 - (456697*s[52])/1584 + 
       (878731*s[53])/792 - (10979*s[54])/132 + (3640819*s[55])/528 + 
       (2967491*s[56])/1584 - (3717917*s[57])/1188 + (53759137*s[58])/14256 - 
       (53608603*s[59])/14256 - (163748735*s[60])/9504 + 
       (119202223*s[61])/128304 + s[65]/2 + 2*s[66] - 2*s[67] - 3*s[68] - 
       3*s[69] + s[70] - s[71]/2 - 2*s[72] + 2*s[73] + (3*s[74])/2 - 
       (3*s[75])/2 + 4*s[76] - 2*s[77] - 9*s[78] + 10*s[79] - 9*s[80] + 
       9*s[82]) + H1[u, v, w]*HPL[{0, 1}, 1 - u]*((-33*s[2])/4 - 
       (123*s[4])/8 - (647*s[5])/44 - (2975*s[6])/88 - (178267*s[7])/528 + 
       (31219*s[8])/2376 + (32683*s[9])/108 + (9923*s[10])/108 + 
       (600109*s[11])/1584 + (330301*s[12])/792 + (411853*s[13])/1584 + 
       (78139*s[14])/1584 + (62819*s[15])/144 + (221767*s[16])/396 + 
       (636835*s[17])/1584 + (4814*s[18])/81 + (27101*s[19])/648 + 
       (4951385*s[20])/7128 + (3681049*s[21])/14256 - (2667725*s[22])/14256 - 
       (219847*s[23])/792 - (2644399*s[24])/7128 + (30395435*s[25])/64152 - 
       (16925801*s[26])/64152 + s[29] - (5*s[31])/2 - 8*s[33] + 3*s[34] - 
       6*s[35] + (23*s[36])/6 - (23*s[37])/12 - (39*s[38])/2 + 
       (453*s[39])/8 - (1451*s[40])/24 + (373*s[41])/8 - (1759*s[42])/24 - 
       (14965*s[43])/264 + (26075*s[44])/528 - (12769*s[45])/264 + 
       (50851*s[46])/132 - (25585*s[47])/1584 - (18523*s[48])/1584 + 
       (401959*s[49])/1584 - (39869*s[50])/132 - (86027*s[51])/1584 - 
       (68105*s[52])/1584 + (18779*s[53])/99 + (3863*s[54])/66 + 
       (213447*s[55])/176 + (136735*s[56])/528 - (172961*s[57])/396 + 
       (987905*s[58])/1584 - (328459*s[59])/528 - (30969163*s[60])/9504 + 
       (360572*s[61])/2673 - (3*s[66])/2 - (3*s[68])/2 + s[69] + 
       (7*s[76])/2 + s[77] + 4*s[78] - (35*s[80])/6 + 9*s[82]) + 
     F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      ((87*s[4])/2 + (2085*s[5])/88 + (5465*s[6])/88 + (177443*s[7])/264 - 
       (114547*s[8])/2376 - (123581*s[9])/216 - (39499*s[10])/216 - 
       (148469*s[11])/198 - (656089*s[12])/792 - (405761*s[13])/792 - 
       (46421*s[14])/792 - (32483*s[15])/36 - (112438*s[16])/99 - 
       (669407*s[17])/792 - (59677*s[18])/648 - (43585*s[19])/324 - 
       (2357321*s[20])/1782 - (407632*s[21])/891 + (2570545*s[22])/7128 + 
       (67337*s[23])/99 + (2805713*s[24])/3564 - (124753705*s[25])/128304 + 
       (65430205*s[26])/128304 + (3*s[33])/2 - 2*s[34] - (11*s[36])/6 + 
       (47*s[37])/12 + 32*s[38] - (825*s[39])/8 + (2759*s[40])/24 - 
       (701*s[41])/8 + (3343*s[42])/24 + (27157*s[43])/264 - 
       (53711*s[44])/528 + (23653*s[45])/264 - (99355*s[46])/132 + 
       (27793*s[47])/1584 + (53995*s[48])/1584 - (741091*s[49])/1584 + 
       (19805*s[50])/33 + (141851*s[51])/1584 + (117485*s[52])/1584 - 
       (157277*s[53])/396 - (3473*s[54])/66 - (1343345*s[55])/528 - 
       (103029*s[56])/176 + (245893*s[57])/396 - (5451595*s[58])/4752 + 
       (5727763*s[59])/4752 + (62344291*s[60])/9504 - (976915*s[61])/3564 + 
       12*s[79] - s[80]/6 + 9*s[82]) + H1[w, u, v]*HPL[{0, 1}, 1 - u]*
      ((7*s[2])/4 + (185*s[4])/8 + (2621*s[5])/44 + (8501*s[6])/88 + 
       (454249*s[7])/528 - (16553*s[8])/264 - (8927*s[9])/12 - 
       (2593*s[10])/12 - (169535*s[11])/176 - (94383*s[12])/88 - 
       (338381*s[13])/528 - (26553*s[14])/176 - (51515*s[15])/48 - 
       (187541*s[16])/132 - (551347*s[17])/528 - (575*s[18])/3 - 
       (2269*s[19])/24 - (462569*s[20])/264 - (1086067*s[21])/1584 + 
       (719599*s[22])/1584 + (253247*s[23])/264 + (730721*s[24])/792 - 
       (8482697*s[25])/7128 + (4972931*s[26])/7128 - s[29] - s[31]/2 + 
       (3*s[33])/2 + s[34] + (7*s[36])/6 + (61*s[37])/12 + (85*s[38])/2 - 
       (1107*s[39])/8 + (3533*s[40])/24 - (819*s[41])/8 + (4465*s[42])/24 + 
       (30787*s[43])/264 - (62093*s[44])/528 + (34895*s[45])/264 - 
       (42219*s[46])/44 + (92407*s[47])/1584 + (14461*s[48])/1584 - 
       (828673*s[49])/1584 + (89747*s[50])/132 + (196829*s[51])/1584 + 
       (183551*s[52])/1584 - (15278*s[53])/33 + (1189*s[54])/22 - 
       (1574323*s[55])/528 - (1319675*s[56])/1584 + (1496393*s[57])/1188 - 
       (23279263*s[58])/14256 + (22698799*s[59])/14256 + 
       (72249373*s[60])/9504 - (6823889*s[61])/16038 + s[66]/2 + 
       (5*s[68])/2 - s[69] - s[76]/2 + s[77] - 4*s[79] + s[80]/6 + 9*s[82]) + 
     H1[u, v, w]*HPL[{0, 1}, 1 - w]*((9*s[2])/4 - (157*s[4])/8 - 
       (1679*s[5])/88 - (653*s[6])/22 - (180401*s[7])/528 + 
       (25559*s[8])/1188 + (65177*s[9])/216 + (21007*s[10])/216 + 
       (614167*s[11])/1584 + (168863*s[12])/396 + (404857*s[13])/1584 + 
       (57943*s[14])/1584 + (63851*s[15])/144 + (458747*s[16])/792 + 
       (677095*s[17])/1584 + (40519*s[18])/648 + (43319*s[19])/648 + 
       (4913171*s[20])/7128 + (3875683*s[21])/14256 - (2591693*s[22])/14256 - 
       (132017*s[23])/396 - (695329*s[24])/1782 + (61830469*s[25])/128304 - 
       (36209881*s[26])/128304 + s[29] + (5*s[31])/2 + (21*s[33])/4 - 
       3*s[34] - 6*s[35] + (23*s[36])/6 - (8*s[37])/3 - (43*s[38])/2 + 
       (483*s[39])/8 - (1553*s[40])/24 + (407*s[41])/8 - (1867*s[42])/24 - 
       (14635*s[43])/264 + (27989*s[44])/528 - (12769*s[45])/264 + 
       (25937*s[46])/66 - (27631*s[47])/1584 - (17797*s[48])/1584 + 
       (406381*s[49])/1584 - (41123*s[50])/132 - (87281*s[51])/1584 - 
       (73979*s[52])/1584 + (38185*s[53])/198 + (3731*s[54])/66 + 
       (655631*s[55])/528 + (142829*s[56])/528 - (61247*s[57])/132 + 
       (3055433*s[58])/4752 - (3083093*s[59])/4752 - (31736677*s[60])/9504 + 
       (3051611*s[61])/21384 - (3*s[66])/2 - (3*s[68])/2 + s[69] - 
       (7*s[76])/2 - s[77] + 4*s[78] - 3*s[79] + (7*s[80])/6 + 9*s[82]) + 
     F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      ((49*s[4])/2 + (323*s[5])/8 + (499*s[6])/8 + (5127*s[7])/8 - 
       (9025*s[8])/216 - (120355*s[9])/216 - (39323*s[10])/216 - 
       (25609*s[11])/36 - (55513*s[12])/72 - (33191*s[13])/72 - 
       (7907*s[14])/72 - (31303*s[15])/36 - (19733*s[16])/18 - 
       (61331*s[17])/72 - (72425*s[18])/648 - (36785*s[19])/324 - 
       (214481*s[20])/162 - (41056*s[21])/81 + (221179*s[22])/648 + 
       (20789*s[23])/36 + (60668*s[24])/81 - (10285651*s[25])/11664 + 
       (5952511*s[26])/11664 - (9*s[33])/4 - (11*s[36])/6 + (13*s[37])/4 + 
       31*s[38] - (729*s[39])/8 + (2279*s[40])/24 - (549*s[41])/8 + 
       (2791*s[42])/24 + (2135*s[43])/24 - (4141*s[44])/48 + (797*s[45])/8 - 
       (8497*s[46])/12 + (2723*s[47])/144 + (4097*s[48])/144 - 
       (60473*s[49])/144 + (1621*s[50])/3 + (10033*s[51])/144 + 
       (9031*s[52])/144 - (13343*s[53])/36 - (347*s[54])/6 - 
       (38465*s[55])/16 - (81575*s[56])/144 + (28627*s[57])/54 - 
       (1405771*s[58])/1296 + (1467187*s[59])/1296 + (5205713*s[60])/864 - 
       (419393*s[61])/1458 - 8*s[79] + (9*s[80])/2 + 9*s[82]) + 
     F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      (-s[2] + s[3]/4 + (7*s[4])/8 - (229*s[5])/11 - (3089*s[6])/88 - 
       (169987*s[7])/528 - (61541*s[8])/2376 + (33307*s[9])/108 + 
       (9145*s[10])/54 + (481321*s[11])/1584 + (184387*s[12])/792 + 
       (211021*s[13])/1584 + (411259*s[14])/1584 + (85067*s[15])/144 + 
       (242875*s[16])/396 + (1066795*s[17])/1584 + (3362*s[18])/81 + 
       (54575*s[19])/648 + (6230165*s[20])/7128 + (4876369*s[21])/14256 - 
       (2542505*s[22])/14256 + (194069*s[23])/792 - (3552457*s[24])/7128 + 
       (19395821*s[25])/64152 - (15445361*s[26])/64152 - 3*s[29] + s[30] - 
       s[31] - (5*s[33])/2 - 4*s[34] - s[35] - (23*s[36])/6 + (5*s[37])/3 + 
       (7*s[38])/2 - (207*s[39])/8 + (161*s[40])/24 + (39*s[41])/8 + 
       (955*s[42])/24 - (5237*s[43])/264 + (2641*s[44])/528 - 
       (485*s[45])/66 + (5299*s[46])/264 + (82531*s[47])/1584 - 
       (126095*s[48])/1584 + (62519*s[49])/1584 - (8977*s[50])/132 + 
       (25853*s[51])/1584 + (30401*s[52])/1584 + (8537*s[53])/792 + 
       (3083*s[54])/132 + (45479*s[55])/176 - (667*s[56])/176 + 
       (246493*s[57])/396 - (759619*s[58])/4752 + (622417*s[59])/4752 - 
       (9321665*s[60])/9504 - (259775*s[61])/14256 - s[65]/2 - s[66] + 
       2*s[67] + 4*s[68] + 2*s[69] + s[70] + s[71]/2 + 2*s[72] - 2*s[73] - 
       (3*s[74])/2 + (3*s[75])/2 - s[76] + 5*s[78] - 30*s[79] + 
       (25*s[80])/3 + 9*s[82]) + F1[v, w, u]*HPL[{0, 0, 1}, 1 - u]*
      ((-13*s[2])/2 + 6*s[3] - (377*s[4])/4 - (426*s[5])/11 - 
       (4921*s[6])/44 - (75623*s[7])/66 + (48673*s[8])/297 + 
       (49987*s[9])/54 + (12113*s[10])/54 + (503597*s[11])/396 + 
       (583837*s[12])/396 + (168835*s[13])/198 - (7189*s[14])/99 + 
       (25835*s[15])/18 + (745391*s[16])/396 + (517601*s[17])/396 + 
       (71467*s[18])/324 + (43817*s[19])/324 + (7376861*s[20])/3564 + 
       (2440391*s[21])/3564 - (2098351*s[22])/3564 - (191398*s[23])/99 - 
       (3921343*s[24])/3564 + (55224863*s[25])/32076 - 
       (27466775*s[26])/32076 + 6*s[29] - 2*s[30] - 2*s[31] + s[32]/2 - 
       3*s[33] + 4*s[34] + 2*s[35] + 12*s[36] - (3*s[37])/2 - 49*s[38] + 
       242*s[39] - 243*s[40] + 188*s[41] - (719*s[42])/2 - (1862*s[43])/11 + 
       (8201*s[44])/44 - (4237*s[45])/22 + (35875*s[46])/22 - 
       (17557*s[47])/132 + (12539*s[48])/132 + (107473*s[49])/132 - 
       (13393*s[50])/11 - (10345*s[51])/44 - (24911*s[52])/132 + 
       (60649*s[53])/66 - (565*s[54])/11 + (724543*s[55])/132 + 
       (62585*s[56])/44 - (245543*s[57])/132 + (345185*s[58])/132 - 
       (119461*s[59])/44 - (9767401*s[60])/792 + (642608*s[61])/891 + s[65] + 
       2*s[66] - 4*s[67] - 5*s[68] - 7*s[69] - s[71] - 4*s[72] + 6*s[73] + 
       3*s[74] - 3*s[75] + 4*s[76] + s[77] - 8*s[78] + 20*s[79] - 10*s[80] + 
       18*s[82]) + F1[v, w, u]*HPL[{0, 0, 1}, 1 - w]*
      (-6*s[2] + (171*s[3])/4 + (1899*s[4])/8 + (2093*s[5])/22 + 
       (29069*s[6])/88 + (4333925*s[7])/1584 - (747139*s[8])/2376 - 
       (237727*s[9])/108 - (60659*s[10])/108 - (4967929*s[11])/1584 - 
       (1442699*s[12])/396 - (3531335*s[13])/1584 + (142655*s[14])/1584 - 
       (483535*s[15])/144 - (3579325*s[16])/792 - (541075*s[17])/176 - 
       (162749*s[18])/324 - (272789*s[19])/648 - (35426471*s[20])/7128 - 
       (24668419*s[21])/14256 + (19944371*s[22])/14256 + 
       (3336143*s[23])/792 + (20432041*s[24])/7128 - (134637937*s[25])/
        32076 + (17231755*s[26])/8019 - 6*s[29] + 2*s[30] - 4*s[31] - s[32] - 
       8*s[33] + 2*s[34] + s[35] - (85*s[36])/6 + (203*s[37])/12 + 
       141*s[38] - (4209*s[39])/8 + (13231*s[40])/24 - (3233*s[41])/8 + 
       (17771*s[42])/24 + (107981*s[43])/264 - (233491*s[44])/528 + 
       (112693*s[45])/264 - (152353*s[46])/44 + (372701*s[47])/1584 - 
       (54649*s[48])/1584 - (3032279*s[49])/1584 + (166097*s[50])/66 + 
       (761647*s[51])/1584 + (663073*s[52])/1584 - (232099*s[53])/132 + 
       (909*s[54])/11 - (1923375*s[55])/176 - (4706233*s[56])/1584 + 
       (2784629*s[57])/594 - (83479373*s[58])/14256 + 
       (83578589*s[59])/14256 + (258414359*s[60])/9504 - 
       (23722123*s[61])/16038 - s[65] - 3*s[66] + 4*s[67] + 4*s[68] + 
       7*s[69] + s[71] + 4*s[72] - 4*s[73] - 3*s[74] + 3*s[75] - 2*s[76] - 
       s[77] + 14*s[78] - 16*s[79] + (23*s[80])/6 + 18*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      (5*s[2] - 8*s[3] + (25*s[4])/2 + (367*s[5])/8 + (677*s[6])/8 + 
       (1886*s[7])/3 - (3443*s[8])/216 - (121721*s[9])/216 - 
       (43681*s[10])/216 - (11875*s[11])/18 - (5830*s[12])/9 - 
       (14285*s[13])/36 - (2222*s[14])/9 - (66565*s[15])/72 - 
       (19609*s[16])/18 - (71095*s[17])/72 - (84217*s[18])/648 - 
       (21631*s[19])/324 - (450647*s[20])/324 - (372955*s[21])/648 + 
       (55307*s[22])/162 + (32975*s[23])/72 + (449291*s[24])/648 - 
       (8809355*s[25])/11664 + (5808215*s[26])/11664 + 3*s[29] - s[30] + 
       4*s[31] - s[32]/2 + 3*s[33] - 4*s[34] + (5*s[36])/3 + (37*s[37])/4 + 
       (5*s[38])/2 - (237*s[39])/4 + (991*s[40])/12 - (127*s[41])/2 + 
       (314*s[42])/3 + (5741*s[43])/132 - (9377*s[44])/132 + 
       (2113*s[45])/88 - (105859*s[46])/264 + (9349*s[47])/396 + 
       (250*s[48])/99 - (85555*s[49])/396 + (21427*s[50])/66 + 
       (26825*s[51])/396 + (9253*s[52])/198 - (162413*s[53])/792 + 
       (8641*s[54])/132 - (85117*s[55])/66 - (78179*s[56])/198 + 
       (179698*s[57])/297 - (4779949*s[58])/7128 + (2332919*s[59])/3564 + 
       (15802511*s[60])/4752 - (19910609*s[61])/128304 + s[66] - s[68] - 
       s[69] + s[70] + s[71]/2 + s[76] - 4*s[77] - 2*s[78] + 36*s[79] - 
       (41*s[80])/2 + 40*s[82]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*((7*s[2])/2 + s[3] + (265*s[4])/4 + 
       (8643*s[5])/88 + (17843*s[6])/88 + (66163*s[7])/44 - 
       (284909*s[8])/2376 - (275731*s[9])/216 - (81263*s[10])/216 - 
       (1314331*s[11])/792 - (710893*s[12])/396 - (862981*s[13])/792 - 
       (217783*s[14])/792 - (143009*s[15])/72 - (2000443*s[16])/792 - 
       (199115*s[17])/99 - (201035*s[18])/648 - (14396*s[19])/81 - 
       (5357875*s[20])/1782 - (1053671*s[21])/891 + (5593517*s[22])/7128 + 
       (170761*s[23])/99 + (5673295*s[24])/3564 - (264339983*s[25])/128304 + 
       (154617455*s[26])/128304 - s[29] + 3*s[31] - s[32]/2 - (5*s[33])/2 - 
       4*s[34] - s[35] - (13*s[36])/3 + (49*s[37])/4 + 52*s[38] - 
       (943*s[39])/4 + (3025*s[40])/12 - (731*s[41])/4 + (4121*s[42])/12 + 
       (23759*s[43])/132 - (54295*s[44])/264 + (15929*s[45])/88 - 
       (413155*s[46])/264 + (89747*s[47])/792 - (14071*s[48])/792 - 
       (666473*s[49])/792 + (148223*s[50])/132 + (177433*s[51])/792 + 
       (143173*s[52])/792 - (642563*s[53])/792 + (7241*s[54])/66 - 
       (1307863*s[55])/264 - (1106729*s[56])/792 + (626947*s[57])/297 - 
       (9308375*s[58])/3564 + (18670741*s[59])/7128 + (14347451*s[60])/1188 - 
       (87524573*s[61])/128304 - s[65]/2 - s[66] + 2*s[67] + 3*s[68] + 
       3*s[69] - s[70] + s[71] + 2*s[72] - 2*s[73] - (3*s[74])/2 + 
       (3*s[75])/2 - s[76] + s[77] + 4*s[78] + 2*s[79] - (15*s[80])/2 + 
       40*s[82]) + A10[w, u, v]*HPL[{1}, 1 - w]*((-3*s[3])/2 + (67*s[4])/4 + 
       (43*s[5])/22 + (1911*s[6])/44 + (36691*s[7])/264 - (15769*s[8])/1188 - 
       (3212*s[9])/27 + (107*s[10])/27 - (126865*s[11])/792 - 
       (18640*s[12])/99 - (119131*s[13])/792 + (1427*s[14])/792 - 
       (8255*s[15])/72 - (64577*s[16])/396 - (64015*s[17])/792 - 
       (3331*s[18])/81 + (8371*s[19])/324 - (657167*s[20])/3564 - 
       (617803*s[21])/7128 + (494843*s[22])/7128 + (125791*s[23])/396 + 
       (236461*s[24])/3564 - (7005539*s[25])/32076 + (4100141*s[26])/32076 - 
       2*s[36] + (9*s[37])/2 + 21*s[38] - (115*s[39])/2 + (127*s[40])/2 - 
       52*s[41] + 81*s[42] + (1169*s[43])/22 - (1653*s[44])/44 + 
       (1817*s[45])/44 - (14733*s[46])/44 + (1531*s[47])/44 - 
       (603*s[48])/44 - (7101*s[49])/44 + (2544*s[50])/11 + 
       (9341*s[51])/132 + (2621*s[52])/44 - (20851*s[53])/132 + 
       (1577*s[54])/22 - (126701*s[55])/132 - (39587*s[56])/132 + 
       (128995*s[57])/198 - (187513*s[58])/297 + (716977*s[59])/1188 + 
       (166367*s[60])/66 - (2786585*s[61])/21384 - s[71] + s[74] - s[75] + 
       8*s[79] + 3*s[80] - 72*s[82] - 6*s[83]) + A10[u, v, w]*HPL[{1}, 1 - u]*
      ((3*s[2])/2 - (85*s[3])/4 - (1839*s[4])/8 - (1601*s[5])/44 - 
       (21479*s[6])/88 - (1195081*s[7])/528 + (735721*s[8])/2376 + 
       (96149*s[9])/54 + (24325*s[10])/54 + (4107553*s[11])/1584 + 
       (607219*s[12])/198 + (2930251*s[13])/1584 - (395963*s[14])/1584 + 
       (393125*s[15])/144 + (1478797*s[16])/396 + (3860095*s[17])/1584 + 
       (59191*s[18])/162 + (244757*s[19])/648 + (28252205*s[20])/7128 + 
       (17659615*s[21])/14256 - (16560287*s[22])/14256 - 
       (1502219*s[23])/396 - (2081276*s[24])/891 + (229451243*s[25])/64152 - 
       (108904955*s[26])/64152 + 4*s[29] - 3*s[30] + 4*s[31] + s[32] - 
       s[34] + 3*s[35] + 17*s[36] - (27*s[37])/2 - 101*s[38] + 
       (935*s[39])/2 - (993*s[40])/2 + 377*s[41] - (1367*s[42])/2 - 
       (7857*s[43])/22 + (36427*s[44])/88 - (16073*s[45])/44 + 
       (141145*s[46])/44 - (16339*s[47])/88 + (2977*s[48])/88 + 
       (155321*s[49])/88 - (26612*s[50])/11 - (111445*s[51])/264 - 
       (31829*s[52])/88 + (111367*s[53])/66 - (321*s[54])/11 + 
       (913079*s[55])/88 + (718637*s[56])/264 - (1506787*s[57])/396 + 
       (12366289*s[58])/2376 - (12504475*s[59])/2376 - (13445225*s[60])/528 + 
       (29026447*s[61])/21384 + 2*s[65] + 4*s[66] - 6*s[67] - 4*s[68] - 
       10*s[69] - 2*s[71] - 6*s[72] + 10*s[73] + (9*s[74])/2 - (9*s[75])/2 + 
       2*s[76] + 3*s[77] - 14*s[78] - 8*s[79] + 7*s[80] - 72*s[82] - 
       6*s[83]) + G[u, v, w]*HPL[{0, 1}, 1 - u]*((25*s[2])/4 - (215*s[3])/8 + 
       (775*s[4])/16 + (18911*s[5])/88 + (63267*s[6])/176 + 
       (1063751*s[7])/352 - (67469*s[8])/528 - (32491*s[9])/12 - 
       (2519*s[10])/3 - (1169093*s[11])/352 - (155777*s[12])/44 - 
       (774775*s[13])/352 - (293505*s[14])/352 - (379931*s[15])/96 - 
       (439107*s[16])/88 - (1388987*s[17])/352 - (21731*s[18])/36 - 
       (51673*s[19])/144 - (10081681*s[20])/1584 - (8106251*s[21])/3168 + 
       (5184187*s[22])/3168 + (237053*s[23])/88 + (674335*s[24])/198 - 
       (56761399*s[25])/14256 + (34972543*s[26])/14256 + 9*s[29] - 
       (7*s[30])/2 + 7*s[31] - s[32]/2 - (45*s[33])/4 - s[34]/2 - 
       (43*s[35])/2 - (5*s[36])/2 + (277*s[37])/12 + 106*s[38] - 
       (667*s[39])/2 + 407*s[40] - (573*s[41])/2 + (1831*s[42])/4 + 
       (7303*s[43])/22 - (55381*s[44])/176 + (80351*s[45])/264 - 
       (620117*s[46])/264 + (53507*s[47])/528 + (64595*s[48])/528 - 
       (652793*s[49])/528 + (70759*s[50])/44 + (175759*s[51])/528 + 
       (169861*s[52])/528 - (206137*s[53])/198 + (62087*s[54])/132 - 
       (3678451*s[55])/528 - (3651469*s[56])/1584 + (8758373*s[57])/2376 - 
       (59981249*s[58])/14256 + (57198791*s[59])/14256 + 
       (60988693*s[60])/3168 - (130162991*s[61])/128304 + (3*s[65])/2 + 
       5*s[66] - 5*s[67] - 2*s[68] - 11*s[69] - s[70] - (3*s[71])/2 - 
       5*s[72] + 5*s[73] + (15*s[74])/4 - (15*s[75])/4 + 5*s[76] + 
       (25*s[77])/2 - 15*s[78] + 70*s[79] - (233*s[80])/6 - 36*s[82] - 
       3*s[83]) + G[u, v, w]*HPL[{0, 1}, 1 - w]*(22*s[2] + (21*s[3])/4 + 
       (3223*s[4])/8 + (6389*s[5])/22 + (71125*s[6])/88 + 
       (3601853*s[7])/528 - (1420619*s[8])/2376 - (622241*s[9])/108 - 
       (170209*s[10])/108 - (12145559*s[11])/1584 - (1711877*s[12])/198 - 
       (8461061*s[13])/1584 - (899867*s[14])/1584 - (1225033*s[15])/144 - 
       (8839441*s[16])/792 - (12623921*s[17])/1584 - (410977*s[18])/324 - 
       (561775*s[19])/648 - (93423031*s[20])/7128 - (67280957*s[21])/14256 + 
       (51359461*s[22])/14256 + (6941915*s[23])/792 + (51581891*s[24])/7128 - 
       (636646843*s[25])/64152 + (341343721*s[26])/64152 - s[29] + s[30] + 
       12*s[31] - s[32]/2 - 3*s[33] - 21*s[34] - 26*s[35] - 32*s[36] + 
       (116*s[37])/3 + 306*s[38] - 1137*s[39] + 1250*s[40] - (1845*s[41])/2 + 
       1608*s[42] + (10477*s[43])/11 - (43559*s[44])/44 + 
       (122087*s[45])/132 - (1012337*s[46])/132 + (20045*s[47])/44 + 
       (1521*s[48])/44 - (182741*s[49])/44 + (61214*s[50])/11 + 
       (143839*s[51])/132 + (42239*s[52])/44 - (1511185*s[53])/396 + 
       (39431*s[54])/66 - (3165953*s[55])/132 - (2705177*s[56])/396 + 
       (3084203*s[57])/297 - (11547463*s[58])/891 + (45751885*s[59])/3564 + 
       (24256259*s[60])/396 - (207734561*s[61])/64152 - s[65] - s[66] + 
       4*s[67] + 5*s[68] + 4*s[69] + s[70] + 4*s[72] - 4*s[73] - 2*s[74] + 
       2*s[75] - 13*s[76] + 2*s[77] + 10*s[78] + 74*s[79] - (53*s[80])/3 - 
       36*s[82] - 3*s[83]) + A10[u, v, w]*HPL[{1}, 1 - w]*
      ((-3*s[2])/2 + (85*s[3])/4 + (1839*s[4])/8 + (1601*s[5])/44 + 
       (21479*s[6])/88 + (1195081*s[7])/528 - (735721*s[8])/2376 - 
       (96149*s[9])/54 - (24325*s[10])/54 - (4107553*s[11])/1584 - 
       (607219*s[12])/198 - (2930251*s[13])/1584 + (395963*s[14])/1584 - 
       (393125*s[15])/144 - (1478797*s[16])/396 - (3860095*s[17])/1584 - 
       (59191*s[18])/162 - (244757*s[19])/648 - (28252205*s[20])/7128 - 
       (17659615*s[21])/14256 + (16560287*s[22])/14256 + 
       (1502219*s[23])/396 + (2081276*s[24])/891 - (229451243*s[25])/64152 + 
       (108904955*s[26])/64152 - 4*s[29] + 3*s[30] - 4*s[31] - s[32] + 
       s[34] - 3*s[35] - 17*s[36] + (27*s[37])/2 + 101*s[38] - 
       (935*s[39])/2 + (993*s[40])/2 - 377*s[41] + (1367*s[42])/2 + 
       (7857*s[43])/22 - (36427*s[44])/88 + (16073*s[45])/44 - 
       (141145*s[46])/44 + (16339*s[47])/88 - (2977*s[48])/88 - 
       (155321*s[49])/88 + (26612*s[50])/11 + (111445*s[51])/264 + 
       (31829*s[52])/88 - (111367*s[53])/66 + (321*s[54])/11 - 
       (913079*s[55])/88 - (718637*s[56])/264 + (1506787*s[57])/396 - 
       (12366289*s[58])/2376 + (12504475*s[59])/2376 + (13445225*s[60])/528 - 
       (29026447*s[61])/21384 - 2*s[65] - 4*s[66] + 6*s[67] + 4*s[68] + 
       10*s[69] + 2*s[71] + 6*s[72] - 10*s[73] - (9*s[74])/2 + (9*s[75])/2 - 
       2*s[76] - 3*s[77] + 14*s[78] + 8*s[79] - 7*s[80] + 72*s[82] + 
       6*s[83]) + A10[w, u, v]*HPL[{1}, 1 - u]*((3*s[3])/2 - (67*s[4])/4 - 
       (43*s[5])/22 - (1911*s[6])/44 - (36691*s[7])/264 + (15769*s[8])/1188 + 
       (3212*s[9])/27 - (107*s[10])/27 + (126865*s[11])/792 + 
       (18640*s[12])/99 + (119131*s[13])/792 - (1427*s[14])/792 + 
       (8255*s[15])/72 + (64577*s[16])/396 + (64015*s[17])/792 + 
       (3331*s[18])/81 - (8371*s[19])/324 + (657167*s[20])/3564 + 
       (617803*s[21])/7128 - (494843*s[22])/7128 - (125791*s[23])/396 - 
       (236461*s[24])/3564 + (7005539*s[25])/32076 - (4100141*s[26])/32076 + 
       2*s[36] - (9*s[37])/2 - 21*s[38] + (115*s[39])/2 - (127*s[40])/2 + 
       52*s[41] - 81*s[42] - (1169*s[43])/22 + (1653*s[44])/44 - 
       (1817*s[45])/44 + (14733*s[46])/44 - (1531*s[47])/44 + 
       (603*s[48])/44 + (7101*s[49])/44 - (2544*s[50])/11 - 
       (9341*s[51])/132 - (2621*s[52])/44 + (20851*s[53])/132 - 
       (1577*s[54])/22 + (126701*s[55])/132 + (39587*s[56])/132 - 
       (128995*s[57])/198 + (187513*s[58])/297 - (716977*s[59])/1188 - 
       (166367*s[60])/66 + (2786585*s[61])/21384 + s[71] - s[74] + s[75] - 
       8*s[79] - 3*s[80] + 72*s[82] + 6*s[83]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*K1[u, v, w]*(-5*s[2] + (5*s[3])/4 - 
       (67*s[4])/8 + (717*s[5])/44 + (1073*s[6])/88 + (887*s[7])/176 + 
       (21913*s[8])/2376 - (815*s[9])/108 - (289*s[10])/27 + 
       (19177*s[11])/1584 + (20561*s[12])/396 + (59479*s[13])/1584 - 
       (112535*s[14])/1584 - (8977*s[15])/144 - (21733*s[16])/792 - 
       (191465*s[17])/1584 - (2803*s[18])/324 - (1087*s[19])/648 - 
       (423721*s[20])/7128 - (1005809*s[21])/14256 - (56303*s[22])/14256 - 
       (87847*s[23])/792 + (87803*s[24])/7128 + (3586631*s[25])/64152 + 
       (1407811*s[26])/64152 - s[29] - s[31] + s[32]/2 - (9*s[33])/4 + 
       2*s[34] - 7*s[35] - s[36] - (10*s[37])/3 - 2*s[38] + (23*s[39])/4 - 
       (47*s[40])/4 + (29*s[41])/4 - (33*s[42])/4 - (285*s[43])/44 + 
       (1275*s[44])/88 + (179*s[45])/33 + (493*s[46])/132 + (481*s[47])/88 - 
       (1653*s[48])/88 + (3309*s[49])/88 - (71*s[50])/11 - (2467*s[51])/264 - 
       (219*s[52])/88 - (7879*s[53])/396 + (827*s[54])/66 - 
       (10619*s[55])/88 - (8545*s[56])/792 - (245863*s[57])/1188 + 
       (354469*s[58])/7128 - (86683*s[59])/7128 - (194413*s[60])/1584 - 
       (668915*s[61])/64152 + s[68] - s[70] + 2*s[73] + 2*s[76] + s[77] - 
       10*s[79] + (10*s[80])/3 - 12*s[82] - (3*s[83])/2 - 3*s[84]) + 
     G[u, v, w]*HPL[{1}, 1 - u]^2*((5*s[3])/8 + (341*s[4])/16 + 
       (615*s[5])/22 + (8755*s[6])/176 + (454225*s[7])/1056 - 
       (142837*s[8])/4752 - (40547*s[9])/108 - (21425*s[10])/216 - 
       (1486339*s[11])/3168 - (403583*s[12])/792 - (960205*s[13])/3168 - 
       (230275*s[14])/3168 - (161345*s[15])/288 - (1103801*s[16])/1584 - 
       (1723009*s[17])/3168 - (15803*s[18])/162 - (50807*s[19])/1296 - 
       (12373469*s[20])/14256 - (9788665*s[21])/28512 + 
       (6432821*s[22])/28512 + (836563*s[23])/1584 + (6238153*s[24])/14256 - 
       (37162393*s[25])/64152 + (11103929*s[26])/32076 + s[32]/4 - 
       (9*s[33])/8 + s[34]/2 + s[35] - (11*s[36])/4 + (7*s[37])/12 + 
       (77*s[38])/4 - (1063*s[39])/16 + (1139*s[40])/16 - (877*s[41])/16 + 
       (1513*s[42])/16 + (867*s[43])/16 - (1461*s[44])/32 + (343*s[45])/6 - 
       (20639*s[46])/48 + (3623*s[47])/96 - (1771*s[48])/96 - 
       (19421*s[49])/96 + 302*s[50] + (2275*s[51])/32 + (6463*s[52])/96 - 
       (30877*s[53])/144 + (1535*s[54])/24 - (128317*s[55])/96 - 
       (112429*s[56])/288 + (35017*s[57])/54 - (1958975*s[58])/2592 + 
       (1926305*s[59])/2592 + (1875067*s[60])/576 - (4490525*s[61])/23328 - 
       s[71]/4 + s[73] + 3*s[79] + (2*s[80])/3 - 33*s[82] - (3*s[83])/4 - 
       (3*s[84])/2) + G[u, v, w]*HPL[{1}, 1 - w]^2*
      ((3*s[2])/4 - (31*s[3])/8 - (469*s[4])/16 + (361*s[5])/22 - 
       (827*s[6])/176 - (30597*s[7])/352 + (180341*s[8])/4752 + 
       (8111*s[9])/216 + (637*s[10])/216 + (375623*s[11])/3168 + 
       (140407*s[12])/792 + (355193*s[13])/3168 - (382549*s[14])/3168 + 
       (24247*s[15])/288 + (15655*s[16])/99 + (101669*s[17])/3168 - 
       (3745*s[18])/324 + (57115*s[19])/1296 + (671917*s[20])/14256 - 
       (1288807*s[21])/28512 - (1149205*s[22])/28512 - (263173*s[23])/792 - 
       (667339*s[24])/7128 + (7180411*s[25])/32076 - (1452559*s[26])/32076 + 
       s[29] - s[30]/2 + s[31]/2 + s[32]/4 - s[33] + s[34] + (3*s[35])/2 + 
       s[36]/4 - (3*s[37])/2 - (9*s[38])/2 + (601*s[39])/16 - 
       (613*s[40])/16 + (473*s[41])/16 - (917*s[42])/16 - (381*s[43])/16 + 
       (1345*s[44])/32 - (39*s[45])/2 + (3967*s[46])/16 - (935*s[47])/96 - 
       (17*s[48])/96 + (15989*s[49])/96 - (1673*s[50])/8 - (2849*s[51])/96 - 
       (1231*s[52])/96 + (6943*s[53])/48 + (101*s[54])/2 + (82433*s[55])/96 + 
       (17951*s[56])/96 - (17645*s[57])/72 + (323449*s[58])/864 - 
       (349927*s[59])/864 - (1192091*s[60])/576 + (750157*s[61])/7776 + 
       s[65]/4 + s[66] - s[67] - s[68] - 2*s[69] + s[70]/2 - s[71]/2 - 
       s[72] + 2*s[73] + (3*s[74])/4 - (3*s[75])/4 - s[77]/2 - 3*s[78] + 
       s[79] + s[80] - 33*s[82] - (3*s[83])/4 - (3*s[84])/2) + 
     F1[u, v, w]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*(5*s[2] + (5*s[3])/8 + 
       (525*s[4])/16 + (2213*s[5])/88 + (11721*s[6])/176 + 
       (591733*s[7])/1056 - (22303*s[8])/528 - (5819*s[9])/12 - 
       (1507*s[10])/12 - (218847*s[11])/352 - (60963*s[12])/88 - 
       (447395*s[13])/1056 - (20639*s[14])/352 - (67915*s[15])/96 - 
       (481711*s[16])/528 - (701323*s[17])/1056 - (8245*s[18])/72 - 
       (7939*s[19])/144 - (1737961*s[20])/1584 - (142401*s[21])/352 + 
       (941993*s[22])/3168 + (380453*s[23])/528 + (916987*s[24])/1584 - 
       (1259521*s[25])/1584 + (693907*s[26])/1584 + 2*s[31] + s[32]/4 + 
       (3*s[33])/4 - 2*s[34] + 6*s[35] + s[36]/2 + (11*s[37])/2 + 
       (51*s[38])/2 - (765*s[39])/8 + (857*s[40])/8 - (643*s[41])/8 + 
       (1099*s[42])/8 + (6579*s[43])/88 - (13905*s[44])/176 + 
       (820*s[45])/11 - (54557*s[46])/88 + (23311*s[47])/528 - 
       (5531*s[48])/528 - (166909*s[49])/528 + (5063*s[50])/11 + 
       (17115*s[51])/176 + (46115*s[52])/528 - (27031*s[53])/88 + 
       (1559*s[54])/44 - (1019129*s[55])/528 - (292031*s[56])/528 + 
       (397481*s[57])/396 - (5163985*s[58])/4752 + (5040199*s[59])/4752 + 
       (15340843*s[60])/3168 - (11248015*s[61])/42768 + s[73] - 2*s[76] + 
       s[77] - 2*s[78] + 15*s[79] - 4*s[80] - (27*s[82])/2 - (3*s[83])/4 - 
       (3*s[84])/2) + F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      ((23*s[2])/4 - (31*s[3])/8 - (621*s[4])/16 + (3831*s[5])/176 + 
       (59*s[6])/22 - (69353*s[7])/1056 + (38791*s[8])/1188 + 
       (6635*s[9])/432 + (2761*s[10])/432 + (267655*s[11])/3168 + 
       (202381*s[12])/1584 + (263743*s[13])/3168 - (396551*s[14])/3168 + 
       (25823*s[15])/288 + (12167*s[16])/99 + (112099*s[17])/3168 - 
       (32159*s[18])/1296 + (73733*s[19])/1296 + (59105*s[20])/14256 - 
       (1978379*s[21])/28512 - (795323*s[22])/28512 - (240371*s[23])/792 - 
       (583199*s[24])/7128 + (47030209*s[25])/256608 - 
       (5461261*s[26])/256608 + s[29] - s[30]/2 + (5*s[31])/2 + s[32]/4 - 
       (7*s[33])/4 - s[34] + (13*s[35])/2 + (15*s[36])/4 + (7*s[37])/8 - 
       (15*s[38])/4 + (381*s[39])/16 - (409*s[40])/16 + (403*s[41])/16 - 
       (603*s[42])/16 - (297*s[43])/16 + (937*s[44])/32 - (123*s[45])/16 + 
       172*s[46] + (5*s[47])/96 - (277*s[48])/96 + (11353*s[49])/96 - 
       (1305*s[50])/8 - (1921*s[51])/96 - (455*s[52])/96 + (2719*s[53])/24 + 
       (163*s[54])/8 + (66125*s[55])/96 + (11647*s[56])/96 + 
       (3401*s[57])/72 + (167999*s[58])/864 - (222359*s[59])/864 - 
       (917281*s[60])/576 + (180349*s[61])/3888 + s[65]/4 + s[66] - s[67] - 
       s[68] - 2*s[69] + s[70]/2 - s[71]/4 - s[72] + 2*s[73] + (3*s[74])/4 - 
       (3*s[75])/4 - 2*s[76] + s[77]/2 - s[78] - 7*s[79] + (9*s[80])/4 - 
       (27*s[82])/2 - (3*s[83])/4 - (3*s[84])/2) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*Phi6[u, v, w]*
      ((5*s[2])/2 + (5*s[3])/8 + (73*s[4])/16 + (899*s[5])/88 + 
       (4501*s[6])/176 + (145229*s[7])/1056 - (12073*s[8])/1584 - 
       (1097*s[9])/9 - (859*s[10])/36 - (161449*s[11])/1056 - 
       (44309*s[12])/264 - (111167*s[13])/1056 - (33289*s[14])/1056 - 
       (5169*s[15])/32 - (114649*s[16])/528 - (57917*s[17])/352 - 
       (8471*s[18])/216 + (1423*s[19])/432 - (1301063*s[20])/4752 - 
       (1124815*s[21])/9504 + (681887*s[22])/9504 + (99611*s[23])/528 + 
       (579067*s[24])/4752 - (7912643*s[25])/42768 + (4995365*s[26])/42768 + 
       s[31] + s[32]/4 - s[34] + 3*s[35] + (5*s[36])/6 + (5*s[37])/3 + 
       (11*s[38])/2 - (107*s[39])/4 + (359*s[40])/12 - (43*s[41])/2 + 
       (493*s[42])/12 + (1975*s[43])/132 - (4703*s[44])/264 + 
       (4789*s[45])/264 - (13287*s[46])/88 + (16237*s[47])/792 - 
       (11021*s[48])/792 - (44509*s[49])/792 + (6419*s[50])/66 + 
       (23687*s[51])/792 + (23327*s[52])/792 - (17879*s[53])/264 + 
       (1561*s[54])/44 - (109837*s[55])/264 - (126485*s[56])/792 + 
       (121681*s[57])/297 - (563401*s[58])/1782 + (2045389*s[59])/7128 + 
       (2336183*s[60])/2376 - (9632093*s[61])/128304 + s[73] - s[76] + 
       s[77]/2 - s[78] + 4*s[79] - (13*s[80])/6 - 6*s[82] - (3*s[83])/4 - 
       (3*s[84])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*Phi6[u, v, w]*
      ((13*s[2])/4 - (31*s[3])/8 - (825*s[4])/16 + (213*s[5])/88 - 
       (5477*s[6])/176 - (136881*s[7])/352 + (94025*s[8])/1584 + 
       (2686*s[9])/9 + (743*s[10])/9 + (470909*s[11])/1056 + 
       (140431*s[12])/264 + (341291*s[13])/1056 - (91087*s[14])/1056 + 
       (47405*s[15])/96 + (172415*s[16])/264 + (440987*s[17])/1056 + 
       (9499*s[18])/216 + (39481*s[19])/432 + (3091267*s[20])/4752 + 
       (1640183*s[21])/9504 - (1899487*s[22])/9504 - (44815*s[23])/66 - 
       (1011523*s[24])/2376 + (27378625*s[25])/42768 - 
       (11843617*s[26])/42768 + s[29] - s[30]/2 + (3*s[31])/2 + s[32]/4 - 
       s[33]/4 - s[34] + (7*s[35])/2 + (23*s[36])/6 - (17*s[37])/12 - 
       (77*s[38])/4 + (311*s[39])/4 - (991*s[40])/12 + (527*s[41])/8 - 
       (2683*s[42])/24 - (8519*s[43])/132 + (38477*s[44])/528 - 
       (15055*s[45])/264 + (140825*s[46])/264 - (37585*s[47])/1584 - 
       (1417*s[48])/1584 + (505939*s[49])/1584 - (112297*s[50])/264 - 
       (113699*s[51])/1584 - (81089*s[52])/1584 + (116429*s[53])/396 + 
       (6869*s[54])/264 + (954631*s[55])/528 + (222947*s[56])/528 - 
       (21079*s[57])/44 + (3858077*s[58])/4752 - (4108757*s[59])/4752 - 
       (42230407*s[60])/9504 + (8696509*s[61])/42768 + s[65]/4 + s[66] - 
       s[67] - s[68] - 2*s[69] + s[70]/2 - s[71]/4 - s[72] + 2*s[73] + 
       (3*s[74])/4 - (3*s[75])/4 - s[76] - 2*s[78] - 4*s[79] + (2*s[80])/3 - 
       6*s[82] - (3*s[83])/4 - (3*s[84])/2) + F1[w, u, v]*HPL[{1}, 1 - u]^3*
      ((5*s[3])/8 - (7*s[4])/16 + (1075*s[5])/88 + (3005*s[6])/176 + 
       (33523*s[7])/352 - (3713*s[8])/1584 - (3091*s[9])/36 - (197*s[10])/9 - 
       (109133*s[11])/1056 - (13745*s[12])/132 - (21949*s[13])/352 - 
       (41825*s[14])/1056 - (12287*s[15])/96 - (28001*s[16])/176 - 
       (51185*s[17])/352 - (5863*s[18])/216 - (1537*s[19])/432 - 
       (989587*s[20])/4752 - (963863*s[21])/9504 + (465055*s[22])/9504 + 
       (44171*s[23])/528 + (460223*s[24])/4752 - (4821775*s[25])/42768 + 
       (3678577*s[26])/42768 + s[32]/4 - (3*s[33])/4 - s[36]/2 + 
       (9*s[38])/2 - (139*s[39])/8 + (135*s[40])/8 - (97*s[41])/8 + 
       (197*s[42])/8 + (1005*s[43])/88 - (1775*s[44])/176 + (657*s[45])/44 - 
       (9129*s[46])/88 + (2375*s[47])/176 - (1739*s[48])/176 - 
       (23839*s[49])/528 + (1487*s[50])/22 + (8491*s[51])/528 + 
       (9197*s[52])/528 - (13765*s[53])/264 + (1493*s[54])/132 - 
       (168139*s[55])/528 - (16911*s[56])/176 + (78931*s[57])/396 - 
       (935591*s[58])/4752 + (917429*s[59])/4752 + (756167*s[60])/1056 - 
       (2155343*s[61])/42768 + s[73] - 3*s[79] + s[80] - 6*s[82] - 
       (3*s[83])/4 - (3*s[84])/2) + F1[u, v, w]*HPL[{1}, 1 - w]^3*
      ((3*s[2])/4 - (31*s[3])/8 - (2299*s[4])/48 - (95*s[5])/88 - 
       (19423*s[6])/528 - (142029*s[7])/352 + (293075*s[8])/4752 + 
       (8467*s[9])/27 + (8387*s[10])/108 + (1469531*s[11])/3168 + 
       (220739*s[12])/396 + (1068401*s[13])/3168 - (244837*s[14])/3168 + 
       (141187*s[15])/288 + (65845*s[16])/99 + (1307429*s[17])/3168 + 
       (38077*s[18])/648 + (96931*s[19])/1296 + (9716881*s[20])/14256 + 
       (5481461*s[21])/28512 - (5904733*s[22])/28512 - (288173*s[23])/396 - 
       (2984893*s[24])/7128 + (84450715*s[25])/128304 - 
       (37678975*s[26])/128304 + s[29] - s[30]/2 + s[31]/2 + s[32]/4 - 
       s[33]/4 + s[35]/2 + (5*s[36])/2 - (29*s[37])/12 - (229*s[38])/12 + 
       (1987*s[39])/24 - (2119*s[40])/24 + (817*s[41])/12 - (1451*s[42])/12 - 
       (16961*s[43])/264 + (19519*s[44])/264 - (8083*s[45])/132 + 
       (145687*s[46])/264 - (733*s[47])/22 + (1951*s[48])/264 + 
       (13737*s[49])/44 - (111461*s[50])/264 - (10475*s[51])/132 - 
       (1347*s[52])/22 + (58319*s[53])/198 - (919*s[54])/264 + 
       (1427431*s[55])/792 + (45821*s[56])/99 - (776945*s[57])/1188 + 
       (6344315*s[58])/7128 - (6512039*s[59])/7128 - (1748917*s[60])/396 + 
       (29225803*s[61])/128304 + s[65]/4 + s[66] - s[67] - s[68] - 2*s[69] + 
       s[70]/2 - s[71]/4 - s[72] + 2*s[73] + (3*s[74])/4 - (3*s[75])/4 - 
       s[77]/2 - 3*s[78] - 3*s[79] + (7*s[80])/6 - 6*s[82] - (3*s[83])/4 - 
       (3*s[84])/2) + HPL[{1}, 1 - w]^2*K1[u, v, w]*
      ((-3*s[2])/4 + (31*s[3])/8 + (729*s[4])/16 + (9*s[5])/8 + 
       (571*s[6])/16 + (37909*s[7])/96 - (25885*s[8])/432 - 
       (33163*s[9])/108 - (8309*s[10])/108 - (130933*s[11])/288 - 
       (39323*s[12])/72 - (95227*s[13])/288 + (21767*s[14])/288 - 
       (138403*s[15])/288 - (5867*s[16])/9 - (116611*s[17])/288 - 
       (36607*s[18])/648 - (97207*s[19])/1296 - (865643*s[20])/1296 - 
       (487303*s[21])/2592 + (525767*s[22])/2592 + (51137*s[23])/72 + 
       (133471*s[24])/324 - (7523867*s[25])/11664 + (3351791*s[26])/11664 - 
       s[29] + s[30]/2 - s[31]/2 - s[32]/4 + s[33]/4 - s[35]/2 - 
       (5*s[36])/2 + (35*s[37])/12 + (77*s[38])/4 - (653*s[39])/8 + 
       (697*s[40])/8 - (267*s[41])/4 + (475*s[42])/4 + (5619*s[43])/88 - 
       (6489*s[44])/88 + (7919*s[45])/132 - (143095*s[46])/264 + 
       (1064*s[47])/33 - (1487*s[48])/264 - (41027*s[49])/132 + 
       (36527*s[50])/88 + (10259*s[51])/132 + (3929*s[52])/66 - 
       (57347*s[53])/198 + (47*s[54])/264 - (467609*s[55])/264 - 
       (89227*s[56])/198 + (755405*s[57])/1188 - (6206711*s[58])/7128 + 
       (6392147*s[59])/7128 + (191451*s[60])/44 - (28506787*s[61])/128304 - 
       s[65]/4 - s[66] + s[67] + s[68] + 2*s[69] - s[70]/2 + s[71]/4 + 
       s[72] - 2*s[73] - (3*s[74])/4 + (3*s[75])/4 + s[77]/2 + 3*s[78] + 
       3*s[79] - (7*s[80])/6 + 6*s[82] + (3*s[83])/4 + (3*s[84])/2) + 
     HPL[{1}, 1 - u]^2*K1[u, v, w]*((-5*s[3])/8 + (7*s[4])/16 - 
       (1071*s[5])/88 - (3081*s[6])/176 - (33619*s[7])/352 + 
       (4117*s[8])/1584 + (773*s[9])/9 + (190*s[10])/9 + 
       (109561*s[11])/1056 + (27869*s[12])/264 + (67447*s[13])/1056 + 
       (42841*s[14])/1056 + (4021*s[15])/32 + (83279*s[16])/528 + 
       (150439*s[17])/1056 + (6029*s[18])/216 + (869*s[19])/432 + 
       (986807*s[20])/4752 + (955927*s[21])/9504 - (465887*s[22])/9504 - 
       (44113*s[23])/528 - (456541*s[24])/4752 + (4857821*s[25])/42768 - 
       (3674699*s[26])/42768 - s[32]/4 + (3*s[33])/4 + s[36]/2 + s[37]/2 - 
       (9*s[38])/2 + (139*s[39])/8 - (135*s[40])/8 + (97*s[41])/8 - 
       (197*s[42])/8 - (981*s[43])/88 + (1619*s[44])/176 - (653*s[45])/44 + 
       (9113*s[46])/88 - (2447*s[47])/176 + (1755*s[48])/176 + 
       (7605*s[49])/176 - (732*s[50])/11 - (8651*s[51])/528 - 
       (3203*s[52])/176 + (13433*s[53])/264 - (643*s[54])/44 + 
       (164419*s[55])/528 + (52157*s[56])/528 - (81953*s[57])/396 + 
       (948655*s[58])/4752 - (913933*s[59])/4752 - (742343*s[60])/1056 + 
       (2241763*s[61])/42768 - s[73] + 3*s[79] - s[80] + 6*s[82] + 
       (3*s[83])/4 + (3*s[84])/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      Phi6[u, v, w]*((-5*s[3])/4 + (71*s[4])/8 - (65*s[5])/4 - (191*s[6])/8 - 
       (1831*s[7])/48 - (33*s[8])/8 + 39*s[9] + (3*s[10])/2 + 
       (517*s[11])/16 + (57*s[12])/4 + (353*s[13])/48 + (1053*s[14])/16 + 
       (2639*s[15])/48 + (1369*s[16])/24 + (4705*s[17])/48 + 
       (1087*s[18])/36 - (1733*s[19])/72 + (7643*s[20])/72 + 
       (12779*s[21])/144 - (689*s[22])/48 - (437*s[23])/24 - (143*s[24])/24 + 
       (3793*s[25])/648 - (33799*s[26])/648 + s[29] - s[31] - s[32]/2 + 
       (3*s[33])/2 - (2*s[36])/3 + s[37]/6 + s[38] + (15*s[39])/2 - 
       (35*s[40])/6 + 3*s[41] - (91*s[42])/6 + (25*s[43])/6 - (65*s[44])/12 - 
       (101*s[45])/12 + (147*s[46])/4 - (767*s[47])/36 + (1045*s[48])/36 - 
       (1315*s[49])/36 - s[50]/3 - (379*s[51])/36 - (637*s[52])/36 + 
       (235*s[53])/12 - (117*s[54])/2 + (613*s[55])/6 + (3049*s[56])/36 - 
       (10835*s[57])/54 + (19201*s[58])/162 - (32399*s[59])/324 + 
       (2111*s[60])/27 + (130055*s[61])/2916 - s[68] + s[70] - 2*s[73] - 
       2*s[77] + 4*s[79] + s[80]/3 + 12*s[82] + (3*s[83])/2 + 3*s[84]) + 
     F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      ((-5*s[3])/4 + (11*s[4])/8 - (4971*s[5])/176 - (8265*s[6])/176 - 
       (2639*s[7])/11 + (48227*s[8])/4752 + (92725*s[9])/432 + 
       (21053*s[10])/432 + (414277*s[11])/1584 + (436943*s[12])/1584 + 
       (132029*s[13])/792 + (18521*s[14])/198 + (41573*s[15])/144 + 
       (298253*s[16])/792 + (31270*s[17])/99 + (99839*s[18])/1296 - 
       (2123*s[19])/324 + (3602141*s[20])/7128 + (3475975*s[21])/14256 - 
       (867109*s[22])/7128 - (211471*s[23])/792 - (760685*s[24])/3564 + 
       (74908847*s[25])/256608 - (55550243*s[26])/256608 + s[29] - s[31] - 
       s[32]/2 + (21*s[33])/8 - (7*s[36])/12 - (11*s[37])/8 - 11*s[38] + 
       (707*s[39])/16 - (2189*s[40])/48 + (487*s[41])/16 - (3085*s[42])/48 - 
       (14359*s[43])/528 + (25997*s[44])/1056 - (6433*s[45])/176 + 
       (68447*s[46])/264 - (118819*s[47])/3168 + (81887*s[48])/3168 + 
       (299785*s[49])/3168 - (10187*s[50])/66 - (144209*s[51])/3168 - 
       (161063*s[52])/3168 + (93997*s[53])/792 - (9707*s[54])/132 + 
       (257849*s[55])/352 + (868759*s[56])/3168 - (707963*s[57])/1188 + 
       (14888651*s[58])/28512 - (13868411*s[59])/28512 - 
       (31776265*s[60])/19008 + (8791055*s[61])/64152 - s[68] + s[70] - 
       2*s[73] - 2*s[77] + 4*s[79] + s[80]/4 + 15*s[82] + (3*s[83])/2 + 
       3*s[84]) + F1[w, u, v]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      ((-5*s[3])/4 - 9*s[4] - (845*s[5])/44 - (1889*s[6])/44 - 
       (19813*s[7])/88 + (4561*s[8])/297 + (21065*s[9])/108 + 
       (4423*s[10])/108 + (24929*s[11])/99 + (27154*s[12])/99 + 
       (33883*s[13])/198 + (5081*s[14])/99 + (19271*s[15])/72 + 
       (284947*s[16])/792 + (27905*s[17])/99 + (19597*s[18])/324 + 
       (362*s[19])/81 + (1571135*s[20])/3564 + (707327*s[21])/3564 - 
       (205955*s[22])/1782 - (233993*s[23])/792 - (1474901*s[24])/7128 + 
       (2424461*s[25])/8019 - (1571144*s[26])/8019 + s[29] - s[31] - 
       s[32]/2 + (3*s[33])/2 - (5*s[36])/6 - (19*s[37])/12 - 9*s[38] + 
       (361*s[39])/8 - (1159*s[40])/24 + (285*s[41])/8 - (1655*s[42])/24 - 
       (7001*s[43])/264 + (15823*s[44])/528 - (7907*s[45])/264 + 
       (8321*s[46])/33 - (56429*s[47])/1584 + (41449*s[48])/1584 + 
       (168143*s[49])/1584 - (10799*s[50])/66 - (77095*s[51])/1584 - 
       (73693*s[52])/1584 + (46813*s[53])/396 - (1495*s[54])/33 + 
       (124963*s[55])/176 + (132115*s[56])/528 - (82807*s[57])/132 + 
       (2434747*s[58])/4752 - (2290015*s[59])/4752 - (16004147*s[60])/9504 + 
       (2588401*s[61])/21384 - s[68] + s[70] - 2*s[73] - 2*s[77] + 
       (11*s[80])/6 + 15*s[82] + (3*s[83])/2 + 3*s[84]) + 
     G[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*(5*s[2] - (5*s[3])/4 + 
       (2051*s[4])/8 + (18213*s[5])/88 + (19663*s[6])/44 + 
       (2401969*s[7])/528 - (417163*s[8])/1188 - (837895*s[9])/216 - 
       (259925*s[10])/216 - (8037989*s[11])/1584 - (4448777*s[12])/792 - 
       (5423513*s[13])/1584 - (760451*s[14])/1584 - (866455*s[15])/144 - 
       (6058651*s[16])/792 - (9020141*s[17])/1584 - (475637*s[18])/648 - 
       (517087*s[19])/648 - (64313779*s[20])/7128 - (46099739*s[21])/14256 + 
       (34539385*s[22])/14256 + (3912467*s[23])/792 + (37110911*s[24])/7128 - 
       (835246121*s[25])/128304 + (451261913*s[26])/128304 + s[29] + s[31] - 
       s[32]/2 - (3*s[33])/2 - 3*s[34] - 10*s[35] - (70*s[36])/3 + 
       (365*s[37])/12 + (423*s[38])/2 - (2783*s[39])/4 + (9181*s[40])/12 - 
       (1139*s[41])/2 + (2816*s[42])/3 + (8029*s[43])/12 - (16001*s[44])/24 + 
       (15623*s[45])/24 - (123463*s[46])/24 + (11605*s[47])/72 + 
       (13147*s[48])/72 - (218491*s[49])/72 + (11839*s[50])/3 + 
       (43421*s[51])/72 + (37067*s[52])/72 - (192305*s[53])/72 - 
       (1169*s[54])/12 - (411097*s[55])/24 - (101041*s[56])/24 + 
       (80945*s[57])/18 - (15949*s[58])/2 + (593827*s[59])/72 + 
       (9452159*s[60])/216 - (7870285*s[61])/3888 - s[68] + s[70] + s[71]/2 - 
       2*s[73] - 2*s[76] - s[77] + 6*s[78] + 38*s[79] - (7*s[80])/6 + 
       66*s[82] + (3*s[83])/2 + 3*s[84]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*((-27*s[2])/2 - 7*s[3] - 
       (1247*s[4])/2 - (11631*s[5])/22 - (55177*s[6])/44 - 
       (9006541*s[7])/792 + (1042039*s[8])/1188 + (260882*s[9])/27 + 
       (332671*s[10])/108 + (4934387*s[11])/396 + (10740725*s[12])/792 + 
       (714089*s[13])/88 + (1370995*s[14])/792 + (363043*s[15])/24 + 
       (633572*s[16])/33 + (2950205*s[17])/198 + (691117*s[18])/324 + 
       (528431*s[19])/324 + (81806573*s[20])/3564 + (59938465*s[21])/7128 - 
       (42768419*s[22])/7128 - (1105139*s[23])/88 - (88727885*s[24])/7128 + 
       (503694887*s[25])/32076 - (281214149*s[26])/32076 - s[29] - 3*s[31] + 
       s[32]/2 + 4*s[34] + 4*s[35] + (121*s[36])/6 - (107*s[37])/3 - 
       (759*s[38])/2 + (11941*s[39])/8 - (40771*s[40])/24 + (10659*s[41])/8 - 
       (51077*s[42])/24 - (370169*s[43])/264 + (767599*s[44])/528 - 
       (229223*s[45])/132 + (1137799*s[46])/88 - (665681*s[47])/1584 - 
       (620075*s[48])/1584 + (10028099*s[49])/1584 - (329287*s[50])/33 - 
       (2341183*s[51])/1584 - (1875469*s[52])/1584 + (1824965*s[53])/264 - 
       (7021*s[54])/44 + (23421485*s[55])/528 + (18646465*s[56])/1584 - 
       (11459845*s[57])/1188 + (281053811*s[58])/14256 - 
       (283985705*s[59])/14256 - (1017992753*s[60])/9504 + 
       (743171039*s[61])/128304 - s[68] + 2*s[69] - 5*s[70] + s[71] - 
       4*s[72] + 2*s[73] + 5*s[74] - 5*s[75] + 6*s[76] + 4*s[77] - 3*s[78] - 
       154*s[79] + (116*s[80])/3 - 270*s[82] - (3*s[83])/2 - 63*s[84] - 
       80*s[85]) + F1[u, v, w]*HPL[{0, 1, 1}, 1 - u]*
      (-5*s[2] + 3*s[3] - (1249*s[4])/4 - (14303*s[5])/44 - (7477*s[6])/11 - 
       (618913*s[7])/99 + (135625*s[8])/297 + (289849*s[9])/54 + 
       (187309*s[10])/108 + (2686655*s[11])/396 + (2888641*s[12])/396 + 
       (427939*s[13])/99 + (453635*s[14])/396 + (152161*s[15])/18 + 
       (4194559*s[16])/396 + (368945*s[17])/44 + (101461*s[18])/81 + 
       (130489*s[19])/162 + (11476382*s[20])/891 + (8624461*s[21])/1782 - 
       (11792929*s[22])/3564 - (2697851*s[23])/396 - (24123295*s[24])/3564 + 
       (67480646*s[25])/8019 - (38890985*s[26])/8019 - 2*s[29] + s[30] - 
       4*s[31] - 3*s[32] - (7*s[33])/4 + s[34] + 6*s[35] + (8*s[36])/3 - 
       (41*s[37])/3 - 196*s[38] + 785*s[39] - (2717*s[40])/3 + 719*s[41] - 
       (3385*s[42])/3 - (24037*s[43])/33 + (50393*s[44])/66 - 
       (63541*s[45])/66 + (154447*s[46])/22 - (94289*s[47])/396 - 
       (70661*s[48])/396 + (1302347*s[49])/396 - (359609*s[50])/66 - 
       (319681*s[51])/396 - (125417*s[52])/198 + (124715*s[53])/33 - 
       (722*s[54])/11 + (3222257*s[55])/132 + (2580337*s[56])/396 - 
       (1521097*s[57])/297 + (38226119*s[58])/3564 - (38503967*s[59])/3564 - 
       (138220955*s[60])/2376 + (102950345*s[61])/32076 - s[65] - 2*s[66] + 
       4*s[67] + 8*s[69] - 2*s[70] + s[71] - 8*s[73] + 2*s[74] - 2*s[75] + 
       2*s[76] - 2*s[77] + 4*s[78] - 96*s[79] + (80*s[80])/3 - 228*s[82] + 
       3*s[83] - 42*s[84] - 72*s[85]) + F1[w, u, v]*HPL[{0, 1, 1}, 1 - w]*
      ((-29*s[2])/2 - (53*s[3])/4 - (3137*s[4])/8 - (793*s[5])/2 - 
       (7553*s[6])/8 - (391759*s[7])/48 + (124799*s[8])/216 + 
       (374597*s[9])/54 + (256097*s[10])/108 + (1281695*s[11])/144 + 
       (343549*s[12])/36 + (820649*s[13])/144 + (229907*s[14])/144 + 
       (1585889*s[15])/144 + (502253*s[16])/36 + (1608521*s[17])/144 + 
       (122900*s[18])/81 + (810233*s[19])/648 + (10875895*s[20])/648 + 
       (8070173*s[21])/1296 - (5563825*s[22])/1296 - (288073*s[23])/36 - 
       (1483313*s[24])/162 + (64450207*s[25])/5832 - (36750835*s[26])/5832 + 
       2*s[30] - 2*s[31] + (9*s[33])/4 - 2*s[34] + 7*s[35] + (16*s[36])/3 - 
       (41*s[37])/3 - 250*s[38] + (3885*s[39])/4 - (13375*s[40])/12 + 
       (3537*s[41])/4 - (16421*s[42])/12 - (127217*s[43])/132 + 
       (32321*s[44])/33 - (39767*s[45])/33 + (1166863*s[46])/132 - 
       (88453*s[47])/396 - (74603*s[48])/198 + (1726159*s[49])/396 - 
       (226766*s[50])/33 - (93722*s[51])/99 - (295595*s[52])/396 + 
       (942085*s[53])/198 + (281*s[54])/66 + (2020427*s[55])/66 + 
       (1055891*s[56])/132 - (717725*s[57])/132 + (15598679*s[58])/1188 - 
       (7916269*s[59])/594 - (176111761*s[60])/2376 + 
       (85112825*s[61])/21384 - 6*s[70] + s[71] - 2*s[72] + 2*s[73] + 
       (3*s[74])/2 - (3*s[75])/2 + 2*s[76] + 5*s[77] - 104*s[79] + 
       (98*s[80])/3 - 228*s[82] + 3*s[83] - 42*s[84] - 72*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*Phi6[u, v, w]*
      ((-37*s[2])/4 - (223*s[3])/8 - (6237*s[4])/16 - (31983*s[5])/88 - 
       (150245*s[6])/176 - (23709281*s[7])/3168 + (2693171*s[8])/4752 + 
       (684601*s[9])/108 + (113131*s[10])/54 + (25842167*s[11])/3168 + 
       (870575*s[12])/99 + (1843405*s[13])/352 + (4135883*s[14])/3168 + 
       (322927*s[15])/32 + (1681231*s[16])/132 + (32028961*s[17])/3168 + 
       (460997*s[18])/324 + (1430623*s[19])/1296 + (217317631*s[20])/14256 + 
       (160495649*s[21])/28512 - (111808297*s[22])/28512 - 
       (173739*s[23])/22 - (58967311*s[24])/7128 + (1310523499*s[25])/
        128304 - (741539683*s[26])/128304 + s[30]/2 - 2*s[31] + 
       (15*s[33])/4 - s[34]/2 + (3*s[35])/2 + (25*s[36])/2 - 22*s[37] - 
       (469*s[38])/2 + 907*s[39] - (2037*s[40])/2 + (3165*s[41])/4 - 
       (2577*s[42])/2 - (9226*s[43])/11 + (150621*s[44])/176 - 
       (23373*s[45])/22 + (171607*s[46])/22 - (49407*s[47])/176 - 
       (33127*s[48])/176 + (660909*s[49])/176 - (65774*s[50])/11 - 
       (157423*s[51])/176 - (128599*s[52])/176 + (1101329*s[53])/264 - 
       (1778*s[54])/11 + (14126165*s[55])/528 + (3776789*s[56])/528 - 
       (4758055*s[57])/792 + (56947051*s[58])/4752 - (57461131*s[59])/4752 - 
       (67805059*s[60])/1056 + (75520403*s[61])/21384 - 2*s[68] + 2*s[69] - 
       s[70] + s[71]/2 - 3*s[72] - s[73] + (11*s[74])/4 - (11*s[75])/4 + 
       5*s[76] - s[77]/2 - 3*s[78] - 74*s[79] + 16*s[80] - 248*s[82] - 
       48*s[84] - 70*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      Phi6[u, v, w]*((-33*s[2])/2 - (145*s[3])/4 - (2165*s[4])/4 - 
       (5462*s[5])/11 - (26781*s[6])/22 - (1859183*s[7])/176 + 
       (467057*s[8])/594 + (1930891*s[9])/216 + (81643*s[10])/27 + 
       (18201311*s[11])/1584 + (2442527*s[12])/198 + (11639681*s[13])/1584 + 
       (3034949*s[14])/1584 + (2056555*s[15])/144 + (3571999*s[16])/198 + 
       (22834679*s[17])/1584 + (1287887*s[18])/648 + (1026163*s[19])/648 + 
       (153818149*s[20])/7128 + (113294315*s[21])/14256 - 
       (78977047*s[22])/14256 - (1074880*s[23])/99 - (20899079*s[24])/1782 + 
       (1842364967*s[25])/128304 - (1041969155*s[26])/128304 - (3*s[30])/2 - 
       3*s[31] + s[32] + s[33]/8 - (3*s[34])/2 + (5*s[35])/2 + 
       (203*s[36])/12 - (143*s[37])/6 - (1069*s[38])/4 + (17061*s[39])/16 - 
       (58235*s[40])/48 + (15243*s[41])/16 - (73033*s[42])/48 - 
       (535201*s[43])/528 + (1093913*s[44])/1056 - (345821*s[45])/264 + 
       (5049749*s[46])/528 - (952735*s[47])/3168 - (928249*s[48])/3168 + 
       (14399845*s[49])/3168 - (973267*s[50])/132 - (3341141*s[51])/3168 - 
       (2694119*s[52])/3168 + (4073045*s[53])/792 - (18409*s[54])/132 + 
       (34887859*s[55])/1056 + (9323893*s[56])/1056 - (2656081*s[57])/396 + 
       (45925433*s[58])/3168 - (15454013*s[59])/1056 - 
       (1503428659*s[60])/19008 + (372934649*s[61])/85536 - 2*s[68] + 
       2*s[69] - 3*s[70] + s[71]/2 - 3*s[72] - s[73]/2 + (13*s[74])/4 - 
       (13*s[75])/4 + 6*s[76] - (3*s[77])/2 - (5*s[78])/2 - 107*s[79] + 
       (161*s[80])/6 - 248*s[82] - 48*s[84] - 70*s[85]) + 
     F1[u, v, w]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*((5*s[2])/2 - 14*s[3] - 
       (2995*s[4])/8 - (18261*s[5])/88 - (6264*s[6])/11 - 
       (4247695*s[7])/792 + (628643*s[8])/1188 + (241313*s[9])/54 + 
       (278359*s[10])/216 + (2370211*s[11])/396 + (5345053*s[12])/792 + 
       (3202801*s[13])/792 + (125137*s[14])/396 + (494351*s[15])/72 + 
       (7069273*s[16])/792 + (284349*s[17])/44 + (318341*s[18])/324 + 
       (251113*s[19])/324 + (36892951*s[20])/3564 + (26009525*s[21])/7128 - 
       (5008723*s[22])/1782 - (5614529*s[23])/792 - (40924645*s[24])/7128 + 
       (249660295*s[25])/32076 - (132370279*s[26])/32076 + 5*s[29] - 
       (5*s[30])/2 + 5*s[31] - s[32] + (45*s[33])/8 - (9*s[34])/2 + 4*s[35] + 
       (47*s[36])/3 - (70*s[37])/3 - 226*s[38] + (3501*s[39])/4 - 
       (11579*s[40])/12 + (2963*s[41])/4 - (14935*s[42])/12 - 
       (99589*s[43])/132 + (211613*s[44])/264 - (57311*s[45])/66 + 
       (888089*s[46])/132 - (124889*s[47])/396 - (15733*s[48])/198 + 
       (1371773*s[49])/396 - (675247*s[50])/132 - (84706*s[51])/99 - 
       (549611*s[52])/792 + (701693*s[53])/198 - (5603*s[54])/66 + 
       (2966107*s[55])/132 + (788219*s[56])/132 - (651064*s[57])/99 + 
       (2110783*s[58])/198 - (2130863*s[59])/198 - (130167821*s[60])/2376 + 
       (63025805*s[61])/21384 + s[65]/2 + 2*s[66] - 2*s[67] - 4*s[68] - 
       3*s[69] - 2*s[70] - s[71]/2 - 4*s[72] + 4*s[73] + 4*s[74] - 4*s[75] + 
       4*s[76] - s[77] - 8*s[78] - 50*s[79] + (34*s[80])/3 - 126*s[82] - 
       (3*s[83])/2 - 27*s[84] - 36*s[85]) + F1[w, u, v]*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*((-15*s[2])/4 - (39*s[3])/8 - (4183*s[4])/16 - 
       (617*s[5])/4 - (7175*s[6])/16 - (410437*s[7])/96 + (47623*s[8])/144 + 
       (64931*s[9])/18 + (86929*s[10])/72 + (452191*s[11])/96 + 
       (123971*s[12])/24 + (99339*s[13])/32 + (56539*s[14])/96 + 
       (542729*s[15])/96 + (57965*s[16])/8 + (530969*s[17])/96 + 
       (78971*s[18])/108 + (309181*s[19])/432 + (3717467*s[20])/432 + 
       (2612509*s[21])/864 - (1954433*s[22])/864 - (35835*s[23])/8 - 
       (130816*s[24])/27 + (23321675*s[25])/3888 - (12593135*s[26])/3888 - 
       s[29] + s[30] + 2*s[31] - s[32]/2 + s[33]/8 - 6*s[34] + (3*s[35])/2 - 
       (79*s[37])/6 - (287*s[38])/2 + (4309*s[39])/8 - (5093*s[40])/8 + 
       (4087*s[41])/8 - (6065*s[42])/8 - (48107*s[43])/88 + 
       (49887*s[44])/88 - (84581*s[45])/132 + (1273621*s[46])/264 - 
       (4287*s[47])/44 - (22291*s[48])/88 + (109353*s[49])/44 - 
       (167633*s[50])/44 - (47507*s[51])/88 - (9103*s[52])/22 + 
       (1011379*s[53])/396 + (2495*s[54])/33 + (4373987*s[55])/264 + 
       (1687277*s[56])/396 - (7302067*s[57])/2376 + (25564633*s[58])/3564 - 
       (51710279*s[59])/7128 - (16303733*s[60])/396 + 
       (267384841*s[61])/128304 - s[65]/2 - s[66] + 2*s[67] + 3*s[68] + 
       3*s[69] - 4*s[70] + s[71] + s[72] - s[73] + (3*s[74])/4 - 
       (3*s[75])/4 + (7*s[77])/2 + 4*s[78] - 94*s[79] + (86*s[80])/3 - 
       126*s[82] - (3*s[83])/2 - 27*s[84] - 36*s[85]) + 
     F1[u, v, w]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*(s[2] + (67*s[3])/4 - 
       133*s[4] - (5185*s[5])/44 - (2713*s[6])/11 - (4010165*s[7])/1584 + 
       (20063*s[8])/99 + (157523*s[9])/72 + (6218*s[10])/9 + 
       (485489*s[11])/176 + (396809*s[12])/132 + (2791411*s[13])/1584 + 
       (70879*s[14])/176 + (486953*s[15])/144 + (422545*s[16])/99 + 
       (5224745*s[17])/1584 + (3793*s[18])/8 + (24823*s[19])/72 + 
       (1371641*s[20])/264 + (9001283*s[21])/4752 - (6426611*s[22])/4752 - 
       (1095335*s[23])/396 - (3295109*s[24])/1188 + (147728495*s[25])/42768 - 
       (82865927*s[26])/42768 + s[29] - s[30]/2 - s[32] + (35*s[33])/8 - 
       (9*s[34])/2 + 2*s[35] + (31*s[36])/6 - (59*s[37])/12 - 86*s[38] + 
       (2751*s[39])/8 - (9625*s[40])/24 + (2611*s[41])/8 - (11873*s[42])/24 - 
       (86435*s[43])/264 + (181585*s[44])/528 - (115147*s[45])/264 + 
       (139047*s[46])/44 - (148637*s[47])/1584 - (144611*s[48])/1584 + 
       (2372759*s[49])/1584 - (330811*s[50])/132 - (573835*s[51])/1584 - 
       (429739*s[52])/1584 + (37795*s[53])/22 + (961*s[54])/22 + 
       (1956775*s[55])/176 + (4586617*s[56])/1584 - (599800*s[57])/297 + 
       (67537805*s[58])/14256 - (68394857*s[59])/14256 - 
       (252852179*s[60])/9504 + (22998985*s[61])/16038 - s[65]/2 - s[66] + 
       2*s[67] + 4*s[69] - 3*s[70] + s[71]/2 - 4*s[73] + s[74] - s[75] + 
       s[76] + 3*s[77] + 2*s[78] - 50*s[79] + (67*s[80])/6 - 114*s[82] - 
       24*s[84] - 36*s[85]) + F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-9*s[2])/4 - (3*s[3])/8 - (4135*s[4])/16 - (15101*s[5])/88 - 
       (81603*s[6])/176 - (1521029*s[7])/352 + (1686169*s[8])/4752 + 
       (785419*s[9])/216 + (64499*s[10])/54 + (15067639*s[11])/3168 + 
       (2064547*s[12])/396 + (9863317*s[13])/3168 + (1850503*s[14])/3168 + 
       (1647383*s[15])/288 + (1450459*s[16])/198 + (17861845*s[17])/3168 + 
       (490277*s[18])/648 + (909323*s[19])/1296 + (123541043*s[20])/14256 + 
       (87906157*s[21])/28512 - (64904405*s[22])/28512 - 
       (1832515*s[23])/396 - (34470353*s[24])/7128 + (387914419*s[25])/
        64152 - (211076713*s[26])/64152 + 3*s[29] + 3*s[31] - s[32]/2 + 
       (9*s[33])/8 - 6*s[34] + (5*s[35])/2 + 9*s[36] - 9*s[37] - 150*s[38] + 
       (4627*s[39])/8 - (5275*s[40])/8 + (4239*s[41])/8 - (6545*s[42])/8 - 
       (48685*s[43])/88 + (50715*s[44])/88 - (29533*s[45])/44 + 
       (443941*s[46])/88 - (4811*s[47])/33 - (50269*s[48])/264 + 
       (168379*s[49])/66 - (43480*s[50])/11 - (50397*s[51])/88 - 
       (58225*s[52])/132 + (119337*s[53])/44 + (3627*s[54])/44 + 
       (4588127*s[55])/264 + (293789*s[56])/66 - (2640239*s[57])/792 + 
       (8932313*s[58])/1188 - (18177781*s[59])/2376 - (33493787*s[60])/792 + 
       (94836821*s[61])/42768 + s[66] - s[68] - s[69] - 2*s[70] + s[71]/2 - 
       s[72] + s[73] + (9*s[74])/4 - (9*s[75])/4 + 2*s[76] - (3*s[77])/2 - 
       2*s[78] - 64*s[79] + 15*s[80] - 114*s[82] - 24*s[84] - 36*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*Phi6[u, v, w]*
      (-6*s[2] - (69*s[3])/4 - (1561*s[4])/8 - (18825*s[5])/88 - 
       (10919*s[6])/22 - (2229985*s[7])/528 + (110647*s[8])/396 + 
       (259057*s[9])/72 + (88073*s[10])/72 + (2442479*s[11])/528 + 
       (1311041*s[12])/264 + (1569439*s[13])/528 + (450173*s[14])/528 + 
       (271069*s[15])/48 + (1902251*s[16])/264 + (1013909*s[17])/176 + 
       (170309*s[18])/216 + (142969*s[19])/216 + (20676121*s[20])/2376 + 
       (15336857*s[21])/4752 - (10548199*s[22])/4752 - (1047361*s[23])/264 - 
       (11293847*s[24])/2376 + (245282819*s[25])/42768 - 
       (139709543*s[26])/42768 + s[30] - 2*s[31] + (13*s[33])/4 + s[34] + 
       2*s[35] + (17*s[36])/6 - (16*s[37])/3 - (259*s[38])/2 + 
       (3773*s[39])/8 - (12875*s[40])/24 + (3371*s[41])/8 - 
       (15541*s[42])/24 - (126529*s[43])/264 + (252743*s[44])/528 - 
       (85495*s[45])/132 + (398215*s[46])/88 - (151033*s[47])/1584 - 
       (378403*s[48])/1584 + (3460147*s[49])/1584 - (230305*s[50])/66 - 
       (705431*s[51])/1584 - (577301*s[52])/1584 + (636917*s[53])/264 + 
       (1283*s[54])/44 + (2747615*s[55])/176 + (6514793*s[56])/1584 - 
       (736619*s[57])/297 + (95033227*s[58])/14256 - (95584009*s[59])/14256 - 
       (360805177*s[60])/9504 + (266646751*s[61])/128304 - 4*s[70] + s[71] + 
       s[74] - s[75] + 2*s[76] + 2*s[77] + s[78] - 32*s[79] + (28*s[80])/3 - 
       114*s[82] + (3*s[83])/2 - 21*s[84] - 36*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*Phi6[u, v, w]*
      ((5*s[2])/2 - (21*s[3])/4 - (1177*s[4])/8 - (11175*s[5])/88 - 
       (3108*s[6])/11 - (1339517*s[7])/528 + (222295*s[8])/1188 + 
       (471145*s[9])/216 + (142511*s[10])/216 + (4364999*s[11])/1584 + 
       (1176775*s[12])/396 + (2801189*s[13])/1584 + (662999*s[14])/1584 + 
       (496471*s[15])/144 + (3386293*s[16])/792 + (5328623*s[17])/1584 + 
       (318731*s[18])/648 + (210619*s[19])/648 + (36918373*s[20])/7128 + 
       (27423731*s[21])/14256 - (19146109*s[22])/14256 - (289123*s[23])/99 - 
       (9691279*s[24])/3564 + (443258609*s[25])/128304 - 
       (252089069*s[26])/128304 - s[29] - s[30] - s[31] - 2*s[32] - 
       (5*s[33])/4 + s[34] + 2*s[35] + (7*s[36])/3 - (29*s[37])/6 - 
       74*s[38] + (647*s[39])/2 - (2285*s[40])/6 + (611*s[41])/2 - 
       (1427*s[42])/3 - (19717*s[43])/66 + (42311*s[44])/132 - 
       (54325*s[45])/132 + (131671*s[46])/44 - (80177*s[47])/792 - 
       (58133*s[48])/792 + (1063991*s[49])/792 - (306689*s[50])/132 - 
       (272341*s[51])/792 - (105329*s[52])/396 + (53371*s[53])/33 - 
       (556*s[54])/11 + (2759885*s[55])/264 + (2260981*s[56])/792 - 
       (1318453*s[57])/594 + (32730575*s[58])/7128 - (32770607*s[59])/7128 - 
       (117206495*s[60])/4752 + (89801813*s[61])/64152 - s[65]/2 - s[66] + 
       2*s[67] + 4*s[69] - s[70] + s[71]/2 - 4*s[73] + s[74] - s[75] + 
       s[76] - s[77] + 2*s[78] - 48*s[79] + (40*s[80])/3 - 114*s[82] + 
       (3*s[83])/2 - 21*s[84] - 36*s[85]) + F1[v, w, u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*((-3*s[2])/2 + (89*s[4])/4 - (49*s[5])/2 - 
       (19*s[6])/4 - (785*s[7])/8 - (1105*s[8])/108 + (11549*s[9])/108 + 
       (2825*s[10])/54 + (7355*s[11])/72 + (2897*s[12])/36 + 
       (2387*s[13])/72 + (6641*s[14])/72 + (12773*s[15])/72 + 
       (6865*s[16])/36 + (14921*s[17])/72 + (2371*s[18])/81 + 
       (5765*s[19])/324 + (98839*s[20])/324 + (105431*s[21])/648 - 
       (35911*s[22])/648 + (1129*s[23])/9 - (11243*s[24])/81 + 
       (54163*s[25])/729 - (72424*s[26])/729 - s[31] - s[33]/4 + 6*s[36] + 
       (17*s[37])/6 - 10*s[38] + (13*s[39])/2 + (5*s[40])/2 - (13*s[41])/2 + 
       6*s[42] - (35*s[43])/2 + (9*s[44])/4 - (173*s[45])/6 + (292*s[46])/3 + 
       (25*s[47])/4 - (73*s[48])/4 + (365*s[49])/4 - (149*s[50])/2 + 
       (45*s[51])/4 + (13*s[52])/4 + (1009*s[53])/18 + (265*s[54])/3 + 
       (4717*s[55])/12 + (541*s[56])/36 + (16403*s[57])/108 + 
       (33929*s[58])/324 - (42677*s[59])/324 - (68483*s[60])/72 + 
       (118703*s[61])/2916 - s[68] - s[69] + s[76] - s[77] + 2*s[78] + 
       22*s[79] - (34*s[80])/3 - 34*s[82] - 12*s[84] - 14*s[85]) + 
     F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((13*s[2])/4 - (35*s[3])/8 - (2781*s[4])/16 - (9709*s[5])/88 - 
       (50313*s[6])/176 - (2951423*s[7])/1056 + (1036235*s[8])/4752 + 
       (255229*s[9])/108 + (84269*s[10])/108 + (9714647*s[11])/3168 + 
       (1320365*s[12])/396 + (6285965*s[13])/3168 + (1072259*s[14])/3168 + 
       (1083835*s[15])/288 + (3758087*s[16])/792 + (11708897*s[17])/3168 + 
       (77851*s[18])/162 + (621619*s[19])/1296 + (79907419*s[20])/14256 + 
       (56776793*s[21])/28512 - (42058873*s[22])/28512 - 
       (2433553*s[23])/792 - (5550355*s[24])/1782 + (500710999*s[25])/
        128304 - (272180011*s[26])/128304 + s[30]/2 + 3*s[31] - (5*s[32])/2 + 
       (5*s[33])/2 - (3*s[34])/2 - (3*s[35])/2 + (31*s[36])/4 - 
       (41*s[37])/6 - (225*s[38])/4 + (3307*s[39])/16 - (3783*s[40])/16 + 
       (3113*s[41])/16 - (4713*s[42])/16 - (34021*s[43])/176 + 
       (72037*s[44])/352 - (55307*s[45])/264 + (884803*s[46])/528 - 
       (51223*s[47])/1056 - (47593*s[48])/1056 + (956845*s[49])/1056 - 
       (59773*s[50])/44 - (218653*s[51])/1056 - (161771*s[52])/1056 + 
       (719749*s[53])/792 + (3295*s[54])/33 + (6098585*s[55])/1056 + 
       (4369589*s[56])/3168 - (1396165*s[57])/1188 + (71120323*s[58])/28512 - 
       (73375957*s[59])/28512 - (90161003*s[60])/6336 + 
       (177190333*s[61])/256608 - 2*s[68] - s[70] + s[71]/2 - s[72] + 
       s[73]/2 + (3*s[74])/4 - (3*s[75])/4 - 3*s[76] - s[77]/2 + s[78]/2 - 
       33*s[79] + (47*s[80])/6 - 34*s[82] - 12*s[84] - 14*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*Phi6[u, v, w]*
      ((33*s[4])/2 + (17*s[5])/4 + 27*s[6] + (4003*s[7])/24 - (269*s[8])/12 - 
       (1583*s[9])/12 - (185*s[10])/6 - (739*s[11])/4 - (1637*s[12])/8 - 
       (3227*s[13])/24 - (105*s[14])/8 - (5713*s[15])/24 - (3295*s[16])/12 - 
       (662*s[17])/3 - (175*s[18])/12 - (131*s[19])/4 - (889*s[20])/3 - 
       (6631*s[21])/72 + (6115*s[22])/72 + (5023*s[23])/24 + 
       (13975*s[24])/72 - (20696*s[25])/81 + (10022*s[26])/81 + 2*s[36] + 
       8*s[37] - 21*s[39] + 29*s[40] - 21*s[41] + 36*s[42] + (151*s[43])/11 - 
       (1979*s[44])/88 + (119*s[45])/22 - (2317*s[46])/22 + 
       (4079*s[47])/264 + (1703*s[48])/264 - (14657*s[49])/264 + 
       (1363*s[50])/22 + (9199*s[51])/264 + (3451*s[52])/264 - 
       (1570*s[53])/33 + (1367*s[54])/22 - (66703*s[55])/264 - 
       (34955*s[56])/264 + (117367*s[57])/396 - (484339*s[58])/2376 + 
       (433489*s[59])/2376 + (1165031*s[60])/1584 - (973777*s[61])/21384 + 
       12*s[79] - 8*s[80] - 28*s[82] - 8*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*Phi6[u, v, w]*
      (4*s[2] - (27*s[3])/2 - (45*s[4])/4 - (903*s[5])/44 - (2185*s[6])/44 - 
       (47249*s[7])/132 + (932*s[8])/99 + (10261*s[9])/36 + (1757*s[10])/9 + 
       (90383*s[11])/264 + (73153*s[12])/264 + (4133*s[13])/33 + 
       (30181*s[14])/132 + (1357*s[15])/2 + (25346*s[16])/33 + 
       (74257*s[17])/88 + (5051*s[18])/108 + (7193*s[19])/54 + 
       (1093093*s[20])/1188 + (429067*s[21])/1188 - (204647*s[22])/1188 + 
       (24829*s[23])/264 - (1313809*s[24])/2376 + (971860*s[25])/2673 - 
       (1469753*s[26])/5346 + 4*s[31] + (3*s[33])/2 - 8*s[34] + s[36] + 
       16*s[37] + 2*s[38] - (61*s[39])/4 + (49*s[40])/4 + (11*s[41])/4 + 
       (109*s[42])/4 - (829*s[43])/44 + (127*s[44])/11 - (455*s[45])/11 + 
       (8579*s[46])/44 + (3331*s[47])/66 - (9343*s[48])/132 + 
       (3457*s[49])/33 - (4569*s[50])/22 + (3185*s[51])/132 + 
       (3481*s[52])/132 + (7067*s[53])/44 + (2157*s[54])/22 + 
       (149371*s[55])/132 + (5144*s[56])/33 + (343639*s[57])/396 + 
       (23863*s[58])/1188 - (160411*s[59])/1188 - (869969*s[60])/396 + 
       (1171573*s[61])/10692 + 2*s[68] - 2*s[69] - 4*s[76] + 2*s[77] + 
       2*s[78] + 8*s[79] - 2*s[80] - 28*s[82] - 8*s[85]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      ((3*s[2])/2 + (27*s[3])/8 + (25*s[4])/16 + (31*s[5])/11 + 
       (1899*s[6])/176 + (52907*s[7])/1056 + (22553*s[8])/4752 - 
       (8791*s[9])/216 - (7895*s[10])/216 - (118513*s[11])/3168 - 
       (8849*s[12])/792 + (6881*s[13])/3168 - (182065*s[14])/3168 - 
       (33419*s[15])/288 - (184703*s[16])/1584 - (498187*s[17])/3168 - 
       (718*s[18])/81 - (22841*s[19])/1296 - (2169005*s[20])/14256 - 
       (1848391*s[21])/28512 + (617459*s[22])/28512 - (96539*s[23])/1584 + 
       (1111333*s[24])/14256 - (1771093*s[25])/64152 + (301247*s[26])/8019 + 
       (3*s[33])/4 + (3*s[35])/2 + (3*s[36])/2 - (71*s[37])/12 - 
       (15*s[38])/4 + (135*s[39])/8 - (139*s[40])/8 + (19*s[41])/2 - 
       (49*s[42])/2 - (689*s[43])/88 + (593*s[44])/44 + (211*s[45])/132 + 
       (9859*s[46])/264 - (7505*s[47])/528 + (6025*s[48])/528 + 
       (25463*s[49])/528 - (1151*s[50])/44 - (6557*s[51])/528 - 
       (2711*s[52])/264 + (3217*s[53])/396 + (2887*s[54])/264 + 
       (12811*s[55])/528 + (15815*s[56])/1584 - (594283*s[57])/2376 + 
       (1546873*s[58])/14256 - (1424941*s[59])/14256 - (308743*s[60])/1056 + 
       (36389*s[61])/64152 + s[66]/2 - s[68]/2 - s[71]/4 - s[77] - 
       (3*s[78])/2 - 2*s[79] + (13*s[80])/6 - 8*s[82] + 2*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      ((7*s[2])/4 - (75*s[4])/8 - (15*s[5])/8 - (97*s[6])/8 - (769*s[7])/8 + 
       (455*s[8])/36 + (2795*s[9])/36 + (805*s[10])/36 + (5431*s[11])/48 + 
       (6083*s[12])/48 + (2027*s[13])/24 - (2*s[14])/3 + (1693*s[15])/12 + 
       (4013*s[16])/24 + (6211*s[17])/48 - s[18]/216 + (3617*s[19])/108 + 
       (37103*s[20])/216 + (5557*s[21])/108 - (2749*s[22])/54 - 
       (4697*s[23])/48 - (58553*s[24])/432 + (76523*s[25])/486 - 
       (71029*s[26])/972 - s[29] - s[31]/2 + (27*s[33])/8 - s[34]/2 + 
       (3*s[35])/2 + (5*s[36])/4 - (10*s[37])/3 - (15*s[38])/4 + 
       (317*s[39])/16 - (385*s[40])/16 + (275*s[41])/16 - (455*s[42])/16 - 
       (3691*s[43])/176 + (8883*s[44])/352 - (2951*s[45])/264 + 
       (69961*s[46])/528 - (2245*s[47])/1056 - (16963*s[48])/1056 + 
       (111103*s[49])/1056 - (4799*s[50])/44 - (18143*s[51])/1056 - 
       (7421*s[52])/1056 + (115859*s[53])/1584 + (4553*s[54])/264 + 
       (465779*s[55])/1056 + (300167*s[56])/3168 - (223019*s[57])/2376 + 
       (5238181*s[58])/28512 - (5943799*s[59])/28512 - (7970045*s[60])/6336 + 
       (10338721*s[61])/256608 + s[66]/2 + (3*s[68])/2 - s[69] - s[71]/4 - 
       s[76]/2 - s[77] - 5*s[79] + (17*s[80])/6 - 8*s[82] + 2*s[85]) + 
     F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      (-11*s[3] - (301*s[4])/4 - (771*s[5])/44 - (2099*s[6])/22 - 
       (97783*s[7])/132 + (62869*s[8])/594 + (62671*s[9])/108 + 
       (13145*s[10])/108 + (677753*s[11])/792 + (405635*s[12])/396 + 
       (493949*s[13])/792 - (67855*s[14])/792 + (15307*s[15])/18 + 
       (942737*s[16])/792 + (592193*s[17])/792 + (48641*s[18])/324 + 
       (26515*s[19])/324 + (4516141*s[20])/3564 + (2970281*s[21])/7128 - 
       (2669179*s[22])/7128 - (1081921*s[23])/792 - (5016259*s[24])/7128 + 
       (75587477*s[25])/64152 - (36718835*s[26])/64152 + 3*s[29] - s[30] - 
       s[33]/2 + s[34] + s[35] + (14*s[36])/3 - (25*s[37])/6 - (73*s[38])/2 + 
       166*s[39] - (515*s[40])/3 + (507*s[41])/4 - (2929*s[42])/12 - 
       (3688*s[43])/33 + (34475*s[44])/264 - (3851*s[45])/33 + 
       (22445*s[46])/22 - (73207*s[47])/792 + (37013*s[48])/792 + 
       (421933*s[49])/792 - (95779*s[50])/132 - (128741*s[51])/792 - 
       (109079*s[52])/792 + (68699*s[53])/132 - (3199*s[54])/44 + 
       (826445*s[55])/264 + (720767*s[56])/792 - (497671*s[57])/297 + 
       (12763027*s[58])/7128 - (12597661*s[59])/7128 - 
       (35963863*s[60])/4752 + (7279057*s[61])/16038 + s[65]/2 + 2*s[66] - 
       2*s[67] - 2*s[68] - 4*s[69] + s[70] - s[71]/2 - 2*s[72] + 2*s[73] + 
       (3*s[74])/2 - (3*s[75])/2 + 2*s[76] - s[77] - 8*s[78] + 6*s[79] - 
       (4*s[80])/3 + 24*s[82] + 4*s[85]) + F1[u, v, w]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((11*s[3])/2 + (437*s[4])/4 + (2865*s[5])/44 + 
       (7559*s[6])/44 + (657959*s[7])/396 - (197149*s[8])/1188 - 
       (37139*s[9])/27 - (11686*s[10])/27 - (364459*s[11])/198 - 
       (1619465*s[12])/792 - (106319*s[13])/88 - (97579*s[14])/792 - 
       (4439*s[15])/2 - (749191*s[16])/264 - (857371*s[17])/396 - 
       (42395*s[18])/162 - (102665*s[19])/324 - (2885609*s[20])/891 - 
       (8011825*s[21])/7128 + (6140675*s[22])/7128 + (20983*s[23])/11 + 
       (6696529*s[24])/3564 - (38399617*s[25])/16038 + 
       (40592225*s[26])/32076 - 3*s[29] + s[30] - 3*s[31] - s[32] - 
       (31*s[33])/4 + s[34] - s[35] - 7*s[36] + (31*s[37])/6 + 62*s[38] - 
       (953*s[39])/4 + (993*s[40])/4 - (763*s[41])/4 + (1333*s[42])/4 + 
       (8999*s[43])/44 - (9301*s[44])/44 + (7439*s[45])/33 - 
       (235919*s[46])/132 + (22211*s[47])/264 + (3137*s[48])/264 - 
       (256493*s[49])/264 + (60051*s[50])/44 + (18831*s[51])/88 + 
       (5675*s[52])/33 - (387511*s[53])/396 - (791*s[54])/33 - 
       (1607431*s[55])/264 - (1186381*s[56])/792 + (1686089*s[57])/1188 - 
       (19328381*s[58])/7128 + (20208581*s[59])/7128 + 
       (23182963*s[60])/1584 - (48509741*s[61])/64152 - s[65]/2 - s[66] + 
       2*s[67] + 2*s[68] + 4*s[69] + s[70] + s[71]/2 + 2*s[72] - 2*s[73] - 
       (3*s[74])/2 + (3*s[75])/2 + s[76] - 2*s[77] + 4*s[78] - 6*s[79] + 
       (10*s[80])/3 + 24*s[82] + 4*s[85]) + HPL[{0, 1, 1, 1}, 1 - w]*
      Phi6[u, v, w]*(-6*s[2] + (81*s[3])/4 + (189*s[4])/8 + (2091*s[5])/88 + 
       (1083*s[6])/11 + (88637*s[7])/176 - (4855*s[8])/99 - (26773*s[9])/72 - 
       (16283*s[10])/72 - (274919*s[11])/528 - (16747*s[12])/33 - 
       (135089*s[13])/528 - (142367*s[14])/528 - (37979*s[15])/48 - 
       (269827*s[16])/264 - (534467*s[17])/528 - (22205*s[18])/216 - 
       (27535*s[19])/216 - (2817871*s[20])/2376 - (2195063*s[21])/4752 + 
       (1121137*s[22])/4752 + (29089*s[23])/132 + (822619*s[24])/1188 - 
       (25387211*s[25])/42768 + (17227019*s[26])/42768 - 6*s[31] - 
       (27*s[33])/4 + 18*s[34] + (5*s[36])/2 - (55*s[37])/4 - (7*s[38])/2 - 
       (269*s[39])/8 + (441*s[40])/8 - (375*s[41])/8 + (467*s[42])/8 + 
       (4179*s[43])/88 - (13397*s[44])/176 + (6167*s[45])/88 - 
       (23327*s[46])/44 - (4309*s[47])/176 + (15029*s[48])/176 - 
       (50521*s[49])/176 + (5002*s[50])/11 + (4841*s[51])/176 + 
       (813*s[52])/176 - (21073*s[53])/66 - (2087*s[54])/44 - 
       (1107919*s[55])/528 - (266989*s[56])/528 - (27191*s[57])/99 - 
       (2876993*s[58])/4752 + (3145913*s[59])/4752 + (5076925*s[60])/1056 - 
       (2995493*s[61])/10692 - 3*s[68] + 3*s[69] + (3*s[71])/2 + 6*s[76] - 
       3*s[77] - 3*s[78] + 6*s[79] - (37*s[80])/2 + 114*s[82] + 12*s[85]) + 
     HPL[{0, 1, 1, 1}, 1 - u]*Phi6[u, v, w]*(3*s[4] - (2103*s[5])/88 - 
       (135*s[6])/88 - (55987*s[7])/264 - (8153*s[8])/792 + (14747*s[9])/72 + 
       (7735*s[10])/72 + (24451*s[11])/132 + (31573*s[12])/264 + 
       (12835*s[13])/264 + (35051*s[14])/264 + (2869*s[15])/6 + 
       (13961*s[16])/33 + (44227*s[17])/88 + (3241*s[18])/216 + 
       (8605*s[19])/108 + (170272*s[20])/297 + (270997*s[21])/1188 - 
       (268747*s[22])/2376 + (17447*s[23])/132 - (373187*s[24])/1188 + 
       (7960057*s[25])/42768 - (6528877*s[26])/42768 - (9*s[33])/4 + 
       3*s[34] + s[36] - (3*s[37])/4 + (3*s[38])/2 - (81*s[39])/2 + 
       (97*s[40])/2 - (129*s[41])/4 + (275*s[42])/4 + (531*s[43])/22 - 
       (526*s[44])/11 - (51*s[45])/88 - (15727*s[46])/88 + (3163*s[47])/132 - 
       (1985*s[48])/132 - (18619*s[49])/132 + (1532*s[50])/11 + 
       (820*s[51])/33 + (962*s[52])/33 - (6395*s[53])/88 - (69*s[54])/44 - 
       (50647*s[55])/132 - (3965*s[56])/33 + (244427*s[57])/396 - 
       (904289*s[58])/2376 + (205253*s[59])/594 + (2172737*s[60])/1584 - 
       (2484535*s[61])/42768 + (3*s[71])/2 + 12*s[79] - (21*s[80])/2 + 
       114*s[82] + 12*s[85]) + F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      (-3*s[2] - 7*s[3] - 71*s[4] - (542*s[5])/11 - (2253*s[6])/22 - 
       (277879*s[7])/264 + (33739*s[8])/297 + (46879*s[9])/54 + 
       (6760*s[10])/27 + (114965*s[11])/99 + (256943*s[12])/198 + 
       (149989*s[13])/198 + (14951*s[14])/396 + (101471*s[15])/72 + 
       (1407289*s[16])/792 + (264343*s[17])/198 + (15193*s[18])/81 + 
       (27427*s[19])/162 + (3609943*s[20])/1782 + (2536163*s[21])/3564 - 
       (1934161*s[22])/3564 - (1101677*s[23])/792 - (8036639*s[24])/7128 + 
       (24374575*s[25])/16038 - (25678559*s[26])/32076 + 3*s[29] - s[30] - 
       s[31] - s[33]/2 + 3*s[34] + s[35] + (31*s[36])/3 - (13*s[37])/6 - 
       (99*s[38])/2 + 182*s[39] - (541*s[40])/3 + (543*s[41])/4 - 
       (3017*s[42])/12 - (4964*s[43])/33 + (39007*s[44])/264 - 
       (5963*s[45])/33 + (88961*s[46])/66 - (60491*s[47])/792 + 
       (20953*s[48])/792 + (561941*s[49])/792 - (134873*s[50])/132 - 
       (124297*s[51])/792 - (107539*s[52])/792 + (300323*s[53])/396 + 
       (3823*s[54])/132 + (1237669*s[55])/264 + (297265*s[56])/264 - 
       (34310*s[57])/33 + (4866661*s[58])/2376 - (5148403*s[59])/2376 - 
       (51429995*s[60])/4752 + (1558138*s[61])/2673 + s[65]/2 + s[66] - 
       2*s[67] - 3*s[68] - 3*s[69] - s[70] - s[71]/2 - 2*s[72] + 2*s[73] + 
       (3*s[74])/2 - (3*s[75])/2 + 3*s[76] + s[77] - 4*s[78] + 22*s[79] - 
       (40*s[80])/3 + 86*s[82] + 12*s[84] + 22*s[85]) + 
     F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((17*s[2])/4 + (131*s[3])/8 + (3119*s[4])/16 + (15731*s[5])/88 + 
       (81183*s[6])/176 + (11972393*s[7])/3168 - (1508017*s[8])/4752 - 
       (683947*s[9])/216 - (112171*s[10])/108 - (13156471*s[11])/3168 - 
       (1794523*s[12])/396 - (8530037*s[13])/3168 - (1954543*s[14])/3168 - 
       (1422139*s[15])/288 - (5078603*s[16])/792 - (5280647*s[17])/1056 - 
       (491519*s[18])/648 - (672839*s[19])/1296 - (108524939*s[20])/14256 - 
       (80360941*s[21])/28512 + (56065925*s[22])/28512 + 
       (3330841*s[23])/792 + (7264937*s[24])/1782 - (333917539*s[25])/64152 + 
       (187953199*s[26])/64152 - 3*s[29] + s[30] - s[31] - (51*s[33])/8 + 
       2*s[34] - 2*s[35] - (15*s[36])/4 + 6*s[37] + (313*s[38])/4 - 
       (5221*s[39])/16 + (5697*s[40])/16 - (4339*s[41])/16 + 
       (7431*s[42])/16 + (48251*s[43])/176 - (104813*s[44])/352 + 
       (32559*s[45])/88 - (477935*s[46])/176 + (137983*s[47])/1056 + 
       (57661*s[48])/1056 - (1349125*s[49])/1056 + (22156*s[50])/11 + 
       (110963*s[51])/352 + (275015*s[52])/1056 - (31171*s[53])/22 + 
       (1935*s[54])/22 - (3163279*s[55])/352 - (2697743*s[56])/1056 + 
       (2060819*s[57])/792 - (41094745*s[58])/9504 + (40440571*s[59])/9504 + 
       (137084755*s[60])/6336 - (110502613*s[61])/85536 - s[65]/2 - 2*s[66] + 
       2*s[67] + 2*s[68] + 4*s[69] + s[70] + s[71]/2 + 2*s[72] - 
       (5*s[73])/2 - 2*s[74] + 2*s[75] - s[76] + 2*s[77] + (15*s[78])/2 + 
       5*s[79] - (15*s[80])/2 + 86*s[82] + 12*s[84] + 22*s[85]) + 
     F1[w, u, v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((49*s[2])/4 + (47*s[3])/8 + (3279*s[4])/16 + (18159*s[5])/88 + 
       (87895*s[6])/176 + (4436455*s[7])/1056 - (1409849*s[8])/4752 - 
       (771869*s[9])/216 - (128753*s[10])/108 - (14556887*s[11])/3168 - 
       (1960289*s[12])/396 - (9389525*s[13])/3168 - (2591375*s[14])/3168 - 
       (1608751*s[15])/288 - (2824435*s[16])/396 - (17921861*s[17])/3168 - 
       (524635*s[18])/648 - (771895*s[19])/1296 - (122729287*s[20])/14256 - 
       (91603829*s[21])/28512 + (63005629*s[22])/28512 + 
       (1684961*s[23])/396 + (33077995*s[24])/7128 - (365845823*s[25])/
        64152 + (208969685*s[26])/64152 - s[30] + 3*s[31] - (9*s[33])/8 - 
       s[34] + s[35]/2 + s[36]/6 + (83*s[37])/12 + 129*s[38] - 
       (2063*s[39])/4 + (7123*s[40])/12 - (1865*s[41])/4 + (4405*s[42])/6 + 
       (64355*s[43])/132 - (269279*s[44])/528 + (162763*s[45])/264 - 
       (1204283*s[46])/264 + (227203*s[47])/1584 + (268255*s[48])/1584 - 
       (3496465*s[49])/1584 + (115607*s[50])/33 + (821219*s[51])/1584 + 
       (651395*s[52])/1584 - (957269*s[53])/396 + (11663*s[54])/132 - 
       (8199473*s[55])/528 - (2211373*s[56])/528 + (2685781*s[57])/792 - 
       (3670297*s[58])/528 + (11020729*s[59])/1584 + (358742449*s[60])/9504 - 
       (88612103*s[61])/42768 + s[66] - s[69] + 3*s[70] - s[71]/2 + s[72] - 
       s[73] - (5*s[74])/4 + (5*s[75])/4 - 3*s[76] - (7*s[77])/2 - 2*s[78] + 
       58*s[79] - (121*s[80])/6 + 114*s[82] - (3*s[83])/2 + 21*s[84] + 
       36*s[85]) + F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      (6*s[2] - (11*s[3])/2 + (1155*s[4])/8 + (7093*s[5])/44 + 
       (30541*s[6])/88 + (1192739*s[7])/396 - (171637*s[8])/792 - 
       (186413*s[9])/72 - (29399*s[10])/36 - (144017*s[11])/44 - 
       (232951*s[12])/66 - (415517*s[13])/198 - (51495*s[14])/88 - 
       (287929*s[15])/72 - (4014629*s[16])/792 - (3161527*s[17])/792 - 
       (45295*s[18])/72 - (4079*s[19])/12 - (613666*s[20])/99 - 
       (5592385*s[21])/2376 + (3788905*s[22])/2376 + (2628319*s[23])/792 + 
       (7618981*s[24])/2376 - (172875977*s[25])/42768 + 
       (100454381*s[26])/42768 - s[29] - s[30]/2 + s[31] + (3*s[32])/2 + 
       (49*s[33])/8 - s[34]/2 + s[35] + (5*s[36])/2 + (89*s[37])/12 + 
       91*s[38] - (3099*s[39])/8 + (3599*s[40])/8 - (2855*s[41])/8 + 
       (4527*s[42])/8 + (30229*s[43])/88 - (65231*s[44])/176 + 
       (121309*s[45])/264 - (223669*s[46])/66 + (24241*s[47])/176 + 
       (10975*s[48])/176 - (271075*s[49])/176 + (114291*s[50])/44 + 
       (217445*s[51])/528 + (57047*s[52])/176 - (711751*s[53])/396 + 
       (7745*s[54])/66 - (6118289*s[55])/528 - (5090237*s[56])/1584 + 
       (3482819*s[57])/1188 - (75722653*s[58])/14256 + 
       (75001429*s[59])/14256 + (87444985*s[60])/3168 - 
       (101147615*s[61])/64152 + s[65]/2 + 2*s[66] - 2*s[67] + 3*s[68] - 
       6*s[69] + s[70] - s[71]/2 + 4*s[73] - s[74] + s[75] - 2*s[76] - 
       s[77] - 2*s[78] + 54*s[79] - (115*s[80])/6 + 114*s[82] - (3*s[83])/2 + 
       21*s[84] + 36*s[85]) + F1[w, u, v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((43*s[2])/4 + (25*s[3])/8 + (3349*s[4])/16 + (1927*s[5])/11 + 
       (78115*s[6])/176 + (1386815*s[7])/352 - (448867*s[8])/1584 - 
       (60133*s[9])/18 - (82361*s[10])/72 - (4529815*s[11])/1056 - 
       (1216481*s[12])/264 - (2897809*s[13])/1056 - (765859*s[14])/1056 - 
       (510923*s[15])/96 - (1778641*s[16])/264 - (5672041*s[17])/1056 - 
       (38957*s[18])/54 - (260135*s[19])/432 - (38431535*s[20])/4752 - 
       (28115701*s[21])/9504 + (19757633*s[22])/9504 + (1042025*s[23])/264 + 
       (5213161*s[24])/1188 - (228945017*s[25])/42768 + 
       (128869589*s[26])/42768 + s[29] - s[30] + 2*s[31] - s[32]/2 + 
       (31*s[33])/8 - s[34] + s[35]/2 - (53*s[36])/6 + (73*s[37])/12 + 
       112*s[38] - (923*s[39])/2 + (1609*s[40])/3 - (869*s[41])/2 + 
       (7937*s[42])/12 + (29899*s[43])/66 - (251585*s[44])/528 + 
       (151805*s[45])/264 - (376097*s[46])/88 + (164161*s[47])/1584 + 
       (286393*s[48])/1584 - (3296515*s[49])/1584 + (110738*s[50])/33 + 
       (744149*s[51])/1584 + (557657*s[52])/1584 - (101903*s[53])/44 - 
       (1797*s[54])/44 - (7854247*s[55])/528 - (6135053*s[56])/1584 + 
       (6078337*s[57])/2376 - (89997289*s[58])/14256 + 
       (91195639*s[59])/14256 + (340689859*s[60])/9504 - 
       (246482173*s[61])/128304 + s[66] - s[68] - s[69] + 4*s[70] - s[71]/2 + 
       s[72] - 3*s[73] - (9*s[74])/4 + (9*s[75])/4 - 3*s[76] - (11*s[77])/2 - 
       2*s[78] + 60*s[79] - (95*s[80])/6 + 114*s[82] + (3*s[83])/2 + 
       27*s[84] + 36*s[85]) + F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((9*s[2])/2 - (29*s[3])/4 + (337*s[4])/2 + (12959*s[5])/88 + 
       (29113*s[6])/88 + (1625599*s[7])/528 - (591445*s[8])/2376 - 
       (71005*s[9])/27 - (179023*s[10])/216 - (5314429*s[11])/1584 - 
       (2889589*s[12])/792 - (3393637*s[13])/1584 - (766561*s[14])/1584 - 
       (591419*s[15])/144 - (4126619*s[16])/792 - (6416143*s[17])/1584 - 
       (199109*s[18])/324 - (251927*s[19])/648 - (44685545*s[20])/7128 - 
       (32940133*s[21])/14256 + (23200943*s[22])/14256 + 
       (2821255*s[23])/792 + (23378413*s[24])/7128 - (67407755*s[25])/16038 + 
       (37994081*s[26])/16038 - s[29] + s[30]/2 + s[31] + s[32]/2 - 
       (13*s[33])/8 - s[34]/2 - (59*s[36])/6 + (71*s[37])/12 + 
       (195*s[38])/2 - (3383*s[39])/8 + (11537*s[40])/24 - (3085*s[41])/8 + 
       (14839*s[42])/24 + (97387*s[43])/264 - (214559*s[44])/528 + 
       (125845*s[45])/264 - (239621*s[46])/66 + (231811*s[47])/1584 + 
       (81793*s[48])/1584 - (2711161*s[49])/1584 + (186661*s[50])/66 + 
       (708773*s[51])/1584 + (532577*s[52])/1584 - (194090*s[53])/99 + 
       (4289*s[54])/132 - (6606583*s[55])/528 - (1770685*s[56])/528 + 
       (575719*s[57])/198 - (2948237*s[58])/528 + (8874835*s[59])/1584 + 
       (282557125*s[60])/9504 - (35599141*s[61])/21384 + s[66] + 3*s[68] - 
       3*s[69] + 3*s[70] + 2*s[72] - 2*s[73] - (5*s[74])/2 + (5*s[75])/2 - 
       s[76] - 2*s[77] + 2*s[78] + 48*s[79] - (85*s[80])/6 + 114*s[82] + 
       (3*s[83])/2 + 27*s[84] + 36*s[85]) + HPL[{0, 0, 1, 1}, 1 - u]*
      Phi6[u, v, w]*(-5*s[2] + 25*s[3] + 339*s[4] + (441*s[5])/2 + 542*s[6] + 
       (20335*s[7])/4 - (22721*s[8])/54 - (233069*s[9])/54 - 
       (70249*s[10])/54 - (49769*s[11])/9 - (217039*s[12])/36 - 
       (129137*s[13])/36 - (22547*s[14])/36 - (247721*s[15])/36 - 
       (77042*s[16])/9 - (118621*s[17])/18 - (79742*s[18])/81 - 
       (107639*s[19])/162 - (826928*s[20])/81 - (1196099*s[21])/324 + 
       (867625*s[22])/324 + (228637*s[23])/36 + (1745275*s[24])/324 - 
       (5138222*s[25])/729 + (5680135*s[26])/1458 + 2*s[29] + 2*s[30] + 
       2*s[31] + 4*s[32] + (11*s[33])/2 - 2*s[34] - 6*s[35] - (8*s[36])/3 + 
       (32*s[37])/3 + 148*s[38] - 647*s[39] + (2285*s[40])/3 - 611*s[41] + 
       (2854*s[42])/3 + (19771*s[43])/33 - (42365*s[44])/66 + 
       (54757*s[45])/66 - (132355*s[46])/22 + (79205*s[47])/396 + 
       (57953*s[48])/396 - (1066619*s[49])/396 + (308489*s[50])/66 + 
       (272017*s[51])/396 + (105095*s[52])/198 - (107585*s[53])/33 + 
       (1136*s[54])/11 - (2782889*s[55])/132 - (2273185*s[56])/396 + 
       (1289707*s[57])/297 - (32781083*s[58])/3564 + (32881379*s[59])/3564 + 
       (117899603*s[60])/2376 - (90217793*s[61])/32076 + s[65] + 2*s[66] - 
       4*s[67] - 8*s[69] + 2*s[70] - s[71] + 8*s[73] - 2*s[74] + 2*s[75] - 
       2*s[76] + 2*s[77] - 4*s[78] + 96*s[79] - (80*s[80])/3 + 228*s[82] - 
       3*s[83] + 42*s[84] + 72*s[85]) + HPL[{0, 0, 1, 1}, 1 - w]*
      Phi6[u, v, w]*(15*s[2] + (75*s[3])/2 + (1367*s[4])/4 + (3934*s[5])/11 + 
       (38553*s[6])/44 + (1957223*s[7])/264 - (194837*s[8])/396 - 
       (56677*s[9])/9 - (19688*s[10])/9 - (2139443*s[11])/264 - 
       (572857*s[12])/66 - (457783*s[13])/88 - (398483*s[14])/264 - 
       (79639*s[15])/8 - (558123*s[16])/44 - (2685721*s[17])/264 - 
       (73489*s[18])/54 - (128725*s[19])/108 - (18167419*s[20])/1188 - 
       (13364561*s[21])/2376 + (9245041*s[22])/2376 + (300727*s[23])/44 + 
       (9973145*s[24])/1188 - (26896270*s[25])/2673 + (15254203*s[26])/2673 - 
       2*s[30] + 4*s[31] - 2*s[33] - 4*s[34] - 6*s[35] + (4*s[36])/3 + 
       (49*s[37])/6 + 215*s[38] - (1551*s[39])/2 + (5353*s[40])/6 - 
       705*s[41] + (3166*s[42])/3 + (55511*s[43])/66 - (107563*s[44])/132 + 
       (151631*s[45])/132 - (347469*s[46])/44 + (43361*s[47])/396 + 
       (194963*s[48])/396 - (1496327*s[49])/396 + (201844*s[50])/33 + 
       (286249*s[51])/396 + (232489*s[52])/396 - (560347*s[53])/132 - 
       (1187*s[54])/22 - (1211829*s[55])/44 - (2861335*s[56])/396 + 
       (2024807*s[57])/594 - (20276107*s[58])/1782 + (40910117*s[59])/3564 + 
       (79442965*s[60])/1188 - (234530023*s[61])/64152 + 8*s[70] - 2*s[71] - 
       4*s[76] - 4*s[77] - 2*s[78] + 64*s[79] - (53*s[80])/3 + 228*s[82] - 
       3*s[83] + 42*s[84] + 72*s[85]) + F1[w, u, v]*HPL[{0, 1, 1}, 1 - u]*
      ((29*s[2])/2 + (29*s[3])/2 + (2239*s[4])/4 + (19971*s[5])/44 + 
       (25013*s[6])/22 + (2684785*s[7])/264 - (453169*s[8])/594 - 
       (464909*s[9])/54 - (307619*s[10])/108 - (4419775*s[11])/396 - 
       (2400439*s[12])/198 - (2873083*s[13])/396 - (162451*s[14])/99 - 
       (974485*s[15])/72 - (13678535*s[16])/792 - (5338225*s[17])/396 - 
       (606437*s[18])/324 - (252089*s[19])/162 - (73473517*s[20])/3564 - 
       (6695941*s[21])/891 + (19110695*s[22])/3564 + (8498509*s[23])/792 + 
       (80602459*s[24])/7128 - (450049297*s[25])/32076 + 
       (62642098*s[26])/8019 - 2*s[30] + 2*s[31] + s[32]/2 + (3*s[33])/4 + 
       2*s[34] - 5*s[35] - (26*s[36])/3 + (55*s[37])/2 + 331*s[38] - 
       (5229*s[39])/4 + (17975*s[40])/12 - (4743*s[41])/4 + 
       (22339*s[42])/12 + (14699*s[43])/12 - (7801*s[44])/6 + 
       (5825*s[45])/4 - (66727*s[46])/6 + (12529*s[47])/36 + (3547*s[48])/9 - 
       (202891*s[49])/36 + (25928*s[50])/3 + (11669*s[51])/9 + 
       (36503*s[52])/36 - (212575*s[53])/36 - (86*s[54])/3 - 
       (113575*s[55])/3 - (357055*s[56])/36 + (913585*s[57])/108 - 
       (2741281*s[58])/162 + (2765761*s[59])/162 + (10007843*s[60])/108 - 
       (14261585*s[61])/2916 + 6*s[70] - s[71] + 2*s[72] - (9*s[74])/2 + 
       (9*s[75])/2 - 2*s[76] - 5*s[77] + 154*s[79] - 51*s[80] + 252*s[82] + 
       (3*s[83])/2 + 51*s[84] + 72*s[85]) + F1[u, v, w]*HPL[{0, 1, 1}, 1 - w]*
      ((7*s[2])/2 + (17*s[3])/4 + (4357*s[4])/8 + (4913*s[5])/11 + 
       (92011*s[6])/88 + (14919379*s[7])/1584 - (1885441*s[8])/2376 - 
       (430763*s[9])/54 - (261179*s[10])/108 - (16464733*s[11])/1584 - 
       (1133048*s[12])/99 - (3612277*s[13])/528 - (1889353*s[14])/1584 - 
       (592447*s[15])/48 - (2086451*s[16])/132 - (19022891*s[17])/1584 - 
       (584609*s[18])/324 - (828857*s[19])/648 - (133753535*s[20])/7128 - 
       (98348443*s[21])/14256 + (70734143*s[22])/14256 + (745951*s[23])/66 + 
       (36098729*s[24])/3564 - (845383835*s[25])/64152 + 
       (469078967*s[26])/64152 - 2*s[29] + 2*s[30] - s[31] + (3*s[32])/2 - 
       (29*s[33])/4 - s[34] - 7*s[35] - 23*s[36] + (205*s[37])/6 + 
       (703*s[38])/2 - (5613*s[39])/4 + (6265*s[40])/4 - 1208*s[41] + 
       2011*s[42] + (4865*s[43])/4 - (2613*s[44])/2 + (8603*s[45])/6 - 
       (133105*s[46])/12 + (2971*s[47])/6 + (1913*s[48])/12 - 
       (16751*s[49])/3 + (33845*s[50])/4 + (8351*s[51])/6 + 
       (13423*s[52])/12 - (52739*s[53])/9 + (2099*s[54])/12 - 
       (447227*s[55])/12 - (180023*s[56])/18 + (284275*s[57])/27 - 
       (5674607*s[58])/324 + (5714027*s[59])/324 + (3255023*s[60])/36 - 
       (28695181*s[61])/5832 - s[65]/2 + 2*s[67] + 4*s[68] + 7*s[70] + 
       s[71]/2 + 6*s[72] - 4*s[73] - (13*s[74])/2 + (13*s[75])/2 - 6*s[76] - 
       7*s[77] + 6*s[78] + 106*s[79] - (95*s[80])/3 + 252*s[82] + 
       (3*s[83])/2 + 51*s[84] + 72*s[85]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*Phi6[u, v, w]*((59*s[2])/4 + (167*s[3])/8 + 
       (7957*s[4])/16 + (42687*s[5])/88 + (205061*s[6])/176 + 
       (31612565*s[7])/3168 - (1145933*s[8])/1584 - (304603*s[9])/36 - 
       (103049*s[10])/36 - (11443057*s[11])/1056 - (1532429*s[12])/132 - 
       (21804721*s[13])/3168 - (2077453*s[14])/1056 - (3886211*s[15])/288 - 
       (3376129*s[16])/198 - (43413317*s[17])/3168 - (51742*s[18])/27 - 
       (625769*s[19])/432 - (97584149*s[20])/4752 - (8034815*s[21])/1056 + 
       (49756351*s[22])/9504 + (997102*s[23])/99 + (26227615*s[24])/2376 - 
       (191994623*s[25])/14256 + (109630475*s[26])/14256 - (3*s[30])/2 + 
       2*s[31] - s[32]/2 - (5*s[33])/2 + (5*s[34])/2 - (7*s[35])/2 - 
       13*s[36] + (35*s[37])/3 + 275*s[38] - (9159*s[39])/8 + 
       (10575*s[40])/8 - (8467*s[41])/8 + (13141*s[42])/8 + 
       (97961*s[43])/88 - (51025*s[44])/44 + (99799*s[45])/66 - 
       (2874565*s[46])/264 + (74465*s[47])/264 + (57841*s[48])/132 - 
       (1336595*s[49])/264 + (185771*s[50])/22 + (76049*s[51])/66 + 
       (237433*s[52])/264 - (2338873*s[53])/396 + (17293*s[54])/132 - 
       (2509747*s[55])/66 - (8040367*s[56])/792 + (15157471*s[57])/2376 - 
       (115028657*s[58])/7128 + (14510224*s[59])/891 + 
       (143174221*s[60])/1584 - (649886773*s[61])/128304 + 5*s[70] - 
       (3*s[71])/2 + 3*s[72] + s[73] - (19*s[74])/4 + (19*s[75])/4 - 
       3*s[76] - (7*s[77])/2 + 122*s[79] - (113*s[80])/3 + 282*s[82] + 
       60*s[84] + 84*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      Phi6[u, v, w]*((41*s[2])/4 - (11*s[3])/8 + (7335*s[4])/16 + 
       (34241*s[5])/88 + (164059*s[6])/176 + (25973291*s[7])/3168 - 
       (3144109*s[8])/4752 - (188306*s[9])/27 - (115931*s[10])/54 - 
       (28321561*s[11])/3168 - (7701443*s[12])/792 - (18313583*s[13])/3168 - 
       (3993457*s[14])/3168 - (3138445*s[15])/288 - (2732069*s[16])/198 - 
       (3778615*s[17])/352 - (526285*s[18])/324 - (1310057*s[19])/1296 - 
       (235930397*s[20])/14256 - (174356059*s[21])/28512 + 
       (123250187*s[22])/28512 + (7648405*s[23])/792 + 
       (31021339*s[24])/3564 - (1442668451*s[25])/128304 + 
       (812336351*s[26])/128304 - 2*s[29] + (3*s[30])/2 + 6*s[31] + s[32]/2 + 
       (7*s[33])/4 - (11*s[34])/2 - (9*s[35])/2 - 18*s[36] + (265*s[37])/12 + 
       249*s[38] - (8767*s[39])/8 + (10047*s[40])/8 - (7971*s[41])/8 + 
       (12885*s[42])/8 + (86441*s[43])/88 - (92605*s[44])/88 + 
       (345095*s[45])/264 - (1280953*s[46])/132 + (97243*s[47])/264 + 
       (11713*s[48])/66 - (1171069*s[49])/264 + (82300*s[50])/11 + 
       (150233*s[51])/132 + (58979*s[52])/66 - (4156117*s[53])/792 + 
       (35987*s[54])/132 - (4430039*s[55])/132 - (7264067*s[56])/792 + 
       (18043085*s[57])/2376 - (53248601*s[58])/3564 + 
       (53448401*s[59])/3564 + (62741545*s[60])/792 - 
       (289295965*s[61])/64152 + 5*s[68] - 3*s[69] + 3*s[70] - s[71]/2 + 
       5*s[72] + 3*s[73] - (21*s[74])/4 + (21*s[75])/4 - 7*s[76] - 
       (3*s[77])/2 + 5*s[78] + 126*s[79] - (203*s[80])/6 + 282*s[82] + 
       60*s[84] + 84*s[85]) + C27[v, w, u]*((-21*s[2])/2 - (41*s[3])/4 - 
       (1509*s[4])/8 - (5219*s[5])/22 - (40631*s[6])/88 - (687711*s[7])/176 + 
       (661733*s[8])/2376 + (90131*s[9])/27 + (111031*s[10])/108 + 
       (6781337*s[11])/1584 + (1822129*s[12])/396 + (4369751*s[13])/1584 + 
       (1037237*s[14])/1584 + (757345*s[15])/144 + (1313179*s[16])/198 + 
       (8367431*s[17])/1584 + (64417*s[18])/81 + (322813*s[19])/648 + 
       (56280757*s[20])/7128 + (43672331*s[21])/14256 - 
       (29281711*s[22])/14256 - (882119*s[23])/198 - (14768971*s[24])/3564 + 
       (340958059*s[25])/64152 - (198220111*s[26])/64152 + 2*s[29] - 
       8*s[31] + s[32] - (15*s[33])/4 + 14*s[34] + 3*s[35] + (67*s[36])/3 - 
       (107*s[37])/6 - 137*s[38] + (1161*s[39])/2 - (3689*s[40])/6 + 
       462*s[41] - (5077*s[42])/6 - (28801*s[43])/66 + (129157*s[44])/264 - 
       (56575*s[45])/132 + (165401*s[46])/44 - (216503*s[47])/792 + 
       (77989*s[48])/792 + (1630445*s[49])/792 - (92414*s[50])/33 - 
       (437419*s[51])/792 - (368353*s[52])/792 + (43267*s[53])/22 - 
       (1097*s[54])/11 + (3174217*s[55])/264 + (2550379*s[56])/792 - 
       (6072689*s[57])/1188 + (44853887*s[58])/7128 - (45375005*s[59])/7128 - 
       (139507517*s[60])/4752 + (101890997*s[61])/64152 + 2*s[65] + 4*s[66] - 
       6*s[67] - 4*s[68] - 10*s[69] - 2*s[71] - 6*s[72] + 6*s[73] + 
       (9*s[74])/2 - (9*s[75])/2 + 6*s[76] + 3*s[77] - 14*s[78] - 4*s[79] + 
       (7*s[80])/3 + 6*s[86]) + F1[v, w, u]*HPL[{1}, 1 - u]*
      (-9*s[2] + 69*s[3] + 632*s[4] + (1648*s[5])/11 + (15867*s[6])/22 + 
       (291999*s[7])/44 - (481889*s[8])/594 - (143546*s[9])/27 - 
       (78407*s[10])/54 - (2956727*s[11])/396 - (3403969*s[12])/396 - 
       (512375*s[13])/99 + (53303*s[14])/198 - (304897*s[15])/36 - 
       (4402481*s[16])/396 - (3086909*s[17])/396 - (179711*s[18])/162 - 
       (88262*s[19])/81 - (21564685*s[20])/1782 - (3538232*s[21])/891 + 
       (6082403*s[22])/1782 + (2019953*s[23])/198 + (6226555*s[24])/891 - 
       (323744363*s[25])/32076 + (160479917*s[26])/32076 - 12*s[29] + 
       6*s[30] - 6*s[31] + s[33] - 6*s[35] - 35*s[36] + 32*s[37] + 
       266*s[38] - (4761*s[39])/4 + (5125*s[40])/4 - (3965*s[41])/4 + 
       (7013*s[42])/4 + (39959*s[43])/44 - (91791*s[44])/88 + 
       (10105*s[45])/11 - (353893*s[46])/44 + (139439*s[47])/264 - 
       (38035*s[48])/264 - (1141061*s[49])/264 + (67098*s[50])/11 + 
       (307253*s[51])/264 + (245497*s[52])/264 - (564395*s[53])/132 + 
       (1898*s[54])/11 - (6951149*s[55])/264 - (614797*s[56])/88 + 
       (328580*s[57])/33 - (3488489*s[58])/264 + (3542911*s[59])/264 + 
       (100886243*s[60])/1584 - (24377473*s[61])/7128 - 2*s[65] - 8*s[66] + 
       12*s[67] + 4*s[68] + 22*s[69] + 2*s[71] + 12*s[72] - 12*s[73] - 
       9*s[74] + 9*s[75] - 4*s[76] - 8*s[77] + 26*s[78] + 48*s[79] - 
       16*s[80])*\[Zeta][2] + F1[u, v, w]*HPL[{1}, 1 - v]*
      (-5*s[2] + (111*s[3])/2 + (2301*s[4])/4 + (1491*s[5])/11 + 
       (28251*s[6])/44 + (525413*s[7])/88 - (889993*s[8])/1188 - 
       (259027*s[9])/54 - (64811*s[10])/54 - (5377447*s[11])/792 - 
       (1570007*s[12])/198 - (3815569*s[13])/792 + (345425*s[14])/792 - 
       (530615*s[15])/72 - (974414*s[16])/99 - (5226853*s[17])/792 - 
       (166223*s[18])/162 - (292859*s[19])/324 - (38034959*s[20])/3564 - 
       (24820225*s[21])/7128 + (21973757*s[22])/7128 + (961756*s[23])/99 + 
       (10912421*s[24])/1782 - (74106950*s[25])/8019 + 
       (36252752*s[26])/8019 - 12*s[29] + 6*s[30] - 2*s[31] + s[33] - 
       8*s[34] - 6*s[35] - 36*s[36] + 39*s[37] + 274*s[38] - (2325*s[39])/2 + 
       (2473*s[40])/2 - (1877*s[41])/2 + (3395*s[42])/2 + (19087*s[43])/22 - 
       (21671*s[44])/22 + (18983*s[45])/22 - (83377*s[46])/11 + 
       (36049*s[47])/66 - (6214*s[48])/33 - (270991*s[49])/66 + 
       (62416*s[50])/11 + (37063*s[51])/33 + (30598*s[52])/33 - 
       (261769*s[53])/66 + (2381*s[54])/11 - (803237*s[55])/33 - 
       (432127*s[56])/66 + (2029033*s[57])/198 - (3773254*s[58])/297 + 
       (3806995*s[59])/297 + (5891845*s[60])/99 - (8520610*s[61])/2673 - 
       2*s[65] - 8*s[66] + 12*s[67] + 6*s[68] + 20*s[69] + 2*s[71] + 
       12*s[72] - 12*s[73] - 9*s[74] + 9*s[75] - 8*s[76] - 6*s[77] + 
       28*s[78] + 32*s[79] - 6*s[80])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Phi6[u, v, w]*(-5*s[2] + (111*s[3])/2 + 
       (2301*s[4])/4 + (1491*s[5])/11 + (28251*s[6])/44 + (525413*s[7])/88 - 
       (889993*s[8])/1188 - (259027*s[9])/54 - (64811*s[10])/54 - 
       (5377447*s[11])/792 - (1570007*s[12])/198 - (3815569*s[13])/792 + 
       (345425*s[14])/792 - (530615*s[15])/72 - (974414*s[16])/99 - 
       (5226853*s[17])/792 - (166223*s[18])/162 - (292859*s[19])/324 - 
       (38034959*s[20])/3564 - (24820225*s[21])/7128 + 
       (21973757*s[22])/7128 + (961756*s[23])/99 + (10912421*s[24])/1782 - 
       (74106950*s[25])/8019 + (36252752*s[26])/8019 - 12*s[29] + 6*s[30] - 
       2*s[31] + s[33] - 8*s[34] - 6*s[35] - 36*s[36] + 39*s[37] + 
       274*s[38] - (2325*s[39])/2 + (2473*s[40])/2 - (1877*s[41])/2 + 
       (3395*s[42])/2 + (19087*s[43])/22 - (21671*s[44])/22 + 
       (18983*s[45])/22 - (83377*s[46])/11 + (36049*s[47])/66 - 
       (6214*s[48])/33 - (270991*s[49])/66 + (62416*s[50])/11 + 
       (37063*s[51])/33 + (30598*s[52])/33 - (261769*s[53])/66 + 
       (2381*s[54])/11 - (803237*s[55])/33 - (432127*s[56])/66 + 
       (2029033*s[57])/198 - (3773254*s[58])/297 + (3806995*s[59])/297 + 
       (5891845*s[60])/99 - (8520610*s[61])/2673 - 2*s[65] - 8*s[66] + 
       12*s[67] + 6*s[68] + 20*s[69] + 2*s[71] + 12*s[72] - 12*s[73] - 
       9*s[74] + 9*s[75] - 8*s[76] - 6*s[77] + 28*s[78] + 32*s[79] - 6*s[80])*
      \[Zeta][2] + K1[u, v, w]*(21*s[2] + s[3]/2 + (1349*s[4])/4 + 
       (9745*s[5])/22 + (38101*s[6])/44 + (5734439*s[7])/792 - 
       (630691*s[8])/1188 - (334921*s[9])/54 - (50974*s[10])/27 - 
       (6284533*s[11])/792 - (844828*s[12])/99 - (4049255*s[13])/792 - 
       (1003885*s[14])/792 - (696997*s[15])/72 - (1212595*s[16])/99 - 
       (857711*s[17])/88 - (241469*s[18])/162 - (285809*s[19])/324 - 
       (52214717*s[20])/3564 - (40611031*s[21])/7128 + 
       (27196991*s[22])/7128 + (820607*s[23])/99 + (13594523*s[24])/1782 - 
       (78709802*s[25])/8019 + (45902552*s[26])/8019 + 10*s[31] - 4*s[32] + 
       (17*s[33])/2 - 22*s[34] - 6*s[35] - (104*s[36])/3 + (107*s[37])/3 + 
       262*s[38] - (2235*s[39])/2 + (7117*s[40])/6 - (1803*s[41])/2 + 
       (9803*s[42])/6 + (54851*s[43])/66 - (31189*s[44])/33 + 
       (54943*s[45])/66 - (80413*s[46])/11 + (52577*s[47])/99 - 
       (37439*s[48])/198 - (391415*s[49])/99 + (180658*s[50])/33 + 
       (214223*s[51])/198 + (176123*s[52])/198 - (84351*s[53])/22 + 
       (1997*s[54])/11 - (1550845*s[55])/66 - (624064*s[56])/99 + 
       (5827463*s[57])/594 - (21786187*s[58])/1782 + (21984889*s[59])/1782 + 
       (68081197*s[60])/1188 - (24789779*s[61])/8019 - 2*s[65] - 8*s[66] + 
       12*s[67] + 10*s[68] + 20*s[69] + 2*s[71] + 12*s[72] - 12*s[73] - 
       9*s[74] + 9*s[75] - 4*s[76] - 6*s[77] + 28*s[78] + 24*s[79] - 
       (14*s[80])/3)*\[Zeta][2] + G[u, v, w]*(-21*s[2] - s[3]/2 - 
       (1253*s[4])/4 - (9443*s[5])/22 - (35985*s[6])/44 - 
       (5455415*s[7])/792 + (589207*s[8])/1188 + (319123*s[9])/54 + 
       (49099*s[10])/27 + (5963365*s[11])/792 + (797899*s[12])/99 + 
       (3812639*s[13])/792 + (989941*s[14])/792 + (668509*s[15])/72 + 
       (1157854*s[16])/99 + (826071*s[17])/88 + (229691*s[18])/162 + 
       (275201*s[19])/324 + (49905149*s[20])/3564 + (38915959*s[21])/7128 - 
       (25878791*s[22])/7128 - (768194*s[23])/99 - (12966749*s[24])/1782 + 
       (148926949*s[25])/16038 - (87267733*s[26])/16038 - 14*s[31] + 
       4*s[32] - (17*s[33])/2 + 22*s[34] + 6*s[35] + (112*s[36])/3 - 
       (97*s[37])/3 - 246*s[38] + (2107*s[39])/2 - (6677*s[40])/6 + 
       (1699*s[41])/2 - (9247*s[42])/6 - (51571*s[43])/66 + 
       (29357*s[44])/33 - (51899*s[45])/66 + (76003*s[46])/11 - 
       (49573*s[47])/99 + (37639*s[48])/198 + (371029*s[49])/99 - 
       (171746*s[50])/33 - (201235*s[51])/198 - (164383*s[52])/198 + 
       (241253*s[53])/66 - (1053*s[54])/11 + (1475777*s[55])/66 + 
       (585326*s[56])/99 - (5361475*s[57])/594 + (20429291*s[58])/1782 - 
       (20708813*s[59])/1782 - (64458401*s[60])/1188 + 
       (23386477*s[61])/8019 + 2*s[65] + 8*s[66] - 12*s[67] - 10*s[68] - 
       20*s[69] - 2*s[71] - 12*s[72] + 12*s[73] + 9*s[74] - 9*s[75] + 
       4*s[76] + 6*s[77] - 28*s[78] - 16*s[79] - (2*s[80])/3)*\[Zeta][2] + 
     K1[w, u, v]*(-5*s[2] + (111*s[3])/2 + (2205*s[4])/4 + (1340*s[5])/11 + 
       (26135*s[6])/44 + (1483231*s[7])/264 - (848509*s[8])/1188 - 
       (243229*s[9])/54 - (61061*s[10])/54 - (5056279*s[11])/792 - 
       (1476149*s[12])/198 - (3578953*s[13])/792 + (359369*s[14])/792 - 
       (502127*s[15])/72 - (919673*s[16])/99 - (4942093*s[17])/792 - 
       (154445*s[18])/162 - (282251*s[19])/324 - (35725391*s[20])/3564 - 
       (23125153*s[21])/7128 + (20655557*s[22])/7128 + (909343*s[23])/99 + 
       (10284647*s[24])/1782 - (139721245*s[25])/16038 + 
       (67968133*s[26])/16038 - 12*s[29] + 6*s[30] + 2*s[31] + s[33] - 
       8*s[34] - 6*s[35] - (116*s[36])/3 + (107*s[37])/3 + 258*s[38] - 
       (2197*s[39])/2 + (6979*s[40])/6 - (1773*s[41])/2 + (9629*s[42])/6 + 
       (53981*s[43])/66 - (61349*s[44])/66 + (53905*s[45])/66 - 
       (78967*s[46])/11 + (102139*s[47])/198 - (18742*s[48])/99 - 
       (772201*s[49])/198 + (178336*s[50])/33 + (104695*s[51])/99 + 
       (85924*s[52])/99 - (83323*s[53])/22 + (1437*s[54])/11 - 
       (765703*s[55])/33 - (1218905*s[56])/198 + (5621111*s[57])/594 - 
       (10641314*s[58])/891 + (10782947*s[59])/891 + (16769836*s[60])/297 - 
       (24158528*s[61])/8019 - 2*s[65] - 8*s[66] + 12*s[67] + 6*s[68] + 
       20*s[69] + 2*s[71] + 12*s[72] - 12*s[73] - 9*s[74] + 9*s[75] - 
       8*s[76] - 6*s[77] + 28*s[78] + 24*s[79] - (2*s[80])/3)*\[Zeta][2] + 
     F1[w, u, v]*HPL[{1}, 1 - v]*(5*s[2] - (111*s[3])/2 - (2205*s[4])/4 - 
       (1340*s[5])/11 - (26135*s[6])/44 - (1483231*s[7])/264 + 
       (848509*s[8])/1188 + (243229*s[9])/54 + (61061*s[10])/54 + 
       (5056279*s[11])/792 + (1476149*s[12])/198 + (3578953*s[13])/792 - 
       (359369*s[14])/792 + (502127*s[15])/72 + (919673*s[16])/99 + 
       (4942093*s[17])/792 + (154445*s[18])/162 + (282251*s[19])/324 + 
       (35725391*s[20])/3564 + (23125153*s[21])/7128 - 
       (20655557*s[22])/7128 - (909343*s[23])/99 - (10284647*s[24])/1782 + 
       (139721245*s[25])/16038 - (67968133*s[26])/16038 + 12*s[29] - 
       6*s[30] - 2*s[31] - s[33] + 8*s[34] + 6*s[35] + (116*s[36])/3 - 
       (107*s[37])/3 - 258*s[38] + (2197*s[39])/2 - (6979*s[40])/6 + 
       (1773*s[41])/2 - (9629*s[42])/6 - (53981*s[43])/66 + 
       (61349*s[44])/66 - (53905*s[45])/66 + (78967*s[46])/11 - 
       (102139*s[47])/198 + (18742*s[48])/99 + (772201*s[49])/198 - 
       (178336*s[50])/33 - (104695*s[51])/99 - (85924*s[52])/99 + 
       (83323*s[53])/22 - (1437*s[54])/11 + (765703*s[55])/33 + 
       (1218905*s[56])/198 - (5621111*s[57])/594 + (10641314*s[58])/891 - 
       (10782947*s[59])/891 - (16769836*s[60])/297 + (24158528*s[61])/8019 + 
       2*s[65] + 8*s[66] - 12*s[67] - 6*s[68] - 20*s[69] - 2*s[71] - 
       12*s[72] + 12*s[73] + 9*s[74] - 9*s[75] + 8*s[76] + 6*s[77] - 
       28*s[78] - 24*s[79] + (2*s[80])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Phi6[u, v, w]*(5*s[2] - (111*s[3])/2 - 
       (2205*s[4])/4 - (1340*s[5])/11 - (26135*s[6])/44 - 
       (1483231*s[7])/264 + (848509*s[8])/1188 + (243229*s[9])/54 + 
       (61061*s[10])/54 + (5056279*s[11])/792 + (1476149*s[12])/198 + 
       (3578953*s[13])/792 - (359369*s[14])/792 + (502127*s[15])/72 + 
       (919673*s[16])/99 + (4942093*s[17])/792 + (154445*s[18])/162 + 
       (282251*s[19])/324 + (35725391*s[20])/3564 + (23125153*s[21])/7128 - 
       (20655557*s[22])/7128 - (909343*s[23])/99 - (10284647*s[24])/1782 + 
       (139721245*s[25])/16038 - (67968133*s[26])/16038 + 12*s[29] - 
       6*s[30] - 2*s[31] - s[33] + 8*s[34] + 6*s[35] + (116*s[36])/3 - 
       (107*s[37])/3 - 258*s[38] + (2197*s[39])/2 - (6979*s[40])/6 + 
       (1773*s[41])/2 - (9629*s[42])/6 - (53981*s[43])/66 + 
       (61349*s[44])/66 - (53905*s[45])/66 + (78967*s[46])/11 - 
       (102139*s[47])/198 + (18742*s[48])/99 + (772201*s[49])/198 - 
       (178336*s[50])/33 - (104695*s[51])/99 - (85924*s[52])/99 + 
       (83323*s[53])/22 - (1437*s[54])/11 + (765703*s[55])/33 + 
       (1218905*s[56])/198 - (5621111*s[57])/594 + (10641314*s[58])/891 - 
       (10782947*s[59])/891 - (16769836*s[60])/297 + (24158528*s[61])/8019 + 
       2*s[65] + 8*s[66] - 12*s[67] - 6*s[68] - 20*s[69] - 2*s[71] - 
       12*s[72] + 12*s[73] + 9*s[74] - 9*s[75] + 8*s[76] + 6*s[77] - 
       28*s[78] - 24*s[79] + (2*s[80])/3)*\[Zeta][2] + 
     K1[v, w, u]*(5*s[2] - (111*s[3])/2 - (2301*s[4])/4 - (1491*s[5])/11 - 
       (28251*s[6])/44 - (525413*s[7])/88 + (889993*s[8])/1188 + 
       (259027*s[9])/54 + (64811*s[10])/54 + (5377447*s[11])/792 + 
       (1570007*s[12])/198 + (3815569*s[13])/792 - (345425*s[14])/792 + 
       (530615*s[15])/72 + (974414*s[16])/99 + (5226853*s[17])/792 + 
       (166223*s[18])/162 + (292859*s[19])/324 + (38034959*s[20])/3564 + 
       (24820225*s[21])/7128 - (21973757*s[22])/7128 - (961756*s[23])/99 - 
       (10912421*s[24])/1782 + (74106950*s[25])/8019 - 
       (36252752*s[26])/8019 + 12*s[29] - 6*s[30] + 2*s[31] - s[33] + 
       8*s[34] + 6*s[35] + 36*s[36] - 39*s[37] - 274*s[38] + (2325*s[39])/2 - 
       (2473*s[40])/2 + (1877*s[41])/2 - (3395*s[42])/2 - (19087*s[43])/22 + 
       (21671*s[44])/22 - (18983*s[45])/22 + (83377*s[46])/11 - 
       (36049*s[47])/66 + (6214*s[48])/33 + (270991*s[49])/66 - 
       (62416*s[50])/11 - (37063*s[51])/33 - (30598*s[52])/33 + 
       (261769*s[53])/66 - (2381*s[54])/11 + (803237*s[55])/33 + 
       (432127*s[56])/66 - (2029033*s[57])/198 + (3773254*s[58])/297 - 
       (3806995*s[59])/297 - (5891845*s[60])/99 + (8520610*s[61])/2673 + 
       2*s[65] + 8*s[66] - 12*s[67] - 6*s[68] - 20*s[69] - 2*s[71] - 
       12*s[72] + 12*s[73] + 9*s[74] - 9*s[75] + 8*s[76] + 6*s[77] - 
       28*s[78] - 32*s[79] + 6*s[80])*\[Zeta][2] + 
     F1[v, w, u]*HPL[{1}, 1 - w]*(9*s[2] - 69*s[3] - 608*s[4] - 
       (1497*s[5])/11 - (14809*s[6])/22 - (829493*s[7])/132 + 
       (461147*s[8])/594 + (135647*s[9])/27 + (74657*s[10])/54 + 
       (2796143*s[11])/396 + (3216253*s[12])/396 + (482798*s[13])/99 - 
       (56789*s[14])/198 + (290653*s[15])/36 + (4183517*s[16])/396 + 
       (2944529*s[17])/396 + (167933*s[18])/162 + (85610*s[19])/81 + 
       (20409901*s[20])/1782 + (3326348*s[21])/891 - (5752853*s[22])/1782 - 
       (1915127*s[23])/198 - (5912668*s[24])/891 + (306759053*s[25])/32076 - 
       (151405175*s[26])/32076 + 12*s[29] - 6*s[30] + 2*s[31] - s[33] + 
       6*s[35] + (113*s[36])/3 - (86*s[37])/3 - 250*s[38] + (4505*s[39])/4 - 
       (14495*s[40])/12 + (3757*s[41])/4 - (19927*s[42])/12 - 
       (113317*s[43])/132 + (260717*s[44])/264 - (28793*s[45])/33 + 
       (336253*s[46])/44 - (394285*s[47])/792 + (114905*s[48])/792 + 
       (3260095*s[49])/792 - (192382*s[50])/33 - (869807*s[51])/792 - 
       (689531*s[52])/792 + (180265*s[53])/44 - (954*s[54])/11 + 
       (2216959*s[55])/88 + (5223269*s[56])/792 - (2724226*s[57])/297 + 
       (88761619*s[58])/7128 - (90554293*s[59])/7128 - 
       (288167545*s[60])/4752 + (208170841*s[61])/64152 + 2*s[65] + 8*s[66] - 
       12*s[67] - 4*s[68] - 22*s[69] - 2*s[71] - 12*s[72] + 12*s[73] + 
       9*s[74] - 9*s[75] + 4*s[76] + 8*s[77] - 26*s[78] - 40*s[79] + 
       (32*s[80])/3)*\[Zeta][2] + F1[w, u, v]*HPL[{1}, 1 - w]*
      ((-175*s[2])/2 + (65*s[3])/4 - (5101*s[4])/8 - (33179*s[5])/44 - 
       (137993*s[6])/88 - (21872665*s[7])/1584 + (656969*s[8])/792 + 
       (211795*s[9])/18 + (37771*s[10])/9 + (2651531*s[11])/176 + 
       (2083861*s[12])/132 + (14940461*s[13])/1584 + (474539*s[14])/176 + 
       (2787895*s[15])/144 + (4771495*s[16])/198 + (31880941*s[17])/1584 + 
       (20708*s[18])/9 + (187759*s[19])/72 + (22383407*s[20])/792 + 
       (50651899*s[21])/4752 - (34513603*s[22])/4752 - (4857481*s[23])/396 - 
       (4742857*s[24])/297 + (396945437*s[25])/21384 - 
       (227555393*s[26])/21384 + 3*s[30] - 24*s[31] + 15*s[32] - 10*s[33] + 
       43*s[34] - 3*s[35] + (190*s[36])/3 - 28*s[37] - 448*s[38] + 
       (6475*s[39])/4 - (21433*s[40])/12 + (5731*s[41])/4 - 
       (25895*s[42])/12 - (240167*s[43])/132 + (110485*s[44])/66 - 
       (22863*s[45])/11 + (1987721*s[46])/132 - (46105*s[47])/396 - 
       (87352*s[48])/99 + (3300067*s[49])/396 - (390821*s[50])/33 - 
       (251017*s[51])/198 - (392123*s[52])/396 + (1676435*s[53])/198 + 
       (64813*s[54])/66 + (3548923*s[55])/66 + (5031373*s[56])/396 - 
       (5880205*s[57])/1188 + (74142215*s[58])/3564 - (39944101*s[59])/1782 - 
       (305258065*s[60])/2376 + (407820229*s[61])/64152 + 16*s[68] - 
       32*s[69] - 2*s[70] + s[71] + 2*s[72] + 70*s[73] - (9*s[74])/2 + 
       (9*s[75])/2 + 46*s[76] + 21*s[77] - 54*s[78] - 60*s[79] - 452*s[82] - 
       16*s[85])*\[Zeta][2] + F1[u, v, w]*HPL[{1}, 1 - u]*
      (-72*s[2] + (145*s[3])/2 - (555*s[4])/4 - (6943*s[5])/11 - 
       (37709*s[6])/44 - (2106971*s[7])/264 + (84307*s[8])/396 + 
       (127819*s[9])/18 + (48995*s[10])/18 + (2241757*s[11])/264 + 
       (551513*s[12])/66 + (1302923*s[13])/264 + (671821*s[14])/264 + 
       (284281*s[15])/24 + (466834*s[16])/33 + (1125565*s[17])/88 + 
       (38638*s[18])/27 + (155375*s[19])/108 + (20672627*s[20])/1188 + 
       (16907071*s[21])/2376 - (10165907*s[22])/2376 - (161390*s[23])/33 - 
       (2787556*s[24])/297 + (52489465*s[25])/5346 - (33534097*s[26])/5346 - 
       8*s[29] + 6*s[30] - 30*s[31] + 9*s[32] - 14*s[33] + 48*s[34] - 
       6*s[35] + (164*s[36])/3 - (94*s[37])/3 - 253*s[38] + 685*s[39] - 
       (2279*s[40])/3 + (1211*s[41])/2 - (4775*s[42])/6 - (2981*s[43])/3 + 
       (9329*s[44])/12 - (8161*s[45])/6 + (50195*s[46])/6 + (3133*s[47])/18 - 
       (12803*s[48])/18 + (79385*s[49])/18 - (19964*s[50])/3 - 
       (3566*s[51])/9 - (12233*s[52])/36 + (87355*s[53])/18 + 
       (6167*s[54])/6 + (95542*s[55])/3 + (14409*s[56])/2 + (10244*s[57])/9 + 
       (288337*s[58])/27 - (644351*s[59])/54 - (1997648*s[60])/27 + 
       (1160033*s[61])/324 - 2*s[65] - 8*s[66] + 12*s[67] + 16*s[68] - 
       2*s[69] + 2*s[71] + 12*s[72] + 36*s[73] - 9*s[74] + 9*s[75] + 
       44*s[76] + 8*s[77] - 28*s[78] - 16*s[79] - (134*s[80])/3 - 452*s[82] - 
       16*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Phi6[u, v, w]*
      (-38*s[2] - (33*s[3])/2 - (1067*s[4])/4 - (651*s[5])/2 - 
       (3727*s[6])/4 - (381955*s[7])/72 + (56603*s[8])/108 + 
       (119291*s[9])/27 + (56537*s[10])/54 + (420107*s[11])/72 + 
       (116509*s[12])/18 + (282865*s[13])/72 + (70535*s[14])/72 + 
       (454399*s[15])/72 + (306839*s[16])/36 + (155971*s[17])/24 + 
       (119656*s[18])/81 + (3563*s[19])/324 + (3313897*s[20])/324 + 
       (2710469*s[21])/648 - (1753345*s[22])/648 - (298003*s[23])/36 - 
       (1493495*s[24])/324 + (21076351*s[25])/2916 - (12641101*s[26])/2916 + 
       2*s[29] - 18*s[31] + 3*s[32] + (11*s[33])/2 + 10*s[34] - 6*s[35] - 
       (31*s[36])/3 - 45*s[37] - 121*s[38] + (1853*s[39])/2 - 
       (6241*s[40])/6 + 761*s[41] - (9017*s[42])/6 - (33773*s[43])/66 + 
       (93613*s[44])/132 - (23009*s[45])/44 + (707227*s[46])/132 - 
       (280385*s[47])/396 + (176665*s[48])/396 + (858425*s[49])/396 - 
       (114931*s[50])/33 - (424591*s[51])/396 - (363097*s[52])/396 + 
       (1002359*s[53])/396 - (99829*s[54])/66 + (1943701*s[55])/132 + 
       (2289857*s[56])/396 - (7778263*s[57])/594 + (9501532*s[58])/891 - 
       (34783669*s[59])/3564 - (10490149*s[60])/297 + 
       (176484593*s[61])/64152 + 2*s[65] + 8*s[66] - 12*s[67] - 12*s[68] - 
       20*s[69] + 2*s[70] - 3*s[71] - 12*s[72] + 8*s[73] + 8*s[74] - 
       8*s[75] + 10*s[76] + s[77] - 32*s[78] - 98*s[79] + 95*s[80] + 
       44*s[82] + 3*s[83] + 6*s[84] - 16*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*Phi6[u, v, w]*(s[2] + 8*s[3] + 69*s[4] + 
       (1289*s[5])/22 + (2163*s[6])/11 + (293083*s[7])/264 - 
       (50321*s[8])/396 - (32689*s[9])/36 - (1829*s[10])/9 - 
       (319853*s[11])/264 - (90313*s[12])/66 - (216439*s[13])/264 - 
       (48629*s[14])/264 - (10503*s[15])/8 - (57296*s[16])/33 - 
       (114417*s[17])/88 - (8267*s[18])/27 - (733*s[19])/108 - 
       (1252385*s[20])/594 - (1989281*s[21])/2376 + (1312885*s[22])/2376 + 
       (238465*s[23])/132 + (1169711*s[24])/1188 - (16367335*s[25])/10692 + 
       (9709549*s[26])/10692 + s[32]/2 - (37*s[33])/4 + 7*s[34] - 2*s[35] + 
       (21*s[36])/2 + (73*s[37])/6 + (55*s[38])/2 - (1483*s[39])/8 + 
       (1783*s[40])/8 - (1285*s[41])/8 + (2361*s[42])/8 + (12549*s[43])/88 - 
       (26497*s[44])/176 + (5222*s[45])/33 - (346705*s[46])/264 + 
       (21753*s[47])/176 - (6737*s[48])/176 - (86379*s[49])/176 + 
       (18787*s[50])/22 + (114769*s[51])/528 + (35341*s[52])/176 - 
       (500219*s[53])/792 + (57361*s[54])/132 - (2049793*s[55])/528 - 
       (2301281*s[56])/1584 + (2793419*s[57])/1188 - (34297075*s[58])/14256 + 
       (31774573*s[59])/14256 + (29348383*s[60])/3168 - 
       (87684829*s[61])/128304 + s[71]/2 + 2*s[73] + s[74]/2 - s[75]/2 - 
       s[77] + s[78] + 34*s[79] - (89*s[80])/3 - 46*s[82] - (3*s[83])/2 - 
       3*s[84] + 4*s[85])*\[Zeta][2] + HPL[{1}, 1 - w]^2*Phi6[u, v, w]*
      ((9*s[2])/2 - (31*s[3])/4 - (473*s[4])/8 + (1171*s[5])/44 + 
       (4437*s[6])/88 - (116201*s[7])/528 + (76579*s[8])/2376 + 
       (4060*s[9])/27 + (12947*s[10])/108 + (417031*s[11])/1584 + 
       (230581*s[12])/792 + (260155*s[13])/1584 - (289043*s[14])/1584 + 
       (68597*s[15])/144 + (54541*s[16])/99 + (655729*s[17])/1584 - 
       (32539*s[18])/324 + (161957*s[19])/648 + (2696741*s[20])/7128 - 
       (131873*s[21])/14256 - (1791467*s[22])/14256 - (55063*s[23])/792 - 
       (3434797*s[24])/7128 + (14201071*s[25])/32076 - 
       (2972131*s[26])/32076 + 2*s[29] - s[30] + 3*s[31] + s[32]/2 - 
       9*s[33] + 5*s[34] - s[35] + 16*s[36] + (35*s[37])/3 - 18*s[38] + 
       32*s[39] - 12*s[40] + 28*s[41] - (51*s[42])/2 - (354*s[43])/11 + 
       (1069*s[44])/22 - (2593*s[45])/132 + (30673*s[46])/132 + 
       (10973*s[47])/264 - (8299*s[48])/264 + (90589*s[49])/264 - 
       (15141*s[50])/44 + (415*s[51])/88 + (1328*s[52])/33 + 
       (85967*s[53])/396 + (28265*s[54])/66 + (119635*s[55])/88 - 
       (94891*s[56])/792 + (933047*s[57])/1188 + (234733*s[58])/7128 - 
       (2117443*s[59])/7128 - (5046533*s[60])/1584 - (633415*s[61])/32076 + 
       s[65]/2 + 2*s[66] - 2*s[67] - s[68] - 5*s[69] + s[70] - 2*s[72] + 
       4*s[73] + 2*s[74] - 2*s[75] - 2*s[76] - s[77] - 4*s[78] + 24*s[79] - 
       (77*s[80])/3 - 46*s[82] - (3*s[83])/2 - 3*s[84] + 4*s[85])*
      \[Zeta][2] + F1[w, u, v]*HPL[{1}, 1 - u]*((133*s[2])/2 - (67*s[3])/4 + 
       (2403*s[4])/8 + (13689*s[5])/44 + (61791*s[6])/88 + 
       (3467929*s[7])/528 - (709525*s[8])/2376 - (150232*s[9])/27 - 
       (62339*s[10])/27 - (11294713*s[11])/1584 - (2872271*s[12])/396 - 
       (6841951*s[13])/1584 - (2263081*s[14])/1584 - (1393901*s[15])/144 - 
       (2346305*s[16])/198 - (16442143*s[17])/1584 - (131275*s[18])/162 - 
       (1118213*s[19])/648 - (97021229*s[20])/7128 - (70733635*s[21])/14256 + 
       (49146827*s[22])/14256 + (1575053*s[23])/396 + (14862619*s[24])/1782 - 
       (561157895*s[25])/64152 + (315445763*s[26])/64152 - 3*s[30] + 
       14*s[31] - 11*s[32] + (3*s[33])/2 - 21*s[34] + 9*s[35] - 
       (86*s[36])/3 - (23*s[37])/3 + 186*s[38] - (2005*s[39])/4 + 
       (7199*s[40])/12 - (2125*s[41])/4 + (6289*s[42])/12 + 
       (130465*s[43])/132 - (48107*s[44])/66 + (82235*s[45])/66 - 
       (1022765*s[46])/132 - (164203*s[47])/396 + (212143*s[48])/198 - 
       (1734407*s[49])/396 + (210163*s[50])/33 + (18397*s[51])/99 + 
       (39877*s[52])/396 - (458638*s[53])/99 - (76795*s[54])/66 - 
       (333013*s[55])/11 - (845039*s[56])/132 - (1924907*s[57])/396 - 
       (3396649*s[58])/396 + (332578*s[59])/33 + (169095671*s[60])/2376 - 
       (69833999*s[61])/21384 + 2*s[65] + 8*s[66] - 12*s[67] - 26*s[68] + 
       12*s[69] + 2*s[70] - 3*s[71] - 14*s[72] - 58*s[73] + (27*s[74])/2 - 
       (27*s[75])/2 - 42*s[76] - 15*s[77] + 26*s[78] + 36*s[79] + 
       (14*s[80])/3 + 452*s[82] + 16*s[85])*\[Zeta][2] + 
     F1[u, v, w]*HPL[{1}, 1 - w]*(51*s[2] - 73*s[3] - (397*s[4])/2 + 
       (4141*s[5])/22 - (98*s[6])/11 + (293237*s[7])/396 + 
       (188885*s[8])/594 - (24268*s[9])/27 - (45037*s[10])/54 - 
       (220369*s[11])/396 + (35117*s[12])/198 + (70243*s[13])/396 - 
       (505789*s[14])/396 - (77923*s[15])/36 - (187907*s[16])/99 - 
       (133927*s[17])/44 + (9641*s[18])/162 - (45079*s[19])/81 - 
       (2450791*s[20])/891 - (5055091*s[21])/3564 + (1650365*s[22])/3564 - 
       (336437*s[23])/99 + (3130813*s[24])/1782 - (48791*s[25])/16038 + 
       (8797187*s[26])/16038 + 8*s[29] - 6*s[30] + 20*s[31] - 5*s[32] + 
       (11*s[33])/2 - 26*s[34] + 12*s[35] - 20*s[36] - (13*s[37])/3 - 
       9*s[38] + (865*s[39])/2 - (853*s[40])/2 + 296*s[41] - 838*s[42] + 
       (3577*s[43])/22 + (7379*s[44])/44 + (17414*s[45])/33 - 
       (69667*s[46])/66 - (15513*s[47])/22 + (9904*s[48])/11 - 
       (10045*s[49])/22 + (12982*s[50])/11 - (45257*s[51])/66 - 
       (24187*s[52])/44 - (100873*s[53])/99 - (79819*s[54])/66 - 
       (183693*s[55])/22 - (178363*s[56])/198 - (6503567*s[57])/594 + 
       (2755945*s[58])/1782 - (360653*s[59])/891 + (6605105*s[60])/396 - 
       (15684151*s[61])/32076 + 4*s[65] + 16*s[66] - 24*s[67] - 26*s[68] - 
       18*s[69] - 4*s[71] - 24*s[72] - 24*s[73] + 18*s[74] - 18*s[75] - 
       40*s[76] - 2*s[77] - 8*s[79] + (148*s[80])/3 + 452*s[82] + 16*s[85])*
      \[Zeta][2] + HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*((131*s[2])/2 + 14*s[3] + 
       (1855*s[4])/2 + (8960*s[5])/11 + (42181*s[6])/22 + 
       (4470647*s[7])/264 - (117892*s[8])/99 - (511229*s[9])/36 - 
       (45697*s[10])/9 - (4908775*s[11])/264 - (2605045*s[12])/132 - 
       (3126779*s[13])/264 - (669151*s[14])/264 - (564499*s[15])/24 - 
       (3892927*s[16])/132 - (2131517*s[17])/88 - (287077*s[18])/108 - 
       (376469*s[19])/108 - (40164269*s[20])/1188 - (29598925*s[21])/2376 + 
       (20980829*s[22])/2376 + (530018*s[23])/33 + (11689019*s[24])/594 - 
       (498895777*s[25])/21384 + (277553917*s[26])/21384 - 4*s[29] - s[30] + 
       9*s[31] - 18*s[32] - (79*s[33])/4 - 29*s[34] + 2*s[35] - 
       (206*s[36])/3 + (65*s[37])/3 + 562*s[38] - 2108*s[39] + 
       (6947*s[40])/3 - (3743*s[41])/2 + (8527*s[42])/3 + (76759*s[43])/33 - 
       (288169*s[44])/132 + (322679*s[45])/132 - (821091*s[46])/44 + 
       (66785*s[47])/396 + (446681*s[48])/396 - (4274579*s[49])/396 + 
       (972107*s[50])/66 + (647509*s[51])/396 + (495391*s[52])/396 - 
       (1383211*s[53])/132 - (28373*s[54])/22 - (8688985*s[55])/132 - 
       (6046321*s[56])/396 + (1999495*s[57])/297 - (45817741*s[58])/1782 + 
       (99253955*s[59])/3564 + (47243584*s[60])/297 - 
       (495076057*s[61])/64152 - 2*s[65] - 7*s[66] + 8*s[67] - 15*s[68] + 
       58*s[69] + 6*s[70] + 4*s[72] - 88*s[73] + 3*s[74] - 3*s[75] - 
       31*s[76] - 36*s[77] + 74*s[78] + 54*s[79] - (95*s[80])/3 + 482*s[82] + 
       16*s[85])*\[Zeta][2] + HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      ((123*s[2])/2 - (161*s[3])/2 - (315*s[4])/4 + (25011*s[5])/44 + 
       (10577*s[6])/22 + (178076*s[7])/33 + (22963*s[8])/297 - 
       (135187*s[9])/27 - (244871*s[10])/108 - (1090373*s[11])/198 - 
       (1910879*s[12])/396 - (1088239*s[13])/396 - (248923*s[14])/99 - 
       (80300*s[15])/9 - (1972121*s[16])/198 - (2000003*s[17])/198 - 
       (75800*s[18])/81 - (97303*s[19])/81 - (22562717*s[20])/1782 - 
       (19697317*s[21])/3564 + (5223265*s[22])/1782 + (188671*s[23])/198 + 
       (6037994*s[24])/891 - (186799891*s[25])/32076 + 
       (136643701*s[26])/32076 + 20*s[29] - 7*s[30] + 31*s[31] - 12*s[32] + 
       (5*s[33])/4 - 43*s[34] + 8*s[35] - (109*s[36])/3 + (59*s[37])/6 + 
       141*s[38] - (579*s[39])/4 + (2077*s[40])/12 - (643*s[41])/4 - 
       (163*s[42])/12 + (78731*s[43])/132 - (89401*s[44])/264 + 
       (124393*s[45])/132 - (53162*s[46])/11 - (366391*s[47])/792 + 
       (684527*s[48])/792 - (2106887*s[49])/792 + (135665*s[50])/33 - 
       (124433*s[51])/792 - (106325*s[52])/792 - (100126*s[53])/33 - 
       (15105*s[54])/11 - (5474309*s[55])/264 - (3136453*s[56])/792 - 
       (1937383*s[57])/297 - (32665157*s[58])/7128 + (42062093*s[59])/7128 + 
       (224180147*s[60])/4752 - (65129137*s[61])/32076 + 3*s[65] + 9*s[66] - 
       16*s[67] - 19*s[68] - 2*s[70] - 3*s[71] - 16*s[72] - 44*s[73] + 
       12*s[74] - 12*s[75] - 29*s[76] - 4*s[77] + 12*s[78] - 4*s[79] + 
       (143*s[80])/3 + 482*s[82] + 16*s[85])*\[Zeta][2] + 
     Phi6[u, v, w]*(-42*s[2] - s[3] - (1253*s[4])/2 - (9443*s[5])/11 - 
       (35985*s[6])/22 - (5455415*s[7])/396 + (589207*s[8])/594 + 
       (319123*s[9])/27 + (98198*s[10])/27 + (5963365*s[11])/396 + 
       (1595798*s[12])/99 + (3812639*s[13])/396 + (989941*s[14])/396 + 
       (668509*s[15])/36 + (2315708*s[16])/99 + (826071*s[17])/44 + 
       (229691*s[18])/81 + (275201*s[19])/162 + (49905149*s[20])/1782 + 
       (38915959*s[21])/3564 - (25878791*s[22])/3564 - (1536388*s[23])/99 - 
       (12966749*s[24])/891 + (148926949*s[25])/8019 - 
       (87267733*s[26])/8019 - 28*s[31] + 8*s[32] - 17*s[33] + 44*s[34] + 
       12*s[35] + (224*s[36])/3 - (194*s[37])/3 - 492*s[38] + 2107*s[39] - 
       (6677*s[40])/3 + 1699*s[41] - (9247*s[42])/3 - (51571*s[43])/33 + 
       (58714*s[44])/33 - (51899*s[45])/33 + (152006*s[46])/11 - 
       (99146*s[47])/99 + (37639*s[48])/99 + (742058*s[49])/99 - 
       (343492*s[50])/33 - (201235*s[51])/99 - (164383*s[52])/99 + 
       (241253*s[53])/33 - (2106*s[54])/11 + (1475777*s[55])/33 + 
       (1170652*s[56])/99 - (5361475*s[57])/297 + (20429291*s[58])/891 - 
       (20708813*s[59])/891 - (64458401*s[60])/594 + (46772954*s[61])/8019 + 
       4*s[65] + 16*s[66] - 24*s[67] - 20*s[68] - 40*s[69] - 4*s[71] - 
       24*s[72] + 24*s[73] + 18*s[74] - 18*s[75] + 8*s[76] + 12*s[77] - 
       56*s[78] - 32*s[79] - (4*s[80])/3)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - w]*Phi6[u, v, w]*(s[2] + (49*s[3])/2 - (51*s[4])/4 + 
       (1883*s[5])/22 + (6595*s[6])/44 + (1019675*s[7])/792 + 
       (14081*s[8])/1188 - (59437*s[9])/54 - (37799*s[10])/54 - 
       (1015219*s[11])/792 - (433429*s[12])/396 - (456575*s[13])/792 - 
       (660577*s[14])/792 - (158101*s[15])/72 - (255334*s[16])/99 - 
       (238717*s[17])/88 - (29837*s[18])/162 - (135287*s[19])/324 - 
       (11765381*s[20])/3564 - (9112171*s[21])/7128 + (4729907*s[22])/7128 - 
       (245785*s[23])/396 + (6958249*s[24])/3564 - (21550021*s[25])/16038 + 
       (15345835*s[26])/16038 + 2*s[29] - 4*s[30] - 2*s[31] - (11*s[33])/2 + 
       10*s[34] + 2*s[35] + (29*s[36])/3 - (31*s[37])/2 - 28*s[38] + 
       (533*s[39])/4 - (1379*s[40])/12 + (277*s[41])/4 - (2539*s[42])/12 - 
       (2449*s[43])/132 + (9401*s[44])/264 + (2715*s[45])/44 - 
       (74*s[46])/33 - (137569*s[47])/792 + (213221*s[48])/792 + 
       (29995*s[49])/792 + (9475*s[50])/66 - (132419*s[51])/792 - 
       (120911*s[52])/792 - (7459*s[53])/99 - (7112*s[54])/33 - 
       (247967*s[55])/264 - (33155*s[56])/792 - (1634143*s[57])/594 + 
       (5350997*s[58])/7128 - (4673981*s[59])/7128 + (9500297*s[60])/4752 - 
       (2603663*s[61])/32076 + s[65] + 2*s[66] - 2*s[67] - 8*s[68] + 
       2*s[70] - s[71] - 4*s[72] + 8*s[73] + 2*s[74] - 2*s[75] + 6*s[76] - 
       4*s[77] - 12*s[78] + 4*s[79] - 7*s[80])*\[Zeta][3] + 
     F1[w, u, v]*(-2*s[5] + 12*s[6] + 12*s[7] + (2*s[8])/3 - (10*s[9])/3 - 
       (26*s[10])/3 - 12*s[11] - 12*s[12] - 14*s[13] - 8*s[14] + 2*s[15] - 
       12*s[16] - 6*s[17] - (56*s[18])/9 + (68*s[19])/9 - (44*s[20])/9 - 
       (146*s[21])/9 + (40*s[22])/9 - 10*s[23] - (56*s[24])/9 - 
       (473*s[25])/81 + (815*s[26])/81 - 2*s[29] + 2*s[31] + 2*s[32] - 
       2*s[34] + 2*s[55] - 12*s[56] + (10*s[57])/3 - (152*s[58])/9 + 
       (26*s[59])/9 + (4*s[60])/3 - (503*s[61])/81 - 2*s[76] + 2*s[80])*
      \[Zeta][3] + HPL[{1}, 1 - u]*Phi6[u, v, w]*(-s[2] - (49*s[3])/2 + 
       (51*s[4])/4 - (1883*s[5])/22 - (6595*s[6])/44 - (1019675*s[7])/792 - 
       (14081*s[8])/1188 + (59437*s[9])/54 + (37799*s[10])/54 + 
       (1015219*s[11])/792 + (433429*s[12])/396 + (456575*s[13])/792 + 
       (660577*s[14])/792 + (158101*s[15])/72 + (255334*s[16])/99 + 
       (238717*s[17])/88 + (29837*s[18])/162 + (135287*s[19])/324 + 
       (11765381*s[20])/3564 + (9112171*s[21])/7128 - (4729907*s[22])/7128 + 
       (245785*s[23])/396 - (6958249*s[24])/3564 + (21550021*s[25])/16038 - 
       (15345835*s[26])/16038 - 2*s[29] + 4*s[30] + 2*s[31] + (11*s[33])/2 - 
       10*s[34] - 2*s[35] - (29*s[36])/3 + (31*s[37])/2 + 28*s[38] - 
       (533*s[39])/4 + (1379*s[40])/12 - (277*s[41])/4 + (2539*s[42])/12 + 
       (2449*s[43])/132 - (9401*s[44])/264 - (2715*s[45])/44 + 
       (74*s[46])/33 + (137569*s[47])/792 - (213221*s[48])/792 - 
       (29995*s[49])/792 - (9475*s[50])/66 + (132419*s[51])/792 + 
       (120911*s[52])/792 + (7459*s[53])/99 + (7112*s[54])/33 + 
       (247967*s[55])/264 + (33155*s[56])/792 + (1634143*s[57])/594 - 
       (5350997*s[58])/7128 + (4673981*s[59])/7128 - (9500297*s[60])/4752 + 
       (2603663*s[61])/32076 - s[65] - 2*s[66] + 2*s[67] + 8*s[68] - 
       2*s[70] + s[71] + 4*s[72] - 8*s[73] - 2*s[74] + 2*s[75] - 6*s[76] + 
       4*s[77] + 12*s[78] - 4*s[79] + 7*s[80])*\[Zeta][3] + 
     F1[v, w, u]*((5*s[2])/2 + (105*s[3])/4 - (685*s[4])/8 - (241*s[5])/44 - 
       (2417*s[6])/88 - (721717*s[7])/1584 + (272311*s[8])/2376 + 
       (10756*s[9])/27 - (10433*s[10])/54 + (990739*s[11])/1584 + 
       (369689*s[12])/396 + (360023*s[13])/528 - (883517*s[14])/1584 + 
       (3995*s[15])/16 + (18195*s[16])/44 - (519931*s[17])/1584 + 
       (4442*s[18])/81 - (41581*s[19])/648 + (1579847*s[20])/7128 + 
       (331561*s[21])/14256 - (3763889*s[22])/14256 - (65233*s[23])/33 - 
       (659579*s[24])/3564 + (68542883*s[25])/64152 - 
       (25224695*s[26])/64152 + 2*s[29] - 3*s[30] - 6*s[31] - 8*s[33] + 
       13*s[34] + s[35] + (77*s[36])/3 - (35*s[37])/3 - 120*s[38] + 
       (731*s[39])/2 - (2119*s[40])/6 + (495*s[41])/2 - (1510*s[42])/3 - 
       (20039*s[43])/66 + (66731*s[44])/264 - (16477*s[45])/66 + 
       (23041*s[46])/11 - (142735*s[47])/792 + (108461*s[48])/792 + 
       (1016485*s[49])/792 - (99929*s[50])/66 - (271751*s[51])/792 - 
       (249143*s[52])/792 + (144527*s[53])/132 + (687*s[54])/22 + 
       (584587*s[55])/88 + (1256039*s[56])/792 - (3859519*s[57])/1188 + 
       (25902337*s[58])/7128 - (27317065*s[59])/7128 - 
       (78478075*s[60])/4752 + (24193043*s[61])/32076 + s[65] + 2*s[66] - 
       2*s[67] - 8*s[68] + 2*s[70] - 2*s[72] + 6*s[73] + (3*s[74])/2 - 
       (3*s[75])/2 + 8*s[76] - 5*s[77] - 10*s[78] + 24*s[79] - 
       (112*s[80])/3 + 280*s[82] + 48*s[85])*\[Zeta][3]
 
SuvwCoproductEntries[v] = -(A2[u, w, v]*HPL[{1}, 1 - w]*s[18]) + 
     A7[v, w, u]*HPL[{1}, 1 - w]*(s[8] - s[46]) + A2[v, u, w]*HPL[{1}, 1 - w]*
      (s[15] - s[51] + s[53] - s[54] + s[55]) + A3[u, v, w]*HPL[{1}, 1 - w]*
      (2*s[15] - 2*s[51] + 2*s[55]) + A1[v, u, w]*HPL[{1}, 1 - w]*s[56] - 
     A1[w, u, v]*HPL[{1}, 1 - w]*s[56] + H1[w, u, v]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*((43*s[5])/11 + (63*s[6])/22 + (2037*s[7])/44 - 
       (27*s[8])/11 - (81*s[9])/2 - 18*s[10] - (470*s[11])/11 - 
       (813*s[12])/22 - (393*s[13])/22 - (232*s[14])/11 - (327*s[15])/4 - 
       (3645*s[16])/44 - (970*s[17])/11 - (13*s[18])/2 - (23*s[19])/2 - 
       (2391*s[20])/22 - (442*s[21])/11 + (1543*s[22])/66 + (291*s[23])/44 + 
       (7471*s[24])/132 - (14639*s[25])/297 + (19369*s[26])/594 + 
       (27*s[43])/22 - (27*s[44])/44 + (54*s[45])/11 - (513*s[46])/22 - 
       (59*s[47])/44 - (15*s[48])/44 - (219*s[49])/44 + (225*s[50])/11 - 
       (27*s[51])/44 + (5*s[52])/44 - (799*s[53])/44 + (29*s[54])/11 - 
       (5157*s[55])/44 - (995*s[56])/44 - (683*s[57])/11 - (1931*s[58])/132 + 
       (2813*s[59])/132 + (57187*s[60])/264 - (7411*s[61])/594) + 
     A1[v, w, u]*HPL[{1}, 1 - w]*((7*s[5])/11 + (21*s[6])/22 + 
       (226*s[7])/33 - (7*s[8])/22 - (11*s[9])/2 - 2*s[10] - (359*s[11])/44 - 
       (487*s[12])/44 - (349*s[13])/66 - (63*s[14])/22 - 5*s[15] - 
       (353*s[16])/33 - (481*s[17])/132 - (103*s[18])/18 + (67*s[19])/18 - 
       (1744*s[20])/99 - (2113*s[21])/198 + (35*s[22])/11 + 
       (3283*s[23])/132 + (415*s[24])/132 - (25259*s[25])/3564 + 
       (27815*s[26])/3564 - (12*s[43])/11 - (9*s[44])/44 - (4*s[45])/11 - 
       (36*s[46])/11 + (10*s[47])/33 + (10*s[48])/33 + (80*s[49])/33 + 
       (51*s[50])/22 + (6*s[51])/11 + (5*s[52])/132 + s[53]/33 - 
       (5*s[54])/11 - (236*s[55])/33 - (104*s[56])/11 + (1813*s[57])/66 - 
       (323*s[58])/22 + (665*s[59])/66 + (3151*s[60])/198 - 
       (20663*s[61])/3564) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*J1[w, u, v]*
      ((57*s[5])/44 + (105*s[6])/88 + (3395*s[7])/176 - (45*s[8])/44 - 
       (135*s[9])/8 - (15*s[10])/2 - (399*s[11])/22 - (1443*s[12])/88 - 
       (743*s[13])/88 - (93*s[14])/11 - (513*s[15])/16 - (5899*s[16])/176 - 
       (757*s[17])/22 - (65*s[18])/24 - (115*s[19])/24 - (11779*s[20])/264 - 
       (1061*s[21])/66 + (867*s[22])/88 - (43*s[23])/176 + (4131*s[24])/176 - 
       (25249*s[25])/1188 + (32399*s[26])/2376 + (45*s[43])/88 - 
       (45*s[44])/176 + (45*s[45])/22 - (855*s[46])/88 - (157*s[47])/176 - 
       (25*s[48])/176 - (365*s[49])/176 + (375*s[50])/44 - (45*s[51])/176 + 
       (67*s[52])/176 - (1273*s[53])/176 + (63*s[54])/44 - (8243*s[55])/176 - 
       (1717*s[56])/176 - (1109*s[57])/44 - (1151*s[58])/176 + 
       (1465*s[59])/176 + (96485*s[60])/1056 - (12557*s[61])/2376) + 
     A1[w, v, u]*HPL[{1}, 1 - w]*(-s[4] + (15*s[5])/11 - (87*s[6])/22 - 
       (61*s[7])/33 + (7*s[8])/22 - s[9]/2 - 2*s[10] + (293*s[11])/44 + 
       (465*s[12])/44 + (877*s[13])/66 - (113*s[14])/22 - (17*s[15])/3 + 
       (56*s[16])/33 - (905*s[17])/132 - (89*s[18])/18 + (71*s[19])/18 - 
       (1094*s[20])/99 - (1253*s[21])/198 - (28*s[22])/33 + (215*s[23])/132 - 
       (1141*s[24])/132 + (49349*s[25])/3564 - (9137*s[26])/3564 - s[37] - 
       s[38] + 2*s[39] - 2*s[40] + s[41] - 2*s[42] - (43*s[43])/11 + 
       (119*s[44])/44 + (15*s[45])/11 + (36*s[46])/11 + (56*s[47])/33 - 
       (175*s[48])/33 + (481*s[49])/33 + (15*s[50])/22 + (4*s[51])/33 - 
       (71*s[52])/132 - s[53]/33 + (5*s[54])/11 - (347*s[55])/33 - 
       (50*s[56])/11 - (823*s[57])/66 + (81*s[58])/22 - (467*s[59])/66 - 
       (7243*s[60])/198 - (17815*s[61])/3564) + A10[u, v, w]*HPL[{1}, 1 - w]*
      (-8*s[4] + 6*s[6] + 6*s[7] + 10*s[8] - 14*s[9] - 8*s[10] - 10*s[11] - 
       12*s[12] - 30*s[13] - 42*s[14] + 18*s[15] + 6*s[16] + 2*s[17] - 
       (8*s[18])/3 + (14*s[19])/3 - (68*s[20])/3 - (58*s[21])/3 + 
       (22*s[22])/3 - 164*s[23] + 8*s[24] + (67*s[25])/27 + (293*s[26])/27 + 
       2*s[38] + 8*s[39] - 8*s[40] + 8*s[41] - 16*s[42] + 6*s[44] + 8*s[45] - 
       8*s[47] + 16*s[48] + 10*s[49] - 8*s[50] + 2*s[52] + 2*s[55] - 
       16*s[56] - 96*s[57] + 8*s[58] - 38*s[59] + (232*s[60])/3 - 
       (119*s[61])/27) + A5[v, w, u]*HPL[{1}, 1 - w]*
      ((3*s[4])/2 + s[5] + (5*s[6])/2 + (247*s[7])/12 - (13*s[8])/6 - 
       (50*s[9])/3 - (16*s[10])/3 - (83*s[11])/4 - 21*s[12] - 
       (143*s[13])/12 - (11*s[14])/4 - (383*s[15])/12 - (107*s[16])/3 - 
       (379*s[17])/12 - (29*s[18])/9 - (65*s[19])/18 - (727*s[20])/18 - 
       (175*s[21])/12 + (365*s[22])/36 + (70*s[23])/3 + (203*s[24])/9 - 
       (725*s[25])/27 + (410*s[26])/27 - (3*s[39])/2 + (3*s[40])/2 - 
       (3*s[41])/2 + (5*s[42])/2 + (3*s[43])/2 - (5*s[44])/4 + s[45] - 
       (23*s[46])/2 + (7*s[47])/12 - (11*s[48])/12 - (73*s[49])/12 + 
       9*s[50] + (17*s[51])/12 + (11*s[52])/12 - (23*s[53])/3 + 2*s[54] - 
       (533*s[55])/12 - (37*s[56])/4 - (2*s[57])/3 - (499*s[58])/36 + 
       (601*s[59])/36 + (6451*s[60])/72 - (473*s[61])/108) + 
     H1[v, w, u]*HPL[{1}, 1 - w]^2*((9*s[5])/11 + (21*s[6])/44 + 
       (679*s[7])/88 - (9*s[8])/22 - (27*s[9])/4 - 3*s[10] - (153*s[11])/22 - 
       (249*s[12])/44 - (87*s[13])/44 - (81*s[14])/22 - (121*s[15])/8 - 
       (1259*s[16])/88 - (169*s[17])/11 - (11*s[18])/12 - (25*s[19])/12 - 
       (2545*s[20])/132 - (232*s[21])/33 + (169*s[22])/44 + (273*s[23])/88 + 
       (2593*s[24])/264 - (4711*s[25])/594 + (6515*s[26])/1188 + 
       (9*s[43])/44 - (9*s[44])/88 + (9*s[45])/11 - (171*s[46])/44 + 
       (39*s[47])/88 - (5*s[48])/88 - (73*s[49])/88 + (75*s[50])/22 + 
       (35*s[51])/88 - (13*s[52])/88 - (325*s[53])/88 + (17*s[54])/22 - 
       (1851*s[55])/88 - (361*s[56])/88 - (235*s[57])/22 - (497*s[58])/264 + 
       (1055*s[59])/264 + (6315*s[60])/176 - (2507*s[61])/1188) + 
     HPL[{1}, 1 - w]^4*Phi6[u, v, w]*((9*s[5])/11 + (21*s[6])/44 + 
       (679*s[7])/88 - (9*s[8])/22 - (27*s[9])/4 - 3*s[10] - (153*s[11])/22 - 
       (249*s[12])/44 - (87*s[13])/44 - (81*s[14])/22 - (117*s[15])/8 - 
       (1259*s[16])/88 - (169*s[17])/11 - (11*s[18])/12 - (25*s[19])/12 - 
       (2545*s[20])/132 - (232*s[21])/33 + (169*s[22])/44 + (273*s[23])/88 + 
       (2593*s[24])/264 - (4711*s[25])/594 + (6515*s[26])/1188 + 
       (9*s[43])/44 - (9*s[44])/88 + (9*s[45])/11 - (171*s[46])/44 - 
       (5*s[47])/88 - (5*s[48])/88 - (73*s[49])/88 + (75*s[50])/22 - 
       (9*s[51])/88 - (13*s[52])/88 - (281*s[53])/88 + (17*s[54])/22 - 
       (1807*s[55])/88 - (361*s[56])/88 - (235*s[57])/22 - (497*s[58])/264 + 
       (1055*s[59])/264 + (6315*s[60])/176 - (2507*s[61])/1188) + 
     H1[u, v, w]*HPL[{1}, 1 - w]^2*((9*s[5])/11 + (21*s[6])/44 + 
       (679*s[7])/88 - (9*s[8])/22 - (27*s[9])/4 - 3*s[10] - (153*s[11])/22 - 
       (249*s[12])/44 - (131*s[13])/44 - (81*s[14])/22 - (121*s[15])/8 - 
       (1259*s[16])/88 - (180*s[17])/11 - (5*s[18])/4 - (7*s[19])/4 - 
       (775*s[20])/44 - (232*s[21])/33 + (169*s[22])/44 + (185*s[23])/88 + 
       (2417*s[24])/264 - (1541*s[25])/198 + (2113*s[26])/396 + 
       (9*s[43])/44 - (9*s[44])/88 + (9*s[45])/11 - (171*s[46])/44 - 
       (49*s[47])/88 - (5*s[48])/88 - (73*s[49])/88 + (75*s[50])/22 + 
       (35*s[51])/88 - (13*s[52])/88 - (237*s[53])/88 - (5*s[54])/22 - 
       (1851*s[55])/88 - (273*s[56])/88 - (235*s[57])/22 - (673*s[58])/264 + 
       (967*s[59])/264 + (18593*s[60])/528 - (259*s[61])/132) + 
     A4[w, u, v]*HPL[{1}, 1 - w]*(s[7]/6 + s[8]/9 + s[9]/9 - s[10]/9 + 
       s[11]/6 - (2*s[12])/3 + s[13]/3 - (5*s[14])/6 + (13*s[15])/6 + 
       (5*s[16])/6 + 3*s[17] - (70*s[18])/27 + (67*s[19])/27 - 
       (29*s[20])/54 - (13*s[21])/27 - (5*s[22])/54 + (29*s[23])/6 - 
       (161*s[24])/54 + (241*s[25])/486 + (37*s[26])/243 - s[43] + s[47]/6 + 
       s[48]/6 + (17*s[49])/6 + (3*s[51])/2 + s[52]/3 + (5*s[53])/6 + 
       2*s[54] + (19*s[55])/6 - (19*s[56])/6 + (74*s[57])/9 - 
       (149*s[58])/54 - (31*s[59])/54 - (347*s[60])/36 - (448*s[61])/243) + 
     A1[u, v, w]*HPL[{1}, 1 - w]*((15*s[5])/11 + (23*s[6])/22 + 
       (368*s[7])/33 - (23*s[8])/66 - (61*s[9])/6 - (13*s[10])/3 - 
       (389*s[11])/44 - (195*s[12])/44 - (113*s[13])/66 - (62*s[14])/11 - 
       26*s[15] - (703*s[16])/33 - (3809*s[17])/132 - s[18]/18 - 
       (77*s[19])/18 - (5147*s[20])/198 - (215*s[21])/22 + (1031*s[22])/198 + 
       (83*s[23])/132 + (6301*s[24])/396 - (12341*s[25])/1188 + 
       (9047*s[26])/1188 - s[37] + (12*s[43])/11 + (9*s[44])/44 + 
       (15*s[45])/11 - (63*s[46])/11 - (10*s[47])/33 - (10*s[48])/33 - 
       (80*s[49])/33 + (103*s[50])/22 - (6*s[51])/11 - (5*s[52])/132 - 
       (199*s[53])/33 + (5*s[54])/11 - (398*s[55])/11 - (39*s[56])/11 - 
       (1769*s[57])/66 + (377*s[58])/198 + (931*s[59])/198 + 
       (10775*s[60])/198 - (2015*s[61])/1188) + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*J1[u, v, w]*((-15*s[5])/44 + (21*s[6])/88 + 
       (679*s[7])/176 - (9*s[8])/44 - (27*s[9])/8 - (3*s[10])/2 - 
       (93*s[11])/22 - (447*s[12])/88 - (307*s[13])/88 - (12*s[14])/11 - 
       (45*s[15])/16 - (863*s[16])/176 - (59*s[17])/22 - (13*s[18])/24 - 
       (23*s[19])/24 - (2039*s[20])/264 - (133*s[21])/66 + (191*s[22])/88 - 
       (959*s[23])/176 + (791*s[24])/176 - (6581*s[25])/1188 + 
       (6691*s[26])/2376 + (9*s[43])/88 - (9*s[44])/176 + (9*s[45])/22 - 
       (171*s[46])/88 + (127*s[47])/176 - (5*s[48])/176 - (73*s[49])/176 + 
       (75*s[50])/44 - (9*s[51])/176 + (119*s[52])/176 - (149*s[53])/176 - 
       (27*s[54])/44 - (1015*s[55])/176 - (361*s[56])/176 - (169*s[57])/44 - 
       (371*s[58])/176 + (117*s[59])/176 + (21409*s[60])/1056 - 
       (2881*s[61])/2376) + A6[v, w, u]*HPL[{1}, 1 - w]*
      (s[5] + s[6] + s[7]/6 + (2*s[8])/9 + (2*s[9])/9 + (7*s[10])/9 + 
       s[11]/3 + (7*s[12])/6 + (5*s[13])/2 - (19*s[14])/6 - (25*s[15])/6 - 
       3*s[16] - (16*s[17])/3 - (53*s[18])/27 + (47*s[19])/27 - 
       (113*s[20])/27 - (199*s[21])/54 - (19*s[22])/54 + (27*s[23])/2 - 
       (79*s[24])/54 + (1055*s[25])/486 + (655*s[26])/486 + s[47]/6 + 
       s[48]/6 + (5*s[49])/6 - s[50] + s[51]/2 - (2*s[52])/3 + 2*s[54] - 
       (25*s[55])/6 - (17*s[56])/6 + (37*s[57])/9 - (73*s[58])/54 + 
       (163*s[59])/54 - (305*s[60])/36 - (254*s[61])/243) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*J1[v, w, u]*((51*s[5])/44 + 
       (21*s[6])/88 + (679*s[7])/176 - (9*s[8])/44 - (27*s[9])/8 - 
       (3*s[10])/2 - (30*s[11])/11 - (51*s[12])/88 + (89*s[13])/88 - 
       (57*s[14])/22 - (189*s[15])/16 - (1655*s[16])/176 - (145*s[17])/11 - 
       (13*s[18])/24 - (23*s[19])/24 - (2831*s[20])/264 - (331*s[21])/66 + 
       (147*s[22])/88 + (1417*s[23])/176 + (879*s[24])/176 - 
       (2753*s[25])/1188 + (6163*s[26])/2376 + (9*s[43])/88 - (9*s[44])/176 + 
       (9*s[45])/22 - (171*s[46])/88 - (137*s[47])/176 - (5*s[48])/176 - 
       (73*s[49])/176 + (75*s[50])/44 - (9*s[51])/176 - (145*s[52])/176 - 
       (413*s[53])/176 + (39*s[54])/44 - (2599*s[55])/176 - (449*s[56])/176 - 
       (301*s[57])/44 - (19*s[58])/176 + (557*s[59])/176 + 
       (16129*s[60])/1056 - (1957*s[61])/2376) + A2[u, v, w]*HPL[{1}, 1 - w]*
      (s[6] - s[10] + s[12] - 2*s[15] - s[16] - s[17] - (2*s[18])/3 + 
       (2*s[19])/3 - (2*s[20])/3 - (7*s[21])/3 + 2*s[23] - s[24] + 
       (17*s[25])/27 + (46*s[26])/27 - s[47] + s[48] - s[51] - 2*s[55] - 
       s[56] + s[57] - s[58] + 2*s[59] - (13*s[60])/6 - (16*s[61])/27) + 
     A6[w, u, v]*HPL[{1}, 1 - w]*(s[4] + s[7]/6 - (4*s[8])/9 - (4*s[9])/9 - 
       (5*s[10])/9 + s[11]/3 + (7*s[12])/6 + (3*s[13])/2 + (5*s[14])/6 - 
       (25*s[15])/6 - 2*s[16] - (10*s[17])/3 + (7*s[18])/27 - (22*s[19])/27 - 
       (35*s[20])/27 - (43*s[21])/54 + (11*s[22])/54 + (5*s[23])/2 + 
       (41*s[24])/54 + (221*s[25])/486 + (85*s[26])/486 - s[41] + s[47]/6 + 
       s[48]/6 - s[49]/6 + s[50] + s[51]/2 - (2*s[52])/3 - 2*s[54] - 
       (25*s[55])/6 + (7*s[56])/6 - (11*s[57])/9 + (29*s[58])/54 + 
       (61*s[59])/54 + (61*s[60])/36 - (14*s[61])/243) + 
     A4[v, w, u]*HPL[{1}, 1 - w]*(-s[6] - (2*s[8])/9 - (2*s[9])/9 - 
       (7*s[10])/9 + s[11]/6 + (5*s[12])/6 + (7*s[13])/6 + (5*s[14])/3 - 
       (16*s[15])/3 - (17*s[16])/6 - (13*s[17])/3 + (20*s[18])/27 - 
       (41*s[19])/27 - (119*s[20])/54 - (95*s[21])/54 + (5*s[22])/27 + 
       (11*s[23])/3 + (53*s[24])/27 + (307*s[25])/486 + (193*s[26])/243 - 
       s[37] + s[50] - (5*s[53])/6 - 2*s[54] - (22*s[55])/3 + (4*s[56])/3 - 
       (16*s[57])/9 + (5*s[58])/27 + (76*s[59])/27 + (17*s[60])/3 + 
       (25*s[61])/486) + A2[w, u, v]*HPL[{1}, 1 - w]*
      (s[5] + s[11] + 3*s[12] + 4*s[13] - s[14] - 5*s[15] - 3*s[16] - 
       7*s[17] + s[18]/3 - s[19]/3 - (8*s[20])/3 - 2*s[21] - s[22]/3 + 
       10*s[23] + s[24] + 2*s[25] - s[51] - s[52] - s[53] + s[54] - 5*s[55] - 
       2*s[57] + 2*s[58] + 2*s[59] - (8*s[60])/3 + s[61]/9) + 
     A9[u, v, w]*HPL[{1}, 1 - w]*(s[4]/2 - s[5]/2 + s[6] + s[7]/4 - s[8] + 
       s[9]/2 + s[10]/2 - (3*s[11])/4 - (3*s[12])/2 - (7*s[13])/4 + 
       (3*s[14])/4 + (7*s[15])/12 + s[16]/2 + (9*s[17])/4 + (5*s[18])/6 + 
       s[19]/6 + (11*s[20])/6 + (7*s[21])/4 + s[22]/12 - s[23]/2 + s[24]/6 - 
       (257*s[25])/108 + (41*s[26])/108 - s[39]/2 + s[40]/2 - s[41]/2 + 
       s[42]/2 + s[43]/2 - s[44]/4 - s[45]/2 + s[47]/4 + (3*s[48])/4 - 
       (7*s[49])/4 + (17*s[51])/12 + s[52]/4 + (19*s[55])/12 + (3*s[56])/4 + 
       3*s[57] - (7*s[58])/12 + (7*s[59])/12 + (43*s[60])/24 + 
       (10*s[61])/27) + A2[w, v, u]*HPL[{1}, 1 - w]*(-s[13] - s[16] - s[17] - 
       s[21]/3 - s[23] - s[24]/3 + s[25]/6 + s[26]/6 - s[49] - 2*s[51] - 
       2*s[54] - s[55] + s[56] - s[58]/3 + s[59]/3 + (5*s[60])/6 + 
       (7*s[61])/18) + A2[v, w, u]*HPL[{1}, 1 - w]*(2*s[15] + s[16] + s[17] + 
       s[18]/3 - s[19]/3 + (4*s[20])/3 + (7*s[21])/3 + (2*s[24])/3 - 
       (25*s[25])/27 - (38*s[26])/27 + 2*s[54] + 3*s[55] + (2*s[58])/3 - 
       (5*s[59])/3 + (5*s[60])/3 + (11*s[61])/27) + 
     HPL[{1}, 1 - w]^2*J1[v, w, u]*((-9*s[5])/44 - (21*s[6])/176 - 
       (679*s[7])/352 + (9*s[8])/88 + (27*s[9])/16 + (3*s[10])/4 + 
       (153*s[11])/88 + (249*s[12])/176 + (175*s[13])/176 + (81*s[14])/88 + 
       (121*s[15])/32 + (1259*s[16])/352 + (191*s[17])/44 + (19*s[18])/48 + 
       (17*s[19])/48 + (2105*s[20])/528 + (58*s[21])/33 - (169*s[22])/176 - 
       (97*s[23])/352 - (747*s[24])/352 + (4535*s[25])/2376 - 
       (6163*s[26])/4752 - (9*s[43])/176 + (9*s[44])/352 - (9*s[45])/44 + 
       (171*s[46])/176 + (137*s[47])/352 + (5*s[48])/352 + (73*s[49])/352 - 
       (75*s[50])/88 - (35*s[51])/352 + (13*s[52])/352 + (149*s[53])/352 + 
       (27*s[54])/88 + (1851*s[55])/352 + (361*s[56])/352 + (235*s[57])/88 + 
       (283*s[58])/352 - (293*s[59])/352 - (18241*s[60])/2112 + 
       (2155*s[61])/4752) + HPL[{1}, 1 - w]^2*J1[u, v, w]*
      ((-9*s[5])/44 - (21*s[6])/176 - (679*s[7])/352 + (9*s[8])/88 + 
       (27*s[9])/16 + (3*s[10])/4 + (153*s[11])/88 + (249*s[12])/176 + 
       (43*s[13])/176 + (81*s[14])/88 + (121*s[15])/32 + (1259*s[16])/352 + 
       (79*s[17])/22 + (7*s[18])/48 + (29*s[19])/48 + (2765*s[20])/528 + 
       (58*s[21])/33 - (169*s[22])/176 - (361*s[23])/352 - (923*s[24])/352 + 
       (4799*s[25])/2376 - (6691*s[26])/4752 - (9*s[43])/176 + 
       (9*s[44])/352 - (9*s[45])/44 + (171*s[46])/176 - (127*s[47])/352 + 
       (5*s[48])/352 + (73*s[49])/352 - (75*s[50])/88 - (35*s[51])/352 + 
       (13*s[52])/352 + (413*s[53])/352 - (39*s[54])/88 + (1851*s[55])/352 + 
       (449*s[56])/352 + (235*s[57])/88 + (107*s[58])/352 - (381*s[59])/352 - 
       (19297*s[60])/2112 + (2683*s[61])/4752) + A6[u, v, w]*HPL[{1}, 1 - w]*
      ((2*s[18])/3 - (2*s[19])/3 + (2*s[20])/3 + 2*s[21] + s[24] - 
       (49*s[25])/54 - (59*s[26])/54 - s[49] + s[56] + s[58] - s[59] + 
       (19*s[60])/6 + (35*s[61])/54) + A1[u, w, v]*HPL[{1}, 1 - w]*
      ((-15*s[5])/11 - (23*s[6])/22 - (368*s[7])/33 + (23*s[8])/66 + 
       (61*s[9])/6 + (13*s[10])/3 + (389*s[11])/44 + (195*s[12])/44 + 
       (113*s[13])/66 + (62*s[14])/11 + 26*s[15] + (703*s[16])/33 + 
       (3809*s[17])/132 + s[18]/18 + (77*s[19])/18 + (5147*s[20])/198 + 
       (689*s[21])/66 - (1031*s[22])/198 + (181*s[23])/132 - 
       (6301*s[24])/396 + (11945*s[25])/1188 - (9443*s[26])/1188 - 
       (12*s[43])/11 - (9*s[44])/44 - (15*s[45])/11 + (63*s[46])/11 + 
       (10*s[47])/33 + (10*s[48])/33 + (80*s[49])/33 - (103*s[50])/22 + 
       (6*s[51])/11 + (5*s[52])/132 + (199*s[53])/33 - (5*s[54])/11 + 
       (398*s[55])/11 + (39*s[56])/11 + (1901*s[57])/66 - (377*s[58])/198 - 
       (931*s[59])/198 - (10775*s[60])/198 + (1619*s[61])/1188) + 
     A7[w, u, v]*HPL[{1}, 1 - w]*(-2*s[6] - 2*s[7] + s[9] + s[10] + 2*s[11] + 
       s[12] + 2*s[13] + 2*s[14] + 2*s[16] + s[17] + (5*s[18])/3 - 
       (5*s[19])/3 + (8*s[20])/3 + (5*s[21])/3 - (2*s[22])/3 + s[24] + 
       (41*s[25])/18 - (35*s[26])/18 + s[38] + s[46] + 2*s[56] - s[57] + 
       2*s[58] + (2*s[60])/3 + (3*s[61])/2) + A8[u, v, w]*HPL[{1}, 1 - w]*
      (4*s[6] + s[7]/2 - (3*s[11])/2 - (9*s[13])/2 - (9*s[14])/2 + 
       (5*s[15])/6 - s[16] - (7*s[17])/2 + (8*s[18])/3 - (2*s[19])/3 + 
       (8*s[20])/3 + s[21]/6 + s[22]/6 - 17*s[23] + 3*s[24] - 
       (125*s[25])/54 + (89*s[26])/54 - s[42] + 2*s[43] - s[44]/2 - 
       (3*s[47])/2 + (9*s[48])/2 - (11*s[49])/2 - 2*s[50] - (5*s[51])/6 - 
       s[52]/2 + (11*s[55])/6 + (3*s[56])/2 - 15*s[57] + (9*s[58])/2 - 
       (5*s[59])/2 + (161*s[60])/12 + (56*s[61])/27) + 
     HPL[{1}, 1 - w]^2*J1[w, u, v]*((-45*s[5])/44 - (105*s[6])/176 - 
       (3395*s[7])/352 + (45*s[8])/88 + (135*s[9])/16 + (15*s[10])/4 + 
       (765*s[11])/88 + (1245*s[12])/176 + (479*s[13])/176 + (405*s[14])/88 + 
       (581*s[15])/32 + (6295*s[16])/352 + (214*s[17])/11 + (59*s[18])/48 + 
       (121*s[19])/48 + (12505*s[20])/528 + (290*s[21])/33 - 
       (845*s[22])/176 - (1277*s[23])/352 - (4263*s[24])/352 + 
       (23467*s[25])/2376 - (32399*s[26])/4752 - (45*s[43])/176 + 
       (45*s[44])/352 - (45*s[45])/44 + (855*s[46])/176 + (157*s[47])/352 + 
       (25*s[48])/352 + (365*s[49])/352 - (375*s[50])/88 + (89*s[51])/352 + 
       (65*s[52])/352 + (1273*s[53])/352 - (63*s[54])/88 + (8991*s[55])/352 + 
       (1717*s[56])/352 + (1175*s[57])/88 + (887*s[58])/352 - 
       (1729*s[59])/352 - (94373*s[60])/2112 + (12359*s[61])/4752) + 
     H1[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*((-29*s[5])/11 - 
       (21*s[6])/22 - (679*s[7])/44 + (9*s[8])/11 + (27*s[9])/2 + 6*s[10] + 
       (142*s[11])/11 + (183*s[12])/22 + (43*s[13])/22 + (92*s[14])/11 + 
       (141*s[15])/4 + (1391*s[16])/44 + (426*s[17])/11 + (13*s[18])/6 + 
       (23*s[19])/6 + (2567*s[20])/66 + (530*s[21])/33 - (485*s[22])/66 - 
       (625*s[23])/44 - (2549*s[24])/132 + (1343*s[25])/99 - 
       (2113*s[26])/198 - (9*s[43])/22 + (9*s[44])/44 - (18*s[45])/11 + 
       (171*s[46])/22 + (49*s[47])/44 + (5*s[48])/44 + (73*s[49])/44 - 
       (75*s[50])/11 + (9*s[51])/44 + (57*s[52])/44 + (325*s[53])/44 - 
       (17*s[54])/11 + (2071*s[55])/44 + (361*s[56])/44 + (257*s[57])/11 + 
       (409*s[58])/132 - (1231*s[59])/132 - (5963*s[60])/88 + 
       (755*s[61])/198) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*Phi6[u, v, w]*
      ((-18*s[5])/11 - (21*s[6])/22 - (679*s[7])/44 + (9*s[8])/11 + 
       (27*s[9])/2 + 6*s[10] + (153*s[11])/11 + (249*s[12])/22 + 
       (109*s[13])/22 + (81*s[14])/11 + (117*s[15])/4 + (1259*s[16])/44 + 
       (349*s[17])/11 + (13*s[18])/6 + (23*s[19])/6 + (2435*s[20])/66 + 
       (464*s[21])/33 - (169*s[22])/22 - (229*s[23])/44 - (835*s[24])/44 + 
       (4667*s[25])/297 - (6427*s[26])/594 - (9*s[43])/22 + (9*s[44])/44 - 
       (18*s[45])/11 + (171*s[46])/22 + (49*s[47])/44 + (5*s[48])/44 + 
       (73*s[49])/44 - (75*s[50])/11 + (9*s[51])/44 + (13*s[52])/44 + 
       (281*s[53])/44 - (17*s[54])/11 + (1807*s[55])/44 + (361*s[56])/44 + 
       (235*s[57])/11 + (195*s[58])/44 - (337*s[59])/44 - (18769*s[60])/264 + 
       (2419*s[61])/594) + H1[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      ((-7*s[5])/11 - (21*s[6])/22 - (679*s[7])/44 + (9*s[8])/11 + 
       (27*s[9])/2 + 6*s[10] + (164*s[11])/11 + (315*s[12])/22 + 
       (175*s[13])/22 + (70*s[14])/11 + (93*s[15])/4 + (1127*s[16])/44 + 
       (272*s[17])/11 + (13*s[18])/6 + (23*s[19])/6 + (2303*s[20])/66 + 
       (398*s[21])/33 - (529*s[22])/66 + (167*s[23])/44 - (2461*s[24])/132 + 
       (5305*s[25])/297 - (6515*s[26])/594 - (9*s[43])/22 + (9*s[44])/44 - 
       (18*s[45])/11 + (171*s[46])/22 - (39*s[47])/44 + (5*s[48])/44 + 
       (73*s[49])/44 - (75*s[50])/11 + (9*s[51])/44 - (31*s[52])/44 + 
       (237*s[53])/44 + (5*s[54])/11 + (1543*s[55])/44 + (273*s[56])/44 + 
       (213*s[57])/11 + (761*s[58])/132 - (791*s[59])/132 - 
       (19649*s[60])/264 + (2573*s[61])/594) + H1[w, u, v]*HPL[{1}, 1 - w]^2*
      ((-27*s[5])/11 - (63*s[6])/44 - (2037*s[7])/88 + (27*s[8])/22 + 
       (81*s[9])/4 + 9*s[10] + (459*s[11])/22 + (747*s[12])/44 + 
       (305*s[13])/44 + (243*s[14])/22 + (355*s[15])/8 + (3777*s[16])/88 + 
       (518*s[17])/11 + (37*s[18])/12 + (71*s[19])/12 + (7415*s[20])/132 + 
       (232*s[21])/11 - (507*s[22])/44 - (731*s[23])/88 - (7603*s[24])/264 + 
       (14045*s[25])/594 - (19369*s[26])/1188 - (27*s[43])/44 + 
       (27*s[44])/88 - (27*s[45])/11 + (513*s[46])/44 + (59*s[47])/88 + 
       (15*s[48])/88 + (219*s[49])/88 - (225*s[50])/22 - (17*s[51])/88 + 
       (39*s[52])/88 + (799*s[53])/88 - (29*s[54])/22 + (5465*s[55])/88 + 
       (995*s[56])/88 + (705*s[57])/22 + (1667*s[58])/264 - 
       (3077*s[59])/264 - (56483*s[60])/528 + (7345*s[61])/1188) + 
     A5[w, u, v]*HPL[{1}, 1 - w]*((-5*s[5])/2 - (5*s[6])/2 - (137*s[7])/6 + 
       (7*s[8])/6 + (121*s[9])/6 + (47*s[10])/6 + (43*s[11])/2 + 
       (39*s[12])/2 + (29*s[13])/3 + 11*s[14] + (113*s[15])/3 + 
       (241*s[16])/6 + (121*s[17])/3 + (121*s[18])/18 + (10*s[19])/9 + 
       (485*s[20])/9 + (143*s[21])/6 - (104*s[22])/9 - (119*s[23])/6 - 
       (409*s[24])/18 + (2497*s[25])/108 - (1993*s[26])/108 - s[44]/2 - 
       (5*s[45])/2 + (23*s[46])/2 + s[47]/6 + s[48]/6 - s[49]/6 - 9*s[50] - 
       s[51]/6 - s[52]/6 + (23*s[53])/3 - 2*s[54] + (325*s[55])/6 + 
       (31*s[56])/2 + (29*s[57])/3 + (130*s[58])/9 - (275*s[59])/18 - 
       (815*s[60])/9 + (865*s[61])/108) + F1[u, v, w]*HPL[{0, 0, 1}, 1 - u]*
      (-2*s[2] - 24*s[3] + (149*s[4])/4 + (3269*s[5])/44 + (4095*s[6])/44 + 
       (279955*s[7])/264 - (31579*s[8])/396 - (33947*s[9])/36 - 
       (2257*s[10])/9 - (79033*s[11])/66 - (355295*s[12])/264 - 
       (71803*s[13])/88 - (32119*s[14])/264 - (31703*s[15])/24 - 
       (37311*s[16])/22 - (156793*s[17])/132 - (23035*s[18])/108 - 
       (13229*s[19])/108 - (1253473*s[20])/594 - (1968949*s[21])/2376 + 
       (1374209*s[22])/2376 + (103549*s[23])/88 + (2728433*s[24])/2376 - 
       (3980117*s[25])/2673 + (4594423*s[26])/5346 - (3*s[32])/2 + 
       (11*s[37])/2 + 77*s[38] - (455*s[39])/2 + (477*s[40])/2 - 
       (355*s[41])/2 + 295*s[42] + (425*s[43])/2 - (805*s[44])/4 + 
       222*s[45] - (3343*s[46])/2 + (259*s[47])/4 + (201*s[48])/4 - 
       (3831*s[49])/4 + 1263*s[50] + (2389*s[51])/12 + (691*s[52])/4 - 
       (2584*s[53])/3 - 13*s[54] - (66377*s[55])/12 - (16223*s[56])/12 + 
       (12578*s[57])/9 - (279103*s[58])/108 + (286933*s[59])/108 + 
       (337393*s[60])/24 - (658261*s[61])/972 - s[68] - s[69] + 2*s[73] - 
       s[77]) + HPL[{0, 0, 0, 1}, 1 - u]*Phi6[u, v, w]*
      (2*s[2] + 44*s[3] + (41*s[4])/4 - (1975*s[5])/44 + (871*s[6])/44 - 
       (42805*s[7])/264 + (7837*s[8])/396 + (7613*s[9])/36 - (569*s[10])/9 + 
       (15361*s[11])/66 + (93353*s[12])/264 + (19565*s[13])/88 - 
       (20375*s[14])/264 + (169*s[15])/24 + (1559*s[16])/22 - 
       (30209*s[17])/132 + (11515*s[18])/108 - (13105*s[19])/108 + 
       (150505*s[20])/594 + (492427*s[21])/2376 - (291239*s[22])/2376 - 
       (58879*s[23])/88 + (27961*s[24])/2376 + (703730*s[25])/2673 - 
       (1095187*s[26])/5346 + (3*s[32])/2 - (11*s[37])/2 - 77*s[38] + 
       (455*s[39])/2 - (477*s[40])/2 + (355*s[41])/2 - 295*s[42] - 
       (425*s[43])/2 + (805*s[44])/4 - 222*s[45] + (3343*s[46])/2 - 
       (259*s[47])/4 - (201*s[48])/4 + (3831*s[49])/4 - 1263*s[50] - 
       (2389*s[51])/12 - (691*s[52])/4 + (2584*s[53])/3 + 13*s[54] + 
       (66377*s[55])/12 + (16223*s[56])/12 - (12578*s[57])/9 + 
       (279103*s[58])/108 - (286933*s[59])/108 - (337393*s[60])/24 + 
       (658261*s[61])/972 + s[68] + s[69] - 2*s[73] + s[77]) + 
     F1[w, u, v]*HPL[{0, 0, 1}, 1 - w]*(-11*s[3] + (451*s[4])/4 + 
       (2575*s[5])/44 + (3419*s[6])/22 + (1333103*s[7])/792 - 
       (82955*s[8])/594 - (154451*s[9])/108 - (47311*s[10])/108 - 
       (1494019*s[11])/792 - (417851*s[12])/198 - (1034885*s[13])/792 - 
       (72967*s[14])/792 - (157447*s[15])/72 - (1114885*s[16])/396 - 
       (539857*s[17])/264 - (76837*s[18])/324 - (103247*s[19])/324 - 
       (11560541*s[20])/3564 - (8032063*s[21])/7128 + (6437405*s[22])/7128 + 
       (185396*s[23])/99 + (3487337*s[24])/1782 - (157754485*s[25])/64152 + 
       (82238221*s[26])/64152 - s[30] - 3*s[35] - (35*s[36])/6 + 
       (43*s[37])/6 + 75*s[38] - (2115*s[39])/8 + (7277*s[40])/24 - 
       (1927*s[41])/8 + (8857*s[42])/24 + (69151*s[43])/264 - 
       (141509*s[44])/528 + (32075*s[45])/132 - (533507*s[46])/264 + 
       (76141*s[47])/1584 + (132043*s[48])/1584 - (1882471*s[49])/1584 + 
       (106411*s[50])/66 + (384875*s[51])/1584 + (306431*s[52])/1584 - 
       (851515*s[53])/792 - (4655*s[54])/66 - (3648577*s[55])/528 - 
       (871183*s[56])/528 + (598265*s[57])/396 - (4821559*s[58])/1584 + 
       (5057489*s[59])/1584 + (166325197*s[60])/9504 - 
       (33484763*s[61])/42768 - 3*s[68] + s[69] + 2*s[76] - 3*s[77] - s[78] + 
       38*s[79] - (26*s[80])/3) + G[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      (-2*s[2] - 18*s[3] - (19*s[4])/2 - (1015*s[5])/44 - (1913*s[6])/44 - 
       (12599*s[7])/44 - (2309*s[8])/594 + (26221*s[9])/108 + 
       (12443*s[10])/108 + (57521*s[11])/198 + (25379*s[12])/99 + 
       (33617*s[13])/198 + (24533*s[14])/198 + (17051*s[15])/36 + 
       (210205*s[16])/396 + (104165*s[17])/198 + (25187*s[18])/324 + 
       (13033*s[19])/324 + (578044*s[20])/891 + (1021249*s[21])/3564 - 
       (513749*s[22])/3564 - (80027*s[23])/396 - (1121261*s[24])/3564 + 
       (5229899*s[25])/16038 - (1901362*s[26])/8019 - 2*s[29] - 2*s[31] - 
       s[32]/2 - 3*s[33] + 4*s[34] - s[35] + 2*s[36] + (17*s[37])/6 - 
       (7*s[38])/2 - s[39]/4 - (47*s[40])/4 + (23*s[41])/2 + 4*s[42] - 
       (757*s[43])/44 + (637*s[44])/44 - (4673*s[45])/132 + (9469*s[46])/66 + 
       (1475*s[47])/66 - (6257*s[48])/132 + (3979*s[49])/66 - 
       (5551*s[50])/44 - (39*s[51])/22 - (145*s[52])/33 + (8914*s[53])/99 + 
       (3077*s[54])/132 + (22096*s[55])/33 + (30295*s[56])/198 + 
       (144811*s[57])/1188 + (631339*s[58])/3564 - (376163*s[59])/1782 - 
       (347057*s[60])/264 + (1282889*s[61])/16038 - s[65]/2 - s[66] + 
       2*s[67] + 2*s[68] + 3*s[69] + s[71]/2 + 2*s[72] + 2*s[76] - 
       (10*s[80])/3) + A11[u, v, w]*HPL[{1}, 1 - w]*(5*s[2] - 8*s[3] - 
       (135*s[4])/4 + (636*s[5])/11 + (2111*s[6])/44 + (29169*s[7])/88 + 
       (18611*s[8])/594 - (36649*s[9])/108 - (8203*s[10])/54 - 
       (251633*s[11])/792 - (91385*s[12])/396 - (99389*s[13])/792 - 
       (243233*s[14])/792 - (40309*s[15])/72 - (60331*s[16])/99 - 
       (552653*s[17])/792 - (16951*s[18])/162 - (913*s[19])/81 - 
       (1638581*s[20])/1782 - (3338177*s[21])/7128 + (1329877*s[22])/7128 - 
       (40687*s[23])/396 + (674365*s[24])/1782 - (16093907*s[25])/64152 + 
       (18809315*s[26])/64152 + 2*s[29] - s[30] + 3*s[31] - s[32]/2 + 
       (9*s[33])/4 - 4*s[34] + s[35] - 2*s[36] + (19*s[37])/6 + (3*s[38])/2 + 
       (67*s[39])/2 - (67*s[40])/2 + (127*s[41])/4 - (259*s[42])/4 + 
       (87*s[43])/22 + (2015*s[44])/88 + (2315*s[45])/33 - (4949*s[46])/33 - 
       (9959*s[47])/264 + (12745*s[48])/264 + (10121*s[49])/264 + 
       (4363*s[50])/44 - (4299*s[51])/88 - (6463*s[52])/264 - 
       (9343*s[53])/99 - (3077*s[54])/132 - (221945*s[55])/264 - 
       (207739*s[56])/792 - (304181*s[57])/594 - (900899*s[58])/7128 + 
       (993185*s[59])/7128 + (810175*s[60])/528 - (4002697*s[61])/32076 + 
       s[65]/2 + 2*s[66] - 2*s[67] - 2*s[68] - 4*s[69] - s[71]/2 - 2*s[72] + 
       (3*s[74])/2 - (3*s[75])/2 - 4*s[76] + s[77] + (13*s[80])/3) + 
     HPL[{0, 0, 0, 1}, 1 - w]*Phi6[u, v, w]*(14*s[3] - (451*s[4])/4 - 
       (2729*s[5])/44 - (1792*s[6])/11 - (1375343*s[7])/792 + 
       (42319*s[8])/297 + (159293*s[9])/108 + (49165*s[10])/108 + 
       (1536391*s[11])/792 + (214222*s[12])/99 + (1058381*s[13])/792 + 
       (93559*s[14])/792 + (162883*s[15])/72 + (1149601*s[16])/396 + 
       (560801*s[17])/264 + (83371*s[18])/324 + (102275*s[19])/324 + 
       (12004853*s[20])/3564 + (8454595*s[21])/7128 - (6617585*s[22])/7128 - 
       (191765*s[23])/99 - (3562973*s[24])/1782 + (161439859*s[25])/64152 - 
       (85460275*s[26])/64152 + 3*s[30] + 3*s[35] + (29*s[36])/6 + 
       (5*s[37])/6 - 69*s[38] + (2149*s[39])/8 - (7643*s[40])/24 + 
       (2113*s[41])/8 - (9151*s[42])/24 - (76297*s[43])/264 + 
       (158555*s[44])/528 - (38051*s[45])/132 + (613577*s[46])/264 - 
       (30043*s[47])/1584 - (228109*s[48])/1584 + (2111665*s[49])/1584 - 
       (124867*s[50])/66 - (398813*s[51])/1584 - (284705*s[52])/1584 + 
       (1019833*s[53])/792 + (7025*s[54])/66 + (4394647*s[55])/528 + 
       (1027753*s[56])/528 - (391133*s[57])/396 + (1735939*s[58])/528 - 
       (5580295*s[59])/1584 - (193726435*s[60])/9504 + 
       (40797089*s[61])/42768 + 5*s[68] - 3*s[69] - 6*s[76] + 5*s[77] + 
       3*s[78] - 42*s[79] + (44*s[80])/3) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*((51*s[3])/4 + (161*s[4])/8 + 
       (349*s[5])/88 + (553*s[6])/22 + (18593*s[7])/176 - (2276*s[8])/99 - 
       (5297*s[9])/72 + (833*s[10])/72 - (60985*s[11])/528 - 
       (38413*s[12])/264 - (45469*s[13])/528 + (11345*s[14])/528 - 
       (5987*s[15])/48 - (40841*s[16])/264 - (48997*s[17])/528 - 
       (8959*s[18])/216 + (4681*s[19])/216 - (393665*s[20])/2376 - 
       (301867*s[21])/4752 + (211325*s[22])/4752 + (109189*s[23])/264 + 
       (95323*s[24])/2376 - (7224439*s[25])/42768 + (3996895*s[26])/42768 + 
       s[32] + (7*s[38])/2 - 19*s[39] + 23*s[40] - (69*s[41])/4 + 
       (131*s[42])/4 + (124*s[43])/11 - (289*s[44])/22 + (45*s[45])/11 - 
       (1401*s[46])/22 + (365*s[47])/22 - (197*s[48])/11 - (289*s[49])/11 + 
       (1443*s[50])/44 + (1193*s[51])/44 + (238*s[52])/11 - (673*s[53])/22 + 
       (2447*s[54])/44 - (10607*s[55])/66 - (1807*s[56])/22 + 
       (3191*s[57])/11 - (22291*s[58])/132 + (5377*s[59])/33 + 
       (9067*s[60])/33 - (19517*s[61])/594 - s[70] - 2*s[73] + 2*s[77] - 
       22*s[82]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      Phi6[u, v, w]*(5*s[2] - 7*s[3] - 36*s[4] + (3803*s[5])/88 + 
       (4599*s[6])/88 + (54047*s[7])/396 + (35593*s[8])/792 - 
       (12121*s[9])/72 - (4859*s[10])/72 - (31433*s[11])/264 - 
       (10451*s[12])/264 - (11329*s[13])/396 - (18155*s[14])/66 - 
       (16549*s[15])/72 - (93277*s[16])/396 - (69187*s[17])/198 - 
       (18493*s[18])/216 + (2977*s[19])/54 - (143386*s[20])/297 - 
       (242857*s[21])/792 + (94579*s[22])/1188 - (19198*s[23])/99 + 
       (127549*s[24])/1188 - (7123*s[25])/528 + (247421*s[26])/1584 + 
       2*s[29] - 3*s[30] + 4*s[31] - s[32]/2 + 3*s[33] - 4*s[34] + s[35] - 
       s[36]/6 + (10*s[37])/3 + (303*s[39])/8 - (929*s[40])/24 + 
       (283*s[41])/8 - (1729*s[42])/24 + (149*s[43])/264 + 
       (16571*s[44])/528 + (3911*s[45])/66 - (18979*s[46])/264 - 
       (56341*s[47])/1584 + (80213*s[48])/1584 + (126607*s[49])/1584 + 
       (1051*s[50])/132 - (78107*s[51])/1584 - (35765*s[52])/1584 - 
       (27209*s[53])/792 + (892*s[54])/33 - (237019*s[55])/528 - 
       (110369*s[56])/528 - (86299*s[57])/198 - (71593*s[58])/1584 + 
       (14653*s[59])/528 + (6652751*s[60])/9504 - (3936379*s[61])/42768 + 
       s[65]/2 + s[66] - 2*s[67] - 2*s[68] - 3*s[69] - s[70] - s[71]/2 - 
       2*s[72] + (3*s[74])/2 - (3*s[75])/2 - 5*s[76] + 3*s[77] + 2*s[78] - 
       2*s[79] + (17*s[80])/3 - 22*s[82]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*(-14*s[3] - 21*s[4] - (87*s[5])/4 - 
       79*s[6] - (10655*s[7])/24 + (1231*s[8])/36 + (13129*s[9])/36 + 
       (1049*s[10])/9 + (1460*s[11])/3 + (12593*s[12])/24 + (7763*s[13])/24 + 
       (2785*s[14])/24 + (13853*s[15])/24 + (2275*s[16])/3 + (2449*s[17])/4 + 
       (2555*s[18])/27 + (2615*s[19])/54 + (99209*s[20])/108 + 
       (73969*s[21])/216 - (48437*s[22])/216 - (10921*s[23])/24 - 
       (103277*s[24])/216 + (297289*s[25])/486 - (86657*s[26])/243 - 
       3*s[38] + (49*s[39])/2 - (63*s[40])/2 + 23*s[41] - 37*s[42] - 
       (61*s[43])/2 + (125*s[44])/4 - (147*s[45])/4 + (983*s[46])/4 - 
       (95*s[47])/24 - (539*s[48])/24 + (2813*s[49])/24 - (685*s[50])/4 - 
       (715*s[51])/24 - (233*s[52])/12 + (761*s[53])/6 - 31*s[54] + 
       (19513*s[55])/24 + (5723*s[56])/24 - (1414*s[57])/9 + 
       (79381*s[58])/216 - (78049*s[59])/216 - (282389*s[60])/144 + 
       (231715*s[61])/1944 - 20*s[82]) + H1[u, v, w]*HPL[{0, 1}, 1 - u]*
      ((-7*s[2])/4 - 2*s[3] - (177*s[4])/8 - (641*s[5])/88 - (841*s[6])/44 - 
       (47473*s[7])/176 + (2975*s[8])/132 + (5405*s[9])/24 + 
       (1717*s[10])/24 + (55733*s[11])/176 + (16091*s[12])/44 + 
       (40071*s[13])/176 - (2635*s[14])/176 + (16267*s[15])/48 + 
       (39817*s[16])/88 + (53833*s[17])/176 + (2335*s[18])/72 + 
       (5201*s[19])/72 + (389489*s[20])/792 + (248041*s[21])/1584 - 
       (227123*s[22])/1584 - (12303*s[23])/44 - (134327*s[24])/396 + 
       (6060211*s[25])/14256 - (2917339*s[26])/14256 + s[32]/2 - 
       (3*s[37])/4 - (39*s[38])/2 + (193*s[39])/4 - (199*s[40])/4 + 
       (149*s[41])/4 - 59*s[42] - (1813*s[43])/44 + (3749*s[44])/88 - 
       (438*s[45])/11 + (13591*s[46])/44 - (1007*s[47])/88 - 
       (1293*s[48])/88 + (18751*s[49])/88 - (5509*s[50])/22 - 
       (10181*s[51])/264 - (2935*s[52])/88 + (4955*s[53])/33 + 
       (951*s[54])/22 + (257849*s[55])/264 + (54191*s[56])/264 - 
       (29935*s[57])/99 + (1145635*s[58])/2376 - (1172041*s[59])/2376 - 
       (1452025*s[60])/528 + (2329177*s[61])/21384 + (3*s[68])/2 - s[69]/2 - 
       s[73] + s[77]/2 - (21*s[82])/2) + H1[u, v, w]*HPL[{0, 1}, 1 - w]*
      ((-7*s[3])/2 - (233*s[4])/8 - (80*s[5])/11 - (2555*s[6])/88 - 
       (524605*s[7])/1584 + (7681*s[8])/264 + (543*s[9])/2 + (254*s[10])/3 + 
       (202843*s[11])/528 + (38875*s[12])/88 + (447545*s[13])/1584 - 
       (11903*s[14])/528 + (59923*s[15])/144 + (110089*s[16])/198 + 
       (597415*s[17])/1584 + (3779*s[18])/108 + (18101*s[19])/216 + 
       (1424315*s[20])/2376 + (928943*s[21])/4752 - (275873*s[22])/1584 - 
       (305255*s[23])/792 - (108877*s[24])/264 + (5550365*s[25])/10692 - 
       (2684603*s[26])/10692 + (3*s[30])/2 - s[32] - (3*s[35])/2 + 
       (5*s[36])/6 - 2*s[37] - 19*s[38] + (217*s[39])/4 - (703*s[40])/12 + 
       (177*s[41])/4 - (851*s[42])/12 - (6683*s[43])/132 + 
       (13393*s[44])/264 - (2065*s[45])/44 + (12365*s[46])/33 - 
       (9923*s[47])/792 - (11441*s[48])/792 + (193691*s[49])/792 - 
       (39227*s[50])/132 - (34885*s[51])/792 - (31027*s[52])/792 + 
       (37007*s[53])/198 + (1538*s[54])/33 + (107137*s[55])/88 + 
       (217103*s[56])/792 - (114751*s[57])/297 + (4251259*s[58])/7128 - 
       (4393999*s[59])/7128 - (15584333*s[60])/4752 + (1104569*s[61])/8019 + 
       s[68] - s[79] - 2*s[80] - (21*s[82])/2) + H1[u, v, w]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*(s[4] + (63*s[5])/11 + (145*s[6])/22 + 
       (7949*s[7])/132 - (677*s[8])/198 - (937*s[9])/18 - (166*s[10])/9 - 
       (3697*s[11])/66 - (6571*s[12])/132 - (1093*s[13])/44 - 
       (3215*s[14])/132 - (413*s[15])/4 - (2283*s[16])/22 - (3604*s[17])/33 - 
       (340*s[18])/27 - (212*s[19])/27 - (39971*s[20])/297 - 
       (65537*s[21])/1188 + (35065*s[22])/1188 + (2501*s[23])/44 + 
       (75481*s[24])/1188 - (692795*s[25])/10692 + (494903*s[26])/10692 - 
       s[39] + s[40] - s[41] + (3*s[42])/2 + (59*s[43])/22 - (13*s[44])/22 + 
       (63*s[45])/11 - (346*s[46])/11 + (41*s[47])/132 - (157*s[48])/132 - 
       (629*s[49])/132 + (525*s[50])/22 + (241*s[51])/132 + (83*s[52])/66 - 
       (250*s[53])/11 + (98*s[54])/11 - (6275*s[55])/44 - (4621*s[56])/132 - 
       (3470*s[57])/99 - (38519*s[58])/1188 + (49067*s[59])/1188 + 
       (196079*s[60])/792 - (96433*s[61])/5346 - 8*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Phi6[u, v, w]*
      ((3*s[2])/2 + (19*s[4])/2 + (331*s[5])/22 + (425*s[6])/22 + 
       (54103*s[7])/264 - (2291*s[8])/132 - (1061*s[9])/6 - (337*s[10])/6 - 
       (18635*s[11])/88 - (9549*s[12])/44 - (31445*s[13])/264 - 
       (3593*s[14])/88 - (7397*s[15])/24 - (23273*s[16])/66 - 
       (81079*s[17])/264 - (87*s[18])/2 - (80*s[19])/3 - (9513*s[20])/22 - 
       (134557*s[21])/792 + (83857*s[22])/792 + (15949*s[23])/66 + 
       (43003*s[24])/198 - (460411*s[25])/1782 + (282571*s[26])/1782 + 
       s[37] + (5*s[38])/2 - (43*s[39])/4 + (43*s[40])/4 - (19*s[41])/2 + 
       (31*s[42])/2 + (391*s[43])/44 - (633*s[44])/88 + (375*s[45])/22 - 
       (4855*s[46])/44 + (1453*s[47])/264 - (1649*s[48])/264 - 
       (9595*s[49])/264 + (3785*s[50])/44 + (3073*s[51])/264 + 
       (2207*s[52])/264 - (2218*s[53])/33 + (459*s[54])/44 - 
       (114263*s[55])/264 - (9499*s[56])/88 + (749*s[57])/22 - 
       (126383*s[58])/792 + (135287*s[59])/792 + (1395697*s[60])/1584 - 
       (392245*s[61])/7128 - 6*s[82]) + H1[w, u, v]*HPL[{0, 1}, 1 - u]*
      ((5*s[2])/4 - 2*s[3] + (231*s[4])/8 + (3187*s[5])/88 + (3229*s[6])/44 + 
       (331417*s[7])/528 - (19103*s[8])/396 - (38741*s[9])/72 - 
       (11245*s[10])/72 - (371053*s[11])/528 - (102845*s[12])/132 - 
       (83613*s[13])/176 - (48517*s[14])/528 - (38465*s[15])/48 - 
       (91083*s[16])/88 - (404561*s[17])/528 - (25927*s[18])/216 - 
       (18365*s[19])/216 - (2973341*s[20])/2376 - (2257249*s[21])/4752 + 
       (1579307*s[22])/4752 + (29409*s[23])/44 + (826247*s[24])/1188 - 
       (37957339*s[25])/42768 + (21519235*s[26])/42768 + s[32]/2 + 
       (13*s[37])/4 + (61*s[38])/2 - (387*s[39])/4 + (413*s[40])/4 - 
       (299*s[41])/4 + 129*s[42] + (3863*s[43])/44 - (7471*s[44])/88 + 
       (1025*s[45])/11 - (30849*s[46])/44 + (2821*s[47])/88 + 
       (1391*s[48])/88 - (33741*s[49])/88 + (11189*s[50])/22 + 
       (22775*s[51])/264 + (6877*s[52])/88 - (11611*s[53])/33 + 
       (621*s[54])/22 - (198921*s[55])/88 - (159517*s[56])/264 + 
       (147205*s[57])/198 - (2698865*s[58])/2376 + (2717603*s[59])/2376 + 
       (3020531*s[60])/528 - (6329891*s[61])/21384 - s[68]/2 - s[69]/2 + 
       3*s[73] + s[77]/2 - (9*s[82])/2) + H1[v, w, u]*HPL[{0, 1}, 1 - w]*
      (-2*s[3] + (381*s[4])/8 + (471*s[5])/22 + (5939*s[6])/88 + 
       (1022885*s[7])/1584 - (132409*s[8])/2376 - (29555*s[9])/54 - 
       (4091*s[10])/27 - (1154689*s[11])/1584 - (656653*s[12])/792 - 
       (806909*s[13])/1584 - (52471*s[14])/1584 - (116539*s[15])/144 - 
       (420731*s[16])/396 - (392125*s[17])/528 - (34979*s[18])/324 - 
       (63947*s[19])/648 - (8817389*s[20])/7128 - (6123817*s[21])/14256 + 
       (4923005*s[22])/14256 + (641687*s[23])/792 + (5121499*s[24])/7128 - 
       (7635376*s[25])/8019 + (3978343*s[26])/8019 - s[30]/2 + s[32] - 
       (3*s[35])/2 - (13*s[36])/6 + (29*s[37])/6 + 29*s[38] - (213*s[39])/2 + 
       (727*s[40])/6 - (187*s[41])/2 + (905*s[42])/6 + (281*s[43])/3 - 
       (296*s[44])/3 + (257*s[45])/3 - (4421*s[46])/6 + (316*s[47])/9 + 
       (94*s[48])/9 - (14965*s[49])/36 + (6755*s[50])/12 + (1909*s[51])/18 + 
       (791*s[52])/9 - (3305*s[53])/9 + (71*s[54])/3 - (7037*s[55])/3 - 
       (1883*s[56])/3 + (1807*s[57])/2 - (32816*s[58])/27 + 
       (65737*s[59])/54 + (662201*s[60])/108 - (70519*s[61])/243 - s[68] + 
       15*s[79] - (13*s[80])/3 - (9*s[82])/2) + HPL[{0, 1}, 1 - u]*
      J1[u, v, w]*((-17*s[2])/16 + s[3]/2 - (639*s[4])/32 - (7015*s[5])/352 - 
       (7299*s[6])/176 - (268535*s[7])/704 + (46955*s[8])/1584 + 
       (93665*s[9])/288 + (27673*s[10])/288 + (908953*s[11])/2112 + 
       (254315*s[12])/528 + (623299*s[13])/2112 + (88777*s[14])/2112 + 
       (30927*s[15])/64 + (665069*s[16])/1056 + (964285*s[17])/2112 + 
       (60811*s[18])/864 + (50477*s[19])/864 + (7107581*s[20])/9504 + 
       (5248765*s[21])/19008 - (3838223*s[22])/19008 - (216971*s[23])/528 - 
       (2042891*s[24])/4752 + (94026319*s[25])/171072 - 
       (51832375*s[26])/171072 - s[32]/8 - (29*s[37])/16 - (161*s[38])/8 + 
       (967*s[39])/16 - (1025*s[40])/16 + (747*s[41])/16 - (317*s[42])/4 - 
       (9363*s[43])/176 + (18691*s[44])/352 - (622*s[45])/11 + 
       (75289*s[46])/176 - (20123*s[47])/1056 - (12401*s[48])/1056 + 
       (256763*s[49])/1056 - (27799*s[50])/88 - (18753*s[51])/352 - 
       (50419*s[52])/1056 + (9319*s[53])/44 - (467*s[54])/88 + 
       (1443455*s[55])/1056 + (376921*s[56])/1056 - (45473*s[57])/99 + 
       (6584021*s[58])/9504 - (6606719*s[59])/9504 - (22387565*s[60])/6336 + 
       (15146303*s[61])/85536 + (5*s[68])/8 + s[69]/8 - (7*s[73])/4 - 
       s[77]/8 - (27*s[82])/8) + HPL[{0, 1}, 1 - w]*J1[u, v, w]*
      (s[3]/8 - (963*s[4])/32 - (575*s[5])/44 - (15073*s[6])/352 - 
       (2610887*s[7])/6336 + (332315*s[8])/9504 + (74755*s[9])/216 + 
       (2737*s[10])/27 + (2965235*s[11])/6336 + (1683581*s[12])/3168 + 
       (702929*s[13])/2112 + (93233*s[14])/6336 + (33217*s[15])/64 + 
       (45167*s[16])/66 + (3041461*s[17])/6336 + (75727*s[18])/1296 + 
       (197077*s[19])/2592 + (22232491*s[20])/28512 + 
       (15272159*s[21])/57024 - (12520291*s[22])/57024 - 
       (512279*s[23])/1056 - (13614629*s[24])/28512 + 
       (79026815*s[25])/128304 - (40533905*s[26])/128304 + (5*s[30])/8 - 
       (3*s[32])/4 + (3*s[35])/8 + (31*s[36])/24 - (35*s[37])/12 - 
       (81*s[38])/4 + (1069*s[39])/16 - (3611*s[40])/48 + (909*s[41])/16 - 
       (4423*s[42])/48 - (32275*s[43])/528 + (66881*s[44])/1056 - 
       (29099*s[45])/528 + (5117*s[46])/11 - (56707*s[47])/3168 - 
       (47665*s[48])/3168 + (878455*s[49])/3168 - (189037*s[50])/528 - 
       (190781*s[51])/3168 - (165971*s[52])/3168 + (61393*s[53])/264 + 
       (29*s[54])/11 + (525585*s[55])/352 + (1212863*s[56])/3168 - 
       (315281*s[57])/594 + (21523867*s[58])/28512 - (21824791*s[59])/28512 - 
       (74887429*s[60])/19008 + (5734385*s[61])/32076 + (3*s[68])/4 - 
       (31*s[79])/4 + (5*s[80])/3 - (27*s[82])/8) + 
     F1[u, v, w]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      ((3*s[2])/2 + (17*s[4])/2 + (541*s[5])/44 + (707*s[6])/44 + 
       (45479*s[7])/264 - (325*s[8])/22 - (595*s[9])/4 - (183*s[10])/4 - 
       (15841*s[11])/88 - (8251*s[12])/44 - (27331*s[13])/264 - 
       (2735*s[14])/88 - (6055*s[15])/24 - (38813*s[16])/132 - 
       (65855*s[17])/264 - (1355*s[18])/36 - (190*s[19])/9 - 
       (71471*s[20])/198 - (112117*s[21])/792 + (7863*s[22])/88 + 
       (6946*s[23])/33 + (11929*s[24])/66 - (1572331*s[25])/7128 + 
       (954823*s[26])/7128 + s[37] + (5*s[38])/2 - (39*s[39])/4 + 
       (39*s[40])/4 - (17*s[41])/2 + 14*s[42] + (325*s[43])/44 - 
       (611*s[44])/88 + (629*s[45])/44 - (1024*s[46])/11 + (1409*s[47])/264 - 
       (1561*s[48])/264 - (8231*s[49])/264 + (3169*s[50])/44 + 
       (2633*s[51])/264 + (2053*s[52])/264 - (1811*s[53])/33 + 
       (371*s[54])/44 - (31165*s[55])/88 - (8047*s[56])/88 + 
       (1580*s[57])/33 - (37075*s[58])/264 + (12915*s[59])/88 + 
       (1169471*s[60])/1584 - (166307*s[61])/3564 - 3*s[82]) + 
     HPL[{1}, 1 - w]^2*K1[v, w, u]*((3*s[2])/4 + (15*s[4])/8 + 
       (115*s[5])/22 + (393*s[6])/88 + (15887*s[7])/264 - (166*s[8])/33 - 
       (641*s[9])/12 - (40*s[10])/3 - (2681*s[11])/44 - (1427*s[12])/22 - 
       (4379*s[13])/132 - (325*s[14])/22 - (643*s[15])/8 - 
       (12719*s[16])/132 - (5261*s[17])/66 - (58*s[18])/3 + (11*s[19])/8 - 
       (34189*s[20])/264 - (42287*s[21])/792 + (24737*s[22])/792 + 
       (22871*s[23])/264 + (39845*s[24])/792 - (507803*s[25])/7128 + 
       (336209*s[26])/7128 + s[37]/4 + s[38]/4 - (5*s[39])/2 + (5*s[40])/2 - 
       (15*s[41])/8 + (35*s[42])/8 + (2*s[43])/11 - s[44]/11 + 
       (137*s[45])/22 - (1351*s[46])/44 + (679*s[47])/132 - (469*s[48])/66 + 
       (119*s[49])/132 + (2001*s[50])/88 + (333*s[51])/88 + (146*s[52])/33 - 
       (2285*s[53])/132 + (795*s[54])/88 - (7603*s[55])/66 - 
       (1775*s[56])/44 + (1583*s[57])/44 - (44647*s[58])/792 + 
       (4946*s[59])/99 + (171043*s[60])/792 - (149921*s[61])/7128 - 
       3*s[82]) + F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      ((-3*s[2])/4 + 4*s[3] + (67*s[4])/8 - (14*s[5])/11 + (921*s[6])/88 + 
       (13181*s[7])/264 - (541*s[8])/66 - (433*s[9])/12 - (17*s[10])/3 - 
       (1269*s[11])/22 - (1493*s[12])/22 - (3163*s[13])/66 + (593*s[14])/44 - 
       (501*s[15])/8 - (10145*s[16])/132 - (6529*s[17])/132 - 
       (217*s[18])/36 - (793*s[19])/72 - (54871*s[20])/792 - 
       (4511*s[21])/264 + (18247*s[22])/792 + (22013*s[23])/264 + 
       (40021*s[24])/792 - (70483*s[25])/792 + (30781*s[26])/792 + s[32]/2 - 
       s[37]/4 + (9*s[38])/4 - 9*s[39] + 10*s[40] - (67*s[41])/8 + 
       (107*s[42])/8 + (191*s[43])/22 - (301*s[44])/44 + (19*s[45])/11 - 
       (1351*s[46])/44 + (79*s[47])/33 + (19*s[48])/132 - (1051*s[49])/33 + 
       (1913*s[50])/88 + (927*s[51])/88 + (1145*s[52])/132 - 
       (2219*s[53])/132 + (751*s[54])/88 - (10553*s[55])/132 - 
       (299*s[56])/22 + (1960*s[57])/33 - (39785*s[58])/792 + 
       (22699*s[59])/396 + (87155*s[60])/396 - (3871*s[61])/792 - 3*s[82]) + 
     A3[v, w, u]*HPL[{1}, 1 - w]*((-6*s[5])/11 + (13*s[6])/11 - 
       (137*s[7])/22 + (38*s[8])/99 + (46*s[9])/9 + (35*s[10])/9 + 
       (241*s[11])/33 + (535*s[12])/66 + (131*s[13])/66 + (107*s[14])/66 + 
       (79*s[15])/6 + (499*s[16])/33 + (415*s[17])/33 + (8*s[18])/27 + 
       (124*s[19])/27 + (5770*s[20])/297 + (3191*s[21])/594 - 
       (2071*s[22])/594 - (175*s[23])/66 - (7459*s[24])/594 + 
       (44711*s[25])/5346 - (20051*s[26])/5346 + (4*s[43])/11 + 
       (9*s[44])/11 - (6*s[45])/11 + (34*s[46])/11 - s[47]/22 - s[48]/22 + 
       (47*s[49])/22 - (47*s[50])/11 - (37*s[51])/22 + (13*s[52])/11 + 
       (73*s[53])/33 + (53*s[54])/11 + (435*s[55])/22 + (109*s[56])/66 + 
       (529*s[57])/99 + (1763*s[58])/594 - (2303*s[59])/594 - 
       (1949*s[60])/44 + (4987*s[61])/2673 - 3*s[82]) + 
     HPL[{0, 1}, 1 - u]*K1[w, u, v]*((3*s[2])/2 - (11*s[3])/4 + 
       (249*s[4])/8 + (2793*s[5])/88 + (666*s[6])/11 + (107493*s[7])/176 - 
       (2971*s[8])/66 - (12527*s[9])/24 - (3949*s[10])/24 - 
       (120235*s[11])/176 - (66049*s[12])/88 - (80979*s[13])/176 - 
       (12025*s[14])/176 - (12909*s[15])/16 - (89827*s[16])/88 - 
       (135623*s[17])/176 - (7171*s[18])/72 - (8357*s[19])/72 - 
       (950033*s[20])/792 - (693685*s[21])/1584 + (511619*s[22])/1584 + 
       (50571*s[23])/88 + (568531*s[24])/792 - (12426193*s[25])/14256 + 
       (6758713*s[26])/14256 + 2*s[37] + 32*s[38] - 95*s[39] + 99*s[40] - 
       75*s[41] + 123*s[42] + (981*s[43])/11 - (1839*s[44])/22 + 
       (976*s[45])/11 - (7518*s[46])/11 + (1753*s[47])/66 + (1291*s[48])/66 - 
       (26863*s[49])/66 + (5768*s[50])/11 + (5483*s[51])/66 + 
       (4637*s[52])/66 - (3902*s[53])/11 - (254*s[54])/11 - 
       (149195*s[55])/66 - (34601*s[56])/66 + (53257*s[57])/99 - 
       (616279*s[58])/594 + (639373*s[59])/594 + (2293909*s[60])/396 - 
       (1423825*s[61])/5346 - s[68] + s[70] + 4*s[73] - 2*s[77] - 3*s[82]) + 
     HPL[{0, 1}, 1 - w]*K1[v, w, u]*(-5*s[2] + 9*s[3] + (317*s[4])/4 - 
       (267*s[5])/8 + (83*s[6])/8 + (23741*s[7])/72 - (18701*s[8])/216 - 
       (47195*s[9])/216 - (4393*s[10])/216 - (3806*s[11])/9 - 
       (42719*s[12])/72 - (27791*s[13])/72 + (20651*s[14])/72 - 
       (2749*s[15])/9 - (4492*s[16])/9 - (2807*s[17])/24 + (5933*s[18])/648 - 
       (39121*s[19])/324 - (54943*s[20])/162 + (4229*s[21])/162 + 
       (107525*s[22])/648 + (15367*s[23])/18 + (63629*s[24])/162 - 
       (8352551*s[25])/11664 + (2459387*s[26])/11664 - 2*s[29] + s[30] - 
       4*s[31] + (3*s[32])/2 - 3*s[33] + 4*s[34] - s[35] - (7*s[36])/6 + 
       (3*s[37])/4 + (59*s[38])/2 - (1091*s[39])/8 + (3541*s[40])/24 - 
       (957*s[41])/8 + (4955*s[42])/24 + (24191*s[43])/264 - 
       (62251*s[44])/528 + (1825*s[45])/88 - (77833*s[46])/132 + 
       (103217*s[47])/1584 - (54457*s[48])/1584 - (748595*s[49])/1584 + 
       (64165*s[50])/132 + (227155*s[51])/1584 + (166117*s[52])/1584 - 
       (115589*s[53])/396 - (1183*s[54])/132 - (860197*s[55])/528 - 
       (522605*s[56])/1584 + (1449341*s[57])/1188 - (14777041*s[58])/14256 + 
       (15182869*s[59])/14256 + (45568679*s[60])/9504 - 
       (1272301*s[61])/8019 - s[65]/2 - s[66] + 2*s[67] + s[68] + 3*s[69] + 
       s[70] + s[71]/2 + 2*s[72] - (3*s[74])/2 + (3*s[75])/2 + 5*s[76] - 
       3*s[77] - 2*s[78] + 10*s[79] - (11*s[80])/2 - 3*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*J1[u, v, w]*(-s[4]/4 + (85*s[5])/44 + 
       (35*s[6])/88 + (8059*s[7])/528 - (101*s[8])/264 - (337*s[9])/24 - 
       (35*s[10])/6 - (1203*s[11])/88 - (1875*s[12])/176 - (1673*s[13])/528 - 
       (1299*s[14])/176 - (1441*s[15])/48 - (7531*s[16])/264 - 
       (4429*s[17])/132 - (17*s[18])/6 - (7*s[19])/2 - (5177*s[20])/132 - 
       (25549*s[21])/1584 + (12253*s[22])/1584 + (7525*s[23])/528 + 
       (28057*s[24])/1584 - (204979*s[25])/14256 + (164623*s[26])/14256 + 
       s[39]/4 - s[40]/4 + s[41]/4 - (3*s[42])/8 + (37*s[43])/88 + 
       (31*s[44])/88 + (85*s[45])/44 - (173*s[46])/22 - (113*s[47])/528 - 
       (443*s[48])/528 + (317*s[49])/528 + (591*s[50])/88 - (265*s[51])/528 - 
       (5*s[52])/264 - (215*s[53])/33 + (27*s[54])/22 - (22367*s[55])/528 - 
       (1577*s[56])/176 - (185*s[57])/11 - (9635*s[58])/1584 + 
       (16055*s[59])/1584 + (211897*s[60])/3168 - (35195*s[61])/7128 - 
       2*s[82]) + HPL[{0, 1}, 1 - u]*J1[w, u, v]*((19*s[2])/16 + s[3]/2 + 
       (585*s[4])/32 + (5653*s[5])/352 + (5623*s[6])/176 + 
       (682399*s[7])/2112 - (39617*s[8])/1584 - (79091*s[9])/288 - 
       (24427*s[10])/288 - (766363*s[11])/2112 - (212555*s[12])/528 - 
       (172587*s[13])/704 - (66787*s[14])/2112 - (81271*s[15])/192 - 
       (189597*s[16])/352 - (849047*s[17])/2112 - (46417*s[18])/864 - 
       (51731*s[19])/864 - (6001907*s[20])/9504 - (4352599*s[21])/19008 + 
       (3236381*s[22])/19008 + (58203*s[23])/176 + (1783589*s[24])/4752 - 
       (79761085*s[25])/171072 + (43250101*s[26])/171072 - s[32]/8 + 
       (19*s[37])/16 + (139*s[38])/8 - (805*s[39])/16 + (843*s[40])/16 - 
       (629*s[41])/16 + (259*s[42])/4 + (8225*s[43])/176 - 
       (15529*s[44])/352 + (2109*s[45])/44 - (63567*s[46])/176 + 
       (5091*s[47])/352 + (3881*s[48])/352 - (74827*s[49])/352 + 
       (24263*s[50])/88 + (46561*s[51])/1056 + (13307*s[52])/352 - 
       (24521*s[53])/132 - (497*s[54])/88 - (1256813*s[55])/1056 - 
       (300731*s[56])/1056 + (242441*s[57])/792 - (5296087*s[58])/9504 + 
       (5458357*s[59])/9504 + (2152311*s[60])/704 - (12300613*s[61])/85536 - 
       (7*s[68])/8 + s[69]/8 + (5*s[73])/4 - s[77]/8 - (15*s[82])/8) + 
     HPL[{0, 1}, 1 - w]*J1[v, w, u]*((5*s[3])/4 + (847*s[4])/32 + 
       (1031*s[5])/88 + (11785*s[6])/352 + (2221855*s[7])/6336 - 
       (276235*s[8])/9504 - (63461*s[9])/216 - (9503*s[10])/108 - 
       (2501731*s[11])/6336 - (1399267*s[12])/3168 - (579845*s[13])/2112 - 
       (57757*s[14])/6336 - (87499*s[15])/192 - (102911*s[16])/176 - 
       (2693573*s[17])/6336 - (63173*s[18])/1296 - (186857*s[19])/2592 - 
       (18910031*s[20])/28512 - (12874339*s[21])/57024 + 
       (10572335*s[22])/57024 + (422423*s[23])/1056 + 
       (11766169*s[24])/28512 - (33431555*s[25])/64152 + 
       (17052779*s[26])/64152 - (7*s[30])/8 + (3*s[32])/4 + (3*s[35])/8 - 
       (23*s[36])/24 + (53*s[37])/24 + (67*s[38])/4 - (223*s[39])/4 + 
       (739*s[40])/12 - (95*s[41])/2 + (457*s[42])/6 + (13993*s[43])/264 - 
       (27149*s[44])/528 + (13193*s[45])/264 - (35177*s[46])/88 + 
       (24763*s[47])/1584 + (13345*s[48])/1584 - (187685*s[49])/792 + 
       (163343*s[50])/528 + (81947*s[51])/1584 + (68819*s[52])/1584 - 
       (13619*s[53])/66 - (353*s[54])/44 - (694951*s[55])/528 - 
       (500723*s[56])/1584 + (871951*s[57])/2376 - (8863483*s[58])/14256 + 
       (9167377*s[59])/14256 + (32289643*s[60])/9504 - (1213381*s[61])/8019 - 
       (3*s[68])/4 + (17*s[79])/4 - s[80]/12 - (15*s[82])/8) + 
     HPL[{1}, 1 - w]^2*K1[u, v, w]*(2*s[3] + (21*s[4])/4 + (409*s[5])/88 + 
       (883*s[6])/88 + (44687*s[7])/528 - (84*s[8])/11 - (569*s[9])/8 - 
       (173*s[10])/8 - (15885*s[11])/176 - (8405*s[12])/88 - 
       (30235*s[13])/528 - (2075*s[14])/176 - (5759*s[15])/48 - 
       (37493*s[16])/264 - (62423*s[17])/528 - (139*s[18])/9 - 
       (479*s[19])/36 - (33211*s[20])/198 - (99445*s[21])/1584 + 
       (22709*s[22])/528 + (25309*s[23])/264 + (12061*s[24])/132 - 
       (1645525*s[25])/14256 + (935353*s[26])/14256 + s[32]/4 + (7*s[38])/4 - 
       (47*s[39])/8 + (51*s[40])/8 - (21*s[41])/4 + (17*s[42])/2 + 
       (501*s[43])/88 - (831*s[44])/176 + (585*s[45])/88 - (512*s[46])/11 + 
       (881*s[47])/528 - (241*s[48])/528 - (12191*s[49])/528 + 
       (3125*s[50])/88 + (3073*s[51])/528 + (2713*s[52])/528 - 
       (889*s[53])/33 + (327*s[54])/88 - (88391*s[55])/528 - 
       (6947*s[56])/176 + (6617*s[57])/264 - (36019*s[58])/528 + 
       (12827*s[59])/176 + (1189271*s[60])/3168 - (70861*s[61])/3564 - 
       (3*s[82])/2) + F1[w, u, v]*HPL[{1}, 1 - w]^3*((7*s[4])/4 + 2*s[5] + 
       (35*s[6])/12 + (739*s[7])/24 - (383*s[8])/108 - (1411*s[9])/54 - 
       (226*s[10])/27 - (2141*s[11])/72 - (1013*s[12])/36 - (1001*s[13])/72 - 
       (383*s[14])/72 - (1255*s[15])/24 - (959*s[16])/18 - (3671*s[17])/72 - 
       (623*s[18])/162 - (2033*s[19])/324 - (20689*s[20])/324 - 
       (14489*s[21])/648 + (9961*s[22])/648 + (1163*s[23])/36 + 
       (11189*s[24])/324 - (112051*s[25])/2916 + (64783*s[26])/2916 + 
       s[38]/6 - (23*s[39])/12 + (23*s[40])/12 - (7*s[41])/4 + (13*s[42])/4 + 
       (25*s[43])/12 - (29*s[44])/24 + 2*s[45] - (199*s[46])/12 + 
       (23*s[47])/24 - (47*s[48])/24 - (59*s[49])/8 + (41*s[50])/3 + 
       (151*s[51])/72 + (37*s[52])/24 - (227*s[53])/18 + (23*s[54])/6 - 
       (1729*s[55])/24 - (1033*s[56])/72 - (551*s[57])/54 - 
       (10991*s[58])/648 + (15365*s[59])/648 + (19211*s[60])/144 - 
       (39965*s[61])/5832 - (3*s[82])/2) + 3*A3[u, v, w]*HPL[{1}, 1 - u]*
      s[82] - 3*A3[v, w, u]*HPL[{1}, 1 - u]*s[82] - 
     (3*F1[u, v, w]*HPL[{1}, 1 - u]^3*s[82])/2 + 
     (3*F1[w, u, v]*HPL[{1}, 1 - u]^3*s[82])/2 - 
     3*F1[w, u, v]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*s[82] + 
     (9*F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*s[82])/2 - 
     3*F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*s[82] - 
     (3*HPL[{1}, 1 - u]^2*K1[u, v, w]*s[82])/2 + 6*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*K1[u, v, w]*s[82] - 3*HPL[{1}, 1 - u]^2*K1[w, u, v]*
      s[82] + 3*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*K1[w, u, v]*s[82] - 
     20*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*
      s[82] + 10*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*Phi6[u, v, w]*s[82] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*J1[w, u, v]*(-s[4]/4 + s[5]/4 + 
       (11*s[6])/8 + (49*s[7])/48 - (19*s[8])/72 - (73*s[9])/72 - s[10]/9 - 
       (13*s[11])/12 - (29*s[12])/48 - (21*s[13])/16 - (163*s[14])/48 - 
       (41*s[15])/48 - (7*s[16])/8 - (31*s[17])/24 - (25*s[18])/108 + 
       (121*s[19])/108 - (167*s[20])/54 - (913*s[21])/432 + (257*s[22])/432 - 
       (129*s[23])/16 + (215*s[24])/432 - (2053*s[25])/3888 + 
       (6301*s[26])/3888 + s[39]/4 - s[40]/4 + s[41]/4 - (3*s[42])/8 + 
       (3*s[43])/8 + s[44]/4 + s[45]/4 - (11*s[47])/48 + (31*s[48])/48 - 
       s[49]/48 - (5*s[50])/8 - (35*s[51])/48 - s[52]/3 - (77*s[55])/48 - 
       (65*s[56])/48 - (205*s[57])/36 + (185*s[58])/432 - (581*s[59])/432 + 
       (1459*s[60])/288 - (463*s[61])/972 + s[82]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*J1[v, w, u]*((-5*s[4])/4 - 
       (19*s[5])/44 - (233*s[6])/88 - (7597*s[7])/528 + (607*s[8])/264 + 
       (275*s[9])/24 + (19*s[10])/6 + (1291*s[11])/88 + (2425*s[12])/176 + 
       (5039*s[13])/528 + (221*s[14])/176 + (1231*s[15])/48 + 
       (6541*s[16])/264 + (802*s[17])/33 - (11*s[18])/9 + (44*s[19])/9 + 
       (9899*s[20])/396 + (3713*s[21])/528 - (11219*s[22])/1584 - 
       (4951*s[23])/528 - (29531*s[24])/1584 + (99251*s[25])/4752 - 
       (46727*s[26])/4752 + (5*s[39])/4 - (5*s[40])/4 + (5*s[41])/4 - 
       (15*s[42])/8 - (235*s[43])/88 + (101*s[44])/88 - (19*s[45])/44 + 
       (173*s[46])/22 - (217*s[47])/528 - (283*s[48])/528 + 
       (3973*s[49])/528 - (525*s[50])/88 - (857*s[51])/528 - 
       (127*s[52])/264 + (215*s[53])/33 - (27*s[54])/22 + (17681*s[55])/528 + 
       (543*s[56])/176 + (703*s[57])/66 + (9085*s[58])/1584 - 
       (17089*s[59])/1584 - (233215*s[60])/3168 + (2125*s[61])/2376 + 
       s[82]) + F1[u, v, w]*HPL[{1}, 1 - w]^3*(-2*s[3] - (21*s[4])/4 - 
       (409*s[5])/88 - (883*s[6])/88 - (44687*s[7])/528 + (84*s[8])/11 + 
       (569*s[9])/8 + (173*s[10])/8 + (15885*s[11])/176 + (8405*s[12])/88 + 
       (29971*s[13])/528 + (2075*s[14])/176 + (5759*s[15])/48 + 
       (37493*s[16])/264 + (62159*s[17])/528 + (275*s[18])/18 + 
       (485*s[19])/36 + (16688*s[20])/99 + (99445*s[21])/1584 - 
       (22709*s[22])/528 - (25441*s[23])/264 - (4035*s[24])/44 + 
       (1646581*s[25])/14256 - (936409*s[26])/14256 - s[32]/4 - (7*s[38])/4 + 
       (47*s[39])/8 - (51*s[40])/8 + (21*s[41])/4 - (17*s[42])/2 - 
       (501*s[43])/88 + (831*s[44])/176 - (585*s[45])/88 + (512*s[46])/11 - 
       (1145*s[47])/528 + (241*s[48])/528 + (12191*s[49])/528 - 
       (3125*s[50])/88 - (3073*s[51])/528 - (2713*s[52])/528 + 
       (1811*s[53])/66 - (371*s[54])/88 + (88391*s[55])/528 + 
       (21193*s[56])/528 - (6617*s[57])/264 + (35843*s[58])/528 - 
       (38569*s[59])/528 - (1190327*s[60])/3168 + (71125*s[61])/3564 + 
       (3*s[82])/2) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      ((-7*s[2])/4 - 2*s[3] - (93*s[4])/8 - (397*s[5])/88 - (559*s[6])/44 - 
       (78713*s[7])/528 + (791*s[8])/66 + (2965*s[9])/24 + (917*s[10])/24 + 
       (30619*s[11])/176 + (4429*s[12])/22 + (66295*s[13])/528 - 
       (497*s[14])/176 + (8669*s[15])/48 + (64655*s[16])/264 + 
       (87185*s[17])/528 + (1645*s[18])/72 + (2501*s[19])/72 + 
       (214229*s[20])/792 + (46969*s[21])/528 - (123301*s[22])/1584 - 
       (5570*s[23])/33 - (70105*s[24])/396 + (369847*s[25])/1584 - 
       (180463*s[26])/1584 - s[32] - (3*s[37])/4 - (21*s[38])/2 + 
       (55*s[39])/2 - 29*s[40] + 21*s[41] - (137*s[42])/4 - (262*s[43])/11 + 
       (537*s[44])/22 - (947*s[45])/44 + (7405*s[46])/44 - (1147*s[47])/132 - 
       (1015*s[48])/132 + (3844*s[49])/33 - (1437*s[50])/11 - 
       (806*s[51])/33 - (2771*s[52])/132 + (2572*s[53])/33 + (164*s[54])/11 + 
       (32899*s[55])/66 + (7529*s[56])/66 - (83257*s[57])/396 + 
       (163225*s[58])/594 - (323921*s[59])/1188 - (1148473*s[60])/792 + 
       (1302889*s[61])/21384 + s[68]/2 - s[69]/2 - s[73] - s[77]/2 + 
       (3*s[82])/2) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      ((-11*s[3])/4 - (67*s[4])/4 + (71*s[5])/22 - (425*s[6])/44 - 
       (10519*s[7])/99 + (4729*s[8])/396 + (2969*s[9])/36 + (601*s[10])/36 + 
       (1527*s[11])/11 + (46577*s[12])/264 + (96475*s[13])/792 - 
       (4325*s[14])/88 + (3547*s[15])/36 + (128869*s[16])/792 + 
       (25315*s[17])/396 + (31*s[18])/6 + (1189*s[19])/36 + (6411*s[20])/44 + 
       (69137*s[21])/2376 - (135911*s[22])/2376 - (18262*s[23])/99 - 
       (161173*s[24])/1188 + (2220775*s[25])/10692 - (208543*s[26])/2673 + 
       s[30]/2 - s[32] - (3*s[35])/2 + s[36]/3 - (5*s[37])/4 - 10*s[38] + 
       (253*s[39])/8 - (827*s[40])/24 + (209*s[41])/8 - (1015*s[42])/24 - 
       (7573*s[43])/264 + (15383*s[44])/528 - (1499*s[45])/88 + 
       (22559*s[46])/132 - (16477*s[47])/1584 - (10999*s[48])/1584 + 
       (209899*s[49])/1584 - (16901*s[50])/132 - (48671*s[51])/1584 - 
       (38405*s[52])/1584 + (14777*s[53])/198 + (1267*s[54])/66 + 
       (241613*s[55])/528 + (167809*s[56])/1584 - (187991*s[57])/594 + 
       (4262741*s[58])/14256 - (4225733*s[59])/14256 - 
       (13577767*s[60])/9504 + (868699*s[61])/16038 - s[77] - s[79] - 
       s[80]/2 + (3*s[82])/2) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
      Phi6[u, v, w]*(s[4] - s[5] + (3*s[6])/2 - (7*s[7])/12 - (23*s[8])/18 + 
       (31*s[9])/18 + (16*s[10])/9 - (2*s[11])/3 - (25*s[12])/12 - 
       (17*s[13])/4 + (49*s[14])/12 + (35*s[15])/12 + (5*s[16])/2 + 
       (37*s[17])/6 + (73*s[18])/27 - (25*s[19])/27 + (256*s[20])/27 + 
       (655*s[21])/108 - (47*s[22])/108 - (13*s[23])/4 + (67*s[24])/108 - 
       (4217*s[25])/972 - (1111*s[26])/972 - s[39] + s[40] - s[41] + 
       (3*s[42])/2 + (3*s[43])/2 - s[44] - s[45] + (5*s[47])/12 + 
       (11*s[48])/12 - (65*s[49])/12 - s[50]/2 + (17*s[51])/12 + s[52]/3 + 
       (71*s[55])/12 + (47*s[56])/12 + (37*s[57])/9 + (25*s[58])/108 + 
       (47*s[59])/108 + (323*s[60])/72 + (655*s[61])/243 + (13*s[82])/6) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*Phi6[u, v, w]*(-2*s[3] - (17*s[4])/3 - 
       (581*s[5])/88 - (1097*s[6])/88 - (55853*s[7])/528 + 
       (10871*s[8])/1188 + (19331*s[9])/216 + (6103*s[10])/216 + 
       (174979*s[11])/1584 + (89905*s[12])/792 + (104083*s[13])/1584 + 
       (32233*s[14])/1584 + (7513*s[15])/48 + (142127*s[16])/792 + 
       (248287*s[17])/1584 + (3067*s[18])/162 + (1366*s[19])/81 + 
       (773275*s[20])/3564 + (1172335*s[21])/14256 - (764585*s[22])/14256 - 
       (88831*s[23])/792 - (410297*s[24])/3564 + (17816869*s[25])/128304 - 
       (10528201*s[26])/128304 - s[32]/4 - (7*s[38])/4 + (151*s[39])/24 - 
       (163*s[40])/24 + (17*s[41])/3 - (37*s[42])/4 - (1841*s[43])/264 + 
       (2611*s[44])/528 - (757*s[45])/88 + (7595*s[46])/132 - 
       (381*s[47])/176 + (551*s[48])/528 + (4531*s[49])/176 - 
       (11635*s[50])/264 - (9041*s[51])/1584 - (2831*s[52])/528 + 
       (3526*s[53])/99 - (531*s[54])/88 + (38531*s[55])/176 + 
       (81533*s[56])/1584 - (23101*s[57])/2376 + (1120303*s[58])/14256 - 
       (1243909*s[59])/14256 - (1484213*s[60])/3168 + (1652273*s[61])/64152 + 
       (13*s[82])/6) + HPL[{0, 1}, 1 - u]*J1[v, w, u]*
      ((23*s[2])/16 + (5*s[3])/2 - (27*s[4])/32 - (1883*s[5])/352 - 
       (1635*s[6])/176 - (44955*s[7])/704 + (8227*s[8])/1584 + 
       (16597*s[9])/288 + (4301*s[10])/288 + (143333*s[11])/2112 + 
       (36703*s[12])/528 + (88007*s[13])/2112 + (40325*s[14])/2112 + 
       (5971*s[15])/64 + (113305*s[16])/1056 + (191849*s[17])/2112 + 
       (7955*s[18])/864 + (4705*s[19])/864 + (1335457*s[20])/9504 + 
       (1101929*s[21])/19008 - (669043*s[22])/19008 - (25453*s[23])/528 - 
       (348151*s[24])/4752 + (13633307*s[25])/171072 - 
       (9103427*s[26])/171072 + (13*s[32])/8 - s[37]/16 - (13*s[38])/8 + 
       (107*s[39])/16 - (109*s[40])/16 + (87*s[41])/16 - (37*s[42])/4 - 
       (1623*s[43])/176 + (2327*s[44])/352 - (223*s[45])/22 + 
       (12797*s[46])/176 - (991*s[47])/1056 - (1981*s[48])/1056 + 
       (30319*s[49])/1056 - (4439*s[50])/88 - (2029*s[51])/352 - 
       (5111*s[52])/1056 + (1975*s[53])/44 - (1159*s[54])/88 + 
       (301219*s[55])/1056 + (79493*s[56])/1056 - (448*s[57])/99 + 
       (946705*s[58])/9504 - (1085683*s[59])/9504 - (3773545*s[60])/6336 + 
       (2833819*s[61])/85536 + s[68]/8 + (5*s[69])/8 + s[73]/4 + 
       (7*s[77])/8 + (21*s[82])/8) + HPL[{0, 1}, 1 - w]*J1[w, u, v]*
      ((23*s[3])/8 - (43*s[4])/32 - (41*s[5])/22 - (1457*s[6])/352 - 
       (276103*s[7])/6336 + (38611*s[8])/9504 + (8675*s[9])/216 + 
       (287*s[10])/27 + (306211*s[11])/6336 + (174145*s[12])/3168 + 
       (64457*s[13])/2112 + (76489*s[14])/6336 + (11299*s[15])/192 + 
       (6799*s[16])/88 + (365333*s[17])/6336 + (5687*s[18])/1296 + 
       (17717*s[19])/2592 + (2821763*s[20])/28512 + (1952311*s[21])/57024 - 
       (1447187*s[22])/57024 - (29759*s[23])/1056 - (1581997*s[24])/28512 + 
       (7495963*s[25])/128304 - (4162093*s[26])/128304 + s[30]/8 + 
       (3*s[32])/4 + (15*s[35])/8 + (11*s[36])/24 - s[37]/3 - (7*s[38])/4 + 
       (95*s[39])/16 - (361*s[40])/48 + (95*s[41])/16 - (413*s[42])/48 - 
       (3533*s[43])/528 + (7207*s[44])/1056 - (2989*s[45])/528 + 
       (2249*s[46])/44 + (139*s[47])/3168 - (2567*s[48])/3168 + 
       (79157*s[49])/3168 - (22697*s[50])/528 - (14899*s[51])/3168 - 
       (14053*s[52])/3168 + (7891*s[53])/264 - (159*s[54])/22 + 
       (210581*s[55])/1056 + (156217*s[56])/3168 + (6839*s[57])/2376 + 
       (2036621*s[58])/28512 - (2307017*s[59])/28512 - 
       (9554723*s[60])/19008 + (963335*s[61])/64152 + (3*s[68])/4 + 
       (3*s[77])/2 - (11*s[79])/4 + (5*s[80])/6 + (21*s[82])/8) + 
     A3[w, u, v]*HPL[{1}, 1 - w]*(-s[4] + (6*s[5])/11 + (9*s[6])/11 + 
       (145*s[7])/33 + (83*s[8])/99 - (35*s[9])/9 - (37*s[10])/9 - 
       (427*s[11])/66 - (359*s[12])/66 - (181*s[13])/33 - (92*s[14])/33 - 
       (28*s[15])/3 - (433*s[16])/33 - (317*s[17])/22 + (110*s[18])/27 - 
       (194*s[19])/27 - (3350*s[20])/297 - (1007*s[21])/297 + 
       (832*s[22])/297 - (1277*s[23])/66 + (9857*s[24])/594 - 
       (44095*s[25])/5346 + (18643*s[26])/5346 + s[38] + s[41] - s[42] + 
       (18*s[43])/11 - (29*s[44])/22 + (6*s[45])/11 - (34*s[46])/11 - 
       (92*s[47])/33 + (172*s[48])/33 - (274*s[49])/33 + (25*s[50])/11 - 
       (42*s[51])/11 - (89*s[52])/66 - (73*s[53])/33 - (53*s[54])/11 - 
       (493*s[55])/33 + (83*s[56])/33 - (2498*s[57])/99 + (1390*s[58])/297 + 
       (266*s[59])/297 + (5906*s[60])/99 + (13247*s[61])/5346 + 3*s[82]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*K1[v, w, u]*((-3*s[2])/2 - (17*s[4])/2 - 
       (497*s[5])/44 - (707*s[6])/44 - (45479*s[7])/264 + (325*s[8])/22 + 
       (595*s[9])/4 + (183*s[10])/4 + (15929*s[11])/88 + (8383*s[12])/44 + 
       (28123*s[13])/264 + (2647*s[14])/88 + (5911*s[15])/24 + 
       (38417*s[16])/132 + (64007*s[17])/264 + (1355*s[18])/36 + 
       (190*s[19])/9 + (71075*s[20])/198 + (110533*s[21])/792 - 
       (23677*s[22])/264 - (6649*s[23])/33 - (3969*s[24])/22 + 
       (1587643*s[25])/7128 - (955879*s[26])/7128 - s[37] - (5*s[38])/2 + 
       (39*s[39])/4 - (39*s[40])/4 + (17*s[41])/2 - 14*s[42] - 
       (325*s[43])/44 + (611*s[44])/88 - (629*s[45])/44 + (1024*s[46])/11 - 
       (1673*s[47])/264 + (1561*s[48])/264 + (8231*s[49])/264 - 
       (3169*s[50])/44 - (2633*s[51])/264 - (2317*s[52])/264 + 
       (1778*s[53])/33 - (327*s[54])/44 + (30637*s[55])/88 + 
       (7915*s[56])/88 - (1646*s[57])/33 + (37427*s[58])/264 - 
       (38305*s[59])/264 - (1174751*s[60])/1584 + (167231*s[61])/3564 + 
       3*s[82]) + H1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      (s[4] - s[5] + (5*s[6])/2 - (3*s[7])/4 - (7*s[8])/6 + (11*s[9])/6 + 
       (8*s[10])/3 - s[11] - (9*s[12])/4 - (19*s[13])/4 + (9*s[14])/4 + 
       (49*s[15])/12 + (7*s[16])/2 + (13*s[17])/2 + (35*s[18])/9 - 
       (11*s[19])/9 + (86*s[20])/9 + (227*s[21])/36 - (19*s[22])/36 - 
       (55*s[23])/4 + (59*s[24])/36 - (1441*s[25])/324 - (359*s[26])/324 - 
       s[39] + s[40] - s[41] + (3*s[42])/2 + (5*s[43])/2 - s[44] - s[45] + 
       s[47]/4 + (3*s[48])/4 - (29*s[49])/4 - (3*s[50])/2 + (11*s[51])/12 + 
       (85*s[55])/12 + (19*s[56])/4 - (13*s[57])/3 + (101*s[58])/36 - 
       (65*s[59])/36 + (247*s[60])/24 + (293*s[61])/81 + 4*s[82]) + 
     H1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*(-3*s[4] - (41*s[5])/11 - 
       (211*s[6])/22 - (7795*s[7])/132 + (1183*s[8])/198 + (875*s[9])/18 + 
       (134*s[10])/9 + (3785*s[11])/66 + (7121*s[12])/132 + (1467*s[13])/44 + 
       (2137*s[14])/132 + (1169*s[15])/12 + (2173*s[16])/22 + 
       (3197*s[17])/33 + (194*s[18])/27 + (262*s[19])/27 + 
       (34339*s[20])/297 + (51127*s[21])/1188 - (34031*s[22])/1188 - 
       (2215*s[23])/44 - (76955*s[24])/1188 + (785569*s[25])/10692 - 
       (470461*s[26])/10692 + 3*s[39] - 3*s[40] + 3*s[41] - (9*s[42])/2 - 
       (125*s[43])/22 + (57*s[44])/22 - (41*s[45])/11 + (346*s[46])/11 - 
       (151*s[47])/132 - (85*s[48])/132 + (2059*s[49])/132 - (503*s[50])/22 - 
       (205*s[51])/44 - (127*s[52])/66 + (250*s[53])/11 - (98*s[54])/11 + 
       (17263*s[55])/132 + (3587*s[56])/132 + (2656*s[57])/99 + 
       (37969*s[58])/1188 - (50101*s[59])/1188 - (203185*s[60])/792 + 
       (67613*s[61])/5346 + 4*s[82]) + F1[v, w, u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*((-445*s[5])/44 - (255*s[6])/44 - (11405*s[7])/132 + 
       (2261*s[8])/396 + (2809*s[9])/36 + (1025*s[10])/36 + 
       (10363*s[11])/132 + (4423*s[12])/66 + (3779*s[13])/132 + 
       (5287*s[14])/132 + (446*s[15])/3 + (5081*s[16])/33 + (1807*s[17])/11 + 
       (2747*s[18])/108 + (245*s[19])/54 + (60691*s[20])/297 + 
       (26305*s[21])/297 - (52133*s[22])/1188 - (12007*s[23])/132 - 
       (95705*s[24])/1188 + (1793543*s[25])/21384 - (1416263*s[26])/21384 - 
       s[42]/2 + (10*s[43])/11 - (21*s[44])/22 - (445*s[45])/44 + 
       (1847*s[46])/44 - (59*s[47])/132 + (733*s[48])/132 - (769*s[49])/132 - 
       (387*s[50])/11 - (31*s[51])/44 - (40*s[52])/33 + (4151*s[53])/132 - 
       (219*s[54])/22 + (27997*s[55])/132 + (7805*s[56])/132 + 
       (4078*s[57])/99 + (15544*s[58])/297 - (67351*s[59])/1188 - 
       (127249*s[60])/396 + (652193*s[61])/21384 + (9*s[82])/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*K1[u, v, w]*(-4*s[3] - (41*s[4])/4 - 
       (109*s[5])/22 - (657*s[6])/44 - (7267*s[7])/66 + (291*s[8])/22 + 
       (179*s[9])/2 + 19*s[10] + (5175*s[11])/44 + (1427*s[12])/11 + 
       (10375*s[13])/132 + (101*s[14])/44 + 149*s[15] + (5815*s[16])/33 + 
       (18041*s[17])/132 + (919*s[18])/36 + (341*s[19])/36 + 
       (79181*s[20])/396 + (14351*s[21])/198 - (1780*s[22])/33 - 
       (5891*s[23])/33 - (4437*s[24])/44 + (563155*s[25])/3564 - 
       (305827*s[26])/3564 - s[32]/2 - (5*s[38])/2 + (23*s[39])/2 - 
       (25*s[40])/2 + (41*s[41])/4 - (71*s[42])/4 - (195*s[43])/22 + 
       (305*s[44])/44 - (175*s[45])/22 + (1351*s[46])/22 - (797*s[47])/132 + 
       (919*s[48])/132 + (4085*s[49])/132 - (1957*s[50])/44 - 
       (315*s[51])/22 - (1597*s[52])/132 + (2285*s[53])/66 - (795*s[54])/44 + 
       (26551*s[55])/132 + (2373*s[56])/44 - (12325*s[57])/132 + 
       (3485*s[58])/33 - (14359*s[59])/132 - (342449*s[60])/792 + 
       (22798*s[61])/891 + 6*s[82]) + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      Phi6[u, v, w]*(10*s[3] + (29*s[4])/2 + (107*s[5])/4 + 70*s[6] + 
       (9715*s[7])/24 - (1225*s[8])/36 - (12115*s[9])/36 - (974*s[10])/9 - 
       (5015*s[11])/12 - (10235*s[12])/24 - (1977*s[13])/8 - 
       (3385*s[14])/24 - (13889*s[15])/24 - (1407*s[16])/2 - (3773*s[17])/6 - 
       (2663*s[18])/27 - (691*s[19])/27 - (94619*s[20])/108 - 
       (73813*s[21])/216 + (43565*s[22])/216 + (3545*s[23])/8 + 
       (88739*s[24])/216 - (494069*s[25])/972 + (313943*s[26])/972 - 
       (33*s[39])/2 + (45*s[40])/2 - (33*s[41])/2 + (55*s[42])/2 + 
       (41*s[43])/2 - (41*s[44])/2 + (139*s[45])/4 - (871*s[46])/4 + 
       (151*s[47])/24 + (235*s[48])/24 - (1621*s[49])/24 + (617*s[50])/4 + 
       (655*s[51])/24 + (77*s[52])/6 - 127*s[53] + 44*s[54] - 
       (19465*s[55])/24 - (5759*s[56])/24 + (496*s[57])/9 - 
       (66325*s[58])/216 + (67333*s[59])/216 + (239437*s[60])/144 - 
       (231937*s[61])/1944 + 10*s[82]) + H1[v, w, u]*HPL[{0, 1}, 1 - u]*
      ((9*s[2])/4 + 6*s[3] - (45*s[4])/8 - (2325*s[5])/88 - (2137*s[6])/44 - 
       (171071*s[7])/528 + (9469*s[8])/396 + (20539*s[9])/72 + 
       (5507*s[10])/72 + (183563*s[11])/528 + (48733*s[12])/132 + 
       (38963*s[13])/176 + (50939*s[14])/528 + (6877*s[15])/16 + 
       (46669*s[16])/88 + (223879*s[17])/528 + (15917*s[18])/216 + 
       (2791*s[19])/216 + (1645879*s[20])/2376 + (1376999*s[21])/4752 - 
       (821053*s[22])/4752 - (14633*s[23])/44 - (394033*s[24])/1188 + 
       (17705909*s[25])/42768 - (11597933*s[26])/42768 + (3*s[32])/2 - 
       (7*s[37])/4 - (19*s[38])/2 + (165*s[39])/4 - (179*s[40])/4 + 
       (129*s[41])/4 - 59*s[42] - (1849*s[43])/44 + (3257*s[44])/88 - 
       (540*s[45])/11 + (15771*s[46])/44 - (1339*s[47])/88 - (305*s[48])/88 + 
       (13147*s[49])/88 - (5237*s[50])/22 - (10601*s[51])/264 - 
       (3235*s[52])/88 + (2113*s[53])/11 - (1493*s[54])/22 + 
       (107903*s[55])/88 + (32649*s[56])/88 - (3477*s[57])/11 + 
       (50541*s[58])/88 - (51559*s[59])/88 - (1454765*s[60])/528 + 
       (15079*s[61])/88 - s[68]/2 + (3*s[69])/2 - s[73] + s[77]/2 + 
       (27*s[82])/2) + H1[w, u, v]*HPL[{0, 1}, 1 - w]*
      ((15*s[3])/2 - (113*s[4])/8 - (131*s[5])/11 - (2859*s[6])/88 - 
       (142111*s[7])/528 + (57169*s[8])/2376 + (12869*s[9])/54 + 
       (1598*s[10])/27 + (468289*s[11])/1584 + (263623*s[12])/792 + 
       (308257*s[13])/1584 + (86395*s[14])/1584 + (49235*s[15])/144 + 
       (43756*s[16])/99 + (507751*s[17])/1584 + (17561*s[18])/324 + 
       (11087*s[19])/648 + (3971273*s[20])/7128 + (2890213*s[21])/14256 - 
       (2119721*s[22])/14256 - (255103*s[23])/792 - (1974487*s[24])/7128 + 
       (11837071*s[25])/32076 - (6695713*s[26])/32076 - s[30]/2 + s[32] + 
       (9*s[35])/2 + (3*s[36])/2 - (7*s[37])/3 - 9*s[38] + (171*s[39])/4 - 
       (207*s[40])/4 + (163*s[41])/4 - (259*s[42])/4 - (1655*s[43])/44 + 
       (3613*s[44])/88 - (4405*s[45])/132 + (10216*s[46])/33 - 
       (3959*s[47])/264 + (67*s[48])/264 + (38915*s[49])/264 - 
       (10317*s[50])/44 - (12569*s[51])/264 - (10135*s[52])/264 + 
       (31693*s[53])/198 - (1952*s[54])/33 + (89703*s[55])/88 + 
       (241913*s[56])/792 - (206993*s[57])/594 + (3640381*s[58])/7128 - 
       (3635089*s[59])/7128 - (1355539*s[60])/528 + (1983925*s[61])/16038 + 
       s[68] + 2*s[77] - 13*s[79] + (16*s[80])/3 + (27*s[82])/2) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*Phi6[u, v, w]*
      (22*s[3] + (59*s[4])/2 + (3625*s[5])/44 + (2128*s[6])/11 + 
       (348605*s[7])/264 - (37955*s[8])/396 - (40393*s[9])/36 - 
       (7267*s[10])/18 - (182005*s[11])/132 - (373501*s[12])/264 - 
       (71023*s[13])/88 - (125375*s[14])/264 - (14639*s[15])/8 - 
       (50377*s[16])/22 - (65969*s[17])/33 - (17287*s[18])/54 - 
       (6053*s[19])/54 - (3468163*s[20])/1188 - (2716055*s[21])/2376 + 
       (1609039*s[22])/2376 + (102703*s[23])/88 + (3303961*s[24])/2376 - 
       (17569495*s[25])/10692 + (11267893*s[26])/10692 - 3*s[32] - 2*s[38] - 
       53*s[39] + 75*s[40] - 54*s[41] + 90*s[42] + (754*s[43])/11 - 
       (3367*s[44])/44 + (3865*s[45])/22 - (21997*s[46])/22 + 
       (191*s[47])/22 + (1225*s[48])/22 - (6139*s[49])/22 + 
       (16447*s[50])/22 + (1501*s[51])/22 + (2245*s[52])/44 - 
       (18530*s[53])/33 + (1196*s[54])/11 - (246901*s[55])/66 - 
       (73421*s[56])/66 + (25457*s[57])/198 - (843877*s[58])/594 + 
       (407426*s[59])/297 + (266987*s[60])/33 - (3110029*s[61])/5346 + 
       94*s[82]) + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*Phi6[u, v, w]*
      ((-3*s[3])/2 + (29*s[4])/4 + (893*s[5])/44 + (707*s[6])/44 + 
       (199115*s[7])/792 - (23611*s[8])/1188 - (5999*s[9])/27 - 
       (8233*s[10])/108 - (104477*s[11])/396 - (221657*s[12])/792 - 
       (108305*s[13])/792 - (66811*s[14])/792 - (26599*s[15])/72 - 
       (91181*s[16])/198 - (12757*s[17])/33 - (16735*s[18])/324 - 
       (10799*s[19])/324 - (2087267*s[20])/3564 - (1442101*s[21])/7128 + 
       (980147*s[22])/7128 + (206359*s[23])/792 + (2017247*s[24])/7128 - 
       (10184711*s[25])/32076 + (2869927*s[26])/16038 + (11*s[36])/3 + 
       (16*s[37])/3 - 9*s[38] - (61*s[39])/4 + (283*s[40])/12 - 
       (59*s[41])/4 + (437*s[42])/12 - (271*s[43])/132 - (677*s[44])/33 - 
       (62*s[45])/33 - (4209*s[46])/44 + (7693*s[47])/396 - 
       (2803*s[48])/198 - (11089*s[49])/396 + (4657*s[50])/66 + 
       (1940*s[51])/99 + (1271*s[52])/396 - (7133*s[53])/132 + 
       (625*s[54])/11 - (18517*s[55])/66 - (54335*s[56])/396 + 
       (305273*s[57])/1188 - (318947*s[58])/1782 + (261887*s[59])/1782 + 
       (1430761*s[60])/2376 - (1840945*s[61])/32076 + s[71] + 12*s[79] - 
       (40*s[80])/3 + 94*s[82]) + A10[v, w, u]*HPL[{1}, 1 - u]*
      (-36*s[82] - 3*s[83]) + A10[v, w, u]*HPL[{1}, 1 - w]*
      ((3*s[2])/2 - (111*s[3])/4 - (1937*s[4])/8 - (1053*s[5])/22 - 
       (23511*s[6])/88 - (1235743*s[7])/528 + (29507*s[8])/88 + 
       (7321*s[9])/4 + (1733*s[10])/4 + (474039*s[11])/176 + 
       (140863*s[12])/44 + (1021187*s[13])/528 - (51489*s[14])/176 + 
       (45071*s[15])/16 + (127775*s[16])/33 + (1323895*s[17])/528 + 
       (14975*s[18])/36 + (24959*s[19])/72 + (3210995*s[20])/792 + 
       (2069081*s[21])/1584 - (629863*s[22])/528 - (138376*s[23])/33 - 
       (309433*s[24])/132 + (3308978*s[25])/891 - (1587125*s[26])/891 + 
       6*s[29] - 3*s[30] + 2*s[31] + (3*s[33])/2 - s[34] + 3*s[35] + 
       (15*s[36])/2 + s[37]/2 - (87*s[38])/2 + (2391*s[39])/8 - 
       (2515*s[40])/8 + (1937*s[41])/8 - (3761*s[42])/8 - (15001*s[43])/88 + 
       (43689*s[44])/176 - (774*s[45])/11 + (121471*s[46])/88 - 
       (91987*s[47])/528 + (66611*s[48])/528 + (488833*s[49])/528 - 
       (22895*s[50])/22 - (51043*s[51])/176 - (120551*s[52])/528 + 
       (92393*s[53])/132 - (918*s[54])/11 + (676367*s[55])/176 + 
       (177801*s[56])/176 - (204811*s[57])/66 + (447987*s[58])/176 - 
       (1344787*s[59])/528 - (31721731*s[60])/3168 + (7310195*s[61])/14256 + 
       2*s[65] + 4*s[66] - 6*s[67] - 4*s[68] - 10*s[69] - 3*s[71] - 6*s[72] + 
       3*s[73] + (9*s[74])/2 - (9*s[75])/2 - 2*s[76] + 3*s[77] - 7*s[78] + 
       14*s[80] - 36*s[82] - 3*s[83]) + G[u, v, w]*HPL[{0, 1}, 1 - u]*
      (2*s[2] - 16*s[3] + (117*s[4])/2 + (954*s[5])/11 + (2036*s[6])/11 + 
       (377567*s[7])/264 - (39070*s[8])/297 - (66277*s[9])/54 - 
       (15587*s[10])/54 - (1294393*s[11])/792 - (187762*s[12])/99 - 
       (907495*s[13])/792 - (147913*s[14])/792 - (116357*s[15])/72 - 
       (447589*s[16])/198 - (1184593*s[17])/792 - (102391*s[18])/324 - 
       (32603*s[19])/324 - (2500016*s[20])/891 - (7692085*s[21])/7128 + 
       (5421035*s[22])/7128 + (744703*s[23])/396 + (2582837*s[24])/1782 - 
       (132901045*s[25])/64152 + (75029065*s[26])/64152 - 2*s[29] - 2*s[31] + 
       7*s[32] - 3*s[33] + 4*s[34] + 14*s[37] + 78*s[38] - 274*s[39] + 
       302*s[40] - (417*s[41])/2 + (761*s[42])/2 + (2577*s[43])/11 - 
       (2592*s[44])/11 + (5579*s[45])/22 - (41837*s[46])/22 + 
       (7651*s[47])/66 + (1315*s[48])/66 - (65281*s[49])/66 + 
       (28557*s[50])/22 + (8405*s[51])/33 + (8095*s[52])/33 - 
       (29494*s[53])/33 + (4177*s[54])/22 - (379657*s[55])/66 - 
       (38767*s[56])/22 + (125085*s[57])/44 - (662345*s[58])/198 + 
       (639605*s[59])/198 + (2930429*s[60])/198 - (1514665*s[61])/1782 + 
       3*s[68] - s[69] - s[70] + 2*s[73] - s[76] + 9*s[77] + 18*s[82] + 
       (3*s[83])/2) + G[u, v, w]*HPL[{0, 1}, 1 - w]*
      ((27*s[2])/4 - (209*s[3])/8 + (2455*s[4])/16 + (4549*s[5])/22 + 
       (70505*s[6])/176 + (11185897*s[7])/3168 - (113339*s[8])/528 - 
       (36965*s[9])/12 - (22555*s[10])/24 - (4106317*s[11])/1056 - 
       (371163*s[12])/88 - (8026841*s[13])/3168 - (741409*s[14])/1056 - 
       (1333183*s[15])/288 - (1169015*s[16])/198 - (14493577*s[17])/3168 - 
       (19300*s[18])/27 - (182753*s[19])/432 - (34526177*s[20])/4752 - 
       (26478119*s[21])/9504 + (6008329*s[22])/3168 + (1485239*s[23])/396 + 
       (3018221*s[24])/792 - (204946363*s[25])/42768 + 
       (119155303*s[26])/42768 + 2*s[29] - s[30] + 5*s[31] + (3*s[32])/2 + 
       (17*s[33])/8 - 6*s[34] - s[35] - (59*s[36])/12 + 23*s[37] + 
       (413*s[38])/4 - (5215*s[39])/16 + (18473*s[40])/48 - (4493*s[41])/16 + 
       (21115*s[42])/48 + (173011*s[43])/528 - (339221*s[44])/1056 + 
       (35719*s[45])/88 - (1492867*s[46])/528 + (223471*s[47])/3168 + 
       (428269*s[48])/3168 - (4368613*s[49])/3168 + (276085*s[50])/132 + 
       (966737*s[51])/3168 + (893231*s[52])/3168 - (278365*s[53])/198 + 
       (12233*s[54])/132 - (3289125*s[55])/352 - (8487631*s[56])/3168 + 
       (6595555*s[57])/2376 - (129817793*s[58])/28512 + 
       (128316251*s[59])/28512 + (446401387*s[60])/19008 - 
       (319365821*s[61])/256608 + s[65] + 2*s[66] - 4*s[67] - 3*s[68] - 
       6*s[69] - 2*s[70] - s[71] - 4*s[72] + (5*s[73])/2 + s[74] - s[75] - 
       9*s[76] + 10*s[77] + (3*s[78])/2 + 64*s[79] - (31*s[80])/2 + 
       18*s[82] + (3*s[83])/2) + A10[u, v, w]*HPL[{1}, 1 - u]*
      (36*s[82] + 3*s[83]) + A10[w, u, v]*HPL[{1}, 1 - w]*
      ((21*s[2])/2 + (31*s[3])/4 + (1375*s[4])/8 + (5231*s[5])/22 + 
       (36941*s[6])/88 + (2014567*s[7])/528 - (23805*s[8])/88 - 
       (6531*s[9])/2 - (4187*s[10])/4 - (733679*s[11])/176 - 
       (196147*s[12])/44 - (1389923*s[13])/528 - (118763*s[14])/176 - 
       (250265*s[15])/48 - (863849*s[16])/132 - (2784043*s[17])/528 - 
       (13753*s[18])/18 - (38075*s[19])/72 - (6191303*s[20])/792 - 
       (4786061*s[21])/1584 + (354209*s[22])/176 + (554047*s[23])/132 + 
       (45215*s[24])/11 - (36693295*s[25])/7128 + (21372775*s[26])/7128 + 
       6*s[31] - s[32] + (15*s[33])/4 - 12*s[34] - (23*s[36])/2 + 
       (27*s[37])/2 + (137*s[38])/2 - (1841*s[39])/8 + (1965*s[40])/8 - 
       (1423*s[41])/8 + (2491*s[42])/8 + (18607*s[43])/88 - 
       (36977*s[44])/176 + (3512*s[45])/11 - (184353*s[46])/88 + 
       (38083*s[47])/528 + (13993*s[48])/528 - (516145*s[49])/528 + 
       (34741*s[50])/22 + (102469*s[51])/528 + (92099*s[52])/528 - 
       (75247*s[53])/66 - (1219*s[54])/22 - (3907745*s[55])/528 - 
       (345769*s[56])/176 + (197981*s[57])/132 - (1706017*s[58])/528 + 
       (1755383*s[59])/528 + (54328555*s[60])/3168 - (13935401*s[61])/14256 - 
       3*s[73] - s[74] + s[75] - 6*s[76] + 7*s[78] + 6*s[80] + 36*s[82] + 
       3*s[83]) + HPL[{0, 1}, 1 - u]*K1[v, w, u]*(-s[2] + (41*s[3])/4 - 
       (725*s[4])/8 - (6209*s[5])/88 - (3691*s[6])/22 - (800785*s[7])/528 + 
       (43400*s[8])/297 + (277181*s[9])/216 + (74737*s[10])/216 + 
       (2697811*s[11])/1584 + (1525321*s[12])/792 + (1840171*s[13])/1584 + 
       (176581*s[14])/1584 + (273023*s[15])/144 + (985759*s[16])/396 + 
       (2824807*s[17])/1584 + (177157*s[18])/648 + (129593*s[19])/648 + 
       (20824577*s[20])/7128 + (15048481*s[21])/14256 - 
       (11455523*s[22])/14256 - (191174*s[23])/99 - (2874499*s[24])/1782 + 
       (281947249*s[25])/128304 - (151631893*s[26])/128304 + 2*s[29] - 
       s[30] + (5*s[32])/2 + s[33]/4 + s[35] + (13*s[36])/2 - (37*s[37])/4 - 
       (141*s[38])/2 + (2183*s[39])/8 - (2347*s[40])/8 + (1773*s[41])/8 - 
       (3113*s[42])/8 - (19793*s[43])/88 + (41837*s[44])/176 - 
       (19563*s[45])/88 + (20442*s[46])/11 - (19997*s[47])/176 + 
       (1893*s[48])/176 + (179143*s[49])/176 - (60647*s[50])/44 - 
       (139501*s[51])/528 - (38625*s[52])/176 + (126535*s[53])/132 - 
       (3519*s[54])/44 + (3146873*s[55])/528 + (845747*s[56])/528 - 
       (899069*s[57])/396 + (14506555*s[58])/4752 - (14647387*s[59])/4752 - 
       (5225757*s[60])/352 + (16690109*s[61])/21384 + s[65]/2 + s[66] - 
       2*s[67] - 3*s[68] - 2*s[69] - s[70] - s[71]/2 - 2*s[72] + 6*s[73] + 
       (3*s[74])/2 - (3*s[75])/2 + 2*s[76] + 2*s[77] - 4*s[78] - 8*s[79] + 
       (5*s[80])/2 + 9*s[82] - (3*s[83])/2 - 3*s[84]) + 
     HPL[{0, 1}, 1 - w]*K1[w, u, v]*((57*s[3])/4 - (611*s[4])/8 - 
       (3523*s[5])/88 - (2307*s[6])/22 - (1770775*s[7])/1584 + 
       (19351*s[8])/198 + (69071*s[9])/72 + (19609*s[10])/72 + 
       (658415*s[11])/528 + (370633*s[12])/264 + (1346789*s[13])/1584 + 
       (40913*s[14])/528 + (205207*s[15])/144 + (1460839*s[16])/792 + 
       (2092609*s[17])/1584 + (39695*s[18])/216 + (36493*s[19])/216 + 
       (5158651*s[20])/2376 + (1186891*s[21])/1584 - (2868455*s[22])/4752 - 
       (1066925*s[23])/792 - (2913727*s[24])/2376 + (7694281*s[25])/4752 - 
       (4011673*s[26])/4752 + s[30] + s[32] + 3*s[35] + (17*s[36])/6 - 
       (27*s[37])/4 - 48*s[38] + (1477*s[39])/8 - (5075*s[40])/24 + 
       (1333*s[41])/8 - (6415*s[42])/24 - (41329*s[43])/264 + 
       (91115*s[44])/528 - (12297*s[45])/88 + (83065*s[46])/66 - 
       (98509*s[47])/1584 - (19375*s[48])/1584 + (1117447*s[49])/1584 - 
       (32390*s[50])/33 - (303671*s[51])/1584 - (241313*s[52])/1584 + 
       (63781*s[53])/99 - (1258*s[54])/33 + (2150057*s[55])/528 + 
       (1683985*s[56])/1584 - (1744603*s[57])/1188 + (29033261*s[58])/14256 - 
       (29283857*s[59])/14256 - (99519763*s[60])/9504 + 
       (31026433*s[61])/64152 + s[68] + s[74] - s[75] + 2*s[77] - 34*s[79] + 
       (19*s[80])/2 + 9*s[82] - (3*s[83])/2 - 3*s[84]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*Phi6[u, v, w]*
      ((-7*s[2])/2 - (33*s[3])/2 - (811*s[4])/8 - (12451*s[5])/176 - 
       (4087*s[6])/22 - (542807*s[7])/352 + (633515*s[8])/4752 + 
       (554605*s[9])/432 + (82027*s[10])/216 + (2713849*s[11])/1584 + 
       (5997235*s[12])/3168 + (3656615*s[13])/3168 + (465527*s[14])/3168 + 
       (579151*s[15])/288 + (4093879*s[16])/1584 + (193135*s[17])/99 + 
       (389585*s[18])/1296 + (275107*s[19])/1296 + (5327741*s[20])/1782 + 
       (31348025*s[21])/28512 - (22872733*s[22])/28512 - 
       (6284647*s[23])/3168 - (46560145*s[24])/28512 + 
       (35305541*s[25])/16038 - (38616739*s[26])/32076 - s[30] - 2*s[31] - 
       (13*s[33])/8 + (7*s[34])/2 + 4*s[36] - (25*s[37])/6 - 29*s[38] + 
       (969*s[39])/8 - (1093*s[40])/8 + (827*s[41])/8 - (1403*s[42])/8 - 
       (9145*s[43])/88 + (9869*s[44])/88 - (56009*s[45])/528 + 
       (455339*s[46])/528 - (46777*s[47])/1056 - (8101*s[48])/1056 + 
       (492331*s[49])/1056 - (113965*s[50])/176 - (126025*s[51])/1056 - 
       (26219*s[52])/264 + (178657*s[53])/396 - (16873*s[54])/528 + 
       (2975893*s[55])/1056 + (2408533*s[56])/3168 - (4855307*s[57])/4752 + 
       (40312595*s[58])/28512 - (40792871*s[59])/28512 - 
       (14527303*s[60])/2112 + (95382041*s[61])/256608 - s[71]/4 + 2*s[73] + 
       s[74]/2 - s[75]/2 + 2*s[76] - 2*s[78] - (11*s[79])/2 + (13*s[80])/6 - 
       10*s[82] - s[83] - 2*s[84]) + G[u, v, w]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*(-33*s[82] - (3*s[83])/4 - (3*s[84])/2) + 
     G[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*(-2*s[2] + (71*s[3])/4 - 
       (223*s[4])/8 - (3139*s[5])/44 - (9703*s[6])/88 - (189357*s[7])/176 + 
       (42331*s[8])/792 + (34039*s[9])/36 + (3044*s[10])/9 + 
       (619213*s[11])/528 + (162245*s[12])/132 + (382531*s[13])/528 + 
       (144085*s[14])/528 + (70813*s[15])/48 + (247147*s[16])/132 + 
       (816511*s[17])/528 + (10633*s[18])/54 + (36761*s[19])/216 + 
       (5444975*s[20])/2376 + (4232035*s[21])/4752 - (2780507*s[22])/4752 - 
       (28445*s[23])/33 - (1442555*s[24])/1188 + (15029581*s[25])/10692 - 
       (8941441*s[26])/10692 - 2*s[31] + (5*s[32])/2 - (5*s[33])/4 + 
       4*s[34] + (9*s[36])/2 - (9*s[37])/2 - (31*s[38])/2 + (357*s[39])/8 - 
       (369*s[40])/8 + (239*s[41])/8 - (419*s[42])/8 - (4347*s[43])/88 + 
       (8901*s[44])/176 - (4305*s[45])/44 + (51727*s[46])/88 + 
       (303*s[47])/176 - (7331*s[48])/176 + (45379*s[49])/176 - 
       (4923*s[50])/11 - (13117*s[51])/528 - (4413*s[52])/176 + 
       (42307*s[53])/132 + (755*s[54])/11 + (1132397*s[55])/528 + 
       (296819*s[56])/528 - (12263*s[57])/99 + (3934825*s[58])/4752 - 
       (4031971*s[59])/4752 - (1785255*s[60])/352 + (11864893*s[61])/42768 + 
       s[73] + s[74]/2 - s[75]/2 + 2*s[76] - 3*s[78] - 3*s[79] - s[80] - 
       33*s[82] - (3*s[83])/4 - (3*s[84])/2) + F1[v, w, u]*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*(-9*s[82] - (3*s[83])/4 - (3*s[84])/2) + 
     F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      ((-7*s[2])/2 + (39*s[3])/4 - (485*s[4])/8 - 82*s[5] - (1127*s[6])/8 - 
       (64345*s[7])/48 + (6877*s[8])/72 + (41729*s[9])/36 + 
       (13225*s[10])/36 + (70285*s[11])/48 + (37633*s[12])/24 + 
       (14751*s[13])/16 + (11107*s[14])/48 + (87485*s[15])/48 + 
       (9163*s[16])/4 + (87887*s[17])/48 + (7186*s[18])/27 + 
       (39277*s[19])/216 + (593759*s[20])/216 + (456421*s[21])/432 - 
       (309245*s[22])/432 - (11783*s[23])/8 - (310495*s[24])/216 + 
       (1755637*s[25])/972 - (1016197*s[26])/972 - 2*s[31] + (3*s[32])/2 - 
       (5*s[33])/4 + 4*s[34] + (9*s[36])/2 - (11*s[37])/2 - (47*s[38])/2 + 
       (649*s[39])/8 - (677*s[40])/8 + (501*s[41])/8 - (877*s[42])/8 - 
       (569*s[43])/8 + (1169*s[44])/16 - (221*s[45])/2 + (5907*s[46])/8 - 
       (1249*s[47])/48 - (475*s[48])/48 + (16147*s[49])/48 - (1117*s[50])/2 - 
       (3379*s[51])/48 - (2855*s[52])/48 + (803*s[53])/2 + (113*s[54])/4 + 
       (124735*s[55])/48 + (33209*s[56])/48 - (19631*s[57])/36 + 
       (492655*s[58])/432 - (503869*s[59])/432 - (1742449*s[60])/288 + 
       (1319623*s[61])/3888 + s[73] + s[74]/2 - s[75]/2 + 2*s[76] - 3*s[78] - 
       3*s[79] - s[80] - 9*s[82] - (3*s[83])/4 - (3*s[84])/2) + 
     F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*(-6*s[82] - (3*s[83])/4 - 
       (3*s[84])/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*Phi6[u, v, w]*
      (-6*s[82] - (3*s[83])/4 - (3*s[84])/2) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^2*Phi6[u, v, w]*((-7*s[2])/2 + (39*s[3])/4 - 
       (461*s[4])/8 - (3629*s[5])/44 - (12119*s[6])/88 - (696845*s[7])/528 + 
       (73955*s[8])/792 + (20599*s[9])/18 + (6473*s[10])/18 + 
       (760493*s[11])/528 + (203647*s[12])/132 + (159417*s[13])/176 + 
       (124697*s[14])/528 + (28557*s[15])/16 + (197991*s[16])/88 + 
       (949687*s[17])/528 + (29167*s[18])/108 + (36325*s[19])/216 + 
       (6442159*s[20])/2376 + (4980059*s[21])/4752 - (3353239*s[22])/4752 - 
       (128851*s[23])/88 - (3326057*s[24])/2376 + (9465667*s[25])/5346 - 
       (11020649*s[26])/10692 - 2*s[31] + (3*s[32])/2 - (5*s[33])/4 + 
       4*s[34] + (9*s[36])/2 - (11*s[37])/2 - 23*s[38] + (625*s[39])/8 - 
       (653*s[40])/8 + (477*s[41])/8 - (845*s[42])/8 - (5901*s[43])/88 + 
       (12171*s[44])/176 - (4883*s[45])/44 + (63741*s[46])/88 - 
       (14717*s[47])/528 - (3563*s[48])/528 + (167351*s[49])/528 - 
       (24051*s[50])/44 - (36307*s[51])/528 - (31453*s[52])/528 + 
       (34505*s[53])/88 + (1071*s[54])/44 + (448501*s[55])/176 + 
       (365545*s[56])/528 - (111035*s[57])/198 + (5383223*s[58])/4752 - 
       (5452145*s[59])/4752 - (18726317*s[60])/3168 + 
       (14533025*s[61])/42768 + s[73] + s[74]/2 - s[75]/2 + 2*s[76] - 
       3*s[78] - 3*s[79] - s[80] - 6*s[82] - (3*s[83])/4 - (3*s[84])/2) + 
     F1[w, u, v]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      ((-7*s[2])/2 + (39*s[3])/4 - (461*s[4])/8 - (3875*s[5])/44 - 
       (12615*s[6])/88 - (242929*s[7])/176 + (76301*s[8])/792 + 
       (10778*s[9])/9 + (3433*s[10])/9 + (790139*s[11])/528 + 
       (420275*s[12])/264 + (491435*s[13])/528 + (139829*s[14])/528 + 
       (90601*s[15])/48 + (155563*s[16])/66 + (1008749*s[17])/528 + 
       (30571*s[18])/108 + (38233*s[19])/216 + (6776149*s[20])/2376 + 
       (5254679*s[21])/4752 - (3496243*s[22])/4752 - (393959*s[23])/264 - 
       (3481385*s[24])/2376 + (39202909*s[25])/21384 - 
       (23031997*s[26])/21384 - 2*s[31] + (3*s[32])/2 - (5*s[33])/4 + 
       4*s[34] + (9*s[36])/2 - (11*s[37])/2 - 23*s[38] + (625*s[39])/8 - 
       (653*s[40])/8 + (477*s[41])/8 - (845*s[42])/8 - (5991*s[43])/88 + 
       (12151*s[44])/176 - (5195*s[45])/44 + (66419*s[46])/88 - 
       (4753*s[47])/176 - (1123*s[48])/176 + (56323*s[49])/176 - 
       (12571*s[50])/22 - (12027*s[51])/176 - (10611*s[52])/176 + 
       (27301*s[53])/66 + (857*s[54])/44 + (474535*s[55])/176 + 
       (384427*s[56])/528 - (199831*s[57])/396 + (5516393*s[58])/4752 - 
       (5612567*s[59])/4752 - (6514085*s[60])/1056 + (15324119*s[61])/42768 + 
       s[73] + s[74]/2 - s[75]/2 + 2*s[76] - 3*s[78] - 3*s[79] - s[80] - 
       6*s[82] - (3*s[83])/4 - (3*s[84])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      K1[w, u, v]*((-3*s[3])/4 - (3*s[4])/8 + (3*s[5])/8 + (9*s[6])/2 + 
       (3*s[7])/16 + (2*s[8])/3 + (25*s[9])/24 + (11*s[10])/24 - 
       (21*s[11])/16 + (9*s[12])/8 - (109*s[13])/16 - (79*s[14])/16 - 
       s[15]/16 - (9*s[16])/8 - (81*s[17])/16 + (305*s[18])/72 - 
       (137*s[19])/72 + (545*s[20])/72 + (37*s[21])/144 - (35*s[22])/144 - 
       (251*s[23])/8 + (425*s[24])/72 - (2675*s[25])/1296 + 
       (2099*s[26])/1296 - s[36]/2 - s[37]/4 + (3*s[39])/8 + s[40]/8 + 
       (3*s[41])/8 - (11*s[42])/8 + (25*s[43])/8 - (19*s[44])/16 - s[45]/8 - 
       (33*s[47])/16 + (101*s[48])/16 - (125*s[49])/16 - 3*s[50] - 
       (35*s[51])/16 - (13*s[52])/16 + (35*s[55])/16 + (53*s[56])/16 - 
       (347*s[57])/12 + (1213*s[58])/144 - (745*s[59])/144 + 
       (2377*s[60])/96 + (2423*s[61])/648 - s[80]/2 + 2*s[82] - s[83]/2 - 
       s[84]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*K1[v, w, u]*
      ((-3*s[2])/2 - (7*s[3])/4 - (757*s[4])/8 - (411*s[5])/8 - 
       (295*s[6])/2 - (62647*s[7])/48 + (7301*s[8])/54 + (234125*s[9])/216 + 
       (62065*s[10])/216 + (211589*s[11])/144 + (120371*s[12])/72 + 
       (145733*s[13])/144 + (6107*s[14])/144 + (235931*s[15])/144 + 
       (77393*s[16])/36 + (220121*s[17])/144 + (148321*s[18])/648 + 
       (121709*s[19])/648 + (1588819*s[20])/648 + (1111871*s[21])/1296 - 
       (884245*s[22])/1296 - (16186*s[23])/9 - (111874*s[24])/81 + 
       (22536419*s[25])/11664 - (11737679*s[26])/11664 + 2*s[29] - s[30] + 
       s[32]/2 + s[33]/4 + s[35] + (5*s[36])/2 - (59*s[37])/12 - 28*s[38] + 
       (977*s[39])/8 - (1013*s[40])/8 + (757*s[41])/8 - (1425*s[42])/8 - 
       (725*s[43])/8 + (1605*s[44])/16 - (1853*s[45])/24 + (4463*s[46])/6 - 
       (2963*s[47])/48 + (1339*s[48])/48 + (20321*s[49])/48 - 546*s[50] - 
       (5677*s[51])/48 - (4603*s[52])/48 + (27307*s[53])/72 - 
       (551*s[54])/12 + (36579*s[55])/16 + (89293*s[56])/144 - 
       (29044*s[57])/27 + (1620365*s[58])/1296 - (1622849*s[59])/1296 - 
       (1677949*s[60])/288 + (1751827*s[61])/5832 + s[65]/2 + s[66] - 
       2*s[67] - 2*s[68] - 3*s[69] - s[71]/2 - 2*s[72] + 2*s[73] + s[74] - 
       s[75] - 2*s[78] - 4*s[79] + (19*s[80])/6 + 2*s[82] - s[83]/2 - 
       s[84]) + HPL[{1}, 1 - u]^2*K1[v, w, u]*(-3*s[82] - (3*s[83])/8 - 
       (3*s[84])/4) + HPL[{1}, 1 - w]^2*K1[w, u, v]*
      ((3*s[2])/2 - (41*s[3])/8 - (863*s[4])/16 - (79*s[5])/8 - 
       (797*s[6])/16 - (49199*s[7])/96 + (28447*s[8])/432 + 
       (44077*s[9])/108 + (2879*s[10])/27 + (167371*s[11])/288 + 
       (48767*s[12])/72 + (116749*s[13])/288 - (14489*s[14])/288 + 
       (186649*s[15])/288 + (61753*s[16])/72 + (168469*s[17])/288 + 
       (6641*s[18])/81 + (118525*s[19])/1296 + (1182869*s[20])/1296 + 
       (744313*s[21])/2592 - (683945*s[22])/2592 - (60593*s[23])/72 - 
       (346505*s[24])/648 + (9299363*s[25])/11664 - (4427555*s[26])/11664 + 
       s[29] - s[30]/2 + s[31]/2 + s[33]/2 + s[35]/2 + (5*s[36])/4 + 
       s[37]/3 - (43*s[38])/4 + (977*s[39])/16 - (1053*s[40])/16 + 
       (863*s[41])/16 - (1527*s[42])/16 - (597*s[43])/16 + (1717*s[44])/32 - 
       (431*s[45])/24 + (14383*s[46])/48 - (3067*s[47])/96 + 
       (1931*s[48])/96 + (19537*s[49])/96 - (951*s[50])/4 - (6241*s[51])/96 - 
       (4355*s[52])/96 + (11395*s[53])/72 - (2*s[54])/3 + (85753*s[55])/96 + 
       (59993*s[56])/288 - (29945*s[57])/54 + (1337563*s[58])/2592 - 
       (1374445*s[59])/2592 - (1311383*s[60])/576 + (2446261*s[61])/23328 + 
       s[65]/4 + s[66] - s[67] - s[68]/2 - 2*s[69] - s[71]/4 - s[72] + 
       s[73]/2 + s[74] - s[75] - s[76] + s[77] - (3*s[78])/2 - (3*s[79])/2 + 
       (5*s[80])/3 - 3*s[82] - (3*s[83])/8 - (3*s[84])/4) + 
     F1[v, w, u]*HPL[{1}, 1 - u]^3*(3*s[82] + (3*s[83])/8 + (3*s[84])/4) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*Phi6[u, v, w]*(3*s[82] + (3*s[83])/8 + 
       (3*s[84])/4) + F1[v, w, u]*HPL[{1}, 1 - w]^3*
      ((-3*s[2])/2 + (41*s[3])/8 + (2653*s[4])/48 + (865*s[5])/88 + 
       (26881*s[6])/528 + (549925*s[7])/1056 - (319673*s[8])/4752 - 
       (22373*s[9])/54 - (5815*s[10])/54 - (1868765*s[11])/3168 - 
       (272285*s[12])/396 - (1303559*s[13])/3168 + (166363*s[14])/3168 - 
       (189721*s[15])/288 - (689747*s[16])/792 - (1881035*s[17])/3168 - 
       (27389*s[18])/324 - (118321*s[19])/1296 - (13193695*s[20])/14256 - 
       (8330747*s[21])/28512 + (7636771*s[22])/28512 + (340973*s[23])/396 + 
       (1927271*s[24])/3564 - (103833067*s[25])/128304 + 
       (49528219*s[26])/128304 - s[29] + s[30]/2 - s[31]/2 - s[33]/2 - 
       s[35]/2 - (5*s[36])/4 - s[37]/3 + (127*s[38])/12 - (2987*s[39])/48 + 
       (3215*s[40])/48 - (2653*s[41])/48 + (4685*s[42])/48 + 
       (19981*s[43])/528 - (57337*s[44])/1056 + (4729*s[45])/264 - 
       (160805*s[46])/528 + (34921*s[47])/1056 - (7683*s[48])/352 - 
       (217403*s[49])/1056 + (15943*s[50])/66 + (70219*s[51])/1056 + 
       (49021*s[52])/1056 - (127685*s[53])/792 + (20*s[54])/11 - 
       (2876153*s[55])/3168 - (673171*s[56])/3168 + (675203*s[57])/1188 - 
       (15001073*s[58])/28512 + (15395111*s[59])/28512 + 
       (14599693*s[60])/6336 - (27442955*s[61])/256608 - s[65]/4 - s[66] + 
       s[67] + s[68]/2 + 2*s[69] + s[71]/4 + s[72] - s[73]/2 - s[74] + 
       s[75] + s[76] - s[77] + (3*s[78])/2 + (3*s[79])/2 - (5*s[80])/3 + 
       3*s[82] + (3*s[83])/8 + (3*s[84])/4) + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3*Phi6[u, v, w]*((-3*s[2])/2 + (41*s[3])/8 + 
       (863*s[4])/16 + (669*s[5])/88 + (8431*s[6])/176 + (508597*s[7])/1056 - 
       (305141*s[8])/4752 - (41161*s[9])/108 - (2555*s[10])/27 - 
       (1749785*s[11])/3168 - (516133*s[12])/792 - (1244927*s[13])/3168 + 
       (202867*s[14])/3168 - (171529*s[15])/288 - (636335*s[16])/792 - 
       (1675895*s[17])/3168 - (12607*s[18])/162 - (108373*s[19])/1296 - 
       (11976271*s[20])/14256 - (7442675*s[21])/28512 + 
       (7075843*s[22])/28512 + (665011*s[23])/792 + (3541015*s[24])/7128 - 
       (97975585*s[25])/128304 + (45898129*s[26])/128304 - s[29] + s[30]/2 - 
       s[31]/2 - s[33]/2 - s[35]/2 - (5*s[36])/4 - s[37]/3 + (43*s[38])/4 - 
       (977*s[39])/16 + (1053*s[40])/16 - (863*s[41])/16 + (1527*s[42])/16 + 
       (6423*s[43])/176 - (18743*s[44])/352 + (3877*s[45])/264 - 
       (150005*s[46])/528 + (34505*s[47])/1056 - (21001*s[48])/1056 - 
       (211403*s[49])/1056 + (9861*s[50])/44 + (69083*s[51])/1056 + 
       (47473*s[52])/1056 - (116417*s[53])/792 - (61*s[54])/66 - 
       (862883*s[55])/1056 - (610579*s[56])/3168 + (353587*s[57])/594 - 
       (14431961*s[58])/28512 + (14724911*s[59])/28512 + 
       (13501069*s[60])/6336 - (24733319*s[61])/256608 - s[65]/4 - s[66] + 
       s[67] + s[68]/2 + 2*s[69] + s[71]/4 + s[72] - s[73]/2 - s[74] + 
       s[75] + s[76] - s[77] + (3*s[78])/2 + (3*s[79])/2 - (5*s[80])/3 + 
       3*s[82] + (3*s[83])/8 + (3*s[84])/4) + F1[u, v, w]*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*(6*s[82] + (3*s[83])/8 + (3*s[84])/4) + 
     F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      ((-3*s[2])/2 + (41*s[3])/8 + (811*s[4])/16 + (1325*s[5])/88 + 
       (9783*s[6])/176 + (555217*s[7])/1056 - (290117*s[8])/4752 - 
       (22787*s[9])/54 - (6211*s[10])/54 - (1883729*s[11])/3168 - 
       (270911*s[12])/396 - (1302659*s[13])/3168 + (76663*s[14])/3168 - 
       (193861*s[15])/288 - (705209*s[16])/792 - (1985591*s[17])/3168 - 
       (29063*s[18])/324 - (114541*s[19])/1296 - (13689739*s[20])/14256 - 
       (9132359*s[21])/28512 + (7721839*s[22])/28512 + (83462*s[23])/99 + 
       (978715*s[24])/1782 - (102649207*s[25])/128304 + 
       (50897479*s[26])/128304 - s[29] + s[30]/2 - s[31]/2 - s[33]/2 - 
       s[35]/2 - (5*s[36])/4 - s[37]/3 + (43*s[38])/4 - (925*s[39])/16 + 
       (1001*s[40])/16 - (811*s[41])/16 + (1427*s[42])/16 + 
       (6443*s[43])/176 - (18455*s[44])/352 + (5845*s[45])/264 - 
       (161441*s[46])/528 + (29573*s[47])/1056 - (12997*s[48])/1056 - 
       (211391*s[49])/1056 + (2619*s[50])/11 + (62687*s[51])/1056 + 
       (43177*s[52])/1056 - (127007*s[53])/792 - (139*s[54])/66 - 
       (327997*s[55])/352 - (715303*s[56])/3168 + (629141*s[57])/1188 - 
       (14918237*s[58])/28512 + (15320699*s[59])/28512 + 
       (14791081*s[60])/6336 - (28808039*s[61])/256608 - s[65]/4 - s[66] + 
       s[67] + s[68]/2 + 2*s[69] + s[71]/4 + s[72] - s[73]/2 - s[74] + 
       s[75] + s[76] - s[77] + (3*s[78])/2 + (3*s[79])/2 - (5*s[80])/3 + 
       6*s[82] + (3*s[83])/8 + (3*s[84])/4) + G[u, v, w]*HPL[{1}, 1 - u]^2*
      ((33*s[82])/2 + (3*s[83])/8 + (3*s[84])/4) + 
     G[u, v, w]*HPL[{1}, 1 - w]^2*(-3*s[2] + (25*s[3])/8 + (733*s[4])/16 - 
       (175*s[5])/88 + (6141*s[6])/176 + (383905*s[7])/1056 - 
       (237077*s[8])/4752 - (7495*s[9])/27 - (8819*s[10])/108 - 
       (1346453*s[11])/3168 - (100273*s[12])/198 - (978647*s[13])/3168 + 
       (226075*s[14])/3168 - (130453*s[15])/288 - (494111*s[16])/792 - 
       (1266083*s[17])/3168 - (24325*s[18])/648 - (122383*s[19])/1296 - 
       (8798521*s[20])/14256 - (4702655*s[21])/28512 + 
       (5341999*s[22])/28512 + (231983*s[23])/396 + (2937949*s[24])/7128 - 
       (77613919*s[25])/128304 + (33405019*s[26])/128304 - s[29] + s[30]/2 - 
       s[31]/2 - s[32]/4 - s[33]/2 - s[35]/2 - (5*s[36])/4 - (13*s[37])/12 + 
       (15*s[38])/2 - (809*s[39])/16 + (877*s[40])/16 - (733*s[41])/16 + 
       (1261*s[42])/16 + (5583*s[43])/176 - (17595*s[44])/352 + 
       (1081*s[45])/264 - (117041*s[46])/528 + (20417*s[47])/1056 - 
       (5257*s[48])/1056 - (200819*s[49])/1056 + (16077*s[50])/88 + 
       (53959*s[51])/1056 + (32677*s[52])/1056 - (91265*s[53])/792 - 
       (5983*s[54])/264 - (657443*s[55])/1056 - (364891*s[56])/3168 + 
       (980743*s[57])/2376 - (10318685*s[58])/28512 + 
       (11012423*s[59])/28512 + (11018101*s[60])/6336 - 
       (15320555*s[61])/256608 - s[65]/4 - s[66] + s[67] + s[68]/2 + 
       2*s[69] + s[71]/4 + s[72] - s[73]/2 - s[74] + s[75] + s[76] - s[77] + 
       (3*s[78])/2 + (3*s[79])/2 - (5*s[80])/3 + (33*s[82])/2 + (3*s[83])/8 + 
       (3*s[84])/4) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Phi6[u, v, w]*((3*s[2])/2 + s[3] + (385*s[4])/4 + (648*s[5])/11 + 
       (13133*s[6])/88 + (1101103*s[7])/792 - (334457*s[8])/2376 - 
       (250843*s[9])/216 - (16991*s[10])/54 - (2473457*s[11])/1584 - 
       (2811187*s[12])/1584 - (34904*s[13])/33 - (29219*s[14])/396 - 
       (42103*s[15])/24 - (304987*s[16])/132 - (2618695*s[17])/1584 - 
       (81253*s[18])/324 - (15926*s[19])/81 - (2373500*s[20])/891 - 
       (6623395*s[21])/7128 + (5210705*s[22])/7128 + (1001533*s[23])/528 + 
       (21048463*s[24])/14256 - (261750329*s[25])/128304 + 
       (136715939*s[26])/128304 - 2*s[29] + s[30] - s[32]/2 - s[33]/4 - 
       s[35] - (2*s[36])/3 + (71*s[37])/12 + (57*s[38])/2 - 124*s[39] + 
       (389*s[40])/3 - (385*s[41])/4 + (2179*s[42])/12 + (5603*s[43])/66 - 
       (54565*s[44])/528 + (2846*s[45])/33 - (34697*s[46])/44 + 
       (51265*s[47])/792 - (24503*s[48])/792 - (338485*s[49])/792 + 
       (154439*s[50])/264 + (94301*s[51])/792 + (147481*s[52])/1584 - 
       (17695*s[53])/44 + (3895*s[54])/88 - (650957*s[55])/264 - 
       (67477*s[56])/99 + (1307077*s[57])/1188 - (4686371*s[58])/3564 + 
       (2329303*s[59])/1782 + (14765975*s[60])/2376 - 
       (42365621*s[61])/128304 - s[65]/2 - s[66] + 2*s[67] + 2*s[68] + 
       3*s[69] + s[71]/2 + 2*s[72] - 2*s[73] - s[74] + s[75] + 2*s[78] + 
       7*s[79] - (25*s[80])/6 + 7*s[82] + s[83]/2 + s[84]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Phi6[u, v, w]*
      ((-3*s[2])/4 + (19*s[3])/4 + (17*s[4])/2 - (123*s[5])/88 + 
       (701*s[6])/88 + (8967*s[7])/176 - (916*s[8])/99 - (2755*s[9])/72 - 
       (431*s[10])/72 - (30533*s[11])/528 - (18455*s[12])/264 - 
       (22829*s[13])/528 + (7765*s[14])/528 - (3049*s[15])/48 - 
       (20191*s[16])/264 - (23861*s[17])/528 - (2159*s[18])/216 - 
       (863*s[19])/108 - (47041*s[20])/594 - (90977*s[21])/4752 + 
       (113959*s[22])/4752 + (13663*s[23])/132 + (13582*s[24])/297 - 
       (3772961*s[25])/42768 + (1673405*s[26])/42768 + s[32]/2 + s[36]/2 + 
       (9*s[38])/4 - (73*s[39])/8 + (77*s[40])/8 - (17*s[41])/2 + 
       (29*s[42])/2 + (555*s[43])/88 - (973*s[44])/176 + (185*s[45])/88 - 
       (1351*s[46])/44 + (733*s[47])/176 - (917*s[48])/176 - 
       (4399*s[49])/176 + (2089*s[50])/88 + (2085*s[51])/176 + 
       (1589*s[52])/176 - (2219*s[53])/132 + (751*s[54])/88 - 
       (44137*s[55])/528 - (9475*s[56])/528 + (32023*s[57])/396 - 
       (273833*s[58])/4752 + (288899*s[59])/4752 + (71569*s[60])/352 - 
       (46537*s[61])/5346 + s[80]/2 + 7*s[82] + s[83]/2 + s[84]) + 
     F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      ((3*s[2])/2 - (33*s[3])/4 + (595*s[4])/8 + (4085*s[5])/88 + 
       (5195*s[6])/44 + (207159*s[7])/176 - (65029*s[8])/594 - 
       (214037*s[9])/216 - (63361*s[10])/216 - (2110687*s[11])/1584 - 
       (1196191*s[12])/792 - (1442131*s[13])/1584 - (92053*s[14])/1584 - 
       (211835*s[15])/144 - (774613*s[16])/396 - (2204443*s[17])/1584 - 
       (123463*s[18])/648 - (130043*s[19])/648 - (16038683*s[20])/7128 - 
       (11159293*s[21])/14256 + (8926847*s[22])/14256 + (556451*s[23])/396 + 
       (2325931*s[24])/1782 - (222500809*s[25])/128304 + 
       (115459021*s[26])/128304 - 2*s[29] + s[30] - s[32] - s[33]/4 - s[35] - 
       (5*s[36])/2 + (59*s[37])/12 + (51*s[38])/2 - (805*s[39])/8 + 
       (809*s[40])/8 - (595*s[41])/8 + (1123*s[42])/8 + (6579*s[43])/88 - 
       (14983*s[44])/176 + (19603*s[45])/264 - (22124*s[46])/33 + 
       (23069*s[47])/528 - (4189*s[48])/528 - (201911*s[49])/528 + 
       (22177*s[50])/44 + (15421*s[51])/176 + (38569*s[52])/528 - 
       (267809*s[53])/792 - (307*s[54])/66 - (1100375*s[55])/528 - 
       (864323*s[56])/1584 + (958517*s[57])/1188 - (15417991*s[58])/14256 + 
       (15371551*s[59])/14256 + (5769977*s[60])/1056 - 
       (17439155*s[61])/64152 - s[65]/2 - s[66] + 2*s[67] + 2*s[68] + 
       3*s[69] + s[71]/2 + 2*s[72] - 2*s[73] - s[74] + s[75] + 2*s[78] + 
       4*s[79] - (19*s[80])/6 + 16*s[82] + s[83]/2 + s[84]) + 
     F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      (5*s[3] + (67*s[4])/4 + (1391*s[5])/88 + (1069*s[6])/88 + 
       (80881*s[7])/264 - (22259*s[8])/792 - (18685*s[9])/72 - 
       (7127*s[10])/72 - (21277*s[11])/66 - (89003*s[12])/264 - 
       (15985*s[13])/88 - (6871*s[14])/264 - (1873*s[15])/4 - 
       (11997*s[16])/22 - (122015*s[17])/264 - (9203*s[18])/216 - 
       (2123*s[19])/27 - (755543*s[20])/1188 - (64517*s[21])/297 + 
       (381011*s[22])/2376 + (12365*s[23])/44 + (446773*s[24])/1188 - 
       (17713073*s[25])/42768 + (9410645*s[26])/42768 + s[30] + s[32]/2 - 
       s[36] + s[37]/4 + 5*s[38] - (77*s[39])/4 + (81*s[40])/4 - 
       (67*s[41])/4 + (115*s[42])/4 + (695*s[43])/44 - (1531*s[44])/88 + 
       (2095*s[45])/88 - (14607*s[46])/88 + (1951*s[47])/264 - 
       (2867*s[48])/264 - (22705*s[49])/264 + (6549*s[50])/44 + 
       (5153*s[51])/264 + (3317*s[52])/264 - (9355*s[53])/88 - 
       (435*s[54])/22 - (175529*s[55])/264 - (33149*s[56])/264 - 
       (5*s[57])/396 - (64202*s[58])/297 + (592249*s[59])/2376 + 
       (580399*s[60])/396 - (2941403*s[61])/42768 + s[80]/2 + 16*s[82] + 
       s[83]/2 + s[84]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*K1[v, w, u]*
      (6*s[82] + (3*s[83])/4 + (3*s[84])/2) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      K1[w, u, v]*((7*s[2])/2 - (39*s[3])/4 + (461*s[4])/8 + (3765*s[5])/44 + 
       (12329*s[6])/88 + (717215*s[7])/528 - (75575*s[8])/792 - 
       (42413*s[9])/36 - (6743*s[10])/18 - (779381*s[11])/528 - 
       (103889*s[12])/66 - (162125*s[13])/176 - (133889*s[14])/528 - 
       (29631*s[15])/16 - (102011*s[16])/44 - (987871*s[17])/528 - 
       (7438*s[18])/27 - (38395*s[19])/216 - (6656557*s[20])/2376 - 
       (5137595*s[21])/4752 + (3446083*s[22])/4752 + (32301*s[23])/22 + 
       (1718995*s[24])/1188 - (4843583*s[25])/2673 + (2827862*s[26])/2673 + 
       2*s[31] - (3*s[32])/2 + (5*s[33])/4 - 4*s[34] - (9*s[36])/2 + 
       (11*s[37])/2 + 23*s[38] - (625*s[39])/8 + (653*s[40])/8 - 
       (477*s[41])/8 + (845*s[42])/8 + (5991*s[43])/88 - (12261*s[44])/176 + 
       (5063*s[45])/44 - (65451*s[46])/88 + (13775*s[47])/528 + 
       (3413*s[48])/528 - (169541*s[49])/528 + (24801*s[50])/44 + 
       (36037*s[51])/528 + (31591*s[52])/528 - (17889*s[53])/44 - 
       (967*s[54])/44 - (465515*s[55])/176 - (375847*s[56])/528 + 
       (50428*s[57])/99 - (5442209*s[58])/4752 + (5535215*s[59])/4752 + 
       (19299947*s[60])/3168 - (14979533*s[61])/42768 - s[73] - s[74]/2 + 
       s[75]/2 - 2*s[76] + 3*s[78] + 3*s[79] + s[80] + 6*s[82] + 
       (3*s[83])/4 + (3*s[84])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      K1[u, v, w]*((7*s[2])/2 + (33*s[3])/2 + (199*s[4])/2 + (3391*s[5])/44 + 
       (8161*s[6])/44 + (140181*s[7])/88 - (76781*s[8])/594 - 
       (144209*s[9])/108 - (43603*s[10])/108 - (348427*s[11])/198 - 
       (190786*s[12])/99 - (231265*s[13])/198 - (17453*s[14])/99 - 
       (151967*s[15])/72 - (2122165*s[16])/792 - (407479*s[17])/198 - 
       (25042*s[18])/81 - (73247*s[19])/324 - (11146331*s[20])/3564 - 
       (2063995*s[21])/1782 + (1478903*s[22])/1782 + (1569473*s[23])/792 + 
       (12112151*s[24])/7128 - (72050525*s[25])/32076 + 
       (9973514*s[26])/8019 + s[30] + 2*s[31] + 2*s[33] - 4*s[34] - 4*s[36] + 
       (10*s[37])/3 + (63*s[38])/2 - (477*s[39])/4 + (533*s[40])/4 - 
       (203*s[41])/2 + (339*s[42])/2 + (4607*s[43])/44 - (9601*s[44])/88 + 
       (15277*s[45])/132 - (29281*s[46])/33 + (10853*s[47])/264 + 
       (2339*s[48])/264 - (123419*s[49])/264 + (29487*s[50])/44 + 
       (30685*s[51])/264 + (25855*s[52])/264 - (371689*s[53])/792 + 
       (746*s[54])/33 - (782065*s[55])/264 - (620723*s[56])/792 + 
       (1108507*s[57])/1188 - (10165363*s[58])/7128 + (10381201*s[59])/7128 + 
       (3771199*s[60])/528 - (3093251*s[61])/8019 - 2*s[73] - s[74]/2 + 
       s[75]/2 - 2*s[76] + 2*s[78] + 4*s[79] + (2*s[80])/3 - 4*s[82] + 
       s[83] + 2*s[84]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      Phi6[u, v, w]*((-31*s[3])/2 + 68*s[4] + (247*s[5])/88 + 
       (2433*s[6])/88 + (37427*s[7])/66 - (144877*s[8])/2376 - 
       (103943*s[9])/216 - (22471*s[10])/216 - (267571*s[11])/396 - 
       (162499*s[12])/198 - (51628*s[13])/99 + (14120*s[14])/99 - 
       (46681*s[15])/72 - (87553*s[16])/99 - (375791*s[17])/792 - 
       (36169*s[18])/648 - (40003*s[19])/324 - (823741*s[20])/891 - 
       (1839281*s[21])/7128 + (1125977*s[22])/3564 + (715249*s[23])/792 + 
       (4541695*s[24])/7128 - (122061193*s[25])/128304 + 
       (52167517*s[26])/128304 - s[30] + s[32] - 2*s[36] + (35*s[37])/6 + 
       46*s[38] - (327*s[39])/2 + (363*s[40])/2 - 145*s[41] + 233*s[42] + 
       (2839*s[43])/22 - (1576*s[44])/11 + (5303*s[45])/66 - 
       (29734*s[46])/33 + (5329*s[47])/88 - (347*s[48])/88 - 
       (53079*s[49])/88 + (31211*s[50])/44 + (14749*s[51])/88 + 
       (1455*s[52])/11 - (174323*s[53])/396 - (427*s[54])/33 - 
       (712703*s[55])/264 - (523145*s[56])/792 + (436204*s[57])/297 - 
       (10935475*s[58])/7128 + (11062969*s[59])/7128 + 
       (11812891*s[60])/1584 - (9412067*s[61])/32076 - s[74] + s[75] + 
       28*s[79] - (22*s[80])/3 - 23*s[82] + (3*s[83])/2 + 3*s[84]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      (3*s[2] - (25*s[3])/4 + (707*s[4])/8 + (5157*s[5])/88 + 
       (6439*s[6])/44 + (724301*s[7])/528 - (40082*s[8])/297 - 
       (249329*s[9])/216 - (67381*s[10])/216 - (2452639*s[11])/1584 - 
       (1397167*s[12])/792 - (1686499*s[13])/1584 - (108133*s[14])/1584 - 
       (244115*s[15])/144 - (890767*s[16])/396 - (2513011*s[17])/1584 - 
       (159253*s[18])/648 - (123971*s[19])/648 - (18588575*s[20])/7128 - 
       (13189285*s[21])/14256 + (10337951*s[22])/14256 + (356341*s[23])/198 + 
       (1298090*s[24])/891 - (258442837*s[25])/128304 + 
       (136105873*s[26])/128304 - 2*s[29] + s[30] - s[32]/2 - s[33]/4 - 
       s[35] - (13*s[36])/2 + (35*s[37])/4 + (133*s[38])/2 - (2047*s[39])/8 + 
       (2203*s[40])/8 - (1665*s[41])/8 + (2921*s[42])/8 + (18057*s[43])/88 - 
       (39045*s[44])/176 + (17591*s[45])/88 - (37313*s[46])/22 + 
       (57487*s[47])/528 - (7127*s[48])/528 - (502549*s[49])/528 + 
       (55809*s[50])/44 + (43719*s[51])/176 + (108467*s[52])/528 - 
       (114271*s[53])/132 + (2193*s[54])/44 - (944803*s[55])/176 - 
       (757027*s[56])/528 + (216496*s[57])/99 - (13350899*s[58])/4752 + 
       (13408499*s[59])/4752 + (42962893*s[60])/3168 - 
       (15065605*s[61])/21384 - s[65]/2 - s[66] + 2*s[67] + 3*s[68] + 
       3*s[69] + s[70] + s[71]/2 + 2*s[72] - 6*s[73] - (3*s[74])/2 + 
       (3*s[75])/2 - 2*s[76] - s[77] + 4*s[78] + 8*s[79] - (5*s[80])/2 - 
       23*s[82] + (3*s[83])/2 + 3*s[84]) + HPL[{0, 1}, 1 - u]*K1[u, v, w]*
      (2*s[2] + (9*s[3])/2 + 17*s[4] + (247*s[5])/44 + (1091*s[6])/44 + 
       (16649*s[7])/88 - (11405*s[8])/594 - (16625*s[9])/108 - 
       (6379*s[10])/108 - (17807*s[11])/99 - (31859*s[12])/198 - 
       (17389*s[13])/198 - (3341*s[14])/99 - (22931*s[15])/72 - 
       (280333*s[16])/792 - (34985*s[17])/99 - (7091*s[18])/162 - 
       (4307*s[19])/324 - (1385795*s[20])/3564 - (129284*s[21])/891 + 
       (86749*s[22])/891 + (253421*s[23])/792 + (1033799*s[24])/7128 - 
       (7127423*s[25])/32076 + (2056567*s[26])/16038 + s[30] + 2*s[31] - 
       s[32] + 2*s[33] - 4*s[34] - s[35] - (13*s[36])/2 + s[37]/4 - 
       (21*s[38])/2 - (147*s[39])/8 + (167*s[40])/8 - (193*s[41])/8 + 
       (397*s[42])/8 - (387*s[43])/88 - (2737*s[44])/176 - (1493*s[45])/88 - 
       (1151*s[46])/22 + (13427*s[47])/528 - (27163*s[48])/528 - 
       (5609*s[49])/528 + (2891*s[50])/44 + (18145*s[51])/528 + 
       (6319*s[52])/528 - (2801*s[53])/44 + (479*s[54])/44 - 
       (113485*s[55])/528 - (31663*s[56])/528 + (93013*s[57])/396 - 
       (451535*s[58])/4752 + (579911*s[59])/4752 + (270785*s[60])/3168 - 
       (482671*s[61])/21384 - s[65]/2 - s[66] + 2*s[67] + 3*s[68] + 3*s[69] + 
       s[70] + s[71]/2 + 2*s[72] - 4*s[73] - (3*s[74])/2 + (3*s[75])/2 - 
       s[76] - 3*s[77] + 4*s[78] + 8*s[79] - (5*s[80])/2 - 6*s[82] + 
       (3*s[83])/2 + 3*s[84]) + HPL[{0, 1}, 1 - w]*K1[u, v, w]*
      ((7*s[2])/2 + (15*s[3])/4 - (67*s[4])/8 + (1099*s[5])/44 + 
       (1669*s[6])/88 + (63245*s[7])/528 - (5909*s[8])/792 - (1921*s[9])/18 - 
       (869*s[10])/18 - (48815*s[11])/528 - (5911*s[12])/132 + 
       (1469*s[13])/176 - (53087*s[14])/528 - (11863*s[15])/48 - 
       (10847*s[16])/44 - (171085*s[17])/528 - (1891*s[18])/27 + 
       (5645*s[19])/216 - (785233*s[20])/2376 - (837569*s[21])/4752 + 
       (269521*s[22])/4752 + (3665*s[23])/22 + (47431*s[24])/1188 - 
       (162020*s[25])/2673 + (525955*s[26])/5346 + 2*s[30] + 2*s[31] - 
       (3*s[32])/2 + 2*s[33] - 4*s[34] - s[35] - 5*s[36] - (13*s[37])/6 - 
       (21*s[38])/2 - 3*s[39] - 6*s[40] + (5*s[41])/4 + (77*s[42])/4 - 
       (266*s[43])/11 + (877*s[44])/88 - (1559*s[45])/132 + 
       (4823*s[46])/132 + (2543*s[47])/88 - (5509*s[48])/88 + 
       (6451*s[49])/88 - (1369*s[50])/44 + (1273*s[51])/88 - (63*s[52])/88 - 
       (1754*s[53])/99 + (3521*s[54])/132 + (14363*s[55])/264 - 
       (4559*s[56])/792 + (20563*s[57])/297 + (302999*s[58])/7128 - 
       (196403*s[59])/7128 - (1375481*s[60])/1584 - (1549981*s[61])/64152 - 
       s[65]/2 - s[66] + 2*s[67] + 3*s[68] + 3*s[69] + s[70] + s[71]/2 + 
       2*s[72] - 4*s[73] - (3*s[74])/2 + (3*s[75])/2 + s[76] - 3*s[77] + 
       4*s[78] - 12*s[79] + (2*s[80])/3 - 6*s[82] + (3*s[83])/2 + 3*s[84]) + 
     HPL[{0, 0, 1, 1}, 1 - u]*Phi6[u, v, w]*(10*s[2] + 35*s[3] + 
       (371*s[4])/4 + (6371*s[5])/44 + (3672*s[6])/11 + (1854593*s[7])/792 - 
       (166523*s[8])/1188 - (211183*s[9])/108 - (36883*s[10])/54 - 
       (2050409*s[11])/792 - (1090901*s[12])/396 - (149089*s[13])/88 - 
       (438083*s[14])/792 - (74893*s[15])/24 - (527323*s[16])/132 - 
       (2590615*s[17])/792 - (38063*s[18])/81 - (118051*s[19])/324 - 
       (4282153*s[20])/891 - (13672451*s[21])/7128 + (8550259*s[22])/7128 + 
       (93657*s[23])/44 + (4799611*s[24])/1782 - (101147011*s[25])/32076 + 
       (15215296*s[26])/8019 - 3*s[30] + 2*s[31] + s[32] - (21*s[33])/4 + 
       s[34] + 12*s[37] + 96*s[38] - 312*s[39] + 336*s[40] - 240*s[41] + 
       420*s[42] + (3048*s[43])/11 - (2976*s[44])/11 + (3216*s[45])/11 - 
       (24098*s[46])/11 + (1236*s[47])/11 + (444*s[48])/11 - 
       (13344*s[49])/11 + (17448*s[50])/11 + (3096*s[51])/11 + 
       (2844*s[52])/11 - (11928*s[53])/11 + (1116*s[54])/11 - 
       (76496*s[55])/11 - (20796*s[56])/11 + (28626*s[57])/11 - 
       (39972*s[58])/11 + (39876*s[59])/11 + (195848*s[60])/11 - 
       (91940*s[61])/99 + 2*s[68] - 8*s[73] - 160*s[82] + (3*s[83])/2 - 
       21*s[84] - 44*s[85]) + HPL[{0, 0, 1, 1}, 1 - w]*Phi6[u, v, w]*
      (-4*s[2] + 10*s[3] - 118*s[4] - (3873*s[5])/22 - (4651*s[6])/11 - 
       (495833*s[7])/132 + (62803*s[8])/297 + (87395*s[9])/27 + 
       (35455*s[10])/27 + (394754*s[11])/99 + (406543*s[12])/99 + 
       (235349*s[13])/99 + (459485*s[14])/396 + (189379*s[15])/36 + 
       (651278*s[16])/99 + (1111939*s[17])/198 + (213703*s[18])/324 + 
       (216941*s[19])/324 + (29311013*s[20])/3564 + (5371963*s[21])/1782 - 
       (3540821*s[22])/1782 - (909793*s[23])/396 - (7988291*s[24])/1782 + 
       (38373329*s[25])/8019 - (45375907*s[26])/16038 + 2*s[30] + 4*s[31] - 
       s[32] + 6*s[33] - 12*s[34] + s[35] - (61*s[36])/6 + (71*s[37])/3 + 
       (73*s[38])/2 - (1063*s[39])/8 + (2521*s[40])/24 - (389*s[41])/8 + 
       (5015*s[42])/24 - (8893*s[43])/264 - (6397*s[44])/528 - 
       (30931*s[45])/132 + (79679*s[46])/88 + (310355*s[47])/1584 - 
       (541903*s[48])/1584 + (171751*s[49])/1584 - (28505*s[50])/33 + 
       (212557*s[51])/1584 + (222823*s[52])/1584 + (13715*s[53])/22 + 
       (2193*s[54])/11 + (799527*s[55])/176 + (1712165*s[56])/1584 + 
       (3998179*s[57])/1188 + (4680367*s[58])/14256 - (5641873*s[59])/14256 - 
       (92581945*s[60])/9504 + (80347609*s[61])/128304 + 2*s[68] - 6*s[70] + 
       s[71] + 2*s[72] - 3*s[73] - (5*s[74])/2 + (5*s[75])/2 - 6*s[76] + 
       s[77] + 9*s[78] - 22*s[79] + (25*s[80])/3 - 160*s[82] + (3*s[83])/2 - 
       21*s[84] - 44*s[85]) + F1[w, u, v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((-43*s[2])/4 - (185*s[3])/8 - (5493*s[4])/16 - (3615*s[5])/11 - 
       (129099*s[6])/176 - (2314255*s[7])/352 + (774827*s[8])/1584 + 
       (50128*s[9])/9 + (132325*s[10])/72 + (7598627*s[11])/1056 + 
       (2051023*s[12])/264 + (4889837*s[13])/1056 + (1149191*s[14])/1056 + 
       (848947*s[15])/96 + (738839*s[16])/66 + (9344069*s[17])/1056 + 
       (133397*s[18])/108 + (434539*s[19])/432 + (63460003*s[20])/4752 + 
       (46980641*s[21])/9504 - (32803717*s[22])/9504 - (917141*s[23])/132 - 
       (17310877*s[24])/2376 + (385419103*s[25])/42768 - 
       (217163239*s[26])/42768 - 3*s[31] - s[32]/2 + (5*s[33])/8 + 3*s[34] + 
       (5*s[35])/2 + (32*s[36])/3 - (137*s[37])/12 - 185*s[38] + 
       (5779*s[39])/8 - (19537*s[40])/24 + (5107*s[41])/8 - 
       (24479*s[42])/24 - (178199*s[43])/264 + (185993*s[44])/264 - 
       (218995*s[45])/264 + (271629*s[46])/44 - (79865*s[47])/396 - 
       (152965*s[48])/792 + (1229045*s[49])/396 - (629485*s[50])/132 - 
       (556079*s[51])/792 - (220717*s[52])/396 + (218459*s[53])/66 + 
       (313*s[54])/22 + (5586403*s[55])/264 + (1090013*s[56])/198 - 
       (10700489*s[57])/2376 + (66709675*s[58])/7128 - 
       (67736521*s[59])/7128 - (243092569*s[60])/4752 + 
       (175982467*s[61])/64152 + s[68] - 3*s[70] - s[72] + s[73] + 
       (11*s[74])/4 - (11*s[75])/4 + 3*s[76] + (5*s[77])/2 - 2*s[78] - 
       52*s[79] + (91*s[80])/6 - 155*s[82] - s[83] - 26*s[84] - 40*s[85]) + 
     F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-15*s[2])/2 - (91*s[3])/4 - 355*s[4] - (24591*s[5])/88 - 
       (60179*s[6])/88 - (9682553*s[7])/1584 + (376865*s[8])/792 + 
       (92995*s[9])/18 + (118643*s[10])/72 + (3546343*s[11])/528 + 
       (482531*s[12])/66 + (6947575*s[13])/1584 + (450205*s[14])/528 + 
       (1173203*s[15])/144 + (1024096*s[16])/99 + (12735683*s[17])/1584 + 
       (122039*s[18])/108 + (199763*s[19])/216 + (29080343*s[20])/2376 + 
       (786619*s[21])/176 - (15264571*s[22])/4752 - (5418439*s[23])/792 - 
       (15938621*s[24])/2376 + (7574236*s[25])/891 - (16784821*s[26])/3564 - 
       (3*s[30])/2 - 3*s[31] - s[32]/2 - (15*s[33])/8 + (9*s[34])/2 + 
       3*s[35] + (37*s[36])/3 - (77*s[37])/6 - (357*s[38])/2 + 
       (2883*s[39])/4 - (9805*s[40])/12 + 645*s[41] - (6187*s[42])/6 - 
       (86879*s[43])/132 + (23030*s[44])/33 - (50591*s[45])/66 + 
       (260039*s[46])/44 - (42389*s[47])/198 - (59005*s[48])/396 + 
       (298978*s[49])/99 - (604133*s[50])/132 - (142111*s[51])/198 - 
       (223571*s[52])/396 + (277837*s[53])/88 - (483*s[54])/22 + 
       (663493*s[55])/33 + (1037551*s[56])/198 - (5700203*s[57])/1188 + 
       (16150349*s[58])/1782 - (8200504*s[59])/891 - (116036509*s[60])/2376 + 
       (165581051*s[61])/64152 + s[68] - 2*s[70] - 2*s[72] + 2*s[73] + 
       3*s[74] - 3*s[75] + 4*s[76] + 3*s[77] - 4*s[78] - 68*s[79] + 
       (55*s[80])/3 - 155*s[82] - s[83] - 26*s[84] - 40*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*
      ((-15*s[2])/2 - 27*s[3] - (2749*s[4])/8 - (27155*s[5])/88 - 
       (33745*s[6])/44 - (2589365*s[7])/396 + (289523*s[8])/594 + 
       (596315*s[9])/108 + (399065*s[10])/216 + (5650405*s[11])/792 + 
       (3043339*s[12])/396 + (1212611*s[13])/264 + (456881*s[14])/396 + 
       (52685*s[15])/6 + (122458*s[16])/11 + (7004927*s[17])/792 + 
       (100582*s[18])/81 + (314813*s[19])/324 + (47411567*s[20])/3564 + 
       (35071981*s[21])/7128 - (12200599*s[22])/3564 - (1794775*s[23])/264 - 
       (51632393*s[24])/7128 + (572881819*s[25])/64152 - 
       (324398263*s[26])/64152 + s[30]/2 - s[31] + s[32]/2 + (23*s[33])/8 - 
       (5*s[34])/2 + s[35]/2 + (23*s[36])/3 - (35*s[37])/12 - (189*s[38])/2 + 
       (3099*s[39])/8 - (10681*s[40])/24 + (2805*s[41])/8 - 
       (13217*s[42])/24 - (102671*s[43])/264 + (103481*s[44])/264 - 
       (131317*s[45])/264 + (79209*s[46])/22 - (34379*s[47])/396 - 
       (125353*s[48])/792 + (683321*s[49])/396 - (91522*s[50])/33 - 
       (300497*s[51])/792 - (122293*s[52])/396 + (511939*s[53])/264 - 
       (1587*s[54])/44 + (1096049*s[55])/88 + (1313197*s[56])/396 - 
       (5391707*s[57])/2376 + (38441455*s[58])/7128 - (38842657*s[59])/7128 - 
       (141924523*s[60])/4752 + (53043503*s[61])/32076 - s[70] - s[72] - 
       s[73] + (5*s[74])/4 - (5*s[75])/4 + s[76] + s[77]/2 - 32*s[79] + 
       (67*s[80])/6 - 154*s[82] - 24*s[84] - 40*s[85]) + 
     F1[w, u, v]*HPL[{0, 0, 1}, 1 - u]*((-57*s[2])/4 + (37*s[3])/8 - 
       (4259*s[4])/16 - (6273*s[5])/22 - (112181*s[6])/176 - 
       (5861267*s[7])/1056 + (1939063*s[8])/4752 + (511403*s[9])/108 + 
       (339101*s[10])/216 + (19083271*s[11])/3168 + (5103251*s[12])/792 + 
       (12104377*s[13])/3168 + (3377635*s[14])/3168 + (2158679*s[15])/288 + 
       (1874725*s[16])/198 + (24078433*s[17])/3168 + (353155*s[18])/324 + 
       (964535*s[19])/1296 + (162508187*s[20])/14256 + 
       (121882861*s[21])/28512 - (83567729*s[22])/28512 - (577765*s[23])/99 - 
       (42804413*s[24])/7128 + (957750803*s[25])/128304 - 
       (549766403*s[26])/128304 - 5*s[31] + (5*s[32])/2 - (11*s[33])/8 + 
       7*s[34] + (9*s[35])/2 + (56*s[36])/3 - (67*s[37])/4 - 155*s[38] + 
       (5575*s[39])/8 - (18709*s[40])/24 + (4931*s[41])/8 - 
       (24623*s[42])/24 - (155267*s[43])/264 + (172085*s[44])/264 - 
       (62237*s[45])/88 + (740077*s[46])/132 - (202567*s[47])/792 - 
       (19493*s[48])/396 + (2172913*s[49])/792 - (142324*s[50])/33 - 
       (140483*s[51])/198 - (219985*s[52])/396 + (2379973*s[53])/792 - 
       (12875*s[54])/132 + (207902*s[55])/11 + (4035001*s[56])/792 - 
       (12285829*s[57])/2376 + (7801093*s[58])/891 - (15682169*s[59])/1782 - 
       (53849953*s[60])/1188 + (160695071*s[61])/64152 + s[65] + 2*s[66] - 
       4*s[67] - 3*s[68] - 5*s[69] - 3*s[70] - s[71]/2 - 5*s[72] + s[73] + 
       (21*s[74])/4 - (21*s[75])/4 + 5*s[76] + (11*s[77])/2 - 9*s[78] - 
       62*s[79] + (33*s[80])/2 - 114*s[82] - 3*s[83] - 30*s[84] - 36*s[85]) + 
     F1[u, v, w]*HPL[{0, 0, 1}, 1 - w]*(-11*s[2] + (13*s[3])/2 - 
       (2141*s[4])/8 - (22675*s[5])/88 - (25479*s[6])/44 - (511396*s[7])/99 + 
       (241381*s[8])/594 + (475615*s[9])/108 + (305791*s[10])/216 + 
       (4435847*s[11])/792 + (1192333*s[12])/198 + (936811*s[13])/264 + 
       (356173*s[14])/396 + (83857*s[15])/12 + (386989*s[16])/44 + 
       (5555665*s[17])/792 + (82745*s[18])/81 + (216847*s[19])/324 + 
       (18775793*s[20])/1782 + (27971153*s[21])/7128 - (4855255*s[22])/1782 - 
       (1530569*s[23])/264 - (39182749*s[24])/7128 + (447923549*s[25])/
        64152 - (255122723*s[26])/64152 - (3*s[30])/2 - 5*s[31] + s[32] - 
       (31*s[33])/8 + (17*s[34])/2 + 5*s[35] + (35*s[36])/2 - 
       (167*s[37])/12 - (275*s[38])/2 + (5315*s[39])/8 - (5967*s[40])/8 + 
       (4745*s[41])/8 - (8005*s[42])/8 - (4199*s[43])/8 + (9759*s[44])/16 - 
       (14849*s[45])/24 + (61363*s[46])/12 - (4441*s[47])/16 + 
       (597*s[48])/16 + (39627*s[49])/16 - (7921*s[50])/2 - 
       (11215*s[51])/16 - (8539*s[52])/16 + (99347*s[53])/36 - 
       (1775*s[54])/12 + (829045*s[55])/48 + (676189*s[56])/144 - 
       (569035*s[57])/108 + (10554641*s[58])/1296 - (10619441*s[59])/1296 - 
       (11800145*s[60])/288 + (3351427*s[61])/1458 + s[65] + 2*s[66] - 
       4*s[67] - 3*s[68] - 5*s[69] - 2*s[70] - s[71] - 6*s[72] + 8*s[73] + 
       (11*s[74])/2 - (11*s[75])/2 + 2*s[76] + 6*s[77] - 10*s[78] - 
       72*s[79] + (163*s[80])/6 - 114*s[82] - 3*s[83] - 30*s[84] - 
       36*s[85]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*
      ((-15*s[2])/2 - 27*s[3] - (2323*s[4])/8 - (21677*s[5])/88 - 
       (28641*s[6])/44 - (4299445*s[7])/792 + (239693*s[8])/594 + 
       (123425*s[9])/27 + (336779*s[10])/216 + (583421*s[11])/99 + 
       (2499169*s[12])/396 + (496531*s[13])/132 + (799549*s[14])/792 + 
       (58787*s[15])/8 + (408817*s[16])/44 + (2959333*s[17])/396 + 
       (335887*s[18])/324 + (64646*s[19])/81 + (19769923*s[20])/1782 + 
       (3649397*s[21])/891 - (20220395*s[22])/7128 - (1481011*s[23])/264 - 
       (42772157*s[24])/7128 + (236158727*s[25])/32076 - 
       (134169377*s[26])/32076 + s[30]/2 - s[31] + s[32]/2 + (23*s[33])/8 - 
       (5*s[34])/2 + s[35] + (35*s[36])/3 + s[37] - 144*s[38] + 612*s[39] - 
       (2138*s[40])/3 + 577*s[41] - (2641*s[42])/3 - (20470*s[43])/33 + 
       (84313*s[44])/132 - (38249*s[45])/44 + (809953*s[46])/132 - 
       (24121*s[47])/198 - (55273*s[48])/198 + (556033*s[49])/198 - 
       (157969*s[50])/33 - (121223*s[51])/198 - (189007*s[52])/396 + 
       (332540*s[53])/99 - (446*s[54])/33 + (715427*s[55])/33 + 
       (570827*s[56])/99 - (1871479*s[57])/594 + (8010265*s[58])/891 - 
       (16231733*s[59])/1782 - (121570337*s[60])/2376 + 
       (46184327*s[61])/16038 - s[68] - 2*s[70] + s[71] - 2*s[72] - 2*s[73] + 
       (5*s[74])/2 - (5*s[75])/2 + 2*s[76] - s[77] - 64*s[79] + 13*s[80] - 
       122*s[82] + (3*s[83])/4 - (45*s[84])/2 - 34*s[85]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      ((13*s[2])/2 - (11*s[3])/4 + (283*s[4])/8 + (914*s[5])/11 + 
       (10913*s[6])/88 + (1934113*s[7])/1584 - (148069*s[8])/2376 - 
       (57599*s[9])/54 - (39503*s[10])/108 - (2159149*s[11])/1584 - 
       (289837*s[12])/198 - (474733*s[13])/528 - (381985*s[14])/1584 - 
       (25775*s[15])/16 - (543277*s[16])/264 - (2554451*s[17])/1584 - 
       (36805*s[18])/162 - (134591*s[19])/648 - (18034931*s[20])/7128 - 
       (14304019*s[21])/14256 + (9336911*s[22])/14256 + (275377*s[23])/264 + 
       (9982183*s[24])/7128 - (106028915*s[25])/64152 + 
       (62599973*s[26])/64152 - 2*s[30] + 2*s[31] - s[32] - s[33]/4 - 
       4*s[34] + s[35]/2 + (35*s[36])/12 + (23*s[37])/3 - (135*s[38])/4 + 
       (3577*s[39])/16 - (12743*s[40])/48 + (3635*s[41])/16 - 
       (16897*s[42])/48 - (104101*s[43])/528 + (244637*s[44])/1056 - 
       (67061*s[45])/264 + (1091033*s[46])/528 - (220291*s[47])/3168 - 
       (147493*s[48])/3168 + (2962513*s[49])/3168 - (54253*s[50])/33 - 
       (792185*s[51])/3168 - (541235*s[52])/3168 + (925709*s[53])/792 - 
       (5813*s[54])/66 + (7724639*s[55])/1056 + (691723*s[56])/352 - 
       (243343*s[57])/198 + (28642447*s[58])/9504 - (29069833*s[59])/9504 - 
       (320406391*s[60])/19008 + (9295901*s[61])/9504 - s[68] + s[70] - 
       3*s[72] - (5*s[73])/2 + (7*s[74])/4 - (7*s[75])/4 - (3*s[77])/2 - 
       s[78]/2 - 33*s[79] + (83*s[80])/6 - 122*s[82] + (3*s[83])/4 - 
       (45*s[84])/2 - 34*s[85]) + F1[v, w, u]*HPL[{0, 1, 1}, 1 - u]*
      (2*s[3] - (53*s[4])/2 - (1161*s[5])/44 - (2517*s[6])/44 - 
       (16880*s[7])/33 + (48547*s[8])/1188 + (47651*s[9])/108 + 
       (12775*s[10])/108 + (56861*s[11])/99 + (63793*s[12])/99 + 
       (39359*s[13])/99 + (12403*s[14])/198 + (22879*s[15])/36 + 
       (163477*s[16])/198 + (236447*s[17])/396 + (31117*s[18])/324 + 
       (10327*s[19])/162 + (1774771*s[20])/1782 + (1329137*s[21])/3564 - 
       (242536*s[22])/891 - (242323*s[23])/396 - (1966675*s[24])/3564 + 
       (46900831*s[25])/64152 - (26165947*s[26])/64152 + s[32] + s[36] - 
       (25*s[37])/6 - 26*s[38] + (345*s[39])/4 - (381*s[40])/4 + 
       (277*s[41])/4 - (473*s[42])/4 - (3479*s[43])/44 + (6713*s[44])/88 - 
       (9155*s[45])/132 + (18542*s[46])/33 - (8443*s[47])/264 - 
       (3097*s[48])/264 + (85609*s[49])/264 - (4462*s[50])/11 - 
       (7147*s[51])/88 - (19787*s[52])/264 + (53921*s[53])/198 - 
       (1543*s[54])/33 + (151779*s[55])/88 + (380341*s[56])/792 - 
       (474229*s[57])/594 + (6857693*s[58])/7128 - (6831233*s[59])/7128 - 
       (2411399*s[60])/528 + (7273477*s[61])/32076 + 4*s[73] - 8*s[79] + 
       (5*s[80])/3 - 62*s[82] - (3*s[83])/4 - (51*s[84])/2 - 28*s[85]) + 
     F1[v, w, u]*HPL[{0, 1, 1}, 1 - w]*((-11*s[2])/2 - (67*s[3])/2 - 
       (2455*s[4])/4 - (18515*s[5])/44 - (11823*s[6])/11 - 
       (7803437*s[7])/792 + (245084*s[8])/297 + (896473*s[9])/108 + 
       (272861*s[10])/108 + (8653841*s[11])/792 + (4790861*s[12])/396 + 
       (641317*s[13])/88 + (806693*s[14])/792 + (307427*s[15])/24 + 
       (543778*s[16])/33 + (9793921*s[17])/792 + (583349*s[18])/324 + 
       (479611*s[19])/324 + (34554809*s[20])/1782 + (49546619*s[21])/7128 - 
       (36917785*s[22])/7128 - (517795*s[23])/44 - (19088347*s[24])/1782 + 
       (898233365*s[25])/64152 - (485863409*s[26])/64152 + 2*s[29] - 
       2*s[30] - s[31] - s[32] + 4*s[33] + 3*s[34] + 4*s[35] + (37*s[36])/3 - 
       (45*s[37])/2 - 205*s[38] + (1571*s[39])/2 - (5237*s[40])/6 + 
       668*s[41] - (6739*s[42])/6 - (44245*s[43])/66 + (94493*s[44])/132 - 
       (7955*s[45])/11 + (191456*s[46])/33 - (27892*s[47])/99 - 
       (5485*s[48])/99 + (302917*s[49])/99 - (145544*s[50])/33 - 
       (77270*s[51])/99 - (253823*s[52])/396 + (297370*s[53])/99 - 
       (4435*s[54])/33 + (2502721*s[55])/132 + (498844*s[56])/99 - 
       (3634673*s[57])/594 + (33066215*s[58])/3564 - (33135209*s[59])/3564 - 
       (28043299*s[60])/594 + (79190567*s[61])/32076 + s[65]/2 + s[66] - 
       2*s[67] - 3*s[68] - s[69] - 4*s[70] + s[71]/2 - 4*s[72] + 2*s[73] + 
       (7*s[74])/2 - (7*s[75])/2 + 2*s[76] + 5*s[77] - 6*s[78] - 61*s[79] + 
       19*s[80] - 62*s[82] - (3*s[83])/4 - (51*s[84])/2 - 28*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*Phi6[u, v, w]*
      ((-7*s[2])/2 - 20*s[3] - 97*s[4] - (15703*s[5])/88 - (32129*s[6])/88 - 
       (260763*s[7])/88 + (410755*s[8])/2376 + (547895*s[9])/216 + 
       (200761*s[10])/216 + (2498933*s[11])/792 + (323138*s[12])/99 + 
       (1516673*s[13])/792 + (661805*s[14])/792 + (149843*s[15])/36 + 
       (1016711*s[16])/198 + (866333*s[17])/198 + (391273*s[18])/648 + 
       (137581*s[19])/324 + (5664301*s[20])/891 + (4401539*s[21])/1782 - 
       (11002771*s[22])/7128 - (1911397*s[23])/792 - (23806339*s[24])/7128 + 
       (487600981*s[25])/128304 - (299428189*s[26])/128304 + s[30] + 
       (3*s[32])/2 + (17*s[33])/4 - 2*s[34] - 2*s[35] + 11*s[36] + 
       (15*s[37])/4 - (145*s[38])/2 + (495*s[39])/2 - (573*s[40])/2 + 
       (911*s[41])/4 - (1315*s[42])/4 - (7089*s[43])/22 + (24353*s[44])/88 - 
       (46951*s[45])/88 + (284301*s[46])/88 + (1465*s[47])/264 - 
       (62951*s[48])/264 + (361157*s[49])/264 - (27428*s[50])/11 - 
       (57665*s[51])/264 - (51301*s[52])/264 + (158777*s[53])/88 + 
       (1633*s[54])/44 + (3144899*s[55])/264 + (816109*s[56])/264 - 
       (28580*s[57])/99 + (1318732*s[58])/297 - (10862831*s[59])/2376 - 
       (2715737*s[60])/99 + (68220079*s[61])/42768 + (3*s[71])/2 - 4*s[73] - 
       2*s[77] + 2*s[78] + 6*s[79] - (33*s[80])/2 - 88*s[82] + (9*s[83])/4 - 
       (39*s[84])/2 - 26*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      Phi6[u, v, w]*((-25*s[2])/4 + (117*s[3])/8 - (2349*s[4])/16 - 
       (1411*s[5])/8 - (5427*s[6])/16 - (950339*s[7])/288 + 
       (82417*s[8])/432 + (78361*s[9])/27 + (24869*s[10])/27 + 
       (1028341*s[11])/288 + (136777*s[12])/36 + (649607*s[13])/288 + 
       (192865*s[14])/288 + (1296599*s[15])/288 + (99893*s[16])/18 + 
       (141499*s[17])/32 + (100621*s[18])/162 + (573019*s[19])/1296 + 
       (8923253*s[20])/1296 + (6572227*s[21])/2592 - (4604411*s[22])/2592 - 
       (29315*s[23])/9 - (2356181*s[24])/648 + (51571049*s[25])/11664 - 
       (29438789*s[26])/11664 - 3*s[29] - s[30]/2 - 6*s[31] - s[32] - 
       5*s[33] + (17*s[34])/2 - (3*s[35])/2 + (23*s[36])/12 - 13*s[37] - 
       (199*s[38])/4 + (2973*s[39])/16 - (10883*s[40])/48 + (2951*s[41])/16 - 
       (12685*s[42])/48 - (112537*s[43])/528 + (205685*s[44])/1056 - 
       (25851*s[45])/88 + (1074877*s[46])/528 - (85099*s[47])/3168 - 
       (325141*s[48])/3168 + (2812489*s[49])/3168 - (52849*s[50])/33 - 
       (591977*s[51])/3168 - (465827*s[52])/3168 + (894265*s[53])/792 - 
       (3193*s[54])/66 + (7769119*s[55])/1056 + (6198235*s[56])/3168 - 
       (906089*s[57])/1188 + (82550669*s[58])/28512 - 
       (84184907*s[59])/28512 - (330247903*s[60])/19008 + 
       (237495695*s[61])/256608 - s[65] - 2*s[66] + 4*s[67] - s[68] + 
       8*s[69] + s[70] + s[71] + s[72] - (9*s[73])/2 - (5*s[74])/4 + 
       (5*s[75])/4 + 6*s[76] - (11*s[77])/2 + (3*s[78])/2 - 51*s[79] + 
       (17*s[80])/2 - 88*s[82] + (9*s[83])/4 - (39*s[84])/2 - 26*s[85]) + 
     F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      (-86*s[82] - (3*s[83])/4 - (27*s[84])/2 - 22*s[85]) + 
     F1[w, u, v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((-43*s[2])/4 - (87*s[3])/8 - (4683*s[4])/16 - (6565*s[5])/22 - 
       (116477*s[6])/176 - (6183643*s[7])/1056 + (225487*s[8])/528 + 
       (59765*s[9])/12 + (39509*s[10])/24 + (2254651*s[11])/352 + 
       (607581*s[12])/88 + (4340951*s[13])/1056 + (366959*s[14])/352 + 
       (754381*s[15])/96 + (2631455*s[16])/264 + (8338687*s[17])/1056 + 
       (10106*s[18])/9 + (123715*s[19])/144 + (18949471*s[20])/1584 + 
       (1568873*s[21])/352 - (9767693*s[22])/3168 - (1616557*s[23])/264 - 
       (2555185*s[24])/396 + (37912667*s[25])/4752 - (21542351*s[26])/4752 + 
       s[30] - 3*s[31] + s[32]/2 + (5*s[33])/8 + 3*s[34] + s[35] + 
       (19*s[36])/4 - (39*s[37])/4 - (375*s[38])/4 + (5529*s[39])/16 - 
       (6197*s[40])/16 + (4779*s[41])/16 - (7639*s[42])/16 - 
       (58615*s[43])/176 + (118829*s[44])/352 - (20291*s[45])/44 + 
       (566765*s[46])/176 - (93679*s[47])/1056 - (130309*s[48])/1056 + 
       (1601653*s[49])/1056 - (27164*s[50])/11 - (343289*s[51])/1056 - 
       (283007*s[52])/1056 + (227611*s[53])/132 + (239*s[54])/22 + 
       (3932935*s[55])/352 + (1054269*s[56])/352 - (555619*s[57])/264 + 
       (15410143*s[58])/3168 - (15533545*s[59])/3168 - 
       (169513615*s[60])/6336 + (14147371*s[61])/9504 - 2*s[70] + 
       (3*s[73])/2 + s[74] - s[75] + 3*s[76] + s[77] - (3*s[78])/2 - 
       27*s[79] + 7*s[80] - 86*s[82] - (3*s[83])/4 - (27*s[84])/2 - 
       22*s[85]) + F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      (-s[2]/2 - 4*s[3] + (111*s[4])/4 + (1483*s[5])/44 + (1489*s[6])/22 + 
       (156745*s[7])/264 - (9197*s[8])/198 - (18377*s[9])/36 - 
       (5329*s[10])/36 - (175381*s[11])/264 - (48503*s[12])/66 - 
       (39517*s[13])/88 - (21517*s[14])/264 - (18449*s[15])/24 - 
       (43243*s[16])/44 - (192689*s[17])/264 - (11461*s[18])/108 - 
       (9197*s[19])/108 - (1407173*s[20])/1188 - (1058977*s[21])/2376 + 
       (751211*s[22])/2376 + (6734*s[23])/11 + (398507*s[24])/594 - 
       (17943271*s[25])/21384 + (10160719*s[26])/21384 - 2*s[32] + 
       (5*s[37])/2 + 29*s[38] - (179*s[39])/2 + (189*s[40])/2 - 
       (139*s[41])/2 + 118*s[42] + (1831*s[43])/22 - (3503*s[44])/44 + 
       (978*s[45])/11 - (14681*s[46])/22 + (1173*s[47])/44 + (799*s[48])/44 - 
       (15949*s[49])/44 + (5373*s[50])/11 + (10391*s[51])/132 + 
       (3085*s[52])/44 - (11294*s[53])/33 + (271*s[54])/11 - 
       (290779*s[55])/132 - (76069*s[56])/132 + (61228*s[57])/99 - 
       (1255121*s[58])/1188 + (1282067*s[59])/1188 + (484465*s[60])/88 - 
       (2996687*s[61])/10692 - s[68] - s[69] + 2*s[73] - s[77] - 80*s[82] + 
       (3*s[83])/4 - (21*s[84])/2 - 22*s[85]) + F1[w, u, v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*((-15*s[2])/4 - (135*s[3])/8 - (1671*s[4])/16 - 
       (1286*s[5])/11 - (51049*s[6])/176 - (7537861*s[7])/3168 + 
       (735299*s[8])/4752 + (217081*s[9])/108 + (160369*s[10])/216 + 
       (8146847*s[11])/3168 + (2148847*s[12])/792 + (5074033*s[13])/3168 + 
       (1828763*s[14])/3168 + (935891*s[15])/288 + (3246931*s[16])/792 + 
       (3575291*s[17])/1056 + (37220*s[18])/81 + (489895*s[19])/1296 + 
       (71268787*s[20])/14256 + (52987157*s[21])/28512 - 
       (35293729*s[22])/28512 - (1646471*s[23])/792 - (9646163*s[24])/3564 + 
       (404204905*s[25])/128304 - (234857917*s[26])/128304 + s[31] - 
       s[32]/2 + (25*s[33])/8 - 5*s[34] - 2*s[35] - (67*s[36])/12 + 
       (21*s[37])/4 - (47*s[38])/4 + (961*s[39])/16 - (3575*s[40])/48 + 
       (1035*s[41])/16 - (3877*s[42])/48 - (43741*s[43])/528 + 
       (82703*s[44])/1056 - (6741*s[45])/44 + (502135*s[46])/528 + 
       (17051*s[47])/3168 - (307735*s[48])/3168 + (1197655*s[49])/3168 - 
       (24433*s[50])/33 - (197699*s[51])/3168 - (126581*s[52])/3168 + 
       (104821*s[53])/198 + (947*s[54])/66 + (3666221*s[55])/1056 + 
       (2967133*s[56])/3168 + (124661*s[57])/2376 + (35364383*s[58])/28512 - 
       (34959689*s[59])/28512 - (152383621*s[60])/19008 + 
       (129159449*s[61])/256608 - 2*s[68] - 2*s[70] - s[73]/2 - s[76] - 
       s[77] + (5*s[78])/2 - 5*s[79] + 5*s[80] - 80*s[82] + (3*s[83])/4 - 
       (21*s[84])/2 - 22*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      Phi6[u, v, w]*(10*s[2] - (11*s[3])/2 - 25*s[4] + (653*s[5])/11 + 
       (5205*s[6])/44 + (21334*s[7])/33 - (2452*s[8])/297 - 
       (60047*s[9])/108 - (29215*s[10])/108 - (543373*s[11])/792 - 
       (508421*s[12])/792 - (164831*s[13])/396 - (140117*s[14])/396 - 
       (32629*s[15])/36 - (446489*s[16])/396 - (876949*s[17])/792 - 
       (12283*s[18])/81 - (6935*s[19])/81 - (2619949*s[20])/1782 - 
       (628178*s[21])/891 + (1176385*s[22])/3564 + (29549*s[23])/792 + 
       (5759597*s[24])/7128 - (22684217*s[25])/32076 + 
       (18157307*s[26])/32076 - 3*s[30] + 2*s[31] - s[32] - (15*s[33])/4 + 
       s[34] + s[35] - (20*s[36])/3 + (17*s[37])/6 + 11*s[38] - 
       (55*s[39])/4 + (173*s[40])/12 + (7*s[41])/4 - (71*s[42])/12 + 
       (11419*s[43])/132 - (6029*s[44])/264 + (11983*s[45])/132 - 
       (31519*s[46])/66 - (30281*s[47])/792 + (90565*s[48])/792 - 
       (158065*s[49])/792 + (20747*s[50])/66 - (12763*s[51])/792 + 
       (27239*s[52])/792 - (24313*s[53])/99 - (293*s[54])/33 - 
       (435263*s[55])/264 - (42959*s[56])/88 - (21719*s[57])/198 - 
       (1629163*s[58])/2376 + (1616413*s[59])/2376 + (19575601*s[60])/4752 - 
       (1835659*s[61])/7128 + 2*s[70] + s[71] - 2*s[72] - 2*s[73] + 
       (3*s[74])/2 - (3*s[75])/2 - 2*s[76] + s[77] - 2*s[78] - 16*s[79] - 
       (13*s[80])/3 - 98*s[82] - 16*s[84] - 16*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*Phi6[u, v, w]*
      ((-31*s[2])/4 - (307*s[3])/8 - (7031*s[4])/16 - (8809*s[5])/22 - 
       (171653*s[6])/176 - (8893955*s[7])/1056 + (2969839*s[8])/4752 + 
       (769229*s[9])/108 + (517295*s[10])/216 + (28957879*s[11])/3168 + 
       (1942547*s[12])/198 + (18410917*s[13])/3168 + (4945855*s[14])/3168 + 
       (3285527*s[15])/288 + (11404465*s[16])/792 + (36484705*s[17])/3168 + 
       (130786*s[18])/81 + (1593503*s[19])/1296 + (246125579*s[20])/14256 + 
       (181125673*s[21])/28512 - (125781269*s[22])/28512 - 
       (868453*s[23])/99 - (66334475*s[24])/7128 + (1466601977*s[25])/
        128304 - (831951821*s[26])/128304 - s[31] + s[32] + (13*s[33])/8 - 
       2*s[34] + (25*s[36])/12 + (5*s[37])/12 - (421*s[38])/4 + 
       (7293*s[39])/16 - (25387*s[40])/48 + (6851*s[41])/16 - 
       (31805*s[42])/48 - (228953*s[43])/528 + (495043*s[44])/1056 - 
       (83533*s[45])/132 + (787513*s[46])/176 - (347345*s[47])/3168 - 
       (531419*s[48])/3168 + (6453419*s[49])/3168 - (460817*s[50])/132 - 
       (1456975*s[51])/3168 - (1087633*s[52])/3168 + (53997*s[53])/22 - 
       (2789*s[54])/44 + (16732129*s[55])/1056 + (13362313*s[56])/3168 - 
       (5671945*s[57])/2376 + (186843611*s[58])/28512 - 
       (189478829*s[59])/28512 - (706622465*s[60])/19008 + 
       (540701009*s[61])/256608 + s[71] - 2*s[72] - (5*s[73])/2 + 2*s[74] - 
       2*s[75] + s[76] - s[78]/2 - 47*s[79] + (22*s[80])/3 - 98*s[82] - 
       16*s[84] - 16*s[85]) + HPL[{0, 1, 1, 1}, 1 - u]*Phi6[u, v, w]*
      ((2*s[21])/3 - (2*s[26])/3 - 93*s[82] - 12*s[85]) + 
     HPL[{0, 1, 1, 1}, 1 - w]*Phi6[u, v, w]*((-9*s[2])/2 - 30*s[3] - 
       (141*s[4])/2 - (1167*s[5])/22 - (8495*s[6])/44 - (17498*s[7])/11 + 
       (36485*s[8])/396 + (11881*s[9])/9 + (19895*s[10])/36 + 
       (464555*s[11])/264 + (493081*s[12])/264 + (37735*s[13])/33 + 
       (11521*s[14])/33 + 2179*s[15] + (372817*s[16])/132 + 
       (615569*s[17])/264 + (5714*s[18])/27 + (10807*s[19])/27 + 
       (3925165*s[20])/1188 + (1353673*s[21])/1188 - (491923*s[22])/594 - 
       (227905*s[23])/264 - (4821535*s[24])/2376 + (47333435*s[25])/21384 - 
       (25665467*s[26])/21384 + (3*s[32])/2 + 6*s[37] - (47*s[38])/2 + 
       (307*s[39])/4 - (379*s[40])/4 + (153*s[41])/2 - 96*s[42] - 
       (4945*s[43])/44 + (9785*s[44])/88 - (2685*s[45])/22 + 
       (39043*s[46])/44 + (1659*s[47])/44 - (3257*s[48])/22 + 
       (23909*s[49])/44 - (15901*s[50])/22 - (7625*s[51])/132 - 
       (3669*s[52])/88 + (16012*s[53])/33 + (3677*s[54])/44 + 
       (138447*s[55])/44 + (90011*s[56])/132 + (84583*s[57])/396 + 
       (1262707*s[58])/1188 - (669167*s[59])/594 - (2132461*s[60])/264 + 
       (7843373*s[61])/21384 + 3*s[68] - 3*s[69] + 3*s[77] - 93*s[82] - 
       12*s[85]) + F1[u, v, w]*HPL[{0, 0, 1}, 1 - v]*
      ((-11*s[2])/2 + (23*s[3])/4 - (59*s[4])/8 - (13353*s[5])/88 - 
       (10221*s[6])/44 - (2986883*s[7])/1584 + (5672*s[8])/99 + 
       (121883*s[9])/72 + (44479*s[10])/72 + (352775*s[11])/176 + 
       (536617*s[12])/264 + (1886011*s[13])/1584 + (127745*s[14])/176 + 
       (374159*s[15])/144 + (318568*s[16])/99 + (4398419*s[17])/1584 + 
       (10403*s[18])/24 + (14827*s[19])/72 + (372121*s[20])/88 + 
       (8252231*s[21])/4752 - (4789097*s[22])/4752 - (450017*s[23])/396 - 
       (2516123*s[24])/1188 + (98150951*s[25])/42768 - 
       (65084771*s[26])/42768 - 2*s[31] + (3*s[32])/2 + (31*s[33])/4 + 
       s[34] - 3*s[35] + (2*s[36])/3 - (29*s[37])/6 - 55*s[38] + 142*s[39] - 
       (497*s[40])/3 + (245*s[41])/2 - (995*s[42])/6 - (7087*s[43])/33 + 
       (42593*s[44])/264 - (48613*s[45])/132 + (276251*s[46])/132 + 
       (9943*s[47])/396 - (83249*s[48])/396 + (342125*s[49])/396 - 
       (206527*s[50])/132 - (41881*s[51])/396 - (92777*s[52])/792 + 
       (443587*s[53])/396 - (895*s[54])/33 + (248221*s[55])/33 + 
       (268681*s[56])/132 - (2535*s[57])/44 + (3393625*s[58])/1188 - 
       (3397051*s[59])/1188 - (21305155*s[60])/1188 + 
       (22127317*s[61])/21384 - s[65]/2 - s[66] + 2*s[67] - 2*s[68] + 
       4*s[69] - s[70] + (3*s[71])/2 + 2*s[72] - 6*s[73] - (3*s[74])/2 + 
       (3*s[75])/2 + 2*s[76] - 4*s[77] + 4*s[78] + 4*s[79] - (32*s[80])/3 - 
       54*s[82] + (3*s[83])/2 - 9*s[84] - 12*s[85]) + 
     F1[w, u, v]*HPL[{0, 0, 1}, 1 - v]*(3*s[2] - (25*s[3])/4 - 
       (1267*s[4])/8 - (9419*s[5])/88 - (12391*s[6])/44 - 
       (3961711*s[7])/1584 + (20516*s[8])/99 + (152825*s[9])/72 + 
       (46051*s[10])/72 + (1431011*s[11])/528 + (194059*s[12])/66 + 
       (2775095*s[13])/1584 + (184463*s[14])/528 + (492271*s[15])/144 + 
       (1677239*s[16])/396 + (5266813*s[17])/1584 + (97991*s[18])/216 + 
       (74425*s[19])/216 + (11925037*s[20])/2376 + (952003*s[21])/528 - 
       (6250493*s[22])/4752 - (2368511*s[23])/792 - (6405853*s[24])/2376 + 
       (49408901*s[25])/14256 - (27374849*s[26])/14256 - s[32]/2 - 
       (15*s[33])/4 + s[34] - s[35] + (41*s[36])/6 - (13*s[37])/2 - 
       (125*s[38])/2 + (2415*s[39])/8 - (8561*s[40])/24 + (2289*s[41])/8 - 
       (10915*s[42])/24 - (77755*s[43])/264 + (160475*s[44])/528 - 
       (3985*s[45])/11 + (724417*s[46])/264 - (132421*s[47])/1584 - 
       (113875*s[48])/1584 + (2013559*s[49])/1584 - (70289*s[50])/33 - 
       (492647*s[51])/1584 - (384053*s[52])/1584 + (1202417*s[53])/792 - 
       (15511*s[54])/132 + (5134333*s[55])/528 + (4147021*s[56])/1584 - 
       (2247745*s[57])/1188 + (59126411*s[58])/14256 - 
       (60717881*s[59])/14256 - (214988737*s[60])/9504 + 
       (161805575*s[61])/128304 + 2*s[70] - 2*s[72] - 2*s[73] + s[74]/2 - 
       s[75]/2 - s[77] - s[78] - 48*s[79] + 13*s[80] - 54*s[82] + 
       (3*s[83])/2 - 9*s[84] - 12*s[85]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*Phi6[u, v, w]*(14*s[3] + (21*s[4])/4 - 
       (317*s[5])/44 + (183*s[6])/22 - (54995*s[7])/264 - (1105*s[8])/99 + 
       (7069*s[9])/36 + (4667*s[10])/36 + (65381*s[11])/264 + 
       (33437*s[12])/132 + (13755*s[13])/88 + (12959*s[14])/264 + 
       (6955*s[15])/24 + (17107*s[16])/44 + (83041*s[17])/264 - 
       (1717*s[18])/108 + (14287*s[19])/108 + (553705*s[20])/1188 + 
       (340655*s[21])/2376 - (300541*s[22])/2376 + (12389*s[23])/44 - 
       (471029*s[24])/1188 + (6286571*s[25])/21384 - (2953871*s[26])/21384 + 
       s[32] + (19*s[37])/2 - 23*s[38] + 55*s[39] - 62*s[40] + 
       (121*s[41])/2 - 47*s[42] - (1160*s[43])/11 + (1130*s[44])/11 - 
       (2097*s[45])/22 + (16151*s[46])/22 + (9187*s[47])/132 - 
       (23681*s[48])/132 + (77093*s[49])/132 - (7292*s[50])/11 - 
       (639*s[51])/44 + (601*s[52])/66 + (4596*s[53])/11 + (5439*s[54])/22 + 
       (358709*s[55])/132 + (48991*s[56])/132 + (85103*s[57])/99 + 
       (743609*s[58])/1188 - (924419*s[59])/1188 - (5958149*s[60])/792 + 
       (2470877*s[61])/10692 + 2*s[68] - 2*s[69] + 2*s[77] - 118*s[82] - 
       8*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*Phi6[u, v, w]*
      (11*s[3] - 14*s[4] - (1101*s[5])/44 + (631*s[6])/44 - 
       (58931*s[7])/132 + (12473*s[8])/396 + (13963*s[9])/36 + 
       (6989*s[10])/36 + (15724*s[11])/33 + (63389*s[12])/132 + 
       (33725*s[13])/132 + (4771*s[14])/132 + (1469*s[15])/2 + 
       (56467*s[16])/66 + (32767*s[17])/44 + (1637*s[18])/108 + 
       (4927*s[19])/27 + (289105*s[20])/297 + (94537*s[21])/297 - 
       (294869*s[22])/1188 - (12281*s[23])/66 - (398635*s[24])/594 + 
       (12816191*s[25])/21384 - (6416615*s[26])/21384 + 2*s[30] + 2*s[36] + 
       (65*s[37])/6 + s[38] + 23*s[39] - 34*s[40] + (81*s[41])/2 - 31*s[42] - 
       (573*s[43])/11 + (820*s[44])/11 - (2003*s[45])/33 + (16139*s[46])/33 + 
       (2239*s[47])/44 - (4229*s[48])/44 + (15943*s[49])/44 - 
       (11169*s[50])/22 - (203*s[51])/132 + (835*s[52])/22 + 
       (34642*s[53])/99 + (15931*s[54])/66 + (300577*s[55])/132 + 
       (119027*s[56])/396 + (254707*s[57])/297 + (1256245*s[58])/3564 - 
       (1984273*s[59])/3564 - (4129369*s[60])/792 + (1495612*s[61])/8019 + 
       2*s[68] - 2*s[69] - s[71] - 4*s[76] + 2*s[77] + 2*s[78] - 4*s[79] + 
       (14*s[80])/3 - 118*s[82] - 8*s[85]) + F1[u, v, w]*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*(4*s[3] + (25*s[4])/2 - (21*s[5])/2 - 8*s[7] - 
       (23*s[8])/2 + (85*s[9])/4 + 12*s[10] + (3*s[11])/2 - 16*s[12] - 
       21*s[13] + (225*s[14])/4 + (45*s[15])/2 + 19*s[16] + 57*s[17] + 
       10*s[18] - 6*s[19] + (305*s[20])/4 + (170*s[21])/3 - (89*s[22])/12 + 
       (355*s[23])/4 - (44*s[24])/3 - (3625*s[25])/108 - (1631*s[26])/108 + 
       (3*s[33])/4 - s[37] - (21*s[39])/2 + (25*s[40])/2 - (25*s[41])/2 + 
       19*s[42] + (9*s[43])/2 - (21*s[44])/2 - (21*s[45])/2 + 7*s[47] - 
       (3*s[48])/2 - 31*s[49] + 8*s[50] + (33*s[51])/2 + 8*s[52] + 
       (187*s[55])/4 + 31*s[56] + (505*s[57])/4 - (245*s[58])/12 + 
       (287*s[59])/12 - (245*s[60])/6 + (1481*s[61])/108 - s[74]/2 + 
       s[75]/2 - (63*s[82])/2 - 4*s[84] - 8*s[85]) + 
     F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      ((-29*s[2])/8 - (85*s[3])/16 - (3957*s[4])/32 - (5443*s[5])/44 - 
       (95027*s[6])/352 - (5235245*s[7])/2112 + (1737377*s[8])/9504 + 
       (113695*s[9])/54 + (308059*s[10])/432 + (17113805*s[11])/6336 + 
       (4592959*s[12])/1584 + (10862651*s[13])/6336 + (2824241*s[14])/6336 + 
       (1937713*s[15])/576 + (6712613*s[16])/1584 + (21489923*s[17])/6336 + 
       (36919*s[18])/81 + (1021645*s[19])/2592 + (145019893*s[20])/28512 + 
       (106908167*s[21])/57024 - (74310619*s[22])/57024 - 
       (3931237*s[23])/1584 - (4957697*s[24])/1782 + (864204775*s[25])/
        256608 - (488521195*s[26])/256608 + s[30]/2 - s[31]/2 - s[32]/4 + 
       (21*s[33])/16 - s[34]/2 + s[35]/2 + (9*s[36])/8 - (65*s[37])/24 - 
       (305*s[38])/8 + (4559*s[39])/32 - (5123*s[40])/32 + (4021*s[41])/32 - 
       (6321*s[42])/32 - (49969*s[43])/352 + (99755*s[44])/704 - 
       (51083*s[45])/264 + (1437857*s[46])/1056 - (24355*s[47])/704 - 
       (37137*s[48])/704 + (454721*s[49])/704 - (11646*s[50])/11 - 
       (282239*s[51])/2112 - (75555*s[52])/704 + (73448*s[53])/99 + 
       (523*s[54])/33 + (10103771*s[55])/2112 + (7881475*s[56])/6336 - 
       (3413227*s[57])/4752 + (114075113*s[58])/57024 - 
       (115992383*s[59])/57024 - (144877289*s[60])/12672 + 
       (320017535*s[61])/513216 - s[70] + s[73]/4 + s[74]/4 - s[75]/4 + 
       s[76]/2 + s[77]/2 + s[78]/4 - (23*s[79])/2 + (23*s[80])/6 - 
       (63*s[82])/2 - 4*s[84] - 8*s[85]) + F1[w, u, v]*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*(-24*s[82] - 4*s[85]) + F1[u, v, w]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*((-3*s[2])/2 - 16*s[3] - (55*s[4])/2 - 
       (87*s[5])/22 - (2307*s[6])/44 - (47039*s[7])/132 + (8351*s[8])/396 + 
       (4997*s[9])/18 + (4469*s[10])/36 + (104453*s[11])/264 + 
       (109609*s[12])/264 + (34883*s[13])/132 + (8179*s[14])/132 + 
       (6065*s[15])/12 + (86411*s[16])/132 + (49673*s[17])/88 + 
       (1363*s[18])/54 + (3271*s[19])/27 + (834139*s[20])/1188 + 
       (125003*s[21])/594 - (210413*s[22])/1188 - (46325*s[23])/264 - 
       (1162135*s[24])/2376 + (11184167*s[25])/21384 - 
       (5401811*s[26])/21384 + s[32]/2 + (9*s[37])/2 - (7*s[38])/2 + 
       (91*s[39])/4 - (127*s[40])/4 + (59*s[41])/2 - (65*s[42])/2 - 
       (1677*s[43])/44 + (3459*s[44])/88 - (439*s[45])/22 + (9071*s[46])/44 + 
       (839*s[47])/66 - (6077*s[48])/132 + (11563*s[49])/66 - 
       (3811*s[50])/22 - (469*s[51])/22 - (1973*s[52])/264 + 
       (3986*s[53])/33 + (1119*s[54])/44 + (23498*s[55])/33 + 
       (7327*s[56])/66 + (44953*s[57])/396 + (59206*s[58])/297 - 
       (289897*s[59])/1188 - (376367*s[60])/198 + (1287023*s[61])/21384 + 
       s[68] - s[69] + s[77] - 24*s[82] - 4*s[85]) + 
     F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*((-7*s[2])/2 - 6*s[3] - 
       (59*s[4])/2 - (554*s[5])/11 - (644*s[6])/11 - (72505*s[7])/99 + 
       (34021*s[8])/594 + (16756*s[9])/27 + (6374*s[10])/27 + 
       (613817*s[11])/792 + (313649*s[12])/396 + (115127*s[13])/264 + 
       (104135*s[14])/792 + (13271*s[15])/12 + (349627*s[16])/264 + 
       (916549*s[17])/792 + (10808*s[18])/81 + (45649*s[19])/324 + 
       (5518957*s[20])/3564 + (4165829*s[21])/7128 - (2730565*s[22])/7128 - 
       (191863*s[23])/264 - (5913025*s[24])/7128 + (60873671*s[25])/64152 - 
       (35161913*s[26])/64152 - s[30] - 2*s[31] + s[32]/2 - 2*s[33] + 
       4*s[34] + s[35] + (41*s[36])/6 + s[37] - 12*s[38] + (587*s[39])/8 - 
       (1685*s[40])/24 + (439*s[41])/8 - (2653*s[42])/24 - 
       (11287*s[43])/264 + (34475*s[44])/528 - (2417*s[45])/44 + 
       (131887*s[46])/264 - (59281*s[47])/1584 + (54305*s[48])/1584 + 
       (443251*s[49])/1584 - (54407*s[50])/132 - (98447*s[51])/1584 - 
       (59645*s[52])/1584 + (241055*s[53])/792 + (4099*s[54])/66 + 
       (316431*s[55])/176 + (627289*s[56])/1584 - (240755*s[57])/594 + 
       (10659299*s[58])/14256 - (11735393*s[59])/14256 - 
       (37909609*s[60])/9504 + (28232609*s[61])/128304 + s[65]/2 + s[66] - 
       2*s[67] - 2*s[68] - 3*s[69] - s[70] - s[71] - 2*s[72] + 4*s[73] + 
       (3*s[74])/2 - (3*s[75])/2 - s[76] + 3*s[77] - 4*s[78] + 10*s[79] - 
       s[80] - 60*s[82] - (3*s[83])/2 - 3*s[84] - 4*s[85]) + 
     F1[u, v, w]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*(-5*s[2] - (29*s[3])/2 - 
       (271*s[4])/4 - (1745*s[5])/44 - (5307*s[6])/44 - (98685*s[7])/88 + 
       (89893*s[8])/1188 + (100427*s[9])/108 + (19865*s[10])/54 + 
       (966277*s[11])/792 + (1014065*s[12])/792 + (304547*s[13])/396 + 
       (66773*s[14])/396 + (114815*s[15])/72 + (1576735*s[16])/792 + 
       (1316371*s[17])/792 + (12808*s[18])/81 + (21485*s[19])/81 + 
       (8072393*s[20])/3564 + (2782691*s[21])/3564 - (1041803*s[22])/1782 - 
       (184289*s[23])/198 - (1200988*s[24])/891 + (99745951*s[25])/64152 - 
       (53009257*s[26])/64152 - s[30] - 2*s[31] + (3*s[32])/2 - 2*s[33] + 
       4*s[34] + s[35] + (13*s[36])/2 + (9*s[37])/4 - 22*s[38] + 
       (861*s[39])/8 - (937*s[40])/8 + (805*s[41])/8 - (1233*s[42])/8 - 
       (8603*s[43])/88 + (20923*s[44])/176 - (7979*s[45])/88 + 
       (37613*s[46])/44 - (5975*s[47])/528 - (23597*s[48])/528 + 
       (282101*s[49])/528 - (31527*s[50])/44 - (16455*s[51])/176 - 
       (30517*s[52])/528 + (63971*s[53])/132 + (2207*s[54])/22 + 
       (1563409*s[55])/528 + (331763*s[56])/528 - (133811*s[57])/396 + 
       (5409571*s[58])/4752 - (5863351*s[59])/4752 - (23418869*s[60])/3168 + 
       (875626*s[61])/2673 + s[65]/2 + s[66] - 2*s[67] - s[68] - 4*s[69] - 
       s[70] - s[71]/2 - 2*s[72] + 2*s[73] + (3*s[74])/2 - (3*s[75])/2 + 
       s[76] + 4*s[77] - 4*s[78] - 8*s[79] + (5*s[80])/2 - 60*s[82] - 
       (3*s[83])/2 - 3*s[84] - 4*s[85]) + F1[u, v, w]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*(-5*s[2] - (41*s[3])/2 - (125*s[4])/2 - 
       (614*s[5])/11 - (6137*s[6])/44 - (150569*s[7])/132 + 
       (102313*s[8])/1188 + (25478*s[9])/27 + (37543*s[10])/108 + 
       (482783*s[11])/396 + (1002545*s[12])/792 + (593773*s[13])/792 + 
       (174703*s[14])/792 + (29627*s[15])/18 + (1599709*s[16])/792 + 
       (171911*s[17])/99 + (16111*s[18])/81 + (68759*s[19])/324 + 
       (4152103*s[20])/1782 + (6090091*s[21])/7128 - (4155953*s[22])/7128 - 
       (427759*s[23])/396 - (1148284*s[24])/891 + (12248348*s[25])/8019 - 
       (27705935*s[26])/32076 - s[30] - 2*s[31] + s[32] - 2*s[33] + 4*s[34] + 
       s[35] + (13*s[36])/2 + (13*s[37])/4 - 20*s[38] + (897*s[39])/8 - 
       (973*s[40])/8 + (817*s[41])/8 - (1373*s[42])/8 - (8247*s[43])/88 + 
       (19071*s[44])/176 - (7831*s[45])/88 + (35925*s[46])/44 - 
       (19475*s[47])/528 + (127*s[48])/528 + (244985*s[49])/528 - 
       (28443*s[50])/44 - (58793*s[51])/528 - (39745*s[52])/528 + 
       (20905*s[53])/44 + (23*s[54])/22 + (500103*s[55])/176 + 
       (351199*s[56])/528 - (108059*s[57])/198 + (5588687*s[58])/4752 - 
       (6006179*s[59])/4752 - (20639825*s[60])/3168 + (3694313*s[61])/10692 + 
       s[65]/2 + s[66] - 2*s[67] - s[68] - 4*s[69] - s[70] - s[71]/2 - 
       2*s[72] + 4*s[73] + (3*s[74])/2 - (3*s[75])/2 - s[76] + 4*s[77] - 
       4*s[78] + 4*s[79] + s[80]/2 - 24*s[82] - (3*s[83])/2 - 3*s[84] - 
       4*s[85]) + F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      ((-7*s[2])/2 - (9*s[3])/2 - (85*s[4])/2 - (301*s[5])/11 - 
       (1563*s[6])/22 - (28075*s[7])/44 + (16180*s[8])/297 + 
       (28915*s[9])/54 + (4672*s[10])/27 + (546013*s[11])/792 + 
       (290659*s[12])/396 + (348373*s[13])/792 + (57055*s[14])/792 + 
       (7978*s[15])/9 + (868723*s[16])/792 + (702049*s[17])/792 + 
       (39613*s[18])/324 + (29087*s[19])/324 + (4489313*s[20])/3564 + 
       (3281605*s[21])/7128 - (2388839*s[22])/7128 - (634241*s[23])/792 - 
       (4702607*s[24])/7128 + (56332453*s[25])/64152 - 
       (30945415*s[26])/64152 - s[30] - 2*s[31] + s[32] - 2*s[33] + 4*s[34] + 
       s[35] + (13*s[36])/2 - (9*s[37])/4 - (29*s[38])/2 + (727*s[39])/8 - 
       (779*s[40])/8 + (641*s[41])/8 - (1149*s[42])/8 - (5201*s[43])/88 + 
       (13957*s[44])/176 - (4359*s[45])/88 + (12261*s[46])/22 - 
       (8333*s[47])/176 + (6341*s[48])/176 + (54039*s[49])/176 - 
       (19545*s[50])/44 - (51365*s[51])/528 - (11977*s[52])/176 + 
       (41315*s[53])/132 - (237*s[54])/44 + (321379*s[55])/176 + 
       (247219*s[56])/528 - (76210*s[57])/99 + (4316363*s[58])/4752 - 
       (4469291*s[59])/4752 - (1515845*s[60])/352 + (4851541*s[61])/21384 + 
       s[65]/2 + s[66] - 2*s[67] - 2*s[68] - 3*s[69] - s[70] - s[71]/2 - 
       2*s[72] + 2*s[73] + (3*s[74])/2 - (3*s[75])/2 + s[76] + 3*s[77] - 
       4*s[78] - 8*s[79] + (5*s[80])/2 - 24*s[82] - (3*s[83])/2 - 3*s[84] - 
       4*s[85]) + F1[v, w, u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      (2*s[2] - (9*s[3])/4 + (575*s[4])/8 + (1219*s[5])/44 + (8101*s[6])/88 + 
       (149373*s[7])/176 - (250625*s[8])/2376 - (76523*s[9])/108 - 
       (12577*s[10])/108 - (1551125*s[11])/1584 - (934883*s[12])/792 - 
       (1150481*s[13])/1584 + (138385*s[14])/1584 - (134515*s[15])/144 - 
       (255451*s[16])/198 - (1182347*s[17])/1584 - (14275*s[18])/81 - 
       (33109*s[19])/648 - (10497475*s[20])/7128 - (7177685*s[21])/14256 + 
       (6389245*s[22])/14256 + (1265573*s[23])/792 + (5374511*s[24])/7128 - 
       (42718007*s[25])/32076 + (21320795*s[26])/32076 - 2*s[29] + s[30] + 
       2*s[31] - s[32]/2 + (5*s[33])/4 - 6*s[34] - s[35] - (3*s[36])/2 + 
       (109*s[37])/12 + (33*s[38])/2 - (569*s[39])/8 + (541*s[40])/8 - 
       (343*s[41])/8 + (875*s[42])/8 + (2399*s[43])/88 - (5567*s[44])/176 + 
       (3059*s[45])/264 - (7780*s[46])/33 + (11921*s[47])/176 - 
       (13093*s[48])/176 - (16755*s[49])/176 + (2415*s[50])/22 + 
       (41093*s[51])/528 + (13971*s[52])/176 - (58831*s[53])/792 + 
       (4637*s[54])/33 - (62407*s[55])/176 - (416293*s[56])/1584 + 
       (1450591*s[57])/1188 - (9327269*s[58])/14256 + (7925321*s[59])/14256 + 
       (3608969*s[60])/3168 - (6600283*s[61])/64152 - s[65]/2 - s[66] + 
       2*s[67] + 3*s[68] + 2*s[69] - 2*s[70] + 2*s[72] - 4*s[73] - s[74] + 
       s[75] - 2*s[76] + 4*s[77] + 3*s[78] + 2*s[79] + (7*s[80])/6 - 
       50*s[82] + s[83]/2 + s[84] - 4*s[85]) + F1[v, w, u]*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*(5*s[2] - (15*s[3])/2 - (193*s[4])/4 + 
       (2025*s[5])/44 + (647*s[6])/22 + (31549*s[7])/396 + (11149*s[8])/198 - 
       (1145*s[9])/9 - (2923*s[10])/36 - (645*s[11])/22 + (12071*s[12])/132 + 
       (31177*s[13])/396 - (3407*s[14])/11 - (8407*s[15])/36 - 
       (67883*s[16])/396 - (74615*s[17])/198 - (2651*s[18])/36 + 
       (445*s[19])/9 - (44386*s[20])/99 - (353431*s[21])/1188 + 
       (29597*s[22])/594 - (149339*s[23])/396 + (85735*s[24])/1188 + 
       (336491*s[25])/2673 + (264511*s[26])/2673 + 2*s[29] - 2*s[30] + 
       4*s[31] - s[32]/2 + (15*s[33])/4 - 5*s[34] + s[35] + (5*s[36])/3 + 
       (35*s[37])/12 - 13*s[38] + (349*s[39])/4 - (1103*s[40])/12 + 
       (303*s[41])/4 - (1657*s[42])/12 - (6049*s[43])/132 + (5255*s[44])/66 + 
       (6619*s[45])/264 + (63949*s[46])/264 - (9421*s[47])/198 + 
       (14389*s[48])/396 + (59239*s[49])/198 - (31711*s[50])/132 - 
       (34657*s[51])/396 - (21487*s[52])/396 + (102683*s[53])/792 + 
       (1808*s[54])/33 + (73951*s[55])/132 + (1171*s[56])/132 - 
       (99931*s[57])/132 + (1058819*s[58])/2376 - (290621*s[59])/594 - 
       (9630895*s[60])/4752 + (634199*s[61])/42768 + s[65]/2 + s[66] - 
       2*s[67] - 2*s[68] - 3*s[69] - s[70] - s[71] - 2*s[72] + (3*s[74])/2 - 
       (3*s[75])/2 - 5*s[76] + 3*s[77] + 2*s[78] - 4*s[79] + (35*s[80])/6 - 
       50*s[82] + s[83]/2 + s[84] - 4*s[85]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*(-2*s[82] - 2*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      (-s[2]/4 - 2*s[3] + (111*s[4])/8 + (1483*s[5])/88 + (1489*s[6])/44 + 
       (156745*s[7])/528 - (9197*s[8])/396 - (18377*s[9])/72 - 
       (5329*s[10])/72 - (175381*s[11])/528 - (48503*s[12])/132 - 
       (39517*s[13])/176 - (21517*s[14])/528 - (18449*s[15])/48 - 
       (43243*s[16])/88 - (192689*s[17])/528 - (11461*s[18])/216 - 
       (9197*s[19])/216 - (1407173*s[20])/2376 - (1058977*s[21])/4752 + 
       (751211*s[22])/4752 + (3367*s[23])/11 + (398507*s[24])/1188 - 
       (17943271*s[25])/42768 + (10160719*s[26])/42768 - s[32] + 
       (5*s[37])/4 + (29*s[38])/2 - (179*s[39])/4 + (189*s[40])/4 - 
       (139*s[41])/4 + 59*s[42] + (1831*s[43])/44 - (3503*s[44])/88 + 
       (489*s[45])/11 - (14681*s[46])/44 + (1173*s[47])/88 + (799*s[48])/88 - 
       (15949*s[49])/88 + (5373*s[50])/22 + (10391*s[51])/264 + 
       (3085*s[52])/88 - (5647*s[53])/33 + (271*s[54])/22 - 
       (290779*s[55])/264 - (76069*s[56])/264 + (30614*s[57])/99 - 
       (1255121*s[58])/2376 + (1282067*s[59])/2376 + (484465*s[60])/176 - 
       (2996687*s[61])/21384 - s[68]/2 - s[69]/2 + s[73] - s[77]/2 - 
       2*s[82] - 2*s[85]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      Phi6[u, v, w]*((-3*s[2])/4 - 4*s[4] + (415*s[5])/88 + (595*s[6])/88 - 
       (2219*s[7])/176 - (281*s[8])/132 + (175*s[9])/24 + (347*s[10])/24 + 
       (3659*s[11])/176 + (2229*s[12])/88 + (3507*s[13])/176 - 
       (3295*s[14])/176 + (279*s[15])/16 + (2857*s[16])/88 + 
       (3871*s[17])/176 - (677*s[18])/36 + (637*s[19])/18 + 
       (2063*s[20])/396 - (32305*s[21])/1584 - (12337*s[22])/1584 + 
       (6205*s[23])/88 - (5815*s[24])/99 + (525473*s[25])/14256 + 
       (63595*s[26])/14256 - s[32]/4 + s[37] - (9*s[38])/4 + (25*s[39])/8 - 
       (25*s[40])/8 + 4*s[41] - (7*s[42])/4 - (515*s[43])/88 + 
       (933*s[44])/176 + (195*s[45])/88 + (465*s[46])/44 + (775*s[47])/176 - 
       (1887*s[48])/176 + (6519*s[49])/176 - (1657*s[50])/88 + 
       (251*s[51])/176 + (255*s[52])/176 + (337*s[53])/44 + (2133*s[54])/88 + 
       (14837*s[55])/528 - (4831*s[56])/176 + (16909*s[57])/264 - 
       (28693*s[58])/1584 + (8407*s[59])/1584 - (220091*s[60])/1056 - 
       (85913*s[61])/7128 + s[68]/2 - s[69]/2 + s[77]/2 - 2*s[82] - 
       2*s[85]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      ((3*s[2])/4 - 2*s[3] + (115*s[4])/8 + (1563*s[5])/88 + (813*s[6])/22 + 
       (244729*s[7])/792 - (63071*s[8])/2376 - (58261*s[9])/216 - 
       (13253*s[10])/216 - (275929*s[11])/792 - (39901*s[12])/99 - 
       (21347*s[13])/88 - (34993*s[14])/792 - (4291*s[15])/12 - 
       (130039*s[16])/264 - (128911*s[17])/396 - (12515*s[18])/162 - 
       (4765*s[19])/648 - (4463341*s[20])/7128 - (1744009*s[21])/7128 + 
       (148948*s[22])/891 + (20117*s[23])/44 + (2129801*s[24])/7128 - 
       (56005739*s[25])/128304 + (32651783*s[26])/128304 - s[30]/2 - 
       s[32]/4 - (3*s[35])/2 - (7*s[36])/6 + (25*s[37])/6 + (51*s[38])/4 - 
       (359*s[39])/8 + (1237*s[40])/24 - (141*s[41])/4 + (383*s[42])/6 + 
       (9275*s[43])/264 - (20869*s[44])/528 + (12625*s[45])/264 - 
       (15025*s[46])/44 + (34115*s[47])/1584 - (6739*s[48])/1584 - 
       (237161*s[49])/1584 + (66125*s[50])/264 + (70339*s[51])/1584 + 
       (66523*s[52])/1584 - (21553*s[53])/132 + (2559*s[54])/88 - 
       (192389*s[55])/176 - (539347*s[56])/1584 + (1188875*s[57])/2376 - 
       (8746445*s[58])/14256 + (8394923*s[59])/14256 + 
       (26512433*s[60])/9504 - (10008337*s[61])/64152 - s[68]/2 - s[69]/2 - 
       s[77]/2 + 7*s[79] - (5*s[80])/3 - 2*s[82] - 2*s[85]) + 
     F1[w, u, v]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      ((-7*s[2])/2 - (69*s[3])/4 - (729*s[4])/8 - (1591*s[5])/22 - 
       (15145*s[6])/88 - (259209*s[7])/176 + (282649*s[8])/2376 + 
       (66677*s[9])/54 + (40715*s[10])/108 + (2580385*s[11])/1584 + 
       (1412647*s[12])/792 + (1709617*s[13])/1584 + (265003*s[14])/1584 + 
       (280943*s[15])/144 + (492209*s[16])/198 + (3022639*s[17])/1584 + 
       (93689*s[18])/324 + (135239*s[19])/648 + (20671229*s[20])/7128 + 
       (15350041*s[21])/14256 - (10945361*s[22])/14256 - 
       (1440355*s[23])/792 - (11202451*s[24])/7128 + (66556795*s[25])/32076 - 
       (18454295*s[26])/16038 - s[30] - 2*s[31] - 2*s[33] + 4*s[34] + 
       (7*s[36])/2 - (8*s[37])/3 - 29*s[38] + (877*s[39])/8 - (977*s[40])/8 + 
       (745*s[41])/8 - (1245*s[42])/8 - (8323*s[43])/88 + (17739*s[44])/176 - 
       (3569*s[45])/33 + (216439*s[46])/264 - (19715*s[47])/528 - 
       (4865*s[48])/528 + (228545*s[49])/528 - (13649*s[50])/22 - 
       (56321*s[51])/528 - (46837*s[52])/528 + (171517*s[53])/396 - 
       (1609*s[54])/132 + (1447717*s[55])/528 + (1149761*s[56])/1584 - 
       (1020881*s[57])/1188 + (18801583*s[58])/14256 - 
       (19148317*s[59])/14256 - (2323939*s[60])/352 + 
       (45998383*s[61])/128304 + 2*s[73] + s[74]/2 - s[75]/2 + 2*s[76] - 
       2*s[78] - 2*s[79] - (4*s[80])/3 - 20*s[82] - s[83] - 2*s[84] - 
       2*s[85]) + F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      ((-7*s[2])/2 - (43*s[3])/2 - (879*s[4])/8 - (1631*s[5])/22 - 
       (2216*s[6])/11 - (456713*s[7])/264 + (320537*s[8])/2376 + 
       (155561*s[9])/108 + (101681*s[10])/216 + (3034019*s[11])/1584 + 
       (3306103*s[12])/1584 + (1007113*s[13])/792 + (156433*s[14])/792 + 
       (166553*s[15])/72 + (583765*s[16])/198 + (3627137*s[17])/1584 + 
       (98365*s[18])/324 + (194335*s[19])/648 + (6060877*s[20])/1782 + 
       (8739943*s[21])/7128 - (801985*s[22])/891 - (3058423*s[23])/1584 - 
       (27520873*s[24])/14256 + (314948159*s[25])/128304 - 
       (170942111*s[26])/128304 - s[30] - 2*s[31] + s[32]/4 - 2*s[33] + 
       4*s[34] + 4*s[36] - (7*s[37])/12 - (65*s[38])/2 + (1009*s[39])/8 - 
       (1145*s[40])/8 + (903*s[41])/8 - (1421*s[42])/8 - (10563*s[43])/88 + 
       (22289*s[44])/176 - (8039*s[45])/66 + (255503*s[46])/264 - 
       (7351*s[47])/264 - (5243*s[48])/132 + (146683*s[49])/264 - 
       (65951*s[50])/88 - (2619*s[51])/22 - (49531*s[52])/528 + 
       (409759*s[53])/792 + (466*s[54])/33 + (859921*s[55])/264 + 
       (636017*s[56])/792 - (1868663*s[57])/2376 + (5228651*s[58])/3564 - 
       (5428451*s[59])/3564 - (12692951*s[60])/1584 + 
       (51538007*s[61])/128304 + s[68]/2 - s[69]/2 + 2*s[73] + s[74]/2 - 
       s[75]/2 + 2*s[76] + s[77]/2 - 2*s[78] - 4*s[79] - (2*s[80])/3 - 
       20*s[82] - s[83] - 2*s[84] - 2*s[85]) + F1[v, w, u]*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*((3*s[2])/2 + (7*s[3])/4 + (685*s[4])/8 + 
       (189*s[5])/4 + (1045*s[6])/8 + (56869*s[7])/48 - (8921*s[8])/72 - 
       (8845*s[9])/9 - (4729*s[10])/18 - (64169*s[11])/48 - 
       (36623*s[12])/24 - (44041*s[13])/48 - (1559*s[14])/48 - 
       (71089*s[15])/48 - (23509*s[16])/12 - (22149*s[17])/16 - 
       (11467*s[18])/54 - (36719*s[19])/216 - (481867*s[20])/216 - 
       (337637*s[21])/432 + (267769*s[22])/432 + (39607*s[23])/24 + 
       (270341*s[24])/216 - (853483*s[25])/486 + (888263*s[26])/972 - 
       2*s[29] + s[30] - s[32]/2 - s[33]/4 - s[35] - (5*s[36])/2 + 
       (9*s[37])/2 + (51*s[38])/2 - (895*s[39])/8 + (923*s[40])/8 - 
       (685*s[41])/8 + (1309*s[42])/8 + (627*s[43])/8 - (1453*s[44])/16 + 
       (279*s[45])/4 - (5411*s[46])/8 + (2785*s[47])/48 - (1433*s[48])/48 - 
       (18331*s[49])/48 + (1993*s[50])/4 + (5147*s[51])/48 + 
       (4199*s[52])/48 - (4117*s[53])/12 + (71*s[54])/2 - (99323*s[55])/48 - 
       (27145*s[56])/48 + (36259*s[57])/36 - (494927*s[58])/432 + 
       (493073*s[59])/432 + (1519141*s[60])/288 - (1075859*s[61])/3888 - 
       s[65]/2 - s[66] + 2*s[67] + 2*s[68] + 3*s[69] + s[71]/2 + 2*s[72] - 
       2*s[73] - s[74] + s[75] + 2*s[78] + 2*s[79] - 3*s[80] - 11*s[82] + 
       s[83]/2 + s[84] - 2*s[85]) + F1[v, w, u]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*(s[2]/4 - (21*s[3])/8 - (129*s[4])/16 - 
       (911*s[5])/88 - (3679*s[6])/176 - (176639*s[7])/1056 + 
       (59027*s[8])/4752 + (14521*s[9])/108 + (14131*s[10])/216 + 
       (534263*s[11])/3168 + (252641*s[12])/1584 + (266939*s[13])/3168 + 
       (204617*s[14])/3168 + (79315*s[15])/288 + (515287*s[16])/1584 + 
       (1017017*s[17])/3168 + (17839*s[18])/648 + (54211*s[19])/1296 + 
       (5371585*s[20])/14256 + (4119443*s[21])/28512 - 
       (2361463*s[22])/28512 - (16705*s[23])/198 - (1556659*s[24])/7128 + 
       (6366229*s[25])/32076 - (8092877*s[26])/64152 + s[31] + (3*s[33])/4 - 
       3*s[34] + s[36]/4 + (31*s[37])/12 + (11*s[38])/4 + (39*s[39])/16 - 
       (91*s[40])/16 + (113*s[41])/16 - (85*s[42])/16 - (1297*s[43])/176 + 
       (3475*s[44])/352 - (3415*s[45])/264 + (46187*s[46])/528 + 
       (1911*s[47])/352 - (4887*s[48])/352 + (14419*s[49])/352 - 
       (6863*s[50])/88 - (1697*s[51])/1056 + (925*s[52])/352 + 
       (94795*s[53])/1584 + (1993*s[54])/264 + (409925*s[55])/1056 + 
       (265993*s[56])/3168 + (289541*s[57])/2376 + (2220311*s[58])/28512 - 
       (2793629*s[59])/28512 - (5109851*s[60])/6336 + 
       (12001721*s[61])/256608 + s[68]/2 - s[69]/2 - s[71]/4 - s[76] + 
       s[77]/2 + s[78]/2 - s[79] + (8*s[80])/3 - 11*s[82] + s[83]/2 + s[84] - 
       2*s[85]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      (5*s[3] + (53*s[4])/4 + (179*s[5])/44 + (2341*s[6])/88 + 
       (20501*s[7])/88 - (3133*s[8])/264 - (1133*s[9])/6 - (2173*s[10])/24 - 
       (46027*s[11])/176 - (48615*s[12])/176 - (15189*s[13])/88 - 
       (3547*s[14])/88 - (7823*s[15])/24 - (37449*s[16])/88 - 
       (62049*s[17])/176 - (271*s[18])/18 - (3037*s[19])/36 - 
       (373397*s[20])/792 - (57289*s[21])/396 + (95695*s[22])/792 + 
       (11315*s[23])/176 + (526937*s[24])/1584 - (4831591*s[25])/14256 + 
       (2375167*s[26])/14256 - s[32]/4 - 2*s[37] + (11*s[38])/2 - 
       (163*s[39])/8 + (199*s[40])/8 - (169*s[41])/8 + (209*s[42])/8 + 
       (2353*s[43])/88 - (5235*s[44])/176 + (823*s[45])/44 - 
       (14985*s[46])/88 - (985*s[47])/132 + (8623*s[48])/264 - 
       (17945*s[49])/132 + (12307*s[50])/88 + (4055*s[51])/264 + 
       (4573*s[52])/528 - (11599*s[53])/132 - (1229*s[54])/44 - 
       (72971*s[55])/132 - (1124*s[56])/11 + (383*s[57])/44 - 
       (162257*s[58])/792 + (176849*s[59])/792 + (623077*s[60])/396 - 
       (800687*s[61])/14256 - s[68]/2 + s[69]/2 - s[77]/2 + (43*s[82])/2 + 
       2*s[85]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      ((3*s[3])/8 - (25*s[4])/16 - (69*s[5])/88 - (229*s[6])/176 - 
       (15349*s[7])/1056 + (7847*s[8])/4752 + (1171*s[9])/108 + 
       (38*s[10])/27 + (35711*s[11])/3168 + (6487*s[12])/792 + 
       (15089*s[13])/3168 + (4523*s[14])/3168 + (7489*s[15])/288 + 
       (29965*s[16])/1584 + (77345*s[17])/3168 + (661*s[18])/162 + 
       (1315*s[19])/1296 + (341095*s[20])/14256 + (239825*s[21])/28512 - 
       (170905*s[22])/28512 - (26195*s[23])/1584 - (166613*s[24])/14256 + 
       (2046049*s[25])/128304 - (1236463*s[26])/128304 + (3*s[36])/4 + 
       (5*s[37])/24 + (5*s[38])/2 - (109*s[39])/16 + (129*s[40])/16 - 
       (85*s[41])/16 + (149*s[42])/16 + (835*s[43])/176 - (3057*s[44])/352 + 
       (1363*s[45])/528 - (4273*s[46])/132 + (1175*s[47])/1056 + 
       (5597*s[48])/1056 - (30893*s[49])/1056 + (1061*s[50])/44 + 
       (4645*s[51])/1056 + (4771*s[52])/1056 - (941*s[53])/99 - 
       (322*s[54])/33 - (23547*s[55])/352 - (82073*s[56])/3168 + 
       (36934*s[57])/297 - (2164453*s[58])/28512 + (1953097*s[59])/28512 + 
       (590707*s[60])/2112 - (1367831*s[61])/128304 + s[79] - (7*s[80])/12 + 
       (43*s[82])/2 + 2*s[85]) + F1[w, u, v]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*(3*s[3] + s[4]/2 + (713*s[5])/88 - (707*s[6])/88 + 
       (11579*s[7])/132 - (5447*s[8])/792 - (5455*s[9])/72 - 
       (3401*s[10])/72 - (21289*s[11])/264 - (18059*s[12])/264 - 
       (785*s[13])/44 - (1591*s[14])/66 - (4319*s[15])/24 - (8361*s[16])/44 - 
       (6640*s[17])/33 - (959*s[18])/216 - (4109*s[19])/108 - 
       (67856*s[20])/297 - (189121*s[21])/2376 + (56185*s[22])/1188 + 
       (761*s[23])/22 + (159961*s[24])/1188 - (4035575*s[25])/42768 + 
       (2465867*s[26])/42768 + s[30] - s[36] - (31*s[37])/6 - (21*s[38])/2 + 
       (25*s[39])/2 - (13*s[40])/2 - s[41]/4 - (47*s[42])/4 - (29*s[43])/22 - 
       (111*s[44])/11 + (475*s[45])/33 - (5453*s[46])/66 - (1949*s[47])/88 + 
       (2451*s[48])/88 - (2997*s[49])/88 + (1148*s[50])/11 - 
       (1295*s[51])/88 - (296*s[52])/11 - (33827*s[53])/396 - 
       (5611*s[54])/132 - (149597*s[55])/264 - (70835*s[56])/792 - 
       (528137*s[57])/1188 + (163841*s[58])/7128 + (292675*s[59])/7128 + 
       (1552009*s[60])/1584 - (919753*s[61])/16038 - s[68] + s[69] - s[70] + 
       s[71]/2 - 2*s[73] + 2*s[76] + s[77] - s[78] + 2*s[79] - (13*s[80])/3 + 
       44*s[82] + 4*s[85]) + F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      (5*s[2] - (25*s[3])/4 - (267*s[4])/8 + (5507*s[5])/88 + 
       (2813*s[6])/44 + (628411*s[7])/1584 + (42883*s[8])/1188 - 
       (85925*s[9])/216 - (38527*s[10])/216 - (618325*s[11])/1584 - 
       (238561*s[12])/792 - (89603*s[13])/528 - (556903*s[14])/1584 - 
       (10351*s[15])/16 - (63221*s[16])/88 - (1265573*s[17])/1584 - 
       (76501*s[18])/648 - (17615*s[19])/648 - (7632107*s[20])/7128 - 
       (7454203*s[21])/14256 + (3120221*s[22])/14256 - (41125*s[23])/264 + 
       (3294763*s[24])/7128 - (42879361*s[25])/128304 + 
       (44172913*s[26])/128304 + 2*s[29] - 2*s[30] + 4*s[31] + s[32]/2 + 
       3*s[33] - 4*s[34] + s[35] - s[36]/3 - (5*s[37])/6 + (11*s[38])/2 + 
       (71*s[39])/4 - (173*s[40])/12 + (21*s[41])/2 - (305*s[42])/6 + 
       (5525*s[43])/132 - (691*s[44])/66 + (7321*s[45])/66 - 
       (55255*s[46])/132 - (48889*s[47])/792 + (89645*s[48])/792 - 
       (117113*s[49])/792 + (21013*s[50])/66 - (33977*s[51])/792 - 
       (10363*s[52])/396 - (49507*s[53])/198 - (6937*s[54])/132 - 
       (483605*s[55])/264 - (38039*s[56])/88 - (353405*s[57])/396 - 
       (806291*s[58])/2376 + (937661*s[59])/2376 + (19411835*s[60])/4752 - 
       (1604353*s[61])/7128 + s[65]/2 + s[66] - 2*s[67] - 3*s[68] - 2*s[69] - 
       s[70] - s[71]/2 - 2*s[72] + (3*s[74])/2 - (3*s[75])/2 - 5*s[76] + 
       2*s[77] + 2*s[78] - 2*s[79] + (13*s[80])/3 + 44*s[82] + 4*s[85]) + 
     F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      (-15*s[3] + (185*s[4])/2 + (457*s[5])/8 + (785*s[6])/8 + 
       (104707*s[7])/72 - (965*s[8])/8 - (29827*s[9])/24 - (3319*s[10])/8 - 
       (9655*s[11])/6 - (14143*s[12])/8 - (76415*s[13])/72 - 
       (1711*s[14])/24 - (17749*s[15])/9 - (44609*s[16])/18 - 
       (134695*s[17])/72 - (41521*s[18])/216 - (34009*s[19])/108 - 
       (307673*s[20])/108 - (105025*s[21])/108 + (18841*s[22])/24 + 
       (13742*s[23])/9 + (62231*s[24])/36 - (8126575*s[25])/3888 + 
       (4175539*s[26])/3888 - s[30] - (35*s[36])/6 + (13*s[37])/12 + 
       (109*s[38])/2 - (1683*s[39])/8 + (5765*s[40])/24 - (1581*s[41])/8 + 
       (7135*s[42])/24 + (53167*s[43])/264 - (117869*s[44])/528 + 
       (50429*s[45])/264 - (35947*s[46])/22 + (53677*s[47])/1584 + 
       (111955*s[48])/1584 - (1567975*s[49])/1584 + (89377*s[50])/66 + 
       (314687*s[51])/1584 + (215711*s[52])/1584 - (119083*s[53])/132 - 
       (6791*s[54])/44 - (3028525*s[55])/528 - (2004905*s[56])/1584 + 
       (578185*s[57])/594 - (33530725*s[58])/14256 + (35899849*s[59])/14256 + 
       (135959839*s[60])/9504 - (39854063*s[61])/64152 - s[68] + s[69] + 
       s[71]/2 - s[74] + s[75] + 2*s[76] - s[77] - s[78] + 30*s[79] - 
       (41*s[80])/6 + 59*s[82] + (3*s[83])/2 + 3*s[84] + 4*s[85]) + 
     F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*(3*s[2] - (65*s[3])/4 + 
       (745*s[4])/8 + (6403*s[5])/88 + (6609*s[6])/44 + (292841*s[7])/176 - 
       (41537*s[8])/297 - (306071*s[9])/216 - (95851*s[10])/216 - 
       (2971033*s[11])/1584 - (1665091*s[12])/792 - (2003281*s[13])/1584 - 
       (187543*s[14])/1584 - (305189*s[15])/144 - (274354*s[16])/99 - 
       (3196333*s[17])/1584 - (169399*s[18])/648 - (201989*s[19])/648 - 
       (23010749*s[20])/7128 - (16159567*s[21])/14256 + 
       (12674141*s[22])/14256 + (348889*s[23])/198 + (1692602*s[24])/891 - 
       (309591775*s[25])/128304 + (162357139*s[26])/128304 - 2*s[29] + 
       s[30] - s[32]/2 - s[33]/4 - s[35] - (13*s[36])/2 + (13*s[37])/4 + 
       89*s[38] - (2461*s[39])/8 + (2633*s[40])/8 - (2069*s[41])/8 + 
       (3325*s[42])/8 + (24971*s[43])/88 - (51899*s[44])/176 + 
       (24171*s[45])/88 - (99829*s[46])/44 + (39239*s[47])/528 + 
       (46301*s[48])/528 - (726941*s[49])/528 + (78387*s[50])/44 + 
       (48223*s[51])/176 + (112093*s[52])/528 - (157735*s[53])/132 - 
       (2581*s[54])/22 - (1320323*s[55])/176 - (306857*s[56])/176 + 
       (74307*s[57])/44 - (5326945*s[58])/1584 + (5528893*s[59])/1584 + 
       (60987389*s[60])/3168 - (1588069*s[61])/1782 - s[65]/2 - s[66] + 
       2*s[67] + 2*s[68] + 4*s[69] + s[70] + s[71]/2 + 2*s[72] - 6*s[73] - 
       (3*s[74])/2 + (3*s[75])/2 - 2*s[76] - 2*s[77] + 4*s[78] + 8*s[79] - 
       (5*s[80])/2 + 59*s[82] + (3*s[83])/2 + 3*s[84] + 4*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*Phi6[u, v, w]*
      (38*s[82] + 8*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      Phi6[u, v, w]*(10*s[3] + (67*s[4])/2 + (51*s[5])/44 + (1075*s[6])/22 + 
       (128723*s[7])/264 - (9695*s[8])/396 - (14005*s[9])/36 - 
       (3685*s[10])/18 - (17965*s[11])/33 - (148609*s[12])/264 - 
       (31569*s[13])/88 - (17657*s[14])/264 - (17579*s[15])/24 - 
       (10099*s[16])/11 - (105305*s[17])/132 + (155*s[18])/54 - 
       (6010*s[19])/27 - (1147945*s[20])/1188 - (654569*s[21])/2376 + 
       (598717*s[22])/2376 + (1055*s[23])/88 + (1791925*s[24])/2376 - 
       (3828173*s[25])/5346 + (887218*s[26])/2673 - 6*s[37] + 11*s[38] - 
       29*s[39] + 35*s[40] - (71*s[41])/2 + (65*s[42])/2 + (591*s[43])/11 - 
       (2161*s[44])/44 + (1107*s[45])/44 - (12433*s[46])/44 - 
       (8725*s[47])/264 + (21371*s[48])/264 - (71417*s[49])/264 + 
       (11449*s[50])/44 + (3611*s[51])/264 + (323*s[52])/132 - 
       (1891*s[53])/11 - (1823*s[54])/22 - (277837*s[55])/264 - 
       (29323*s[56])/264 - (37816*s[57])/99 - (485153*s[58])/2376 + 
       (699821*s[59])/2376 + (4583105*s[60])/1584 - (1372703*s[61])/21384 - 
       2*s[68] + 2*s[69] - 2*s[77] + 38*s[82] + 8*s[85]) + 
     F1[u, v, w]*HPL[{0, 1, 1}, 1 - w]*(6*s[2] + 28*s[3] + (121*s[4])/2 + 
       (985*s[5])/44 + (5179*s[6])/44 + (248483*s[7])/264 - (2249*s[8])/33 - 
       (9061*s[9])/12 - (3749*s[10])/12 - (90049*s[11])/88 - 
       (47589*s[12])/44 - (174151*s[13])/264 - (14607*s[14])/88 - 
       (10689*s[15])/8 - (222281*s[16])/132 - (376007*s[17])/264 - 
       (1033*s[18])/9 - (2240*s[19])/9 - (376663*s[20])/198 - 
       (165511*s[21])/264 + (376135*s[22])/792 + (84595*s[23])/132 + 
       (118025*s[24])/99 - (3138511*s[25])/2376 + (1641883*s[26])/2376 - 
       (3*s[32])/2 - 7*s[37] + (33*s[38])/2 - (291*s[39])/4 + (367*s[40])/4 - 
       (157*s[41])/2 + 106*s[42] + (4069*s[43])/44 - (8271*s[44])/88 + 
       (2999*s[45])/44 - (13383*s[46])/22 - (3049*s[47])/264 + 
       (20381*s[48])/264 - (109697*s[49])/264 + (21723*s[50])/44 + 
       (18263*s[51])/264 + (12361*s[52])/264 - (11294*s[53])/33 - 
       (797*s[54])/44 - (556753*s[55])/264 - (38125*s[56])/88 + 
       (6599*s[57])/132 - (66895*s[58])/88 + (220379*s[59])/264 + 
       (8388665*s[60])/1584 - (804665*s[61])/3564 - 2*s[68] + 2*s[69] - 
       2*s[77] + 39*s[82] + 8*s[85]) + F1[w, u, v]*HPL[{0, 1, 1}, 1 - u]*
      ((-3*s[3])/2 + (67*s[4])/4 + (61*s[5])/22 + (997*s[6])/44 + 
       (15817*s[7])/88 - (21535*s[8])/1188 - (7933*s[9])/54 - 
       (880*s[10])/27 - (163195*s[11])/792 - (95347*s[12])/396 - 
       (125647*s[13])/792 + (7091*s[14])/792 - (14951*s[15])/72 - 
       (110189*s[16])/396 - (140797*s[17])/792 - (4541*s[18])/162 - 
       (7715*s[19])/324 - (1102049*s[20])/3564 - (730615*s[21])/7128 + 
       (670391*s[22])/7128 + (26644*s[23])/99 + (335111*s[24])/1782 - 
       (4512931*s[25])/16038 + (2233195*s[26])/16038 - s[36] + (13*s[37])/6 + 
       10*s[38] - (143*s[39])/4 + (163*s[40])/4 - (123*s[41])/4 + 
       (203*s[42])/4 + (1513*s[43])/44 - (2855*s[44])/88 + (2723*s[45])/132 - 
       (13657*s[46])/66 + (3653*s[47])/264 + (1079*s[48])/264 - 
       (33839*s[49])/264 + (1609*s[50])/11 + (9431*s[51])/264 + 
       (8653*s[52])/264 - (18995*s[53])/198 + (919*s[54])/33 - 
       (154831*s[55])/264 - (134419*s[56])/792 + (220027*s[57])/594 - 
       (2622623*s[58])/7128 + (2598215*s[59])/7128 + (2614255*s[60])/1584 - 
       (599743*s[61])/8019 + 8*s[79] - (5*s[80])/3 + 39*s[82] + 8*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*Phi6[u, v, w]*
      (20*s[3] + 50*s[4] + 33*s[5] + 127*s[6] + (4213*s[7])/4 - 
       (325*s[8])/6 - (5191*s[9])/6 - (2327*s[10])/6 - (4663*s[11])/4 - 
       (2449*s[12])/2 - (2999*s[13])/4 - (889*s[14])/4 - (17639*s[15])/12 - 
       1901*s[16] - (6363*s[17])/4 - (1925*s[18])/18 - (5731*s[19])/18 - 
       (39191*s[20])/18 - (26023*s[21])/36 + (19655*s[22])/36 + 441*s[23] + 
       (25555*s[24])/18 - (240137*s[25])/162 + (125945*s[26])/162 - s[32] - 
       6*s[37] + 17*s[38] - 56*s[39] + 68*s[40] - (113*s[41])/2 + 
       (117*s[42])/2 + (1026*s[43])/11 - (1085*s[44])/11 + (2037*s[45])/22 - 
       (15085*s[46])/22 - (2317*s[47])/44 + (6879*s[48])/44 - 
       (21869*s[49])/44 + (6243*s[50])/11 + (2479*s[51])/132 + 
       (95*s[52])/11 - (3983*s[53])/11 - (3149*s[54])/22 - 
       (313187*s[55])/132 - (19883*s[56])/44 - (10876*s[57])/33 - 
       (294067*s[58])/396 + (323497*s[59])/396 + (1742677*s[60])/264 - 
       (899191*s[61])/3564 - 2*s[68] + 2*s[69] - 2*s[77] + 116*s[82] + 
       8*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*Phi6[u, v, w]*
      ((3*s[3])/2 + (33*s[4])/4 + (204*s[5])/11 - (217*s[6])/44 + 
       (73793*s[7])/264 - (8215*s[8])/396 - (4333*s[9])/18 - 
       (2111*s[10])/18 - (79357*s[11])/264 - (20489*s[12])/66 - 
       (38639*s[13])/264 - (12253*s[14])/264 - (11011*s[15])/24 - 
       (72715*s[16])/132 - (42089*s[17])/88 - (1295*s[18])/54 - 
       (11129*s[19])/108 - (770717*s[20])/1188 - (497347*s[21])/2376 + 
       (365003*s[22])/2376 + (21701*s[23])/132 + (486631*s[24])/1188 - 
       (1975321*s[25])/5346 + (1001251*s[26])/5346 + 3*s[36] - (7*s[37])/3 - 
       3*s[38] - (17*s[39])/4 + (21*s[40])/4 + s[41]/4 + (19*s[42])/4 - 
       (15*s[43])/4 - (169*s[44])/8 - (25*s[45])/6 - (307*s[46])/12 - 
       (45*s[47])/8 + (105*s[48])/8 - (529*s[49])/8 + (97*s[50])/2 - 
       (305*s[51])/24 - (147*s[52])/8 - (539*s[53])/36 - (509*s[54])/6 - 
       (2147*s[55])/24 + (1621*s[56])/72 + (377*s[57])/54 - 
       (14689*s[58])/648 + (26515*s[59])/648 + (68929*s[60])/144 + 
       (13385*s[61])/5832 + s[71] - (14*s[80])/3 + 116*s[82] + 8*s[85]) + 
     F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*(34*s[82] - (3*s[83])/4 + 
       (21*s[84])/2 + 14*s[85]) + F1[v, w, u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*((29*s[2])/4 + (39*s[3])/8 + (2305*s[4])/16 + 
       (6179*s[5])/44 + (56335*s[6])/176 + (9242473*s[7])/3168 - 
       (915973*s[8])/4752 - (540481*s[9])/216 - (177845*s[10])/216 - 
       (10121563*s[11])/3168 - (2729381*s[12])/792 - (729341*s[13])/352 - 
       (1614235*s[14])/3168 - (124451*s[15])/32 - (162068*s[16])/33 - 
       (12181865*s[17])/3168 - (350597*s[18])/648 - (567971*s[19])/1296 - 
       (85082423*s[20])/14256 - (62346421*s[21])/28512 + 
       (44072153*s[22])/28512 + (128459*s[23])/44 + (23200115*s[24])/7128 - 
       (128106047*s[25])/32076 + (35955577*s[26])/16038 + 2*s[29] - s[30]/2 + 
       4*s[31] + s[32]/2 + (13*s[33])/4 - (9*s[34])/2 - s[35]/2 - 
       (17*s[36])/12 + (77*s[37])/12 + (211*s[38])/4 - (2687*s[39])/16 + 
       (9233*s[40])/48 - (2385*s[41])/16 + (10819*s[42])/48 + 
       (92083*s[43])/528 - (173087*s[44])/1056 + (15643*s[45])/66 - 
       (282247*s[46])/176 + (114613*s[47])/3168 + (227539*s[48])/3168 - 
       (2396791*s[49])/3168 + (162625*s[50])/132 + (519623*s[51])/3168 + 
       (439049*s[52])/3168 - (223601*s[53])/264 + (19*s[54])/11 - 
       (5853449*s[55])/1056 - (4642589*s[56])/3168 + (1142071*s[57])/1188 - 
       (68451607*s[58])/28512 + (68617261*s[59])/28512 + 
       (257017477*s[60])/19008 - (185474263*s[61])/256608 + s[65]/2 + s[66] - 
       2*s[67] - 4*s[69] - s[71] - s[72] + s[73]/2 + s[74]/4 - s[75]/4 - 
       4*s[76] + (5*s[77])/2 - s[78]/2 + 19*s[79] + s[80]/3 + 34*s[82] - 
       (3*s[83])/4 + (21*s[84])/2 + 14*s[85]) + F1[v, w, u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*((5*s[2])/4 + (107*s[3])/8 + (6705*s[4])/16 + 
       (21099*s[5])/88 + (114249*s[6])/176 + (19527589*s[7])/3168 - 
       (2591803*s[8])/4752 - (558701*s[9])/108 - (41740*s[10])/27 - 
       (21723403*s[11])/3168 - (3027997*s[12])/396 - (4871027*s[13])/1056 - 
       (1478023*s[14])/3168 - (765481*s[15])/96 - (452875*s[16])/44 - 
       (24100565*s[17])/3168 - (353551*s[18])/324 - (1238855*s[19])/1296 - 
       (170699051*s[20])/14256 - (120169237*s[21])/28512 + 
       (92512445*s[22])/28512 + (1007627*s[23])/132 + (47680625*s[24])/7128 - 
       (1138622153*s[25])/128304 + (603507497*s[26])/128304 - 2*s[29] + 
       s[30]/2 + s[32]/2 - (7*s[33])/4 - (5*s[34])/2 - (5*s[35])/2 - 
       (113*s[36])/12 + (175*s[37])/12 + (579*s[38])/4 - (9255*s[39])/16 + 
       (30905*s[40])/48 - (8049*s[41])/16 + (40243*s[42])/48 + 
       (250411*s[43])/528 - (558455*s[44])/1056 + (61453*s[45])/132 - 
       (2126081*s[46])/528 + (685237*s[47])/3168 + (48931*s[48])/3168 - 
       (7017415*s[49])/3168 + (409561*s[50])/132 + (1863335*s[51])/3168 + 
       (1472657*s[52])/3168 - (1652891*s[53])/792 + (1987*s[54])/33 - 
       (4590203*s[55])/352 - (3585391*s[56])/1056 + (1822897*s[57])/396 - 
       (20538863*s[58])/3168 + (6888335*s[59])/1056 + 
       (622732381*s[60])/19008 - (141184361*s[61])/85536 - s[65]/2 - s[66] + 
       2*s[67] + 2*s[68] + 2*s[69] + 2*s[70] + 3*s[72] - (3*s[73])/2 - 
       (15*s[74])/4 + (15*s[75])/4 - (7*s[77])/2 + (7*s[78])/2 + 55*s[79] - 
       (49*s[80])/3 + 37*s[82] + (9*s[83])/4 + (33*s[84])/2 + 14*s[85]) + 
     F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*(3*s[2] - (25*s[3])/4 + 
       (707*s[4])/8 + (5157*s[5])/88 + (6439*s[6])/44 + (724301*s[7])/528 - 
       (40082*s[8])/297 - (249329*s[9])/216 - (67381*s[10])/216 - 
       (2452639*s[11])/1584 - (1397167*s[12])/792 - (1686499*s[13])/1584 - 
       (108133*s[14])/1584 - (244115*s[15])/144 - (890767*s[16])/396 - 
       (2513011*s[17])/1584 - (159253*s[18])/648 - (123971*s[19])/648 - 
       (18588575*s[20])/7128 - (13189285*s[21])/14256 + 
       (10337951*s[22])/14256 + (356341*s[23])/198 + (1298090*s[24])/891 - 
       (258442837*s[25])/128304 + (136105873*s[26])/128304 - 2*s[29] + 
       s[30] - s[32]/2 - s[33]/4 - s[35] - (13*s[36])/2 + (35*s[37])/4 + 
       (133*s[38])/2 - (2047*s[39])/8 + (2203*s[40])/8 - (1665*s[41])/8 + 
       (2921*s[42])/8 + (18057*s[43])/88 - (39045*s[44])/176 + 
       (17591*s[45])/88 - (37313*s[46])/22 + (57487*s[47])/528 - 
       (7127*s[48])/528 - (502549*s[49])/528 + (55809*s[50])/44 + 
       (43719*s[51])/176 + (108467*s[52])/528 - (114271*s[53])/132 + 
       (2193*s[54])/44 - (944803*s[55])/176 - (757027*s[56])/528 + 
       (216496*s[57])/99 - (13350899*s[58])/4752 + (13408499*s[59])/4752 + 
       (42962893*s[60])/3168 - (15065605*s[61])/21384 - s[65]/2 - s[66] + 
       2*s[67] + 3*s[68] + 3*s[69] + s[70] + s[71]/2 + 2*s[72] - 6*s[73] - 
       (3*s[74])/2 + (3*s[75])/2 - 2*s[76] - s[77] + 4*s[78] + 8*s[79] - 
       (5*s[80])/2 + 37*s[82] + (9*s[83])/4 + (33*s[84])/2 + 14*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      (4*s[2] + 21*s[3] + (2595*s[4])/8 + (25595*s[5])/88 + (15369*s[6])/22 + 
       (824677*s[7])/132 - (9831*s[8])/22 - 5301*s[9] - (14341*s[10])/8 - 
       (299791*s[11])/44 - (322899*s[12])/44 - (143993*s[13])/33 - 
       (99585*s[14])/88 - (101047*s[15])/12 - (2814037*s[16])/264 - 
       (278956*s[17])/33 - (10373*s[18])/9 - (17585*s[19])/18 - 
       (5074153*s[20])/396 - (1855685*s[21])/396 + (867155*s[22])/264 + 
       (826783*s[23])/132 + (231887*s[24])/33 - (30386999*s[25])/3564 + 
       (17122619*s[26])/3564 - (3*s[30])/2 - s[31] - (27*s[33])/8 + 
       (9*s[34])/2 + s[35]/2 + (5*s[36])/2 + s[37]/3 + 91*s[38] - 
       (1257*s[39])/4 + (1471*s[40])/4 - (1175*s[41])/4 + 429*s[42] + 
       (14907*s[43])/44 - (58381*s[44])/176 + (15868*s[45])/33 - 
       (428641*s[46])/132 + (21953*s[47])/528 + (102605*s[48])/528 - 
       (802331*s[49])/528 + (111247*s[50])/44 + (158993*s[51])/528 + 
       (129097*s[52])/528 - (1381117*s[53])/792 - (724*s[54])/33 - 
       (6052853*s[55])/528 - (4765687*s[56])/1584 + (3423335*s[57])/2376 - 
       (67157741*s[58])/14256 + (67923569*s[59])/14256 + 
       (87507193*s[60])/3168 - (95961733*s[61])/64152 + s[65]/2 + s[66] - 
       2*s[67] - 2*s[68] - 3*s[69] - (3*s[71])/2 - s[72] + 5*s[73] + 
       s[74]/4 - s[75]/4 - 2*s[76] + (5*s[77])/2 - 4*s[78] + 36*s[79] - 
       (4*s[80])/3 + 54*s[82] - (3*s[83])/2 + 9*s[84] + 16*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      ((-17*s[2])/2 - (11*s[3])/4 - (57*s[4])/2 - (2737*s[5])/88 - 
       (9061*s[6])/88 - (118065*s[7])/176 + (137803*s[8])/2376 + 
       (14704*s[9])/27 + (46555*s[10])/216 + (1137127*s[11])/1584 + 
       (72911*s[12])/99 + (731677*s[13])/1584 + (236833*s[14])/1584 + 
       (133679*s[15])/144 + (922379*s[16])/792 + (1604653*s[17])/1584 + 
       (11621*s[18])/81 + (53501*s[19])/648 + (9552647*s[20])/7128 + 
       (7699141*s[21])/14256 - (4883447*s[22])/14256 - (66812*s[23])/99 - 
       (637463*s[24])/891 + (56038787*s[25])/64152 - (33819479*s[26])/64152 + 
       s[30]/2 - 3*s[31] + (3*s[32])/2 - s[33]/8 + (5*s[34])/2 + s[35]/2 + 
       8*s[36] - (23*s[37])/6 - (7*s[38])/2 + (599*s[39])/8 - (679*s[40])/8 + 
       (537*s[41])/8 - (979*s[42])/8 - (6001*s[43])/88 + (3329*s[44])/44 - 
       (1615*s[45])/33 + (150437*s[46])/264 - (7937*s[47])/264 - 
       (751*s[48])/132 + (76391*s[49])/264 - (19685*s[50])/44 - 
       (10231*s[51])/132 - (16333*s[52])/264 + (259189*s[53])/792 - 
       (2201*s[54])/132 + (124507*s[55])/66 + (412967*s[56])/792 - 
       (1511531*s[57])/2376 + (6467281*s[58])/7128 - (823331*s[59])/891 - 
       (772963*s[60])/176 + (33350039*s[61])/128304 + s[65]/2 + s[66] - 
       2*s[67] - 2*s[68] - 3*s[69] - 2*s[70] - (3*s[71])/2 - s[72] + 
       2*s[73] + (5*s[74])/4 - (5*s[75])/4 + 2*s[76] + (5*s[77])/2 - 
       3*s[78] - 6*s[79] + (34*s[80])/3 + 54*s[82] - (3*s[83])/2 + 9*s[84] + 
       16*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*Phi6[u, v, w]*
      (-5*s[2] + (71*s[3])/4 + (65*s[4])/2 - (413*s[5])/88 + (519*s[6])/88 + 
       (20621*s[7])/528 - (28453*s[8])/2376 - (772*s[9])/27 + 
       (12791*s[10])/216 - (101767*s[11])/1584 - (49283*s[12])/396 - 
       (112489*s[13])/1584 + (145631*s[14])/1584 + (43*s[15])/144 - 
       (6773*s[16])/198 + (165191*s[17])/1584 - (4481*s[18])/324 + 
       (12667*s[19])/648 - (61967*s[20])/7128 + (554183*s[21])/14256 + 
       (276707*s[22])/14256 + (358981*s[23])/792 - (279209*s[24])/7128 - 
       (1180441*s[25])/8019 + (1082011*s[26])/32076 + (3*s[30])/2 - s[31] + 
       (3*s[32])/2 + (15*s[33])/8 - (3*s[34])/2 + 3*s[37] - 18*s[39] + 
       24*s[40] - 12*s[41] + 33*s[42] + (102*s[43])/11 - (150*s[44])/11 + 
       (144*s[45])/11 - (1003*s[46])/11 + (199*s[47])/11 - (131*s[48])/11 - 
       (124*s[49])/11 + (204*s[50])/11 + (224*s[51])/11 + (293*s[52])/11 - 
       (254*s[53])/11 + (972*s[54])/11 - (1634*s[55])/11 - (1866*s[56])/11 + 
       (5743*s[57])/11 - (9541*s[58])/33 + (7753*s[59])/33 + 
       (11531*s[60])/33 - (2224*s[61])/33 + s[68] - 4*s[73] + 80*s[82] - 
       (3*s[83])/4 + (21*s[84])/2 + 22*s[85]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*Phi6[u, v, w]*(2*s[2] + (79*s[3])/2 + 
       (665*s[4])/4 + (8171*s[5])/44 + (9959*s[6])/22 + (959129*s[7])/264 - 
       (66623*s[8])/297 - (332659*s[9])/108 - (29081*s[10])/27 - 
       (1567567*s[11])/396 - (1673927*s[12])/396 - (495971*s[13])/198 - 
       (84655*s[14])/99 - (351745*s[15])/72 - (4932953*s[16])/792 - 
       (1993489*s[17])/396 - (231875*s[18])/324 - (89531*s[19])/162 - 
       (27190135*s[20])/3564 - (10140487*s[21])/3564 + (6739781*s[22])/3564 + 
       (2630233*s[23])/792 + (29243059*s[24])/7128 - (39077011*s[25])/8019 + 
       (22725739*s[26])/8019 - s[30] - 2*s[31] - (15*s[33])/4 + 5*s[34] - 
       s[35]/2 + (21*s[36])/4 - (37*s[37])/6 + (229*s[38])/4 - 
       (2959*s[39])/16 + (3467*s[40])/16 - (2653*s[41])/16 + 
       (3757*s[42])/16 + (41025*s[43])/176 - (73233*s[44])/352 + 
       (103073*s[45])/264 - (1242979*s[46])/528 + (653*s[47])/352 + 
       (73803*s[48])/352 - (348415*s[49])/352 + (19336*s[50])/11 + 
       (59735*s[51])/352 + (54181*s[52])/352 - (978613*s[53])/792 + 
       (3127*s[54])/66 - (8714041*s[55])/1056 - (7277621*s[56])/3168 + 
       (183955*s[57])/297 - (95966203*s[58])/28512 + (94310077*s[59])/28512 + 
       (125288851*s[60])/6336 - (305436601*s[61])/256608 + s[68] + 3*s[70] - 
       s[71] - s[72] + (3*s[73])/2 + s[74]/4 - s[75]/4 + 2*s[76] - s[77]/2 - 
       (9*s[78])/2 - 3*s[79] + (13*s[80])/6 + 80*s[82] - (3*s[83])/4 + 
       (21*s[84])/2 + 22*s[85]) + F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*((15*s[2])/4 + (191*s[3])/8 + (4489*s[4])/16 + 
       (17571*s[5])/88 + (87781*s[6])/176 + (14476621*s[7])/3168 - 
       (1762891*s[8])/4752 - (207361*s[9])/54 - (134035*s[10])/108 - 
       (15895531*s[11])/3168 - (4334117*s[12])/792 - (1148853*s[13])/352 - 
       (1877611*s[14])/3168 - (587441*s[15])/96 - (2048353*s[16])/264 - 
       (19092533*s[17])/3168 - (67084*s[18])/81 - (948743*s[19])/1296 - 
       (130315055*s[20])/14256 - (93738385*s[21])/28512 + 
       (68222969*s[22])/28512 + (226207*s[23])/44 + (36058991*s[24])/7128 - 
       (819064799*s[25])/128304 + (448254539*s[26])/128304 + s[30]/2 + 
       s[32]/2 + (3*s[34])/2 - (3*s[35])/2 - (53*s[36])/12 + (8*s[37])/3 + 
       (301*s[38])/4 - (5003*s[39])/16 + (16997*s[40])/48 - (4537*s[41])/16 + 
       (21619*s[42])/48 + (147967*s[43])/528 - (321503*s[44])/1056 + 
       (85867*s[45])/264 - (446561*s[46])/176 + (299113*s[47])/3168 + 
       (200575*s[48])/3168 - (4146211*s[49])/3168 + (130445*s[50])/66 + 
       (1003259*s[51])/3168 + (763121*s[52])/3168 - (359921*s[53])/264 + 
       (13*s[54])/11 - (3041431*s[55])/352 - (7015961*s[56])/3168 + 
       (2403763*s[57])/1188 - (110283823*s[58])/28512 + 
       (112192921*s[59])/28512 + (398247493*s[60])/19008 - 
       (283784269*s[61])/256608 + s[70] + s[72] - s[73]/2 - (7*s[74])/4 + 
       (7*s[75])/4 - (3*s[77])/2 + s[78]/2 + 25*s[79] - (49*s[80])/6 + 
       84*s[82] + 16*s[84] + 24*s[85]) + F1[v, w, u]*HPL[{0, 0, 1}, 1 - w]*
      ((9*s[2])/4 + (141*s[3])/8 + (6527*s[4])/16 + (22841*s[5])/88 + 
       (119299*s[6])/176 + (20130955*s[7])/3168 - (90139*s[8])/176 - 
       (64237*s[9])/12 - (6713*s[10])/4 - (7423123*s[11])/1056 - 
       (681579*s[12])/88 - (14806655*s[13])/3168 - (732859*s[14])/1056 - 
       (2405461*s[15])/288 - (4228339*s[16])/396 - (25622215*s[17])/3168 - 
       (60329*s[18])/54 - (442091*s[19])/432 - (59630339*s[20])/4752 - 
       (42432905*s[21])/9504 + (1177771*s[22])/352 + (5761147*s[23])/792 + 
       (1394167*s[24])/198 - (385331203*s[25])/42768 + 
       (207677395*s[26])/42768 - (5*s[30])/2 + s[32]/2 + (3*s[33])/4 + 
       s[34]/2 - (5*s[35])/2 - (23*s[36])/3 + 21*s[37] + 235*s[38] - 
       (7085*s[39])/8 + (24079*s[40])/24 - (6297*s[41])/8 + 
       (30029*s[42])/24 + (214457*s[43])/264 - (112357*s[44])/132 + 
       (20321*s[45])/22 - (1884935*s[46])/264 + (203941*s[47])/792 + 
       (84827*s[48])/396 - (2933131*s[49])/792 + (181987*s[50])/33 + 
       (87214*s[51])/99 + (558521*s[52])/792 - (1483235*s[53])/396 + 
       (5651*s[54])/132 - (3163909*s[55])/132 - (4983601*s[56])/792 + 
       (14458447*s[57])/2376 - (78644897*s[58])/7128 + 
       (39622855*s[59])/3564 + (281723437*s[60])/4752 - 
       (395575387*s[61])/128304 + 3*s[70] - s[71]/2 + s[72] - s[73] - 
       (13*s[74])/4 + (13*s[75])/4 - s[76] - (5*s[77])/2 + 96*s[79] - 
       27*s[80] + 111*s[82] + 3*s[83] + 30*s[84] + 36*s[85]) + 
     F1[v, w, u]*HPL[{0, 0, 1}, 1 - u]*((29*s[2])/4 + (197*s[3])/8 + 
       (7783*s[4])/16 + (26855*s[5])/88 + (141923*s[6])/176 + 
       (23429719*s[7])/3168 - (3115429*s[8])/4752 - (669683*s[9])/108 - 
       (196567*s[10])/108 - (26152129*s[11])/3168 - (914314*s[12])/99 - 
       (5893201*s[13])/1056 - (1835437*s[14])/3168 - (908731*s[15])/96 - 
       (405508*s[16])/33 - (28572311*s[17])/3168 - (434917*s[18])/324 - 
       (1432457*s[19])/1296 - (204356165*s[20])/14256 - 
       (145174231*s[21])/28512 + (110674367*s[22])/28512 + 
       (606407*s[23])/66 + (56891165*s[24])/7128 - (1368800909*s[25])/
        128304 + (729475325*s[26])/128304 - 4*s[29] + (5*s[30])/2 + 2*s[31] + 
       s[32] + s[33] - (9*s[34])/2 - (9*s[35])/2 - (56*s[36])/3 + 
       (129*s[37])/4 + 305*s[38] - (9223*s[39])/8 + (30397*s[40])/24 - 
       (7779*s[41])/8 + (39083*s[42])/24 + (23977*s[43])/24 - 
       (25147*s[44])/24 + (9007*s[45])/8 - (105371*s[46])/12 + 
       (29789*s[47])/72 + (4579*s[48])/36 - (330143*s[49])/72 + 
       (19985*s[50])/3 + (10109*s[51])/9 + (33215*s[52])/36 - 
       (329063*s[53])/72 + (1609*s[54])/12 - (173587*s[55])/6 - 
       (553583*s[56])/72 + (1879691*s[57])/216 - (1127417*s[58])/81 + 
       (2262925*s[59])/162 + (1932845*s[60])/27 - (22176841*s[61])/5832 - 
       s[65] - 2*s[66] + 4*s[67] + 5*s[68] + 5*s[69] + 3*s[70] + s[71]/2 + 
       5*s[72] - 9*s[73] - (21*s[74])/4 + (21*s[75])/4 - 7*s[76] - 
       (3*s[77])/2 + 9*s[78] + 62*s[79] - (33*s[80])/2 + 111*s[82] + 
       3*s[83] + 30*s[84] + 36*s[85]) + F1[v, w, u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((-5*s[2])/4 - (155*s[3])/8 - (117*s[4])/16 - 
       (357*s[5])/88 + (3219*s[6])/176 + (899923*s[7])/3168 - 
       (103045*s[8])/4752 - (13957*s[9])/54 - (9605*s[10])/54 - 
       (753829*s[11])/3168 - (143423*s[12])/792 - (47969*s[13])/1056 - 
       (760357*s[14])/3168 - (49327*s[15])/96 - (51727*s[16])/88 - 
       (2076203*s[17])/3168 - (4255*s[18])/324 - (104393*s[19])/1296 - 
       (11650301*s[20])/14256 - (6742159*s[21])/28512 + 
       (4547495*s[22])/28512 - (41539*s[23])/132 + (3012137*s[24])/7128 - 
       (30478997*s[25])/128304 + (19163369*s[26])/128304 + (11*s[30])/2 - 
       2*s[31] - 2*s[32] - (5*s[33])/4 + (11*s[34])/2 - (11*s[35])/2 - 
       s[36]/6 - (179*s[37])/12 - (23*s[38])/2 - (187*s[39])/4 + 
       (983*s[40])/12 - 99*s[41] + (1123*s[42])/12 + (941*s[43])/12 - 
       (5117*s[44])/48 + (3691*s[45])/24 - (27551*s[46])/24 - 
       (5219*s[47])/144 + (16465*s[48])/144 - (62023*s[49])/144 + 
       (12641*s[50])/12 + (10889*s[51])/144 + (1025*s[52])/144 - 
       (53251*s[53])/72 - (1123*s[54])/12 - (75729*s[55])/16 - 
       (53611*s[56])/48 - (66191*s[57])/72 - (19361*s[58])/16 + 
       (186691*s[59])/144 + (9035887*s[60])/864 - (2278655*s[61])/3888 + 
       s[68] + 2*s[70] + s[72] - (3*s[74])/4 + (3*s[75])/4 + s[76] - 
       (3*s[77])/2 - 3*s[78] + 39*s[79] - (95*s[80])/6 + 155*s[82] - 
       (3*s[83])/4 + (45*s[84])/2 + 40*s[85]) + F1[v, w, u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*((-5*s[2])/4 - (193*s[3])/8 + (1653*s[4])/16 + 
       (8331*s[5])/88 + (37665*s[6])/176 + (6808213*s[7])/3168 - 
       (791371*s[8])/4752 - (49844*s[9])/27 - (71281*s[10])/108 - 
       (7258243*s[11])/3168 - (1910927*s[12])/792 - (1461983*s[13])/1056 - 
       (1409803*s[14])/3168 - (288601*s[15])/96 - (328775*s[16])/88 - 
       (9792077*s[17])/3168 - (122791*s[18])/324 - (424067*s[19])/1296 - 
       (64446131*s[20])/14256 - (46389721*s[21])/28512 + 
       (32821889*s[22])/28512 + (67424*s[23])/33 + (17062211*s[24])/7128 - 
       (362676515*s[25])/128304 + (204691703*s[26])/128304 + s[30]/2 - 
       3*s[32] + (3*s[34])/2 - (5*s[35])/2 - (20*s[36])/3 - (77*s[37])/12 + 
       (65*s[38])/2 - (1697*s[39])/8 + (6259*s[40])/24 - (1879*s[41])/8 + 
       (7823*s[42])/24 + (58493*s[43])/264 - (17015*s[44])/66 + 
       (91181*s[45])/264 - (332609*s[46])/132 + (17947*s[47])/792 + 
       (26011*s[48])/198 - (862429*s[49])/792 + (137195*s[50])/66 + 
       (46349*s[51])/198 + (109943*s[52])/792 - (1163663*s[53])/792 - 
       (7819*s[54])/66 - (1241279*s[55])/132 - (210277*s[56])/88 + 
       (360949*s[57])/792 - (1013048*s[58])/297 + (2096245*s[59])/594 + 
       (51011165*s[60])/2376 - (8543615*s[61])/7128 + 2*s[68] - s[69] + 
       2*s[70] + s[72] - 5*s[73] - (9*s[74])/4 + (9*s[75])/4 + s[76] - 
       s[77]/2 + 48*s[79] - (95*s[80])/6 + 155*s[82] - (3*s[83])/4 + 
       (45*s[84])/2 + 40*s[85]) + F1[u, v, w]*HPL[{0, 1, 1}, 1 - u]*
      (-48*s[3] - 139*s[4] - (1003*s[5])/11 - (2830*s[6])/11 - 
       (63797*s[7])/33 + (14881*s[8])/99 + (28597*s[9])/18 + (4102*s[10])/9 + 
       (72233*s[11])/33 + (80743*s[12])/33 + (16679*s[13])/11 + 
       (11263*s[14])/66 + 2470*s[15] + (35396*s[16])/11 + (78352*s[17])/33 + 
       (9811*s[18])/27 + (8516*s[19])/27 + (2205097*s[20])/594 + 
       (407123*s[21])/297 - (586037*s[22])/594 - (53367*s[23])/22 - 
       (634669*s[24])/297 + (15129769*s[25])/5346 - (8250421*s[26])/5346 - 
       2*s[32] + (3*s[33])/2 - 12*s[37] - 96*s[38] + 312*s[39] - 336*s[40] + 
       240*s[41] - 420*s[42] - (3048*s[43])/11 + (2976*s[44])/11 - 
       (3216*s[45])/11 + (24098*s[46])/11 - (1236*s[47])/11 - 
       (444*s[48])/11 + (13344*s[49])/11 - (17448*s[50])/11 - 
       (3096*s[51])/11 - (2844*s[52])/11 + (11928*s[53])/11 - 
       (1116*s[54])/11 + (76496*s[55])/11 + (20796*s[56])/11 - 
       (28626*s[57])/11 + (39972*s[58])/11 - (39876*s[59])/11 - 
       (195848*s[60])/11 + (91940*s[61])/99 - 2*s[68] + 8*s[73] + 160*s[82] - 
       (3*s[83])/2 + 21*s[84] + 44*s[85]) + F1[w, u, v]*HPL[{0, 1, 1}, 1 - w]*
      ((15*s[2])/2 - (115*s[3])/4 + (961*s[4])/8 + (321*s[5])/2 + 
       (3217*s[6])/8 + (171827*s[7])/48 - (16217*s[8])/72 - (27739*s[9])/9 - 
       (44051*s[10])/36 - (182837*s[11])/48 - (47365*s[12])/12 - 
       (36713*s[13])/16 - (50057*s[14])/48 - (239495*s[15])/48 - 
       (12481*s[16])/2 - (253627*s[17])/48 - (16907*s[18])/27 - 
       (130535*s[19])/216 - (1672585*s[20])/216 - (1225823*s[21])/432 + 
       (821371*s[22])/432 + 2424*s[23] + (455695*s[24])/108 - 
       (8917519*s[25])/1944 + (5226007*s[26])/1944 - 2*s[30] - 2*s[31] + 
       s[32] - (19*s[33])/4 + 10*s[34] - 2*s[35] + (17*s[36])/2 - 
       (91*s[37])/6 - (73*s[38])/2 + (595*s[39])/8 - (359*s[40])/8 + 
       s[41]/8 - (749*s[42])/8 + (923*s[43])/88 - (1649*s[44])/176 + 
       (6707*s[45])/66 - (140963*s[46])/264 - (57125*s[47])/528 + 
       (100681*s[48])/528 - (34105*s[49])/528 + (6311*s[50])/11 - 
       (28003*s[51])/528 - (47413*s[52])/528 - (39557*s[53])/99 - 
       (3856*s[54])/33 - (1460161*s[55])/528 - (1026841*s[56])/1584 - 
       (2345639*s[57])/1188 - (1945355*s[58])/14256 + (2688557*s[59])/14256 + 
       (2055763*s[60])/352 - (45107981*s[61])/128304 - 2*s[68] + 4*s[70] + 
       s[73] + s[74] - s[75] + 4*s[76] - 2*s[77] - 5*s[78] + 46*s[79] - 
       (64*s[80])/3 + 160*s[82] - (3*s[83])/2 + 21*s[84] + 44*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      (15*s[2] + (217*s[3])/4 + (5959*s[4])/8 + (28367*s[5])/44 + 
       (134623*s[6])/88 + (21593729*s[7])/1584 - (2432651*s[8])/2376 - 
       (311600*s[9])/27 - (101887*s[10])/27 - (23646539*s[11])/1584 - 
       (3201485*s[12])/198 - (5099267*s[13])/528 - (3433535*s[14])/1584 - 
       (876949*s[15])/48 - (3057709*s[16])/132 - (28797781*s[17])/1584 - 
       (824269*s[18])/324 - (1340503*s[19])/648 - (196742413*s[20])/7128 - 
       (144411617*s[21])/14256 + (102072085*s[22])/14256 + 
       (482950*s[23])/33 + (53749459*s[24])/3564 - (1204768789*s[25])/64152 + 
       (674621125*s[26])/64152 + s[30] + 4*s[31] + s[33]/2 - 4*s[34] - 
       4*s[35] - 24*s[36] + (64*s[37])/3 + (823*s[38])/2 - (6431*s[39])/4 + 
       (7295*s[40])/4 - 1433*s[41] + 2276*s[42] + (67109*s[43])/44 - 
       (17355*s[44])/11 + (249841*s[45])/132 - (923129*s[46])/66 + 
       (14074*s[47])/33 + (63193*s[48])/132 - (228760*s[49])/33 + 
       (474789*s[50])/44 + (34557*s[51])/22 + (166625*s[52])/132 - 
       (5924005*s[53])/792 + (4495*s[54])/66 - (3166729*s[55])/66 - 
       (1250233*s[56])/99 + (12005635*s[57])/1188 - (18905330*s[58])/891 + 
       (19147709*s[59])/891 + (3827455*s[60])/33 - (401981053*s[61])/64152 - 
       2*s[68] + 4*s[70] - s[71] + 4*s[72] - (11*s[74])/2 + (11*s[75])/2 - 
       6*s[76] - 4*s[77] + 4*s[78] + 132*s[79] - (94*s[80])/3 + 372*s[82] + 
       s[83] + 62*s[84] + 96*s[85]) + HPL[{1}, 1 - u]^2*Phi6[u, v, w]*
      (35*s[82] + (3*s[83])/4 + (3*s[84])/2)*\[Zeta][2] + 
     HPL[{1}, 1 - w]^2*Phi6[u, v, w]*(-3*s[2] - (7*s[3])/4 + (809*s[4])/8 - 
       (1525*s[5])/22 - (3485*s[6])/88 + (39661*s[7])/176 - 
       (138365*s[8])/2376 - (10307*s[9])/108 - (12049*s[10])/108 - 
       (510263*s[11])/1584 - (83519*s[12])/198 - (438749*s[13])/1584 + 
       (626881*s[14])/1584 - (54055*s[15])/144 - (205133*s[16])/396 - 
       (434309*s[17])/1584 + (57179*s[18])/324 - (232255*s[19])/648 - 
       (565393*s[20])/7128 + (3563035*s[21])/14256 + (1596289*s[22])/14256 + 
       (81409*s[23])/396 + (2052349*s[24])/3564 - (20385071*s[25])/32076 + 
       (1045799*s[26])/32076 - 2*s[29] + s[30] - s[31] - s[32] - s[33] - 
       s[35] - (5*s[36])/2 - (73*s[37])/6 + (25*s[38])/2 - (723*s[39])/8 + 
       (775*s[40])/8 - (809*s[41])/8 + (1093*s[42])/8 + (6329*s[43])/88 - 
       (19221*s[44])/176 - (2150*s[45])/33 - (51257*s[46])/264 - 
       (1565*s[47])/528 + (20941*s[48])/528 - (259393*s[49])/528 + 
       (5975*s[50])/22 + (13427*s[51])/176 + (6491*s[52])/528 - 
       (27283*s[53])/198 - (14615*s[54])/66 - (246041*s[55])/528 + 
       (424751*s[56])/1584 + (54569*s[57])/594 - (972743*s[58])/14256 + 
       (3844301*s[59])/14256 + (757667*s[60])/352 + (14624029*s[61])/128304 - 
       s[65]/2 - 2*s[66] + 2*s[67] - s[68] + 7*s[69] + s[71]/2 + 2*s[72] - 
       4*s[73] - 2*s[74] + 2*s[75] + 2*s[76] - 4*s[77] + 3*s[78] + 3*s[79] - 
       (10*s[80])/3 + 35*s[82] + (3*s[83])/4 + (3*s[84])/2)*\[Zeta][2] + 
     HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*((27*s[2])/2 - (39*s[3])/2 - 
       (29*s[4])/4 + (1075*s[5])/22 + (6217*s[6])/44 + (22786*s[7])/33 - 
       (85345*s[8])/1188 - (60785*s[9])/108 - (3940*s[10])/27 - 
       (82091*s[11])/99 - (98611*s[12])/99 - (120679*s[13])/198 - 
       (76559*s[14])/396 - (20377*s[15])/36 - (405305*s[16])/396 - 
       (267353*s[17])/396 - (56035*s[18])/324 - (1031*s[19])/81 - 
       (1159148*s[20])/891 - (2140175*s[21])/3564 + (1244497*s[22])/3564 + 
       (268957*s[23])/396 + (2592253*s[24])/3564 - (62650369*s[25])/64152 + 
       (40010581*s[26])/64152 - 4*s[29] - 3*s[30] - 2*s[31] + 6*s[32] - 
       (51*s[33])/4 + 11*s[34] + (25*s[37])/2 + 61*s[38] - (415*s[39])/2 + 
       (465*s[40])/2 - (315*s[41])/2 + 288*s[42] + (3699*s[43])/22 - 
       (7571*s[44])/44 + (1920*s[45])/11 - (28613*s[46])/22 + 
       (4457*s[47])/44 + (299*s[48])/44 - (32401*s[49])/44 + 
       (9859*s[50])/11 + (26347*s[51])/132 + (8473*s[52])/44 - 
       (18806*s[53])/33 + (1421*s[54])/11 - (482375*s[55])/132 - 
       (153481*s[56])/132 + (239689*s[57])/99 - (2863493*s[58])/1188 + 
       (2689343*s[59])/1188 + (2665367*s[60])/264 - (6156155*s[61])/10692 + 
       s[68] + 3*s[69] - 2*s[70] - 14*s[73] - 6*s[76] + 9*s[77] - 309*s[82] - 
       20*s[85])*\[Zeta][2] + HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      (-60*s[2] - 44*s[3] - 291*s[4] - (9595*s[5])/44 - (26355*s[6])/44 - 
       (1498367*s[7])/264 + (361385*s[8])/1188 + (126883*s[9])/27 + 
       (228677*s[10])/108 + (4869323*s[11])/792 + (2464943*s[12])/396 + 
       (2920295*s[13])/792 + (872411*s[14])/792 + (617839*s[15])/72 + 
       (2079377*s[16])/198 + (7372829*s[17])/792 + (44936*s[18])/81 + 
       (565579*s[19])/324 + (41743777*s[20])/3564 + (29196911*s[21])/7128 - 
       (20974513*s[22])/7128 - (299624*s[23])/99 - (13352173*s[24])/1782 + 
       (245410261*s[25])/32076 - (133406629*s[26])/32076 + 4*s[29] - 
       12*s[30] - 8*s[31] + 18*s[32] - (11*s[33])/4 + 21*s[34] + 9*s[35] + 
       (27*s[36])/2 + (235*s[37])/6 - (81*s[38])/2 + (1163*s[39])/8 - 
       (1247*s[40])/8 + (1481*s[41])/8 - (1133*s[42])/8 - (32685*s[43])/88 + 
       (48635*s[44])/176 - (27809*s[45])/66 + (743597*s[46])/264 + 
       (42461*s[47])/176 - (90265*s[48])/176 + (321769*s[49])/176 - 
       (55145*s[50])/22 + (4195*s[51])/176 + (16309*s[52])/176 + 
       (731033*s[53])/396 + (47285*s[54])/66 + (6148619*s[55])/528 + 
       (3178915*s[56])/1584 + (4747439*s[57])/1188 + (33285089*s[58])/14256 - 
       (45605999*s[59])/14256 - (86295521*s[60])/3168 + 
       (150937763*s[61])/128304 + 2*s[65] + 4*s[66] - 8*s[67] + 2*s[68] - 
       28*s[69] - 8*s[70] - 4*s[72] + 35*s[73] - 4*s[74] + 4*s[75] - 
       2*s[76] + 24*s[77] - 13*s[78] + 56*s[79] - (98*s[80])/3 - 309*s[82] - 
       20*s[85])*\[Zeta][2] + F1[v, w, u]*HPL[{1}, 1 - u]*
      (-158*s[82] + 4*s[85])*\[Zeta][2] + F1[v, w, u]*HPL[{1}, 1 - w]*
      ((-173*s[2])/2 + (243*s[3])/4 - (1105*s[4])/8 - (21645*s[5])/44 - 
       (65661*s[6])/88 - (3670685*s[7])/528 + (43067*s[8])/264 + 
       (73301*s[9])/12 + (15287*s[10])/6 + (1302837*s[11])/176 + 
       (317211*s[12])/44 + (2269345*s[13])/528 + (376817*s[14])/176 + 
       (500375*s[15])/48 + (1640197*s[16])/132 + (6029645*s[17])/528 + 
       (37859*s[18])/36 + (114341*s[19])/72 + (11831741*s[20])/792 + 
       (1042835*s[21])/176 - (5853715*s[22])/1584 - (109976*s[23])/33 - 
       (3402805*s[24])/396 + (2567008*s[25])/297 - (3167795*s[26])/594 - 
       12*s[29] + 6*s[30] - 28*s[31] + 14*s[32] - (13*s[33])/4 + 42*s[34] - 
       6*s[35] + (57*s[36])/2 - 10*s[37] - (209*s[38])/2 + (1371*s[39])/8 - 
       (1679*s[40])/8 + (1313*s[41])/8 - (893*s[42])/8 - (40693*s[43])/88 + 
       (48503*s[44])/176 - (30379*s[45])/44 + (328965*s[46])/88 + 
       (130639*s[47])/528 - (283907*s[48])/528 + (997163*s[49])/528 - 
       (33089*s[50])/11 + (2993*s[51])/528 - (16237*s[52])/528 + 
       (294307*s[53])/132 + (6108*s[54])/11 + (2632217*s[55])/176 + 
       (581035*s[56])/176 + (385339*s[57])/132 + (6578285*s[58])/1584 - 
       (7658327*s[59])/1584 - (109323581*s[60])/3168 + (7870075*s[61])/4752 - 
       2*s[65] - 8*s[66] + 12*s[67] + 12*s[68] + 6*s[69] + 3*s[71] + 
       12*s[72] + 29*s[73] - 9*s[74] + 9*s[75] + 30*s[76] + 4*s[77] - 
       15*s[78] - 14*s[79] - 7*s[80] - 158*s[82] + 4*s[85])*\[Zeta][2] + 
     F1[w, u, v]*HPL[{1}, 1 - u]*(48*s[82] + 8*s[85])*\[Zeta][2] + 
     F1[u, v, w]*HPL[{1}, 1 - w]*(3*s[2] + 32*s[3] + 77*s[4] + (65*s[5])/11 + 
       (2439*s[6])/22 + (57445*s[7])/66 - (15347*s[8])/198 - (6053*s[9])/9 - 
       (5129*s[10])/18 - (125705*s[11])/132 - (133633*s[12])/132 - 
       (13527*s[13])/22 - (4945*s[14])/66 - (7543*s[15])/6 - 
       (34641*s[16])/22 - (172735*s[17])/132 - (2329*s[18])/27 - 
       (7214*s[19])/27 - (1003495*s[20])/594 - (150050*s[21])/297 + 
       (255623*s[22])/594 + (30607*s[23])/44 + (1339279*s[24])/1188 - 
       (13654415*s[25])/10692 + (6603275*s[26])/10692 - s[32] - 9*s[37] + 
       5*s[38] - (135*s[39])/2 + (171*s[40])/2 - 81*s[41] + 107*s[42] + 
       (1809*s[43])/22 - (4119*s[44])/44 + (417*s[45])/11 - 
       (11007*s[46])/22 - (322*s[47])/33 + (3811*s[48])/66 - 
       (13004*s[49])/33 + (4779*s[50])/11 + (2342*s[51])/33 + 
       (4129*s[52])/132 - (3288*s[53])/11 - (855*s[54])/22 - 
       (19299*s[55])/11 - (9472*s[56])/33 - (8785*s[57])/198 - 
       (165701*s[58])/297 + (394375*s[59])/594 + (872645*s[60])/198 - 
       (1722227*s[61])/10692 - 2*s[68] + 2*s[69] - 2*s[77] + 48*s[82] + 
       8*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Phi6[u, v, w]*
      (-22*s[82] - (3*s[83])/2 - 3*s[84] + 8*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Phi6[u, v, w]*(-13*s[2] + (159*s[3])/2 - 
       (43*s[4])/4 - (12*s[5])/11 + (4977*s[6])/44 - (70685*s[7])/264 - 
       (18539*s[8])/396 + (2474*s[9])/9 + (2485*s[10])/9 + 
       (86389*s[11])/264 + (33853*s[12])/132 + (35357*s[13])/264 - 
       (24389*s[14])/264 + (5177*s[15])/8 + (23284*s[16])/33 + 
       (62585*s[17])/88 - (5429*s[18])/27 + (45461*s[19])/108 + 
       (633725*s[20])/1188 + (191089*s[21])/2376 - (481505*s[22])/2376 + 
       (96727*s[23])/132 - (939019*s[24])/1188 + (2118559*s[25])/5346 - 
       (340105*s[26])/5346 - 4*s[31] + 7*s[32] - (5*s[33])/2 + 8*s[34] + 
       9*s[36] + 3*s[37] - 17*s[38] + (37*s[39])/4 + (23*s[40])/4 + 
       (43*s[41])/4 + (89*s[42])/4 - (1607*s[43])/44 + (3213*s[44])/88 - 
       s[45]/11 + (7785*s[46])/44 + (18247*s[47])/264 - (28943*s[48])/264 + 
       (96971*s[49])/264 - (6227*s[50])/22 + (14413*s[51])/264 + 
       (20633*s[52])/264 + (5173*s[53])/33 + (4957*s[54])/11 + 
       (85045*s[55])/88 - (49519*s[56])/264 + (103820*s[57])/99 - 
       (473405*s[58])/2376 - (162733*s[59])/2376 - (4747601*s[60])/1584 - 
       (1769297*s[61])/21384 + 2*s[68] - 4*s[69] + 8*s[73] + s[74] - s[75] + 
       4*s[76] + 2*s[77] - 6*s[78] - 6*s[79] - 2*s[80] - 22*s[82] - 
       (3*s[83])/2 - 3*s[84] + 8*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Phi6[u, v, w]*(6*s[2] - (111*s[3])/2 - 
       99*s[4] + (235*s[5])/44 - (885*s[6])/44 - (123553*s[7])/264 + 
       (34541*s[8])/1188 + (20207*s[9])/54 + (10427*s[10])/108 + 
       (405827*s[11])/792 + (56123*s[12])/99 + (300929*s[13])/792 - 
       (119047*s[14])/792 + (55081*s[15])/72 + (167339*s[16])/198 + 
       (449549*s[17])/792 + (5390*s[18])/81 + (41635*s[19])/324 + 
       (2851375*s[20])/3564 + (1210493*s[21])/7128 - (1706215*s[22])/7128 - 
       (411665*s[23])/396 - (1638779*s[24])/3564 + (6380815*s[25])/8019 - 
       (5039783*s[26])/16038 - 4*s[29] - 3*s[30] - 2*s[31] - 2*s[32] - 
       (51*s[33])/4 + 11*s[34] - s[35] + s[36] + (77*s[37])/6 - 29*s[38] + 
       (151*s[39])/2 - (201*s[40])/2 + 101*s[41] - (223*s[42])/2 - 
       (775*s[43])/22 + (7149*s[44])/88 - (3695*s[45])/132 + 
       (34571*s[46])/132 - (4409*s[47])/264 - (2429*s[48])/264 + 
       (76763*s[49])/264 - (6137*s[50])/22 - (9967*s[51])/88 - 
       (14473*s[52])/264 + (60013*s[53])/396 + (4567*s[54])/66 + 
       (267893*s[55])/264 + (48919*s[56])/792 - (646307*s[57])/1188 + 
       (3091775*s[58])/7128 - (3962093*s[59])/7128 - (3611431*s[60])/1584 + 
       (1973879*s[61])/64152 - s[65] - 2*s[66] + 4*s[67] + 4*s[68] + 
       6*s[69] + 2*s[70] + 3*s[71] + 2*s[72] + (5*s[74])/2 - (5*s[75])/2 + 
       2*s[76] + s[77] - 2*s[78] - 4*s[79] - (73*s[80])/3 + 92*s[82] + 
       16*s[85])*\[Zeta][2] + F1[u, v, w]*HPL[{1}, 1 - u]*
      (294*s[82] + 20*s[85])*\[Zeta][2] + F1[w, u, v]*HPL[{1}, 1 - w]*
      ((133*s[2])/2 - (51*s[3])/4 + (2403*s[4])/8 + (12743*s[5])/44 + 
       (60515*s[6])/88 + (3346841*s[7])/528 - (697777*s[8])/2376 - 
       (288695*s[9])/54 - (120625*s[10])/54 - (10932505*s[11])/1584 - 
       (2785217*s[12])/396 - (6661639*s[13])/1584 - (2123425*s[14])/1584 - 
       (1341893*s[15])/144 - (1132183*s[16])/99 - (15834679*s[17])/1584 - 
       (60659*s[18])/81 - (1111997*s[19])/648 - (93170789*s[20])/7128 - 
       (67244611*s[21])/14256 + (47361923*s[22])/14256 + 
       (1485491*s[23])/396 + (7226594*s[24])/891 - (545040761*s[25])/64152 + 
       (302788085*s[26])/64152 - 3*s[30] + 14*s[31] - 11*s[32] + 
       (3*s[33])/2 - 21*s[34] + 3*s[35] + (3*s[36])/2 - (34*s[37])/3 + 
       (179*s[38])/2 - (2417*s[39])/8 + (2773*s[40])/8 - (2547*s[41])/8 + 
       (2859*s[42])/8 + (42479*s[43])/88 - (69803*s[44])/176 + 
       (64475*s[45])/132 - (930517*s[46])/264 - (79019*s[47])/528 + 
       (259627*s[48])/528 - (1197079*s[49])/528 + (32166*s[50])/11 + 
       (27437*s[51])/176 + (34685*s[52])/528 - (205549*s[53])/99 - 
       (37249*s[54])/66 - (2323881*s[55])/176 - (4179599*s[56])/1584 - 
       (479140*s[57])/297 - (55428553*s[58])/14256 + (65529847*s[59])/14256 + 
       (102310865*s[60])/3168 - (175094575*s[61])/128304 - 8*s[68] + 
       16*s[69] + 2*s[70] - 2*s[72] - 29*s[73] + (9*s[74])/2 - (9*s[75])/2 - 
       12*s[76] - 9*s[77] + 13*s[78] + 14*s[79] + (19*s[80])/3 + 294*s[82] + 
       20*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*Phi6[u, v, w]*
      (-140*s[82] - 24*s[85])*\[Zeta][3] + HPL[{1}, 1 - w]*Phi6[u, v, w]*
      (-8*s[2] - (73*s[3])/2 - (159*s[4])/4 - (6973*s[5])/44 - 
       (3213*s[6])/11 - (1939859*s[7])/792 + (46559*s[8])/594 + 
       (225137*s[9])/108 + (109411*s[10])/108 + (2003563*s[11])/792 + 
       (474425*s[12])/198 + (1076345*s[13])/792 + (826987*s[14])/792 + 
       (276043*s[15])/72 + (1812721*s[16])/396 + (1158257*s[17])/264 + 
       (140593*s[18])/324 + (178973*s[19])/324 + (20189705*s[20])/3564 + 
       (15775303*s[21])/7128 - (9032753*s[22])/7128 - (78230*s[23])/99 - 
       (2820523*s[24])/891 + (185108365*s[25])/64152 - 
       (120762973*s[26])/64152 - 4*s[29] + 2*s[30] + s[32] + (3*s[33])/2 - 
       4*s[34] - 2*s[35] - (5*s[36])/3 + (33*s[37])/2 - 10*s[38] + 
       (27*s[39])/4 - (445*s[40])/12 + (175*s[41])/4 + (199*s[42])/12 - 
       (15215*s[43])/132 + (22783*s[44])/264 - (10889*s[45])/44 + 
       (84631*s[46])/66 + (99073*s[47])/792 - (218453*s[48])/792 + 
       (417605*s[49])/792 - (72679*s[50])/66 + (33611*s[51])/792 + 
       (28583*s[52])/792 + (79426*s[53])/99 + (6416*s[54])/33 + 
       (487629*s[55])/88 + (1000907*s[56])/792 + (1038595*s[57])/594 + 
       (8764639*s[58])/7128 - (10263427*s[59])/7128 - (57790493*s[60])/4752 + 
       (10904233*s[61])/16038 - s[65] - 2*s[66] + 2*s[67] + 8*s[68] - 
       2*s[70] + s[71] + 4*s[72] - 2*s[74] + 2*s[75] + 4*s[77] + 4*s[78] - 
       s[80] - 140*s[82] - 24*s[85])*\[Zeta][3]
 
SuvwCoproductEntries[1 - w] = C1[w, v, u]*s[3] + A7[w, u, v]*HPL[{1}, 1 - u]*
      s[12] - A7[w, u, v]*HPL[{1}, 1 - v]*s[12] + C7[v, w, u]*s[24] + 
     C13[u, w, v]*((-2*s[21])/3 + (2*s[26])/3) + C22[v, w, u]*s[30] + 
     C14[u, w, v]*s[32] + C5[w, u, v]*s[35] + C3[w, u, v]*s[36] + 
     A7[v, w, u]*HPL[{1}, 1 - u]*s[38] - A7[v, w, u]*HPL[{1}, 1 - v]*s[38] + 
     C4[w, u, v]*s[40] + A6[w, u, v]*HPL[{1}, 1 - u]*
      (-s[6] + s[10] - s[49]) + A6[w, u, v]*HPL[{1}, 1 - v]*
      (s[6] - s[10] + s[49]) - A2[u, w, v]*HPL[{1}, 1 - u]*s[51] + 
     A2[u, w, v]*HPL[{1}, 1 - v]*s[51] + A3[w, u, v]*HPL[{1}, 1 - u]*
      (-2*s[51] - s[55]) + C6[w, u, v]*s[55] + A3[w, u, v]*HPL[{1}, 1 - v]*
      (2*s[51] + s[55]) + C8[w, u, v]*s[57] + C7[w, u, v]*s[58] + 
     C2[w, u, v]*s[59] + C2[v, w, u]*s[60] + 
     C2[w, v, u]*(-s[16] - s[17] + s[59] + s[60]) + 
     C9[v, w, u]*(s[24] + 2*s[60]) + C9[w, u, v]*(-s[14] - s[20] - 3*s[23] - 
       s[55] - 3*s[57] + s[58] - s[59] + 2*s[60]) + 
     A10[w, u, v]*HPL[{1}, 1 - v]*(6*s[5] + 8*s[6] + 64*s[7] - (8*s[8])/3 - 
       (176*s[9])/3 - (64*s[10])/3 - 64*s[11] - 58*s[12] - 32*s[13] - 
       28*s[14] - 96*s[15] - 108*s[16] - 104*s[17] - (184*s[18])/9 - 
       (8*s[19])/9 - (1312*s[20])/9 - (616*s[21])/9 + (308*s[22])/9 + 
       76*s[23] + (374*s[24])/9 - (5485*s[25])/81 + (4387*s[26])/81 - 
       2*s[38] - 8*s[39] + 8*s[40] - 8*s[41] + 16*s[42] - 6*s[44] + 8*s[45] - 
       64*s[46] + 8*s[47] - 16*s[48] - 10*s[49] + 56*s[50] - 2*s[52] - 
       40*s[53] - (728*s[55])/3 - 70*s[56] + 126*s[57] - (398*s[58])/3 + 
       (374*s[59])/3 + (1253*s[60])/3 - (367*s[61])/9) + 
     H1[v, w, u]*HPL[{1}, 1 - v]^2*((27*s[5])/11 + (63*s[6])/44 + 
       (2037*s[7])/88 - (27*s[8])/22 - (81*s[9])/4 - 9*s[10] - 
       (459*s[11])/22 - (747*s[12])/44 - (327*s[13])/44 - (265*s[14])/22 - 
       (351*s[15])/8 - (3777*s[16])/88 - (1047*s[17])/22 - (13*s[18])/4 - 
       (23*s[19])/4 - (2479*s[20])/44 - (232*s[21])/11 + (755*s[22])/66 + 
       (643*s[23])/88 + (6899*s[24])/264 - (28453*s[25])/1188 + 
       (4933*s[26])/297 + s[35]/2 - s[36]/2 + (27*s[43])/22 - (27*s[44])/44 + 
       (54*s[45])/11 - (513*s[46])/22 - (37*s[47])/44 - (15*s[48])/44 - 
       (219*s[49])/44 + (225*s[50])/11 - (5*s[51])/44 - (39*s[52])/44 - 
       (843*s[53])/44 + (18*s[54])/11 - (2793*s[55])/22 - (1017*s[56])/44 - 
       (4285*s[57])/66 - (5111*s[58])/396 + (9341*s[59])/396 + 
       (55009*s[60])/264 - (46061*s[61])/3564) + A5[u, v, w]*HPL[{1}, 1 - u]*
      ((5*s[5])/2 + (5*s[6])/2 + 23*s[7] - (19*s[8])/18 - (361*s[9])/18 - 
       (143*s[10])/18 - (131*s[11])/6 - (115*s[12])/6 - (28*s[13])/3 - 
       (34*s[14])/3 - (233*s[15])/6 - (124*s[16])/3 - (127*s[17])/3 - 
       (359*s[18])/54 - (35*s[19])/27 - (1465*s[20])/27 - (1313*s[21])/54 + 
       (314*s[22])/27 + (65*s[23])/3 + (614*s[24])/27 - (22567*s[25])/972 + 
       (18175*s[26])/972 - (3*s[39])/2 + (3*s[40])/2 - (3*s[41])/2 + 
       (5*s[42])/2 + (3*s[43])/2 - (5*s[44])/4 + (7*s[45])/2 - 23*s[46] + 
       (7*s[47])/12 - (11*s[48])/12 - (73*s[49])/12 + 18*s[50] + 
       (17*s[51])/12 + (11*s[52])/12 - (47*s[53])/3 + 4*s[54] - 
       (399*s[55])/4 - (101*s[56])/4 - 11*s[57] - (1013*s[58])/36 + 
       (1169*s[59])/36 + (12985*s[60])/72 - (2045*s[61])/162) + 
     H1[v, w, u]*HPL[{1}, 1 - u]^2*((27*s[5])/11 + (63*s[6])/44 + 
       (2037*s[7])/88 - (27*s[8])/22 - (81*s[9])/4 - 9*s[10] - 
       (459*s[11])/22 - (747*s[12])/44 - (327*s[13])/44 - (265*s[14])/22 - 
       (351*s[15])/8 - (3777*s[16])/88 - (1047*s[17])/22 - (13*s[18])/4 - 
       (23*s[19])/4 - (2479*s[20])/44 - (232*s[21])/11 + (755*s[22])/66 + 
       (555*s[23])/88 + (2549*s[24])/88 - (28255*s[25])/1188 + 
       (9767*s[26])/594 + s[35]/2 - s[36]/2 + (27*s[43])/22 - (27*s[44])/44 + 
       (54*s[45])/11 - (513*s[46])/22 - (37*s[47])/44 - (15*s[48])/44 - 
       (219*s[49])/44 + (225*s[50])/11 - (27*s[51])/44 - (17*s[52])/44 - 
       (843*s[53])/44 + (18*s[54])/11 - (5619*s[55])/44 - (1017*s[56])/44 - 
       (4351*s[57])/66 - (5177*s[58])/396 + (9407*s[59])/396 + 
       (18901*s[60])/88 - (40319*s[61])/3564) + A5[v, w, u]*HPL[{1}, 1 - v]*
      (s[5] + s[6] + 10*s[7] - (5*s[8])/9 - (77*s[9])/9 - (31*s[10])/9 - 
       (28*s[11])/3 - (26*s[12])/3 - (13*s[13])/3 - (16*s[14])/3 - 
       (49*s[15])/3 - (52*s[16])/3 - (52*s[17])/3 - (67*s[18])/27 - 
       (26*s[19])/27 - (637*s[20])/27 - (256*s[21])/27 + (134*s[22])/27 + 
       (14*s[23])/3 + (281*s[24])/27 - (4979*s[25])/486 + (3593*s[26])/486 + 
       s[44]/2 + 2*s[45] - 10*s[46] - s[47]/6 - s[48]/6 + s[49]/6 + 8*s[50] + 
       s[51]/6 + s[52]/6 - (20*s[53])/3 + 4*s[54] - (287*s[55])/6 - 
       (27*s[56])/2 - (55*s[57])/3 - (61*s[58])/6 + (21*s[59])/2 + 
       (2909*s[60])/36 - (1105*s[61])/162) + HPL[{1}, 1 - v]^2*J1[v, w, u]*
      ((45*s[5])/44 + (105*s[6])/176 + (3395*s[7])/352 - (45*s[8])/88 - 
       (135*s[9])/16 - (15*s[10])/4 - (765*s[11])/88 - (1245*s[12])/176 - 
       (545*s[13])/176 - (471*s[14])/88 - (585*s[15])/32 - (6295*s[16])/352 - 
       (1745*s[17])/88 - (65*s[18])/48 - (115*s[19])/48 - (12571*s[20])/528 - 
       (290*s[21])/33 + (1229*s[22])/264 + (837*s[23])/352 + 
       (10853*s[24])/1056 - (15905*s[25])/1584 + (2765*s[26])/396 - s[35]/8 + 
       s[36]/8 + s[37]/2 + (45*s[43])/88 - (45*s[44])/176 + (45*s[45])/22 - 
       (855*s[46])/88 - (91*s[47])/176 - (25*s[48])/176 - (365*s[49])/176 + 
       (375*s[50])/44 - (67*s[51])/176 - (65*s[52])/176 - (1405*s[53])/176 + 
       (15*s[54])/22 - (4699*s[55])/88 - (1695*s[56])/176 - (2449*s[57])/88 - 
       (2683*s[58])/528 + (5209*s[59])/528 + (30189*s[60])/352 - 
       (26137*s[61])/4752) + C15[u, v, w]*((3*s[5])/2 + (3*s[6])/2 + 
       13*s[7] - (13*s[8])/18 - (211*s[9])/18 - (77*s[10])/18 - 
       (37*s[11])/3 - (67*s[12])/6 - (35*s[13])/6 - (35*s[14])/6 - 
       (125*s[15])/6 - (137*s[16])/6 - (137*s[17])/6 - (221*s[18])/54 - 
       (5*s[19])/27 - (811*s[20])/27 - (376*s[21])/27 + (361*s[22])/54 + 
       (85*s[23])/6 + (673*s[24])/54 - (12823*s[25])/972 + 
       (10483*s[26])/972 - (3*s[39])/2 + (3*s[40])/2 - (3*s[41])/2 + 
       (5*s[42])/2 + (3*s[43])/2 - (5*s[44])/4 + (3*s[45])/2 - 13*s[46] + 
       (7*s[47])/12 - (11*s[48])/12 - (73*s[49])/12 + 10*s[50] + 
       (17*s[51])/12 + (11*s[52])/12 - (26*s[53])/3 - (203*s[55])/4 - 
       (45*s[56])/4 + 8*s[57] - (653*s[58])/36 + (773*s[59])/36 + 
       (7153*s[60])/72 - (442*s[61])/81) + C15[w, u, v]*
      ((3*s[45])/2 - (13*s[46])/2 + 5*s[50] - (13*s[53])/3 - 30*s[55] - 
       (26*s[56])/3 - (7*s[57])/9 - (503*s[58])/54 + (265*s[59])/27 + 
       (607*s[60])/12 - (4261*s[61])/972) + HPL[{1}, 1 - u]^2*J1[v, w, u]*
      ((45*s[5])/44 + (105*s[6])/176 + (3395*s[7])/352 - (45*s[8])/88 - 
       (135*s[9])/16 - (15*s[10])/4 - (765*s[11])/88 - (1245*s[12])/176 - 
       (545*s[13])/176 - (471*s[14])/88 - (585*s[15])/32 - (6295*s[16])/352 - 
       (1745*s[17])/88 - (65*s[18])/48 - (115*s[19])/48 - (12571*s[20])/528 - 
       (290*s[21])/33 + (1273*s[22])/264 + (573*s[23])/352 + 
       (13097*s[24])/1056 - (45097*s[25])/4752 + (15281*s[26])/2376 - 
       s[35]/8 + s[36]/8 + s[37]/2 + (45*s[43])/88 - (45*s[44])/176 + 
       (45*s[45])/22 - (855*s[46])/88 - (91*s[47])/176 - (25*s[48])/176 - 
       (365*s[49])/176 + (375*s[50])/44 - (45*s[51])/176 + s[52]/176 - 
       (1405*s[53])/176 + (15*s[54])/22 - (9453*s[55])/176 - 
       (1695*s[56])/176 - (2515*s[57])/88 - (887*s[58])/176 + 
       (1729*s[59])/176 + (95209*s[60])/1056 - (20483*s[61])/4752) + 
     A1[u, v, w]*HPL[{1}, 1 - v]*((15*s[5])/11 + (23*s[6])/22 + 
       (368*s[7])/33 - (23*s[8])/66 - (61*s[9])/6 - (13*s[10])/3 - 
       (389*s[11])/44 - (195*s[12])/44 - (113*s[13])/66 - (62*s[14])/11 - 
       26*s[15] - (703*s[16])/33 - (3809*s[17])/132 - s[18]/18 - 
       (77*s[19])/18 - (5147*s[20])/198 - (215*s[21])/22 + (1031*s[22])/198 + 
       (347*s[23])/132 + (6037*s[24])/396 - (12341*s[25])/1188 + 
       (9047*s[26])/1188 - s[37] + (24*s[43])/11 + (9*s[44])/22 + 
       (30*s[45])/11 - (126*s[46])/11 - (20*s[47])/33 - (20*s[48])/33 - 
       (160*s[49])/33 + (103*s[50])/11 - (12*s[51])/11 - (5*s[52])/66 - 
       (398*s[53])/33 + (10*s[54])/11 - (796*s[55])/11 - (78*s[56])/11 - 
       (1703*s[57])/33 + (245*s[58])/99 + (1063*s[59])/99 + 
       (10709*s[60])/99 - (2081*s[61])/594) + A8[u, v, w]*HPL[{1}, 1 - v]*
      (s[42] - 2*s[43] + s[44]/2 + (3*s[47])/2 - (9*s[48])/2 + (11*s[49])/2 + 
       2*s[50] + (5*s[51])/6 + s[52]/2 - (11*s[55])/6 - (7*s[56])/2 + 
       16*s[57] - (13*s[58])/2 + (5*s[59])/2 - (157*s[60])/12 - 
       (61*s[61])/18) + A4[v, w, u]*HPL[{1}, 1 - u]*(s[6] + (2*s[8])/9 + 
       (2*s[9])/9 + (7*s[10])/9 - s[11]/6 - (5*s[12])/6 - (7*s[13])/6 - 
       (5*s[14])/3 + (16*s[15])/3 + (17*s[16])/6 + (13*s[17])/3 - 
       (20*s[18])/27 + (41*s[19])/27 + (119*s[20])/54 + (95*s[21])/54 - 
       (5*s[22])/27 - (11*s[23])/3 - (53*s[24])/27 - (307*s[25])/486 - 
       (193*s[26])/243 + s[37] - s[43] + s[47]/6 + s[48]/6 + (17*s[49])/6 - 
       s[50] + (3*s[51])/2 + s[52]/3 + (5*s[53])/3 + 4*s[54] + (21*s[55])/2 - 
       (9*s[56])/2 + 10*s[57] - (53*s[58])/18 - (61*s[59])/18 - 
       (587*s[60])/36 - (307*s[61])/162) + A6[v, w, u]*HPL[{1}, 1 - v]*
      (s[5] + s[6] + s[7]/6 + (2*s[8])/9 + (2*s[9])/9 + (7*s[10])/9 + 
       s[11]/3 + (7*s[12])/6 + (5*s[13])/2 - (19*s[14])/6 - (25*s[15])/6 - 
       3*s[16] - (16*s[17])/3 - (53*s[18])/27 + (74*s[19])/27 - 
       (113*s[20])/27 - (199*s[21])/54 - s[22]/54 + (29*s[23])/2 - 
       (79*s[24])/54 + (1037*s[25])/486 + (673*s[26])/486 + s[41] + 2*s[49] - 
       2*s[50] + 4*s[54] - 6*s[56] + (19*s[57])/3 - (17*s[58])/9 + 
       (17*s[59])/9 - (73*s[60])/6 - (137*s[61])/81) + 
     C21[v, w, u]*(-2*s[56] + s[57] - 2*s[58] + s[60]/3 - (71*s[61])/54) + 
     A6[u, v, w]*HPL[{1}, 1 - u]*(s[6] + s[7]/6 + s[10] - s[12]/2 - 
       (5*s[13])/6 - (3*s[14])/2 + (5*s[15])/2 + (8*s[16])/3 + (10*s[17])/3 - 
       (17*s[18])/9 + (26*s[19])/9 + (4*s[20])/9 - (41*s[21])/18 - s[22]/6 + 
       (37*s[23])/6 - (35*s[24])/6 + (98*s[25])/81 + (127*s[26])/81 + 
       s[47]/3 + s[48]/3 + (8*s[49])/3 - 2*s[50] + s[51] - (4*s[52])/3 + 
       (4*s[53])/3 + 4*s[54] + 9*s[55] - 4*s[56] + (53*s[57])/3 - 8*s[58] + 
       (10*s[59])/3 - (181*s[60])/9 - (193*s[61])/162) + 
     HPL[{1}, 1 - u]^2*J1[w, u, v]*((9*s[5])/44 + (21*s[6])/176 + 
       (679*s[7])/352 - (9*s[8])/88 - (27*s[9])/16 - (3*s[10])/4 - 
       (153*s[11])/88 - (249*s[12])/176 - (109*s[13])/176 - (15*s[14])/88 - 
       (117*s[15])/32 - (1259*s[16])/352 - (349*s[17])/88 - (13*s[18])/48 - 
       (23*s[19])/48 - (2039*s[20])/528 - (58*s[21])/33 + (259*s[22])/264 + 
       (1065*s[23])/352 + (1669*s[24])/1056 - (3247*s[25])/1584 + 
       (1139*s[26])/792 - s[35]/8 + s[36]/8 + (9*s[43])/88 - (9*s[44])/176 + 
       (9*s[45])/22 - (171*s[46])/88 + (61*s[47])/176 - (5*s[48])/176 - 
       (73*s[49])/176 + (75*s[50])/44 - (9*s[51])/176 + (53*s[52])/176 - 
       (281*s[53])/176 + (3*s[54])/22 - (1653*s[55])/176 - (339*s[56])/176 - 
       (239*s[57])/88 - (371*s[58])/176 + (381*s[59])/176 + 
       (17141*s[60])/1056 - (4607*s[61])/4752) + HPL[{1}, 1 - v]^2*
      J1[u, v, w]*((9*s[5])/44 + (21*s[6])/176 + (679*s[7])/352 - 
       (9*s[8])/88 - (27*s[9])/16 - (3*s[10])/4 - (153*s[11])/88 - 
       (249*s[12])/176 - (109*s[13])/176 - (15*s[14])/88 - (117*s[15])/32 - 
       (1259*s[16])/352 - (349*s[17])/88 - (13*s[18])/48 - (23*s[19])/48 - 
       (2039*s[20])/528 - (58*s[21])/33 + (259*s[22])/264 + 
       (1329*s[23])/352 + (3385*s[24])/1056 - (2741*s[25])/1584 + 
       (443*s[26])/396 - s[35]/8 + s[36]/8 + (9*s[43])/88 - (9*s[44])/176 + 
       (9*s[45])/22 - (171*s[46])/88 - (71*s[47])/176 - (5*s[48])/176 - 
       (73*s[49])/176 + (75*s[50])/44 + (13*s[51])/176 - (13*s[52])/176 - 
       (281*s[53])/176 + (3*s[54])/22 - (887*s[55])/88 - (339*s[56])/176 - 
       (217*s[57])/88 - (349*s[58])/176 + (623*s[59])/176 + 
       (5369*s[60])/352 - (485*s[61])/528) + A4[u, v, w]*HPL[{1}, 1 - v]*
      ((-4*s[18])/3 + s[19]/3 + (2*s[20])/3 - (8*s[25])/27 + (8*s[26])/27 + 
       2*s[54] - 2*s[56] + 2*s[57] - (8*s[60])/3 - (22*s[61])/27) + 
     F1[w, u, v]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      (-s[22]/6 - (41*s[25])/54 + (41*s[26])/54 + s[35] - s[36] - 
       (41*s[61])/54) + A2[w, v, u]*HPL[{1}, 1 - u]*(s[13] + s[16] + s[17] - 
       s[18]/3 + s[19]/3 - s[20]/3 - s[21]/3 + s[23] - s[24] + 
       (11*s[25])/54 + (7*s[26])/54 + s[49] + s[51] - s[52] + 2*s[54] + 
       4*s[55] - s[56] + 3*s[57] - s[58] - (9*s[60])/2 - (13*s[61])/18) + 
     C23[v, w, u]*(-s[56] + (2*s[57])/3 - (7*s[58])/9 - (2*s[59])/9 + 
       s[60]/2 - (113*s[61])/162) + HPL[{1}, 1 - v]^2*J1[w, u, v]*
      ((9*s[5])/44 + (21*s[6])/176 + (679*s[7])/352 - (9*s[8])/88 - 
       (27*s[9])/16 - (3*s[10])/4 - (153*s[11])/88 - (249*s[12])/176 - 
       (109*s[13])/176 - (147*s[14])/88 - (117*s[15])/32 - (1259*s[16])/352 - 
       (349*s[17])/88 - (13*s[18])/48 - (23*s[19])/48 - (2831*s[20])/528 - 
       (58*s[21])/33 + (281*s[22])/264 - (783*s[23])/352 + 
       (1537*s[24])/1056 - (7739*s[25])/4752 + (302*s[26])/297 - 
       (5*s[35])/8 + (5*s[36])/8 + (9*s[43])/88 - (9*s[44])/176 + 
       (9*s[45])/22 - (171*s[46])/88 + (61*s[47])/176 - (5*s[48])/176 - 
       (73*s[49])/176 + (75*s[50])/44 + (13*s[51])/176 - (13*s[52])/176 - 
       (281*s[53])/176 + (3*s[54])/22 - (953*s[55])/88 - (339*s[56])/176 - 
       (701*s[57])/88 - (167*s[58])/528 + (197*s[59])/528 + 
       (7041*s[60])/352 - (2737*s[61])/4752) + HPL[{1}, 1 - u]^2*J1[u, v, w]*
      ((9*s[5])/44 + (21*s[6])/176 + (679*s[7])/352 - (9*s[8])/88 - 
       (27*s[9])/16 - (3*s[10])/4 - (153*s[11])/88 - (249*s[12])/176 - 
       (109*s[13])/176 - (147*s[14])/88 - (117*s[15])/32 - (1259*s[16])/352 - 
       (349*s[17])/88 - (13*s[18])/48 - (23*s[19])/48 - (2831*s[20])/528 - 
       (58*s[21])/33 + (281*s[22])/264 - (519*s[23])/352 + 
       (3253*s[24])/1056 - (7409*s[25])/4752 + (2251*s[26])/2376 - 
       (5*s[35])/8 + (5*s[36])/8 + (9*s[43])/88 - (9*s[44])/176 + 
       (9*s[45])/22 - (171*s[46])/88 - (71*s[47])/176 - (5*s[48])/176 - 
       (73*s[49])/176 + (75*s[50])/44 - (9*s[51])/176 - (79*s[52])/176 - 
       (281*s[53])/176 + (3*s[54])/22 - (2049*s[55])/176 - (339*s[56])/176 - 
       (679*s[57])/88 - (145*s[58])/528 + (967*s[59])/528 + 
       (20309*s[60])/1056 - (2627*s[61])/4752) + A1[v, u, w]*HPL[{1}, 1 - v]*
      ((7*s[5])/11 + (21*s[6])/22 + (226*s[7])/33 - (7*s[8])/22 - 
       (11*s[9])/2 - 2*s[10] - (403*s[11])/44 - (487*s[12])/44 - 
       (349*s[13])/66 - (63*s[14])/22 - 5*s[15] - (353*s[16])/33 - 
       (481*s[17])/132 - (103*s[18])/18 + (67*s[19])/18 - (1744*s[20])/99 - 
       (1981*s[21])/198 + (127*s[22])/33 + (3019*s[23])/132 + 
       (503*s[24])/132 - (31067*s[25])/3564 + (27683*s[26])/3564 + s[38] - 
       2*s[39] + 2*s[40] - s[41] + 2*s[42] + (31*s[43])/11 - (32*s[44])/11 - 
       (19*s[45])/11 - (72*s[46])/11 - (46*s[47])/33 + (185*s[48])/33 - 
       (401*s[49])/33 + (18*s[50])/11 + (14*s[51])/33 + (19*s[52])/33 + 
       (2*s[53])/33 - (10*s[54])/11 + (37*s[55])/11 - (54*s[56])/11 + 
       (1252*s[57])/33 - (584*s[58])/33 + (544*s[59])/33 + (5428*s[60])/99 - 
       (481*s[61])/891) + A1[w, u, v]*HPL[{1}, 1 - v]*
      (s[4] - (15*s[5])/11 + (87*s[6])/22 + (28*s[7])/33 - (7*s[8])/22 + 
       s[9]/2 + 2*s[10] - (293*s[11])/44 - (465*s[12])/44 - (877*s[13])/66 + 
       (135*s[14])/22 + (17*s[15])/3 - (56*s[16])/33 + (905*s[17])/132 + 
       (89*s[18])/18 - (71*s[19])/18 + (1094*s[20])/99 + (1253*s[21])/198 + 
       (28*s[22])/33 - (215*s[23])/132 + (1141*s[24])/132 - 
       (49349*s[25])/3564 + (9137*s[26])/3564 + s[38] - 2*s[39] + 2*s[40] - 
       s[41] + 2*s[42] + (31*s[43])/11 - (32*s[44])/11 - (8*s[45])/11 - 
       (72*s[46])/11 - (46*s[47])/33 + (185*s[48])/33 - (401*s[49])/33 + 
       (18*s[50])/11 + (14*s[51])/33 + (19*s[52])/33 + (2*s[53])/33 - 
       (10*s[54])/11 + (37*s[55])/11 - (54*s[56])/11 + (1252*s[57])/33 - 
       (584*s[58])/33 + (544*s[59])/33 + (5428*s[60])/99 - (481*s[61])/891) + 
     A1[w, v, u]*HPL[{1}, 1 - u]*(s[4] - (15*s[5])/11 + (87*s[6])/22 + 
       (61*s[7])/33 - (7*s[8])/22 + s[9]/2 + 2*s[10] - (293*s[11])/44 - 
       (465*s[12])/44 - (877*s[13])/66 + (113*s[14])/22 + (17*s[15])/3 - 
       (56*s[16])/33 + (905*s[17])/132 + (89*s[18])/18 - (71*s[19])/18 + 
       (1094*s[20])/99 + (1253*s[21])/198 + (28*s[22])/33 - (215*s[23])/132 + 
       (1141*s[24])/132 - (49349*s[25])/3564 + (9137*s[26])/3564 + s[37] + 
       s[38] - 2*s[39] + 2*s[40] - s[41] + 2*s[42] + (31*s[43])/11 - 
       (32*s[44])/11 - (8*s[45])/11 - (72*s[46])/11 - (46*s[47])/33 + 
       (185*s[48])/33 - (401*s[49])/33 + (18*s[50])/11 + (14*s[51])/33 + 
       (19*s[52])/33 + (2*s[53])/33 - (10*s[54])/11 + (37*s[55])/11 - 
       (54*s[56])/11 + (1318*s[57])/33 - (202*s[58])/11 + (566*s[59])/33 + 
       (5197*s[60])/99 - (415*s[61])/891) + A9[u, v, w]*HPL[{1}, 1 - u]*
      (s[5]/2 + s[6]/2 + 3*s[7] - s[8]/6 - (19*s[9])/6 - (5*s[10])/6 - 
       3*s[11] - (5*s[12])/2 - (3*s[13])/2 - (3*s[14])/2 - (9*s[15])/2 - 
       (11*s[16])/2 - (11*s[17])/2 - (17*s[18])/18 + s[19]/9 - (61*s[20])/9 - 
       (28*s[21])/9 + (31*s[22])/18 + (5*s[23])/2 + (37*s[24])/18 - 
       (1033*s[25])/324 + (745*s[26])/324 - s[39]/2 + s[40]/2 - s[41]/2 + 
       s[42]/2 + s[43]/2 - s[44]/4 + s[45]/2 - 3*s[46] + s[47]/4 + 
       (3*s[48])/4 - (7*s[49])/4 + 2*s[50] + (17*s[51])/12 + s[52]/4 - 
       2*s[53] - (125*s[55])/12 - (9*s[56])/4 + (5*s[57])/3 - 
       (157*s[58])/36 + (157*s[59])/36 + (185*s[60])/8 - (37*s[61])/81) + 
     C13[u, v, w]*((2*s[21])/3 + 2*s[23] - (2*s[24])/3 + s[26]/3 + 4*s[57] - 
       (4*s[58])/3 + (4*s[59])/3 - (2*s[60])/3 - (4*s[61])/9) + 
     F1[w, u, v]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      (-s[22]/6 - (23*s[25])/54 + (23*s[26])/54 + s[35] - s[36] - 
       (23*s[61])/54) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*Phi6[u, v, w]*
      (-s[22]/12 - (41*s[25])/108 + (41*s[26])/108 + s[35]/2 - s[36]/2 - 
       (41*s[61])/108) + A1[v, w, u]*HPL[{1}, 1 - v]*
      ((-2*s[22])/3 - (10*s[25])/27 + (10*s[26])/27 - (10*s[61])/27) + 
     C10[u, v, w]*(3*s[23] - s[24] + 3*s[57] - s[58] + s[59] - (7*s[60])/2 - 
       s[61]/3) + C11[v, u, w]*(s[57] - s[60] - s[61]/3) + 
     C20[w, u, v]*(-s[18]/3 + s[19]/3 - s[20]/3 + s[22]/3 - (2*s[24])/3 + 
       s[25]/18 - s[26]/18 - 2*s[54] + s[57] - (2*s[58])/3 - s[59]/3 - 
       (5*s[60])/3 - (5*s[61])/18) + A2[v, u, w]*HPL[{1}, 1 - v]*
      (2*s[15] + s[16] + s[17] + s[18]/3 - s[19]/3 + (4*s[20])/3 + 
       (7*s[21])/3 - s[23] - (25*s[25])/27 - (38*s[26])/27 + s[47] - s[48] + 
       s[49] + 2*s[51] + 2*s[54] + 3*s[55] - s[56] + s[58] - 2*s[59] - 
       (5*s[60])/2 - (2*s[61])/9) + A2[u, v, w]*HPL[{1}, 1 - u]*
      (-s[6] + s[10] - s[12] + 2*s[15] + s[16] + s[17] + s[18]/3 - s[19]/3 + 
       (4*s[20])/3 + (7*s[21])/3 - s[23] + s[24] - (25*s[25])/27 - 
       (38*s[26])/27 + s[47] - s[48] + 2*s[54] + 2*s[55] - s[56] + s[58] - 
       2*s[59] - s[60]/2 - (2*s[61])/9) + C13[w, u, v]*
      (-s[14] + s[36] + 4*s[54] - 2*s[55] - 2*s[56] - 6*s[57] + 2*s[58] - 
       2*s[59] + (11*s[60])/3 - (2*s[61])/9) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]^2*Phi6[u, v, w]*(-s[22]/12 - (23*s[25])/108 + 
       (23*s[26])/108 + s[35]/2 - s[36]/2 - (23*s[61])/108) + 
     A4[w, u, v]*HPL[{1}, 1 - v]*(-s[22]/3 - (5*s[25])/27 + (5*s[26])/27 - 
       (5*s[61])/27) + C20[u, v, w]*((2*s[18])/3 + s[19]/3 + (2*s[20])/3 + 
       s[23] - s[24]/3 - (8*s[25])/27 + (8*s[26])/27 + 4*s[54] - s[55] - 
       2*s[56] - (3*s[57])/2 - s[58]/3 + s[59]/3 - (3*s[60])/2 - 
       (5*s[61])/27) + C11[w, u, v]*(2*s[21] + s[22]/3 - (31*s[25])/27 - 
       (23*s[26])/27 - (4*s[61])/27) + A5[w, u, v]*HPL[{1}, 1 - u]*
      (-s[25]/9 + s[26]/9 - s[61]/9) + A2[v, w, u]*HPL[{1}, 1 - u]*
      (2*s[23] - (5*s[24])/3 - s[51] - s[52] + 2*s[57] - (4*s[58])/3 + 
       (4*s[59])/3 - (8*s[60])/3 - s[61]/9) + A2[w, u, v]*HPL[{1}, 1 - u]*
      (-s[5] - s[11] - 3*s[12] - 4*s[13] + s[14] + 6*s[15] + 4*s[16] + 
       8*s[17] + s[18]/3 - s[19]/3 + (7*s[20])/3 + 2*s[21] - 10*s[23] - 
       s[24]/3 - (52*s[25])/27 - (2*s[26])/27 - s[47] + s[48] - s[49] - 
       2*s[51] + s[52] + 2*s[53] - 2*s[54] + 3*s[55] + s[56] + 2*s[57] - 
       (7*s[58])/3 - (2*s[59])/3 + (29*s[60])/6 - s[61]/9) + 
     C20[v, w, u]*((2*s[18])/3 + s[19]/3 + (2*s[20])/3 + s[23] - s[24]/3 - 
       (8*s[25])/27 + (8*s[26])/27 + 4*s[54] - 2*s[56] + s[57]/2 - s[60]/3 + 
       (5*s[61])/54) + A5[w, u, v]*HPL[{1}, 1 - v]*(s[25]/9 - s[26]/9 + 
       s[61]/9) + A2[w, u, v]*HPL[{1}, 1 - v]*(s[5] + s[11] + 3*s[12] + 
       4*s[13] - s[14] - 6*s[15] - 4*s[16] - 8*s[17] - s[18]/3 + s[19]/3 - 
       (7*s[20])/3 - 2*s[21] + 10*s[23] + s[24]/3 + (52*s[25])/27 + 
       (2*s[26])/27 + s[47] - s[48] + s[49] + 2*s[51] - s[52] - 2*s[53] + 
       2*s[54] - 3*s[55] - s[56] - 2*s[57] + (7*s[58])/3 + (2*s[59])/3 - 
       (29*s[60])/6 + s[61]/9) + A2[v, w, u]*HPL[{1}, 1 - v]*
      (-2*s[23] + (5*s[24])/3 + s[51] + s[52] - 2*s[57] + (4*s[58])/3 - 
       (4*s[59])/3 + (8*s[60])/3 + s[61]/9) + A4[w, u, v]*HPL[{1}, 1 - u]*
      (s[22]/3 + (5*s[25])/27 - (5*s[26])/27 + (5*s[61])/27) + 
     A2[u, v, w]*HPL[{1}, 1 - v]*(s[6] - s[10] + s[12] - 2*s[15] - s[16] - 
       s[17] - s[18]/3 + s[19]/3 - (4*s[20])/3 - (7*s[21])/3 + s[23] - 
       s[24] + (25*s[25])/27 + (38*s[26])/27 - s[47] + s[48] - 2*s[54] - 
       2*s[55] + s[56] - s[58] + 2*s[59] + s[60]/2 + (2*s[61])/9) + 
     A2[v, u, w]*HPL[{1}, 1 - u]*(-2*s[15] - s[16] - s[17] - s[18]/3 + 
       s[19]/3 - (4*s[20])/3 - (7*s[21])/3 + s[23] + (25*s[25])/27 + 
       (38*s[26])/27 - s[47] + s[48] - s[49] - 2*s[51] - 2*s[54] - 3*s[55] + 
       s[56] - s[58] + 2*s[59] + (5*s[60])/2 + (2*s[61])/9) + 
     C26[u, v, w]*(-s[14] + s[18]/3 - s[19]/3 - (2*s[20])/3 - s[22]/3 - 
       s[23] - (2*s[25])/9 + (2*s[26])/9 + 2*s[54] - s[55] - s[57] - 
       (2*s[58])/3 + (2*s[59])/3 + 2*s[60] + s[61]/3) + 
     A1[v, w, u]*HPL[{1}, 1 - u]*((2*s[22])/3 + (10*s[25])/27 - 
       (10*s[26])/27 + (10*s[61])/27) + C26[v, w, u]*
      (-s[14] + s[18]/3 - s[19]/3 - (2*s[20])/3 - s[23] - s[25]/27 + 
       s[26]/27 + 2*s[54] - s[55] - 2*s[57] + (7*s[60])/3 + (11*s[61])/27) + 
     A9[u, v, w]*HPL[{1}, 1 - v]*(-s[5]/2 - s[6]/2 - 3*s[7] + s[8]/6 + 
       (19*s[9])/6 + (5*s[10])/6 + 3*s[11] + (5*s[12])/2 + (3*s[13])/2 + 
       (3*s[14])/2 + (9*s[15])/2 + (11*s[16])/2 + (11*s[17])/2 + 
       (17*s[18])/18 - s[19]/9 + (61*s[20])/9 + (28*s[21])/9 - 
       (31*s[22])/18 - (5*s[23])/2 - (37*s[24])/18 + (1033*s[25])/324 - 
       (745*s[26])/324 + s[39]/2 - s[40]/2 + s[41]/2 - s[42]/2 - s[43]/2 + 
       s[44]/4 - s[45]/2 + 3*s[46] - s[47]/4 - (3*s[48])/4 + (7*s[49])/4 - 
       2*s[50] - (17*s[51])/12 - s[52]/4 + 2*s[53] + (125*s[55])/12 + 
       (9*s[56])/4 - (5*s[57])/3 + (157*s[58])/36 - (157*s[59])/36 - 
       (185*s[60])/8 + (37*s[61])/81) + A1[w, v, u]*HPL[{1}, 1 - v]*
      (-s[4] + (15*s[5])/11 - (87*s[6])/22 - (61*s[7])/33 + (7*s[8])/22 - 
       s[9]/2 - 2*s[10] + (293*s[11])/44 + (465*s[12])/44 + (877*s[13])/66 - 
       (113*s[14])/22 - (17*s[15])/3 + (56*s[16])/33 - (905*s[17])/132 - 
       (89*s[18])/18 + (71*s[19])/18 - (1094*s[20])/99 - (1253*s[21])/198 - 
       (28*s[22])/33 + (215*s[23])/132 - (1141*s[24])/132 + 
       (49349*s[25])/3564 - (9137*s[26])/3564 - s[37] - s[38] + 2*s[39] - 
       2*s[40] + s[41] - 2*s[42] - (31*s[43])/11 + (32*s[44])/11 + 
       (8*s[45])/11 + (72*s[46])/11 + (46*s[47])/33 - (185*s[48])/33 + 
       (401*s[49])/33 - (18*s[50])/11 - (14*s[51])/33 - (19*s[52])/33 - 
       (2*s[53])/33 + (10*s[54])/11 - (37*s[55])/11 + (54*s[56])/11 - 
       (1318*s[57])/33 + (202*s[58])/11 - (566*s[59])/33 - (5197*s[60])/99 + 
       (415*s[61])/891) + C10[w, u, v]*(s[25]/2 - s[26]/2 + s[36] + 
       s[61]/2) + C13[v, u, w]*(-2*s[9] + s[22]/3 - (2*s[24])/3 - 
       (10*s[25])/27 + (10*s[26])/27 + s[40] + s[45] + 2*s[57] - 
       (4*s[58])/3 + (4*s[59])/3 - (2*s[60])/3 + (14*s[61])/27) + 
     C13[w, v, u]*(-s[14] + (4*s[18])/3 + (2*s[19])/3 + (4*s[20])/3 - 
       (16*s[25])/27 + (16*s[26])/27 + 4*s[54] - 2*s[56] - (2*s[58])/3 + 
       (2*s[59])/3 + s[60]/3 + (14*s[61])/27) + 
     C14[w, u, v]*(s[5] + 2*s[6] + 2*s[10] - 4*s[14] + (4*s[18])/3 + 
       (2*s[19])/3 - (8*s[20])/3 - 4*s[23] + (4*s[24])/3 - (16*s[25])/27 + 
       (16*s[26])/27 + 2*s[49] - 2*s[50] + 8*s[54] - 4*s[56] - 6*s[57] + 
       (4*s[60])/3 + (14*s[61])/27) + C14[w, v, u]*(2*s[6] + 2*s[10] - 
       4*s[14] + (4*s[18])/3 + (2*s[19])/3 - (8*s[20])/3 - 4*s[23] + 
       (4*s[24])/3 - (16*s[25])/27 + (16*s[26])/27 - s[38] + s[39] + 
       2*s[49] - 2*s[50] + 8*s[54] - 4*s[56] - 6*s[57] + (4*s[60])/3 + 
       (14*s[61])/27) + A1[w, u, v]*HPL[{1}, 1 - u]*(-s[4] + (15*s[5])/11 - 
       (87*s[6])/22 - (28*s[7])/33 + (7*s[8])/22 - s[9]/2 - 2*s[10] + 
       (293*s[11])/44 + (465*s[12])/44 + (877*s[13])/66 - (135*s[14])/22 - 
       (17*s[15])/3 + (56*s[16])/33 - (905*s[17])/132 - (89*s[18])/18 + 
       (71*s[19])/18 - (1094*s[20])/99 - (1253*s[21])/198 - (28*s[22])/33 + 
       (215*s[23])/132 - (1141*s[24])/132 + (49349*s[25])/3564 - 
       (9137*s[26])/3564 - s[38] + 2*s[39] - 2*s[40] + s[41] - 2*s[42] - 
       (31*s[43])/11 + (32*s[44])/11 + (8*s[45])/11 + (72*s[46])/11 + 
       (46*s[47])/33 - (185*s[48])/33 + (401*s[49])/33 - (18*s[50])/11 - 
       (14*s[51])/33 - (19*s[52])/33 - (2*s[53])/33 + (10*s[54])/11 - 
       (37*s[55])/11 + (54*s[56])/11 - (1252*s[57])/33 + (584*s[58])/33 - 
       (544*s[59])/33 - (5428*s[60])/99 + (481*s[61])/891) + 
     A1[v, u, w]*HPL[{1}, 1 - u]*((-7*s[5])/11 - (21*s[6])/22 - 
       (226*s[7])/33 + (7*s[8])/22 + (11*s[9])/2 + 2*s[10] + (403*s[11])/44 + 
       (487*s[12])/44 + (349*s[13])/66 + (63*s[14])/22 + 5*s[15] + 
       (353*s[16])/33 + (481*s[17])/132 + (103*s[18])/18 - (67*s[19])/18 + 
       (1744*s[20])/99 + (1981*s[21])/198 - (127*s[22])/33 - 
       (3019*s[23])/132 - (503*s[24])/132 + (31067*s[25])/3564 - 
       (27683*s[26])/3564 - s[38] + 2*s[39] - 2*s[40] + s[41] - 2*s[42] - 
       (31*s[43])/11 + (32*s[44])/11 + (19*s[45])/11 + (72*s[46])/11 + 
       (46*s[47])/33 - (185*s[48])/33 + (401*s[49])/33 - (18*s[50])/11 - 
       (14*s[51])/33 - (19*s[52])/33 - (2*s[53])/33 + (10*s[54])/11 - 
       (37*s[55])/11 + (54*s[56])/11 - (1252*s[57])/33 + (584*s[58])/33 - 
       (544*s[59])/33 - (5428*s[60])/99 + (481*s[61])/891) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Phi6[u, v, w]*
      (s[22]/6 + (16*s[25])/27 - (16*s[26])/27 - s[35] + s[36] + 
       (16*s[61])/27) + A2[w, v, u]*HPL[{1}, 1 - v]*(-s[13] - s[16] - s[17] + 
       s[18]/3 - s[19]/3 + s[20]/3 + s[21]/3 - s[23] + s[24] - 
       (11*s[25])/54 - (7*s[26])/54 - s[49] - s[51] + s[52] - 2*s[54] - 
       4*s[55] + s[56] - 3*s[57] + s[58] + (9*s[60])/2 + (13*s[61])/18) + 
     C11[w, v, u]*(s[9] - 2*s[21] - s[22]/3 - 2*s[24] + (31*s[25])/27 + 
       (23*s[26])/27 + 6*s[57] - 4*s[58] + 4*s[59] - 2*s[60] + 
       (22*s[61])/27) + A4[u, v, w]*HPL[{1}, 1 - u]*((4*s[18])/3 - s[19]/3 - 
       (2*s[20])/3 + (8*s[25])/27 - (8*s[26])/27 - 2*s[54] + 2*s[56] - 
       2*s[57] + (8*s[60])/3 + (22*s[61])/27) + 
     C10[v, w, u]*(3*s[23] - s[24] + 3*s[57] - 2*s[58] + 2*s[59] - s[60] + 
       (5*s[61])/6) + C3[v, w, u]*s[61] + C3[w, v, u]*
      (s[25] - s[26] + s[36] + s[61]) + F1[w, u, v]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*(s[22]/3 + (32*s[25])/27 - 
       (32*s[26])/27 - 2*s[35] + 2*s[36] + (32*s[61])/27) + 
     A6[u, v, w]*HPL[{1}, 1 - v]*(-s[6] - s[7]/6 - s[10] + s[12]/2 + 
       (5*s[13])/6 + (3*s[14])/2 - (5*s[15])/2 - (8*s[16])/3 - (10*s[17])/3 + 
       (17*s[18])/9 - (26*s[19])/9 - (4*s[20])/9 + (41*s[21])/18 + s[22]/6 - 
       (37*s[23])/6 + (35*s[24])/6 - (98*s[25])/81 - (127*s[26])/81 - 
       s[47]/3 - s[48]/3 - (8*s[49])/3 + 2*s[50] - s[51] + (4*s[52])/3 - 
       (4*s[53])/3 - 4*s[54] - 9*s[55] + 4*s[56] - (53*s[57])/3 + 8*s[58] - 
       (10*s[59])/3 + (181*s[60])/9 + (193*s[61])/162) + 
     C24[v, w, u]*(-s[8] + 2*s[46] + 2*s[56] - s[57] + 2*s[58] + 
       (2*s[60])/3 + (3*s[61])/2) + A6[v, w, u]*HPL[{1}, 1 - u]*
      (-s[5] - s[6] - s[7]/6 - (2*s[8])/9 - (2*s[9])/9 - (7*s[10])/9 - 
       s[11]/3 - (7*s[12])/6 - (5*s[13])/2 + (19*s[14])/6 + (25*s[15])/6 + 
       3*s[16] + (16*s[17])/3 + (53*s[18])/27 - (74*s[19])/27 + 
       (113*s[20])/27 + (199*s[21])/54 + s[22]/54 - (29*s[23])/2 + 
       (79*s[24])/54 - (1037*s[25])/486 - (673*s[26])/486 - s[41] - 2*s[49] + 
       2*s[50] - 4*s[54] + 6*s[56] - (19*s[57])/3 + (17*s[58])/9 - 
       (17*s[59])/9 + (73*s[60])/6 + (137*s[61])/81) + 
     A4[v, w, u]*HPL[{1}, 1 - v]*(-s[6] - (2*s[8])/9 - (2*s[9])/9 - 
       (7*s[10])/9 + s[11]/6 + (5*s[12])/6 + (7*s[13])/6 + (5*s[14])/3 - 
       (16*s[15])/3 - (17*s[16])/6 - (13*s[17])/3 + (20*s[18])/27 - 
       (41*s[19])/27 - (119*s[20])/54 - (95*s[21])/54 + (5*s[22])/27 + 
       (11*s[23])/3 + (53*s[24])/27 + (307*s[25])/486 + (193*s[26])/243 - 
       s[37] + s[43] - s[47]/6 - s[48]/6 - (17*s[49])/6 + s[50] - 
       (3*s[51])/2 - s[52]/3 - (5*s[53])/3 - 4*s[54] - (21*s[55])/2 + 
       (9*s[56])/2 - 10*s[57] + (53*s[58])/18 + (61*s[59])/18 + 
       (587*s[60])/36 + (307*s[61])/162) + H1[w, u, v]*HPL[{1}, 1 - u]^2*
      ((-9*s[5])/11 - (21*s[6])/44 - (679*s[7])/88 + (9*s[8])/22 + 
       (27*s[9])/4 + 3*s[10] + (153*s[11])/22 + (249*s[12])/44 + 
       (109*s[13])/44 + (103*s[14])/22 + (117*s[15])/8 + (1259*s[16])/88 + 
       (349*s[17])/22 + (13*s[18])/12 + (23*s[19])/12 + (2567*s[20])/132 + 
       (232*s[21])/33 - (259*s[22])/66 - (9*s[23])/88 - (2725*s[24])/264 + 
       (2807*s[25])/396 - (919*s[26])/198 + s[35]/2 - s[36]/2 - 
       (9*s[43])/22 + (9*s[44])/44 - (18*s[45])/11 + (171*s[46])/22 + 
       (27*s[47])/44 + (5*s[48])/44 + (73*s[49])/44 - (75*s[50])/11 + 
       (9*s[51])/44 + (35*s[52])/44 + (281*s[53])/44 - (6*s[54])/11 + 
       (1917*s[55])/44 + (339*s[56])/44 + (1597*s[57])/66 + 
       (1403*s[58])/396 - (3077*s[59])/396 - (19253*s[60])/264 + 
       (10565*s[61])/3564) + HPL[{1}, 1 - u]^4*Phi6[u, v, w]*
      ((-9*s[5])/11 - (21*s[6])/44 - (679*s[7])/88 + (9*s[8])/22 + 
       (27*s[9])/4 + 3*s[10] + (153*s[11])/22 + (249*s[12])/44 + 
       (109*s[13])/44 + (103*s[14])/22 + (117*s[15])/8 + (1259*s[16])/88 + 
       (349*s[17])/22 + (13*s[18])/12 + (23*s[19])/12 + (2567*s[20])/132 + 
       (232*s[21])/33 - (259*s[22])/66 - (9*s[23])/88 - (2725*s[24])/264 + 
       (2917*s[25])/396 - (487*s[26])/99 + s[35]/2 - s[36]/2 - s[37]/4 - 
       (9*s[43])/22 + (9*s[44])/44 - (18*s[45])/11 + (171*s[46])/22 + 
       (27*s[47])/44 + (5*s[48])/44 + (73*s[49])/44 - (75*s[50])/11 + 
       (9*s[51])/44 + (13*s[52])/44 + (281*s[53])/44 - (6*s[54])/11 + 
       (1917*s[55])/44 + (339*s[56])/44 + (1597*s[57])/66 + 
       (1403*s[58])/396 - (3077*s[59])/396 - (19253*s[60])/264 + 
       (11555*s[61])/3564) + A8[u, v, w]*HPL[{1}, 1 - u]*
      (-s[42] + 2*s[43] - s[44]/2 - (3*s[47])/2 + (9*s[48])/2 - 
       (11*s[49])/2 - 2*s[50] - (5*s[51])/6 - s[52]/2 + (11*s[55])/6 + 
       (7*s[56])/2 - 16*s[57] + (13*s[58])/2 - (5*s[59])/2 + (157*s[60])/12 + 
       (61*s[61])/18) + A1[u, v, w]*HPL[{1}, 1 - u]*
      ((-15*s[5])/11 - (23*s[6])/22 - (368*s[7])/33 + (23*s[8])/66 + 
       (61*s[9])/6 + (13*s[10])/3 + (389*s[11])/44 + (195*s[12])/44 + 
       (113*s[13])/66 + (62*s[14])/11 + 26*s[15] + (703*s[16])/33 + 
       (3809*s[17])/132 + s[18]/18 + (77*s[19])/18 + (5147*s[20])/198 + 
       (215*s[21])/22 - (1031*s[22])/198 - (347*s[23])/132 - 
       (6037*s[24])/396 + (12341*s[25])/1188 - (9047*s[26])/1188 + s[37] - 
       (24*s[43])/11 - (9*s[44])/22 - (30*s[45])/11 + (126*s[46])/11 + 
       (20*s[47])/33 + (20*s[48])/33 + (160*s[49])/33 - (103*s[50])/11 + 
       (12*s[51])/11 + (5*s[52])/66 + (398*s[53])/33 - (10*s[54])/11 + 
       (796*s[55])/11 + (78*s[56])/11 + (1703*s[57])/33 - (245*s[58])/99 - 
       (1063*s[59])/99 - (10709*s[60])/99 + (2081*s[61])/594) + 
     HPL[{1}, 1 - v]^4*Phi6[u, v, w]*((-9*s[5])/11 - (21*s[6])/44 - 
       (679*s[7])/88 + (9*s[8])/22 + (27*s[9])/4 + 3*s[10] + (153*s[11])/22 + 
       (249*s[12])/44 + (109*s[13])/44 + (103*s[14])/22 + (117*s[15])/8 + 
       (1259*s[16])/88 + (349*s[17])/22 + (13*s[18])/12 + (23*s[19])/12 + 
       (2567*s[20])/132 + (232*s[21])/33 - (1003*s[22])/264 - (9*s[23])/88 - 
       (2065*s[24])/264 + (18503*s[25])/2376 - (12689*s[26])/2376 + s[35]/2 - 
       s[36]/2 - s[37]/4 - (9*s[43])/22 + (9*s[44])/44 - (18*s[45])/11 + 
       (171*s[46])/22 + (5*s[47])/44 + (5*s[48])/44 + (73*s[49])/44 - 
       (75*s[50])/11 + (9*s[51])/44 + (13*s[52])/44 + (281*s[53])/44 - 
       (6*s[54])/11 + (471*s[55])/11 + (339*s[56])/44 + (525*s[57])/22 + 
       (475*s[58])/132 - (901*s[59])/132 - (6205*s[60])/88 + 
       (9643*s[61])/2376) + H1[u, v, w]*HPL[{1}, 1 - v]^2*
      ((-9*s[5])/11 - (21*s[6])/44 - (679*s[7])/88 + (9*s[8])/22 + 
       (27*s[9])/4 + 3*s[10] + (153*s[11])/22 + (249*s[12])/44 + 
       (109*s[13])/44 + (103*s[14])/22 + (117*s[15])/8 + (1259*s[16])/88 + 
       (349*s[17])/22 + (13*s[18])/12 + (23*s[19])/12 + (2567*s[20])/132 + 
       (232*s[21])/33 - (259*s[22])/66 + (79*s[23])/88 - (2153*s[24])/264 + 
       (3181*s[25])/396 - (553*s[26])/99 + s[35]/2 - s[36]/2 - (9*s[43])/22 + 
       (9*s[44])/44 - (18*s[45])/11 + (171*s[46])/22 - (17*s[47])/44 + 
       (5*s[48])/44 + (73*s[49])/44 - (75*s[50])/11 - (13*s[51])/44 + 
       (13*s[52])/44 + (281*s[53])/44 - (6*s[54])/11 + (931*s[55])/22 + 
       (339*s[56])/44 + (1619*s[57])/66 + (1381*s[58])/396 - 
       (2263*s[59])/396 - (19451*s[60])/264 + (14767*s[61])/3564) + 
     H1[u, v, w]*HPL[{1}, 1 - u]^2*((-9*s[5])/11 - (21*s[6])/44 - 
       (679*s[7])/88 + (9*s[8])/22 + (27*s[9])/4 + 3*s[10] + (153*s[11])/22 + 
       (249*s[12])/44 + (109*s[13])/44 + (59*s[14])/22 + (117*s[15])/8 + 
       (1259*s[16])/88 + (349*s[17])/22 + (13*s[18])/12 + (23*s[19])/12 + 
       (2303*s[20])/132 + (232*s[21])/33 - (79*s[22])/22 - (537*s[23])/88 - 
       (2197*s[24])/264 + (10753*s[25])/1188 - (3923*s[26])/594 - 
       (3*s[35])/2 + (3*s[36])/2 - (9*s[43])/22 + (9*s[44])/44 - 
       (18*s[45])/11 + (171*s[46])/22 - (17*s[47])/44 + (5*s[48])/44 + 
       (73*s[49])/44 - (75*s[50])/11 + (9*s[51])/44 - (9*s[52])/44 + 
       (281*s[53])/44 - (6*s[54])/11 + (1785*s[55])/44 + (339*s[56])/44 + 
       (1157*s[57])/66 + (2371*s[58])/396 - (3253*s[59])/396 - 
       (18197*s[60])/264 + (17209*s[61])/3564) + 
     H1[w, u, v]*HPL[{1}, 1 - v]^2*((-9*s[5])/11 - (21*s[6])/44 - 
       (679*s[7])/88 + (9*s[8])/22 + (27*s[9])/4 + 3*s[10] + (153*s[11])/22 + 
       (249*s[12])/44 + (109*s[13])/44 + (59*s[14])/22 + (117*s[15])/8 + 
       (1259*s[16])/88 + (349*s[17])/22 + (13*s[18])/12 + (23*s[19])/12 + 
       (2303*s[20])/132 + (232*s[21])/33 - (79*s[22])/22 - (625*s[23])/88 - 
       (923*s[24])/88 + (10027*s[25])/1188 - (1780*s[26])/297 - (3*s[35])/2 + 
       (3*s[36])/2 - (9*s[43])/22 + (9*s[44])/44 - (18*s[45])/11 + 
       (171*s[46])/22 + (27*s[47])/44 + (5*s[48])/44 + (73*s[49])/44 - 
       (75*s[50])/11 - (13*s[51])/44 + (13*s[52])/44 + (281*s[53])/44 - 
       (6*s[54])/11 + (909*s[55])/22 + (339*s[56])/44 + (1135*s[57])/66 + 
       (2261*s[58])/396 - (3935*s[59])/396 - (17779*s[60])/264 + 
       (17363*s[61])/3564) + C15[v, u, w]*((-3*s[5])/2 - (3*s[6])/2 - 
       13*s[7] + (13*s[8])/18 + (211*s[9])/18 + (77*s[10])/18 + 
       (37*s[11])/3 + (67*s[12])/6 + (35*s[13])/6 + (35*s[14])/6 + 
       (125*s[15])/6 + (137*s[16])/6 + (137*s[17])/6 + (221*s[18])/54 + 
       (5*s[19])/27 + (811*s[20])/27 + (376*s[21])/27 - (361*s[22])/54 - 
       (85*s[23])/6 - (673*s[24])/54 + (12823*s[25])/972 - 
       (10483*s[26])/972 + (3*s[39])/2 - (3*s[40])/2 + (3*s[41])/2 - 
       (5*s[42])/2 - (3*s[43])/2 + (5*s[44])/4 - (3*s[45])/2 + 13*s[46] - 
       (7*s[47])/12 + (11*s[48])/12 + (73*s[49])/12 - 10*s[50] - 
       (17*s[51])/12 - (11*s[52])/12 + (26*s[53])/3 + (203*s[55])/4 + 
       (45*s[56])/4 - 8*s[57] + (653*s[58])/36 - (773*s[59])/36 - 
       (7153*s[60])/72 + (442*s[61])/81) + A5[v, w, u]*HPL[{1}, 1 - u]*
      (-s[5] - s[6] - 10*s[7] + (5*s[8])/9 + (77*s[9])/9 + (31*s[10])/9 + 
       (28*s[11])/3 + (26*s[12])/3 + (13*s[13])/3 + (16*s[14])/3 + 
       (49*s[15])/3 + (52*s[16])/3 + (52*s[17])/3 + (67*s[18])/27 + 
       (26*s[19])/27 + (637*s[20])/27 + (256*s[21])/27 - (134*s[22])/27 - 
       (14*s[23])/3 - (281*s[24])/27 + (4979*s[25])/486 - (3593*s[26])/486 - 
       s[44]/2 - 2*s[45] + 10*s[46] + s[47]/6 + s[48]/6 - s[49]/6 - 8*s[50] - 
       s[51]/6 - s[52]/6 + (20*s[53])/3 - 4*s[54] + (287*s[55])/6 + 
       (27*s[56])/2 + (55*s[57])/3 + (61*s[58])/6 - (21*s[59])/2 - 
       (2909*s[60])/36 + (1105*s[61])/162) + A5[u, v, w]*HPL[{1}, 1 - v]*
      ((-5*s[5])/2 - (5*s[6])/2 - 23*s[7] + (19*s[8])/18 + (361*s[9])/18 + 
       (143*s[10])/18 + (131*s[11])/6 + (115*s[12])/6 + (28*s[13])/3 + 
       (34*s[14])/3 + (233*s[15])/6 + (124*s[16])/3 + (127*s[17])/3 + 
       (359*s[18])/54 + (35*s[19])/27 + (1465*s[20])/27 + (1313*s[21])/54 - 
       (314*s[22])/27 - (65*s[23])/3 - (614*s[24])/27 + (22567*s[25])/972 - 
       (18175*s[26])/972 + (3*s[39])/2 - (3*s[40])/2 + (3*s[41])/2 - 
       (5*s[42])/2 - (3*s[43])/2 + (5*s[44])/4 - (7*s[45])/2 + 23*s[46] - 
       (7*s[47])/12 + (11*s[48])/12 + (73*s[49])/12 - 18*s[50] - 
       (17*s[51])/12 - (11*s[52])/12 + (47*s[53])/3 - 4*s[54] + 
       (399*s[55])/4 + (101*s[56])/4 + 11*s[57] + (1013*s[58])/36 - 
       (1169*s[59])/36 - (12985*s[60])/72 + (2045*s[61])/162) + 
     A10[w, u, v]*HPL[{1}, 1 - u]*(-6*s[5] - 8*s[6] - 64*s[7] + (8*s[8])/3 + 
       (176*s[9])/3 + (64*s[10])/3 + 64*s[11] + 58*s[12] + 32*s[13] + 
       28*s[14] + 96*s[15] + 108*s[16] + 104*s[17] + (184*s[18])/9 + 
       (8*s[19])/9 + (1312*s[20])/9 + (616*s[21])/9 - (308*s[22])/9 - 
       76*s[23] - (374*s[24])/9 + (5485*s[25])/81 - (4387*s[26])/81 + 
       2*s[38] + 8*s[39] - 8*s[40] + 8*s[41] - 16*s[42] + 6*s[44] - 8*s[45] + 
       64*s[46] - 8*s[47] + 16*s[48] + 10*s[49] - 56*s[50] + 2*s[52] + 
       40*s[53] + (728*s[55])/3 + 70*s[56] - 126*s[57] + (398*s[58])/3 - 
       (374*s[59])/3 - (1253*s[60])/3 + (367*s[61])/9) + 
     C25[u, v, w]*(-4*s[3] - (25*s[4])/2 - (147*s[5])/22 - (223*s[6])/11 - 
       (21163*s[7])/132 + (1340*s[8])/99 + (2357*s[9])/18 + (667*s[10])/18 + 
       (24019*s[11])/132 + (6779*s[12])/33 + (5611*s[13])/44 + 
       (1087*s[14])/132 + (2447*s[15])/12 + (5859*s[16])/22 + 
       (25307*s[17])/132 + (1615*s[18])/54 + (1385*s[19])/54 + 
       (180635*s[20])/594 + (129511*s[21])/1188 - (97649*s[22])/1188 - 
       (2357*s[23])/11 - (52340*s[24])/297 + (2548591*s[25])/10692 - 
       (1354579*s[26])/10692 - s[37] - 8*s[38] + 26*s[39] - 28*s[40] + 
       20*s[41] - 35*s[42] - (254*s[43])/11 + (248*s[44])/11 - 
       (268*s[45])/11 + (2010*s[46])/11 - (103*s[47])/11 - (37*s[48])/11 + 
       (1112*s[49])/11 - (1454*s[50])/11 - (258*s[51])/11 - (237*s[52])/11 + 
       (994*s[53])/11 - (82*s[54])/11 + (19124*s[55])/33 + (1744*s[56])/11 - 
       (2391*s[57])/11 + (3331*s[58])/11 - (3323*s[59])/11 - 
       (48940*s[60])/33 + (7691*s[61])/99) + C18[w, u, v]*s[62] + 
     C11[u, v, w]*(-s[57] + 2*s[63]) + C17[w, u, v]*s[64] + 
     C16[w, u, v]*s[66] + C14[u, v, w]*(-s[46] - 2*s[56] + s[57] - 2*s[58] - 
       (2*s[60])/3 - (3*s[61])/2 + s[68]) + C13[v, w, u]*
      (-s[56] - 2*s[60] - (2*s[61])/3 + s[69]) + 
     C19[w, u, v]*(2*s[23] - (2*s[24])/3 + s[45] + s[56] + 2*s[57] - 
       (4*s[58])/3 + (4*s[59])/3 - (8*s[60])/3 - s[61]/9 - s[66] + s[69]) + 
     C21[u, v, w]*s[70] + C23[u, v, w]*s[77] + 
     C15[w, v, u]*((3*s[4])/2 - (3*s[5])/2 - (29*s[7])/12 - (11*s[8])/9 + 
       (59*s[9])/18 + (49*s[10])/18 + (11*s[11])/12 - (13*s[12])/6 - 
       (11*s[13])/4 + (101*s[14])/12 + (25*s[15])/4 + (11*s[16])/2 + 
       (127*s[17])/12 + (187*s[18])/54 - (121*s[19])/54 + (739*s[20])/54 + 
       (1037*s[21])/108 - (151*s[22])/108 + (3*s[23])/2 + (7*s[24])/54 - 
       (3757*s[25])/972 - (3227*s[26])/972 - (3*s[39])/2 + (3*s[40])/2 - 
       (3*s[41])/2 + (5*s[42])/2 + (3*s[43])/2 - (5*s[44])/4 - (3*s[45])/2 + 
       (7*s[47])/12 - (11*s[48])/12 - (73*s[49])/12 + (17*s[51])/12 + 
       (11*s[52])/12 + (41*s[55])/4 + (73*s[56])/12 + (89*s[57])/9 + 
       (29*s[58])/108 + (115*s[59])/108 + (13*s[60])/72 + (848*s[61])/243 + 
       2*s[78]) + F1[v, w, u]*HPL[{0, 0, 1}, 1 - v]*(-3*s[2] + (31*s[3])/4 + 
       (1145*s[4])/8 + (3271*s[5])/44 + (18481*s[6])/88 + 
       (3065969*s[7])/1584 - (157237*s[8])/792 - (14458*s[9])/9 - 
       (7675*s[10])/18 - (384663*s[11])/176 - (82661*s[12])/33 - 
       (2400493*s[13])/1584 - (8751*s[14])/176 - (345383*s[15])/144 - 
       (628049*s[16])/198 - (3500825*s[17])/1584 - (3281*s[18])/9 - 
       (6413*s[19])/24 - (2882153*s[20])/792 - (6080915*s[21])/4752 + 
       (4804199*s[22])/4752 + (1094807*s[23])/396 + (2408663*s[24])/1188 - 
       (61378087*s[25])/21384 + (32067679*s[26])/21384 - 3*s[29] + s[30] - 
       2*s[31] - s[32] - (11*s[33])/2 + s[34] + 2*s[35] - (29*s[36])/6 + 
       (133*s[37])/12 + (181*s[38])/2 - (2795*s[39])/8 + (9125*s[40])/24 - 
       (2253*s[41])/8 + (11995*s[42])/24 + (6677*s[43])/24 - 
       (14425*s[44])/48 + (6745*s[45])/24 - (9373*s[46])/4 + 
       (21731*s[47])/144 - (2635*s[48])/144 - (183233*s[49])/144 + 
       (20785*s[50])/12 + (49033*s[51])/144 + (41719*s[52])/144 - 
       (3554*s[53])/3 + (395*s[54])/4 - (355231*s[55])/48 - 
       (292231*s[56])/144 + (85387*s[57])/27 - (5112131*s[58])/1296 + 
       (5093519*s[59])/1296 + (16065485*s[60])/864 - (2872481*s[61])/2916 - 
       s[65]/2 + 2*s[67] + 2*s[68] + 2*s[69] + s[70] + s[71]/2 + 2*s[72] - 
       2*s[73] - (3*s[74])/2 + (3*s[75])/2 - 2*s[76] - 4*s[77] + 2*s[78] + 
       16*s[79] - (35*s[80])/6) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      Phi6[u, v, w]*((-21*s[3])/2 - (51*s[4])/8 - (11*s[6])/8 - 
       (1807*s[7])/48 + (587*s[8])/216 + (995*s[9])/54 + (434*s[10])/27 + 
       (7067*s[11])/144 + (3869*s[12])/72 + (5939*s[13])/144 - 
       (4339*s[14])/144 + (7973*s[15])/144 + (4915*s[16])/72 + 
       (7625*s[17])/144 - (685*s[18])/324 + (22073*s[19])/648 + 
       (27073*s[20])/648 + (14639*s[21])/1296 - (16993*s[22])/1296 - 
       (1435*s[23])/36 - (10019*s[24])/162 + (110449*s[25])/1458 - 
       (84485*s[26])/2916 - s[30]/2 + 3*s[36] + (17*s[37])/12 - 5*s[38] + 
       (13*s[39])/4 + (5*s[40])/4 - (13*s[41])/4 + 3*s[42] - (35*s[43])/4 + 
       (9*s[44])/8 - (173*s[45])/12 + (146*s[46])/3 + (25*s[47])/8 - 
       (73*s[48])/8 + (365*s[49])/8 - (149*s[50])/4 + (45*s[51])/8 + 
       (13*s[52])/8 + (1009*s[53])/36 + (265*s[54])/6 + (4717*s[55])/24 + 
       (541*s[56])/72 + (16403*s[57])/216 + (33929*s[58])/648 - 
       (42677*s[59])/648 - (68483*s[60])/144 + (118703*s[61])/5832 - 
       s[68]/2 - s[69]/2 + s[76]/2 - s[77]/2 + s[78] + 11*s[79] - 
       (17*s[80])/3) + H1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      (s[3] + 43*s[4] + (2191*s[5])/88 + (5965*s[6])/88 + (42011*s[7])/66 - 
       (4621*s[8])/88 - (4317*s[9])/8 - (1245*s[10])/8 - (31331*s[11])/44 - 
       (70247*s[12])/88 - (129721*s[13])/264 - (4299*s[14])/88 - 
       (19621*s[15])/24 - (277777*s[16])/264 - (201101*s[17])/264 - 
       (7603*s[18])/72 - (3601*s[19])/36 - (122002*s[20])/99 - 
       (172187*s[21])/396 + (89581*s[22])/264 + (205181*s[23])/264 + 
       (186779*s[24])/264 - (13136345*s[25])/14256 + (6955037*s[26])/14256 - 
       s[30]/2 + s[32]/2 + s[35] - (7*s[36])/2 + (19*s[37])/4 + 29*s[38] - 
       (205*s[39])/2 + 116*s[40] - 88*s[41] + (575*s[42])/4 + 
       (2027*s[43])/22 - (4205*s[44])/44 + (952*s[45])/11 - 
       (15919*s[46])/22 + (4043*s[47])/132 + (1997*s[48])/132 - 
       (26695*s[49])/66 + (12095*s[50])/22 + (3229*s[51])/33 + 
       (2689*s[52])/33 - (12118*s[53])/33 + (222*s[54])/11 - 
       (154667*s[55])/66 - (13625*s[56])/22 + (55003*s[57])/66 - 
       (465335*s[58])/396 + (469985*s[59])/396 + (593614*s[60])/99 - 
       (113345*s[61])/396 - s[76] + s[77]/2 - s[78] + 15*s[79] - 4*s[80]) + 
     F1[u, v, w]*HPL[{0, 0, 1}, 1 - u]*(-s[2]/2 + (77*s[3])/4 + 
       (661*s[4])/8 + (19*s[5])/44 + (5557*s[6])/88 + (978383*s[7])/1584 - 
       (27293*s[8])/264 - (1861*s[9])/4 - (235*s[10])/3 - 
       (390557*s[11])/528 - (41485*s[12])/44 - (912673*s[13])/1584 + 
       (93871*s[14])/528 - (94013*s[15])/144 - (751673*s[16])/792 - 
       (720749*s[17])/1584 - (2899*s[18])/27 - (21835*s[19])/216 - 
       (2329849*s[20])/2376 - (1230547*s[21])/4752 + (484153*s[22])/1584 + 
       (1046701*s[23])/792 + (161527*s[24])/264 - (2882608*s[25])/2673 + 
       (4985965*s[26])/10692 - s[29] - 3*s[31] + s[32]/2 - (3*s[33])/4 + 
       4*s[34] + 3*s[35] + (17*s[36])/6 + (73*s[37])/12 + 45*s[38] - 
       (1215*s[39])/8 + (3889*s[40])/24 - (931*s[41])/8 + (4961*s[42])/24 + 
       (3025*s[43])/24 - (6035*s[44])/48 + (3349*s[45])/24 - 
       (12433*s[46])/12 + (9589*s[47])/144 + (151*s[48])/144 - 
       (79351*s[49])/144 + (4429*s[50])/6 + (20567*s[51])/144 + 
       (18761*s[52])/144 - (18197*s[53])/36 + (463*s[54])/6 - 
       (154925*s[55])/48 - (14537*s[56])/16 + (50185*s[57])/36 - 
       (762631*s[58])/432 + (745399*s[59])/432 + (7071127*s[60])/864 - 
       (24337*s[61])/54 + s[66] + 3*s[68] - 2*s[69] - 4*s[77] - 
       (11*s[80])/6) + C27[v, w, u]*((21*s[2])/2 + (41*s[3])/4 + 
       (1621*s[4])/8 + (2815*s[5])/11 + (42635*s[6])/88 + 
       (6661331*s[7])/1584 - (714397*s[8])/2376 - (194009*s[9])/54 - 
       (119537*s[10])/108 - (7313149*s[11])/1584 - (1968839*s[12])/396 - 
       (4719851*s[13])/1584 - (1084513*s[14])/1584 - (814957*s[15])/144 - 
       (1412605*s[16])/198 - (2993273*s[17])/528 - (137305*s[18])/162 - 
       (369125*s[19])/648 - (60621845*s[20])/7128 - (46805359*s[21])/14256 + 
       (31515131*s[22])/14256 + (469945*s[23])/99 + (16059581*s[24])/3564 - 
       (367979081*s[25])/64152 + (213007469*s[26])/64152 + 6*s[31] - 
       5*s[32] + (15*s[33])/4 - 12*s[34] - 3*s[35] - (65*s[36])/3 + 
       (109*s[37])/6 + 153*s[38] - 625*s[39] + (1982*s[40])/3 - 
       (991*s[41])/2 + (2707*s[42])/3 + (15817*s[43])/33 - 
       (139355*s[44])/264 + (62981*s[45])/132 - (180569*s[46])/44 + 
       (227329*s[47])/792 - (68615*s[48])/792 - (1785331*s[49])/792 + 
       (100846*s[50])/33 + (468161*s[51])/792 + (395075*s[52])/792 - 
       (141463*s[53])/66 + (750*s[54])/11 - (1157961*s[55])/88 - 
       (2749757*s[56])/792 + (6358615*s[57])/1188 - (48563089*s[58])/7128 + 
       (49223167*s[59])/7128 + (153308371*s[60])/4752 - 
       (110931301*s[61])/64152 - 2*s[65] - 4*s[66] + 6*s[67] + 4*s[68] + 
       10*s[69] + 2*s[71] + 6*s[72] - 2*s[73] - (9*s[74])/2 + (9*s[75])/2 - 
       2*s[76] - 3*s[77] + 14*s[78] - (5*s[80])/3) + 
     A11[u, v, w]*HPL[{1}, 1 - v]*((7*s[2])/2 + s[3] + (127*s[4])/2 + 
       (890*s[5])/11 + (3407*s[6])/22 + (349471*s[7])/264 - 
       (114335*s[8])/1188 - (122377*s[9])/108 - (18853*s[10])/54 - 
       (573619*s[11])/396 - (615047*s[12])/396 - (183959*s[13])/198 - 
       (22207*s[14])/99 - (128605*s[15])/72 - (1779641*s[16])/792 - 
       (177877*s[17])/99 - (43549*s[18])/162 - (55423*s[19])/324 - 
       (9550309*s[20])/3564 - (3706471*s[21])/3564 + (2485469*s[22])/3564 + 
       (1199431*s[23])/792 + (10026091*s[24])/7128 - (115135457*s[25])/
        64152 + (67025039*s[26])/64152 + 2*s[31] - s[32]/2 + (5*s[33])/4 - 
       4*s[34] - s[35] - 6*s[36] + (31*s[37])/6 + (95*s[38])/2 - 201*s[39] + 
       213*s[40] - (651*s[41])/4 + (1171*s[42])/4 + 153*s[43] - 
       (1363*s[44])/8 + (445*s[45])/3 - (7841*s[46])/6 + (737*s[47])/8 - 
       (243*s[48])/8 - (5775*s[49])/8 + (3925*s[50])/4 + (4673*s[51])/24 + 
       (1269*s[52])/8 - (24821*s[53])/36 + (323*s[54])/12 - (33721*s[55])/8 - 
       (79721*s[56])/72 + (46210*s[57])/27 - (1403245*s[58])/648 + 
       (1429003*s[59])/648 + (1480891*s[60])/144 - (792715*s[61])/1458 - 
       s[65]/2 - 2*s[66] + 2*s[67] + 2*s[68] + 4*s[69] + s[71]/2 + 2*s[72] - 
       2*s[73] - (3*s[74])/2 + (3*s[75])/2 - s[77] + 6*s[78] + 4*s[79] - 
       (5*s[80])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*J1[w, u, v]*
      ((-25*s[3])/4 - (49*s[4])/4 - (1663*s[5])/352 - (7021*s[6])/352 - 
       (33101*s[7])/264 + (116143*s[8])/9504 + (83231*s[9])/864 + 
       (22015*s[10])/864 + (229135*s[11])/1584 + (523279*s[12])/3168 + 
       (327827*s[13])/3168 - (3109*s[14])/3168 + (46087*s[15])/288 + 
       (664547*s[16])/3168 + (477551*s[17])/3168 + (62875*s[18])/2592 + 
       (30097*s[19])/1296 + (203263*s[20])/891 + (1151263*s[21])/14256 - 
       (1716799*s[22])/28512 - (584743*s[23])/3168 - (3907657*s[24])/28512 + 
       (101066401*s[25])/513216 - (53088517*s[26])/513216 - (7*s[30])/8 - 
       s[32]/8 + (3*s[35])/4 - s[36]/8 - (25*s[37])/48 - (25*s[38])/4 + 
       (161*s[39])/8 - (41*s[40])/2 + (27*s[41])/2 - (423*s[42])/16 - 
       (1631*s[43])/88 + (2841*s[44])/176 - (703*s[45])/33 + 
       (37505*s[46])/264 - (1685*s[47])/176 - (211*s[48])/176 + 
       (6999*s[49])/88 - (8487*s[50])/88 - (557*s[51])/33 - (395*s[52])/22 + 
       (13975*s[53])/198 - (685*s[54])/66 + (39155*s[55])/88 + 
       (96863*s[56])/792 - (383465*s[57])/2376 + (3365963*s[58])/14256 - 
       (3338909*s[59])/14256 - (896927*s[60])/792 + (8411825*s[61])/128304 + 
       s[76]/4 - s[77]/8 - (7*s[78])/4 + (17*s[79])/4 - (5*s[80])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      ((-7*s[2])/2 - (19*s[3])/2 - (99*s[4])/2 - (3161*s[5])/44 - 
       (6177*s[6])/44 - (833203*s[7])/792 + (43807*s[8])/594 + 
       (48323*s[9])/54 + (28319*s[10])/108 + (457147*s[11])/396 + 
       (122759*s[12])/99 + (292115*s[13])/396 + (77899*s[14])/396 + 
       (100685*s[15])/72 + (1412581*s[16])/792 + (188725*s[17])/132 + 
       (80027*s[18])/324 + (32389*s[19])/324 + (7597855*s[20])/3564 + 
       (3045505*s[21])/3564 - (487166*s[22])/891 - (1046483*s[23])/792 - 
       (7548895*s[24])/7128 + (45483643*s[25])/32076 - 
       (13608077*s[26])/16038 - 2*s[31] + s[32]/2 - (5*s[33])/4 + 4*s[34] + 
       s[35] + (14*s[36])/3 - (25*s[37])/6 - (73*s[38])/2 + 166*s[39] - 
       (515*s[40])/3 + (507*s[41])/4 - (2929*s[42])/12 - (3688*s[43])/33 + 
       (34475*s[44])/264 - (3851*s[45])/33 + (22445*s[46])/22 - 
       (73207*s[47])/792 + (37013*s[48])/792 + (421933*s[49])/792 - 
       (95779*s[50])/132 - (128741*s[51])/792 - (109079*s[52])/792 + 
       (68699*s[53])/132 - (3199*s[54])/44 + (826445*s[55])/264 + 
       (720767*s[56])/792 - (497671*s[57])/297 + (12763027*s[58])/7128 - 
       (12597661*s[59])/7128 - (35963863*s[60])/4752 + 
       (7279057*s[61])/16038 + s[65]/2 + 2*s[66] - 2*s[67] - 2*s[68] - 
       4*s[69] + s[70] - s[71]/2 - 2*s[72] + 2*s[73] + (3*s[74])/2 - 
       (3*s[75])/2 + 2*s[76] - s[77] - 8*s[78] + 6*s[79] - (4*s[80])/3) + 
     C21[w, u, v]*((-11*s[4])/2 - (9*s[6])/2 - (1363*s[7])/36 + 
       (209*s[8])/54 + (757*s[9])/27 + (170*s[10])/27 + (1625*s[11])/36 + 
       (472*s[12])/9 + (1399*s[13])/36 - (475*s[14])/36 + (1735*s[15])/36 + 
       (550*s[16])/9 + (457*s[17])/12 - (466*s[18])/81 + (3005*s[19])/162 + 
       (8467*s[20])/162 + (2675*s[21])/324 - (6355*s[22])/324 - 
       (326*s[23])/9 - (4522*s[24])/81 + (103417*s[25])/1458 - 
       (35791*s[26])/1458 + (2*s[36])/3 - s[37]/3 - 2*s[38] + (13*s[39])/2 - 
       (43*s[40])/6 + (11*s[41])/2 - (53*s[42])/6 - (43*s[43])/6 + 
       (77*s[44])/12 - (43*s[45])/6 + (145*s[46])/3 - (31*s[47])/36 - 
       (61*s[48])/36 + (1141*s[49])/36 - (113*s[50])/3 - (185*s[51])/36 - 
       (167*s[52])/36 + (236*s[53])/9 + (4*s[54])/3 + (2027*s[55])/12 + 
       (365*s[56])/12 - (35*s[57])/3 + (7265*s[58])/108 - (8069*s[59])/108 - 
       (94381*s[60])/216 + (6269*s[61])/486 - (2*s[80])/3) + 
     C23[w, u, v]*((-11*s[4])/2 + s[5]/2 - 3*s[6] - (1471*s[7])/36 + 
       (115*s[8])/27 + (1697*s[9])/54 + (481*s[10])/54 + (1799*s[11])/36 + 
       (1073*s[12])/18 + (1519*s[13])/36 - (535*s[14])/36 + (1765*s[15])/36 + 
       (598*s[16])/9 + (461*s[17])/12 - (575*s[18])/162 + (3071*s[19])/162 + 
       (9679*s[20])/162 + (3713*s[21])/324 - (7027*s[22])/324 - 
       (350*s[23])/9 - (4807*s[24])/81 + (220661*s[25])/2916 - 
       (80657*s[26])/2916 + (2*s[36])/3 - s[37]/3 - 3*s[38] + 8*s[39] - 
       (26*s[40])/3 + 7*s[41] - (31*s[42])/3 - (26*s[43])/3 + (23*s[44])/3 - 
       (20*s[45])/3 + (154*s[46])/3 - (13*s[47])/9 - (25*s[48])/9 + 
       (358*s[49])/9 - (125*s[50])/3 - (62*s[51])/9 - (50*s[52])/9 + 
       (233*s[53])/9 + (28*s[54])/3 + (499*s[55])/3 + (83*s[56])/3 - 
       (104*s[57])/3 + (2027*s[58])/27 - (2210*s[59])/27 - (12824*s[60])/27 + 
       (6491*s[61])/486 - (2*s[80])/3) + C19[v, w, u]*
      (-2*s[3] - (3*s[4])/4 - s[5] - (3*s[6])/4 - (445*s[7])/72 + 
       (83*s[8])/108 + (235*s[9])/54 + (71*s[10])/54 + (473*s[11])/72 + 
       (56*s[12])/9 + (175*s[13])/72 + (101*s[14])/72 + (757*s[15])/72 + 
       (479*s[16])/36 + (325*s[17])/24 + (271*s[18])/81 + (233*s[19])/324 + 
       (4543*s[20])/324 + (4223*s[21])/648 - (1243*s[22])/648 - 
       (607*s[23])/36 - (1763*s[24])/324 + (11933*s[25])/1458 - 
       (7847*s[26])/1458 - (2*s[36])/3 - s[37]/6 + (3*s[39])/4 - 
       (13*s[40])/12 + (3*s[41])/4 - (17*s[42])/12 - s[43]/12 + 
       (23*s[44])/24 - (25*s[45])/12 + (43*s[46])/6 - (85*s[47])/72 + 
       (65*s[48])/72 + (115*s[49])/72 - (23*s[50])/6 - (71*s[51])/72 - 
       (5*s[52])/72 + (83*s[53])/18 - (4*s[54])/3 + (613*s[55])/24 + 
       (179*s[56])/24 - (23*s[57])/3 + (2291*s[58])/216 - (2339*s[59])/216 - 
       (20455*s[60])/432 + (2035*s[61])/486 + s[76] - s[80]/3) + 
     C16[u, v, w]*((3*s[4])/4 - (3*s[5])/4 - (5*s[6])/2 - (71*s[7])/72 - 
       (22*s[8])/27 + (263*s[9])/108 + (43*s[10])/108 + (53*s[11])/72 - 
       (19*s[12])/36 - (13*s[13])/24 + (419*s[14])/72 + (21*s[15])/8 + 
       (35*s[16])/12 + (385*s[17])/72 + (577*s[18])/324 - (691*s[19])/324 + 
       (2245*s[20])/324 + (4607*s[21])/648 - (361*s[22])/648 + 
       (49*s[23])/12 + (91*s[24])/324 - (10717*s[25])/5832 - 
       (24995*s[26])/5832 + (2*s[36])/3 - s[37]/6 - (3*s[39])/4 + 
       (13*s[40])/12 - (3*s[41])/4 + (17*s[42])/12 + s[43]/12 - 
       (23*s[44])/24 - (13*s[45])/12 + (85*s[47])/72 - (65*s[48])/72 - 
       (115*s[49])/72 + (11*s[50])/6 + (71*s[51])/72 + (5*s[52])/72 + 
       (67*s[55])/24 + (295*s[56])/72 + (160*s[57])/27 + (323*s[58])/648 + 
       (145*s[59])/648 + (739*s[60])/432 + (5821*s[61])/2916 + 2*s[79] - 
       s[80]/3) + C16[v, w, u]*(2*s[3] + (3*s[4])/4 + s[5] + (3*s[6])/4 + 
       (445*s[7])/72 - (83*s[8])/108 - (235*s[9])/54 - (71*s[10])/54 - 
       (473*s[11])/72 - (56*s[12])/9 - (175*s[13])/72 - (101*s[14])/72 - 
       (757*s[15])/72 - (479*s[16])/36 - (325*s[17])/24 - (271*s[18])/81 - 
       (233*s[19])/324 - (4543*s[20])/324 - (4223*s[21])/648 + 
       (1027*s[22])/648 + (679*s[23])/36 + (1547*s[24])/324 - 
       (10421*s[25])/1458 + (7793*s[26])/1458 + (2*s[36])/3 + s[37]/6 - 
       (3*s[39])/4 + (13*s[40])/12 - (3*s[41])/4 + (17*s[42])/12 + s[43]/12 - 
       (23*s[44])/24 + (13*s[45])/12 - (43*s[46])/6 + (85*s[47])/72 - 
       (65*s[48])/72 - (115*s[49])/72 + (23*s[50])/6 + (71*s[51])/72 + 
       (5*s[52])/72 - (83*s[53])/18 + (4*s[54])/3 - (613*s[55])/24 - 
       (179*s[56])/24 + (29*s[57])/3 - (2435*s[58])/216 + (2483*s[59])/216 + 
       (19447*s[60])/432 - (2125*s[61])/486 - s[76] + s[80]/3) + 
     C19[u, v, w]*((-3*s[4])/4 + (3*s[5])/4 + (5*s[6])/2 + (71*s[7])/72 + 
       (22*s[8])/27 - (263*s[9])/108 - (43*s[10])/108 - (53*s[11])/72 + 
       (19*s[12])/36 + (13*s[13])/24 - (419*s[14])/72 - (21*s[15])/8 - 
       (35*s[16])/12 - (385*s[17])/72 - (577*s[18])/324 + (691*s[19])/324 - 
       (2245*s[20])/324 - (5039*s[21])/648 + (361*s[22])/648 - 
       (49*s[23])/12 - (307*s[24])/324 + (12661*s[25])/5832 + 
       (26939*s[26])/5832 - (2*s[36])/3 + s[37]/6 + (3*s[39])/4 - 
       (13*s[40])/12 + (3*s[41])/4 - (17*s[42])/12 - s[43]/12 + 
       (23*s[44])/24 + (13*s[45])/12 - (85*s[47])/72 + (65*s[48])/72 + 
       (115*s[49])/72 - (11*s[50])/6 - (71*s[51])/72 - (5*s[52])/72 - 
       (67*s[55])/24 - (295*s[56])/72 - (160*s[57])/27 - (1187*s[58])/648 + 
       (719*s[59])/648 - (1027*s[60])/432 - (2257*s[61])/2916 - 2*s[79] + 
       s[80]/3) + C12[w, v, u]*s[80] + C25[w, u, v]*
      (s[3] + 11*s[4] + 6*s[5] + 12*s[6] + (2875*s[7])/18 - (347*s[8])/27 - 
       (3596*s[9])/27 - (1255*s[10])/27 - (3203*s[11])/18 - (1748*s[12])/9 - 
       (2185*s[13])/18 - (23*s[14])/18 - (3943*s[15])/18 - (2447*s[16])/9 - 
       (1247*s[17])/6 - (1468*s[18])/81 - (3350*s[19])/81 - 
       (24493*s[20])/81 - (16817*s[21])/162 + (13633*s[22])/162 + 
       (1429*s[23])/9 + (15941*s[24])/81 - (170869*s[25])/729 + 
       (86935*s[26])/729 - (4*s[36])/3 + (2*s[37])/3 + 8*s[38] - 23*s[39] + 
       (73*s[40])/3 - 19*s[41] + (89*s[42])/3 + (73*s[43])/3 - 
       (131*s[44])/6 + (73*s[45])/3 - (542*s[46])/3 + (61*s[47])/18 + 
       (127*s[48])/18 - (2017*s[49])/18 + (439*s[50])/3 + (335*s[51])/18 + 
       (281*s[52])/18 - (898*s[53])/9 - (68*s[54])/3 - (3841*s[55])/6 - 
       (791*s[56])/6 + 81*s[57] - (13847*s[58])/54 + (15119*s[59])/54 + 
       (172207*s[60])/108 - (16295*s[61])/243 + (4*s[80])/3) + 
     C25[v, w, u]*((-25*s[4])/2 - (68*s[5])/11 - (413*s[6])/22 - 
       (23231*s[7])/132 + (8821*s[8])/594 + (4012*s[9])/27 + 
       (1145*s[10])/27 + (78481*s[11])/396 + (44293*s[12])/198 + 
       (54877*s[13])/396 + (4207*s[14])/396 + (8027*s[15])/36 + 
       (28681*s[16])/99 + (81487*s[17])/396 + (2369*s[18])/81 + 
       (4481*s[19])/162 + (600953*s[20])/1782 + (421225*s[21])/3564 - 
       (333581*s[22])/3564 - (43339*s[23])/198 - (345775*s[24])/1782 + 
       (2073520*s[25])/8019 - (1089406*s[26])/8019 - (4*s[37])/3 - 8*s[38] + 
       29*s[39] - 33*s[40] + 25*s[41] - 41*s[42] - (287*s[43])/11 + 
       (595*s[44])/22 - (760*s[45])/33 + (6547*s[46])/33 - (607*s[47])/66 - 
       (277*s[48])/66 + (7585*s[49])/66 - (1652*s[50])/11 - (615*s[51])/22 - 
       (1565*s[52])/66 + (9782*s[53])/99 - (158*s[54])/33 + 
       (41537*s[55])/66 + (33053*s[56])/198 - (73027*s[57])/297 + 
       (582115*s[58])/1782 - (584977*s[59])/1782 - (650123*s[60])/396 + 
       (1246195*s[61])/16038 - 4*s[79] + (4*s[80])/3) + 
     H1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*(13*s[3] + 46*s[4] + 
       (1927*s[5])/88 + (6493*s[6])/88 + (18778*s[7])/33 - 
       (120455*s[8])/2376 - (99895*s[9])/216 - (27815*s[10])/216 - 
       (255557*s[11])/396 - (577751*s[12])/792 - (358495*s[13])/792 - 
       (17791*s[14])/792 - (52475*s[15])/72 - (748939*s[16])/792 - 
       (540427*s[17])/792 - (65651*s[18])/648 - (31253*s[19])/324 - 
       (955535*s[20])/891 - (1350473*s[21])/3564 + (2062991*s[22])/7128 + 
       (600143*s[23])/792 + (4475345*s[24])/7128 - (109922369*s[25])/128304 + 
       (58117541*s[26])/128304 + (3*s[30])/2 + s[32]/2 + s[35] - 
       (7*s[36])/2 + (41*s[37])/12 + 27*s[38] - (183*s[39])/2 + 99*s[40] - 
       71*s[41] + (499*s[42])/4 + (1829*s[43])/22 - (3523*s[44])/44 + 
       (2834*s[45])/33 - (42631*s[46])/66 + (4549*s[47])/132 + 
       (1315*s[48])/132 - (11923*s[49])/33 + (10291*s[50])/22 + 
       (1819*s[51])/22 + (5059*s[52])/66 - (32152*s[53])/99 + 
       (1018*s[54])/33 - (68033*s[55])/33 - (54872*s[56])/99 + 
       (219623*s[57])/297 - (3776989*s[58])/3564 + (3784387*s[59])/3564 + 
       (2084155*s[60])/396 - (8865289*s[61])/32076 - s[76] + s[77]/2 + 
       3*s[78] - s[79] + (4*s[80])/3) + A11[u, v, w]*HPL[{1}, 1 - u]*
      ((-7*s[2])/2 - s[3] - (127*s[4])/2 - (890*s[5])/11 - (3407*s[6])/22 - 
       (349471*s[7])/264 + (114335*s[8])/1188 + (122377*s[9])/108 + 
       (18853*s[10])/54 + (573619*s[11])/396 + (615047*s[12])/396 + 
       (183959*s[13])/198 + (22207*s[14])/99 + (128605*s[15])/72 + 
       (1779641*s[16])/792 + (177877*s[17])/99 + (43549*s[18])/162 + 
       (55423*s[19])/324 + (9550309*s[20])/3564 + (3706471*s[21])/3564 - 
       (2485469*s[22])/3564 - (1199431*s[23])/792 - (10026091*s[24])/7128 + 
       (115135457*s[25])/64152 - (67025039*s[26])/64152 - 2*s[31] + s[32]/2 - 
       (5*s[33])/4 + 4*s[34] + s[35] + 6*s[36] - (31*s[37])/6 - 
       (95*s[38])/2 + 201*s[39] - 213*s[40] + (651*s[41])/4 - 
       (1171*s[42])/4 - 153*s[43] + (1363*s[44])/8 - (445*s[45])/3 + 
       (7841*s[46])/6 - (737*s[47])/8 + (243*s[48])/8 + (5775*s[49])/8 - 
       (3925*s[50])/4 - (4673*s[51])/24 - (1269*s[52])/8 + (24821*s[53])/36 - 
       (323*s[54])/12 + (33721*s[55])/8 + (79721*s[56])/72 - 
       (46210*s[57])/27 + (1403245*s[58])/648 - (1429003*s[59])/648 - 
       (1480891*s[60])/144 + (792715*s[61])/1458 + s[65]/2 + 2*s[66] - 
       2*s[67] - 2*s[68] - 4*s[69] - s[71]/2 - 2*s[72] + 2*s[73] + 
       (3*s[74])/2 - (3*s[75])/2 + s[77] - 6*s[78] - 4*s[79] + (5*s[80])/3) + 
     HPL[{0, 0, 0, 1}, 1 - u]*Phi6[u, v, w]*((21*s[2])/2 - (221*s[3])/4 - 
       (1317*s[4])/8 + (5135*s[5])/44 + (2271*s[6])/88 + (39361*s[7])/1584 + 
       (391093*s[8])/2376 - (23369*s[9])/108 - (11693*s[10])/54 + 
       (191407*s[11])/1584 + (194621*s[12])/396 + (511817*s[13])/1584 - 
       (1278173*s[14])/1584 - (60083*s[15])/144 - (178643*s[16])/792 - 
       (467449*s[17])/528 - (11723*s[18])/162 + (52133*s[19])/648 - 
       (5803225*s[20])/7128 - (9413831*s[21])/14256 + (1011367*s[22])/14256 - 
       (1359005*s[23])/792 + (1100879*s[24])/7128 + (4842106*s[25])/8019 + 
       (3292829*s[26])/32076 + 3*s[29] - 2*s[30] + 9*s[31] - (3*s[32])/2 + 
       (9*s[33])/4 - 12*s[34] - 3*s[35] - (17*s[36])/6 - (73*s[37])/12 - 
       45*s[38] + (1215*s[39])/8 - (3889*s[40])/24 + (931*s[41])/8 - 
       (4961*s[42])/24 - (3025*s[43])/24 + (6035*s[44])/48 - 
       (3349*s[45])/24 + (12433*s[46])/12 - (9589*s[47])/144 - 
       (151*s[48])/144 + (79351*s[49])/144 - (4429*s[50])/6 - 
       (20567*s[51])/144 - (18761*s[52])/144 + (18197*s[53])/36 - 
       (463*s[54])/6 + (154925*s[55])/48 + (14537*s[56])/16 - 
       (50185*s[57])/36 + (762631*s[58])/432 - (745399*s[59])/432 - 
       (7071127*s[60])/864 + (24337*s[61])/54 - s[66] - 3*s[68] + 2*s[69] + 
       4*s[77] + (11*s[80])/6) + C26[w, u, v]*(s[3] + (33*s[4])/2 + 9*s[5] + 
       (35*s[6])/2 + (2875*s[7])/12 - (347*s[8])/18 - (1798*s[9])/9 - 
       (632*s[10])/9 - (3203*s[11])/12 - (874*s[12])/3 - (2185*s[13])/12 - 
       (11*s[14])/12 - (3943*s[15])/12 - (2447*s[16])/6 - (1247*s[17])/4 - 
       (743*s[18])/27 - (3359*s[19])/54 - (24457*s[20])/54 - 
       (16817*s[21])/108 + (13633*s[22])/108 + (1459*s[23])/6 + 
       (15851*s[24])/54 - (170797*s[25])/486 + (86863*s[26])/486 - 2*s[36] + 
       s[37] + 12*s[38] - (69*s[39])/2 + (73*s[40])/2 - (57*s[41])/2 + 
       (89*s[42])/2 + (73*s[43])/2 - (131*s[44])/4 + (73*s[45])/2 - 
       271*s[46] + (61*s[47])/12 + (127*s[48])/12 - (2023*s[49])/12 + 
       220*s[50] + (335*s[51])/12 + (281*s[52])/12 - (449*s[53])/3 - 
       36*s[54] - (3841*s[55])/4 - (787*s[56])/4 + 127*s[57] - 
       (13919*s[58])/36 + (15191*s[59])/36 + (171967*s[60])/72 - 
       (8185*s[61])/81 + 2*s[80]) + C15[v, w, u]*(3*s[55] + (5*s[57])/3 + 
       (14*s[58])/9 - (41*s[59])/9 + 6*s[60] + (319*s[61])/162 - 2*s[76] + 
       2*s[80]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      Phi6[u, v, w]*((7*s[2])/2 + (25*s[3])/2 + (155*s[4])/2 + 
       (4179*s[5])/44 + (7803*s[6])/44 + (1213463*s[7])/792 - 
       (32602*s[8])/297 - (35066*s[9])/27 - (44677*s[10])/108 - 
       (331741*s[11])/198 - (177037*s[12])/99 - (211493*s[13])/198 - 
       (24590*s[14])/99 - (151873*s[15])/72 - (2081339*s[16])/792 - 
       (140473*s[17])/66 - (95983*s[18])/324 - (75065*s[19])/324 - 
       (11060255*s[20])/3564 - (2131771*s[21])/1782 + (2846461*s[22])/3564 + 
       (1360717*s[23])/792 + (11943893*s[24])/7128 - (66909503*s[25])/32076 + 
       (19359937*s[26])/16038 + 2*s[31] + s[32]/2 + (5*s[33])/4 - 4*s[34] - 
       s[35] - (25*s[36])/3 + 5*s[37] + (117*s[38])/2 - (445*s[39])/2 + 
       (1391*s[40])/6 - (701*s[41])/4 + (3773*s[42])/12 + (11995*s[43])/66 - 
       (50137*s[44])/264 + (2097*s[45])/11 - (51104*s[46])/33 + 
       (71333*s[47])/792 - (12883*s[48])/792 - (674195*s[49])/792 + 
       (154163*s[50])/132 + (160075*s[51])/792 + (133669*s[52])/792 - 
       (330967*s[53])/396 - (203*s[54])/132 - (1365811*s[55])/264 - 
       (1032017*s[56])/792 + (477820*s[57])/297 - (17568109*s[58])/7128 + 
       (18260947*s[59])/7128 + (59052905*s[60])/4752 - 
       (20936543*s[61])/32076 - s[65]/2 - s[66] + 2*s[67] + 3*s[68] + 
       3*s[69] + s[70] + s[71]/2 + 2*s[72] - 2*s[73] - (3*s[74])/2 + 
       (3*s[75])/2 + s[76] - s[77] + 4*s[78] - 6*s[79] + 2*s[80]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*J1[u, v, w]*((11*s[3])/4 - 10*s[4] - 
       (2455*s[5])/352 - (5437*s[6])/352 - (23233*s[7])/132 + 
       (129079*s[8])/9504 + (133223*s[9])/864 + (39415*s[10])/864 + 
       (308401*s[11])/1584 + (686695*s[12])/3168 + (419831*s[13])/3168 + 
       (59591*s[14])/3168 + (65251*s[15])/288 + (917723*s[16])/3168 + 
       (666179*s[17])/3168 + (71203*s[18])/2592 + (33565*s[19])/1296 + 
       (1240501*s[20])/3564 + (1748893*s[21])/14256 - (2774383*s[22])/28512 - 
       (630943*s[23])/3168 - (5610721*s[24])/28512 + (126474817*s[25])/
        513216 - (67016101*s[26])/513216 + (5*s[30])/8 - s[32]/8 + 
       (3*s[35])/4 - s[36]/8 - (73*s[37])/48 - (31*s[38])/4 + (227*s[39])/8 - 
       (133*s[40])/4 + (105*s[41])/4 - (651*s[42])/16 - (2225*s[43])/88 + 
       (4887*s[44])/176 - (1439*s[45])/66 + (52883*s[46])/264 - 
       (1179*s[47])/176 - (893*s[48])/176 + (1231*s[49])/11 - 
       (13899*s[50])/88 - (7459*s[51])/264 - (1899*s[52])/88 + 
       (10139*s[53])/99 - (157*s[54])/66 + (14439*s[55])/22 + 
       (67753*s[56])/396 - (68851*s[57])/297 + (4599041*s[58])/14256 - 
       (4675343*s[59])/14256 - (2664757*s[60])/1584 + 
       (9482345*s[61])/128304 + s[76]/4 - s[77]/8 + (5*s[78])/4 - 
       (31*s[79])/4 + (7*s[80])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      J1[v, w, u]*((-25*s[3])/8 + (91*s[4])/16 + (2569*s[5])/352 + 
       (2605*s[6])/352 + (48265*s[7])/352 - (79567*s[8])/9504 - 
       (101933*s[9])/864 - (42085*s[10])/864 - (464615*s[11])/3168 - 
       (473797*s[12])/3168 - (35371*s[13])/396 - (33721*s[14])/1584 - 
       (3811*s[15])/18 - (782651*s[16])/3168 - (84505*s[17])/396 - 
       (18433*s[18])/2592 - (7235*s[19])/162 - (4049923*s[20])/14256 - 
       (2845289*s[21])/28512 + (130561*s[22])/1782 + (167083*s[23])/3168 + 
       (5481901*s[24])/28512 - (96085351*s[25])/513216 + 
       (52239115*s[26])/513216 + s[30]/8 - (5*s[32])/8 - (21*s[35])/4 - 
       (15*s[36])/8 - (59*s[37])/48 + (25*s[38])/4 - (229*s[39])/16 + 
       (219*s[40])/16 - (195*s[41])/16 + 16*s[42] + (3659*s[43])/176 - 
       (5441*s[44])/352 + (11491*s[45])/528 - (5032*s[46])/33 - 
       (4529*s[47])/1056 + (11245*s[48])/1056 - (102859*s[49])/1056 + 
       (11645*s[50])/88 + (2589*s[51])/352 + (4817*s[52])/1056 - 
       (76279*s[53])/792 - (3601*s[54])/132 - (220985*s[55])/352 - 
       (325751*s[56])/3168 - (332383*s[57])/2376 - (4569673*s[58])/28512 + 
       (5977885*s[59])/28512 + (9362591*s[60])/6336 - 
       (6485315*s[61])/128304 + (5*s[76])/4 - (5*s[77])/8 + s[78]/4 - 
       (11*s[79])/4 + (29*s[80])/12) + C24[w, u, v]*(22*s[4] + 12*s[5] + 
       26*s[6] + (2875*s[7])/9 - (694*s[8])/27 - (7192*s[9])/27 - 
       (2456*s[10])/27 - (3203*s[11])/9 - (3505*s[12])/9 - (2185*s[13])/9 - 
       (59*s[14])/9 - (3943*s[15])/9 - (4894*s[16])/9 - (1247*s[17])/3 - 
       (2828*s[18])/81 - (6646*s[19])/81 - (49202*s[20])/81 - 
       (16817*s[21])/81 + (13633*s[22])/81 + (2822*s[23])/9 + 
       (31990*s[24])/81 - (342170*s[25])/729 + (174302*s[26])/729 - 
       (8*s[36])/3 + (4*s[37])/3 + 16*s[38] - 46*s[39] + (146*s[40])/3 - 
       38*s[41] + (178*s[42])/3 + (146*s[43])/3 - (131*s[44])/3 + 
       (146*s[45])/3 - (1084*s[46])/3 + (61*s[47])/9 + (127*s[48])/9 - 
       (1999*s[49])/9 + (872*s[50])/3 + (335*s[51])/9 + (281*s[52])/9 - 
       (1796*s[53])/9 - (112*s[54])/3 - (3841*s[55])/3 - (803*s[56])/3 + 
       156*s[57] - (13847*s[58])/27 + (15119*s[59])/27 + (172279*s[60])/54 - 
       (32464*s[61])/243 + (8*s[80])/3) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*(10*s[3] - (51*s[4])/8 - (9*s[5])/8 + 
       (21*s[6])/4 - (1745*s[7])/16 + (248*s[8])/27 + (22027*s[9])/216 + 
       (8591*s[10])/216 + (17599*s[11])/144 + (1217*s[12])/9 + 
       (12649*s[13])/144 - (2333*s[14])/144 + (21631*s[15])/144 + 
       (3329*s[16])/18 + (18691*s[17])/144 - (3991*s[18])/648 + 
       (27739*s[19])/648 + (129413*s[20])/648 + (74359*s[21])/1296 - 
       (86987*s[22])/1296 - (5161*s[23])/72 - (98809*s[24])/648 + 
       (1936519*s[25])/11664 - (836143*s[26])/11664 + s[30]/2 + 3*s[36] - 
       (5*s[37])/3 - 7*s[38] + 19*s[39] - 23*s[40] + 21*s[41] - 
       (51*s[42])/2 - (43*s[43])/2 + (91*s[44])/4 - (109*s[45])/12 + 
       (1429*s[46])/12 + (17*s[47])/6 - (35*s[48])/3 + (1289*s[49])/12 - 
       (483*s[50])/4 - (91*s[51])/6 - (109*s[52])/12 + (2459*s[53])/36 + 
       (341*s[54])/6 + (1315*s[55])/3 + (875*s[56])/18 - (11615*s[57])/216 + 
       (13130*s[58])/81 - (63185*s[59])/324 - (43781*s[60])/36 + 
       (62765*s[61])/2916 - s[68]/2 - s[69]/2 - (5*s[76])/2 - s[77]/2 + 
       s[78] - 8*s[79] + (8*s[80])/3) + H1[v, w, u]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*((-27*s[3])/2 - (207*s[4])/4 - (1889*s[5])/88 - 
       (7437*s[6])/88 - (491741*s[7])/792 + (45653*s[8])/792 + 
       (36775*s[9])/72 + (8975*s[10])/72 + (62427*s[11])/88 + 
       (216239*s[12])/264 + (101029*s[13])/198 + (843*s[14])/44 + 
       (13475*s[15])/18 + (793963*s[16])/792 + (134285*s[17])/198 + 
       (3083*s[18])/24 + (643*s[19])/9 + (152821*s[20])/132 + 
       (972815*s[21])/2376 - (190955*s[22])/594 - (754763*s[23])/792 - 
       (1506095*s[24])/2376 + (39998389*s[25])/42768 - 
       (20995393*s[26])/42768 - s[30]/2 - (3*s[32])/2 - 7*s[35] + 
       (5*s[36])/6 - (23*s[37])/4 - 29*s[38] + (441*s[39])/4 - 
       (1501*s[40])/12 + (359*s[41])/4 - (473*s[42])/3 - (11765*s[43])/132 + 
       (25471*s[44])/264 - (3781*s[45])/44 + (23420*s[46])/33 - 
       (38897*s[47])/792 - (2003*s[48])/792 + (301469*s[49])/792 - 
       (33127*s[50])/66 - (87553*s[51])/792 - (78679*s[52])/792 + 
       (65915*s[53])/198 - (2323*s[54])/33 + (554303*s[55])/264 + 
       (511067*s[56])/792 - (733643*s[57])/594 + (9096781*s[58])/7128 - 
       (8693041*s[59])/7128 - (26306297*s[60])/4752 + (9850043*s[61])/32076 + 
       3*s[76] - (3*s[77])/2 - s[78] - 13*s[79] + 5*s[80]) + 
     C27[u, v, w]*((-21*s[2])/2 - (57*s[3])/4 - (1397*s[4])/8 - 
       (9319*s[5])/44 - (37065*s[6])/88 - (5542435*s[7])/1584 + 
       (201241*s[8])/792 + (107365*s[9])/36 + (16363*s[10])/18 + 
       (2024699*s[11])/528 + (271993*s[12])/66 + (3911939*s[13])/1584 + 
       (305963*s[14])/528 + (678817*s[15])/144 + (1177519*s[16])/198 + 
       (7524571*s[17])/1584 + (77587*s[18])/108 + (94939*s[19])/216 + 
       (16763575*s[20])/2376 + (4342139*s[21])/1584 - (8717513*s[22])/4752 - 
       (812963*s[23])/198 - (4378739*s[24])/1188 + (4244221*s[25])/891 - 
       (2467153*s[26])/891 - 6*s[31] + s[32] - (21*s[33])/4 + 12*s[34] + 
       3*s[35] + (58*s[36])/3 - (46*s[37])/3 - 117*s[38] + (2083*s[39])/4 - 
       (6625*s[40])/12 + (1661*s[41])/4 - (9221*s[42])/12 - 
       (49967*s[43])/132 + (28747*s[44])/66 - (12193*s[45])/33 + 
       (146075*s[46])/44 - (25711*s[47])/99 + (43709*s[48])/396 + 
       (178300*s[49])/99 - (81287*s[50])/33 - (199439*s[51])/396 - 
       (166751*s[52])/396 + (57238*s[53])/33 - (1554*s[54])/11 + 
       (463459*s[55])/44 + (284180*s[56])/99 - (5684177*s[57])/1188 + 
       (5026102*s[58])/891 - (20233315*s[59])/3564 - (7616720*s[60])/297 + 
       (90511037*s[61])/64152 + s[64] + 2*s[65] + 4*s[66] - 6*s[67] - 
       6*s[68] - 10*s[69] - 2*s[71] - 6*s[72] + 6*s[73] + (9*s[74])/2 - 
       (9*s[75])/2 + 4*s[76] + 3*s[77] - 14*s[78] - 4*s[79] + (16*s[80])/3) + 
     HPL[{0, 0, 0, 1}, 1 - v]*Phi6[u, v, w]*(6*s[2] - (103*s[3])/4 - 
       (2793*s[4])/8 - (4577*s[5])/44 - (35357*s[6])/88 - 
       (6188285*s[7])/1584 + (1079699*s[8])/2376 + (171769*s[9])/54 + 
       (22111*s[10])/27 + (7018031*s[11])/1584 + (1019903*s[12])/198 + 
       (1649831*s[13])/528 - (252937*s[14])/1584 + (231569*s[15])/48 + 
       (848449*s[16])/132 + (6901537*s[17])/1584 + (110171*s[18])/162 + 
       (382471*s[19])/648 + (50725153*s[20])/7128 + (33744305*s[21])/14256 - 
       (28976533*s[22])/14256 - (200329*s[23])/33 - (3617953*s[24])/891 + 
       (382363243*s[25])/64152 - (190355263*s[26])/64152 + 5*s[29] - 
       3*s[30] + 4*s[31] + s[32] + (9*s[33])/2 - s[34] + (113*s[36])/6 - 
       (289*s[37])/12 - (363*s[38])/2 + (5983*s[39])/8 - (19553*s[40])/24 + 
       (4925*s[41])/8 - (26179*s[42])/24 - (13889*s[43])/24 + 
       (31105*s[44])/48 - (13477*s[45])/24 + (19677*s[46])/4 - 
       (47555*s[47])/144 + (11587*s[48])/144 + (389633*s[49])/144 - 
       (44551*s[50])/12 - (105337*s[51])/144 - (87751*s[52])/144 + 
       (15229*s[53])/6 - (509*s[54])/4 + (754279*s[55])/48 + 
       (606247*s[56])/144 - (180244*s[57])/27 + (10696211*s[58])/1296 - 
       (10761623*s[59])/1296 - (33823253*s[60])/864 + (5941781*s[61])/2916 + 
       (3*s[65])/2 + 2*s[66] - 6*s[67] - 2*s[68] - 8*s[69] - s[70] - 
       (3*s[71])/2 - 6*s[72] + 6*s[73] + (9*s[74])/2 - (9*s[75])/2 + 
       4*s[76] + 8*s[77] - 10*s[78] - 44*s[79] + (95*s[80])/6) + 
     C28[u, v, w]*s[81] + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*Phi6[u, v, w]*
      (-34*s[3] - (15*s[4])/2 - (691*s[5])/22 - (3437*s[6])/44 - 
       (30265*s[7])/88 + (4105*s[8])/198 + (4811*s[9])/18 + (3635*s[10])/36 + 
       (49717*s[11])/132 + (102541*s[12])/264 + (59837*s[13])/264 + 
       (36599*s[14])/264 + (10949*s[15])/24 + (80983*s[16])/132 + 
       (72217*s[17])/132 + (11789*s[18])/108 + (1691*s[19])/54 + 
       (900973*s[20])/1188 + (765977*s[21])/2376 - (372799*s[22])/2376 - 
       (84565*s[23])/264 - (874393*s[24])/2376 + (9533897*s[25])/21384 - 
       (6470117*s[26])/21384 + s[32] + (3*s[33])/2 + (5*s[37])/2 - 2*s[38] + 
       11*s[39] - 8*s[40] - 5*s[41] - (13*s[42])/2 - (236*s[43])/11 + 
       (162*s[44])/11 - (1087*s[45])/11 + (4396*s[46])/11 - (449*s[47])/132 - 
       (4937*s[48])/132 + (10829*s[49])/132 - (5399*s[50])/22 - 
       (619*s[51])/132 - (917*s[52])/66 + (6946*s[53])/33 - (663*s[54])/11 + 
       (63895*s[55])/44 + (21185*s[56])/44 + (453*s[57])/11 + 
       (228187*s[58])/396 - (207277*s[59])/396 - (2417051*s[60])/792 + 
       (253343*s[61])/891 + 30*s[79] - 10*s[80] - 54*s[82]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*Phi6[u, v, w]*
      (30*s[3] + (3*s[4])/2 + (659*s[5])/44 + (89*s[6])/11 + 
       (10255*s[7])/264 + (28135*s[8])/1188 - (2623*s[9])/108 - 
       (944*s[10])/27 - (5789*s[11])/198 + (9953*s[12])/792 + 
       (13315*s[13])/792 - (37517*s[14])/792 - (10585*s[15])/72 - 
       (45571*s[16])/396 - (73003*s[17])/396 - (7241*s[18])/324 - 
       (11863*s[19])/324 - (270659*s[20])/1782 - (617699*s[21])/7128 + 
       (18319*s[22])/7128 - (53729*s[23])/792 + (573193*s[24])/7128 - 
       (159209*s[25])/16038 + (750797*s[26])/16038 + (3*s[33])/2 - 2*s[34] - 
       (11*s[36])/3 - (22*s[37])/3 + 9*s[38] + (127*s[39])/4 - 
       (625*s[40])/12 + (173*s[41])/4 - (839*s[42])/12 - (1931*s[43])/132 + 
       (6449*s[44])/132 + (1363*s[45])/66 + (5725*s[46])/44 - 
       (3743*s[47])/198 + (2843*s[48])/396 + (10240*s[49])/99 - 
       (8575*s[50])/66 - (17855*s[51])/396 - (3079*s[52])/198 + 
       (2835*s[53])/44 - (305*s[54])/11 + (13237*s[55])/44 + 
       (11522*s[56])/99 - (604061*s[57])/1188 + (920299*s[58])/3564 - 
       (829507*s[59])/3564 - (316733*s[60])/297 + (672523*s[61])/32076 - 
       s[71] - 36*s[79] + (64*s[80])/3 - 54*s[82]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      (-8*s[3] - (203*s[4])/8 - (273*s[5])/11 - (1869*s[6])/44 - 
       (79073*s[7])/176 + (4795*s[8])/132 + (9061*s[9])/24 + 
       (1489*s[10])/12 + (43589*s[11])/88 + (95321*s[12])/176 + 
       (55249*s[13])/176 + (11659*s[14])/176 + (29677*s[15])/48 + 
       (69085*s[16])/88 + (53987*s[17])/88 + (2725*s[18])/36 + 
       (5977*s[19])/72 + (731029*s[20])/792 + (515519*s[21])/1584 - 
       (373495*s[22])/1584 - (85587*s[23])/176 - (832099*s[24])/1584 + 
       (8977865*s[25])/14256 - (4844183*s[26])/14256 - s[30]/2 - s[32]/2 + 
       (3*s[35])/2 - (5*s[36])/2 - (55*s[37])/12 - 11*s[38] + (109*s[39])/2 - 
       (123*s[40])/2 + (173*s[41])/4 - (317*s[42])/4 - (478*s[43])/11 + 
       (9951*s[44])/176 - (13031*s[45])/264 + (109013*s[46])/264 - 
       (3301*s[47])/176 - (1541*s[48])/176 + (39779*s[49])/176 - 
       (13801*s[50])/44 - (24179*s[51])/528 - (6013*s[52])/176 + 
       (174283*s[53])/792 - (1459*s[54])/66 + (734455*s[55])/528 + 
       (585637*s[56])/1584 - (862529*s[57])/2376 + (9065351*s[58])/14256 - 
       (9270119*s[59])/14256 - (10820729*s[60])/3168 + 
       (11511655*s[61])/64152 + s[66]/2 - s[69]/2 - s[71]/2 - s[76] - 
       s[77]/2 - s[78] - 6*s[79] + (41*s[80])/6 - 36*s[82]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*
      ((7*s[3])/8 - (461*s[4])/16 - (292*s[5])/11 - (8581*s[6])/176 - 
       (557797*s[7])/1056 + (204103*s[8])/4752 + (24349*s[9])/54 + 
       (31259*s[10])/216 + (1825057*s[11])/3168 + (995701*s[12])/1584 + 
       (1165633*s[13])/3168 + (253615*s[14])/3168 + (208901*s[15])/288 + 
       (1439795*s[16])/1584 + (2246803*s[17])/3168 + (55577*s[18])/648 + 
       (117467*s[19])/1296 + (15382985*s[20])/14256 + 
       (10874329*s[21])/28512 - (8000213*s[22])/28512 - (226957*s[23])/396 - 
       (4340711*s[24])/7128 + (94222307*s[25])/128304 - 
       (51256091*s[26])/128304 + s[30]/2 - s[32]/2 + (3*s[35])/2 - 
       (9*s[36])/4 - (49*s[37])/8 - 13*s[38] + (1053*s[39])/16 - 
       (1257*s[40])/16 + (909*s[41])/16 - (1577*s[42])/16 - 
       (10275*s[43])/176 + (24223*s[44])/352 - (10025*s[45])/176 + 
       (21881*s[46])/44 - (20957*s[47])/1056 - (13763*s[48])/1056 + 
       (289559*s[49])/1056 - (16847*s[50])/44 - (61619*s[51])/1056 - 
       (49657*s[52])/1056 + (5891*s[53])/22 - (1687*s[54])/44 + 
       (1785763*s[55])/1056 + (469945*s[56])/1056 - (174887*s[57])/396 + 
       (7293497*s[58])/9504 - (7565513*s[59])/9504 - (26511695*s[60])/6336 + 
       (4293239*s[61])/21384 + s[66]/2 + (3*s[68])/2 - s[69] - s[71]/2 + 
       s[76]/2 + s[77] - 14*s[79] + (33*s[80])/4 - 36*s[82]) + 
     F1[w, u, v]*HPL[{0, 1, 1}, 1 - u]*(-39*s[3] - 141*s[4] - 
       (1337*s[5])/22 - (1957*s[6])/11 - (37859*s[7])/22 + (14693*s[8])/99 + 
       (12580*s[9])/9 + (7843*s[10])/18 + (260203*s[11])/132 + 
       (293663*s[12])/132 + (92669*s[13])/66 - (2053*s[14])/66 + 
       (6628*s[15])/3 + (189809*s[16])/66 + (270121*s[17])/132 + 
       (6887*s[18])/27 + (20609*s[19])/54 + (943891*s[20])/297 + 
       (323689*s[21])/297 - (527281*s[22])/594 - (277925*s[23])/132 - 
       (2383613*s[24])/1188 + (7014259*s[25])/2673 - (3537451*s[26])/2673 + 
       2*s[30] + 9*s[36] - 17*s[37] - 101*s[38] + (1113*s[39])/4 - 
       (1125*s[40])/4 + (773*s[41])/4 - (1429*s[42])/4 - (10211*s[43])/44 + 
       (19253*s[44])/88 - (5077*s[45])/22 + (75935*s[46])/44 - 
       (9583*s[47])/88 + (383*s[48])/88 + (93429*s[49])/88 - 
       (13900*s[50])/11 - (60227*s[51])/264 - (19869*s[52])/88 + 
       (107935*s[53])/132 + (901*s[54])/11 + (1383979*s[55])/264 + 
       (348709*s[56])/264 - (249485*s[57])/99 + (7117127*s[58])/2376 - 
       (7080785*s[59])/2376 - (2497125*s[60])/176 + (14020517*s[61])/21384 - 
       2*s[68] + 2*s[69] + 4*s[76] - 2*s[77] - 2*s[78] + 16*s[79] - 
       18*s[80] - 18*s[82]) + F1[w, u, v]*HPL[{0, 1, 1}, 1 - v]*
      (3*s[3] - 141*s[4] - (1425*s[5])/22 - (1913*s[6])/11 - 
       (131969*s[7])/66 + (16321*s[8])/99 + (15185*s[9])/9 + 
       (9509*s[10])/18 + (297515*s[11])/132 + (333637*s[12])/132 + 
       (104153*s[13])/66 + (1586*s[14])/33 + 2585*s[15] + (220697*s[16])/66 + 
       (105565*s[17])/44 + (7627*s[18])/27 + (21535*s[19])/54 + 
       (2256337*s[20])/594 + (390800*s[21])/297 - (318151*s[22])/297 - 
       (303203*s[23])/132 - (2776555*s[24])/1188 + (15794227*s[25])/5346 - 
       (4066925*s[26])/2673 - 2*s[30] + 7*s[36] - 5*s[37] - 93*s[38] + 
       (1287*s[39])/4 - (1483*s[40])/4 + (1195*s[41])/4 - (1775*s[42])/4 - 
       (14705*s[43])/44 + (29907*s[44])/88 - (6673*s[45])/22 + 
       (110545*s[46])/44 - (3581*s[47])/88 - (13635*s[48])/88 + 
       (136231*s[49])/88 - (22131*s[50])/11 - (25643*s[51])/88 - 
       (19787*s[52])/88 + (58963*s[53])/44 + (2043*s[54])/11 + 
       (758563*s[55])/88 + (174821*s[56])/88 - (55291*s[57])/33 + 
       (2926567*s[58])/792 - (3098521*s[59])/792 - (11569781*s[60])/528 + 
       (6873025*s[61])/7128 + 2*s[68] - 2*s[69] - 4*s[76] + 2*s[77] + 
       2*s[78] - 40*s[79] + 10*s[80] - 18*s[82]) + 
     H1[u, v, w]*HPL[{0, 1}, 1 - u]*((-13*s[3])/4 + 39*s[4] + 
       (1691*s[5])/88 + (4181*s[6])/88 + (476737*s[7])/792 - 
       (111131*s[8])/2376 - (110425*s[9])/216 - (36473*s[10])/216 - 
       (266759*s[11])/396 - (73831*s[12])/99 - (15476*s[13])/33 - 
       (1421*s[14])/99 - (3153*s[15])/4 - (264053*s[16])/264 - 
       (582251*s[17])/792 - (49637*s[18])/648 - (21547*s[19])/162 - 
       (2036425*s[20])/1782 - (2839003*s[21])/7128 + (289375*s[22])/891 + 
       (40973*s[23])/66 + (1267613*s[24])/1782 - (113092667*s[25])/128304 + 
       (58456511*s[26])/128304 + 2*s[30] - (3*s[32])/2 - (67*s[36])/6 + 
       (35*s[37])/12 + (61*s[38])/2 - (729*s[39])/8 + (2407*s[40])/24 - 
       (625*s[41])/8 + (2867*s[42])/24 + (26225*s[43])/264 - 
       (45607*s[44])/528 + (21685*s[45])/264 - (29573*s[46])/44 + 
       (18317*s[47])/1584 + (57455*s[48])/1584 - (686483*s[49])/1584 + 
       (70819*s[50])/132 + (126079*s[51])/1584 + (105757*s[52])/1584 - 
       (7781*s[53])/22 - (1689*s[54])/22 - (396995*s[55])/176 - 
       (785161*s[56])/1584 + (616975*s[57])/1188 - (14515349*s[58])/14256 + 
       (15376613*s[59])/14256 + (56413391*s[60])/9504 - 
       (3766309*s[61])/16038 + s[66]/2 - (3*s[68])/2 + s[69] - (5*s[76])/2 + 
       s[77] - 4*s[78] + 4*s[79] + (35*s[80])/6 - 15*s[82]) + 
     H1[w, u, v]*HPL[{0, 1}, 1 - v]*((25*s[3])/4 + 42*s[4] + (188*s[5])/11 + 
       (1059*s[6])/22 + (407107*s[7])/792 - (8809*s[8])/198 - 
       (15139*s[9])/36 - (4835*s[10])/36 - (6482*s[11])/11 - 
       (175165*s[12])/264 - (335927*s[13])/792 + (2109*s[14])/88 - 
       (48217*s[15])/72 - (85186*s[16])/99 - (121657*s[17])/198 - 
       (2197*s[18])/36 - (4645*s[19])/36 - (93020*s[20])/99 - 
       (759085*s[21])/2376 + (641005*s[22])/2376 + (454639*s[23])/792 + 
       (1462579*s[24])/2376 - (16911775*s[25])/21384 + 
       (8469775*s[26])/21384 + s[30] + s[32]/2 - (67*s[36])/6 + (5*s[37])/2 + 
       (61*s[38])/2 - (667*s[39])/8 + (2017*s[40])/24 - (527*s[41])/8 + 
       (2495*s[42])/24 + (21803*s[43])/264 - (37885*s[44])/528 + 
       (6671*s[45])/88 - (19141*s[46])/33 + (32111*s[47])/1584 + 
       (29669*s[48])/1584 - (588605*s[49])/1584 + (59797*s[50])/132 + 
       (107401*s[51])/1584 + (99883*s[52])/1584 - (29498*s[53])/99 - 
       (4847*s[54])/66 - (1008319*s[55])/528 - (670607*s[56])/1584 + 
       (584789*s[57])/1188 - (12731875*s[58])/14256 + 
       (13216543*s[59])/14256 + (47371589*s[60])/9504 - 
       (14550227*s[61])/64152 + s[66]/2 + (5*s[68])/2 - s[69] + s[76]/2 + 
       3*s[77] - 7*s[79] + (15*s[80])/2 - 15*s[82]) + 
     F1[u, v, w]*HPL[{0, 0, 1}, 1 - v]*(-10*s[2] - 12*s[3] + (163*s[4])/4 - 
       (5677*s[5])/44 - (1660*s[6])/11 - (240677*s[7])/264 - (4348*s[8])/99 + 
       (31021*s[9])/36 + (12503*s[10])/36 + (248123*s[11])/264 + 
       (108269*s[12])/132 + (42353*s[13])/88 + (162893*s[14])/264 + 
       (33613*s[15])/24 + (71675*s[16])/44 + (438415*s[17])/264 + 
       (29987*s[18])/108 + (6145*s[19])/108 + (2717749*s[20])/1188 + 
       (2632709*s[21])/2376 - (1154203*s[22])/2376 - (9665*s[23])/44 - 
       (1209539*s[24])/1188 + (19392629*s[25])/21384 - 
       (17186693*s[26])/21384 - 3*s[29] + 2*s[30] - 7*s[31] - s[32] - 
       3*s[33] + 9*s[34] - s[36]/3 - 3*s[37] - 21*s[38] + 50*s[39] - 
       (140*s[40])/3 + 28*s[41] - (175*s[42])/3 - (1402*s[43])/33 + 
       (2513*s[44])/66 - (1205*s[45])/22 + (21365*s[46])/66 - 
       (4333*s[47])/198 - (3409*s[48])/198 + (36979*s[49])/198 - 
       (6049*s[50])/33 - (7157*s[51])/198 - (7781*s[52])/198 + 
       (13469*s[53])/99 - (806*s[54])/33 + (29017*s[55])/33 + 
       (55609*s[56])/198 - (321241*s[57])/594 + (524518*s[58])/891 - 
       (992723*s[59])/1782 - (1408547*s[60])/594 + (4916881*s[61])/32076 + 
       s[66] - s[68] - s[69] - s[70] + s[76] - 2*s[78] + 16*s[79] - 5*s[80] - 
       12*s[82]) + HPL[{0, 1}, 1 - v]*K1[w, u, v]*
      ((-7*s[2])/2 - (71*s[3])/2 - (317*s[4])/4 - (3629*s[5])/44 - 
       (2333*s[6])/11 - (259297*s[7])/198 + (118231*s[8])/1188 + 
       (29306*s[9])/27 + (29827*s[10])/108 + (1163251*s[11])/792 + 
       (323285*s[12])/198 + (258139*s[13])/264 + (183883*s[14])/792 + 
       (4933*s[15])/3 + (575405*s[16])/264 + (1301105*s[17])/792 + 
       (112261*s[18])/324 + (6293*s[19])/81 + (4662079*s[20])/1782 + 
       (7428349*s[21])/7128 - (4733909*s[22])/7128 - (505727*s[23])/264 - 
       (9026561*s[24])/7128 + (29356861*s[25])/16038 - 
       (34768223*s[26])/32076 - 2*s[31] + s[32]/2 - (5*s[33])/4 + 4*s[34] + 
       s[35] - (13*s[36])/3 - 8*s[37] - (101*s[38])/2 + 221*s[39] - 
       (701*s[40])/3 + (651*s[41])/4 - (3883*s[42])/12 - (4738*s[43])/33 + 
       (45539*s[44])/264 - (1756*s[45])/11 + (87809*s[46])/66 - 
       (106027*s[47])/792 + (39833*s[48])/792 + (520525*s[49])/792 - 
       (115399*s[50])/132 - (173693*s[51])/792 - (154019*s[52])/792 + 
       (246311*s[53])/396 - (29717*s[54])/132 + (333823*s[55])/88 + 
       (1017871*s[56])/792 - (786227*s[57])/297 + (17873447*s[58])/7128 - 
       (16917737*s[59])/7128 - (45494107*s[60])/4752 + 
       (19936555*s[61])/32076 + s[65]/2 + 2*s[66] - 2*s[67] - 4*s[69] + 
       s[70] - s[71]/2 - 2*s[72] + 2*s[73] + (3*s[74])/2 - (3*s[75])/2 + 
       4*s[76] + s[77] - 8*s[78] + 8*s[79] + 3*s[80] - 12*s[82]) + 
     F1[v, w, u]*HPL[{0, 0, 1}, 1 - u]*(34*s[3] + (665*s[4])/4 + 
       (2169*s[5])/44 + (2165*s[6])/11 + (445175*s[7])/264 - 
       (128939*s[8])/594 - (143339*s[9])/108 - (36481*s[10])/108 - 
       (1504765*s[11])/792 - (869845*s[12])/396 - (1041457*s[13])/792 + 
       (101489*s[14])/792 - (153965*s[15])/72 - (555469*s[16])/198 - 
       (1554085*s[17])/792 - (101407*s[18])/324 - (82151*s[19])/324 - 
       (10705019*s[20])/3564 - (7152091*s[21])/7128 + (6040697*s[22])/7128 + 
       (284266*s[23])/99 + (3026279*s[24])/1782 - (165925921*s[25])/64152 + 
       (82495741*s[26])/64152 - 4*s[29] + 2*s[30] + s[33] - 2*s[34] - 
       2*s[35] - 14*s[36] + 6*s[37] + 79*s[38] - 332*s[39] + 338*s[40] - 
       (509*s[41])/2 + (955*s[42])/2 + (2752*s[43])/11 - (11741*s[44])/44 + 
       (3011*s[45])/11 - (24810*s[46])/11 + (20941*s[47])/132 - 
       (9287*s[48])/132 - (154783*s[49])/132 + (36693*s[50])/22 + 
       (40919*s[51])/132 + (34277*s[52])/132 - (80843*s[53])/66 + 
       (1351*s[54])/22 - (328399*s[55])/44 - (259645*s[56])/132 + 
       (260134*s[57])/99 - (4346009*s[58])/1188 + (4465655*s[59])/1188 + 
       (13820437*s[60])/792 - (5275849*s[61])/5346 - s[65] - 2*s[66] + 
       4*s[67] + 6*s[68] + 6*s[69] - 2*s[70] + s[71] + 4*s[72] - 4*s[73] - 
       3*s[74] + 3*s[75] - 4*s[76] + 4*s[77] + 8*s[78] - 20*s[79] + 
       10*s[80] - 12*s[82]) + HPL[{0, 1}, 1 - u]*K1[u, v, w]*
      ((7*s[2])/2 + 18*s[3] + (185*s[4])/4 + (3667*s[5])/44 + 
       (2577*s[6])/22 + (114313*s[7])/99 - (85843*s[8])/1188 - 
       (52531*s[9])/54 - (39001*s[10])/108 - (979315*s[11])/792 - 
       (124453*s[12])/99 - (593261*s[13])/792 - (156007*s[14])/792 - 
       (15320*s[15])/9 - (1607831*s[16])/792 - (156789*s[17])/88 - 
       (66637*s[18])/324 - (19112*s[19])/81 - (2102510*s[20])/891 - 
       (6683437*s[21])/7128 + (4227449*s[22])/7128 + (837241*s[23])/792 + 
       (9470573*s[24])/7128 - (48651137*s[25])/32076 + 
       (14458333*s[26])/16038 + s[30] + 2*s[31] - (3*s[32])/2 + (5*s[33])/4 - 
       4*s[34] - s[35] - (52*s[36])/3 - 2*s[37] + (85*s[38])/2 - 
       (279*s[39])/2 + (773*s[40])/6 - (393*s[41])/4 + (2201*s[42])/12 + 
       (8443*s[43])/66 - (29305*s[44])/264 + (1742*s[45])/11 - 
       (36599*s[46])/33 + (38117*s[47])/792 - (10459*s[48])/792 - 
       (488483*s[49])/792 + (115007*s[50])/132 + (84763*s[51])/792 + 
       (72493*s[52])/792 - (261295*s[53])/396 - (18299*s[54])/132 - 
       (1074803*s[55])/264 - (671201*s[56])/792 + (245021*s[57])/594 - 
       (11125501*s[58])/7128 + (12366331*s[59])/7128 + 
       (43733405*s[60])/4752 - (14956325*s[61])/32076 - s[65]/2 - s[66] + 
       2*s[67] + 2*s[68] + 4*s[69] + s[70] + s[71]/2 + 2*s[72] - 2*s[73] - 
       (3*s[74])/2 + (3*s[75])/2 - 4*s[76] + 2*s[78] - 36*s[79] + 23*s[80] - 
       12*s[82]) + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*Phi6[u, v, w]*
      ((9*s[3])/2 - (85*s[4])/4 - (85*s[5])/44 - (1541*s[6])/44 - 
       (16987*s[7])/88 + (27685*s[8])/1188 + (8863*s[9])/54 + 
       (1093*s[10])/108 + (46231*s[11])/198 + (236627*s[12])/792 + 
       (153721*s[13])/792 - (1409*s[14])/792 + (11495*s[15])/72 + 
       (28208*s[16])/99 + (48971*s[17])/396 + (15241*s[18])/324 - 
       (3943*s[19])/324 + (1165793*s[20])/3564 + (711781*s[21])/7128 - 
       (759947*s[22])/7128 - (336233*s[23])/792 - (1060217*s[24])/7128 + 
       (5196187*s[25])/16038 - (4907855*s[26])/32076 - s[36] - (61*s[37])/6 - 
       10*s[38] + (227*s[39])/4 - (279*s[40])/4 + (207*s[41])/4 - 
       (347*s[42])/4 - (2117*s[43])/44 + (2417*s[44])/44 - (3437*s[45])/132 + 
       (10304*s[46])/33 - (1933*s[47])/66 - (1391*s[48])/132 + 
       (6062*s[49])/33 - (4581*s[50])/22 - (3105*s[51])/44 - 
       (1513*s[52])/33 + (28415*s[53])/198 - (5939*s[54])/66 + 
       (110767*s[55])/132 + (59821*s[56])/198 - (792155*s[57])/1188 + 
       (509455*s[58])/891 - (1949341*s[59])/3564 - (629881*s[60])/264 + 
       (7719275*s[61])/64152 - 20*s[79] + (29*s[80])/3 - 11*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*Phi6[u, v, w]*
      ((7*s[3])/4 - (103*s[4])/8 + (19*s[5])/22 - (2207*s[6])/88 - 
       (20701*s[7])/176 + (30797*s[8])/2376 + (2975*s[9])/27 - 
       (425*s[10])/108 + (232451*s[11])/1584 + (157541*s[12])/792 + 
       (208367*s[13])/1584 + (14513*s[14])/1584 + (9319*s[15])/144 + 
       (134587*s[16])/792 + (70529*s[17])/1584 + (11509*s[18])/324 - 
       (18359*s[19])/648 + (1444567*s[20])/7128 + (858215*s[21])/14256 - 
       (1025779*s[22])/14256 - (57719*s[23])/198 - (253447*s[24])/3564 + 
       (12891427*s[25])/64152 - (5972983*s[26])/64152 - 4*s[30] - 
       (3*s[36])/2 - (113*s[37])/12 - 3*s[38] + (331*s[39])/8 - 
       (447*s[40])/8 + (335*s[41])/8 - (583*s[42])/8 - (2109*s[43])/88 + 
       (7037*s[44])/176 - (3979*s[45])/264 + (29939*s[46])/132 - 
       (15295*s[47])/528 + (4439*s[48])/528 + (56005*s[49])/528 - 
       (3425*s[50])/22 - (28345*s[51])/528 - (21947*s[52])/528 + 
       (38743*s[53])/396 - (2512*s[54])/33 + (104763*s[55])/176 + 
       (401033*s[56])/1584 - (361225*s[57])/594 + (6411805*s[58])/14256 - 
       (5701705*s[59])/14256 - (5152529*s[60])/3168 + (6322853*s[61])/64152 - 
       20*s[79] + (73*s[80])/6 - 11*s[82]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      K1[w, u, v]*((-75*s[3])/4 - (365*s[4])/8 - (105*s[5])/4 - 
       (535*s[6])/8 - (85037*s[7])/144 + (10385*s[8])/216 + (25607*s[9])/54 + 
       (4211*s[10])/27 + (96485*s[11])/144 + (6700*s[12])/9 + 
       (22085*s[13])/48 + (2081*s[14])/144 + (12633*s[15])/16 + 
       (24227*s[16])/24 + (109099*s[17])/144 + (16003*s[18])/162 + 
       (84599*s[19])/648 + (728107*s[20])/648 + (525911*s[21])/1296 - 
       (385879*s[22])/1296 - (17489*s[23])/24 - (447665*s[24])/648 + 
       (5134657*s[25])/5832 - (2725375*s[26])/5832 + s[35] + (5*s[36])/6 - 
       (31*s[37])/12 - 30*s[38] + (685*s[39])/8 - (2075*s[40])/24 + 
       (481*s[41])/8 - (2563*s[42])/24 - (2027*s[43])/24 + (3769*s[44])/48 - 
       (2383*s[45])/24 + (2677*s[46])/4 - (2999*s[47])/144 - 
       (3725*s[48])/144 + (57365*s[49])/144 - (1498*s[50])/3 - 
       (8941*s[51])/144 - (8683*s[52])/144 + (4193*s[53])/12 + 
       (105*s[54])/2 + (108631*s[55])/48 + (76891*s[56])/144 - 
       (52183*s[57])/108 + (1331039*s[58])/1296 - (1386191*s[59])/1296 - 
       (4889021*s[60])/864 + (410653*s[61])/1458 - 2*s[78] + 16*s[79] - 
       (43*s[80])/6 - 9*s[82]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*K1[u, v, w]*
      ((53*s[3])/4 - (341*s[4])/8 - (1169*s[5])/44 - (4629*s[6])/88 - 
       (1117711*s[7])/1584 + (133159*s[8])/2376 + (32927*s[9])/54 + 
       (10633*s[10])/54 + (1241971*s[11])/1584 + (343241*s[12])/396 + 
       (93837*s[13])/176 + (71227*s[14])/1584 + (14993*s[15])/16 + 
       (312965*s[16])/264 + (1386125*s[17])/1584 + (14893*s[18])/162 + 
       (90299*s[19])/648 + (9817001*s[20])/7128 + (6802117*s[21])/14256 - 
       (5515409*s[22])/14256 - (66383*s[23])/88 - (5920009*s[24])/7128 + 
       (64743761*s[25])/64152 - (33608891*s[26])/64152 + 3*s[30] + s[35] + 
       (5*s[36])/6 - (55*s[37])/12 - 33*s[38] + (869*s[39])/8 - 
       (2963*s[40])/24 + (769*s[41])/8 - (3571*s[42])/24 - 
       (28345*s[43])/264 + (57803*s[44])/528 - (23741*s[45])/264 + 
       (34827*s[46])/44 - (24757*s[47])/1584 - (58087*s[48])/1584 + 
       (775279*s[49])/1584 - (21158*s[50])/33 - (153863*s[51])/1584 - 
       (121313*s[52])/1584 + (18409*s[53])/44 + (1275*s[54])/22 + 
       (472583*s[55])/176 + (978785*s[56])/1584 - (198365*s[57])/297 + 
       (17176837*s[58])/14256 - (18074245*s[59])/14256 - 
       (65827903*s[60])/9504 + (8946499*s[61])/32076 + 2*s[78] - 20*s[79] + 
       (17*s[80])/6 - 9*s[82]) + A3[v, w, u]*HPL[{1}, 1 - v]*
      ((-6*s[5])/11 + (13*s[6])/11 - (137*s[7])/22 + (38*s[8])/99 + 
       (46*s[9])/9 + (35*s[10])/9 + (241*s[11])/33 + (535*s[12])/66 + 
       (131*s[13])/66 + (107*s[14])/66 + (73*s[15])/6 + (499*s[16])/33 + 
       (415*s[17])/33 + (8*s[18])/27 + (97*s[19])/27 + (5770*s[20])/297 + 
       (3191*s[21])/594 - (2269*s[22])/594 - (307*s[23])/66 - 
       (7459*s[24])/594 + (44909*s[25])/5346 - (20249*s[26])/5346 - s[38] - 
       s[41] + s[42] - (14*s[43])/11 + (47*s[44])/22 - (12*s[45])/11 + 
       (68*s[46])/11 + (181*s[47])/66 - (347*s[48])/66 + (689*s[49])/66 - 
       (72*s[50])/11 + (91*s[51])/22 + (167*s[52])/66 + (146*s[53])/33 + 
       (106*s[54])/11 + (2357*s[55])/66 + (25*s[56])/22 + (943*s[57])/33 - 
       (113*s[58])/66 - (105*s[59])/22 - (39581*s[60])/396 + 
       (1351*s[61])/1782 - 6*s[82]) + A3[u, v, w]*HPL[{1}, 1 - u]*
      ((-6*s[5])/11 + (13*s[6])/11 - (137*s[7])/22 + (20*s[8])/33 + 
       (16*s[9])/3 + (11*s[10])/3 + (73*s[11])/11 + (149*s[12])/22 + 
       (51*s[13])/22 + (21*s[14])/22 + (23*s[15])/2 + (159*s[16])/11 + 
       (142*s[17])/11 + (2*s[18])/9 + (31*s[19])/9 + (1663*s[20])/99 + 
       (1115*s[21])/198 - (727*s[22])/198 - (73*s[23])/22 - 
       (2017*s[24])/198 + (13547*s[25])/1782 - (6977*s[26])/1782 + 
       (8*s[43])/11 + (18*s[44])/11 - (12*s[45])/11 + (68*s[46])/11 - 
       s[47]/11 - s[48]/11 + (47*s[49])/11 - (94*s[50])/11 - (15*s[51])/11 + 
       (26*s[52])/11 + (56*s[53])/11 + (106*s[54])/11 + (1151*s[55])/33 + 
       (29*s[56])/11 + (272*s[57])/33 + (617*s[58])/99 - (797*s[59])/99 - 
       (5231*s[60])/66 + (2408*s[61])/891 - 6*s[82]) + 
     F1[v, w, u]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      ((-3*s[3])/4 + (67*s[4])/8 + (199*s[5])/44 + (1191*s[6])/88 + 
       (20425*s[7])/176 - (24601*s[8])/2376 - (5261*s[9])/54 - 
       (704*s[10])/27 - (201793*s[11])/1584 - (55637*s[12])/396 - 
       (139567*s[13])/1584 - (12625*s[14])/1584 - (21815*s[15])/144 - 
       (148559*s[16])/792 - (223063*s[17])/1584 - (1514*s[18])/81 - 
       (11021*s[19])/648 - (1546463*s[20])/7128 - (1077319*s[21])/14256 + 
       (863327*s[22])/14256 + (114691*s[23])/792 + (879181*s[24])/7128 - 
       (10786697*s[25])/64152 + (5667947*s[26])/64152 - s[36]/2 + 
       (7*s[37])/12 + 5*s[38] - (151*s[39])/8 + (171*s[40])/8 - 
       (131*s[41])/8 + (219*s[42])/8 + (1497*s[43])/88 - (2619*s[44])/176 + 
       (4115*s[45])/264 - (17161*s[46])/132 + (4237*s[47])/528 - 
       (977*s[48])/528 - (34183*s[49])/528 + (1070*s[50])/11 + 
       (10799*s[51])/528 + (9617*s[52])/528 - (27089*s[53])/396 + 
       (1321*s[54])/66 - (74749*s[55])/176 - (182587*s[56])/1584 + 
       (170653*s[57])/1188 - (2988959*s[58])/14256 + (3032807*s[59])/14256 + 
       (1097837*s[60])/1056 - (1727345*s[61])/32076 + 4*s[79] - (5*s[80])/6 - 
       6*s[82]) + F1[u, v, w]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      ((19*s[3])/4 + (67*s[4])/8 + (243*s[5])/44 + (1455*s[6])/88 + 
       (57755*s[7])/528 - (2357*s[8])/264 - (535*s[9])/6 - (70*s[10])/3 - 
       (21033*s[11])/176 - (5737*s[12])/44 - (42973*s[13])/528 - 
       (1833*s[14])/176 - (7021*s[15])/48 - (47789*s[16])/264 - 
       (75557*s[17])/528 - (200*s[18])/9 - (1061*s[19])/72 - 
       (162731*s[20])/792 - (40973*s[21])/528 + (85771*s[22])/1584 + 
       (39433*s[23])/264 + (89405*s[24])/792 - (123667*s[25])/792 + 
       (69121*s[26])/792 + s[30] - s[36]/2 + (3*s[37])/4 + 4*s[38] - 
       (131*s[39])/8 + (143*s[40])/8 - (107*s[41])/8 + (191*s[42])/8 + 
       (1189*s[43])/88 - (2047*s[44])/176 + (1665*s[45])/88 - 
       (5471*s[46])/44 + (5161*s[47])/528 - (3485*s[48])/528 - 
       (26923*s[49])/528 + (960*s[50])/11 + (3057*s[51])/176 + 
       (8693*s[52])/528 - (8663*s[53])/132 + (499*s[54])/22 - 
       (217867*s[55])/528 - (20967*s[56])/176 + (2949*s[57])/22 - 
       (322715*s[58])/1584 + (324419*s[59])/1584 + (2964523*s[60])/3168 - 
       (53146*s[61])/891 - s[80]/2 - 6*s[82]) + F1[v, w, u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*((-3*s[3])/4 + (67*s[4])/8 + (93*s[5])/44 + 
       (829*s[6])/88 + (50383*s[7])/528 - (22795*s[8])/2376 - 
       (8545*s[9])/108 - (557*s[10])/27 - (172987*s[11])/1584 - 
       (99793*s[12])/792 - (126715*s[13])/1584 + (6263*s[14])/1584 - 
       (16835*s[15])/144 - (122549*s[16])/792 - (164101*s[17])/1584 - 
       (3731*s[18])/324 - (12143*s[19])/648 - (1219985*s[20])/7128 - 
       (749875*s[21])/14256 + (724211*s[22])/14256 + (48143*s[23])/396 + 
       (96119*s[24])/891 - (4799977*s[25])/32076 + (2263957*s[26])/32076 - 
       s[36]/2 + (13*s[37])/12 + (11*s[38])/2 - (143*s[39])/8 + 
       (163*s[40])/8 - (127*s[41])/8 + (203*s[42])/8 + (1369*s[43])/88 - 
       (2667*s[44])/176 + (3107*s[45])/264 - (14437*s[46])/132 + 
       (3937*s[47])/528 + (307*s[48])/528 - (34603*s[49])/528 + 
       (1845*s[50])/22 + (3273*s[51])/176 + (8705*s[52])/528 - 
       (21419*s[53])/396 + (577*s[54])/66 - (177523*s[55])/528 - 
       (138271*s[56])/1584 + (177601*s[57])/1188 - (2581763*s[58])/14256 + 
       (2599043*s[59])/14256 + (959209*s[60])/1056 - (654499*s[61])/16038 + 
       4*s[79] - (5*s[80])/6 - 3*s[82]) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      Phi6[u, v, w]*((-3*s[3])/4 + (67*s[4])/8 + (93*s[5])/44 + 
       (829*s[6])/88 + (50383*s[7])/528 - (22795*s[8])/2376 - 
       (8545*s[9])/108 - (557*s[10])/27 - (172987*s[11])/1584 - 
       (99793*s[12])/792 - (126715*s[13])/1584 + (6263*s[14])/1584 - 
       (16835*s[15])/144 - (122549*s[16])/792 - (164101*s[17])/1584 - 
       (3731*s[18])/324 - (12143*s[19])/648 - (1219985*s[20])/7128 - 
       (749875*s[21])/14256 + (724211*s[22])/14256 + (48143*s[23])/396 + 
       (96119*s[24])/891 - (4799977*s[25])/32076 + (2263957*s[26])/32076 - 
       s[36]/2 + (13*s[37])/12 + (11*s[38])/2 - (143*s[39])/8 + 
       (163*s[40])/8 - (127*s[41])/8 + (203*s[42])/8 + (1369*s[43])/88 - 
       (2667*s[44])/176 + (3107*s[45])/264 - (14437*s[46])/132 + 
       (3937*s[47])/528 + (307*s[48])/528 - (34603*s[49])/528 + 
       (1845*s[50])/22 + (3273*s[51])/176 + (8705*s[52])/528 - 
       (21419*s[53])/396 + (577*s[54])/66 - (177523*s[55])/528 - 
       (138271*s[56])/1584 + (177601*s[57])/1188 - (2581763*s[58])/14256 + 
       (2599043*s[59])/14256 + (959209*s[60])/1056 - (654499*s[61])/16038 + 
       4*s[79] - (5*s[80])/6 - 3*s[82]) + F1[w, u, v]*HPL[{1}, 1 - v]^3*
      ((-3*s[3])/4 + (67*s[4])/8 + (93*s[5])/44 + (829*s[6])/88 + 
       (50383*s[7])/528 - (22795*s[8])/2376 - (8545*s[9])/108 - 
       (557*s[10])/27 - (172987*s[11])/1584 - (99793*s[12])/792 - 
       (126715*s[13])/1584 + (6263*s[14])/1584 - (16835*s[15])/144 - 
       (122549*s[16])/792 - (164101*s[17])/1584 - (3731*s[18])/324 - 
       (12143*s[19])/648 - (1219985*s[20])/7128 - (749875*s[21])/14256 + 
       (725795*s[22])/14256 + (48143*s[23])/396 + (96119*s[24])/891 - 
       (4799779*s[25])/32076 + (2263759*s[26])/32076 - s[36]/2 + 
       (13*s[37])/12 + (11*s[38])/2 - (143*s[39])/8 + (163*s[40])/8 - 
       (127*s[41])/8 + (203*s[42])/8 + (1369*s[43])/88 - (2667*s[44])/176 + 
       (3107*s[45])/264 - (14437*s[46])/132 + (3937*s[47])/528 + 
       (307*s[48])/528 - (34603*s[49])/528 + (1845*s[50])/22 + 
       (3273*s[51])/176 + (8705*s[52])/528 - (21419*s[53])/396 + 
       (577*s[54])/66 - (177523*s[55])/528 - (138271*s[56])/1584 + 
       (177601*s[57])/1188 - (2581763*s[58])/14256 + (2599043*s[59])/14256 + 
       (959209*s[60])/1056 - (327200*s[61])/8019 + 4*s[79] - (5*s[80])/6 - 
       3*s[82]) + F1[u, v, w]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      ((19*s[3])/4 + (67*s[4])/8 + (137*s[5])/44 + (1181*s[6])/88 + 
       (17205*s[7])/176 - (6821*s[8])/792 - (2837*s[9])/36 - (377*s[10])/18 - 
       (58601*s[11])/528 - (33257*s[12])/264 - (42209*s[13])/528 - 
       (743*s[14])/528 - (5801*s[15])/48 - (41935*s[16])/264 - 
       (59819*s[17])/528 - (1933*s[18])/108 - (3601*s[19])/216 - 
       (423301*s[20])/2376 - (299297*s[21])/4752 + (232105*s[22])/4752 + 
       (4264*s[23])/33 + (124063*s[24])/1188 - (1587995*s[25])/10692 + 
       (206660*s[26])/2673 + s[30] - s[36]/2 + (3*s[37])/4 + (9*s[38])/2 - 
       (131*s[39])/8 + (143*s[40])/8 - (111*s[41])/8 + (187*s[42])/8 + 
       (1193*s[43])/88 - (2271*s[44])/176 + (1373*s[45])/88 - 
       (4959*s[46])/44 + (4553*s[47])/528 - (1717*s[48])/528 - 
       (30203*s[49])/528 + (884*s[50])/11 + (8939*s[51])/528 + 
       (7957*s[52])/528 - (7345*s[53])/132 + (251*s[54])/22 - 
       (185443*s[55])/528 - (17231*s[56])/176 + (3261*s[57])/22 - 
       (302155*s[58])/1584 + (300379*s[59])/1584 + (2777219*s[60])/3168 - 
       (179345*s[61])/3564 - s[80]/2 - 3*s[82]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*Phi6[u, v, w]*
      ((19*s[3])/4 + (67*s[4])/8 + (137*s[5])/44 + (1181*s[6])/88 + 
       (17205*s[7])/176 - (6821*s[8])/792 - (2837*s[9])/36 - (377*s[10])/18 - 
       (58601*s[11])/528 - (33257*s[12])/264 - (42209*s[13])/528 - 
       (743*s[14])/528 - (5801*s[15])/48 - (41935*s[16])/264 - 
       (59819*s[17])/528 - (1933*s[18])/108 - (3601*s[19])/216 - 
       (423301*s[20])/2376 - (299297*s[21])/4752 + (232105*s[22])/4752 + 
       (4264*s[23])/33 + (124063*s[24])/1188 - (1587995*s[25])/10692 + 
       (206660*s[26])/2673 + s[30] - s[36]/2 + (3*s[37])/4 + (9*s[38])/2 - 
       (131*s[39])/8 + (143*s[40])/8 - (111*s[41])/8 + (187*s[42])/8 + 
       (1193*s[43])/88 - (2271*s[44])/176 + (1373*s[45])/88 - 
       (4959*s[46])/44 + (4553*s[47])/528 - (1717*s[48])/528 - 
       (30203*s[49])/528 + (884*s[50])/11 + (8939*s[51])/528 + 
       (7957*s[52])/528 - (7345*s[53])/132 + (251*s[54])/22 - 
       (185443*s[55])/528 - (17231*s[56])/176 + (3261*s[57])/22 - 
       (302155*s[58])/1584 + (300379*s[59])/1584 + (2777219*s[60])/3168 - 
       (179345*s[61])/3564 - s[80]/2 - 3*s[82]) + 
     F1[w, u, v]*HPL[{1}, 1 - u]^3*((19*s[3])/4 + (67*s[4])/8 + 
       (137*s[5])/44 + (1181*s[6])/88 + (17205*s[7])/176 - (6821*s[8])/792 - 
       (2837*s[9])/36 - (377*s[10])/18 - (58601*s[11])/528 - 
       (33257*s[12])/264 - (42209*s[13])/528 - (743*s[14])/528 - 
       (5801*s[15])/48 - (41935*s[16])/264 - (59819*s[17])/528 - 
       (1933*s[18])/108 - (3601*s[19])/216 - (423301*s[20])/2376 - 
       (299297*s[21])/4752 + (232105*s[22])/4752 + (4264*s[23])/33 + 
       (124063*s[24])/1188 - (1587401*s[25])/10692 + (413023*s[26])/5346 + 
       s[30] - s[36]/2 + (3*s[37])/4 + (9*s[38])/2 - (131*s[39])/8 + 
       (143*s[40])/8 - (111*s[41])/8 + (187*s[42])/8 + (1193*s[43])/88 - 
       (2271*s[44])/176 + (1373*s[45])/88 - (4959*s[46])/44 + 
       (4553*s[47])/528 - (1717*s[48])/528 - (30203*s[49])/528 + 
       (884*s[50])/11 + (8939*s[51])/528 + (7957*s[52])/528 - 
       (7345*s[53])/132 + (251*s[54])/22 - (185443*s[55])/528 - 
       (17231*s[56])/176 + (3261*s[57])/22 - (302155*s[58])/1584 + 
       (300379*s[59])/1584 + (2777219*s[60])/3168 - (179147*s[61])/3564 - 
       s[80]/2 - 3*s[82]) + HPL[{0, 1}, 1 - v]*J1[w, u, v]*
      ((-209*s[3])/16 - (51*s[4])/2 - (168*s[5])/11 - (5195*s[6])/88 - 
       (1030411*s[7])/3168 + (65587*s[8])/2376 + (113593*s[9])/432 + 
       (24953*s[10])/432 + (72971*s[11])/198 + (1337383*s[12])/3168 + 
       (810247*s[13])/3168 + (153323*s[14])/3168 + (112481*s[15])/288 + 
       (208463*s[16])/396 + (97547*s[17])/264 + (113813*s[18])/1296 + 
       (17341*s[19])/1296 + (1128761*s[20])/1782 + (6872615*s[21])/28512 - 
       (4604287*s[22])/28512 - (1663847*s[23])/3168 - (8990929*s[24])/28512 + 
       (121668077*s[25])/256608 - (69642173*s[26])/256608 - s[30]/4 - 
       s[32]/8 - (101*s[36])/24 - (59*s[37])/24 - (101*s[38])/8 + 
       (1723*s[39])/32 - (5857*s[40])/96 + (1295*s[41])/32 - 
       (7535*s[42])/96 - (42923*s[43])/1056 + (93853*s[44])/2112 - 
       (51869*s[45])/1056 + (48863*s[46])/132 - (177839*s[47])/6336 + 
       (8347*s[48])/6336 + (1038461*s[49])/6336 - (125005*s[50])/528 - 
       (355561*s[51])/6336 - (334315*s[52])/6336 + (16642*s[53])/99 - 
       (26921*s[54])/264 + (2253343*s[55])/2112 + (272375*s[56])/704 - 
       (1041431*s[57])/1584 + (12985409*s[58])/19008 - 
       (12073013*s[59])/19008 - (104869733*s[60])/38016 + 
       (5012299*s[61])/28512 - s[66]/8 + (11*s[68])/8 + s[69]/4 + 
       (31*s[76])/8 + (5*s[77])/4 - (9*s[79])/4 + (11*s[80])/24 - 
       (9*s[82])/4) + HPL[{0, 1}, 1 - u]*J1[u, v, w]*
      ((-19*s[3])/16 - (105*s[4])/4 - (5475*s[5])/352 - (18877*s[6])/352 - 
       (1149937*s[7])/3168 + (306403*s[8])/9504 + (266561*s[9])/864 + 
       (59617*s[10])/864 + (646831*s[11])/1584 + (46505*s[12])/99 + 
       (112637*s[13])/396 + (4912*s[14])/99 + (63205*s[15])/144 + 
       (1862503*s[16])/3168 + (424321*s[17])/1056 + (212317*s[18])/2592 + 
       (12491*s[19])/648 + (5077265*s[20])/7128 + (7426619*s[21])/28512 - 
       (682691*s[22])/3564 - (423989*s[23])/792 - (2570299*s[24])/7128 + 
       (268582243*s[25])/513216 - (149002087*s[26])/513216 + s[30]/2 - 
       (13*s[32])/8 - (101*s[36])/24 - (235*s[37])/48 - (117*s[38])/8 + 
       (2089*s[39])/32 - (7351*s[40])/96 + (1825*s[41])/32 - 
       (9395*s[42])/96 - (49985*s[43])/1056 + (123223*s[44])/2112 - 
       (45269*s[45])/1056 + (214823*s[46])/528 - (197309*s[47])/6336 + 
       (26497*s[48])/6336 + (1274147*s[49])/6336 - (150283*s[50])/528 - 
       (442351*s[51])/6336 - (386125*s[52])/6336 + (148085*s[53])/792 - 
       (23885*s[54])/264 + (2493913*s[55])/2112 + (849971*s[56])/2112 - 
       (1199149*s[57])/1584 + (4701245*s[58])/6336 - (4445293*s[59])/6336 - 
       (117986111*s[60])/38016 + (3749657*s[61])/21384 - s[66]/8 - 
       (5*s[68])/8 + (3*s[69])/4 - (3*s[76])/8 + (3*s[77])/4 - s[78] - 
       15*s[79] + (197*s[80])/24 - (9*s[82])/4) + 
     F1[u, v, w]*HPL[{1}, 1 - u]^3*(-2*s[5] - 2*s[6] - (655*s[7])/36 + 
       (5*s[8])/6 + 16*s[9] + (19*s[10])/3 + (63*s[11])/4 + (143*s[12])/12 + 
       (50*s[13])/9 + (71*s[14])/6 + (139*s[15])/4 + (1151*s[16])/36 + 
       (1351*s[17])/36 + (155*s[18])/54 + (187*s[19])/54 + (2393*s[20])/54 + 
       (913*s[21])/54 - (80*s[22])/9 - (23*s[23])/18 - (67*s[24])/3 + 
       (16115*s[25])/972 - (11813*s[26])/972 + s[35] - s[36] - s[37]/2 - 
       s[42]/6 - (2*s[43])/3 - s[44]/4 - 4*s[45] + (55*s[46])/3 + 
       (13*s[47])/36 + (73*s[48])/36 - (7*s[49])/36 - (46*s[50])/3 - 
       s[51]/12 - (13*s[52])/36 + (275*s[53])/18 - (19*s[54])/3 + 
       (3661*s[55])/36 + (257*s[56])/12 + (472*s[57])/9 + (1163*s[58])/108 - 
       (1997*s[59])/108 - (33167*s[60])/216 + (1021*s[61])/108 + 3*s[82]) + 
     F1[v, w, u]*HPL[{1}, 1 - v]^3*((-47*s[5])/12 - (47*s[6])/12 - 
       (1261*s[7])/36 + (199*s[8])/108 + (3367*s[9])/108 + (1277*s[10])/108 + 
       (290*s[11])/9 + (485*s[12])/18 + (121*s[13])/9 + (349*s[14])/18 + 
       (1099*s[15])/18 + (2233*s[16])/36 + (803*s[17])/12 + 
       (2639*s[18])/324 + (298*s[19])/81 + (6752*s[20])/81 + 
       (11183*s[21])/324 - (2843*s[22])/162 - (167*s[23])/9 - 
       (5393*s[24])/162 + (205423*s[25])/5832 - (156103*s[26])/5832 + s[35] - 
       s[36] - s[37]/2 - s[38]/6 + (23*s[39])/12 - (23*s[40])/12 + 
       (7*s[41])/4 - (13*s[42])/4 - (35*s[43])/12 + (29*s[44])/24 - 
       (71*s[45])/12 + (211*s[46])/6 - (59*s[47])/72 + (151*s[48])/72 + 
       (617*s[49])/72 - 28*s[50] - (145*s[51])/72 - (115*s[52])/72 + 
       (236*s[53])/9 - (19*s[54])/3 + (11777*s[55])/72 + (853*s[56])/24 + 
       (779*s[57])/18 + (271*s[58])/8 - (3095*s[59])/72 - 
       (121565*s[60])/432 + (17153*s[61])/972 + 3*s[82]) + 
     F1[w, u, v]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*(-8*s[3] + (105*s[4])/2 + 
       (651*s[5])/22 + (1521*s[6])/22 + (312019*s[7])/396 - 
       (12967*s[8])/198 - (12035*s[9])/18 - (1886*s[10])/9 - 
       (57955*s[11])/66 - (32105*s[12])/33 - (119179*s[13])/198 - 
       (2623*s[14])/66 - (37591*s[15])/36 - (522629*s[16])/396 - 
       (193289*s[17])/198 - (2929*s[18])/27 - (8347*s[19])/54 - 
       (899461*s[20])/594 - (103903*s[21])/198 + (125480*s[22])/297 + 
       (352219*s[23])/396 + (1085891*s[24])/1188 - (4081783*s[25])/3564 + 
       (2120845*s[26])/3564 - 2*s[30] - (7*s[36])/3 + (9*s[37])/2 + 
       37*s[38] - 122*s[39] + (409*s[40])/3 - 104*s[41] + (500*s[42])/3 + 
       (3956*s[43])/33 - (3848*s[44])/33 + (1157*s[45])/11 - 
       (29129*s[46])/33 + (5063*s[47])/198 + (6383*s[48])/198 - 
       (105455*s[49])/198 + (23015*s[50])/33 + (21781*s[51])/198 + 
       (9146*s[52])/99 - (92183*s[53])/198 - (1076*s[54])/33 - 
       (195949*s[55])/66 - (138731*s[56])/198 + (227083*s[57])/297 - 
       (1208984*s[58])/891 + (1263506*s[59])/891 + (9028103*s[60])/1188 - 
       (5262463*s[61])/16038 + 16*s[79] - s[80] + 3*s[82]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Phi6[u, v, w]*
      (-8*s[3] + (105*s[4])/2 + (651*s[5])/22 + (1521*s[6])/22 + 
       (312019*s[7])/396 - (12967*s[8])/198 - (12035*s[9])/18 - 
       (1886*s[10])/9 - (57955*s[11])/66 - (32105*s[12])/33 - 
       (119179*s[13])/198 - (2623*s[14])/66 - (37591*s[15])/36 - 
       (522629*s[16])/396 - (193289*s[17])/198 - (2929*s[18])/27 - 
       (8347*s[19])/54 - (899461*s[20])/594 - (103903*s[21])/198 + 
       (125480*s[22])/297 + (352219*s[23])/396 + (1085891*s[24])/1188 - 
       (4081189*s[25])/3564 + (2120251*s[26])/3564 - 2*s[30] - (7*s[36])/3 + 
       (9*s[37])/2 + 37*s[38] - 122*s[39] + (409*s[40])/3 - 104*s[41] + 
       (500*s[42])/3 + (3956*s[43])/33 - (3848*s[44])/33 + (1157*s[45])/11 - 
       (29129*s[46])/33 + (5063*s[47])/198 + (6383*s[48])/198 - 
       (105455*s[49])/198 + (23015*s[50])/33 + (21781*s[51])/198 + 
       (9146*s[52])/99 - (92183*s[53])/198 - (1076*s[54])/33 - 
       (195949*s[55])/66 - (138731*s[56])/198 + (227083*s[57])/297 - 
       (1208984*s[58])/891 + (1263506*s[59])/891 + (9028103*s[60])/1188 - 
       (2629895*s[61])/8019 + 16*s[79] - s[80] + 3*s[82]) + 
     HPL[{1}, 1 - u]^2*K1[u, v, w]*((-19*s[3])/4 - (67*s[4])/8 - 
       (137*s[5])/44 - (1181*s[6])/88 - (17205*s[7])/176 + (6821*s[8])/792 + 
       (2837*s[9])/36 + (377*s[10])/18 + (58601*s[11])/528 + 
       (33257*s[12])/264 + (42209*s[13])/528 + (215*s[14])/528 + 
       (5801*s[15])/48 + (41935*s[16])/264 + (59819*s[17])/528 + 
       (1933*s[18])/108 + (3601*s[19])/216 + (420925*s[20])/2376 + 
       (299297*s[21])/4752 - (231313*s[22])/4752 - (4363*s[23])/33 - 
       (122875*s[24])/1188 + (1595519*s[25])/10692 - (208541*s[26])/2673 - 
       s[30] - s[35] + (3*s[36])/2 - (3*s[37])/4 - (9*s[38])/2 + 
       (131*s[39])/8 - (143*s[40])/8 + (111*s[41])/8 - (187*s[42])/8 - 
       (1193*s[43])/88 + (2271*s[44])/176 - (1373*s[45])/88 + 
       (4959*s[46])/44 - (4817*s[47])/528 + (1717*s[48])/528 + 
       (30203*s[49])/528 - (884*s[50])/11 - (8939*s[51])/528 - 
       (8221*s[52])/528 + (7345*s[53])/132 - (251*s[54])/22 + 
       (184651*s[55])/528 + (17231*s[56])/176 - (10003*s[57])/66 + 
       (304091*s[58])/1584 - (300731*s[59])/1584 - (2770883*s[60])/3168 + 
       (60559*s[61])/1188 + s[80]/2 + 3*s[82]) + HPL[{1}, 1 - v]^2*
      K1[w, u, v]*((3*s[3])/4 - (67*s[4])/8 - (93*s[5])/44 - (829*s[6])/88 - 
       (50383*s[7])/528 + (22795*s[8])/2376 + (8545*s[9])/108 + 
       (557*s[10])/27 + (172987*s[11])/1584 + (99793*s[12])/792 + 
       (126715*s[13])/1584 - (7847*s[14])/1584 + (16835*s[15])/144 + 
       (122549*s[16])/792 + (164101*s[17])/1584 + (3731*s[18])/324 + 
       (12143*s[19])/648 + (1212857*s[20])/7128 + (749875*s[21])/14256 - 
       (721835*s[22])/14256 - (49727*s[23])/396 - (194317*s[24])/1782 + 
       (4815421*s[25])/32076 - (2279401*s[26])/32076 - s[35] + (3*s[36])/2 - 
       (13*s[37])/12 - (11*s[38])/2 + (143*s[39])/8 - (163*s[40])/8 + 
       (127*s[41])/8 - (203*s[42])/8 - (1369*s[43])/88 + (2667*s[44])/176 - 
       (3107*s[45])/264 + (14437*s[46])/132 - (3673*s[47])/528 - 
       (307*s[48])/528 + (34603*s[49])/528 - (1845*s[50])/22 - 
       (3273*s[51])/176 - (8705*s[52])/528 + (21419*s[53])/396 - 
       (577*s[54])/66 + (177259*s[55])/528 + (138271*s[56])/1584 - 
       (181957*s[57])/1188 + (2597603*s[58])/14256 - (2629139*s[59])/14256 - 
       (955865*s[60])/1056 + (664795*s[61])/16038 - 4*s[79] + (5*s[80])/6 + 
       3*s[82]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      Phi6[u, v, w]*((35*s[3])/2 + (105*s[4])/2 + (366*s[5])/11 + 
       (1769*s[6])/22 + (290533*s[7])/396 - (11467*s[8])/198 - 
       (10835*s[9])/18 - (3469*s[10])/18 - (108623*s[11])/132 - 
       (120017*s[12])/132 - (111049*s[13])/198 - (1256*s[14])/33 - 
       (35287*s[15])/36 - (492527*s[16])/396 - (372409*s[17])/396 - 
       (3325*s[18])/27 - (3971*s[19])/27 - (418487*s[20])/297 - 
       (50623*s[21])/99 + (111824*s[22])/297 + (87892*s[23])/99 + 
       (501067*s[24])/594 - (1271173*s[25])/1188 + (680857*s[26])/1188 - 
       (7*s[36])/3 + 4*s[37] + 35*s[38] - (215*s[39])/2 + (677*s[40])/6 - 
       82*s[41] + (841*s[42])/6 + (6763*s[43])/66 - (12923*s[44])/132 + 
       (1304*s[45])/11 - (27470*s[46])/33 + (11359*s[47])/396 + 
       (8653*s[48])/396 - (186493*s[49])/396 + (20711*s[50])/33 + 
       (34469*s[51])/396 + (31355*s[52])/396 - (86381*s[53])/198 - 
       (1160*s[54])/33 - (371803*s[55])/132 - (271507*s[56])/396 + 
       (197260*s[57])/297 - (4591979*s[58])/3564 + (4764707*s[59])/3564 + 
       (16539103*s[60])/2376 - (5569951*s[61])/16038 - 8*s[79] + 4*s[80] + 
       3*s[82]) + F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      ((35*s[3])/2 + (105*s[4])/2 + (366*s[5])/11 + (1769*s[6])/22 + 
       (290533*s[7])/396 - (11467*s[8])/198 - (10835*s[9])/18 - 
       (3469*s[10])/18 - (108623*s[11])/132 - (120017*s[12])/132 - 
       (111049*s[13])/198 - (1256*s[14])/33 - (35287*s[15])/36 - 
       (492527*s[16])/396 - (372409*s[17])/396 - (3325*s[18])/27 - 
       (3971*s[19])/27 - (418487*s[20])/297 - (50623*s[21])/99 + 
       (223549*s[22])/594 + (87892*s[23])/99 + (501067*s[24])/594 - 
       (423695*s[25])/396 + (75641*s[26])/132 - (7*s[36])/3 + 4*s[37] + 
       35*s[38] - (215*s[39])/2 + (677*s[40])/6 - 82*s[41] + (841*s[42])/6 + 
       (6763*s[43])/66 - (12923*s[44])/132 + (1304*s[45])/11 - 
       (27470*s[46])/33 + (11359*s[47])/396 + (8653*s[48])/396 - 
       (186493*s[49])/396 + (20711*s[50])/33 + (34469*s[51])/396 + 
       (31355*s[52])/396 - (86381*s[53])/198 - (1160*s[54])/33 - 
       (371803*s[55])/132 - (271507*s[56])/396 + (197260*s[57])/297 - 
       (4591979*s[58])/3564 + (4764707*s[59])/3564 + (16539103*s[60])/2376 - 
       (5568763*s[61])/16038 - 8*s[79] + 4*s[80] + 3*s[82]) + 
     HPL[{0, 1}, 1 - v]*J1[u, v, w]*((-119*s[3])/16 + (163*s[4])/16 + 
       (323*s[5])/88 + (1937*s[6])/176 + (252095*s[7])/1584 - 
       (2369*s[8])/176 - (6871*s[9])/48 - (657*s[10])/16 - 
       (189223*s[11])/1056 - (71937*s[12])/352 - (50539*s[13])/396 - 
       (2165*s[14])/528 - (28355*s[15])/144 - (409843*s[16])/1584 - 
       (548623*s[17])/3168 - (7669*s[18])/432 - (734*s[19])/27 - 
       (1437785*s[20])/4752 - (120925*s[21])/1188 + (12031*s[22])/132 + 
       (631099*s[23])/3168 + (581029*s[24])/3168 - (20210687*s[25])/85536 + 
       (10204019*s[26])/85536 - (3*s[30])/4 - s[32]/8 + (17*s[36])/24 + 
       3*s[37] + (59*s[38])/8 - (923*s[39])/32 + (3529*s[40])/96 - 
       (927*s[41])/32 + (4163*s[42])/96 + (26963*s[43])/1056 - 
       (66541*s[44])/2112 + (5411*s[45])/352 - (46721*s[46])/264 + 
       (29495*s[47])/6336 + (63485*s[48])/6336 - (754469*s[49])/6336 + 
       (77035*s[50])/528 + (183529*s[51])/6336 + (136483*s[52])/6336 - 
       (68701*s[53])/792 - (443*s[54])/264 - (1162631*s[55])/2112 - 
       (869039*s[56])/6336 + (1317803*s[57])/4752 - (17558611*s[58])/57024 + 
       (17840887*s[59])/57024 + (59114189*s[60])/38016 - 
       (13551965*s[61])/256608 - s[66]/8 - (5*s[68])/8 + (3*s[69])/4 + 
       (3*s[76])/8 - (3*s[77])/4 - s[78] + (47*s[79])/4 - (33*s[80])/8 + 
       (15*s[82])/4) + HPL[{0, 1}, 1 - u]*J1[v, w, u]*
      (-s[3]/16 + (411*s[4])/16 + (5553*s[5])/352 + (14209*s[6])/352 + 
       (309193*s[7])/792 - (101213*s[8])/3168 - (95365*s[9])/288 - 
       (28301*s[10])/288 - (463445*s[11])/1056 - (129725*s[12])/264 - 
       (955763*s[13])/3168 - (37175*s[14])/1056 - (145897*s[15])/288 - 
       (2084639*s[16])/3168 - (94957*s[17])/198 - (51001*s[18])/864 - 
       (28777*s[19])/432 - (3623707*s[20])/4752 - (2933*s[21])/11 + 
       (1988849*s[22])/9504 + (677537*s[23])/1584 + (2181937*s[24])/4752 - 
       (32397913*s[25])/57024 + (17094637*s[26])/57024 - (5*s[32])/8 - 
       (3*s[35])/2 + (29*s[36])/24 + (57*s[37])/16 + (151*s[38])/8 - 
       (1977*s[39])/32 + (6679*s[40])/96 - (1657*s[41])/32 + 
       (8123*s[42])/96 + (59705*s[43])/1056 - (126343*s[44])/2112 + 
       (18663*s[45])/352 - (232759*s[46])/528 + (93989*s[47])/6336 + 
       (106199*s[48])/6336 - (1628675*s[49])/6336 + (179077*s[50])/528 + 
       (352999*s[51])/6336 + (305197*s[52])/6336 - (22322*s[53])/99 + 
       (2485*s[54])/264 - (1021379*s[55])/704 - (2359073*s[56])/6336 + 
       (1966823*s[57])/4752 - (39201277*s[58])/57024 + 
       (40639261*s[59])/57024 + (143424839*s[60])/38016 - 
       (2758211*s[61])/16038 - (5*s[66])/8 - (13*s[68])/8 + (3*s[69])/4 + 
       (9*s[76])/8 + (3*s[77])/4 + s[78] + 8*s[79] - (19*s[80])/8 + 
       (15*s[82])/4) + HPL[{0, 1}, 1 - v]*J1[v, w, u]*
      ((141*s[3])/16 + (411*s[4])/16 + (1743*s[5])/88 + (8793*s[6])/176 + 
       (644159*s[7])/1584 - (152947*s[8])/4752 - (145787*s[9])/432 - 
       (45463*s[10])/432 - (1430221*s[11])/3168 - (1570373*s[12])/3168 - 
       (79789*s[13])/264 - (78857*s[14])/1584 - (8687*s[15])/16 - 
       (365335*s[16])/528 - (1680407*s[17])/3168 - (99907*s[18])/1296 - 
       (5186*s[19])/81 - (11462195*s[20])/14256 - (2145961*s[21])/7128 + 
       (185500*s[22])/891 + (491273*s[23])/1056 + (13033421*s[24])/28512 - 
       (148193641*s[25])/256608 + (83424133*s[26])/256608 - s[30]/4 + 
       (7*s[32])/8 - (3*s[35])/2 + (29*s[36])/24 + (35*s[37])/12 + 
       (139*s[38])/8 - (1895*s[39])/32 + (6157*s[40])/96 - (1483*s[41])/32 + 
       (7751*s[42])/96 + (59903*s[43])/1056 - (115057*s[44])/2112 + 
       (65845*s[45])/1056 - (40093*s[46])/88 + (98675*s[47])/6336 + 
       (79601*s[48])/6336 - (1591385*s[49])/6336 + (178747*s[50])/528 + 
       (312541*s[51])/6336 + (289423*s[52])/6336 - (63137*s[53])/264 + 
       (1107*s[54])/88 - (1081681*s[55])/704 - (2510587*s[56])/6336 + 
       (1821535*s[57])/4752 - (40445663*s[58])/57024 + 
       (42112931*s[59])/57024 + (144731441*s[60])/38016 - 
       (49040137*s[61])/256608 - (5*s[66])/8 - (13*s[68])/8 + (3*s[69])/4 - 
       (9*s[76])/8 - (3*s[77])/4 + s[78] - (5*s[79])/4 + (29*s[80])/24 + 
       (15*s[82])/4) + HPL[{0, 1}, 1 - u]*J1[w, u, v]*
      ((231*s[3])/16 + (175*s[4])/16 + (929*s[5])/352 + (5865*s[6])/352 + 
       (7673*s[7])/99 - (7823*s[8])/1056 - (1605*s[9])/32 - (1223*s[10])/96 - 
       (102565*s[11])/1056 - (5105*s[12])/44 - (247463*s[13])/3168 + 
       (18605*s[14])/1056 - (25549*s[15])/288 - (404447*s[16])/3168 - 
       (7889*s[17])/99 - (15905*s[18])/864 - (7973*s[19])/432 - 
       (568763*s[20])/4752 - (107441*s[21])/2376 + (100259*s[22])/3168 + 
       (250523*s[23])/1584 + (13965*s[24])/176 - (23079115*s[25])/171072 + 
       (11511271*s[26])/171072 + (11*s[32])/8 + (17*s[36])/24 + s[37]/16 + 
       (51*s[38])/8 - (461*s[39])/32 + (1171*s[40])/96 - (173*s[41])/32 + 
       (1487*s[42])/96 + (11453*s[43])/1056 - (20275*s[44])/2112 + 
       (6379*s[45])/352 - (50839*s[46])/528 + (46985*s[47])/6336 + 
       (17219*s[48])/6336 - (337151*s[49])/6336 + (29053*s[50])/528 + 
       (48163*s[51])/6336 + (76225*s[52])/6336 - (3848*s[53])/99 + 
       (2065*s[54])/264 - (558797*s[55])/2112 - (540293*s[56])/6336 + 
       (762347*s[57])/4752 - (10488097*s[58])/57024 + (9443377*s[59])/57024 + 
       (25482371*s[60])/38016 - (3270239*s[61])/64152 - s[66]/8 + 
       (11*s[68])/8 + s[69]/4 + s[76]/8 - s[77]/4 - 7*s[79] + (13*s[80])/8 + 
       (15*s[82])/4) + A3[u, v, w]*HPL[{1}, 1 - v]*
      ((6*s[5])/11 - (13*s[6])/11 + (137*s[7])/22 - (20*s[8])/33 - 
       (16*s[9])/3 - (11*s[10])/3 - (73*s[11])/11 - (149*s[12])/22 - 
       (51*s[13])/22 - (21*s[14])/22 - (23*s[15])/2 - (159*s[16])/11 - 
       (142*s[17])/11 - (2*s[18])/9 - (31*s[19])/9 - (1663*s[20])/99 - 
       (1115*s[21])/198 + (727*s[22])/198 + (73*s[23])/22 + 
       (2017*s[24])/198 - (13547*s[25])/1782 + (6977*s[26])/1782 - 
       (8*s[43])/11 - (18*s[44])/11 + (12*s[45])/11 - (68*s[46])/11 + 
       s[47]/11 + s[48]/11 - (47*s[49])/11 + (94*s[50])/11 + (15*s[51])/11 - 
       (26*s[52])/11 - (56*s[53])/11 - (106*s[54])/11 - (1151*s[55])/33 - 
       (29*s[56])/11 - (272*s[57])/33 - (617*s[58])/99 + (797*s[59])/99 + 
       (5231*s[60])/66 - (2408*s[61])/891 + 6*s[82]) + 
     A3[v, w, u]*HPL[{1}, 1 - u]*((6*s[5])/11 - (13*s[6])/11 + 
       (137*s[7])/22 - (38*s[8])/99 - (46*s[9])/9 - (35*s[10])/9 - 
       (241*s[11])/33 - (535*s[12])/66 - (131*s[13])/66 - (107*s[14])/66 - 
       (73*s[15])/6 - (499*s[16])/33 - (415*s[17])/33 - (8*s[18])/27 - 
       (97*s[19])/27 - (5770*s[20])/297 - (3191*s[21])/594 + 
       (2269*s[22])/594 + (307*s[23])/66 + (7459*s[24])/594 - 
       (44909*s[25])/5346 + (20249*s[26])/5346 + s[38] + s[41] - s[42] + 
       (14*s[43])/11 - (47*s[44])/22 + (12*s[45])/11 - (68*s[46])/11 - 
       (181*s[47])/66 + (347*s[48])/66 - (689*s[49])/66 + (72*s[50])/11 - 
       (91*s[51])/22 - (167*s[52])/66 - (146*s[53])/33 - (106*s[54])/11 - 
       (2357*s[55])/66 - (25*s[56])/22 - (943*s[57])/33 + (113*s[58])/66 + 
       (105*s[59])/22 + (39581*s[60])/396 - (1351*s[61])/1782 + 6*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      ((-7*s[2])/2 - 20*s[3] - (251*s[4])/4 - (1035*s[5])/11 - 
       (6991*s[6])/44 - (270701*s[7])/198 + (27563*s[8])/297 + 
       (124579*s[9])/108 + (20947*s[10])/54 + (1169351*s[11])/792 + 
       (610001*s[12])/396 + (80631*s[13])/88 + (192461*s[14])/792 + 
       (23329*s[15])/12 + (625139*s[16])/264 + (1583779*s[17])/792 + 
       (21743*s[18])/81 + (17980*s[19])/81 + (2482615*s[20])/891 + 
       (7830341*s[21])/7128 - (5014081*s[22])/7128 - (126479*s[23])/88 - 
       (10773259*s[24])/7128 + (116738471*s[25])/64152 - 
       (69151529*s[26])/64152 - 2*s[31] - s[32]/2 - (5*s[33])/4 + 4*s[34] + 
       s[35] + (31*s[36])/3 - (13*s[37])/6 - (99*s[38])/2 + 182*s[39] - 
       (541*s[40])/3 + (543*s[41])/4 - (3017*s[42])/12 - (4964*s[43])/33 + 
       (39007*s[44])/264 - (5963*s[45])/33 + (88961*s[46])/66 - 
       (60491*s[47])/792 + (20953*s[48])/792 + (561941*s[49])/792 - 
       (134873*s[50])/132 - (124297*s[51])/792 - (107539*s[52])/792 + 
       (300323*s[53])/396 + (3823*s[54])/132 + (1237669*s[55])/264 + 
       (297265*s[56])/264 - (34310*s[57])/33 + (4866661*s[58])/2376 - 
       (5148403*s[59])/2376 - (51429995*s[60])/4752 + (1558138*s[61])/2673 + 
       s[65]/2 + s[66] - 2*s[67] - 3*s[68] - 3*s[69] - s[70] - s[71]/2 - 
       2*s[72] + 2*s[73] + (3*s[74])/2 - (3*s[75])/2 + 3*s[76] + s[77] - 
       4*s[78] + 22*s[79] - (40*s[80])/3 + 6*s[82]) + 
     HPL[{0, 1}, 1 - v]*K1[u, v, w]*((-7*s[2])/2 - 21*s[3] - (199*s[4])/4 - 
       (899*s[5])/11 - (6197*s[6])/44 - (442441*s[7])/396 + (7417*s[8])/99 + 
       (33731*s[9])/36 + (5579*s[10])/18 + (106463*s[11])/88 + 
       (83261*s[12])/66 + (588253*s[13])/792 + (19923*s[14])/88 + 
       (14272*s[15])/9 + (1541833*s[16])/792 + (1309091*s[17])/792 + 
       236*s[18] + (2969*s[19])/18 + (152155*s[20])/66 + 
       (2186765*s[21])/2376 - (1355249*s[22])/2376 - (944873*s[23])/792 - 
       (2873099*s[24])/2376 + (31594703*s[25])/21384 - 
       (19061321*s[26])/21384 - s[30] - 2*s[31] - s[32]/2 - (5*s[33])/4 + 
       4*s[34] + s[35] + (28*s[36])/3 + s[37]/6 - (79*s[38])/2 + 
       (303*s[39])/2 - (875*s[40])/6 + (437*s[41])/4 - (2531*s[42])/12 - 
       (7837*s[43])/66 + (31129*s[44])/264 - (9227*s[45])/66 + 
       (23623*s[46])/22 - (57605*s[47])/792 + (26611*s[48])/792 + 
       (447815*s[49])/792 - (104795*s[50])/132 - (105031*s[51])/792 - 
       (89977*s[52])/792 + (26307*s[53])/44 + (449*s[54])/44 + 
       (321437*s[55])/88 + (720277*s[56])/792 - (1160783*s[57])/1188 + 
       (11876885*s[58])/7128 - (12499631*s[59])/7128 - 
       (39873041*s[60])/4752 + (3871354*s[61])/8019 + s[65]/2 + s[66] - 
       2*s[67] - 4*s[68] - 2*s[69] - s[70] - s[71]/2 - 2*s[72] + 2*s[73] + 
       (3*s[74])/2 - (3*s[75])/2 - 6*s[78] + 26*s[79] - (29*s[80])/3 + 
       6*s[82]) + F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      ((7*s[2])/2 + (53*s[3])/2 + (303*s[4])/2 + (1272*s[5])/11 + 
       (3129*s[6])/11 + (1874005*s[7])/792 - (221203*s[8])/1188 - 
       (213989*s[9])/108 - (15544*s[10])/27 - (1049375*s[11])/396 - 
       (1164685*s[12])/396 - (19838*s[13])/11 - (46525*s[14])/198 - 
       (73223*s[15])/24 - (1044799*s[16])/264 - (292309*s[17])/99 - 
       (37534*s[18])/81 - (107105*s[19])/324 - (16420763*s[20])/3564 - 
       (6121397*s[21])/3564 + (4401781*s[22])/3564 + (262467*s[23])/88 + 
       (18124703*s[24])/7128 - (217323325*s[25])/64152 + 
       (119929771*s[26])/64152 + 2*s[30] + 2*s[31] - s[32]/2 + (5*s[33])/4 - 
       4*s[34] - s[35] - (43*s[36])/6 + (21*s[37])/2 + (203*s[38])/2 - 
       (3077*s[39])/8 + (10051*s[40])/24 - (2543*s[41])/8 + 
       (13073*s[42])/24 + (85025*s[43])/264 - (181561*s[44])/528 + 
       (7053*s[45])/22 - (697943*s[46])/264 + (232805*s[47])/1584 + 
       (43055*s[48])/1584 - (2349647*s[49])/1584 + (259177*s[50])/132 + 
       (571795*s[51])/1584 + (484711*s[52])/1584 - (1067545*s[53])/792 + 
       (7451*s[54])/132 - (4476661*s[55])/528 - (3589373*s[56])/1584 + 
       (3777893*s[57])/1188 - (61805767*s[58])/14256 + 
       (62300749*s[59])/14256 + (201964241*s[60])/9504 - 
       (143190805*s[61])/128304 - s[65]/2 - 2*s[66] + 2*s[67] + s[68] + 
       5*s[69] - s[70] + s[71]/2 + 2*s[72] - 2*s[73] - (3*s[74])/2 + 
       (3*s[75])/2 + 2*s[76] + 7*s[78] + 12*s[79] - 7*s[80] + 6*s[82]) + 
     F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      ((-7*s[2])/2 + (7*s[3])/2 + (49*s[4])/2 - (2241*s[5])/44 - 
       (1607*s[6])/44 - (193385*s[7])/792 - (85*s[8])/33 + (473*s[9])/2 + 
       (1289*s[10])/12 + (13643*s[11])/66 + (1321*s[12])/11 + 
       (4795*s[13])/198 + (7309*s[14])/33 + (35063*s[15])/72 + 
       (395185*s[16])/792 + (125933*s[17])/198 + (9701*s[18])/108 - 
       (395*s[19])/108 + (815383*s[20])/1188 + (107879*s[21])/297 - 
       (49937*s[22])/396 - (57251*s[23])/792 - (61229*s[24])/264 + 
       (1523963*s[25])/10692 - (564197*s[26])/2673 - 2*s[31] - s[32]/2 - 
       (5*s[33])/4 + 4*s[34] + s[35] + (29*s[36])/6 + (49*s[37])/6 + 
       (21*s[38])/2 + (49*s[39])/8 + (25*s[40])/24 + (67*s[41])/8 - 
       (469*s[42])/24 - (397*s[43])/264 + (4973*s[44])/528 - 
       (1673*s[45])/66 + (17049*s[46])/88 - (9121*s[47])/1584 + 
       (30413*s[48])/1584 + (79459*s[49])/1584 - (23321*s[50])/132 - 
       (10007*s[51])/1584 + (21469*s[52])/1584 + (51143*s[53])/264 + 
       (1431*s[54])/44 + (563545*s[55])/528 + (301337*s[56])/1584 + 
       (543085*s[57])/1188 + (1364827*s[58])/14256 - (3072937*s[59])/14256 - 
       (13572109*s[60])/9504 + (15553393*s[61])/128304 + s[65]/2 + s[66] - 
       2*s[67] - 2*s[68] - 4*s[69] - s[70] - s[71]/2 - 2*s[72] + 2*s[73] + 
       (3*s[74])/2 - (3*s[75])/2 + s[76] + 2*s[77] - 3*s[78] + 18*s[79] - 
       (17*s[80])/3 + 6*s[82]) + HPL[{0, 1}, 1 - u]*K1[v, w, u]*
      ((-67*s[3])/4 - (305*s[4])/8 + (12*s[5])/11 - (3211*s[6])/88 - 
       (101323*s[7])/528 + (126689*s[8])/2376 + (12275*s[9])/108 - 
       (233*s[10])/108 + (354263*s[11])/1584 + (29140*s[12])/99 + 
       (256997*s[13])/1584 - (164185*s[14])/1584 + (29203*s[15])/144 + 
       (29324*s[16])/99 + (240341*s[17])/1584 + (20521*s[18])/324 + 
       (247*s[19])/648 + (1752001*s[20])/7128 + (888389*s[21])/14256 - 
       (1103101*s[22])/14256 - (146471*s[23])/198 - (119597*s[24])/1782 + 
       (2775950*s[25])/8019 - (2334751*s[26])/16038 + 2*s[29] - s[30] - 
       s[33]/2 + s[34] - 2*s[35] + (13*s[36])/2 + (17*s[37])/12 - 
       (17*s[38])/2 + (523*s[39])/8 - (471*s[40])/8 + (341*s[41])/8 - 
       (821*s[42])/8 - (2621*s[43])/88 + (6977*s[44])/176 - 
       (11531*s[45])/264 + (51901*s[46])/132 - (29563*s[47])/528 + 
       (28979*s[48])/528 + (82705*s[49])/528 - (11201*s[50])/44 - 
       (34201*s[51])/528 - (28631*s[52])/528 + (43477*s[53])/198 - 
       (5891*s[54])/132 + (645197*s[55])/528 + (605797*s[56])/1584 - 
       (894913*s[57])/1188 + (10283753*s[58])/14256 - (9972173*s[59])/14256 - 
       (2491039*s[60])/1056 + (1695917*s[61])/8019 + s[65]/2 - 2*s[67] - 
       5*s[68] - 2*s[69] + s[70] - s[71]/2 - 2*s[72] + 2*s[73] + 
       (3*s[74])/2 - (3*s[75])/2 + 3*s[76] - 2*s[78] + 18*s[79] - 
       (31*s[80])/6 + 6*s[82]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*((7*s[2])/2 + 24*s[3] + (257*s[4])/4 + 
       (3145*s[5])/44 + (1816*s[6])/11 + (440681*s[7])/396 - 
       (98651*s[8])/1188 - (25045*s[9])/27 - (27215*s[10])/108 - 
       (988043*s[11])/792 - (136271*s[12])/99 - (655837*s[13])/792 - 
       (140807*s[14])/792 - (51163*s[15])/36 - (1479661*s[16])/792 - 
       (125569*s[17])/88 - (88751*s[18])/324 - (7822*s[19])/81 - 
       (1975954*s[20])/891 - (6279509*s[21])/7128 + (4063591*s[22])/7128 + 
       (1214879*s[23])/792 + (7875763*s[24])/7128 - (12461782*s[25])/8019 + 
       (29239117*s[26])/32076 + 2*s[31] - s[32]/2 + (5*s[33])/4 - 4*s[34] - 
       s[35] - (8*s[36])/3 + (37*s[37])/6 + (91*s[38])/2 - 188*s[39] + 
       (581*s[40])/3 - (555*s[41])/4 + (3253*s[42])/12 + (4078*s[43])/33 - 
       (38543*s[44])/264 + (8545*s[45])/66 - (12158*s[46])/11 + 
       (87811*s[47])/792 - (35081*s[48])/792 - (464293*s[49])/792 + 
       (99097*s[50])/132 + (142673*s[51])/792 + (124715*s[52])/792 - 
       (23249*s[53])/44 + (4611*s[54])/44 - (281947*s[55])/88 - 
       (795275*s[56])/792 + (627508*s[57])/297 - (14595403*s[58])/7128 + 
       (14042425*s[59])/7128 + (38306839*s[60])/4752 - 
       (16116497*s[61])/32076 - s[65]/2 - 2*s[66] + 2*s[67] + 2*s[68] + 
       4*s[69] - s[70] + s[71]/2 + 2*s[72] - 2*s[73] - (3*s[74])/2 + 
       (3*s[75])/2 + s[77] + 8*s[78] - 12*s[79] - (2*s[80])/3 + 6*s[82]) + 
     HPL[{1}, 1 - v]^2*K1[u, v, w]*((-19*s[3])/4 - (67*s[4])/8 - 
       (243*s[5])/44 - (1455*s[6])/88 - (57755*s[7])/528 + (2357*s[8])/264 + 
       (535*s[9])/6 + (70*s[10])/3 + (21033*s[11])/176 + (5737*s[12])/44 + 
       (42973*s[13])/528 + (2009*s[14])/176 + (7021*s[15])/48 + 
       (47789*s[16])/264 + (75557*s[17])/528 + (200*s[18])/9 + 
       (1061*s[19])/72 + (163523*s[20])/792 + (40973*s[21])/528 - 
       (85771*s[22])/1584 - (38377*s[23])/264 - (88481*s[24])/792 + 
       (123887*s[25])/792 - (69341*s[26])/792 - s[30] + s[36]/2 - 
       (3*s[37])/4 - 4*s[38] + (131*s[39])/8 - (143*s[40])/8 + 
       (107*s[41])/8 - (191*s[42])/8 - (1189*s[43])/88 + (2047*s[44])/176 - 
       (1665*s[45])/88 + (5471*s[46])/44 - (5425*s[47])/528 + 
       (3485*s[48])/528 + (26923*s[49])/528 - (960*s[50])/11 - 
       (3057*s[51])/176 - (8693*s[52])/528 + (8663*s[53])/132 - 
       (499*s[54])/22 + (218131*s[55])/528 + (20967*s[56])/176 - 
       (8605*s[57])/66 + (106985*s[58])/528 - (35675*s[59])/176 - 
       (2974555*s[60])/3168 + (106501*s[61])/1782 + s[80]/2 + 6*s[82]) + 
     HPL[{1}, 1 - u]^2*K1[w, u, v]*((3*s[3])/4 - (67*s[4])/8 - 
       (199*s[5])/44 - (1191*s[6])/88 - (20425*s[7])/176 + 
       (24601*s[8])/2376 + (5261*s[9])/54 + (704*s[10])/27 + 
       (201793*s[11])/1584 + (55637*s[12])/396 + (139567*s[13])/1584 + 
       (14209*s[14])/1584 + (21815*s[15])/144 + (148559*s[16])/792 + 
       (223063*s[17])/1584 + (1514*s[18])/81 + (11021*s[19])/648 + 
       (1553591*s[20])/7128 + (1077319*s[21])/14256 - (863327*s[22])/14256 - 
       (112315*s[23])/792 - (886309*s[24])/7128 + (10768877*s[25])/64152 - 
       (5650127*s[26])/64152 + s[36]/2 - (7*s[37])/12 - 5*s[38] + 
       (151*s[39])/8 - (171*s[40])/8 + (131*s[41])/8 - (219*s[42])/8 - 
       (1497*s[43])/88 + (2619*s[44])/176 - (4115*s[45])/264 + 
       (17161*s[46])/132 - (3973*s[47])/528 + (977*s[48])/528 + 
       (34183*s[49])/528 - (1070*s[50])/11 - (10799*s[51])/528 - 
       (9353*s[52])/528 + (27089*s[53])/396 - (1321*s[54])/66 + 
       (75013*s[55])/176 + (182587*s[56])/1584 - (166693*s[57])/1188 + 
       (2971535*s[58])/14256 - (3029639*s[59])/14256 - (1099949*s[60])/1056 + 
       (1720019*s[61])/32076 - 4*s[79] + (5*s[80])/6 + 6*s[82]) + 
     HPL[{0, 1}, 1 - u]*K1[w, u, v]*((7*s[2])/2 + (65*s[3])/2 + 
       (315*s[4])/4 + (1817*s[5])/22 + (8135*s[6])/44 + (530567*s[7])/396 - 
       (29620*s[8])/297 - (120143*s[9])/108 - (8671*s[10])/27 - 
       (1182067*s[11])/792 - (161446*s[12])/99 - (260659*s[13])/264 - 
       (144523*s[14])/792 - 1751*s[15] - (596099*s[16])/264 - 
       (1388903*s[17])/792 - (24748*s[18])/81 - (24967*s[19])/162 - 
       (4708039*s[20])/1782 - (7398943*s[21])/7128 + (4870883*s[22])/7128 + 
       (470231*s[23])/264 + (9733253*s[24])/7128 - (120122995*s[25])/64152 + 
       (69467845*s[26])/64152 + 2*s[31] + (3*s[32])/2 + (5*s[33])/4 - 
       4*s[34] - s[35] - (11*s[36])/3 + (11*s[37])/2 + (107*s[38])/2 - 
       215*s[39] + (662*s[40])/3 - (631*s[41])/4 + (3673*s[42])/12 + 
       (5008*s[43])/33 - (44771*s[44])/264 + (3693*s[45])/22 - 
       (44761*s[46])/33 + (90631*s[47])/792 - (33053*s[48])/792 - 
       (567661*s[49])/792 + (125479*s[50])/132 + (159365*s[51])/792 + 
       (141551*s[52])/792 - (267323*s[53])/396 + (12413*s[54])/132 - 
       (1093085*s[55])/264 - (953263*s[56])/792 + (2555369*s[57])/1188 - 
       (16983947*s[58])/7128 + (16615433*s[59])/7128 + 
       (48180331*s[60])/4752 - (9802589*s[61])/16038 - s[65]/2 - 2*s[66] + 
       2*s[67] + 4*s[68] + 4*s[69] - s[70] + s[71]/2 + 2*s[72] - 2*s[73] - 
       (3*s[74])/2 + (3*s[75])/2 - 2*s[76] + s[77] + 8*s[78] - 14*s[79] + 
       3*s[80] + 6*s[82]) + HPL[{0, 1}, 1 - v]*K1[v, w, u]*
      ((13*s[2])/2 + (69*s[3])/4 + (203*s[4])/8 + (345*s[5])/4 + 
       (1121*s[6])/8 + (51521*s[7])/48 - (6553*s[8])/216 - 
       (101453*s[9])/108 - (18083*s[10])/54 - (166951*s[11])/144 - 
       (10562*s[12])/9 - (102757*s[13])/144 - (48343*s[14])/144 - 
       (219547*s[15])/144 - (133997*s[16])/72 - (232597*s[17])/144 - 
       (18685*s[18])/81 - (98539*s[19])/648 - (1503779*s[20])/648 - 
       (1250773*s[21])/1296 + (728213*s[22])/1296 + (57343*s[23])/72 + 
       (799375*s[24])/648 - (1982759*s[25])/1458 + (2552995*s[26])/2916 + 
       2*s[29] - s[30] + 4*s[31] + (3*s[32])/2 + (15*s[33])/4 - 5*s[34] - 
       3*s[35] + s[36]/2 + (61*s[37])/12 + 39*s[38] - (941*s[39])/8 + 
       (985*s[40])/8 - (713*s[41])/8 + (1229*s[42])/8 + (9963*s[43])/88 - 
       (18257*s[44])/176 + (31985*s[45])/264 - (113671*s[46])/132 + 
       (6125*s[47])/176 + (4783*s[48])/176 - (88071*s[49])/176 + 
       (13897*s[50])/22 + (17207*s[51])/176 + (15705*s[52])/176 - 
       (175385*s[53])/396 + (151*s[54])/66 - (497903*s[55])/176 - 
       (1124041*s[56])/1584 + (227764*s[57])/297 - (19153589*s[58])/14256 + 
       (19877405*s[59])/14256 + (22759613*s[60])/3168 - 
       (11285273*s[61])/32076 - 2*s[66] - s[68] + 2*s[69] - s[70] - 3*s[76] + 
       3*s[77] + 4*s[78] - 8*s[79] + (43*s[80])/6 + 6*s[82]) + 
     H1[u, v, w]*HPL[{0, 1}, 1 - v]*((-17*s[3])/4 + (281*s[4])/4 + 
       (843*s[5])/22 + (4487*s[6])/44 + (405067*s[7])/396 - 
       (101653*s[8])/1188 - (94445*s[9])/108 - (27073*s[10])/108 - 
       (907519*s[11])/792 - (1021223*s[12])/792 - (156641*s[13])/198 - 
       (28331*s[14])/396 - (47039*s[15])/36 - (669169*s[16])/396 - 
       (106413*s[17])/88 - (55069*s[18])/324 - (12815*s[19])/81 - 
       (7062185*s[20])/3564 - (1241239*s[21])/1782 + (977501*s[22])/1782 + 
       (1032277*s[23])/792 + (8069123*s[24])/7128 - (95507527*s[25])/64152 + 
       (50411083*s[26])/64152 - s[30] + s[32]/2 + (7*s[36])/6 + 
       (26*s[37])/3 + (93*s[38])/2 - (1349*s[39])/8 + (4727*s[40])/24 - 
       (1185*s[41])/8 + (5773*s[42])/24 + (39565*s[43])/264 - 
       (85523*s[44])/528 + (34807*s[45])/264 - (75599*s[46])/66 + 
       (80329*s[47])/1584 + (46339*s[48])/1584 - (1056571*s[49])/1584 + 
       (115685*s[50])/132 + (256823*s[51])/1584 + (213053*s[52])/1584 - 
       (113635*s[53])/198 + (2203*s[54])/66 - (1933913*s[55])/528 - 
       (509243*s[56])/528 + (192529*s[57])/132 - (9050927*s[58])/4752 + 
       (9134243*s[59])/4752 + (90849427*s[60])/9504 - (9351713*s[61])/21384 + 
       s[66]/2 - (3*s[68])/2 + s[69] + (5*s[76])/2 - s[77] - 4*s[78] + 
       33*s[79] - (85*s[80])/6 + 9*s[82]) + F1[w, u, v]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*((-7*s[2])/2 - 33*s[3] - (547*s[4])/4 - 
       (1302*s[5])/11 - (11739*s[6])/44 - (873647*s[7])/396 + 
       (50764*s[8])/297 + (198665*s[9])/108 + (14920*s[10])/27 + 
       (1942903*s[11])/792 + (531545*s[12])/198 + (433379*s[13])/264 + 
       (185755*s[14])/792 + (17467*s[15])/6 + (326217*s[16])/88 + 
       (2260331*s[17])/792 + (69797*s[18])/162 + (26750*s[19])/81 + 
       (7672183*s[20])/1782 + (11563615*s[21])/7128 - (8123579*s[22])/7128 - 
       (713659*s[23])/264 - (16914917*s[24])/7128 + (200628781*s[25])/64152 - 
       (111612463*s[26])/64152 - 2*s[31] + s[32]/2 - (5*s[33])/4 + 4*s[34] + 
       s[35] + (61*s[36])/6 - (29*s[37])/2 - (193*s[38])/2 + (2751*s[39])/8 - 
       (8521*s[40])/24 + (2049*s[41])/8 - (11495*s[42])/24 - 
       (70187*s[43])/264 + (142831*s[44])/528 - (6089*s[45])/22 + 
       (582341*s[46])/264 - (259163*s[47])/1584 + (86215*s[48])/1584 + 
       (1907321*s[49])/1584 - (210547*s[50])/132 - (500413*s[51])/1584 - 
       (456697*s[52])/1584 + (878731*s[53])/792 - (10979*s[54])/132 + 
       (3640819*s[55])/528 + (2967491*s[56])/1584 - (3717917*s[57])/1188 + 
       (53759137*s[58])/14256 - (53608603*s[59])/14256 - 
       (163748735*s[60])/9504 + (119202223*s[61])/128304 + s[65]/2 + 
       2*s[66] - 2*s[67] - 3*s[68] - 3*s[69] + s[70] - s[71]/2 - 2*s[72] + 
       2*s[73] + (3*s[74])/2 - (3*s[75])/2 + 4*s[76] - 2*s[77] - 9*s[78] + 
       10*s[79] - 9*s[80] + 9*s[82]) + H1[v, w, u]*HPL[{0, 1}, 1 - u]*
      ((-27*s[3])/4 - (125*s[4])/4 - (513*s[5])/88 - (2029*s[6])/88 - 
       (135265*s[7])/396 + (68267*s[8])/2376 + (59527*s[9])/216 + 
       (19727*s[10])/216 + (309949*s[11])/792 + (88067*s[12])/198 + 
       (228317*s[13])/792 - (33173*s[14])/792 + (30835*s[15])/72 + 
       (435515*s[16])/792 + (49127*s[17])/132 + (27875*s[18])/648 + 
       (29585*s[19])/324 + (2131739*s[20])/3564 + (687065*s[21])/3564 - 
       (1261301*s[22])/7128 - (174983*s[23])/396 - (1386445*s[24])/3564 + 
       (68320337*s[25])/128304 - (32329301*s[26])/128304 - (3*s[32])/2 - 
       6*s[35] + (23*s[36])/6 - (23*s[37])/12 - (39*s[38])/2 + 
       (453*s[39])/8 - (1451*s[40])/24 + (373*s[41])/8 - (1759*s[42])/24 - 
       (14965*s[43])/264 + (26075*s[44])/528 - (12769*s[45])/264 + 
       (50851*s[46])/132 - (25585*s[47])/1584 - (18523*s[48])/1584 + 
       (401959*s[49])/1584 - (39869*s[50])/132 - (86027*s[51])/1584 - 
       (68105*s[52])/1584 + (18779*s[53])/99 + (3863*s[54])/66 + 
       (213447*s[55])/176 + (136735*s[56])/528 - (172961*s[57])/396 + 
       (987905*s[58])/1584 - (328459*s[59])/528 - (30969163*s[60])/9504 + 
       (360572*s[61])/2673 - (3*s[66])/2 - (3*s[68])/2 + s[69] + 
       (7*s[76])/2 + s[77] + 4*s[78] - (35*s[80])/6 + 9*s[82]) + 
     F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      ((-29*s[3])/4 + (353*s[4])/8 + (1103*s[5])/44 + (4893*s[6])/88 + 
       (1064251*s[7])/1584 - (131003*s[8])/2376 - (15422*s[9])/27 - 
       (4954*s[10])/27 - (1189127*s[11])/1584 - (329623*s[12])/396 - 
       (813865*s[13])/1584 - (50327*s[14])/1584 - (128549*s[15])/144 - 
       (896699*s[16])/792 - (441083*s[17])/528 - (7273*s[18])/81 - 
       (89143*s[19])/648 - (9247069*s[20])/7128 - (6403697*s[21])/14256 + 
       (5159713*s[22])/14256 + (589747*s[23])/792 + (5636165*s[24])/7128 - 
       (62674705*s[25])/64152 + (32496571*s[26])/64152 - 2*s[30] - 
       (11*s[36])/6 + (47*s[37])/12 + 32*s[38] - (825*s[39])/8 + 
       (2759*s[40])/24 - (701*s[41])/8 + (3343*s[42])/24 + 
       (27157*s[43])/264 - (53711*s[44])/528 + (23653*s[45])/264 - 
       (99355*s[46])/132 + (27793*s[47])/1584 + (53995*s[48])/1584 - 
       (741091*s[49])/1584 + (19805*s[50])/33 + (141851*s[51])/1584 + 
       (117485*s[52])/1584 - (157277*s[53])/396 - (3473*s[54])/66 - 
       (1343345*s[55])/528 - (103029*s[56])/176 + (245893*s[57])/396 - 
       (5451595*s[58])/4752 + (5727763*s[59])/4752 + (62344291*s[60])/9504 - 
       (976915*s[61])/3564 + 12*s[79] - s[80]/6 + 9*s[82]) + 
     H1[w, u, v]*HPL[{0, 1}, 1 - u]*((137*s[3])/4 + (293*s[4])/4 + 
       (2855*s[5])/88 + (9799*s[6])/88 + (166547*s[7])/198 - 
       (176521*s[8])/2376 - (144641*s[9])/216 - (39913*s[10])/216 - 
       (763397*s[11])/792 - (108803*s[12])/99 - (181175*s[13])/264 - 
       (10715*s[14])/792 - (25333*s[15])/24 - (366139*s[16])/264 - 
       (193441*s[17])/198 - (104005*s[18])/648 - (46261*s[19])/324 - 
       (5566603*s[20])/3564 - (492805*s[21])/891 + (2991889*s[22])/7128 + 
       (159299*s[23])/132 + (3237551*s[24])/3564 - (164008327*s[25])/128304 + 
       (85750483*s[26])/128304 + (5*s[32])/2 + (7*s[36])/6 + (61*s[37])/12 + 
       (85*s[38])/2 - (1107*s[39])/8 + (3533*s[40])/24 - (819*s[41])/8 + 
       (4465*s[42])/24 + (30787*s[43])/264 - (62093*s[44])/528 + 
       (34895*s[45])/264 - (42219*s[46])/44 + (92407*s[47])/1584 + 
       (14461*s[48])/1584 - (828673*s[49])/1584 + (89747*s[50])/132 + 
       (196829*s[51])/1584 + (183551*s[52])/1584 - (15278*s[53])/33 + 
       (1189*s[54])/22 - (1574323*s[55])/528 - (1319675*s[56])/1584 + 
       (1496393*s[57])/1188 - (23279263*s[58])/14256 + 
       (22698799*s[59])/14256 + (72249373*s[60])/9504 - 
       (6823889*s[61])/16038 + s[66]/2 + (5*s[68])/2 - s[69] - s[76]/2 + 
       s[77] - 4*s[79] + s[80]/6 + 9*s[82]) + H1[v, w, u]*HPL[{0, 1}, 1 - v]*
      ((-9*s[3])/4 - (125*s[4])/4 - (197*s[5])/22 - (987*s[6])/44 - 
       (68771*s[7])/198 + (35041*s[8])/1188 + (31115*s[9])/108 + 
       (9727*s[10])/108 + (316747*s[11])/792 + (361805*s[12])/792 + 
       (116023*s[13])/396 - (3532*s[14])/99 + (3926*s[15])/9 + 
       (224671*s[16])/396 + (101411*s[17])/264 + (13315*s[18])/324 + 
       (14575*s[19])/162 + (2213645*s[20])/3564 + (707987*s[21])/3564 - 
       (660169*s[22])/3564 - (353167*s[23])/792 - (2944985*s[24])/7128 + 
       (34779925*s[25])/64152 - (16385833*s[26])/64152 + s[30] + s[32]/2 - 
       6*s[35] + (23*s[36])/6 - (8*s[37])/3 - (43*s[38])/2 + (483*s[39])/8 - 
       (1553*s[40])/24 + (407*s[41])/8 - (1867*s[42])/24 - 
       (14635*s[43])/264 + (27989*s[44])/528 - (12769*s[45])/264 + 
       (25937*s[46])/66 - (27631*s[47])/1584 - (17797*s[48])/1584 + 
       (406381*s[49])/1584 - (41123*s[50])/132 - (87281*s[51])/1584 - 
       (73979*s[52])/1584 + (38185*s[53])/198 + (3731*s[54])/66 + 
       (655631*s[55])/528 + (142829*s[56])/528 - (61247*s[57])/132 + 
       (3055433*s[58])/4752 - (3083093*s[59])/4752 - (31736677*s[60])/9504 + 
       (3051611*s[61])/21384 - (3*s[66])/2 - (3*s[68])/2 + s[69] - 
       (7*s[76])/2 - s[77] + 4*s[78] - 3*s[79] + (7*s[80])/6 + 9*s[82]) + 
     F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      ((51*s[3])/4 + (353*s[4])/8 + (111*s[5])/4 + (511*s[6])/8 + 
       (89897*s[7])/144 - (3527*s[8])/72 - (4615*s[9])/9 - (3049*s[10])/18 - 
       (33763*s[11])/48 - (4673*s[12])/6 - (69043*s[13])/144 - 
       (1327*s[14])/48 - (120085*s[15])/144 - (76517*s[16])/72 - 
       (114815*s[17])/144 - (2725*s[18])/27 - (28585*s[19])/216 - 
       (259973*s[20])/216 - (62459*s[21])/144 + (139261*s[22])/432 + 
       (53167*s[23])/72 + (157823*s[24])/216 - (197395*s[25])/216 + 
       (104941*s[26])/216 - s[30] - (11*s[36])/6 + (13*s[37])/4 + 31*s[38] - 
       (729*s[39])/8 + (2279*s[40])/24 - (549*s[41])/8 + (2791*s[42])/24 + 
       (2135*s[43])/24 - (4141*s[44])/48 + (797*s[45])/8 - (8497*s[46])/12 + 
       (2723*s[47])/144 + (4097*s[48])/144 - (60473*s[49])/144 + 
       (1621*s[50])/3 + (10033*s[51])/144 + (9031*s[52])/144 - 
       (13343*s[53])/36 - (347*s[54])/6 - (38465*s[55])/16 - 
       (81575*s[56])/144 + (28627*s[57])/54 - (1405771*s[58])/1296 + 
       (1467187*s[59])/1296 + (5205713*s[60])/864 - (419393*s[61])/1458 - 
       8*s[79] + (9*s[80])/2 + 9*s[82]) + F1[w, u, v]*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*((7*s[2])/2 + 10*s[3] - (39*s[4])/4 + 
       (535*s[5])/11 + (2363*s[6])/44 + (25813*s[7])/99 - (1706*s[8])/297 - 
       (24643*s[9])/108 - (2315*s[10])/27 - (205793*s[11])/792 - 
       (86003*s[12])/396 - (23891*s[13])/264 - (141539*s[14])/792 - 
       (5285*s[15])/12 - (134989*s[16])/264 - (444085*s[17])/792 - 
       (17305*s[18])/162 + (533*s[19])/81 - (600346*s[20])/891 - 
       (2458151*s[21])/7128 + (897895*s[22])/7128 + (72511*s[23])/264 + 
       (1548781*s[24])/7128 - (15141521*s[25])/64152 + 
       (15139811*s[26])/64152 - 2*s[30] + 2*s[31] + s[32]/2 + (5*s[33])/4 - 
       4*s[34] - s[35] - (23*s[36])/6 + (5*s[37])/3 + (7*s[38])/2 - 
       (207*s[39])/8 + (161*s[40])/24 + (39*s[41])/8 + (955*s[42])/24 - 
       (5237*s[43])/264 + (2641*s[44])/528 - (485*s[45])/66 + 
       (5299*s[46])/264 + (82531*s[47])/1584 - (126095*s[48])/1584 + 
       (62519*s[49])/1584 - (8977*s[50])/132 + (25853*s[51])/1584 + 
       (30401*s[52])/1584 + (8537*s[53])/792 + (3083*s[54])/132 + 
       (45479*s[55])/176 - (667*s[56])/176 + (246493*s[57])/396 - 
       (759619*s[58])/4752 + (622417*s[59])/4752 - (9321665*s[60])/9504 - 
       (259775*s[61])/14256 - s[65]/2 - s[66] + 2*s[67] + 4*s[68] + 2*s[69] + 
       s[70] + s[71]/2 + 2*s[72] - 2*s[73] - (3*s[74])/2 + (3*s[75])/2 - 
       s[76] + 5*s[78] - 30*s[79] + (25*s[80])/3 + 9*s[82]) + 
     F1[w, u, v]*HPL[{0, 0, 1}, 1 - u]*((-15*s[2])/2 - 26*s[3] - 
       (359*s[4])/4 - (2637*s[5])/22 - (10309*s[6])/44 - (77377*s[7])/44 + 
       (36134*s[8])/297 + (40009*s[9])/27 + (25687*s[10])/54 + 
       (186844*s[11])/99 + (774065*s[12])/396 + (458179*s[13])/396 + 
       (134353*s[14])/396 + (90179*s[15])/36 + (1210153*s[16])/396 + 
       (259297*s[17])/99 + (30164*s[18])/81 + (74695*s[19])/324 + 
       (12742657*s[20])/3564 + (1283437*s[21])/891 - (803036*s[22])/891 - 
       (812489*s[23])/396 - (6525281*s[24])/3564 + (18554686*s[25])/8019 - 
       (22453493*s[26])/16038 - 4*s[31] + s[32] - (9*s[33])/2 + 8*s[34] + 
       2*s[35] + 12*s[36] - (3*s[37])/2 - 49*s[38] + 242*s[39] - 243*s[40] + 
       188*s[41] - (719*s[42])/2 - (1862*s[43])/11 + (8201*s[44])/44 - 
       (4237*s[45])/22 + (35875*s[46])/22 - (17557*s[47])/132 + 
       (12539*s[48])/132 + (107473*s[49])/132 - (13393*s[50])/11 - 
       (10345*s[51])/44 - (24911*s[52])/132 + (60649*s[53])/66 - 
       (565*s[54])/11 + (724543*s[55])/132 + (62585*s[56])/44 - 
       (245543*s[57])/132 + (345185*s[58])/132 - (119461*s[59])/44 - 
       (9767401*s[60])/792 + (642608*s[61])/891 + s[65] + 2*s[66] - 4*s[67] - 
       5*s[68] - 7*s[69] - s[71] - 4*s[72] + 6*s[73] + 3*s[74] - 3*s[75] + 
       4*s[76] + s[77] - 8*s[78] + 20*s[79] - 10*s[80] + 18*s[82]) + 
     F1[w, u, v]*HPL[{0, 0, 1}, 1 - v]*(12*s[2] + 30*s[3] + (663*s[4])/4 + 
       (18647*s[5])/88 + (36149*s[6])/88 + (446989*s[7])/132 - 
       (574711*s[8])/2376 - (621557*s[9])/216 - (187633*s[10])/216 - 
       (2969801*s[11])/792 - (3230137*s[12])/792 - (485159*s[13])/198 - 
       (220651*s[14])/396 - (321091*s[15])/72 - (2261239*s[16])/396 - 
       (881069*s[17])/198 - (467119*s[18])/648 - (33964*s[19])/81 - 
       (24399499*s[20])/3564 - (19035209*s[21])/7128 + (3157219*s[22])/1782 + 
       (787087*s[23])/198 + (12767153*s[24])/3564 - (597343303*s[25])/
        128304 + (347778451*s[26])/128304 + 6*s[31] - s[32] + (11*s[33])/4 - 
       10*s[34] + s[35] - (85*s[36])/6 + (203*s[37])/12 + 141*s[38] - 
       (4209*s[39])/8 + (13231*s[40])/24 - (3233*s[41])/8 + 
       (17771*s[42])/24 + (107981*s[43])/264 - (233491*s[44])/528 + 
       (112693*s[45])/264 - (152353*s[46])/44 + (372701*s[47])/1584 - 
       (54649*s[48])/1584 - (3032279*s[49])/1584 + (166097*s[50])/66 + 
       (761647*s[51])/1584 + (663073*s[52])/1584 - (232099*s[53])/132 + 
       (909*s[54])/11 - (1923375*s[55])/176 - (4706233*s[56])/1584 + 
       (2784629*s[57])/594 - (83479373*s[58])/14256 + 
       (83578589*s[59])/14256 + (258414359*s[60])/9504 - 
       (23722123*s[61])/16038 - s[65] - 3*s[66] + 4*s[67] + 4*s[68] + 
       7*s[69] + s[71] + 4*s[72] - 4*s[73] - 3*s[74] + 3*s[75] - 2*s[76] - 
       s[77] + 14*s[78] - 16*s[79] + (23*s[80])/6 + 18*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*
      ((-13*s[2])/2 - (33*s[3])/2 + 51*s[4] - (877*s[5])/22 - (761*s[6])/44 + 
       (34249*s[7])/396 - (19988*s[8])/297 - (2267*s[9])/54 + 
       (2609*s[10])/54 - (109433*s[11])/792 - (225895*s[12])/792 - 
       (1908*s[13])/11 + (86459*s[14])/396 + 30*s[15] - (3037*s[16])/33 + 
       (154403*s[17])/792 + (3256*s[18])/81 - (10411*s[19])/324 + 
       (142091*s[20])/3564 + (613727*s[21])/3564 + (195623*s[22])/3564 + 
       (50343*s[23])/88 + (458725*s[24])/7128 - (10428775*s[25])/32076 + 
       (116932*s[26])/8019 - 2*s[29] + s[30] - 4*s[31] - s[32]/2 - 
       (15*s[33])/4 + 5*s[34] + (5*s[36])/3 + (37*s[37])/4 + (5*s[38])/2 - 
       (237*s[39])/4 + (991*s[40])/12 - (127*s[41])/2 + (314*s[42])/3 + 
       (5741*s[43])/132 - (9377*s[44])/132 + (2113*s[45])/88 - 
       (105859*s[46])/264 + (9349*s[47])/396 + (250*s[48])/99 - 
       (85555*s[49])/396 + (21427*s[50])/66 + (26825*s[51])/396 + 
       (9253*s[52])/198 - (162413*s[53])/792 + (8641*s[54])/132 - 
       (85117*s[55])/66 - (78179*s[56])/198 + (179698*s[57])/297 - 
       (4779949*s[58])/7128 + (2332919*s[59])/3564 + (15802511*s[60])/4752 - 
       (19910609*s[61])/128304 + s[66] - s[68] - s[69] + s[70] + s[71]/2 + 
       s[76] - 4*s[77] - 2*s[78] + 36*s[79] - (41*s[80])/2 + 40*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      ((51*s[3])/2 + (229*s[4])/2 + (1927*s[5])/44 + (1714*s[6])/11 + 
       (997451*s[7])/792 - (14360*s[8])/99 - (9067*s[9])/9 - 
       (8999*s[10])/36 - (378337*s[11])/264 - (439489*s[12])/264 - 
       (394817*s[13])/396 + (568*s[14])/33 - (112475*s[15])/72 - 
       (1663483*s[16])/792 - (1144247*s[17])/792 - (25837*s[18])/108 - 
       (4691*s[19])/27 - (1380061*s[20])/594 - (76903*s[21])/99 + 
       (764429*s[22])/1188 + (409901*s[23])/198 + (1514603*s[24])/1188 - 
       (2288983*s[25])/1188 + (1147489*s[26])/1188 - 2*s[29] + s[30] - 
       s[32] + s[33]/2 - s[34] - s[35] - (13*s[36])/3 + (49*s[37])/4 + 
       52*s[38] - (943*s[39])/4 + (3025*s[40])/12 - (731*s[41])/4 + 
       (4121*s[42])/12 + (23759*s[43])/132 - (54295*s[44])/264 + 
       (15929*s[45])/88 - (413155*s[46])/264 + (89747*s[47])/792 - 
       (14071*s[48])/792 - (666473*s[49])/792 + (148223*s[50])/132 + 
       (177433*s[51])/792 + (143173*s[52])/792 - (642563*s[53])/792 + 
       (7241*s[54])/66 - (1307863*s[55])/264 - (1106729*s[56])/792 + 
       (626947*s[57])/297 - (9308375*s[58])/3564 + (18670741*s[59])/7128 + 
       (14347451*s[60])/1188 - (87524573*s[61])/128304 - s[65]/2 - s[66] + 
       2*s[67] + 3*s[68] + 3*s[69] - s[70] + s[71] + 2*s[72] - 2*s[73] - 
       (3*s[74])/2 + (3*s[75])/2 - s[76] + s[77] + 4*s[78] + 2*s[79] - 
       (15*s[80])/2 + 40*s[82]) + A10[v, w, u]*HPL[{1}, 1 - v]*
      ((-3*s[3])/2 + (141*s[4])/4 + (587*s[5])/44 + (839*s[6])/22 + 
       (121967*s[7])/264 - (22687*s[8])/594 - (42955*s[9])/108 - 
       (10991*s[10])/108 - (398471*s[11])/792 - (224363*s[12])/396 - 
       (275075*s[13])/792 - (19541*s[14])/792 - (41713*s[15])/72 - 
       (285535*s[16])/396 - (404711*s[17])/792 - (26993*s[18])/324 - 
       (17725*s[19])/324 - (3125959*s[20])/3564 - (2116457*s[21])/7128 + 
       (1752955*s[22])/7128 + (234035*s[23])/396 + (1658999*s[24])/3564 - 
       (42419171*s[25])/64152 + (22127123*s[26])/64152 + (3*s[33])/2 - 
       2*s[34] - 2*s[36] + (9*s[37])/2 + 21*s[38] - (115*s[39])/2 + 
       (127*s[40])/2 - 52*s[41] + 81*s[42] + (1169*s[43])/22 - 
       (1653*s[44])/44 + (1817*s[45])/44 - (14733*s[46])/44 + 
       (1531*s[47])/44 - (603*s[48])/44 - (7101*s[49])/44 + (2544*s[50])/11 + 
       (9341*s[51])/132 + (2621*s[52])/44 - (20851*s[53])/132 + 
       (1577*s[54])/22 - (126701*s[55])/132 - (39587*s[56])/132 + 
       (128995*s[57])/198 - (187513*s[58])/297 + (716977*s[59])/1188 + 
       (166367*s[60])/66 - (2786585*s[61])/21384 - s[71] + s[74] - s[75] + 
       8*s[79] + 3*s[80] - 72*s[82] - 6*s[83]) + A10[u, v, w]*HPL[{1}, 1 - u]*
      ((-21*s[2])/2 - (5*s[3])/4 - (1129*s[4])/8 - (2276*s[5])/11 - 
       (35903*s[6])/88 - (1807577*s[7])/528 + (524141*s[8])/2376 + 
       (158851*s[9])/54 + (103633*s[10])/108 + (5923277*s[11])/1584 + 
       (1574863*s[12])/396 + (3784763*s[13])/1584 + (1097537*s[14])/1584 + 
       (666469*s[15])/144 + (1156459*s[16])/198 + (7498955*s[17])/1584 + 
       (54733*s[18])/81 + (304705*s[19])/648 + (50064529*s[20])/7128 + 
       (39016919*s[21])/14256 - (25807891*s[22])/14256 - (340783*s[23])/99 - 
       (13198327*s[24])/3564 + (294389125*s[25])/64152 - 
       (173457673*s[26])/64152 - 6*s[31] - (15*s[33])/4 + 12*s[34] + 
       3*s[35] + 17*s[36] - (27*s[37])/2 - 101*s[38] + (935*s[39])/2 - 
       (993*s[40])/2 + 377*s[41] - (1367*s[42])/2 - (7857*s[43])/22 + 
       (36427*s[44])/88 - (16073*s[45])/44 + (141145*s[46])/44 - 
       (16339*s[47])/88 + (2977*s[48])/88 + (155321*s[49])/88 - 
       (26612*s[50])/11 - (111445*s[51])/264 - (31829*s[52])/88 + 
       (111367*s[53])/66 - (321*s[54])/11 + (913079*s[55])/88 + 
       (718637*s[56])/264 - (1506787*s[57])/396 + (12366289*s[58])/2376 - 
       (12504475*s[59])/2376 - (13445225*s[60])/528 + 
       (29026447*s[61])/21384 + 2*s[65] + 4*s[66] - 6*s[67] - 4*s[68] - 
       10*s[69] - 2*s[71] - 6*s[72] + 10*s[73] + (9*s[74])/2 - (9*s[75])/2 + 
       2*s[76] + 3*s[77] - 14*s[78] - 8*s[79] + 7*s[80] - 72*s[82] - 
       6*s[83]) + G[u, v, w]*HPL[{0, 1}, 1 - u]*((-49*s[2])/4 + 
       (389*s[3])/8 + (3505*s[4])/16 - (2165*s[5])/44 + (38787*s[6])/176 + 
       (1247321*s[7])/1056 - (1019269*s[8])/4752 - (92915*s[9])/108 - 
       (2171*s[10])/216 - (4710709*s[11])/3168 - (1602641*s[12])/792 - 
       (4151803*s[13])/3168 + (1246631*s[14])/3168 - (295637*s[15])/288 - 
       (664019*s[16])/396 - (1476451*s[17])/3168 - (32189*s[18])/162 - 
       (124469*s[19])/1296 - (24463661*s[20])/14256 - 
       (10277359*s[21])/28512 + (16604699*s[22])/28512 + (595031*s[23])/198 + 
       (8110037*s[24])/7128 - (292894517*s[25])/128304 + 
       (122939417*s[26])/128304 - 2*s[29] + 9*s[30] - 7*s[31] - 
       (43*s[33])/8 + 14*s[34] - (43*s[35])/2 - (5*s[36])/2 + 
       (277*s[37])/12 + 106*s[38] - (667*s[39])/2 + 407*s[40] - 
       (573*s[41])/2 + (1831*s[42])/4 + (7303*s[43])/22 - (55381*s[44])/176 + 
       (80351*s[45])/264 - (620117*s[46])/264 + (53507*s[47])/528 + 
       (64595*s[48])/528 - (652793*s[49])/528 + (70759*s[50])/44 + 
       (175759*s[51])/528 + (169861*s[52])/528 - (206137*s[53])/198 + 
       (62087*s[54])/132 - (3678451*s[55])/528 - (3651469*s[56])/1584 + 
       (8758373*s[57])/2376 - (59981249*s[58])/14256 + 
       (57198791*s[59])/14256 + (60988693*s[60])/3168 - 
       (130162991*s[61])/128304 + (3*s[65])/2 + 5*s[66] - 5*s[67] - 2*s[68] - 
       11*s[69] - s[70] - (3*s[71])/2 - 5*s[72] + 5*s[73] + (15*s[74])/4 - 
       (15*s[75])/4 + 5*s[76] + (25*s[77])/2 - 15*s[78] + 70*s[79] - 
       (233*s[80])/6 - 36*s[82] - 3*s[83]) + G[u, v, w]*HPL[{0, 1}, 1 - v]*
      (s[2]/2 + (279*s[3])/4 + (3933*s[4])/8 + (12547*s[5])/44 + 
       (77241*s[6])/88 + (3593999*s[7])/528 - (1426295*s[8])/2376 - 
       (611915*s[9])/108 - (82019*s[10])/54 - (12131633*s[11])/1584 - 
       (3423127*s[12])/396 - (8381399*s[13])/1584 - (883961*s[14])/1584 - 
       (1240759*s[15])/144 - (8907223*s[16])/792 - (12852347*s[17])/1584 - 
       (422977*s[18])/324 - (568789*s[19])/648 - (93377161*s[20])/7128 - 
       (67589771*s[21])/14256 + (50592475*s[22])/14256 + 
       (7271915*s[23])/792 + (51285617*s[24])/7128 - (79736306*s[25])/8019 + 
       (172807769*s[26])/32076 - 2*s[29] + 12*s[30] + 4*s[32] + s[33]/4 - 
       4*s[34] - 26*s[35] - 32*s[36] + (116*s[37])/3 + 306*s[38] - 
       1137*s[39] + 1250*s[40] - (1845*s[41])/2 + 1608*s[42] + 
       (10477*s[43])/11 - (43559*s[44])/44 + (122087*s[45])/132 - 
       (1012337*s[46])/132 + (20045*s[47])/44 + (1521*s[48])/44 - 
       (182741*s[49])/44 + (61214*s[50])/11 + (143839*s[51])/132 + 
       (42239*s[52])/44 - (1511185*s[53])/396 + (39431*s[54])/66 - 
       (3165953*s[55])/132 - (2705177*s[56])/396 + (3084203*s[57])/297 - 
       (11547463*s[58])/891 + (45751885*s[59])/3564 + (24256259*s[60])/396 - 
       (207734561*s[61])/64152 - s[65] - s[66] + 4*s[67] + 5*s[68] + 
       4*s[69] + s[70] + 4*s[72] - 4*s[73] - 2*s[74] + 2*s[75] - 13*s[76] + 
       2*s[77] + 10*s[78] + 74*s[79] - (53*s[80])/3 - 36*s[82] - 3*s[83]) + 
     A10[u, v, w]*HPL[{1}, 1 - v]*((21*s[2])/2 + (5*s[3])/4 + (1129*s[4])/8 + 
       (2276*s[5])/11 + (35903*s[6])/88 + (1807577*s[7])/528 - 
       (524141*s[8])/2376 - (158851*s[9])/54 - (103633*s[10])/108 - 
       (5923277*s[11])/1584 - (1574863*s[12])/396 - (3784763*s[13])/1584 - 
       (1097537*s[14])/1584 - (666469*s[15])/144 - (1156459*s[16])/198 - 
       (7498955*s[17])/1584 - (54733*s[18])/81 - (304705*s[19])/648 - 
       (50064529*s[20])/7128 - (39016919*s[21])/14256 + 
       (25807891*s[22])/14256 + (340783*s[23])/99 + (13198327*s[24])/3564 - 
       (294389125*s[25])/64152 + (173457673*s[26])/64152 + 6*s[31] + 
       (15*s[33])/4 - 12*s[34] - 3*s[35] - 17*s[36] + (27*s[37])/2 + 
       101*s[38] - (935*s[39])/2 + (993*s[40])/2 - 377*s[41] + 
       (1367*s[42])/2 + (7857*s[43])/22 - (36427*s[44])/88 + 
       (16073*s[45])/44 - (141145*s[46])/44 + (16339*s[47])/88 - 
       (2977*s[48])/88 - (155321*s[49])/88 + (26612*s[50])/11 + 
       (111445*s[51])/264 + (31829*s[52])/88 - (111367*s[53])/66 + 
       (321*s[54])/11 - (913079*s[55])/88 - (718637*s[56])/264 + 
       (1506787*s[57])/396 - (12366289*s[58])/2376 + (12504475*s[59])/2376 + 
       (13445225*s[60])/528 - (29026447*s[61])/21384 - 2*s[65] - 4*s[66] + 
       6*s[67] + 4*s[68] + 10*s[69] + 2*s[71] + 6*s[72] - 10*s[73] - 
       (9*s[74])/2 + (9*s[75])/2 - 2*s[76] - 3*s[77] + 14*s[78] + 8*s[79] - 
       7*s[80] + 72*s[82] + 6*s[83]) + A10[v, w, u]*HPL[{1}, 1 - u]*
      ((3*s[3])/2 - (141*s[4])/4 - (587*s[5])/44 - (839*s[6])/22 - 
       (121967*s[7])/264 + (22687*s[8])/594 + (42955*s[9])/108 + 
       (10991*s[10])/108 + (398471*s[11])/792 + (224363*s[12])/396 + 
       (275075*s[13])/792 + (19541*s[14])/792 + (41713*s[15])/72 + 
       (285535*s[16])/396 + (404711*s[17])/792 + (26993*s[18])/324 + 
       (17725*s[19])/324 + (3125959*s[20])/3564 + (2116457*s[21])/7128 - 
       (1752955*s[22])/7128 - (234035*s[23])/396 - (1658999*s[24])/3564 + 
       (42419171*s[25])/64152 - (22127123*s[26])/64152 - (3*s[33])/2 + 
       2*s[34] + 2*s[36] - (9*s[37])/2 - 21*s[38] + (115*s[39])/2 - 
       (127*s[40])/2 + 52*s[41] - 81*s[42] - (1169*s[43])/22 + 
       (1653*s[44])/44 - (1817*s[45])/44 + (14733*s[46])/44 - 
       (1531*s[47])/44 + (603*s[48])/44 + (7101*s[49])/44 - (2544*s[50])/11 - 
       (9341*s[51])/132 - (2621*s[52])/44 + (20851*s[53])/132 - 
       (1577*s[54])/22 + (126701*s[55])/132 + (39587*s[56])/132 - 
       (128995*s[57])/198 + (187513*s[58])/297 - (716977*s[59])/1188 - 
       (166367*s[60])/66 + (2786585*s[61])/21384 + s[71] - s[74] + s[75] - 
       8*s[79] - 3*s[80] + 72*s[82] + 6*s[83]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*K1[v, w, u]*((-3*s[3])/4 + (33*s[4])/8 - 
       (9*s[5])/44 - (775*s[6])/88 - (1079*s[7])/528 - (28643*s[8])/2376 + 
       (563*s[9])/54 + (110*s[10])/27 + (24853*s[11])/1584 + 
       (6767*s[12])/396 + (40867*s[13])/1584 + (31741*s[14])/1584 - 
       (3181*s[15])/144 - (4705*s[16])/792 - (19733*s[17])/1584 - 
       (2737*s[18])/324 + (5117*s[19])/648 + (43031*s[20])/7128 + 
       (95203*s[21])/14256 - (94583*s[22])/14256 + (63227*s[23])/792 - 
       (171511*s[24])/7128 + (686987*s[25])/64152 - (385145*s[26])/64152 + 
       s[30] - (3*s[32])/2 - 7*s[35] - s[36] - (10*s[37])/3 - 2*s[38] + 
       (23*s[39])/4 - (47*s[40])/4 + (29*s[41])/4 - (33*s[42])/4 - 
       (285*s[43])/44 + (1275*s[44])/88 + (179*s[45])/33 + (493*s[46])/132 + 
       (481*s[47])/88 - (1653*s[48])/88 + (3309*s[49])/88 - (71*s[50])/11 - 
       (2467*s[51])/264 - (219*s[52])/88 - (7879*s[53])/396 + 
       (827*s[54])/66 - (10619*s[55])/88 - (8545*s[56])/792 - 
       (245863*s[57])/1188 + (354469*s[58])/7128 - (86683*s[59])/7128 - 
       (194413*s[60])/1584 - (668915*s[61])/64152 + s[68] - s[70] + 2*s[73] + 
       2*s[76] + s[77] - 10*s[79] + (10*s[80])/3 - 12*s[82] - (3*s[83])/2 - 
       3*s[84]) + G[u, v, w]*HPL[{1}, 1 - u]^2*((33*s[3])/4 + (67*s[4])/2 + 
       (409*s[5])/44 + (1041*s[6])/22 + (11123*s[7])/33 - (7567*s[8])/198 - 
       (4877*s[9])/18 - (2045*s[10])/36 - (100103*s[11])/264 - 
       (28915*s[12])/66 - (73927*s[13])/264 + (3895*s[14])/264 - 
       (1208*s[15])/3 - (139237*s[16])/264 - (31089*s[17])/88 - 
       (15733*s[18])/216 - (3385*s[19])/108 - (696577*s[20])/1188 - 
       (491099*s[21])/2376 + (401083*s[22])/2376 + (75139*s[23])/132 + 
       (752899*s[24])/2376 - (1381411*s[25])/2673 + (2869555*s[26])/10692 + 
       s[30] + s[32]/4 + s[35] - (11*s[36])/4 + (7*s[37])/12 + (77*s[38])/4 - 
       (1063*s[39])/16 + (1139*s[40])/16 - (877*s[41])/16 + (1513*s[42])/16 + 
       (867*s[43])/16 - (1461*s[44])/32 + (343*s[45])/6 - (20639*s[46])/48 + 
       (3623*s[47])/96 - (1771*s[48])/96 - (19421*s[49])/96 + 302*s[50] + 
       (2275*s[51])/32 + (6463*s[52])/96 - (30877*s[53])/144 + 
       (1535*s[54])/24 - (128317*s[55])/96 - (112429*s[56])/288 + 
       (35017*s[57])/54 - (1958975*s[58])/2592 + (1926305*s[59])/2592 + 
       (1875067*s[60])/576 - (4490525*s[61])/23328 - s[71]/4 + s[73] + 
       3*s[79] + (2*s[80])/3 - 33*s[82] - (3*s[83])/4 - (3*s[84])/2) + 
     G[u, v, w]*HPL[{1}, 1 - v]^2*((-7*s[2])/4 + (17*s[3])/2 + (7*s[4])/4 - 
       (1459*s[5])/44 - (1457*s[6])/44 - (184703*s[7])/528 + 
       (26765*s[8])/2376 + (68737*s[9])/216 + (3406*s[10])/27 + 
       (146819*s[11])/396 + (287933*s[12])/792 + (157753*s[13])/792 + 
       (108367*s[14])/792 + (75397*s[15])/144 + (1004675*s[16])/1584 + 
       (458569*s[17])/792 + (45059*s[18])/648 + (35389*s[19])/648 + 
       (5762425*s[20])/7128 + (1207337*s[21])/3564 - (1369307*s[22])/7128 - 
       (329575*s[23])/1584 - (5833945*s[24])/14256 + 
       (52708199*s[25])/128304 - (35642813*s[26])/128304 + (3*s[30])/2 - 
       s[31] + s[32]/2 - (5*s[33])/8 + 2*s[34] + (3*s[35])/2 + s[36]/4 - 
       (3*s[37])/2 - (9*s[38])/2 + (601*s[39])/16 - (613*s[40])/16 + 
       (473*s[41])/16 - (917*s[42])/16 - (381*s[43])/16 + (1345*s[44])/32 - 
       (39*s[45])/2 + (3967*s[46])/16 - (935*s[47])/96 - (17*s[48])/96 + 
       (15989*s[49])/96 - (1673*s[50])/8 - (2849*s[51])/96 - 
       (1231*s[52])/96 + (6943*s[53])/48 + (101*s[54])/2 + (82433*s[55])/96 + 
       (17951*s[56])/96 - (17645*s[57])/72 + (323449*s[58])/864 - 
       (349927*s[59])/864 - (1192091*s[60])/576 + (750157*s[61])/7776 + 
       s[65]/4 + s[66] - s[67] - s[68] - 2*s[69] + s[70]/2 - s[71]/2 - 
       s[72] + 2*s[73] + (3*s[74])/4 - (3*s[75])/4 - s[77]/2 - 3*s[78] + 
       s[79] + s[80] - 33*s[82] - (3*s[83])/4 - (3*s[84])/2) + 
     F1[u, v, w]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      ((53*s[3])/8 + (713*s[4])/16 + (1575*s[5])/88 + (9873*s[6])/176 + 
       (576817*s[7])/1056 - (88733*s[8])/1584 - (16387*s[9])/36 - 
       (2143*s[10])/18 - (645233*s[11])/1056 - (184363*s[12])/264 - 
       (456151*s[13])/1056 + (7471*s[14])/1056 - (21581*s[15])/32 - 
       (462923*s[16])/528 - (211525*s[17])/352 - (24481*s[18])/216 - 
       (26797*s[19])/432 - (4779691*s[20])/4752 - (3369143*s[21])/9504 + 
       (2729575*s[22])/9504 + (450325*s[23])/528 + (2627981*s[24])/4752 - 
       (34303561*s[25])/42768 + (17766367*s[26])/42768 - s[30] + 
       (5*s[32])/4 + 6*s[35] + s[36]/2 + (11*s[37])/2 + (51*s[38])/2 - 
       (765*s[39])/8 + (857*s[40])/8 - (643*s[41])/8 + (1099*s[42])/8 + 
       (6579*s[43])/88 - (13905*s[44])/176 + (820*s[45])/11 - 
       (54557*s[46])/88 + (23311*s[47])/528 - (5531*s[48])/528 - 
       (166909*s[49])/528 + (5063*s[50])/11 + (17115*s[51])/176 + 
       (46115*s[52])/528 - (27031*s[53])/88 + (1559*s[54])/44 - 
       (1019129*s[55])/528 - (292031*s[56])/528 + (397481*s[57])/396 - 
       (5163985*s[58])/4752 + (5040199*s[59])/4752 + (15340843*s[60])/3168 - 
       (11248015*s[61])/42768 + s[73] - 2*s[76] + s[77] - 2*s[78] + 
       15*s[79] - 4*s[80] - (27*s[82])/2 - (3*s[83])/4 - (3*s[84])/2) + 
     F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      ((-7*s[2])/4 + (47*s[3])/2 + (93*s[4])/8 - (1175*s[5])/44 - 
       (1677*s[6])/88 - (10517*s[7])/44 + (91*s[8])/594 + (50735*s[9])/216 + 
       (10367*s[10])/108 + (381055*s[11])/1584 + (172033*s[12])/792 + 
       (182767*s[13])/1584 + (232909*s[14])/1584 + (27409*s[15])/72 + 
       (699265*s[16])/1584 + (695311*s[17])/1584 + (18601*s[18])/648 + 
       (3253*s[19])/81 + (1063895*s[20])/1782 + (3579013*s[21])/14256 - 
       (2002313*s[22])/14256 + (38971*s[23])/1584 - (4279559*s[24])/14256 + 
       (31507297*s[25])/128304 - (23574247*s[26])/128304 + 3*s[30] - s[31] + 
       (3*s[32])/2 - (5*s[33])/8 + 2*s[34] + (13*s[35])/2 + (15*s[36])/4 + 
       (7*s[37])/8 - (15*s[38])/4 + (381*s[39])/16 - (409*s[40])/16 + 
       (403*s[41])/16 - (603*s[42])/16 - (297*s[43])/16 + (937*s[44])/32 - 
       (123*s[45])/16 + 172*s[46] + (5*s[47])/96 - (277*s[48])/96 + 
       (11353*s[49])/96 - (1305*s[50])/8 - (1921*s[51])/96 - (455*s[52])/96 + 
       (2719*s[53])/24 + (163*s[54])/8 + (66125*s[55])/96 + 
       (11647*s[56])/96 + (3401*s[57])/72 + (167999*s[58])/864 - 
       (222359*s[59])/864 - (917281*s[60])/576 + (180349*s[61])/3888 + 
       s[65]/4 + s[66] - s[67] - s[68] - 2*s[69] + s[70]/2 - s[71]/4 - 
       s[72] + 2*s[73] + (3*s[74])/4 - (3*s[75])/4 - 2*s[76] + s[77]/2 - 
       s[78] - 7*s[79] + (9*s[80])/4 - (27*s[82])/2 - (3*s[83])/4 - 
       (3*s[84])/2) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*Phi6[u, v, w]*
      ((39*s[3])/8 + (247*s[4])/16 + (57*s[5])/22 + (2785*s[6])/176 + 
       (411421*s[7])/3168 - (96103*s[8])/4752 - (22165*s[9])/216 - 
       (3179*s[10])/216 - (464701*s[11])/3168 - (71551*s[12])/396 - 
       (114181*s[13])/1056 + (63263*s[14])/3168 - (13517*s[15])/96 - 
       (104155*s[16])/528 - (344087*s[17])/3168 - (13513*s[18])/324 + 
       (5899*s[19])/1296 - (3174527*s[20])/14256 - (2160859*s[21])/28512 + 
       (1879583*s[22])/28512 + (171925*s[23])/528 + (1314031*s[24])/14256 - 
       (12774787*s[25])/64152 + (1590709*s[26])/16038 - s[30]/2 + 
       (3*s[32])/4 + 3*s[35] + (5*s[36])/6 + (5*s[37])/3 + (11*s[38])/2 - 
       (107*s[39])/4 + (359*s[40])/12 - (43*s[41])/2 + (493*s[42])/12 + 
       (1975*s[43])/132 - (4703*s[44])/264 + (4789*s[45])/264 - 
       (13287*s[46])/88 + (16237*s[47])/792 - (11021*s[48])/792 - 
       (44509*s[49])/792 + (6419*s[50])/66 + (23687*s[51])/792 + 
       (23327*s[52])/792 - (17879*s[53])/264 + (1561*s[54])/44 - 
       (109837*s[55])/264 - (126485*s[56])/792 + (121681*s[57])/297 - 
       (563401*s[58])/1782 + (2045389*s[59])/7128 + (2336183*s[60])/2376 - 
       (9632093*s[61])/128304 + s[73] - s[76] + s[77]/2 - s[78] + 4*s[79] - 
       (13*s[80])/6 - 6*s[82] - (3*s[83])/4 - (3*s[84])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*Phi6[u, v, w]*
      ((-7*s[2])/4 + (67*s[3])/8 - (237*s[4])/16 - (1743*s[5])/44 - 
       (10447*s[6])/176 - (1767509*s[7])/3168 + (44585*s[8])/1584 + 
       (17773*s[9])/36 + (12283*s[10])/72 + (636589*s[11])/1056 + 
       (164113*s[12])/264 + (1172953*s[13])/3168 + (152197*s[14])/1056 + 
       (226691*s[15])/288 + (383459*s[16])/396 + (2607017*s[17])/3168 + 
       (10279*s[18])/108 + (39251*s[19])/432 + (5609921*s[20])/4752 + 
       (1481233*s[21])/3168 - (2867743*s[22])/9504 - (173851*s[23])/396 - 
       (190832*s[24])/297 + (10286693*s[25])/14256 - (6232121*s[26])/14256 + 
       s[30]/2 - s[31] + s[32] - (5*s[33])/8 + 2*s[34] + (7*s[35])/2 + 
       (23*s[36])/6 - (17*s[37])/12 - (77*s[38])/4 + (311*s[39])/4 - 
       (991*s[40])/12 + (527*s[41])/8 - (2683*s[42])/24 - (8519*s[43])/132 + 
       (38477*s[44])/528 - (15055*s[45])/264 + (140825*s[46])/264 - 
       (37585*s[47])/1584 - (1417*s[48])/1584 + (505939*s[49])/1584 - 
       (112297*s[50])/264 - (113699*s[51])/1584 - (81089*s[52])/1584 + 
       (116429*s[53])/396 + (6869*s[54])/264 + (954631*s[55])/528 + 
       (222947*s[56])/528 - (21079*s[57])/44 + (3858077*s[58])/4752 - 
       (4108757*s[59])/4752 - (42230407*s[60])/9504 + (8696509*s[61])/42768 + 
       s[65]/4 + s[66] - s[67] - s[68] - 2*s[69] + s[70]/2 - s[71]/4 - 
       s[72] + 2*s[73] + (3*s[74])/4 - (3*s[75])/4 - s[76] - 2*s[78] - 
       4*s[79] + (2*s[80])/3 - 6*s[82] - (3*s[83])/4 - (3*s[84])/2) + 
     F1[v, w, u]*HPL[{1}, 1 - u]^3*((37*s[3])/8 + (201*s[4])/16 + 
       (107*s[5])/88 + (1597*s[6])/176 + (31235*s[7])/352 - 
       (25361*s[8])/1584 - (1175*s[9])/18 - (101*s[10])/9 - 
       (106493*s[11])/1056 - (16385*s[12])/132 - (25997*s[13])/352 + 
       (27607*s[14])/1056 - (9935*s[15])/96 - (24921*s[16])/176 - 
       (28657*s[17])/352 - (5419*s[18])/216 - (2353*s[19])/432 - 
       (683215*s[20])/4752 - (439031*s[21])/9504 + (403015*s[22])/9504 + 
       (117167*s[23])/528 + (340895*s[24])/4752 - (6175831*s[25])/42768 + 
       (2948881*s[26])/42768 + s[32]/4 - s[36]/2 + (9*s[38])/2 - 
       (139*s[39])/8 + (135*s[40])/8 - (97*s[41])/8 + (197*s[42])/8 + 
       (1005*s[43])/88 - (1775*s[44])/176 + (657*s[45])/44 - 
       (9129*s[46])/88 + (2375*s[47])/176 - (1739*s[48])/176 - 
       (23839*s[49])/528 + (1487*s[50])/22 + (8491*s[51])/528 + 
       (9197*s[52])/528 - (13765*s[53])/264 + (1493*s[54])/132 - 
       (168139*s[55])/528 - (16911*s[56])/176 + (78931*s[57])/396 - 
       (935591*s[58])/4752 + (917429*s[59])/4752 + (756167*s[60])/1056 - 
       (2155343*s[61])/42768 + s[73] - 3*s[79] + s[80] - 6*s[82] - 
       (3*s[83])/4 - (3*s[84])/2) + F1[u, v, w]*HPL[{1}, 1 - v]^3*
      ((-7*s[2])/4 + (17*s[3])/8 - (307*s[4])/16 - (10645*s[5])/264 - 
       (37105*s[6])/528 - (607525*s[7])/1056 + (16871*s[8])/528 + 
       (12035*s[9])/24 + 164*s[10] + (660239*s[11])/1056 + (57469*s[12])/88 + 
       (412273*s[13])/1056 + (149183*s[14])/1056 + (76279*s[15])/96 + 
       (65195*s[16])/66 + (872885*s[17])/1056 + (8123*s[18])/72 + 
       (11411*s[19])/144 + (1903817*s[20])/1584 + (1519447*s[21])/3168 - 
       (968623*s[22])/3168 - (143089*s[23])/264 - (500485*s[24])/792 + 
       (1792327*s[25])/2376 - (1088449*s[26])/2376 - s[31] + s[32]/2 - 
       (5*s[33])/8 + 2*s[34] + s[35]/2 + (5*s[36])/2 - (29*s[37])/12 - 
       (229*s[38])/12 + (1987*s[39])/24 - (2119*s[40])/24 + (817*s[41])/12 - 
       (1451*s[42])/12 - (16961*s[43])/264 + (19519*s[44])/264 - 
       (8083*s[45])/132 + (145687*s[46])/264 - (733*s[47])/22 + 
       (1951*s[48])/264 + (13737*s[49])/44 - (111461*s[50])/264 - 
       (10475*s[51])/132 - (1347*s[52])/22 + (58319*s[53])/198 - 
       (919*s[54])/264 + (1427431*s[55])/792 + (45821*s[56])/99 - 
       (776945*s[57])/1188 + (6344315*s[58])/7128 - (6512039*s[59])/7128 - 
       (1748917*s[60])/396 + (29225803*s[61])/128304 + s[65]/4 + s[66] - 
       s[67] - s[68] - 2*s[69] + s[70]/2 - s[71]/4 - s[72] + 2*s[73] + 
       (3*s[74])/4 - (3*s[75])/4 - s[77]/2 - 3*s[78] - 3*s[79] + 
       (7*s[80])/6 - 6*s[82] - (3*s[83])/4 - (3*s[84])/2) + 
     HPL[{1}, 1 - v]^2*K1[v, w, u]*((7*s[2])/4 - (17*s[3])/8 + 
       (307*s[4])/16 + (3479*s[5])/88 + (12087*s[6])/176 + 
       (597205*s[7])/1056 - (49945*s[8])/1584 - (35479*s[9])/72 - 
       (1450*s[10])/9 - (649867*s[11])/1056 - (84925*s[12])/132 - 
       (135395*s[13])/352 - (145351*s[14])/1056 - (25021*s[15])/32 - 
       (10693*s[16])/11 - (858401*s[17])/1056 - (23495*s[18])/216 - 
       (34733*s[19])/432 - (5612723*s[20])/4752 - (4456717*s[21])/9504 + 
       (2855405*s[22])/9504 + (23369*s[23])/44 + (369785*s[24])/594 - 
       (7956635*s[25])/10692 + (1201499*s[26])/2673 + s[31] - s[32]/2 + 
       (5*s[33])/8 - 2*s[34] - s[35]/2 - (5*s[36])/2 + (35*s[37])/12 + 
       (77*s[38])/4 - (653*s[39])/8 + (697*s[40])/8 - (267*s[41])/4 + 
       (475*s[42])/4 + (5619*s[43])/88 - (6489*s[44])/88 + (7919*s[45])/132 - 
       (143095*s[46])/264 + (1064*s[47])/33 - (1487*s[48])/264 - 
       (41027*s[49])/132 + (36527*s[50])/88 + (10259*s[51])/132 + 
       (3929*s[52])/66 - (57347*s[53])/198 + (47*s[54])/264 - 
       (467609*s[55])/264 - (89227*s[56])/198 + (755405*s[57])/1188 - 
       (6206711*s[58])/7128 + (6392147*s[59])/7128 + (191451*s[60])/44 - 
       (28506787*s[61])/128304 - s[65]/4 - s[66] + s[67] + s[68] + 2*s[69] - 
       s[70]/2 + s[71]/4 + s[72] - 2*s[73] - (3*s[74])/4 + (3*s[75])/4 + 
       s[77]/2 + 3*s[78] + 3*s[79] - (7*s[80])/6 + 6*s[82] + (3*s[83])/4 + 
       (3*s[84])/2) + HPL[{1}, 1 - u]^2*K1[v, w, u]*
      ((-37*s[3])/8 - (201*s[4])/16 - (103*s[5])/88 - (1673*s[6])/176 - 
       (31155*s[7])/352 + (25237*s[8])/1584 + (2339*s[9])/36 + (97*s[10])/9 + 
       (106393*s[11])/1056 + (32885*s[12])/264 + (78535*s[13])/1056 - 
       (28175*s[14])/1056 + (3253*s[15])/32 + (74039*s[16])/528 + 
       (83383*s[17])/1056 + (5609*s[18])/216 + (1781*s[19])/432 + 
       (675419*s[20])/4752 + (441655*s[21])/9504 - (401207*s[22])/9504 - 
       (118693*s[23])/528 - (330349*s[24])/4752 + (6170429*s[25])/42768 - 
       (2972459*s[26])/42768 - s[32]/4 + s[36]/2 + s[37]/2 - (9*s[38])/2 + 
       (139*s[39])/8 - (135*s[40])/8 + (97*s[41])/8 - (197*s[42])/8 - 
       (981*s[43])/88 + (1619*s[44])/176 - (653*s[45])/44 + (9113*s[46])/88 - 
       (2447*s[47])/176 + (1755*s[48])/176 + (7605*s[49])/176 - 
       (732*s[50])/11 - (8651*s[51])/528 - (3203*s[52])/176 + 
       (13433*s[53])/264 - (643*s[54])/44 + (164419*s[55])/528 + 
       (52157*s[56])/528 - (81953*s[57])/396 + (948655*s[58])/4752 - 
       (913933*s[59])/4752 - (742343*s[60])/1056 + (2241763*s[61])/42768 - 
       s[73] + 3*s[79] - s[80] + 6*s[82] + (3*s[83])/4 + (3*s[84])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*Phi6[u, v, w]*
      ((-23*s[3])/4 - (91*s[4])/8 + s[5]/2 - (47*s[6])/8 - (4535*s[7])/144 + 
       (4085*s[8])/216 + (1381*s[9])/108 - (1687*s[10])/108 + 
       (4163*s[11])/144 + (445*s[12])/9 + (835*s[13])/48 - (4201*s[14])/144 + 
       (1285*s[15])/48 + (305*s[16])/8 + (49*s[17])/144 + (2885*s[18])/81 - 
       (19999*s[19])/648 + (23461*s[20])/648 + (12893*s[21])/1296 - 
       (10453*s[22])/1296 - (6541*s[23])/24 + (25627*s[24])/648 + 
       (300757*s[25])/5832 - (150079*s[26])/5832 - s[30] + s[32]/2 - 
       (2*s[36])/3 + s[37]/6 + s[38] + (15*s[39])/2 - (35*s[40])/6 + 
       3*s[41] - (91*s[42])/6 + (25*s[43])/6 - (65*s[44])/12 - 
       (101*s[45])/12 + (147*s[46])/4 - (767*s[47])/36 + (1045*s[48])/36 - 
       (1315*s[49])/36 - s[50]/3 - (379*s[51])/36 - (637*s[52])/36 + 
       (235*s[53])/12 - (117*s[54])/2 + (613*s[55])/6 + (3049*s[56])/36 - 
       (10835*s[57])/54 + (19201*s[58])/162 - (32399*s[59])/324 + 
       (2111*s[60])/27 + (130055*s[61])/2916 - s[68] + s[70] - 2*s[73] - 
       2*s[77] + 4*s[79] + s[80]/3 + 12*s[82] + (3*s[83])/2 + 3*s[84]) + 
     F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      ((-91*s[3])/8 - (493*s[4])/16 - (357*s[5])/88 - (5757*s[6])/176 - 
       (695143*s[7])/3168 + (57685*s[8])/1584 + (5831*s[9])/36 + 
       (697*s[10])/36 + (265049*s[11])/1056 + (82139*s[12])/264 + 
       (594413*s[13])/3168 - (44599*s[14])/1056 + (70561*s[15])/288 + 
       (537271*s[16])/1584 + (602869*s[17])/3168 + (1841*s[18])/27 + 
       (49*s[19])/432 + (1721719*s[20])/4752 + (126391*s[21])/1056 - 
       (982811*s[22])/9504 - (898703*s[23])/1584 - (779107*s[24])/4752 + 
       (5051029*s[25])/14256 - (2497855*s[26])/14256 - s[30]/2 + s[32]/2 - 
       (7*s[36])/12 - (11*s[37])/8 - 11*s[38] + (707*s[39])/16 - 
       (2189*s[40])/48 + (487*s[41])/16 - (3085*s[42])/48 - 
       (14359*s[43])/528 + (25997*s[44])/1056 - (6433*s[45])/176 + 
       (68447*s[46])/264 - (118819*s[47])/3168 + (81887*s[48])/3168 + 
       (299785*s[49])/3168 - (10187*s[50])/66 - (144209*s[51])/3168 - 
       (161063*s[52])/3168 + (93997*s[53])/792 - (9707*s[54])/132 + 
       (257849*s[55])/352 + (868759*s[56])/3168 - (707963*s[57])/1188 + 
       (14888651*s[58])/28512 - (13868411*s[59])/28512 - 
       (31776265*s[60])/19008 + (8791055*s[61])/64152 - s[68] + s[70] - 
       2*s[73] - 2*s[77] + 4*s[79] + s[80]/4 + 15*s[82] + (3*s[83])/2 + 
       3*s[84]) + F1[v, w, u]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      ((-13*s[3])/2 - (213*s[4])/8 - (403*s[5])/88 - (1141*s[6])/44 - 
       (346415*s[7])/1584 + (20815*s[8])/594 + (37229*s[9])/216 + 
       (5827*s[10])/216 + (392407*s[11])/1584 + (240079*s[12])/792 + 
       (281987*s[13])/1584 - (51155*s[14])/1584 + (35491*s[15])/144 + 
       (136055*s[16])/396 + (34611*s[17])/176 + (43399*s[18])/648 - 
       (1213*s[19])/648 + (2724479*s[20])/7128 + (1850473*s[21])/14256 - 
       (1566779*s[22])/14256 - (210865*s[23])/396 - (294643*s[24])/1782 + 
       (43752805*s[25])/128304 - (22117957*s[26])/128304 - s[30] + s[32]/2 - 
       (5*s[36])/6 - (19*s[37])/12 - 9*s[38] + (361*s[39])/8 - 
       (1159*s[40])/24 + (285*s[41])/8 - (1655*s[42])/24 - (7001*s[43])/264 + 
       (15823*s[44])/528 - (7907*s[45])/264 + (8321*s[46])/33 - 
       (56429*s[47])/1584 + (41449*s[48])/1584 + (168143*s[49])/1584 - 
       (10799*s[50])/66 - (77095*s[51])/1584 - (73693*s[52])/1584 + 
       (46813*s[53])/396 - (1495*s[54])/33 + (124963*s[55])/176 + 
       (132115*s[56])/528 - (82807*s[57])/132 + (2434747*s[58])/4752 - 
       (2290015*s[59])/4752 - (16004147*s[60])/9504 + (2588401*s[61])/21384 - 
       s[68] + s[70] - 2*s[73] - 2*s[77] + (11*s[80])/6 + 15*s[82] + 
       (3*s[83])/2 + 3*s[84]) + G[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      ((109*s[3])/4 + (2481*s[4])/8 + (8433*s[5])/44 + (42305*s[6])/88 + 
       (7330219*s[7])/1584 - (867187*s[8])/2376 - (209393*s[9])/54 - 
       (65395*s[10])/54 - (8220847*s[11])/1584 - (570461*s[12])/99 - 
       (623357*s[13])/176 - (546811*s[14])/1584 - (293639*s[15])/48 - 
       (2059763*s[16])/264 - (9199577*s[17])/1584 - (226745*s[18])/324 - 
       (584051*s[19])/648 - (64172117*s[20])/7128 - (45296797*s[21])/14256 + 
       (34745369*s[22])/14256 + (456257*s[23])/88 + (38464105*s[24])/7128 - 
       (432683105*s[25])/64152 + (229253567*s[26])/64152 - s[30] + 
       (3*s[32])/2 - 10*s[35] - (70*s[36])/3 + (365*s[37])/12 + 
       (423*s[38])/2 - (2783*s[39])/4 + (9181*s[40])/12 - (1139*s[41])/2 + 
       (2816*s[42])/3 + (8029*s[43])/12 - (16001*s[44])/24 + 
       (15623*s[45])/24 - (123463*s[46])/24 + (11605*s[47])/72 + 
       (13147*s[48])/72 - (218491*s[49])/72 + (11839*s[50])/3 + 
       (43421*s[51])/72 + (37067*s[52])/72 - (192305*s[53])/72 - 
       (1169*s[54])/12 - (411097*s[55])/24 - (101041*s[56])/24 + 
       (80945*s[57])/18 - (15949*s[58])/2 + (593827*s[59])/72 + 
       (9452159*s[60])/216 - (7870285*s[61])/3888 - s[68] + s[70] + s[71]/2 - 
       2*s[73] - 2*s[76] - s[77] + 6*s[78] + 38*s[79] - (7*s[80])/6 + 
       66*s[82] + (3*s[83])/2 + 3*s[84]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*((-23*s[2])/2 - (181*s[3])/4 - 
       (5495*s[4])/8 - (23629*s[5])/44 - (119309*s[6])/88 - 
       (6358489*s[7])/528 + (737845*s[8])/792 + (182873*s[9])/18 + 
       (119795*s[10])/36 + (6956887*s[11])/528 + (3772255*s[12])/264 + 
       (1505301*s[13])/176 + (978493*s[14])/528 + (775571*s[15])/48 + 
       (1799741*s[16])/88 + (8469173*s[17])/528 + (237377*s[18])/108 + 
       (401021*s[19])/216 + (57731225*s[20])/2376 + (41951287*s[21])/4752 - 
       (30028571*s[22])/4752 - (286009*s[23])/22 - (15863387*s[24])/1188 + 
       (355979627*s[25])/21384 - (197703161*s[26])/21384 + 2*s[30] - 
       2*s[31] - (3*s[32])/2 - (3*s[33])/2 - s[34] + 4*s[35] + 
       (121*s[36])/6 - (107*s[37])/3 - (759*s[38])/2 + (11941*s[39])/8 - 
       (40771*s[40])/24 + (10659*s[41])/8 - (51077*s[42])/24 - 
       (370169*s[43])/264 + (767599*s[44])/528 - (229223*s[45])/132 + 
       (1137799*s[46])/88 - (665681*s[47])/1584 - (620075*s[48])/1584 + 
       (10028099*s[49])/1584 - (329287*s[50])/33 - (2341183*s[51])/1584 - 
       (1875469*s[52])/1584 + (1824965*s[53])/264 - (7021*s[54])/44 + 
       (23421485*s[55])/528 + (18646465*s[56])/1584 - (11459845*s[57])/1188 + 
       (281053811*s[58])/14256 - (283985705*s[59])/14256 - 
       (1017992753*s[60])/9504 + (743171039*s[61])/128304 - s[68] + 2*s[69] - 
       5*s[70] + s[71] - 4*s[72] + 2*s[73] + 5*s[74] - 5*s[75] + 6*s[76] + 
       4*s[77] - 3*s[78] - 154*s[79] + (116*s[80])/3 - 270*s[82] - 
       (3*s[83])/2 - 63*s[84] - 80*s[85]) + F1[u, v, w]*HPL[{0, 1, 1}, 1 - u]*
      (-s[2] - 33*s[3] - (1595*s[4])/4 - (11895*s[5])/44 - (7938*s[6])/11 - 
       (2582617*s[7])/396 + (11749*s[8])/22 + (16445*s[9])/3 + 
       (7121*s[10])/4 + (941911*s[11])/132 + (171073*s[12])/22 + 
       (1831169*s[13])/396 + (30214*s[14])/33 + (315187*s[15])/36 + 
       (4389173*s[16])/396 + (3423073*s[17])/396 + (31637*s[18])/27 + 
       (55499*s[19])/54 + (7798595*s[20])/594 + (5585639*s[21])/1188 - 
       (225101*s[22])/66 - (716185*s[23])/99 - (718150*s[24])/99 + 
       (24229322*s[25])/2673 - (13303871*s[26])/2673 - s[30] + 2*s[31] - 
       s[32] + (11*s[33])/4 - 7*s[34] + 6*s[35] + (8*s[36])/3 - 
       (41*s[37])/3 - 196*s[38] + 785*s[39] - (2717*s[40])/3 + 719*s[41] - 
       (3385*s[42])/3 - (24037*s[43])/33 + (50393*s[44])/66 - 
       (63541*s[45])/66 + (154447*s[46])/22 - (94289*s[47])/396 - 
       (70661*s[48])/396 + (1302347*s[49])/396 - (359609*s[50])/66 - 
       (319681*s[51])/396 - (125417*s[52])/198 + (124715*s[53])/33 - 
       (722*s[54])/11 + (3222257*s[55])/132 + (2580337*s[56])/396 - 
       (1521097*s[57])/297 + (38226119*s[58])/3564 - (38503967*s[59])/3564 - 
       (138220955*s[60])/2376 + (102950345*s[61])/32076 - s[65] - 2*s[66] + 
       4*s[67] + 8*s[69] - 2*s[70] + s[71] - 8*s[73] + 2*s[74] - 2*s[75] + 
       2*s[76] - 2*s[77] + 4*s[78] - 96*s[79] + (80*s[80])/3 - 228*s[82] + 
       3*s[83] - 42*s[84] - 72*s[85]) + F1[v, w, u]*HPL[{0, 1, 1}, 1 - v]*
      ((-9*s[2])/2 - (139*s[3])/4 - (3809*s[4])/8 - (7177*s[5])/22 - 
       (76579*s[6])/88 - (12485557*s[7])/1584 + (1495841*s[8])/2376 + 
       (715517*s[9])/108 + (234631*s[10])/108 + (13697279*s[11])/1584 + 
       (1864715*s[12])/198 + (8929405*s[13])/1584 + (1705091*s[14])/1584 + 
       (1520687*s[15])/144 + (5295607*s[16])/396 + (5495239*s[17])/528 + 
       (447595*s[18])/324 + (838459*s[19])/648 + (112626607*s[20])/7128 + 
       (80520989*s[21])/14256 - (58910497*s[22])/14256 - (845810*s[23])/99 - 
       (31389553*s[24])/3564 + (352815365*s[25])/32076 - 
       (192913661*s[26])/32076 - s[30] - s[32] - (3*s[33])/2 - s[34] + 
       7*s[35] + (16*s[36])/3 - (41*s[37])/3 - 250*s[38] + (3885*s[39])/4 - 
       (13375*s[40])/12 + (3537*s[41])/4 - (16421*s[42])/12 - 
       (127217*s[43])/132 + (32321*s[44])/33 - (39767*s[45])/33 + 
       (1166863*s[46])/132 - (88453*s[47])/396 - (74603*s[48])/198 + 
       (1726159*s[49])/396 - (226766*s[50])/33 - (93722*s[51])/99 - 
       (295595*s[52])/396 + (942085*s[53])/198 + (281*s[54])/66 + 
       (2020427*s[55])/66 + (1055891*s[56])/132 - (717725*s[57])/132 + 
       (15598679*s[58])/1188 - (7916269*s[59])/594 - (176111761*s[60])/2376 + 
       (85112825*s[61])/21384 - 6*s[70] + s[71] - 2*s[72] + 2*s[73] + 
       (3*s[74])/2 - (3*s[75])/2 + 2*s[76] + 5*s[77] - 104*s[79] + 
       (98*s[80])/3 - 228*s[82] + 3*s[83] - 42*s[84] - 72*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*Phi6[u, v, w]*
      ((-31*s[2])/4 - (159*s[3])/8 - (6183*s[4])/16 - (27277*s[5])/88 - 
       (129791*s[6])/176 - (21073909*s[7])/3168 + (2531965*s[8])/4752 + 
       (1216639*s[9])/216 + (187393*s[10])/108 + (23146063*s[11])/3168 + 
       (6330239*s[12])/792 + (5063411*s[13])/1056 + (2775331*s[14])/3168 + 
       (845437*s[15])/96 + (982853*s[16])/88 + (27188597*s[17])/3168 + 
       (820103*s[18])/648 + (1204751*s[19])/1296 + (189171899*s[20])/14256 + 
       (138478777*s[21])/28512 - (99695873*s[22])/28512 - (255980*s[23])/33 - 
       (51302825*s[24])/7128 + (594604189*s[25])/64152 - 
       (329727097*s[26])/64152 - s[30] - 3*s[31] - (15*s[33])/8 + 5*s[34] + 
       (3*s[35])/2 + (25*s[36])/2 - 22*s[37] - (469*s[38])/2 + 907*s[39] - 
       (2037*s[40])/2 + (3165*s[41])/4 - (2577*s[42])/2 - (9226*s[43])/11 + 
       (150621*s[44])/176 - (23373*s[45])/22 + (171607*s[46])/22 - 
       (49407*s[47])/176 - (33127*s[48])/176 + (660909*s[49])/176 - 
       (65774*s[50])/11 - (157423*s[51])/176 - (128599*s[52])/176 + 
       (1101329*s[53])/264 - (1778*s[54])/11 + (14126165*s[55])/528 + 
       (3776789*s[56])/528 - (4758055*s[57])/792 + (56947051*s[58])/4752 - 
       (57461131*s[59])/4752 - (67805059*s[60])/1056 + 
       (75520403*s[61])/21384 - 2*s[68] + 2*s[69] - s[70] + s[71]/2 - 
       3*s[72] - s[73] + (11*s[74])/4 - (11*s[75])/4 + 5*s[76] - s[77]/2 - 
       3*s[78] - 74*s[79] + 16*s[80] - 248*s[82] - 48*s[84] - 70*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*Phi6[u, v, w]*
      ((-19*s[2])/4 - (31*s[3])/8 - (6183*s[4])/16 - (27981*s[5])/88 - 
       (131551*s[6])/176 - (21546997*s[7])/3168 + (2574029*s[8])/4752 + 
       (1250231*s[9])/216 + (192413*s[10])/108 + (23631647*s[11])/3168 + 
       (6453967*s[12])/792 + (15465673*s[13])/3168 + (2961011*s[14])/3168 + 
       (2595479*s[15])/288 + (9038617*s[16])/792 + (9266615*s[17])/1056 + 
       (836587*s[18])/648 + (1208695*s[19])/1296 + (194175403*s[20])/14256 + 
       (142264361*s[21])/28512 - (102337633*s[22])/28512 - 
       (1556549*s[23])/198 - (52408237*s[24])/7128 + (605989673*s[25])/
        64152 - (337102685*s[26])/64152 - s[30] - 3*s[31] + (9*s[33])/8 + 
       3*s[34] + (5*s[35])/2 + (203*s[36])/12 - (143*s[37])/6 - 
       (1069*s[38])/4 + (17061*s[39])/16 - (58235*s[40])/48 + 
       (15243*s[41])/16 - (73033*s[42])/48 - (535201*s[43])/528 + 
       (1093913*s[44])/1056 - (345821*s[45])/264 + (5049749*s[46])/528 - 
       (952735*s[47])/3168 - (928249*s[48])/3168 + (14399845*s[49])/3168 - 
       (973267*s[50])/132 - (3341141*s[51])/3168 - (2694119*s[52])/3168 + 
       (4073045*s[53])/792 - (18409*s[54])/132 + (34887859*s[55])/1056 + 
       (9323893*s[56])/1056 - (2656081*s[57])/396 + (45925433*s[58])/3168 - 
       (15454013*s[59])/1056 - (1503428659*s[60])/19008 + 
       (372934649*s[61])/85536 - 2*s[68] + 2*s[69] - 3*s[70] + s[71]/2 - 
       3*s[72] - s[73]/2 + (13*s[74])/4 - (13*s[75])/4 + 6*s[76] - 
       (3*s[77])/2 - (5*s[78])/2 - 107*s[79] + (161*s[80])/6 - 248*s[82] - 
       48*s[84] - 70*s[85]) + F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      (-14*s[2] - (95*s[3])/2 - (2867*s[4])/8 - (30903*s[5])/88 - 
       (8644*s[6])/11 - (1774261*s[7])/264 + (282059*s[8])/594 + 
       (307705*s[9])/54 + (398495*s[10])/216 + (5834365*s[11])/792 + 
       (1569281*s[12])/198 + (3774847*s[13])/792 + (444767*s[14])/396 + 
       (652775*s[15])/72 + (9054757*s[16])/792 + (7188835*s[17])/792 + 
       (208931*s[18])/162 + (80519*s[19])/81 + (48560705*s[20])/3564 + 
       (36405535*s[21])/7128 - (12548785*s[22])/3564 - (720757*s[23])/99 - 
       (6589645*s[24])/891 + (591137587*s[25])/64152 - 
       (335834695*s[26])/64152 - 2*s[29] + (5*s[30])/2 - 7*s[31] - 2*s[32] - 
       (45*s[33])/8 + (19*s[34])/2 + 4*s[35] + (47*s[36])/3 - (70*s[37])/3 - 
       226*s[38] + (3501*s[39])/4 - (11579*s[40])/12 + (2963*s[41])/4 - 
       (14935*s[42])/12 - (99589*s[43])/132 + (211613*s[44])/264 - 
       (57311*s[45])/66 + (888089*s[46])/132 - (124889*s[47])/396 - 
       (15733*s[48])/198 + (1371773*s[49])/396 - (675247*s[50])/132 - 
       (84706*s[51])/99 - (549611*s[52])/792 + (701693*s[53])/198 - 
       (5603*s[54])/66 + (2966107*s[55])/132 + (788219*s[56])/132 - 
       (651064*s[57])/99 + (2110783*s[58])/198 - (2130863*s[59])/198 - 
       (130167821*s[60])/2376 + (63025805*s[61])/21384 + s[65]/2 + 2*s[66] - 
       2*s[67] - 4*s[68] - 3*s[69] - 2*s[70] - s[71]/2 - 4*s[72] + 4*s[73] + 
       4*s[74] - 4*s[75] + 4*s[76] - s[77] - 8*s[78] - 50*s[79] + 
       (34*s[80])/3 - 126*s[82] - (3*s[83])/2 - 27*s[84] - 36*s[85]) + 
     F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      ((-9*s[2])/4 + (71*s[3])/8 - (3911*s[4])/16 - (4195*s[5])/22 - 
       (81657*s[6])/176 - (1571219*s[7])/352 + (1480427*s[8])/4752 + 
       (824357*s[9])/216 + (275299*s[10])/216 + (15516161*s[11])/3168 + 
       (2099771*s[12])/396 + (10152467*s[13])/3168 + (2246405*s[14])/3168 + 
       (1721833*s[15])/288 + (5984285*s[16])/792 + (18677651*s[17])/3168 + 
       (486115*s[18])/648 + (984205*s[19])/1296 + (128972533*s[20])/14256 + 
       (92751851*s[21])/28512 - (67725607*s[22])/28512 - (861805*s[23])/198 - 
       (36354553*s[24])/7128 + (198118759*s[25])/32076 - 
       (109056163*s[26])/32076 - 2*s[29] + s[30]/2 - (3*s[32])/2 - s[33]/4 - 
       (3*s[34])/2 + (3*s[35])/2 - (79*s[37])/6 - (287*s[38])/2 + 
       (4309*s[39])/8 - (5093*s[40])/8 + (4087*s[41])/8 - (6065*s[42])/8 - 
       (48107*s[43])/88 + (49887*s[44])/88 - (84581*s[45])/132 + 
       (1273621*s[46])/264 - (4287*s[47])/44 - (22291*s[48])/88 + 
       (109353*s[49])/44 - (167633*s[50])/44 - (47507*s[51])/88 - 
       (9103*s[52])/22 + (1011379*s[53])/396 + (2495*s[54])/33 + 
       (4373987*s[55])/264 + (1687277*s[56])/396 - (7302067*s[57])/2376 + 
       (25564633*s[58])/3564 - (51710279*s[59])/7128 - (16303733*s[60])/396 + 
       (267384841*s[61])/128304 - s[65]/2 - s[66] + 2*s[67] + 3*s[68] + 
       3*s[69] - 4*s[70] + s[71] + s[72] - s[73] + (3*s[74])/4 - 
       (3*s[75])/4 + (7*s[77])/2 + 4*s[78] - 94*s[79] + (86*s[80])/3 - 
       126*s[82] - (3*s[83])/2 - 27*s[84] - 36*s[85]) + 
     F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*(-4*s[2] - 22*s[3] - 
       (1515*s[4])/8 - (12099*s[5])/88 - (7591*s[6])/22 - (427601*s[7])/132 + 
       (286315*s[8])/1188 + (295487*s[9])/108 + (203447*s[10])/216 + 
       (348401*s[11])/99 + (746573*s[12])/198 + (446257*s[13])/198 + 
       (403093*s[14])/792 + (80009*s[15])/18 + (4399129*s[16])/792 + 
       (439862*s[17])/99 + (186877*s[18])/324 + (88003*s[19])/162 + 
       (23490449*s[20])/3564 + (8480729*s[21])/3564 - (12113675*s[22])/7128 - 
       (329284*s[23])/99 - (13048633*s[24])/3564 + (284681431*s[25])/64152 - 
       (157894435*s[26])/64152 - 2*s[29] - s[30]/2 - s[31] + s[32]/2 - 
       (7*s[33])/8 - s[34]/2 + 2*s[35] + (31*s[36])/6 - (59*s[37])/12 - 
       86*s[38] + (2751*s[39])/8 - (9625*s[40])/24 + (2611*s[41])/8 - 
       (11873*s[42])/24 - (86435*s[43])/264 + (181585*s[44])/528 - 
       (115147*s[45])/264 + (139047*s[46])/44 - (148637*s[47])/1584 - 
       (144611*s[48])/1584 + (2372759*s[49])/1584 - (330811*s[50])/132 - 
       (573835*s[51])/1584 - (429739*s[52])/1584 + (37795*s[53])/22 + 
       (961*s[54])/22 + (1956775*s[55])/176 + (4586617*s[56])/1584 - 
       (599800*s[57])/297 + (67537805*s[58])/14256 - (68394857*s[59])/14256 - 
       (252852179*s[60])/9504 + (22998985*s[61])/16038 - s[65]/2 - s[66] + 
       2*s[67] + 4*s[69] - 3*s[70] + s[71]/2 - 4*s[73] + s[74] - s[75] + 
       s[76] + 3*s[77] + 2*s[78] - 50*s[79] + (67*s[80])/6 - 114*s[82] - 
       24*s[84] - 36*s[85]) + F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-35*s[2])/4 - (97*s[3])/8 - (4231*s[4])/16 - (19633*s[5])/88 - 
       (90667*s[6])/176 - (5069329*s[7])/1056 + (1597421*s[8])/4752 + 
       (440431*s[9])/108 + (148061*s[10])/108 + (16596353*s[11])/3168 + 
       (4456201*s[12])/792 + (10671839*s[13])/3168 + (2439377*s[14])/3168 + 
       (1877365*s[15])/288 + (1618649*s[16])/198 + (20595719*s[17])/3168 + 
       (139753*s[18])/162 + (1011949*s[19])/1296 + (138998881*s[20])/14256 + 
       (101530427*s[21])/28512 - (72195931*s[22])/28512 - 
       (3900001*s[23])/792 - (4793351*s[24])/891 + (844088359*s[25])/128304 - 
       (470355151*s[26])/128304 - 2*s[29] + s[30]/2 - 4*s[31] - s[32] - 
       (27*s[33])/4 + (9*s[34])/2 + (5*s[35])/2 + 9*s[36] - 9*s[37] - 
       150*s[38] + (4627*s[39])/8 - (5275*s[40])/8 + (4239*s[41])/8 - 
       (6545*s[42])/8 - (48685*s[43])/88 + (50715*s[44])/88 - 
       (29533*s[45])/44 + (443941*s[46])/88 - (4811*s[47])/33 - 
       (50269*s[48])/264 + (168379*s[49])/66 - (43480*s[50])/11 - 
       (50397*s[51])/88 - (58225*s[52])/132 + (119337*s[53])/44 + 
       (3627*s[54])/44 + (4588127*s[55])/264 + (293789*s[56])/66 - 
       (2640239*s[57])/792 + (8932313*s[58])/1188 - (18177781*s[59])/2376 - 
       (33493787*s[60])/792 + (94836821*s[61])/42768 + s[66] - s[68] - 
       s[69] - 2*s[70] + s[71]/2 - s[72] + s[73] + (9*s[74])/4 - 
       (9*s[75])/4 + 2*s[76] - (3*s[77])/2 - 2*s[78] - 64*s[79] + 15*s[80] - 
       114*s[82] - 24*s[84] - 36*s[85]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*Phi6[u, v, w]*((-11*s[2])/2 - (45*s[3])/2 - 
       (865*s[4])/4 - (15805*s[5])/88 - (39399*s[6])/88 - 
       (3160925*s[7])/792 + (715171*s[8])/2376 + (724601*s[9])/216 + 
       (247705*s[10])/216 + (1731703*s[11])/396 + (3752971*s[12])/792 + 
       (744779*s[13])/264 + (517667*s[14])/792 + (21289*s[15])/4 + 
       (448543*s[16])/66 + (4233265*s[17])/792 + (480007*s[18])/648 + 
       (208585*s[19])/324 + (28886503*s[20])/3564 + (10520419*s[21])/3564 - 
       (14880529*s[22])/7128 - (540497*s[23])/132 - (15937919*s[24])/3564 + 
       (704613397*s[25])/128304 - (392637181*s[26])/128304 - s[30] + 
       s[32]/2 + (13*s[33])/4 - 2*s[34] + 2*s[35] + (17*s[36])/6 - 
       (16*s[37])/3 - (259*s[38])/2 + (3773*s[39])/8 - (12875*s[40])/24 + 
       (3371*s[41])/8 - (15541*s[42])/24 - (126529*s[43])/264 + 
       (252743*s[44])/528 - (85495*s[45])/132 + (398215*s[46])/88 - 
       (151033*s[47])/1584 - (378403*s[48])/1584 + (3460147*s[49])/1584 - 
       (230305*s[50])/66 - (705431*s[51])/1584 - (577301*s[52])/1584 + 
       (636917*s[53])/264 + (1283*s[54])/44 + (2747615*s[55])/176 + 
       (6514793*s[56])/1584 - (736619*s[57])/297 + (95033227*s[58])/14256 - 
       (95584009*s[59])/14256 - (360805177*s[60])/9504 + 
       (266646751*s[61])/128304 - 4*s[70] + s[71] + s[74] - s[75] + 2*s[76] + 
       2*s[77] + s[78] - 32*s[79] + (28*s[80])/3 - 114*s[82] + (3*s[83])/2 - 
       21*s[84] - 36*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      Phi6[u, v, w]*((-11*s[2])/2 - (15*s[3])/4 - (1235*s[4])/8 - 
       (10991*s[5])/88 - (7291*s[6])/22 - (4634227*s[7])/1584 + 
       (142553*s[8])/594 + (532021*s[9])/216 + (182057*s[10])/216 + 
       (5029913*s[11])/1584 + (2721101*s[12])/792 + (3207181*s[13])/1584 + 
       (826559*s[14])/1584 + (563411*s[15])/144 + (3963755*s[16])/792 + 
       (2087039*s[17])/528 + (369305*s[18])/648 + (260377*s[19])/648 + 
       (42792085*s[20])/7128 + (31265675*s[21])/14256 - 
       (21871633*s[22])/14256 - (2500195*s[23])/792 - (22894889*s[24])/7128 + 
       (509342951*s[25])/128304 - (287376131*s[26])/128304 + s[30] + 
       (7*s[33])/4 - 4*s[34] + 2*s[35] + (7*s[36])/3 - (29*s[37])/6 - 
       74*s[38] + (647*s[39])/2 - (2285*s[40])/6 + (611*s[41])/2 - 
       (1427*s[42])/3 - (19717*s[43])/66 + (42311*s[44])/132 - 
       (54325*s[45])/132 + (131671*s[46])/44 - (80177*s[47])/792 - 
       (58133*s[48])/792 + (1063991*s[49])/792 - (306689*s[50])/132 - 
       (272341*s[51])/792 - (105329*s[52])/396 + (53371*s[53])/33 - 
       (556*s[54])/11 + (2759885*s[55])/264 + (2260981*s[56])/792 - 
       (1318453*s[57])/594 + (32730575*s[58])/7128 - (32770607*s[59])/7128 - 
       (117206495*s[60])/4752 + (89801813*s[61])/64152 - s[65]/2 - s[66] + 
       2*s[67] + 4*s[69] - s[70] + s[71]/2 - 4*s[73] + s[74] - s[75] + 
       s[76] - s[77] + 2*s[78] - 48*s[79] + (40*s[80])/3 - 114*s[82] + 
       (3*s[83])/2 - 21*s[84] - 36*s[85]) + F1[w, u, v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*(-21*s[3] - (51*s[4])/4 - (11*s[6])/4 - 
       (1807*s[7])/24 + (587*s[8])/108 + (995*s[9])/27 + (868*s[10])/27 + 
       (7067*s[11])/72 + (3869*s[12])/36 + (5939*s[13])/72 - 
       (4339*s[14])/72 + (7973*s[15])/72 + (4915*s[16])/36 + 
       (7625*s[17])/72 - (685*s[18])/162 + (22073*s[19])/324 + 
       (27073*s[20])/324 + (14639*s[21])/648 - (16993*s[22])/648 - 
       (1435*s[23])/18 - (10019*s[24])/81 + (110449*s[25])/729 - 
       (84485*s[26])/1458 - s[30] + 6*s[36] + (17*s[37])/6 - 10*s[38] + 
       (13*s[39])/2 + (5*s[40])/2 - (13*s[41])/2 + 6*s[42] - (35*s[43])/2 + 
       (9*s[44])/4 - (173*s[45])/6 + (292*s[46])/3 + (25*s[47])/4 - 
       (73*s[48])/4 + (365*s[49])/4 - (149*s[50])/2 + (45*s[51])/4 + 
       (13*s[52])/4 + (1009*s[53])/18 + (265*s[54])/3 + (4717*s[55])/12 + 
       (541*s[56])/36 + (16403*s[57])/108 + (33929*s[58])/324 - 
       (42677*s[59])/324 - (68483*s[60])/72 + (118703*s[61])/2916 - s[68] - 
       s[69] + s[76] - s[77] + 2*s[78] + 22*s[79] - (34*s[80])/3 - 34*s[82] - 
       12*s[84] - 14*s[85]) + F1[w, u, v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      (20*s[3] - (51*s[4])/4 - (9*s[5])/4 + (21*s[6])/2 - (1745*s[7])/8 + 
       (496*s[8])/27 + (22027*s[9])/108 + (8591*s[10])/108 + 
       (17599*s[11])/72 + (2434*s[12])/9 + (12649*s[13])/72 - 
       (2333*s[14])/72 + (21631*s[15])/72 + (3329*s[16])/9 + 
       (18691*s[17])/72 - (3991*s[18])/324 + (27739*s[19])/324 + 
       (129413*s[20])/324 + (74359*s[21])/648 - (86987*s[22])/648 - 
       (5161*s[23])/36 - (98809*s[24])/324 + (1936519*s[25])/5832 - 
       (836143*s[26])/5832 + s[30] - (3*s[35])/2 + (31*s[36])/4 - 
       (41*s[37])/6 - (225*s[38])/4 + (3307*s[39])/16 - (3783*s[40])/16 + 
       (3113*s[41])/16 - (4713*s[42])/16 - (34021*s[43])/176 + 
       (72037*s[44])/352 - (55307*s[45])/264 + (884803*s[46])/528 - 
       (51223*s[47])/1056 - (47593*s[48])/1056 + (956845*s[49])/1056 - 
       (59773*s[50])/44 - (218653*s[51])/1056 - (161771*s[52])/1056 + 
       (719749*s[53])/792 + (3295*s[54])/33 + (6098585*s[55])/1056 + 
       (4369589*s[56])/3168 - (1396165*s[57])/1188 + (71120323*s[58])/28512 - 
       (73375957*s[59])/28512 - (90161003*s[60])/6336 + 
       (177190333*s[61])/256608 - 2*s[68] - s[70] + s[71]/2 - s[72] + 
       s[73]/2 + (3*s[74])/4 - (3*s[75])/4 - 3*s[76] - s[77]/2 + s[78]/2 - 
       33*s[79] + (47*s[80])/6 - 34*s[82] - 12*s[84] - 14*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*Phi6[u, v, w]*
      (-3*s[3] + (9*s[4])/2 - (37*s[5])/44 + (136*s[6])/11 + (585*s[7])/44 - 
       (1025*s[8])/198 - (155*s[9])/9 + (809*s[10])/36 - (7243*s[11])/264 - 
       (15311*s[12])/264 - (4679*s[13])/132 - (947*s[14])/132 + 48*s[15] - 
       (881*s[16])/132 + (14285*s[17])/264 - (2053*s[18])/108 + 
       (1943*s[19])/54 - (5312*s[20])/297 + (3139*s[21])/1188 + 
       (7463*s[22])/594 + (41027*s[23])/264 - (93409*s[24])/2376 - 
       (113876*s[25])/2673 + (147155*s[26])/10692 + 2*s[36] + 8*s[37] - 
       21*s[39] + 29*s[40] - 21*s[41] + 36*s[42] + (151*s[43])/11 - 
       (1979*s[44])/88 + (119*s[45])/22 - (2317*s[46])/22 + 
       (4079*s[47])/264 + (1703*s[48])/264 - (14657*s[49])/264 + 
       (1363*s[50])/22 + (9199*s[51])/264 + (3451*s[52])/264 - 
       (1570*s[53])/33 + (1367*s[54])/22 - (66703*s[55])/264 - 
       (34955*s[56])/264 + (117367*s[57])/396 - (484339*s[58])/2376 + 
       (433489*s[59])/2376 + (1165031*s[60])/1584 - (973777*s[61])/21384 + 
       12*s[79] - 8*s[80] - 28*s[82] - 8*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*Phi6[u, v, w]*
      ((9*s[4])/2 - (257*s[5])/44 + (37*s[6])/11 - (4889*s[7])/132 - 
       (65*s[8])/22 + 30*s[9] + (149*s[10])/4 + (2191*s[11])/88 - 
       (293*s[12])/88 - (719*s[13])/132 + (931*s[14])/44 + (346*s[15])/3 + 
       (10999*s[16])/132 + (34789*s[17])/264 + (13*s[18])/36 + 
       (565*s[19])/18 + (10421*s[20])/99 + (24733*s[21])/396 - 
       (159*s[22])/11 + (27035*s[23])/264 - (7563*s[24])/88 + 
       (10588*s[25])/891 - (125467*s[26])/3564 + 2*s[30] + s[36] + 16*s[37] + 
       2*s[38] - (61*s[39])/4 + (49*s[40])/4 + (11*s[41])/4 + (109*s[42])/4 - 
       (829*s[43])/44 + (127*s[44])/11 - (455*s[45])/11 + (8579*s[46])/44 + 
       (3331*s[47])/66 - (9343*s[48])/132 + (3457*s[49])/33 - 
       (4569*s[50])/22 + (3185*s[51])/132 + (3481*s[52])/132 + 
       (7067*s[53])/44 + (2157*s[54])/22 + (149371*s[55])/132 + 
       (5144*s[56])/33 + (343639*s[57])/396 + (23863*s[58])/1188 - 
       (160411*s[59])/1188 - (869969*s[60])/396 + (1171573*s[61])/10692 + 
       2*s[68] - 2*s[69] - 4*s[76] + 2*s[77] + 2*s[78] + 8*s[79] - 2*s[80] - 
       28*s[82] - 8*s[85]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      Phi6[u, v, w]*((-3*s[3])/8 - (137*s[4])/16 - (105*s[5])/44 - 
       (729*s[6])/176 - (109961*s[7])/1056 + (1937*s[8])/176 + (353*s[9])/4 + 
       (229*s[10])/8 + (43473*s[11])/352 + (25741*s[12])/176 + 
       (94651*s[13])/1056 - (3073*s[14])/352 + (4177*s[15])/32 + 
       (99203*s[16])/528 + (129281*s[17])/1056 + (229*s[18])/72 + 
       (4879*s[19])/144 + (309889*s[20])/1584 + (162145*s[21])/3168 - 
       (61979*s[22])/1056 - (25607*s[23])/264 - (9013*s[24])/66 + 
       (2440637*s[25])/14256 - (1016945*s[26])/14256 - s[30] - s[32]/2 + 
       (3*s[35])/2 + (3*s[36])/2 - (71*s[37])/12 - (15*s[38])/4 + 
       (135*s[39])/8 - (139*s[40])/8 + (19*s[41])/2 - (49*s[42])/2 - 
       (689*s[43])/88 + (593*s[44])/44 + (211*s[45])/132 + (9859*s[46])/264 - 
       (7505*s[47])/528 + (6025*s[48])/528 + (25463*s[49])/528 - 
       (1151*s[50])/44 - (6557*s[51])/528 - (2711*s[52])/264 + 
       (3217*s[53])/396 + (2887*s[54])/264 + (12811*s[55])/528 + 
       (15815*s[56])/1584 - (594283*s[57])/2376 + (1546873*s[58])/14256 - 
       (1424941*s[59])/14256 - (308743*s[60])/1056 + (36389*s[61])/64152 + 
       s[66]/2 - s[68]/2 - s[71]/4 - s[77] - (3*s[78])/2 - 2*s[79] + 
       (13*s[80])/6 - 8*s[82] + 2*s[85]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*((27*s[3])/8 - (125*s[4])/16 - 
       (215*s[5])/44 - (1037*s[6])/176 - (142829*s[7])/1056 + 
       (56875*s[8])/4752 + (12731*s[9])/108 + (8423*s[10])/216 + 
       (491665*s[11])/3168 + (280069*s[12])/1584 + (334465*s[13])/3168 + 
       (25495*s[14])/3168 + (49733*s[15])/288 + (381143*s[16])/1584 + 
       (541579*s[17])/3168 + (7433*s[18])/648 + (43043*s[19])/1296 + 
       (3854153*s[20])/14256 + (2324521*s[21])/28512 - 
       (2216261*s[22])/28512 - (49603*s[23])/396 - (1256291*s[24])/7128 + 
       (26350289*s[25])/128304 - (12241349*s[26])/128304 - s[30]/2 + 
       (3*s[32])/2 + (3*s[35])/2 + (5*s[36])/4 - (10*s[37])/3 - 
       (15*s[38])/4 + (317*s[39])/16 - (385*s[40])/16 + (275*s[41])/16 - 
       (455*s[42])/16 - (3691*s[43])/176 + (8883*s[44])/352 - 
       (2951*s[45])/264 + (69961*s[46])/528 - (2245*s[47])/1056 - 
       (16963*s[48])/1056 + (111103*s[49])/1056 - (4799*s[50])/44 - 
       (18143*s[51])/1056 - (7421*s[52])/1056 + (115859*s[53])/1584 + 
       (4553*s[54])/264 + (465779*s[55])/1056 + (300167*s[56])/3168 - 
       (223019*s[57])/2376 + (5238181*s[58])/28512 - (5943799*s[59])/28512 - 
       (7970045*s[60])/6336 + (10338721*s[61])/256608 + s[66]/2 + 
       (3*s[68])/2 - s[69] - s[71]/4 - s[76]/2 - s[77] - 5*s[79] + 
       (17*s[80])/6 - 8*s[82] + 2*s[85]) + F1[v, w, u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*((-7*s[2])/2 - (19*s[3])/2 - (99*s[4])/2 - 
       (3161*s[5])/44 - (6177*s[6])/44 - (833203*s[7])/792 + 
       (43807*s[8])/594 + (48323*s[9])/54 + (28319*s[10])/108 + 
       (457147*s[11])/396 + (122759*s[12])/99 + (292115*s[13])/396 + 
       (77899*s[14])/396 + (100685*s[15])/72 + (1412581*s[16])/792 + 
       (188725*s[17])/132 + (80027*s[18])/324 + (32389*s[19])/324 + 
       (7597855*s[20])/3564 + (3045505*s[21])/3564 - (487166*s[22])/891 - 
       (1046483*s[23])/792 - (7548895*s[24])/7128 + (45483643*s[25])/32076 - 
       (13608077*s[26])/16038 - 2*s[31] + s[32]/2 - (5*s[33])/4 + 4*s[34] + 
       s[35] + (14*s[36])/3 - (25*s[37])/6 - (73*s[38])/2 + 166*s[39] - 
       (515*s[40])/3 + (507*s[41])/4 - (2929*s[42])/12 - (3688*s[43])/33 + 
       (34475*s[44])/264 - (3851*s[45])/33 + (22445*s[46])/22 - 
       (73207*s[47])/792 + (37013*s[48])/792 + (421933*s[49])/792 - 
       (95779*s[50])/132 - (128741*s[51])/792 - (109079*s[52])/792 + 
       (68699*s[53])/132 - (3199*s[54])/44 + (826445*s[55])/264 + 
       (720767*s[56])/792 - (497671*s[57])/297 + (12763027*s[58])/7128 - 
       (12597661*s[59])/7128 - (35963863*s[60])/4752 + 
       (7279057*s[61])/16038 + s[65]/2 + 2*s[66] - 2*s[67] - 2*s[68] - 
       4*s[69] + s[70] - s[71]/2 - 2*s[72] + 2*s[73] + (3*s[74])/2 - 
       (3*s[75])/2 + 2*s[76] - s[77] - 8*s[78] + 6*s[79] - (4*s[80])/3 + 
       24*s[82] + 4*s[85]) + F1[u, v, w]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((7*s[2])/2 + (25*s[3])/2 + (155*s[4])/2 + (4179*s[5])/44 + 
       (7803*s[6])/44 + (1213463*s[7])/792 - (32602*s[8])/297 - 
       (35066*s[9])/27 - (44677*s[10])/108 - (331741*s[11])/198 - 
       (177037*s[12])/99 - (211493*s[13])/198 - (24590*s[14])/99 - 
       (151873*s[15])/72 - (2081339*s[16])/792 - (140473*s[17])/66 - 
       (95983*s[18])/324 - (75065*s[19])/324 - (11060255*s[20])/3564 - 
       (2131771*s[21])/1782 + (2846461*s[22])/3564 + (1360717*s[23])/792 + 
       (11943893*s[24])/7128 - (66909503*s[25])/32076 + 
       (19359937*s[26])/16038 + 2*s[31] + s[32]/2 + (5*s[33])/4 - 4*s[34] - 
       s[35] - 7*s[36] + (31*s[37])/6 + 62*s[38] - (953*s[39])/4 + 
       (993*s[40])/4 - (763*s[41])/4 + (1333*s[42])/4 + (8999*s[43])/44 - 
       (9301*s[44])/44 + (7439*s[45])/33 - (235919*s[46])/132 + 
       (22211*s[47])/264 + (3137*s[48])/264 - (256493*s[49])/264 + 
       (60051*s[50])/44 + (18831*s[51])/88 + (5675*s[52])/33 - 
       (387511*s[53])/396 - (791*s[54])/33 - (1607431*s[55])/264 - 
       (1186381*s[56])/792 + (1686089*s[57])/1188 - (19328381*s[58])/7128 + 
       (20208581*s[59])/7128 + (23182963*s[60])/1584 - 
       (48509741*s[61])/64152 - s[65]/2 - s[66] + 2*s[67] + 2*s[68] + 
       4*s[69] + s[70] + s[71]/2 + 2*s[72] - 2*s[73] - (3*s[74])/2 + 
       (3*s[75])/2 + s[76] - 2*s[77] + 4*s[78] - 6*s[79] + (10*s[80])/3 + 
       24*s[82] + 4*s[85]) + HPL[{0, 1, 1, 1}, 1 - v]*Phi6[u, v, w]*
      (12*s[3] + (117*s[4])/4 + (284*s[5])/11 + (1781*s[6])/44 + 
       (42611*s[7])/88 - (5059*s[8])/132 - (1208*s[9])/3 - (857*s[10])/6 - 
       (47153*s[11])/88 - (25769*s[12])/44 - (29445*s[13])/88 - 
       (5131*s[14])/88 - (16507*s[15])/24 - (37903*s[16])/44 - 
       (60323*s[17])/88 - (1319*s[18])/18 - (4151*s[19])/36 - 
       (398267*s[20])/396 - (274441*s[21])/792 + (199997*s[22])/792 + 
       (5156*s[23])/11 + (59986*s[24])/99 - (2441237*s[25])/3564 + 
       (1295105*s[26])/3564 + (5*s[36])/2 - (55*s[37])/4 - (7*s[38])/2 - 
       (269*s[39])/8 + (441*s[40])/8 - (375*s[41])/8 + (467*s[42])/8 + 
       (4179*s[43])/88 - (13397*s[44])/176 + (6167*s[45])/88 - 
       (23327*s[46])/44 - (4309*s[47])/176 + (15029*s[48])/176 - 
       (50521*s[49])/176 + (5002*s[50])/11 + (4841*s[51])/176 + 
       (813*s[52])/176 - (21073*s[53])/66 - (2087*s[54])/44 - 
       (1107919*s[55])/528 - (266989*s[56])/528 - (27191*s[57])/99 - 
       (2876993*s[58])/4752 + (3145913*s[59])/4752 + (5076925*s[60])/1056 - 
       (2995493*s[61])/10692 - 3*s[68] + 3*s[69] + (3*s[71])/2 + 6*s[76] - 
       3*s[77] - 3*s[78] + 6*s[79] - (37*s[80])/2 + 114*s[82] + 12*s[85]) + 
     HPL[{0, 1, 1, 1}, 1 - u]*Phi6[u, v, w]*((117*s[4])/4 + (513*s[5])/22 + 
       (1143*s[6])/44 + (44943*s[7])/88 - (17311*s[8])/396 - (7669*s[9])/18 - 
       (1417*s[10])/9 - (146959*s[11])/264 - (79177*s[12])/132 - 
       (90667*s[13])/264 - (11257*s[14])/264 - (5921*s[15])/8 - 
       (118241*s[16])/132 - (189373*s[17])/264 - (1606*s[18])/27 - 
       (14225*s[19])/108 - (1237547*s[20])/1188 - (811531*s[21])/2376 + 
       (643727*s[22])/2376 + (15853*s[23])/33 + (192487*s[24])/297 - 
       (1922852*s[25])/2673 + (1945831*s[26])/5346 + s[36] - (3*s[37])/4 + 
       (3*s[38])/2 - (81*s[39])/2 + (97*s[40])/2 - (129*s[41])/4 + 
       (275*s[42])/4 + (531*s[43])/22 - (526*s[44])/11 - (51*s[45])/88 - 
       (15727*s[46])/88 + (3163*s[47])/132 - (1985*s[48])/132 - 
       (18619*s[49])/132 + (1532*s[50])/11 + (820*s[51])/33 + 
       (962*s[52])/33 - (6395*s[53])/88 - (69*s[54])/44 - (50647*s[55])/132 - 
       (3965*s[56])/33 + (244427*s[57])/396 - (904289*s[58])/2376 + 
       (205253*s[59])/594 + (2172737*s[60])/1584 - (2484535*s[61])/42768 + 
       (3*s[71])/2 + 12*s[79] - (21*s[80])/2 + 114*s[82] + 12*s[85]) + 
     F1[u, v, w]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*((-7*s[2])/2 - 20*s[3] - 
       (251*s[4])/4 - (1035*s[5])/11 - (6991*s[6])/44 - (270701*s[7])/198 + 
       (27563*s[8])/297 + (124579*s[9])/108 + (20947*s[10])/54 + 
       (1169351*s[11])/792 + (610001*s[12])/396 + (80631*s[13])/88 + 
       (192461*s[14])/792 + (23329*s[15])/12 + (625139*s[16])/264 + 
       (1583779*s[17])/792 + (21743*s[18])/81 + (17980*s[19])/81 + 
       (2482615*s[20])/891 + (7830341*s[21])/7128 - (5014081*s[22])/7128 - 
       (126479*s[23])/88 - (10773259*s[24])/7128 + (116738471*s[25])/64152 - 
       (69151529*s[26])/64152 - 2*s[31] - s[32]/2 - (5*s[33])/4 + 4*s[34] + 
       s[35] + (31*s[36])/3 - (13*s[37])/6 - (99*s[38])/2 + 182*s[39] - 
       (541*s[40])/3 + (543*s[41])/4 - (3017*s[42])/12 - (4964*s[43])/33 + 
       (39007*s[44])/264 - (5963*s[45])/33 + (88961*s[46])/66 - 
       (60491*s[47])/792 + (20953*s[48])/792 + (561941*s[49])/792 - 
       (134873*s[50])/132 - (124297*s[51])/792 - (107539*s[52])/792 + 
       (300323*s[53])/396 + (3823*s[54])/132 + (1237669*s[55])/264 + 
       (297265*s[56])/264 - (34310*s[57])/33 + (4866661*s[58])/2376 - 
       (5148403*s[59])/2376 - (51429995*s[60])/4752 + (1558138*s[61])/2673 + 
       s[65]/2 + s[66] - 2*s[67] - 3*s[68] - 3*s[69] - s[70] - s[71]/2 - 
       2*s[72] + 2*s[73] + (3*s[74])/2 - (3*s[75])/2 + 3*s[76] + s[77] - 
       4*s[78] + 22*s[79] - (40*s[80])/3 + 86*s[82] + 12*s[84] + 22*s[85]) + 
     F1[v, w, u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*((7*s[2])/2 + 24*s[3] + 
       (257*s[4])/4 + (3145*s[5])/44 + (1816*s[6])/11 + (440681*s[7])/396 - 
       (98651*s[8])/1188 - (25045*s[9])/27 - (27215*s[10])/108 - 
       (988043*s[11])/792 - (136271*s[12])/99 - (655837*s[13])/792 - 
       (140807*s[14])/792 - (51163*s[15])/36 - (1479661*s[16])/792 - 
       (125569*s[17])/88 - (88751*s[18])/324 - (7822*s[19])/81 - 
       (1975954*s[20])/891 - (6279509*s[21])/7128 + (4063591*s[22])/7128 + 
       (1214879*s[23])/792 + (7875763*s[24])/7128 - (12461782*s[25])/8019 + 
       (29239117*s[26])/32076 + 2*s[31] - s[32]/2 + (5*s[33])/4 - 4*s[34] - 
       2*s[35] - (15*s[36])/4 + 6*s[37] + (313*s[38])/4 - (5221*s[39])/16 + 
       (5697*s[40])/16 - (4339*s[41])/16 + (7431*s[42])/16 + 
       (48251*s[43])/176 - (104813*s[44])/352 + (32559*s[45])/88 - 
       (477935*s[46])/176 + (137983*s[47])/1056 + (57661*s[48])/1056 - 
       (1349125*s[49])/1056 + (22156*s[50])/11 + (110963*s[51])/352 + 
       (275015*s[52])/1056 - (31171*s[53])/22 + (1935*s[54])/22 - 
       (3163279*s[55])/352 - (2697743*s[56])/1056 + (2060819*s[57])/792 - 
       (41094745*s[58])/9504 + (40440571*s[59])/9504 + 
       (137084755*s[60])/6336 - (110502613*s[61])/85536 - s[65]/2 - 2*s[66] + 
       2*s[67] + 2*s[68] + 4*s[69] + s[70] + s[71]/2 + 2*s[72] - 
       (5*s[73])/2 - 2*s[74] + 2*s[75] - s[76] + 2*s[77] + (15*s[78])/2 + 
       5*s[79] - (15*s[80])/2 + 86*s[82] + 12*s[84] + 22*s[85]) + 
     F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      ((9*s[2])/4 + (191*s[3])/8 + (4117*s[4])/16 + (7209*s[5])/44 + 
       (80775*s[6])/176 + (12855545*s[7])/3168 - (1578133*s[8])/4752 - 
       (734389*s[9])/216 - (233435*s[10])/216 - (14145379*s[11])/3168 - 
       (969989*s[12])/198 - (9274433*s[13])/3168 - (1652671*s[14])/3168 - 
       (1545499*s[15])/288 - (5420915*s[16])/792 - (5545579*s[17])/1056 - 
       (484547*s[18])/648 - (801767*s[19])/1296 - (115387595*s[20])/14256 - 
       (82286641*s[21])/28512 + (60530549*s[22])/28512 + 
       (1860011*s[23])/396 + (31754747*s[24])/7128 - (365405989*s[25])/
        64152 + (198933313*s[26])/64152 + s[30]/2 - s[32]/2 + (3*s[33])/4 + 
       s[34]/2 + s[35]/2 + s[36]/6 + (83*s[37])/12 + 129*s[38] - 
       (2063*s[39])/4 + (7123*s[40])/12 - (1865*s[41])/4 + (4405*s[42])/6 + 
       (64355*s[43])/132 - (269279*s[44])/528 + (162763*s[45])/264 - 
       (1204283*s[46])/264 + (227203*s[47])/1584 + (268255*s[48])/1584 - 
       (3496465*s[49])/1584 + (115607*s[50])/33 + (821219*s[51])/1584 + 
       (651395*s[52])/1584 - (957269*s[53])/396 + (11663*s[54])/132 - 
       (8199473*s[55])/528 - (2211373*s[56])/528 + (2685781*s[57])/792 - 
       (3670297*s[58])/528 + (11020729*s[59])/1584 + (358742449*s[60])/9504 - 
       (88612103*s[61])/42768 + s[66] - s[69] + 3*s[70] - s[71]/2 + s[72] - 
       s[73] - (5*s[74])/4 + (5*s[75])/4 - 3*s[76] - (7*s[77])/2 - 2*s[78] + 
       58*s[79] - (121*s[80])/6 + 114*s[82] - (3*s[83])/2 + 21*s[84] + 
       36*s[85]) + F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      (s[2]/2 + (97*s[3])/4 + (417*s[4])/2 + (10689*s[5])/88 + 
       (31769*s[6])/88 + (4987801*s[7])/1584 - (648085*s[8])/2376 - 
       (284023*s[9])/108 - (178891*s[10])/216 - (5466805*s[11])/1584 - 
       (375770*s[12])/99 - (396783*s[13])/176 - (629551*s[14])/1584 - 
       (200341*s[15])/48 - (175546*s[16])/33 - (6453863*s[17])/1584 - 
       (96901*s[18])/162 - (293573*s[19])/648 - (44832185*s[20])/7128 - 
       (31879159*s[21])/14256 + (23348117*s[22])/14256 + (334357*s[23])/88 + 
       (24276265*s[24])/7128 - (283007189*s[25])/64152 + 
       (154314299*s[26])/64152 - s[30]/2 - s[31] + (7*s[32])/2 - 
       (5*s[33])/8 + (7*s[34])/2 + s[35] + (5*s[36])/2 + (89*s[37])/12 + 
       91*s[38] - (3099*s[39])/8 + (3599*s[40])/8 - (2855*s[41])/8 + 
       (4527*s[42])/8 + (30229*s[43])/88 - (65231*s[44])/176 + 
       (121309*s[45])/264 - (223669*s[46])/66 + (24241*s[47])/176 + 
       (10975*s[48])/176 - (271075*s[49])/176 + (114291*s[50])/44 + 
       (217445*s[51])/528 + (57047*s[52])/176 - (711751*s[53])/396 + 
       (7745*s[54])/66 - (6118289*s[55])/528 - (5090237*s[56])/1584 + 
       (3482819*s[57])/1188 - (75722653*s[58])/14256 + 
       (75001429*s[59])/14256 + (87444985*s[60])/3168 - 
       (101147615*s[61])/64152 + s[65]/2 + 2*s[66] - 2*s[67] + 3*s[68] - 
       6*s[69] + s[70] - s[71]/2 + 4*s[73] - s[74] + s[75] - 2*s[76] - 
       s[77] - 2*s[78] + 54*s[79] - (115*s[80])/6 + 114*s[82] - (3*s[83])/2 + 
       21*s[84] + 36*s[85]) + F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      ((9*s[2])/4 - (27*s[3])/8 + (3539*s[4])/16 + (14183*s[5])/88 + 
       (72139*s[6])/176 + (12107507*s[7])/3168 - (1398461*s[8])/4752 - 
       (174647*s[9])/54 - (28943*s[10])/27 - (13221497*s[11])/3168 - 
       (3582289*s[12])/792 - (2844397*s[13])/1056 - (1819025*s[14])/3168 - 
       (493303*s[15])/96 - (142713*s[16])/22 - (16140463*s[17])/3168 - 
       (216695*s[18])/324 - (805741*s[19])/1296 - (110084185*s[20])/14256 - 
       (78791123*s[21])/28512 + (57455971*s[22])/28512 + 
       (1065467*s[23])/264 + (15158435*s[24])/3564 - (677983903*s[25])/
        128304 + (372250303*s[26])/128304 - (3*s[30])/2 + s[32]/2 + 
       (3*s[33])/4 + s[34]/2 + s[35]/2 - (53*s[36])/6 + (73*s[37])/12 + 
       112*s[38] - (923*s[39])/2 + (1609*s[40])/3 - (869*s[41])/2 + 
       (7937*s[42])/12 + (29899*s[43])/66 - (251585*s[44])/528 + 
       (151805*s[45])/264 - (376097*s[46])/88 + (164161*s[47])/1584 + 
       (286393*s[48])/1584 - (3296515*s[49])/1584 + (110738*s[50])/33 + 
       (744149*s[51])/1584 + (557657*s[52])/1584 - (101903*s[53])/44 - 
       (1797*s[54])/44 - (7854247*s[55])/528 - (6135053*s[56])/1584 + 
       (6078337*s[57])/2376 - (89997289*s[58])/14256 + 
       (91195639*s[59])/14256 + (340689859*s[60])/9504 - 
       (246482173*s[61])/128304 + s[66] - s[68] - s[69] + 4*s[70] - s[71]/2 + 
       s[72] - 3*s[73] - (9*s[74])/4 + (9*s[75])/4 - 3*s[76] - (11*s[77])/2 - 
       2*s[78] + 60*s[79] - (95*s[80])/6 + 114*s[82] + (3*s[83])/2 + 
       27*s[84] + 36*s[85]) + F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      (4*s[2] + 16*s[3] + (1689*s[4])/8 + (3247*s[5])/22 + (34387*s[6])/88 + 
       (2780027*s[7])/792 - (677015*s[8])/2376 - (637195*s[9])/216 - 
       (104497*s[10])/108 - (3037195*s[11])/792 - (3294041*s[12])/792 - 
       (981067*s[13])/396 - (397435*s[14])/792 - (170129*s[15])/36 - 
       (591472*s[16])/99 - (155017*s[17])/33 - (411515*s[18])/648 - 
       (88879*s[19])/162 - (12580783*s[20])/1782 - (18042169*s[21])/7128 + 
       (13110455*s[22])/7128 + (3079591*s[23])/792 + (27494249*s[24])/7128 - 
       (623871551*s[25])/128304 + (342207407*s[26])/128304 + s[30]/2 + 
       s[31] + s[32]/2 + (11*s[33])/8 - s[34]/2 - (59*s[36])/6 + 
       (71*s[37])/12 + (195*s[38])/2 - (3383*s[39])/8 + (11537*s[40])/24 - 
       (3085*s[41])/8 + (14839*s[42])/24 + (97387*s[43])/264 - 
       (214559*s[44])/528 + (125845*s[45])/264 - (239621*s[46])/66 + 
       (231811*s[47])/1584 + (81793*s[48])/1584 - (2711161*s[49])/1584 + 
       (186661*s[50])/66 + (708773*s[51])/1584 + (532577*s[52])/1584 - 
       (194090*s[53])/99 + (4289*s[54])/132 - (6606583*s[55])/528 - 
       (1770685*s[56])/528 + (575719*s[57])/198 - (2948237*s[58])/528 + 
       (8874835*s[59])/1584 + (282557125*s[60])/9504 - 
       (35599141*s[61])/21384 + s[66] + 3*s[68] - 3*s[69] + 3*s[70] + 
       2*s[72] - 2*s[73] - (5*s[74])/2 + (5*s[75])/2 - s[76] - 2*s[77] + 
       2*s[78] + 48*s[79] - (85*s[80])/6 + 114*s[82] + (3*s[83])/2 + 
       27*s[84] + 36*s[85]) + HPL[{0, 0, 1, 1}, 1 - u]*Phi6[u, v, w]*
      (11*s[2] - 7*s[3] + 264*s[4] + (3188*s[5])/11 + (7587*s[6])/11 + 
       (584219*s[7])/99 - (129311*s[8])/297 - (135679*s[9])/27 - 
       (93403*s[10])/54 - (632215*s[11])/99 - (1351783*s[12])/198 - 
       (794971*s[13])/198 - (254609*s[14])/198 - (71626*s[15])/9 - 
       (1001381*s[16])/99 - (89896*s[17])/11 - (93005*s[18])/81 - 
       (130487*s[19])/162 - (21932525*s[20])/1782 - (8200763*s[21])/1782 + 
       (2767934*s[22])/891 + (576010*s[23])/99 + (11676565*s[24])/1782 - 
       (63005725*s[25])/8019 + (73065467*s[26])/16038 - 2*s[30] - 
       (13*s[33])/2 + 8*s[34] - 6*s[35] - (8*s[36])/3 + (32*s[37])/3 + 
       148*s[38] - 647*s[39] + (2285*s[40])/3 - 611*s[41] + (2854*s[42])/3 + 
       (19771*s[43])/33 - (42365*s[44])/66 + (54757*s[45])/66 - 
       (132355*s[46])/22 + (79205*s[47])/396 + (57953*s[48])/396 - 
       (1066619*s[49])/396 + (308489*s[50])/66 + (272017*s[51])/396 + 
       (105095*s[52])/198 - (107585*s[53])/33 + (1136*s[54])/11 - 
       (2782889*s[55])/132 - (2273185*s[56])/396 + (1289707*s[57])/297 - 
       (32781083*s[58])/3564 + (32881379*s[59])/3564 + 
       (117899603*s[60])/2376 - (90217793*s[61])/32076 + s[65] + 2*s[66] - 
       4*s[67] - 8*s[69] + 2*s[70] - s[71] + 8*s[73] - 2*s[74] + 2*s[75] - 
       2*s[76] + 2*s[77] - 4*s[78] + 96*s[79] - (80*s[80])/3 + 228*s[82] - 
       3*s[83] + 42*s[84] + 72*s[85]) + HPL[{0, 0, 1, 1}, 1 - v]*
      Phi6[u, v, w]*(11*s[2] + (61*s[3])/2 + (1365*s[4])/4 + (1311*s[5])/4 + 
       806*s[6] + (501983*s[7])/72 - (13364*s[8])/27 - (635711*s[9])/108 - 
       (223195*s[10])/108 - (547877*s[11])/72 - (293933*s[12])/36 - 
       (38897*s[13])/8 - (96695*s[14])/72 - (75037*s[15])/8 - 
       (143029*s[16])/12 - (687529*s[17])/72 - (411163*s[18])/324 - 
       (372227*s[19])/324 - (4642183*s[20])/324 - (3407519*s[21])/648 + 
       (2365873*s[22])/648 + (26293*s[23])/4 + (2565353*s[24])/324 - 
       (55241879*s[25])/5832 + (31216163*s[26])/5832 - (13*s[33])/2 + 
       4*s[34] - 6*s[35] + (4*s[36])/3 + (49*s[37])/6 + 215*s[38] - 
       (1551*s[39])/2 + (5353*s[40])/6 - 705*s[41] + (3166*s[42])/3 + 
       (55511*s[43])/66 - (107563*s[44])/132 + (151631*s[45])/132 - 
       (347469*s[46])/44 + (43361*s[47])/396 + (194963*s[48])/396 - 
       (1496327*s[49])/396 + (201844*s[50])/33 + (286249*s[51])/396 + 
       (232489*s[52])/396 - (560347*s[53])/132 - (1187*s[54])/22 - 
       (1211829*s[55])/44 - (2861335*s[56])/396 + (2024807*s[57])/594 - 
       (20276107*s[58])/1782 + (40910117*s[59])/3564 + 
       (79442965*s[60])/1188 - (234530023*s[61])/64152 + 8*s[70] - 2*s[71] - 
       4*s[76] - 4*s[77] - 2*s[78] + 64*s[79] - (53*s[80])/3 + 228*s[82] - 
       3*s[83] + 42*s[84] + 72*s[85]) + F1[v, w, u]*HPL[{0, 1, 1}, 1 - u]*
      ((9*s[2])/2 + (43*s[3])/2 + 612*s[4] + (4459*s[5])/11 + 
       (23453*s[6])/22 + (7851403*s[7])/792 - (78811*s[8])/99 - 
       (75242*s[9])/9 - (48233*s[10])/18 - (1441441*s[11])/132 - 
       (789911*s[12])/66 - (2847379*s[13])/396 - (163423*s[14])/132 - 
       (946081*s[15])/72 - (13259453*s[16])/792 - (5080205*s[17])/396 - 
       (188645*s[18])/108 - (42907*s[19])/27 - (23469385*s[20])/1188 - 
       (1395107*s[21])/198 + (3103091*s[22])/594 + (8744893*s[23])/792 + 
       (26130917*s[24])/2376 - (12410312*s[25])/891 + (26945813*s[26])/3564 + 
       s[30] + (3*s[32])/2 + (3*s[33])/2 + s[34] - 5*s[35] - (26*s[36])/3 + 
       (55*s[37])/2 + 331*s[38] - (5229*s[39])/4 + (17975*s[40])/12 - 
       (4743*s[41])/4 + (22339*s[42])/12 + (14699*s[43])/12 - 
       (7801*s[44])/6 + (5825*s[45])/4 - (66727*s[46])/6 + (12529*s[47])/36 + 
       (3547*s[48])/9 - (202891*s[49])/36 + (25928*s[50])/3 + 
       (11669*s[51])/9 + (36503*s[52])/36 - (212575*s[53])/36 - 
       (86*s[54])/3 - (113575*s[55])/3 - (357055*s[56])/36 + 
       (913585*s[57])/108 - (2741281*s[58])/162 + (2765761*s[59])/162 + 
       (10007843*s[60])/108 - (14261585*s[61])/2916 + 6*s[70] - s[71] + 
       2*s[72] - (9*s[74])/2 + (9*s[75])/2 - 2*s[76] - 5*s[77] + 154*s[79] - 
       51*s[80] + 252*s[82] + (3*s[83])/2 + 51*s[84] + 72*s[85]) + 
     F1[u, v, w]*HPL[{0, 1, 1}, 1 - v]*((23*s[2])/2 + (293*s[3])/4 + 
       (5195*s[4])/8 + (10315*s[5])/22 + (105901*s[6])/88 + 
       (16717985*s[7])/1584 - (679867*s[8])/792 - (318697*s[9])/36 - 
       (101003*s[10])/36 - (2044751*s[11])/176 - (837871*s[12])/66 - 
       (12065389*s[13])/1584 - (240583*s[14])/176 - (2023283*s[15])/144 - 
       (7081909*s[16])/396 - (21894293*s[17])/1584 - (23681*s[18])/12 - 
       (114109*s[19])/72 - (5557261*s[20])/264 - (36348827*s[21])/4752 + 
       (26207351*s[22])/4752 + (1217864*s[23])/99 + (6853393*s[24])/594 - 
       (157935065*s[25])/10692 + (87035675*s[26])/10692 - 3*s[30] + 4*s[31] + 
       3*s[32] + (5*s[33])/2 - 5*s[34] - 7*s[35] - 23*s[36] + (205*s[37])/6 + 
       (703*s[38])/2 - (5613*s[39])/4 + (6265*s[40])/4 - 1208*s[41] + 
       2011*s[42] + (4865*s[43])/4 - (2613*s[44])/2 + (8603*s[45])/6 - 
       (133105*s[46])/12 + (2971*s[47])/6 + (1913*s[48])/12 - 
       (16751*s[49])/3 + (33845*s[50])/4 + (8351*s[51])/6 + 
       (13423*s[52])/12 - (52739*s[53])/9 + (2099*s[54])/12 - 
       (447227*s[55])/12 - (180023*s[56])/18 + (284275*s[57])/27 - 
       (5674607*s[58])/324 + (5714027*s[59])/324 + (3255023*s[60])/36 - 
       (28695181*s[61])/5832 - s[65]/2 + 2*s[67] + 4*s[68] + 7*s[70] + 
       s[71]/2 + 6*s[72] - 4*s[73] - (13*s[74])/2 + (13*s[75])/2 - 6*s[76] - 
       7*s[77] + 6*s[78] + 106*s[79] - (95*s[80])/3 + 252*s[82] + 
       (3*s[83])/2 + 51*s[84] + 72*s[85]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*Phi6[u, v, w]*((39*s[2])/4 + (265*s[3])/8 + 
       (8641*s[4])/16 + (39441*s[5])/88 + (197325*s[6])/176 + 
       (31187719*s[7])/3168 - (3583379*s[8])/4752 - (1794371*s[9])/216 - 
       (299045*s[10])/108 - (33938321*s[11])/3168 - (9153391*s[12])/792 - 
       (21712399*s[13])/3168 - (5348765*s[14])/3168 - (3820349*s[15])/288 - 
       (6641003*s[16])/396 - (4687635*s[17])/352 - (1204741*s[18])/648 - 
       (1899553*s[19])/1296 - (285702145*s[20])/14256 - 
       (208538831*s[21])/28512 + (147037447*s[22])/28512 + 
       (8283653*s[23])/792 + (38675657*s[24])/3564 - (862797149*s[25])/
        64152 + (483907949*s[26])/64152 + s[31] - (5*s[33])/8 + 2*s[34] - 
       (7*s[35])/2 - 13*s[36] + (35*s[37])/3 + 275*s[38] - (9159*s[39])/8 + 
       (10575*s[40])/8 - (8467*s[41])/8 + (13141*s[42])/8 + 
       (97961*s[43])/88 - (51025*s[44])/44 + (99799*s[45])/66 - 
       (2874565*s[46])/264 + (74465*s[47])/264 + (57841*s[48])/132 - 
       (1336595*s[49])/264 + (185771*s[50])/22 + (76049*s[51])/66 + 
       (237433*s[52])/264 - (2338873*s[53])/396 + (17293*s[54])/132 - 
       (2509747*s[55])/66 - (8040367*s[56])/792 + (15157471*s[57])/2376 - 
       (115028657*s[58])/7128 + (14510224*s[59])/891 + 
       (143174221*s[60])/1584 - (649886773*s[61])/128304 + 5*s[70] - 
       (3*s[71])/2 + 3*s[72] + s[73] - (19*s[74])/4 + (19*s[75])/4 - 
       3*s[76] - (7*s[77])/2 + 122*s[79] - (113*s[80])/3 + 282*s[82] + 
       60*s[84] + 84*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      Phi6[u, v, w]*((53*s[2])/4 + (267*s[3])/8 + (8271*s[4])/16 + 
       (4740*s[5])/11 + (191717*s[6])/176 + (29951329*s[7])/3168 - 
       (396823*s[8])/528 - (31923*s[9])/4 - (63365*s[10])/24 - 
       (10834393*s[11])/1056 - (243165*s[12])/22 - (20739089*s[13])/3168 - 
       (1726249*s[14])/1056 - (3679831*s[15])/288 - (6384799*s[16])/396 - 
       (40640197*s[17])/3168 - (196735*s[18])/108 - (572033*s[19])/432 - 
       (91553501*s[20])/4752 - (67123079*s[21])/9504 + 
       (15686705*s[22])/3168 + (8181505*s[23])/792 + (226681*s[24])/22 - 
       (550406569*s[25])/42768 + (310294093*s[26])/42768 + s[30] + 3*s[31] - 
       (3*s[32])/2 + (5*s[33])/8 - (9*s[35])/2 - 18*s[36] + (265*s[37])/12 + 
       249*s[38] - (8767*s[39])/8 + (10047*s[40])/8 - (7971*s[41])/8 + 
       (12885*s[42])/8 + (86441*s[43])/88 - (92605*s[44])/88 + 
       (345095*s[45])/264 - (1280953*s[46])/132 + (97243*s[47])/264 + 
       (11713*s[48])/66 - (1171069*s[49])/264 + (82300*s[50])/11 + 
       (150233*s[51])/132 + (58979*s[52])/66 - (4156117*s[53])/792 + 
       (35987*s[54])/132 - (4430039*s[55])/132 - (7264067*s[56])/792 + 
       (18043085*s[57])/2376 - (53248601*s[58])/3564 + 
       (53448401*s[59])/3564 + (62741545*s[60])/792 - 
       (289295965*s[61])/64152 + 5*s[68] - 3*s[69] + 3*s[70] - s[71]/2 + 
       5*s[72] + 3*s[73] - (21*s[74])/4 + (21*s[75])/4 - 7*s[76] - 
       (3*s[77])/2 + 5*s[78] + 126*s[79] - (203*s[80])/6 + 282*s[82] + 
       60*s[84] + 84*s[85]) + C27[w, u, v]*((3*s[2])/2 - (105*s[3])/4 - 
       (2139*s[4])/8 - (2935*s[5])/44 - (26735*s[6])/88 - 
       (4360711*s[7])/1584 + (854129*s[8])/2376 + (59156*s[9])/27 + 
       (14194*s[10])/27 + (4982333*s[11])/1584 + (366823*s[12])/99 + 
       (3570151*s[13])/1584 - (390967*s[14])/1584 + (479969*s[15])/144 + 
       (1787221*s[16])/396 + (1566745*s[17])/528 + (78017*s[18])/162 + 
       (261625*s[19])/648 + (34571041*s[20])/7128 + (22502819*s[21])/14256 - 
       (20155195*s[22])/14256 - (1827425*s[23])/396 - (2484046*s[24])/891 + 
       (276203833*s[25])/64152 - (134339713*s[26])/64152 + 6*s[29] - 
       3*s[30] + 2*s[31] + 2*s[32] + s[34] + 3*s[35] + (67*s[36])/3 - 
       (107*s[37])/6 - 137*s[38] + (1161*s[39])/2 - (3689*s[40])/6 + 
       462*s[41] - (5077*s[42])/6 - (28801*s[43])/66 + (129157*s[44])/264 - 
       (56575*s[45])/132 + (165401*s[46])/44 - (216503*s[47])/792 + 
       (77989*s[48])/792 + (1630445*s[49])/792 - (92414*s[50])/33 - 
       (437419*s[51])/792 - (368353*s[52])/792 + (43267*s[53])/22 - 
       (1097*s[54])/11 + (3174217*s[55])/264 + (2550379*s[56])/792 - 
       (6072689*s[57])/1188 + (44853887*s[58])/7128 - (45375005*s[59])/7128 - 
       (139507517*s[60])/4752 + (101890997*s[61])/64152 + 2*s[65] + 4*s[66] - 
       6*s[67] - 4*s[68] - 10*s[69] - 2*s[71] - 6*s[72] + 6*s[73] + 
       (9*s[74])/2 - (9*s[75])/2 + 6*s[76] + 3*s[77] - 14*s[78] - 4*s[79] + 
       (7*s[80])/3 + 6*s[86]) + F1[w, u, v]*HPL[{1}, 1 - u]*
      (21*s[2] - (23*s[3])/2 + (1405*s[4])/4 + (5212*s[5])/11 + 
       (39775*s[6])/44 + (2031053*s[7])/264 - (659705*s[8])/1188 - 
       (178726*s[9])/27 - (108595*s[10])/54 - (6664325*s[11])/792 - 
       (1790551*s[12])/198 - (4280291*s[13])/792 - (1091729*s[14])/792 - 
       (742081*s[15])/72 - (2576885*s[16])/198 - (8205155*s[17])/792 - 
       (128768*s[18])/81 - (294853*s[19])/324 - (55690369*s[20])/3564 - 
       (43431263*s[21])/7128 + (28991203*s[22])/7128 + (1746229*s[23])/198 + 
       (7211264*s[24])/891 - (333157393*s[25])/32076 + 
       (195310009*s[26])/32076 + 10*s[31] - 4*s[32] + (17*s[33])/2 - 
       22*s[34] - 6*s[35] - 35*s[36] + 32*s[37] + 266*s[38] - 
       (4761*s[39])/4 + (5125*s[40])/4 - (3965*s[41])/4 + (7013*s[42])/4 + 
       (39959*s[43])/44 - (91791*s[44])/88 + (10105*s[45])/11 - 
       (353893*s[46])/44 + (139439*s[47])/264 - (38035*s[48])/264 - 
       (1141061*s[49])/264 + (67098*s[50])/11 + (307253*s[51])/264 + 
       (245497*s[52])/264 - (564395*s[53])/132 + (1898*s[54])/11 - 
       (6951149*s[55])/264 - (614797*s[56])/88 + (328580*s[57])/33 - 
       (3488489*s[58])/264 + (3542911*s[59])/264 + (100886243*s[60])/1584 - 
       (24377473*s[61])/7128 - 2*s[65] - 8*s[66] + 12*s[67] + 4*s[68] + 
       22*s[69] + 2*s[71] + 12*s[72] - 12*s[73] - 9*s[74] + 9*s[75] - 
       4*s[76] - 8*s[77] + 26*s[78] + 48*s[79] - 16*s[80])*\[Zeta][2] + 
     F1[u, v, w]*HPL[{1}, 1 - w]*(21*s[2] + s[3]/2 + (1405*s[4])/4 + 
       (10105*s[5])/22 + (39005*s[6])/44 + (1975261*s[7])/264 - 
       (647627*s[8])/1188 - (346589*s[9])/54 - (52412*s[10])/27 - 
       (6496421*s[11])/792 - (874931*s[12])/99 - (4189871*s[13])/792 - 
       (1024805*s[14])/792 - (719941*s[15])/72 - (1252588*s[16])/99 - 
       (7948679*s[17])/792 - (248833*s[18])/162 - (293521*s[19])/324 - 
       (53972917*s[20])/3564 - (41929631*s[21])/7128 + 
       (28149703*s[22])/7128 + (853925*s[23])/99 + (14058307*s[24])/1782 - 
       (81418174*s[25])/8019 + (47432122*s[26])/8019 + 10*s[31] - 4*s[32] + 
       (17*s[33])/2 - 22*s[34] - 6*s[35] - 36*s[36] + 39*s[37] + 274*s[38] - 
       (2325*s[39])/2 + (2473*s[40])/2 - (1877*s[41])/2 + (3395*s[42])/2 + 
       (19087*s[43])/22 - (21671*s[44])/22 + (18983*s[45])/22 - 
       (83377*s[46])/11 + (36049*s[47])/66 - (6214*s[48])/33 - 
       (270991*s[49])/66 + (62416*s[50])/11 + (37063*s[51])/33 + 
       (30598*s[52])/33 - (261769*s[53])/66 + (2381*s[54])/11 - 
       (803237*s[55])/33 - (432127*s[56])/66 + (2029033*s[57])/198 - 
       (3773254*s[58])/297 + (3806995*s[59])/297 + (5891845*s[60])/99 - 
       (8520610*s[61])/2673 - 2*s[65] - 8*s[66] + 12*s[67] + 6*s[68] + 
       20*s[69] + 2*s[71] + 12*s[72] - 12*s[73] - 9*s[74] + 9*s[75] - 
       8*s[76] - 6*s[77] + 28*s[78] + 32*s[79] - 6*s[80])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Phi6[u, v, w]*(21*s[2] + s[3]/2 + 
       (1405*s[4])/4 + (10105*s[5])/22 + (39005*s[6])/44 + 
       (1975261*s[7])/264 - (647627*s[8])/1188 - (346589*s[9])/54 - 
       (52412*s[10])/27 - (6496421*s[11])/792 - (874931*s[12])/99 - 
       (4189871*s[13])/792 - (1024805*s[14])/792 - (719941*s[15])/72 - 
       (1252588*s[16])/99 - (7948679*s[17])/792 - (248833*s[18])/162 - 
       (293521*s[19])/324 - (53972917*s[20])/3564 - (41929631*s[21])/7128 + 
       (28149703*s[22])/7128 + (853925*s[23])/99 + (14058307*s[24])/1782 - 
       (81418174*s[25])/8019 + (47432122*s[26])/8019 + 10*s[31] - 4*s[32] + 
       (17*s[33])/2 - 22*s[34] - 6*s[35] - 36*s[36] + 39*s[37] + 274*s[38] - 
       (2325*s[39])/2 + (2473*s[40])/2 - (1877*s[41])/2 + (3395*s[42])/2 + 
       (19087*s[43])/22 - (21671*s[44])/22 + (18983*s[45])/22 - 
       (83377*s[46])/11 + (36049*s[47])/66 - (6214*s[48])/33 - 
       (270991*s[49])/66 + (62416*s[50])/11 + (37063*s[51])/33 + 
       (30598*s[52])/33 - (261769*s[53])/66 + (2381*s[54])/11 - 
       (803237*s[55])/33 - (432127*s[56])/66 + (2029033*s[57])/198 - 
       (3773254*s[58])/297 + (3806995*s[59])/297 + (5891845*s[60])/99 - 
       (8520610*s[61])/2673 - 2*s[65] - 8*s[66] + 12*s[67] + 6*s[68] + 
       20*s[69] + 2*s[71] + 12*s[72] - 12*s[73] - 9*s[74] + 9*s[75] - 
       8*s[76] - 6*s[77] + 28*s[78] + 32*s[79] - 6*s[80])*\[Zeta][2] + 
     K1[v, w, u]*(-5*s[2] + (111*s[3])/2 + (2209*s[4])/4 + (1454*s[5])/11 + 
       (26907*s[6])/44 + (4541993*s[7])/792 - (287675*s[8])/396 - 
       (82931*s[9])/18 - (20779*s[10])/18 - (1721017*s[11])/264 - 
       (502453*s[12])/66 - (3649213*s[13])/792 + (110015*s[14])/264 - 
       (510947*s[15])/72 - (937094*s[16])/99 - (5037305*s[17])/792 - 
       (53831*s[18])/54 - (93557*s[19])/108 - (12200009*s[20])/1188 - 
       (2657389*s[21])/792 + (7028707*s[22])/2376 + (927745*s[23])/99 + 
       (3491041*s[24])/594 - (15793175*s[25])/1782 + (7736411*s[26])/1782 - 
       12*s[29] + 6*s[30] - 2*s[31] + s[33] - 4*s[34] - 6*s[35] - 
       (104*s[36])/3 + (107*s[37])/3 + 262*s[38] - (2235*s[39])/2 + 
       (7117*s[40])/6 - (1803*s[41])/2 + (9803*s[42])/6 + (54851*s[43])/66 - 
       (31189*s[44])/33 + (54943*s[45])/66 - (80413*s[46])/11 + 
       (52577*s[47])/99 - (37439*s[48])/198 - (391415*s[49])/99 + 
       (180658*s[50])/33 + (214223*s[51])/198 + (176123*s[52])/198 - 
       (84351*s[53])/22 + (1997*s[54])/11 - (1550845*s[55])/66 - 
       (624064*s[56])/99 + (5827463*s[57])/594 - (21786187*s[58])/1782 + 
       (21984889*s[59])/1782 + (68081197*s[60])/1188 - 
       (24789779*s[61])/8019 - 2*s[65] - 8*s[66] + 12*s[67] + 10*s[68] + 
       20*s[69] + 2*s[71] + 12*s[72] - 12*s[73] - 9*s[74] + 9*s[75] - 
       4*s[76] - 6*s[77] + 28*s[78] + 24*s[79] - (14*s[80])/3)*\[Zeta][2] + 
     G[u, v, w]*(5*s[2] - (95*s[3])/2 - (2097*s[4])/4 - (1303*s[5])/11 - 
       (24439*s[6])/44 - (473585*s[7])/88 + (826117*s[8])/1188 + 
       (232987*s[9])/54 + (58883*s[10])/54 + (4842763*s[11])/792 + 
       (1414337*s[12])/198 + (3419989*s[13])/792 - (354725*s[14])/792 + 
       (481019*s[15])/72 + (880835*s[16])/99 + (4736881*s[17])/792 + 
       (148631*s[18])/162 + (272711*s[19])/324 + (34207739*s[20])/3564 + 
       (22157365*s[21])/7128 - (19784465*s[22])/7128 - (870250*s[23])/99 - 
       (9851333*s[24])/1782 + (66849569*s[25])/8019 - (32506829*s[26])/8019 + 
       12*s[29] - 6*s[30] + 2*s[31] + 4*s[32] - s[33] + 4*s[34] + 6*s[35] + 
       (112*s[36])/3 - (97*s[37])/3 - 246*s[38] + (2107*s[39])/2 - 
       (6677*s[40])/6 + (1699*s[41])/2 - (9247*s[42])/6 - (51571*s[43])/66 + 
       (29357*s[44])/33 - (51899*s[45])/66 + (76003*s[46])/11 - 
       (49573*s[47])/99 + (37639*s[48])/198 + (371029*s[49])/99 - 
       (171746*s[50])/33 - (201235*s[51])/198 - (164383*s[52])/198 + 
       (241253*s[53])/66 - (1053*s[54])/11 + (1475777*s[55])/66 + 
       (585326*s[56])/99 - (5361475*s[57])/594 + (20429291*s[58])/1782 - 
       (20708813*s[59])/1782 - (64458401*s[60])/1188 + 
       (23386477*s[61])/8019 + 2*s[65] + 8*s[66] - 12*s[67] - 10*s[68] - 
       20*s[69] - 2*s[71] - 12*s[72] + 12*s[73] + 9*s[74] - 9*s[75] + 
       4*s[76] + 6*s[77] - 28*s[78] - 16*s[79] - (2*s[80])/3)*\[Zeta][2] + 
     K1[w, u, v]*(21*s[2] - (15*s[3])/2 + (1293*s[4])/4 + (9803*s[5])/22 + 
       (36537*s[6])/44 + (5646055*s[7])/792 - (203573*s[8])/396 - 
       (110261*s[9])/18 - (16895*s[10])/9 - (686237*s[11])/88 - 
       (276140*s[12])/33 - (3960647*s[13])/792 - (111125*s[14])/88 - 
       (690013*s[15])/72 - (1196329*s[16])/99 - (7648255*s[17])/792 - 
       (26219*s[18])/18 - (31729*s[19])/36 - (5731181*s[20])/396 - 
       (13390165*s[21])/2376 + (8949349*s[22])/2376 + (796430*s[23])/99 + 
       (4478839*s[24])/594 - (51465637*s[25])/5346 + (30083401*s[26])/5346 + 
       10*s[31] - 8*s[32] + (17*s[33])/2 - 22*s[34] - 6*s[35] - 
       (116*s[36])/3 + (107*s[37])/3 + 258*s[38] - (2197*s[39])/2 + 
       (6979*s[40])/6 - (1773*s[41])/2 + (9629*s[42])/6 + (53981*s[43])/66 - 
       (61349*s[44])/66 + (53905*s[45])/66 - (78967*s[46])/11 + 
       (102139*s[47])/198 - (18742*s[48])/99 - (772201*s[49])/198 + 
       (178336*s[50])/33 + (104695*s[51])/99 + (85924*s[52])/99 - 
       (83323*s[53])/22 + (1437*s[54])/11 - (765703*s[55])/33 - 
       (1218905*s[56])/198 + (5621111*s[57])/594 - (10641314*s[58])/891 + 
       (10782947*s[59])/891 + (16769836*s[60])/297 - (24158528*s[61])/8019 - 
       2*s[65] - 8*s[66] + 12*s[67] + 6*s[68] + 20*s[69] + 2*s[71] + 
       12*s[72] - 12*s[73] - 9*s[74] + 9*s[75] - 8*s[76] - 6*s[77] + 
       28*s[78] + 24*s[79] - (2*s[80])/3)*\[Zeta][2] + 
     F1[v, w, u]*HPL[{1}, 1 - w]*(-21*s[2] + (15*s[3])/2 - (1293*s[4])/4 - 
       (9803*s[5])/22 - (36537*s[6])/44 - (5646055*s[7])/792 + 
       (203573*s[8])/396 + (110261*s[9])/18 + (16895*s[10])/9 + 
       (686237*s[11])/88 + (276140*s[12])/33 + (3960647*s[13])/792 + 
       (111125*s[14])/88 + (690013*s[15])/72 + (1196329*s[16])/99 + 
       (7648255*s[17])/792 + (26219*s[18])/18 + (31729*s[19])/36 + 
       (5731181*s[20])/396 + (13390165*s[21])/2376 - (8949349*s[22])/2376 - 
       (796430*s[23])/99 - (4478839*s[24])/594 + (51465637*s[25])/5346 - 
       (30083401*s[26])/5346 - 10*s[31] + 8*s[32] - (17*s[33])/2 + 22*s[34] + 
       6*s[35] + (116*s[36])/3 - (107*s[37])/3 - 258*s[38] + (2197*s[39])/2 - 
       (6979*s[40])/6 + (1773*s[41])/2 - (9629*s[42])/6 - (53981*s[43])/66 + 
       (61349*s[44])/66 - (53905*s[45])/66 + (78967*s[46])/11 - 
       (102139*s[47])/198 + (18742*s[48])/99 + (772201*s[49])/198 - 
       (178336*s[50])/33 - (104695*s[51])/99 - (85924*s[52])/99 + 
       (83323*s[53])/22 - (1437*s[54])/11 + (765703*s[55])/33 + 
       (1218905*s[56])/198 - (5621111*s[57])/594 + (10641314*s[58])/891 - 
       (10782947*s[59])/891 - (16769836*s[60])/297 + (24158528*s[61])/8019 + 
       2*s[65] + 8*s[66] - 12*s[67] - 6*s[68] - 20*s[69] - 2*s[71] - 
       12*s[72] + 12*s[73] + 9*s[74] - 9*s[75] + 8*s[76] + 6*s[77] - 
       28*s[78] - 24*s[79] + (2*s[80])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Phi6[u, v, w]*(-21*s[2] + (15*s[3])/2 - 
       (1293*s[4])/4 - (9803*s[5])/22 - (36537*s[6])/44 - 
       (5646055*s[7])/792 + (203573*s[8])/396 + (110261*s[9])/18 + 
       (16895*s[10])/9 + (686237*s[11])/88 + (276140*s[12])/33 + 
       (3960647*s[13])/792 + (111125*s[14])/88 + (690013*s[15])/72 + 
       (1196329*s[16])/99 + (7648255*s[17])/792 + (26219*s[18])/18 + 
       (31729*s[19])/36 + (5731181*s[20])/396 + (13390165*s[21])/2376 - 
       (8949349*s[22])/2376 - (796430*s[23])/99 - (4478839*s[24])/594 + 
       (51465637*s[25])/5346 - (30083401*s[26])/5346 - 10*s[31] + 8*s[32] - 
       (17*s[33])/2 + 22*s[34] + 6*s[35] + (116*s[36])/3 - (107*s[37])/3 - 
       258*s[38] + (2197*s[39])/2 - (6979*s[40])/6 + (1773*s[41])/2 - 
       (9629*s[42])/6 - (53981*s[43])/66 + (61349*s[44])/66 - 
       (53905*s[45])/66 + (78967*s[46])/11 - (102139*s[47])/198 + 
       (18742*s[48])/99 + (772201*s[49])/198 - (178336*s[50])/33 - 
       (104695*s[51])/99 - (85924*s[52])/99 + (83323*s[53])/22 - 
       (1437*s[54])/11 + (765703*s[55])/33 + (1218905*s[56])/198 - 
       (5621111*s[57])/594 + (10641314*s[58])/891 - (10782947*s[59])/891 - 
       (16769836*s[60])/297 + (24158528*s[61])/8019 + 2*s[65] + 8*s[66] - 
       12*s[67] - 6*s[68] - 20*s[69] - 2*s[71] - 12*s[72] + 12*s[73] + 
       9*s[74] - 9*s[75] + 8*s[76] + 6*s[77] - 28*s[78] - 24*s[79] + 
       (2*s[80])/3)*\[Zeta][2] + K1[u, v, w]*(-21*s[2] - s[3]/2 - 
       (1405*s[4])/4 - (10105*s[5])/22 - (39005*s[6])/44 - 
       (1975261*s[7])/264 + (647627*s[8])/1188 + (346589*s[9])/54 + 
       (52412*s[10])/27 + (6496421*s[11])/792 + (874931*s[12])/99 + 
       (4189871*s[13])/792 + (1024805*s[14])/792 + (719941*s[15])/72 + 
       (1252588*s[16])/99 + (7948679*s[17])/792 + (248833*s[18])/162 + 
       (293521*s[19])/324 + (53972917*s[20])/3564 + (41929631*s[21])/7128 - 
       (28149703*s[22])/7128 - (853925*s[23])/99 - (14058307*s[24])/1782 + 
       (81418174*s[25])/8019 - (47432122*s[26])/8019 - 10*s[31] + 4*s[32] - 
       (17*s[33])/2 + 22*s[34] + 6*s[35] + 36*s[36] - 39*s[37] - 274*s[38] + 
       (2325*s[39])/2 - (2473*s[40])/2 + (1877*s[41])/2 - (3395*s[42])/2 - 
       (19087*s[43])/22 + (21671*s[44])/22 - (18983*s[45])/22 + 
       (83377*s[46])/11 - (36049*s[47])/66 + (6214*s[48])/33 + 
       (270991*s[49])/66 - (62416*s[50])/11 - (37063*s[51])/33 - 
       (30598*s[52])/33 + (261769*s[53])/66 - (2381*s[54])/11 + 
       (803237*s[55])/33 + (432127*s[56])/66 - (2029033*s[57])/198 + 
       (3773254*s[58])/297 - (3806995*s[59])/297 - (5891845*s[60])/99 + 
       (8520610*s[61])/2673 + 2*s[65] + 8*s[66] - 12*s[67] - 6*s[68] - 
       20*s[69] - 2*s[71] - 12*s[72] + 12*s[73] + 9*s[74] - 9*s[75] + 
       8*s[76] + 6*s[77] - 28*s[78] - 32*s[79] + 6*s[80])*\[Zeta][2] + 
     F1[w, u, v]*HPL[{1}, 1 - v]*(-21*s[2] + (39*s[3])/2 - (1293*s[4])/4 - 
       (5061*s[5])/11 - (37307*s[6])/44 - (5813431*s[7])/792 + 
       (207599*s[8])/396 + (56941*s[9])/9 + (35047*s[10])/18 + 
       (704893*s[11])/88 + (565843*s[12])/66 + (4051067*s[13])/792 + 
       (118561*s[14])/88 + (712153*s[15])/72 + (2464367*s[16])/198 + 
       (7904731*s[17])/792 + (4531*s[18])/3 + (31877*s[19])/36 + 
       (658001*s[20])/44 + (13890709*s[21])/2376 - (9229849*s[22])/2376 - 
       (1631239*s[23])/198 - (2300123*s[24])/297 + (105426173*s[25])/10692 - 
       (62027309*s[26])/10692 - 10*s[31] + 8*s[32] - (17*s[33])/2 + 
       22*s[34] + 6*s[35] + (113*s[36])/3 - (86*s[37])/3 - 250*s[38] + 
       (4505*s[39])/4 - (14495*s[40])/12 + (3757*s[41])/4 - 
       (19927*s[42])/12 - (113317*s[43])/132 + (260717*s[44])/264 - 
       (28793*s[45])/33 + (336253*s[46])/44 - (394285*s[47])/792 + 
       (114905*s[48])/792 + (3260095*s[49])/792 - (192382*s[50])/33 - 
       (869807*s[51])/792 - (689531*s[52])/792 + (180265*s[53])/44 - 
       (954*s[54])/11 + (2216959*s[55])/88 + (5223269*s[56])/792 - 
       (2724226*s[57])/297 + (88761619*s[58])/7128 - (90554293*s[59])/7128 - 
       (288167545*s[60])/4752 + (208170841*s[61])/64152 + 2*s[65] + 8*s[66] - 
       12*s[67] - 4*s[68] - 22*s[69] - 2*s[71] - 12*s[72] + 12*s[73] + 
       9*s[74] - 9*s[75] + 4*s[76] + 8*s[77] - 26*s[78] - 40*s[79] + 
       (32*s[80])/3)*\[Zeta][2] + F1[v, w, u]*HPL[{1}, 1 - v]*
      ((-155*s[2])/2 - (33*s[3])/4 - (5945*s[4])/8 - (28397*s[5])/44 - 
       (126881*s[6])/88 - (2354483*s[7])/176 + (2257967*s[8])/2376 + 
       (1215653*s[9])/108 + (106939*s[10])/27 + (23164481*s[11])/1584 + 
       (1535626*s[12])/99 + (14700251*s[13])/1584 + (3011705*s[14])/1584 + 
       (2686225*s[15])/144 + (2298035*s[16])/99 + (30126995*s[17])/1584 + 
       (691465*s[18])/324 + (1713589*s[19])/648 + (190248193*s[20])/7128 + 
       (139679051*s[21])/14256 - (99740395*s[22])/14256 - 
       (2607233*s[23])/198 - (54752881*s[24])/3564 + (589879163*s[25])/
        32076 - (326597807*s[26])/32076 - 22*s[31] + 14*s[32] - 
       (17*s[33])/4 + 38*s[34] - 3*s[35] + (190*s[36])/3 - 28*s[37] - 
       448*s[38] + (6475*s[39])/4 - (21433*s[40])/12 + (5731*s[41])/4 - 
       (25895*s[42])/12 - (240167*s[43])/132 + (110485*s[44])/66 - 
       (22863*s[45])/11 + (1987721*s[46])/132 - (46105*s[47])/396 - 
       (87352*s[48])/99 + (3300067*s[49])/396 - (390821*s[50])/33 - 
       (251017*s[51])/198 - (392123*s[52])/396 + (1676435*s[53])/198 + 
       (64813*s[54])/66 + (3548923*s[55])/66 + (5031373*s[56])/396 - 
       (5880205*s[57])/1188 + (74142215*s[58])/3564 - (39944101*s[59])/1782 - 
       (305258065*s[60])/2376 + (407820229*s[61])/64152 + 16*s[68] - 
       32*s[69] - 2*s[70] + s[71] + 2*s[72] + 70*s[73] - (9*s[74])/2 + 
       (9*s[75])/2 + 46*s[76] + 21*s[77] - 54*s[78] - 60*s[79] - 452*s[82] - 
       16*s[85])*\[Zeta][2] + F1[u, v, w]*HPL[{1}, 1 - u]*
      (-49*s[2] - (13*s[3])/2 - (1707*s[4])/4 - (7267*s[5])/22 - 
       (31041*s[6])/44 - (5810767*s[7])/792 + (64657*s[8])/132 + 
       (12349*s[9])/2 + (13601*s[10])/6 + (2117521*s[11])/264 + 
       (371543*s[12])/44 + (3996755*s[13])/792 + (244435*s[14])/264 + 
       (755869*s[15])/72 + (2557547*s[16])/198 + (8465569*s[17])/792 + 
       (27133*s[18])/27 + (183833*s[19])/108 + (17442395*s[20])/1188 + 
       (12497513*s[21])/2376 - (3050207*s[22])/792 - (2618783*s[23])/396 - 
       (385973*s[24])/44 + (108409399*s[25])/10692 - (58741963*s[26])/10692 - 
       14*s[31] + 10*s[32] - (13*s[33])/2 + 26*s[34] - 6*s[35] + 
       (164*s[36])/3 - (94*s[37])/3 - 253*s[38] + 685*s[39] - 
       (2279*s[40])/3 + (1211*s[41])/2 - (4775*s[42])/6 - (2981*s[43])/3 + 
       (9329*s[44])/12 - (8161*s[45])/6 + (50195*s[46])/6 + (3133*s[47])/18 - 
       (12803*s[48])/18 + (79385*s[49])/18 - (19964*s[50])/3 - 
       (3566*s[51])/9 - (12233*s[52])/36 + (87355*s[53])/18 + 
       (6167*s[54])/6 + (95542*s[55])/3 + (14409*s[56])/2 + (10244*s[57])/9 + 
       (288337*s[58])/27 - (644351*s[59])/54 - (1997648*s[60])/27 + 
       (1160033*s[61])/324 - 2*s[65] - 8*s[66] + 12*s[67] + 16*s[68] - 
       2*s[69] + 2*s[71] + 12*s[72] + 36*s[73] - 9*s[74] + 9*s[75] + 
       44*s[76] + 8*s[77] - 28*s[78] - 16*s[79] - (134*s[80])/3 - 452*s[82] - 
       16*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Phi6[u, v, w]*
      (3*s[2] - (193*s[3])/2 - (1901*s[4])/4 - (2879*s[5])/44 - 
       (7956*s[6])/11 - (3285881*s[7])/792 + (190888*s[8])/297 + 
       (349943*s[9])/108 + (44599*s[10])/108 + (3789547*s[11])/792 + 
       (2334181*s[12])/396 + (2800607*s[13])/792 - (172547*s[14])/792 + 
       (315817*s[15])/72 + (2571541*s[16])/396 + (999265*s[17])/264 + 
       (377857*s[18])/324 - (26251*s[19])/324 + (25641233*s[20])/3564 + 
       (17048629*s[21])/7128 - (14807255*s[22])/7128 - (3723971*s[23])/396 - 
       (11326009*s[24])/3564 + (420117649*s[25])/64152 - 
       (211144057*s[26])/64152 + 12*s[29] - 21*s[30] + 2*s[31] - 2*s[32] - 
       s[33] + 2*s[34] - 6*s[35] - (31*s[36])/3 - 45*s[37] - 121*s[38] + 
       (1853*s[39])/2 - (6241*s[40])/6 + 761*s[41] - (9017*s[42])/6 - 
       (33773*s[43])/66 + (93613*s[44])/132 - (23009*s[45])/44 + 
       (707227*s[46])/132 - (280385*s[47])/396 + (176665*s[48])/396 + 
       (858425*s[49])/396 - (114931*s[50])/33 - (424591*s[51])/396 - 
       (363097*s[52])/396 + (1002359*s[53])/396 - (99829*s[54])/66 + 
       (1943701*s[55])/132 + (2289857*s[56])/396 - (7778263*s[57])/594 + 
       (9501532*s[58])/891 - (34783669*s[59])/3564 - (10490149*s[60])/297 + 
       (176484593*s[61])/64152 + 2*s[65] + 8*s[66] - 12*s[67] - 12*s[68] - 
       20*s[69] + 2*s[70] - 3*s[71] - 12*s[72] + 8*s[73] + 8*s[74] - 
       8*s[75] + 10*s[76] + s[77] - 32*s[78] - 98*s[79] + 95*s[80] + 
       44*s[82] + 3*s[83] + 6*s[84] - 16*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*Phi6[u, v, w]*(s[2] + (91*s[3])/4 + (741*s[4])/8 + 
       (592*s[5])/11 + (19171*s[6])/88 + (658145*s[7])/528 - 
       (276313*s[8])/2376 - (55301*s[9])/54 - (12253*s[10])/54 - 
       (2196859*s[11])/1584 - (156323*s[12])/99 - (1540393*s[13])/1584 - 
       (316879*s[14])/1584 - (213929*s[15])/144 - (1588511*s[16])/792 - 
       (2281657*s[17])/1584 - (103301*s[18])/324 - (26699*s[19])/648 - 
       (17128019*s[20])/7128 - (12656053*s[21])/14256 + 
       (9016445*s[22])/14256 + (1539025*s[23])/792 + (8251657*s[24])/7128 - 
       (14334355*s[25])/8019 + (8057215*s[26])/8019 + 2*s[30] + s[32]/2 + 
       s[34] - 2*s[35] + (21*s[36])/2 + (73*s[37])/6 + (55*s[38])/2 - 
       (1483*s[39])/8 + (1783*s[40])/8 - (1285*s[41])/8 + (2361*s[42])/8 + 
       (12549*s[43])/88 - (26497*s[44])/176 + (5222*s[45])/33 - 
       (346705*s[46])/264 + (21753*s[47])/176 - (6737*s[48])/176 - 
       (86379*s[49])/176 + (18787*s[50])/22 + (114769*s[51])/528 + 
       (35341*s[52])/176 - (500219*s[53])/792 + (57361*s[54])/132 - 
       (2049793*s[55])/528 - (2301281*s[56])/1584 + (2793419*s[57])/1188 - 
       (34297075*s[58])/14256 + (31774573*s[59])/14256 + 
       (29348383*s[60])/3168 - (87684829*s[61])/128304 + s[71]/2 + 2*s[73] + 
       s[74]/2 - s[75]/2 - s[77] + s[78] + 34*s[79] - (89*s[80])/3 - 
       46*s[82] - (3*s[83])/2 - 3*s[84] + 4*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*Phi6[u, v, w]*((-5*s[2])/2 + (121*s[3])/4 + 
       (233*s[4])/8 - (805*s[5])/22 + (4531*s[6])/88 - (101957*s[7])/528 - 
       (31451*s[8])/2376 + (23401*s[9])/108 + (8671*s[10])/54 + 
       (283297*s[11])/1584 + (35207*s[12])/396 + (34063*s[13])/1584 + 
       (112705*s[14])/1584 + (66689*s[15])/144 + (170695*s[16])/396 + 
       (831631*s[17])/1584 - (5545*s[18])/324 + (85091*s[19])/648 + 
       (3835559*s[20])/7128 + (3844207*s[21])/14256 - (1816211*s[22])/14256 + 
       (130681*s[23])/396 - (1295207*s[24])/3564 + (8747621*s[25])/64152 - 
       (8912339*s[26])/64152 + 5*s[30] - 2*s[31] + s[32] - (5*s[33])/4 + 
       5*s[34] - s[35] + 16*s[36] + (35*s[37])/3 - 18*s[38] + 32*s[39] - 
       12*s[40] + 28*s[41] - (51*s[42])/2 - (354*s[43])/11 + 
       (1069*s[44])/22 - (2593*s[45])/132 + (30673*s[46])/132 + 
       (10973*s[47])/264 - (8299*s[48])/264 + (90589*s[49])/264 - 
       (15141*s[50])/44 + (415*s[51])/88 + (1328*s[52])/33 + 
       (85967*s[53])/396 + (28265*s[54])/66 + (119635*s[55])/88 - 
       (94891*s[56])/792 + (933047*s[57])/1188 + (234733*s[58])/7128 - 
       (2117443*s[59])/7128 - (5046533*s[60])/1584 - (633415*s[61])/32076 + 
       s[65]/2 + 2*s[66] - 2*s[67] - s[68] - 5*s[69] + s[70] - 2*s[72] + 
       4*s[73] + 2*s[74] - 2*s[75] - 2*s[76] - s[77] - 4*s[78] + 24*s[79] - 
       (77*s[80])/3 - 46*s[82] - (3*s[83])/2 - 3*s[84] + 4*s[85])*
      \[Zeta][2] + F1[v, w, u]*HPL[{1}, 1 - u]*((165*s[2])/2 - (189*s[3])/4 + 
       (1527*s[4])/8 + (22581*s[5])/44 + (73067*s[6])/88 + 
       (12106361*s[7])/1584 - (531917*s[8])/2376 - (718067*s[9])/108 - 
       (151541*s[10])/54 - (12838379*s[11])/1584 - (1563893*s[12])/198 - 
       (822425*s[13])/176 - (3671795*s[14])/1584 - (554777*s[15])/48 - 
       (453647*s[16])/33 - (20052385*s[17])/1584 - (368479*s[18])/324 - 
       (1152247*s[19])/648 - (117048139*s[20])/7128 - 
       (91846049*s[21])/14256 + (57568153*s[22])/14256 + (83527*s[23])/22 + 
       (33806635*s[24])/3564 - (305602013*s[25])/32076 + 
       (187342409*s[26])/32076 + 12*s[29] - 6*s[30] + 24*s[31] - 14*s[32] + 
       (13*s[33])/4 - 34*s[34] + 9*s[35] - (86*s[36])/3 - (23*s[37])/3 + 
       186*s[38] - (2005*s[39])/4 + (7199*s[40])/12 - (2125*s[41])/4 + 
       (6289*s[42])/12 + (130465*s[43])/132 - (48107*s[44])/66 + 
       (82235*s[45])/66 - (1022765*s[46])/132 - (164203*s[47])/396 + 
       (212143*s[48])/198 - (1734407*s[49])/396 + (210163*s[50])/33 + 
       (18397*s[51])/99 + (39877*s[52])/396 - (458638*s[53])/99 - 
       (76795*s[54])/66 - (333013*s[55])/11 - (845039*s[56])/132 - 
       (1924907*s[57])/396 - (3396649*s[58])/396 + (332578*s[59])/33 + 
       (169095671*s[60])/2376 - (69833999*s[61])/21384 + 2*s[65] + 8*s[66] - 
       12*s[67] - 26*s[68] + 12*s[69] + 2*s[70] - 3*s[71] - 14*s[72] - 
       58*s[73] + (27*s[74])/2 - (27*s[75])/2 - 42*s[76] - 15*s[77] + 
       26*s[78] + 36*s[79] + (14*s[80])/3 + 452*s[82] + 16*s[85])*
      \[Zeta][2] + F1[u, v, w]*HPL[{1}, 1 - v]*(54*s[2] - 49*s[3] - 
       (251*s[4])/2 + (4359*s[5])/22 + (2067*s[6])/22 + (634387*s[7])/396 + 
       (23426*s[8])/99 - (14105*s[9])/9 - (10012*s[10])/9 - 
       (16521*s[11])/11 - (109723*s[12])/132 - (173771*s[13])/396 - 
       (59075*s[14])/44 - (122461*s[15])/36 - (683359*s[16])/198 - 
       (428533*s[17])/99 - (145*s[18])/18 - (7523*s[19])/9 - 
       (873731*s[20])/198 - (2262673*s[21])/1188 + (1060957*s[22])/1188 - 
       (1092197*s[23])/396 + (3439189*s[24])/1188 - (13650349*s[25])/10692 + 
       (12323497*s[26])/10692 + 12*s[29] - 6*s[30] + 16*s[31] - 10*s[32] + 
       (11*s[33])/2 - 22*s[34] + 12*s[35] - 20*s[36] - (13*s[37])/3 - 
       9*s[38] + (865*s[39])/2 - (853*s[40])/2 + 296*s[41] - 838*s[42] + 
       (3577*s[43])/22 + (7379*s[44])/44 + (17414*s[45])/33 - 
       (69667*s[46])/66 - (15513*s[47])/22 + (9904*s[48])/11 - 
       (10045*s[49])/22 + (12982*s[50])/11 - (45257*s[51])/66 - 
       (24187*s[52])/44 - (100873*s[53])/99 - (79819*s[54])/66 - 
       (183693*s[55])/22 - (178363*s[56])/198 - (6503567*s[57])/594 + 
       (2755945*s[58])/1782 - (360653*s[59])/891 + (6605105*s[60])/396 - 
       (15684151*s[61])/32076 + 4*s[65] + 16*s[66] - 24*s[67] - 26*s[68] - 
       18*s[69] - 4*s[71] - 24*s[72] - 24*s[73] + 18*s[74] - 18*s[75] - 
       40*s[76] - 2*s[77] - 8*s[79] + (148*s[80])/3 + 452*s[82] + 16*s[85])*
      \[Zeta][2] + HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*(96*s[2] + 5*s[3] + 
       880*s[4] + (35889*s[5])/44 + (81251*s[6])/44 + (13115413*s[7])/792 - 
       (1346137*s[8])/1188 - (376391*s[9])/27 - (539857*s[10])/108 - 
       (14357215*s[11])/792 - (3798203*s[12])/198 - (3030079*s[13])/264 - 
       (2072065*s[14])/792 - (554749*s[15])/24 - (3816121*s[16])/132 - 
       (18887177*s[17])/792 - (210808*s[18])/81 - (1085759*s[19])/324 - 
       (118468877*s[20])/3564 - (87444685*s[21])/7128 + 
       (61713899*s[22])/7128 + (1029173*s[23])/66 + (17143090*s[24])/891 - 
       (363784423*s[25])/16038 + (101482409*s[26])/8019 - 4*s[29] - s[30] + 
       22*s[31] - 19*s[32] - (7*s[33])/4 - 39*s[34] + 2*s[35] - 
       (206*s[36])/3 + (65*s[37])/3 + 562*s[38] - 2108*s[39] + 
       (6947*s[40])/3 - (3743*s[41])/2 + (8527*s[42])/3 + (76759*s[43])/33 - 
       (288169*s[44])/132 + (322679*s[45])/132 - (821091*s[46])/44 + 
       (66785*s[47])/396 + (446681*s[48])/396 - (4274579*s[49])/396 + 
       (972107*s[50])/66 + (647509*s[51])/396 + (495391*s[52])/396 - 
       (1383211*s[53])/132 - (28373*s[54])/22 - (8688985*s[55])/132 - 
       (6046321*s[56])/396 + (1999495*s[57])/297 - (45817741*s[58])/1782 + 
       (99253955*s[59])/3564 + (47243584*s[60])/297 - 
       (495076057*s[61])/64152 - 2*s[65] - 7*s[66] + 8*s[67] - 15*s[68] + 
       58*s[69] + 6*s[70] + 4*s[72] - 88*s[73] + 3*s[74] - 3*s[75] - 
       31*s[76] - 36*s[77] + 74*s[78] + 54*s[79] - (95*s[80])/3 + 482*s[82] + 
       16*s[85])*\[Zeta][2] + HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      (45*s[2] - 24*s[3] + (407*s[4])/2 + (1191*s[5])/11 + (6147*s[6])/22 + 
       (2881133*s[7])/792 - (5719*s[8])/33 - (36409*s[9])/12 - 
       (4120*s[10])/3 - (1068503*s[11])/264 - (183255*s[12])/44 - 
       (1990741*s[13])/792 - (126791*s[14])/264 - (393545*s[15])/72 - 
       (2673233*s[16])/396 - (4593905*s[17])/792 - (17777*s[18])/108 - 
       (144691*s[19])/108 - (8770147*s[20])/1188 - (5756269*s[21])/2376 + 
       (1533875*s[22])/792 + (285509*s[23])/198 + (1015225*s[24])/198 - 
       (109469209*s[25])/21384 + (55217389*s[26])/21384 - 4*s[29] - s[30] + 
       8*s[31] - 16*s[32] + (27*s[33])/4 - 17*s[34] + 8*s[35] - 
       (109*s[36])/3 + (59*s[37])/6 + 141*s[38] - (579*s[39])/4 + 
       (2077*s[40])/12 - (643*s[41])/4 - (163*s[42])/12 + (78731*s[43])/132 - 
       (89401*s[44])/264 + (124393*s[45])/132 - (53162*s[46])/11 - 
       (366391*s[47])/792 + (684527*s[48])/792 - (2106887*s[49])/792 + 
       (135665*s[50])/33 - (124433*s[51])/792 - (106325*s[52])/792 - 
       (100126*s[53])/33 - (15105*s[54])/11 - (5474309*s[55])/264 - 
       (3136453*s[56])/792 - (1937383*s[57])/297 - (32665157*s[58])/7128 + 
       (42062093*s[59])/7128 + (224180147*s[60])/4752 - 
       (65129137*s[61])/32076 + 3*s[65] + 9*s[66] - 16*s[67] - 19*s[68] - 
       2*s[70] - 3*s[71] - 16*s[72] - 44*s[73] + 12*s[74] - 12*s[75] - 
       29*s[76] - 4*s[77] + 12*s[78] - 4*s[79] + (143*s[80])/3 + 482*s[82] + 
       16*s[85])*\[Zeta][2] + Phi6[u, v, w]*(10*s[2] - 95*s[3] - 
       (2097*s[4])/2 - (2606*s[5])/11 - (24439*s[6])/22 - (473585*s[7])/44 + 
       (826117*s[8])/594 + (232987*s[9])/27 + (58883*s[10])/27 + 
       (4842763*s[11])/396 + (1414337*s[12])/99 + (3419989*s[13])/396 - 
       (354725*s[14])/396 + (481019*s[15])/36 + (1761670*s[16])/99 + 
       (4736881*s[17])/396 + (148631*s[18])/81 + (272711*s[19])/162 + 
       (34207739*s[20])/1782 + (22157365*s[21])/3564 - 
       (19784465*s[22])/3564 - (1740500*s[23])/99 - (9851333*s[24])/891 + 
       (133699138*s[25])/8019 - (65013658*s[26])/8019 + 24*s[29] - 12*s[30] + 
       4*s[31] + 8*s[32] - 2*s[33] + 8*s[34] + 12*s[35] + (224*s[36])/3 - 
       (194*s[37])/3 - 492*s[38] + 2107*s[39] - (6677*s[40])/3 + 1699*s[41] - 
       (9247*s[42])/3 - (51571*s[43])/33 + (58714*s[44])/33 - 
       (51899*s[45])/33 + (152006*s[46])/11 - (99146*s[47])/99 + 
       (37639*s[48])/99 + (742058*s[49])/99 - (343492*s[50])/33 - 
       (201235*s[51])/99 - (164383*s[52])/99 + (241253*s[53])/33 - 
       (2106*s[54])/11 + (1475777*s[55])/33 + (1170652*s[56])/99 - 
       (5361475*s[57])/297 + (20429291*s[58])/891 - (20708813*s[59])/891 - 
       (64458401*s[60])/594 + (46772954*s[61])/8019 + 4*s[65] + 16*s[66] - 
       24*s[67] - 20*s[68] - 40*s[69] - 4*s[71] - 24*s[72] + 24*s[73] + 
       18*s[74] - 18*s[75] + 8*s[76] + 12*s[77] - 56*s[78] - 32*s[79] - 
       (4*s[80])/3)*\[Zeta][2]^2 + HPL[{1}, 1 - v]*Phi6[u, v, w]*
      (-7*s[2] - 12*s[3] - (105*s[4])/2 - (3119*s[5])/44 - (6785*s[6])/44 - 
       (38737*s[7])/33 + (3941*s[8])/44 + (3949*s[9])/4 + (1287*s[10])/4 + 
       (13859*s[11])/11 + (57797*s[12])/44 + (105143*s[13])/132 + 
       (9597*s[14])/44 + (19633*s[15])/12 + (265379*s[16])/132 + 
       (221845*s[17])/132 + (9215*s[18])/36 + (2291*s[19])/18 + 
       (234493*s[20])/99 + (188299*s[21])/198 - (80269*s[22])/132 - 
       (184915*s[23])/132 - (53107*s[24])/44 + (11031433*s[25])/7128 - 
       (6669457*s[26])/7128 - 2*s[30] - 4*s[31] - s[32] - 4*s[33] + 8*s[34] + 
       2*s[35] + (29*s[36])/3 - (31*s[37])/2 - 28*s[38] + (533*s[39])/4 - 
       (1379*s[40])/12 + (277*s[41])/4 - (2539*s[42])/12 - (2449*s[43])/132 + 
       (9401*s[44])/264 + (2715*s[45])/44 - (74*s[46])/33 - 
       (137569*s[47])/792 + (213221*s[48])/792 + (29995*s[49])/792 + 
       (9475*s[50])/66 - (132419*s[51])/792 - (120911*s[52])/792 - 
       (7459*s[53])/99 - (7112*s[54])/33 - (247967*s[55])/264 - 
       (33155*s[56])/792 - (1634143*s[57])/594 + (5350997*s[58])/7128 - 
       (4673981*s[59])/7128 + (9500297*s[60])/4752 - (2603663*s[61])/32076 + 
       s[65] + 2*s[66] - 2*s[67] - 8*s[68] + 2*s[70] - s[71] - 4*s[72] + 
       8*s[73] + 2*s[74] - 2*s[75] + 6*s[76] - 4*s[77] - 12*s[78] + 4*s[79] - 
       7*s[80])*\[Zeta][3] + F1[v, w, u]*(2*s[55] - 12*s[56] + (10*s[57])/3 - 
       (152*s[58])/9 + (26*s[59])/9 + (4*s[60])/3 - (503*s[61])/81 - 
       2*s[76] + 2*s[80])*\[Zeta][3] + HPL[{1}, 1 - u]*Phi6[u, v, w]*
      (7*s[2] + 12*s[3] + (105*s[4])/2 + (3119*s[5])/44 + (6785*s[6])/44 + 
       (38737*s[7])/33 - (3941*s[8])/44 - (3949*s[9])/4 - (1287*s[10])/4 - 
       (13859*s[11])/11 - (57797*s[12])/44 - (105143*s[13])/132 - 
       (9597*s[14])/44 - (19633*s[15])/12 - (265379*s[16])/132 - 
       (221845*s[17])/132 - (9215*s[18])/36 - (2291*s[19])/18 - 
       (234493*s[20])/99 - (188299*s[21])/198 + (80269*s[22])/132 + 
       (184915*s[23])/132 + (53107*s[24])/44 - (11031433*s[25])/7128 + 
       (6669457*s[26])/7128 + 2*s[30] + 4*s[31] + s[32] + 4*s[33] - 8*s[34] - 
       2*s[35] - (29*s[36])/3 + (31*s[37])/2 + 28*s[38] - (533*s[39])/4 + 
       (1379*s[40])/12 - (277*s[41])/4 + (2539*s[42])/12 + (2449*s[43])/132 - 
       (9401*s[44])/264 - (2715*s[45])/44 + (74*s[46])/33 + 
       (137569*s[47])/792 - (213221*s[48])/792 - (29995*s[49])/792 - 
       (9475*s[50])/66 + (132419*s[51])/792 + (120911*s[52])/792 + 
       (7459*s[53])/99 + (7112*s[54])/33 + (247967*s[55])/264 + 
       (33155*s[56])/792 + (1634143*s[57])/594 - (5350997*s[58])/7128 + 
       (4673981*s[59])/7128 - (9500297*s[60])/4752 + (2603663*s[61])/32076 - 
       s[65] - 2*s[66] + 2*s[67] + 8*s[68] - 2*s[70] + s[71] + 4*s[72] - 
       8*s[73] - 2*s[74] + 2*s[75] - 6*s[76] + 4*s[77] + 12*s[78] - 4*s[79] + 
       7*s[80])*\[Zeta][3] + F1[w, u, v]*((-7*s[2])/2 - (119*s[3])/4 - 
       (1299*s[4])/8 - (7605*s[5])/44 - (29327*s[6])/88 - 
       (5109241*s[7])/1584 + (522553*s[8])/2376 + (293437*s[9])/108 + 
       (52753*s[10])/54 + (5538283*s[11])/1584 + (727879*s[12])/198 + 
       (1172507*s[13])/528 + (753499*s[14])/1584 + (73019*s[15])/16 + 
       (61390*s[16])/11 + (7270481*s[17])/1584 + (186485*s[18])/324 + 
       (380027*s[19])/648 + (46567259*s[20])/7128 + (35822329*s[21])/14256 - 
       (23906081*s[22])/14256 - (214421*s[23])/66 - (13129271*s[24])/3564 + 
       (139933405*s[25])/32076 - (81343711*s[26])/32076 - 2*s[31] - s[32] + 
       s[33]/4 + 6*s[34] + s[35] + (77*s[36])/3 - (35*s[37])/3 - 120*s[38] + 
       (731*s[39])/2 - (2119*s[40])/6 + (495*s[41])/2 - (1510*s[42])/3 - 
       (20039*s[43])/66 + (66731*s[44])/264 - (16477*s[45])/66 + 
       (23041*s[46])/11 - (142735*s[47])/792 + (108461*s[48])/792 + 
       (1016485*s[49])/792 - (99929*s[50])/66 - (271751*s[51])/792 - 
       (249143*s[52])/792 + (144527*s[53])/132 + (687*s[54])/22 + 
       (584587*s[55])/88 + (1256039*s[56])/792 - (3859519*s[57])/1188 + 
       (25902337*s[58])/7128 - (27317065*s[59])/7128 - 
       (78478075*s[60])/4752 + (24193043*s[61])/32076 + s[65] + 2*s[66] - 
       2*s[67] - 8*s[68] + 2*s[70] - 2*s[72] + 6*s[73] + (3*s[74])/2 - 
       (3*s[75])/2 + 8*s[76] - 5*s[77] - 10*s[78] + 24*s[79] - 
       (112*s[80])/3 + 280*s[82] + 48*s[85])*\[Zeta][3]
 
SuvwCoproductEntries[w] = -(A7[w, u, v]*HPL[{1}, 1 - v]*s[46]) + 
     A2[w, u, v]*HPL[{1}, 1 - v]*(-s[51] + s[53] - s[54] + s[55]) + 
     A3[u, v, w]*HPL[{1}, 1 - v]*(-2*s[51] + 2*s[55]) - 
     A1[v, u, w]*HPL[{1}, 1 - v]*s[56] + A1[w, u, v]*HPL[{1}, 1 - v]*s[56] + 
     H1[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*((27*s[43])/22 - 
       (27*s[44])/44 + (54*s[45])/11 - (513*s[46])/22 - (59*s[47])/44 - 
       (15*s[48])/44 - (219*s[49])/44 + (225*s[50])/11 - (27*s[51])/44 + 
       (5*s[52])/44 - (799*s[53])/44 + (29*s[54])/11 - (5157*s[55])/44 - 
       (995*s[56])/44 - (683*s[57])/11 - (1931*s[58])/132 + 
       (2813*s[59])/132 + (57187*s[60])/264 - (7411*s[61])/594) + 
     A1[w, v, u]*HPL[{1}, 1 - v]*((-12*s[43])/11 - (9*s[44])/44 - 
       (4*s[45])/11 - (36*s[46])/11 + (10*s[47])/33 + (10*s[48])/33 + 
       (80*s[49])/33 + (51*s[50])/22 + (6*s[51])/11 + (5*s[52])/132 + 
       s[53]/33 - (5*s[54])/11 - (236*s[55])/33 - (104*s[56])/11 + 
       (1813*s[57])/66 - (323*s[58])/22 + (665*s[59])/66 + (3151*s[60])/198 - 
       (20663*s[61])/3564) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*J1[w, u, v]*
      ((45*s[43])/88 - (45*s[44])/176 + (45*s[45])/22 - (855*s[46])/88 - 
       (157*s[47])/176 - (25*s[48])/176 - (365*s[49])/176 + (375*s[50])/44 - 
       (45*s[51])/176 + (67*s[52])/176 - (1273*s[53])/176 + (63*s[54])/44 - 
       (8243*s[55])/176 - (1717*s[56])/176 - (1109*s[57])/44 - 
       (1151*s[58])/176 + (1465*s[59])/176 + (96485*s[60])/1056 - 
       (12557*s[61])/2376) + A1[v, w, u]*HPL[{1}, 1 - v]*
      (-s[37] - s[38] + 2*s[39] - 2*s[40] + s[41] - 2*s[42] - (43*s[43])/11 + 
       (119*s[44])/44 + (15*s[45])/11 + (36*s[46])/11 + (56*s[47])/33 - 
       (175*s[48])/33 + (481*s[49])/33 + (15*s[50])/22 + (4*s[51])/33 - 
       (71*s[52])/132 - s[53]/33 + (5*s[54])/11 - (347*s[55])/33 - 
       (50*s[56])/11 - (823*s[57])/66 + (81*s[58])/22 - (467*s[59])/66 - 
       (7243*s[60])/198 - (17815*s[61])/3564) + A10[u, v, w]*HPL[{1}, 1 - v]*
      (2*s[38] + 8*s[39] - 8*s[40] + 8*s[41] - 16*s[42] + 6*s[44] + 8*s[45] - 
       8*s[47] + 16*s[48] + 10*s[49] - 8*s[50] + 2*s[52] + 2*s[55] - 
       16*s[56] - 96*s[57] + 8*s[58] - 38*s[59] + (232*s[60])/3 - 
       (119*s[61])/27) + A5[w, u, v]*HPL[{1}, 1 - v]*
      ((-3*s[39])/2 + (3*s[40])/2 - (3*s[41])/2 + (5*s[42])/2 + (3*s[43])/2 - 
       (5*s[44])/4 + s[45] - (23*s[46])/2 + (7*s[47])/12 - (11*s[48])/12 - 
       (73*s[49])/12 + 9*s[50] + (17*s[51])/12 + (11*s[52])/12 - 
       (23*s[53])/3 + 2*s[54] - (533*s[55])/12 - (37*s[56])/4 - (2*s[57])/3 - 
       (499*s[58])/36 + (601*s[59])/36 + (6451*s[60])/72 - (473*s[61])/108) + 
     H1[u, v, w]*HPL[{1}, 1 - v]^2*((9*s[43])/44 - (9*s[44])/88 + 
       (9*s[45])/11 - (171*s[46])/44 + (39*s[47])/88 - (5*s[48])/88 - 
       (73*s[49])/88 + (75*s[50])/22 + (35*s[51])/88 - (13*s[52])/88 - 
       (325*s[53])/88 + (17*s[54])/22 - (1851*s[55])/88 - (361*s[56])/88 - 
       (235*s[57])/22 - (497*s[58])/264 + (1055*s[59])/264 + 
       (6315*s[60])/176 - (2507*s[61])/1188) + HPL[{1}, 1 - v]^4*
      Phi6[u, v, w]*((9*s[43])/44 - (9*s[44])/88 + (9*s[45])/11 - 
       (171*s[46])/44 - (5*s[47])/88 - (5*s[48])/88 - (73*s[49])/88 + 
       (75*s[50])/22 - (9*s[51])/88 - (13*s[52])/88 - (281*s[53])/88 + 
       (17*s[54])/22 - (1807*s[55])/88 - (361*s[56])/88 - (235*s[57])/22 - 
       (497*s[58])/264 + (1055*s[59])/264 + (6315*s[60])/176 - 
       (2507*s[61])/1188) + H1[v, w, u]*HPL[{1}, 1 - v]^2*
      ((9*s[43])/44 - (9*s[44])/88 + (9*s[45])/11 - (171*s[46])/44 - 
       (49*s[47])/88 - (5*s[48])/88 - (73*s[49])/88 + (75*s[50])/22 + 
       (35*s[51])/88 - (13*s[52])/88 - (237*s[53])/88 - (5*s[54])/22 - 
       (1851*s[55])/88 - (273*s[56])/88 - (235*s[57])/22 - (673*s[58])/264 + 
       (967*s[59])/264 + (18593*s[60])/528 - (259*s[61])/132) + 
     A4[v, w, u]*HPL[{1}, 1 - v]*(-s[43] + s[47]/6 + s[48]/6 + (17*s[49])/6 + 
       (3*s[51])/2 + s[52]/3 + (5*s[53])/6 + 2*s[54] + (19*s[55])/6 - 
       (19*s[56])/6 + (74*s[57])/9 - (149*s[58])/54 - (31*s[59])/54 - 
       (347*s[60])/36 - (448*s[61])/243) + A1[u, w, v]*HPL[{1}, 1 - v]*
      (-s[37] + (12*s[43])/11 + (9*s[44])/44 + (15*s[45])/11 - 
       (63*s[46])/11 - (10*s[47])/33 - (10*s[48])/33 - (80*s[49])/33 + 
       (103*s[50])/22 - (6*s[51])/11 - (5*s[52])/132 - (199*s[53])/33 + 
       (5*s[54])/11 - (398*s[55])/11 - (39*s[56])/11 - (1769*s[57])/66 + 
       (377*s[58])/198 + (931*s[59])/198 + (10775*s[60])/198 - 
       (2015*s[61])/1188) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*J1[v, w, u]*
      ((9*s[43])/88 - (9*s[44])/176 + (9*s[45])/22 - (171*s[46])/88 + 
       (127*s[47])/176 - (5*s[48])/176 - (73*s[49])/176 + (75*s[50])/44 - 
       (9*s[51])/176 + (119*s[52])/176 - (149*s[53])/176 - (27*s[54])/44 - 
       (1015*s[55])/176 - (361*s[56])/176 - (169*s[57])/44 - 
       (371*s[58])/176 + (117*s[59])/176 + (21409*s[60])/1056 - 
       (2881*s[61])/2376) + A6[w, u, v]*HPL[{1}, 1 - v]*
      (s[47]/6 + s[48]/6 + (5*s[49])/6 - s[50] + s[51]/2 - (2*s[52])/3 + 
       2*s[54] - (25*s[55])/6 - (17*s[56])/6 + (37*s[57])/9 - (73*s[58])/54 + 
       (163*s[59])/54 - (305*s[60])/36 - (254*s[61])/243) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*J1[u, v, w]*((9*s[43])/88 - 
       (9*s[44])/176 + (9*s[45])/22 - (171*s[46])/88 - (137*s[47])/176 - 
       (5*s[48])/176 - (73*s[49])/176 + (75*s[50])/44 - (9*s[51])/176 - 
       (145*s[52])/176 - (413*s[53])/176 + (39*s[54])/44 - (2599*s[55])/176 - 
       (449*s[56])/176 - (301*s[57])/44 - (19*s[58])/176 + (557*s[59])/176 + 
       (16129*s[60])/1056 - (1957*s[61])/2376) + A2[u, w, v]*HPL[{1}, 1 - v]*
      (-s[47] + s[48] - s[51] - 2*s[55] - s[56] + s[57] - s[58] + 2*s[59] - 
       (13*s[60])/6 - (16*s[61])/27) + A6[v, w, u]*HPL[{1}, 1 - v]*
      (-s[41] + s[47]/6 + s[48]/6 - s[49]/6 + s[50] + s[51]/2 - (2*s[52])/3 - 
       2*s[54] - (25*s[55])/6 + (7*s[56])/6 - (11*s[57])/9 + (29*s[58])/54 + 
       (61*s[59])/54 + (61*s[60])/36 - (14*s[61])/243) + 
     A4[w, u, v]*HPL[{1}, 1 - v]*(-s[37] + s[50] - (5*s[53])/6 - 2*s[54] - 
       (22*s[55])/3 + (4*s[56])/3 - (16*s[57])/9 + (5*s[58])/27 + 
       (76*s[59])/27 + (17*s[60])/3 + (25*s[61])/486) + 
     A2[v, u, w]*HPL[{1}, 1 - v]*(-s[51] - s[52] - s[53] + s[54] - 5*s[55] - 
       2*s[57] + 2*s[58] + 2*s[59] - (8*s[60])/3 + s[61]/9) + 
     A9[u, v, w]*HPL[{1}, 1 - v]*(-s[39]/2 + s[40]/2 - s[41]/2 + s[42]/2 + 
       s[43]/2 - s[44]/4 - s[45]/2 + s[47]/4 + (3*s[48])/4 - (7*s[49])/4 + 
       (17*s[51])/12 + s[52]/4 + (19*s[55])/12 + (3*s[56])/4 + 3*s[57] - 
       (7*s[58])/12 + (7*s[59])/12 + (43*s[60])/24 + (10*s[61])/27) + 
     A2[v, w, u]*HPL[{1}, 1 - v]*(-s[49] - 2*s[51] - 2*s[54] - s[55] + 
       s[56] - s[58]/3 + s[59]/3 + (5*s[60])/6 + (7*s[61])/18) + 
     A2[w, v, u]*HPL[{1}, 1 - v]*(2*s[54] + 3*s[55] + (2*s[58])/3 - 
       (5*s[59])/3 + (5*s[60])/3 + (11*s[61])/27) + 
     HPL[{1}, 1 - v]^2*J1[u, v, w]*((-9*s[43])/176 + (9*s[44])/352 - 
       (9*s[45])/44 + (171*s[46])/176 + (137*s[47])/352 + (5*s[48])/352 + 
       (73*s[49])/352 - (75*s[50])/88 - (35*s[51])/352 + (13*s[52])/352 + 
       (149*s[53])/352 + (27*s[54])/88 + (1851*s[55])/352 + (361*s[56])/352 + 
       (235*s[57])/88 + (283*s[58])/352 - (293*s[59])/352 - 
       (18241*s[60])/2112 + (2155*s[61])/4752) + HPL[{1}, 1 - v]^2*
      J1[v, w, u]*((-9*s[43])/176 + (9*s[44])/352 - (9*s[45])/44 + 
       (171*s[46])/176 - (127*s[47])/352 + (5*s[48])/352 + (73*s[49])/352 - 
       (75*s[50])/88 - (35*s[51])/352 + (13*s[52])/352 + (413*s[53])/352 - 
       (39*s[54])/88 + (1851*s[55])/352 + (449*s[56])/352 + (235*s[57])/88 + 
       (107*s[58])/352 - (381*s[59])/352 - (19297*s[60])/2112 + 
       (2683*s[61])/4752) + A6[u, v, w]*HPL[{1}, 1 - v]*
      (-s[49] + s[56] + s[58] - s[59] + (19*s[60])/6 + (35*s[61])/54) + 
     A1[u, v, w]*HPL[{1}, 1 - v]*((-12*s[43])/11 - (9*s[44])/44 - 
       (15*s[45])/11 + (63*s[46])/11 + (10*s[47])/33 + (10*s[48])/33 + 
       (80*s[49])/33 - (103*s[50])/22 + (6*s[51])/11 + (5*s[52])/132 + 
       (199*s[53])/33 - (5*s[54])/11 + (398*s[55])/11 + (39*s[56])/11 + 
       (1901*s[57])/66 - (377*s[58])/198 - (931*s[59])/198 - 
       (10775*s[60])/198 + (1619*s[61])/1188) + A7[v, w, u]*HPL[{1}, 1 - v]*
      (s[38] + s[46] + 2*s[56] - s[57] + 2*s[58] + (2*s[60])/3 + 
       (3*s[61])/2) + A8[u, v, w]*HPL[{1}, 1 - v]*(-s[42] + 2*s[43] - 
       s[44]/2 - (3*s[47])/2 + (9*s[48])/2 - (11*s[49])/2 - 2*s[50] - 
       (5*s[51])/6 - s[52]/2 + (11*s[55])/6 + (3*s[56])/2 - 15*s[57] + 
       (9*s[58])/2 - (5*s[59])/2 + (161*s[60])/12 + (56*s[61])/27) + 
     HPL[{1}, 1 - v]^2*J1[w, u, v]*((-45*s[43])/176 + (45*s[44])/352 - 
       (45*s[45])/44 + (855*s[46])/176 + (157*s[47])/352 + (25*s[48])/352 + 
       (365*s[49])/352 - (375*s[50])/88 + (89*s[51])/352 + (65*s[52])/352 + 
       (1273*s[53])/352 - (63*s[54])/88 + (8991*s[55])/352 + 
       (1717*s[56])/352 + (1175*s[57])/88 + (887*s[58])/352 - 
       (1729*s[59])/352 - (94373*s[60])/2112 + (12359*s[61])/4752) + 
     H1[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*((-9*s[43])/22 + 
       (9*s[44])/44 - (18*s[45])/11 + (171*s[46])/22 + (49*s[47])/44 + 
       (5*s[48])/44 + (73*s[49])/44 - (75*s[50])/11 + (9*s[51])/44 + 
       (57*s[52])/44 + (325*s[53])/44 - (17*s[54])/11 + (2071*s[55])/44 + 
       (361*s[56])/44 + (257*s[57])/11 + (409*s[58])/132 - (1231*s[59])/132 - 
       (5963*s[60])/88 + (755*s[61])/198) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      Phi6[u, v, w]*((-9*s[43])/22 + (9*s[44])/44 - (18*s[45])/11 + 
       (171*s[46])/22 + (49*s[47])/44 + (5*s[48])/44 + (73*s[49])/44 - 
       (75*s[50])/11 + (9*s[51])/44 + (13*s[52])/44 + (281*s[53])/44 - 
       (17*s[54])/11 + (1807*s[55])/44 + (361*s[56])/44 + (235*s[57])/11 + 
       (195*s[58])/44 - (337*s[59])/44 - (18769*s[60])/264 + 
       (2419*s[61])/594) + H1[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      ((-9*s[43])/22 + (9*s[44])/44 - (18*s[45])/11 + (171*s[46])/22 - 
       (39*s[47])/44 + (5*s[48])/44 + (73*s[49])/44 - (75*s[50])/11 + 
       (9*s[51])/44 - (31*s[52])/44 + (237*s[53])/44 + (5*s[54])/11 + 
       (1543*s[55])/44 + (273*s[56])/44 + (213*s[57])/11 + (761*s[58])/132 - 
       (791*s[59])/132 - (19649*s[60])/264 + (2573*s[61])/594) + 
     H1[w, u, v]*HPL[{1}, 1 - v]^2*((-27*s[43])/44 + (27*s[44])/88 - 
       (27*s[45])/11 + (513*s[46])/44 + (59*s[47])/88 + (15*s[48])/88 + 
       (219*s[49])/88 - (225*s[50])/22 - (17*s[51])/88 + (39*s[52])/88 + 
       (799*s[53])/88 - (29*s[54])/22 + (5465*s[55])/88 + (995*s[56])/88 + 
       (705*s[57])/22 + (1667*s[58])/264 - (3077*s[59])/264 - 
       (56483*s[60])/528 + (7345*s[61])/1188) + A5[v, w, u]*HPL[{1}, 1 - v]*
      (-s[44]/2 - (5*s[45])/2 + (23*s[46])/2 + s[47]/6 + s[48]/6 - s[49]/6 - 
       9*s[50] - s[51]/6 - s[52]/6 + (23*s[53])/3 - 2*s[54] + (325*s[55])/6 + 
       (31*s[56])/2 + (29*s[57])/3 + (130*s[58])/9 - (275*s[59])/18 - 
       (815*s[60])/9 + (865*s[61])/108) + F1[u, v, w]*HPL[{0, 0, 1}, 1 - u]*
      ((7*s[2])/2 + 46*s[3] + (561*s[4])/4 + (3287*s[5])/44 + 
       (9435*s[6])/44 + (506171*s[7])/264 - (19313*s[8])/132 - 
       (18799*s[9])/12 - (1595*s[10])/3 - (93989*s[11])/44 - 
       (205555*s[12])/88 - (374917*s[13])/264 - (15525*s[14])/88 - 
       (62747*s[15])/24 - (217561*s[16])/66 - (170759*s[17])/66 - 
       (11029*s[18])/36 - (15167*s[19])/36 - (370313*s[20])/99 - 
       (344093*s[21])/264 + (773791*s[22])/792 + (550169*s[23])/264 + 
       (1797505*s[24])/792 - (182975*s[25])/66 + (96487*s[26])/66 + s[32]/2 + 
       (11*s[37])/2 + 77*s[38] - (455*s[39])/2 + (477*s[40])/2 - 
       (355*s[41])/2 + 295*s[42] + (425*s[43])/2 - (805*s[44])/4 + 
       222*s[45] - (3343*s[46])/2 + (259*s[47])/4 + (201*s[48])/4 - 
       (3831*s[49])/4 + 1263*s[50] + (2389*s[51])/12 + (691*s[52])/4 - 
       (2584*s[53])/3 - 13*s[54] - (66377*s[55])/12 - (16223*s[56])/12 + 
       (12578*s[57])/9 - (279103*s[58])/108 + (286933*s[59])/108 + 
       (337393*s[60])/24 - (658261*s[61])/972 - s[68] - s[69] + 2*s[73] - 
       s[77]) + HPL[{0, 0, 0, 1}, 1 - u]*Phi6[u, v, w]*
      ((-7*s[2])/2 - 66*s[3] - (751*s[4])/4 - (4581*s[5])/44 - 
       (14401*s[6])/44 - (743321*s[7])/264 + (27227*s[8])/132 + 
       (27577*s[9])/12 + (2537*s[10])/3 + (136437*s[11])/44 + 
       (292869*s[12])/88 + (531631*s[13])/264 + (33023*s[14])/88 + 
       (31427*s[15])/8 + (324817*s[16])/66 + (132130*s[17])/33 + 
       (14869*s[18])/36 + (23945*s[19])/36 + (554141*s[20])/99 + 
       (508151*s[21])/264 - (1134781*s[22])/792 - (684179*s[23])/264 - 
       (2716303*s[24])/792 + (2374861*s[25])/594 - (1257187*s[26])/594 - 
       s[32]/2 - (11*s[37])/2 - 77*s[38] + (455*s[39])/2 - (477*s[40])/2 + 
       (355*s[41])/2 - 295*s[42] - (425*s[43])/2 + (805*s[44])/4 - 
       222*s[45] + (3343*s[46])/2 - (259*s[47])/4 - (201*s[48])/4 + 
       (3831*s[49])/4 - 1263*s[50] - (2389*s[51])/12 - (691*s[52])/4 + 
       (2584*s[53])/3 + 13*s[54] + (66377*s[55])/12 + (16223*s[56])/12 - 
       (12578*s[57])/9 + (279103*s[58])/108 - (286933*s[59])/108 - 
       (337393*s[60])/24 + (658261*s[61])/972 + s[68] + s[69] - 2*s[73] + 
       s[77]) + F1[v, w, u]*HPL[{0, 0, 1}, 1 - v]*(-2*s[2] + (27*s[3])/4 + 
       (1089*s[4])/8 + (799*s[5])/11 + (16573*s[6])/88 + (1026517*s[7])/528 - 
       (351667*s[8])/2376 - (177217*s[9])/108 - (14954*s[10])/27 - 
       (3378781*s[11])/1584 - (1835437*s[12])/792 - (2207221*s[13])/1584 - 
       (380263*s[14])/1584 - (387941*s[15])/144 - (2646965*s[16])/792 - 
       (4136767*s[17])/1584 - (23504*s[18])/81 - (250811*s[19])/648 - 
       (27870989*s[20])/7128 - (19578301*s[21])/14256 + 
       (14655461*s[22])/14256 + (194492*s[23])/99 + (4069261*s[24])/1782 - 
       (175422125*s[25])/64152 + (94685123*s[26])/64152 - 2*s[31] + s[33]/2 + 
       3*s[34] - 3*s[35] - (35*s[36])/6 + (43*s[37])/6 + 75*s[38] - 
       (2115*s[39])/8 + (7277*s[40])/24 - (1927*s[41])/8 + (8857*s[42])/24 + 
       (69151*s[43])/264 - (141509*s[44])/528 + (32075*s[45])/132 - 
       (533507*s[46])/264 + (76141*s[47])/1584 + (132043*s[48])/1584 - 
       (1882471*s[49])/1584 + (106411*s[50])/66 + (384875*s[51])/1584 + 
       (306431*s[52])/1584 - (851515*s[53])/792 - (4655*s[54])/66 - 
       (3648577*s[55])/528 - (871183*s[56])/528 + (598265*s[57])/396 - 
       (4821559*s[58])/1584 + (5057489*s[59])/1584 + (166325197*s[60])/9504 - 
       (33484763*s[61])/42768 - 3*s[68] + s[69] + 2*s[76] - 3*s[77] - s[78] + 
       38*s[79] - (26*s[80])/3) + G[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      (-s[35] + 2*s[36] + (17*s[37])/6 - (7*s[38])/2 - s[39]/4 - 
       (47*s[40])/4 + (23*s[41])/2 + 4*s[42] - (757*s[43])/44 + 
       (637*s[44])/44 - (4673*s[45])/132 + (9469*s[46])/66 + 
       (1475*s[47])/66 - (6257*s[48])/132 + (3979*s[49])/66 - 
       (5551*s[50])/44 - (39*s[51])/22 - (145*s[52])/33 + (8914*s[53])/99 + 
       (3077*s[54])/132 + (22096*s[55])/33 + (30295*s[56])/198 + 
       (144811*s[57])/1188 + (631339*s[58])/3564 - (376163*s[59])/1782 - 
       (347057*s[60])/264 + (1282889*s[61])/16038 - s[65]/2 - s[66] + 
       2*s[67] + 2*s[68] + 3*s[69] + s[71]/2 + 2*s[72] + 2*s[76] - 
       (10*s[80])/3) + A11[u, v, w]*HPL[{1}, 1 - v]*(s[35] - 2*s[36] + 
       (19*s[37])/6 + (3*s[38])/2 + (67*s[39])/2 - (67*s[40])/2 + 
       (127*s[41])/4 - (259*s[42])/4 + (87*s[43])/22 + (2015*s[44])/88 + 
       (2315*s[45])/33 - (4949*s[46])/33 - (9959*s[47])/264 + 
       (12745*s[48])/264 + (10121*s[49])/264 + (4363*s[50])/44 - 
       (4299*s[51])/88 - (6463*s[52])/264 - (9343*s[53])/99 - 
       (3077*s[54])/132 - (221945*s[55])/264 - (207739*s[56])/792 - 
       (304181*s[57])/594 - (900899*s[58])/7128 + (993185*s[59])/7128 + 
       (810175*s[60])/528 - (4002697*s[61])/32076 + s[65]/2 + 2*s[66] - 
       2*s[67] - 2*s[68] - 4*s[69] - s[71]/2 - 2*s[72] + (3*s[74])/2 - 
       (3*s[75])/2 - 4*s[76] + s[77] + (13*s[80])/3) + 
     HPL[{0, 0, 0, 1}, 1 - v]*Phi6[u, v, w]*(6*s[2] - (81*s[3])/4 - 
       (1307*s[4])/8 - (2143*s[5])/22 - (22835*s[6])/88 - 
       (1307231*s[7])/528 + (432973*s[8])/2376 + (222667*s[9])/108 + 
       (42391*s[10])/54 + (4216231*s[11])/1584 + (2219863*s[12])/792 + 
       (2601823*s[13])/1584 + (746725*s[14])/1584 + (520919*s[15])/144 + 
       (3479999*s[16])/792 + (5824117*s[17])/1584 + (58609*s[18])/162 + 
       (354689*s[19])/648 + (36671567*s[20])/7128 + (26138383*s[21])/14256 - 
       (18357503*s[22])/14256 - (425233*s[23])/198 - (2691059*s[24])/891 + 
       (215110937*s[25])/64152 - (120348947*s[26])/64152 + 6*s[31] + s[33] - 
       11*s[34] + 3*s[35] + (29*s[36])/6 + (5*s[37])/6 - 69*s[38] + 
       (2149*s[39])/8 - (7643*s[40])/24 + (2113*s[41])/8 - (9151*s[42])/24 - 
       (76297*s[43])/264 + (158555*s[44])/528 - (38051*s[45])/132 + 
       (613577*s[46])/264 - (30043*s[47])/1584 - (228109*s[48])/1584 + 
       (2111665*s[49])/1584 - (124867*s[50])/66 - (398813*s[51])/1584 - 
       (284705*s[52])/1584 + (1019833*s[53])/792 + (7025*s[54])/66 + 
       (4394647*s[55])/528 + (1027753*s[56])/528 - (391133*s[57])/396 + 
       (1735939*s[58])/528 - (5580295*s[59])/1584 - (193726435*s[60])/9504 + 
       (40797089*s[61])/42768 + 5*s[68] - 3*s[69] - 6*s[76] + 5*s[77] + 
       3*s[78] - 42*s[79] + (44*s[80])/3) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*((-11*s[3])/4 - (23*s[4])/8 + 
       (25*s[5])/8 + (7*s[6])/4 + (97*s[7])/16 + (35*s[8])/18 - 
       (607*s[9])/72 - (149*s[10])/72 - (349*s[11])/48 - (121*s[12])/24 - 
       (337*s[13])/48 - (595*s[14])/48 - (409*s[15])/48 - (257*s[16])/24 - 
       (697*s[17])/48 + (751*s[18])/216 - (523*s[19])/216 - 
       (3917*s[20])/216 - (5059*s[21])/432 + (2117*s[22])/432 - 
       (689*s[23])/24 + (2869*s[24])/216 - (17323*s[25])/3888 + 
       (32155*s[26])/3888 - s[32]/2 + (7*s[38])/2 - 19*s[39] + 23*s[40] - 
       (69*s[41])/4 + (131*s[42])/4 + (124*s[43])/11 - (289*s[44])/22 + 
       (45*s[45])/11 - (1401*s[46])/22 + (365*s[47])/22 - (197*s[48])/11 - 
       (289*s[49])/11 + (1443*s[50])/44 + (1193*s[51])/44 + (238*s[52])/11 - 
       (673*s[53])/22 + (2447*s[54])/44 - (10607*s[55])/66 - 
       (1807*s[56])/22 + (3191*s[57])/11 - (22291*s[58])/132 + 
       (5377*s[59])/33 + (9067*s[60])/33 - (19517*s[61])/594 - s[70] - 
       2*s[73] + 2*s[77] - 22*s[82]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*((3*s[3])/4 - (11*s[4])/8 + 
       (39*s[5])/8 + 9*s[6] + (1927*s[7])/48 + (29*s[8])/36 - 
       (2453*s[9])/72 - (967*s[10])/72 - (1985*s[11])/48 - (899*s[12])/24 - 
       (1225*s[13])/48 - (1235*s[14])/48 - (2785*s[15])/48 - 
       (1667*s[16])/24 - (1091*s[17])/16 - (1963*s[18])/216 - 
       (1127*s[19])/216 - (19561*s[20])/216 - (18743*s[21])/432 + 
       (8809*s[22])/432 + (61*s[23])/24 + (9875*s[24])/216 - 
       (171953*s[25])/3888 + (140489*s[26])/3888 + s[30] - s[32]/2 + 
       (3*s[33])/2 + s[35] - s[36]/6 + (10*s[37])/3 + (303*s[39])/8 - 
       (929*s[40])/24 + (283*s[41])/8 - (1729*s[42])/24 + (149*s[43])/264 + 
       (16571*s[44])/528 + (3911*s[45])/66 - (18979*s[46])/264 - 
       (56341*s[47])/1584 + (80213*s[48])/1584 + (126607*s[49])/1584 + 
       (1051*s[50])/132 - (78107*s[51])/1584 - (35765*s[52])/1584 - 
       (27209*s[53])/792 + (892*s[54])/33 - (237019*s[55])/528 - 
       (110369*s[56])/528 - (86299*s[57])/198 - (71593*s[58])/1584 + 
       (14653*s[59])/528 + (6652751*s[60])/9504 - (3936379*s[61])/42768 + 
       s[65]/2 + s[66] - 2*s[67] - 2*s[68] - 3*s[69] - s[70] - s[71]/2 - 
       2*s[72] + (3*s[74])/2 - (3*s[75])/2 - 5*s[76] + 3*s[77] + 2*s[78] - 
       2*s[79] + (17*s[80])/3 - 22*s[82]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*(-3*s[38] + (49*s[39])/2 - 
       (63*s[40])/2 + 23*s[41] - 37*s[42] - (61*s[43])/2 + (125*s[44])/4 - 
       (147*s[45])/4 + (983*s[46])/4 - (95*s[47])/24 - (539*s[48])/24 + 
       (2813*s[49])/24 - (685*s[50])/4 - (715*s[51])/24 - (233*s[52])/12 + 
       (761*s[53])/6 - 31*s[54] + (19513*s[55])/24 + (5723*s[56])/24 - 
       (1414*s[57])/9 + (79381*s[58])/216 - (78049*s[59])/216 - 
       (282389*s[60])/144 + (231715*s[61])/1944 - 20*s[82]) + 
     H1[v, w, u]*HPL[{0, 1}, 1 - u]*((-3*s[2])/2 - s[3] - (121*s[4])/8 - 
       (1147*s[5])/88 - (349*s[6])/22 - (47957*s[7])/176 + (1651*s[8])/99 + 
       (16873*s[9])/72 + (5825*s[10])/72 + (165263*s[11])/528 + 
       (46381*s[12])/132 + (110885*s[13])/528 + (9299*s[14])/528 + 
       (16835*s[15])/48 + (121849*s[16])/264 + (176327*s[17])/528 + 
       (9749*s[18])/216 + (13747*s[19])/216 + (1274155*s[20])/2376 + 
       (914579*s[21])/4752 - (694393*s[22])/4752 - (34951*s[23])/132 - 
       (98647*s[24])/297 + (16988915*s[25])/42768 - (8983919*s[26])/42768 + 
       s[32] - (3*s[37])/4 - (39*s[38])/2 + (193*s[39])/4 - (199*s[40])/4 + 
       (149*s[41])/4 - 59*s[42] - (1813*s[43])/44 + (3749*s[44])/88 - 
       (438*s[45])/11 + (13591*s[46])/44 - (1007*s[47])/88 - 
       (1293*s[48])/88 + (18751*s[49])/88 - (5509*s[50])/22 - 
       (10181*s[51])/264 - (2935*s[52])/88 + (4955*s[53])/33 + 
       (951*s[54])/22 + (257849*s[55])/264 + (54191*s[56])/264 - 
       (29935*s[57])/99 + (1145635*s[58])/2376 - (1172041*s[59])/2376 - 
       (1452025*s[60])/528 + (2329177*s[61])/21384 + (3*s[68])/2 - s[69]/2 - 
       s[73] + s[77]/2 - (21*s[82])/2) + H1[v, w, u]*HPL[{0, 1}, 1 - v]*
      ((-113*s[4])/8 - (799*s[5])/44 - (2023*s[6])/88 - (175067*s[7])/528 + 
       (44123*s[8])/2376 + (31661*s[9])/108 + (5243*s[10])/54 + 
       (588497*s[11])/1584 + (323309*s[12])/792 + (383849*s[13])/1584 + 
       (69455*s[14])/1584 + (63619*s[15])/144 + (225833*s[16])/396 + 
       (668087*s[17])/1584 + (4777*s[18])/81 + (39361*s[19])/648 + 
       (4911883*s[20])/7128 + (3625937*s[21])/14256 - (2571469*s[22])/14256 - 
       (248723*s[23])/792 - (2775089*s[24])/7128 + (29723383*s[25])/64152 - 
       (16599961*s[26])/64152 - s[33]/2 - (3*s[35])/2 + (5*s[36])/6 - 
       2*s[37] - 19*s[38] + (217*s[39])/4 - (703*s[40])/12 + (177*s[41])/4 - 
       (851*s[42])/12 - (6683*s[43])/132 + (13393*s[44])/264 - 
       (2065*s[45])/44 + (12365*s[46])/33 - (9923*s[47])/792 - 
       (11441*s[48])/792 + (193691*s[49])/792 - (39227*s[50])/132 - 
       (34885*s[51])/792 - (31027*s[52])/792 + (37007*s[53])/198 + 
       (1538*s[54])/33 + (107137*s[55])/88 + (217103*s[56])/792 - 
       (114751*s[57])/297 + (4251259*s[58])/7128 - (4393999*s[59])/7128 - 
       (15584333*s[60])/4752 + (1104569*s[61])/8019 + s[68] - s[79] - 
       2*s[80] - (21*s[82])/2) + H1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      (-s[39] + s[40] - s[41] + (3*s[42])/2 + (59*s[43])/22 - (13*s[44])/22 + 
       (63*s[45])/11 - (346*s[46])/11 + (41*s[47])/132 - (157*s[48])/132 - 
       (629*s[49])/132 + (525*s[50])/22 + (241*s[51])/132 + (83*s[52])/66 - 
       (250*s[53])/11 + (98*s[54])/11 - (6275*s[55])/44 - (4621*s[56])/132 - 
       (3470*s[57])/99 - (38519*s[58])/1188 + (49067*s[59])/1188 + 
       (196079*s[60])/792 - (96433*s[61])/5346 - 8*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Phi6[u, v, w]*
      (s[37] + (5*s[38])/2 - (43*s[39])/4 + (43*s[40])/4 - (19*s[41])/2 + 
       (31*s[42])/2 + (391*s[43])/44 - (633*s[44])/88 + (375*s[45])/22 - 
       (4855*s[46])/44 + (1453*s[47])/264 - (1649*s[48])/264 - 
       (9595*s[49])/264 + (3785*s[50])/44 + (3073*s[51])/264 + 
       (2207*s[52])/264 - (2218*s[53])/33 + (459*s[54])/44 - 
       (114263*s[55])/264 - (9499*s[56])/88 + (749*s[57])/22 - 
       (126383*s[58])/792 + (135287*s[59])/792 + (1395697*s[60])/1584 - 
       (392245*s[61])/7128 - 6*s[82]) + H1[w, u, v]*HPL[{0, 1}, 1 - u]*
      ((5*s[2])/2 + 15*s[3] + (367*s[4])/8 + (2505*s[5])/88 + (821*s[6])/11 + 
       (326621*s[7])/528 - (1613*s[8])/33 - (12185*s[9])/24 - 
       (3601*s[10])/24 - (122511*s[11])/176 - (34179*s[12])/44 - 
       (251191*s[13])/528 - (8443*s[14])/176 - (38777*s[15])/48 - 
       (274019*s[16])/264 - (407333*s[17])/528 - (961*s[18])/8 - 
       (2413*s[19])/24 - (105199*s[20])/88 - (694835*s[21])/1584 + 
       (500681*s[22])/1584 + (108335*s[23])/132 + (67643*s[24])/99 - 
       (12849251*s[25])/14256 + (6978767*s[26])/14256 + (13*s[37])/4 + 
       (61*s[38])/2 - (387*s[39])/4 + (413*s[40])/4 - (299*s[41])/4 + 
       129*s[42] + (3863*s[43])/44 - (7471*s[44])/88 + (1025*s[45])/11 - 
       (30849*s[46])/44 + (2821*s[47])/88 + (1391*s[48])/88 - 
       (33741*s[49])/88 + (11189*s[50])/22 + (22775*s[51])/264 + 
       (6877*s[52])/88 - (11611*s[53])/33 + (621*s[54])/22 - 
       (198921*s[55])/88 - (159517*s[56])/264 + (147205*s[57])/198 - 
       (2698865*s[58])/2376 + (2717603*s[59])/2376 + (3020531*s[60])/528 - 
       (6329891*s[61])/21384 - s[68]/2 - s[69]/2 + 3*s[73] + s[77]/2 - 
       (9*s[82])/2) + H1[u, v, w]*HPL[{0, 1}, 1 - v]*
      ((375*s[4])/8 + (265*s[5])/11 + (5831*s[6])/88 + (350953*s[7])/528 - 
       (129215*s[8])/2376 - (30517*s[9])/54 - (17887*s[10])/108 - 
       (1181711*s[11])/1584 - (662489*s[12])/792 - (816515*s[13])/1584 - 
       (73853*s[14])/1584 - (123061*s[15])/144 - (437423*s[16])/396 - 
       (1253261*s[17])/1584 - (35455*s[18])/324 - (70027*s[19])/648 - 
       (9180613*s[20])/7128 - (6406943*s[21])/14256 + (5058703*s[22])/14256 + 
       (634445*s[23])/792 + (5270003*s[24])/7128 - (7774403*s[25])/8019 + 
       (16319477*s[26])/32076 - s[33]/2 - (3*s[35])/2 - (13*s[36])/6 + 
       (29*s[37])/6 + 29*s[38] - (213*s[39])/2 + (727*s[40])/6 - 
       (187*s[41])/2 + (905*s[42])/6 + (281*s[43])/3 - (296*s[44])/3 + 
       (257*s[45])/3 - (4421*s[46])/6 + (316*s[47])/9 + (94*s[48])/9 - 
       (14965*s[49])/36 + (6755*s[50])/12 + (1909*s[51])/18 + (791*s[52])/9 - 
       (3305*s[53])/9 + (71*s[54])/3 - (7037*s[55])/3 - (1883*s[56])/3 + 
       (1807*s[57])/2 - (32816*s[58])/27 + (65737*s[59])/54 + 
       (662201*s[60])/108 - (70519*s[61])/243 - s[68] + 15*s[79] - 
       (13*s[80])/3 - (9*s[82])/2) + HPL[{0, 1}, 1 - u]*J1[v, w, u]*
      ((-13*s[2])/8 - (31*s[3])/4 - (855*s[4])/32 - (6157*s[5])/352 - 
       (3721*s[6])/88 - (797113*s[7])/2112 + (1249*s[8])/44 + 
       (9991*s[9])/32 + (3023*s[10])/32 + (300227*s[11])/704 + 
       (83965*s[12])/176 + (615731*s[13])/2112 + (21159*s[14])/704 + 
       (93749*s[15])/192 + (667951*s[16])/1056 + (983953*s[17])/2112 + 
       (20857*s[18])/288 + (18527*s[19])/288 + (2315543*s[20])/3168 + 
       (1698167*s[21])/6336 - (410551*s[22])/2112 - (249685*s[23])/528 - 
       (55841*s[24])/132 + (31344695*s[25])/57024 - (16987139*s[26])/57024 + 
       s[32]/4 - (29*s[37])/16 - (161*s[38])/8 + (967*s[39])/16 - 
       (1025*s[40])/16 + (747*s[41])/16 - (317*s[42])/4 - (9363*s[43])/176 + 
       (18691*s[44])/352 - (622*s[45])/11 + (75289*s[46])/176 - 
       (20123*s[47])/1056 - (12401*s[48])/1056 + (256763*s[49])/1056 - 
       (27799*s[50])/88 - (18753*s[51])/352 - (50419*s[52])/1056 + 
       (9319*s[53])/44 - (467*s[54])/88 + (1443455*s[55])/1056 + 
       (376921*s[56])/1056 - (45473*s[57])/99 + (6584021*s[58])/9504 - 
       (6606719*s[59])/9504 - (22387565*s[60])/6336 + 
       (15146303*s[61])/85536 + (5*s[68])/8 + s[69]/8 - (7*s[73])/4 - 
       s[77]/8 - (27*s[82])/8) + HPL[{0, 1}, 1 - v]*J1[v, w, u]*
      ((-831*s[4])/32 - (2919*s[5])/176 - (13685*s[6])/352 - 
       (876973*s[7])/2112 + (33617*s[8])/1056 + (17081*s[9])/48 + 
       (1285*s[10])/12 + (327287*s[11])/704 + (183143*s[12])/352 + 
       (672293*s[13])/2112 + (24129*s[14])/704 + (103247*s[15])/192 + 
       (366893*s[16])/528 + (1058203*s[17])/2112 + (1675*s[18])/24 + 
       (6613*s[19])/96 + (861263*s[20])/1056 + (1826647*s[21])/6336 - 
       (1407763*s[22])/6336 - (505871*s[23])/1056 - (1479455*s[24])/3168 + 
       (17102639*s[25])/28512 - (9104933*s[26])/28512 + s[33]/8 + 
       (3*s[35])/8 + (31*s[36])/24 - (35*s[37])/12 - (81*s[38])/4 + 
       (1069*s[39])/16 - (3611*s[40])/48 + (909*s[41])/16 - (4423*s[42])/48 - 
       (32275*s[43])/528 + (66881*s[44])/1056 - (29099*s[45])/528 + 
       (5117*s[46])/11 - (56707*s[47])/3168 - (47665*s[48])/3168 + 
       (878455*s[49])/3168 - (189037*s[50])/528 - (190781*s[51])/3168 - 
       (165971*s[52])/3168 + (61393*s[53])/264 + (29*s[54])/11 + 
       (525585*s[55])/352 + (1212863*s[56])/3168 - (315281*s[57])/594 + 
       (21523867*s[58])/28512 - (21824791*s[59])/28512 - 
       (74887429*s[60])/19008 + (5734385*s[61])/32076 + (3*s[68])/4 - 
       (31*s[79])/4 + (5*s[80])/3 - (27*s[82])/8) + 
     F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*(s[37] + (5*s[38])/2 - 
       (39*s[39])/4 + (39*s[40])/4 - (17*s[41])/2 + 14*s[42] + 
       (325*s[43])/44 - (611*s[44])/88 + (629*s[45])/44 - (1024*s[46])/11 + 
       (1409*s[47])/264 - (1561*s[48])/264 - (8231*s[49])/264 + 
       (3169*s[50])/44 + (2633*s[51])/264 + (2053*s[52])/264 - 
       (1811*s[53])/33 + (371*s[54])/44 - (31165*s[55])/88 - 
       (8047*s[56])/88 + (1580*s[57])/33 - (37075*s[58])/264 + 
       (12915*s[59])/88 + (1169471*s[60])/1584 - (166307*s[61])/3564 - 
       3*s[82]) + HPL[{1}, 1 - v]^2*K1[u, v, w]*(s[37]/4 + s[38]/4 - 
       (5*s[39])/2 + (5*s[40])/2 - (15*s[41])/8 + (35*s[42])/8 + 
       (2*s[43])/11 - s[44]/11 + (137*s[45])/22 - (1351*s[46])/44 + 
       (679*s[47])/132 - (469*s[48])/66 + (119*s[49])/132 + (2001*s[50])/88 + 
       (333*s[51])/88 + (146*s[52])/33 - (2285*s[53])/132 + (795*s[54])/88 - 
       (7603*s[55])/66 - (1775*s[56])/44 + (1583*s[57])/44 - 
       (44647*s[58])/792 + (4946*s[59])/99 + (171043*s[60])/792 - 
       (149921*s[61])/7128 - 3*s[82]) + F1[u, v, w]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*(-s[37]/4 + (9*s[38])/4 - 9*s[39] + 10*s[40] - 
       (67*s[41])/8 + (107*s[42])/8 + (191*s[43])/22 - (301*s[44])/44 + 
       (19*s[45])/11 - (1351*s[46])/44 + (79*s[47])/33 + (19*s[48])/132 - 
       (1051*s[49])/33 + (1913*s[50])/88 + (927*s[51])/88 + 
       (1145*s[52])/132 - (2219*s[53])/132 + (751*s[54])/88 - 
       (10553*s[55])/132 - (299*s[56])/22 + (1960*s[57])/33 - 
       (39785*s[58])/792 + (22699*s[59])/396 + (87155*s[60])/396 - 
       (3871*s[61])/792 - 3*s[82]) + A3[w, u, v]*HPL[{1}, 1 - v]*
      ((4*s[43])/11 + (9*s[44])/11 - (6*s[45])/11 + (34*s[46])/11 - 
       s[47]/22 - s[48]/22 + (47*s[49])/22 - (47*s[50])/11 - (37*s[51])/22 + 
       (13*s[52])/11 + (73*s[53])/33 + (53*s[54])/11 + (435*s[55])/22 + 
       (109*s[56])/66 + (529*s[57])/99 + (1763*s[58])/594 - 
       (2303*s[59])/594 - (1949*s[60])/44 + (4987*s[61])/2673 - 3*s[82]) + 
     HPL[{0, 1}, 1 - u]*K1[w, u, v]*((7*s[2])/2 + (43*s[3])/4 + 
       (351*s[4])/8 + (2199*s[5])/88 + (633*s[6])/11 + (318233*s[7])/528 - 
       (9287*s[8])/198 - (35971*s[9])/72 - (11513*s[10])/72 - 
       (356855*s[11])/528 - (198125*s[12])/264 - (79461*s[13])/176 - 
       (17837*s[14])/528 - (12859*s[15])/16 - (89453*s[16])/88 - 
       (402931*s[17])/528 - (22751*s[18])/216 - (26233*s[19])/216 - 
       (2765377*s[20])/2376 - (1958537*s[21])/4752 + (1476799*s[22])/4752 + 
       (63309*s[23])/88 + (1649207*s[24])/2376 - (37470749*s[25])/42768 + 
       (19752341*s[26])/42768 + 2*s[37] + 32*s[38] - 95*s[39] + 99*s[40] - 
       75*s[41] + 123*s[42] + (981*s[43])/11 - (1839*s[44])/22 + 
       (976*s[45])/11 - (7518*s[46])/11 + (1753*s[47])/66 + (1291*s[48])/66 - 
       (26863*s[49])/66 + (5768*s[50])/11 + (5483*s[51])/66 + 
       (4637*s[52])/66 - (3902*s[53])/11 - (254*s[54])/11 - 
       (149195*s[55])/66 - (34601*s[56])/66 + (53257*s[57])/99 - 
       (616279*s[58])/594 + (639373*s[59])/594 + (2293909*s[60])/396 - 
       (1423825*s[61])/5346 - s[68] + s[70] + 4*s[73] - 2*s[77] - 3*s[82]) + 
     HPL[{0, 1}, 1 - v]*K1[u, v, w]*((-3*s[3])/4 + (347*s[4])/8 + 
       (1215*s[5])/44 + (4855*s[6])/88 + (116491*s[7])/176 - 
       (40525*s[8])/792 - (10289*s[9])/18 - (1583*s[10])/9 - 
       (389173*s[11])/528 - (107681*s[12])/132 - (259195*s[13])/528 - 
       (29365*s[14])/528 - (42599*s[15])/48 - (295331*s[16])/264 - 
       (436987*s[17])/528 - (11453*s[18])/108 - (25643*s[19])/216 - 
       (3133745*s[20])/2376 - (2197831*s[21])/4752 + (1686635*s[22])/4752 + 
       (192391*s[23])/264 + (1801711*s[24])/2376 - (20275259*s[25])/21384 + 
       (10772357*s[26])/21384 - s[30] + s[32]/2 - (3*s[33])/2 - s[35] - 
       (7*s[36])/6 + (3*s[37])/4 + (59*s[38])/2 - (1091*s[39])/8 + 
       (3541*s[40])/24 - (957*s[41])/8 + (4955*s[42])/24 + 
       (24191*s[43])/264 - (62251*s[44])/528 + (1825*s[45])/88 - 
       (77833*s[46])/132 + (103217*s[47])/1584 - (54457*s[48])/1584 - 
       (748595*s[49])/1584 + (64165*s[50])/132 + (227155*s[51])/1584 + 
       (166117*s[52])/1584 - (115589*s[53])/396 - (1183*s[54])/132 - 
       (860197*s[55])/528 - (522605*s[56])/1584 + (1449341*s[57])/1188 - 
       (14777041*s[58])/14256 + (15182869*s[59])/14256 + 
       (45568679*s[60])/9504 - (1272301*s[61])/8019 - s[65]/2 - s[66] + 
       2*s[67] + s[68] + 3*s[69] + s[70] + s[71]/2 + 2*s[72] - (3*s[74])/2 + 
       (3*s[75])/2 + 5*s[76] - 3*s[77] - 2*s[78] + 10*s[79] - (11*s[80])/2 - 
       3*s[82]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*J1[v, w, u]*
      (s[39]/4 - s[40]/4 + s[41]/4 - (3*s[42])/8 + (37*s[43])/88 + 
       (31*s[44])/88 + (85*s[45])/44 - (173*s[46])/22 - (113*s[47])/528 - 
       (443*s[48])/528 + (317*s[49])/528 + (591*s[50])/88 - (265*s[51])/528 - 
       (5*s[52])/264 - (215*s[53])/33 + (27*s[54])/22 - (22367*s[55])/528 - 
       (1577*s[56])/176 - (185*s[57])/11 - (9635*s[58])/1584 + 
       (16055*s[59])/1584 + (211897*s[60])/3168 - (35195*s[61])/7128 - 
       2*s[82]) + HPL[{0, 1}, 1 - u]*J1[w, u, v]*((11*s[2])/8 + (17*s[3])/4 + 
       (673*s[4])/32 + (5279*s[5])/352 + (337*s[6])/11 + (674171*s[7])/2112 - 
       (9335*s[8])/396 - (76877*s[9])/288 - (24373*s[10])/288 - 
       (756859*s[11])/2112 - (209519*s[12])/528 - (507905*s[13])/2112 - 
       (52663*s[14])/2112 - (81439*s[15])/192 - (568021*s[16])/1056 - 
       (285377*s[17])/704 - (47509*s[18])/864 - (54635*s[19])/864 - 
       (5886011*s[20])/9504 - (4252543*s[21])/19008 + (3149261*s[22])/19008 + 
       (193969*s[23])/528 + (109649*s[24])/297 - (78910015*s[25])/171072 + 
       (42343195*s[26])/171072 - s[32]/2 + (19*s[37])/16 + (139*s[38])/8 - 
       (805*s[39])/16 + (843*s[40])/16 - (629*s[41])/16 + (259*s[42])/4 + 
       (8225*s[43])/176 - (15529*s[44])/352 + (2109*s[45])/44 - 
       (63567*s[46])/176 + (5091*s[47])/352 + (3881*s[48])/352 - 
       (74827*s[49])/352 + (24263*s[50])/88 + (46561*s[51])/1056 + 
       (13307*s[52])/352 - (24521*s[53])/132 - (497*s[54])/88 - 
       (1256813*s[55])/1056 - (300731*s[56])/1056 + (242441*s[57])/792 - 
       (5296087*s[58])/9504 + (5458357*s[59])/9504 + (2152311*s[60])/704 - 
       (12300613*s[61])/85536 - (7*s[68])/8 + s[69]/8 + (5*s[73])/4 - 
       s[77]/8 - (15*s[82])/8) + HPL[{0, 1}, 1 - v]*J1[u, v, w]*
      ((697*s[4])/32 + (1449*s[5])/88 + (11653*s[6])/352 + 
       (758783*s[7])/2112 - (81335*s[8])/3168 - (11177*s[9])/36 - 
       (13801*s[10])/144 - (845387*s[11])/2112 - (465689*s[12])/1056 - 
       (188493*s[13])/704 - (83177*s[14])/2112 - (30595*s[15])/64 - 
       (106849*s[16])/176 - (952249*s[17])/2112 - (25909*s[18])/432 - 
       (53695*s[19])/864 - (6830185*s[20])/9504 - (4902731*s[21])/19008 + 
       (3655459*s[22])/19008 + (134963*s[23])/352 + (3898223*s[24])/9504 - 
       (21844517*s[25])/42768 + (5923231*s[26])/21384 + s[33]/8 + 
       (3*s[35])/8 - (23*s[36])/24 + (53*s[37])/24 + (67*s[38])/4 - 
       (223*s[39])/4 + (739*s[40])/12 - (95*s[41])/2 + (457*s[42])/6 + 
       (13993*s[43])/264 - (27149*s[44])/528 + (13193*s[45])/264 - 
       (35177*s[46])/88 + (24763*s[47])/1584 + (13345*s[48])/1584 - 
       (187685*s[49])/792 + (163343*s[50])/528 + (81947*s[51])/1584 + 
       (68819*s[52])/1584 - (13619*s[53])/66 - (353*s[54])/44 - 
       (694951*s[55])/528 - (500723*s[56])/1584 + (871951*s[57])/2376 - 
       (8863483*s[58])/14256 + (9167377*s[59])/14256 + 
       (32289643*s[60])/9504 - (1213381*s[61])/8019 - (3*s[68])/4 + 
       (17*s[79])/4 - s[80]/12 - (15*s[82])/8) + HPL[{1}, 1 - v]^2*
      K1[v, w, u]*((7*s[38])/4 - (47*s[39])/8 + (51*s[40])/8 - (21*s[41])/4 + 
       (17*s[42])/2 + (501*s[43])/88 - (831*s[44])/176 + (585*s[45])/88 - 
       (512*s[46])/11 + (881*s[47])/528 - (241*s[48])/528 - 
       (12191*s[49])/528 + (3125*s[50])/88 + (3073*s[51])/528 + 
       (2713*s[52])/528 - (889*s[53])/33 + (327*s[54])/88 - 
       (88391*s[55])/528 - (6947*s[56])/176 + (6617*s[57])/264 - 
       (36019*s[58])/528 + (12827*s[59])/176 + (1189271*s[60])/3168 - 
       (70861*s[61])/3564 - (3*s[82])/2) + F1[v, w, u]*HPL[{1}, 1 - v]^3*
      (s[38]/6 - (23*s[39])/12 + (23*s[40])/12 - (7*s[41])/4 + (13*s[42])/4 + 
       (25*s[43])/12 - (29*s[44])/24 + 2*s[45] - (199*s[46])/12 + 
       (23*s[47])/24 - (47*s[48])/24 - (59*s[49])/8 + (41*s[50])/3 + 
       (151*s[51])/72 + (37*s[52])/24 - (227*s[53])/18 + (23*s[54])/6 - 
       (1729*s[55])/24 - (1033*s[56])/72 - (551*s[57])/54 - 
       (10991*s[58])/648 + (15365*s[59])/648 + (19211*s[60])/144 - 
       (39965*s[61])/5832 - (3*s[82])/2) + 3*A3[u, v, w]*HPL[{1}, 1 - u]*
      s[82] - 3*A3[w, u, v]*HPL[{1}, 1 - u]*s[82] - 
     (3*F1[u, v, w]*HPL[{1}, 1 - u]^3*s[82])/2 + 
     (3*F1[v, w, u]*HPL[{1}, 1 - u]^3*s[82])/2 - 
     3*F1[v, w, u]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*s[82] - 
     3*F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*s[82] + 
     (9*F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*s[82])/2 - 
     (3*HPL[{1}, 1 - u]^2*K1[v, w, u]*s[82])/2 + 6*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*K1[v, w, u]*s[82] - 3*HPL[{1}, 1 - u]^2*K1[w, u, v]*
      s[82] + 3*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*K1[w, u, v]*s[82] - 
     20*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      s[82] + 10*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*Phi6[u, v, w]*s[82] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*J1[w, u, v]*(s[39]/4 - s[40]/4 + 
       s[41]/4 - (3*s[42])/8 + (3*s[43])/8 + s[44]/4 + s[45]/4 - 
       (11*s[47])/48 + (31*s[48])/48 - s[49]/48 - (5*s[50])/8 - 
       (35*s[51])/48 - s[52]/3 - (77*s[55])/48 - (65*s[56])/48 - 
       (205*s[57])/36 + (185*s[58])/432 - (581*s[59])/432 + 
       (1459*s[60])/288 - (463*s[61])/972 + s[82]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*J1[u, v, w]*((5*s[39])/4 - (5*s[40])/4 + 
       (5*s[41])/4 - (15*s[42])/8 - (235*s[43])/88 + (101*s[44])/88 - 
       (19*s[45])/44 + (173*s[46])/22 - (217*s[47])/528 - (283*s[48])/528 + 
       (3973*s[49])/528 - (525*s[50])/88 - (857*s[51])/528 - 
       (127*s[52])/264 + (215*s[53])/33 - (27*s[54])/22 + (17681*s[55])/528 + 
       (543*s[56])/176 + (703*s[57])/66 + (9085*s[58])/1584 - 
       (17089*s[59])/1584 - (233215*s[60])/3168 + (2125*s[61])/2376 + 
       s[82]) + F1[u, v, w]*HPL[{1}, 1 - v]^3*((-7*s[38])/4 + (47*s[39])/8 - 
       (51*s[40])/8 + (21*s[41])/4 - (17*s[42])/2 - (501*s[43])/88 + 
       (831*s[44])/176 - (585*s[45])/88 + (512*s[46])/11 - (1145*s[47])/528 + 
       (241*s[48])/528 + (12191*s[49])/528 - (3125*s[50])/88 - 
       (3073*s[51])/528 - (2713*s[52])/528 + (1811*s[53])/66 - 
       (371*s[54])/88 + (88391*s[55])/528 + (21193*s[56])/528 - 
       (6617*s[57])/264 + (35843*s[58])/528 - (38569*s[59])/528 - 
       (1190327*s[60])/3168 + (71125*s[61])/3564 + (3*s[82])/2) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      (-s[2] - s[3] - (75*s[4])/8 - (485*s[5])/88 - (126*s[6])/11 - 
       (76667*s[7])/528 + (3877*s[8])/396 + (8863*s[9])/72 + 
       (2747*s[10])/72 + (89195*s[11])/528 + (25639*s[12])/132 + 
       (21387*s[13])/176 + (335*s[14])/528 + (2817*s[15])/16 + 
       (20921*s[16])/88 + (83599*s[17])/528 + (4391*s[18])/216 + 
       (7225*s[19])/216 + (641125*s[20])/2376 + (441047*s[21])/4752 - 
       (367153*s[22])/4752 - (1633*s[23])/11 - (205255*s[24])/1188 + 
       (9494213*s[25])/42768 - (4804169*s[26])/42768 + s[32] - (3*s[37])/4 - 
       (21*s[38])/2 + (55*s[39])/2 - 29*s[40] + 21*s[41] - (137*s[42])/4 - 
       (262*s[43])/11 + (537*s[44])/22 - (947*s[45])/44 + (7405*s[46])/44 - 
       (1147*s[47])/132 - (1015*s[48])/132 + (3844*s[49])/33 - 
       (1437*s[50])/11 - (806*s[51])/33 - (2771*s[52])/132 + 
       (2572*s[53])/33 + (164*s[54])/11 + (32899*s[55])/66 + 
       (7529*s[56])/66 - (83257*s[57])/396 + (163225*s[58])/594 - 
       (323921*s[59])/1188 - (1148473*s[60])/792 + (1302889*s[61])/21384 + 
       s[68]/2 - s[69]/2 - s[73] - s[77]/2 + (3*s[82])/2) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*
      ((-51*s[4])/8 - (815*s[5])/88 - (801*s[6])/44 - (96643*s[7])/528 + 
       (6569*s[8])/594 + (34621*s[9])/216 + (10631*s[10])/216 + 
       (328811*s[11])/1584 + (22840*s[12])/99 + (224669*s[13])/1584 + 
       (35039*s[14])/1584 + (33409*s[15])/144 + (30539*s[16])/99 + 
       (346739*s[17])/1584 + (22493*s[18])/648 + (18229*s[19])/648 + 
       (2614813*s[20])/7128 + (1924379*s[21])/14256 - (1405609*s[22])/14256 - 
       (150455*s[23])/792 - (1478711*s[24])/7128 + (33669227*s[25])/128304 - 
       (18511283*s[26])/128304 + s[33]/4 - (3*s[35])/2 + s[36]/3 - 
       (5*s[37])/4 - 10*s[38] + (253*s[39])/8 - (827*s[40])/24 + 
       (209*s[41])/8 - (1015*s[42])/24 - (7573*s[43])/264 + 
       (15383*s[44])/528 - (1499*s[45])/88 + (22559*s[46])/132 - 
       (16477*s[47])/1584 - (10999*s[48])/1584 + (209899*s[49])/1584 - 
       (16901*s[50])/132 - (48671*s[51])/1584 - (38405*s[52])/1584 + 
       (14777*s[53])/198 + (1267*s[54])/66 + (241613*s[55])/528 + 
       (167809*s[56])/1584 - (187991*s[57])/594 + (4262741*s[58])/14256 - 
       (4225733*s[59])/14256 - (13577767*s[60])/9504 + (868699*s[61])/16038 - 
       s[77] - s[79] - s[80]/2 + (3*s[82])/2) + HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - v]*Phi6[u, v, w]*(-s[39] + s[40] - s[41] + (3*s[42])/2 + 
       (3*s[43])/2 - s[44] - s[45] + (5*s[47])/12 + (11*s[48])/12 - 
       (65*s[49])/12 - s[50]/2 + (17*s[51])/12 + s[52]/3 + (71*s[55])/12 + 
       (47*s[56])/12 + (37*s[57])/9 + (25*s[58])/108 + (47*s[59])/108 + 
       (323*s[60])/72 + (655*s[61])/243 + (13*s[82])/6) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*Phi6[u, v, w]*
      ((-7*s[38])/4 + (151*s[39])/24 - (163*s[40])/24 + (17*s[41])/3 - 
       (37*s[42])/4 - (1841*s[43])/264 + (2611*s[44])/528 - (757*s[45])/88 + 
       (7595*s[46])/132 - (381*s[47])/176 + (551*s[48])/528 + 
       (4531*s[49])/176 - (11635*s[50])/264 - (9041*s[51])/1584 - 
       (2831*s[52])/528 + (3526*s[53])/99 - (531*s[54])/88 + 
       (38531*s[55])/176 + (81533*s[56])/1584 - (23101*s[57])/2376 + 
       (1120303*s[58])/14256 - (1243909*s[59])/14256 - (1484213*s[60])/3168 + 
       (1652273*s[61])/64152 + (13*s[82])/6) + HPL[{0, 1}, 1 - u]*J1[u, v, w]*
      (s[2]/8 - (11*s[3])/4 - (147*s[4])/32 - (1817*s[5])/352 - 
       (911*s[6])/88 - (146261*s[7])/2112 + (119*s[8])/22 + (1795*s[9])/32 + 
       (587*s[10])/32 + (50887*s[11])/704 + (12689*s[12])/176 + 
       (85015*s[13])/2112 + (14571*s[14])/704 + (21121*s[15])/192 + 
       (130883*s[16])/1056 + (249005*s[17])/2112 + (5465*s[18])/288 + 
       (2059*s[19])/288 + (473371*s[20])/3168 + (385819*s[21])/6336 - 
       (71131*s[22])/2112 - (55571*s[23])/528 - (3283*s[24])/44 + 
       (4925395*s[25])/57024 - (3148399*s[26])/57024 - s[32] - s[37]/16 - 
       (13*s[38])/8 + (107*s[39])/16 - (109*s[40])/16 + (87*s[41])/16 - 
       (37*s[42])/4 - (1623*s[43])/176 + (2327*s[44])/352 - (223*s[45])/22 + 
       (12797*s[46])/176 - (991*s[47])/1056 - (1981*s[48])/1056 + 
       (30319*s[49])/1056 - (4439*s[50])/88 - (2029*s[51])/352 - 
       (5111*s[52])/1056 + (1975*s[53])/44 - (1159*s[54])/88 + 
       (301219*s[55])/1056 + (79493*s[56])/1056 - (448*s[57])/99 + 
       (946705*s[58])/9504 - (1085683*s[59])/9504 - (3773545*s[60])/6336 + 
       (2833819*s[61])/85536 + s[68]/8 + (5*s[69])/8 + s[73]/4 + 
       (7*s[77])/8 + (21*s[82])/8) + HPL[{0, 1}, 1 - v]*J1[w, u, v]*
      ((-315*s[4])/32 - (177*s[5])/176 - (949*s[6])/352 - 
       (109961*s[7])/2112 + (5657*s[8])/1056 + (2093*s[9])/48 + 
       (317*s[10])/24 + (39315*s[11])/704 + (21407*s[12])/352 + 
       (77425*s[13])/2112 + (1789*s[14])/704 + (15067*s[15])/192 + 
       (45757*s[16])/528 + (152447*s[17])/2112 + (89*s[18])/36 + 
       (4091*s[19])/288 + (325817*s[20])/3168 + (66625*s[21])/2112 - 
       (178039*s[22])/6336 - (62731*s[23])/1056 - (199163*s[24])/3168 + 
       (710131*s[25])/9504 - (345325*s[26])/9504 - s[33]/2 + (15*s[35])/8 + 
       (11*s[36])/24 - s[37]/3 - (7*s[38])/4 + (95*s[39])/16 - 
       (361*s[40])/48 + (95*s[41])/16 - (413*s[42])/48 - (3533*s[43])/528 + 
       (7207*s[44])/1056 - (2989*s[45])/528 + (2249*s[46])/44 + 
       (139*s[47])/3168 - (2567*s[48])/3168 + (79157*s[49])/3168 - 
       (22697*s[50])/528 - (14899*s[51])/3168 - (14053*s[52])/3168 + 
       (7891*s[53])/264 - (159*s[54])/22 + (210581*s[55])/1056 + 
       (156217*s[56])/3168 + (6839*s[57])/2376 + (2036621*s[58])/28512 - 
       (2307017*s[59])/28512 - (9554723*s[60])/19008 + (963335*s[61])/64152 + 
       (3*s[68])/4 + (3*s[77])/2 - (11*s[79])/4 + (5*s[80])/6 + 
       (21*s[82])/8) + A3[v, w, u]*HPL[{1}, 1 - v]*(s[38] + s[41] - s[42] + 
       (18*s[43])/11 - (29*s[44])/22 + (6*s[45])/11 - (34*s[46])/11 - 
       (92*s[47])/33 + (172*s[48])/33 - (274*s[49])/33 + (25*s[50])/11 - 
       (42*s[51])/11 - (89*s[52])/66 - (73*s[53])/33 - (53*s[54])/11 - 
       (493*s[55])/33 + (83*s[56])/33 - (2498*s[57])/99 + (1390*s[58])/297 + 
       (266*s[59])/297 + (5906*s[60])/99 + (13247*s[61])/5346 + 3*s[82]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*K1[u, v, w]*(-s[37] - (5*s[38])/2 + 
       (39*s[39])/4 - (39*s[40])/4 + (17*s[41])/2 - 14*s[42] - 
       (325*s[43])/44 + (611*s[44])/88 - (629*s[45])/44 + (1024*s[46])/11 - 
       (1673*s[47])/264 + (1561*s[48])/264 + (8231*s[49])/264 - 
       (3169*s[50])/44 - (2633*s[51])/264 - (2317*s[52])/264 + 
       (1778*s[53])/33 - (327*s[54])/44 + (30637*s[55])/88 + 
       (7915*s[56])/88 - (1646*s[57])/33 + (37427*s[58])/264 - 
       (38305*s[59])/264 - (1174751*s[60])/1584 + (167231*s[61])/3564 + 
       3*s[82]) + H1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      (-s[39] + s[40] - s[41] + (3*s[42])/2 + (5*s[43])/2 - s[44] - s[45] + 
       s[47]/4 + (3*s[48])/4 - (29*s[49])/4 - (3*s[50])/2 + (11*s[51])/12 + 
       (85*s[55])/12 + (19*s[56])/4 - (13*s[57])/3 + (101*s[58])/36 - 
       (65*s[59])/36 + (247*s[60])/24 + (293*s[61])/81 + 4*s[82]) + 
     H1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*(3*s[39] - 3*s[40] + 
       3*s[41] - (9*s[42])/2 - (125*s[43])/22 + (57*s[44])/22 - 
       (41*s[45])/11 + (346*s[46])/11 - (151*s[47])/132 - (85*s[48])/132 + 
       (2059*s[49])/132 - (503*s[50])/22 - (205*s[51])/44 - (127*s[52])/66 + 
       (250*s[53])/11 - (98*s[54])/11 + (17263*s[55])/132 + 
       (3587*s[56])/132 + (2656*s[57])/99 + (37969*s[58])/1188 - 
       (50101*s[59])/1188 - (203185*s[60])/792 + (67613*s[61])/5346 + 
       4*s[82]) + F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      (-s[42]/2 + (10*s[43])/11 - (21*s[44])/22 - (445*s[45])/44 + 
       (1847*s[46])/44 - (59*s[47])/132 + (733*s[48])/132 - (769*s[49])/132 - 
       (387*s[50])/11 - (31*s[51])/44 - (40*s[52])/33 + (4151*s[53])/132 - 
       (219*s[54])/22 + (27997*s[55])/132 + (7805*s[56])/132 + 
       (4078*s[57])/99 + (15544*s[58])/297 - (67351*s[59])/1188 - 
       (127249*s[60])/396 + (652193*s[61])/21384 + (9*s[82])/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*K1[v, w, u]*((-5*s[38])/2 + 
       (23*s[39])/2 - (25*s[40])/2 + (41*s[41])/4 - (71*s[42])/4 - 
       (195*s[43])/22 + (305*s[44])/44 - (175*s[45])/22 + (1351*s[46])/22 - 
       (797*s[47])/132 + (919*s[48])/132 + (4085*s[49])/132 - 
       (1957*s[50])/44 - (315*s[51])/22 - (1597*s[52])/132 + 
       (2285*s[53])/66 - (795*s[54])/44 + (26551*s[55])/132 + 
       (2373*s[56])/44 - (12325*s[57])/132 + (3485*s[58])/33 - 
       (14359*s[59])/132 - (342449*s[60])/792 + (22798*s[61])/891 + 
       6*s[82]) + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*Phi6[u, v, w]*
      ((-33*s[39])/2 + (45*s[40])/2 - (33*s[41])/2 + (55*s[42])/2 + 
       (41*s[43])/2 - (41*s[44])/2 + (139*s[45])/4 - (871*s[46])/4 + 
       (151*s[47])/24 + (235*s[48])/24 - (1621*s[49])/24 + (617*s[50])/4 + 
       (655*s[51])/24 + (77*s[52])/6 - 127*s[53] + 44*s[54] - 
       (19465*s[55])/24 - (5759*s[56])/24 + (496*s[57])/9 - 
       (66325*s[58])/216 + (67333*s[59])/216 + (239437*s[60])/144 - 
       (231937*s[61])/1944 + 10*s[82]) + H1[u, v, w]*HPL[{0, 1}, 1 - u]*
      (-s[2]/2 - 13*s[3] - (213*s[4])/8 - (1511*s[5])/88 - (1195*s[6])/22 - 
       (170587*s[7])/528 + (2810*s[8])/99 + (18485*s[9])/72 + 
       (5005*s[10])/72 + (185851*s[11])/528 + (50273*s[12])/132 + 
       (40899*s[13])/176 + (26431*s[14])/528 + (21455*s[15])/48 + 
       (48143*s[16])/88 + (234659*s[17])/528 + (16573*s[18])/216 + 
       (6839*s[19])/216 + (1514759*s[20])/2376 + (1169407*s[21])/4752 - 
       (750653*s[22])/4752 - (22267*s[23])/44 - (98423*s[24])/297 + 
       (19281175*s[25])/42768 - (11151619*s[26])/42768 - 2*s[32] - 
       (7*s[37])/4 - (19*s[38])/2 + (165*s[39])/4 - (179*s[40])/4 + 
       (129*s[41])/4 - 59*s[42] - (1849*s[43])/44 + (3257*s[44])/88 - 
       (540*s[45])/11 + (15771*s[46])/44 - (1339*s[47])/88 - (305*s[48])/88 + 
       (13147*s[49])/88 - (5237*s[50])/22 - (10601*s[51])/264 - 
       (3235*s[52])/88 + (2113*s[53])/11 - (1493*s[54])/22 + 
       (107903*s[55])/88 + (32649*s[56])/88 - (3477*s[57])/11 + 
       (50541*s[58])/88 - (51559*s[59])/88 - (1454765*s[60])/528 + 
       (15079*s[61])/88 - s[68]/2 + (3*s[69])/2 - s[73] + s[77]/2 + 
       (27*s[82])/2) + H1[w, u, v]*HPL[{0, 1}, 1 - v]*
      ((-269*s[4])/8 - (233*s[5])/44 - (2855*s[6])/88 - (153911*s[7])/528 + 
       (73699*s[8])/2376 + (25861*s[9])/108 + (1709*s[10])/27 + 
       (513421*s[11])/1584 + (290341*s[12])/792 + (365869*s[13])/1584 + 
       (8299*s[14])/1584 + (54695*s[15])/144 + (186817*s[16])/396 + 
       (542563*s[17])/1584 + (6055*s[18])/162 + (32429*s[19])/648 + 
       (3816935*s[20])/7128 + (2453629*s[21])/14256 - (2192273*s[22])/14256 - 
       (319879*s[23])/792 - (2260765*s[24])/7128 + (28064417*s[25])/64152 - 
       (13825931*s[26])/64152 + (9*s[35])/2 + (3*s[36])/2 - (7*s[37])/3 - 
       9*s[38] + (171*s[39])/4 - (207*s[40])/4 + (163*s[41])/4 - 
       (259*s[42])/4 - (1655*s[43])/44 + (3613*s[44])/88 - (4405*s[45])/132 + 
       (10216*s[46])/33 - (3959*s[47])/264 + (67*s[48])/264 + 
       (38915*s[49])/264 - (10317*s[50])/44 - (12569*s[51])/264 - 
       (10135*s[52])/264 + (31693*s[53])/198 - (1952*s[54])/33 + 
       (89703*s[55])/88 + (241913*s[56])/792 - (206993*s[57])/594 + 
       (3640381*s[58])/7128 - (3635089*s[59])/7128 - (1355539*s[60])/528 + 
       (1983925*s[61])/16038 + s[68] + 2*s[77] - 13*s[79] + (16*s[80])/3 + 
       (27*s[82])/2) + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*Phi6[u, v, w]*
      (10*s[3] + (33*s[4])/2 + (1465*s[5])/44 + (889*s[6])/11 + 
       (147559*s[7])/264 - (15101*s[8])/396 - (17023*s[9])/36 - 
       (1529*s[10])/9 - (39257*s[11])/66 - (163345*s[12])/264 - 
       (95311*s[13])/264 - (46661*s[14])/264 - (18347*s[15])/24 - 
       (31970*s[16])/33 - (36263*s[17])/44 - (6871*s[18])/54 - 
       (1651*s[19])/27 - (1436833*s[20])/1188 - (1118033*s[21])/2376 + 
       (683761*s[22])/2376 + (130973*s[23])/264 + (1433161*s[24])/2376 - 
       (7679323*s[25])/10692 + (4775833*s[26])/10692 - s[32] - 2*s[38] - 
       53*s[39] + 75*s[40] - 54*s[41] + 90*s[42] + (754*s[43])/11 - 
       (3367*s[44])/44 + (3865*s[45])/22 - (21997*s[46])/22 + 
       (191*s[47])/22 + (1225*s[48])/22 - (6139*s[49])/22 + 
       (16447*s[50])/22 + (1501*s[51])/22 + (2245*s[52])/44 - 
       (18530*s[53])/33 + (1196*s[54])/11 - (246901*s[55])/66 - 
       (73421*s[56])/66 + (25457*s[57])/198 - (843877*s[58])/594 + 
       (407426*s[59])/297 + (266987*s[60])/33 - (3110029*s[61])/5346 + 
       94*s[82]) + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*Phi6[u, v, w]*
      ((15*s[4])/2 - (521*s[5])/44 + (103*s[6])/11 - (7245*s[7])/88 - 
       (25147*s[8])/1188 + (10543*s[9])/108 + (2923*s[10])/54 + 
       (29731*s[11])/396 + (34741*s[12])/792 + (13913*s[13])/792 + 
       (50297*s[14])/792 + (12637*s[15])/72 + (64171*s[16])/396 + 
       (18319*s[17])/99 + (3335*s[18])/324 + (10801*s[19])/324 + 
       (231157*s[20])/891 + (822791*s[21])/7128 - (358771*s[22])/7128 + 
       (96923*s[23])/792 - (930547*s[24])/7128 + (458644*s[25])/8019 - 
       (535738*s[26])/8019 - (3*s[33])/2 + 2*s[34] + (11*s[36])/3 + 
       (16*s[37])/3 - 9*s[38] - (61*s[39])/4 + (283*s[40])/12 - 
       (59*s[41])/4 + (437*s[42])/12 - (271*s[43])/132 - (677*s[44])/33 - 
       (62*s[45])/33 - (4209*s[46])/44 + (7693*s[47])/396 - 
       (2803*s[48])/198 - (11089*s[49])/396 + (4657*s[50])/66 + 
       (1940*s[51])/99 + (1271*s[52])/396 - (7133*s[53])/132 + 
       (625*s[54])/11 - (18517*s[55])/66 - (54335*s[56])/396 + 
       (305273*s[57])/1188 - (318947*s[58])/1782 + (261887*s[59])/1782 + 
       (1430761*s[60])/2376 - (1840945*s[61])/32076 + s[71] + 12*s[79] - 
       (40*s[80])/3 + 94*s[82]) + A10[w, u, v]*HPL[{1}, 1 - u]*
      (-36*s[82] - 3*s[83]) + A10[w, u, v]*HPL[{1}, 1 - v]*
      (3*s[35] + (15*s[36])/2 + s[37]/2 - (87*s[38])/2 + (2391*s[39])/8 - 
       (2515*s[40])/8 + (1937*s[41])/8 - (3761*s[42])/8 - (15001*s[43])/88 + 
       (43689*s[44])/176 - (774*s[45])/11 + (121471*s[46])/88 - 
       (91987*s[47])/528 + (66611*s[48])/528 + (488833*s[49])/528 - 
       (22895*s[50])/22 - (51043*s[51])/176 - (120551*s[52])/528 + 
       (92393*s[53])/132 - (918*s[54])/11 + (676367*s[55])/176 + 
       (177801*s[56])/176 - (204811*s[57])/66 + (447987*s[58])/176 - 
       (1344787*s[59])/528 - (31721731*s[60])/3168 + (7310195*s[61])/14256 + 
       2*s[65] + 4*s[66] - 6*s[67] - 4*s[68] - 10*s[69] - 3*s[71] - 6*s[72] + 
       3*s[73] + (9*s[74])/2 - (9*s[75])/2 - 2*s[76] + 3*s[77] - 7*s[78] + 
       14*s[80] - 36*s[82] - 3*s[83]) + G[u, v, w]*HPL[{0, 1}, 1 - u]*
      ((7*s[2])/2 + 72*s[3] + 150*s[4] + (1933*s[5])/22 + (3152*s[6])/11 + 
       (511265*s[7])/264 - (43163*s[8])/297 - (84941*s[9])/54 - 
       (24301*s[10])/54 - (1728095*s[11])/792 - (240467*s[12])/99 - 
       (1216889*s[13])/792 - (143075*s[14])/792 - (179047*s[15])/72 - 
       (320218*s[16])/99 - (1887695*s[17])/792 - (64891*s[18])/162 - 
       (85117*s[19])/324 - (3328150*s[20])/891 - (9963467*s[21])/7128 + 
       (6986905*s[22])/7128 + (524731*s[23])/198 + (3651661*s[24])/1782 - 
       (181713467*s[25])/64152 + (100586855*s[26])/64152 + 2*s[29] + 
       2*s[31] + (3*s[32])/2 + 3*s[33] - 4*s[34] + 14*s[37] + 78*s[38] - 
       274*s[39] + 302*s[40] - (417*s[41])/2 + (761*s[42])/2 + 
       (2577*s[43])/11 - (2592*s[44])/11 + (5579*s[45])/22 - 
       (41837*s[46])/22 + (7651*s[47])/66 + (1315*s[48])/66 - 
       (65281*s[49])/66 + (28557*s[50])/22 + (8405*s[51])/33 + 
       (8095*s[52])/33 - (29494*s[53])/33 + (4177*s[54])/22 - 
       (379657*s[55])/66 - (38767*s[56])/22 + (125085*s[57])/44 - 
       (662345*s[58])/198 + (639605*s[59])/198 + (2930429*s[60])/198 - 
       (1514665*s[61])/1782 + 3*s[68] - s[69] - s[70] + 2*s[73] - s[76] + 
       9*s[77] + 18*s[82] + (3*s[83])/2) + G[u, v, w]*HPL[{0, 1}, 1 - v]*
      ((3*s[2])/2 + (3*s[3])/4 + (915*s[4])/8 + (319*s[5])/8 + (747*s[6])/4 + 
       (75773*s[7])/48 - (12919*s[8])/108 - (286001*s[9])/216 - 
       (80173*s[10])/216 - (257363*s[11])/144 - (146651*s[12])/72 - 
       (187823*s[13])/144 - (13361*s[14])/144 - (276437*s[15])/144 - 
       (91781*s[16])/36 - (249563*s[17])/144 - (174871*s[18])/648 - 
       (143651*s[19])/648 - (1927489*s[20])/648 - (1314857*s[21])/1296 + 
       (1092703*s[22])/1296 + (72289*s[23])/36 + (139189*s[24])/81 - 
       (27475799*s[25])/11664 + (14093483*s[26])/11664 + 3*s[29] + 2*s[31] + 
       (9*s[33])/4 - 3*s[34] - s[35] - (59*s[36])/12 + 23*s[37] + 
       (413*s[38])/4 - (5215*s[39])/16 + (18473*s[40])/48 - (4493*s[41])/16 + 
       (21115*s[42])/48 + (173011*s[43])/528 - (339221*s[44])/1056 + 
       (35719*s[45])/88 - (1492867*s[46])/528 + (223471*s[47])/3168 + 
       (428269*s[48])/3168 - (4368613*s[49])/3168 + (276085*s[50])/132 + 
       (966737*s[51])/3168 + (893231*s[52])/3168 - (278365*s[53])/198 + 
       (12233*s[54])/132 - (3289125*s[55])/352 - (8487631*s[56])/3168 + 
       (6595555*s[57])/2376 - (129817793*s[58])/28512 + 
       (128316251*s[59])/28512 + (446401387*s[60])/19008 - 
       (319365821*s[61])/256608 + s[65] + 2*s[66] - 4*s[67] - 3*s[68] - 
       6*s[69] - 2*s[70] - s[71] - 4*s[72] + (5*s[73])/2 + s[74] - s[75] - 
       9*s[76] + 10*s[77] + (3*s[78])/2 + 64*s[79] - (31*s[80])/2 + 
       18*s[82] + (3*s[83])/2) + A10[u, v, w]*HPL[{1}, 1 - u]*
      (36*s[82] + 3*s[83]) + A10[v, w, u]*HPL[{1}, 1 - v]*
      ((-23*s[36])/2 + (27*s[37])/2 + (137*s[38])/2 - (1841*s[39])/8 + 
       (1965*s[40])/8 - (1423*s[41])/8 + (2491*s[42])/8 + (18607*s[43])/88 - 
       (36977*s[44])/176 + (3512*s[45])/11 - (184353*s[46])/88 + 
       (38083*s[47])/528 + (13993*s[48])/528 - (516145*s[49])/528 + 
       (34741*s[50])/22 + (102469*s[51])/528 + (92099*s[52])/528 - 
       (75247*s[53])/66 - (1219*s[54])/22 - (3907745*s[55])/528 - 
       (345769*s[56])/176 + (197981*s[57])/132 - (1706017*s[58])/528 + 
       (1755383*s[59])/528 + (54328555*s[60])/3168 - (13935401*s[61])/14256 - 
       3*s[73] - s[74] + s[75] - 6*s[76] + 7*s[78] + 6*s[80] + 36*s[82] + 
       3*s[83]) + HPL[{0, 1}, 1 - u]*K1[u, v, w]*((-7*s[2])/2 - (65*s[3])/2 - 
       129*s[4] - (313*s[5])/4 - (861*s[6])/4 - (42833*s[7])/24 + 
       (8149*s[8])/54 + (159281*s[9])/108 + (47539*s[10])/108 + 
       (35741*s[11])/18 + (19718*s[12])/9 + (24089*s[13])/18 + 
       (2807*s[14])/18 + (169931*s[15])/72 + (216383*s[16])/72 + 
       (41189*s[17])/18 + (55337*s[18])/162 + (87995*s[19])/324 + 
       (279955*s[20])/81 + (102121*s[21])/81 - (74543*s[22])/81 - 
       (167755*s[23])/72 - (1243585*s[24])/648 + (7470871*s[25])/2916 - 
       (1014709*s[26])/729 - s[30] - 2*s[31] - 2*s[32] - 2*s[33] + 4*s[34] + 
       s[35] + (13*s[36])/2 - (37*s[37])/4 - (141*s[38])/2 + (2183*s[39])/8 - 
       (2347*s[40])/8 + (1773*s[41])/8 - (3113*s[42])/8 - (19793*s[43])/88 + 
       (41837*s[44])/176 - (19563*s[45])/88 + (20442*s[46])/11 - 
       (19997*s[47])/176 + (1893*s[48])/176 + (179143*s[49])/176 - 
       (60647*s[50])/44 - (139501*s[51])/528 - (38625*s[52])/176 + 
       (126535*s[53])/132 - (3519*s[54])/44 + (3146873*s[55])/528 + 
       (845747*s[56])/528 - (899069*s[57])/396 + (14506555*s[58])/4752 - 
       (14647387*s[59])/4752 - (5225757*s[60])/352 + (16690109*s[61])/21384 + 
       s[65]/2 + s[66] - 2*s[67] - 3*s[68] - 2*s[69] - s[70] - s[71]/2 - 
       2*s[72] + 6*s[73] + (3*s[74])/2 - (3*s[75])/2 + 2*s[76] + 2*s[77] - 
       4*s[78] - 8*s[79] + (5*s[80])/2 + 9*s[82] - (3*s[83])/2 - 3*s[84]) + 
     HPL[{0, 1}, 1 - v]*K1[w, u, v]*((3*s[3])/2 - (389*s[4])/4 - 
       (1461*s[5])/44 - (2391*s[6])/22 - (296467*s[7])/264 + 
       (29377*s[8])/297 + (101855*s[9])/108 + (29203*s[10])/108 + 
       (995557*s[11])/792 + (560815*s[12])/396 + (689437*s[13])/792 + 
       (34675*s[14])/792 + (104285*s[15])/72 + (183809*s[16])/99 + 
       (1056853*s[17])/792 + (56725*s[18])/324 + (61259*s[19])/324 + 
       (7628285*s[20])/3564 + (5133655*s[21])/7128 - (4270241*s[22])/7128 - 
       (566605*s[23])/396 - (2210183*s[24])/1782 + (106314289*s[25])/64152 - 
       (54038437*s[26])/64152 - 2*s[33] + s[34] + 3*s[35] + (17*s[36])/6 - 
       (27*s[37])/4 - 48*s[38] + (1477*s[39])/8 - (5075*s[40])/24 + 
       (1333*s[41])/8 - (6415*s[42])/24 - (41329*s[43])/264 + 
       (91115*s[44])/528 - (12297*s[45])/88 + (83065*s[46])/66 - 
       (98509*s[47])/1584 - (19375*s[48])/1584 + (1117447*s[49])/1584 - 
       (32390*s[50])/33 - (303671*s[51])/1584 - (241313*s[52])/1584 + 
       (63781*s[53])/99 - (1258*s[54])/33 + (2150057*s[55])/528 + 
       (1683985*s[56])/1584 - (1744603*s[57])/1188 + (29033261*s[58])/14256 - 
       (29283857*s[59])/14256 - (99519763*s[60])/9504 + 
       (31026433*s[61])/64152 + s[68] + s[74] - s[75] + 2*s[77] - 34*s[79] + 
       (19*s[80])/2 + 9*s[82] - (3*s[83])/2 - 3*s[84]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*Phi6[u, v, w]*
      (4*s[36] - (25*s[37])/6 - 29*s[38] + (969*s[39])/8 - (1093*s[40])/8 + 
       (827*s[41])/8 - (1403*s[42])/8 - (9145*s[43])/88 + (9869*s[44])/88 - 
       (56009*s[45])/528 + (455339*s[46])/528 - (46777*s[47])/1056 - 
       (8101*s[48])/1056 + (492331*s[49])/1056 - (113965*s[50])/176 - 
       (126025*s[51])/1056 - (26219*s[52])/264 + (178657*s[53])/396 - 
       (16873*s[54])/528 + (2975893*s[55])/1056 + (2408533*s[56])/3168 - 
       (4855307*s[57])/4752 + (40312595*s[58])/28512 - 
       (40792871*s[59])/28512 - (14527303*s[60])/2112 + 
       (95382041*s[61])/256608 - s[71]/4 + 2*s[73] + s[74]/2 - s[75]/2 + 
       2*s[76] - 2*s[78] - (11*s[79])/2 + (13*s[80])/6 - 10*s[82] - s[83] - 
       2*s[84]) + G[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      (-33*s[82] - (3*s[83])/4 - (3*s[84])/2) + G[u, v, w]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*((9*s[36])/2 - (9*s[37])/2 - (31*s[38])/2 + 
       (357*s[39])/8 - (369*s[40])/8 + (239*s[41])/8 - (419*s[42])/8 - 
       (4347*s[43])/88 + (8901*s[44])/176 - (4305*s[45])/44 + 
       (51727*s[46])/88 + (303*s[47])/176 - (7331*s[48])/176 + 
       (45379*s[49])/176 - (4923*s[50])/11 - (13117*s[51])/528 - 
       (4413*s[52])/176 + (42307*s[53])/132 + (755*s[54])/11 + 
       (1132397*s[55])/528 + (296819*s[56])/528 - (12263*s[57])/99 + 
       (3934825*s[58])/4752 - (4031971*s[59])/4752 - (1785255*s[60])/352 + 
       (11864893*s[61])/42768 + s[73] + s[74]/2 - s[75]/2 + 2*s[76] - 
       3*s[78] - 3*s[79] - s[80] - 33*s[82] - (3*s[83])/4 - (3*s[84])/2) + 
     F1[w, u, v]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*(-9*s[82] - (3*s[83])/4 - 
       (3*s[84])/2) + F1[w, u, v]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      ((9*s[36])/2 - (11*s[37])/2 - (47*s[38])/2 + (649*s[39])/8 - 
       (677*s[40])/8 + (501*s[41])/8 - (877*s[42])/8 - (569*s[43])/8 + 
       (1169*s[44])/16 - (221*s[45])/2 + (5907*s[46])/8 - (1249*s[47])/48 - 
       (475*s[48])/48 + (16147*s[49])/48 - (1117*s[50])/2 - (3379*s[51])/48 - 
       (2855*s[52])/48 + (803*s[53])/2 + (113*s[54])/4 + (124735*s[55])/48 + 
       (33209*s[56])/48 - (19631*s[57])/36 + (492655*s[58])/432 - 
       (503869*s[59])/432 - (1742449*s[60])/288 + (1319623*s[61])/3888 + 
       s[73] + s[74]/2 - s[75]/2 + 2*s[76] - 3*s[78] - 3*s[79] - s[80] - 
       9*s[82] - (3*s[83])/4 - (3*s[84])/2) + F1[u, v, w]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*(-6*s[82] - (3*s[83])/4 - (3*s[84])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*Phi6[u, v, w]*
      (-6*s[82] - (3*s[83])/4 - (3*s[84])/2) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^2*Phi6[u, v, w]*((9*s[36])/2 - (11*s[37])/2 - 
       23*s[38] + (625*s[39])/8 - (653*s[40])/8 + (477*s[41])/8 - 
       (845*s[42])/8 - (5901*s[43])/88 + (12171*s[44])/176 - 
       (4883*s[45])/44 + (63741*s[46])/88 - (14717*s[47])/528 - 
       (3563*s[48])/528 + (167351*s[49])/528 - (24051*s[50])/44 - 
       (36307*s[51])/528 - (31453*s[52])/528 + (34505*s[53])/88 + 
       (1071*s[54])/44 + (448501*s[55])/176 + (365545*s[56])/528 - 
       (111035*s[57])/198 + (5383223*s[58])/4752 - (5452145*s[59])/4752 - 
       (18726317*s[60])/3168 + (14533025*s[61])/42768 + s[73] + s[74]/2 - 
       s[75]/2 + 2*s[76] - 3*s[78] - 3*s[79] - s[80] - 6*s[82] - 
       (3*s[83])/4 - (3*s[84])/2) + F1[v, w, u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*((9*s[36])/2 - (11*s[37])/2 - 23*s[38] + 
       (625*s[39])/8 - (653*s[40])/8 + (477*s[41])/8 - (845*s[42])/8 - 
       (5991*s[43])/88 + (12151*s[44])/176 - (5195*s[45])/44 + 
       (66419*s[46])/88 - (4753*s[47])/176 - (1123*s[48])/176 + 
       (56323*s[49])/176 - (12571*s[50])/22 - (12027*s[51])/176 - 
       (10611*s[52])/176 + (27301*s[53])/66 + (857*s[54])/44 + 
       (474535*s[55])/176 + (384427*s[56])/528 - (199831*s[57])/396 + 
       (5516393*s[58])/4752 - (5612567*s[59])/4752 - (6514085*s[60])/1056 + 
       (15324119*s[61])/42768 + s[73] + s[74]/2 - s[75]/2 + 2*s[76] - 
       3*s[78] - 3*s[79] - s[80] - 6*s[82] - (3*s[83])/4 - (3*s[84])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*K1[w, u, v]*(-s[36]/2 - s[37]/4 + 
       (3*s[39])/8 + s[40]/8 + (3*s[41])/8 - (11*s[42])/8 + (25*s[43])/8 - 
       (19*s[44])/16 - s[45]/8 - (33*s[47])/16 + (101*s[48])/16 - 
       (125*s[49])/16 - 3*s[50] - (35*s[51])/16 - (13*s[52])/16 + 
       (35*s[55])/16 + (53*s[56])/16 - (347*s[57])/12 + (1213*s[58])/144 - 
       (745*s[59])/144 + (2377*s[60])/96 + (2423*s[61])/648 - s[80]/2 + 
       2*s[82] - s[83]/2 - s[84]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      K1[u, v, w]*(s[35] + (5*s[36])/2 - (59*s[37])/12 - 28*s[38] + 
       (977*s[39])/8 - (1013*s[40])/8 + (757*s[41])/8 - (1425*s[42])/8 - 
       (725*s[43])/8 + (1605*s[44])/16 - (1853*s[45])/24 + (4463*s[46])/6 - 
       (2963*s[47])/48 + (1339*s[48])/48 + (20321*s[49])/48 - 546*s[50] - 
       (5677*s[51])/48 - (4603*s[52])/48 + (27307*s[53])/72 - 
       (551*s[54])/12 + (36579*s[55])/16 + (89293*s[56])/144 - 
       (29044*s[57])/27 + (1620365*s[58])/1296 - (1622849*s[59])/1296 - 
       (1677949*s[60])/288 + (1751827*s[61])/5832 + s[65]/2 + s[66] - 
       2*s[67] - 2*s[68] - 3*s[69] - s[71]/2 - 2*s[72] + 2*s[73] + s[74] - 
       s[75] - 2*s[78] - 4*s[79] + (19*s[80])/6 + 2*s[82] - s[83]/2 - 
       s[84]) + HPL[{1}, 1 - u]^2*K1[u, v, w]*(-3*s[82] - (3*s[83])/8 - 
       (3*s[84])/4) + HPL[{1}, 1 - v]^2*K1[w, u, v]*(s[35]/2 + (5*s[36])/4 + 
       s[37]/3 - (43*s[38])/4 + (977*s[39])/16 - (1053*s[40])/16 + 
       (863*s[41])/16 - (1527*s[42])/16 - (597*s[43])/16 + (1717*s[44])/32 - 
       (431*s[45])/24 + (14383*s[46])/48 - (3067*s[47])/96 + 
       (1931*s[48])/96 + (19537*s[49])/96 - (951*s[50])/4 - (6241*s[51])/96 - 
       (4355*s[52])/96 + (11395*s[53])/72 - (2*s[54])/3 + (85753*s[55])/96 + 
       (59993*s[56])/288 - (29945*s[57])/54 + (1337563*s[58])/2592 - 
       (1374445*s[59])/2592 - (1311383*s[60])/576 + (2446261*s[61])/23328 + 
       s[65]/4 + s[66] - s[67] - s[68]/2 - 2*s[69] - s[71]/4 - s[72] + 
       s[73]/2 + s[74] - s[75] - s[76] + s[77] - (3*s[78])/2 - (3*s[79])/2 + 
       (5*s[80])/3 - 3*s[82] - (3*s[83])/8 - (3*s[84])/4) + 
     F1[w, u, v]*HPL[{1}, 1 - u]^3*(3*s[82] + (3*s[83])/8 + (3*s[84])/4) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*Phi6[u, v, w]*(3*s[82] + (3*s[83])/8 + 
       (3*s[84])/4) + F1[w, u, v]*HPL[{1}, 1 - v]^3*(-s[35]/2 - (5*s[36])/4 - 
       s[37]/3 + (127*s[38])/12 - (2987*s[39])/48 + (3215*s[40])/48 - 
       (2653*s[41])/48 + (4685*s[42])/48 + (19981*s[43])/528 - 
       (57337*s[44])/1056 + (4729*s[45])/264 - (160805*s[46])/528 + 
       (34921*s[47])/1056 - (7683*s[48])/352 - (217403*s[49])/1056 + 
       (15943*s[50])/66 + (70219*s[51])/1056 + (49021*s[52])/1056 - 
       (127685*s[53])/792 + (20*s[54])/11 - (2876153*s[55])/3168 - 
       (673171*s[56])/3168 + (675203*s[57])/1188 - (15001073*s[58])/28512 + 
       (15395111*s[59])/28512 + (14599693*s[60])/6336 - 
       (27442955*s[61])/256608 - s[65]/4 - s[66] + s[67] + s[68]/2 + 
       2*s[69] + s[71]/4 + s[72] - s[73]/2 - s[74] + s[75] + s[76] - s[77] + 
       (3*s[78])/2 + (3*s[79])/2 - (5*s[80])/3 + 3*s[82] + (3*s[83])/8 + 
       (3*s[84])/4) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*Phi6[u, v, w]*
      (-s[35]/2 - (5*s[36])/4 - s[37]/3 + (43*s[38])/4 - (977*s[39])/16 + 
       (1053*s[40])/16 - (863*s[41])/16 + (1527*s[42])/16 + 
       (6423*s[43])/176 - (18743*s[44])/352 + (3877*s[45])/264 - 
       (150005*s[46])/528 + (34505*s[47])/1056 - (21001*s[48])/1056 - 
       (211403*s[49])/1056 + (9861*s[50])/44 + (69083*s[51])/1056 + 
       (47473*s[52])/1056 - (116417*s[53])/792 - (61*s[54])/66 - 
       (862883*s[55])/1056 - (610579*s[56])/3168 + (353587*s[57])/594 - 
       (14431961*s[58])/28512 + (14724911*s[59])/28512 + 
       (13501069*s[60])/6336 - (24733319*s[61])/256608 - s[65]/4 - s[66] + 
       s[67] + s[68]/2 + 2*s[69] + s[71]/4 + s[72] - s[73]/2 - s[74] + 
       s[75] + s[76] - s[77] + (3*s[78])/2 + (3*s[79])/2 - (5*s[80])/3 + 
       3*s[82] + (3*s[83])/8 + (3*s[84])/4) + F1[u, v, w]*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*(6*s[82] + (3*s[83])/8 + (3*s[84])/4) + 
     F1[v, w, u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*(-s[35]/2 - (5*s[36])/4 - 
       s[37]/3 + (43*s[38])/4 - (925*s[39])/16 + (1001*s[40])/16 - 
       (811*s[41])/16 + (1427*s[42])/16 + (6443*s[43])/176 - 
       (18455*s[44])/352 + (5845*s[45])/264 - (161441*s[46])/528 + 
       (29573*s[47])/1056 - (12997*s[48])/1056 - (211391*s[49])/1056 + 
       (2619*s[50])/11 + (62687*s[51])/1056 + (43177*s[52])/1056 - 
       (127007*s[53])/792 - (139*s[54])/66 - (327997*s[55])/352 - 
       (715303*s[56])/3168 + (629141*s[57])/1188 - (14918237*s[58])/28512 + 
       (15320699*s[59])/28512 + (14791081*s[60])/6336 - 
       (28808039*s[61])/256608 - s[65]/4 - s[66] + s[67] + s[68]/2 + 
       2*s[69] + s[71]/4 + s[72] - s[73]/2 - s[74] + s[75] + s[76] - s[77] + 
       (3*s[78])/2 + (3*s[79])/2 - (5*s[80])/3 + 6*s[82] + (3*s[83])/8 + 
       (3*s[84])/4) + G[u, v, w]*HPL[{1}, 1 - u]^2*
      ((33*s[82])/2 + (3*s[83])/8 + (3*s[84])/4) + 
     G[u, v, w]*HPL[{1}, 1 - v]^2*(-s[35]/2 - (5*s[36])/4 - (13*s[37])/12 + 
       (15*s[38])/2 - (809*s[39])/16 + (877*s[40])/16 - (733*s[41])/16 + 
       (1261*s[42])/16 + (5583*s[43])/176 - (17595*s[44])/352 + 
       (1081*s[45])/264 - (117041*s[46])/528 + (20417*s[47])/1056 - 
       (5257*s[48])/1056 - (200819*s[49])/1056 + (16077*s[50])/88 + 
       (53959*s[51])/1056 + (32677*s[52])/1056 - (91265*s[53])/792 - 
       (5983*s[54])/264 - (657443*s[55])/1056 - (364891*s[56])/3168 + 
       (980743*s[57])/2376 - (10318685*s[58])/28512 + 
       (11012423*s[59])/28512 + (11018101*s[60])/6336 - 
       (15320555*s[61])/256608 - s[65]/4 - s[66] + s[67] + s[68]/2 + 
       2*s[69] + s[71]/4 + s[72] - s[73]/2 - s[74] + s[75] + s[76] - s[77] + 
       (3*s[78])/2 + (3*s[79])/2 - (5*s[80])/3 + (33*s[82])/2 + (3*s[83])/8 + 
       (3*s[84])/4) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Phi6[u, v, w]*(-s[35] - (2*s[36])/3 + (71*s[37])/12 + (57*s[38])/2 - 
       124*s[39] + (389*s[40])/3 - (385*s[41])/4 + (2179*s[42])/12 + 
       (5603*s[43])/66 - (54565*s[44])/528 + (2846*s[45])/33 - 
       (34697*s[46])/44 + (51265*s[47])/792 - (24503*s[48])/792 - 
       (338485*s[49])/792 + (154439*s[50])/264 + (94301*s[51])/792 + 
       (147481*s[52])/1584 - (17695*s[53])/44 + (3895*s[54])/88 - 
       (650957*s[55])/264 - (67477*s[56])/99 + (1307077*s[57])/1188 - 
       (4686371*s[58])/3564 + (2329303*s[59])/1782 + (14765975*s[60])/2376 - 
       (42365621*s[61])/128304 - s[65]/2 - s[66] + 2*s[67] + 2*s[68] + 
       3*s[69] + s[71]/2 + 2*s[72] - 2*s[73] - s[74] + s[75] + 2*s[78] + 
       7*s[79] - (25*s[80])/6 + 7*s[82] + s[83]/2 + s[84]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Phi6[u, v, w]*
      (s[36]/2 + (9*s[38])/4 - (73*s[39])/8 + (77*s[40])/8 - (17*s[41])/2 + 
       (29*s[42])/2 + (555*s[43])/88 - (973*s[44])/176 + (185*s[45])/88 - 
       (1351*s[46])/44 + (733*s[47])/176 - (917*s[48])/176 - 
       (4399*s[49])/176 + (2089*s[50])/88 + (2085*s[51])/176 + 
       (1589*s[52])/176 - (2219*s[53])/132 + (751*s[54])/88 - 
       (44137*s[55])/528 - (9475*s[56])/528 + (32023*s[57])/396 - 
       (273833*s[58])/4752 + (288899*s[59])/4752 + (71569*s[60])/352 - 
       (46537*s[61])/5346 + s[80]/2 + 7*s[82] + s[83]/2 + s[84]) + 
     F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      (-s[35] - (5*s[36])/2 + (59*s[37])/12 + (51*s[38])/2 - (805*s[39])/8 + 
       (809*s[40])/8 - (595*s[41])/8 + (1123*s[42])/8 + (6579*s[43])/88 - 
       (14983*s[44])/176 + (19603*s[45])/264 - (22124*s[46])/33 + 
       (23069*s[47])/528 - (4189*s[48])/528 - (201911*s[49])/528 + 
       (22177*s[50])/44 + (15421*s[51])/176 + (38569*s[52])/528 - 
       (267809*s[53])/792 - (307*s[54])/66 - (1100375*s[55])/528 - 
       (864323*s[56])/1584 + (958517*s[57])/1188 - (15417991*s[58])/14256 + 
       (15371551*s[59])/14256 + (5769977*s[60])/1056 - 
       (17439155*s[61])/64152 - s[65]/2 - s[66] + 2*s[67] + 2*s[68] + 
       3*s[69] + s[71]/2 + 2*s[72] - 2*s[73] - s[74] + s[75] + 2*s[78] + 
       4*s[79] - (19*s[80])/6 + 16*s[82] + s[83]/2 + s[84]) + 
     F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      (-s[36] + s[37]/4 + 5*s[38] - (77*s[39])/4 + (81*s[40])/4 - 
       (67*s[41])/4 + (115*s[42])/4 + (695*s[43])/44 - (1531*s[44])/88 + 
       (2095*s[45])/88 - (14607*s[46])/88 + (1951*s[47])/264 - 
       (2867*s[48])/264 - (22705*s[49])/264 + (6549*s[50])/44 + 
       (5153*s[51])/264 + (3317*s[52])/264 - (9355*s[53])/88 - 
       (435*s[54])/22 - (175529*s[55])/264 - (33149*s[56])/264 - 
       (5*s[57])/396 - (64202*s[58])/297 + (592249*s[59])/2376 + 
       (580399*s[60])/396 - (2941403*s[61])/42768 + s[80]/2 + 16*s[82] + 
       s[83]/2 + s[84]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*K1[u, v, w]*
      (6*s[82] + (3*s[83])/4 + (3*s[84])/2) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      K1[w, u, v]*((-9*s[36])/2 + (11*s[37])/2 + 23*s[38] - (625*s[39])/8 + 
       (653*s[40])/8 - (477*s[41])/8 + (845*s[42])/8 + (5991*s[43])/88 - 
       (12261*s[44])/176 + (5063*s[45])/44 - (65451*s[46])/88 + 
       (13775*s[47])/528 + (3413*s[48])/528 - (169541*s[49])/528 + 
       (24801*s[50])/44 + (36037*s[51])/528 + (31591*s[52])/528 - 
       (17889*s[53])/44 - (967*s[54])/44 - (465515*s[55])/176 - 
       (375847*s[56])/528 + (50428*s[57])/99 - (5442209*s[58])/4752 + 
       (5535215*s[59])/4752 + (19299947*s[60])/3168 - 
       (14979533*s[61])/42768 - s[73] - s[74]/2 + s[75]/2 - 2*s[76] + 
       3*s[78] + 3*s[79] + s[80] + 6*s[82] + (3*s[83])/4 + (3*s[84])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*K1[v, w, u]*(-4*s[36] + (10*s[37])/3 + 
       (63*s[38])/2 - (477*s[39])/4 + (533*s[40])/4 - (203*s[41])/2 + 
       (339*s[42])/2 + (4607*s[43])/44 - (9601*s[44])/88 + 
       (15277*s[45])/132 - (29281*s[46])/33 + (10853*s[47])/264 + 
       (2339*s[48])/264 - (123419*s[49])/264 + (29487*s[50])/44 + 
       (30685*s[51])/264 + (25855*s[52])/264 - (371689*s[53])/792 + 
       (746*s[54])/33 - (782065*s[55])/264 - (620723*s[56])/792 + 
       (1108507*s[57])/1188 - (10165363*s[58])/7128 + (10381201*s[59])/7128 + 
       (3771199*s[60])/528 - (3093251*s[61])/8019 - 2*s[73] - s[74]/2 + 
       s[75]/2 - 2*s[76] + 2*s[78] + 4*s[79] + (2*s[80])/3 - 4*s[82] + 
       s[83] + 2*s[84]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      Phi6[u, v, w]*((-3*s[3])/2 + 79*s[4] + (247*s[5])/8 + (783*s[6])/8 + 
       (23953*s[7])/24 - (18533*s[8])/216 - (181361*s[9])/216 - 
       (52135*s[10])/216 - (40325*s[11])/36 - (90989*s[12])/72 - 
       (55879*s[13])/72 - (2875*s[14])/72 - (45899*s[15])/36 - 
       (29737*s[16])/18 - (84715*s[17])/72 - (105793*s[18])/648 - 
       (52603*s[19])/324 - (154196*s[20])/81 - (104593*s[21])/162 + 
       (345083*s[22])/648 + (11434*s[23])/9 + (88948*s[24])/81 - 
       (17182691*s[25])/11664 + (8772911*s[26])/11664 + (3*s[33])/2 - s[34] - 
       2*s[36] + (35*s[37])/6 + 46*s[38] - (327*s[39])/2 + (363*s[40])/2 - 
       145*s[41] + 233*s[42] + (2839*s[43])/22 - (1576*s[44])/11 + 
       (5303*s[45])/66 - (29734*s[46])/33 + (5329*s[47])/88 - 
       (347*s[48])/88 - (53079*s[49])/88 + (31211*s[50])/44 + 
       (14749*s[51])/88 + (1455*s[52])/11 - (174323*s[53])/396 - 
       (427*s[54])/33 - (712703*s[55])/264 - (523145*s[56])/792 + 
       (436204*s[57])/297 - (10935475*s[58])/7128 + (11062969*s[59])/7128 + 
       (11812891*s[60])/1584 - (9412067*s[61])/32076 - s[74] + s[75] + 
       28*s[79] - (22*s[80])/3 - 23*s[82] + (3*s[83])/2 + 3*s[84]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      ((7*s[2])/2 + (53*s[3])/2 + (471*s[4])/4 + (3027*s[5])/44 + 
       (4209*s[6])/22 + (431557*s[7])/264 - (82211*s[8])/594 - 
       (146291*s[9])/108 - (43681*s[10])/108 - (722831*s[11])/396 - 
       (801337*s[12])/396 - (122753*s[13])/99 - (24301*s[14])/198 - 
       (153965*s[15])/72 - (2173729*s[16])/792 - (815471*s[17])/396 - 
       (98311*s[18])/324 - (41557*s[19])/162 - (11217443*s[20])/3564 - 
       (4057037*s[21])/3564 + (3019111*s[22])/3564 + (1661747*s[23])/792 + 
       (12557051*s[24])/7128 - (37896913*s[25])/16038 + 
       (40785293*s[26])/32076 + s[30] + 2*s[31] + s[32]/2 + 2*s[33] - 
       4*s[34] - s[35] - (13*s[36])/2 + (35*s[37])/4 + (133*s[38])/2 - 
       (2047*s[39])/8 + (2203*s[40])/8 - (1665*s[41])/8 + (2921*s[42])/8 + 
       (18057*s[43])/88 - (39045*s[44])/176 + (17591*s[45])/88 - 
       (37313*s[46])/22 + (57487*s[47])/528 - (7127*s[48])/528 - 
       (502549*s[49])/528 + (55809*s[50])/44 + (43719*s[51])/176 + 
       (108467*s[52])/528 - (114271*s[53])/132 + (2193*s[54])/44 - 
       (944803*s[55])/176 - (757027*s[56])/528 + (216496*s[57])/99 - 
       (13350899*s[58])/4752 + (13408499*s[59])/4752 + 
       (42962893*s[60])/3168 - (15065605*s[61])/21384 - s[65]/2 - s[66] + 
       2*s[67] + 3*s[68] + 3*s[69] + s[70] + s[71]/2 + 2*s[72] - 6*s[73] - 
       (3*s[74])/2 + (3*s[75])/2 - 2*s[76] - s[77] + 4*s[78] + 8*s[79] - 
       (5*s[80])/2 - 23*s[82] + (3*s[83])/2 + 3*s[84]) + 
     HPL[{0, 1}, 1 - u]*K1[v, w, u]*(-2*s[2] - (73*s[3])/4 + (41*s[4])/8 - 
       (1503*s[5])/88 - (189*s[6])/11 - (50227*s[7])/528 - (14143*s[8])/594 + 
       (18307*s[9])/216 + (11663*s[10])/216 + (171065*s[11])/1584 + 
       (72395*s[12])/792 + (110321*s[13])/1584 + (140399*s[14])/1584 + 
       (22453*s[15])/144 + (69197*s[16])/396 + (279533*s[17])/1584 + 
       (24011*s[18])/648 + (19483*s[19])/648 + (1881703*s[20])/7128 + 
       (2004539*s[21])/14256 - (620713*s[22])/14256 + (17575*s[23])/198 - 
       (147448*s[24])/891 + (12541031*s[25])/128304 - 
       (13076243*s[26])/128304 - 2*s[29] + s[30] - s[32]/2 - s[33]/4 - 
       s[35] - (13*s[36])/2 + s[37]/4 - (21*s[38])/2 - (147*s[39])/8 + 
       (167*s[40])/8 - (193*s[41])/8 + (397*s[42])/8 - (387*s[43])/88 - 
       (2737*s[44])/176 - (1493*s[45])/88 - (1151*s[46])/22 + 
       (13427*s[47])/528 - (27163*s[48])/528 - (5609*s[49])/528 + 
       (2891*s[50])/44 + (18145*s[51])/528 + (6319*s[52])/528 - 
       (2801*s[53])/44 + (479*s[54])/44 - (113485*s[55])/528 - 
       (31663*s[56])/528 + (93013*s[57])/396 - (451535*s[58])/4752 + 
       (579911*s[59])/4752 + (270785*s[60])/3168 - (482671*s[61])/21384 - 
       s[65]/2 - s[66] + 2*s[67] + 3*s[68] + 3*s[69] + s[70] + s[71]/2 + 
       2*s[72] - 4*s[73] - (3*s[74])/2 + (3*s[75])/2 - s[76] - 3*s[77] + 
       4*s[78] + 8*s[79] - (5*s[80])/2 - 6*s[82] + (3*s[83])/2 + 3*s[84]) + 
     HPL[{0, 1}, 1 - v]*K1[v, w, u]*((-3*s[2])/2 + (7*s[3])/4 + (49*s[4])/8 - 
       (137*s[5])/11 - (841*s[6])/88 - (31981*s[7])/176 - (47651*s[8])/2376 + 
       (20107*s[9])/108 + (8783*s[10])/108 + (312943*s[11])/1584 + 
       (19091*s[12])/99 + (210685*s[13])/1584 + (162223*s[14])/1584 + 
       (37751*s[15])/144 + (30469*s[16])/99 + (386629*s[17])/1584 + 
       (2594*s[18])/81 + (20849*s[19])/648 + (3306863*s[20])/7128 + 
       (2652769*s[21])/14256 - (1570673*s[22])/14256 + (7231*s[23])/99 - 
       (939185*s[24])/3564 + (3408725*s[25])/16038 - (1177696*s[26])/8019 - 
       2*s[29] + s[30] - 2*s[31] - s[32]/2 - 4*s[33] + 2*s[34] - s[35] - 
       5*s[36] - (13*s[37])/6 - (21*s[38])/2 - 3*s[39] - 6*s[40] + 
       (5*s[41])/4 + (77*s[42])/4 - (266*s[43])/11 + (877*s[44])/88 - 
       (1559*s[45])/132 + (4823*s[46])/132 + (2543*s[47])/88 - 
       (5509*s[48])/88 + (6451*s[49])/88 - (1369*s[50])/44 + 
       (1273*s[51])/88 - (63*s[52])/88 - (1754*s[53])/99 + (3521*s[54])/132 + 
       (14363*s[55])/264 - (4559*s[56])/792 + (20563*s[57])/297 + 
       (302999*s[58])/7128 - (196403*s[59])/7128 - (1375481*s[60])/1584 - 
       (1549981*s[61])/64152 - s[65]/2 - s[66] + 2*s[67] + 3*s[68] + 
       3*s[69] + s[70] + s[71]/2 + 2*s[72] - 4*s[73] - (3*s[74])/2 + 
       (3*s[75])/2 + s[76] - 3*s[77] + 4*s[78] - 12*s[79] + (2*s[80])/3 - 
       6*s[82] + (3*s[83])/2 + 3*s[84]) + HPL[{0, 0, 1, 1}, 1 - u]*
      Phi6[u, v, w]*(-4*s[2] + 13*s[3] + (589*s[4])/4 + (2269*s[5])/44 + 
       (1416*s[6])/11 + (1232479*s[7])/792 - (209101*s[8])/1188 - 
       (141329*s[9])/108 - (13661*s[10])/54 - (1428919*s[11])/792 - 
       (858283*s[12])/396 - (116543*s[13])/88 + (134243*s[14])/792 - 
       (44051*s[15])/24 - (324293*s[16])/132 - (1137545*s[17])/792 - 
       (22363*s[18])/81 - (69869*s[19])/324 - (2483453*s[20])/891 - 
       (6328285*s[21])/7128 + (5889773*s[22])/7128 + (117039*s[23])/44 + 
       (2818925*s[24])/1782 - (79814765*s[25])/32076 + (9652028*s[26])/8019 + 
       3*s[30] - 2*s[31] - s[32] + (21*s[33])/4 - s[34] + 12*s[37] + 
       96*s[38] - 312*s[39] + 336*s[40] - 240*s[41] + 420*s[42] + 
       (3048*s[43])/11 - (2976*s[44])/11 + (3216*s[45])/11 - 
       (24098*s[46])/11 + (1236*s[47])/11 + (444*s[48])/11 - 
       (13344*s[49])/11 + (17448*s[50])/11 + (3096*s[51])/11 + 
       (2844*s[52])/11 - (11928*s[53])/11 + (1116*s[54])/11 - 
       (76496*s[55])/11 - (20796*s[56])/11 + (28626*s[57])/11 - 
       (39972*s[58])/11 + (39876*s[59])/11 + (195848*s[60])/11 - 
       (91940*s[61])/99 + 2*s[68] - 8*s[73] - 160*s[82] + (3*s[83])/2 - 
       21*s[84] - 44*s[85]) + HPL[{0, 0, 1, 1}, 1 - v]*Phi6[u, v, w]*
      ((-7*s[2])/2 + (3*s[3])/4 + (1381*s[4])/8 + (3075*s[5])/44 + 
       (15957*s[6])/88 + (2992211*s[7])/1584 - (518449*s[8])/2376 - 
       (171739*s[9])/108 - (31715*s[10])/108 - (3467089*s[11])/1584 - 
       (258779*s[12])/99 - (2541203*s[13])/1584 + (284819*s[14])/1584 - 
       (318877*s[15])/144 - (295232*s[16])/99 - (940301*s[17])/528 - 
       (117209*s[18])/324 - (133019*s[19])/648 - (23793773*s[20])/7128 - 
       (16058587*s[21])/14256 + (14285927*s[22])/14256 + 
       (1315813*s[23])/396 + (3279901*s[24])/1782 - (191018255*s[25])/64152 + 
       (94466597*s[26])/64152 - 2*s[29] + 3*s[30] + 2*s[31] + s[32] - s[33] - 
       5*s[34] + s[35] - (61*s[36])/6 + (71*s[37])/3 + (73*s[38])/2 - 
       (1063*s[39])/8 + (2521*s[40])/24 - (389*s[41])/8 + (5015*s[42])/24 - 
       (8893*s[43])/264 - (6397*s[44])/528 - (30931*s[45])/132 + 
       (79679*s[46])/88 + (310355*s[47])/1584 - (541903*s[48])/1584 + 
       (171751*s[49])/1584 - (28505*s[50])/33 + (212557*s[51])/1584 + 
       (222823*s[52])/1584 + (13715*s[53])/22 + (2193*s[54])/11 + 
       (799527*s[55])/176 + (1712165*s[56])/1584 + (3998179*s[57])/1188 + 
       (4680367*s[58])/14256 - (5641873*s[59])/14256 - 
       (92581945*s[60])/9504 + (80347609*s[61])/128304 + 2*s[68] - 6*s[70] + 
       s[71] + 2*s[72] - 3*s[73] - (5*s[74])/2 + (5*s[75])/2 - 6*s[76] + 
       s[77] + 9*s[78] - 22*s[79] + (25*s[80])/3 - 160*s[82] + (3*s[83])/2 - 
       21*s[84] - 44*s[85]) + F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      ((-9*s[2])/4 - (223*s[3])/8 - (4577*s[4])/16 - (17165*s[5])/88 - 
       (89137*s[6])/176 - (14507161*s[7])/3168 + (1764931*s[8])/4752 + 
       (414653*s[9])/108 + (66863*s[10])/54 + (15970615*s[11])/3168 + 
       (4365719*s[12])/792 + (3485539*s[13])/1056 + (1812367*s[14])/3168 + 
       (195287*s[15])/32 + (2050715*s[16])/264 + (19011281*s[17])/3168 + 
       (133505*s[18])/162 + (959735*s[19])/1296 + (130096799*s[20])/14256 + 
       (93226237*s[21])/28512 - (68308013*s[22])/28512 - (340985*s[23])/66 - 
       (36184031*s[24])/7128 + (824913497*s[25])/128304 - 
       (449265053*s[26])/128304 - s[30]/2 - s[32] - (3*s[34])/2 + 
       (5*s[35])/2 + (32*s[36])/3 - (137*s[37])/12 - 185*s[38] + 
       (5779*s[39])/8 - (19537*s[40])/24 + (5107*s[41])/8 - 
       (24479*s[42])/24 - (178199*s[43])/264 + (185993*s[44])/264 - 
       (218995*s[45])/264 + (271629*s[46])/44 - (79865*s[47])/396 - 
       (152965*s[48])/792 + (1229045*s[49])/396 - (629485*s[50])/132 - 
       (556079*s[51])/792 - (220717*s[52])/396 + (218459*s[53])/66 + 
       (313*s[54])/22 + (5586403*s[55])/264 + (1090013*s[56])/198 - 
       (10700489*s[57])/2376 + (66709675*s[58])/7128 - 
       (67736521*s[59])/7128 - (243092569*s[60])/4752 + 
       (175982467*s[61])/64152 + s[68] - 3*s[70] - s[72] + s[73] + 
       (11*s[74])/4 - (11*s[75])/4 + 3*s[76] + (5*s[77])/2 - 2*s[78] - 
       52*s[79] + (91*s[80])/6 - 155*s[82] - s[83] - 26*s[84] - 40*s[85]) + 
     F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*(-4*s[2] - (57*s[3])/4 - 
       282*s[4] - (16317*s[5])/88 - (43401*s[6])/88 - (7192787*s[7])/1584 + 
       (880747*s[8])/2376 + (206399*s[9])/54 + (266923*s[10])/216 + 
       (7904497*s[11])/1584 + (539720*s[12])/99 + (5178083*s[13])/1584 + 
       (904579*s[14])/1584 + (872905*s[15])/144 + (6098947*s[16])/792 + 
       (3136877*s[17])/528 + (260963*s[18])/324 + (469031*s[19])/648 + 
       (64573103*s[20])/7128 + (46156255*s[21])/14256 - 
       (34026713*s[22])/14256 - (2015359*s[23])/396 - (8963089*s[24])/1782 + 
       (204059557*s[25])/32076 - (111124243*s[26])/32076 - s[29] - s[30]/2 - 
       s[31] - s[32]/2 - (5*s[33])/8 + s[34]/2 + 3*s[35] + (37*s[36])/3 - 
       (77*s[37])/6 - (357*s[38])/2 + (2883*s[39])/4 - (9805*s[40])/12 + 
       645*s[41] - (6187*s[42])/6 - (86879*s[43])/132 + (23030*s[44])/33 - 
       (50591*s[45])/66 + (260039*s[46])/44 - (42389*s[47])/198 - 
       (59005*s[48])/396 + (298978*s[49])/99 - (604133*s[50])/132 - 
       (142111*s[51])/198 - (223571*s[52])/396 + (277837*s[53])/88 - 
       (483*s[54])/22 + (663493*s[55])/33 + (1037551*s[56])/198 - 
       (5700203*s[57])/1188 + (16150349*s[58])/1782 - (8200504*s[59])/891 - 
       (116036509*s[60])/2376 + (165581051*s[61])/64152 + s[68] - 2*s[70] - 
       2*s[72] + 2*s[73] + 3*s[74] - 3*s[75] + 4*s[76] + 3*s[77] - 4*s[78] - 
       68*s[79] + (55*s[80])/3 - 155*s[82] - s[83] - 26*s[84] - 40*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      (s[35]/2 + (23*s[36])/3 - (35*s[37])/12 - (189*s[38])/2 + 
       (3099*s[39])/8 - (10681*s[40])/24 + (2805*s[41])/8 - 
       (13217*s[42])/24 - (102671*s[43])/264 + (103481*s[44])/264 - 
       (131317*s[45])/264 + (79209*s[46])/22 - (34379*s[47])/396 - 
       (125353*s[48])/792 + (683321*s[49])/396 - (91522*s[50])/33 - 
       (300497*s[51])/792 - (122293*s[52])/396 + (511939*s[53])/264 - 
       (1587*s[54])/44 + (1096049*s[55])/88 + (1313197*s[56])/396 - 
       (5391707*s[57])/2376 + (38441455*s[58])/7128 - (38842657*s[59])/7128 - 
       (141924523*s[60])/4752 + (53043503*s[61])/32076 - s[70] - s[72] - 
       s[73] + (5*s[74])/4 - (5*s[75])/4 + s[76] + s[77]/2 - 32*s[79] + 
       (67*s[80])/6 - 154*s[82] - 24*s[84] - 40*s[85]) + 
     F1[v, w, u]*HPL[{0, 0, 1}, 1 - u]*((-5*s[2])/4 - (133*s[3])/8 - 
       (5395*s[4])/16 - (13693*s[5])/88 - (88731*s[6])/176 - 
       (14416075*s[7])/3168 + (2087581*s[8])/4752 + (102023*s[9])/27 + 
       (29584*s[10])/27 + (15997381*s[11])/3168 + (1119773*s[12])/198 + 
       (1195303*s[13])/352 + (829153*s[14])/3168 + (187501*s[15])/32 + 
       (1002389*s[16])/132 + (17687627*s[17])/3168 + (265561*s[18])/324 + 
       (847757*s[19])/1296 + (124663769*s[20])/14256 + 
       (86377003*s[21])/28512 - (67895723*s[22])/28512 - (266853*s[23])/44 - 
       (34209521*s[24])/7128 + (845574635*s[25])/128304 - 
       (442199243*s[26])/128304 + 4*s[29] - (5*s[30])/2 - 2*s[31] - s[32]/2 - 
       s[33] + (9*s[34])/2 + (9*s[35])/2 + (56*s[36])/3 - (67*s[37])/4 - 
       155*s[38] + (5575*s[39])/8 - (18709*s[40])/24 + (4931*s[41])/8 - 
       (24623*s[42])/24 - (155267*s[43])/264 + (172085*s[44])/264 - 
       (62237*s[45])/88 + (740077*s[46])/132 - (202567*s[47])/792 - 
       (19493*s[48])/396 + (2172913*s[49])/792 - (142324*s[50])/33 - 
       (140483*s[51])/198 - (219985*s[52])/396 + (2379973*s[53])/792 - 
       (12875*s[54])/132 + (207902*s[55])/11 + (4035001*s[56])/792 - 
       (12285829*s[57])/2376 + (7801093*s[58])/891 - (15682169*s[59])/1782 - 
       (53849953*s[60])/1188 + (160695071*s[61])/64152 + s[65] + 2*s[66] - 
       4*s[67] - 3*s[68] - 5*s[69] - 3*s[70] - s[71]/2 - 5*s[72] + s[73] + 
       (21*s[74])/4 - (21*s[75])/4 + 5*s[76] + (11*s[77])/2 - 9*s[78] - 
       62*s[79] + (33*s[80])/2 - 114*s[82] - 3*s[83] - 30*s[84] - 36*s[85]) + 
     F1[u, v, w]*HPL[{0, 0, 1}, 1 - v]*(-s[2] - (31*s[3])/4 - (631*s[4])/2 - 
       (5905*s[5])/44 - (4897*s[6])/11 - (6431219*s[7])/1584 + 
       (56273*s[8])/132 + (80437*s[9])/24 + (2879*s[10])/3 + 
       (2373299*s[11])/528 + (111083*s[12])/22 + (4771615*s[13])/1584 + 
       (98177*s[14])/528 + (755975*s[15])/144 + (5378849*s[16])/792 + 
       (7912565*s[17])/1584 + (160661*s[18])/216 + (120823*s[19])/216 + 
       (18418759*s[20])/2376 + (12787987*s[21])/4752 - (3358457*s[22])/1584 - 
       (4542187*s[23])/792 - (3348593*s[24])/792 + (251480173*s[25])/42768 - 
       (131585305*s[26])/42768 + 2*s[29] - (5*s[30])/2 + s[31] - 
       (13*s[33])/8 - (3*s[34])/2 + 5*s[35] + (35*s[36])/2 - (167*s[37])/12 - 
       (275*s[38])/2 + (5315*s[39])/8 - (5967*s[40])/8 + (4745*s[41])/8 - 
       (8005*s[42])/8 - (4199*s[43])/8 + (9759*s[44])/16 - (14849*s[45])/24 + 
       (61363*s[46])/12 - (4441*s[47])/16 + (597*s[48])/16 + 
       (39627*s[49])/16 - (7921*s[50])/2 - (11215*s[51])/16 - 
       (8539*s[52])/16 + (99347*s[53])/36 - (1775*s[54])/12 + 
       (829045*s[55])/48 + (676189*s[56])/144 - (569035*s[57])/108 + 
       (10554641*s[58])/1296 - (10619441*s[59])/1296 - (11800145*s[60])/288 + 
       (3351427*s[61])/1458 + s[65] + 2*s[66] - 4*s[67] - 3*s[68] - 5*s[69] - 
       2*s[70] - s[71] - 6*s[72] + 8*s[73] + (11*s[74])/2 - (11*s[75])/2 + 
       2*s[76] + 6*s[77] - 10*s[78] - 72*s[79] + (163*s[80])/6 - 114*s[82] - 
       3*s[83] - 30*s[84] - 36*s[85]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      Phi6[u, v, w]*((-15*s[2])/2 - (7*s[3])/2 - (2181*s[4])/8 - 
       (25077*s[5])/88 - (7091*s[6])/11 - (1525633*s[7])/264 + 
       (243215*s[8])/594 + (532421*s[9])/108 + (366725*s[10])/216 + 
       (2472875*s[11])/396 + (658492*s[12])/99 + (1549019*s[13])/396 + 
       (938107*s[14])/792 + (567845*s[15])/72 + (982016*s[16])/99 + 
       (794435*s[17])/99 + (356401*s[18])/324 + (136999*s[19])/162 + 
       (42789275*s[20])/3564 + (15837779*s[21])/3564 - 
       (21727547*s[22])/7128 - (4487525*s[23])/792 - (45787403*s[24])/7128 + 
       (248042417*s[25])/32076 - (35572553*s[26])/8019 + s[30]/2 - s[31] + 
       s[32]/2 + (11*s[33])/8 - s[34]/2 + s[35] + (35*s[36])/3 + s[37] - 
       144*s[38] + 612*s[39] - (2138*s[40])/3 + 577*s[41] - (2641*s[42])/3 - 
       (20470*s[43])/33 + (84313*s[44])/132 - (38249*s[45])/44 + 
       (809953*s[46])/132 - (24121*s[47])/198 - (55273*s[48])/198 + 
       (556033*s[49])/198 - (157969*s[50])/33 - (121223*s[51])/198 - 
       (189007*s[52])/396 + (332540*s[53])/99 - (446*s[54])/33 + 
       (715427*s[55])/33 + (570827*s[56])/99 - (1871479*s[57])/594 + 
       (8010265*s[58])/891 - (16231733*s[59])/1782 - (121570337*s[60])/2376 + 
       (46184327*s[61])/16038 - s[68] - 2*s[70] + s[71] - 2*s[72] - 2*s[73] + 
       (5*s[74])/2 - (5*s[75])/2 + 2*s[76] - s[77] - 64*s[79] + 13*s[80] - 
       122*s[82] + (3*s[83])/4 - (45*s[84])/2 - 34*s[85]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      ((-37*s[2])/4 - (95*s[3])/8 - (4121*s[4])/16 - (20829*s[5])/88 - 
       (100833*s[6])/176 - (1755753*s[7])/352 + (1816691*s[8])/4752 + 
       (227315*s[9])/54 + (38825*s[10])/27 + (17131883*s[11])/3168 + 
       (4586653*s[12])/792 + (10819517*s[13])/3168 + (2922275*s[14])/3168 + 
       (1952719*s[15])/288 + (1693805*s[16])/198 + (21803141*s[17])/3168 + 
       (309929*s[18])/324 + (945211*s[19])/1296 + (145666447*s[20])/14256 + 
       (107320769*s[21])/28512 - (74489785*s[22])/28512 - 
       (4126687*s[23])/792 - (19640993*s[24])/3564 + (864935191*s[25])/
        128304 - (490118095*s[26])/128304 + s[29] + s[30]/2 - 2*s[31] + 
       (3*s[33])/4 - s[34]/2 + s[35]/2 + (35*s[36])/12 + (23*s[37])/3 - 
       (135*s[38])/4 + (3577*s[39])/16 - (12743*s[40])/48 + (3635*s[41])/16 - 
       (16897*s[42])/48 - (104101*s[43])/528 + (244637*s[44])/1056 - 
       (67061*s[45])/264 + (1091033*s[46])/528 - (220291*s[47])/3168 - 
       (147493*s[48])/3168 + (2962513*s[49])/3168 - (54253*s[50])/33 - 
       (792185*s[51])/3168 - (541235*s[52])/3168 + (925709*s[53])/792 - 
       (5813*s[54])/66 + (7724639*s[55])/1056 + (691723*s[56])/352 - 
       (243343*s[57])/198 + (28642447*s[58])/9504 - (29069833*s[59])/9504 - 
       (320406391*s[60])/19008 + (9295901*s[61])/9504 - s[68] + s[70] - 
       3*s[72] - (5*s[73])/2 + (7*s[74])/4 - (7*s[75])/4 - (3*s[77])/2 - 
       s[78]/2 - 33*s[79] + (83*s[80])/6 - 122*s[82] + (3*s[83])/4 - 
       (45*s[84])/2 - 34*s[85]) + F1[w, u, v]*HPL[{0, 1, 1}, 1 - u]*
      ((-17*s[3])/2 - (171*s[4])/4 - (161*s[5])/11 - (2671*s[6])/44 - 
       (128231*s[7])/264 + (53497*s[8])/1188 + (10655*s[9])/27 + 
       (5501*s[10])/54 + (439939*s[11])/792 + (252499*s[12])/396 + 
       (321439*s[13])/792 + (1201*s[14])/792 + (43007*s[15])/72 + 
       (312071*s[16])/396 + (429697*s[17])/792 + (13583*s[18])/162 + 
       (25199*s[19])/324 + (3139583*s[20])/3564 + (2186935*s[21])/7128 - 
       (1777631*s[22])/7128 - (68707*s[23])/99 - (469369*s[24])/891 + 
       (23826863*s[25])/32076 - (12272609*s[26])/32076 + s[32] + s[36] - 
       (25*s[37])/6 - 26*s[38] + (345*s[39])/4 - (381*s[40])/4 + 
       (277*s[41])/4 - (473*s[42])/4 - (3479*s[43])/44 + (6713*s[44])/88 - 
       (9155*s[45])/132 + (18542*s[46])/33 - (8443*s[47])/264 - 
       (3097*s[48])/264 + (85609*s[49])/264 - (4462*s[50])/11 - 
       (7147*s[51])/88 - (19787*s[52])/264 + (53921*s[53])/198 - 
       (1543*s[54])/33 + (151779*s[55])/88 + (380341*s[56])/792 - 
       (474229*s[57])/594 + (6857693*s[58])/7128 - (6831233*s[59])/7128 - 
       (2411399*s[60])/528 + (7273477*s[61])/32076 + 4*s[73] - 8*s[79] + 
       (5*s[80])/3 - 62*s[82] - (3*s[83])/4 - (51*s[84])/2 - 28*s[85]) + 
     F1[w, u, v]*HPL[{0, 1, 1}, 1 - v]*((-19*s[3])/2 - (177*s[4])/4 - 
       (677*s[5])/44 - (753*s[6])/11 - (136261*s[7])/264 + (13487*s[8])/297 + 
       (46243*s[9])/108 + (11807*s[10])/108 + (466625*s[11])/792 + 
       (66818*s[12])/99 + (339875*s[13])/792 + (8549*s[14])/792 + 
       (45367*s[15])/72 + (83284*s[16])/99 + (455789*s[17])/792 + 
       (29339*s[18])/324 + (24469*s[19])/324 + (3381517*s[20])/3564 + 
       (2342453*s[21])/7128 - (1918783*s[22])/7128 - (281285*s[23])/396 - 
       (1961351*s[24])/3564 + (50308829*s[25])/64152 - 
       (25861049*s[26])/64152 - 2*s[30] - (3*s[33])/2 + 4*s[35] + 
       (37*s[36])/3 - (45*s[37])/2 - 205*s[38] + (1571*s[39])/2 - 
       (5237*s[40])/6 + 668*s[41] - (6739*s[42])/6 - (44245*s[43])/66 + 
       (94493*s[44])/132 - (7955*s[45])/11 + (191456*s[46])/33 - 
       (27892*s[47])/99 - (5485*s[48])/99 + (302917*s[49])/99 - 
       (145544*s[50])/33 - (77270*s[51])/99 - (253823*s[52])/396 + 
       (297370*s[53])/99 - (4435*s[54])/33 + (2502721*s[55])/132 + 
       (498844*s[56])/99 - (3634673*s[57])/594 + (33066215*s[58])/3564 - 
       (33135209*s[59])/3564 - (28043299*s[60])/594 + 
       (79190567*s[61])/32076 + s[65]/2 + s[66] - 2*s[67] - 3*s[68] - s[69] - 
       4*s[70] + s[71]/2 - 4*s[72] + 2*s[73] + (7*s[74])/2 - (7*s[75])/2 + 
       2*s[76] + 5*s[77] - 6*s[78] - 61*s[79] + 19*s[80] - 62*s[82] - 
       (3*s[83])/4 - (51*s[84])/2 - 28*s[85]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*Phi6[u, v, w]*((-7*s[2])/2 - (55*s[3])/2 - 
       (483*s[4])/4 - (1816*s[5])/11 - (7945*s[6])/22 - (397237*s[7])/132 + 
       (216391*s[8])/1188 + (137971*s[9])/54 + (100789*s[10])/108 + 
       (2556913*s[11])/792 + (2669153*s[12])/792 + (793781*s[13])/396 + 
       (72470*s[14])/99 + (150715*s[15])/36 + (2065511*s[16])/396 + 
       (3461611*s[17])/792 + (186505*s[18])/324 + (78019*s[19])/162 + 
       (22591559*s[20])/3564 + (8566889*s[21])/3564 - (1395997*s[22])/891 - 
       (2016617*s[23])/792 - (24502073*s[24])/7128 + (253858003*s[25])/
        64152 - (150352891*s[26])/64152 + s[30] + (3*s[32])/2 + 2*s[33] - 
       s[34] - 2*s[35] + 11*s[36] + (15*s[37])/4 - (145*s[38])/2 + 
       (495*s[39])/2 - (573*s[40])/2 + (911*s[41])/4 - (1315*s[42])/4 - 
       (7089*s[43])/22 + (24353*s[44])/88 - (46951*s[45])/88 + 
       (284301*s[46])/88 + (1465*s[47])/264 - (62951*s[48])/264 + 
       (361157*s[49])/264 - (27428*s[50])/11 - (57665*s[51])/264 - 
       (51301*s[52])/264 + (158777*s[53])/88 + (1633*s[54])/44 + 
       (3144899*s[55])/264 + (816109*s[56])/264 - (28580*s[57])/99 + 
       (1318732*s[58])/297 - (10862831*s[59])/2376 - (2715737*s[60])/99 + 
       (68220079*s[61])/42768 + (3*s[71])/2 - 4*s[73] - 2*s[77] + 2*s[78] + 
       6*s[79] - (33*s[80])/2 - 88*s[82] + (9*s[83])/4 - (39*s[84])/2 - 
       26*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*Phi6[u, v, w]*
      ((-7*s[2])/2 + (23*s[3])/4 - (229*s[4])/8 + (37*s[5])/11 - 
       (5485*s[6])/88 - (77219*s[7])/176 + (4901*s[8])/88 + (1349*s[9])/4 + 
       (335*s[10])/2 + (79261*s[11])/176 + (40189*s[12])/88 + 
       (51109*s[13])/176 + (14507*s[14])/176 + (10305*s[15])/16 + 
       (69057*s[16])/88 + (122239*s[17])/176 + (547*s[18])/12 + 
       (2191*s[19])/24 + (223921*s[20])/264 + (47549*s[21])/176 - 
       (39797*s[22])/176 - (14375*s[23])/44 - (18988*s[24])/33 + 
       (1391051*s[25])/2376 - (709193*s[26])/2376 - s[30] + 2*s[33] - 
       5*s[34] - (3*s[35])/2 + (23*s[36])/12 - 13*s[37] - (199*s[38])/4 + 
       (2973*s[39])/16 - (10883*s[40])/48 + (2951*s[41])/16 - 
       (12685*s[42])/48 - (112537*s[43])/528 + (205685*s[44])/1056 - 
       (25851*s[45])/88 + (1074877*s[46])/528 - (85099*s[47])/3168 - 
       (325141*s[48])/3168 + (2812489*s[49])/3168 - (52849*s[50])/33 - 
       (591977*s[51])/3168 - (465827*s[52])/3168 + (894265*s[53])/792 - 
       (3193*s[54])/66 + (7769119*s[55])/1056 + (6198235*s[56])/3168 - 
       (906089*s[57])/1188 + (82550669*s[58])/28512 - 
       (84184907*s[59])/28512 - (330247903*s[60])/19008 + 
       (237495695*s[61])/256608 - s[65] - 2*s[66] + 4*s[67] - s[68] + 
       8*s[69] + s[70] + s[71] + s[72] - (9*s[73])/2 - (5*s[74])/4 + 
       (5*s[75])/4 + 6*s[76] - (11*s[77])/2 + (3*s[78])/2 - 51*s[79] + 
       (17*s[80])/2 - 88*s[82] + (9*s[83])/4 - (39*s[84])/2 - 26*s[85]) + 
     F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      (-86*s[82] - (3*s[83])/4 - (27*s[84])/2 - 22*s[85]) + 
     F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*(s[35] + (19*s[36])/4 - 
       (39*s[37])/4 - (375*s[38])/4 + (5529*s[39])/16 - (6197*s[40])/16 + 
       (4779*s[41])/16 - (7639*s[42])/16 - (58615*s[43])/176 + 
       (118829*s[44])/352 - (20291*s[45])/44 + (566765*s[46])/176 - 
       (93679*s[47])/1056 - (130309*s[48])/1056 + (1601653*s[49])/1056 - 
       (27164*s[50])/11 - (343289*s[51])/1056 - (283007*s[52])/1056 + 
       (227611*s[53])/132 + (239*s[54])/22 + (3932935*s[55])/352 + 
       (1054269*s[56])/352 - (555619*s[57])/264 + (15410143*s[58])/3168 - 
       (15533545*s[59])/3168 - (169513615*s[60])/6336 + 
       (14147371*s[61])/9504 - 2*s[70] + (3*s[73])/2 + s[74] - s[75] + 
       3*s[76] + s[77] - (3*s[78])/2 - 27*s[79] + 7*s[80] - 86*s[82] - 
       (3*s[83])/4 - (27*s[84])/2 - 22*s[85]) + F1[u, v, w]*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*(2*s[2] + 14*s[3] + (167*s[4])/4 + (1329*s[5])/44 + 
       (772*s[6])/11 + (157229*s[7])/264 - (1487*s[8])/33 - (5893*s[9])/12 - 
       (1805*s[10])/12 - (58519*s[11])/88 - (16109*s[12])/22 - 
       (116791*s[13])/264 - (5955*s[14])/88 - (19145*s[15])/24 - 
       (133139*s[16])/132 - (205493*s[17])/264 - (4387*s[18])/36 - 
       (3431*s[19])/36 - (464819*s[20])/396 - (115777*s[21])/264 + 
       (240841*s[22])/792 + (25438*s[23])/33 + (65690*s[24])/99 - 
       (2015005*s[25])/2376 + (1118641*s[26])/2376 + s[32] + (5*s[37])/2 + 
       29*s[38] - (179*s[39])/2 + (189*s[40])/2 - (139*s[41])/2 + 118*s[42] + 
       (1831*s[43])/22 - (3503*s[44])/44 + (978*s[45])/11 - 
       (14681*s[46])/22 + (1173*s[47])/44 + (799*s[48])/44 - 
       (15949*s[49])/44 + (5373*s[50])/11 + (10391*s[51])/132 + 
       (3085*s[52])/44 - (11294*s[53])/33 + (271*s[54])/11 - 
       (290779*s[55])/132 - (76069*s[56])/132 + (61228*s[57])/99 - 
       (1255121*s[58])/1188 + (1282067*s[59])/1188 + (484465*s[60])/88 - 
       (2996687*s[61])/10692 - s[68] - s[69] + 2*s[73] - s[77] - 80*s[82] + 
       (3*s[83])/4 - (21*s[84])/2 - 22*s[85]) + F1[v, w, u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*((191*s[4])/4 + (258*s[5])/11 + (2439*s[6])/44 + 
       (164489*s[7])/264 - (19637*s[8])/396 - (9587*s[9])/18 - 
       (2887*s[10])/18 - (183389*s[11])/264 - (102275*s[12])/132 - 
       (41651*s[13])/88 - (12959*s[14])/264 - (6573*s[15])/8 - 
       (22925*s[16])/22 - (201775*s[17])/264 - (5203*s[18])/54 - 
       (11965*s[19])/108 - (1454803*s[20])/1188 - (1013261*s[21])/2376 + 
       (793165*s[22])/2376 + (31589*s[23])/44 + (839309*s[24])/1188 - 
       (2405053*s[25])/2673 + (2535293*s[26])/5346 + s[33]/2 - 2*s[35] - 
       (67*s[36])/12 + (21*s[37])/4 - (47*s[38])/4 + (961*s[39])/16 - 
       (3575*s[40])/48 + (1035*s[41])/16 - (3877*s[42])/48 - 
       (43741*s[43])/528 + (82703*s[44])/1056 - (6741*s[45])/44 + 
       (502135*s[46])/528 + (17051*s[47])/3168 - (307735*s[48])/3168 + 
       (1197655*s[49])/3168 - (24433*s[50])/33 - (197699*s[51])/3168 - 
       (126581*s[52])/3168 + (104821*s[53])/198 + (947*s[54])/66 + 
       (3666221*s[55])/1056 + (2967133*s[56])/3168 + (124661*s[57])/2376 + 
       (35364383*s[58])/28512 - (34959689*s[59])/28512 - 
       (152383621*s[60])/19008 + (129159449*s[61])/256608 - 2*s[68] - 
       2*s[70] - s[73]/2 - s[76] - s[77] + (5*s[78])/2 - 5*s[79] + 5*s[80] - 
       80*s[82] + (3*s[83])/4 - (21*s[84])/2 - 22*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*Phi6[u, v, w]*
      ((15*s[3])/2 + (85*s[4])/4 + (23*s[5])/4 + (167*s[6])/4 + 
       (17141*s[7])/72 - (1987*s[8])/108 - (10223*s[9])/54 - 
       (4673*s[10])/108 - (5149*s[11])/18 - (24041*s[12])/72 - 
       (17159*s[13])/72 + (2063*s[14])/72 - (18419*s[15])/72 - 
       (3154*s[16])/9 - (2527*s[17])/12 - (3653*s[18])/81 - 
       (11881*s[19])/324 - (30497*s[20])/81 - (102175*s[21])/648 + 
       (75905*s[22])/648 + (24085*s[23])/72 + (163019*s[24])/648 - 
       (279905*s[25])/729 + (618059*s[26])/2916 + s[35] - (20*s[36])/3 + 
       (17*s[37])/6 + 11*s[38] - (55*s[39])/4 + (173*s[40])/12 + 
       (7*s[41])/4 - (71*s[42])/12 + (11419*s[43])/132 - (6029*s[44])/264 + 
       (11983*s[45])/132 - (31519*s[46])/66 - (30281*s[47])/792 + 
       (90565*s[48])/792 - (158065*s[49])/792 + (20747*s[50])/66 - 
       (12763*s[51])/792 + (27239*s[52])/792 - (24313*s[53])/99 - 
       (293*s[54])/33 - (435263*s[55])/264 - (42959*s[56])/88 - 
       (21719*s[57])/198 - (1629163*s[58])/2376 + (1616413*s[59])/2376 + 
       (19575601*s[60])/4752 - (1835659*s[61])/7128 + 2*s[70] + s[71] - 
       2*s[72] - 2*s[73] + (3*s[74])/2 - (3*s[75])/2 - 2*s[76] + s[77] - 
       2*s[78] - 16*s[79] - (13*s[80])/3 - 98*s[82] - 16*s[84] - 16*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*Phi6[u, v, w]*
      ((3*s[3])/2 + (85*s[4])/4 + 4*s[5] + (77*s[6])/2 + (18113*s[7])/72 - 
       (532*s[8])/27 - (11225*s[9])/54 - (1295*s[10])/27 - (2708*s[11])/9 - 
       (25367*s[12])/72 - (18029*s[13])/72 + (2129*s[14])/72 - 
       (19253*s[15])/72 - (13249*s[16])/36 - (1285*s[17])/6 - 
       (3341*s[18])/81 - (12463*s[19])/324 - (130577*s[20])/324 - 
       (104863*s[21])/648 + (84035*s[22])/648 + (23557*s[23])/72 + 
       (173921*s[24])/648 - (2353609*s[25])/5832 + (1270675*s[26])/5832 - 
       (3*s[33])/4 + (25*s[36])/12 + (5*s[37])/12 - (421*s[38])/4 + 
       (7293*s[39])/16 - (25387*s[40])/48 + (6851*s[41])/16 - 
       (31805*s[42])/48 - (228953*s[43])/528 + (495043*s[44])/1056 - 
       (83533*s[45])/132 + (787513*s[46])/176 - (347345*s[47])/3168 - 
       (531419*s[48])/3168 + (6453419*s[49])/3168 - (460817*s[50])/132 - 
       (1456975*s[51])/3168 - (1087633*s[52])/3168 + (53997*s[53])/22 - 
       (2789*s[54])/44 + (16732129*s[55])/1056 + (13362313*s[56])/3168 - 
       (5671945*s[57])/2376 + (186843611*s[58])/28512 - 
       (189478829*s[59])/28512 - (706622465*s[60])/19008 + 
       (540701009*s[61])/256608 + s[71] - 2*s[72] - (5*s[73])/2 + 2*s[74] - 
       2*s[75] + s[76] - s[78]/2 - 47*s[79] + (22*s[80])/3 - 98*s[82] - 
       16*s[84] - 16*s[85]) + HPL[{0, 1, 1, 1}, 1 - u]*Phi6[u, v, w]*
      (-93*s[82] - 12*s[85]) + HPL[{0, 1, 1, 1}, 1 - v]*Phi6[u, v, w]*
      (s[11] - s[22]/3 + (28*s[25])/27 - s[26]/27 + 6*s[37] - (47*s[38])/2 + 
       (307*s[39])/4 - (379*s[40])/4 + (153*s[41])/2 - 96*s[42] - 
       (4945*s[43])/44 + (9785*s[44])/88 - (2685*s[45])/22 + 
       (39043*s[46])/44 + (1659*s[47])/44 - (3257*s[48])/22 + 
       (23909*s[49])/44 - (15901*s[50])/22 - (7625*s[51])/132 - 
       (3669*s[52])/88 + (16012*s[53])/33 + (3677*s[54])/44 + 
       (138447*s[55])/44 + (90011*s[56])/132 + (84583*s[57])/396 + 
       (1262707*s[58])/1188 - (669167*s[59])/594 - (2132461*s[60])/264 + 
       (7843373*s[61])/21384 + 3*s[68] - 3*s[69] + 3*s[77] - 93*s[82] - 
       12*s[85]) + F1[u, v, w]*HPL[{0, 0, 1}, 1 - w]*
      (-s[2]/2 - (165*s[3])/4 - (841*s[4])/8 - (663*s[5])/8 - (1017*s[6])/4 - 
       (94513*s[7])/48 + (1547*s[8])/12 + (39127*s[9])/24 + 
       (14183*s[10])/24 + (34517*s[11])/16 + (4621*s[12])/2 + 
       (68033*s[13])/48 + (5933*s[14])/16 + (42221*s[15])/16 + 
       (40505*s[16])/12 + (130375*s[17])/48 + (24397*s[18])/72 + 
       (26495*s[19])/72 + (287569*s[20])/72 + (68495*s[21])/48 - 
       (145859*s[22])/144 - (40931*s[23])/24 - (167413*s[24])/72 + 
       (393571*s[25])/144 - (217447*s[26])/144 - s[30] + s[32]/2 + 4*s[33] - 
       3*s[34] - 3*s[35] + (2*s[36])/3 - (29*s[37])/6 - 55*s[38] + 
       142*s[39] - (497*s[40])/3 + (245*s[41])/2 - (995*s[42])/6 - 
       (7087*s[43])/33 + (42593*s[44])/264 - (48613*s[45])/132 + 
       (276251*s[46])/132 + (9943*s[47])/396 - (83249*s[48])/396 + 
       (342125*s[49])/396 - (206527*s[50])/132 - (41881*s[51])/396 - 
       (92777*s[52])/792 + (443587*s[53])/396 - (895*s[54])/33 + 
       (248221*s[55])/33 + (268681*s[56])/132 - (2535*s[57])/44 + 
       (3393625*s[58])/1188 - (3397051*s[59])/1188 - (21305155*s[60])/1188 + 
       (22127317*s[61])/21384 - s[65]/2 - s[66] + 2*s[67] - 2*s[68] + 
       4*s[69] - s[70] + (3*s[71])/2 + 2*s[72] - 6*s[73] - (3*s[74])/2 + 
       (3*s[75])/2 + 2*s[76] - 4*s[77] + 4*s[78] + 4*s[79] - (32*s[80])/3 - 
       54*s[82] + (3*s[83])/2 - 9*s[84] - 12*s[85]) + 
     F1[v, w, u]*HPL[{0, 0, 1}, 1 - w]*((-13*s[2])/2 + (9*s[3])/2 - 
       (495*s[4])/4 - (10449*s[5])/88 - (27185*s[6])/88 - (663527*s[7])/264 + 
       (470693*s[8])/2376 + (457993*s[9])/216 + (157229*s[10])/216 + 
       (1068521*s[11])/396 + (283609*s[12])/99 + (338743*s[13])/198 + 
       (207767*s[14])/396 + (62201*s[15])/18 + (3414871*s[16])/792 + 
       (2783359*s[17])/792 + (318941*s[18])/648 + (104561*s[19])/324 + 
       (18425345*s[20])/3564 + (13955983*s[21])/7128 - (4695901*s[22])/3564 - 
       (1047163*s[23])/396 - (2461933*s[24])/891 + (428959313*s[25])/128304 - 
       (251039537*s[26])/128304 + s[30] + s[32] - 3*s[34] - s[35] + 
       (41*s[36])/6 - (13*s[37])/2 - (125*s[38])/2 + (2415*s[39])/8 - 
       (8561*s[40])/24 + (2289*s[41])/8 - (10915*s[42])/24 - 
       (77755*s[43])/264 + (160475*s[44])/528 - (3985*s[45])/11 + 
       (724417*s[46])/264 - (132421*s[47])/1584 - (113875*s[48])/1584 + 
       (2013559*s[49])/1584 - (70289*s[50])/33 - (492647*s[51])/1584 - 
       (384053*s[52])/1584 + (1202417*s[53])/792 - (15511*s[54])/132 + 
       (5134333*s[55])/528 + (4147021*s[56])/1584 - (2247745*s[57])/1188 + 
       (59126411*s[58])/14256 - (60717881*s[59])/14256 - 
       (214988737*s[60])/9504 + (161805575*s[61])/128304 + 2*s[70] - 
       2*s[72] - 2*s[73] + s[74]/2 - s[75]/2 - s[77] - s[78] - 48*s[79] + 
       13*s[80] - 54*s[82] + (3*s[83])/2 - 9*s[84] - 12*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*Phi6[u, v, w]*
      (-20*s[3] - (247*s[4])/4 - (1061*s[5])/44 - (1216*s[6])/11 - 
       (286931*s[7])/264 + (11179*s[8])/198 + (31933*s[9])/36 + 
       (15281*s[10])/36 + (317363*s[11])/264 + (82501*s[12])/66 + 
       (67467*s[13])/88 + (49283*s[14])/264 + (37915*s[15])/24 + 
       (87445*s[16])/44 + (447211*s[17])/264 + (7691*s[18])/108 + 
       (42931*s[19])/108 + (2626915*s[20])/1188 + (1644983*s[21])/2376 - 
       (1335925*s[22])/2376 - (3471*s[23])/11 - (918607*s[24])/594 + 
       (33152717*s[25])/21384 - (16478453*s[26])/21384 + s[32] + 
       (19*s[37])/2 - 23*s[38] + 55*s[39] - 62*s[40] + (121*s[41])/2 - 
       47*s[42] - (1160*s[43])/11 + (1130*s[44])/11 - (2097*s[45])/22 + 
       (16151*s[46])/22 + (9187*s[47])/132 - (23681*s[48])/132 + 
       (77093*s[49])/132 - (7292*s[50])/11 - (639*s[51])/44 + 
       (601*s[52])/66 + (4596*s[53])/11 + (5439*s[54])/22 + 
       (358709*s[55])/132 + (48991*s[56])/132 + (85103*s[57])/99 + 
       (743609*s[58])/1188 - (924419*s[59])/1188 - (5958149*s[60])/792 + 
       (2470877*s[61])/10692 + 2*s[68] - 2*s[69] + 2*s[77] - 118*s[82] - 
       8*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*Phi6[u, v, w]*
      (4*s[2] - (27*s[3])/2 - (61*s[4])/2 - (631*s[5])/44 - (2217*s[6])/44 - 
       (30775*s[7])/66 + (35705*s[8])/1188 + (39025*s[9])/108 + 
       (25289*s[10])/108 + (47536*s[11])/99 + (87151*s[12])/198 + 
       (22492*s[13])/99 + (17668*s[14])/99 + (30851*s[15])/36 + 
       (99277*s[16])/99 + (398557*s[17])/396 + (7073*s[18])/324 + 
       (33749*s[19])/162 + (1959755*s[20])/1782 + (1352671*s[21])/3564 - 
       (208844*s[22])/891 - (791*s[23])/396 - (2688335*s[24])/3564 + 
       (37108349*s[25])/64152 - (21600377*s[26])/64152 + 4*s[31] + 
       (3*s[33])/2 - 8*s[34] + 2*s[36] + (65*s[37])/6 + s[38] + 23*s[39] - 
       34*s[40] + (81*s[41])/2 - 31*s[42] - (573*s[43])/11 + (820*s[44])/11 - 
       (2003*s[45])/33 + (16139*s[46])/33 + (2239*s[47])/44 - 
       (4229*s[48])/44 + (15943*s[49])/44 - (11169*s[50])/22 - 
       (203*s[51])/132 + (835*s[52])/22 + (34642*s[53])/99 + 
       (15931*s[54])/66 + (300577*s[55])/132 + (119027*s[56])/396 + 
       (254707*s[57])/297 + (1256245*s[58])/3564 - (1984273*s[59])/3564 - 
       (4129369*s[60])/792 + (1495612*s[61])/8019 + 2*s[68] - 2*s[69] - 
       s[71] - 4*s[76] + 2*s[77] + 2*s[78] - 4*s[79] + (14*s[80])/3 - 
       118*s[82] - 8*s[85]) + F1[u, v, w]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      (-s[37] - (21*s[39])/2 + (25*s[40])/2 - (25*s[41])/2 + 19*s[42] + 
       (9*s[43])/2 - (21*s[44])/2 - (21*s[45])/2 + 7*s[47] - (3*s[48])/2 - 
       31*s[49] + 8*s[50] + (33*s[51])/2 + 8*s[52] + (187*s[55])/4 + 
       31*s[56] + (505*s[57])/4 - (245*s[58])/12 + (287*s[59])/12 - 
       (245*s[60])/6 + (1481*s[61])/108 - s[74]/2 + s[75]/2 - (63*s[82])/2 - 
       4*s[84] - 8*s[85]) + F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      (s[35]/2 + (9*s[36])/8 - (65*s[37])/24 - (305*s[38])/8 + 
       (4559*s[39])/32 - (5123*s[40])/32 + (4021*s[41])/32 - 
       (6321*s[42])/32 - (49969*s[43])/352 + (99755*s[44])/704 - 
       (51083*s[45])/264 + (1437857*s[46])/1056 - (24355*s[47])/704 - 
       (37137*s[48])/704 + (454721*s[49])/704 - (11646*s[50])/11 - 
       (282239*s[51])/2112 - (75555*s[52])/704 + (73448*s[53])/99 + 
       (523*s[54])/33 + (10103771*s[55])/2112 + (7881475*s[56])/6336 - 
       (3413227*s[57])/4752 + (114075113*s[58])/57024 - 
       (115992383*s[59])/57024 - (144877289*s[60])/12672 + 
       (320017535*s[61])/513216 - s[70] + s[73]/4 + s[74]/4 - s[75]/4 + 
       s[76]/2 + s[77]/2 + s[78]/4 - (23*s[79])/2 + (23*s[80])/6 - 
       (63*s[82])/2 - 4*s[84] - 8*s[85]) + F1[v, w, u]*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*(-24*s[82] - 4*s[85]) + F1[u, v, w]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((9*s[37])/2 - (7*s[38])/2 + (91*s[39])/4 - 
       (127*s[40])/4 + (59*s[41])/2 - (65*s[42])/2 - (1677*s[43])/44 + 
       (3459*s[44])/88 - (439*s[45])/22 + (9071*s[46])/44 + (839*s[47])/66 - 
       (6077*s[48])/132 + (11563*s[49])/66 - (3811*s[50])/22 - 
       (469*s[51])/22 - (1973*s[52])/264 + (3986*s[53])/33 + 
       (1119*s[54])/44 + (23498*s[55])/33 + (7327*s[56])/66 + 
       (44953*s[57])/396 + (59206*s[58])/297 - (289897*s[59])/1188 - 
       (376367*s[60])/198 + (1287023*s[61])/21384 + s[68] - s[69] + s[77] - 
       24*s[82] - 4*s[85]) + F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((3*s[2])/2 - (7*s[3])/4 - (187*s[4])/8 - (179*s[5])/44 - 
       (1307*s[6])/88 - (28649*s[7])/176 + (105835*s[8])/2376 + 
       (12133*s[9])/108 + (1021*s[10])/54 + (318631*s[11])/1584 + 
       (102275*s[12])/396 + (221449*s[13])/1584 - (121493*s[14])/1584 + 
       (26087*s[15])/144 + (29443*s[16])/99 + (285289*s[17])/1584 + 
       (6389*s[18])/324 + (28229*s[19])/648 + (1664219*s[20])/7128 + 
       (880993*s[21])/14256 - (1123373*s[22])/14256 - (163055*s[23])/396 - 
       (575639*s[24])/3564 + (19020545*s[25])/64152 - (7729433*s[26])/64152 + 
       2*s[29] - s[30] + 2*s[31] + s[32]/2 + (19*s[33])/4 - 3*s[34] + s[35] + 
       (41*s[36])/6 + s[37] - 12*s[38] + (587*s[39])/8 - (1685*s[40])/24 + 
       (439*s[41])/8 - (2653*s[42])/24 - (11287*s[43])/264 + 
       (34475*s[44])/528 - (2417*s[45])/44 + (131887*s[46])/264 - 
       (59281*s[47])/1584 + (54305*s[48])/1584 + (443251*s[49])/1584 - 
       (54407*s[50])/132 - (98447*s[51])/1584 - (59645*s[52])/1584 + 
       (241055*s[53])/792 + (4099*s[54])/66 + (316431*s[55])/176 + 
       (627289*s[56])/1584 - (240755*s[57])/594 + (10659299*s[58])/14256 - 
       (11735393*s[59])/14256 - (37909609*s[60])/9504 + 
       (28232609*s[61])/128304 + s[65]/2 + s[66] - 2*s[67] - 2*s[68] - 
       3*s[69] - s[70] - s[71] - 2*s[72] + 4*s[73] + (3*s[74])/2 - 
       (3*s[75])/2 - s[76] + 3*s[77] - 4*s[78] + 10*s[79] - s[80] - 
       60*s[82] - (3*s[83])/2 - 3*s[84] - 4*s[85]) + 
     F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      ((65*s[3])/4 - (231*s[4])/8 - (573*s[5])/88 - (977*s[6])/44 - 
       (207941*s[7])/528 + (27799*s[8])/594 + (71861*s[9])/216 + 
       (22801*s[10])/216 + (714295*s[11])/1584 + (415183*s[12])/792 + 
       (482971*s[13])/1584 - (47219*s[14])/1584 + (69563*s[15])/144 + 
       (263473*s[16])/396 + (719155*s[17])/1584 + (22603*s[18])/648 + 
       (61271*s[19])/648 + (5140391*s[20])/7128 + (3035005*s[21])/14256 - 
       (3109487*s[22])/14256 - (179183*s[23])/396 - (406229*s[24])/891 + 
       (77863729*s[25])/128304 - (35334661*s[26])/128304 + 2*s[29] - s[30] + 
       s[32] + s[33]/4 + s[35] + (13*s[36])/2 + (9*s[37])/4 - 22*s[38] + 
       (861*s[39])/8 - (937*s[40])/8 + (805*s[41])/8 - (1233*s[42])/8 - 
       (8603*s[43])/88 + (20923*s[44])/176 - (7979*s[45])/88 + 
       (37613*s[46])/44 - (5975*s[47])/528 - (23597*s[48])/528 + 
       (282101*s[49])/528 - (31527*s[50])/44 - (16455*s[51])/176 - 
       (30517*s[52])/528 + (63971*s[53])/132 + (2207*s[54])/22 + 
       (1563409*s[55])/528 + (331763*s[56])/528 - (133811*s[57])/396 + 
       (5409571*s[58])/4752 - (5863351*s[59])/4752 - (23418869*s[60])/3168 + 
       (875626*s[61])/2673 + s[65]/2 + s[66] - 2*s[67] - s[68] - 4*s[69] - 
       s[70] - s[71]/2 - 2*s[72] + 2*s[73] + (3*s[74])/2 - (3*s[75])/2 + 
       s[76] + 4*s[77] - 4*s[78] - 8*s[79] + (5*s[80])/2 - 60*s[82] - 
       (3*s[83])/2 - 3*s[84] - 4*s[85]) + F1[u, v, w]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*((3*s[2])/2 - (7*s[3])/4 - (285*s[4])/8 - 
       (763*s[5])/88 - (1543*s[6])/44 - (55689*s[7])/176 + (16790*s[8])/297 + 
       (52481*s[9])/216 + (10807*s[10])/216 + (570577*s[11])/1584 + 
       (340171*s[12])/792 + (389497*s[13])/1584 - (90569*s[14])/1584 + 
       (55589*s[15])/144 + (52438*s[16])/99 + (574045*s[17])/1584 + 
       (34027*s[18])/648 + (33629*s[19])/648 + (3734633*s[20])/7128 + 
       (2363671*s[21])/14256 - (2239661*s[22])/14256 - (62429*s[23])/99 - 
       (268022*s[24])/891 + (64553767*s[25])/128304 - 
       (30429043*s[26])/128304 + 2*s[29] - s[30] + 2*s[31] + s[32]/2 + 
       4*s[33] - 2*s[34] + s[35] + (13*s[36])/2 + (13*s[37])/4 - 20*s[38] + 
       (897*s[39])/8 - (973*s[40])/8 + (817*s[41])/8 - (1373*s[42])/8 - 
       (8247*s[43])/88 + (19071*s[44])/176 - (7831*s[45])/88 + 
       (35925*s[46])/44 - (19475*s[47])/528 + (127*s[48])/528 + 
       (244985*s[49])/528 - (28443*s[50])/44 - (58793*s[51])/528 - 
       (39745*s[52])/528 + (20905*s[53])/44 + (23*s[54])/22 + 
       (500103*s[55])/176 + (351199*s[56])/528 - (108059*s[57])/198 + 
       (5588687*s[58])/4752 - (6006179*s[59])/4752 - (20639825*s[60])/3168 + 
       (3694313*s[61])/10692 + s[65]/2 + s[66] - 2*s[67] - s[68] - 4*s[69] - 
       s[70] - s[71]/2 - 2*s[72] + 4*s[73] + (3*s[74])/2 - (3*s[75])/2 - 
       s[76] + 4*s[77] - 4*s[78] + 4*s[79] + s[80]/2 - 24*s[82] - 
       (3*s[83])/2 - 3*s[84] - 4*s[85]) + F1[v, w, u]*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*((41*s[3])/4 - (285*s[4])/8 - (323*s[5])/88 - 
       (1279*s[6])/44 - (61673*s[7])/176 + (33481*s[8])/594 + 
       (61787*s[9])/216 + (13111*s[10])/216 + (628393*s[11])/1584 + 
       (375019*s[12])/792 + (434641*s[13])/1584 - (85817*s[14])/1584 + 
       (60485*s[15])/144 + (113489*s[16])/198 + (590677*s[17])/1584 + 
       (30229*s[18])/648 + (32513*s[19])/648 + (4283885*s[20])/7128 + 
       (2502271*s[21])/14256 - (2671301*s[22])/14256 - (248627*s[23])/396 - 
       (303464*s[24])/891 + (70726219*s[25])/128304 - 
       (31882759*s[26])/128304 + 2*s[29] - s[30] + s[32] + s[33]/4 + s[35] + 
       (13*s[36])/2 - (9*s[37])/4 - (29*s[38])/2 + (727*s[39])/8 - 
       (779*s[40])/8 + (641*s[41])/8 - (1149*s[42])/8 - (5201*s[43])/88 + 
       (13957*s[44])/176 - (4359*s[45])/88 + (12261*s[46])/22 - 
       (8333*s[47])/176 + (6341*s[48])/176 + (54039*s[49])/176 - 
       (19545*s[50])/44 - (51365*s[51])/528 - (11977*s[52])/176 + 
       (41315*s[53])/132 - (237*s[54])/44 + (321379*s[55])/176 + 
       (247219*s[56])/528 - (76210*s[57])/99 + (4316363*s[58])/4752 - 
       (4469291*s[59])/4752 - (1515845*s[60])/352 + (4851541*s[61])/21384 + 
       s[65]/2 + s[66] - 2*s[67] - 2*s[68] - 3*s[69] - s[70] - s[71]/2 - 
       2*s[72] + 2*s[73] + (3*s[74])/2 - (3*s[75])/2 + s[76] + 3*s[77] - 
       4*s[78] - 8*s[79] + (5*s[80])/2 - 24*s[82] - (3*s[83])/2 - 3*s[84] - 
       4*s[85]) + F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      ((-3*s[2])/2 - 7*s[3] - 31*s[4] - (1609*s[5])/88 - (2177*s[6])/88 - 
       (61111*s[7])/132 + (30731*s[8])/792 + (27691*s[9])/72 + 
       (10541*s[10])/72 + (134293*s[11])/264 + (145595*s[12])/264 + 
       (41617*s[13])/132 + (1051*s[14])/66 + (16007*s[15])/24 + 
       (107779*s[16])/132 + (7064*s[17])/11 + (12929*s[18])/216 + 
       (13883*s[19])/108 + (275252*s[20])/297 + (728665*s[21])/2376 - 
       (287473*s[22])/1188 - (58865*s[23])/132 - (694261*s[24])/1188 + 
       (28337219*s[25])/42768 - (14313815*s[26])/42768 - s[30] - 
       (3*s[32])/2 - s[35] - (3*s[36])/2 + (109*s[37])/12 + (33*s[38])/2 - 
       (569*s[39])/8 + (541*s[40])/8 - (343*s[41])/8 + (875*s[42])/8 + 
       (2399*s[43])/88 - (5567*s[44])/176 + (3059*s[45])/264 - 
       (7780*s[46])/33 + (11921*s[47])/176 - (13093*s[48])/176 - 
       (16755*s[49])/176 + (2415*s[50])/22 + (41093*s[51])/528 + 
       (13971*s[52])/176 - (58831*s[53])/792 + (4637*s[54])/33 - 
       (62407*s[55])/176 - (416293*s[56])/1584 + (1450591*s[57])/1188 - 
       (9327269*s[58])/14256 + (7925321*s[59])/14256 + (3608969*s[60])/3168 - 
       (6600283*s[61])/64152 - s[65]/2 - s[66] + 2*s[67] + 3*s[68] + 
       2*s[69] - 2*s[70] + 2*s[72] - 4*s[73] - s[74] + s[75] - 2*s[76] + 
       4*s[77] + 3*s[78] + 2*s[79] + (7*s[80])/6 - 50*s[82] + s[83]/2 + 
       s[84] - 4*s[85]) + F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-59*s[4])/2 - (1697*s[5])/88 - (1429*s[6])/88 - (30121*s[7])/66 + 
       (10757*s[8])/264 + (9277*s[9])/24 + (3431*s[10])/24 + 
       (44053*s[11])/88 + (47725*s[12])/88 + (10198*s[13])/33 + 
       (543*s[14])/44 + (16025*s[15])/24 + (106063*s[16])/132 + 
       (84053*s[17])/132 + (3523*s[18])/72 + (4555*s[19])/36 + 
       (91219*s[20])/99 + (26493*s[21])/88 - (24199*s[22])/99 - 
       (57149*s[23])/132 - (229741*s[24])/396 + (3102419*s[25])/4752 - 
       (1546463*s[26])/4752 + s[30] - s[32]/2 + (3*s[33])/2 + s[35] + 
       (5*s[36])/3 + (35*s[37])/12 - 13*s[38] + (349*s[39])/4 - 
       (1103*s[40])/12 + (303*s[41])/4 - (1657*s[42])/12 - (6049*s[43])/132 + 
       (5255*s[44])/66 + (6619*s[45])/264 + (63949*s[46])/264 - 
       (9421*s[47])/198 + (14389*s[48])/396 + (59239*s[49])/198 - 
       (31711*s[50])/132 - (34657*s[51])/396 - (21487*s[52])/396 + 
       (102683*s[53])/792 + (1808*s[54])/33 + (73951*s[55])/132 + 
       (1171*s[56])/132 - (99931*s[57])/132 + (1058819*s[58])/2376 - 
       (290621*s[59])/594 - (9630895*s[60])/4752 + (634199*s[61])/42768 + 
       s[65]/2 + s[66] - 2*s[67] - 2*s[68] - 3*s[69] - s[70] - s[71] - 
       2*s[72] + (3*s[74])/2 - (3*s[75])/2 - 5*s[76] + 3*s[77] + 2*s[78] - 
       4*s[79] + (35*s[80])/6 - 50*s[82] + s[83]/2 + s[84] - 4*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
      (-2*s[82] - 2*s[85]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      Phi6[u, v, w]*(s[2] + 7*s[3] + (167*s[4])/8 + (1329*s[5])/88 + 
       (386*s[6])/11 + (157229*s[7])/528 - (1487*s[8])/66 - (5893*s[9])/24 - 
       (1805*s[10])/24 - (58519*s[11])/176 - (16109*s[12])/44 - 
       (116791*s[13])/528 - (5955*s[14])/176 - (19145*s[15])/48 - 
       (133139*s[16])/264 - (205493*s[17])/528 - (4387*s[18])/72 - 
       (3431*s[19])/72 - (464819*s[20])/792 - (115777*s[21])/528 + 
       (240841*s[22])/1584 + (12719*s[23])/33 + (32845*s[24])/99 - 
       (2015005*s[25])/4752 + (1118641*s[26])/4752 + s[32]/2 + (5*s[37])/4 + 
       (29*s[38])/2 - (179*s[39])/4 + (189*s[40])/4 - (139*s[41])/4 + 
       59*s[42] + (1831*s[43])/44 - (3503*s[44])/88 + (489*s[45])/11 - 
       (14681*s[46])/44 + (1173*s[47])/88 + (799*s[48])/88 - 
       (15949*s[49])/88 + (5373*s[50])/22 + (10391*s[51])/264 + 
       (3085*s[52])/88 - (5647*s[53])/33 + (271*s[54])/22 - 
       (290779*s[55])/264 - (76069*s[56])/264 + (30614*s[57])/99 - 
       (1255121*s[58])/2376 + (1282067*s[59])/2376 + (484465*s[60])/176 - 
       (2996687*s[61])/21384 - s[68]/2 - s[69]/2 + s[73] - s[77]/2 - 
       2*s[82] - 2*s[85]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      Phi6[u, v, w]*(s[37] - (9*s[38])/4 + (25*s[39])/8 - (25*s[40])/8 + 
       4*s[41] - (7*s[42])/4 - (515*s[43])/88 + (933*s[44])/176 + 
       (195*s[45])/88 + (465*s[46])/44 + (775*s[47])/176 - (1887*s[48])/176 + 
       (6519*s[49])/176 - (1657*s[50])/88 + (251*s[51])/176 + 
       (255*s[52])/176 + (337*s[53])/44 + (2133*s[54])/88 + 
       (14837*s[55])/528 - (4831*s[56])/176 + (16909*s[57])/264 - 
       (28693*s[58])/1584 + (8407*s[59])/1584 - (220091*s[60])/1056 - 
       (85913*s[61])/7128 + s[68]/2 - s[69]/2 + s[77]/2 - 2*s[82] - 
       2*s[85]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*
      ((191*s[4])/8 + (129*s[5])/11 + (2439*s[6])/88 + (164489*s[7])/528 - 
       (19637*s[8])/792 - (9587*s[9])/36 - (2887*s[10])/36 - 
       (183389*s[11])/528 - (102275*s[12])/264 - (41651*s[13])/176 - 
       (12959*s[14])/528 - (6573*s[15])/16 - (22925*s[16])/44 - 
       (201775*s[17])/528 - (5203*s[18])/108 - (11965*s[19])/216 - 
       (1454803*s[20])/2376 - (1013261*s[21])/4752 + (793165*s[22])/4752 + 
       (31589*s[23])/88 + (839309*s[24])/2376 - (2405053*s[25])/5346 + 
       (2535293*s[26])/10692 + s[33]/4 - (3*s[35])/2 - (7*s[36])/6 + 
       (25*s[37])/6 + (51*s[38])/4 - (359*s[39])/8 + (1237*s[40])/24 - 
       (141*s[41])/4 + (383*s[42])/6 + (9275*s[43])/264 - (20869*s[44])/528 + 
       (12625*s[45])/264 - (15025*s[46])/44 + (34115*s[47])/1584 - 
       (6739*s[48])/1584 - (237161*s[49])/1584 + (66125*s[50])/264 + 
       (70339*s[51])/1584 + (66523*s[52])/1584 - (21553*s[53])/132 + 
       (2559*s[54])/88 - (192389*s[55])/176 - (539347*s[56])/1584 + 
       (1188875*s[57])/2376 - (8746445*s[58])/14256 + (8394923*s[59])/14256 + 
       (26512433*s[60])/9504 - (10008337*s[61])/64152 - s[68]/2 - s[69]/2 - 
       s[77]/2 + 7*s[79] - (5*s[80])/3 - 2*s[82] - 2*s[85]) + 
     F1[v, w, u]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      ((7*s[36])/2 - (8*s[37])/3 - 29*s[38] + (877*s[39])/8 - (977*s[40])/8 + 
       (745*s[41])/8 - (1245*s[42])/8 - (8323*s[43])/88 + (17739*s[44])/176 - 
       (3569*s[45])/33 + (216439*s[46])/264 - (19715*s[47])/528 - 
       (4865*s[48])/528 + (228545*s[49])/528 - (13649*s[50])/22 - 
       (56321*s[51])/528 - (46837*s[52])/528 + (171517*s[53])/396 - 
       (1609*s[54])/132 + (1447717*s[55])/528 + (1149761*s[56])/1584 - 
       (1020881*s[57])/1188 + (18801583*s[58])/14256 - 
       (19148317*s[59])/14256 - (2323939*s[60])/352 + 
       (45998383*s[61])/128304 + 2*s[73] + s[74]/2 - s[75]/2 + 2*s[76] - 
       2*s[78] - 2*s[79] - (4*s[80])/3 - 20*s[82] - s[83] - 2*s[84] - 
       2*s[85]) + F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      (4*s[36] - (7*s[37])/12 - (65*s[38])/2 + (1009*s[39])/8 - 
       (1145*s[40])/8 + (903*s[41])/8 - (1421*s[42])/8 - (10563*s[43])/88 + 
       (22289*s[44])/176 - (8039*s[45])/66 + (255503*s[46])/264 - 
       (7351*s[47])/264 - (5243*s[48])/132 + (146683*s[49])/264 - 
       (65951*s[50])/88 - (2619*s[51])/22 - (49531*s[52])/528 + 
       (409759*s[53])/792 + (466*s[54])/33 + (859921*s[55])/264 + 
       (636017*s[56])/792 - (1868663*s[57])/2376 + (5228651*s[58])/3564 - 
       (5428451*s[59])/3564 - (12692951*s[60])/1584 + 
       (51538007*s[61])/128304 + s[68]/2 - s[69]/2 + 2*s[73] + s[74]/2 - 
       s[75]/2 + 2*s[76] + s[77]/2 - 2*s[78] - 4*s[79] - (2*s[80])/3 - 
       20*s[82] - s[83] - 2*s[84] - 2*s[85]) + F1[w, u, v]*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*(-s[35] - (5*s[36])/2 + (9*s[37])/2 + (51*s[38])/2 - 
       (895*s[39])/8 + (923*s[40])/8 - (685*s[41])/8 + (1309*s[42])/8 + 
       (627*s[43])/8 - (1453*s[44])/16 + (279*s[45])/4 - (5411*s[46])/8 + 
       (2785*s[47])/48 - (1433*s[48])/48 - (18331*s[49])/48 + 
       (1993*s[50])/4 + (5147*s[51])/48 + (4199*s[52])/48 - (4117*s[53])/12 + 
       (71*s[54])/2 - (99323*s[55])/48 - (27145*s[56])/48 + 
       (36259*s[57])/36 - (494927*s[58])/432 + (493073*s[59])/432 + 
       (1519141*s[60])/288 - (1075859*s[61])/3888 - s[65]/2 - s[66] + 
       2*s[67] + 2*s[68] + 3*s[69] + s[71]/2 + 2*s[72] - 2*s[73] - s[74] + 
       s[75] + 2*s[78] + 2*s[79] - 3*s[80] - 11*s[82] + s[83]/2 + s[84] - 
       2*s[85]) + F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      (s[36]/4 + (31*s[37])/12 + (11*s[38])/4 + (39*s[39])/16 - 
       (91*s[40])/16 + (113*s[41])/16 - (85*s[42])/16 - (1297*s[43])/176 + 
       (3475*s[44])/352 - (3415*s[45])/264 + (46187*s[46])/528 + 
       (1911*s[47])/352 - (4887*s[48])/352 + (14419*s[49])/352 - 
       (6863*s[50])/88 - (1697*s[51])/1056 + (925*s[52])/352 + 
       (94795*s[53])/1584 + (1993*s[54])/264 + (409925*s[55])/1056 + 
       (265993*s[56])/3168 + (289541*s[57])/2376 + (2220311*s[58])/28512 - 
       (2793629*s[59])/28512 - (5109851*s[60])/6336 + 
       (12001721*s[61])/256608 + s[68]/2 - s[69]/2 - s[71]/4 - s[76] + 
       s[77]/2 + s[78]/2 - s[79] + (8*s[80])/3 - 11*s[82] + s[83]/2 + s[84] - 
       2*s[85]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      (3*s[3] + (55*s[4])/8 + (25*s[5])/22 + (887*s[6])/88 + 
       (16405*s[7])/264 - (64*s[8])/11 - (97*s[9])/2 - (39*s[10])/4 - 
       (1681*s[11])/22 - (1032*s[12])/11 - (4067*s[13])/66 + (62*s[14])/11 - 
       (1481*s[15])/24 - (12907*s[16])/132 - (1718*s[17])/33 - 
       (881*s[18])/72 - (613*s[19])/72 - (21121*s[20])/198 - 
       (28307*s[21])/792 + (8309*s[22])/264 + (14063*s[23])/132 + 
       (16967*s[24])/264 - (374509*s[25])/3564 + (45880*s[26])/891 - 
       2*s[37] + (11*s[38])/2 - (163*s[39])/8 + (199*s[40])/8 - 
       (169*s[41])/8 + (209*s[42])/8 + (2353*s[43])/88 - (5235*s[44])/176 + 
       (823*s[45])/44 - (14985*s[46])/88 - (985*s[47])/132 + 
       (8623*s[48])/264 - (17945*s[49])/132 + (12307*s[50])/88 + 
       (4055*s[51])/264 + (4573*s[52])/528 - (11599*s[53])/132 - 
       (1229*s[54])/44 - (72971*s[55])/132 - (1124*s[56])/11 + 
       (383*s[57])/44 - (162257*s[58])/792 + (176849*s[59])/792 + 
       (623077*s[60])/396 - (800687*s[61])/14256 - s[68]/2 + s[69]/2 - 
       s[77]/2 + (43*s[82])/2 + 2*s[85]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*((47*s[4])/8 + (79*s[5])/176 + 
       (1345*s[6])/176 + (2294*s[7])/33 - (11053*s[8])/1584 - 
       (8321*s[9])/144 - (1867*s[10])/144 - (44117*s[11])/528 - 
       (54145*s[12])/528 - (2935*s[13])/44 + (2291*s[14])/264 - 
       (3383*s[15])/48 - (4779*s[16])/44 - (15317*s[17])/264 - 
       (4921*s[18])/432 - (517*s[19])/54 - (281755*s[20])/2376 - 
       (181667*s[21])/4752 + (44887*s[22])/1188 + (2485*s[23])/22 + 
       (174395*s[24])/2376 - (9808057*s[25])/85536 + (4665565*s[26])/85536 + 
       (3*s[36])/4 + (5*s[37])/24 + (5*s[38])/2 - (109*s[39])/16 + 
       (129*s[40])/16 - (85*s[41])/16 + (149*s[42])/16 + (835*s[43])/176 - 
       (3057*s[44])/352 + (1363*s[45])/528 - (4273*s[46])/132 + 
       (1175*s[47])/1056 + (5597*s[48])/1056 - (30893*s[49])/1056 + 
       (1061*s[50])/44 + (4645*s[51])/1056 + (4771*s[52])/1056 - 
       (941*s[53])/99 - (322*s[54])/33 - (23547*s[55])/352 - 
       (82073*s[56])/3168 + (36934*s[57])/297 - (2164453*s[58])/28512 + 
       (1953097*s[59])/28512 + (590707*s[60])/2112 - (1367831*s[61])/128304 + 
       s[79] - (7*s[80])/12 + (43*s[82])/2 + 2*s[85]) + 
     F1[v, w, u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*((-7*s[2])/2 + 4*s[3] + 
       (7*s[4])/4 + (53*s[5])/8 + (157*s[6])/8 + (693*s[7])/8 - 
       (1321*s[8])/216 - (12859*s[9])/216 - (14303*s[10])/216 - 
       (5183*s[11])/72 - (619*s[12])/18 - (35*s[13])/72 - (7097*s[14])/72 - 
       (7633*s[15])/36 - (8515*s[16])/36 - (5507*s[17])/18 - 
       (1775*s[18])/648 - (7813*s[19])/162 - (86539*s[20])/324 - 
       (34021*s[21])/324 + (24961*s[22])/648 - (7967*s[23])/72 + 
       (111925*s[24])/648 - (749107*s[25])/11664 + (765343*s[26])/11664 - 
       2*s[31] - s[32]/2 - (3*s[33])/2 + 6*s[34] - s[36] - (31*s[37])/6 - 
       (21*s[38])/2 + (25*s[39])/2 - (13*s[40])/2 - s[41]/4 - (47*s[42])/4 - 
       (29*s[43])/22 - (111*s[44])/11 + (475*s[45])/33 - (5453*s[46])/66 - 
       (1949*s[47])/88 + (2451*s[48])/88 - (2997*s[49])/88 + 
       (1148*s[50])/11 - (1295*s[51])/88 - (296*s[52])/11 - 
       (33827*s[53])/396 - (5611*s[54])/132 - (149597*s[55])/264 - 
       (70835*s[56])/792 - (528137*s[57])/1188 + (163841*s[58])/7128 + 
       (292675*s[59])/7128 + (1552009*s[60])/1584 - (919753*s[61])/16038 - 
       s[68] + s[69] - s[70] + s[71]/2 - 2*s[73] + 2*s[76] + s[77] - s[78] + 
       2*s[79] - (13*s[80])/3 + 44*s[82] + 4*s[85]) + 
     F1[u, v, w]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*(3*s[2] + (43*s[3])/4 + 
       (151*s[4])/8 + (969*s[5])/88 + (1165*s[6])/22 + (215597*s[7])/528 - 
       (10199*s[8])/594 - (70771*s[9])/216 - (35555*s[10])/216 - 
       (702899*s[11])/1584 - (44455*s[12])/99 - (437717*s[13])/1584 - 
       (164399*s[14])/1584 - (85651*s[15])/144 - (597049*s[16])/792 - 
       (1066007*s[17])/1584 - (21857*s[18])/648 - (92503*s[19])/648 - 
       (6035593*s[20])/7128 - (3952163*s[21])/14256 + (2951329*s[22])/14256 + 
       (15017*s[23])/198 + (1023713*s[24])/1782 - (71896955*s[25])/128304 + 
       (37567067*s[26])/128304 + s[30] - s[32] + (3*s[33])/2 + s[35] - 
       s[36]/3 - (5*s[37])/6 + (11*s[38])/2 + (71*s[39])/4 - (173*s[40])/12 + 
       (21*s[41])/2 - (305*s[42])/6 + (5525*s[43])/132 - (691*s[44])/66 + 
       (7321*s[45])/66 - (55255*s[46])/132 - (48889*s[47])/792 + 
       (89645*s[48])/792 - (117113*s[49])/792 + (21013*s[50])/66 - 
       (33977*s[51])/792 - (10363*s[52])/396 - (49507*s[53])/198 - 
       (6937*s[54])/132 - (483605*s[55])/264 - (38039*s[56])/88 - 
       (353405*s[57])/396 - (806291*s[58])/2376 + (937661*s[59])/2376 + 
       (19411835*s[60])/4752 - (1604353*s[61])/7128 + s[65]/2 + s[66] - 
       2*s[67] - 3*s[68] - 2*s[69] - s[70] - s[71]/2 - 2*s[72] + 
       (3*s[74])/2 - (3*s[75])/2 - 5*s[76] + 2*s[77] + 2*s[78] - 2*s[79] + 
       (13*s[80])/3 + 44*s[82] + 4*s[85]) + F1[v, w, u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*(-2*s[2] + (21*s[3])/4 + (857*s[4])/8 + 
       (558*s[5])/11 + (12185*s[6])/88 + (778993*s[7])/528 - 
       (273103*s[8])/2376 - (33319*s[9])/27 - (11771*s[10])/27 - 
       (2569921*s[11])/1584 - (1391293*s[12])/792 - (1659505*s[13])/1584 - 
       (263827*s[14])/1584 - (298529*s[15])/144 - (2047613*s[16])/792 - 
       (3229771*s[17])/1584 - (33487*s[18])/162 - (210035*s[19])/648 - 
       (21171617*s[20])/7128 - (14542681*s[21])/14256 + 
       (11133449*s[22])/14256 + (288361*s[23])/198 + (3168169*s[24])/1782 - 
       (134152691*s[25])/64152 + (70804229*s[26])/64152 - 2*s[31] + 
       (3*s[33])/4 + 3*s[34] - (35*s[36])/6 + (13*s[37])/12 + (109*s[38])/2 - 
       (1683*s[39])/8 + (5765*s[40])/24 - (1581*s[41])/8 + (7135*s[42])/24 + 
       (53167*s[43])/264 - (117869*s[44])/528 + (50429*s[45])/264 - 
       (35947*s[46])/22 + (53677*s[47])/1584 + (111955*s[48])/1584 - 
       (1567975*s[49])/1584 + (89377*s[50])/66 + (314687*s[51])/1584 + 
       (215711*s[52])/1584 - (119083*s[53])/132 - (6791*s[54])/44 - 
       (3028525*s[55])/528 - (2004905*s[56])/1584 + (578185*s[57])/594 - 
       (33530725*s[58])/14256 + (35899849*s[59])/14256 + 
       (135959839*s[60])/9504 - (39854063*s[61])/64152 - s[68] + s[69] + 
       s[71]/2 - s[74] + s[75] + 2*s[76] - s[77] - s[78] + 30*s[79] - 
       (41*s[80])/6 + 59*s[82] + (3*s[83])/2 + 3*s[84] + 4*s[85]) + 
     F1[u, v, w]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*(5*s[2] + (73*s[3])/2 + 
       (323*s[4])/2 + (1923*s[5])/22 + (11203*s[6])/44 + (155719*s[7])/66 - 
       (212059*s[8])/1188 - (105325*s[9])/54 - (73201*s[10])/108 - 
       (259991*s[11])/99 - (2266217*s[12])/792 - (1384891*s[13])/792 - 
       (175621*s[14])/792 - (115081*s[15])/36 - (3212545*s[16])/792 - 
       (1254149*s[17])/396 - (28846*s[18])/81 - (167237*s[19])/324 - 
       (16415717*s[20])/3564 - (11400145*s[21])/7128 + (8718341*s[22])/7128 + 
       (944989*s[23])/396 + (2473138*s[24])/891 - (54484993*s[25])/16038 + 
       (57244673*s[26])/32076 + s[30] + 2*s[31] + 2*s[33] - 4*s[34] - s[35] - 
       (13*s[36])/2 + (13*s[37])/4 + 89*s[38] - (2461*s[39])/8 + 
       (2633*s[40])/8 - (2069*s[41])/8 + (3325*s[42])/8 + (24971*s[43])/88 - 
       (51899*s[44])/176 + (24171*s[45])/88 - (99829*s[46])/44 + 
       (39239*s[47])/528 + (46301*s[48])/528 - (726941*s[49])/528 + 
       (78387*s[50])/44 + (48223*s[51])/176 + (112093*s[52])/528 - 
       (157735*s[53])/132 - (2581*s[54])/22 - (1320323*s[55])/176 - 
       (306857*s[56])/176 + (74307*s[57])/44 - (5326945*s[58])/1584 + 
       (5528893*s[59])/1584 + (60987389*s[60])/3168 - (1588069*s[61])/1782 - 
       s[65]/2 - s[66] + 2*s[67] + 2*s[68] + 4*s[69] + s[70] + s[71]/2 + 
       2*s[72] - 6*s[73] - (3*s[74])/2 + (3*s[75])/2 - 2*s[76] - 2*s[77] + 
       4*s[78] + 8*s[79] - (5*s[80])/2 + 59*s[82] + (3*s[83])/2 + 3*s[84] + 
       4*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*Phi6[u, v, w]*
      (38*s[82] + 8*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      Phi6[u, v, w]*(-6*s[37] + 11*s[38] - 29*s[39] + 35*s[40] - 
       (71*s[41])/2 + (65*s[42])/2 + (591*s[43])/11 - (2161*s[44])/44 + 
       (1107*s[45])/44 - (12433*s[46])/44 - (8725*s[47])/264 + 
       (21371*s[48])/264 - (71417*s[49])/264 + (11449*s[50])/44 + 
       (3611*s[51])/264 + (323*s[52])/132 - (1891*s[53])/11 - 
       (1823*s[54])/22 - (277837*s[55])/264 - (29323*s[56])/264 - 
       (37816*s[57])/99 - (485153*s[58])/2376 + (699821*s[59])/2376 + 
       (4583105*s[60])/1584 - (1372703*s[61])/21384 - 2*s[68] + 2*s[69] - 
       2*s[77] + 38*s[82] + 8*s[85]) + F1[u, v, w]*HPL[{0, 1, 1}, 1 - v]*
      (8*s[3] + 14*s[4] + (127*s[5])/22 + (285*s[6])/11 + (6011*s[7])/44 - 
       (779*s[8])/66 - (326*s[9])/3 - (119*s[10])/6 - (1769*s[11])/11 - 
       (8245*s[12])/44 - (5507*s[13])/44 + (23*s[14])/44 - (1901*s[15])/12 - 
       (2417*s[16])/11 - (1622*s[17])/11 - (521*s[18])/18 - (277*s[19])/18 - 
       (23585*s[20])/99 - (34511*s[21])/396 + (26599*s[22])/396 + 
       (10149*s[23])/44 + (53431*s[24])/396 - (385201*s[25])/1782 + 
       (199855*s[26])/1782 + s[32] - 7*s[37] + (33*s[38])/2 - (291*s[39])/4 + 
       (367*s[40])/4 - (157*s[41])/2 + 106*s[42] + (4069*s[43])/44 - 
       (8271*s[44])/88 + (2999*s[45])/44 - (13383*s[46])/22 - 
       (3049*s[47])/264 + (20381*s[48])/264 - (109697*s[49])/264 + 
       (21723*s[50])/44 + (18263*s[51])/264 + (12361*s[52])/264 - 
       (11294*s[53])/33 - (797*s[54])/44 - (556753*s[55])/264 - 
       (38125*s[56])/88 + (6599*s[57])/132 - (66895*s[58])/88 + 
       (220379*s[59])/264 + (8388665*s[60])/1584 - (804665*s[61])/3564 - 
       2*s[68] + 2*s[69] - 2*s[77] + 39*s[82] + 8*s[85]) + 
     F1[v, w, u]*HPL[{0, 1, 1}, 1 - u]*(14*s[4] + (243*s[5])/44 + 
       (1041*s[6])/44 + (24083*s[7])/132 - (17839*s[8])/1188 - 
       (16745*s[9])/108 - (3829*s[10])/108 - (81977*s[11])/396 - 
       (23482*s[12])/99 - (60695*s[13])/396 - (3665*s[14])/396 - 
       (1933*s[15])/9 - (27968*s[16])/99 - (18965*s[17])/99 - 
       (10345*s[18])/324 - (1703*s[19])/81 - (595591*s[20])/1782 - 
       (104366*s[21])/891 + (343627*s[22])/3564 + (99943*s[23])/396 + 
       (675337*s[24])/3564 - (17544613*s[25])/64152 + (9190741*s[26])/64152 - 
       s[36] + (13*s[37])/6 + 10*s[38] - (143*s[39])/4 + (163*s[40])/4 - 
       (123*s[41])/4 + (203*s[42])/4 + (1513*s[43])/44 - (2855*s[44])/88 + 
       (2723*s[45])/132 - (13657*s[46])/66 + (3653*s[47])/264 + 
       (1079*s[48])/264 - (33839*s[49])/264 + (1609*s[50])/11 + 
       (9431*s[51])/264 + (8653*s[52])/264 - (18995*s[53])/198 + 
       (919*s[54])/33 - (154831*s[55])/264 - (134419*s[56])/792 + 
       (220027*s[57])/594 - (2622623*s[58])/7128 + (2598215*s[59])/7128 + 
       (2614255*s[60])/1584 - (599743*s[61])/8019 + 8*s[79] - (5*s[80])/3 + 
       39*s[82] + 8*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      Phi6[u, v, w]*((5*s[4])/2 + (79*s[5])/22 + (311*s[6])/22 + 
       (3409*s[7])/22 + (191*s[8])/33 - (401*s[9])/3 - (443*s[10])/6 - 
       (8845*s[11])/44 - (10221*s[12])/44 - (3435*s[13])/22 - 
       (515*s[14])/22 - 156*s[15] - (3035*s[16])/11 - (7659*s[17])/44 - 
       (5*s[18])/18 - (671*s[19])/9 - (63445*s[20])/198 - (20083*s[21])/198 + 
       (17855*s[22])/198 - (2931*s[23])/44 + (102811*s[24])/396 - 
       (457249*s[25])/1782 + (218983*s[26])/1782 - s[32] - 6*s[37] + 
       17*s[38] - 56*s[39] + 68*s[40] - (113*s[41])/2 + (117*s[42])/2 + 
       (1026*s[43])/11 - (1085*s[44])/11 + (2037*s[45])/22 - 
       (15085*s[46])/22 - (2317*s[47])/44 + (6879*s[48])/44 - 
       (21869*s[49])/44 + (6243*s[50])/11 + (2479*s[51])/132 + 
       (95*s[52])/11 - (3983*s[53])/11 - (3149*s[54])/22 - 
       (313187*s[55])/132 - (19883*s[56])/44 - (10876*s[57])/33 - 
       (294067*s[58])/396 + (323497*s[59])/396 + (1742677*s[60])/264 - 
       (899191*s[61])/3564 - 2*s[68] + 2*s[69] - 2*s[77] + 116*s[82] + 
       8*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*Phi6[u, v, w]*
      ((-17*s[4])/2 - (375*s[5])/22 - (403*s[6])/22 - (10691*s[7])/44 + 
       (4265*s[8])/594 + (11911*s[9])/54 + (4019*s[10])/54 + 
       (22547*s[11])/99 + (81739*s[12])/396 + (43235*s[13])/396 + 
       (32531*s[14])/396 + (14803*s[15])/36 + (79147*s[16])/198 + 
       (78577*s[17])/198 + (4021*s[18])/81 + (2372*s[19])/81 + 
       (484139*s[20])/891 + (752681*s[21])/3564 - (442867*s[22])/3564 - 
       (78127*s[23])/396 - (899245*s[24])/3564 + (2132135*s[25])/8019 - 
       (2917249*s[26])/16038 - (3*s[33])/2 + 2*s[34] + 3*s[36] - 
       (7*s[37])/3 - 3*s[38] - (17*s[39])/4 + (21*s[40])/4 + s[41]/4 + 
       (19*s[42])/4 - (15*s[43])/4 - (169*s[44])/8 - (25*s[45])/6 - 
       (307*s[46])/12 - (45*s[47])/8 + (105*s[48])/8 - (529*s[49])/8 + 
       (97*s[50])/2 - (305*s[51])/24 - (147*s[52])/8 - (539*s[53])/36 - 
       (509*s[54])/6 - (2147*s[55])/24 + (1621*s[56])/72 + (377*s[57])/54 - 
       (14689*s[58])/648 + (26515*s[59])/648 + (68929*s[60])/144 + 
       (13385*s[61])/5832 + s[71] - (14*s[80])/3 + 116*s[82] + 8*s[85]) + 
     F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*(34*s[82] - (3*s[83])/4 + 
       (21*s[84])/2 + 14*s[85]) + F1[w, u, v]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*(-s[35]/2 - (17*s[36])/12 + (77*s[37])/12 + 
       (211*s[38])/4 - (2687*s[39])/16 + (9233*s[40])/48 - (2385*s[41])/16 + 
       (10819*s[42])/48 + (92083*s[43])/528 - (173087*s[44])/1056 + 
       (15643*s[45])/66 - (282247*s[46])/176 + (114613*s[47])/3168 + 
       (227539*s[48])/3168 - (2396791*s[49])/3168 + (162625*s[50])/132 + 
       (519623*s[51])/3168 + (439049*s[52])/3168 - (223601*s[53])/264 + 
       (19*s[54])/11 - (5853449*s[55])/1056 - (4642589*s[56])/3168 + 
       (1142071*s[57])/1188 - (68451607*s[58])/28512 + 
       (68617261*s[59])/28512 + (257017477*s[60])/19008 - 
       (185474263*s[61])/256608 + s[65]/2 + s[66] - 2*s[67] - 4*s[69] - 
       s[71] - s[72] + s[73]/2 + s[74]/4 - s[75]/4 - 4*s[76] + (5*s[77])/2 - 
       s[78]/2 + 19*s[79] + s[80]/3 + 34*s[82] - (3*s[83])/4 + (21*s[84])/2 + 
       14*s[85]) + F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      ((-3*s[3])/2 + 79*s[4] + (247*s[5])/8 + (783*s[6])/8 + 
       (23953*s[7])/24 - (18533*s[8])/216 - (181361*s[9])/216 - 
       (52135*s[10])/216 - (40325*s[11])/36 - (90989*s[12])/72 - 
       (55879*s[13])/72 - (2875*s[14])/72 - (45899*s[15])/36 - 
       (29737*s[16])/18 - (84715*s[17])/72 - (105793*s[18])/648 - 
       (52603*s[19])/324 - (154196*s[20])/81 - (104593*s[21])/162 + 
       (345083*s[22])/648 + (11434*s[23])/9 + (88948*s[24])/81 - 
       (17182691*s[25])/11664 + (8772911*s[26])/11664 + (3*s[33])/2 - s[34] - 
       (5*s[35])/2 - (113*s[36])/12 + (175*s[37])/12 + (579*s[38])/4 - 
       (9255*s[39])/16 + (30905*s[40])/48 - (8049*s[41])/16 + 
       (40243*s[42])/48 + (250411*s[43])/528 - (558455*s[44])/1056 + 
       (61453*s[45])/132 - (2126081*s[46])/528 + (685237*s[47])/3168 + 
       (48931*s[48])/3168 - (7017415*s[49])/3168 + (409561*s[50])/132 + 
       (1863335*s[51])/3168 + (1472657*s[52])/3168 - (1652891*s[53])/792 + 
       (1987*s[54])/33 - (4590203*s[55])/352 - (3585391*s[56])/1056 + 
       (1822897*s[57])/396 - (20538863*s[58])/3168 + (6888335*s[59])/1056 + 
       (622732381*s[60])/19008 - (141184361*s[61])/85536 - s[65]/2 - s[66] + 
       2*s[67] + 2*s[68] + 2*s[69] + 2*s[70] + 3*s[72] - (3*s[73])/2 - 
       (15*s[74])/4 + (15*s[75])/4 - (7*s[77])/2 + (7*s[78])/2 + 55*s[79] - 
       (49*s[80])/3 + 37*s[82] + (9*s[83])/4 + (33*s[84])/2 + 14*s[85]) + 
     F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      ((7*s[2])/2 + (53*s[3])/2 + (471*s[4])/4 + (3027*s[5])/44 + 
       (4209*s[6])/22 + (431557*s[7])/264 - (82211*s[8])/594 - 
       (146291*s[9])/108 - (43681*s[10])/108 - (722831*s[11])/396 - 
       (801337*s[12])/396 - (122753*s[13])/99 - (24301*s[14])/198 - 
       (153965*s[15])/72 - (2173729*s[16])/792 - (815471*s[17])/396 - 
       (98311*s[18])/324 - (41557*s[19])/162 - (11217443*s[20])/3564 - 
       (4057037*s[21])/3564 + (3019111*s[22])/3564 + (1661747*s[23])/792 + 
       (12557051*s[24])/7128 - (37896913*s[25])/16038 + 
       (40785293*s[26])/32076 + s[30] + 2*s[31] + s[32]/2 + 2*s[33] - 
       4*s[34] - s[35] - (13*s[36])/2 + (35*s[37])/4 + (133*s[38])/2 - 
       (2047*s[39])/8 + (2203*s[40])/8 - (1665*s[41])/8 + (2921*s[42])/8 + 
       (18057*s[43])/88 - (39045*s[44])/176 + (17591*s[45])/88 - 
       (37313*s[46])/22 + (57487*s[47])/528 - (7127*s[48])/528 - 
       (502549*s[49])/528 + (55809*s[50])/44 + (43719*s[51])/176 + 
       (108467*s[52])/528 - (114271*s[53])/132 + (2193*s[54])/44 - 
       (944803*s[55])/176 - (757027*s[56])/528 + (216496*s[57])/99 - 
       (13350899*s[58])/4752 + (13408499*s[59])/4752 + 
       (42962893*s[60])/3168 - (15065605*s[61])/21384 - s[65]/2 - s[66] + 
       2*s[67] + 3*s[68] + 3*s[69] + s[70] + s[71]/2 + 2*s[72] - 6*s[73] - 
       (3*s[74])/2 + (3*s[75])/2 - 2*s[76] - s[77] + 4*s[78] + 8*s[79] - 
       (5*s[80])/2 + 37*s[82] + (9*s[83])/4 + (33*s[84])/2 + 14*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*
      ((3*s[2])/2 - (7*s[3])/4 - (285*s[4])/8 - (763*s[5])/88 - 
       (1543*s[6])/44 - (55689*s[7])/176 + (16790*s[8])/297 + 
       (52481*s[9])/216 + (10807*s[10])/216 + (570577*s[11])/1584 + 
       (340171*s[12])/792 + (389497*s[13])/1584 - (90569*s[14])/1584 + 
       (55589*s[15])/144 + (52438*s[16])/99 + (574045*s[17])/1584 + 
       (34027*s[18])/648 + (33629*s[19])/648 + (3734633*s[20])/7128 + 
       (2363671*s[21])/14256 - (2239661*s[22])/14256 - (62429*s[23])/99 - 
       (268022*s[24])/891 + (64553767*s[25])/128304 - 
       (30429043*s[26])/128304 + 2*s[29] - s[30] + 2*s[31] + s[32]/2 + 
       4*s[33] - 2*s[34] + s[35]/2 + (5*s[36])/2 + s[37]/3 + 91*s[38] - 
       (1257*s[39])/4 + (1471*s[40])/4 - (1175*s[41])/4 + 429*s[42] + 
       (14907*s[43])/44 - (58381*s[44])/176 + (15868*s[45])/33 - 
       (428641*s[46])/132 + (21953*s[47])/528 + (102605*s[48])/528 - 
       (802331*s[49])/528 + (111247*s[50])/44 + (158993*s[51])/528 + 
       (129097*s[52])/528 - (1381117*s[53])/792 - (724*s[54])/33 - 
       (6052853*s[55])/528 - (4765687*s[56])/1584 + (3423335*s[57])/2376 - 
       (67157741*s[58])/14256 + (67923569*s[59])/14256 + 
       (87507193*s[60])/3168 - (95961733*s[61])/64152 + s[65]/2 + s[66] - 
       2*s[67] - 2*s[68] - 3*s[69] - (3*s[71])/2 - s[72] + 5*s[73] + 
       s[74]/4 - s[75]/4 - 2*s[76] + (5*s[77])/2 - 4*s[78] + 36*s[79] - 
       (4*s[80])/3 + 54*s[82] - (3*s[83])/2 + 9*s[84] + 16*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
      ((41*s[3])/4 - (285*s[4])/8 - (323*s[5])/88 - (1279*s[6])/44 - 
       (61673*s[7])/176 + (33481*s[8])/594 + (61787*s[9])/216 + 
       (13111*s[10])/216 + (628393*s[11])/1584 + (375019*s[12])/792 + 
       (434641*s[13])/1584 - (85817*s[14])/1584 + (60485*s[15])/144 + 
       (113489*s[16])/198 + (590677*s[17])/1584 + (30229*s[18])/648 + 
       (32513*s[19])/648 + (4283885*s[20])/7128 + (2502271*s[21])/14256 - 
       (2671301*s[22])/14256 - (248627*s[23])/396 - (303464*s[24])/891 + 
       (70726219*s[25])/128304 - (31882759*s[26])/128304 + 2*s[29] - s[30] + 
       s[32] + s[33]/4 + s[35]/2 + 8*s[36] - (23*s[37])/6 - (7*s[38])/2 + 
       (599*s[39])/8 - (679*s[40])/8 + (537*s[41])/8 - (979*s[42])/8 - 
       (6001*s[43])/88 + (3329*s[44])/44 - (1615*s[45])/33 + 
       (150437*s[46])/264 - (7937*s[47])/264 - (751*s[48])/132 + 
       (76391*s[49])/264 - (19685*s[50])/44 - (10231*s[51])/132 - 
       (16333*s[52])/264 + (259189*s[53])/792 - (2201*s[54])/132 + 
       (124507*s[55])/66 + (412967*s[56])/792 - (1511531*s[57])/2376 + 
       (6467281*s[58])/7128 - (823331*s[59])/891 - (772963*s[60])/176 + 
       (33350039*s[61])/128304 + s[65]/2 + s[66] - 2*s[67] - 2*s[68] - 
       3*s[69] - 2*s[70] - (3*s[71])/2 - s[72] + 2*s[73] + (5*s[74])/4 - 
       (5*s[75])/4 + 2*s[76] + (5*s[77])/2 - 3*s[78] - 6*s[79] + 
       (34*s[80])/3 + 54*s[82] - (3*s[83])/2 + 9*s[84] + 16*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*Phi6[u, v, w]*
      (8*s[2] - (23*s[3])/4 - (41*s[4])/2 + (1565*s[5])/88 + (4905*s[6])/88 + 
       (64099*s[7])/528 - (27491*s[8])/2376 - (2576*s[9])/27 - 
       (9335*s[10])/216 - (202793*s[11])/1584 - (48349*s[12])/396 - 
       (148295*s[13])/1584 - (213599*s[14])/1584 - (15739*s[15])/144 - 
       (37759*s[16])/198 - (302711*s[17])/1584 - (21871*s[18])/324 + 
       (34853*s[19])/648 - (2106025*s[20])/7128 - (2766023*s[21])/14256 + 
       (832237*s[22])/14256 + (50195*s[23])/792 + (665201*s[24])/7128 - 
       (797336*s[25])/8019 + (4536149*s[26])/32076 - (3*s[30])/2 + s[31] - 
       (3*s[32])/2 - (15*s[33])/8 + (3*s[34])/2 + 3*s[37] - 18*s[39] + 
       24*s[40] - 12*s[41] + 33*s[42] + (102*s[43])/11 - (150*s[44])/11 + 
       (144*s[45])/11 - (1003*s[46])/11 + (199*s[47])/11 - (131*s[48])/11 - 
       (124*s[49])/11 + (204*s[50])/11 + (224*s[51])/11 + (293*s[52])/11 - 
       (254*s[53])/11 + (972*s[54])/11 - (1634*s[55])/11 - (1866*s[56])/11 + 
       (5743*s[57])/11 - (9541*s[58])/33 + (7753*s[59])/33 + 
       (11531*s[60])/33 - (2224*s[61])/33 + s[68] - 4*s[73] + 80*s[82] - 
       (3*s[83])/4 + (21*s[84])/2 + 22*s[85]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*Phi6[u, v, w]*((13*s[2])/4 + (95*s[3])/8 - 
       (87*s[4])/16 + (4911*s[5])/88 + (22389*s[6])/176 + 
       (728159*s[7])/1056 - (129935*s[8])/4752 - (31301*s[9])/54 - 
       (26093*s[10])/108 - (2340911*s[11])/3168 - (592411*s[12])/792 - 
       (1454657*s[13])/3168 - (986399*s[14])/3168 - (256147*s[15])/288 - 
       (465085*s[16])/396 - (3282161*s[17])/3168 - (15080*s[18])/81 - 
       (81475*s[19])/1296 - (21767743*s[20])/14256 - (19153733*s[21])/28512 + 
       (9844597*s[22])/28512 + (268495*s[23])/792 + (1358083*s[24])/1782 - 
       (106176379*s[25])/128304 + (75552043*s[26])/128304 - s[29] - 
       (3*s[30])/2 - s[32] - 4*s[33] + (3*s[34])/2 - s[35]/2 + (21*s[36])/4 - 
       (37*s[37])/6 + (229*s[38])/4 - (2959*s[39])/16 + (3467*s[40])/16 - 
       (2653*s[41])/16 + (3757*s[42])/16 + (41025*s[43])/176 - 
       (73233*s[44])/352 + (103073*s[45])/264 - (1242979*s[46])/528 + 
       (653*s[47])/352 + (73803*s[48])/352 - (348415*s[49])/352 + 
       (19336*s[50])/11 + (59735*s[51])/352 + (54181*s[52])/352 - 
       (978613*s[53])/792 + (3127*s[54])/66 - (8714041*s[55])/1056 - 
       (7277621*s[56])/3168 + (183955*s[57])/297 - (95966203*s[58])/28512 + 
       (94310077*s[59])/28512 + (125288851*s[60])/6336 - 
       (305436601*s[61])/256608 + s[68] + 3*s[70] - s[71] - s[72] + 
       (3*s[73])/2 + s[74]/4 - s[75]/4 + 2*s[76] - s[77]/2 - (9*s[78])/2 - 
       3*s[79] + (13*s[80])/6 + 80*s[82] - (3*s[83])/4 + (21*s[84])/2 + 
       22*s[85]) + F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*((-3*s[35])/2 - (53*s[36])/12 + (8*s[37])/3 + 
       (301*s[38])/4 - (5003*s[39])/16 + (16997*s[40])/48 - (4537*s[41])/16 + 
       (21619*s[42])/48 + (147967*s[43])/528 - (321503*s[44])/1056 + 
       (85867*s[45])/264 - (446561*s[46])/176 + (299113*s[47])/3168 + 
       (200575*s[48])/3168 - (4146211*s[49])/3168 + (130445*s[50])/66 + 
       (1003259*s[51])/3168 + (763121*s[52])/3168 - (359921*s[53])/264 + 
       (13*s[54])/11 - (3041431*s[55])/352 - (7015961*s[56])/3168 + 
       (2403763*s[57])/1188 - (110283823*s[58])/28512 + 
       (112192921*s[59])/28512 + (398247493*s[60])/19008 - 
       (283784269*s[61])/256608 + s[70] + s[72] - s[73]/2 - (7*s[74])/4 + 
       (7*s[75])/4 - (3*s[77])/2 + s[78]/2 + 25*s[79] - (49*s[80])/6 + 
       84*s[82] + 16*s[84] + 24*s[85]) + F1[w, u, v]*HPL[{0, 0, 1}, 1 - v]*
      ((29*s[2])/4 + (35*s[3])/8 + (5955*s[4])/16 + (2301*s[5])/8 + 
       (11361*s[6])/16 + (623257*s[7])/96 - (214807*s[8])/432 - 
       (1188731*s[9])/216 - (190673*s[10])/108 - (2061337*s[11])/288 - 
       (140933*s[12])/18 - (1356499*s[13])/288 - (268297*s[14])/288 - 
       (2466235*s[15])/288 - (197101*s[16])/18 - (2420587*s[17])/288 - 
       (768535*s[18])/648 - (1282771*s[19])/1296 - (16893641*s[20])/1296 - 
       (12263779*s[21])/2592 + (8889275*s[22])/2592 + (63373*s[23])/9 + 
       (4668677*s[24])/648 - (52801429*s[25])/5832 + (29127379*s[26])/5832 - 
       s[30] + s[31] - (15*s[33])/8 - s[34] - (5*s[35])/2 - (23*s[36])/3 + 
       21*s[37] + 235*s[38] - (7085*s[39])/8 + (24079*s[40])/24 - 
       (6297*s[41])/8 + (30029*s[42])/24 + (214457*s[43])/264 - 
       (112357*s[44])/132 + (20321*s[45])/22 - (1884935*s[46])/264 + 
       (203941*s[47])/792 + (84827*s[48])/396 - (2933131*s[49])/792 + 
       (181987*s[50])/33 + (87214*s[51])/99 + (558521*s[52])/792 - 
       (1483235*s[53])/396 + (5651*s[54])/132 - (3163909*s[55])/132 - 
       (4983601*s[56])/792 + (14458447*s[57])/2376 - (78644897*s[58])/7128 + 
       (39622855*s[59])/3564 + (281723437*s[60])/4752 - 
       (395575387*s[61])/128304 + 3*s[70] - s[71]/2 + s[72] - s[73] - 
       (13*s[74])/4 + (13*s[75])/4 - s[76] - (5*s[77])/2 + 96*s[79] - 
       27*s[80] + 111*s[82] + 3*s[83] + 30*s[84] + 36*s[85]) + 
     F1[w, u, v]*HPL[{0, 0, 1}, 1 - u]*((57*s[2])/4 + (395*s[3])/8 + 
       (7567*s[4])/16 + (17609*s[5])/44 + (167309*s[6])/176 + 
       (2934181*s[7])/352 - (3028159*s[8])/4752 - (189911*s[9])/27 - 
       (484895*s[10])/216 - (29121067*s[11])/3168 - (7938407*s[12])/792 - 
       (19115749*s[13])/3168 - (3804439*s[14])/3168 - (3180251*s[15])/288 - 
       (5580857*s[16])/396 - (34634965*s[17])/3168 - (509491*s[18])/324 - 
       (1630619*s[19])/1296 - (237933419*s[20])/14256 - 
       (175429393*s[21])/28512 + (124511837*s[22])/28512 + 
       (3675733*s[23])/396 + (65212949*s[24])/7128 - (1488707129*s[25])/
        128304 + (829345169*s[26])/128304 + 5*s[31] + (11*s[33])/8 - 
       7*s[34] - (9*s[35])/2 - (56*s[36])/3 + (129*s[37])/4 + 305*s[38] - 
       (9223*s[39])/8 + (30397*s[40])/24 - (7779*s[41])/8 + 
       (39083*s[42])/24 + (23977*s[43])/24 - (25147*s[44])/24 + 
       (9007*s[45])/8 - (105371*s[46])/12 + (29789*s[47])/72 + 
       (4579*s[48])/36 - (330143*s[49])/72 + (19985*s[50])/3 + 
       (10109*s[51])/9 + (33215*s[52])/36 - (329063*s[53])/72 + 
       (1609*s[54])/12 - (173587*s[55])/6 - (553583*s[56])/72 + 
       (1879691*s[57])/216 - (1127417*s[58])/81 + (2262925*s[59])/162 + 
       (1932845*s[60])/27 - (22176841*s[61])/5832 - s[65] - 2*s[66] + 
       4*s[67] + 5*s[68] + 5*s[69] + 3*s[70] + s[71]/2 + 5*s[72] - 9*s[73] - 
       (21*s[74])/4 + (21*s[75])/4 - 7*s[76] - (3*s[77])/2 + 9*s[78] + 
       62*s[79] - (33*s[80])/2 + 111*s[82] + 3*s[83] + 30*s[84] + 36*s[85]) + 
     F1[w, u, v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((29*s[2])/4 + (65*s[3])/8 + (1717*s[4])/16 + (750*s[5])/11 + 
       (35963*s[6])/176 + (2002729*s[7])/1056 - (660245*s[8])/4752 - 
       (170599*s[9])/108 - (140995*s[10])/216 - (6334241*s[11])/3168 - 
       (1624519*s[12])/792 - (3714167*s[13])/3168 - (1374149*s[14])/3168 - 
       (794509*s[15])/288 - (2682701*s[16])/792 - (9308687*s[17])/3168 - 
       (102299*s[18])/324 - (471037*s[19])/1296 - (57330061*s[20])/14256 - 
       (40359995*s[21])/28512 + (28238335*s[22])/28512 + 
       (1251037*s[23])/792 + (7876409*s[24])/3564 - (316483399*s[25])/
        128304 + (176559499*s[26])/128304 - s[29] - s[30] + 3*s[31] + 
       (61*s[33])/8 + s[34] - (11*s[35])/2 - s[36]/6 - (179*s[37])/12 - 
       (23*s[38])/2 - (187*s[39])/4 + (983*s[40])/12 - 99*s[41] + 
       (1123*s[42])/12 + (941*s[43])/12 - (5117*s[44])/48 + (3691*s[45])/24 - 
       (27551*s[46])/24 - (5219*s[47])/144 + (16465*s[48])/144 - 
       (62023*s[49])/144 + (12641*s[50])/12 + (10889*s[51])/144 + 
       (1025*s[52])/144 - (53251*s[53])/72 - (1123*s[54])/12 - 
       (75729*s[55])/16 - (53611*s[56])/48 - (66191*s[57])/72 - 
       (19361*s[58])/16 + (186691*s[59])/144 + (9035887*s[60])/864 - 
       (2278655*s[61])/3888 + s[68] + 2*s[70] + s[72] - (3*s[74])/4 + 
       (3*s[75])/4 + s[76] - (3*s[77])/2 - 3*s[78] + 39*s[79] - 
       (95*s[80])/6 + 155*s[82] - (3*s[83])/4 + (45*s[84])/2 + 40*s[85]) + 
     F1[w, u, v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((27*s[2])/4 + (5*s[3])/8 + (1993*s[4])/16 + (1216*s[5])/11 + 
       (48247*s[6])/176 + (2640317*s[7])/1056 - (845777*s[8])/4752 - 
       (57118*s[9])/27 - (173911*s[10])/216 - (8425541*s[11])/3168 - 
       (2186059*s[12])/792 - (5030483*s[13])/3168 - (1837241*s[14])/3168 - 
       (1026097*s[15])/288 - (3492497*s[16])/792 - (11874443*s[17])/3168 - 
       (36239*s[18])/81 - (545857*s[19])/1296 - (75527641*s[20])/14256 - 
       (54917735*s[21])/28512 + (37501003*s[22])/28512 + 
       (1757095*s[23])/792 + (10161839*s[24])/3564 - (418331191*s[25])/
        128304 + (238792891*s[26])/128304 - s[30] + s[31] + (3*s[32])/2 - 
       (21*s[33])/8 + s[34] - (5*s[35])/2 - (20*s[36])/3 - (77*s[37])/12 + 
       (65*s[38])/2 - (1697*s[39])/8 + (6259*s[40])/24 - (1879*s[41])/8 + 
       (7823*s[42])/24 + (58493*s[43])/264 - (17015*s[44])/66 + 
       (91181*s[45])/264 - (332609*s[46])/132 + (17947*s[47])/792 + 
       (26011*s[48])/198 - (862429*s[49])/792 + (137195*s[50])/66 + 
       (46349*s[51])/198 + (109943*s[52])/792 - (1163663*s[53])/792 - 
       (7819*s[54])/66 - (1241279*s[55])/132 - (210277*s[56])/88 + 
       (360949*s[57])/792 - (1013048*s[58])/297 + (2096245*s[59])/594 + 
       (51011165*s[60])/2376 - (8543615*s[61])/7128 + 2*s[68] - s[69] + 
       2*s[70] + s[72] - 5*s[73] - (9*s[74])/4 + (9*s[75])/4 + s[76] - 
       s[77]/2 + 48*s[79] - (95*s[80])/6 + 155*s[82] - (3*s[83])/4 + 
       (45*s[84])/2 + 40*s[85]) + F1[u, v, w]*HPL[{0, 1, 1}, 1 - u]*
      (-6*s[2] - 101*s[4] - (1157*s[5])/11 - (2258*s[6])/11 - 
       (64831*s[7])/33 + (16421*s[8])/99 + (30155*s[9])/18 + (4322*s[10])/9 + 
       (72739*s[11])/33 + (81689*s[12])/33 + (16525*s[13])/11 + 
       (14057*s[14])/66 + 2486*s[15] + (35572*s[16])/11 + (76988*s[17])/33 + 
       (10331*s[18])/27 + (7144*s[19])/27 + (2305307*s[20])/594 + 
       (426241*s[21])/297 - (617299*s[22])/594 - (51981*s[23])/22 - 
       (635087*s[24])/297 + (15030527*s[25])/5346 - (8327795*s[26])/5346 + 
       2*s[32] - (3*s[33])/2 - 12*s[37] - 96*s[38] + 312*s[39] - 336*s[40] + 
       240*s[41] - 420*s[42] - (3048*s[43])/11 + (2976*s[44])/11 - 
       (3216*s[45])/11 + (24098*s[46])/11 - (1236*s[47])/11 - 
       (444*s[48])/11 + (13344*s[49])/11 - (17448*s[50])/11 - 
       (3096*s[51])/11 - (2844*s[52])/11 + (11928*s[53])/11 - 
       (1116*s[54])/11 + (76496*s[55])/11 + (20796*s[56])/11 - 
       (28626*s[57])/11 + (39972*s[58])/11 - (39876*s[59])/11 - 
       (195848*s[60])/11 + (91940*s[61])/99 - 2*s[68] + 8*s[73] + 160*s[82] - 
       (3*s[83])/2 + 21*s[84] + 44*s[85]) + F1[v, w, u]*HPL[{0, 1, 1}, 1 - v]*
      (-3*s[2] - (13*s[3])/2 - (497*s[4])/4 - (3059*s[5])/22 - 
       (12345*s[6])/44 - (653669*s[7])/264 + (232787*s[8])/1188 + 
       (57058*s[9])/27 + (16490*s[10])/27 + (2193167*s[11])/792 + 
       (305552*s[12])/99 + (1480973*s[13])/792 + (251963*s[14])/792 + 
       (226153*s[15])/72 + (1619743*s[16])/396 + (2372441*s[17])/792 + 
       (40700*s[18])/81 + (102715*s[19])/324 + (17497981*s[20])/3564 + 
       (13193357*s[21])/7128 - (9280153*s[22])/7128 - (1140485*s[23])/396 - 
       (9482435*s[24])/3564 + (112330183*s[25])/32076 - 
       (63152473*s[26])/32076 + 2*s[29] - 2*s[31] + 6*s[33] + 2*s[34] - 
       2*s[35] + (17*s[36])/2 - (91*s[37])/6 - (73*s[38])/2 + (595*s[39])/8 - 
       (359*s[40])/8 + s[41]/8 - (749*s[42])/8 + (923*s[43])/88 - 
       (1649*s[44])/176 + (6707*s[45])/66 - (140963*s[46])/264 - 
       (57125*s[47])/528 + (100681*s[48])/528 - (34105*s[49])/528 + 
       (6311*s[50])/11 - (28003*s[51])/528 - (47413*s[52])/528 - 
       (39557*s[53])/99 - (3856*s[54])/33 - (1460161*s[55])/528 - 
       (1026841*s[56])/1584 - (2345639*s[57])/1188 - (1945355*s[58])/14256 + 
       (2688557*s[59])/14256 + (2055763*s[60])/352 - 
       (45107981*s[61])/128304 - 2*s[68] + 4*s[70] + s[73] + s[74] - s[75] + 
       4*s[76] - 2*s[77] - 5*s[78] + 46*s[79] - (64*s[80])/3 + 160*s[82] - 
       (3*s[83])/2 + 21*s[84] + 44*s[85]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*((23*s[2])/2 + (205*s[3])/4 + 
       (5313*s[4])/8 + (5735*s[5])/11 + (117099*s[6])/88 + 
       (18496267*s[7])/1584 - (718213*s[8])/792 - (354229*s[9])/36 - 
       (58027*s[10])/18 - (6761033*s[11])/528 - (918061*s[12])/66 - 
       (13209257*s[13])/1584 - (930617*s[14])/528 - (2244157*s[15])/144 - 
       (15697471*s[16])/792 - (24525757*s[17])/1584 - (233341*s[18])/108 - 
       (386323*s[19])/216 - (55852411*s[20])/2376 - (13582429*s[21])/1584 + 
       (29081387*s[22])/4752 + (10021817*s[23])/792 + (30722845*s[24])/2376 - 
       (38429873*s[25])/2376 + (21373637*s[26])/2376 + s[29] + 2*s[31] - 
       (9*s[33])/4 + 2*s[34] - 4*s[35] - 24*s[36] + (64*s[37])/3 + 
       (823*s[38])/2 - (6431*s[39])/4 + (7295*s[40])/4 - 1433*s[41] + 
       2276*s[42] + (67109*s[43])/44 - (17355*s[44])/11 + 
       (249841*s[45])/132 - (923129*s[46])/66 + (14074*s[47])/33 + 
       (63193*s[48])/132 - (228760*s[49])/33 + (474789*s[50])/44 + 
       (34557*s[51])/22 + (166625*s[52])/132 - (5924005*s[53])/792 + 
       (4495*s[54])/66 - (3166729*s[55])/66 - (1250233*s[56])/99 + 
       (12005635*s[57])/1188 - (18905330*s[58])/891 + (19147709*s[59])/891 + 
       (3827455*s[60])/33 - (401981053*s[61])/64152 - 2*s[68] + 4*s[70] - 
       s[71] + 4*s[72] - (11*s[74])/2 + (11*s[75])/2 - 6*s[76] - 4*s[77] + 
       4*s[78] + 132*s[79] - (94*s[80])/3 + 372*s[82] + s[83] + 62*s[84] + 
       96*s[85]) + HPL[{1}, 1 - u]^2*Phi6[u, v, w]*(35*s[82] + (3*s[83])/4 + 
       (3*s[84])/2)*\[Zeta][2] + HPL[{1}, 1 - v]^2*Phi6[u, v, w]*
      (-s[35] - (5*s[36])/2 - (73*s[37])/6 + (25*s[38])/2 - (723*s[39])/8 + 
       (775*s[40])/8 - (809*s[41])/8 + (1093*s[42])/8 + (6329*s[43])/88 - 
       (19221*s[44])/176 - (2150*s[45])/33 - (51257*s[46])/264 - 
       (1565*s[47])/528 + (20941*s[48])/528 - (259393*s[49])/528 + 
       (5975*s[50])/22 + (13427*s[51])/176 + (6491*s[52])/528 - 
       (27283*s[53])/198 - (14615*s[54])/66 - (246041*s[55])/528 + 
       (424751*s[56])/1584 + (54569*s[57])/594 - (972743*s[58])/14256 + 
       (3844301*s[59])/14256 + (757667*s[60])/352 + (14624029*s[61])/128304 - 
       s[65]/2 - 2*s[66] + 2*s[67] - s[68] + 7*s[69] + s[71]/2 + 2*s[72] - 
       4*s[73] - 2*s[74] + 2*s[75] + 2*s[76] - 4*s[77] + 3*s[78] + 3*s[79] - 
       (10*s[80])/3 + 35*s[82] + (3*s[83])/4 + (3*s[84])/2)*\[Zeta][2] + 
     HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*(-7*s[2] + (139*s[3])/2 + 
       (659*s[4])/4 + (1071*s[5])/22 + (6865*s[6])/44 + (210935*s[7])/132 - 
       (149081*s[8])/1188 - (143719*s[9])/108 - (8978*s[10])/27 - 
       (719935*s[11])/396 - (206798*s[12])/99 - (526051*s[13])/396 + 
       (15205*s[14])/198 - (36949*s[15])/18 - (1046347*s[16])/396 - 
       (170761*s[17])/99 - (93971*s[18])/324 - (42401*s[19])/162 - 
       (5262335*s[20])/1782 - (849547*s[21])/891 + (743915*s[22])/891 + 
       (998039*s[23])/396 + (5841893*s[24])/3564 - (160243859*s[25])/64152 + 
       (79346963*s[26])/64152 + 4*s[29] + 3*s[30] + 2*s[31] - s[32] + 
       (51*s[33])/4 - 11*s[34] + (25*s[37])/2 + 61*s[38] - (415*s[39])/2 + 
       (465*s[40])/2 - (315*s[41])/2 + 288*s[42] + (3699*s[43])/22 - 
       (7571*s[44])/44 + (1920*s[45])/11 - (28613*s[46])/22 + 
       (4457*s[47])/44 + (299*s[48])/44 - (32401*s[49])/44 + 
       (9859*s[50])/11 + (26347*s[51])/132 + (8473*s[52])/44 - 
       (18806*s[53])/33 + (1421*s[54])/11 - (482375*s[55])/132 - 
       (153481*s[56])/132 + (239689*s[57])/99 - (2863493*s[58])/1188 + 
       (2689343*s[59])/1188 + (2665367*s[60])/264 - (6156155*s[61])/10692 + 
       s[68] + 3*s[69] - 2*s[70] - 14*s[73] - 6*s[76] + 9*s[77] - 309*s[82] - 
       20*s[85])*\[Zeta][2] + HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*
      ((-7*s[2])/2 - (37*s[3])/4 + (959*s[4])/8 - (1193*s[5])/44 + 
       (1547*s[6])/88 + (259553*s[7])/528 - (164909*s[8])/2376 - 
       (20959*s[9])/54 + (1718*s[10])/27 - (1045901*s[11])/1584 - 
       (187085*s[12])/198 - (1034159*s[13])/1584 + (629911*s[14])/1584 - 
       (50941*s[15])/144 - (123085*s[16])/198 + (178357*s[17])/1584 - 
       (12593*s[18])/162 - (12481*s[19])/648 - (3650221*s[20])/7128 + 
       (75685*s[21])/14256 + (4100851*s[22])/14256 + (345941*s[23])/198 + 
       (1280803*s[24])/3564 - (69540151*s[25])/64152 + 
       (20863507*s[26])/64152 + 4*s[29] + 3*s[30] + 2*s[32] + (41*s[33])/2 - 
       9*s[34] + 9*s[35] + (27*s[36])/2 + (235*s[37])/6 - (81*s[38])/2 + 
       (1163*s[39])/8 - (1247*s[40])/8 + (1481*s[41])/8 - (1133*s[42])/8 - 
       (32685*s[43])/88 + (48635*s[44])/176 - (27809*s[45])/66 + 
       (743597*s[46])/264 + (42461*s[47])/176 - (90265*s[48])/176 + 
       (321769*s[49])/176 - (55145*s[50])/22 + (4195*s[51])/176 + 
       (16309*s[52])/176 + (731033*s[53])/396 + (47285*s[54])/66 + 
       (6148619*s[55])/528 + (3178915*s[56])/1584 + (4747439*s[57])/1188 + 
       (33285089*s[58])/14256 - (45605999*s[59])/14256 - 
       (86295521*s[60])/3168 + (150937763*s[61])/128304 + 2*s[65] + 4*s[66] - 
       8*s[67] + 2*s[68] - 28*s[69] - 8*s[70] - 4*s[72] + 35*s[73] - 
       4*s[74] + 4*s[75] - 2*s[76] + 24*s[77] - 13*s[78] + 56*s[79] - 
       (98*s[80])/3 - 309*s[82] - 20*s[85])*\[Zeta][2] + 
     F1[w, u, v]*HPL[{1}, 1 - u]*(-158*s[82] + 4*s[85])*\[Zeta][2] + 
     F1[w, u, v]*HPL[{1}, 1 - v]*(-6*s[35] + (57*s[36])/2 - 10*s[37] - 
       (209*s[38])/2 + (1371*s[39])/8 - (1679*s[40])/8 + (1313*s[41])/8 - 
       (893*s[42])/8 - (40693*s[43])/88 + (48503*s[44])/176 - 
       (30379*s[45])/44 + (328965*s[46])/88 + (130639*s[47])/528 - 
       (283907*s[48])/528 + (997163*s[49])/528 - (33089*s[50])/11 + 
       (2993*s[51])/528 - (16237*s[52])/528 + (294307*s[53])/132 + 
       (6108*s[54])/11 + (2632217*s[55])/176 + (581035*s[56])/176 + 
       (385339*s[57])/132 + (6578285*s[58])/1584 - (7658327*s[59])/1584 - 
       (109323581*s[60])/3168 + (7870075*s[61])/4752 - 2*s[65] - 8*s[66] + 
       12*s[67] + 12*s[68] + 6*s[69] + 3*s[71] + 12*s[72] + 29*s[73] - 
       9*s[74] + 9*s[75] + 30*s[76] + 4*s[77] - 15*s[78] - 14*s[79] - 
       7*s[80] - 158*s[82] + 4*s[85])*\[Zeta][2] + 
     F1[v, w, u]*HPL[{1}, 1 - u]*(48*s[82] + 8*s[85])*\[Zeta][2] + 
     F1[u, v, w]*HPL[{1}, 1 - v]*(-9*s[37] + 5*s[38] - (135*s[39])/2 + 
       (171*s[40])/2 - 81*s[41] + 107*s[42] + (1809*s[43])/22 - 
       (4119*s[44])/44 + (417*s[45])/11 - (11007*s[46])/22 - (322*s[47])/33 + 
       (3811*s[48])/66 - (13004*s[49])/33 + (4779*s[50])/11 + 
       (2342*s[51])/33 + (4129*s[52])/132 - (3288*s[53])/11 - 
       (855*s[54])/22 - (19299*s[55])/11 - (9472*s[56])/33 - 
       (8785*s[57])/198 - (165701*s[58])/297 + (394375*s[59])/594 + 
       (872645*s[60])/198 - (1722227*s[61])/10692 - 2*s[68] + 2*s[69] - 
       2*s[77] + 48*s[82] + 8*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Phi6[u, v, w]*(-22*s[82] - (3*s[83])/2 - 
       3*s[84] + 8*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Phi6[u, v, w]*(9*s[36] + 3*s[37] - 17*s[38] + (37*s[39])/4 + 
       (23*s[40])/4 + (43*s[41])/4 + (89*s[42])/4 - (1607*s[43])/44 + 
       (3213*s[44])/88 - s[45]/11 + (7785*s[46])/44 + (18247*s[47])/264 - 
       (28943*s[48])/264 + (96971*s[49])/264 - (6227*s[50])/22 + 
       (14413*s[51])/264 + (20633*s[52])/264 + (5173*s[53])/33 + 
       (4957*s[54])/11 + (85045*s[55])/88 - (49519*s[56])/264 + 
       (103820*s[57])/99 - (473405*s[58])/2376 - (162733*s[59])/2376 - 
       (4747601*s[60])/1584 - (1769297*s[61])/21384 + 2*s[68] - 4*s[69] + 
       8*s[73] + s[74] - s[75] + 4*s[76] + 2*s[77] - 6*s[78] - 6*s[79] - 
       2*s[80] - 22*s[82] - (3*s[83])/2 - 3*s[84] + 8*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Phi6[u, v, w]*(-s[35] + s[36] + 
       (77*s[37])/6 - 29*s[38] + (151*s[39])/2 - (201*s[40])/2 + 101*s[41] - 
       (223*s[42])/2 - (775*s[43])/22 + (7149*s[44])/88 - (3695*s[45])/132 + 
       (34571*s[46])/132 - (4409*s[47])/264 - (2429*s[48])/264 + 
       (76763*s[49])/264 - (6137*s[50])/22 - (9967*s[51])/88 - 
       (14473*s[52])/264 + (60013*s[53])/396 + (4567*s[54])/66 + 
       (267893*s[55])/264 + (48919*s[56])/792 - (646307*s[57])/1188 + 
       (3091775*s[58])/7128 - (3962093*s[59])/7128 - (3611431*s[60])/1584 + 
       (1973879*s[61])/64152 - s[65] - 2*s[66] + 4*s[67] + 4*s[68] + 
       6*s[69] + 2*s[70] + 3*s[71] + 2*s[72] + (5*s[74])/2 - (5*s[75])/2 + 
       2*s[76] + s[77] - 2*s[78] - 4*s[79] - (73*s[80])/3 + 92*s[82] + 
       16*s[85])*\[Zeta][2] + F1[u, v, w]*HPL[{1}, 1 - u]*
      (294*s[82] + 20*s[85])*\[Zeta][2] + F1[v, w, u]*HPL[{1}, 1 - v]*
      (3*s[35] + (3*s[36])/2 - (34*s[37])/3 + (179*s[38])/2 - 
       (2417*s[39])/8 + (2773*s[40])/8 - (2547*s[41])/8 + (2859*s[42])/8 + 
       (42479*s[43])/88 - (69803*s[44])/176 + (64475*s[45])/132 - 
       (930517*s[46])/264 - (79019*s[47])/528 + (259627*s[48])/528 - 
       (1197079*s[49])/528 + (32166*s[50])/11 + (27437*s[51])/176 + 
       (34685*s[52])/528 - (205549*s[53])/99 - (37249*s[54])/66 - 
       (2323881*s[55])/176 - (4179599*s[56])/1584 - (479140*s[57])/297 - 
       (55428553*s[58])/14256 + (65529847*s[59])/14256 + 
       (102310865*s[60])/3168 - (175094575*s[61])/128304 - 8*s[68] + 
       16*s[69] + 2*s[70] - 2*s[72] - 29*s[73] + (9*s[74])/2 - (9*s[75])/2 - 
       12*s[76] - 9*s[77] + 13*s[78] + 14*s[79] + (19*s[80])/3 + 294*s[82] + 
       20*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*Phi6[u, v, w]*
      (-140*s[82] - 24*s[85])*\[Zeta][3] + HPL[{1}, 1 - v]*Phi6[u, v, w]*
      (-2*s[35] - (5*s[36])/3 + (33*s[37])/2 - 10*s[38] + (27*s[39])/4 - 
       (445*s[40])/12 + (175*s[41])/4 + (199*s[42])/12 - (15215*s[43])/132 + 
       (22783*s[44])/264 - (10889*s[45])/44 + (84631*s[46])/66 + 
       (99073*s[47])/792 - (218453*s[48])/792 + (417605*s[49])/792 - 
       (72679*s[50])/66 + (33611*s[51])/792 + (28583*s[52])/792 + 
       (79426*s[53])/99 + (6416*s[54])/33 + (487629*s[55])/88 + 
       (1000907*s[56])/792 + (1038595*s[57])/594 + (8764639*s[58])/7128 - 
       (10263427*s[59])/7128 - (57790493*s[60])/4752 + 
       (10904233*s[61])/16038 - s[65] - 2*s[66] + 2*s[67] + 8*s[68] - 
       2*s[70] + s[71] + 4*s[72] - 2*s[74] + 2*s[75] + 4*s[77] + 4*s[78] - 
       s[80] - 140*s[82] - 24*s[85])*\[Zeta][3]
 
SuvwCoproductEntries[yu] = HPL[{0, 0, 0, 0, 0, 0, 1}, 1 - u]*
      (-32*s[1] + 128*s[2]) + D2[v, u, w]*s[7] + D8[u, v, w]*s[10] + 
     D4[v, u, w]*s[11] + B1[v, w, u]*HPL[{1}, 1 - v]*s[11] + 
     D6[v, u, w]*s[12] + D9[u, w, v]*s[13] + D7[u, w, v]*s[15] + 
     D5[u, w, v]*s[18] + D3[v, w, u]*s[19] + D1[u, w, v]*s[22] + 
     3*D14[v, w, u]*s[37] + 3*D14[w, u, v]*s[37] + D2[v, w, u]*s[37] + 
     D2[w, v, u]*s[37] + (3*HPL[{1}, 1 - u]^5*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       s[37])/5 - 4*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 
       1 - u]*s[37] - 4*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1}, 1 - u]*s[37] + D15[v, w, u]*s[38] + 
     D15[w, u, v]*s[38] + D1[v, u, w]*s[45] + D1[w, u, v]*s[45] + 
     D12[v, u, w]*s[48] + D12[w, u, v]*s[48] + D10[v, u, w]*s[52] + 
     D10[w, u, v]*s[52] + B1[v, w, u]*HPL[{1}, 1 - w]*(s[15] - s[55]) - 
     B1[w, v, u]*HPL[{1}, 1 - v]*s[55] + B4[v, w, u]*HPL[{1}, 1 - v]*
      (-s[24] - 2*s[60]) - 2*B4[w, u, v]*HPL[{1}, 1 - w]*s[60] + 
     HPL[{1}, 1 - w]^2*Qep[u, v, w]*((32*s[4])/3 + (904*s[5])/11 + 
       (1290*s[6])/11 + (77530*s[7])/99 - (1538*s[8])/99 - (6142*s[9])/9 - 
       (2492*s[10])/9 - (24053*s[11])/33 - (56483*s[12])/99 - 
       (3600*s[13])/11 - (14162*s[14])/33 - (39710*s[15])/27 - 
       (140980*s[16])/99 - (161917*s[17])/99 - (1982*s[18])/27 - 
       (5782*s[19])/27 - (544942*s[20])/297 - (216548*s[21])/297 + 
       (113108*s[22])/297 + (729*s[23])/11 + (103441*s[24])/99 - 
       (2208187*s[25])/2673 + (1584073*s[26])/2673 - (80*s[38])/9 - 
       (32*s[39])/9 + (32*s[40])/9 - (32*s[41])/3 + (16*s[42])/9 + 
       (8336*s[43])/99 - (568*s[44])/33 + (16624*s[45])/99 - 
       (9248*s[46])/11 - (3022*s[47])/99 + (4634*s[48])/99 - 
       (24242*s[49])/99 + (64412*s[50])/99 - (11206*s[51])/297 - 
       (2432*s[52])/99 - (65200*s[53])/99 + (1600*s[54])/11 - 
       (142126*s[55])/33 - (81190*s[56])/99 - (673400*s[57])/297 - 
       (394298*s[58])/891 + (759950*s[59])/891 + (2244691*s[60])/297 - 
       (3118244*s[61])/8019) + HPL[{1}, 1 - w]^2*Qep[w, u, v]*
      ((-32*s[4])/3 + (2416*s[5])/33 + (3250*s[6])/33 + (53158*s[7])/99 + 
       (3670*s[8])/297 - (13222*s[9])/27 - (5588*s[10])/27 - 
       (47077*s[11])/99 - (3281*s[12])/11 - (18880*s[13])/99 - 
       (42538*s[14])/99 - (29002*s[15])/27 - (10972*s[16])/11 - 
       (14167*s[17])/11 - (2294*s[18])/81 - (13606*s[19])/81 - 
       (1208566*s[20])/891 - (504940*s[21])/891 + (230108*s[22])/891 - 
       (32941*s[23])/99 + (702995*s[24])/891 - (3954703*s[25])/8019 + 
       (3361333*s[26])/8019 + (128*s[37])/9 - (160*s[38])/9 + (224*s[39])/9 - 
       (224*s[40])/9 + (32*s[41])/3 - (352*s[42])/9 + (7408*s[43])/99 - 
       (76*s[44])/33 + (12032*s[45])/99 - (18640*s[46])/33 - 
       (5326*s[47])/99 + (5498*s[48])/99 - (18386*s[49])/99 + 
       (42052*s[50])/99 - (27590*s[51])/297 - (3644*s[52])/99 - 
       (47056*s[53])/99 + (3488*s[54])/33 - (104254*s[55])/33 - 
       (48518*s[56])/99 - (681280*s[57])/297 - (48706*s[58])/891 + 
       (398806*s[59])/891 + (1602859*s[60])/297 - (1831216*s[61])/8019) + 
     HPL[{1}, 1 - w]^5*HPL[{0, 1}, 1 - v]*((37*s[4])/4 - (37*s[5])/22 + 
       (2357*s[6])/352 + (59485*s[7])/1056 - (11971*s[8])/1056 - 
       (3929*s[9])/96 - (353*s[10])/48 - (45211*s[11])/704 - 
       (165457*s[12])/2112 - (25057*s[13])/528 + (8483*s[14])/352 - 
       (20783*s[15])/288 - (49981*s[16])/528 - (117995*s[17])/2112 - 
       (1789*s[18])/288 - (2993*s[19])/288 - (255461*s[20])/3168 - 
       (17107*s[21])/792 + (22303*s[22])/792 + (282355*s[23])/2112 + 
       (363577*s[24])/6336 - (5478013*s[25])/57024 + (2346895*s[26])/57024 - 
       (5*s[37])/12 + (31*s[38])/24 - (121*s[39])/12 + (121*s[40])/12 - 
       (37*s[41])/4 + (391*s[42])/24 + (401*s[43])/66 - (993*s[44])/176 + 
       (887*s[45])/132 - (762*s[46])/11 + (5765*s[47])/1056 - 
       (7523*s[48])/1056 - (9923*s[49])/352 + (27635*s[50])/528 + 
       (30317*s[51])/3168 + (1389*s[52])/176 - (447*s[53])/11 + 
       (655*s[54])/132 - (258649*s[55])/1056 - (25405*s[56])/352 + 
       (89593*s[57])/792 - (1173305*s[58])/9504 + (1223183*s[59])/9504 + 
       (3181855*s[60])/6336 - (1492177*s[61])/42768) + 
     HPL[{0, 0, 0, 0, 0, 0, 1}, 1 - v]*(-128*s[35] - 64*s[36] - 32*s[61]) + 
     HPL[{0, 0, 0, 0, 0, 0, 1}, 1 - w]*(-32*s[25] + 32*s[26] - 128*s[35] - 
       64*s[36] - 32*s[61]) + HPL[{1}, 1 - u]^3*HPL[{0, 0, 1, 1}, 1 - u]*
      ((169*s[5])/22 + (47*s[6])/11 + (6075*s[7])/88 - (125*s[8])/44 - 
       (245*s[9])/4 - (113*s[10])/4 - (5317*s[11])/88 - (1929*s[12])/44 - 
       (1707*s[13])/88 - (2833*s[14])/88 - (3491*s[15])/24 - 
       (5965*s[16])/44 - (13971*s[17])/88 - 7*s[18] - (85*s[19])/4 - 
       (7409*s[20])/44 - (18659*s[21])/264 + (8963*s[22])/264 + 
       (413*s[23])/22 + (3933*s[24])/44 - (77995*s[25])/1188 + 
       (62587*s[26])/1188 + (4*s[37])/3 + (67*s[43])/11 + (53*s[44])/44 + 
       (169*s[45])/11 - (778*s[46])/11 - (149*s[47])/44 - (105*s[48])/44 - 
       (1071*s[49])/44 + (684*s[50])/11 - (941*s[51])/132 - (119*s[52])/44 - 
       (1383*s[53])/22 - (72*s[54])/11 - (55321*s[55])/132 - 
       (2697*s[56])/44 - (5041*s[57])/22 - (1213*s[58])/44 + 
       (3623*s[59])/44 + (58563*s[60])/88 - (37523*s[61])/1188) + 
     HPL[{1}, 1 - v]^5*HPL[{0, 1}, 1 - u]*((447*s[5])/88 + (7243*s[6])/1056 + 
       (7869*s[7])/176 - (6847*s[8])/3168 - (11861*s[9])/288 - 
       (527*s[10])/36 - (94631*s[11])/2112 - (87809*s[12])/2112 - 
       (24293*s[13])/1056 - (5875*s[14])/264 - (2441*s[15])/36 - 
       (13725*s[16])/176 - (153301*s[17])/2112 - (14611*s[18])/864 + 
       (2935*s[19])/864 - (1007573*s[20])/9504 - (491057*s[21])/9504 + 
       (224341*s[22])/9504 + (99571*s[23])/2112 + (703319*s[24])/19008 - 
       (7777579*s[25])/171072 + (6873601*s[26])/171072 - (3*s[37])/4 + 
       (11*s[38])/24 - (37*s[39])/6 + (37*s[40])/6 - (23*s[41])/4 + 
       (257*s[42])/24 + (173*s[43])/132 - (219*s[44])/88 + (335*s[45])/66 - 
       (1983*s[46])/44 + (5239*s[47])/1056 - (9457*s[48])/1056 - 
       (2841*s[49])/352 + (18775*s[50])/528 + (25831*s[51])/3168 + 
       (151*s[52])/22 - (559*s[53])/22 + (1217*s[54])/132 - 
       (168307*s[55])/1056 - (19015*s[56])/352 + (8065*s[57])/99 - 
       (833671*s[58])/9504 + (782929*s[59])/9504 + (1886309*s[60])/6336 - 
       (74297*s[61])/2673) + HPL[{1}, 1 - w]^2*M1[v, u, w]*
      (4*s[4] + (16*s[5])/11 + (57*s[6])/11 + (5899*s[7])/132 - 
       (63*s[8])/11 - (71*s[9])/2 - (21*s[10])/2 - (1009*s[11])/22 - 
       (6421*s[12])/132 - (1185*s[13])/44 - (13*s[14])/44 - (2497*s[15])/36 - 
       (2537*s[16])/33 - (4219*s[17])/66 - (15*s[18])/2 - 7*s[19] - 
       (5605*s[20])/66 - (12125*s[21])/396 + (969*s[22])/44 + 
       (3033*s[23])/44 + (18527*s[24])/396 - (71771*s[25])/1188 + 
       (39917*s[26])/1188 - s[37] + s[38]/6 - (13*s[39])/3 + (13*s[40])/3 - 
       4*s[41] + (43*s[42])/6 + (112*s[43])/33 - (93*s[44])/44 + 
       (239*s[45])/33 - (559*s[46])/11 + (307*s[47])/132 - (551*s[48])/132 - 
       (1669*s[49])/132 + (1291*s[50])/33 + (1495*s[51])/396 + 
       (521*s[52])/132 - (1097*s[53])/33 + (106*s[54])/11 - 
       (28055*s[55])/132 - (7319*s[56])/132 - (557*s[57])/198 - 
       (81487*s[58])/1188 + (91999*s[59])/1188 + (305563*s[60])/792 - 
       (290731*s[61])/10692) + HPL[{1}, 1 - w]^2*Ot[u, v, w]*
      (14*s[4] - (193*s[5])/22 + (577*s[6])/176 + (5249*s[7])/176 - 
       (24941*s[8])/1584 - (1891*s[9])/144 + (671*s[10])/72 - 
       (50165*s[11])/1056 - (85865*s[12])/1056 - (6865*s[13])/132 + 
       (36035*s[14])/528 - (389*s[15])/144 - (11149*s[16])/264 + 
       (36329*s[17])/1056 - (1331*s[18])/432 - (691*s[19])/432 + 
       (52001*s[20])/4752 + (48523*s[21])/2376 + (37339*s[22])/2376 + 
       (207787*s[23])/1056 + (138955*s[24])/9504 - (7728335*s[25])/85536 + 
       (1794941*s[26])/85536 - (4*s[37])/3 + (17*s[38])/6 - (47*s[39])/3 + 
       (47*s[40])/3 - 14*s[41] + (76*s[42])/3 + (122*s[43])/33 - 
       (753*s[44])/88 - (62*s[45])/33 - (1043*s[46])/22 + (1763*s[47])/176 - 
       (2153*s[48])/176 - (4915*s[49])/176 + (8893*s[50])/264 + 
       (29093*s[51])/1584 + (1193*s[52])/88 - (159*s[53])/11 - 
       (35*s[54])/11 - (10655*s[55])/176 - (28795*s[56])/528 + 
       (69665*s[57])/198 - (775817*s[58])/4752 + (667547*s[59])/4752 + 
       (83155*s[60])/352 - (70583*s[61])/2673) + HPL[{1}, 1 - v]^2*
      Ot[u, v, w]*((74*s[5])/11 + (5515*s[6])/528 + (12719*s[7])/264 - 
       (3227*s[8])/1584 - (6685*s[9])/144 - (521*s[10])/36 - 
       (19457*s[11])/352 - (60037*s[12])/1056 - (16669*s[13])/528 - 
       (1613*s[14])/66 - (1045*s[15])/18 - (7515*s[16])/88 - 
       (64937*s[17])/1056 - (13067*s[18])/432 + (8219*s[19])/432 - 
       (575065*s[20])/4752 - (338257*s[21])/4752 + (131141*s[22])/4752 + 
       (117631*s[23])/1056 + (236899*s[24])/9504 - (4347551*s[25])/85536 + 
       (4622645*s[26])/85536 - (4*s[37])/3 + (17*s[38])/6 - (47*s[39])/3 + 
       (47*s[40])/3 - 14*s[41] + (76*s[42])/3 + (122*s[43])/33 - 
       (753*s[44])/88 - (62*s[45])/33 - (1043*s[46])/22 + (1763*s[47])/176 - 
       (2153*s[48])/176 - (4915*s[49])/176 + (8893*s[50])/264 + 
       (29093*s[51])/1584 + (1193*s[52])/88 - (159*s[53])/11 - 
       (35*s[54])/11 - (10655*s[55])/176 - (28795*s[56])/528 + 
       (69665*s[57])/198 - (775817*s[58])/4752 + (667547*s[59])/4752 + 
       (83155*s[60])/352 - (70583*s[61])/2673) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^5*((37*s[4])/8 - (37*s[5])/44 + (2357*s[6])/704 + 
       (59485*s[7])/2112 - (11971*s[8])/2112 - (3929*s[9])/192 - 
       (353*s[10])/96 - (45211*s[11])/1408 - (165457*s[12])/4224 - 
       (25057*s[13])/1056 + (8483*s[14])/704 - (20783*s[15])/576 - 
       (49981*s[16])/1056 - (117995*s[17])/4224 - (1789*s[18])/576 - 
       (2993*s[19])/576 - (255461*s[20])/6336 - (17107*s[21])/1584 + 
       (22303*s[22])/1584 + (282355*s[23])/4224 + (363577*s[24])/12672 - 
       (5478013*s[25])/114048 + (2346895*s[26])/114048 - s[37]/6 + 
       (31*s[38])/48 - (121*s[39])/24 + (121*s[40])/24 - (37*s[41])/8 + 
       (391*s[42])/48 + (401*s[43])/132 - (993*s[44])/352 + (887*s[45])/264 - 
       (381*s[46])/11 + (5765*s[47])/2112 - (7523*s[48])/2112 - 
       (9923*s[49])/704 + (27635*s[50])/1056 + (30317*s[51])/6336 + 
       (1389*s[52])/352 - (447*s[53])/22 + (655*s[54])/264 - 
       (258649*s[55])/2112 - (25405*s[56])/704 + (89593*s[57])/1584 - 
       (1173305*s[58])/19008 + (1223183*s[59])/19008 + 
       (3181855*s[60])/12672 - (1492441*s[61])/85536) + 
     D23[v, w, u]*((36*s[5])/11 + (21*s[6])/11 + (679*s[7])/22 - 
       (18*s[8])/11 - 27*s[9] - 12*s[10] - (306*s[11])/11 - (249*s[12])/11 - 
       (109*s[13])/11 - (162*s[14])/11 - (117*s[15])/2 - (1259*s[16])/22 - 
       (698*s[17])/11 - (13*s[18])/3 - (23*s[19])/3 - (2435*s[20])/33 - 
       (928*s[21])/33 + (169*s[22])/11 + (229*s[23])/22 + (835*s[24])/22 - 
       (9334*s[25])/297 + (6427*s[26])/297 + (18*s[43])/11 - (9*s[44])/11 + 
       (72*s[45])/11 - (342*s[46])/11 - (5*s[47])/11 - (5*s[48])/11 - 
       (73*s[49])/11 + (300*s[50])/11 - (9*s[51])/11 - (13*s[52])/11 - 
       (281*s[53])/11 + (24*s[54])/11 - (1851*s[55])/11 - (339*s[56])/11 - 
       (940*s[57])/11 - (195*s[58])/11 + (337*s[59])/11 + (18769*s[60])/66 - 
       (4838*s[61])/297) + D23[w, u, v]*((36*s[5])/11 + (21*s[6])/11 + 
       (679*s[7])/22 - (18*s[8])/11 - 27*s[9] - 12*s[10] - (306*s[11])/11 - 
       (249*s[12])/11 - (109*s[13])/11 - (162*s[14])/11 - (117*s[15])/2 - 
       (1259*s[16])/22 - (698*s[17])/11 - (13*s[18])/3 - (23*s[19])/3 - 
       (2435*s[20])/33 - (928*s[21])/33 + (169*s[22])/11 + (229*s[23])/22 + 
       (835*s[24])/22 - (9334*s[25])/297 + (6427*s[26])/297 + (18*s[43])/11 - 
       (9*s[44])/11 + (72*s[45])/11 - (342*s[46])/11 - (5*s[47])/11 - 
       (5*s[48])/11 - (73*s[49])/11 + (300*s[50])/11 - (9*s[51])/11 - 
       (13*s[52])/11 - (281*s[53])/11 + (24*s[54])/11 - (1851*s[55])/11 - 
       (339*s[56])/11 - (940*s[57])/11 - (195*s[58])/11 + (337*s[59])/11 + 
       (18769*s[60])/66 - (4838*s[61])/297) + HPL[{1}, 1 - v]^2*Qep[w, u, v]*
      ((-1216*s[5])/33 - (6550*s[6])/99 - (15908*s[7])/99 + (2150*s[8])/297 + 
       (4666*s[9])/27 + (728*s[10])/27 + (8521*s[11])/33 + (30149*s[12])/99 + 
       (5102*s[13])/33 + (10168*s[14])/99 + (2600*s[15])/27 + 
       (31244*s[16])/99 + (7961*s[17])/99 + (16118*s[18])/81 - 
       (15878*s[19])/81 + (457210*s[20])/891 + (357682*s[21])/891 - 
       (95234*s[22])/891 - (30941*s[23])/33 + (4933*s[24])/891 + 
       (1466815*s[25])/8019 - (2307469*s[26])/8019 - (128*s[37])/9 - 
       (352*s[38])/9 + (1184*s[39])/9 - (1184*s[40])/9 + (320*s[41])/3 - 
       (1696*s[42])/9 - (7280*s[43])/99 + (3076*s[44])/33 + (8192*s[45])/99 + 
       (1680*s[46])/11 - (5162*s[47])/99 - (1202*s[48])/99 + 
       (38762*s[49])/99 - (3428*s[50])/99 - (32882*s[51])/297 - 
       (7996*s[52])/99 - (5552*s[53])/99 + (1568*s[54])/11 - 
       (72494*s[55])/99 + (7534*s[56])/99 - (941488*s[57])/297 + 
       (912266*s[58])/891 - (797966*s[59])/891 - (167935*s[60])/297 - 
       (127240*s[61])/8019) + HPL[{1}, 1 - v]^4*HPL[{0, 0, 1}, 1 - u]*
      ((815*s[5])/264 + (32695*s[6])/6336 + (25133*s[7])/1056 - 
       (19319*s[8])/19008 - (38617*s[9])/1728 - (2879*s[10])/432 - 
       (106957*s[11])/4224 - (322225*s[12])/12672 - (92117*s[13])/6336 - 
       (5119*s[14])/396 - (1669*s[15])/54 - (128567*s[16])/3168 - 
       (138271*s[17])/4224 - (67655*s[18])/5184 + (37967*s[19])/5184 - 
       (3273289*s[20])/57024 - (1821289*s[21])/57024 + (732305*s[22])/57024 + 
       (526235*s[23])/12672 + (1530127*s[24])/114048 - 
       (24451451*s[25])/1026432 + (25013825*s[26])/1026432 - (7*s[37])/9 + 
       (25*s[38])/36 - (197*s[39])/36 + (197*s[40])/36 - (29*s[41])/6 + 
       (331*s[42])/36 + (667*s[43])/792 - (2707*s[44])/1056 + 
       (1255*s[45])/1584 - (2095*s[46])/88 + (28549*s[47])/6336 - 
       (35207*s[48])/6336 - (34453*s[49])/6336 + (52405*s[50])/3168 + 
       (137273*s[51])/19008 + (19561*s[52])/3168 - (7321*s[53])/792 + 
       (335*s[54])/44 - (111427*s[55])/2112 - (206311*s[56])/6336 + 
       (33940*s[57])/297 - (3847661*s[58])/57024 + (3213791*s[59])/57024 + 
       (4623775*s[60])/38016 - (126095*s[61])/8019) + 
     HPL[{1}, 1 - w]^3*Omega2[u, v, w]*(7*s[4] - (189*s[5])/44 - 
       (29*s[6])/22 + (1217*s[7])/66 - (107*s[8])/11 - (19*s[9])/2 + 
       (11*s[10])/4 - (2287*s[11])/88 - (11621*s[12])/264 - 
       (3203*s[13])/132 + (1659*s[14])/44 - (325*s[15])/36 - 
       (3713*s[16])/132 + (3397*s[17])/264 - (31*s[18])/9 - (29*s[19])/36 - 
       (317*s[20])/99 + (904*s[21])/99 + (328*s[22])/33 + (10059*s[23])/88 + 
       (6133*s[24])/792 - (43117*s[25])/891 + (18851*s[26])/1782 + 
       (5*s[38])/3 - (25*s[39])/3 + (25*s[40])/3 - 7*s[41] + (41*s[42])/3 + 
       (13*s[43])/33 - (351*s[44])/88 - (17*s[45])/66 - (557*s[46])/22 + 
       (1879*s[47])/264 - (899*s[48])/88 - (3239*s[49])/264 + 
       (752*s[50])/33 + (9359*s[51])/792 + (1735*s[52])/264 - 
       (709*s[53])/66 - (287*s[54])/33 - (12671*s[55])/264 - 
       (2111*s[56])/88 + (69935*s[57])/396 - (200957*s[58])/2376 + 
       (173471*s[59])/2376 + (23953*s[60])/176 - (310961*s[61])/21384) + 
     HPL[{1}, 1 - v]^3*Omega2[w, u, v]*((163*s[5])/44 + (127*s[6])/33 + 
       (6683*s[7])/264 - (563*s[8])/396 - (943*s[9])/36 - (169*s[10])/18 - 
       (635*s[11])/22 - (7243*s[12])/264 - (1325*s[13])/88 - (895*s[14])/88 - 
       (2573*s[15])/72 - (6199*s[16])/132 - (1235*s[17])/33 - 
       (374*s[18])/27 + (349*s[19])/54 - (75337*s[20])/1188 - 
       (84443*s[21])/2376 + (34891*s[22])/2376 + (12995*s[23])/264 + 
       (37231*s[24])/2376 - (70963*s[25])/2673 + (70918*s[26])/2673 + 
       (5*s[38])/3 - (25*s[39])/3 + (25*s[40])/3 - 7*s[41] + (41*s[42])/3 + 
       (13*s[43])/33 - (351*s[44])/88 - (17*s[45])/66 - (557*s[46])/22 + 
       (1879*s[47])/264 - (899*s[48])/88 - (3239*s[49])/264 + 
       (752*s[50])/33 + (9359*s[51])/792 + (1735*s[52])/264 - 
       (709*s[53])/66 - (287*s[54])/33 - (12671*s[55])/264 - 
       (2111*s[56])/88 + (69935*s[57])/396 - (200957*s[58])/2376 + 
       (173471*s[59])/2376 + (23953*s[60])/176 - (310961*s[61])/21384) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^5*((447*s[5])/176 + (7243*s[6])/2112 + 
       (7869*s[7])/352 - (6847*s[8])/6336 - (11861*s[9])/576 - 
       (527*s[10])/72 - (94631*s[11])/4224 - (87809*s[12])/4224 - 
       (24293*s[13])/2112 - (5875*s[14])/528 - (2441*s[15])/72 - 
       (13725*s[16])/352 - (153301*s[17])/4224 - (14611*s[18])/1728 + 
       (2935*s[19])/1728 - (1007573*s[20])/19008 - (491057*s[21])/19008 + 
       (223813*s[22])/19008 + (99571*s[23])/4224 + (703319*s[24])/38016 - 
       (7781275*s[25])/342144 + (6877297*s[26])/342144 - (5*s[37])/12 + 
       (11*s[38])/48 - (37*s[39])/12 + (37*s[40])/12 - (23*s[41])/8 + 
       (257*s[42])/48 + (173*s[43])/264 - (219*s[44])/176 + (335*s[45])/132 - 
       (1983*s[46])/88 + (5239*s[47])/2112 - (9457*s[48])/2112 - 
       (2841*s[49])/704 + (18775*s[50])/1056 + (25831*s[51])/6336 + 
       (151*s[52])/44 - (559*s[53])/44 + (1217*s[54])/264 - 
       (168307*s[55])/2112 - (19015*s[56])/704 + (8065*s[57])/198 - 
       (833671*s[58])/19008 + (782929*s[59])/19008 + (1886309*s[60])/12672 - 
       (297419*s[61])/21384) + HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 1}, 1 - v]*
      ((43*s[5])/22 - (31*s[6])/11 + (2533*s[7])/132 - (485*s[8])/198 - 
       (319*s[9])/18 - (97*s[10])/9 - (1201*s[11])/66 - (1933*s[12])/132 + 
       (449*s[13])/132 - (413*s[14])/132 - (493*s[15])/12 - (1096*s[16])/33 - 
       (805*s[17])/22 - (13*s[18])/27 - (251*s[19])/27 - (29809*s[20])/594 - 
       (7775*s[21])/1188 + (12919*s[22])/1188 + (1223*s[23])/132 + 
       (39367*s[24])/1188 - (135469*s[25])/5346 + (30043*s[26])/5346 - 
       (58*s[43])/11 - (181*s[44])/44 + (43*s[45])/11 - (207*s[46])/11 - 
       (23*s[47])/132 - (1475*s[48])/132 + (1235*s[49])/132 + 
       (335*s[50])/11 + (1195*s[51])/132 - (139*s[52])/132 - (668*s[53])/33 - 
       (92*s[54])/11 - (4431*s[55])/44 - (5*s[56])/44 - (717*s[57])/22 - 
       (4517*s[58])/396 + (3467*s[59])/396 + (139639*s[60])/792 - 
       (47887*s[61])/3564) + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 1 - v]*
      (-56*s[35] - 28*s[36] - (40*s[61])/3) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 0, 0, 1}, 1 - w]*((-40*s[25])/3 + (40*s[26])/3 - 
       56*s[35] - 28*s[36] - (40*s[61])/3) + D23[u, v, w]*
      ((15*s[5])/11 + (45*s[6])/22 + (445*s[7])/33 - (15*s[8])/22 - 
       (23*s[9])/2 - 4*s[10] - (543*s[11])/44 - (503*s[12])/44 - 
       (194*s[13])/33 - (179*s[14])/22 - 21*s[15] - (1417*s[16])/66 - 
       (2863*s[17])/132 - (73*s[18])/18 + s[19]/18 - (6137*s[20])/198 - 
       (1259*s[21])/99 + (214*s[22])/33 + (853*s[23])/132 + (551*s[24])/44 - 
       (47891*s[25])/3564 + (36029*s[26])/3564 + (2*s[43])/11 + 
       (9*s[44])/22 + (30*s[45])/11 - (148*s[46])/11 + (2*s[47])/33 + 
       (2*s[48])/33 + (82*s[49])/33 + (103*s[50])/11 + (10*s[51])/11 + 
       (83*s[52])/66 - (277*s[53])/33 + (120*s[54])/11 - (1948*s[55])/33 - 
       (232*s[56])/11 - (845*s[57])/33 - (461*s[58])/33 + (391*s[59])/33 + 
       (9598*s[60])/99 - (17375*s[61])/1782) + HPL[{1}, 1 - w]^2*Nt[u, v, w]*
      ((7*s[4])/2 - (213*s[5])/88 - (9*s[6])/11 + (1711*s[7])/264 - 
       (457*s[8])/99 - (43*s[9])/18 + (163*s[10])/72 - (5549*s[11])/528 - 
       (3483*s[12])/176 - (2875*s[13])/264 + (5345*s[14])/264 + s[15]/36 - 
       (409*s[16])/44 + (2019*s[17])/176 - (37*s[18])/27 + (29*s[19])/216 + 
       (2729*s[20])/594 + (1975*s[21])/297 + (4273*s[22])/1188 + 
       (30115*s[23])/528 + (2665*s[24])/4752 - (113491*s[25])/5346 + 
       (9527*s[26])/2673 + (5*s[38])/6 - (25*s[39])/6 + (25*s[40])/6 - 
       (7*s[41])/2 + (41*s[42])/6 + (2*s[43])/33 - (339*s[44])/176 - 
       (89*s[45])/132 - (443*s[46])/44 + (1855*s[47])/528 - 
       (2633*s[48])/528 - (2947*s[49])/528 + (1193*s[50])/132 + 
       (9071*s[51])/1584 + (1787*s[52])/528 - (107*s[53])/33 - 
       (48*s[54])/11 - (5399*s[55])/528 - (5197*s[56])/528 + 
       (75641*s[57])/792 - (193805*s[58])/4752 + (162791*s[59])/4752 + 
       (137905*s[60])/3168 - (256337*s[61])/42768) + 
     HPL[{1}, 1 - v]^2*Nt[u, v, w]*((139*s[5])/88 + (61*s[6])/33 + 
       (5369*s[7])/528 - (137*s[8])/264 - (259*s[9])/24 - (11*s[10])/3 - 
       (1577*s[11])/132 - (2097*s[12])/176 - (3539*s[13])/528 - 
       (723*s[14])/176 - (1883*s[15])/144 - (2503*s[16])/132 - 
       (454*s[17])/33 - (59*s[18])/9 + (35*s[19])/9 - (20411*s[20])/792 - 
       (2733*s[21])/176 + (3235*s[22])/528 + (12757*s[23])/528 + 
       (7415*s[24])/1584 - (9512*s[25])/891 + (40991*s[26])/3564 + 
       (5*s[38])/6 - (25*s[39])/6 + (25*s[40])/6 - (7*s[41])/2 + 
       (41*s[42])/6 + (2*s[43])/33 - (339*s[44])/176 - (89*s[45])/132 - 
       (443*s[46])/44 + (1855*s[47])/528 - (2633*s[48])/528 - 
       (2947*s[49])/528 + (1193*s[50])/132 + (9071*s[51])/1584 + 
       (1787*s[52])/528 - (107*s[53])/33 - (48*s[54])/11 - (5399*s[55])/528 - 
       (5197*s[56])/528 + (75641*s[57])/792 - (193805*s[58])/4752 + 
       (162791*s[59])/4752 + (137905*s[60])/3168 - (256337*s[61])/42768) + 
     HPL[{1}, 1 - v]^2*M1[v, w, u]*((85*s[5])/22 - (3595*s[6])/528 + 
       (4495*s[7])/264 - (373*s[8])/176 - (235*s[9])/16 - (143*s[10])/12 - 
       (7301*s[11])/1056 + (2455*s[12])/352 + (1543*s[13])/176 - 
       (193*s[14])/44 - (2371*s[15])/36 - (13445*s[16])/264 - 
       (29829*s[17])/352 + (2837*s[18])/144 - (4805*s[19])/144 - 
       (60305*s[20])/1584 + (12911*s[21])/1584 + (11933*s[22])/1584 - 
       (16869*s[23])/352 + (165391*s[24])/3168 - (177521*s[25])/9504 - 
       (81349*s[26])/9504 + (4*s[37])/3 - s[38]/3 + (95*s[39])/12 - 
       (95*s[40])/12 + (31*s[41])/4 - (157*s[42])/12 + (79*s[43])/132 + 
       (135*s[44])/88 + (1295*s[45])/132 - (395*s[46])/22 - 
       (3653*s[47])/528 + (3211*s[48])/528 - (2923*s[49])/528 + 
       (7367*s[50])/264 - (18965*s[51])/1584 - (3287*s[52])/264 - 
       (2545*s[53])/66 - (343*s[54])/22 - (42865*s[55])/176 + 
       (1591*s[56])/528 - (137179*s[57])/396 + (389621*s[58])/4752 - 
       (136163*s[59])/4752 + (1045885*s[60])/3168 - (66017*s[61])/21384) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 0, 1}, 1 - v]*(-8*s[4] + (92*s[5])/11 - 
       (7435*s[6])/264 - (965*s[7])/44 + (5851*s[8])/792 + (797*s[9])/72 - 
       (167*s[10])/18 + (47747*s[11])/528 + (78917*s[12])/528 + 
       (12063*s[13])/88 - (1979*s[14])/33 - (611*s[15])/9 + 
       (6769*s[16])/132 - (53527*s[17])/528 + (1291*s[18])/216 - 
       (2971*s[19])/216 - (70663*s[20])/2376 + (54737*s[21])/2376 - 
       (55333*s[22])/2376 - (43541*s[23])/176 - (122531*s[24])/4752 + 
       (5358367*s[25])/42768 - (2899189*s[26])/42768 + (8*s[37])/3 - 
       (41*s[38])/3 + (142*s[39])/3 - (142*s[40])/3 + 36*s[41] - 
       (200*s[42])/3 - (676*s[43])/33 + (1921*s[44])/44 + (1036*s[45])/33 + 
       (611*s[46])/11 - (2921*s[47])/264 - (5957*s[48])/264 + 
       (40025*s[49])/264 - (2845*s[50])/132 - (26021*s[51])/792 - 
       (3563*s[52])/132 - (1366*s[53])/33 + (582*s[54])/11 - 
       (29985*s[55])/88 + (9403*s[56])/264 - (123953*s[57])/99 + 
       (1034633*s[58])/2376 - (854939*s[59])/2376 - (456107*s[60])/1584 - 
       (7214*s[61])/2673) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      (-28*s[4] + (257*s[5])/11 - (513*s[6])/88 - (1985*s[7])/88 + 
       (8719*s[8])/264 - (223*s[9])/24 - (469*s[10])/12 + (16231*s[11])/176 + 
       (108265*s[12])/528 + (2859*s[13])/22 - (14433*s[14])/88 - 
       (9211*s[15])/72 + (2765*s[16])/132 - (113257*s[17])/528 + 
       (721*s[18])/72 - (1807*s[19])/72 - (70891*s[20])/792 - 
       (7571*s[21])/132 - (8729*s[22])/396 - (86969*s[23])/176 + 
       (23015*s[24])/1584 + (2447941*s[25])/14256 - (492223*s[26])/14256 + 
       (8*s[37])/3 - (41*s[38])/3 + (142*s[39])/3 - (142*s[40])/3 + 
       36*s[41] - (200*s[42])/3 - (676*s[43])/33 + (1921*s[44])/44 + 
       (1036*s[45])/33 + (611*s[46])/11 - (2921*s[47])/264 - 
       (5957*s[48])/264 + (40025*s[49])/264 - (2845*s[50])/132 - 
       (26021*s[51])/792 - (3563*s[52])/132 - (1366*s[53])/33 + 
       (582*s[54])/11 - (29985*s[55])/88 + (9403*s[56])/264 - 
       (123953*s[57])/99 + (1034633*s[58])/2376 - (854939*s[59])/2376 - 
       (456107*s[60])/1584 - (7214*s[61])/2673) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 1}, 1 - v]*(-8*s[35] - 4*s[36] - 
       (8*s[61])/3) + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 1}, 1 - w]*
      ((-8*s[25])/3 + (8*s[26])/3 - 8*s[35] - 4*s[36] - (8*s[61])/3) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1, 1}, 1 - w]*
      (-4*s[37] - (64*s[61])/27) + HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1, 1, 1}, 1 - v]*((-20*s[22])/3 - (64*s[25])/27 + 
       (64*s[26])/27 - 4*s[37] - (64*s[61])/27) + B4[w, u, v]*HPL[{1}, 1 - v]*
      (s[7]/6 + s[8]/9 + s[9]/9 - s[10]/9 + s[11]/6 - (2*s[12])/3 - 
       (5*s[13])/3 + s[14]/6 + (13*s[15])/6 + (5*s[16])/6 + 2*s[17] - 
       (52*s[18])/27 + (49*s[19])/27 + (61*s[20])/54 - (49*s[21])/27 - 
       (5*s[22])/54 + (41*s[23])/6 - (161*s[24])/54 + (367*s[25])/486 + 
       (298*s[26])/243 + s[47]/6 + s[48]/6 + (5*s[49])/6 - s[50] - s[51]/2 + 
       s[52]/3 + (5*s[53])/3 + (7*s[55])/2 - (5*s[56])/2 + 13*s[57] - 
       (107*s[58])/18 + (65*s[59])/18 - (443*s[60])/36 - (235*s[61])/162) + 
     B4[v, w, u]*HPL[{1}, 1 - w]*(s[6] + (2*s[8])/9 + (2*s[9])/9 + 
       (7*s[10])/9 - s[11]/6 - (5*s[12])/6 - (7*s[13])/6 - (5*s[14])/3 + 
       (4*s[15])/3 + (5*s[16])/6 + (7*s[17])/3 - (38*s[18])/27 + 
       (59*s[19])/27 - (25*s[20])/54 - (157*s[21])/54 - (5*s[22])/27 - 
       (5*s[23])/3 - (53*s[24])/27 + (593*s[25])/486 + (491*s[26])/243 + 
       s[47]/6 + s[48]/6 + (5*s[49])/6 - s[50] - s[51]/2 + s[52]/3 + 
       (5*s[53])/3 + (7*s[55])/2 - (5*s[56])/2 + 13*s[57] - (107*s[58])/18 + 
       (65*s[59])/18 - (443*s[60])/36 - (235*s[61])/162) + 
     D16[w, u, v]*(s[7]/6 + s[8]/9 + s[9]/9 - s[10]/9 + s[11]/6 - 
       (2*s[12])/3 - (5*s[13])/3 - (5*s[14])/6 + (13*s[15])/6 + (5*s[16])/6 + 
       2*s[17] - (52*s[18])/27 + (49*s[19])/27 + (7*s[20])/54 - 
       (49*s[21])/27 - (5*s[22])/54 + (23*s[23])/6 - (161*s[24])/54 + 
       (367*s[25])/486 + (298*s[26])/243 + s[47]/6 + s[48]/6 + (5*s[49])/6 - 
       s[50] - s[51]/2 + s[52]/3 + (5*s[53])/3 + (5*s[55])/2 - (5*s[56])/2 + 
       10*s[57] - (89*s[58])/18 + (47*s[59])/18 - (371*s[60])/36 - 
       (235*s[61])/162) + D16[v, w, u]*(s[6] + (2*s[8])/9 + (2*s[9])/9 + 
       (7*s[10])/9 - s[11]/6 - (5*s[12])/6 - (7*s[13])/6 - (5*s[14])/3 + 
       (4*s[15])/3 + (5*s[16])/6 + (7*s[17])/3 - (38*s[18])/27 + 
       (59*s[19])/27 - (25*s[20])/54 - (157*s[21])/54 - (5*s[22])/27 - 
       (5*s[23])/3 - (53*s[24])/27 + (593*s[25])/486 + (491*s[26])/243 + 
       s[47]/6 + s[48]/6 + (5*s[49])/6 - s[50] - s[51]/2 + s[52]/3 + 
       (5*s[53])/3 + (5*s[55])/2 - (5*s[56])/2 + 10*s[57] - (89*s[58])/18 + 
       (47*s[59])/18 - (371*s[60])/36 - (235*s[61])/162) + 
     D22[w, u, v]*(s[4] - (15*s[5])/11 + (87*s[6])/22 + (61*s[7])/33 - 
       (7*s[8])/22 + s[9]/2 + 2*s[10] - (293*s[11])/44 - (465*s[12])/44 - 
       (877*s[13])/66 + (113*s[14])/22 + (17*s[15])/3 - (56*s[16])/33 + 
       (905*s[17])/132 + (89*s[18])/18 - (71*s[19])/18 + (1094*s[20])/99 + 
       (1253*s[21])/198 + (28*s[22])/33 - (215*s[23])/132 + 
       (1141*s[24])/132 - (49349*s[25])/3564 + (9137*s[26])/3564 + s[38] - 
       2*s[39] + 2*s[40] - s[41] + 2*s[42] + (31*s[43])/11 - (32*s[44])/11 - 
       (8*s[45])/11 - (72*s[46])/11 - (46*s[47])/33 + (185*s[48])/33 - 
       (401*s[49])/33 + (18*s[50])/11 + (14*s[51])/33 + (19*s[52])/33 + 
       (2*s[53])/33 - (10*s[54])/11 + (37*s[55])/11 - (54*s[56])/11 + 
       (1318*s[57])/33 - (202*s[58])/11 + (566*s[59])/33 + (5197*s[60])/99 - 
       (943*s[61])/891) + D22[v, w, u]*((7*s[5])/11 + (21*s[6])/22 + 
       (226*s[7])/33 - (7*s[8])/22 - (11*s[9])/2 - 2*s[10] - (403*s[11])/44 - 
       (487*s[12])/44 - (349*s[13])/66 - (63*s[14])/22 - 5*s[15] - 
       (353*s[16])/33 - (481*s[17])/132 - (103*s[18])/18 + (67*s[19])/18 - 
       (1744*s[20])/99 - (1981*s[21])/198 + (116*s[22])/33 + 
       (3283*s[23])/132 + (415*s[24])/132 - (28559*s[25])/3564 + 
       (28739*s[26])/3564 + s[38] - 2*s[39] + 2*s[40] - s[41] + 2*s[42] + 
       (31*s[43])/11 - (32*s[44])/11 - (8*s[45])/11 - (72*s[46])/11 - 
       (46*s[47])/33 + (185*s[48])/33 - (401*s[49])/33 + (18*s[50])/11 + 
       (14*s[51])/33 + (19*s[52])/33 + (2*s[53])/33 - (10*s[54])/11 + 
       (37*s[55])/11 - (54*s[56])/11 + (1318*s[57])/33 - (202*s[58])/11 + 
       (566*s[59])/33 + (5197*s[60])/99 - (943*s[61])/891) + 
     D24[u, v, w]*(-2*s[56] + 2*s[57] - 2*s[60] - (2*s[61])/3) + 
     D5[w, v, u]*((-4*s[25])/9 + (4*s[26])/9 - (4*s[61])/9) + 
     D24[v, w, u]*(2*s[15] + s[16] + s[17] + s[18]/3 - s[19]/3 + 
       (4*s[20])/3 + (7*s[21])/3 - s[23] - (25*s[25])/27 - (38*s[26])/27 + 
       s[49] + s[51] + 2*s[54] + 4*s[55] - s[56] + s[58] - 3*s[59] - 
       (7*s[60])/2 - (4*s[61])/9) + D24[w, u, v]*(s[13] + s[16] + s[17] - 
       s[18]/3 + s[19]/3 - s[20]/3 + (2*s[21])/3 + s[23] - (5*s[25])/27 - 
       (13*s[26])/27 + s[49] + s[51] + 2*s[54] + 4*s[55] - s[56] + s[58] - 
       3*s[59] - (7*s[60])/2 - (4*s[61])/9) + 
     D13[v, w, u]*(2*s[15] + s[16] + s[17] + s[18]/3 - s[19]/3 + 
       (4*s[20])/3 + (7*s[21])/3 - s[23] - (25*s[25])/27 - (38*s[26])/27 + 
       s[37] + s[49] + s[51] + 2*s[54] + 4*s[55] - s[56] + s[58] - 3*s[59] - 
       (7*s[60])/2 - s[61]/3) + D13[w, u, v]*(s[13] + s[16] + s[17] - 
       s[18]/3 + s[19]/3 - s[20]/3 + (2*s[21])/3 + s[23] - (2*s[25])/27 - 
       (16*s[26])/27 + s[37] + s[49] + s[51] + 2*s[54] + 4*s[55] - s[56] + 
       s[58] - 3*s[59] - (7*s[60])/2 - s[61]/3) + 
     D10[v, w, u]*(s[52] + 2*s[53] + 6*s[55] + 2*s[57] - (4*s[58])/3 - 
       (8*s[59])/3 + (7*s[60])/3 - s[61]/3) + 
     D10[w, v, u]*(-s[5] - s[11] - 3*s[12] - 3*s[13] + s[14] + 6*s[15] + 
       4*s[16] + 8*s[17] + 2*s[20] + (5*s[21])/3 - 9*s[23] - s[24]/3 - 
       (17*s[25])/9 + (2*s[26])/9 + s[52] + 2*s[53] + 6*s[55] + 2*s[57] - 
       (4*s[58])/3 - (8*s[59])/3 + (7*s[60])/3 - s[61]/3) + 
     D11[v, w, u]*((-2*s[57])/3 + (4*s[58])/9 - (4*s[59])/9 - s[60] - 
       (11*s[61])/81) + B2[u, w, v]*HPL[{1}, 1 - v]*
      ((-2*s[57])/3 + (4*s[58])/9 - (4*s[59])/9 - s[60] - (11*s[61])/81) + 
     D11[w, v, u]*((2*s[8])/3 + (2*s[9])/3 + s[10]/3 + s[13] - s[14] - 
       s[16] - 2*s[17] - (2*s[18])/9 - (4*s[19])/9 - (8*s[20])/9 - 
       (2*s[21])/9 - (2*s[22])/9 + 3*s[23] + s[24]/9 + (37*s[25])/81 - 
       (19*s[26])/81 - (2*s[57])/3 + (4*s[58])/9 - (4*s[59])/9 - s[60] - 
       (11*s[61])/81) + B2[u, v, w]*HPL[{1}, 1 - w]*
      ((2*s[8])/3 + (2*s[9])/3 + s[10]/3 + s[13] - s[14] - s[16] - 2*s[17] - 
       (2*s[18])/9 - (4*s[19])/9 - (8*s[20])/9 - (2*s[21])/9 - (2*s[22])/9 + 
       3*s[23] + s[24]/9 + (37*s[25])/81 - (19*s[26])/81 - (2*s[57])/3 + 
       (4*s[58])/9 - (4*s[59])/9 - s[60] - (11*s[61])/81) + 
     B2[w, u, v]*HPL[{1}, 1 - v]*(-s[25]/9 + s[26]/9 - s[61]/9) + 
     D5[v, u, w]*(s[35] - (5*s[61])/54) + D5[w, u, v]*
      (s[22]/3 - (5*s[25])/54 + (5*s[26])/54 + s[35] - (5*s[61])/54) + 
     HPL[{1}, 1 - w]^4*HPL[{0, 1, 1}, 1 - w]*((-5*s[37])/6 - 
       (25*s[61])/324) + HPL[{1}, 1 - v]^4*HPL[{0, 1, 1}, 1 - v]*
      ((-5*s[22])/36 - (25*s[25])/324 + (25*s[26])/324 - (5*s[37])/6 - 
       (25*s[61])/324) + B1[v, u, w]*HPL[{1}, 1 - v]*
      (s[22]/3 - s[25]/27 + s[26]/27 - s[61]/27) + 
     D3[w, u, v]*(s[36] - s[61]/27) + D3[v, u, w]*(s[22]/3 - s[25]/27 + 
       s[26]/27 + s[36] - s[61]/27) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^5*(s[8]/12 + s[9]/12 + s[10]/24 + s[13]/8 - s[14]/8 - 
       s[16]/8 - s[17]/4 - s[18]/36 - s[19]/18 - s[20]/9 + s[21]/72 - 
       s[22]/36 + (3*s[23])/8 + s[24]/18 + (47*s[25])/1296 - 
       (65*s[26])/1296 + (13*s[37])/60 + s[52]/8 - (5*s[57])/24 + 
       (5*s[58])/36 - (5*s[59])/36 - s[60]/12 + (49*s[61])/1296) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^5*HPL[{1}, 1 - w]*
      (-s[11]/8 + s[22]/36 - s[23]/8 + s[24]/24 + s[25]/162 - s[26]/162 + 
       (13*s[37])/60 + s[52]/8 - (5*s[57])/24 + (5*s[58])/36 - (5*s[59])/36 - 
       s[60]/12 + (49*s[61])/1296) + B2[w, v, u]*HPL[{1}, 1 - v]*
      (s[22]/3 + (2*s[25])/27 - (2*s[26])/27 + (2*s[61])/27) + 
     D12[v, w, u]*(s[47] + s[55] + (2*s[57])/3 - (4*s[58])/9 - (14*s[59])/9 + 
       4*s[60] + (8*s[61])/81) + D12[w, v, u]*(s[7] - (2*s[8])/3 - 
       (2*s[9])/3 + (2*s[10])/3 - s[11] - 2*s[12] - 2*s[13] - s[14] + s[15] + 
       s[17] + (2*s[18])/9 + (4*s[19])/9 - s[20]/9 + (14*s[21])/9 + 
       (5*s[22])/9 - 2*s[23] + (8*s[24])/9 - (175*s[25])/81 - (32*s[26])/81 + 
       s[47] + s[55] + (2*s[57])/3 - (4*s[58])/9 - (14*s[59])/9 + 4*s[60] + 
       (8*s[61])/81) + B2[v, u, w]*HPL[{1}, 1 - v]*(-2*s[23] + (2*s[24])/3 + 
       s[52] - 2*s[57] + (4*s[58])/3 - (4*s[59])/3 + (2*s[60])/3 + s[61]/9) + 
     B2[w, u, v]*HPL[{1}, 1 - w]*((2*s[21])/3 + (2*s[24])/3 - s[25]/3 - 
       s[26]/3 + s[52] - 2*s[57] + (4*s[58])/3 - (4*s[59])/3 + (2*s[60])/3 + 
       s[61]/9) + B2[v, w, u]*HPL[{1}, 1 - v]*(s[23] - s[24]/3 + s[57] - 
       (2*s[58])/3 + (2*s[59])/3 - s[60]/3 + (5*s[61])/18) + 
     B2[w, v, u]*HPL[{1}, 1 - w]*(-s[21]/3 - s[24]/3 + s[25]/6 + s[26]/6 + 
       s[57] - (2*s[58])/3 + (2*s[59])/3 - s[60]/3 + (5*s[61])/18) + 
     D18[w, u, v]*(s[4] - s[5]/2 + s[6]/2 + (3*s[7])/2 - (5*s[8])/6 - 
       (5*s[9])/6 + (5*s[10])/6 - (5*s[11])/2 - (7*s[12])/2 - 3*s[13] + 
       4*s[14] - 2*s[15] - (5*s[16])/2 + (17*s[18])/18 - (10*s[19])/9 + 
       (16*s[20])/9 + (35*s[21])/18 + (7*s[22])/9 + (17*s[23])/2 + 
       (41*s[24])/18 - (1775*s[25])/324 + (335*s[26])/324 - s[39] + s[40] - 
       s[41] + 2*s[42] + s[43] - s[44]/2 - 3*s[46] + s[47]/2 + s[48]/2 - 
       (7*s[49])/2 + 2*s[50] + (3*s[51])/2 + s[52]/2 - 2*s[53] - 
       (13*s[55])/2 - s[56]/2 + 9*s[57] - (31*s[58])/6 + (37*s[59])/6 + 
       (245*s[60])/12 + (5*s[61])/18) + D18[v, w, u]*
      (s[5]/2 + s[6]/2 + 3*s[7] - s[8]/6 - (19*s[9])/6 - (5*s[10])/6 - 
       3*s[11] - (5*s[12])/2 - (3*s[13])/2 - (3*s[14])/2 - (9*s[15])/2 - 
       (11*s[16])/2 - (11*s[17])/2 - (17*s[18])/18 + s[19]/9 - (61*s[20])/9 - 
       (28*s[21])/9 + (31*s[22])/18 + (5*s[23])/2 + (37*s[24])/18 - 
       (1033*s[25])/324 + (745*s[26])/324 - s[39] + s[40] - s[41] + 2*s[42] + 
       s[43] - s[44]/2 - 3*s[46] + s[47]/2 + s[48]/2 - (7*s[49])/2 + 
       2*s[50] + (3*s[51])/2 + s[52]/2 - 2*s[53] - (13*s[55])/2 - s[56]/2 + 
       9*s[57] - (31*s[58])/6 + (37*s[59])/6 + (245*s[60])/12 + 
       (5*s[61])/18) + B3[v, w, u]*HPL[{1}, 1 - v]*(s[22] + s[25]/3 - 
       s[26]/3 + s[61]/3) + D2[u, v, w]*(s[37] + (16*s[61])/27) + 
     D2[u, w, v]*((2*s[22])/3 + (16*s[25])/27 - (16*s[26])/27 + s[37] + 
       (16*s[61])/27) - (4*D5[v, w, u]*s[61])/9 - 
     (B1[w, u, v]*HPL[{1}, 1 - w]*s[61])/27 - 
     (B2[v, u, w]*HPL[{1}, 1 - w]*s[61])/9 + 
     (2*B2[v, w, u]*HPL[{1}, 1 - w]*s[61])/27 + 
     (B3[w, u, v]*HPL[{1}, 1 - w]*s[61])/3 + 5*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1, 1}, 1 - w]*s[61] + B11[v, w, u]*HPL[{1}, 1 - w]*
      (-2*s[35] + 2*s[36] + (38*s[61])/27) + B11[w, u, v]*HPL[{1}, 1 - v]*
      (s[22]/3 + (38*s[25])/27 - (38*s[26])/27 - 2*s[35] + 2*s[36] + 
       (38*s[61])/27) + D21[v, w, u]*(-s[5] - s[6] - s[7]/6 - (2*s[8])/9 - 
       (2*s[9])/9 - (7*s[10])/9 - s[11]/3 - (7*s[12])/6 - (5*s[13])/2 + 
       (19*s[14])/6 + (25*s[15])/6 + 3*s[16] + (16*s[17])/3 + (53*s[18])/27 - 
       (74*s[19])/27 + (113*s[20])/27 + (199*s[21])/54 + s[22]/54 - 
       (29*s[23])/2 + (79*s[24])/54 - (1037*s[25])/486 - (673*s[26])/486 - 
       2*s[49] + 2*s[50] - 4*s[54] + 6*s[56] - (22*s[57])/3 + (20*s[58])/9 - 
       (20*s[59])/9 + 13*s[60] + (131*s[61])/81) + 
     D21[w, u, v]*(-s[6] + s[7]/6 - (4*s[8])/9 - (4*s[9])/9 - (5*s[10])/9 + 
       s[11]/3 + (7*s[12])/6 + (3*s[13])/2 + (11*s[14])/6 - (25*s[15])/6 - 
       2*s[16] - (10*s[17])/3 + (25*s[18])/27 - (40*s[19])/27 - 
       (17*s[20])/27 + (11*s[21])/54 + (11*s[22])/54 + (3*s[23])/2 + 
       (59*s[24])/54 + (23*s[25])/486 - (203*s[26])/486 - 2*s[49] + 2*s[50] - 
       4*s[54] + 6*s[56] - (22*s[57])/3 + (20*s[58])/9 - (20*s[59])/9 + 
       13*s[60] + (131*s[61])/81) + D21[u, v, w]*(-s[6] - s[7]/6 - s[10] + 
       s[12]/2 + (5*s[13])/6 + (3*s[14])/2 - (5*s[15])/2 - (8*s[16])/3 - 
       (10*s[17])/3 + (11*s[18])/9 - (20*s[19])/9 - (10*s[20])/9 + 
       (5*s[21])/18 + s[22]/6 - (13*s[23])/6 + (7*s[24])/2 - (49*s[25])/162 - 
       (77*s[26])/162 - s[47]/3 - s[48]/3 - (11*s[49])/3 + 2*s[50] - s[51] + 
       (4*s[52])/3 - (4*s[53])/3 - 8*s[54] - 9*s[55] + 5*s[56] - 
       (20*s[57])/3 + (13*s[58])/3 + s[59]/3 + (353*s[60])/18 + 
       (134*s[61])/81) + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1}, 1 - v]*
      (-128*s[23] + (128*s[24])/3 + 16*s[40] - 128*s[57] + (256*s[58])/3 - 
       (256*s[59])/3 + (128*s[60])/3 + (16*s[61])/9) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 1 - w]*
      (-64*s[9] + (128*s[21])/3 + (128*s[24])/3 - (64*s[25])/3 - 
       (64*s[26])/3 + 16*s[40] - 128*s[57] + (256*s[58])/3 - (256*s[59])/3 + 
       (128*s[60])/3 + (16*s[61])/9) + D22[u, v, w]*
      ((-15*s[5])/11 - (23*s[6])/22 - (368*s[7])/33 + (23*s[8])/66 + 
       (61*s[9])/6 + (13*s[10])/3 + (389*s[11])/44 + (195*s[12])/44 + 
       (113*s[13])/66 + (62*s[14])/11 + 26*s[15] + (703*s[16])/33 + 
       (3809*s[17])/132 + s[18]/18 + (77*s[19])/18 + (5147*s[20])/198 + 
       (689*s[21])/66 - (1031*s[22])/198 - (83*s[23])/132 - 
       (6037*s[24])/396 + (11945*s[25])/1188 - (9443*s[26])/1188 - 
       (24*s[43])/11 - (9*s[44])/22 - (30*s[45])/11 + (126*s[46])/11 + 
       (20*s[47])/33 + (20*s[48])/33 + (160*s[49])/33 - (103*s[50])/11 + 
       (12*s[51])/11 + (5*s[52])/66 + (398*s[53])/33 - (10*s[54])/11 + 
       (796*s[55])/11 + (78*s[56])/11 + (1769*s[57])/33 - (245*s[58])/99 - 
       (1063*s[59])/99 - (10709*s[60])/99 + (1883*s[61])/594) + 
     D17[v, w, u]*(2*s[43] - s[44]/2 - (3*s[47])/2 + (9*s[48])/2 - 
       (11*s[49])/2 - 2*s[50] - (5*s[51])/6 - s[52]/2 + (11*s[55])/6 + 
       (7*s[56])/2 - 16*s[57] + (13*s[58])/2 - (5*s[59])/2 + (157*s[60])/12 + 
       (61*s[61])/18) + D17[w, u, v]*(2*s[6] - (3*s[7])/2 + s[8] + s[9] + 
       s[10] + s[11]/2 + 2*s[12] - (5*s[13])/2 - (5*s[14])/2 + (5*s[15])/6 + 
       2*s[16] - (3*s[17])/2 + (10*s[18])/3 - (7*s[19])/3 + (16*s[20])/3 + 
       (11*s[21])/6 - (5*s[22])/6 - 17*s[23] + 4*s[24] - (2*s[25])/9 - 
       s[26]/9 + 2*s[43] - s[44]/2 - (3*s[47])/2 + (9*s[48])/2 - 
       (11*s[49])/2 - 2*s[50] - (5*s[51])/6 - s[52]/2 + (11*s[55])/6 + 
       (7*s[56])/2 - 16*s[57] + (13*s[58])/2 - (5*s[59])/2 + (157*s[60])/12 + 
       (61*s[61])/18) + HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1, 1}, 1 - v]*
      (15*s[22] + 5*s[25] - 5*s[26] + 5*s[61]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - w]*
      (4*s[37] + (16*s[61])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1, 1}, 1 - v]*(12*s[22] + (16*s[25])/3 - (16*s[26])/3 + 
       4*s[37] + (16*s[61])/3) + HPL[{1}, 1 - w]^4*HPL[{0, 0, 1}, 1 - v]*
      ((31*s[4])/12 - (535*s[5])/176 - (889*s[6])/704 - (52201*s[7])/6336 - 
       (14779*s[8])/6336 + (5467*s[9])/576 + (1831*s[10])/288 + 
       (14881*s[11])/4224 - (51305*s[12])/12672 - (703*s[13])/132 + 
       (42101*s[14])/2112 + (41387*s[15])/1728 + (48329*s[16])/3168 + 
       (379625*s[17])/12672 + (8027*s[18])/1728 - (1505*s[19])/1728 + 
       (696163*s[20])/19008 + (188389*s[21])/9504 - (34945*s[22])/9504 + 
       (98209*s[23])/4224 - (12373*s[24])/1408 - (1660729*s[25])/342144 - 
       (2629229*s[26])/342144 + s[37]/2 + (61*s[38])/72 - (103*s[39])/36 + 
       (103*s[40])/36 - (31*s[41])/12 + (319*s[42])/72 + (779*s[43])/792 - 
       (535*s[44])/264 - (2549*s[45])/792 + (119*s[46])/22 + 
       (10375*s[47])/6336 - (5597*s[48])/6336 - (55831*s[49])/6336 - 
       (13051*s[50])/3168 + (58291*s[51])/19008 + (1769*s[52])/1584 + 
       (4991*s[53])/792 - (227*s[54])/22 + (114407*s[55])/2112 + 
       (71827*s[56])/6336 + (420713*s[57])/4752 - (808315*s[58])/57024 + 
       (556225*s[59])/57024 - (1963235*s[60])/38016 + 
       (1419727*s[61])/256608) + D20[w, u, v]*(-s[5] - s[6] - (59*s[7])/6 + 
       (4*s[8])/9 + (76*s[9])/9 + (32*s[10])/9 + (55*s[11])/6 + 
       (25*s[12])/3 + (23*s[13])/6 + (31*s[14])/6 + (101*s[15])/6 + 
       (52*s[16])/3 + (35*s[17])/2 + (71*s[18])/27 + (25*s[19])/27 + 
       (644*s[20])/27 + (535*s[21])/54 - (263*s[22])/54 - (17*s[23])/3 - 
       (277*s[24])/27 + (4771*s[25])/486 - (3673*s[26])/486 + s[44]/2 - 
       2*s[45] + 10*s[46] + s[47]/6 + s[48]/6 - s[49]/6 - 8*s[50] - s[51]/6 - 
       s[52]/6 + (20*s[53])/3 - 4*s[54] + (287*s[55])/6 + (27*s[56])/2 + 
       (55*s[57])/3 + (61*s[58])/6 - (21*s[59])/2 - (2909*s[60])/36 + 
       (1105*s[61])/162) + D20[v, w, u]*(-s[5] - s[6] - 10*s[7] + 
       (5*s[8])/9 + (77*s[9])/9 + (31*s[10])/9 + (28*s[11])/3 + 
       (26*s[12])/3 + (13*s[13])/3 + (16*s[14])/3 + (49*s[15])/3 + 
       (52*s[16])/3 + (52*s[17])/3 + (67*s[18])/27 + (26*s[19])/27 + 
       (637*s[20])/27 + (256*s[21])/27 - (134*s[22])/27 - (14*s[23])/3 - 
       (281*s[24])/27 + (4979*s[25])/486 - (3593*s[26])/486 + s[44]/2 - 
       2*s[45] + 10*s[46] + s[47]/6 + s[48]/6 - s[49]/6 - 8*s[50] - s[51]/6 - 
       s[52]/6 + (20*s[53])/3 - 4*s[54] + (287*s[55])/6 + (27*s[56])/2 + 
       (55*s[57])/3 + (61*s[58])/6 - (21*s[59])/2 - (2909*s[60])/36 + 
       (1105*s[61])/162) + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u]*
      (64*s[4] - 8*s[18] - 4*s[19] + 16*s[40] - 128*s[57] + (128*s[58])/3 - 
       (128*s[59])/3 + (448*s[60])/3 + (128*s[61])/9) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u]*(-64*s[3] + 8*s[18] + 
       4*s[19] - 128*s[23] + (128*s[24])/3 + 16*s[40] - 128*s[57] + 
       (128*s[58])/3 - (128*s[59])/3 + (448*s[60])/3 + (128*s[61])/9) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*M1[w, u, v]*((-61*s[5])/44 - 
       (315*s[6])/88 - (533*s[7])/88 - (5*s[8])/88 + (19*s[9])/8 - 
       (3*s[10])/4 + (1139*s[11])/176 + (1893*s[12])/176 + (227*s[13])/88 + 
       (511*s[14])/44 + (151*s[15])/24 + (291*s[16])/44 - (81*s[17])/176 + 
       (67*s[18])/6 - (143*s[19])/12 + (6011*s[20])/264 + (464*s[21])/33 - 
       (181*s[22])/88 - (5943*s[23])/176 + (485*s[24])/528 + 
       (4613*s[25])/4752 - (40757*s[26])/4752 + s[35] - s[36] + (5*s[37])/2 - 
       s[38] - (5*s[39])/2 + (5*s[40])/2 - (9*s[41])/2 + 6*s[42] + 
       (35*s[43])/11 - (195*s[44])/88 - (25*s[45])/11 + (61*s[46])/11 + 
       (8*s[47])/11 - (83*s[48])/22 - (1633*s[49])/88 + (181*s[50])/44 + 
       (1241*s[51])/264 - (267*s[52])/88 - (219*s[53])/44 - (1247*s[54])/44 + 
       (223*s[55])/22 + (3479*s[56])/88 + (247*s[57])/22 + (5035*s[58])/264 + 
       (1643*s[59])/264 - (1929*s[60])/176 + (37579*s[61])/2376) + 
     HPL[{1}, 1 - w]^2*M1[w, u, v]*((-47*s[4])/4 + (71*s[5])/22 - 
       (1909*s[6])/176 - (23039*s[7])/528 + (18509*s[8])/1584 + 
       (3823*s[9])/144 - (215*s[10])/72 + (59285*s[11])/1056 + 
       (81049*s[12])/1056 + (2427*s[13])/44 - (19031*s[14])/528 + 
       (669*s[15])/16 + (6785*s[16])/88 + (29575*s[17])/1056 + 
       (1439*s[18])/432 + (2023*s[19])/432 + (153487*s[20])/4752 + 
       (21947*s[21])/2376 - (50683*s[22])/2376 - (56849*s[23])/352 - 
       (362227*s[24])/9504 + (7779839*s[25])/85536 - (3201413*s[26])/85536 + 
       (4*s[37])/3 - (3*s[38])/2 + (51*s[39])/4 - (51*s[40])/4 + 
       (47*s[41])/4 - (79*s[42])/4 - (215*s[43])/44 + (75*s[44])/11 - 
       (101*s[45])/44 + (672*s[46])/11 - (1845*s[47])/176 + 
       (2643*s[48])/176 + (4589*s[49])/176 - (3467*s[50])/88 - 
       (4661*s[51])/528 - (130*s[52])/11 + (303*s[53])/11 - (103*s[54])/22 + 
       (30485*s[55])/176 + (14983*s[56])/176 - (8972*s[57])/33 + 
       (257353*s[58])/1584 - (254239*s[59])/1584 - (369835*s[60])/1056 + 
       (5009*s[61])/132) + HPL[{1}, 1 - w]^2*M1[v, w, u]*
      (-11*s[4] + (37*s[5])/44 - (1945*s[6])/176 - (13725*s[7])/176 + 
       (7247*s[8])/528 + (2785*s[9])/48 + (265*s[10])/24 + 
       (30715*s[11])/352 + (109501*s[12])/1056 + (2843*s[13])/44 - 
       (3361*s[14])/176 + (14309*s[15])/144 + (34091*s[16])/264 + 
       (87323*s[17])/1056 + (1433*s[18])/144 + (1741*s[19])/144 + 
       (190621*s[20])/1584 + (28513*s[21])/792 - (30715*s[22])/792 - 
       (53973*s[23])/352 - (28213*s[24])/352 + (3595565*s[25])/28512 - 
       (1648199*s[26])/28512 + s[35] - s[36] + s[37]/3 - (4*s[38])/3 + 
       (35*s[39])/3 - (35*s[40])/3 + 11*s[41] - (113*s[42])/6 - 
       (257*s[43])/33 + (159*s[44])/22 - (659*s[45])/66 + (1030*s[46])/11 - 
       (2951*s[47])/528 + (3781*s[48])/528 + (17279*s[49])/528 - 
       (18181*s[50])/264 - (17867*s[51])/1584 - (1339*s[52])/132 + 
       (3563*s[53])/66 - (168*s[54])/11 + (177019*s[55])/528 + 
       (54493*s[56])/528 - (45457*s[57])/396 + (757067*s[58])/4752 - 
       (774041*s[59])/4752 - (2154533*s[60])/3168 + (1044553*s[61])/21384) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 0, 1}, 1 - w]*((-148*s[5])/11 - 
       (5515*s[6])/264 - (12719*s[7])/132 + (3227*s[8])/792 + 
       (6685*s[9])/72 + (521*s[10])/18 + (19457*s[11])/176 + 
       (60037*s[12])/528 + (16669*s[13])/264 + (1613*s[14])/33 + 
       (1045*s[15])/9 + (7515*s[16])/44 + (64937*s[17])/528 + 
       (13067*s[18])/216 - (8219*s[19])/216 + (575065*s[20])/2376 + 
       (338257*s[21])/2376 - (131933*s[22])/2376 - (117631*s[23])/528 - 
       (236899*s[24])/4752 + (4282607*s[25])/42768 - (4557701*s[26])/42768 - 
       6*s[35] - 4*s[36] + (8*s[37])/3 - (17*s[38])/3 + (94*s[39])/3 - 
       (94*s[40])/3 + 28*s[41] - (152*s[42])/3 - (244*s[43])/33 + 
       (753*s[44])/44 + (124*s[45])/33 + (1043*s[46])/11 - (1763*s[47])/88 + 
       (2153*s[48])/88 + (4915*s[49])/88 - (8893*s[50])/132 - 
       (29093*s[51])/792 - (1193*s[52])/44 + (318*s[53])/11 + (70*s[54])/11 + 
       (10655*s[55])/88 + (28795*s[56])/264 - (69665*s[57])/99 + 
       (775817*s[58])/2376 - (667547*s[59])/2376 - (83155*s[60])/176 + 
       (137107*s[61])/2673) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      (-28*s[4] + (193*s[5])/11 - (577*s[6])/88 - (5249*s[7])/88 + 
       (24941*s[8])/792 + (1891*s[9])/72 - (671*s[10])/36 + 
       (50165*s[11])/528 + (85865*s[12])/528 + (6865*s[13])/66 - 
       (36035*s[14])/264 + (389*s[15])/72 + (11149*s[16])/132 - 
       (36329*s[17])/528 + (1331*s[18])/216 + (691*s[19])/216 - 
       (52001*s[20])/2376 - (48523*s[21])/1188 - (37339*s[22])/1188 - 
       (207787*s[23])/528 - (138955*s[24])/4752 + (7728335*s[25])/42768 - 
       (1794941*s[26])/42768 - 6*s[35] - 4*s[36] + (8*s[37])/3 - 
       (17*s[38])/3 + (94*s[39])/3 - (94*s[40])/3 + 28*s[41] - 
       (152*s[42])/3 - (244*s[43])/33 + (753*s[44])/44 + (124*s[45])/33 + 
       (1043*s[46])/11 - (1763*s[47])/88 + (2153*s[48])/88 + 
       (4915*s[49])/88 - (8893*s[50])/132 - (29093*s[51])/792 - 
       (1193*s[52])/44 + (318*s[53])/11 + (70*s[54])/11 + (10655*s[55])/88 + 
       (28795*s[56])/264 - (69665*s[57])/99 + (775817*s[58])/2376 - 
       (667547*s[59])/2376 - (83155*s[60])/176 + (137107*s[61])/2673) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 0, 1}, 1 - u]*(8*s[4] - (212*s[5])/11 + 
       (4853*s[6])/264 - (4063*s[7])/132 - (805*s[8])/792 + (3805*s[9])/72 + 
       (521*s[10])/18 - (2815*s[11])/176 - (31355*s[12])/528 - 
       (7521*s[13])/88 + (2477*s[14])/33 + (1093*s[15])/9 + 
       (9457*s[16])/132 + (78505*s[17])/528 + (15035*s[18])/216 - 
       (9755*s[19])/216 + (424921*s[20])/2376 + (268369*s[21])/2376 - 
       (41861*s[22])/2376 - (9301*s[23])/176 + (236573*s[24])/4752 - 
       (3169633*s[25])/42768 - (1290677*s[26])/42768 + (8*s[37])/3 + 
       (31*s[38])/3 - (2*s[39])/3 + (2*s[40])/3 + 12*s[41] - (56*s[42])/3 + 
       (1244*s[43])/33 - (1295*s[44])/44 - (425*s[45])/33 - (109*s[46])/11 - 
       (11177*s[47])/264 + (30139*s[48])/264 - (36583*s[49])/264 - 
       (5437*s[50])/132 - (23717*s[51])/792 - (2363*s[52])/132 + 
       (986*s[53])/33 - (442*s[54])/11 + (15391*s[55])/88 + 
       (18619*s[56])/264 - (11153*s[57])/99 + (103049*s[58])/2376 - 
       (40859*s[59])/2376 + (683413*s[60])/1584 + (138670*s[61])/2673) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1}, 1 - u]*(-4*s[1] + 8*s[2] - 
       20*s[4] + (129*s[5])/11 + (2879*s[6])/88 + (1565*s[7])/264 + 
       (20909*s[8])/792 - (989*s[9])/72 - (671*s[10])/36 - 
       (16651*s[11])/528 - (5527*s[12])/528 - (981*s[13])/22 - 
       (31235*s[14])/264 + (773*s[15])/72 - (1939*s[16])/132 - 
       (7587*s[17])/176 + (1139*s[18])/216 - (1925*s[19])/216 - 
       (202145*s[20])/2376 - (77131*s[21])/1188 + (7301*s[22])/1188 - 
       (39353*s[23])/176 + (334517*s[24])/4752 - (16945*s[25])/42768 + 
       (1537027*s[26])/42768 + (8*s[37])/3 + (31*s[38])/3 - (2*s[39])/3 + 
       (2*s[40])/3 + 12*s[41] - (56*s[42])/3 + (1244*s[43])/33 - 
       (1295*s[44])/44 - (425*s[45])/33 - (109*s[46])/11 - 
       (11177*s[47])/264 + (30139*s[48])/264 - (36583*s[49])/264 - 
       (5437*s[50])/132 - (23717*s[51])/792 - (2363*s[52])/132 + 
       (986*s[53])/33 - (442*s[54])/11 + (15391*s[55])/88 + 
       (18619*s[56])/264 - (11153*s[57])/99 + (103049*s[58])/2376 - 
       (40859*s[59])/2376 + (683413*s[60])/1584 + (138670*s[61])/2673) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 1}, 1 - u]*((-4*s[3])/3 - (25*s[5])/2 - 
       (497*s[6])/24 - (223*s[7])/2 + (119*s[8])/24 + (2459*s[9])/24 + 
       (197*s[10])/6 + (5465*s[11])/48 + (1745*s[12])/16 + (1505*s[13])/24 + 
       (229*s[14])/4 + (5653*s[15])/36 + (767*s[16])/4 + (8219*s[17])/48 + 
       (3469*s[18])/72 - (1273*s[19])/72 + (18901*s[20])/72 + 
       (9775*s[21])/72 - (1393*s[22])/24 - (7009*s[23])/48 - 
       (3941*s[24])/48 + (148903*s[25])/1296 - (139309*s[26])/1296 + 
       (13*s[37])/3 - (2*s[38])/3 + (58*s[39])/3 - (58*s[40])/3 + 19*s[41] - 
       (101*s[42])/3 - (20*s[43])/3 + 7*s[44] - (19*s[45])/2 + 112*s[46] - 
       (143*s[47])/8 + (189*s[48])/8 + (247*s[49])/8 - (983*s[50])/12 - 
       (1609*s[51])/72 - (43*s[52])/2 + 57*s[53] - 24*s[54] + 
       (8129*s[55])/24 + (3191*s[56])/24 - (5855*s[57])/18 + 
       (53569*s[58])/216 - (48547*s[59])/216 - (100991*s[60])/144 + 
       (63731*s[61])/972) + HPL[{1}, 1 - v]^4*HPL[{0, 1, 1}, 1 - u]*
      ((-3427*s[5])/264 - (132689*s[6])/6336 - (357365*s[7])/3168 + 
       (100129*s[8])/19008 + (179759*s[9])/1728 + (14833*s[10])/432 + 
       (490283*s[11])/4224 + (1429847*s[12])/12672 + (136681*s[13])/2112 + 
       (47491*s[14])/792 + (33827*s[15])/216 + (600209*s[16])/3168 + 
       (2061275*s[17])/12672 + (269761*s[18])/5184 - (110233*s[19])/5184 + 
       (15302687*s[20])/57024 + (7868711*s[21])/57024 - 
       (3388903*s[22])/57024 - (193109*s[23])/1408 - (8944361*s[24])/114048 + 
       (116536333*s[25])/1026432 - (109979095*s[26])/1026432 + 
       (125*s[37])/36 - (65*s[38])/36 + (631*s[39])/36 - (631*s[40])/36 + 
       (95*s[41])/6 - (1079*s[42])/36 - (581*s[43])/792 + (7321*s[44])/1056 - 
       (4253*s[45])/396 + (10029*s[46])/88 - (91291*s[47])/6336 + 
       (153305*s[48])/6336 + (49099*s[49])/6336 - (265667*s[50])/3168 - 
       (488743*s[51])/19008 - (74323*s[52])/3168 + (41935*s[53])/792 - 
       (5975*s[54])/132 + (2184887*s[55])/6336 + (1012025*s[56])/6336 - 
       (365837*s[57])/1188 + (14951587*s[58])/57024 - 
       (12610993*s[59])/57024 - (25190881*s[60])/38016 + 
       (5112665*s[61])/64152) + HPL[{1}, 1 - v]^3*Omega2[u, v, w]*
      ((-91*s[5])/4 - (227*s[6])/8 - (4765*s[7])/24 + (695*s[8])/72 + 
       (13151*s[9])/72 + (596*s[10])/9 + (9521*s[11])/48 + (8725*s[12])/48 + 
       (1171*s[13])/12 + (775*s[14])/8 + (22303*s[15])/72 + (2119*s[16])/6 + 
       (5369*s[17])/16 + (15163*s[18])/216 - (1831*s[19])/216 + 
       (102277*s[20])/216 + (24575*s[21])/108 - (11317*s[22])/108 - 
       (10243*s[23])/48 - (75415*s[24])/432 + (792293*s[25])/3888 - 
       (687335*s[26])/3888 + (7*s[37])/3 - (7*s[38])/3 + (83*s[39])/3 - 
       (83*s[40])/3 + 26*s[41] - (142*s[42])/3 - (31*s[43])/3 + 
       (101*s[44])/8 - (133*s[45])/6 + (399*s[46])/2 - (241*s[47])/12 + 
       (139*s[48])/4 + (677*s[49])/12 - (637*s[50])/4 - (1171*s[51])/36 - 
       (617*s[52])/24 + (713*s[53])/6 - (59*s[54])/3 + (2909*s[55])/4 + 
       (2611*s[56])/12 - (11687*s[57])/36 + (9865*s[58])/27 - 
       (9838*s[59])/27 - (33463*s[60])/24 + (217601*s[61])/1944) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 1}, 1 - v]*(-27*s[4] + (41*s[5])/22 - 
       (2361*s[6])/88 - (51011*s[7])/264 + (8807*s[8])/264 + (3457*s[9])/24 + 
       (349*s[10])/12 + (37747*s[11])/176 + (44551*s[12])/176 + 
       (3387*s[13])/22 - (4313*s[14])/88 + (2033*s[15])/8 + 
       (42409*s[16])/132 + (110659*s[17])/528 + (667*s[18])/24 + 
       (679*s[19])/24 + (80063*s[20])/264 + (4201*s[21])/44 - 
       (37879*s[22])/396 - (211055*s[23])/528 - (307645*s[24])/1584 + 
       (4385173*s[25])/14256 - (2077807*s[26])/14256 + s[35]/2 - s[36] + 
       (8*s[37])/3 - 3*s[38] + 29*s[39] - 29*s[40] + 27*s[41] - 47*s[42] - 
       (207*s[43])/11 + (175*s[44])/11 - (278*s[45])/11 + (2558*s[46])/11 - 
       (3823*s[47])/264 + (1703*s[48])/88 + (20159*s[49])/264 - 
       (22381*s[50])/132 - (7009*s[51])/264 - (1765*s[52])/66 + 
       (4442*s[53])/33 - (1510*s[54])/33 + (74097*s[55])/88 + 
       (69485*s[56])/264 - (18289*s[57])/66 + (34737*s[58])/88 - 
       (35811*s[59])/88 - (293781*s[60])/176 + (220709*s[61])/1782) + 
     HPL[{1}, 1 - w]^3*Omega2[v, w, u]*(-34*s[4] + (271*s[5])/44 - 
       (2245*s[6])/88 - (55879*s[7])/264 + (11375*s[8])/264 + 
       (3685*s[9])/24 + (79*s[10])/3 + (42321*s[11])/176 + 
       (156895*s[12])/528 + (23525*s[13])/132 - (7631*s[14])/88 + 
       (18947*s[15])/72 + (7687*s[16])/22 + (103865*s[17])/528 + 
       (2249*s[18])/72 + (2095*s[19])/72 + (242725*s[20])/792 + 
       (34193*s[21])/396 - (41815*s[22])/396 - (271409*s[23])/528 - 
       (106637*s[24])/528 + (5075045*s[25])/14256 - (2228615*s[26])/14256 + 
       (8*s[37])/3 - (14*s[38])/3 + (112*s[39])/3 - (112*s[40])/3 + 
       34*s[41] - (182*s[42])/3 - (634*s[43])/33 + (1751*s[44])/88 - 
       (1651*s[45])/66 + (5673*s[46])/22 - (2851*s[47])/132 + 
       (1301*s[48])/44 + (11699*s[49])/132 - (8463*s[50])/44 - 
       (15193*s[51])/396 - (8795*s[52])/264 + (9593*s[53])/66 - 
       (1223*s[54])/33 + (117481*s[55])/132 + (37909*s[56])/132 - 
       (179669*s[57])/396 + (142357*s[58])/297 - (142546*s[59])/297 - 
       (158867*s[60])/88 + (2970095*s[61])/21384) + 
     HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*((-1328*s[5])/11 - 
       (1365*s[6])/11 - (76217*s[7])/66 + (620*s[8])/11 + 1000*s[9] + 
       401*s[10] + (11486*s[11])/11 + (19665*s[12])/22 + (28177*s[13])/66 + 
       (13679*s[14])/22 + (12203*s[15])/6 + (66350*s[16])/33 + 
       (71320*s[17])/33 + (2249*s[18])/9 + (1360*s[19])/9 + 
       (269290*s[20])/99 + (210769*s[21])/198 - (37211*s[22])/66 - 
       (30905*s[23])/66 - (28293*s[24])/22 + (2075191*s[25])/1782 - 
       (1488733*s[26])/1782 + 32*s[37] - (488*s[43])/11 - (504*s[44])/11 - 
       (2656*s[45])/11 + (12792*s[46])/11 + (535*s[47])/33 + (535*s[48])/33 + 
       (1277*s[49])/33 - (10062*s[50])/11 - (379*s[51])/33 - 
       (2602*s[52])/33 + (28120*s[53])/33 - (5344*s[54])/11 + 
       (63687*s[55])/11 + (16029*s[56])/11 + (92396*s[57])/33 + 
       (27773*s[58])/33 - (35047*s[59])/33 - (1895159*s[60])/198 + 
       (642010*s[61])/891) + HPL[{1}, 1 - w]^2*Qep[w, v, u]*
      ((-928*s[4])/3 + (2312*s[5])/33 - (6850*s[6])/33 - (175222*s[7])/99 + 
       (113786*s[8])/297 + (34150*s[9])/27 + (5180*s[10])/27 + 
       (203977*s[11])/99 + (85447*s[12])/33 + (157984*s[13])/99 - 
       (83990*s[14])/99 + (56962*s[15])/27 + (96868*s[16])/33 + 
       (17011*s[17])/11 + (14918*s[18])/81 + (25678*s[19])/81 + 
       (2133382*s[20])/891 + (499156*s[21])/891 - (794612*s[22])/891 - 
       (425735*s[23])/99 - (1586495*s[24])/891 + (25126351*s[25])/8019 - 
       (10112821*s[26])/8019 + (256*s[37])/9 - (464*s[38])/9 + 
       (3040*s[39])/9 - (3040*s[40])/9 + (928*s[41])/3 - (4880*s[42])/9 - 
       (17872*s[43])/99 + (6880*s[44])/33 - (19568*s[45])/99 + 
       (72064*s[46])/33 - (18710*s[47])/99 + (22738*s[48])/99 + 
       (90230*s[49])/99 - (165412*s[50])/99 - (108910*s[51])/297 - 
       (24952*s[52])/99 + (122704*s[53])/99 - (2624*s[54])/33 + 
       (80974*s[55])/11 + (223634*s[56])/99 - (1281992*s[57])/297 + 
       (3669214*s[58])/891 - (3686458*s[59])/891 - (4660873*s[60])/297 + 
       (8914852*s[61])/8019) + HPL[{1}, 1 - v]^2*Qep[w, v, u]*
      ((-8864*s[5])/33 - (30956*s[6])/99 - (230464*s[7])/99 + 
       (33772*s[8])/297 + (57764*s[9])/27 + (21280*s[10])/27 + 
       (25518*s[11])/11 + (208282*s[12])/99 + (36308*s[13])/33 + 
       (110600*s[14])/99 + (100312*s[15])/27 + (416488*s[16])/99 + 
       (402106*s[17])/99 + (62860*s[18])/81 - (2908*s[19])/81 + 
       (4970084*s[20])/891 + (2360972*s[21])/891 - (1096540*s[22])/891 - 
       (27950*s[23])/11 - (1911622*s[24])/891 + (19298342*s[25])/8019 - 
       (16488146*s[26])/8019 + (128*s[37])/9 - (272*s[38])/9 + 
       (2944*s[39])/9 - (2944*s[40])/9 + (928*s[41])/3 - (4976*s[42])/9 - 
       (16288*s[43])/99 + (5384*s[44])/33 - (25376*s[45])/99 + 
       (25664*s[46])/11 - (21460*s[47])/99 + (35564*s[48])/99 + 
       (85060*s[49])/99 - (186136*s[50])/99 - (102772*s[51])/297 - 
       (25304*s[52])/99 + (143648*s[53])/99 - (288*s[54])/11 + 
       (862724*s[55])/99 + (231356*s[56])/99 - (1024592*s[57])/297 + 
       (3610276*s[58])/891 - (3794236*s[59])/891 - (5061614*s[60])/297 + 
       (9631480*s[61])/8019) + HPL[{1}, 1 - w]^2*Qep[u, w, v]*
      ((-992*s[4])/3 + (656*s[5])/11 - (2844*s[6])/11 - (209092*s[7])/99 + 
       (14372*s[8])/33 + (4588*s[9])/3 + 248*s[10] + (78862*s[11])/33 + 
       (296666*s[12])/99 + (58648*s[13])/33 - (27116*s[14])/33 + 
       (68444*s[15])/27 + (338104*s[16])/99 + (179470*s[17])/99 + 
       (1204*s[18])/3 + (532*s[19])/3 + (306652*s[20])/99 + 
       (273376*s[21])/297 - (34688*s[22])/33 - (173642*s[23])/33 - 
       (552490*s[24])/297 + (3114718*s[25])/891 - (1406890*s[26])/891 + 
       (128*s[37])/3 - (400*s[38])/9 + (3296*s[39])/9 - (3296*s[40])/9 + 
       (992*s[41])/3 - (5392*s[42])/9 - (14912*s[43])/99 + (6064*s[44])/33 - 
       (24448*s[45])/99 + (28000*s[46])/11 - (22556*s[47])/99 + 
       (32356*s[48])/99 + (68108*s[49])/99 - (185144*s[50])/99 - 
       (121820*s[51])/297 - (37024*s[52])/99 + (135328*s[53])/99 - 
       (6368*s[54])/11 + (93900*s[55])/11 + (301684*s[56])/99 - 
       (1441216*s[57])/297 + (4417628*s[58])/891 - (4230212*s[59])/891 - 
       (5074714*s[60])/297 + (11821232*s[61])/8019) + D31[v, w, u]*s[67] + 
     D31[w, u, v]*s[67] + B6[v, u, w]*HPL[{1}, 1 - v]*
      (4*s[3] + 13*s[4] + (283*s[5])/44 + (859*s[6])/44 + (21361*s[7])/132 - 
       (5921*s[8])/396 - (4747*s[9])/36 - (1337*s[10])/36 - 
       (24217*s[11])/132 - (27479*s[12])/132 - (2833*s[13])/22 - 
       (148*s[14])/33 - (616*s[15])/3 - (11861*s[16])/44 - (6335*s[17])/33 - 
       (3305*s[18])/108 - (1379*s[19])/54 - (181097*s[20])/594 - 
       (130237*s[21])/1188 + (98111*s[22])/1188 + (9967*s[23])/44 + 
       (204971*s[24])/1188 - (5165459*s[25])/21384 + (2747735*s[26])/21384 - 
       s[36] + s[37] + 8*s[38] - (53*s[39])/2 + (57*s[40])/2 - (41*s[41])/2 + 
       36*s[42] + (497*s[43])/22 - (248*s[44])/11 + (235*s[45])/11 - 
       (3745*s[46])/22 + (114*s[47])/11 + (15*s[48])/11 - (1112*s[49])/11 + 
       (1366*s[50])/11 + (1559*s[51])/66 + (485*s[52])/22 - (2729*s[53])/33 + 
       (71*s[54])/11 - (5799*s[55])/11 - (4726*s[56])/33 + 
       (91675*s[57])/396 - (86648*s[58])/297 + (172567*s[59])/594 + 
       (60747*s[60])/44 - (761009*s[61])/10692 + s[67] + s[69]) + 
     B6[w, u, v]*HPL[{1}, 1 - w]*((15*s[4])/2 + (305*s[5])/44 + 
       (683*s[6])/44 + (18479*s[7])/132 - (4601*s[8])/396 - (1078*s[9])/9 - 
       (1187*s[10])/36 - (21247*s[11])/132 - (24377*s[12])/132 - 
       (7465*s[13])/66 - (445*s[14])/33 - (515*s[15])/3 - (30413*s[16])/132 - 
       (3523*s[17])/22 - (2675*s[18])/108 - (1145*s[19])/54 - 
       (81094*s[20])/297 - (120601*s[21])/1188 + (44287*s[22])/594 + 
       (21145*s[23])/132 + (185237*s[24])/1188 - (4389431*s[25])/21384 + 
       (2407703*s[26])/21384 - s[29] - (3*s[33])/4 - s[36] + s[37] + 
       8*s[38] - (53*s[39])/2 + (57*s[40])/2 - (41*s[41])/2 + 36*s[42] + 
       (497*s[43])/22 - (248*s[44])/11 + (235*s[45])/11 - (3745*s[46])/22 + 
       (114*s[47])/11 + (15*s[48])/11 - (1112*s[49])/11 + (1366*s[50])/11 + 
       (1559*s[51])/66 + (485*s[52])/22 - (2729*s[53])/33 + (71*s[54])/11 - 
       (5799*s[55])/11 - (4726*s[56])/33 + (91675*s[57])/396 - 
       (86648*s[58])/297 + (172567*s[59])/594 + (60747*s[60])/44 - 
       (761009*s[61])/10692 + s[67] + s[69]) + 
     D25[u, v, w]*((-17*s[36])/3 + 9*s[38] - (105*s[39])/4 + (335*s[40])/12 - 
       (87*s[41])/4 + (409*s[42])/12 + (4597*s[43])/132 - (7259*s[44])/264 + 
       (289*s[45])/22 - (22333*s[46])/132 - (1487*s[47])/792 + 
       (8083*s[48])/792 - (122347*s[49])/792 + (5032*s[50])/33 + 
       (12455*s[51])/792 + (12449*s[52])/792 - (40259*s[53])/396 - 
       (3011*s[54])/66 - (160057*s[55])/264 - (48529*s[56])/792 - 
       (28805*s[57])/594 - (1330679*s[58])/7128 + (1747109*s[59])/7128 + 
       (7989145*s[60])/4752 - (1690823*s[61])/64152 + s[62] + s[71]) + 
     D25[u, w, v]*((-13*s[3])/2 + (87*s[4])/4 + (179*s[5])/22 + 
       (339*s[6])/44 + (232981*s[7])/792 - (29561*s[8])/1188 - 
       (6628*s[9])/27 - (2615*s[10])/27 - (260045*s[11])/792 - 
       (35402*s[12])/99 - (181255*s[13])/792 + (20623*s[14])/792 - 
       (30755*s[15])/72 - (203897*s[16])/396 - (34835*s[17])/88 + 
       (532*s[18])/81 - (39421*s[19])/324 - (1927471*s[20])/3564 - 
       (1102775*s[21])/7128 + (1134835*s[22])/7128 + (59107*s[23])/396 + 
       (1561259*s[24])/3564 - (14524537*s[25])/32076 + 
       (6427759*s[26])/32076 - 2*s[30] - (17*s[36])/3 + 9*s[38] - 
       (105*s[39])/4 + (335*s[40])/12 - (87*s[41])/4 + (409*s[42])/12 + 
       (4597*s[43])/132 - (7259*s[44])/264 + (289*s[45])/22 - 
       (22333*s[46])/132 - (1487*s[47])/792 + (8083*s[48])/792 - 
       (122347*s[49])/792 + (5032*s[50])/33 + (12455*s[51])/792 + 
       (12449*s[52])/792 - (40259*s[53])/396 - (3011*s[54])/66 - 
       (160057*s[55])/264 - (48529*s[56])/792 - (28805*s[57])/594 - 
       (1330679*s[58])/7128 + (1747109*s[59])/7128 + (7989145*s[60])/4752 - 
       (1690823*s[61])/64152 + s[62] + s[71]) + D29[v, w, u]*s[75] + 
     D29[w, u, v]*s[75] + B9[w, u, v]*HPL[{1}, 1 - v]*
      (8*s[3] + 25*s[4] + (147*s[5])/11 + (446*s[6])/11 + (21163*s[7])/66 - 
       (2581*s[8])/99 - (2357*s[9])/9 - (667*s[10])/9 - (24019*s[11])/66 - 
       (13558*s[12])/33 - (5611*s[13])/22 - (791*s[14])/33 - (2447*s[15])/6 - 
       (5859*s[16])/11 - (25307*s[17])/66 - (1624*s[18])/27 - 
       (1376*s[19])/27 - (365923*s[20])/594 - (129511*s[21])/594 + 
       (48775*s[22])/297 + (9021*s[23])/22 + (103195*s[24])/297 - 
       (1274444*s[25])/2673 + (677438*s[26])/2673 + 2*s[37] + 16*s[38] - 
       52*s[39] + 56*s[40] - 40*s[41] + 70*s[42] + (508*s[43])/11 - 
       (496*s[44])/11 + (536*s[45])/11 - (4042*s[46])/11 + (206*s[47])/11 + 
       (74*s[48])/11 - (2224*s[49])/11 + (2908*s[50])/11 + (516*s[51])/11 + 
       (474*s[52])/11 - (1988*s[53])/11 + (142*s[54])/11 - (76925*s[55])/66 - 
       (3510*s[56])/11 + (9223*s[57])/22 - (39653*s[58])/66 + 
       (39425*s[59])/66 + (65235*s[60])/22 - (31435*s[61])/198 + s[75]) + 
     B9[v, w, u]*HPL[{1}, 1 - w]*(15*s[4] + (213*s[5])/11 + (424*s[6])/11 + 
       (21845*s[7])/66 - (2504*s[8])/99 - (5069*s[9])/18 - (746*s[10])/9 - 
       (24437*s[11])/66 - (13580*s[12])/33 - (5501*s[13])/22 - 
       (3221*s[14])/66 - (2509*s[15])/6 - (5991*s[16])/11 - 
       (26539*s[17])/66 - (1796*s[18])/27 - (1144*s[19])/27 - 
       (195925*s[20])/297 - (149201*s[21])/594 + (103699*s[22])/594 + 
       (4032*s[23])/11 + (106748*s[24])/297 - (2488421*s[25])/5346 + 
       (1416377*s[26])/5346 - (3*s[33])/2 + 2*s[37] + 16*s[38] - 52*s[39] + 
       56*s[40] - 40*s[41] + 70*s[42] + (508*s[43])/11 - (496*s[44])/11 + 
       (536*s[45])/11 - (4042*s[46])/11 + (206*s[47])/11 + (74*s[48])/11 - 
       (2224*s[49])/11 + (2908*s[50])/11 + (516*s[51])/11 + (474*s[52])/11 - 
       (1988*s[53])/11 + (142*s[54])/11 - (76925*s[55])/66 - 
       (3510*s[56])/11 + (9223*s[57])/22 - (39653*s[58])/66 + 
       (39425*s[59])/66 + (65235*s[60])/22 - (31435*s[61])/198 + s[75]) + 
     B10[u, v, w]*HPL[{1}, 1 - w]*((-11*s[4])/2 - (261*s[5])/22 - 
       (292*s[6])/11 - (22405*s[7])/132 + (1327*s[8])/99 + (2641*s[9])/18 + 
       (581*s[10])/18 + (25565*s[11])/132 + (7354*s[12])/33 + 
       (18145*s[13])/132 + (4913*s[14])/132 + (2305*s[15])/12 + 
       (8821*s[16])/33 + (7833*s[17])/44 + (2645*s[18])/54 - (173*s[19])/54 + 
       (101534*s[20])/297 + (167183*s[21])/1188 - (107419*s[22])/1188 - 
       (15205*s[23])/66 - (96269*s[24])/594 + (2543015*s[25])/10692 - 
       (1544357*s[26])/10692 - s[37] - 8*s[38] + 30*s[39] - 34*s[40] + 
       22*s[41] - 43*s[42] - (244*s[43])/11 + (265*s[44])/11 - 
       (272*s[45])/11 + (2062*s[46])/11 - (983*s[47])/66 - (59*s[48])/66 + 
       (6095*s[49])/66 - (1269*s[50])/11 - (1853*s[51])/66 - (971*s[52])/33 + 
       (2609*s[53])/33 - (472*s[54])/11 + (33475*s[55])/66 + 
       (4325*s[56])/22 - (13829*s[57])/33 + (8209*s[58])/22 - 
       (22661*s[59])/66 - (538661*s[60])/396 + (80567*s[61])/891 + 2*s[76]) + 
     B10[u, v, w]*HPL[{1}, 1 - v]*(-8*s[3] - (33*s[4])/2 - (107*s[5])/22 - 
       (325*s[6])/11 - (7043*s[7])/44 + (1580*s[8])/99 + (2237*s[9])/18 + 
       (427*s[10])/18 + (24883*s[11])/132 + (14851*s[12])/66 + 
       (19069*s[13])/132 - (191*s[14])/132 + (2077*s[15])/12 + 
       (8458*s[16])/33 + (20617*s[17])/132 + (2227*s[18])/54 + 
       (377*s[19])/54 + (83329*s[20])/297 + (122083*s[21])/1188 - 
       (93911*s[22])/1188 - (10094*s[23])/33 - (44741*s[24])/297 + 
       (2722315*s[25])/10692 - (1442497*s[26])/10692 - s[37] - 8*s[38] + 
       30*s[39] - 34*s[40] + 22*s[41] - 43*s[42] - (244*s[43])/11 + 
       (265*s[44])/11 - (272*s[45])/11 + (2062*s[46])/11 - (983*s[47])/66 - 
       (59*s[48])/66 + (6095*s[49])/66 - (1269*s[50])/11 - (1853*s[51])/66 - 
       (971*s[52])/33 + (2609*s[53])/33 - (472*s[54])/11 + (33475*s[55])/66 + 
       (4325*s[56])/22 - (13829*s[57])/33 + (8209*s[58])/22 - 
       (22661*s[59])/66 - (538661*s[60])/396 + (80567*s[61])/891 + 2*s[76]) + 
     D26[v, u, w]*(-5*s[4] + (3*s[5])/2 + (3*s[6])/2 - (401*s[7])/12 + 
       (28*s[8])/9 + (479*s[9])/18 + (133*s[10])/18 + (563*s[11])/12 + 
       (187*s[12])/3 + (159*s[13])/4 - (265*s[14])/12 + (117*s[15])/4 + 
       (101*s[16])/2 + (127*s[17])/12 - (4*s[18])/27 + (487*s[19])/27 + 
       (1424*s[20])/27 + (413*s[21])/108 - (2071*s[22])/108 - 52*s[23] - 
       (2645*s[24])/54 + (68033*s[25])/972 - (20801*s[26])/972 - s[32] - 
       5*s[38] + 11*s[39] - 13*s[40] + 8*s[41] - 12*s[42] - 11*s[43] + 
       (21*s[44])/2 - 5*s[45] + 44*s[46] - (7*s[47])/2 - (13*s[48])/2 + 
       (109*s[49])/2 - 35*s[50] - (65*s[51])/6 - (13*s[52])/2 + 14*s[53] + 
       29*s[54] + (457*s[55])/6 - (5*s[56])/2 - (613*s[57])/6 + 
       (1373*s[58])/18 - (1355*s[59])/18 - (5281*s[60])/12 + 
       (497*s[61])/162 - 2*s[70] + 2*s[77]) + 
     D26[w, u, v]*(-3*s[4] - s[5]/2 - (5*s[6])/2 - (421*s[7])/12 + 
       (5*s[8])/9 + (577*s[9])/18 + (161*s[10])/18 + (583*s[11])/12 + 
       (182*s[12])/3 + (175*s[13])/4 - (89*s[14])/12 + (355*s[15])/12 + 
       (111*s[16])/2 + (335*s[17])/12 - (193*s[18])/54 + (527*s[19])/27 + 
       (1441*s[20])/27 + (1129*s[21])/108 - (2255*s[22])/108 - (25*s[23])/2 - 
       (3001*s[24])/54 + (67447*s[25])/972 - (23095*s[26])/972 + s[33] - 
       5*s[38] + 11*s[39] - 13*s[40] + 8*s[41] - 12*s[42] - 11*s[43] + 
       (21*s[44])/2 - 5*s[45] + 44*s[46] - (7*s[47])/2 - (13*s[48])/2 + 
       (109*s[49])/2 - 35*s[50] - (65*s[51])/6 - (13*s[52])/2 + 14*s[53] + 
       29*s[54] + (457*s[55])/6 - (5*s[56])/2 - (613*s[57])/6 + 
       (1373*s[58])/18 - (1355*s[59])/18 - (5281*s[60])/12 + 
       (497*s[61])/162 - 2*s[70] + 2*s[77]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - w]*(21*s[2] - (219*s[3])/2 + 
       (1285*s[4])/4 + (4313*s[5])/11 + (35415*s[6])/44 + 
       (1914989*s[7])/264 - (630277*s[8])/1188 - (170192*s[9])/27 - 
       (103739*s[10])/54 - (6268489*s[11])/792 - (1698431*s[12])/198 - 
       (4082527*s[13])/792 - (1022653*s[14])/792 - (692177*s[15])/72 - 
       (1207010*s[16])/99 - (7603639*s[17])/792 - (113974*s[18])/81 - 
       (261389*s[19])/324 - (52400789*s[20])/3564 - (40922851*s[21])/7128 + 
       (27859607*s[22])/7128 + (811357*s[23])/99 + (13441775*s[24])/1782 - 
       (311815247*s[25])/32076 + (182942483*s[26])/32076 + 12*s[31] - 
       6*s[32] + (27*s[33])/2 - 24*s[34] - 6*s[35] - 66*s[36] + 
       (113*s[37])/3 + 274*s[38] - 1132*s[39] + 1258*s[40] - 997*s[41] + 
       1680*s[42] + (9620*s[43])/11 - (45277*s[44])/44 + (55177*s[45])/66 - 
       (506035*s[46])/66 + (61855*s[47])/132 - (5201*s[48])/132 - 
       (546805*s[49])/132 + (65726*s[50])/11 + (49213*s[51])/44 + 
       (117725*s[52])/132 - (398845*s[53])/99 - (944*s[54])/33 - 
       (3330383*s[55])/132 - (2670281*s[56])/396 + (6032365*s[57])/594 - 
       (46395685*s[58])/3564 + (47025811*s[59])/3564 + (48916253*s[60])/792 - 
       (102004369*s[61])/32076 - 4*s[64] - 4*s[66] + 12*s[67] + 4*s[69] + 
       12*s[72] - 12*s[73] - 9*s[74] + 9*s[75] - 6*s[77] - 20*s[78] + 
       152*s[79] - (110*s[80])/3) + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1}, 
       1 - v]*(-9*s[2] + (81*s[3])/2 + (2655*s[4])/4 + (1993*s[5])/22 + 
       (27671*s[6])/44 + (1722401*s[7])/264 - (892033*s[8])/1188 - 
       (142877*s[9])/27 - (38941*s[10])/27 - (5830513*s[11])/792 - 
       (843028*s[12])/99 - (4123315*s[13])/792 + (406115*s[14])/792 - 
       (602621*s[15])/72 - (2158501*s[16])/198 - (5931727*s[17])/792 - 
       (81862*s[18])/81 - (359597*s[19])/324 - (41873525*s[20])/3564 - 
       (27206599*s[21])/7128 + (24327287*s[22])/7128 + (2082371*s[23])/198 + 
       (6013681*s[24])/891 - (320458739*s[25])/32076 + 
       (156854795*s[26])/32076 + 6*s[30] - 6*s[33] - 6*s[34] - 6*s[35] - 
       66*s[36] + (113*s[37])/3 + 274*s[38] - 1132*s[39] + 1258*s[40] - 
       997*s[41] + 1680*s[42] + (9620*s[43])/11 - (45277*s[44])/44 + 
       (55177*s[45])/66 - (506035*s[46])/66 + (61855*s[47])/132 - 
       (5201*s[48])/132 - (546805*s[49])/132 + (65726*s[50])/11 + 
       (49213*s[51])/44 + (117725*s[52])/132 - (398845*s[53])/99 - 
       (944*s[54])/33 - (3330383*s[55])/132 - (2670281*s[56])/396 + 
       (6032365*s[57])/594 - (46395685*s[58])/3564 + (47025811*s[59])/3564 + 
       (48916253*s[60])/792 - (102004369*s[61])/32076 - 4*s[64] - 4*s[66] + 
       12*s[67] + 4*s[69] + 12*s[72] - 12*s[73] - 9*s[74] + 9*s[75] - 
       6*s[77] - 20*s[78] + 152*s[79] - (110*s[80])/3) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 1}, 1 - w]*
      ((39*s[3])/2 - (261*s[4])/4 - (1105*s[5])/22 - (2237*s[6])/44 - 
       (93391*s[7])/88 + (3173*s[8])/44 + 901*s[9] + 355*s[10] + 
       (103339*s[11])/88 + (27101*s[12])/22 + (66261*s[13])/88 + 
       (2763*s[14])/88 + (38395*s[15])/24 + (85031*s[16])/44 + 
       (138637*s[17])/88 + (131*s[18])/3 + (4393*s[19])/12 + 
       (279307*s[20])/132 + (187991*s[21])/264 - (152947*s[22])/264 - 
       (31035*s[23])/44 - (197137*s[24])/132 + (1818991*s[25])/1188 - 
       (919225*s[26])/1188 + 6*s[30] - 6*s[35] + 17*s[36] + (27*s[37])/2 - 
       60*s[38] + (645*s[39])/4 - (665*s[40])/4 + (593*s[41])/4 - 
       (857*s[42])/4 - (8651*s[43])/44 + (12897*s[44])/88 - (6323*s[45])/44 + 
       (26277*s[46])/22 - (1437*s[47])/88 - (7839*s[48])/88 + 
       (81927*s[49])/88 - (11492*s[50])/11 - (31357*s[51])/264 - 
       (7265*s[52])/88 + (15949*s[53])/22 + (4083*s[54])/11 + 
       (402719*s[55])/88 + (59449*s[56])/88 + (1987*s[57])/33 + 
       (1122029*s[58])/792 - (1410389*s[59])/792 - (6099839*s[60])/528 + 
       (277888*s[61])/891 - 3*s[62] - 17*s[80]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 1}, 1 - v]*
      (-83*s[4] - (1517*s[5])/44 - (2281*s[6])/44 - (46965*s[7])/44 + 
       (9563*s[8])/132 + (11095*s[9])/12 + (3911*s[10])/12 + 
       (13026*s[11])/11 + (55533*s[12])/44 + (33829*s[13])/44 + 
       (1541*s[14])/44 + (9787*s[15])/6 + (21244*s[16])/11 + 
       (67707*s[17])/44 + (2393*s[18])/36 + (5975*s[19])/18 + 
       (211804*s[20])/99 + (67627*s[21])/99 - (231857*s[22])/396 - 
       (18999*s[23])/22 - (286999*s[24])/198 + (11169113*s[25])/7128 - 
       (5505989*s[26])/7128 - (9*s[33])/2 + 6*s[34] - 6*s[35] + 17*s[36] + 
       (27*s[37])/2 - 60*s[38] + (645*s[39])/4 - (665*s[40])/4 + 
       (593*s[41])/4 - (857*s[42])/4 - (8651*s[43])/44 + (12897*s[44])/88 - 
       (6323*s[45])/44 + (26277*s[46])/22 - (1437*s[47])/88 - 
       (7839*s[48])/88 + (81927*s[49])/88 - (11492*s[50])/11 - 
       (31357*s[51])/264 - (7265*s[52])/88 + (15949*s[53])/22 + 
       (4083*s[54])/11 + (402719*s[55])/88 + (59449*s[56])/88 + 
       (1987*s[57])/33 + (1122029*s[58])/792 - (1410389*s[59])/792 - 
       (6099839*s[60])/528 + (277888*s[61])/891 - 3*s[62] - 17*s[80]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 1}, 1 - w]*
      ((13*s[3])/2 - (87*s[4])/4 - (45*s[5])/2 - 22*s[6] - (28745*s[7])/72 + 
       (664*s[8])/27 + (36667*s[9])/108 + (7321*s[10])/54 + 
       (15695*s[11])/36 + (32237*s[12])/72 + (19139*s[13])/72 + 
       (2647*s[14])/72 + (44573*s[15])/72 + (6655*s[16])/9 + 
       (7499*s[17])/12 + (8345*s[18])/324 + (20747*s[19])/162 + 
       (133807*s[20])/162 + (189415*s[21])/648 - (140675*s[22])/648 - 
       (20215*s[23])/72 - (356399*s[24])/648 + (3234967*s[25])/5832 - 
       (1732993*s[26])/5832 + 2*s[30] - 2*s[35] + (17*s[36])/3 + 
       (13*s[37])/6 - (41*s[38])/2 + (235*s[39])/4 - (725*s[40])/12 + 
       (221*s[41])/4 - (979*s[42])/12 - (851*s[43])/12 + (1279*s[44])/24 - 
       (641*s[45])/12 + (2663*s[46])/6 - (671*s[47])/72 - (2261*s[48])/72 + 
       (24365*s[49])/72 - (2317*s[50])/6 - (2989*s[51])/72 - 
       (2101*s[52])/72 + (2474*s[53])/9 + (403*s[54])/3 + (41651*s[55])/24 + 
       (6361*s[56])/24 + (73*s[57])/3 + (113641*s[58])/216 - 
       (144265*s[59])/216 - (1839197*s[60])/432 + (58961*s[61])/486 - s[62] - 
       (17*s[80])/3) + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 1}, 1 - v]*
      ((-67*s[4])/2 - (47*s[5])/4 - 20*s[6] - (4727*s[7])/12 + 
       (1675*s[8])/54 + (18289*s[9])/54 + (12535*s[10])/108 + 
       (31529*s[11])/72 + (33739*s[12])/72 + (10291*s[13])/36 + 
       (65*s[14])/18 + (10913*s[15])/18 + (25831*s[16])/36 + 
       (41177*s[17])/72 + (1741*s[18])/81 + (40361*s[19])/324 + 
       (252055*s[20])/324 + (19867*s[21])/81 - (69809*s[22])/324 - 
       (24685*s[23])/72 - (347065*s[24])/648 + (1707493*s[25])/2916 - 
       (207622*s[26])/729 - (3*s[33])/2 + 2*s[34] - 2*s[35] + (17*s[36])/3 + 
       (13*s[37])/6 - (41*s[38])/2 + (235*s[39])/4 - (725*s[40])/12 + 
       (221*s[41])/4 - (979*s[42])/12 - (851*s[43])/12 + (1279*s[44])/24 - 
       (641*s[45])/12 + (2663*s[46])/6 - (671*s[47])/72 - (2261*s[48])/72 + 
       (24365*s[49])/72 - (2317*s[50])/6 - (2989*s[51])/72 - 
       (2101*s[52])/72 + (2474*s[53])/9 + (403*s[54])/3 + (41651*s[55])/24 + 
       (6361*s[56])/24 + (73*s[57])/3 + (113641*s[58])/216 - 
       (144265*s[59])/216 - (1839197*s[60])/432 + (58961*s[61])/486 - s[62] - 
       (17*s[80])/3) + D25[v, w, u]*((-5*s[37])/6 - 11*s[38] + (23*s[39])/2 - 
       (23*s[40])/2 + 11*s[41] - 6*s[42] - (493*s[43])/22 + (625*s[44])/44 - 
       (4429*s[45])/132 + (22333*s[46])/132 + (1379*s[47])/132 - 
       (3835*s[48])/132 + (13771*s[49])/132 - (1582*s[50])/11 - 
       (1117*s[51])/132 - (1259*s[52])/132 + (40259*s[53])/396 + 
       (3011*s[54])/66 + (94543*s[55])/132 + (48481*s[56])/396 + 
       (114781*s[57])/594 + (144185*s[58])/891 - (759017*s[59])/3564 - 
       (225463*s[60])/132 + (3885697*s[61])/64152 + s[71] - (17*s[80])/3) + 
     B9[u, v, w]*HPL[{1}, 1 - v]*((-5*s[37])/6 - 11*s[38] + (23*s[39])/2 - 
       (23*s[40])/2 + 11*s[41] - 6*s[42] - (493*s[43])/22 + (625*s[44])/44 - 
       (4429*s[45])/132 + (22333*s[46])/132 + (1379*s[47])/132 - 
       (3835*s[48])/132 + (13771*s[49])/132 - (1582*s[50])/11 - 
       (1117*s[51])/132 - (1259*s[52])/132 + (40259*s[53])/396 + 
       (3011*s[54])/66 + (94543*s[55])/132 + (48481*s[56])/396 + 
       (114781*s[57])/594 + (144185*s[58])/891 - (759017*s[59])/3564 - 
       (225463*s[60])/132 + (3885697*s[61])/64152 + s[71] - (17*s[80])/3) + 
     D25[w, v, u]*(-11*s[4] - (831*s[5])/44 - (823*s[6])/44 - 
       (13703*s[7])/44 + (4789*s[8])/1188 + (30281*s[9])/108 + 
       (12325*s[10])/108 + (66301*s[11])/198 + (131521*s[12])/396 + 
       (79655*s[13])/396 + (31835*s[14])/396 + (8951*s[15])/18 + 
       (55883*s[16])/99 + (197111*s[17])/396 + (8815*s[18])/324 + 
       (15295*s[19])/162 + (617561*s[20])/891 + (220439*s[21])/891 - 
       (608299*s[22])/3564 - (9835*s[23])/99 - (385021*s[24])/891 + 
       (26300119*s[25])/64152 - (14945683*s[26])/64152 - (3*s[33])/2 + 
       2*s[34] - (5*s[37])/6 - 11*s[38] + (23*s[39])/2 - (23*s[40])/2 + 
       11*s[41] - 6*s[42] - (493*s[43])/22 + (625*s[44])/44 - 
       (4429*s[45])/132 + (22333*s[46])/132 + (1379*s[47])/132 - 
       (3835*s[48])/132 + (13771*s[49])/132 - (1582*s[50])/11 - 
       (1117*s[51])/132 - (1259*s[52])/132 + (40259*s[53])/396 + 
       (3011*s[54])/66 + (94543*s[55])/132 + (48481*s[56])/396 + 
       (114781*s[57])/594 + (144185*s[58])/891 - (759017*s[59])/3564 - 
       (225463*s[60])/132 + (3885697*s[61])/64152 + s[71] - (17*s[80])/3) + 
     B9[u, v, w]*HPL[{1}, 1 - w]*(-11*s[4] - (831*s[5])/44 - (823*s[6])/44 - 
       (13703*s[7])/44 + (4789*s[8])/1188 + (30281*s[9])/108 + 
       (12325*s[10])/108 + (66301*s[11])/198 + (131521*s[12])/396 + 
       (79655*s[13])/396 + (31835*s[14])/396 + (8951*s[15])/18 + 
       (55883*s[16])/99 + (197111*s[17])/396 + (8815*s[18])/324 + 
       (15295*s[19])/162 + (617561*s[20])/891 + (220439*s[21])/891 - 
       (608299*s[22])/3564 - (9835*s[23])/99 - (385021*s[24])/891 + 
       (26300119*s[25])/64152 - (14945683*s[26])/64152 - (3*s[33])/2 + 
       2*s[34] - (5*s[37])/6 - 11*s[38] + (23*s[39])/2 - (23*s[40])/2 + 
       11*s[41] - 6*s[42] - (493*s[43])/22 + (625*s[44])/44 - 
       (4429*s[45])/132 + (22333*s[46])/132 + (1379*s[47])/132 - 
       (3835*s[48])/132 + (13771*s[49])/132 - (1582*s[50])/11 - 
       (1117*s[51])/132 - (1259*s[52])/132 + (40259*s[53])/396 + 
       (3011*s[54])/66 + (94543*s[55])/132 + (48481*s[56])/396 + 
       (114781*s[57])/594 + (144185*s[58])/891 - (759017*s[59])/3564 - 
       (225463*s[60])/132 + (3885697*s[61])/64152 + s[71] - (17*s[80])/3) + 
     B9[v, w, u]*HPL[{1}, 1 - v]*(-6*s[5] - 8*s[6] - 64*s[7] + (8*s[8])/3 + 
       (176*s[9])/3 + (64*s[10])/3 + 64*s[11] + 58*s[12] + 32*s[13] + 
       28*s[14] + 96*s[15] + 108*s[16] + 104*s[17] + (184*s[18])/9 + 
       (8*s[19])/9 + (1312*s[20])/9 + (616*s[21])/9 - (308*s[22])/9 - 
       76*s[23] - (374*s[24])/9 + (5485*s[25])/81 - (4387*s[26])/81 - 
       (5*s[37])/6 - 9*s[38] + (39*s[39])/2 - (39*s[40])/2 + 19*s[41] - 
       22*s[42] - (493*s[43])/22 + (889*s[44])/44 - (5485*s[45])/132 + 
       (30781*s[46])/132 + (323*s[47])/132 - (1723*s[48])/132 + 
       (15091*s[49])/132 - (2198*s[50])/11 - (2173*s[51])/132 - 
       (995*s[52])/132 + (56099*s[53])/396 + (3011*s[54])/66 + 
       (126575*s[55])/132 + (76201*s[56])/396 + (39937*s[57])/594 + 
       (262391*s[58])/891 - (1203329*s[59])/3564 - (280595*s[60])/132 + 
       (6501673*s[61])/64152 + s[71] - (17*s[80])/3) + 
     B9[w, u, v]*HPL[{1}, 1 - w]*(-19*s[4] - (831*s[5])/44 - (823*s[6])/44 - 
       (16255*s[7])/44 + (20629*s[8])/1188 + (35177*s[9])/108 + 
       (13477*s[10])/108 + (78181*s[11])/198 + (160033*s[12])/396 + 
       (92327*s[13])/396 + (23915*s[14])/396 + (10391*s[15])/18 + 
       (65585*s[16])/99 + (222455*s[17])/396 + (13855*s[18])/324 + 
       (15799*s[19])/162 + (708641*s[20])/891 + (252119*s[21])/891 - 
       (714427*s[22])/3564 - (25477*s[23])/99 - (418681*s[24])/891 + 
       (31571671*s[25])/64152 - (17622643*s[26])/64152 - (3*s[33])/2 + 
       2*s[34] - (5*s[37])/6 - 9*s[38] + (39*s[39])/2 - (39*s[40])/2 + 
       19*s[41] - 22*s[42] - (493*s[43])/22 + (889*s[44])/44 - 
       (5485*s[45])/132 + (30781*s[46])/132 + (323*s[47])/132 - 
       (1723*s[48])/132 + (15091*s[49])/132 - (2198*s[50])/11 - 
       (2173*s[51])/132 - (995*s[52])/132 + (56099*s[53])/396 + 
       (3011*s[54])/66 + (126575*s[55])/132 + (76201*s[56])/396 + 
       (39937*s[57])/594 + (262391*s[58])/891 - (1203329*s[59])/3564 - 
       (280595*s[60])/132 + (6501673*s[61])/64152 + s[71] - (17*s[80])/3) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 1 - w]*
      ((21*s[2])/4 - (219*s[3])/8 + (1501*s[4])/16 + (2771*s[5])/22 + 
       (44131*s[6])/176 + (2331661*s[7])/1056 - (758617*s[8])/4752 - 
       (206255*s[9])/108 - (127193*s[10])/216 - (7630081*s[11])/3168 - 
       (2061833*s[12])/792 - (4960399*s[13])/3168 - (1243837*s[14])/3168 - 
       (842249*s[15])/288 - (365969*s[16])/99 - (9280471*s[17])/3168 - 
       (145051*s[18])/324 - (321869*s[19])/1296 - (63645965*s[20])/14256 - 
       (50995435*s[21])/28512 + (33608519*s[22])/28512 + (981415*s[23])/396 + 
       (16182671*s[24])/7128 - (377303297*s[25])/128304 + 
       (226330493*s[26])/128304 + 3*s[31] - (3*s[32])/2 + (15*s[33])/8 - 
       6*s[34] - (3*s[35])/2 - (47*s[36])/2 + (131*s[37])/12 + 
       (173*s[38])/2 - (1369*s[39])/4 + (1491*s[40])/4 - (583*s[41])/2 + 
       (1981*s[42])/4 + (12319*s[43])/44 - (53887*s[44])/176 + 
       (71443*s[45])/264 - (619351*s[46])/264 + (23359*s[47])/176 + 
       (83*s[48])/176 - (226453*s[49])/176 + (39423*s[50])/22 + 
       (56443*s[51])/176 + (47441*s[52])/176 - (486571*s[53])/396 - 
       (1079*s[54])/33 - (4068953*s[55])/528 - (3221387*s[56])/1584 + 
       (7121437*s[57])/2376 - (56673055*s[58])/14256 + 
       (57910573*s[59])/14256 + (59318983*s[60])/3168 - 
       (126417193*s[61])/128304 - 3*s[66] + 3*s[67] + 3*s[69] + 3*s[72] - 
       3*s[73] - (9*s[74])/4 + (9*s[75])/4 - (3*s[77])/2 + 3*s[78] + 
       26*s[79] - (25*s[80])/6) + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1}, 
       1 - v]*((-9*s[2])/4 + (165*s[3])/8 + (3115*s[4])/16 + (3461*s[5])/88 + 
       (38323*s[6])/176 + (2112013*s[7])/1056 - (1015621*s[8])/4752 - 
       (174593*s[9])/108 - (48157*s[10])/108 - (7140229*s[11])/3168 - 
       (512513*s[12])/198 - (5057023*s[13])/3168 + (353231*s[14])/3168 - 
       (745049*s[15])/288 - (2651839*s[16])/792 - (7437883*s[17])/3168 - 
       (51839*s[18])/162 - (441569*s[19])/1296 - (51627761*s[20])/14256 - 
       (34923379*s[21])/28512 + (29481011*s[22])/28512 + 
       (2492381*s[23])/792 + (1824871*s[24])/891 - (389855903*s[25])/128304 + 
       (196838591*s[26])/128304 + (3*s[30])/2 - (3*s[33])/2 - (3*s[34])/2 - 
       (3*s[35])/2 - (47*s[36])/2 + (131*s[37])/12 + (173*s[38])/2 - 
       (1369*s[39])/4 + (1491*s[40])/4 - (583*s[41])/2 + (1981*s[42])/4 + 
       (12319*s[43])/44 - (53887*s[44])/176 + (71443*s[45])/264 - 
       (619351*s[46])/264 + (23359*s[47])/176 + (83*s[48])/176 - 
       (226453*s[49])/176 + (39423*s[50])/22 + (56443*s[51])/176 + 
       (47441*s[52])/176 - (486571*s[53])/396 - (1079*s[54])/33 - 
       (4068953*s[55])/528 - (3221387*s[56])/1584 + (7121437*s[57])/2376 - 
       (56673055*s[58])/14256 + (57910573*s[59])/14256 + 
       (59318983*s[60])/3168 - (126417193*s[61])/128304 - 3*s[66] + 3*s[67] + 
       3*s[69] + 3*s[72] - 3*s[73] - (9*s[74])/4 + (9*s[75])/4 - 
       (3*s[77])/2 + 3*s[78] + 26*s[79] - (25*s[80])/6) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 1 - u]*(22*s[2] - 42*s[3] - 
       (341*s[4])/8 + (8215*s[5])/88 + (3997*s[6])/44 + (207419*s[7])/264 + 
       (12907*s[8])/594 - (20630*s[9])/27 - (64163*s[10])/216 - 
       (79427*s[11])/99 - (591131*s[12])/792 - (358309*s[13])/792 - 
       (192839*s[14])/396 - (80207*s[15])/72 - (1048417*s[16])/792 - 
       (507635*s[17])/396 - (60463*s[18])/324 - (7057*s[19])/162 - 
       (1712405*s[20])/891 - (6134683*s[21])/7128 + (1613317*s[22])/3564 - 
       (30409*s[23])/792 + (6452561*s[24])/7128 - (51654781*s[25])/64152 + 
       (40657123*s[26])/64152 + s[28] + 3*s[29] - (3*s[30])/2 + 5*s[31] - 
       (3*s[32])/2 - (129*s[33])/8 - (13*s[34])/2 - 5*s[36] + s[37] + 
       10*s[38] - (65*s[39])/2 + (73*s[40])/2 - (59*s[41])/2 + (89*s[42])/2 + 
       (749*s[43])/22 - (1387*s[44])/44 + (310*s[45])/11 - (5211*s[46])/22 + 
       (151*s[47])/44 + (481*s[48])/44 - (5249*s[49])/44 + (1761*s[50])/11 + 
       (1297*s[51])/44 + (1563*s[52])/44 - (3262*s[53])/33 - (300*s[54])/11 - 
       (90157*s[55])/132 - (28625*s[56])/132 + (40091*s[57])/99 - 
       (537187*s[58])/1188 + (510025*s[59])/1188 + (479483*s[60])/264 - 
       (1078471*s[61])/10692 - 3*s[66] + 8*s[68] - 8*s[69] + 24*s[70] + 
       3*s[76] - 32*s[77] + 6*s[79] - 2*s[80]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1}, 1 - u]*((-15*s[2])/2 + 32*s[3] + 
       (577*s[4])/8 - (6967*s[5])/88 - (575*s[6])/44 - (95177*s[7])/264 - 
       (16364*s[8])/297 + (11024*s[9])/27 + (43811*s[10])/216 + 
       (127247*s[11])/396 + (152027*s[12])/792 + (61951*s[13])/792 + 
       (43385*s[14])/99 + (45653*s[15])/72 + (533233*s[16])/792 + 
       (84779*s[17])/99 + (25717*s[18])/324 + (2315*s[19])/81 + 
       (963134*s[20])/891 + (3922909*s[21])/7128 - (192631*s[22])/891 + 
       (462925*s[23])/792 - (3595373*s[24])/7128 + (13180405*s[25])/64152 - 
       (19304635*s[26])/64152 - s[28] + (3*s[30])/2 - 5*s[31] + 
       (19*s[32])/2 - (27*s[33])/8 + (13*s[34])/2 - 5*s[36] + s[37] + 
       10*s[38] - (65*s[39])/2 + (73*s[40])/2 - (59*s[41])/2 + (89*s[42])/2 + 
       (749*s[43])/22 - (1387*s[44])/44 + (310*s[45])/11 - (5211*s[46])/22 + 
       (151*s[47])/44 + (481*s[48])/44 - (5249*s[49])/44 + (1761*s[50])/11 + 
       (1297*s[51])/44 + (1563*s[52])/44 - (3262*s[53])/33 - (300*s[54])/11 - 
       (90157*s[55])/132 - (28625*s[56])/132 + (40091*s[57])/99 - 
       (537187*s[58])/1188 + (510025*s[59])/1188 + (479483*s[60])/264 - 
       (1078471*s[61])/10692 - 3*s[66] + 8*s[68] - 8*s[69] + 24*s[70] + 
       3*s[76] - 32*s[77] + 6*s[79] - 2*s[80]) + 
     D26[u, v, w]*(20*s[4] + (401*s[5])/44 + (1421*s[6])/44 + 
       (11707*s[7])/44 - (28255*s[8])/1188 - (24005*s[9])/108 - 
       (6451*s[10])/108 - (59077*s[11])/198 - (133315*s[12])/396 - 
       (83585*s[13])/396 - (7721*s[14])/396 - (3043*s[15])/9 - 
       (86245*s[16])/198 - (124001*s[17])/396 - (14389*s[18])/324 - 
       (6289*s[19])/162 - (450077*s[20])/891 - (159182*s[21])/891 + 
       (498565*s[22])/3564 + (33571*s[23])/99 + (518003*s[24])/1782 - 
       (25049113*s[25])/64152 + (13298533*s[26])/64152 - s[36] + 
       (13*s[37])/6 + 11*s[38] - (167*s[39])/4 + (187*s[40])/4 - 
       (147*s[41])/4 + (239*s[42])/4 + (1625*s[43])/44 - (3407*s[44])/88 + 
       (4463*s[45])/132 - (19951*s[46])/66 + (3745*s[47])/264 + 
       (1435*s[48])/264 - (41419*s[49])/264 + (2468*s[50])/11 + 
       (10459*s[51])/264 + (9869*s[52])/264 - (29987*s[53])/198 + 
       (1141*s[54])/33 - (86041*s[55])/88 - (221359*s[56])/792 + 
       (214987*s[57])/594 - (3587819*s[58])/7128 + (3572699*s[59])/7128 + 
       (1296745*s[60])/528 - (2055503*s[61])/16038 + 8*s[79] - (5*s[80])/3) + 
     D26[u, w, v]*((-3*s[3])/2 + (67*s[4])/4 + (136*s[5])/11 + 
       (1377*s[6])/44 + (24217*s[7])/88 - (27859*s[8])/1188 - 
       (12349*s[9])/54 - (3581*s[10])/54 - (240169*s[11])/792 - 
       (66905*s[12])/198 - (163111*s[13])/792 - (29401*s[14])/792 - 
       (25307*s[15])/72 - (179519*s[16])/396 - (264139*s[17])/792 - 
       (9143*s[18])/162 - (9437*s[19])/324 - (1937027*s[20])/3564 - 
       (1446211*s[21])/7128 + (1028711*s[22])/7128 + (138145*s[23])/396 + 
       (1028779*s[24])/3564 - (3085760*s[25])/8019 + (3476227*s[26])/16038 - 
       s[36] + (13*s[37])/6 + 11*s[38] - (167*s[39])/4 + (187*s[40])/4 - 
       (147*s[41])/4 + (239*s[42])/4 + (1625*s[43])/44 - (3407*s[44])/88 + 
       (4463*s[45])/132 - (19951*s[46])/66 + (3745*s[47])/264 + 
       (1435*s[48])/264 - (41419*s[49])/264 + (2468*s[50])/11 + 
       (10459*s[51])/264 + (9869*s[52])/264 - (29987*s[53])/198 + 
       (1141*s[54])/33 - (86041*s[55])/88 - (221359*s[56])/792 + 
       (214987*s[57])/594 - (3587819*s[58])/7128 + (3572699*s[59])/7128 + 
       (1296745*s[60])/528 - (2055503*s[61])/16038 + 8*s[79] - (5*s[80])/3) + 
     B7[v, w, u]*HPL[{1}, 1 - v]*(4*s[3] + (39*s[4])/4 + (383*s[5])/44 + 
       (167*s[6])/11 + (112933*s[7])/792 - (6691*s[8])/594 - 
       (12685*s[9])/108 - (4091*s[10])/108 - (122267*s[11])/792 - 
       (65111*s[12])/396 - (77683*s[13])/792 - (11861*s[14])/792 - 
       (14777*s[15])/72 - (97841*s[16])/396 - (53957*s[17])/264 - 
       (8549*s[18])/324 - (8665*s[19])/324 - (1000279*s[20])/3564 - 
       (733985*s[21])/7128 + (510727*s[22])/7128 + (72265*s[23])/396 + 
       (565691*s[24])/3564 - (12728027*s[25])/64152 + (7052267*s[26])/64152 + 
       s[36]/3 + (5*s[37])/6 + 5*s[38] - 19*s[39] + (62*s[40])/3 - 14*s[41] + 
       (161*s[42])/6 + (541*s[43])/33 - (529*s[44])/33 + (844*s[45])/33 - 
       (5285*s[46])/33 + (860*s[47])/99 - (394*s[48])/99 - 
       (14521*s[49])/198 + (4030*s[50])/33 + (3239*s[51])/198 + 
       (2987*s[52])/198 - (8956*s[53])/99 + (142*s[54])/33 - 
       (6396*s[55])/11 - (9473*s[56])/66 + (6473*s[57])/66 - 
       (71728*s[58])/297 + (75676*s[59])/297 + (1535305*s[60])/1188 - 
       (407743*s[61])/5346 + s[76] - (4*s[80])/3) + 
     B7[w, u, v]*HPL[{1}, 1 - w]*((-3*s[2])/2 + (17*s[4])/4 + (537*s[5])/44 + 
       (145*s[6])/11 + (39617*s[7])/264 - (7505*s[8])/594 - 
       (13859*s[9])/108 - (4609*s[10])/108 - (125809*s[11])/792 - 
       (66871*s[12])/396 - (73261*s[13])/792 - (25435*s[14])/792 - 
       (14999*s[15])/72 - (100151*s[16])/396 - (166381*s[17])/792 - 
       (10783*s[18])/324 - (7013*s[19])/324 - (1120355*s[20])/3564 - 
       (901867*s[21])/7128 + (547181*s[22])/7128 + (62299*s[23])/396 + 
       (576757*s[24])/3564 - (12272473*s[25])/64152 + (7692445*s[26])/64152 - 
       s[31] - (3*s[33])/2 + 2*s[34] + s[36]/3 + (5*s[37])/6 + 5*s[38] - 
       19*s[39] + (62*s[40])/3 - 14*s[41] + (161*s[42])/6 + (541*s[43])/33 - 
       (529*s[44])/33 + (844*s[45])/33 - (5285*s[46])/33 + (860*s[47])/99 - 
       (394*s[48])/99 - (14521*s[49])/198 + (4030*s[50])/33 + 
       (3239*s[51])/198 + (2987*s[52])/198 - (8956*s[53])/99 + 
       (142*s[54])/33 - (6396*s[55])/11 - (9473*s[56])/66 + (6473*s[57])/66 - 
       (71728*s[58])/297 + (75676*s[59])/297 + (1535305*s[60])/1188 - 
       (407743*s[61])/5346 + s[76] - (4*s[80])/3) + 
     B5[w, u, v]*HPL[{1}, 1 - v]*((11*s[4])/2 + (11*s[5])/2 + 7*s[6] + 
       (3703*s[7])/36 - (220*s[8])/27 - (4715*s[9])/54 - (1729*s[10])/54 - 
       (3989*s[11])/36 - (2129*s[12])/18 - (2557*s[13])/36 - (323*s[14])/36 - 
       (5197*s[15])/36 - (3137*s[16])/18 - (569*s[17])/4 - (2509*s[18])/162 - 
       (3893*s[19])/162 - (33139*s[20])/162 - (23111*s[21])/324 + 
       (17473*s[22])/324 + (1747*s[23])/18 + (19715*s[24])/162 - 
       (412391*s[25])/2916 + (217091*s[26])/2916 - (2*s[36])/3 + s[37]/3 + 
       4*s[38] - 13*s[39] + (41*s[40])/3 - 11*s[41] + (52*s[42])/3 + 
       (41*s[43])/3 - (73*s[44])/6 + (47*s[45])/3 - (340*s[46])/3 + 
       (77*s[47])/18 + (11*s[48])/18 - (1109*s[49])/18 + (278*s[50])/3 + 
       (193*s[51])/18 + (157*s[52])/18 - (590*s[53])/9 - (46*s[54])/3 - 
       (2513*s[55])/6 - (505*s[56])/6 + 27*s[57] - (8407*s[58])/54 + 
       (9331*s[59])/54 + (105509*s[60])/108 - (11656*s[61])/243 + 2*s[76] - 
       (4*s[80])/3) + B5[v, u, w]*HPL[{1}, 1 - w]*(-s[2] + (11*s[4])/2 + 
       (15*s[5])/2 + 9*s[6] + (411*s[7])/4 - (260*s[8])/27 - (4687*s[9])/54 - 
       (1685*s[10])/54 - (3985*s[11])/36 - (2089*s[12])/18 - 
       (2365*s[13])/36 - (559*s[14])/36 - (5497*s[15])/36 - (3251*s[16])/18 - 
       (5581*s[17])/36 - (2441*s[18])/162 - (4315*s[19])/162 - 
       (34073*s[20])/162 - (27175*s[21])/324 + (16973*s[22])/324 + 
       (1753*s[23])/18 + (20269*s[24])/162 - (398575*s[25])/2916 + 
       (243091*s[26])/2916 - s[31] - 3*s[33] + 2*s[34] - (2*s[36])/3 + 
       s[37]/3 + 4*s[38] - 13*s[39] + (41*s[40])/3 - 11*s[41] + 
       (52*s[42])/3 + (41*s[43])/3 - (73*s[44])/6 + (47*s[45])/3 - 
       (340*s[46])/3 + (77*s[47])/18 + (11*s[48])/18 - (1109*s[49])/18 + 
       (278*s[50])/3 + (193*s[51])/18 + (157*s[52])/18 - (590*s[53])/9 - 
       (46*s[54])/3 - (2513*s[55])/6 - (505*s[56])/6 + 27*s[57] - 
       (8407*s[58])/54 + (9331*s[59])/54 + (105509*s[60])/108 - 
       (11656*s[61])/243 + 2*s[76] - (4*s[80])/3) + 
     B6[u, v, w]*HPL[{1}, 1 - v]*(-4*s[3] + s[4]/2 - s[5] - (5*s[6])/2 + 
       (47*s[7])/3 - (143*s[8])/54 - (917*s[9])/54 - (271*s[10])/54 - 
       (146*s[11])/9 - (178*s[12])/9 - (95*s[13])/9 + (11*s[14])/18 - 
       (164*s[15])/9 - (215*s[16])/9 - (104*s[17])/9 + (22*s[18])/81 - 
       (145*s[19])/81 - (5215*s[20])/162 - (1441*s[21])/162 + 
       (3703*s[22])/324 + (118*s[23])/9 + (1465*s[24])/81 - 
       (61277*s[25])/2916 + (28247*s[26])/2916 + s[37]/3 - 3*s[39] + 
       5*s[40] - 5*s[41] + 6*s[42] + 3*s[43] - (9*s[44])/2 - (4*s[45])/3 - 
       (44*s[46])/3 - s[47]/6 + (5*s[48])/6 - (89*s[49])/6 + 18*s[50] + 
       (7*s[51])/2 + (13*s[52])/6 - (76*s[53])/9 - (14*s[54])/3 - 
       (329*s[55])/6 - (97*s[56])/18 + (2639*s[57])/108 - (1792*s[58])/81 + 
       (2305*s[59])/81 + (1498*s[60])/9 + (6101*s[61])/2916 + 4*s[79] - 
       (4*s[80])/3) + B6[u, w, v]*HPL[{1}, 1 - w]*((9*s[4])/2 - 3*s[5] - 
       s[6]/2 + (19*s[7])/2 - (28*s[8])/27 - (877*s[9])/108 - (17*s[10])/27 - 
       (217*s[11])/18 - (139*s[12])/9 - (235*s[13])/18 + (97*s[14])/9 - 
       (301*s[15])/18 - (161*s[16])/9 - (65*s[17])/9 + (803*s[18])/162 - 
       (1229*s[19])/162 - (1477*s[20])/162 + (379*s[21])/81 + 
       (959*s[22])/162 + (199*s[23])/9 + (2717*s[24])/162 - 
       (16904*s[25])/729 + (6493*s[26])/1458 + (3*s[33])/4 + s[37]/3 - 
       3*s[39] + 5*s[40] - 5*s[41] + 6*s[42] + 3*s[43] - (9*s[44])/2 - 
       (4*s[45])/3 - (44*s[46])/3 - s[47]/6 + (5*s[48])/6 - (89*s[49])/6 + 
       18*s[50] + (7*s[51])/2 + (13*s[52])/6 - (76*s[53])/9 - (14*s[54])/3 - 
       (329*s[55])/6 - (97*s[56])/18 + (2639*s[57])/108 - (1792*s[58])/81 + 
       (2305*s[59])/81 + (1498*s[60])/9 + (6101*s[61])/2916 + 4*s[79] - 
       (4*s[80])/3) + B6[w, v, u]*HPL[{1}, 1 - v]*
      ((3*s[3])/4 + (111*s[4])/8 + (57*s[5])/11 + (1333*s[6])/88 + 
       (284261*s[7])/1584 - (38639*s[8])/2376 - (16313*s[9])/108 - 
       (4729*s[10])/108 - (324341*s[11])/1584 - (92425*s[12])/396 - 
       (25579*s[13])/176 + (2587*s[14])/1584 - (3631*s[15])/16 - 
       (78349*s[16])/264 - (326839*s[17])/1584 - (8341*s[18])/324 - 
       (22789*s[19])/648 - (2385211*s[20])/7128 - (1601135*s[21])/14256 + 
       (1368523*s[22])/14256 + (19901*s[23])/88 + (1455623*s[24])/7128 - 
       (8695679*s[25])/32076 + (1084940*s[26])/8019 - s[36]/6 + 
       (23*s[37])/12 + 9*s[38] - (241*s[39])/8 + (823*s[40])/24 - 
       (205*s[41])/8 + (1007*s[42])/24 + (6965*s[43])/264 - 
       (14863*s[44])/528 + (6421*s[45])/264 - (8953*s[46])/44 + 
       (17945*s[47])/1584 + (2435*s[48])/1584 - (189707*s[49])/1584 + 
       (5275*s[50])/33 + (48163*s[51])/1584 + (39133*s[52])/1584 - 
       (13457*s[53])/132 - (89*s[54])/22 - (114971*s[55])/176 - 
       (262213*s[56])/1584 + (303295*s[57])/1188 - (4810337*s[58])/14256 + 
       (4837193*s[59])/14256 + (16271147*s[60])/9504 - 
       (2550437*s[61])/32076 + 4*s[79] - (7*s[80])/6) + 
     B6[v, w, u]*HPL[{1}, 1 - w]*((47*s[4])/4 + (643*s[5])/88 + 
       (1377*s[6])/88 + (6047*s[7])/33 - (4039*s[8])/264 - (3767*s[9])/24 - 
       (1105*s[10])/24 - (18121*s[11])/88 - (20457*s[12])/88 - 
       (9269*s[13])/66 - (553*s[14])/44 - (5659*s[15])/24 - 
       (10081*s[16])/33 - (7193*s[17])/33 - (761*s[18])/24 - (173*s[19])/6 - 
       (47615*s[20])/132 - (100681*s[21])/792 + (9770*s[22])/99 + 
       (28889*s[23])/132 + (20171*s[24])/99 - (3788735*s[25])/14256 + 
       (2009939*s[26])/14256 - s[36]/6 + (23*s[37])/12 + 9*s[38] - 
       (241*s[39])/8 + (823*s[40])/24 - (205*s[41])/8 + (1007*s[42])/24 + 
       (6965*s[43])/264 - (14863*s[44])/528 + (6421*s[45])/264 - 
       (8953*s[46])/44 + (17945*s[47])/1584 + (2435*s[48])/1584 - 
       (189707*s[49])/1584 + (5275*s[50])/33 + (48163*s[51])/1584 + 
       (39133*s[52])/1584 - (13457*s[53])/132 - (89*s[54])/22 - 
       (114971*s[55])/176 - (262213*s[56])/1584 + (303295*s[57])/1188 - 
       (4810337*s[58])/14256 + (4837193*s[59])/14256 + 
       (16271147*s[60])/9504 - (2550437*s[61])/32076 + 4*s[79] - 
       (7*s[80])/6) + D26[v, w, u]*((19*s[3])/2 + (67*s[4])/4 + 
       (213*s[5])/11 + (1817*s[6])/44 + (79691*s[7])/264 - (2983*s[8])/132 - 
       (1513*s[9])/6 - (449*s[10])/6 - (29169*s[11])/88 - (7935*s[12])/22 - 
       (56365*s[13])/264 - (5281*s[14])/88 - (9577*s[15])/24 - 
       (66953*s[16])/132 - (104561*s[17])/264 - (457*s[18])/6 - 
       (311*s[19])/12 - (81601*s[20])/132 - (194267*s[21])/792 + 
       (121571*s[22])/792 + (51739*s[23])/132 + (121207*s[24])/396 - 
       (730151*s[25])/1782 + (219946*s[26])/891 + 2*s[30] - s[36] + 
       (3*s[37])/2 + 12*s[38] - (175*s[39])/4 + (187*s[40])/4 - 
       (139*s[41])/4 + (247*s[42])/4 + (1537*s[43])/44 - (3143*s[44])/88 + 
       (1957*s[45])/44 - (7281*s[46])/22 + (5065*s[47])/264 - 
       (413*s[48])/264 - (40099*s[49])/264 + (2600*s[50])/11 + 
       (3633*s[51])/88 + (10133*s[52])/264 - (11081*s[53])/66 + 
       (439*s[54])/11 - (285491*s[55])/264 - (28575*s[56])/88 + 
       (12575*s[57])/33 - (439987*s[58])/792 + (431971*s[59])/792 + 
       (4089115*s[60])/1584 - (15833*s[61])/99 - s[80]) + 
     D26[w, v, u]*(18*s[4] + (665*s[5])/44 + (1597*s[6])/44 + 
       (39037*s[7])/132 - (1317*s[8])/44 - (985*s[9])/4 - (261*s[10])/4 - 
       (7229*s[11])/22 - (16299*s[12])/44 - (29651*s[13])/132 - 
       (1249*s[14])/44 - (1126*s[15])/3 - (32041*s[16])/66 - 
       (46687*s[17])/132 - (2105*s[18])/36 - (635*s[19])/18 - 
       (56149*s[20])/99 - (21026*s[21])/99 + (20183*s[22])/132 + 
       (12646*s[23])/33 + (20863*s[24])/66 - (3008857*s[25])/7128 + 
       (1671205*s[26])/7128 - (3*s[33])/2 + 2*s[34] - s[36] + (3*s[37])/2 + 
       12*s[38] - (175*s[39])/4 + (187*s[40])/4 - (139*s[41])/4 + 
       (247*s[42])/4 + (1537*s[43])/44 - (3143*s[44])/88 + (1957*s[45])/44 - 
       (7281*s[46])/22 + (5065*s[47])/264 - (413*s[48])/264 - 
       (40099*s[49])/264 + (2600*s[50])/11 + (3633*s[51])/88 + 
       (10133*s[52])/264 - (11081*s[53])/66 + (439*s[54])/11 - 
       (285491*s[55])/264 - (28575*s[56])/88 + (12575*s[57])/33 - 
       (439987*s[58])/792 + (431971*s[59])/792 + (4089115*s[60])/1584 - 
       (15833*s[61])/99 - s[80]) + B6[w, u, v]*HPL[{1}, 1 - v]*
      ((13*s[3])/4 + (111*s[4])/8 + (235*s[5])/22 + (2169*s[6])/88 + 
       (344981*s[7])/1584 - (41191*s[8])/2376 - (19579*s[9])/108 - 
       (6107*s[10])/108 - (382729*s[11])/1584 - (105647*s[12])/396 - 
       (254807*s[13])/1584 - (35737*s[14])/1584 - (41287*s[15])/144 - 
       (289453*s[16])/792 - (146977*s[17])/528 - (13967*s[18])/324 - 
       (21425*s[19])/648 - (3057707*s[20])/7128 - (2277547*s[21])/14256 + 
       (1599083*s[22])/14256 + (218159*s[23])/792 + (1710757*s[24])/7128 - 
       (4943957*s[25])/16038 + (5518729*s[26])/32076 - s[30] - s[36]/6 + 
       (13*s[37])/12 + 10*s[38] - (265*s[39])/8 + (847*s[40])/24 - 
       (213*s[41])/8 + (1067*s[42])/24 + (8549*s[43])/264 - 
       (15655*s[44])/528 + (8357*s[45])/264 - (32051*s[46])/132 + 
       (17153*s[47])/1584 + (9563*s[48])/1584 - (219803*s[49])/1584 + 
       (5902*s[50])/33 + (45523*s[51])/1584 + (40717*s[52])/1584 - 
       (49765*s[53])/396 + (41*s[54])/66 - (140403*s[55])/176 - 
       (106999*s[56])/528 + (15611*s[57])/66 - (1821451*s[58])/4752 + 
       (1887427*s[59])/4752 + (19003811*s[60])/9504 - (270764*s[61])/2673 + 
       s[76] - (5*s[80])/6) + B6[v, u, w]*HPL[{1}, 1 - w]*
      (-s[2] + (51*s[4])/4 + (1039*s[5])/88 + (2301*s[6])/88 + 
       (14195*s[7])/66 - (44051*s[8])/2376 - (38797*s[9])/216 - 
       (11369*s[10])/216 - (190699*s[11])/792 - (210161*s[12])/792 - 
       (65129*s[13])/396 - (2303*s[14])/99 - (20405*s[15])/72 - 
       (142631*s[16])/396 - (108701*s[17])/396 - (21935*s[18])/648 - 
       (3263*s[19])/81 - (1477907*s[20])/3564 - (1119199*s[21])/7128 + 
       (397381*s[22])/3564 + (46265*s[23])/198 + (887185*s[24])/3564 - 
       (39516599*s[25])/128304 + (22164203*s[26])/128304 - s[31] - 
       (9*s[33])/4 + s[34] - s[36]/6 + (13*s[37])/12 + 10*s[38] - 
       (265*s[39])/8 + (847*s[40])/24 - (213*s[41])/8 + (1067*s[42])/24 + 
       (8549*s[43])/264 - (15655*s[44])/528 + (8357*s[45])/264 - 
       (32051*s[46])/132 + (17153*s[47])/1584 + (9563*s[48])/1584 - 
       (219803*s[49])/1584 + (5902*s[50])/33 + (45523*s[51])/1584 + 
       (40717*s[52])/1584 - (49765*s[53])/396 + (41*s[54])/66 - 
       (140403*s[55])/176 - (106999*s[56])/528 + (15611*s[57])/66 - 
       (1821451*s[58])/4752 + (1887427*s[59])/4752 + (19003811*s[60])/9504 - 
       (270764*s[61])/2673 + s[76] - (5*s[80])/6) + 
     B6[w, v, u]*HPL[{1}, 1 - w]*((21*s[4])/2 + (555*s[5])/88 + 
       (1707*s[6])/88 + (40313*s[7])/264 - (30169*s[8])/2376 - 
       (27635*s[9])/216 - (7789*s[10])/216 - (66733*s[11])/396 - 
       (147109*s[12])/792 - (91835*s[13])/792 - (15311*s[14])/792 - 
       (7307*s[15])/36 - (50135*s[16])/198 - (152711*s[17])/792 - 
       (16519*s[18])/648 - (7393*s[19])/324 - (529937*s[20])/1782 - 
       (193205*s[21])/1782 + (567799*s[22])/7128 + (68561*s[23])/396 + 
       (303535*s[24])/1782 - (27874507*s[25])/128304 + 
       (15387367*s[26])/128304 - s[36]/2 + (13*s[37])/12 + 6*s[38] - 
       (171*s[39])/8 + (191*s[40])/8 - (151*s[41])/8 + (239*s[42])/8 + 
       (1757*s[43])/88 - (3495*s[44])/176 + (5519*s[45])/264 - 
       (22789*s[46])/132 + (3305*s[47])/528 + (2051*s[48])/528 - 
       (43883*s[49])/528 + (1410*s[50])/11 + (3281*s[51])/176 + 
       (10309*s[52])/528 - (35663*s[53])/396 + (1603*s[54])/66 - 
       (311627*s[55])/528 - (260959*s[56])/1584 + (162517*s[57])/1188 - 
       (3837299*s[58])/14256 + (3881579*s[59])/14256 + (4471387*s[60])/3168 - 
       (2430713*s[61])/32076 + 4*s[79] - (5*s[80])/6) + 
     B6[v, w, u]*HPL[{1}, 1 - v]*((-3*s[3])/4 + (67*s[4])/8 + (371*s[5])/44 + 
       (1575*s[6])/88 + (28001*s[7])/176 - (30697*s[8])/2376 - 
       (3592*s[9])/27 - (2185*s[10])/54 - (272113*s[11])/1584 - 
       (18566*s[12])/99 - (178819*s[13])/1584 - (47485*s[14])/1584 - 
       (30335*s[15])/144 - (209549*s[16])/792 - (324199*s[17])/1584 - 
       (5425*s[18])/162 - (10757*s[19])/648 - (2296331*s[20])/7128 - 
       (1733971*s[21])/14256 + (1182491*s[22])/14256 + (146131*s[23])/792 + 
       (1201105*s[24])/7128 - (13796591*s[25])/64152 + 
       (7990205*s[26])/64152 - s[36]/2 + (13*s[37])/12 + 6*s[38] - 
       (171*s[39])/8 + (191*s[40])/8 - (151*s[41])/8 + (239*s[42])/8 + 
       (1757*s[43])/88 - (3495*s[44])/176 + (5519*s[45])/264 - 
       (22789*s[46])/132 + (3305*s[47])/528 + (2051*s[48])/528 - 
       (43883*s[49])/528 + (1410*s[50])/11 + (3281*s[51])/176 + 
       (10309*s[52])/528 - (35663*s[53])/396 + (1603*s[54])/66 - 
       (311627*s[55])/528 - (260959*s[56])/1584 + (162517*s[57])/1188 - 
       (3837299*s[58])/14256 + (3881579*s[59])/14256 + (4471387*s[60])/3168 - 
       (2430713*s[61])/32076 + 4*s[79] - (5*s[80])/6) + 
     B10[v, w, u]*HPL[{1}, 1 - w]*(-4*s[4] - (9*s[5])/2 - (13*s[6])/2 - 
       (493*s[7])/6 + (271*s[8])/54 + (3871*s[9])/54 + (1313*s[10])/54 + 
       (808*s[11])/9 + (1723*s[12])/18 + (1019*s[13])/18 + (227*s[14])/18 + 
       (1054*s[15])/9 + (1294*s[16])/9 + (2039*s[17])/18 + (2051*s[18])/162 + 
       (1349*s[19])/81 + (13840*s[20])/81 + (5233*s[21])/81 - 
       (7135*s[22])/162 - (551*s[23])/9 - (7976*s[24])/81 + 
       (324877*s[25])/2916 - (187321*s[26])/2916 + (2*s[36])/3 - s[37]/3 - 
       4*s[38] + (23*s[39])/2 - (73*s[40])/6 + (19*s[41])/2 - (89*s[42])/6 - 
       (73*s[43])/6 + (131*s[44])/12 - (73*s[45])/6 + (271*s[46])/3 - 
       (61*s[47])/36 - (127*s[48])/36 + (2143*s[49])/36 - (230*s[50])/3 - 
       (335*s[51])/36 - (245*s[52])/36 + (449*s[53])/9 + (76*s[54])/3 + 
       (3889*s[55])/12 + (707*s[56])/12 - 49*s[57] + (13991*s[58])/108 - 
       (15263*s[59])/108 - (172855*s[60])/216 + (8233*s[61])/243 - 
       (2*s[80])/3) + B10[w, u, v]*HPL[{1}, 1 - v]*((-11*s[4])/2 - 3*s[5] - 
       (5*s[6])/2 - (2875*s[7])/36 + (347*s[8])/54 + (1798*s[9])/27 + 
       (722*s[10])/27 + (3203*s[11])/36 + (856*s[12])/9 + (2185*s[13])/36 - 
       (85*s[14])/36 + (3943*s[15])/36 + (2447*s[16])/18 + (1247*s[17])/12 + 
       (923*s[18])/81 + (3539*s[19])/162 + (24385*s[20])/162 + 
       (16817*s[21])/324 - (13633*s[22])/324 - (1519*s[23])/18 - 
       (15509*s[24])/162 + (169357*s[25])/1458 - (85423*s[26])/1458 + 
       (2*s[36])/3 - s[37]/3 - 4*s[38] + (23*s[39])/2 - (73*s[40])/6 + 
       (19*s[41])/2 - (89*s[42])/6 - (73*s[43])/6 + (131*s[44])/12 - 
       (73*s[45])/6 + (271*s[46])/3 - (61*s[47])/36 - (127*s[48])/36 + 
       (2143*s[49])/36 - (230*s[50])/3 - (335*s[51])/36 - (245*s[52])/36 + 
       (449*s[53])/9 + (76*s[54])/3 + (3889*s[55])/12 + (707*s[56])/12 - 
       49*s[57] + (13991*s[58])/108 - (15263*s[59])/108 - 
       (172855*s[60])/216 + (8233*s[61])/243 - (2*s[80])/3) + 
     B7[u, v, w]*HPL[{1}, 1 - v]*((39*s[4])/4 + (295*s[5])/44 + 
       (145*s[6])/11 + (119797*s[7])/792 - (7439*s[8])/594 - 
       (13721*s[9])/108 - (4351*s[10])/108 - (129901*s[11])/792 - 
       (70105*s[12])/396 - (9553*s[13])/88 - (10519*s[14])/792 - 
       (4991*s[15])/24 - (16591*s[16])/66 - (156701*s[17])/792 - 
       (7585*s[18])/324 - (9113*s[19])/324 - (1045577*s[20])/3564 - 
       (743071*s[21])/7128 + (563153*s[22])/7128 + (3843*s[23])/22 + 
       (149131*s[24])/891 - (13584817*s[25])/64152 + (7276249*s[26])/64152 + 
       s[36]/3 + (5*s[37])/3 + 6*s[38] - (43*s[39])/2 + (145*s[40])/6 - 
       (37*s[41])/2 + (179*s[42])/6 + (1445*s[43])/66 - (2809*s[44])/132 + 
       (1435*s[45])/66 - (1857*s[46])/11 + (2549*s[47])/396 + 
       (899*s[48])/396 - (36467*s[49])/396 + (4327*s[50])/33 + 
       (8623*s[51])/396 + (6271*s[52])/396 - (6187*s[53])/66 + 
       (18*s[54])/11 - (78523*s[55])/132 - (54517*s[56])/396 + 
       (32599*s[57])/297 - (886817*s[58])/3564 + (944885*s[59])/3564 + 
       (3359327*s[60])/2376 - (524720*s[61])/8019 + 4*s[79] - (2*s[80])/3) + 
     B7[u, v, w]*HPL[{1}, 1 - w]*((35*s[4])/4 + (339*s[5])/44 + 
       (178*s[6])/11 + (40255*s[7])/264 - (247*s[8])/22 - (523*s[9])/4 - 
       (161*s[10])/4 - (14497*s[11])/88 - (7743*s[12])/44 - 
       (28043*s[13])/264 - (2083*s[14])/88 - (5111*s[15])/24 - 
       (16877*s[16])/66 - (54331*s[17])/264 - (895*s[18])/36 - 
       (923*s[19])/36 - (121289*s[20])/396 - (87863*s[21])/792 + 
       (21115*s[22])/264 + (10561*s[23])/66 + (3731*s[24])/22 - 
       (1494953*s[25])/7128 + (832985*s[26])/7128 + s[36]/3 + (5*s[37])/3 + 
       6*s[38] - (43*s[39])/2 + (145*s[40])/6 - (37*s[41])/2 + 
       (179*s[42])/6 + (1445*s[43])/66 - (2809*s[44])/132 + (1435*s[45])/66 - 
       (1857*s[46])/11 + (2549*s[47])/396 + (899*s[48])/396 - 
       (36467*s[49])/396 + (4327*s[50])/33 + (8623*s[51])/396 + 
       (6271*s[52])/396 - (6187*s[53])/66 + (18*s[54])/11 - 
       (78523*s[55])/132 - (54517*s[56])/396 + (32599*s[57])/297 - 
       (886817*s[58])/3564 + (944885*s[59])/3564 + (3359327*s[60])/2376 - 
       (524720*s[61])/8019 + 4*s[79] - (2*s[80])/3) + 
     B6[u, w, v]*HPL[{1}, 1 - v]*((19*s[3])/4 + (67*s[4])/8 + (635*s[5])/44 + 
       (2279*s[6])/88 + (104771*s[7])/528 - (10687*s[8])/792 - 
       (1510*s[9])/9 - (967*s[10])/18 - (111619*s[11])/528 - 
       (7307*s[12])/33 - (67673*s[13])/528 - (27943*s[14])/528 - 
       (4423*s[15])/16 - (88843*s[16])/264 - (49447*s[17])/176 - 
       (2791*s[18])/54 - (3383*s[19])/216 - (997529*s[20])/2376 - 
       (814153*s[21])/4752 + (479333*s[22])/4752 + (62189*s[23])/264 + 
       (473731*s[24])/2376 - (5430911*s[25])/21384 + (3454529*s[26])/21384 + 
       s[30] - s[36]/2 + (3*s[37])/4 + 6*s[38] - (199*s[39])/8 + 
       (211*s[40])/8 - (163*s[41])/8 + (291*s[42])/8 + (1713*s[43])/88 - 
       (3539*s[44])/176 + (2617*s[45])/88 - (9371*s[46])/44 + 
       (5549*s[47])/528 - (1777*s[48])/528 - (45335*s[49])/528 + 
       (1718*s[50])/11 + (12175*s[51])/528 + (11497*s[52])/528 - 
       (15217*s[53])/132 + (593*s[54])/22 - (394039*s[55])/528 - 
       (38035*s[56])/176 + (5765*s[57])/33 - (538943*s[58])/1584 + 
       (537527*s[59])/1584 + (5258063*s[60])/3168 - (63955*s[61])/594 - 
       s[80]/2) + B6[u, v, w]*HPL[{1}, 1 - w]*(12*s[4] + (863*s[5])/88 + 
       (1971*s[6])/88 + (16833*s[7])/88 - (15923*s[8])/792 - 
       (11431*s[9])/72 - (3167*s[10])/72 - (6860*s[11])/33 - 
       (60755*s[12])/264 - (35899*s[13])/264 - (5419*s[14])/264 - 
       (1537*s[15])/6 - (21031*s[16])/66 - (64243*s[17])/264 - 
       (8189*s[18])/216 - (2519*s[19])/108 - (110618*s[20])/297 - 
       (165833*s[21])/1188 + (233303*s[22])/2376 + (32563*s[23])/132 + 
       (120773*s[24])/594 - (11379581*s[25])/42768 + (6417809*s[26])/42768 - 
       (3*s[33])/4 + s[34] - s[36]/2 + (3*s[37])/4 + 6*s[38] - 
       (199*s[39])/8 + (211*s[40])/8 - (163*s[41])/8 + (291*s[42])/8 + 
       (1713*s[43])/88 - (3539*s[44])/176 + (2617*s[45])/88 - 
       (9371*s[46])/44 + (5549*s[47])/528 - (1777*s[48])/528 - 
       (45335*s[49])/528 + (1718*s[50])/11 + (12175*s[51])/528 + 
       (11497*s[52])/528 - (15217*s[53])/132 + (593*s[54])/22 - 
       (394039*s[55])/528 - (38035*s[56])/176 + (5765*s[57])/33 - 
       (538943*s[58])/1584 + (537527*s[59])/1584 + (5258063*s[60])/3168 - 
       (63955*s[61])/594 - s[80]/2) + B5[w, v, u]*HPL[{1}, 1 - v]*
      ((11*s[4])/2 + (9*s[5])/2 + 4*s[6] + (3343*s[7])/36 - (199*s[8])/27 - 
       (4241*s[9])/54 - (1501*s[10])/54 - (3641*s[11])/36 - (967*s[12])/9 - 
       (2353*s[13])/36 - (137*s[14])/36 - (4885*s[15])/36 - (2909*s[16])/18 - 
       (1573*s[17])/12 - (1957*s[18])/162 - (3761*s[19])/162 - 
       (14831*s[20])/81 - (21575*s[21])/324 + (15859*s[22])/324 + 
       (821*s[23])/9 + (9058*s[24])/81 - (378473*s[25])/2916 + 
       (204827*s[26])/2916 - (5*s[36])/3 + (4*s[37])/3 + 4*s[38] - 12*s[39] + 
       (38*s[40])/3 - 10*s[41] + (46*s[42])/3 + (44*s[43])/3 - (38*s[44])/3 + 
       (44*s[45])/3 - (310*s[46])/3 + (65*s[47])/18 + (17*s[48])/18 - 
       (1133*s[49])/18 + (254*s[50])/3 + (181*s[51])/18 + (71*s[52])/9 - 
       (542*s[53])/9 - (58*s[54])/3 - (2335*s[55])/6 - (445*s[56])/6 + 
       (70*s[57])/3 - (7621*s[58])/54 + (8779*s[59])/54 + (98549*s[60])/108 - 
       (19037*s[61])/486 + (2*s[80])/3) + B5[v, w, u]*HPL[{1}, 1 - w]*
      ((9*s[4])/2 + (11*s[5])/2 + 8*s[6] + (1129*s[7])/12 - (164*s[8])/27 - 
       (4441*s[9])/54 - (1499*s[10])/54 - (3667*s[11])/36 - (1915*s[12])/18 - 
       (2305*s[13])/36 - (493*s[14])/36 - (5065*s[15])/36 - (2987*s[16])/18 - 
       (5041*s[17])/36 - (2219*s[18])/162 - (3331*s[19])/162 - 
       (15688*s[20])/81 - (24067*s[21])/324 + (16175*s[22])/324 + 
       (1369*s[23])/18 + (18259*s[24])/162 - (372175*s[25])/2916 + 
       (217393*s[26])/2916 - (5*s[36])/3 + (4*s[37])/3 + 4*s[38] - 12*s[39] + 
       (38*s[40])/3 - 10*s[41] + (46*s[42])/3 + (44*s[43])/3 - (38*s[44])/3 + 
       (44*s[45])/3 - (310*s[46])/3 + (65*s[47])/18 + (17*s[48])/18 - 
       (1133*s[49])/18 + (254*s[50])/3 + (181*s[51])/18 + (71*s[52])/9 - 
       (542*s[53])/9 - (58*s[54])/3 - (2335*s[55])/6 - (445*s[56])/6 + 
       (70*s[57])/3 - (7621*s[58])/54 + (8779*s[59])/54 + (98549*s[60])/108 - 
       (19037*s[61])/486 + (2*s[80])/3) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - u]*(68*s[2] - 168*s[3] - (671*s[4])/2 + 
       (3537*s[5])/11 + (5089*s[6])/22 + (51897*s[7])/44 + (2538*s[8])/11 - 
       (2841*s[9])/2 - 665*s[10] - (46041*s[11])/44 - (12293*s[12])/22 - 
       (13445*s[13])/44 - (82509*s[14])/44 - (22007*s[15])/12 - 
       (22126*s[16])/11 - (117025*s[17])/44 - (2965*s[18])/6 + 
       (758*s[19])/3 - (257141*s[20])/66 - (96829*s[21])/44 + 
       (33373*s[22])/44 - (25269*s[23])/11 + (14574*s[24])/11 - 
       (429059*s[25])/1188 + (1318979*s[26])/1188 - 4*s[27] + 3*s[28] - 
       4*s[29] - 6*s[30] + 10*s[31] - 6*s[32] - (81*s[33])/2 - 24*s[34] - 
       8*s[36] - 6*s[37] - 32*s[38] + 95*s[39] - 123*s[40] + 87*s[41] - 
       131*s[42] - (981*s[43])/11 + (2191*s[44])/22 - (1075*s[45])/11 + 
       (7760*s[46])/11 - (1313*s[47])/66 - (2435*s[48])/66 + 
       (33419*s[49])/66 - (7572*s[50])/11 - (2033*s[51])/22 - 
       (3229*s[52])/66 + (14126*s[53])/33 + (628*s[54])/11 + 
       (179687*s[55])/66 + (9231*s[56])/22 - (1982*s[57])/33 + 
       (56021*s[58])/66 - (68377*s[59])/66 - (2850311*s[60])/396 + 
       (151979*s[61])/891 - 4*s[64] - 4*s[66] + 32*s[68] - 24*s[69] + 
       64*s[70] + 4*s[76] - 80*s[77] - 24*s[79] + 4*s[80]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1}, 1 - u]*(-30*s[2] + 170*s[3] + 
       (497*s[4])/2 - (3776*s[5])/11 - (3881*s[6])/22 - (323173*s[7])/132 - 
       (1434*s[8])/11 + (5095*s[9])/2 + 1078*s[10] + (107891*s[11])/44 + 
       (46027*s[12])/22 + (154637*s[13])/132 + (81443*s[14])/44 + 
       (44801*s[15])/12 + (141143*s[16])/33 + (582697*s[17])/132 + 
       (8893*s[18])/18 + (2317*s[19])/9 + (1257137*s[20])/198 + 
       (1157435*s[21])/396 - (191261*s[22])/132 + (42320*s[23])/33 - 
       (34303*s[24])/11 + (8080727*s[25])/3564 - (7088711*s[26])/3564 - 
       3*s[28] - 2*s[30] - 18*s[31] + 38*s[32] - (27*s[33])/2 + 24*s[34] - 
       8*s[36] - 6*s[37] - 32*s[38] + 95*s[39] - 123*s[40] + 87*s[41] - 
       131*s[42] - (981*s[43])/11 + (2191*s[44])/22 - (1075*s[45])/11 + 
       (7760*s[46])/11 - (1313*s[47])/66 - (2435*s[48])/66 + 
       (33419*s[49])/66 - (7572*s[50])/11 - (2033*s[51])/22 - 
       (3229*s[52])/66 + (14126*s[53])/33 + (628*s[54])/11 + 
       (179687*s[55])/66 + (9231*s[56])/22 - (1982*s[57])/33 + 
       (56021*s[58])/66 - (68377*s[59])/66 - (2850311*s[60])/396 + 
       (151979*s[61])/891 - 4*s[64] - 4*s[66] + 32*s[68] - 24*s[69] + 
       64*s[70] + 4*s[76] - 80*s[77] - 24*s[79] + 4*s[80]) + 
     B10[w, u, v]*HPL[{1}, 1 - w]*(-14*s[4] - (107*s[5])/22 - (529*s[6])/22 - 
       (17351*s[7])/99 + (3017*s[8])/198 + (2689*s[9])/18 + (575*s[10])/18 + 
       (13349*s[11])/66 + (7882*s[12])/33 + (14464*s[13])/99 + 
       (1043*s[14])/66 + (3685*s[15])/18 + (27805*s[16])/99 + 
       (35353*s[17])/198 + (1867*s[18])/54 + (388*s[19])/27 + 
       (201407*s[20])/594 + (7883*s[21])/66 - (56201*s[22])/594 - 
       (53293*s[23])/198 - (108281*s[24])/594 + (940123*s[25])/3564 - 
       (502561*s[26])/3564 - (4*s[36])/3 - s[37] - 8*s[38] + (69*s[39])/2 - 
       (247*s[40])/6 + (61*s[41])/2 - (311*s[42])/6 - (1673*s[43])/66 + 
       (4027*s[44])/132 - (423*s[45])/22 + (6571*s[46])/33 - 
       (5183*s[47])/396 - (1553*s[48])/396 + (44501*s[49])/396 - 
       (4687*s[50])/33 - (13681*s[51])/396 - (12565*s[52])/396 + 
       (8663*s[53])/99 - (1328*s[54])/33 + (73055*s[55])/132 + 
       (77135*s[56])/396 - (129620*s[57])/297 + (1367335*s[58])/3564 - 
       (1296019*s[59])/3564 - (3722489*s[60])/2376 + (1305347*s[61])/16038 - 
       8*s[79] + 4*s[80]) + B10[v, w, u]*HPL[{1}, 1 - v]*
      ((-33*s[4])/2 - (26*s[5])/11 - (507*s[6])/22 - (23197*s[7])/132 + 
       (11449*s[8])/594 + (3832*s[9])/27 + (866*s[10])/27 + 
       (81073*s[11])/396 + (24284*s[12])/99 + (61585*s[13])/396 - 
       (2795*s[14])/396 + (6845*s[15])/36 + (54983*s[16])/198 + 
       (65833*s[17])/396 + (2558*s[18])/81 + (3077*s[19])/162 + 
       (273274*s[20])/891 + (360925*s[21])/3564 - (331871*s[22])/3564 - 
       (60685*s[23])/198 - (312061*s[24])/1782 + (2217772*s[25])/8019 - 
       (2167535*s[26])/16038 - (4*s[36])/3 - s[37] - 8*s[38] + (69*s[39])/2 - 
       (247*s[40])/6 + (61*s[41])/2 - (311*s[42])/6 - (1673*s[43])/66 + 
       (4027*s[44])/132 - (423*s[45])/22 + (6571*s[46])/33 - 
       (5183*s[47])/396 - (1553*s[48])/396 + (44501*s[49])/396 - 
       (4687*s[50])/33 - (13681*s[51])/396 - (12565*s[52])/396 + 
       (8663*s[53])/99 - (1328*s[54])/33 + (73055*s[55])/132 + 
       (77135*s[56])/396 - (129620*s[57])/297 + (1367335*s[58])/3564 - 
       (1296019*s[59])/3564 - (3722489*s[60])/2376 + (1305347*s[61])/16038 - 
       8*s[79] + 4*s[80]) + D25[w, u, v]*((4*s[37])/3 + 11*s[38] - 
       (23*s[39])/2 + (23*s[40])/2 - 11*s[41] + 6*s[42] + (493*s[43])/22 - 
       (625*s[44])/44 + (2957*s[45])/66 - (7027*s[46])/33 - 
       (1379*s[47])/132 + (3835*s[48])/132 - (13771*s[49])/132 + 
       (3879*s[50])/22 + (1117*s[51])/132 + (1259*s[52])/132 - 
       (12680*s[53])/99 - (3077*s[54])/66 - (37953*s[55])/44 - 
       (71779*s[56])/396 - (53348*s[57])/297 - (876677*s[58])/3564 + 
       (940451*s[59])/3564 + (547165*s[60])/264 - (1427575*s[61])/16038 + 
       s[65] - s[71] - 2*s[76] + (20*s[80])/3) + 
     D25[v, u, w]*(11*s[4] + (443*s[5])/22 + (571*s[6])/22 + 
       (17465*s[7])/44 - (2047*s[8])/297 - (19723*s[9])/54 - 
       (7547*s[10])/54 - (168803*s[11])/396 - (43234*s[12])/99 - 
       (108629*s[13])/396 - (44375*s[14])/396 - (21085*s[15])/36 - 
       (137737*s[16])/198 - (234995*s[17])/396 - (8465*s[18])/162 - 
       (7412*s[19])/81 - (1568389*s[20])/1782 - (1151597*s[21])/3564 + 
       (785047*s[22])/3564 + (21617*s[23])/198 + (891185*s[24])/1782 - 
       (16505087*s[25])/32076 + (9698675*s[26])/32076 + s[28] + 2*s[31] - 
       2*s[34] + (4*s[37])/3 + 11*s[38] - (23*s[39])/2 + (23*s[40])/2 - 
       11*s[41] + 6*s[42] + (493*s[43])/22 - (625*s[44])/44 + 
       (2957*s[45])/66 - (7027*s[46])/33 - (1379*s[47])/132 + 
       (3835*s[48])/132 - (13771*s[49])/132 + (3879*s[50])/22 + 
       (1117*s[51])/132 + (1259*s[52])/132 - (12680*s[53])/99 - 
       (3077*s[54])/66 - (37953*s[55])/44 - (71779*s[56])/396 - 
       (53348*s[57])/297 - (876677*s[58])/3564 + (940451*s[59])/3564 + 
       (547165*s[60])/264 - (1427575*s[61])/16038 + s[65] - s[71] - 2*s[76] + 
       (20*s[80])/3) + HPL[{1}, 1 - v]^2*Qep[v, w, u]*
      ((-1368*s[5])/11 - (666*s[6])/11 - (29408*s[7])/33 + (1810*s[8])/33 + 
       842*s[9] + (1048*s[10])/3 + (31903*s[11])/33 + (10199*s[12])/11 + 
       (12998*s[13])/33 + (4044*s[14])/11 + 1484*s[15] + (58156*s[16])/33 + 
       (51797*s[17])/33 + 298*s[18] + (98*s[19])/3 + (76954*s[20])/33 + 
       (11674*s[21])/11 - (5498*s[22])/11 - (42775*s[23])/33 - 
       (93593*s[24])/99 + (292091*s[25])/297 - (231521*s[26])/297 - 
       48*s[38] + 160*s[39] - 160*s[40] + 128*s[41] - (688*s[42])/3 - 
       (2800*s[43])/33 + (5008*s[44])/33 - (624*s[45])/11 + 
       (29440*s[46])/33 - (602*s[47])/11 + (190*s[48])/11 + 
       (22094*s[49])/33 - (25972*s[50])/33 - (4738*s[51])/33 - 
       (520*s[52])/33 + (5904*s[53])/11 + (12928*s[54])/33 + 
       (102070*s[55])/33 + (21530*s[56])/33 - (181000*s[57])/99 + 
       (486422*s[58])/297 - (522818*s[59])/297 - (258799*s[60])/33 + 
       (934052*s[61])/2673 - 128*s[82]) + HPL[{1}, 1 - w]^2*Qep[v, w, u]*
      (-128*s[4] + (560*s[5])/33 + (752*s[6])/33 - (88840*s[7])/99 + 
       (58640*s[8])/297 + (18016*s[9])/27 + (5888*s[10])/27 + 
       (98800*s[11])/99 + (117608*s[12])/99 + (62600*s[13])/99 - 
       (45224*s[14])/99 + (12232*s[15])/9 + (168176*s[16])/99 + 
       (37904*s[17])/33 + (2480*s[18])/81 + (25552*s[19])/81 + 
       (1276672*s[20])/891 + (288520*s[21])/891 - (420632*s[22])/891 - 
       (198472*s[23])/99 - (974216*s[24])/891 + (12067744*s[25])/8019 - 
       (4618480*s[26])/8019 - (128*s[37])/9 - (80*s[38])/3 + (448*s[39])/3 - 
       (448*s[40])/3 + 128*s[41] - 240*s[42] - (2272*s[43])/33 + 
       (3512*s[44])/33 - (3808*s[45])/33 + (11456*s[46])/11 - 
       (8168*s[47])/99 + (14536*s[48])/99 + (61112*s[49])/99 - 
       (10960*s[50])/11 - (1352*s[51])/11 - (1912*s[52])/99 + 
       (74080*s[53])/99 + (4896*s[54])/11 + (440168*s[55])/99 + 
       (24104*s[56])/33 - (95200*s[57])/99 + (17288*s[58])/11 - 
       (186248*s[59])/99 - (2729932*s[60])/297 + (390976*s[61])/891 - 
       128*s[82]) + HPL[{1}, 1 - v]^2*Qep[u, v, w]*((-5152*s[5])/33 - 
       (17024*s[6])/99 - (123128*s[7])/99 + (18784*s[8])/297 + 
       (30992*s[9])/27 + (11152*s[10])/27 + (42824*s[11])/33 + 
       (126880*s[12])/99 + (63224*s[13])/99 + (62072*s[14])/99 + 
       (51400*s[15])/27 + (75104*s[16])/33 + (198152*s[17])/99 + 
       (38464*s[18])/81 - (6736*s[19])/81 + (2779616*s[20])/891 + 
       (1332632*s[21])/891 - (593176*s[22])/891 - (150256*s[23])/99 - 
       (1006768*s[24])/891 + (10409240*s[25])/8019 - (9041816*s[26])/8019 + 
       (128*s[37])/9 - (368*s[38])/9 + (1696*s[39])/9 - (1696*s[40])/9 + 
       (448*s[41])/3 - (2576*s[42])/9 - (5440*s[43])/99 + (4192*s[44])/33 - 
       (10496*s[45])/99 + (13792*s[46])/11 - (3088*s[47])/33 + 
       (3776*s[48])/33 + (14720*s[49])/33 - (97648*s[50])/99 - 
       (55552*s[51])/297 - (4544*s[52])/33 + (21920*s[53])/33 - 
       (1184*s[54])/11 + (140848*s[55])/33 + (142640*s[56])/99 - 
       (702224*s[57])/297 + (2207680*s[58])/891 - (2112208*s[59])/891 - 
       (914344*s[60])/99 + (5708536*s[61])/8019 - 128*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[v, w, u]*((-1712*s[5])/33 - 
       (900*s[6])/11 - (121204*s[7])/99 + (18748*s[8])/297 + 
       (27716*s[9])/27 + (12640*s[10])/27 + (117158*s[11])/99 + 
       (109510*s[12])/99 + (55048*s[13])/99 + (47180*s[14])/99 + 
       (17876*s[15])/9 + (202984*s[16])/99 + (66470*s[17])/33 + 
       (14068*s[18])/81 + (24068*s[19])/81 + (2524364*s[20])/891 + 
       (975344*s[21])/891 - (546424*s[22])/891 - (8474*s[23])/99 - 
       (1364458*s[24])/891 + (10951154*s[25])/8019 - (7511534*s[26])/8019 + 
       (64*s[38])/3 + 16*s[39] - 16*s[40] + (176*s[41])/3 - (112*s[42])/3 - 
       (3056*s[43])/33 + (2056*s[44])/33 - (7120*s[45])/33 + 
       (40640*s[46])/33 + (9044*s[47])/99 + (332*s[48])/99 + 
       (41068*s[49])/99 - (35944*s[50])/33 + (3484*s[51])/99 + 
       (1048*s[52])/99 + (88064*s[53])/99 - (320*s[54])/33 + 
       (602348*s[55])/99 + (34924*s[56])/33 + (266224*s[57])/99 + 
       (85196*s[58])/99 - (46396*s[59])/33 - (3329738*s[60])/297 + 
       (1564472*s[61])/2673 - 96*s[82]) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1}, 1 - v]*(-18*s[3] - 45*s[4] - (193*s[5])/11 - 
       (1547*s[6])/22 - (107405*s[7])/198 + (30203*s[8])/594 + 
       (10433*s[9])/27 + (5333*s[10])/54 + (204797*s[11])/396 + 
       (58129*s[12])/99 + (147031*s[13])/396 + (33785*s[14])/396 + 
       (14089*s[15])/18 + (329641*s[16])/396 + (98251*s[17])/132 + 
       (2357*s[18])/162 + (15488*s[19])/81 + (1709227*s[20])/1782 + 
       (814589*s[21])/3564 - (861241*s[22])/3564 - (29111*s[23])/396 - 
       (2327023*s[24])/3564 + (12623401*s[25])/16038 - (2692841*s[26])/8019 - 
       24*s[30] + (52*s[36])/3 + (22*s[37])/3 + 5*s[38] - 28*s[39] + 
       (80*s[40])/3 - (59*s[41])/2 + (437*s[42])/6 - (601*s[43])/66 + 
       (2407*s[44])/66 - (5921*s[45])/33 + (20653*s[46])/33 + 
       (7363*s[47])/198 - (5839*s[48])/99 - (5132*s[49])/99 - 
       (13889*s[50])/33 + (4823*s[51])/198 + (17*s[52])/198 + 
       (79801*s[53])/198 - (13190*s[54])/33 + (68597*s[55])/22 + 
       (27488*s[56])/33 + (25794*s[57])/11 + (96803*s[58])/297 - 
       (245407*s[59])/594 - (6234017*s[60])/1188 + (1152511*s[61])/2673 - 
       24*s[76] + (92*s[80])/3 - 87*s[82]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1, 1}, 1 - w]*(36*s[2] + (149*s[4])/2 - (1909*s[5])/11 - 
       (1877*s[6])/22 - (45203*s[7])/66 - (13709*s[8])/594 + 
       (18697*s[9])/27 + (8924*s[10])/27 + (235465*s[11])/396 + 
       (37229*s[12])/99 + (36877*s[13])/396 + (325549*s[14])/396 + 
       (11945*s[15])/9 + (491671*s[16])/396 + (661009*s[17])/396 + 
       (46207*s[18])/162 + (5572*s[19])/81 + (3778019*s[20])/1782 + 
       (4048897*s[21])/3564 - (1151135*s[22])/3564 + (131401*s[23])/396 - 
       (2811683*s[24])/3564 + (5784503*s[25])/16038 - (5520589*s[26])/8019 + 
       4*s[27] + 24*s[31] + 54*s[33] - 32*s[34] + (52*s[36])/3 + 
       (22*s[37])/3 + 5*s[38] - 28*s[39] + (80*s[40])/3 - (59*s[41])/2 + 
       (437*s[42])/6 - (601*s[43])/66 + (2407*s[44])/66 - (5921*s[45])/33 + 
       (20653*s[46])/33 + (7363*s[47])/198 - (5839*s[48])/99 - 
       (5132*s[49])/99 - (13889*s[50])/33 + (4823*s[51])/198 + 
       (17*s[52])/198 + (79801*s[53])/198 - (13190*s[54])/33 + 
       (68597*s[55])/22 + (27488*s[56])/33 + (25794*s[57])/11 + 
       (96803*s[58])/297 - (245407*s[59])/594 - (6234017*s[60])/1188 + 
       (1152511*s[61])/2673 - 24*s[76] + (92*s[80])/3 - 87*s[82]) + 
     HPL[{1}, 1 - u]^2*Qep[v, u, w]*((16*s[5])/11 + (992*s[6])/11 + 
       (7100*s[7])/99 - (920*s[8])/297 - (856*s[9])/27 + (2152*s[10])/27 - 
       (7780*s[11])/99 - (17672*s[12])/99 - (24284*s[13])/99 - 
       (17236*s[14])/99 + (644*s[15])/3 + (2872*s[16])/99 + (6476*s[17])/33 - 
       (10496*s[18])/81 + (16088*s[19])/81 - (30760*s[20])/891 - 
       (117748*s[21])/891 + (15764*s[22])/891 + (2416*s[23])/99 - 
       (158968*s[24])/891 - (357352*s[25])/8019 + (1039624*s[26])/8019 + 
       (512*s[37])/9 + (992*s[43])/33 + (216*s[44])/11 + (32*s[45])/11 - 
       (1600*s[46])/33 + (4424*s[47])/99 + (17096*s[48])/99 + 
       (8728*s[49])/99 - (6464*s[50])/33 - (488*s[51])/11 + 
       (10552*s[52])/99 + (14672*s[53])/99 + (16576*s[54])/33 + 
       (42008*s[55])/99 - (22760*s[56])/33 + (43408*s[57])/99 - 
       (34264*s[58])/99 + (376*s[59])/33 - (184244*s[60])/297 - 
       (415528*s[61])/2673 - 64*s[82]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u]*((-21*s[3])/8 + (469*s[4])/16 - (173*s[5])/8 + 
       (1039*s[6])/16 + (1567*s[7])/96 - (4937*s[8])/432 - (233*s[9])/108 + 
       (11249*s[10])/108 - (24809*s[11])/288 - (14689*s[12])/72 - 
       (71399*s[13])/288 + (28519*s[14])/288 + (86983*s[15])/288 + 
       (17579*s[16])/144 + (106033*s[17])/288 - (16093*s[18])/324 + 
       (150517*s[19])/1296 + (309089*s[20])/1296 + (122257*s[21])/2592 + 
       (24919*s[22])/2592 + (60545*s[23])/144 - (230965*s[24])/1296 - 
       (1865917*s[25])/11664 + (867223*s[26])/11664 - (7*s[36])/4 + 
       (161*s[37])/12 + (147*s[38])/4 - (1555*s[39])/16 + (1695*s[40])/16 - 
       (1401*s[41])/16 + (2093*s[42])/16 + (16989*s[43])/176 - 
       (20091*s[44])/352 + (279*s[45])/11 - (62267*s[46])/176 + 
       (61225*s[47])/1056 + (67627*s[48])/1056 - (307579*s[49])/1056 + 
       (3403*s[50])/22 + (104815*s[51])/1056 + (124865*s[52])/1056 - 
       (25261*s[53])/528 + (11315*s[54])/88 - (374203*s[55])/1056 - 
       (139155*s[56])/352 + (110189*s[57])/66 - (1015603*s[58])/1056 + 
       (833357*s[59])/1056 + (15499357*s[60])/6336 - (3027611*s[61])/28512 - 
       (7*s[71])/4 + 14*s[79] + 7*s[80] - 63*s[82]) + 
     HPL[{1}, 1 - u]^2*Qep[w, v, u]*((4720*s[5])/99 + (10336*s[6])/99 + 
       (135238*s[7])/297 - (2548*s[8])/297 - (10292*s[9])/27 - 
       (2860*s[10])/27 - (4426*s[11])/11 - (3968*s[12])/11 - 
       (89462*s[13])/297 - (32614*s[14])/99 - (19610*s[15])/27 - 
       (237476*s[16])/297 - (250354*s[17])/297 - (1264*s[18])/9 + 
       (644*s[19])/27 - (100604*s[20])/99 - (506686*s[21])/891 + 
       (183118*s[22])/891 + (43900*s[23])/297 + (328288*s[24])/891 - 
       (3069028*s[25])/8019 + (3518452*s[26])/8019 + (128*s[37])/3 + 
       (8080*s[43])/99 + (3616*s[44])/99 + (9440*s[45])/99 - 
       (15152*s[46])/33 + (2360*s[47])/297 + (41960*s[48])/297 - 
       (38936*s[49])/297 + (18448*s[50])/99 - (32536*s[51])/297 + 
       (18016*s[52])/297 - (78040*s[53])/297 + (34592*s[54])/99 - 
       (223400*s[55])/99 - (89752*s[56])/99 - (348496*s[57])/297 - 
       (353960*s[58])/891 + (491864*s[59])/891 + (3144412*s[60])/891 - 
       (754856*s[61])/2673 - (160*s[82])/3) + HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 1, 1}, 1 - u]*((-3*s[2])/2 + (415*s[4])/4 - (689*s[5])/264 + 
       (26329*s[6])/264 + (645067*s[7])/792 - (10469*s[8])/88 - 
       (15319*s[9])/24 - (3271*s[10])/24 - (40251*s[11])/44 - 
       (142165*s[12])/132 - (65323*s[13])/99 + (21419*s[14])/132 - 
       (37283*s[15])/36 - (1052633*s[16])/792 - (670591*s[17])/792 - 
       (26699*s[18])/216 - (3164*s[19])/27 - (792631*s[20])/594 - 
       (1003997*s[21])/2376 + (82405*s[22])/198 + (298759*s[23])/198 + 
       (163795*s[24])/198 - (55029385*s[25])/42768 + (26281873*s[26])/42768 - 
       s[27]/6 - s[31] - s[33]/4 - (2*s[34])/3 - s[36]/6 - (47*s[37])/4 + 
       (131*s[38])/6 - (2749*s[39])/24 + (2753*s[40])/24 - (2557*s[41])/24 + 
       (1411*s[42])/8 + (20431*s[43])/264 - (10631*s[44])/176 + 
       (22973*s[45])/264 - (52291*s[46])/66 + (99371*s[47])/1584 - 
       (95131*s[48])/1584 - (449561*s[49])/1584 + (18536*s[50])/33 + 
       (198593*s[51])/1584 + (184471*s[52])/1584 - (18545*s[53])/44 + 
       (1572*s[54])/11 - (4124641*s[55])/1584 - (1380391*s[56])/1584 + 
       (416368*s[57])/297 - (21004343*s[58])/14256 + (20725019*s[59])/14256 + 
       (52760525*s[60])/9504 - (26254807*s[61])/64152 - s[71] + s[76] + 
       (9*s[80])/2 - 53*s[82]) + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1}, 
       1 - w]*((41*s[3])/2 + (445*s[4])/4 + (3777*s[5])/22 + (5941*s[6])/44 + 
       (1795535*s[7])/792 - (180959*s[8])/1188 - (52447*s[9])/27 - 
       (20309*s[10])/27 - (1821251*s[11])/792 - (435673*s[12])/198 - 
       (111333*s[13])/88 - (226115*s[14])/792 - (86419*s[15])/24 - 
       (527833*s[16])/132 - (2929573*s[17])/792 - (35921*s[18])/81 - 
       (144331*s[19])/324 - (16061905*s[20])/3564 - (12593981*s[21])/7128 + 
       (8330785*s[22])/7128 + (123575*s[23])/44 + (8627159*s[24])/3564 - 
       (91898953*s[25])/32076 + (53609695*s[26])/32076 + 2*s[30] - 10*s[35] + 
       (5*s[36])/3 + (131*s[37])/6 + 52*s[38] - (1133*s[39])/4 + 
       (3619*s[40])/12 - (1049*s[41])/4 + (4907*s[42])/12 + 
       (29657*s[43])/132 - (55771*s[44])/264 + (51121*s[45])/132 - 
       (54301*s[46])/22 + (127085*s[47])/792 - (109393*s[48])/792 - 
       (826535*s[49])/792 + (67832*s[50])/33 + (254911*s[51])/792 + 
       (140737*s[52])/792 - (105371*s[53])/66 - (699*s[54])/11 - 
       (2584597*s[55])/264 - (1632601*s[56])/792 + (196469*s[57])/297 - 
       (23768285*s[58])/7128 + (26699045*s[59])/7128 + 
       (93253535*s[60])/4752 - (8918368*s[61])/8019 - 5*s[62] - 12*s[76] + 
       32*s[79] + (23*s[80])/3 - 48*s[82]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - v]*(18*s[2] + 151*s[4] + (5717*s[5])/44 + 
       (7921*s[6])/44 + (99205*s[7])/44 - (74473*s[8])/396 - 
       (71909*s[9])/36 - (21133*s[10])/36 - (77051*s[11])/33 - 
       (315679*s[12])/132 - (170723*s[13])/132 - (50939*s[14])/132 - 
       (20147*s[15])/6 - (127187*s[16])/33 - (435629*s[17])/132 - 
       (48763*s[18])/108 - (15445*s[19])/54 - (1409366*s[20])/297 - 
       (505958*s[21])/297 + (1419871*s[22])/1188 + (148727*s[23])/66 + 
       (1410611*s[24])/594 - (62802379*s[25])/21384 + 
       (35547535*s[26])/21384 + 4*s[27] + 12*s[31] + (33*s[33])/2 - 
       10*s[34] - 10*s[35] + (5*s[36])/3 + (131*s[37])/6 + 52*s[38] - 
       (1133*s[39])/4 + (3619*s[40])/12 - (1049*s[41])/4 + (4907*s[42])/12 + 
       (29657*s[43])/132 - (55771*s[44])/264 + (51121*s[45])/132 - 
       (54301*s[46])/22 + (127085*s[47])/792 - (109393*s[48])/792 - 
       (826535*s[49])/792 + (67832*s[50])/33 + (254911*s[51])/792 + 
       (140737*s[52])/792 - (105371*s[53])/66 - (699*s[54])/11 - 
       (2584597*s[55])/264 - (1632601*s[56])/792 + (196469*s[57])/297 - 
       (23768285*s[58])/7128 + (26699045*s[59])/7128 + 
       (93253535*s[60])/4752 - (8918368*s[61])/8019 - 5*s[62] - 12*s[76] + 
       32*s[79] + (23*s[80])/3 - 48*s[82]) + HPL[{0, 1, 1}, 1 - u]*
      Omega2[v, w, u]*((107*s[5])/11 + (12*s[6])/11 + (10391*s[7])/132 - 
       (277*s[8])/66 - (425*s[9])/6 - (199*s[10])/6 - (2175*s[11])/44 - 
       (459*s[12])/22 + (2441*s[13])/132 - (1079*s[14])/44 - 
       (1957*s[15])/12 - (8279*s[16])/66 - (22259*s[17])/132 - 
       (107*s[18])/3 + (7*s[19])/2 - (12521*s[20])/66 - (33095*s[21])/396 + 
       (13331*s[22])/396 + (5327*s[23])/33 + (8017*s[24])/198 - 
       (84565*s[25])/1782 + (95671*s[26])/1782 + 8*s[42] - (62*s[43])/11 + 
       (227*s[44])/22 + (214*s[45])/11 - (824*s[46])/11 + (503*s[47])/66 - 
       (3853*s[48])/66 + (3661*s[49])/66 + (800*s[50])/11 + (725*s[51])/66 + 
       (1585*s[52])/66 - (2501*s[53])/33 + (262*s[54])/11 - 
       (30551*s[55])/66 - (1555*s[56])/22 - (985*s[57])/11 - 
       (15619*s[58])/198 + (20521*s[59])/198 + (140705*s[60])/396 - 
       (105755*s[61])/1782 - 42*s[82]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1}, 1 - w]*(90*s[4] - (1344*s[5])/11 + (701*s[6])/11 - 
       (12988*s[7])/33 - (4567*s[8])/99 + (3985*s[9])/9 + (2900*s[10])/9 + 
       (11663*s[11])/66 - (8387*s[12])/66 - (3429*s[13])/11 + 
       (20806*s[14])/33 + (3559*s[15])/3 + (9590*s[16])/11 + 
       (93949*s[17])/66 + (5120*s[18])/27 + (1150*s[19])/27 + 
       (488116*s[20])/297 + (238735*s[21])/297 - (58427*s[22])/297 + 
       (11533*s[23])/22 - (246217*s[24])/594 - (632065*s[25])/5346 - 
       (1569857*s[26])/5346 + 31*s[38] - 99*s[39] + 107*s[40] - 90*s[41] + 
       166*s[42] + (717*s[43])/11 - (937*s[44])/22 - (1598*s[45])/11 + 
       (2404*s[46])/11 + (3403*s[47])/66 + (7165*s[48])/66 - 
       (14983*s[49])/66 - (3780*s[50])/11 + (7111*s[51])/66 + 
       (7343*s[52])/66 + (13286*s[53])/33 + (230*s[54])/11 + 
       (63869*s[55])/22 + (3045*s[56])/22 + (42039*s[57])/11 - 
       (140783*s[58])/198 + (61559*s[59])/198 - (1147199*s[60])/396 + 
       (283871*s[61])/1782 - 42*s[82]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1}, 1 - v]*((-243*s[5])/11 + (675*s[6])/11 - 
       (3629*s[7])/22 + (1528*s[8])/99 + (1205*s[9])/9 + (1279*s[10])/9 + 
       (713*s[11])/33 - (10645*s[12])/66 - (6833*s[13])/66 + 
       (2425*s[14])/66 + (4409*s[15])/6 + (13010*s[16])/33 + 
       (25778*s[17])/33 - (4742*s[18])/27 + (8579*s[19])/27 + 
       (105425*s[20])/297 - (2957*s[21])/594 - (32687*s[22])/594 + 
       (56575*s[23])/66 - (279677*s[24])/594 + (597259*s[25])/5346 + 
       (105461*s[26])/5346 + 31*s[38] - 99*s[39] + 107*s[40] - 90*s[41] + 
       166*s[42] + (717*s[43])/11 - (937*s[44])/22 - (1598*s[45])/11 + 
       (2404*s[46])/11 + (3403*s[47])/66 + (7165*s[48])/66 - 
       (14983*s[49])/66 - (3780*s[50])/11 + (7111*s[51])/66 + 
       (7343*s[52])/66 + (13286*s[53])/33 + (230*s[54])/11 + 
       (63869*s[55])/22 + (3045*s[56])/22 + (42039*s[57])/11 - 
       (140783*s[58])/198 + (61559*s[59])/198 - (1147199*s[60])/396 + 
       (283871*s[61])/1782 - 42*s[82]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1, 1}, 1 - u]*((-774*s[5])/11 - (259*s[6])/11 - 
       (21565*s[7])/33 + (365*s[8])/11 + 576*s[9] + 275*s[10] + 
       (12927*s[11])/22 + (5040*s[12])/11 + (12499*s[13])/66 + 
       (6295*s[14])/22 + 1337*s[15] + (84907*s[16])/66 + (95729*s[17])/66 + 
       (620*s[18])/9 + (1855*s[19])/9 + (159175*s[20])/99 + 
       (124783*s[21])/198 - (21691*s[22])/66 - (10343*s[23])/66 - 
       (58505*s[24])/66 + (583904*s[25])/891 - (421895*s[26])/891 - 
       40*s[37] - (442*s[43])/11 + (639*s[44])/11 - (1548*s[45])/11 + 
       (7298*s[46])/11 + (691*s[47])/33 + (691*s[48])/33 + (7673*s[49])/33 - 
       (6780*s[50])/11 + (595*s[51])/11 + (1229*s[52])/33 + 
       (19087*s[53])/33 + (1442*s[54])/11 + (127271*s[55])/33 + 
       (6425*s[56])/11 + (22058*s[57])/11 + (26155*s[58])/99 - 
       (68515*s[59])/99 - (1275275*s[60])/198 + (280778*s[61])/891 - 
       39*s[82]) + HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - u]*
      ((-774*s[5])/11 - (259*s[6])/11 - (21532*s[7])/33 + (1073*s[8])/33 + 
       (1726*s[9])/3 + (827*s[10])/3 + (12905*s[11])/22 + (5018*s[12])/11 + 
       (13093*s[13])/66 + (6273*s[14])/22 + 1316*s[15] + (84907*s[16])/66 + 
       (95795*s[17])/66 + (556*s[18])/9 + (1925*s[19])/9 + 
       (157349*s[20])/99 + (13305*s[21])/22 - (64963*s[22])/198 - 
       (10739*s[23])/66 - (175339*s[24])/198 + (65900*s[25])/99 - 
       (45479*s[26])/99 - 40*s[37] - (442*s[43])/11 + (639*s[44])/11 - 
       (1548*s[45])/11 + (7298*s[46])/11 + (691*s[47])/33 + (691*s[48])/33 + 
       (7673*s[49])/33 - (6780*s[50])/11 + (595*s[51])/11 + (1229*s[52])/33 + 
       (19087*s[53])/33 + (1442*s[54])/11 + (127271*s[55])/33 + 
       (6425*s[56])/11 + (22058*s[57])/11 + (26155*s[58])/99 - 
       (68515*s[59])/99 - (1275275*s[60])/198 + (280778*s[61])/891 - 
       39*s[82]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - v]*
      (194*s[3] + 269*s[4] + (2439*s[5])/11 + (7646*s[6])/11 + 
       (132725*s[7])/33 - (30451*s[8])/99 - (29630*s[9])/9 - (7414*s[10])/9 - 
       (290467*s[11])/66 - (160084*s[12])/33 - (64451*s[13])/22 - 
       (45283*s[14])/66 - 5247*s[15] - (146163*s[16])/22 - 
       (342323*s[17])/66 - (23968*s[18])/27 - (10883*s[19])/27 - 
       (2346605*s[20])/297 - (1809439*s[21])/594 + (1195121*s[22])/594 + 
       (108517*s[23])/22 + (2398775*s[24])/594 - (15150323*s[25])/2673 + 
       (8781284*s[26])/2673 + 88*s[30] - 60*s[36] + 2*s[37] + 119*s[38] - 
       550*s[39] + 594*s[40] - 472*s[41] + 802*s[42] + (4305*s[43])/11 - 
       (4061*s[44])/11 + (7991*s[45])/11 - (49444*s[46])/11 + 
       (3107*s[47])/11 - (2338*s[48])/11 - (16757*s[49])/11 + 
       (33866*s[50])/11 + (6246*s[51])/11 + (6195*s[52])/11 - 
       (25349*s[53])/11 + (12846*s[54])/11 - (494419*s[55])/33 - 
       (52989*s[56])/11 + (137207*s[57])/33 - (727699*s[58])/99 + 
       (716224*s[59])/99 + (739001*s[60])/22 - (4231679*s[61])/1782 + 
       24*s[76] - 52*s[80] - 36*s[82]) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1}, 1 - w]*(-36*s[2] + 203*s[4] + (3803*s[5])/11 + 
       (4808*s[6])/11 + (135574*s[7])/33 - (38756*s[8])/99 - (32455*s[9])/9 - 
       (9071*s[10])/9 - (291941*s[11])/66 - (157301*s[12])/33 - 
       (56927*s[13])/22 - (55667*s[14])/66 - 5561*s[15] - (149771*s[16])/22 - 
       (368305*s[17])/66 - (30407*s[18])/27 - (9253*s[19])/27 - 
       (2572501*s[20])/297 - (2095703*s[21])/594 + (1252981*s[22])/594 + 
       (123433*s[23])/22 + (2452147*s[24])/594 - (28575857*s[25])/5346 + 
       (18123689*s[26])/5346 - 4*s[27] - 24*s[31] - 102*s[33] + 64*s[34] - 
       60*s[36] + 2*s[37] + 119*s[38] - 550*s[39] + 594*s[40] - 472*s[41] + 
       802*s[42] + (4305*s[43])/11 - (4061*s[44])/11 + (7991*s[45])/11 - 
       (49444*s[46])/11 + (3107*s[47])/11 - (2338*s[48])/11 - 
       (16757*s[49])/11 + (33866*s[50])/11 + (6246*s[51])/11 + 
       (6195*s[52])/11 - (25349*s[53])/11 + (12846*s[54])/11 - 
       (494419*s[55])/33 - (52989*s[56])/11 + (137207*s[57])/33 - 
       (727699*s[58])/99 + (716224*s[59])/99 + (739001*s[60])/22 - 
       (4231679*s[61])/1782 + 24*s[76] - 52*s[80] - 36*s[82]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1}, 1 - w]*
      ((-13*s[3])/2 + (263*s[4])/4 + (1967*s[5])/22 + (653*s[6])/11 + 
       (344345*s[7])/264 - (8515*s[8])/99 - (40349*s[9])/36 - 
       (8243*s[10])/18 - (88411*s[11])/66 - (339041*s[12])/264 - 
       (199361*s[13])/264 - (32485*s[14])/264 - (16961*s[15])/8 - 
       (308749*s[16])/132 - (23773*s[17])/11 - (15871*s[18])/108 - 
       (20587*s[19])/54 - (1537369*s[20])/594 - (2254189*s[21])/2376 + 
       (1617185*s[22])/2376 + (288241*s[23])/264 + (3813593*s[24])/2376 - 
       (36590509*s[25])/21384 + (20106883*s[26])/21384 - 2*s[30] + 2*s[35] - 
       11*s[36] + 2*s[37] + (77*s[38])/2 - (591*s[39])/4 + (619*s[40])/4 - 
       (577*s[41])/4 + (807*s[42])/4 + (7027*s[43])/44 - (10547*s[44])/88 + 
       (10145*s[45])/44 - (31639*s[46])/22 + (13427*s[47])/264 - 
       (8551*s[48])/264 - (192917*s[49])/264 + (27531*s[50])/22 + 
       (40541*s[51])/264 + (19453*s[52])/264 - (63601*s[53])/66 - 
       (1999*s[54])/11 - (526683*s[55])/88 - (91617*s[56])/88 - 
       (39425*s[57])/66 - (144493*s[58])/88 + (539615*s[59])/264 + 
       (19820381*s[60])/1584 - (511766*s[61])/891 + s[62] + 3*s[76] + 
       8*s[80] - 36*s[82]) + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 1 - v]*
      ((-9*s[2])/2 + (157*s[4])/2 + (3989*s[5])/44 + (818*s[6])/11 + 
       (58753*s[7])/44 - (18889*s[8])/198 - (21347*s[9])/18 - 
       (14861*s[10])/36 - (361487*s[11])/264 - (357499*s[12])/264 - 
       (23497*s[13])/33 - (34453*s[14])/132 - (12769*s[15])/6 - 
       (78169*s[16])/33 - (563831*s[17])/264 - (12025*s[18])/54 - 
       (30307*s[19])/108 - (3432733*s[20])/1188 - (1253479*s[21])/1188 + 
       (209261*s[22])/297 + (281707*s[23])/264 + (3712459*s[24])/2376 - 
       (4514965*s[25])/2673 + (10555003*s[26])/10692 - 3*s[31] - 3*s[33] + 
       s[34] + 2*s[35] - 11*s[36] + 2*s[37] + (77*s[38])/2 - (591*s[39])/4 + 
       (619*s[40])/4 - (577*s[41])/4 + (807*s[42])/4 + (7027*s[43])/44 - 
       (10547*s[44])/88 + (10145*s[45])/44 - (31639*s[46])/22 + 
       (13427*s[47])/264 - (8551*s[48])/264 - (192917*s[49])/264 + 
       (27531*s[50])/22 + (40541*s[51])/264 + (19453*s[52])/264 - 
       (63601*s[53])/66 - (1999*s[54])/11 - (526683*s[55])/88 - 
       (91617*s[56])/88 - (39425*s[57])/66 - (144493*s[58])/88 + 
       (539615*s[59])/264 + (19820381*s[60])/1584 - (511766*s[61])/891 + 
       s[62] + 3*s[76] + 8*s[80] - 36*s[82]) + HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 1, 1}, 1 - v]*((79*s[3])/12 + (335*s[4])/24 - (15*s[5])/11 + 
       (3041*s[6])/132 + (131111*s[7])/1584 - (593*s[8])/66 - 
       (1475*s[9])/24 + (37*s[10])/12 - (8715*s[11])/88 - (64375*s[12])/528 - 
       (146371*s[13])/1584 + (11171*s[14])/528 - (11585*s[15])/144 - 
       (86825*s[16])/792 - (48877*s[17])/792 - (2135*s[18])/216 - 
       (661*s[19])/54 - (115253*s[20])/1188 - (119869*s[21])/4752 + 
       (58775*s[22])/1584 + (263213*s[23])/1584 + (118621*s[24])/1584 - 
       (6451789*s[25])/42768 + (2773723*s[26])/42768 + (5*s[30])/3 - 
       (5*s[36])/6 - (19*s[37])/12 + (52*s[38])/3 - (737*s[39])/24 + 
       (805*s[40])/24 - (569*s[41])/24 + (279*s[42])/8 + (3309*s[43])/88 - 
       (4255*s[44])/176 + (13253*s[45])/264 - (18259*s[46])/66 + 
       (11329*s[47])/1584 + (19975*s[48])/1584 - (218479*s[49])/1584 + 
       (26779*s[50])/132 + (50387*s[51])/1584 + (46391*s[52])/1584 - 
       (29165*s[53])/198 + (241*s[54])/33 - (1561367*s[55])/1584 - 
       (363697*s[56])/1584 + (22336*s[57])/297 - (5566109*s[58])/14256 + 
       (5949653*s[59])/14256 + (22626631*s[60])/9504 - 
       (7176175*s[61])/64152 - s[71] - s[76] + (35*s[80])/6 - 30*s[82]) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 1}, 1 - w]*((3*s[2])/2 + (39*s[4])/4 + 
       (7673*s[5])/264 + (329*s[6])/11 + (331927*s[7])/792 - 
       (3016*s[8])/297 - (20539*s[9])/54 - (29471*s[10])/216 - 
       (704471*s[11])/1584 - (718351*s[12])/1584 - (34781*s[13])/132 - 
       (88741*s[14])/792 - 615*s[15] - (23476*s[16])/33 - 
       (957247*s[17])/1584 - (24247*s[18])/324 - (48019*s[19])/648 - 
       (6616429*s[20])/7128 - (2518621*s[21])/7128 + (403457*s[22])/1782 + 
       (155701*s[23])/528 + (7000291*s[24])/14256 - (34076227*s[25])/64152 + 
       (5190985*s[26])/16038 - s[27]/6 + s[31] + (7*s[33])/4 - (4*s[34])/3 - 
       (5*s[36])/6 - (19*s[37])/12 + (52*s[38])/3 - (737*s[39])/24 + 
       (805*s[40])/24 - (569*s[41])/24 + (279*s[42])/8 + (3309*s[43])/88 - 
       (4255*s[44])/176 + (13253*s[45])/264 - (18259*s[46])/66 + 
       (11329*s[47])/1584 + (19975*s[48])/1584 - (218479*s[49])/1584 + 
       (26779*s[50])/132 + (50387*s[51])/1584 + (46391*s[52])/1584 - 
       (29165*s[53])/198 + (241*s[54])/33 - (1561367*s[55])/1584 - 
       (363697*s[56])/1584 + (22336*s[57])/297 - (5566109*s[58])/14256 + 
       (5949653*s[59])/14256 + (22626631*s[60])/9504 - 
       (7176175*s[61])/64152 - s[71] - s[76] + (35*s[80])/6 - 30*s[82]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 1}, 1 - w]*(-s[3]/4 - (67*s[4])/24 + 
       (1547*s[5])/66 + (505*s[6])/11 + (98059*s[7])/528 - (2221*s[8])/396 - 
       (12823*s[9])/72 - (1951*s[10])/36 - (8253*s[11])/44 - 
       (89293*s[12])/528 - (57493*s[13])/528 - (59905*s[14])/528 - 
       (33695*s[15])/144 - (6583*s[16])/22 - (11581*s[17])/44 - 
       (24455*s[18])/216 + (4067*s[19])/54 - (514889*s[20])/1188 - 
       (1249769*s[21])/4752 + (475597*s[22])/4752 + (167603*s[23])/528 + 
       (341719*s[24])/4752 - (7194479*s[25])/42768 + (8565989*s[26])/42768 - 
       s[30]/3 + s[36]/6 - (25*s[37])/4 + s[38]/2 - (1099*s[39])/24 + 
       (1079*s[40])/24 - (1111*s[41])/24 + (2011*s[42])/24 + 
       (1697*s[43])/264 - (1827*s[44])/176 + (543*s[45])/88 - 
       (23629*s[46])/132 + (23135*s[47])/528 - (38135*s[48])/528 - 
       (10357*s[49])/528 + (16283*s[50])/132 + (106207*s[51])/1584 + 
       (32189*s[52])/528 - (4865*s[53])/66 + (1401*s[54])/22 - 
       (578911*s[55])/1584 - (43913*s[56])/176 + (418403*s[57])/396 - 
       (2615659*s[58])/4752 + (2191507*s[59])/4752 + (695303*s[60])/1056 - 
       (2673395*s[61])/21384 + s[76] - (5*s[80])/6 - 29*s[82]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - u]*
      (-4*s[4] - (1218*s[5])/11 - (1663*s[6])/22 - (35122*s[7])/33 + 
       (13129*s[8])/198 + (16649*s[9])/18 + (3491*s[10])/9 + 
       (128603*s[11])/132 + (111907*s[12])/132 + (13357*s[13])/33 + 
       (33491*s[14])/66 + (17449*s[15])/9 + (129169*s[16])/66 + 
       (90939*s[17])/44 + (10909*s[18])/54 + (10235*s[19])/54 + 
       (1505861*s[20])/594 + (294544*s[21])/297 - (158105*s[22])/297 - 
       (54979*s[23])/132 - (1502687*s[24])/1188 + (11685007*s[25])/10692 - 
       (8240113*s[26])/10692 - (40*s[37])/3 + 8*s[39] - 8*s[40] + 8*s[41] - 
       (56*s[42])/3 - (914*s[43])/33 + (4687*s[44])/66 - (7154*s[45])/33 + 
       (11736*s[46])/11 - (356*s[47])/33 + (238*s[48])/33 + (5204*s[49])/33 - 
       (10073*s[50])/11 + (1976*s[51])/99 - (2113*s[52])/66 + 
       (27031*s[53])/33 - (4394*s[54])/33 + (553900*s[55])/99 + 
       (42554*s[56])/33 + (237203*s[57])/99 + (230135*s[58])/297 - 
       (320351*s[59])/297 - (307190*s[60])/33 + (3422455*s[61])/5346 - 
       24*s[82]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((233*s[4])/4 + (7375*s[5])/264 + (5359*s[6])/264 + (641749*s[7])/792 - 
       (147637*s[8])/2376 - (38717*s[9])/54 - (53527*s[10])/216 - 
       (708137*s[11])/792 - (380975*s[12])/396 - (406027*s[13])/792 + 
       (10135*s[14])/792 - (14041*s[15])/12 - (541649*s[16])/396 - 
       (34624*s[17])/33 - (60283*s[18])/648 - (33701*s[19])/162 - 
       (5858707*s[20])/3564 - (1722553*s[21])/3564 + (3195097*s[22])/7128 + 
       (190043*s[23])/198 + (7121515*s[24])/7128 - (152768455*s[25])/128304 + 
       (71232163*s[26])/128304 + (21*s[33])/8 - (7*s[34])/2 - (7*s[36])/4 - 
       (53*s[37])/4 + (147*s[38])/4 - (1555*s[39])/16 + (1695*s[40])/16 - 
       (1401*s[41])/16 + (2093*s[42])/16 + (33287*s[43])/528 - 
       (94073*s[44])/1056 + (2632*s[45])/33 - (105467*s[46])/176 + 
       (108275*s[47])/3168 - (236839*s[48])/3168 - (1038857*s[49])/3168 + 
       (36589*s[50])/66 + (494645*s[51])/3168 + (202315*s[52])/3168 - 
       (568943*s[53])/1584 - (40615*s[54])/264 - (2124643*s[55])/1056 - 
       (276145*s[56])/1056 + (83521*s[57])/99 - (9075107*s[58])/9504 + 
       (9502973*s[59])/9504 + (99411071*s[60])/19008 - 
       (5594051*s[61])/28512 - (7*s[71])/4 + 14*s[79] + 7*s[80] - 23*s[82]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 0, 1, 1}, 1 - w]*((-1583*s[5])/66 + 
       (727*s[6])/44 - (9541*s[7])/44 + (6355*s[8])/396 + (3577*s[9])/18 + 
       (4183*s[10])/36 + (17189*s[11])/88 + (5947*s[12])/44 - (35*s[13])/88 + 
       (14953*s[14])/264 + (18161*s[15])/36 + (115229*s[16])/264 + 
       (136265*s[17])/264 - (149*s[18])/108 + (6079*s[19])/54 + 
       (668561*s[20])/1188 + (379495*s[21])/2376 - (274787*s[22])/2376 - 
       (17627*s[23])/264 - (848975*s[24])/2376 + (2578949*s[25])/10692 - 
       (1261529*s[26])/10692 + (73*s[37])/6 + (255*s[43])/22 + 
       (554*s[44])/33 - (1583*s[45])/33 + (14615*s[46])/66 + (147*s[47])/11 + 
       (1537*s[48])/22 + (1306*s[49])/33 - (9388*s[50])/33 - 
       (2276*s[51])/99 + (1697*s[52])/66 + (10357*s[53])/44 + 
       (4426*s[54])/33 + (135601*s[55])/99 + (1390*s[56])/33 + 
       (14979*s[57])/22 + (1744*s[58])/33 - (6806*s[59])/33 - 
       (903473*s[60])/396 + (353545*s[61])/3564 - 19*s[82]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((-919*s[5])/33 + (266*s[6])/33 - (50659*s[7])/198 + (9965*s[8])/594 + 
       (24797*s[9])/108 + (13309*s[10])/108 + (22604*s[11])/99 + 
       (135581*s[12])/792 + (6331*s[13])/264 + (65977*s[14])/792 + 
       (4919*s[15])/9 + (44523*s[16])/88 + (113195*s[17])/198 + 
       (1969*s[18])/81 + (31187*s[19])/324 + (1167673*s[20])/1782 + 
       (1570309*s[21])/7128 - (947585*s[22])/7128 - (16943*s[23])/132 - 
       (1275793*s[24])/3564 + (16910185*s[25])/64152 - 
       (10203691*s[26])/64152 + (3*s[35])/2 - s[36] + (110*s[37])/9 + s[39] - 
       s[40] + s[41] - 2*s[42] - (127*s[43])/66 + (1799*s[44])/132 - 
       (1805*s[45])/33 + (17065*s[46])/66 + (494*s[47])/33 + 
       (1451*s[48])/33 + (2093*s[49])/33 - (6197*s[50])/22 - (815*s[51])/99 + 
       (2359*s[52])/132 + (32531*s[53])/132 + (2834*s[54])/33 + 
       (300523*s[55])/198 + (8803*s[56])/66 + (75743*s[57])/99 + 
       (28403*s[58])/297 - (155869*s[59])/594 - (334877*s[60])/132 + 
       (1249607*s[61])/10692 - 15*s[82]) + HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 0, 1}, 1 - u]*(-2*s[4] + (36*s[5])/11 + (65*s[6])/11 + 
       (343*s[7])/66 + (586*s[8])/99 - (76*s[9])/9 - (59*s[10])/9 - 
       (16*s[11])/33 + (305*s[12])/22 + (255*s[13])/22 - (1379*s[14])/66 - 
       (253*s[15])/9 - (829*s[16])/66 - (1225*s[17])/33 - (101*s[18])/27 - 
       (22*s[19])/27 - (9529*s[20])/297 - (13679*s[21])/594 + 
       (733*s[22])/594 - (221*s[23])/11 + (1532*s[24])/297 + 
       (54595*s[25])/5346 + (52073*s[26])/5346 + (5*s[37])/3 - s[38]/3 + 
       (8*s[39])/3 - (8*s[40])/3 + 2*s[41] - (13*s[42])/3 + (76*s[43])/33 + 
       (37*s[44])/22 + (245*s[45])/66 - (100*s[46])/11 - (349*s[47])/66 + 
       (245*s[48])/66 + (541*s[49])/66 + (31*s[50])/33 - (283*s[51])/198 + 
       (43*s[52])/66 - (293*s[53])/33 + (222*s[54])/11 - (4055*s[55])/66 - 
       (1165*s[56])/66 - (9109*s[57])/99 + (9193*s[58])/594 - 
       (1129*s[59])/594 + (13735*s[60])/396 - (31523*s[61])/5346 - 
       12*s[82]) + HPL[{1}, 1 - w]^3*Omega2[w, u, v]*
      (-9*s[4] + (45*s[5])/44 + (75*s[6])/22 - (4651*s[7])/66 + 
       (1609*s[8])/99 + (943*s[9])/18 + (625*s[10])/36 + (20365*s[11])/264 + 
       (25121*s[12])/264 + (6293*s[13])/132 - (4375*s[14])/132 + 
       (1223*s[15])/12 + (5721*s[16])/44 + (7121*s[17])/88 + (250*s[18])/27 + 
       (1847*s[19])/108 + (35120*s[20])/297 + (18001*s[21])/594 - 
       (22103*s[22])/594 - (14715*s[23])/88 - (178055*s[24])/2376 + 
       (603121*s[25])/5346 - (122150*s[26])/2673 - s[37]/3 - 2*s[38] + 
       11*s[39] - 11*s[40] + 9*s[41] - 18*s[42] - (15*s[43])/11 + 
       (643*s[44])/88 - (197*s[45])/22 + (1725*s[46])/22 - (1979*s[47])/264 + 
       (3917*s[48])/264 + (2969*s[49])/88 - (2521*s[50])/33 - 
       (3065*s[51])/264 - (313*s[52])/88 + (1165*s[53])/22 + (809*s[54])/33 + 
       (28785*s[55])/88 + (17681*s[56])/264 - (12061*s[57])/132 + 
       (105211*s[58])/792 - (112081*s[59])/792 - (1042717*s[60])/1584 + 
       (288479*s[61])/7128 - 12*s[82]) + HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 0, 1}, 1 - w]*((-147*s[5])/11 - (436*s[6])/33 - 
       (7325*s[7])/66 + (182*s[8])/33 + (298*s[9])/3 + 37*s[10] + 
       (7387*s[11])/66 + (1190*s[12])/11 + (3325*s[13])/66 + 
       (3727*s[14])/66 + (3263*s[15])/18 + (2284*s[16])/11 + 
       (12899*s[17])/66 + (299*s[18])/9 + (34*s[19])/9 + (27571*s[20])/99 + 
       (24859*s[21])/198 - (3871*s[22])/66 - (3890*s[23])/33 - 
       (11566*s[24])/99 + (415247*s[25])/3564 - (337451*s[26])/3564 + 
       s[35]/2 - s[36] - (8*s[38])/3 + (37*s[39])/3 - (37*s[40])/3 + 
       10*s[41] - (53*s[42])/3 - (325*s[43])/33 + (233*s[44])/22 - 
       (398*s[45])/33 + (1226*s[46])/11 - (125*s[47])/66 - (37*s[48])/66 + 
       (1181*s[49])/22 - (2861*s[50])/33 - (1115*s[51])/198 - 
       (101*s[52])/22 + (756*s[53])/11 - (52*s[54])/33 + (9721*s[55])/22 + 
       (2477*s[56])/22 - (4340*s[57])/99 + (96353*s[58])/594 - 
       (109349*s[59])/594 - (369547*s[60])/396 + (560167*s[61])/10692 - 
       12*s[82]) + HPL[{1}, 1 - v]^3*Omega2[v, w, u]*
      ((-751*s[5])/44 - (563*s[6])/33 - (35983*s[7])/264 + (2747*s[8])/396 + 
       (4519*s[9])/36 + (835*s[10])/18 + (4646*s[11])/33 + 
       (35803*s[12])/264 + (17275*s[13])/264 + (17593*s[14])/264 + 
       (15625*s[15])/72 + (33607*s[16])/132 + (5123*s[17])/22 + 
       (1271*s[18])/27 - (145*s[19])/54 + (406189*s[20])/1188 + 
       (382751*s[21])/2376 - (173191*s[22])/2376 - (14705*s[23])/88 - 
       (314815*s[24])/2376 + (767453*s[25])/5346 - (650669*s[26])/5346 - 
       (13*s[38])/3 + (62*s[39])/3 - (62*s[40])/3 + 17*s[41] - (94*s[42])/3 - 
       (338*s[43])/33 + (1283*s[44])/88 - (779*s[45])/66 + (3009*s[46])/22 - 
       (793*s[47])/88 + (2549*s[48])/264 + (17411*s[49])/264 - 
       (3613*s[50])/33 - (13819*s[51])/792 - (2947*s[52])/264 + 
       (5245*s[53])/66 + (235*s[54])/33 + (129323*s[55])/264 + 
       (12019*s[56])/88 - (87295*s[57])/396 + (586369*s[58])/2376 - 
       (610867*s[59])/2376 - (1693765*s[60])/1584 + (1441921*s[61])/21384 - 
       12*s[82]) + HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*
      (20*s[4] - (496*s[5])/11 - (1096*s[6])/11 - (17285*s[7])/33 - 
       (214*s[8])/11 + 412*s[9] + 284*s[10] + (6559*s[11])/11 + 
       (5297*s[12])/11 + (10900*s[13])/33 + (2210*s[14])/11 + 
       (3203*s[15])/3 + (37705*s[16])/33 + (39737*s[17])/33 - (590*s[18])/9 + 
       (2966*s[19])/9 + (121334*s[20])/99 + (47920*s[21])/99 - 
       (3030*s[22])/11 - (2738*s[23])/33 - (31718*s[24])/33 + 
       (609901*s[25])/891 - (375037*s[26])/891 - 32*s[37] - 56*s[38] + 
       48*s[39] - 48*s[40] - 40*s[41] + 16*s[42] - (1876*s[43])/11 + 
       (1400*s[44])/11 - (992*s[45])/11 + (6868*s[46])/11 + (8222*s[47])/33 - 
       (13162*s[48])/33 + (26770*s[49])/33 - (5380*s[50])/11 + 
       (5146*s[51])/33 + (3148*s[52])/33 + (15098*s[53])/33 + 
       (5756*s[54])/11 + (96638*s[55])/33 + (1202*s[56])/11 + 
       (52288*s[57])/33 + (2474*s[58])/11 - (28750*s[59])/33 - 
       (698375*s[60])/99 + (85094*s[61])/891 - 12*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((-400*s[5])/11 - (160*s[6])/11 - (3551*s[7])/11 + (134*s[8])/11 + 
       288*s[9] + 140*s[10] + (3103*s[11])/11 + (2169*s[12])/11 + 
       (864*s[13])/11 + (1558*s[14])/11 + (2099*s[15])/3 + (7135*s[16])/11 + 
       (8451*s[17])/11 + (74*s[18])/3 + (346*s[19])/3 + (26266*s[20])/33 + 
       (10624*s[21])/33 - (1758*s[22])/11 - (842*s[23])/11 - 
       (14650*s[24])/33 + (92507*s[25])/297 - (70943*s[26])/297 - 
       (332*s[43])/11 - (120*s[44])/11 - (800*s[45])/11 + (3668*s[46])/11 + 
       (234*s[47])/11 + (234*s[48])/11 + (1454*s[49])/11 - (3348*s[50])/11 + 
       (1114*s[51])/33 + (76*s[52])/11 + (3374*s[53])/11 + (716*s[54])/11 + 
       (66518*s[55])/33 + (2674*s[56])/11 + (12752*s[57])/11 + 
       (2782*s[58])/33 - (12238*s[59])/33 - (107021*s[60])/33 + 
       (39898*s[61])/297 - 12*s[82]) + HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 0, 1}, 1 - v]*((-366*s[5])/11 - (10987*s[6])/264 - 
       (12017*s[7])/44 + (10547*s[8])/792 + (18301*s[9])/72 + 
       (1595*s[10])/18 + (49897*s[11])/176 + (143677*s[12])/528 + 
       (37805*s[13])/264 + (4424*s[14])/33 + (3688*s[15])/9 + 
       (65117*s[16])/132 + (77707*s[17])/176 + (23459*s[18])/216 - 
       (5723*s[19])/216 + (1586785*s[20])/2376 + (789769*s[21])/2376 - 
       (349157*s[22])/2376 - (189911*s[23])/528 - (1123819*s[24])/4752 + 
       (12166655*s[25])/42768 - (10915061*s[26])/42768 + (2*s[36])/3 + 
       (13*s[37])/3 - (20*s[38])/3 + (145*s[39])/3 - (145*s[40])/3 + 
       43*s[41] - (236*s[42])/3 - (571*s[43])/33 + (1125*s[44])/44 - 
       (689*s[45])/33 + (3015*s[46])/11 - (7921*s[47])/264 + 
       (11483*s[48])/264 + (28801*s[49])/264 - (28273*s[50])/132 - 
       (40877*s[51])/792 - (5179*s[52])/132 + (4858*s[53])/33 - 
       (90*s[54])/11 + (232469*s[55])/264 + (77227*s[56])/264 - 
       (70883*s[57])/99 + (1370249*s[58])/2376 - (1331027*s[59])/2376 - 
       (3014083*s[60])/1584 + (784715*s[61])/5346 - 12*s[82]) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 1}, 1 - w]*(-43*s[4] + (151*s[5])/11 - 
       (1609*s[6])/88 - (58187*s[7])/264 + (44405*s[8])/792 + 
       (10939*s[9])/72 + (709*s[10])/36 + (138317*s[11])/528 + 
       (183233*s[12])/528 + (13601*s[13])/66 - (39419*s[14])/264 + 
       (17861*s[15])/72 + (16059*s[16])/44 + (79583*s[17])/528 + 
       (6875*s[18])/216 + (6667*s[19])/216 + (658495*s[20])/2376 + 
       (71765*s[21])/1188 - (133147*s[22])/1188 - (348707*s[23])/528 - 
       (955123*s[24])/4752 + (17361911*s[25])/42768 - (6789269*s[26])/42768 + 
       (2*s[36])/3 + (13*s[37])/3 - (20*s[38])/3 + (145*s[39])/3 - 
       (145*s[40])/3 + 43*s[41] - (236*s[42])/3 - (571*s[43])/33 + 
       (1125*s[44])/44 - (689*s[45])/33 + (3015*s[46])/11 - 
       (7921*s[47])/264 + (11483*s[48])/264 + (28801*s[49])/264 - 
       (28273*s[50])/132 - (40877*s[51])/792 - (5179*s[52])/132 + 
       (4858*s[53])/33 - (90*s[54])/11 + (232469*s[55])/264 + 
       (77227*s[56])/264 - (70883*s[57])/99 + (1370249*s[58])/2376 - 
       (1331027*s[59])/2376 - (3014083*s[60])/1584 + (784715*s[61])/5346 - 
       12*s[82]) + D32[v, w, u]*(-8*s[3] - (21*s[4])/2 - (43*s[5])/22 - 
       (222*s[6])/11 - (11333*s[7])/132 + (842*s[8])/99 + (1139*s[9])/18 + 
       (121*s[10])/18 + (14227*s[11])/132 + (8947*s[12])/66 + 
       (11849*s[13])/132 + (61*s[14])/132 + (997*s[15])/12 + 
       (4682*s[16])/33 + (3315*s[17])/44 + (1225*s[18])/54 + (137*s[19])/54 + 
       (44302*s[20])/297 + (67879*s[21])/1188 - (48515*s[22])/1188 - 
       (5935*s[23])/33 - (24887*s[24])/297 + (1579399*s[25])/10692 - 
       (852757*s[26])/10692 - 2*s[35] - s[37] - 5*s[38] + 18*s[39] - 
       20*s[40] + 12*s[41] - 26*s[42] - (118*s[43])/11 + (371*s[44])/22 - 
       (142*s[45])/11 + (1142*s[46])/11 - (272*s[47])/33 - (140*s[48])/33 + 
       (1850*s[49])/33 - (643*s[50])/11 - (150*s[51])/11 - (1223*s[52])/66 + 
       (1141*s[53])/33 - (304*s[54])/11 + (2711*s[55])/11 + (1269*s[56])/11 - 
       (9985*s[57])/33 + (2547*s[58])/11 - (6602*s[59])/33 - 
       (74362*s[60])/99 + (94019*s[61])/1782 + 2*s[76] - 12*s[82]) + 
     D32[w, u, v]*((-3*s[4])/2 - (131*s[5])/22 - (167*s[6])/11 - 
       (4137*s[7])/44 + (688*s[8])/99 + (1417*s[9])/18 + (293*s[10])/18 + 
       (14843*s[11])/132 + (4501*s[12])/33 + (10991*s[13])/132 + 
       (2591*s[14])/132 + (1055*s[15])/12 + (4880*s[16])/33 + 
       (10781*s[17])/132 + (1679*s[18])/54 - (449*s[19])/54 + 
       (56765*s[20])/297 + (94169*s[21])/1188 - (60241*s[22])/1188 - 
       (9923*s[23])/66 - (50621*s[24])/594 + (1456331*s[25])/10692 - 
       (878981*s[26])/10692 - 3*s[33] - 2*s[35] - s[37] - 5*s[38] + 
       18*s[39] - 20*s[40] + 12*s[41] - 26*s[42] - (118*s[43])/11 + 
       (371*s[44])/22 - (142*s[45])/11 + (1142*s[46])/11 - (272*s[47])/33 - 
       (140*s[48])/33 + (1850*s[49])/33 - (643*s[50])/11 - (150*s[51])/11 - 
       (1223*s[52])/66 + (1141*s[53])/33 - (304*s[54])/11 + (2711*s[55])/11 + 
       (1269*s[56])/11 - (9985*s[57])/33 + (2547*s[58])/11 - 
       (6602*s[59])/33 - (74362*s[60])/99 + (94019*s[61])/1782 + 2*s[76] - 
       12*s[82]) + HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((27*s[3])/4 - (305*s[4])/8 + (17*s[5])/4 + (337*s[6])/8 - 
       (34345*s[7])/144 + (3509*s[8])/216 + (5428*s[9])/27 + 
       (6577*s[10])/54 + (34913*s[11])/144 + (1615*s[12])/9 + 
       (32395*s[13])/144 - (25291*s[14])/144 + (82549*s[15])/144 + 
       (32897*s[16])/72 + (25445*s[17])/48 - (14821*s[18])/81 + 
       (219443*s[19])/648 + (132679*s[20])/648 - (81541*s[21])/1296 - 
       (163255*s[22])/1296 + (33341*s[23])/72 - (407939*s[24])/648 + 
       (2677681*s[25])/5832 - (413443*s[26])/5832 + s[30] - 12*s[35] + 
       (79*s[36])/6 - (7*s[37])/12 - 16*s[38] + (65*s[39])/8 - 
       (271*s[40])/24 - (11*s[41])/8 + (529*s[42])/24 - (1519*s[43])/24 + 
       (365*s[44])/48 - (2479*s[45])/24 + (4009*s[46])/12 + 
       (6485*s[47])/144 - (8377*s[48])/144 + (44305*s[49])/144 - 
       (1124*s[50])/3 + (6247*s[51])/144 + (6457*s[52])/144 + 
       (11747*s[53])/36 + (1787*s[54])/6 + (103939*s[55])/48 - 
       (1099*s[56])/48 + 2012*s[57] - (102295*s[58])/432 - 
       (59969*s[59])/432 - (3601609*s[60])/864 + (3503*s[61])/486 - 
       (3*s[62])/2 - (55*s[80])/6 - 12*s[82]) + HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - v]*((79*s[4])/2 - (587*s[5])/8 + (213*s[6])/8 - 
       (9121*s[7])/24 - (9767*s[8])/216 + (92275*s[9])/216 + 
       (52067*s[10])/216 + (11047*s[11])/36 + (9649*s[12])/72 - 
       (2641*s[13])/72 + (26735*s[14])/72 + (32497*s[15])/36 + 
       (7255*s[16])/9 + (74987*s[17])/72 + (57665*s[18])/648 + 
       (35417*s[19])/324 + (103870*s[20])/81 + (44899*s[21])/81 - 
       (139423*s[22])/648 + (7679*s[23])/18 - (86641*s[24])/162 + 
       (2398555*s[25])/11664 - (3395215*s[26])/11664 - (3*s[33])/4 + 
       3*s[34] - 12*s[35] + (79*s[36])/6 - (7*s[37])/12 - 16*s[38] + 
       (65*s[39])/8 - (271*s[40])/24 - (11*s[41])/8 + (529*s[42])/24 - 
       (1519*s[43])/24 + (365*s[44])/48 - (2479*s[45])/24 + (4009*s[46])/12 + 
       (6485*s[47])/144 - (8377*s[48])/144 + (44305*s[49])/144 - 
       (1124*s[50])/3 + (6247*s[51])/144 + (6457*s[52])/144 + 
       (11747*s[53])/36 + (1787*s[54])/6 + (103939*s[55])/48 - 
       (1099*s[56])/48 + 2012*s[57] - (102295*s[58])/432 - 
       (59969*s[59])/432 - (3601609*s[60])/864 + (3503*s[61])/486 - 
       (3*s[62])/2 - (55*s[80])/6 - 12*s[82]) + 
     D32[u, v, w]*((-21*s[4])/2 + s[5]/22 - (189*s[6])/11 - 
       (14149*s[7])/132 + (3439*s[8])/297 + (4591*s[9])/54 + (971*s[10])/54 + 
       (51833*s[11])/396 + (16033*s[12])/99 + (41795*s[13])/396 + 
       (557*s[14])/396 + (3775*s[15])/36 + (16565*s[16])/99 + 
       (33509*s[17])/396 + (3059*s[18])/162 + (1393*s[19])/162 + 
       (342757*s[20])/1782 + (228101*s[21])/3564 - (207343*s[22])/3564 - 
       (35225*s[23])/198 - (196919*s[24])/1782 + (5604623*s[25])/32076 - 
       (2791295*s[26])/32076 - 2*s[35] - 4*s[36] - (2*s[37])/3 - 6*s[38] + 
       23*s[39] - 27*s[40] + 21*s[41] - 35*s[42] - (173*s[43])/11 + 
       (525*s[44])/22 - (239*s[45])/33 + (4130*s[46])/33 - (533*s[47])/66 - 
       (599*s[48])/66 + (5339*s[49])/66 - (940*s[50])/11 - (1351*s[51])/66 - 
       (1399*s[52])/66 + (4435*s[53])/99 - (934*s[54])/33 + 
       (20347*s[55])/66 + (23887*s[56])/198 - (97004*s[57])/297 + 
       (461267*s[58])/1782 - (412883*s[59])/1782 - (397603*s[60])/396 + 
       (370522*s[61])/8019 - 8*s[79] + (8*s[80])/3 - 12*s[82]) + 
     HPL[{1}, 1 - u]^2*Qep[u, w, v]*((2864*s[5])/99 + (7904*s[6])/99 + 
       (89798*s[7])/297 - (860*s[8])/99 - (2188*s[9])/9 - (436*s[10])/9 - 
       (27578*s[11])/99 - (28888*s[12])/99 - (81022*s[13])/297 - 
       (23998*s[14])/99 - (9850*s[15])/27 - (150556*s[16])/297 - 
       (138290*s[17])/297 - (9136*s[18])/81 + (4348*s[19])/81 - 
       (564668*s[20])/891 - (323350*s[21])/891 + (13462*s[22])/99 + 
       (20588*s[23])/297 + (61136*s[24])/297 - (2170588*s[25])/8019 + 
       (2343100*s[26])/8019 + (640*s[37])/9 + (5744*s[43])/99 + 
       (2672*s[44])/99 + (5728*s[45])/99 - (3248*s[46])/11 + 
       (5656*s[47])/297 + (42088*s[48])/297 - (28408*s[49])/297 + 
       (7088*s[50])/99 - (26744*s[51])/297 + (18032*s[52])/297 - 
       (35048*s[53])/297 + (28192*s[54])/99 - (42520*s[55])/33 - 
       (73976*s[56])/99 - (173072*s[57])/297 - (286888*s[58])/891 + 
       (290968*s[59])/891 + (1948700*s[60])/891 - (189688*s[61])/891 - 
       (32*s[82])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v]*((899*s[5])/66 + (292*s[6])/33 + 
       (70385*s[7])/792 - (1355*s[8])/396 - (2779*s[9])/36 - 
       (1175*s[10])/36 - (19885*s[11])/264 - (7081*s[12])/132 - 
       (11881*s[13])/792 - (4899*s[14])/88 - (14203*s[15])/72 - 
       (68999*s[16])/396 - (165809*s[17])/792 - (541*s[18])/27 - 
       (1361*s[19])/108 - (273425*s[20])/1188 - (77611*s[21])/792 + 
       (99505*s[22])/2376 + (12917*s[23])/198 + (130205*s[24])/1188 - 
       (269477*s[25])/3564 + (244601*s[26])/3564 + (31*s[37])/3 + 2*s[38] + 
       3*s[39] - 3*s[40] + 7*s[41] - 7*s[42] + (178*s[43])/33 + 
       (139*s[44])/132 + (734*s[45])/33 - (988*s[46])/11 - (157*s[47])/396 + 
       (2219*s[48])/396 - (2939*s[49])/396 + (2248*s[50])/33 - 
       (4687*s[51])/396 + (661*s[52])/396 - (15173*s[53])/198 + 
       (890*s[54])/33 - (23087*s[55])/44 - (16735*s[56])/132 - 
       (64379*s[57])/198 - (33131*s[58])/1188 + (78029*s[59])/1188 + 
       (1921649*s[60])/2376 - (203207*s[61])/3564 - 10*s[82]) + 
     HPL[{1}, 1 - v]^4*HPL[{0, 0, 1}, 1 - v]*((-2807*s[5])/66 - 
       (6419*s[6])/132 - (284063*s[7])/792 + (589*s[8])/33 + (1979*s[9])/6 + 
       (1441*s[10])/12 + (95515*s[11])/264 + (89027*s[12])/264 + 
       (137239*s[13])/792 + (3853*s[14])/22 + (40709*s[15])/72 + 
       (128551*s[16])/198 + (120977*s[17])/198 + (13451*s[18])/108 - 
       (296*s[19])/27 + (2068109*s[20])/2376 + (982189*s[21])/2376 - 
       (25067*s[22])/132 - (320081*s[23])/792 - (86983*s[24])/264 + 
       (3974357*s[25])/10692 - (6797551*s[26])/21384 + (7*s[37])/3 - 
       (41*s[38])/6 + (203*s[39])/4 - (305*s[40])/6 + (271*s[41])/6 - 
       (995*s[42])/12 - (1009*s[43])/44 + (629*s[44])/22 - (1223*s[45])/33 + 
       (11884*s[46])/33 - (23995*s[47])/792 + (36659*s[48])/792 + 
       (103027*s[49])/792 - (37877*s[50])/132 - (4667*s[51])/88 - 
       (15469*s[52])/396 + (42461*s[53])/198 - (536*s[54])/33 + 
       (1038061*s[55])/792 + (33239*s[56])/88 - (219617*s[57])/396 + 
       (1533229*s[58])/2376 - (1562905*s[59])/2376 - (12546745*s[60])/4752 + 
       (37793*s[61])/198 - 10*s[82]) + HPL[{1}, 1 - w]^4*
      HPL[{0, 0, 1}, 1 - w]*((-271*s[4])/6 + (303*s[5])/44 - (270*s[6])/11 - 
       (119839*s[7])/396 + (24811*s[8])/396 + (3997*s[9])/18 + 
       (1717*s[10])/36 + (29829*s[11])/88 + (18279*s[12])/44 + 
       (23693*s[13])/99 - (32359*s[14])/264 + (7105*s[15])/18 + 
       (203411*s[16])/396 + (30178*s[17])/99 + (515*s[18])/12 + 
       (899*s[19])/18 + (121171*s[20])/264 + (75149*s[21])/594 - 
       (363305*s[22])/2376 - (70861*s[23])/99 - (88543*s[24])/297 + 
       (10680773*s[25])/21384 - (1155545*s[26])/5346 + (7*s[37])/3 - 
       (41*s[38])/6 + (203*s[39])/4 - (305*s[40])/6 + (271*s[41])/6 - 
       (995*s[42])/12 - (1009*s[43])/44 + (629*s[44])/22 - (1223*s[45])/33 + 
       (11884*s[46])/33 - (23995*s[47])/792 + (36659*s[48])/792 + 
       (103027*s[49])/792 - (37877*s[50])/132 - (4667*s[51])/88 - 
       (15469*s[52])/396 + (42461*s[53])/198 - (536*s[54])/33 + 
       (1038061*s[55])/792 + (33239*s[56])/88 - (219617*s[57])/396 + 
       (1533229*s[58])/2376 - (1562905*s[59])/2376 - (12546745*s[60])/4752 + 
       (37793*s[61])/198 - 10*s[82]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 0, 1, 1}, 1 - u]*((-5245*s[5])/66 - (1610*s[6])/33 - 
       (590305*s[7])/792 + (14635*s[8])/396 + (23495*s[9])/36 + 
       (10495*s[10])/36 + (177065*s[11])/264 + (71465*s[12])/132 + 
       (196325*s[13])/792 + (31415*s[14])/88 + (104195*s[15])/72 + 
       (558625*s[16])/396 + (1240045*s[17])/792 + (2930*s[18])/27 + 
       (19765*s[19])/108 + (2140045*s[20])/1188 + (572455*s[21])/792 - 
       (879365*s[22])/2376 - (22760*s[23])/99 - (1104835*s[24])/1188 + 
       (2643215*s[25])/3564 - (1960295*s[26])/3564 - (80*s[37])/3 - 
       (1325*s[43])/33 + (835*s[44])/132 - (5245*s[45])/33 + 
       (8300*s[46])/11 + (7295*s[47])/396 + (5315*s[48])/396 + 
       (71725*s[49])/396 - (21680*s[50])/33 + (18125*s[51])/396 - 
       (635*s[52])/396 + (122275*s[53])/198 - (520*s[54])/33 + 
       (552515*s[55])/132 + (104345*s[56])/132 + (411775*s[57])/198 + 
       (500965*s[58])/1188 - (948655*s[59])/1188 - (16352995*s[60])/2376 + 
       (1432375*s[61])/3564 - 10*s[82]) + HPL[{1}, 1 - u]^3*
      HPL[{0, 0, 0, 1}, 1 - w]*((-115*s[5])/33 + (218*s[6])/33 - 
       (22523*s[7])/792 + (263*s[8])/132 + (331*s[9])/12 + (83*s[10])/4 + 
       (6533*s[11])/264 + (709*s[12])/66 - (7817*s[13])/792 + 
       (103*s[14])/264 + (6133*s[15])/72 + (27011*s[16])/396 + 
       (70457*s[17])/792 - (196*s[18])/27 + (2917*s[19])/108 + 
       (95527*s[20])/1188 + (45667*s[21])/2376 - (12689*s[22])/792 - 
       (2059*s[23])/396 - (6086*s[24])/99 + (344321*s[25])/10692 - 
       (131741*s[26])/10692 + (16*s[37])/3 + (47*s[43])/33 + (151*s[44])/66 - 
       (230*s[45])/33 + (333*s[46])/11 + (454*s[47])/99 + (1642*s[48])/99 + 
       (1652*s[49])/99 - (1633*s[50])/33 - (230*s[51])/99 + 
       (1945*s[52])/198 + (8321*s[53])/198 + (1588*s[54])/33 + 
       (2539*s[55])/11 - (887*s[56])/33 + (13126*s[57])/99 - 
       (3796*s[58])/297 - (9917*s[59])/297 - (225977*s[60])/594 + 
       (8137*s[61])/1782 - 8*s[82]) + HPL[{1}, 1 - w]^2*M1[w, v, u]*
      ((3*s[4])/4 + 8*s[5] + (9*s[6])/2 + (153*s[7])/2 - (149*s[8])/36 - 
       (1213*s[9])/18 - (1075*s[10])/36 - (1625*s[11])/24 - (419*s[12])/8 - 
       (50*s[13])/3 - (97*s[14])/3 - (2893*s[15])/18 - (430*s[16])/3 - 
       (3901*s[17])/24 - (743*s[18])/54 - (455*s[19])/27 - (5167*s[20])/27 - 
       (2107*s[21])/27 + (1019*s[22])/27 + (1103*s[23])/24 + 
       (20347*s[24])/216 - (142289*s[25])/1944 + (113039*s[26])/1944 - 
       s[38]/6 - (5*s[39])/12 + (5*s[40])/12 - (3*s[41])/4 + (19*s[42])/12 + 
       (61*s[43])/12 - (9*s[44])/8 + (197*s[45])/12 - (157*s[46])/2 - 
       (5*s[47])/8 - (31*s[48])/8 - (135*s[49])/8 + (208*s[50])/3 - 
       (109*s[51])/72 - (11*s[52])/8 - (143*s[53])/2 + (13*s[54])/2 - 
       (3549*s[55])/8 - (1735*s[56])/24 - (2068*s[57])/9 - (7403*s[58])/216 + 
       (17879*s[59])/216 + (33511*s[60])/48 - (9433*s[61])/243 - 6*s[82]) + 
     B8[u, v, w]*HPL[{1}, 1 - w]*((3*s[4])/4 + (51*s[5])/22 + (153*s[6])/44 + 
       (2175*s[7])/88 - (95*s[8])/44 - (43*s[9])/2 - 6*s[10] - 
       (1811*s[11])/88 - (755*s[12])/44 - (603*s[13])/88 - (973*s[14])/88 - 
       (1007*s[15])/24 - (420*s[16])/11 - (3717*s[17])/88 - (25*s[18])/3 + 
       (19*s[19])/12 - (7187*s[20])/132 - (1979*s[21])/88 + 
       (3005*s[22])/264 + (1495*s[23])/44 + (2171*s[24])/132 - 
       (27605*s[25])/1188 + (21827*s[26])/1188 + s[37]/2 - (3*s[39])/4 + 
       (3*s[40])/4 - (3*s[41])/4 + (7*s[42])/4 + (73*s[43])/44 + 
       (169*s[44])/88 + (237*s[45])/44 - (545*s[46])/22 + (111*s[47])/88 - 
       (395*s[48])/88 + (459*s[49])/88 + (174*s[50])/11 + (727*s[51])/264 + 
       (271*s[52])/88 - (205*s[53])/11 + (226*s[54])/11 - (10357*s[55])/88 - 
       (3131*s[56])/88 - (2455*s[57])/66 - (20527*s[58])/792 + 
       (23479*s[59])/792 + (27007*s[60])/176 - (29191*s[61])/1782 - 
       6*s[82]) + B8[u, v, w]*HPL[{1}, 1 - v]*((135*s[5])/44 + 
       (241*s[6])/44 + (541*s[7])/22 - (109*s[8])/132 - (269*s[9])/12 - 
       (73*s[10])/12 - (911*s[11])/44 - (164*s[12])/11 - (395*s[13])/44 - 
       (723*s[14])/44 - (173*s[15])/4 - (1691*s[16])/44 - (1031*s[17])/22 - 
       (247*s[18])/36 + (7*s[19])/9 - (10753*s[20])/198 - (2522*s[21])/99 + 
       (4513*s[22])/396 + (313*s[23])/22 + (1906*s[24])/99 - 
       (155851*s[25])/7128 + (143359*s[26])/7128 + s[37]/2 - (3*s[39])/4 + 
       (3*s[40])/4 - (3*s[41])/4 + (7*s[42])/4 + (73*s[43])/44 + 
       (169*s[44])/88 + (237*s[45])/44 - (545*s[46])/22 + (111*s[47])/88 - 
       (395*s[48])/88 + (459*s[49])/88 + (174*s[50])/11 + (727*s[51])/264 + 
       (271*s[52])/88 - (205*s[53])/11 + (226*s[54])/11 - (10357*s[55])/88 - 
       (3131*s[56])/88 - (2455*s[57])/66 - (20527*s[58])/792 + 
       (23479*s[59])/792 + (27007*s[60])/176 - (29191*s[61])/1782 - 
       6*s[82]) + HPL[{1}, 1 - u]^3*Omega2[w, u, v]*
      ((3*s[5])/22 + (93*s[6])/11 + (68*s[7])/11 + (7*s[8])/99 - 
       (47*s[9])/18 + (64*s[10])/9 - (901*s[11])/132 - (1033*s[12])/66 - 
       (2887*s[13])/132 - (2083*s[14])/132 + (39*s[15])/2 + (359*s[16])/132 + 
       (2357*s[17])/132 - (332*s[18])/27 + (497*s[19])/27 - (964*s[20])/297 - 
       (15373*s[21])/1188 + (1613*s[22])/1188 + (599*s[23])/132 - 
       (20443*s[24])/1188 - (33757*s[25])/10692 + (130723*s[26])/10692 + 
       (16*s[37])/3 + (31*s[43])/11 + (81*s[44])/44 + (3*s[45])/11 - 
       (50*s[46])/11 + (553*s[47])/132 + (2137*s[48])/132 + 
       (1091*s[49])/132 - (202*s[50])/11 - (183*s[51])/44 + 
       (1319*s[52])/132 + (917*s[53])/66 + (518*s[54])/11 + 
       (5251*s[55])/132 - (2845*s[56])/44 + (2713*s[57])/66 - 
       (4283*s[58])/132 + (47*s[59])/44 - (46061*s[60])/792 - 
       (51941*s[61])/3564 - 6*s[82]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*((-4*s[5])/11 + (82*s[6])/11 - (71*s[7])/396 + 
       (163*s[8])/594 + (131*s[9])/54 + (499*s[10])/54 + (91*s[11])/396 - 
       (664*s[12])/99 - (7429*s[13])/396 - (4775*s[14])/396 + 
       (307*s[15])/12 + (2293*s[16])/198 + (2819*s[17])/132 - 
       (607*s[18])/81 + (2549*s[19])/162 + (24785*s[20])/1782 - 
       (23723*s[21])/3564 - (6953*s[22])/3564 - (1175*s[23])/198 - 
       (19163*s[24])/891 + (67301*s[25])/16038 + (117253*s[26])/16038 + 
       (32*s[37])/9 + (148*s[43])/33 + (79*s[44])/22 - (8*s[45])/11 + 
       (70*s[46])/33 + (593*s[47])/198 + (3035*s[48])/198 + (487*s[49])/198 - 
       (760*s[50])/33 - (141*s[51])/22 + (1423*s[52])/198 + (1447*s[53])/99 + 
       (1246*s[54])/33 + (10181*s[55])/198 - (3019*s[56])/66 + 
       (311*s[57])/11 - (10039*s[58])/594 - (53*s[59])/594 - 
       (113449*s[60])/1188 - (28505*s[61])/5346 - 6*s[82]) + 
     HPL[{1}, 1 - v]^2*M1[v, u, w]*((-7*s[5])/11 + (215*s[6])/132 - 
       (127*s[7])/33 + (313*s[8])/396 + (71*s[9])/36 + (31*s[10])/36 + 
       (2165*s[11])/264 + (4187*s[12])/264 + (26*s[13])/33 + (23*s[14])/33 - 
       (37*s[15])/36 + (397*s[16])/33 - (2063*s[17])/264 + (391*s[18])/27 - 
       (388*s[19])/27 + (30179*s[20])/1188 + (14611*s[21])/594 - 
       (3439*s[22])/1188 - (18611*s[23])/264 + (21889*s[24])/2376 - 
       (15833*s[25])/21384 - (315115*s[26])/21384 - (4*s[38])/3 + 
       (53*s[39])/12 - (53*s[40])/12 + (13*s[41])/4 - (61*s[42])/12 - 
       (53*s[43])/132 + (183*s[44])/44 + (569*s[45])/132 + (6*s[46])/11 - 
       (553*s[47])/132 + (167*s[48])/33 + (1945*s[49])/132 + (67*s[50])/33 + 
       (323*s[51])/198 - (49*s[52])/66 - (178*s[53])/33 + (383*s[54])/22 - 
       (591*s[55])/22 + (1297*s[56])/132 - (61477*s[57])/396 + 
       (54893*s[58])/1188 - (14576*s[59])/297 + (3521*s[60])/198 + 
       (47371*s[61])/21384 - 6*s[82]) + HPL[{1}, 1 - v]^2*M1[w, v, u]*
      ((-47*s[5])/11 - (74*s[6])/33 - (1079*s[7])/33 + (401*s[8])/198 + 
       (529*s[9])/18 + (221*s[10])/18 + (755*s[11])/22 + (4363*s[12])/132 + 
       (1847*s[13])/132 + (1955*s[14])/132 + (1001*s[15])/18 + 
       (2793*s[16])/44 + (3847*s[17])/66 + (238*s[18])/27 + (187*s[19])/54 + 
       (25259*s[20])/297 + (43121*s[21])/1188 - (21079*s[22])/1188 - 
       (2315*s[23])/66 - (22523*s[24])/594 + (378737*s[25])/10692 - 
       (283985*s[26])/10692 + s[35] - s[36] - s[37] - (7*s[38])/6 + 
       (10*s[39])/3 - (10*s[40])/3 + (5*s[41])/2 - (25*s[42])/6 - 
       (109*s[43])/33 + (201*s[44])/44 - (223*s[45])/66 + (364*s[46])/11 + 
       (31*s[47])/44 - (123*s[48])/44 + (941*s[49])/44 - (1811*s[50])/66 - 
       (325*s[51])/396 + (41*s[52])/44 + (463*s[53])/22 + (75*s[54])/11 + 
       (17845*s[55])/132 + (3683*s[56])/132 + (365*s[57])/198 + 
       (51145*s[58])/1188 - (61135*s[59])/1188 - (82391*s[60])/264 + 
       (140233*s[61])/10692 - 6*s[82]) + HPL[{0, 1, 1}, 1 - u]*
      Omega2[w, u, v]*((-200*s[5])/11 - (190*s[6])/11 - (6893*s[7])/44 + 
       (79*s[8])/22 + (283*s[9])/2 + (127*s[10])/2 + (6217*s[11])/44 + 
       (1035*s[12])/11 + (2773*s[13])/44 + (3743*s[14])/44 + (1419*s[15])/4 + 
       (6805*s[16])/22 + (17111*s[17])/44 - 3*s[18] + (131*s[19])/2 + 
       (8099*s[20])/22 + (6859*s[21])/44 - (10229*s[22])/132 + 
       (1149*s[23])/22 - (8128*s[24])/33 + (95653*s[25])/594 - 
       (73891*s[26])/594 - (166*s[43])/11 - (60*s[44])/11 - (400*s[45])/11 + 
       (1834*s[46])/11 + (117*s[47])/11 + (117*s[48])/11 + (727*s[49])/11 - 
       (1674*s[50])/11 + (557*s[51])/33 + (38*s[52])/11 + (1687*s[53])/11 + 
       (358*s[54])/11 + (33259*s[55])/33 + (1337*s[56])/11 + 
       (6376*s[57])/11 + (1391*s[58])/33 - (6119*s[59])/33 - 
       (107021*s[60])/66 + (19949*s[61])/297 - 6*s[82]) + 
     HPL[{0, 1, 1}, 1 - u]*Omega2[u, v, w]*((-200*s[5])/11 + (30*s[6])/11 - 
       (7311*s[7])/44 + (189*s[8])/22 + (293*s[9])/2 + (153*s[10])/2 + 
       (6195*s[11])/44 + (1134*s[12])/11 + (683*s[13])/44 + (2489*s[14])/44 + 
       (4139*s[15])/12 + (7465*s[16])/22 + (16693*s[17])/44 + (83*s[18])/3 + 
       (299*s[19])/6 + (28235*s[20])/66 + (21919*s[21])/132 - 
       (10867*s[22])/132 - (2833*s[23])/22 - (2174*s[24])/11 + 
       (9929*s[25])/66 - (7555*s[26])/66 - (166*s[43])/11 - (60*s[44])/11 - 
       (400*s[45])/11 + (1834*s[46])/11 + (117*s[47])/11 + (117*s[48])/11 + 
       (727*s[49])/11 - (1674*s[50])/11 + (557*s[51])/33 + (38*s[52])/11 + 
       (1687*s[53])/11 + (358*s[54])/11 + (33259*s[55])/33 + 
       (1337*s[56])/11 + (6376*s[57])/11 + (1391*s[58])/33 - 
       (6119*s[59])/33 - (107021*s[60])/66 + (19949*s[61])/297 - 6*s[82]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 1}, 1 - u]*((-2063*s[5])/22 - 
       (604*s[6])/11 - (227411*s[7])/264 + (5177*s[8])/132 + (9109*s[9])/12 + 
       (4133*s[10])/12 + (67315*s[11])/88 + (25867*s[12])/44 + 
       (69991*s[13])/264 + (35847*s[14])/88 + (41785*s[15])/24 + 
       (219095*s[16])/132 + (499487*s[17])/264 + (964*s[18])/9 + 
       (8543*s[19])/36 + (828095*s[20])/396 + (226445*s[21])/264 - 
       (337207*s[22])/792 - (8269*s[23])/33 - (433349*s[24])/396 + 
       (996613*s[25])/1188 - (767581*s[26])/1188 - 24*s[37] - 
       (667*s[43])/11 - (151*s[44])/44 - (2063*s[45])/11 + (9648*s[46])/11 + 
       (4141*s[47])/132 + (2953*s[48])/132 + (33623*s[49])/132 - 
       (8440*s[50])/11 + (9271*s[51])/132 + (2015*s[52])/132 + 
       (49349*s[53])/66 + (328*s[54])/11 + (221145*s[55])/44 + 
       (37051*s[56])/44 + (173093*s[57])/66 + (165695*s[58])/396 - 
       (385373*s[59])/396 - (6433001*s[60])/792 + (511613*s[61])/1188 - 
       6*s[82]) + B8[v, w, u]*HPL[{1}, 1 - v]*((135*s[5])/44 + 
       (197*s[6])/44 + (409*s[7])/22 - (65*s[8])/132 - (193*s[9])/12 - 
       (53*s[10])/12 - (285*s[11])/22 - (65*s[12])/11 - (30*s[13])/11 - 
       (156*s[14])/11 - (163*s[15])/4 - (741*s[16])/22 - (2073*s[17])/44 - 
       (179*s[18])/36 + (5*s[19])/9 - (8267*s[20])/198 - (8581*s[21])/396 + 
       (1591*s[22])/198 + (747*s[23])/44 + (6029*s[24])/396 - 
       (88289*s[25])/7128 + (111041*s[26])/7128 - s[38] + s[39]/4 - s[40]/4 - 
       (3*s[41])/4 + (5*s[42])/4 - (15*s[43])/44 + (257*s[44])/88 + 
       (237*s[45])/44 - (413*s[46])/22 + (287*s[47])/88 - (747*s[48])/88 + 
       (1031*s[49])/88 + (141*s[50])/11 + (169*s[51])/88 + (227*s[52])/88 - 
       (377*s[53])/22 + (226*s[54])/11 - (9433*s[55])/88 - (2823*s[56])/88 - 
       (1255*s[57])/33 - (14279*s[58])/792 + (19607*s[59])/792 + 
       (48857*s[60])/528 - (29345*s[61])/1782 + s[76] - s[80] - 6*s[82]) + 
     B8[w, u, v]*HPL[{1}, 1 - w]*((-3*s[2])/2 + (3*s[4])/4 + (73*s[5])/22 + 
       (65*s[6])/44 + (1911*s[7])/88 - (139*s[8])/44 - (35*s[9])/2 - 
       6*s[10] - (1349*s[11])/88 - (513*s[12])/44 + (35*s[13])/88 - 
       (907*s[14])/88 - (297*s[15])/8 - (1427*s[16])/44 - (3519*s[17])/88 - 
       (65*s[18])/6 + (19*s[19])/12 - (6461*s[20])/132 - (2177*s[21])/88 + 
       (2191*s[22])/264 + (775*s[23])/22 + (739*s[24])/66 - (895*s[25])/66 + 
       (584*s[26])/33 - s[31] - (3*s[33])/2 + s[34] - s[38] + s[39]/4 - 
       s[40]/4 - (3*s[41])/4 + (5*s[42])/4 - (15*s[43])/44 + (257*s[44])/88 + 
       (237*s[45])/44 - (413*s[46])/22 + (287*s[47])/88 - (747*s[48])/88 + 
       (1031*s[49])/88 + (141*s[50])/11 + (169*s[51])/88 + (227*s[52])/88 - 
       (377*s[53])/22 + (226*s[54])/11 - (9433*s[55])/88 - (2823*s[56])/88 - 
       (1255*s[57])/33 - (14279*s[58])/792 + (19607*s[59])/792 + 
       (48857*s[60])/528 - (29345*s[61])/1782 + s[76] - s[80] - 6*s[82]) + 
     HPL[{1}, 1 - w]^4*HPL[{0, 0, 1}, 1 - u]*(-s[1]/12 + (143*s[4])/12 - 
       (215*s[5])/66 + (5965*s[6])/704 + (126079*s[7])/2112 - 
       (280747*s[8])/19008 - (72797*s[9])/1728 - (1703*s[10])/864 - 
       (871891*s[11])/12672 - (1147967*s[12])/12672 - (2337*s[13])/44 + 
       (216157*s[14])/6336 - (36281*s[15])/576 - (95719*s[16])/1056 - 
       (448937*s[17])/12672 - (76165*s[18])/5184 + (4171*s[19])/5184 - 
       (4308365*s[20])/57024 - (564193*s[21])/28512 + (837593*s[22])/28512 + 
       (784087*s[23])/4224 + (4725557*s[24])/114048 - 
       (107697025*s[25])/1026432 + (46020907*s[26])/1026432 - (17*s[37])/9 + 
       (5*s[38])/6 - (149*s[39])/12 + (149*s[40])/12 - (143*s[41])/12 + 
       (257*s[42])/12 + (403*s[43])/88 - (5047*s[44])/1056 + 
       (3325*s[45])/528 - (6535*s[46])/88 + (20593*s[47])/2112 - 
       (9753*s[48])/704 - (31441*s[49])/2112 + (17975*s[50])/352 + 
       (100981*s[51])/6336 + (16267*s[52])/1056 - (3229*s[53])/88 + 
       (1145*s[54])/44 - (154519*s[55])/704 - (201307*s[56])/2112 + 
       (167485*s[57])/792 - (3124177*s[58])/19008 + (2836267*s[59])/19008 + 
       (5427395*s[60])/12672 - (1945985*s[61])/42768 - 5*s[82]) + 
     HPL[{1}, 1 - v]^4*HPL[{0, 0, 1}, 1 - w]*((2789*s[5])/528 + 
       (60421*s[6])/6336 + (4495*s[7])/99 - (36353*s[8])/19008 - 
       (72487*s[9])/1728 - (5639*s[10])/432 - (66565*s[11])/1408 - 
       (562447*s[12])/12672 - (162985*s[13])/6336 - (76535*s[14])/3168 - 
       (53329*s[15])/864 - (81091*s[16])/1056 - (851519*s[17])/12672 - 
       (117653*s[18])/5184 + (60245*s[19])/5184 - (6120391*s[20])/57024 - 
       (3372349*s[21])/57024 + (1362257*s[22])/57024 + (965125*s[23])/12672 + 
       (3288289*s[24])/114048 - (47652281*s[25])/1026432 + 
       (47948651*s[26])/1026432 - (11*s[37])/18 + (71*s[38])/72 - 
       (353*s[39])/36 + (353*s[40])/36 - (29*s[41])/3 + (1199*s[42])/72 + 
       (3739*s[43])/792 - (140*s[44])/33 + (1811*s[45])/792 - 
       (991*s[46])/22 + (4845*s[47])/704 - (6463*s[48])/704 - 
       (38567*s[49])/2112 + (96319*s[50])/3168 + (223961*s[51])/19008 + 
       (1821*s[52])/176 - (1861*s[53])/88 + (89*s[54])/11 - 
       (79241*s[55])/704 - (325783*s[56])/6336 + (882583*s[57])/4752 - 
       (6333185*s[58])/57024 + (5851235*s[59])/57024 + 
       (3231725*s[60])/12672 - (6221143*s[61])/256608 - 5*s[82]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - w]*
      ((5*s[4])/6 - (236*s[5])/33 + (1399*s[6])/88 - (37967*s[7])/792 + 
       (553*s[8])/88 + (1121*s[9])/24 + (353*s[10])/12 + (15673*s[11])/528 + 
       (1887*s[12])/176 - (2546*s[13])/99 + (2237*s[14])/264 + 
       (9295*s[15])/72 + (10666*s[16])/99 + (215153*s[17])/1584 + 
       (3095*s[18])/216 + (3079*s[19])/216 + (346627*s[20])/2376 + 
       (65233*s[21])/1188 - (9881*s[22])/396 - (110129*s[23])/1584 - 
       (76465*s[24])/1584 + (1084651*s[25])/42768 - (1112065*s[26])/42768 - 
       s[35]/3 + s[36]/3 - (5*s[37])/3 + (19*s[38])/6 - (7*s[39])/3 + 
       (8*s[40])/3 - (5*s[41])/6 + s[42]/6 + (103*s[43])/33 - 
       (943*s[44])/132 - (266*s[45])/11 + (2740*s[46])/33 - 
       (2927*s[47])/792 + (21757*s[48])/792 + (4667*s[49])/792 - 
       (12629*s[50])/132 + (299*s[51])/88 + (2587*s[52])/396 + 
       (8675*s[53])/99 + (399*s[54])/11 + (442679*s[55])/792 + 
       (14251*s[56])/264 + (9773*s[57])/33 + (57985*s[58])/2376 - 
       (193279*s[59])/2376 - (3771125*s[60])/4752 + (118519*s[61])/2673 - 
       5*s[82]) + HPL[{1}, 1 - w]^4*HPL[{0, 1, 1}, 1 - u]*
      ((-35*s[4])/4 + (353*s[5])/132 - (5905*s[6])/2112 - 
       (357667*s[7])/6336 + (290669*s[8])/19008 + (67435*s[9])/1728 + 
       (4249*s[10])/864 + (819509*s[11])/12672 + (1165897*s[12])/12672 + 
       (19823*s[13])/396 - (185291*s[14])/6336 + (29887*s[15])/576 + 
       (270019*s[16])/3168 + (28471*s[17])/1408 + (110435*s[18])/5184 - 
       (39581*s[19])/5184 + (4637947*s[20])/57024 + (702287*s[21])/28512 - 
       (821335*s[22])/28512 - (2271059*s[23])/12672 - 
       (3440515*s[24])/114048 + (95864039*s[25])/1026432 - 
       (42648461*s[26])/1026432 + (85*s[37])/36 - (5*s[38])/3 + 
       (127*s[39])/12 - (127*s[40])/12 + (35*s[41])/4 - (71*s[42])/4 + 
       (793*s[43])/264 + (4981*s[44])/1056 - (691*s[45])/132 + 
       (5589*s[46])/88 - (58061*s[47])/6336 + (100735*s[48])/6336 - 
       (10771*s[49])/6336 - (52099*s[50])/1056 - (35897*s[51])/2112 - 
       (45083*s[52])/3168 + (20195*s[53])/792 - (3545*s[54])/132 + 
       (1128497*s[55])/6336 + (204805*s[56])/2112 - (166913*s[57])/792 + 
       (1047413*s[58])/6336 - (812887*s[59])/6336 - (13532471*s[60])/38016 + 
       (711655*s[61])/14256 - 5*s[82]) + HPL[{1}, 1 - v]^4*
      HPL[{0, 1, 1}, 1 - w]*((-10691*s[5])/528 - (124403*s[6])/6336 - 
       (5708*s[7])/33 + (165367*s[8])/19008 + (274001*s[9])/1728 + 
       (26197*s[10])/432 + (728297*s[11])/4224 + (1981385*s[12])/12672 + 
       (483487*s[13])/6336 + (256273*s[14])/3168 + (248543*s[15])/864 + 
       (1023655*s[16])/3168 + (445905*s[17])/1408 + (261139*s[18])/5184 + 
       (40157*s[19])/5184 + (24083825*s[20])/57024 + (11051531*s[21])/57024 - 
       (5230147*s[22])/57024 - (2359651*s[23])/12672 - 
       (20171495*s[24])/114048 + (186990847*s[25])/1026432 - 
       (153402397*s[26])/1026432 - (7*s[37])/9 - (235*s[38])/72 + 
       (211*s[39])/9 - (847*s[40])/36 + (65*s[41])/3 - (2725*s[42])/72 - 
       (13235*s[43])/792 + (1927*s[44])/132 - (1871*s[45])/99 + 
       (1902*s[46])/11 - (70739*s[47])/6336 + (105745*s[48])/6336 + 
       (563315*s[49])/6336 - (451577*s[50])/3168 - (355903*s[51])/19008 - 
       (17635*s[52])/1584 + (90659*s[53])/792 + (521*s[54])/22 + 
       (4321415*s[55])/6336 + (947009*s[56])/6336 - (824465*s[57])/4752 + 
       (15153895*s[58])/57024 - (17612101*s[59])/57024 - 
       (52906193*s[60])/38016 + (19625321*s[61])/256608 - (9*s[82])/2) + 
     HPL[{1}, 1 - u]^4*HPL[{0, 0, 1}, 1 - u]*((377*s[5])/66 + (247*s[6])/33 + 
       (47513*s[7])/792 - (1703*s[8])/396 - (1819*s[9])/36 - (623*s[10])/36 - 
       (14941*s[11])/264 - (7483*s[12])/132 - (24133*s[13])/792 - 
       (3087*s[14])/88 - (6283*s[15])/72 - (38009*s[16])/396 - 
       (71153*s[17])/792 - (481*s[18])/27 + (55*s[19])/108 - 
       (162857*s[20])/1188 - (40903*s[21])/792 + (70357*s[22])/2376 + 
       (4661*s[23])/198 + (71513*s[24])/1188 - (228185*s[25])/3564 + 
       (151685*s[26])/3564 + (16*s[37])/3 - (35*s[43])/33 - (359*s[44])/132 + 
       (377*s[45])/33 - (640*s[46])/11 + (1433*s[47])/396 + 
       (1829*s[48])/396 + (3643*s[49])/396 + (1426*s[50])/33 + 
       (1211*s[51])/396 + (3607*s[52])/396 - (6827*s[53])/198 + 
       (1244*s[54])/33 - (33259*s[55])/132 - (13537*s[56])/132 - 
       (16427*s[57])/198 - (75461*s[58])/1188 + (52607*s[59])/1188 + 
       (1046459*s[60])/2376 - (168043*s[61])/3564 - 4*s[82]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 1}, 1 - u]*((377*s[5])/66 + 
       (247*s[6])/33 + (47513*s[7])/792 - (1703*s[8])/396 - (1819*s[9])/36 - 
       (623*s[10])/36 - (14941*s[11])/264 - (7483*s[12])/132 - 
       (24133*s[13])/792 - (3087*s[14])/88 - (6283*s[15])/72 - 
       (38009*s[16])/396 - (71153*s[17])/792 - (481*s[18])/27 + 
       (55*s[19])/108 - (162857*s[20])/1188 - (40903*s[21])/792 + 
       (70357*s[22])/2376 + (4661*s[23])/198 + (71513*s[24])/1188 - 
       (228185*s[25])/3564 + (151685*s[26])/3564 + (16*s[37])/3 - 
       (35*s[43])/33 - (359*s[44])/132 + (377*s[45])/33 - (640*s[46])/11 + 
       (1433*s[47])/396 + (1829*s[48])/396 + (3643*s[49])/396 + 
       (1426*s[50])/33 + (1211*s[51])/396 + (3607*s[52])/396 - 
       (6827*s[53])/198 + (1244*s[54])/33 - (33259*s[55])/132 - 
       (13537*s[56])/132 - (16427*s[57])/198 - (75461*s[58])/1188 + 
       (52607*s[59])/1188 + (1046459*s[60])/2376 - (168043*s[61])/3564 - 
       4*s[82]) + HPL[{1}, 1 - u]^2*M1[u, v, w]*((-359*s[5])/132 + 
       (509*s[6])/66 - (36995*s[7])/1584 + (1253*s[8])/792 + (1585*s[9])/72 + 
       (1361*s[10])/72 + (10303*s[11])/528 + (2713*s[12])/264 - 
       (19025*s[13])/1584 - (739*s[14])/176 + (8425*s[15])/144 + 
       (42935*s[16])/792 + (101747*s[17])/1584 - (29*s[18])/54 + 
       (4091*s[19])/216 + (157499*s[20])/2376 + (2229*s[21])/176 - 
       (62167*s[22])/4752 - (12467*s[23])/396 - (92555*s[24])/2376 + 
       (20347*s[25])/792 - (4855*s[26])/792 + (8*s[37])/3 + (221*s[43])/66 + 
       (845*s[44])/264 - (359*s[45])/66 + (270*s[46])/11 + (1885*s[47])/792 + 
       (10993*s[48])/792 + (2903*s[49])/792 - (1319*s[50])/33 - 
       (4505*s[51])/792 + (4307*s[52])/792 + (12329*s[53])/396 + 
       (932*s[54])/33 + (14587*s[55])/88 - (3533*s[56])/264 + 
       (32705*s[57])/396 - (1633*s[58])/2376 - (50069*s[59])/2376 - 
       (1322825*s[60])/4752 + (7129*s[61])/792 - 4*s[82]) + 
     HPL[{1}, 1 - u]^4*HPL[{0, 1, 1}, 1 - w]*((113*s[5])/44 + (63*s[6])/11 + 
       (163739*s[7])/6336 - (6583*s[8])/9504 - (18515*s[9])/864 - 
       (5353*s[10])/864 - (151171*s[11])/6336 - (4657*s[12])/198 - 
       (104807*s[13])/6336 - (115717*s[14])/6336 - (2341*s[15])/64 - 
       (133951*s[16])/3168 - (28229*s[17])/704 - (6499*s[18])/648 + 
       (8857*s[19])/2592 - (1672061*s[20])/28512 - (1669009*s[21])/57024 + 
       (682553*s[22])/57024 + (43301*s[23])/3168 + (285893*s[24])/14256 - 
       (6129473*s[25])/256608 + (5921321*s[26])/256608 + (107*s[37])/36 + 
       (559*s[43])/264 + (85*s[44])/176 + (113*s[45])/22 - (6881*s[46])/264 + 
       (1417*s[47])/792 + (2837*s[48])/396 + (479*s[49])/792 + 
       (3197*s[50])/264 - (659*s[51])/264 + (8497*s[52])/1584 - 
       (19741*s[53])/1584 + (3361*s[54])/132 - (86525*s[55])/792 - 
       (15223*s[56])/264 - (16391*s[57])/396 - (4039*s[58])/132 + 
       (4789*s[59])/198 + (217555*s[60])/1188 - (445541*s[61])/21384 - 
       (13*s[82])/4) + HPL[{1}, 1 - u]^2*M1[w, u, v]*
      ((-13*s[5])/22 + (37*s[6])/11 - (2209*s[7])/528 + (421*s[8])/792 + 
       (341*s[9])/72 + (415*s[10])/72 + (1981*s[11])/528 - (4*s[12])/33 - 
       (1285*s[13])/176 - (1973*s[14])/528 + (943*s[15])/48 + 
       (1125*s[16])/88 + (9683*s[17])/528 - (179*s[18])/54 + 
       (1853*s[19])/216 + (37463*s[20])/2376 - (17*s[21])/4752 - 
       (14183*s[22])/4752 - (155*s[23])/88 - (9385*s[24])/594 + 
       (132749*s[25])/21384 + (22159*s[26])/21384 + (5*s[37])/3 + 
       (43*s[43])/22 + (67*s[44])/44 - (13*s[45])/11 + (107*s[46])/22 + 
       (29*s[47])/22 + (161*s[48])/22 + (45*s[49])/22 - (321*s[50])/22 - 
       (191*s[51])/66 + (153*s[52])/44 + (459*s[53])/44 + (201*s[54])/11 + 
       (1543*s[55])/33 - (195*s[56])/11 + (830*s[57])/33 - (1349*s[58])/198 - 
       (329*s[59])/99 - (2690*s[60])/33 - (607*s[61])/891 - 3*s[82]) + 
     HPL[{1}, 1 - v]^5*HPL[{0, 1}, 1 - v]*((-219*s[5])/22 - 
       (11995*s[6])/1056 - (14733*s[7])/176 + (13139*s[8])/3168 + 
       (22189*s[9])/288 + (2027*s[10])/72 + (59689*s[11])/704 + 
       (167581*s[12])/2112 + (43037*s[13])/1056 + (1349*s[14])/33 + 
       (4741*s[15])/36 + (80225*s[16])/528 + (100043*s[17])/704 + 
       (25331*s[18])/864 - (2411*s[19])/864 + (1937425*s[20])/9504 + 
       (923401*s[21])/9504 - (421901*s[22])/9504 - (200903*s[23])/2112 - 
       (1459195*s[24])/19008 + (14857487*s[25])/171072 - 
       (12768677*s[26])/171072 + (3*s[37])/4 - (5*s[38])/3 + (145*s[39])/12 - 
       (145*s[40])/12 + (43*s[41])/4 - (59*s[42])/3 - (679*s[43])/132 + 
       (1197*s[44])/176 - (1121*s[45])/132 + (3699*s[46])/44 - 
       (7681*s[47])/1056 + (11723*s[48])/1056 + (32305*s[49])/1056 - 
       (35473*s[50])/528 - (39581*s[51])/3168 - (4867*s[52])/528 + 
       (1636*s[53])/33 - (69*s[54])/22 + (321317*s[55])/1056 + 
       (93499*s[56])/1056 - (53963*s[57])/396 + (1454489*s[58])/9504 - 
       (1476611*s[59])/9504 - (3902323*s[60])/6336 + (959213*s[61])/21384 - 
       3*s[82]) + HPL[{1}, 1 - w]^5*HPL[{0, 1}, 1 - w]*
      ((-43*s[4])/4 + (79*s[5])/44 - (1945*s[6])/352 - (74483*s[7])/1056 + 
       (46997*s[8])/3168 + (14827*s[9])/288 + (1573*s[10])/144 + 
       (167693*s[11])/2112 + (207137*s[12])/2112 + (14909*s[13])/264 - 
       (31643*s[14])/1056 + (26285*s[15])/288 + (21095*s[16])/176 + 
       (146591*s[17])/2112 + (8747*s[18])/864 + (9979*s[19])/864 + 
       (1009135*s[20])/9504 + (138581*s[21])/4752 - (169651*s[22])/4752 - 
       (359699*s[23])/2112 - (1315843*s[24])/19008 + 
       (20050103*s[25])/171072 - (8640245*s[26])/171072 + (3*s[37])/4 - 
       (5*s[38])/3 + (145*s[39])/12 - (145*s[40])/12 + (43*s[41])/4 - 
       (59*s[42])/3 - (679*s[43])/132 + (1197*s[44])/176 - (1121*s[45])/132 + 
       (3699*s[46])/44 - (7681*s[47])/1056 + (11723*s[48])/1056 + 
       (32305*s[49])/1056 - (35473*s[50])/528 - (39581*s[51])/3168 - 
       (4867*s[52])/528 + (1636*s[53])/33 - (69*s[54])/22 + 
       (321317*s[55])/1056 + (93499*s[56])/1056 - (53963*s[57])/396 + 
       (1454489*s[58])/9504 - (1476611*s[59])/9504 - (3902323*s[60])/6336 + 
       (959213*s[61])/21384 - 3*s[82]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1, 0, 1}, 1 - u]*((-454*s[5])/11 - (581*s[6])/22 - 
       (17055*s[7])/44 + (637*s[8])/33 + (2035*s[9])/6 + (451*s[10])/3 + 
       (3837*s[11])/11 + (3109*s[12])/11 + (2869*s[13])/22 + 
       (4119*s[14])/22 + (8987*s[15])/12 + (32141*s[16])/44 + 
       (8904*s[17])/11 + (1043*s[18])/18 + (1663*s[19])/18 + 
       (92588*s[20])/99 + (37214*s[21])/99 - (19033*s[22])/99 - 
       (5309*s[23])/44 - (190183*s[24])/396 + (687217*s[25])/1782 - 
       (510781*s[26])/1782 - 14*s[37] - (227*s[43])/11 + (73*s[44])/22 - 
       (908*s[45])/11 + (4313*s[46])/11 + (197*s[47])/22 + (131*s[48])/22 + 
       (1983*s[49])/22 - (3732*s[50])/11 + (1517*s[51])/66 - (51*s[52])/22 + 
       (7019*s[53])/22 - (178*s[54])/11 + (142897*s[55])/66 + 
       (9181*s[56])/22 + (35380*s[57])/33 + (44309*s[58])/198 - 
       (81911*s[59])/198 - (469475*s[60])/132 + (188281*s[61])/891 - 
       3*s[82]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((863*s[5])/132 + (182*s[6])/33 + (99575*s[7])/1584 - (2765*s[8])/792 - 
       (3925*s[9])/72 - (1613*s[10])/72 - (30079*s[11])/528 - 
       (12853*s[12])/264 - (38887*s[13])/1584 - (5717*s[14])/176 - 
       (16597*s[15])/144 - (90665*s[16])/792 - (195251*s[17])/1584 - 
       (631*s[18])/54 - (2315*s[19])/216 - (355307*s[20])/2376 - 
       (98957*s[21])/1584 + (147343*s[22])/4752 + (2240*s[23])/99 + 
       (169649*s[24])/2376 - (441571*s[25])/7128 + (341923*s[26])/7128 + 
       4*s[37] + (169*s[43])/66 - (569*s[44])/264 + (863*s[45])/66 - 
       (691*s[46])/11 + (71*s[47])/792 + (1259*s[48])/792 - 
       (7451*s[49])/792 + (1709*s[50])/33 - (2587*s[51])/792 - 
       (647*s[52])/792 - (18983*s[53])/396 + (373*s[54])/33 - 
       (88109*s[55])/264 - (21007*s[56])/264 - (58325*s[57])/396 - 
       (115619*s[58])/2376 + (165089*s[59])/2376 + (2580245*s[60])/4752 - 
       (272225*s[61])/7128 - 2*s[82]) + HPL[{1}, 1 - u]^2*M1[v, w, u]*
      ((37*s[5])/66 + (113*s[6])/33 + (8477*s[7])/1584 + (317*s[8])/792 - 
       (287*s[9])/72 + (59*s[10])/72 - (769*s[11])/176 - (203*s[12])/44 - 
       (12937*s[13])/1584 - (3785*s[14])/528 - (691*s[15])/144 - 
       (6761*s[16])/792 - (13151*s[17])/1584 - (31*s[18])/9 + 
       (271*s[19])/72 - (7483*s[20])/792 - (53357*s[21])/4752 + 
       (8381*s[22])/4752 + (853*s[23])/792 - (388*s[24])/297 - 
       (42457*s[25])/21384 + (184837*s[26])/21384 + (5*s[37])/3 + 
       (211*s[43])/66 + (251*s[44])/132 + (37*s[45])/33 - (119*s[46])/22 + 
       (34*s[47])/99 + (628*s[48])/99 - (421*s[49])/99 - (293*s[50])/66 - 
       (458*s[51])/99 + (809*s[52])/396 - (59*s[53])/396 + (412*s[54])/33 - 
       (1445*s[55])/66 - (1453*s[56])/66 - (1583*s[57])/99 - 
       (2149*s[58])/297 + (5969*s[59])/594 + (32297*s[60])/1188 - 
       (2017*s[61])/594 - 2*s[82]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{0, 1, 1}, 1 - v]*((25*s[5])/22 - (257*s[6])/88 + (8069*s[7])/396 - 
       (2263*s[8])/2376 - (3665*s[9])/216 - (272*s[10])/27 - 
       (21691*s[11])/1584 - (9029*s[12])/1584 - (1009*s[13])/792 - 
       (743*s[14])/198 - (440*s[15])/9 - (17645*s[16])/396 - 
       (34099*s[17])/528 + (5081*s[18])/648 - (12581*s[19])/648 - 
       (285233*s[20])/7128 - (44201*s[21])/7128 + (73885*s[22])/7128 - 
       (22457*s[23])/1584 + (576923*s[24])/14256 - (3050683*s[25])/128304 + 
       (904705*s[26])/128304 + (29*s[37])/9 - (5*s[38])/3 + 2*s[39] - 
       2*s[40] + s[41]/3 - (7*s[42])/3 + (181*s[43])/33 + (89*s[44])/132 + 
       (80*s[45])/11 - (634*s[46])/33 - (2699*s[47])/792 + (1657*s[48])/792 - 
       (17797*s[49])/792 + (3043*s[50])/132 - (5989*s[51])/792 - 
       (2423*s[52])/396 - (2887*s[53])/99 - (932*s[54])/33 - 
       (133153*s[55])/792 + (2675*s[56])/264 - (16286*s[57])/99 + 
       (3499*s[58])/88 + (4399*s[59])/792 + (1280167*s[60])/4752 + 
       (1862*s[61])/891 - 2*s[82]) + HPL[{1}, 1 - u]^3*Omega2[v, w, u]*
      ((-239*s[5])/66 - (61*s[6])/33 - (27419*s[7])/792 + (761*s[8])/396 + 
       (1087*s[9])/36 + (491*s[10])/36 + (8335*s[11])/264 + (871*s[12])/33 + 
       (9505*s[13])/792 + (1423*s[14])/88 + (4729*s[15])/72 + 
       (12967*s[16])/198 + (56315*s[17])/792 + (136*s[18])/27 + 
       (929*s[19])/108 + (99383*s[20])/1188 + (25471*s[21])/792 - 
       (41293*s[22])/2376 - (964*s[23])/99 - (52589*s[24])/1188 + 
       (31655*s[25])/891 - (44041*s[26])/1782 - (46*s[43])/33 + 
       (59*s[44])/132 - (239*s[45])/33 + (383*s[46])/11 + (157*s[47])/396 + 
       (157*s[48])/396 + (3335*s[49])/396 - (1027*s[50])/33 + 
       (727*s[51])/396 - (67*s[52])/396 + (2785*s[53])/99 + (34*s[54])/33 + 
       (25217*s[55])/132 + (4987*s[56])/132 + (18113*s[57])/198 + 
       (23363*s[58])/1188 - (40937*s[59])/1188 - (765725*s[60])/2376 + 
       (68809*s[61])/3564 - 2*s[82]) + HPL[{1}, 1 - u]^4*
      HPL[{0, 0, 1}, 1 - w]*((-545*s[5])/132 - (5*s[6])/33 - 
       (26461*s[7])/704 + (20489*s[8])/9504 + (29149*s[9])/864 + 
       (14951*s[10])/864 + (212669*s[11])/6336 + (9733*s[12])/396 + 
       (38921*s[13])/6336 + (90539*s[14])/6336 + (46675*s[15])/576 + 
       (232825*s[16])/3168 + (540371*s[17])/6336 + (1733*s[18])/648 + 
       (36841*s[19])/2592 + (2683267*s[20])/28512 + (1881503*s[21])/57024 - 
       (1095415*s[22])/57024 - (37979*s[23])/3168 - (766603*s[24])/14256 + 
       (9984871*s[25])/256608 - (6335695*s[26])/256608 - (5*s[37])/18 - 
       (35*s[43])/88 + (655*s[44])/528 - (545*s[45])/66 + (10135*s[46])/264 + 
       (1325*s[47])/792 + (2395*s[48])/396 + (6475*s[49])/792 - 
       (10715*s[50])/264 - (365*s[51])/792 + (3425*s[52])/1584 + 
       (57355*s[53])/1584 + (435*s[54])/44 + (179215*s[55])/792 + 
       (2135*s[56])/88 + (5045*s[57])/44 + (17755*s[58])/1188 - 
       (11620*s[59])/297 - (109840*s[60])/297 + (396295*s[61])/21384 - 
       (5*s[82])/4) + HPL[{1}, 1 - u]^5*HPL[{0, 1}, 1 - u]*
      ((377*s[5])/264 + (247*s[6])/132 + (47513*s[7])/3168 - 
       (1703*s[8])/1584 - (1819*s[9])/144 - (623*s[10])/144 - 
       (14941*s[11])/1056 - (7483*s[12])/528 - (24133*s[13])/3168 - 
       (3087*s[14])/352 - (6283*s[15])/288 - (38009*s[16])/1584 - 
       (71153*s[17])/3168 - (481*s[18])/108 + (55*s[19])/432 - 
       (162857*s[20])/4752 - (40903*s[21])/3168 + (70357*s[22])/9504 + 
       (4661*s[23])/792 + (71513*s[24])/4752 - (228185*s[25])/14256 + 
       (151685*s[26])/14256 + (4*s[37])/3 - (35*s[43])/132 - 
       (359*s[44])/528 + (377*s[45])/132 - (160*s[46])/11 + 
       (1433*s[47])/1584 + (1829*s[48])/1584 + (3643*s[49])/1584 + 
       (713*s[50])/66 + (1211*s[51])/1584 + (3607*s[52])/1584 - 
       (6827*s[53])/792 + (311*s[54])/33 - (33259*s[55])/528 - 
       (13537*s[56])/528 - (16427*s[57])/792 - (75461*s[58])/4752 + 
       (52607*s[59])/4752 + (1046459*s[60])/9504 - (168043*s[61])/14256 - 
       s[82]) + HPL[{1}, 1 - u]^2*Nt[u, v, w]*((-239*s[5])/132 - 
       (61*s[6])/66 - (27419*s[7])/1584 + (761*s[8])/792 + (1087*s[9])/72 + 
       (491*s[10])/72 + (8335*s[11])/528 + (871*s[12])/66 + 
       (9505*s[13])/1584 + (1423*s[14])/176 + (4729*s[15])/144 + 
       (12967*s[16])/396 + (56315*s[17])/1584 + (68*s[18])/27 + 
       (929*s[19])/216 + (99383*s[20])/2376 + (25471*s[21])/1584 - 
       (41293*s[22])/4752 - (482*s[23])/99 - (52589*s[24])/2376 + 
       (31655*s[25])/1782 - (44041*s[26])/3564 - (23*s[43])/33 + 
       (59*s[44])/264 - (239*s[45])/66 + (383*s[46])/22 + (157*s[47])/792 + 
       (157*s[48])/792 + (3335*s[49])/792 - (1027*s[50])/66 + 
       (727*s[51])/792 - (67*s[52])/792 + (2785*s[53])/198 + (17*s[54])/33 + 
       (25217*s[55])/264 + (4987*s[56])/264 + (18113*s[57])/396 + 
       (23363*s[58])/2376 - (40937*s[59])/2376 - (765725*s[60])/4752 + 
       (68809*s[61])/7128 - s[82]) + HPL[{1}, 1 - u]^2*Ot[u, v, w]*
      ((-1049*s[5])/132 - (161*s[6])/33 - (118061*s[7])/1584 + 
       (2927*s[8])/792 + (4699*s[9])/72 + (2099*s[10])/72 + 
       (35413*s[11])/528 + (14293*s[12])/264 + (39265*s[13])/1584 + 
       (6283*s[14])/176 + (20839*s[15])/144 + (111725*s[16])/792 + 
       (248009*s[17])/1584 + (293*s[18])/27 + (3953*s[19])/216 + 
       (428009*s[20])/2376 + (114491*s[21])/1584 - (175873*s[22])/4752 - 
       (2276*s[23])/99 - (220967*s[24])/2376 + (528643*s[25])/7128 - 
       (392059*s[26])/7128 - (8*s[37])/3 - (265*s[43])/66 + (167*s[44])/264 - 
       (1049*s[45])/66 + (830*s[46])/11 + (1459*s[47])/792 + 
       (1063*s[48])/792 + (14345*s[49])/792 - (2168*s[50])/33 + 
       (3625*s[51])/792 - (127*s[52])/792 + (24455*s[53])/396 - 
       (52*s[54])/33 + (110503*s[55])/264 + (20869*s[56])/264 + 
       (82355*s[57])/396 + (100193*s[58])/2376 - (189731*s[59])/2376 - 
       (3270599*s[60])/4752 + (286475*s[61])/7128 - s[82]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1, 0, 1, 1}, 1 - u]*((-3077*s[5])/132 - 
       (443*s[6])/33 - (336761*s[7])/1584 + (7427*s[8])/792 + 
       (13519*s[9])/72 + (6167*s[10])/72 + (99217*s[11])/528 + 
       (37441*s[12])/264 + (100717*s[13])/1584 + (17615*s[14])/176 + 
       (62731*s[15])/144 + (326465*s[16])/792 + (750965*s[17])/1584 + 
       (671*s[18])/27 + (13133*s[19])/216 + (1228181*s[20])/2376 + 
       (338399*s[21])/1584 - (498541*s[22])/4752 - (5993*s[23])/99 - 
       (645731*s[24])/2376 + (1464583*s[25])/7128 - (1143103*s[26])/7128 - 
       (16*s[37])/3 - (1069*s[43])/66 - (469*s[44])/264 - (3077*s[45])/66 + 
       (2386*s[46])/11 + (6823*s[47])/792 + (4843*s[48])/792 + 
       (52901*s[49])/792 - (6272*s[50])/33 + (14917*s[51])/792 + 
       (4157*s[52])/792 + (74243*s[53])/396 + (380*s[54])/33 + 
       (331787*s[55])/264 + (53233*s[56])/264 + (263831*s[57])/396 + 
       (231197*s[58])/2376 - (581015*s[59])/2376 - (9595403*s[60])/4752 + 
       (736751*s[61])/7128 - s[82]) + HPL[{1}, 1 - u]^5*HPL[{0, 1}, 1 - v]*
      ((-46*s[5])/33 + (8*s[6])/33 - (21523*s[7])/1584 + (937*s[8])/792 + 
       (869*s[9])/72 + (433*s[10])/72 + (6641*s[11])/528 + (695*s[12])/66 + 
       (3851*s[13])/1584 + (873*s[14])/176 + (3821*s[15])/144 + 
       (19543*s[16])/792 + (42433*s[17])/1584 + (145*s[18])/108 + 
       (955*s[19])/216 + (79495*s[20])/2376 + (15109*s[21])/1584 - 
       (33923*s[22])/4752 - (3317*s[23])/792 - (5783*s[24])/297 + 
       (110285*s[25])/7128 - (53927*s[26])/7128 + (32*s[43])/33 + 
       (301*s[44])/264 - (92*s[45])/33 + (295*s[46])/22 + (113*s[47])/792 + 
       (2291*s[48])/792 - (185*s[49])/792 - (508*s[50])/33 - 
       (1429*s[51])/792 + (175*s[52])/792 + (4789*s[53])/396 + 
       (155*s[54])/66 + (19255*s[55])/264 + (2501*s[56])/264 + 
       (12283*s[57])/396 + (18457*s[58])/2376 - (25669*s[59])/2376 - 
       (592321*s[60])/4752 + (58051*s[61])/7128 - s[82]/2) + 
     HPL[{1}, 1 - u]^5*HPL[{1}, 1 - v]^2*((-23*s[5])/33 + (4*s[6])/33 - 
       (21523*s[7])/3168 + (937*s[8])/1584 + (869*s[9])/144 + 
       (433*s[10])/144 + (6641*s[11])/1056 + (695*s[12])/132 + 
       (3851*s[13])/3168 + (873*s[14])/352 + (3821*s[15])/288 + 
       (19543*s[16])/1584 + (42433*s[17])/3168 + (145*s[18])/216 + 
       (955*s[19])/432 + (79495*s[20])/4752 + (15109*s[21])/3168 - 
       (33923*s[22])/9504 - (3317*s[23])/1584 - (5783*s[24])/594 + 
       (110285*s[25])/14256 - (53927*s[26])/14256 + (16*s[43])/33 + 
       (301*s[44])/528 - (46*s[45])/33 + (295*s[46])/44 + (113*s[47])/1584 + 
       (2291*s[48])/1584 - (185*s[49])/1584 - (254*s[50])/33 - 
       (1429*s[51])/1584 + (175*s[52])/1584 + (4789*s[53])/792 + 
       (155*s[54])/132 + (19255*s[55])/528 + (2501*s[56])/528 + 
       (12283*s[57])/792 + (18457*s[58])/4752 - (25669*s[59])/4752 - 
       (592321*s[60])/9504 + (58051*s[61])/14256 - s[82]/4) + 
     HPL[{1}, 1 - u]^4*HPL[{0, 1, 1}, 1 - v]*((3829*s[5])/792 + 
       (713*s[6])/396 + (903605*s[7])/19008 - (35899*s[8])/9504 - 
       (35891*s[9])/864 - (15637*s[10])/864 - (92089*s[11])/2112 - 
       (9979*s[12])/264 - (282373*s[13])/19008 - (136733*s[14])/6336 - 
       (150427*s[15])/1728 - (803483*s[16])/9504 - (1721375*s[17])/19008 - 
       (1447*s[18])/216 - (3163*s[19])/288 - (1074203*s[20])/9504 - 
       (2173841*s[21])/57024 + (1380233*s[22])/57024 + (114121*s[23])/9504 + 
       (217835*s[24])/3564 - (13194667*s[25])/256608 + 
       (7794271*s[26])/256608 + (3*s[37])/4 - (533*s[43])/792 - 
       (865*s[44])/396 + (3829*s[45])/396 - (12281*s[46])/264 - 
       (923*s[47])/4752 - (20921*s[48])/4752 - (11641*s[49])/4752 + 
       (35971*s[50])/792 + (10663*s[51])/4752 + (989*s[52])/1188 - 
       (182513*s[53])/4752 + (763*s[54])/396 - (391855*s[55])/1584 - 
       (73673*s[56])/1584 - (261871*s[57])/2376 - (428047*s[58])/14256 + 
       (595153*s[59])/14256 + (11835445*s[60])/28512 - 
       (1211887*s[61])/42768 + s[82]/12) + HPL[{1}, 1 - w]^4*
      HPL[{0, 1, 1}, 1 - v]*((-115*s[4])/4 + (589*s[5])/176 - 
       (36115*s[6])/2112 - (1168121*s[7])/6336 + (25013*s[8])/704 + 
       (8779*s[9])/64 + (2909*s[10])/96 + (864553*s[11])/4224 + 
       (3044815*s[12])/12672 + (27637*s[13])/198 - (152707*s[14])/2112 + 
       (445811*s[15])/1728 + (112641*s[16])/352 + (2711473*s[17])/12672 + 
       (29459*s[18])/1728 + (72583*s[19])/1728 + (5332699*s[20])/19008 + 
       (240863*s[21])/3168 - (32555*s[22])/352 - (5237189*s[23])/12672 - 
       (7509839*s[24])/38016 + (103990639*s[25])/342144 - 
       (44939749*s[26])/342144 + s[37]/3 - (245*s[38])/72 + (547*s[39])/18 - 
       (1097*s[40])/36 + (115*s[41])/4 - (3605*s[42])/72 - 
       (16195*s[43])/792 + (4439*s[44])/264 - (2416*s[45])/99 + 
       (2457*s[46])/11 - (103969*s[47])/6336 + (158315*s[48])/6336 + 
       (623185*s[49])/6336 - (560947*s[50])/3168 - (521573*s[51])/19008 - 
       (32255*s[52])/1584 + (112399*s[53])/792 + (58*s[54])/11 + 
       (5377805*s[55])/6336 + (1344619*s[56])/6336 - (1286335*s[57])/4752 + 
       (20678765*s[58])/57024 - (22907111*s[59])/57024 - 
       (64564603*s[60])/38016 + (27266191*s[61])/256608 + s[82]/2) + 
     HPL[{1}, 1 - u]^5*HPL[{1}, 1 - w]^2*((-3*s[5])/176 - (93*s[6])/88 - 
       (1489*s[7])/2112 - (19*s[8])/352 + (9*s[9])/32 - (27*s[10])/32 + 
       (553*s[11])/704 + (641*s[12])/352 + (5477*s[13])/2112 + 
       (1341*s[14])/704 - (151*s[15])/64 - (359*s[16])/1056 - 
       (4571*s[17])/2112 + (14*s[18])/9 - (655*s[19])/288 + 
       (1289*s[20])/3168 + (10685*s[21])/6336 - (93*s[22])/704 - 
       (28*s[23])/33 + (2335*s[24])/1056 + (7615*s[25])/28512 - 
       (43831*s[26])/28512 - (2*s[37])/3 - (31*s[43])/88 - (81*s[44])/352 - 
       (3*s[45])/88 + (25*s[46])/44 - (553*s[47])/1056 - (2137*s[48])/1056 - 
       (1091*s[49])/1056 + (101*s[50])/44 + (183*s[51])/352 - 
       (1319*s[52])/1056 - (917*s[53])/528 - (259*s[54])/44 - 
       (5251*s[55])/1056 + (2845*s[56])/352 - (2713*s[57])/528 + 
       (4283*s[58])/1056 - (47*s[59])/352 + (46061*s[60])/6336 + 
       (51941*s[61])/28512 + (3*s[82])/4) + 6*D19[u, v, w]*s[82] + 
     HPL[{1}, 1 - u]^2*M1[v, u, w]*((281*s[5])/132 - (89*s[6])/66 + 
       (15151*s[7])/792 - (179*s[8])/132 - (211*s[9])/12 - (31*s[10])/3 - 
       (2273*s[11])/132 - (3119*s[12])/264 + (661*s[13])/792 - 
       (1319*s[14])/264 - (3239*s[15])/72 - (15019*s[16])/396 - 
       (17795*s[17])/396 - (10*s[18])/27 - (511*s[19])/54 - 
       (59765*s[20])/1188 - (34445*s[21])/2376 + (2689*s[22])/264 + 
       (5917*s[23])/792 + (24601*s[24])/792 - (112427*s[25])/5346 + 
       (28291*s[26])/2673 - s[37] - (46*s[43])/33 - (443*s[44])/264 + 
       (281*s[45])/66 - (433*s[46])/22 - (841*s[47])/792 - (5197*s[48])/792 - 
       (1283*s[49])/792 + (1675*s[50])/66 + (2213*s[51])/792 - 
       (1553*s[52])/792 - (4099*s[53])/198 - (329*s[54])/33 - 
       (31417*s[55])/264 - (1147*s[56])/264 - (22745*s[57])/396 - 
       (14555*s[58])/2376 + (42173*s[59])/2376 + (935465*s[60])/4752 - 
       (69017*s[61])/7128 + s[82]) + HPL[{1}, 1 - v]^5*HPL[{1}, 1 - w]^2*
      ((39*s[5])/16 + (9*s[6])/4 + (39*s[7])/2 - (143*s[8])/144 - 
       (1291*s[9])/72 - (973*s[10])/144 - (1919*s[11])/96 - (1813*s[12])/96 - 
       (71*s[13])/8 - (149*s[14])/16 - (575*s[15])/18 - (1775*s[16])/48 - 
       (3337*s[17])/96 - (335*s[18])/54 - (131*s[19])/432 - 
       (21133*s[20])/432 - (4913*s[21])/216 + (2251*s[22])/216 + 
       (2303*s[23])/96 + (17179*s[24])/864 - (160787*s[25])/7776 + 
       (133859*s[26])/7776 + s[37]/6 + (29*s[38])/48 - (71*s[39])/24 + 
       (71*s[40])/24 - (5*s[41])/2 + (215*s[42])/48 + (23*s[43])/12 - 
       (69*s[44])/32 + (41*s[45])/24 - (39*s[46])/2 + (37*s[47])/32 - 
       (103*s[48])/96 - (1081*s[49])/96 + (253*s[50])/16 + (625*s[51])/288 + 
       (113*s[52])/96 - (145*s[53])/12 - (73*s[54])/24 - (6955*s[55])/96 - 
       (1657*s[56])/96 + (1973*s[57])/72 - (28219*s[58])/864 + 
       (31531*s[59])/864 + (91637*s[60])/576 - (33107*s[61])/3888 + 
       (3*s[82])/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^5*
      ((3*s[4])/4 - (5*s[5])/88 - (103*s[6])/176 + (7499*s[7])/1056 - 
       (2771*s[8])/1584 - (95*s[9])/18 - (257*s[10])/144 - 
       (8015*s[11])/1056 - (2605*s[12])/264 - (1587*s[13])/352 + 
       (3097*s[14])/1056 - (917*s[15])/96 - (1663*s[16])/132 - 
       (2383*s[17])/352 - (845*s[18])/432 - (125*s[19])/216 - 
       (3793*s[20])/297 - (35939*s[21])/9504 + (35833*s[22])/9504 + 
       (2417*s[23])/132 + (28139*s[24])/4752 - (56501*s[25])/5346 + 
       (199945*s[26])/42768 - s[37]/12 + (3*s[38])/16 - s[39] + s[40] - 
       (3*s[41])/4 + (27*s[42])/16 - (41*s[43])/88 - (51*s[44])/88 + 
       (39*s[45])/44 - (651*s[46])/88 + (479*s[47])/528 - (175*s[48])/88 - 
       (317*s[49])/264 + (3919*s[50])/528 + (193*s[51])/132 + 
       (175*s[52])/264 - (295*s[53])/66 - (241*s[54])/264 - 
       (15667*s[55])/528 - (4321*s[56])/528 + (2037*s[57])/176 - 
       (2929*s[58])/198 + (21119*s[59])/1584 + (20013*s[60])/352 - 
       (141863*s[61])/28512 + (3*s[82])/2) + HPL[{1}, 1 - u]^5*
      HPL[{0, 1}, 1 - w]*((-3*s[5])/88 - (93*s[6])/44 - (1489*s[7])/1056 - 
       (19*s[8])/176 + (9*s[9])/16 - (27*s[10])/16 + (553*s[11])/352 + 
       (641*s[12])/176 + (5477*s[13])/1056 + (1341*s[14])/352 - 
       (151*s[15])/32 - (359*s[16])/528 - (4571*s[17])/1056 + (28*s[18])/9 - 
       (655*s[19])/144 + (1289*s[20])/1584 + (10685*s[21])/3168 - 
       (93*s[22])/352 - (56*s[23])/33 + (2335*s[24])/528 + 
       (7615*s[25])/14256 - (43831*s[26])/14256 - (4*s[37])/3 - 
       (31*s[43])/44 - (81*s[44])/176 - (3*s[45])/44 + (25*s[46])/22 - 
       (553*s[47])/528 - (2137*s[48])/528 - (1091*s[49])/528 + 
       (101*s[50])/22 + (183*s[51])/176 - (1319*s[52])/528 - 
       (917*s[53])/264 - (259*s[54])/22 - (5251*s[55])/528 + 
       (2845*s[56])/176 - (2713*s[57])/264 + (4283*s[58])/528 - 
       (47*s[59])/176 + (46061*s[60])/3168 + (51941*s[61])/14256 + 
       (3*s[82])/2) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((3515*s[5])/264 + (11575*s[6])/1056 + (159235*s[7])/1056 - 
       (77603*s[8])/9504 - (112165*s[9])/864 - (1525*s[10])/27 - 
       (875207*s[11])/6336 - (755695*s[12])/6336 - (91343*s[13])/1584 - 
       (225043*s[14])/3168 - (25843*s[15])/96 - (425345*s[16])/1584 - 
       (1813997*s[17])/6336 - (61661*s[18])/2592 - (85009*s[19])/2592 - 
       (10110751*s[20])/28512 - (976861*s[21])/7128 + (1065793*s[22])/14256 + 
       (216289*s[23])/6336 + (10406785*s[24])/57024 - 
       (80295221*s[25])/513216 + (55860995*s[26])/513216 + (37*s[37])/18 - 
       (5*s[38])/6 + (3*s[39])/8 - (3*s[40])/8 - (31*s[41])/24 - s[42]/24 + 
       (1631*s[43])/264 - (773*s[44])/528 + (8185*s[45])/264 - 
       (4997*s[46])/33 - (12737*s[47])/3168 - (5015*s[48])/3168 - 
       (79027*s[49])/3168 + (23027*s[50])/176 - (4549*s[51])/1056 + 
       (2473*s[52])/1584 - (46273*s[53])/396 + (921*s[54])/44 - 
       (2523439*s[55])/3168 - (57785*s[56])/352 - (102167*s[57])/264 - 
       (937457*s[58])/9504 + (1445519*s[59])/9504 + (25509061*s[60])/19008 - 
       (3639491*s[61])/42768 + (7*s[82])/4) + HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 0, 0, 1}, 1 - v]*((1049*s[5])/66 + (322*s[6])/33 + 
       (118061*s[7])/792 - (2927*s[8])/396 - (4699*s[9])/36 - 
       (2099*s[10])/36 - (35413*s[11])/264 - (14293*s[12])/132 - 
       (39265*s[13])/792 - (6283*s[14])/88 - (20839*s[15])/72 - 
       (111725*s[16])/396 - (248009*s[17])/792 - (586*s[18])/27 - 
       (3953*s[19])/108 - (428009*s[20])/1188 - (114491*s[21])/792 + 
       (175873*s[22])/2376 + (4552*s[23])/99 + (220967*s[24])/1188 - 
       (528643*s[25])/3564 + (392059*s[26])/3564 - s[36] + (16*s[37])/3 + 
       (265*s[43])/33 - (167*s[44])/132 + (1049*s[45])/33 - (1660*s[46])/11 - 
       (1459*s[47])/396 - (1063*s[48])/396 - (14345*s[49])/396 + 
       (4336*s[50])/33 - (3625*s[51])/396 + (127*s[52])/396 - 
       (24455*s[53])/198 + (104*s[54])/33 - (110503*s[55])/132 - 
       (20869*s[56])/132 - (82355*s[57])/198 - (100193*s[58])/1188 + 
       (189731*s[59])/1188 + (3270599*s[60])/2376 - (289511*s[61])/3564 + 
       2*s[82]) + HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((1049*s[5])/66 + (322*s[6])/33 + (118061*s[7])/792 - (2927*s[8])/396 - 
       (4699*s[9])/36 - (2099*s[10])/36 - (35413*s[11])/264 - 
       (14293*s[12])/132 - (39265*s[13])/792 - (6283*s[14])/88 - 
       (20839*s[15])/72 - (111725*s[16])/396 - (248009*s[17])/792 - 
       (586*s[18])/27 - (3953*s[19])/108 - (428009*s[20])/1188 - 
       (114491*s[21])/792 + (175081*s[22])/2376 + (4552*s[23])/99 + 
       (220967*s[24])/1188 - (531679*s[25])/3564 + (395095*s[26])/3564 - 
       s[36] + (16*s[37])/3 + (265*s[43])/33 - (167*s[44])/132 + 
       (1049*s[45])/33 - (1660*s[46])/11 - (1459*s[47])/396 - 
       (1063*s[48])/396 - (14345*s[49])/396 + (4336*s[50])/33 - 
       (3625*s[51])/396 + (127*s[52])/396 - (24455*s[53])/198 + 
       (104*s[54])/33 - (110503*s[55])/132 - (20869*s[56])/132 - 
       (82355*s[57])/198 - (100193*s[58])/1188 + (189731*s[59])/1188 + 
       (3270599*s[60])/2376 - (289511*s[61])/3564 + 2*s[82]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 1}, 1 - u]*((1049*s[5])/66 + 
       (322*s[6])/33 + (118061*s[7])/792 - (2927*s[8])/396 - (4699*s[9])/36 - 
       (2099*s[10])/36 - (35413*s[11])/264 - (14293*s[12])/132 - 
       (39265*s[13])/792 - (6283*s[14])/88 - (20839*s[15])/72 - 
       (111725*s[16])/396 - (248009*s[17])/792 - (586*s[18])/27 - 
       (3953*s[19])/108 - (428009*s[20])/1188 - (114491*s[21])/792 + 
       (175873*s[22])/2376 + (4552*s[23])/99 + (220967*s[24])/1188 - 
       (528643*s[25])/3564 + (392059*s[26])/3564 + (16*s[37])/3 + 
       (265*s[43])/33 - (167*s[44])/132 + (1049*s[45])/33 - (1660*s[46])/11 - 
       (1459*s[47])/396 - (1063*s[48])/396 - (14345*s[49])/396 + 
       (4336*s[50])/33 - (3625*s[51])/396 + (127*s[52])/396 - 
       (24455*s[53])/198 + (104*s[54])/33 - (110503*s[55])/132 - 
       (20869*s[56])/132 - (82355*s[57])/198 - (100193*s[58])/1188 + 
       (189731*s[59])/1188 + (3270599*s[60])/2376 - (286475*s[61])/3564 + 
       2*s[82]) + HPL[{1}, 1 - u]^3*Omega2[u, v, w]*
      ((184*s[5])/33 - (32*s[6])/33 + (42617*s[7])/792 - (577*s[8])/132 - 
       (575*s[9])/12 - (293*s[10])/12 - (13139*s[11])/264 - 
       (5417*s[12])/132 - (6811*s[13])/792 - (5095*s[14])/264 - 
       (7687*s[15])/72 - (19543*s[16])/198 - (85295*s[17])/792 - 
       (149*s[18])/27 - (1933*s[19])/108 - (159001*s[20])/1188 - 
       (91963*s[21])/2376 + (7459*s[22])/264 + (7525*s[23])/396 + 
       (7663*s[24])/99 - (325399*s[25])/5346 + (81083*s[26])/2673 - 
       (128*s[43])/33 - (301*s[44])/66 + (368*s[45])/33 - (590*s[46])/11 - 
       (113*s[47])/198 - (2291*s[48])/198 + (185*s[49])/198 + 
       (2032*s[50])/33 + (1429*s[51])/198 - (175*s[52])/198 - 
       (4789*s[53])/99 - (310*s[54])/33 - (19255*s[55])/66 - 
       (2501*s[56])/66 - (12283*s[57])/99 - (18457*s[58])/594 + 
       (25669*s[59])/594 + (592321*s[60])/1188 - (58051*s[61])/1782 + 
       2*s[82]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((335*s[5])/66 - (65*s[6])/33 + (36149*s[7])/792 - (3521*s[8])/1188 - 
       (4501*s[9])/108 - (2537*s[10])/108 - (32399*s[11])/792 - 
       (11279*s[12])/396 - (107*s[13])/264 - (10907*s[14])/792 - 
       (7591*s[15])/72 - (3953*s[16])/44 - (83953*s[17])/792 - 
       (170*s[18])/81 - (6607*s[19])/324 - (423895*s[20])/3564 - 
       (260027*s[21])/7128 + (170659*s[22])/7128 + (617*s[23])/33 + 
       (254825*s[24])/3564 - (1572157*s[25])/32076 + (859069*s[26])/32076 - 
       (16*s[37])/9 - (73*s[43])/33 - (371*s[44])/132 + (335*s[45])/33 - 
       (1550*s[46])/33 - (233*s[47])/132 - (547*s[48])/44 - (643*s[49])/132 + 
       (626*s[50])/11 + (1967*s[51])/396 - (487*s[52])/132 - 
       (3145*s[53])/66 - (206*s[54])/11 - (110921*s[55])/396 - 
       (835*s[56])/44 - (27107*s[57])/198 - (18445*s[58])/1188 + 
       (49963*s[59])/1188 + (365309*s[60])/792 - (249493*s[61])/10692 + 
       2*s[82]) + HPL[{1}, 1 - u]^2*M1[w, v, u]*((433*s[5])/132 - 
       (85*s[6])/66 + (23099*s[7])/792 - (721*s[8])/396 - (959*s[9])/36 - 
       (269*s[10])/18 - (1137*s[11])/44 - (1523*s[12])/88 - 
       (1213*s[13])/792 - (2357*s[14])/264 - (4891*s[15])/72 - 
       (11731*s[16])/198 - (28147*s[17])/396 - s[18]/18 - (259*s[19])/18 - 
       (29599*s[20])/396 - (57287*s[21])/2376 + (36143*s[22])/2376 + 
       (6581*s[23])/792 + (109295*s[24])/2376 - (329749*s[25])/10692 + 
       (189223*s[26])/10692 - s[37] - (5*s[43])/33 - (343*s[44])/264 + 
       (433*s[45])/66 - (659*s[46])/22 - (1613*s[47])/792 - 
       (5969*s[48])/792 - (6271*s[49])/792 + (2345*s[50])/66 + 
       (841*s[51])/792 - (2689*s[52])/792 - (3097*s[53])/99 - 
       (520*s[54])/33 - (49541*s[55])/264 - (2279*s[56])/264 - 
       (39037*s[57])/396 - (15559*s[58])/2376 + (73945*s[59])/2376 + 
       (1452013*s[60])/4752 - (29455*s[61])/2376 + 2*s[82]) + 
     HPL[{1}, 1 - u]^4*HPL[{0, 0, 1}, 1 - v]*((-1475*s[5])/792 - 
       (1615*s[6])/396 - (343243*s[7])/19008 + (4901*s[8])/9504 + 
       (13021*s[9])/864 + (3419*s[10])/864 + (33767*s[11])/2112 + 
       (3863*s[12])/264 + (234347*s[13])/19008 + (83251*s[14])/6336 + 
       (48485*s[15])/1728 + (296845*s[16])/9504 + (620737*s[17])/19008 + 
       (1169*s[18])/216 - (299*s[19])/288 + (377221*s[20])/9504 + 
       (1251007*s[21])/57024 - (466375*s[22])/57024 - (44183*s[23])/9504 - 
       (52153*s[24])/3564 + (3967229*s[25])/256608 - (4388825*s[26])/256608 - 
       (5*s[37])/2 - (2525*s[43])/792 - (565*s[44])/396 - (1475*s[45])/396 + 
       (4735*s[46])/264 - (1475*s[47])/4752 - (26225*s[48])/4752 + 
       (24335*s[49])/4752 - (5765*s[50])/792 + (20335*s[51])/4752 - 
       (2815*s[52])/1188 + (48775*s[53])/4752 - (5405*s[54])/396 + 
       (139625*s[55])/1584 + (56095*s[56])/1584 + (108905*s[57])/2376 + 
       (221225*s[58])/14256 - (307415*s[59])/14256 - (3930515*s[60])/28512 + 
       (471785*s[61])/42768 + (25*s[82])/12) + HPL[{1}, 1 - v]^5*
      HPL[{0, 1}, 1 - w]*((39*s[5])/8 + (9*s[6])/2 + 39*s[7] - 
       (143*s[8])/72 - (1291*s[9])/36 - (973*s[10])/72 - (1919*s[11])/48 - 
       (1813*s[12])/48 - (71*s[13])/4 - (149*s[14])/8 - (575*s[15])/9 - 
       (1775*s[16])/24 - (3337*s[17])/48 - (335*s[18])/27 - (131*s[19])/216 - 
       (21133*s[20])/216 - (4913*s[21])/108 + (1127*s[22])/54 + 
       (2303*s[23])/48 + (17179*s[24])/432 - (160763*s[25])/3888 + 
       (133835*s[26])/3888 + s[37]/4 + (29*s[38])/24 - (71*s[39])/12 + 
       (71*s[40])/12 - 5*s[41] + (215*s[42])/24 + (23*s[43])/6 - 
       (69*s[44])/16 + (41*s[45])/12 - 39*s[46] + (37*s[47])/16 - 
       (103*s[48])/48 - (1081*s[49])/48 + (253*s[50])/8 + (625*s[51])/144 + 
       (113*s[52])/48 - (145*s[53])/6 - (73*s[54])/12 - (6955*s[55])/48 - 
       (1657*s[56])/48 + (1973*s[57])/36 - (28219*s[58])/432 + 
       (31531*s[59])/432 + (91637*s[60])/288 - (33095*s[61])/1944 + 
       3*s[82]) + HPL[{1}, 1 - w]^5*HPL[{0, 1}, 1 - u]*
      ((3*s[4])/2 - (5*s[5])/44 - (103*s[6])/88 + (7499*s[7])/528 - 
       (2771*s[8])/792 - (95*s[9])/9 - (257*s[10])/72 - (8015*s[11])/528 - 
       (2605*s[12])/132 - (1587*s[13])/176 + (3097*s[14])/528 - 
       (917*s[15])/48 - (1663*s[16])/66 - (2383*s[17])/176 - 
       (845*s[18])/216 - (125*s[19])/108 - (7586*s[20])/297 - 
       (35939*s[21])/4752 + (35833*s[22])/4752 + (2417*s[23])/66 + 
       (28139*s[24])/2376 - (56501*s[25])/2673 + (199945*s[26])/21384 - 
       s[37]/12 + (3*s[38])/8 - 2*s[39] + 2*s[40] - (3*s[41])/2 + 
       (27*s[42])/8 - (41*s[43])/44 - (51*s[44])/44 + (39*s[45])/22 - 
       (651*s[46])/44 + (479*s[47])/264 - (175*s[48])/44 - (317*s[49])/132 + 
       (3919*s[50])/264 + (193*s[51])/66 + (175*s[52])/132 - (295*s[53])/33 - 
       (241*s[54])/132 - (15667*s[55])/264 - (4321*s[56])/264 + 
       (2037*s[57])/88 - (2929*s[58])/99 + (21119*s[59])/792 + 
       (20013*s[60])/176 - (47185*s[61])/4752 + 3*s[82]) + 
     B11[u, v, w]*HPL[{1}, 1 - v]*(8*s[3] + 18*s[4] + (156*s[5])/11 + 
       (311*s[6])/11 + (2815*s[7])/11 - (2000*s[8])/99 - (1909*s[9])/9 - 
       (584*s[10])/9 - (9412*s[11])/33 - (20653*s[12])/66 - 
       (12239*s[13])/66 - (1847*s[14])/66 - (1048*s[15])/3 - 
       (28841*s[16])/66 - (11197*s[17])/33 - (1295*s[18])/27 - 
       (1213*s[19])/27 - (151714*s[20])/297 - (111137*s[21])/594 + 
       (78211*s[22])/594 + (10646*s[23])/33 + (85175*s[24])/297 - 
       (1951109*s[25])/5346 + (1072547*s[26])/5346 + 2*s[37] + 12*s[38] - 
       38*s[39] + 40*s[40] - 29*s[41] + 51*s[42] + (375*s[43])/11 - 
       (380*s[44])/11 + (444*s[45])/11 - (3154*s[46])/11 + (430*s[47])/33 + 
       (133*s[48])/33 - (5107*s[49])/33 + (2356*s[50])/11 + (368*s[51])/11 + 
       (986*s[52])/33 - (4907*s[53])/33 + (60*s[54])/11 - (31763*s[55])/33 - 
       (2701*s[56])/11 + (2732*s[57])/11 - (44477*s[58])/99 + 
       (45362*s[59])/99 + (235997*s[60])/99 - (108082*s[61])/891 + 6*s[82]) + 
     B11[u, v, w]*HPL[{1}, 1 - w]*(11*s[4] + (156*s[5])/11 + (289*s[6])/11 + 
       (8500*s[7])/33 - (2044*s[8])/99 - (1994*s[9])/9 - (616*s[10])/9 - 
       (9467*s[11])/33 - (20939*s[12])/66 - (12833*s[13])/66 - 
       (2023*s[14])/66 - (995*s[15])/3 - (28181*s[16])/66 - (3505*s[17])/11 - 
       (1171*s[18])/27 - (1163*s[19])/27 - (152000*s[20])/297 - 
       (111907*s[21])/594 + (81005*s[22])/594 + (8336*s[23])/33 + 
       (86737*s[24])/297 - (1947985*s[25])/5346 + (1078135*s[26])/5346 + 
       2*s[37] + 12*s[38] - 38*s[39] + 40*s[40] - 29*s[41] + 51*s[42] + 
       (375*s[43])/11 - (380*s[44])/11 + (444*s[45])/11 - (3154*s[46])/11 + 
       (430*s[47])/33 + (133*s[48])/33 - (5107*s[49])/33 + (2356*s[50])/11 + 
       (368*s[51])/11 + (986*s[52])/33 - (4907*s[53])/33 + (60*s[54])/11 - 
       (31763*s[55])/33 - (2701*s[56])/11 + (2732*s[57])/11 - 
       (44477*s[58])/99 + (45362*s[59])/99 + (235997*s[60])/99 - 
       (108082*s[61])/891 + 6*s[82]) + D19[w, u, v]*
      (s[4] - s[6] + (7*s[7])/3 - (7*s[8])/9 - (16*s[9])/9 - (2*s[10])/9 - 
       (19*s[11])/6 - (16*s[12])/3 - (11*s[13])/6 + (5*s[14])/6 - 
       (2*s[15])/3 - (29*s[16])/6 - s[17]/2 - (59*s[18])/27 + (26*s[19])/27 - 
       (191*s[20])/27 - (115*s[21])/54 + (89*s[22])/54 + (49*s[23])/6 + 
       (101*s[24])/54 - (902*s[25])/243 + (407*s[26])/243 - s[41] + s[42] - 
       s[43] - 2*s[46] + (4*s[47])/3 - (5*s[48])/3 + (5*s[49])/3 + 2*s[50] + 
       (2*s[52])/3 + s[53]/3 - (26*s[55])/3 - 7*s[56] + (34*s[57])/3 - 
       (67*s[58])/9 + (34*s[59])/9 + (179*s[60])/9 - (70*s[61])/27 + 
       6*s[82]) + D19[v, w, u]*(s[6] + 2*s[7] + s[8]/9 - (8*s[9])/9 - 
       s[10]/9 - (17*s[11])/6 - (14*s[12])/3 - (11*s[13])/6 - (17*s[14])/6 - 
       (4*s[15])/3 - (35*s[16])/6 - (17*s[17])/6 - (19*s[18])/27 + 
       (16*s[19])/27 - (229*s[20])/27 - (209*s[21])/54 + (85*s[22])/54 + 
       s[23]/6 + (181*s[24])/54 - (673*s[25])/243 + (682*s[26])/243 - s[41] + 
       s[42] - s[43] - 2*s[46] + (4*s[47])/3 - (5*s[48])/3 + (5*s[49])/3 + 
       2*s[50] + (2*s[52])/3 + s[53]/3 - (26*s[55])/3 - 7*s[56] + 
       (34*s[57])/3 - (67*s[58])/9 + (34*s[59])/9 + (179*s[60])/9 - 
       (70*s[61])/27 + 6*s[82]) + B3[w, u, v]*HPL[{1}, 1 - v]*
      (s[4] - s[6] + (7*s[7])/3 - (7*s[8])/9 - (16*s[9])/9 - (2*s[10])/9 - 
       (19*s[11])/6 - (16*s[12])/3 - (11*s[13])/6 + (5*s[14])/6 - 
       (2*s[15])/3 - (29*s[16])/6 - s[17]/2 - (59*s[18])/27 + (26*s[19])/27 - 
       (191*s[20])/27 - (115*s[21])/54 + (89*s[22])/54 + (61*s[23])/6 + 
       (65*s[24])/54 - (902*s[25])/243 + (407*s[26])/243 - s[41] + s[42] - 
       s[43] - 2*s[46] + (4*s[47])/3 - (5*s[48])/3 + (5*s[49])/3 + 2*s[50] + 
       (2*s[52])/3 + s[53]/3 - (26*s[55])/3 - 7*s[56] + (40*s[57])/3 - 
       (79*s[58])/9 + (46*s[59])/9 + (173*s[60])/9 - (55*s[61])/27 + 
       6*s[82]) + B3[v, w, u]*HPL[{1}, 1 - w]*(s[6] + 2*s[7] + s[8]/9 - 
       (17*s[9])/9 - s[10]/9 - (17*s[11])/6 - (14*s[12])/3 - (11*s[13])/6 - 
       (17*s[14])/6 - (4*s[15])/3 - (35*s[16])/6 - (17*s[17])/6 - 
       (19*s[18])/27 + (16*s[19])/27 - (229*s[20])/27 - (245*s[21])/54 + 
       (85*s[22])/54 + s[23]/6 + (145*s[24])/54 - (592*s[25])/243 + 
       (763*s[26])/243 - s[41] + s[42] - s[43] - 2*s[46] + (4*s[47])/3 - 
       (5*s[48])/3 + (5*s[49])/3 + 2*s[50] + (2*s[52])/3 + s[53]/3 - 
       (26*s[55])/3 - 7*s[56] + (40*s[57])/3 - (79*s[58])/9 + (46*s[59])/9 + 
       (173*s[60])/9 - (55*s[61])/27 + 6*s[82]) + 
     HPL[{1}, 1 - v]^2*M1[w, u, v]*((-41*s[5])/44 - (873*s[6])/176 - 
       (665*s[7])/66 + (199*s[8])/1584 + (1337*s[9])/144 + (37*s[10])/36 + 
       (11587*s[11])/1056 + (11393*s[12])/1056 + (4819*s[13])/528 + 
       (1921*s[14])/264 + (121*s[15])/24 + (2933*s[16])/264 + 
       (1907*s[17])/352 + (4555*s[18])/432 - (4651*s[19])/432 + 
       (95237*s[20])/4752 + (82103*s[21])/4752 - (24043*s[22])/4752 - 
       (32419*s[23])/1056 + (46873*s[24])/9504 + (788455*s[25])/85536 - 
       (1252189*s[26])/85536 + s[37]/3 + 4*s[39] - 4*s[40] + (9*s[41])/2 - 
       (15*s[42])/2 - (12*s[43])/11 + (6*s[44])/11 + (7*s[45])/11 + 
       (107*s[46])/11 - (2095*s[47])/528 + (3053*s[48])/528 - 
       (689*s[49])/528 - (203*s[50])/88 - (3529*s[51])/528 - 
       (941*s[52])/132 - (10*s[53])/33 - (137*s[54])/11 - (6581*s[55])/528 + 
       (3495*s[56])/176 - (15767*s[57])/132 + (25171*s[58])/528 - 
       (17945*s[59])/528 + (56411*s[60])/3168 + (60875*s[61])/7128 + 
       6*s[82]) + HPL[{1}, 1 - v]^2*M1[u, v, w]*((-281*s[5])/44 - 
       (6059*s[6])/528 - (3983*s[7])/66 + (463*s[8])/176 + (873*s[9])/16 + 
       (209*s[10])/12 + (62219*s[11])/1056 + (19043*s[12])/352 + 
       (16531*s[13])/528 + (2859*s[14])/88 + (6335*s[15])/72 + 
       (26485*s[16])/264 + (100417*s[17])/1056 + (3665*s[18])/144 - 
       (1409*s[19])/144 + (221383*s[20])/1584 + (113957*s[21])/1584 - 
       (16387*s[22])/528 - (78811*s[23])/1056 - (141157*s[24])/3168 + 
       (1694629*s[25])/28512 - (1611127*s[26])/28512 + (4*s[37])/3 - 
       s[38]/6 + (25*s[39])/3 - (25*s[40])/3 + (17*s[41])/2 - (44*s[42])/3 - 
       (148*s[43])/33 + (117*s[44])/44 - (218*s[45])/33 + (666*s[46])/11 - 
       (3323*s[47])/528 + (5257*s[48])/528 + (5987*s[49])/528 - 
       (10937*s[50])/264 - (16567*s[51])/1584 - (731*s[52])/66 + 
       (1087*s[53])/33 - (243*s[54])/11 + (35213*s[55])/176 + 
       (39761*s[56])/528 - (46187*s[57])/396 + (552487*s[58])/4752 - 
       (529501*s[59])/4752 - (1165841*s[60])/3168 + (764087*s[61])/21384 + 
       6*s[82]) + HPL[{1}, 1 - w]^2*M1[u, v, w]*((-17*s[4])/2 + 
       (49*s[5])/44 - (1345*s[6])/176 - (26243*s[7])/528 + 
       (15893*s[8])/1584 + (5323*s[9])/144 + (295*s[10])/72 + 
       (57401*s[11])/1056 + (23223*s[12])/352 + (4999*s[13])/132 - 
       (9323*s[14])/528 + (8809*s[15])/144 + (6819*s[16])/88 + 
       (15777*s[17])/352 + (5027*s[18])/432 + (415*s[19])/432 + 
       (347503*s[20])/4752 + (54143*s[21])/2376 - (57313*s[22])/2376 - 
       (137023*s[23])/1056 - (362839*s[24])/9504 + (6795311*s[25])/85536 - 
       (3222365*s[26])/85536 + (4*s[37])/3 - s[38]/6 + (25*s[39])/3 - 
       (25*s[40])/3 + (17*s[41])/2 - (44*s[42])/3 - (148*s[43])/33 + 
       (117*s[44])/44 - (218*s[45])/33 + (666*s[46])/11 - (3323*s[47])/528 + 
       (5257*s[48])/528 + (5987*s[49])/528 - (10937*s[50])/264 - 
       (16567*s[51])/1584 - (731*s[52])/66 + (1087*s[53])/33 - 
       (243*s[54])/11 + (35213*s[55])/176 + (39761*s[56])/528 - 
       (46187*s[57])/396 + (552487*s[58])/4752 - (529501*s[59])/4752 - 
       (1165841*s[60])/3168 + (764087*s[61])/21384 + 6*s[82]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1, 1, 1}, 1 - u]*((-377*s[5])/44 - 
       (247*s[6])/22 - (47513*s[7])/528 + (1703*s[8])/264 + (1819*s[9])/24 + 
       (623*s[10])/24 + (14941*s[11])/176 + (7483*s[12])/88 + 
       (24133*s[13])/528 + (9261*s[14])/176 + (6283*s[15])/48 + 
       (38009*s[16])/264 + (71153*s[17])/528 + (481*s[18])/18 - 
       (55*s[19])/72 + (162857*s[20])/792 + (40903*s[21])/528 - 
       (70357*s[22])/1584 - (4661*s[23])/132 - (71513*s[24])/792 + 
       (228185*s[25])/2376 - (151685*s[26])/2376 - 8*s[37] + (35*s[43])/22 + 
       (359*s[44])/88 - (377*s[45])/22 + (960*s[46])/11 - (1433*s[47])/264 - 
       (1829*s[48])/264 - (3643*s[49])/264 - (713*s[50])/11 - 
       (1211*s[51])/264 - (3607*s[52])/264 + (6827*s[53])/132 - 
       (622*s[54])/11 + (33259*s[55])/88 + (13537*s[56])/88 + 
       (16427*s[57])/132 + (75461*s[58])/792 - (52607*s[59])/792 - 
       (1046459*s[60])/1584 + (168043*s[61])/2376 + 6*s[82]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      ((-9*s[3])/2 - (201*s[4])/4 + (6307*s[5])/22 + (25379*s[6])/88 + 
       (538393*s[7])/264 - (19087*s[8])/264 - (45347*s[9])/24 - 
       (4333*s[10])/6 - (341591*s[11])/176 - (293595*s[12])/176 - 
       (108001*s[13])/132 - (117057*s[14])/88 - (78989*s[15])/24 - 
       (121819*s[16])/33 - (1963055*s[17])/528 - (7005*s[18])/8 + 
       (6473*s[19])/24 - (454345*s[20])/88 - (1026497*s[21])/396 + 
       (428711*s[22])/396 + (1238183*s[23])/528 + (2611649*s[24])/1584 - 
       (25550717*s[25])/14256 + (26078423*s[26])/14256 - 6*s[30] + 3*s[36] - 
       93*s[38] - (389*s[39])/4 + (361*s[40])/4 - (311*s[41])/4 + 
       (1191*s[42])/4 - (4701*s[43])/44 + (2589*s[44])/88 - (1493*s[45])/22 - 
       (18195*s[46])/44 + (10877*s[47])/66 - (52397*s[48])/132 + 
       (64439*s[49])/132 + (7131*s[50])/44 + (6955*s[51])/66 + 
       (47761*s[52])/264 - (35273*s[53])/132 + (15379*s[54])/22 - 
       (151303*s[55])/132 - (58617*s[56])/44 + (242317*s[57])/66 - 
       (231431*s[58])/132 + (57339*s[59])/44 - (1492229*s[60])/792 - 
       (4341787*s[61])/7128 + 9*s[71] - 48*s[80] + 6*s[82]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      (128*s[4] - (2217*s[5])/11 + (6517*s[6])/88 - (322481*s[7])/264 - 
       (69371*s[8])/264 + (32819*s[9])/24 + (9353*s[10])/12 + 
       (222917*s[11])/176 + (162705*s[12])/176 + (37531*s[13])/66 + 
       (98017*s[14])/88 + (18359*s[15])/8 + (311459*s[16])/132 + 
       (1418941*s[17])/528 + (515*s[18])/72 + (46387*s[19])/72 + 
       (2968531*s[20])/792 + (196459*s[21])/132 - (298949*s[22])/396 + 
       (1190351*s[23])/528 - (3578387*s[24])/1584 + (5414029*s[25])/4752 - 
       (4330015*s[26])/4752 + 3*s[27] - 9*s[33] + 12*s[34] + 3*s[36] - 
       93*s[38] - (389*s[39])/4 + (361*s[40])/4 - (311*s[41])/4 + 
       (1191*s[42])/4 - (4701*s[43])/44 + (2589*s[44])/88 - (1493*s[45])/22 - 
       (18195*s[46])/44 + (10877*s[47])/66 - (52397*s[48])/132 + 
       (64439*s[49])/132 + (7131*s[50])/44 + (6955*s[51])/66 + 
       (47761*s[52])/264 - (35273*s[53])/132 + (15379*s[54])/22 - 
       (151303*s[55])/132 - (58617*s[56])/44 + (242317*s[57])/66 - 
       (231431*s[58])/132 + (57339*s[59])/44 - (1492229*s[60])/792 - 
       (4341787*s[61])/7128 + 9*s[71] - 48*s[80] + 6*s[82]) + 
     B11[w, u, v]*HPL[{1}, 1 - w]*((39*s[4])/2 + (101*s[5])/11 + 
       (523*s[6])/22 + (106477*s[7])/396 - (14101*s[8])/594 - 
       (6052*s[9])/27 - (1823*s[10])/27 - (119269*s[11])/396 - 
       (66799*s[12])/198 - (27503*s[13])/132 - (3811*s[14])/396 - 
       (1395*s[15])/4 - (4915*s[16])/11 - (128303*s[17])/396 - 
       (3089*s[18])/81 - (8405*s[19])/162 - (910823*s[20])/1782 - 
       (615133*s[21])/3564 + (508481*s[22])/3564 + (21347*s[23])/66 + 
       (541927*s[24])/1782 - (6349823*s[25])/16038 + (3217355*s[26])/16038 + 
       (2*s[36])/3 + (7*s[37])/3 + 12*s[38] - (85*s[39])/2 + (287*s[40])/6 - 
       (75*s[41])/2 + (361*s[42])/6 + (2503*s[43])/66 - (5495*s[44])/132 + 
       (2345*s[45])/66 - (3341*s[46])/11 + (5941*s[47])/396 + 
       (1651*s[48])/396 - (68467*s[49])/396 + (7838*s[50])/33 + 
       (16823*s[51])/396 + (12041*s[52])/396 - (5204*s[53])/33 + 
       (16*s[54])/11 - (132937*s[55])/132 - (97973*s[56])/396 + 
       (92288*s[57])/297 - (1716529*s[58])/3564 + (1751557*s[59])/3564 + 
       (6066583*s[60])/2376 - (1897505*s[61])/16038 + 8*s[79] - (4*s[80])/3 + 
       6*s[82]) + B11[v, w, u]*HPL[{1}, 1 - v]*(18*s[4] + (257*s[5])/22 + 
       (567*s[6])/22 + (3002*s[7])/11 - (4363*s[8])/198 - (4193*s[9])/18 - 
       (1261*s[10])/18 - (19979*s[11])/66 - (11069*s[12])/33 - 
       (13361*s[13])/66 - (1781*s[14])/66 - (2171*s[15])/6 - 
       (30095*s[16])/66 - (11230*s[17])/33 - (2539*s[18])/54 - 
       (1189*s[19])/27 - (160987*s[20])/297 - (57169*s[21])/297 + 
       (86395*s[22])/594 + (10415*s[23])/33 + (90158*s[24])/297 - 
       (4159189*s[25])/10692 + (2240497*s[26])/10692 + (2*s[36])/3 + 
       (7*s[37])/3 + 12*s[38] - (85*s[39])/2 + (287*s[40])/6 - (75*s[41])/2 + 
       (361*s[42])/6 + (2503*s[43])/66 - (5495*s[44])/132 + (2345*s[45])/66 - 
       (3341*s[46])/11 + (5941*s[47])/396 + (1651*s[48])/396 - 
       (68467*s[49])/396 + (7838*s[50])/33 + (16823*s[51])/396 + 
       (12041*s[52])/396 - (5204*s[53])/33 + (16*s[54])/11 - 
       (132937*s[55])/132 - (97973*s[56])/396 + (92288*s[57])/297 - 
       (1716529*s[58])/3564 + (1751557*s[59])/3564 + (6066583*s[60])/2376 - 
       (1897505*s[61])/16038 + 8*s[79] - (4*s[80])/3 + 6*s[82]) + 
     B5[v, w, u]*HPL[{1}, 1 - v]*(7*s[4] + (40*s[5])/11 + (153*s[6])/22 + 
       (9874*s[7])/99 - (1801*s[8])/198 - (1493*s[9])/18 - (236*s[10])/9 - 
       (14783*s[11])/132 - (16619*s[12])/132 - (7514*s[13])/99 - 
       (211*s[14])/66 - (1180*s[15])/9 - (33589*s[16])/198 - 
       (48787*s[17])/396 - (773*s[18])/54 - (1075*s[19])/54 - 
       (114931*s[20])/594 - (6430*s[21])/99 + (15839*s[22])/297 + 
       (51121*s[23])/396 + (135515*s[24])/1188 - (6433*s[25])/44 + 
       (29251*s[26])/396 + s[35] - s[36]/3 + s[37] + 5*s[38] - (31*s[39])/2 + 
       (107*s[40])/6 - (27*s[41])/2 + (127*s[42])/6 + (967*s[43])/66 - 
       (2309*s[44])/132 + (281*s[45])/22 - (3692*s[46])/33 + 
       (1681*s[47])/396 + (2143*s[48])/396 - (28099*s[49])/396 + 
       (2903*s[50])/33 + (5327*s[51])/396 + (3935*s[52])/396 - 
       (5791*s[53])/99 - (206*s[54])/33 - (16671*s[55])/44 - 
       (34405*s[56])/396 + (30925*s[57])/297 - (615173*s[58])/3564 + 
       (648473*s[59])/3564 + (2304763*s[60])/2376 - (646603*s[61])/16038 + 
       4*s[79] - s[80] + 6*s[82]) + B5[w, v, u]*HPL[{1}, 1 - w]*
      ((13*s[4])/2 + (91*s[5])/22 + (241*s[6])/22 + (13015*s[7])/132 - 
       (4325*s[8])/594 - (2258*s[9])/27 - (1397*s[10])/54 - 
       (11024*s[11])/99 - (48559*s[12])/396 - (30683*s[13])/396 - 
       (4511*s[14])/396 - (4837*s[15])/36 - (16712*s[16])/99 - 
       (25477*s[17])/198 - (1054*s[18])/81 - (1649*s[19])/81 - 
       (174041*s[20])/891 - (251621*s[21])/3564 + (187747*s[22])/3564 + 
       (38515*s[23])/396 + (423067*s[24])/3564 - (1149548*s[25])/8019 + 
       (1247833*s[26])/16038 + s[35] - s[36]/3 + s[37] + 5*s[38] - 
       (31*s[39])/2 + (107*s[40])/6 - (27*s[41])/2 + (127*s[42])/6 + 
       (967*s[43])/66 - (2309*s[44])/132 + (281*s[45])/22 - (3692*s[46])/33 + 
       (1681*s[47])/396 + (2143*s[48])/396 - (28099*s[49])/396 + 
       (2903*s[50])/33 + (5327*s[51])/396 + (3935*s[52])/396 - 
       (5791*s[53])/99 - (206*s[54])/33 - (16671*s[55])/44 - 
       (34405*s[56])/396 + (30925*s[57])/297 - (615173*s[58])/3564 + 
       (648473*s[59])/3564 + (2304763*s[60])/2376 - (646603*s[61])/16038 + 
       4*s[79] - s[80] + 6*s[82]) + B5[u, w, v]*HPL[{1}, 1 - v]*
      (4*s[3] + 7*s[4] + (113*s[5])/22 + (115*s[6])/11 + (10303*s[7])/99 - 
       (2542*s[8])/297 - (2297*s[9])/27 - (1517*s[10])/54 - 
       (45911*s[11])/396 - (51265*s[12])/396 - (7624*s[13])/99 - 
       (839*s[14])/99 - (2479*s[15])/18 - (35129*s[16])/198 - 
       (17795*s[17])/132 - (1732*s[18])/81 - (3031*s[19])/162 - 
       (183380*s[20])/891 - (133087*s[21])/1782 + (93395*s[22])/1782 + 
       (52991*s[23])/396 + (412111*s[24])/3564 - (1201622*s[25])/8019 + 
       (655943*s[26])/8019 + s[35] - s[36]/3 + (2*s[37])/3 + 4*s[38] - 
       (29*s[39])/2 + (95*s[40])/6 - (21*s[41])/2 + (121*s[42])/6 + 
       (769*s[43])/66 - (1913*s[44])/132 + (1129*s[45])/66 - 
       (3835*s[46])/33 + (2011*s[47])/396 + (493*s[48])/396 - 
       (24073*s[49])/396 + (2903*s[50])/33 + (4073*s[51])/396 + 
       (4199*s[52])/396 - (5978*s[53])/99 - (118*s[54])/33 - 
       (52543*s[55])/132 - (13397*s[56])/132 + (3452*s[57])/33 - 
       (220817*s[58])/1188 + (223997*s[59])/1188 + (2276449*s[60])/2376 - 
       (295277*s[61])/5346 - (2*s[80])/3 + 6*s[82]) + 
     B5[u, v, w]*HPL[{1}, 1 - w]*((7*s[4])/2 + (84*s[5])/11 + (115*s[6])/11 + 
       (13961*s[7])/132 - (2663*s[8])/297 - (4859*s[9])/54 - (770*s[10])/27 - 
       (23093*s[11])/198 - (50429*s[12])/396 - (29341*s[13])/396 - 
       (7327*s[14])/396 - (5189*s[15])/36 - (17977*s[16])/99 - 
       (14152*s[17])/99 - (3313*s[18])/162 - (1342*s[19])/81 - 
       (389915*s[20])/1782 - (308821*s[21])/3564 + (197603*s[22])/3564 + 
       (44543*s[23])/396 + (430283*s[24])/3564 - (4601107*s[25])/32076 + 
       (2747863*s[26])/32076 + s[34] + s[35] - s[36]/3 + (2*s[37])/3 + 
       4*s[38] - (29*s[39])/2 + (95*s[40])/6 - (21*s[41])/2 + (121*s[42])/6 + 
       (769*s[43])/66 - (1913*s[44])/132 + (1129*s[45])/66 - 
       (3835*s[46])/33 + (2011*s[47])/396 + (493*s[48])/396 - 
       (24073*s[49])/396 + (2903*s[50])/33 + (4073*s[51])/396 + 
       (4199*s[52])/396 - (5978*s[53])/99 - (118*s[54])/33 - 
       (52543*s[55])/132 - (13397*s[56])/132 + (3452*s[57])/33 - 
       (220817*s[58])/1188 + (223997*s[59])/1188 + (2276449*s[60])/2376 - 
       (295277*s[61])/5346 - (2*s[80])/3 + 6*s[82]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]^2*(6*s[2] + 126*s[3] + 
       (2541*s[4])/8 + (11901*s[5])/44 + (54821*s[6])/88 + 
       (2770037*s[7])/528 - (396487*s[8])/1188 - (943849*s[9])/216 - 
       (40465*s[10])/27 - (9163343*s[11])/1584 - (4894991*s[12])/792 - 
       (5940023*s[13])/1584 - (1284011*s[14])/1584 - (1048879*s[15])/144 - 
       (896549*s[16])/99 - (11688683*s[17])/1584 - (596411*s[18])/648 - 
       (343097*s[19])/324 - (75168505*s[20])/7128 - (55531211*s[21])/14256 + 
       (38220355*s[22])/14256 + (520573*s[23])/99 + (10937315*s[24])/1782 - 
       (938229857*s[25])/128304 + (524345417*s[26])/128304 - s[27] - 
       s[28]/4 - s[29] - (3*s[30])/2 + (5*s[31])/2 + (5*s[32])/2 + 
       (63*s[33])/8 - 6*s[34] + 4*s[36] + (97*s[37])/6 + 198*s[38] - 
       (2405*s[39])/4 + (2513*s[40])/4 - (1861*s[41])/4 + (3149*s[42])/4 + 
       (23927*s[43])/44 - (45245*s[44])/88 + (80423*s[45])/132 - 
       (146081*s[46])/33 + (53915*s[47])/264 + (19265*s[48])/264 - 
       (647153*s[49])/264 + (36653*s[50])/11 + (47331*s[51])/88 + 
       (124735*s[52])/264 - (453335*s[53])/198 + (1597*s[54])/33 - 
       (3883277*s[55])/264 - (2884405*s[56])/792 + (2221393*s[57])/594 - 
       (49013141*s[58])/7128 + (50031041*s[59])/7128 + 
       (58487629*s[60])/1584 - (59196703*s[61])/32076 - s[64] + s[66] - 
       2*s[69] - 4*s[70] + 4*s[73] + s[76] - 2*s[77] - 10*s[79] + 
       (7*s[80])/3 + 6*s[82]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]^2*
      ((-5*s[2])/2 - (91*s[3])/2 + (1181*s[4])/8 + (1611*s[5])/11 + 
       (16747*s[6])/88 + (469187*s[7])/176 - (329533*s[8])/1188 - 
       (495709*s[9])/216 - (60445*s[10])/108 - (4810271*s[11])/1584 - 
       (2815355*s[12])/792 - (3353495*s[13])/1584 - (12359*s[14])/1584 - 
       (457867*s[15])/144 - (1660853*s[16])/396 - (4256363*s[17])/1584 - 
       (331031*s[18])/648 - (28427*s[19])/81 - (35937637*s[20])/7128 - 
       (25826183*s[21])/14256 + (20354515*s[22])/14256 + 
       (1387051*s[23])/396 + (10157977*s[24])/3564 - (508379825*s[25])/
        128304 + (268514921*s[26])/128304 + s[28]/4 - 2*s[29] - s[30]/2 - 
       (9*s[31])/2 - (13*s[32])/2 - (3*s[33])/8 + 6*s[34] + 4*s[36] + 
       (97*s[37])/6 + 198*s[38] - (2405*s[39])/4 + (2513*s[40])/4 - 
       (1861*s[41])/4 + (3149*s[42])/4 + (23927*s[43])/44 - 
       (45245*s[44])/88 + (80423*s[45])/132 - (146081*s[46])/33 + 
       (53915*s[47])/264 + (19265*s[48])/264 - (647153*s[49])/264 + 
       (36653*s[50])/11 + (47331*s[51])/88 + (124735*s[52])/264 - 
       (453335*s[53])/198 + (1597*s[54])/33 - (3883277*s[55])/264 - 
       (2884405*s[56])/792 + (2221393*s[57])/594 - (49013141*s[58])/7128 + 
       (50031041*s[59])/7128 + (58487629*s[60])/1584 - 
       (59196703*s[61])/32076 - s[64] + s[66] - 2*s[69] - 4*s[70] + 4*s[73] + 
       s[76] - 2*s[77] - 10*s[79] + (7*s[80])/3 + 6*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]^2*((531*s[3])/8 + (3759*s[4])/16 + 
       (12135*s[5])/88 + (62431*s[6])/176 + (9971717*s[7])/3168 - 
       (1223573*s[8])/4752 - (276943*s[9])/108 - (86333*s[10])/108 - 
       (11249993*s[11])/3168 - (3124009*s[12])/792 - (2573893*s[13])/1056 - 
       (435473*s[14])/3168 - (401041*s[15])/96 - (936525*s[16])/176 - 
       (12592447*s[17])/3168 - (164333*s[18])/324 - (824569*s[19])/1296 - 
       (85813003*s[20])/14256 - (61229423*s[21])/28512 + 
       (46093867*s[22])/28512 + (2006011*s[23])/528 + 
       (51968621*s[24])/14256 - (596676571*s[25])/128304 + 
       (315284605*s[26])/128304 + (3*s[30])/2 - (11*s[35])/2 - 
       (193*s[36])/12 + (539*s[37])/24 + 165*s[38] - (7699*s[39])/16 + 
       (23581*s[40])/48 - (5591*s[41])/16 + (29981*s[42])/48 + 
       (236327*s[43])/528 - (426385*s[44])/1056 + (236611*s[45])/528 - 
       (293429*s[46])/88 + (520823*s[47])/3168 + (196037*s[48])/3168 - 
       (6292205*s[49])/3168 + (160741*s[50])/66 + (1233421*s[51])/3168 + 
       (1184731*s[52])/3168 - (444791*s[53])/264 - (3329*s[54])/44 - 
       (3779549*s[55])/352 - (8423347*s[56])/3168 + (2120137*s[57])/594 - 
       (153376823*s[58])/28512 + (157399679*s[59])/28512 + 
       (525022853*s[60])/19008 - (42212557*s[61])/32076 + s[62]/4 + 4*s[68] - 
       4*s[69] - 8*s[76] + 4*s[77] + 6*s[78] - 32*s[79] + (353*s[80])/12 + 
       6*s[82]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]^2*
      (10*s[2] - (27*s[3])/2 + (209*s[4])/2 + (2757*s[5])/16 + 
       (4277*s[6])/16 + (43889*s[7])/16 - (3041*s[8])/16 - (38683*s[9])/16 - 
       (10403*s[10])/16 - (12461*s[11])/4 - (55813*s[12])/16 - 
       (34381*s[13])/16 - (4429*s[14])/16 - (83387*s[15])/24 - 
       (17991*s[16])/4 - (51159*s[17])/16 - (24313*s[18])/48 - 
       (9091*s[19])/24 - (32639*s[20])/6 - (12335*s[21])/6 + 
       (71135*s[22])/48 + (25063*s[23])/8 + (24339*s[24])/8 - 
       (3411563*s[25])/864 + (1897151*s[26])/864 + 8*s[31] - (45*s[33])/8 - 
       (21*s[34])/2 - (11*s[35])/2 - (193*s[36])/12 + (539*s[37])/24 + 
       165*s[38] - (7699*s[39])/16 + (23581*s[40])/48 - (5591*s[41])/16 + 
       (29981*s[42])/48 + (236327*s[43])/528 - (426385*s[44])/1056 + 
       (236611*s[45])/528 - (293429*s[46])/88 + (520823*s[47])/3168 + 
       (196037*s[48])/3168 - (6292205*s[49])/3168 + (160741*s[50])/66 + 
       (1233421*s[51])/3168 + (1184731*s[52])/3168 - (444791*s[53])/264 - 
       (3329*s[54])/44 - (3779549*s[55])/352 - (8423347*s[56])/3168 + 
       (2120137*s[57])/594 - (153376823*s[58])/28512 + 
       (157399679*s[59])/28512 + (525022853*s[60])/19008 - 
       (42212557*s[61])/32076 + s[62]/4 + 4*s[68] - 4*s[69] - 8*s[76] + 
       4*s[77] + 6*s[78] - 32*s[79] + (353*s[80])/12 + 6*s[82]) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((-1681*s[5])/66 - (1153*s[6])/44 - (24383*s[7])/99 + (4867*s[8])/396 + 
       (8027*s[9])/36 + (811*s[10])/9 + (60113*s[11])/264 + 
       (48737*s[12])/264 + (10066*s[13])/99 + (4911*s[14])/44 + 
       (1286*s[15])/3 + (173977*s[16])/396 + (373201*s[17])/792 + 
       (6197*s[18])/108 + (3103*s[19])/108 + (670819*s[20])/1188 + 
       (24668*s[21])/99 - (74765*s[22])/594 - (106411*s[23])/792 - 
       (594353*s[24])/2376 + (1770599*s[25])/7128 - (1409213*s[26])/7128 - 
       s[35]/3 + s[36]/3 + s[37] + (17*s[38])/6 + (43*s[39])/3 - 14*s[40] + 
       (97*s[41])/6 - (175*s[42])/6 - (193*s[43])/33 - (241*s[44])/132 - 
       (1234*s[45])/33 + (6736*s[46])/33 - (1612*s[47])/99 + 
       (4691*s[48])/99 + (5657*s[49])/198 - (11783*s[50])/66 - 
       (3469*s[51])/198 - (6185*s[52])/396 + (15197*s[53])/99 - 
       (87*s[54])/11 + (189899*s[55])/198 + (4501*s[56])/22 + 
       (12451*s[57])/198 + (76309*s[58])/297 - (180695*s[59])/594 - 
       (908581*s[60])/594 + (412721*s[61])/3564 + 7*s[82]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 1}, 1 - u]*((19*s[3])/12 + 
       (67*s[4])/24 + (739*s[5])/132 + (218*s[6])/33 + (7091*s[7])/528 - 
       (511*s[8])/297 - (3349*s[9])/216 + (509*s[10])/108 - 
       (13427*s[11])/396 - (79135*s[12])/1584 - (32255*s[13])/1584 + 
       (3313*s[14])/1584 - (1067*s[15])/144 - (3656*s[16])/99 + 
       (1057*s[17])/396 - (9863*s[18])/648 + (1186*s[19])/81 - 
       (43577*s[20])/891 - (505931*s[21])/14256 + (137359*s[22])/14256 + 
       (252937*s[23])/1584 + (20149*s[24])/14256 - (3698531*s[25])/128304 + 
       (3313745*s[26])/128304 + s[30]/3 - s[36]/6 + (19*s[37])/12 + 
       (121*s[38])/6 - (749*s[39])/24 + (251*s[40])/8 - (517*s[41])/24 + 
       (713*s[42])/24 + (781*s[43])/24 - (541*s[44])/16 + (503*s[45])/24 - 
       (1121*s[46])/6 - (29*s[47])/144 + (5689*s[48])/144 - 
       (24541*s[49])/144 + (1769*s[50])/12 + (2993*s[51])/144 + 
       (821*s[52])/144 - (1105*s[53])/12 - 78*s[54] - (86861*s[55])/144 - 
       (17051*s[56])/144 + (12721*s[57])/54 - (402703*s[58])/1296 + 
       (439999*s[59])/1296 + (1616845*s[60])/864 - (302927*s[61])/5832 - 
       s[71] + s[76] + (9*s[80])/2 + 7*s[82]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1, 1}, 1 - v]*(34*s[3] + 45*s[4] + (629*s[5])/11 + 
       (6221*s[6])/22 + (169811*s[7])/198 - (30689*s[8])/594 - 
       (19991*s[9])/27 - (4307*s[10])/54 - (411275*s[11])/396 - 
       (128203*s[12])/99 - (315313*s[13])/396 - (141047*s[14])/396 - 
       (11803*s[15])/18 - (507391*s[16])/396 - (77821*s[17])/132 - 
       (79415*s[18])/162 + (28468*s[19])/81 - (3299473*s[20])/1782 - 
       (3515723*s[21])/3564 + (1602607*s[22])/3564 + (721697*s[23])/396 + 
       (1386937*s[24])/3564 - (18450109*s[25])/16038 + (7538288*s[26])/8019 + 
       24*s[30] - (52*s[36])/3 - (166*s[37])/3 + 45*s[38] - 234*s[39] + 
       (754*s[40])/3 - (439*s[41])/2 + (2377*s[42])/6 + (4483*s[43])/66 - 
       (7417*s[44])/66 + (1277*s[45])/33 - (30307*s[46])/33 + 
       (37043*s[47])/198 - (12449*s[48])/99 - (24154*s[49])/99 + 
       (14735*s[50])/33 + (60271*s[51])/198 + (63325*s[52])/198 - 
       (27583*s[53])/198 + (20090*s[54])/33 - (62261*s[55])/66 - 
       (48110*s[56])/33 + (179840*s[57])/33 - (876107*s[58])/297 + 
       (1349281*s[59])/594 + (5074655*s[60])/1188 - (1740232*s[61])/2673 + 
       24*s[76] - (92*s[80])/3 + 9*s[82]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1, 1}, 1 - w]*(-36*s[2] + (349*s[4])/2 - (449*s[5])/11 + 
       (3075*s[6])/22 + (46469*s[7])/66 - (136069*s[8])/594 - 
       (12091*s[9])/27 + (2128*s[10])/27 - (384919*s[11])/396 - 
       (146507*s[12])/99 - (367915*s[13])/396 + (231677*s[14])/396 - 
       (1835*s[15])/9 - (356185*s[16])/396 + (67145*s[17])/396 - 
       (42841*s[18])/162 + (5732*s[19])/81 - (1017017*s[20])/1782 - 
       (687271*s[21])/3564 + (1189601*s[22])/3564 + (1166273*s[23])/396 + 
       (1355213*s[24])/3564 - (23701289*s[25])/16038 + (5239717*s[26])/8019 - 
       4*s[27] - 24*s[31] - 54*s[33] + 32*s[34] - (52*s[36])/3 - 
       (166*s[37])/3 + 45*s[38] - 234*s[39] + (754*s[40])/3 - (439*s[41])/2 + 
       (2377*s[42])/6 + (4483*s[43])/66 - (7417*s[44])/66 + (1277*s[45])/33 - 
       (30307*s[46])/33 + (37043*s[47])/198 - (12449*s[48])/99 - 
       (24154*s[49])/99 + (14735*s[50])/33 + (60271*s[51])/198 + 
       (63325*s[52])/198 - (27583*s[53])/198 + (20090*s[54])/33 - 
       (62261*s[55])/66 - (48110*s[56])/33 + (179840*s[57])/33 - 
       (876107*s[58])/297 + (1349281*s[59])/594 + (5074655*s[60])/1188 - 
       (1740232*s[61])/2673 + 24*s[76] - (92*s[80])/3 + 9*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - w]*
      ((-52*s[4])/3 + (70*s[5])/11 - (713*s[6])/44 - (10837*s[7])/132 + 
       (27383*s[8])/1188 + (5929*s[9])/108 - (251*s[10])/54 + 
       (77291*s[11])/792 + (110659*s[12])/792 + (8713*s[13])/99 - 
       (20195*s[14])/396 + (2027*s[15])/36 + (21071*s[16])/198 + 
       (4877*s[17])/792 + (9137*s[18])/324 - (5351*s[19])/324 + 
       (306115*s[20])/3564 + (39719*s[21])/1782 - (35318*s[22])/891 - 
       (225277*s[23])/792 - (246865*s[24])/7128 + (9626825*s[25])/64152 - 
       (4090223*s[26])/64152 + (53*s[37])/9 - 2*s[38] + (56*s[39])/3 - 
       (56*s[40])/3 + (52*s[41])/3 - (95*s[42])/3 - (115*s[43])/33 + 
       (791*s[44])/132 - (196*s[45])/33 + (3362*s[46])/33 - 
       (3167*s[47])/198 + (4357*s[48])/198 + (41*s[49])/198 - 
       (3947*s[50])/66 - (5639*s[51])/198 - (11195*s[52])/396 + 
       (3635*s[53])/99 - (2390*s[54])/33 + (45941*s[55])/198 + 
       (10609*s[56])/66 - (8751*s[57])/22 + (80870*s[58])/297 - 
       (64538*s[59])/297 - (554339*s[60])/1188 + (786431*s[61])/10692 + 
       10*s[82]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      (-s[4] - (3811*s[5])/396 - (6689*s[6])/198 - (457999*s[7])/4752 - 
       (931*s[8])/2376 + (17287*s[9])/216 + (3239*s[10])/216 + 
       (47881*s[11])/528 + (11021*s[12])/132 + (453257*s[13])/4752 + 
       (129901*s[14])/1584 + (61925*s[15])/432 + (97579*s[16])/594 + 
       (830479*s[17])/4752 + (1261*s[18])/54 - (1121*s[19])/216 + 
       (457529*s[20])/2376 + (1737541*s[21])/14256 - (608485*s[22])/14256 + 
       (12295*s[23])/594 - (613433*s[24])/7128 + (1448561*s[25])/16038 - 
       (3304129*s[26])/32076 + (3*s[35])/2 - s[36] - (14*s[37])/3 + s[39] - 
       s[40] + s[41] - 2*s[42] - (2290*s[43])/99 - (5261*s[44])/792 - 
       (4009*s[45])/198 + (6805*s[46])/66 - (247*s[47])/2376 - 
       (104395*s[48])/2376 + (95539*s[49])/2376 - (5651*s[50])/198 + 
       (66035*s[51])/2376 - (39371*s[52])/2376 + (14632*s[53])/297 - 
       (9206*s[54])/99 + (370633*s[55])/792 + (172763*s[56])/792 + 
       (287521*s[57])/1188 + (712699*s[58])/7128 - (919117*s[59])/7128 - 
       (11033041*s[60])/14256 + (1280155*s[61])/21384 + (31*s[82])/3) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - u]*
      ((1872*s[5])/11 + (1950*s[6])/11 + (108575*s[7])/66 - (903*s[8])/11 - 
       1420*s[9] - 568*s[10] - (32979*s[11])/22 - (28855*s[12])/22 - 
       (20777*s[13])/33 - (9766*s[14])/11 - (5683*s[15])/2 - 
       (188077*s[16])/66 - (198581*s[17])/66 - (3389*s[18])/9 - 
       (1723*s[19])/9 - (384007*s[20])/99 - (150785*s[21])/99 + 
       (26584*s[22])/33 + (22834*s[23])/33 + (59542*s[24])/33 - 
       (2969155*s[25])/1782 + (2129491*s[26])/1782 - 32*s[37] + 
       (518*s[43])/11 + (984*s[44])/11 + (3744*s[45])/11 - (18202*s[46])/11 - 
       (637*s[47])/33 - (637*s[48])/33 - (575*s[49])/33 + (14302*s[50])/11 + 
       (291*s[51])/11 + (3934*s[52])/33 - (38941*s[53])/33 + 
       (7914*s[54])/11 - (267493*s[55])/33 - (23491*s[56])/11 - 
       (124376*s[57])/33 - (14331*s[58])/11 + (50141*s[59])/33 + 
       (2673941*s[60])/198 - (940111*s[61])/891 + 12*s[82]) + 
     D27[w, v, u]*(-6*s[4] - (32*s[5])/11 - (103*s[6])/11 - (1629*s[7])/22 + 
       (749*s[8])/99 + (550*s[9])/9 + (152*s[10])/9 + (5339*s[11])/66 + 
       (2930*s[12])/33 + (1750*s[13])/33 + (17*s[14])/66 + (577*s[15])/6 + 
       (7607*s[16])/66 + (2734*s[17])/33 + (467*s[18])/27 + (151*s[19])/27 + 
       (81497*s[20])/594 + (14002*s[21])/297 - (22555*s[22])/594 - 
       (7669*s[23])/66 - (43063*s[24])/594 + (571337*s[25])/5346 - 
       (150988*s[26])/2673 - 3*s[38] + 12*s[39] - 14*s[40] + 10*s[41] - 
       17*s[42] - (126*s[43])/11 + (159*s[44])/22 - (130*s[45])/11 + 
       (920*s[46])/11 - (214*s[47])/33 + (116*s[48])/33 + (1225*s[49])/33 - 
       (637*s[50])/11 - (493*s[51])/33 - (763*s[52])/66 + (1523*s[53])/33 - 
       (212*s[54])/11 + (8786*s[55])/33 + (888*s[56])/11 - (3184*s[57])/33 + 
       (13099*s[58])/99 - (13300*s[59])/99 - (123571*s[60])/198 + 
       (7445*s[61])/198 + 12*s[82]) + D27[v, w, u]*(-4*s[4] - (65*s[5])/11 - 
       (114*s[6])/11 - (4997*s[7])/66 + (463*s[8])/99 + (596*s[9])/9 + 
       (142*s[10])/9 + (2675*s[11])/33 + (5651*s[12])/66 + (1651*s[13])/33 + 
       (1249*s[14])/66 + (203*s[15])/2 + (8135*s[16])/66 + (2303*s[17])/22 + 
       (427*s[18])/27 + (269*s[19])/27 + (88867*s[20])/594 + 
       (16499*s[21])/297 - (23303*s[22])/594 - (2993*s[23])/33 - 
       (23605*s[24])/297 + (275675*s[25])/2673 - (307333*s[26])/5346 + 
       s[33] - 3*s[38] + 12*s[39] - 14*s[40] + 10*s[41] - 17*s[42] - 
       (126*s[43])/11 + (159*s[44])/22 - (130*s[45])/11 + (920*s[46])/11 - 
       (214*s[47])/33 + (116*s[48])/33 + (1225*s[49])/33 - (637*s[50])/11 - 
       (493*s[51])/33 - (763*s[52])/66 + (1523*s[53])/33 - (212*s[54])/11 + 
       (8786*s[55])/33 + (888*s[56])/11 - (3184*s[57])/33 + 
       (13099*s[58])/99 - (13300*s[59])/99 - (123571*s[60])/198 + 
       (7445*s[61])/198 + 12*s[82]) + D27[u, v, w]*(8*s[3] + 16*s[4] + 
       (82*s[5])/11 + (299*s[6])/11 + (37333*s[7])/198 - (4979*s[8])/297 - 
       (4069*s[9])/27 - (1043*s[10])/27 - (43313*s[11])/198 - 
       (25064*s[12])/99 - (31309*s[13])/198 - (1901*s[14])/198 - 
       (4133*s[15])/18 - (31481*s[16])/99 - (4853*s[17])/22 - 
       (3044*s[18])/81 - (2353*s[19])/81 - (317365*s[20])/891 - 
       (226883*s[21])/1782 + (169039*s[22])/1782 + (26737*s[23])/99 + 
       (185453*s[24])/891 - (2323492*s[25])/8019 + (1230892*s[26])/8019 + 
       2*s[35] - (2*s[36])/3 + (4*s[37])/3 + 9*s[38] - 31*s[39] + 
       (101*s[40])/3 - 23*s[41] + (130*s[42])/3 + (805*s[43])/33 - 
       (958*s[44])/33 + (943*s[45])/33 - (7166*s[46])/33 + (1223*s[47])/99 + 
       (464*s[48])/99 - (11831*s[49])/99 + (5020*s[50])/33 + 
       (2362*s[51])/99 + (2665*s[52])/99 - (10078*s[53])/99 + 
       (340*s[54])/33 - (22169*s[55])/33 - (6469*s[56])/33 + 
       (10447*s[57])/33 - (113638*s[58])/297 + (110656*s[59])/297 + 
       (518029*s[60])/297 - (264872*s[61])/2673 - (4*s[80])/3 + 12*s[82]) + 
     D27[u, w, v]*(7*s[4] + (148*s[5])/11 + (255*s[6])/11 + (4329*s[7])/22 - 
       (4990*s[8])/297 - (4475*s[9])/27 - (1303*s[10])/27 - 
       (44149*s[11])/198 - (24910*s[12])/99 - (29263*s[13])/198 - 
       (6631*s[14])/198 - (4391*s[15])/18 - (32702*s[16])/99 - 
       (47527*s[17])/198 - (3598*s[18])/81 - (1607*s[19])/81 - 
       (359660*s[20])/891 - (289693*s[21])/1782 + (184637*s[22])/1782 + 
       (24988*s[23])/99 + (189160*s[24])/891 - (2194253*s[25])/8019 + 
       (1318364*s[26])/8019 + 2*s[34] + 2*s[35] - (2*s[36])/3 + (4*s[37])/3 + 
       9*s[38] - 31*s[39] + (101*s[40])/3 - 23*s[41] + (130*s[42])/3 + 
       (805*s[43])/33 - (958*s[44])/33 + (943*s[45])/33 - (7166*s[46])/33 + 
       (1223*s[47])/99 + (464*s[48])/99 - (11831*s[49])/99 + 
       (5020*s[50])/33 + (2362*s[51])/99 + (2665*s[52])/99 - 
       (10078*s[53])/99 + (340*s[54])/33 - (22169*s[55])/33 - 
       (6469*s[56])/33 + (10447*s[57])/33 - (113638*s[58])/297 + 
       (110656*s[59])/297 + (518029*s[60])/297 - (264872*s[61])/2673 - 
       (4*s[80])/3 + 12*s[82]) + D27[v, u, w]*((43*s[4])/2 + (82*s[5])/11 + 
       (609*s[6])/22 + (110779*s[7])/396 - (15007*s[8])/594 - 
       (6211*s[9])/27 - (1826*s[10])/27 - (127249*s[11])/396 - 
       (72601*s[12])/198 - (30637*s[13])/132 - (1855*s[14])/396 - 
       (4211*s[15])/12 - (15374*s[16])/33 - (126833*s[17])/396 - 
       (3200*s[18])/81 - (8525*s[19])/162 - (468868*s[20])/891 - 
       (656683*s[21])/3564 + (531425*s[22])/3564 + (22639*s[23])/66 + 
       (569203*s[24])/1782 - (3372661*s[25])/8019 + (3491219*s[26])/16038 + 
       2*s[35] + (2*s[36])/3 + (7*s[37])/3 + 14*s[38] - (93*s[39])/2 + 
       (311*s[40])/6 - (81*s[41])/2 + (391*s[42])/6 + (2809*s[43])/66 - 
       (6263*s[44])/132 + (2249*s[45])/66 - (3507*s[46])/11 + 
       (5299*s[47])/396 + (5365*s[48])/396 - (79741*s[49])/396 + 
       (8045*s[50])/33 + (15377*s[51])/396 + (14213*s[52])/396 - 
       (1726*s[53])/11 - (114*s[54])/11 - (135371*s[55])/132 - 
       (101663*s[56])/396 + (117893*s[57])/297 - (1886035*s[58])/3564 + 
       (1929055*s[59])/3564 + (6432529*s[60])/2376 - (1898387*s[61])/16038 + 
       8*s[79] - (4*s[80])/3 + 12*s[82]) + D27[w, u, v]*
      (19*s[4] + (241*s[5])/22 + (675*s[6])/22 + (9359*s[7])/33 - 
       (4511*s[8])/198 - (4303*s[9])/18 - (1277*s[10])/18 - 
       (21199*s[11])/66 - (23819*s[12])/66 - (4943*s[13])/22 - 
       (854*s[14])/33 - (2207*s[15])/6 - (10561*s[16])/22 - 
       (22919*s[17])/66 - (2525*s[18])/54 - (1247*s[19])/27 - 
       (331627*s[20])/594 - (60527*s[21])/297 + (45115*s[22])/297 + 
       (7539*s[23])/22 + (189881*s[24])/594 - (4410821*s[25])/10692 + 
       (2409059*s[26])/10692 + 2*s[35] + (2*s[36])/3 + (7*s[37])/3 + 
       14*s[38] - (93*s[39])/2 + (311*s[40])/6 - (81*s[41])/2 + 
       (391*s[42])/6 + (2809*s[43])/66 - (6263*s[44])/132 + (2249*s[45])/66 - 
       (3507*s[46])/11 + (5299*s[47])/396 + (5365*s[48])/396 - 
       (79741*s[49])/396 + (8045*s[50])/33 + (15377*s[51])/396 + 
       (14213*s[52])/396 - (1726*s[53])/11 - (114*s[54])/11 - 
       (135371*s[55])/132 - (101663*s[56])/396 + (117893*s[57])/297 - 
       (1886035*s[58])/3564 + (1929055*s[59])/3564 + (6432529*s[60])/2376 - 
       (1898387*s[61])/16038 + 8*s[79] - (4*s[80])/3 + 12*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - w]*
      ((493*s[4])/3 - (2073*s[5])/22 - (1445*s[6])/44 + (216943*s[7])/396 - 
       (293521*s[8])/1188 - (32519*s[9])/108 + (1013*s[10])/27 - 
       (546655*s[11])/792 - (907487*s[12])/792 - (57202*s[13])/99 + 
       (343363*s[14])/396 - (3587*s[15])/12 - (159149*s[16])/198 + 
       (62569*s[17])/264 - (63175*s[18])/324 + (22195*s[19])/324 - 
       (1217219*s[20])/3564 + (60700*s[21])/891 + (249100*s[22])/891 + 
       (2543293*s[23])/792 + (887585*s[24])/7128 - (76644379*s[25])/64152 + 
       (22057705*s[26])/64152 + s[35] - s[36] + (4*s[37])/3 + 24*s[38] - 
       (560*s[39])/3 + (560*s[40])/3 - (481*s[41])/3 + 319*s[42] - 
       (991*s[43])/33 - (7687*s[44])/132 + (39*s[45])/11 - (22487*s[46])/33 + 
       (39785*s[47])/198 - (72811*s[48])/198 - (20663*s[49])/198 + 
       (37297*s[50])/66 + (48799*s[51])/198 + (72407*s[52])/396 - 
       (29864*s[53])/99 + (486*s[54])/11 - (336335*s[55])/198 - 
       (19763*s[56])/22 + (836669*s[57])/198 - (659347*s[58])/297 + 
       (573850*s[59])/297 + (3771107*s[60])/1188 - (1750373*s[61])/3564 + 
       18*s[82]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 
       1 - v]*(-4*s[4] + (7157*s[5])/66 + (6563*s[6])/44 + (87949*s[7])/132 - 
       (29873*s[8])/1188 - (71623*s[9])/108 - (6338*s[10])/27 - 
       (554927*s[11])/792 - (506647*s[12])/792 - (34366*s[13])/99 - 
       (153529*s[14])/396 - (38605*s[15])/36 - (245213*s[16])/198 - 
       (852629*s[17])/792 - (122903*s[18])/324 + (68987*s[19])/324 - 
       (6315895*s[20])/3564 - (947065*s[21])/891 + (333305*s[22])/891 + 
       (973813*s[23])/792 + (2857993*s[24])/7128 - (38115647*s[25])/64152 + 
       (48660677*s[26])/64152 + s[35] - s[36] + (4*s[37])/3 + 24*s[38] - 
       (560*s[39])/3 + (560*s[40])/3 - (481*s[41])/3 + 319*s[42] - 
       (991*s[43])/33 - (7687*s[44])/132 + (39*s[45])/11 - (22487*s[46])/33 + 
       (39785*s[47])/198 - (72811*s[48])/198 - (20663*s[49])/198 + 
       (37297*s[50])/66 + (48799*s[51])/198 + (72407*s[52])/396 - 
       (29864*s[53])/99 + (486*s[54])/11 - (336335*s[55])/198 - 
       (19763*s[56])/22 + (836669*s[57])/198 - (659347*s[58])/297 + 
       (573850*s[59])/297 + (3771107*s[60])/1188 - (1750373*s[61])/3564 + 
       18*s[82]) + HPL[{1}, 1 - w]^3*HPL[{0, 1, 1, 1}, 1 - w]*
      ((129*s[4])/2 - (237*s[5])/22 + (5835*s[6])/176 + (74483*s[7])/176 - 
       (46997*s[8])/528 - (14827*s[9])/48 - (1573*s[10])/24 - 
       (167693*s[11])/352 - (207137*s[12])/352 - (14909*s[13])/44 + 
       (31643*s[14])/176 - (26285*s[15])/48 - (63285*s[16])/88 - 
       (146591*s[17])/352 - (8747*s[18])/144 - (9979*s[19])/144 - 
       (1009135*s[20])/1584 - (138581*s[21])/792 + (169651*s[22])/792 + 
       (359699*s[23])/352 + (1315843*s[24])/3168 - (20050103*s[25])/28512 + 
       (8640245*s[26])/28512 - s[37] + 10*s[38] - (145*s[39])/2 + 
       (145*s[40])/2 - (129*s[41])/2 + 118*s[42] + (679*s[43])/22 - 
       (3591*s[44])/88 + (1121*s[45])/22 - (11097*s[46])/22 + 
       (7681*s[47])/176 - (11723*s[48])/176 - (32305*s[49])/176 + 
       (35473*s[50])/88 + (39581*s[51])/528 + (4867*s[52])/88 - 
       (3272*s[53])/11 + (207*s[54])/11 - (321317*s[55])/176 - 
       (93499*s[56])/176 + (53963*s[57])/66 - (1454489*s[58])/1584 + 
       (1476611*s[59])/1584 + (3902323*s[60])/1056 - (957167*s[61])/3564 + 
       18*s[82]) + HPL[{1}, 1 - v]^3*HPL[{0, 1, 1, 1}, 1 - v]*
      ((657*s[5])/11 + (11995*s[6])/176 + (44199*s[7])/88 - 
       (13139*s[8])/528 - (22189*s[9])/48 - (2027*s[10])/12 - 
       (179067*s[11])/352 - (167581*s[12])/352 - (43037*s[13])/176 - 
       (2698*s[14])/11 - (4741*s[15])/6 - (80225*s[16])/88 - 
       (300129*s[17])/352 - (25331*s[18])/144 + (2411*s[19])/144 - 
       (1937425*s[20])/1584 - (923401*s[21])/1584 + (424013*s[22])/1584 + 
       (200903*s[23])/352 + (1459195*s[24])/3168 - (14841119*s[25])/28512 + 
       (12752309*s[26])/28512 - s[37] + 10*s[38] - (145*s[39])/2 + 
       (145*s[40])/2 - (129*s[41])/2 + 118*s[42] + (679*s[43])/22 - 
       (3591*s[44])/88 + (1121*s[45])/22 - (11097*s[46])/22 + 
       (7681*s[47])/176 - (11723*s[48])/176 - (32305*s[49])/176 + 
       (35473*s[50])/88 + (39581*s[51])/528 + (4867*s[52])/88 - 
       (3272*s[53])/11 + (207*s[54])/11 - (321317*s[55])/176 - 
       (93499*s[56])/176 + (53963*s[57])/66 - (1454489*s[58])/1584 + 
       (1476611*s[59])/1584 + (3902323*s[60])/1056 - (957167*s[61])/3564 + 
       18*s[82]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]^2*
      ((-387*s[3])/8 + (913*s[4])/16 + (2869*s[5])/88 + (6649*s[6])/176 + 
       (3619003*s[7])/3168 - (424403*s[8])/4752 - (109099*s[9])/108 - 
       (39761*s[10])/108 - (3871487*s[11])/3168 - (1036807*s[12])/792 - 
       (2538505*s[13])/3168 - (264743*s[14])/3168 - (468365*s[15])/288 - 
       (3080399*s[16])/1584 - (544593*s[17])/352 - (24725*s[18])/324 - 
       (401479*s[19])/1296 - (32192533*s[20])/14256 - 
       (20837177*s[21])/28512 + (18075469*s[22])/28512 + 
       (1185427*s[23])/1584 + (21025751*s[24])/14256 - 
       (203688973*s[25])/128304 + (101916883*s[26])/128304 - (3*s[30])/2 - 
       s[35]/2 - (119*s[36])/12 - (31*s[37])/24 + 39*s[38] - 
       (2141*s[39])/16 + (8243*s[40])/48 - (2393*s[41])/16 + 
       (9115*s[42])/48 + (91225*s[43])/528 - (187871*s[44])/1056 + 
       (106477*s[45])/528 - (396745*s[46])/264 - (148199*s[47])/3168 + 
       (309643*s[48])/3168 - (2622643*s[49])/3168 + (89645*s[50])/66 + 
       (356339*s[51])/3168 + (220325*s[52])/3168 - (738167*s[53])/792 - 
       (26381*s[54])/132 - (6478601*s[55])/1056 - (1252495*s[56])/1056 - 
       (80282*s[57])/99 - (5417201*s[58])/3168 + (709857*s[59])/352 + 
       (270028123*s[60])/19008 - (6181657*s[61])/10692 + (7*s[62])/4 - 
       4*s[68] + 4*s[69] + 11*s[76] - 4*s[77] - 6*s[78] + 52*s[79] - 
       (229*s[80])/12 + 18*s[82]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]^2*
      ((-29*s[2])/2 + (27*s[3])/2 + (205*s[4])/2 + (12961*s[5])/176 + 
       (22945*s[6])/176 + (874391*s[7])/528 - (500095*s[8])/4752 - 
       (598991*s[9])/432 - (262471*s[10])/432 - (336001*s[11])/198 - 
       (2667145*s[12])/1584 - (1468205*s[13])/1584 - (670709*s[14])/1584 - 
       (191747*s[15])/72 - (298880*s[16])/99 - (4382423*s[17])/1584 - 
       (269581*s[18])/1296 - (289615*s[19])/648 - (3214523*s[20])/891 - 
       (4542455*s[21])/3564 + (12194341*s[22])/14256 + (829313*s[23])/792 + 
       (14921345*s[24])/7128 - (537060397*s[25])/256608 + 
       (310506457*s[26])/256608 - s[27] - 11*s[31] - (31*s[33])/8 + 
       (27*s[34])/2 - s[35]/2 - (119*s[36])/12 - (31*s[37])/24 + 39*s[38] - 
       (2141*s[39])/16 + (8243*s[40])/48 - (2393*s[41])/16 + 
       (9115*s[42])/48 + (91225*s[43])/528 - (187871*s[44])/1056 + 
       (106477*s[45])/528 - (396745*s[46])/264 - (148199*s[47])/3168 + 
       (309643*s[48])/3168 - (2622643*s[49])/3168 + (89645*s[50])/66 + 
       (356339*s[51])/3168 + (220325*s[52])/3168 - (738167*s[53])/792 - 
       (26381*s[54])/132 - (6478601*s[55])/1056 - (1252495*s[56])/1056 - 
       (80282*s[57])/99 - (5417201*s[58])/3168 + (709857*s[59])/352 + 
       (270028123*s[60])/19008 - (6181657*s[61])/10692 + (7*s[62])/4 - 
       4*s[68] + 4*s[69] + 11*s[76] - 4*s[77] - 6*s[78] + 52*s[79] - 
       (229*s[80])/12 + 18*s[82]) + HPL[{1}, 1 - u]^3*
      HPL[{0, 0, 1, 1}, 1 - v]*((106*s[5])/33 - (4039*s[6])/132 + 
       (16537*s[7])/792 - (1165*s[8])/198 - (991*s[9])/36 - (751*s[10])/18 - 
       (626*s[11])/33 + (299*s[12])/33 + (27011*s[13])/396 + 
       (5209*s[14])/132 - (9367*s[15])/72 - (55943*s[16])/792 - 
       (11090*s[17])/99 + (1133*s[18])/36 - (2455*s[19])/36 - 
       (18319*s[20])/198 + (8266*s[21])/297 + (11047*s[22])/594 + 
       (7171*s[23])/792 + (274135*s[24])/2376 - (242557*s[25])/5346 - 
       (138701*s[26])/5346 - (29*s[37])/2 - (1445*s[43])/66 - 
       (2009*s[44])/132 + (212*s[45])/33 - (1585*s[46])/66 - 
       (4133*s[47])/396 - (27299*s[48])/396 + (1157*s[49])/396 + 
       (3802*s[50])/33 + (13421*s[51])/396 - (11353*s[52])/396 - 
       (30077*s[53])/396 - (4894*s[54])/33 - (114011*s[55])/396 + 
       (23225*s[56])/132 - (14357*s[57])/99 + (70949*s[58])/1188 + 
       (5329*s[59])/1188 + (1193287*s[60])/2376 + (8185*s[61])/891 + 
       21*s[82]) + HPL[{1}, 1 - v]^2*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((-3*s[3])/2 - (67*s[4])/4 + (2121*s[5])/22 + (51331*s[6])/528 + 
       (31539*s[7])/44 - (4579*s[8])/176 - (10537*s[9])/16 - 
       (3037*s[10])/12 - (725107*s[11])/1056 - (212867*s[12])/352 - 
       (152047*s[13])/528 - (40939*s[14])/88 - (83335*s[15])/72 - 
       (114991*s[16])/88 - (1377865*s[17])/1056 - (13927*s[18])/48 + 
       (1161*s[19])/16 - (964873*s[20])/528 - (470291*s[21])/528 + 
       (200807*s[22])/528 + (817915*s[23])/1056 + (1961909*s[24])/3168 - 
       (6136099*s[25])/9504 + (6014977*s[26])/9504 - 2*s[30] + s[36] + 
       (4*s[37])/3 - (175*s[38])/6 - (311*s[39])/12 + (299*s[40])/12 - 
       (77*s[41])/4 + (1033*s[42])/12 - (3589*s[43])/132 + (193*s[44])/44 - 
       (410*s[45])/33 - (7703*s[46])/44 + (7145*s[47])/176 - 
       (17847*s[48])/176 + (22675*s[49])/176 + (20965*s[50])/264 + 
       (28079*s[51])/1584 + (2205*s[52])/44 - (15025*s[53])/132 + 
       (5151*s[54])/22 - (319339*s[55])/528 - (84687*s[56])/176 + 
       (10251*s[57])/11 - (97061*s[58])/176 + (76391*s[59])/176 - 
       (69649*s[60])/1056 - (1518041*s[61])/7128 + 3*s[71] - 16*s[80] + 
       21*s[82]) + HPL[{1}, 1 - w]^2*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      (36*s[4] - (119*s[5])/2 + (567*s[6])/16 - (17819*s[7])/48 - 
       (3785*s[8])/48 + (20299*s[9])/48 + (5677*s[10])/24 + 
       (12303*s[11])/32 + (27529*s[12])/96 + (967*s[13])/6 + 
       (4963*s[14])/16 + (99247*s[15])/144 + (5673*s[16])/8 + 
       (75439*s[17])/96 + (737*s[18])/48 + (2963*s[19])/16 + 
       (18293*s[20])/16 + (32581*s[21])/72 - (16775*s[22])/72 + 
       (57901*s[23])/96 - (189457*s[24])/288 + (893621*s[25])/2592 - 
       (711407*s[26])/2592 + s[27] - 3*s[33] + 4*s[34] + s[36] + 
       (4*s[37])/3 - (175*s[38])/6 - (311*s[39])/12 + (299*s[40])/12 - 
       (77*s[41])/4 + (1033*s[42])/12 - (3589*s[43])/132 + (193*s[44])/44 - 
       (410*s[45])/33 - (7703*s[46])/44 + (7145*s[47])/176 - 
       (17847*s[48])/176 + (22675*s[49])/176 + (20965*s[50])/264 + 
       (28079*s[51])/1584 + (2205*s[52])/44 - (15025*s[53])/132 + 
       (5151*s[54])/22 - (319339*s[55])/528 - (84687*s[56])/176 + 
       (10251*s[57])/11 - (97061*s[58])/176 + (76391*s[59])/176 - 
       (69649*s[60])/1056 - (1518041*s[61])/7128 + 3*s[71] - 16*s[80] + 
       21*s[82]) + HPL[{1}, 1 - u]^2*Qep[w, u, v]*((5888*s[5])/99 - 
       (1024*s[6])/99 + (168752*s[7])/297 - (12704*s[8])/297 - 
       (13696*s[9])/27 - (7136*s[10])/27 - (5776*s[11])/11 - 
       (4688*s[12])/11 - (23680*s[13])/297 - (19808*s[14])/99 - 
       (30928*s[15])/27 - (312688*s[16])/297 - (342896*s[17])/297 - 
       (544*s[18])/9 - (5216*s[19])/27 - (141344*s[20])/99 - 
       (373088*s[21])/891 + (265664*s[22])/891 + (67328*s[23])/297 + 
       (731072*s[24])/891 - (5119088*s[25])/8019 + (2600816*s[26])/8019 - 
       (4096*s[43])/99 - (4816*s[44])/99 + (11776*s[45])/99 - 
       (18880*s[46])/33 - (1808*s[47])/297 - (36656*s[48])/297 + 
       (2960*s[49])/297 + (65024*s[50])/99 + (22864*s[51])/297 - 
       (2800*s[52])/297 - (153248*s[53])/297 - (9920*s[54])/99 - 
       (308080*s[55])/99 - (40016*s[56])/99 - (393056*s[57])/297 - 
       (295312*s[58])/891 + (410704*s[59])/891 + (4738568*s[60])/891 - 
       (928816*s[61])/2673 + (64*s[82])/3) + HPL[{1}, 1 - u]*
      HPL[{0, 1, 1, 1, 1, 1}, 1 - w]*(95*s[4] - (105*s[5])/11 + 
       (1005*s[6])/22 + (32165*s[7])/44 - (15835*s[8])/99 - (9625*s[9])/18 - 
       (925*s[10])/9 - (51625*s[11])/66 - (66455*s[12])/66 - 
       (35245*s[13])/66 + (14825*s[14])/66 - (3425*s[15])/4 - 
       (151355*s[16])/132 - (37945*s[17])/66 - (12425*s[18])/54 + 
       (1745*s[19])/54 - (709015*s[20])/594 - (233155*s[21])/594 + 
       (108145*s[22])/297 + (255895*s[23])/132 + (590995*s[24])/1188 - 
       (2914100*s[25])/2673 + (2839795*s[26])/5346 - (905*s[37])/6 + 
       10*s[38] - 105*s[39] + 105*s[40] - 95*s[41] + 185*s[42] - 
       (80*s[43])/11 - (1435*s[44])/44 + (945*s[45])/11 - (8875*s[46])/11 + 
       (14255*s[47])/132 - (25015*s[48])/132 - (3275*s[49])/132 + 
       (6825*s[50])/11 + (20665*s[51])/132 + (18055*s[52])/132 - 
       (28055*s[53])/66 + (3450*s[54])/11 - (373895*s[55])/132 - 
       (49615*s[56])/44 + (101645*s[57])/66 - (222085*s[58])/132 + 
       (64965*s[59])/44 + (3986405*s[60])/792 - (676835*s[61])/1188 + 
       30*s[82]) + HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1, 1}, 1 - v]*
      ((1050*s[5])/11 + (3095*s[6])/22 + (26090*s[7])/33 - (7525*s[8])/198 - 
       (6550*s[9])/9 - (2225*s[10])/9 - (104845*s[11])/132 - 
       (24785*s[12])/33 - (54155*s[13])/132 - (57415*s[14])/132 - 
       (3635*s[15])/3 - (181055*s[16])/132 - (54905*s[17])/44 - 
       (8735*s[18])/27 + (5335*s[19])/54 - (573655*s[20])/297 - 
       (1153315*s[21])/1188 + (471575*s[22])/1188 + (108715*s[23])/132 + 
       (739385*s[24])/1188 - (2095480*s[25])/2673 + (3975545*s[26])/5346 - 
       (905*s[37])/6 + 10*s[38] - 105*s[39] + 105*s[40] - 95*s[41] + 
       185*s[42] - (80*s[43])/11 - (1435*s[44])/44 + (945*s[45])/11 - 
       (8875*s[46])/11 + (14255*s[47])/132 - (25015*s[48])/132 - 
       (3275*s[49])/132 + (6825*s[50])/11 + (20665*s[51])/132 + 
       (18055*s[52])/132 - (28055*s[53])/66 + (3450*s[54])/11 - 
       (373895*s[55])/132 - (49615*s[56])/44 + (101645*s[57])/66 - 
       (222085*s[58])/132 + (64965*s[59])/44 + (3986405*s[60])/792 - 
       (676835*s[61])/1188 + 30*s[82]) + HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1, 1, 1}, 1 - u]*((245*s[5])/11 - (100*s[6])/11 + 
       (1885*s[7])/11 + (245*s[8])/99 - (2905*s[9])/18 - (1955*s[10])/18 - 
       (9415*s[11])/66 - (7135*s[12])/132 + (595*s[13])/132 - 
       (5585*s[14])/132 - (1465*s[15])/3 - (56735*s[16])/132 - 
       (37045*s[17])/66 + (575*s[18])/27 - (7015*s[19])/54 - 
       (138680*s[20])/297 - (242045*s[21])/1188 + (102985*s[22])/1188 + 
       (1900*s[23])/33 + (86320*s[24])/297 - (1592345*s[25])/10692 + 
       (1439975*s[26])/10692 - (875*s[37])/6 + (315*s[43])/11 + 
       (35*s[44])/11 + (490*s[45])/11 - (2135*s[46])/11 - (2285*s[47])/66 - 
       (2615*s[48])/66 - (10855*s[49])/66 + (2335*s[50])/11 - 
       (2815*s[51])/66 - (1535*s[52])/33 - (14765*s[53])/66 - 
       (2110*s[54])/11 - (94255*s[55])/66 + (565*s[56])/22 - 
       (29825*s[57])/33 + (2405*s[58])/66 + (19985*s[59])/66 + 
       (890215*s[60])/396 - (17275*s[61])/891 + 30*s[82]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 1 - u]*
      ((245*s[5])/11 - (100*s[6])/11 + (12025*s[7])/66 - (470*s[8])/99 - 
       (3035*s[9])/18 - (1825*s[10])/18 - (5065*s[11])/33 - 
       (9995*s[12])/132 - (1055*s[13])/132 - (7015*s[14])/132 - 
       (2975*s[15])/6 - (56735*s[16])/132 - (6055*s[17])/11 + 
       (475*s[18])/27 - (6425*s[19])/54 - (143575*s[20])/297 - 
       (248755*s[21])/1188 + (110135*s[22])/1188 + (1075*s[23])/33 + 
       (89180*s[24])/297 - (1722475*s[25])/10692 + (1514665*s[26])/10692 - 
       (875*s[37])/6 + (315*s[43])/11 + (35*s[44])/11 + (490*s[45])/11 - 
       (2135*s[46])/11 - (2285*s[47])/66 - (2615*s[48])/66 - 
       (10855*s[49])/66 + (2335*s[50])/11 - (2815*s[51])/66 - 
       (1535*s[52])/33 - (14765*s[53])/66 - (2110*s[54])/11 - 
       (94255*s[55])/66 + (565*s[56])/22 - (29825*s[57])/33 + 
       (2405*s[58])/66 + (19985*s[59])/66 + (890215*s[60])/396 - 
       (17275*s[61])/891 + 30*s[82]) + HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 1, 1}, 1 - v]*((-3*s[2])/2 - (431*s[4])/12 - 
       (3115*s[5])/264 - (16855*s[6])/264 - (97283*s[7])/264 + 
       (32255*s[8])/792 + (21259*s[9])/72 + (4901*s[10])/72 + 
       (100777*s[11])/264 + (107009*s[12])/264 + (32083*s[13])/132 + 
       (866*s[14])/33 + (9527*s[15])/18 + (158167*s[16])/264 + 
       (16142*s[17])/33 + (15257*s[18])/216 + (3521*s[19])/108 + 
       (202016*s[20])/297 + (595075*s[21])/2376 - (106607*s[22])/594 - 
       (145247*s[23])/264 - (859097*s[24])/2376 + (21526067*s[25])/42768 - 
       (12185867*s[26])/42768 + s[27]/6 - s[31] - (5*s[33])/4 + (2*s[34])/3 + 
       s[36]/6 + (85*s[37])/12 - (7*s[38])/6 + (901*s[39])/24 - 
       (307*s[40])/8 + (929*s[41])/24 - (503*s[42])/8 - (3381*s[43])/88 + 
       (2853*s[44])/176 - (15811*s[45])/264 + (56291*s[46])/132 - 
       (3365*s[47])/176 + (14435*s[48])/528 + (49513*s[49])/528 - 
       (19201*s[50])/66 - (6607*s[51])/176 - (26291*s[52])/528 + 
       (5625*s[53])/22 - (3459*s[54])/22 + (2590259*s[55])/1584 + 
       (265871*s[56])/528 - (14489*s[57])/132 + (969737*s[58])/1584 - 
       (1034501*s[59])/1584 - (9572501*s[60])/3168 + (1655825*s[61])/7128 + 
       s[76] - (5*s[80])/6 + 31*s[82]) + HPL[{1}, 1 - u]^2*Qep[v, w, u]*
      ((3488*s[5])/33 + (128*s[6])/33 + (31982*s[7])/33 - (17764*s[8])/297 - 
       (23444*s[9])/27 - (11836*s[10])/27 - (85754*s[11])/99 - 
       (63664*s[12])/99 - (16994*s[13])/99 - (36902*s[14])/99 - 
       (18598*s[15])/9 - (186260*s[16])/99 - (215462*s[17])/99 - 
       (5392*s[18])/81 - (29252*s[19])/81 - (2146508*s[20])/891 - 
       (746318*s[21])/891 + (441598*s[22])/891 + (27532*s[23])/99 + 
       (1232056*s[24])/891 - (8092652*s[25])/8019 + (5061164*s[26])/8019 - 
       (128*s[37])/9 + (112*s[43])/11 - (1048*s[44])/33 + (6976*s[45])/33 - 
       (32432*s[46])/33 - (4240*s[47])/99 - (15328*s[48])/99 - 
       (20720*s[49])/99 + (34288*s[50])/33 + (1168*s[51])/99 - 
       (5480*s[52])/99 - (91768*s[53])/99 - (2784*s[54])/11 - 
       (573488*s[55])/99 - (6832*s[56])/11 - (32288*s[57])/11 - 
       (113632*s[58])/297 + (297472*s[59])/297 + (2811904*s[60])/297 - 
       (1268144*s[61])/2673 + 32*s[82]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v]*((763*s[5])/44 + (179*s[6])/22 + 
       (148399*s[7])/528 - (4753*s[8])/264 - (5945*s[9])/24 - 
       (2773*s[10])/24 - (47051*s[11])/176 - (21047*s[12])/88 - 
       (69647*s[13])/528 - (16671*s[14])/176 - (21917*s[15])/48 - 
       (131965*s[16])/264 - (267391*s[17])/528 - (166*s[18])/9 - 
       (6991*s[19])/72 - (495175*s[20])/792 - (38215*s[21])/176 + 
       (236087*s[22])/1584 - (5273*s[23])/132 + (282523*s[24])/792 - 
       (769279*s[25])/2376 + (435883*s[26])/2376 + s[36] - (11*s[37])/2 - 
       6*s[38] - 9*s[39] + 9*s[40] - 21*s[41] + 21*s[42] + (287*s[43])/22 - 
       (1201*s[44])/88 + (1093*s[45])/22 - (3117*s[46])/11 - 
       (2009*s[47])/264 - (6365*s[48])/264 - (26467*s[49])/264 + 
       (3070*s[50])/11 + (3877*s[51])/264 - (3283*s[52])/264 - 
       (29515*s[53])/132 - (553*s[54])/11 - (126805*s[55])/88 - 
       (16007*s[56])/88 - (75073*s[57])/132 - (168019*s[58])/792 + 
       (270361*s[59])/792 + (4170949*s[60])/1584 - (279391*s[61])/2376 + 
       33*s[82]) + HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - u]*
      ((3536*s[5])/11 + (2686*s[6])/11 + (98239*s[7])/33 - (4336*s[8])/33 - 
       (7832*s[9])/3 - (3418*s[10])/3 - (29176*s[11])/11 - (23075*s[12])/11 - 
       (31103*s[13])/33 - (16297*s[14])/11 - (17245*s[15])/3 - 
       (181892*s[16])/33 - (204724*s[17])/33 - 470*s[18] - (2008*s[19])/3 - 
       (78596*s[20])/11 - (280927*s[21])/99 + (144655*s[22])/99 + 
       (33787*s[23])/33 + (359071*s[24])/99 - (2624773*s[25])/891 + 
       (1937335*s[26])/891 - 64*s[37] + (2032*s[43])/11 + (744*s[44])/11 + 
       (7072*s[45])/11 - (33328*s[46])/11 - (3490*s[47])/33 - 
       (3490*s[48])/33 - (18614*s[49])/33 + (27956*s[50])/11 - 
       (3686*s[51])/33 + (2212*s[52])/33 - (81232*s[53])/33 + 
       (5408*s[54])/11 - (542854*s[55])/33 - (34390*s[56])/11 - 
       (94920*s[57])/11 - (158674*s[58])/99 + (300790*s[59])/99 + 
       (2655457*s[60])/99 - (1429220*s[61])/891 + 42*s[82]) + 
     HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - v]*(164*s[3] + 402*s[4] + 
       (3092*s[5])/11 + (5529*s[6])/11 + (184298*s[7])/33 - (15671*s[8])/33 - 
       (13792*s[9])/3 - (4667*s[10])/3 - (129025*s[11])/22 - 
       (66303*s[12])/11 - (252239*s[13])/66 - (5311*s[14])/22 - 
       (24880*s[15])/3 - (623639*s[16])/66 - (542695*s[17])/66 - 
       (2011*s[18])/3 - (4618*s[19])/3 - (341753*s[20])/33 - 
       (691171*s[21])/198 + (545635*s[22])/198 + (325411*s[23])/66 + 
       (1273489*s[24])/198 - (7047596*s[25])/891 + (3593747*s[26])/891 + 
       48*s[30] - 24*s[36] + 4*s[37] + 91*s[38] - 590*s[39] + 646*s[40] - 
       485*s[41] + 861*s[42] + (4681*s[43])/11 - (4590*s[44])/11 + 
       (13466*s[45])/11 - (69854*s[46])/11 + (11512*s[47])/33 - 
       (19343*s[48])/33 - (68317*s[49])/33 + (56706*s[50])/11 + 
       (6608*s[51])/11 + (16388*s[52])/33 - (130763*s[53])/33 + 
       (2208*s[54])/11 - (848906*s[55])/33 - (60349*s[56])/11 - 
       (30706*s[57])/33 - (275173*s[58])/33 + (302474*s[59])/33 + 
       (5049557*s[60])/99 - (2855411*s[61])/891 + 48*s[76] - 72*s[80] + 
       42*s[82]) + HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - w]*
      (-72*s[2] + 83*s[4] + (7646*s[5])/11 + (3131*s[6])/11 + 
       (203207*s[7])/33 - (15517*s[8])/33 - (16868*s[9])/3 - (6148*s[10])/3 - 
       (134767*s[11])/22 - (65335*s[12])/11 - (169079*s[13])/66 - 
       (44493*s[14])/22 - (29528*s[15])/3 - (715841*s[16])/66 - 
       (677533*s[17])/66 - (16487*s[18])/9 - (6052*s[19])/9 - 
       (1449793*s[20])/99 - (137793*s[21])/22 + (629147*s[22])/198 + 
       (422167*s[23])/66 + (1243217*s[24])/198 - (2000440*s[25])/297 + 
       (1492921*s[26])/297 - 8*s[27] - 48*s[31] - 108*s[33] + 96*s[34] - 
       24*s[36] + 4*s[37] + 91*s[38] - 590*s[39] + 646*s[40] - 485*s[41] + 
       861*s[42] + (4681*s[43])/11 - (4590*s[44])/11 + (13466*s[45])/11 - 
       (69854*s[46])/11 + (11512*s[47])/33 - (19343*s[48])/33 - 
       (68317*s[49])/33 + (56706*s[50])/11 + (6608*s[51])/11 + 
       (16388*s[52])/33 - (130763*s[53])/33 + (2208*s[54])/11 - 
       (848906*s[55])/33 - (60349*s[56])/11 - (30706*s[57])/33 - 
       (275173*s[58])/33 + (302474*s[59])/33 + (5049557*s[60])/99 - 
       (2855411*s[61])/891 + 48*s[76] - 72*s[80] + 42*s[82]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1, 1}, 1 - w]*(60*s[4] - (134*s[5])/11 + 
       (423*s[6])/22 + (22963*s[7])/66 - (6143*s[8])/66 - (701*s[9])/3 - 
       (191*s[10])/6 - (17433*s[11])/44 - (6104*s[12])/11 - 
       (39685*s[13])/132 + (8847*s[14])/44 - (2053*s[15])/6 - 
       (76243*s[16])/132 - (25733*s[17])/132 - (2131*s[18])/18 + 
       (266*s[19])/9 - (95717*s[20])/198 - (20233*s[21])/132 + 
       (69655*s[22])/396 + (164315*s[23])/132 + (76561*s[24])/396 - 
       (343247*s[25])/594 + (152159*s[26])/594 - 3*s[35] + s[36] - 
       (112*s[37])/3 + 8*s[38] - 68*s[39] + 68*s[40] - 60*s[41] + 116*s[42] - 
       (309*s[43])/11 - (395*s[44])/22 + (304*s[45])/11 - (4425*s[46])/11 + 
       (5201*s[47])/66 - (10177*s[48])/66 + (787*s[49])/66 + 
       (3474*s[50])/11 + (5635*s[51])/66 + (5827*s[52])/66 - 
       (11977*s[53])/66 + (1304*s[54])/11 - (85073*s[55])/66 - 
       (13749*s[56])/22 + (50038*s[57])/33 - (216065*s[58])/198 + 
       (184859*s[59])/198 + (871133*s[60])/396 - (575605*s[61])/1782 + 
       48*s[82]) + HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1, 1}, 1 - v]*
      ((526*s[5])/11 + (1479*s[6])/22 + (13379*s[7])/33 - (1457*s[8])/66 - 
       (1100*s[9])/3 - (803*s[10])/6 - (18643*s[11])/44 - (4740*s[12])/11 - 
       (26683*s[13])/132 - (9435*s[14])/44 - (1796*s[15])/3 - 
       (94195*s[16])/132 - (74639*s[17])/132 - (4003*s[18])/18 + 
       (995*s[19])/9 - (210359*s[20])/198 - (77719*s[21])/132 + 
       (9409*s[22])/44 + (91583*s[23])/132 + (98473*s[24])/396 - 
       (330626*s[25])/891 + (382574*s[26])/891 - 3*s[35] + s[36] - 
       (112*s[37])/3 + 8*s[38] - 68*s[39] + 68*s[40] - 60*s[41] + 116*s[42] - 
       (309*s[43])/11 - (395*s[44])/22 + (304*s[45])/11 - (4425*s[46])/11 + 
       (5201*s[47])/66 - (10177*s[48])/66 + (787*s[49])/66 + 
       (3474*s[50])/11 + (5635*s[51])/66 + (5827*s[52])/66 - 
       (11977*s[53])/66 + (1304*s[54])/11 - (85073*s[55])/66 - 
       (13749*s[56])/22 + (50038*s[57])/33 - (216065*s[58])/198 + 
       (184859*s[59])/198 + (871133*s[60])/396 - (575605*s[61])/1782 + 
       48*s[82]) + HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1, 1}, 1 - w]*
      (64*s[4] - (853*s[5])/22 - (120*s[6])/11 + (7270*s[7])/33 - 
       (8968*s[8])/99 - (2155*s[9])/18 - (41*s[10])/18 - (39107*s[11])/132 - 
       (14917*s[12])/33 - (35927*s[13])/132 + (47275*s[14])/132 - 
       (965*s[15])/6 - (51791*s[16])/132 - (4901*s[17])/132 + 
       (425*s[18])/27 - (2201*s[19])/27 - (63409*s[20])/594 + 
       (94183*s[21])/1188 + (138091*s[22])/1188 + (136093*s[23])/132 + 
       (265627*s[24])/1188 - (5757107*s[25])/10692 + (1320431*s[26])/10692 + 
       8*s[35] - 8*s[36] - 12*s[37] + 12*s[38] - 74*s[39] + 74*s[40] - 
       62*s[41] + 116*s[42] + (345*s[43])/11 - (1559*s[44])/44 + 
       (5*s[45])/11 - (3200*s[46])/11 + (7529*s[47])/132 - 
       (12073*s[48])/132 - (33785*s[49])/132 + (2824*s[50])/11 + 
       (5839*s[51])/132 + (4303*s[52])/132 - (10469*s[53])/66 - 
       (2136*s[54])/11 - (119105*s[55])/132 - (7389*s[56])/44 + 
       (85049*s[57])/66 - (93811*s[58])/132 + (33731*s[59])/44 + 
       (1822103*s[60])/792 - (381889*s[61])/3564 + 48*s[82]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1, 1}, 1 - v]*(-2*s[4] + (775*s[5])/22 + 
       (496*s[6])/11 + (36989*s[7])/132 - (1513*s[8])/198 - (2437*s[9])/9 - 
       (2083*s[10])/18 - (10687*s[11])/33 - (9494*s[12])/33 - 
       (4898*s[13])/33 - (8609*s[14])/66 - (5863*s[15])/12 - 
       (73571*s[16])/132 - (5517*s[17])/11 - (2912*s[18])/27 + 
       (277*s[19])/54 - (224320*s[20])/297 - (250475*s[21])/594 + 
       (46664*s[22])/297 + (49699*s[23])/132 + (357191*s[24])/1188 - 
       (3215491*s[25])/10692 + (3433795*s[26])/10692 + 8*s[35] - 8*s[36] - 
       12*s[37] + 12*s[38] - 74*s[39] + 74*s[40] - 62*s[41] + 116*s[42] + 
       (345*s[43])/11 - (1559*s[44])/44 + (5*s[45])/11 - (3200*s[46])/11 + 
       (7529*s[47])/132 - (12073*s[48])/132 - (33785*s[49])/132 + 
       (2824*s[50])/11 + (5839*s[51])/132 + (4303*s[52])/132 - 
       (10469*s[53])/66 - (2136*s[54])/11 - (119105*s[55])/132 - 
       (7389*s[56])/44 + (85049*s[57])/66 - (93811*s[58])/132 + 
       (33731*s[59])/44 + (1822103*s[60])/792 - (381889*s[61])/3564 + 
       48*s[82]) + HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1, 1}, 1 - u]*
      ((195*s[5])/11 - (755*s[6])/44 + (27353*s[7])/132 - (793*s[8])/396 - 
       (6449*s[9])/36 - (2279*s[10])/18 - (50065*s[11])/264 - 
       (36539*s[12])/264 - (169*s[13])/44 - (2449*s[14])/66 - 
       (1819*s[15])/4 - (19933*s[16])/44 - (130835*s[17])/264 - 
       (2851*s[18])/108 - (10877*s[19])/108 - (677225*s[20])/1188 - 
       (264989*s[21])/1188 + (125683*s[22])/1188 + (19005*s[23])/88 + 
       (680975*s[24])/2376 - (4256821*s[25])/21384 + (3211795*s[26])/21384 - 
       (136*s[37])/3 + 2*s[39] - 2*s[40] + 2*s[41] - 8*s[42] + 
       (125*s[43])/11 - (112*s[44])/11 + (500*s[45])/11 - (2463*s[46])/11 - 
       (1773*s[47])/44 - (1355*s[48])/44 - (4867*s[49])/44 + 
       (5241*s[50])/22 - (3049*s[51])/132 - (383*s[52])/11 - 
       (4465*s[53])/22 - (1388*s[54])/11 - (179165*s[55])/132 - 
       (2945*s[56])/44 - (24284*s[57])/33 - (30215*s[58])/396 + 
       (115589*s[59])/396 + (627197*s[60])/264 - (71759*s[61])/891 + 
       48*s[82]) + HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1, 1}, 1 - u]*
      (-2*s[4] + (261*s[5])/11 + (125*s[6])/44 + (6742*s[7])/33 - 
       (551*s[8])/396 - (6643*s[9])/36 - (2011*s[10])/18 - 
       (50351*s[11])/264 - (33547*s[12])/264 - (915*s[13])/22 - 
       (10453*s[14])/132 - (1402*s[15])/3 - (19537*s[16])/44 - 
       (139525*s[17])/264 + (1237*s[18])/108 - (12871*s[19])/108 - 
       (623479*s[20])/1188 - (60013*s[21])/297 + (62935*s[22])/594 - 
       (1895*s[23])/88 + (809719*s[24])/2376 - (4644461*s[25])/21384 + 
       (3212939*s[26])/21384 - (136*s[37])/3 + 2*s[39] - 2*s[40] + 2*s[41] - 
       8*s[42] + (125*s[43])/11 - (112*s[44])/11 + (500*s[45])/11 - 
       (2463*s[46])/11 - (1773*s[47])/44 - (1355*s[48])/44 - 
       (4867*s[49])/44 + (5241*s[50])/22 - (3049*s[51])/132 - 
       (383*s[52])/11 - (4465*s[53])/22 - (1388*s[54])/11 - 
       (179165*s[55])/132 - (2945*s[56])/44 - (24284*s[57])/33 - 
       (30215*s[58])/396 + (115589*s[59])/396 + (627197*s[60])/264 - 
       (71759*s[61])/891 + 48*s[82]) + HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - u]*
      (-24*s[2] - 64*s[3] - 110*s[4] + (808*s[5])/11 - (10712*s[6])/11 + 
       (2478*s[7])/11 + (4640*s[8])/33 - (1628*s[9])/3 - (3322*s[10])/3 + 
       (7014*s[11])/11 + (18208*s[12])/11 + (20194*s[13])/11 - 
       (2404*s[14])/11 - (9154*s[15])/3 - (12920*s[16])/11 - 
       (38160*s[17])/11 + (5252*s[18])/9 - (13940*s[19])/9 - 
       (183632*s[20])/99 - (8600*s[21])/99 + (14140*s[22])/99 - 
       (60674*s[23])/11 + (160642*s[24])/99 + (1013818*s[25])/891 - 
       (656806*s[26])/891 - 8*s[32] - 80*s[37] - 72*s[38] + 512*s[39] - 
       544*s[40] + 220*s[41] - 724*s[42] - (4524*s[43])/11 + 
       (6728*s[44])/11 + (4784*s[45])/11 + (2136*s[46])/11 - 
       (1288*s[47])/11 - (8108*s[48])/11 + (10860*s[49])/11 + 
       (19640*s[50])/11 - (8504*s[51])/33 - (5232*s[52])/11 - 
       (13716*s[53])/11 - (15360*s[54])/11 - (100776*s[55])/11 + 
       (19708*s[56])/11 - (645472*s[57])/33 + (583100*s[58])/99 - 
       (390032*s[59])/99 + (296744*s[60])/33 + (202520*s[61])/891 + 
       64*s[63] - 32*s[69] + 72*s[82]) + D28[w, u, v]*
      ((3*s[3])/2 - (67*s[4])/4 - (43*s[5])/22 - (1911*s[6])/44 - 
       (36691*s[7])/264 + (15769*s[8])/1188 + (3212*s[9])/27 - 
       (107*s[10])/27 + (126865*s[11])/792 + (18640*s[12])/99 + 
       (119131*s[13])/792 - (1427*s[14])/792 + (8255*s[15])/72 + 
       (64577*s[16])/396 + (64015*s[17])/792 + (3331*s[18])/81 - 
       (8371*s[19])/324 + (657167*s[20])/3564 + (617803*s[21])/7128 - 
       (494843*s[22])/7128 - (125791*s[23])/396 - (236461*s[24])/3564 + 
       (7005539*s[25])/32076 - (4100141*s[26])/32076 + s[36] - (35*s[37])/6 - 
       32*s[38] + (267*s[39])/4 - (287*s[40])/4 + (243*s[41])/4 - 
       (331*s[42])/4 - (3181*s[43])/44 + (4303*s[44])/88 - 
       (10309*s[45])/132 + (16633*s[46])/33 - (2139*s[47])/88 - 
       (1369*s[48])/88 + (22257*s[49])/88 - (4126*s[50])/11 - 
       (20531*s[51])/264 - (5887*s[52])/88 + (25703*s[53])/99 - 
       (860*s[54])/33 + (149201*s[55])/88 + (345407*s[56])/792 - 
       (264515*s[57])/594 + (5698111*s[58])/7128 - (5770363*s[59])/7128 - 
       (6697759*s[60])/1584 + (6369071*s[61])/32076 + 2*s[71] - 8*s[79] - 
       (29*s[80])/3 + 72*s[82]) + D28[v, w, u]*(-44*s[4] - (1517*s[5])/44 - 
       (2545*s[6])/44 - (34271*s[7])/44 + (1809*s[8])/44 + (2747*s[9])/4 + 
       (881*s[10])/4 + (9253*s[11])/11 + (39495*s[12])/44 + 
       (23951*s[13])/44 + (5259*s[14])/44 + 1088*s[15] + (14259*s[16])/11 + 
       (45047*s[17])/44 + (473*s[18])/4 + (285*s[19])/2 + (17573*s[20])/11 + 
       (37073*s[21])/66 - (55469*s[22])/132 - (15259*s[23])/22 - 
       (29608*s[24])/33 + (2529655*s[25])/2376 - (1385899*s[26])/2376 - 
       3*s[33] + 4*s[34] + s[36] - (35*s[37])/6 - 32*s[38] + (267*s[39])/4 - 
       (287*s[40])/4 + (243*s[41])/4 - (331*s[42])/4 - (3181*s[43])/44 + 
       (4303*s[44])/88 - (10309*s[45])/132 + (16633*s[46])/33 - 
       (2139*s[47])/88 - (1369*s[48])/88 + (22257*s[49])/88 - 
       (4126*s[50])/11 - (20531*s[51])/264 - (5887*s[52])/88 + 
       (25703*s[53])/99 - (860*s[54])/33 + (149201*s[55])/88 + 
       (345407*s[56])/792 - (264515*s[57])/594 + (5698111*s[58])/7128 - 
       (5770363*s[59])/7128 - (6697759*s[60])/1584 + (6369071*s[61])/32076 + 
       2*s[71] - 8*s[79] - (29*s[80])/3 + 72*s[82]) + 
     HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - w]*(-80*s[3] + 348*s[4] + 
       (2172*s[5])/11 - (878*s[6])/11 + (475898*s[7])/99 - (11002*s[8])/33 - 
       3912*s[9] - (5782*s[10])/3 - (155717*s[11])/33 - (46120*s[12])/11 - 
       (276415*s[13])/99 + (12511*s[14])/33 - (79214*s[15])/9 - 
       (863389*s[16])/99 - (872573*s[17])/99 + (16754*s[18])/27 - 
       (78404*s[19])/27 - (2531732*s[20])/297 - (603487*s[21])/297 + 
       (243919*s[22])/99 - (43861*s[23])/99 + (84327*s[24])/11 - 
       (18342766*s[25])/2673 + (7205518*s[26])/2673 - 16*s[30] + 32*s[35] - 
       (272*s[36])/3 - 16*s[37] + 108*s[38] - 164*s[39] + (476*s[40])/3 - 
       238*s[41] + (550*s[42])/3 + (18130*s[43])/33 - (4588*s[44])/33 + 
       (14266*s[45])/11 - (184156*s[46])/33 - (13726*s[47])/99 - 
       (25276*s[48])/99 - (233492*s[49])/99 + (180712*s[50])/33 + 
       (15430*s[51])/99 + (1972*s[52])/99 - (443258*s[53])/99 - 
       (45904*s[54])/33 - (966178*s[55])/33 - (320048*s[56])/99 - 
       (4883884*s[57])/297 - (2118580*s[58])/891 + (4625818*s[59])/891 + 
       (16379545*s[60])/297 - (16432810*s[61])/8019 + 16*s[62] + 48*s[76] - 
       64*s[79] + 48*s[80] + 72*s[82]) + HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - v]*
      (-72*s[2] - 110*s[4] + (9212*s[5])/11 - (966*s[6])/11 + 
       (196414*s[7])/33 - (2042*s[8])/297 - (155560*s[9])/27 - 
       (73724*s[10])/27 - (516145*s[11])/99 - (381794*s[12])/99 - 
       (101053*s[13])/99 - (346147*s[14])/99 - (104480*s[15])/9 - 
       (1107655*s[16])/99 - (1261423*s[17])/99 - (113702*s[18])/81 - 
       (108280*s[19])/81 - (14314612*s[20])/891 - (5938057*s[21])/891 + 
       (2764433*s[22])/891 + (8741*s[23])/99 + (6387737*s[24])/891 - 
       (40309000*s[25])/8019 + (35249668*s[26])/8019 - 8*s[27] - 48*s[31] - 
       60*s[33] + 32*s[34] + 32*s[35] - (272*s[36])/3 - 16*s[37] + 
       108*s[38] - 164*s[39] + (476*s[40])/3 - 238*s[41] + (550*s[42])/3 + 
       (18130*s[43])/33 - (4588*s[44])/33 + (14266*s[45])/11 - 
       (184156*s[46])/33 - (13726*s[47])/99 - (25276*s[48])/99 - 
       (233492*s[49])/99 + (180712*s[50])/33 + (15430*s[51])/99 + 
       (1972*s[52])/99 - (443258*s[53])/99 - (45904*s[54])/33 - 
       (966178*s[55])/33 - (320048*s[56])/99 - (4883884*s[57])/297 - 
       (2118580*s[58])/891 + (4625818*s[59])/891 + (16379545*s[60])/297 - 
       (16432810*s[61])/8019 + 16*s[62] + 48*s[76] - 64*s[79] + 48*s[80] + 
       72*s[82]) + HPL[{1}, 1 - u]^2*Qep[u, v, w]*((8608*s[5])/99 - 
       (2048*s[6])/99 + (239230*s[7])/297 - (5228*s[8])/99 - (6508*s[9])/9 - 
       388*s[10] - (72442*s[11])/99 - (54728*s[12])/99 - (33038*s[13])/297 - 
       (27230*s[14])/99 - (46898*s[15])/27 - (471860*s[16])/297 - 
       (537490*s[17])/297 - (3920*s[18])/81 - (26644*s[19])/81 - 
       (1820524*s[20])/891 - (593606*s[21])/891 + (124786*s[22])/297 + 
       (71956*s[23])/297 + (359576*s[24])/297 - (6946052*s[25])/8019 + 
       (3998804*s[26])/8019 + (128*s[37])/9 - (1328*s[43])/99 - 
       (4088*s[44])/99 + (17216*s[45])/99 - (9008*s[46])/11 - 
       (9424*s[47])/297 - (45856*s[48])/297 - (51632*s[49])/297 + 
       (91504*s[50])/99 + (9296*s[51])/297 - (16424*s[52])/297 - 
       (232312*s[53])/297 - (31456*s[54])/99 - (53072*s[55])/11 - 
       (45712*s[56])/99 - (696352*s[57])/297 - (273824*s[58])/891 + 
       (691520*s[59])/891 + (7240000*s[60])/891 - (360784*s[61])/891 + 
       (224*s[82])/3) + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 1 - v]*
      (12*s[3] + 259*s[4] + (890*s[5])/11 + (4118*s[6])/11 + 
       (105728*s[7])/33 - (85495*s[8])/297 - (72578*s[9])/27 - 
       (18655*s[10])/27 - (368264*s[11])/99 - (861665*s[12])/198 - 
       (267116*s[13])/99 - (7135*s[14])/198 - (34462*s[15])/9 - 
       (518021*s[16])/99 - (668935*s[17])/198 - (39076*s[18])/81 - 
       (41189*s[19])/81 - (10740559*s[20])/1782 - (1805405*s[21])/891 + 
       (3079289*s[22])/1782 + (829901*s[23])/198 + (6384911*s[24])/1782 - 
       (79269775*s[25])/16038 + (20006729*s[26])/8019 + 16*s[30] - 2*s[35] - 
       (88*s[36])/3 + 30*s[37] + 172*s[38] - 587*s[39] + (2017*s[40])/3 - 
       507*s[41] + (2429*s[42])/3 + (17087*s[43])/33 - (37195*s[44])/66 + 
       (4365*s[45])/11 - (120614*s[46])/33 + (17758*s[47])/99 + 
       (14161*s[48])/99 - (228262*s[49])/99 + (89669*s[50])/33 + 
       (55511*s[51])/99 + (92599*s[52])/198 - (167314*s[53])/99 + 
       (4024*s[54])/33 - (118293*s[55])/11 - (301417*s[56])/99 + 
       (1682869*s[57])/297 - (5629496*s[58])/891 + (5543591*s[59])/891 + 
       (18173971*s[60])/594 - (21740689*s[61])/16038 + 88*s[79] - 30*s[80] + 
       84*s[82]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 1 - w]*
      (248*s[4] + (1011*s[5])/11 + (3887*s[6])/11 + (318856*s[7])/99 - 
       (26698*s[8])/99 - (24506*s[9])/9 - (6757*s[10])/9 - (82021*s[11])/22 - 
       (141970*s[12])/33 - (272033*s[13])/99 - (1707*s[14])/22 - 
       (34378*s[15])/9 - (517955*s[16])/99 - (345286*s[17])/99 - 
       (4484*s[18])/9 - (4865*s[19])/9 - (1188971*s[20])/198 - 
       (601435*s[21])/297 + (1028945*s[22])/594 + (405628*s[23])/99 + 
       (1068913*s[24])/297 - (13194922*s[25])/2673 + (13250285*s[26])/5346 - 
       12*s[33] - 2*s[34] - 2*s[35] - (88*s[36])/3 + 30*s[37] + 172*s[38] - 
       587*s[39] + (2017*s[40])/3 - 507*s[41] + (2429*s[42])/3 + 
       (17087*s[43])/33 - (37195*s[44])/66 + (4365*s[45])/11 - 
       (120614*s[46])/33 + (17758*s[47])/99 + (14161*s[48])/99 - 
       (228262*s[49])/99 + (89669*s[50])/33 + (55511*s[51])/99 + 
       (92599*s[52])/198 - (167314*s[53])/99 + (4024*s[54])/33 - 
       (118293*s[55])/11 - (301417*s[56])/99 + (1682869*s[57])/297 - 
       (5629496*s[58])/891 + (5543591*s[59])/891 + (18173971*s[60])/594 - 
       (21740689*s[61])/16038 + 88*s[79] - 30*s[80] + 84*s[82]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]^2*((35*s[3])/2 + (223*s[4])/4 - 
       (515*s[5])/44 - (332*s[6])/11 + (284761*s[7])/792 - (30049*s[8])/594 - 
       (28969*s[9])/108 - (13349*s[10])/108 - (345365*s[11])/792 - 
       (101881*s[12])/198 - (259687*s[13])/792 + (184495*s[14])/792 - 
       (37505*s[15])/72 - (259439*s[16])/396 - (117643*s[17])/264 + 
       (27553*s[18])/324 - (96193*s[19])/324 - (1837633*s[20])/3564 + 
       (10471*s[21])/7128 + (1287223*s[22])/7128 + (15712*s[23])/99 + 
       (582710*s[24])/891 - (45949823*s[25])/64152 + (11454155*s[26])/64152 + 
       2*s[30] + s[36]/3 + (139*s[37])/12 + (7*s[38])/2 - (117*s[39])/4 + 
       (443*s[40])/12 - 16*s[41] + (106*s[42])/3 + (2485*s[43])/132 - 
       (10625*s[44])/264 + (12917*s[45])/264 - (56425*s[46])/264 + 
       (15013*s[47])/792 - (18581*s[48])/792 - (162607*s[49])/792 + 
       (8068*s[50])/33 + (15821*s[51])/792 - (9793*s[52])/792 - 
       (119975*s[53])/792 - (24755*s[54])/132 - (78667*s[55])/88 + 
       (16391*s[56])/264 - (128987*s[57])/396 - (56095*s[58])/396 + 
       (21959*s[59])/88 + (707038*s[60])/297 - (2184319*s[61])/42768 + 
       (3*s[71])/2 + 9*s[76] - (119*s[80])/6 + 102*s[82]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]^2*((-27*s[2])/2 - (159*s[4])/4 + 
       (4837*s[5])/88 - (4069*s[6])/88 + (613*s[7])/66 - (8765*s[8])/2376 - 
       (10651*s[9])/216 - (12731*s[10])/216 + (10157*s[11])/792 + 
       (54931*s[12])/792 + (53131*s[13])/396 - (26041*s[14])/198 - 
       (8015*s[15])/72 - (37529*s[16])/396 - (24380*s[17])/99 - 
       (33701*s[18])/648 - (2222*s[19])/81 - (902837*s[20])/3564 - 
       (1337041*s[21])/7128 + (17515*s[22])/3564 - (15887*s[23])/99 + 
       (66149*s[24])/1782 + (16494439*s[25])/128304 + 
       (5321957*s[26])/128304 - s[27] - 9*s[31] - (69*s[33])/4 + 18*s[34] + 
       s[36]/3 + (139*s[37])/12 + (7*s[38])/2 - (117*s[39])/4 + 
       (443*s[40])/12 - 16*s[41] + (106*s[42])/3 + (2485*s[43])/132 - 
       (10625*s[44])/264 + (12917*s[45])/264 - (56425*s[46])/264 + 
       (15013*s[47])/792 - (18581*s[48])/792 - (162607*s[49])/792 + 
       (8068*s[50])/33 + (15821*s[51])/792 - (9793*s[52])/792 - 
       (119975*s[53])/792 - (24755*s[54])/132 - (78667*s[55])/88 + 
       (16391*s[56])/264 - (128987*s[57])/396 - (56095*s[58])/396 + 
       (21959*s[59])/88 + (707038*s[60])/297 - (2184319*s[61])/42768 + 
       (3*s[71])/2 + 9*s[76] - (119*s[80])/6 + 102*s[82]) + 
     HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - u]*((10688*s[5])/11 + (7892*s[6])/11 + 
       (295103*s[7])/33 - (12754*s[8])/33 - (23576*s[9])/3 - 
       (10360*s[10])/3 - (87295*s[11])/11 - (67967*s[12])/11 - 
       (90886*s[13])/33 - (48624*s[14])/11 - (52489*s[15])/3 - 
       (549913*s[16])/33 - (624329*s[17])/33 - (12026*s[18])/9 - 
       (19054*s[19])/9 - (2127670*s[20])/99 - (282130*s[21])/33 + 
       (434188*s[22])/99 + (97640*s[23])/33 + (1091272*s[24])/99 - 
       (2617937*s[25])/297 + (1941353*s[26])/297 - 192*s[37] + 
       (6620*s[43])/11 + (2784*s[44])/11 + (21376*s[45])/11 - 
       (100260*s[46])/11 - (11354*s[47])/33 - (11354*s[48])/33 - 
       (61726*s[49])/33 + (84476*s[50])/11 - (12878*s[51])/33 + 
       (6476*s[52])/33 - (248114*s[53])/33 + (13828*s[54])/11 - 
       (550590*s[55])/11 - (100550*s[56])/11 - (882224*s[57])/33 - 
       (443446*s[58])/99 + (909550*s[59])/99 + (8048837*s[60])/99 - 
       (1395778*s[61])/297 + 114*s[82]) + HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - v]*
      (444*s[3] + 1294*s[4] + (9106*s[5])/11 + (13626*s[6])/11 + 
       (1722323*s[7])/99 - (450962*s[8])/297 - (387049*s[9])/27 - 
       (137867*s[10])/27 - (1803979*s[11])/99 - (3666007*s[12])/198 - 
       (2365111*s[13])/198 - (11861*s[14])/198 - (235501*s[15])/9 - 
       (5835151*s[16])/198 - (284805*s[17])/11 - (144656*s[18])/81 - 
       (436291*s[19])/81 - (28143109*s[20])/891 - (18325493*s[21])/1782 + 
       (15284299*s[22])/1782 + (1451863*s[23])/99 + (18245903*s[24])/891 - 
       (398072657*s[25])/16038 + (196008023*s[26])/16038 + 80*s[30] - 
       (56*s[36])/3 + (52*s[37])/3 + 260*s[38] - 1814*s[39] + 
       (5978*s[40])/3 - 1467*s[41] + (7963*s[42])/3 + (43645*s[43])/33 - 
       (41848*s[44])/33 + (128050*s[45])/33 - (656126*s[46])/33 + 
       (107654*s[47])/99 - (193273*s[48])/99 - (667559*s[49])/99 + 
       (548938*s[50])/33 + (181774*s[51])/99 + (143320*s[52])/99 - 
       (1258111*s[53])/99 - (16724*s[54])/33 - (2711494*s[55])/33 - 
       (531073*s[56])/33 - (162262*s[57])/33 - (7530907*s[58])/297 + 
       (8423344*s[59])/297 + (47976436*s[60])/297 - (26239181*s[61])/2673 + 
       144*s[76] - (616*s[80])/3 + 114*s[82]) + 
     HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - w]*(-216*s[2] + 173*s[4] + 
       (24572*s[5])/11 + (7818*s[6])/11 + (213500*s[7])/11 - 
       (424276*s[8])/297 - (481337*s[9])/27 - (180352*s[10])/27 - 
       (1894157*s[11])/99 - (3621413*s[12])/198 - (1498399*s[13])/198 - 
       (1291051*s[14])/198 - (284473*s[15])/9 - (6825217*s[16])/198 - 
       (3264341*s[17])/99 - (470818*s[18])/81 - (175943*s[19])/81 - 
       (41690951*s[20])/891 - (35762935*s[21])/1782 + (17919899*s[22])/1782 + 
       (1910464*s[23])/99 + (17653366*s[24])/891 - (333506287*s[25])/16038 + 
       (253289269*s[26])/16038 - 24*s[27] - 144*s[31] - 276*s[33] + 
       288*s[34] - (56*s[36])/3 + (52*s[37])/3 + 260*s[38] - 1814*s[39] + 
       (5978*s[40])/3 - 1467*s[41] + (7963*s[42])/3 + (43645*s[43])/33 - 
       (41848*s[44])/33 + (128050*s[45])/33 - (656126*s[46])/33 + 
       (107654*s[47])/99 - (193273*s[48])/99 - (667559*s[49])/99 + 
       (548938*s[50])/33 + (181774*s[51])/99 + (143320*s[52])/99 - 
       (1258111*s[53])/99 - (16724*s[54])/33 - (2711494*s[55])/33 - 
       (531073*s[56])/33 - (162262*s[57])/33 - (7530907*s[58])/297 + 
       (8423344*s[59])/297 + (47976436*s[60])/297 - (26239181*s[61])/2673 + 
       144*s[76] - (616*s[80])/3 + 114*s[82]) + HPL[{1}, 1 - v]*
      HPL[{0, 1, 0, 1, 1, 1}, 1 - v]*(12*s[3] - 22*s[4] - (4313*s[5])/44 - 
       (2999*s[6])/44 - (189877*s[7])/198 + (67955*s[8])/1188 + 
       (91771*s[9])/108 + (36407*s[10])/108 + (173225*s[11])/198 + 
       (69638*s[12])/99 + (46301*s[13])/99 + (29695*s[14])/99 + 
       (58861*s[15])/36 + (322543*s[16])/198 + (77559*s[17])/44 + 
       (77873*s[18])/324 + (9943*s[19])/81 + (3457901*s[20])/1782 + 
       (3004675*s[21])/3564 - (840091*s[22])/1782 - (345001*s[23])/396 - 
       (3260315*s[24])/3564 + (64973951*s[25])/64152 - 
       (45558215*s[26])/64152 + 16*s[30] - (40*s[36])/3 - s[37]/12 + 
       (49*s[38])/2 + 56*s[39] - (176*s[40])/3 + (143*s[41])/4 - 
       (1513*s[42])/12 - (559*s[43])/33 - (257*s[44])/132 - 
       (35411*s[45])/264 + (197245*s[46])/264 - (7511*s[47])/99 + 
       (39461*s[48])/198 + (1424*s[49])/99 - (20698*s[50])/33 - 
       (26203*s[51])/396 - (33703*s[52])/396 + (457859*s[53])/792 - 
       (10993*s[54])/132 + (233467*s[55])/66 + (99359*s[56])/132 + 
       (14363*s[57])/396 + (808057*s[58])/792 - (433849*s[59])/396 - 
       (22047721*s[60])/4752 + (19441231*s[61])/42768 - (3*s[71])/2 - 
       3*s[76] + (53*s[80])/6 + 114*s[82]) + HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1, 1}, 1 - w]*((9*s[2])/2 - (55*s[4])/4 - 
       (3999*s[5])/88 - (3793*s[6])/88 - (5347*s[7])/11 + 
       (220103*s[8])/2376 + (87457*s[9])/216 + (24593*s[10])/216 + 
       (303817*s[11])/792 + (270275*s[12])/792 + (12773*s[13])/396 + 
       (9335*s[14])/99 + (61097*s[15])/72 + (317147*s[16])/396 + 
       (79346*s[17])/99 + (167639*s[18])/648 - (9262*s[19])/81 + 
       (3903095*s[20])/3564 + (3787615*s[21])/7128 - (769807*s[22])/3564 - 
       (109423*s[23])/99 - (154984*s[24])/891 + (51616355*s[25])/128304 - 
       (52513367*s[26])/128304 + 3*s[31] - (21*s[33])/4 - 6*s[34] - 
       (40*s[36])/3 - s[37]/12 + (49*s[38])/2 + 56*s[39] - (176*s[40])/3 + 
       (143*s[41])/4 - (1513*s[42])/12 - (559*s[43])/33 - (257*s[44])/132 - 
       (35411*s[45])/264 + (197245*s[46])/264 - (7511*s[47])/99 + 
       (39461*s[48])/198 + (1424*s[49])/99 - (20698*s[50])/33 - 
       (26203*s[51])/396 - (33703*s[52])/396 + (457859*s[53])/792 - 
       (10993*s[54])/132 + (233467*s[55])/66 + (99359*s[56])/132 + 
       (14363*s[57])/396 + (808057*s[58])/792 - (433849*s[59])/396 - 
       (22047721*s[60])/4752 + (19441231*s[61])/42768 - (3*s[71])/2 - 
       3*s[76] + (53*s[80])/6 + 114*s[82]) + HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1, 1}, 1 - v]*((-455*s[5])/2 - (1895*s[6])/4 - 
       (26245*s[7])/12 + (925*s[8])/12 + (22615*s[9])/12 + (1460*s[10])/3 + 
       (18475*s[11])/8 + (20345*s[12])/8 + (15605*s[13])/12 + 
       (2595*s[14])/2 + (9935*s[15])/4 + (42785*s[16])/12 + 
       (65675*s[17])/24 + (4865*s[18])/4 - (8485*s[19])/12 + 
       (20845*s[20])/4 + (97735*s[21])/36 - (41185*s[22])/36 - 
       (107375*s[23])/24 - (96845*s[24])/72 + (1513355*s[25])/648 - 
       (1390145*s[26])/648 - (5*s[35])/2 + (5*s[36])/2 + 5*s[37] - 70*s[38] + 
       375*s[39] - 391*s[40] + 370*s[41] - 600*s[42] - 375*s[43] + 
       240*s[44] - (175*s[45])/2 + 2120*s[46] - (935*s[47])/12 - 
       (4085*s[48])/12 + (14315*s[49])/12 - (2095*s[50])/2 - 
       (4285*s[51])/12 - (1150*s[52])/3 + (4415*s[53])/6 - 990*s[54] + 
       (16625*s[55])/4 + (11335*s[56])/4 - (20935*s[57])/3 + 
       (18925*s[58])/4 - (49985*s[59])/12 - (967025*s[60])/72 + 
       (346075*s[61])/324 + 120*s[82]) + HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1, 1, 1}, 1 - w]*(-370*s[4] + (295*s[5])/2 - 
       (2395*s[6])/4 - (8845*s[7])/6 + (3335*s[8])/12 + (10745*s[9])/12 - 
       (560*s[10])/3 + (16165*s[11])/8 + (21805*s[12])/8 + (13615*s[13])/6 - 
       (3055*s[14])/4 + (2290*s[15])/3 + (23585*s[16])/12 + (7205*s[17])/24 - 
       (2035*s[18])/36 + (8635*s[19])/36 + (31415*s[20])/36 - (65*s[21])/2 - 
       (6260*s[22])/9 - (72575*s[23])/24 - (122425*s[24])/72 + 
       (718535*s[25])/216 - (257105*s[26])/216 - (5*s[35])/2 + (5*s[36])/2 + 
       5*s[37] - 70*s[38] + 375*s[39] - 391*s[40] + 370*s[41] - 600*s[42] - 
       375*s[43] + 240*s[44] - (175*s[45])/2 + 2120*s[46] - (935*s[47])/12 - 
       (4085*s[48])/12 + (14315*s[49])/12 - (2095*s[50])/2 - 
       (4285*s[51])/12 - (1150*s[52])/3 + (4415*s[53])/6 - 990*s[54] + 
       (16625*s[55])/4 + (11335*s[56])/4 - (20935*s[57])/3 + 
       (18925*s[58])/4 - (49985*s[59])/12 - (967025*s[60])/72 + 
       (346075*s[61])/324 + 120*s[82]) + HPL[{1}, 1 - v]^2*Qep[u, w, v]*
      ((-1784*s[5])/33 - (17026*s[6])/99 - (45064*s[7])/99 + 
       (3914*s[8])/297 + (11974*s[9])/27 + (2456*s[10])/27 + 
       (5601*s[11])/11 + (51131*s[12])/99 + (38146*s[13])/99 + 
       (27604*s[14])/99 + (9932*s[15])/27 + (21052*s[16])/33 + 
       (37267*s[17])/99 + (31970*s[18])/81 - (28706*s[19])/81 + 
       (899494*s[20])/891 + (663082*s[21])/891 - (224186*s[22])/891 - 
       (112649*s[23])/99 + (37387*s[24])/891 + (3444037*s[25])/8019 - 
       (4773391*s[26])/8019 + (256*s[37])/9 - (112*s[38])/9 + 
       (1568*s[39])/9 - (1568*s[40])/9 + (512*s[41])/3 - (2800*s[42])/9 - 
       (1136*s[43])/99 + (1304*s[44])/33 + (2672*s[45])/99 + 
       (4960*s[46])/11 - (5438*s[47])/33 + (8554*s[48])/33 - (98*s[49])/33 - 
       (23084*s[50])/99 - (77474*s[51])/297 - (8608*s[52])/33 + 
       (1456*s[53])/33 - (3584*s[54])/11 - (1274*s[55])/33 + 
       (77854*s[56])/99 - (1412392*s[57])/297 + (1815650*s[58])/891 - 
       (1358054*s[59])/891 - (28997*s[60])/99 + (2994452*s[61])/8019 + 
       128*s[82]) + HPL[{1}, 1 - v]^2*Qep[v, u, w]*((-928*s[5])/11 - 
       (6706*s[6])/33 - (8116*s[7])/11 + (2306*s[8])/99 + (6334*s[9])/9 + 
       (1640*s[10])/9 + (25721*s[11])/33 + (25559*s[12])/33 + 
       (16078*s[13])/33 + (14200*s[14])/33 + (7592*s[15])/9 + 
       (38356*s[16])/33 + (9969*s[17])/11 + (13010*s[18])/27 - 
       (9314*s[19])/27 + (505102*s[20])/297 + (310534*s[21])/297 - 
       (118790*s[22])/297 - (48077*s[23])/33 - (74969*s[24])/297 + 
       (1916437*s[25])/2673 - (2188255*s[26])/2673 + (128*s[37])/3 - 
       (64*s[38])/3 + (608*s[39])/3 - (608*s[40])/3 + 192*s[41] - 352*s[42] - 
       (688*s[43])/33 + (1796*s[44])/33 - (640*s[45])/33 + (23984*s[46])/33 - 
       (6206*s[47])/33 + (8842*s[48])/33 + (618*s[49])/11 - 
       (15148*s[50])/33 - (31286*s[51])/99 - (3004*s[52])/11 + 
       (7504*s[53])/33 - (12064*s[54])/33 + (36598*s[55])/33 + 
       (36842*s[56])/33 - (157808*s[57])/33 + (26682*s[58])/11 - 
       (63674*s[59])/33 - (242941*s[60])/99 + (475720*s[61])/891 + 
       128*s[82]) + HPL[{1}, 1 - w]^2*Qep[v, u, w]*
      (-288*s[4] + (4144*s[5])/33 - (7094*s[6])/33 - (103346*s[7])/99 + 
       (92254*s[8])/297 + (17714*s[9])/27 - (2468*s[10])/27 + 
       (133391*s[11])/99 + (188011*s[12])/99 + (125584*s[13])/99 - 
       (100450*s[14])/99 + (7306*s[15])/9 + (151780*s[16])/99 + 
       (6847*s[17])/33 + (9346*s[18])/81 + (6578*s[19])/81 + 
       (660146*s[20])/891 + (2324*s[21])/891 - (455860*s[22])/891 - 
       (382313*s[23])/99 - (727081*s[24])/891 + (18116141*s[25])/8019 - 
       (6305711*s[26])/8019 + (128*s[37])/9 - (128*s[38])/3 + (928*s[39])/3 - 
       (928*s[40])/3 + 288*s[41] - (1504*s[42])/3 - (5584*s[43])/33 + 
       (4948*s[44])/33 - (640*s[45])/11 + (15888*s[46])/11 - 
       (18454*s[47])/99 + (19826*s[48])/99 + (62710*s[49])/99 - 
       (30308*s[50])/33 - (33050*s[51])/99 - (31388*s[52])/99 + 
       (64016*s[53])/99 - (3616*s[54])/11 + (350062*s[55])/99 + 
       (55526*s[56])/33 - (62240*s[57])/11 + (1040738*s[58])/297 - 
       (971990*s[59])/297 - (2499617*s[60])/297 + (1995152*s[61])/2673 + 
       128*s[82]) + HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - u]*
      (-72*s[2] - 192*s[3] - 211*s[4] + (4232*s[5])/11 - (31272*s[6])/11 + 
       (106303*s[7])/33 + (8084*s[8])/33 - (11510*s[9])/3 - (12625*s[10])/3 - 
       (7471*s[11])/11 + (26264*s[12])/11 + (135649*s[13])/33 - 
       (10464*s[14])/11 - 13169*s[15] - (264416*s[16])/33 - 
       (478870*s[17])/33 + (4280*s[18])/3 - 5398*s[19] - (354284*s[20])/33 - 
       (202234*s[21])/99 + (172708*s[22])/99 - (486989*s[23])/33 + 
       (788281*s[24])/99 + (101801*s[25])/891 - (385427*s[26])/891 - 
       24*s[32] - 240*s[37] - 132*s[38] + 1240*s[39] - 1336*s[40] + 
       422*s[41] - 1818*s[42] - (10710*s[43])/11 + (17576*s[44])/11 + 
       (19376*s[45])/11 - (23572*s[46])/11 - (9016*s[47])/33 - 
       (75742*s[48])/33 + (52150*s[49])/33 + (86468*s[50])/11 - 
       (5920*s[51])/11 - (41948*s[52])/33 - (183286*s[53])/33 - 
       (50360*s[54])/11 - (1283504*s[55])/33 + (38850*s[56])/11 - 
       (662580*s[57])/11 + (1449410*s[58])/99 - (809036*s[59])/99 + 
       (5090350*s[60])/99 - (392552*s[61])/891 + 192*s[63] - 96*s[69] + 
       180*s[82]) + HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - w]*
      (-240*s[3] + 1220*s[4] + (8390*s[5])/11 - (769*s[6])/11 + 
       (1729846*s[7])/99 - (363691*s[8])/297 - (386816*s[9])/27 - 
       (183091*s[10])/27 - (3439681*s[11])/198 - (1567228*s[12])/99 - 
       (2052101*s[13])/198 + (189179*s[14])/198 - (279350*s[15])/9 - 
       (6225977*s[16])/198 - (2047169*s[17])/66 + (119411*s[18])/81 - 
       (772040*s[19])/81 - (28036736*s[20])/891 - (14605507*s[21])/1782 + 
       (15997433*s[22])/1782 + (299911*s[23])/198 + (47530619*s[24])/1782 - 
       (198530621*s[25])/8019 + (82560617*s[26])/8019 - 48*s[30] + 96*s[35] - 
       (880*s[36])/3 - (112*s[37])/3 + 430*s[38] - 848*s[39] + 
       (2560*s[40])/3 - 1009*s[41] + (3029*s[42])/3 + (66683*s[43])/33 - 
       (24371*s[44])/33 + (146249*s[45])/33 - (664474*s[46])/33 - 
       (35276*s[47])/99 - (75305*s[48])/99 - (872611*s[49])/99 + 
       (636308*s[50])/33 + (75728*s[51])/99 + (26429*s[52])/99 - 
       (1539209*s[53])/99 - (151168*s[54])/33 - (3342088*s[55])/33 - 
       (404509*s[56])/33 - (4930804*s[57])/99 - (1126757*s[58])/99 + 
       (225020*s[59])/11 + (57853601*s[60])/297 - (20158013*s[61])/2673 + 
       48*s[62] + 144*s[76] - 192*s[79] + (496*s[80])/3 + 180*s[82]) + 
     HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - v]*(-216*s[2] - 211*s[4] + 
       (30104*s[5])/11 - (461*s[6])/11 + (693197*s[7])/33 - 
       (60839*s[8])/297 - (542560*s[9])/27 - (248216*s[10])/27 - 
       (3744953*s[11])/198 - (1470263*s[12])/99 - (958217*s[13])/198 - 
       (2226839*s[14])/198 - (357116*s[15])/9 - (7740215*s[16])/198 - 
       (8534843*s[17])/198 - (387761*s[18])/81 - (371548*s[19])/81 - 
       (49111042*s[20])/891 - (40295369*s[21])/1782 + (19563853*s[22])/1782 + 
       (527149*s[23])/198 + (44804665*s[24])/1782 - (152665747*s[25])/8019 + 
       (124997209*s[26])/8019 - 24*s[27] - 144*s[31] - 180*s[33] + 96*s[34] + 
       96*s[35] - (880*s[36])/3 - (112*s[37])/3 + 430*s[38] - 848*s[39] + 
       (2560*s[40])/3 - 1009*s[41] + (3029*s[42])/3 + (66683*s[43])/33 - 
       (24371*s[44])/33 + (146249*s[45])/33 - (664474*s[46])/33 - 
       (35276*s[47])/99 - (75305*s[48])/99 - (872611*s[49])/99 + 
       (636308*s[50])/33 + (75728*s[51])/99 + (26429*s[52])/99 - 
       (1539209*s[53])/99 - (151168*s[54])/33 - (3342088*s[55])/33 - 
       (404509*s[56])/33 - (4930804*s[57])/99 - (1126757*s[58])/99 + 
       (225020*s[59])/11 + (57853601*s[60])/297 - (20158013*s[61])/2673 + 
       48*s[62] + 144*s[76] - 192*s[79] + (496*s[80])/3 + 180*s[82]) + 
     HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - u]*((19840*s[5])/11 + (12600*s[6])/11 + 
       (538885*s[7])/33 - (7390*s[8])/11 - 14440*s[9] - 6540*s[10] - 
       (157915*s[11])/11 - (117445*s[12])/11 - (151760*s[13])/33 - 
       (85870*s[14])/11 - (99755*s[15])/3 - (1028765*s[16])/33 - 
       (1194085*s[17])/33 - (17750*s[18])/9 - (41110*s[19])/9 - 
       (3909670*s[20])/99 - (1556000*s[21])/99 + (264490*s[22])/33 + 
       (156490*s[23])/33 + (692870*s[24])/33 - (14231765*s[25])/891 + 
       (10624745*s[26])/891 - 320*s[37] + (14540*s[43])/11 + 
       (3840*s[44])/11 + (39680*s[45])/11 - (183860*s[46])/11 - 
       (25390*s[47])/33 - (25390*s[48])/33 - (150650*s[49])/33 + 
       (158660*s[50])/11 - (34570*s[51])/33 + (5860*s[52])/33 - 
       (476650*s[53])/33 + (6260*s[54])/11 - (3141830*s[55])/33 - 
       (165890*s[56])/11 - (1751840*s[57])/33 - (208990*s[58])/33 + 
       (188890*s[59])/11 + (15213775*s[60])/99 - (7029910*s[61])/891 + 
       240*s[82]) + HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - v]*
      (580*s[3] + 2450*s[4] + (11090*s[5])/11 + (6845*s[6])/11 + 
       (2795245*s[7])/99 - (809605*s[8])/297 - (624245*s[9])/27 - 
       (248710*s[10])/27 - (5831395*s[11])/198 - (5778395*s[12])/198 - 
       (1973515*s[13])/99 + (368815*s[14])/99 - (396725*s[15])/9 - 
       (4742995*s[16])/99 - (947015*s[17])/22 - (68365*s[18])/81 - 
       (984755*s[19])/81 - (42214310*s[20])/891 - (11557805*s[21])/891 + 
       (12297490*s[22])/891 + (3750955*s[23])/198 + (64072295*s[24])/1782 - 
       (672722035*s[25])/16038 + (288852595*s[26])/16038 - 80*s[30] + 
       (440*s[36])/3 + (140*s[37])/3 + 310*s[38] - 2690*s[39] + 
       (8974*s[40])/3 - 2020*s[41] + (11630*s[42])/3 + (64100*s[43])/33 - 
       (62300*s[44])/33 + (230990*s[45])/33 - (1090960*s[46])/33 + 
       (175090*s[47])/99 - (400430*s[48])/99 - (1139290*s[49])/99 + 
       (986420*s[50])/33 + (267950*s[51])/99 + (182390*s[52])/99 - 
       (2240450*s[53])/99 - (176260*s[54])/33 - (1608620*s[55])/11 - 
       (733520*s[56])/33 - (760000*s[57])/33 - (11144090*s[58])/297 + 
       (13251650*s[59])/297 + (82672775*s[60])/297 - (41824045*s[61])/2673 + 
       240*s[76] - (920*s[80])/3 + 240*s[82]) + 
     HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - w]*(-360*s[2] - 430*s[4] + 
       (48160*s[5])/11 + (1455*s[6])/11 + (366915*s[7])/11 - 
       (596315*s[8])/297 - (851365*s[9])/27 - (349730*s[10])/27 - 
       (6278105*s[11])/198 - (5647165*s[12])/198 - (947215*s[13])/99 - 
       (1336405*s[14])/99 - (520895*s[15])/9 - (6015805*s[16])/99 - 
       (12102425*s[17])/198 - (869075*s[18])/81 - (302425*s[19])/81 - 
       (76283290*s[20])/891 - (33425035*s[21])/891 + (15574280*s[22])/891 + 
       (5489725*s[23])/198 + (60478045*s[24])/1782 - (517463855*s[25])/
        16038 + (434807855*s[26])/16038 - 40*s[27] - 240*s[31] - 300*s[33] + 
       480*s[34] + (440*s[36])/3 + (140*s[37])/3 + 310*s[38] - 2690*s[39] + 
       (8974*s[40])/3 - 2020*s[41] + (11630*s[42])/3 + (64100*s[43])/33 - 
       (62300*s[44])/33 + (230990*s[45])/33 - (1090960*s[46])/33 + 
       (175090*s[47])/99 - (400430*s[48])/99 - (1139290*s[49])/99 + 
       (986420*s[50])/33 + (267950*s[51])/99 + (182390*s[52])/99 - 
       (2240450*s[53])/99 - (176260*s[54])/33 - (1608620*s[55])/11 - 
       (733520*s[56])/33 - (760000*s[57])/33 - (11144090*s[58])/297 + 
       (13251650*s[59])/297 + (82672775*s[60])/297 - (41824045*s[61])/2673 + 
       240*s[76] - (920*s[80])/3 + 240*s[82]) + HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - v]*((-15*s[3])/2 + (15*s[4])/2 + (4531*s[5])/44 + 
       (1927*s[6])/22 + (274585*s[7])/264 - (20395*s[8])/396 - 
       (33395*s[9])/36 - (3430*s[10])/9 - (72073*s[11])/66 - 
       (284303*s[12])/264 - (45669*s[13])/88 - (115165*s[14])/264 - 
       (42313*s[15])/24 - (22993*s[16])/11 - (63796*s[17])/33 - 
       (3829*s[18])/27 - (6542*s[19])/27 - (3102725*s[20])/1188 - 
       (2503147*s[21])/2376 + (1355711*s[22])/2376 + (43051*s[23])/88 + 
       (3337739*s[24])/2376 - (3242339*s[25])/2673 + (4545223*s[26])/5346 + 
       12*s[35] - 10*s[36] - (89*s[37])/4 + (43*s[38])/2 - (317*s[39])/4 + 
       (297*s[40])/4 - 72*s[41] + (225*s[42])/2 + (481*s[43])/4 - 
       (283*s[44])/4 + (681*s[45])/8 - (6549*s[46])/8 - (109*s[47])/12 + 
       (619*s[48])/6 - (3877*s[49])/6 + (1361*s[50])/2 - (49*s[51])/3 - 
       (62*s[52])/3 - (13391*s[53])/24 - (735*s[54])/4 - (21829*s[55])/6 - 
       (2747*s[56])/4 - (1665*s[57])/2 - (57107*s[58])/72 + 
       (21635*s[59])/18 + (1203799*s[60])/144 - (337097*s[61])/1296 + 
       (3*s[62])/2 + (3*s[71])/2 - 12*s[79] + (5*s[80])/2 + 240*s[82]) + 
     HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((129*s[4])/2 - (603*s[5])/88 + (5151*s[6])/88 + (121129*s[7])/264 - 
       (68539*s[8])/792 - (23087*s[9])/72 - (6685*s[10])/72 - 
       (146153*s[11])/264 - (20921*s[12])/33 - (130249*s[13])/264 + 
       (24283*s[14])/264 - 782*s[15] - (61087*s[16])/66 - (32635*s[17])/44 + 
       (25187*s[18])/216 - (14591*s[19])/54 - (407105*s[20])/594 - 
       (185923*s[21])/1188 + (566011*s[22])/2376 + (80705*s[23])/264 + 
       (2023045*s[24])/2376 - (35960293*s[25])/42768 + 
       (14188177*s[26])/42768 - (9*s[33])/4 + 12*s[35] - 10*s[36] - 
       (89*s[37])/4 + (43*s[38])/2 - (317*s[39])/4 + (297*s[40])/4 - 
       72*s[41] + (225*s[42])/2 + (481*s[43])/4 - (283*s[44])/4 + 
       (681*s[45])/8 - (6549*s[46])/8 - (109*s[47])/12 + (619*s[48])/6 - 
       (3877*s[49])/6 + (1361*s[50])/2 - (49*s[51])/3 - (62*s[52])/3 - 
       (13391*s[53])/24 - (735*s[54])/4 - (21829*s[55])/6 - (2747*s[56])/4 - 
       (1665*s[57])/2 - (57107*s[58])/72 + (21635*s[59])/18 + 
       (1203799*s[60])/144 - (337097*s[61])/1296 + (3*s[62])/2 + 
       (3*s[71])/2 - 12*s[79] + (5*s[80])/2 + 240*s[82]) + 
     HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - u]*(-120*s[2] - 320*s[3] - 288*s[4] + 
       (10344*s[5])/11 - (59064*s[6])/11 + (297148*s[7])/33 + 
       (9256*s[8])/33 - (29440*s[9])/3 - (27008*s[10])/3 - (45772*s[11])/11 + 
       (18016*s[12])/11 + (209092*s[13])/33 - (23228*s[14])/11 - 
       29572*s[15] - (668744*s[16])/33 - (1062268*s[17])/33 + 
       (20492*s[18])/9 - (99752*s[19])/9 - (2616344*s[20])/99 - 
       (65244*s[21])/11 + (474236*s[22])/99 - (850700*s[23])/33 + 
       (1821704*s[24])/99 - (1029872*s[25])/297 + (355304*s[26])/297 - 
       40*s[32] - 400*s[37] - 160*s[38] + 2032*s[39] - 2192*s[40] + 
       576*s[41] - 3024*s[42] - (18192*s[43])/11 + (31272*s[44])/11 + 
       (43568*s[45])/11 - (77984*s[46])/11 - (11416*s[47])/33 - 
       (154504*s[48])/33 + (60472*s[49])/33 + (195056*s[50])/11 - 
       (8152*s[51])/11 - (70760*s[52])/33 - (413536*s[53])/33 - 
       (98352*s[54])/11 - (955640*s[55])/11 + (47288*s[56])/11 - 
       (3818296*s[57])/33 + (2390776*s[58])/99 - (1124776*s[59])/99 + 
       (12271540*s[60])/99 - (677656*s[61])/297 + 320*s[63] - 160*s[69] + 
       384*s[82]) + HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - w]*
      (-400*s[3] + 2620*s[4] + (17824*s[5])/11 + (1700*s[6])/11 + 
       (1231246*s[7])/33 - (788996*s[8])/297 - (825544*s[9])/27 - 
       (380168*s[10])/27 - (3702070*s[11])/99 - (3433184*s[12])/99 - 
       (2237146*s[13])/99 + (180986*s[14])/99 - (584006*s[15])/9 - 
       (6599128*s[16])/99 - (6399970*s[17])/99 + (181144*s[18])/81 - 
       (1550068*s[19])/81 - (59959252*s[20])/891 - (16160002*s[21])/891 + 
       (17071574*s[22])/891 + (763520*s[23])/99 + (49331096*s[24])/891 - 
       (424057432*s[25])/8019 + (180350608*s[26])/8019 - 80*s[30] + 
       160*s[35] - 560*s[36] - (80*s[37])/3 + 960*s[38] - 2124*s[39] + 
       2172*s[40] - 2332*s[41] + 2628*s[42] + (47412*s[43])/11 - 
       (20142*s[44])/11 + (303052*s[45])/33 - (1416232*s[46])/33 - 
       (16454*s[47])/33 - (51698*s[48])/33 - (622342*s[49])/33 + 
       (444448*s[50])/11 + (64006*s[51])/33 + (30770*s[52])/33 - 
       (3196496*s[53])/99 - (293296*s[54])/33 - (6932278*s[55])/33 - 
       (2684878*s[56])/99 - (27745964*s[57])/297 - (25009958*s[58])/891 + 
       (40742534*s[59])/891 + (4493431*s[60])/11 - (131132732*s[61])/8019 + 
       80*s[62] + 240*s[76] - 320*s[79] + (1040*s[80])/3 + 384*s[82]) + 
     HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - v]*(-360*s[2] - 288*s[4] + 
       (60900*s[5])/11 + (2756*s[6])/11 + (1463060*s[7])/33 - 
       (175724*s[8])/297 - (1139368*s[9])/27 - (507524*s[10])/27 - 
       (4006660*s[11])/99 - (3246404*s[12])/99 - (1151512*s[13])/99 - 
       (2248936*s[14])/99 - (737096*s[15])/9 - (8093236*s[16])/99 - 
       (8752144*s[17])/99 - (820868*s[18])/81 - (739936*s[19])/81 - 
       (102202816*s[20])/891 - (41694940*s[21])/891 + (20693720*s[22])/891 + 
       (843908*s[23])/99 + (46674860*s[24])/891 - (332931166*s[25])/8019 + 
       (264375934*s[26])/8019 - 40*s[27] - 240*s[31] - 300*s[33] + 
       160*s[34] + 160*s[35] - 560*s[36] - (80*s[37])/3 + 960*s[38] - 
       2124*s[39] + 2172*s[40] - 2332*s[41] + 2628*s[42] + (47412*s[43])/11 - 
       (20142*s[44])/11 + (303052*s[45])/33 - (1416232*s[46])/33 - 
       (16454*s[47])/33 - (51698*s[48])/33 - (622342*s[49])/33 + 
       (444448*s[50])/11 + (64006*s[51])/33 + (30770*s[52])/33 - 
       (3196496*s[53])/99 - (293296*s[54])/33 - (6932278*s[55])/33 - 
       (2684878*s[56])/99 - (27745964*s[57])/297 - (25009958*s[58])/891 + 
       (40742534*s[59])/891 + (4493431*s[60])/11 - (131132732*s[61])/8019 + 
       80*s[62] + 240*s[76] - 320*s[79] + (1040*s[80])/3 + 384*s[82]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1}, 1 - v]*(66*s[3] - 43*s[4] - 
       (3733*s[5])/11 - (1480*s[6])/11 - (610013*s[7])/198 + 
       (50698*s[8])/297 + (74597*s[9])/27 + (32341*s[10])/27 + 
       (531637*s[11])/198 + (188932*s[12])/99 + (268211*s[13])/198 + 
       (201349*s[14])/198 + (99277*s[15])/18 + (517591*s[16])/99 + 
       (397283*s[17])/66 + (63019*s[18])/81 + (35705*s[19])/81 + 
       (5505677*s[20])/891 + (4872133*s[21])/1782 - (2685227*s[22])/1782 - 
       (247862*s[23])/99 - (2601094*s[24])/891 + (48313411*s[25])/16038 - 
       (35187775*s[26])/16038 + 88*s[30] - (212*s[36])/3 + (13*s[37])/3 + 
       122*s[38] + 113*s[39] - (319*s[40])/3 + 44*s[41] - (1004*s[42])/3 + 
       (559*s[43])/33 - (6851*s[44])/66 - (26845*s[45])/66 + 
       (142361*s[46])/66 - (47513*s[47])/198 + (152137*s[48])/198 - 
       (59509*s[49])/198 - (64376*s[50])/33 - (31465*s[51])/198 - 
       (49363*s[52])/198 + (371815*s[53])/198 - (5741*s[54])/33 + 
       (250535*s[55])/22 + (47319*s[56])/22 + (109283*s[57])/99 + 
       (799939*s[58])/297 - (1750697*s[59])/594 - (3643679*s[60])/297 + 
       (4953029*s[61])/3564 - 6*s[71] + 12*s[76] + (14*s[80])/3 + 
       504*s[82]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 1 - w]*
      (-18*s[2] - s[4] - (2509*s[5])/22 - (1899*s[6])/22 - (40042*s[7])/33 + 
       (155053*s[8])/594 + (54491*s[9])/54 + (15331*s[10])/54 + 
       (140783*s[11])/198 + (89473*s[12])/198 - (37715*s[13])/99 + 
       (31978*s[14])/99 + (43639*s[15])/18 + (193645*s[16])/99 + 
       (215338*s[17])/99 + (141781*s[18])/162 - (50324*s[19])/81 + 
       (2662117*s[20])/891 + (2715353*s[21])/1782 - (453815*s[22])/891 - 
       (319994*s[23])/99 + (118672*s[24])/891 + (18548473*s[25])/32076 - 
       (31653445*s[26])/32076 - 4*s[27] - 12*s[31] - 75*s[33] + 8*s[34] - 
       (212*s[36])/3 + (13*s[37])/3 + 122*s[38] + 113*s[39] - (319*s[40])/3 + 
       44*s[41] - (1004*s[42])/3 + (559*s[43])/33 - (6851*s[44])/66 - 
       (26845*s[45])/66 + (142361*s[46])/66 - (47513*s[47])/198 + 
       (152137*s[48])/198 - (59509*s[49])/198 - (64376*s[50])/33 - 
       (31465*s[51])/198 - (49363*s[52])/198 + (371815*s[53])/198 - 
       (5741*s[54])/33 + (250535*s[55])/22 + (47319*s[56])/22 + 
       (109283*s[57])/99 + (799939*s[58])/297 - (1750697*s[59])/594 - 
       (3643679*s[60])/297 + (4953029*s[61])/3564 - 6*s[71] + 12*s[76] + 
       (14*s[80])/3 + 504*s[82]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u]*((37*s[2])/2 - (151*s[3])/4 + (3023*s[4])/8 + 
       (39653*s[5])/88 + (106745*s[6])/132 + (12419117*s[7])/1584 - 
       (683411*s[8])/1188 - (1462271*s[9])/216 - (445729*s[10])/216 - 
       (13608553*s[11])/1584 - (7391287*s[12])/792 - (8829305*s[13])/1584 - 
       (1941811*s[14])/1584 - (502199*s[15])/48 - (2604007*s[16])/198 - 
       (5388715*s[17])/528 - (1014139*s[18])/648 - (636599*s[19])/648 - 
       (113411105*s[20])/7128 - (86166343*s[21])/14256 + 
       (59581013*s[22])/14256 + (1773119*s[23])/198 + (7505753*s[24])/891 - 
       (1374258373*s[25])/128304 + (786541417*s[26])/128304 - s[30] + 
       8*s[31] - 6*s[32] - 6*s[33] - 15*s[34] - 22*s[35] - (233*s[36])/6 + 
       (127*s[37])/4 + 347*s[38] - (10335*s[39])/8 + (34313*s[40])/24 - 
       (8903*s[41])/8 + (43945*s[42])/24 + (308371*s[43])/264 - 
       (636083*s[44])/528 + (110293*s[45])/88 - (1303763*s[46])/132 + 
       (216995*s[47])/528 + (30583*s[48])/176 - (931467*s[49])/176 + 
       (505949*s[50])/66 + (1887983*s[51])/1584 + (524983*s[52])/528 - 
       (527198*s[53])/99 + (975*s[54])/22 - (17754637*s[55])/528 - 
       (13504669*s[56])/1584 + (4981697*s[57])/594 - (216481853*s[58])/
        14256 + (223328405*s[59])/14256 + (259201469*s[60])/3168 - 
       (33149423*s[61])/8019 - 6*s[66] + 6*s[67] - 6*s[68] + 18*s[69] - 
       6*s[70] - s[71] + 6*s[72] + 2*s[73] - (7*s[74])/2 + (7*s[75])/2 + 
       s[77] + 14*s[78] + 90*s[79] - (21*s[80])/2 - 59*s[82] - 6*s[83]) + 
     6*D35[u, v, w]*s[83] + HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - w]*
      (2*s[2] + 126*s[3] - 7410*s[4] - (52957*s[5])/11 - (157255*s[6])/11 - 
       (3817870*s[7])/33 + (2562749*s[8])/297 + (2673526*s[9])/27 + 
       (760415*s[10])/27 + (25396775*s[11])/198 + (13989731*s[12])/99 + 
       (17531507*s[13])/198 + (2625503*s[14])/198 + (1358030*s[15])/9 + 
       (37723379*s[16])/198 + (28310141*s[17])/198 + (1657157*s[18])/81 + 
       (1287397*s[19])/81 + (200517898*s[20])/891 + (147334601*s[21])/1782 - 
       (109011253*s[22])/1782 - (27626251*s[23])/198 - 
       (224616421*s[24])/1782 + (1318995466*s[25])/8019 - 
       (728201401*s[26])/8019 - 12*s[28] - 192*s[29] - 8*s[30] - 160*s[31] - 
       2*s[32] + 473*s[33] - 88*s[34] + 396*s[35] + 2*s[36] - 
       (1129*s[37])/3 - 4452*s[38] + (29825*s[39])/2 - (34413*s[40])/2 + 
       (26925*s[41])/2 - (42941*s[42])/2 - (290751*s[43])/22 + 
       (576047*s[44])/44 - (873509*s[45])/66 + (3510451*s[46])/33 - 
       (686057*s[47])/132 - (259895*s[48])/132 + (6837011*s[49])/132 - 
       (840916*s[50])/11 - (2114071*s[51])/132 - (1874881*s[52])/132 + 
       (5104202*s[53])/99 - (478256*s[54])/33 + (44468203*s[55])/132 + 
       (41010367*s[56])/396 - (42292273*s[57])/297 + (648572963*s[58])/3564 - 
       (633225299*s[59])/3564 - (672400519*s[60])/792 + 
       (372746612*s[61])/8019 - 4*s[64] - 48*s[65] - 64*s[66] + 96*s[67] - 
       24*s[68] + 184*s[69] - 368*s[70] + 132*s[71] - 8*s[72] - 4*s[74] - 
       28*s[75] + 36*s[76] + 420*s[77] + 152*s[78] - 2776*s[79] + 
       (1726*s[80])/3 + 2*s[81] + 4128*s[82] + 102*s[83] - 804*s[84]) + 
     HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - v]*(-34*s[2] - 667*s[3] - 
       (11513*s[4])/2 - (52713*s[5])/22 - (122142*s[6])/11 - 
       (3313463*s[7])/44 + (2110046*s[8])/297 + (3442829*s[9])/54 + 
       (738445*s[10])/54 + (33485671*s[11])/396 + (19404373*s[12])/198 + 
       (23955607*s[13])/396 + (3755569*s[14])/396 + (3173579*s[15])/36 + 
       (11689987*s[16])/99 + (30886699*s[17])/396 + (2938513*s[18])/162 + 
       (304793*s[19])/162 + (260648501*s[20])/1782 + (191171437*s[21])/3564 - 
       (141523763*s[22])/3564 - (11434262*s[23])/99 - (62658812*s[24])/891 + 
       (3484090201*s[25])/32076 - (1948808245*s[26])/32076 - 588*s[30] - 
       16*s[31] - 50*s[32] - 49*s[33] + 44*s[34] + 396*s[35] + 2*s[36] - 
       (1129*s[37])/3 - 4452*s[38] + (29825*s[39])/2 - (34413*s[40])/2 + 
       (26925*s[41])/2 - (42941*s[42])/2 - (290751*s[43])/22 + 
       (576047*s[44])/44 - (873509*s[45])/66 + (3510451*s[46])/33 - 
       (686057*s[47])/132 - (259895*s[48])/132 + (6837011*s[49])/132 - 
       (840916*s[50])/11 - (2114071*s[51])/132 - (1874881*s[52])/132 + 
       (5104202*s[53])/99 - (478256*s[54])/33 + (44468203*s[55])/132 + 
       (41010367*s[56])/396 - (42292273*s[57])/297 + (648572963*s[58])/3564 - 
       (633225299*s[59])/3564 - (672400519*s[60])/792 + 
       (372746612*s[61])/8019 - 4*s[64] - 48*s[65] - 64*s[66] + 96*s[67] - 
       24*s[68] + 184*s[69] - 368*s[70] + 132*s[71] - 8*s[72] - 4*s[74] - 
       28*s[75] + 36*s[76] + 420*s[77] + 152*s[78] - 2776*s[79] + 
       (1726*s[80])/3 + 2*s[81] + 4128*s[82] + 102*s[83] - 804*s[84]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 1}, 1 - v]*(-24*s[2] - 183*s[3] - 
       3996*s[4] - (28274*s[5])/11 - (71495*s[6])/11 - (2590393*s[7])/44 + 
       (1054199*s[8])/198 + (445046*s[9])/9 + (125473*s[10])/9 + 
       (8611835*s[11])/132 + (4798421*s[12])/66 + (5790923*s[13])/132 + 
       (630725*s[14])/132 + (305567*s[15])/4 + (6454501*s[16])/66 + 
       (9544505*s[17])/132 + (611639*s[18])/54 + (206558*s[19])/27 + 
       (33892610*s[20])/297 + (48915905*s[21])/1188 - (36687259*s[22])/1188 - 
       (2589847*s[23])/33 - (18409450*s[24])/297 + (450255235*s[25])/5346 - 
       (243289525*s[26])/5346 - 24*s[30] - 24*s[31] + 9*s[32] - 12*s[33] + 
       42*s[34] + 48*s[35] + 111*s[36] - 292*s[37] - 2421*s[38] + 
       (38299*s[39])/4 - (42151*s[40])/4 + (32017*s[41])/4 - 
       (55533*s[42])/4 - (335661*s[43])/44 + (724995*s[44])/88 - 
       (176751*s[45])/22 + (2923581*s[46])/44 - (1069753*s[47])/264 + 
       (175205*s[48])/264 + (9091531*s[49])/264 - (549745*s[50])/11 - 
       (842021*s[51])/88 - (2099657*s[52])/264 + (1527037*s[53])/44 - 
       (75835*s[54])/22 + (57371783*s[55])/264 + (15606161*s[56])/264 - 
       (8101849*s[57])/99 + (260609803*s[58])/2376 - (262274929*s[59])/2376 - 
       (839828953*s[60])/1584 + (603091387*s[61])/21384 + 3*s[62] + 
       18*s[70] + 3*s[71] - 48*s[72] + 39*s[74] - 39*s[75] + 48*s[76] + 
       6*s[77] - 48*s[78] - 792*s[79] + 208*s[80] + 312*s[82] + 36*s[83] - 
       216*s[84]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 1}, 1 - w]*
      (-24*s[2] - (375*s[3])/2 - (15841*s[4])/4 - (60693*s[5])/22 - 
       (289505*s[6])/44 - (15811903*s[7])/264 + (232095*s[8])/44 + 
       50467*s[9] + 14361*s[10] + (5831469*s[11])/88 + (1617025*s[12])/22 + 
       (11689049*s[13])/264 + (478729*s[14])/88 + (1881305*s[15])/24 + 
       (13172035*s[16])/132 + (19691473*s[17])/264 + (102466*s[18])/9 + 
       (289283*s[19])/36 + (46215239*s[20])/396 + (33487847*s[21])/792 - 
       (2768919*s[22])/88 - (10283063*s[23])/132 - (8384227*s[24])/132 + 
       (303852247*s[25])/3564 - (164947489*s[26])/3564 - 12*s[30] - 
       24*s[31] - 6*s[33] + 54*s[34] + 48*s[35] + 111*s[36] - 292*s[37] - 
       2421*s[38] + (38299*s[39])/4 - (42151*s[40])/4 + (32017*s[41])/4 - 
       (55533*s[42])/4 - (335661*s[43])/44 + (724995*s[44])/88 - 
       (176751*s[45])/22 + (2923581*s[46])/44 - (1069753*s[47])/264 + 
       (175205*s[48])/264 + (9091531*s[49])/264 - (549745*s[50])/11 - 
       (842021*s[51])/88 - (2099657*s[52])/264 + (1527037*s[53])/44 - 
       (75835*s[54])/22 + (57371783*s[55])/264 + (15606161*s[56])/264 - 
       (8101849*s[57])/99 + (260609803*s[58])/2376 - (262274929*s[59])/2376 - 
       (839828953*s[60])/1584 + (603091387*s[61])/21384 + 3*s[62] + 
       18*s[70] + 3*s[71] - 48*s[72] + 39*s[74] - 39*s[75] + 48*s[76] + 
       6*s[77] - 48*s[78] - 792*s[79] + 208*s[80] + 312*s[82] + 36*s[83] - 
       216*s[84]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 1 - u]*
      (-24*s[2] - (177*s[3])/2 - (17881*s[4])/4 - (126219*s[5])/44 - 
       (158555*s[6])/22 - (5854877*s[7])/88 + (3516929*s[8])/594 + 
       (6066683*s[9])/108 + (1726867*s[10])/108 + (58207507*s[11])/792 + 
       (32323825*s[12])/396 + (39007411*s[13])/792 + (4488229*s[14])/792 + 
       (6258617*s[15])/72 + (43758263*s[16])/396 + (65129203*s[17])/792 + 
       (4000861*s[18])/324 + (2932013*s[19])/324 + (460867103*s[20])/3564 + 
       (331667905*s[21])/7128 - (249332327*s[22])/7128 - 
       (33599617*s[23])/396 - (251016913*s[24])/3564 + 
       (6079335175*s[25])/64152 - (3286237807*s[26])/64152 - 12*s[30] - 
       24*s[31] - (21*s[33])/2 + 60*s[34] + 102*s[35] + (337*s[36])/3 - 
       291*s[37] - 2737*s[38] + (43177*s[39])/4 - (142663*s[40])/12 + 
       (36467*s[41])/4 - (187709*s[42])/12 - (1164701*s[43])/132 + 
       (2460391*s[44])/264 - (98886*s[45])/11 + (9886979*s[46])/132 - 
       (3543197*s[47])/792 + (556657*s[48])/792 + (31414223*s[49])/792 - 
       (1876880*s[50])/33 - (8486107*s[51])/792 - (7133629*s[52])/792 + 
       (15518293*s[53])/396 - (177191*s[54])/66 + (21650591*s[55])/88 + 
       (51293525*s[56])/792 - (51680963*s[57])/594 + (868715263*s[58])/7128 - 
       (876801025*s[59])/7128 - (2863662449*s[60])/4752 + 
       (1976693545*s[61])/64152 - 3*s[71] - 48*s[72] + 48*s[74] - 48*s[75] + 
       48*s[76] + 24*s[77] - 48*s[78] - 952*s[79] + 244*s[80] + 816*s[82] + 
       36*s[83] - 216*s[84]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1}, 1 - u]*
      (-24*s[2] - 168*s[3] - (9197*s[4])/2 - (122761*s[5])/44 - 
       (310383*s[6])/44 - (13326011*s[7])/198 + (780985*s[8])/132 + 
       (680587*s[9])/12 + (196231*s[10])/12 + (9832051*s[11])/132 + 
       (3639037*s[12])/44 + (4982573*s[13])/99 + (165211*s[14])/33 + 
       (3157681*s[15])/36 + (22085647*s[16])/198 + (16420373*s[17])/198 + 
       (1299707*s[18])/108 + (267091*s[19])/27 + (38573593*s[20])/297 + 
       (55044089*s[21])/1188 - (3503338*s[22])/99 - (8444812*s[23])/99 - 
       (7123469*s[24])/99 + (2060558107*s[25])/21384 - 
       (1101252247*s[26])/21384 - 18*s[30] - 24*s[31] - (33*s[33])/2 + 
       78*s[34] + 102*s[35] + (337*s[36])/3 - 291*s[37] - 2737*s[38] + 
       (43177*s[39])/4 - (142663*s[40])/12 + (36467*s[41])/4 - 
       (187709*s[42])/12 - (1164701*s[43])/132 + (2460391*s[44])/264 - 
       (98886*s[45])/11 + (9886979*s[46])/132 - (3543197*s[47])/792 + 
       (556657*s[48])/792 + (31414223*s[49])/792 - (1876880*s[50])/33 - 
       (8486107*s[51])/792 - (7133629*s[52])/792 + (15518293*s[53])/396 - 
       (177191*s[54])/66 + (21650591*s[55])/88 + (51293525*s[56])/792 - 
       (51680963*s[57])/594 + (868715263*s[58])/7128 - 
       (876801025*s[59])/7128 - (2863662449*s[60])/4752 + 
       (1976693545*s[61])/64152 - 3*s[71] - 48*s[72] + 48*s[74] - 48*s[75] + 
       48*s[76] + 24*s[77] - 48*s[78] - 952*s[79] + 244*s[80] + 816*s[82] + 
       36*s[83] - 216*s[84]) + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1}, 1 - w]*
      ((57*s[2])/2 - (939*s[3])/4 - (13827*s[4])/8 - (37263*s[5])/44 - 
       (221283*s[6])/88 - (11600971*s[7])/528 + (1733071*s[8])/792 + 
       (649243*s[9])/36 + (87151*s[10])/18 + (12979105*s[11])/528 + 
       (1842763*s[12])/66 + (2957617*s[13])/176 + (482905*s[14])/528 + 
       (440843*s[15])/16 + (396950*s[16])/11 + (13552835*s[17])/528 + 
       (475727*s[18])/108 + (603929*s[19])/216 + (98760113*s[20])/2376 + 
       (69058915*s[21])/4752 - (53983595*s[22])/4752 - (712051*s[23])/22 - 
       (26937719*s[24])/1188 + (345037141*s[25])/10692 - 
       (180575911*s[26])/10692 - 12*s[30] + 6*s[31] - 9*s[32] + 
       (57*s[33])/4 - 18*s[34] - 3*s[35] + 40*s[36] - 106*s[37] - 873*s[38] + 
       (14973*s[39])/4 - (16525*s[40])/4 + (12279*s[41])/4 - 
       (21965*s[42])/4 - (129275*s[43])/44 + (70849*s[44])/22 - 
       (32332*s[45])/11 + (1109649*s[46])/44 - (53326*s[47])/33 + 
       (59969*s[48])/132 + (428125*s[49])/33 - (204035*s[50])/11 - 
       (491855*s[51])/132 - (427415*s[52])/132 + (141298*s[53])/11 - 
       (23013*s[54])/11 + (3516629*s[55])/44 + (749702*s[56])/33 - 
       (13944401*s[57])/396 + (12717505*s[58])/297 - (50379223*s[59])/1188 - 
       (39052771*s[60])/198 + (232229849*s[61])/21384 + 12*s[70] - 12*s[71] - 
       18*s[72] - 6*s[73] + (27*s[74])/2 - (33*s[75])/2 + 12*s[76] - 
       3*s[77] - 18*s[78] - 288*s[79] + 160*s[80] + 36*s[82] + 18*s[83] - 
       144*s[84]) + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1}, 1 - v]*
      ((-93*s[2])/2 + (51*s[3])/4 - (10587*s[4])/8 - (52509*s[5])/44 - 
       (246891*s[6])/88 - (4030223*s[7])/176 + (174411*s[8])/88 + 
       19404*s[9] + 5430*s[10] + (4463553*s[11])/176 + (617745*s[12])/22 + 
       (2997019*s[13])/176 + (485373*s[14])/176 + (470945*s[15])/16 + 
       (832367*s[16])/22 + (4980191*s[17])/176 + (14233*s[18])/3 + 
       (59215*s[19])/24 + (11838271*s[20])/264 + (8918293*s[21])/528 - 
       (2119303*s[22])/176 - (326375*s[23])/11 - (1054305*s[24])/44 + 
       (76571189*s[25])/2376 - (42919757*s[26])/2376 - 3*s[30] - 24*s[31] + 
       12*s[32] + 15*s[33] + 9*s[34] - 3*s[35] + 40*s[36] - 106*s[37] - 
       873*s[38] + (14973*s[39])/4 - (16525*s[40])/4 + (12279*s[41])/4 - 
       (21965*s[42])/4 - (129275*s[43])/44 + (70849*s[44])/22 - 
       (32332*s[45])/11 + (1109649*s[46])/44 - (53326*s[47])/33 + 
       (59969*s[48])/132 + (428125*s[49])/33 - (204035*s[50])/11 - 
       (491855*s[51])/132 - (427415*s[52])/132 + (141298*s[53])/11 - 
       (23013*s[54])/11 + (3516629*s[55])/44 + (749702*s[56])/33 - 
       (13944401*s[57])/396 + (12717505*s[58])/297 - (50379223*s[59])/1188 - 
       (39052771*s[60])/198 + (232229849*s[61])/21384 + 12*s[70] - 12*s[71] - 
       18*s[72] - 6*s[73] + (27*s[74])/2 - (33*s[75])/2 + 12*s[76] - 
       3*s[77] - 18*s[78] - 288*s[79] + 160*s[80] + 36*s[82] + 18*s[83] - 
       144*s[84]) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      (18*s[2] - 9*s[3] - (1451*s[4])/2 - (2242*s[5])/11 - (84687*s[6])/88 - 
       (2123849*s[7])/264 + (647531*s[8])/792 + (477337*s[9])/72 + 
       (59623*s[10])/36 + (4921739*s[11])/528 + (5724275*s[12])/528 + 
       (916957*s[13])/132 - (25703*s[14])/264 + (681167*s[15])/72 + 
       (143376*s[16])/11 + (4556249*s[17])/528 + (256517*s[18])/216 + 
       (294541*s[19])/216 + (34548949*s[20])/2376 + (1416710*s[21])/297 - 
       (1261771*s[22])/297 - (5826941*s[23])/528 - (41543701*s[24])/4752 + 
       (535814957*s[25])/42768 - (262960751*s[26])/42768 + 12*s[29] - 
       6*s[30] + 12*s[31] + 3*s[32] + 6*s[33] - 6*s[34] + 6*s[35] + 
       53*s[36] - (461*s[37])/6 - (1367*s[38])/3 + (21817*s[39])/12 - 
       (24661*s[40])/12 + (6223*s[41])/4 - (31541*s[42])/12 - 
       (196783*s[43])/132 + (152223*s[44])/88 - (142697*s[45])/132 + 
       (119657*s[46])/11 - (30435*s[47])/44 - (1270*s[48])/11 + 
       (76597*s[49])/11 - (1089547*s[50])/132 - (692257*s[51])/396 - 
       (127627*s[52])/88 + (354571*s[53])/66 + (266*s[54])/11 + 
       (2170667*s[55])/66 + (180459*s[56])/22 - (1043765*s[57])/66 + 
       (7162241*s[58])/396 - (1804454*s[59])/99 - (7852731*s[60])/88 + 
       (4539323*s[61])/1188 + 3*s[64] + 6*s[65] + 12*s[66] - 12*s[67] - 
       18*s[68] - 18*s[69] - 6*s[71] - 12*s[72] + 24*s[73] + 12*s[74] - 
       9*s[75] - 6*s[76] + 6*s[77] - 36*s[78] - 252*s[79] + 109*s[80] - 
       84*s[82] + 27*s[83] - 90*s[84]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 1, 1}, 1 - v]*(-21*s[2] + (135*s[3])/2 - (3273*s[4])/4 - 
       (14691*s[5])/44 - (282853*s[6])/264 - (2893301*s[7])/264 + 
       (816661*s[8])/792 + (666653*s[9])/72 + (94391*s[10])/36 + 
       (6532775*s[11])/528 + (7431515*s[12])/528 + (1144313*s[13])/132 + 
       (53633*s[14])/264 + (985817*s[15])/72 + (795129*s[16])/44 + 
       (2228739*s[17])/176 + (359935*s[18])/216 + (410585*s[19])/216 + 
       (49155437*s[20])/2376 + (2041387*s[21])/297 - (6985337*s[22])/1188 - 
       (7231453*s[23])/528 - (57585497*s[24])/4752 + (699834787*s[25])/
        42768 - (350129149*s[26])/42768 - 12*s[31] + 9*s[32] - 12*s[33] + 
       24*s[34] + 6*s[35] + 53*s[36] - (461*s[37])/6 - (1367*s[38])/3 + 
       (21817*s[39])/12 - (24661*s[40])/12 + (6223*s[41])/4 - 
       (31541*s[42])/12 - (196783*s[43])/132 + (152223*s[44])/88 - 
       (142697*s[45])/132 + (119657*s[46])/11 - (30435*s[47])/44 - 
       (1270*s[48])/11 + (76597*s[49])/11 - (1089547*s[50])/132 - 
       (692257*s[51])/396 - (127627*s[52])/88 + (354571*s[53])/66 + 
       (266*s[54])/11 + (2170667*s[55])/66 + (180459*s[56])/22 - 
       (1043765*s[57])/66 + (7162241*s[58])/396 - (1804454*s[59])/99 - 
       (7852731*s[60])/88 + (4539323*s[61])/1188 + 3*s[64] + 6*s[65] + 
       12*s[66] - 12*s[67] - 18*s[68] - 18*s[69] - 6*s[71] - 12*s[72] + 
       24*s[73] + 12*s[74] - 9*s[75] - 6*s[76] + 6*s[77] - 36*s[78] - 
       252*s[79] + 109*s[80] - 84*s[82] + 27*s[83] - 90*s[84]) + 
     HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((-5*s[3])/2 - (6153*s[4])/4 - (17741*s[5])/22 - (101733*s[6])/44 - 
       (5681281*s[7])/264 + (2116555*s[8])/1188 + (493130*s[9])/27 + 
       (135673*s[10])/27 + (19038859*s[11])/792 + (5349335*s[12])/198 + 
       (13306405*s[13])/792 + (1179811*s[14])/792 + (1976573*s[15])/72 + 
       (13955945*s[16])/396 + (20078653*s[17])/792 + (623039*s[18])/162 + 
       (975647*s[19])/324 + (147405257*s[20])/3564 + (106289005*s[21])/7128 - 
       (81297485*s[22])/7128 - (10802947*s[23])/396 - (81773911*s[24])/3564 + 
       (999038561*s[25])/32076 - (539024675*s[26])/32076 + s[32] - 6*s[33] + 
       16*s[34] + 50*s[36] - (152*s[37])/3 - 1058*s[38] + (7107*s[39])/2 - 
       (7967*s[40])/2 + (6153*s[41])/2 - (10013*s[42])/2 - (69805*s[43])/22 + 
       (135299*s[44])/44 - (97421*s[45])/33 + (1594327*s[46])/66 - 
       (60327*s[47])/44 - (7989*s[48])/44 + (588949*s[49])/44 - 
       (199616*s[50])/11 - (151977*s[51])/44 - (138379*s[52])/44 + 
       (2394323*s[53])/198 - (22933*s[54])/33 + (3419093*s[55])/44 + 
       (8101799*s[56])/396 - (9085022*s[57])/297 + (143827777*s[58])/3564 - 
       (144589987*s[59])/3564 - (156104101*s[60])/792 + 
       (307380013*s[61])/32076 + 16*s[71] + 4*s[73] + 2*s[74] - 10*s[75] - 
       436*s[79] + (164*s[80])/3 + 720*s[82] + 39*s[83] - 90*s[84]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 1}, 1 - w]*
      ((57*s[2])/4 - (939*s[3])/8 - (14179*s[4])/16 - (18987*s[5])/44 - 
       (223537*s[6])/176 - (3975253*s[7])/352 + (1763285*s[8])/1584 + 
       (83638*s[9])/9 + (181009*s[10])/72 + (13334393*s[11])/1056 + 
       (3781891*s[12])/264 + (9114383*s[13])/1056 + (486341*s[14])/1056 + 
       (1363481*s[15])/96 + (2447629*s[16])/132 + (13943783*s[17])/1056 + 
       (120679*s[18])/54 + (637213*s[19])/432 + (101624065*s[20])/4752 + 
       (70804907*s[21])/9504 - (55586599*s[22])/9504 - (542528*s[23])/33 - 
       (27831223*s[24])/2376 + (709309387*s[25])/42768 - 
       (370408987*s[26])/42768 - 6*s[30] + 3*s[31] - (9*s[32])/2 + 
       (45*s[33])/8 - 7*s[34] - (3*s[35])/2 + (41*s[36])/2 - (611*s[37])/12 - 
       (905*s[38])/2 + (3781*s[39])/2 - 2087*s[40] + (6203*s[41])/4 - 
       2762*s[42] - (32807*s[43])/22 + (285943*s[44])/176 - 
       (397285*s[45])/264 + (3375115*s[46])/264 - (141895*s[47])/176 + 
       (36921*s[48])/176 + (1154061*s[49])/176 - (206931*s[50])/22 - 
       (999037*s[51])/528 - (289485*s[52])/176 + (1288577*s[53])/198 - 
       (70541*s[54])/66 + (21413269*s[55])/528 + (18225035*s[56])/1584 - 
       (41906869*s[57])/2376 + (308780515*s[58])/14256 - 
       (305719849*s[59])/14256 - (317327899*s[60])/3168 + 
       (705445621*s[61])/128304 + 6*s[70] - 5*s[71] - 9*s[72] - 3*s[73] + 
       (27*s[74])/4 - (31*s[75])/4 + 6*s[76] - (3*s[77])/2 - 9*s[78] - 
       148*s[79] + (451*s[80])/6 + 54*s[82] + 9*s[83] - 72*s[84]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 1}, 1 - v]*
      ((-93*s[2])/4 + (57*s[3])/8 - (10489*s[4])/16 - (53065*s[5])/88 - 
       (249813*s[6])/176 - (12103547*s[7])/1056 + (4666535*s[8])/4752 + 
       (1050121*s[9])/108 + (292643*s[10])/108 + (40208507*s[11])/3168 + 
       (5561495*s[12])/396 + (27003305*s[13])/3168 + (4532063*s[14])/3168 + 
       (4235383*s[15])/288 + (14969825*s[16])/792 + (44803181*s[17])/3168 + 
       (775097*s[18])/324 + (1559503*s[19])/1296 + (320268163*s[20])/14256 + 
       (241764293*s[21])/28512 - (171846733*s[22])/28512 - 
       (11727559*s[23])/792 - (42616691*s[24])/3564 + 
       (2066728255*s[25])/128304 - (1161392803*s[26])/128304 - (3*s[30])/2 - 
       12*s[31] + 6*s[32] + (15*s[33])/2 + (9*s[34])/2 - (3*s[35])/2 + 
       (41*s[36])/2 - (611*s[37])/12 - (905*s[38])/2 + (3781*s[39])/2 - 
       2087*s[40] + (6203*s[41])/4 - 2762*s[42] - (32807*s[43])/22 + 
       (285943*s[44])/176 - (397285*s[45])/264 + (3375115*s[46])/264 - 
       (141895*s[47])/176 + (36921*s[48])/176 + (1154061*s[49])/176 - 
       (206931*s[50])/22 - (999037*s[51])/528 - (289485*s[52])/176 + 
       (1288577*s[53])/198 - (70541*s[54])/66 + (21413269*s[55])/528 + 
       (18225035*s[56])/1584 - (41906869*s[57])/2376 + 
       (308780515*s[58])/14256 - (305719849*s[59])/14256 - 
       (317327899*s[60])/3168 + (705445621*s[61])/128304 + 6*s[70] - 
       5*s[71] - 9*s[72] - 3*s[73] + (27*s[74])/4 - (31*s[75])/4 + 6*s[76] - 
       (3*s[77])/2 - 9*s[78] - 148*s[79] + (451*s[80])/6 + 54*s[82] + 
       9*s[83] - 72*s[84]) + HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1}, 1 - v]*
      (-6*s[2] - (183*s[3])/4 - 999*s[4] - (14137*s[5])/22 - 
       (71495*s[6])/44 - (2590393*s[7])/176 + (1054199*s[8])/792 + 
       (222523*s[9])/18 + (125473*s[10])/36 + (8611307*s[11])/528 + 
       (4798421*s[12])/264 + (5790923*s[13])/528 + (630725*s[14])/528 + 
       (305567*s[15])/16 + (6454501*s[16])/264 + (9544505*s[17])/528 + 
       (611639*s[18])/216 + (103279*s[19])/54 + (16946305*s[20])/594 + 
       (48915905*s[21])/4752 - (36690427*s[22])/4752 - (2589847*s[23])/132 - 
       (9204725*s[24])/594 + (450242563*s[25])/21384 - 
       (243276853*s[26])/21384 - 6*s[30] - 6*s[31] + (9*s[32])/4 - 3*s[33] + 
       (21*s[34])/2 + 12*s[35] + (111*s[36])/4 - 74*s[37] - (2421*s[38])/4 + 
       (38299*s[39])/16 - (42151*s[40])/16 + (32017*s[41])/16 - 
       (55533*s[42])/16 - (335661*s[43])/176 + (724995*s[44])/352 - 
       (176751*s[45])/88 + (2923581*s[46])/176 - (1069753*s[47])/1056 + 
       (175205*s[48])/1056 + (9091531*s[49])/1056 - (549745*s[50])/44 - 
       (842021*s[51])/352 - (2099657*s[52])/1056 + (1527037*s[53])/176 - 
       (75835*s[54])/88 + (57371783*s[55])/1056 + (15606161*s[56])/1056 - 
       (8101849*s[57])/396 + (260609803*s[58])/9504 - 
       (262274929*s[59])/9504 - (839828953*s[60])/6336 + 
       (603040699*s[61])/85536 + (3*s[62])/4 + (9*s[70])/2 + (3*s[71])/4 - 
       12*s[72] + (39*s[74])/4 - (39*s[75])/4 + 12*s[76] + (3*s[77])/2 - 
       12*s[78] - 198*s[79] + 52*s[80] + 78*s[82] + 9*s[83] - 54*s[84]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1}, 1 - w]*(-6*s[2] - (375*s[3])/8 - 
       (15841*s[4])/16 - (60693*s[5])/88 - (289505*s[6])/176 - 
       (15810847*s[7])/1056 + (232095*s[8])/176 + (50467*s[9])/4 + 
       (14361*s[10])/4 + (5831469*s[11])/352 + (1617025*s[12])/88 + 
       (11689049*s[13])/1056 + (478729*s[14])/352 + (1881305*s[15])/96 + 
       (13172035*s[16])/528 + (19691473*s[17])/1056 + (51233*s[18])/18 + 
       (289283*s[19])/144 + (46215239*s[20])/1584 + (33487847*s[21])/3168 - 
       (2768919*s[22])/352 - (10283063*s[23])/528 - (8384227*s[24])/528 + 
       (303852247*s[25])/14256 - (164947489*s[26])/14256 - 3*s[30] - 
       6*s[31] - (3*s[33])/2 + (27*s[34])/2 + 12*s[35] + (111*s[36])/4 - 
       74*s[37] - (2421*s[38])/4 + (38299*s[39])/16 - (42151*s[40])/16 + 
       (32017*s[41])/16 - (55533*s[42])/16 - (335661*s[43])/176 + 
       (724995*s[44])/352 - (176751*s[45])/88 + (2923581*s[46])/176 - 
       (1069753*s[47])/1056 + (175205*s[48])/1056 + (9091531*s[49])/1056 - 
       (549745*s[50])/44 - (842021*s[51])/352 - (2099657*s[52])/1056 + 
       (1527037*s[53])/176 - (75835*s[54])/88 + (57371783*s[55])/1056 + 
       (15606161*s[56])/1056 - (8101849*s[57])/396 + (260609803*s[58])/9504 - 
       (262274929*s[59])/9504 - (839828953*s[60])/6336 + 
       (603040699*s[61])/85536 + (3*s[62])/4 + (9*s[70])/2 + (3*s[71])/4 - 
       12*s[72] + (39*s[74])/4 - (39*s[75])/4 + 12*s[76] + (3*s[77])/2 - 
       12*s[78] - 198*s[79] + 52*s[80] + 78*s[82] + 9*s[83] - 54*s[84]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 1 - u]*(-6*s[2] - (177*s[3])/8 - 
       (17953*s[4])/16 - (126911*s[5])/176 - (158865*s[6])/88 - 
       (17656055*s[7])/1056 + (3530939*s[8])/2376 + (6100079*s[9])/432 + 
       (1735375*s[10])/432 + (58529467*s[11])/3168 + (32514709*s[12])/1584 + 
       (39241651*s[13])/3168 + (4515637*s[14])/3168 + (6288017*s[15])/288 + 
       (43969703*s[16])/1584 + (65411587*s[17])/3168 + (4020241*s[18])/1296 + 
       (2949821*s[19])/1296 + (463384967*s[20])/14256 + 
       (333259225*s[21])/28512 - (250725767*s[22])/28512 - 
       (33809665*s[23])/1584 - (252440761*s[24])/14256 + 
       (6113192539*s[25])/256608 - (3302762899*s[26])/256608 - 3*s[30] - 
       6*s[31] - (21*s[33])/8 + 15*s[34] + (51*s[35])/2 + (389*s[36])/12 - 
       (883*s[37])/12 - (2761*s[38])/4 + (43477*s[39])/16 - 
       (143771*s[40])/48 + (36719*s[41])/16 - (188977*s[42])/48 - 
       (1172185*s[43])/528 + (2479931*s[44])/1056 - (297817*s[45])/132 + 
       (9937259*s[46])/528 - (3569737*s[47])/3168 + (543053*s[48])/3168 + 
       (31598035*s[49])/3168 - (471514*s[50])/33 - (8548223*s[51])/3168 - 
       (7185209*s[52])/3168 + (15580381*s[53])/1584 - (186287*s[54])/264 + 
       (65213897*s[55])/1056 + (17193179*s[56])/1056 - (5791231*s[57])/264 + 
       (291219161*s[58])/9504 - (293817743*s[59])/9504 - 
       (2879951605*s[60])/19008 + (662374579*s[61])/85536 - (3*s[71])/4 - 
       12*s[72] + 12*s[74] - 12*s[75] + 12*s[76] + 6*s[77] - 12*s[78] - 
       246*s[79] + (190*s[80])/3 + 192*s[82] + 9*s[83] - 54*s[84]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1}, 1 - u]*(-6*s[2] - (75*s[3])/2 - 
       (9287*s[4])/8 - (11115*s[5])/16 - (28417*s[6])/16 - (608683*s[7])/36 + 
       (644767*s[8])/432 + (6152731*s[9])/432 + (1768295*s[10])/432 + 
       (2696285*s[11])/144 + (2996767*s[12])/144 + (912113*s[13])/72 + 
       (88771*s[14])/72 + (3169147*s[15])/144 + (2017187*s[16])/72 + 
       (249487*s[17])/12 + (3900137*s[18])/1296 + (201703*s[19])/81 + 
       (2640518*s[20])/81 + (15037487*s[21])/1296 - (5761703*s[22])/648 - 
       (771839*s[23])/36 - (1465555*s[24])/81 + (565657411*s[25])/23328 - 
       (301713871*s[26])/23328 - (9*s[30])/2 - 6*s[31] - (33*s[33])/8 + 
       (39*s[34])/2 + (51*s[35])/2 + (389*s[36])/12 - (883*s[37])/12 - 
       (2761*s[38])/4 + (43477*s[39])/16 - (143771*s[40])/48 + 
       (36719*s[41])/16 - (188977*s[42])/48 - (1172185*s[43])/528 + 
       (2479931*s[44])/1056 - (297817*s[45])/132 + (9937259*s[46])/528 - 
       (3569737*s[47])/3168 + (543053*s[48])/3168 + (31598035*s[49])/3168 - 
       (471514*s[50])/33 - (8548223*s[51])/3168 - (7185209*s[52])/3168 + 
       (15580381*s[53])/1584 - (186287*s[54])/264 + (65213897*s[55])/1056 + 
       (17193179*s[56])/1056 - (5791231*s[57])/264 + (291219161*s[58])/9504 - 
       (293817743*s[59])/9504 - (2879951605*s[60])/19008 + 
       (662374579*s[61])/85536 - (3*s[71])/4 - 12*s[72] + 12*s[74] - 
       12*s[75] + 12*s[76] + 6*s[77] - 12*s[78] - 246*s[79] + (190*s[80])/3 + 
       192*s[82] + 9*s[83] - 54*s[84]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 0, 1}, 1 - w]*(6*s[2] - 3*s[3] - 201*s[4] - 
       (3291*s[5])/44 - (25691*s[6])/88 - (638335*s[7])/264 + 
       (514205*s[8])/2376 + (435631*s[9])/216 + (28097*s[10])/54 + 
       (4458131*s[11])/1584 + (5151259*s[12])/1584 + (208619*s[13])/99 + 
       (58165*s[14])/792 + (203003*s[15])/72 + (775183*s[16])/198 + 
       (4170737*s[17])/1584 + (224375*s[18])/648 + (279649*s[19])/648 + 
       (31778671*s[20])/7128 + (1314782*s[21])/891 - (1145176*s[22])/891 - 
       (4764901*s[23])/1584 - (38292553*s[24])/14256 + 
       (480517403*s[25])/128304 - (237914321*s[26])/128304 + 4*s[29] - 
       2*s[30] + 4*s[31] + s[32] + 2*s[33] - 2*s[34] + (3*s[35])/2 + 
       (39*s[36])/2 - (161*s[37])/6 - (291*s[38])/2 + (2243*s[39])/4 - 
       (2559*s[40])/4 + (1911*s[41])/4 - (3197*s[42])/4 - (20893*s[43])/44 + 
       (24389*s[44])/44 - (43399*s[45])/132 + (218519*s[46])/66 - 
       (17819*s[47])/88 - (7149*s[48])/88 + (196017*s[49])/88 - 
       (110701*s[50])/44 - (139655*s[51])/264 - (4802*s[52])/11 + 
       (318973*s[53])/198 + (1855*s[54])/33 + (869005*s[55])/88 + 
       (1882367*s[56])/792 - (5547391*s[57])/1188 + (38662813*s[58])/7128 - 
       (39088873*s[59])/7128 - (43760875*s[60])/1584 + 
       (70382959*s[61])/64152 + s[64] + 2*s[65] + 4*s[66] - 4*s[67] - 
       6*s[68] - 6*s[69] - 2*s[71] - 4*s[72] + 8*s[73] + 4*s[74] - 3*s[75] - 
       2*s[76] + 2*s[77] - 12*s[78] - 84*s[79] + (109*s[80])/3 - 54*s[82] + 
       9*s[83] - 30*s[84]) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      (-7*s[2] + (45*s[3])/2 - (1091*s[4])/4 - (1635*s[5])/22 - 
       (26959*s[6])/88 - (146843*s[7])/44 + (260243*s[8])/792 + 
       (201343*s[9])/72 + (27925*s[10])/36 + (2010875*s[11])/528 + 
       (2323141*s[12])/528 + (719977*s[13])/264 - (12373*s[14])/132 + 
       (24521*s[15])/6 + (722537*s[16])/132 + (1954397*s[17])/528 + 
       (93695*s[18])/216 + (143353*s[19])/216 + (14615959*s[20])/2376 + 
       (4573135*s[21])/2376 - (4264157*s[22])/2376 - (2205499*s[23])/528 - 
       (17994439*s[24])/4752 + (219541307*s[25])/42768 - 
       (104555669*s[26])/42768 - 4*s[31] + 3*s[32] - 4*s[33] + 8*s[34] + 
       (3*s[35])/2 + (39*s[36])/2 - (161*s[37])/6 - (291*s[38])/2 + 
       (2243*s[39])/4 - (2559*s[40])/4 + (1911*s[41])/4 - (3197*s[42])/4 - 
       (20893*s[43])/44 + (24389*s[44])/44 - (43399*s[45])/132 + 
       (218519*s[46])/66 - (17819*s[47])/88 - (7149*s[48])/88 + 
       (196017*s[49])/88 - (110701*s[50])/44 - (139655*s[51])/264 - 
       (4802*s[52])/11 + (318973*s[53])/198 + (1855*s[54])/33 + 
       (869005*s[55])/88 + (1882367*s[56])/792 - (5547391*s[57])/1188 + 
       (38662813*s[58])/7128 - (39088873*s[59])/7128 - 
       (43760875*s[60])/1584 + (70382959*s[61])/64152 + s[64] + 2*s[65] + 
       4*s[66] - 4*s[67] - 6*s[68] - 6*s[69] - 2*s[71] - 4*s[72] + 8*s[73] + 
       4*s[74] - 3*s[75] - 2*s[76] + 2*s[77] - 12*s[78] - 84*s[79] + 
       (109*s[80])/3 - 54*s[82] + 9*s[83] - 30*s[84]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1}, 1 - w]*
      ((19*s[2])/4 - (313*s[3])/8 - (4961*s[4])/16 - (3371*s[5])/22 - 
       (77071*s[6])/176 - (12702055*s[7])/3168 + (1835857*s[8])/4752 + 
       (358145*s[9])/108 + (196895*s[10])/216 + (14172745*s[11])/3168 + 
       (4005641*s[12])/792 + (3220093*s[13])/1056 + (556045*s[14])/3168 + 
       (162529*s[15])/32 + (868981*s[16])/132 + (14931071*s[17])/3168 + 
       (251797*s[18])/324 + (704813*s[19])/1296 + (108695729*s[20])/14256 + 
       (75474859*s[21])/28512 - (59380799*s[22])/28512 - (375557*s[23])/66 - 
       (29902691*s[24])/7128 + (753377981*s[25])/128304 - 
       (393236285*s[26])/128304 - 2*s[30] + s[31] - (3*s[32])/2 + 
       (7*s[33])/8 - s[34] - s[35]/2 + (43*s[36])/6 - (187*s[37])/12 - 
       (323*s[38])/2 + (2587*s[39])/4 - (8567*s[40])/12 + (1063*s[41])/2 - 
       (11251*s[42])/12 - (68095*s[43])/132 + (293149*s[44])/528 - 
       (139685*s[45])/264 + (1166377*s[46])/264 - (426743*s[47])/1584 + 
       (95053*s[48])/1584 + (3560045*s[49])/1584 - (214703*s[50])/66 - 
       (1035763*s[51])/1584 - (899929*s[52])/1584 + (445673*s[53])/198 - 
       (25241*s[54])/66 + (7424633*s[55])/528 + (2098513*s[56])/528 - 
       (1562755*s[57])/264 + (35386057*s[58])/4752 - (35045575*s[59])/4752 - 
       (330126521*s[60])/9504 + (81155753*s[61])/42768 + 2*s[70] - s[71] - 
       3*s[72] - s[73] + (9*s[74])/4 - (9*s[75])/4 + 2*s[76] - s[77]/2 - 
       3*s[78] - 52*s[79] + (131*s[80])/6 + 42*s[82] + 3*s[83] - 24*s[84]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1}, 1 - v]*
      ((-31*s[2])/4 + (23*s[3])/8 - (3495*s[4])/16 - (18059*s[5])/88 - 
       (85923*s[6])/176 - (4078829*s[7])/1056 + (1553009*s[8])/4752 + 
       (354325*s[9])/108 + (97871*s[10])/108 + (13544933*s[11])/3168 + 
       (1871789*s[12])/396 + (9104615*s[13])/3168 + (1598177*s[14])/3168 + 
       (1423345*s[15])/288 + (5026433*s[16])/792 + (15051923*s[17])/3168 + 
       (263507*s[18])/324 + (504121*s[19])/1296 + (107951749*s[20])/14256 + 
       (81693323*s[21])/28512 - (57885379*s[22])/28512 - 
       (3940627*s[23])/792 - (3571703*s[24])/891 + (695282869*s[25])/128304 - 
       (391940497*s[26])/128304 - s[30]/2 - 4*s[31] + 2*s[32] + (5*s[33])/2 + 
       (3*s[34])/2 - s[35]/2 + (43*s[36])/6 - (187*s[37])/12 - 
       (323*s[38])/2 + (2587*s[39])/4 - (8567*s[40])/12 + (1063*s[41])/2 - 
       (11251*s[42])/12 - (68095*s[43])/132 + (293149*s[44])/528 - 
       (139685*s[45])/264 + (1166377*s[46])/264 - (426743*s[47])/1584 + 
       (95053*s[48])/1584 + (3560045*s[49])/1584 - (214703*s[50])/66 - 
       (1035763*s[51])/1584 - (899929*s[52])/1584 + (445673*s[53])/198 - 
       (25241*s[54])/66 + (7424633*s[55])/528 + (2098513*s[56])/528 - 
       (1562755*s[57])/264 + (35386057*s[58])/4752 - (35045575*s[59])/4752 - 
       (330126521*s[60])/9504 + (81155753*s[61])/42768 + 2*s[70] - s[71] - 
       3*s[72] - s[73] + (9*s[74])/4 - (9*s[75])/4 + 2*s[76] - s[77]/2 - 
       3*s[78] - 52*s[79] + (131*s[80])/6 + 42*s[82] + 3*s[83] - 24*s[84]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]^2*(-2*s[2] - (89*s[3])/8 - 
       (5303*s[4])/16 - (2514*s[5])/11 - (97417*s[6])/176 - 
       (16005181*s[7])/3168 + (2135527*s[8])/4752 + (923143*s[9])/216 + 
       (262391*s[10])/216 + (17530021*s[11])/3168 + (2419063*s[12])/396 + 
       (1281095*s[13])/352 + (1515865*s[14])/3168 + (636653*s[15])/96 + 
       (4425023*s[16])/528 + (20015807*s[17])/3168 + (639425*s[18])/648 + 
       (819161*s[19])/1296 + (140857763*s[20])/14256 + 
       (102481075*s[21])/28512 - (75456503*s[22])/28512 - 
       (1166265*s[23])/176 - (74611495*s[24])/14256 + 
       (227677547*s[25])/32076 - (249682387*s[26])/64152 - 2*s[30] - 
       2*s[31] - (3*s[33])/2 + 6*s[34] + 9*s[35] + (173*s[36])/12 - 
       (239*s[37])/12 - (815*s[38])/4 + (12887*s[39])/16 - (42329*s[40])/48 + 
       (10933*s[41])/16 - (56203*s[42])/48 - (342043*s[43])/528 + 
       (716417*s[44])/1056 - (46969*s[45])/66 + (1012167*s[46])/176 - 
       (1086763*s[47])/3168 + (360551*s[48])/3168 + (9080521*s[49])/3168 - 
       (287369*s[50])/66 - (2598173*s[51])/3168 - (2206715*s[52])/3168 + 
       (1613593*s[53])/528 - (27623*s[54])/88 + (20264819*s[55])/1056 + 
       (16140371*s[56])/3168 - (3786653*s[57])/594 + (265948657*s[58])/
        28512 - (268812799*s[59])/28512 - (872437663*s[60])/19008 + 
       (624312451*s[61])/256608 + (3*s[71])/4 - 4*s[72] + 4*s[74] - 4*s[75] + 
       4*s[76] + 2*s[77] - 4*s[78] - 58*s[79] + (35*s[80])/3 + 114*s[82] + 
       3*s[83] - 18*s[84]) + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]^2*
      (-2*s[2] - (31*s[3])/4 - (2783*s[4])/8 - (10297*s[5])/44 - 
       (50273*s[6])/88 - (2783071*s[7])/528 + (361711*s[8])/792 + 
       (320891*s[9])/72 + (46343*s[10])/36 + (3053581*s[11])/528 + 
       (1679857*s[12])/264 + (675967*s[13])/176 + (265495*s[14])/528 + 
       (335641*s[15])/48 + (770163*s[16])/88 + (3511319*s[17])/528 + 
       (52501*s[18])/54 + (157397*s[19])/216 + (24433895*s[20])/2376 + 
       (17704669*s[21])/4752 - (13134353*s[22])/4752 - (582541*s[23])/88 - 
       (1658957*s[24])/297 + (158987183*s[25])/21384 - 
       (86748647*s[26])/21384 - s[30] - 2*s[31] - (15*s[33])/8 + 
       (15*s[34])/2 + 9*s[35] + (173*s[36])/12 - (239*s[37])/12 - 
       (815*s[38])/4 + (12887*s[39])/16 - (42329*s[40])/48 + 
       (10933*s[41])/16 - (56203*s[42])/48 - (342043*s[43])/528 + 
       (716417*s[44])/1056 - (46969*s[45])/66 + (1012167*s[46])/176 - 
       (1086763*s[47])/3168 + (360551*s[48])/3168 + (9080521*s[49])/3168 - 
       (287369*s[50])/66 - (2598173*s[51])/3168 - (2206715*s[52])/3168 + 
       (1613593*s[53])/528 - (27623*s[54])/88 + (20264819*s[55])/1056 + 
       (16140371*s[56])/3168 - (3786653*s[57])/594 + (265948657*s[58])/
        28512 - (268812799*s[59])/28512 - (872437663*s[60])/19008 + 
       (624312451*s[61])/256608 + (3*s[71])/4 - 4*s[72] + 4*s[74] - 4*s[75] + 
       4*s[76] + 2*s[77] - 4*s[78] - 58*s[79] + (35*s[80])/3 + 114*s[82] + 
       3*s[83] - 18*s[84]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*
      HPL[{0, 1}, 1 - u]*(-s[2]/2 - (7*s[3])/2 - (1793*s[4])/16 - 
       (40477*s[5])/528 - (101773*s[6])/528 - (171217*s[7])/99 + 
       (90155*s[8])/594 + (631385*s[9])/432 + (181801*s[10])/432 + 
       (3007637*s[11])/1584 + (6646763*s[12])/3168 + (663389*s[13])/528 + 
       (288209*s[14])/1584 + (108067*s[15])/48 + (1516133*s[16])/528 + 
       (3417025*s[17])/1584 + (902897*s[18])/2592 + (529675*s[19])/2592 + 
       (24208837*s[20])/7128 + (8819089*s[21])/7128 - 
       (25915751*s[22])/28512 - (1181665*s[23])/528 - 
       (51057803*s[24])/28512 + (623540491*s[25])/256608 - 
       (171386639*s[26])/128304 - s[30]/4 - s[31]/2 + (5*s[32])/8 + 
       (3*s[34])/2 + (95*s[36])/24 - (47*s[37])/6 - (175*s[38])/3 + 
       (24097*s[39])/96 - (26729*s[40])/96 + (6861*s[41])/32 - 
       (35779*s[42])/96 - (198527*s[43])/1056 + (221237*s[44])/1056 - 
       (338431*s[45])/1584 + (618113*s[46])/352 - (375649*s[47])/3168 + 
       (73981*s[48])/1584 + (2657971*s[49])/3168 - (86563*s[50])/66 - 
       (53105*s[51])/198 - (354103*s[52])/1584 + (319435*s[53])/352 - 
       (34415*s[54])/264 + (9015553*s[55])/1584 + (5123441*s[56])/3168 - 
       (22486769*s[57])/9504 + (21238489*s[58])/7128 - 
       (41897441*s[59])/14256 - (260551153*s[60])/19008 + 
       (198302479*s[61])/256608 - s[68]/2 + s[69]/2 + s[70] + s[71]/8 - 
       s[72] + (3*s[74])/2 - (3*s[75])/2 + s[76] - s[77] - s[78] - 
       (49*s[79])/2 + 6*s[80] + (21*s[82])/2 - 12*s[84]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((73*s[2])/2 - (659*s[3])/4 - (1503*s[4])/8 + (19171*s[5])/132 + 
       (30431*s[6])/264 + (3149389*s[7])/1584 + (1471*s[8])/88 - 
       (6175*s[9])/3 - (5839*s[10])/6 - (1179121*s[11])/528 - 
       (102417*s[12])/44 - (1915229*s[13])/1584 - (710509*s[14])/528 - 
       (40307*s[15])/16 - (1445681*s[16])/396 - (4753621*s[17])/1584 - 
       (12803*s[18])/27 - (35321*s[19])/216 - (13046171*s[20])/2376 - 
       (11520587*s[21])/4752 + (1962049*s[22])/1584 - (274943*s[23])/396 + 
       (1004389*s[24])/396 - (44229271*s[25])/21384 + 
       (37121611*s[26])/21384 - 3*s[30] + 12*s[31] - 21*s[32] + 
       (33*s[33])/2 - 6*s[34] + (35*s[35])/3 - (3*s[36])/2 - 15*s[37] - 
       (121*s[38])/6 - (2719*s[39])/24 + (4171*s[40])/24 - (871*s[41])/8 + 
       (6425*s[42])/24 - (19069*s[43])/88 - (65597*s[44])/528 - 
       (43853*s[45])/66 + (218475*s[46])/88 + (124717*s[47])/528 - 
       (68479*s[48])/176 + (28139*s[49])/176 - (58882*s[50])/33 + 
       (278453*s[51])/1584 + (71185*s[52])/528 + (1433153*s[53])/792 - 
       (69389*s[54])/132 + (19193599*s[55])/1584 + (4786913*s[56])/1584 + 
       (8076613*s[57])/1188 + (23519587*s[58])/14256 - 
       (31587241*s[59])/14256 - (65433935*s[60])/3168 + 
       (207972883*s[61])/128304 - 2*s[64] - s[65] - 8*s[66] + 12*s[67] + 
       5*s[68] + 15*s[69] - s[70] + 7*s[71] + 6*s[72] - 26*s[73] - 12*s[74] + 
       5*s[76] - 9*s[77] + 17*s[78] + 146*s[79] - (298*s[80])/3 + 157*s[82] - 
       (45*s[83])/2 - 9*s[84]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - u]*((-2*s[2])/3 - (19*s[3])/16 - (1903*s[4])/24 - 
       (3143*s[5])/64 - (23965*s[6])/192 - (4089511*s[7])/3456 + 
       (256733*s[8])/2592 + (326017*s[9])/324 + (399893*s[10])/1296 + 
       (4506175*s[11])/3456 + (2462887*s[12])/1728 + (110413*s[13])/128 + 
       (407281*s[14])/3456 + (1852211*s[15])/1152 + (1162487*s[16])/576 + 
       (5374787*s[17])/3456 + (739073*s[18])/3888 + (1567673*s[19])/7776 + 
       (36375521*s[20])/15552 + (25974595*s[21])/31104 - 
       (19505735*s[22])/31104 - (10959*s[23])/8 - (10270859*s[24])/7776 + 
       (469923811*s[25])/279936 - (253756285*s[26])/279936 - (5*s[30])/6 + 
       s[32]/4 + (3*s[33])/8 + s[34]/3 + (31*s[35])/6 + (241*s[36])/36 - 
       (1715*s[37])/288 - (2141*s[38])/48 + (5591*s[39])/32 - 
       (55571*s[40])/288 + (7315*s[41])/48 - (18163*s[42])/72 - 
       (454945*s[43])/3168 + (1952569*s[44])/12672 - (883939*s[45])/6336 + 
       (838815*s[46])/704 - (2569595*s[47])/38016 + (444625*s[48])/38016 + 
       (25371749*s[49])/38016 - (734281*s[50])/792 - (6573811*s[51])/38016 - 
       (5223469*s[52])/38016 + (1336801*s[53])/2112 + (14989*s[54])/528 + 
       (5569305*s[55])/1408 + (37154203*s[56])/38016 - 
       (79918397*s[57])/57024 + (661475249*s[58])/342144 - 
       (681413741*s[59])/342144 - (2230456913*s[60])/228096 + 
       (715630363*s[61])/1539648 + s[66]/4 - s[67]/4 - s[69]/2 - s[70]/4 + 
       s[71]/16 - s[72]/2 - s[73] + (11*s[74])/12 - (11*s[75])/12 - s[76]/4 + 
       s[77]/2 - s[78] - (209*s[79])/12 + (379*s[80])/144 - (11*s[82])/4 + 
       (3*s[83])/8 - (3*s[84])/2) + 6*D33[u, v, w]*s[84] + 
     D33[v, w, u]*((7*s[2])/4 - (79*s[3])/8 + (1261*s[4])/16 + 
       (3275*s[5])/44 + (27471*s[6])/176 + (515615*s[7])/352 - 
       (58645*s[8])/528 - (7567*s[9])/6 - (9011*s[10])/24 - 
       (570421*s[11])/352 - (156461*s[12])/88 - (378683*s[13])/352 - 
       (68961*s[14])/352 - (61201*s[15])/32 - (215221*s[16])/88 - 
       (653459*s[17])/352 - (9685*s[18])/36 - (29105*s[19])/144 - 
       (4624385*s[20])/1584 - (3432223*s[21])/3168 + (2482115*s[22])/3168 + 
       (147149*s[23])/88 + (313901*s[24])/198 - (29135441*s[25])/14256 + 
       (16212017*s[26])/14256 + s[31] - s[32]/2 - s[33]/8 - 2*s[34] - 
       s[35]/2 - (11*s[36])/2 + (33*s[37])/4 + (121*s[38])/2 - 
       (473*s[39])/2 + 262*s[40] - (811*s[41])/4 + (683*s[42])/2 + 
       (4237*s[43])/22 - (37507*s[44])/176 + (16103*s[45])/88 - 
       (140809*s[46])/88 + (47833*s[47])/528 + (49*s[48])/528 - 
       (472267*s[49])/528 + (27031*s[50])/22 + (123913*s[51])/528 + 
       (99827*s[52])/528 - (27248*s[53])/33 + (153*s[54])/22 - 
       (2732221*s[55])/528 - (236695*s[56])/176 + (175251*s[57])/88 - 
       (4164851*s[58])/1584 + (4205345*s[59])/1584 + (41275495*s[60])/3168 - 
       (9147745*s[61])/14256 + s[67] + s[72] - s[73] - (5*s[74])/4 + 
       (5*s[75])/4 - s[77]/2 + s[78] + 24*s[79] - (13*s[80])/2 + 6*s[84]) + 
     D33[w, u, v]*((-3*s[2])/4 + (65*s[3])/8 + (1967*s[4])/16 + 
       (3041*s[5])/88 + (23863*s[6])/176 + (1458053*s[7])/1056 - 
       (25283*s[8])/176 - (4553*s[9])/4 - (1263*s[10])/4 - 
       (548201*s[11])/352 - (78467*s[12])/44 - (1150921*s[13])/1056 + 
       (10547*s[14])/352 - (168859*s[15])/96 - (302267*s[16])/132 - 
       (1675829*s[17])/1056 - (4039*s[18])/18 - (33397*s[19])/144 - 
       (4059601*s[20])/1584 - (2688799*s[21])/3168 + (766109*s[22])/1056 + 
       (65206*s[23])/33 + (392593*s[24])/264 - (29743103*s[25])/14256 + 
       (14853539*s[26])/14256 + s[30]/2 - s[33]/2 - s[34]/2 - s[35]/2 - 
       (11*s[36])/2 + (33*s[37])/4 + (121*s[38])/2 - (473*s[39])/2 + 
       262*s[40] - (811*s[41])/4 + (683*s[42])/2 + (4237*s[43])/22 - 
       (37507*s[44])/176 + (16103*s[45])/88 - (140809*s[46])/88 + 
       (47833*s[47])/528 + (49*s[48])/528 - (472267*s[49])/528 + 
       (27031*s[50])/22 + (123913*s[51])/528 + (99827*s[52])/528 - 
       (27248*s[53])/33 + (153*s[54])/22 - (2732221*s[55])/528 - 
       (236695*s[56])/176 + (175251*s[57])/88 - (4164851*s[58])/1584 + 
       (4205345*s[59])/1584 + (41275495*s[60])/3168 - (9147745*s[61])/14256 + 
       s[67] + s[72] - s[73] - (5*s[74])/4 + (5*s[75])/4 - s[77]/2 + s[78] + 
       24*s[79] - (13*s[80])/2 + 6*s[84]) + B8[v, w, u]*HPL[{1}, 1 - w]*
      ((7*s[2])/4 - (79*s[3])/8 + (901*s[4])/16 + (647*s[5])/11 + 
       (20643*s[6])/176 + (1167493*s[7])/1056 - (128435*s[8])/1584 - 
       (17219*s[9])/18 - (20683*s[10])/72 - (1287095*s[11])/1056 - 
       (350821*s[12])/264 - (844897*s[13])/1056 - (171539*s[14])/1056 - 
       (139459*s[15])/96 - (488569*s[16])/264 - (501651*s[17])/352 - 
       (11101*s[18])/54 - (64963*s[19])/432 - (10545547*s[20])/4752 - 
       (7894229*s[21])/9504 + (5633161*s[22])/9504 + (327497*s[23])/264 + 
       (1414427*s[24])/1188 - (65295589*s[25])/42768 + 
       (36676165*s[26])/42768 + s[31] - s[32]/2 + (5*s[33])/8 - 2*s[34] - 
       s[35]/2 - (9*s[36])/2 + (23*s[37])/4 + (89*s[38])/2 - 180*s[39] + 
       (397*s[40])/2 - (621*s[41])/4 + (525*s[42])/2 + (1561*s[43])/11 - 
       (28383*s[44])/176 + (11947*s[45])/88 - (106097*s[46])/88 + 
       (38077*s[47])/528 - (4163*s[48])/528 - (354559*s[49])/528 + 
       (20511*s[50])/22 + (95581*s[51])/528 + (75359*s[52])/528 - 
       (20723*s[53])/33 - (109*s[54])/22 - (688931*s[55])/176 - 
       (176971*s[56])/176 + (397807*s[57])/264 - (348303*s[58])/176 + 
       (1056535*s[59])/528 + (30969139*s[60])/3168 - (6864317*s[61])/14256 - 
       s[66] + s[67] + s[69] + s[72] - s[73] - (5*s[74])/4 + (5*s[75])/4 - 
       s[77]/2 + s[78] + 18*s[79] - (9*s[80])/2 + 6*s[84]) + 
     B8[w, u, v]*HPL[{1}, 1 - v]*((-3*s[2])/4 + (49*s[3])/8 + 
       (1567*s[4])/16 + (1931*s[5])/88 + (17123*s[6])/176 + 
       (1094629*s[7])/1056 - (180751*s[8])/1584 - (7649*s[9])/9 - 
       (4205*s[10])/18 - (1234603*s[11])/1056 - (88775*s[12])/66 - 
       (288027*s[13])/352 + (50177*s[14])/1056 - (42321*s[15])/32 - 
       (18933*s[16])/11 - (1247597*s[17])/1056 - (17899*s[18])/108 - 
       (76655*s[19])/432 - (9065123*s[20])/4752 - (5869789*s[21])/9504 + 
       (5169269*s[22])/9504 + (67671*s[23])/44 + (2630051*s[24])/2376 - 
       (67509515*s[25])/42768 + (33130271*s[26])/42768 + s[30]/2 - s[33]/2 - 
       s[34]/2 - s[35]/2 - (9*s[36])/2 + (23*s[37])/4 + (89*s[38])/2 - 
       180*s[39] + (397*s[40])/2 - (621*s[41])/4 + (525*s[42])/2 + 
       (1561*s[43])/11 - (28383*s[44])/176 + (11947*s[45])/88 - 
       (106097*s[46])/88 + (38077*s[47])/528 - (4163*s[48])/528 - 
       (354559*s[49])/528 + (20511*s[50])/22 + (95581*s[51])/528 + 
       (75359*s[52])/528 - (20723*s[53])/33 - (109*s[54])/22 - 
       (688931*s[55])/176 - (176971*s[56])/176 + (397807*s[57])/264 - 
       (348303*s[58])/176 + (1056535*s[59])/528 + (30969139*s[60])/3168 - 
       (6864317*s[61])/14256 - s[66] + s[67] + s[69] + s[72] - s[73] - 
       (5*s[74])/4 + (5*s[75])/4 - s[77]/2 + s[78] + 18*s[79] - (9*s[80])/2 + 
       6*s[84]) + HPL[{0, 1}, 1 - v]*M1[w, u, v]*((7*s[2])/2 - (53*s[3])/4 + 
       (1131*s[4])/4 + (15969*s[5])/88 + (19597*s[6])/44 + 
       (1652171*s[7])/396 - (870241*s[8])/2376 - (191633*s[9])/54 - 
       (104633*s[10])/108 - (7319953*s[11])/1584 - (8153789*s[12])/1584 - 
       (2472523*s[13])/792 - (248825*s[14])/792 - (48487*s[15])/9 - 
       (5439175*s[16])/792 - (884159*s[17])/176 - (130645*s[18])/162 - 
       (159691*s[19])/324 - (57563519*s[20])/7128 - (21002159*s[21])/7128 + 
       (15790627*s[22])/7128 + (8835229*s[23])/1584 + 
       (61432727*s[24])/14256 - (762639499*s[25])/128304 + 
       (414736435*s[26])/128304 + (5*s[30])/2 + 3*s[31] - (3*s[32])/2 + 
       (11*s[33])/8 - (17*s[34])/2 - 8*s[35] - (107*s[36])/6 + 
       (197*s[37])/12 + (369*s[38])/2 - (5815*s[39])/8 + (19217*s[40])/24 - 
       (5093*s[41])/8 + (25303*s[42])/24 + (160747*s[43])/264 - 
       (170425*s[44])/264 + (160561*s[45])/264 - (339545*s[46])/66 + 
       (211589*s[47])/792 + (787*s[48])/99 - (2167331*s[49])/792 + 
       (519347*s[50])/132 + (71579*s[51])/99 + (235139*s[52])/396 - 
       (536845*s[53])/198 + (4991*s[54])/33 - (2245225*s[55])/132 - 
       (1186825*s[56])/264 + (504381*s[57])/88 - (19718737*s[58])/2376 + 
       (5014117*s[59])/594 + (98729665*s[60])/2376 - (90742609*s[61])/42768 - 
       s[66] + s[67] - 2*s[68] + 4*s[69] - 2*s[70] - s[71] + 4*s[72] - 
       4*s[74] + 4*s[75] - s[76] - s[77] + 4*s[78] + 64*s[79] - 
       (49*s[80])/6 - 84*s[82] - (3*s[83])/2 + 21*s[84]) + 
     HPL[{0, 1}, 1 - u]*M1[w, u, v]*((-7*s[2])/2 + s[3]/4 + (391*s[4])/2 + 
       (2591*s[5])/44 + (4861*s[6])/22 + (1651783*s[7])/792 - 
       (502433*s[8])/2376 - (187625*s[9])/108 - (89789*s[10])/216 - 
       (1859335*s[11])/792 - (2136155*s[12])/792 - (221479*s[13])/132 + 
       (23737*s[14])/396 - (31061*s[15])/12 - (73741*s[16])/22 - 
       (897085*s[17])/396 - (225083*s[18])/648 - (95123*s[19])/324 - 
       (26872981*s[20])/7128 - (2202187*s[21])/1782 + (7849829*s[22])/7128 + 
       (832171*s[23])/264 + (7709731*s[24])/3564 - (407182697*s[25])/128304 + 
       (200626667*s[26])/128304 + s[30]/2 - s[31] + s[32]/2 - (21*s[33])/8 - 
       s[34]/2 - 6*s[35] - (19*s[36])/2 + (83*s[37])/12 + (213*s[38])/2 - 
       (3157*s[39])/8 + (3569*s[40])/8 - (2851*s[41])/8 + (4507*s[42])/8 + 
       (31115*s[43])/88 - (64643*s[44])/176 + (94189*s[45])/264 - 
       (386327*s[46])/132 + (60635*s[47])/528 + (34961*s[48])/528 - 
       (813305*s[49])/528 + (49201*s[50])/22 + (214501*s[51])/528 + 
       (174613*s[52])/528 - (151969*s[53])/99 + (19759*s[54])/132 - 
       (1701167*s[55])/176 - (4084253*s[56])/1584 + (855812*s[57])/297 - 
       (65674189*s[58])/14256 + (66471769*s[59])/14256 + 
       (25254235*s[60])/1056 - (77291765*s[61])/64152 + s[66] - s[67] - 
       2*s[68] - s[71] - 2*s[74] + 2*s[75] + s[76] - s[77] - 4*s[78] + 
       48*s[79] - (55*s[80])/6 - 72*s[82] + (3*s[83])/2 + 27*s[84]) + 
     HPL[{0, 1}, 1 - w]*M1[w, u, v]*((-33*s[3])/2 + (1761*s[4])/8 + 
       (9275*s[5])/88 + (24115*s[6])/88 + (1123123*s[7])/396 - 
       (607183*s[8])/2376 - (521189*s[9])/216 - (138997*s[10])/216 - 
       (5022037*s[11])/1584 - (5650949*s[12])/1584 - (578125*s[13])/264 - 
       (7288*s[14])/99 - (21755*s[15])/6 - (409319*s[16])/88 - 
       (5247071*s[17])/1584 - (38633*s[18])/81 - (33994*s[19])/81 - 
       (9533465*s[20])/1782 - (6564913*s[21])/3564 + (10815493*s[22])/7128 + 
       (2039275*s[23])/528 + (42711725*s[24])/14256 - 
       (534972445*s[25])/128304 + (274451263*s[26])/128304 + s[30]/2 + 
       s[31] - s[32]/2 + s[33]/8 - (9*s[34])/2 - 7*s[35] - (25*s[36])/2 + 
       (89*s[37])/12 + (275*s[38])/2 - (4189*s[39])/8 + (4689*s[40])/8 - 
       (3767*s[41])/8 + (6051*s[42])/8 + (39371*s[43])/88 - 
       (10717*s[44])/22 + (114589*s[45])/264 - (490349*s[46])/132 + 
       (3709*s[47])/22 + (3957*s[48])/88 - (22608*s[49])/11 + 
       (127547*s[50])/44 + (140819*s[51])/264 + (36499*s[52])/88 - 
       (388241*s[53])/198 - (97*s[54])/66 - (3244429*s[55])/264 - 
       (1237697*s[56])/396 + (9275383*s[57])/2376 - (20966311*s[58])/3564 + 
       (42792923*s[59])/7128 + (48341855*s[60])/1584 - 
       (189451063*s[61])/128304 - s[66] + s[67] - 2*s[68] + 4*s[69] - s[71] + 
       2*s[72] - 2*s[73] - (7*s[74])/2 + (7*s[75])/2 + s[76] - 2*s[77] + 
       2*s[78] + 60*s[79] - (61*s[80])/6 - 54*s[82] + (3*s[83])/2 + 
       27*s[84]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v]*((19*s[2])/2 - (171*s[3])/2 + (83*s[4])/2 + 
       (7267*s[5])/132 + (19783*s[6])/132 + (451963*s[7])/396 - 
       (109861*s[8])/1188 - (113795*s[9])/108 - (4138*s[10])/27 - 
       (1065553*s[11])/792 - (646915*s[12])/396 - (774947*s[13])/792 - 
       (116437*s[14])/792 - (37789*s[15])/36 - (1313765*s[16])/792 - 
       (212965*s[17])/264 - (36211*s[18])/81 + (19909*s[19])/81 - 
       (1976963*s[20])/891 - (7422451*s[21])/7128 + (4837787*s[22])/7128 + 
       (1964641*s[23])/792 + (5186063*s[24])/7128 - (49993553*s[25])/32076 + 
       (33023801*s[26])/32076 - 3*s[30] + 6*s[31] - 3*s[32] + (3*s[33])/4 - 
       7*s[34] + 20*s[35] - (39*s[36])/2 - (11*s[37])/2 + (343*s[38])/3 - 
       (11785*s[39])/24 + (13453*s[40])/24 - (3651*s[41])/8 + 
       (17837*s[42])/24 + (33789*s[43])/88 - (232619*s[44])/528 + 
       (1984*s[45])/11 - (674129*s[46])/264 + (87697*s[47])/528 + 
       (11537*s[48])/176 - (303209*s[49])/176 + (124939*s[50])/66 + 
       (748577*s[51])/1584 + (217615*s[52])/528 - (925091*s[53])/792 + 
       (3277*s[54])/22 - (10996229*s[55])/1584 - (3337307*s[56])/1584 + 
       (3421513*s[57])/594 - (68752897*s[58])/14256 + 
       (67976863*s[59])/14256 + (6904949*s[60])/352 - 
       (112751635*s[61])/128304 + s[62]/2 - 6*s[66] + 6*s[67] - 7*s[68] + 
       19*s[69] - 6*s[70] - s[71] + 6*s[72] - 6*s[73] - 5*s[74] + 5*s[75] + 
       2*s[76] - 4*s[77] + 13*s[78] + 70*s[79] - (50*s[80])/3 - 77*s[82] + 
       36*s[84]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - u]*((5*s[3])/2 + 529*s[4] + (13715*s[5])/44 + 
       (35681*s[6])/44 + (1437919*s[7])/198 - (65687*s[8])/99 - 
       (220567*s[9])/36 - (28723*s[10])/18 - (177427*s[11])/22 - 
       (597865*s[12])/66 - (1091885*s[13])/198 - (9879*s[14])/22 - 
       (83114*s[15])/9 - (4693531*s[16])/396 - (845975*s[17])/99 - 
       1437*s[18] - (7373*s[19])/9 - (1829521*s[20])/132 - 
       (5940317*s[21])/1188 + (4543907*s[22])/1188 + (2014543*s[23])/198 + 
       (8801681*s[24])/1188 - (55974109*s[25])/5346 + 
       (60103619*s[26])/10692 + 3*s[30] + 2*s[31] - (17*s[33])/4 - 9*s[34] - 
       14*s[35] - (118*s[36])/3 + (89*s[37])/3 + 332*s[38] - 1258*s[39] + 
       (4096*s[40])/3 - 1058*s[41] + (5471*s[42])/3 + (31418*s[43])/33 - 
       (33518*s[44])/33 + (62881*s[45])/66 - (538031*s[46])/66 + 
       (57334*s[47])/99 - (20018*s[48])/99 - (412792*s[49])/99 + 
       (198983*s[50])/33 + (127784*s[51])/99 + (111290*s[52])/99 - 
       (411281*s[53])/99 + (22142*s[54])/33 - (284322*s[55])/11 - 
       (241253*s[56])/33 + (389375*s[57])/33 - (4160450*s[58])/297 + 
       (4126316*s[59])/297 + (75700517*s[60])/1188 - (9067501*s[61])/2673 - 
       4*s[70] - 2*s[71] + 4*s[72] + 4*s[73] - 7*s[74] + 7*s[75] - 4*s[76] + 
       2*s[77] + 4*s[78] + 100*s[79] - (26*s[80])/3 - 180*s[82] - 3*s[83] + 
       42*s[84]) + HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - u]*
      (-4*s[2] + 117*s[3] + 3368*s[4] + (4291*s[5])/2 + (11309*s[6])/2 + 
       (1819267*s[7])/36 - (210995*s[8])/54 - (1155127*s[9])/27 - 
       (650125*s[10])/54 - (2019215*s[11])/36 - (1124411*s[12])/18 - 
       (1391263*s[13])/36 - (182807*s[14])/36 - (2343535*s[15])/36 - 
       (1491011*s[16])/18 - (730735*s[17])/12 - (766250*s[18])/81 - 
       (1102325*s[19])/162 - (15939037*s[20])/162 - (11691971*s[21])/324 + 
       (8611537*s[22])/324 + (1113685*s[23])/18 + (8700629*s[24])/162 - 
       (52464839*s[25])/729 + (28910867*s[26])/729 - 2*s[30] - 4*s[31] + 
       4*s[32] - (9*s[33])/2 - 42*s[34] - 4*s[35] - (244*s[36])/3 + 
       102*s[37] + 2468*s[38] - 7874*s[39] + (26122*s[40])/3 - 6728*s[41] + 
       (32678*s[42])/3 + (21370*s[43])/3 - (41153*s[44])/6 + 7283*s[45] - 
       (169537*s[46])/3 + (52747*s[47])/18 + (13663*s[48])/18 - 
       (539209*s[49])/18 + (125740*s[50])/3 + (136079*s[51])/18 + 
       (126929*s[52])/18 - (255896*s[53])/9 + (7556*s[54])/3 - 
       (1104541*s[55])/6 - (886255*s[56])/18 + (1720307*s[57])/27 - 
       (15028403*s[58])/162 + (15063809*s[59])/162 + (49552405*s[60])/108 - 
       (34189421*s[61])/1458 + 8*s[70] - 48*s[71] - 8*s[72] + 8*s[73] - 
       18*s[74] + 26*s[75] + 8*s[76] - 4*s[77] - 8*s[78] + 736*s[79] + 
       20*s[80] - 2130*s[82] - 24*s[83] + 138*s[84]) + 
     HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - w]*(s[2] - (1719*s[3])/4 - 
       (6943*s[4])/8 - (16506*s[5])/11 - (181825*s[6])/88 - 
       (30224939*s[7])/1584 + (4097389*s[8])/2376 + (1705429*s[9])/108 + 
       (589985*s[10])/108 + (30709675*s[11])/1584 + (1903214*s[12])/99 + 
       (16419665*s[13])/1584 + (5384659*s[14])/1584 + (4270345*s[15])/144 + 
       (26699329*s[16])/792 + (16441267*s[17])/528 + (712639*s[18])/162 + 
       (1689785*s[19])/648 + (278482073*s[20])/7128 + 
       (223182841*s[21])/14256 - (134180525*s[22])/14256 - 
       (19874909*s[23])/792 - (135363625*s[24])/7128 + 
       (191625637*s[25])/8019 - (469940173*s[26])/32076 - 24*s[30] - 
       20*s[31] + (3*s[32])/2 - (55*s[33])/2 + 55*s[34] + 34*s[35] + 
       (167*s[36])/2 - (349*s[37])/3 - 231*s[38] + (15881*s[39])/8 - 
       (13837*s[40])/8 + (10453*s[41])/8 - (24349*s[42])/8 - 
       (109959*s[43])/88 + (220641*s[44])/176 - (94423*s[45])/33 + 
       (4953911*s[46])/264 - (710551*s[47])/528 + (1035083*s[48])/528 + 
       (3173749*s[49])/528 - (634329*s[50])/44 - (334551*s[51])/176 - 
       (761627*s[52])/528 + (9747637*s[53])/792 - (59198*s[54])/33 + 
       (39266065*s[55])/528 + (29507197*s[56])/1584 - (2627057*s[57])/594 + 
       (369195647*s[58])/14256 - (407580197*s[59])/14256 - 
       (145511257*s[60])/1056 + (1287211193*s[61])/128304 + 24*s[62] + 
       4*s[64] + (23*s[65])/2 + 16*s[66] - 24*s[67] + 8*s[68] - 56*s[69] + 
       109*s[70] - 16*s[71] - 68*s[72] - 8*s[73] + (61*s[74])/2 - 46*s[75] + 
       53*s[76] - 91*s[77] - 100*s[78] + 556*s[79] - (539*s[80])/3 - 
       (2*s[81])/3 + 144*s[82] - 93*s[83] + 174*s[84]) + 
     HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - v]*(-61*s[2] - 62*s[3] - (1867*s[4])/4 - 
       (30615*s[5])/22 - (68547*s[6])/44 - (12188657*s[7])/792 + 
       (1654949*s[8])/1188 + (703121*s[9])/54 + (114356*s[10])/27 + 
       (12331799*s[11])/792 + (3051211*s[12])/198 + (2074735*s[13])/264 + 
       (3332939*s[14])/792 + (568661*s[15])/24 + (595043*s[16])/22 + 
       (19961677*s[17])/792 + (300320*s[18])/81 + (526987*s[19])/324 + 
       (29552878*s[20])/891 + (95804909*s[21])/7128 - (55214803*s[22])/7128 - 
       (541540*s[23])/33 - (27709699*s[24])/1782 + (295373219*s[25])/16038 - 
       (95146738*s[26])/8019 - s[28]/2 + 64*s[29] - 10*s[30] - s[31] + 
       5*s[32] - (105*s[33])/2 + 91*s[34] + 34*s[35] + (167*s[36])/2 - 
       (349*s[37])/3 - 231*s[38] + (15881*s[39])/8 - (13837*s[40])/8 + 
       (10453*s[41])/8 - (24349*s[42])/8 - (109959*s[43])/88 + 
       (220641*s[44])/176 - (94423*s[45])/33 + (4953911*s[46])/264 - 
       (710551*s[47])/528 + (1035083*s[48])/528 + (3173749*s[49])/528 - 
       (634329*s[50])/44 - (334551*s[51])/176 - (761627*s[52])/528 + 
       (9747637*s[53])/792 - (59198*s[54])/33 + (39266065*s[55])/528 + 
       (29507197*s[56])/1584 - (2627057*s[57])/594 + (369195647*s[58])/
        14256 - (407580197*s[59])/14256 - (145511257*s[60])/1056 + 
       (1287211193*s[61])/128304 + 24*s[62] + 4*s[64] + (23*s[65])/2 + 
       16*s[66] - 24*s[67] + 8*s[68] - 56*s[69] + 109*s[70] - 16*s[71] - 
       68*s[72] - 8*s[73] + (61*s[74])/2 - 46*s[75] + 53*s[76] - 91*s[77] - 
       100*s[78] + 556*s[79] - (539*s[80])/3 - (2*s[81])/3 + 144*s[82] - 
       93*s[83] + 174*s[84]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - w]*(-198*s[2] - (1749*s[3])/2 - 
       (40941*s[4])/4 - (95394*s[5])/11 - (235843*s[6])/11 - 
       (50799263*s[7])/264 + (4181303*s[8])/297 + (17524075*s[9])/108 + 
       (1523888*s[10])/27 + (41624471*s[11])/198 + (179044993*s[12])/792 + 
       (106308803*s[13])/792 + (26689145*s[14])/792 + (18761623*s[15])/72 + 
       (130974145*s[16])/396 + (26108926*s[17])/99 + (11197085*s[18])/324 + 
       (2611654*s[19])/81 + (1403768533*s[20])/3564 + 
       (1020081539*s[21])/7128 - (719842333*s[22])/7128 - 
       (150464497*s[23])/792 - (1556078473*s[24])/7128 + 
       (16898646749*s[25])/64152 - (9440407661*s[26])/64152 - 3*s[28] + 
       20*s[30] - 18*s[31] - 2*s[32] + (41*s[33])/2 - 80*s[34] + 86*s[35] + 
       359*s[36] - (334*s[37])/3 - 6036*s[38] + (95729*s[39])/4 - 
       (109269*s[40])/4 + (87249*s[41])/4 - (134373*s[42])/4 - 
       (1028947*s[43])/44 + (2159285*s[44])/88 - (1981769*s[45])/66 + 
       (28970593*s[46])/132 - (1334545*s[47])/264 - (2590855*s[48])/264 + 
       (29000431*s[49])/264 - (1893054*s[50])/11 - (6091075*s[51])/264 - 
       (4670159*s[52])/264 + (11764739*s[53])/99 + (341195*s[54])/66 + 
       (201522779*s[55])/264 + (154907519*s[56])/792 - (38147056*s[57])/297 + 
       (2306015941*s[58])/7128 - (2350322239*s[59])/7128 - 
       (2924734985*s[60])/1584 + (6327681373*s[61])/64152 + 2*s[64] + 
       3*s[65] - 4*s[66] + 24*s[68] - 32*s[69] - 90*s[70] + 9*s[71] - 
       36*s[72] - 6*s[73] + 82*s[74] - 82*s[75] + 60*s[76] + 128*s[77] - 
       46*s[78] - 2008*s[79] + (1624*s[80])/3 - 9072*s[82] - 36*s[83] - 
       1008*s[84] - 1944*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - v]*(-198*s[2] - 613*s[3] - 11197*s[4] - 
       (208317*s[5])/22 - (979459*s[6])/44 - (9040219*s[7])/44 + 
       (18265187*s[8])/1188 + (18767089*s[9])/108 + (1582049*s[10])/27 + 
       (178372955*s[11])/792 + (192875137*s[12])/792 + (14322139*s[13])/99 + 
       (3140983*s[14])/99 + (9972251*s[15])/36 + (139237567*s[16])/396 + 
       (219345209*s[17])/792 + (12026465*s[18])/324 + (10939273*s[19])/324 + 
       (743098595*s[20])/1782 + (135472396*s[21])/891 - 
       (385417355*s[22])/3564 - (169514005*s[23])/792 - 
       (1644214813*s[24])/7128 + (18177506747*s[25])/64152 - 
       (10113425027*s[26])/64152 + 14*s[30] - 36*s[31] + 4*s[32] + 43*s[33] - 
       8*s[34] + 86*s[35] + 359*s[36] - (334*s[37])/3 - 6036*s[38] + 
       (95729*s[39])/4 - (109269*s[40])/4 + (87249*s[41])/4 - 
       (134373*s[42])/4 - (1028947*s[43])/44 + (2159285*s[44])/88 - 
       (1981769*s[45])/66 + (28970593*s[46])/132 - (1334545*s[47])/264 - 
       (2590855*s[48])/264 + (29000431*s[49])/264 - (1893054*s[50])/11 - 
       (6091075*s[51])/264 - (4670159*s[52])/264 + (11764739*s[53])/99 + 
       (341195*s[54])/66 + (201522779*s[55])/264 + (154907519*s[56])/792 - 
       (38147056*s[57])/297 + (2306015941*s[58])/7128 - 
       (2350322239*s[59])/7128 - (2924734985*s[60])/1584 + 
       (6327681373*s[61])/64152 + 2*s[64] + 3*s[65] - 4*s[66] + 24*s[68] - 
       32*s[69] - 90*s[70] + 9*s[71] - 36*s[72] - 6*s[73] + 82*s[74] - 
       82*s[75] + 60*s[76] + 128*s[77] - 46*s[78] - 2008*s[79] + 
       (1624*s[80])/3 - 9072*s[82] - 36*s[83] - 1008*s[84] - 1944*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      ((7*s[2])/2 - (1205*s[3])/2 - (170493*s[4])/16 - (1189263*s[5])/176 - 
       (852887*s[6])/44 - (88427375*s[7])/528 + (32650445*s[8])/2376 + 
       (15234467*s[9])/108 + (18836575*s[10])/432 + (292549907*s[11])/1584 + 
       (322493173*s[12])/1584 + (48367799*s[13])/396 + 
       (34849745*s[14])/1584 + (31510075*s[15])/144 + (222643903*s[16])/792 + 
       (337878599*s[17])/1584 + (20348459*s[18])/648 + (15456049*s[19])/648 + 
       (2376546301*s[20])/7128 + (425623895*s[21])/3564 - 
       (1253401219*s[22])/14256 - (154141727*s[23])/792 - 
       (1300391639*s[24])/7128 + (30208546007*s[25])/128304 - 
       (16508867255*s[26])/128304 - (443*s[30])/4 + (121*s[31])/2 - 
       (191*s[32])/4 + (2485*s[33])/16 - (599*s[34])/4 + (755*s[35])/2 + 
       130*s[36] - (781*s[37])/6 - 6014*s[38] + (183547*s[39])/8 - 
       (211891*s[40])/8 + (169523*s[41])/8 - (259713*s[42])/8 - 
       (1922421*s[43])/88 + (495669*s[44])/22 - (7111033*s[45])/264 + 
       (6602174*s[46])/33 - (198878*s[47])/33 - (2098663*s[48])/264 + 
       (12865499*s[49])/132 - (1692720*s[50])/11 - (6182761*s[51])/264 - 
       (4897649*s[52])/264 + (83768087*s[53])/792 - (532555*s[54])/132 + 
       (89815645*s[55])/132 + (36387355*s[56])/198 - (360389215*s[57])/2376 + 
       (544831979*s[58])/1782 - (545685179*s[59])/1782 - 
       (292018863*s[60])/176 + (2894616133*s[61])/32076 + 2*s[64] - 
       15*s[65] - 40*s[66] + (99*s[67])/2 + 12*s[68] + 52*s[69] - 225*s[70] + 
       63*s[71] + 25*s[72] - 93*s[73] + 56*s[74] - (287*s[75])/4 - 
       (5*s[76])/2 + (513*s[77])/2 + 129*s[78] - 2732*s[79] + 
       (4255*s[80])/6 + s[81] - 4263*s[82] + 15*s[83] - 1227*s[84] - 
       1548*s[85]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      ((-503*s[2])/2 - (1113*s[3])/2 - (164313*s[4])/16 - 
       (1623287*s[5])/176 - (497043*s[6])/22 - (103043965*s[7])/528 + 
       (32656571*s[8])/2376 + (17877287*s[9])/108 + (23888143*s[10])/432 + 
       (337362209*s[11])/1584 + (363397501*s[12])/1584 + 
       (108669607*s[13])/792 + (56990957*s[14])/1584 + (37671937*s[15])/144 + 
       (262470379*s[16])/792 + (416022785*s[17])/1584 + 
       (23950913*s[18])/648 + (18643303*s[19])/648 + (1421192387*s[20])/
        3564 + (1045971001*s[21])/7128 - (1462840609*s[22])/14256 - 
       (39763961*s[23])/198 - (1546520765*s[24])/7128 + 
       (34123297631*s[25])/128304 - (19274213219*s[26])/128304 + 3*s[28] - 
       72*s[29] + (127*s[30])/4 - (203*s[31])/2 + (7*s[32])/4 + 
       (2041*s[33])/16 - (149*s[34])/4 + (755*s[35])/2 + 130*s[36] - 
       (781*s[37])/6 - 6014*s[38] + (183547*s[39])/8 - (211891*s[40])/8 + 
       (169523*s[41])/8 - (259713*s[42])/8 - (1922421*s[43])/88 + 
       (495669*s[44])/22 - (7111033*s[45])/264 + (6602174*s[46])/33 - 
       (198878*s[47])/33 - (2098663*s[48])/264 + (12865499*s[49])/132 - 
       (1692720*s[50])/11 - (6182761*s[51])/264 - (4897649*s[52])/264 + 
       (83768087*s[53])/792 - (532555*s[54])/132 + (89815645*s[55])/132 + 
       (36387355*s[56])/198 - (360389215*s[57])/2376 + 
       (544831979*s[58])/1782 - (545685179*s[59])/1782 - 
       (292018863*s[60])/176 + (2894616133*s[61])/32076 + 2*s[64] - 
       15*s[65] - 40*s[66] + (99*s[67])/2 + 12*s[68] + 52*s[69] - 225*s[70] + 
       63*s[71] + 25*s[72] - 93*s[73] + 56*s[74] - (287*s[75])/4 - 
       (5*s[76])/2 + (513*s[77])/2 + 129*s[78] - 2732*s[79] + 
       (4255*s[80])/6 + s[81] - 4263*s[82] + 15*s[83] - 1227*s[84] - 
       1548*s[85]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      (-154*s[2] - 651*s[3] - (43695*s[4])/4 - (17347*s[5])/2 - 
       (83147*s[6])/4 - (4516451*s[7])/24 + (136976*s[8])/9 + 
       (1427927*s[9])/9 + (1845637*s[10])/36 + (4961069*s[11])/24 + 
       (2702693*s[12])/12 + (1069543*s[13])/8 + (631223*s[14])/24 + 
       (6013813*s[15])/24 + (639091*s[16])/2 + (5954413*s[17])/24 + 
       (3804895*s[18])/108 + (3064979*s[19])/108 + (10210096*s[20])/27 + 
       (29577581*s[21])/216 - (21353167*s[22])/216 - (848255*s[23])/4 - 
       (11180425*s[24])/54 + (508678283*s[25])/1944 - 
       (279836021*s[26])/1944 - 29*s[30] - 34*s[31] - 10*s[32] + 
       (421*s[33])/4 - 11*s[34] + 238*s[35] + 524*s[36] - 530*s[37] - 
       6014*s[38] + (50121*s[39])/2 - (56225*s[40])/2 + (44279*s[41])/2 - 
       (71849*s[42])/2 - (43869*s[43])/2 + (95973*s[44])/4 - 27181*s[45] + 
       (417201*s[46])/2 - (91055*s[47])/12 - (58697*s[48])/12 + 
       (1241645*s[49])/12 - 161322*s[50] - (302141*s[51])/12 - 
       (231235*s[52])/12 + 111684*s[53] - 977*s[54] + (2832127*s[55])/4 + 
       (2254687*s[56])/12 - (1541173*s[57])/9 + (34652663*s[58])/108 - 
       (34901135*s[59])/108 - (123446387*s[60])/72 + (45234295*s[61])/486 - 
       60*s[70] - 30*s[71] - 68*s[72] - 20*s[73] + 125*s[74] - 125*s[75] + 
       68*s[76] + 78*s[77] - 52*s[78] - 1956*s[79] + 688*s[80] - 7548*s[82] - 
       75*s[83] - 1074*s[84] - 1440*s[85]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1, 1}, 1 - u]*(-165*s[2] - (3137*s[3])/8 - 
       (24615*s[4])/2 - (1459891*s[5])/176 - (3875361*s[6])/176 - 
       (632137547*s[7])/3168 + (25504343*s[8])/1584 + (12129395*s[9])/72 + 
       (7638143*s[10])/144 + (232571917*s[11])/1056 + (127546997*s[12])/528 + 
       (461603239*s[13])/3168 + (25597405*s[14])/1056 + 
       (75761393*s[15])/288 + (532326209*s[16])/1584 + 
       (811745153*s[17])/3168 + (7797527*s[18])/216 + (13059737*s[19])/432 + 
       (1882995041*s[20])/4752 + (151132505*s[21])/1056 - 
       (999697855*s[22])/9504 - (361379743*s[23])/1584 - 
       (1039427855*s[24])/4752 + (3997951091*s[25])/14256 - 
       (2186900981*s[26])/14256 - (107*s[30])/4 - (91*s[31])/2 + 
       (23*s[32])/2 + (357*s[33])/16 + (245*s[34])/4 + (459*s[35])/2 + 
       (1088*s[36])/3 - (1153*s[37])/3 - (14547*s[38])/2 + (224191*s[39])/8 - 
       (756541*s[40])/24 + (199533*s[41])/8 - (955793*s[42])/24 - 
       (6742763*s[43])/264 + (7037621*s[44])/264 - (3824413*s[45])/132 + 
       (59532271*s[46])/264 - (6538273*s[47])/792 - (571364*s[48])/99 + 
       (92268829*s[49])/792 - (5750650*s[50])/33 - (10987723*s[51])/396 - 
       (8690419*s[52])/396 + (11798536*s[53])/99 + (20473*s[54])/66 + 
       (33469423*s[55])/44 + (52502249*s[56])/264 - (51693739*s[57])/264 + 
       (831029483*s[58])/2376 - (420837577*s[59])/1188 - 
       (8858630305*s[60])/4752 + (4153331417*s[61])/42768 - 57*s[70] + 
       33*s[71] - 81*s[72] + 53*s[73] + (441*s[74])/4 - (537*s[75])/4 + 
       81*s[76] + (163*s[77])/2 - 65*s[78] - 2688*s[79] + (1618*s[80])/3 - 
       4551*s[82] - 21*s[83] - 1143*s[84] - 1344*s[85]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      (-140*s[2] - (3599*s[3])/8 - (98761*s[4])/8 - (1577633*s[5])/176 - 
       (3907005*s[6])/176 - (652990529*s[7])/3168 + (8448817*s[8])/528 + 
       (1047521*s[9])/6 + (2671531*s[10])/48 + (239685515*s[11])/1056 + 
       (43633789*s[12])/176 + (472309705*s[13])/3168 + 
       (28360199*s[14])/1056 + (78939455*s[15])/288 + 
       (551948159*s[16])/1584 + (849235403*s[17])/3168 + (999794*s[18])/27 + 
       (13859851*s[19])/432 + (1958205163*s[20])/4752 + 
       (1417782403*s[21])/9504 - (344644007*s[22])/3168 - 
       (364723705*s[23])/1584 - (360520091*s[24])/1584 + 
       (770142125*s[25])/2673 - (3384020473*s[26])/21384 - (139*s[30])/4 - 
       (71*s[31])/2 + (13*s[32])/2 - (135*s[33])/16 + (341*s[34])/4 + 
       (459*s[35])/2 + (1088*s[36])/3 - (1153*s[37])/3 - (14547*s[38])/2 + 
       (224191*s[39])/8 - (756541*s[40])/24 + (199533*s[41])/8 - 
       (955793*s[42])/24 - (6742763*s[43])/264 + (7037621*s[44])/264 - 
       (3824413*s[45])/132 + (59532271*s[46])/264 - (6538273*s[47])/792 - 
       (571364*s[48])/99 + (92268829*s[49])/792 - (5750650*s[50])/33 - 
       (10987723*s[51])/396 - (8690419*s[52])/396 + (11798536*s[53])/99 + 
       (20473*s[54])/66 + (33469423*s[55])/44 + (52502249*s[56])/264 - 
       (51693739*s[57])/264 + (831029483*s[58])/2376 - 
       (420837577*s[59])/1188 - (8858630305*s[60])/4752 + 
       (4153331417*s[61])/42768 - 57*s[70] + 33*s[71] - 81*s[72] + 53*s[73] + 
       (441*s[74])/4 - (537*s[75])/4 + 81*s[76] + (163*s[77])/2 - 65*s[78] - 
       2688*s[79] + (1618*s[80])/3 - 4551*s[82] - 21*s[83] - 1143*s[84] - 
       1344*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - v]*((-321*s[2])/2 - (4169*s[3])/12 - 
       (84767*s[4])/8 - (461699*s[5])/66 - (1704739*s[6])/88 - 
       (276914653*s[7])/1584 + (97741615*s[8])/7128 + (47876761*s[9])/324 + 
       (15337097*s[10])/324 + (918022099*s[11])/4752 + 
       (504178999*s[12])/2376 + (610780915*s[13])/4752 + 
       (105841177*s[14])/4752 + (99096185*s[15])/432 + 
       (350149333*s[16])/1188 + (1063333693*s[17])/4752 + 
       (30566357*s[18])/972 + (51991907*s[19])/1944 + 
       (7449496193*s[20])/21384 + (5344738831*s[21])/42768 - 
       (3951658775*s[22])/42768 - (467817013*s[23])/2376 - 
       (4137693919*s[24])/21384 + (23674078777*s[25])/96228 - 
       (12908879383*s[26])/96228 - 84*s[29] + (40*s[30])/3 - 82*s[31] + 
       (47*s[32])/3 + (695*s[33])/12 - (130*s[34])/3 + (79*s[35])/3 + 
       (980*s[36])/3 - (3400*s[37])/9 - (19564*s[38])/3 + (99377*s[39])/4 - 
       (342971*s[40])/12 + (269725*s[41])/12 - (424375*s[42])/12 - 
       (1014071*s[43])/44 + (3222361*s[44])/132 - (5225747*s[45])/198 + 
       (80699923*s[46])/396 - (74407*s[47])/11 - (950095*s[48])/132 + 
       (6937303*s[49])/66 - (10389553*s[50])/66 - (9758939*s[51])/396 - 
       (654530*s[52])/33 + (126436007*s[53])/1188 + (8045*s[54])/198 + 
       (270739171*s[55])/396 + (107682323*s[56])/594 - 
       (634875421*s[57])/3564 + (847652348*s[58])/2673 - 
       (3404897873*s[59])/10692 - (2017060567*s[60])/1188 + 
       (17023936909*s[61])/192456 - 33*s[62] - 12*s[65] - 24*s[66] + 
       30*s[67] - 12*s[68] + 60*s[69] - 192*s[70] + 31*s[71] - 10*s[72] + 
       52*s[73] + (427*s[74])/6 - (325*s[75])/6 + 70*s[76] + (583*s[77])/3 + 
       (68*s[78])/3 - (9340*s[79])/3 + (7336*s[80])/9 + s[81] - 4716*s[82] + 
       117*s[83] - 1374*s[84] - 1296*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*((-367*s[2])/2 - (1967*s[3])/12 - 
       (91743*s[4])/8 - (24470*s[5])/3 - (171433*s[6])/8 - 
       (27739889*s[7])/144 + (9767657*s[8])/648 + (13215625*s[9])/81 + 
       (16691795*s[10])/324 + (92024003*s[11])/432 + (50544737*s[12])/216 + 
       (60905975*s[13])/432 + (11277521*s[14])/432 + (109104347*s[15])/432 + 
       (8771423*s[16])/27 + (106748681*s[17])/432 + (16993399*s[18])/486 + 
       (56331293*s[19])/1944 + (749591713*s[20])/1944 + 
       (541044959*s[21])/3888 - (396132823*s[22])/3888 - 
       (46104665*s[23])/216 - (414145727*s[24])/1944 + 
       (4730000233*s[25])/17496 - (2596413397*s[26])/17496 + (7*s[30])/3 - 
       36*s[31] + (5*s[32])/3 + (199*s[33])/6 + (5*s[34])/3 + (79*s[35])/3 + 
       (980*s[36])/3 - (3400*s[37])/9 - (19564*s[38])/3 + (99377*s[39])/4 - 
       (342971*s[40])/12 + (269725*s[41])/12 - (424375*s[42])/12 - 
       (1014071*s[43])/44 + (3222361*s[44])/132 - (5225747*s[45])/198 + 
       (80699923*s[46])/396 - (74407*s[47])/11 - (950095*s[48])/132 + 
       (6937303*s[49])/66 - (10389553*s[50])/66 - (9758939*s[51])/396 - 
       (654530*s[52])/33 + (126436007*s[53])/1188 + (8045*s[54])/198 + 
       (270739171*s[55])/396 + (107682323*s[56])/594 - 
       (634875421*s[57])/3564 + (847652348*s[58])/2673 - 
       (3404897873*s[59])/10692 - (2017060567*s[60])/1188 + 
       (17023936909*s[61])/192456 - 33*s[62] - 12*s[65] - 24*s[66] + 
       30*s[67] - 12*s[68] + 60*s[69] - 192*s[70] + 31*s[71] - 10*s[72] + 
       52*s[73] + (427*s[74])/6 - (325*s[75])/6 + 70*s[76] + (583*s[77])/3 + 
       (68*s[78])/3 - (9340*s[79])/3 + (7336*s[80])/9 + s[81] - 4716*s[82] + 
       117*s[83] - 1374*s[84] - 1296*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - u]*(-116*s[2] - (2021*s[3])/6 - 10952*s[4] - 
       (261265*s[5])/33 - (2727155*s[6])/132 - (442565749*s[7])/2376 + 
       (50838971*s[8])/3564 + (25598051*s[9])/162 + (8170867*s[10])/162 + 
       (61121674*s[11])/297 + (535499185*s[12])/2376 + 
       (323477443*s[13])/2376 + (61428299*s[14])/2376 + 
       (52947437*s[15])/216 + (186629965*s[16])/594 + (95057405*s[17])/396 + 
       (16531513*s[18])/486 + (13725203*s[19])/486 + (3997190443*s[20])/
        10692 + (2902466201*s[21])/21384 - (2107103407*s[22])/21384 - 
       (486847991*s[23])/2376 - (4406255059*s[24])/21384 + 
       (12529266599*s[25])/48114 - (3454914043*s[26])/24057 - 10*s[28] - 
       24*s[29] + (13*s[30])/3 - 50*s[31] + (98*s[32])/3 + (145*s[33])/12 + 
       7*s[34] + 38*s[35] + (2638*s[36])/9 - 338*s[37] - (19942*s[38])/3 + 
       (73712*s[39])/3 - (254518*s[40])/9 + (66580*s[41])/3 - 
       (312773*s[42])/9 - (2307311*s[43])/99 + (4781167*s[44])/198 - 
       (905792*s[45])/33 + (20450159*s[46])/99 - (7678981*s[47])/1188 - 
       (9195925*s[48])/1188 + (125135005*s[49])/1188 - (31515211*s[50])/198 - 
       (29013179*s[51])/1188 - (11699365*s[52])/594 + (32040025*s[53])/297 + 
       (94130*s[54])/99 + (275600615*s[55])/396 + (218684359*s[56])/1188 - 
       (154567948*s[57])/891 + (3427054391*s[58])/10692 - 
       (3441717047*s[59])/10692 - (12271848535*s[60])/7128 + 
       (8660351027*s[61])/96228 + 48*s[63] - 20*s[65] - 48*s[66] + 48*s[67] - 
       24*s[68] + 96*s[69] - 344*s[70] + 42*s[71] - 12*s[72] - 48*s[73] + 
       (179*s[74])/3 - (203*s[75])/3 + 28*s[76] + (1114*s[77])/3 + 
       (116*s[78])/3 - (8608*s[79])/3 + (1984*s[80])/3 - 4688*s[82] + 
       90*s[83] - 1284*s[84] - 1296*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - u]*(-136*s[2] - (1871*s[3])/4 - 
       (41015*s[4])/4 - (636629*s[5])/88 - (1628149*s[6])/88 - 
       (88936297*s[7])/528 + (10771823*s[8])/792 + (1279151*s[9])/9 + 
       (3260915*s[10])/72 + (98076413*s[11])/528 + (53675771*s[12])/264 + 
       (64348705*s[13])/528 + (11050301*s[14])/528 + (10695155*s[15])/48 + 
       (75211157*s[16])/264 + (38445809*s[17])/176 + (3326941*s[18])/108 + 
       (5563147*s[19])/216 + (798117379*s[20])/2376 + 
       (576654185*s[21])/4752 - (421564123*s[22])/4752 - 
       (50775325*s[23])/264 - (439874747*s[24])/2376 + 
       (5049221029*s[25])/21384 - (2764187143*s[26])/21384 - (49*s[30])/2 - 
       29*s[31] + (551*s[33])/8 + (21*s[34])/2 + 211*s[35] + 393*s[36] - 
       (785*s[37])/2 - 5784*s[38] + (46659*s[39])/2 - (52493*s[40])/2 + 
       (41527*s[41])/2 - 33374*s[42] - (458607*s[43])/22 + 
       (1951599*s[44])/88 - (1053617*s[45])/44 + (8242825*s[46])/44 - 
       (1882069*s[47])/264 - (1080169*s[48])/264 + (25392571*s[49])/264 - 
       (3187471*s[50])/22 - (6118241*s[51])/264 - (4812635*s[52])/264 + 
       (3276353*s[53])/33 + (14237*s[54])/22 + (166367389*s[55])/264 + 
       (43574413*s[56])/264 - (65814917*s[57])/396 + (691837181*s[58])/2376 - 
       (698980391*s[59])/2376 - (2443845427*s[60])/1584 + 
       (1739842289*s[61])/21384 - 50*s[70] - 2*s[71] - 58*s[72] + 10*s[73] + 
       (183*s[74])/2 - (215*s[75])/2 + 58*s[76] + 63*s[77] - 42*s[78] - 
       2048*s[79] + 575*s[80] - 5052*s[82] - 15*s[83] - 1026*s[84] - 
       1284*s[85]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      (-32*s[2] - (1847*s[3])/2 - 14242*s[4] - (407487*s[5])/44 - 
       (519425*s[6])/22 - (176360267*s[7])/792 + (5605672*s[8])/297 + 
       (20135195*s[9])/108 + (6492277*s[10])/108 + (24276011*s[11])/99 + 
       (212809547*s[12])/792 + (126748241*s[13])/792 + (20084461*s[14])/792 + 
       (21389773*s[15])/72 + (150109141*s[16])/396 + (9638894*s[17])/33 + 
       (6338735*s[18])/162 + (11942537*s[19])/324 + (1577059823*s[20])/3564 + 
       (1122617635*s[21])/7128 - (832333589*s[22])/7128 - 
       (201108571*s[23])/792 - (1757312399*s[24])/7128 + 
       (20118292771*s[25])/64152 - (10873038613*s[26])/64152 + 6*s[28] + 
       132*s[29] - 55*s[30] + 86*s[31] - 2*s[32] - (357*s[33])/4 + 41*s[34] + 
       72*s[35] + (2417*s[36])/3 - (1141*s[37])/2 - 7748*s[38] + 
       (127177*s[39])/4 - (423527*s[40])/12 + (111521*s[41])/4 - 
       (545839*s[42])/12 - (3710629*s[43])/132 + (4001035*s[44])/132 - 
       (1417543*s[45])/44 + (16777229*s[46])/66 - (968261*s[47])/99 - 
       (1952873*s[48])/396 + (13181555*s[49])/99 - (13104035*s[50])/66 - 
       (12085927*s[51])/396 - (4735601*s[52])/198 + (13596635*s[53])/99 + 
       (280871*s[54])/66 + (114440753*s[55])/132 + (43460881*s[56])/198 - 
       (245867399*s[57])/1188 + (346056433*s[58])/891 - 
       (1418096521*s[59])/3564 - (4992193541*s[60])/2376 + 
       (6983354963*s[61])/64152 + 2*s[64] + 36*s[65] + 56*s[66] - 84*s[67] + 
       12*s[68] - 176*s[69] + 114*s[70] - 42*s[71] - 144*s[72] + 64*s[73] + 
       177*s[74] - 165*s[75] + 78*s[76] - 46*s[77] - 232*s[78] - 2228*s[79] + 
       575*s[80] - s[81] - 6108*s[82] - 39*s[83] - 990*s[84] - 1272*s[85]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - v]*(-273*s[2] - 38*s[3] - 
       (53769*s[4])/4 - (120459*s[5])/11 - (535111*s[6])/22 - 
       (185632409*s[7])/792 + (21834331*s[8])/1188 + (21437675*s[9])/108 + 
       (6971581*s[10])/108 + (25455893*s[11])/99 + (220882799*s[12])/792 + 
       (132025733*s[13])/792 + (23396407*s[14])/792 + (22747321*s[15])/72 + 
       (39473749*s[16])/99 + (41082617*s[17])/132 + (13469461*s[18])/324 + 
       (12335495*s[19])/324 + (835107679*s[20])/1782 + 
       (1217364199*s[21])/7128 - (881986049*s[22])/7128 - 
       (205413883*s[23])/792 - (1851347945*s[24])/7128 + 
       (10451591939*s[25])/32076 - (5754642095*s[26])/32076 + 127*s[30] - 
       110*s[31] + 84*s[32] - (57*s[33])/4 + 191*s[34] + 72*s[35] + 
       (2417*s[36])/3 - (1141*s[37])/2 - 7748*s[38] + (127177*s[39])/4 - 
       (423527*s[40])/12 + (111521*s[41])/4 - (545839*s[42])/12 - 
       (3710629*s[43])/132 + (4001035*s[44])/132 - (1417543*s[45])/44 + 
       (16777229*s[46])/66 - (968261*s[47])/99 - (1952873*s[48])/396 + 
       (13181555*s[49])/99 - (13104035*s[50])/66 - (12085927*s[51])/396 - 
       (4735601*s[52])/198 + (13596635*s[53])/99 + (280871*s[54])/66 + 
       (114440753*s[55])/132 + (43460881*s[56])/198 - 
       (245867399*s[57])/1188 + (346056433*s[58])/891 - 
       (1418096521*s[59])/3564 - (4992193541*s[60])/2376 + 
       (6983354963*s[61])/64152 + 2*s[64] + 36*s[65] + 56*s[66] - 84*s[67] + 
       12*s[68] - 176*s[69] + 114*s[70] - 42*s[71] - 144*s[72] + 64*s[73] + 
       177*s[74] - 165*s[75] + 78*s[76] - 46*s[77] - 232*s[78] - 2228*s[79] + 
       575*s[80] - s[81] - 6108*s[82] - 39*s[83] - 990*s[84] - 1272*s[85]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      (-62*s[2] - (371*s[3])/4 - (161831*s[4])/16 - (112361*s[5])/16 - 
       (134153*s[6])/8 - (2967841*s[7])/18 + (1409777*s[8])/108 + 
       (15031043*s[9])/108 + (19714387*s[10])/432 + (6516487*s[11])/36 + 
       (28354187*s[12])/144 + (17069537*s[13])/144 + (1369763*s[14])/72 + 
       (7971593*s[15])/36 + (20168713*s[16])/72 + (1740095*s[17])/8 + 
       (17949857*s[18])/648 + (9288941*s[19])/324 + (106006933*s[20])/324 + 
       (151181377*s[21])/1296 - (56325361*s[22])/648 - (13054241*s[23])/72 - 
       (119511793*s[24])/648 + (2697908467*s[25])/11664 - 
       (1456403467*s[26])/11664 + (425*s[30])/4 + s[31]/2 + (241*s[32])/4 + 
       (789*s[33])/16 - (103*s[34])/4 + (171*s[35])/2 + (2671*s[36])/6 - 
       (849*s[37])/4 - 5634*s[38] + 22123*s[39] - (149887*s[40])/6 + 
       20001*s[41] - (375367*s[42])/12 - (685642*s[43])/33 + 
       (11611993*s[44])/528 - (551671*s[45])/22 + (12543503*s[46])/66 - 
       (8335343*s[47])/1584 - (10070747*s[48])/1584 + 
       (154958885*s[49])/1584 - (4948033*s[50])/33 - (33732499*s[51])/1584 - 
       (26357245*s[52])/1584 + (81755209*s[53])/792 + (644965*s[54])/132 + 
       (348239363*s[55])/528 + (261447023*s[56])/1584 - 
       (294844255*s[57])/2376 + (4032818311*s[58])/14256 - 
       (4136047699*s[59])/14256 - (15151549619*s[60])/9504 + 
       (5258914697*s[61])/64152 + 9*s[62] + 2*s[64] + 8*s[66] - 
       (21*s[67])/2 + 60*s[68] - 56*s[69] + 108*s[70] + 9*s[71] - 45*s[72] + 
       25*s[73] + 111*s[74] - (435*s[75])/4 + (51*s[76])/2 - (179*s[77])/2 - 
       37*s[78] - 2096*s[79] + 447*s[80] - s[81] - 5091*s[82] - 21*s[83] - 
       1107*s[84] - 1164*s[85]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1, 1}, 1 - w]*(-90*s[2] - 292*s[3] - (156921*s[4])/16 - 
       (1426637*s[5])/176 - (1625739*s[6])/88 - (282514279*s[7])/1584 + 
       (15466435*s[8])/1188 + (32695621*s[9])/216 + (22266949*s[10])/432 + 
       (308301173*s[11])/1584 + (332035987*s[12])/1584 + 
       (49019251*s[13])/396 + (46282055*s[14])/1584 + (34976003*s[15])/144 + 
       (30230947*s[16])/99 + (127752365*s[17])/528 + (10335895*s[18])/324 + 
       (19135045*s[19])/648 + (650891161*s[20])/1782 + 
       (946946131*s[21])/7128 - (1342547431*s[22])/14256 - 
       (141949105*s[23])/792 - (715416157*s[24])/3564 + 
       (3913709383*s[25])/16038 - (1093675091*s[26])/8019 - 6*s[28] + 
       60*s[29] + (7*s[30])/4 + (53*s[31])/2 + (93*s[32])/4 - 
       (1407*s[33])/16 + (227*s[34])/4 + (171*s[35])/2 + (2671*s[36])/6 - 
       (849*s[37])/4 - 5634*s[38] + 22123*s[39] - (149887*s[40])/6 + 
       20001*s[41] - (375367*s[42])/12 - (685642*s[43])/33 + 
       (11611993*s[44])/528 - (551671*s[45])/22 + (12543503*s[46])/66 - 
       (8335343*s[47])/1584 - (10070747*s[48])/1584 + 
       (154958885*s[49])/1584 - (4948033*s[50])/33 - (33732499*s[51])/1584 - 
       (26357245*s[52])/1584 + (81755209*s[53])/792 + (644965*s[54])/132 + 
       (348239363*s[55])/528 + (261447023*s[56])/1584 - 
       (294844255*s[57])/2376 + (4032818311*s[58])/14256 - 
       (4136047699*s[59])/14256 - (15151549619*s[60])/9504 + 
       (5258914697*s[61])/64152 + 9*s[62] + 2*s[64] + 8*s[66] - 
       (21*s[67])/2 + 60*s[68] - 56*s[69] + 108*s[70] + 9*s[71] - 45*s[72] + 
       25*s[73] + 111*s[74] - (435*s[75])/4 + (51*s[76])/2 - (179*s[77])/2 - 
       37*s[78] - 2096*s[79] + 447*s[80] - s[81] - 5091*s[82] - 21*s[83] - 
       1107*s[84] - 1164*s[85]) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*((-157*s[2])/3 + (517*s[3])/6 - 
       (154697*s[4])/12 - (86849*s[5])/12 - (256085*s[6])/12 - 
       (42392645*s[7])/216 + (1734701*s[8])/108 + (4478528*s[9])/27 + 
       (5499265*s[10])/108 + (7859657*s[11])/36 + (17457223*s[12])/72 + 
       (31877929*s[13])/216 + (1505209*s[14])/72 + (54874039*s[15])/216 + 
       (35502311*s[16])/108 + (13172489*s[17])/54 + (10836065*s[18])/324 + 
       (9982189*s[19])/324 + (125246357*s[20])/324 + (9802867*s[21])/72 - 
       (67465897*s[22])/648 - (48340757*s[23])/216 - (141224995*s[24])/648 + 
       (272781035*s[25])/972 - (72946903*s[26])/486 - (50*s[30])/3 + 
       (64*s[31])/3 + (5*s[32])/3 + 62*s[33] - (224*s[34])/3 + 134*s[35] + 
       (3475*s[36])/9 - (10597*s[37])/18 - (22595*s[38])/3 + 
       (114235*s[39])/4 - (1185559*s[40])/36 + (311525*s[41])/12 - 
       (1467359*s[42])/36 - (10400633*s[43])/396 + (11080427*s[44])/396 - 
       (11104229*s[45])/396 + (44454689*s[46])/198 - (2361637*s[47])/297 - 
       (9120013*s[48])/1188 + (35433616*s[49])/297 - (34403161*s[50])/198 - 
       (33813443*s[51])/1188 - (13560721*s[52])/594 + (69086221*s[53])/594 - 
       (76315*s[54])/198 + (32820589*s[55])/44 + (12992893*s[56])/66 - 
       (251232499*s[57])/1188 + (628573145*s[58])/1782 - 
       (1262743843*s[59])/3564 - (13359678613*s[60])/7128 + 
       (2020183133*s[61])/21384 - 36*s[62] - 2*s[64] - 24*s[65] - 44*s[66] + 
       48*s[67] + 12*s[68] + 116*s[69] - 192*s[70] + 40*s[71] - 12*s[72] + 
       (164*s[73])/3 + 86*s[74] - 66*s[75] + 36*s[76] + (586*s[77])/3 + 
       (356*s[78])/3 - 4140*s[79] + (9917*s[80])/9 + s[81] - 4016*s[82] + 
       139*s[83] - 1614*s[84] - 1136*s[85]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - v]*(-174*s[2] - (109*s[3])/3 - 
       (38149*s[4])/3 - (272276*s[5])/33 - (2958001*s[6])/132 - 
       (492756109*s[7])/2376 + (4815235*s[8])/297 + (9502999*s[9])/54 + 
       (5996887*s[10])/108 + (90830851*s[11])/396 + (199899077*s[12])/792 + 
       (364126403*s[13])/2376 + (19872185*s[14])/792 + (58711219*s[15])/216 + 
       (206923997*s[16])/594 + (312075905*s[17])/1188 + (2986703*s[18])/81 + 
       (10207411*s[19])/324 + (734547107*s[20])/1782 + 
       (350977711*s[21])/2376 - (784386875*s[22])/7128 - 
       (559062067*s[23])/2376 - (1631458619*s[24])/7128 + 
       (2085290843*s[25])/7128 - (1134185975*s[26])/7128 - 120*s[29] + 
       (32*s[30])/3 - (316*s[31])/3 + 32*s[32] + 58*s[33] + (58*s[34])/3 + 
       134*s[35] + (3475*s[36])/9 - (10597*s[37])/18 - (22595*s[38])/3 + 
       (114235*s[39])/4 - (1185559*s[40])/36 + (311525*s[41])/12 - 
       (1467359*s[42])/36 - (10400633*s[43])/396 + (11080427*s[44])/396 - 
       (11104229*s[45])/396 + (44454689*s[46])/198 - (2361637*s[47])/297 - 
       (9120013*s[48])/1188 + (35433616*s[49])/297 - (34403161*s[50])/198 - 
       (33813443*s[51])/1188 - (13560721*s[52])/594 + (69086221*s[53])/594 - 
       (76315*s[54])/198 + (32820589*s[55])/44 + (12992893*s[56])/66 - 
       (251232499*s[57])/1188 + (628573145*s[58])/1782 - 
       (1262743843*s[59])/3564 - (13359678613*s[60])/7128 + 
       (2020183133*s[61])/21384 - 36*s[62] - 2*s[64] - 24*s[65] - 44*s[66] + 
       48*s[67] + 12*s[68] + 116*s[69] - 192*s[70] + 40*s[71] - 12*s[72] + 
       (164*s[73])/3 + 86*s[74] - 66*s[75] + 36*s[76] + (586*s[77])/3 + 
       (356*s[78])/3 - 4140*s[79] + (9917*s[80])/9 + s[81] - 4016*s[82] + 
       139*s[83] - 1614*s[84] - 1136*s[85]) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - v]*((-1243*s[2])/12 - (8987*s[3])/24 - 
       (572405*s[4])/48 - (976345*s[5])/132 - (10991935*s[6])/528 - 
       (1775906353*s[7])/9504 + (24575945*s[8])/1584 + (11332327*s[9])/72 + 
       (3514939*s[10])/72 + (655396333*s[11])/3168 + (30155519*s[12])/132 + 
       (1318107029*s[13])/9504 + (64989625*s[14])/3168 + 
       (210702403*s[15])/864 + (186397361*s[16])/594 + 
       (2247080653*s[17])/9504 + (21555161*s[18])/648 + 
       (36851465*s[19])/1296 + (5243648933*s[20])/14256 + 
       (3740807687*s[21])/28512 - (936206041*s[22])/9504 - 
       (521885905*s[23])/2376 - (243387007*s[24])/1188 + 
       (17019518471*s[25])/64152 - (9186486281*s[26])/64152 - 48*s[29] - 
       (139*s[30])/6 - (152*s[31])/3 + (29*s[32])/3 + 108*s[33] - 
       (367*s[34])/6 + (257*s[35])/2 + (7733*s[36])/18 - (9745*s[37])/18 - 
       (20321*s[38])/3 + (105637*s[39])/4 - (1086307*s[40])/36 + 
       (284405*s[41])/12 - (341012*s[42])/9 - (9447947*s[43])/396 + 
       (40226159*s[44])/1584 - (2614241*s[45])/99 + (82666795*s[46])/396 - 
       (38406589*s[47])/4752 - (26593777*s[48])/4752 + 
       (513931663*s[49])/4752 - (15894776*s[50])/99 - 
       (125603405*s[51])/4752 - (101054675*s[52])/4752 + 
       (258947431*s[53])/2376 - (1081865*s[54])/396 + (122398583*s[55])/176 + 
       (294119711*s[56])/1584 - (155567183*s[57])/792 + 
       (4678851269*s[58])/14256 - (4699399109*s[59])/14256 - 
       (49188629089*s[60])/28512 + (5770612637*s[61])/64152 - (53*s[62])/2 - 
       2*s[64] + 4*s[66] + s[67] - 36*s[68] - 4*s[69] - 194*s[70] + 
       (39*s[71])/2 - 49*s[72] + (191*s[73])/3 + (381*s[74])/4 - 
       (335*s[75])/4 + 54*s[76] + (1295*s[77])/6 - (43*s[78])/3 - 
       3192*s[79] + (8186*s[80])/9 + s[81] - 3614*s[82] + 70*s[83] - 
       1302*s[84] - 1112*s[85]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*((-767*s[2])/4 - (3707*s[3])/24 - 
       (546703*s[4])/48 - (1047791*s[5])/132 - (11115625*s[6])/528 - 
       (1794917881*s[7])/9504 + (71353525*s[8])/4752 + (17286623*s[9])/108 + 
       (10760309*s[10])/216 + (661035797*s[11])/3168 + (22722967*s[12])/99 + 
       (1313815949*s[13])/9504 + (79335053*s[14])/3168 + 
       (213669847*s[15])/864 + (754143389*s[16])/2376 + 
       (2287641865*s[17])/9504 + (11214695*s[18])/324 + 
       (35557933*s[19])/1296 + (5379095413*s[20])/14256 + 
       (431369819*s[21])/3168 - (2848392695*s[22])/28512 - 
       (63364460*s[23])/297 - (1476676613*s[24])/7128 + 
       (11337553309*s[25])/42768 - (6224152261*s[26])/42768 - (82*s[30])/3 - 
       (139*s[31])/3 + (7*s[32])/2 + (159*s[33])/8 + (142*s[34])/3 + 
       (257*s[35])/2 + (7733*s[36])/18 - (9745*s[37])/18 - (20321*s[38])/3 + 
       (105637*s[39])/4 - (1086307*s[40])/36 + (284405*s[41])/12 - 
       (341012*s[42])/9 - (9447947*s[43])/396 + (40226159*s[44])/1584 - 
       (2614241*s[45])/99 + (82666795*s[46])/396 - (38406589*s[47])/4752 - 
       (26593777*s[48])/4752 + (513931663*s[49])/4752 - (15894776*s[50])/99 - 
       (125603405*s[51])/4752 - (101054675*s[52])/4752 + 
       (258947431*s[53])/2376 - (1081865*s[54])/396 + (122398583*s[55])/176 + 
       (294119711*s[56])/1584 - (155567183*s[57])/792 + 
       (4678851269*s[58])/14256 - (4699399109*s[59])/14256 - 
       (49188629089*s[60])/28512 + (5770612637*s[61])/64152 - (53*s[62])/2 - 
       2*s[64] + 4*s[66] + s[67] - 36*s[68] - 4*s[69] - 194*s[70] + 
       (39*s[71])/2 - 49*s[72] + (191*s[73])/3 + (381*s[74])/4 - 
       (335*s[75])/4 + 54*s[76] + (1295*s[77])/6 - (43*s[78])/3 - 
       3192*s[79] + (8186*s[80])/9 + s[81] - 3614*s[82] + 70*s[83] - 
       1302*s[84] - 1112*s[85]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*((-284*s[2])/3 - (359*s[3])/3 - 
       (117877*s[4])/12 - (869729*s[5])/132 - (1170119*s[6])/66 - 
       (3505829*s[7])/22 + (15165785*s[8])/1188 + (7283057*s[9])/54 + 
       (2252929*s[10])/54 + (17441824*s[11])/99 + (77000351*s[12])/396 + 
       (46246549*s[13])/396 + (4135847*s[14])/198 + (7479755*s[15])/36 + 
       (105927373*s[16])/396 + (79950919*s[17])/396 + (9468035*s[18])/324 + 
       (1875244*s[19])/81 + (1133611471*s[20])/3564 + 
       (405924577*s[21])/3564 - (75028013*s[22])/891 - (71747849*s[23])/396 - 
       (311655703*s[24])/1782 + (14389346519*s[25])/64152 - 
       (7850674457*s[26])/64152 - (4*s[30])/3 + (16*s[31])/3 - (97*s[32])/3 + 
       (577*s[33])/6 - (148*s[34])/3 + (413*s[35])/3 + (1303*s[36])/6 - 
       (2429*s[37])/6 - (11579*s[38])/2 + (533503*s[39])/24 - 
       (612971*s[40])/24 + (484133*s[41])/24 - (763337*s[42])/24 - 
       (5295769*s[43])/264 + (11304827*s[44])/528 - (507993*s[45])/22 + 
       (47402315*s[46])/264 - (10683025*s[47])/1584 - (8606203*s[48])/1584 + 
       (144227515*s[49])/1584 - (4557758*s[50])/33 - (35882279*s[51])/1584 - 
       (28718609*s[52])/1584 + (8236577*s[53])/88 - (149253*s[54])/44 + 
       (949112335*s[55])/1584 + (255844937*s[56])/1584 - 
       (194907161*s[57])/1188 + (4011442447*s[58])/14256 - 
       (4004344129*s[59])/14256 - (14118817741*s[60])/9504 + 
       (10039205329*s[61])/128304 - 24*s[62] + 2*s[64] - 12*s[65] - 
       28*s[66] + 30*s[67] - 12*s[68] + 40*s[69] - 190*s[70] + (63*s[71])/2 + 
       (8*s[72])/3 + 12*s[73] + (479*s[74])/6 - (205*s[75])/3 + 
       (148*s[76])/3 + 186*s[77] + (208*s[78])/3 - 2864*s[79] + 762*s[80] + 
       s[81] - 3290*s[82] + 70*s[83] - 1262*s[84] - 1032*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      ((-533*s[2])/3 - (3659*s[3])/12 - (242987*s[4])/24 - 
       (898775*s[5])/132 - (4839587*s[6])/264 - (260468605*s[7])/1584 + 
       (10277987*s[8])/792 + (5002751*s[9])/36 + (1571623*s[10])/36 + 
       (95783675*s[11])/528 + (2193003*s[12])/11 + (191048459*s[13])/1584 + 
       (11245319*s[14])/528 + (31001347*s[15])/144 + (218705851*s[16])/792 + 
       (332235655*s[17])/1584 + (542257*s[18])/18 + (1736029*s[19])/72 + 
       (259046603*s[20])/792 + (557456725*s[21])/4752 - 
       (412582129*s[22])/4752 - (148921337*s[23])/792 - 
       (428190791*s[24])/2376 + (4941622013*s[25])/21384 - 
       (2691238505*s[26])/21384 - 60*s[29] + (8*s[30])/3 - (260*s[31])/3 + 
       (29*s[32])/3 + (170*s[33])/3 + (5*s[34])/3 + (413*s[35])/3 + 
       (1303*s[36])/6 - (2429*s[37])/6 - (11579*s[38])/2 + 
       (533503*s[39])/24 - (612971*s[40])/24 + (484133*s[41])/24 - 
       (763337*s[42])/24 - (5295769*s[43])/264 + (11304827*s[44])/528 - 
       (507993*s[45])/22 + (47402315*s[46])/264 - (10683025*s[47])/1584 - 
       (8606203*s[48])/1584 + (144227515*s[49])/1584 - (4557758*s[50])/33 - 
       (35882279*s[51])/1584 - (28718609*s[52])/1584 + (8236577*s[53])/88 - 
       (149253*s[54])/44 + (949112335*s[55])/1584 + (255844937*s[56])/1584 - 
       (194907161*s[57])/1188 + (4011442447*s[58])/14256 - 
       (4004344129*s[59])/14256 - (14118817741*s[60])/9504 + 
       (10039205329*s[61])/128304 - 24*s[62] + 2*s[64] - 12*s[65] - 
       28*s[66] + 30*s[67] - 12*s[68] + 40*s[69] - 190*s[70] + (63*s[71])/2 + 
       (8*s[72])/3 + 12*s[73] + (479*s[74])/6 - (205*s[75])/3 + 
       (148*s[76])/3 + 186*s[77] + (208*s[78])/3 - 2864*s[79] + 762*s[80] + 
       s[81] - 3290*s[82] + 70*s[83] - 1262*s[84] - 1032*s[85]) + 
     HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - u]*(-58*s[2] - 596*s[3] - 
       (62429*s[4])/4 - (450017*s[5])/44 - (591907*s[6])/22 - 
       (32062333*s[7])/132 + (3760033*s[8])/198 + (3698309*s[9])/18 + 
       (2196869*s[10])/36 + (35518381*s[11])/132 + (39331187*s[12])/132 + 
       (2006305*s[13])/11 + (3574429*s[14])/132 + (3787471*s[15])/12 + 
       (8865485*s[16])/22 + (39719561*s[17])/132 + (2415925*s[18])/54 + 
       (1885223*s[19])/54 + (283713065*s[20])/594 + (103183199*s[21])/594 - 
       (151918931*s[22])/1188 - (6292657*s[23])/22 - (156021721*s[24])/594 + 
       (3678721447*s[25])/10692 - (2019109837*s[26])/10692 + 3*s[30] + 
       6*s[31] - 17*s[32] + (95*s[33])/4 + 103*s[34] + 70*s[35] + 412*s[36] - 
       447*s[37] - 10536*s[38] + (71949*s[39])/2 - (80445*s[40])/2 + 
       (62661*s[41])/2 - (100439*s[42])/2 - (719179*s[43])/22 + 
       (718921*s[44])/22 - (768357*s[45])/22 + (2980402*s[46])/11 - 
       (808675*s[47])/66 - (184145*s[48])/33 + (9400465*s[49])/66 - 
       (2250478*s[50])/11 - (1156274*s[51])/33 - (1017403*s[52])/33 + 
       (3051517*s[53])/22 - (72383*s[54])/11 + (9830545*s[55])/11 + 
       (15621137*s[56])/66 - (54606857*s[57])/198 + (129035483*s[58])/297 - 
       (129540887*s[59])/297 - (439717121*s[60])/198 + 
       (611255503*s[61])/5346 - 76*s[70] + 144*s[71] + 12*s[72] + 8*s[73] + 
       101*s[74] - 125*s[75] - 12*s[76] + 70*s[77] + 12*s[78] - 3540*s[79] + 
       374*s[80] + 3288*s[82] + 111*s[83] - 1002*s[84] - 768*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((-227*s[2])/4 - (6391*s[3])/24 - (52047*s[4])/16 - (678791*s[5])/264 - 
       (1154453*s[6])/176 - (188140979*s[7])/3168 + (62675837*s[8])/14256 + 
       (32419289*s[9])/648 + (2817481*s[10])/162 + (617839073*s[11])/9504 + 
       (333161537*s[12])/4752 + (396345089*s[13])/9504 + 
       (94521407*s[14])/9504 + (69209671*s[15])/864 + 
       (242256383*s[16])/2376 + (768077831*s[17])/9504 + 
       (20487355*s[18])/1944 + (39234745*s[19])/3888 + 
       (5181354031*s[20])/42768 + (3738963341*s[21])/85536 - 
       (2667994393*s[22])/85536 - (280114553*s[23])/4752 - 
       (2886059579*s[24])/42768 + (15724485521*s[25])/192456 - 
       (8717532047*s[26])/192456 - s[28] + s[29] + (35*s[30])/6 - 3*s[31] - 
       s[32]/3 + (13*s[33])/6 - (167*s[34])/6 + (191*s[35])/6 + 
       (235*s[36])/2 - (1021*s[37])/36 - (5689*s[38])/3 + 7514*s[39] - 
       (17205*s[40])/2 + (41261*s[41])/6 - (42183*s[42])/4 - 
       (481627*s[43])/66 + (1362717*s[44])/176 - (7307873*s[45])/792 + 
       (53941835*s[46])/792 - (2495671*s[47])/1584 - (4895167*s[48])/1584 + 
       (54606481*s[49])/1584 - (3530951*s[50])/66 - (11551735*s[51])/1584 - 
       (8831375*s[52])/1584 + (43640615*s[53])/1188 + (699235*s[54])/396 + 
       (373528519*s[55])/1584 + (286554277*s[56])/4752 - 
       (293022101*s[57])/7128 + (4302052937*s[58])/42768 - 
       (4378293323*s[59])/42768 - (1818045563*s[60])/3168 + 
       (11692137143*s[61])/384912 + 2*s[64] + (3*s[65])/2 - 3*s[66] - 
       2*s[67] + 8*s[68] - 11*s[69] - 33*s[70] + (3*s[71])/2 - 9*s[72] + 
       9*s[73] + (353*s[74])/12 - (305*s[75])/12 + 15*s[76] + (299*s[77])/6 - 
       (19*s[78])/3 - (2056*s[79])/3 + (3545*s[80])/18 - 2790*s[82] - 
       (15*s[83])/2 - 327*s[84] - 612*s[85]) + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v]*((-243*s[2])/4 - 
       (3403*s[3])/24 - (56121*s[4])/16 - (191381*s[5])/66 - 
       (1211717*s[6])/176 - (202585795*s[7])/3168 + (68141309*s[8])/14256 + 
       (35095319*s[9])/648 + (11801845*s[10])/648 + (667301765*s[11])/9504 + 
       (361366751*s[12])/4752 + (430279409*s[13])/9504 + 
       (91904843*s[14])/9504 + (74237359*s[15])/864 + 
       (129840745*s[16])/1188 + (814843859*s[17])/9504 + 
       (22205665*s[18])/1944 + (41214073*s[19])/3888 + 
       (5541292807*s[20])/42768 + (4027385429*s[21])/85536 - 
       (2884336117*s[22])/85536 - (314958935*s[23])/4752 - 
       (3075660209*s[24])/42768 + (17021219225*s[25])/192456 - 
       (9431320145*s[26])/192456 + (13*s[30])/3 - 11*s[31] + (8*s[32])/3 + 
       (289*s[33])/24 - (4*s[34])/3 + (191*s[35])/6 + (235*s[36])/2 - 
       (1021*s[37])/36 - (5689*s[38])/3 + 7514*s[39] - (17205*s[40])/2 + 
       (41261*s[41])/6 - (42183*s[42])/4 - (481627*s[43])/66 + 
       (1362717*s[44])/176 - (7307873*s[45])/792 + (53941835*s[46])/792 - 
       (2495671*s[47])/1584 - (4895167*s[48])/1584 + (54606481*s[49])/1584 - 
       (3530951*s[50])/66 - (11551735*s[51])/1584 - (8831375*s[52])/1584 + 
       (43640615*s[53])/1188 + (699235*s[54])/396 + (373528519*s[55])/1584 + 
       (286554277*s[56])/4752 - (293022101*s[57])/7128 + 
       (4302052937*s[58])/42768 - (4378293323*s[59])/42768 - 
       (1818045563*s[60])/3168 + (11692137143*s[61])/384912 + 2*s[64] + 
       (3*s[65])/2 - 3*s[66] - 2*s[67] + 8*s[68] - 11*s[69] - 33*s[70] + 
       (3*s[71])/2 - 9*s[72] + 9*s[73] + (353*s[74])/12 - (305*s[75])/12 + 
       15*s[76] + (299*s[77])/6 - (19*s[78])/3 - (2056*s[79])/3 + 
       (3545*s[80])/18 - 2790*s[82] - (15*s[83])/2 - 327*s[84] - 612*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[u, w, v]*((-448*s[2])/9 - 
       (704*s[3])/3 + (224*s[4])/3 - (108128*s[5])/99 - (60884*s[6])/33 - 
       (521008*s[7])/33 + (409444*s[8])/891 + (1089764*s[9])/81 + 
       (563032*s[10])/81 + (4810898*s[11])/297 + (4542634*s[12])/297 + 
       (2417252*s[13])/297 + (2341532*s[14])/297 + 24672*s[15] + 
       (8841344*s[16])/297 + (8558738*s[17])/297 + (667360*s[18])/243 + 
       (921944*s[19])/243 + (101708000*s[20])/2673 + (38814752*s[21])/2673 - 
       (21657784*s[22])/2673 - (408190*s[23])/297 - (56190682*s[24])/2673 + 
       (435453026*s[25])/24057 - (286725542*s[26])/24057 - (32*s[32])/3 - 
       (352*s[33])/9 - (512*s[34])/9 - (640*s[35])/9 - (1408*s[36])/27 + 
       (5872*s[37])/27 + (64*s[38])/3 - (1840*s[39])/9 + (16*s[40])/27 + 
       (1136*s[41])/9 + (17600*s[42])/27 - (368992*s[43])/297 + 
       (301888*s[44])/297 - (975248*s[45])/297 + (1626320*s[46])/99 + 
       (1352068*s[47])/891 - (3079700*s[48])/891 + (5745896*s[49])/891 - 
       (4211608*s[50])/297 + (515384*s[51])/891 + (748208*s[52])/891 + 
       (340280*s[53])/33 + (281528*s[54])/99 + (7073372*s[55])/99 + 
       (14088592*s[56])/891 + (80009576*s[57])/2673 + 
       (108407912*s[58])/8019 - (123195992*s[59])/8019 - 
       (427402384*s[60])/2673 + (674986304*s[61])/72171 - (128*s[70])/3 - 
       (128*s[74])/9 + (128*s[75])/9 + (128*s[77])/3 + (1280*s[79])/9 - 
       (640*s[80])/27 - (9952*s[82])/3 - (1792*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      ((-119*s[2])/2 - (1873*s[3])/12 - 5083*s[4] - (120964*s[5])/33 - 
       (1258723*s[6])/132 - (409131895*s[7])/4752 + (2643425*s[8])/396 + 
       (1750805*s[9])/24 + (839393*s[10])/36 + (150493615*s[11])/1584 + 
       (4574205*s[12])/44 + (297853535*s[13])/4752 + (18765913*s[14])/1584 + 
       (49088203*s[15])/432 + (345485587*s[16])/2376 + 
       (529297753*s[17])/4752 + (10184443*s[18])/648 + (8458013*s[19])/648 + 
       (1230838409*s[20])/7128 + (892978775*s[21])/14256 - 
       (216223157*s[22])/4752 - (226560593*s[23])/2376 - 
       (25111277*s[24])/264 + (15436144817*s[25])/128304 - 
       (8508090797*s[26])/128304 - (7*s[28])/2 - 8*s[29] + s[30]/2 - 
       22*s[31] + (97*s[32])/6 + (29*s[33])/8 + (19*s[34])/6 + (49*s[35])/3 + 
       (1325*s[36])/9 - (1426*s[37])/9 - (9052*s[38])/3 + (34273*s[39])/3 - 
       (117866*s[40])/9 + 10298*s[41] - (292541*s[42])/18 - 
       (1061347*s[43])/99 + (8865245*s[44])/792 - (1244500*s[45])/99 + 
       (9453518*s[46])/99 - (7308991*s[47])/2376 - (7888207*s[48])/2376 + 
       (115620925*s[49])/2376 - (7296709*s[50])/99 - (26987795*s[51])/2376 - 
       (21611789*s[52])/2376 + (59557381*s[53])/1188 + (53923*s[54])/198 + 
       (255362497*s[55])/792 + (67412701*s[56])/792 - (95180551*s[57])/1188 + 
       (351522013*s[58])/2376 - (353808017*s[59])/2376 - 
       (11321997691*s[60])/14256 + (667781447*s[61])/16038 + 16*s[63] - 
       7*s[65] - 16*s[66] + 16*s[67] - 6*s[68] + 30*s[69] - (346*s[70])/3 + 
       16*s[71] - 18*s[72] - 6*s[73] + (65*s[74])/2 - (73*s[75])/2 + 
       20*s[76] + (385*s[77])/3 + 6*s[78] - 1300*s[79] + (2788*s[80])/9 - 
       2210*s[82] + 36*s[83] - 588*s[84] - 584*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((-263*s[2])/4 - (1493*s[3])/8 - (78623*s[4])/16 - (283253*s[5])/88 - 
       (1563439*s[6])/176 - (254234003*s[7])/3168 + (30239521*s[8])/4752 + 
       (7316255*s[9])/108 + (2339665*s[10])/108 + (280889977*s[11])/3168 + 
       (19285037*s[12])/198 + (186571283*s[13])/3168 + 
       (31725421*s[14])/3168 + (30376141*s[15])/288 + (107251667*s[16])/792 + 
       (108660029*s[17])/1056 + (2336015*s[18])/162 + (15997541*s[19])/1296 + 
       (2277508493*s[20])/14256 + (1633093135*s[21])/28512 - 
       (1208096063*s[22])/28512 - (72032281*s[23])/792 - 
       (316360681*s[24])/3564 + (14501067707*s[25])/128304 - 
       (7899529547*s[26])/128304 - 28*s[29] + (5*s[30])/2 - 28*s[31] + 
       8*s[32] + (45*s[33])/2 - (41*s[34])/2 + (23*s[35])/2 + (893*s[36])/6 - 
       (341*s[37])/2 - (5841*s[38])/2 + (45005*s[39])/4 - (154825*s[40])/12 + 
       10150*s[41] - (192653*s[42])/12 - (1368413*s[43])/132 + 
       (5816309*s[44])/528 - (522961*s[45])/44 + (3037643*s[46])/33 - 
       (4928305*s[47])/1584 - (4940053*s[48])/1584 + (75057523*s[49])/1584 - 
       (2345894*s[50])/33 - (17663909*s[51])/1584 - (14187713*s[52])/1584 + 
       (38160005*s[53])/792 - (9839*s[54])/66 + (163121623*s[55])/528 + 
       (129749137*s[56])/1584 - (191911853*s[57])/2376 + 
       (2042582891*s[58])/14256 - (2052321179*s[59])/14256 - 
       (7273788889*s[60])/9504 + (2564171287*s[61])/64152 - 11*s[62] - 
       4*s[65] - 8*s[66] + 10*s[67] - 3*s[68] + 19*s[69] - 64*s[70] + 
       (25*s[71])/2 - 11*s[72] + 21*s[73] + (143*s[74])/4 - (115*s[75])/4 + 
       31*s[76] + (129*s[77])/2 + 5*s[78] - 1364*s[79] + 358*s[80] + 
       s[81]/3 - 2176*s[82] + 45*s[83] - 618*s[84] - 572*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      ((-351*s[2])/4 - (513*s[3])/8 - (81009*s[4])/16 - (322581*s[5])/88 - 
       (1679421*s[6])/176 - (90467341*s[7])/1056 + (3535759*s[8])/528 + 
       (1741657*s[9])/24 + (275161*s[10])/12 + (33318137*s[11])/352 + 
       (9141553*s[12])/88 + (66048101*s[13])/1056 + (4140277*s[14])/352 + 
       (10787783*s[15])/96 + (9534779*s[16])/66 + (116231521*s[17])/1056 + 
       (1127527*s[18])/72 + (1835269*s[19])/144 + (271777081*s[20])/1584 + 
       (21838791*s[21])/352 - (143527991*s[22])/3168 - (25143277*s[23])/264 - 
       (37426687*s[24])/396 + (71295139*s[25])/594 - (39202291*s[26])/594 + 
       3*s[30] - 19*s[31] + 6*s[32] + (135*s[33])/8 + 4*s[34] + 
       (23*s[35])/2 + (893*s[36])/6 - (341*s[37])/2 - (5841*s[38])/2 + 
       (45005*s[39])/4 - (154825*s[40])/12 + 10150*s[41] - 
       (192653*s[42])/12 - (1368413*s[43])/132 + (5816309*s[44])/528 - 
       (522961*s[45])/44 + (3037643*s[46])/33 - (4928305*s[47])/1584 - 
       (4940053*s[48])/1584 + (75057523*s[49])/1584 - (2345894*s[50])/33 - 
       (17663909*s[51])/1584 - (14187713*s[52])/1584 + (38160005*s[53])/792 - 
       (9839*s[54])/66 + (163121623*s[55])/528 + (129749137*s[56])/1584 - 
       (191911853*s[57])/2376 + (2042582891*s[58])/14256 - 
       (2052321179*s[59])/14256 - (7273788889*s[60])/9504 + 
       (2564171287*s[61])/64152 - 11*s[62] - 4*s[65] - 8*s[66] + 10*s[67] - 
       3*s[68] + 19*s[69] - 64*s[70] + (25*s[71])/2 - 11*s[72] + 21*s[73] + 
       (143*s[74])/4 - (115*s[75])/4 + 31*s[76] + (129*s[77])/2 + 5*s[78] - 
       1364*s[79] + 358*s[80] + s[81]/3 - 2176*s[82] + 45*s[83] - 618*s[84] - 
       572*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[v, u, w]*
      ((-128*s[2])/3 - (560*s[3])/3 - (104*s[4])/3 - (12000*s[5])/11 - 
       (19496*s[6])/11 - (4785844*s[7])/297 + (509144*s[8])/891 + 
       (1114072*s[9])/81 + (549848*s[10])/81 + (4914532*s[11])/297 + 
       (4702052*s[12])/297 + (93636*s[13])/11 + (2192008*s[14])/297 + 
       (75148*s[15])/3 + (2967424*s[16])/99 + (8491064*s[17])/297 + 
       (671372*s[18])/243 + (911428*s[19])/243 + (101986084*s[20])/2673 + 
       (38683504*s[21])/2673 - (22176512*s[22])/2673 - (33180*s[23])/11 - 
       (56116568*s[24])/2673 + (451451608*s[25])/24057 - 
       (291321664*s[26])/24057 - (32*s[32])/3 - 32*s[33] - (128*s[34])/3 - 
       (128*s[35])/3 - (320*s[36])/9 + (1520*s[37])/9 - (128*s[38])/3 + 
       48*s[39] - (2224*s[40])/9 + (944*s[41])/3 + (2272*s[42])/9 - 
       (125984*s[43])/99 + (108488*s[44])/99 - (318784*s[45])/99 + 
       (555136*s[46])/33 + (371480*s[47])/297 - (880936*s[48])/297 + 
       (1956364*s[49])/297 - (1429760*s[50])/99 + (87292*s[51])/297 + 
       (161176*s[52])/297 + (346120*s[53])/33 + (25528*s[54])/11 + 
       (7163224*s[55])/99 + (4781036*s[56])/297 + (23986168*s[57])/891 + 
       (39979468*s[58])/2673 - (44838964*s[59])/2673 - 
       (143405078*s[60])/891 + (223086280*s[61])/24057 - (128*s[70])/3 - 
       (32*s[74])/3 + (32*s[75])/3 + (128*s[77])/3 + (256*s[79])/3 - 
       (128*s[80])/9 - 2944*s[82] - 512*s[85]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 0, 1, 1}, 1 - v]*((49*s[2])/12 - (3505*s[3])/24 - 
       (10015*s[4])/3 - (1060163*s[5])/528 - (3158377*s[6])/528 - 
       (164194037*s[7])/3168 + (20229325*s[8])/4752 + (2360503*s[9])/54 + 
       (5814361*s[10])/432 + (181567267*s[11])/3168 + 
       (100378159*s[12])/1584 + (120826619*s[13])/3168 + 
       (20824543*s[14])/3168 + (19392175*s[15])/288 + (68788685*s[16])/792 + 
       (23024933*s[17])/352 + (3100909*s[18])/324 + (9687011*s[19])/1296 + 
       (1467446249*s[20])/14256 + (1045454695*s[21])/28512 - 
       (777558977*s[22])/28512 - (23749997*s[23])/396 - 
       (100935485*s[24])/1782 + (9392217815*s[25])/128304 - 
       (5104457777*s[26])/128304 - (433*s[30])/12 + (125*s[31])/6 - 
       (175*s[32])/12 + (2213*s[33])/48 - (613*s[34])/12 + (356*s[35])/3 + 
       (241*s[36])/6 - (277*s[37])/12 - 1899*s[38] + (172897*s[39])/24 - 
       (200741*s[40])/24 + (160805*s[41])/24 - (244421*s[42])/24 - 
       (1814863*s[43])/264 + (3772775*s[44])/528 - (364577*s[45])/44 + 
       (16420859*s[46])/264 - (2901229*s[47])/1584 - (4153183*s[48])/1584 + 
       (48728155*s[49])/1584 - (6328031*s[50])/132 - (11711495*s[51])/1584 - 
       (9248477*s[52])/1584 + (8629645*s[53])/264 - (11829*s[54])/11 + 
       (333247261*s[55])/1584 + (89942585*s[56])/1584 - 
       (57539183*s[57])/1188 + (1358464537*s[58])/14256 - 
       (1358426503*s[59])/14256 - (4918440841*s[60])/9504 + 
       (3571026799*s[61])/128304 + 2*s[64] - (9*s[65])/2 - 15*s[66] + 
       (29*s[67])/2 + 4*s[68] + 17*s[69] - 78*s[70] + (39*s[71])/2 + 
       (32*s[72])/3 - 20*s[73] + (223*s[74])/12 - (119*s[75])/6 - 
       (31*s[76])/6 + 93*s[77] + (154*s[78])/3 - 934*s[79] + 256*s[80] + 
       s[81]/3 - 1322*s[82] + 10*s[83] - 389*s[84] - 504*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((-923*s[2])/12 - (4033*s[3])/24 - (78701*s[4])/24 - 
       (1457609*s[5])/528 - (3701185*s[6])/528 - (64215031*s[7])/1056 + 
       (20467789*s[8])/4752 + (5566169*s[9])/108 + (7442947*s[10])/432 + 
       (210694807*s[11])/3168 + (113787997*s[12])/1584 + 
       (136510651*s[13])/3168 + (34280527*s[14])/3168 + 
       (23378231*s[15])/288 + (20424601*s[16])/198 + (257439865*s[17])/3168 + 
       (3683005*s[18])/324 + (11816219*s[19])/1296 + (1765708163*s[20])/
        14256 + (1291892215*s[21])/28512 - (912492773*s[22])/28512 - 
       (12408359*s[23])/198 - (483294641*s[24])/7128 + 
       (10684108571*s[25])/128304 - (5995066541*s[26])/128304 + s[28] - 
       23*s[29] + (131*s[30])/12 - (187*s[31])/6 + (11*s[32])/12 + 
       (1655*s[33])/48 - (193*s[34])/12 + (356*s[35])/3 + (241*s[36])/6 - 
       (277*s[37])/12 - 1899*s[38] + (172897*s[39])/24 - (200741*s[40])/24 + 
       (160805*s[41])/24 - (244421*s[42])/24 - (1814863*s[43])/264 + 
       (3772775*s[44])/528 - (364577*s[45])/44 + (16420859*s[46])/264 - 
       (2901229*s[47])/1584 - (4153183*s[48])/1584 + (48728155*s[49])/1584 - 
       (6328031*s[50])/132 - (11711495*s[51])/1584 - (9248477*s[52])/1584 + 
       (8629645*s[53])/264 - (11829*s[54])/11 + (333247261*s[55])/1584 + 
       (89942585*s[56])/1584 - (57539183*s[57])/1188 + 
       (1358464537*s[58])/14256 - (1358426503*s[59])/14256 - 
       (4918440841*s[60])/9504 + (3571026799*s[61])/128304 + 2*s[64] - 
       (9*s[65])/2 - 15*s[66] + (29*s[67])/2 + 4*s[68] + 17*s[69] - 
       78*s[70] + (39*s[71])/2 + (32*s[72])/3 - 20*s[73] + (223*s[74])/12 - 
       (119*s[75])/6 - (31*s[76])/6 + 93*s[77] + (154*s[78])/3 - 934*s[79] + 
       256*s[80] + s[81]/3 - 1322*s[82] + 10*s[83] - 389*s[84] - 504*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      (-61*s[2] - (6821*s[3])/72 - (193253*s[4])/48 - (292865*s[5])/99 - 
       (3919165*s[6])/528 - (26841703*s[7])/396 + (57614413*s[8])/10692 + 
       (223135199*s[9])/3888 + (70598395*s[10])/3888 + 
       (1062462635*s[11])/14256 + (72586777*s[12])/891 + 
       (695952737*s[13])/14256 + (64215277*s[14])/7128 + 
       (58205375*s[15])/648 + (1630969823*s[16])/14256 + 
       (1253741927*s[17])/14256 + (72786929*s[18])/5832 + 
       (58659643*s[19])/5832 + (17387797409*s[20])/128304 + 
       (786457051*s[21])/16038 - (4585580671*s[22])/128304 - 
       (1096049995*s[23])/14256 - (2380939441*s[24])/32076 + 
       (109244753195*s[25])/1154736 - (3755336843*s[26])/72171 - 
       (34*s[30])/9 - 20*s[31] + (89*s[32])/18 + (77*s[33])/72 + 
       (425*s[34])/18 + (209*s[35])/9 + 127*s[36] - (2939*s[37])/27 - 
       (21329*s[38])/9 + (28210*s[39])/3 - (31957*s[40])/3 + 
       (76100*s[41])/9 - (40379*s[42])/3 - (854038*s[43])/99 + 
       (2415271*s[44])/264 - (3022358*s[45])/297 + (23228135*s[46])/297 - 
       (6262867*s[47])/2376 - (5362495*s[48])/2376 + (94316977*s[49])/2376 - 
       (6007910*s[50])/99 - (22152055*s[51])/2376 - (17393693*s[52])/2376 + 
       (148969027*s[53])/3564 - (81601*s[54])/297 + (633621871*s[55])/2376 + 
       (495932497*s[56])/7128 - (163479122*s[57])/2673 + 
       (7651432829*s[58])/64152 - (7763788199*s[59])/64152 - 
       (3079689757*s[60])/4752 + (19742794691*s[61])/577368 - s[65]/6 + 
       (25*s[68])/3 - (19*s[69])/3 - (32*s[70])/3 + (19*s[71])/2 - 36*s[72] + 
       (40*s[73])/3 + (376*s[74])/9 - (358*s[75])/9 + (97*s[76])/3 + 
       (221*s[77])/9 - (212*s[78])/9 - (8540*s[79])/9 + (5816*s[80])/27 - 
       (5048*s[82])/3 + (11*s[83])/4 - (865*s[84])/2 - (1444*s[85])/3) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((-131*s[2])/3 - (3695*s[3])/12 - (19456*s[4])/3 - (151775*s[5])/33 - 
       (1535593*s[6])/132 - (6899269*s[7])/66 + (19632263*s[8])/2376 + 
       (9535751*s[9])/108 + (5812499*s[10])/216 + (91395451*s[11])/792 + 
       (100609187*s[12])/792 + (30465095*s[13])/396 + (5049641*s[14])/396 + 
       (9865559*s[15])/72 + (138357313*s[16])/792 + (13103141*s[17])/99 + 
       (12635111*s[18])/648 + (4887191*s[19])/324 + (1475872891*s[20])/7128 + 
       (67101647*s[21])/891 - (391641101*s[22])/7128 - (24126977*s[23])/198 - 
       (808297499*s[24])/7128 + (18862475879*s[25])/128304 - 
       (10375868621*s[26])/128304 - (41*s[30])/6 - (17*s[31])/3 - 
       (25*s[32])/3 + (745*s[33])/24 + (205*s[34])/6 + (227*s[35])/3 + 
       (691*s[36])/3 - (650*s[37])/3 - 4150*s[38] + (44930*s[39])/3 - 
       16703*s[40] + (39166*s[41])/3 - (126445*s[42])/6 - (147108*s[43])/11 + 
       (302461*s[44])/22 - (497458*s[45])/33 + (1279846*s[46])/11 - 
       (164323*s[47])/33 - (25749*s[48])/11 + (1969598*s[49])/33 - 
       (971838*s[50])/11 - (162099*s[51])/11 - (274565*s[52])/22 + 
       (23965969*s[53])/396 - (84412*s[54])/33 + (76707437*s[55])/198 + 
       (10203782*s[56])/99 - (65987341*s[57])/594 + (656425027*s[58])/3564 - 
       (164876479*s[59])/891 - (125678573*s[60])/132 + 
       (3220635947*s[61])/64152 - 30*s[70] + 37*s[71] - (34*s[72])/3 - 
       10*s[73] + (347*s[74])/6 - (371*s[75])/6 + (34*s[76])/3 + 33*s[77] - 
       (26*s[78])/3 - 1300*s[79] + (574*s[80])/3 - 278*s[82] + 4*s[83] - 
       482*s[84] - 480*s[85]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 
       1 - w]*((-143*s[2])/4 + (339*s[3])/8 - (94901*s[4])/16 - 
       (38495*s[5])/11 - (1750299*s[6])/176 - (289571683*s[7])/3168 + 
       (35488781*s[8])/4752 + (4173539*s[9])/54 + (5114059*s[10])/216 + 
       (321729653*s[11])/3168 + (89169703*s[12])/792 + 
       (216841555*s[13])/3168 + (31445369*s[14])/3168 + 
       (34144205*s[15])/288 + (60638615*s[16])/396 + (40147691*s[17])/352 + 
       (2560267*s[18])/162 + (18305377*s[19])/1296 + (2568211417*s[20])/
        14256 + (1818896039*s[21])/28512 - (1381930771*s[22])/28512 - 
       (20797631*s[23])/198 - (720034261*s[24])/7128 + 
       (16724256013*s[25])/128304 - (8978332645*s[26])/128304 - 8*s[30] + 
       s[31] + 6*s[32] + (217*s[33])/8 - 16*s[34] + (135*s[35])/2 + 
       (584*s[36])/3 - (1165*s[37])/4 - (6975*s[38])/2 + (106945*s[39])/8 - 
       (367675*s[40])/24 + (96431*s[41])/8 - (458891*s[42])/24 - 
       (3207989*s[43])/264 + (3427283*s[44])/264 - (1140511*s[45])/88 + 
       (13754383*s[46])/132 - (1528595*s[47])/396 - (2544535*s[48])/792 + 
       (21901325*s[49])/396 - (2656039*s[50])/33 - (10512287*s[51])/792 - 
       (4221451*s[52])/396 + (42854233*s[53])/792 - (14528*s[54])/33 + 
       (91348969*s[55])/264 + (9045881*s[56])/99 - (237258781*s[57])/2376 + 
       (1169796863*s[58])/7128 - (1176311783*s[59])/7128 - 
       (4117168321*s[60])/4752 + (2811879209*s[61])/64152 - 12*s[62] - 
       2*s[64] - 8*s[65] - 12*s[66] + 16*s[67] + 5*s[68] + 35*s[69] - 
       63*s[70] + (31*s[71])/2 - 15*s[72] + 27*s[73] + (183*s[74])/4 - 
       (151*s[75])/4 + 23*s[76] + (131*s[77])/2 + 23*s[78] - 1824*s[79] + 
       (961*s[80])/2 + s[81]/3 - 1786*s[82] + 51*s[83] - 726*s[84] - 
       476*s[85]) + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((-299*s[2])/4 - (351*s[3])/8 - (95577*s[4])/16 - (334603*s[5])/88 - 
       (1824365*s[6])/176 - (101152967*s[7])/1056 + (12082621*s[8])/1584 + 
       (2920649*s[9])/36 + (915007*s[10])/36 + (111920197*s[11])/1056 + 
       (30828767*s[12])/264 + (74796515*s[13])/1056 + (11693413*s[14])/1056 + 
       (12049657*s[15])/96 + (10617815*s[16])/66 + (42633353*s[17])/352 + 
       (919283*s[18])/54 + (6283781*s[19])/432 + (902171489*s[20])/4752 + 
       (645852271*s[21])/9504 - (482466935*s[22])/9504 - 
       (29088637*s[23])/264 - (62624621*s[24])/594 + (5792282753*s[25])/
        42768 - (3143276105*s[26])/42768 - 40*s[29] - s[30]/2 - 40*s[31] + 
       (33*s[32])/2 + (77*s[33])/4 + (27*s[34])/2 + (135*s[35])/2 + 
       (584*s[36])/3 - (1165*s[37])/4 - (6975*s[38])/2 + (106945*s[39])/8 - 
       (367675*s[40])/24 + (96431*s[41])/8 - (458891*s[42])/24 - 
       (3207989*s[43])/264 + (3427283*s[44])/264 - (1140511*s[45])/88 + 
       (13754383*s[46])/132 - (1528595*s[47])/396 - (2544535*s[48])/792 + 
       (21901325*s[49])/396 - (2656039*s[50])/33 - (10512287*s[51])/792 - 
       (4221451*s[52])/396 + (42854233*s[53])/792 - (14528*s[54])/33 + 
       (91348969*s[55])/264 + (9045881*s[56])/99 - (237258781*s[57])/2376 + 
       (1169796863*s[58])/7128 - (1176311783*s[59])/7128 - 
       (4117168321*s[60])/4752 + (2811879209*s[61])/64152 - 12*s[62] - 
       2*s[64] - 8*s[65] - 12*s[66] + 16*s[67] + 5*s[68] + 35*s[69] - 
       63*s[70] + (31*s[71])/2 - 15*s[72] + 27*s[73] + (183*s[74])/4 - 
       (151*s[75])/4 + 23*s[76] + (131*s[77])/2 + 23*s[78] - 1824*s[79] + 
       (961*s[80])/2 + s[81]/3 - 1786*s[82] + 51*s[83] - 726*s[84] - 
       476*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v]*((-133*s[2])/4 - (971*s[3])/8 - 
       (33809*s[4])/16 - (157371*s[5])/88 - (745969*s[6])/176 - 
       (41405741*s[7])/1056 + (491133*s[8])/176 + (265443*s[9])/8 + 
       (45735*s[10])/4 + (15134641*s[11])/352 + (4088477*s[12])/88 + 
       (29230093*s[13])/1056 + (2238117*s[14])/352 + (1686053*s[15])/32 + 
       (8858441*s[16])/132 + (55786457*s[17])/1056 + (259733*s[18])/36 + 
       (922537*s[19])/144 + (126675721*s[20])/1584 + (93330559*s[21])/3168 - 
       (21814037*s[22])/1056 - (2647817*s[23])/66 - (1454419*s[24])/33 + 
       (95872339*s[25])/1782 - (53908867*s[26])/1782 + (9*s[30])/2 + s[31] - 
       (17*s[32])/4 + (169*s[33])/8 - (15*s[34])/2 + 33*s[35] + 
       (361*s[36])/4 - (47*s[37])/8 - (5177*s[38])/4 + (79391*s[39])/16 - 
       (90779*s[40])/16 + (73925*s[41])/16 - (109677*s[42])/16 - 
       (872865*s[43])/176 + (1830833*s[44])/352 - (1095935*s[45])/176 + 
       (2015175*s[46])/44 - (880987*s[47])/1056 - (2708725*s[48])/1056 + 
       (24835681*s[49])/1056 - (3172987*s[50])/88 - (4908529*s[51])/1056 - 
       (3807167*s[52])/1056 + (6492257*s[53])/264 + (154397*s[54])/88 + 
       (167853745*s[55])/1056 + (14217757*s[56])/352 - (847894*s[57])/33 + 
       (71063483*s[58])/1056 - (24155073*s[59])/352 - 
       (2458465057*s[60])/6336 + (291961555*s[61])/14256 + 2*s[64] + 
       (3*s[65])/4 + 5*s[66] - 9*s[67] + 9*s[68] - 26*s[69] - 29*s[70] + 
       (21*s[71])/4 + s[72] - 5*s[73] + 18*s[74] - (41*s[75])/2 - 
       (17*s[76])/2 + (99*s[77])/2 + 2*s[78] - 390*s[79] + (349*s[80])/4 - 
       2040*s[82] + (3*s[83])/2 - 231*s[84] - 468*s[85]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((-303*s[2])/8 - (2825*s[3])/16 - (176863*s[4])/32 - 
       (595347*s[5])/176 - (3332883*s[6])/352 - (60249179*s[7])/704 + 
       (2510359*s[8])/352 + (288307*s[9])/4 + 22289*s[10] + 
       (66666737*s[11])/704 + (9200547*s[12])/88 + (44657819*s[13])/704 + 
       (6462645*s[14])/704 + (7164509*s[15])/64 + (25301337*s[16])/176 + 
       (76296631*s[17])/704 + (363749*s[18])/24 + (1258519*s[19])/96 + 
       (177736675*s[20])/1056 + (42203055*s[21])/704 - 
       (95275645*s[22])/2112 - (17762747*s[23])/176 - (24762899*s[24])/264 + 
       (1155483283*s[25])/9504 - (622773931*s[26])/9504 - s[28]/4 - 
       16*s[29] - (55*s[30])/4 - (33*s[31])/2 + (13*s[32])/2 + 38*s[33] - 
       (99*s[34])/4 + (249*s[35])/4 + 200*s[36] - (2131*s[37])/8 - 
       (12349*s[38])/4 + (193465*s[39])/16 - (220449*s[40])/16 + 
       (173271*s[41])/16 - (278017*s[42])/16 - (1914591*s[43])/176 + 
       (2037325*s[44])/176 - (2114793*s[45])/176 + (2095299*s[46])/22 - 
       (656985*s[47])/176 - (211755*s[48])/88 + (8677259*s[49])/176 - 
       (6445799*s[50])/88 - (3190181*s[51])/264 - (855901*s[52])/88 + 
       (8770057*s[53])/176 - (15584*s[54])/11 + (20962651*s[55])/66 + 
       (14907523*s[56])/176 - (47449685*s[57])/528 + (59316265*s[58])/396 - 
       (59642425*s[59])/396 - (415033847*s[60])/528 + (36451996*s[61])/891 - 
       (17*s[62])/2 - 2*s[64] - s[65]/4 + 4*s[66] + s[67]/2 - 11*s[68] - 
       5*s[69] - (123*s[70])/2 + (19*s[71])/2 - (51*s[72])/2 + (59*s[73])/2 + 
       (371*s[74])/8 - (333*s[75])/8 + (57*s[76])/2 + (277*s[77])/4 - 
       (39*s[78])/2 - 1450*s[79] + (1593*s[80])/4 + s[81]/3 - 1555*s[82] + 
       27*s[83] - 612*s[84] - 464*s[85]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 0, 1}, 1 - w]*((-745*s[2])/8 - (299*s[3])/16 - 
       (164639*s[4])/32 - (320889*s[5])/88 - (3355565*s[6])/352 - 
       (60394841*s[7])/704 + (7204267*s[8])/1056 + (1746311*s[9])/24 + 
       (1083557*s[10])/48 + (66677979*s[11])/704 + (18326173*s[12])/176 + 
       (44149949*s[13])/704 + (8032983*s[14])/704 + (21573461*s[15])/192 + 
       (25352333*s[16])/176 + (76938349*s[17])/704 + (284227*s[18])/18 + 
       (3540563*s[19])/288 + (542851547*s[20])/3168 + 
       (392577265*s[21])/6336 - (287695373*s[22])/6336 - 
       (17134669*s[23])/176 - (74297959*s[24])/792 + (3429228071*s[25])/
        28512 - (1884939383*s[26])/28512 - 10*s[30] - (51*s[31])/2 + 
       10*s[32] + (173*s[33])/16 + (61*s[34])/2 + (249*s[35])/4 + 200*s[36] - 
       (2131*s[37])/8 - (12349*s[38])/4 + (193465*s[39])/16 - 
       (220449*s[40])/16 + (173271*s[41])/16 - (278017*s[42])/16 - 
       (1914591*s[43])/176 + (2037325*s[44])/176 - (2114793*s[45])/176 + 
       (2095299*s[46])/22 - (656985*s[47])/176 - (211755*s[48])/88 + 
       (8677259*s[49])/176 - (6445799*s[50])/88 - (3190181*s[51])/264 - 
       (855901*s[52])/88 + (8770057*s[53])/176 - (15584*s[54])/11 + 
       (20962651*s[55])/66 + (14907523*s[56])/176 - (47449685*s[57])/528 + 
       (59316265*s[58])/396 - (59642425*s[59])/396 - (415033847*s[60])/528 + 
       (36451996*s[61])/891 - (17*s[62])/2 - 2*s[64] - s[65]/4 + 4*s[66] + 
       s[67]/2 - 11*s[68] - 5*s[69] - (123*s[70])/2 + (19*s[71])/2 - 
       (51*s[72])/2 + (59*s[73])/2 + (371*s[74])/8 - (333*s[75])/8 + 
       (57*s[76])/2 + (277*s[77])/4 - (39*s[78])/2 - 1450*s[79] + 
       (1593*s[80])/4 + s[81]/3 - 1555*s[82] + 27*s[83] - 612*s[84] - 
       464*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v]*((-313*s[2])/6 - (1973*s[3])/12 - 
       (56753*s[4])/24 - (21458*s[5])/11 - (1277575*s[6])/264 - 
       (204330169*s[7])/4752 + (22802699*s[8])/7128 + (11762303*s[9])/324 + 
       (989488*s[10])/81 + (223485323*s[11])/4752 + (60264823*s[12])/1188 + 
       (143779309*s[13])/4752 + (33009887*s[14])/4752 + 
       (25022951*s[15])/432 + (87197071*s[16])/1188 + (30640249*s[17])/528 + 
       (1910428*s[18])/243 + (13241911*s[19])/1944 + (1865017015*s[20])/
        21384 + (1358385905*s[21])/42768 - (965035909*s[22])/42768 - 
       (13395827*s[23])/297 - (128214433*s[24])/2673 + 
       (11379640597*s[25])/192456 - (6340156837*s[26])/192456 - 2*s[29] + 
       2*s[30] - 12*s[31] - 3*s[32] - (115*s[33])/12 + 12*s[34] + 
       (41*s[35])/3 + (664*s[36])/9 + (49*s[37])/2 - (4205*s[38])/3 + 
       (21681*s[39])/4 - (222217*s[40])/36 + (59741*s[41])/12 - 
       (274121*s[42])/36 - (2159351*s[43])/396 + (4416925*s[44])/792 - 
       (921043*s[45])/132 + (5017499*s[46])/99 - (2497289*s[47])/2376 - 
       (6017663*s[48])/2376 + (59459717*s[49])/2376 - (3930683*s[50])/99 - 
       (12582241*s[51])/2376 - (9554071*s[52])/2376 + (32730529*s[53])/1188 + 
       (68216*s[54])/99 + (46751663*s[55])/264 + (108335567*s[56])/2376 - 
       (47905775*s[57])/1782 + (1581616237*s[58])/21384 - 
       (1613036803*s[59])/21384 - (6074464073*s[60])/14256 + 
       (4410926671*s[61])/192456 + 2*s[67] + 10*s[68] - 8*s[69] - 24*s[70] + 
       (31*s[71])/3 - 22*s[72] - (2*s[73])/3 + (37*s[74])/2 - (37*s[75])/2 + 
       24*s[76] + (103*s[77])/3 - (34*s[78])/3 - 420*s[79] + (155*s[80])/3 - 
       1658*s[82] + (3*s[83])/2 - 221*s[84] - 452*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[w, v, u]*((-320*s[2])/9 - 
       (416*s[3])/3 - 176*s[4] - (88480*s[5])/99 - (54052*s[6])/33 - 
       (4384496*s[7])/297 + (180812*s[8])/297 + (339556*s[9])/27 + 
       (159680*s[10])/27 + (1520342*s[11])/99 + (1490234*s[12])/99 + 
       (2483188*s[13])/297 + (585424*s[14])/99 + (200144*s[15])/9 + 
       (8018968*s[16])/297 + (7413518*s[17])/297 + (65996*s[18])/27 + 
       (30268*s[19])/9 + (10072636*s[20])/297 + (11315948*s[21])/891 - 
       (6799316*s[22])/891 - (1323722*s[23])/297 - (16789790*s[24])/891 + 
       (142893518*s[25])/8019 - (88839266*s[26])/8019 - (32*s[32])/3 - 
       (224*s[33])/9 - (256*s[34])/9 - (128*s[35])/9 - (512*s[36])/27 + 
       (3680*s[37])/27 - (320*s[38])/3 + (2992*s[39])/9 - (14224*s[40])/27 + 
       (4816*s[41])/9 - (5840*s[42])/27 - (391088*s[43])/297 + 
       (348752*s[44])/297 - (830608*s[45])/297 + (1542976*s[46])/99 + 
       (849668*s[47])/891 - (2233060*s[48])/891 + (5776324*s[49])/891 - 
       (3911192*s[50])/297 - (54668*s[51])/891 + (151600*s[52])/891 + 
       (927248*s[53])/99 + (173392*s[54])/99 + (6357116*s[55])/99 + 
       (13115324*s[56])/891 + (51071632*s[57])/2673 + 
       (123598612*s[58])/8019 - (134249932*s[59])/8019 - 
       (391106390*s[60])/2673 + (595361344*s[61])/72171 - (128*s[70])/3 - 
       (64*s[74])/9 + (64*s[75])/9 + (128*s[77])/3 + (256*s[79])/9 - 
       (128*s[80])/27 - (7136*s[82])/3 - (1280*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-133*s[2])/4 - (353*s[3])/2 - (893*s[4])/2 - (119949*s[5])/176 - 
       (305725*s[6])/176 - (23405431*s[7])/1584 + (1084991*s[8])/1584 + 
       (1781383*s[9])/144 + (805169*s[10])/144 + (8422481*s[11])/528 + 
       (8668079*s[12])/528 + (7459153*s[13])/792 + (1269739*s[14])/264 + 
       (758509*s[15])/36 + (42583727*s[16])/1584 + (9213781*s[17])/396 + 
       (1034425*s[18])/432 + (738169*s[19])/216 + (78252259*s[20])/2376 + 
       (2126697*s[21])/176 - (18271255*s[22])/2376 - (10057483*s[23])/1584 - 
       (90011399*s[24])/4752 + (541718677*s[25])/28512 - 
       (320525389*s[26])/28512 - (3*s[28])/4 + 3*s[29] + (11*s[30])/2 + 
       (19*s[31])/2 - (11*s[32])/4 + 20*s[33] - 46*s[34] + 9*s[35] - 
       (205*s[36])/12 + (1771*s[37])/24 - (585*s[38])/4 + (7991*s[39])/16 - 
       (35513*s[40])/48 + (11421*s[41])/16 - (21007*s[42])/48 - 
       (573787*s[43])/528 + (1188599*s[44])/1056 - (1211197*s[45])/528 + 
       (1744907*s[46])/132 + (2058827*s[47])/3168 - (6705907*s[48])/3168 + 
       (19008943*s[49])/3168 - (2929877*s[50])/264 - (1003031*s[51])/3168 - 
       (150737*s[52])/3168 + (5893379*s[53])/792 + (596611*s[54])/264 + 
       (53965261*s[55])/1056 + (4254017*s[56])/352 + (3300535*s[57])/396 + 
       (146372959*s[58])/9504 - (150254095*s[59])/9504 - 
       (2334099751*s[60])/19008 + (98947373*s[61])/14256 + 2*s[64] + 
       (3*s[65])/4 - 7*s[66] + 3*s[67] - 3*s[68] + 10*s[69] - 41*s[70] - 
       (3*s[71])/4 + 25*s[72] - 13*s[73] - 6*s[74] + (7*s[75])/2 - 
       (41*s[76])/2 + (91*s[77])/2 + 42*s[78] - 42*s[79] + (607*s[80])/12 - 
       2328*s[82] - (3*s[83])/2 - 69*s[84] - 420*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      ((-405*s[2])/8 - (223*s[3])/16 - (144923*s[4])/32 - (273347*s[5])/88 - 
       (2882081*s[6])/352 - (466845773*s[7])/6336 + (56307287*s[8])/9504 + 
       (13478227*s[9])/216 + (8275261*s[10])/432 + (515757023*s[11])/6336 + 
       (142263787*s[12])/1584 + (37991577*s[13])/704 + 
       (60820547*s[14])/6336 + (18436609*s[15])/192 + (65215355*s[16])/528 + 
       (590799289*s[17])/6336 + (4403443*s[18])/324 + (27221455*s[19])/2592 + 
       (4186543567*s[20])/28512 + (3004120421*s[21])/57024 - 
       (2221337089*s[22])/57024 - (14910579*s[23])/176 - 
       (71698300*s[24])/891 + (26594274763*s[25])/256608 - 
       (14513265091*s[26])/256608 - (7*s[31])/2 - (11*s[32])/2 + 
       (729*s[33])/16 - (21*s[34])/2 + (263*s[35])/4 + (350*s[36])/3 - 
       (1721*s[37])/8 - (10757*s[38])/4 + (166701*s[39])/16 - 
       (572111*s[40])/48 + (150379*s[41])/16 - (718159*s[42])/48 - 
       (4890289*s[43])/528 + (5244331*s[44])/528 - (1864155*s[45])/176 + 
       (21925331*s[46])/264 - (5201633*s[47])/1584 - (1749829*s[48])/792 + 
       (66619115*s[49])/1584 - (16843307*s[50])/264 - (8411441*s[51])/792 - 
       (6752807*s[52])/792 + (68657135*s[53])/1584 - (66932*s[54])/33 + 
       (18264391*s[55])/66 + (118382111*s[56])/1584 - 
       (370598285*s[57])/4752 + (931558247*s[58])/7128 - 
       (116263639*s[59])/891 - (406709009*s[60])/594 + 
       (4626964807*s[61])/128304 - 8*s[62] + 2*s[64] - (15*s[65])/4 - 
       12*s[66] + (21*s[67])/2 - 3*s[68] + 15*s[69] - (125*s[70])/2 + 
       (25*s[71])/2 - (7*s[72])/2 + (15*s[73])/2 + (331*s[74])/8 - 
       (289*s[75])/8 + (39*s[76])/2 + (237*s[77])/4 + (69*s[78])/2 - 
       1326*s[79] + (1427*s[80])/4 + s[81]/3 - 1351*s[82] + 27*s[83] - 
       588*s[84] - 416*s[85]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 
       1 - v]*((-515*s[2])/8 - (2213*s[3])/16 - (152779*s[4])/32 - 
       (550497*s[5])/176 - (2960667*s[6])/352 - (160494685*s[7])/2112 + 
       (58109765*s[8])/9504 + (13856197*s[9])/216 + (4312211*s[10])/216 + 
       (531201029*s[11])/6336 + (73092623*s[12])/792 + 
       (353216279*s[13])/6336 + (59297177*s[14])/6336 + 
       (57289849*s[15])/576 + (201932801*s[16])/1584 + 
       (611805083*s[17])/6336 + (4505947*s[18])/324 + (28830433*s[19])/2592 + 
       (4296855157*s[20])/28512 + (3072781835*s[21])/57024 - 
       (2286768787*s[22])/57024 - (139935097*s[23])/1584 - 
       (295917541*s[24])/3564 + (27472081699*s[25])/256608 - 
       (14907660139*s[26])/256608 + s[28]/4 - 20*s[29] - (11*s[30])/4 - 
       (55*s[31])/2 + (13*s[32])/2 + 30*s[33] - (3*s[34])/4 + (263*s[35])/4 + 
       (350*s[36])/3 - (1721*s[37])/8 - (10757*s[38])/4 + (166701*s[39])/16 - 
       (572111*s[40])/48 + (150379*s[41])/16 - (718159*s[42])/48 - 
       (4890289*s[43])/528 + (5244331*s[44])/528 - (1864155*s[45])/176 + 
       (21925331*s[46])/264 - (5201633*s[47])/1584 - (1749829*s[48])/792 + 
       (66619115*s[49])/1584 - (16843307*s[50])/264 - (8411441*s[51])/792 - 
       (6752807*s[52])/792 + (68657135*s[53])/1584 - (66932*s[54])/33 + 
       (18264391*s[55])/66 + (118382111*s[56])/1584 - 
       (370598285*s[57])/4752 + (931558247*s[58])/7128 - 
       (116263639*s[59])/891 - (406709009*s[60])/594 + 
       (4626964807*s[61])/128304 - 8*s[62] + 2*s[64] - (15*s[65])/4 - 
       12*s[66] + (21*s[67])/2 - 3*s[68] + 15*s[69] - (125*s[70])/2 + 
       (25*s[71])/2 - (7*s[72])/2 + (15*s[73])/2 + (331*s[74])/8 - 
       (289*s[75])/8 + (39*s[76])/2 + (237*s[77])/4 + (69*s[78])/2 - 
       1326*s[79] + (1427*s[80])/4 + s[81]/3 - 1351*s[82] + 27*s[83] - 
       588*s[84] - 416*s[85]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 
       1 - u]*(-44*s[2] - (2819*s[3])/24 - (22445*s[4])/6 - 
       (1253717*s[5])/528 - (3457981*s[6])/528 - (563795359*s[7])/9504 + 
       (847963*s[8])/176 + (3603899*s[9])/72 + (752767*s[10])/48 + 
       (208013167*s[11])/3168 + (6359323*s[12])/88 + (415675187*s[13])/9504 + 
       (21441985*s[14])/3168 + (67176181*s[15])/864 + 
       (473889697*s[16])/4752 + (716912539*s[17])/9504 + 
       (6867845*s[18])/648 + (11797805*s[19])/1296 + (1672508819*s[20])/
        14256 + (1201867805*s[21])/28512 - (99143651*s[22])/3168 - 
       (80902091*s[23])/1188 - (77391713*s[24])/1188 + 
       (1344770783*s[25])/16038 - (2924212937*s[26])/64152 - (97*s[30])/12 - 
       (65*s[31])/6 + (3*s[32])/2 + (65*s[33])/16 + (163*s[34])/12 + 
       (135*s[35])/2 + (943*s[36])/9 - (884*s[37])/9 - (13315*s[38])/6 + 
       (67773*s[39])/8 - (687581*s[40])/72 + (181309*s[41])/24 - 
       (864805*s[42])/72 - (6111211*s[43])/792 + (12813071*s[44])/1584 - 
       (848318*s[45])/99 + (53309477*s[46])/792 - (11664931*s[47])/4752 - 
       (8597977*s[48])/4752 + (167624125*s[49])/4752 - (20601335*s[50])/396 - 
       (39913193*s[51])/4752 - (31642313*s[52])/4752 + 
       (41988197*s[53])/1188 + (94819*s[54])/396 + (39705311*s[55])/176 + 
       (93363365*s[56])/1584 - (5971084*s[57])/99 + (1494185045*s[58])/
        14256 - (1510802837*s[59])/14256 - (15892664839*s[60])/28512 + 
       (921773773*s[61])/32076 - 21*s[70] + 10*s[71] - 21*s[72] + 
       (59*s[73])/3 + (137*s[74])/4 - (153*s[75])/4 + 21*s[76] + 
       (173*s[77])/6 - (55*s[78])/3 - 848*s[79] + (1610*s[80])/9 - 
       1340*s[82] - 2*s[83] - 351*s[84] - 416*s[85]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((-127*s[2])/3 - (2897*s[3])/24 - (89521*s[4])/24 - 
       (1378675*s[5])/528 - (3491209*s[6])/528 - (585457567*s[7])/9504 + 
       (22704307*s[8])/4752 + (11273455*s[9])/216 + (7174207*s[10])/432 + 
       (215370635*s[11])/3168 + (58957655*s[12])/792 + 
       (426543815*s[13])/9504 + (24516761*s[14])/3168 + 
       (70443409*s[15])/864 + (494107231*s[16])/4752 + 
       (755530795*s[17])/9504 + (1776565*s[18])/162 + (12540757*s[19])/1296 + 
       (1751681449*s[20])/14256 + (421322195*s[21])/9504 - 
       (928135511*s[22])/28512 - (81706451*s[23])/1188 - 
       (485818559*s[24])/7128 + (3696574349*s[25])/42768 - 
       (2022070889*s[26])/42768 - (113*s[30])/12 - (61*s[31])/6 + 
       (7*s[32])/6 - (115*s[33])/16 + (307*s[34])/12 + (135*s[35])/2 + 
       (943*s[36])/9 - (884*s[37])/9 - (13315*s[38])/6 + (67773*s[39])/8 - 
       (687581*s[40])/72 + (181309*s[41])/24 - (864805*s[42])/72 - 
       (6111211*s[43])/792 + (12813071*s[44])/1584 - (848318*s[45])/99 + 
       (53309477*s[46])/792 - (11664931*s[47])/4752 - (8597977*s[48])/4752 + 
       (167624125*s[49])/4752 - (20601335*s[50])/396 - 
       (39913193*s[51])/4752 - (31642313*s[52])/4752 + 
       (41988197*s[53])/1188 + (94819*s[54])/396 + (39705311*s[55])/176 + 
       (93363365*s[56])/1584 - (5971084*s[57])/99 + (1494185045*s[58])/
        14256 - (1510802837*s[59])/14256 - (15892664839*s[60])/28512 + 
       (921773773*s[61])/32076 - 21*s[70] + 10*s[71] - 21*s[72] + 
       (59*s[73])/3 + (137*s[74])/4 - (153*s[75])/4 + 21*s[76] + 
       (173*s[77])/6 - (55*s[78])/3 - 848*s[79] + (1610*s[80])/9 - 
       1340*s[82] - 2*s[83] - 351*s[84] - 416*s[85]) + 
     HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - w]*((-89*s[2])/2 + (217*s[3])/4 - 
       (72791*s[4])/8 - (72318*s[5])/11 - (1592881*s[6])/88 - 
       (80180411*s[7])/528 + (26183171*s[8])/2376 + (3506246*s[9])/27 + 
       (4205713*s[10])/108 + (266041667*s[11])/1584 + (72890725*s[12])/396 + 
       (180302909*s[13])/1584 + (32037551*s[14])/1584 + 
       (28740079*s[15])/144 + (100043327*s[16])/396 + 
       (304300373*s[17])/1584 + (2184580*s[18])/81 + (14253595*s[19])/648 + 
       (2139928579*s[20])/7128 + (1571998433*s[21])/14256 - 
       (1145316781*s[22])/14256 - (68493553*s[23])/396 - 
       (298543709*s[24])/1782 + (13708714207*s[25])/64152 - 
       (7610525995*s[26])/64152 - 12*s[28] - 192*s[29] - 2*s[30] - 
       162*s[31] - 6*s[32] + (1783*s[33])/4 - 108*s[34] + 420*s[35] - 
       39*s[36] - (2437*s[37])/6 - 5619*s[38] + 19335*s[39] - 22346*s[40] + 
       (35007*s[41])/2 - 27577*s[42] - 17613*s[43] + (141947*s[44])/8 - 
       (223357*s[45])/12 + (1751491*s[46])/12 - (146113*s[47])/24 - 
       (96721*s[48])/24 + (1747531*s[49])/24 - 107886*s[50] - 
       (485969*s[51])/24 - (417779*s[52])/24 + (653651*s[53])/9 - 
       (36776*s[54])/3 + (3784675*s[55])/8 + (9873983*s[56])/72 - 
       (18000067*s[57])/108 + (155784751*s[58])/648 - (153581173*s[59])/648 - 
       (171027599*s[60])/144 + (371598997*s[61])/5832 - 4*s[64] - 48*s[65] - 
       64*s[66] + 96*s[67] - 24*s[68] + 184*s[69] - 400*s[70] + 132*s[71] + 
       2*s[72] + 2*s[73] + (9*s[74])/2 - (73*s[75])/2 + 28*s[76] + 
       447*s[77] + 162*s[78] - 3260*s[79] + (2231*s[80])/3 + 2*s[81] + 
       2208*s[82] + 111*s[83] - 1002*s[84] - 408*s[85]) + 
     HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - v]*((-91*s[2])/2 - (3419*s[3])/4 - 
       (64405*s[4])/8 - (160265*s[5])/44 - (1288569*s[6])/88 - 
       (19480009*s[7])/176 + (23675495*s[8])/2376 + (2520056*s[9])/27 + 
       (1288499*s[10])/54 + (196122695*s[11])/1584 + (13966693*s[12])/99 + 
       (137103917*s[13])/1584 + (20490419*s[14])/1584 + 
       (19455007*s[15])/144 + (35332633*s[16])/198 + (196543289*s[17])/1584 + 
       (3856145*s[18])/162 + (5730007*s[19])/648 + (1541149855*s[20])/7128 + 
       (1110559049*s[21])/14256 - (830753161*s[22])/14256 - 
       (15122812*s[23])/99 - (396446563*s[24])/3564 + 
       (10207563013*s[25])/64152 - (5608693117*s[26])/64152 - 525*s[30] - 
       4*s[31] - 61*s[32] - (91*s[33])/2 + 3*s[34] + 420*s[35] - 39*s[36] - 
       (2437*s[37])/6 - 5619*s[38] + 19335*s[39] - 22346*s[40] + 
       (35007*s[41])/2 - 27577*s[42] - 17613*s[43] + (141947*s[44])/8 - 
       (223357*s[45])/12 + (1751491*s[46])/12 - (146113*s[47])/24 - 
       (96721*s[48])/24 + (1747531*s[49])/24 - 107886*s[50] - 
       (485969*s[51])/24 - (417779*s[52])/24 + (653651*s[53])/9 - 
       (36776*s[54])/3 + (3784675*s[55])/8 + (9873983*s[56])/72 - 
       (18000067*s[57])/108 + (155784751*s[58])/648 - (153581173*s[59])/648 - 
       (171027599*s[60])/144 + (371598997*s[61])/5832 - 4*s[64] - 48*s[65] - 
       64*s[66] + 96*s[67] - 24*s[68] + 184*s[69] - 400*s[70] + 132*s[71] + 
       2*s[72] + 2*s[73] + (9*s[74])/2 - (73*s[75])/2 + 28*s[76] + 
       447*s[77] + 162*s[78] - 3260*s[79] + (2231*s[80])/3 + 2*s[81] + 
       2208*s[82] + 111*s[83] - 1002*s[84] - 408*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - u]*
      (-48*s[2] - (1639*s[3])/12 - (18617*s[4])/8 - (225695*s[5])/132 - 
       (392829*s[6])/88 - (188796167*s[7])/4752 + (22090625*s[8])/7128 + 
       (10848809*s[9])/324 + (3555619*s[10])/324 + (207251897*s[11])/4752 + 
       (28144673*s[12])/594 + (44975173*s[13])/1584 + (26513705*s[14])/4752 + 
       (7642675*s[15])/144 + (8914249*s[16])/132 + (249958903*s[17])/4752 + 
       (1758274*s[18])/243 + (12024571*s[19])/1944 + (1704159835*s[20])/
        21384 + (1235563403*s[21])/42768 - (892588171*s[22])/42768 - 
       (4315133*s[23])/99 - (117565168*s[24])/2673 + (10628837203*s[25])/
        192456 - (5863290799*s[26])/192456 - s[28]/3 + 2*s[29] - s[30]/3 - 
       (47*s[31])/3 + s[32]/3 - (17*s[33])/6 + 14*s[34] + (41*s[35])/3 + 
       (731*s[36])/9 - 7*s[37] - (7601*s[38])/6 + (10247*s[39])/2 - 
       (104713*s[40])/18 + (18817*s[41])/4 - (262693*s[42])/36 - 
       (990461*s[43])/198 + (4076873*s[44])/792 - (2397409*s[45])/396 + 
       (18000725*s[46])/396 - (2723035*s[47])/2376 - (4558363*s[48])/2376 + 
       (54333817*s[49])/2376 - (14074375*s[50])/396 - (11889917*s[51])/2376 - 
       (9139289*s[52])/2376 + (14593655*s[53])/594 + (175889*s[54])/396 + 
       (124330825*s[55])/792 + (32106413*s[56])/792 - (1281075*s[57])/44 + 
       (481377419*s[58])/7128 - (490739015*s[59])/7128 - 
       (5412291685*s[60])/14256 + (1295885431*s[61])/64152 - s[64]/2 + 
       s[65]/6 + s[66] - 2*s[67] + 12*s[68] - 14*s[69] - (38*s[70])/3 + 
       (41*s[71])/6 - 22*s[72] - 12*s[73] + (52*s[74])/3 - (113*s[75])/6 + 
       21*s[76] + (70*s[77])/3 - (38*s[78])/3 - (1301*s[79])/3 + 
       (649*s[80])/9 - 1430*s[82] - (3*s[83])/4 - (495*s[84])/2 - 
       404*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 
       1 - u]*((-115*s[2])/3 - (1441*s[3])/12 - (12527*s[4])/4 - 
       (545837*s[5])/264 - (241259*s[6])/44 - (26477269*s[7])/528 + 
       (14573539*s[8])/3564 + (27416107*s[9])/648 + (8679815*s[10])/648 + 
       (131759119*s[11])/2376 + (289507723*s[12])/4752 + 
       (174096623*s[13])/4752 + (27493127*s[14])/4752 + 
       (28475527*s[15])/432 + (100534715*s[16])/1188 + 
       (152832253*s[17])/2376 + (17573777*s[18])/1944 + (7538201*s[19])/972 + 
       (2128562641*s[20])/21384 + (1527450323*s[21])/42768 - 
       (1131119119*s[22])/42768 - (273612523*s[23])/4752 - 
       (2360197843*s[24])/42768 + (27224013563*s[25])/384912 - 
       (14785890047*s[26])/384912 - (17*s[30])/2 - (23*s[31])/3 - s[32] + 
       (427*s[33])/24 + (17*s[34])/6 + 73*s[35] + (359*s[36])/3 - 
       (2011*s[37])/18 - 1765*s[38] + (21296*s[39])/3 - 8003*s[40] + 
       (12675*s[41])/2 - 10152*s[42] - (138669*s[43])/22 + 
       (297685*s[44])/44 - (2782127*s[45])/396 + (22127471*s[46])/396 - 
       (1713847*s[47])/792 - (970159*s[48])/792 + (23117191*s[49])/792 - 
       (5708453*s[50])/132 - (5609077*s[51])/792 - (2206957*s[52])/396 + 
       (34955491*s[53])/1188 + (59815*s[54])/198 + (147672059*s[55])/792 + 
       (115907635*s[56])/2376 - (46118822*s[57])/891 + 
       (1866208265*s[58])/21384 - (1882148687*s[59])/21384 - 
       (243239075*s[60])/528 + (2306017297*s[61])/96228 - (56*s[70])/3 - 
       (5*s[71])/3 - (46*s[72])/3 + 8*s[73] + (185*s[74])/6 - (193*s[75])/6 + 
       (46*s[76])/3 + (71*s[77])/3 - (38*s[78])/3 - (2002*s[79])/3 + 
       (1763*s[80])/9 - 1464*s[82] - s[83]/2 - 333*s[84] - 392*s[85]) + 
     HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - u]*(-24*s[2] - 447*s[3] - 
       (26417*s[4])/2 - (93264*s[5])/11 - (495007*s[6])/22 - 
       (79927729*s[7])/396 + (9381853*s[8])/594 + (4610482*s[9])/27 + 
       (1337015*s[10])/27 + (88589929*s[11])/396 + (24597578*s[12])/99 + 
       (6719331*s[13])/44 + (8529217*s[14])/396 + (3131213*s[15])/12 + 
       (21973685*s[16])/66 + (97695551*s[17])/396 + (3037769*s[18])/81 + 
       (4541549*s[19])/162 + (703944299*s[20])/1782 + 
       (512781979*s[21])/3564 - (378542039*s[22])/3564 - (5322973*s[23])/22 - 
       (385624165*s[24])/1782 + (4596908711*s[25])/16038 - 
       (2523124697*s[26])/16038 + 4*s[30] + 8*s[31] - 22*s[32] + 13*s[33] + 
       116*s[34] + 40*s[35] + (980*s[36])/3 - (1172*s[37])/3 - 9148*s[38] + 
       30583*s[39] - (102209*s[40])/3 + 26465*s[41] - (127915*s[42])/3 - 
       (909643*s[43])/33 + (1800467*s[44])/66 - (954572*s[45])/33 + 
       (2478995*s[46])/11 - (2160253*s[47])/198 - (750163*s[48])/198 + 
       (23448127*s[49])/198 - (5574400*s[50])/33 - (5902991*s[51])/198 - 
       (5312213*s[52])/198 + (3778129*s[53])/33 - (91590*s[54])/11 + 
       (48742961*s[55])/66 + (39043493*s[56])/198 - (71468842*s[57])/297 + 
       (650635663*s[58])/1782 - (651587125*s[59])/1782 - 
       (2183343721*s[60])/1188 + (1516555627*s[61])/16038 - 48*s[70] + 
       144*s[71] + 16*s[72] - 40*s[73] + 88*s[74] - 104*s[75] - 16*s[76] + 
       40*s[77] + 16*s[78] - 3016*s[79] + (608*s[80])/3 + 5136*s[82] + 
       102*s[83] - 804*s[84] - 384*s[85]) + HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - v]*(-25*s[2] - 115*s[3] - 2886*s[4] - 
       (32115*s[5])/22 - (99185*s[6])/22 - (2824769*s[7])/66 + 
       (37858*s[8])/11 + 36044*s[9] + (23101*s[10])/2 + (2097923*s[11])/44 + 
       (1165849*s[12])/22 + (4250069*s[13])/132 + (189199*s[14])/44 + 
       (165755*s[15])/3 + (9489983*s[16])/132 + (7014661*s[17])/132 + 
       (133531*s[18])/18 + (62884*s[19])/9 + (8363125*s[20])/99 + 
       (11720405*s[21])/396 - (2994083*s[22])/132 - (6418807*s[23])/132 - 
       (6327491*s[24])/132 + (218281949*s[25])/3564 - 
       (116226179*s[26])/3564 - 34*s[29] + 2*s[30] - 4*s[32] + (29*s[33])/2 - 
       32*s[34] - 28*s[35] + (115*s[36])/3 - (121*s[37])/3 - 1608*s[38] + 
       (23661*s[39])/4 - (83347*s[40])/12 + (22153*s[41])/4 - 
       (100355*s[42])/12 - (736193*s[43])/132 + (1576813*s[44])/264 - 
       (197710*s[45])/33 + (2087705*s[46])/44 - (1186859*s[47])/792 - 
       (1675853*s[48])/792 + (20385737*s[49])/792 - (2447551*s[50])/66 - 
       (4753981*s[51])/792 - (3755707*s[52])/792 + (1065979*s[53])/44 + 
       (8721*s[54])/11 + (41379443*s[55])/264 + (32469931*s[56])/792 - 
       (25452421*s[57])/594 + (526704665*s[58])/7128 - 
       (525690455*s[59])/7128 - (1910402303*s[60])/4752 + 
       (1279297181*s[61])/64152 - 12*s[62] + 2*s[64] - 3*s[65] - 8*s[66] + 
       4*s[67] + 2*s[68] + 20*s[69] - 86*s[70] + 6*s[71] + 12*s[72] + 
       20*s[73] + 14*s[74] - 8*s[75] - 12*s[76] + 100*s[77] + 76*s[78] - 
       932*s[79] + (886*s[80])/3 + s[81]/3 - 1536*s[82] + 36*s[83] - 
       312*s[84] - 384*s[85]) + HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w]*(-31*s[2] + (43*s[3])/2 - (10393*s[4])/4 - 
       (34887*s[5])/22 - (202341*s[6])/44 - (33700823*s[7])/792 + 
       (3772799*s[8])/1188 + (1950365*s[9])/54 + (312452*s[10])/27 + 
       (37587461*s[11])/792 + (10398085*s[12])/198 + (8443081*s[13])/264 + 
       (4308473*s[14])/792 + (440213*s[15])/8 + (1575997*s[16])/22 + 
       (42323575*s[17])/792 + (1147717*s[18])/162 + (2306029*s[19])/324 + 
       (302715493*s[20])/3564 + (213642347*s[21])/7128 - 
       (161569327*s[22])/7128 - (2925917*s[23])/66 - (86394139*s[24])/1782 + 
       (485291683*s[25])/8019 - (261024427*s[26])/8019 + 22*s[30] + 4*s[31] - 
       12*s[32] + (29*s[33])/2 - 22*s[34] - 28*s[35] + (115*s[36])/3 - 
       (121*s[37])/3 - 1608*s[38] + (23661*s[39])/4 - (83347*s[40])/12 + 
       (22153*s[41])/4 - (100355*s[42])/12 - (736193*s[43])/132 + 
       (1576813*s[44])/264 - (197710*s[45])/33 + (2087705*s[46])/44 - 
       (1186859*s[47])/792 - (1675853*s[48])/792 + (20385737*s[49])/792 - 
       (2447551*s[50])/66 - (4753981*s[51])/792 - (3755707*s[52])/792 + 
       (1065979*s[53])/44 + (8721*s[54])/11 + (41379443*s[55])/264 + 
       (32469931*s[56])/792 - (25452421*s[57])/594 + (526704665*s[58])/7128 - 
       (525690455*s[59])/7128 - (1910402303*s[60])/4752 + 
       (1279297181*s[61])/64152 - 12*s[62] + 2*s[64] - 3*s[65] - 8*s[66] + 
       4*s[67] + 2*s[68] + 20*s[69] - 86*s[70] + 6*s[71] + 12*s[72] + 
       20*s[73] + 14*s[74] - 8*s[75] - 12*s[76] + 100*s[77] + 76*s[78] - 
       932*s[79] + (886*s[80])/3 + s[81]/3 - 1536*s[82] + 36*s[83] - 
       312*s[84] - 384*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*((-497*s[2])/12 - 
       (1067*s[3])/9 - (58241*s[4])/24 - (1440287*s[5])/792 - 
       (205097*s[6])/44 - (135131047*s[7])/3168 + (140162747*s[8])/42768 + 
       (140226109*s[9])/3888 + (46645697*s[10])/3888 + 
       (1334678891*s[11])/28512 + (725268287*s[12])/14256 + 
       (866419277*s[13])/28512 + (181030745*s[14])/28512 + 
       (147571741*s[15])/2592 + (1032933811*s[16])/14256 + 
       (1605918269*s[17])/28512 + (90840755*s[18])/11664 + 
       (19495639*s[19])/2916 + (5533020719*s[20])/64152 + 
       (8026435727*s[21])/256608 - (5760969451*s[22])/256608 - 
       (649024331*s[23])/14256 - (6100346297*s[24])/128304 + 
       (4261175410*s[25])/72171 - (18900329711*s[26])/577368 + (55*s[30])/9 - 
       (5*s[31])/3 + (215*s[32])/36 + (301*s[33])/72 - (154*s[34])/9 + 
       (131*s[35])/18 + (225*s[36])/4 - (1993*s[37])/108 - (46657*s[38])/36 + 
       (243559*s[39])/48 - (279331*s[40])/48 + (671863*s[41])/144 - 
       (115319*s[42])/16 - (698893*s[43])/144 + (20381*s[44])/4 - 
       (159260*s[45])/27 + (19103357*s[46])/432 - (65731*s[47])/54 - 
       (750887*s[48])/432 + (2405663*s[49])/108 - (1245017*s[50])/36 - 
       (2185217*s[51])/432 - (1697371*s[52])/432 + (30597673*s[53])/1296 + 
       (21181*s[54])/54 + (65564711*s[55])/432 + (3200159*s[56])/81 - 
       (121776743*s[57])/3888 + (779170567*s[58])/11664 - 
       (789074491*s[59])/11664 - (53302163*s[60])/144 + 
       (1030469207*s[61])/52488 + s[64] + s[65]/2 - 4*s[66] + s[67] + 
       (28*s[68])/3 + (2*s[69])/3 - (67*s[70])/3 + (59*s[71])/12 - 
       (25*s[72])/3 + 6*s[73] + (605*s[74])/36 - (497*s[75])/36 + 
       (19*s[76])/3 + (677*s[77])/18 + (143*s[78])/9 - (4753*s[79])/9 + 
       (6587*s[80])/54 - (3535*s[82])/3 + (27*s[83])/2 - 259*s[84] - 
       (1124*s[85])/3) + HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((-229*s[2])/12 + (553*s[3])/24 - (67111*s[4])/24 - 
       (1023409*s[5])/528 - (2427967*s[6])/528 - (436937263*s[7])/9504 + 
       (17072405*s[8])/4752 + (8395361*s[9])/216 + (5570033*s[10])/432 + 
       (53313899*s[11])/1056 + (10860475*s[12])/198 + 
       (313991105*s[13])/9504 + (1873603*s[14])/352 + (53348473*s[15])/864 + 
       (92890447*s[16])/1188 + (577680889*s[17])/9504 + (1641689*s[18])/216 + 
       (3539185*s[19])/432 + (433896053*s[20])/4752 + 
       (925285387*s[21])/28512 - (692272813*s[22])/28512 - 
       (235691087*s[23])/4752 - (736813739*s[24])/14256 + 
       (8272775195*s[25])/128304 - (4452354485*s[26])/128304 + 
       (451*s[30])/12 + (5*s[31])/6 + (257*s[32])/12 + (239*s[33])/16 - 
       (125*s[34])/12 + 20*s[35] + (1153*s[36])/9 - (179*s[37])/9 - 
       (4667*s[38])/3 + (24511*s[39])/4 - (250027*s[40])/36 + 
       (67175*s[41])/12 - (311363*s[42])/36 - (2282597*s[43])/396 + 
       (9809543*s[44])/1584 - (5557723*s[45])/792 + (42155279*s[46])/792 - 
       (6401563*s[47])/4752 - (9249859*s[48])/4752 + (130878361*s[49])/4752 - 
       (4181627*s[50])/99 - (28123811*s[51])/4752 - (21755711*s[52])/4752 + 
       (68780455*s[53])/2376 + (732841*s[54])/396 + (32564771*s[55])/176 + 
       (72672893*s[56])/1584 - (26141099*s[57])/792 + 
       (1120917557*s[58])/14256 - (1149874709*s[59])/14256 - 
       (12781468333*s[60])/28512 + (1469137103*s[61])/64152 + 3*s[62] + 
       2*s[64] + s[65]/2 + s[66] - (11*s[67])/2 + 20*s[68] - 19*s[69] + 
       33*s[70] + (3*s[71])/2 - 10*s[72] + (50*s[73])/3 + (145*s[74])/4 - 
       (63*s[75])/2 + (3*s[76])/2 - (71*s[77])/3 - (4*s[78])/3 - 602*s[79] + 
       (2431*s[80])/18 - s[81]/3 - 1568*s[82] - 2*s[83] - 345*s[84] - 
       368*s[85]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((-71*s[2])/4 - (2321*s[3])/24 - (66839*s[4])/24 - (1171337*s[5])/528 - 
       (2706619*s[6])/528 - (476460175*s[7])/9504 + (17269283*s[8])/4752 + 
       (9183359*s[9])/216 + (6342587*s[10])/432 + (19258177*s[11])/352 + 
       (46634287*s[12])/792 + (329724845*s[13])/9504 + (8698609*s[14])/1056 + 
       (59078485*s[15])/864 + (51097745*s[16])/594 + (648512749*s[17])/9504 + 
       (959335*s[18])/108 + (3681745*s[19])/432 + (488914049*s[20])/4752 + 
       (1061883343*s[21])/28512 - (754945885*s[22])/28512 - 
       (235160711*s[23])/4752 - (808650779*s[24])/14256 + 
       (2199865127*s[25])/32076 - (1225984055*s[26])/32076 - 2*s[28] + 
       21*s[29] + (11*s[30])/12 + (85*s[31])/6 + (27*s[32])/4 - 
       (515*s[33])/16 + (127*s[34])/12 + 20*s[35] + (1153*s[36])/9 - 
       (179*s[37])/9 - (4667*s[38])/3 + (24511*s[39])/4 - (250027*s[40])/36 + 
       (67175*s[41])/12 - (311363*s[42])/36 - (2282597*s[43])/396 + 
       (9809543*s[44])/1584 - (5557723*s[45])/792 + (42155279*s[46])/792 - 
       (6401563*s[47])/4752 - (9249859*s[48])/4752 + (130878361*s[49])/4752 - 
       (4181627*s[50])/99 - (28123811*s[51])/4752 - (21755711*s[52])/4752 + 
       (68780455*s[53])/2376 + (732841*s[54])/396 + (32564771*s[55])/176 + 
       (72672893*s[56])/1584 - (26141099*s[57])/792 + 
       (1120917557*s[58])/14256 - (1149874709*s[59])/14256 - 
       (12781468333*s[60])/28512 + (1469137103*s[61])/64152 + 3*s[62] + 
       2*s[64] + s[65]/2 + s[66] - (11*s[67])/2 + 20*s[68] - 19*s[69] + 
       33*s[70] + (3*s[71])/2 - 10*s[72] + (50*s[73])/3 + (145*s[74])/4 - 
       (63*s[75])/2 + (3*s[76])/2 - (71*s[77])/3 - (4*s[78])/3 - 602*s[79] + 
       (2431*s[80])/18 - s[81]/3 - 1568*s[82] - 2*s[83] - 345*s[84] - 
       368*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - v]*((-395*s[2])/6 - (209*s[3])/12 - 
       (33983*s[4])/24 - (227063*s[5])/132 - (328593*s[6])/88 - 
       (17480549*s[7])/528 + (16466015*s[8])/7128 + (9159755*s[9])/324 + 
       (3189451*s[10])/324 + (170867387*s[11])/4752 + (22780631*s[12])/594 + 
       (107342993*s[13])/4752 + (33807023*s[14])/4752 + 
       (19461787*s[15])/432 + (67630301*s[16])/1188 + 
       (219252797*s[17])/4752 + (6373777*s[18])/972 + (9157165*s[19])/1944 + 
       (1480073887*s[20])/21384 + (1123300553*s[21])/42768 - 
       (746678485*s[22])/42768 - (9532987*s[23])/297 - 
       (393643165*s[24])/10692 + (8470992847*s[25])/192456 - 
       (4964870569*s[26])/192456 - (2*s[28])/3 - 8*s[29] + (13*s[30])/3 - 
       28*s[31] + (4*s[32])/3 - (26*s[33])/3 + (25*s[34])/3 + (65*s[35])/3 + 
       (311*s[36])/6 + (2*s[37])/9 - (6019*s[38])/6 + (32709*s[39])/8 - 
       (37193*s[40])/8 + (89149*s[41])/24 - (139813*s[42])/24 - 
       (998017*s[43])/264 + (2123911*s[44])/528 - (1922557*s[45])/396 + 
       (28514867*s[46])/792 - (1931717*s[47])/1584 - (1745663*s[48])/1584 + 
       (28009871*s[49])/1584 - (1852949*s[50])/66 - (2134673*s[51])/528 - 
       (4987141*s[52])/1584 + (11460145*s[53])/594 + (70819*s[54])/99 + 
       (65581189*s[55])/528 + (155359351*s[56])/4752 - 
       (95070043*s[57])/3564 + (2351074373*s[58])/42768 - 
       (2372011307*s[59])/42768 - (2851359025*s[60])/9504 + 
       (6339960551*s[61])/384912 - 4*s[62] - s[64] - (5*s[65])/3 + 10*s[66] - 
       (26*s[67])/3 - 6*s[68] - 12*s[69] - (112*s[70])/3 + s[71] - 14*s[72] + 
       13*s[73] + (83*s[74])/6 - (89*s[75])/6 + (20*s[76])/3 + 
       (155*s[77])/3 - (115*s[78])/3 - (1090*s[79])/3 + (1027*s[80])/9 + 
       s[81]/6 - 1452*s[82] + (41*s[83])/2 - 105*s[84] - 356*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((-115*s[2])/2 - 10*s[3] - 4075*s[4] - (11563*s[5])/4 - 
       (29471*s[6])/4 - (2407229*s[7])/36 + (588059*s[8])/108 + 
       (6120557*s[9])/108 + (940685*s[10])/54 + (5302037*s[11])/72 + 
       (2911379*s[12])/36 + (3499333*s[13])/72 + (601829*s[14])/72 + 
       (3166463*s[15])/36 + (8080549*s[16])/72 + (2048809*s[17])/24 + 
       (2027321*s[18])/162 + (757655*s[19])/81 + (43106455*s[20])/324 + 
       (31297355*s[21])/648 - (22883647*s[22])/648 - (5640107*s[23])/72 - 
       (46918351*s[24])/648 + (68243317*s[25])/729 - (75113195*s[26])/1458 - 
       12*s[30] - 18*s[31] + 7*s[32] + (19*s[33])/4 + 30*s[34] + 58*s[35] + 
       (331*s[36])/2 - 176*s[37] - (4683*s[38])/2 + (74621*s[39])/8 - 
       (84409*s[40])/8 + (66943*s[41])/8 - (107547*s[42])/8 - 
       (66609*s[43])/8 + (141155*s[44])/16 - (37157*s[45])/4 + 
       (588661*s[46])/8 - (47363*s[47])/16 - (24625*s[48])/16 + 
       (602441*s[49])/16 - (113451*s[50])/2 - (447479*s[51])/48 - 
       (119723*s[52])/16 + (467369*s[53])/12 - 1232*s[54] + 
       (3959213*s[55])/16 + (3155569*s[56])/48 - (2437561*s[57])/36 + 
       (49750451*s[58])/432 - (50312537*s[59])/432 - (58016695*s[60])/96 + 
       (123923063*s[61])/3888 - 4*s[62] + s[64] + 6*s[66] - 8*s[67] + 
       8*s[68] - 24*s[69] - 28*s[70] + 8*s[71] - 32*s[72] + 7*s[73] + 
       (79*s[74])/2 - 37*s[75] + 18*s[76] + 48*s[77] - 19*s[78] - 974*s[79] + 
       232*s[80] + s[81]/6 - 632*s[82] + (33*s[83])/2 - 387*s[84] - 
       352*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*((-116*s[2])/3 - (1393*s[3])/12 - 
       (22077*s[4])/8 - (148151*s[5])/66 - (179371*s[6])/33 - 
       (236316797*s[7])/4752 + (13575665*s[8])/3564 + (27246575*s[9])/648 + 
       (4528295*s[10])/324 + (128914439*s[11])/2376 + 
       (278608955*s[12])/4752 + (165891005*s[13])/4752 + 
       (37522489*s[14])/4752 + (29060923*s[15])/432 + (25167299*s[16])/297 + 
       (26488217*s[17])/396 + (8729885*s[18])/972 + (15284015*s[19])/1944 + 
       (269588560*s[20])/2673 + (1567811119*s[21])/42768 - 
       (1117817345*s[22])/42768 - (249591193*s[23])/4752 - 
       (2372629199*s[24])/42768 + (26320622689*s[25])/384912 - 
       (14662990297*s[26])/384912 + (4*s[30])/3 - (14*s[31])/3 - 
       (5*s[32])/6 - (23*s[33])/6 - (26*s[34])/3 + (9*s[35])/2 + 
       (2293*s[36])/36 - (1393*s[37])/18 - (16937*s[38])/12 + 
       (271103*s[39])/48 - (927745*s[40])/144 + (81615*s[41])/16 - 
       (1163951*s[42])/144 - (8460635*s[43])/1584 + (17689327*s[44])/3168 - 
       (5164393*s[45])/792 + (77781331*s[46])/1584 - (14252153*s[47])/9504 - 
       (14662343*s[48])/9504 + (231899303*s[49])/9504 - (3785765*s[50])/99 - 
       (52812079*s[51])/9504 - (41537209*s[52])/9504 + (7869848*s[53])/297 - 
       (22403*s[54])/99 + (538356253*s[55])/3168 + (139668239*s[56])/3168 - 
       (39892049*s[57])/1188 + (701049859*s[58])/9504 - 
       (26451407*s[59])/352 - (23318382809*s[60])/57024 + 
       (5584156423*s[61])/256608 + 2*s[68] - 10*s[70] + (13*s[71])/3 - 
       (59*s[72])/3 - (5*s[73])/6 + (71*s[74])/4 - (69*s[75])/4 + 
       (8*s[76])/3 + (31*s[77])/2 - (89*s[78])/6 - (1829*s[79])/3 + 
       (2965*s[80])/18 - 1479*s[82] + (7*s[83])/2 - 221*s[84] - 344*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((-63*s[2])/4 - (2165*s[3])/24 - (108527*s[4])/48 - (13957*s[5])/8 - 
       (206135*s[6])/48 - (33846329*s[7])/864 + (3991397*s[8])/1296 + 
       (21459283*s[9])/648 + (3472543*s[10])/324 + (37068473*s[11])/864 + 
       (20141129*s[12])/432 + (8040035*s[13])/288 + (4863887*s[14])/864 + 
       (15115919*s[15])/288 + (597629*s[16])/9 + (44740651*s[17])/864 + 
       (3435005*s[18])/486 + (23696717*s[19])/3888 + (305930647*s[20])/3888 + 
       (221491145*s[21])/7776 - (160138249*s[22])/7776 - 
       (6185057*s[23])/144 - (168483395*s[24])/3888 + 
       (237713069*s[25])/4374 - (525213845*s[26])/17496 - (7*s[30])/6 + 
       2*s[31] + (4*s[32])/3 + 5*s[33] - (7*s[34])/2 + (9*s[35])/2 + 
       (2293*s[36])/36 - (1393*s[37])/18 - (16937*s[38])/12 + 
       (271103*s[39])/48 - (927745*s[40])/144 + (81615*s[41])/16 - 
       (1163951*s[42])/144 - (8460635*s[43])/1584 + (17689327*s[44])/3168 - 
       (5164393*s[45])/792 + (77781331*s[46])/1584 - (14252153*s[47])/9504 - 
       (14662343*s[48])/9504 + (231899303*s[49])/9504 - (3785765*s[50])/99 - 
       (52812079*s[51])/9504 - (41537209*s[52])/9504 + (7869848*s[53])/297 - 
       (22403*s[54])/99 + (538356253*s[55])/3168 + (139668239*s[56])/3168 - 
       (39892049*s[57])/1188 + (701049859*s[58])/9504 - 
       (26451407*s[59])/352 - (23318382809*s[60])/57024 + 
       (5584156423*s[61])/256608 + 2*s[68] - 10*s[70] + (13*s[71])/3 - 
       (59*s[72])/3 - (5*s[73])/6 + (71*s[74])/4 - (69*s[75])/4 + 
       (8*s[76])/3 + (31*s[77])/2 - (89*s[78])/6 - (1829*s[79])/3 + 
       (2965*s[80])/18 - 1479*s[82] + (7*s[83])/2 - 221*s[84] - 344*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((-296*s[2])/9 - (1993*s[3])/12 - (17343*s[4])/8 - (1377923*s[5])/792 - 
       (2297545*s[6])/528 - (61845545*s[7])/1584 + (14159719*s[8])/4752 + 
       (14219087*s[9])/432 + (2399849*s[10])/216 + (134887541*s[11])/3168 + 
       (145542281*s[12])/3168 + (21597203*s[13])/792 + (3419957*s[14])/528 + 
       (22826599*s[15])/432 + (26415539*s[16])/396 + (55850737*s[17])/1056 + 
       (9225757*s[18])/1296 + (8072867*s[19])/1296 + (1133073269*s[20])/
        14256 + (205519159*s[21])/7128 - (145782557*s[22])/7128 - 
       (128631155*s[23])/3168 - (1243225991*s[24])/28512 + 
       (13744249909*s[25])/256608 - (7666847647*s[26])/256608 - s[30] - 
       (2*s[31])/3 - (5*s[32])/6 + (157*s[33])/36 - (106*s[34])/9 + 
       (473*s[35])/18 + (7285*s[36])/108 - (203*s[37])/54 - 
       (15565*s[38])/12 + (748909*s[39])/144 - (2578267*s[40])/432 + 
       (690487*s[41])/144 - (3188729*s[42])/432 - (24273617*s[43])/4752 + 
       (50579479*s[44])/9504 - (15793997*s[45])/2376 + (8524359*s[46])/176 - 
       (32874203*s[47])/28512 - (58915097*s[48])/28512 + 
       (671474141*s[49])/28512 - (89909209*s[50])/2376 - 
       (146529973*s[51])/28512 - (112544557*s[52])/28512 + 
       (62556449*s[53])/2376 + (13447*s[54])/66 + (179053447*s[55])/1056 + 
       (1252345351*s[56])/28512 - (574283899*s[57])/21384 + 
       (18252976169*s[58])/256608 - (18586835075*s[59])/256608 - 
       (69413496971*s[60])/171072 + (50819013323*s[61])/2309472 + 4*s[68] - 
       4*s[69] - (68*s[70])/3 + (37*s[71])/6 - 14*s[72] + s[73]/6 + 
       (367*s[74])/18 - (185*s[75])/9 + (10*s[76])/3 + (82*s[77])/3 - 
       (31*s[78])/6 - (4451*s[79])/9 + (6875*s[80])/54 - (8887*s[82])/6 + 
       2*s[83] - 194*s[84] - (1016*s[85])/3) + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((-409*s[2])/12 - (1835*s[3])/24 - (100169*s[4])/48 - 
       (329575*s[5])/264 - (1774037*s[6])/528 - (302298221*s[7])/9504 + 
       (1361243*s[8])/528 + (241469*s[9])/9 + (33555*s[10])/4 + 
       (111674927*s[11])/3168 + (10255093*s[12])/264 + 
       (223236757*s[13])/9504 + (10043645*s[14])/3168 + 
       (36057311*s[15])/864 + (31795711*s[16])/594 + (383747483*s[17])/9504 + 
       (7289831*s[18])/1296 + (3285053*s[19])/648 + (890924317*s[20])/14256 + 
       (632033143*s[21])/28512 - (53213125*s[22])/3168 - 
       (176537161*s[23])/4752 - (83323025*s[24])/2376 + 
       (5805676691*s[25])/128304 - (1555037707*s[26])/64152 - (2*s[28])/3 + 
       s[29] - s[30]/6 - 12*s[31] + (37*s[32])/12 - (145*s[33])/24 + 
       (59*s[34])/3 + (85*s[35])/6 + (3037*s[36])/36 - (319*s[37])/12 - 
       (5627*s[38])/4 + (256759*s[39])/48 - (869065*s[40])/144 + 
       (231817*s[41])/48 - (1090571*s[42])/144 - (7816775*s[43])/1584 + 
       (8229215*s[44])/1584 - (248639*s[45])/44 + (69215105*s[46])/1584 - 
       (6712375*s[47])/4752 - (872975*s[48])/594 + (108480193*s[49])/4752 - 
       (13529477*s[50])/396 - (12543793*s[51])/2376 - (4934843*s[52])/1188 + 
       (110425765*s[53])/4752 + (40679*s[54])/99 + (4885952*s[55])/33 + 
       (180679063*s[56])/4752 - (494692921*s[57])/14256 + 
       (1425948727*s[58])/21384 - (723539351*s[59])/10692 - 
       (10394890357*s[60])/28512 + (7225173539*s[61])/384912 + s[64] + 
       s[65]/3 - 2*s[66] + s[67] + (52*s[68])/3 - (22*s[69])/3 - 8*s[70] + 
       (25*s[71])/4 - (37*s[72])/3 + 20*s[73] + (287*s[74])/12 - 
       (251*s[75])/12 + 18*s[76] + (57*s[77])/2 + (8*s[78])/3 - 
       (1510*s[79])/3 + (541*s[80])/6 - 966*s[82] + (17*s[83])/2 - 
       289*s[84] - 316*s[85]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w]*(-28*s[2] - 82*s[3] - (7915*s[4])/4 - 
       (138645*s[5])/88 - (172555*s[6])/44 - (55525505*s[7])/1584 + 
       (6404549*s[8])/2376 + (3205475*s[9])/108 + (2099495*s[10])/216 + 
       (15179909*s[11])/396 + (65785135*s[12])/1584 + (13029421*s[13])/528 + 
       (8662427*s[14])/1584 + (2255699*s[15])/48 + (5243259*s[16])/88 + 
       (36920789*s[17])/792 + (4279787*s[18])/648 + (3342967*s[19])/648 + 
       (506396377*s[20])/7128 + (370115147*s[21])/14256 - 
       (262915297*s[22])/14256 - (20308187*s[23])/528 - 
       (549649975*s[24])/14256 + (3094687375*s[25])/64152 - 
       (432575257*s[26])/16038 - s[30] - 2*s[31] + (11*s[32])/4 + 
       (33*s[33])/4 - 9*s[34] + 3*s[35] + (93*s[36])/2 + (27*s[37])/2 - 
       (4143*s[38])/4 + (16403*s[39])/4 - (18847*s[40])/4 + (30705*s[41])/8 - 
       (46643*s[42])/8 - (179929*s[43])/44 + (183657*s[44])/44 - 
       (1376533*s[45])/264 + (10024759*s[46])/264 - (109969*s[47])/132 - 
       (225337*s[48])/132 + (2445757*s[49])/132 - (2620659*s[50])/88 - 
       (1069337*s[51])/264 - (410171*s[52])/132 + (4089539*s[53])/198 + 
       (94507*s[54])/264 + (4383701*s[55])/33 + (13648787*s[56])/396 - 
       (52666309*s[57])/2376 + (99912299*s[58])/1782 - 
       (101953229*s[59])/1782 - (503804545*s[60])/1584 + 
       (2202480289*s[61])/128304 - s[64]/2 - (9*s[65])/4 - 3*s[66] + 
       8*s[67] + 18*s[68] - (17*s[70])/2 + (45*s[71])/4 - 10*s[72] - 
       13*s[73] + 10*s[74] - (23*s[75])/2 + (27*s[76])/2 + (29*s[77])/2 + 
       7*s[78] - 399*s[79] + (155*s[80])/3 - 977*s[82] + (15*s[83])/4 - 
       (453*s[84])/2 - 316*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*(-30*s[2] - (341*s[3])/4 - 
       (11851*s[4])/8 - (110545*s[5])/88 - (809077*s[6])/264 - 
       (14679757*s[7])/528 + (4857241*s[8])/2376 + (1271147*s[9])/54 + 
       (1758139*s[10])/216 + (24041399*s[11])/792 + (51649355*s[12])/1584 + 
       (30727837*s[13])/1584 + (7426597*s[14])/1584 + (5428423*s[15])/144 + 
       (37757237*s[16])/792 + (30069569*s[17])/792 + (3211585*s[18])/648 + 
       (3015635*s[19])/648 + (101097149*s[20])/1782 + 
       (294794569*s[21])/14256 - (208268993*s[22])/14256 - 
       (43668149*s[23])/1584 - (448014119*s[24])/14256 + 
       (610148477*s[25])/16038 - (682256623*s[26])/32076 - 4*s[32] - 
       s[33]/2 - 14*s[34] + 13*s[35] + (109*s[36])/2 + (83*s[37])/4 - 
       (5387*s[38])/6 + (83197*s[39])/24 - (94585*s[40])/24 + 
       (25677*s[41])/8 - (116543*s[42])/24 - (312237*s[43])/88 + 
       (1904315*s[44])/528 - (1155475*s[45])/264 + (1411561*s[46])/44 - 
       (311359*s[47])/528 - (297643*s[48])/176 + (2879793*s[49])/176 - 
       (3345095*s[50])/132 - (5354045*s[51])/1584 - (1330159*s[52])/528 + 
       (6912359*s[53])/396 + (32702*s[54])/33 + (177444515*s[55])/1584 + 
       (44534563*s[56])/1584 - (9520169*s[57])/594 + (661068035*s[58])/
        14256 - (677950487*s[59])/14256 - (860661727*s[60])/3168 + 
       (911402695*s[61])/64152 + 9*s[68] - 9*s[69] - 24*s[70] + (9*s[71])/2 - 
       12*s[72] + 11*s[74] - 11*s[75] + 6*s[76] + 31*s[77] - s[78] - 
       262*s[79] + (233*s[80])/6 - 1004*s[82] - 144*s[84] - 300*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((-71*s[2])/2 - (677*s[3])/4 - (16083*s[4])/8 - (25097*s[5])/22 - 
       (313833*s[6])/88 - (50090693*s[7])/1584 + (1939793*s[8])/792 + 
       (477883*s[9])/18 + (315163*s[10])/36 + (18626545*s[11])/528 + 
       (5154013*s[12])/132 + (37716205*s[13])/1584 + (1975357*s[14])/528 + 
       (5886323*s[15])/144 + (5283559*s[16])/99 + (63172829*s[17])/1584 + 
       (148088*s[18])/27 + (1145213*s[19])/216 + (149230721*s[20])/2376 + 
       (35204185*s[21])/1584 - (79237951*s[22])/4752 - (3403391*s[23])/99 - 
       (42461233*s[24])/1188 + (321416107*s[25])/7128 - 
       (172897819*s[26])/7128 - 28*s[29] + 2*s[30] - 6*s[31] - 7*s[32] + 
       (57*s[33])/4 - 29*s[34] - 42*s[35] + (47*s[36])/3 + (2*s[37])/3 - 
       995*s[38] + (13837*s[39])/4 - (48899*s[40])/12 + (12859*s[41])/4 - 
       (57397*s[42])/12 - (449149*s[43])/132 + (478801*s[44])/132 - 
       (503953*s[45])/132 + (1920379*s[46])/66 - (139165*s[47])/198 - 
       (702479*s[48])/396 + (3133747*s[49])/198 - (744814*s[50])/33 - 
       (1348159*s[51])/396 - (541415*s[52])/198 + (1453795*s[53])/99 + 
       (63703*s[54])/66 + (12664679*s[55])/132 + (831139*s[56])/33 - 
       (3212681*s[57])/132 + (53524723*s[58])/1188 - (53104717*s[59])/1188 - 
       (589443023*s[60])/2376 + (33437330*s[61])/2673 - 11*s[62] - 2*s[65] - 
       4*s[66] + 6*s[67] - 6*s[68] + 16*s[69] - 74*s[70] + 5*s[71] + 
       14*s[72] + 12*s[73] + (11*s[74])/2 - s[75]/2 - 3*s[76] + 73*s[77] + 
       46*s[78] - 448*s[79] + (433*s[80])/3 + s[81]/3 - 1210*s[82] + 
       39*s[83] - 210*s[84] - 296*s[85]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*((-55*s[2])/2 - 
       (235*s[3])/4 - (9331*s[4])/8 - (36229*s[5])/44 - (206191*s[6])/88 - 
       (10967041*s[7])/528 + (1125431*s[8])/792 + (158549*s[9])/9 + 
       (104579*s[10])/18 + (12327311*s[11])/528 + (3415201*s[12])/132 + 
       (8305537*s[13])/528 + (1734023*s[14])/528 + (1273207*s[15])/48 + 
       (4643269*s[16])/132 + (4604915*s[17])/176 + (98110*s[18])/27 + 
       (746035*s[19])/216 + (100406395*s[20])/2376 + (71956997*s[21])/4752 - 
       (52561669*s[22])/4752 - (1335001*s[23])/66 - (28453057*s[24])/1188 + 
       (628590079*s[25])/21384 - (344351071*s[26])/21384 + 13*s[30] - 
       19*s[32] + (25*s[33])/2 - 11*s[34] - 42*s[35] + (47*s[36])/3 + 
       (2*s[37])/3 - 995*s[38] + (13837*s[39])/4 - (48899*s[40])/12 + 
       (12859*s[41])/4 - (57397*s[42])/12 - (449149*s[43])/132 + 
       (478801*s[44])/132 - (503953*s[45])/132 + (1920379*s[46])/66 - 
       (139165*s[47])/198 - (702479*s[48])/396 + (3133747*s[49])/198 - 
       (744814*s[50])/33 - (1348159*s[51])/396 - (541415*s[52])/198 + 
       (1453795*s[53])/99 + (63703*s[54])/66 + (12664679*s[55])/132 + 
       (831139*s[56])/33 - (3212681*s[57])/132 + (53524723*s[58])/1188 - 
       (53104717*s[59])/1188 - (589443023*s[60])/2376 + 
       (33437330*s[61])/2673 - 11*s[62] - 2*s[65] - 4*s[66] + 6*s[67] - 
       6*s[68] + 16*s[69] - 74*s[70] + 5*s[71] + 14*s[72] + 12*s[73] + 
       (11*s[74])/2 - s[75]/2 - 3*s[76] + 73*s[77] + 46*s[78] - 448*s[79] + 
       (433*s[80])/3 + s[81]/3 - 1210*s[82] + 39*s[83] - 210*s[84] - 
       296*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - v]*((-1249*s[2])/36 - (2743*s[3])/24 - 
       (26653*s[4])/16 - (47896*s[5])/33 - (11081501*s[6])/3168 - 
       (55729279*s[7])/1782 + (202745627*s[8])/85536 + 
       (205343545*s[9])/7776 + (34617661*s[10])/3888 + 
       (1944029291*s[11])/57024 + (2096179867*s[12])/57024 + 
       (6470678*s[13])/297 + (153598807*s[14])/28512 + (4567835*s[15])/108 + 
       (15883795*s[16])/297 + (2420290099*s[17])/57024 + 
       (67701835*s[18])/11664 + (28277443*s[19])/5832 + 
       (16381364245*s[20])/256608 + (5981202781*s[21])/256608 - 
       (2104606477*s[22])/128304 - (617982619*s[23])/19008 - 
       (17893138051*s[24])/513216 + (197514233423*s[25])/4618944 - 
       (110791890215*s[26])/4618944 - (5*s[30])/9 - 7*s[31] + s[32]/2 - 
       (35*s[33])/8 - (31*s[34])/9 - (37*s[35])/9 + (1250*s[36])/27 - 
       (5293*s[37])/216 - (1899*s[38])/2 + (283141*s[39])/72 - 
       (973183*s[40])/216 + (258313*s[41])/72 - (606451*s[42])/108 - 
       (4550149*s[43])/1188 + (19072975*s[44])/4752 - (12003643*s[45])/2376 + 
       (29121743*s[46])/792 - (26130085*s[47])/28512 - 
       (43023511*s[48])/28512 + (125556469*s[49])/7128 - 
       (136038103*s[50])/4752 - (6871181*s[51])/1782 - 
       (42732145*s[52])/14256 + (94750783*s[53])/4752 - (278957*s[54])/1584 + 
       (407201797*s[55])/3168 + (481927033*s[56])/14256 - 
       (908016229*s[57])/42768 + (1743384653*s[58])/32076 - 
       (1767847373*s[59])/32076 - (26247064259*s[60])/85536 + 
       (19512035327*s[61])/1154736 - (34*s[70])/3 + 2*s[71] - 14*s[72] - 
       2*s[73] + (233*s[74])/18 - (130*s[75])/9 + 14*s[76] + 13*s[77] - 
       (26*s[78])/3 - (3286*s[79])/9 + (2708*s[80])/27 - (16771*s[82])/12 - 
       162*s[84] - (880*s[85])/3) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((-2947*s[2])/36 - (965*s[3])/72 - 
       (457433*s[4])/144 - (3566263*s[5])/1584 - (9340673*s[6])/1584 - 
       (55436107*s[7])/1056 + (6725569*s[8])/1584 + (355361*s[9])/8 + 
       (1984319*s[10])/144 + (91543927*s[11])/1584 + (200666309*s[12])/3168 + 
       (121309597*s[13])/3168 + (21438203*s[14])/3168 + (6634891*s[15])/96 + 
       (139848305*s[16])/1584 + (4455817*s[17])/66 + (4236859*s[18])/432 + 
       (3163727*s[19])/432 + (495550535*s[20])/4752 + 
       (361293815*s[21])/9504 - (263384537*s[22])/9504 - 
       (21554961*s[23])/352 - (180028025*s[24])/3168 + 
       (3138858167*s[25])/42768 - (216319621*s[26])/5346 - (2*s[28])/3 - 
       9*s[29] - (11*s[30])/9 - (373*s[31])/9 + (178*s[32])/9 - 
       (1291*s[33])/72 + (388*s[34])/9 + (1091*s[35])/18 + (2363*s[36])/18 - 
       (493*s[37])/3 - (6116*s[38])/3 + (293713*s[39])/36 - 
       (331379*s[40])/36 + (262103*s[41])/36 - (212263*s[42])/18 - 
       (2825587*s[43])/396 + (24220517*s[44])/3168 - (6271379*s[45])/792 + 
       (16726511*s[46])/264 - (26007337*s[47])/9504 - (10960129*s[48])/9504 + 
       (309544819*s[49])/9504 - (38678147*s[50])/792 - 
       (77480309*s[51])/9504 - (62160005*s[52])/9504 + 
       (79350019*s[53])/2376 - (738391*s[54])/792 + (2016481249*s[55])/9504 + 
       (537544057*s[56])/9504 - (875739365*s[57])/14256 + 
       (8562637109*s[58])/85536 - (8633781011*s[59])/85536 - 
       (29670251701*s[60])/57024 + (21033444989*s[61])/769824 - (5*s[62])/3 + 
       s[64] - (5*s[65])/3 + (32*s[66])/3 - 10*s[67] + s[68] - (79*s[69])/3 - 
       11*s[70] + (23*s[71])/3 - (299*s[72])/9 + (49*s[73])/3 + 
       (1373*s[74])/36 - (1295*s[75])/36 + (203*s[76])/9 + (59*s[77])/2 - 
       (418*s[78])/9 - 899*s[79] + (1933*s[80])/9 + s[81]/6 - 809*s[82] + 
       (74*s[83])/3 - (964*s[84])/3 - (844*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((47*s[2])/3 - (563*s[3])/3 - (9388*s[4])/3 - (78981*s[5])/44 - 
       (666841*s[6])/132 - (36333497*s[7])/792 + (1142264*s[8])/297 + 
       (1039411*s[9])/27 + (319949*s[10])/27 + (40048469*s[11])/792 + 
       (5514902*s[12])/99 + (8866889*s[13])/264 + (3851885*s[14])/792 + 
       (4357885*s[15])/72 + (1695435*s[16])/22 + (46314529*s[17])/792 + 
       (654026*s[18])/81 + (1165007*s[19])/162 + (321440947*s[20])/3564 + 
       (226165055*s[21])/7128 - (171539815*s[22])/7128 - (1186711*s[23])/22 - 
       (89877949*s[24])/1782 + (4179144077*s[25])/64152 - 
       (2238766199*s[26])/64152 - (10*s[30])/3 + (40*s[31])/3 + 
       (17*s[32])/3 + (107*s[33])/3 - (76*s[34])/3 + 35*s[35] + 
       (177*s[36])/2 - (883*s[37])/9 - (9379*s[38])/6 + (144707*s[39])/24 - 
       (55093*s[40])/8 + (131969*s[41])/24 - (68691*s[42])/8 - 
       (1497997*s[43])/264 + (3090511*s[44])/528 - (2687347*s[45])/396 + 
       (40530227*s[46])/792 - (2576597*s[47])/1584 - (2642663*s[48])/1584 + 
       (40129631*s[49])/1584 - (2611799*s[50])/66 - (3215833*s[51])/528 - 
       (7695541*s[52])/1584 + (16256635*s[53])/594 - (105416*s[54])/99 + 
       (277138967*s[55])/1584 + (219830071*s[56])/4752 - 
       (135653413*s[57])/3564 + (3323523173*s[58])/42768 - 
       (3362063027*s[59])/42768 - (4028918185*s[60])/9504 + 
       (8701582931*s[61])/384912 - 4*s[62] - s[64] - (5*s[65])/3 - 10*s[66] + 
       (34*s[67])/3 + 14*s[68] + 8*s[69] - (112*s[70])/3 + 11*s[71] - 
       (2*s[72])/3 + 13*s[73] + (41*s[74])/2 - (43*s[75])/2 + (40*s[76])/3 + 
       (155*s[77])/3 + (85*s[78])/3 - (1990*s[79])/3 + (1357*s[80])/9 + 
       s[81]/6 - 552*s[82] - (9*s[83])/2 - 355*s[84] - 276*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((-85*s[2])/3 - (1321*s[3])/12 - (20527*s[4])/24 - (49817*s[5])/66 - 
       (546215*s[6])/264 - (82477973*s[7])/4752 + (1014353*s[8])/792 + 
       (175483*s[9])/12 + (94865*s[10])/18 + (29715245*s[11])/1584 + 
       (5274815*s[12])/264 + (56275399*s[13])/4752 + (5860199*s[14])/1584 + 
       (10249103*s[15])/432 + (71152373*s[16])/2376 + 
       (116030477*s[17])/4752 + (1031755*s[18])/324 + (1776637*s[19])/648 + 
       (256987657*s[20])/7128 + (187018717*s[21])/14256 - 
       (43048231*s[22])/4752 - (19496291*s[23])/1188 - (7829087*s[24])/396 + 
       (1495525745*s[25])/64152 - (848296883*s[26])/64152 + s[28] - 
       12*s[29] + (13*s[30])/3 - (14*s[31])/3 - s[32]/3 + (23*s[33])/2 - 
       (95*s[34])/3 + 18*s[35] - (241*s[36])/18 - (389*s[37])/9 - 
       (2569*s[38])/6 + (15121*s[39])/8 - (167621*s[40])/72 + 
       (44569*s[41])/24 - (197863*s[42])/72 - (1482271*s[43])/792 + 
       (3214595*s[44])/1584 - (1082783*s[45])/396 + (15271259*s[46])/792 - 
       (2312341*s[47])/4752 - (3762955*s[48])/4752 + (40179727*s[49])/4752 - 
       (1497647*s[50])/99 - (9994031*s[51])/4752 - (7380821*s[52])/4752 + 
       (12311051*s[53])/1188 - (77161*s[54])/198 + (11915653*s[55])/176 + 
       (3267303*s[56])/176 - (6531599*s[57])/594 + (408768913*s[58])/14256 - 
       (405481531*s[59])/14256 - (4627719865*s[60])/28512 + 
       (132694261*s[61])/14256 - 4*s[62] + s[64] - 14*s[66] + 12*s[67] - 
       12*s[68] + 36*s[69] - 48*s[70] - 2*s[71] + 8*s[72] - (19*s[73])/3 - 
       s[74]/2 + 3*s[75] - 2*s[76] + (124*s[77])/3 + (143*s[78])/3 - 
       394*s[79] + (1538*s[80])/9 + s[81]/6 - 1112*s[82] + (23*s[83])/2 - 
       117*s[84] - 272*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u]*((-241*s[2])/3 - (209*s[3])/6 - 
       (37001*s[4])/12 - (150751*s[5])/66 - (189010*s[6])/33 - 
       (119561965*s[7])/2376 + (2446019*s[8])/594 + (4596329*s[9])/108 + 
       (348955*s[10])/27 + (5469853*s[11])/99 + (47871965*s[12])/792 + 
       (86711321*s[13])/2376 + (5108393*s[14])/792 + (14336359*s[15])/216 + 
       (100240267*s[16])/1188 + (19224098*s[17])/297 + (784226*s[18])/81 + 
       (2130259*s[19])/324 + (355609675*s[20])/3564 + (87165839*s[21])/2376 - 
       (188875925*s[22])/7128 - (143218849*s[23])/2376 - 
       (382602083*s[24])/7128 + (1499300773*s[25])/21384 - 
       (831675247*s[26])/21384 - s[28] - 2*s[30] - (152*s[31])/3 + 14*s[32] - 
       (55*s[33])/2 + (200*s[34])/3 + (194*s[35])/3 + (2327*s[36])/18 - 
       (2575*s[37])/18 - (3495*s[38])/2 + (57309*s[39])/8 - 
       (576449*s[40])/72 + (153061*s[41])/24 - (748507*s[42])/72 - 
       (455921*s[43])/72 + (952825*s[44])/144 - (63622*s[45])/9 + 
       (4043503*s[46])/72 - (1059263*s[47])/432 - (363641*s[48])/432 + 
       (12254693*s[49])/432 - (775337*s[50])/18 - (3071053*s[51])/432 - 
       (2480599*s[52])/432 + (3236941*s[53])/108 - (13153*s[54])/9 + 
       (27304843*s[55])/144 + (7284989*s[56])/144 - (2796671*s[57])/54 + 
       (38011033*s[58])/432 - (12843317*s[59])/144 - (1186334447*s[60])/
        2592 + (284866537*s[61])/11664 - (5*s[62])/3 - s[64] - s[65] + 
       12*s[66] - (26*s[67])/3 + 16*s[68] - 38*s[69] + (8*s[70])/3 + 
       (32*s[71])/3 - (116*s[72])/3 - (53*s[73])/3 + 32*s[74] - 36*s[75] + 
       40*s[76] + (112*s[77])/3 - (187*s[78])/3 - (1852*s[79])/3 + 
       (698*s[80])/9 + s[81]/6 - 438*s[82] + (31*s[83])/2 - 295*s[84] - 
       268*s[85]) + HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((67*s[2])/6 - (2815*s[3])/12 - (64643*s[4])/12 - (902225*s[5])/264 - 
       (306034*s[6])/33 - (393007691*s[7])/4752 + (8085025*s[8])/1188 + 
       (15050887*s[9])/216 + (4647581*s[10])/216 + (36114535*s[11])/396 + 
       (158414227*s[12])/1584 + (288120319*s[13])/4752 + 
       (14308825*s[14])/1584 + (47554601*s[15])/432 + (41403289*s[16])/297 + 
       (63469477*s[17])/594 + (1169081*s[18])/81 + (8474369*s[19])/648 + 
       (1160380655*s[20])/7128 + (278125261*s[21])/4752 - 
       (618962869*s[22])/14256 - (461429411*s[23])/4752 - 
       (1297954129*s[24])/14256 + (5001321803*s[25])/42768 - 
       (2720021477*s[26])/42768 - 2*s[28] - 19*s[29] - (121*s[30])/6 - 
       (62*s[31])/3 - (7*s[32])/3 + (851*s[33])/8 - (91*s[34])/6 + 
       136*s[35] + (1639*s[36])/9 - (3661*s[37])/18 - (17827*s[38])/6 + 
       (22653*s[39])/2 - (228005*s[40])/18 + (120005*s[41])/12 - 
       (586349*s[42])/36 - (1967071*s[43])/198 + (16491899*s[44])/1584 - 
       (4331933*s[45])/396 + (34419937*s[46])/396 - (17671039*s[47])/4752 - 
       (6515191*s[48])/4752 + (210688525*s[49])/4752 - (6553334*s[50])/99 - 
       (53764055*s[51])/4752 - (44090867*s[52])/4752 + 
       (54327023*s[53])/1188 - (263264*s[54])/99 + (51222665*s[55])/176 + 
       (123547397*s[56])/1584 - (22332461*s[57])/264 + 
       (1961929985*s[58])/14256 - (1984740371*s[59])/14256 - 
       (20197344547*s[60])/28512 + (4806396217*s[61])/128304 - 2*s[64] - 
       (7*s[65])/2 + s[66] + 3*s[67] - 4*s[68] - 3*s[69] - 77*s[70] + 
       (57*s[71])/2 - 46*s[72] + (50*s[73])/3 + 46*s[74] - (107*s[75])/2 + 
       31*s[76] + (361*s[77])/3 - (112*s[78])/3 - 1166*s[79] + 
       (2057*s[80])/9 + s[81]/3 - 14*s[82] + 16*s[83] - 444*s[84] - 
       260*s[85]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      (-86*s[2] - (1669*s[3])/12 - (26897*s[4])/6 - (865285*s[5])/264 - 
       (1118881*s[6])/132 - (43651045*s[7])/594 + (4788959*s[8])/792 + 
       (249465*s[9])/4 + (331049*s[10])/18 + (128170811*s[11])/1584 + 
       (47030503*s[12])/528 + (63705907*s[13])/1188 + (1920793*s[14])/198 + 
       (2592191*s[15])/27 + (72713549*s[16])/594 + (439552115*s[17])/4752 + 
       (2355929*s[18])/162 + (2882495*s[19])/324 + (1042405609*s[20])/7128 + 
       (191773831*s[21])/3564 - (46082725*s[22])/1188 - 
       (427986233*s[23])/4752 - (122544793*s[24])/1584 + 
       (13154704693*s[25])/128304 - (7331160913*s[26])/128304 - 
       (785*s[30])/6 - (121*s[31])/3 + (23*s[32])/2 - (235*s[33])/8 + 
       (491*s[34])/6 + 136*s[35] + (1639*s[36])/9 - (3661*s[37])/18 - 
       (17827*s[38])/6 + (22653*s[39])/2 - (228005*s[40])/18 + 
       (120005*s[41])/12 - (586349*s[42])/36 - (1967071*s[43])/198 + 
       (16491899*s[44])/1584 - (4331933*s[45])/396 + (34419937*s[46])/396 - 
       (17671039*s[47])/4752 - (6515191*s[48])/4752 + 
       (210688525*s[49])/4752 - (6553334*s[50])/99 - (53764055*s[51])/4752 - 
       (44090867*s[52])/4752 + (54327023*s[53])/1188 - (263264*s[54])/99 + 
       (51222665*s[55])/176 + (123547397*s[56])/1584 - (22332461*s[57])/264 + 
       (1961929985*s[58])/14256 - (1984740371*s[59])/14256 - 
       (20197344547*s[60])/28512 + (4806396217*s[61])/128304 - 2*s[64] - 
       (7*s[65])/2 + s[66] + 3*s[67] - 4*s[68] - 3*s[69] - 77*s[70] + 
       (57*s[71])/2 - 46*s[72] + (50*s[73])/3 + 46*s[74] - (107*s[75])/2 + 
       31*s[76] + (361*s[77])/3 - (112*s[78])/3 - 1166*s[79] + 
       (2057*s[80])/9 + s[81]/3 - 14*s[82] + 16*s[83] - 444*s[84] - 
       260*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[v, u, w]*
      ((-64*s[2])/3 - 144*s[3] + 280*s[4] - (8032*s[5])/33 - 
       (15304*s[6])/33 - (571628*s[7])/297 - (192968*s[8])/891 + 
       (116456*s[9])/81 + (123016*s[10])/81 + (541892*s[11])/297 + 
       (357124*s[12])/297 + (36584*s[13])/99 + (800936*s[14])/297 + 
       (32276*s[15])/9 + (427168*s[16])/99 + (1602400*s[17])/297 + 
       (159532*s[18])/243 + (123332*s[19])/243 + (16883840*s[20])/2673 + 
       (7802372*s[21])/2673 - (2243248*s[22])/2673 + (317132*s[23])/99 - 
       (9395392*s[24])/2673 + (27948776*s[25])/24057 - 
       (41408564*s[26])/24057 + (64*s[30])/3 - (64*s[34])/3 - (256*s[35])/3 - 
       (448*s[36])/9 + (1168*s[37])/9 + (512*s[38])/3 - (2416*s[39])/3 + 
       (7120*s[40])/9 - 656*s[41] + (12128*s[42])/9 + (14528*s[43])/99 - 
       (23192*s[44])/99 - (75296*s[45])/99 + (17984*s[46])/11 + 
       (253624*s[47])/297 - (451784*s[48])/297 - (156796*s[49])/297 - 
       (135328*s[50])/99 + (312212*s[51])/297 + (229208*s[52])/297 + 
       (113224*s[53])/99 + (13624*s[54])/33 + (1058008*s[55])/99 + 
       (979780*s[56])/297 + (12812648*s[57])/891 - (3360508*s[58])/2673 + 
       (3982084*s[59])/2673 - (18414130*s[60])/891 + (54960056*s[61])/24057 - 
       (32*s[74])/3 + (32*s[75])/3 + (512*s[79])/3 - (256*s[80])/9 - 
       1408*s[82] - 256*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*((-907*s[2])/36 - 
       (1149*s[3])/8 - (45229*s[4])/16 - (300937*s[5])/132 - 
       (1117859*s[6])/198 - (1427768989*s[7])/28512 + (10279780*s[8])/2673 + 
       (164434601*s[9])/3888 + (27131435*s[10])/1944 + 
       (389743159*s[11])/7128 + (1685439923*s[12])/28512 + 
       (335137981*s[13])/9504 + (227730367*s[14])/28512 + 
       (58319053*s[15])/864 + (202658771*s[16])/2376 + 
       (239740357*s[17])/3564 + (108185833*s[18])/11664 + 
       (44451235*s[19])/5832 + (3251508185*s[20])/32076 + 
       (9521258191*s[21])/256608 - (6742845047*s[22])/256608 - 
       (511491851*s[23])/9504 - (14211479309*s[24])/256608 + 
       (158917799911*s[25])/2309472 - (88973319469*s[26])/2309472 - 
       (26*s[30])/9 + (23*s[31])/3 + (5*s[32])/3 + (569*s[33])/24 - 
       (133*s[34])/9 + (374*s[35])/9 + (9731*s[36])/108 - (7877*s[37])/108 - 
       (5739*s[38])/4 + (838031*s[39])/144 - (2861753*s[40])/432 + 
       (762593*s[41])/144 - (3606391*s[42])/432 - (25732987*s[43])/4752 + 
       (54309821*s[44])/9504 - (7851299*s[45])/1188 + (79511867*s[46])/1584 - 
       (45425665*s[47])/28512 - (43829851*s[48])/28512 + 
       (709112335*s[49])/28512 - (92772311*s[50])/2376 - 
       (164698079*s[51])/28512 - (129310559*s[52])/28512 + 
       (21399253*s[53])/792 - (39761*s[54])/198 + (548321095*s[55])/3168 + 
       (1290608213*s[56])/28512 - (762859583*s[57])/21384 + 
       (19449433519*s[58])/256608 - (19754104849*s[59])/256608 - 
       (71215725157*s[60])/171072 + (51557190499*s[61])/2309472 - s[62]/6 + 
       4*s[68] - 4*s[69] - 18*s[70] + (23*s[71])/6 - 18*s[72] + s[73]/6 + 
       (220*s[74])/9 - (455*s[75])/18 - (16*s[76])/3 + (80*s[77])/3 - 
       (55*s[78])/6 - (5359*s[79])/9 + (4472*s[80])/27 - (6161*s[82])/6 - 
       4*s[83] - 184*s[84] - (760*s[85])/3) + HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*((-37*s[2])/2 - 
       (835*s[3])/4 - (15589*s[4])/8 - (62033*s[5])/44 - (303073*s[6])/88 - 
       (5639901*s[7])/176 + (6347207*s[8])/2376 + (724238*s[9])/27 + 
       (240796*s[10])/27 + (55160075*s[11])/1584 + (7455017*s[12])/198 + 
       (35139089*s[13])/1584 + (6923663*s[14])/1584 + (6317731*s[15])/144 + 
       (5425697*s[16])/99 + (68782877*s[17])/1584 + (475129*s[18])/81 + 
       (3352399*s[19])/648 + (459846235*s[20])/7128 + 
       (331971413*s[21])/14256 - (237635245*s[22])/14256 - 
       (3560686*s[23])/99 - (126362677*s[24])/3564 + (2835668047*s[25])/
        64152 - (1568853139*s[26])/64152 - 7*s[30] - 4*s[31] + (23*s[33])/2 - 
       7*s[34] - 9*s[35] + 102*s[36] - (29*s[37])/6 - 982*s[38] + 
       (15989*s[39])/4 - (17885*s[40])/4 + (14349*s[41])/4 - 
       (23003*s[42])/4 - (14961*s[43])/4 + (7627*s[44])/2 - 
       (56357*s[45])/12 + (105212*s[46])/3 - 1164*s[47] - (3043*s[48])/4 + 
       (34049*s[49])/2 - 27383*s[50] - (47377*s[51])/12 - (12305*s[52])/4 + 
       (698011*s[53])/36 - (2117*s[54])/6 + (494627*s[55])/4 + 
       (283808*s[56])/9 - (2248205*s[57])/108 + (16802749*s[58])/324 - 
       (17295067*s[59])/324 - (20955751*s[60])/72 + (22948343*s[61])/1458 - 
       s[62] + 6*s[70] - s[71] - 18*s[72] + 10*s[73] + (31*s[74])/2 - 
       (31*s[75])/2 - 2*s[76] + 7*s[77] - 22*s[78] - 272*s[79] + 
       (199*s[80])/3 - 876*s[82] + 6*s[83] - 156*s[84] - 248*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((-67*s[2])/2 - (37*s[3])/4 - (12613*s[4])/8 - (36353*s[5])/22 - 
       (308571*s[6])/88 - (16705361*s[7])/528 + (624161*s[8])/264 + 
       (80927*s[9])/3 + (106453*s[10])/12 + (6030757*s[11])/176 + 
       (1610585*s[12])/44 + (11456857*s[13])/528 + (1011257*s[14])/176 + 
       (696317*s[15])/16 + (3564479*s[16])/66 + (23029289*s[17])/528 + 
       (104083*s[18])/18 + (351149*s[19])/72 + (51253973*s[20])/792 + 
       (12642341*s[21])/528 - (26343235*s[22])/1584 - (2112673*s[23])/66 - 
       (13954771*s[24])/396 + (101732989*s[25])/2376 - 
       (57804673*s[26])/2376 - 8*s[30] - 14*s[31] + 6*s[32] - (59*s[33])/4 + 
       10*s[34] - 9*s[35] + 102*s[36] - (29*s[37])/6 - 982*s[38] + 
       (15989*s[39])/4 - (17885*s[40])/4 + (14349*s[41])/4 - 
       (23003*s[42])/4 - (14961*s[43])/4 + (7627*s[44])/2 - 
       (56357*s[45])/12 + (105212*s[46])/3 - 1164*s[47] - (3043*s[48])/4 + 
       (34049*s[49])/2 - 27383*s[50] - (47377*s[51])/12 - (12305*s[52])/4 + 
       (698011*s[53])/36 - (2117*s[54])/6 + (494627*s[55])/4 + 
       (283808*s[56])/9 - (2248205*s[57])/108 + (16802749*s[58])/324 - 
       (17295067*s[59])/324 - (20955751*s[60])/72 + (22948343*s[61])/1458 - 
       s[62] + 6*s[70] - s[71] - 18*s[72] + 10*s[73] + (31*s[74])/2 - 
       (31*s[75])/2 - 2*s[76] + 7*s[77] - 22*s[78] - 272*s[79] + 
       (199*s[80])/3 - 876*s[82] + 6*s[83] - 156*s[84] - 248*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((-1277*s[2])/36 - (1025*s[3])/8 - (87203*s[4])/48 - 
       (628843*s[5])/396 - (1374623*s[6])/352 - (11934759*s[7])/352 + 
       (8177501*s[8])/3168 + (8249287*s[9])/288 + (1369583*s[10])/144 + 
       (234131735*s[11])/6336 + (84163139*s[12])/2112 + 
       (18784883*s[13])/792 + (580177*s[14])/99 + (39492431*s[15])/864 + 
       (45771967*s[16])/792 + (290271251*s[17])/6336 + (346441*s[18])/54 + 
       (135175*s[19])/27 + (328026247*s[20])/4752 + (241491985*s[21])/9504 - 
       (168931735*s[22])/9504 - (227461675*s[23])/6336 - 
       (79112299*s[24])/2112 + (7927701787*s[25])/171072 - 
       (4475593801*s[26])/171072 + s[30]/3 - 7*s[31] + (35*s[32])/12 + 
       (329*s[33])/72 - (61*s[34])/9 - (20*s[35])/9 + (1318*s[36])/27 - 
       (8627*s[37])/216 - (5597*s[38])/6 + (281315*s[39])/72 - 
       (962129*s[40])/216 + (254981*s[41])/72 - (151763*s[42])/27 - 
       (4367651*s[43])/1188 + (9198235*s[44])/2376 - (11220599*s[45])/2376 + 
       (9235925*s[46])/264 - (29754125*s[47])/28512 - 
       (32952551*s[48])/28512 + (239946973*s[49])/14256 - 
       (128807981*s[50])/4752 - (55084853*s[51])/14256 - 
       (10837511*s[52])/3564 + (89714041*s[53])/4752 - (239813*s[54])/528 + 
       (384011701*s[55])/3168 + (114551957*s[56])/3564 - 
       (1011245237*s[57])/42768 + (6755390221*s[58])/128304 - 
       (6838659175*s[59])/128304 - (12387589997*s[60])/42768 + 
       (2302396931*s[61])/144342 - (17*s[70])/3 + 2*s[71] - 14*s[72] - 
       2*s[73] + (125*s[74])/9 - (277*s[75])/18 + 14*s[76] + (22*s[77])/3 - 
       (26*s[78])/3 - (3320*s[79])/9 + (2725*s[80])/27 - (12989*s[82])/12 - 
       162*s[84] - (710*s[85])/3) + HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w]*((3*s[2])/2 - (229*s[3])/4 - (25755*s[4])/8 - 
       (12614*s[5])/11 - (384205*s[6])/88 - (21588353*s[7])/528 + 
       (9022261*s[8])/2376 + (1847183*s[9])/54 + (265961*s[10])/27 + 
       (72841441*s[11])/1584 + (5155769*s[12])/99 + (50465383*s[13])/1584 + 
       (2532445*s[14])/1584 + (7402433*s[15])/144 + (13373447*s[16])/198 + 
       (75396415*s[17])/1584 + (580115*s[18])/81 + (3917237*s[19])/648 + 
       (554778911*s[20])/7128 + (379443547*s[21])/14256 - 
       (308814239*s[22])/14256 - (5375621*s[23])/99 - 
       (156169835*s[24])/3564 + (3870066851*s[25])/64152 - 
       (1996467155*s[26])/64152 + (3*s[28])/2 + 6*s[29] - 12*s[30] + 
       3*s[31] + (21*s[32])/2 - (117*s[33])/4 + 3*s[34] + 27*s[35] + 
       130*s[36] - (695*s[37])/6 - (3355*s[38])/2 + 6839*s[39] - 7843*s[40] + 
       (24675*s[41])/4 - (39771*s[42])/4 - (62045*s[43])/11 + 
       (145007*s[44])/22 - (363593*s[45])/66 + (1595857*s[46])/33 - 
       (75278*s[47])/33 - (44791*s[48])/66 + (880433*s[49])/33 - 
       (1643033*s[50])/44 - (933529*s[51])/132 - (187519*s[52])/33 + 
       (9723983*s[53])/396 - (80171*s[54])/132 + (5108474*s[55])/33 + 
       (4103314*s[56])/99 - (69500677*s[57])/1188 + (70267718*s[58])/891 - 
       (69984110*s[59])/891 - (39216566*s[60])/99 + (1268768227*s[61])/
        64152 + 4*s[64] + (9*s[65])/2 + 4*s[66] - 12*s[67] - 16*s[69] - 
       21*s[70] - (9*s[71])/2 - 18*s[72] + 66*s[73] + (105*s[74])/2 - 
       (57*s[75])/2 + 3*s[76] + 54*s[77] - 4*s[78] - 1000*s[79] + 
       (1003*s[80])/3 - 360*s[82] + 27*s[83] - 378*s[84] - 228*s[85]) + 
     HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-75*s[2])/2 + (729*s[3])/4 - (23179*s[4])/8 - (37193*s[5])/22 - 
       (422973*s[6])/88 - (23845523*s[7])/528 + (8762917*s[8])/2376 + 
       (2075855*s[9])/54 + (1263977*s[10])/108 + (79701691*s[11])/1584 + 
       (22112999*s[12])/396 + (54027673*s[13])/1584 + (7196155*s[14])/1584 + 
       (8356079*s[15])/144 + (29846737*s[16])/396 + (88265857*s[17])/1584 + 
       (1265845*s[18])/162 + (4464401*s[19])/648 + (631031051*s[20])/7128 + 
       (446553793*s[21])/14256 - (343569161*s[22])/14256 - 
       (10316839*s[23])/198 - (176579657*s[24])/3564 + 
       (1035652781*s[25])/16038 - (1105672225*s[26])/32076 - 3*s[30] - 
       12*s[31] + 15*s[32] - 3*s[33] + 15*s[34] + 27*s[35] + 130*s[36] - 
       (695*s[37])/6 - (3355*s[38])/2 + 6839*s[39] - 7843*s[40] + 
       (24675*s[41])/4 - (39771*s[42])/4 - (62045*s[43])/11 + 
       (145007*s[44])/22 - (363593*s[45])/66 + (1595857*s[46])/33 - 
       (75278*s[47])/33 - (44791*s[48])/66 + (880433*s[49])/33 - 
       (1643033*s[50])/44 - (933529*s[51])/132 - (187519*s[52])/33 + 
       (9723983*s[53])/396 - (80171*s[54])/132 + (5108474*s[55])/33 + 
       (4103314*s[56])/99 - (69500677*s[57])/1188 + (70267718*s[58])/891 - 
       (69984110*s[59])/891 - (39216566*s[60])/99 + (1268768227*s[61])/
        64152 + 4*s[64] + (9*s[65])/2 + 4*s[66] - 12*s[67] - 16*s[69] - 
       21*s[70] - (9*s[71])/2 - 18*s[72] + 66*s[73] + (105*s[74])/2 - 
       (57*s[75])/2 + 3*s[76] + 54*s[77] - 4*s[78] - 1000*s[79] + 
       (1003*s[80])/3 - 360*s[82] + 27*s[83] - 378*s[84] - 228*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((-94*s[2])/3 - (2917*s[3])/24 - (43211*s[4])/16 - (525661*s[5])/264 - 
       (2612281*s[6])/528 - (11911381*s[7])/264 + (8576905*s[8])/2376 + 
       (16449367*s[9])/432 + (5286371*s[10])/432 + (4887607*s[11])/99 + 
       (85051055*s[12])/1584 + (50811577*s[13])/1584 + (5048207*s[14])/792 + 
       (2182403*s[15])/36 + (121358851*s[16])/1584 + (47340467*s[17])/792 + 
       (2652551*s[18])/324 + (1124243*s[19])/162 + (1291160263*s[20])/14256 + 
       (232910033*s[21])/7128 - (338011643*s[22])/14256 - 
       (39915685*s[23])/792 - (709802717*s[24])/14256 + 
       (4019991047*s[25])/64152 - (4426040581*s[26])/128304 - s[28]/6 - 
       (17*s[30])/6 - 6*s[31] + (13*s[32])/3 - (39*s[33])/4 - 2*s[34] + 
       (38*s[35])/3 + (191*s[36])/3 - (2219*s[37])/18 - (4285*s[38])/3 + 
       (69995*s[39])/12 - (79207*s[40])/12 + (20689*s[41])/4 - 
       (33819*s[42])/4 - (222529*s[43])/44 + (242049*s[44])/44 - 
       (2388559*s[45])/396 + (4652311*s[46])/99 - (1560157*s[47])/792 - 
       (513067*s[48])/792 + (18480169*s[49])/792 - (4779527*s[50])/132 - 
       (4657189*s[51])/792 - (462652*s[52])/99 + (29792501*s[53])/1188 - 
       (100097*s[54])/99 + (126476347*s[55])/792 + (100668893*s[56])/2376 - 
       (36865132*s[57])/891 + (1562644417*s[58])/21384 - 
       (1579011223*s[59])/21384 - (1830352433*s[60])/4752 + 
       (1982442515*s[61])/96228 - s[65]/6 - (13*s[68])/3 + (19*s[69])/3 + 
       2*s[70] + (19*s[71])/6 - (70*s[72])/3 + (40*s[73])/3 + (181*s[74])/6 - 
       (169*s[75])/6 + (59*s[76])/3 + (4*s[77])/3 - (58*s[78])/3 - 
       (2036*s[79])/3 + (1717*s[80])/9 - 910*s[82] + (11*s[83])/4 - 
       (561*s[84])/2 - 228*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((-113*s[2])/4 - (1151*s[3])/8 - 
       (12305*s[4])/16 - (36423*s[5])/88 - (288701*s[6])/176 - 
       (13268947*s[7])/1056 + (4327355*s[8])/4752 + (281830*s[9])/27 + 
       (102164*s[10])/27 + (43939199*s[11])/3168 + (11913097*s[12])/792 + 
       (28944089*s[13])/3168 + (7002143*s[14])/3168 + (4737727*s[15])/288 + 
       (17050235*s[16])/792 + (53755481*s[17])/3168 + (367561*s[18])/162 + 
       (2738959*s[19])/1296 + (363041515*s[20])/14256 + 
       (257816165*s[21])/28512 - (186235165*s[22])/28512 - 
       (4887209*s[23])/396 - (102951283*s[24])/7128 + 
       (2239096801*s[25])/128304 - (1227069985*s[26])/128304 - 20*s[29] + 
       s[30]/2 - 7*s[32] - (3*s[33])/4 - (63*s[34])/2 - (69*s[35])/2 - 
       (151*s[36])/3 + (411*s[37])/4 - (7*s[38])/2 - (7*s[39])/2 - 
       (557*s[40])/3 + (1029*s[41])/4 + (38*s[42])/3 - (25835*s[43])/66 + 
       (178525*s[44])/528 - (62587*s[45])/88 + (1068335*s[46])/264 + 
       (541309*s[47])/1584 - (1676027*s[48])/1584 + (2657801*s[49])/1584 - 
       (229661*s[50])/66 - (230971*s[51])/1584 + (82427*s[52])/1584 + 
       (424651*s[53])/198 + (17665*s[54])/33 + (7925425*s[55])/528 + 
       (6341639*s[56])/1584 + (10095089*s[57])/2376 + 
       (58887775*s[58])/14256 - (54744805*s[59])/14256 - 
       (378901661*s[60])/9504 + (285972697*s[61])/128304 - 7*s[62] + s[65] + 
       2*s[66] - s[67] - 6*s[69] - 68*s[70] + 2*s[71] + 3*s[72] - 3*s[73] - 
       (25*s[74])/4 + (33*s[75])/4 - 10*s[76] + (145*s[77])/2 + 39*s[78] - 
       114*s[79] + (135*s[80])/2 + s[81]/3 - 678*s[82] + (39*s[83])/2 - 
       51*s[84] - 228*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((-75*s[2])/4 + (425*s[3])/8 + (8621*s[4])/16 + 
       (5009*s[5])/22 + (81679*s[6])/176 + (15363731*s[7])/3168 - 
       (955967*s[8])/1584 - (35350*s[9])/9 - (41905*s[10])/72 - 
       (5787379*s[11])/1056 - (211709*s[12])/33 - (12690475*s[13])/3168 + 
       (1023005*s[14])/1056 - (1776437*s[15])/288 - (1496569*s[16])/198 - 
       (15461207*s[17])/3168 - (110323*s[18])/108 - (196427*s[19])/432 - 
       (37584095*s[20])/4752 - (9206783*s[21])/3168 + (23519545*s[22])/9504 + 
       (8658305*s[23])/792 + (4868927*s[24])/1188 - (36334219*s[25])/4752 + 
       (18348703*s[26])/4752 + 9*s[30] + 5*s[31] - (47*s[32])/2 + 
       (57*s[33])/8 - 22*s[34] - (69*s[35])/2 - (151*s[36])/3 + 
       (411*s[37])/4 - (7*s[38])/2 - (7*s[39])/2 - (557*s[40])/3 + 
       (1029*s[41])/4 + (38*s[42])/3 - (25835*s[43])/66 + 
       (178525*s[44])/528 - (62587*s[45])/88 + (1068335*s[46])/264 + 
       (541309*s[47])/1584 - (1676027*s[48])/1584 + (2657801*s[49])/1584 - 
       (229661*s[50])/66 - (230971*s[51])/1584 + (82427*s[52])/1584 + 
       (424651*s[53])/198 + (17665*s[54])/33 + (7925425*s[55])/528 + 
       (6341639*s[56])/1584 + (10095089*s[57])/2376 + 
       (58887775*s[58])/14256 - (54744805*s[59])/14256 - 
       (378901661*s[60])/9504 + (285972697*s[61])/128304 - 7*s[62] + s[65] + 
       2*s[66] - s[67] - 6*s[69] - 68*s[70] + 2*s[71] + 3*s[72] - 3*s[73] - 
       (25*s[74])/4 + (33*s[75])/4 - 10*s[76] + (145*s[77])/2 + 39*s[78] - 
       114*s[79] + (135*s[80])/2 + s[81]/3 - 678*s[82] + (39*s[83])/2 - 
       51*s[84] - 228*s[85]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - u]*((-39*s[2])/2 - (1109*s[3])/12 - 
       (15857*s[4])/12 - (285955*s[5])/264 - (699967*s[6])/264 - 
       (148436377*s[7])/6336 + (52632955*s[8])/28512 + (51225269*s[9])/2592 + 
       (16753009*s[10])/2592 + (486206659*s[11])/19008 + 
       (263279449*s[12])/9504 + (312250105*s[13])/19008 + 
       (70746979*s[14])/19008 + (18173131*s[15])/576 + 
       (94943759*s[16])/2376 + (597496285*s[17])/19008 + 
       (4326557*s[18])/972 + (26748917*s[19])/7776 + (4061290001*s[20])/
        85536 + (2969079199*s[21])/171072 - (2102175311*s[22])/171072 - 
       (246770371*s[23])/9504 - (550891657*s[24])/21384 + 
       (6202279535*s[25])/192456 - (6939507169*s[26])/384912 - (13*s[30])/6 - 
       (13*s[31])/3 + (8*s[32])/3 + (9*s[33])/8 - (43*s[34])/6 - 9*s[35] + 
       (89*s[36])/3 - (79*s[37])/3 - (25157*s[38])/36 + (53333*s[39])/18 - 
       (60803*s[40])/18 + (32189*s[41])/12 - (38648*s[42])/9 - 
       (1069543*s[43])/396 + (1533757*s[44])/528 - (75975*s[45])/22 + 
       (10240345*s[46])/396 - (150497*s[47])/176 - (124669*s[48])/176 + 
       (6612055*s[49])/528 - (7936801*s[50])/396 - (14085565*s[51])/4752 - 
       (1203163*s[52])/528 + (4152209*s[53])/297 - (60505*s[54])/198 + 
       (47200151*s[55])/528 + (112572901*s[56])/4752 - 
       (134758559*s[57])/7128 + (1677286025*s[58])/42768 - 
       (1699214183*s[59])/42768 - (2026963163*s[60])/9504 + 
       (4529195597*s[61])/384912 + (10*s[70])/3 + 2*s[71] - (38*s[72])/3 - 
       2*s[73] + (65*s[74])/6 - (71*s[75])/6 + (26*s[76])/3 + (5*s[77])/3 - 
       (28*s[78])/3 - (856*s[79])/3 + (694*s[80])/9 - (1957*s[82])/2 - 
       s[83] - 154*s[84] - 220*s[85]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((-311*s[2])/9 - (2639*s[3])/36 - 
       (62447*s[4])/18 - (454159*s[5])/198 - (2309885*s[6])/396 - 
       (1561340747*s[7])/28512 + (64111867*s[8])/14256 + 
       (59941859*s[9])/1296 + (18699067*s[10])/1296 + (63812429*s[11])/1056 + 
       (315542251*s[12])/4752 + (1137886159*s[13])/28512 + 
       (19504739*s[14])/3168 + (187447157*s[15])/2592 + 
       (657372919*s[16])/7128 + (2002039277*s[17])/28512 + 
       (3143683*s[18])/324 + (3709361*s[19])/432 + (386323151*s[20])/3564 + 
       (3301756787*s[21])/85536 - (2470736969*s[22])/85536 - 
       (905061505*s[23])/14256 - (1287856325*s[24])/21384 + 
       (29766150625*s[25])/384912 - (4015524439*s[26])/96228 - 
       (131*s[30])/18 - (79*s[31])/9 - (103*s[32])/18 + (51*s[33])/8 + 
       (169*s[34])/18 + (137*s[35])/3 + (2945*s[36])/27 - (3805*s[37])/27 - 
       (17815*s[38])/9 + (23363*s[39])/3 - (236798*s[40])/27 + 
       (123755*s[41])/18 - (301450*s[42])/27 - (2039539*s[43])/297 + 
       (17629805*s[44])/2376 - (4579235*s[45])/594 + (36333211*s[46])/594 - 
       (17488879*s[47])/7128 - (8801695*s[48])/7128 + 
       (225890965*s[49])/7128 - (28096019*s[50])/594 - 
       (55599911*s[51])/7128 - (43819805*s[52])/7128 + 
       (115390105*s[53])/3564 - (95581*s[54])/297 + (162663839*s[55])/792 + 
       (127288277*s[56])/2376 - (65232191*s[57])/1188 + 
       (2030991527*s[58])/21384 - (2053820327*s[59])/21384 - 
       (21562372783*s[60])/42768 + (627384422*s[61])/24057 - (80*s[70])/3 + 
       (7*s[71])/3 - 26*s[72] + (148*s[73])/9 + (245*s[74])/6 - 
       (229*s[75])/6 + 26*s[76] + (269*s[77])/9 - (146*s[78])/9 - 
       (2540*s[79])/3 + (6490*s[80])/27 - 720*s[82] - (29*s[83])/6 - 
       339*s[84] - (656*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*((-167*s[2])/4 - 
       (2911*s[3])/24 - (39369*s[4])/16 - (277061*s[5])/132 - 
       (167317*s[6])/33 - (427305163*s[7])/9504 + (6068089*s[8])/1782 + 
       (49350631*s[9])/1296 + (8121751*s[10])/648 + (116509631*s[11])/2376 + 
       (503088697*s[12])/9504 + (299912869*s[13])/9504 + 
       (71062253*s[14])/9504 + (52378649*s[15])/864 + 
       (181907269*s[16])/2376 + (15984491*s[17])/264 + 
       (32502941*s[18])/3888 + (6592495*s[19])/972 + (488255939*s[20])/5346 + 
       (2864483729*s[21])/85536 - (2020235989*s[22])/85536 - 
       (453532115*s[23])/9504 - (4250349595*s[24])/85536 + 
       (47433073601*s[25])/769824 - (26632624079*s[26])/769824 - 6*s[30] - 
       (13*s[31])/3 + (2*s[32])/3 + (101*s[33])/24 - (20*s[34])/3 + 
       (61*s[35])/2 + (877*s[36])/12 - (398*s[37])/9 - (15109*s[38])/12 + 
       (81709*s[39])/16 - (93065*s[40])/16 + (223373*s[41])/48 - 
       (117251*s[42])/16 - (835059*s[43])/176 + (5271347*s[44])/1056 - 
       (4657831*s[45])/792 + (69969215*s[46])/1584 - (1487881*s[47])/1056 - 
       (1395283*s[48])/1056 + (22967051*s[49])/1056 - (9043159*s[50])/264 - 
       (16190305*s[51])/3168 - (1406113*s[52])/352 + (56577263*s[53])/2376 - 
       (126361*s[54])/396 + (53610005*s[55])/352 + (378902593*s[56])/9504 - 
       (226169137*s[57])/7128 + (5714782559*s[58])/85536 - 
       (5806188629*s[59])/85536 - (6950206751*s[60])/19008 + 
       (15188122541*s[61])/769824 + 4*s[68] - 4*s[69] - 10*s[70] + 
       (37*s[71])/6 - 14*s[72] + s[73]/6 + (45*s[74])/2 - (68*s[75])/3 + 
       (10*s[76])/3 + (44*s[77])/3 - (31*s[78])/6 - 503*s[79] + 
       (2317*s[80])/18 - (1607*s[82])/2 + 2*s[83] - 194*s[84] - 212*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      (-33*s[2] - (187*s[3])/2 - (16401*s[4])/8 - (137025*s[5])/88 - 
       (86143*s[6])/22 - (3059255*s[7])/88 + (1654099*s[8])/594 + 
       (792670*s[9])/27 + (2003719*s[10])/216 + (15124291*s[11])/396 + 
       (33037699*s[12])/792 + (2469685*s[13])/99 + (1910269*s[14])/396 + 
       (3317893*s[15])/72 + (46533725*s[16])/792 + (4489891*s[17])/99 + 
       (2125181*s[18])/324 + (1617619*s[19])/324 + (496262057*s[20])/7128 + 
       (22592440*s[21])/891 - (65136095*s[22])/3564 - (31617163*s[23])/792 - 
       (270333409*s[24])/7128 + (3104458931*s[25])/64152 - 
       (859021741*s[26])/32076 - s[30]/2 - 9*s[31] + 5*s[32] + (37*s[33])/8 + 
       (7*s[34])/2 + s[35] + (143*s[36])/2 - (280*s[37])/3 - 1165*s[38] + 
       (37657*s[39])/8 - (42493*s[40])/8 + (33325*s[41])/8 - 
       (54329*s[42])/8 - (369667*s[43])/88 + (783069*s[44])/176 - 
       (648775*s[45])/132 + (10048601*s[46])/264 - (791837*s[47])/528 - 
       (446195*s[48])/528 + (10063103*s[49])/528 - (321104*s[50])/11 - 
       (2491739*s[51])/528 - (1991311*s[52])/528 + (15987073*s[53])/792 - 
       (24173*s[54])/33 + (67744447*s[55])/528 + (54378223*s[56])/1584 - 
       (40546285*s[57])/1188 + (847215749*s[58])/14256 - 
       (853411655*s[59])/14256 - (987455701*s[60])/3168 + 
       (2153638877*s[61])/128304 + 3*s[70] + 3*s[71] - 18*s[72] + 20*s[74] - 
       20*s[75] + 18*s[76] + s[77] - 13*s[78] - 442*s[79] + (331*s[80])/3 - 
       711*s[82] - 216*s[84] - 204*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - w]*((-51*s[2])/2 - (389*s[3])/4 - (4217*s[4])/2 - 
       (129713*s[5])/88 - (170861*s[6])/44 - (18022969*s[7])/528 + 
       (833306*s[8])/297 + (6213755*s[9])/216 + (1923775*s[10])/216 + 
       (29753795*s[11])/792 + (65238017*s[12])/1584 + (39216457*s[13])/1584 + 
       (6776917*s[14])/1584 + (6483185*s[15])/144 + (22759771*s[16])/396 + 
       (34827071*s[17])/792 + (4151797*s[18])/648 + (786473*s[19])/162 + 
       (482917295*s[20])/7128 + (350028289*s[21])/14256 - 
       (255701981*s[22])/14256 - (63787025*s[23])/1584 - 
       (527307413*s[24])/14256 + (6141692203*s[25])/128304 - 
       (3373792531*s[26])/128304 - (7*s[30])/2 - 9*s[31] + 5*s[32] + 
       s[33]/8 + (13*s[34])/2 + s[35] + (143*s[36])/2 - (256*s[37])/3 - 
       1166*s[38] + (38057*s[39])/8 - (42893*s[40])/8 + (33733*s[41])/8 - 
       (55033*s[42])/8 - (372035*s[43])/88 + (785877*s[44])/176 - 
       (654007*s[45])/132 + (10144505*s[46])/264 - (811775*s[47])/528 - 
       (414653*s[48])/528 + (10099025*s[49])/528 - (1295353*s[50])/44 - 
       (2524873*s[51])/528 - (2026399*s[52])/528 + (16143601*s[53])/792 - 
       (28547*s[54])/33 + (68378281*s[55])/528 + (55093921*s[56])/1584 - 
       (41377651*s[57])/1188 + (857160515*s[58])/14256 - 
       (862942673*s[59])/14256 - (994450747*s[60])/3168 + 
       (2181146009*s[61])/128304 + 3*s[70] + 3*s[71] - 18*s[72] + 20*s[74] - 
       20*s[75] + 18*s[76] + s[77] - 13*s[78] - 442*s[79] + (331*s[80])/3 - 
       675*s[82] - 216*s[84] - 204*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - v]*(-18*s[2] - 54*s[3] - (5307*s[4])/4 - 
       (3769*s[5])/4 - (38363*s[6])/16 - (350175*s[7])/16 + 
       (242623*s[8])/144 + (2667331*s[9])/144 + (423535*s[10])/72 + 
       (2317471*s[11])/96 + (2533643*s[12])/96 + (47621*s[13])/3 + 
       (132419*s[14])/48 + (1388803*s[15])/48 + (885583*s[16])/24 + 
       (2711125*s[17])/96 + (1742651*s[18])/432 + (1432843*s[19])/432 + 
       (18857417*s[20])/432 + (3413605*s[21])/216 - (2492603*s[22])/216 - 
       (2391113*s[23])/96 - (20740121*s[24])/864 + (238477045*s[25])/7776 - 
       (130922311*s[26])/7776 - 3*s[30] - 6*s[31] - (21*s[33])/4 + 9*s[34] + 
       6*s[35] + 61*s[36] - 8*s[37] - 862*s[38] + (6495*s[39])/2 - 
       (7337*s[40])/2 + (11759*s[41])/4 - (18245*s[42])/4 - 
       (69721*s[43])/22 + (284037*s[44])/88 - (80719*s[45])/22 + 
       (304778*s[46])/11 - (373199*s[47])/528 - (644987*s[48])/528 + 
       (7611995*s[49])/528 - (1900527*s[50])/88 - (556115*s[51])/176 - 
       (658115*s[52])/264 + (1954387*s[53])/132 + (15227*s[54])/44 + 
       (49934215*s[55])/528 + (4257683*s[56])/176 - (836035*s[57])/44 + 
       (65655961*s[58])/1584 - (66932455*s[59])/1584 - 
       (734685161*s[60])/3168 + (21437767*s[61])/1782 + 9*s[68] - 9*s[69] - 
       6*s[70] + 6*s[71] - 12*s[72] + 12*s[74] - 12*s[75] + 12*s[76] + 
       15*s[77] - 6*s[78] - 252*s[79] + 22*s[80] - 513*s[82] - 144*s[84] - 
       204*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v]*((-185*s[2])/6 + (227*s[3])/12 - 
       (73055*s[4])/24 - (68663*s[5])/33 - (1376783*s[6])/264 - 
       (76285603*s[7])/1584 + (28122059*s[8])/7128 + (13198019*s[9])/324 + 
       (1003330*s[10])/81 + (252618941*s[11])/4752 + (138845699*s[12])/2376 + 
       (167687153*s[13])/4752 + (24894935*s[14])/4752 + 
       (27409555*s[15])/432 + (96030041*s[16])/1188 + 
       (291667583*s[17])/4752 + (2109889*s[18])/243 + (13911901*s[19])/1944 + 
       (2029327687*s[20])/21384 + (1464615761*s[21])/42768 - 
       (1088047225*s[22])/42768 - (136360673*s[23])/2376 - 
       (1118311955*s[24])/21384 + (13078802641*s[25])/192456 - 
       (7114079749*s[26])/192456 - (29*s[30])/3 - (44*s[31])/3 + 
       (2*s[32])/3 + (7*s[33])/2 + (97*s[34])/3 + (131*s[35])/3 + 
       (427*s[36])/3 - (641*s[37])/6 - (5576*s[38])/3 + 7291*s[39] - 
       (24434*s[40])/3 + (19355*s[41])/3 - (62737*s[42])/6 - 
       (215737*s[43])/33 + (1811863*s[44])/264 - (939755*s[45])/132 + 
       (7504217*s[46])/132 - (197749*s[47])/88 - (317455*s[48])/264 + 
       (7849937*s[49])/264 - (2895187*s[50])/66 - (5648869*s[51])/792 - 
       (1508725*s[52])/264 + (5988355*s[53])/198 - (5931*s[54])/22 + 
       (151635889*s[55])/792 + (39402005*s[56])/792 - (60546601*s[57])/1188 + 
       (629532625*s[58])/7128 - (641525755*s[59])/7128 - 
       (246676343*s[60])/528 + (1548137881*s[61])/64152 + 10*s[66] - 
       10*s[67] + 10*s[68] - 30*s[69] - (22*s[70])/3 + (22*s[71])/3 - 
       34*s[72] + 10*s[73] + (205*s[74])/6 - (209*s[75])/6 + 8*s[76] + 
       (71*s[77])/3 - (130*s[78])/3 - (1964*s[79])/3 + 133*s[80] - 
       348*s[82] + (5*s[83])/2 - 265*s[84] - 188*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((15*s[2])/2 - (331*s[3])/4 + (465*s[4])/8 - (10331*s[5])/66 - 
       (111343*s[6])/264 - (12031057*s[7])/4752 + (38185*s[8])/264 + 
       (76805*s[9])/36 + (3578*s[10])/3 + (3629341*s[11])/1584 + 
       (63806*s[12])/33 + (3291845*s[13])/4752 + (3305353*s[14])/1584 + 
       (1914271*s[15])/432 + (6038051*s[16])/1188 + (26263081*s[17])/4752 + 
       (50588*s[18])/81 + (185165*s[19])/648 + (50395859*s[20])/7128 + 
       (39083687*s[21])/14256 - (1932511*s[22])/1584 + (364447*s[23])/594 - 
       (1922555*s[24])/594 + (144714109*s[25])/64152 - 
       (124798999*s[26])/64152 + 2*s[30] + (34*s[31])/3 + (4*s[32])/3 + 
       (9*s[33])/4 - (86*s[34])/3 + (74*s[35])/3 - (893*s[36])/18 - 
       (185*s[37])/18 + (995*s[38])/6 - (2191*s[39])/8 + (15611*s[40])/72 - 
       (3199*s[41])/24 + (21553*s[42])/72 + (96889*s[43])/792 - 
       (278675*s[44])/1584 - (50902*s[45])/99 + (1472353*s[46])/792 + 
       (102577*s[47])/4752 - (449381*s[48])/4752 - (3943627*s[49])/4752 - 
       (146176*s[50])/99 + (524807*s[51])/4752 + (890321*s[52])/4752 + 
       (1647871*s[53])/1188 - (122591*s[54])/198 + (15632063*s[55])/1584 + 
       (5406829*s[56])/1584 + (1949851*s[57])/396 + (21368119*s[58])/14256 - 
       (16656193*s[59])/14256 - (446440367*s[60])/28512 + 
       (238319177*s[61])/128304 - (5*s[62])/3 - s[64] - s[65] - 8*s[66] + 
       (34*s[67])/3 - 4*s[68] + 22*s[69] - (52*s[70])/3 + (2*s[71])/3 + 
       (4*s[72])/3 - 31*s[73] - 8*s[74] + 4*s[75] + 20*s[76] + (92*s[77])/3 + 
       (13*s[78])/3 - (112*s[79])/3 + (148*s[80])/9 + s[81]/6 - 918*s[82] + 
       (21*s[83])/2 - 25*s[84] - 188*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*((-46*s[2])/3 - (77*s[3])/2 + 
       (1109*s[4])/6 - (9949*s[5])/44 - (36251*s[6])/132 - 
       (6698491*s[7])/2376 - (254453*s[8])/3564 + (406567*s[9])/162 + 
       (583423*s[10])/324 + (6052075*s[11])/2376 + (2084749*s[12])/1188 + 
       (565579*s[13])/792 + (5819203*s[14])/2376 + (396115*s[15])/72 + 
       (1170713*s[16])/198 + (16671731*s[17])/2376 + (249913*s[18])/972 + 
       (545653*s[19])/486 + (42761263*s[20])/5346 + (65376115*s[21])/21384 - 
       (30807497*s[22])/21384 + (685489*s[23])/198 - (48688927*s[24])/10692 + 
       (229211957*s[25])/96228 - (189834203*s[26])/96228 + (7*s[30])/3 + 
       2*s[31] - (8*s[32])/3 - (69*s[33])/4 - (47*s[34])/3 - (46*s[35])/3 - 
       (358*s[36])/9 + (1090*s[37])/9 + 124*s[38] - (1582*s[39])/3 + 
       (4336*s[40])/9 - 259*s[41] + (7643*s[42])/9 - (11854*s[43])/99 - 
       (33503*s[44])/396 - (154177*s[45])/198 + (174721*s[46])/66 + 
       (850657*s[47])/1188 - (1445879*s[48])/1188 + (388837*s[49])/594 - 
       (278281*s[50])/99 + (339679*s[51])/594 + (809195*s[52])/1188 + 
       (222514*s[53])/99 + (75983*s[54])/66 + (6390737*s[55])/396 + 
       (740701*s[56])/297 + (14226884*s[57])/891 - (2605981*s[58])/2673 - 
       (428243*s[59])/2673 - (115383649*s[60])/3564 + 
       (165477779*s[61])/96228 - 16*s[70] + (14*s[71])/3 + 4*s[72] + 
       (16*s[73])/3 - (23*s[74])/3 + (31*s[75])/3 - 12*s[76] + 14*s[77] + 
       4*s[78] + (76*s[79])/3 - (130*s[80])/9 - 942*s[82] + 8*s[83] + 
       20*s[84] - 184*s[85]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((-31*s[2])/4 + (39*s[3])/8 - (39615*s[4])/16 - 
       (283457*s[5])/176 - (6753863*s[6])/1584 - (35277542*s[7])/891 + 
       (11624447*s[8])/3564 + (43505395*s[9])/1296 + (6702631*s[10])/648 + 
       (137909411*s[11])/3168 + (455431351*s[12])/9504 + 
       (51133757*s[13])/1782 + (2657749*s[14])/528 + (67557887*s[15])/1296 + 
       (946809421*s[16])/14256 + (1437641083*s[17])/28512 + 
       (3071209*s[18])/432 + (1885883*s[19])/324 + (124929247*s[20])/1584 + 
       (1196031005*s[21])/42768 - (895045097*s[22])/42768 - 
       (1288509649*s[23])/28512 - (3710439301*s[24])/85536 + 
       (10708214047*s[25])/192456 - (5805681955*s[26])/192456 - 
       (27*s[30])/2 + (68*s[31])/9 + (61*s[32])/9 + (671*s[33])/36 - 
       (89*s[34])/6 + (787*s[35])/18 + (2225*s[36])/54 - (3848*s[37])/27 - 
       (10634*s[38])/9 + (168389*s[39])/36 - (584725*s[40])/108 + 
       (51445*s[41])/12 - (365431*s[42])/54 - (5045285*s[43])/1188 + 
       (42793741*s[44])/9504 - (11856451*s[45])/2376 + 
       (91656041*s[46])/2376 - (40706657*s[47])/28512 - 
       (29613641*s[48])/28512 + (539567771*s[49])/28512 - 
       (70739923*s[50])/2376 - (139052317*s[51])/28512 - 
       (110283517*s[52])/28512 + (145461157*s[53])/7128 - 
       (3626455*s[54])/2376 + (1240043171*s[55])/9504 + 
       (37248931*s[56])/1056 - (466490575*s[57])/14256 + 
       (5109020903*s[58])/85536 - (5119484201*s[59])/85536 - 
       (54542623037*s[60])/171072 + (4341008321*s[61])/256608 - (5*s[62])/3 + 
       s[64] - (5*s[65])/3 - (44*s[66])/3 + (46*s[67])/3 + s[68] + 
       (73*s[69])/3 - (71*s[70])/3 + (23*s[71])/3 + (5*s[72])/9 + 
       (71*s[73])/9 + (613*s[74])/36 - (535*s[75])/36 + (127*s[76])/9 + 
       (455*s[77])/18 + 38*s[78] - (2165*s[79])/3 + (5381*s[80])/27 + 
       s[81]/6 - 543*s[82] + (17*s[83])/3 - (926*s[84])/3 - 180*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - v]*
      ((-44*s[2])/3 - (103*s[3])/2 - (995*s[4])/12 - (102367*s[5])/264 - 
       (42701*s[6])/66 - (15568037*s[7])/2376 + (457019*s[8])/1782 + 
       (1832291*s[9])/324 + (1686719*s[10])/648 + (32803055*s[11])/4752 + 
       (32617363*s[12])/4752 + (4574497*s[13])/1188 + (5876719*s[14])/2376 + 
       (1053917*s[15])/108 + (14129545*s[16])/1188 + (17044169*s[17])/1584 + 
       (1030327*s[18])/972 + (2931787*s[19])/1944 + (321387223*s[20])/21384 + 
       (119447089*s[21])/21384 - (36796297*s[22])/10692 - 
       (9739427*s[23])/4752 - (358660363*s[24])/42768 + 
       (1548691429*s[25])/192456 - (118416047*s[26])/24057 - 5*s[32] - 
       (35*s[33])/3 - (26*s[34])/3 - (16*s[35])/3 + (7*s[36])/9 + 
       (437*s[37])/12 - (185*s[38])/2 + (491*s[39])/2 - (6149*s[40])/18 + 
       (1229*s[41])/4 - (8087*s[42])/36 - (126355*s[43])/198 + 
       (236399*s[44])/396 - (103537*s[45])/88 + (5305819*s[46])/792 + 
       (823435*s[47])/2376 - (2613185*s[48])/2376 + (7621469*s[49])/2376 - 
       (2264573*s[50])/396 - (369337*s[51])/2376 + (38539*s[52])/1188 + 
       (9372113*s[53])/2376 + (445025*s[54])/396 + (21221327*s[55])/792 + 
       (13869833*s[56])/2376 + (6028586*s[57])/891 + (36948085*s[58])/5346 - 
       (159598729*s[59])/21384 - (454122667*s[60])/7128 + 
       (1264362203*s[61])/384912 - s[62]/3 - 20*s[70] + (7*s[71])/6 - 
       (7*s[74])/3 + (7*s[75])/3 + 20*s[77] - (20*s[79])/3 - (35*s[80])/6 - 
       999*s[82] - 176*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - w]*((-287*s[2])/6 - (137*s[3])/6 - 
       (9581*s[4])/12 - (74741*s[5])/66 - (155875*s[6])/66 - 
       (2059643*s[7])/99 + (558689*s[8])/396 + (320645*s[9])/18 + 
       (56771*s[10])/9 + (742681*s[11])/33 + (2099505*s[12])/88 + 
       (10959371*s[13])/792 + (1282715*s[14])/264 + (1028693*s[15])/36 + 
       (28482359*s[16])/792 + (11669915*s[17])/396 + (50995*s[18])/12 + 
       (25904*s[19])/9 + (2912797*s[20])/66 + (40245493*s[21])/2376 - 
       (26025577*s[22])/2376 - (7764611*s[23])/396 - (6839099*s[24])/297 + 
       (291720953*s[25])/10692 - (174343871*s[26])/10692 - (2*s[30])/3 - 
       (46*s[31])/3 + (19*s[32])/3 - (173*s[33])/12 + (40*s[34])/3 + 
       (37*s[35])/3 + 33*s[36] + s[37] - 507*s[38] + (6622*s[39])/3 - 
       (7435*s[40])/3 + (5864*s[41])/3 - (6385*s[42])/2 - (62933*s[43])/33 + 
       (70016*s[44])/33 - (83971*s[45])/33 + (630448*s[46])/33 - 
       (154037*s[47])/198 - (69359*s[48])/198 + (912313*s[49])/99 - 
       (489284*s[50])/33 - (216356*s[51])/99 - (167720*s[52])/99 + 
       (4059019*s[53])/396 + (13784*s[54])/33 + (26006831*s[55])/396 + 
       (1727542*s[56])/99 - (9305165*s[57])/594 + (52756081*s[58])/1782 - 
       (105986129*s[59])/3564 - (186828809*s[60])/1188 + 
       (566548615*s[61])/64152 + 10*s[66] - 10*s[67] - 10*s[68] - 10*s[69] - 
       6*s[70] - 2*s[71] - (50*s[72])/3 + 6*s[73] + (38*s[74])/3 - 
       (73*s[75])/6 + (20*s[76])/3 + 7*s[77] - (118*s[78])/3 - 168*s[79] + 
       (205*s[80])/3 - 884*s[82] + (31*s[83])/2 - 25*s[84] - 176*s[85]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((125*s[2])/2 - (79*s[3])/2 - (2887*s[4])/8 + (12747*s[5])/44 - 
       (1703*s[6])/11 - (266095*s[7])/264 + (247771*s[8])/792 + 
       (19753*s[9])/36 + (20191*s[10])/72 + (618085*s[11])/528 + 
       (799547*s[12])/528 + (68881*s[13])/66 - (94463*s[14])/132 + 
       (31187*s[15])/24 + (552199*s[16])/264 + (224197*s[17])/176 - 
       (6599*s[18])/54 + (87833*s[19])/216 + (679493*s[20])/594 - 
       (131977*s[21])/594 - (1211893*s[22])/2376 - (1365697*s[23])/528 - 
       (5389667*s[24])/4752 + (86693443*s[25])/42768 - 
       (20203387*s[26])/42768 + (3*s[28])/2 + 12*s[29] - 6*s[30] + 3*s[31] - 
       (13*s[32])/4 - (177*s[33])/4 - 9*s[34] + 15*s[35] + 25*s[36] + 
       35*s[37] + (173*s[38])/2 + (125*s[39])/2 - (375*s[40])/2 + 
       (1107*s[41])/4 - (843*s[42])/4 - (3483*s[43])/22 + (29263*s[44])/88 - 
       (17689*s[45])/44 + (146687*s[46])/44 + (6239*s[47])/33 - 
       (14023*s[48])/33 + (38890*s[49])/33 - (35042*s[50])/11 - 
       (19493*s[51])/132 + (10793*s[52])/264 + (70189*s[53])/33 + 
       (32655*s[54])/44 + (608757*s[55])/44 + (120865*s[56])/33 + 
       (1170283*s[57])/792 + (1171355*s[58])/297 - (1213862*s[59])/297 - 
       (24317509*s[60])/792 + (39072577*s[61])/21384 + (3*s[65])/2 + 
       12*s[66] - 12*s[67] + 8*s[68] - 30*s[69] + (27*s[70])/2 - 
       (3*s[71])/2 - 12*s[72] + 16*s[73] + 9*s[74] - 9*s[75] + 3*s[76] + 
       (25*s[77])/2 - 36*s[78] - 186*s[79] + 59*s[80] - 630*s[82] - 
       72*s[84] - 174*s[85]) + HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-65*s[2])/2 + (529*s[3])/2 + (937*s[4])/8 - (3759*s[5])/11 - 
       (23335*s[6])/44 - (1423975*s[7])/264 + (137755*s[8])/792 + 
       (44959*s[9])/9 + (164533*s[10])/72 + (2881777*s[11])/528 + 
       (2719535*s[12])/528 + (90830*s[13])/33 + (375235*s[14])/132 + 
       (192077*s[15])/24 + (2603101*s[16])/264 + (1635961*s[17])/176 + 
       (238699*s[18])/216 + (127973*s[19])/216 + (7802921*s[20])/594 + 
       (6320203*s[21])/1188 - (7208107*s[22])/2376 - (649939*s[23])/528 - 
       (29597003*s[24])/4752 + (245795335*s[25])/42768 - 
       (175817419*s[26])/42768 - 12*s[31] + 35*s[32] - (39*s[33])/4 + 
       12*s[34] + 15*s[35] + 25*s[36] + 35*s[37] + (173*s[38])/2 + 
       (125*s[39])/2 - (375*s[40])/2 + (1107*s[41])/4 - (843*s[42])/4 - 
       (3483*s[43])/22 + (29263*s[44])/88 - (17689*s[45])/44 + 
       (146687*s[46])/44 + (6239*s[47])/33 - (14023*s[48])/33 + 
       (38890*s[49])/33 - (35042*s[50])/11 - (19493*s[51])/132 + 
       (10793*s[52])/264 + (70189*s[53])/33 + (32655*s[54])/44 + 
       (608757*s[55])/44 + (120865*s[56])/33 + (1170283*s[57])/792 + 
       (1171355*s[58])/297 - (1213862*s[59])/297 - (24317509*s[60])/792 + 
       (39072577*s[61])/21384 + (3*s[65])/2 + 12*s[66] - 12*s[67] + 8*s[68] - 
       30*s[69] + (27*s[70])/2 - (3*s[71])/2 - 12*s[72] + 16*s[73] + 
       9*s[74] - 9*s[75] + 3*s[76] + (25*s[77])/2 - 36*s[78] - 186*s[79] + 
       59*s[80] - 630*s[82] - 72*s[84] - 174*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[u, v, w]*((-128*s[2])/9 - 96*s[3] + 
       (560*s[4])/3 - (2304*s[5])/11 - (22436*s[6])/99 - (2000692*s[7])/891 - 
       (215812*s[8])/2673 + (445036*s[9])/243 + (369032*s[10])/243 + 
       (1847950*s[11])/891 + (1251986*s[12])/891 + (51124*s[13])/99 + 
       (1731952*s[14])/891 + (116900*s[15])/27 + (1413904*s[16])/297 + 
       (5184854*s[17])/891 + (178904*s[18])/729 + (759064*s[19])/729 + 
       (50638228*s[20])/8019 + (19958128*s[21])/8019 - (8598764*s[22])/8019 + 
       (285850*s[23])/99 - (31587746*s[24])/8019 + (140561266*s[25])/72171 - 
       (118069330*s[26])/72171 + (128*s[30])/9 - (128*s[34])/9 - 
       (512*s[35])/9 - (896*s[36])/27 + (2192*s[37])/27 + (448*s[38])/3 - 
       (4688*s[39])/9 + (13808*s[40])/27 - (3152*s[41])/9 + 
       (22432*s[42])/27 - (5408*s[43])/297 - (28360*s[44])/297 - 
       (208720*s[45])/297 + (205264*s[46])/99 + (583796*s[47])/891 - 
       (843652*s[48])/891 + (339184*s[49])/891 - (623912*s[50])/297 + 
       (601408*s[51])/891 + (606040*s[52])/891 + (20184*s[53])/11 + 
       (107176*s[54])/99 + (1318604*s[55])/99 + (1916216*s[56])/891 + 
       (36125992*s[57])/2673 - (8289824*s[58])/8019 - (220288*s[59])/8019 - 
       (66263636*s[60])/2673 + (121865704*s[61])/72171 - (64*s[74])/9 + 
       (64*s[75])/9 + (1024*s[79])/9 - (512*s[80])/27 - (3104*s[82])/3 - 
       (512*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[w, v, u]*
      ((-128*s[2])/9 - 96*s[3] + (560*s[4])/3 - (7312*s[5])/33 - 
       (42980*s[6])/99 - (1634932*s[7])/891 - (338212*s[8])/2673 + 
       (343660*s[9])/243 + (278600*s[10])/243 + (1519990*s[11])/891 + 
       (1102154*s[12])/891 + (45268*s[13])/99 + (1961920*s[14])/891 + 
       (89684*s[15])/27 + (1103008*s[16])/297 + (4007726*s[17])/891 + 
       (480728*s[18])/729 + (182056*s[19])/729 + (44407204*s[20])/8019 + 
       (20741056*s[21])/8019 - (6453740*s[22])/8019 + (161554*s[23])/99 - 
       (22406522*s[24])/8019 + (90086962*s[25])/72171 - 
       (118684642*s[26])/72171 + (128*s[30])/9 - (128*s[34])/9 - 
       (512*s[35])/9 - (896*s[36])/27 + (2192*s[37])/27 + (320*s[38])/3 - 
       (4976*s[39])/9 + (14672*s[40])/27 - (4208*s[41])/9 + 
       (25024*s[42])/27 + (30016*s[43])/297 - (62704*s[44])/297 - 
       (187408*s[45])/297 + (162544*s[46])/99 + (512300*s[47])/891 - 
       (872380*s[48])/891 - (529784*s[49])/891 - (366152*s[50])/297 + 
       (645688*s[51])/891 + (390688*s[52])/891 + (36008*s[53])/33 - 
       (31256*s[54])/99 + (959444*s[55])/99 + (2877632*s[56])/891 + 
       (28320184*s[57])/2673 - (1422968*s[58])/8019 + (3523208*s[59])/8019 - 
       (46166888*s[60])/2673 + (144622816*s[61])/72171 - (64*s[74])/9 + 
       (64*s[75])/9 + (1024*s[79])/9 - (512*s[80])/27 - (2528*s[82])/3 - 
       (512*s[85])/3) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - u]*(-26*s[2] - (67*s[3])/2 - (15221*s[4])/8 - 
       (31189*s[5])/22 - (314327*s[6])/88 - (16978441*s[7])/528 + 
       (56003*s[8])/22 + 27213*s[9] + (68907*s[10])/8 + (6210135*s[11])/176 + 
       (1695401*s[12])/44 + (12199595*s[13])/528 + (792111*s[14])/176 + 
       (2042785*s[15])/48 + (7150361*s[16])/132 + (22045117*s[17])/528 + 
       (428617*s[18])/72 + (337553*s[19])/72 + (12745001*s[20])/198 + 
       (36848093*s[21])/1584 - (8948353*s[22])/528 - (2387777*s[23])/66 - 
       (3093311*s[24])/88 + (638257295*s[25])/14256 - 
       (351150005*s[26])/14256 - (5*s[30])/2 - 5*s[31] + 5*s[32] + 
       (109*s[33])/8 + (7*s[34])/2 + 35*s[35] + 78*s[36] - 118*s[37] - 
       1080*s[38] + (17189*s[39])/4 - (19517*s[40])/4 + (15397*s[41])/4 - 
       (24651*s[42])/4 - (171043*s[43])/44 + (364181*s[44])/88 - 
       (51000*s[45])/11 + (1567521*s[46])/44 - (331801*s[47])/264 - 
       (244615*s[48])/264 + (4658227*s[49])/264 - (301864*s[50])/11 - 
       (1142591*s[51])/264 - (913463*s[52])/264 + (624196*s[53])/33 - 
       (8365*s[54])/11 + (31841759*s[55])/264 + (2838939*s[56])/88 - 
       (977263*s[57])/33 + (14519545*s[58])/264 - (14605241*s[59])/264 - 
       (464523217*s[60])/1584 + (55897045*s[61])/3564 - 6*s[70] + 3*s[71] - 
       10*s[72] + 6*s[73] + (41*s[74])/2 - (41*s[75])/2 + 10*s[76] + 
       3*s[77] - 2*s[78] - 474*s[79] + 126*s[80] - 558*s[82] - (21*s[83])/2 - 
       249*s[84] - 168*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*(-30*s[2] - (175*s[3])/2 - 
       (16035*s[4])/8 - (120531*s[5])/88 - (971593*s[6])/264 - 
       (12683849*s[7])/396 + (6273167*s[8])/2376 + (5830657*s[9])/216 + 
       (1784171*s[10])/216 + (56124053*s[11])/1584 + (61857403*s[12])/1584 + 
       (1036709*s[13])/44 + (3025789*s[14])/792 + (1501013*s[15])/36 + 
       (14201593*s[16])/264 + (64379875*s[17])/1584 + (3979475*s[18])/648 + 
       (2835817*s[19])/648 + (225699359*s[20])/3564 + (41003647*s[21])/1782 - 
       (60117889*s[22])/3564 - (6793425*s[23])/176 - (492382849*s[24])/
        14256 + (5793909179*s[25])/128304 - (3177017411*s[26])/128304 + 
       (3*s[30])/2 - 9*s[31] + (13*s[32])/2 + (65*s[33])/8 + (11*s[34])/2 - 
       5*s[35] + 66*s[36] - (643*s[37])/6 - 1123*s[38] + (18261*s[39])/4 - 
       (20565*s[40])/4 + (16051*s[41])/4 - (26397*s[42])/4 - 
       (174197*s[43])/44 + (374177*s[44])/88 - (598753*s[45])/132 + 
       (1176709*s[46])/33 - (309349*s[47])/198 - (276059*s[48])/396 + 
       (1775273*s[49])/99 - (3584213*s[50])/132 - (609635*s[51])/132 - 
       (2949197*s[52])/792 + (1227067*s[53])/66 - (27787*s[54])/33 + 
       (5181123*s[55])/44 + (3199006*s[56])/99 - (11012248*s[57])/297 + 
       (50942318*s[58])/891 - (101485045*s[59])/1782 - 
       (687886811*s[60])/2376 + (1009719925*s[61])/64152 + 6*s[70] + 
       3*s[71] - 18*s[72] + (37*s[74])/2 - (37*s[75])/2 + 18*s[76] - 
       5*s[77] - 10*s[78] - 424*s[79] + (325*s[80])/3 - 452*s[82] - 
       216*s[84] - 168*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*((-5*s[2])/2 - (1727*s[3])/12 - (34807*s[4])/24 - 
       (81577*s[5])/132 - (189509*s[6])/88 - (9867317*s[7])/528 + 
       (13509325*s[8])/7128 + (4971733*s[9])/324 + (361832*s[10])/81 + 
       (98678611*s[11])/4752 + (27693137*s[12])/1188 + 
       (66546325*s[13])/4752 + (4334503*s[14])/4752 + (10434983*s[15])/432 + 
       (9316522*s[16])/297 + (109915393*s[17])/4752 + (3295937*s[18])/972 + 
       (5307551*s[19])/1944 + (762984239*s[20])/21384 + 
       (531291157*s[21])/42768 - (414796253*s[22])/42768 - 
       (30545303*s[23])/1188 - (52634921*s[24])/2673 + 
       (1307127893*s[25])/48114 - (342349198*s[26])/24057 + (11*s[28])/3 + 
       18*s[29] - (34*s[30])/3 + (4*s[31])/3 - (14*s[32])/3 - (35*s[33])/12 + 
       4*s[34] + 21*s[35] + (740*s[36])/9 - (152*s[37])/3 - (1942*s[38])/3 + 
       (34937*s[39])/12 - (116507*s[40])/36 + (10179*s[41])/4 - 
       (154381*s[42])/36 - (956245*s[43])/396 + (267196*s[44])/99 - 
       (32371*s[45])/11 + (9226975*s[46])/396 - (1322897*s[47])/1188 - 
       (80731*s[48])/594 + (13463363*s[49])/1188 - (1773301*s[50])/99 - 
       (871765*s[51])/297 - (2754571*s[52])/1188 + (7438345*s[53])/594 - 
       (78319*s[54])/198 + (15606793*s[55])/198 + (25305737*s[56])/1188 - 
       (77873291*s[57])/3564 + (391475737*s[58])/10692 - 
       (197022011*s[59])/5346 - (1340128913*s[60])/7128 + 
       (2026071875*s[61])/192456 - s[62]/3 + (14*s[65])/3 + 10*s[66] - 
       (56*s[67])/3 - 28*s[69] - 8*s[70] - 4*s[71] - (74*s[72])/3 + 6*s[73] + 
       (133*s[74])/6 - (131*s[75])/6 + (28*s[76])/3 + (55*s[77])/3 - 
       (134*s[78])/3 - (656*s[79])/3 + 78*s[80] - 576*s[82] - 6*s[83] - 
       112*s[84] - 168*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*((-337*s[2])/6 + (575*s[3])/12 - 
       (25003*s[4])/24 - (168055*s[5])/132 - (695279*s[6])/264 - 
       (110959463*s[7])/4752 + (451019*s[8])/264 + (359945*s[9])/18 + 
       (19805*s[10])/3 + (40088171*s[11])/1584 + (892706*s[12])/33 + 
       (75716875*s[13])/4752 + (7407887*s[14])/1584 + (13661417*s[15])/432 + 
       (23689553*s[16])/594 + (152678423*s[17])/4752 + (379132*s[18])/81 + 
       (1976767*s[19])/648 + (344044915*s[20])/7128 + 
       (259596061*s[21])/14256 - (6517319*s[22])/528 - (14512255*s[23])/594 - 
       (29924861*s[24])/1188 + (2001501053*s[25])/64152 - 
       (1158498485*s[26])/64152 - (7*s[30])/3 - (68*s[31])/3 + (14*s[32])/3 - 
       (49*s[33])/6 + (103*s[34])/3 + 21*s[35] + (740*s[36])/9 - 
       (152*s[37])/3 - (1942*s[38])/3 + (34937*s[39])/12 - 
       (116507*s[40])/36 + (10179*s[41])/4 - (154381*s[42])/36 - 
       (956245*s[43])/396 + (267196*s[44])/99 - (32371*s[45])/11 + 
       (9226975*s[46])/396 - (1322897*s[47])/1188 - (80731*s[48])/594 + 
       (13463363*s[49])/1188 - (1773301*s[50])/99 - (871765*s[51])/297 - 
       (2754571*s[52])/1188 + (7438345*s[53])/594 - (78319*s[54])/198 + 
       (15606793*s[55])/198 + (25305737*s[56])/1188 - (77873291*s[57])/3564 + 
       (391475737*s[58])/10692 - (197022011*s[59])/5346 - 
       (1340128913*s[60])/7128 + (2026071875*s[61])/192456 - s[62]/3 + 
       (14*s[65])/3 + 10*s[66] - (56*s[67])/3 - 28*s[69] - 8*s[70] - 
       4*s[71] - (74*s[72])/3 + 6*s[73] + (133*s[74])/6 - (131*s[75])/6 + 
       (28*s[76])/3 + (55*s[77])/3 - (134*s[78])/3 - (656*s[79])/3 + 
       78*s[80] - 576*s[82] - 6*s[83] - 112*s[84] - 168*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      ((-15*s[2])/2 - (507*s[3])/8 + (20523*s[4])/16 + (135615*s[5])/176 + 
       (34575*s[6])/22 + (18069569*s[7])/1056 - (223975*s[8])/132 - 
       (705077*s[9])/48 - (179131*s[10])/48 - (6742701*s[11])/352 - 
       (3823213*s[12])/176 - (13658587*s[13])/1056 - (128147*s[14])/352 - 
       (2086217*s[15])/96 - (14797619*s[16])/528 - (20502695*s[17])/1056 - 
       (168947*s[18])/48 - (83219*s[19])/48 - (17339137*s[20])/528 - 
       (37438919*s[21])/3168 + (29212109*s[22])/3168 + (13815949*s[23])/528 + 
       (26976571*s[24])/1584 - (708608039*s[25])/28512 + 
       (375861407*s[26])/28512 + 21*s[30] + 6*s[31] + (3*s[32])/4 + 3*s[33] - 
       (75*s[34])/2 - 117*s[35] - 55*s[36] + (795*s[37])/4 + 770*s[38] - 
       (13621*s[39])/4 + (14705*s[40])/4 - 2829*s[41] + 5098*s[42] + 
       (93865*s[43])/44 - (28856*s[44])/11 + (138319*s[45])/88 - 
       (1575419*s[46])/88 + (20231*s[47])/11 - (59007*s[48])/44 - 
       (903467*s[49])/88 + (148908*s[50])/11 + (317381*s[51])/88 + 
       (62739*s[52])/22 - (2339737*s[53])/264 + (21895*s[54])/22 - 
       (3482353*s[55])/66 - (3928997*s[56])/264 + (14913091*s[57])/396 - 
       (39775727*s[58])/1188 + (77958373*s[59])/2376 + (6008615*s[60])/44 - 
       (283431305*s[61])/42768 - (3*s[62])/2 + (3*s[70])/2 + (15*s[71])/2 + 
       12*s[72] - (39*s[74])/2 + (39*s[75])/2 - 12*s[76] - (15*s[77])/2 + 
       12*s[78] + 366*s[79] - (261*s[80])/2 - 420*s[82] - 9*s[83] + 
       54*s[84] - 162*s[85]) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      ((-15*s[2])/2 - (609*s[3])/8 + (24981*s[4])/16 + (38019*s[5])/176 + 
       (124943*s[6])/88 + (14992111*s[7])/1056 - (1531391*s[8])/792 - 
       (1675481*s[9])/144 - (323365*s[10])/144 - (17370781*s[11])/1056 - 
       (10411279*s[12])/528 - (4355283*s[13])/352 + (2619041*s[14])/1056 - 
       (521833*s[15])/32 - (3961339*s[16])/176 - (14114273*s[17])/1056 - 
       (962953*s[18])/432 - (811229*s[19])/432 - (112105865*s[20])/4752 - 
       (69417211*s[21])/9504 + (71744405*s[22])/9504 + (4524123*s[23])/176 + 
       (66514891*s[24])/4752 - (1965575269*s[25])/85536 + 
       (903668545*s[26])/85536 + (9*s[30])/2 + 6*s[31] - (177*s[33])/8 - 
       27*s[34] - 117*s[35] - 55*s[36] + (795*s[37])/4 + 770*s[38] - 
       (13621*s[39])/4 + (14705*s[40])/4 - 2829*s[41] + 5098*s[42] + 
       (93865*s[43])/44 - (28856*s[44])/11 + (138319*s[45])/88 - 
       (1575419*s[46])/88 + (20231*s[47])/11 - (59007*s[48])/44 - 
       (903467*s[49])/88 + (148908*s[50])/11 + (317381*s[51])/88 + 
       (62739*s[52])/22 - (2339737*s[53])/264 + (21895*s[54])/22 - 
       (3482353*s[55])/66 - (3928997*s[56])/264 + (14913091*s[57])/396 - 
       (39775727*s[58])/1188 + (77958373*s[59])/2376 + (6008615*s[60])/44 - 
       (283431305*s[61])/42768 - (3*s[62])/2 + (3*s[70])/2 + (15*s[71])/2 + 
       12*s[72] - (39*s[74])/2 + (39*s[75])/2 - 12*s[76] - (15*s[77])/2 + 
       12*s[78] + 366*s[79] - (261*s[80])/2 - 420*s[82] - 9*s[83] + 
       54*s[84] - 162*s[85]) + HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      ((-15*s[2])/2 - (141*s[3])/8 + (16035*s[4])/16 + (85121*s[5])/176 + 
       (82549*s[6])/88 + (4212535*s[7])/352 - (1048997*s[8])/792 - 
       (1457399*s[9])/144 - (351907*s[10])/144 - (14229247*s[11])/1056 - 
       (8210377*s[12])/528 - (9627403*s[13])/1056 + (507635*s[14])/1056 - 
       (491467*s[15])/32 - (10403417*s[16])/528 - (14080987*s[17])/1056 - 
       (942613*s[18])/432 - (687317*s[19])/432 - (107082011*s[20])/4752 - 
       (72605341*s[21])/9504 + (61002839*s[22])/9504 + (10167319*s[23])/528 + 
       (58446061*s[24])/4752 - (1535302591*s[25])/85536 + 
       (772708903*s[26])/85536 + (39*s[30])/2 + 6*s[31] - 3*s[32] + 
       (15*s[33])/8 - (39*s[34])/2 - (87*s[35])/2 - (207*s[36])/4 + 
       (291*s[37])/2 + (903*s[38])/2 - (18333*s[39])/8 + (19821*s[40])/8 - 
       (14583*s[41])/8 + (28119*s[42])/8 + (114739*s[43])/88 - 
       (77995*s[44])/44 + (35449*s[45])/44 - (955587*s[46])/88 + 
       (46384*s[47])/33 - (349351*s[48])/264 - (1694621*s[49])/264 + 
       (176923*s[50])/22 + (312121*s[51])/132 + (495745*s[52])/264 - 
       (1418635*s[53])/264 + (49165*s[54])/44 - (2713487*s[55])/88 - 
       (766897*s[56])/88 + (7029581*s[57])/264 - (8405701*s[58])/396 + 
       (4147727*s[59])/198 + (126466427*s[60])/1584 - (4564829*s[61])/1188 - 
       (15*s[70])/2 + (33*s[71])/2 + 12*s[72] - 15*s[74] + 15*s[75] - 
       12*s[76] + (3*s[77])/2 + 12*s[78] + 228*s[79] - (297*s[80])/2 - 
       330*s[82] - 9*s[83] + 54*s[84] - 162*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      ((-15*s[2])/2 - (231*s[3])/8 + (13371*s[4])/16 + (28427*s[5])/176 + 
       (33239*s[6])/44 + (7145987*s[7])/1056 - (890047*s[8])/792 - 
       (780265*s[9])/144 - (83735*s[10])/144 - (8444897*s[11])/1056 - 
       (5237957*s[12])/528 - (2193343*s[13])/352 + (2001853*s[14])/1056 - 
       (676759*s[15])/96 - (1805471*s[16])/176 - (5657341*s[17])/1056 - 
       (570605*s[18])/432 - (211879*s[19])/432 - (48790525*s[20])/4752 - 
       (30416975*s[21])/9504 + (33759865*s[22])/9504 + (2827065*s[23])/176 + 
       (27239237*s[24])/4752 - (977333861*s[25])/85536 + 
       (438103973*s[26])/85536 + 3*s[30] + 6*s[31] - (3*s[32])/4 - 39*s[33] - 
       (3*s[34])/2 - (87*s[35])/2 - (207*s[36])/4 + (291*s[37])/2 + 
       (903*s[38])/2 - (18333*s[39])/8 + (19821*s[40])/8 - (14583*s[41])/8 + 
       (28119*s[42])/8 + (114739*s[43])/88 - (77995*s[44])/44 + 
       (35449*s[45])/44 - (955587*s[46])/88 + (46384*s[47])/33 - 
       (349351*s[48])/264 - (1694621*s[49])/264 + (176923*s[50])/22 + 
       (312121*s[51])/132 + (495745*s[52])/264 - (1418635*s[53])/264 + 
       (49165*s[54])/44 - (2713487*s[55])/88 - (766897*s[56])/88 + 
       (7029581*s[57])/264 - (8405701*s[58])/396 + (4147727*s[59])/198 + 
       (126466427*s[60])/1584 - (4564829*s[61])/1188 - (15*s[70])/2 + 
       (33*s[71])/2 + 12*s[72] - 15*s[74] + 15*s[75] - 12*s[76] + 
       (3*s[77])/2 + 12*s[78] + 228*s[79] - (297*s[80])/2 - 330*s[82] - 
       9*s[83] + 54*s[84] - 162*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - v]*((-125*s[2])/4 + (1297*s[3])/24 - 
       (136213*s[4])/48 - (533713*s[5])/264 - (2667985*s[6])/528 - 
       (435062413*s[7])/9504 + (17910533*s[8])/4752 + (4190113*s[9])/108 + 
       (1264421*s[10])/108 + (53179955*s[11])/1056 + (10948087*s[12])/198 + 
       (316988129*s[13])/9504 + (1897381*s[14])/352 + (51971083*s[15])/864 + 
       (45468095*s[16])/594 + (552520285*s[17])/9504 + (312527*s[18])/36 + 
       (2652419*s[19])/432 + (143285105*s[20])/1584 + 
       (941388079*s[21])/28512 - (689262391*s[22])/28512 - 
       (32814493*s[23])/594 - (348191881*s[24])/7128 + 
       (8225819405*s[25])/128304 - (4530610277*s[26])/128304 - (23*s[30])/6 - 
       (28*s[31])/3 + 18*s[32] + 15*s[33] + (233*s[34])/6 + (99*s[35])/2 + 
       (2339*s[36])/18 - (6347*s[37])/36 - (10363*s[38])/6 + 6939*s[39] - 
       (139757*s[40])/18 + (74105*s[41])/12 - (180745*s[42])/18 - 
       (603161*s[43])/99 + (10197611*s[44])/1584 - (5281201*s[45])/792 + 
       (42488483*s[46])/792 - (10924453*s[47])/4752 - (4003429*s[48])/4752 + 
       (130917559*s[49])/4752 - (4086683*s[50])/99 - (32808461*s[51])/4752 - 
       (26447219*s[52])/4752 + (33886625*s[53])/1188 - (111728*s[54])/99 + 
       (95243321*s[55])/528 + (75478475*s[56])/1584 - (13256053*s[57])/264 + 
       (1198441523*s[58])/14256 - (1215735629*s[59])/14256 - 
       (12489737431*s[60])/28512 + (2938791379*s[61])/128304 + 10*s[66] - 
       9*s[67] + 10*s[68] - 30*s[69] + 14*s[70] + 9*s[71] - 33*s[72] + 
       (47*s[73])/3 + (141*s[74])/4 - (135*s[75])/4 + 8*s[76] + 
       (11*s[77])/6 - (127*s[78])/3 - 684*s[79] + (2515*s[80])/18 - 
       98*s[82] + (23*s[83])/2 - 285*s[84] - 152*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*
      ((-247*s[2])/12 - (1645*s[3])/24 - (7859*s[4])/16 - (164893*s[5])/264 - 
       (241607*s[6])/176 - (114500695*s[7])/9504 + (1270267*s[8])/1584 + 
       (81641*s[9])/8 + (136051*s[10])/36 + (41271019*s[11])/3168 + 
       (454019*s[12])/33 + (76637855*s[13])/9504 + (8774851*s[14])/3168 + 
       (14433733*s[15])/864 + (24923341*s[16])/1188 + 
       (164506819*s[17])/9504 + (726151*s[18])/324 + (2631053*s[19])/1296 + 
       (361947053*s[20])/14256 + (270175049*s[21])/28512 - 
       (59899907*s[22])/9504 - (24537493*s[23])/2376 - (5520847*s[24])/396 + 
       (256675559*s[25])/16038 - (298613323*s[26])/32076 + (10*s[30])/3 - 
       3*s[31] + (7*s[32])/6 - (25*s[33])/24 - 10*s[34] - 10*s[35] + 
       (799*s[36])/36 + (1297*s[37])/36 - (2747*s[38])/12 + 
       (41035*s[39])/48 - (144733*s[40])/144 + (12919*s[41])/16 - 
       (162995*s[42])/144 - (1748831*s[43])/1584 + (3360727*s[44])/3168 - 
       (175097*s[45])/99 + (17821585*s[46])/1584 + (761395*s[47])/9504 - 
       (9316739*s[48])/9504 + (49027295*s[49])/9504 - (3539039*s[50])/396 - 
       (6681511*s[51])/9504 - (5165401*s[52])/9504 + (15009553*s[53])/2376 + 
       (233293*s[54])/396 + (132108785*s[55])/3168 + (3696431*s[56])/352 + 
       (75829*s[57])/594 + (425620097*s[58])/28512 - (440459519*s[59])/
        28512 - (5576690621*s[60])/57024 + (471420605*s[61])/85536 - s[67] + 
       2*s[68] - 3*s[69] - 8*s[70] + (3*s[71])/2 - 2*s[72] - (3*s[73])/2 - 
       s[74]/2 + (2*s[75])/3 + 3*s[76] + (22*s[77])/3 + (7*s[78])/6 - s[79] - 
       (46*s[80])/9 - 790*s[82] + (5*s[83])/4 - (75*s[84])/2 - 146*s[85]) + 
     HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*(23*s[2] - (321*s[3])/2 - 
       (5077*s[4])/4 - (17*s[5])/2 - (6699*s[6])/4 - (912289*s[7])/72 + 
       (144401*s[8])/108 + (561337*s[9])/54 + (68527*s[10])/27 + 
       (1055051*s[11])/72 + (157847*s[12])/9 + (798865*s[13])/72 + 
       (6107*s[14])/72 + (1006153*s[15])/72 + (178922*s[16])/9 + 
       (284843*s[17])/24 + (381011*s[18])/162 + (452585*s[19])/324 + 
       (7526083*s[20])/324 + (4710425*s[21])/648 - (4310593*s[22])/648 - 
       (167746*s[23])/9 - (2146969*s[24])/162 + (14422105*s[25])/729 - 
       (7097068*s[26])/729 - 52*s[30] + 20*s[31] - 12*s[32] + (21*s[33])/2 - 
       44*s[34] + 64*s[35] - 78*s[36] - (70*s[37])/3 - 686*s[38] + 
       (4491*s[39])/2 - (5587*s[40])/2 + (4403*s[41])/2 - (6245*s[42])/2 - 
       (50157*s[43])/22 + (25170*s[44])/11 - (81283*s[45])/33 + 
       (1225559*s[46])/66 - (16009*s[47])/33 - (84851*s[48])/66 + 
       (308287*s[49])/33 - (152369*s[50])/11 - (54259*s[51])/22 - 
       (138403*s[52])/66 + (869540*s[53])/99 - (45677*s[54])/33 + 
       (3891793*s[55])/66 + (1730461*s[56])/99 - (11673635*s[57])/594 + 
       (26893571*s[58])/891 - (51453181*s[59])/1782 - (5165087*s[60])/33 + 
       (262380191*s[61])/32076 + 2*s[64] - 10*s[65] - 24*s[66] + 20*s[67] - 
       2*s[68] + 50*s[69] - 64*s[70] + 22*s[71] + 20*s[72] - 4*s[73] - 
       9*s[74] + 6*s[75] - 8*s[76] + 54*s[77] + 84*s[78] - 624*s[79] + 
       (556*s[80])/3 + s[81]/3 - 156*s[82] + 36*s[83] - 192*s[84] - 
       144*s[85]) + HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      (-28*s[2] + (209*s[3])/2 - (3521*s[4])/4 - (22879*s[5])/22 - 
       (113297*s[6])/44 - (16528717*s[7])/792 + (138883*s[8])/132 + 
       18264*s[9] + (17695*s[10])/3 + (6066145*s[11])/264 + 
       (272280*s[12])/11 + (12118217*s[13])/792 + (1283173*s[14])/264 + 
       (1967059*s[15])/72 + (3450292*s[16])/99 + (21484117*s[17])/792 + 
       (106030*s[18])/27 + (300677*s[19])/108 + (51435437*s[20])/1188 + 
       (38917919*s[21])/2376 - (8880725*s[22])/792 - (1867301*s[23])/99 - 
       (1557859*s[24])/66 + (301793995*s[25])/10692 - 
       (176047579*s[26])/10692 - 2*s[28] - 36*s[29] + 10*s[30] - 36*s[31] + 
       2*s[32] + 50*s[33] - 22*s[34] + 64*s[35] - 78*s[36] - (70*s[37])/3 - 
       686*s[38] + (4491*s[39])/2 - (5587*s[40])/2 + (4403*s[41])/2 - 
       (6245*s[42])/2 - (50157*s[43])/22 + (25170*s[44])/11 - 
       (81283*s[45])/33 + (1225559*s[46])/66 - (16009*s[47])/33 - 
       (84851*s[48])/66 + (308287*s[49])/33 - (152369*s[50])/11 - 
       (54259*s[51])/22 - (138403*s[52])/66 + (869540*s[53])/99 - 
       (45677*s[54])/33 + (3891793*s[55])/66 + (1730461*s[56])/99 - 
       (11673635*s[57])/594 + (26893571*s[58])/891 - (51453181*s[59])/1782 - 
       (5165087*s[60])/33 + (262380191*s[61])/32076 + 2*s[64] - 10*s[65] - 
       24*s[66] + 20*s[67] - 2*s[68] + 50*s[69] - 64*s[70] + 22*s[71] + 
       20*s[72] - 4*s[73] - 9*s[74] + 6*s[75] - 8*s[76] + 54*s[77] + 
       84*s[78] - 624*s[79] + (556*s[80])/3 + s[81]/3 - 156*s[82] + 
       36*s[83] - 192*s[84] - 144*s[85]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*(-19*s[2] - (86*s[3])/3 - 
       (7087*s[4])/12 - (25229*s[5])/44 - (15053*s[6])/11 - 
       (2330287*s[7])/198 + (1552931*s[8])/1782 + (1609987*s[9])/162 + 
       (1108909*s[10])/324 + (15099713*s[11])/1188 + (4029928*s[12])/297 + 
       (9392087*s[13])/1188 + (720773*s[14])/297 + (862553*s[15])/54 + 
       (11991877*s[16])/594 + (19491005*s[17])/1188 + (575971*s[18])/243 + 
       (398534*s[19])/243 + (65165141*s[20])/2673 + (96388445*s[21])/10692 - 
       (16433452*s[22])/2673 - (14286559*s[23])/1188 - 
       (137251729*s[24])/10692 + (756312163*s[25])/48114 - 
       (432886543*s[26])/48114 + s[30] - 2*s[31] - (5*s[32])/3 + 
       (5*s[33])/4 - (11*s[34])/3 + 10*s[35] + 12*s[36] + (139*s[37])/9 - 
       270*s[38] + (7597*s[39])/6 - (8789*s[40])/6 + (7255*s[41])/6 - 
       (11101*s[42])/6 - (76955*s[43])/66 + (28543*s[44])/22 - 
       (359281*s[45])/198 + (1275713*s[46])/99 - (11471*s[47])/33 - 
       (31555*s[48])/66 + (61037*s[49])/11 - (110612*s[50])/11 - 
       (267461*s[51])/198 - (32909*s[52])/33 + (4200677*s[53])/594 - 
       (15574*s[54])/99 + (9006871*s[55])/198 + (3668726*s[56])/297 - 
       (11644657*s[57])/1782 + (100692149*s[58])/5346 - 
       (100482521*s[59])/5346 - (125858507*s[60])/1188 + 
       (301855733*s[61])/48114 - 12*s[70] + (4*s[71])/3 - 4*s[72] + 
       (4*s[73])/3 + (35*s[74])/3 - 11*s[75] + 4*s[76] + 10*s[77] - 
       (400*s[79])/3 + (482*s[80])/9 - 456*s[82] - 6*s[83] - 100*s[84] - 
       144*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 1 - w]*
      (-81*s[2] + (93*s[3])/2 + (7179*s[4])/4 + (12807*s[5])/22 + 
       (53403*s[6])/44 + (4963633*s[7])/264 - (829999*s[8])/396 - 
       (141173*s[9])/9 - (37279*s[10])/9 - (5716687*s[11])/264 - 
       (1663661*s[12])/66 - (1328499*s[13])/88 + (519401*s[14])/264 - 
       (190101*s[15])/8 - (686221*s[16])/22 - (5456225*s[17])/264 - 
       (75901*s[18])/27 - (401891*s[19])/108 - (40994003*s[20])/1188 - 
       (26862133*s[21])/2376 + (23884061*s[22])/2376 + (310920*s[23])/11 + 
       (12053693*s[24])/594 - (313203119*s[25])/10692 + 
       (152376179*s[26])/10692 - 6*s[28] - 84*s[29] + 18*s[30] - 84*s[31] + 
       63*s[33] - 78*s[34] + 174*s[35] - 444*s[36] + 187*s[37] + 1260*s[38] - 
       4680*s[39] + 4888*s[40] - 3642*s[41] + 6551*s[42] + (40592*s[43])/11 - 
       (178523*s[44])/44 + (59735*s[45])/22 - (587949*s[46])/22 + 
       (230557*s[47])/132 - (84395*s[48])/132 - (2373703*s[49])/132 + 
       (230993*s[50])/11 + (525689*s[51])/132 + (442355*s[52])/132 - 
       (155295*s[53])/11 - (21759*s[54])/11 - (3743019*s[55])/44 - 
       (2442089*s[56])/132 + (7332535*s[57])/198 - (52525657*s[58])/1188 + 
       (55750735*s[59])/1188 + (174132523*s[60])/792 - 
       (94651483*s[61])/10692 - 6*s[64] - 18*s[65] - 24*s[66] + 36*s[67] - 
       12*s[68] + 60*s[69] - 168*s[70] + 30*s[71] + 36*s[72] - 36*s[73] - 
       27*s[74] + 15*s[75] - 12*s[76] + 174*s[77] + 84*s[78] + 72*s[79] + 
       8*s[80] + s[81] - 72*s[82] - 72*s[84] - 144*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 1}, 1 - v]*(51*s[2] - (177*s[3])/2 + 
       (7917*s[4])/4 + (13410*s[5])/11 + (107751*s[6])/44 + 
       (7329937*s[7])/264 - (957667*s[8])/396 - (209714*s[9])/9 - 
       (127205*s[10])/18 - (8243395*s[11])/264 - (1139233*s[12])/33 - 
       (1886699*s[13])/88 + (124973*s[14])/264 - (298725*s[15])/8 - 
       (517428*s[16])/11 - (9243461*s[17])/264 - (91078*s[18])/27 - 
       (664355*s[19])/108 - (61324883*s[20])/1188 - (42671725*s[21])/2376 + 
       (35235785*s[22])/2376 + (750841*s[23])/22 + (9516244*s[24])/297 - 
       (442104185*s[25])/10692 + (223408793*s[26])/10692 - 48*s[30] + 
       36*s[31] - 54*s[32] + (45*s[33])/2 - 72*s[34] + 174*s[35] - 
       444*s[36] + 187*s[37] + 1260*s[38] - 4680*s[39] + 4888*s[40] - 
       3642*s[41] + 6551*s[42] + (40592*s[43])/11 - (178523*s[44])/44 + 
       (59735*s[45])/22 - (587949*s[46])/22 + (230557*s[47])/132 - 
       (84395*s[48])/132 - (2373703*s[49])/132 + (230993*s[50])/11 + 
       (525689*s[51])/132 + (442355*s[52])/132 - (155295*s[53])/11 - 
       (21759*s[54])/11 - (3743019*s[55])/44 - (2442089*s[56])/132 + 
       (7332535*s[57])/198 - (52525657*s[58])/1188 + (55750735*s[59])/1188 + 
       (174132523*s[60])/792 - (94651483*s[61])/10692 - 6*s[64] - 18*s[65] - 
       24*s[66] + 36*s[67] - 12*s[68] + 60*s[69] - 168*s[70] + 30*s[71] + 
       36*s[72] - 36*s[73] - 27*s[74] + 15*s[75] - 12*s[76] + 174*s[77] + 
       84*s[78] + 72*s[79] + 8*s[80] + s[81] - 72*s[82] - 72*s[84] - 
       144*s[85]) + HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - v]*
      ((13*s[2])/4 + (1315*s[3])/8 + (8863*s[4])/16 + (2397*s[5])/44 + 
       (241037*s[6])/176 + (14412005*s[7])/3168 - (1071085*s[8])/1584 - 
       (70579*s[9])/18 + (50797*s[10])/72 - (1854631*s[11])/352 - 
       (1873187*s[12])/264 - (14596441*s[13])/3168 - (359939*s[14])/352 - 
       (879323*s[15])/288 - (3998815*s[16])/792 - (2470601*s[17])/3168 - 
       (87107*s[18])/36 + (354613*s[19])/144 - (13294507*s[20])/1584 - 
       (34348295*s[21])/9504 + (22422827*s[22])/9504 + (11539061*s[23])/792 + 
       (929059*s[24])/1188 - (286431601*s[25])/42768 + 
       (190162057*s[26])/42768 + 174*s[30] + 7*s[31] + (33*s[32])/2 + 
       (193*s[33])/8 - 24*s[34] - (241*s[35])/2 + (401*s[36])/6 + 
       (781*s[37])/12 + (1435*s[38])/2 - 1986*s[39] + (13771*s[40])/6 - 
       (7135*s[41])/4 + (8746*s[42])/3 + (57544*s[43])/33 - 
       (776767*s[44])/528 + (409835*s[45])/264 - (3282625*s[46])/264 + 
       (1349429*s[47])/1584 - (97819*s[48])/1584 - (8130431*s[49])/1584 + 
       (517925*s[50])/66 + (3665821*s[51])/1584 + (3591319*s[52])/1584 - 
       (541687*s[53])/99 + (280673*s[54])/66 - (19699435*s[55])/528 - 
       (7422043*s[56])/528 + (6324491*s[57])/264 - (113959015*s[58])/4752 + 
       (108459013*s[59])/4752 + (878228507*s[60])/9504 - 
       (241059473*s[61])/42768 + 4*s[64] + 16*s[65] + 16*s[66] - 33*s[67] + 
       8*s[68] - 56*s[69] + 112*s[70] - 44*s[71] + 3*s[72] + 13*s[73] + 
       (49*s[74])/4 + (13*s[75])/4 - 12*s[76] - (259*s[77])/2 - 29*s[78] + 
       520*s[79] - (305*s[80])/6 - (2*s[81])/3 - 1842*s[82] - 24*s[83] + 
       138*s[84] - 144*s[85]) + HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - w]*
      ((-65*s[2])/4 - (453*s[3])/8 + (18477*s[4])/16 + (70423*s[5])/88 + 
       (432501*s[6])/176 + (56402933*s[7])/3168 - (1952113*s[8])/1584 - 
       (556049*s[9])/36 - (142303*s[10])/36 - (6925755*s[11])/352 - 
       (709978*s[12])/33 - (44217865*s[13])/3168 - (697935*s[14])/352 - 
       (6809675*s[15])/288 - (11433533*s[16])/396 - (69431741*s[17])/3168 - 
       (27517*s[18])/9 - (106325*s[19])/48 - (53885939*s[20])/1584 - 
       (123002015*s[21])/9504 + (89347655*s[22])/9504 + (8997289*s[23])/396 + 
       (45566753*s[24])/2376 - (1083029995*s[25])/42768 + 
       (612933031*s[26])/42768 + 4*s[28] + 64*s[29] + (7*s[30])/2 + 
       52*s[31] + 2*s[32] - 140*s[33] + (49*s[34])/2 - (241*s[35])/2 + 
       (401*s[36])/6 + (781*s[37])/12 + (1435*s[38])/2 - 1986*s[39] + 
       (13771*s[40])/6 - (7135*s[41])/4 + (8746*s[42])/3 + (57544*s[43])/33 - 
       (776767*s[44])/528 + (409835*s[45])/264 - (3282625*s[46])/264 + 
       (1349429*s[47])/1584 - (97819*s[48])/1584 - (8130431*s[49])/1584 + 
       (517925*s[50])/66 + (3665821*s[51])/1584 + (3591319*s[52])/1584 - 
       (541687*s[53])/99 + (280673*s[54])/66 - (19699435*s[55])/528 - 
       (7422043*s[56])/528 + (6324491*s[57])/264 - (113959015*s[58])/4752 + 
       (108459013*s[59])/4752 + (878228507*s[60])/9504 - 
       (241059473*s[61])/42768 + 4*s[64] + 16*s[65] + 16*s[66] - 33*s[67] + 
       8*s[68] - 56*s[69] + 112*s[70] - 44*s[71] + 3*s[72] + 13*s[73] + 
       (49*s[74])/4 + (13*s[75])/4 - 12*s[76] - (259*s[77])/2 - 29*s[78] + 
       520*s[79] - (305*s[80])/6 - (2*s[81])/3 - 1842*s[82] - 24*s[83] + 
       138*s[84] - 144*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*((-109*s[2])/12 - 
       (911*s[3])/72 - (19215*s[4])/16 - (332921*s[5])/396 - 
       (1099561*s[6])/528 - (180472231*s[7])/9504 + (66753571*s[8])/42768 + 
       (31303747*s[9])/1944 + (9536129*s[10])/1944 + (594754411*s[11])/
        28512 + (325688713*s[12])/14256 + (391660345*s[13])/28512 + 
       (69872767*s[14])/28512 + (65294327*s[15])/2592 + 
       (114073301*s[16])/3564 + (699961861*s[17])/28512 + 
       (41228791*s[18])/11664 + (7752905*s[19])/2916 + 
       (4857225203*s[20])/128304 + (3534890833*s[21])/256608 - 
       (2572591475*s[22])/256608 - (80471329*s[23])/3564 - 
       (2641271749*s[24])/128304 + (1913694809*s[25])/72171 - 
       (16891390889*s[26])/1154736 + s[28]/2 + 2*s[29] + (5*s[30])/9 - 
       (8*s[31])/3 + (163*s[32])/36 - (659*s[33])/36 - (109*s[34])/18 + 
       (85*s[35])/18 + (1033*s[36])/36 - (6419*s[37])/108 - 
       (26537*s[38])/36 + (143579*s[39])/48 - (491365*s[40])/144 + 
       (386579*s[41])/144 - (625187*s[42])/144 - (1359689*s[43])/528 + 
       (1111241*s[44])/396 - (3641141*s[45])/1188 + (113405111*s[46])/4752 - 
       (92045*s[47])/88 - (441101*s[48])/1584 + (9307547*s[49])/792 - 
       (3648335*s[50])/198 - (14537689*s[51])/4752 - (3908791*s[52])/1584 + 
       (179708659*s[53])/14256 - (152227*s[54])/297 + 
       (383658887*s[55])/4752 + (154943419*s[56])/7128 - 
       (978514025*s[57])/42768 + (4863269827*s[58])/128304 - 
       (4885008283*s[59])/128304 - (697306505*s[60])/3564 + 
       (6092713133*s[61])/577368 + s[64] + s[65]/2 - 3*s[67] + (2*s[68])/3 + 
       (4*s[69])/3 - (17*s[70])/3 + (7*s[71])/12 - (11*s[72])/3 + 
       (26*s[73])/3 + (475*s[74])/36 - (367*s[75])/36 - (7*s[76])/3 + 
       (283*s[77])/18 + (61*s[78])/9 - (3365*s[79])/9 + (5917*s[80])/54 - 
       (929*s[82])/3 + (29*s[83])/2 - 161*s[84] - (412*s[85])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((-34*s[2])/3 - 29*s[3] - (599*s[4])/4 - (18547*s[5])/66 - 
       (23937*s[6])/44 - (184049*s[7])/33 + (95441*s[8])/297 + 
       (1024319*s[9])/216 + (113269*s[10])/54 + (2335549*s[11])/396 + 
       (2366675*s[12])/396 + (332161*s[13])/99 + (662293*s[14])/396 + 
       (147479*s[15])/18 + (3970543*s[16])/396 + (3505765*s[17])/396 + 
       (276281*s[18])/324 + (417103*s[19])/324 + (43948423*s[20])/3564 + 
       (15824833*s[21])/3564 - (2596832*s[22])/891 - (2161045*s[23])/792 - 
       (24862499*s[24])/3564 + (227194465*s[25])/32076 - 
       (32957011*s[26])/8019 - 5*s[32] - (89*s[33])/24 - (37*s[34])/6 + 
       (44*s[35])/3 + (119*s[36])/36 + (563*s[37])/18 - (305*s[38])/4 + 
       (15557*s[39])/48 - (59099*s[40])/144 + (17915*s[41])/48 - 
       (57709*s[42])/144 - (914641*s[43])/1584 + (1828103*s[44])/3168 - 
       (793819*s[45])/792 + (3298139*s[46])/528 + (1958579*s[47])/9504 - 
       (7261159*s[48])/9504 + (27981823*s[49])/9504 - (528322*s[50])/99 - 
       (2654987*s[51])/9504 - (679157*s[52])/9504 + (652549*s[53])/176 + 
       (217153*s[54])/264 + (26016847*s[55])/1056 + (51590237*s[56])/9504 + 
       (16604933*s[57])/3564 + (585321235*s[58])/85536 - 
       (628962937*s[59])/85536 - (3298769773*s[60])/57024 + 
       (2299074103*s[61])/769824 - 20*s[70] - (7*s[71])/4 - (2*s[74])/3 + 
       (2*s[75])/3 + 20*s[77] - (82*s[79])/3 + (259*s[80])/18 - 811*s[82] - 
       136*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*(-4*s[2] - (25*s[3])/2 - (6121*s[4])/4 - 
       (44309*s[5])/44 - (60905*s[6])/22 - (19776121*s[7])/792 + 
       (595894*s[8])/297 + (2274587*s[9])/108 + (735031*s[10])/108 + 
       (21807433*s[11])/792 + (2988169*s[12])/99 + (4814357*s[13])/264 + 
       (2684389*s[14])/792 + (263829*s[15])/8 + (1860253*s[16])/44 + 
       (25636949*s[17])/792 + (1432759*s[18])/324 + (1263923*s[19])/324 + 
       (177830447*s[20])/3564 + (128297197*s[21])/7128 - 
       (94022243*s[22])/7128 - (1818811*s[23])/66 - (49622459*s[24])/1782 + 
       (2244501565*s[25])/64152 - (1232492029*s[26])/64152 + 4*s[29] + 
       12*s[31] + 2*s[32] + 6*s[33] - 28*s[34] + 14*s[35] + (211*s[36])/3 - 
       71*s[37] - 891*s[38] + (14283*s[39])/4 - (49525*s[40])/12 + 
       (13029*s[41])/4 - (61667*s[42])/12 - (431999*s[43])/132 + 
       (929617*s[44])/264 - (37593*s[45])/11 + (3672857*s[46])/132 - 
       (797987*s[47])/792 - (646649*s[48])/792 + (11832929*s[49])/792 - 
       (715823*s[50])/33 - (2806453*s[51])/792 - (2235859*s[52])/792 + 
       (5784643*s[53])/396 - (3257*s[54])/66 + (24593135*s[55])/264 + 
       (19155179*s[56])/792 - (15200135*s[57])/594 + (309031429*s[58])/7128 - 
       (313356091*s[59])/7128 - (1104141287*s[60])/4752 + 
       (752287423*s[61])/64152 + 2*s[64] + 2*s[65] + 2*s[66] - 4*s[67] - 
       4*s[68] - 6*s[69] - 2*s[71] - 8*s[72] + 8*s[73] + 10*s[74] - 8*s[75] - 
       16*s[76] + 4*s[77] + 2*s[78] - 504*s[79] + 176*s[80] - 596*s[82] + 
       15*s[83] - 114*s[84] - 136*s[85]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*(s[2] - 10*s[3] - 
       1707*s[4] - (39667*s[5])/44 - (116189*s[6])/44 - (9933815*s[7])/396 + 
       (851443*s[8])/396 + (761951*s[9])/36 + (233209*s[10])/36 + 
       (3675043*s[11])/132 + (2039453*s[12])/66 + (7444555*s[13])/396 + 
       (283027*s[14])/132 + (295172*s[15])/9 + (8330279*s[16])/198 + 
       (6196027*s[17])/198 + (450923*s[18])/108 + (110722*s[19])/27 + 
       (14551012*s[20])/297 + (1129345*s[21])/66 - (15786301*s[22])/1188 - 
       (11627195*s[23])/396 - (33143947*s[24])/1188 + 
       (256910567*s[25])/7128 - (136117427*s[26])/7128 + 3*s[32] - 
       (11*s[33])/2 + 2*s[34] + 14*s[35] + (211*s[36])/3 - 71*s[37] - 
       891*s[38] + (14283*s[39])/4 - (49525*s[40])/12 + (13029*s[41])/4 - 
       (61667*s[42])/12 - (431999*s[43])/132 + (929617*s[44])/264 - 
       (37593*s[45])/11 + (3672857*s[46])/132 - (797987*s[47])/792 - 
       (646649*s[48])/792 + (11832929*s[49])/792 - (715823*s[50])/33 - 
       (2806453*s[51])/792 - (2235859*s[52])/792 + (5784643*s[53])/396 - 
       (3257*s[54])/66 + (24593135*s[55])/264 + (19155179*s[56])/792 - 
       (15200135*s[57])/594 + (309031429*s[58])/7128 - 
       (313356091*s[59])/7128 - (1104141287*s[60])/4752 + 
       (752287423*s[61])/64152 + 2*s[64] + 2*s[65] + 2*s[66] - 4*s[67] - 
       4*s[68] - 6*s[69] - 2*s[71] - 8*s[72] + 8*s[73] + 10*s[74] - 8*s[75] - 
       16*s[76] + 4*s[77] + 2*s[78] - 504*s[79] + 176*s[80] - 596*s[82] + 
       15*s[83] - 114*s[84] - 136*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w]*((17*s[2])/4 - (305*s[3])/8 - 
       (32673*s[4])/16 - (13569*s[5])/11 - (589953*s[6])/176 - 
       (97739779*s[7])/3168 + (11838935*s[8])/4752 + (5637047*s[9])/216 + 
       (1734619*s[10])/216 + (108158603*s[11])/3168 + (59563331*s[12])/1584 + 
       (72210739*s[13])/3168 + (10901153*s[14])/3168 + (11649509*s[15])/288 + 
       (41065615*s[16])/792 + (41403871*s[17])/1056 + (1766237*s[18])/324 + 
       (6167641*s[19])/1296 + (867839029*s[20])/14256 + 
       (617814443*s[21])/28512 - (465355639*s[22])/28512 - 
       (57035119*s[23])/1584 - (482865605*s[24])/14256 + 
       (2809174067*s[25])/64152 - (378695531*s[26])/16038 + 2*s[27] - 
       5*s[30] + 7*s[31] + (13*s[32])/2 + (165*s[33])/8 - 3*s[34] + 
       (45*s[35])/2 + (559*s[36])/6 - (949*s[37])/12 - (2245*s[38])/2 + 
       4420*s[39] - (30121*s[40])/6 + (15991*s[41])/4 - (38171*s[42])/6 - 
       (128944*s[43])/33 + (1116497*s[44])/264 - (1126673*s[45])/264 + 
       (9039103*s[46])/264 - (270043*s[47])/198 - (79961*s[48])/99 + 
       (1764230*s[49])/99 - (3483331*s[50])/132 - (1784881*s[51])/396 - 
       (2804705*s[52])/792 + (1772707*s[53])/99 - (71881*s[54])/132 + 
       (7511083*s[55])/66 + (4005731*s[56])/132 - (13146625*s[57])/396 + 
       (21366847*s[58])/396 - (7171579*s[59])/132 - (1339080421*s[60])/4752 + 
       (77961329*s[61])/5346 + 3*s[68] - 3*s[69] + 3*s[70] + 6*s[71] - 
       15*s[72] + 11*s[73] + (93*s[74])/4 - (93*s[75])/4 + 3*s[76] + 
       (5*s[77])/2 - 7*s[78] - 534*s[79] + (785*s[80])/6 - 414*s[82] - 
       (21*s[83])/2 - 243*s[84] - 132*s[85]) + HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*((-123*s[2])/4 + 
       (19*s[3])/8 - (30731*s[4])/16 - (108899*s[5])/88 - (592633*s[6])/176 - 
       (32319535*s[7])/1056 + (11882041*s[8])/4752 + (1397917*s[9])/54 + 
       (1718933*s[10])/216 + (107168569*s[11])/3168 + (59127895*s[12])/1584 + 
       (71161069*s[13])/3168 + (11238175*s[14])/3168 + (11506715*s[15])/288 + 
       (5079368*s[16])/99 + (122254303*s[17])/3168 + (453748*s[18])/81 + 
       (5684591*s[19])/1296 + (864547865*s[20])/14256 + 
       (621260617*s[21])/28512 - (461900645*s[22])/28512 - 
       (56850151*s[23])/1584 - (473842495*s[24])/14256 + 
       (2772318319*s[25])/64152 - (1508301097*s[26])/64152 - (45*s[30])/2 - 
       10*s[31] + 9*s[32] + (3*s[33])/4 + (23*s[34])/2 + (45*s[35])/2 + 
       (559*s[36])/6 - (949*s[37])/12 - (2245*s[38])/2 + 4420*s[39] - 
       (30121*s[40])/6 + (15991*s[41])/4 - (38171*s[42])/6 - 
       (128944*s[43])/33 + (1116497*s[44])/264 - (1126673*s[45])/264 + 
       (9039103*s[46])/264 - (270043*s[47])/198 - (79961*s[48])/99 + 
       (1764230*s[49])/99 - (3483331*s[50])/132 - (1784881*s[51])/396 - 
       (2804705*s[52])/792 + (1772707*s[53])/99 - (71881*s[54])/132 + 
       (7511083*s[55])/66 + (4005731*s[56])/132 - (13146625*s[57])/396 + 
       (21366847*s[58])/396 - (7171579*s[59])/132 - (1339080421*s[60])/4752 + 
       (77961329*s[61])/5346 + 3*s[68] - 3*s[69] + 3*s[70] + 6*s[71] - 
       15*s[72] + 11*s[73] + (93*s[74])/4 - (93*s[75])/4 + 3*s[76] + 
       (5*s[77])/2 - 7*s[78] - 534*s[79] + (785*s[80])/6 - 414*s[82] - 
       (21*s[83])/2 - 243*s[84] - 132*s[85]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((47*s[2])/4 - (1777*s[3])/8 - (14525*s[4])/16 - (5758*s[5])/11 - 
       (267255*s[6])/176 - (13795333*s[7])/1056 + (5642309*s[8])/4752 + 
       (1160881*s[9])/108 + (759775*s[10])/216 + (45110909*s[11])/3168 + 
       (6131171*s[12])/396 + (29162159*s[13])/3168 + (4872077*s[14])/3168 + 
       (5172961*s[15])/288 + (4454459*s[16])/198 + (56322587*s[17])/3168 + 
       (378145*s[18])/162 + (2861485*s[19])/1296 + (370227889*s[20])/14256 + 
       (262371875*s[21])/28512 - (191068327*s[22])/28512 - 
       (12325567*s[23])/792 - (12931736*s[24])/891 + (2350659451*s[25])/
        128304 - (1276975759*s[26])/128304 + 4*s[29] - 6*s[30] + 5*s[31] - 
       (33*s[32])/2 + (21*s[33])/8 - 17*s[34] - (11*s[35])/2 + (19*s[36])/2 + 
       (115*s[37])/12 - (729*s[38])/2 + (2867*s[39])/2 - 1638*s[40] + 
       (5133*s[41])/4 - 2013*s[42] - (32647*s[43])/22 + (262401*s[44])/176 - 
       (616777*s[45])/264 + (4089583*s[46])/264 - (52801*s[47])/176 - 
       (110617*s[48])/176 + (1172339*s[49])/176 - (131889*s[50])/11 - 
       (726595*s[51])/528 - (195499*s[52])/176 + (3413173*s[53])/396 - 
       (9929*s[54])/66 + (29695123*s[55])/528 + (23817725*s[56])/1584 - 
       (14786593*s[57])/2376 + (321340897*s[58])/14256 - 
       (327991159*s[59])/14256 - (409257097*s[60])/3168 + 
       (982274713*s[61])/128304 - s[65] + 3*s[67] - 10*s[68] + 6*s[69] - 
       12*s[70] + s[71] - 7*s[72] - s[73] + (5*s[74])/4 - (5*s[75])/4 + 
       11*s[76] + (19*s[77])/2 - 7*s[78] - 76*s[79] + (67*s[80])/6 - 
       522*s[82] + (21*s[83])/2 - 9*s[84] - 132*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((-259*s[2])/4 + (187*s[3])/8 - (5415*s[4])/16 - (91475*s[5])/88 - 
       (324871*s[6])/176 - (16300609*s[7])/1056 + (1341067*s[8])/1584 + 
       (241171*s[9])/18 + (176485*s[10])/36 + (17361847*s[11])/1056 + 
       (4473803*s[12])/264 + (3432115*s[13])/352 + (5093815*s[14])/1056 + 
       (2077831*s[15])/96 + (2356817*s[16])/88 + (24202433*s[17])/1056 + 
       (91525*s[18])/27 + (803135*s[19])/432 + (160498259*s[20])/4752 + 
       (128216293*s[21])/9504 - (77317877*s[22])/9504 - (566271*s[23])/44 - 
       (40849379*s[24])/2376 + (826204673*s[25])/42768 - 
       (524753849*s[26])/42768 - s[28] - 4*s[29] + (9*s[30])/2 - 14*s[31] + 
       4*s[32] - (9*s[33])/2 + (5*s[34])/2 - (11*s[35])/2 + (19*s[36])/2 + 
       (115*s[37])/12 - (729*s[38])/2 + (2867*s[39])/2 - 1638*s[40] + 
       (5133*s[41])/4 - 2013*s[42] - (32647*s[43])/22 + (262401*s[44])/176 - 
       (616777*s[45])/264 + (4089583*s[46])/264 - (52801*s[47])/176 - 
       (110617*s[48])/176 + (1172339*s[49])/176 - (131889*s[50])/11 - 
       (726595*s[51])/528 - (195499*s[52])/176 + (3413173*s[53])/396 - 
       (9929*s[54])/66 + (29695123*s[55])/528 + (23817725*s[56])/1584 - 
       (14786593*s[57])/2376 + (321340897*s[58])/14256 - 
       (327991159*s[59])/14256 - (409257097*s[60])/3168 + 
       (982274713*s[61])/128304 - s[65] + 3*s[67] - 10*s[68] + 6*s[69] - 
       12*s[70] + s[71] - 7*s[72] - s[73] + (5*s[74])/4 - (5*s[75])/4 + 
       11*s[76] + (19*s[77])/2 - 7*s[78] - 76*s[79] + (67*s[80])/6 - 
       522*s[82] + (21*s[83])/2 - 9*s[84] - 132*s[85]) + 
     HPL[{0, 1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u]*((-171*s[2])/4 + 
       (1591*s[3])/36 - (190231*s[4])/72 - (767857*s[5])/396 - 
       (7338431*s[6])/1584 - (614872651*s[7])/14256 + (50576485*s[8])/14256 + 
       (47459051*s[9])/1296 + (3584731*s[10])/324 + (50145881*s[11])/1056 + 
       (495825035*s[12])/9504 + (27936968*s[13])/891 + (1989667*s[14])/396 + 
       (73586089*s[15])/1296 + (514546117*s[16])/7128 + 
       (1562910941*s[17])/28512 + (5223727*s[18])/648 + (3882553*s[19])/648 + 
       (608773511*s[20])/7128 + (1325676151*s[21])/42768 - 
       (975218257*s[22])/42768 - (1466374829*s[23])/28512 - 
       (3971215847*s[24])/85536 + (46578003749*s[25])/769824 - 
       (25523365319*s[26])/769824 - (55*s[30])/18 - (176*s[31])/9 + 
       (32*s[32])/3 + (55*s[33])/24 + (359*s[34])/9 + (75*s[35])/2 + 
       (12521*s[36])/108 - (10205*s[37])/54 - (58081*s[38])/36 + 
       (311459*s[39])/48 - (3129359*s[40])/432 + (821347*s[41])/144 - 
       (4051321*s[42])/432 - (26645677*s[43])/4752 + (28538011*s[44])/4752 - 
       (7330513*s[45])/1188 + (235945547*s[46])/4752 - 
       (15908647*s[47])/7128 - (8420855*s[48])/14256 + 
       (45634135*s[49])/1782 - (90831689*s[50])/2376 - 
       (92106301*s[51])/14256 - (36979277*s[52])/7128 + 
       (376321993*s[53])/14256 - (1139491*s[54])/1188 + 
       (263947499*s[55])/1584 + (26031395*s[56])/594 - (24934079*s[57])/528 + 
       (3331938391*s[58])/42768 - (3376448311*s[59])/42768 - 
       (17348677333*s[60])/42768 + (8145817349*s[61])/384912 + (19*s[66])/3 - 
       (19*s[67])/3 + (19*s[68])/3 - 19*s[69] + 6*s[70] + (11*s[71])/4 - 
       (83*s[72])/3 + (94*s[73])/9 + (407*s[74])/12 - (377*s[75])/12 + 
       (64*s[76])/3 + (91*s[77])/18 - (281*s[78])/9 - 621*s[79] + 
       (8051*s[80])/54 - (373*s[82])/2 + (49*s[83])/6 - (499*s[84])/2 - 
       (380*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((-83*s[2])/9 - (62*s[3])/3 - (9453*s[4])/4 - 
       (600091*s[5])/396 - (2092777*s[6])/528 - (87211463*s[7])/2376 + 
       (14601107*s[8])/4752 + (13378993*s[9])/432 + (1030649*s[10])/108 + 
       (127904243*s[11])/3168 + (140499721*s[12])/3168 + 
       (126686099*s[13])/4752 + (1079575*s[14])/264 + (10499845*s[15])/216 + 
       (146757673*s[16])/2376 + (447446495*s[17])/9504 + 
       (8591485*s[18])/1296 + (7086503*s[19])/1296 + (1034284973*s[20])/
        14256 + (123818591*s[21])/4752 - (275767403*s[22])/14256 - 
       (412800401*s[23])/9504 - (1137391027*s[24])/28512 + 
       (4417094161*s[25])/85536 - (2403941527*s[26])/85536 - 7*s[30] - 
       (2*s[31])/3 + s[32]/2 + (179*s[33])/18 + (56*s[34])/9 + 
       (412*s[35])/9 + (10339*s[36])/108 - (12247*s[37])/108 - 
       (5587*s[38])/4 + (824503*s[39])/144 - (2796241*s[40])/432 + 
       (742225*s[41])/144 - (3583439*s[42])/432 - (24005963*s[43])/4752 + 
       (51172465*s[44])/9504 - (6941047*s[45])/1188 + (72761851*s[46])/1584 - 
       (52724249*s[47])/28512 - (22587395*s[48])/28512 + 
       (657748571*s[49])/28512 - (84251533*s[50])/2376 - 
       (163880851*s[51])/28512 - (130661155*s[52])/28512 + 
       (19406191*s[53])/792 - (286565*s[54])/396 + (493650799*s[55])/3168 + 
       (1174970641*s[56])/28512 - (867083095*s[57])/21384 + 
       (18340805027*s[58])/256608 - (18585835661*s[59])/256608 - 
       (64354088945*s[60])/171072 + (46302544799*s[61])/2309472 - s[62]/6 + 
       4*s[68] - 4*s[69] - (16*s[70])/3 + (23*s[71])/6 - 18*s[72] + s[73]/6 + 
       (239*s[74])/9 - (493*s[75])/18 - (16*s[76])/3 + 14*s[77] - 
       (55*s[78])/6 - (5435*s[79])/9 + (4510*s[80])/27 - (2095*s[82])/6 - 
       4*s[83] - 184*s[84] - (380*s[85])/3) + HPL[{0, 1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - v]*((-3337*s[2])/144 + (3709*s[3])/288 - 
       (1557623*s[4])/576 - (1467185*s[5])/792 - (28785685*s[6])/6336 - 
       (4903329049*s[7])/114048 + (201560737*s[8])/57024 + 
       (47193677*s[9])/1296 + (28949903*s[10])/2592 + 
       (1800438293*s[11])/38016 + (247050445*s[12])/4752 + 
       (3572477669*s[13])/114048 + (179072885*s[14])/38016 + 
       (590000287*s[15])/10368 + (2059552469*s[16])/28512 + 
       (6269372209*s[17])/114048 + (30035843*s[18])/3888 + 
       (100338001*s[19])/15552 + (14531592181*s[20])/171072 + 
       (3488551441*s[21])/114048 - (7774153319*s[22])/342144 - 
       (181610603*s[23])/3564 - (3996907319*s[24])/85536 + 
       (10356091793*s[25])/171072 - (5631501641*s[26])/171072 - 
       (59*s[30])/9 - (359*s[31])/36 + (595*s[32])/72 + (77*s[33])/96 + 
       (425*s[34])/18 + (307*s[35])/8 + (25637*s[36])/216 - 
       (52349*s[37])/432 - (102631*s[38])/72 + (67681*s[39])/12 - 
       (1365077*s[40])/216 + (720407*s[41])/144 - (876443*s[42])/108 - 
       (5927855*s[43])/1188 + (100843691*s[44])/19008 - 
       (52047007*s[45])/9504 + (416133797*s[46])/9504 - 
       (101314021*s[47])/57024 - (42912997*s[48])/57024 + 
       (1297881295*s[49])/57024 - (40289423*s[50])/1188 - 
       (317589725*s[51])/57024 - (253356035*s[52])/57024 + 
       (166324057*s[53])/7128 - (750289*s[54])/2376 + 
       (937130825*s[55])/6336 + (731477563*s[56])/19008 - 
       (1141549621*s[57])/28512 + (48093157*s[58])/704 - 
       (3968923471*s[59])/57024 - (123163216531*s[60])/342144 + 
       (28567053293*s[61])/1539648 + (7*s[62])/4 + s[64]/2 + (10*s[66])/3 - 
       (49*s[67])/12 + (71*s[68])/6 - (29*s[69])/2 + 8*s[70] + (14*s[71])/3 - 
       (253*s[72])/12 + (407*s[73])/36 + (1381*s[74])/48 - (1351*s[75])/48 + 
       14*s[76] + (263*s[77])/72 - (703*s[78])/36 - 578*s[79] + 
       (24877*s[80])/216 - s[81]/12 - (385*s[82])/2 - (59*s[83])/12 - 
       244*s[84] - (376*s[85])/3) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u]*((-353*s[2])/24 - (73*s[3])/48 - 
       (101609*s[4])/96 - (47475*s[5])/88 - (580717*s[6])/352 - 
       (284207207*s[7])/19008 + (11853359*s[8])/9504 + (2738149*s[9])/216 + 
       (1623607*s[10])/432 + (105723919*s[11])/6336 + (7343815*s[12])/396 + 
       (216753367*s[13])/19008 + (6865183*s[14])/6336 + 
       (33263129*s[15])/1728 + (59400137*s[16])/2376 + 
       (348618251*s[17])/19008 + (848015*s[18])/324 + (5809775*s[19])/2592 + 
       (824112035*s[20])/28512 + (194883923*s[21])/19008 - 
       (452953165*s[22])/57024 - (87224573*s[23])/4752 - 
       (115258943*s[24])/7128 + (615404645*s[25])/28512 - 
       (326894105*s[26])/28512 - (35*s[30])/6 - (25*s[31])/6 + (5*s[32])/12 - 
       (169*s[33])/48 + (22*s[34])/3 + (289*s[35])/12 + (2027*s[36])/36 - 
       (141*s[37])/8 - (7955*s[38])/12 + (7385*s[39])/3 - (99311*s[40])/36 + 
       (17897*s[41])/8 - (31411*s[42])/9 - (220651*s[43])/99 + 
       (7283099*s[44])/3168 - (400985*s[45])/176 + (29183707*s[46])/1584 - 
       (6637189*s[47])/9504 - (4533109*s[48])/9504 + (95971111*s[49])/9504 - 
       (5662519*s[50])/396 - (23562773*s[51])/9504 - (18829643*s[52])/9504 + 
       (22792093*s[53])/2376 + (146821*s[54])/396 + (191508247*s[55])/3168 + 
       (147563809*s[56])/9504 - (265329677*s[57])/14256 + 
       (2485829597*s[58])/85536 - (2517948995*s[59])/85536 - 
       (8665870927*s[60])/57024 + (5832525569*s[61])/769824 + 6*s[68] - 
       6*s[69] - (11*s[70])/3 + 6*s[71] - (47*s[72])/6 - s[73]/6 + 
       (103*s[74])/8 - (103*s[75])/8 + (49*s[76])/6 + (115*s[77])/12 - 
       (23*s[78])/6 - (656*s[79])/3 + (65*s[80])/12 + 12*s[82] - 3*s[83] - 
       125*s[84] - 122*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u]*(-16*s[2] - (101*s[3])/2 - (17917*s[4])/8 - 
       (127475*s[5])/88 - (334603*s[6])/88 - (27640147*s[7])/792 + 
       (768377*s[8])/264 + (235725*s[9])/8 + (216257*s[10])/24 + 
       (20333153*s[11])/528 + (7460713*s[12])/176 + (10144657*s[13])/396 + 
       (1005445*s[14])/264 + (3301027*s[15])/72 + (46394945*s[16])/792 + 
       (70324937*s[17])/1584 + (336995*s[18])/54 + (565373*s[19])/108 + 
       (81653339*s[20])/1188 + (58379273*s[21])/2376 - (3644519*s[22])/198 - 
       (65259053*s[23])/1584 - (20065027*s[24])/528 + 
       (2111842303*s[25])/42768 - (1141420813*s[26])/42768 - (13*s[30])/2 - 
       5*s[31] + 2*s[32] + (45*s[33])/8 + (23*s[34])/2 + (75*s[35])/2 + 
       (262*s[36])/3 - (425*s[37])/3 - 1250*s[38] + (20025*s[39])/4 - 
       (67507*s[40])/12 + (17669*s[41])/4 - (86633*s[42])/12 - 
       (581501*s[43])/132 + (2471573*s[44])/528 - (647789*s[45])/132 + 
       (1286653*s[46])/33 - (2639713*s[47])/1584 - (1048453*s[48])/1584 + 
       (31603723*s[49])/1584 - (3957497*s[50])/132 - (7956593*s[51])/1584 - 
       (6370313*s[52])/1584 + (4071841*s[53])/198 - (92825*s[54])/132 + 
       (68858183*s[55])/528 + (18311419*s[56])/528 - (29487265*s[57])/792 + 
       (10800457*s[58])/176 - (97961047*s[59])/1584 - 
       (3036025789*s[60])/9504 + (715265555*s[61])/42768 - 6*s[70] + 
       3*s[71] - 18*s[72] + 2*s[73] + (45*s[74])/2 - (45*s[75])/2 + 
       18*s[76] + 7*s[77] - 10*s[78] - 534*s[79] + (380*s[80])/3 - 
       360*s[82] - (3*s[83])/2 - 207*s[84] - 120*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
      (-36*s[2] - (5*s[3])/2 - (17069*s[4])/8 - (134251*s[5])/88 - 
       (336979*s[6])/88 - (55768067*s[7])/1584 + (378023*s[8])/132 + 
       (358055*s[9])/12 + (110543*s[10])/12 + (2558569*s[11])/66 + 
       (7486475*s[12])/176 + (40524277*s[13])/1584 + (2290433*s[14])/528 + 
       (6672485*s[15])/144 + (46779461*s[16])/792 + (17805989*s[17])/396 + 
       (702577*s[18])/108 + (1084309*s[19])/216 + (20779841*s[20])/297 + 
       (120311887*s[21])/4752 - (29475449*s[22])/1584 - 
       (64906811*s[23])/1584 - (60481873*s[24])/1584 + 
       (2110197451*s[25])/42768 - (1156533295*s[26])/42768 - (5*s[30])/2 - 
       13*s[31] + 6*s[32] + (21*s[33])/8 + (47*s[34])/2 + (75*s[35])/2 + 
       (262*s[36])/3 - (425*s[37])/3 - 1250*s[38] + (20025*s[39])/4 - 
       (67507*s[40])/12 + (17669*s[41])/4 - (86633*s[42])/12 - 
       (581501*s[43])/132 + (2471573*s[44])/528 - (647789*s[45])/132 + 
       (1286653*s[46])/33 - (2639713*s[47])/1584 - (1048453*s[48])/1584 + 
       (31603723*s[49])/1584 - (3957497*s[50])/132 - (7956593*s[51])/1584 - 
       (6370313*s[52])/1584 + (4071841*s[53])/198 - (92825*s[54])/132 + 
       (68858183*s[55])/528 + (18311419*s[56])/528 - (29487265*s[57])/792 + 
       (10800457*s[58])/176 - (97961047*s[59])/1584 - 
       (3036025789*s[60])/9504 + (715265555*s[61])/42768 - 6*s[70] + 
       3*s[71] - 18*s[72] + 2*s[73] + (45*s[74])/2 - (45*s[75])/2 + 
       18*s[76] + 7*s[77] - 10*s[78] - 534*s[79] + (380*s[80])/3 - 
       360*s[82] - (3*s[83])/2 - 207*s[84] - 120*s[85]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
      (-16*s[2] - (211*s[3])/4 - (705*s[4])/8 + (10385*s[5])/88 - 
       (7075*s[6])/44 + (570253*s[7])/1584 + (15695*s[8])/594 - 
       (94367*s[9])/216 - (27277*s[10])/216 - (532267*s[11])/1584 - 
       (178837*s[12])/792 - (66185*s[13])/528 + (34019*s[14])/1584 - 
       (47255*s[15])/48 - (48641*s[16])/88 - (951959*s[17])/1584 + 
       (92429*s[18])/648 - (213383*s[19])/648 - (6109271*s[20])/7128 - 
       (6451297*s[21])/14256 + (3439487*s[22])/14256 - (192589*s[23])/264 + 
       (5046451*s[24])/7128 - (54570613*s[25])/128304 + 
       (44990725*s[26])/128304 + s[28]/2 - 18*s[29] - 2*s[30] - 3*s[31] - 
       2*s[32] + 8*s[33] - 19*s[34] - 22*s[35] - (115*s[36])/2 + 
       (563*s[37])/12 + (143*s[38])/2 - (1039*s[39])/8 + (203*s[40])/8 + 
       (451*s[41])/8 + (697*s[42])/8 + (11785*s[43])/88 - (6351*s[44])/176 - 
       (9533*s[45])/264 + (12481*s[46])/132 - (15931*s[47])/528 - 
       (89521*s[48])/528 - (303239*s[49])/528 - (4979*s[50])/44 - 
       (72293*s[51])/528 + (24685*s[52])/528 - (40915*s[53])/396 - 
       (30077*s[54])/132 - (52937*s[55])/176 + (1409053*s[56])/1584 - 
       (381451*s[57])/1188 + (3210161*s[58])/14256 + (7192723*s[59])/14256 - 
       (175793*s[60])/352 + (16076891*s[61])/32076 - 5*s[62] + 2*s[64] + 
       (3*s[65])/2 - 4*s[67] - 4*s[69] - 54*s[70] + (3*s[71])/2 + 8*s[73] + 
       (3*s[74])/2 - (3*s[75])/2 - s[76] + 66*s[77] + 48*s[78] - 88*s[79] + 
       (335*s[80])/6 + s[81]/3 - 282*s[82] + 6*s[83] - 66*s[84] - 
       120*s[85]) + HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      (-20*s[2] - s[3] + (183*s[4])/4 - (483*s[5])/22 - (7983*s[6])/44 - 
       (572843*s[7])/792 - (1351*s[8])/396 + (12479*s[9])/18 + 
       (3050*s[10])/9 + (204289*s[11])/264 + (104981*s[12])/132 + 
       (257731*s[13])/792 + (229615*s[14])/264 + (49469*s[15])/72 + 
       (259081*s[16])/198 + (908045*s[17])/792 + (17621*s[18])/54 - 
       (14599*s[19])/108 + (2686187*s[20])/1188 + (217769*s[21])/264 - 
       (985225*s[22])/2376 + (201305*s[23])/396 - (967877*s[24])/1188 + 
       (1086805*s[25])/1782 - (937549*s[26])/1782 - s[30] - 4*s[31] - 
       18*s[32] + s[33] + 4*s[34] - 22*s[35] - (115*s[36])/2 + 
       (563*s[37])/12 + (143*s[38])/2 - (1039*s[39])/8 + (203*s[40])/8 + 
       (451*s[41])/8 + (697*s[42])/8 + (11785*s[43])/88 - (6351*s[44])/176 - 
       (9533*s[45])/264 + (12481*s[46])/132 - (15931*s[47])/528 - 
       (89521*s[48])/528 - (303239*s[49])/528 - (4979*s[50])/44 - 
       (72293*s[51])/528 + (24685*s[52])/528 - (40915*s[53])/396 - 
       (30077*s[54])/132 - (52937*s[55])/176 + (1409053*s[56])/1584 - 
       (381451*s[57])/1188 + (3210161*s[58])/14256 + (7192723*s[59])/14256 - 
       (175793*s[60])/352 + (16076891*s[61])/32076 - 5*s[62] + 2*s[64] + 
       (3*s[65])/2 - 4*s[67] - 4*s[69] - 54*s[70] + (3*s[71])/2 + 8*s[73] + 
       (3*s[74])/2 - (3*s[75])/2 - s[76] + 66*s[77] + 48*s[78] - 88*s[79] + 
       (335*s[80])/6 + s[81]/3 - 282*s[82] + 6*s[83] - 66*s[84] - 
       120*s[85]) + HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((11*s[2])/4 + (639*s[3])/8 + (7367*s[4])/16 + (26747*s[5])/88 + 
       (107367*s[6])/176 + (6465379*s[7])/1056 - (919423*s[8])/1584 - 
       (364309*s[9])/72 - (25619*s[10])/18 - (7190113*s[11])/1056 - 
       (248278*s[12])/33 - (1677833*s[13])/352 + (214055*s[14])/1056 - 
       (787577*s[15])/96 - (221665*s[16])/22 - (7943891*s[17])/1056 - 
       (224855*s[18])/216 - (468113*s[19])/432 - (51986045*s[20])/4752 - 
       (37987699*s[21])/9504 + (30162875*s[22])/9504 + (412433*s[23])/44 + 
       (15351815*s[24])/2376 - (193590637*s[25])/21384 + 
       (100326841*s[26])/21384 + 20*s[30] + 9*s[31] - (13*s[32])/2 + 
       (103*s[33])/8 - 19*s[34] - (41*s[35])/2 - 67*s[36] + (411*s[37])/4 + 
       318*s[38] - (9345*s[39])/8 + (9321*s[40])/8 - (6233*s[41])/8 + 
       (13011*s[42])/8 + (75871*s[43])/88 - (10167*s[44])/11 + 
       (57865*s[45])/88 - (141589*s[46])/22 + (30977*s[47])/66 - 
       (94189*s[48])/264 - (265961*s[49])/66 + (105877*s[50])/22 + 
       (81959*s[51])/88 + (238321*s[52])/264 - (300063*s[53])/88 + 
       (13705*s[54])/44 - (5436125*s[55])/264 - (642491*s[56])/132 + 
       (7705171*s[57])/792 - (26017457*s[58])/2376 + (27607127*s[59])/2376 + 
       (80150303*s[60])/1584 - (24495733*s[61])/10692 - 4*s[62] - 2*s[64] - 
       4*s[65] - 4*s[66] + 12*s[67] + 10*s[68] - 34*s[70] + (17*s[71])/2 + 
       13*s[72] - 21*s[73] - (17*s[74])/4 + (11*s[75])/4 + 17*s[76] + 
       (107*s[77])/2 - 11*s[78] + 16*s[79] - (103*s[80])/2 + s[81]/3 - 
       270*s[82] + 6*s[83] - 66*s[84] - 120*s[85]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((-95*s[2])/4 - (515*s[3])/8 + (4251*s[4])/16 + (12281*s[5])/44 + 
       (58605*s[6])/176 + (5410741*s[7])/1056 - (955561*s[8])/1584 - 
       (314479*s[9])/72 - (74591*s[10])/72 - (6102511*s[11])/1056 - 
       (1757969*s[12])/264 - (1372299*s[13])/352 + (255089*s[14])/1056 - 
       (641855*s[15])/96 - (91791*s[16])/11 - (6113813*s[17])/1056 - 
       (158315*s[18])/216 - (425567*s[19])/432 - (44734787*s[20])/4752 - 
       (31240249*s[21])/9504 + (25755509*s[22])/9504 + (78876*s[23])/11 + 
       (13562009*s[24])/2376 - (82541021*s[25])/10692 + 
       (42394199*s[26])/10692 - s[28] - 14*s[29] + (9*s[30])/2 - 30*s[31] - 
       6*s[32] - (199*s[33])/4 + (23*s[34])/2 - (41*s[35])/2 - 67*s[36] + 
       (411*s[37])/4 + 318*s[38] - (9345*s[39])/8 + (9321*s[40])/8 - 
       (6233*s[41])/8 + (13011*s[42])/8 + (75871*s[43])/88 - 
       (10167*s[44])/11 + (57865*s[45])/88 - (141589*s[46])/22 + 
       (30977*s[47])/66 - (94189*s[48])/264 - (265961*s[49])/66 + 
       (105877*s[50])/22 + (81959*s[51])/88 + (238321*s[52])/264 - 
       (300063*s[53])/88 + (13705*s[54])/44 - (5436125*s[55])/264 - 
       (642491*s[56])/132 + (7705171*s[57])/792 - (26017457*s[58])/2376 + 
       (27607127*s[59])/2376 + (80150303*s[60])/1584 - 
       (24495733*s[61])/10692 - 4*s[62] - 2*s[64] - 4*s[65] - 4*s[66] + 
       12*s[67] + 10*s[68] - 34*s[70] + (17*s[71])/2 + 13*s[72] - 21*s[73] - 
       (17*s[74])/4 + (11*s[75])/4 + 17*s[76] + (107*s[77])/2 - 11*s[78] + 
       16*s[79] - (103*s[80])/2 + s[81]/3 - 270*s[82] + 6*s[83] - 66*s[84] - 
       120*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((-19*s[2])/2 - (6169*s[3])/144 - 
       (8827*s[4])/32 - (20867*s[5])/72 - (22759*s[6])/32 - (98043*s[7])/16 + 
       (399113*s[8])/972 + (40082581*s[9])/7776 + (14816087*s[10])/7776 + 
       (17210219*s[11])/2592 + (18237523*s[12])/2592 + 
       (10810535*s[13])/2592 + (1745515*s[14])/1296 + (10950463*s[15])/1296 + 
       (27540053*s[16])/2592 + (22581047*s[17])/2592 + 
       (25834895*s[18])/23328 + (24741421*s[19])/23328 + 
       (298266845*s[20])/23328 + (13760011*s[21])/2916 - 
       (37233215*s[22])/11664 - (13751641*s[23])/2592 - 
       (166026469*s[24])/23328 + (861472657*s[25])/104976 - 
       (247450397*s[26])/52488 + (14*s[30])/9 - (2*s[31])/3 - (73*s[32])/72 - 
       (13*s[33])/72 - (109*s[34])/18 - (101*s[35])/18 + (191*s[36])/72 + 
       (4301*s[37])/216 - (11305*s[38])/72 + (18633*s[39])/32 - 
       (195965*s[40])/288 + (160099*s[41])/288 - (224647*s[42])/288 - 
       (256819*s[43])/352 + (1101341*s[44])/1584 - (2498869*s[45])/2376 + 
       (66340255*s[46])/9504 + (10229*s[47])/528 - (1838425*s[48])/3168 + 
       (5274025*s[49])/1584 - (4378097*s[50])/792 - (4776437*s[51])/9504 - 
       (1214321*s[52])/3168 + (110732687*s[53])/28512 + (563875*s[54])/2376 + 
       (242667511*s[55])/9504 + (91498277*s[56])/14256 - 
       (43289089*s[57])/85536 + (2405536781*s[58])/256608 - 
       (2491650959*s[59])/256608 - (862379303*s[60])/14256 + 
       (7636118183*s[61])/2309472 - s[66] + s[67] + (5*s[68])/6 + s[69]/6 - 
       4*s[70] + (19*s[71])/24 - (4*s[72])/3 - 2*s[73] - (2*s[74])/9 + 
       (2*s[75])/9 + (7*s[76])/3 + (79*s[77])/18 - (2*s[78])/9 - 
       (547*s[79])/18 + (209*s[80])/108 - (1550*s[82])/3 - 28*s[84] - 
       (334*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((-605*s[2])/36 - (118*s[3])/3 - (3749*s[4])/12 - 
       (265721*s[5])/792 - (458045*s[6])/528 - (5832511*s[7])/792 + 
       (2424173*s[8])/4752 + (1329119*s[9])/216 + (1036607*s[10])/432 + 
       (2787843*s[11])/352 + (1644271*s[12])/198 + (648377*s[13])/132 + 
       (5433199*s[14])/3168 + (555161*s[15])/54 + (5102023*s[16])/396 + 
       (8560003*s[17])/792 + (3393709*s[18])/2592 + (3441857*s[19])/2592 + 
       (439618853*s[20])/28512 + (161703941*s[21])/28512 - 
       (109045429*s[22])/28512 - (9506897*s[23])/1584 - 
       (247283215*s[24])/28512 + (2502525497*s[25])/256608 - 
       (1439424761*s[26])/256608 + s[30]/2 - 2*s[31] - (29*s[32])/12 + 
       (10*s[33])/9 - (125*s[34])/18 - (37*s[35])/18 - (133*s[36])/54 + 
       (8695*s[37])/216 - (161*s[38])/2 + (6473*s[39])/18 - 
       (25991*s[40])/54 + (3868*s[41])/9 - (101755*s[42])/216 - 
       (1485997*s[43])/2376 + (702503*s[44])/1188 - (1251451*s[45])/1188 + 
       (5214521*s[46])/792 + (2832893*s[47])/14256 - (11280217*s[48])/14256 + 
       (81933947*s[49])/28512 - (12774655*s[50])/2376 - 
       (8819461*s[51])/28512 - (1191415*s[52])/7128 + (6053161*s[53])/1584 + 
       (579277*s[54])/1584 + (40219181*s[55])/1584 + (180208675*s[56])/
        28512 + (108090787*s[57])/42768 + (2054501015*s[58])/256608 - 
       (2163513965*s[59])/256608 - (10025445587*s[60])/171072 + 
       (3840283873*s[61])/1154736 - s[65]/3 - 3*s[66] + 5*s[67] + 3*s[68] + 
       6*s[69] - 6*s[70] + s[71]/3 + s[72] - 7*s[73] - (53*s[74])/18 + 
       (53*s[75])/18 + (8*s[76])/3 + (25*s[77])/6 + s[78]/3 - (470*s[79])/9 + 
       (430*s[80])/27 - (3439*s[82])/6 + s[83] - 10*s[84] - (326*s[85])/3) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((-139*s[2])/6 + (967*s[3])/12 - (57389*s[4])/24 - (52166*s[5])/33 - 
       (1009045*s[6])/264 - (176581711*s[7])/4752 + (7261387*s[8])/2376 + 
       (3411667*s[9])/108 + (506941*s[10])/54 + (65342105*s[11])/1584 + 
       (36169885*s[12])/792 + (131151851*s[13])/4752 + (5466599*s[14])/1584 + 
       (20962789*s[15])/432 + (73791035*s[16])/1188 + 
       (220097353*s[17])/4752 + (2142361*s[18])/324 + (3619855*s[19])/648 + 
       (519345727*s[20])/7128 + (124465531*s[21])/4752 - 
       (281665169*s[22])/14256 - (106988885*s[23])/2376 - 
       (287493073*s[24])/7128 + (377166733*s[25])/7128 - 
       (203626741*s[26])/7128 - s[28] + 6*s[29] - (16*s[30])/3 - 
       (4*s[31])/3 + (31*s[32])/3 + (41*s[33])/2 + (86*s[34])/3 - 7*s[35] + 
       (1376*s[36])/9 - (1093*s[37])/9 - (4750*s[38])/3 + (24169*s[39])/4 - 
       (242417*s[40])/36 + (63463*s[41])/12 - (310843*s[42])/36 - 
       (2113471*s[43])/396 + (4489757*s[44])/792 - (536500*s[45])/99 + 
       (17699669*s[46])/396 - (4302325*s[47])/2376 - (2196859*s[48])/2376 + 
       (58270711*s[49])/2376 - (3426559*s[50])/99 - (13817219*s[51])/2376 - 
       (11245247*s[52])/2376 + (13966847*s[53])/594 + (7415*s[54])/99 + 
       (39171359*s[55])/264 + (30113839*s[56])/792 - (26217107*s[57])/594 + 
       (167177761*s[58])/2376 - (170591249*s[59])/2376 - 
       (5255873653*s[60])/14256 + (584579161*s[61])/32076 + s[64] + s[65] + 
       12*s[66] - 16*s[67] + 16*s[68] - 34*s[69] + 16*s[70] + 3*s[71] - 
       26*s[72] + (70*s[73])/3 + (67*s[74])/2 - (61*s[75])/2 + 6*s[76] - 
       (19*s[77])/3 - (74*s[78])/3 - 576*s[79] + (1060*s[80])/9 - s[81]/6 - 
       116*s[82] - (5*s[83])/2 - 285*s[84] - 108*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-85*s[2])/4 - (515*s[3])/8 - (36345*s[4])/16 - (127671*s[5])/88 - 
       (690111*s[6])/176 - (111453769*s[7])/3168 + (4672031*s[8])/1584 + 
       (2136335*s[9])/72 + (161449*s[10])/18 + (13689989*s[11])/352 + 
       (22679441*s[12])/528 + (82081577*s[13])/3168 + (1365839*s[14])/352 + 
       (13252279*s[15])/288 + (11687981*s[16])/198 + (140807131*s[17])/3168 + 
       (233257*s[18])/36 + (719239*s[19])/144 + (109858811*s[20])/1584 + 
       (236958379*s[21])/9504 - (176326243*s[22])/9504 - 
       (67383803*s[23])/1584 - (181000115*s[24])/4752 + 
       (1064846257*s[25])/21384 - (72304382*s[26])/2673 + (7*s[30])/2 - 
       8*s[31] + 5*s[32] + (23*s[34])/2 + (51*s[35])/2 + (509*s[36])/6 - 
       (479*s[37])/3 - 1280*s[38] + (10229*s[39])/2 - (17185*s[40])/3 + 
       4462*s[41] - (88931*s[42])/12 - (288955*s[43])/66 + 
       (1232179*s[44])/264 - (618377*s[45])/132 + (5047693*s[46])/132 - 
       (180178*s[47])/99 - (89921*s[48])/198 + (1950184*s[49])/99 - 
       (3841481*s[50])/132 - (1018177*s[51])/198 - (3336991*s[52])/792 + 
       (15756967*s[53])/792 - (81325*s[54])/66 + (2766589*s[55])/22 + 
       (1129171*s[56])/33 - (4106870*s[57])/99 + (48788759*s[58])/792 - 
       (12213277*s[59])/198 - (368857487*s[60])/1188 + 
       (697294583*s[61])/42768 + 3*s[68] + 3*s[69] + 3*s[70] + (3*s[71])/2 - 
       21*s[72] + 5*s[73] + (99*s[74])/4 - (99*s[75])/4 + 36*s[76] + 
       (11*s[77])/2 - 19*s[78] - 534*s[79] + (344*s[80])/3 - 234*s[82] - 
       (3*s[83])/2 - 225*s[84] - 108*s[85]) + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*((-183*s[2])/4 + 
       (73*s[3])/8 - (34487*s[4])/16 - (120783*s[5])/88 - (653805*s[6])/176 - 
       (105718999*s[7])/3168 + (4451023*s[8])/1584 + (2033221*s[9])/72 + 
       (594353*s[10])/72 + (39060041*s[11])/1056 + (21665983*s[12])/528 + 
       (79032335*s[13])/3168 + (3542195*s[14])/1056 + (12381061*s[15])/288 + 
       (43881503*s[16])/792 + (130162201*s[17])/3168 + (1342039*s[18])/216 + 
       (1914979*s[19])/432 + (309869929*s[20])/4752 + (74198887*s[21])/3168 - 
       (167864513*s[22])/9504 - (65328575*s[23])/1584 - 
       (168943033*s[24])/4752 + (75228839*s[25])/1584 - 
       (40643275*s[26])/1584 - 2*s[27] - 4*s[30] - 28*s[31] + (15*s[32])/2 - 
       (177*s[33])/8 + 50*s[34] + (51*s[35])/2 + (509*s[36])/6 - 
       (479*s[37])/3 - 1280*s[38] + (10229*s[39])/2 - (17185*s[40])/3 + 
       4462*s[41] - (88931*s[42])/12 - (288955*s[43])/66 + 
       (1232179*s[44])/264 - (618377*s[45])/132 + (5047693*s[46])/132 - 
       (180178*s[47])/99 - (89921*s[48])/198 + (1950184*s[49])/99 - 
       (3841481*s[50])/132 - (1018177*s[51])/198 - (3336991*s[52])/792 + 
       (15756967*s[53])/792 - (81325*s[54])/66 + (2766589*s[55])/22 + 
       (1129171*s[56])/33 - (4106870*s[57])/99 + (48788759*s[58])/792 - 
       (12213277*s[59])/198 - (368857487*s[60])/1188 + 
       (697294583*s[61])/42768 + 3*s[68] + 3*s[69] + 3*s[70] + (3*s[71])/2 - 
       21*s[72] + 5*s[73] + (99*s[74])/4 - (99*s[75])/4 + 36*s[76] + 
       (11*s[77])/2 - 19*s[78] - 534*s[79] + (344*s[80])/3 - 234*s[82] - 
       (3*s[83])/2 - 225*s[84] - 108*s[85]) + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((37*s[2])/4 - (655*s[3])/8 - (32847*s[4])/16 - (29789*s[5])/22 - 
       (627309*s[6])/176 - (33322529*s[7])/1056 + (4162711*s[8])/1584 + 
       (1911457*s[9])/72 + (144839*s[10])/18 + (36786751*s[11])/1056 + 
       (10129565*s[12])/264 + (24505553*s[13])/1056 + (3814015*s[14])/1056 + 
       (3963719*s[15])/96 + (1745176*s[16])/33 + (14112099*s[17])/352 + 
       (156328*s[18])/27 + (1986659*s[19])/432 + (294903617*s[20])/4752 + 
       (211964593*s[21])/9504 - (157600865*s[22])/9504 - 
       (4972361*s[23])/132 - (40640899*s[24])/1188 + (1909138199*s[25])/
        42768 - (1036547573*s[26])/42768 + 2*s[27] - 4*s[30] + 10*s[31] + 
       (7*s[32])/2 + (211*s[33])/8 - 8*s[34] + (43*s[35])/2 + (163*s[36])/2 - 
       105*s[37] - 1155*s[38] + 4557*s[39] - (10211*s[40])/2 + 4016*s[41] - 
       (26309*s[42])/4 - (43286*s[43])/11 + (741573*s[44])/176 - 
       (98007*s[45])/22 + (387516*s[46])/11 - (827843*s[47])/528 - 
       (306179*s[48])/528 + (9406049*s[49])/528 - (295308*s[50])/11 - 
       (2435959*s[51])/528 - (1966813*s[52])/528 + (4890157*s[53])/264 - 
       (47661*s[54])/44 + (20652081*s[55])/176 + (16775651*s[56])/528 - 
       (27701995*s[57])/792 + (265751029*s[58])/4752 - 
       (266767273*s[59])/4752 - (907639631*s[60])/3168 + 
       (40986175*s[61])/2673 + 3*s[68] - 3*s[69] + 3*s[70] + (9*s[71])/2 - 
       13*s[72] - 3*s[73] + (91*s[74])/4 - (91*s[75])/4 - 2*s[76] + 
       (3*s[77])/2 - 5*s[78] - 426*s[79] + 106*s[80] - 324*s[82] - 
       (3*s[83])/2 - 213*s[84] - 108*s[85]) + HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*((-101*s[2])/4 - 
       (395*s[3])/8 - (30945*s[4])/16 - (15926*s[5])/11 - (625775*s[6])/176 - 
       (33574373*s[7])/1056 + (4124053*s[8])/1584 + (483781*s[9])/18 + 
       (294805*s[10])/36 + (36941131*s[11])/1056 + (10148939*s[12])/264 + 
       (24255317*s[13])/1056 + (4347271*s[14])/1056 + (1338413*s[15])/32 + 
       (14093435*s[16])/264 + (14315363*s[17])/352 + (1329593*s[18])/216 + 
       (1833707*s[19])/432 + (301200461*s[20])/4752 + 
       (219645505*s[21])/9504 - (159099881*s[22])/9504 - 
       (10081087*s[23])/264 - (81130781*s[24])/2376 + 
       (475179671*s[25])/10692 - (525082513*s[26])/21384 - (13*s[30])/2 - 
       8*s[31] + 5*s[32] + (25*s[33])/2 + (19*s[34])/2 + (43*s[35])/2 + 
       (163*s[36])/2 - 105*s[37] - 1155*s[38] + 4557*s[39] - 
       (10211*s[40])/2 + 4016*s[41] - (26309*s[42])/4 - (43286*s[43])/11 + 
       (741573*s[44])/176 - (98007*s[45])/22 + (387516*s[46])/11 - 
       (827843*s[47])/528 - (306179*s[48])/528 + (9406049*s[49])/528 - 
       (295308*s[50])/11 - (2435959*s[51])/528 - (1966813*s[52])/528 + 
       (4890157*s[53])/264 - (47661*s[54])/44 + (20652081*s[55])/176 + 
       (16775651*s[56])/528 - (27701995*s[57])/792 + (265751029*s[58])/4752 - 
       (266767273*s[59])/4752 - (907639631*s[60])/3168 + 
       (40986175*s[61])/2673 + 3*s[68] - 3*s[69] + 3*s[70] + (9*s[71])/2 - 
       13*s[72] - 3*s[73] + (91*s[74])/4 - (91*s[75])/4 - 2*s[76] + 
       (3*s[77])/2 - 5*s[78] - 426*s[79] + 106*s[80] - 324*s[82] - 
       (3*s[83])/2 - 213*s[84] - 108*s[85]) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((43*s[2])/2 - (1531*s[3])/12 - (1673*s[4])/8 - (26549*s[5])/132 - 
       (147319*s[6])/264 - (24270941*s[7])/4752 + (2318005*s[8])/7128 + 
       (1352923*s[9])/324 + (336151*s[10])/162 + (25368991*s[11])/4752 + 
       (6279707*s[12])/1188 + (13792025*s[13])/4752 + (7517503*s[14])/4752 + 
       (3428695*s[15])/432 + (5677117*s[16])/594 + (13986191*s[17])/1584 + 
       (314539*s[18])/486 + (2940329*s[19])/1944 + (243315053*s[20])/21384 + 
       (166403881*s[21])/42768 - (110071265*s[22])/42768 - 
       (1313303*s[23])/594 - (18179600*s[24])/2673 + (626475019*s[25])/
        96228 - (354802621*s[26])/96228 + (70*s[31])/3 - 12*s[32] + 
       (293*s[33])/12 - 42*s[34] + (11*s[35])/3 - (329*s[36])/9 + 
       (467*s[37])/18 + (164*s[38])/3 - (293*s[39])/2 + (1411*s[40])/18 - 
       (355*s[41])/6 + (2152*s[42])/9 - (16417*s[43])/198 + 
       (27857*s[44])/396 - (223505*s[45])/396 + (1009561*s[46])/396 + 
       (134503*s[47])/594 - (135220*s[48])/297 + (159601*s[49])/297 - 
       (224603*s[50])/99 + (51647*s[51])/594 + (254965*s[52])/1188 + 
       (985825*s[53])/594 + (56698*s[54])/99 + (2318821*s[55])/198 + 
       (509495*s[56])/198 + (3414857*s[57])/594 + (543110*s[58])/297 - 
       (130645*s[59])/66 - (179320993*s[60])/7128 + (25132879*s[61])/16038 - 
       10*s[66] + 10*s[67] - 10*s[68] + 30*s[69] - (82*s[70])/3 - 
       (8*s[71])/3 + 6*s[72] - (10*s[73])/3 - (35*s[74])/6 + (31*s[75])/6 - 
       12*s[76] + 17*s[77] + (70*s[78])/3 - (224*s[79])/3 + (647*s[80])/9 - 
       828*s[82] - (5*s[83])/2 + 5*s[84] - 108*s[85]) + 
     HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*(s[2]/2 + (253*s[3])/4 + 
       579*s[4] + (14381*s[5])/88 + (41861*s[6])/88 + (1098159*s[7])/176 - 
       (1233473*s[8])/2376 - (277717*s[9])/54 - (326693*s[10])/216 - 
       (11484491*s[11])/1584 - (3275083*s[12])/396 - (8756141*s[13])/1584 + 
       (1339927*s[14])/1584 - (1129453*s[15])/144 - (1001804*s[16])/99 - 
       (10726517*s[17])/1584 - (165655*s[18])/324 - (1160365*s[19])/648 - 
       (75026095*s[20])/7128 - (46279961*s[21])/14256 + 
       (47273155*s[22])/14256 + (6060713*s[23])/792 + (53696171*s[24])/7128 - 
       (323253401*s[25])/32076 + (146329655*s[26])/32076 - (17*s[30])/2 + 
       5*s[31] - (13*s[32])/2 + (179*s[33])/8 - (31*s[34])/2 + 80*s[35] - 
       (250*s[36])/3 + (233*s[37])/3 + 380*s[38] - (2417*s[39])/2 + 
       (7571*s[40])/6 - 869*s[41] + (4973*s[42])/3 + (58525*s[43])/66 - 
       (67603*s[44])/66 + (60749*s[45])/132 - (736783*s[46])/132 + 
       (147487*s[47])/396 - (51041*s[48])/396 - (1805713*s[49])/396 + 
       (289651*s[50])/66 + (403751*s[51])/396 + (98297*s[52])/99 - 
       (1030985*s[53])/396 - (11591*s[54])/66 - (1039169*s[55])/66 - 
       (405443*s[56])/132 + (1351775*s[57])/132 - (11748161*s[58])/1188 + 
       (6103483*s[59])/594 + (56047967*s[60])/1188 - (28512371*s[61])/21384 - 
       2*s[64] - 5*s[65] - 4*s[66] + 13*s[67] - 2*s[68] + 6*s[69] - 
       38*s[70] + 11*s[71] + 4*s[72] - 52*s[73] - (27*s[74])/2 + 3*s[75] + 
       19*s[76] + 44*s[77] - 20*s[78] + 56*s[79] - (167*s[80])/3 + s[81]/3 - 
       354*s[82] + 24*s[84] - 108*s[85]) + HPL[{0, 1, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u]*((-15*s[2])/2 - (421*s[3])/4 + 304*s[4] + 
       (5409*s[5])/88 - (4487*s[6])/88 + (5064229*s[7])/1584 - 
       (1085401*s[8])/2376 - (151235*s[9])/54 - (108409*s[10])/216 - 
       (6235177*s[11])/1584 - (1994879*s[12])/396 - (1549829*s[13])/528 + 
       (1787897*s[14])/1584 - (164089*s[15])/48 - (107699*s[16])/22 - 
       (3270155*s[17])/1584 - (48001*s[18])/162 - (520079*s[19])/648 - 
       (37779095*s[20])/7128 - (21605071*s[21])/14256 + 
       (25752101*s[22])/14256 + (1445117*s[23])/264 + (25645963*s[24])/7128 - 
       (359296061*s[25])/64152 + (158414945*s[26])/64152 + s[28] - 12*s[29] + 
       (5*s[30])/2 - 39*s[31] - (37*s[32])/2 - (333*s[33])/8 + (43*s[34])/2 + 
       80*s[35] - (250*s[36])/3 + (233*s[37])/3 + 380*s[38] - 
       (2417*s[39])/2 + (7571*s[40])/6 - 869*s[41] + (4973*s[42])/3 + 
       (58525*s[43])/66 - (67603*s[44])/66 + (60749*s[45])/132 - 
       (736783*s[46])/132 + (147487*s[47])/396 - (51041*s[48])/396 - 
       (1805713*s[49])/396 + (289651*s[50])/66 + (403751*s[51])/396 + 
       (98297*s[52])/99 - (1030985*s[53])/396 - (11591*s[54])/66 - 
       (1039169*s[55])/66 - (405443*s[56])/132 + (1351775*s[57])/132 - 
       (11748161*s[58])/1188 + (6103483*s[59])/594 + (56047967*s[60])/1188 - 
       (28512371*s[61])/21384 - 2*s[64] - 5*s[65] - 4*s[66] + 13*s[67] - 
       2*s[68] + 6*s[69] - 38*s[70] + 11*s[71] + 4*s[72] - 52*s[73] - 
       (27*s[74])/2 + 3*s[75] + 19*s[76] + 44*s[77] - 20*s[78] + 56*s[79] - 
       (167*s[80])/3 + s[81]/3 - 354*s[82] + 24*s[84] - 108*s[85]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((-251*s[2])/24 - (2461*s[3])/48 - (120511*s[4])/96 - 
       (203011*s[5])/264 - (2233091*s[6])/1056 - (120793315*s[7])/6336 + 
       (15886979*s[8])/9504 + (6907835*s[9])/432 + (2098087*s[10])/432 + 
       (133544513*s[11])/6336 + (6151225*s[12])/264 + (29589203*s[13])/2112 + 
       (11831357*s[14])/6336 + (43139015*s[15])/1728 + 
       (101531963*s[16])/3168 + (153275747*s[17])/6336 + 
       (8981741*s[18])/2592 + (3654713*s[19])/1296 + (133185143*s[20])/3564 + 
       (762050447*s[21])/57024 - (570681607*s[22])/57024 - 
       (12294311*s[23])/528 - (146623901*s[24])/7128 + 
       (1737124057*s[25])/64152 - (937749889*s[26])/64152 + s[28]/4 + 
       9*s[29] - (71*s[30])/12 - (23*s[31])/6 + (8*s[32])/3 + 
       (341*s[33])/48 + (59*s[34])/6 + (63*s[35])/4 + (2477*s[36])/36 - 
       (3883*s[37])/72 - (24385*s[38])/36 + (201595*s[39])/72 - 
       (223997*s[40])/72 + (7348*s[41])/3 - (292339*s[42])/72 - 
       (631261*s[43])/264 + (16404007*s[44])/6336 - (534403*s[45])/198 + 
       (8562437*s[46])/396 - (18769913*s[47])/19008 - (4658585*s[48])/19008 + 
       (210013223*s[49])/19008 - (1096955*s[50])/66 - (5878241*s[51])/2112 - 
       (42412591*s[52])/19008 + (27262841*s[53])/2376 - (415579*s[54])/1584 + 
       (50974443*s[55])/704 + (13543671*s[56])/704 - (199500349*s[57])/9504 + 
       (1944778307*s[58])/57024 - (1963860113*s[59])/57024 - 
       (20062114637*s[60])/114048 + (1609513525*s[61])/171072 + (7*s[65])/4 + 
       (41*s[66])/6 - (65*s[67])/6 - (11*s[68])/3 - 18*s[69] - (13*s[70])/3 + 
       s[71]/12 - (103*s[72])/6 + (53*s[73])/6 + (409*s[74])/24 - 
       (409*s[75])/24 + (53*s[76])/6 + (163*s[77])/12 - (175*s[78])/6 - 
       (683*s[79])/3 + (1897*s[80])/36 - 283*s[82] - 3*s[83] - 106*s[84] - 
       100*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((-167*s[2])/36 - (889*s[3])/24 + 
       (1687*s[4])/48 - (4227*s[5])/22 - (65023*s[6])/198 - 
       (76026899*s[7])/28512 + (396733*s[8])/5346 + (8793349*s[9])/3888 + 
       (319643*s[10])/243 + (18695777*s[11])/7128 + (66565507*s[12])/28512 + 
       (10628681*s[13])/9504 + (47277863*s[14])/28512 + (3713975*s[15])/864 + 
       (6134615*s[16])/1188 + (75900809*s[17])/14256 + (3323947*s[18])/5832 + 
       (6743437*s[19])/11664 + (435402995*s[20])/64152 + 
       (680927465*s[21])/256608 - (347355871*s[22])/256608 + 
       (2472209*s[23])/9504 - (896782819*s[24])/256608 + 
       (6352160801*s[25])/2309472 - (4605104057*s[26])/2309472 + 
       (53*s[30])/9 + (23*s[31])/3 - s[32]/6 + (103*s[33])/8 - 
       (227*s[34])/9 - (31*s[35])/18 - (92*s[36])/27 + (950*s[37])/27 + 
       (163*s[38])/2 - (15721*s[39])/72 + (35371*s[40])/216 - 
       (6763*s[41])/72 + (69581*s[42])/216 + (119651*s[43])/2376 - 
       (21749*s[44])/2376 - (1090601*s[45])/2376 + (74623*s[46])/44 + 
       (3336077*s[47])/14256 - (6144823*s[48])/14256 + (271985*s[49])/7128 - 
       (3800239*s[50])/2376 + (588013*s[51])/3564 + (200044*s[52])/891 + 
       (1415197*s[53])/1188 + (33411*s[54])/88 + (4527179*s[55])/528 + 
       (3725671*s[56])/1782 + (57797317*s[57])/10692 + 
       (14377439*s[58])/16038 - (27487615*s[59])/32076 - 
       (719790509*s[60])/42768 + (783723461*s[61])/577368 - 2*s[66] + 
       2*s[67] - s[68] + 4*s[69] - 9*s[70] - s[71]/3 + 7*s[72] - 3*s[73] + 
       (17*s[74])/36 + (7*s[75])/36 - 9*s[76] + (9*s[77])/2 + 14*s[78] - 
       (62*s[79])/9 + (1307*s[80])/54 - (3427*s[82])/6 - (19*s[83])/4 - 
       (71*s[84])/2 - (290*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - u]*(-8*s[2] - (51*s[3])/2 - (177*s[4])/4 - 
       (4655*s[5])/22 - (61305*s[6])/176 - (621723*s[7])/176 + 
       (216629*s[8])/1584 + (439231*s[9])/144 + (102553*s[10])/72 + 
       (3914165*s[11])/1056 + (3844933*s[12])/1056 + (538937*s[13])/264 + 
       (720595*s[14])/528 + (256729*s[15])/48 + (1703315*s[16])/264 + 
       (6270743*s[17])/1056 + (228407*s[18])/432 + (374923*s[19])/432 + 
       (38660935*s[20])/4752 + (1784411*s[21])/594 - (2201783*s[22])/1188 - 
       (932647*s[23])/1056 - (43751575*s[24])/9504 + (369381731*s[25])/
        85536 - (225205961*s[26])/85536 - 3*s[32] - 5*s[33] - 4*s[34] + 
       4*s[35] - (2*s[36])/3 + (91*s[37])/6 - (79*s[38])/2 + (247*s[39])/2 - 
       (1061*s[40])/6 + (335*s[41])/2 - (673*s[42])/6 - (23389*s[43])/66 + 
       (88501*s[44])/264 - (21412*s[45])/33 + (40924*s[46])/11 + 
       (321869*s[47])/1584 - (964207*s[48])/1584 + (2851723*s[49])/1584 - 
       (847849*s[50])/264 - (109469*s[51])/1584 + (35369*s[52])/792 + 
       (49361*s[53])/22 + (7186*s[54])/11 + (2665063*s[55])/176 + 
       (5028785*s[56])/1584 + (2585717*s[57])/594 + (51643363*s[58])/14256 - 
       (57502345*s[59])/14256 - (339330289*s[60])/9504 + 
       (28689779*s[61])/16038 - 12*s[70] - s[74] + s[75] + 12*s[77] - 
       8*s[79] + (4*s[80])/3 - 564*s[82] - 96*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((23*s[2])/6 - (233*s[3])/3 - (6031*s[4])/3 - (138131*s[5])/132 - 
       (200423*s[6])/66 - (5431489*s[7])/198 + (318221*s[8])/132 + 
       (137765*s[9])/6 + (80461*s[10])/12 + (3999601*s[11])/132 + 
       (8869249*s[12])/264 + (16201991*s[13])/792 + (579527*s[14])/264 + 
       (1285691*s[15])/36 + (36106145*s[16])/792 + (3366269*s[17])/99 + 
       (518461*s[18])/108 + (222985*s[19])/54 + (62718419*s[20])/1188 + 
       (43454333*s[21])/2376 - (11402929*s[22])/792 - (13699319*s[23])/396 - 
       (11714525*s[24])/396 + (105584683*s[25])/2673 - 
       (55315417*s[26])/2673 - (10*s[30])/3 + (16*s[31])/3 - (7*s[32])/3 + 
       (77*s[33])/3 - (16*s[34])/3 + (77*s[35])/3 + (209*s[36])/3 - 
       (292*s[37])/3 - 1067*s[38] + (24889*s[39])/6 - (28295*s[40])/6 + 
       (22433*s[41])/6 - (17860*s[42])/3 - (250861*s[43])/66 + 
       (260857*s[44])/66 - (98469*s[45])/22 + (1131088*s[46])/33 - 
       (234647*s[47])/198 - (90742*s[48])/99 + (1669798*s[49])/99 - 
       (868709*s[50])/33 - (838147*s[51])/198 - (336995*s[52])/99 + 
       (2418893*s[53])/132 - (14987*s[54])/11 + (46105681*s[55])/396 + 
       (3070682*s[56])/99 - (8034530*s[57])/297 + (93274781*s[58])/1782 - 
       (188490439*s[59])/3564 - (83505926*s[60])/297 + 
       (960152345*s[61])/64152 - 10*s[66] + 10*s[67] + 10*s[68] + 10*s[69] - 
       6*s[70] + 8*s[71] - (10*s[72])/3 + 6*s[73] + (58*s[74])/3 - 
       (113*s[75])/6 + (40*s[76])/3 + 7*s[77] + (82*s[78])/3 - 468*s[79] + 
       105*s[80] + 16*s[82] - (19*s[83])/2 - 275*s[84] - 96*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-51*s[2])/2 + (51*s[3])/8 - (26595*s[4])/16 - (210453*s[5])/176 - 
       (250743*s[6])/88 - (29241275*s[7])/1056 + (904637*s[8])/396 + 
       (3388513*s[9])/144 + (1049423*s[10])/144 + (32239841*s[11])/1056 + 
       (17732513*s[12])/528 + (7076743*s[13])/352 + (3299147*s[14])/1056 + 
       (3503099*s[15])/96 + (8174957*s[16])/176 + (37185829*s[17])/1056 + 
       (2160551*s[18])/432 + (1786621*s[19])/432 + (261763855*s[20])/4752 + 
       (188471615*s[21])/9504 - (139388233*s[22])/9504 - 
       (5621601*s[23])/176 - (143577149*s[24])/4752 + 
       (3326141987*s[25])/85536 - (1813493843*s[26])/85536 - 6*s[30] - 
       12*s[31] + (9*s[32])/4 - (51*s[33])/4 + 30*s[34] + (117*s[35])/2 + 
       (309*s[36])/4 - (501*s[37])/4 - (4043*s[38])/4 + (63651*s[39])/16 - 
       (70863*s[40])/16 + (55329*s[41])/16 - (91501*s[42])/16 - 
       (53599*s[43])/16 + (115749*s[44])/32 - (7013*s[45])/2 + 
       (463353*s[46])/16 - (140299*s[47])/96 - (13345*s[48])/96 + 
       (1484761*s[49])/96 - (89641*s[50])/4 - (385717*s[51])/96 - 
       (303863*s[52])/96 + (243977*s[53])/16 - (745*s[54])/8 + 
       (3066727*s[55])/32 + (2394083*s[56])/96 - (2214833*s[57])/72 + 
       (39957157*s[58])/864 - (40385035*s[59])/864 - (136939135*s[60])/576 + 
       (93516079*s[61])/7776 - (3*s[62])/4 + 6*s[66] - 6*s[67] - 3*s[68] - 
       9*s[69] - (15*s[70])/2 - (9*s[71])/4 - 18*s[72] + 6*s[73] + 
       (75*s[74])/4 - (75*s[75])/4 + 6*s[76] + (27*s[77])/2 - 27*s[78] - 
       408*s[79] + (229*s[80])/2 - 237*s[82] + 9*s[83] - 90*s[84] - 
       96*s[85]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((-1823*s[2])/72 - (1957*s[3])/144 - (253597*s[4])/288 - 
       (72427*s[5])/99 - (5481257*s[6])/3168 - (446718313*s[7])/28512 + 
       (2227703*s[8])/1782 + (34420357*s[9])/2592 + (10945553*s[10])/2592 + 
       (81611863*s[11])/4752 + (177654929*s[12])/9504 + 
       (39792277*s[13])/3564 + (2680411*s[14])/1188 + (54033595*s[15])/2592 + 
       (756470489*s[16])/28512 + (293937671*s[17])/14256 + 
       (23145361*s[18])/7776 + (17198297*s[19])/7776 + 
       (84181540*s[20])/2673 + (54962609*s[21])/4752 - 
       (706763279*s[22])/85536 - (507374503*s[23])/28512 - 
       (724784251*s[24])/42768 + (5557167521*s[25])/256608 - 
       (96742006*s[26])/8019 + s[29] - (32*s[30])/9 - (193*s[31])/18 + 
       (38*s[32])/9 - (35*s[33])/8 + (607*s[34])/36 + (149*s[35])/12 + 
       (5821*s[36])/108 - (9739*s[37])/216 - (18635*s[38])/36 + 
       (8665*s[39])/4 - (65122*s[40])/27 + (136267*s[41])/72 - 
       (339611*s[42])/108 - (548198*s[43])/297 + (38368031*s[44])/19008 - 
       (1272199*s[45])/594 + (40383317*s[46])/2376 - (43957129*s[47])/57024 - 
       (11371345*s[48])/57024 + (490216759*s[49])/57024 - 
       (15544985*s[50])/1188 - (123412097*s[51])/57024 - 
       (98008223*s[52])/57024 + (64417963*s[53])/7128 - (738227*s[54])/4752 + 
       (120583379*s[55])/2112 + (32062823*s[56])/2112 - 
       (458205977*s[57])/28512 + (4568189731*s[58])/171072 - 
       (4604978089*s[59])/171072 - (47373253981*s[60])/342144 + 
       (425878465*s[61])/57024 + (7*s[65])/4 + (31*s[66])/6 - (55*s[67])/6 - 
       (16*s[68])/3 - 13*s[69] - 6*s[70] - (3*s[71])/4 - (83*s[72])/6 + 
       (139*s[73])/18 + (329*s[74])/24 - (329*s[75])/24 + (43*s[76])/6 + 
       (469*s[77])/36 - (425*s[78])/18 - (538*s[79])/3 + (5141*s[80])/108 - 
       333*s[82] - (41*s[83])/12 - (167*s[84])/2 - (280*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((-67*s[2])/6 - (277*s[3])/12 - (1123*s[4])/8 - (67913*s[5])/264 - 
       (120949*s[6])/264 - (22038971*s[7])/4752 + (2189245*s[8])/7128 + 
       (2539325*s[9])/648 + (536795*s[10])/324 + (5890129*s[11])/1188 + 
       (12147037*s[12])/2376 + (13484477*s[13])/4752 + (2794691*s[14])/2376 + 
       (2874799*s[15])/432 + (19679779*s[16])/2376 + (11314975*s[17])/1584 + 
       (3113675*s[18])/3888 + (3811759*s[19])/3888 + (430322887*s[20])/
        42768 + (39230569*s[21])/10692 - (51720715*s[22])/21384 - 
       (1921577*s[23])/594 - (240082925*s[24])/42768 + 
       (577428649*s[25])/96228 - (332109385*s[26])/96228 - s[30]/3 - 
       (4*s[31])/3 - (23*s[32])/6 + (17*s[33])/12 - (26*s[34])/3 + 7*s[35] + 
       (101*s[36])/9 + (245*s[37])/9 - (243*s[38])/2 + (5513*s[39])/12 - 
       (19331*s[40])/36 + (2677*s[41])/6 - (21499*s[42])/36 - 
       (121955*s[43])/198 + (507833*s[44])/792 - (759419*s[45])/792 + 
       (4951597*s[46])/792 + (28216*s[47])/297 - (346861*s[48])/594 + 
       (14960645*s[49])/4752 - (2083315*s[50])/396 - (1855339*s[51])/4752 - 
       (461141*s[52])/2376 + (4368415*s[53])/1188 + (683173*s[54])/792 + 
       (9441985*s[55])/396 + (2740453*s[56])/528 + (5118803*s[57])/2376 + 
       (106555517*s[58])/14256 - (114445913*s[59])/14256 - 
       (1608521291*s[60])/28512 + (506399*s[61])/176 + 2*s[66] - 2*s[67] + 
       2*s[68] - 6*s[69] - (44*s[70])/3 - (5*s[71])/2 - 2*s[72] - 
       (2*s[73])/3 + s[74]/6 - s[75]/6 + (49*s[77])/3 - (14*s[78])/3 + 
       (83*s[80])/18 - 571*s[82] + 2*s[83] - 92*s[85]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1}, 1 - v]*(3*s[2] - (51*s[3])/8 + 
       (17007*s[4])/16 + (107799*s[5])/176 + (62613*s[6])/44 + 
       (13968749*s[7])/1056 - (83881*s[8])/66 - (542449*s[9])/48 - 
       (128309*s[10])/48 - (5114389*s[11])/352 - (2848785*s[12])/176 - 
       (10414615*s[13])/1056 - (129307*s[14])/352 - (1704625*s[15])/96 - 
       (11558561*s[16])/528 - (16937339*s[17])/1056 - (384373*s[18])/144 - 
       (187421*s[19])/144 - (39761531*s[20])/1584 - (3331959*s[21])/352 + 
       (22114453*s[22])/3168 + (10979761*s[23])/528 + (20939981*s[24])/1584 - 
       (6638079*s[25])/352 + (3674015*s[26])/352 - (3*s[28])/2 + 12*s[29] + 
       27*s[31] + (3*s[32])/4 + (9*s[33])/4 - (51*s[34])/2 - (15*s[35])/2 + 
       8*s[36] + (271*s[37])/4 + (1141*s[38])/2 - (17537*s[39])/8 + 
       (18865*s[40])/8 - (14799*s[41])/8 + (26087*s[42])/8 + 
       (131223*s[43])/88 - (31807*s[44])/22 + (119025*s[45])/88 - 
       (270003*s[46])/22 + (88133*s[47])/66 - (309151*s[48])/264 - 
       (392483*s[49])/66 + (394167*s[50])/44 + (193697*s[51])/88 + 
       (521593*s[52])/264 - (141365*s[53])/22 + (24117*s[54])/22 - 
       (3510647*s[55])/88 - (383942*s[56])/33 + (20039713*s[57])/792 - 
       (27924349*s[58])/1188 + (56760911*s[59])/2376 + 
       (143660651*s[60])/1584 - (220324987*s[61])/42768 + 3*s[64] + 
       (21*s[65])/2 + 12*s[66] - 18*s[67] - 18*s[68] - 30*s[69] - 
       (39*s[70])/2 - (21*s[71])/2 - 6*s[72] + 42*s[73] + (9*s[74])/2 + 
       (3*s[75])/2 - 9*s[76] + (45*s[77])/2 - 30*s[78] + 198*s[79] - 
       (11*s[80])/2 - 1152*s[82] - 27*s[83] + 54*s[84] - 90*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1, 1}, 1 - w]*(-33*s[2] + (201*s[3])/8 + 
       (12927*s[4])/16 + (7569*s[5])/16 + 961*s[6] + (279651*s[7])/32 - 
       (75065*s[8])/72 - (1054099*s[9])/144 - (189161*s[10])/144 - 
       (922855*s[11])/96 - (529735*s[12])/48 - (625975*s[13])/96 + 
       (13811*s[14])/96 - (360609*s[15])/32 - (674027*s[16])/48 - 
       (917863*s[17])/96 - (1030409*s[18])/432 + (13295*s[19])/432 - 
       (7024847*s[20])/432 - (5692957*s[21])/864 + (3912395*s[22])/864 + 
       (903931*s[23])/48 + (3176509*s[24])/432 - (96628999*s[25])/7776 + 
       (56450875*s[26])/7776 + (3*s[30])/2 - 12*s[31] - (15*s[32])/2 - 
       (165*s[33])/8 + (27*s[34])/2 - (15*s[35])/2 + 8*s[36] + 
       (271*s[37])/4 + (1141*s[38])/2 - (17537*s[39])/8 + (18865*s[40])/8 - 
       (14799*s[41])/8 + (26087*s[42])/8 + (131223*s[43])/88 - 
       (31807*s[44])/22 + (119025*s[45])/88 - (270003*s[46])/22 + 
       (88133*s[47])/66 - (309151*s[48])/264 - (392483*s[49])/66 + 
       (394167*s[50])/44 + (193697*s[51])/88 + (521593*s[52])/264 - 
       (141365*s[53])/22 + (24117*s[54])/22 - (3510647*s[55])/88 - 
       (383942*s[56])/33 + (20039713*s[57])/792 - (27924349*s[58])/1188 + 
       (56760911*s[59])/2376 + (143660651*s[60])/1584 - 
       (220324987*s[61])/42768 + 3*s[64] + (21*s[65])/2 + 12*s[66] - 
       18*s[67] - 18*s[68] - 30*s[69] - (39*s[70])/2 - (21*s[71])/2 - 
       6*s[72] + 42*s[73] + (9*s[74])/2 + (3*s[75])/2 - 9*s[76] + 
       (45*s[77])/2 - 30*s[78] + 198*s[79] - (11*s[80])/2 - 1152*s[82] - 
       27*s[83] + 54*s[84] - 90*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]^2*((-937*s[2])/72 - (71*s[3])/9 - 
       (116065*s[4])/144 - (1761439*s[5])/3168 - (4617973*s[6])/3168 - 
       (381657989*s[7])/28512 + (29933521*s[8])/28512 + 
       (29277227*s[9])/2592 + (9530785*s[10])/2592 + (139541131*s[11])/9504 + 
       (151906015*s[12])/9504 + (136240811*s[13])/14256 + 
       (8779037*s[14])/4752 + (11582099*s[15])/648 + (647268013*s[16])/
        28512 + (125413517*s[17])/7128 + (18887873*s[18])/7776 + 
       (1003339*s[19])/486 + (573705973*s[20])/21384 + 
       (91493513*s[21])/9504 - (302134709*s[22])/42768 - 
       (418391573*s[23])/28512 - (1262263363*s[24])/85536 + 
       (9557976767*s[25])/513216 - (5232649883*s[26])/513216 - s[28]/4 + 
       4*s[29] - (29*s[30])/18 - (71*s[31])/18 + (179*s[32])/72 - 
       (85*s[33])/12 + (122*s[34])/9 + (41*s[35])/4 + (7639*s[36])/216 + 
       (5231*s[37])/432 - (5801*s[38])/18 + (127159*s[39])/96 - 
       (1295851*s[40])/864 + (355889*s[41])/288 - (1637327*s[42])/864 - 
       (12225953*s[43])/9504 + (25583011*s[44])/19008 - 
       (13825043*s[45])/9504 + (27255487*s[46])/2376 - 
       (14127977*s[47])/57024 - (30475979*s[48])/57024 + 
       (341010611*s[49])/57024 - (2673247*s[50])/297 - 
       (72012547*s[51])/57024 - (56123593*s[52])/57024 + 
       (177710261*s[53])/28512 + (415193*s[54])/4752 + 
       (250048495*s[55])/6336 + (191621543*s[56])/19008 - 
       (6295000*s[57])/891 + (959917549*s[58])/57024 - 
       (328626535*s[59])/19008 - (32817460283*s[60])/342144 + 
       (950331797*s[61])/192456 + (3*s[62])/8 + s[64]/4 + (14*s[66])/3 - 
       (31*s[67])/6 + (25*s[68])/6 - 15*s[69] + (15*s[70])/2 + 
       (41*s[71])/24 - (49*s[72])/6 + (217*s[73])/36 + (119*s[74])/12 - 
       (107*s[75])/12 + (7*s[76])/2 - (103*s[77])/36 - (527*s[78])/36 - 
       116*s[79] + (4613*s[80])/216 - s[81]/24 - 254*s[82] - (61*s[83])/12 - 
       86*s[84] - (257*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      Qep[w, u, v]*((-64*s[2])/9 - 48*s[3] + (280*s[4])/3 - (7280*s[5])/33 - 
       (17008*s[6])/99 - (2267204*s[7])/891 + (110128*s[8])/2673 + 
       (518240*s[9])/243 + (324088*s[10])/243 + (2112344*s[11])/891 + 
       (1690288*s[12])/891 + (81248*s[13])/99 + (1401080*s[14])/891 + 
       (125788*s[15])/27 + (1478000*s[16])/297 + (4969732*s[17])/891 + 
       (231724*s[18])/729 + (656948*s[19])/729 + (52368056*s[20])/8019 + 
       (19943972*s[21])/8019 - (10075528*s[22])/8019 + (116576*s[23])/99 - 
       (30348124*s[24])/8019 + (181531532*s[25])/72171 - 
       (130860920*s[26])/72171 + (64*s[30])/9 - (64*s[34])/9 - 
       (256*s[35])/9 - (448*s[36])/27 + (880*s[37])/27 + (256*s[38])/3 - 
       (2416*s[39])/9 + (7120*s[40])/27 - (1456*s[41])/9 + (11648*s[42])/27 - 
       (14368*s[43])/297 - (4784*s[44])/297 - (189824*s[45])/297 + 
       (244352*s[46])/99 + (346168*s[47])/891 - (406760*s[48])/891 + 
       (462380*s[49])/891 - (701584*s[50])/297 + (347900*s[51])/891 + 
       (341360*s[52])/891 + (66392*s[53])/33 + (55400*s[54])/99 + 
       (1408456*s[55])/99 + (2170732*s[56])/891 + (28074920*s[57])/2673 + 
       (3240668*s[58])/8019 - (11541188*s[59])/8019 - (69076486*s[60])/2673 + 
       (116138240*s[61])/72171 - (32*s[74])/9 + (32*s[75])/9 + 
       (512*s[79])/9 - (256*s[80])/27 - (1984*s[82])/3 - (256*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[u, w, v]*((-64*s[2])/9 - 48*s[3] + 
       (280*s[4])/3 - (720*s[5])/11 - (7564*s[6])/99 - (444632*s[7])/891 - 
       (213260*s[8])/2673 + (65108*s[9])/243 + (123712*s[10])/243 + 
       (432602*s[11])/891 + (324862*s[12])/891 - (7924*s[13])/99 + 
       (763160*s[14])/891 + (29200*s[15])/27 + (372512*s[16])/297 + 
       (1366006*s[17])/891 + (166348*s[18])/729 + (123140*s[19])/729 + 
       (16186580*s[20])/8019 + (6447356*s[21])/8019 - (1552780*s[22])/8019 + 
       (79622*s[23])/99 - (9949426*s[24])/8019 + (17409314*s[25])/72171 - 
       (29630342*s[26])/72171 + (64*s[30])/9 - (64*s[34])/9 - (256*s[35])/9 - 
       (448*s[36])/27 + (1312*s[37])/27 + (128*s[38])/3 - (3424*s[39])/9 + 
       (10144*s[40])/27 - (3232*s[41])/9 + (18560*s[42])/27 + 
       (34016*s[43])/297 - (31352*s[44])/297 - (83408*s[45])/297 + 
       (38768*s[46])/99 + (350596*s[47])/891 - (623300*s[48])/891 - 
       (312412*s[49])/891 - (101896*s[50])/297 + (477284*s[51])/891 + 
       (307016*s[52])/891 + (8192*s[53])/33 + (10640*s[54])/99 + 
       (333532*s[55])/99 + (1038460*s[56])/891 + (17777552*s[57])/2673 - 
       (8609308*s[58])/8019 + (10771396*s[59])/8019 - (19158886*s[60])/2673 + 
       (59445368*s[61])/72171 - (32*s[74])/9 + (32*s[75])/9 + (512*s[79])/9 - 
       (256*s[80])/27 - (1696*s[82])/3 - (256*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((133*s[2])/18 - (283*s[3])/12 + (3265*s[4])/6 + (2201*s[5])/9 + 
       (15931*s[6])/24 + (301163*s[7])/48 - (151873*s[8])/216 - 
       (1135537*s[9])/216 - (226475*s[10])/216 - (64751*s[11])/9 - 
       (606799*s[12])/72 - (249727*s[13])/48 + (1301*s[14])/3 - 
       (3188713*s[15])/432 - (713089*s[16])/72 - (912545*s[17])/144 - 
       (1597993*s[18])/1296 - (808457*s[19])/1296 - (14445703*s[20])/1296 - 
       (1279135*s[21])/324 + (1074575*s[22])/324 + (764375*s[23])/72 + 
       (7771775*s[24])/1296 - (28065703*s[25])/2916 + (7158467*s[26])/1458 + 
       (2*s[28])/3 - 11*s[29] + (11*s[30])/2 + (16*s[31])/3 - (17*s[32])/3 + 
       (475*s[33])/72 - (415*s[34])/18 - (67*s[35])/9 - (1252*s[36])/27 + 
       (6709*s[37])/108 + (982*s[38])/3 - (46543*s[39])/36 + 
       (142549*s[40])/108 - (35965*s[41])/36 + (51848*s[42])/27 + 
       (456151*s[43])/594 - (2098267*s[44])/2376 + (446239*s[45])/1188 - 
       (2094031*s[46])/396 + (5811125*s[47])/7128 - (5222887*s[48])/7128 - 
       (49944505*s[49])/14256 + (2185387*s[50])/594 + 
       (18762323*s[51])/14256 + (8287627*s[52])/7128 - (1932397*s[53])/792 + 
       (418801*s[54])/792 - (10811567*s[55])/792 - (56382593*s[56])/14256 + 
       (329791399*s[57])/21384 - (1411042129*s[58])/128304 + 
       (1390982515*s[59])/128304 + (3166222093*s[60])/85536 - 
       (488862115*s[61])/288684 - (11*s[65])/6 - 9*s[66] + (40*s[67])/3 + 
       7*s[68] + 26*s[69] - (23*s[70])/3 - s[71]/6 + (40*s[72])/3 - 
       (44*s[73])/3 - (235*s[74])/18 + (235*s[75])/18 - (19*s[76])/3 + 
       s[77]/3 + 26*s[78] + (152*s[79])/9 + (578*s[80])/27 - (2047*s[82])/3 + 
       (3*s[83])/4 + (55*s[84])/2 - (250*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((27*s[2])/2 - (1397*s[3])/4 - (13893*s[4])/8 - (8339*s[5])/11 - 
       (223191*s[6])/88 - (34797977*s[7])/1584 + (4838557*s[8])/2376 + 
       (1947637*s[9])/108 + (572093*s[10])/108 + (39024307*s[11])/1584 + 
       (10991735*s[12])/396 + (26799461*s[13])/1584 + (1708123*s[14])/1584 + 
       (4072795*s[15])/144 + (3641090*s[16])/99 + (14102003*s[17])/528 + 
       (1284959*s[18])/324 + (2281031*s[19])/648 + (299579711*s[20])/7128 + 
       (209894557*s[21])/14256 - (161821001*s[22])/14256 - 
       (5769263*s[23])/198 - (85473323*s[24])/3564 + (1035316069*s[25])/
        32076 - (544695919*s[26])/32076 + 4*s[29] - 3*s[30] + 8*s[31] - 
       17*s[32] + (15*s[33])/2 - 21*s[34] - 3*s[35] + 22*s[36] - 
       (451*s[37])/6 - 912*s[38] + (13343*s[39])/4 - (14895*s[40])/4 + 
       (11339*s[41])/4 - (18657*s[42])/4 - (133385*s[43])/44 + 
       (135789*s[44])/44 - (239299*s[45])/66 + (3542471*s[46])/132 - 
       (47835*s[47])/44 - (7314*s[48])/11 + (600027*s[49])/44 - 
       (446181*s[50])/22 - (70513*s[51])/22 - (59617*s[52])/22 + 
       (2757605*s[53])/198 - (24737*s[54])/66 + (5924377*s[55])/66 + 
       (9559661*s[56])/396 - (29718713*s[57])/1188 + (151585519*s[58])/3564 - 
       (37972054*s[59])/891 - (174774121*s[60])/792 + 
       (766672715*s[61])/64152 - 3*s[65] - 4*s[66] + 5*s[67] - 12*s[68] + 
       24*s[69] - 4*s[70] + 3*s[71] - 2*s[72] + 2*s[73] + (9*s[74])/2 - 
       (9*s[75])/2 + 9*s[76] - 21*s[77] + 6*s[78] - 200*s[79] + 
       (146*s[80])/3 - 316*s[82] + 9*s[83] - 54*s[84] - 80*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((-119*s[2])/2 + (101*s[3])/4 - (8609*s[4])/8 - (33535*s[5])/22 - 
       (261171*s[6])/88 - (41787571*s[7])/1584 + (467993*s[8])/264 + 
       (68260*s[9])/3 + (88591*s[10])/12 + (15242071*s[11])/528 + 
       (1366955*s[12])/44 + (29355059*s[13])/1584 + (2841187*s[14])/528 + 
       (5075413*s[15])/144 + (8834455*s[16])/198 + (55860259*s[17])/1584 + 
       (284461*s[18])/54 + (762299*s[19])/216 + (129858119*s[20])/2376 + 
       (99463277*s[21])/4752 - (22141747*s[22])/1584 - (2613958*s[23])/99 - 
       (11530487*s[24])/396 + (759515491*s[25])/21384 - 
       (445269439*s[26])/21384 - s[28] - 8*s[29] + 4*s[30] - 16*s[31] + 
       3*s[32] + (49*s[33])/4 + 10*s[34] - 3*s[35] + 22*s[36] - 
       (451*s[37])/6 - 912*s[38] + (13343*s[39])/4 - (14895*s[40])/4 + 
       (11339*s[41])/4 - (18657*s[42])/4 - (133385*s[43])/44 + 
       (135789*s[44])/44 - (239299*s[45])/66 + (3542471*s[46])/132 - 
       (47835*s[47])/44 - (7314*s[48])/11 + (600027*s[49])/44 - 
       (446181*s[50])/22 - (70513*s[51])/22 - (59617*s[52])/22 + 
       (2757605*s[53])/198 - (24737*s[54])/66 + (5924377*s[55])/66 + 
       (9559661*s[56])/396 - (29718713*s[57])/1188 + (151585519*s[58])/3564 - 
       (37972054*s[59])/891 - (174774121*s[60])/792 + 
       (766672715*s[61])/64152 - 3*s[65] - 4*s[66] + 5*s[67] - 12*s[68] + 
       24*s[69] - 4*s[70] + 3*s[71] - 2*s[72] + 2*s[73] + (9*s[74])/2 - 
       (9*s[75])/2 + 9*s[76] - 21*s[77] + 6*s[78] - 200*s[79] + 
       (146*s[80])/3 - 316*s[82] + 9*s[83] - 54*s[84] - 80*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((-331*s[2])/36 - (371*s[3])/24 - (26281*s[4])/48 - (355009*s[5])/792 - 
       (135593*s[6])/132 - (90520669*s[7])/9504 + (5220143*s[8])/7128 + 
       (10471823*s[9])/1296 + (1681313*s[10])/648 + (49372145*s[11])/4752 + 
       (107102603*s[12])/9504 + (21127901*s[13])/3168 + 
       (13592617*s[14])/9504 + (10996531*s[15])/864 + (3193909*s[16])/198 + 
       (30031427*s[17])/2376 + (1810369*s[18])/972 + (5185277*s[19])/3888 + 
       (824212643*s[20])/42768 + (602695117*s[21])/85536 - 
       (429293321*s[22])/85536 - (3789339*s[23])/352 - 
       (880037039*s[24])/85536 + (10076665525*s[25])/769824 - 
       (5618666995*s[26])/769824 + s[30]/6 - 2*s[31] + (9*s[32])/2 - 
       (7*s[33])/9 + (35*s[34])/18 + (133*s[35])/18 + (914*s[36])/27 - 
       (109*s[37])/54 - (1747*s[38])/6 + (89599*s[39])/72 - 
       (311245*s[40])/216 + (84313*s[41])/72 - (389435*s[42])/216 - 
       (2720321*s[43])/2376 + (2999771*s[44])/2376 - (3726433*s[45])/2376 + 
       (4528145*s[46])/396 - (4676945*s[47])/14256 - (5480165*s[48])/14256 + 
       (38516365*s[49])/7128 - (21325181*s[50])/2376 - (4531063*s[51])/3564 - 
       (867697*s[52])/891 + (412231*s[53])/66 + (58309*s[54])/792 + 
       (21110773*s[55])/528 + (37275097*s[56])/3564 - (38596835*s[57])/5346 + 
       (273567511*s[58])/16038 - (553732193*s[59])/32076 - 
       (4049338639*s[60])/42768 + (3043714543*s[61])/577368 + 2*s[66] - 
       2*s[67] + 3*s[68] - 8*s[69] - (5*s[70])/3 + (5*s[71])/3 - s[72] - 
       s[73]/3 + (325*s[74])/36 - (301*s[75])/36 - 5*s[76] + (5*s[77])/2 + 
       (2*s[78])/3 - (1126*s[79])/9 + (1987*s[80])/54 - (1781*s[82])/6 - 
       (15*s[83])/4 - (179*s[84])/2 - (238*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((-43*s[2])/4 + (457*s[3])/36 - (21113*s[4])/24 - (71056*s[5])/99 - 
       (210917*s[6])/132 - (50723495*s[7])/3168 + (54556397*s[8])/42768 + 
       (53046625*s[9])/3888 + (17365325*s[10])/3888 + 
       (500370209*s[11])/28512 + (34083211*s[12])/1782 + 
       (322563977*s[13])/28512 + (65109965*s[14])/28512 + 
       (55643317*s[15])/2592 + (387701659*s[16])/14256 + 
       (602369663*s[17])/28512 + (33787859*s[18])/11664 + 
       (7349983*s[19])/2916 + (1039780441*s[20])/32076 + 
       (3018729935*s[21])/256608 - (2175651283*s[22])/256608 - 
       (122143711*s[23])/7128 - (142564520*s[24])/8019 + 
       (25531728649*s[25])/1154736 - (14182616887*s[26])/1154736 - 
       (55*s[30])/18 - (8*s[31])/3 + (905*s[32])/36 - (67*s[33])/36 - 
       (41*s[34])/18 + (17*s[35])/18 + (493*s[36])/36 - (2305*s[37])/108 - 
       (12715*s[38])/36 + (22249*s[39])/16 - (221173*s[40])/144 + 
       (171271*s[41])/144 - (290351*s[42])/144 - (1563235*s[43])/1584 + 
       (1871393*s[44])/1584 - (332656*s[45])/297 + (44887651*s[46])/4752 - 
       (3160655*s[47])/4752 + (300247*s[48])/1188 + (23455397*s[49])/4752 - 
       (487633*s[50])/66 - (1130087*s[51])/792 - (2767121*s[52])/2376 + 
       (69888047*s[53])/14256 + (9088*s[54])/297 + (36738547*s[55])/1188 + 
       (115503121*s[56])/14256 - (540539059*s[57])/42768 + 
       (1022611963*s[58])/64152 - (254366515*s[59])/16038 - 
       (2192330917*s[60])/28512 + (4562267987*s[61])/1154736 + s[64] + 
       s[65]/3 + 2*s[66] - 3*s[67] + (2*s[68])/3 + (4*s[69])/3 + 
       (14*s[70])/3 - (25*s[71])/12 - (7*s[72])/3 + 20*s[73] + 
       (395*s[74])/36 - (287*s[75])/36 + 4*s[76] + (95*s[77])/18 - 
       (58*s[78])/9 - (1558*s[79])/9 + (3143*s[80])/54 - (1120*s[82])/3 + 
       (27*s[83])/2 - 87*s[84] - (236*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-209*s[2])/24 - (1913*s[3])/48 - (4981*s[4])/32 - (30955*s[5])/96 - 
       (9563*s[6])/16 - (4875437*s[7])/864 + (829487*s[8])/2592 + 
       (3123401*s[9])/648 + (318817*s[10])/162 + (647057*s[11])/108 + 
       (5325623*s[12])/864 + (1487869*s[13])/432 + (375919*s[14])/216 + 
       (3492349*s[15])/432 + (8655233*s[16])/864 + (2485795*s[17])/288 + 
       (1070753*s[18])/972 + (7586477*s[19])/7776 + (24321325*s[20])/1944 + 
       (36651565*s[21])/7776 - (22963505*s[22])/7776 - (1706963*s[23])/432 - 
       (51604505*s[24])/7776 + (998227373*s[25])/139968 - 
       (605580215*s[26])/139968 - s[30]/12 + s[31] + (5*s[32])/12 + 
       (7*s[33])/12 - (109*s[34])/12 - s[35] + (251*s[36])/18 + 
       (275*s[37])/16 - (883*s[38])/8 + (21731*s[39])/48 - 
       (78421*s[40])/144 + (1334*s[41])/3 - (22187*s[42])/36 - 
       (891455*s[43])/1584 + (3776627*s[44])/6336 - (2815075*s[45])/3168 + 
       (18516419*s[46])/3168 + (767267*s[47])/19008 - (9001921*s[48])/19008 + 
       (52597615*s[49])/19008 - (947431*s[50])/198 - (8042153*s[51])/19008 - 
       (4925087*s[52])/19008 + (31794265*s[53])/9504 + (162553*s[54])/396 + 
       (139161835*s[55])/6336 + (33160091*s[56])/6336 + 
       (1815397*s[57])/3168 + (429641045*s[58])/57024 - 
       (448935257*s[59])/57024 - (5879764327*s[60])/114048 + 
       (712348517*s[61])/256608 - s[62]/8 - s[66]/6 + s[67]/6 + (5*s[68])/6 - 
       s[69]/2 - (31*s[70])/6 - (25*s[71])/24 - (7*s[72])/6 - (17*s[73])/6 + 
       (23*s[74])/24 - (23*s[75])/24 - (2*s[76])/3 + (79*s[77])/12 - 
       (5*s[78])/6 - (89*s[79])/3 + (523*s[80])/72 - 544*s[82] - s[83] - 
       16*s[84] - 78*s[85]) + HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*
      ((-163*s[2])/12 - (603*s[3])/8 - (14451*s[4])/16 - (44755*s[5])/66 - 
       (18215*s[6])/11 - (9180937*s[7])/594 + (18385661*s[8])/14256 + 
       (4208245*s[9])/324 + (5625845*s[10])/1296 + (159612485*s[11])/9504 + 
       (172675699*s[12])/9504 + (25468909*s[13])/2376 + 
       (10981027*s[14])/4752 + (4529837*s[15])/216 + (125414753*s[16])/4752 + 
       (66291785*s[17])/3168 + (1333771*s[18])/486 + (2456875*s[19])/972 + 
       (1335276187*s[20])/42768 + (118373209*s[21])/10692 - 
       (345065477*s[22])/42768 - (156886229*s[23])/9504 - 
       (1476571795*s[24])/85536 + (16422508265*s[25])/769824 - 
       (8952950885*s[26])/769824 - (4*s[30])/3 + s[31]/3 - s[32]/3 + 
       (55*s[33])/24 - (44*s[34])/3 + (73*s[35])/6 + (95*s[36])/36 - 
       (944*s[37])/9 - (4819*s[38])/12 + (28453*s[39])/16 - 
       (293177*s[40])/144 + (75853*s[41])/48 - (375031*s[42])/144 - 
       (2406667*s[43])/1584 + (1349081*s[44])/792 - (799523*s[45])/396 + 
       (8058007*s[46])/528 - (3161267*s[47])/4752 - (279097*s[48])/2376 + 
       (33819035*s[49])/4752 - (9411797*s[50])/792 - (560920*s[51])/297 - 
       (6807475*s[52])/4752 + (13137505*s[53])/1584 - (28097*s[54])/66 + 
       (41812033*s[55])/792 + (66267865*s[56])/4752 - 
       (161160139*s[57])/14256 + (61827878*s[58])/2673 - 
       (496133575*s[59])/21384 - (3583733807*s[60])/28512 + 
       (1322456581*s[61])/192456 - (19*s[66])/3 + (19*s[67])/3 - 
       (19*s[68])/3 + 19*s[69] - (20*s[70])/3 - (43*s[71])/12 - (7*s[72])/3 + 
       2*s[73] + (103*s[74])/12 - (73*s[75])/12 + (26*s[76])/3 + 
       (5*s[77])/6 + 11*s[78] - (761*s[79])/3 + (1987*s[80])/18 - 
       (981*s[82])/2 + 5*s[83] - (157*s[84])/2 - 76*s[85]) + 
     HPL[{0, 1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w]*((137*s[2])/16 - 
       (5419*s[3])/288 - (164909*s[4])/576 - (565145*s[5])/3168 - 
       (2615453*s[6])/6336 - (547472225*s[7])/114048 + (2279429*s[8])/6336 + 
       (876907*s[9])/216 + (229783*s[10])/144 + (192950081*s[11])/38016 + 
       (5545129*s[12])/1056 + (340904269*s[13])/114048 + 
       (36874433*s[14])/38016 + (73709639*s[15])/10368 + 
       (30345947*s[16])/3564 + (827945669*s[17])/114048 + 
       (623231*s[18])/972 + (17207557*s[19])/15552 + (1741496533*s[20])/
        171072 + (1182340195*s[21])/342144 - (96161363*s[22])/38016 - 
       (108059243*s[23])/28512 - (41654171*s[24])/7128 + 
       (9839421179*s[25])/1539648 - (5335528679*s[26])/1539648 + s[28]/2 + 
       s[29] + (53*s[30])/72 + (88*s[31])/9 - (25*s[32])/6 - (257*s[33])/24 - 
       (1001*s[34])/72 + (313*s[35])/24 + (1165*s[36])/216 - 
       (16021*s[37])/432 - (15383*s[38])/72 + (2789*s[39])/3 - 
       (240163*s[40])/216 + (126619*s[41])/144 - (72443*s[42])/54 - 
       (267859*s[43])/297 + (19069591*s[44])/19008 - (12591455*s[45])/9504 + 
       (89286829*s[46])/9504 - (11980049*s[47])/57024 - 
       (15927905*s[48])/57024 + (243417395*s[49])/57024 - 
       (4495637*s[50])/594 - (56861161*s[51])/57024 - 
       (39211519*s[52])/57024 + (37281833*s[53])/7128 + (517201*s[54])/2376 + 
       (215837093*s[55])/6336 + (163544383*s[56])/19008 - 
       (13047737*s[57])/3168 + (2315867779*s[58])/171072 - 
       (2370045769*s[59])/171072 - (27378603551*s[60])/342144 + 
       (6563436545*s[61])/1539648 + (7*s[62])/4 + s[64]/2 - (28*s[66])/3 + 
       (103*s[67])/12 - (5*s[68])/6 + (47*s[69])/2 - (14*s[70])/3 - 
       (5*s[71])/3 + (17*s[72])/4 + (103*s[73])/36 + (55*s[74])/16 - 
       (45*s[75])/16 + (4*s[76])/3 - (41*s[77])/72 + (817*s[78])/36 - 
       (632*s[79])/3 + (16517*s[80])/216 - s[81]/12 - (993*s[82])/2 - 
       (97*s[83])/12 - 73*s[84] - (224*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - v]*
      (-6*s[2] - 31*s[3] - 24*s[4] - (3015*s[5])/22 - (11377*s[6])/44 - 
       (873479*s[7])/396 + (113899*s[8])/1188 + (201593*s[9])/108 + 
       (24016*s[10])/27 + (1806649*s[11])/792 + (1759919*s[12])/792 + 
       (79529*s[13])/66 + (185407*s[14])/198 + (40795*s[15])/12 + 
       (89891*s[16])/22 + (3026369*s[17])/792 + (65075*s[18])/162 + 
       (38255*s[19])/81 + (9167953*s[20])/1782 + (6966845*s[21])/3564 - 
       (4034917*s[22])/3564 - (204211*s[23])/264 - (20108507*s[24])/7128 + 
       (168293605*s[25])/64152 - (107885083*s[26])/64152 - s[32] - 3*s[33] - 
       8*s[34] - (28*s[35])/3 - (7*s[36])/3 + (70*s[37])/3 - 8*s[38] + 
       (47*s[39])/2 - (337*s[40])/6 + (117*s[41])/2 + (19*s[42])/6 - 
       (12569*s[43])/66 + (10349*s[44])/66 - (28771*s[45])/66 + 
       (25412*s[46])/11 + (63181*s[47])/396 - (160097*s[48])/396 + 
       (91052*s[49])/99 - (128483*s[50])/66 + (3943*s[51])/198 + 
       (9565*s[52])/198 + (94045*s[53])/66 + (5943*s[54])/22 + 
       (428661*s[55])/44 + (446165*s[56])/198 + (932630*s[57])/297 + 
       (1969823*s[58])/891 - (4368685*s[59])/1782 - (6472636*s[60])/297 + 
       (40783883*s[61])/32076 - 4*s[70] - 2*s[74] + 2*s[75] + 4*s[77] + 
       8*s[79] + (2*s[80])/3 - 378*s[82] - 72*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 1 - u]*
      ((81*s[2])/2 - (1533*s[3])/4 - (38157*s[4])/8 - (22515*s[5])/44 - 
       (506709*s[6])/88 - (23529881*s[7])/528 + (504205*s[8])/88 + 
       (141491*s[9])/4 + 7928*s[10] + (8962193*s[11])/176 + 
       (2657445*s[12])/44 + (19905157*s[13])/528 - (662203*s[14])/176 + 
       (2487227*s[15])/48 + (9452251*s[16])/132 + (23924729*s[17])/528 + 
       (295693*s[18])/36 + (354109*s[19])/72 + (60990529*s[20])/792 + 
       (38515951*s[21])/1584 - (12137357*s[22])/528 - (5104573*s[23])/66 - 
       (5744443*s[24])/132 + (124829171*s[25])/1782 - (29775145*s[26])/891 + 
       48*s[29] - 42*s[30] - 78*s[31] - 9*s[32] - (627*s[33])/4 + 60*s[34] + 
       321*s[35] + 65*s[36] - (549*s[37])/2 - 1851*s[38] + (17553*s[39])/2 - 
       (19619*s[40])/2 + 7623*s[41] - (26599*s[42])/2 - (139483*s[43])/22 + 
       (658213*s[44])/88 - (250659*s[45])/44 + (2432291*s[46])/44 - 
       (1200563*s[47])/264 + (376969*s[48])/264 + (7586681*s[49])/264 - 
       (446075*s[50])/11 - (2470087*s[51])/264 - (2018881*s[52])/264 + 
       (1809701*s[53])/66 - (60271*s[54])/11 + (14782605*s[55])/88 + 
       (13432943*s[56])/264 - (36153817*s[57])/396 + (230290699*s[58])/2376 - 
       (223249009*s[59])/2376 - (672278921*s[60])/1584 + 
       (507587233*s[61])/21384 + 6*s[64] + 12*s[65] + 24*s[66] - 36*s[67] - 
       36*s[68] - 144*s[69] - 12*s[71] - 66*s[72] + 42*s[73] + 
       (135*s[74])/2 - (135*s[75])/2 + 144*s[76] + 33*s[77] - 210*s[78] - 
       1032*s[79] + 333*s[80] + s[81] + 396*s[82] + 18*s[83] - 216*s[84] - 
       72*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 1}, 1 - u]*
      ((-273*s[2])/2 + (1527*s[3])/4 - (22203*s[4])/8 - (30372*s[5])/11 - 
       (583221*s[6])/88 - (28221917*s[7])/528 + (3286649*s[8])/792 + 
       (1662629*s[9])/36 + (458635*s[10])/36 + (31169843*s[11])/528 + 
       (2150848*s[12])/33 + (6910059*s[13])/176 + (4936631*s[14])/528 + 
       (1086101*s[15])/16 + (971717*s[16])/11 + (35214457*s[17])/528 + 
       (1253671*s[18])/108 + (951679*s[19])/216 + (255251587*s[20])/2376 + 
       (194218073*s[21])/4752 - (135301357*s[22])/4752 - (2860017*s[23])/44 - 
       (32132927*s[24])/594 + (196597529*s[25])/2673 - 
       (113060330*s[26])/2673 - 3*s[30] - 72*s[31] + 18*s[32] - 
       (45*s[33])/2 + 153*s[34] + 321*s[35] + 65*s[36] - (549*s[37])/2 - 
       1851*s[38] + (17553*s[39])/2 - (19619*s[40])/2 + 7623*s[41] - 
       (26599*s[42])/2 - (139483*s[43])/22 + (658213*s[44])/88 - 
       (250659*s[45])/44 + (2432291*s[46])/44 - (1200563*s[47])/264 + 
       (376969*s[48])/264 + (7586681*s[49])/264 - (446075*s[50])/11 - 
       (2470087*s[51])/264 - (2018881*s[52])/264 + (1809701*s[53])/66 - 
       (60271*s[54])/11 + (14782605*s[55])/88 + (13432943*s[56])/264 - 
       (36153817*s[57])/396 + (230290699*s[58])/2376 - 
       (223249009*s[59])/2376 - (672278921*s[60])/1584 + 
       (507587233*s[61])/21384 + 6*s[64] + 12*s[65] + 24*s[66] - 36*s[67] - 
       36*s[68] - 144*s[69] - 12*s[71] - 66*s[72] + 42*s[73] + 
       (135*s[74])/2 - (135*s[75])/2 + 144*s[76] + 33*s[77] - 210*s[78] - 
       1032*s[79] + 333*s[80] + s[81] + 396*s[82] + 18*s[83] - 216*s[84] - 
       72*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Ot[u, v, w]*
      (-11*s[2] - (187*s[3])/6 - (5451*s[4])/8 - (140429*s[5])/264 - 
       (115485*s[6])/88 - (9269921*s[7])/792 + (6644827*s[8])/7128 + 
       (6409049*s[9])/648 + (2037955*s[10])/648 + (60947191*s[11])/4752 + 
       (66354623*s[12])/4752 + (19834883*s[13])/2376 + (988511*s[14])/594 + 
       (3367915*s[15])/216 + (47033795*s[16])/2376 + (73045249*s[17])/4752 + 
       (4288117*s[18])/1944 + (3291443*s[19])/1944 + (250996723*s[20])/
        10692 + (183144311*s[21])/21384 - (131515081*s[22])/21384 - 
       (63175721*s[23])/4752 - (546069113*s[24])/42768 + 
       (6248547805*s[25])/384912 - (3468223921*s[26])/384912 - s[30]/6 - 
       3*s[31] + (5*s[32])/3 + (37*s[33])/24 + (7*s[34])/6 + s[35]/3 + 
       (68*s[36])/3 - (503*s[37])/18 - (1150*s[38])/3 + (6235*s[39])/4 - 
       (21113*s[40])/12 + (16585*s[41])/12 - (26971*s[42])/12 - 
       (61911*s[43])/44 + (390311*s[44])/264 - (675079*s[45])/396 + 
       (2566133*s[46])/198 - (21363*s[47])/44 - (18773*s[48])/66 + 
       (420991*s[49])/66 - (1316333*s[50])/132 - (615431*s[51])/396 - 
       (328975*s[52])/264 + (2057444*s[53])/297 - (22922*s[54])/99 + 
       (4368658*s[55])/99 + (3486973*s[56])/297 - (19170923*s[57])/1782 + 
       (107041195*s[58])/5346 - (54051512*s[59])/2673 - 
       (252625427*s[60])/2376 + (1109761093*s[61])/192456 + s[71] - 6*s[72] + 
       (37*s[74])/6 - (37*s[75])/6 + 6*s[76] + s[77]/3 - (10*s[78])/3 - 
       (436*s[79])/3 + (331*s[80])/9 - 252*s[82] - 72*s[84] - 72*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((-53*s[2])/12 - (571*s[3])/24 + (2669*s[4])/48 - (16883*s[5])/132 - 
       (157805*s[6])/528 - (22326497*s[7])/9504 + (114575*s[8])/1584 + 
       (12121*s[9])/6 + (86755*s[10])/72 + (6852317*s[11])/3168 + 
       (234695*s[12])/132 + (7662109*s[13])/9504 + (5340581*s[14])/3168 + 
       (3494303*s[15])/864 + (10782445*s[16])/2376 + (47242241*s[17])/9504 + 
       (111743*s[18])/324 + (723793*s[19])/1296 + (87634957*s[20])/14256 + 
       (63757051*s[21])/28512 - (11222173*s[22])/9504 + 
       (1346669*s[23])/1188 - (2524271*s[24])/792 + (287683703*s[25])/
        128304 - (207365471*s[26])/128304 + (2*s[30])/3 + (17*s[31])/3 + 
       (5*s[32])/6 + (25*s[33])/8 - (61*s[34])/3 + (19*s[35])/2 - 
       (881*s[36])/18 - (1567*s[37])/36 + (1117*s[38])/6 - (997*s[39])/2 + 
       (4129*s[40])/9 - (4025*s[41])/12 + (5885*s[42])/9 + 
       (71683*s[43])/198 - (562139*s[44])/1584 - (89681*s[45])/792 - 
       (517697*s[46])/792 + (830017*s[47])/4752 - (452759*s[48])/4752 - 
       (7827691*s[49])/4752 + (62989*s[50])/198 + (1497929*s[51])/4752 + 
       (1729691*s[52])/4752 - (71855*s[53])/1188 - (56681*s[54])/198 + 
       (336251*s[55])/528 + (750425*s[56])/1584 + (15448153*s[57])/2376 - 
       (3839383*s[58])/1584 + (13032187*s[59])/4752 + 
       (113501119*s[60])/28512 + (43578649*s[61])/128304 - 10*s[66] + 
       11*s[67] - 10*s[68] + 30*s[69] - 6*s[70] - s[71] + 7*s[72] + 
       (7*s[73])/3 - (19*s[74])/4 + (25*s[75])/4 - 12*s[76] - (29*s[77])/6 + 
       (73*s[78])/3 - 104*s[79] + (1415*s[80])/18 - 578*s[82] + 
       (13*s[83])/2 - 15*s[84] - 72*s[85]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*Omega2[v, w, u]*((-17*s[2])/3 - (115*s[3])/4 + 
       (21*s[4])/8 - (17425*s[5])/132 - (20241*s[6])/88 - (333941*s[7])/176 + 
       (141403*s[8])/2376 + (43603*s[9])/27 + (87605*s[10])/108 + 
       (3076615*s[11])/1584 + (1455985*s[12])/792 + (1560775*s[13])/1584 + 
       (1487881*s[14])/1584 + (428195*s[15])/144 + (2817809*s[16])/792 + 
       (5448925*s[17])/1584 + (110843*s[18])/324 + (278429*s[19])/648 + 
       (32432897*s[20])/7128 + (24981499*s[21])/14256 - 
       (13838771*s[22])/14256 - (58657*s[23])/198 - (8869895*s[24])/3564 + 
       (17448265*s[25])/8019 - (11605852*s[26])/8019 - s[32] - (11*s[33])/3 - 
       (22*s[34])/3 - (23*s[35])/3 - (44*s[36])/9 + (397*s[37])/18 + 
       (5*s[38])/3 - 17*s[39] - (82*s[40])/9 + (61*s[41])/3 + (574*s[42])/9 - 
       (15245*s[43])/99 + (95641*s[44])/792 - (155227*s[45])/396 + 
       (260407*s[46])/132 + (408955*s[47])/2376 - (941933*s[48])/2376 + 
       (1794593*s[49])/2376 - (166010*s[50])/99 + (152261*s[51])/2376 + 
       (203567*s[52])/2376 + (163253*s[53])/132 + (8710*s[54])/33 + 
       (2260139*s[55])/264 + (4607107*s[56])/2376 + (12242539*s[57])/3564 + 
       (36014795*s[58])/21384 - (40924547*s[59])/21384 - 
       (270613889*s[60])/14256 + (107662669*s[61])/96228 - 4*s[70] - 
       (11*s[74])/6 + (11*s[75])/6 + 4*s[77] + (40*s[79])/3 - (11*s[80])/9 - 
       368*s[82] - 68*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      Omega2[w, u, v]*((-131*s[2])/12 - (433*s[3])/24 - (32137*s[4])/48 - 
       (35929*s[5])/66 - (695687*s[6])/528 - (112824947*s[7])/9504 + 
       (4426607*s[8])/4752 + (542567*s[9])/54 + (699277*s[10])/216 + 
       (41199799*s[11])/3168 + (11194069*s[12])/792 + (80353987*s[13])/9504 + 
       (5674459*s[14])/3168 + (13704413*s[15])/864 + (5978459*s[16])/297 + 
       (149327315*s[17])/9504 + (698749*s[18])/324 + (2339375*s[19])/1296 + 
       (340742195*s[20])/14256 + (82440055*s[21])/9504 - 
       (178290289*s[22])/28512 - (15414403*s[23])/1188 - 
       (93618163*s[24])/7128 + (703293097*s[25])/42768 - 
       (389084449*s[26])/42768 - s[30]/3 - (7*s[31])/3 + (5*s[32])/6 + 
       (19*s[33])/8 - s[34]/3 + (17*s[35])/2 + (203*s[36])/9 - 
       (388*s[37])/9 - (2285*s[38])/6 + (12381*s[39])/8 - (126637*s[40])/72 + 
       (32885*s[41])/24 - (160397*s[42])/72 - (1119203*s[43])/792 + 
       (296099*s[44])/198 - (661699*s[45])/396 + (10169179*s[46])/792 - 
       (279721*s[47])/594 - (760867*s[48])/2376 + (3805951*s[49])/594 - 
       (979354*s[50])/99 - (3631187*s[51])/2376 - (2891021*s[52])/2376 + 
       (8136385*s[53])/1188 - (25921*s[54])/99 + (11524885*s[55])/264 + 
       (765967*s[56])/66 - (25066753*s[57])/2376 + (17616911*s[58])/891 - 
       (142459675*s[59])/7128 - (755502695*s[60])/7128 + 
       (241360303*s[61])/42768 + s[69] - s[70] - 5*s[72] + (7*s[73])/3 + 
       (21*s[74])/4 - (21*s[75])/4 + 7*s[76] + s[77]/6 - (11*s[78])/3 - 
       174*s[79] + (472*s[80])/9 - 324*s[82] - s[83] - 66*s[84] - 68*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Omega2[u, v, w]*
      ((-45*s[2])/4 - (463*s[3])/24 - (32657*s[4])/48 - (64837*s[5])/132 - 
       (657719*s[6])/528 - (107530469*s[7])/9504 + (4406555*s[8])/4752 + 
       (2065193*s[9])/216 + (642379*s[10])/216 + (39434677*s[11])/3168 + 
       (10812811*s[12])/792 + (77870017*s[13])/9504 + (4569757*s[14])/3168 + 
       (12918527*s[15])/864 + (22621451*s[16])/1188 + 
       (138383429*s[17])/9504 + (1347425*s[18])/648 + (2136689*s[19])/1296 + 
       (321200705*s[20])/14256 + (77114705*s[21])/9504 - 
       (170012431*s[22])/28512 - (7802477*s[23])/594 - 
       (88006969*s[24])/7128 + (56535133*s[25])/3564 - 
       (15463961*s[26])/1782 - (7*s[30])/6 - (14*s[31])/3 + 2*s[32] + s[33] + 
       (25*s[34])/6 + (17*s[35])/2 + (203*s[36])/9 - (388*s[37])/9 - 
       (2285*s[38])/6 + (12381*s[39])/8 - (126637*s[40])/72 + 
       (32885*s[41])/24 - (160397*s[42])/72 - (1119203*s[43])/792 + 
       (296099*s[44])/198 - (661699*s[45])/396 + (10169179*s[46])/792 - 
       (279721*s[47])/594 - (760867*s[48])/2376 + (3805951*s[49])/594 - 
       (979354*s[50])/99 - (3631187*s[51])/2376 - (2891021*s[52])/2376 + 
       (8136385*s[53])/1188 - (25921*s[54])/99 + (11524885*s[55])/264 + 
       (765967*s[56])/66 - (25066753*s[57])/2376 + (17616911*s[58])/891 - 
       (142459675*s[59])/7128 - (755502695*s[60])/7128 + 
       (241360303*s[61])/42768 + s[69] - s[70] - 5*s[72] + (7*s[73])/3 + 
       (21*s[74])/4 - (21*s[75])/4 + 7*s[76] + s[77]/6 - (11*s[78])/3 - 
       174*s[79] + (472*s[80])/9 - 324*s[82] - s[83] - 66*s[84] - 68*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((-41*s[2])/6 + (75*s[3])/4 - (529*s[4])/3 - (20765*s[5])/66 - 
       (22721*s[6])/33 - (28321423*s[7])/4752 + (295349*s[8])/891 + 
       (1652671*s[9])/324 + (1311451*s[10])/648 + (30127615*s[11])/4752 + 
       (30963605*s[12])/4752 + (375646*s[13])/99 + (4277579*s[14])/2376 + 
       (1219511*s[15])/144 + (8266987*s[16])/792 + (21375295*s[17])/2376 + 
       (4122875*s[18])/3888 + (4094455*s[19])/3888 + (34530013*s[20])/2673 + 
       (206225827*s[21])/42768 - (16803529*s[22])/5346 - 
       (6319403*s[23])/1584 - (76233887*s[24])/10692 + 
       (2929867591*s[25])/384912 - (109305205*s[26])/24057 - 2*s[29] - 
       (23*s[30])/6 + (5*s[31])/3 + (11*s[32])/6 + (29*s[33])/8 - 
       (25*s[34])/2 + (5*s[35])/3 - (82*s[36])/9 + (299*s[37])/12 - 
       (136*s[38])/3 + (2039*s[39])/12 - (10253*s[40])/36 + (3191*s[41])/12 - 
       (1843*s[42])/9 - (42307*s[43])/99 + (307751*s[44])/792 - 
       (96853*s[45])/132 + (1762507*s[46])/396 + (300769*s[47])/1188 - 
       (815093*s[48])/1188 + (8848085*s[49])/4752 - (1463899*s[50])/396 - 
       (571327*s[51])/4752 - (84767*s[52])/2376 + (6212731*s[53])/2376 + 
       (176411*s[54])/792 + (1757978*s[55])/99 + (20970809*s[56])/4752 + 
       (19936475*s[57])/7128 + (220826149*s[58])/42768 - 
       (237998599*s[59])/42768 - (1164291389*s[60])/28512 + 
       (106855571*s[61])/48114 - (11*s[65])/6 - 5*s[66] + (28*s[67])/3 + 
       11*s[68] + 14*s[69] - s[70]/3 + (11*s[71])/6 + (16*s[72])/3 - 
       12*s[73] - (9*s[74])/2 + (9*s[75])/2 - (7*s[76])/3 - (5*s[77])/3 + 
       (38*s[78])/3 - (304*s[79])/3 + 34*s[80] - 408*s[82] + (7*s[83])/4 - 
       (53*s[84])/2 - 66*s[85]) + HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v]*(19*s[2] - 44*s[3] - (1577*s[4])/2 - 
       (10510*s[5])/11 - (15006*s[6])/11 - (6349451*s[7])/396 + 
       (665789*s[8])/594 + (748825*s[9])/54 + (254675*s[10])/54 + 
       (1685687*s[11])/99 + (7053763*s[12])/396 + (1332883*s[13])/132 + 
       (1201823*s[14])/396 + (277625*s[15])/12 + (606651*s[16])/22 + 
       (4560695*s[17])/198 + (482867*s[18])/162 + (437731*s[19])/162 + 
       (30028145*s[20])/891 + (44362235*s[21])/3564 - (30016573*s[22])/3564 - 
       (2061875*s[23])/132 - (64012063*s[24])/3564 + (169067168*s[25])/8019 - 
       (97618733*s[26])/8019 + 4*s[27] - 2*s[30] + 14*s[31] + (33*s[33])/2 - 
       4*s[34] - 6*s[35] + 74*s[36] - (149*s[37])/3 - 536*s[38] + 
       1955*s[39] - 2157*s[40] + 1737*s[41] - 2745*s[42] - (22195*s[43])/11 + 
       (81207*s[44])/44 - (173431*s[45])/66 + (1191871*s[46])/66 - 
       (21875*s[47])/44 - (10831*s[48])/44 + (398397*s[49])/44 - 
       (159879*s[50])/11 - (244933*s[51])/132 - (62793*s[52])/44 + 
       (2072327*s[53])/198 + (21407*s[54])/33 + (8831993*s[55])/132 + 
       (5975267*s[56])/396 - (2189485*s[57])/594 + (87211957*s[58])/3564 - 
       (94215865*s[59])/3564 - (122259043*s[60])/792 + 
       (60997066*s[61])/8019 - 8*s[62] - 4*s[70] - 8*s[72] + 4*s[74] - 
       4*s[75] - 10*s[76] + 2*s[77] - 4*s[78] - 116*s[79] + (8*s[80])/3 - 
       296*s[82] + 6*s[83] - 36*s[84] - 64*s[85]) + 
     HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*(-18*s[2] + 23*s[3] - 
       (1853*s[4])/2 - (18149*s[5])/22 - (33631*s[6])/22 - 
       (1671367*s[7])/99 + (756473*s[8])/594 + (769615*s[9])/54 + 
       (271271*s[10])/54 + (7200953*s[11])/396 + (7582621*s[12])/396 + 
       (2295065*s[13])/198 + (212552*s[14])/99 + (216245*s[15])/9 + 
       (5749841*s[16])/198 + (1054871*s[17])/44 + (184705*s[18])/81 + 
       (304700*s[19])/81 + (29952344*s[20])/891 + (10549664*s[21])/891 - 
       (15781625*s[22])/1782 - (5871509*s[23])/396 - (71516065*s[24])/3564 + 
       (747244907*s[25])/32076 - (400774661*s[26])/32076 + 8*s[30] - 
       4*s[31] - 2*s[32] + (5*s[33])/2 + 2*s[34] - 6*s[35] + 74*s[36] - 
       (149*s[37])/3 - 536*s[38] + 1955*s[39] - 2157*s[40] + 1737*s[41] - 
       2745*s[42] - (22195*s[43])/11 + (81207*s[44])/44 - (173431*s[45])/66 + 
       (1191871*s[46])/66 - (21875*s[47])/44 - (10831*s[48])/44 + 
       (398397*s[49])/44 - (159879*s[50])/11 - (244933*s[51])/132 - 
       (62793*s[52])/44 + (2072327*s[53])/198 + (21407*s[54])/33 + 
       (8831993*s[55])/132 + (5975267*s[56])/396 - (2189485*s[57])/594 + 
       (87211957*s[58])/3564 - (94215865*s[59])/3564 - 
       (122259043*s[60])/792 + (60997066*s[61])/8019 - 8*s[62] - 4*s[70] - 
       8*s[72] + 4*s[74] - 4*s[75] - 10*s[76] + 2*s[77] - 4*s[78] - 
       116*s[79] + (8*s[80])/3 - 296*s[82] + 6*s[83] - 36*s[84] - 64*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]^2*((-51*s[2])/4 + (385*s[3])/8 - 
       (6775*s[4])/16 - (21529*s[5])/44 - (174285*s[6])/176 - 
       (30084829*s[7])/3168 + (3400879*s[8])/4752 + (219536*s[9])/27 + 
       (607445*s[10])/216 + (32471827*s[11])/3168 + (8626823*s[12])/792 + 
       (6774367*s[13])/1056 + (5984263*s[14])/3168 + (1257769*s[15])/96 + 
       (2152309*s[16])/132 + (42116765*s[17])/3168 + (268109*s[18])/162 + 
       (1998191*s[19])/1296 + (280188647*s[20])/14256 + 
       (206826217*s[21])/28512 - (143332949*s[22])/28512 - 
       (1176613*s[23])/132 - (76815773*s[24])/7128 + (1629399269*s[25])/
        128304 - (927745265*s[26])/128304 - s[31] - (5*s[32])/2 + 
       (47*s[33])/8 - 4*s[34] + (17*s[35])/2 + (77*s[36])/6 - (137*s[37])/4 - 
       (533*s[38])/2 + 1090*s[39] - (7439*s[40])/6 + (3957*s[41])/4 - 
       (9373*s[42])/6 - (35888*s[43])/33 + (581717*s[44])/528 - 
       (116741*s[45])/88 + (2621893*s[46])/264 - (411199*s[47])/1584 - 
       (578575*s[48])/1584 + (7756597*s[49])/1584 - (257984*s[50])/33 - 
       (1643663*s[51])/1584 - (1238645*s[52])/1584 + (2183887*s[53])/396 + 
       (3031*s[54])/66 + (18594757*s[55])/528 + (14156803*s[56])/1584 - 
       (12648923*s[57])/2376 + (206587631*s[58])/14256 - 
       (213988529*s[59])/14256 - (794734549*s[60])/9504 + 
       (559662491*s[61])/128304 - s[64] - s[65] - s[66] + 3*s[67] + 4*s[68] + 
       5*s[69] - 2*s[70] + s[71] - 5*s[72] - 3*s[73] + (7*s[74])/4 - 
       (7*s[75])/4 + 8*s[76] - (7*s[77])/2 - s[78] - 138*s[79] + 
       (67*s[80])/2 - 272*s[82] + 6*s[83] - 36*s[84] - 64*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]^2*((-53*s[2])/4 - (315*s[3])/8 - 
       (8749*s[4])/16 - (30651*s[5])/88 - (164861*s[6])/176 - 
       (27149857*s[7])/3168 + (1098593*s[8])/1584 + (259339*s[9])/36 + 
       (83195*s[10])/36 + (3295363*s[11])/352 + (1338767*s[12])/132 + 
       (19340393*s[13])/3168 + (368799*s[14])/352 + (3372655*s[15])/288 + 
       (11553233*s[16])/792 + (36258709*s[17])/3168 + (13051*s[18])/9 + 
       (202831*s[19])/144 + (27031055*s[20])/1584 + (57519031*s[21])/9504 - 
       (42761911*s[22])/9504 - (7768933*s[23])/792 - (11285843*s[24])/1188 + 
       (513096731*s[25])/42768 - (277823339*s[26])/42768 - 6*s[29] - 
       s[30]/2 - 8*s[31] - 18*s[33] + (17*s[34])/2 + (17*s[35])/2 + 
       (77*s[36])/6 - (137*s[37])/4 - (533*s[38])/2 + 1090*s[39] - 
       (7439*s[40])/6 + (3957*s[41])/4 - (9373*s[42])/6 - (35888*s[43])/33 + 
       (581717*s[44])/528 - (116741*s[45])/88 + (2621893*s[46])/264 - 
       (411199*s[47])/1584 - (578575*s[48])/1584 + (7756597*s[49])/1584 - 
       (257984*s[50])/33 - (1643663*s[51])/1584 - (1238645*s[52])/1584 + 
       (2183887*s[53])/396 + (3031*s[54])/66 + (18594757*s[55])/528 + 
       (14156803*s[56])/1584 - (12648923*s[57])/2376 + 
       (206587631*s[58])/14256 - (213988529*s[59])/14256 - 
       (794734549*s[60])/9504 + (559662491*s[61])/128304 - s[64] - s[65] - 
       s[66] + 3*s[67] + 4*s[68] + 5*s[69] - 2*s[70] + s[71] - 5*s[72] - 
       3*s[73] + (7*s[74])/4 - (7*s[75])/4 + 8*s[76] - (7*s[77])/2 - s[78] - 
       138*s[79] + (67*s[80])/2 - 272*s[82] + 6*s[83] - 36*s[84] - 
       64*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - u]*((-61*s[2])/4 + (909*s[3])/8 + 
       (9479*s[4])/16 - (18429*s[5])/88 + (63623*s[6])/176 + 
       (4434491*s[7])/3168 - (238765*s[8])/528 - (9709*s[9])/12 + 
       (2159*s[10])/3 - (2311583*s[11])/1056 - (319625*s[12])/88 - 
       (8641747*s[13])/3168 + (2114185*s[14])/1056 + (43051*s[15])/288 - 
       (880795*s[16])/792 + (5926237*s[17])/3168 - (22787*s[18])/108 + 
       (22505*s[19])/432 + (221405*s[20])/4752 + (7918883*s[21])/9504 + 
       (2014271*s[22])/3168 + (2843737*s[23])/396 + (608317*s[24])/792 - 
       (178116179*s[25])/42768 + (47439815*s[26])/42768 - (3*s[30])/2 - 
       14*s[31] + 35*s[32] - (39*s[33])/2 + (41*s[34])/2 - (75*s[35])/2 + 
       (155*s[36])/6 + (135*s[37])/4 + (691*s[38])/2 - (4157*s[39])/4 + 
       (14537*s[40])/12 - (1785*s[41])/2 + (17113*s[42])/12 + 
       (126913*s[43])/132 - (478765*s[44])/528 + (67501*s[45])/88 - 
       (1679939*s[46])/264 + (574499*s[47])/1584 + (413063*s[48])/1584 - 
       (5731721*s[49])/1584 + (141067*s[50])/33 + (1719319*s[51])/1584 + 
       (1637089*s[52])/1584 - (1087763*s[53])/396 + (41780*s[54])/33 - 
       (9361565*s[55])/528 - (9207839*s[56])/1584 + (26138797*s[57])/2376 - 
       (163032619*s[58])/14256 + (154080409*s[59])/14256 + 
       (475691393*s[60])/9504 - (332372533*s[61])/128304 - s[64] + 3*s[65] + 
       16*s[66] - 15*s[67] + 2*s[68] - 22*s[69] + 12*s[70] - 7*s[71] - 
       13*s[72] + 21*s[73] + (15*s[74])/4 - (15*s[75])/4 - 16*s[76] + 
       (17*s[77])/2 - 33*s[78] + 128*s[79] - (19*s[80])/2 - s[81]/6 - 
       644*s[82] - (3*s[83])/2 + 57*s[84] - 64*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*
      (-9*s[2] - (21*s[3])/8 - (3455*s[4])/16 - (245953*s[5])/1056 - 
       (1794569*s[6])/3168 - (800983*s[7])/176 + (3072241*s[8])/9504 + 
       (3369533*s[9])/864 + (1034479*s[10])/864 + (1772973*s[11])/352 + 
       (17423995*s[12])/3168 + (2631331*s[13])/792 + (626711*s[14])/792 + 
       (5070547*s[15])/864 + (6033497*s[16])/792 + (3091139*s[17])/528 + 
       (2242939*s[18])/2592 + (790321*s[19])/1296 + (130683841*s[20])/14256 + 
       (96641747*s[21])/28512 - (2146616*s[22])/891 - (3759755*s[23])/792 - 
       (71216609*s[24])/14256 + (3241114009*s[25])/513216 - 
       (1814991217*s[26])/513216 + s[29] - (7*s[30])/4 - (5*s[31])/2 - 
       (3*s[32])/2 + (15*s[33])/8 + (11*s[34])/2 - (9*s[35])/4 + 
       (71*s[36])/24 + (715*s[37])/144 - (4775*s[38])/72 + 
       (89677*s[39])/288 - (105793*s[40])/288 + (28783*s[41])/96 - 
       (127781*s[42])/288 - (1123987*s[43])/3168 + (734641*s[44])/2112 - 
       (1312625*s[45])/3168 + (276467*s[46])/88 - (122167*s[47])/6336 - 
       (1691185*s[48])/6336 + (9994141*s[49])/6336 - (1925779*s[50])/792 - 
       (5825843*s[51])/19008 - (1401407*s[52])/6336 + (293539*s[53])/176 - 
       (639*s[54])/11 + (7484177*s[55])/704 + (2027907*s[56])/704 - 
       (781573*s[57])/528 + (85373897*s[58])/19008 - (84730985*s[59])/19008 - 
       (1009442605*s[60])/38016 + (1297051*s[61])/891 + s[65]/2 - s[66] + 
       s[67] - (9*s[68])/4 + (3*s[69])/2 - (3*s[70])/2 - (3*s[71])/2 - 
       s[72] - (7*s[73])/2 - s[74]/2 + s[75]/2 + 4*s[76] - s[77]/2 - 
       (3*s[78])/2 - (51*s[79])/2 + (365*s[80])/24 - 284*s[82] - 
       (3*s[83])/4 - (39*s[84])/2 - 62*s[85]) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-203*s[2])/72 - (241*s[3])/48 + (20249*s[4])/96 + (38801*s[5])/792 + 
       (234671*s[6])/1056 + (10590223*s[7])/6336 - (6785741*s[8])/28512 - 
       (1777937*s[9])/1296 - (116257*s[10])/1296 - (36750419*s[11])/19008 - 
       (2821591*s[12])/1188 - (29231093*s[13])/19008 + 
       (6468217*s[14])/19008 - (3061415*s[15])/1728 - (11550251*s[16])/4752 - 
       (24236405*s[17])/19008 - (777701*s[18])/1944 + (109055*s[19])/7776 - 
       (221236273*s[20])/85536 - (156573977*s[21])/171072 + 
       (149751973*s[22])/171072 + (2386757*s[23])/594 + 
       (27167573*s[24])/21384 - (522634393*s[25])/192456 + 
       (128746823*s[26])/96228 + (17*s[30])/12 + s[31]/3 - (11*s[32])/4 - 
       (323*s[33])/72 - (149*s[34])/36 - (19*s[35])/9 - (337*s[36])/27 + 
       (7499*s[37])/216 + (725*s[38])/6 - (71053*s[39])/144 + 
       (227623*s[40])/432 - (56425*s[41])/144 + (326681*s[42])/432 + 
       (1239581*s[43])/4752 - (1428923*s[44])/4752 + (627019*s[45])/4752 - 
       (754891*s[46])/396 + (5082277*s[47])/14256 - (2602225*s[48])/7128 - 
       (3665713*s[49])/3564 + (1432883*s[50])/1188 + (7796027*s[51])/14256 + 
       (3622219*s[52])/7128 - (1333243*s[53])/1584 + (233045*s[54])/396 - 
       (3689111*s[55])/792 - (6306683*s[56])/3564 + (300284111*s[57])/42768 - 
       (571320829*s[58])/128304 + (547181029*s[59])/128304 + 
       (1020197575*s[60])/85536 - (389307863*s[61])/577368 - s[68]/2 + 
       s[69]/2 - (47*s[70])/6 - (13*s[71])/12 + (13*s[72])/6 + (3*s[73])/2 - 
       (295*s[74])/72 + (295*s[75])/72 - (5*s[76])/6 + (83*s[77])/12 + 
       (3*s[78])/2 + (449*s[79])/9 - (985*s[80])/108 - (1216*s[82])/3 - 
       s[83]/2 + 23*s[84] - (184*s[85])/3) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*Omega2[w, u, v]*(-8*s[2] - (325*s[3])/12 - 
       (3759*s[4])/8 - (13589*s[5])/33 - (85607*s[6])/88 - 
       (13610633*s[7])/1584 + (4789865*s[8])/7128 + (2355269*s[9])/324 + 
       (767443*s[10])/324 + (44594705*s[11])/4752 + (24122033*s[12])/2376 + 
       (28663025*s[13])/4752 + (6635339*s[14])/4752 + (4989565*s[15])/432 + 
       (34745071*s[16])/2376 + (54728699*s[17])/4752 + (1592113*s[18])/972 + 
       (2417299*s[19])/1944 + (372770659*s[20])/21384 + 
       (273960725*s[21])/42768 - (192986677*s[22])/42768 - 
       (11257297*s[23])/1188 - (100804675*s[24])/10692 + 
       (567576595*s[25])/48114 - (637463423*s[26])/96228 - s[30]/3 - 
       2*s[31] + (4*s[32])/3 + (13*s[33])/12 - (2*s[34])/3 - s[35]/3 + 
       (40*s[36])/3 - (331*s[37])/18 - (1555*s[38])/6 + (2193*s[39])/2 - 
       (7493*s[40])/6 + (5881*s[41])/6 - (4763*s[42])/3 - 1003*s[43] + 
       (25691*s[44])/24 - (45349*s[45])/36 + (341215*s[46])/36 - 
       (2587*s[47])/8 - (6089*s[48])/24 + (110341*s[49])/24 - 
       (43927*s[50])/6 - (78625*s[51])/72 - (20449*s[52])/24 + 
       (276019*s[53])/54 - (2761*s[54])/18 + (2349665*s[55])/72 + 
       (1874219*s[56])/216 - (2324863*s[57])/324 + (28117651*s[58])/1944 - 
       (28438087*s[59])/1944 - (33735499*s[60])/432 + (37509485*s[61])/8748 - 
       4*s[72] + (23*s[74])/6 - (23*s[75])/6 + 4*s[76] + (2*s[77])/3 - 
       (8*s[78])/3 - (320*s[79])/3 + (311*s[80])/9 - 297*s[82] - 48*s[84] - 
       60*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Omega2[u, v, w]*
      (-8*s[2] - (373*s[3])/12 - (4085*s[4])/8 - (50741*s[5])/132 - 
       (10843*s[6])/11 - (13742675*s[7])/1584 + (1274639*s[8])/1782 + 
       (4729249*s[9])/648 + (189532*s[10])/81 + (22548385*s[11])/2376 + 
       (49096231*s[12])/4752 + (29237837*s[13])/4752 + (5892893*s[14])/4752 + 
       (5017831*s[15])/432 + (35004577*s[16])/2376 + (27272185*s[17])/2376 + 
       (3165731*s[18])/1944 + (1231505*s[19])/972 + (93077773*s[20])/5346 + 
       (270698261*s[21])/42768 - (194408065*s[22])/42768 - 
       (46950499*s[23])/4752 - (406045627*s[24])/42768 + 
       (4629924197*s[25])/384912 - (2567012111*s[26])/384912 - s[30]/3 - 
       2*s[31] + (4*s[32])/3 + (13*s[33])/12 - (5*s[34])/3 - s[35]/3 + 
       (40*s[36])/3 - (283*s[37])/18 - (519*s[38])/2 + (6679*s[39])/6 - 
       (2531*s[40])/2 + (5983*s[41])/6 - 1617*s[42] - (33395*s[43])/33 + 
       (284005*s[44])/264 - (504071*s[45])/396 + (3801317*s[46])/396 - 
       (44347*s[47])/132 - (10287*s[48])/44 + (609869*s[49])/132 - 
       (325777*s[50])/44 - (48969*s[51])/44 - (76929*s[52])/88 + 
       (3075341*s[53])/594 - (39119*s[54])/198 + (3270404*s[55])/99 + 
       (10487129*s[56])/1188 - (26404859*s[57])/3564 + 
       (39283318*s[58])/2673 - (158792233*s[59])/10692 - 
       (93647003*s[60])/1188 + (209740559*s[61])/48114 - 4*s[72] + 
       (23*s[74])/6 - (23*s[75])/6 + 4*s[76] + (2*s[77])/3 - (8*s[78])/3 - 
       (320*s[79])/3 + (311*s[80])/9 - 285*s[82] - 48*s[84] - 60*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((11*s[2])/2 - 77*s[3] + (547*s[4])/4 + (10005*s[5])/44 + 
       (2216*s[6])/11 + (306929*s[7])/99 - (100399*s[8])/594 - 
       (294745*s[9])/108 - (22949*s[10])/27 - (2664821*s[11])/792 - 
       (349298*s[12])/99 - (1723147*s[13])/792 - (188729*s[14])/792 - 
       (157255*s[15])/36 - (4147585*s[16])/792 - (1118155*s[17])/264 - 
       (152783*s[18])/324 - (192589*s[19])/324 - (21515743*s[20])/3564 - 
       (16634951*s[21])/7128 + (12109513*s[22])/7128 + (2736599*s[23])/792 + 
       (23372407*s[24])/7128 - (272742689*s[25])/64152 + 
       (150262337*s[26])/64152 - 3*s[30] + 8*s[31] - (15*s[32])/2 + 
       (21*s[33])/4 - 22*s[34] + 10*s[35] - (319*s[36])/6 + (51*s[37])/4 + 
       86*s[38] - (2289*s[39])/8 + (6247*s[40])/24 - (1629*s[41])/8 + 
       (8879*s[42])/24 + (75509*s[43])/264 - (149473*s[44])/528 + 
       (25325*s[45])/88 - (150413*s[46])/66 - (30229*s[47])/1584 + 
       (93653*s[48])/1584 - (2419073*s[49])/1584 + (62209*s[50])/33 + 
       (234109*s[51])/1584 + (274399*s[52])/1584 - (1097695*s[53])/792 - 
       (79699*s[54])/132 - (4497667*s[55])/528 - (2159183*s[56])/1584 + 
       (297431*s[57])/1188 - (41493451*s[58])/14256 + 
       (49376443*s[59])/14256 + (184561877*s[60])/9504 - 
       (10787135*s[61])/16038 - (3*s[62])/2 + s[64] - 4*s[66] + 2*s[67] - 
       2*s[68] + 10*s[69] - 28*s[70] + s[71]/2 + 4*s[72] - 3*s[73] - 
       (11*s[74])/2 + (11*s[75])/2 + 36*s[77] + 23*s[78] - 28*s[79] + 
       (57*s[80])/2 + s[81]/6 - 72*s[82] + 9*s[83] - 12*s[84] - 60*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
      (-17*s[2] + s[3]/4 + (583*s[4])/8 - (273*s[5])/88 + (9*s[6])/22 + 
       (459893*s[7])/528 - (17489*s[8])/396 - (49421*s[9])/72 - 
       (31201*s[10])/72 - (478855*s[11])/528 - (226339*s[12])/264 - 
       (253667*s[13])/528 - (8821*s[14])/528 - (24627*s[15])/16 - 
       (439345*s[16])/264 - (271461*s[17])/176 + (12335*s[18])/216 - 
       (110825*s[19])/216 - (4279739*s[20])/2376 - (2496685*s[21])/4752 + 
       (2169047*s[22])/4752 - (64561*s[23])/264 + (3123529*s[24])/2376 - 
       (52129171*s[25])/42768 + (25164307*s[26])/42768 + s[28] - 8*s[29] - 
       14*s[31] - (5*s[32])/2 - (25*s[33])/4 - 2*s[34] + 10*s[35] - 
       (319*s[36])/6 + (51*s[37])/4 + 86*s[38] - (2289*s[39])/8 + 
       (6247*s[40])/24 - (1629*s[41])/8 + (8879*s[42])/24 + 
       (75509*s[43])/264 - (149473*s[44])/528 + (25325*s[45])/88 - 
       (150413*s[46])/66 - (30229*s[47])/1584 + (93653*s[48])/1584 - 
       (2419073*s[49])/1584 + (62209*s[50])/33 + (234109*s[51])/1584 + 
       (274399*s[52])/1584 - (1097695*s[53])/792 - (79699*s[54])/132 - 
       (4497667*s[55])/528 - (2159183*s[56])/1584 + (297431*s[57])/1188 - 
       (41493451*s[58])/14256 + (49376443*s[59])/14256 + 
       (184561877*s[60])/9504 - (10787135*s[61])/16038 - (3*s[62])/2 + 
       s[64] - 4*s[66] + 2*s[67] - 2*s[68] + 10*s[69] - 28*s[70] + s[71]/2 + 
       4*s[72] - 3*s[73] - (11*s[74])/2 + (11*s[75])/2 + 36*s[77] + 
       23*s[78] - 28*s[79] + (57*s[80])/2 + s[81]/6 - 72*s[82] + 9*s[83] - 
       12*s[84] - 60*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - u]*((-13*s[2])/2 - (7*s[3])/8 + (11413*s[4])/16 + 
       (34025*s[5])/176 + (35429*s[6])/44 + (7938155*s[7])/1056 - 
       (1008275*s[8])/1188 - (2681605*s[9])/432 - (650249*s[10])/432 - 
       (26596667*s[11])/3168 - (15246053*s[12])/1584 - 
       (18836267*s[13])/3168 + (845155*s[14])/3168 - (2756737*s[15])/288 - 
       (19366285*s[16])/1584 - (26801087*s[17])/3168 - (1446119*s[18])/1296 - 
       (1534381*s[19])/1296 - (192247831*s[20])/14256 - 
       (122877437*s[21])/28512 + (112242727*s[22])/28512 + 
       (17852081*s[23])/1584 + (113056037*s[24])/14256 - 
       (2938163345*s[25])/256608 + (1425209993*s[26])/256608 + 2*s[30] - 
       2*s[31] + 2*s[32] - (65*s[33])/8 + 5*s[34] - (59*s[35])/2 - 
       (5*s[36])/12 + (147*s[37])/2 + (1367*s[38])/4 - (23493*s[39])/16 + 
       (80459*s[40])/48 - (20667*s[41])/16 + (103957*s[42])/48 + 
       (684745*s[43])/528 - (1443503*s[44])/1056 + (106231*s[45])/88 - 
       (5535589*s[46])/528 + (1592317*s[47])/3168 + (150151*s[48])/3168 - 
       (17904703*s[49])/3168 + (531329*s[50])/66 + (4662299*s[51])/3168 + 
       (3798989*s[52])/3168 - (8817023*s[53])/1584 + (176389*s[54])/264 - 
       (12234175*s[55])/352 - (28388653*s[56])/3168 + (24741055*s[57])/2376 - 
       (466293587*s[58])/28512 + (475700153*s[59])/28512 + 
       (1625334013*s[60])/19008 - (1053801275*s[61])/256608 + 6*s[66] - 
       6*s[67] - 6*s[68] - 6*s[69] + 6*s[70] + (9*s[71])/4 + 2*s[72] - 
       6*s[73] - 5*s[74] + 5*s[75] - 8*s[76] - 9*s[77] - 14*s[78] + 
       212*s[79] - (173*s[80])/2 - 354*s[82] + 3*s[83] + 66*s[84] - 
       60*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - u]*
      ((-101*s[2])/12 - (1783*s[3])/48 - (45281*s[4])/96 - 
       (255127*s[5])/792 - (926065*s[6])/1056 - (25119163*s[7])/3168 + 
       (8791379*s[8])/14256 + (17264123*s[9])/2592 + (5803651*s[10])/2592 + 
       (41405623*s[11])/4752 + (5621161*s[12])/594 + (26959045*s[13])/4752 + 
       (10244285*s[14])/9504 + (9188365*s[15])/864 + (128657723*s[16])/9504 + 
       (6277463*s[17])/594 + (5358083*s[18])/3888 + (2630165*s[19])/1944 + 
       (1357766063*s[20])/85536 + (485897681*s[21])/85536 - 
       (88934077*s[22])/21384 - (79206595*s[23])/9504 - 
       (191386969*s[24])/21384 + (8524466447*s[25])/769824 - 
       (581826703*s[26])/96228 - (5*s[31])/3 + (5*s[32])/4 - s[33]/48 + 
       (17*s[34])/12 + (5*s[35])/3 + (283*s[36])/18 + (41*s[37])/18 - 
       (3019*s[38])/12 + (11767*s[39])/12 - (39779*s[40])/36 + 
       (21407*s[41])/24 - (99623*s[42])/72 - (34007*s[43])/36 + 
       (35141*s[44])/36 - (79789*s[45])/72 + (67511*s[46])/8 - 
       (45863*s[47])/216 - (78287*s[48])/216 + (943601*s[49])/216 - 
       (475615*s[50])/72 - (25637*s[51])/27 - (79373*s[52])/108 + 
       (325799*s[53])/72 + (1177*s[54])/8 + (231189*s[55])/8 + 
       (1595827*s[56])/216 - (1861655*s[57])/324 + (24516383*s[58])/1944 - 
       (24987821*s[59])/1944 - (45778729*s[60])/648 + 
       (129243523*s[61])/34992 + (8*s[68])/3 - (8*s[69])/3 - (5*s[70])/3 + 
       (4*s[71])/3 - (10*s[72])/3 - s[73]/3 + (10*s[74])/3 - (10*s[75])/3 + 
       (10*s[76])/3 + (13*s[77])/3 - (5*s[78])/3 - 74*s[79] + (95*s[80])/9 - 
       227*s[82] - 40*s[84] - 58*s[85]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - v]*((-487*s[2])/48 - (2281*s[3])/144 - 
       (17349*s[4])/32 - (1262281*s[5])/3168 - (1081255*s[6])/1056 - 
       (12801809*s[7])/1408 + (125254669*s[8])/171072 + 
       (119365049*s[9])/15552 + (37572019*s[10])/15552 + 
       (1140286657*s[11])/114048 + (311814593*s[12])/28512 + 
       (750110341*s[13])/114048 + (139756381*s[14])/114048 + 
       (124874495*s[15])/10368 + (875598089*s[16])/57024 + 
       (1347745543*s[17])/114048 + (39051413*s[18])/23328 + 
       (62320253*s[19])/46656 + (4653388855*s[20])/256608 + 
       (6757003405*s[21])/1026432 - (4912688027*s[22])/1026432 - 
       (589241335*s[23])/57024 - (5108966917*s[24])/513216 + 
       (58657547051*s[25])/4618944 - (16158535537*s[26])/2309472 - 
       (23*s[30])/18 - (41*s[31])/12 + (175*s[32])/144 + (167*s[33])/288 + 
       (19*s[34])/9 + (313*s[35])/72 + (1445*s[36])/72 - (23269*s[37])/864 - 
       (44147*s[38])/144 + (20085*s[39])/16 - (204421*s[40])/144 + 
       (321541*s[41])/288 - (520645*s[42])/288 - (602485*s[43])/528 + 
       (7638479*s[44])/6336 - (25152395*s[45])/19008 + 
       (195401489*s[46])/19008 - (792295*s[47])/2112 - (1683401*s[48])/6336 + 
       (32832001*s[49])/6336 - (12519157*s[50])/1584 - 
       (23391439*s[51])/19008 - (6274237*s[52])/6336 + 
       (311845843*s[53])/57024 - (1943807*s[54])/9504 + 
       (662212883*s[55])/19008 + (528612377*s[56])/57024 - 
       (370297607*s[57])/42768 + (4077076097*s[58])/256608 - 
       (8248441459*s[59])/513216 - (1205496119*s[60])/14256 + 
       (41685889529*s[61])/9237888 + s[66]/4 - s[67]/4 + (11*s[68])/12 - 
       (7*s[69])/6 + (7*s[70])/12 + (19*s[71])/48 - (59*s[72])/12 - 
       s[73]/12 + (89*s[74])/18 - (89*s[75])/18 + (31*s[76])/6 + 
       (115*s[77])/72 - (38*s[78])/9 - (4487*s[79])/36 + (14765*s[80])/432 - 
       (686*s[82])/3 + s[83]/4 - (209*s[84])/4 - (169*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      ((169*s[2])/12 + (3281*s[3])/144 + (210949*s[4])/288 + 
       (729253*s[5])/1584 + (3619453*s[6])/3168 + (605433421*s[7])/57024 - 
       (3039803*s[8])/3168 - (3883775*s[9])/432 - (57725*s[10])/24 - 
       (224858911*s[11])/19008 - (7011031*s[12])/528 - 
       (460407335*s[13])/57024 - (12367567*s[14])/19008 - 
       (70382011*s[15])/5184 - (496878535*s[16])/28512 - 
       (714052819*s[17])/57024 - (514244*s[18])/243 - (9473183*s[19])/7776 - 
       (1750953077*s[20])/85536 - (1277718749*s[21])/171072 + 
       (35578835*s[22])/6336 + (422573873*s[23])/28512 + 
       (310004759*s[24])/28512 - (11755607503*s[25])/769824 + 
       (6375589969*s[26])/769824 + (193*s[30])/18 + (86*s[31])/9 - 
       (21*s[32])/8 + (277*s[33])/48 - (917*s[34])/36 - (53*s[35])/12 - 
       (6529*s[36])/216 + (26263*s[37])/432 + (6827*s[38])/18 - 
       (134641*s[39])/96 + (1309213*s[40])/864 - (331655*s[41])/288 + 
       (1750937*s[42])/864 + (10266935*s[43])/9504 - (21759889*s[44])/19008 + 
       (9017645*s[45])/9504 - (20051311*s[46])/2376 + 
       (37591691*s[47])/57024 - (14853031*s[48])/57024 - 
       (269468489*s[49])/57024 + (7426993*s[50])/1188 + 
       (78935569*s[51])/57024 + (67854811*s[52])/57024 - 
       (121124363*s[53])/28512 + (1882813*s[54])/4752 - 
       (167542613*s[55])/6336 - (137181877*s[56])/19008 + 
       (32622631*s[57])/2376 - (2545429621*s[58])/171072 + 
       (2563622821*s[59])/171072 + (22636789337*s[60])/342144 - 
       (1284070409*s[61])/384912 + (3*s[62])/8 + s[64]/4 - (8*s[66])/3 + 
       (13*s[67])/6 - (19*s[68])/6 + 7*s[69] + s[70]/6 - (47*s[71])/24 + 
       (13*s[72])/2 + (41*s[73])/36 - (19*s[74])/4 + (23*s[75])/4 - 
       (23*s[76])/6 - (191*s[77])/36 + (353*s[78])/36 + (290*s[79])/3 - 
       (227*s[80])/216 - s[81]/24 - 430*s[82] - (83*s[83])/12 + 13*s[84] - 
       (169*s[85])/3) + HPL[{0, 1}, 1 - w]*Ot[u, v, w]*
      ((-22*s[2])/3 - (271*s[3])/12 - (21547*s[4])/24 - (79795*s[5])/132 - 
       (51226*s[6])/33 - (67471331*s[7])/4752 + (467881*s[8])/396 + 
       (287731*s[9])/24 + (33103*s[10])/9 + (12378241*s[11])/792 + 
       (9061417*s[12])/528 + (49137901*s[13])/4752 + (2588585*s[14])/1584 + 
       (8106269*s[15])/432 + (14179067*s[16])/594 + (43261567*s[17])/2376 + 
       (207898*s[18])/81 + (1364425*s[19])/648 + (199980475*s[20])/7128 + 
       (143648245*s[21])/14256 - (35538463*s[22])/4752 - 
       (79581281*s[23])/4752 - (24472171*s[24])/1584 + 
       (2565817183*s[25])/128304 - (1395238969*s[26])/128304 - (8*s[30])/3 - 
       (8*s[31])/3 + (5*s[32])/3 + (3*s[33])/4 + (13*s[34])/3 + 12*s[35] + 
       (307*s[36])/9 - (991*s[37])/18 - (1502*s[38])/3 + (8073*s[39])/4 - 
       (81709*s[40])/36 + (21347*s[41])/12 - (105029*s[42])/36 - 
       (703655*s[43])/396 + (2985095*s[44])/1584 - (396619*s[45])/198 + 
       (6270265*s[46])/396 - (3207859*s[47])/4752 - (1153279*s[48])/4752 + 
       (38181601*s[49])/4752 - (4820489*s[50])/396 - (9592739*s[51])/4752 - 
       (7706675*s[52])/4752 + (2495525*s[53])/297 - (139559*s[54])/396 + 
       (28142239*s[55])/528 + (22415209*s[56])/1584 - (34961611*s[57])/2376 + 
       (117950467*s[58])/4752 - (119228765*s[59])/4752 - 
       (3696152419*s[60])/28512 + (876301457*s[61])/128304 + s[71] - 
       8*s[72] + (8*s[73])/3 + 9*s[74] - 9*s[75] + 8*s[76] + (4*s[77])/3 - 
       (16*s[78])/3 - 214*s[79] + (479*s[80])/9 - 176*s[82] - s[83]/2 - 
       87*s[84] - 56*s[85]) + HPL[{0, 1}, 1 - v]*Ot[u, v, w]*
      (-14*s[2] - (79*s[3])/12 - (20699*s[4])/24 - (83183*s[5])/132 - 
       (51523*s[6])/33 - (4247345*s[7])/297 + (923519*s[8])/792 + 
       12113*s[9] + (269681*s[10])/72 + (24891353*s[11])/1584 + 
       (9086827*s[12])/528 + (24554843*s[13])/2376 + (358351*s[14])/198 + 
       (2042987*s[15])/108 + (14274899*s[16])/594 + (87418985*s[17])/4752 + 
       (858943*s[18])/324 + (330097*s[19])/162 + (202841773*s[20])/7128 + 
       (73537961*s[21])/7128 - (4482275*s[22])/594 - (79168055*s[23])/4752 - 
       (24567211*s[24])/1584 + (2564667991*s[25])/128304 - 
       (1409758903*s[26])/128304 - (4*s[30])/3 - (16*s[31])/3 + 3*s[32] - 
       s[33]/4 + (25*s[34])/3 + 12*s[35] + (307*s[36])/9 - (991*s[37])/18 - 
       (1502*s[38])/3 + (8073*s[39])/4 - (81709*s[40])/36 + 
       (21347*s[41])/12 - (105029*s[42])/36 - (703655*s[43])/396 + 
       (2985095*s[44])/1584 - (396619*s[45])/198 + (6270265*s[46])/396 - 
       (3207859*s[47])/4752 - (1153279*s[48])/4752 + (38181601*s[49])/4752 - 
       (4820489*s[50])/396 - (9592739*s[51])/4752 - (7706675*s[52])/4752 + 
       (2495525*s[53])/297 - (139559*s[54])/396 + (28142239*s[55])/528 + 
       (22415209*s[56])/1584 - (34961611*s[57])/2376 + 
       (117950467*s[58])/4752 - (119228765*s[59])/4752 - 
       (3696152419*s[60])/28512 + (876301457*s[61])/128304 + s[71] - 
       8*s[72] + (8*s[73])/3 + 9*s[74] - 9*s[75] + 8*s[76] + (4*s[77])/3 - 
       (16*s[78])/3 - 214*s[79] + (479*s[80])/9 - 176*s[82] - s[83]/2 - 
       87*s[84] - 56*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*((-71*s[2])/6 + (911*s[3])/12 - 
       (11089*s[4])/24 - (54721*s[5])/132 - (217733*s[6])/264 - 
       (42793361*s[7])/4752 + (510223*s[8])/792 + (69245*s[9])/9 + 
       (23990*s[10])/9 + (15569993*s[11])/1584 + (1390475*s[12])/132 + 
       (30344989*s[13])/4752 + (2018273*s[14])/1584 + (5339015*s[15])/432 + 
       (9138521*s[16])/594 + (58338557*s[17])/4752 + (208643*s[18])/162 + 
       (1194433*s[19])/648 + (129025537*s[20])/7128 + 
       (91596379*s[21])/14256 - (22794305*s[22])/4752 - 
       (9513857*s[23])/1188 - (6354461*s[24])/594 + (800119451*s[25])/64152 - 
       (432302843*s[26])/64152 + (34*s[30])/3 - (8*s[31])/3 - s[32]/3 + 
       3*s[33] + s[34]/3 + 2*s[35] + (701*s[36])/18 + (4*s[37])/9 - 
       (944*s[38])/3 + (9089*s[39])/8 - (95213*s[40])/72 + (25543*s[41])/24 - 
       (113653*s[42])/72 - (978319*s[43])/792 + (1954943*s[44])/1584 - 
       (148022*s[45])/99 + (8555225*s[46])/792 - (447823*s[47])/4752 - 
       (2669053*s[48])/4752 + (27147181*s[49])/4752 - (1736521*s[50])/198 - 
       (4853813*s[51])/4752 - (3616649*s[52])/4752 + (14489443*s[53])/2376 + 
       (52468*s[54])/99 + (20795813*s[55])/528 + (14480093*s[56])/1584 - 
       (27255*s[57])/11 + (210065699*s[58])/14256 - (224317661*s[59])/14256 - 
       (2690373379*s[60])/28512 + (582468637*s[61])/128304 - 4*s[62] + 
       2*s[66] - 2*s[67] + 13*s[68] - 11*s[69] - 2*s[70] - 2*s[72] + 
       (14*s[73])/3 + (3*s[74])/2 - (3*s[75])/2 - 13*s[76] + (34*s[77])/3 + 
       (11*s[78])/3 - 144*s[79] + (380*s[80])/9 - 284*s[82] - 2*s[83] - 
       36*s[84] - 56*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*(-2*s[2] + 30*s[3] - (573*s[4])/4 - 
       (3623*s[5])/44 - (1932*s[6])/11 - (223532*s[7])/99 + 
       (133105*s[8])/594 + (52075*s[9])/27 + (65759*s[10])/108 + 
       (475331*s[11])/198 + (1039793*s[12])/396 + (578423*s[13])/396 + 
       (43949*s[14])/198 + (28645*s[15])/9 + (376565*s[16])/99 + 
       (96244*s[17])/33 + (35246*s[18])/81 + (22801*s[19])/81 + 
       (8217941*s[20])/1782 + (5832751*s[21])/3564 - (2150353*s[22])/1782 - 
       (548399*s[23])/198 - (4217461*s[24])/1782 + (98549425*s[25])/32076 - 
       (54743203*s[26])/32076 - s[30] - 2*s[31] - 2*s[32] - (45*s[33])/4 + 
       5*s[34] - 9*s[35] + (28*s[36])/3 - (116*s[37])/3 - 56*s[38] + 
       (1025*s[39])/4 - (3283*s[40])/12 + (821*s[41])/4 - (4721*s[42])/12 - 
       (26321*s[43])/132 + (50323*s[44])/264 - (14593*s[45])/66 + 
       (245053*s[46])/132 - (122723*s[47])/792 + (85639*s[48])/792 + 
       (645413*s[49])/792 - (46397*s[50])/33 - (198721*s[51])/792 - 
       (172441*s[52])/792 + (393347*s[53])/396 - (6185*s[54])/33 + 
       (548857*s[55])/88 + (477629*s[56])/264 - (221963*s[57])/99 + 
       (2407385*s[58])/792 - (2414455*s[59])/792 - (69572039*s[60])/4752 + 
       (17172655*s[61])/21384 - s[67] - 2*s[68] + 4*s[69] - 4*s[72] - 
       4*s[73] + s[74] - 2*s[75] + 12*s[76] - 4*s[77] - 6*s[78] - 40*s[79] + 
       (11*s[80])/3 - 112*s[82] - 9*s[83] - 18*s[84] - 56*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      (-15*s[2] + 42*s[3] - 50*s[4] - (2703*s[5])/44 - (5435*s[6])/44 - 
       (856003*s[7])/792 + (93421*s[8])/1188 + (27089*s[9])/27 + 
       (15205*s[10])/108 + (978673*s[11])/792 + (280595*s[12])/198 + 
       (259573*s[13])/264 + (17467*s[14])/792 + (9401*s[15])/8 + 
       (217897*s[16])/132 + (878183*s[17])/792 + (13882*s[18])/81 + 
       (18761*s[19])/324 + (6583799*s[20])/3564 + (4757251*s[21])/7128 - 
       (4336025*s[22])/7128 - (106223*s[23])/66 - (1808885*s[24])/1782 + 
       (13112306*s[25])/8019 - (6482420*s[26])/8019 + 3*s[30] - 10*s[31] - 
       s[32] - (41*s[33])/4 + 19*s[34] - 9*s[35] + (28*s[36])/3 - 
       (116*s[37])/3 - 56*s[38] + (1025*s[39])/4 - (3283*s[40])/12 + 
       (821*s[41])/4 - (4721*s[42])/12 - (26321*s[43])/132 + 
       (50323*s[44])/264 - (14593*s[45])/66 + (245053*s[46])/132 - 
       (122723*s[47])/792 + (85639*s[48])/792 + (645413*s[49])/792 - 
       (46397*s[50])/33 - (198721*s[51])/792 - (172441*s[52])/792 + 
       (393347*s[53])/396 - (6185*s[54])/33 + (548857*s[55])/88 + 
       (477629*s[56])/264 - (221963*s[57])/99 + (2407385*s[58])/792 - 
       (2414455*s[59])/792 - (69572039*s[60])/4752 + (17172655*s[61])/21384 - 
       s[67] - 2*s[68] + 4*s[69] - 4*s[72] - 4*s[73] + s[74] - 2*s[75] + 
       12*s[76] - 4*s[77] - 6*s[78] - 40*s[79] + (11*s[80])/3 - 112*s[82] - 
       9*s[83] - 18*s[84] - 56*s[85]) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((-37*s[2])/6 - (115*s[3])/18 - (2103*s[4])/8 - 
       (206057*s[5])/792 - (25415*s[6])/44 - (12453659*s[7])/2376 + 
       (15770153*s[8])/42768 + (8680217*s[9])/1944 + (2910559*s[10])/1944 + 
       (163445987*s[11])/28512 + (21962603*s[12])/3564 + 
       (52192429*s[13])/14256 + (1630769*s[14])/1782 + (9175289*s[15])/1296 + 
       (31875607*s[16])/3564 + (201872201*s[17])/28512 + 
       (23207533*s[18])/23328 + (18265271*s[19])/23328 + 
       (344528791*s[20])/32076 + (257403095*s[21])/64152 - 
       (709796773*s[22])/256608 - (155004823*s[23])/28512 - 
       (749677013*s[24])/128304 + (8236342687*s[25])/1154736 - 
       (9403043651*s[26])/2309472 + (41*s[30])/18 - (5*s[31])/3 + 
       (19*s[32])/72 - (157*s[33])/144 + (47*s[34])/36 + (10*s[35])/9 + 
       (587*s[36])/72 + (2299*s[37])/216 - (11951*s[38])/72 + 
       (64807*s[39])/96 - (222017*s[40])/288 + (180851*s[41])/288 - 
       (275047*s[42])/288 - (2176463*s[43])/3168 + (2231335*s[44])/3168 - 
       (487943*s[45])/594 + (58456943*s[46])/9504 - (1012135*s[47])/9504 - 
       (787411*s[48])/2376 + (30102697*s[49])/9504 - (425229*s[50])/88 - 
       (1009043*s[51])/1584 - (1146197*s[52])/2376 + (95304427*s[53])/28512 + 
       (334661*s[54])/2376 + (50985461*s[55])/2376 + (156407765*s[56])/
        28512 - (298856387*s[57])/85536 + (578526085*s[58])/64152 - 
       (595508653*s[59])/64152 - (2958642617*s[60])/57024 + 
       (3165162881*s[61])/1154736 - s[66] + s[67] + (8*s[68])/3 - 
       (5*s[69])/3 - (5*s[70])/6 + (13*s[71])/24 - (7*s[72])/3 - s[73] + 
       (31*s[74])/18 - (31*s[75])/18 + s[76]/6 + (59*s[77])/18 + 
       (13*s[78])/18 - (977*s[79])/18 + (1189*s[80])/108 - (1319*s[82])/6 - 
       28*s[84] - (164*s[85])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - u]*((-43*s[2])/24 - (33*s[3])/2 + (437*s[4])/8 + 
       (95*s[5])/24 - (137*s[6])/4 + (2093*s[7])/24 - (2573*s[8])/54 - 
       (11077*s[9])/108 + (32441*s[10])/216 - (24767*s[11])/144 - 
       (23735*s[12])/72 - (17875*s[13])/72 + (52807*s[14])/144 + 
       (1963*s[15])/18 + (10843*s[16])/144 + (60553*s[17])/144 - 
       (30203*s[18])/1296 + (19877*s[19])/324 + (257449*s[20])/1296 + 
       (76829*s[21])/648 + (91555*s[22])/1296 + (20897*s[23])/18 - 
       (187853*s[24])/1296 - (4296503*s[25])/11664 + (206573*s[26])/2916 + 
       s[29]/2 + s[30] + s[31] - (9*s[32])/8 - (35*s[33])/12 - (10*s[34])/3 - 
       (43*s[35])/6 - (85*s[36])/18 + (335*s[37])/12 + (169*s[38])/3 - 
       (4871*s[39])/24 + (14557*s[40])/72 - (3199*s[41])/24 + 
       (22409*s[42])/72 + (36815*s[43])/792 - (148663*s[44])/1584 - 
       (88085*s[45])/792 + (13111*s[46])/132 + (944753*s[47])/4752 - 
       (1440223*s[48])/4752 - (988085*s[49])/4752 - (65903*s[50])/396 + 
       (1085101*s[51])/4752 + (964309*s[52])/4752 + (137563*s[53])/792 + 
       (20033*s[54])/132 + (2650843*s[55])/1584 + (1924709*s[56])/4752 + 
       (25822109*s[57])/7128 - (34187897*s[58])/42768 + 
       (31009475*s[59])/42768 - (73168471*s[60])/28512 + 
       (117751069*s[61])/384912 - 4*s[70] + s[72] + s[73] - (25*s[74])/12 + 
       (25*s[75])/12 + s[76] + 4*s[77] + s[78] + (85*s[79])/3 - 
       (97*s[80])/18 - 255*s[82] - (3*s[83])/4 + (3*s[84])/2 - 54*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((-5*s[2])/2 - (169*s[3])/8 + (6841*s[4])/16 + (43257*s[5])/176 + 
       (274159*s[6])/528 + (5928215*s[7])/1056 - (295825*s[8])/528 - 
       (115543*s[9])/24 - (57869*s[10])/48 - (207623*s[11])/33 - 
       (2517641*s[12])/352 - (1501405*s[13])/352 - (31461*s[14])/352 - 
       (2046241*s[15])/288 - (4843769*s[16])/528 - (1113245*s[17])/176 - 
       (13663*s[18])/12 - (13859*s[19])/24 - (708047*s[20])/66 - 
       (12144623*s[21])/3168 + (9580625*s[22])/3168 + (3030735*s[23])/352 + 
       (17725891*s[24])/3168 - (116750917*s[25])/14256 + 
       (30769367*s[26])/7128 + 7*s[30] + 2*s[31] + s[32]/4 + s[33] - 
       (25*s[34])/2 - 39*s[35] - (55*s[36])/3 + (811*s[37])/12 + 
       (1535*s[38])/6 - (13457*s[39])/12 + (4847*s[40])/4 - 931*s[41] + 
       1677*s[42] + (94339*s[43])/132 - (28478*s[44])/33 + 
       (135995*s[45])/264 - (1551631*s[46])/264 + (956869*s[47])/1584 - 
       (676367*s[48])/1584 - (5374603*s[49])/1584 + (1168289*s[50])/264 + 
       (1881829*s[51])/1584 + (374747*s[52])/396 - (2299259*s[53])/792 + 
       (12013*s[54])/33 - (3037537*s[55])/176 - (7716397*s[56])/1584 + 
       (7320653*s[57])/594 - (156321089*s[58])/14256 + 
       (153335033*s[59])/14256 + (426363955*s[60])/9504 - 
       (276447203*s[61])/128304 - s[62]/2 + s[70]/2 + (5*s[71])/2 + 4*s[72] - 
       (13*s[74])/2 + (13*s[75])/2 - 4*s[76] - (5*s[77])/2 + 4*s[78] + 
       122*s[79] - (87*s[80])/2 - 168*s[82] - 3*s[83] + 18*s[84] - 
       54*s[85]) + HPL[{1}, 1 - w]^2*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((-5*s[2])/2 - (203*s[3])/8 + (8135*s[4])/16 + (1191*s[5])/16 + 
       (7597*s[6])/16 + (1341199*s[7])/288 - (270551*s[8])/432 - 
       (825643*s[9])/216 - (316303*s[10])/432 - (97121*s[11])/18 - 
       (1860223*s[12])/288 - (1172179*s[13])/288 + (225313*s[14])/288 - 
       (1537625*s[15])/288 - (1060211*s[16])/144 - (70191*s[17])/16 - 
       (469793*s[18])/648 - (398929*s[19])/648 - (5013395*s[20])/648 - 
       (6208589*s[21])/2592 + (6416947*s[22])/2592 + (2406737*s[23])/288 + 
       (11920165*s[24])/2592 - (87890263*s[25])/11664 + 
       (5053439*s[26])/1458 + (3*s[30])/2 + 2*s[31] - (59*s[33])/8 - 
       9*s[34] - 39*s[35] - (55*s[36])/3 + (811*s[37])/12 + (1535*s[38])/6 - 
       (13457*s[39])/12 + (4847*s[40])/4 - 931*s[41] + 1677*s[42] + 
       (94339*s[43])/132 - (28478*s[44])/33 + (135995*s[45])/264 - 
       (1551631*s[46])/264 + (956869*s[47])/1584 - (676367*s[48])/1584 - 
       (5374603*s[49])/1584 + (1168289*s[50])/264 + (1881829*s[51])/1584 + 
       (374747*s[52])/396 - (2299259*s[53])/792 + (12013*s[54])/33 - 
       (3037537*s[55])/176 - (7716397*s[56])/1584 + (7320653*s[57])/594 - 
       (156321089*s[58])/14256 + (153335033*s[59])/14256 + 
       (426363955*s[60])/9504 - (276447203*s[61])/128304 - s[62]/2 + 
       s[70]/2 + (5*s[71])/2 + 4*s[72] - (13*s[74])/2 + (13*s[75])/2 - 
       4*s[76] - (5*s[77])/2 + 4*s[78] + 122*s[79] - (87*s[80])/2 - 
       168*s[82] - 3*s[83] + 18*s[84] - 54*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((-5*s[2])/2 - (47*s[3])/8 + (5345*s[4])/16 + (86293*s[5])/528 + 
       (82955*s[6])/264 + (12698923*s[7])/3168 - (525883*s[8])/1188 - 
       (1464893*s[9])/432 - (354853*s[10])/432 - (14279581*s[11])/3168 - 
       (8226259*s[12])/1584 - (3214799*s[13])/1056 + (476189*s[14])/3168 - 
       (1486451*s[15])/288 - (3486991*s[16])/528 - (14228645*s[17])/3168 - 
       (942853*s[18])/1296 - (695915*s[19])/1296 - (107708225*s[20])/14256 - 
       (73080883*s[21])/28512 + (61266149*s[22])/28512 + 
       (1129501*s[23])/176 + (58826557*s[24])/14256 - 
       (1540102723*s[25])/256608 + (776117779*s[26])/256608 + (13*s[30])/2 + 
       2*s[31] - s[32] + (5*s[33])/8 - (13*s[34])/2 - (29*s[35])/2 - 
       (69*s[36])/4 + (307*s[37])/6 + (301*s[38])/2 - (6111*s[39])/8 + 
       (6607*s[40])/8 - (4861*s[41])/8 + (9373*s[42])/8 + 
       (115571*s[43])/264 - (155779*s[44])/264 + (36035*s[45])/132 - 
       (320205*s[46])/88 + (371365*s[47])/792 - (174331*s[48])/396 - 
       (850643*s[49])/396 + (177977*s[50])/66 + (622345*s[51])/792 + 
       (248491*s[52])/396 - (1433987*s[53])/792 + (49067*s[54])/132 - 
       (1372541*s[55])/132 - (385807*s[56])/132 + (6967339*s[57])/792 - 
       (16806799*s[58])/2376 + (16630879*s[59])/2376 + 
       (63668213*s[60])/2376 - (9182137*s[61])/7128 - (5*s[70])/2 + 
       (11*s[71])/2 + 4*s[72] - 5*s[74] + 5*s[75] - 4*s[76] + s[77]/2 + 
       4*s[78] + 76*s[79] - (99*s[80])/2 - 115*s[82] - 3*s[83] + 18*s[84] - 
       54*s[85]) + HPL[{1}, 1 - u]^2*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((-5*s[2])/2 - (77*s[3])/8 + (4457*s[4])/16 + (29599*s[5])/528 + 
       (16721*s[6])/66 + (2402171*s[7])/1056 - (223105*s[8])/594 - 
       (787687*s[9])/432 - (86753*s[10])/432 - (8494439*s[11])/3168 - 
       (5253047*s[12])/1584 - (6594647*s[13])/3168 + (1971199*s[14])/3168 - 
       (229675*s[15])/96 - (5473969*s[16])/1584 - (5805791*s[17])/3168 - 
       (571133*s[18])/1296 - (220405*s[19])/1296 - (49422283*s[20])/14256 - 
       (30915485*s[21])/28512 + (34019215*s[22])/28512 + 
       (8480969*s[23])/1584 + (27616565*s[24])/14256 - 
       (981947873*s[25])/256608 + (441597593*s[26])/256608 + s[30] + 
       2*s[31] - s[32]/4 - 13*s[33] - s[34]/2 - (29*s[35])/2 - (69*s[36])/4 + 
       (307*s[37])/6 + (301*s[38])/2 - (6111*s[39])/8 + (6607*s[40])/8 - 
       (4861*s[41])/8 + (9373*s[42])/8 + (115571*s[43])/264 - 
       (155779*s[44])/264 + (36035*s[45])/132 - (320205*s[46])/88 + 
       (371365*s[47])/792 - (174331*s[48])/396 - (850643*s[49])/396 + 
       (177977*s[50])/66 + (622345*s[51])/792 + (248491*s[52])/396 - 
       (1433987*s[53])/792 + (49067*s[54])/132 - (1372541*s[55])/132 - 
       (385807*s[56])/132 + (6967339*s[57])/792 - (16806799*s[58])/2376 + 
       (16630879*s[59])/2376 + (63668213*s[60])/2376 - (9182137*s[61])/7128 - 
       (5*s[70])/2 + (11*s[71])/2 + 4*s[72] - 5*s[74] + 5*s[75] - 4*s[76] + 
       s[77]/2 + 4*s[78] + 76*s[79] - (99*s[80])/2 - 115*s[82] - 3*s[83] + 
       18*s[84] - 54*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1}, 1 - v]*((-163*s[2])/36 - (307*s[3])/12 + 
       (1181*s[4])/36 - (863*s[5])/8 - (51043*s[6])/288 - 
       (1628441*s[7])/1296 + (53047*s[8])/7776 + (8440507*s[9])/7776 + 
       (562717*s[10])/972 + (6511867*s[11])/5184 + (5805161*s[12])/5184 + 
       (1528099*s[13])/2592 + (1077541*s[14])/1296 + (2652485*s[15])/1296 + 
       (1554259*s[16])/648 + (4268947*s[17])/1728 + (5677337*s[18])/23328 + 
       (6452491*s[19])/23328 + (74589263*s[20])/23328 + 
       (29907005*s[21])/23328 - (14870923*s[22])/23328 + 
       (863009*s[23])/5184 - (79665731*s[24])/46656 + 
       (555782875*s[25])/419904 - (413466613*s[26])/419904 + s[30]/18 - 
       (5*s[32])/12 - (71*s[33])/36 - (67*s[34])/9 - (19*s[35])/3 - 
       (299*s[36])/54 + (103*s[37])/9 + (53*s[38])/6 - (1979*s[39])/36 + 
       (3469*s[40])/108 - (845*s[41])/36 + (12185*s[42])/108 - 
       (2855*s[43])/27 + (26831*s[44])/432 - (2531*s[45])/9 + 
       (34187*s[46])/27 + (402847*s[47])/2592 - (876131*s[48])/2592 + 
       (1204793*s[49])/2592 - (459551*s[50])/432 + (282329*s[51])/2592 + 
       (121915*s[52])/1296 + (530051*s[53])/648 + (17291*s[54])/108 + 
       (1665313*s[55])/288 + (3352979*s[56])/2592 + (2974595*s[57])/972 + 
       (19781977*s[58])/23328 - (24589399*s[59])/23328 - 
       (197303555*s[60])/15552 + (78110669*s[61])/104976 - (5*s[70])/3 + 
       s[72]/9 - s[73]/9 - (35*s[74])/18 + (35*s[75])/18 - s[76]/18 + 
       (29*s[77])/18 + s[78]/9 + (76*s[79])/9 + (16*s[80])/9 - 
       (1107*s[82])/4 + (2*s[84])/3 - (160*s[85])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      (16*s[2] + (229*s[3])/18 + (91769*s[4])/144 + (56242*s[5])/99 + 
       (934427*s[6])/792 + (618268411*s[7])/57024 - (8514491*s[8])/9504 - 
       (7961585*s[9])/864 - (2239595*s[10])/864 - (227805871*s[11])/19008 - 
       (21025777*s[12])/1584 - (451332293*s[13])/57024 - 
       (23723287*s[14])/19008 - (73227049*s[15])/5184 - 
       (64219301*s[16])/3564 - (766897975*s[17])/57024 - 
       (8807561*s[18])/3888 - (9291611*s[19])/7776 - (919172359*s[20])/
        42768 - (1378447655*s[21])/171072 + (326636983*s[22])/57024 + 
       (100944593*s[23])/7128 + (39901175*s[24])/3564 - 
       (5849354069*s[25])/384912 + (6561505465*s[26])/769824 + 
       (95*s[30])/36 + (229*s[31])/18 - (149*s[32])/24 + (367*s[33])/48 - 
       (1007*s[34])/36 - (23*s[35])/3 - (1031*s[36])/27 + (44365*s[37])/432 + 
       (4245*s[38])/8 - (76429*s[39])/36 + (249617*s[40])/108 - 
       (250075*s[41])/144 + (1329475*s[42])/432 + (1999285*s[43])/1188 - 
       (17369327*s[44])/9504 + (16105175*s[45])/9504 - 
       (136556449*s[46])/9504 + (25879111*s[47])/28512 - 
       (4662521*s[48])/28512 - (218021203*s[49])/28512 + 
       (25419083*s[50])/2376 + (59421767*s[51])/28512 + 
       (49944611*s[52])/28512 - (211053353*s[53])/28512 + 
       (3569683*s[54])/4752 - (146510041*s[55])/3168 - 
       (120365165*s[56])/9504 + (11013281*s[57])/594 - 
       (511159907*s[58])/21384 + (2048211353*s[59])/85536 + 
       (9764859119*s[60])/85536 - (9211934681*s[61])/1539648 + s[64]/2 - 
       s[65]/4 - (7*s[66])/6 + s[67]/6 + (17*s[68])/6 + (3*s[69])/2 - 
       (59*s[70])/6 + (7*s[71])/24 + 13*s[72] - (46*s[73])/9 - (45*s[74])/4 + 
       (49*s[75])/4 - (52*s[76])/3 + (58*s[77])/9 + (361*s[78])/18 + 
       (895*s[79])/6 - (7121*s[80])/216 - 61*s[82] + (35*s[83])/6 + 
       (83*s[84])/2 - (157*s[85])/3) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]^2*((-3*s[2])/4 - (227*s[3])/24 - (395*s[4])/2 - 
       (163279*s[5])/1056 - (105473*s[6])/264 - (7397219*s[7])/2112 + 
       (7474559*s[8])/28512 + (958601*s[9])/324 + (2564651*s[10])/2592 + 
       (18145241*s[11])/4752 + (78358081*s[12])/19008 + 
       (46566077*s[13])/19008 + (11111069*s[14])/19008 + 
       (8155555*s[15])/1728 + (56945065*s[16])/9504 + (45121375*s[17])/9504 + 
       (4920023*s[18])/7776 + (4299079*s[19])/7776 + (607962373*s[20])/
        85536 + (436334957*s[21])/171072 - (314678527*s[22])/171072 - 
       (68630779*s[23])/19008 - (673928797*s[24])/171072 + 
       (3718189711*s[25])/769824 - (1027186439*s[26])/384912 - (7*s[30])/12 + 
       s[31]/2 + (61*s[32])/48 + (49*s[33])/48 - (47*s[34])/12 - 
       (11*s[35])/6 + 9*s[36] - (149*s[37])/36 - (2787*s[38])/16 + 
       (73273*s[39])/96 - (84661*s[40])/96 + (33935*s[41])/48 - 
       (13291*s[42])/12 - (259085*s[43])/352 + (550365*s[44])/704 - 
       (2796217*s[45])/3168 + (5356057*s[46])/792 - (1121957*s[47])/6336 - 
       (1782551*s[48])/6336 + (21474863*s[49])/6336 - (5571215*s[50])/1056 - 
       (4855129*s[51])/6336 - (3689077*s[52])/6336 + (8715365*s[53])/2376 - 
       (193613*s[54])/3168 + (147572915*s[55])/6336 + 
       (114764759*s[56])/19008 - (120071797*s[57])/28512 + 
       (1704316573*s[58])/171072 - (1731619135*s[59])/171072 - 
       (79299945*s[60])/1408 + (2311190369*s[61])/769824 + s[64]/8 + 
       s[65]/16 + s[66]/4 - s[67]/2 + (3*s[68])/2 - (5*s[69])/2 + 
       (19*s[70])/8 + (3*s[71])/16 - 4*s[72] + (77*s[74])/24 - 
       (37*s[75])/12 - (3*s[76])/8 - (11*s[77])/24 - s[78]/6 - 
       (995*s[79])/12 + (1067*s[80])/36 - (969*s[82])/4 + (9*s[83])/16 - 
       (315*s[84])/8 - 52*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]^2*((-61*s[2])/8 - (803*s[3])/24 - (8117*s[4])/16 - 
       (98485*s[5])/264 - (352917*s[6])/352 - (9261127*s[7])/1056 + 
       (19752797*s[8])/28512 + (19073791*s[9])/2592 + (799363*s[10])/324 + 
       (182198855*s[11])/19008 + (197308051*s[12])/19008 + 
       (14726563*s[13])/2376 + (12900145*s[14])/9504 + (10163009*s[15])/864 + 
       (35503681*s[16])/2376 + (223638281*s[17])/19008 + 
       (12400811*s[18])/7776 + (10818511*s[19])/7776 + 
       (755125493*s[20])/42768 + (17013434*s[21])/2673 - 
       (196279207*s[22])/42768 - (176331217*s[23])/19008 - 
       (1673054629*s[24])/171072 + (18668205683*s[25])/1539648 - 
       (10306389833*s[26])/1539648 - s[28]/16 + s[29]/2 + (5*s[30])/12 - 
       (7*s[31])/8 + (19*s[32])/12 + (77*s[33])/24 - (121*s[34])/24 - 
       (11*s[35])/6 + 9*s[36] - (101*s[37])/36 - (8369*s[38])/48 + 
       (24691*s[39])/32 - (28487*s[40])/32 + (34343*s[41])/48 - 
       (4489*s[42])/4 - (781991*s[43])/1056 + (552237*s[44])/704 - 
       (2817145*s[45])/3168 + (5404009*s[46])/792 - (1161833*s[47])/6336 - 
       (1719467*s[48])/6336 + (21546707*s[49])/6336 - (5614963*s[50])/1056 - 
       (4921397*s[51])/6336 - (3759253*s[52])/6336 + (8793629*s[53])/2376 - 
       (263597*s[54])/3168 + (148840583*s[55])/6336 + 
       (116196155*s[56])/19008 - (123397261*s[57])/28512 + 
       (1724206105*s[58])/171072 - (1750681171*s[59])/171072 - 
       (718362869*s[60])/12672 + (2338697501*s[61])/769824 + s[64]/8 + 
       s[65]/16 + s[66]/4 - s[67]/2 + (3*s[68])/2 - (5*s[69])/2 + 
       (19*s[70])/8 + (3*s[71])/16 - 4*s[72] + (77*s[74])/24 - 
       (37*s[75])/12 - (3*s[76])/8 - (11*s[77])/24 - s[78]/6 - 
       (995*s[79])/12 + (1067*s[80])/36 - (945*s[82])/4 + (9*s[83])/16 - 
       (315*s[84])/8 - 52*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v]*((-29*s[2])/12 + (197*s[3])/8 + 
       (2753*s[4])/16 + (6328*s[5])/33 + (40691*s[6])/176 + 
       (2582851*s[7])/1056 - (3763055*s[8])/14256 - (162571*s[9])/81 - 
       (151049*s[10])/324 - (24506093*s[11])/9504 - (6581749*s[12])/2376 - 
       (14426399*s[13])/9504 - (1448837*s[14])/9504 - (3084481*s[15])/864 - 
       (4808641*s[16])/1188 - (31742567*s[17])/9504 - (1106131*s[18])/1944 - 
       (867247*s[19])/3888 - (201214729*s[20])/42768 - 
       (149691731*s[21])/85536 + (105205843*s[22])/85536 + 
       (10647631*s[23])/2376 + (12865915*s[24])/5346 - 
       (324949393*s[25])/96228 + (362584001*s[26])/192456 - (29*s[30])/6 + 
       2*s[31] - (11*s[32])/2 - (21*s[33])/4 - (23*s[34])/6 + 
       (335*s[35])/12 + (41*s[36])/18 + (77*s[37])/3 + (583*s[38])/6 - 
       (1250*s[39])/3 + (7885*s[40])/18 - (853*s[41])/3 + (5803*s[42])/9 + 
       (42689*s[43])/198 - (414439*s[44])/1584 + (32257*s[45])/88 - 
       (2128139*s[46])/792 + (1505213*s[47])/4752 - (2378623*s[48])/4752 - 
       (4547363*s[49])/4752 + (767803*s[50])/396 + (2005093*s[51])/4752 + 
       (1746127*s[52])/4752 - (505229*s[53])/297 + (219683*s[54])/396 - 
       (16039255*s[55])/1584 - (12570677*s[56])/4752 + 
       (26049637*s[57])/7128 - (194273305*s[58])/42768 + 
       (210555727*s[59])/42768 + (544102595*s[60])/28512 - 
       (496097629*s[61])/384912 - 19*s[70] + (13*s[72])/3 - s[73]/3 - 
       (23*s[74])/12 + (23*s[75])/12 - (25*s[76])/6 + (101*s[77])/6 + 
       (13*s[78])/3 + (32*s[79])/3 - (25*s[80])/3 - 201*s[82] - 3*s[83] + 
       19*s[84] - 50*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      Omega2[w, u, v]*(-4*s[2] - (35*s[3])/2 - (17*s[4])/4 - 87*s[5] - 
       (331*s[6])/2 - (49573*s[7])/36 + (5009*s[8])/108 + (31580*s[9])/27 + 
       (62149*s[10])/108 + (103187*s[11])/72 + (100525*s[12])/72 + 
       (4649*s[13])/6 + (22819*s[14])/36 + (24805*s[15])/12 + 
       (30605*s[16])/12 + (171445*s[17])/72 + (79171*s[18])/324 + 
       (99581*s[19])/324 + (1048969*s[20])/324 + (399637*s[21])/324 - 
       (229949*s[22])/324 - (5815*s[23])/24 - (1157179*s[24])/648 + 
       (9487769*s[25])/5832 - (6100367*s[26])/5832 - s[32] - 3*s[33] - 
       4*s[34] - 4*s[35] - (10*s[36])/3 + 16*s[37] - 4*s[38] + (11*s[39])/2 - 
       (145*s[40])/6 + (61*s[41])/2 + (133*s[42])/6 - (709*s[43])/6 + 
       (1217*s[44])/12 - (817*s[45])/3 + (2887*s[46])/2 + (1010*s[47])/9 - 
       (5321*s[48])/18 + (10649*s[49])/18 - (7297*s[50])/6 + (238*s[51])/9 + 
       (1549*s[52])/36 + (5155*s[53])/6 + 189*s[54] + (17975*s[55])/3 + 
       (25447*s[56])/18 + (56950*s[57])/27 + (109306*s[58])/81 - 
       (116686*s[59])/81 - (1490687*s[60])/108 + (2339557*s[61])/2916 - 
       4*s[70] - s[74] + s[75] + 4*s[77] + 8*s[79] - (4*s[80])/3 - 
       270*s[82] - 48*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - u]*((-17*s[2])/2 - (244*s[3])/3 - (897*s[4])/4 - 
       (23395*s[5])/132 - (40907*s[6])/88 - (1696379*s[7])/396 + 
       (2010911*s[8])/7128 + (2291173*s[9])/648 + (462223*s[10])/324 + 
       (22077653*s[11])/4752 + (23189647*s[12])/4752 + (6801565*s[13])/2376 + 
       (245717*s[14])/297 + (663739*s[15])/108 + (9067505*s[16])/1188 + 
       (30606731*s[17])/4752 + (1250705*s[18])/1944 + (2000857*s[19])/1944 + 
       (190011139*s[20])/21384 + (66837055*s[21])/21384 - 
       (46939967*s[22])/21384 - (15732169*s[23])/4752 - 
       (227430157*s[24])/42768 + (2245936547*s[25])/384912 - 
       (1234310609*s[26])/384912 + (2*s[30])/3 - (7*s[32])/6 + s[33]/3 - 
       (14*s[34])/3 + (2*s[35])/3 - (2*s[36])/3 + (251*s[37])/18 - 
       (292*s[38])/3 + (919*s[39])/3 - (1058*s[40])/3 + (1675*s[41])/6 - 
       (1132*s[42])/3 - (13381*s[43])/33 + (12647*s[44])/33 - 
       (57656*s[45])/99 + (371909*s[46])/99 + (5025*s[47])/88 - 
       (102889*s[48])/264 + (510605*s[49])/264 - (404609*s[50])/132 - 
       (179845*s[51])/792 - (5123*s[52])/33 + (1259387*s[53])/594 + 
       (64585*s[54])/198 + (11047903*s[55])/792 + (7703359*s[56])/2376 + 
       (418483*s[57])/891 + (102684449*s[58])/21384 - 
       (108989975*s[59])/21384 - (159714245*s[60])/4752 + 
       (167200567*s[61])/96228 + 3*s[68] - s[69] - 4*s[70] - 2*s[73] - 
       (5*s[74])/3 + (5*s[75])/3 + (17*s[77])/3 + (4*s[78])/3 - (8*s[79])/3 + 
       (26*s[80])/9 - 252*s[82] - 48*s[85]) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*(-s[2]/2 - (25*s[3])/2 - 
       (18521*s[4])/8 - (221915*s[5])/176 - (608109*s[6])/176 - 
       (5699787*s[7])/176 + (4498999*s[8])/1584 + (3928427*s[9])/144 + 
       (1149931*s[10])/144 + (9464641*s[11])/264 + (21001999*s[12])/528 + 
       (12798785*s[13])/528 + (1288757*s[14])/528 + (1014161*s[15])/24 + 
       (14223961*s[16])/264 + (21163961*s[17])/528 + (2375425*s[18])/432 + 
       (544181*s[19])/108 + (148322587*s[20])/2376 + (51627637*s[21])/2376 - 
       (81202135*s[22])/4752 - (10589573*s[23])/264 - (10471756*s[24])/297 + 
       (3991333393*s[25])/85536 - (2093973229*s[26])/85536 - (5*s[30])/2 + 
       4*s[31] - s[32] + (181*s[33])/8 + 2*s[34] + (133*s[35])/2 + 
       (397*s[36])/4 - (737*s[37])/4 - (5387*s[38])/4 + (82283*s[39])/16 - 
       (92343*s[40])/16 + (72457*s[41])/16 - (118005*s[42])/16 - 
       (789581*s[43])/176 + (1659879*s[44])/352 - (51318*s[45])/11 + 
       (6698931*s[46])/176 - (1801241*s[47])/1056 - (505595*s[48])/1056 + 
       (21180275*s[49])/1056 - (1289591*s[50])/44 - (5540279*s[51])/1056 - 
       (4425853*s[52])/1056 + (10609369*s[53])/528 - (102187*s[54])/88 + 
       (133360151*s[55])/1056 + (34931009*s[56])/1056 - 
       (29774279*s[57])/792 + (569188567*s[58])/9504 - 
       (576242281*s[59])/9504 - (1977354149*s[60])/6336 + 
       (1343559853*s[61])/85536 - (3*s[62])/4 - 6*s[66] + 6*s[67] + 9*s[68] + 
       3*s[69] - (15*s[70])/2 + (15*s[71])/4 - 10*s[72] + 6*s[73] + 
       (91*s[74])/4 - (91*s[75])/4 + 10*s[76] + (27*s[77])/2 + 13*s[78] - 
       588*s[79] + (273*s[80])/2 + 303*s[82] - 6*s[83] - 240*s[84] - 
       48*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u]*((-33*s[2])/2 + (55*s[3])/2 - (5083*s[4])/4 - 
       (8911*s[5])/11 - (139379*s[6])/66 - (15078731*s[7])/792 + 
       (936149*s[8])/594 + (871801*s[9])/54 + (250355*s[10])/54 + 
       (16735363*s[11])/792 + (18550667*s[12])/792 + (5645485*s[13])/396 + 
       (352741*s[14])/198 + (592357*s[15])/24 + (25074461*s[16])/792 + 
       (2065267*s[17])/88 + (1173277*s[18])/324 + (201074*s[19])/81 + 
       (132263693*s[20])/3564 + (24161407*s[21])/1782 - (8988340*s[22])/891 - 
       (9644843*s[23])/396 - (71684383*s[24])/3564 + (217061525*s[25])/8019 - 
       (237104383*s[26])/16038 - s[30] - 10*s[31] + 4*s[32] - (21*s[33])/4 + 
       22*s[34] + 2*s[35] + (137*s[36])/2 - (575*s[37])/12 - 801*s[38] + 
       (25365*s[39])/8 - (28033*s[40])/8 + (22349*s[41])/8 - 
       (36689*s[42])/8 - (238011*s[43])/88 + (505289*s[44])/176 - 
       (707425*s[45])/264 + (2996855*s[46])/132 - (1699909*s[47])/1584 - 
       (434887*s[48])/1584 + (19365847*s[49])/1584 - (570661*s[50])/33 - 
       (1657765*s[51])/528 - (4060433*s[52])/1584 + (390242*s[53])/33 - 
       (15215*s[54])/33 + (39189605*s[55])/528 + (31332161*s[56])/1584 - 
       (30462395*s[57])/1188 + (523315729*s[58])/14256 - 
       (529570909*s[59])/14256 - (1743043303*s[60])/9504 + 
       (603368435*s[61])/64152 + 6*s[66] - 6*s[67] + 6*s[68] - 18*s[69] + 
       6*s[70] + 5*s[71] - 18*s[72] + 10*s[73] + (41*s[74])/2 - 
       (41*s[75])/2 + 12*s[76] + 5*s[77] - 26*s[78] - 258*s[79] + 
       (157*s[80])/6 + 229*s[82] - 3*s[83] - 162*s[84] - 48*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-83*s[2])/2 + (215*s[3])/4 - (11727*s[4])/8 - (55257*s[5])/44 - 
       (740765*s[6])/264 - (13742947*s[7])/528 + (4904359*s[8])/2376 + 
       (2395777*s[9])/108 + (735287*s[10])/108 + (45281503*s[11])/1584 + 
       (12368231*s[12])/396 + (29605693*s[13])/1584 + (5470123*s[14])/1584 + 
       (1657397*s[15])/48 + (8648633*s[16])/198 + (53039017*s[17])/1584 + 
       (1625171*s[18])/324 + (2252693*s[19])/648 + (371289635*s[20])/7128 + 
       (275261881*s[21])/14256 - (196367381*s[22])/14256 - 
       (12047705*s[23])/396 - (24949070*s[24])/891 + (2313995423*s[25])/
        64152 - (1295381237*s[26])/64152 - s[30] - 18*s[31] + 9*s[32] + 
       (7*s[33])/2 + 26*s[34] + 44*s[35] + (527*s[36])/6 - (511*s[37])/6 - 
       (3101*s[38])/3 + (95315*s[39])/24 - (104959*s[40])/24 + 
       (27601*s[41])/8 - (136175*s[42])/24 - (921037*s[43])/264 + 
       (639777*s[44])/176 - (123836*s[45])/33 + (2642369*s[46])/88 - 
       (2087803*s[47])/1584 - (606301*s[48])/1584 + (25020169*s[49])/1584 - 
       (253722*s[50])/11 - (679189*s[51])/176 - (4982537*s[52])/1584 + 
       (12658301*s[53])/792 - (11762*s[54])/33 + (159836497*s[55])/1584 + 
       (41499523*s[56])/1584 - (33582763*s[57])/1188 + 
       (671044685*s[58])/14256 - (684922451*s[59])/14256 - 
       (2334214087*s[60])/9504 + (1624376003*s[61])/128304 + s[62]/2 + 
       6*s[66] - 6*s[67] + 5*s[68] - 17*s[69] + 6*s[70] + 5*s[71] - 
       18*s[72] + 2*s[73] + 19*s[74] - 19*s[75] + 14*s[76] - 27*s[78] - 
       278*s[79] + 20*s[80] + 211*s[82] + 3*s[83] - 126*s[84] - 48*s[85]) + 
     HPL[{0, 1}, 1 - u]*Ot[u, v, w]*((-26*s[2])/3 - (281*s[3])/12 - 
       (19397*s[4])/24 - (156403*s[5])/264 - (192523*s[6])/132 - 
       (145086*s[7])/11 + (858805*s[8])/792 + (100294*s[9])/9 + 
       (122789*s[10])/36 + (1275851*s[11])/88 + (1050029*s[12])/66 + 
       (2519827*s[13])/264 + (72711*s[14])/44 + (417385*s[15])/24 + 
       (5842051*s[16])/264 + (2231851*s[17])/132 + (535105*s[18])/216 + 
       (200683*s[19])/108 + (62226305*s[20])/2376 + (22525127*s[21])/2376 - 
       (16488499*s[22])/2376 - (2058365*s[23])/132 - (33848197*s[24])/2376 + 
       (790022359*s[25])/42768 - (433287973*s[26])/42768 - (4*s[30])/3 - 
       (8*s[31])/3 + (5*s[32])/3 + (59*s[33])/12 + (11*s[34])/3 + 
       (32*s[35])/3 + (91*s[36])/3 - (109*s[37])/2 - 468*s[38] + 
       (22385*s[39])/12 - (8367*s[40])/4 + (19573*s[41])/12 - 
       (32297*s[42])/12 - (71021*s[43])/44 + (18911*s[44])/11 - 
       (247703*s[45])/132 + (966575*s[46])/66 - (42677*s[47])/66 - 
       (8809*s[48])/44 + (481813*s[49])/66 - (123131*s[50])/11 - 
       (82459*s[51])/44 - (67185*s[52])/44 + (255655*s[53])/33 - 
       (10479*s[54])/22 + (19464667*s[55])/396 + (436178*s[56])/33 - 
       (5486353*s[57])/396 + (6855347*s[58])/297 - (27559997*s[59])/1188 - 
       (94481351*s[60])/792 + (136786849*s[61])/21384 + s[71] - 
       (16*s[72])/3 + (25*s[74])/3 - (25*s[75])/3 + (16*s[76])/3 - 
       (8*s[78])/3 - 182*s[79] + (143*s[80])/3 - 146*s[82] - s[83]/2 - 
       83*s[84] - 48*s[85]) + HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((-93*s[2])/8 - (125*s[3])/48 - (46447*s[4])/96 - 
       (1331299*s[5])/3168 - (1045309*s[6])/1056 - (42345769*s[7])/4752 + 
       (9662069*s[8])/14256 + (19623719*s[9])/2592 + (3185279*s[10])/1296 + 
       (185656441*s[11])/19008 + (201326351*s[12])/19008 + 
       (1114423*s[13])/176 + (13340651*s[14])/9504 + (10278329*s[15])/864 + 
       (47896033*s[16])/3168 + (224424341*s[17])/19008 + 
       (13097953*s[18])/7776 + (5003227*s[19])/3888 + 
       (1542892661*s[20])/85536 + (569513969*s[21])/85536 - 
       (402362461*s[22])/85536 - (61728233*s[23])/6336 - 
       (1675066793*s[24])/171072 + (9435611045*s[25])/769824 - 
       (5301944435*s[26])/769824 + (23*s[30])/12 - (10*s[31])/3 + 
       (25*s[32])/12 + (31*s[33])/24 + (9*s[34])/4 + (35*s[35])/12 + 
       (172*s[36])/9 - (1673*s[37])/72 - (10573*s[38])/36 + 
       (57025*s[39])/48 - (192619*s[40])/144 + (152197*s[41])/144 - 
       (82145*s[42])/48 - (1677053*s[43])/1584 + (7140559*s[44])/6336 - 
       (974377*s[45])/792 + (15217223*s[46])/1584 - (774227*s[47])/2112 - 
       (1341349*s[48])/6336 + (30769931*s[49])/6336 - (11758667*s[50])/1584 - 
       (22374691*s[51])/19008 - (5941889*s[52])/6336 + (2697385*s[53])/528 - 
       (37271*s[54])/528 + (68612287*s[55])/2112 + (54579401*s[56])/6336 - 
       (80732011*s[57])/9504 + (852934861*s[58])/57024 - 
       (861588487*s[59])/57024 - (3002849321*s[60])/38016 + 
       (2161255351*s[61])/513216 + s[66] - s[67] + s[68]/2 - 2*s[69] - 
       s[70]/2 + s[71]/2 - (29*s[72])/6 + (19*s[73])/6 + (125*s[74])/24 - 
       (125*s[75])/24 + (13*s[76])/3 + (19*s[77])/12 - 5*s[78] - 115*s[79] + 
       (1013*s[80])/36 - (494*s[82])/3 - s[83]/4 - (109*s[84])/2 - 
       48*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Omega2[v, w, u]*(-7*s[2] - (179*s[3])/6 - (1753*s[4])/4 - 
       (47863*s[5])/132 - (119441*s[6])/132 - (9152497*s[7])/1188 + 
       (26921*s[8])/44 + (233273*s[9])/36 + (24697*s[10])/12 + 
       (6689675*s[11])/792 + (809993*s[12])/88 + (1631645*s[13])/297 + 
       (477361*s[14])/396 + (1106005*s[15])/108 + (15505769*s[16])/1188 + 
       (24135941*s[17])/2376 + (121613*s[18])/81 + (85666*s[19])/81 + 
       (27644651*s[20])/1782 + (5080169*s[21])/891 - (399533*s[22])/99 - 
       (21039743*s[23])/2376 - (19972001*s[24])/2376 + 
       (683843749*s[25])/64152 - (382970041*s[26])/64152 + s[30]/3 - 
       2*s[31] + (7*s[32])/3 + (11*s[33])/4 - 2*s[34] - (16*s[35])/3 + 
       12*s[36] - (167*s[37])/9 - (710*s[38])/3 + (1989*s[39])/2 - 
       (2273*s[40])/2 + (5251*s[41])/6 - (2873*s[42])/2 - (59417*s[43])/66 + 
       (42539*s[44])/44 - (224065*s[45])/198 + (843398*s[46])/99 - 
       (59923*s[47])/198 - (22256*s[48])/99 + (1612361*s[49])/396 - 
       (428209*s[50])/66 - (385037*s[51])/396 - (318655*s[52])/396 + 
       (1346101*s[53])/297 - (65903*s[54])/198 + (2874065*s[55])/99 + 
       (9481427*s[56])/1188 - (12634819*s[57])/1782 + 
       (141454855*s[58])/10692 - (141906241*s[59])/10692 - 
       (55139845*s[60])/792 + (376345285*s[61])/96228 + 4*s[70] - 4*s[72] + 
       (10*s[74])/3 - (10*s[75])/3 + 4*s[76] - (10*s[77])/3 - (8*s[78])/3 - 
       (296*s[79])/3 + (308*s[80])/9 - 236*s[82] - 48*s[84] - 48*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 1 - w]*(-27*s[2] + (31*s[3])/2 + 
       (2241*s[4])/4 + (1567*s[5])/11 + (14583*s[6])/44 + 
       (4308025*s[7])/792 - (735565*s[8])/1188 - (244873*s[9])/54 - 
       (61865*s[10])/54 - (5062543*s[11])/792 - (1499741*s[12])/198 - 
       (1214459*s[13])/264 + (634697*s[14])/792 - (158257*s[15])/24 - 
       (196879*s[16])/22 - (4442213*s[17])/792 - (124835*s[18])/162 - 
       (365735*s[19])/324 - (34796195*s[20])/3564 - (21967153*s[21])/7128 + 
       (20893925*s[22])/7128 + (562783*s[23])/66 + (5251459*s[24])/891 - 
       (140382397*s[25])/16038 + (65904229*s[26])/16038 - 2*s[28] - 
       28*s[29] + 6*s[30] - 28*s[31] + 9*s[33] - 28*s[34] + 56*s[35] - 
       (496*s[36])/3 + (184*s[37])/3 + 408*s[38] - (2971*s[39])/2 + 
       (9305*s[40])/6 - (2303*s[41])/2 + (12367*s[42])/6 + (75703*s[43])/66 - 
       (42815*s[44])/33 + (25357*s[45])/33 - (176373*s[46])/22 + 
       (54841*s[47])/99 - (33043*s[48])/198 - (559753*s[49])/99 + 
       (206405*s[50])/33 + (247867*s[51])/198 + (207379*s[52])/198 - 
       (135698*s[53])/33 - (6733*s[54])/11 - (1622491*s[55])/66 - 
       (536171*s[56])/99 + (7428457*s[57])/594 - (12112612*s[58])/891 + 
       (25561607*s[59])/1782 + (19619816*s[60])/297 - 
       (81097267*s[61])/32076 - 2*s[64] - 6*s[65] - 8*s[66] + 12*s[67] - 
       4*s[68] + 20*s[69] - 56*s[70] + 10*s[71] + 12*s[72] - 12*s[73] - 
       9*s[74] + 5*s[75] - 4*s[76] + 58*s[77] + 28*s[78] + 24*s[79] + 
       (2*s[80])/3 + s[81]/3 + 60*s[82] - 24*s[84] - 48*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1}, 1 - v]*(17*s[2] - (35*s[3])/2 + 
       (2541*s[4])/4 + (3754*s[5])/11 + (33579*s[6])/44 + 
       (6661327*s[7])/792 - (889633*s[8])/1188 - (189836*s[9])/27 - 
       (111287*s[10])/54 - (7584565*s[11])/792 - (2125667*s[12])/198 - 
       (1762033*s[13])/264 + (297623*s[14])/792 - (266755*s[15])/24 - 
       (939107*s[16])/66 - (8133155*s[17])/792 - (76288*s[18])/81 - 
       (618449*s[19])/324 - (55072361*s[20])/3564 - (37656031*s[21])/7128 + 
       (32204795*s[22])/7128 + (702047*s[23])/66 + (8715430*s[24])/891 - 
       (410352359*s[25])/32076 + (203254331*s[26])/32076 + 12*s[31] - 
       18*s[32] + (15*s[33])/2 - 24*s[34] + 56*s[35] - (496*s[36])/3 + 
       (184*s[37])/3 + 408*s[38] - (2971*s[39])/2 + (9305*s[40])/6 - 
       (2303*s[41])/2 + (12367*s[42])/6 + (75703*s[43])/66 - 
       (42815*s[44])/33 + (25357*s[45])/33 - (176373*s[46])/22 + 
       (54841*s[47])/99 - (33043*s[48])/198 - (559753*s[49])/99 + 
       (206405*s[50])/33 + (247867*s[51])/198 + (207379*s[52])/198 - 
       (135698*s[53])/33 - (6733*s[54])/11 - (1622491*s[55])/66 - 
       (536171*s[56])/99 + (7428457*s[57])/594 - (12112612*s[58])/891 + 
       (25561607*s[59])/1782 + (19619816*s[60])/297 - 
       (81097267*s[61])/32076 - 2*s[64] - 6*s[65] - 8*s[66] + 12*s[67] - 
       4*s[68] + 20*s[69] - 56*s[70] + 10*s[71] + 12*s[72] - 12*s[73] - 
       9*s[74] + 5*s[75] - 4*s[76] + 58*s[77] + 28*s[78] + 24*s[79] + 
       (2*s[80])/3 + s[81]/3 + 60*s[82] - 24*s[84] - 48*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*
      (-38*s[2] + 5*s[3] + 834*s[4] - (4724*s[5])/11 + (401*s[6])/33 + 
       (1010959*s[7])/792 - (744397*s[8])/1188 - (37435*s[9])/54 + 
       (92231*s[10])/108 - (426079*s[11])/198 - (1514995*s[12])/396 - 
       (391433*s[13])/132 + (692789*s[14])/198 + (26897*s[15])/72 - 
       (224641*s[16])/264 + (1093469*s[17])/396 + (27350*s[18])/81 - 
       (63733*s[19])/162 + (1448902*s[20])/891 + (1969147*s[21])/891 + 
       (2551369*s[22])/3564 + (2353765*s[23])/264 + (4768985*s[24])/7128 - 
       (309976729*s[25])/64152 + (31729993*s[26])/64152 + s[28]/2 - 3*s[29] + 
       7*s[30] - 12*s[31] + (9*s[32])/2 + (15*s[33])/4 + 9*s[34] + 
       (11*s[35])/3 - (47*s[36])/2 + 44*s[37] + (1895*s[38])/6 - 
       (30667*s[39])/24 + (36391*s[40])/24 - (9435*s[41])/8 + 
       (46181*s[42])/24 + (7357*s[43])/8 - (58687*s[44])/48 + 
       (1483*s[45])/3 - (52959*s[46])/8 + (23063*s[47])/48 - (789*s[48])/16 - 
       (70895*s[49])/16 + (15343*s[50])/3 + (202231*s[51])/144 + 
       (55715*s[52])/48 - (218549*s[53])/72 + (6509*s[54])/12 - 
       (2640331*s[55])/144 - (737021*s[56])/144 + (1472117*s[57])/108 - 
       (15542743*s[58])/1296 + (15129373*s[59])/1296 + (15461627*s[60])/288 - 
       (24031963*s[61])/11664 - 2*s[64] - s[65] + 4*s[66] - 7*s[68] + 
       3*s[69] - s[70] + s[71] - 2*s[72] - 26*s[73] - 16*s[74] + 4*s[75] + 
       s[76] - 9*s[77] - 23*s[78] + 326*s[79] - (364*s[80])/3 - 383*s[82] - 
       (15*s[83])/2 + 141*s[84] - 48*s[85]) + HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*((-277*s[2])/48 - (821*s[3])/36 - 
       (42083*s[4])/96 - (2135455*s[5])/6336 - (1806053*s[6])/2112 - 
       (31760497*s[7])/4224 + (51434725*s[8])/85536 + (24651253*s[9])/3888 + 
       (980443*s[10])/486 + (939642965*s[11])/114048 + 
       (511919339*s[12])/57024 + (612732707*s[13])/114048 + 
       (125544695*s[14])/114048 + (103848127*s[15])/10368 + 
       (725578255*s[16])/57024 + (1127086061*s[17])/114048 + 
       (65863139*s[18])/46656 + (50623489*s[19])/46656 + 
       (3873871055*s[20])/256608 + (5651605109*s[21])/1026432 - 
       (4051289461*s[22])/1026432 - (484304867*s[23])/57024 - 
       (4219365137*s[24])/513216 + (96314501453*s[25])/9237888 - 
       (53528612783*s[26])/9237888 - (17*s[30])/36 - (3*s[31])/2 + 
       (119*s[32])/144 + (397*s[33])/288 + (7*s[34])/72 + (221*s[35])/72 + 
       (1003*s[36])/72 - (20153*s[37])/864 - (33703*s[38])/144 + 
       (11755*s[39])/12 - (10004*s[40])/9 + (251003*s[41])/288 - 
       (407819*s[42])/288 - (39073*s[43])/44 + (1490683*s[44])/1584 - 
       (20027107*s[45])/19008 + (154558549*s[46])/19008 - 
       (946981*s[47])/3168 - (70289*s[48])/352 + (6378727*s[49])/1584 - 
       (9884375*s[50])/1584 - (9168997*s[51])/9504 - (34227*s[52])/44 + 
       (246943667*s[53])/57024 - (2032813*s[54])/9504 + 
       (262591871*s[55])/9504 + (211338869*s[56])/28512 - 
       (579772379*s[57])/85536 + (6450395471*s[58])/513216 - 
       (3255237031*s[59])/256608 - (7615575083*s[60])/114048 + 
       (33335069575*s[61])/9237888 - s[66]/4 + s[67]/4 + s[68]/12 + 
       (2*s[69])/3 + (5*s[70])/12 - s[71]/48 - (43*s[72])/12 - (5*s[73])/12 + 
       (131*s[74])/36 - (131*s[75])/36 + (13*s[76])/3 + (59*s[77])/72 - 
       (22*s[78])/9 - (3709*s[79])/36 + (13825*s[80])/432 - (652*s[82])/3 + 
       s[83]/8 - (83*s[84])/2 - (143*s[85])/3) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*((-101*s[2])/36 + 
       (2173*s[3])/36 + (204245*s[4])/144 + (2262113*s[5])/3168 + 
       (6790085*s[6])/3168 + (1086398789*s[7])/57024 - 
       (25657183*s[8])/14256 - (10293421*s[9])/648 - (5702683*s[10])/1296 - 
       (404017135*s[11])/19008 - (227006741*s[12])/9504 - 
       (835242223*s[13])/57024 - (17906605*s[14])/19008 - 
       (126395501*s[15])/5184 - (449477563*s[16])/14256 - 
       (1304061221*s[17])/57024 - (26068855*s[18])/7776 - 
       (21618191*s[19])/7776 - (1541184577*s[20])/42768 - 
       (80054969*s[21])/6336 + (1708181011*s[22])/171072 + 
       (359846669*s[23])/14256 + (868137301*s[24])/42768 - 
       (14308776049*s[25])/513216 + (7495186675*s[26])/513216 + s[28]/4 - 
       3*s[29] + (269*s[30])/36 + (44*s[31])/9 - (139*s[32])/72 - 
       (59*s[33])/24 - (130*s[34])/9 - 11*s[35] - (2867*s[36])/54 + 
       (45497*s[37])/432 + (5529*s[38])/8 - (201283*s[39])/72 + 
       (658649*s[40])/216 - (335957*s[41])/144 + (1754633*s[42])/432 + 
       (5344063*s[43])/2376 - (11454629*s[44])/4752 + (21694327*s[45])/9504 - 
       (183206981*s[46])/9504 + (8223203*s[47])/7128 - (585635*s[48])/3564 - 
       (144720691*s[49])/14256 + (34278847*s[50])/2376 + 
       (4903975*s[51])/1782 + (33016541*s[52])/14256 - 
       (284918377*s[53])/28512 + (4568081*s[54])/4752 - 
       (98988929*s[55])/1584 - (20282743*s[56])/1188 + 
       (342225695*s[57])/14256 - (908040377*s[58])/28512 + 
       (455998427*s[59])/14256 + (26230055135*s[60])/171072 - 
       (12455571083*s[61])/1539648 + s[64]/2 - s[65]/4 - (17*s[66])/6 + 
       (11*s[67])/6 + (7*s[68])/6 + (13*s[69])/2 - (23*s[70])/2 - 
       (13*s[71])/24 + (49*s[72])/3 - (56*s[73])/9 - (175*s[74])/12 + 
       (187*s[75])/12 - 19*s[76] + (53*s[77])/9 + (461*s[78])/18 + 
       (395*s[79])/2 - (8221*s[80])/216 - 139*s[82] + (65*s[83])/12 + 
       64*s[84] - (137*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*((-58*s[2])/3 + (125*s[3])/4 + 
       (73*s[4])/8 - (8401*s[5])/44 - (13726*s[6])/33 - 
       (11888489*s[7])/4752 + (69634*s[8])/891 + (1427395*s[9])/648 + 
       (265399*s[10])/324 + (783362*s[11])/297 + (12647539*s[12])/4752 + 
       (271693*s[13])/176 + (5994191*s[14])/4752 + (478069*s[15])/144 + 
       (3371059*s[16])/792 + (8966303*s[17])/2376 + (684361*s[18])/972 + 
       (141295*s[19])/1944 + (61276265*s[20])/10692 + 
       (105868193*s[21])/42768 - (56032807*s[22])/42768 - 
       (286169*s[23])/176 - (111821437*s[24])/42768 + 
       (1104052733*s[25])/384912 - (800274185*s[26])/384912 + (4*s[30])/3 - 
       4*s[31] + 3*s[32] + 3*s[33] - s[34]/3 - (13*s[35])/3 - (97*s[36])/9 - 
       (365*s[37])/36 - (111*s[38])/2 + (2987*s[39])/12 - (10445*s[40])/36 + 
       (1411*s[41])/6 - (3229*s[42])/9 - (112489*s[43])/396 + 
       (99403*s[44])/396 - (317275*s[45])/792 + (732473*s[46])/264 - 
       (143875*s[47])/2376 - (471433*s[48])/2376 + (1297019*s[49])/1188 - 
       (797671*s[50])/396 - (296341*s[51])/1188 - (64072*s[52])/297 + 
       (1139921*s[53])/792 - (12500*s[54])/33 + (2475851*s[55])/264 + 
       (3496855*s[56])/1188 - (1238770*s[57])/891 + (87174643*s[58])/21384 - 
       (20948941*s[59])/5346 - (317849821*s[60])/14256 + 
       (546021365*s[61])/384912 + s[62]/2 + 2*s[66] - 2*s[67] - 4*s[69] + 
       2*s[70] + (5*s[71])/2 - 4*s[72] + 4*s[73] + (5*s[74])/6 - 
       (5*s[75])/6 + 6*s[76] - 4*s[77] - 6*s[78] - (100*s[79])/3 + 
       (193*s[80])/18 - 18*s[82] - 24*s[84] - 44*s[85]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((-307*s[2])/36 - (1979*s[3])/72 - (9331*s[4])/18 - (160813*s[5])/396 - 
       (3148237*s[6])/3168 - (21387101*s[7])/2376 + (6552649*s[8])/9504 + 
       (6575675*s[9])/864 + (134959*s[10])/54 + (20804221*s[11])/2112 + 
       (67678885*s[12])/6336 + (60557047*s[13])/9504 + (1484069*s[14])/1056 + 
       (655267*s[15])/54 + (145613515*s[16])/9504 + (228456163*s[17])/19008 + 
       (2135293*s[18])/1296 + (450713*s[19])/324 + (32499475*s[20])/1782 + 
       (21074561*s[21])/3168 - (134962981*s[22])/28512 - 
       (184045237*s[23])/19008 - (571310501*s[24])/57024 + 
       (2124461335*s[25])/171072 - (1185123289*s[26])/171072 - s[27]/2 - 
       (23*s[30])/36 - (13*s[31])/9 + (59*s[32])/72 - (73*s[33])/18 + 
       s[34]/9 + (155*s[35])/18 + (211*s[36])/9 - (3299*s[37])/144 - 
       (22027*s[38])/72 + (85339*s[39])/72 - (32101*s[40])/24 + 
       (151091*s[41])/144 - (242581*s[42])/144 - (862885*s[43])/792 + 
       (7243273*s[44])/6336 - (1288021*s[45])/1056 + (3358625*s[46])/352 - 
       (6320597*s[47])/19008 - (5168237*s[48])/19008 + 
       (94224275*s[49])/19008 - (11693609*s[50])/1584 - 
       (21796169*s[51])/19008 - (17661601*s[52])/19008 + 
       (48153175*s[53])/9504 - (21491*s[54])/396 + (614502233*s[55])/19008 + 
       (160598285*s[56])/19008 - (226959019*s[57])/28512 + 
       (2516927179*s[58])/171072 - (2558288443*s[59])/171072 - 
       (9043043123*s[60])/114048 + (3172202975*s[61])/769824 + s[62]/4 + 
       (5*s[66])/6 - (5*s[67])/6 + (19*s[68])/6 - (7*s[69])/3 - s[70] - 
       s[71]/24 - (38*s[72])/9 + (137*s[74])/36 - (137*s[75])/36 + 
       (17*s[76])/9 + (9*s[77])/2 - (65*s[78])/18 - (713*s[79])/6 + 
       (2255*s[80])/72 - (267*s[82])/2 + (23*s[83])/12 - (100*s[84])/3 - 
       (127*s[85])/3) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^3*
      ((-55*s[2])/24 - (1033*s[3])/48 - (64043*s[4])/96 - (56059*s[5])/132 - 
       (1243949*s[6])/1056 - (21992111*s[7])/2112 + (8154353*s[8])/9504 + 
       (3785081*s[9])/432 + (1192513*s[10])/432 + (72432143*s[11])/6336 + 
       (4947931*s[12])/396 + (47724101*s[13])/6336 + (8289467*s[14])/6336 + 
       (7977959*s[15])/576 + (27886757*s[16])/1584 + (86074085*s[17])/6336 + 
       (2431921*s[18])/1296 + (4067539*s[19])/2592 + (588660283*s[20])/
        28512 + (423486221*s[21])/57024 - (311963257*s[22])/57024 - 
       (9555155*s[23])/792 - (162392737*s[24])/14256 + 
       (1872747587*s[25])/128304 - (1023598739*s[26])/128304 - s[28]/12 - 
       s[29]/6 - (19*s[30])/12 - s[31] + (19*s[32])/12 + (21*s[33])/4 - 
       (29*s[34])/12 + (137*s[35])/12 + (503*s[36])/18 - (1643*s[37])/72 - 
       (4129*s[38])/12 + (68467*s[39])/48 - (232585*s[40])/144 + 
       (20623*s[41])/16 - (299489*s[42])/144 - (1986287*s[43])/1584 + 
       (2135213*s[44])/1584 - (2247577*s[45])/1584 + (1493947*s[46])/132 - 
       (271973*s[47])/594 - (957655*s[48])/4752 + (3378347*s[49])/594 - 
       (3451517*s[50])/396 - (6878951*s[51])/4752 - (2742607*s[52])/2376 + 
       (1060113*s[53])/176 - (36935*s[54])/132 + (6728991*s[55])/176 + 
       (24259927*s[56])/2376 - (147724397*s[57])/14256 + 
       (756938353*s[58])/42768 - (765522337*s[59])/42768 - 
       (2637134239*s[60])/28512 + (1894559947*s[61])/384912 - s[64]/12 + 
       (2*s[66])/3 - s[67]/2 + (5*s[68])/6 - (8*s[69])/3 - s[70]/3 + 
       (5*s[71])/3 - (13*s[72])/2 + (11*s[73])/6 + (59*s[74])/8 - 
       (181*s[75])/24 + (17*s[76])/6 + (55*s[77])/12 - 5*s[78] - 165*s[79] + 
       (1411*s[80])/36 + s[81]/72 - 112*s[82] + s[83]/2 - 70*s[84] - 
       42*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^3*
      ((-199*s[2])/24 + (161*s[3])/48 - (19445*s[4])/32 - (228763*s[5])/528 - 
       (389429*s[6])/352 - (189560905*s[7])/19008 + (23277553*s[8])/28512 + 
       (10968223*s[9])/1296 + (208496*s[10])/81 + (208028719*s[11])/19008 + 
       (28499209*s[12])/2376 + (45541919*s[13])/6336 + 
       (24480391*s[14])/19008 + (2528803*s[15])/192 + (8831057*s[16])/528 + 
       (242697149*s[17])/19008 + (7370057*s[18])/3888 + 
       (10279439*s[19])/7776 + (1699880279*s[20])/85536 + 
       (1238016853*s[21])/171072 - (902046221*s[22])/171072 - 
       (18793141*s[23])/1584 - (227939101*s[24])/21384 + 
       (5350402435*s[25])/384912 - (2958295837*s[26])/384912 - (23*s[30])/3 - 
       (25*s[31])/6 + (7*s[32])/2 - (41*s[33])/16 + (49*s[34])/6 + 
       (137*s[35])/12 + (503*s[36])/18 - (1643*s[37])/72 - (4129*s[38])/12 + 
       (68467*s[39])/48 - (232585*s[40])/144 + (20623*s[41])/16 - 
       (299489*s[42])/144 - (1986287*s[43])/1584 + (2135213*s[44])/1584 - 
       (2247577*s[45])/1584 + (1493947*s[46])/132 - (271973*s[47])/594 - 
       (957655*s[48])/4752 + (3378347*s[49])/594 - (3451517*s[50])/396 - 
       (6878951*s[51])/4752 - (2742607*s[52])/2376 + (1060113*s[53])/176 - 
       (36935*s[54])/132 + (6728991*s[55])/176 + (24259927*s[56])/2376 - 
       (147724397*s[57])/14256 + (756938353*s[58])/42768 - 
       (765522337*s[59])/42768 - (2637134239*s[60])/28512 + 
       (1894559947*s[61])/384912 - s[64]/12 + (2*s[66])/3 - s[67]/2 + 
       (5*s[68])/6 - (8*s[69])/3 - s[70]/3 + (5*s[71])/3 - (13*s[72])/2 + 
       (11*s[73])/6 + (59*s[74])/8 - (181*s[75])/24 + (17*s[76])/6 + 
       (55*s[77])/12 - 5*s[78] - 165*s[79] + (1411*s[80])/36 + s[81]/72 - 
       112*s[82] + s[83]/2 - 70*s[84] - 42*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((-23*s[2])/4 - (509*s[3])/24 - (16811*s[4])/48 - (94561*s[5])/264 - 
       (431347*s[6])/528 - (68144107*s[7])/9504 + (747773*s[8])/1584 + 
       (54905*s[9])/9 + (18674*s[10])/9 + (24988891*s[11])/3168 + 
       (1121201*s[12])/132 + (48925883*s[13])/9504 + (4187695*s[14])/3168 + 
       (8259517*s[15])/864 + (29188631*s[16])/2376 + (92596639*s[17])/9504 + 
       (408157*s[18])/324 + (1585439*s[19])/1296 + (208627451*s[20])/14256 + 
       (152729597*s[21])/28512 - (35985079*s[22])/9504 - 
       (16340221*s[23])/2376 - (9753853*s[24])/1188 + 
       (1269033715*s[25])/128304 - (709051807*s[26])/128304 + (5*s[30])/6 - 
       (2*s[31])/3 + (19*s[32])/6 + (17*s[33])/6 - (9*s[34])/2 - 
       (61*s[35])/6 + (197*s[36])/9 + (61*s[37])/3 - (752*s[38])/3 + 
       (22001*s[39])/24 - (77539*s[40])/72 + (6819*s[41])/8 - 
       (90761*s[42])/72 - (781229*s[43])/792 + (822425*s[44])/792 - 
       (84175*s[45])/66 + (7133099*s[46])/792 - (47371*s[47])/594 - 
       (1409329*s[48])/2376 + (5480285*s[49])/1188 - (705127*s[50])/99 - 
       (2012057*s[51])/2376 - (393593*s[52])/594 + (1453889*s[53])/297 + 
       (161155*s[54])/396 + (8396119*s[55])/264 + (9358001*s[56])/1188 - 
       (27179905*s[57])/7128 + (137823883*s[58])/10692 - 
       (283859555*s[59])/21384 - (550212173*s[60])/7128 + 
       (1562941351*s[61])/384912 + 2*s[66] - 2*s[67] + 3*s[68] - 8*s[69] - 
       s[70] + (3*s[71])/2 - s[72] + (5*s[73])/3 + (23*s[74])/12 - 
       (17*s[75])/12 - 5*s[76] + (23*s[77])/6 - (4*s[78])/3 - (236*s[79])/3 + 
       15*s[80] - 308*s[82] + (13*s[83])/4 - (75*s[84])/2 - 42*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      ((-295*s[2])/48 - (1247*s[3])/96 - (14015*s[4])/192 - 
       (42311*s[5])/264 - (247663*s[6])/704 - (95260465*s[7])/38016 + 
       (9187927*s[8])/57024 + (687209*s[9])/324 + (2059781*s[10])/2592 + 
       (101217043*s[11])/38016 + (13050115*s[12])/4752 + 
       (20626735*s[13])/12672 + (29771671*s[14])/38016 + 
       (3981605*s[15])/1152 + (13841339*s[16])/3168 + 
       (143073965*s[17])/38016 + (4029959*s[18])/7776 + 
       (5371937*s[19])/15552 + (912183755*s[20])/171072 + 
       (707965993*s[21])/342144 - (442016657*s[22])/342144 - 
       (6011117*s[23])/3168 - (241340819*s[24])/85536 + 
       (4924331999*s[25])/1539648 - (3004588061*s[26])/1539648 + 
       (7*s[30])/12 - (5*s[31])/4 + (3*s[32])/4 + (13*s[33])/32 - 
       (25*s[34])/6 - (67*s[35])/8 + (253*s[36])/72 + (143*s[37])/18 - 
       (253*s[38])/6 + (10307*s[39])/48 - (36239*s[40])/144 + 
       (9829*s[41])/48 - (2683*s[42])/9 - (405553*s[43])/1584 + 
       (844409*s[44])/3168 - (712699*s[45])/1584 + (2322505*s[46])/792 + 
       (340*s[47])/297 - (59390*s[48])/297 + (2759077*s[49])/2376 - 
       (3609649*s[50])/1584 - (952213*s[51])/4752 - (1584323*s[52])/9504 + 
       (15591509*s[53])/9504 - (136975*s[54])/1584 + (4282957*s[55])/396 + 
       (520439*s[56])/176 - (614861*s[57])/4752 + (113792191*s[58])/28512 - 
       (7125565*s[59])/1782 - (699144311*s[60])/28512 + 
       (264942611*s[61])/171072 + s[68]/6 - (5*s[69])/12 - s[70]/12 - 
       (19*s[71])/24 - (11*s[72])/12 - (25*s[73])/12 + (3*s[74])/16 - 
       (3*s[75])/16 - (13*s[76])/12 + (5*s[77])/24 + s[78]/12 + (5*s[79])/6 + 
       (125*s[80])/18 - (433*s[82])/2 + s[83]/4 - (37*s[84])/2 - 42*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-73*s[2])/18 - (2209*s[3])/144 - (95851*s[4])/288 - 
       (54415*s[5])/264 - (2172409*s[6])/3168 - (295088669*s[7])/57024 + 
       (37797161*s[8])/85536 + (16744283*s[9])/3888 + (1227391*s[10])/972 + 
       (327414287*s[11])/57024 + (181953587*s[12])/28512 + 
       (24904511*s[13])/6336 + (38847383*s[14])/57024 + (3789743*s[15])/576 + 
       (40859789*s[16])/4752 + (365851657*s[17])/57024 + 
       (23946173*s[18])/23328 + (7118225*s[19])/11664 + 
       (648271375*s[20])/64152 + (1914772727*s[21])/513216 - 
       (1384499707*s[22])/513216 - (10077665*s[23])/1584 - 
       (1406302859*s[24])/256608 + (16907508169*s[25])/2309472 - 
       (9401410789*s[26])/2309472 - s[30]/9 - (7*s[31])/9 + (5*s[32])/72 + 
       (403*s[33])/144 - (19*s[34])/12 + s[35]/3 + (2167*s[36])/216 - 
       (6257*s[37])/432 - (739*s[38])/4 + (71527*s[39])/96 - 
       (735931*s[40])/864 + (191729*s[41])/288 - (919763*s[42])/864 - 
       (6754697*s[43])/9504 + (855979*s[44])/1188 - (7752343*s[45])/9504 + 
       (4967071*s[46])/792 - (758027*s[47])/3564 - (8202385*s[48])/28512 + 
       (44076335*s[49])/14256 - (11102093*s[50])/2376 - 
       (20292761*s[51])/28512 - (17610203*s[52])/28512 + 
       (7660613*s[53])/2376 - (596977*s[54])/1584 + (198301441*s[55])/9504 + 
       (42703151*s[56])/7128 - (478665551*s[57])/85536 + 
       (1267452419*s[58])/128304 - (2515389193*s[59])/256608 - 
       (8756169457*s[60])/171072 + (13169001563*s[61])/4618944 + s[66]/6 - 
       s[67]/6 + s[68]/3 - (2*s[69])/3 + s[70]/3 + (5*s[71])/4 - 
       (17*s[72])/9 - (4*s[73])/3 + (35*s[74])/12 - (35*s[75])/12 + 
       (13*s[76])/18 - s[77]/6 - (10*s[78])/9 - (1451*s[79])/18 + 
       (4855*s[80])/216 - (937*s[82])/6 - (5*s[83])/6 - (209*s[84])/6 - 
       (125*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]^2*((-169*s[2])/24 - (217*s[3])/8 - (10957*s[4])/48 - 
       (208741*s[5])/704 - (1283651*s[6])/2112 - (25481743*s[7])/4752 + 
       (20568943*s[8])/57024 + (23649107*s[9])/5184 + (8354335*s[10])/5184 + 
       (110161115*s[11])/19008 + (116805289*s[12])/19008 + 
       (34027493*s[13])/9504 + (11666923*s[14])/9504 + 
       (12744797*s[15])/1728 + (87953837*s[16])/9504 + 
       (24021953*s[17])/3168 + (16381171*s[18])/15552 + 
       (1582873*s[19])/1944 + (483063419*s[20])/42768 + 
       (724175321*s[21])/171072 - (240086051*s[22])/85536 - 
       (23976455*s[23])/4752 - (64460581*s[24])/10692 + 
       (21916031371*s[25])/3079296 - (12779839123*s[26])/3079296 - s[30]/12 - 
       s[31]/3 + (5*s[32])/4 + (245*s[33])/96 - (125*s[34])/24 - 
       (49*s[35])/24 + (841*s[36])/72 - (1819*s[37])/288 - (7253*s[38])/48 + 
       (58549*s[39])/96 - (200527*s[40])/288 + (26119*s[41])/48 - 
       (62099*s[42])/72 - (1894865*s[43])/3168 + (4047499*s[44])/6336 - 
       (5115227*s[45])/6336 + (12192577*s[46])/2112 - (2494931*s[47])/19008 - 
       (4650689*s[48])/19008 + (53287121*s[49])/19008 - (3568265*s[50])/792 - 
       (11180143*s[51])/19008 - (8614093*s[52])/19008 + 
       (6669977*s[53])/2112 + (12437*s[54])/352 + (42991325*s[55])/2112 + 
       (98816029*s[56])/19008 - (80619587*s[57])/28512 + 
       (716330389*s[58])/85536 - (1463071517*s[59])/171072 - 
       (172636657*s[60])/3564 + (8099015311*s[61])/3079296 - s[62]/16 + 
       s[66]/6 - s[67]/6 + s[68]/3 - (2*s[69])/3 - (5*s[70])/6 - 
       (29*s[71])/48 - (3*s[72])/2 - (19*s[73])/6 + (31*s[74])/12 - 
       (31*s[75])/12 + s[76]/3 + (11*s[77])/12 - (4*s[78])/3 - 42*s[79] + 
       (1889*s[80])/144 - 273*s[82] - s[83]/2 - 28*s[84] - 41*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*
      ((-55*s[2])/12 - (3823*s[3])/288 - (204185*s[4])/576 - 
       (71353*s[5])/288 - (382507*s[6])/576 - (60632887*s[7])/10368 + 
       (2487925*s[8])/5184 + (12739841*s[9])/2592 + (4006975*s[10])/2592 + 
       (22202513*s[11])/3456 + (3038653*s[12])/432 + (43895921*s[13])/10368 + 
       (2705237*s[14])/3456 + (80172827*s[15])/10368 + 
       (51029083*s[16])/5184 + (78463933*s[17])/10368 + 
       (8431991*s[18])/7776 + (13094837*s[19])/15552 + 
       (180947647*s[20])/15552 + (43677205*s[21])/10368 - 
       (95503883*s[22])/31104 - (34947599*s[23])/5184 - 
       (99275959*s[24])/15552 + (127097225*s[25])/15552 - 
       (69966509*s[26])/15552 + s[30]/36 - (14*s[31])/9 + (25*s[32])/24 + 
       (17*s[33])/48 + (19*s[34])/18 + (2*s[35])/3 + (4847*s[36])/432 - 
       (6667*s[37])/432 - (27961*s[38])/144 + (150871*s[39])/192 - 
       (1553435*s[40])/1728 + (408031*s[41])/576 - (1951681*s[42])/1728 - 
       (13902529*s[43])/19008 + (29495777*s[44])/38016 - (522455*s[45])/594 + 
       (127473359*s[46])/19008 - (24982843*s[47])/114048 - 
       (24925093*s[48])/114048 + (378173473*s[49])/114048 - 
       (1535674*s[50])/297 - (88778945*s[51])/114048 - 
       (71435615*s[52])/114048 + (204027409*s[53])/57024 - 
       (1442069*s[54])/9504 + (291052909*s[55])/12672 + 
       (233986393*s[56])/38016 - (147547847*s[57])/28512 + 
       (1169941517*s[58])/114048 - (393965633*s[59])/38016 - 
       (37956926527*s[60])/684288 + (9220975949*s[61])/3079296 - s[66]/6 + 
       s[67]/6 + s[68]/3 + (13*s[71])/16 - (8*s[72])/3 + (4*s[73])/9 + 
       (25*s[74])/8 - (25*s[75])/8 + (11*s[76])/6 + (19*s[77])/18 - 
       (11*s[78])/9 - (277*s[79])/3 + (2581*s[80])/108 - (771*s[82])/4 - 
       (5*s[83])/6 - (73*s[84])/2 - (122*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      ((-136*s[2])/9 + (3617*s[3])/144 + (41093*s[4])/288 - 
       (37777*s[5])/1584 - (22273*s[6])/3168 + (1798859*s[7])/19008 - 
       (1700881*s[8])/28512 - (8905*s[9])/1296 + (157547*s[10])/648 - 
       (4084489*s[11])/19008 - (4346707*s[12])/9504 - (7632461*s[13])/19008 + 
       (10899149*s[14])/19008 + (233723*s[15])/1728 + (1091501*s[16])/9504 + 
       (3627347*s[17])/6336 + (83347*s[18])/972 - (797135*s[19])/7776 + 
       (49081885*s[20])/85536 + (82989875*s[21])/171072 + 
       (4474313*s[22])/171072 + (6481489*s[23])/4752 + (986209*s[24])/21384 - 
       (127083479*s[25])/192456 - (4115119*s[26])/192456 - (17*s[30])/36 - 
       (58*s[31])/9 + (293*s[32])/72 - (847*s[33])/72 + (253*s[34])/36 + 
       (247*s[35])/36 + (29*s[36])/8 + (1081*s[37])/72 + (2165*s[38])/24 - 
       (64177*s[39])/288 + (68893*s[40])/288 - (51143*s[41])/288 + 
       (27145*s[42])/96 + (687239*s[43])/3168 - (1119517*s[44])/6336 + 
       (162341*s[45])/792 - (4754741*s[46])/3168 + (1067435*s[47])/19008 + 
       (1340345*s[48])/19008 - (15682553*s[49])/19008 + (412531*s[50])/396 + 
       (4027069*s[51])/19008 + (4015471*s[52])/19008 - (2432057*s[53])/3168 + 
       (168605*s[54])/528 - (91144573*s[55])/19008 - (23612323*s[56])/19008 + 
       (3873757*s[57])/3564 - (381569117*s[58])/171072 + 
       (389350211*s[59])/171072 + (1366966967*s[60])/114048 - 
       (870980951*s[61])/1539648 + (11*s[66])/3 - (11*s[67])/3 - 
       (11*s[68])/3 - (11*s[69])/3 + (5*s[70])/6 - (15*s[71])/8 - 
       (53*s[72])/9 + s[73] + (37*s[74])/72 - (55*s[75])/72 + (20*s[76])/9 - 
       (133*s[78])/9 + (16*s[79])/3 + (37*s[80])/18 - (565*s[82])/2 + 
       (41*s[83])/12 + (35*s[84])/3 - (121*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-35*s[2])/3 + (41*s[3])/4 + (149*s[4])/24 - (18613*s[5])/132 - 
       (48161*s[6])/264 - (2558143*s[7])/1584 + (125629*s[8])/2376 + 
       (39412*s[9])/27 + (49595*s[10])/108 + (2878681*s[11])/1584 + 
       (1555645*s[12])/792 + (208309*s[13])/176 + (745051*s[14])/1584 + 
       (295001*s[15])/144 + (712985*s[16])/264 + (3287711*s[17])/1584 + 
       (114257*s[18])/324 + (117683*s[19])/648 + (24992915*s[20])/7128 + 
       (20178217*s[21])/14256 - (12542201*s[22])/14256 - (81145*s[23])/66 - 
       (1652687*s[24])/891 + (34520627*s[25])/16038 - 
       (21281897*s[26])/16038 - 8*s[31] + (5*s[33])/6 + (29*s[34])/3 - 
       (5*s[35])/3 + (113*s[36])/18 - (64*s[37])/9 - (268*s[38])/3 + 
       (1867*s[39])/8 - (18263*s[40])/72 + (1395*s[41])/8 - 
       (19267*s[42])/72 - (234661*s[43])/792 + (433607*s[44])/1584 - 
       (162169*s[45])/396 + (227433*s[46])/88 + (38405*s[47])/4752 - 
       (1275589*s[48])/4752 + (6537673*s[49])/4752 - (388387*s[50])/198 - 
       (617909*s[51])/4752 - (747389*s[52])/4752 + (1073735*s[53])/792 + 
       (4570*s[54])/33 + (4812325*s[55])/528 + (10778531*s[56])/4752 - 
       (1438181*s[57])/3564 + (150979561*s[58])/42768 - 
       (154494727*s[59])/42768 - (644953747*s[60])/28512 + 
       (455015323*s[61])/384912 - 2*s[68] + 2*s[69] - (4*s[74])/3 + 
       (4*s[75])/3 + 8*s[76] - 2*s[77] - 5*s[78] + (76*s[79])/3 - 
       (170*s[80])/9 - 252*s[82] - 40*s[85]) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*((-10*s[2])/3 - 13*s[3] - 
       18*s[4] - (4079*s[5])/66 - (17825*s[6])/132 - (104109*s[7])/88 + 
       (4987*s[8])/99 + (18067*s[9])/18 + (17119*s[10])/36 + 
       (55381*s[11])/44 + (334759*s[12])/264 + (62487*s[13])/88 + 
       (39445*s[14])/88 + (123563*s[15])/72 + (284959*s[16])/132 + 
       (42223*s[17])/22 + (5575*s[18])/27 + (28139*s[19])/108 + 
       (3217385*s[20])/1188 + (2401741*s[21])/2376 - (1465577*s[22])/2376 - 
       (34569*s[23])/88 - (3587651*s[24])/2376 + (31317403*s[25])/21384 - 
       (19199893*s[26])/21384 - s[32] - (7*s[33])/3 - (8*s[34])/3 - 
       (4*s[35])/3 - (16*s[36])/9 + (208*s[37])/9 - 10*s[38] + (98*s[39])/3 - 
       (458*s[40])/9 + (155*s[41])/3 - (214*s[42])/9 - (10828*s[43])/99 + 
       (20849*s[44])/198 - (21752*s[45])/99 + (41444*s[46])/33 + 
       (95563*s[47])/1188 - (272849*s[48])/1188 + (333511*s[49])/594 - 
       (210743*s[50])/198 - (12407*s[51])/594 + (9877*s[52])/594 + 
       (71087*s[53])/99 + (12677*s[54])/66 + (216695*s[55])/44 + 
       (342733*s[56])/297 + (2163313*s[57])/1782 + (7144519*s[58])/5346 - 
       (7334851*s[59])/5346 - (21129935*s[60])/1782 + 
       (31826743*s[61])/48114 - 4*s[70] - (2*s[74])/3 + (2*s[75])/3 + 
       4*s[77] + (8*s[79])/3 - (4*s[80])/9 - 224*s[82] - 40*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Omega2[v, w, u]*
      ((-14*s[2])/3 - (215*s[3])/12 - (12485*s[4])/24 - (12203*s[5])/33 - 
       (249385*s[6])/264 - (40446943*s[7])/4752 + (1671253*s[8])/2376 + 
       (388049*s[9])/54 + (241223*s[10])/108 + (14803331*s[11])/1584 + 
       (8107939*s[12])/792 + (29140337*s[13])/4752 + (1752449*s[14])/1584 + 
       (4865557*s[15])/432 + (34078405*s[16])/2376 + (52340995*s[17])/4752 + 
       (255359*s[18])/162 + (794695*s[19])/648 + (120821689*s[20])/7128 + 
       (29016881*s[21])/4752 - (63863783*s[22])/14256 - (5912663*s[23])/594 - 
       (16462399*s[24])/1782 + (254628599*s[25])/21384 - 
       (139455599*s[26])/21384 - (4*s[30])/3 - (4*s[31])/3 + (4*s[32])/3 + 
       (3*s[33])/2 + (2*s[34])/3 + 6*s[35] + (307*s[36])/18 - 
       (1201*s[37])/36 - (835*s[38])/3 + (9373*s[39])/8 - (96073*s[40])/72 + 
       (25067*s[41])/24 - (122849*s[42])/72 - (820835*s[43])/792 + 
       (1767781*s[44])/1584 - (955883*s[45])/792 + (3744053*s[46])/396 - 
       (1841111*s[47])/4752 - (818573*s[48])/4752 + (22333973*s[49])/4752 - 
       (1440155*s[50])/198 - (5637037*s[51])/4752 - (4460743*s[52])/4752 + 
       (5975719*s[53])/1188 - (54785*s[54])/198 + (16870621*s[55])/528 + 
       (4530355*s[56])/528 - (10098563*s[57])/1188 + (210292301*s[58])/
        14256 - (211811309*s[59])/14256 - (2207335541*s[60])/28512 + 
       (44463827*s[61])/10692 - 4*s[72] + (4*s[73])/3 + 5*s[74] - 5*s[75] + 
       4*s[76] + (2*s[77])/3 - (8*s[78])/3 - 140*s[79] + (791*s[80])/18 - 
       190*s[82] - s[83] - 54*s[84] - 40*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Omega2[v, w, u]*
      (-8*s[2] - (55*s[3])/6 - (6131*s[4])/12 - (98933*s[5])/264 - 
       (251101*s[6])/264 - (10152499*s[7])/1188 + (1665313*s[8])/2376 + 
       (1560341*s[9])/216 + (486253*s[10])/216 + (3714833*s[11])/396 + 
       (4064711*s[12])/396 + (7311443*s[13])/1188 + (454439*s[14])/396 + 
       (2442581*s[15])/216 + (8543683*s[16])/594 + (26275289*s[17])/2376 + 
       (1028069*s[18])/648 + (394193*s[19])/324 + (15188309*s[20])/891 + 
       (14648443*s[21])/2376 - (8024293*s[22])/1782 - (23470571*s[23])/2376 - 
       (66201937*s[24])/7128 + (510128167*s[25])/42768 - 
       (280492591*s[26])/42768 - (2*s[30])/3 - (8*s[31])/3 + 2*s[32] + 
       s[33] + (8*s[34])/3 + 6*s[35] + (307*s[36])/18 - (1201*s[37])/36 - 
       (835*s[38])/3 + (9373*s[39])/8 - (96073*s[40])/72 + (25067*s[41])/24 - 
       (122849*s[42])/72 - (820835*s[43])/792 + (1767781*s[44])/1584 - 
       (955883*s[45])/792 + (3744053*s[46])/396 - (1841111*s[47])/4752 - 
       (818573*s[48])/4752 + (22333973*s[49])/4752 - (1440155*s[50])/198 - 
       (5637037*s[51])/4752 - (4460743*s[52])/4752 + (5975719*s[53])/1188 - 
       (54785*s[54])/198 + (16870621*s[55])/528 + (4530355*s[56])/528 - 
       (10098563*s[57])/1188 + (210292301*s[58])/14256 - 
       (211811309*s[59])/14256 - (2207335541*s[60])/28512 + 
       (44463827*s[61])/10692 - 4*s[72] + (4*s[73])/3 + 5*s[74] - 5*s[75] + 
       4*s[76] + (2*s[77])/3 - (8*s[78])/3 - 140*s[79] + (791*s[80])/18 - 
       190*s[82] - s[83] - 54*s[84] - 40*s[85]) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-29*s[2])/24 - (1087*s[3])/48 - (129065*s[4])/288 - 
       (271529*s[5])/1056 - (2301965*s[6])/3168 - (4678973*s[7])/704 + 
       (16276157*s[8])/28512 + (7222997*s[9])/1296 + (4465355*s[10])/2592 + 
       (69584485*s[11])/9504 + (153380371*s[12])/19008 + 
       (92076119*s[13])/19008 + (12848141*s[14])/19008 + 
       (15146999*s[15])/1728 + (106343665*s[16])/9504 + 
       (20133745*s[17])/2376 + (9248045*s[18])/7776 + (7889869*s[19])/7776 + 
       (1117136497*s[20])/85536 + (787383011*s[21])/171072 - 
       (597350965*s[22])/171072 - (151792303*s[23])/19008 - 
       (1239877207*s[24])/171072 + (7261517995*s[25])/769824 - 
       (485919389*s[26])/96228 - s[27]/12 - (7*s[30])/6 - s[31]/3 - s[32]/6 - 
       (23*s[33])/48 + (19*s[35])/12 + 12*s[36] - (1549*s[37])/72 - 
       (8137*s[38])/36 + (14611*s[39])/16 - (49841*s[40])/48 + 
       (118165*s[41])/144 - (189307*s[42])/144 - (146205*s[43])/176 + 
       (5568569*s[44])/6336 - (10990*s[45])/11 + (12118141*s[46])/1584 - 
       (5004077*s[47])/19008 - (3852113*s[48])/19008 + 
       (71832599*s[49])/19008 - (3124915*s[50])/528 - 
       (17459501*s[51])/19008 - (13815325*s[52])/19008 + 
       (19403365*s[53])/4752 - (186091*s[54])/1584 + (164971699*s[55])/6336 + 
       (43931839*s[56])/6336 - (19730867*s[57])/3168 + 
       (671165587*s[58])/57024 - (676625497*s[59])/57024 - 
       (7194435749*s[60])/114048 + (1739654297*s[61])/513216 - s[66] + 
       s[67] + s[68]/2 + 2*s[69] - (3*s[70])/2 + s[71]/2 - (13*s[72])/6 + 
       (5*s[73])/2 + (85*s[74])/24 - (85*s[75])/24 + (11*s[76])/3 + 
       (5*s[77])/4 + (5*s[78])/3 - 101*s[79] + (323*s[80])/12 - 
       (431*s[82])/3 - (7*s[83])/4 - (107*s[84])/2 - 40*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*
      (23*s[2] - (137*s[3])/2 + 10*s[4] - (3545*s[5])/44 + (1959*s[6])/44 - 
       (722233*s[7])/792 - (5047*s[8])/99 + (7024*s[9])/9 + 
       (29327*s[10])/36 + (29841*s[11])/44 + (28775*s[12])/132 - 
       (37993*s[13])/198 + (42897*s[14])/44 + (181987*s[15])/72 + 
       (1832579*s[16])/792 + (1239173*s[17])/396 - (2191*s[18])/36 + 
       747*s[19] + (307057*s[20])/99 + (300815*s[21])/297 - 
       (512939*s[22])/1188 + (1648841*s[23])/792 - (4833373*s[24])/2376 + 
       (6138065*s[25])/10692 - (2776969*s[26])/5346 + 2*s[27] + 19*s[31] - 
       3*s[32] + (23*s[33])/4 - 36*s[34] - 6*s[35] + (19*s[36])/6 + 
       27*s[37] + 68*s[38] - (2811*s[39])/8 + (7733*s[40])/24 - 
       (1903*s[41])/8 + (13453*s[42])/24 + (14695*s[43])/264 - 
       (65669*s[44])/528 - (2026*s[45])/11 - (15337*s[46])/264 + 
       (634357*s[47])/1584 - (652973*s[48])/1584 - (200623*s[49])/1584 - 
       (14875*s[50])/33 + (669155*s[51])/1584 + (672911*s[52])/1584 + 
       (302017*s[53])/792 + (46097*s[54])/66 + (1814399*s[55])/528 - 
       (465517*s[56])/1584 + (10531723*s[57])/1188 - (36533495*s[58])/14256 + 
       (26648777*s[59])/14256 - (56575223*s[60])/9504 + 
       (3426091*s[61])/128304 - 4*s[62] - 2*s[66] + 2*s[67] + 9*s[68] + 
       s[69] - 6*s[70] - 2*s[71] + 6*s[72] + 2*s[73] - (13*s[74])/2 + 
       (13*s[75])/2 - 17*s[76] + 10*s[77] + 17*s[78] - 28*s[79] + 30*s[80] - 
       380*s[82] - 3*s[83] + 18*s[84] - 40*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-65*s[2])/9 - (53*s[3])/3 - (86485*s[4])/144 - (1041401*s[5])/3168 - 
       (3182605*s[6])/3168 - (509747707*s[7])/57024 + (2105581*s[8])/2673 + 
       (29008769*s[9])/3888 + (548476*s[10])/243 + (566139191*s[11])/57024 + 
       (315235241*s[12])/28512 + (380874913*s[13])/57024 + 
       (41368385*s[14])/57024 + (59803991*s[15])/5184 + 
       (212599759*s[16])/14256 + (69783931*s[17])/6336 + 
       (37841195*s[18])/23328 + (30555337*s[19])/23328 + 
       (1110644671*s[20])/64152 + (3129688451*s[21])/513216 - 
       (2410701499*s[22])/513216 - (158575805*s[23])/14256 - 
       (618146489*s[24])/64152 + (59357599349*s[25])/4618944 - 
       (31523898551*s[26])/4618944 - s[28]/8 - s[29]/2 - (119*s[30])/36 - 
       (121*s[31])/36 + (19*s[32])/72 + (413*s[33])/72 + (31*s[34])/4 + 
       (139*s[35])/18 + (3107*s[36])/108 - (3701*s[37])/144 - 
       (10793*s[38])/36 + (89669*s[39])/72 - (300811*s[40])/216 + 
       (26335*s[41])/24 - (388001*s[42])/216 - (2663615*s[43])/2376 + 
       (11416907*s[44])/9504 - (1265159*s[45])/1056 + (92908697*s[46])/9504 - 
       (10213723*s[47])/28512 - (7583359*s[48])/28512 + 
       (147077203*s[49])/28512 - (35666359*s[50])/4752 - 
       (34223597*s[51])/28512 - (27437255*s[52])/28512 + 
       (148202299*s[53])/28512 - (401941*s[54])/2376 + 
       (310041595*s[55])/9504 + (245232019*s[56])/28512 - 
       (370994183*s[57])/42768 + (1929490471*s[58])/128304 - 
       (3913385843*s[59])/256608 - (6847360133*s[60])/85536 + 
       (19263263827*s[61])/4618944 - s[64]/4 + s[65]/8 + (5*s[66])/3 - 
       s[67]/6 + (4*s[68])/3 - (17*s[69])/3 + (25*s[70])/12 + s[71]/6 - 
       (25*s[72])/3 - s[73]/18 + (55*s[74])/9 - (229*s[75])/36 + 
       (149*s[76])/12 - (41*s[77])/36 - (245*s[78])/18 - (1951*s[79])/18 + 
       (1957*s[80])/72 - (659*s[82])/3 - (49*s[83])/12 - 37*s[84] - 
       39*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*(-2*s[2] - (59*s[3])/3 - (1093*s[4])/48 - 
       (23635*s[5])/176 - (103283*s[6])/528 - (8398565*s[7])/4752 + 
       (68425*s[8])/891 + (1976663*s[9])/1296 + (832777*s[10])/1296 + 
       (542354*s[11])/297 + (16886795*s[12])/9504 + (1545083*s[13])/1584 + 
       (3196697*s[14])/4752 + (21655*s[15])/8 + (631223*s[16])/198 + 
       (3527941*s[17])/1188 + (2580167*s[18])/7776 + (2622073*s[19])/7776 + 
       (86033281*s[20])/21384 + (33863845*s[21])/21384 - 
       (78247217*s[22])/85536 - (1500577*s[23])/1584 - 
       (184187921*s[24])/85536 + (1625172925*s[25])/769824 - 
       (526771757*s[26])/384912 - (5*s[30])/12 + s[31]/6 + s[32]/8 - 
       (4*s[33])/3 - (25*s[34])/6 - (17*s[35])/3 - (281*s[36])/72 + 
       (761*s[37])/72 - (169*s[38])/8 + (7951*s[39])/96 - (28633*s[40])/288 + 
       (2535*s[41])/32 - (30155*s[42])/288 - (438791*s[43])/3168 + 
       (11632*s[44])/99 - (27254*s[45])/99 + (1664519*s[46])/1056 + 
       (146965*s[47])/4752 - (1003135*s[48])/9504 + (2922905*s[49])/4752 - 
       (124210*s[50])/99 - (493013*s[51])/9504 - (371213*s[52])/9504 + 
       (1004525*s[53])/1056 + (8399*s[54])/264 + (6693299*s[55])/1056 + 
       (7275013*s[56])/4752 + (20619013*s[57])/28512 + 
       (165118075*s[58])/85536 - (180170017*s[59])/85536 - 
       (196587409*s[60])/14256 + (629244307*s[61])/769824 - s[66] + s[67] - 
       (5*s[68])/6 + (11*s[69])/6 + (5*s[70])/3 - s[71]/24 + s[72]/3 - 
       2*s[73] - (13*s[74])/12 + (13*s[75])/12 + (2*s[76])/3 - (8*s[77])/3 + 
       s[78]/3 + (5*s[79])/2 - (31*s[80])/36 - 209*s[82] - 8*s[84] - 
       38*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*((-5*s[2])/12 - (435*s[3])/8 + (3049*s[4])/48 - 
       (6377*s[5])/88 - (14963*s[6])/264 - (7016347*s[7])/9504 - 
       (103165*s[8])/1782 + (790343*s[9])/1296 + (373577*s[10])/648 + 
       (387769*s[11])/594 + (3640475*s[12])/9504 + (375763*s[13])/3168 + 
       (6743335*s[14])/9504 + (429031*s[15])/288 + (1290569*s[16])/792 + 
       (9614071*s[17])/4752 + (72127*s[18])/972 + (1539611*s[19])/3888 + 
       (94398305*s[20])/42768 + (68738023*s[21])/85536 - 
       (29982563*s[22])/85536 + (3773305*s[23])/3168 - 
       (116916923*s[24])/85536 + (458470213*s[25])/769824 - 
       (376607491*s[26])/769824 + (25*s[30])/6 + (10*s[31])/3 + (4*s[32])/3 + 
       (11*s[33])/2 - (21*s[34])/2 - (77*s[35])/6 - (35*s[36])/3 + 
       (135*s[37])/4 + (125*s[38])/3 - (1783*s[39])/8 + (4469*s[40])/24 - 
       (963*s[41])/8 + (9197*s[42])/24 - (26275*s[43])/264 + 
       (8941*s[44])/264 - (21583*s[45])/44 + (157865*s[46])/88 + 
       (603479*s[47])/1584 - (1000981*s[48])/1584 + (416129*s[49])/792 - 
       (448517*s[50])/264 + (36893*s[51])/132 + (56723*s[52])/198 + 
       (1052795*s[53])/792 + (49283*s[54])/88 + (5039689*s[55])/528 + 
       (337847*s[56])/198 + (4405393*s[57])/594 + (2694721*s[58])/7128 - 
       (3055889*s[59])/3564 - (46497571*s[60])/2376 + 
       (146690189*s[61])/128304 - 2*s[66] + 2*s[67] + 3*s[68] - 
       (13*s[70])/3 + (3*s[71])/2 + (17*s[72])/3 - s[73] - (49*s[74])/12 + 
       (55*s[75])/12 - (23*s[76])/3 + (23*s[77])/6 + (40*s[78])/3 + 
       40*s[79] - (43*s[80])/3 - (701*s[82])/2 + s[83]/4 - (7*s[84])/2 - 
       38*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - w]*
      ((-103*s[2])/36 - (503*s[3])/36 + (385*s[4])/36 - (11375*s[5])/264 - 
       (291815*s[6])/3168 - (724117*s[7])/1056 + (729385*s[8])/85536 + 
       (4333283*s[9])/7776 + (626245*s[10])/1944 + (39379273*s[11])/57024 + 
       (35582897*s[12])/57024 + (4994059*s[13])/14256 + 
       (10911749*s[14])/28512 + (2873599*s[15])/2592 + (1165162*s[16])/891 + 
       (78048055*s[17])/57024 + (1635553*s[18])/23328 + 
       (5478761*s[19])/23328 + (416931353*s[20])/256608 + 
       (77309569*s[21])/128304 - (43599071*s[22])/128304 + 
       (12541117*s[23])/57024 - (536450591*s[24])/513216 + 
       (3589444747*s[25])/4618944 - (2317331521*s[26])/4618944 + 
       (17*s[30])/18 + s[31]/9 - s[32]/18 + (5*s[33])/72 - (59*s[34])/18 - 
       (52*s[35])/9 - (259*s[36])/54 + (661*s[37])/108 + (83*s[38])/6 - 
       (202*s[39])/3 + (1406*s[40])/27 - (505*s[41])/12 + (3235*s[42])/27 - 
       (34405*s[43])/594 + (5546*s[44])/297 - (107161*s[45])/594 + 
       (209527*s[46])/297 + (3470977*s[47])/28512 - (6842381*s[48])/28512 + 
       (6494333*s[49])/28512 - (2812751*s[50])/4752 + (3213149*s[51])/28512 + 
       (626105*s[52])/7128 + (867589*s[53])/1782 + (216947*s[54])/2376 + 
       (11124983*s[55])/3168 + (7222433*s[56])/9504 + (8621245*s[57])/3564 + 
       (2656651*s[58])/9504 - (12973751*s[59])/28512 - 
       (1267492235*s[60])/171072 + (21396541*s[61])/48114 + s[72]/9 - 
       s[73]/9 - (5*s[74])/3 + (5*s[75])/3 - s[76]/18 - s[77]/18 + s[78]/9 + 
       (22*s[79])/3 + (53*s[80])/27 - (2251*s[82])/12 + (2*s[84])/3 - 
       (110*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*M1[w, u, v]*
      (-3*s[2] - (31*s[3])/2 + (17*s[4])/2 - (1521*s[5])/22 - 
       (9555*s[6])/88 - (80877*s[7])/88 + (6541*s[8])/264 + (18719*s[9])/24 + 
       (4949*s[10])/12 + (163169*s[11])/176 + (149359*s[12])/176 + 
       (19457*s[13])/44 + (10667*s[14])/22 + (11865*s[15])/8 + 
       (38431*s[16])/22 + (307765*s[17])/176 + (1475*s[18])/9 + 
       (1996*s[19])/9 + (442883*s[20])/198 + (690419*s[21])/792 - 
       (369337*s[22])/792 - (10013*s[23])/176 - (1939187*s[24])/1584 + 
       (14500135*s[25])/14256 - (9942301*s[26])/14256 + s[30] - s[32]/2 - 
       (3*s[33])/2 - 3*s[34] - 6*s[35] - 4*s[36] + (29*s[37])/2 + 7*s[38] - 
       26*s[39] + 16*s[40] - (9*s[41])/2 + 55*s[42] - (1393*s[43])/22 + 
       (3787*s[44])/88 - (4351*s[45])/22 + (10346*s[46])/11 + 
       (6043*s[47])/66 - (12833*s[48])/66 + (85169*s[49])/264 - 
       (35679*s[50])/44 + (13253*s[51])/264 + (16205*s[52])/264 + 
       (27171*s[53])/44 + (6211*s[54])/44 + (282445*s[55])/66 + 
       (250369*s[56])/264 + (197467*s[57])/99 + (1692719*s[58])/2376 - 
       (2019113*s[59])/2376 - (14445401*s[60])/1584 + 
       (12023555*s[61])/21384 - 2*s[70] - s[74] + s[75] + 2*s[77] + 
       12*s[79] - 2*s[80] - 195*s[82] - 36*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-5*s[2])/2 + (475*s[3])/8 - (8295*s[4])/16 - (3352*s[5])/11 - 
       (151189*s[6])/176 - (25683067*s[7])/3168 + (310381*s[8])/528 + 
       (55271*s[9])/8 + (54923*s[10])/24 + (9527149*s[11])/1056 + 
       (864049*s[12])/88 + (19263785*s[13])/3168 + (975097*s[14])/1056 + 
       (3098953*s[15])/288 + (21882061*s[16])/1584 + (33616837*s[17])/3168 + 
       (261983*s[18])/216 + (665231*s[19])/432 + (76107335*s[20])/4752 + 
       (54796547*s[21])/9504 - (13753853*s[22])/3168 - 
       (12874379*s[23])/1584 - (1641747*s[24])/176 + (122848675*s[25])/
        10692 - (132687977*s[26])/21384 - 2*s[30] + 4*s[31] - s[32] + 
       (39*s[33])/4 - (13*s[34])/2 + 21*s[35] + (697*s[36])/12 + 
       (223*s[37])/12 - (1493*s[38])/4 + (20711*s[39])/16 - 
       (69001*s[40])/48 + (19461*s[41])/16 - (85811*s[42])/48 - 
       (709523*s[43])/528 + (1443421*s[44])/1056 - (175121*s[45])/132 + 
       (5659585*s[46])/528 - (391811*s[47])/3168 - (2222849*s[48])/3168 + 
       (19863641*s[49])/3168 - (1131059*s[50])/132 - (3628237*s[51])/3168 - 
       (2849575*s[52])/3168 + (9067499*s[53])/1584 + (254939*s[54])/264 + 
       (12907669*s[55])/352 + (9141089*s[56])/1056 - (2517881*s[57])/396 + 
       (5491437*s[58])/352 - (51776291*s[59])/3168 - (1749689327*s[60])/
        19008 + (358078405*s[61])/85536 - (3*s[62])/4 + 6*s[66] - 6*s[67] + 
       9*s[68] - 21*s[69] - (21*s[70])/2 + (15*s[71])/4 - 6*s[72] + 2*s[73] + 
       (39*s[74])/4 - (39*s[75])/4 - 6*s[76] + (29*s[77])/2 - 7*s[78] - 
       96*s[79] - (95*s[80])/6 + 96*s[82] - 6*s[83] - 72*s[84] - 36*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Omega2[u, v, w]*
      ((-41*s[2])/12 - (493*s[3])/24 - (21967*s[4])/48 - (92269*s[5])/264 - 
       (465743*s[6])/528 - (74540855*s[7])/9504 + (988441*s[8])/1584 + 
       (59521*s[9])/9 + (19360*s[10])/9 + (27124331*s[11])/3168 + 
       (306304*s[12])/33 + (52582771*s[13])/9504 + (3860207*s[14])/3168 + 
       (9151769*s[15])/864 + (7939465*s[16])/594 + (99873119*s[17])/9504 + 
       (115733*s[18])/81 + (1548715*s[19])/1296 + (225764959*s[20])/14256 + 
       (163985221*s[21])/28512 - (39142415*s[22])/9504 - 
       (5121899*s[23])/594 - (20637643*s[24])/2376 + (1389408089*s[25])/
        128304 - (772557089*s[26])/128304 - (5*s[30])/6 + (2*s[31])/3 + 
       (4*s[32])/3 + (5*s[33])/2 - (29*s[34])/6 + (9*s[35])/2 + 
       (277*s[36])/18 - (877*s[37])/36 - (1415*s[38])/6 + 1008*s[39] - 
       (20863*s[40])/18 + (10987*s[41])/12 - (26447*s[42])/18 - 
       (91006*s[43])/99 + (1564477*s[44])/1584 - (848009*s[45])/792 + 
       (6625459*s[46])/792 - (1410743*s[47])/4752 - (1004975*s[48])/4752 + 
       (19875725*s[49])/4752 - (640492*s[50])/99 - (4785247*s[51])/4752 - 
       (3777901*s[52])/4752 + (2667407*s[53])/594 - (40301*s[54])/198 + 
       (15120907*s[55])/528 + (12037753*s[56])/1584 - (5399215*s[57])/792 + 
       (183243373*s[58])/14256 - (186064519*s[59])/14256 - 
       (1967494553*s[60])/28512 + (473439071*s[61])/128304 + s[68] - s[69] + 
       s[70] - 3*s[72] + s[73]/3 + (15*s[74])/4 - (15*s[75])/4 + s[76] + 
       (7*s[77])/6 - (5*s[78])/3 - 128*s[79] + (755*s[80])/18 - 200*s[82] - 
       s[83] - 42*s[84] - 36*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      Omega2[w, u, v]*((-15*s[2])/4 - (217*s[3])/24 - (21485*s[4])/48 - 
       (40831*s[5])/132 - (428015*s[6])/528 - (69148247*s[7])/9504 + 
       (2864327*s[8])/4752 + (165787*s[9])/27 + (410311*s[10])/216 + 
       (25319959*s[11])/3168 + (6940909*s[12])/792 + (50060947*s[13])/9504 + 
       (2936419*s[14])/3168 + (8321945*s[15])/864 + (29100991*s[16])/2376 + 
       (89131043*s[17])/9504 + (434209*s[18])/324 + (1348487*s[19])/1296 + 
       (206174063*s[20])/14256 + (49587583*s[21])/9504 - 
       (109313521*s[22])/28512 - (20311121*s[23])/2376 - 
       (7052042*s[24])/891 + (436017349*s[25])/42768 - 
       (239125105*s[26])/42768 - (5*s[30])/3 - (5*s[31])/3 + (3*s[32])/2 + 
       s[33]/8 + (5*s[34])/3 + (9*s[35])/2 + (277*s[36])/18 - 
       (877*s[37])/36 - (1415*s[38])/6 + 1008*s[39] - (20863*s[40])/18 + 
       (10987*s[41])/12 - (26447*s[42])/18 - (91006*s[43])/99 + 
       (1564477*s[44])/1584 - (848009*s[45])/792 + (6625459*s[46])/792 - 
       (1410743*s[47])/4752 - (1004975*s[48])/4752 + (19875725*s[49])/4752 - 
       (640492*s[50])/99 - (4785247*s[51])/4752 - (3777901*s[52])/4752 + 
       (2667407*s[53])/594 - (40301*s[54])/198 + (15120907*s[55])/528 + 
       (12037753*s[56])/1584 - (5399215*s[57])/792 + (183243373*s[58])/
        14256 - (186064519*s[59])/14256 - (1967494553*s[60])/28512 + 
       (473439071*s[61])/128304 + s[68] - s[69] + s[70] - 3*s[72] + s[73]/3 + 
       (15*s[74])/4 - (15*s[75])/4 + s[76] + (7*s[77])/6 - (5*s[78])/3 - 
       128*s[79] + (755*s[80])/18 - 200*s[82] - s[83] - 42*s[84] - 
       36*s[85]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((-161*s[2])/36 + (23*s[3])/72 - (21763*s[4])/36 - 
       (1242433*s[5])/3168 - (102199*s[6])/99 - (179263861*s[7])/19008 + 
       (22160705*s[8])/28512 + (20623741*s[9])/2592 + (786877*s[10])/324 + 
       (99033199*s[11])/9504 + (218307313*s[12])/19008 + 
       (132650431*s[13])/19008 + (19212383*s[14])/19008 + 
       (21369713*s[15])/1728 + (150110891*s[16])/9504 + (6296567*s[17])/528 + 
       (12890021*s[18])/7776 + (11198035*s[19])/7776 + 
       (791445179*s[20])/42768 + (1130641115*s[21])/171072 - 
       (850645771*s[22])/171072 - (208912661*s[23])/19008 - 
       (1776206101*s[24])/171072 + (643880365*s[25])/48114 - 
       (2781139565*s[26])/384912 + (143*s[30])/36 - (13*s[31])/18 - 
       (47*s[32])/72 + (593*s[33])/144 + (29*s[34])/36 + (175*s[35])/18 + 
       (53*s[36])/2 - (4159*s[37])/144 - (2823*s[38])/8 + (12248*s[39])/9 - 
       (13841*s[40])/9 + (174541*s[41])/144 - (93077*s[42])/48 - 
       (124225*s[43])/99 + (8237953*s[44])/6336 - (489867*s[45])/352 + 
       (11517475*s[46])/1056 - (7164857*s[47])/19008 - 
       (5749817*s[48])/19008 + (106703255*s[49])/19008 - 
       (13320679*s[50])/1584 - (25370989*s[51])/19008 - 
       (20720881*s[52])/19008 + (55070255*s[53])/9504 - (23704*s[54])/99 + 
       (701235973*s[55])/19008 + (61491395*s[56])/6336 - 
       (28839671*s[57])/3168 + (958075333*s[58])/57024 - 
       (973358581*s[59])/57024 - (10290552743*s[60])/114048 + 
       (1203883975*s[61])/256608 + s[62]/4 - (5*s[66])/6 + (5*s[67])/6 + 
       (29*s[68])/6 - (2*s[69])/3 - s[70] + (19*s[71])/24 - (28*s[72])/9 + 
       (157*s[74])/36 - (157*s[75])/36 + (22*s[76])/9 + (9*s[77])/2 + 
       (35*s[78])/18 - (863*s[79])/6 + (275*s[80])/8 - (97*s[82])/2 - 
       s[83]/6 - (325*s[84])/6 - (107*s[85])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((-71*s[2])/48 - (9509*s[3])/288 - (15497*s[4])/192 - 
       (95131*s[5])/792 - (551519*s[6])/2112 - (27638213*s[7])/12672 + 
       (24861985*s[8])/171072 + (6982301*s[9])/3888 + (2816323*s[10])/3888 + 
       (263152195*s[11])/114048 + (68317655*s[12])/28512 + 
       (150734473*s[13])/114048 + (74067859*s[14])/114048 + 
       (32398583*s[15])/10368 + (27271195*s[16])/7128 + 
       (373716073*s[17])/114048 + (5923645*s[18])/11664 + 
       (13917773*s[19])/46656 + (2454901829*s[20])/513216 + 
       (1895571085*s[21])/1026432 - (1136592449*s[22])/1026432 - 
       (54422981*s[23])/28512 - (317351437*s[24])/128304 + 
       (6348556015*s[25])/2309472 - (3958882603*s[26])/2309472 + 
       (115*s[30])/72 + s[31] - (19*s[32])/72 + (247*s[33])/144 - 
       (433*s[34])/72 - (623*s[35])/72 + (133*s[36])/72 + (817*s[37])/108 - 
       (313*s[38])/18 + (5797*s[39])/48 - (20885*s[40])/144 + 
       (17045*s[41])/144 - (11981*s[42])/72 - (256775*s[43])/1584 + 
       (540311*s[44])/3168 - (1619807*s[45])/4752 + (5015683*s[46])/2376 + 
       (22181*s[47])/1188 - (374507*s[48])/2376 + (434003*s[49])/594 - 
       (287703*s[50])/176 - (173887*s[51])/1584 - (922213*s[52])/9504 + 
       (34228943*s[53])/28512 - (503005*s[54])/4752 + (19008457*s[55])/2376 + 
       (31948937*s[56])/14256 + (16733083*s[57])/42768 + 
       (712182395*s[58])/256608 - (176868905*s[59])/64152 - 
       (501880523*s[60])/28512 + (5501210581*s[61])/4618944 - s[68]/6 - 
       s[69]/12 + s[70]/4 - (23*s[71])/24 - (7*s[72])/12 - (25*s[73])/12 - 
       (17*s[74])/144 + (17*s[75])/144 - (17*s[76])/12 - (29*s[77])/72 + 
       (7*s[78])/36 + (143*s[79])/18 + (170*s[80])/27 - (1177*s[82])/6 + 
       s[83]/4 - (29*s[84])/2 - (106*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - v]*
      ((-15*s[2])/4 - (305*s[3])/24 - (10429*s[4])/48 - (197077*s[5])/1056 - 
       (298981*s[6])/704 - (390958*s[7])/99 + (17223871*s[8])/57024 + 
       (17345081*s[9])/5184 + (1430545*s[10])/1296 + (163828993*s[11])/
        38016 + (177128783*s[12])/38016 + (52237487*s[13])/19008 + 
       (5884771*s[14])/9504 + (1538849*s[15])/288 + (31940525*s[16])/4752 + 
       (201332983*s[17])/38016 + (11597839*s[18])/15552 + 
       (9279311*s[19])/15552 + (1375024151*s[20])/171072 + 
       (501291401*s[21])/171072 - (355217023*s[22])/171072 - 
       (164813021*s[23])/38016 - (1490422253*s[24])/342144 + 
       (16695139435*s[25])/3079296 - (9326933053*s[26])/3079296 - s[30]/3 - 
       s[31] + (5*s[32])/24 + s[33]/48 - (5*s[34])/12 + (11*s[35])/48 + 
       (379*s[36])/48 - (373*s[37])/72 - (9503*s[38])/72 + 
       (149347*s[39])/288 - (170347*s[40])/288 + (44779*s[41])/96 - 
       (212777*s[42])/288 - (1564789*s[43])/3168 + (366011*s[44])/704 - 
       (327793*s[45])/528 + (14519179*s[46])/3168 - (420455*s[47])/3168 - 
       (121127*s[48])/792 + (225274*s[49])/99 - (11367709*s[50])/3168 - 
       (4878469*s[51])/9504 - (2490791*s[52])/6336 + (23790245*s[53])/9504 + 
       (46493*s[54])/1584 + (12649145*s[55])/792 + (19370537*s[56])/4752 - 
       (40948961*s[57])/14256 + (290456587*s[58])/42768 - 
       (297183583*s[59])/42768 - (363999983*s[60])/9504 + 
       (3132947377*s[61])/1539648 + s[68]/2 - s[69]/2 - s[70]/2 + 
       (3*s[71])/8 - 2*s[72] + (11*s[74])/6 - (11*s[75])/6 + 2*s[76] + 
       (7*s[77])/6 - (7*s[78])/6 - (295*s[79])/6 + (223*s[80])/18 - 
       126*s[82] - 24*s[84] - 34*s[85]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*((-559*s[2])/72 - 
       (59*s[3])/144 - (153347*s[4])/288 - (1049393*s[5])/3168 - 
       (2761457*s[6])/3168 - (229716425*s[7])/28512 + (4889015*s[8])/7128 + 
       (17660611*s[9])/2592 + (1291955*s[10])/648 + (6303945*s[11])/704 + 
       (189016675*s[12])/19008 + (172281559*s[13])/28512 + 
       (242233*s[14])/352 + (3376105*s[15])/324 + (191228129*s[16])/14256 + 
       (566194969*s[17])/57024 + (1900567*s[18])/1296 + (36581*s[19])/32 + 
       (223434329*s[20])/14256 + (239813587*s[21])/42768 - 
       (45605611*s[22])/10692 - (575530657*s[23])/57024 - 
       (1479205483*s[24])/171072 + (8881253387*s[25])/769824 - 
       (4762854737*s[26])/769824 - (29*s[30])/18 - (89*s[31])/18 + 
       (65*s[32])/72 - (53*s[33])/24 + (347*s[34])/36 + (73*s[35])/12 + 
       (632*s[36])/27 - (10729*s[37])/432 - (23513*s[38])/72 + 
       (20339*s[39])/16 - (610769*s[40])/432 + (19895*s[41])/18 - 
       (196891*s[42])/108 - (5259679*s[43])/4752 + (11223329*s[44])/9504 - 
       (11343047*s[45])/9504 + (91451131*s[46])/9504 - (746443*s[47])/1782 - 
       (2048009*s[48])/14256 + (35971369*s[49])/7128 - 
       (35125621*s[50])/4752 - (8911499*s[51])/7128 - 
       (28812035*s[52])/28512 + (144111905*s[53])/28512 - 
       (381823*s[54])/4752 + (25307783*s[55])/792 + (39988067*s[56])/4752 - 
       (138002377*s[57])/14256 + (434914561*s[58])/28512 - 
       (109918517*s[59])/7128 - (13476181825*s[60])/171072 + 
       (6248672659*s[61])/1539648 + (5*s[66])/6 - (5*s[67])/6 + s[68]/3 - 
       (3*s[69])/2 - s[70]/6 + (7*s[71])/8 - (37*s[72])/6 + (35*s[73])/18 + 
       (143*s[74])/24 - (143*s[75])/24 + (22*s[76])/3 + (35*s[77])/36 - 
       (121*s[78])/18 - (689*s[79])/6 + (4613*s[80])/216 - (377*s[82])/6 + 
       (2*s[83])/3 - (103*s[84])/2 - (101*s[85])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-8*s[2])/3 - 18*s[3] + 35*s[4] - (1933*s[5])/66 - (5953*s[6])/132 - 
       (676763*s[7])/2376 - (19768*s[8])/891 + (17719*s[9])/81 + 
       (71621*s[10])/324 + (324679*s[11])/1188 + (453355*s[12])/2376 + 
       (44045*s[13])/792 + (776939*s[14])/2376 + (4235*s[15])/8 + 
       (247529*s[16])/396 + (450427*s[17])/594 + (32623*s[18])/486 + 
       (105877*s[19])/972 + (4759823*s[20])/5346 + (7952183*s[21])/21384 - 
       (2761849*s[22])/21384 + (359963*s[23])/792 - (11442967*s[24])/21384 + 
       (41849831*s[25])/192456 - (44249123*s[26])/192456 + (8*s[30])/3 - 
       (8*s[34])/3 - (32*s[35])/3 - (47*s[36])/9 + (206*s[37])/9 + 24*s[38] - 
       (302*s[39])/3 + (890*s[40])/9 - (230*s[41])/3 + (1501*s[42])/9 + 
       (2194*s[43])/99 - (9085*s[44])/396 - (10177*s[45])/99 + 
       (8233*s[46])/33 + (31883*s[47])/297 - (51838*s[48])/297 - 
       (42641*s[49])/1188 - (49381*s[50])/198 + (145687*s[51])/1188 + 
       (127861*s[52])/1188 + (19142*s[53])/99 + (2747*s[54])/22 + 
       (53156*s[55])/33 + (440003*s[56])/1188 + (1740721*s[57])/891 - 
       (1729979*s[58])/10692 + (1708829*s[59])/10692 - 
       (22812043*s[60])/7128 + (28359373*s[61])/96228 - (4*s[74])/3 + 
       (4*s[75])/3 + (64*s[79])/3 - (32*s[80])/9 - 198*s[82] - 32*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((-8*s[2])/3 - 18*s[3] + 43*s[4] - (2503*s[5])/44 - (764*s[6])/11 - 
       (344807*s[7])/792 - (18707*s[8])/1188 + (39593*s[9])/108 + 
       (15083*s[10])/54 + (78577*s[11])/198 + (216611*s[12])/792 + 
       (69407*s[13])/792 + (367765*s[14])/792 + (19693*s[15])/24 + 
       (374485*s[16])/396 + (74639*s[17])/66 + (15689*s[18])/162 + 
       (10406*s[19])/81 + (4640621*s[20])/3564 + (3867295*s[21])/7128 - 
       (1486307*s[22])/7128 + (360077*s[23])/792 - (4909127*s[24])/7128 + 
       (10825061*s[25])/32076 - (10729661*s[26])/32076 - (8*s[33])/3 - 
       (16*s[34])/3 - (32*s[35])/3 - (56*s[36])/9 + (164*s[37])/9 + 
       24*s[38] - (290*s[39])/3 + (854*s[40])/9 - (218*s[41])/3 + 
       (1444*s[42])/9 + (997*s[43])/99 - (13745*s[44])/792 - 
       (26663*s[45])/198 + (27679*s[46])/66 + (276013*s[47])/2376 - 
       (403655*s[48])/2376 + (23207*s[49])/2376 - (78127*s[50])/198 + 
       (295607*s[51])/2376 + (262313*s[52])/2376 + (7167*s[53])/22 + 
       (3671*s[54])/33 + (1967425*s[55])/792 + (1269877*s[56])/2376 + 
       (8251261*s[57])/3564 - (838663*s[58])/21384 - (988499*s[59])/21384 - 
       (66690893*s[60])/14256 + (72843893*s[61])/192456 - (4*s[74])/3 + 
       (4*s[75])/3 + (64*s[79])/3 - (32*s[80])/9 - 197*s[82] - 32*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-8*s[2])/3 - 18*s[3] + 47*s[4] - (1238*s[5])/33 - (9001*s[6])/132 - 
       (46303*s[7])/198 - (31385*s[8])/1188 + (20339*s[9])/108 + 
       (9923*s[10])/54 + (167863*s[11])/792 + (107267*s[12])/792 + 
       (7087*s[13])/132 + (165401*s[14])/396 + (3542*s[15])/9 + 
       (35947*s[16])/66 + (538151*s[17])/792 + (6895*s[18])/81 + 
       (6907*s[19])/162 + (726776*s[20])/891 + (333746*s[21])/891 - 
       (188741*s[22])/1782 + (155105*s[23])/264 - (2889407*s[24])/7128 + 
       (7371799*s[25])/64152 - (12981301*s[26])/64152 - (8*s[33])/3 - 
       (16*s[34])/3 - (32*s[35])/3 - (47*s[36])/9 + (158*s[37])/9 + 
       24*s[38] - (302*s[39])/3 + (890*s[40])/9 - (230*s[41])/3 + 
       (1501*s[42])/9 + (1531*s[43])/99 - (2905*s[44])/99 - (9100*s[45])/99 + 
       (6613*s[46])/33 + (121877*s[47])/1188 - (240331*s[48])/1188 - 
       (25675*s[49])/594 - (33553*s[50])/198 + (79601*s[51])/594 + 
       (28735*s[52])/297 + (25955*s[53])/198 + (4513*s[54])/66 + 
       (168863*s[55])/132 + (117950*s[56])/297 + (3187097*s[57])/1782 - 
       (857641*s[58])/5346 + (1079725*s[59])/5346 - (2355446*s[60])/891 + 
       (13313513*s[61])/48114 - (4*s[74])/3 + (4*s[75])/3 + (64*s[79])/3 - 
       (32*s[80])/9 - 190*s[82] - 32*s[85]) + HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*((-8*s[2])/3 - 18*s[3] + 
       35*s[4] - (5251*s[5])/132 - (754*s[6])/11 - (965357*s[7])/2376 - 
       (63889*s[8])/3564 + (103969*s[9])/324 + (20432*s[10])/81 + 
       (459985*s[11])/1188 + (708469*s[12])/2376 + (101489*s[13])/792 + 
       (959909*s[14])/2376 + (51419*s[15])/72 + (81914*s[16])/99 + 
       (1139759*s[17])/1188 + (50083*s[18])/486 + (25684*s[19])/243 + 
       (12472087*s[20])/10692 + (10920923*s[21])/21384 - 
       (4038535*s[22])/21384 + (315323*s[23])/792 - (13727023*s[24])/21384 + 
       (7942813*s[25])/24057 - (16291373*s[26])/48114 + (8*s[30])/3 - 
       (8*s[34])/3 - (32*s[35])/3 - (56*s[36])/9 + (116*s[37])/9 + 24*s[38] - 
       (290*s[39])/3 + (854*s[40])/9 - (218*s[41])/3 + (1444*s[42])/9 + 
       (334*s[43])/99 - (18815*s[44])/792 - (24509*s[45])/198 + 
       (24439*s[46])/66 + (264703*s[47])/2376 - (469613*s[48])/2376 + 
       (5789*s[49])/2376 - (62299*s[50])/198 + (322637*s[51])/2376 + 
       (236471*s[52])/2376 + (26087*s[53])/99 + (1807*s[54])/33 + 
       (1704859*s[55])/792 + (1333471*s[56])/2376 + (7662571*s[57])/3564 - 
       (809269*s[58])/21384 - (87257*s[59])/21384 - (58753943*s[60])/14256 + 
       (69379199*s[61])/192456 - (4*s[74])/3 + (4*s[75])/3 + (64*s[79])/3 - 
       (32*s[80])/9 - 189*s[82] - 32*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1}, 1 - u]*((-8*s[2])/3 - 18*s[3] + 35*s[4] - 
       (3197*s[5])/66 - (5815*s[6])/44 - (198001*s[7])/396 - 
       (17075*s[8])/1188 + (43397*s[9])/108 + (14333*s[10])/54 + 
       (435643*s[11])/792 + (389585*s[12])/792 + (58931*s[13])/198 + 
       (45293*s[14])/99 + (9161*s[15])/12 + (204557*s[16])/198 + 
       (277265*s[17])/264 + (8248*s[18])/81 + (21157*s[19])/162 + 
       (2376271*s[20])/1782 + (2056409*s[21])/3564 - (875587*s[22])/3564 + 
       (207257*s[23])/792 - (5613977*s[24])/7128 + (35212747*s[25])/64152 - 
       (28314769*s[26])/64152 - (8*s[33])/3 - (16*s[34])/3 - (32*s[35])/3 - 
       (56*s[36])/9 + (137*s[37])/9 - (158*s[39])/3 + (458*s[40])/9 - 
       (158*s[41])/3 + (1069*s[42])/9 - (6179*s[43])/99 + (18353*s[44])/396 - 
       (10075*s[45])/99 + (17746*s[46])/33 + (44729*s[47])/297 - 
       (95422*s[48])/297 + (351799*s[49])/1188 - (76207*s[50])/198 + 
       (148471*s[51])/1188 + (113791*s[52])/1188 + (6579*s[53])/22 + 
       (9569*s[54])/66 + (74435*s[55])/33 + (702695*s[56])/1188 + 
       (1333759*s[57])/891 + (3462733*s[58])/10692 - (4141495*s[59])/10692 - 
       (40574935*s[60])/7128 + (34142989*s[61])/96228 - (4*s[74])/3 + 
       (4*s[75])/3 + (64*s[79])/3 - (32*s[80])/9 - 182*s[82] - 32*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      ((-8*s[2])/3 - 18*s[3] + 23*s[4] - (765*s[5])/22 - (15641*s[6])/132 - 
       (606697*s[7])/1188 - (34549*s[8])/3564 + (126955*s[9])/324 + 
       (43141*s[10])/162 + (1368089*s[11])/2376 + (1274839*s[12])/2376 + 
       (42877*s[13])/132 + (215405*s[14])/594 + (27755*s[15])/36 + 
       (200399*s[16])/198 + (2366905*s[17])/2376 + (32443*s[18])/486 + 
       (34882*s[19])/243 + (13715887*s[20])/10692 + (2921357*s[21])/5346 - 
       (2656175*s[22])/10692 + (39899*s[23])/264 - (17732887*s[24])/21384 + 
       (115487993*s[25])/192456 - (86176109*s[26])/192456 + (8*s[30])/3 - 
       (8*s[34])/3 - (32*s[35])/3 - (56*s[36])/9 + (137*s[37])/9 - 
       (158*s[39])/3 + (458*s[40])/9 - (158*s[41])/3 + (1069*s[42])/9 - 
       (6179*s[43])/99 + (18353*s[44])/396 - (10075*s[45])/99 + 
       (17746*s[46])/33 + (44729*s[47])/297 - (95422*s[48])/297 + 
       (351799*s[49])/1188 - (76207*s[50])/198 + (148471*s[51])/1188 + 
       (113791*s[52])/1188 + (6579*s[53])/22 + (9569*s[54])/66 + 
       (74435*s[55])/33 + (702695*s[56])/1188 + (1333759*s[57])/891 + 
       (3462733*s[58])/10692 - (4141495*s[59])/10692 - 
       (40574935*s[60])/7128 + (34142989*s[61])/96228 - (4*s[74])/3 + 
       (4*s[75])/3 + (64*s[79])/3 - (32*s[80])/9 - 182*s[82] - 32*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((-8*s[2])/3 - 18*s[3] + 47*s[4] - (343*s[5])/6 - (293*s[6])/4 - 
       (14531*s[7])/36 - (2377*s[8])/108 + (36917*s[9])/108 + 
       (14333*s[10])/54 + (25937*s[11])/72 + (16723*s[12])/72 + 
       (1345*s[13])/18 + (4363*s[14])/9 + (9257*s[15])/12 + 
       (15919*s[16])/18 + (26131*s[17])/24 + (7924*s[18])/81 + 
       (17917*s[19])/162 + (201533*s[20])/162 + (174379*s[21])/324 - 
       (61769*s[22])/324 + (37771*s[23])/72 - (415243*s[24])/648 + 
       (1635041*s[25])/5832 - (1871795*s[26])/5832 - (8*s[33])/3 - 
       (16*s[34])/3 - (64*s[35])/3 - (92*s[36])/9 + (137*s[37])/9 + 
       24*s[38] - (302*s[39])/3 + (890*s[40])/9 - (230*s[41])/3 + 
       (1501*s[42])/9 + (47*s[43])/9 - (845*s[44])/36 - (1181*s[45])/9 + 
       (1142*s[46])/3 + (3163*s[47])/27 - (5042*s[48])/27 + (485*s[49])/108 - 
       (6221*s[50])/18 + (14597*s[51])/108 + (11549*s[52])/108 + 
       (601*s[53])/2 + (547*s[54])/6 + (7009*s[55])/3 + (56341*s[56])/108 + 
       (192413*s[57])/81 - (103225*s[58])/972 + (13243*s[59])/972 - 
       (2810021*s[60])/648 + (3104183*s[61])/8748 - (4*s[74])/3 + 
       (4*s[75])/3 + (64*s[79])/3 - (32*s[80])/9 - 182*s[82] - 32*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((-8*s[2])/3 - 18*s[3] + 35*s[4] - (87*s[5])/2 - (715*s[6])/12 - 
       (44747*s[7])/108 - (5615*s[8])/324 + (107515*s[9])/324 + 
       (43141*s[10])/162 + (83371*s[11])/216 + (59813*s[12])/216 + 
       (1223*s[13])/12 + (21487*s[14])/54 + (28043*s[15])/36 + 
       (15541*s[16])/18 + (223499*s[17])/216 + (42163*s[18])/486 + 
       (32938*s[19])/243 + (1159949*s[20])/972 + (244135*s[21])/486 - 
       (187549*s[22])/972 + (9937*s[23])/24 - (1326725*s[24])/1944 + 
       (5872267*s[25])/17496 - (5705767*s[26])/17496 + (8*s[30])/3 - 
       (8*s[34])/3 - (64*s[35])/3 - (92*s[36])/9 + (137*s[37])/9 + 24*s[38] - 
       (302*s[39])/3 + (890*s[40])/9 - (230*s[41])/3 + (1501*s[42])/9 + 
       (47*s[43])/9 - (845*s[44])/36 - (1181*s[45])/9 + (1142*s[46])/3 + 
       (3163*s[47])/27 - (5042*s[48])/27 + (485*s[49])/108 - 
       (6221*s[50])/18 + (14597*s[51])/108 + (11549*s[52])/108 + 
       (601*s[53])/2 + (547*s[54])/6 + (7009*s[55])/3 + (56341*s[56])/108 + 
       (192413*s[57])/81 - (103225*s[58])/972 + (13243*s[59])/972 - 
       (2810021*s[60])/648 + (3104183*s[61])/8748 - (4*s[74])/3 + 
       (4*s[75])/3 + (64*s[79])/3 - (32*s[80])/9 - 182*s[82] - 32*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((-8*s[2])/3 - 18*s[3] + 47*s[4] - (4349*s[5])/66 - (3271*s[6])/44 - 
       (181873*s[7])/396 - (28883*s[8])/1188 + (42677*s[9])/108 + 
       (15989*s[10])/54 + (288619*s[11])/792 + (133553*s[12])/792 + 
       (6299*s[13])/198 + (53267*s[14])/99 + (11657*s[15])/12 + 
       (191597*s[16])/198 + (344081*s[17])/264 + (7240*s[18])/81 + 
       (24253*s[19])/162 + (2414251*s[20])/1782 + (1996937*s[21])/3564 - 
       (729643*s[22])/3564 + (554009*s[23])/792 - (5092697*s[24])/7128 + 
       (18841099*s[25])/64152 - (21125281*s[26])/64152 - (8*s[33])/3 - 
       (16*s[34])/3 - (32*s[35])/3 - (92*s[36])/9 + (137*s[37])/9 + 
       36*s[38] - (374*s[39])/3 + (1106*s[40])/9 - (266*s[41])/3 + 
       (1717*s[42])/9 + (2857*s[43])/99 - (25063*s[44])/396 - 
       (17095*s[45])/99 + (14506*s[46])/33 + (30797*s[47])/297 - 
       (34510*s[48])/297 - (170057*s[49])/1188 - (82039*s[50])/198 + 
       (148903*s[51])/1188 + (129991*s[52])/1188 + (8931*s[53])/22 - 
       (703*s[54])/66 + (99827*s[55])/33 + (769655*s[56])/1188 + 
       (2888635*s[57])/891 - (2968019*s[58])/10692 + (1581641*s[59])/10692 - 
       (33025735*s[60])/7128 + (41464741*s[61])/96228 - (4*s[74])/3 + 
       (4*s[75])/3 + (64*s[79])/3 - (32*s[80])/9 - 182*s[82] - 32*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((-8*s[2])/3 - 18*s[3] + 47*s[4] - (1677*s[5])/22 - (6425*s[6])/132 - 
       (624841*s[7])/1188 - (79477*s[8])/3564 + (147259*s[9])/324 + 
       (52429*s[10])/162 + (988793*s[11])/2376 + (530503*s[12])/2376 - 
       (1187*s[13])/132 + (336905*s[14])/594 + (37691*s[15])/36 + 
       (205655*s[16])/198 + (3248617*s[17])/2376 + (81259*s[18])/486 + 
       (24406*s[19])/243 + (17061079*s[20])/10692 + (3606725*s[21])/5346 - 
       (2579495*s[22])/10692 + (119051*s[23])/264 - (15280423*s[24])/21384 + 
       (58080809*s[25])/192456 - (73422605*s[26])/192456 + (8*s[30])/3 - 
       (8*s[34])/3 - (32*s[35])/3 - (92*s[36])/9 + (137*s[37])/9 + 36*s[38] - 
       (374*s[39])/3 + (1106*s[40])/9 - (266*s[41])/3 + (1717*s[42])/9 + 
       (2857*s[43])/99 - (25063*s[44])/396 - (17095*s[45])/99 + 
       (14506*s[46])/33 + (30797*s[47])/297 - (34510*s[48])/297 - 
       (170057*s[49])/1188 - (82039*s[50])/198 + (148903*s[51])/1188 + 
       (129991*s[52])/1188 + (8931*s[53])/22 - (703*s[54])/66 + 
       (99827*s[55])/33 + (769655*s[56])/1188 + (2888635*s[57])/891 - 
       (2968019*s[58])/10692 + (1581641*s[59])/10692 - 
       (33025735*s[60])/7128 + (41464741*s[61])/96228 - (4*s[74])/3 + 
       (4*s[75])/3 + (64*s[79])/3 - (32*s[80])/9 - 182*s[82] - 32*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-8*s[2])/3 - 18*s[3] + 35*s[4] - (1117*s[5])/22 - (9041*s[6])/132 - 
       (564523*s[7])/1188 - (55141*s[8])/3564 + (123787*s[9])/324 + 
       (46183*s[10])/162 + (1042181*s[11])/2376 + (775087*s[12])/2376 + 
       (5881*s[13])/44 + (129037*s[14])/297 + (31337*s[15])/36 + 
       (189773*s[16])/198 + (2692021*s[17])/2376 + (56869*s[18])/486 + 
       (30148*s[19])/243 + (14215243*s[20])/10692 + (1550026*s[21])/2673 - 
       (2390261*s[22])/10692 + (27321*s[23])/88 - (15223039*s[24])/21384 + 
       (74361413*s[25])/192456 - (73839521*s[26])/192456 + (8*s[30])/3 - 
       (8*s[34])/3 - (32*s[35])/3 - (56*s[36])/9 + (86*s[37])/9 + 22*s[38] - 
       (299*s[39])/3 + (881*s[40])/9 - (230*s[41])/3 + (1492*s[42])/9 - 
       (140*s[43])/99 - (8773*s[44])/396 - (14035*s[45])/99 + 
       (14512*s[46])/33 + (70549*s[47])/594 - (114713*s[48])/594 + 
       (10645*s[49])/1188 - (74821*s[50])/198 + (165697*s[51])/1188 + 
       (127849*s[52])/1188 + (21893*s[53])/66 + (4289*s[54])/66 + 
       (171145*s[55])/66 + (730613*s[56])/1188 + (2131501*s[57])/891 - 
       (131561*s[58])/10692 - (882217*s[59])/10692 - (33528709*s[60])/7128 + 
       (38405533*s[61])/96228 - (4*s[74])/3 + (4*s[75])/3 + (64*s[79])/3 - 
       (32*s[80])/9 - 176*s[82] - 32*s[85]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - w]*((-8*s[2])/3 - 18*s[3] + 
       30*s[4] - (1987*s[5])/33 - (9367*s[6])/88 - (442523*s[7])/792 - 
       (6007*s[8])/2376 + (99475*s[9])/216 + (30871*s[10])/108 + 
       (825953*s[11])/1584 + (654481*s[12])/1584 + (18286*s[13])/99 + 
       (389551*s[14])/792 + (70327*s[15])/72 + (446065*s[16])/396 + 
       (667333*s[17])/528 + (90041*s[18])/648 + (69265*s[19])/648 + 
       (10788097*s[20])/7128 + (1163407*s[21])/1782 - (469379*s[22])/1782 + 
       (396805*s[23])/1584 - (10896151*s[24])/14256 + 
       (62884979*s[25])/128304 - (58081481*s[26])/128304 - (8*s[33])/3 - 
       (16*s[34])/3 - (32*s[35])/3 - (56*s[36])/9 + (110*s[37])/9 + 
       (65*s[38])/3 - 83*s[39] + (731*s[40])/9 - (179*s[41])/3 + 
       (1228*s[42])/9 - (1028*s[43])/99 - (6667*s[44])/396 - 
       (15343*s[45])/99 + (18508*s[46])/33 + (252289*s[47])/2376 - 
       (411539*s[48])/2376 + (75173*s[49])/2376 - (182453*s[50])/396 + 
       (281693*s[51])/2376 + (101533*s[52])/1188 + (8747*s[53])/22 + 
       (1373*s[54])/66 + (790219*s[55])/264 + (1819075*s[56])/2376 + 
       (3847319*s[57])/1782 + (4709261*s[58])/21384 - (6529943*s[59])/21384 - 
       (77549987*s[60])/14256 + (11320579*s[61])/24057 - (4*s[74])/3 + 
       (4*s[75])/3 + (64*s[79])/3 - (32*s[80])/9 - 164*s[82] - 32*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - w]*
      ((-5*s[2])/3 - 18*s[3] + (827*s[4])/12 - (11279*s[5])/264 - 
       (11875*s[6])/264 - (4160*s[7])/99 - (44687*s[8])/792 + 
       (3023*s[9])/72 + (11101*s[10])/72 - (1082*s[11])/33 - 
       (23209*s[12])/132 - (74219*s[13])/396 + (20947*s[14])/44 + 
       (15259*s[15])/72 + (93175*s[16])/396 + (429163*s[17])/792 + 
       (6121*s[18])/72 - (17*s[19])/2 + (110621*s[20])/198 + 
       (742813*s[21])/2376 - (1685*s[22])/1188 + (611021*s[23])/792 - 
       (378823*s[24])/2376 - (10477243*s[25])/42768 - (2609081*s[26])/42768 + 
       s[31] + (13*s[33])/12 - (19*s[34])/3 - (32*s[35])/3 - (91*s[36])/18 + 
       (575*s[37])/36 + (209*s[38])/6 - (3383*s[39])/24 + (9937*s[40])/72 - 
       (2579*s[41])/24 + (15617*s[42])/72 + (44291*s[43])/792 - 
       (117463*s[44])/1584 - (57389*s[45])/792 - (1365*s[46])/44 + 
       (568325*s[47])/4752 - (798733*s[48])/4752 - (1193255*s[49])/4752 + 
       (965*s[50])/198 + (757291*s[51])/4752 + (542689*s[52])/4752 + 
       (4261*s[53])/132 - (169*s[54])/33 + (1007591*s[55])/1584 + 
       (1136087*s[56])/4752 + (7783063*s[57])/3564 - (24461645*s[58])/42768 + 
       (25612241*s[59])/42768 - (15934045*s[60])/28512 + 
       (39495725*s[61])/192456 - (4*s[74])/3 + (4*s[75])/3 - s[76] + 
       (64*s[79])/3 + (5*s[80])/18 - 162*s[82] - 32*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-8*s[2])/3 - 10*s[3] + (9*s[4])/2 - (1787*s[5])/22 - 
       (12229*s[6])/88 - (1253425*s[7])/1188 + (228763*s[8])/7128 + 
       (587345*s[9])/648 + (69463*s[10])/162 + (5084239*s[11])/4752 + 
       (4719617*s[12])/4752 + (148469*s[13])/264 + (152398*s[14])/297 + 
       (14734*s[15])/9 + (767083*s[16])/396 + (9081101*s[17])/4752 + 
       (386683*s[18])/1944 + (409937*s[19])/1944 + (52461281*s[20])/21384 + 
       (21314297*s[21])/21384 - (11556997*s[22])/21384 - (123083*s[23])/528 - 
       (57163895*s[24])/42768 + (459256447*s[25])/384912 - 
       (318225925*s[26])/384912 + (2*s[30])/3 - (8*s[34])/3 - 8*s[35] - 
       (5*s[36])/9 + (119*s[37])/9 + (11*s[38])/3 + (21*s[39])/2 - 
       (449*s[40])/18 + (185*s[41])/6 - (169*s[42])/18 - (16759*s[43])/198 + 
       (22919*s[44])/396 - (41021*s[45])/198 + (35824*s[46])/33 + 
       (157111*s[47])/2376 - (354257*s[48])/2376 + (887453*s[49])/2376 - 
       (355247*s[50])/396 + (19121*s[51])/2376 + (13303*s[52])/1188 + 
       (22972*s[53])/33 + (2008*s[54])/33 + (412971*s[55])/88 + 
       (2668735*s[56])/2376 + (2437373*s[57])/1782 + (23073701*s[58])/21384 - 
       (26445803*s[59])/21384 - (140609723*s[60])/14256 + 
       (60088357*s[61])/96228 - (4*s[74])/3 + (4*s[75])/3 + (16*s[79])/3 + 
       (10*s[80])/9 - 152*s[82] - 32*s[85]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - v]*((-8*s[2])/3 - (59*s[3])/4 + 
       (351*s[4])/8 - (247*s[5])/11 - (2791*s[6])/44 - (705175*s[7])/4752 - 
       (121477*s[8])/3564 + (65543*s[9])/648 + (25669*s[10])/162 + 
       (31480*s[11])/297 + (10331*s[12])/4752 - (19121*s[13])/528 + 
       (1676275*s[14])/4752 + (14969*s[15])/48 + (274277*s[16])/792 + 
       (164708*s[17])/297 + (136393*s[18])/1944 + (13445*s[19])/486 + 
       (6245551*s[20])/10692 + (12600571*s[21])/42768 - 
       (2265971*s[22])/42768 + (96339*s[23])/176 - (12726323*s[24])/42768 - 
       (2722355*s[25])/384912 - (55015291*s[26])/384912 + (5*s[30])/3 - 
       (8*s[34])/3 - (32*s[35])/3 - (91*s[36])/18 + (671*s[37])/36 + 
       (69*s[38])/2 - (2983*s[39])/24 + (8737*s[40])/72 - (2171*s[41])/24 + 
       (13505*s[42])/72 + (37187*s[43])/792 - (109039*s[44])/1584 - 
       (67853*s[45])/792 + (3963*s[46])/44 + (508511*s[47])/4752 - 
       (704107*s[48])/4752 - (1085489*s[49])/4752 - (30881*s[50])/396 + 
       (657889*s[51])/4752 + (437425*s[52])/4752 + (4319*s[53])/44 - 
       (1627*s[54])/33 + (1641425*s[55])/1584 + (1851785*s[56])/4752 + 
       (6951697*s[57])/3564 - (14516879*s[58])/42768 + 
       (16081223*s[59])/42768 - (36919183*s[60])/28512 + 
       (53249291*s[61])/192456 - (4*s[74])/3 + (4*s[75])/3 - s[76] + 
       (64*s[79])/3 + (5*s[80])/18 - 150*s[82] - 32*s[85]) + 
     HPL[{0, 0, 1}, 1 - v]*Omega2[v, w, u]*((-71*s[3])/2 - (1261*s[4])/4 - 
       (20393*s[5])/88 - (49757*s[6])/88 - (2062813*s[7])/396 + 
       (116329*s[8])/264 + (34787*s[9])/8 + (35221*s[10])/24 + 
       (371531*s[11])/66 + (265999*s[12])/44 + (349106*s[13])/99 + 
       (104815*s[14])/132 + (520655*s[15])/72 + (3548555*s[16])/396 + 
       (5721965*s[17])/792 + (204229*s[18])/216 + (45875*s[19])/54 + 
       (3139426*s[20])/297 + (8999539*s[21])/2376 - (535873*s[22])/198 - 
       (4569821*s[23])/792 - (1531921*s[24])/264 + (305088935*s[25])/42768 - 
       (168716651*s[26])/42768 - s[30] + 2*s[31] - (7*s[33])/2 - 6*s[34] + 
       5*s[35] + (35*s[36])/6 - (109*s[37])/12 - 144*s[38] + (5061*s[39])/8 - 
       (17339*s[40])/24 + (4617*s[41])/8 - (22135*s[42])/24 - 
       (159409*s[43])/264 + (336509*s[44])/528 - (208757*s[45])/264 + 
       (256483*s[46])/44 - (275071*s[47])/1584 - (254545*s[48])/1584 + 
       (4409629*s[49])/1584 - (303505*s[50])/66 - (999161*s[51])/1584 - 
       (734747*s[52])/1584 + (432679*s[53])/132 - (108*s[54])/11 + 
       (11008667*s[55])/528 + (8389691*s[56])/1584 - (3490103*s[57])/1188 + 
       (120139519*s[58])/14256 - (124279411*s[59])/14256 - 
       (462437929*s[60])/9504 + (169960211*s[61])/64152 + s[68] - 2*s[69] - 
       2*s[70] - 4*s[72] + 2*s[74] - 2*s[75] + 2*s[77] - 66*s[79] + 
       (155*s[80])/6 - 142*s[82] + 3*s[83] - 18*s[84] - 32*s[85]) + 
     HPL[{0, 0, 1}, 1 - w]*Omega2[v, w, u]*(-9*s[2] + (19*s[3])/4 - 
       (2015*s[4])/8 - (12797*s[5])/44 - (51217*s[6])/88 - 
       (2859613*s[7])/528 + (963235*s[8])/2376 + (124843*s[9])/27 + 
       (84925*s[10])/54 + (9258769*s[11])/1584 + (4912537*s[12])/792 + 
       (5793289*s[13])/1584 + (1657435*s[14])/1584 + (1078421*s[15])/144 + 
       (7378805*s[16])/792 + (12083443*s[17])/1584 + (316019*s[18])/324 + 
       (559835*s[19])/648 + (79476773*s[20])/7128 + (58615297*s[21])/14256 - 
       (40606061*s[22])/14256 - (527744*s[23])/99 - (21689669*s[24])/3564 + 
       (466534379*s[25])/64152 - (264524663*s[26])/64152 - 2*s[31] - s[32] + 
       (5*s[33])/4 + s[34] + 5*s[35] + (35*s[36])/6 - (109*s[37])/12 - 
       144*s[38] + (5061*s[39])/8 - (17339*s[40])/24 + (4617*s[41])/8 - 
       (22135*s[42])/24 - (159409*s[43])/264 + (336509*s[44])/528 - 
       (208757*s[45])/264 + (256483*s[46])/44 - (275071*s[47])/1584 - 
       (254545*s[48])/1584 + (4409629*s[49])/1584 - (303505*s[50])/66 - 
       (999161*s[51])/1584 - (734747*s[52])/1584 + (432679*s[53])/132 - 
       (108*s[54])/11 + (11008667*s[55])/528 + (8389691*s[56])/1584 - 
       (3490103*s[57])/1188 + (120139519*s[58])/14256 - 
       (124279411*s[59])/14256 - (462437929*s[60])/9504 + 
       (169960211*s[61])/64152 + s[68] - 2*s[69] - 2*s[70] - 4*s[72] + 
       2*s[74] - 2*s[75] + 2*s[77] - 66*s[79] + (155*s[80])/6 - 142*s[82] + 
       3*s[83] - 18*s[84] - 32*s[85]) + HPL[{0, 0, 1}, 1 - w]*Omega2[w, u, v]*
      (-9*s[2] - (15*s[3])/4 - (2877*s[4])/8 - (15603*s[5])/44 - 
       (66983*s[6])/88 - (3715451*s[7])/528 + (1271317*s[8])/2376 + 
       (161422*s[9])/27 + (107077*s[10])/54 + (12150931*s[11])/1584 + 
       (6526213*s[12])/792 + (7791559*s[13])/1584 + (1850317*s[14])/1584 + 
       (1382315*s[15])/144 + (9508079*s[16])/792 + (15174481*s[17])/1584 + 
       (400463*s[18])/324 + (741173*s[19])/648 + (101955323*s[20])/7128 + 
       (75156031*s[21])/14256 - (52823027*s[22])/14256 - 
       (2828789*s[23])/396 - (7057172*s[24])/891 + (616885721*s[25])/64152 - 
       (346782761*s[26])/64152 - 2*s[31] - s[32] + (5*s[33])/4 + s[34] + 
       5*s[35] + (89*s[36])/6 - (439*s[37])/12 - 234*s[38] + (7147*s[39])/8 - 
       (23573*s[40])/24 + (6055*s[41])/8 - (30361*s[42])/24 - 
       (218479*s[43])/264 + (434255*s[44])/528 - (245255*s[45])/264 + 
       (314915*s[46])/44 - (460069*s[47])/1584 - (207091*s[48])/1584 + 
       (5838463*s[49])/1584 - (362377*s[50])/66 - (1323947*s[51])/1584 - 
       (1083953*s[52])/1584 + (169101*s[53])/44 - (867*s[54])/11 + 
       (4290667*s[55])/176 + (9982601*s[56])/1584 - (6914711*s[57])/1188 + 
       (156537661*s[58])/14256 - (160466089*s[59])/14256 - 
       (562745587*s[60])/9504 + (195140465*s[61])/64152 - s[68] + 2*s[69] - 
       2*s[70] - 4*s[72] + 2*s[74] - 2*s[75] + 8*s[76] - 4*s[78] - 70*s[79] + 
       (65*s[80])/6 - 130*s[82] + 3*s[83] - 18*s[84] - 32*s[85]) + 
     HPL[{0, 0, 1}, 1 - v]*Omega2[u, v, w]*(-8*s[2] - (17*s[3])/2 - 
       (1541*s[4])/4 - (21579*s[5])/88 - (54319*s[6])/88 - 
       (1158995*s[7])/198 + (404957*s[8])/792 + (356485*s[9])/72 + 
       (102257*s[10])/72 + (71459*s[11])/11 + (475973*s[12])/66 + 
       (1741409*s[13])/396 + (9535*s[14])/22 + (549971*s[15])/72 + 
       (3853319*s[16])/396 + (5716919*s[17])/792 + (73433*s[18])/72 + 
       (2611*s[19])/3 + (1121795*s[20])/99 + (9543707*s[21])/2376 - 
       (3672637*s[22])/1188 - (5813861*s[23])/792 - (15035369*s[24])/2376 + 
       (360028693*s[25])/42768 - (191456497*s[26])/42768 - s[30] - 6*s[31] - 
       4*s[33] + 12*s[34] + 5*s[35] + (89*s[36])/6 - (439*s[37])/12 - 
       234*s[38] + (7147*s[39])/8 - (23573*s[40])/24 + (6055*s[41])/8 - 
       (30361*s[42])/24 - (218479*s[43])/264 + (434255*s[44])/528 - 
       (245255*s[45])/264 + (314915*s[46])/44 - (460069*s[47])/1584 - 
       (207091*s[48])/1584 + (5838463*s[49])/1584 - (362377*s[50])/66 - 
       (1323947*s[51])/1584 - (1083953*s[52])/1584 + (169101*s[53])/44 - 
       (867*s[54])/11 + (4290667*s[55])/176 + (9982601*s[56])/1584 - 
       (6914711*s[57])/1188 + (156537661*s[58])/14256 - 
       (160466089*s[59])/14256 - (562745587*s[60])/9504 + 
       (195140465*s[61])/64152 - s[68] + 2*s[69] - 2*s[70] - 4*s[72] + 
       2*s[74] - 2*s[75] + 8*s[76] - 4*s[78] - 70*s[79] + (65*s[80])/6 - 
       130*s[82] + 3*s[83] - 18*s[84] - 32*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      (-9*s[2] - (95*s[3])/24 - (16145*s[4])/48 - (462985*s[5])/1584 - 
       (2130509*s[6])/3168 - (114170207*s[7])/19008 + (850423*s[8])/1782 + 
       (6620587*s[9])/1296 + (4026163*s[10])/2592 + (62606663*s[11])/9504 + 
       (136878899*s[12])/19008 + (82368911*s[13])/19008 + 
       (16511665*s[14])/19008 + (13689473*s[15])/1728 + 
       (47905829*s[16])/4752 + (8180065*s[17])/1056 + (8974189*s[18])/7776 + 
       (3096739*s[19])/3888 + (1027961243*s[20])/85536 + 
       (753977611*s[21])/171072 - (541594697*s[22])/171072 - 
       (130823053*s[23])/19008 - (1105289297*s[24])/171072 + 
       (12833813941*s[25])/1539648 - (7139030785*s[26])/1539648 - s[30]/6 - 
       (14*s[31])/3 + (41*s[32])/24 - (15*s[33])/8 + (20*s[34])/3 - 
       (5*s[35])/6 + (35*s[36])/3 - (4943*s[37])/144 - (4961*s[38])/24 + 
       837*s[39] - (2809*s[40])/3 + (34733*s[41])/48 - (57751*s[42])/48 - 
       (151109*s[43])/198 + (1229225*s[44])/1584 - (2834201*s[45])/3168 + 
       (21716071*s[46])/3168 - (2683075*s[47])/9504 - (1460623*s[48])/9504 + 
       (32302993*s[49])/9504 - (8256049*s[50])/1584 - (7646965*s[51])/9504 - 
       (3201541*s[52])/4752 + (34613215*s[53])/9504 - (124565*s[54])/528 + 
       (24508289*s[55])/1056 + (59711557*s[56])/9504 - 
       (82013573*s[57])/14256 + (453598117*s[58])/42768 - 
       (914560763*s[59])/85536 - (1598580167*s[60])/28512 + 
       (4670555419*s[61])/1539648 - s[62]/12 + s[66]/6 - s[67]/6 - s[68]/3 + 
       s[69]/2 + s[70] - (7*s[71])/24 - (11*s[72])/3 + s[73] + 
       (37*s[74])/12 - (37*s[75])/12 + 5*s[76] - (5*s[77])/3 - (10*s[78])/3 - 
       (437*s[79])/6 + (1567*s[80])/72 - (697*s[82])/6 + (3*s[83])/4 - 
       35*s[84] - 31*s[85]) + HPL[{1}, 1 - w]^2*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      (s[2] - (17*s[3])/8 + (5477*s[4])/16 + (36469*s[5])/176 + 
       (83023*s[6])/176 + (13765727*s[7])/3168 - (645355*s[8])/1584 - 
       (267841*s[9])/72 - (127003*s[10])/144 - (209883*s[11])/44 - 
       (1866011*s[12])/352 - (10268047*s[13])/3168 - (58611*s[14])/352 - 
       (560281*s[15])/96 - (11381081*s[16])/1584 - (8384623*s[17])/1584 - 
       (6985*s[18])/8 - (30917*s[19])/72 - (363999*s[20])/44 - 
       (29709611*s[21])/9504 + (21801353*s[22])/9504 + 
       (21288485*s[23])/3168 + (41433059*s[24])/9504 - 
       (66052873*s[25])/10692 + (146709445*s[26])/42768 - s[28]/2 + 4*s[29] + 
       9*s[31] + s[32]/4 + (3*s[33])/4 - (17*s[34])/2 - (5*s[35])/2 + 
       (8*s[36])/3 + (287*s[37])/12 + (568*s[38])/3 - (17209*s[39])/24 + 
       (6179*s[40])/8 - (4837*s[41])/8 + (8517*s[42])/8 + 
       (131075*s[43])/264 - (125383*s[44])/264 + (117025*s[45])/264 - 
       (88245*s[46])/22 + (690985*s[47])/1584 - (585653*s[48])/1584 - 
       (3105481*s[49])/1584 + (770405*s[50])/264 + (1139317*s[51])/1584 + 
       (256907*s[52])/396 - (276593*s[53])/132 + (8179*s[54])/22 - 
       (2291383*s[55])/176 - (6006899*s[56])/1584 + (19519849*s[57])/2376 - 
       (109230229*s[58])/14256 + (111119185*s[59])/14256 + 
       (282544657*s[60])/9504 - (214201759*s[61])/128304 + s[64] + 
       (7*s[65])/2 + 4*s[66] - 6*s[67] - 6*s[68] - 10*s[69] - (13*s[70])/2 - 
       (7*s[71])/2 - 2*s[72] + 14*s[73] + (3*s[74])/2 + s[75]/2 - 3*s[76] + 
       (15*s[77])/2 - 10*s[78] + 66*s[79] - (11*s[80])/6 - 390*s[82] - 
       9*s[83] + 18*s[84] - 30*s[85]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 0, 1, 1}, 1 - w]*(-11*s[2] + (67*s[3])/8 + (4309*s[4])/16 + 
       (25913*s[5])/176 + (164233*s[6])/528 + (2992097*s[7])/1056 - 
       (1635005*s[8])/4752 - (63904*s[9])/27 - (176021*s[10])/432 - 
       (2474855*s[11])/792 - (11434363*s[12])/3168 - (6765887*s[13])/3168 + 
       (261361*s[14])/3168 - (1044959*s[15])/288 - (7185469*s[16])/1584 - 
       (4831573*s[17])/1584 - (246575*s[18])/324 + (2197*s[19])/648 - 
       (37286789*s[20])/7128 - (59790713*s[21])/28512 + 
       (41833243*s[22])/28512 + (19531057*s[23])/3168 + 
       (68063065*s[24])/28512 - (65188463*s[25])/16038 + 
       (300986077*s[26])/128304 + s[30]/2 - 4*s[31] - (5*s[32])/2 - 
       (55*s[33])/8 + (9*s[34])/2 - (5*s[35])/2 + (8*s[36])/3 + 
       (287*s[37])/12 + (568*s[38])/3 - (17209*s[39])/24 + (6179*s[40])/8 - 
       (4837*s[41])/8 + (8517*s[42])/8 + (131075*s[43])/264 - 
       (125383*s[44])/264 + (117025*s[45])/264 - (88245*s[46])/22 + 
       (690985*s[47])/1584 - (585653*s[48])/1584 - (3105481*s[49])/1584 + 
       (770405*s[50])/264 + (1139317*s[51])/1584 + (256907*s[52])/396 - 
       (276593*s[53])/132 + (8179*s[54])/22 - (2291383*s[55])/176 - 
       (6006899*s[56])/1584 + (19519849*s[57])/2376 - 
       (109230229*s[58])/14256 + (111119185*s[59])/14256 + 
       (282544657*s[60])/9504 - (214201759*s[61])/128304 + s[64] + 
       (7*s[65])/2 + 4*s[66] - 6*s[67] - 6*s[68] - 10*s[69] - (13*s[70])/2 - 
       (7*s[71])/2 - 2*s[72] + 14*s[73] + (3*s[74])/2 + s[75]/2 - 3*s[76] + 
       (15*s[77])/2 - 10*s[78] + 66*s[79] - (11*s[80])/6 - 390*s[82] - 
       9*s[83] + 18*s[84] - 30*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((-91*s[2])/18 - (1531*s[3])/72 - 
       (46165*s[4])/144 - (76105*s[5])/288 - (22229*s[6])/36 - 
       (29282753*s[7])/5184 + (1190285*s[8])/2592 + (12299717*s[9])/2592 + 
       (125984*s[10])/81 + (2664655*s[11])/432 + (11544829*s[12])/1728 + 
       (20543353*s[13])/5184 + (1424209*s[14])/1728 + (39499459*s[15])/5184 + 
       (3105985*s[16])/324 + (19613443*s[17])/2592 + (248788*s[18])/243 + 
       (1743763*s[19])/1944 + (88258745*s[20])/7776 + (2362795*s[21])/576 - 
       (45917221*s[22])/15552 - (32188091*s[23])/5184 - 
       (97862389*s[24])/15552 + (182295965*s[25])/23328 - 
       (100449947*s[26])/23328 + (19*s[30])/18 - (7*s[31])/9 - s[32]/72 + 
       (97*s[33])/48 - (91*s[34])/36 - (3*s[35])/2 + (469*s[36])/54 - 
       (9649*s[37])/432 - (12587*s[38])/72 + (17113*s[39])/24 - 
       (172645*s[40])/216 + (88573*s[41])/144 - (442753*s[42])/432 - 
       (1528535*s[43])/2376 + (6410915*s[44])/9504 - (7653851*s[45])/9504 + 
       (57402337*s[46])/9504 - (3312479*s[47])/14256 - 
       (1287863*s[48])/14256 + (41708825*s[49])/14256 - 
       (22170037*s[50])/4752 - (5026229*s[51])/7128 - 
       (15823031*s[52])/28512 + (93511109*s[53])/28512 - 
       (562279*s[54])/4752 + (5496637*s[55])/264 + (12943099*s[56])/2376 - 
       (32110625*s[57])/7128 + (261227027*s[58])/28512 - 
       (2455823*s[59])/264 - (8505770047*s[60])/171072 + 
       (4142328385*s[61])/1539648 - s[62]/12 - s[66]/6 + s[67]/6 - 
       (2*s[68])/3 + (3*s[69])/2 + (2*s[70])/3 - (11*s[71])/24 - 3*s[72] + 
       (7*s[73])/9 + (29*s[74])/12 - (29*s[75])/12 + (14*s[76])/3 - 
       (16*s[77])/9 - (20*s[78])/9 - (379*s[79])/6 + (4481*s[80])/216 - 
       (833*s[82])/6 + (2*s[83])/3 - (61*s[84])/2 - (89*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Omega2[v, w, u]*
      ((-7*s[2])/3 - (47*s[3])/4 + (123*s[4])/8 - 48*s[5] - (1811*s[6])/24 - 
       (269485*s[7])/432 + (4915*s[8])/648 + (169061*s[9])/324 + 
       (97195*s[10])/324 + (266845*s[11])/432 + (58241*s[12])/108 + 
       (13655*s[13])/48 + (158281*s[14])/432 + (49573*s[15])/48 + 
       (85877*s[16])/72 + (545087*s[17])/432 + (44585*s[18])/486 + 
       (360847*s[19])/1944 + (2970353*s[20])/1944 + (2326783*s[21])/3888 - 
       (1212287*s[22])/3888 + (3919*s[23])/24 - (1745509*s[24])/1944 + 
       (5848837*s[25])/8748 - (4106941*s[26])/8748 + (4*s[30])/3 - 
       (7*s[34])/3 - (19*s[35])/3 - (28*s[36])/9 + (167*s[37])/18 + 
       (41*s[38])/3 - (140*s[39])/3 + (349*s[40])/9 - (73*s[41])/3 + 
       (725*s[42])/9 - (353*s[43])/9 + (1189*s[44])/72 - (5401*s[45])/36 + 
       (7525*s[46])/12 + (19717*s[47])/216 - (34811*s[48])/216 + 
       (40265*s[49])/216 - (9799*s[50])/18 + (15797*s[51])/216 + 
       (15275*s[52])/216 + (5305*s[53])/12 + (593*s[54])/6 + 
       (74677*s[55])/24 + (142183*s[56])/216 + (614281*s[57])/324 + 
       (621851*s[58])/1944 - (925511*s[59])/1944 - (8185865*s[60])/1296 + 
       (1751027*s[61])/4374 - (7*s[74])/6 + (7*s[75])/6 + (32*s[79])/3 - 
       (7*s[80])/9 - 154*s[82] - 28*s[85]) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]^3*((-13*s[2])/3 - (149*s[3])/24 - (21569*s[4])/48 - 
       (165901*s[5])/528 - (210685*s[6])/264 - (22730117*s[7])/3168 + 
       (58424*s[8])/99 + (873679*s[9])/144 + (264167*s[10])/144 + 
       (2779753*s[11])/352 + (382211*s[12])/44 + (16567135*s[13])/3168 + 
       (303553*s[14])/352 + (2707697*s[15])/288 + (18994253*s[16])/1584 + 
       (28812917*s[17])/3168 + (583813*s[18])/432 + (426029*s[19])/432 + 
       (67445693*s[20])/4752 + (5414303*s[21])/1056 - (35932873*s[22])/9504 - 
       (6790097*s[23])/792 - (4580185*s[24])/594 + (95794859*s[25])/9504 - 
       (52373027*s[26])/9504 - (7*s[30])/6 - (4*s[31])/3 + (5*s[32])/6 + 
       (10*s[33])/3 + (17*s[34])/6 + (28*s[35])/3 + (137*s[36])/6 - 
       (325*s[37])/12 - 263*s[38] + (24737*s[39])/24 - (27709*s[40])/24 + 
       (21745*s[41])/24 - (35593*s[42])/24 - (233879*s[43])/264 + 
       (498253*s[44])/528 - (266881*s[45])/264 + (263194*s[46])/33 - 
       (561137*s[47])/1584 - (164543*s[48])/1584 + (6309395*s[49])/1584 - 
       (802711*s[50])/132 - (1653727*s[51])/1584 - (1358623*s[52])/1584 + 
       (1659673*s[53])/396 - (9718*s[54])/33 + (42077351*s[55])/1584 + 
       (3803951*s[56])/528 - (3122651*s[57])/396 + (60200435*s[58])/4752 - 
       (60320987*s[59])/4752 - (615924251*s[60])/9504 + 
       (8225783*s[61])/2376 + s[71] - (8*s[72])/3 + (31*s[74])/6 - 
       (31*s[75])/6 + (8*s[76])/3 - (4*s[78])/3 - 104*s[79] + (139*s[80])/6 - 
       48*s[82] - s[83] - 52*s[84] - 28*s[85]) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*((-115*s[2])/48 - (577*s[3])/48 - 
       (4535*s[4])/32 - (70127*s[5])/704 - (195715*s[6])/704 - 
       (45497051*s[7])/19008 + (3556481*s[8])/19008 + (3454525*s[9])/1728 + 
       (1191215*s[10])/1728 + (1846103*s[11])/704 + (1995841*s[12])/704 + 
       (8040913*s[13])/4752 + (815501*s[14])/2112 + (935563*s[15])/288 + 
       (19602619*s[16])/4752 + (7778191*s[17])/2376 + (361223*s[18])/864 + 
       (712687*s[19])/1728 + (91998821*s[20])/19008 + 
       (98698793*s[21])/57024 - (17844023*s[22])/14256 - 
       (46877285*s[23])/19008 - (77832637*s[24])/28512 + 
       (3407553541*s[25])/1026432 - (1870559029*s[26])/1026432 - 
       (5*s[30])/12 + s[31]/12 - s[32]/48 + s[33]/32 - (47*s[34])/12 - 
       (47*s[35])/24 + (167*s[36])/72 + (395*s[37])/288 - (10457*s[38])/144 + 
       (22445*s[39])/72 - (26203*s[40])/72 + (27919*s[41])/96 - 
       (128921*s[42])/288 - (27661*s[43])/88 + (4238023*s[44])/12672 - 
       (2464597*s[45])/6336 + (18467455*s[46])/6336 - (2105693*s[47])/38016 - 
       (6056717*s[48])/38016 + (55516559*s[49])/38016 - (402309*s[50])/176 - 
       (424511*s[51])/1408 - (8542495*s[52])/38016 + (30228119*s[53])/19008 + 
       (16189*s[54])/1584 + (129025559*s[55])/12672 + 
       (33367475*s[56])/12672 - (28727279*s[57])/19008 + 
       (160472215*s[58])/38016 - (54582293*s[59])/12672 - 
       (5595321587*s[60])/228096 + (168230273*s[61])/128304 + s[66]/4 - 
       s[67]/4 + s[68] - (3*s[69])/2 - s[70]/4 - (5*s[71])/16 - (5*s[72])/4 + 
       (11*s[73])/12 + (7*s[74])/8 - (7*s[75])/8 + s[76]/2 + (29*s[77])/24 - 
       (5*s[78])/6 - (147*s[79])/4 + (2345*s[80])/144 - (565*s[82])/4 - 
       s[83]/2 - (63*s[84])/4 - 28*s[85]) + HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((45*s[2])/2 - (223*s[3])/4 + (2239*s[4])/8 + (9761*s[5])/22 + 
       (77629*s[6])/88 + (9634679*s[7])/1584 - (1191857*s[8])/2376 - 
       (572957*s[9])/108 - (30724*s[10])/27 - (10508537*s[11])/1584 - 
       (725470*s[12])/99 - (756331*s[13])/176 - (1947185*s[14])/1584 - 
       (366763*s[15])/48 - (1291805*s[16])/132 - (11614159*s[17])/1584 - 
       (149284*s[18])/81 + (160031*s[19])/648 - (88129045*s[20])/7128 - 
       (75893771*s[21])/14256 + (45672739*s[22])/14256 + (417341*s[23])/44 + 
       (4594354*s[24])/891 - (510935695*s[25])/64152 + 
       (330611317*s[26])/64152 + 7*s[30] + 14*s[31] - 3*s[32] + (9*s[33])/4 - 
       33*s[34] - 47*s[35] - 26*s[36] + (34*s[37])/3 + 330*s[38] - 
       (5581*s[39])/4 + (5957*s[40])/4 - (4889*s[41])/4 + (8243*s[42])/4 + 
       (49171*s[43])/44 - (49451*s[44])/44 + (37480*s[45])/33 - 
       (1267807*s[46])/132 + (29165*s[47])/44 - (3903*s[48])/22 - 
       (205591*s[49])/44 + (153693*s[50])/22 + (46333*s[51])/33 + 
       (13163*s[52])/11 - (1004131*s[53])/198 + (60535*s[54])/66 - 
       (1035272*s[55])/33 - (3625093*s[56])/396 + (14942101*s[57])/1188 - 
       (57482351*s[58])/3564 + (28910587*s[59])/1782 + (58096979*s[60])/792 - 
       (278448043*s[61])/64152 + s[64] + s[65] - 8*s[66] + 4*s[67] - 
       4*s[68] + 26*s[69] - 4*s[70] - 7*s[71] + 14*s[72] + 10*s[73] - 
       (13*s[74])/2 + (19*s[75])/2 - 14*s[76] - 13*s[77] + 42*s[78] + 
       4*s[79] + (170*s[80])/3 - s[81]/6 - 596*s[82] - (15*s[83])/2 - 
       15*s[84] - 28*s[85]) + HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((11*s[2])/4 - (125*s[3])/8 + (2747*s[4])/16 + (689*s[5])/22 + 
       (35273*s[6])/176 + (1551547*s[7])/1056 - (233881*s[8])/1584 - 
       (46037*s[9])/36 - (6827*s[10])/72 - (1870249*s[11])/1056 - 
       (282655*s[12])/132 - (524857*s[13])/352 + (470135*s[14])/1056 - 
       (145109*s[15])/96 - (49097*s[16])/22 - (1243175*s[17])/1056 - 
       (7432*s[18])/27 - (26729*s[19])/432 - (9872897*s[20])/4752 - 
       (6511375*s[21])/9504 + (7631531*s[22])/9504 + (303301*s[23])/88 + 
       (345541*s[24])/297 - (107525051*s[25])/42768 + 
       (48006539*s[26])/42768 + 9*s[31] - (3*s[32])/2 + (105*s[33])/8 - 
       29*s[34] - 10*s[35] - (197*s[36])/6 + (319*s[37])/12 + (159*s[38])/2 - 
       (827*s[39])/2 + (1318*s[40])/3 - (1269*s[41])/4 + (3961*s[42])/6 + 
       (10633*s[43])/66 - (135713*s[44])/528 - (1945*s[45])/264 - 
       (114691*s[46])/88 + (526219*s[47])/1584 - (569645*s[48])/1584 - 
       (1235017*s[49])/1584 + (58039*s[50])/66 + (736091*s[51])/1584 + 
       (691841*s[52])/1584 - (20057*s[53])/44 + (3656*s[54])/11 - 
       (1141241*s[55])/528 - (1796615*s[56])/1584 + (15984283*s[57])/2376 - 
       (49112779*s[58])/14256 + (44777749*s[59])/14256 + 
       (71581153*s[60])/9504 - (55050379*s[61])/128304 - 4*s[64] - 3*s[65] + 
       9*s[67] + 6*s[68] + 8*s[69] + 2*s[70] + 3*s[71] + 9*s[72] - 9*s[73] - 
       (27*s[74])/4 + (27*s[75])/4 - 3*s[76] - (13*s[77])/2 - 31*s[78] + 
       60*s[79] - (179*s[80])/6 - 230*s[82] - 6*s[84] - 28*s[85]) + 
     HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-43*s[2])/4 - (693*s[3])/8 + (1993*s[4])/16 - (5927*s[5])/88 + 
       (1953*s[6])/176 + (2132501*s[7])/3168 - (1156319*s[8])/4752 - 
       (14263*s[9])/27 + (10459*s[10])/108 - (2761403*s[11])/3168 - 
       (1097611*s[12])/792 - (868079*s[13])/1056 + (1808197*s[14])/3168 - 
       (10625*s[15])/96 - (194485*s[16])/264 + (1147499*s[17])/3168 - 
       (16622*s[18])/81 + (252221*s[19])/1296 - (9068731*s[20])/14256 - 
       (1663961*s[21])/28512 + (11444593*s[22])/28512 + (352703*s[23])/132 + 
       (1214395*s[24])/7128 - (172745041*s[25])/128304 + 
       (60132829*s[26])/128304 - 10*s[29] + (5*s[30])/2 - 8*s[31] + 4*s[32] - 
       (15*s[33])/2 + s[34]/2 - 10*s[35] - (197*s[36])/6 + (319*s[37])/12 + 
       (159*s[38])/2 - (827*s[39])/2 + (1318*s[40])/3 - (1269*s[41])/4 + 
       (3961*s[42])/6 + (10633*s[43])/66 - (135713*s[44])/528 - 
       (1945*s[45])/264 - (114691*s[46])/88 + (526219*s[47])/1584 - 
       (569645*s[48])/1584 - (1235017*s[49])/1584 + (58039*s[50])/66 + 
       (736091*s[51])/1584 + (691841*s[52])/1584 - (20057*s[53])/44 + 
       (3656*s[54])/11 - (1141241*s[55])/528 - (1796615*s[56])/1584 + 
       (15984283*s[57])/2376 - (49112779*s[58])/14256 + 
       (44777749*s[59])/14256 + (71581153*s[60])/9504 - 
       (55050379*s[61])/128304 - 4*s[64] - 3*s[65] + 9*s[67] + 6*s[68] + 
       8*s[69] + 2*s[70] + 3*s[71] + 9*s[72] - 9*s[73] - (27*s[74])/4 + 
       (27*s[75])/4 - 3*s[76] - (13*s[77])/2 - 31*s[78] + 60*s[79] - 
       (179*s[80])/6 - 230*s[82] - 6*s[84] - 28*s[85]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((73*s[2])/4 - (103*s[3])/8 - (7403*s[4])/16 + (3217*s[5])/44 - 
       (38261*s[6])/176 - (11695237*s[7])/3168 + (2637959*s[8])/4752 + 
       (315121*s[9])/108 + (158635*s[10])/216 + (13505831*s[11])/3168 + 
       (2052671*s[12])/396 + (10111837*s[13])/3168 - (2930161*s[14])/3168 + 
       (1324283*s[15])/288 + (599327*s[16])/99 + (1261945*s[17])/352 + 
       (50161*s[18])/162 + (1176895*s[19])/1296 + (87996739*s[20])/14256 + 
       (42464489*s[21])/28512 - (55658221*s[22])/28512 - 
       (5176883*s[23])/792 - (15061361*s[24])/3564 + (796326133*s[25])/
        128304 - (331277737*s[26])/128304 - 4*s[27] - 12*s[29] - 5*s[30] + 
       11*s[31] + s[32]/2 + (161*s[33])/8 - 23*s[34] - (5*s[35])/2 + 
       (191*s[36])/6 - (207*s[37])/4 - (417*s[38])/2 + (1547*s[39])/2 - 
       (2671*s[40])/3 + (2863*s[41])/4 - (6619*s[42])/6 - (51127*s[43])/66 + 
       (428633*s[44])/528 - (62625*s[45])/88 + (1600897*s[46])/264 - 
       (183439*s[47])/1584 - (441895*s[48])/1584 + (5583037*s[49])/1584 - 
       (325873*s[50])/66 - (1127039*s[51])/1584 - (821105*s[52])/1584 + 
       (1322605*s[53])/396 + (17869*s[54])/66 + (11232821*s[55])/528 + 
       (7842427*s[56])/1584 - (10369919*s[57])/2376 + 
       (128061167*s[58])/14256 - (137059817*s[59])/14256 - 
       (499249549*s[60])/9504 + (291575435*s[61])/128304 - 4*s[64] + 
       6*s[66] - s[67] + 22*s[68] - 10*s[69] + 8*s[70] - s[72] + s[73] + 
       (3*s[74])/4 - (3*s[75])/4 - (47*s[77])/2 - s[78] - 172*s[79] + 
       (91*s[80])/2 - 218*s[82] - 6*s[84] - 28*s[85]) + 
     HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-65*s[2])/4 + (629*s[3])/8 - (3489*s[4])/16 - (39931*s[5])/88 - 
       (126965*s[6])/176 - (22845145*s[7])/3168 + (1515035*s[8])/4752 + 
       (345005*s[9])/54 + (123517*s[10])/54 + (24468431*s[11])/3168 + 
       (6254797*s[12])/792 + (15095497*s[13])/3168 + (5910671*s[14])/3168 + 
       (2991743*s[15])/288 + (9879751*s[16])/792 + (11221219*s[17])/1056 + 
       (93032*s[18])/81 + (1624855*s[19])/1296 + (218780755*s[20])/14256 + 
       (168803669*s[21])/28512 - (112056013*s[22])/28512 - 
       (2175463*s[23])/396 - (60384415*s[24])/7128 + (1190922577*s[25])/
        128304 - (710676097*s[26])/128304 - 6*s[29] - (3*s[30])/2 - 
       16*s[31] + 2*s[32] - (17*s[33])/4 + (47*s[34])/2 - (5*s[35])/2 + 
       (191*s[36])/6 - (207*s[37])/4 - (417*s[38])/2 + (1547*s[39])/2 - 
       (2671*s[40])/3 + (2863*s[41])/4 - (6619*s[42])/6 - (51127*s[43])/66 + 
       (428633*s[44])/528 - (62625*s[45])/88 + (1600897*s[46])/264 - 
       (183439*s[47])/1584 - (441895*s[48])/1584 + (5583037*s[49])/1584 - 
       (325873*s[50])/66 - (1127039*s[51])/1584 - (821105*s[52])/1584 + 
       (1322605*s[53])/396 + (17869*s[54])/66 + (11232821*s[55])/528 + 
       (7842427*s[56])/1584 - (10369919*s[57])/2376 + 
       (128061167*s[58])/14256 - (137059817*s[59])/14256 - 
       (499249549*s[60])/9504 + (291575435*s[61])/128304 - 4*s[64] + 
       6*s[66] - s[67] + 22*s[68] - 10*s[69] + 8*s[70] - s[72] + s[73] + 
       (3*s[74])/4 - (3*s[75])/4 - (47*s[77])/2 - s[78] - 172*s[79] + 
       (91*s[80])/2 - 218*s[82] - 6*s[84] - 28*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((-137*s[3])/12 + (10375*s[4])/24 + (88981*s[5])/264 + 
       (192437*s[6])/264 + (33668969*s[7])/4752 - (1348873*s[8])/2376 - 
       (652543*s[9])/108 - (402121*s[10])/216 - (690791*s[11])/88 - 
       (13630007*s[12])/1584 - (24485977*s[13])/4752 - (403927*s[14])/528 - 
       (4082405*s[15])/432 - (28574165*s[16])/2376 - (21747613*s[17])/2376 - 
       (281003*s[18])/216 - (229901*s[19])/216 - (33532507*s[20])/2376 - 
       (74523167*s[21])/14256 + (53768177*s[22])/14256 + 
       (40741139*s[23])/4752 + (110289491*s[24])/14256 - 
       (159590407*s[25])/16038 + (354264775*s[26])/64152 + (2*s[30])/3 - 
       (4*s[31])/3 - (2*s[32])/3 - (37*s[33])/3 - 2*s[34] - (37*s[35])/3 - 
       (419*s[36])/9 + (197*s[37])/12 + (1963*s[38])/6 - (14863*s[39])/12 + 
       (48761*s[40])/36 - 1067*s[41] + (32045*s[42])/18 + 
       (398713*s[43])/396 - (877169*s[44])/792 + (240343*s[45])/264 - 
       (6403817*s[46])/792 + (257893*s[47])/594 - (58183*s[48])/1188 - 
       (11280487*s[49])/2376 + (2496871*s[50])/396 + (2837957*s[51])/2376 + 
       (2305115*s[52])/2376 - (10163629*s[53])/2376 - (41645*s[54])/198 - 
       (876857*s[55])/33 - (15424705*s[56])/2376 + (35470709*s[57])/3564 - 
       (70681037*s[58])/5346 + (292653893*s[59])/21384 + 
       (471237017*s[60])/7128 - (1191106273*s[61])/384912 + s[62]/2 - 
       2*s[66] + 2*s[67] - 4*s[68] + 8*s[69] - 2*s[70] + s[71]/2 + 4*s[72] + 
       (4*s[73])/3 - (43*s[74])/6 + (43*s[75])/6 + 2*s[76] - (16*s[77])/3 + 
       (22*s[78])/3 + (248*s[79])/3 - (3*s[80])/2 - 114*s[82] - s[83] + 
       30*s[84] - 28*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*((-169*s[2])/36 - (685*s[3])/48 - 
       (95521*s[4])/288 - (39425*s[5])/176 - (234071*s[6])/396 - 
       (150661859*s[7])/28512 + (39379165*s[8])/85536 + (8607107*s[9])/1944 + 
       (10825795*s[10])/7776 + (329567473*s[11])/57024 + 
       (360640343*s[12])/57024 + (11976497*s[13])/3168 + 
       (18093881*s[14])/28512 + (6045329*s[15])/864 + (84903743*s[16])/9504 + 
       (392034083*s[17])/57024 + (23428489*s[18])/23328 + 
       (17213939*s[19])/23328 + (1340920267*s[20])/128304 + 
       (485219905*s[21])/128304 - (709941163*s[22])/256608 - 
       (40279051*s[23])/6336 - (2908334009*s[24])/513216 + 
       (34045661581*s[25])/4618944 - (18663853201*s[26])/4618944 - s[30]/9 - 
       (5*s[31])/3 + (5*s[32])/4 + (205*s[33])/144 - s[34]/4 + (7*s[35])/18 + 
       (1517*s[36])/108 - (1661*s[37])/216 - (5819*s[38])/36 + 
       (101287*s[39])/144 - (340529*s[40])/432 + (90421*s[41])/144 - 
       (445387*s[42])/432 - (2855095*s[43])/4752 + (6247715*s[44])/9504 - 
       (3594749*s[45])/4752 + (582100*s[46])/99 - (3449777*s[47])/14256 - 
       (794729*s[48])/14256 + (9853655*s[49])/3564 - (21613495*s[50])/4752 - 
       (10230763*s[51])/14256 - (16388441*s[52])/28512 + 
       (3753113*s[53])/1188 - (108107*s[54])/792 + (7974463*s[55])/396 + 
       (38844221*s[56])/7128 - (13622449*s[57])/2673 + 
       (1180003991*s[58])/128304 - (591779185*s[59])/64152 - 
       (4080392333*s[60])/85536 + (3107921717*s[61])/1154736 - s[68]/6 + 
       s[69]/6 + s[70]/3 + s[71]/12 - (10*s[72])/3 + (121*s[74])/36 - 
       (121*s[75])/36 + (5*s[76])/6 + s[77]/6 - (7*s[78])/3 - (574*s[79])/9 + 
       (1499*s[80])/108 - (1559*s[82])/12 - 31*s[84] - (82*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((-937*s[2])/36 + (1163*s[3])/24 + (6233*s[4])/48 - (4701*s[5])/22 - 
       (479977*s[6])/1584 - (57505177*s[7])/28512 - (1303517*s[8])/42768 + 
       (3546895*s[9])/1944 + (447641*s[10])/486 + (58668157*s[11])/28512 + 
       (13139015*s[12])/7128 + (10118797*s[13])/9504 + 
       (40046773*s[14])/28512 + (2575261*s[15])/864 + (4352539*s[16])/1188 + 
       (106102001*s[17])/28512 + (5676115*s[18])/11664 + 
       (745643*s[19])/2916 + (644021483*s[20])/128304 + 
       (583622029*s[21])/256608 - (275452631*s[22])/256608 + 
       (621077*s[23])/1188 - (327725371*s[24])/128304 + 
       (2319109505*s[25])/1154736 - (968686537*s[26])/577368 - 2*s[29] + 
       (65*s[30])/18 - (20*s[31])/3 + (15*s[32])/2 + (11*s[33])/4 + 
       (97*s[34])/18 + (25*s[35])/18 + (445*s[36])/54 + (100*s[37])/27 - 
       10*s[38] + (539*s[39])/9 - (3625*s[40])/54 + (566*s[41])/9 - 
       (3101*s[42])/54 - (198295*s[43])/1188 + (553879*s[44])/4752 - 
       (501793*s[45])/2376 + (1096319*s[46])/792 + (1128355*s[47])/14256 - 
       (3962753*s[48])/14256 + (5367757*s[49])/7128 - (1302121*s[50])/1188 + 
       (139045*s[51])/7128 + (106085*s[52])/14256 + (1893821*s[53])/2376 + 
       (48557*s[54])/792 + (8349805*s[55])/1584 + (1097362*s[56])/891 + 
       (8345923*s[57])/5346 + (42468941*s[58])/32076 - 
       (47475407*s[59])/32076 - (543063607*s[60])/42768 + 
       (774061043*s[61])/1154736 + s[65] + s[66] - 3*s[67] + 3*s[68] - 
       6*s[69] + 3*s[70] - s[71] - s[72] - (11*s[73])/3 - (23*s[74])/36 + 
       (23*s[75])/36 - s[76] - (23*s[77])/6 - (5*s[78])/3 + (218*s[79])/9 - 
       (113*s[80])/54 - (529*s[82])/3 - (13*s[83])/4 + (3*s[84])/2 - 
       (82*s[85])/3) + HPL[{1}, 1 - v]^3*HPL[{0, 1, 1, 1}, 1 - u]*
      ((-9*s[2])/4 - (75*s[3])/4 + (801*s[4])/16 + (3303*s[5])/176 + 
       (961*s[6])/22 + (527837*s[7])/1056 - (21419*s[8])/396 - 
       (16321*s[9])/36 - (835*s[10])/18 - (598751*s[11])/1056 - 
       (178777*s[12])/264 - (156605*s[13])/352 + (72937*s[14])/1056 - 
       (49565*s[15])/96 - (118005*s[16])/176 - (334903*s[17])/1056 - 
       (14879*s[18])/108 + (9775*s[19])/216 - (3984841*s[20])/4752 - 
       (3282527*s[21])/9504 + (2680531*s[22])/9504 + (95089*s[23])/88 + 
       (1482275*s[24])/4752 - (63634613*s[25])/85536 + 
       (35611223*s[26])/85536 + (3*s[32])/8 - (21*s[33])/8 - 6*s[34] - 
       15*s[35] - (67*s[36])/12 + 10*s[37] + (149*s[38])/4 - 181*s[39] + 
       (371*s[40])/2 - (1245*s[41])/8 + (2269*s[42])/8 + (3211*s[43])/44 - 
       (4185*s[44])/44 - (437*s[45])/88 - (47889*s[46])/88 + 
       (2847*s[47])/22 - (16695*s[48])/88 - (27663*s[49])/88 + 
       (33953*s[50])/88 + (27529*s[51])/132 + (4221*s[52])/22 - 
       (17955*s[53])/88 + (15753*s[54])/88 - (95971*s[55])/88 - 
       (39247*s[56])/88 + (700489*s[57])/264 - (575659*s[58])/396 + 
       (533161*s[59])/396 + (69617*s[60])/22 - (1935103*s[61])/14256 + 
       (3*s[70])/2 - (3*s[74])/2 + (3*s[75])/2 - (3*s[77])/2 + 27*s[79] - 
       (9*s[80])/2 - 135*s[82] - 27*s[85]) + HPL[{1}, 1 - u]^3*
      HPL[{0, 1, 1, 1}, 1 - v]*((-9*s[2])/4 - (15*s[3])/16 - (2403*s[4])/32 - 
       (12657*s[5])/176 - (54669*s[6])/352 - (3604867*s[7])/2112 + 
       (349885*s[8])/3168 + (52753*s[9])/36 + (84791*s[10])/144 + 
       (3887509*s[11])/2112 + (2016409*s[12])/1056 + (781119*s[13])/704 + 
       (702079*s[14])/2112 + (156855*s[15])/64 + (1049705*s[16])/352 + 
       (5302811*s[17])/2112 + (92051*s[18])/432 + (360851*s[19])/864 + 
       (34078817*s[20])/9504 + (23343601*s[21])/19008 - 
       (17204909*s[22])/19008 - (11859*s[23])/11 - (2517305*s[24])/1188 + 
       (98491849*s[25])/42768 - (26450747*s[26])/21384 - (3*s[32])/2 - 
       (3*s[33])/4 + (3*s[34])/2 + 9*s[35] + (15*s[36])/4 + (9*s[37])/4 - 
       (159*s[38])/4 + (2463*s[39])/16 - (2871*s[40])/16 + (2523*s[41])/16 - 
       (3315*s[42])/16 - (31557*s[43])/176 + (73467*s[44])/352 - 
       (11823*s[45])/44 + (327795*s[46])/176 + (5747*s[47])/352 - 
       (46459*s[48])/352 + (319711*s[49])/352 - (70245*s[50])/44 - 
       (62779*s[51])/352 - (28499*s[52])/352 + (189929*s[53])/176 + 
       (8907*s[54])/44 + (2449373*s[55])/352 + (531661*s[56])/352 + 
       (43357*s[57])/132 + (7335257*s[58])/3168 - (7688183*s[59])/3168 - 
       (35353321*s[60])/2112 + (23497259*s[61])/28512 - 6*s[70] + 
       (3*s[74])/8 - (3*s[75])/8 + 6*s[77] - 18*s[79] + 3*s[80] - 135*s[82] - 
       27*s[85]) + HPL[{1}, 1 - w]^3*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-9*s[2])/4 - (243*s[3])/16 + (3489*s[4])/32 - (3603*s[5])/176 + 
       (14183*s[6])/352 + (999133*s[7])/2112 - (400819*s[8])/3168 - 
       (25223*s[9])/72 + (4627*s[10])/144 - (1139791*s[11])/2112 - 
       (762337*s[12])/1056 - (312089*s[13])/704 + (754319*s[14])/2112 - 
       (37817*s[15])/64 - (250295*s[16])/352 - (552377*s[17])/2112 - 
       (22073*s[18])/432 - (28937*s[19])/864 - (5120279*s[20])/9504 - 
       (2231359*s[21])/19008 + (4603043*s[22])/19008 + (289137*s[23])/176 + 
       (1636343*s[24])/4752 - (37506295*s[25])/42768 + 
       (7498013*s[26])/21384 + 3*s[30] + (3*s[33])/4 - (3*s[34])/2 - 
       9*s[35] - (21*s[36])/4 + (5*s[37])/2 + (109*s[38])/4 - 
       (2445*s[39])/16 + (2421*s[40])/16 - (2025*s[41])/16 + 
       (3837*s[42])/16 + (12471*s[43])/176 - (27431*s[44])/352 + 
       (543*s[45])/22 - (111021*s[46])/176 + (38157*s[47])/352 - 
       (69269*s[48])/352 - (103251*s[49])/352 + (19331*s[50])/44 + 
       (47435*s[51])/352 + (50795*s[52])/352 - (61599*s[53])/176 + 
       (8469*s[54])/44 - (2178415*s[55])/1056 - (220217*s[56])/352 + 
       (161243*s[57])/88 - (1423271*s[58])/1056 + (1527497*s[59])/1056 + 
       (8374717*s[60])/2112 - (2102669*s[61])/9504 - (9*s[74])/8 + 
       (9*s[75])/8 + 18*s[79] - 3*s[80] - 123*s[82] - 27*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1, 1, 1}, 1 - w]*((-9*s[2])/4 - (15*s[3])/16 - 
       (2499*s[4])/32 - (9191*s[5])/176 - (62113*s[6])/352 - 
       (3317971*s[7])/2112 + (350657*s[8])/3168 + (95617*s[9])/72 + 
       (69505*s[10])/144 + (3625013*s[11])/2112 + (1964981*s[12])/1056 + 
       (2410549*s[13])/2112 + (660731*s[14])/2112 + (398413*s[15])/192 + 
       (2828207*s[16])/1056 + (1476273*s[17])/704 + (109975*s[18])/432 + 
       (241711*s[19])/864 + (30610999*s[20])/9504 + (21912497*s[21])/19008 - 
       (15733669*s[22])/19008 - (616379*s[23])/528 - (4302719*s[24])/2376 + 
       (11425279*s[25])/5346 - (50720405*s[26])/42768 - (3*s[30])/4 - 
       (3*s[32])/2 - (3*s[33])/2 + (3*s[34])/4 + 9*s[35] + (15*s[36])/4 - 
       (55*s[37])/4 - (159*s[38])/4 + (2463*s[39])/16 - (2871*s[40])/16 + 
       (2523*s[41])/16 - (3315*s[42])/16 - (35093*s[43])/176 + 
       (66707*s[44])/352 - (10387*s[45])/44 + (301875*s[46])/176 + 
       (2161*s[47])/1056 - (227321*s[48])/1056 + (935909*s[49])/1056 - 
       (59693*s[50])/44 - (152297*s[51])/1056 - (119953*s[52])/1056 + 
       (471155*s[53])/528 + (1451*s[54])/44 + (2099285*s[55])/352 + 
       (559925*s[56])/352 - (7351*s[57])/44 + (7348321*s[58])/3168 - 
       (7287631*s[59])/3168 - (95477363*s[60])/6336 + 
       (21957395*s[61])/28512 - 6*s[70] + (3*s[74])/8 - (3*s[75])/8 + 
       6*s[77] - 18*s[79] + 3*s[80] - 111*s[82] - 27*s[85]) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1, 1, 1}, 1 - u]*((-9*s[2])/4 - (75*s[3])/4 + 
       (945*s[4])/16 - (5289*s[5])/176 - (2589*s[6])/88 + 
       (102547*s[7])/1056 - (11063*s[8])/198 - (779*s[9])/9 + (770*s[10])/9 - 
       (177895*s[11])/1056 - (174265*s[12])/528 - (84299*s[13])/352 + 
       (343355*s[14])/1056 + (5021*s[15])/96 - (5245*s[16])/176 + 
       (350473*s[17])/1056 + (4111*s[18])/216 + (923*s[19])/216 + 
       (535423*s[20])/4752 + (1308743*s[21])/9504 + (708533*s[22])/9504 + 
       (136139*s[23])/176 - (5801*s[24])/297 - (31144471*s[25])/85536 + 
       (4043581*s[26])/85536 + 3*s[30] + (3*s[32])/8 + (3*s[33])/8 - 
       3*s[34] - 15*s[35] - (67*s[36])/12 + 18*s[37] + (145*s[38])/4 - 
       131*s[39] + (271*s[40])/2 - (837*s[41])/8 + (1565*s[42])/8 + 
       (2027*s[43])/44 - (3483*s[44])/44 - (3925*s[45])/88 - 
       (15921*s[46])/88 + (8065*s[47])/88 - (5719*s[48])/44 - 
       (5419*s[49])/22 + (12079*s[50])/88 + (38491*s[51])/264 + 
       (2759*s[52])/22 - (563*s[53])/88 + (4089*s[54])/88 + (2417*s[55])/22 + 
       (257*s[56])/44 + (515741*s[57])/264 - (598831*s[58])/792 + 
       (536821*s[59])/792 + (504967*s[60])/528 + (1121245*s[61])/14256 + 
       (3*s[70])/2 - (3*s[74])/2 + (3*s[75])/2 - (3*s[77])/2 + 27*s[79] - 
       (9*s[80])/2 - 99*s[82] - 27*s[85]) + HPL[{1}, 1 - v]^3*
      HPL[{0, 1, 1, 1}, 1 - w]*((-9*s[2])/4 - (243*s[3])/16 + (705*s[4])/32 + 
       (5295*s[5])/176 - (65*s[6])/352 + (550097*s[7])/2112 - 
       (77135*s[8])/3168 - (2192*s[9])/9 - (3223*s[10])/144 - 
       (579767*s[11])/2112 - (316691*s[12])/1056 - (127877*s[13])/704 + 
       (48151*s[14])/2112 - (74743*s[15])/192 - (137547*s[16])/352 - 
       (605641*s[17])/2112 - (20011*s[18])/432 - (5533*s[19])/864 - 
       (4601737*s[20])/9504 - (4131803*s[21])/19008 + (2779495*s[22])/19008 + 
       (106585*s[23])/176 + (476159*s[24])/2376 - (14882885*s[25])/42768 + 
       (4584433*s[26])/21384 - (3*s[30])/4 - 3*s[33] - (21*s[34])/4 - 
       9*s[35] - (21*s[36])/4 + (21*s[37])/2 + (105*s[38])/4 - 
       (1645*s[39])/16 + (1621*s[40])/16 - (1209*s[41])/16 + 
       (2429*s[42])/16 + (7735*s[43])/176 - (21815*s[44])/352 - 
       (329*s[45])/22 - (47085*s[46])/176 + (24865*s[47])/352 - 
       (48241*s[48])/352 - (79303*s[49])/352 + (4197*s[50])/22 + 
       (76037*s[51])/1056 + (27403*s[52])/352 - (26815*s[53])/176 + 
       (2637*s[54])/44 - (910747*s[55])/1056 - (61173*s[56])/352 + 
       (298981*s[57])/264 - (2059865*s[58])/3168 + (2464487*s[59])/3168 + 
       (3711353*s[60])/2112 - (195311*s[61])/28512 - (9*s[74])/8 + 
       (9*s[75])/8 + 18*s[79] - 3*s[80] - 87*s[82] - 27*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((-115*s[2])/24 - (455*s[3])/48 - (28709*s[4])/96 - (85489*s[5])/396 - 
       (872623*s[6])/1584 - (16090757*s[7])/3168 + (3791851*s[8])/9504 + 
       (1855825*s[9])/432 + (1201237*s[10])/864 + (35450689*s[11])/6336 + 
       (38728369*s[12])/6336 + (11627261*s[13])/3168 + (2188771*s[14])/3168 + 
       (5827565*s[15])/864 + (1705117*s[16])/198 + (41993135*s[17])/6336 + 
       (2336443*s[18])/2592 + (2081237*s[19])/2592 + (72613913*s[20])/7128 + 
       (104701721*s[21])/28512 - (38239937*s[22])/14256 - 
       (11690017*s[23])/2112 - (322139483*s[24])/57024 + 
       (3641463901*s[25])/513216 - (1996933465*s[26])/513216 - s[30]/4 - 
       s[31] - (17*s[32])/24 - s[33]/3 + (7*s[34])/12 + (11*s[35])/4 + 
       (17*s[36])/2 - (2623*s[37])/144 - (1337*s[38])/8 + (31267*s[39])/48 - 
       (11657*s[40])/16 + (13505*s[41])/24 - (22363*s[42])/24 - 
       (82733*s[43])/144 + (87769*s[44])/144 - (183799*s[45])/288 + 
       (1456247*s[46])/288 - (187241*s[47])/864 - (90311*s[48])/864 + 
       (2252687*s[49])/864 - (555647*s[50])/144 - (552197*s[51])/864 - 
       (28375*s[52])/54 + (2264105*s[53])/864 - (2747*s[54])/48 + 
       (4809307*s[55])/288 + (3893099*s[56])/864 - (3299471*s[57])/648 + 
       (31288349*s[58])/3888 - (62600179*s[59])/7776 - 
       (107502925*s[60])/2592 + (302760179*s[61])/139968 - (5*s[66])/6 + 
       (5*s[67])/6 - (4*s[68])/3 + (7*s[69])/2 - (11*s[70])/6 + s[71]/24 - 
       (17*s[72])/6 + (5*s[73])/6 + (21*s[74])/8 - (21*s[75])/8 + 
       (17*s[76])/3 + (5*s[77])/12 - (7*s[78])/6 - (133*s[79])/2 + 
       (1171*s[80])/72 - (577*s[82])/6 + s[83]/4 - 29*s[84] - 27*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((-13*s[2])/6 - (32*s[3])/3 + (35*s[4])/6 - (4109*s[5])/88 - 
       (90715*s[6])/1056 - (3229009*s[7])/4752 + (477283*s[8])/28512 + 
       (1496387*s[9])/2592 + (391157*s[10])/1296 + (13308487*s[11])/19008 + 
       (12511751*s[12])/19008 + (370577*s[13])/1056 + (3371171*s[14])/9504 + 
       (153335*s[15])/144 + (1017809*s[16])/792 + (23709239*s[17])/19008 + 
       (117719*s[18])/972 + (623053*s[19])/3888 + (35404643*s[20])/21384 + 
       (27925159*s[21])/42768 - (3716783*s[22])/10692 - (69637*s[23])/2112 - 
       (155638607*s[24])/171072 + (1184398159*s[25])/1539648 - 
       (817247821*s[26])/1539648 - (5*s[32])/12 - (7*s[33])/4 - (8*s[34])/3 - 
       (11*s[35])/3 - (23*s[36])/9 + (1891*s[37])/72 + (17*s[38])/6 - 
       (241*s[39])/24 + (139*s[40])/72 + (39*s[41])/8 + (1105*s[42])/36 - 
       (5744*s[43])/99 + (71021*s[44])/1584 - (109877*s[45])/792 + 
       (62229*s[46])/88 + (717631*s[47])/9504 - (1442483*s[48])/9504 + 
       (698735*s[49])/2376 - (955931*s[50])/1584 + (44089*s[51])/1188 + 
       (202429*s[52])/4752 + (231149*s[53])/528 + (67307*s[54])/528 + 
       (1081203*s[55])/352 + (3192017*s[56])/4752 + (18363271*s[57])/14256 + 
       (6279061*s[58])/10692 - (1840915*s[59])/2673 - 
       (196818847*s[60])/28512 + (153269029*s[61])/384912 - (5*s[70])/3 - 
       (2*s[74])/3 + (2*s[75])/3 + (5*s[77])/3 + (22*s[79])/3 - 
       (11*s[80])/9 - (609*s[82])/4 - 26*s[85]) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      ((-51*s[2])/16 - (89*s[3])/12 - (6335*s[4])/96 - (30385*s[5])/352 - 
       (597467*s[6])/3168 - (63225671*s[7])/38016 + (2080445*s[8])/19008 + 
       (2435377*s[9])/1728 + (910463*s[10])/1728 + (22668299*s[11])/12672 + 
       (11930099*s[12])/6336 + (41670037*s[13])/38016 + 
       (5257705*s[14])/12672 + (2659243*s[15])/1152 + (27609457*s[16])/9504 + 
       (92161499*s[17])/38016 + (1576735*s[18])/5184 + (738463*s[19])/2592 + 
       (200955971*s[20])/57024 + (49132183*s[21])/38016 - 
       (99293863*s[22])/114048 - (6535807*s[23])/4752 - 
       (27640667*s[24])/14256 + (375034427*s[25])/171072 - 
       (107831839*s[26])/85536 + (5*s[30])/6 - s[31]/6 - (11*s[32])/16 + 
       (11*s[33])/32 - (47*s[34])/24 - (71*s[35])/24 - (155*s[36])/72 + 
       (143*s[37])/32 - (3565*s[38])/144 + (17915*s[39])/144 - 
       (22603*s[40])/144 + (12157*s[41])/96 - (51211*s[42])/288 - 
       (80371*s[43])/528 + (2080457*s[44])/12672 - (1419317*s[45])/6336 + 
       (9802283*s[46])/6336 + (285077*s[47])/38016 - (5409667*s[48])/38016 + 
       (27695665*s[49])/38016 - (654191*s[50])/528 - (1511417*s[51])/12672 - 
       (2836937*s[52])/38016 + (16540375*s[53])/19008 + (3461*s[54])/99 + 
       (71658761*s[55])/12672 + (6087607*s[56])/4224 - 
       (1407257*s[57])/19008 + (232607503*s[58])/114048 - 
       (238156195*s[59])/114048 - (3060683785*s[60])/228096 + 
       (126781157*s[61])/171072 - s[66]/4 + s[67]/4 + s[68]/2 - (3*s[70])/4 - 
       (9*s[71])/16 - s[72]/4 + (7*s[73])/12 - s[74]/8 + s[75]/8 + 
       (25*s[77])/24 + (5*s[78])/6 - (89*s[79])/4 + (2125*s[80])/144 - 
       (617*s[82])/4 - (5*s[83])/8 - 9*s[84] - 26*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((-81*s[3])/2 + (509*s[4])/2 - (12359*s[5])/264 + (9589*s[6])/88 + 
       (2298853*s[7])/1584 - (2435*s[8])/11 - (14491*s[9])/12 - 
       (205*s[10])/4 - (316733*s[11])/176 - (310435*s[12])/132 - 
       (2482481*s[13])/1584 + (398419*s[14])/528 - (64691*s[15])/48 - 
       (790007*s[16])/396 - (894625*s[17])/1584 - (10057*s[18])/54 - 
       (3877*s[19])/27 - (4503431*s[20])/2376 - (1910465*s[21])/4752 + 
       (1280935*s[22])/1584 + (730847*s[23])/198 + (973063*s[24])/792 - 
       (116066219*s[25])/42768 + (44693789*s[26])/42768 + s[29] + s[30] + 
       2*s[31] + (3*s[32])/2 + (17*s[33])/4 - 10*s[34] - 12*s[35] + 
       (143*s[36])/36 + (673*s[37])/36 + (965*s[38])/12 - (14509*s[39])/48 + 
       (46411*s[40])/144 - (4385*s[41])/16 + (67013*s[42])/144 + 
       (218297*s[43])/1584 - (618697*s[44])/3168 - (43141*s[45])/198 + 
       (25115*s[46])/528 + (1991939*s[47])/9504 - (2251267*s[48])/9504 - 
       (5486537*s[49])/9504 - (29611*s[50])/396 + (3737761*s[51])/9504 + 
       (2637751*s[52])/9504 + (191935*s[53])/792 + (25277*s[54])/132 + 
       (2605307*s[55])/1056 + (5978285*s[56])/9504 + (8618179*s[57])/1782 - 
       (87626741*s[58])/85536 + (76020107*s[59])/85536 - 
       (120082213*s[60])/57024 + (385185013*s[61])/769824 - s[67] - 2*s[68] + 
       s[69] - s[71]/2 + 2*s[72] - (3*s[73])/2 - (7*s[74])/2 + (11*s[75])/3 - 
       s[76] - 4*s[77] + (5*s[78])/2 + (245*s[79])/3 - (112*s[80])/9 - 
       332*s[82] + (5*s[83])/4 + (21*s[84])/2 - 26*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((79*s[2])/12 - (585*s[3])/8 + (2215*s[4])/16 + (1239*s[5])/88 + 
       (48925*s[6])/528 + (5275387*s[7])/9504 - (2089555*s[8])/14256 - 
       (357637*s[9])/648 + (117479*s[10])/324 - (7432669*s[11])/9504 - 
       (1411207*s[12])/1188 - (2989573*s[13])/3168 + (6447515*s[14])/9504 - 
       (16651*s[15])/288 - (299753*s[16])/792 + (5510257*s[17])/9504 - 
       (310997*s[18])/1944 + (1125595*s[19])/3888 - (2095637*s[20])/42768 - 
       (3234439*s[21])/85536 + (29722679*s[22])/85536 + (2467367*s[23])/792 - 
       (960859*s[24])/5346 - (247559467*s[25])/192456 + 
       (93426493*s[26])/192456 + (11*s[30])/3 + 9*s[31] - s[32] + 
       (25*s[33])/8 - (74*s[34])/3 - (109*s[35])/6 - (125*s[36])/9 + 
       (422*s[37])/9 + 132*s[38] - (13699*s[39])/24 + (40873*s[40])/72 - 
       (10795*s[41])/24 + (63251*s[42])/72 + (21925*s[43])/72 - 
       (11525*s[44])/36 + (641*s[45])/18 - (44489*s[46])/24 + 
       (89633*s[47])/216 - (47921*s[48])/108 - (264905*s[49])/216 + 
       (21547*s[50])/18 + (64481*s[51])/108 + (113029*s[52])/216 - 
       (2465*s[53])/3 + (6905*s[54])/12 - (24877*s[55])/6 - 
       (336583*s[56])/216 + (4879243*s[57])/648 - (8568275*s[58])/1944 + 
       (4208641*s[59])/972 + (14536319*s[60])/1296 - (15835117*s[61])/34992 - 
       2*s[66] + 2*s[67] - s[68] + 4*s[69] - 5*s[70] - s[71]/2 + 7*s[72] - 
       s[73] - (73*s[74])/12 + (79*s[75])/12 - 9*s[76] + (5*s[77])/2 + 
       12*s[78] + (112*s[79])/3 + (25*s[80])/9 - 404*s[82] + (9*s[83])/4 + 
       (33*s[84])/2 - 26*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*((257*s[2])/12 - 
       (1777*s[3])/24 + (8855*s[4])/48 + (34829*s[5])/88 + 
       (325715*s[6])/528 + (19079699*s[7])/3168 - (411757*s[8])/1584 - 
       (389569*s[9])/72 - (31481*s[10])/18 - (6863371*s[11])/1056 - 
       (1802107*s[12])/264 - (13022215*s[13])/3168 - (556973*s[14])/352 - 
       (775523*s[15])/96 - (7911217*s[16])/792 - (25461275*s[17])/3168 - 
       (96389*s[18])/72 - (9049*s[19])/16 - (20366777*s[20])/1584 - 
       (48624797*s[21])/9504 + (31217453*s[22])/9504 + (2197867*s[23])/396 + 
       (15356531*s[24])/2376 - (82575685*s[25])/10692 + 
       (50908393*s[26])/10692 + s[28]/2 + 11*s[29] - (25*s[30])/3 + 
       (37*s[31])/3 - (4*s[32])/3 - (43*s[33])/8 - (38*s[34])/3 - 
       (21*s[35])/2 - (61*s[36])/18 + (1007*s[37])/36 + 235*s[38] - 
       (3031*s[39])/4 + (31433*s[40])/36 - (8377*s[41])/12 + (9775*s[42])/9 + 
       (241441*s[43])/396 - (1003897*s[44])/1584 + (485875*s[45])/792 - 
       (1315937*s[46])/264 + (1411913*s[47])/4752 - (44443*s[48])/4752 - 
       (12201983*s[49])/4752 + (377917*s[50])/99 + (4061485*s[51])/4752 + 
       (3363757*s[52])/4752 - (80825*s[53])/33 + (35119*s[54])/132 - 
       (24989915*s[55])/1584 - (20849401*s[56])/4752 + 
       (52755341*s[57])/7128 - (371527241*s[58])/42768 + 
       (361746887*s[59])/42768 + (1156247195*s[60])/28512 - 
       (744477077*s[61])/384912 + 4*s[65] + 11*s[66] - 13*s[67] - 9*s[68] - 
       24*s[69] - s[70] - 6*s[71] - (25*s[72])/3 + 13*s[73] - (3*s[74])/4 + 
       (3*s[75])/4 - (11*s[76])/3 + (13*s[77])/2 - (95*s[78])/3 + 
       (442*s[79])/3 - (169*s[80])/18 - 304*s[82] - (17*s[83])/4 + 
       (143*s[84])/2 - 26*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*
      HPL[{0, 1}, 1 - w]*((-577*s[2])/144 - (2363*s[3])/288 - 
       (87347*s[4])/576 - (322783*s[5])/2112 - (2246773*s[6])/6336 - 
       (174651001*s[7])/57024 + (3118289*s[8])/14256 + (13449679*s[9])/5184 + 
       (1137179*s[10])/1296 + (126806923*s[11])/38016 + 
       (135858307*s[12])/38016 + (121393919*s[13])/57024 + 
       (11083235*s[14])/19008 + (2691371*s[15])/648 + 
       (149190709*s[16])/28512 + (478717985*s[17])/114048 + 
       (4520009*s[18])/7776 + (7133951*s[19])/15552 + 
       (537152785*s[20])/85536 + (7418029*s[21])/3168 - 
       (17178707*s[22])/10692 - (356402537*s[23])/114048 - 
       (1170613075*s[24])/342144 + (2129196689*s[25])/513216 - 
       (1218557375*s[26])/513216 + (31*s[30])/36 - (31*s[31])/36 + 
       (41*s[32])/144 + (19*s[33])/72 - (23*s[34])/72 - (7*s[35])/6 + 
       (79*s[36])/18 - (3223*s[37])/864 - (4457*s[38])/48 + 
       (106559*s[39])/288 - (121279*s[40])/288 + (47779*s[41])/144 - 
       (75671*s[42])/144 - (383531*s[43])/1056 + (785053*s[44])/2112 - 
       (8753885*s[45])/19008 + (64173917*s[46])/19008 - (49943*s[47])/594 - 
       (1272011*s[48])/9504 + (7805551*s[49])/4752 - (918331*s[50])/352 - 
       (837269*s[51])/2376 - (5441261*s[52])/19008 + (104161807*s[53])/
        57024 - (300305*s[54])/9504 + (27917423*s[55])/2376 + 
       (88255999*s[56])/28512 - (180043339*s[57])/85536 + 
       (2583584863*s[58])/513216 - (657918445*s[59])/128304 - 
       (3203757737*s[60])/114048 + (14190287723*s[61])/9237888 + s[66]/4 - 
       s[67]/4 + s[68]/4 - s[69]/2 + (5*s[71])/16 - (55*s[72])/36 + 
       (31*s[73])/36 + (155*s[74])/144 - (155*s[75])/144 + (65*s[76])/36 + 
       (13*s[77])/72 - (61*s[78])/36 - (1133*s[79])/36 + (3275*s[80])/432 - 
       (399*s[82])/4 - s[83]/4 - (209*s[84])/12 - (51*s[85])/2) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((-27*s[2])/8 - (57*s[3])/8 - (13685*s[4])/48 - (88083*s[5])/352 - 
       (180893*s[6])/352 - (96654737*s[7])/19008 + (5790857*s[8])/14256 + 
       (2800367*s[9])/648 + (896329*s[10])/648 + (105605251*s[11])/19008 + 
       (57274177*s[12])/9504 + (67483847*s[13])/19008 + 
       (13094857*s[14])/19008 + (11949889*s[15])/1728 + 
       (20510323*s[16])/2376 + (42770105*s[17])/6336 + (3633143*s[18])/3888 + 
       (1517135*s[19])/1944 + (879938729*s[20])/85536 + 
       (644561443*s[21])/171072 - (458960639*s[22])/171072 - 
       (54246017*s[23])/9504 - (479486479*s[24])/85536 + 
       (10796150131*s[25])/1539648 - (6016334713*s[26])/1539648 - 
       (23*s[30])/12 - (5*s[31])/3 + (5*s[32])/8 - s[33]/8 + (13*s[34])/4 + 
       (27*s[35])/4 + (1309*s[36])/72 - (2341*s[37])/144 - (2069*s[38])/12 + 
       (65045*s[39])/96 - (214243*s[40])/288 + (18563*s[41])/32 - 
       (279599*s[42])/288 - (1794929*s[43])/3168 + (485843*s[44])/792 - 
       (2030539*s[45])/3168 + (674437*s[46])/132 - (290417*s[47])/1188 - 
       (72241*s[48])/9504 + (785399*s[49])/297 - (3125201*s[50])/792 - 
       (6262151*s[51])/9504 - (5033903*s[52])/9504 + (480619*s[53])/176 - 
       (6871*s[54])/528 + (54593789*s[55])/3168 + (21185695*s[56])/4752 - 
       (143219891*s[57])/28512 + (346198415*s[58])/42768 - 
       (704799775*s[59])/85536 - (2384825203*s[60])/57024 + 
       (3341427785*s[61])/1539648 + (5*s[66])/6 - (5*s[67])/6 - (5*s[68])/6 - 
       (5*s[69])/6 + (5*s[70])/6 - s[71]/3 - (5*s[72])/2 - (5*s[73])/6 + 
       (77*s[74])/24 - (77*s[75])/24 + (5*s[76])/3 - (5*s[77])/12 - 
       (25*s[78])/6 - (295*s[79])/6 + (655*s[80])/72 - 142*s[82] + 
       (5*s[83])/4 - 20*s[84] - 25*s[85]) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((-37*s[2])/12 - (323*s[3])/144 - 
       (18373*s[4])/96 - (273169*s[5])/1584 - (416521*s[6])/1056 - 
       (34118935*s[7])/9504 + (1420645*s[8])/5346 + (23763137*s[9])/7776 + 
       (7879945*s[10])/7776 + (112234325*s[11])/28512 + 
       (121314181*s[12])/28512 + (36182161*s[13])/14256 + 
       (16284611*s[14])/28512 + (12467353*s[15])/2592 + 
       (174043553*s[16])/28512 + (136147037*s[17])/28512 + 
       (498725*s[18])/729 + (6188143*s[19])/11664 + (1870231883*s[20])/
        256608 + (693029681*s[21])/256608 - (15211616*s[22])/8019 - 
       (55011323*s[23])/14256 - (1016103487*s[24])/256608 + 
       (355722808*s[25])/72171 - (6425284277*s[26])/2309472 - (5*s[30])/36 - 
       (5*s[31])/6 + (59*s[32])/36 + (5*s[33])/36 + (5*s[34])/9 + 
       (5*s[35])/18 + (133*s[36])/18 + (41*s[37])/108 - (4597*s[38])/36 + 
       (12259*s[39])/24 - (41173*s[40])/72 + (8279*s[41])/18 - 
       (6526*s[42])/9 - (41801*s[43])/88 + (785959*s[44])/1584 - 
       (167164*s[45])/297 + (10291607*s[46])/2376 - (98761*s[47])/792 - 
       (9947*s[48])/66 + (877381*s[49])/396 - (335120*s[50])/99 - 
       (294919*s[51])/594 - (612379*s[52])/1584 + (16572121*s[53])/7128 + 
       (119369*s[54])/2376 + (8804177*s[55])/594 + (3393217*s[56])/891 - 
       (33601075*s[57])/10692 + (104776621*s[58])/16038 - 
       (213170459*s[59])/32076 - (64246571*s[60])/1782 + 
       (549934091*s[61])/288684 + s[68] - s[69] + s[71]/2 - (5*s[72])/3 - 
       s[73]/3 + (65*s[74])/36 - (65*s[75])/36 + (5*s[76])/3 + 
       (23*s[77])/18 - (10*s[78])/9 - (346*s[79])/9 + (395*s[80])/54 - 
       (376*s[82])/3 - 20*s[84] - (74*s[85])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      (-2*s[2] - 4*s[3] - (199*s[4])/6 - (279*s[5])/2 - (1333*s[6])/8 - 
       (853753*s[7])/432 + (8144*s[8])/81 + (276649*s[9])/162 + 
       (485693*s[10])/648 + (212977*s[11])/108 + (801863*s[12])/432 + 
       (142609*s[13])/144 + (309877*s[14])/432 + (155785*s[15])/48 + 
       (129389*s[16])/36 + (188335*s[17])/54 + (550139*s[18])/1944 + 
       (464081*s[19])/972 + (8769341*s[20])/1944 + (6572029*s[21])/3888 - 
       (3947387*s[22])/3888 - (116171*s[23])/144 - (9590183*s[24])/3888 + 
       (81041599*s[25])/34992 - (50938795*s[26])/34992 - (2*s[30])/3 - 
       s[32] - (5*s[33])/3 - (2*s[34])/3 + (10*s[35])/3 + 2*s[36] + 
       (8*s[37])/9 - 20*s[38] + (226*s[39])/3 - (278*s[40])/3 + 
       (259*s[41])/3 - (274*s[42])/3 - (527*s[43])/3 + (1435*s[44])/12 - 
       (1105*s[45])/3 + 2078*s[46] + (5341*s[47])/72 - (9863*s[48])/72 + 
       (59495*s[49])/72 - (21341*s[50])/12 - (1513*s[51])/72 - 
       (533*s[52])/36 + (12583*s[53])/9 + 130*s[54] + (674143*s[55])/72 + 
       (133565*s[56])/72 + (83141*s[57])/27 + (1209151*s[58])/648 - 
       (1549261*s[59])/648 - (8272661*s[60])/432 + (724139*s[61])/729 - 
       4*s[70] + 4*s[77] - 8*s[79] + (4*s[80])/3 - 167*s[82] - 24*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Omega2[w, u, v]*
      (-2*s[2] - (27*s[3])/2 + (105*s[4])/4 - (1024*s[5])/33 - 
       (1558*s[6])/33 - (100391*s[7])/396 - (19309*s[8])/1188 + 
       (5368*s[9])/27 + (18515*s[10])/108 + (186929*s[11])/792 + 
       (130615*s[12])/792 + (5708*s[13])/99 + (113959*s[14])/396 + 
       (17213*s[15])/36 + (215093*s[16])/396 + (174433*s[17])/264 + 
       (23117*s[18])/324 + (21655*s[19])/324 + (2736067*s[20])/3564 + 
       (1212127*s[21])/3564 - (410147*s[22])/3564 + (222109*s[23])/792 - 
       (3005725*s[24])/7128 + (11711195*s[25])/64152 - 
       (13582421*s[26])/64152 + 2*s[30] - 2*s[34] - 8*s[35] - (14*s[36])/3 + 
       (31*s[37])/3 + 16*s[38] - (153*s[39])/2 + (451*s[40])/6 - 
       (125*s[41])/2 + (767*s[42])/6 + (271*s[43])/22 - (767*s[44])/33 - 
       (965*s[45])/11 + (4993*s[46])/22 + (3565*s[47])/44 - 
       (18499*s[48])/132 - (5201*s[49])/132 - (4287*s[50])/22 + 
       (40307*s[51])/396 + (1615*s[52])/22 + (33419*s[53])/198 + 
       (1180*s[54])/33 + (187213*s[55])/132 + (153431*s[56])/396 + 
       (929915*s[57])/594 - (278771*s[58])/3564 + (248909*s[59])/3564 - 
       (2069225*s[60])/792 + (2056345*s[61])/8019 - s[74] + s[75] + 
       16*s[79] - (8*s[80])/3 - 134*s[82] - 24*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*
      (9*s[2] - (1061*s[3])/12 - (2751*s[4])/8 - (734*s[5])/11 - 
       (93293*s[6])/264 - (19366753*s[7])/4752 + (3043553*s[8])/7128 + 
       (526639*s[9])/162 + (183119*s[10])/162 + (21434309*s[11])/4752 + 
       (12011753*s[12])/2376 + (14241373*s[13])/4752 - (85153*s[14])/4752 + 
       (2422679*s[15])/432 + (8388715*s[16])/1188 + (8464913*s[17])/1584 + 
       (527461*s[18])/972 + (1932985*s[19])/1944 + (165242587*s[20])/21384 + 
       (102157745*s[21])/42768 - (89047609*s[22])/42768 - 
       (12190471*s[23])/2376 - (103020977*s[24])/21384 + 
       (584998175*s[25])/96228 - (283634831*s[26])/96228 - 2*s[27] - 
       s[28]/3 - 2*s[29] - (8*s[30])/3 + (5*s[31])/3 + s[32] + (41*s[33])/4 - 
       (29*s[34])/3 + (19*s[35])/3 + (170*s[36])/9 - (136*s[37])/9 - 
       (439*s[38])/3 + (1001*s[39])/2 - (10153*s[40])/18 + (2585*s[41])/6 - 
       (12245*s[42])/18 - (100391*s[43])/198 + (412499*s[44])/792 - 
       (233449*s[45])/396 + (1732877*s[46])/396 - (128995*s[47])/2376 - 
       (567631*s[48])/2376 + (5647933*s[49])/2376 - (352093*s[50])/99 - 
       (969983*s[51])/2376 - (768611*s[52])/2376 + (1465073*s[53])/594 + 
       (40081*s[54])/198 + (12517061*s[55])/792 + (2941817*s[56])/792 - 
       (250201*s[57])/132 + (44344589*s[58])/7128 - (47531807*s[59])/7128 - 
       (540407449*s[60])/14256 + (117783883*s[61])/64152 - 2*s[64] + 
       3*s[66] - 2*s[67] + 12*s[68] - 10*s[69] + 6*s[70] - 2*s[72] - 
       (8*s[73])/3 + s[74]/2 - s[75]/2 - (22*s[77])/3 - (14*s[78])/3 - 
       54*s[79] + (121*s[80])/9 - 128*s[82] + 2*s[83] - 24*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((-57*s[2])/2 + (83*s[3])/2 - (9265*s[4])/4 - (276029*s[5])/176 - 
       (669249*s[6])/176 - (27939365*s[7])/792 + (14490161*s[8])/4752 + 
       (12926983*s[9])/432 + (3662267*s[10])/432 + (61725265*s[11])/1584 + 
       (68488205*s[12])/1584 + (856978*s[13])/33 + (642077*s[14])/198 + 
       (2202823*s[15])/48 + (7716809*s[16])/132 + (34326799*s[17])/792 + 
       (8981741*s[18])/1296 + (2783477*s[19])/648 + (491741171*s[20])/7128 + 
       (359429605*s[21])/14256 - (132910651*s[22])/7128 - 
       (6082553*s[23])/132 - (130940963*s[24])/3564 + 
       (12806195093*s[25])/256608 - (7013983553*s[26])/256608 - 8*s[30] - 
       20*s[31] + 15*s[32] - (81*s[33])/8 + 41*s[34] + (51*s[35])/2 + 
       (739*s[36])/6 - (3289*s[37])/24 - (5955*s[38])/4 + (47107*s[39])/8 - 
       (155353*s[40])/24 + (10141*s[41])/2 - (102877*s[42])/12 - 
       (1254383*s[43])/264 + (2690719*s[44])/528 - (2544053*s[45])/528 + 
       (7162159*s[46])/176 - (3790211*s[47])/1584 + (472003*s[48])/1584 + 
       (33868757*s[49])/1584 - (4085761*s[50])/132 - (9466375*s[51])/1584 - 
       (7760461*s[52])/1584 + (11226617*s[53])/528 - (146293*s[54])/88 + 
       (70220461*s[55])/528 + (56462653*s[56])/1584 - 
       (116847329*s[57])/2376 + (476452843*s[58])/7128 - 
       (959557667*s[59])/14256 - (1549678855*s[60])/4752 + 
       (4334071981*s[61])/256608 + 6*s[66] - 6*s[67] + 6*s[68] - 18*s[69] + 
       (45*s[70])/2 + (27*s[71])/4 - 30*s[72] + 10*s[73] + (129*s[74])/4 - 
       (129*s[75])/4 + 24*s[76] - (11*s[77])/2 - 38*s[78] - 502*s[79] + 
       (821*s[80])/12 + 501*s[82] + 6*s[83] - 216*s[84] - 24*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Omega2[v, w, u]*
      ((-13*s[2])/3 - (37*s[3])/3 - (1184*s[4])/3 - (39781*s[5])/132 - 
       (24206*s[6])/33 - (1307789*s[7])/198 + (323513*s[8])/594 + 
       (150662*s[9])/27 + (187057*s[10])/108 + (5729275*s[11])/792 + 
       (6262469*s[12])/792 + (466660*s[13])/99 + (355043*s[14])/396 + 
       (315305*s[15])/36 + (1101187*s[16])/99 + (2265485*s[17])/264 + 
       (101569*s[18])/81 + (298319*s[19])/324 + (47048303*s[20])/3564 + 
       (8527747*s[21])/1782 - (12376489*s[22])/3564 - (6129685*s[23])/792 - 
       (50750435*s[24])/7128 + (294752009*s[25])/32076 - 
       (40617239*s[26])/8019 - (2*s[30])/3 - (4*s[31])/3 + (4*s[32])/3 + 
       (17*s[33])/6 + (4*s[34])/3 + (16*s[35])/3 + (40*s[36])/3 - 28*s[37] - 
       212*s[38] + (2710*s[39])/3 - (3062*s[40])/3 + (2396*s[41])/3 - 
       (3962*s[42])/3 - (25654*s[43])/33 + (111775*s[44])/132 - 
       (62309*s[45])/66 + (161025*s[46])/22 - (31154*s[47])/99 - 
       (9572*s[48])/99 + (351962*s[49])/99 - (370565*s[50])/66 - 
       (90868*s[51])/99 - (289939*s[52])/396 + (386795*s[53])/99 - 
       (7985*s[54])/33 + (4909621*s[55])/198 + (661433*s[56])/99 - 
       (3899875*s[57])/594 + (20380199*s[58])/1782 - (10233871*s[59])/891 - 
       (70722049*s[60])/1188 + (26049967*s[61])/8019 - (8*s[72])/3 + 
       (14*s[74])/3 - (14*s[75])/3 + (8*s[76])/3 - (4*s[78])/3 - 92*s[79] + 
       (88*s[80])/3 - 136*s[82] - s[83] - 46*s[84] - 24*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      (-6*s[2] - (55*s[3])/2 - (3197*s[4])/4 - (21195*s[5])/44 - 
       (59859*s[6])/44 - (9301123*s[7])/792 + (1236791*s[8])/1188 + 
       (266929*s[9])/27 + (300221*s[10])/108 + (5143975*s[11])/396 + 
       (11419423*s[12])/792 + (6986365*s[13])/792 + (783929*s[14])/792 + 
       (1090223*s[15])/72 + (1918388*s[16])/99 + (316813*s[17])/22 + 
       (353773*s[18])/162 + (125776*s[19])/81 + (20133634*s[20])/891 + 
       (58243151*s[21])/7128 - (43854049*s[22])/7128 - (11980607*s[23])/792 - 
       (87906103*s[24])/7128 + (268950221*s[25])/16038 - 
       (291340501*s[26])/32076 - 2*s[30] - 4*s[31] - 3*s[33] + 10*s[34] + 
       (21*s[35])/2 + (77*s[36])/3 - (104*s[37])/3 - 539*s[38] + 
       (7819*s[39])/4 - (25829*s[40])/12 + (6729*s[41])/4 - 
       (33319*s[42])/12 - (225523*s[43])/132 + (445919*s[44])/264 - 
       (119869*s[45])/66 + (629969*s[46])/44 - (582727*s[47])/792 - 
       (41857*s[48])/792 + (5895313*s[49])/792 - (717443*s[50])/66 - 
       (1554605*s[51])/792 - (1291073*s[52])/792 + (331611*s[53])/44 - 
       (10889*s[54])/22 + (12590659*s[55])/264 + (9944003*s[56])/792 - 
       (4405300*s[57])/297 + (163132741*s[58])/7128 - 
       (165721159*s[59])/7128 - (553568203*s[60])/4752 + 
       (384918565*s[61])/64152 + 7*s[71] - 8*s[72] + 7*s[74] - 7*s[75] + 
       8*s[76] + 4*s[77] - 8*s[78] - 168*s[79] + (8*s[80])/3 + 228*s[82] + 
       6*s[83] - 36*s[84] - 24*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*(-6*s[2] - 29*s[3] - 871*s[4] - (27375*s[5])/44 - 
       (15954*s[6])/11 - (153533*s[7])/11 + (651085*s[8])/594 + 
       (641735*s[9])/54 + (387803*s[10])/108 + (12145775*s[11])/792 + 
       (13287667*s[12])/792 + (1004017*s[13])/99 + (629533*s[14])/396 + 
       (673745*s[15])/36 + (9255271*s[16])/396 + (14172203*s[17])/792 + 
       (200570*s[18])/81 + (686749*s[19])/324 + (98654731*s[20])/3564 + 
       (35726899*s[21])/3564 - (6565682*s[22])/891 - (12792925*s[23])/792 - 
       (108842017*s[24])/7128 + (628190479*s[25])/32076 - 
       (172396247*s[26])/16038 - 2*s[30] - 4*s[31] - 14*s[33] + 22*s[34] + 
       (21*s[35])/2 + (77*s[36])/3 - (104*s[37])/3 - 539*s[38] + 
       (7819*s[39])/4 - (25829*s[40])/12 + (6729*s[41])/4 - 
       (33319*s[42])/12 - (225523*s[43])/132 + (445919*s[44])/264 - 
       (119869*s[45])/66 + (629969*s[46])/44 - (582727*s[47])/792 - 
       (41857*s[48])/792 + (5895313*s[49])/792 - (717443*s[50])/66 - 
       (1554605*s[51])/792 - (1291073*s[52])/792 + (331611*s[53])/44 - 
       (10889*s[54])/22 + (12590659*s[55])/264 + (9944003*s[56])/792 - 
       (4405300*s[57])/297 + (163132741*s[58])/7128 - 
       (165721159*s[59])/7128 - (553568203*s[60])/4752 + 
       (384918565*s[61])/64152 + 7*s[71] - 8*s[72] + 7*s[74] - 7*s[75] + 
       8*s[76] + 4*s[77] - 8*s[78] - 168*s[79] + (8*s[80])/3 + 228*s[82] + 
       6*s[83] - 36*s[84] - 24*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*((-169*s[2])/36 - (71*s[3])/144 - 
       (10419*s[4])/32 - (145999*s[5])/528 - (112957*s[6])/176 - 
       (164959133*s[7])/28512 + (39717299*s[8])/85536 + 
       (19100381*s[9])/3888 + (12114233*s[10])/7776 + 
       (360287897*s[11])/57024 + (391284403*s[12])/57024 + 
       (116102465*s[13])/28512 + (24910651*s[14])/28512 + 
       (20100337*s[15])/2592 + (278898011*s[16])/28512 + 
       (48163475*s[17])/6336 + (27201377*s[18])/23328 + 
       (17211433*s[19])/23328 + (93924320*s[20])/8019 + 
       (35007770*s[21])/8019 - (782280041*s[22])/256608 - 
       (381739271*s[23])/57024 - (3179876281*s[24])/513216 + 
       (36620513879*s[25])/4618944 - (20788410227*s[26])/4618944 - 
       (23*s[30])/12 - (11*s[31])/6 + (53*s[32])/36 + (25*s[33])/24 + 
       (14*s[34])/9 + s[35] + (1745*s[36])/108 - (2269*s[37])/216 - 
       (2201*s[38])/12 + (113749*s[39])/144 - (381419*s[40])/432 + 
       (101255*s[41])/144 - (500473*s[42])/432 - (287735*s[43])/432 + 
       (628393*s[44])/864 - (115927*s[45])/144 + (171851*s[46])/27 - 
       (362521*s[47])/1296 - (50899*s[48])/1296 + (3956863*s[49])/1296 - 
       (2120825*s[50])/432 - (65285*s[51])/81 - (1680127*s[52])/2592 + 
       (2203541*s[53])/648 - (17107*s[54])/108 + (2331773*s[55])/108 + 
       (7575493*s[56])/1296 - (2916845*s[57])/486 + (58737091*s[58])/5832 - 
       (117885941*s[59])/11664 - (100030219*s[60])/1944 + 
       (301232861*s[61])/104976 + s[68]/6 - s[69]/6 + s[70] + s[71]/4 - 
       (11*s[72])/3 + (23*s[74])/6 - (23*s[75])/6 + (7*s[76])/6 - 
       (2*s[77])/9 - (22*s[78])/9 - (644*s[79])/9 + (527*s[80])/36 - 
       (387*s[82])/4 - 35*s[84] - 24*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Nt[u, v, w]*((-7*s[2])/2 - (73*s[3])/6 - (1871*s[4])/8 - 
       (6052*s[5])/33 - (40037*s[6])/88 - (3193727*s[7])/792 + 
       (2318653*s[8])/7128 + (2206301*s[9])/648 + (350273*s[10])/324 + 
       (10491143*s[11])/2376 + (5713931*s[12])/1188 + (6820271*s[13])/2376 + 
       (1387847*s[14])/2376 + (289939*s[15])/54 + (16206365*s[16])/2376 + 
       (6296377*s[17])/1188 + (1487497*s[18])/1944 + (139816*s[19])/243 + 
       (173132843*s[20])/21384 + (63096983*s[21])/21384 - 
       (5659562*s[22])/2673 - (10921687*s[23])/2376 - (11726798*s[24])/2673 + 
       (2151363127*s[25])/384912 - (1194439153*s[26])/384912 - s[30]/6 - 
       s[31] + (2*s[32])/3 + (13*s[33])/24 + s[34]/6 + s[35]/3 + 
       (20*s[36])/3 - (197*s[37])/18 - (379*s[38])/3 + (2137*s[39])/4 - 
       (7283*s[40])/12 + (5701*s[41])/12 - (9319*s[42])/12 - 
       (20993*s[43])/44 + (33683*s[44])/66 - (57982*s[45])/99 + 
       (1767103*s[46])/396 - (22687*s[47])/132 - (3062*s[48])/33 + 
       (47803*s[49])/22 - (226549*s[50])/66 - (212987*s[51])/396 - 
       (56443*s[52])/132 + (1417741*s[53])/594 - (10619*s[54])/99 + 
       (6020533*s[55])/396 + (1208668*s[56])/297 - (13264903*s[57])/3564 + 
       (73780499*s[58])/10692 - (37153135*s[59])/5346 - 
       (43400215*s[60])/1188 + (385006609*s[61])/192456 - 2*s[72] + 
       (13*s[74])/6 - (13*s[75])/6 + 2*s[76] + s[77]/3 - (4*s[78])/3 - 
       (160*s[79])/3 + (151*s[80])/9 - 108*s[82] - 24*s[84] - 24*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*
      ((-19*s[2])/8 - (85*s[3])/24 - (11425*s[4])/96 - (18687*s[5])/176 - 
       (812615*s[6])/3168 - (86776565*s[7])/38016 + (3173557*s[8])/19008 + 
       (3345389*s[9])/1728 + (1129141*s[10])/1728 + (31468753*s[11])/12672 + 
       (1053487*s[12])/396 + (60711685*s[13])/38016 + (1665151*s[14])/4224 + 
       (3578333*s[15])/1152 + (74078165*s[16])/19008 + 
       (118694549*s[17])/38016 + (694303*s[18])/1728 + (53461*s[19])/144 + 
       (88135853*s[20])/19008 + (194165825*s[21])/114048 - 
       (136876343*s[22])/114048 - (21571289*s[23])/9504 - 
       (73142255*s[24])/28512 + (1598267437*s[25])/513216 - 
       (449554679*s[26])/256608 - (5*s[30])/12 - (2*s[31])/3 + (3*s[32])/8 - 
       (19*s[33])/32 + (13*s[34])/24 + (9*s[35])/8 + (239*s[36])/36 + 
       (967*s[37])/288 - (9853*s[38])/144 + (19993*s[39])/72 - 
       (23009*s[40])/72 + (8319*s[41])/32 - (113785*s[42])/288 - 
       (75523*s[43])/264 + (3685115*s[44])/12672 - (2283917*s[45])/6336 + 
       (16674599*s[46])/6336 - (1870153*s[47])/38016 - 
       (4761217*s[48])/38016 + (49430323*s[49])/38016 - (22778*s[50])/11 - 
       (1127249*s[51])/4224 - (7764563*s[52])/38016 + 
       (27526669*s[53])/19008 + (16435*s[54])/792 + (39433045*s[55])/4224 + 
       (30075655*s[56])/12672 - (23693719*s[57])/19008 + 
       (144827227*s[58])/38016 - (149428991*s[59])/38016 - 
       (5069340919*s[60])/228096 + (606487345*s[61])/513216 + s[66]/4 - 
       s[67]/4 + s[68]/2 - s[69] - s[70]/4 + (5*s[71])/16 - s[72] + s[73]/3 + 
       (7*s[74])/8 - (7*s[75])/8 + s[76]/4 + (7*s[77])/6 - (7*s[78])/6 - 
       (105*s[79])/4 + (709*s[80])/144 - (389*s[82])/4 - s[83]/4 - 
       (45*s[84])/4 - 24*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - v]*((-103*s[2])/48 - (1295*s[3])/96 - 
       (54727*s[4])/576 - (88105*s[5])/1056 - (9613*s[6])/44 - 
       (104499761*s[7])/57024 + (23701889*s[8])/171072 + 
       (2986289*s[9])/1944 + (8203031*s[10])/15552 + (226997537*s[11])/
        114048 + (244080457*s[12])/114048 + (72271025*s[13])/57024 + 
       (19924075*s[14])/57024 + (12936889*s[15])/5184 + 
       (44974541*s[16])/14256 + (32029315*s[17])/12672 + 
       (15971285*s[18])/46656 + (13329733*s[19])/46656 + 
       (482694943*s[20])/128304 + (705859075*s[21])/513216 - 
       (244583215*s[22])/256608 - (211620479*s[23])/114048 - 
       (2117029471*s[24])/1026432 + (23035822331*s[25])/9237888 - 
       (13038232919*s[26])/9237888 - (19*s[30])/72 - s[31]/2 + s[32]/16 - 
       (17*s[33])/16 - (125*s[34])/72 - (13*s[35])/6 - s[36]/12 - 
       (1507*s[37])/864 - (2161*s[38])/48 + (53009*s[39])/288 - 
       (6897*s[40])/32 + (6085*s[41])/36 - (2323*s[42])/9 - 
       (644695*s[43])/3168 + (317261*s[44])/1584 - (5587277*s[45])/19008 + 
       (38136929*s[46])/19008 - (445349*s[47])/19008 - 
       (2320871*s[48])/19008 + (17312843*s[49])/19008 - 
       (4907125*s[50])/3168 - (1071151*s[51])/6336 - (1337627*s[52])/9504 + 
       (62523943*s[53])/57024 - (234383*s[54])/9504 + 
       (136347625*s[55])/19008 + (109638317*s[56])/57024 - 
       (1946816*s[57])/2673 + (737032427*s[58])/256608 - 
       (1496917357*s[59])/513216 - (321259997*s[60])/19008 + 
       (8937328481*s[61])/9237888 - s[66]/4 + s[67]/4 - s[68]/4 + s[69] - 
       s[70]/2 + s[71]/16 - (19*s[72])/36 + (19*s[73])/36 + (11*s[74])/144 - 
       (11*s[75])/144 + (47*s[76])/36 + s[77]/72 - s[78]/36 - 
       (611*s[79])/36 + (2615*s[80])/432 - (439*s[82])/4 - (3*s[83])/8 - 
       (32*s[84])/3 - (47*s[85])/2) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*((-133*s[2])/36 - (505*s[3])/144 - 
       (69667*s[4])/288 - (17437*s[5])/99 - (685601*s[6])/1584 - 
       (28862971*s[7])/7128 + (27368303*s[8])/85536 + (1671103*s[9])/486 + 
       (8478281*s[10])/7776 + (254609093*s[11])/57024 + 
       (278333653*s[12])/57024 + (13945295*s[13])/4752 + 
       (7137821*s[14])/14256 + (1153649*s[15])/216 + (65024009*s[16])/9504 + 
       (299069491*s[17])/57024 + (16824041*s[18])/23328 + 
       (14698519*s[19])/23328 + (1035365603*s[20])/128304 + 
       (744890041*s[21])/256608 - (137555111*s[22])/64152 - 
       (86725951*s[23])/19008 - (2286577435*s[24])/513216 + 
       (26237409521*s[25])/4618944 - (14290775105*s[26])/4618944 - 
       (2*s[30])/3 - s[31] + (5*s[32])/36 + s[33]/16 + (77*s[34])/36 + 
       (83*s[35])/18 + (553*s[36])/54 - (193*s[37])/54 - (5213*s[38])/36 + 
       (5179*s[39])/9 - (17501*s[40])/27 + (37103*s[41])/72 - 
       (178187*s[42])/216 - (620611*s[43])/1188 + (2636605*s[44])/4752 - 
       (690203*s[45])/1188 + (603067*s[46])/132 - (4715881*s[47])/28512 - 
       (3389347*s[48])/28512 + (68510809*s[49])/28512 - 
       (16881001*s[50])/4752 - (16352939*s[51])/28512 - 
       (6251059*s[52])/14256 + (719974*s[53])/297 + (45053*s[54])/792 + 
       (145811423*s[55])/9504 + (112576763*s[56])/28512 - 
       (86899451*s[57])/21384 + (1816370605*s[58])/256608 - 
       (1843448995*s[59])/256608 - (6475765315*s[60])/171072 + 
       (1120516327*s[61])/577368 + s[68]/2 - s[69]/2 - (13*s[70])/9 + 
       s[71]/2 - 2*s[72] + (43*s[74])/18 - (43*s[75])/18 + 2*s[76] + 
       (35*s[77])/18 - s[78] - (496*s[79])/9 + (311*s[80])/27 - 
       (959*s[82])/12 - 24*s[84] - (70*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((-68*s[2])/9 + (27*s[3])/4 + (397*s[4])/24 - (9175*s[5])/132 - 
       (415235*s[6])/1584 - (5485079*s[7])/7128 - (101731*s[8])/42768 + 
       (2650507*s[9])/3888 + (357031*s[10])/1944 + (23342285*s[11])/28512 + 
       (24420757*s[12])/28512 + (99181*s[13])/198 + (10002181*s[14])/14256 + 
       (166447*s[15])/216 + (2819381*s[16])/2376 + (27917029*s[17])/28512 + 
       (2624287*s[18])/5832 - (929201*s[19])/2916 + (246519595*s[20])/
        128304 + (131822947*s[21])/128304 - (25072717*s[22])/64152 - 
       (3062579*s[23])/3168 - (112303417*s[24])/256608 + 
       (1634536121*s[25])/2309472 - (1793011505*s[26])/2309472 - 
       (4*s[30])/9 + 2*s[32] + (17*s[33])/2 - (59*s[34])/9 + (7*s[35])/9 - 
       (449*s[36])/27 - (280*s[37])/27 - (149*s[38])/6 + (2039*s[39])/18 - 
       (7523*s[40])/54 + (3775*s[41])/36 - (4850*s[42])/27 - 
       (144737*s[43])/1188 + (152899*s[44])/2376 - (315263*s[45])/2376 + 
       (792233*s[46])/792 - (962155*s[47])/14256 - (1628293*s[48])/14256 + 
       (672031*s[49])/3564 - (1213813*s[50])/2376 - (250303*s[51])/1782 - 
       (1177195*s[52])/7128 + (47357*s[53])/132 - (515761*s[54])/792 + 
       (3769811*s[55])/1584 + (11002813*s[56])/7128 - 
       (46264993*s[57])/21384 + (129463739*s[58])/64152 - 
       (50569393*s[59])/32076 - (68087225*s[60])/10692 + 
       (709445521*s[61])/1154736 + s[62]/2 - 2*s[66] + 2*s[67] + 4*s[69] - 
       2*s[70] + (5*s[71])/2 + 4*s[73] - (23*s[74])/18 + (23*s[75])/18 + 
       6*s[76] + 6*s[78] - (356*s[79])/9 + (887*s[80])/54 + (731*s[82])/6 - 
       24*s[84] - (68*s[85])/3) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3*((-199*s[2])/72 - (2269*s[3])/288 - 
       (68635*s[4])/576 - (343415*s[5])/3168 - (821335*s[6])/3168 - 
       (7253573*s[7])/3168 + (3206639*s[8])/19008 + (209455*s[9])/108 + 
       (1128935*s[10])/1728 + (31700587*s[11])/12672 + 
       (34171435*s[12])/12672 + (5089049*s[13])/3168 + (318113*s[14])/792 + 
       (1328995*s[15])/432 + (24758359*s[16])/6336 + (4355705*s[17])/1408 + 
       (2216669*s[18])/5184 + (1817569*s[19])/5184 + (66619873*s[20])/14256 + 
       (97806295*s[21])/57024 - (2144383*s[22])/1782 - 
       (29796539*s[23])/12672 - (291339265*s[24])/114048 + 
       (3213728981*s[25])/1026432 - (1807965737*s[26])/1026432 + s[30]/9 - 
       s[31]/2 + (5*s[32])/72 - s[33]/288 - (17*s[34])/72 - (7*s[35])/18 + 
       (731*s[36])/216 - (397*s[37])/432 - (1687*s[38])/24 + 
       (80347*s[39])/288 - (275549*s[40])/864 + (24347*s[41])/96 - 
       (341191*s[42])/864 - (2625691*s[43])/9504 + (5421473*s[44])/19008 - 
       (3317663*s[45])/9504 + (1348805*s[46])/528 - (107477*s[47])/1782 - 
       (850691*s[48])/7128 + (35913455*s[49])/28512 - (18867523*s[50])/9504 - 
       (1942327*s[51])/7128 - (12060527*s[52])/57024 + (6533245*s[53])/4752 + 
       (10969*s[54])/1584 + (83948627*s[55])/9504 + (66089191*s[56])/28512 - 
       (33670171*s[57])/21384 + (243555593*s[58])/64152 - 
       (986653271*s[59])/256608 - (913444865*s[60])/42768 + 
       (2677386941*s[61])/2309472 + s[68]/4 - s[69]/4 - (13*s[70])/18 + 
       s[71]/4 - s[72] + (7*s[74])/9 - (7*s[75])/9 + (7*s[76])/6 + 
       (35*s[77])/36 - s[78]/2 - (209*s[79])/9 + (1187*s[80])/216 - 
       (2071*s[82])/24 - (25*s[84])/2 - (68*s[85])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*
      ((-7*s[2])/3 - (493*s[3])/48 - (37867*s[4])/96 - (304189*s[5])/1056 - 
       (190525*s[6])/264 - (122710237*s[7])/19008 + (1834223*s[8])/3564 + 
       (1771009*s[9])/324 + (4366573*s[10])/2592 + (134819899*s[11])/19008 + 
       (73751155*s[12])/9504 + (29596885*s[13])/6336 + 
       (16805791*s[14])/19008 + (4935551*s[15])/576 + (17250389*s[16])/1584 + 
       (159079595*s[17])/19008 + (4652015*s[18])/3888 + (223609*s[19])/243 + 
       (551256979*s[20])/42768 + (801351961*s[21])/171072 - 
       (582509387*s[22])/171072 - (11845391*s[23])/1584 - 
       (150281779*s[24])/21384 + (13879603561*s[25])/1539648 - 
       (7663253845*s[26])/1539648 - s[30] - s[31]/3 + (35*s[32])/24 + 
       (11*s[33])/32 + (17*s[34])/24 + 2*s[35] + (2173*s[36])/144 - 
       (3461*s[37])/144 - (3521*s[38])/16 + (171823*s[39])/192 - 
       (582961*s[40])/576 + (152557*s[41])/192 - (748403*s[42])/576 - 
       (4952195*s[43])/6336 + (10606063*s[44])/12672 - (171829*s[45])/198 + 
       (43962109*s[46])/6336 - (11431421*s[47])/38016 - 
       (4309691*s[48])/38016 + (133743767*s[49])/38016 - 
       (4195759*s[50])/792 - (33995119*s[51])/38016 - 
       (27853129*s[52])/38016 + (69512075*s[53])/19008 - 
       (786691*s[54])/3168 + (294487129*s[55])/12672 + 
       (79844287*s[56])/12672 - (21826685*s[57])/3168 + 
       (1256542489*s[58])/114048 - (1267224055*s[59])/114048 - 
       (12888185657*s[60])/228096 + (3090939947*s[61])/1026432 + s[66]/6 - 
       s[67]/6 + (2*s[68])/3 - s[69] + (7*s[70])/3 + (47*s[71])/48 - 
       (10*s[72])/3 + (2*s[73])/3 + (33*s[74])/8 - (33*s[75])/8 + 
       (13*s[76])/6 - (5*s[77])/6 - (7*s[78])/3 - (310*s[79])/3 + 
       (905*s[80])/36 - (311*s[82])/4 - (3*s[83])/4 - 41*s[84] - 22*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*
      ((-5*s[2])/4 - (81*s[3])/8 - (1647*s[4])/32 - (44453*s[5])/704 - 
       (306073*s[6])/2112 - (2729669*s[7])/2112 + (1548101*s[8])/19008 + 
       (1891099*s[9])/1728 + (749393*s[10])/1728 + (8698381*s[11])/6336 + 
       (2246117*s[12])/1584 + (5154539*s[13])/6336 + (1117943*s[14])/3168 + 
       (67361*s[15])/36 + (14515241*s[16])/6336 + (2075749*s[17])/1056 + 
       (599833*s[18])/2592 + (1219585*s[19])/5184 + (159557767*s[20])/57024 + 
       (14803477*s[21])/14256 - (38385365*s[22])/57024 - 
       (6178309*s[23])/6336 - (43663909*s[24])/28512 + 
       (1711083227*s[25])/1026432 - (1015979963*s[26])/1026432 + s[31]/2 - 
       s[33]/8 - (11*s[34])/4 + s[35]/8 + (13*s[36])/6 + (1859*s[37])/288 - 
       (329*s[38])/16 + (4337*s[39])/48 - (5405*s[40])/48 + (3065*s[41])/32 - 
       (12025*s[42])/96 - (21817*s[43])/176 + (509183*s[44])/4224 - 
       (412879*s[45])/2112 + (2669809*s[46])/2112 + (173539*s[47])/12672 - 
       (1371389*s[48])/12672 + (7203143*s[49])/12672 - (33788*s[50])/33 - 
       (1072565*s[51])/12672 - (686335*s[52])/12672 + (4612975*s[53])/6336 + 
       (24019*s[54])/528 + (20310779*s[55])/4224 + (14971001*s[56])/12672 + 
       (3626303*s[57])/19008 + (185672539*s[58])/114048 - 
       (195202531*s[59])/114048 - (844901039*s[60])/76032 + 
       (78477431*s[61])/128304 - s[66]/4 + s[67]/4 + s[69]/2 - (3*s[70])/4 + 
       s[71]/16 - s[74]/8 + s[75]/8 - s[76]/4 + s[77] + s[78]/2 - 
       (47*s[79])/4 + (163*s[80])/48 - (441*s[82])/4 - (3*s[83])/8 - 
       (9*s[84])/2 - 22*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 1}, 1 - v]*((7*s[2])/6 - (4429*s[3])/144 - (4141*s[4])/32 - 
       (123053*s[5])/1584 - (273665*s[6])/1056 - (6642035*s[7])/3168 + 
       (3621239*s[8])/21384 + (13303861*s[9])/7776 + (5195999*s[10])/7776 + 
       (64913677*s[11])/28512 + (4286519*s[12])/1782 + (1284314*s[13])/891 + 
       (11545111*s[14])/28512 + (7761353*s[15])/2592 + 
       (107303719*s[16])/28512 + (89544709*s[17])/28512 + 
       (7425119*s[18])/23328 + (10544359*s[19])/23328 + 
       (1103494687*s[20])/256608 + (393990133*s[21])/256608 - 
       (276585083*s[22])/256608 - (13201469*s[23])/7128 - 
       (82047589*s[24])/32076 + (6652217899*s[25])/2309472 - 
       (3692468377*s[26])/2309472 - s[27]/6 + (5*s[30])/36 + (10*s[31])/3 - 
       (7*s[32])/72 + (217*s[33])/144 - (365*s[34])/36 - (5*s[35])/18 - 
       (13*s[36])/72 + (1313*s[37])/216 - (3007*s[38])/72 + 
       (18107*s[39])/96 - (63677*s[40])/288 + (51535*s[41])/288 - 
       (76939*s[42])/288 - (73363*s[43])/352 + (693997*s[44])/3168 - 
       (624655*s[45])/2376 + (18269455*s[46])/9504 - (19889*s[47])/3168 - 
       (36851*s[48])/264 + (3141955*s[49])/3168 - (605317*s[50])/396 - 
       (774967*s[51])/4752 - (59095*s[52])/528 + (30698171*s[53])/28512 + 
       (209437*s[54])/2376 + (16588285*s[55])/2376 + (50047357*s[56])/28512 - 
       (56235283*s[57])/85536 + (173674781*s[58])/64152 - 
       (182954951*s[59])/64152 - (944034461*s[60])/57024 + 
       (508670795*s[61])/577368 - s[66] + s[67] + s[68] + (5*s[70])/6 - 
       (7*s[71])/24 - (2*s[72])/3 - s[73] + (7*s[74])/36 - (7*s[75])/36 - 
       (3*s[76])/2 + (2*s[77])/9 + (23*s[78])/18 - (337*s[79])/18 + 
       (839*s[80])/108 - (781*s[82])/6 - 8*s[84] - (64*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      (s[2]/36 - (361*s[3])/8 + (12869*s[4])/48 - (17759*s[5])/264 + 
       (34405*s[6])/396 + (25356667*s[7])/28512 - (626446*s[8])/2673 - 
       (2739509*s[9])/3888 + (688729*s[10])/1944 - (17905991*s[11])/14256 - 
       (55408457*s[12])/28512 - (4457231*s[13])/3168 + 
       (31470449*s[14])/28512 - (134435*s[15])/864 - (1711447*s[16])/2376 + 
       (3037757*s[17])/3564 - (282425*s[18])/1458 + (2224567*s[19])/11664 - 
       (2360351*s[20])/8019 + (47662883*s[21])/256608 + 
       (130599611*s[22])/256608 + (14133535*s[23])/3168 + 
       (48793961*s[24])/256608 - (5000336269*s[25])/2309472 + 
       (1481614549*s[26])/2309472 + (11*s[30])/9 + 5*s[31] + 2*s[32] + 
       s[33]/8 - (164*s[34])/9 - (259*s[35])/18 - (473*s[36])/27 + 
       (4619*s[37])/108 + (491*s[38])/3 - (45775*s[39])/72 + 
       (145501*s[40])/216 - (37039*s[41])/72 + (205061*s[42])/216 + 
       (890729*s[43])/2376 - (248969*s[44])/594 + (115673*s[45])/1188 - 
       (1870447*s[46])/792 + (5631755*s[47])/14256 - (4599169*s[48])/14256 - 
       (5270909*s[49])/3564 + (3669377*s[50])/2376 + (4965119*s[51])/7128 + 
       (4390733*s[52])/7128 - (250253*s[53])/264 + (616553*s[54])/792 - 
       (8153473*s[55])/1584 - (14786459*s[56])/7128 + (22483369*s[57])/2673 - 
       (85104559*s[58])/16038 + (318869329*s[59])/64152 + 
       (674270401*s[60])/42768 - (788162477*s[61])/1154736 + 2*s[66] - 
       2*s[67] - s[68] - 4*s[69] - s[70] - s[71]/2 + 3*s[72] - s[73] - 
       (175*s[74])/36 + (193*s[75])/36 - 9*s[76] + s[77]/2 + (880*s[79])/9 - 
       (575*s[80])/27 - (2113*s[82])/6 + (21*s[83])/4 + (93*s[84])/2 - 
       (62*s[85])/3) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]^2*((59*s[2])/12 - (1183*s[3])/36 - 
       (97357*s[4])/144 - (126833*s[5])/396 - (810665*s[6])/792 - 
       (249783745*s[7])/28512 + (5812405*s[8])/7128 + (4750367*s[9])/648 + 
       (1298989*s[10])/648 + (15324521*s[11])/1584 + (102768691*s[12])/9504 + 
       (186038693*s[13])/28512 + (2081759*s[14])/3168 + 
       (29264923*s[15])/2592 + (205995715*s[16])/14256 + 
       (150641825*s[17])/14256 + (2291909*s[18])/1296 + (411227*s[19])/432 + 
       (241583929*s[20])/14256 + (518356885*s[21])/85536 - 
       (393531991*s[22])/85536 - (351782953*s[23])/28512 - 
       (761731621*s[24])/85536 + (9649999087*s[25])/769824 - 
       (5201558017*s[26])/769824 - (457*s[30])/36 + (17*s[31])/9 - 
       (107*s[32])/24 + (281*s[33])/48 - (2*s[34])/9 + (247*s[35])/12 + 
       (4267*s[36])/108 - (3715*s[37])/216 - (25249*s[38])/72 + 
       (34195*s[39])/24 - (352439*s[40])/216 + (192227*s[41])/144 - 
       (897839*s[42])/432 - (3056737*s[43])/2376 + (12937357*s[44])/9504 - 
       (1775855*s[45])/1188 + (13876255*s[46])/1188 - 
       (12330557*s[47])/28512 - (7771937*s[48])/28512 + 
       (161594303*s[49])/28512 - (42605747*s[50])/4752 - 
       (42290599*s[51])/28512 - (34050853*s[52])/28512 + 
       (22213973*s[53])/3564 - (1813007*s[54])/4752 + (41901071*s[55])/1056 + 
       (102979507*s[56])/9504 - (24860723*s[57])/2376 + 
       (1562994685*s[58])/85536 - (1574054521*s[59])/85536 - 
       (16262443949*s[60])/171072 + (3984194303*s[61])/769824 + s[64]/4 - 
       (5*s[65])/8 + (2*s[66])/3 + s[67]/3 + (8*s[68])/3 - (13*s[69])/2 - 
       (3*s[70])/4 + (43*s[71])/8 - 2*s[72] - (79*s[73])/9 + (15*s[74])/2 - 
       (15*s[75])/2 - (53*s[76])/12 + (55*s[77])/36 + (37*s[78])/18 - 
       173*s[79] + (2129*s[80])/108 + s[81]/24 + (245*s[82])/2 + 
       (23*s[83])/6 - (145*s[84])/2 - (61*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[w, v, u]*((-5*s[2])/2 - (23*s[3])/3 + 
       3*s[4] - (3823*s[5])/132 - (2665*s[6])/44 - (15655*s[7])/33 + 
       (28703*s[8])/3564 + (129457*s[9])/324 + (71531*s[10])/324 + 
       (599167*s[11])/1188 + (575459*s[12])/1188 + (164111*s[13])/594 + 
       (68500*s[14])/297 + (75773*s[15])/108 + (265774*s[16])/297 + 
       (502481*s[17])/594 + (73907*s[18])/972 + (31243*s[19])/243 + 
       (2997565*s[20])/2673 + (4582519*s[21])/10692 - (655388*s[22])/2673 + 
       (7006*s[23])/297 - (3538885*s[24])/5346 + (108575675*s[25])/192456 - 
       (69326603*s[26])/192456 + (4*s[30])/3 - s[32]/3 + s[33]/6 - 
       (4*s[34])/3 - (8*s[35])/3 - (8*s[36])/3 + (83*s[37])/9 - 
       (11*s[38])/6 + (19*s[39])/4 - (205*s[40])/12 + (131*s[41])/6 + 
       (25*s[42])/3 - (9055*s[43])/132 + (15919*s[44])/264 - 
       (14020*s[45])/99 + (303241*s[46])/396 + (13727*s[47])/198 - 
       (70655*s[48])/396 + (34877*s[49])/99 - (7242*s[50])/11 + 
       (377*s[51])/33 + (25855*s[52])/792 + (272209*s[53])/594 + 
       (55531*s[54])/396 + (1238029*s[55])/396 + (211612*s[56])/297 + 
       (3842117*s[57])/3564 + (7554971*s[58])/10692 - (4107547*s[59])/5346 - 
       (4383745*s[60])/594 + (79986367*s[61])/192456 + s[68] - s[69] - 
       2*s[70] - (5*s[74])/6 + (5*s[75])/6 + (7*s[77])/3 + (2*s[78])/3 + 
       (20*s[79])/3 - (8*s[80])/9 - 112*s[82] - 20*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*M1[u, v, w]*((-5*s[2])/3 - (13*s[3])/2 - 
       (11*s[4])/2 - (1228*s[5])/33 - (6507*s[6])/88 - (508237*s[7])/792 + 
       (7013*s[8])/264 + (4357*s[9])/8 + (3071*s[10])/12 + 
       (354943*s[11])/528 + (117803*s[12])/176 + (149209*s[13])/396 + 
       (11647*s[14])/44 + (7517*s[15])/8 + (115039*s[16])/99 + 
       (1671977*s[17])/1584 + (5951*s[18])/54 + (3725*s[19])/27 + 
       (1746923*s[20])/1188 + (1301909*s[21])/2376 - (263069*s[22])/792 - 
       (276461*s[23])/1584 - (1292807*s[24])/1584 + (33333565*s[25])/42768 - 
       (20586847*s[26])/42768 - s[32]/2 - (7*s[33])/6 - (4*s[34])/3 - 
       (2*s[35])/3 - (8*s[36])/9 + (115*s[37])/18 - 6*s[38] + (89*s[39])/6 - 
       (431*s[40])/18 + (67*s[41])/3 - (151*s[42])/18 - (5681*s[43])/99 + 
       (41281*s[44])/792 - (11977*s[45])/99 + (22204*s[46])/33 + 
       (48017*s[47])/1188 - (139753*s[48])/1188 + (675839*s[49])/2376 - 
       (224231*s[50])/396 - (10753*s[51])/2376 + (17771*s[52])/2376 + 
       (17483*s[53])/44 + (10897*s[54])/132 + (119891*s[55])/44 + 
       (1521547*s[56])/2376 + (685681*s[57])/891 + (14587217*s[58])/21384 - 
       (15371963*s[59])/21384 - (90284687*s[60])/14256 + 
       (69140075*s[61])/192456 - 2*s[70] - s[74]/3 + s[75]/3 + 2*s[77] + 
       (4*s[79])/3 - (2*s[80])/9 - 107*s[82] - 20*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*M1[u, v, w]*((-5*s[2])/3 - (13*s[3])/2 - 
       (27*s[4])/2 - (727*s[5])/22 - (19213*s[6])/264 - (1499675*s[7])/2376 + 
       (188383*s[8])/7128 + (344621*s[9])/648 + (81143*s[10])/324 + 
       (3180715*s[11])/4752 + (3174125*s[12])/4752 + (100921*s[13])/264 + 
       (265849*s[14])/1188 + (67459*s[15])/72 + (227603*s[16])/198 + 
       (4959215*s[17])/4752 + (90527*s[18])/972 + (153145*s[19])/972 + 
       (30215573*s[20])/21384 + (2759645*s[21])/5346 - 
       (6971347*s[22])/21384 - (107407*s[23])/528 - (35478185*s[24])/42768 + 
       (304976461*s[25])/384912 - (181369957*s[26])/384912 + (2*s[30])/3 - 
       s[32]/2 - s[33]/2 - (2*s[34])/3 - (2*s[35])/3 - (8*s[36])/9 + 
       (115*s[37])/18 - 6*s[38] + (89*s[39])/6 - (431*s[40])/18 + 
       (67*s[41])/3 - (151*s[42])/18 - (5681*s[43])/99 + (41281*s[44])/792 - 
       (11977*s[45])/99 + (22204*s[46])/33 + (48017*s[47])/1188 - 
       (139753*s[48])/1188 + (675839*s[49])/2376 - (224231*s[50])/396 - 
       (10753*s[51])/2376 + (17771*s[52])/2376 + (17483*s[53])/44 + 
       (10897*s[54])/132 + (119891*s[55])/44 + (1521547*s[56])/2376 + 
       (685681*s[57])/891 + (14587217*s[58])/21384 - (15371963*s[59])/21384 - 
       (90284687*s[60])/14256 + (69140075*s[61])/192456 - 2*s[70] - s[74]/3 + 
       s[75]/3 + 2*s[77] + (4*s[79])/3 - (2*s[80])/9 - 107*s[82] - 
       20*s[85]) + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-31*s[2])/6 - (49*s[3])/24 - (4429*s[4])/12 - (44071*s[5])/176 - 
       (1025581*s[6])/1584 - (37617677*s[7])/6336 + (4611533*s[8])/9504 + 
       (4343257*s[9])/864 + (1332581*s[10])/864 + (41522581*s[11])/6336 + 
       (22849333*s[12])/3168 + (9192955*s[13])/2112 + (4310093*s[14])/6336 + 
       (13427029*s[15])/1728 + (15756245*s[16])/1584 + 
       (47639507*s[17])/6336 + (1414471*s[18])/1296 + (2208013*s[19])/2592 + 
       (41846201*s[20])/3564 + (241497635*s[21])/57024 - 
       (178944781*s[22])/57024 - (22108067*s[23])/3168 - 
       (91762609*s[24])/14256 + (536806735*s[25])/64152 - 
       (1170468415*s[26])/256608 - (7*s[30])/12 - (11*s[31])/6 + 
       (4*s[32])/3 + (9*s[33])/16 + (41*s[34])/12 + (13*s[35])/2 + 
       (271*s[36])/18 - (869*s[37])/36 - (646*s[38])/3 + (3429*s[39])/4 - 
       (34631*s[40])/36 + (9067*s[41])/12 - (22223*s[42])/18 - 
       (297337*s[43])/396 + (1267621*s[44])/1584 - (654281*s[45])/792 + 
       (5225893*s[46])/792 - (452729*s[47])/1584 - (161053*s[48])/1584 + 
       (1792397*s[49])/528 - (2007305*s[50])/396 - (4093663*s[51])/4752 - 
       (1094107*s[52])/1584 + (1370023*s[53])/396 - (14693*s[54])/132 + 
       (34746229*s[55])/1584 + (9252697*s[56])/1584 - (15547117*s[57])/2376 + 
       (149099425*s[58])/14256 - (149891191*s[59])/14256 - 
       (171074105*s[60])/3168 + (361873675*s[61])/128304 + s[71]/2 - 
       3*s[72] + s[73]/3 + (15*s[74])/4 - (15*s[75])/4 + 3*s[76] + s[77]/6 - 
       (5*s[78])/3 - 89*s[79] + (353*s[80])/18 - (152*s[82])/3 - s[83]/4 - 
       (69*s[84])/2 - 20*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      Omega2[u, v, w]*((-55*s[2])/12 - (569*s[3])/24 - (16307*s[4])/48 - 
       (74165*s[5])/264 - (362723*s[6])/528 - (18926593*s[7])/3168 + 
       (2229023*s[8])/4752 + (135967*s[9])/27 + (88705*s[10])/54 + 
       (20623007*s[11])/3168 + (2787449*s[12])/396 + (13241029*s[13])/3168 + 
       (3153851*s[14])/3168 + (2324351*s[15])/288 + (1007900*s[16])/99 + 
       (8497355*s[17])/1056 + (365657*s[18])/324 + (1136551*s[19])/1296 + 
       (172875643*s[20])/14256 + (126588089*s[21])/28512 - 
       (89195329*s[22])/28512 - (1298717*s[23])/198 - (46863391*s[24])/7128 + 
       (1052186353*s[25])/128304 - (590437033*s[26])/128304 - s[30]/6 + 
       (2*s[31])/3 + (11*s[32])/6 + (23*s[33])/6 - (25*s[34])/6 + 
       (23*s[35])/6 + (67*s[36])/6 - (81*s[37])/4 - (349*s[38])/2 + 
       (2278*s[39])/3 - (1735*s[40])/2 + (8183*s[41])/12 - (6653*s[42])/6 - 
       (7424*s[43])/11 + (129605*s[44])/176 - (214415*s[45])/264 + 
       (1658773*s[46])/264 - (42077*s[47])/176 - (72463*s[48])/528 + 
       (1627325*s[49])/528 - (53007*s[50])/11 - (407519*s[51])/528 - 
       (318965*s[52])/528 + (73989*s[53])/22 - (4357*s[54])/22 + 
       (33900953*s[55])/1584 + (3033083*s[56])/528 - (1402745*s[57])/264 + 
       (5132575*s[58])/528 - (1726335*s[59])/176 - (162666881*s[60])/3168 + 
       (4433111*s[61])/1584 + s[68] - s[69] + s[70] - (5*s[72])/3 - 3*s[73] + 
       (41*s[74])/12 - (41*s[75])/12 - s[76]/3 - s[77]/2 - s[78]/3 - 
       80*s[79] + (173*s[80])/6 - 143*s[82] - s[83] - 34*s[84] - 20*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Omega2[w, u, v]*
      ((-19*s[2])/12 - (293*s[3])/24 - (16121*s[4])/48 - (2843*s[5])/12 - 
       (29161*s[6])/48 - (1546843*s[7])/288 + (196649*s[8])/432 + 
       (244441*s[9])/54 + (295547*s[10])/216 + (1700681*s[11])/288 + 
       (467821*s[12])/72 + (1121191*s[13])/288 + (188597*s[14])/288 + 
       (2031511*s[15])/288 + (648679*s[16])/72 + (219303*s[17])/32 + 
       (165233*s[18])/162 + (951323*s[19])/1296 + (13786345*s[20])/1296 + 
       (9948059*s[21])/2592 - (7318327*s[22])/2592 - (469193*s[23])/72 - 
       (1867499*s[24])/324 + (88077061*s[25])/11664 - 
       (48199177*s[26])/11664 - (5*s[30])/3 - s[31]/3 - (2*s[32])/3 + 
       (47*s[33])/24 + s[34]/3 + (23*s[35])/6 + (67*s[36])/6 - (81*s[37])/4 - 
       (349*s[38])/2 + (2278*s[39])/3 - (1735*s[40])/2 + (8183*s[41])/12 - 
       (6653*s[42])/6 - (7424*s[43])/11 + (129605*s[44])/176 - 
       (214415*s[45])/264 + (1658773*s[46])/264 - (42077*s[47])/176 - 
       (72463*s[48])/528 + (1627325*s[49])/528 - (53007*s[50])/11 - 
       (407519*s[51])/528 - (318965*s[52])/528 + (73989*s[53])/22 - 
       (4357*s[54])/22 + (33900953*s[55])/1584 + (3033083*s[56])/528 - 
       (1402745*s[57])/264 + (5132575*s[58])/528 - (1726335*s[59])/176 - 
       (162666881*s[60])/3168 + (4433111*s[61])/1584 + s[68] - s[69] + 
       s[70] - (5*s[72])/3 - 3*s[73] + (41*s[74])/12 - (41*s[75])/12 - 
       s[76]/3 - s[77]/2 - s[78]/3 - 80*s[79] + (173*s[80])/6 - 143*s[82] - 
       s[83] - 34*s[84] - 20*s[85]) + HPL[{0, 1}, 1 - w]*Nt[u, v, w]*
      ((-7*s[2])/3 - (103*s[3])/12 - (6391*s[4])/24 - (49541*s[5])/264 - 
       (126611*s[6])/264 - (20622365*s[7])/4752 + (850523*s[8])/2376 + 
       (395597*s[9])/108 + (246161*s[10])/216 + (3776735*s[11])/792 + 
       (8277799*s[12])/1584 + (14894029*s[13])/4752 + (876091*s[14])/1584 + 
       (2480537*s[15])/432 + (8689447*s[16])/1188 + (1666361*s[17])/297 + 
       (258251*s[18])/324 + (102779*s[19])/162 + (30770887*s[20])/3564 + 
       (4922987*s[21])/1584 - (32570377*s[22])/14256 - 
       (24037229*s[23])/4752 - (67350277*s[24])/14256 + 
       (65008231*s[25])/10692 - (71101571*s[26])/21384 - (2*s[30])/3 - 
       (2*s[31])/3 + (2*s[32])/3 + (3*s[33])/4 + s[34]/3 + 3*s[35] + 
       (79*s[36])/9 - (307*s[37])/18 - (431*s[38])/3 + (1199*s[39])/2 - 
       (12269*s[40])/18 + (1601*s[41])/3 - (15679*s[42])/18 - 
       (105229*s[43])/198 + (452491*s[44])/792 - (60902*s[45])/99 + 
       (955253*s[46])/198 - (116537*s[47])/594 - (27001*s[48])/297 + 
       (717265*s[49])/297 - (1470701*s[50])/396 - (179207*s[51])/297 - 
       (1136923*s[52])/2376 + (1523767*s[53])/594 - (12047*s[54])/99 + 
       (717227*s[55])/44 + (143795*s[56])/33 - (5143903*s[57])/1188 + 
       (26815219*s[58])/3564 - (6759178*s[59])/891 - (35246507*s[60])/891 + 
       (22585027*s[61])/10692 - 2*s[72] + (2*s[73])/3 + (5*s[74])/2 - 
       (5*s[75])/2 + 2*s[76] + s[77]/3 - (4*s[78])/3 - 70*s[79] + 
       (191*s[80])/9 - 98*s[82] - s[83]/2 - 27*s[84] - 20*s[85]) + 
     HPL[{0, 1}, 1 - v]*Nt[u, v, w]*(-4*s[2] - (55*s[3])/12 - 
       (6257*s[4])/24 - (50443*s[5])/264 - (127403*s[6])/264 - 
       (20716019*s[7])/4752 + (846101*s[8])/2376 + (199057*s[9])/54 + 
       (248561*s[10])/216 + (1895809*s[11])/396 + (8298655*s[12])/1584 + 
       (14931451*s[13])/4752 + (918529*s[14])/1584 + (2493395*s[15])/432 + 
       (2180554*s[16])/297 + (13401871*s[17])/2376 + (261665*s[18])/324 + 
       (202585*s[19])/324 + (30996541*s[20])/3564 + (14950043*s[21])/4752 - 
       (32760919*s[22])/14256 - (23914469*s[23])/4752 - 
       (67655065*s[24])/14256 + (7231751*s[25])/1188 - (7951613*s[26])/2376 - 
       s[30]/3 - (4*s[31])/3 + s[32] + s[33]/2 + (4*s[34])/3 + 3*s[35] + 
       (79*s[36])/9 - (307*s[37])/18 - (431*s[38])/3 + (1199*s[39])/2 - 
       (12269*s[40])/18 + (1601*s[41])/3 - (15679*s[42])/18 - 
       (105229*s[43])/198 + (452491*s[44])/792 - (60902*s[45])/99 + 
       (955253*s[46])/198 - (116537*s[47])/594 - (27001*s[48])/297 + 
       (717265*s[49])/297 - (1470701*s[50])/396 - (179207*s[51])/297 - 
       (1136923*s[52])/2376 + (1523767*s[53])/594 - (12047*s[54])/99 + 
       (717227*s[55])/44 + (143795*s[56])/33 - (5143903*s[57])/1188 + 
       (26815219*s[58])/3564 - (6759178*s[59])/891 - (35246507*s[60])/891 + 
       (22585027*s[61])/10692 - 2*s[72] + (2*s[73])/3 + (5*s[74])/2 - 
       (5*s[75])/2 + 2*s[76] + s[77]/3 - (4*s[78])/3 - 70*s[79] + 
       (191*s[80])/9 - 98*s[82] - s[83]/2 - 27*s[84] - 20*s[85]) + 
     HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      (-3*s[2] - (485*s[3])/48 - (7289*s[4])/32 - (27297*s[5])/176 - 
       (144481*s[6])/352 - (3842953*s[7])/1056 + (2125459*s[8])/7128 + 
       (7962509*s[9])/2592 + (2454631*s[10])/2592 + (19079623*s[11])/4752 + 
       (41923285*s[12])/9504 + (12626659*s[13])/4752 + (4086143*s[14])/9504 + 
       (4125325*s[15])/864 + (58088597*s[16])/9504 + (22048483*s[17])/4752 + 
       (5357347*s[18])/7776 + (3973793*s[19])/7776 + (616479059*s[20])/
        85536 + (223683557*s[21])/85536 - (163826569*s[22])/85536 - 
       (41165401*s[23])/9504 - (335680981*s[24])/85536 + 
       (3939918749*s[25])/769824 - (2161663343*s[26])/769824 - s[30]/6 - 
       s[31] + (13*s[32])/24 + s[33]/6 + (7*s[34])/6 + (5*s[35])/6 + 
       (215*s[36])/24 - (241*s[37])/36 - (398*s[38])/3 + (51157*s[39])/96 - 
       (57437*s[40])/96 + (45467*s[41])/96 - (73711*s[42])/96 - 
       (165361*s[43])/352 + (525335*s[44])/1056 - (856721*s[45])/1584 + 
       (13370345*s[46])/3168 - (180739*s[47])/1056 - (42415*s[48])/528 + 
       (2250077*s[49])/1056 - (285471*s[50])/88 - (53462*s[51])/99 - 
       (114193*s[52])/264 + (21170329*s[53])/9504 - (57205*s[54])/792 + 
       (22394123*s[55])/1584 + (35783567*s[56])/9504 - 
       (111993971*s[57])/28512 + (70851149*s[58])/10692 - 
       (284995193*s[59])/42768 - (655078729*s[60])/19008 + 
       (1421027395*s[61])/769824 + s[68]/2 - s[69]/2 + (5*s[71])/8 - 
       2*s[72] + (29*s[74])/12 - (29*s[75])/12 + 2*s[76] + (5*s[77])/6 - 
       (4*s[78])/3 - (275*s[79])/6 + (143*s[80])/18 - (101*s[82])/2 - 
       24*s[84] - 20*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - v]*((-10*s[2])/3 - (89*s[3])/8 - (1109*s[4])/48 - 
       (260759*s[5])/3168 - (883015*s[6])/6336 - (11006561*s[7])/9504 + 
       (1148863*s[8])/19008 + (1712441*s[9])/1728 + (326957*s[10])/864 + 
       (5160611*s[11])/4224 + (15829459*s[12])/12672 + 
       (13463783*s[13])/19008 + (1246703*s[14])/3168 + (1421789*s[15])/864 + 
       (9607559*s[16])/4752 + (67284869*s[17])/38016 + (143939*s[18])/576 + 
       (284305*s[19])/1728 + (16205723*s[20])/6336 + (56252899*s[21])/57024 - 
       (34091593*s[22])/57024 - (33424067*s[23])/38016 - 
       (149460221*s[24])/114048 + (1484884871*s[25])/1026432 - 
       (921159881*s[26])/1026432 - s[30]/4 - (3*s[31])/2 - (17*s[33])/6 + 
       s[34]/3 - (37*s[35])/6 - (89*s[36])/72 + (989*s[37])/144 - 
       (1691*s[38])/72 + (23833*s[39])/288 - (28589*s[40])/288 + 
       (6863*s[41])/96 - (30157*s[42])/288 - (366815*s[43])/3168 + 
       (78475*s[44])/704 - (719755*s[45])/3168 + (237879*s[46])/176 + 
       (57971*s[47])/4752 - (1036187*s[48])/9504 + (5000363*s[49])/9504 - 
       (3335207*s[50])/3168 - (299867*s[51])/4752 - (1183121*s[52])/19008 + 
       (1820087*s[53])/2376 - (8477*s[54])/396 + (5428363*s[55])/1056 + 
       (12714611*s[56])/9504 + (2583643*s[57])/7128 + 
       (18354575*s[58])/10692 - (150467065*s[59])/85536 - 
       (165886025*s[60])/14256 + (272906459*s[61])/384912 - s[68]/4 + 
       s[69]/2 - s[70]/2 - s[72] - s[74]/6 + s[75]/6 + 2*s[76] - s[78] - 
       (5*s[79])/6 + (109*s[80])/72 - (1097*s[82])/12 + (3*s[83])/4 - 
       (9*s[84])/2 - 20*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - w]*((-43*s[2])/12 - (161*s[3])/16 - (1367*s[4])/32 - 
       (7547*s[5])/99 - (1117421*s[6])/6336 - (3289637*s[7])/2376 + 
       (4554541*s[8])/57024 + (6002465*s[9])/5184 + (1169471*s[10])/2592 + 
       (56153149*s[11])/38016 + (58298135*s[12])/38016 + 
       (17032303*s[13])/19008 + (2011181*s[14])/4752 + (1677341*s[15])/864 + 
       (22912343*s[16])/9504 + (8756351*s[17])/4224 + (4215421*s[18])/15552 + 
       (3505943*s[19])/15552 + (509279219*s[20])/171072 + 
       (194416781*s[21])/171072 - (121708537*s[22])/171072 - 
       (37412269*s[23])/38016 - (556302149*s[24])/342144 + 
       (5460854173*s[25])/3079296 - (3319053559*s[26])/3079296 + 
       (11*s[30])/6 - s[31]/2 - s[32]/4 + (5*s[33])/16 - (13*s[34])/12 - 
       (37*s[35])/6 - (89*s[36])/72 + (829*s[37])/144 - (189*s[38])/8 + 
       (8611*s[39])/96 - (30589*s[40])/288 + (7543*s[41])/96 - 
       (33677*s[42])/288 - (43055*s[43])/352 + (703415*s[44])/6336 - 
       (80315*s[45])/352 + (243159*s[46])/176 + (15749*s[47])/3168 - 
       (177877*s[48])/1584 + (843523*s[49])/1584 - (1113019*s[50])/1056 - 
       (637519*s[51])/9504 - (481567*s[52])/6336 + (911831*s[53])/1188 - 
       (25087*s[54])/396 + (2729279*s[55])/528 + (1677127*s[56])/1188 + 
       (1400263*s[57])/7128 + (155172895*s[58])/85536 - 
       (78453755*s[59])/42768 - (74200385*s[60])/6336 + 
       (281480519*s[61])/384912 - s[68]/4 + s[69]/2 - s[70]/2 - s[72] - 
       s[74]/6 + s[75]/6 + 2*s[76] - s[78] - (5*s[79])/6 + (109*s[80])/72 - 
       (997*s[82])/12 + (3*s[83])/4 - (9*s[84])/2 - 20*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]^2*
      ((-61*s[2])/72 - (911*s[3])/36 - (44251*s[4])/144 - 
       (638113*s[5])/3168 - (1576805*s[6])/3168 - (29919821*s[7])/6336 + 
       (719593*s[8])/1782 + (639791*s[9])/162 + (1598849*s[10])/1296 + 
       (98634997*s[11])/19008 + (54137467*s[12])/9504 + 
       (64930321*s[13])/19008 + (9030289*s[14])/19008 + 
       (10878467*s[15])/1728 + (75672665*s[16])/9504 + 
       (116133817*s[17])/19008 + (6311617*s[18])/7776 + 
       (6151037*s[19])/7776 + (198429449*s[20])/21384 + 
       (556730785*s[21])/171072 - (422548265*s[22])/171072 - 
       (52159093*s[23])/9504 - (448283113*s[24])/85536 + 
       (10329179947*s[25])/1539648 - (5500306393*s[26])/1539648 - 
       (13*s[30])/36 - s[31]/18 - (31*s[32])/36 + (115*s[33])/72 + 
       (2*s[34])/9 - (83*s[35])/72 + (949*s[36])/72 - (459*s[37])/32 - 
       (2471*s[38])/16 + (180691*s[39])/288 - (204371*s[40])/288 + 
       (79423*s[41])/144 - (8101*s[42])/9 - (1813069*s[43])/3168 + 
       (3910571*s[44])/6336 - (4552643*s[45])/6336 + (11305537*s[46])/2112 - 
       (3392179*s[47])/19008 - (2594041*s[48])/19008 + 
       (50304361*s[49])/19008 - (3271573*s[50])/792 - 
       (11742815*s[51])/19008 - (9297941*s[52])/19008 + 
       (55035265*s[53])/19008 - (243587*s[54])/3168 + 
       (351208093*s[55])/19008 + (90941701*s[56])/19008 - 
       (107972495*s[57])/28512 + (690396481*s[58])/85536 - 
       (1406099261*s[59])/171072 - (78712615*s[60])/1782 + 
       (7307657095*s[61])/3079296 - s[62]/16 - s[66]/6 + s[67]/6 + 
       (2*s[68])/3 - s[69]/3 + (7*s[70])/6 - (7*s[71])/16 - (23*s[72])/18 - 
       (19*s[73])/6 + (109*s[74])/36 - (109*s[75])/36 + (4*s[76])/9 - 
       (13*s[77])/12 - (2*s[78])/9 - (145*s[79])/3 + (2009*s[80])/144 - 
       151*s[82] - (11*s[83])/12 - (193*s[84])/6 - (59*s[85])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((-53*s[2])/72 - (823*s[3])/144 - (105343*s[4])/288 - 
       (37503*s[5])/176 - (1810631*s[6])/3168 - (98707415*s[7])/19008 + 
       (12981545*s[8])/28512 + (1414607*s[9])/324 + (1617757*s[10])/1296 + 
       (109550087*s[11])/19008 + (60964847*s[12])/9504 + 
       (8289287*s[13])/2112 + (7650695*s[14])/19008 + (11580029*s[15])/1728 + 
       (27308627*s[16])/3168 + (120935413*s[17])/19008 + 
       (7240565*s[18])/7776 + (2897309*s[19])/3888 + (213691243*s[20])/
        21384 + (606068519*s[21])/171072 - (468130963*s[22])/171072 - 
       (20928455*s[23])/3168 - (119084489*s[24])/21384 + 
       (5756977543*s[25])/769824 - (3056460043*s[26])/769824 - (5*s[30])/9 - 
       (5*s[31])/18 + (5*s[32])/72 + (871*s[33])/144 + (11*s[34])/18 + 
       (283*s[35])/36 + (1529*s[36])/72 - (1387*s[37])/48 - (2629*s[38])/12 + 
       (241715*s[39])/288 - (267943*s[40])/288 + (209887*s[41])/288 - 
       (345859*s[42])/288 - (770863*s[43])/1056 + (602443*s[44])/792 - 
       (2511679*s[45])/3168 + (278639*s[46])/44 - (24847*s[47])/88 - 
       (82289*s[48])/1056 + (2594549*s[49])/792 - (425699*s[50])/88 - 
       (7793791*s[51])/9504 - (2158081*s[52])/3168 + (15927793*s[53])/4752 - 
       (110051*s[54])/528 + (201353407*s[55])/9504 + (26664245*s[56])/4752 - 
       (174200071*s[57])/28512 + (427284805*s[58])/42768 - 
       (866804255*s[59])/85536 - (982382761*s[60])/19008 + 
       (4105537285*s[61])/1539648 - (5*s[66])/6 + (5*s[67])/6 + (5*s[68])/6 + 
       (5*s[69])/6 + (5*s[70])/6 + s[71]/2 - (25*s[72])/18 - (5*s[73])/6 + 
       (271*s[74])/72 - (271*s[75])/72 + (20*s[76])/9 - (5*s[77])/12 + 
       (25*s[78])/18 - (445*s[79])/6 + (875*s[80])/72 - (181*s[82])/3 - 
       (5*s[83])/6 - (245*s[84])/6 - (55*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((71*s[2])/9 + (13*s[3])/3 + (1873*s[4])/3 + (398777*s[5])/792 + 
       (203399*s[6])/176 + (8076995*s[7])/792 - (3895775*s[8])/4752 - 
       (3745795*s[9])/432 - (270137*s[10])/108 - (11877083*s[11])/1056 - 
       (39253345*s[12])/3168 - (11801695*s[13])/1584 - (1954877*s[14])/1584 - 
       (721919*s[15])/54 - (6740165*s[16])/396 - (40649261*s[17])/3168 - 
       (1340611*s[18])/648 - (786407*s[19])/648 - (72046171*s[20])/3564 - 
       (13455425*s[21])/1782 + (4795298*s[22])/891 + (41405207*s[23])/3168 + 
       (305964805*s[24])/28512 - (3662879747*s[25])/256608 + 
       (2056039133*s[26])/256608 + (2*s[30])/3 + 4*s[31] - (13*s[32])/2 - 
       (70*s[33])/9 - (26*s[34])/9 - (88*s[35])/9 - (1625*s[36])/54 + 
       (1015*s[37])/27 + 424*s[38] - (115385*s[39])/72 + (383831*s[40])/216 - 
       (98609*s[41])/72 + (497941*s[42])/216 + (286193*s[43])/216 - 
       (600421*s[44])/432 + (298699*s[45])/216 - (101024*s[46])/9 + 
       (398407*s[47])/648 - (27839*s[48])/648 - (7561643*s[49])/1296 + 
       (1802339*s[50])/216 + (2035759*s[51])/1296 + (1777447*s[52])/1296 - 
       (416819*s[53])/72 + (44081*s[54])/72 - (656497*s[55])/18 - 
       (13042147*s[56])/1296 + (27782651*s[57])/1944 - 
       (218777861*s[58])/11664 + (220345013*s[59])/11664 + 
       (693295373*s[60])/7776 - (251169367*s[61])/52488 - (2*s[62])/3 - 
       2*s[66] + 2*s[67] - 4*s[68] + 6*s[69] - (38*s[70])/3 - (11*s[71])/3 + 
       (16*s[72])/3 - (8*s[73])/3 - (62*s[74])/9 + (62*s[75])/9 - 
       (10*s[76])/3 + (32*s[77])/3 + (26*s[78])/3 + (1100*s[79])/9 - 
       (809*s[80])/54 - (1985*s[82])/6 + s[83] + 66*s[84] - (52*s[85])/3) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^4*((-15*s[2])/8 - (305*s[3])/48 - 
       (3773*s[4])/32 - (93551*s[5])/1056 - (316605*s[6])/1408 - 
       (8460185*s[7])/4224 + (18138421*s[8])/114048 + (17510243*s[9])/10368 + 
       (2819279*s[10])/5184 + (167012785*s[11])/76032 + 
       (181814885*s[12])/76032 + (27160333*s[13])/19008 + 
       (10766999*s[14])/38016 + (9252913*s[15])/3456 + 
       (64577695*s[16])/19008 + (200721811*s[17])/76032 + 
       (11560009*s[18])/31104 + (9356093*s[19])/31104 + 
       (1375514015*s[20])/342144 + (31230383*s[21])/21384 - 
       (179914751*s[22])/171072 - (171180875*s[23])/76032 - 
       (1507655735*s[24])/684288 + (17137791175*s[25])/6158592 - 
       (9483853945*s[26])/6158592 - s[30]/6 - s[31]/2 + (5*s[32])/48 + 
       s[33]/96 - (5*s[34])/24 + s[35]/12 + (191*s[36])/48 - (47*s[37])/18 - 
       (200*s[38])/3 + (51605*s[39])/192 - (58609*s[40])/192 + 
       (46543*s[41])/192 - (73775*s[42])/192 - (538211*s[43])/2112 + 
       (280025*s[44])/1056 - (984881*s[45])/3168 + (14795281*s[46])/6336 - 
       (97545*s[47])/1408 - (341453*s[48])/4224 + (4908547*s[49])/4224 - 
       (3828061*s[50])/2112 - (3342605*s[51])/12672 - (437147*s[52])/2112 + 
       (23925449*s[53])/19008 - (17933*s[54])/1584 + (101942327*s[55])/
        12672 + (79938281*s[56])/38016 - (92906599*s[57])/57024 + 
       (1202659729*s[58])/342144 - (1223022319*s[59])/342144 - 
       (1474374619*s[60])/76032 + (1602558047*s[61])/1539648 + s[68]/4 - 
       s[69]/4 - s[70]/4 + (3*s[71])/16 - s[72] + (11*s[74])/12 - 
       (11*s[75])/12 + s[76] + (7*s[77])/12 - (7*s[78])/12 - (295*s[79])/12 + 
       (223*s[80])/36 - (125*s[82])/2 - 12*s[84] - 17*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((-11*s[2])/2 + (1927*s[3])/72 - (20047*s[4])/36 - (153407*s[5])/396 - 
       (343427*s[6])/396 - (502742399*s[7])/57024 + (2338703*s[8])/3168 + 
       (6479165*s[9])/864 + (72439*s[10])/32 + (185073065*s[11])/19008 + 
       (3780291*s[12])/352 + (368303173*s[13])/57024 + 
       (15693575*s[14])/19008 + (60494165*s[15])/5184 + 
       (210787585*s[16])/14256 + (633265961*s[17])/57024 + 
       (3029723*s[18])/1944 + (10288057*s[19])/7776 + 
       (743308823*s[20])/42768 + (1070354191*s[21])/171072 - 
       (29704843*s[22])/6336 - (303673093*s[23])/28512 - 
       (274766491*s[24])/28512 + (9598108565*s[25])/769824 - 
       (1299562799*s[26])/192456 + (65*s[30])/36 - (65*s[31])/18 + 
       (43*s[32])/24 - (71*s[33])/48 + (337*s[34])/36 + (223*s[35])/12 + 
       (2683*s[36])/108 - (5599*s[37])/216 - 347*s[38] + (195851*s[39])/144 - 
       (660073*s[40])/432 + (175235*s[41])/144 - (843545*s[42])/432 - 
       (5795555*s[43])/4752 + (6243125*s[44])/4752 - (1493609*s[45])/1188 + 
       (49325233*s[46])/4752 - (2730539*s[47])/7128 - (3238495*s[48])/14256 + 
       (80333197*s[49])/14256 - (19326985*s[50])/2376 - 
       (9398623*s[51])/7128 - (7319023*s[52])/7128 + (9939187*s[53])/1782 + 
       (130085*s[54])/2376 + (7002365*s[55])/198 + (42459239*s[56])/4752 - 
       (42760009*s[57])/4752 + (684913037*s[58])/42768 - 
       (706758137*s[59])/42768 - (7396934389*s[60])/85536 + 
       (206558519*s[61])/48114 + (3*s[62])/8 + (5*s[66])/6 - (5*s[67])/6 + 
       (19*s[68])/3 - 6*s[69] + (5*s[70])/3 + (5*s[71])/12 - 5*s[72] + 
       (5*s[73])/9 + (11*s[74])/2 - (11*s[75])/2 - (22*s[76])/3 + 
       (52*s[77])/9 - (41*s[78])/18 - (881*s[79])/6 + (998*s[80])/27 - 
       82*s[82] + (5*s[83])/6 - (73*s[84])/2 - (49*s[85])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*
      (s[2] + (71*s[3])/6 - 129*s[4] - (7867*s[5])/132 - (40189*s[6])/264 - 
       (351443*s[7])/198 + (1063105*s[8])/7128 + (976103*s[9])/648 + 
       (153563*s[10])/324 + (9577663*s[11])/4752 + (10787285*s[12])/4752 + 
       (3348047*s[13])/2376 + (53233*s[14])/1188 + (122227*s[15])/54 + 
       (3526945*s[16])/1188 + (9851665*s[17])/4752 + (561205*s[18])/1944 + 
       (606737*s[19])/1944 + (73047437*s[20])/21384 + 
       (25753817*s[21])/21384 - (20511571*s[22])/21384 - 
       (10459403*s[23])/4752 - (85638071*s[24])/42768 + 
       (1007783065*s[25])/384912 - (526761847*s[26])/384912 + (7*s[30])/3 - 
       s[32]/3 - (4*s[33])/3 + (2*s[34])/3 + (13*s[35])/3 + (9*s[36])/2 + 
       (205*s[37])/18 - 91*s[38] + (8357*s[39])/24 - (9929*s[40])/24 + 
       (8381*s[41])/24 - (11617*s[42])/24 - (34801*s[43])/88 + 
       (74423*s[44])/176 - (161899*s[45])/396 + (2564753*s[46])/792 + 
       (49661*s[47])/1584 - (472993*s[48])/1584 + (3019501*s[49])/1584 - 
       (352739*s[50])/132 - (476789*s[51])/1584 - (311999*s[52])/1584 + 
       (4239109*s[53])/2376 + (31393*s[54])/99 + (18353689*s[55])/1584 + 
       (12669037*s[56])/4752 - (3652801*s[57])/3564 + 
       (191098271*s[58])/42768 - (203798369*s[59])/42768 - 
       (91037053*s[60])/3168 + (518849627*s[61])/384912 + 7*s[68] - 5*s[69] - 
       2*s[70] - s[74]/3 + s[75]/3 - 6*s[76] + (25*s[77])/3 + (11*s[78])/3 - 
       (130*s[79])/3 + (136*s[80])/9 - 116*s[82] - 16*s[85]) + 
     HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*(29*s[2] - 25*s[3] + 
       511*s[4] + (10477*s[5])/22 + (23311*s[6])/22 + (3588067*s[7])/396 - 
       (209603*s[8])/297 - (210421*s[9])/27 - (112039*s[10])/54 - 
       (1988297*s[11])/198 - (1096802*s[12])/99 - (150295*s[13])/22 - 
       (182687*s[14])/198 - (46597*s[15])/4 - (1963723*s[16])/132 - 
       (2201593*s[17])/198 - (278821*s[18])/162 - (172559*s[19])/162 - 
       (31177205*s[20])/1782 - (11568077*s[21])/1782 + (4290017*s[22])/891 + 
       (504299*s[23])/44 + (33625391*s[24])/3564 - (206296679*s[25])/16038 + 
       (56536399*s[26])/8019 + 20*s[31] - 3*s[32] + (27*s[33])/2 - 40*s[34] - 
       6*s[35] - (118*s[36])/3 + (199*s[37])/3 + 355*s[38] - (3009*s[39])/2 + 
       (9851*s[40])/6 - 1247*s[41] + (6707*s[42])/3 + (73165*s[43])/66 - 
       (39590*s[44])/33 + (36418*s[45])/33 - (210767*s[46])/22 + 
       (80698*s[47])/99 - (87457*s[48])/198 - (483973*s[49])/99 + 
       (468223*s[50])/66 + (158903*s[51])/99 + (267625*s[52])/198 - 
       (161092*s[53])/33 + (20309*s[54])/22 - (1980767*s[55])/66 - 
       (847520*s[56])/99 + (4273253*s[57])/297 - (29202551*s[58])/1782 + 
       (28883699*s[59])/1782 + (44325667*s[60])/594 - 
       (128905417*s[61])/32076 - 4*s[64] - 3*s[65] - 4*s[66] + 12*s[67] + 
       8*s[68] + 12*s[69] + 2*s[70] + 3*s[71] + 12*s[72] - 12*s[73] - 
       9*s[74] + 9*s[75] - 12*s[76] - 10*s[77] - 4*s[78] + 120*s[79] - 
       (136*s[80])/3 - 104*s[82] - 16*s[85]) + HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v]*(-12*s[2] + 42*s[3] + 708*s[4] + 
       (5251*s[5])/22 + (17441*s[6])/22 + (1054789*s[7])/132 - 
       (61441*s[8])/66 - (39395*s[9])/6 - (9739*s[10])/6 - (98401*s[11])/11 - 
       (114038*s[12])/11 - (202508*s[13])/33 + (2589*s[14])/22 - 
       (117725*s[15])/12 - (1712885*s[16])/132 - (584813*s[17])/66 - 
       (28307*s[18])/18 - (8609*s[19])/9 - (1463822*s[20])/99 - 
       (54237*s[21])/11 + (823585*s[22])/198 + (1661575*s[23])/132 + 
       (3215783*s[24])/396 - (4728293*s[25])/396 + (2378375*s[26])/396 - 
       10*s[29] + 6*s[30] - 8*s[31] - 9*s[33] + 2*s[34] - 6*s[35] - 
       (118*s[36])/3 + (199*s[37])/3 + 355*s[38] - (3009*s[39])/2 + 
       (9851*s[40])/6 - 1247*s[41] + (6707*s[42])/3 + (73165*s[43])/66 - 
       (39590*s[44])/33 + (36418*s[45])/33 - (210767*s[46])/22 + 
       (80698*s[47])/99 - (87457*s[48])/198 - (483973*s[49])/99 + 
       (468223*s[50])/66 + (158903*s[51])/99 + (267625*s[52])/198 - 
       (161092*s[53])/33 + (20309*s[54])/22 - (1980767*s[55])/66 - 
       (847520*s[56])/99 + (4273253*s[57])/297 - (29202551*s[58])/1782 + 
       (28883699*s[59])/1782 + (44325667*s[60])/594 - 
       (128905417*s[61])/32076 - 4*s[64] - 3*s[65] - 4*s[66] + 12*s[67] + 
       8*s[68] + 12*s[69] + 2*s[70] + 3*s[71] + 12*s[72] - 12*s[73] - 
       9*s[74] + 9*s[75] - 12*s[76] - 10*s[77] - 4*s[78] + 120*s[79] - 
       (136*s[80])/3 - 104*s[82] - 16*s[85]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*M1[v, u, w]*((-4*s[2])/3 - 9*s[3] + (31*s[4])/2 - 
       (320*s[5])/11 - (1231*s[6])/33 - (324083*s[7])/1188 + (409*s[8])/891 + 
       (37381*s[9])/162 + (12301*s[10])/81 + (74375*s[11])/297 + 
       (217711*s[12])/1188 + (9709*s[13])/132 + (132463*s[14])/594 + 
       (18871*s[15])/36 + (56267*s[16])/99 + (394649*s[17])/594 + 
       (12439*s[18])/243 + (38965*s[19])/486 + (8005451*s[20])/10692 + 
       (3363341*s[21])/10692 - (1407811*s[22])/10692 + (5182*s[23])/33 - 
       (4290157*s[24])/10692 + (22874939*s[25])/96228 - 
       (20520395*s[26])/96228 + s[30]/3 - s[33] - (7*s[34])/3 - 
       (16*s[35])/3 - (28*s[36])/9 + (73*s[37])/9 + 13*s[38] - 
       (245*s[39])/6 + (719*s[40])/18 - (161*s[41])/6 + (1141*s[42])/18 - 
       (1175*s[43])/198 - (3599*s[44])/396 - (15205*s[45])/198 + 
       (8834*s[46])/33 + (60757*s[47])/1188 - (91241*s[48])/1188 + 
       (45341*s[49])/1188 - (24220*s[50])/99 + (65015*s[51])/1188 + 
       (64037*s[52])/1188 + (2422*s[53])/11 + (1934*s[54])/33 + 
       (205217*s[55])/132 + (365887*s[56])/1188 + (1091522*s[57])/891 + 
       (323627*s[58])/10692 - (1400027*s[59])/10692 - (19861961*s[60])/7128 + 
       (4883990*s[61])/24057 - (2*s[74])/3 + (2*s[75])/3 + (32*s[79])/3 - 
       (16*s[80])/9 - 88*s[82] - 16*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      M1[v, w, u]*((-4*s[2])/3 - (17*s[3])/4 - (107*s[4])/8 - 
       (5015*s[5])/132 - (741*s[6])/11 - (351397*s[7])/528 + 
       (19223*s[8])/594 + (122839*s[9])/216 + (13775*s[10])/54 + 
       (275123*s[11])/396 + (1093801*s[12])/1584 + (609371*s[13])/1584 + 
       (365993*s[14])/1584 + (47887*s[15])/48 + (951187*s[16])/792 + 
       (862357*s[17])/792 + (34669*s[18])/324 + (96853*s[19])/648 + 
       (10686949*s[20])/7128 + (7883729*s[21])/14256 - 
       (4932817*s[22])/14256 - (442369*s[23])/1584 - (11874595*s[24])/14256 + 
       (105240107*s[25])/128304 - (63548669*s[26])/128304 - s[32]/2 - 
       (5*s[33])/6 - (2*s[34])/3 + (2*s[35])/3 - s[36]/9 + (119*s[37])/18 - 
       8*s[38] + (329*s[39])/12 - (1307*s[40])/36 + (407*s[41])/12 - 
       (1075*s[42])/36 - (24787*s[43])/396 + (22519*s[44])/396 - 
       (23845*s[45])/198 + (93089*s[46])/132 + (71789*s[47])/2376 - 
       (219733*s[48])/2376 + (363815*s[49])/1188 - (236299*s[50])/396 - 
       (11525*s[51])/594 - (2159*s[52])/594 + (27983*s[53])/66 + 
       (9677*s[54])/132 + (754939*s[55])/264 + (190780*s[56])/297 + 
       (616448*s[57])/891 + (7895309*s[58])/10692 - (8585663*s[59])/10692 - 
       (23294635*s[60])/3564 + (16987573*s[61])/48114 - 2*s[70] - s[74]/6 + 
       s[75]/6 + 2*s[77] - (4*s[79])/3 + (2*s[80])/9 - 88*s[82] - 16*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-4*s[2])/3 - 9*s[3] + (35*s[4])/2 - (632*s[5])/33 - (1781*s[6])/44 - 
       (158387*s[7])/1188 - (48977*s[8])/3564 + (32945*s[9])/324 + 
       (14447*s[10])/162 + (293251*s[11])/2376 + (202877*s[12])/2376 + 
       (17701*s[13])/396 + (57287*s[14])/297 + (8267*s[15])/36 + 
       (18943*s[16])/66 + (840659*s[17])/2376 + (13495*s[18])/243 + 
       (2951*s[19])/243 + (4435931*s[20])/10692 + (1124461*s[21])/5346 - 
       (610801*s[22])/10692 + (142259*s[23])/792 - (4304717*s[24])/21384 + 
       (14273659*s[25])/192456 - (24445027*s[26])/192456 + (4*s[30])/3 - 
       (4*s[34])/3 - (11*s[35])/2 - (83*s[36])/18 + (73*s[37])/9 + 10*s[38] - 
       (148*s[39])/3 + (436*s[40])/9 - (124*s[41])/3 + (737*s[42])/9 + 
       (779*s[43])/99 - (4453*s[44])/198 - (4991*s[45])/99 + 
       (3782*s[46])/33 + (55003*s[47])/1188 - (118973*s[48])/1188 - 
       (29897*s[49])/594 - (14297*s[50])/198 + (41047*s[51])/594 + 
       (11393*s[52])/297 + (13381*s[53])/198 - (1741*s[54])/66 + 
       (30495*s[55])/44 + (82492*s[56])/297 + (1523389*s[57])/1782 - 
       (129917*s[58])/5346 + (338483*s[59])/5346 - (2229041*s[60])/1782 + 
       (15591557*s[61])/96228 - (2*s[74])/3 + (2*s[75])/3 + (32*s[79])/3 - 
       (16*s[80])/9 - 80*s[82] - 16*s[85]) + HPL[{0, 1, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u]*(40*s[2] - 52*s[3] + (73*s[4])/2 + 
       (21393*s[5])/44 + (35989*s[6])/44 + (1399085*s[7])/264 - 
       (3764*s[8])/33 - (57499*s[9])/12 - (18977*s[10])/12 - 
       (505933*s[11])/88 - (63863*s[12])/11 - (963505*s[13])/264 - 
       (195133*s[14])/88 - (172429*s[15])/24 - (1189073*s[16])/132 - 
       (2060819*s[17])/264 - (43117*s[18])/36 - (8095*s[19])/18 - 
       (4628693*s[20])/396 - (1343993*s[21])/264 + (2265457*s[22])/792 + 
       (407299*s[23])/132 + (2350241*s[24])/396 - (15448909*s[25])/2376 + 
       (10587793*s[26])/2376 - 4*s[27] + (3*s[28])/2 - 4*s[29] - 6*s[30] + 
       13*s[31] + (27*s[33])/2 - 27*s[34] + 14*s[36] + 14*s[37] + 136*s[38] - 
       494*s[39] + 526*s[40] - 402*s[41] + 698*s[42] + 442*s[43] - 
       424*s[44] + 332*s[45] - 3159*s[46] + (715*s[47])/3 + (235*s[48])/3 - 
       (5380*s[49])/3 + 1946*s[50] + 480*s[51] + (1382*s[52])/3 - 
       1312*s[53] + 514*s[54] - 8358*s[55] - (8894*s[56])/3 + 
       (54116*s[57])/9 - (159061*s[58])/27 + (147730*s[59])/27 + 
       (426877*s[60])/18 - (670613*s[61])/486 - 4*s[64] + 2*s[66] + 
       18*s[68] - 10*s[69] + 8*s[70] - 16*s[77] - 12*s[79] - 8*s[80] - 
       68*s[82] - 16*s[85]) + HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*
      (-21*s[2] + 124*s[3] + (779*s[4])/2 - (11405*s[5])/44 + 
       (7175*s[6])/44 + (39275*s[7])/264 - (38923*s[8])/99 + 
       (12901*s[9])/36 + (21407*s[10])/36 - (168457*s[11])/264 - 
       (54415*s[12])/33 - (304487*s[13])/264 + (444863*s[14])/264 + 
       (27917*s[15])/24 + (48197*s[16])/132 + (198921*s[17])/88 - 
       (11305*s[18])/108 + (6875*s[19])/54 + (1820575*s[20])/1188 + 
       (2654945*s[21])/2376 - (203323*s[22])/2376 + (635105*s[23])/132 - 
       (471623*s[24])/1188 - (37508983*s[25])/21384 + (4215643*s[26])/21384 - 
       (3*s[28])/2 - 6*s[29] - 2*s[30] - 21*s[31] + 14*s[32] - (9*s[33])/2 + 
       27*s[34] + 14*s[36] + 14*s[37] + 136*s[38] - 494*s[39] + 526*s[40] - 
       402*s[41] + 698*s[42] + 442*s[43] - 424*s[44] + 332*s[45] - 
       3159*s[46] + (715*s[47])/3 + (235*s[48])/3 - (5380*s[49])/3 + 
       1946*s[50] + 480*s[51] + (1382*s[52])/3 - 1312*s[53] + 514*s[54] - 
       8358*s[55] - (8894*s[56])/3 + (54116*s[57])/9 - (159061*s[58])/27 + 
       (147730*s[59])/27 + (426877*s[60])/18 - (670613*s[61])/486 - 4*s[64] + 
       2*s[66] + 18*s[68] - 10*s[69] + 8*s[70] - 16*s[77] - 12*s[79] - 
       8*s[80] - 68*s[82] - 16*s[85]) + HPL[{0, 1, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v]*(21*s[2] + (717*s[4])/2 + (14125*s[5])/88 + 
       (54853*s[6])/88 + (422273*s[7])/88 - (1063895*s[8])/2376 - 
       (859111*s[9])/216 - (219215*s[10])/216 - (2176919*s[11])/396 - 
       (5008079*s[12])/792 - (3203197*s[13])/792 - (163693*s[14])/792 - 
       (209551*s[15])/36 - (780431*s[16])/99 - (4262977*s[17])/792 - 
       (508061*s[18])/648 - (214517*s[19])/324 - (7895414*s[20])/891 - 
       (5563765*s[21])/1782 + (18080621*s[22])/7128 + (1291589*s[23])/198 + 
       (9321233*s[24])/1782 - (931362221*s[25])/128304 + 
       (481449737*s[26])/128304 + 4*s[27] + 14*s[31] + (15*s[33])/4 - 
       13*s[34] - 44*s[35] + (21*s[36])/2 + (173*s[37])/4 + 214*s[38] - 
       (6725*s[39])/8 + (7497*s[40])/8 - (5577*s[41])/8 + (9721*s[42])/8 + 
       (55699*s[43])/88 - (128937*s[44])/176 + (39679*s[45])/88 - 
       (209167*s[46])/44 + (67181*s[47])/176 - (8609*s[48])/176 - 
       (492295*s[49])/176 + (36318*s[50])/11 + (437485*s[51])/528 + 
       (128585*s[52])/176 - (96427*s[53])/44 + (14313*s[54])/22 - 
       (2396319*s[55])/176 - (765529*s[56])/176 + (329459*s[57])/33 - 
       (14304085*s[58])/1584 + (13997509*s[59])/1584 + 
       (38727031*s[60])/1056 - (6830317*s[61])/3564 - (13*s[62])/2 - 
       4*s[68] - 4*s[69] - 4*s[70] - 2*s[74] + 2*s[75] - 14*s[76] - 4*s[77] + 
       12*s[78] + 84*s[79] - (47*s[80])/2 - 44*s[82] - 16*s[85]) + 
     HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      (-10*s[2] + (321*s[3])/4 + (2805*s[4])/8 + (4703*s[5])/44 + 
       (44469*s[6])/88 + (617495*s[7])/176 - (919399*s[8])/2376 - 
       (155795*s[9])/54 - (12674*s[10])/27 - (6493783*s[11])/1584 - 
       (491231*s[12])/99 - (4750861*s[13])/1584 + (107741*s[14])/1584 - 
       (577313*s[15])/144 - (4407647*s[16])/792 - (5152705*s[17])/1584 - 
       (141421*s[18])/162 - (62735*s[19])/648 - (46168697*s[20])/7128 - 
       (33609637*s[21])/14256 + (26259185*s[22])/14256 + 
       (5626057*s[23])/792 + (22735969*s[24])/7128 - (349708985*s[25])/
        64152 + (186990479*s[26])/64152 + 7*s[30] + 6*s[33] - 4*s[34] - 
       44*s[35] + (21*s[36])/2 + (173*s[37])/4 + 214*s[38] - (6725*s[39])/8 + 
       (7497*s[40])/8 - (5577*s[41])/8 + (9721*s[42])/8 + (55699*s[43])/88 - 
       (128937*s[44])/176 + (39679*s[45])/88 - (209167*s[46])/44 + 
       (67181*s[47])/176 - (8609*s[48])/176 - (492295*s[49])/176 + 
       (36318*s[50])/11 + (437485*s[51])/528 + (128585*s[52])/176 - 
       (96427*s[53])/44 + (14313*s[54])/22 - (2396319*s[55])/176 - 
       (765529*s[56])/176 + (329459*s[57])/33 - (14304085*s[58])/1584 + 
       (13997509*s[59])/1584 + (38727031*s[60])/1056 - (6830317*s[61])/3564 - 
       (13*s[62])/2 - 4*s[68] - 4*s[69] - 4*s[70] - 2*s[74] + 2*s[75] - 
       14*s[76] - 4*s[77] + 12*s[78] + 84*s[79] - (47*s[80])/2 - 44*s[82] - 
       16*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((-4*s[2])/3 - (121*s[3])/12 + (287*s[4])/24 - (1483*s[5])/132 - 
       (18683*s[6])/264 + (375031*s[7])/4752 - (66931*s[8])/2376 - 
       (2383*s[9])/27 - (4487*s[10])/108 - (115715*s[11])/1584 - 
       (51145*s[12])/792 + (79543*s[13])/4752 + (240715*s[14])/1584 - 
       (85249*s[15])/432 - (285469*s[16])/2376 - (478939*s[17])/4752 + 
       (26621*s[18])/324 - (87967*s[19])/648 - (832363*s[20])/7128 + 
       (352595*s[21])/4752 + (868067*s[22])/14256 + (8093*s[23])/594 + 
       (306571*s[24])/1782 - (156850*s[25])/891 - (75821*s[26])/3564 + 
       (4*s[30])/3 - (4*s[34])/3 - 5*s[35] - (28*s[36])/9 - (115*s[37])/36 + 
       (8*s[38])/3 - (377*s[39])/8 + (3221*s[40])/72 - (457*s[41])/8 + 
       (5941*s[42])/72 + (5383*s[43])/792 - (82097*s[44])/1584 + 
       (533*s[45])/792 - (9833*s[46])/66 + (67207*s[47])/4752 - 
       (677603*s[48])/4752 - (831085*s[49])/4752 + (27347*s[50])/99 + 
       (402005*s[51])/4752 - (39973*s[52])/4752 - (12611*s[53])/66 - 
       (8339*s[54])/33 - (1404199*s[55])/1584 + (1343869*s[56])/4752 - 
       (78457*s[57])/3564 - (3041299*s[58])/42768 + (13873735*s[59])/42768 + 
       (49113145*s[60])/28512 + (15178057*s[61])/192456 - s[71]/3 - 
       (2*s[74])/3 + (2*s[75])/3 + s[76]/3 + (28*s[79])/3 + (7*s[80])/18 - 
       14*s[82] - 16*s[85]) + HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*
      (5*s[2] - 24*s[3] - (1379*s[4])/2 - (12383*s[5])/22 - (8344*s[6])/11 - 
       (1522211*s[7])/132 + (553375*s[8])/594 + (532589*s[9])/54 + 
       (89741*s[10])/27 + (4904155*s[11])/396 + (2633755*s[12])/198 + 
       (3019243*s[13])/396 + (429637*s[14])/396 + (589307*s[15])/36 + 
       (1942432*s[16])/99 + (6292009*s[17])/396 + (298273*s[18])/162 + 
       (391481*s[19])/162 + (20596489*s[20])/891 + (28736305*s[21])/3564 - 
       (21568361*s[22])/3564 - (2312671*s[23])/198 - (23332729*s[24])/1782 + 
       (126671761*s[25])/8019 - (135789023*s[26])/16038 - 2*s[30] - 4*s[31] + 
       s[32] + s[33]/2 + 10*s[34] + 4*s[35] + 20*s[36] - (22*s[37])/3 - 
       452*s[38] + 1579*s[39] - 1703*s[40] + 1387*s[41] - 2241*s[42] - 
       (14181*s[43])/11 + (28107*s[44])/22 - (59017*s[45])/33 + 
       (418708*s[46])/33 - (46567*s[47])/66 + (24911*s[48])/66 + 
       (418309*s[49])/66 - (115658*s[50])/11 - (108289*s[51])/66 - 
       (81857*s[52])/66 + (718757*s[53])/99 + (11542*s[54])/33 + 
       (3052117*s[55])/66 + (2011577*s[56])/198 - (1545463*s[57])/297 + 
       (32003599*s[58])/1782 - (33908341*s[59])/1782 - (42601385*s[60])/396 + 
       (84692629*s[61])/16038 - 32*s[63] + 16*s[69] - 8*s[72] - 8*s[73] + 
       6*s[74] - 6*s[75] + 8*s[76] - 8*s[78] - 88*s[79] + (52*s[80])/3 - 
       128*s[82] + 6*s[83] - 12*s[84] - 16*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]^2*(-7*s[2] - 44*s[3] - 
       (1203*s[4])/2 - (9479*s[5])/22 - (10896*s[6])/11 - 
       (1225607*s[7])/132 + (488035*s[8])/594 + (421673*s[9])/54 + 
       (61067*s[10])/27 + (4066615*s[11])/396 + (2254387*s[12])/198 + 
       (2702839*s[13])/396 + (325489*s[14])/396 + (438887*s[15])/36 + 
       (1535542*s[16])/99 + (4610197*s[17])/396 + (282667*s[18])/162 + 
       (212201*s[19])/162 + (16167922*s[20])/891 + (23341597*s[21])/3564 - 
       (17345021*s[22])/3564 - (2349697*s[23])/198 - (17624389*s[24])/1782 + 
       (105934924*s[25])/8019 - (114704993*s[26])/16038 - 2*s[30] - 4*s[31] - 
       3*s[32] + s[33]/2 + 10*s[34] + 4*s[35] + 20*s[36] - (118*s[37])/3 - 
       376*s[38] + 1471*s[39] - 1599*s[40] + 1211*s[41] - 2129*s[42] - 
       (12817*s[43])/11 + (27623*s[44])/22 - (42517*s[45])/33 + 
       (342148*s[46])/33 - (42475*s[47])/66 + (6563*s[48])/66 + 
       (353761*s[49])/66 - (86354*s[50])/11 - (95837*s[51])/66 - 
       (79349*s[52])/66 + (539765*s[53])/99 - (11822*s[54])/33 + 
       (2259193*s[55])/66 + (1802885*s[56])/198 - (3538333*s[57])/297 + 
       (30115867*s[58])/1782 - (30309889*s[59])/1782 - (32945453*s[60])/396 + 
       (71082901*s[61])/16038 - 8*s[72] - 8*s[73] + 6*s[74] - 6*s[75] + 
       8*s[76] - 8*s[78] - 88*s[79] + (52*s[80])/3 - 104*s[82] + 6*s[83] - 
       12*s[84] - 16*s[85]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((-4*s[2])/3 - (167*s[3])/18 + (775*s[4])/36 - 
       (32003*s[5])/792 - (125963*s[6])/3168 - (9338279*s[7])/28512 - 
       (106529*s[8])/28512 + (703913*s[9])/2592 + (29593*s[10])/162 + 
       (5412299*s[11])/19008 + (3669395*s[12])/19008 + (966953*s[13])/14256 + 
       (2772007*s[14])/9504 + (1697183*s[15])/2592 + (9437543*s[16])/14256 + 
       (46416091*s[17])/57024 + (508049*s[18])/7776 + (707701*s[19])/7776 + 
       (77706667*s[20])/85536 + (301205*s[21])/792 - (6506645*s[22])/42768 + 
       (12615545*s[23])/57024 - (83568077*s[24])/171072 + 
       (132435803*s[25])/513216 - (127252397*s[26])/513216 + (14*s[30])/9 - 
       (4*s[34])/3 - (223*s[35])/36 - (55*s[36])/18 + (521*s[37])/108 + 
       (85*s[38])/6 - (1151*s[39])/18 + (1153*s[40])/18 - (941*s[41])/18 + 
       (932*s[42])/9 + (3805*s[43])/396 - (21515*s[44])/792 - 
       (118295*s[45])/1188 + (180313*s[46])/594 + (195317*s[47])/3168 - 
       (269125*s[48])/3168 - (39359*s[49])/1056 - (430757*s[50])/1584 + 
       (825793*s[51])/9504 + (7489*s[52])/132 + (924355*s[53])/3564 - 
       (3271*s[54])/1188 + (18554221*s[55])/9504 + (12435745*s[56])/28512 + 
       (37982795*s[57])/21384 - (11551945*s[58])/256608 - 
       (13143173*s[59])/256608 - (180338987*s[60])/57024 + 
       (311723455*s[61])/1154736 - (13*s[74])/18 + (13*s[75])/18 + s[76]/9 + 
       (106*s[79])/9 - (113*s[80])/54 - (1031*s[82])/12 + (2*s[84])/3 - 
       16*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]*
      ((-79*s[3])/8 + (1213*s[4])/16 + (8159*s[5])/352 + (126455*s[6])/1584 + 
       (1133675*s[7])/1584 - (450845*s[8])/4752 - (132635*s[9])/216 - 
       (47587*s[10])/864 - (5150291*s[11])/6336 - (6193193*s[12])/6336 - 
       (1979393*s[13])/3168 + (184451*s[14])/1584 - (701381*s[15])/864 - 
       (1668719*s[16])/1584 - (3691807*s[17])/6336 - (103153*s[18])/648 + 
       (1579*s[19])/2592 - (33572981*s[20])/28512 - (1505881*s[21])/3564 + 
       (10999753*s[22])/28512 + (9880625*s[23])/6336 + 
       (31914161*s[24])/57024 - (288723317*s[25])/256608 + 
       (73235149*s[26])/128304 + (9*s[30])/4 + (3*s[31])/2 - s[32]/2 + 
       s[33]/2 - 4*s[34] - (13*s[35])/4 - (47*s[36])/8 + (3169*s[37])/144 + 
       (3217*s[38])/72 - (57527*s[39])/288 + (61091*s[40])/288 - 
       (15833*s[41])/96 + (88795*s[42])/288 + (391481*s[43])/3168 - 
       (259663*s[44])/2112 + (281113*s[45])/3168 - (172619*s[46])/176 + 
       (92227*s[47])/704 - (98975*s[48])/704 - (1050263*s[49])/2112 + 
       (1094161*s[50])/1584 + (3976087*s[51])/19008 + (138489*s[52])/704 - 
       (86491*s[53])/176 + (25943*s[54])/132 - (18348041*s[55])/6336 - 
       (5671283*s[56])/6336 + (11182865*s[57])/4752 - 
       (110154379*s[58])/57024 + (110462179*s[59])/57024 + 
       (87847847*s[60])/12672 - (93250523*s[61])/256608 + s[68]/4 - s[69]/2 - 
       (3*s[70])/2 + s[72] - s[74] + s[75] - s[76] + 2*s[77] + s[78] + 
       (43*s[79])/2 - (47*s[80])/8 - 108*s[82] - (3*s[83])/4 + (9*s[84])/2 - 
       16*s[85]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      ((-101*s[2])/48 - (263*s[3])/48 - (5705*s[4])/96 - (493613*s[5])/6336 - 
       (1035467*s[6])/6336 - (53364391*s[7])/38016 + (310681*s[8])/3168 + 
       (343721*s[9])/288 + (122981*s[10])/288 + (19077877*s[11])/12672 + 
       (312923*s[12])/198 + (34972445*s[13])/38016 + (4165823*s[14])/12672 + 
       (6801539*s[15])/3456 + (46439407*s[16])/19008 + 
       (77449615*s[17])/38016 + (1433005*s[18])/5184 + (1086185*s[19])/5184 + 
       (84396475*s[20])/28512 + (127985795*s[21])/114048 - 
       (9286795*s[22])/12672 - (12664471*s[23])/9504 - 
       (29850893*s[24])/19008 + (1890795719*s[25])/1026432 - 
       (1118300573*s[26])/1026432 - s[30]/12 - (5*s[31])/12 + (7*s[32])/24 - 
       (11*s[33])/24 - (23*s[34])/24 - (29*s[35])/24 + (4*s[36])/3 - 
       (55*s[37])/144 - (811*s[38])/24 + (13753*s[39])/96 - (5255*s[40])/32 + 
       (4203*s[41])/32 - (6557*s[42])/32 - (456217*s[43])/3168 + 
       (232681*s[44])/1584 - (676853*s[45])/3168 + (783325*s[46])/528 - 
       (289787*s[47])/9504 - (274633*s[48])/4752 + (6390833*s[49])/9504 - 
       (1843295*s[50])/1584 - (650491*s[51])/4752 - (999481*s[52])/9504 + 
       (7917385*s[53])/9504 + (16619*s[54])/1584 + (5684351*s[55])/1056 + 
       (4420511*s[56])/3168 - (1823999*s[57])/3168 + (60593809*s[58])/28512 - 
       (62338897*s[59])/28512 - (354325849*s[60])/28512 + 
       (90968707*s[61])/128304 + s[66]/4 - s[67]/4 - s[68]/4 - s[69]/4 - 
       s[70]/4 - (7*s[72])/12 + s[73]/4 + (11*s[74])/24 - (11*s[75])/24 + 
       s[76]/3 + s[77]/8 - (11*s[78])/12 - 11*s[79] + (95*s[80])/24 - 
       (847*s[82])/12 - s[83]/8 - (29*s[84])/4 - (31*s[85])/2) + 
     HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((-5*s[2])/2 - (263*s[3])/48 - (10951*s[4])/96 - (37927*s[5])/352 - 
       (1436969*s[6])/6336 - (6789991*s[7])/3168 + (9558017*s[8])/57024 + 
       (9407461*s[9])/5184 + (1578571*s[10])/2592 + (88057283*s[11])/38016 + 
       (94103461*s[12])/38016 + (27802903*s[13])/19008 + 
       (1702093*s[14])/4752 + (212891*s[15])/72 + (35004953*s[16])/9504 + 
       (113761589*s[17])/38016 + (5726669*s[18])/15552 + 
       (5696209*s[19])/15552 + (744629197*s[20])/171072 + 
       (266604067*s[21])/171072 - (192257957*s[22])/171072 - 
       (83734027*s[23])/38016 - (828570223*s[24])/342144 + 
       (9012331769*s[25])/3079296 - (4955677799*s[26])/3079296 + s[30]/12 - 
       s[31]/2 + (7*s[32])/24 + (29*s[33])/48 - (7*s[34])/12 - 
       (29*s[35])/48 + (139*s[36])/48 - (439*s[37])/72 - (4153*s[38])/72 + 
       (68567*s[39])/288 - (78623*s[40])/288 + (6677*s[41])/32 - 
       (99685*s[42])/288 - (674489*s[43])/3168 + (163591*s[44])/704 - 
       (155611*s[45])/528 + (6743819*s[46])/3168 - (128605*s[47])/1584 - 
       (76799*s[48])/3168 + (3122495*s[49])/3168 - (5267651*s[50])/3168 - 
       (577931*s[51])/2376 - (1178267*s[52])/6336 + (11296837*s[53])/9504 - 
       (51419*s[54])/1584 + (7981693*s[55])/1056 + (18447113*s[56])/9504 - 
       (18959251*s[57])/14256 + (270623311*s[58])/85536 - 
       (277349929*s[59])/85536 - (111546077*s[60])/6336 + 
       (1489876505*s[61])/1539648 - s[68]/2 + s[69]/2 + s[70]/2 - s[71]/8 - 
       s[72] + (11*s[74])/12 - (11*s[75])/12 + s[76] - (2*s[77])/3 - 
       (5*s[78])/6 - (167*s[79])/6 + (94*s[80])/9 - 64*s[82] - 12*s[84] - 
       14*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u]*
      ((-59*s[2])/24 + 2*s[3] + 114*s[4] + (887*s[5])/792 + (3874*s[6])/99 + 
       (7474711*s[7])/9504 - (1673999*s[8])/14256 - (825547*s[9])/1296 - 
       (103469*s[10])/1296 - (9020747*s[11])/9504 - (5711573*s[12])/4752 - 
       (7266319*s[13])/9504 + (2982217*s[14])/9504 - (744637*s[15])/864 - 
       (702133*s[16])/594 - (194915*s[17])/352 - (278801*s[18])/3888 - 
       (655549*s[19])/3888 - (24989675*s[20])/21384 - 
       (22160969*s[21])/85536 + (36064651*s[22])/85536 + 
       (3817499*s[23])/2376 + (2169029*s[24])/2673 - (271563341*s[25])/
        192456 + (209271529*s[26])/384912 - s[29]/2 + (11*s[30])/6 + 
       (7*s[32])/8 - (13*s[33])/8 - (17*s[34])/6 - (35*s[35])/6 - 
       (53*s[36])/18 + (625*s[37])/36 + (205*s[38])/3 - (1861*s[39])/8 + 
       (18005*s[40])/72 - (4271*s[41])/24 + (23617*s[42])/72 + 
       (3937*s[43])/24 - (14071*s[44])/72 + (3029*s[45])/24 - 
       (14711*s[46])/12 + (2879*s[47])/24 - (4049*s[48])/72 - 
       (55711*s[49])/72 + (3731*s[50])/4 + (25127*s[51])/108 + 
       (385*s[52])/2 - (64265*s[53])/108 + (367*s[54])/36 - 
       (65483*s[55])/18 - (191567*s[56])/216 + (348677*s[57])/162 - 
       (2103665*s[58])/972 + (2085143*s[59])/972 + (1065743*s[60])/108 - 
       (7087363*s[61])/17496 + s[72] + s[73] - (17*s[74])/12 + 
       (17*s[75])/12 + s[76] + s[78] + (77*s[79])/3 - (89*s[80])/18 - 
       (133*s[82])/3 - (3*s[83])/4 + (3*s[84])/2 - 14*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((-19*s[2])/8 + (1387*s[3])/144 - (28675*s[4])/288 - (13631*s[5])/198 - 
       (699109*s[6])/3168 - (24174859*s[7])/14256 + (1890763*s[8])/14256 + 
       (3705679*s[9])/2592 + (1206371*s[10])/2592 + (2927753*s[11])/1584 + 
       (4759943*s[12])/2376 + (17121617*s[13])/14256 + (170359*s[14])/528 + 
       (2860399*s[15])/1296 + (81364897*s[16])/28512 + 
       (15796571*s[17])/7128 + (314563*s[18])/864 + (439937*s[19])/2592 + 
       (5425157*s[20])/1584 + (110469479*s[21])/85536 - 
       (4790561*s[22])/5346 - (27342421*s[23])/14256 - 
       (75734059*s[24])/42768 + (1768272455*s[25])/769824 - 
       (127280167*s[26])/96228 + (7*s[30])/36 + (4*s[31])/9 + (49*s[32])/24 + 
       (89*s[33])/48 - (47*s[34])/18 + 3*s[35] + (263*s[36])/108 - 
       s[37]/432 - (3617*s[38])/72 + (11819*s[39])/48 - (123827*s[40])/432 + 
       (17693*s[41])/72 - (81161*s[42])/216 - (999745*s[43])/4752 + 
       (4648477*s[44])/19008 - (2119901*s[45])/9504 + (18288133*s[46])/9504 - 
       (4260263*s[47])/57024 - (2974979*s[48])/57024 + 
       (54244541*s[49])/57024 - (3542615*s[50])/2376 - 
       (15928171*s[51])/57024 - (11168833*s[52])/57024 + 
       (28960853*s[53])/28512 - (32515*s[54])/297 + (40402319*s[55])/6336 + 
       (34323793*s[56])/19008 - (19282321*s[57])/9504 + 
       (526846315*s[58])/171072 - (521989399*s[59])/171072 - 
       (5270265317*s[60])/342144 + (650810509*s[61])/769824 + (5*s[66])/6 - 
       s[67]/3 + (4*s[68])/3 - (7*s[69])/2 + (7*s[70])/2 + (7*s[71])/8 - 
       (7*s[72])/6 + (17*s[73])/18 + (61*s[74])/24 - (61*s[75])/24 - 
       (7*s[76])/6 - (43*s[77])/36 - (31*s[78])/18 - (71*s[79])/2 + 
       (1541*s[80])/216 - 26*s[82] - (7*s[83])/3 - (55*s[84])/2 - 
       (41*s[85])/3) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]^2*
      ((-25*s[2])/8 + (431*s[3])/18 - (895*s[4])/18 + (973*s[5])/36 - 
       (233*s[6])/18 - (2982101*s[7])/5184 + (92635*s[8])/2592 + 
       (1265491*s[9])/2592 + (596891*s[10])/2592 + (125017*s[11])/192 + 
       (313745*s[12])/432 + (2445157*s[13])/5184 - (14365*s[14])/576 + 
       (4003441*s[15])/5184 + (2604845*s[16])/2592 + (3627521*s[17])/5184 - 
       (41063*s[18])/2592 + (142627*s[19])/648 + (350159*s[20])/324 + 
       (3831677*s[21])/15552 - (5168159*s[22])/15552 - (323645*s[23])/1296 - 
       (1587115*s[24])/1944 + (15654523*s[25])/17496 - 
       (24750547*s[26])/69984 - s[28]/16 + s[29] + (19*s[30])/36 - 
       (151*s[31])/72 + (25*s[32])/24 + (11*s[33])/16 + (139*s[34])/72 + 
       (28*s[35])/3 + (1739*s[36])/108 - (3499*s[37])/432 - 
       (14845*s[38])/144 + (37319*s[39])/96 - (394867*s[40])/864 + 
       (54337*s[41])/144 - (118241*s[42])/216 - (3886241*s[43])/9504 + 
       (4222865*s[44])/9504 - (1864723*s[45])/4752 + (31481011*s[46])/9504 - 
       (191641*s[47])/7128 - (6735439*s[48])/28512 + (27753071*s[49])/14256 - 
       (25621709*s[50])/9504 - (5113111*s[51])/14256 - 
       (3696283*s[52])/14256 + (51068585*s[53])/28512 + 
       (1829353*s[54])/9504 + (36137399*s[55])/3168 + (2125099*s[56])/792 - 
       (22558523*s[57])/14256 + (198208277*s[58])/42768 - 
       (416632213*s[59])/85536 - (2479813313*s[60])/85536 + 
       (327500171*s[61])/256608 + s[64]/8 + s[65]/16 + (5*s[66])/12 - 
       (5*s[67])/3 + (8*s[68])/3 - (11*s[69])/2 - (55*s[70])/24 + 
       (7*s[71])/48 - 2*s[72] + (37*s[73])/9 + (53*s[74])/24 - (11*s[75])/6 + 
       (35*s[76])/24 + (151*s[77])/72 - (11*s[78])/9 - (931*s[79])/12 + 
       (4145*s[80])/216 - (377*s[82])/4 - (55*s[83])/48 - (77*s[84])/8 - 
       (41*s[85])/3) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      ((-21*s[2])/16 - (23*s[3])/4 - (8749*s[4])/96 - (167569*s[5])/2112 - 
       (381599*s[6])/2112 - (21023171*s[7])/12672 + (37733*s[8])/297 + 
       (1208681*s[9])/864 + (50795*s[10])/108 + (22740551*s[11])/12672 + 
       (6089731*s[12])/3168 + (4782587*s[13])/4224 + (3568925*s[14])/12672 + 
       (292091*s[15])/128 + (5988163*s[16])/2112 + (28890427*s[17])/12672 + 
       (1570733*s[18])/5184 + (1362823*s[19])/5184 + (96341963*s[20])/28512 + 
       (139762613*s[21])/114048 - (98919241*s[22])/114048 - 
       (57751*s[23])/33 - (105667931*s[24])/57024 + (2318329031*s[25])/
        1026432 - (1295482109*s[26])/1026432 + s[30]/2 + s[32]/8 + 
       (31*s[33])/32 - (5*s[34])/8 - (7*s[35])/8 + (9*s[36])/4 - 
       (115*s[37])/48 - (1147*s[38])/24 + (6137*s[39])/32 - (7045*s[40])/32 + 
       (16891*s[41])/96 - (26297*s[42])/96 - (201481*s[43])/1056 + 
       (102007*s[44])/528 - (277561*s[45])/1056 + (985741*s[46])/528 - 
       (127583*s[47])/3168 - (110305*s[48])/1584 + (2738201*s[49])/3168 - 
       (256573*s[50])/176 - (299419*s[51])/1584 - (465709*s[52])/3168 + 
       (3295099*s[53])/3168 - (15473*s[54])/528 + (21160345*s[55])/3168 + 
       (609773*s[56])/352 - (2682245*s[57])/3168 + (25599341*s[58])/9504 - 
       (26313299*s[59])/9504 - (147988537*s[60])/9504 + 
       (24631417*s[61])/28512 - s[66]/4 + s[67]/4 + s[68]/4 + s[69]/4 - 
       s[70]/4 + s[71]/4 - s[72]/4 + s[73]/4 + (5*s[74])/8 - (5*s[75])/8 + 
       s[76]/2 + s[77]/8 + (3*s[78])/4 - (37*s[79])/2 + (39*s[80])/8 - 
       (195*s[82])/4 - (3*s[83])/4 - (27*s[84])/2 - (27*s[85])/2) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - v]*
      ((-10*s[2])/9 - (85*s[3])/24 - (1873*s[4])/48 - (4937*s[5])/396 - 
       (65497*s[6])/1056 - (1865597*s[7])/3168 + (1622681*s[8])/28512 + 
       (1244533*s[9])/2592 + (29603*s[10])/162 + (12315917*s[11])/19008 + 
       (13458133*s[12])/19008 + (982249*s[13])/2376 + (487909*s[14])/9504 + 
       (232027*s[15])/288 + (1234151*s[16])/1188 + (15332663*s[17])/19008 + 
       (661847*s[18])/7776 + (984763*s[19])/7776 + (100036921*s[20])/85536 + 
       (16914461*s[21])/42768 - (3280183*s[22])/10692 - 
       (11168827*s[23])/19008 - (120577447*s[24])/171072 + 
       (1286572019*s[25])/1539648 - (670865765*s[26])/1539648 - 
       (5*s[32])/12 - (25*s[33])/36 - (5*s[34])/9 + (8*s[36])/27 + 
       (76*s[37])/27 - 11*s[38] + (961*s[39])/18 - (3283*s[40])/54 + 
       (2021*s[41])/36 - (8119*s[42])/108 - (75589*s[43])/1188 + 
       (152501*s[44])/2376 - (219811*s[45])/2376 + (519085*s[46])/792 + 
       (112235*s[47])/28512 - (1591819*s[48])/28512 + (9080593*s[49])/28512 - 
       (2572249*s[50])/4752 - (1508015*s[51])/28512 - (23752*s[52])/891 + 
       (32795*s[53])/88 + (30233*s[54])/396 + (7620949*s[55])/3168 + 
       (16972931*s[56])/28512 - (1957685*s[57])/21384 + 
       (226312381*s[58])/256608 - (233013331*s[59])/256608 - 
       (980587783*s[60])/171072 + (184962223*s[61])/577368 - (5*s[70])/3 - 
       (5*s[74])/36 + (5*s[75])/36 + (5*s[77])/3 - (10*s[79])/9 + 
       (5*s[80])/27 - (841*s[82])/12 - (40*s[85])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*
      ((-91*s[2])/48 - (253*s[3])/48 - (967*s[4])/8 - (29961*s[5])/352 - 
       (5179*s[6])/22 - (76408241*s[7])/38016 + (9124015*s[8])/57024 + 
       (8784767*s[9])/5184 + (2727997*s[10])/5184 + (84423907*s[11])/38016 + 
       (23221295*s[12])/9504 + (55990955*s[13])/38016 + 
       (10192495*s[14])/38016 + (9043603*s[15])/3456 + 
       (64070839*s[16])/19008 + (32314399*s[17])/12672 + 
       (6148129*s[18])/15552 + (513703*s[19])/1944 + (342616291*s[20])/
        85536 + (505427485*s[21])/342144 - (361716977*s[22])/342144 - 
       (11216345*s[23])/4752 - (184928453*s[24])/85536 + 
       (4326806777*s[25])/1539648 - (2415121421*s[26])/1539648 + s[30]/6 - 
       (7*s[31])/12 + (5*s[32])/16 + s[33]/32 + s[34]/2 + (11*s[35])/24 + 
       (215*s[36])/48 - (49*s[37])/16 - (1141*s[38])/16 + (55475*s[39])/192 - 
       (62447*s[40])/192 + (49565*s[41])/192 - (26551*s[42])/64 - 
       (552193*s[43])/2112 + (575951*s[44])/2112 - (932285*s[45])/3168 + 
       (14630503*s[46])/6336 - (60355*s[47])/704 - (71717*s[48])/1056 + 
       (826457*s[49])/704 - (464443*s[50])/264 - (50411*s[51])/176 - 
       (248755*s[52])/1056 + (22821305*s[53])/19008 - (90677*s[54])/1584 + 
       (24277265*s[55])/3168 + (39774841*s[56])/19008 - 
       (125036101*s[57])/57024 + (311962591*s[58])/85536 - 
       (312096727*s[59])/85536 - (717032483*s[60])/38016 + 
       (783786877*s[61])/769824 + s[68]/4 - s[69]/4 + (5*s[71])/16 - 
       (13*s[72])/12 + s[73]/12 + (19*s[74])/16 - (19*s[75])/16 + 
       (7*s[76])/6 + (11*s[77])/24 - (3*s[78])/4 - (295*s[79])/12 + 
       (169*s[80])/36 - (77*s[82])/2 - (25*s[84])/2 - 13*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - u]*
      (-s[2] - (35*s[3])/8 - (99*s[4])/16 - (4051*s[5])/132 - 
       (112987*s[6])/2112 - (271771*s[7])/528 + (47665*s[8])/2112 + 
       (84959*s[9])/192 + (3141*s[10])/16 + (2252131*s[11])/4224 + 
       (2248613*s[12])/4224 + (1765067*s[13])/6336 + (109691*s[14])/528 + 
       (221543*s[15])/288 + (719833*s[16])/792 + (10325003*s[17])/12672 + 
       (203447*s[18])/1728 + (132433*s[19])/1728 + (23067313*s[20])/19008 + 
       (9039101*s[21])/19008 - (1691563*s[22])/6336 - (3354233*s[23])/12672 - 
       (7668701*s[24])/12672 + (205844071*s[25])/342144 - 
       (138248365*s[26])/342144 - s[32]/4 - s[33]/4 - s[34] + (3*s[35])/8 + 
       (11*s[36])/24 + (65*s[37])/18 - (65*s[38])/12 + (509*s[39])/24 - 
       (697*s[40])/24 + (211*s[41])/8 - (74*s[42])/3 - (4445*s[43])/88 + 
       (45623*s[44])/1056 - (12029*s[45])/132 + (46659*s[46])/88 + 
       (15929*s[47])/704 - (158485*s[48])/2112 + (474289*s[49])/2112 - 
       (460781*s[50])/1056 - (112109*s[51])/6336 - (6331*s[52])/1056 + 
       (498427*s[53])/1584 + (742*s[54])/33 + (13419011*s[55])/6336 + 
       (3162701*s[56])/6336 + (2333533*s[57])/4752 + (32426275*s[58])/57024 - 
       (34779865*s[59])/57024 - (61562923*s[60])/12672 + 
       (34001203*s[61])/128304 - s[70] - s[74]/4 + s[75]/4 + s[77] - 
       2*s[79] + (5*s[80])/6 - (245*s[82])/4 - 12*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 1 - u]*
      ((77*s[2])/4 - (1207*s[3])/8 - (35031*s[4])/16 - (18211*s[5])/44 - 
       (472585*s[6])/176 - (70738573*s[7])/3168 + (12458539*s[8])/4752 + 
       (1949885*s[9])/108 + (941159*s[10])/216 + (80249431*s[11])/3168 + 
       (11722177*s[12])/396 + (19398463*s[13])/1056 - (3441881*s[14])/3168 + 
       (2575321*s[15])/96 + (1194964*s[16])/33 + (75514697*s[17])/3168 + 
       (1298065*s[18])/324 + (3604703*s[19])/1296 + (567046739*s[20])/14256 + 
       (369423121*s[21])/28512 - (330790397*s[22])/28512 - 
       (9440705*s[23])/264 - (80083747*s[24])/3564 + (4411321979*s[25])/
        128304 - (2159909663*s[26])/128304 - s[28] + 16*s[29] - 17*s[30] - 
       27*s[31] - (9*s[32])/2 - (411*s[33])/8 + 24*s[34] + (245*s[35])/2 + 
       (55*s[36])/2 - (553*s[37])/4 - (1901*s[38])/2 + 4168*s[39] - 
       (9275*s[40])/2 + (14383*s[41])/4 - (12411*s[42])/2 - 
       (34678*s[43])/11 + (628027*s[44])/176 - (253005*s[45])/88 + 
       (2355231*s[46])/88 - (352703*s[47])/176 + (87385*s[48])/176 + 
       (2501221*s[49])/176 - (218043*s[50])/11 - (2286085*s[51])/528 - 
       (633241*s[52])/176 + (588849*s[53])/44 - (22459*s[54])/11 + 
       (43717733*s[55])/528 + (4225555*s[56])/176 - (3589613*s[57])/88 + 
       (24323405*s[58])/528 - (23832635*s[59])/528 - (220687109*s[60])/1056 + 
       (53227849*s[61])/4752 + 2*s[64] + 3*s[65] + 8*s[66] - 14*s[67] - 
       12*s[68] - 48*s[69] - 3*s[71] - 25*s[72] + 13*s[73] + (111*s[74])/4 - 
       (111*s[75])/4 + 51*s[76] + (25*s[77])/2 - 73*s[78] - 468*s[79] + 
       (271*s[80])/2 + s[81]/3 + 294*s[82] + 9*s[83] - 96*s[84] - 12*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1}, 1 - u]*
      ((-209*s[2])/4 + (1125*s[3])/8 - (22069*s[4])/16 - (109487*s[5])/88 - 
       (528529*s[6])/176 - (79719953*s[7])/3168 + (9339911*s[8])/4752 + 
       (584881*s[9])/27 + (326047*s[10])/54 + (88242575*s[11])/3168 + 
       (24387865*s[12])/792 + (19753091*s[13])/1056 + (12190727*s[14])/3168 + 
       (1025495*s[15])/32 + (10946341*s[16])/264 + (98506945*s[17])/3168 + 
       (1686191*s[18])/324 + (3215767*s[19])/1296 + (713925115*s[20])/14256 + 
       (538017341*s[21])/28512 - (381772381*s[22])/28512 - 
       (4008563*s[23])/132 - (184679287*s[24])/7128 + 
       (4485238123*s[25])/128304 - (2542428643*s[26])/128304 - (3*s[30])/2 - 
       28*s[31] + 7*s[32] - (19*s[33])/4 + (125*s[34])/2 + (245*s[35])/2 + 
       (55*s[36])/2 - (553*s[37])/4 - (1901*s[38])/2 + 4168*s[39] - 
       (9275*s[40])/2 + (14383*s[41])/4 - (12411*s[42])/2 - 
       (34678*s[43])/11 + (628027*s[44])/176 - (253005*s[45])/88 + 
       (2355231*s[46])/88 - (352703*s[47])/176 + (87385*s[48])/176 + 
       (2501221*s[49])/176 - (218043*s[50])/11 - (2286085*s[51])/528 - 
       (633241*s[52])/176 + (588849*s[53])/44 - (22459*s[54])/11 + 
       (43717733*s[55])/528 + (4225555*s[56])/176 - (3589613*s[57])/88 + 
       (24323405*s[58])/528 - (23832635*s[59])/528 - (220687109*s[60])/1056 + 
       (53227849*s[61])/4752 + 2*s[64] + 3*s[65] + 8*s[66] - 14*s[67] - 
       12*s[68] - 48*s[69] - 3*s[71] - 25*s[72] + 13*s[73] + (111*s[74])/4 - 
       (111*s[75])/4 + 51*s[76] + (25*s[77])/2 - 73*s[78] - 468*s[79] + 
       (271*s[80])/2 + s[81]/3 + 294*s[82] + 9*s[83] - 96*s[84] - 12*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((25*s[2])/2 - (11*s[3])/2 + (297*s[4])/8 + (29077*s[5])/176 + 
       (48175*s[6])/176 + (602179*s[7])/198 - (320767*s[8])/1584 - 
       (384437*s[9])/144 - (149977*s[10])/144 - (1745461*s[11])/528 - 
       (1836709*s[12])/528 - (794857*s[13])/396 - (101461*s[14])/132 - 
       (604511*s[15])/144 - (528358*s[16])/99 - (1767539*s[17])/396 - 
       (232079*s[18])/432 - (58351*s[19])/108 - (1976560*s[20])/297 - 
       (1403741*s[21])/528 + (966929*s[22])/594 + (858239*s[23])/396 + 
       (4148365*s[24])/1188 - (110195309*s[25])/28512 + 
       (69097745*s[26])/28512 + (5*s[30])/2 + 8*s[31] - 2*s[32] + 
       (155*s[33])/8 - (37*s[34])/2 - (43*s[35])/2 + (259*s[36])/12 + 
       (29*s[37])/2 + (23*s[38])/4 - (4861*s[39])/16 + (16019*s[40])/48 - 
       (3539*s[41])/16 + (24445*s[42])/48 + (84769*s[43])/528 - 
       (283583*s[44])/1056 + (4259*s[45])/88 - (729445*s[46])/528 + 
       (818461*s[47])/3168 - (926249*s[48])/3168 - (3360991*s[49])/3168 + 
       (76019*s[50])/66 + (770123*s[51])/3168 + (548909*s[52])/3168 - 
       (1142639*s[53])/1584 - (105587*s[54])/264 - (4544365*s[55])/1056 - 
       (2600365*s[56])/3168 + (8507707*s[57])/2376 - (77314067*s[58])/28512 + 
       (79679465*s[59])/28512 + (212263021*s[60])/19008 - 
       (109152323*s[61])/256608 - 6*s[66] + 6*s[67] + 6*s[68] + 6*s[69] + 
       6*s[70] + (33*s[71])/4 + 10*s[72] - 6*s[73] - s[74] + s[75] - 
       4*s[76] - 9*s[77] + 26*s[78] + 32*s[79] - (129*s[80])/2 + 186*s[82] - 
       12*s[83] - 84*s[84] - 12*s[85]) + HPL[{1}, 1 - u]^3*
      HPL[{0, 1}, 1 - w]^2*((-19*s[2])/8 - (25*s[3])/16 - (24217*s[4])/96 - 
       (91007*s[5])/528 - (57295*s[6])/132 - (12602039*s[7])/3168 + 
       (1036861*s[8])/3168 + (60629*s[9])/18 + (292675*s[10])/288 + 
       (9278977*s[11])/2112 + (3405379*s[12])/704 + (9265765*s[13])/3168 + 
       (117379*s[14])/264 + (501385*s[15])/96 + (21156859*s[16])/3168 + 
       (32012665*s[17])/6336 + (313843*s[18])/432 + (123985*s[19])/216 + 
       (74583937*s[20])/9504 + (998351*s[21])/352 - (9991469*s[22])/4752 - 
       (30216049*s[23])/6336 - (81736697*s[24])/19008 + 
       (320137201*s[25])/57024 - (174439369*s[26])/57024 - (3*s[30])/4 - 
       s[31] + s[32]/4 + (5*s[33])/16 + (5*s[34])/2 + (17*s[35])/4 + 
       (277*s[36])/24 - (395*s[37])/24 - 149*s[38] + (9491*s[39])/16 - 
       (10619*s[40])/16 + (25067*s[41])/48 - (41057*s[42])/48 - 
       (25051*s[43])/48 + (106043*s[44])/192 - (26821*s[45])/48 + 
       (54199*s[46])/12 - (37621*s[47])/192 - (16393*s[48])/192 + 
       (453871*s[49])/192 - (55353*s[50])/16 - (336551*s[51])/576 - 
       (30135*s[52])/64 + (170945*s[53])/72 - (3767*s[54])/48 + 
       (8653859*s[55])/576 + (2304119*s[56])/576 - (3885361*s[57])/864 + 
       (37075807*s[58])/5184 - (37479241*s[59])/5184 - 
       (42543529*s[60])/1152 + (89360647*s[61])/46656 + s[66]/2 - s[67]/2 + 
       s[68]/2 - (3*s[69])/2 - s[70]/2 + s[71]/2 - (5*s[72])/2 + s[73]/2 + 
       (23*s[74])/8 - (23*s[75])/8 + 2*s[76] + (5*s[77])/4 - (5*s[78])/2 - 
       59*s[79] + (77*s[80])/6 - 26*s[82] - 24*s[84] - 12*s[85]) + 
     HPL[{0, 1}, 1 - u]*Nt[u, v, w]*((-13*s[2])/6 - (37*s[3])/6 - 
       (592*s[4])/3 - (39781*s[5])/264 - (12103*s[6])/33 - 
       (1307789*s[7])/396 + (323513*s[8])/1188 + (75331*s[9])/27 + 
       (187057*s[10])/216 + (5729275*s[11])/1584 + (6262469*s[12])/1584 + 
       (233330*s[13])/99 + (355043*s[14])/792 + (315305*s[15])/72 + 
       (1101187*s[16])/198 + (2265485*s[17])/528 + (101569*s[18])/162 + 
       (298319*s[19])/648 + (47048303*s[20])/7128 + (8527747*s[21])/3564 - 
       (12376489*s[22])/7128 - (6129685*s[23])/1584 - 
       (50750435*s[24])/14256 + (294752009*s[25])/64152 - 
       (40617239*s[26])/16038 - s[30]/3 - (2*s[31])/3 + (2*s[32])/3 + 
       (17*s[33])/12 + (2*s[34])/3 + (8*s[35])/3 + (20*s[36])/3 - 14*s[37] - 
       106*s[38] + (1355*s[39])/3 - (1531*s[40])/3 + (1198*s[41])/3 - 
       (1981*s[42])/3 - (12827*s[43])/33 + (111775*s[44])/264 - 
       (62309*s[45])/132 + (161025*s[46])/44 - (15577*s[47])/99 - 
       (4786*s[48])/99 + (175981*s[49])/99 - (370565*s[50])/132 - 
       (45434*s[51])/99 - (289939*s[52])/792 + (386795*s[53])/198 - 
       (7985*s[54])/66 + (4909621*s[55])/396 + (661433*s[56])/198 - 
       (3899875*s[57])/1188 + (20380199*s[58])/3564 - (10233871*s[59])/1782 - 
       (70722049*s[60])/2376 + (26049967*s[61])/16038 - (4*s[72])/3 + 
       (7*s[74])/3 - (7*s[75])/3 + (4*s[76])/3 - (2*s[78])/3 - 46*s[79] + 
       (44*s[80])/3 - 68*s[82] - s[83]/2 - 23*s[84] - 12*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*
      ((25*s[2])/12 + (5369*s[4])/12 + (7127*s[5])/66 + (121819*s[6])/264 + 
       (101433*s[7])/22 - (52747*s[8])/99 - (547253*s[9])/144 - 
       (123445*s[10])/144 - (939073*s[11])/176 - (6645455*s[12])/1056 - 
       (4184651*s[13])/1056 + (565439*s[14])/1056 - (776531*s[15])/144 - 
       (644209*s[16])/88 - (4806251*s[17])/1056 - (666887*s[18])/864 - 
       (571051*s[19])/864 - (37965863*s[20])/4752 - (12531047*s[21])/4752 + 
       (23122457*s[22])/9504 + (2654787*s[23])/352 + (22292557*s[24])/4752 - 
       (311139605*s[25])/42768 + (301520677*s[26])/85536 + s[28]/6 - 
       3*s[29] - s[30]/2 + s[31]/3 - (5*s[32])/3 - (33*s[33])/8 - 
       (17*s[34])/2 - (29*s[35])/6 - (391*s[36])/18 + (665*s[37])/24 + 
       (1333*s[38])/6 - (9563*s[39])/12 + (30053*s[40])/36 - (1928*s[41])/3 + 
       (82493*s[42])/72 + (442313*s[43])/792 - (965143*s[44])/1584 + 
       (16255*s[45])/44 - (3132791*s[46])/792 + (1843463*s[47])/4752 - 
       (974143*s[48])/4752 - (24264133*s[49])/9504 + (1151527*s[50])/396 + 
       (7628075*s[51])/9504 + (3254029*s[52])/4752 - (8818211*s[53])/4752 + 
       (171971*s[54])/1584 - (17525663*s[55])/1584 - (28086637*s[56])/9504 + 
       (119280641*s[57])/14256 - (631469213*s[58])/85536 + 
       (623553551*s[59])/85536 + (1735434949*s[60])/57024 - 
       (257442941*s[61])/192456 - s[65]/3 - 3*s[66] + 5*s[67] - s[68] + 
       10*s[69] - s[70]/3 - (5*s[71])/3 + 5*s[72] - 7*s[73] - (19*s[74])/3 + 
       (19*s[75])/3 - (4*s[76])/3 - (29*s[77])/6 + (5*s[78])/3 + 32*s[79] + 
       (25*s[80])/3 - 252*s[82] + s[83] + 38*s[84] - 12*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((-7*s[2])/2 - (31*s[3])/6 + (1175*s[4])/3 + (14809*s[5])/132 + 
       (131261*s[6])/264 + (1178494*s[7])/297 - (3184009*s[8])/7128 - 
       (2140541*s[9])/648 - (209075*s[10])/324 - (21547729*s[11])/4752 - 
       (25320503*s[12])/4752 - (879173*s[13])/264 + (275291*s[14])/1188 - 
       (41186*s[15])/9 - (4949729*s[16])/792 - (18537413*s[17])/4752 - 
       (790769*s[18])/972 - (74701*s[19])/243 - (149088749*s[20])/21384 - 
       (6379906*s[21])/2673 + (44904397*s[22])/21384 + (3704323*s[23])/528 + 
       (158705561*s[24])/42768 - (2361131035*s[25])/384912 + 
       (1183164163*s[26])/384912 + 3*s[30] - (2*s[31])/3 + (2*s[32])/3 - 
       (79*s[33])/12 + s[34]/3 - (29*s[35])/3 - (211*s[36])/9 + 
       (1333*s[37])/36 + (513*s[38])/2 - (11333*s[39])/12 + 
       (37363*s[40])/36 - (1645*s[41])/2 + (12272*s[42])/9 + 
       (296399*s[43])/396 - (153649*s[44])/198 + (525755*s[45])/792 - 
       (516759*s[46])/88 + (953477*s[47])/2376 - (88861*s[48])/2376 - 
       (3812623*s[49])/1188 + (1719341*s[50])/396 + (1201205*s[51])/1188 + 
       (977675*s[52])/1188 - (257439*s[53])/88 + (14837*s[54])/33 - 
       (14282647*s[55])/792 - (6104819*s[56])/1188 + (32794499*s[57])/3564 - 
       (217849277*s[58])/21384 + (26945539*s[59])/2673 + 
       (659801729*s[60])/14256 - (891104803*s[61])/384912 + 2*s[66] - 
       2*s[67] - 2*s[68] - 2*s[69] - 2*s[70] - (9*s[71])/2 + (2*s[72])/3 + 
       2*s[73] - (13*s[74])/3 + (13*s[75])/3 - (8*s[76])/3 + s[77] - 
       (14*s[78])/3 + (296*s[79])/3 - (59*s[80])/18 - 258*s[82] + s[83] + 
       46*s[84] - 12*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 1}, 1 - w]*((59*s[2])/6 + (16*s[3])/3 - (4541*s[4])/16 - 
       (4817*s[5])/176 - (43091*s[6])/176 - (3873473*s[7])/1584 + 
       (940373*s[8])/3564 + (2651803*s[9])/1296 + (564329*s[10])/1296 + 
       (26130965*s[11])/9504 + (30188659*s[12])/9504 + (4865585*s[13])/2376 - 
       (1139705*s[14])/4752 + (322643*s[15])/108 + (9204137*s[16])/2376 + 
       (24053225*s[17])/9504 + (1146215*s[18])/3888 + (783767*s[19])/1944 + 
       (44363083*s[20])/10692 + (49220239*s[21])/42768 - 
       (56077775*s[22])/42768 - (37112467*s[23])/9504 - 
       (216931279*s[24])/85536 + (1496673973*s[25])/384912 - 
       (82508057*s[26])/48114 - (5*s[30])/2 + 3*s[31] - s[32]/24 + 
       (69*s[33])/16 + (11*s[34])/12 + (47*s[35])/4 + (1229*s[36])/72 - 
       (505*s[37])/24 - (921*s[38])/8 + (46925*s[39])/96 - 
       (167387*s[40])/288 + (45755*s[41])/96 - (210109*s[42])/288 - 
       (1512673*s[43])/3168 + (3133523*s[44])/6336 - (132835*s[45])/264 + 
       (12867787*s[46])/3168 - (1770037*s[47])/19008 - 
       (2606455*s[48])/19008 + (37644391*s[49])/19008 - (1256939*s[50])/396 - 
       (10244243*s[51])/19008 - (7901489*s[52])/19008 + 
       (20843237*s[53])/9504 - (528097*s[54])/1584 + (29177243*s[55])/2112 + 
       (70944733*s[56])/19008 - (2751703*s[57])/891 + 
       (1044689123*s[58])/171072 - (1062725645*s[59])/171072 - 
       (3814293337*s[60])/114048 + (2592731873*s[61])/1539648 - 
       (11*s[66])/3 + (11*s[67])/3 + (11*s[68])/3 + (11*s[69])/3 + 
       (5*s[70])/6 + (43*s[71])/24 - s[72] + s[73] + (71*s[74])/24 - 
       (77*s[75])/24 + (14*s[76])/3 + (29*s[78])/3 - (314*s[79])/3 + 
       (31*s[80])/2 + (95*s[82])/2 - (23*s[83])/4 - 80*s[84] - 11*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]^2*
      ((-187*s[2])/48 - (433*s[3])/32 + (21913*s[4])/192 + (40*s[5])/11 + 
       (61095*s[6])/704 + (31411747*s[7])/38016 - (6930379*s[8])/57024 - 
       (1810141*s[9])/2592 - (157799*s[10])/2592 - (35773483*s[11])/38016 - 
       (21806563*s[12])/19008 - (9453605*s[13])/12672 + 
       (7554935*s[14])/38016 - (1051559*s[15])/1152 - (638885*s[16])/528 - 
       (24197981*s[17])/38016 - (1138211*s[18])/7776 - (608459*s[19])/15552 - 
       (217475363*s[20])/171072 - (127299019*s[21])/342144 + 
       (152542679*s[22])/342144 + (11622785*s[23])/6336 + 
       (108857821*s[24])/171072 - (522532565*s[25])/384912 + 
       (467645623*s[26])/769824 + (35*s[30])/12 - s[31]/12 - (19*s[32])/24 + 
       (33*s[33])/32 - (9*s[34])/4 - 8*s[35] - (21*s[36])/4 + 
       (1795*s[37])/144 + (209*s[38])/4 - (8079*s[39])/32 + 
       (27173*s[40])/96 - (7543*s[41])/32 + (37751*s[42])/96 + 
       (60353*s[43])/352 - (208763*s[44])/1056 + (401015*s[45])/3168 - 
       (1114085*s[46])/792 + (52727*s[47])/396 - (335105*s[48])/3168 - 
       (148099*s[49])/198 + (571405*s[50])/528 + (935909*s[51])/3168 + 
       (181193*s[52])/792 - (6994897*s[53])/9504 + (237455*s[54])/1584 - 
       (14077585*s[55])/3168 - (5738893*s[56])/4752 + 
       (71343065*s[57])/28512 - (213152431*s[58])/85536 + 
       (214648771*s[59])/85536 + (203521763*s[60])/19008 - 
       (98714977*s[61])/192456 - s[62]/12 + s[69] - s[70] - (17*s[71])/24 + 
       (5*s[72])/4 + s[73]/12 - (115*s[74])/48 + (113*s[75])/48 + 
       (7*s[76])/6 - (23*s[77])/24 + s[78]/12 + 49*s[79] - (869*s[80])/72 - 
       (397*s[82])/4 + s[83]/2 + 12*s[84] - 11*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((-5*s[2])/6 - (5*s[3])/3 - (50*s[4])/3 - (5117*s[5])/264 - 
       (13369*s[6])/352 - (2052373*s[7])/4752 + (779491*s[8])/28512 + 
       (954563*s[9])/2592 + (200801*s[10])/1296 + (8825215*s[11])/19008 + 
       (9210383*s[12])/19008 + (300697*s[13])/1056 + (979379*s[14])/9504 + 
       (87799*s[15])/144 + (609581*s[16])/792 + (12375119*s[17])/19008 + 
       (13937*s[18])/243 + (411973*s[19])/3888 + (19635413*s[20])/21384 + 
       (13168387*s[21])/42768 - (611924*s[22])/2673 - (476797*s[23])/2112 - 
       (93216743*s[24])/171072 + (889557103*s[25])/1539648 - 
       (469064269*s[26])/1539648 - (5*s[32])/12 - (5*s[33])/12 + 
       (5*s[35])/3 + (5*s[36])/9 + (23*s[37])/72 - (55*s[38])/6 + 
       (229*s[39])/8 - (2581*s[40])/72 + (757*s[41])/24 - (1267*s[42])/36 - 
       (4135*s[43])/99 + (72823*s[44])/1584 - (59137*s[45])/792 + 
       (40985*s[46])/88 + (79067*s[47])/9504 - (564103*s[48])/9504 + 
       (263735*s[49])/1188 - (633667*s[50])/1584 - (78431*s[51])/2376 - 
       (64117*s[52])/4752 + (423535*s[53])/1584 + (35267*s[54])/528 + 
       (5608759*s[55])/3168 + (1933435*s[56])/4752 + (3466115*s[57])/14256 + 
       (11500855*s[58])/21384 - (11622175*s[59])/21384 - 
       (122993489*s[60])/28512 + (84969659*s[61])/384912 - (5*s[70])/3 + 
       (5*s[77])/3 - (10*s[79])/3 + (5*s[80])/9 - (241*s[82])/4 - 10*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      ((-131*s[2])/4 + (907*s[3])/24 + (16585*s[4])/48 - (6706*s[5])/33 - 
       (59821*s[6])/528 + (1692049*s[7])/9504 - (4000189*s[8])/14256 - 
       (7219*s[9])/648 + (300367*s[10])/648 - (4703371*s[11])/9504 - 
       (2928113*s[12])/2376 - (2830271*s[13])/3168 + (15298181*s[14])/9504 + 
       (45109*s[15])/96 + (18925*s[16])/132 + (15933967*s[17])/9504 + 
       (342589*s[18])/1944 - (423191*s[19])/3888 + (46678033*s[20])/42768 + 
       (91409627*s[21])/85536 + (8936705*s[22])/85536 + (345110*s[23])/99 - 
       (2598643*s[24])/21384 - (143348387*s[25])/96228 - 
       (717895*s[26])/24057 - 2*s[29] + (15*s[30])/2 - (34*s[31])/3 + 
       (23*s[32])/6 - (8*s[33])/3 + (85*s[34])/6 - (47*s[35])/6 + 
       (71*s[36])/18 + (299*s[37])/36 + 123*s[38] - (4435*s[39])/12 + 
       (15323*s[40])/36 - (1365*s[41])/4 + (9611*s[42])/18 + 
       (91447*s[43])/396 - (423937*s[44])/1584 + (179959*s[45])/792 - 
       (514913*s[46])/264 + (1024985*s[47])/4752 - (582643*s[48])/4752 - 
       (4930127*s[49])/4752 + (150262*s[50])/99 + (2115397*s[51])/4752 + 
       (1738717*s[52])/4752 - (82592*s[53])/99 - (3959*s[54])/44 - 
       (8910835*s[55])/1584 - (7955257*s[56])/4752 + (36521993*s[57])/7128 - 
       (177037481*s[58])/42768 + (163736543*s[59])/42768 + 
       (449711699*s[60])/28512 - (272152601*s[61])/384912 + 4*s[65] + 
       7*s[66] - 9*s[67] - 5*s[68] - 20*s[69] - s[70] - 4*s[71] - 
       (17*s[72])/3 + 13*s[73] + (7*s[74])/12 - (7*s[75])/12 - (7*s[76])/3 + 
       (13*s[77])/2 - (55*s[78])/3 + (262*s[79])/3 - (37*s[80])/18 - 
       124*s[82] - (37*s[83])/4 + (43*s[84])/2 - 10*s[85]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((227*s[2])/18 - (2041*s[3])/72 - (14539*s[4])/36 - (178069*s[5])/792 - 
       (248807*s[6])/396 - (336044431*s[7])/57024 + (14139055*s[8])/28512 + 
       (12718655*s[9])/2592 + (4368199*s[10])/2592 + (122317949*s[11])/
        19008 + (66142027*s[12])/9504 + (237251573*s[13])/57024 + 
       (14704391*s[14])/19008 + (42453973*s[15])/5184 + 
       (72764221*s[16])/7128 + (462674101*s[17])/57024 + 
       (3534019*s[18])/3888 + (8965195*s[19])/7776 + (504499349*s[20])/
        42768 + (237791729*s[21])/57024 - (526644329*s[22])/171072 - 
       (173911121*s[23])/28512 - (587386045*s[24])/85536 + 
       (2115218063*s[25])/256608 - (573754429*s[26])/128304 - s[27]/2 - 
       (25*s[30])/36 + (101*s[31])/9 - s[32]/72 + (413*s[33])/48 - 
       (607*s[34])/36 + (61*s[35])/4 + (1073*s[36])/108 - (2729*s[37])/216 - 
       (1127*s[38])/6 + (108601*s[39])/144 - (370043*s[40])/432 + 
       (99145*s[41])/144 - (469075*s[42])/432 - (3275065*s[43])/4752 + 
       (7148495*s[44])/9504 - (857749*s[45])/1188 + (28301663*s[46])/4752 - 
       (5343991*s[47])/28512 - (4228525*s[48])/28512 + 
       (91832599*s[49])/28512 - (11254685*s[50])/2376 - 
       (20938307*s[51])/28512 - (15713957*s[52])/28512 + 
       (5792207*s[53])/1782 + (52345*s[54])/594 + (65640695*s[55])/3168 + 
       (48747283*s[56])/9504 - (15918733*s[57])/3564 + 
       (256634233*s[58])/28512 - (267328403*s[59])/28512 - 
       (8597175193*s[60])/171072 + (1903175159*s[61])/769824 + (3*s[62])/8 - 
       (5*s[66])/6 + (5*s[67])/6 + (14*s[68])/3 - s[69] - (5*s[71])/12 - 
       (5*s[72])/3 - (5*s[73])/9 + (13*s[74])/6 - (13*s[75])/6 - 9*s[76] + 
       (47*s[77])/9 + (59*s[78])/18 - (197*s[79])/2 + (1721*s[80])/54 - 
       112*s[82] + (5*s[83])/12 - 14*s[84] - (29*s[85])/3) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((-7*s[2])/9 - (21*s[3])/4 + (39*s[4])/8 - (217*s[5])/88 - 
       (109211*s[6])/3168 - (2700139*s[7])/28512 - (533011*s[8])/85536 + 
       (515977*s[9])/7776 + (188479*s[10])/3888 + (5901113*s[11])/57024 + 
       (5282383*s[12])/57024 + (85009*s[13])/1056 + (657163*s[14])/7128 + 
       (117923*s[15])/864 + (113191*s[16])/594 + (11597437*s[17])/57024 + 
       (144481*s[18])/11664 + (346355*s[19])/11664 + 
       (58845331*s[20])/256608 + (7864963*s[21])/64152 - 
       (10562669*s[22])/256608 + (303257*s[23])/2112 - 
       (83238871*s[24])/513216 + (449176955*s[25])/4618944 - 
       (466524419*s[26])/4618944 + (7*s[30])/9 - (7*s[34])/9 - (28*s[35])/9 - 
       (49*s[36])/27 + (3371*s[37])/216 + (47*s[38])/6 - (1613*s[39])/72 + 
       (4727*s[40])/216 - (989*s[41])/72 + (2035*s[42])/54 - 
       (10037*s[43])/594 - (11881*s[44])/2376 - (64243*s[45])/2376 + 
       (77101*s[46])/792 + (1056833*s[47])/28512 - (2323885*s[48])/28512 + 
       (708707*s[49])/14256 - (245611*s[50])/4752 + (745013*s[51])/14256 + 
       (90845*s[52])/3564 + (70325*s[53])/1584 + (3479*s[54])/1584 + 
       (495701*s[55])/1056 + (293735*s[56])/1782 + (20598293*s[57])/42768 + 
       (2589011*s[58])/128304 - (6096653*s[59])/128304 - 
       (45705703*s[60])/42768 + (23329637*s[61])/288684 - (7*s[74])/18 + 
       (7*s[75])/18 + (56*s[79])/9 - (28*s[80])/27 - (661*s[82])/12 - 
       (28*s[85])/3) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((139*s[2])/72 + (1073*s[3])/144 - 
       (30055*s[4])/288 - (237437*s[5])/3168 - (261235*s[6])/1584 - 
       (77598437*s[7])/57024 + (1573417*s[8])/14256 + (3068035*s[9])/2592 + 
       (703979*s[10])/2592 + (28672009*s[11])/19008 + (3978731*s[12])/2376 + 
       (56816473*s[13])/57024 + (2697595*s[14])/19008 + 
       (9067841*s[15])/5184 + (64055501*s[16])/28512 + 
       (93262691*s[17])/57024 + (604711*s[18])/1944 + (155561*s[19])/1944 + 
       (28485229*s[20])/10692 + (18681485*s[21])/19008 - 
       (125310835*s[22])/171072 - (62970979*s[23])/28512 - 
       (55088551*s[24])/42768 + (989474125*s[25])/513216 - 
       (543909433*s[26])/513216 + (95*s[30])/18 - (7*s[31])/18 + 
       (85*s[32])/72 - (53*s[33])/48 + (31*s[34])/9 + (13*s[35])/2 + 
       (203*s[36])/54 + (259*s[37])/432 - (4735*s[38])/72 + 
       (13427*s[39])/48 - (135043*s[40])/432 + (2318*s[41])/9 - 
       (45443*s[42])/108 - (980513*s[43])/4752 + (4583063*s[44])/19008 - 
       (1931725*s[45])/9504 + (17737805*s[46])/9504 - (6954433*s[47])/57024 + 
       (717011*s[48])/57024 + (54064027*s[49])/57024 - (3356491*s[50])/2376 - 
       (17884853*s[51])/57024 - (13557899*s[52])/57024 + 
       (27403861*s[53])/28512 - (165761*s[54])/1188 + (37364585*s[55])/6336 + 
       (33134047*s[56])/19008 - (80150269*s[57])/28512 + 
       (182931979*s[58])/57024 - (179687723*s[59])/57024 - 
       (4986619903*s[60])/342144 + (300949955*s[61])/384912 + s[62]/4 + 
       (5*s[66])/6 - s[67]/3 + (17*s[68])/6 - 2*s[69] + s[70] + 
       (19*s[71])/24 - (5*s[72])/6 + (31*s[73])/18 + (65*s[74])/24 - 
       (65*s[75])/24 + 3*s[76] + (85*s[77])/36 - (28*s[78])/9 - 
       (65*s[79])/2 + (697*s[80])/216 - 15*s[82] - (19*s[83])/6 - 
       (53*s[84])/2 - (25*s[85])/3) + HPL[{0, 1, 1}, 1 - w]*Omega2[w, u, v]*
      (4*s[2] - (27*s[3])/2 - (303*s[4])/4 - 82*s[5] - (573*s[6])/4 - 
       (36605*s[7])/24 + (1159*s[8])/12 + (7709*s[9])/6 + (3181*s[10])/6 + 
       (12985*s[11])/8 + (6659*s[12])/4 + (22171*s[13])/24 + (3007*s[14])/8 + 
       (55825*s[15])/24 + (33725*s[16])/12 + (58577*s[17])/24 + 
       (779*s[18])/3 + (1325*s[19])/4 + (40091*s[20])/12 + (90821*s[21])/72 - 
       (57365*s[22])/72 - (7415*s[23])/6 - (16900*s[24])/9 + 
       (637195*s[25])/324 - (383269*s[26])/324 + 4*s[31] + 3*s[33] - 
       8*s[34] + (22*s[36])/3 + 15*s[37] - 42*s[38] + 166*s[39] - 
       (556*s[40])/3 + 158*s[41] - (716*s[42])/3 - (4523*s[43])/33 + 
       (22235*s[44])/132 - (3089*s[45])/22 + (79969*s[46])/66 - 
       (14341*s[47])/396 + (2027*s[48])/396 + (294109*s[49])/396 - 
       (34181*s[50])/33 - (59795*s[51])/396 - (41603*s[52])/396 + 
       (142421*s[53])/198 + (4973*s[54])/33 + (200671*s[55])/44 + 
       (360295*s[56])/396 - (426251*s[57])/594 + (6297827*s[58])/3564 - 
       (7101167*s[59])/3564 - (24922957*s[60])/2376 + (3818087*s[61])/8019 + 
       2*s[68] - 2*s[69] + 2*s[70] + s[74] - s[75] - 4*s[76] + 2*s[77] - 
       8*s[79] - 2*s[80] - 76*s[82] - 8*s[85]) + HPL[{0, 1, 1}, 1 - v]*
      Omega2[u, v, w]*(5*s[2] - (17*s[3])/2 - (345*s[4])/4 - (317*s[5])/22 - 
       (643*s[6])/44 - (524021*s[7])/792 + (112003*s[8])/1188 + 
       (28885*s[9])/54 + (6089*s[10])/54 + (591331*s[11])/792 + 
       (347131*s[12])/396 + (426659*s[13])/792 - (178535*s[14])/792 + 
       (66055*s[15])/72 + (432259*s[16])/396 + (184991*s[17])/264 + 
       (10403*s[18])/162 + (54365*s[19])/324 + (3793349*s[20])/3564 + 
       (2138695*s[21])/7128 - (2484179*s[22])/7128 - (253501*s[23])/198 - 
       (634939*s[24])/891 + (8725784*s[25])/8019 - (7568551*s[26])/16038 - 
       2*s[30] - 3*s[33] + 2*s[34] + (22*s[36])/3 + 15*s[37] - 42*s[38] + 
       166*s[39] - (556*s[40])/3 + 158*s[41] - (716*s[42])/3 - 
       (4523*s[43])/33 + (22235*s[44])/132 - (3089*s[45])/22 + 
       (79969*s[46])/66 - (14341*s[47])/396 + (2027*s[48])/396 + 
       (294109*s[49])/396 - (34181*s[50])/33 - (59795*s[51])/396 - 
       (41603*s[52])/396 + (142421*s[53])/198 + (4973*s[54])/33 + 
       (200671*s[55])/44 + (360295*s[56])/396 - (426251*s[57])/594 + 
       (6297827*s[58])/3564 - (7101167*s[59])/3564 - (24922957*s[60])/2376 + 
       (3818087*s[61])/8019 + 2*s[68] - 2*s[69] + 2*s[70] + s[74] - s[75] - 
       4*s[76] + 2*s[77] - 8*s[79] - 2*s[80] - 76*s[82] - 8*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Omega2[u, v, w]*
      ((-2*s[2])/3 - (9*s[3])/2 + (35*s[4])/4 - (749*s[5])/66 - 
       (243*s[6])/44 - (367745*s[7])/2376 + (2183*s[8])/3564 + 
       (10363*s[9])/81 + (7907*s[10])/81 + (352955*s[11])/2376 + 
       (138323*s[12])/1188 + (29773*s[13])/792 + (233153*s[14])/2376 + 
       (20537*s[15])/72 + (3419*s[16])/11 + (834883*s[17])/2376 + 
       (12743*s[18])/972 + (17680*s[19])/243 + (4467205*s[20])/10692 + 
       (3084797*s[21])/21384 - (1665007*s[22])/21384 + (52439*s[23])/396 - 
       (709034*s[24])/2673 + (15223327*s[25])/96228 - (4924331*s[26])/48114 + 
       (2*s[30])/3 - (2*s[34])/3 - (8*s[35])/3 - (14*s[36])/9 + 
       (77*s[37])/9 + 8*s[38] - (145*s[39])/6 + (427*s[40])/18 - 
       (85*s[41])/6 + (701*s[42])/18 + (653*s[43])/198 + (1415*s[44])/396 - 
       (4084*s[45])/99 + (9695*s[46])/66 + (42941*s[47])/1188 - 
       (38701*s[48])/1188 + (8926*s[49])/297 - (16199*s[50])/99 + 
       (14327*s[51])/594 + (46267*s[52])/1188 + (25097*s[53])/198 + 
       (5305*s[54])/66 + (115315*s[55])/132 + (63079*s[56])/594 + 
       (1310321*s[57])/1782 - (86761*s[58])/5346 - (240605*s[59])/5346 - 
       (6034565*s[60])/3564 + (9797653*s[61])/96228 - s[74]/3 + s[75]/3 + 
       (16*s[79])/3 - (8*s[80])/9 - 64*s[82] - 8*s[85]) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((-2*s[2])/3 - (9*s[3])/2 + (47*s[4])/4 - (1813*s[5])/132 - 
       (3263*s[6])/176 - (153781*s[7])/1584 - (27041*s[8])/4752 + 
       (17641*s[9])/216 + (27817*s[10])/432 + (277573*s[11])/3168 + 
       (23251*s[12])/396 + (59669*s[13])/3168 + (380197*s[14])/3168 + 
       (8725*s[15])/48 + (672467*s[16])/3168 + (271787*s[17])/1056 + 
       (17453*s[18])/648 + (30077*s[19])/1296 + (2164147*s[20])/7128 + 
       (3786547*s[21])/28512 - (1307819*s[22])/28512 + (402353*s[23])/3168 - 
       (4355753*s[24])/28512 + (8501855*s[25])/128304 - 
       (10102757*s[26])/128304 - (2*s[33])/3 - (4*s[34])/3 - (8*s[35])/3 - 
       (14*s[36])/9 + (299*s[37])/144 + 6*s[38] - (151*s[39])/6 + 
       (445*s[40])/18 - (115*s[41])/6 + (1501*s[42])/36 + (2393*s[43])/792 - 
       (9169*s[44])/1584 - (6275*s[45])/198 + (24107*s[46])/264 + 
       (134267*s[47])/4752 - (224971*s[48])/4752 - (5135*s[49])/1188 - 
       (16255*s[50])/198 + (38875*s[51])/1188 + (123097*s[52])/4752 + 
       (36097*s[53])/528 + (4751*s[54])/264 + (289457*s[55])/528 + 
       (320905*s[56])/2376 + (3995999*s[57])/7128 - (408073*s[58])/21384 + 
       (187195*s[59])/21384 - (7369333*s[60])/7128 + 
       (34908655*s[61])/384912 - s[74]/3 + s[75]/3 + (16*s[79])/3 - 
       (8*s[80])/9 - (191*s[82])/4 - 8*s[85]) + HPL[{1}, 1 - u]^4*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*((-2*s[2])/3 - (9*s[3])/2 + 
       (35*s[4])/4 - (227*s[5])/22 - (7985*s[6])/528 - (239345*s[7])/2376 - 
       (55141*s[8])/14256 + (6466*s[9])/81 + (82889*s[10])/1296 + 
       (903185*s[11])/9504 + (21335*s[12])/297 + (10233*s[13])/352 + 
       (943493*s[14])/9504 + (3235*s[15])/18 + (655835*s[16])/3168 + 
       (2308297*s[17])/9504 + (22319*s[18])/972 + (116623*s[19])/3888 + 
       (12342361*s[20])/42768 + (10307249*s[21])/85536 - 
       (4028815*s[22])/85536 + (37397*s[23])/352 - (14032663*s[24])/85536 + 
       (16039049*s[25])/192456 - (30397789*s[26])/384912 + (2*s[30])/3 - 
       (2*s[34])/3 - (8*s[35])/3 - (14*s[36])/9 + (299*s[37])/144 + 6*s[38] - 
       (151*s[39])/6 + (445*s[40])/18 - (115*s[41])/6 + (1501*s[42])/36 + 
       (2393*s[43])/792 - (9169*s[44])/1584 - (6275*s[45])/198 + 
       (24107*s[46])/264 + (134267*s[47])/4752 - (224971*s[48])/4752 - 
       (5135*s[49])/1188 - (16255*s[50])/198 + (38875*s[51])/1188 + 
       (123097*s[52])/4752 + (36097*s[53])/528 + (4751*s[54])/264 + 
       (289457*s[55])/528 + (320905*s[56])/2376 + (3995999*s[57])/7128 - 
       (408073*s[58])/21384 + (187195*s[59])/21384 - (7369333*s[60])/7128 + 
       (34908655*s[61])/384912 - s[74]/3 + s[75]/3 + (16*s[79])/3 - 
       (8*s[80])/9 - (191*s[82])/4 - 8*s[85]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - w]*((-2*s[2])/3 - (9*s[3])/2 + 
       (89*s[4])/8 - (1735*s[5])/132 - (3481*s[6])/176 - (283715*s[7])/3168 - 
       (9677*s[8])/1188 + (32513*s[9])/432 + (13385*s[10])/216 + 
       (127217*s[11])/1584 + (4546*s[12])/99 + (22903*s[13])/1584 + 
       (11555*s[14])/99 + (17017*s[15])/96 + (645959*s[16])/3168 + 
       (69059*s[17])/264 + (5695*s[18])/324 + (5119*s[19])/162 + 
       (251033*s[20])/891 + (869929*s[21])/7128 - (590983*s[22])/14256 + 
       (451163*s[23])/3168 - (4442579*s[24])/28512 + (7840727*s[25])/128304 - 
       (580829*s[26])/8019 - (2*s[33])/3 - (4*s[34])/3 - (8*s[35])/3 - 
       (14*s[36])/9 + (65*s[37])/144 + (23*s[38])/4 - (595*s[39])/24 + 
       (1753*s[40])/72 - (445*s[41])/24 + (2975*s[42])/72 - (815*s[43])/396 - 
       (17717*s[44])/3168 - (24461*s[45])/792 + (22955*s[46])/264 + 
       (295705*s[47])/9504 - (485933*s[48])/9504 + (104513*s[49])/9504 - 
       (60955*s[50])/792 + (339989*s[51])/9504 + (267497*s[52])/9504 + 
       (37475*s[53])/528 + (8023*s[54])/264 + (573791*s[55])/1056 + 
       (1084315*s[56])/9504 + (8303371*s[57])/14256 - (3716485*s[58])/85536 + 
       (882655*s[59])/85536 - (58796291*s[60])/57024 + 
       (60622235*s[61])/769824 - s[74]/3 + s[75]/3 + (16*s[79])/3 - 
       (8*s[80])/9 - (173*s[82])/4 - 8*s[85]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - v]*((-2*s[2])/3 - (9*s[3])/2 + 
       (35*s[4])/4 - (889*s[5])/88 - (2579*s[6])/176 - (457819*s[7])/4752 - 
       (70045*s[8])/14256 + (49217*s[9])/648 + (5081*s[10])/81 + 
       (847925*s[11])/9504 + (296297*s[12])/4752 + (22789*s[13])/1056 + 
       (919805*s[14])/9504 + (26225*s[15])/144 + (643715*s[16])/3168 + 
       (2361505*s[17])/9504 + (76613*s[18])/3888 + (63347*s[19])/1944 + 
       (2993905*s[20])/10692 + (10151135*s[21])/85536 - 
       (3812329*s[22])/85536 + (103865*s[23])/1056 - (14010199*s[24])/85536 + 
       (29746135*s[25])/384912 - (29596969*s[26])/384912 + (2*s[30])/3 - 
       (2*s[34])/3 - (8*s[35])/3 - (14*s[36])/9 + (65*s[37])/144 + 
       (23*s[38])/4 - (595*s[39])/24 + (1753*s[40])/72 - (445*s[41])/24 + 
       (2975*s[42])/72 - (815*s[43])/396 - (17717*s[44])/3168 - 
       (24461*s[45])/792 + (22955*s[46])/264 + (295705*s[47])/9504 - 
       (485933*s[48])/9504 + (104513*s[49])/9504 - (60955*s[50])/792 + 
       (339989*s[51])/9504 + (267497*s[52])/9504 + (37475*s[53])/528 + 
       (8023*s[54])/264 + (573791*s[55])/1056 + (1084315*s[56])/9504 + 
       (8303371*s[57])/14256 - (3716485*s[58])/85536 + (882655*s[59])/85536 - 
       (58796291*s[60])/57024 + (60622235*s[61])/769824 - s[74]/3 + s[75]/3 + 
       (16*s[79])/3 - (8*s[80])/9 - (173*s[82])/4 - 8*s[85]) + 
     HPL[{0, 1, 1}, 1 - v]*Omega2[w, u, v]*(-5*s[2] + (5*s[3])/2 + 
       (381*s[4])/4 - (927*s[5])/22 + (1179*s[6])/44 + (241229*s[7])/792 - 
       (89239*s[8])/1188 - (11773*s[9])/54 + (4285*s[10])/54 - 
       (348607*s[11])/792 - (270529*s[12])/396 - (378491*s[13])/792 + 
       (297959*s[14])/792 - (9823*s[15])/72 - (132703*s[16])/396 + 
       (19391*s[17])/88 - (9839*s[18])/162 + (4483*s[19])/324 - 
       (683753*s[20])/3564 + (41297*s[21])/7128 + (1185923*s[22])/7128 + 
       (137906*s[23])/99 + (288125*s[24])/1782 - (11899429*s[25])/16038 + 
       (2197556*s[26])/8019 + 2*s[30] + 3*s[33] - 2*s[34] - (10*s[36])/3 + 
       s[37] + 42*s[38] - 188*s[39] + (670*s[40])/3 - 180*s[41] + 
       (842*s[42])/3 + (439*s[43])/3 - (2149*s[44])/12 + (171*s[45])/2 - 
       (6215*s[46])/6 + (2231*s[47])/36 + (95*s[48])/36 - (25547*s[49])/36 + 
       (2395*s[50])/3 + (6613*s[51])/36 + (5797*s[52])/36 - (8935*s[53])/18 + 
       (11*s[54])/3 - (12765*s[55])/4 - (29657*s[56])/36 + 
       (102553*s[57])/54 - (603589*s[58])/324 + (620401*s[59])/324 + 
       (1810835*s[60])/216 - (280126*s[61])/729 - 2*s[68] + 2*s[69] - 
       2*s[70] - s[74] + s[75] + 4*s[76] - 2*s[77] + 32*s[79] - 14*s[80] - 
       28*s[82] - 8*s[85]) + HPL[{0, 1, 1}, 1 - w]*Omega2[u, v, w]*
      (-4*s[2] + (27*s[3])/2 + (355*s[4])/4 + (744*s[5])/11 + 
       (8127*s[6])/44 + (397159*s[7])/264 - (13649*s[8])/132 - 
       (7493*s[9])/6 - (2815*s[10])/6 - (143311*s[11])/88 - 
       (75639*s[12])/44 - (271193*s[13])/264 - (30117*s[14])/88 - 
       (51721*s[15])/24 - (355579*s[16])/132 - (595039*s[17])/264 - 
       (755*s[18])/3 - (1165*s[19])/4 - (413905*s[20])/132 - 
       (936775*s[21])/792 + (617431*s[22])/792 + (44807*s[23])/33 + 
       (353563*s[24])/198 - (7187843*s[25])/3564 + (4219805*s[26])/3564 - 
       4*s[31] - 3*s[33] + 8*s[34] - (10*s[36])/3 + s[37] + 42*s[38] - 
       188*s[39] + (670*s[40])/3 - 180*s[41] + (842*s[42])/3 + 
       (439*s[43])/3 - (2149*s[44])/12 + (171*s[45])/2 - (6215*s[46])/6 + 
       (2231*s[47])/36 + (95*s[48])/36 - (25547*s[49])/36 + (2395*s[50])/3 + 
       (6613*s[51])/36 + (5797*s[52])/36 - (8935*s[53])/18 + (11*s[54])/3 - 
       (12765*s[55])/4 - (29657*s[56])/36 + (102553*s[57])/54 - 
       (603589*s[58])/324 + (620401*s[59])/324 + (1810835*s[60])/216 - 
       (280126*s[61])/729 - 2*s[68] + 2*s[69] - 2*s[70] - s[74] + s[75] + 
       4*s[76] - 2*s[77] + 32*s[79] - 14*s[80] - 28*s[82] - 8*s[85]) + 
     HPL[{0, 1, 1}, 1 - w]*Omega2[v, w, u]*(4*s[2] - (27*s[3])/2 + 
       (93*s[4])/4 + (498*s[5])/11 + (2317*s[6])/44 + (154261*s[7])/264 - 
       (6431*s[8])/132 - (3179*s[9])/6 - (325*s[10])/6 - (62849*s[11])/88 - 
       (38891*s[12])/44 - (150203*s[13])/264 + (4457*s[14])/88 - 
       (4353*s[15])/8 - (111097*s[16])/132 - (99769*s[17])/264 - 149*s[18] + 
       (91*s[19])/12 - (44889*s[20])/44 - (329821*s[21])/792 + 
       (260317*s[22])/792 + (75883*s[23])/66 + (48467*s[24])/99 - 
       (3308795*s[25])/3564 + (1773269*s[26])/3564 + 4*s[31] - 3*s[33] - 
       8*s[34] - (16*s[36])/3 + 15*s[37] + 54*s[38] - (361*s[39])/2 + 
       (1091*s[40])/6 - (245*s[41])/2 + (1519*s[42])/6 + (5959*s[43])/66 - 
       (7693*s[44])/66 + (755*s[45])/22 - (18941*s[46])/33 + 
       (12973*s[47])/99 - (25501*s[48])/198 - (81941*s[49])/198 + 
       (10931*s[50])/33 + (17297*s[51])/99 + (16880*s[52])/99 - 
       (19309*s[53])/99 + (4453*s[54])/33 - (11626*s[55])/11 - 
       (89387*s[56])/198 + (1643501*s[57])/594 - (1364444*s[58])/891 + 
       (2548465*s[59])/1782 + (2160589*s[60])/594 - (5771255*s[61])/32076 + 
       2*s[68] - 2*s[69] - 2*s[70] - s[74] + s[75] - 4*s[76] + 2*s[77] + 
       4*s[78] + 6*s[80] - 28*s[82] - 8*s[85]) + HPL[{0, 1, 1}, 1 - v]*
      Omega2[v, w, u]*(-5*s[2] + (53*s[3])/2 + (381*s[4])/4 - (285*s[5])/22 + 
       (2027*s[6])/44 + (276401*s[7])/792 - (95155*s[8])/1188 - 
       (12739*s[9])/54 + (3685*s[10])/54 - (373063*s[11])/792 - 
       (271423*s[12])/396 - (349271*s[13])/792 + (245963*s[14])/792 - 
       (19651*s[15])/72 - (185431*s[16])/396 + (2213*s[17])/264 - 
       (12437*s[18])/162 - (2345*s[19])/324 - (1205705*s[20])/3564 - 
       (259315*s[21])/7128 + (1232135*s[22])/7128 + (298075*s[23])/198 + 
       (188602*s[24])/891 - (12580237*s[25])/16038 + (2297930*s[26])/8019 + 
       2*s[30] + 3*s[33] - 2*s[34] - (16*s[36])/3 + 15*s[37] + 54*s[38] - 
       (361*s[39])/2 + (1091*s[40])/6 - (245*s[41])/2 + (1519*s[42])/6 + 
       (5959*s[43])/66 - (7693*s[44])/66 + (755*s[45])/22 - 
       (18941*s[46])/33 + (12973*s[47])/99 - (25501*s[48])/198 - 
       (81941*s[49])/198 + (10931*s[50])/33 + (17297*s[51])/99 + 
       (16880*s[52])/99 - (19309*s[53])/99 + (4453*s[54])/33 - 
       (11626*s[55])/11 - (89387*s[56])/198 + (1643501*s[57])/594 - 
       (1364444*s[58])/891 + (2548465*s[59])/1782 + (2160589*s[60])/594 - 
       (5771255*s[61])/32076 + 2*s[68] - 2*s[69] - 2*s[70] - s[74] + s[75] - 
       4*s[76] + 2*s[77] + 4*s[78] + 6*s[80] - 28*s[82] - 8*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-2*s[2])/3 - (9*s[3])/2 + (35*s[4])/4 - 36*s[5] - (1357*s[6])/24 - 
       (61051*s[7])/216 + (941*s[8])/648 + (158675*s[9])/648 + 
       (18451*s[10])/162 + (119729*s[11])/432 + (104053*s[12])/432 + 
       (1525*s[13])/12 + (46399*s[14])/216 + (10609*s[15])/24 + 
       (9181*s[16])/18 + (224839*s[17])/432 + (257479*s[18])/1944 - 
       (70573*s[19])/1944 + (1413091*s[20])/1944 + (184543*s[21])/486 - 
       (142519*s[22])/972 - (12731*s[23])/48 - (992875*s[24])/3888 + 
       (8324195*s[25])/34992 - (9343517*s[26])/34992 + (2*s[30])/3 - 
       (2*s[34])/3 - (8*s[35])/3 - (14*s[36])/9 + (38*s[37])/9 - 
       (5*s[38])/3 + (25*s[39])/6 - (83*s[40])/18 + (17*s[41])/6 - 
       (85*s[42])/18 - (137*s[43])/18 + (97*s[44])/36 - (440*s[45])/9 + 
       (1627*s[46])/6 + (2231*s[47])/216 - (4297*s[48])/216 + 
       (2083*s[49])/216 - (6703*s[50])/36 + (271*s[51])/216 - 
       (1561*s[52])/108 + (431*s[53])/3 - (431*s[54])/6 + (8599*s[55])/8 + 
       (91085*s[56])/216 - (3442*s[57])/81 + (843811*s[58])/1944 - 
       (758473*s[59])/1944 - (2479453*s[60])/1296 + (962791*s[61])/4374 - 
       s[74]/3 + s[75]/3 + (16*s[79])/3 - (8*s[80])/9 - 20*s[82] - 8*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-83*s[2])/3 - (533*s[3])/12 - (7865*s[4])/24 - (5941*s[5])/12 - 
       (24041*s[6])/24 - (3473141*s[7])/432 + (99169*s[8])/216 + 
       (742343*s[9])/108 + (256231*s[10])/108 + (420901*s[11])/48 + 
       (663805*s[12])/72 + (2405017*s[13])/432 + (30737*s[14])/16 + 
       (4801837*s[15])/432 + (749075*s[16])/54 + (4970879*s[17])/432 + 
       (40382*s[18])/27 + (282313*s[19])/216 + (3617443*s[20])/216 + 
       (8363519*s[21])/1296 - (5459651*s[22])/1296 - (1494379*s[23])/216 - 
       (6019159*s[24])/648 + (62529325*s[25])/5832 - (36925261*s[26])/5832 + 
       2*s[27] - s[28]/2 + 2*s[29] + (8*s[30])/3 - (22*s[31])/3 - 
       (2*s[32])/3 - (19*s[33])/4 + (38*s[34])/3 + 3*s[35] + (20*s[36])/9 - 
       (175*s[37])/9 - (733*s[38])/3 + 854*s[39] - (8360*s[40])/9 + 
       (2113*s[41])/3 - (10516*s[42])/9 - (80770*s[43])/99 + 
       (635645*s[44])/792 - (339511*s[45])/396 + (2632325*s[46])/396 - 
       (602413*s[47])/2376 - (592381*s[48])/2376 + (8654563*s[49])/2376 - 
       (489307*s[50])/99 - (1800989*s[51])/2376 - (1543385*s[52])/2376 + 
       (2043959*s[53])/594 - (25127*s[54])/198 + (1929391*s[55])/88 + 
       (1522165*s[56])/264 - (6887165*s[57])/1188 + (73577419*s[58])/7128 - 
       (74619109*s[59])/7128 - (782634511*s[60])/14256 + 
       (61026305*s[61])/21384 + 2*s[64] + s[66] - 2*s[67] - 6*s[68] - 
       6*s[70] - 2*s[72] - (8*s[73])/3 + s[74]/2 - s[75]/2 + (38*s[77])/3 - 
       (14*s[78])/3 - 14*s[79] + (79*s[80])/9 - 60*s[82] + 2*s[83] - 
       8*s[85]) + HPL[{0, 1}, 1 - v]*M1[v, u, w]*((-9*s[2])/2 + (7*s[3])/3 - 
       (1465*s[4])/24 - (8017*s[5])/132 - (37999*s[6])/264 - 
       (1291387*s[7])/1188 + (230707*s[8])/2376 + (200033*s[9])/216 + 
       (5603*s[10])/27 + (968437*s[11])/792 + (547841*s[12])/396 + 
       (2062765*s[13])/2376 + (32423*s[14])/396 + (286037*s[15])/216 + 
       (2081405*s[16])/1188 + (1463047*s[17])/1188 + (161219*s[18])/648 + 
       (20201*s[19])/324 + (7305461*s[20])/3564 + (106495*s[21])/132 - 
       (2044025*s[22])/3564 - (1948645*s[23])/1188 - (1853323*s[24])/1782 + 
       (66865487*s[25])/42768 - (37887683*s[26])/42768 - s[30]/6 - 
       (11*s[31])/3 + s[32] - (17*s[33])/8 + (37*s[34])/6 - 3*s[35] + 
       (97*s[36])/18 - (211*s[37])/36 - (323*s[38])/6 + (1761*s[39])/8 - 
       (17005*s[40])/72 + (4325*s[41])/24 - (22547*s[42])/72 - 
       (156863*s[43])/792 + (304351*s[44])/1584 - (175385*s[45])/792 + 
       (339631*s[46])/198 - (374303*s[47])/4752 - (141389*s[48])/4752 + 
       (4107869*s[49])/4752 - (124837*s[50])/99 - (895897*s[51])/4752 - 
       (846745*s[52])/4752 + (533201*s[53])/594 - (33937*s[54])/396 + 
       (3001849*s[55])/528 + (2522017*s[56])/1584 - (174995*s[57])/99 + 
       (39434353*s[58])/14256 - (39897373*s[59])/14256 - 
       (390170465*s[60])/28512 + (50035105*s[61])/64152 + s[66] - s[67] - 
       2*s[69] + 2*s[70] - 2*s[72] - (2*s[73])/3 + s[74]/2 - s[75]/2 + 
       3*s[76] - (4*s[77])/3 - (14*s[78])/3 + 2*s[79] - (73*s[80])/18 - 
       6*s[82] + 2*s[83] - 8*s[85]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((-41*s[2])/24 - (1205*s[3])/48 - 
       (26231*s[4])/96 - (125567*s[5])/528 - (582731*s[6])/1056 - 
       (24956813*s[7])/4752 + (2254601*s[8])/7128 + (11567875*s[9])/2592 + 
       (4251551*s[10])/2592 + (27264995*s[11])/4752 + (1803124*s[12])/297 + 
       (11630791*s[13])/3168 + (9253153*s[14])/9504 + (1058785*s[15])/144 + 
       (28914797*s[16])/3168 + (35436211*s[17])/4752 + (6365315*s[18])/7776 + 
       (8465449*s[19])/7776 + (230702233*s[20])/21384 + 
       (334984255*s[21])/85536 - (59207333*s[22])/21384 - 
       (3463547*s[23])/792 - (538875437*s[24])/85536 + 
       (1381256821*s[25])/192456 - (3087371065*s[26])/769824 + (3*s[28])/8 - 
       4*s[29] + (5*s[30])/4 + s[31]/12 + (17*s[32])/12 + (109*s[33])/48 - 
       (11*s[34])/12 + (31*s[35])/12 + (67*s[36])/12 - (95*s[37])/24 - 
       (1435*s[38])/8 + (9305*s[39])/16 - (10537*s[40])/16 + (4289*s[41])/8 - 
       (18727*s[42])/24 - (325493*s[43])/528 + (431675*s[44])/704 - 
       (942725*s[45])/1584 + (1876409*s[46])/396 - (96133*s[47])/2112 - 
       (230939*s[48])/704 + (5994451*s[49])/2112 - (667097*s[50])/176 - 
       (1075277*s[51])/2112 - (283197*s[52])/704 + (6011015*s[53])/2376 + 
       (238441*s[54])/792 + (103440827*s[55])/6336 + (70842089*s[56])/19008 - 
       (72103063*s[57])/28512 + (1164809473*s[58])/171072 - 
       (1231881523*s[59])/171072 - (1571170255*s[60])/38016 + 
       (2796307555*s[61])/1539648 - (9*s[65])/8 - (7*s[66])/6 + 
       (19*s[67])/6 + (31*s[68])/3 - s[69] + (23*s[70])/12 + (47*s[71])/24 + 
       (5*s[72])/6 - (19*s[73])/6 + (13*s[74])/24 - (13*s[75])/24 - 
       (29*s[76])/12 + (10*s[77])/3 + (29*s[78])/6 - (181*s[79])/3 + 
       (263*s[80])/36 - 57*s[82] + (9*s[83])/2 - 25*s[84] - 8*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-25*s[2])/2 + 29*s[3] - (575*s[4])/12 - (1289*s[5])/11 - 
       (5531*s[6])/33 - (1225625*s[7])/792 + (102359*s[8])/891 + 
       (457807*s[9])/324 + (78197*s[10])/324 + (4348727*s[11])/2376 + 
       (5136193*s[12])/2376 + (397357*s[13])/297 + (23332*s[14])/297 + 
       (355363*s[15])/216 + (5610371*s[16])/2376 + (3238823*s[17])/2376 + 
       (208573*s[18])/486 - (9103*s[19])/486 + (31814239*s[20])/10692 + 
       (13065553*s[21])/10692 - (2320691*s[22])/2673 - (778496*s[23])/297 - 
       (14642249*s[24])/10692 + (220584175*s[25])/96228 - 
       (31647217*s[26])/24057 - 10*s[31] + s[32] + (7*s[33])/4 + 
       (43*s[34])/3 + (4*s[35])/3 + (215*s[36])/18 - (367*s[37])/18 - 
       (379*s[38])/3 + (3427*s[39])/8 - (32759*s[40])/72 + (7741*s[41])/24 - 
       (42547*s[42])/72 - (268909*s[43])/792 + (572069*s[44])/1584 - 
       (60877*s[45])/198 + (2056463*s[46])/792 - (849085*s[47])/4752 - 
       (69031*s[48])/4752 + (7427647*s[49])/4752 - (367825*s[50])/198 - 
       (1749959*s[51])/4752 - (1656587*s[52])/4752 + (2965273*s[53])/2376 - 
       (3581*s[54])/99 + (12203269*s[55])/1584 + (3386111*s[56])/1584 - 
       (871247*s[57])/198 + (65585225*s[58])/14256 - (64805927*s[59])/14256 - 
       (583676569*s[60])/28512 + (130527439*s[61])/128304 + s[62]/3 + 
       2*s[66] - 2*s[67] - 2*s[68] - 2*s[69] + 2*s[70] - 2*s[72] + 2*s[73] + 
       (3*s[74])/2 - (3*s[75])/2 + 8*s[76] - 3*s[77] - 11*s[78] - 
       (79*s[80])/9 - 40*s[82] - 12*s[84] - 8*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-49*s[2])/2 + (61*s[3])/2 - 205*s[4] - (11719*s[5])/44 - 
       (5925*s[6])/11 - (921109*s[7])/198 + (104420*s[8])/297 + 
       (109180*s[9])/27 + (54871*s[10])/54 + (2095399*s[11])/396 + 
       (4734469*s[12])/792 + (2953069*s[13])/792 + (335879*s[14])/792 + 
       (103247*s[15])/18 + (5990803*s[16])/792 + (695495*s[17])/132 + 
       (300707*s[18])/324 + (156337*s[19])/324 + (8040409*s[20])/891 + 
       (24390665*s[21])/7128 - (17839597*s[22])/7128 - (2369509*s[23])/396 - 
       (8768689*s[24])/1782 + (433511345*s[25])/64152 - 
       (239910887*s[26])/64152 - 18*s[31] + 3*s[32] + (5*s[33])/4 + 
       23*s[34] + 12*s[35] + (51*s[36])/2 - (235*s[37])/6 - 263*s[38] + 
       (7107*s[39])/8 - (7487*s[40])/8 + (5519*s[41])/8 - (9723*s[42])/8 - 
       (6303*s[43])/8 + (12271*s[44])/16 - (4553*s[45])/6 + 
       (146255*s[46])/24 - (15559*s[47])/48 - (3925*s[48])/48 + 
       (166525*s[49])/48 - (8835*s[50])/2 - (36613*s[51])/48 - 
       (33809*s[52])/48 + (221737*s[53])/72 - (563*s[54])/3 + 
       (929933*s[55])/48 + (746245*s[56])/144 - (200509*s[57])/27 + 
       (13037939*s[58])/1296 - (13201181*s[59])/1296 - (1574435*s[60])/32 + 
       (29313821*s[61])/11664 + 2*s[66] - 2*s[67] - 6*s[68] + 2*s[69] + 
       6*s[70] - 2*s[72] + 2*s[73] + (3*s[74])/2 - (3*s[75])/2 + 16*s[76] - 
       11*s[77] - 19*s[78] + 16*s[79] - (97*s[80])/3 - 16*s[82] - 12*s[84] - 
       8*s[85]) + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]^2*
      ((-9*s[2])/8 - (251*s[3])/48 - (10423*s[4])/96 - (17473*s[5])/264 - 
       (97915*s[6])/528 - (32501641*s[7])/19008 + (77335*s[8])/528 + 
       (413527*s[9])/288 + (1375*s[10])/3 + (5968373*s[11])/3168 + 
       (1455083*s[12])/704 + (23559185*s[13])/19008 + (1223113*s[14])/6336 + 
       (3911215*s[15])/1728 + (27414625*s[16])/9504 + (20974979*s[17])/9504 + 
       (189973*s[18])/648 + (718493*s[19])/2592 + (96514097*s[20])/28512 + 
       (67940033*s[21])/57024 - (5701493*s[22])/6336 - 
       (37118731*s[23])/19008 - (36040879*s[24])/19008 + 
       (1240976291*s[25])/513216 - (665284793*s[26])/513216 - s[30]/6 - 
       s[31]/6 - s[32]/4 + s[33]/2 - s[34]/12 + (9*s[35])/4 + 
       (187*s[36])/72 - (515*s[37])/72 - (160*s[38])/3 + (3541*s[39])/16 - 
       (36365*s[40])/144 + (3147*s[41])/16 - (46165*s[42])/144 - 
       (310177*s[43])/1584 + (1367749*s[44])/6336 - (374557*s[45])/1584 + 
       (1446265*s[46])/792 - (1328345*s[47])/19008 - (648941*s[48])/19008 + 
       (17253851*s[49])/19008 - (2248717*s[50])/1584 - 
       (4353025*s[51])/19008 - (3211345*s[52])/19008 + (2319311*s[53])/2376 - 
       (12865*s[54])/1584 + (39298471*s[55])/6336 + (10314907*s[56])/6336 - 
       (5001175*s[57])/3168 + (161195491*s[58])/57024 - 
       (162506869*s[59])/57024 - (1722909461*s[60])/114048 + 
       (408544163*s[61])/513216 - s[66]/2 + s[67]/2 - s[68]/2 + (3*s[69])/2 - 
       (3*s[70])/2 - s[72]/2 - s[73]/6 + (7*s[74])/8 - (7*s[75])/8 + s[76] + 
       (11*s[77])/12 + (5*s[78])/6 - 30*s[79] + (88*s[80])/9 - 54*s[82] - 
       s[83]/4 - (21*s[84])/2 - 8*s[85]) + HPL[{0, 1}, 1 - w]*M1[v, u, w]*
      ((-8*s[2])/3 + (97*s[3])/12 + (239*s[4])/12 + (13*s[5])/6 + 
       (305*s[6])/12 + (84385*s[7])/432 - (2221*s[8])/108 - 
       (32357*s[9])/216 - (2246*s[10])/27 - (9023*s[11])/48 - 
       (12143*s[12])/72 - (43247*s[13])/432 - (877*s[14])/16 - 
       (152783*s[15])/432 - (41375*s[16])/108 - (172123*s[17])/432 - 
       (1187*s[18])/216 - (16403*s[19])/216 - (88541*s[20])/216 - 
       (170611*s[21])/1296 + (118123*s[22])/1296 + (8777*s[23])/216 + 
       (184391*s[24])/648 - (2855917*s[25])/11664 + (1550989*s[26])/11664 + 
       s[30]/6 - (7*s[31])/3 + s[32]/3 - (21*s[33])/8 + (19*s[34])/6 - 
       4*s[35] + s[36]/18 + (113*s[37])/36 - (41*s[38])/6 + (135*s[39])/8 - 
       (1555*s[40])/72 + (347*s[41])/24 - (1097*s[42])/72 - 
       (28961*s[43])/792 + (53425*s[44])/1584 - (37469*s[45])/792 + 
       (113039*s[46])/396 + (94087*s[47])/4752 - (317291*s[48])/4752 + 
       (870539*s[49])/4752 - (44615*s[50])/198 + (5153*s[51])/4752 + 
       (3977*s[52])/4752 + (87389*s[53])/594 + (26537*s[54])/396 + 
       (509807*s[55])/528 + (39095*s[56])/176 + (17878*s[57])/297 + 
       (4987175*s[58])/14256 - (5144411*s[59])/14256 - 
       (75567875*s[60])/28512 + (320249*s[61])/2376 + s[66] - s[67] - 
       2*s[69] + (4*s[73])/3 + s[76] - s[77]/3 - (8*s[78])/3 + 6*s[79] - 
       (37*s[80])/18 - 36*s[82] - s[83] - 6*s[84] - 8*s[85]) + 
     HPL[{0, 0, 1}, 1 - u]*Omega2[u, v, w]*((9*s[2])/2 - 22*s[3] - 325*s[4] - 
       (2723*s[5])/22 - (8039*s[6])/22 - (949561*s[7])/264 + 
       (482941*s[8])/1188 + (320819*s[9])/108 + (75325*s[10])/108 + 
       (3221173*s[11])/792 + (1863157*s[12])/396 + (2281669*s[13])/792 - 
       (131963*s[14])/792 + (324857*s[15])/72 + (2325611*s[16])/396 + 
       (3152707*s[17])/792 + (202693*s[18])/324 + (162845*s[19])/324 + 
       (11623795*s[20])/1782 + (15765415*s[21])/7128 - 
       (13427069*s[22])/7128 - (2270023*s[23])/396 - (13145773*s[24])/3564 + 
       (43916045*s[25])/8019 - (87953321*s[26])/32076 + 2*s[29] - 2*s[30] - 
       (7*s[32])/2 + (5*s[33])/2 + 2*s[34] + 2*s[35] + 10*s[36] - 
       (59*s[37])/3 - 188*s[38] + (1471*s[39])/2 - (1599*s[40])/2 + 
       (1211*s[41])/2 - (2129*s[42])/2 - (12817*s[43])/22 + 
       (27623*s[44])/44 - (42517*s[45])/66 + (171074*s[46])/33 - 
       (42475*s[47])/132 + (6563*s[48])/132 + (353761*s[49])/132 - 
       (43177*s[50])/11 - (95837*s[51])/132 - (79349*s[52])/132 + 
       (539765*s[53])/198 - (5911*s[54])/33 + (2259193*s[55])/132 + 
       (1802885*s[56])/396 - (3538333*s[57])/594 + (30115867*s[58])/3564 - 
       (30309889*s[59])/3564 - (32945453*s[60])/792 + 
       (71082901*s[61])/32076 - 4*s[72] - 4*s[73] + 3*s[74] - 3*s[75] + 
       4*s[76] - 4*s[78] - 44*s[79] + (26*s[80])/3 - 52*s[82] + 3*s[83] - 
       6*s[84] - 8*s[85]) + HPL[{0, 0, 1}, 1 - u]*Omega2[w, u, v]*
      ((-23*s[2])/2 - 22*s[3] - (553*s[4])/2 - (3378*s[5])/11 - 
       (13753*s[6])/22 - (500551*s[7])/88 + (493129*s[8])/1188 + 
       (522527*s[9])/108 + (168943*s[10])/108 + (4912057*s[11])/792 + 
       (2645617*s[12])/396 + (3124009*s[13])/792 + (782941*s[14])/792 + 
       (552917*s[15])/72 + (3816557*s[16])/396 + (6067687*s[17])/792 + 
       (362641*s[18])/324 + (261557*s[19])/324 + (20712049*s[20])/1782 + 
       (30917779*s[21])/7128 - (21262973*s[22])/7128 - (2429371*s[23])/396 - 
       (22103005*s[24])/3564 + (62018879*s[25])/8019 - 
       (141456665*s[26])/32076 - 2*s[29] - 4*s[31] + s[32]/2 - 2*s[33] + 
       8*s[34] + 2*s[35] + 10*s[36] - (59*s[37])/3 - 188*s[38] + 
       (1471*s[39])/2 - (1599*s[40])/2 + (1211*s[41])/2 - (2129*s[42])/2 - 
       (12817*s[43])/22 + (27623*s[44])/44 - (42517*s[45])/66 + 
       (171074*s[46])/33 - (42475*s[47])/132 + (6563*s[48])/132 + 
       (353761*s[49])/132 - (43177*s[50])/11 - (95837*s[51])/132 - 
       (79349*s[52])/132 + (539765*s[53])/198 - (5911*s[54])/33 + 
       (2259193*s[55])/132 + (1802885*s[56])/396 - (3538333*s[57])/594 + 
       (30115867*s[58])/3564 - (30309889*s[59])/3564 - (32945453*s[60])/792 + 
       (71082901*s[61])/32076 - 4*s[72] - 4*s[73] + 3*s[74] - 3*s[75] + 
       4*s[76] - 4*s[78] - 44*s[79] + (26*s[80])/3 - 52*s[82] + 3*s[83] - 
       6*s[84] - 8*s[85]) + HPL[{0, 1}, 1 - u]*M1[u, v, w]*
      ((5*s[2])/6 - (11*s[3])/12 + (2149*s[4])/24 + (16385*s[5])/264 + 
       (19865*s[6])/132 + (44969*s[7])/33 - (230389*s[8])/2376 - 
       (31195*s[9])/27 - (37373*s[10])/108 - (586789*s[11])/396 - 
       (1273633*s[12])/792 - (770489*s[13])/792 - (36455*s[14])/198 - 
       (130063*s[15])/72 - (1771895*s[16])/792 - (1365515*s[17])/792 - 
       (158635*s[18])/648 - (31919*s[19])/162 - (19064447*s[20])/7128 - 
       (6630905*s[21])/7128 + (5112301*s[22])/7128 + (1239859*s[23])/792 + 
       (5293049*s[24])/3564 - (244995571*s[25])/128304 + 
       (130415437*s[26])/128304 + s[29] - s[30]/3 - (2*s[31])/3 - 
       (5*s[32])/6 - (17*s[33])/6 + (2*s[34])/3 - (4*s[35])/3 - 
       (11*s[36])/3 + (59*s[37])/6 + 56*s[38] - (2329*s[39])/12 + 
       (895*s[40])/4 - (2141*s[41])/12 + (3313*s[42])/12 + (8333*s[43])/44 - 
       (8055*s[44])/44 + (25493*s[45])/132 - (16688*s[46])/11 + 
       (2687*s[47])/66 + (7475*s[48])/132 - (16833*s[49])/22 + 
       (25295*s[50])/22 + (27029*s[51])/132 + (11285*s[52])/66 - 
       (159883*s[53])/198 + (11749*s[54])/66 - (2009885*s[55])/396 - 
       (134314*s[56])/99 + (1352779*s[57])/1188 - (2025935*s[58])/891 + 
       (8250431*s[59])/3564 + (9812993*s[60])/792 - (39360373*s[61])/64152 + 
       2*s[66] - 2*s[67] - 2*s[68] - 2*s[69] - s[71] - (4*s[72])/3 - 
       (2*s[74])/3 + (2*s[75])/3 - (2*s[76])/3 - (20*s[78])/3 + 30*s[79] - 
       (11*s[80])/3 - 90*s[82] + (5*s[83])/2 + 25*s[84] - 8*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((34*s[2])/3 + (13*s[3])/12 + (1987*s[4])/24 + (5327*s[5])/66 + 
       (60067*s[6])/264 + (2625037*s[7])/1584 - (76559*s[8])/2376 - 
       (78691*s[9])/54 - (60625*s[10])/108 - (2677385*s[11])/1584 - 
       (1239443*s[12])/792 - (1568917*s[13])/1584 - (918791*s[14])/1584 - 
       (370487*s[15])/144 - (1179061*s[16])/396 - (500979*s[17])/176 - 
       (19993*s[18])/81 - (172405*s[19])/648 - (25012021*s[20])/7128 - 
       (18523265*s[21])/14256 + (12730669*s[22])/14256 + 
       (1050169*s[23])/792 + (13063205*s[24])/7128 - (129703009*s[25])/
        64152 + (74914915*s[26])/64152 + 3*s[29] + (5*s[30])/3 + 
       (25*s[31])/3 + (8*s[32])/3 - (17*s[33])/6 - (40*s[34])/3 - 
       (7*s[35])/3 - (70*s[36])/3 - 11*s[38] - (305*s[39])/6 + 
       (529*s[40])/6 - (583*s[41])/6 + (865*s[42])/6 - (925*s[43])/66 - 
       (10679*s[44])/264 - (15023*s[45])/132 + (5289*s[46])/44 + 
       (28123*s[47])/792 - (52265*s[48])/792 + (78827*s[49])/792 - 
       (1013*s[50])/33 + (106079*s[51])/792 + (71879*s[52])/792 + 
       (12167*s[53])/198 + (10027*s[54])/66 + (705641*s[55])/792 + 
       (6485*s[56])/792 + (1906415*s[57])/1188 - (1363655*s[58])/7128 + 
       (632909*s[59])/7128 - (10816775*s[60])/4752 + (10579939*s[61])/64152 + 
       2*s[64] + s[66] - 2*s[67] - 6*s[68] + 8*s[69] - 6*s[70] - 2*s[71] + 
       (2*s[72])/3 - 8*s[73] - (25*s[74])/6 + (25*s[75])/6 - (8*s[76])/3 + 
       14*s[77] - (14*s[78])/3 + 78*s[79] - s[80]/3 - 186*s[82] + s[83] + 
       46*s[84] - 8*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u]*((-13*s[2])/3 + (1193*s[3])/12 + 
       (14599*s[4])/24 + (3837*s[5])/44 + (175927*s[6])/264 + 
       (27405937*s[7])/4752 - (4697531*s[8])/7128 - (1498133*s[9])/324 - 
       (384109*s[10])/324 - (31079027*s[11])/4752 - (2254072*s[12])/297 - 
       (22160353*s[13])/4752 + (1504441*s[14])/4752 - (3082847*s[15])/432 - 
       (5629145*s[16])/594 - (10124687*s[17])/1584 - (1004611*s[18])/972 - 
       (1700701*s[19])/1944 - (222121963*s[20])/21384 - 
       (142696097*s[21])/42768 + (126383701*s[22])/42768 + 
       (10878941*s[23])/1188 + (16029058*s[24])/2673 - 
       (1717075009*s[25])/192456 + (839900287*s[26])/192456 + s[28]/3 - 
       3*s[29] - (5*s[30])/3 - 5*s[31] + (23*s[32])/3 - s[33]/2 + 
       (8*s[34])/3 - (5*s[35])/3 - (152*s[36])/9 + (103*s[37])/9 + 
       (709*s[38])/3 - 987*s[39] + (9725*s[40])/9 - (2614*s[41])/3 + 
       (13129*s[42])/9 + (7055*s[43])/9 - (15079*s[44])/18 + 
       (25973*s[45])/36 - (233431*s[46])/36 + (23783*s[47])/54 - 
       (4831*s[48])/54 - (93484*s[49])/27 + (85735*s[50])/18 + 
       (27962*s[51])/27 + (23285*s[52])/27 - (175525*s[53])/54 + 
       (3338*s[54])/9 - (362615*s[55])/18 - (102977*s[56])/18 + 
       (510157*s[57])/54 - (299072*s[58])/27 + (196847*s[59])/18 + 
       (32723473*s[60])/648 - (7806245*s[61])/2916 - 2*s[64] - s[66] + 
       2*s[67] + 8*s[68] + 2*s[69] + 2*s[70] - 2*s[71] + 6*s[72] - 
       (16*s[73])/3 - (15*s[74])/2 + (15*s[75])/2 - 4*s[76] - (26*s[77])/3 + 
       (26*s[78])/3 + 62*s[79] + (11*s[80])/9 - 224*s[82] + s[83] + 
       54*s[84] - 8*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*((-17*s[2])/3 + (31*s[3])/3 + 
       742*s[4] + (20033*s[5])/66 + (19823*s[6])/22 + (21394579*s[7])/2376 - 
       (762121*s[8])/891 - (2457785*s[9])/324 - (163561*s[10])/81 - 
       (23913655*s[11])/2376 - (6752447*s[12])/594 - (5535665*s[13])/792 - 
       (271243*s[14])/2376 - (828101*s[15])/72 - (1953761*s[16])/132 - 
       (24894605*s[17])/2376 - (375217*s[18])/243 - (319829*s[19])/243 - 
       (180451943*s[20])/10692 - (123458821*s[21])/21384 + 
       (102157589*s[22])/21384 + (5012399*s[23])/396 + 
       (100975183*s[24])/10692 - (2563351915*s[25])/192456 + 
       (1309526005*s[26])/192456 + (8*s[30])/3 + (2*s[31])/3 - (8*s[32])/3 + 
       (5*s[33])/4 - (25*s[34])/3 - 22*s[35] - (607*s[36])/18 + 
       (1025*s[37])/18 + 404*s[38] - (37997*s[39])/24 + (126907*s[40])/72 - 
       (11095*s[41])/8 + (166403*s[42])/72 + (91291*s[43])/72 - 
       (198737*s[44])/144 + (43253*s[45])/36 - (756923*s[46])/72 + 
       (274393*s[47])/432 - (34241*s[48])/432 - (2484751*s[49])/432 + 
       (72518*s[50])/9 + (708755*s[51])/432 + (574307*s[52])/432 - 
       (1170763*s[53])/216 + (4195*s[54])/18 - (1625335*s[55])/48 - 
       (1291423*s[56])/144 + (748537*s[57])/54 - (7562951*s[58])/432 + 
       (2532307*s[59])/144 + (219426925*s[60])/2592 - 
       (48449759*s[61])/11664 + (2*s[62])/3 - s[68] + 2*s[69] - 2*s[70] - 
       (5*s[71])/3 + 4*s[72] - (8*s[73])/3 - 10*s[74] + 10*s[75] - 
       (4*s[77])/3 + s[78]/3 + (562*s[79])/3 - (337*s[80])/9 - 130*s[82] + 
       5*s[83] + 78*s[84] - 8*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*(s[2] - (515*s[3])/12 + 
       (15533*s[4])/24 + (52345*s[5])/132 + (264659*s[6])/264 + 
       (1706319*s[7])/176 - (5850649*s[8])/7128 - (670306*s[9])/81 - 
       (776261*s[10])/324 - (51108175*s[11])/4752 - (28368535*s[12])/2376 - 
       (34375807*s[13])/4752 - (4035109*s[14])/4752 - (5420735*s[15])/432 - 
       (38139371*s[16])/2376 - (56191225*s[17])/4752 - (1726175*s[18])/972 - 
       (2561723*s[19])/1944 - (404931965*s[20])/21384 - 
       (292196527*s[21])/42768 + (221219987*s[22])/42768 + 
       (3573683*s[23])/297 + (110429021*s[24])/10692 - 
       (2656067015*s[25])/192456 + (1438252985*s[26])/192456 + s[30]/3 - 
       (2*s[31])/3 - 3*s[32] - (73*s[33])/6 - (17*s[34])/3 - 22*s[35] - 
       (607*s[36])/18 + (1025*s[37])/18 + 404*s[38] - (37997*s[39])/24 + 
       (126907*s[40])/72 - (11095*s[41])/8 + (166403*s[42])/72 + 
       (91291*s[43])/72 - (198737*s[44])/144 + (43253*s[45])/36 - 
       (756923*s[46])/72 + (274393*s[47])/432 - (34241*s[48])/432 - 
       (2484751*s[49])/432 + (72518*s[50])/9 + (708755*s[51])/432 + 
       (574307*s[52])/432 - (1170763*s[53])/216 + (4195*s[54])/18 - 
       (1625335*s[55])/48 - (1291423*s[56])/144 + (748537*s[57])/54 - 
       (7562951*s[58])/432 + (2532307*s[59])/144 + (219426925*s[60])/2592 - 
       (48449759*s[61])/11664 + (2*s[62])/3 - s[68] + 2*s[69] - 2*s[70] - 
       (5*s[71])/3 + 4*s[72] - (8*s[73])/3 - 10*s[74] + 10*s[75] - 
       (4*s[77])/3 + s[78]/3 + (562*s[79])/3 - (337*s[80])/9 - 130*s[82] + 
       5*s[83] + 78*s[84] - 8*s[85]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]*((-79*s[2])/72 - (1789*s[3])/288 - (37057*s[4])/576 - 
       (16393*s[5])/352 - (17095*s[6])/132 - (15285751*s[7])/14256 + 
       (15116489*s[8])/171072 + (6984101*s[9])/7776 + (4435205*s[10])/15552 + 
       (134208779*s[11])/114048 + (146461735*s[12])/114048 + 
       (2440913*s[13])/3168 + (4411175*s[14])/28512 + (136913*s[15])/96 + 
       (34524427*s[16])/19008 + (160924921*s[17])/114048 + 
       (9610625*s[18])/46656 + (7038103*s[19])/46656 + 
       (549564965*s[20])/256608 + (402048061*s[21])/513216 - 
       (143537923*s[22])/256608 - (1749887*s[23])/1408 - 
       (1201733065*s[24])/1026432 + (13792044059*s[25])/9237888 - 
       (7677943703*s[26])/9237888 - s[30]/24 - s[31]/4 + (17*s[32])/72 + 
       (17*s[33])/48 - (23*s[34])/36 - (23*s[35])/36 + (239*s[36])/216 - 
       (1333*s[37])/432 - (253*s[38])/8 + (38689*s[39])/288 - 
       (132191*s[40])/864 + (11369*s[41])/96 - (168685*s[42])/864 - 
       (1150345*s[43])/9504 + (2436905*s[44])/19008 - (1475345*s[45])/9504 + 
       (1828135*s[46])/1584 - (629089*s[47])/14256 - (188303*s[48])/7128 + 
       (966923*s[49])/1782 - (8339239*s[50])/9504 - (3862081*s[51])/28512 - 
       (6208163*s[52])/57024 + (121867*s[53])/198 - (33881*s[54])/792 + 
       (37338803*s[55])/9504 + (7726171*s[56])/7128 - 
       (21084133*s[57])/21384 + (462539735*s[58])/256608 - 
       (115657193*s[59])/64152 - (1607551307*s[60])/171072 + 
       (1230786779*s[61])/2309472 - s[68]/4 + s[69]/4 + (5*s[70])/18 - 
       s[72]/2 + (29*s[74])/72 - (29*s[75])/72 + (2*s[76])/3 - (4*s[77])/9 - 
       s[78]/3 - (116*s[79])/9 + (989*s[80])/216 - (697*s[82])/24 - 
       (13*s[84])/2 - (23*s[85])/3) + HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]^3*
      ((-5*s[2])/4 - (263*s[3])/96 - (3645*s[4])/64 - (57289*s[5])/1056 - 
       (516379*s[6])/4224 - (6940205*s[7])/6336 + (9575477*s[8])/114048 + 
       (9608809*s[9])/10368 + (1593637*s[10])/5184 + (90387953*s[11])/76032 + 
       (97129783*s[12])/76032 + (28724761*s[13])/38016 + 
       (925013*s[14])/4752 + (1288073*s[15])/864 + (555839*s[16])/297 + 
       (114044699*s[17])/76032 + (6346427*s[18])/31104 + 
       (5160205*s[19])/31104 + (765044545*s[20])/342144 + 
       (280857655*s[21])/342144 - (196439015*s[22])/342144 - 
       (87518605*s[23])/76032 - (832834873*s[24])/684288 + 
       (9171375161*s[25])/6158592 - (5170430723*s[26])/6158592 + s[30]/24 - 
       s[31]/4 + (7*s[32])/48 + (29*s[33])/96 - (7*s[34])/24 - s[35]/3 + 
       (71*s[36])/48 - (253*s[37])/72 - (707*s[38])/24 + (24145*s[39])/192 - 
       (9167*s[40])/64 + (21251*s[41])/192 - (11713*s[42])/64 - 
       (79429*s[43])/704 + (63637*s[44])/528 - (461359*s[45])/3168 + 
       (6892049*s[46])/6336 - (524831*s[47])/12672 - (250997*s[48])/12672 + 
       (6505199*s[49])/12672 - (1765543*s[50])/2112 - (1587263*s[51])/12672 - 
       (631787*s[52])/6336 + (11223337*s[53])/19008 - (55225*s[54])/1584 + 
       (47794213*s[55])/12672 + (38396095*s[56])/38016 - 
       (46710203*s[57])/57024 + (568820315*s[58])/342144 - 
       (576279821*s[59])/342144 - (678324421*s[60])/76032 + 
       (762684523*s[61])/1539648 - s[68]/4 + s[69]/4 + s[70]/4 - s[71]/16 - 
       s[72]/2 + (11*s[74])/24 - (11*s[75])/24 + s[76]/2 - s[77]/3 - 
       (5*s[78])/12 - (167*s[79])/12 + (47*s[80])/9 - (67*s[82])/2 - 
       6*s[84] - 7*s[85]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((35*s[2])/8 - (113*s[3])/48 + (12679*s[4])/96 + 
       (38277*s[5])/352 + (129785*s[6])/528 + (14295451*s[7])/6336 - 
       (2694535*s[8])/14256 - (4931341*s[9])/2592 - (1525331*s[10])/2592 - 
       (47729273*s[11])/19008 - (26277293*s[12])/9504 - 
       (32071313*s[13])/19008 - (4261133*s[14])/19008 - 
       (5143657*s[15])/1728 - (36166651*s[16])/9504 - 
       (54862241*s[17])/19008 - (770999*s[18])/1944 - (1412507*s[19])/3888 - 
       (189469745*s[20])/42768 - (280866455*s[21])/171072 + 
       (203338501*s[22])/171072 + (12322153*s[23])/4752 + 
       (214753655*s[24])/85536 - (4924412885*s[25])/1539648 + 
       (2715505373*s[26])/1539648 - (2*s[30])/3 + (3*s[31])/2 + (7*s[32])/8 - 
       (73*s[33])/48 - 2*s[34] - s[35]/3 - (449*s[36])/36 + (177*s[37])/16 + 
       (2621*s[38])/24 - (5977*s[39])/16 + (57401*s[40])/144 - 
       (1781*s[41])/6 + (18559*s[42])/36 + (518755*s[43])/1584 - 
       (2037091*s[44])/6336 + (341291*s[45])/1056 - (8239349*s[46])/3168 + 
       (2498069*s[47])/19008 + (191897*s[48])/19008 - 
       (28166903*s[49])/19008 + (391145*s[50])/198 + (6126073*s[51])/19008 + 
       (5669359*s[52])/19008 - (12985369*s[53])/9504 - (31115*s[54])/792 - 
       (54504751*s[55])/6336 - (40404257*s[56])/19008 + 
       (76905667*s[57])/28512 - (706149655*s[58])/171072 + 
       (732842791*s[59])/171072 + (2444324411*s[60])/114048 - 
       (49799741*s[61])/48114 - (5*s[66])/6 + (4*s[67])/3 - s[68]/3 + 
       (3*s[69])/2 + (11*s[70])/6 + s[71]/24 + (13*s[72])/6 - s[73]/6 - 
       (19*s[74])/24 + (19*s[75])/24 - (17*s[76])/6 - (7*s[77])/4 + 
       (23*s[78])/6 + (77*s[79])/6 + (49*s[80])/24 - 66*s[82] - 
       (11*s[83])/4 - 5*s[84] - 7*s[85]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*((-53*s[2])/36 - (655*s[3])/144 - 
       (13489*s[4])/96 - (13067*s[5])/176 - (57503*s[6])/264 - 
       (6462487*s[7])/3168 + (5109947*s[8])/28512 + (1111735*s[9])/648 + 
       (1365971*s[10])/2592 + (43024097*s[11])/19008 + 
       (47604679*s[12])/19008 + (14287819*s[13])/9504 + 
       (1501279*s[14])/9504 + (2318453*s[15])/864 + (32640937*s[16])/9504 + 
       (48877979*s[17])/19008 + (2789321*s[18])/7776 + (2486629*s[19])/7776 + 
       (170794505*s[20])/42768 + (7550095*s[21])/5346 - 
       (92092727*s[22])/85536 - (48199231*s[23])/19008 - 
       (380863909*s[24])/171072 + (4500391523*s[25])/1539648 - 
       (2404277915*s[26])/1539648 - (7*s[30])/36 - s[31]/2 + (5*s[32])/36 + 
       (59*s[33])/72 + (5*s[34])/9 + (11*s[35])/3 + (275*s[36])/54 - 
       (197*s[37])/54 - (2573*s[38])/36 + (7105*s[39])/24 - 
       (71777*s[40])/216 + (1559*s[41])/6 - (46571*s[42])/108 - 
       (594445*s[43])/2376 + (1309445*s[44])/4752 - (650879*s[45])/2376 + 
       (877693*s[46])/396 - (3024701*s[47])/28512 - (326291*s[48])/28512 + 
       (33032147*s[49])/28512 - (8146565*s[50])/4752 - 
       (8624509*s[51])/28512 - (3253793*s[52])/14256 + (2780743*s[53])/2376 + 
       (4955*s[54])/396 + (69856079*s[55])/9504 + (54380125*s[56])/28512 - 
       (50756479*s[57])/21384 + (909703067*s[58])/256608 - 
       (918375701*s[59])/256608 - (3105586505*s[60])/171072 + 
       (133874099*s[61])/144342 - s[68]/2 + s[69]/2 - (7*s[70])/9 - s[72] + 
       (17*s[74])/12 - (17*s[75])/12 + s[76] + (4*s[77])/9 - (2*s[78])/3 - 
       (302*s[79])/9 + (515*s[80])/54 - (147*s[82])/4 - 12*s[84] - 
       (20*s[85])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*
      ((5*s[2])/72 + s[3]/3 + (20081*s[4])/144 + (190427*s[5])/3168 + 
       (2318209*s[6])/12672 + (686599*s[7])/396 - (19562783*s[8])/114048 - 
       (15082621*s[9])/10368 - (987323*s[10])/2592 - (146724779*s[11])/
        76032 - (165836677*s[12])/76032 - (50477689*s[13])/38016 - 
       (408115*s[14])/9504 - (424819*s[15])/192 - (27032449*s[16])/9504 - 
       (153790481*s[17])/76032 - (9841187*s[18])/31104 - 
       (6986785*s[19])/31104 - (1117737997*s[20])/342144 - 
       (388324345*s[21])/342144 + (312811637*s[22])/342144 + 
       (188975299*s[23])/76032 + (1216881967*s[24])/684288 - 
       (15656661851*s[25])/6158592 + (8135724281*s[26])/6158592 + s[30]/3 + 
       s[31]/2 - s[32]/3 - (95*s[33])/144 - (41*s[34])/18 - (139*s[35])/36 - 
       (1243*s[36])/216 + (35*s[37])/3 + (10643*s[38])/144 - 
       (28837*s[39])/96 + (285217*s[40])/864 - (74435*s[41])/288 + 
       (382223*s[42])/864 + (2143307*s[43])/9504 - (1188553*s[44])/4752 + 
       (2165101*s[45])/9504 - (43603*s[46])/22 + (15755953*s[47])/114048 - 
       (6592439*s[48])/114048 - (116607085*s[49])/114048 + 
       (28485505*s[50])/19008 + (35664623*s[51])/114048 + 
       (1844633*s[52])/7128 - (1080319*s[53])/1056 + (56393*s[54])/528 - 
       (80843641*s[55])/12672 - (197820695*s[56])/114048 + 
       (115946233*s[57])/42768 - (3429563977*s[58])/1026432 + 
       (3426312943*s[59])/1026432 + (10701213283*s[60])/684288 - 
       (1867509577*s[61])/2309472 - s[71]/4 + (7*s[72])/6 - s[73]/6 - 
       (73*s[74])/36 + (73*s[75])/36 - (13*s[76])/12 - s[77]/4 + 
       (5*s[78])/6 + (581*s[79])/18 - (1261*s[80])/216 - (1241*s[82])/24 + 
       (25*s[84])/2 - (20*s[85])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^3*((35*s[2])/72 - (329*s[3])/48 + (3785*s[4])/32 + 
       (63137*s[5])/792 + (2302679*s[6])/12672 + (203521567*s[7])/114048 - 
       (52229717*s[8])/342144 - (47498827*s[9])/31104 - 
       (6619615*s[10])/15552 - (449158901*s[11])/228096 - 
       (498008629*s[12])/228096 - (926537*s[13])/704 - 
       (16594075*s[14])/114048 - (2663663*s[15])/1152 - 
       (3491465*s[16])/1188 - (495264463*s[17])/228096 - 
       (31616003*s[18])/93312 - (20860807*s[19])/93312 - 
       (3570556219*s[20])/1026432 - (10088477*s[21])/8019 + 
       (60915707*s[22])/64152 + (58765739*s[23])/25344 + 
       (3795990427*s[24])/2052864 - (46729848635*s[25])/18475776 + 
       (25312787801*s[26])/18475776 + (5*s[30])/9 + (2*s[31])/3 - 
       (5*s[32])/12 + s[33]/24 - (131*s[34])/36 - (139*s[35])/36 - 
       (1243*s[36])/216 + (34*s[37])/3 + (10637*s[38])/144 - 
       (28637*s[39])/96 + (283417*s[40])/864 - (73823*s[41])/288 + 
       (379055*s[42])/864 + (2124695*s[43])/9504 - (2378393*s[44])/9504 + 
       (2162329*s[45])/9504 - (43405*s[46])/22 + (15508651*s[47])/114048 - 
       (6704309*s[48])/114048 - (116388295*s[49])/114048 + 
       (28478575*s[50])/19008 + (35528597*s[51])/114048 + 
       (7260821*s[52])/28512 - (3239527*s[53])/3168 + (16583*s[54])/176 - 
       (80734939*s[55])/12672 - (195292037*s[56])/114048 + 
       (113816149*s[57])/42768 - (3399553315*s[58])/1026432 + 
       (3403127341*s[59])/1026432 + (10685879569*s[60])/684288 - 
       (1852076269*s[61])/2309472 - s[71]/4 + (7*s[72])/6 - s[73]/6 - 
       (73*s[74])/36 + (73*s[75])/36 - (13*s[76])/12 - s[77]/4 + 
       (5*s[78])/6 + (581*s[79])/18 - (1261*s[80])/216 - (1181*s[82])/24 + 
       (25*s[84])/2 - (20*s[85])/3) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^4*
      (-s[2]/2 - (35*s[3])/16 - (167*s[4])/32 - (2413*s[5])/176 - 
       (34709*s[6])/1408 - (3032501*s[7])/12672 + (456151*s[8])/38016 + 
       (706817*s[9])/3456 + (156923*s[10])/1728 + (6342271*s[11])/25344 + 
       (6308447*s[12])/25344 + (146413*s[13])/1056 + (1066613*s[14])/12672 + 
       (140023*s[15])/384 + (306213*s[16])/704 + (10013897*s[17])/25344 + 
       (413191*s[18])/10368 + (540983*s[19])/10368 + 
       (61936883*s[20])/114048 + (2892781*s[21])/14256 - 
       (3551785*s[22])/28512 - (945199*s[23])/8448 - 
       (68666009*s[24])/228096 + (605126821*s[25])/2052864 - 
       (372247591*s[26])/2052864 - s[32]/8 - s[33]/8 - s[34]/2 + s[35]/4 + 
       s[36]/6 + (47*s[37])/48 - (11*s[38])/4 + (159*s[39])/16 - 
       (665*s[40])/48 + (197*s[41])/16 - (133*s[42])/12 - (12667*s[43])/528 + 
       (45343*s[44])/2112 - (5759*s[45])/132 + (44357*s[46])/176 + 
       (140081*s[47])/12672 - (448639*s[48])/12672 + (1460185*s[49])/12672 - 
       (449761*s[50])/2112 - (77159*s[51])/12672 + (767*s[52])/6336 + 
       (161605*s[53])/1056 + (10705*s[54])/352 + (4336153*s[55])/4224 + 
       (2872007*s[56])/12672 + (2318335*s[57])/9504 + 
       (30114913*s[58])/114048 - (33467971*s[59])/114048 - 
       (179373295*s[60])/76032 + (31682947*s[61])/256608 - s[70]/2 - 
       s[74]/8 + s[75]/8 + s[77]/2 - s[79] + (5*s[80])/12 - (261*s[82])/8 - 
       6*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - u]*((-13*s[2])/6 - (137*s[3])/24 - (303*s[4])/16 + 
       (4999*s[5])/66 + (12241*s[6])/176 + (1689293*s[7])/3168 - 
       (115193*s[8])/14256 - (672067*s[9])/1296 - (169145*s[10])/1296 - 
       (5303423*s[11])/9504 - (5431291*s[12])/9504 - (1588357*s[13])/4752 - 
       (1390513*s[14])/4752 - (584443*s[15])/864 - (1949075*s[16])/2376 - 
       (3276301*s[17])/4752 - (1453903*s[18])/7776 + (352363*s[19])/7776 - 
       (26995523*s[20])/21384 - (48605621*s[21])/85536 + 
       (3121901*s[22])/10692 + (4171873*s[23])/9504 + 
       (20177585*s[24])/42768 - (114655565*s[25])/192456 + 
       (354854339*s[26])/769824 + (7*s[30])/6 - (2*s[32])/3 + s[33]/6 - 
       (7*s[34])/6 - (7*s[36])/6 + (199*s[37])/8 + 10*s[38] - 
       (1093*s[39])/24 + (391*s[40])/8 - (23*s[41])/8 + (305*s[42])/4 - 
       (155*s[43])/6 + (15*s[44])/16 - (779*s[45])/12 + (1831*s[46])/6 + 
       (12449*s[47])/144 - (18019*s[48])/144 + (57599*s[49])/288 - 
       (1184*s[50])/3 + (19771*s[51])/288 + (13435*s[52])/144 + 
       (13091*s[53])/48 + (5753*s[54])/16 + (268031*s[55])/144 + 
       (32143*s[56])/288 + (748855*s[57])/432 - (324793*s[58])/2592 - 
       (178073*s[59])/2592 - (6793559*s[60])/1728 + (1487959*s[61])/11664 + 
       2*s[68] - 2*s[69] - 4*s[70] + (2*s[71])/3 - s[74]/4 + s[75]/4 - 
       2*s[76] + (14*s[77])/3 + (4*s[78])/3 + (44*s[79])/3 - (41*s[80])/3 - 
       29*s[82] - 6*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*((119*s[2])/72 - 
       (1825*s[3])/144 - (79001*s[4])/288 - (122401*s[5])/792 - 
       (1240967*s[6])/3168 - (73416647*s[7])/19008 + (30415381*s[8])/85536 + 
       (12606403*s[9])/3888 + (3806195*s[10])/3888 + (242000017*s[11])/
        57024 + (132614587*s[12])/28512 + (161888059*s[13])/57024 + 
       (12785023*s[14])/57024 + (26955983*s[15])/5184 + 
       (185725979*s[16])/28512 + (284145451*s[17])/57024 + 
       (13983679*s[18])/23328 + (501682*s[19])/729 + (949397341*s[20])/
        128304 + (1313919769*s[21])/513216 - (1042947017*s[22])/513216 - 
       (133490683*s[23])/28512 - (1098244657*s[24])/256608 + 
       (6442420669*s[25])/1154736 - (1677670289*s[26])/577368 - 
       (25*s[30])/18 - (11*s[31])/18 + s[32]/12 - (23*s[33])/12 + 
       (119*s[34])/36 + (19*s[35])/9 + (545*s[36])/27 - (57*s[37])/16 - 
       (967*s[38])/8 + (26537*s[39])/48 - (269741*s[40])/432 + 
       (12059*s[41])/24 - (176597*s[42])/216 - (205805*s[43])/432 + 
       (912221*s[44])/1728 - (166601*s[45])/288 + (3892087*s[46])/864 - 
       (892363*s[47])/5184 - (94327*s[48])/5184 + (11676265*s[49])/5184 - 
       (383831*s[50])/108 - (2929847*s[51])/5184 - (2208209*s[52])/5184 + 
       (6442745*s[53])/2592 + (2755*s[54])/216 + (9044447*s[55])/576 + 
       (20466079*s[56])/5184 - (28161425*s[57])/7776 + 
       (321970613*s[58])/46656 - (331842389*s[59])/46656 - 
       (1152414661*s[60])/31104 + (51592223*s[61])/26244 - s[62]/8 + 
       s[66]/6 - s[67]/6 + (7*s[68])/6 - (3*s[69])/2 + (5*s[70])/2 - 
       (7*s[71])/8 - (11*s[72])/6 - (47*s[73])/18 + (205*s[74])/72 - 
       (205*s[75])/72 - s[76]/3 - (23*s[77])/36 - (35*s[78])/18 - 
       (398*s[79])/9 + (655*s[80])/72 - (365*s[82])/3 - (11*s[83])/12 - 
       (41*s[84])/2 - 6*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - v]*((5*s[2])/4 + (77*s[3])/24 + (925*s[4])/48 + 
       (139679*s[5])/1584 + (713279*s[6])/6336 + (1546583*s[7])/1584 - 
       (2543845*s[8])/57024 - (4428803*s[9])/5184 - (23389*s[10])/81 - 
       (38882641*s[11])/38016 - (39401495*s[12])/38016 - 
       (11489639*s[13])/19008 - (1626479*s[14])/4752 - (1207319*s[15])/864 - 
       (7981619*s[16])/4752 - (56709979*s[17])/38016 - 
       (3143689*s[18])/15552 - (2057531*s[19])/15552 - 
       (364947851*s[20])/171072 - (143219795*s[21])/171072 + 
       (86792707*s[22])/171072 + (28040873*s[23])/38016 + 
       (370720589*s[24])/342144 - (3734804041*s[25])/3079296 + 
       (2322346219*s[26])/3079296 + (7*s[30])/6 + (2*s[31])/3 - (2*s[32])/3 + 
       (11*s[33])/4 - (7*s[34])/6 + (16*s[35])/3 + (17*s[36])/9 + 
       (95*s[37])/9 + (2521*s[38])/72 - (3679*s[39])/36 + (3713*s[40])/36 - 
       (409*s[41])/6 + (9863*s[42])/72 + (32405*s[43])/396 - 
       (20423*s[44])/264 + (98233*s[45])/792 - (657839*s[46])/792 + 
       (1027901*s[47])/19008 - (614839*s[48])/19008 - (6415493*s[49])/19008 + 
       (1877629*s[50])/3168 + (1659187*s[51])/19008 + (523759*s[52])/4752 - 
       (2144215*s[53])/4752 + (9329*s[54])/66 - (18618491*s[55])/6336 - 
       (5122285*s[56])/6336 + (2307763*s[57])/4752 - (23547169*s[58])/19008 + 
       (8043217*s[59])/6336 + (740210639*s[60])/114048 - 
       (99314951*s[61])/256608 + s[68]/2 - s[69]/2 - (7*s[70])/6 - s[71]/2 + 
       (4*s[72])/3 - (11*s[74])/12 + (11*s[75])/12 - (4*s[76])/3 + 
       (3*s[77])/2 + (4*s[78])/3 + (43*s[80])/9 - (371*s[82])/12 - s[83] + 
       6*s[84] - 6*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - w]*(s[2] + (71*s[3])/24 + (2299*s[4])/48 + 
       (27571*s[5])/1584 + (167329*s[6])/6336 + (9412615*s[7])/19008 - 
       (3495329*s[8])/57024 - (2021935*s[9])/5184 - (178981*s[10])/2592 - 
       (21034373*s[11])/38016 - (25068829*s[12])/38016 - 
       (1185947*s[13])/3168 + (1660433*s[14])/19008 - (1075699*s[15])/1728 - 
       (389237*s[16])/528 - (17751967*s[17])/38016 - (1448183*s[18])/15552 - 
       (1079815*s[19])/15552 - (146327839*s[20])/171072 - 
       (10822729*s[21])/42768 + (10658399*s[22])/42768 + 
       (4033643*s[23])/4224 + (167914963*s[24])/342144 - 
       (2387579111*s[25])/3079296 + (1098103949*s[26])/3079296 - 
       (7*s[30])/3 + (5*s[31])/3 - s[32]/6 - (5*s[33])/12 - (13*s[34])/3 + 
       (16*s[35])/3 + (17*s[36])/9 + (85*s[37])/9 + (279*s[38])/8 - 
       (381*s[39])/4 + (3463*s[40])/36 - (733*s[41])/12 + (8983*s[42])/72 + 
       (2485*s[43])/33 - (123253*s[44])/1584 + (97463*s[45])/792 - 
       (634079*s[46])/792 + (296837*s[47])/6336 - (75221*s[48])/2112 - 
       (233109*s[49])/704 + (624593*s[50])/1056 + (1583617*s[51])/19008 + 
       (38197*s[52])/396 - (712355*s[53])/1584 + (9841*s[54])/99 - 
       (18437321*s[55])/6336 - (4654015*s[56])/6336 + (506281*s[57])/1584 - 
       (7231553*s[58])/6336 + (840683*s[59])/704 + (81299101*s[60])/12672 - 
       (10399879*s[61])/28512 + s[68]/2 - s[69]/2 - (7*s[70])/6 - s[71]/2 + 
       (4*s[72])/3 - (11*s[74])/12 + (11*s[75])/12 - (4*s[76])/3 + 
       (3*s[77])/2 + (4*s[78])/3 + (43*s[80])/9 - (271*s[82])/12 - s[83] + 
       6*s[84] - 6*s[85]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*((-113*s[2])/48 + (287*s[3])/96 - (21191*s[4])/192 - 
       (308311*s[5])/3168 - (1348543*s[6])/6336 - (226862395*s[7])/114048 + 
       (961931*s[8])/6336 + (183499*s[9])/108 + (12673*s[10])/24 + 
       (82915963*s[11])/38016 + (3764297*s[12])/1584 + 
       (162103697*s[13])/114048 + (10951927*s[14])/38016 + 
       (27298849*s[15])/10368 + (190376143*s[16])/57024 + 
       (293468047*s[17])/114048 + (5924617*s[18])/15552 + 
       (2110951*s[19])/7776 + (171173075*s[20])/42768 + 
       (503533361*s[21])/342144 - (13351607*s[22])/12672 - 
       (16064065*s[23])/7128 - (61185763*s[24])/28512 + 
       (4232722393*s[25])/1539648 - (2360744605*s[26])/1539648 - s[30]/8 - 
       s[31] + (5*s[32])/8 - (109*s[33])/288 + (79*s[34])/36 + (3*s[35])/2 + 
       (1067*s[36])/216 - (1249*s[37])/216 - (881*s[38])/12 + 
       (27601*s[39])/96 - (277145*s[40])/864 + (24173*s[41])/96 - 
       (356491*s[42])/864 - (2382955*s[43])/9504 + (10105519*s[44])/38016 - 
       (2682373*s[45])/9504 + (10608181*s[46])/4752 - 
       (10896953*s[47])/114048 - (3308141*s[48])/114048 + 
       (130046447*s[49])/114048 - (8161277*s[50])/4752 - 
       (32536453*s[51])/114048 - (26428387*s[52])/114048 + 
       (4209149*s[53])/3564 - (413263*s[54])/9504 + (95033749*s[55])/12672 + 
       (74931247*s[56])/38016 - (39161245*s[57])/19008 + 
       (1195729627*s[58])/342144 - (1208996677*s[59])/342144 - 
       (12495655145*s[60])/684288 + (2945356025*s[61])/3079296 + s[66]/4 - 
       s[67]/4 + s[68]/4 - (3*s[69])/4 + s[70]/4 + s[71]/4 - (5*s[72])/4 + 
       s[73]/4 + (215*s[74])/144 - (215*s[75])/144 + (19*s[76])/18 + 
       s[77]/8 - (5*s[78])/4 - (53*s[79])/2 + (509*s[80])/108 - 
       (15*s[82])/2 - (73*s[84])/6 - 5*s[85]) + HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - u]^2*((-11*s[2])/8 - (35*s[3])/4 - (1707*s[4])/16 - 
       (6763*s[5])/66 - (77853*s[6])/352 - (1417643*s[7])/704 + 
       (30313*s[8])/198 + (15361*s[9])/9 + (162073*s[10])/288 + 
       (386029*s[11])/176 + (4992527*s[12])/2112 + (978165*s[13])/704 + 
       (725503*s[14])/2112 + (528391*s[15])/192 + (1215661*s[16])/352 + 
       (482533*s[17])/176 + (170501*s[18])/432 + (251417*s[19])/864 + 
       (9828281*s[20])/2376 + (29545777*s[21])/19008 - 
       (20083175*s[22])/19008 - (4631773*s[23])/2112 - 
       (42119129*s[24])/19008 + (467607691*s[25])/171072 - 
       (269160535*s[26])/171072 + s[27]/24 + s[31]/4 + (7*s[32])/8 + 
       (9*s[33])/16 - s[34]/3 + s[35]/2 + (145*s[36])/24 + (19*s[37])/24 - 
       (1523*s[38])/24 + (24229*s[39])/96 - (26345*s[40])/96 + 
       (20743*s[41])/96 - (11629*s[42])/32 - (215719*s[43])/1056 + 
       (77997*s[44])/352 - (64337*s[45])/264 + (671079*s[46])/352 - 
       (8583*s[47])/88 + (4111*s[48])/1056 + (504151*s[49])/528 - 
       (255797*s[50])/176 - (264199*s[51])/1056 - (17907*s[52])/88 + 
       (3222239*s[53])/3168 - (5987*s[54])/264 + (6814463*s[55])/1056 + 
       (2709359*s[56])/1584 - (18872551*s[57])/9504 + 
       (87732929*s[58])/28512 - (88930271*s[59])/28512 - 
       (8113717*s[60])/528 + (13538081*s[61])/16038 + s[66]/2 - s[67]/2 - 
       s[69] + s[70] + (3*s[71])/8 - s[72] - 2*s[73] + (5*s[74])/4 - 
       (5*s[75])/4 - (3*s[76])/4 - s[77]/2 - 2*s[78] - (21*s[79])/2 - 
       (7*s[80])/6 - (75*s[82])/2 + (3*s[83])/4 - 3*s[84] - 5*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      ((-7*s[2])/18 - (47*s[3])/72 + (505*s[4])/72 + (4795*s[5])/1584 + 
       (1027*s[6])/132 + (2415779*s[7])/114048 - (1522115*s[8])/171072 - 
       (292549*s[9])/15552 + (323095*s[10])/15552 - (2603759*s[11])/114048 - 
       (2039459*s[12])/57024 - (1006123*s[13])/38016 + 
       (2356909*s[14])/114048 - (5419*s[15])/384 - (8267*s[16])/792 + 
       (2232383*s[17])/114048 - (64313*s[18])/2916 + (1422383*s[19])/46656 - 
       (3139333*s[20])/513216 - (19865327*s[21])/1026432 + 
       (10401583*s[22])/1026432 + (3710491*s[23])/19008 - 
       (9008885*s[24])/256608 - (41071339*s[25])/1154736 + 
       (68498057*s[26])/2309472 + s[30]/4 - (5*s[32])/18 - (91*s[33])/144 + 
       s[34]/12 + (2*s[35])/9 - (20*s[36])/27 + (155*s[37])/216 + 
       (293*s[38])/72 - (125*s[39])/6 + (1135*s[40])/54 - (123*s[41])/8 + 
       (3811*s[42])/108 + (11585*s[43])/2376 - (17701*s[44])/4752 - 
       (2297*s[45])/594 - (7087*s[46])/264 + (331379*s[47])/14256 - 
       (553351*s[48])/14256 + (34627*s[49])/14256 - (1957*s[50])/594 + 
       (349057*s[51])/14256 + (392167*s[52])/14256 - (8507*s[53])/1188 + 
       (25925*s[54])/396 + (1805*s[55])/1584 - (758797*s[56])/14256 + 
       (8653211*s[57])/21384 - (20509757*s[58])/128304 + 
       (19242881*s[59])/128304 - (11827033*s[60])/85536 - 
       (9638933*s[61])/1154736 - (10*s[70])/9 - s[74]/12 + s[75]/12 + 
       s[76]/3 + (10*s[77])/9 + (16*s[79])/9 - (61*s[80])/54 - 
       (104*s[82])/3 + 2*s[84] - (14*s[85])/3) + HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*((33*s[3])/4 + (41*s[4])/8 - 
       (3287*s[5])/44 - (13483*s[6])/528 - (1081523*s[7])/1584 + 
       (165893*s[8])/4752 + (267829*s[9])/432 + (31415*s[10])/108 + 
       (2085509*s[11])/3168 + (1823629*s[12])/3168 + (108059*s[13])/396 + 
       (463777*s[14])/1584 + (19139*s[15])/16 + (515621*s[16])/396 + 
       (462351*s[17])/352 + (197699*s[18])/1296 + (151903*s[19])/1296 + 
       (23728351*s[20])/14256 + (1235495*s[21])/1782 - (649981*s[22])/1782 - 
       (1224755*s[23])/3168 - (23229103*s[24])/28512 + 
       (180194723*s[25])/256608 - (133037297*s[26])/256608 + 5*s[30] - 
       (10*s[36])/3 + (17*s[37])/12 + (89*s[38])/3 + (47*s[39])/12 - 
       (103*s[40])/12 + (43*s[41])/4 - (503*s[42])/12 + (659*s[43])/44 + 
       (1459*s[44])/132 - (4567*s[45])/264 + (66895*s[46])/264 + 
       (439*s[47])/1584 + (78319*s[48])/1584 + (42353*s[49])/1584 - 
       (23973*s[50])/88 + (5495*s[51])/528 + (6161*s[52])/396 + 
       (191879*s[53])/792 + (1945*s[54])/66 + (762643*s[55])/528 + 
       (158989*s[56])/528 + (15517*s[57])/44 + (1122565*s[58])/4752 - 
       (1531693*s[59])/4752 - (17898029*s[60])/9504 + (7887689*s[61])/42768 + 
       s[68] - s[69] - 3*s[71] - 5*s[76] + s[77] + s[78] - 2*s[79] + 
       (119*s[80])/6 - 104*s[82] - 4*s[85]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*((13*s[2])/2 - (27*s[3])/4 - 
       (143*s[4])/8 + (2133*s[5])/88 - (1895*s[6])/176 + (45305*s[7])/264 + 
       (297577*s[8])/4752 - (100183*s[9])/432 - (6335*s[10])/108 - 
       (699173*s[11])/3168 - (721087*s[12])/3168 - (303331*s[13])/1584 - 
       (41161*s[14])/396 - (1313*s[15])/8 - (19918*s[16])/99 - 
       (326915*s[17])/3168 - (19535*s[18])/1296 - (41095*s[19])/1296 - 
       (6498211*s[20])/14256 - (2521315*s[21])/14256 + 
       (1809713*s[22])/14256 - (622379*s[23])/3168 + (6909517*s[24])/28512 - 
       (59751311*s[25])/256608 + (36028049*s[26])/256608 - s[27]/2 + 
       5*s[31] + (21*s[33])/4 - 12*s[34] - (10*s[36])/3 + (17*s[37])/12 + 
       (89*s[38])/3 + (47*s[39])/12 - (103*s[40])/12 + (43*s[41])/4 - 
       (503*s[42])/12 + (659*s[43])/44 + (1459*s[44])/132 - 
       (4567*s[45])/264 + (66895*s[46])/264 + (439*s[47])/1584 + 
       (78319*s[48])/1584 + (42353*s[49])/1584 - (23973*s[50])/88 + 
       (5495*s[51])/528 + (6161*s[52])/396 + (191879*s[53])/792 + 
       (1945*s[54])/66 + (762643*s[55])/528 + (158989*s[56])/528 + 
       (15517*s[57])/44 + (1122565*s[58])/4752 - (1531693*s[59])/4752 - 
       (17898029*s[60])/9504 + (7887689*s[61])/42768 + s[68] - s[69] - 
       3*s[71] - 5*s[76] + s[77] + s[78] - 2*s[79] + (119*s[80])/6 - 
       104*s[82] - 4*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*((65*s[3])/4 + (1691*s[4])/24 + 
       (7693*s[5])/132 + (81479*s[6])/528 + (689285*s[7])/528 - 
       (164375*s[8])/1584 - (160735*s[9])/144 - (3323*s[10])/9 - 
       (1522375*s[11])/1056 - (1630403*s[12])/1056 - (62483*s[13])/66 - 
       (83441*s[14])/528 - (82649*s[15])/48 - (24317*s[16])/11 - 
       (607483*s[17])/352 - (107135*s[18])/432 - (85363*s[19])/432 - 
       (12356551*s[20])/4752 - (2335673*s[21])/2376 + (60473*s[22])/88 + 
       (1545757*s[23])/1056 + (13373389*s[24])/9504 - 
       (155861161*s[25])/85536 + (88216675*s[26])/85536 + s[30] - s[32] - 
       s[36] + (13*s[37])/9 + (215*s[38])/6 - (331*s[39])/2 + (363*s[40])/2 - 
       (1769*s[41])/12 + (991*s[42])/4 + (8615*s[43])/66 - (8933*s[44])/66 + 
       (6653*s[45])/44 - (151447*s[46])/132 + (12301*s[47])/176 - 
       (4375*s[48])/176 - (101495*s[49])/176 + (232259*s[50])/264 + 
       (35773*s[51])/176 + (17173*s[52])/132 - (237065*s[53])/396 - 
       (1783*s[54])/66 - (5811209*s[55])/1584 - (1559857*s[56])/1584 + 
       (1094957*s[57])/594 - (29071883*s[58])/14256 + 
       (29065457*s[59])/14256 + (28830295*s[60])/3168 - 
       (8078563*s[61])/16038 + s[68] - s[69] - s[71] + 2*s[76] + s[77] - 
       s[78] + 14*s[79] + (5*s[80])/3 - 28*s[82] - 4*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Omega2[u, v, w]*
      (-s[2]/3 - (25*s[3])/4 + (157*s[4])/8 + (227*s[5])/22 + 
       (1285*s[6])/88 + (1299235*s[7])/4752 - (204667*s[8])/7128 - 
       (39989*s[9])/162 - (20669*s[10])/324 - (1373365*s[11])/4752 - 
       (734023*s[12])/2376 - (35867*s[13])/176 + (49901*s[14])/4752 - 
       (54571*s[15])/144 - (361571*s[16])/792 - (1742027*s[17])/4752 - 
       (1814*s[18])/243 - (151055*s[19])/1944 - (10361669*s[20])/21384 - 
       (6225877*s[21])/42768 + (6484769*s[22])/42768 + (10713*s[23])/44 + 
       (817865*s[24])/2673 - (77187257*s[25])/192456 + 
       (34903277*s[26])/192456 + (4*s[30])/3 - s[34]/3 - (13*s[35])/3 - 
       (28*s[36])/9 + (77*s[37])/18 + (25*s[38])/3 - 53*s[39] + 
       (532*s[40])/9 - (157*s[41])/3 + (767*s[42])/9 + (4391*s[43])/99 - 
       (33217*s[44])/792 + (13639*s[45])/396 - (41143*s[46])/132 + 
       (64157*s[47])/2376 - (77083*s[48])/2376 - (468857*s[49])/2376 + 
       (26492*s[50])/99 + (140347*s[51])/2376 + (82777*s[52])/2376 - 
       (26297*s[53])/132 - (829*s[54])/33 - (306643*s[55])/264 - 
       (443203*s[56])/2376 + (921329*s[57])/3564 - (9636731*s[58])/21384 + 
       (11654459*s[59])/21384 + (37571993*s[60])/14256 - 
       (7425421*s[61])/96228 - s[74]/6 + s[75]/6 + (32*s[79])/3 - 
       (25*s[80])/9 - 22*s[82] - 4*s[85]) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*(-s[2]/3 + s[3]/8 - (209*s[4])/16 - (609*s[5])/88 - 
       (5705*s[6])/264 - (753439*s[7])/3168 + (2225*s[8])/132 + 
       (1623*s[9])/8 + (3697*s[10])/48 + (69325*s[11])/264 + 
       (24873*s[12])/88 + (534827*s[13])/3168 + (681*s[14])/22 + 
       (92677*s[15])/288 + (323837*s[16])/792 + (1016695*s[17])/3168 + 
       (27179*s[18])/864 + (46513*s[19])/864 + (4603681*s[20])/9504 + 
       (49000*s[21])/297 - (16783*s[22])/132 - (297911*s[23])/1584 - 
       (906299*s[24])/3168 + (28457123*s[25])/85536 - 
       (14974367*s[26])/85536 - s[32]/4 - s[33]/12 + s[34]/3 + 
       (41*s[35])/24 + (13*s[36])/18 + (25*s[37])/12 - 7*s[38] + 
       (643*s[39])/24 - (2233*s[40])/72 + (649*s[41])/24 - (1315*s[42])/36 - 
       (12439*s[43])/396 + (3187*s[44])/99 - (13643*s[45])/396 + 
       (34487*s[46])/132 - (1367*s[47])/4752 - (115943*s[48])/4752 + 
       (1421317*s[49])/9504 - (172439*s[50])/792 - (271031*s[51])/9504 - 
       (35249*s[52])/2376 + (223477*s[53])/1584 + (5821*s[54])/176 + 
       (159057*s[55])/176 + (1936757*s[56])/9504 - (869185*s[57])/14256 + 
       (30000889*s[58])/85536 - (30745855*s[59])/85536 - 
       (133700845*s[60])/57024 + (40387025*s[61])/384912 - s[70] + s[74]/12 - 
       s[75]/12 + s[77] - (10*s[79])/3 + (5*s[80])/9 - (39*s[82])/2 - 
       4*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[v, u, w]*
      ((-3*s[2])/2 + (17*s[3])/3 + (21*s[4])/4 + (1523*s[5])/66 + 
       (811*s[6])/22 + (25205*s[7])/88 - (12956*s[8])/891 - 
       (38129*s[9])/162 - (43163*s[10])/324 - (78712*s[11])/297 - 
       (509335*s[12])/2376 - (232733*s[13])/2376 - (413981*s[14])/2376 - 
       (115573*s[15])/216 - (341549*s[16])/594 - (381863*s[17])/594 - 
       (11837*s[18])/243 - (73231*s[19])/972 - (7621435*s[20])/10692 - 
       (6173447*s[21])/21384 + (2960137*s[22])/21384 + (57811*s[23])/2376 + 
       (8372347*s[24])/21384 - (54294209*s[25])/192456 + 
       (42007769*s[26])/192456 - s[30]/3 - 2*s[31] - s[32]/6 - (13*s[33])/6 + 
       (13*s[34])/3 + (2*s[35])/3 + s[36]/3 - (19*s[37])/18 - (67*s[38])/6 + 
       (55*s[39])/2 - (185*s[40])/6 + (281*s[41])/12 - (371*s[42])/12 - 
       (837*s[43])/22 + (1109*s[44])/33 - (11567*s[45])/396 + 
       (91037*s[46])/396 + (589*s[47])/88 - (13633*s[48])/264 + 
       (45959*s[49])/264 - (11831*s[50])/66 - (15305*s[51])/792 - 
       (1019*s[52])/66 + (27928*s[53])/297 + (18995*s[54])/396 + 
       (476647*s[55])/792 + (363901*s[56])/2376 - (757151*s[57])/3564 + 
       (7346111*s[58])/21384 - (6784133*s[59])/21384 - (9996113*s[60])/4752 + 
       (15640325*s[61])/192456 - s[70] - s[74]/6 + s[75]/6 + 2*s[76] + 
       (2*s[77])/3 - (2*s[78])/3 + (4*s[79])/3 - (25*s[80])/9 - 17*s[82] - 
       4*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*M1[v, w, u]*
      (-s[2]/3 - (9*s[3])/4 + (35*s[4])/8 - (171*s[5])/22 - (1693*s[6])/132 - 
       (247787*s[7])/4752 - (11405*s[8])/3564 + (27295*s[9])/648 + 
       (4757*s[10])/162 + (26413*s[11])/594 + (120757*s[12])/4752 + 
       (4033*s[13])/528 + (288125*s[14])/4752 + (15739*s[15])/144 + 
       (84187*s[16])/792 + (334787*s[17])/2376 + (15817*s[18])/972 + 
       (14515*s[19])/1944 + (408842*s[20])/2673 + (3120923*s[21])/42768 - 
       (946933*s[22])/42768 + (13171*s[23])/528 - (3196471*s[24])/42768 + 
       (12386813*s[25])/384912 - (17767337*s[26])/384912 + s[30]/3 - 
       s[34]/3 - (4*s[35])/3 - (7*s[36])/9 + (59*s[37])/18 + 2*s[38] - 
       (163*s[39])/12 + (481*s[40])/36 - (151*s[41])/12 + (827*s[42])/36 - 
       (43*s[43])/396 - (2855*s[44])/396 - (1814*s[45])/99 + 
       (6359*s[46])/132 + (32111*s[47])/2376 - (49531*s[48])/2376 - 
       (4585*s[49])/297 - (13231*s[50])/396 + (23357*s[51])/1188 + 
       (2969*s[52])/297 + (2555*s[53])/66 - (2257*s[54])/132 + 
       (80669*s[55])/264 + (103723*s[56])/1188 + (559423*s[57])/1782 - 
       (27646*s[58])/2673 + (2248*s[59])/2673 - (3392603*s[60])/7128 + 
       (4945469*s[61])/96228 - s[74]/6 + s[75]/6 + (8*s[79])/3 - 
       (4*s[80])/9 - 10*s[82] - 4*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      Omega2[u, v, w]*(-s[2]/3 - (9*s[3])/4 - (213*s[4])/8 - (665*s[5])/132 - 
       (2513*s[6])/88 - (488447*s[7])/1584 + (86395*s[8])/2376 + 
       (27181*s[9])/108 + (8459*s[10])/108 + (536683*s[11])/1584 + 
       (151967*s[12])/396 + (347921*s[13])/1584 - (4625*s[14])/1584 + 
       (61345*s[15])/144 + (418267*s[16])/792 + (201271*s[17])/528 + 
       (19307*s[18])/324 + (27611*s[19])/648 + (4238915*s[20])/7128 + 
       (2961913*s[21])/14256 - (2300897*s[22])/14256 - (378005*s[23])/792 - 
       (2330701*s[24])/7128 + (28536413*s[25])/64152 - 
       (15209339*s[26])/64152 + (2*s[33])/3 - (2*s[34])/3 + (5*s[35])/3 + 
       (14*s[36])/9 + (23*s[37])/18 - (29*s[38])/3 + (81*s[39])/2 - 
       (847*s[40])/18 + (229*s[41])/6 - (1091*s[42])/18 - (7217*s[43])/198 + 
       (28547*s[44])/792 - (17399*s[45])/396 + (44537*s[46])/132 - 
       (29869*s[47])/2376 - (18649*s[48])/2376 + (390655*s[49])/2376 - 
       (53429*s[50])/198 - (104945*s[51])/2376 - (69383*s[52])/2376 + 
       (8279*s[53])/44 + (409*s[54])/66 + (311827*s[55])/264 + 
       (746873*s[56])/2376 - (1108003*s[57])/3564 + (11489053*s[58])/21384 - 
       (11727769*s[59])/21384 - (39996607*s[60])/14256 + 
       (3659474*s[61])/24057 - s[74]/6 + s[75]/6 - (16*s[79])/3 + 
       (17*s[80])/9 - 10*s[82] - 4*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      Omega2[w, u, v]*(-s[2]/3 + (7*s[3])/4 - (87*s[4])/8 - (731*s[5])/22 - 
       (8383*s[6])/132 - (2049365*s[7])/4752 + (87349*s[8])/3564 + 
       (249223*s[9])/648 + (41731*s[10])/324 + (134309*s[11])/297 + 
       (2157013*s[12])/4752 + (48911*s[13])/176 + (697277*s[14])/4752 + 
       (87025*s[15])/144 + (589519*s[16])/792 + (385643*s[17])/594 + 
       (208343*s[18])/1944 + (24545*s[19])/972 + (9893699*s[20])/10692 + 
       (17033981*s[21])/42768 - (9802597*s[22])/42768 - (72583*s[23])/176 - 
       (18534601*s[24])/42768 + (201361139*s[25])/384912 - 
       (136974041*s[26])/384912 - (2*s[30])/3 - s[34]/3 + (5*s[35])/3 + 
       (14*s[36])/9 + (71*s[37])/18 - 10*s[38] + (343*s[39])/6 - 
       (1147*s[40])/18 + (331*s[41])/6 - (1619*s[42])/18 - (8993*s[43])/198 + 
       (32759*s[44])/792 - (22631*s[45])/396 + (60521*s[46])/132 - 
       (7472*s[47])/297 + (3583*s[48])/297 + (222269*s[49])/1188 - 
       (139669*s[50])/396 - (77323*s[51])/1188 - (122015*s[52])/2376 + 
       (33533*s[53])/132 - (2507*s[54])/66 + (208733*s[55])/132 + 
       (552361*s[56])/1188 - (1939369*s[57])/3564 + (4115359*s[58])/5346 - 
       (8246639*s[59])/10692 - (6311147*s[60])/1782 + 
       (21514679*s[61])/96228 - s[74]/6 + s[75]/6 - (16*s[79])/3 + 
       (17*s[80])/9 + 2*s[82] - 4*s[85]) + HPL[{0, 1}, 1 - v]*M1[w, v, u]*
      ((-15*s[2])/4 + (61*s[3])/24 - (1345*s[4])/48 - (17917*s[5])/264 - 
       (65521*s[6])/528 - (9165841*s[7])/9504 + (287357*s[8])/4752 + 
       (89647*s[9])/108 + (29597*s[10])/108 + (1098491*s[11])/1056 + 
       (868249*s[12])/792 + (6223901*s[13])/9504 + (91057*s[14])/352 + 
       (1122439*s[15])/864 + (487822*s[16])/297 + (12940357*s[17])/9504 + 
       (7907*s[18])/36 + (41783*s[19])/432 + (3207965*s[20])/1584 + 
       (23402107*s[21])/28512 - (14418259*s[22])/28512 - 
       (2219839*s[23])/2376 - (3691181*s[24])/3564 + (159787919*s[25])/
        128304 - (99566651*s[26])/128304 + (7*s[30])/6 - (4*s[31])/3 + 
       s[32] + (3*s[33])/4 + (11*s[34])/6 - (3*s[35])/2 + (31*s[36])/9 - 
       (62*s[37])/9 - (95*s[38])/3 + (1097*s[39])/8 - (10937*s[40])/72 + 
       (2911*s[41])/24 - (14059*s[42])/72 - (109711*s[43])/792 + 
       (107023*s[44])/792 - (72143*s[45])/396 + (1031699*s[46])/792 - 
       (20231*s[47])/594 - (128279*s[48])/2376 + (185452*s[49])/297 - 
       (99134*s[50])/99 - (280213*s[51])/2376 - (60283*s[52])/594 + 
       (215546*s[53])/297 - (10679*s[54])/396 + (1224023*s[55])/264 + 
       (40174*s[56])/33 - (1435475*s[57])/2376 + (6722611*s[58])/3564 - 
       (13899287*s[59])/7128 - (76691485*s[60])/7128 + 
       (26377733*s[61])/42768 + s[66] - s[67] + s[68] - 3*s[69] + s[70] - 
       s[72] - s[73]/3 + s[74]/4 - s[75]/4 - s[77]/6 - (7*s[78])/3 + 
       2*s[79] - (4*s[80])/9 - 6*s[82] + s[83] - 4*s[85]) + 
     HPL[{0, 1}, 1 - w]*M1[w, v, u]*((-25*s[2])/12 - (35*s[3])/24 - 
       (1709*s[4])/48 - (11039*s[5])/264 - (50497*s[6])/528 - 
       (7202725*s[7])/9504 + (239513*s[8])/4752 + (17284*s[9])/27 + 
       (22631*s[10])/108 + (901687*s[11])/1056 + (739693*s[12])/792 + 
       (5441441*s[13])/9504 + (130271*s[14])/1056 + (836371*s[15])/864 + 
       (1534957*s[16])/1188 + (9457753*s[17])/9504 + (1769*s[18])/12 + 
       (50411*s[19])/432 + (2407861*s[20])/1584 + (16561855*s[21])/28512 - 
       (11406247*s[22])/28512 - (1921363*s[23])/2376 - (1519921*s[24])/1782 + 
       (136352927*s[25])/128304 - (77340503*s[26])/128304 + (5*s[30])/6 - 
       (2*s[31])/3 - s[32]/3 + s[33] + (5*s[34])/6 - (3*s[35])/2 + 
       (31*s[36])/9 + (64*s[37])/9 - (107*s[38])/3 + (1017*s[39])/8 - 
       (10217*s[40])/72 + (2623*s[41])/24 - (12403*s[42])/72 - 
       (101935*s[43])/792 + (106501*s[44])/792 - (60947*s[45])/396 + 
       (889499*s[46])/792 - (21427*s[47])/1188 - (170993*s[48])/2376 + 
       (726877*s[49])/1188 - (86201*s[50])/99 - (250099*s[51])/2376 - 
       (107309*s[52])/1188 + (177746*s[53])/297 + (24997*s[54])/396 + 
       (337075*s[55])/88 + (126751*s[56])/132 - (1647875*s[57])/2376 + 
       (1478542*s[58])/891 - (12168677*s[59])/7128 - (8430083*s[60])/891 + 
       (21530177*s[61])/42768 + s[66] - s[67] + s[68] - 3*s[69] - s[70] - 
       s[72] - s[73]/3 + s[74]/4 - s[75]/4 + (11*s[77])/6 - (7*s[78])/3 + 
       2*s[79] - (4*s[80])/9 - 6*s[82] + s[83] - 4*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((17*s[2])/2 + (173*s[3])/4 + (6295*s[4])/24 + (2133*s[5])/44 + 
       (10288*s[6])/33 + (4068775*s[7])/1584 - (168833*s[8])/891 - 
       (1370645*s[9])/648 - (172481*s[10])/324 - (3715213*s[11])/1188 - 
       (17625719*s[12])/4752 - (11768287*s[13])/4752 + (1636109*s[14])/4752 - 
       (1203407*s[15])/432 - (1201765*s[16])/297 - (680380*s[17])/297 - 
       (838261*s[18])/1944 - (448273*s[19])/972 - (11632924*s[20])/2673 - 
       (64374439*s[21])/42768 + (58257971*s[22])/42768 + 
       (18270233*s[23])/4752 + (119086877*s[24])/42768 - 
       (1629153307*s[25])/384912 + (793777177*s[26])/384912 - s[30] + 
       4*s[31] + (17*s[32])/3 + 4*s[33] - (32*s[34])/3 - 3*s[35] - 
       (169*s[36])/9 - (388*s[37])/9 + (443*s[38])/2 - (1792*s[39])/3 + 
       (5971*s[40])/9 - (6779*s[41])/12 + (27077*s[42])/36 + 
       (67127*s[43])/99 - (505657*s[44])/792 + (220201*s[45])/396 - 
       (585785*s[46])/132 - (18745*s[47])/594 + (310463*s[48])/594 - 
       (3659749*s[49])/1188 + (697255*s[50])/198 + (318787*s[51])/594 + 
       (1055521*s[52])/2376 - (47555*s[53])/22 - (65677*s[54])/132 - 
       (919955*s[55])/66 - (3768113*s[56])/1188 + (11723915*s[57])/3564 - 
       (70233139*s[58])/10692 + (18079900*s[59])/2673 + 
       (34880300*s[60])/891 - (311711327*s[61])/192456 - s[64]/2 + s[65]/6 + 
       s[66] - 2*s[67] - 8*s[68] + 6*s[69] + (22*s[70])/3 - (19*s[71])/6 - 
       2*s[72] - 12*s[73] - s[74] - s[75]/2 + s[76] - (40*s[77])/3 - 
       6*s[78] - 7*s[79] + (299*s[80])/9 - 270*s[82] - (3*s[83])/4 - 
       (15*s[84])/2 - 4*s[85]) + D36[u, v, w]*(-s[2]/3 - (35*s[3])/12 + 
       (75*s[4])/8 - (523*s[5])/132 - (1195*s[6])/264 + (116191*s[7])/4752 - 
       (15973*s[8])/2376 - (2323*s[9])/108 + (913*s[10])/108 - 
       (60581*s[11])/1584 - (12343*s[12])/198 - (209897*s[13])/4752 + 
       (72583*s[14])/1584 - (1057*s[15])/432 - (48013*s[16])/2376 + 
       (173687*s[17])/4752 + (953*s[18])/324 - (3259*s[19])/648 - 
       (19843*s[20])/7128 + (82739*s[21])/4752 + (243611*s[22])/14256 + 
       (282131*s[23])/2376 + (95281*s[24])/7128 - (169975*s[25])/2376 + 
       (10181*s[26])/792 - s[32]/6 - s[34]/3 + s[36]/9 + (22*s[37])/9 + 
       (17*s[38])/3 - (265*s[39])/12 + (887*s[40])/36 - (217*s[41])/12 + 
       (1207*s[42])/36 + (3973*s[43])/396 - (13565*s[44])/792 - 
       (1195*s[45])/198 - (14789*s[46])/396 + (32839*s[47])/2376 - 
       (36791*s[48])/2376 - (131869*s[49])/2376 + (5909*s[50])/198 + 
       (59273*s[51])/2376 + (46019*s[52])/2376 - (7273*s[53])/1188 - 
       (509*s[54])/99 - (4199*s[55])/792 + (1609*s[56])/264 + 
       (189949*s[57])/594 - (893359*s[58])/7128 + (832153*s[59])/7128 + 
       (3509695*s[60])/14256 + (30295*s[61])/2376 - (2*s[73])/3 - s[74]/3 + 
       s[75]/3 + 6*s[79] - (16*s[80])/9 - 15*s[82] + s[83]/2 + 3*s[84] - 
       4*s[85]) + HPL[{0, 1}, 1 - u]*M1[v, w, u]*((-19*s[2])/12 + 
       (37*s[3])/24 + (8917*s[4])/48 + (241*s[5])/3 + (11609*s[6])/48 + 
       (630521*s[7])/288 - (90551*s[8])/432 - (395677*s[9])/216 - 
       (12034*s[10])/27 - (705695*s[11])/288 - (100283*s[12])/36 - 
       (55445*s[13])/32 - (6995*s[14])/288 - (261239*s[15])/96 - 
       (84503*s[16])/24 - (705625*s[17])/288 - (64403*s[18])/162 - 
       (355493*s[19])/1296 - (5205469*s[20])/1296 - (3572261*s[21])/2592 + 
       (2988181*s[22])/2592 + (9704*s[23])/3 + (181481*s[24])/81 - 
       (38023561*s[25])/11664 + (19372375*s[26])/11664 + s[30]/3 - s[31]/3 + 
       s[32]/3 - (85*s[33])/24 - (5*s[34])/3 - (25*s[35])/6 - (35*s[36])/3 + 
       (37*s[37])/3 + 111*s[38] - (9877*s[39])/24 + (10877*s[40])/24 - 
       (8489*s[41])/24 + (14255*s[42])/24 + (7985*s[43])/24 - 
       (8291*s[44])/24 + (1339*s[45])/4 - (67117*s[46])/24 + 
       (5945*s[47])/36 - (1601*s[48])/72 - (51299*s[49])/36 + 
       (6247*s[50])/3 + (30605*s[51])/72 + (13195*s[52])/36 - 
       (4327*s[53])/3 + (1027*s[54])/4 - (647971*s[55])/72 - 
       (90217*s[56])/36 + (760139*s[57])/216 - (375755*s[58])/81 + 
       (3000757*s[59])/648 + (1194767*s[60])/54 - (13470035*s[61])/11664 + 
       s[66] - s[67] - s[68] - s[69] - s[70] - s[71] + s[72]/3 + s[73] - 
       (25*s[74])/12 + (25*s[75])/12 - (4*s[76])/3 + s[77]/2 - (7*s[78])/3 + 
       40*s[79] - 4*s[80] - 90*s[82] + s[83]/2 + 23*s[84] - 4*s[85]) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]^2*(-6*s[2] + (601*s[3])/48 - 
       (5959*s[4])/32 - (46331*s[5])/352 - (27589*s[6])/88 - 
       (28031099*s[7])/9504 + (806389*s[8])/3168 + (40245*s[9])/16 + 
       (100685*s[10])/144 + (10344329*s[11])/3168 + (319917*s[12])/88 + 
       (10476377*s[13])/4752 + (840035*s[14])/3168 + (203945*s[15])/54 + 
       (11518027*s[16])/2376 + (16874071*s[17])/4752 + (1508917*s[18])/2592 + 
       (26911*s[19])/81 + (163819895*s[20])/28512 + (60031045*s[21])/28512 - 
       (14916481*s[22])/9504 - (36821057*s[23])/9504 - (3214987*s[24])/1056 + 
       (2144170613*s[25])/513216 - (1172515367*s[26])/513216 + s[27]/24 - 
       s[30]/6 - (47*s[31])/12 + (9*s[32])/8 - (13*s[33])/8 + (22*s[34])/3 + 
       (19*s[35])/4 + (697*s[36])/72 - (1385*s[37])/72 - (2923*s[38])/24 + 
       (46993*s[39])/96 - (155911*s[40])/288 + (13477*s[41])/32 - 
       (205865*s[42])/288 - (1242557*s[43])/3168 + (2704831*s[44])/6336 - 
       (320339*s[45])/792 + (10827991*s[46])/3168 - (3862061*s[47])/19008 + 
       (544297*s[48])/19008 + (33542843*s[49])/19008 - (1024927*s[50])/396 - 
       (9415327*s[51])/19008 - (7765309*s[52])/19008 + 
       (16876901*s[53])/9504 - (256969*s[54])/1584 + (70566121*s[55])/6336 + 
       (19336787*s[56])/6336 - (20236231*s[57])/4752 + 
       (107603411*s[58])/19008 - (107743321*s[59])/19008 - 
       (3117586469*s[60])/114048 + (737097649*s[61])/513216 + s[66]/2 - 
       s[67]/2 + s[68]/2 - s[69] + (3*s[70])/2 + (5*s[71])/8 - (5*s[72])/2 - 
       s[73]/6 + (21*s[74])/8 - (21*s[75])/8 + (15*s[76])/4 + (5*s[77])/12 - 
       (11*s[78])/3 - (97*s[79])/2 + (295*s[80])/36 + (43*s[82])/2 + 
       s[83]/2 - (33*s[84])/2 - 3*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^4*((-7*s[2])/16 - (121*s[3])/32 - (13403*s[4])/192 - 
       (3917*s[5])/96 - (24709*s[6])/192 - (3559703*s[7])/3456 + 
       (464617*s[8])/5184 + (2237189*s[9])/2592 + (19925*s[10])/81 + 
       (3951835*s[11])/3456 + (1099703*s[12])/864 + (2707007*s[13])/3456 + 
       (379837*s[14])/3456 + (4543211*s[15])/3456 + (46249*s[16])/27 + 
       (1460347*s[17])/1152 + (3079307*s[18])/15552 + (993971*s[19])/7776 + 
       (31043519*s[20])/15552 + (22574971*s[21])/31104 - 
       (16798685*s[22])/31104 - (2238539*s[23])/1728 - (8455781*s[24])/7776 + 
       (25741387*s[25])/17496 - (112390397*s[26])/139968 - s[30]/6 - 
       s[31]/4 + (5*s[32])/16 - (5*s[33])/24 + (13*s[34])/24 + s[35]/24 + 
       (95*s[36])/48 - (523*s[37])/144 - (1639*s[38])/48 + 
       (28415*s[39])/192 - (31739*s[40])/192 + (8227*s[41])/64 - 
       (13907*s[42])/64 - (84879*s[43])/704 + (271853*s[44])/2112 - 
       (413995*s[45])/3168 + (6823175*s[46])/6336 - (376627*s[47])/6336 - 
       (13925*s[48])/3168 + (3345853*s[49])/6336 - (139575*s[50])/176 - 
       (238423*s[51])/1584 - (207605*s[52])/1584 + (10275721*s[53])/19008 - 
       (136717*s[54])/1584 + (10898695*s[55])/3168 + (19361597*s[56])/19008 - 
       (80502437*s[57])/57024 + (155988929*s[58])/85536 - 
       (152793857*s[59])/85536 - (322504907*s[60])/38016 + 
       (185363449*s[61])/384912 - s[68]/4 + s[69]/4 + s[70]/2 + s[71]/16 - 
       (7*s[72])/12 + s[73]/12 + (35*s[74])/48 - (35*s[75])/48 + 
       (2*s[76])/3 - (11*s[77])/24 - (7*s[78])/12 - (167*s[79])/12 + 
       (67*s[80])/18 - 8*s[82] - (13*s[84])/2 - 3*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      (-s[2]/16 - (1495*s[3])/288 - (3575*s[4])/64 - (40621*s[5])/1584 - 
       (505031*s[6])/6336 - (22340875*s[7])/28512 + (1990685*s[8])/28512 + 
       (3365609*s[9])/5184 + (1069945*s[10])/5184 + (16451935*s[11])/19008 + 
       (18257491*s[12])/19008 + (32858839*s[13])/57024 + 
       (1118383*s[14])/19008 + (2674675*s[15])/2592 + 
       (75020611*s[16])/57024 + (56424875*s[17])/57024 + 
       (1951385*s[18])/15552 + (2215735*s[19])/15552 + 
       (130428965*s[20])/85536 + (29275049*s[21])/57024 - 
       (8735867*s[22])/21384 - (51544055*s[23])/57024 - 
       (75305963*s[24])/85536 + (64566845*s[25])/57024 - 
       (8318335*s[26])/14256 + s[30]/9 + s[31]/12 + s[32]/24 + (5*s[33])/16 - 
       (5*s[34])/24 + s[35]/2 + (101*s[36])/216 - (169*s[37])/54 - 
       (51*s[38])/2 + (3117*s[39])/32 - (95927*s[40])/864 + (2713*s[41])/32 - 
       (119137*s[42])/864 - (828037*s[43])/9504 + (3599125*s[44])/38016 - 
       (1093525*s[45])/9504 + (2006699*s[46])/2376 - (3485387*s[47])/114048 - 
       (1745495*s[48])/114048 + (46152701*s[49])/114048 - 
       (3121031*s[50])/4752 - (11356207*s[51])/114048 - 
       (8890657*s[52])/114048 + (1603565*s[53])/3564 - (108157*s[54])/9504 + 
       (36821839*s[55])/12672 + (28663021*s[56])/38016 - 
       (11102231*s[57])/19008 + (436042513*s[58])/342144 - 
       (437035327*s[59])/342144 - (4807801187*s[60])/684288 + 
       (1153214123*s[61])/3079296 - s[66]/4 + s[67]/4 - s[68]/4 + 
       (3*s[69])/4 - s[70]/4 - s[72]/4 - s[73]/12 + (71*s[74])/144 - 
       (71*s[75])/144 + (5*s[76])/9 - s[77]/24 + (5*s[78])/12 - 12*s[79] + 
       (86*s[80])/27 - (45*s[82])/2 - s[83]/8 - (65*s[84])/12 - 3*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((-341*s[2])/36 - (9*s[3])/8 + (27503*s[4])/48 + (46423*s[5])/198 + 
       (70875*s[6])/88 + (69274595*s[7])/9504 - (129697*s[8])/198 - 
       (97381*s[9])/16 - (130217*s[10])/72 - (12843419*s[11])/1584 - 
       (9554927*s[12])/1056 - (52599433*s[13])/9504 - (538357*s[14])/1056 - 
       (901625*s[15])/96 - (29003587*s[16])/2376 - (42700459*s[17])/4752 - 
       (1623785*s[18])/1296 - (361477*s[19])/324 - (99657947*s[20])/7128 - 
       (139082575*s[21])/28512 + (36637837*s[22])/9504 + 
       (88338785*s[23])/9504 + (74746505*s[24])/9504 - 
       (2710191607*s[25])/256608 + (1421788633*s[26])/256608 + (11*s[30])/6 - 
       (22*s[31])/3 - (5*s[32])/2 - (293*s[33])/36 + (175*s[34])/18 - 
       (145*s[35])/18 - (596*s[36])/27 + (943*s[37])/54 + (824*s[38])/3 - 
       (84901*s[39])/72 + (290143*s[40])/216 - (77533*s[41])/72 + 
       (379397*s[42])/216 + (197719*s[43])/216 - (235285*s[44])/216 + 
       (94387*s[45])/108 - (574357*s[46])/72 + (578881*s[47])/1296 - 
       (51899*s[48])/1296 - (5542825*s[49])/1296 + (1338085*s[50])/216 + 
       (1630625*s[51])/1296 + (157609*s[52])/162 - (445295*s[53])/108 + 
       (7735*s[54])/36 - (3713203*s[55])/144 - (9060227*s[56])/1296 + 
       (20704891*s[57])/1944 - (155466157*s[58])/11664 + 
       (155640505*s[59])/11664 + (499163119*s[60])/7776 - 
       (340037125*s[61])/104976 + s[62]/2 + s[67]/3 - 3*s[68] + 4*s[69] - 
       (16*s[70])/3 - (5*s[71])/6 + (13*s[72])/3 - 3*s[73] - (337*s[74])/36 + 
       (337*s[75])/36 + (14*s[76])/3 - s[77]/6 - (4*s[78])/3 + 
       (1678*s[79])/9 - (1388*s[80])/27 - (205*s[82])/6 + 5*s[83] + 
       80*s[84] - (8*s[85])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - w]*((-4*s[2])/3 + (47*s[3])/8 + (511*s[4])/16 + 
       (1057*s[5])/66 + (20923*s[6])/528 + (1136243*s[7])/3168 - 
       (170107*s[8])/4752 - (64633*s[9])/216 - (9565*s[10])/108 - 
       (1203445*s[11])/3168 - (636307*s[12])/1584 - (242255*s[13])/1056 - 
       (124747*s[14])/3168 - (164773*s[15])/288 - (339419*s[16])/528 - 
       (1702847*s[17])/3168 - (47495*s[18])/648 - (61181*s[19])/1296 - 
       (10529483*s[20])/14256 - (8381125*s[21])/28512 + 
       (5273657*s[22])/28512 + (75221*s[23])/132 + (350653*s[24])/891 - 
       (61795493*s[25])/128304 + (38510225*s[26])/128304 - s[31] - s[32]/2 - 
       (31*s[33])/12 + (10*s[34])/3 + (11*s[35])/12 - (61*s[36])/9 + 
       (4*s[37])/3 + (293*s[38])/24 - 57*s[39] + (1193*s[40])/18 - 
       (154*s[41])/3 + (6463*s[42])/72 + (4889*s[43])/99 - 
       (71573*s[44])/1584 + (20609*s[45])/792 - (24249*s[46])/88 + 
       (122521*s[47])/4752 - (136793*s[48])/4752 - (915055*s[49])/4752 + 
       (164893*s[50])/792 + (228449*s[51])/4752 + (193973*s[52])/4752 - 
       (137077*s[53])/792 + (224*s[54])/11 - (1578605*s[55])/1584 - 
       (976271*s[56])/4752 + (465095*s[57])/891 - (21417289*s[58])/42768 + 
       (25988263*s[59])/42768 + (61490953*s[60])/28512 - 
       (30247687*s[61])/384912 - s[68]/2 + s[69]/2 - (5*s[70])/2 + s[74]/12 - 
       s[75]/12 + s[76] + (3*s[77])/2 + (26*s[79])/3 - (47*s[80])/18 - 
       34*s[82] - 2*s[85]) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*(-s[2]/6 + s[3]/16 - (209*s[4])/32 - (65*s[5])/12 - 
       (299*s[6])/48 - (68905*s[7])/576 + (1949*s[8])/216 + (2794*s[9])/27 + 
       (37267*s[10])/864 + (36499*s[11])/288 + (18643*s[12])/144 + 
       (41959*s[13])/576 + (3751*s[14])/288 + (103105*s[15])/576 + 
       (61589*s[16])/288 + (11923*s[17])/64 + (44945*s[18])/5184 + 
       (199771*s[19])/5184 + (1261841*s[20])/5184 + (181387*s[21])/2592 - 
       (165767*s[22])/2592 - (2975*s[23])/36 - (804139*s[24])/5184 + 
       (7793429*s[25])/46656 - (3528149*s[26])/46656 - s[32]/8 - s[33]/24 + 
       s[34]/6 + (5*s[35])/6 + (13*s[36])/36 + s[37]/18 - (7*s[38])/2 + 
       (161*s[39])/16 - (1753*s[40])/144 + (163*s[41])/16 - (955*s[42])/72 - 
       (361*s[43])/36 + (4193*s[44])/288 - (761*s[45])/36 + (3163*s[46])/24 - 
       (19*s[47])/216 - (913*s[48])/216 + (100157*s[49])/1728 - 
       (17437*s[50])/144 - (27943*s[51])/1728 - (4253*s[52])/864 + 
       (24029*s[53])/288 + (2237*s[54])/96 + (1559*s[55])/3 + 
       (166537*s[56])/1728 + (167467*s[57])/2592 + (2299037*s[58])/15552 - 
       (2436539*s[59])/15552 - (12562625*s[60])/10368 + 
       (4042099*s[61])/69984 - s[70]/2 + s[74]/24 - s[75]/24 + s[77]/2 - 
       (5*s[79])/3 + (5*s[80])/18 - (19*s[82])/2 - 2*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - u]*
      (-s[2]/6 + (7*s[3])/8 - (183*s[4])/16 - (833*s[5])/132 - 
       (145127*s[6])/6336 - (2946445*s[7])/19008 + (777239*s[8])/57024 + 
       (678865*s[9])/5184 + (100537*s[10])/2592 + (6329855*s[11])/38016 + 
       (6529663*s[12])/38016 + (137519*s[13])/1056 + (306001*s[14])/19008 + 
       (377413*s[15])/1728 + (26999*s[16])/99 + (9283165*s[17])/38016 - 
       (173311*s[18])/15552 + (965101*s[19])/15552 + 
       (44101177*s[20])/171072 + (707401*s[21])/10692 - 
       (1735999*s[22])/21384 - (68163*s[23])/1408 - (74203633*s[24])/342144 + 
       (735072929*s[25])/3079296 - (299689955*s[26])/3079296 - s[30]/3 - 
       s[34]/6 + (17*s[35])/24 + (65*s[36])/72 + (7*s[37])/36 - 
       (43*s[38])/18 + (893*s[39])/72 - (1129*s[40])/72 + (331*s[41])/24 - 
       (649*s[42])/36 - (5563*s[43])/264 + (52903*s[44])/3168 - 
       (3899*s[45])/132 + (48497*s[46])/264 + (65885*s[47])/19008 - 
       (339883*s[48])/19008 + (1529323*s[49])/19008 - (51505*s[50])/352 - 
       (28909*s[51])/2112 - (74977*s[52])/9504 + (175037*s[53])/1584 - 
       (3989*s[54])/264 + (4575581*s[55])/6336 + (3163349*s[56])/19008 + 
       (1792273*s[57])/14256 + (35615035*s[58])/171072 - 
       (39674737*s[59])/171072 - (185932513*s[60])/114048 + 
       (30571273*s[61])/384912 - s[74]/12 + s[75]/12 - (8*s[79])/3 + 
       (17*s[80])/18 - (35*s[82])/4 - 2*s[85]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*((-19*s[2])/8 + 
       (823*s[3])/144 + (29141*s[4])/288 + (198833*s[5])/1584 + 
       (724847*s[6])/3168 + (29958365*s[7])/14256 - (675335*s[8])/4752 - 
       (1563331*s[9])/864 - (475501*s[10])/864 - (21847981*s[11])/9504 - 
       (7825177*s[12])/3168 - (10697675*s[13])/7128 - (1585967*s[14])/4752 - 
       (931169*s[15])/324 - (101075237*s[16])/28512 - 
       (80549005*s[17])/28512 - (3039401*s[18])/7776 - (2448547*s[19])/7776 - 
       (90974173*s[20])/21384 - (138863279*s[21])/85536 + 
       (3944459*s[22])/3564 + (65822269*s[23])/28512 + 
       (65446643*s[24])/28512 - (2215033427*s[25])/769824 + 
       (39945289*s[26])/24057 - s[27]/2 + (13*s[30])/36 - (13*s[31])/18 - 
       (13*s[32])/24 - (91*s[33])/48 - (16*s[34])/9 + (19*s[35])/6 - 
       (301*s[36])/27 + (5039*s[37])/432 + (6745*s[38])/72 - 
       (5441*s[39])/16 + (160987*s[40])/432 - (20521*s[41])/72 + 
       (101629*s[42])/216 + (143227*s[43])/432 - (561517*s[44])/1728 + 
       (296345*s[45])/864 - (2297125*s[46])/864 + (436367*s[47])/5184 + 
       (387971*s[48])/5184 - (7698293*s[49])/5184 + (55453*s[50])/27 + 
       (1492867*s[51])/5184 + (1329001*s[52])/5184 - (3683009*s[53])/2592 - 
       (14977*s[54])/216 - (5231135*s[55])/576 - (3781273*s[56])/1728 + 
       (551539*s[57])/288 - (62200003*s[58])/15552 + (65069911*s[59])/15552 + 
       (692419877*s[60])/31104 - (76882405*s[61])/69984 + s[62]/4 - 
       (5*s[66])/6 + (4*s[67])/3 + (7*s[68])/6 + 3*s[69] - (2*s[70])/3 - 
       s[71]/24 + (5*s[72])/2 + (11*s[73])/18 - (5*s[74])/8 + (5*s[75])/8 + 
       (4*s[76])/3 + (65*s[77])/36 + (22*s[78])/9 + (95*s[79])/6 - 
       (403*s[80])/216 - 55*s[82] - (43*s[83])/12 - 4*s[84] - (5*s[85])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((87*s[2])/8 + (1859*s[3])/144 + (319*s[4])/288 + (62243*s[5])/792 + 
       (488309*s[6])/3168 + (42467113*s[7])/57024 - (1386035*s[8])/28512 - 
       (819143*s[9])/1296 - (254383*s[10])/1296 - (4708637*s[11])/6336 - 
       (6815795*s[12])/9504 - (21799559*s[13])/57024 - (2437175*s[14])/6336 - 
       (5463739*s[15])/5184 - (37380955*s[16])/28512 - 
       (72183139*s[17])/57024 - (727085*s[18])/2592 + (34411*s[19])/432 - 
       (24353699*s[20])/14256 - (137274067*s[21])/171072 + 
       (63410071*s[22])/171072 + (28221419*s[23])/28512 + 
       (48060857*s[24])/85536 - (151992887*s[25])/192456 + 
       (122230967*s[26])/192456 - (5*s[30])/18 + (85*s[31])/18 + 
       (5*s[32])/24 + (7*s[33])/3 - (263*s[34])/36 - (3*s[35])/4 - 
       (1007*s[36])/108 + (2015*s[37])/216 - (485*s[38])/24 - 
       (3505*s[39])/144 + (5531*s[40])/432 + (139*s[41])/18 + 
       (4673*s[42])/54 - (37177*s[43])/432 + (89065*s[44])/1728 - 
       (25885*s[45])/432 + (67879*s[46])/216 + (778249*s[47])/5184 - 
       (1291739*s[48])/5184 + (2198417*s[49])/5184 - (169729*s[50])/432 + 
       (389081*s[51])/5184 + (380483*s[52])/5184 + (131375*s[53])/648 + 
       (36119*s[54])/108 + (967867*s[55])/576 - (136391*s[56])/1728 + 
       (1730519*s[57])/864 - (3185207*s[58])/15552 - (801763*s[59])/15552 - 
       (158831375*s[60])/31104 - (655885*s[61])/139968 - (9*s[65])/8 - 
       (17*s[66])/6 + (29*s[67])/6 + (26*s[68])/3 + 4*s[69] + s[70]/4 + 
       (9*s[71])/8 + (25*s[72])/6 - (77*s[73])/18 - (67*s[74])/24 + 
       (67*s[75])/24 - (49*s[76])/12 + (25*s[77])/9 + (187*s[78])/18 - 
       12*s[79] + (239*s[80])/108 - 87*s[82] + (49*s[83])/12 - (5*s[84])/2 - 
       (4*s[85])/3) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^4*
      (-s[2]/12 + (7*s[3])/16 - (87*s[4])/32 - (987*s[5])/176 - 
       (13395*s[6])/1408 - (1743761*s[7])/19008 + (659237*s[8])/114048 + 
       (832651*s[9])/10368 + (38491*s[10])/1296 + (7243517*s[11])/76032 + 
       (7245679*s[12])/76032 + (245489*s[13])/4224 + (463457*s[14])/19008 + 
       (38821*s[15])/288 + (1022327*s[16])/6336 + (11047483*s[17])/76032 + 
       (370943*s[18])/31104 + (623797*s[19])/31104 + 
       (65707723*s[20])/342144 + (24431851*s[21])/342144 - 
       (16624961*s[22])/342144 - (445493*s[23])/8448 - 
       (74705485*s[24])/684288 + (720786353*s[25])/6158592 - 
       (418678079*s[26])/6158592 - s[30]/6 - s[34]/12 + (5*s[35])/12 + 
       (7*s[36])/18 - (41*s[37])/144 - (31*s[38])/24 + (133*s[39])/16 - 
       (1433*s[40])/144 + (425*s[41])/48 - (911*s[42])/72 - 
       (17053*s[43])/1584 + (57679*s[44])/6336 - (2977*s[45])/198 + 
       (52247*s[46])/528 - (23707*s[47])/38016 - (133267*s[48])/38016 + 
       (1784965*s[49])/38016 - (517981*s[50])/6336 - (287867*s[51])/38016 - 
       (85873*s[52])/19008 + (21801*s[53])/352 + (4489*s[54])/1056 + 
       (1670047*s[55])/4224 + (3245531*s[56])/38016 + (638191*s[57])/28512 + 
       (41940637*s[58])/342144 - (48447079*s[59])/342144 - 
       (197966275*s[60])/228096 + (32785549*s[61])/769824 - s[74]/24 + 
       s[75]/24 - (4*s[79])/3 + (17*s[80])/36 - (35*s[82])/8 - s[85]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]^2*((4*s[2])/3 - (157*s[3])/16 - 
       (4901*s[4])/32 - (45409*s[5])/528 - (117751*s[6])/528 - 
       (4303715*s[7])/2112 + (74711*s[8])/396 + (491303*s[9])/288 + 
       (33673*s[10])/72 + (1192601*s[11])/528 + (1774253*s[12])/704 + 
       (3237955*s[13])/2112 + (236309*s[14])/2112 + (1527587*s[15])/576 + 
       (1779557*s[16])/528 + (1306039*s[17])/528 + (161369*s[18])/432 + 
       (245093*s[19])/864 + (36921035*s[20])/9504 + (26064439*s[21])/19008 - 
       (20293475*s[22])/19008 - (5864227*s[23])/2112 - 
       (40885949*s[24])/19008 + (505939843*s[25])/171072 - 
       (267090913*s[26])/171072 - (17*s[30])/12 + s[31]/3 - (17*s[32])/24 + 
       (65*s[33])/48 + (5*s[34])/12 + (7*s[35])/6 + (63*s[36])/8 - 
       (131*s[37])/24 - (2191*s[38])/24 + (10915*s[39])/32 - 
       (12095*s[40])/32 + (9497*s[41])/32 - (15577*s[42])/32 - 
       (310979*s[43])/1056 + (109281*s[44])/352 - (14681*s[45])/44 + 
       (916775*s[46])/352 - (19641*s[47])/176 - (12101*s[48])/352 + 
       (43760*s[49])/33 - (1049057*s[50])/528 - (1083811*s[51])/3168 - 
       (73367*s[52])/264 + (4396951*s[53])/3168 - (23653*s[54])/264 + 
       (27849095*s[55])/3168 + (916147*s[56])/396 - (23175179*s[57])/9504 + 
       (116832967*s[58])/28512 - (118754989*s[59])/28512 - 
       (67142447*s[60])/3168 + (143080499*s[61])/128304 - s[66]/2 + s[67]/2 + 
       s[68] + s[70] + (7*s[71])/8 - s[72]/3 - 2*s[73] + (19*s[74])/12 - 
       (19*s[75])/12 - (5*s[76])/12 - s[77]/2 + (4*s[78])/3 - (51*s[79])/2 + 
       (2*s[80])/3 + (3*s[82])/2 - s[83]/2 - (31*s[84])/2 - s[85]) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((85*s[2])/12 - 7*s[3] + (659*s[4])/8 + (26759*s[5])/352 + 
       (186025*s[6])/1056 + (4792465*s[7])/3168 - (3853985*s[8])/28512 - 
       (3365611*s[9])/2592 - (865829*s[10])/2592 - (15681265*s[11])/9504 - 
       (1085819*s[12])/594 - (10359781*s[13])/9504 - (786785*s[14])/4752 - 
       (103477*s[15])/54 - (23135605*s[16])/9504 - (8487983*s[17])/4752 - 
       (1362997*s[18])/3888 - (663673*s[19])/7776 - (253822687*s[20])/85536 - 
       (48085085*s[21])/42768 + (68306471*s[22])/85536 + 
       (20383619*s[23])/9504 + (61619419*s[24])/42768 - 
       (3212510699*s[25])/1539648 + (1826183459*s[26])/1539648 - s[27]/12 - 
       s[30]/6 + (29*s[31])/6 - (19*s[32])/24 + (19*s[33])/8 - (25*s[34])/3 - 
       s[35] - (43*s[36])/18 + (1741*s[37])/144 + (3271*s[38])/72 - 
       (7855*s[39])/36 + (2825*s[40])/12 - (8641*s[41])/48 + 
       (5313*s[42])/16 + (59039*s[43])/396 - (948865*s[44])/6336 + 
       (200423*s[45])/1056 - (4774447*s[46])/3168 + (2600399*s[47])/19008 - 
       (2071873*s[48])/19008 - (11258981*s[49])/19008 + (842641*s[50])/792 + 
       (4576007*s[51])/19008 + (4150249*s[52])/19008 - (7393853*s[53])/9504 + 
       (224585*s[54])/792 - (3411937*s[55])/704 - (3223427*s[56])/2112 + 
       (22471597*s[57])/9504 - (153017531*s[58])/57024 + 
       (148460171*s[59])/57024 + (1261333133*s[60])/114048 - 
       (633106*s[61])/891 + s[66]/2 - s[67]/2 + (3*s[68])/2 - (5*s[69])/2 - 
       s[70] - (3*s[71])/8 + s[72] + s[73] - s[74] + s[75] - 5*s[76] + 
       (3*s[77])/2 + (3*s[78])/2 + (35*s[79])/2 - (77*s[80])/72 - 
       (67*s[82])/2 - (3*s[83])/4 + 6*s[84] - s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      (s[2]/18 - (11*s[3])/3 + 38*s[4] - (1619*s[5])/88 + (18917*s[6])/1056 + 
       (2897749*s[7])/14256 - (2609735*s[8])/85536 - (1302073*s[9])/7776 - 
       (41657*s[10])/1944 - (16151867*s[11])/57024 - (21796897*s[12])/57024 - 
       (7703549*s[13])/28512 + (1955773*s[14])/14256 - (164225*s[15])/1296 - 
       (4083007*s[16])/14256 - (596063*s[17])/19008 - (102893*s[18])/23328 - 
       (1135387*s[19])/23328 - (61316545*s[20])/256608 - 
       (7935217*s[21])/256608 + (30929471*s[22])/256608 + 
       (23567459*s[23])/57024 + (113407555*s[24])/513216 - 
       (1983367079*s[25])/4618944 + (681619769*s[26])/4618944 + 
       (5*s[32])/12 - (23*s[33])/36 - (5*s[34])/3 - (203*s[35])/36 - 
       (125*s[36])/54 - s[37]/2 + (115*s[38])/6 - (2747*s[39])/36 + 
       (9073*s[40])/108 - (638*s[41])/9 + (11939*s[42])/108 + 
       (68225*s[43])/1188 - (335495*s[44])/4752 + (1475*s[45])/1188 - 
       (152747*s[46])/594 + (797513*s[47])/28512 + (372935*s[48])/28512 - 
       (7821083*s[49])/28512 + (950039*s[50])/4752 + (2584909*s[51])/28512 + 
       (719957*s[52])/14256 - (511495*s[53])/7128 - (169997*s[54])/2376 - 
       (3026159*s[55])/9504 - (926575*s[56])/9504 + (2696575*s[57])/2376 - 
       (52474705*s[58])/85536 + (46858819*s[59])/85536 + 
       (361829909*s[60])/171072 - (1415705*s[61])/48114 + (5*s[70])/3 - 
       (4*s[74])/9 + (4*s[75])/9 + s[76]/9 - (5*s[77])/3 + (32*s[79])/3 - 
       (103*s[80])/54 + (13*s[82])/4 + (2*s[84])/3 + (2*s[85])/3) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^3*(s[2]/12 + (9*s[3])/16 - 
       (35*s[4])/32 + (107*s[5])/132 + (13*s[6])/22 + (540235*s[7])/38016 + 
       (13067*s[8])/57024 - (59405*s[9])/5184 - (51925*s[10])/5184 - 
       (534901*s[11])/38016 - (3298*s[12])/297 - (41951*s[13])/12672 - 
       (378835*s[14])/38016 - (29059*s[15])/1152 - (20245*s[16])/704 - 
       (1230197*s[17])/38016 - (18637*s[18])/15552 - (14287*s[19])/1944 - 
       (6814037*s[20])/171072 - (4647289*s[21])/342144 + 
       (2446295*s[22])/342144 - (111349*s[23])/6336 + 
       (4496161*s[24])/171072 - (11207869*s[25])/769824 + 
       (14595935*s[26])/1539648 - s[30]/12 + s[34]/12 + s[35]/3 + 
       (7*s[36])/36 - (181*s[37])/144 - s[38] + (139*s[39])/48 - 
       (409*s[40])/144 + (79*s[41])/48 - (337*s[42])/72 - (689*s[43])/1584 - 
       (259*s[44])/396 + (3121*s[45])/792 - (6959*s[46])/528 - 
       (20863*s[47])/4752 + (10573*s[48])/2376 - (56423*s[49])/19008 + 
       (12203*s[50])/792 - (52043*s[51])/19008 - (10777*s[52])/2376 - 
       (8863*s[53])/792 - (9971*s[54])/1056 - (41249*s[55])/528 - 
       (163891*s[56])/19008 - (2123977*s[57])/28512 + (707845*s[58])/171072 + 
       (146237*s[59])/171072 + (18454895*s[60])/114048 - 
       (7625665*s[61])/769824 + s[74]/24 - s[75]/24 - (2*s[79])/3 + s[80]/9 + 
       (61*s[82])/8 + s[85]) + HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w]^2*
      ((37*s[2])/24 - (191*s[3])/24 - (537*s[4])/8 - (30475*s[5])/1056 - 
       (108143*s[6])/1056 - (15349685*s[7])/19008 + (404825*s[8])/4752 + 
       (18175*s[9])/27 + (73109*s[10])/432 + (626559*s[11])/704 + 
       (794173*s[12])/792 + (11486665*s[13])/19008 + (120913*s[14])/2112 + 
       (1798661*s[15])/1728 + (12682559*s[16])/9504 + 
       (18396737*s[17])/19008 + (47557*s[18])/288 + (66637*s[19])/864 + 
       (2454833*s[20])/1584 + (31035377*s[21])/57024 - 
       (23935469*s[22])/57024 - (5729117*s[23])/4752 - (708791*s[24])/891 + 
       (599367113*s[25])/513216 - (319955363*s[26])/513216 - s[30] + 
       s[31]/3 + (7*s[32])/24 - (9*s[33])/16 - s[34]/6 + (11*s[35])/4 + 
       (53*s[36])/72 - (811*s[37])/72 - (631*s[38])/24 + (4031*s[39])/32 - 
       (39899*s[40])/288 + (9995*s[41])/96 - (56077*s[42])/288 - 
       (234361*s[43])/3168 + (569729*s[44])/6336 - (65995*s[45])/792 + 
       (2418563*s[46])/3168 - (1630795*s[47])/19008 + (1443683*s[48])/19008 + 
       (6009325*s[49])/19008 - (217697*s[50])/396 - (2752853*s[51])/19008 - 
       (2340455*s[52])/19008 + (3606565*s[53])/9504 - (225251*s[54])/1584 + 
       (14889547*s[55])/6336 + (4868309*s[56])/6336 - (609601*s[57])/396 + 
       (82840883*s[58])/57024 - (78617537*s[59])/57024 - 
       (638909035*s[60])/114048 + (176393191*s[61])/513216 - s[66]/2 + 
       s[67]/2 - s[68]/2 + 2*s[69] + s[70]/2 + s[71]/8 - s[72]/2 - 
       (5*s[73])/6 + (5*s[74])/8 - (5*s[75])/8 + (11*s[76])/4 + s[77]/12 - 
       s[78]/3 - (39*s[79])/2 + (185*s[80])/36 + (7*s[82])/2 + s[83]/4 - 
       3*s[84] + s[85]) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*(s[2]/6 + (9*s[3])/8 - (131*s[4])/16 + 
       (18409*s[5])/3168 - (17425*s[6])/1584 + (66151*s[7])/3168 + 
       (30257*s[8])/7128 - (28045*s[9])/1296 - (81763*s[10])/2592 - 
       (155659*s[11])/19008 + (166753*s[12])/19008 + (351115*s[13])/9504 - 
       (347681*s[14])/9504 - (6199*s[15])/108 - (471167*s[16])/9504 - 
       (1484455*s[17])/19008 - (130903*s[18])/7776 - (23983*s[19])/3888 - 
       (2419853*s[20])/21384 - (3492671*s[21])/85536 + (467465*s[22])/42768 - 
       (715441*s[23])/19008 + (5100503*s[24])/171072 + 
       (9562159*s[25])/769824 + (278555*s[26])/48114 - s[30]/6 + s[34]/6 + 
       (2*s[35])/3 + (7*s[36])/18 + (65*s[37])/72 - 2*s[38] + 
       (283*s[39])/24 - (841*s[40])/72 + (223*s[41])/24 - (661*s[42])/36 - 
       (1975*s[43])/198 + (6643*s[44])/2112 + (16253*s[45])/1584 - 
       (3293*s[46])/528 - (158581*s[47])/19008 - (20113*s[48])/19008 + 
       (472795*s[49])/19008 + (44641*s[50])/1584 - (3007*s[51])/704 - 
       (244169*s[52])/19008 - (30293*s[53])/1188 - (43745*s[54])/1584 - 
       (981949*s[55])/6336 + (151021*s[56])/19008 - (7578353*s[57])/28512 + 
       (12112061*s[58])/171072 - (10293539*s[59])/171072 + 
       (21520931*s[60])/114048 - (25402261*s[61])/1539648 + s[74]/12 - 
       s[75]/12 - (4*s[79])/3 + (2*s[80])/9 + (175*s[82])/12 + 2*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-161*s[2])/72 - (2047*s[3])/144 - (111031*s[4])/288 - 
       (33479*s[5])/144 - (176725*s[6])/288 - (7332793*s[7])/1296 + 
       (636323*s[8])/1296 + (12330889*s[9])/2592 + (3590387*s[10])/2592 + 
       (169598*s[11])/27 + (3014705*s[12])/432 + (10966387*s[13])/2592 + 
       (390457*s[14])/864 + (4781695*s[15])/648 + (24401293*s[16])/2592 + 
       (9057943*s[17])/1296 + (7925185*s[18])/7776 + (6441485*s[19])/7776 + 
       (21349693*s[20])/1944 + (10153051*s[21])/2592 - 
       (11569049*s[22])/3888 - (4664387*s[23])/648 - (47453815*s[24])/7776 + 
       (189574067*s[25])/23328 - (50794129*s[26])/11664 - (19*s[30])/18 - 
       (25*s[31])/18 - (13*s[32])/9 - (19*s[33])/24 + (187*s[34])/36 + 
       (77*s[35])/6 + (725*s[36])/54 - (3119*s[37])/108 - (8471*s[38])/36 + 
       (5341*s[39])/6 - (106771*s[40])/108 + (54523*s[41])/72 - 
       (137675*s[42])/108 - (908093*s[43])/1188 + (15248423*s[44])/19008 - 
       (3830063*s[45])/4752 + (30969379*s[46])/4752 - 
       (18674629*s[47])/57024 - (2011213*s[48])/57024 + 
       (195431419*s[49])/57024 - (5890421*s[50])/1188 - 
       (50149277*s[51])/57024 - (41543687*s[52])/57024 + 
       (48616949*s[53])/14256 - (938687*s[54])/4752 + (45536111*s[55])/2112 + 
       (108217387*s[56])/19008 - (197242345*s[57])/28512 + 
       (198424819*s[58])/19008 - (602076559*s[59])/57024 - 
       (18175882717*s[60])/342144 + (4206654065*s[61])/1539648 + s[66]/6 - 
       s[67]/6 + (2*s[68])/3 - s[70]/3 + (7*s[71])/6 - (23*s[72])/6 - 
       (11*s[73])/18 + (89*s[74])/24 - (89*s[75])/24 + (23*s[76])/6 + 
       (13*s[77])/36 - (83*s[78])/18 - 82*s[79] + (329*s[80])/27 + 
       (55*s[82])/2 + (7*s[83])/12 - (37*s[84])/2 + (8*s[85])/3) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      (s[2]/4 + (27*s[3])/16 + (5*s[4])/96 + (677*s[5])/528 + 
       (4527*s[6])/352 + (205741*s[7])/6336 + (1951*s[8])/3168 - 
       (6427*s[9])/288 - (3911*s[10])/288 - (26083*s[11])/704 - 
       (24413*s[12])/704 - (49505*s[13])/1584 - (13601*s[14])/528 - 
       (27821*s[15])/576 - (213331*s[16])/3168 - (110569*s[17])/1584 - 
       (665*s[18])/576 - (6779*s[19])/576 - (108787*s[20])/1584 - 
       (637579*s[21])/19008 + (135389*s[22])/9504 - (203711*s[23])/6336 + 
       (139085*s[24])/2376 - (3506201*s[25])/85536 + (5505649*s[26])/171072 - 
       s[30]/4 + s[34]/4 + s[35] + (7*s[36])/12 - (37*s[37])/24 - 2*s[38] + 
       (305*s[39])/48 - (99*s[40])/16 + (221*s[41])/48 - (67*s[42])/6 + 
       (95*s[43])/22 + (269*s[44])/176 + (601*s[45])/66 - (3205*s[46])/88 - 
       (16145*s[47])/1584 + (39889*s[48])/1584 - (83317*s[49])/6336 + 
       (1351*s[50])/66 - (31763*s[51])/2112 - (10759*s[52])/1584 - 
       (50375*s[53])/3168 + (2813*s[54])/1056 - (85289*s[55])/528 - 
       (403729*s[56])/6336 - (1214437*s[57])/9504 - (1295009*s[58])/57024 + 
       (1313999*s[59])/57024 + (14126833*s[60])/38016 - 
       (4112831*s[61])/128304 + s[74]/8 - s[75]/8 - 2*s[79] + s[80]/3 + 
       (69*s[82])/4 + 3*s[85]) + HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*((53*s[2])/24 + (125*s[3])/48 + (10135*s[4])/96 + 
       (58517*s[5])/528 + (693149*s[6])/3168 + (19726657*s[7])/9504 - 
       (2305807*s[8])/14256 - (4565365*s[9])/2592 - (1508969*s[10])/2592 - 
       (21287137*s[11])/9504 - (2857039*s[12])/1188 - (4437901*s[13])/3168 - 
       (3619615*s[14])/9504 - (2446477*s[15])/864 - (1243189*s[16])/352 - 
       (26931287*s[17])/9504 - (3144059*s[18])/7776 - (2333059*s[19])/7776 - 
       (182550623*s[20])/42768 - (66634889*s[21])/42768 + 
       (92930201*s[22])/85536 + (3453607*s[23])/1584 + 
       (48712775*s[24])/21384 - (1077877529*s[25])/384912 + 
       (1213954459*s[26])/769824 - (7*s[30])/4 + (13*s[32])/24 - 
       (127*s[33])/48 + s[34] - (19*s[35])/12 - (3*s[36])/4 + 
       (1667*s[37])/144 + (3431*s[38])/72 - (2081*s[39])/9 + 
       (9269*s[40])/36 - (9457*s[41])/48 + (49795*s[42])/144 + 
       (17057*s[43])/99 - (420557*s[44])/2112 + (771083*s[45])/3168 - 
       (654737*s[46])/352 + (710951*s[47])/6336 - (214105*s[48])/6336 - 
       (5052605*s[49])/6336 + (1117921*s[50])/792 + (4820837*s[51])/19008 + 
       (1284133*s[52])/6336 - (3161119*s[53])/3168 + (4958*s[54])/33 - 
       (39729035*s[55])/6336 - (3721921*s[56])/2112 + (1882967*s[57])/1056 - 
       (56041927*s[58])/19008 + (54826411*s[59])/19008 + 
       (557157221*s[60])/38016 - (74156711*s[61])/85536 + s[66]/2 - s[67]/2 + 
       s[68]/2 - (3*s[69])/2 + (3*s[70])/2 + (7*s[71])/8 + s[72]/6 + 
       (7*s[73])/6 - (31*s[74])/24 + (31*s[75])/24 - (7*s[76])/6 - 
       (5*s[77])/12 - (3*s[78])/2 + (47*s[79])/2 - (313*s[80])/24 + 
       (75*s[82])/2 - s[83]/4 + 13*s[84] + 3*s[85]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      (-s[2]/12 + (95*s[3])/6 + (5989*s[4])/24 + (72847*s[5])/528 + 
       (632671*s[6])/1584 + (64931425*s[7])/19008 - (8916757*s[8])/28512 - 
       (7418501*s[9])/2592 - (2017081*s[10])/2592 - (71865619*s[11])/19008 - 
       (20047451*s[12])/4752 - (1804703*s[13])/704 - (4887175*s[14])/19008 - 
       (7653551*s[15])/1728 - (1990993*s[16])/352 - (79491569*s[17])/19008 - 
       (5013679*s[18])/7776 - (1702273*s[19])/3888 - (561297767*s[20])/
        85536 - (401214511*s[21])/171072 + (305827757*s[22])/171072 + 
       (406905*s[23])/88 + (75968125*s[24])/21384 - (1892089777*s[25])/
        384912 + (2028420521*s[26])/769824 + (7*s[30])/3 + s[31] - 
       (17*s[32])/24 + (11*s[33])/16 - (37*s[34])/12 - 3*s[35] - 
       (34*s[36])/3 + (3401*s[37])/144 + (10115*s[38])/72 - 
       (40285*s[39])/72 + (44353*s[40])/72 - (22771*s[41])/48 + 
       (117079*s[42])/144 + (360655*s[43])/792 - (337671*s[44])/704 + 
       (1562837*s[45])/3168 - (1408043*s[46])/352 + (1504219*s[47])/6336 - 
       (222605*s[48])/6336 - (12739249*s[49])/6336 + (2369605*s[50])/792 + 
       (10708337*s[51])/19008 + (3004565*s[52])/6336 - (6609791*s[53])/3168 + 
       (5383*s[54])/22 - (27667853*s[55])/2112 - (22866407*s[56])/6336 + 
       (45357667*s[57])/9504 - (375307297*s[58])/57024 + 
       (376128565*s[59])/57024 + (1209363277*s[60])/38016 - 
       (438235973*s[61])/256608 - s[66]/2 + s[67]/2 + s[68]/2 + s[69]/2 - 
       2*s[70] - (7*s[71])/8 + 3*s[72] + s[73]/3 - 3*s[74] + 3*s[75] - 
       6*s[76] + (7*s[77])/6 + (29*s[78])/6 + (93*s[79])/2 - (33*s[80])/8 - 
       (71*s[82])/2 - s[83] + (39*s[84])/2 + 3*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*
      ((43*s[2])/16 - (175*s[3])/96 + (69391*s[4])/192 + (218791*s[5])/1056 + 
       (1167323*s[6])/2112 + (195726491*s[7])/38016 - (26657977*s[8])/57024 - 
       (1408787*s[9])/324 - (390079*s[10])/324 - (217463365*s[11])/38016 - 
       (30397009*s[12])/4752 - (147823631*s[13])/38016 - 
       (12386569*s[14])/38016 - (22843501*s[15])/3456 - 
       (40290229*s[16])/4752 - (78241865*s[17])/12672 - 
       (1853411*s[18])/1944 - (10543769*s[19])/15552 - 
       (1691411981*s[20])/171072 - (1205942827*s[21])/342144 + 
       (931300571*s[22])/342144 + (32651183*s[23])/4752 + 
       (462365819*s[24])/85536 - (11428583153*s[25])/1539648 + 
       (6091056905*s[26])/1539648 + (17*s[30])/24 + (7*s[31])/3 - 
       (3*s[32])/2 - (53*s[33])/24 - (131*s[34])/24 - (185*s[35])/24 - 
       (152*s[36])/9 + (4543*s[37])/144 + (5075*s[38])/24 - 837*s[39] + 
       (66949*s[40])/72 - (34511*s[41])/48 + (21899*s[42])/18 + 
       (136031*s[43])/198 - (4647745*s[44])/6336 + (2308021*s[45])/3168 - 
       (6317605*s[46])/1056 + (6293579*s[47])/19008 - (635101*s[48])/19008 - 
       (58641293*s[49])/19008 + (900305*s[50])/198 + (16076095*s[51])/19008 + 
       (13192177*s[52])/19008 - (620519*s[53])/198 + (20311*s[54])/88 - 
       (41529767*s[55])/2112 - (100547995*s[56])/19008 + 
       (199740143*s[57])/28512 - (1673106815*s[58])/171072 + 
       (1685159957*s[59])/171072 + (5492981321*s[60])/114048 - 
       (3855563981*s[61])/1539648 - s[69]/2 - (3*s[70])/2 - s[71]/3 + 
       (11*s[72])/4 - (17*s[73])/12 - (63*s[74])/16 + (187*s[75])/48 - 
       4*s[76] + (43*s[77])/24 + (25*s[78])/12 + 85*s[79] - (1399*s[80])/72 - 
       (57*s[82])/2 + s[83]/2 + 36*s[84] + 3*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - u]*
      ((5*s[2])/18 - (29*s[3])/8 - (289*s[4])/16 - (593*s[5])/88 - 
       (2599*s[6])/792 - (6437219*s[7])/28512 + (467065*s[8])/21384 + 
       (47002*s[9])/243 + (226493*s[10])/3888 + (3937855*s[11])/14256 + 
       (1206479*s[12])/3564 + (36221*s[13])/198 - (369119*s[14])/14256 + 
       (223117*s[15])/864 + (876947*s[16])/2376 + (5328751*s[17])/28512 + 
       (1422937*s[18])/23328 + (563447*s[19])/23328 + 
       (60275821*s[20])/128304 + (43519643*s[21])/256608 - 
       (16211363*s[22])/128304 - (323887*s[23])/792 - 
       (58613425*s[24])/256608 + (802122401*s[25])/2309472 - 
       (211251709*s[26])/1154736 - (23*s[30])/18 + (5*s[34])/18 + 
       (10*s[35])/9 - (19*s[36])/54 - (851*s[37])/216 - 19*s[38] + 
       (4307*s[39])/72 - (13745*s[40])/216 + (3215*s[41])/72 - 
       (2183*s[42])/27 - (46823*s[43])/1188 + (34297*s[44])/594 - 
       (8363*s[45])/594 + (25048*s[46])/99 - (342733*s[47])/14256 - 
       (5209*s[48])/14256 + (6629549*s[49])/28512 - (488263*s[50])/2376 - 
       (1433623*s[51])/28512 - (63643*s[52])/1782 + (56033*s[53])/528 + 
       (136159*s[54])/1584 + (1016965*s[55])/1584 + (3825301*s[56])/28512 - 
       (30983465*s[57])/42768 + (132211289*s[58])/256608 - 
       (130201967*s[59])/256608 - (376683005*s[60])/171072 + 
       (35559587*s[61])/577368 + (5*s[74])/36 - (5*s[75])/36 + s[76] - 
       (56*s[79])/9 - (8*s[80])/27 - (79*s[82])/6 + (10*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - w]*
      ((5*s[2])/18 + (15*s[3])/8 - (175*s[4])/48 - (1029*s[5])/88 - 
       (46513*s[6])/3168 - (1295017*s[7])/14256 + (713263*s[8])/85536 + 
       (723215*s[9])/7776 + (16013*s[10])/972 + (5778007*s[11])/57024 + 
       (5926181*s[12])/57024 + (196949*s[13])/3168 + (274435*s[14])/14256 + 
       (24655*s[15])/216 + (45517*s[16])/297 + (6193529*s[17])/57024 + 
       (1032229*s[18])/23328 - (645001*s[19])/23328 + 
       (50885207*s[20])/256608 + (29015909*s[21])/256608 - 
       (13668157*s[22])/256608 - (1471535*s[23])/6336 - 
       (19037291*s[24])/513216 + (503935627*s[25])/4618944 - 
       (438462985*s[26])/4618944 - (5*s[30])/18 + (5*s[34])/18 + 
       (5*s[35])/9 + (28*s[36])/27 - (271*s[37])/108 - 6*s[38] + 
       (1477*s[39])/36 - (4411*s[40])/108 + (1351*s[41])/36 - 
       (1841*s[42])/27 - (18779*s[43])/1188 + (98597*s[44])/4752 + 
       (19729*s[45])/2376 + (75005*s[46])/792 - (848105*s[47])/28512 + 
       (1203241*s[48])/28512 + (2322203*s[49])/28512 - (329939*s[50])/4752 - 
       (1400485*s[51])/28512 - (468887*s[52])/14256 + (5485*s[53])/132 + 
       (5981*s[54])/792 + (427489*s[55])/3168 + (1757461*s[56])/28512 - 
       (15671305*s[57])/21384 + (80440211*s[58])/256608 - 
       (79293701*s[59])/256608 - (77740913*s[60])/171072 + 
       (24224071*s[61])/1154736 + (5*s[74])/36 - (5*s[75])/36 - 
       (20*s[79])/9 + (10*s[80])/27 + (229*s[82])/12 + (10*s[85])/3) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((-13*s[2])/2 + (27*s[3])/4 + (1161*s[4])/8 + (17209*s[5])/264 + 
       (103085*s[6])/528 + (755435*s[7])/396 - (715397*s[8])/4752 - 
       (689353*s[9])/432 - (57281*s[10])/108 - (6691271*s[11])/3168 - 
       (7273021*s[12])/3168 - (733363*s[13])/528 - (56527*s[14])/396 - 
       (96385*s[15])/36 - (877597*s[16])/264 - (8172385*s[17])/3168 - 
       (331685*s[18])/1296 - (545389*s[19])/1296 - (53420509*s[20])/14256 - 
       (18983161*s[21])/14256 + (14305607*s[22])/14256 + 
       (2166161*s[23])/1056 + (65414083*s[24])/28512 - 
       (701214269*s[25])/256608 + (378119867*s[26])/256608 - s[27]/2 - 
       5*s[31] - (15*s[33])/4 + 4*s[34] - (14*s[36])/3 - (485*s[37])/36 + 
       (271*s[38])/4 - (871*s[39])/4 + (2777*s[40])/12 - 202*s[41] + 
       (1217*s[42])/4 + (25723*s[43])/132 - (47833*s[44])/264 + 
       (48319*s[45])/264 - (397675*s[46])/264 + (32387*s[47])/528 + 
       (2289*s[48])/176 - (455387*s[49])/528 + (304225*s[50])/264 + 
       (327935*s[51])/1584 + (44621*s[52])/264 - (214397*s[53])/264 - 
       (5783*s[54])/132 - (8107153*s[55])/1584 - (684265*s[56])/528 + 
       (180151*s[57])/99 - (11780981*s[58])/4752 + (12545801*s[59])/4752 + 
       (39019603*s[60])/3168 - (2974781*s[61])/4752 - s[68] + s[69] - s[70] - 
       (5*s[71])/2 - s[74]/2 + s[75]/2 + 5*s[76] - s[77] + 4*s[79] + 
       (67*s[80])/6 - 48*s[82] + 4*s[85]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*((-5*s[2])/2 + (47*s[3])/4 + 
       (471*s[4])/8 + (343*s[5])/33 + (17185*s[6])/396 + (637237*s[7])/1584 - 
       (66091*s[8])/1188 - (70033*s[9])/216 - (3601*s[10])/108 - 
       (391205*s[11])/792 - (973273*s[12])/1584 - (601019*s[13])/1584 + 
       (218545*s[14])/1584 - (201449*s[15])/432 - (258223*s[16])/396 - 
       (263497*s[17])/792 - (51551*s[18])/648 - (6385*s[19])/162 - 
       (2288723*s[20])/3564 - (3159683*s[21])/14256 + (3020047*s[22])/14256 + 
       (1773487*s[23])/1584 + (5168767*s[24])/14256 - 
       (90093821*s[25])/128304 + (43301975*s[26])/128304 + 3*s[30] + 
       (3*s[33])/2 - s[34] - (14*s[36])/3 - (181*s[37])/36 + 
       (2401*s[38])/36 - (5939*s[39])/36 + (6431*s[40])/36 - (889*s[41])/6 + 
       (7609*s[42])/36 + (65921*s[43])/396 - (43387*s[44])/264 + 
       (111821*s[45])/792 - (296443*s[46])/264 + (4253*s[47])/198 + 
       (30121*s[48])/396 - (156551*s[49])/198 + (88109*s[50])/99 + 
       (83629*s[51])/594 + (78307*s[52])/792 - (477967*s[53])/792 - 
       (24251*s[54])/132 - (1525003*s[55])/396 - (162167*s[56])/198 + 
       (1284259*s[57])/1188 - (12422845*s[58])/7128 + (6894221*s[59])/3564 + 
       (47453915*s[60])/4752 - (51283781*s[61])/128304 - s[68] + s[69] - 
       s[70] - (5*s[71])/2 - s[74]/2 + s[75]/2 + 5*s[76] - s[77] + 4*s[79] + 
       (67*s[80])/6 - 10*s[82] + 4*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      M1[w, v, u]*(s[2]/3 + (9*s[3])/4 - (35*s[4])/8 - (5*s[5])/44 + 
       (989*s[6])/264 - (130267*s[7])/4752 + (45769*s[8])/7128 + 
       (2149*s[9])/81 - (451*s[10])/324 + (119617*s[11])/4752 + 
       (68137*s[12])/2376 + (3011*s[13])/176 - (84833*s[14])/4752 + 
       (6287*s[15])/144 + (26123*s[16])/792 + (96479*s[17])/4752 - 
       (2461*s[18])/972 + (13151*s[19])/1944 + (757979*s[20])/21384 + 
       (220741*s[21])/42768 - (665633*s[22])/42768 - (633*s[23])/11 - 
       (180467*s[24])/10692 + (4181041*s[25])/96228 - (696893*s[26])/48114 - 
       s[30]/3 + s[34]/3 + (4*s[35])/3 + (7*s[36])/9 + (2*s[37])/9 - 
       2*s[38] + (151*s[39])/12 - (445*s[40])/36 + (139*s[41])/12 - 
       (773*s[42])/36 - (2063*s[43])/396 + (3757*s[44])/792 + 
       (109*s[45])/198 + (4273*s[46])/132 - (24245*s[47])/2376 + 
       (59773*s[48])/2376 + (51791*s[49])/2376 - (3017*s[50])/99 - 
       (35347*s[51])/2376 - (26407*s[52])/2376 + (3517*s[53])/132 - 
       (305*s[54])/33 + (35593*s[55])/264 + (4693*s[56])/2376 - 
       (69233*s[57])/891 + (1203401*s[58])/21384 - (1799363*s[59])/21384 - 
       (2893853*s[60])/14256 - (1189783*s[61])/192456 + s[74]/6 - s[75]/6 - 
       (8*s[79])/3 + (4*s[80])/9 + 19*s[82] + 4*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Nt[u, v, w]*(s[2]/3 + (9*s[3])/4 - 
       (35*s[4])/8 + 2*s[5] + (91*s[6])/24 + (10219*s[7])/432 + 
       (2315*s[8])/648 - (5147*s[9])/324 - (1942*s[10])/81 - 
       (10063*s[11])/432 - (3187*s[12])/216 - (21*s[13])/16 - 
       (14845*s[14])/432 - (6757*s[15])/144 - (4151*s[16])/72 - 
       (31631*s[17])/432 - (9917*s[18])/1944 - (13121*s[19])/972 - 
       (164471*s[20])/1944 - (135649*s[21])/3888 + (39923*s[22])/3888 - 
       (125*s[23])/2 + (110791*s[24])/1944 - (131683*s[25])/8748 + 
       (343763*s[26])/17496 - s[30]/3 + s[34]/3 + (4*s[35])/3 + (7*s[36])/9 - 
       (16*s[37])/9 - 3*s[38] + (163*s[39])/12 - (481*s[40])/36 + 
       (127*s[41])/12 - (827*s[42])/36 - (55*s[43])/36 + (41*s[44])/18 + 
       (97*s[45])/9 - (229*s[46])/12 - (1739*s[47])/108 + (2917*s[48])/108 + 
       (25*s[49])/216 + (367*s[50])/18 - (3989*s[51])/216 - 
       (1663*s[52])/108 - (95*s[53])/6 - (253*s[54])/12 - (1789*s[55])/12 - 
       (6775*s[56])/216 - (40847*s[57])/162 + (82945*s[58])/1944 - 
       (72883*s[59])/1944 + (419615*s[60])/1296 - (243259*s[61])/8748 + 
       s[74]/6 - s[75]/6 - (8*s[79])/3 + (4*s[80])/9 + 25*s[82] + 4*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Nt[u, v, w]*(s[2]/3 + (9*s[3])/4 - 
       (55*s[4])/8 + (29*s[5])/6 + (57*s[6])/8 + (3187*s[7])/144 + 
       (1231*s[8])/216 - (502*s[9])/27 - (1345*s[10])/54 - (2819*s[11])/144 - 
       (395*s[12])/72 + (71*s[13])/144 - (7421*s[14])/144 - (2173*s[15])/48 - 
       (4439*s[16])/72 - (4181*s[17])/48 - (2821*s[18])/648 - 
       (4027*s[19])/324 - (29465*s[20])/324 - (52463*s[21])/1296 + 
       (12979*s[22])/1296 - (895*s[23])/9 + (35207*s[24])/648 - 
       (18089*s[25])/2916 + (53531*s[26])/2916 + s[33]/3 + (2*s[34])/3 + 
       (4*s[35])/3 + (7*s[36])/9 - (16*s[37])/9 - 3*s[38] + (163*s[39])/12 - 
       (481*s[40])/36 + (127*s[41])/12 - (827*s[42])/36 - (55*s[43])/36 + 
       (41*s[44])/18 + (97*s[45])/9 - (229*s[46])/12 - (1739*s[47])/108 + 
       (2917*s[48])/108 + (25*s[49])/216 + (367*s[50])/18 - 
       (3989*s[51])/216 - (1663*s[52])/108 - (95*s[53])/6 - (253*s[54])/12 - 
       (1789*s[55])/12 - (6775*s[56])/216 - (40847*s[57])/162 + 
       (82945*s[58])/1944 - (72883*s[59])/1944 + (419615*s[60])/1296 - 
       (243259*s[61])/8748 + s[74]/6 - s[75]/6 - (8*s[79])/3 + (4*s[80])/9 + 
       25*s[82] + 4*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - u]*(s[2]/3 + (9*s[3])/4 - (19*s[4])/8 + 
       (5123*s[5])/198 + (2267*s[6])/198 + (124865*s[7])/528 - 
       (48373*s[8])/3564 - (137995*s[9])/648 - (17573*s[10])/162 - 
       (247193*s[11])/1188 - (725887*s[12])/4752 - (302975*s[13])/4752 - 
       (545639*s[14])/4752 - (206999*s[15])/432 - (146783*s[16])/297 - 
       (167462*s[17])/297 - (37451*s[18])/1944 - (41797*s[19])/486 - 
       (6271127*s[20])/10692 - (9595331*s[21])/42768 + 
       (5131087*s[22])/42768 - (3023*s[23])/4752 + (13462249*s[24])/42768 - 
       (90043841*s[25])/384912 + (62652143*s[26])/384912 + (2*s[30])/3 + 
       s[33] + (4*s[34])/3 + (4*s[35])/3 + (7*s[36])/9 + (251*s[37])/36 - 
       5*s[38] + (43*s[39])/12 - (121*s[40])/36 - (41*s[41])/12 - 
       (35*s[42])/36 + (7169*s[43])/396 - (5*s[44])/11 + (5398*s[45])/99 - 
       (32431*s[46])/132 - (24547*s[47])/2376 + (16307*s[48])/2376 - 
       (238517*s[49])/2376 + (93527*s[50])/396 - (12449*s[51])/792 - 
       (27169*s[52])/1188 - (66805*s[53])/297 - (15215*s[54])/198 - 
       (1136497*s[55])/792 - (447581*s[56])/2376 - (2867819*s[57])/3564 - 
       (1665559*s[58])/21384 + (5371435*s[59])/21384 + 
       (34748975*s[60])/14256 - (5448373*s[61])/48114 + s[74]/6 - s[75]/6 - 
       (8*s[79])/3 + (4*s[80])/9 + (80*s[82])/3 + 4*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((5*s[2])/2 - (27*s[3])/2 - 8*s[4] + (2413*s[5])/66 + 
       (78541*s[6])/1584 + (33383*s[7])/66 - (40261*s[8])/4752 - 
       (198479*s[9])/432 - (6115*s[10])/27 - (1742129*s[11])/3168 - 
       (1731815*s[12])/3168 - (172429*s[13])/528 - (85457*s[14])/396 - 
       (151771*s[15])/216 - (92636*s[16])/99 - (2546435*s[17])/3168 - 
       (136357*s[18])/1296 - (98951*s[19])/1296 - (17059151*s[20])/14256 - 
       (7511459*s[21])/14256 + (4042255*s[22])/14256 + (129203*s[23])/1056 + 
       (19009109*s[24])/28512 - (150105865*s[25])/256608 + 
       (108653395*s[26])/256608 - 4*s[30] - (3*s[33])/2 + s[34] - 
       (7*s[36])/6 - (73*s[37])/9 + (271*s[38])/36 - (2251*s[39])/72 + 
       (2551*s[40])/72 - (1051*s[41])/24 + (3143*s[42])/72 + 
       (43405*s[43])/792 - (8311*s[44])/176 + (7127*s[45])/198 - 
       (102257*s[46])/264 - (3922*s[47])/99 + (74917*s[48])/792 - 
       (211837*s[49])/792 + (277957*s[50])/792 + (19853*s[51])/1188 + 
       (15223*s[52])/1584 - (158869*s[53])/792 - (16543*s[54])/132 - 
       (118669*s[55])/88 - (88559*s[56])/264 + (8491*s[57])/198 - 
       (1247593*s[58])/2376 + (1330513*s[59])/2376 + (17853427*s[60])/4752 - 
       (6991709*s[61])/42768 - 3*s[68] + s[69] + s[70] + s[71]/2 + s[74]/2 - 
       s[75]/2 + 5*s[76] - 3*s[77] - 2*s[78] - s[80] + 30*s[82] + 4*s[85]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((-13*s[2])/2 + (27*s[3])/4 + (143*s[4])/24 - (971*s[5])/44 - 
       (1681*s[6])/88 - (184405*s[7])/1584 + (16219*s[8])/792 + 
       (4111*s[9])/36 - (1111*s[10])/36 + (51731*s[11])/528 + 
       (86443*s[12])/792 + (20855*s[13])/528 + (569*s[14])/528 + 
       (51137*s[15])/432 + (19517*s[16])/198 + (92371*s[17])/1584 + 
       (10283*s[18])/108 - (22687*s[19])/216 + (502475*s[20])/2376 + 
       (563531*s[21])/4752 - (264311*s[22])/4752 - (149825*s[23])/264 + 
       (20947*s[24])/264 + (597965*s[25])/5346 - (1079281*s[26])/10692 + 
       s[27]/2 - 5*s[31] - (3*s[33])/2 + 6*s[34] - (7*s[36])/6 + s[37]/3 + 
       (233*s[38])/36 + (1549*s[39])/72 - (1249*s[40])/72 + (241*s[41])/24 - 
       (3545*s[42])/72 + (20909*s[43])/792 - (5347*s[44])/176 - 
       (1157*s[45])/198 - (1025*s[46])/264 - (41963*s[47])/528 + 
       (83239*s[48])/528 - (103307*s[49])/528 + (35077*s[50])/396 - 
       (235361*s[51])/4752 - (31963*s[52])/528 + (6355*s[53])/792 - 
       (35011*s[54])/132 - (42967*s[55])/528 + (224105*s[56])/1584 - 
       (826607*s[57])/1188 + (3011695*s[58])/14256 - (2077441*s[59])/14256 + 
       (4518625*s[60])/3168 + (8060179*s[61])/128304 - 3*s[68] + s[69] + 
       s[70] + s[71]/2 + s[74]/2 - s[75]/2 + 5*s[76] - 3*s[77] - 2*s[78] - 
       s[80] + 68*s[82] + 4*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*((-133*s[2])/24 - (319*s[3])/48 - 
       (10967*s[4])/32 - (20199*s[5])/88 - (203573*s[6])/352 - 
       (11373271*s[7])/2112 + (13084205*s[8])/28512 + (368978*s[9])/81 + 
       (1725985*s[10])/1296 + (112791731*s[11])/19008 + 
       (62361923*s[12])/9504 + (75296753*s[13])/19008 + 
       (10145477*s[14])/19008 + (4055531*s[15])/576 + (85110955*s[16])/9504 + 
       (127498241*s[17])/19008 + (7506065*s[18])/7776 + 
       (2987453*s[19])/3888 + (112686527*s[20])/10692 + 
       (643218011*s[21])/171072 - (485459611*s[22])/171072 - 
       (62624861*s[23])/9504 - (495648767*s[24])/85536 + 
       (5883087889*s[25])/769824 - (3172141207*s[26])/769824 - (7*s[30])/4 - 
       3*s[31] + (7*s[32])/4 - (107*s[33])/48 + (22*s[34])/3 + (73*s[35])/6 + 
       (94*s[36])/9 - (196*s[37])/9 - (7345*s[38])/36 + (57367*s[39])/72 - 
       (7057*s[40])/8 + (8159*s[41])/12 - (27607*s[42])/24 - 
       (533219*s[43])/792 + (4427267*s[44])/6336 - (1142005*s[45])/1584 + 
       (9241235*s[46])/1584 - (5879881*s[47])/19008 + (260231*s[48])/19008 + 
       (56684407*s[49])/19008 - (874541*s[50])/198 - (15158281*s[51])/19008 - 
       (12741371*s[52])/19008 + (14515687*s[53])/4752 - (418963*s[54])/1584 + 
       (13586115*s[55])/704 + (98520229*s[56])/19008 - 
       (182485187*s[57])/28512 + (1612152461*s[58])/171072 - 
       (1625157371*s[59])/171072 - (5372302681*s[60])/114048 + 
       (3829330487*s[61])/1539648 - s[66]/6 + s[67]/6 + s[68]/3 + s[69] - 
       (2*s[70])/3 + s[71] - (19*s[72])/6 - (5*s[73])/6 + (73*s[74])/24 - 
       (73*s[75])/24 + (7*s[76])/2 + s[77]/4 - (7*s[78])/2 - (217*s[79])/3 + 
       (67*s[80])/6 + (83*s[82])/2 + s[83]/2 - 14*s[84] + 4*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((17*s[2])/6 - (4*s[3])/3 + (3037*s[4])/12 + (1185*s[5])/8 + 
       (4523*s[6])/12 + (88799*s[7])/24 - (7958*s[8])/27 - (172129*s[9])/54 - 
       (189965*s[10])/216 - (601069*s[11])/144 - (671837*s[12])/144 - 
       (208385*s[13])/72 - (18599*s[14])/72 - (42836*s[15])/9 - 
       (441653*s[16])/72 - (638719*s[17])/144 - (422579*s[18])/648 - 
       (42458*s[19])/81 - (2331661*s[20])/324 - (1698779*s[21])/648 + 
       (322957*s[22])/162 + (660803*s[23])/144 + (5191553*s[24])/1296 - 
       (7821917*s[25])/1458 + (16924685*s[26])/5832 + s[30]/3 + (8*s[31])/3 - 
       (2*s[32])/3 + (23*s[33])/4 - (46*s[34])/3 - 7*s[35] - (145*s[36])/9 + 
       (625*s[37])/36 + (289*s[38])/2 - (2225*s[39])/4 + (21253*s[40])/36 - 
       (1397*s[41])/3 + (14605*s[42])/18 + (146405*s[43])/396 - 
       (40577*s[44])/99 + (219839*s[45])/792 - (249751*s[46])/88 + 
       (760013*s[47])/2376 - (357961*s[48])/2376 - (1994659*s[49])/1188 + 
       (808721*s[50])/396 + (714683*s[51])/1188 + (571415*s[52])/1188 - 
       (1037887*s[53])/792 + (3088*s[54])/33 - (6243107*s[55])/792 - 
       (2881283*s[56])/1188 + (24677825*s[57])/3564 - 
       (120604397*s[58])/21384 + (29139785*s[59])/5346 + 
       (306533981*s[60])/14256 - (418780327*s[61])/384912 - 2*s[66] + 
       2*s[67] + 2*s[68] + 2*s[69] - 2*s[70] - (5*s[71])/2 + (10*s[72])/3 + 
       2*s[73] - 3*s[74] + 3*s[75] - (4*s[76])/3 + s[77] + (26*s[78])/3 + 
       (116*s[79])/3 + (73*s[80])/18 - 78*s[82] - 4*s[83] - 4*s[84] + 
       4*s[85]) + HPL[{0, 1}, 1 - u]*M1[w, v, u]*((19*s[2])/12 - 
       (7*s[3])/24 + (3779*s[4])/48 + (19937*s[5])/264 + (86387*s[6])/528 + 
       (4567621*s[7])/3168 - (580427*s[8])/4752 - (33253*s[9])/27 - 
       (38033*s[10])/108 - (5012099*s[11])/3168 - (345241*s[12])/198 - 
       (3246025*s[13])/3168 - (634343*s[14])/3168 - (546107*s[15])/288 - 
       (476233*s[16])/198 - (641525*s[17])/352 - (25997*s[18])/81 - 
       (175363*s[19])/1296 - (41533975*s[20])/14256 - 
       (31988933*s[21])/28512 + (21656893*s[22])/28512 + (733615*s[23])/396 + 
       (10434715*s[24])/7128 - (253430137*s[25])/128304 + 
       (147525589*s[26])/128304 + (7*s[30])/6 + (4*s[31])/3 - s[32]/3 + 
       (17*s[33])/12 - (17*s[34])/6 - (17*s[35])/6 - 8*s[36] + (5*s[37])/2 + 
       55*s[38] - (5219*s[39])/24 + (5507*s[40])/24 - (4207*s[41])/24 + 
       (2543*s[42])/8 + (37837*s[43])/264 - (42871*s[44])/264 + 
       (9347*s[45])/66 - (337775*s[46])/264 + (49273*s[47])/396 - 
       (62461*s[48])/792 - (261295*s[49])/396 + (61549*s[50])/66 + 
       (174481*s[51])/792 + (77435*s[52])/396 - (125699*s[53])/198 + 
       (10393*s[54])/132 - (3107911*s[55])/792 - (455131*s[56])/396 + 
       (5655971*s[57])/2376 - (2107370*s[58])/891 + (16507465*s[59])/7128 + 
       (23130769*s[60])/2376 - (69449639*s[61])/128304 - s[66] + s[67] + 
       s[68] + s[69] - s[70] + (5*s[72])/3 + s[73] - (17*s[74])/12 + 
       (17*s[75])/12 - (2*s[76])/3 + s[77]/2 + (13*s[78])/3 + 10*s[79] - 
       s[80]/3 - 2*s[83] - 2*s[84] + 4*s[85]) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      ((5*s[2])/16 + (695*s[3])/96 + (21707*s[4])/192 + (3433*s[5])/176 + 
       (288889*s[6])/2112 + (15366403*s[7])/12672 - (2319217*s[8])/19008 - 
       (428627*s[9])/432 - (233177*s[10])/864 - (17165221*s[11])/12672 - 
       (2451877*s[12])/1584 - (11819927*s[13])/12672 + (26747*s[14])/12672 - 
       (603983*s[15])/384 - (1580129*s[16])/792 - (5830381*s[17])/4224 - 
       (625733*s[18])/2592 - (728663*s[19])/5184 - (130494629*s[20])/57024 - 
       (93083839*s[21])/114048 + (72295559*s[22])/114048 + 
       (5944273*s[23])/3168 + (35436011*s[24])/28512 - 
       (914759435*s[25])/513216 + (491474729*s[26])/513216 - s[30]/12 + 
       s[31]/12 + s[32]/6 - (151*s[33])/96 - (5*s[34])/12 - (37*s[35])/8 - 
       (49*s[36])/8 - (145*s[37])/144 + (1099*s[38])/24 - (4499*s[39])/24 + 
       (2521*s[40])/12 - (2857*s[41])/16 + (3293*s[42])/12 + 
       (22489*s[43])/132 - (118817*s[44])/704 + (587275*s[45])/3168 - 
       (4721533*s[46])/3168 + (41287*s[47])/704 + (61205*s[48])/2112 - 
       (1580725*s[49])/2112 + (202175*s[50])/176 + (1213301*s[51])/6336 + 
       (321097*s[52])/2112 - (3771421*s[53])/4752 + (9997*s[54])/396 - 
       (10685989*s[55])/2112 - (26049515*s[56])/19008 + 
       (40760299*s[57])/28512 - (405207823*s[58])/171072 + 
       (412396249*s[59])/171072 + (462893647*s[60])/38016 - 
       (985007575*s[61])/1539648 - s[68]/4 + s[69]/4 - s[70]/4 - 
       (5*s[71])/6 + (5*s[72])/12 + (3*s[73])/4 - (43*s[74])/48 + 
       (43*s[75])/48 + (13*s[76])/12 + s[77]/8 + s[78]/12 + (119*s[79])/6 + 
       (65*s[80])/72 - (63*s[82])/4 + s[83]/4 + (17*s[84])/2 + 4*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((73*s[2])/24 - (101*s[3])/48 + (7147*s[4])/32 + (480559*s[5])/3168 + 
       (37793*s[6])/99 + (3710417*s[7])/1056 - (2747033*s[8])/9504 - 
       (1287215*s[9])/432 - (95455*s[10])/108 - (12253423*s[11])/3168 - 
       (421442*s[12])/99 - (8202857*s[13])/3168 - (622753*s[14])/1584 - 
       (1995611*s[15])/432 - (64503*s[16])/11 - (3507679*s[17])/792 - 
       (1670645*s[18])/2592 - (630857*s[19])/1296 - (197120833*s[20])/28512 - 
       (71557021*s[21])/28512 + (52935731*s[22])/28512 + 
       (13323533*s[23])/3168 + (53753869*s[24])/14256 - 
       (2537287139*s[25])/513216 + (1389360017*s[26])/513216 + s[30]/4 + 
       (4*s[31])/3 - (5*s[32])/12 - (5*s[33])/48 - (10*s[34])/3 - 
       (61*s[35])/12 - (74*s[36])/9 + (1343*s[37])/72 + (397*s[38])/3 - 
       (12607*s[39])/24 + (42295*s[40])/72 - (11053*s[41])/24 + 
       (27349*s[42])/36 + (11329*s[43])/24 - (17137*s[44])/36 + 
       (71371*s[45])/144 - (574171*s[46])/144 + (26161*s[47])/144 + 
       (10103*s[48])/144 - (298799*s[49])/144 + (36379*s[50])/12 + 
       (220525*s[51])/432 + (31105*s[52])/72 - (8393*s[53])/4 + 
       (5389*s[54])/36 - (1920163*s[55])/144 - (514111*s[56])/144 + 
       3821*s[57] - (2712281*s[58])/432 + (2752493*s[59])/432 + 
       (14052637*s[60])/432 - (2172829*s[61])/1296 + s[66]/2 - s[67]/2 - 
       s[68]/2 - s[69]/2 + s[70]/2 - s[71]/2 + (11*s[72])/6 + s[73]/6 - 
       (53*s[74])/24 + (53*s[75])/24 - (7*s[76])/3 - (11*s[77])/12 - 
       s[78]/6 + 57*s[79] - (415*s[80])/36 - (73*s[82])/6 + 20*s[84] + 
       4*s[85]) + HPL[{0, 1}, 1 - w]*M1[v, w, u]*((25*s[2])/12 - 
       (307*s[3])/24 + (11633*s[4])/48 + (35645*s[5])/264 + 
       (190975*s[6])/528 + (32488927*s[7])/9504 - (1381007*s[8])/4752 - 
       (78415*s[9])/27 - (87149*s[10])/108 - (1344825*s[11])/352 - 
       (6768161*s[12])/1584 - (24952307*s[13])/9504 - (220321*s[14])/1056 - 
       (3769813*s[15])/864 - (3347495*s[16])/594 - (38744401*s[17])/9504 - 
       (132643*s[18])/216 - (67811*s[19])/144 - (31113001*s[20])/4752 - 
       (66736789*s[21])/28512 + (51964885*s[22])/28512 + 
       (21307883*s[23])/4752 + (51602891*s[24])/14256 - 
       (635127035*s[25])/128304 + (337500869*s[26])/128304 + (2*s[30])/3 + 
       (5*s[31])/3 - (2*s[32])/3 - s[33]/8 - (16*s[34])/3 - (11*s[35])/2 - 
       (130*s[36])/9 + (115*s[37])/18 + (479*s[38])/3 - (4853*s[39])/8 + 
       (48269*s[40])/72 - (12715*s[41])/24 + (62947*s[42])/72 + 
       (401491*s[43])/792 - (861929*s[44])/1584 + (187433*s[45])/396 - 
       (3268919*s[46])/792 + (1013599*s[47])/4752 + (98509*s[48])/4752 - 
       (10907293*s[49])/4752 + (1250735*s[50])/396 + (2870213*s[51])/4752 + 
       (2335427*s[52])/4752 - (633416*s[53])/297 + (5669*s[54])/99 - 
       (7042661*s[55])/528 - (1848151*s[56])/528 + (3009947*s[57])/594 - 
       (96409153*s[58])/14256 + (97684645*s[59])/14256 + 
       (953557915*s[60])/28512 - (35064679*s[61])/21384 - s[66] + s[67] - 
       s[68] + 3*s[69] - s[70] - s[71] + 3*s[72] - (5*s[73])/3 - 
       (15*s[74])/4 + (15*s[75])/4 - 2*s[76] - (5*s[77])/6 + (13*s[78])/3 + 
       60*s[79] - (59*s[80])/9 - 54*s[82] + s[83]/2 + 27*s[84] + 4*s[85]) + 
     HPL[{0, 1}, 1 - v]*M1[v, w, u]*((15*s[2])/4 - (403*s[3])/24 + 
       (11605*s[4])/48 + (40411*s[5])/264 + (208639*s[6])/528 + 
       (34382941*s[7])/9504 - (1454921*s[8])/4752 - (664991*s[9])/216 - 
       (186181*s[10])/216 - (1410859*s[11])/352 - (7044215*s[12])/1584 - 
       (25861289*s[13])/9504 - (328087*s[14])/1056 - (4032751*s[15])/864 - 
       (7089937*s[16])/1188 - (41825659*s[17])/9504 - (145565*s[18])/216 - 
       (197359*s[19])/432 - (33266165*s[20])/4752 - (72567571*s[21])/28512 + 
       (54826879*s[22])/28512 + (21980273*s[23])/4752 + 
       (54143831*s[24])/14256 - (661095107*s[25])/128304 + 
       (358650359*s[26])/128304 + s[30]/3 + (7*s[31])/3 - 2*s[32] + s[33]/8 - 
       (19*s[34])/3 - (11*s[35])/2 - (130*s[36])/9 + (367*s[37])/18 + 
       (467*s[38])/3 - (4933*s[39])/8 + (48989*s[40])/72 - (13003*s[41])/24 + 
       (64603*s[42])/72 + (409267*s[43])/792 - (862973*s[44])/1584 + 
       (198629*s[45])/396 - (3411119*s[46])/792 + (1089739*s[47])/4752 + 
       (13081*s[48])/4752 - (10967017*s[49])/4752 + (1302467*s[50])/396 + 
       (2930441*s[51])/4752 + (2388455*s[52])/4752 - (671216*s[53])/297 + 
       (14588*s[54])/99 - (2489419*s[55])/176 - (1983931*s[56])/528 + 
       (2956847*s[57])/594 - (99642925*s[58])/14256 + 
       (101145865*s[59])/14256 + (990561199*s[60])/28512 - 
       (37488457*s[61])/21384 - s[66] + s[67] - s[68] + 3*s[69] - 3*s[70] - 
       s[71] + 3*s[72] - (5*s[73])/3 - (15*s[74])/4 + (15*s[75])/4 - 
       2*s[76] + (7*s[77])/6 + (13*s[78])/3 + 60*s[79] - (59*s[80])/9 - 
       54*s[82] + s[83]/2 + 27*s[84] + 4*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      ((17*s[2])/144 + s[3]/48 - (1193*s[4])/32 - (10453*s[5])/352 - 
       (91015*s[6])/1584 - (4044649*s[7])/7128 + (151012*s[8])/2673 + 
       (1871261*s[9])/3888 + (123217*s[10])/972 + (17490421*s[11])/28512 + 
       (38953993*s[12])/57024 + (3747431*s[13])/9504 + 
       (3197555*s[14])/57024 + (212833*s[15])/288 + (2947687*s[16])/3168 + 
       (2472841*s[17])/3564 + (6077095*s[18])/46656 + (2050565*s[19])/46656 + 
       (573390749*s[20])/513216 + (207554267*s[21])/513216 - 
       (153475225*s[22])/513216 - (8164723*s[23])/9504 - 
       (140844323*s[24])/256608 + (3639040835*s[25])/4618944 - 
       (1994751545*s[26])/4618944 - (23*s[30])/36 - s[31]/12 + (7*s[32])/24 + 
       (11*s[33])/24 - (29*s[34])/72 + (13*s[35])/72 + (367*s[36])/216 - 
       (1945*s[37])/216 - (497*s[38])/24 + (12671*s[39])/144 - 
       (43049*s[40])/432 + (10445*s[41])/144 - (14473*s[42])/108 - 
       (270577*s[43])/4752 + (2583665*s[44])/38016 - (698107*s[45])/9504 + 
       (621937*s[46])/1056 - (6022195*s[47])/114048 + 
       (5076629*s[48])/114048 + (28277929*s[49])/114048 - 
       (2085367*s[50])/4752 - (11487455*s[51])/114048 - 
       (9428825*s[52])/114048 + (3026059*s[53])/9504 - (84749*s[54])/1056 + 
       (24749287*s[55])/12672 + (64449923*s[56])/114048 - 
       (153367873*s[57])/171072 + (1055647519*s[58])/1026432 - 
       (1045348297*s[59])/1026432 - (3063905599*s[60])/684288 + 
       (2412606061*s[61])/9237888 - s[66]/4 + s[67]/4 - s[68]/4 + 
       (3*s[69])/4 + (11*s[70])/12 - s[72]/4 - s[73]/12 + (13*s[74])/36 - 
       (13*s[75])/36 + s[76]/2 - (29*s[77])/24 + (5*s[78])/12 - 
       (130*s[79])/9 + (143*s[80])/27 + (269*s[82])/12 - s[83]/8 - 
       (21*s[84])/4 + (25*s[85])/6) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]^2*((5*s[2])/12 + (45*s[3])/16 - (1437*s[4])/32 - 
       (2155*s[5])/528 - (42721*s[6])/1056 - (290485*s[7])/704 + 
       (349835*s[8])/9504 + (313117*s[9])/864 + (28027*s[10])/432 + 
       (3077027*s[11])/6336 + (1819529*s[12])/3168 + (2370383*s[13])/6336 - 
       (223519*s[14])/6336 + (283883*s[15])/576 + (2003821*s[16])/3168 + 
       (2358149*s[17])/6336 + (35069*s[18])/648 + (143635*s[19])/2592 + 
       (20849497*s[20])/28512 + (13108751*s[21])/57024 - 
       (13161103*s[22])/57024 - (2056265*s[23])/3168 - (3138305*s[24])/7128 + 
       (85385777*s[25])/128304 - (40893305*s[26])/128304 - (47*s[33])/96 + 
       (65*s[34])/24 + (19*s[35])/6 + (245*s[36])/144 - (397*s[37])/72 - 
       (283*s[38])/16 + (14711*s[39])/192 - (50441*s[40])/576 + 
       (13217*s[41])/192 - (68023*s[42])/576 - (302395*s[43])/6336 + 
       (694325*s[44])/12672 + (10847*s[45])/3168 + (438521*s[46])/2112 - 
       (1881439*s[47])/38016 + (1091267*s[48])/38016 + 
       (6487093*s[49])/38016 - (11644*s[50])/99 - (3729161*s[51])/38016 - 
       (2808623*s[52])/38016 + (325103*s[53])/6336 - (85993*s[54])/1056 + 
       (244575*s[55])/1408 + (6140831*s[56])/38016 - (18923719*s[57])/14256 + 
       (211758073*s[58])/342144 - (186749899*s[59])/342144 - 
       (287912047*s[60])/228096 + (106387381*s[61])/3079296 + (7*s[71])/16 + 
       (5*s[74])/24 - (5*s[75])/24 - (119*s[79])/6 + (439*s[80])/72 + 
       (207*s[82])/4 + 5*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]^2*((5*s[2])/12 + (265*s[3])/32 - (1585*s[4])/64 + 
       (9395*s[5])/352 - (53539*s[6])/2112 + (4229963*s[7])/38016 + 
       (1314001*s[8])/57024 - (140221*s[9])/1296 - (167759*s[10])/1296 - 
       (2642711*s[11])/38016 + (265961*s[12])/9504 + (968045*s[13])/12672 - 
       (6213935*s[14])/38016 - (149365*s[15])/384 - (214069*s[16])/704 - 
       (18173929*s[17])/38016 + (13709*s[18])/1944 - (1687567*s[19])/15552 - 
       (79272673*s[20])/171072 - (62228345*s[21])/342144 + 
       (18733009*s[22])/342144 - (2664635*s[23])/6336 + 
       (50611469*s[24])/171072 - (18376231*s[25])/1539648 + 
       (96307285*s[26])/1539648 - (11*s[30])/12 + (3*s[33])/4 - 
       (7*s[34])/12 + (19*s[35])/6 + (245*s[36])/144 - (589*s[37])/72 - 
       (283*s[38])/16 + (14711*s[39])/192 - (50441*s[40])/576 + 
       (13217*s[41])/192 - (68023*s[42])/576 - (323611*s[43])/6336 + 
       (653765*s[44])/12672 + (28079*s[45])/3168 + (386681*s[46])/2112 - 
       (1971919*s[47])/38016 + (563603*s[48])/38016 + (6347749*s[49])/38016 - 
       (7687*s[50])/99 - (3512921*s[51])/38016 - (3015359*s[52])/38016 + 
       (42613*s[53])/2112 - (115817*s[54])/1056 + (11183*s[55])/1408 + 
       (6649583*s[56])/38016 - (20101099*s[57])/14256 + 
       (211993225*s[58])/342144 - (179539963*s[59])/342144 - 
       (224416447*s[60])/228096 + (78669829*s[61])/3079296 + (7*s[71])/16 + 
       (5*s[74])/24 - (5*s[75])/24 - (119*s[79])/6 + (439*s[80])/72 + 
       (223*s[82])/4 + 5*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*
      HPL[{1}, 1 - w]^2*((17*s[2])/24 - s[3]/12 + (151*s[4])/16 + 
       (9169*s[5])/528 + (77267*s[6])/2112 + (1829803*s[7])/6336 - 
       (974561*s[8])/57024 - (1273201*s[9])/5184 - (242209*s[10])/2592 - 
       (11572889*s[11])/38016 - (11696395*s[12])/38016 - 
       (3620677*s[13])/19008 - (806225*s[14])/9504 - (724079*s[15])/1728 - 
       (303167*s[16])/594 - (17418725*s[17])/38016 - (299917*s[18])/7776 - 
       (496613*s[19])/7776 - (102701275*s[20])/171072 - 
       (18746489*s[21])/85536 + (25613243*s[22])/171072 + 
       (5788177*s[23])/38016 + (122309419*s[24])/342144 - 
       (1157828987*s[25])/3079296 + (659007083*s[26])/3079296 - 
       (5*s[30])/12 + s[31]/6 - s[32]/12 + (5*s[33])/48 + s[34]/12 + 
       (19*s[35])/24 - (11*s[36])/72 - (227*s[37])/144 + (47*s[38])/12 - 
       (893*s[39])/48 + (3259*s[40])/144 - (929*s[41])/48 + (1843*s[42])/72 + 
       (21691*s[43])/792 - (82663*s[44])/3168 + (80765*s[45])/1584 - 
       (497833*s[46])/1584 - (87095*s[47])/19008 + (482815*s[48])/19008 - 
       (580453*s[49])/4752 + (795919*s[50])/3168 + (41191*s[51])/2376 + 
       (126109*s[52])/9504 - (1758445*s[53])/9504 + (24631*s[54])/3168 - 
       (2600501*s[55])/2112 - (978943*s[56])/3168 - (460201*s[57])/3168 - 
       (679117*s[58])/1782 + (5738165*s[59])/14256 + (154919939*s[60])/
        57024 - (2594087*s[61])/16038 + s[72]/6 - s[73]/6 - s[76]/12 - 
       s[77]/12 + s[78]/6 + s[79] - (11*s[80])/36 + (203*s[82])/8 + s[84] + 
       5*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*
      ((83*s[2])/72 + (15*s[3])/4 - (2981*s[4])/32 - (21931*s[5])/528 - 
       (355999*s[6])/3168 - (66526963*s[7])/57024 + (2380309*s[8])/21384 + 
       (7671641*s[9])/7776 + (976745*s[10])/3888 + (2319101*s[11])/1782 + 
       (84166613*s[12])/57024 + (5752385*s[13])/6336 + (17821*s[14])/3564 + 
       (2536571*s[15])/1728 + (35829517*s[16])/19008 + 
       (37472869*s[17])/28512 + (9665717*s[18])/46656 + 
       (7172317*s[19])/46656 + (1115850991*s[20])/513216 + 
       (389342065*s[21])/513216 - (318609671*s[22])/513216 - 
       (10618345*s[23])/6336 - (307282405*s[24])/256608 + 
       (7936730695*s[25])/4618944 - (4111168123*s[26])/4618944 - 
       (37*s[30])/36 + s[31]/6 - (11*s[32])/24 + (45*s[33])/32 + 
       (125*s[34])/72 + (101*s[35])/18 + (419*s[36])/54 - (9341*s[37])/864 - 
       (2765*s[38])/48 + (63581*s[39])/288 - (211595*s[40])/864 + 
       (3479*s[41])/18 - (138191*s[42])/432 - (1739833*s[43])/9504 + 
       (7206499*s[44])/38016 - (3134605*s[45])/19008 + (9164119*s[46])/6336 - 
       (9773561*s[47])/114048 + (1163827*s[48])/114048 + 
       (92315087*s[49])/114048 - (2614093*s[50])/2376 - 
       (25149313*s[51])/114048 - (20997799*s[52])/114048 + 
       (4771243*s[53])/6336 - (69689*s[54])/1584 + (59397793*s[55])/12672 + 
       (138735793*s[56])/114048 - (317461307*s[57])/171072 + 
       (2451550019*s[58])/1026432 - (2504481647*s[59])/1026432 - 
       (7993456331*s[60])/684288 + (2558029339*s[61])/4618944 - s[66]/4 + 
       s[67]/4 + s[68]/2 + s[70]/12 + (5*s[71])/16 - s[72]/6 - s[73] + 
       (41*s[74])/36 - (41*s[75])/36 - s[76]/12 + s[77]/6 + (2*s[78])/3 - 
       (905*s[79])/36 + (1549*s[80])/432 + (475*s[82])/12 - s[83]/4 - 
       (31*s[84])/4 + (16*s[85])/3) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]*((-11*s[2])/48 + (15*s[3])/16 - (5449*s[4])/48 - 
       (37579*s[5])/528 - (5491*s[6])/33 - (59767171*s[7])/38016 + 
       (8089903*s[8])/57024 + (6907577*s[9])/5184 + (1856389*s[10])/5184 + 
       (66117919*s[11])/38016 + (18391367*s[12])/9504 + 
       (1652421*s[13])/1408 + (3919381*s[14])/38016 + (2367055*s[15])/1152 + 
       (8245945*s[16])/3168 + (73186517*s[17])/38016 + 
       (4583437*s[18])/15552 + (393169*s[19])/1944 + (516611549*s[20])/
        171072 + (369245443*s[21])/342144 - (284754785*s[22])/342144 - 
       (1538895*s[23])/704 - (140315699*s[24])/85536 + 
       (3481208015*s[25])/1539648 - (232025917*s[26])/192456 - s[30]/6 - 
       s[31]/2 + (5*s[32])/8 + (127*s[33])/96 + (11*s[34])/8 + 
       (31*s[35])/24 + (455*s[36])/72 - (253*s[37])/18 - (1619*s[38])/24 + 
       (6415*s[39])/24 - (21389*s[40])/72 + (682*s[41])/3 - 
       (56543*s[42])/144 - (81773*s[43])/396 + (2886241*s[44])/12672 - 
       (677513*s[45])/3168 + (635029*s[46])/352 - (4494755*s[47])/38016 + 
       (1538173*s[48])/38016 + (35157257*s[49])/38016 - 
       (2160095*s[50])/1584 - (10462951*s[51])/38016 - 
       (8615185*s[52])/38016 + (3010613*s[53])/3168 - (36617*s[54])/352 + 
       (74671093*s[55])/12672 + (60831283*s[56])/38016 - 
       (135962669*s[57])/57024 + (1032891311*s[58])/342144 - 
       (1041294809*s[59])/342144 - (3259220135*s[60])/228096 + 
       (2301941861*s[61])/3079296 + s[66]/4 - s[67]/4 + s[68]/4 - 
       (3*s[69])/4 + (7*s[70])/4 + s[71]/4 - (5*s[72])/4 + s[73]/4 + 
       (17*s[74])/12 - (17*s[75])/12 + s[76] - (11*s[77])/8 - (5*s[78])/4 - 
       (175*s[79])/6 + (247*s[80])/36 + (197*s[82])/4 - 12*s[84] + 
       (11*s[85])/2) + D30[v, w, u]*(s[2]/2 + (27*s[3])/8 - (13*s[4])/16 + 
       (2031*s[5])/176 + (873*s[6])/44 + (56401*s[7])/352 + (289*s[8])/264 - 
       (6761*s[9])/48 - (3319*s[10])/48 - (56659*s[11])/352 - 
       (26057*s[12])/176 - (27499*s[13])/352 - (30489*s[14])/352 - 
       (8189*s[15])/32 - (52309*s[16])/176 - (101843*s[17])/352 - 
       (5371*s[18])/144 - (3965*s[19])/144 - (629327*s[20])/1584 - 
       (522325*s[21])/3168 + (260351*s[22])/3168 + (5989*s[23])/176 + 
       (314485*s[24])/1584 - (4882423*s[25])/28512 + (3715303*s[26])/28512 + 
       (5*s[33])/4 + 2*s[35] + (3*s[36])/4 - (103*s[37])/24 + s[38]/2 + 
       (185*s[39])/16 - (181*s[40])/16 + (113*s[41])/16 - (353*s[42])/16 + 
       (1073*s[43])/176 + (2051*s[44])/352 + (14119*s[45])/528 - 
       (21335*s[46])/264 - (6255*s[47])/352 + (10663*s[48])/352 - 
       (1211*s[49])/352 + (2577*s[50])/44 - (14483*s[51])/1056 - 
       (1919*s[52])/352 - (38047*s[53])/792 - (247*s[54])/132 - 
       (412913*s[55])/1056 - (343925*s[56])/3168 - (154843*s[57])/594 - 
       (1526869*s[58])/28512 + (1686601*s[59])/28512 + (4906765*s[60])/6336 - 
       (8696483*s[61])/128304 - s[71]/2 + s[74]/4 - s[75]/4 - 4*s[79] + 
       (41*s[80])/12 + 6*s[85]) + D30[w, u, v]*(s[2]/2 + 3*s[3] - 
       (29*s[4])/4 + (201*s[5])/88 + (1583*s[6])/88 + (1321*s[7])/264 + 
       (20755*s[8])/2376 - (227*s[9])/108 - (1447*s[10])/108 + 
       (148*s[11])/99 + (16393*s[12])/792 + (4211*s[13])/792 - 
       (45205*s[14])/792 - (397*s[15])/36 - (2119*s[16])/198 - 
       (40789*s[17])/792 - (2213*s[18])/162 + (811*s[19])/81 - 
       (284557*s[20])/7128 - (38024*s[21])/891 - (5683*s[22])/1782 - 
       (35441*s[23])/396 + (5530*s[24])/891 + (3489547*s[25])/128304 + 
       (2657399*s[26])/128304 - s[30]/2 + s[34]/2 + 2*s[35] + (3*s[36])/4 - 
       (103*s[37])/24 + s[38]/2 + (185*s[39])/16 - (181*s[40])/16 + 
       (113*s[41])/16 - (353*s[42])/16 + (1073*s[43])/176 + 
       (2051*s[44])/352 + (14119*s[45])/528 - (21335*s[46])/264 - 
       (6255*s[47])/352 + (10663*s[48])/352 - (1211*s[49])/352 + 
       (2577*s[50])/44 - (14483*s[51])/1056 - (1919*s[52])/352 - 
       (38047*s[53])/792 - (247*s[54])/132 - (412913*s[55])/1056 - 
       (343925*s[56])/3168 - (154843*s[57])/594 - (1526869*s[58])/28512 + 
       (1686601*s[59])/28512 + (4906765*s[60])/6336 - 
       (8696483*s[61])/128304 - s[71]/2 + s[74]/4 - s[75]/4 - 4*s[79] + 
       (41*s[80])/12 + 6*s[85]) + HPL[{1}, 1 - w]*Phi6[u, v, w]^2*
      (s[2]/2 + (27*s[3])/8 + (47*s[4])/16 + (1665*s[5])/88 + 
       (4159*s[6])/176 + (94823*s[7])/352 - (17191*s[8])/4752 - 
       (25793*s[9])/108 - (11791*s[10])/108 - (867727*s[11])/3168 - 
       (203969*s[12])/792 - (438049*s[13])/3168 - (354199*s[14])/3168 - 
       (126929*s[15])/288 - (791477*s[16])/1584 - (1503049*s[17])/3168 - 
       (31277*s[18])/648 - (77399*s[19])/1296 - (9165587*s[20])/14256 - 
       (7237069*s[21])/28512 + (4026749*s[22])/28512 + (139951*s[23])/1584 + 
       (4924273*s[24])/14256 - (39594701*s[25])/128304 + 
       (26995547*s[26])/128304 + (3*s[33])/4 + s[35]/2 - (11*s[36])/6 - 
       (53*s[37])/12 + (11*s[38])/2 + (11*s[39])/8 - (49*s[40])/24 - 
       (11*s[41])/8 - (275*s[42])/24 + (5617*s[43])/264 - (1351*s[44])/264 + 
       (11765*s[45])/264 - (8527*s[46])/44 - (17131*s[47])/792 + 
       (15013*s[48])/396 - (60257*s[49])/792 + (21347*s[50])/132 - 
       (904*s[51])/99 - (1015*s[52])/396 - (5435*s[53])/44 - (801*s[54])/22 - 
       (231025*s[55])/264 - (142081*s[56])/792 - (874523*s[57])/2376 - 
       (152146*s[58])/891 + (1550177*s[59])/7128 + (2242091*s[60])/1188 - 
       (13363435*s[61])/128304 - s[71]/2 + s[74]/4 - s[75]/4 - 6*s[79] + 
       (37*s[80])/6 + 6*s[85]) + HPL[{1}, 1 - v]*Phi6[u, v, w]^2*
      (s[2]/2 + (17*s[3])/8 - (41*s[4])/16 + (329*s[5])/44 + 
       (3745*s[6])/176 + (335525*s[7])/3168 + (4817*s[8])/4752 - 
       (4753*s[9])/54 - (5497*s[10])/108 - (335713*s[11])/3168 - 
       (69467*s[12])/792 - (191831*s[13])/3168 - (188953*s[14])/3168 - 
       (48991*s[15])/288 - (304549*s[16])/1584 - (222017*s[17])/1056 - 
       (5629*s[18])/324 - (35753*s[19])/1296 - (3398141*s[20])/14256 - 
       (3178987*s[21])/28512 + (1452203*s[22])/28512 - (64921*s[23])/1584 + 
       (2103661*s[24])/14256 - (7133095*s[25])/64152 + 
       (5845555*s[26])/64152 + s[34]/2 + s[35]/2 - (11*s[36])/6 - 
       (53*s[37])/12 + (11*s[38])/2 + (11*s[39])/8 - (49*s[40])/24 - 
       (11*s[41])/8 - (275*s[42])/24 + (5617*s[43])/264 - (1351*s[44])/264 + 
       (11765*s[45])/264 - (8527*s[46])/44 - (17131*s[47])/792 + 
       (15013*s[48])/396 - (60257*s[49])/792 + (21347*s[50])/132 - 
       (904*s[51])/99 - (1015*s[52])/396 - (5435*s[53])/44 - (801*s[54])/22 - 
       (231025*s[55])/264 - (142081*s[56])/792 - (874523*s[57])/2376 - 
       (152146*s[58])/891 + (1550177*s[59])/7128 + (2242091*s[60])/1188 - 
       (13363435*s[61])/128304 - s[71]/2 + s[74]/4 - s[75]/4 - 6*s[79] + 
       (37*s[80])/6 + 6*s[85]) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]^3*
      (s[2]/2 + (35*s[3])/16 + (21*s[4])/32 + (449*s[5])/44 + 
       (7269*s[6])/352 + (2113421*s[7])/12672 - (106433*s[8])/19008 - 
       (244345*s[9])/1728 - (120011*s[10])/1728 - (2211593*s[11])/12672 - 
       (1083785*s[12])/6336 - (405359*s[13])/4224 - (967421*s[14])/12672 - 
       (95017*s[15])/384 - (651329*s[16])/2112 - (3621241*s[17])/12672 - 
       (152885*s[18])/5184 - (96203*s[19])/2592 - (5566999*s[20])/14256 - 
       (16945781*s[21])/114048 + (9809653*s[22])/114048 + 
       (30079*s[23])/1056 + (6176419*s[24])/28512 - (101937505*s[25])/
        513216 + (65173531*s[26])/513216 + s[32]/8 + (3*s[33])/8 + s[34]/2 + 
       s[35]/2 + (5*s[36])/12 - (35*s[37])/16 + s[38]/2 - (13*s[39])/16 + 
       (151*s[40])/48 - (63*s[41])/16 - (31*s[42])/12 + (7787*s[43])/528 - 
       (6803*s[44])/528 + (4333*s[45])/132 - (30845*s[46])/176 - 
       (44035*s[47])/3168 + (118259*s[48])/3168 - (463561*s[49])/6336 + 
       (77603*s[50])/528 - (19189*s[51])/6336 - (7993*s[52])/1584 - 
       (6781*s[53])/66 - (8103*s[54])/352 - (758083*s[55])/1056 - 
       (1090193*s[56])/6336 - (2340245*s[57])/9504 - (9498661*s[58])/57024 + 
       (9996307*s[59])/57024 + (63695773*s[60])/38016 - 
       (25011131*s[61])/256608 + s[70]/2 + s[74]/8 - s[75]/8 - s[77]/2 - 
       s[79] + s[80]/6 + (267*s[82])/8 + 6*s[85]) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      (s[2]/2 + (27*s[3])/8 - (105*s[4])/16 + (1295*s[5])/132 + 
       (6725*s[6])/528 + (85933*s[7])/1056 + (15355*s[8])/4752 - 
       (28309*s[9])/432 - (21731*s[10])/432 - (237659*s[11])/3168 - 
       (170233*s[12])/3168 - (15527*s[13])/792 - (31843*s[14])/396 - 
       (44735*s[15])/288 - (134999*s[16])/792 - (80857*s[17])/396 - 
       (52777*s[18])/2592 - (56063*s[19])/2592 - (420215*s[20])/1782 - 
       (2905769*s[21])/28512 + (537941*s[22])/14256 - (202805*s[23])/3168 + 
       (1827869*s[24])/14256 - (8154997*s[25])/128304 + 
       (16827683*s[26])/256608 - s[30]/2 + s[34]/2 + (49*s[35])/24 + 
       (7*s[36])/6 - (10*s[37])/9 - 4*s[38] + (155*s[39])/8 - 
       (457*s[40])/24 + (127*s[41])/8 - (97*s[42])/3 - (359*s[43])/132 + 
       (1079*s[44])/176 + (3437*s[45])/132 - (3307*s[46])/44 - 
       (32467*s[47])/1584 + (54521*s[48])/1584 + (23213*s[49])/3168 + 
       (2158*s[50])/33 - (27725*s[51])/1056 - (29423*s[52])/1584 - 
       (91217*s[53])/1584 - (4331*s[54])/528 - (80725*s[55])/176 - 
       (368779*s[56])/3168 - (2118211*s[57])/4752 + (275485*s[58])/28512 - 
       (643*s[59])/28512 + (15622843*s[60])/19008 - (4792175*s[61])/64152 + 
       s[74]/4 - s[75]/4 - 4*s[79] + (2*s[80])/3 + 34*s[82] + 6*s[85]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((-3*s[2])/2 - (81*s[3])/8 + (3323*s[4])/16 + (26431*s[5])/176 + 
       (21465*s[6])/88 + (1131759*s[7])/352 - (66719*s[8])/264 - 
       (133289*s[9])/48 - (41065*s[10])/48 - (1224387*s[11])/352 - 
       (326881*s[12])/88 - (794073*s[13])/352 - (104911*s[14])/352 - 
       (149463*s[15])/32 - (961567*s[16])/176 - (1546531*s[17])/352 - 
       (55639*s[18])/144 - (100595*s[19])/144 - (10108475*s[20])/1584 - 
       (6935011*s[21])/3168 + (5430905*s[22])/3168 + (143189*s[23])/44 + 
       (3025733*s[24])/792 - (129003697*s[25])/28512 + 
       (67924009*s[26])/28512 - (5*s[33])/4 - 6*s[34] - 12*s[35] - 
       (241*s[36])/12 + (815*s[37])/24 + (269*s[38])/2 - (7005*s[39])/16 + 
       (22411*s[40])/48 - (5989*s[41])/16 + (29135*s[42])/48 + 
       (239729*s[43])/528 - (405367*s[44])/1056 + (252133*s[45])/528 - 
       (312727*s[46])/88 + (403613*s[47])/3168 + (56255*s[48])/3168 - 
       (6169199*s[49])/3168 + (94433*s[50])/33 + (1226383*s[51])/3168 + 
       (927901*s[52])/3168 - (561089*s[53])/264 - (865*s[54])/22 - 
       (14179937*s[55])/1056 - (9126817*s[56])/3168 + (1722829*s[57])/2376 - 
       (136042721*s[58])/28512 + (154510361*s[59])/28512 + 
       (586315703*s[60])/19008 - (84167729*s[61])/64152 - (3*s[71])/2 - 
       (3*s[74])/4 + (3*s[75])/4 + 44*s[79] + (143*s[80])/12 + 90*s[82] + 
       6*s[85]) + HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((-3*s[2])/2 - (59*s[3])/4 + (1357*s[4])/8 + (8577*s[5])/44 + 
       (2863*s[6])/11 + (5149693*s[7])/1584 - (78875*s[8])/297 - 
       (150767*s[9])/54 - (197869*s[10])/216 - (2715617*s[11])/792 - 
       (5632199*s[12])/1584 - (1099253*s[13])/528 - (724777*s[14])/1584 - 
       (233069*s[15])/48 - (245963*s[16])/44 - (3760909*s[17])/792 - 
       (282679*s[18])/648 - (438827*s[19])/648 - (5874820*s[20])/891 - 
       (33877093*s[21])/14256 + (24367235*s[22])/14256 + 
       (1619245*s[23])/528 + (53820467*s[24])/14256 - 
       (557883811*s[25])/128304 + (308042587*s[26])/128304 + (7*s[30])/2 - 
       (3*s[34])/2 - 12*s[35] - (241*s[36])/12 + (815*s[37])/24 + 
       (269*s[38])/2 - (7005*s[39])/16 + (22411*s[40])/48 - (5989*s[41])/16 + 
       (29135*s[42])/48 + (239729*s[43])/528 - (405367*s[44])/1056 + 
       (252133*s[45])/528 - (312727*s[46])/88 + (403613*s[47])/3168 + 
       (56255*s[48])/3168 - (6169199*s[49])/3168 + (94433*s[50])/33 + 
       (1226383*s[51])/3168 + (927901*s[52])/3168 - (561089*s[53])/264 - 
       (865*s[54])/22 - (14179937*s[55])/1056 - (9126817*s[56])/3168 + 
       (1722829*s[57])/2376 - (136042721*s[58])/28512 + 
       (154510361*s[59])/28512 + (586315703*s[60])/19008 - 
       (84167729*s[61])/64152 - (3*s[71])/2 - (3*s[74])/4 + (3*s[75])/4 + 
       44*s[79] + (143*s[80])/12 + 90*s[82] + 6*s[85]) + 
     HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-3*s[2])/2 - (391*s[3])/4 - (983*s[4])/8 - (513*s[5])/22 - 
       (4023*s[6])/11 - (2117699*s[7])/1584 + (40499*s[8])/396 + 
       (18107*s[9])/18 + (12511*s[10])/72 + (77339*s[11])/44 + 
       (1200965*s[12])/528 + (2250025*s[13])/1584 + (28687*s[14])/176 + 
       (156029*s[15])/144 + (209128*s[16])/99 + (87200*s[17])/99 + 
       (3649*s[18])/8 - (5129*s[19])/72 + (346933*s[20])/132 + 
       (5278505*s[21])/4752 - (3208373*s[22])/4752 - (3937667*s[23])/1584 - 
       (6309953*s[24])/4752 + (94265849*s[25])/42768 - 
       (57079361*s[26])/42768 + 14*s[30] - (3*s[34])/2 - 6*s[35] - 
       (25*s[36])/12 - (79*s[37])/8 - 115*s[38] + (4511*s[39])/16 - 
       (12569*s[40])/48 + (2055*s[41])/16 - (16117*s[42])/48 - 
       (110491*s[43])/528 + (182849*s[44])/1056 - (3401*s[45])/176 + 
       (214121*s[46])/264 - (470275*s[47])/3168 - (232345*s[48])/3168 + 
       (2334385*s[49])/3168 - (5147*s[50])/66 - (616793*s[51])/3168 - 
       (1033427*s[52])/3168 - (110981*s[53])/792 - (33817*s[54])/66 - 
       (855233*s[55])/1056 + (2959087*s[56])/3168 - (7491833*s[57])/1188 + 
       (85861295*s[58])/28512 - (65819879*s[59])/28512 - 
       (85513633*s[60])/19008 + (9991279*s[61])/32076 + (3*s[62])/2 - 
       4*s[68] + 10*s[69] - (3*s[71])/2 - (3*s[74])/4 + (3*s[75])/4 + 
       26*s[76] - 4*s[77] - 14*s[78] + 64*s[79] - (155*s[80])/4 + 126*s[82] + 
       6*s[85]) + HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-69*s[2])/2 + (243*s[3])/8 + (55*s[4])/16 + (8139*s[5])/176 - 
       (10349*s[6])/88 + (57135*s[7])/352 + (68677*s[8])/2376 - 
       (64523*s[9])/432 - (206341*s[10])/432 + (704417*s[11])/3168 + 
       (78740*s[12])/99 + (2804279*s[13])/3168 - (2053663*s[14])/3168 - 
       (449543*s[15])/288 - (1454495*s[16])/1584 - (6584911*s[17])/3168 - 
       (9727*s[18])/1296 - (425183*s[19])/1296 - (19987283*s[20])/14256 - 
       (15357259*s[21])/28512 + (989993*s[22])/28512 - (1080259*s[23])/792 + 
       (522055*s[24])/891 + (148966607*s[25])/256608 - 
       (2090351*s[26])/256608 - 4*s[27] - 26*s[31] - (141*s[33])/8 + 
       39*s[34] - 6*s[35] - (25*s[36])/12 - (79*s[37])/8 - 115*s[38] + 
       (4511*s[39])/16 - (12569*s[40])/48 + (2055*s[41])/16 - 
       (16117*s[42])/48 - (110491*s[43])/528 + (182849*s[44])/1056 - 
       (3401*s[45])/176 + (214121*s[46])/264 - (470275*s[47])/3168 - 
       (232345*s[48])/3168 + (2334385*s[49])/3168 - (5147*s[50])/66 - 
       (616793*s[51])/3168 - (1033427*s[52])/3168 - (110981*s[53])/792 - 
       (33817*s[54])/66 - (855233*s[55])/1056 + (2959087*s[56])/3168 - 
       (7491833*s[57])/1188 + (85861295*s[58])/28512 - 
       (65819879*s[59])/28512 - (85513633*s[60])/19008 + 
       (9991279*s[61])/32076 + (3*s[62])/2 - 4*s[68] + 10*s[69] - 
       (3*s[71])/2 - (3*s[74])/4 + (3*s[75])/4 + 26*s[76] - 4*s[77] - 
       14*s[78] + 64*s[79] - (155*s[80])/4 + 126*s[82] + 6*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((5*s[2])/9 + (15*s[3])/4 - (47*s[4])/24 + (343*s[5])/264 + 
       (111829*s[6])/3168 + (1238921*s[7])/28512 + (413045*s[8])/85536 - 
       (187871*s[9])/7776 - (42257*s[10])/3888 - (2883703*s[11])/57024 - 
       (2818889*s[12])/57024 - (22521*s[13])/352 - (62179*s[14])/891 - 
       (37369*s[15])/864 - (47345*s[16])/594 - (4926179*s[17])/57024 - 
       (142235*s[18])/11664 + (49727*s[19])/11664 - (22586933*s[20])/256608 - 
       (1118303*s[21])/16038 + (3640039*s[22])/256608 - (173039*s[23])/2112 + 
       (33215777*s[24])/513216 - (191349253*s[25])/4618944 + 
       (289876717*s[26])/4618944 - (5*s[30])/9 + (5*s[34])/9 + (20*s[35])/9 + 
       (35*s[36])/27 + (71*s[37])/216 - (25*s[38])/6 + (1171*s[39])/72 - 
       (3433*s[40])/216 + (931*s[41])/72 - (1523*s[42])/54 + 
       (7573*s[43])/594 + (10621*s[44])/1188 + (36281*s[45])/2376 - 
       (36335*s[46])/792 - (587419*s[47])/28512 + (1894247*s[48])/28512 - 
       (109867*s[49])/14256 - (38563*s[50])/4752 - (579001*s[51])/14256 - 
       (63077*s[52])/7128 - (2323*s[53])/1584 + (86303*s[54])/1584 - 
       (534437*s[55])/3168 - (1094497*s[56])/7128 - (9964615*s[57])/42768 - 
       (4107319*s[58])/128304 + (1719313*s[59])/128304 + 
       (8705317*s[60])/21384 - (35001617*s[61])/577368 + (5*s[74])/18 - 
       (5*s[75])/18 - (40*s[79])/9 + (20*s[80])/27 + (251*s[82])/12 + 
       (20*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]^2*
      ((13*s[2])/24 - (7*s[3])/2 + (7*s[4])/2 + (137*s[5])/192 + 
       (69*s[6])/64 + (1399*s[7])/192 + (14369*s[8])/1728 - 
       (14341*s[9])/1728 + (25645*s[10])/1728 - (329*s[11])/576 + 
       (481*s[12])/288 - (11081*s[13])/576 - (2399*s[14])/576 + 
       (323*s[15])/72 + (10877*s[16])/288 + (3745*s[17])/144 + 
       (67693*s[18])/5184 - (9961*s[19])/1296 + (63251*s[20])/2592 + 
       (97049*s[21])/2592 + (3961*s[22])/5184 - (36965*s[23])/576 + 
       (47437*s[24])/5184 - (1787785*s[25])/93312 - (1568279*s[26])/93312 + 
       s[29]/2 + s[30]/4 + s[31]/2 + s[32]/2 + (235*s[33])/96 - 
       (43*s[34])/24 + (31*s[35])/24 + (421*s[36])/72 + (605*s[37])/288 - 
       (77*s[38])/48 + (835*s[39])/32 - (8299*s[40])/288 + (1091*s[41])/48 - 
       (3227*s[42])/72 - (14525*s[43])/3168 + (148747*s[44])/6336 + 
       (143653*s[45])/6336 - (24141*s[46])/704 - (292445*s[47])/19008 + 
       (618421*s[48])/19008 + (1434551*s[49])/19008 + (1667*s[50])/1584 - 
       (474217*s[51])/19008 - (110125*s[52])/19008 - (93493*s[53])/6336 + 
       (25461*s[54])/352 - (464681*s[55])/2112 - (2366921*s[56])/19008 - 
       (14786567*s[57])/28512 + (2001817*s[58])/21384 - 
       (21825359*s[59])/171072 + (17829683*s[60])/57024 - 
       (159837929*s[61])/3079296 - s[62]/16 - s[67]/2 + s[68]/2 - s[69] + 
       s[70] - (15*s[71])/16 + s[72]/2 - s[73]/2 + s[74]/12 - s[75]/12 - 
       s[76] + s[77]/4 + (11*s[79])/3 - (79*s[80])/144 - (33*s[82])/2 + 
       3*s[84] + 7*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]^2*((91*s[2])/24 - (33*s[3])/4 - (425*s[4])/16 + 
       (1851*s[5])/176 + (19277*s[6])/1056 + (132623*s[7])/9504 + 
       (668579*s[8])/28512 - (59321*s[9])/2592 - (26887*s[10])/648 + 
       (145559*s[11])/19008 + (912937*s[12])/19008 + (146131*s[13])/3168 - 
       (413675*s[14])/2376 - (7741*s[15])/288 - (88507*s[16])/3168 - 
       (2230295*s[17])/19008 - (225991*s[18])/7776 + (203209*s[19])/7776 - 
       (14783471*s[20])/85536 - (8567459*s[21])/85536 + 
       (501949*s[22])/85536 - (2000287*s[23])/6336 + (6350837*s[24])/171072 + 
       (142449827*s[25])/1539648 + (21741691*s[26])/1539648 - (5*s[30])/12 + 
       s[31]/2 + s[32]/4 - (7*s[33])/16 + (5*s[34])/12 + (31*s[35])/24 + 
       (421*s[36])/72 + (989*s[37])/288 - (85*s[38])/48 + (3305*s[39])/96 - 
       (10699*s[40])/288 + (1499*s[41])/48 - (4283*s[42])/72 - 
       (28733*s[43])/3168 + (165595*s[44])/6336 + (101797*s[45])/6336 + 
       (18483*s[46])/704 - (412073*s[47])/19008 + (807673*s[48])/19008 + 
       (1650083*s[49])/19008 - (63955*s[50])/1584 - (673021*s[51])/19008 - 
       (320653*s[52])/19008 + (115211*s[53])/6336 + (17685*s[54])/352 - 
       (42125*s[55])/2112 - (935525*s[56])/19008 - (18112031*s[57])/28512 + 
       (8976017*s[58])/42768 - (40887395*s[59])/171072 - 
       (3155455*s[60])/57024 - (49809401*s[61])/3079296 - s[62]/16 - 
       s[67]/2 + s[68]/2 - s[69] + s[70] - (15*s[71])/16 + s[72]/2 - 
       s[73]/2 + s[74]/12 - s[75]/12 - s[76] + s[77]/4 + (11*s[79])/3 - 
       (79*s[80])/144 - (21*s[82])/2 + 3*s[84] + 7*s[85]) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((41*s[2])/24 + (289*s[3])/48 + (7235*s[4])/32 + (173755*s[5])/1056 + 
       (202567*s[6])/528 + (22332071*s[7])/6336 - (2170639*s[8])/7128 - 
       (7699925*s[9])/2592 - (2241529*s[10])/2592 - (73931287*s[11])/19008 - 
       (10228639*s[12])/2376 - (49265497*s[13])/19008 - 
       (6991189*s[14])/19008 - (7877261*s[15])/1728 - (55574891*s[16])/9504 - 
       (83453923*s[17])/19008 - (2653829*s[18])/3888 - (112681*s[19])/243 - 
       (294979645*s[20])/42768 - (423874819*s[21])/171072 + 
       (317114813*s[22])/171072 + (42304771*s[23])/9504 + 
       (158445467*s[24])/42768 - (7682934679*s[25])/1539648 + 
       (4145540191*s[26])/1539648 + s[27]/12 + (2*s[30])/3 + (4*s[31])/3 + 
       s[32]/24 - (49*s[33])/48 - (5*s[34])/2 - (43*s[35])/12 - 
       (349*s[36])/36 + (1109*s[37])/48 + (3425*s[38])/24 - 
       (13741*s[39])/24 + (45941*s[40])/72 - (23587*s[41])/48 + 
       (119057*s[42])/144 + (379033*s[43])/792 - (3351845*s[44])/6336 + 
       (1732651*s[45])/3168 - (13790573*s[46])/3168 + (4045111*s[47])/19008 + 
       (761743*s[48])/19008 - (42116581*s[49])/19008 + (2644885*s[50])/792 + 
       (10953167*s[51])/19008 + (8715845*s[52])/19008 - 
       (21918877*s[53])/9504 + (88195*s[54])/792 - (92025161*s[55])/6336 - 
       (24361889*s[56])/6336 + (13277591*s[57])/3168 - 
       (390415547*s[58])/57024 + (392147627*s[59])/57024 + 
       (4038228361*s[60])/114048 - (239185789*s[61])/128304 - s[66]/2 + 
       s[67]/2 - s[68]/2 + (3*s[69])/2 + s[70]/2 + (3*s[71])/8 + 
       (13*s[72])/6 + s[73]/2 - (79*s[74])/24 + (79*s[75])/24 - 
       (13*s[76])/6 - (3*s[77])/4 + (11*s[78])/6 + (105*s[79])/2 - 
       (1159*s[80])/72 + (71*s[82])/2 - s[83]/2 + (53*s[84])/2 + 7*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((193*s[2])/144 - (1217*s[3])/96 + (12481*s[4])/192 + 
       (294373*s[5])/3168 + (393769*s[6])/2112 + (60389273*s[7])/38016 - 
       (5788691*s[8])/57024 - (1797733*s[9])/1296 - (603035*s[10])/1296 - 
       (64769843*s[11])/38016 - (16949617*s[12])/9504 - 
       (13836571*s[13])/12672 - (14732771*s[14])/38016 - 
       (7518775*s[15])/3456 - (8682727*s[16])/3168 - (86432089*s[17])/38016 - 
       (2155177*s[18])/7776 - (3705205*s[19])/15552 - 
       (563916445*s[20])/171072 - (428175041*s[21])/342144 + 
       (290816473*s[22])/342144 + (1057549*s[23])/792 + 
       (75709349*s[24])/42768 - (3213251113*s[25])/1539648 + 
       (1874836417*s[26])/1539648 + (13*s[30])/8 - s[31]/6 - (3*s[32])/8 + 
       (35*s[33])/72 - (23*s[34])/72 - (325*s[35])/72 - (1291*s[36])/216 - 
       (895*s[37])/432 + (1123*s[38])/24 - (13675*s[39])/72 + 
       (5780*s[40])/27 - (26249*s[41])/144 + (7447*s[42])/27 + 
       (19433*s[43])/108 - (306653*s[44])/1728 + (177587*s[45])/864 - 
       (461527*s[46])/288 + (269101*s[47])/5184 + (251869*s[48])/5184 - 
       (4125721*s[49])/5184 + (537017*s[50])/432 + (996611*s[51])/5184 + 
       (781685*s[52])/5184 - (371465*s[53])/432 + (827*s[54])/72 - 
       (1058647*s[55])/192 - (7657703*s[56])/5184 + (10119091*s[57])/7776 - 
       (115815667*s[58])/46656 + (118061509*s[59])/46656 + 
       (411561961*s[60])/31104 - (293780275*s[61])/419904 - s[68]/4 + 
       s[69]/4 + s[70]/12 - (5*s[71])/6 + (5*s[72])/12 + (3*s[73])/4 - 
       (121*s[74])/144 + (121*s[75])/144 + (13*s[76])/12 - (5*s[77])/24 + 
       s[78]/12 + (353*s[79])/18 + (203*s[80])/216 + (25*s[82])/12 + 
       s[83]/4 + (17*s[84])/2 + (22*s[85])/3) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*Omega2[v, w, u]*((2*s[2])/3 + (9*s[3])/2 - 
       (55*s[4])/4 + (799*s[5])/66 + (3013*s[6])/132 + (55849*s[7])/792 + 
       (12521*s[8])/1188 - (3127*s[9])/54 - (1402*s[10])/27 - 
       (50071*s[11])/792 - (14893*s[12])/396 - (6631*s[13])/264 - 
       (100357*s[14])/792 - (8419*s[15])/72 - (1790*s[16])/11 - 
       (164843*s[17])/792 - (6655*s[18])/324 - (1307*s[19])/81 - 
       (208646*s[20])/891 - (804007*s[21])/7128 + (224099*s[22])/7128 - 
       (25367*s[23])/132 + (108106*s[24])/891 - (1131569*s[25])/32076 + 
       (2018483*s[26])/32076 + (2*s[33])/3 + (4*s[34])/3 + (8*s[35])/3 + 
       (14*s[36])/9 + (28*s[37])/9 - 6*s[38] + (163*s[39])/6 - 
       (481*s[40])/18 + (127*s[41])/6 - (827*s[42])/18 + (445*s[43])/198 + 
       (2833*s[44])/396 + (2617*s[45])/99 - (4175*s[46])/66 - 
       (35597*s[47])/1188 + (80497*s[48])/1188 - (1069*s[49])/297 + 
       (4229*s[50])/99 - (26171*s[51])/594 - (28123*s[52])/1188 - 
       (7709*s[53])/198 - (373*s[54])/66 - (51967*s[55])/132 - 
       (81061*s[56])/594 - (972011*s[57])/1782 + (280891*s[58])/5346 - 
       (260191*s[59])/5346 + (2869193*s[60])/3564 - (7324615*s[61])/96228 + 
       s[74]/3 - s[75]/3 - (16*s[79])/3 + (8*s[80])/9 + 46*s[82] + 8*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Omega2[v, w, u]*
      ((2*s[2])/3 + (9*s[3])/2 - (35*s[4])/4 + (392*s[5])/33 + 
       (889*s[6])/132 + (71393*s[7])/594 + (4475*s[8])/1782 - 
       (31471*s[9])/324 - (26651*s[10])/324 - (33442*s[11])/297 - 
       (23621*s[12])/297 - (5131*s[13])/396 - (112729*s[14])/1188 - 
       (497*s[15])/2 - (101435*s[16])/396 - (364619*s[17])/1188 - 
       (15371*s[18])/972 - (53161*s[19])/972 - (1886135*s[20])/5346 - 
       (1387459*s[21])/10692 + (155801*s[22])/2673 - (39925*s[23])/396 + 
       (2356229*s[24])/10692 - (5201171*s[25])/48114 + 
       (8123497*s[26])/96228 - (2*s[30])/3 + (2*s[34])/3 + (8*s[35])/3 + 
       (14*s[36])/9 - (20*s[37])/9 - 6*s[38] + (163*s[39])/6 - 
       (481*s[40])/18 + (127*s[41])/6 - (827*s[42])/18 - (881*s[43])/198 + 
       (149*s[44])/198 + (3694*s[45])/99 - (7415*s[46])/66 - 
       (10313*s[47])/297 + (23759*s[48])/594 - (12985*s[49])/1188 + 
       (12143*s[50])/99 - (38827*s[51])/1188 - (10261*s[52])/297 - 
       (10019*s[53])/99 - (1367*s[54])/22 - (23932*s[55])/33 - 
       (130325*s[56])/1188 - (633178*s[57])/891 + (576479*s[58])/10692 - 
       (69761*s[59])/10692 + (9706861*s[60])/7128 - (4528481*s[61])/48114 + 
       s[74]/3 - s[75]/3 - (16*s[79])/3 + (8*s[80])/9 + 54*s[82] + 8*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-85*s[2])/3 - (1141*s[3])/12 - (3937*s[4])/24 - (21185*s[5])/66 - 
       (155017*s[6])/264 - (7333679*s[7])/1584 + (49619*s[8])/264 + 
       (23687*s[9])/6 + (8977*s[10])/6 + (875735*s[11])/176 + 
       (1332263*s[12])/264 + (4784227*s[13])/1584 + (236873*s[14])/176 + 
       (975833*s[15])/144 + (3231421*s[16])/396 + (11463401*s[17])/1584 + 
       (89815*s[18])/108 + (204301*s[19])/216 + (23433031*s[20])/2376 + 
       (18141157*s[21])/4752 - (3762463*s[22])/1584 - (2561167*s[23])/792 - 
       (4494613*s[24])/792 + (16083889*s[25])/2673 - (9683062*s[26])/2673 + 
       2*s[27] + 2*s[29] + (10*s[30])/3 - (7*s[31])/3 - (14*s[32])/3 - 
       (47*s[33])/12 + (13*s[34])/3 + s[35]/3 - 16*s[36] - (59*s[37])/3 - 
       123*s[38] + (1012*s[39])/3 - (1078*s[40])/3 + (779*s[41])/3 - 
       408*s[42] - (12962*s[43])/33 + (85981*s[44])/264 - (22003*s[45])/44 + 
       (138793*s[46])/44 - (36365*s[47])/792 - (141965*s[48])/792 + 
       (1290803*s[49])/792 - (76898*s[50])/33 - (218269*s[51])/792 - 
       (198961*s[52])/792 + (331933*s[53])/198 - (13471*s[54])/66 + 
       (8745181*s[55])/792 + (239501*s[56])/88 - (266381*s[57])/396 + 
       (3450145*s[58])/792 - (399615*s[59])/88 - (128572691*s[60])/4752 + 
       (29766895*s[61])/21384 + 2*s[64] - 3*s[66] + 2*s[67] - 2*s[68] + 
       12*s[69] - 6*s[70] + (10*s[72])/3 - 8*s[73] - (17*s[74])/6 + 
       (17*s[75])/6 - (4*s[76])/3 + 14*s[77] + (26*s[78])/3 + 18*s[79] + 
       7*s[80] - 6*s[82] - 4*s[83] - 4*s[84] + 8*s[85]) + 
     HPL[{0, 1}, 1 - u]*M1[v, u, w]*((8*s[2])/3 - (7*s[3])/12 + 
       (220*s[4])/3 + (12539*s[5])/132 + (13697*s[6])/66 + 
       (2848819*s[7])/1584 - (137039*s[8])/1188 - (332141*s[9])/216 - 
       (15071*s[10])/27 - (3088027*s[11])/1584 - (407893*s[12])/198 - 
       (640007*s[13])/528 - (689305*s[14])/1584 - (118729*s[15])/48 - 
       (68609*s[16])/22 - (4067351*s[17])/1584 - (225709*s[18])/648 - 
       (176387*s[19])/648 - (27157205*s[20])/7128 - (20880823*s[21])/14256 + 
       (13527095*s[22])/14256 + (52460*s[23])/33 + (7278149*s[24])/3564 - 
       (302934241*s[25])/128304 + (181106065*s[26])/128304 - s[30]/6 - 
       s[31]/3 - (2*s[32])/3 - (13*s[33])/24 + (5*s[34])/6 - (14*s[35])/3 - 
       (35*s[36])/6 - (35*s[37])/12 + (101*s[38])/2 - (4813*s[39])/24 + 
       (1779*s[40])/8 - (4271*s[41])/24 + (6895*s[42])/24 + 
       (14449*s[43])/88 - (32423*s[44])/176 + (14401*s[45])/88 - 
       (186071*s[46])/132 + (39139*s[47])/528 + (1687*s[48])/176 - 
       (409313*s[49])/528 + (11953*s[50])/11 + (106385*s[51])/528 + 
       (28111*s[52])/176 - (144055*s[53])/198 - (3739*s[54])/132 - 
       (7270963*s[55])/1584 - (1935229*s[56])/1584 + (2070469*s[57])/1188 - 
       (33259229*s[58])/14256 + (33470045*s[59])/14256 + 
       (36510733*s[60])/3168 - (4741424*s[61])/8019 - s[66] + s[67] + 
       2*s[69] + (4*s[72])/3 - (4*s[74])/3 + (4*s[75])/3 + (5*s[76])/3 - 
       s[77] + (8*s[78])/3 + 18*s[79] - (11*s[80])/2 + 18*s[82] - s[83] + 
       2*s[84] + 8*s[85]) + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((31*s[2])/24 + (257*s[3])/48 + (18137*s[4])/96 + 
       (46989*s[5])/352 + (164215*s[6])/528 + (29002679*s[7])/9504 - 
       (823639*s[8])/3168 - (61933*s[9])/24 - (14659*s[10])/18 - 
       (10604975*s[11])/3168 - (240667*s[12])/66 - (20630659*s[13])/9504 - 
       (515413*s[14])/1584 - (445765*s[15])/108 - (6148379*s[16])/1188 - 
       (9553997*s[17])/2376 - (1345969*s[18])/2592 - (655609*s[19])/1296 - 
       (172677815*s[20])/28512 - (61645003*s[21])/28512 + 
       (15280663*s[22])/9504 + (33602057*s[23])/9504 + (5343827*s[24])/1584 - 
       (2200529183*s[25])/513216 + (1190992289*s[26])/513216 + (5*s[30])/6 + 
       (5*s[31])/6 - s[32]/12 + s[33] - (23*s[34])/12 - (53*s[35])/12 - 
       (115*s[36])/18 + (95*s[37])/24 + (313*s[38])/3 - (1713*s[39])/4 + 
       (4280*s[40])/9 - (1114*s[41])/3 + (44759*s[42])/72 + 
       (36142*s[43])/99 - (156907*s[44])/396 + (663715*s[45])/1584 - 
       (5256905*s[46])/1584 + (725111*s[47])/4752 - (42997*s[48])/4752 - 
       (8106269*s[49])/4752 + (257722*s[50])/99 + (2038363*s[51])/4752 + 
       (387979*s[52])/1188 - (2148691*s[53])/1188 - (4244*s[54])/99 - 
       (18064765*s[55])/1584 - (4502983*s[56])/1584 + (2335469*s[57])/792 - 
       (73261867*s[58])/14256 + (75432925*s[59])/14256 + 
       (389971159*s[60])/14256 - (44996081*s[61])/32076 - s[66]/2 + s[67]/2 + 
       s[68]/2 + s[69]/2 + s[70]/2 + (5*s[72])/2 + s[73]/6 - (15*s[74])/8 + 
       (15*s[75])/8 - 2*s[76] - (11*s[77])/12 + (19*s[78])/6 + 42*s[79] - 
       (349*s[80])/36 + (95*s[82])/2 - (5*s[83])/4 + (15*s[84])/2 + 
       8*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      (11*s[2] - (307*s[3])/4 + (2163*s[4])/8 + (4529*s[5])/22 + 
       (35985*s[6])/88 + (7458955*s[7])/1584 - (882995*s[8])/2376 - 
       (112385*s[9])/27 - (102817*s[10])/108 - (8667143*s[11])/1584 - 
       (636280*s[12])/99 - (6327877*s[13])/1584 - (122855*s[14])/1584 - 
       (745517*s[15])/144 - (5783699*s[16])/792 - (785129*s[17])/176 - 
       (294055*s[18])/324 - (318367*s[19])/648 - (62954581*s[20])/7128 - 
       (44291021*s[21])/14256 + (37015873*s[22])/14256 + 
       (4890361*s[23])/792 + (34157945*s[24])/7128 - (454478773*s[25])/
        64152 + (232501495*s[26])/64152 - 4*s[29] + s[30] + 12*s[31] + 
       (9*s[32])/2 + (3*s[33])/4 - 33*s[34] - 6*s[35] - (20*s[36])/3 + 
       (419*s[37])/12 + (593*s[38])/2 - (3825*s[39])/4 + (12323*s[40])/12 - 
       (1507*s[41])/2 + (3898*s[42])/3 + (95497*s[43])/132 - 
       (204749*s[44])/264 + (172231*s[45])/264 - (504437*s[46])/88 + 
       (320959*s[47])/792 - (923*s[48])/792 - (2663257*s[49])/792 + 
       (276557*s[50])/66 + (739655*s[51])/792 + (682271*s[52])/792 - 
       (225945*s[53])/88 + (6841*s[54])/44 - (4275119*s[55])/264 - 
       (3706853*s[56])/792 + (11782393*s[57])/1188 - (36296387*s[58])/3564 + 
       (69310609*s[59])/7128 + (54376087*s[60])/1188 - 
       (285824603*s[61])/128304 - 2*s[64] - s[65] + 2*s[66] + 2*s[67] + 
       2*s[68] + 12*s[70] + s[71]/2 - 6*s[73] - 6*s[74] + (11*s[75])/2 - 
       12*s[76] - 12*s[77] - 24*s[78] + 66*s[79] - (109*s[80])/6 - 
       158*s[82] + (9*s[83])/2 + 15*s[84] + 8*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      (2*s[2] + (283*s[3])/4 + (3769*s[4])/8 + (10841*s[5])/88 + 
       (6817*s[6])/11 + (8351971*s[7])/1584 - (92635*s[8])/198 - 
       (308861*s[9])/72 - (89059*s[10])/72 - (3227783*s[11])/528 - 
       (1864663*s[12])/264 - (7037489*s[13])/1584 + (55003*s[14])/528 - 
       (904531*s[15])/144 - (6845917*s[16])/792 - (9150409*s[17])/1584 - 
       (195437*s[18])/216 - (198937*s[19])/216 - (22774417*s[20])/2376 - 
       (570359*s[21])/176 + (13035047*s[22])/4752 + (5682989*s[23])/792 + 
       (13774987*s[24])/2376 - (115836023*s[25])/14256 + 
       (57704375*s[26])/14256 - 7*s[30] - 2*s[31] + s[32]/2 - 3*s[33] + 
       2*s[34] - 6*s[35] - (20*s[36])/3 + (419*s[37])/12 + (593*s[38])/2 - 
       (3825*s[39])/4 + (12323*s[40])/12 - (1507*s[41])/2 + (3898*s[42])/3 + 
       (95497*s[43])/132 - (204749*s[44])/264 + (172231*s[45])/264 - 
       (504437*s[46])/88 + (320959*s[47])/792 - (923*s[48])/792 - 
       (2663257*s[49])/792 + (276557*s[50])/66 + (739655*s[51])/792 + 
       (682271*s[52])/792 - (225945*s[53])/88 + (6841*s[54])/44 - 
       (4275119*s[55])/264 - (3706853*s[56])/792 + (11782393*s[57])/1188 - 
       (36296387*s[58])/3564 + (69310609*s[59])/7128 + 
       (54376087*s[60])/1188 - (285824603*s[61])/128304 - 2*s[64] - s[65] + 
       2*s[66] + 2*s[67] + 2*s[68] + 12*s[70] + s[71]/2 - 6*s[73] - 6*s[74] + 
       (11*s[75])/2 - 12*s[76] - 12*s[77] - 24*s[78] + 66*s[79] - 
       (109*s[80])/6 - 158*s[82] + (9*s[83])/2 + 15*s[84] + 8*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((11*s[2])/2 - (113*s[3])/6 - (2569*s[4])/12 - (605*s[5])/6 - 
       (3911*s[6])/12 - (66412*s[7])/27 + (28279*s[8])/108 + 
       (110999*s[9])/54 + (20299*s[10])/54 + (67427*s[11])/24 + 
       (118417*s[12])/36 + (443635*s[13])/216 - (479*s[14])/24 + 
       (161317*s[15])/54 + (849061*s[16])/216 + (553889*s[17])/216 + 
       (27967*s[18])/54 + (673*s[19])/4 + (241471*s[20])/54 + 
       (1073051*s[21])/648 - (837797*s[22])/648 - (958757*s[23])/216 - 
       (1549373*s[24])/648 + (10899745*s[25])/2916 - (2927753*s[26])/1458 - 
       s[30]/3 - (4*s[31])/3 + s[32] - (5*s[33])/2 + (19*s[34])/3 + 
       24*s[35] + (13*s[36])/9 - (869*s[37])/36 - (410*s[38])/3 + 
       (1181*s[39])/2 - (12101*s[40])/18 + (3139*s[41])/6 - 
       (15433*s[42])/18 - (108817*s[43])/198 + (458347*s[44])/792 - 
       (399985*s[45])/792 + (3452411*s[46])/792 - (92537*s[47])/594 - 
       (39454*s[48])/297 + (722779*s[49])/297 - (652453*s[50])/198 - 
       (155594*s[51])/297 - (1031071*s[52])/2376 + (5578681*s[53])/2376 - 
       (49525*s[54])/198 + (488695*s[55])/33 + (518417*s[56])/132 - 
       (1272169*s[57])/297 + (49033691*s[58])/7128 - (6427471*s[59])/891 - 
       (511665923*s[60])/14256 + (79242403*s[61])/42768 + (7*s[62])/2 + 
       2*s[66] - 2*s[67] + 9*s[68] - 7*s[69] + 6*s[70] - 2*s[72] - 
       (10*s[73])/3 - s[74]/2 + s[75]/2 + s[76] + (16*s[77])/3 - 
       (25*s[78])/3 - 52*s[79] + (289*s[80])/18 + 12*s[82] + 4*s[83] + 
       24*s[84] + 8*s[85]) + HPL[{0, 1}, 1 - v]*M1[u, v, w]*
      ((13*s[2])/2 + (41*s[3])/12 + (7483*s[4])/24 + (27397*s[5])/132 + 
       (71153*s[6])/132 + (2898113*s[7])/594 - (955435*s[8])/2376 - 
       (444949*s[9])/108 - (269359*s[10])/216 - (8541983*s[11])/1584 - 
       (9406967*s[12])/1584 - (8544373*s[13])/2376 - (51461*s[14])/99 - 
       (692119*s[15])/108 - (9723893*s[16])/1188 - (29392783*s[17])/4752 - 
       (290773*s[18])/324 - (226463*s[19])/324 - (68356159*s[20])/7128 - 
       (8267755*s[21])/2376 + (4586191*s[22])/1782 + (27861013*s[23])/4752 + 
       (75116069*s[24])/14256 - (294851395*s[25])/42768 + 
       (160966351*s[26])/42768 - s[29] + (2*s[30])/3 + (8*s[31])/3 - 
       (5*s[32])/2 - (3*s[33])/4 - (17*s[34])/3 - 4*s[35] - (161*s[36])/9 + 
       (239*s[37])/18 + (574*s[38])/3 - (2975*s[39])/4 + (29603*s[40])/36 - 
       (7813*s[41])/12 + (38503*s[42])/36 + (255601*s[43])/396 - 
       (1075975*s[44])/1584 + (64894*s[45])/99 - (2150309*s[46])/396 + 
       (1175447*s[47])/4752 + (355067*s[48])/4752 - (13874525*s[49])/4752 + 
       (1647271*s[50])/396 + (3430639*s[51])/4752 + (2817691*s[52])/4752 - 
       (848962*s[53])/297 + (33355*s[54])/396 - (3163569*s[55])/176 - 
       (2490935*s[56])/528 + (13475263*s[57])/2376 - (123299597*s[58])/
        14256 + (125483219*s[59])/14256 + (1260323855*s[60])/28512 - 
       (96507091*s[61])/42768 - 2*s[66] + 2*s[67] - 2*s[68] + 6*s[69] - 
       2*s[70] - s[71] + 4*s[72] - (4*s[73])/3 - 4*s[74] + 4*s[75] - 
       2*s[76] - (2*s[77])/3 + (20*s[78])/3 + 58*s[79] - (55*s[80])/9 - 
       48*s[82] - s[83]/2 + 27*s[84] + 8*s[85]) + HPL[{0, 1}, 1 - w]*
      M1[u, v, w]*((19*s[2])/6 + (137*s[3])/12 + (7967*s[4])/24 + 
       (25703*s[5])/132 + (69701*s[6])/132 + (22953343*s[7])/4752 - 
       (122948*s[8])/297 - (876401*s[9])/216 - (65323*s[10])/54 - 
       (2118707*s[11])/396 - (9374561*s[12])/1584 - (17065877*s[13])/4752 - 
       (671477*s[14])/1584 - (2739385*s[15])/432 - (9627467*s[16])/1188 - 
       (3614141*s[17])/594 - (69508*s[18])/81 - (474943*s[19])/648 - 
       (66977749*s[20])/7128 - (15941587*s[21])/4752 + 
       (36231521*s[22])/14256 + (28330471*s[23])/4752 + 
       (74687069*s[24])/14256 - (98383033*s[25])/14256 + 
       (52810159*s[26])/14256 - s[29] + (4*s[30])/3 + (4*s[31])/3 - 
       (5*s[32])/6 - (5*s[33])/4 - (11*s[34])/3 - 4*s[35] - (161*s[36])/9 + 
       (239*s[37])/18 + (574*s[38])/3 - (2975*s[39])/4 + (29603*s[40])/36 - 
       (7813*s[41])/12 + (38503*s[42])/36 + (255601*s[43])/396 - 
       (1075975*s[44])/1584 + (64894*s[45])/99 - (2150309*s[46])/396 + 
       (1175447*s[47])/4752 + (355067*s[48])/4752 - (13874525*s[49])/4752 + 
       (1647271*s[50])/396 + (3430639*s[51])/4752 + (2817691*s[52])/4752 - 
       (848962*s[53])/297 + (33355*s[54])/396 - (3163569*s[55])/176 - 
       (2490935*s[56])/528 + (13475263*s[57])/2376 - (123299597*s[58])/
        14256 + (125483219*s[59])/14256 + (1260323855*s[60])/28512 - 
       (96507091*s[61])/42768 - 2*s[66] + 2*s[67] - 2*s[68] + 6*s[69] - 
       2*s[70] - s[71] + 4*s[72] - (4*s[73])/3 - 4*s[74] + 4*s[75] - 
       2*s[76] - (2*s[77])/3 + (20*s[78])/3 + 58*s[79] - (55*s[80])/9 - 
       48*s[82] - s[83]/2 + 27*s[84] + 8*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((23*s[2])/2 - (793*s[3])/12 + (8735*s[4])/24 + (21875*s[5])/66 + 
       (62769*s[6])/88 + (32202721*s[7])/4752 - (3736231*s[8])/7128 - 
       (1896475*s[9])/324 - (284335*s[10])/162 - (35169733*s[11])/4752 - 
       (19161631*s[12])/2376 - (7636243*s[13])/1584 - (4715779*s[14])/4752 - 
       (1289497*s[15])/144 - (1117397*s[16])/99 - (41079647*s[17])/4752 - 
       (1299845*s[18])/972 - (1525859*s[19])/1944 - (291740621*s[20])/21384 - 
       (218488537*s[21])/42768 + (154845161*s[22])/42768 + 
       (6237379*s[23])/792 + (152157529*s[24])/21384 - 
       (1783591199*s[25])/192456 + (1012640615*s[26])/192456 - (10*s[30])/3 + 
       (16*s[31])/3 - 3*s[32] + s[33]/2 - (37*s[34])/3 - (20*s[35])/3 - 
       (143*s[36])/6 + (37*s[37])/6 + (769*s[38])/3 - (8473*s[39])/8 + 
       (9517*s[40])/8 - (7837*s[41])/8 + (12385*s[42])/8 + 
       (251165*s[43])/264 - (526627*s[44])/528 + (66233*s[45])/66 - 
       (727197*s[46])/88 + (500603*s[47])/1584 + (213701*s[48])/1584 - 
       (6773801*s[49])/1584 + (213241*s[50])/33 + (1703773*s[51])/1584 + 
       (1326265*s[52])/1584 - (1179791*s[53])/264 + (8731*s[54])/66 - 
       (44740973*s[55])/1584 - (11559499*s[56])/1584 + (8247781*s[57])/1188 - 
       (181013969*s[58])/14256 + (186160511*s[59])/14256 + 
       (645657047*s[60])/9504 - (448515107*s[61])/128304 + s[62]/3 - 
       2*s[66] + 2*s[67] - 6*s[68] + 10*s[69] - 2*s[70] - 2*s[71] + 6*s[72] - 
       (2*s[73])/3 - (13*s[74])/2 + (13*s[75])/2 + 4*s[76] - (13*s[77])/3 + 
       (7*s[78])/3 + 116*s[79] - 21*s[80] - 136*s[82] - s[83] + 42*s[84] + 
       8*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((29*s[2])/6 - (1007*s[3])/12 + (4945*s[4])/24 + (18451*s[5])/132 + 
       (83315*s[6])/264 + (16818521*s[7])/4752 - (713903*s[8])/2376 - 
       (338177*s[9])/108 - (48479*s[10])/54 - (6099787*s[11])/1584 - 
       (3336257*s[12])/792 - (12092197*s[13])/4752 - (629713*s[14])/1584 - 
       (1985759*s[15])/432 - (6927115*s[16])/1188 - (20834471*s[17])/4752 - 
       (103225*s[18])/162 - (264185*s[19])/648 - (49566305*s[20])/7128 - 
       (11848021*s[21])/4752 + (27639583*s[22])/14256 + 
       (10039621*s[23])/2376 + (25682621*s[24])/7128 - 
       (13020893*s[25])/2673 + (28131071*s[26])/10692 - (16*s[30])/3 + 
       (8*s[31])/3 + s[32]/3 - s[33]/2 - (25*s[34])/3 + 4*s[35] - 
       (185*s[36])/18 - (227*s[37])/18 + (359*s[38])/3 - (4793*s[39])/8 + 
       (51029*s[40])/72 - (14695*s[41])/24 + (66505*s[42])/72 + 
       (398407*s[43])/792 - (937121*s[44])/1584 + (109327*s[45])/198 - 
       (3774821*s[46])/792 + (810553*s[47])/4752 + (321559*s[48])/4752 - 
       (11263075*s[49])/4752 + (386303*s[50])/99 + (3236591*s[51])/4752 + 
       (2288291*s[52])/4752 - (6266071*s[53])/2376 - (3803*s[54])/198 - 
       (8752151*s[55])/528 - (6736915*s[56])/1584 + (4652867*s[57])/1188 - 
       (34393955*s[58])/4752 + (11750383*s[59])/1584 + 
       (1117826125*s[60])/28512 - (256590515*s[61])/128304 - 2*s[66] + 
       2*s[67] - 10*s[68] + 14*s[69] + 2*s[70] - 2*s[71] + 6*s[72] - 
       (2*s[73])/3 - (13*s[74])/2 + (13*s[75])/2 + 12*s[76] - (37*s[77])/3 - 
       (17*s[78])/3 + 132*s[79] - (401*s[80])/9 - 112*s[82] - s[83] + 
       42*s[84] + 8*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Omega2[u, v, w]*((13*s[2])/3 + (119*s[3])/6 + (1835*s[4])/4 + 
       (13137*s[5])/44 + (104585*s[6])/132 + (4139585*s[7])/594 - 
       (727883*s[8])/1188 - (632881*s[9])/108 - (185801*s[10])/108 - 
       (6075451*s[11])/792 - (6707431*s[12])/792 - (3023353*s[13])/594 - 
       (146809*s[14])/198 - (494093*s[15])/54 - (13841747*s[16])/1188 - 
       (20914229*s[17])/2376 - (109735*s[18])/81 - (145483*s[19])/162 - 
       (48781511*s[20])/3564 - (2950031*s[21])/594 + (13031903*s[22])/3564 + 
       (21110057*s[23])/2376 + (52604449*s[24])/7128 - 
       (23365057*s[25])/2376 + (474121*s[26])/88 - s[30]/3 + 2*s[31] - 
       (7*s[32])/3 - (41*s[33])/12 - (4*s[34])/3 + (2*s[35])/3 - 
       (122*s[36])/9 + (334*s[37])/9 + (689*s[38])/3 - (5899*s[39])/6 + 
       (19777*s[40])/18 - (2527*s[41])/3 + (13072*s[42])/9 + 
       (154619*s[43])/198 - (337747*s[44])/396 + (89887*s[45])/99 - 
       (1438417*s[46])/198 + (505841*s[47])/1188 - (97729*s[48])/1188 - 
       (1037354*s[49])/297 + (1080371*s[50])/198 + (300922*s[51])/297 + 
       (998149*s[52])/1188 - (1131775*s[53])/297 + (42715*s[54])/99 - 
       (9493463*s[55])/396 - (1329929*s[56])/198 + (95741*s[57])/11 - 
       (21404021*s[58])/1782 + (21322889*s[59])/1782 + 
       (205270831*s[60])/3564 - (25766240*s[61])/8019 + 2*s[68] - 2*s[69] - 
       4*s[70] + 4*s[72] - (14*s[74])/3 + (14*s[75])/3 - 4*s[76] + 
       (16*s[77])/3 + (8*s[78])/3 + 104*s[79] - (298*s[80])/9 - 4*s[82] + 
       48*s[84] + 8*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u]*(20*s[2] - (523*s[3])/12 + (5719*s[4])/24 + 
       (10936*s[5])/33 + (168445*s[6])/264 + (28098421*s[7])/4752 - 
       (737303*s[8])/2376 - (560471*s[9])/108 - (191989*s[10])/108 - 
       (3331523*s[11])/528 - (2577961*s[12])/396 - (18453317*s[13])/4752 - 
       (244765*s[14])/176 - (3607735*s[15])/432 - (12102755*s[16])/1188 - 
       (40785961*s[17])/4752 - (2181*s[18])/2 - (180587*s[19])/216 - 
       (9822211*s[20])/792 - (67707595*s[21])/14256 + 
       (45434815*s[22])/14256 + (6326989*s[23])/1188 + 
       (23099557*s[24])/3564 - (245678995*s[25])/32076 + 
       (145321435*s[26])/32076 + s[28]/2 + 3*s[29] + (5*s[30])/3 + 
       (44*s[31])/3 - 10*s[32] + (9*s[33])/2 - (71*s[34])/3 - 5*s[35] - 
       (302*s[36])/9 + (64*s[37])/9 + (415*s[38])/3 - (1267*s[39])/2 + 
       (12883*s[40])/18 - (3587*s[41])/6 + (17471*s[42])/18 + 
       (8551*s[43])/18 - (20015*s[44])/36 + (16331*s[45])/36 - 
       (151663*s[46])/36 + (26047*s[47])/108 - (10787*s[48])/108 - 
       (237271*s[49])/108 + (60787*s[50])/18 + (74075*s[51])/108 + 
       (57923*s[52])/108 - (122899*s[53])/54 + (374*s[54])/9 - 
       (56099*s[55])/4 - (44035*s[56])/12 + (299459*s[57])/54 - 
       (2260099*s[58])/324 + (2312005*s[59])/324 + (2714144*s[60])/81 - 
       (1612763*s[61])/972 + 2*s[64] - 3*s[66] + 2*s[67] - 10*s[68] + 
       12*s[69] - 10*s[70] - 2*s[71] + 6*s[72] - (16*s[73])/3 - 
       (15*s[74])/2 + (15*s[75])/2 - 4*s[76] + (34*s[77])/3 + (26*s[78])/3 + 
       102*s[79] - (31*s[80])/9 - 156*s[82] + s[83] + 54*s[84] + 8*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]^2*
      ((21*s[2])/16 - (829*s[3])/96 + (23425*s[4])/192 + (107017*s[5])/1056 + 
       (463127*s[6])/2112 + (85477901*s[7])/38016 - (3124675*s[8])/19008 - 
       (1665055*s[9])/864 - (71773*s[10])/108 - (3396319*s[11])/1408 - 
       (16207669*s[12])/6336 - (57045661*s[13])/38016 - 
       (1750559*s[14])/4224 - (10869971*s[15])/3456 - (2280385*s[16])/594 - 
       (118848467*s[17])/38016 - (341549*s[18])/864 - (207455*s[19])/576 - 
       (88420481*s[20])/19008 - (193222043*s[21])/114048 + 
       (135953915*s[22])/114048 + (41519545*s[23])/19008 + 
       (143242909*s[24])/57024 - (385401361*s[25])/128304 + 
       (436651901*s[26])/256608 - s[30]/24 - (2*s[31])/3 - (43*s[33])/48 - 
       (37*s[34])/24 - (22*s[35])/3 - (157*s[36])/36 + (1067*s[37])/144 + 
       (697*s[38])/12 - (8287*s[39])/32 + (86015*s[40])/288 - 
       (23957*s[41])/96 + (111445*s[42])/288 + (710761*s[43])/3168 - 
       (782989*s[44])/3168 + (763351*s[45])/3168 - (1599029*s[46])/792 + 
       (410749*s[47])/4752 + (207335*s[48])/9504 - (4852171*s[49])/4752 + 
       (2545517*s[50])/1584 + (2751337*s[51])/9504 + (124873*s[52])/594 - 
       (10458169*s[53])/9504 + (71699*s[54])/1584 - (22075903*s[55])/3168 - 
       (1404023*s[56])/792 + (15358603*s[57])/9504 - (3229093*s[58])/1056 + 
       (29622845*s[59])/9504 + (950718899*s[60])/57024 - 
       (53659423*s[61])/64152 - s[62]/12 + s[69] + s[70] - (17*s[71])/24 + 
       (5*s[72])/4 + s[73]/12 - (33*s[74])/16 + (97*s[75])/48 + (7*s[76])/6 - 
       (71*s[77])/24 + s[78]/12 + (143*s[79])/3 - (853*s[80])/72 + 
       (55*s[82])/4 + s[83]/2 + 12*s[84] + 9*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*
      ((-59*s[2])/12 + (383*s[3])/8 + (2279*s[4])/4 + (4013*s[5])/33 + 
       (264029*s[6])/528 + (12674723*s[7])/2376 - (9138467*s[8])/14256 - 
       (5617855*s[9])/1296 - (1192589*s[10])/1296 - (58944797*s[11])/9504 - 
       (69913105*s[12])/9504 - (7226273*s[13])/1584 + (1980901*s[14])/2376 - 
       (233417*s[15])/36 - (4541107*s[16])/528 - (51118075*s[17])/9504 - 
       (830663*s[18])/972 - (3487987*s[19])/3888 - (389876215*s[20])/42768 - 
       (63054317*s[21])/21384 + (59588935*s[22])/21384 + 
       (29776679*s[23])/3168 + (469735855*s[24])/85536 - 
       (6595559507*s[25])/769824 + (3139662503*s[26])/769824 + s[28]/8 - 
       5*s[29] + (79*s[30])/12 + (7*s[31])/4 + (3*s[32])/4 + (551*s[33])/48 - 
       (187*s[34])/12 + (71*s[35])/12 - (313*s[36])/12 + (2267*s[37])/72 + 
       (2807*s[38])/8 - (31255*s[39])/24 + (33203*s[40])/24 - 
       (50515*s[41])/48 + (88477*s[42])/48 + (95055*s[43])/88 - 
       (397559*s[44])/352 + (359827*s[45])/396 - (814762*s[46])/99 + 
       (1503253*s[47])/3168 + (4393*s[48])/3168 - (15960583*s[49])/3168 + 
       (1106451*s[50])/176 + (1229017*s[51])/1056 + (3104261*s[52])/3168 - 
       (5046785*s[53])/1188 - (115129*s[54])/1584 - (27697447*s[55])/1056 - 
       (61422203*s[56])/9504 + (18411431*s[57])/1782 - 
       (1149596449*s[58])/85536 + (1186576297*s[59])/85536 + 
       (1273853429*s[60])/19008 - (2385273703*s[61])/769824 + s[64]/4 - 
       (5*s[65])/8 - (20*s[66])/3 + (23*s[67])/3 - (14*s[68])/3 + 
       (31*s[69])/2 - (97*s[70])/12 + (41*s[71])/24 + (38*s[72])/3 - 
       (41*s[73])/3 - (43*s[74])/6 + (43*s[75])/6 - (47*s[76])/4 - 
       (11*s[77])/12 + (53*s[78])/2 + (119*s[79])/3 - (97*s[80])/36 + 
       s[81]/24 - (107*s[82])/2 + 2*s[83] + (53*s[84])/2 + 9*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((239*s[2])/48 - (97*s[3])/96 + (98369*s[4])/192 + 
       (1121627*s[5])/3168 + (344767*s[6])/396 + (305067559*s[7])/38016 - 
       (9609935*s[8])/14256 - (35409403*s[9])/5184 - (5225845*s[10])/2592 - 
       (84073823*s[11])/9504 - (370481293*s[12])/38016 - 
       (223161121*s[13])/38016 - (32320529*s[14])/38016 - 
       (36261541*s[15])/3456 - (15917837*s[16])/1188 - (3989279*s[17])/396 - 
       (23783879*s[18])/15552 - (8240069*s[19])/7776 - 
       (1353169511*s[20])/85536 - (1962316217*s[21])/342144 + 
       (1453955185*s[22])/342144 + (376009091*s[23])/38016 + 
       (2907854503*s[24])/342144 - (34813068197*s[25])/3079296 + 
       (19017751019*s[26])/3079296 + (97*s[30])/24 + (7*s[31])/3 - 
       (7*s[32])/4 + (3*s[33])/16 - (151*s[34])/24 - (413*s[35])/24 - 
       (595*s[36])/24 + (4951*s[37])/144 + (1227*s[38])/4 - 
       (59609*s[39])/48 + (22121*s[40])/16 - (3262*s[41])/3 + 
       (87167*s[42])/48 + (1596241*s[43])/1584 - (6882575*s[44])/6336 + 
       (3368965*s[45])/3168 - (3100641*s[46])/352 + (4713463*s[47])/9504 - 
       (413153*s[48])/9504 - (21718427*s[49])/4752 + (21316265*s[50])/3168 + 
       (6128873*s[51])/4752 + (19718863*s[52])/19008 - (2736929*s[53])/594 + 
       (366587*s[54])/1584 - (30433657*s[55])/1056 - (12199681*s[56])/1584 + 
       (99373369*s[57])/9504 - (410473333*s[58])/28512 + 
       (412052341*s[59])/28512 + (4037762881*s[60])/57024 - 
       (630141343*s[61])/171072 - s[68]/4 + s[69]/4 - s[70]/4 - s[71] + 
       (17*s[72])/4 - (19*s[73])/12 - (323*s[74])/48 + (311*s[75])/48 - 
       (21*s[76])/4 - (11*s[77])/8 + (13*s[78])/4 + (241*s[79])/2 - 
       (575*s[80])/24 - (835*s[82])/12 + s[83]/4 + (105*s[84])/2 + 9*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      ((21*s[2])/16 + (1031*s[3])/96 + (108703*s[4])/192 + 
       (458741*s[5])/1584 + (2610379*s[6])/3168 + (293504093*s[7])/38016 - 
       (10104229*s[8])/14256 - (33717683*s[9])/5184 - (4793201*s[10])/2592 - 
       (20371585*s[11])/2376 - (363726107*s[12])/38016 - 
       (220839335*s[13])/38016 - (16561771*s[14])/38016 - 
       (34547143*s[15])/3456 - (121772141*s[16])/9504 - 
       (29731615*s[17])/3168 - (21786997*s[18])/15552 - 
       (8440753*s[19])/7776 - (1267492957*s[20])/85536 - 
       (1788345931*s[21])/342144 + (1394526215*s[22])/342144 + 
       (387488917*s[23])/38016 + (2799349133*s[24])/342144 - 
       (34372725175*s[25])/3079296 + (18175271041*s[26])/3079296 + 
       (5*s[30])/3 + (17*s[31])/12 - (25*s[32])/24 - (335*s[33])/96 - 
       (11*s[34])/2 - (413*s[35])/24 - (595*s[36])/24 + (4919*s[37])/144 + 
       (5521*s[38])/18 - (178627*s[39])/144 + (198889*s[40])/144 - 
       (13031*s[41])/12 + (261149*s[42])/144 + (531391*s[43])/528 - 
       (6883147*s[44])/6336 + (374261*s[45])/352 - (3098529*s[46])/352 + 
       (1174931*s[47])/2376 - (52421*s[48])/1188 - (43424699*s[49])/9504 + 
       (7105165*s[50])/1056 + (12250189*s[51])/9504 + 
       (19666547*s[52])/19008 - (10947001*s[53])/2376 + (353299*s[54])/1584 - 
       (15213809*s[55])/528 - (24352535*s[56])/3168 + (33019267*s[57])/3168 - 
       (102479395*s[58])/7128 + (205811489*s[59])/14256 + 
       (126153469*s[60])/1782 - (1888137613*s[61])/513216 - s[68]/4 + 
       s[69]/4 - s[70]/4 - s[71] + (17*s[72])/4 - (19*s[73])/12 - 
       (323*s[74])/48 + (311*s[75])/48 - (21*s[76])/4 - (11*s[77])/8 + 
       (13*s[78])/4 + (241*s[79])/2 - (575*s[80])/24 - (815*s[82])/12 + 
       s[83]/4 + (105*s[84])/2 + 9*s[85]) + HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*((-5*s[2])/72 + (2219*s[3])/144 + 
       (2539*s[4])/16 + (189635*s[5])/3168 + (165233*s[6])/704 + 
       (55961659*s[7])/28512 - (10950983*s[8])/57024 - (8389465*s[9])/5184 - 
       (1160413*s[10])/2592 - (3090953*s[11])/1408 - (94122097*s[12])/38016 - 
       (86927827*s[13])/57024 - (43973*s[14])/704 - (3234959*s[15])/1296 - 
       (184920793*s[16])/57024 - (265461787*s[17])/114048 - 
       (50215*s[18])/144 - (92621*s[19])/324 - (17455585*s[20])/4752 - 
       (217289051*s[21])/171072 + (174677429*s[22])/171072 + 
       (306674593*s[23])/114048 + (711131665*s[24])/342144 - 
       (8942684347*s[25])/3079296 + (4636916137*s[26])/3079296 + 
       (3*s[30])/8 + (5*s[31])/36 + (7*s[32])/48 - (11*s[33])/36 + 
       (19*s[34])/36 + s[35]/2 - (589*s[36])/108 + (2881*s[37])/864 + 
       (11963*s[38])/144 - (23609*s[39])/72 + (79361*s[40])/216 - 
       (83561*s[41])/288 + (406717*s[42])/864 + (702583*s[43])/2376 - 
       (11597833*s[44])/38016 + (6328925*s[45])/19008 - 
       (49015831*s[46])/19008 + (11633357*s[47])/114048 + 
       (6105725*s[48])/114048 - (150296363*s[49])/114048 + 
       (18723985*s[50])/9504 + (37674193*s[51])/114048 + 
       (30599881*s[52])/114048 - (77510141*s[53])/57024 + 
       (295667*s[54])/4752 - (109178105*s[55])/12672 - 
       (28809845*s[56])/12672 + (134967673*s[57])/57024 - 
       (1380386069*s[58])/342144 + (1392647225*s[59])/342144 + 
       (14387773823*s[60])/684288 - (31827079*s[61])/28512 + s[66]/4 - 
       s[67]/4 - (2*s[68])/3 + s[69]/6 - (11*s[70])/36 - (9*s[71])/16 + 
       (19*s[72])/18 + (4*s[73])/9 - (31*s[74])/24 + (31*s[75])/24 - 
       (31*s[76])/18 - (11*s[77])/36 + (17*s[78])/36 + (281*s[79])/12 - 
       (605*s[80])/432 + (43*s[82])/2 + s[83]/8 + (83*s[84])/6 + 
       (19*s[85])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - w]*
      ((5*s[2])/6 + (29*s[3])/8 - (53*s[4])/16 + (1449*s[5])/88 + 
       (31417*s[6])/1056 + (281117*s[7])/1188 - (133175*s[8])/28512 - 
       (513109*s[9])/2592 - (138613*s[10])/1296 - (4521311*s[11])/19008 - 
       (4107571*s[12])/19008 - (63949*s[13])/528 - (1200589*s[14])/9504 - 
       (13577*s[15])/36 - (700061*s[16])/1584 - (8590063*s[17])/19008 - 
       (130561*s[18])/3888 - (65609*s[19])/972 - (47896213*s[20])/85536 - 
       (18416587*s[21])/85536 + (1271191*s[22])/10692 - (93883*s[23])/2112 + 
       (56855671*s[24])/171072 - (407072243*s[25])/1539648 + 
       (271988291*s[26])/1539648 - s[30]/3 + (5*s[34])/6 + (15*s[35])/8 + 
       (53*s[36])/72 - (26*s[37])/9 - (23*s[38])/6 + (113*s[39])/8 - 
       (749*s[40])/72 + (167*s[41])/24 - (911*s[42])/36 + (6013*s[43])/396 - 
       (12565*s[44])/1584 + (5573*s[45])/99 - (8009*s[46])/33 - 
       (291191*s[47])/9504 + (543643*s[48])/9504 - (159223*s[49])/2376 + 
       (326899*s[50])/1584 - (6527*s[51])/297 - (94547*s[52])/4752 - 
       (28665*s[53])/176 - (10231*s[54])/528 - (1221877*s[55])/1056 - 
       (1246573*s[56])/4752 - (9199007*s[57])/14256 - (1667123*s[58])/10692 + 
       (4255981*s[59])/21384 + (67927181*s[60])/28512 - 
       (59162933*s[61])/384912 + (5*s[74])/12 - (5*s[75])/12 - (8*s[79])/3 - 
       s[80]/18 + (211*s[82])/4 + 10*s[85]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^4*((17*s[2])/24 + (41*s[3])/8 + 
       (247*s[4])/24 + (4701*s[5])/176 + (105353*s[6])/2112 + 
       (4347851*s[7])/9504 - (1342285*s[8])/57024 - (2000177*s[9])/5184 - 
       (429557*s[10])/2592 - (18126841*s[11])/38016 - 
       (18340193*s[12])/38016 - (4914667*s[13])/19008 - 
       (3119201*s[14])/19008 - (583603*s[15])/864 - (3863455*s[16])/4752 - 
       (3045257*s[17])/4224 - (391189*s[18])/3888 - (562831*s[19])/7776 - 
       (44673269*s[20])/42768 - (34363093*s[21])/85536 + 
       (10046287*s[22])/42768 + (11252371*s[23])/38016 + 
       (182630945*s[24])/342144 - (1704081217*s[25])/3079296 + 
       (1091126659*s[26])/3079296 + s[30]/12 + s[32]/8 + (11*s[33])/16 + 
       (5*s[34])/6 + (23*s[35])/24 + (5*s[36])/72 - (457*s[37])/144 + 
       (65*s[38])/12 - (357*s[39])/16 + (4121*s[40])/144 - (399*s[41])/16 + 
       (997*s[42])/36 + (33053*s[43])/792 - (15493*s[44])/396 + 
       (14297*s[45])/176 - (764281*s[46])/1584 - (279163*s[47])/19008 + 
       (1041827*s[48])/19008 - (1836745*s[49])/9504 + (1244381*s[50])/3168 + 
       (175517*s[51])/9504 + (54169*s[52])/4752 - (2702527*s[53])/9504 - 
       (40751*s[54])/3168 - (4039193*s[55])/2112 - (557297*s[56])/1188 - 
       (9627257*s[57])/28512 - (47184833*s[58])/85536 + 
       (49800953*s[59])/85536 + (122602313*s[60])/28512 - 
       (193656251*s[61])/769824 + s[70]/2 + s[72]/6 - s[73]/6 + s[74]/12 - 
       s[75]/12 - s[76]/12 - (7*s[77])/12 + s[78]/6 + (2*s[79])/3 - s[80]/4 + 
       (417*s[82])/8 + s[84] + 10*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]^3*((55*s[2])/36 + (13*s[3])/4 + (31735*s[4])/288 + 
       (22523*s[5])/264 + (657677*s[6])/3168 + (105370189*s[7])/57024 - 
       (3217237*s[8])/21384 - (6057079*s[9])/3888 - (1893305*s[10])/3888 - 
       (115371481*s[11])/57024 - (31466729*s[12])/14256 - 
       (8344453*s[13])/6336 - (14776423*s[14])/57024 - (4260917*s[15])/1728 - 
       (14823151*s[16])/4752 - (137880659*s[17])/57024 - 
       (2042959*s[18])/5832 - (1519721*s[19])/5832 - (948853451*s[20])/
        256608 - (691974517*s[21])/513216 + (497605271*s[22])/513216 + 
       (6826829*s[23])/3168 + (515097337*s[24])/256608 - 
       (11844614341*s[25])/4618944 + (6568497127*s[26])/4618944 + 
       (17*s[30])/72 + (5*s[31])/12 - s[32]/6 - (263*s[33])/288 + 
       (7*s[34])/24 - (17*s[35])/36 - (89*s[36])/27 + (1357*s[37])/216 + 
       (2167*s[38])/36 - (35959*s[39])/144 + (122045*s[40])/432 - 
       (10589*s[41])/48 + (156445*s[42])/432 + (1045417*s[43])/4752 - 
       (2238191*s[44])/9504 + (156799*s[45])/594 - (3241657*s[46])/1584 + 
       (2357617*s[47])/28512 + (868129*s[48])/28512 - (7092859*s[49])/7128 + 
       (465733*s[50])/297 + (3512923*s[51])/14256 + (5746397*s[52])/28512 - 
       (5205097*s[53])/4752 + (13925*s[54])/176 - (66327961*s[55])/9504 - 
       (26816299*s[56])/14256 + (74594869*s[57])/42768 - 
       (407905145*s[58])/128304 + (206002921*s[59])/64152 + 
       (1428751373*s[60])/85536 - (527415037*s[61])/577368 - s[70]/2 + 
       (5*s[72])/6 + s[73]/6 - (71*s[74])/72 + (71*s[75])/72 - (2*s[76])/3 + 
       (5*s[77])/12 + s[78]/2 + (241*s[79])/9 - (248*s[80])/27 + 
       (239*s[82])/6 + 13*s[84] + (31*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - u]*
      ((17*s[2])/18 - (13*s[3])/8 + (613*s[4])/48 + (6263*s[5])/264 + 
       (38705*s[6])/792 + (14283361*s[7])/28512 - (581501*s[8])/21384 - 
       (420233*s[9])/972 - (676987*s[10])/3888 - (7699229*s[11])/14256 - 
       (4001381*s[12])/7128 - (262225*s[13])/792 - (1828589*s[14])/14256 - 
       (603215*s[15])/864 - (2106937*s[16])/2376 - (21547025*s[17])/28512 - 
       (1639343*s[18])/23328 - (2631073*s[19])/23328 - 
       (138053735*s[20])/128304 - (102686497*s[21])/256608 + 
       (34199227*s[22])/128304 + (115993*s[23])/396 + 
       (160894427*s[24])/256608 - (1510674799*s[25])/2309472 + 
       (440909039*s[26])/1154736 + (19*s[30])/18 + (17*s[34])/18 + 
       (5*s[35])/18 - (277*s[36])/54 + (1933*s[37])/216 + (34*s[38])/3 - 
       (2965*s[39])/72 + (11767*s[40])/216 - (3193*s[41])/72 + 
       (1432*s[42])/27 + (92233*s[43])/1188 - (151985*s[44])/2376 + 
       (48847*s[45])/594 - (106525*s[46])/198 - (252667*s[47])/14256 + 
       (1180985*s[48])/14256 - (9692767*s[49])/28512 + (1043045*s[50])/2376 + 
       (595421*s[51])/28512 + (53069*s[52])/7128 - (169559*s[53])/528 - 
       (161849*s[54])/1584 - (3269477*s[55])/1584 - (12063599*s[56])/28512 - 
       (6013625*s[57])/42768 - (164235451*s[58])/256608 + 
       (195192445*s[59])/256608 + (870561607*s[60])/171072 - 
       (60736799*s[61])/288684 + (17*s[74])/36 - (17*s[75])/36 + 
       (76*s[79])/9 - (92*s[80])/27 + (275*s[82])/6 + (34*s[85])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      ((241*s[2])/36 - (115*s[3])/18 - (1309*s[4])/144 + (163187*s[5])/3168 + 
       (363883*s[6])/3168 + (3041113*s[7])/6336 - (136441*s[8])/3564 - 
       (517223*s[9])/1296 - (62225*s[10])/648 - (9262091*s[11])/19008 - 
       (4583945*s[12])/9504 - (5493143*s[13])/19008 - (4433219*s[14])/19008 - 
       (1142779*s[15])/1728 - (3912785*s[16])/4752 - (15258527*s[17])/19008 - 
       (1043015*s[18])/7776 + (257003*s[19])/7776 - (21331855*s[20])/21384 - 
       (85224539*s[21])/171072 + (40184167*s[22])/171072 + 
       (1227473*s[23])/2376 + (33611855*s[24])/85536 - 
       (814397909*s[25])/1539648 + (650517431*s[26])/1539648 - s[29] - 
       (37*s[30])/36 + (65*s[31])/18 + (71*s[32])/36 + (19*s[33])/18 - 
       (107*s[34])/18 - (17*s[35])/18 - (83*s[36])/18 + (13*s[37])/6 - 
       (23*s[38])/6 - (2471*s[39])/72 + (1459*s[40])/72 + (371*s[41])/72 + 
       (4735*s[42])/72 - (1519*s[43])/792 + (14119*s[44])/792 + 
       (33689*s[45])/792 - (30949*s[46])/132 + (208075*s[47])/2376 - 
       (145789*s[48])/1188 + (213623*s[49])/2376 + (15421*s[50])/396 + 
       (13199*s[51])/594 + (69709*s[52])/1188 - (78493*s[53])/594 + 
       (28235*s[54])/99 - (199421*s[55])/297 - (1168897*s[56])/2376 + 
       (5400997*s[57])/7128 - (12122813*s[58])/21384 + 
       (5482909*s[59])/10692 + (328087*s[60])/891 - (92255737*s[61])/384912 - 
       (5*s[65])/4 - (19*s[66])/6 + (19*s[67])/6 + (11*s[68])/3 + 
       (17*s[69])/3 - (10*s[70])/3 + (5*s[71])/4 + (50*s[72])/9 - 
       (17*s[73])/3 - (14*s[74])/9 + (14*s[75])/9 - (44*s[76])/9 + 
       (11*s[77])/3 + (112*s[78])/9 - (76*s[79])/3 + (109*s[80])/18 - 
       33*s[82] + (31*s[83])/12 - (73*s[84])/6 + (34*s[85])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
      ((133*s[2])/24 + (385*s[3])/48 + (7453*s[4])/72 + (774803*s[5])/6336 + 
       (131411*s[6])/528 + (261900697*s[7])/114048 - (2872325*s[8])/19008 - 
       (3406361*s[9])/1728 - (144955*s[10])/216 - (47586635*s[11])/19008 - 
       (33881525*s[12])/12672 - (180311375*s[13])/114048 - 
       (17108533*s[14])/38016 - (32272237*s[15])/10368 - 
       (224060125*s[16])/57024 - (44944709*s[17])/14256 - 
       (6927751*s[18])/15552 - (5335613*s[19])/15552 - 
       (407937451*s[20])/85536 - (612515225*s[21])/342144 + 
       (138333715*s[22])/114048 + (258064501*s[23])/114048 + 
       (291294653*s[24])/114048 - (2378385743*s[25])/769824 + 
       (686685661*s[26])/384912 - (13*s[30])/72 + (19*s[31])/12 - 
       (173*s[32])/144 + (313*s[33])/288 - (253*s[34])/72 + (5*s[35])/6 - 
       (245*s[36])/54 + (1333*s[37])/864 + (9935*s[38])/144 - 
       (39631*s[39])/144 + (132757*s[40])/432 - (69491*s[41])/288 + 
       (340747*s[42])/864 + (1169519*s[43])/4752 - (9807409*s[44])/38016 + 
       (5348393*s[45])/19008 - (41231191*s[46])/19008 + 
       (10113689*s[47])/114048 + (5058881*s[48])/114048 - 
       (127834199*s[49])/114048 + (15795259*s[50])/9504 + 
       (31239517*s[51])/114048 + (25093177*s[52])/114048 - 
       (65059397*s[53])/57024 + (31697*s[54])/4752 - (91831357*s[55])/12672 - 
       (8011555*s[56])/4224 + (115408861*s[57])/57024 - 
       (1166006777*s[58])/342144 + (1175574845*s[59])/342144 + 
       (12142256507*s[60])/684288 - (7578088*s[61])/8019 - s[66]/4 + 
       s[67]/4 - s[68]/6 + (2*s[69])/3 - (11*s[70])/36 - (5*s[71])/16 + 
       (25*s[72])/18 + (4*s[73])/9 - (9*s[74])/8 + (9*s[75])/8 - 
       (14*s[76])/9 - (11*s[77])/36 + (77*s[78])/36 + (191*s[79])/12 - 
       (209*s[80])/432 + 47*s[82] - s[83]/2 + (91*s[84])/12 + (23*s[85])/2) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      (s[2] + (27*s[3])/4 - (183*s[4])/8 + (53*s[5])/4 + (141*s[6])/8 + 
       (377*s[7])/16 + (1331*s[8])/72 - (134*s[9])/9 - (2209*s[10])/36 + 
       (179*s[11])/48 + (1493*s[12])/24 + (2663*s[13])/48 - (7351*s[14])/48 - 
       (5135*s[15])/48 - (2381*s[16])/24 - (10651*s[17])/48 - 
       (2407*s[18])/108 - (2149*s[19])/216 - (41027*s[20])/216 - 
       (49021*s[21])/432 + (833*s[22])/432 - (3361*s[23])/12 + 
       (2192*s[24])/27 + (34573*s[25])/486 + (32383*s[26])/972 - s[30] + 
       s[34] + 4*s[35] + 2*s[36] + s[37]/12 - (41*s[38])/2 + (249*s[39])/4 - 
       (257*s[40])/4 + 50*s[41] - (179*s[42])/2 - (1703*s[43])/44 + 
       (3287*s[44])/88 + (3425*s[45])/264 + (24247*s[46])/264 - 
       (11161*s[47])/264 + (8573*s[48])/264 + (43735*s[49])/264 - 
       (703*s[50])/11 - (6063*s[51])/88 - (12149*s[52])/264 + 
       (18809*s[53])/792 + (1163*s[54])/132 + (3265*s[55])/264 - 
       (24911*s[56])/792 - (921287*s[57])/1188 + (257932*s[58])/891 - 
       (2161979*s[59])/7128 - (44065*s[60])/66 - (7926917*s[61])/128304 + 
       s[71]/2 + s[74]/2 - s[75]/2 - 12*s[79] - (5*s[80])/6 + 54*s[82] + 
       12*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*(s[2] + (27*s[3])/4 - (233*s[4])/8 + 
       (357*s[5])/88 + (61*s[6])/22 - (24865*s[7])/176 + (11221*s[8])/594 + 
       (28391*s[9])/216 - (1175*s[10])/216 + (293617*s[11])/1584 + 
       (23729*s[12])/99 + (295831*s[13])/1584 - (167495*s[14])/1584 + 
       (20477*s[15])/144 + (145421*s[16])/792 + (62869*s[17])/1584 - 
       (14405*s[18])/648 + (32021*s[19])/648 + (1027121*s[20])/7128 - 
       (3935*s[21])/14256 - (1252535*s[22])/14256 - (106889*s[23])/396 - 
       (605207*s[24])/3564 + (39017065*s[25])/128304 - 
       (11571169*s[26])/128304 + s[33]/4 + 3*s[34] + 4*s[35] + 2*s[36] + 
       s[37]/12 - (41*s[38])/2 + (249*s[39])/4 - (257*s[40])/4 + 50*s[41] - 
       (179*s[42])/2 - (1703*s[43])/44 + (3287*s[44])/88 + (3425*s[45])/264 + 
       (24247*s[46])/264 - (11161*s[47])/264 + (8573*s[48])/264 + 
       (43735*s[49])/264 - (703*s[50])/11 - (6063*s[51])/88 - 
       (12149*s[52])/264 + (18809*s[53])/792 + (1163*s[54])/132 + 
       (3265*s[55])/264 - (24911*s[56])/792 - (921287*s[57])/1188 + 
       (257932*s[58])/891 - (2161979*s[59])/7128 - (44065*s[60])/66 - 
       (7926917*s[61])/128304 + s[71]/2 + s[74]/2 - s[75]/2 - 12*s[79] - 
       (5*s[80])/6 + 54*s[82] + 12*s[85]) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*(s[2] + (35*s[3])/8 + (21*s[4])/16 + 
       (8241*s[5])/352 + (2715*s[6])/88 + (2083657*s[7])/6336 - 
       (39323*s[8])/3168 - (81259*s[9])/288 - (21145*s[10])/144 - 
       (354625*s[11])/1056 - (221025*s[12])/704 - (1042601*s[13])/6336 - 
       (100613*s[14])/704 - (101059*s[15])/192 - (1981489*s[16])/3168 - 
       (243013*s[17])/396 - (11831*s[18])/288 - (9551*s[19])/96 - 
       (1222511*s[20])/1584 - (5060917*s[21])/19008 + (3239941*s[22])/19008 + 
       (165637*s[23])/6336 + (8704117*s[24])/19008 - (1054633*s[25])/2673 + 
       (9678799*s[26])/42768 + s[32]/4 + (3*s[33])/4 + s[34] + s[35] + 
       (5*s[36])/6 - (197*s[37])/72 + s[38] + (35*s[39])/8 + (7*s[40])/24 - 
       (15*s[41])/8 - (85*s[42])/6 + (799*s[43])/44 - (49525*s[44])/2112 + 
       (37835*s[45])/528 - (183085*s[46])/528 - (183419*s[47])/6336 + 
       (351313*s[48])/6336 - (747391*s[49])/6336 + (167885*s[50])/528 - 
       (6719*s[51])/6336 - (110827*s[52])/6336 - (45413*s[53])/198 - 
       (38861*s[54])/528 - (9789145*s[55])/6336 - (1964257*s[56])/6336 - 
       (6313903*s[57])/9504 - (15405737*s[58])/57024 + 
       (17265047*s[59])/57024 + (129316993*s[60])/38016 - 
       (101424119*s[61])/513216 + s[70] + s[74]/4 - s[75]/4 - s[77] - 
       2*s[79] + s[80]/3 + (275*s[82])/4 + 12*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      (s[2] + 25*s[3] + (1167*s[4])/4 + (2348*s[5])/11 + (11807*s[6])/22 + 
       (1292935*s[7])/264 - (226031*s[8])/594 - (222829*s[9])/54 - 
       (140485*s[10])/108 - (1083913*s[11])/198 - (4811525*s[12])/792 - 
       (2918059*s[13])/792 - (471001*s[14])/792 - (461531*s[15])/72 - 
       (820346*s[16])/99 - (611543*s[17])/99 - (280057*s[18])/324 - 
       (251963*s[19])/324 - (8718560*s[20])/891 - (25591345*s[21])/7128 + 
       (18460373*s[22])/7128 + (4394237*s[23])/792 + (39822155*s[24])/7128 - 
       (445884421*s[25])/64152 + (246708805*s[26])/64152 - 4*s[30] + s[34] - 
       14*s[35] - (13*s[36])/2 + 12*s[37] + (413*s[38])/2 - (5649*s[39])/8 + 
       (6365*s[40])/8 - (4943*s[41])/8 + (7755*s[42])/8 + (62663*s[43])/88 - 
       (125869*s[44])/176 + (30341*s[45])/44 - (493791*s[46])/88 + 
       (21693*s[47])/176 + (53439*s[48])/176 - (564655*s[49])/176 + 
       (47541*s[50])/11 + (328505*s[51])/528 + (91901*s[52])/176 - 
       (771349*s[53])/264 - (1165*s[54])/44 - (3327099*s[55])/176 - 
       (2559655*s[56])/528 + (1769377*s[57])/396 - (41037989*s[58])/4752 + 
       (42401759*s[59])/4752 + (16867655*s[60])/352 - 
       (99454913*s[61])/42768 - (3*s[62])/2 - 6*s[68] + s[71]/2 + s[74]/2 - 
       s[75]/2 + 6*s[76] - 6*s[77] + 2*s[78] + 60*s[79] - 17*s[80] + 
       78*s[82] + 12*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*(-6*s[2] + (81*s[3])/4 + (2721*s[4])/8 + 
       (8959*s[5])/44 + (51495*s[6])/88 + (2737573*s[7])/528 - 
       (994513*s[8])/2376 - (233663*s[9])/54 - (152675*s[10])/108 - 
       (9116977*s[11])/1584 - (5012503*s[12])/792 - (6156541*s[13])/1584 - 
       (1033567*s[14])/1584 - (1004969*s[15])/144 - (7028657*s[16])/792 - 
       (10780399*s[17])/1584 - (252539*s[18])/324 - (647411*s[19])/648 - 
       (73065737*s[20])/7128 - (52257529*s[21])/14256 + 
       (38764829*s[22])/14256 + (1049101*s[23])/198 + (10874965*s[24])/1782 - 
       (59256424*s[25])/8019 + (128585713*s[26])/32076 + 2*s[27] - 6*s[31] - 
       (15*s[33])/2 + 10*s[34] - 14*s[35] - (13*s[36])/2 + 12*s[37] + 
       (413*s[38])/2 - (5649*s[39])/8 + (6365*s[40])/8 - (4943*s[41])/8 + 
       (7755*s[42])/8 + (62663*s[43])/88 - (125869*s[44])/176 + 
       (30341*s[45])/44 - (493791*s[46])/88 + (21693*s[47])/176 + 
       (53439*s[48])/176 - (564655*s[49])/176 + (47541*s[50])/11 + 
       (328505*s[51])/528 + (91901*s[52])/176 - (771349*s[53])/264 - 
       (1165*s[54])/44 - (3327099*s[55])/176 - (2559655*s[56])/528 + 
       (1769377*s[57])/396 - (41037989*s[58])/4752 + (42401759*s[59])/4752 + 
       (16867655*s[60])/352 - (99454913*s[61])/42768 - (3*s[62])/2 - 
       6*s[68] + s[71]/2 + s[74]/2 - s[75]/2 + 6*s[76] - 6*s[77] + 2*s[78] + 
       60*s[79] - 17*s[80] + 78*s[82] + 12*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 1 - u]*
      ((87*s[2])/4 - (185*s[3])/8 - (6737*s[4])/16 - (295*s[5])/11 - 
       (59803*s[6])/176 - (3892369*s[7])/1056 + (1990513*s[8])/4752 + 
       (81704*s[9])/27 + (164387*s[10])/216 + (13047913*s[11])/3168 + 
       (942143*s[12])/198 + (9317995*s[13])/3168 - (1074047*s[14])/3168 + 
       (1366061*s[15])/288 + (2409809*s[16])/396 + (13029343*s[17])/3168 + 
       (43693*s[18])/81 + (802313*s[19])/1296 + (93688565*s[20])/14256 + 
       (57214735*s[21])/28512 - (55267835*s[22])/28512 - 
       (4542443*s[23])/792 - (6796877*s[24])/1782 + (728895287*s[25])/
        128304 - (343880003*s[26])/128304 - s[28] - 3*s[30] - s[31] - 
       (3*s[32])/2 - (57*s[33])/8 + 4*s[34] + (31*s[35])/2 + (19*s[36])/6 - 
       (95*s[37])/4 - (299*s[38])/2 + (1297*s[39])/2 - (2189*s[40])/3 + 
       (2387*s[41])/4 - (2926*s[42])/3 - (3043*s[43])/6 + (26789*s[44])/48 - 
       (3329*s[45])/8 + (99157*s[46])/24 - (40075*s[47])/144 + 
       (14453*s[48])/144 + (330985*s[49])/144 - (9743*s[50])/3 - 
       (97355*s[51])/144 - (80813*s[52])/144 + (77521*s[53])/36 - 
       (238*s[54])/3 + (643721*s[55])/48 + (496447*s[56])/144 - 
       (1197695*s[57])/216 + (8875859*s[58])/1296 - (8956301*s[59])/1296 - 
       (28750489*s[60])/864 + (17625731*s[61])/11664 - s[65] - 2*s[67] + 
       8*s[68] - 8*s[69] + 8*s[70] + s[71] - 3*s[72] - s[73] + (21*s[74])/4 - 
       (21*s[75])/4 + 5*s[76] + (3*s[77])/2 - 3*s[78] - 124*s[79] + 
       (49*s[80])/2 + 162*s[82] + 3*s[83] - 24*s[84] + 12*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 1 - u]*
      ((-27*s[2])/4 + (811*s[3])/8 - (2795*s[4])/16 - (14459*s[5])/88 - 
       (58931*s[6])/176 - (11575375*s[7])/3168 + (1312501*s[8])/4752 + 
       (349925*s[9])/108 + (99445*s[10])/108 + (12656689*s[11])/3168 + 
       (3457493*s[12])/792 + (2860981*s[13])/1056 + (1630801*s[14])/3168 + 
       (449603*s[15])/96 + (1551821*s[16])/264 + (13947431*s[17])/3168 + 
       (104471*s[18])/162 + (519329*s[19])/1296 + (102735773*s[20])/14256 + 
       (77174179*s[21])/28512 - (57227339*s[22])/28512 - (257429*s[23])/66 - 
       (27065339*s[24])/7128 + (639850223*s[25])/128304 - 
       (359556599*s[26])/128304 - s[30]/2 - 4*s[31] + 9*s[32] + 
       (11*s[33])/4 + (23*s[34])/2 + (31*s[35])/2 + (19*s[36])/6 - 
       (95*s[37])/4 - (299*s[38])/2 + (1297*s[39])/2 - (2189*s[40])/3 + 
       (2387*s[41])/4 - (2926*s[42])/3 - (3043*s[43])/6 + (26789*s[44])/48 - 
       (3329*s[45])/8 + (99157*s[46])/24 - (40075*s[47])/144 + 
       (14453*s[48])/144 + (330985*s[49])/144 - (9743*s[50])/3 - 
       (97355*s[51])/144 - (80813*s[52])/144 + (77521*s[53])/36 - 
       (238*s[54])/3 + (643721*s[55])/48 + (496447*s[56])/144 - 
       (1197695*s[57])/216 + (8875859*s[58])/1296 - (8956301*s[59])/1296 - 
       (28750489*s[60])/864 + (17625731*s[61])/11664 - s[65] - 2*s[67] + 
       8*s[68] - 8*s[69] + 8*s[70] + s[71] - 3*s[72] - s[73] + (21*s[74])/4 - 
       (21*s[75])/4 + 5*s[76] + (3*s[77])/2 - 3*s[78] - 124*s[79] + 
       (49*s[80])/2 + 162*s[82] + 3*s[83] - 24*s[84] + 12*s[85]) + 
     B7[v, w, u]*HPL[{1}, 1 - w]*((11*s[2])/4 - (25*s[3])/8 + 
       (1103*s[4])/16 + (1675*s[5])/22 + (29109*s[6])/176 + 
       (4676269*s[7])/3168 - (165757*s[8])/1584 - (45431*s[9])/36 - 
       (30347*s[10])/72 - (1697237*s[11])/1056 - (113651*s[12])/66 - 
       (3242381*s[13])/3168 - (299837*s[14])/1056 - (576835*s[15])/288 - 
       (498779*s[16])/198 - (6396505*s[17])/3168 - (7442*s[18])/27 - 
       (94789*s[19])/432 - (14426161*s[20])/4752 - (3591857*s[21])/3168 + 
       (7420007*s[22])/9504 + (1173895*s[23])/792 + (1953001*s[24])/1188 - 
       (28412165*s[25])/14256 + (16267169*s[26])/14256 + s[31] - s[32]/2 + 
       (5*s[33])/8 - s[34] - s[35]/2 - (23*s[36])/6 + (29*s[37])/12 + 
       (93*s[38])/2 - (753*s[39])/4 + (2557*s[40])/12 - (339*s[41])/2 + 
       (3233*s[42])/12 + (23417*s[43])/132 - (98699*s[44])/528 + 
       (54841*s[45])/264 - (422225*s[46])/264 + (77509*s[47])/1584 + 
       (89257*s[48])/1584 - (1293367*s[49])/1584 + (82333*s[50])/66 + 
       (291545*s[51])/1584 + (222551*s[52])/1584 - (342527*s[53])/396 - 
       (203*s[54])/66 - (970081*s[55])/176 - (750251*s[56])/528 + 
       (297479*s[57])/264 - (11435183*s[58])/4752 + (11690453*s[59])/4752 + 
       (126873391*s[60])/9504 - (30036709*s[61])/42768 - s[66] + s[67] + 
       s[69] + s[72] - s[73] - (3*s[74])/4 + (3*s[75])/4 - s[77]/2 + s[78] + 
       18*s[79] - (31*s[80])/6 + 48*s[82] + 6*s[84] + 12*s[85]) + 
     B7[w, u, v]*HPL[{1}, 1 - v]*(s[2]/4 + (71*s[3])/8 + (1561*s[4])/16 + 
       (4423*s[5])/88 + (27173*s[6])/176 + (4483021*s[7])/3168 - 
       (22001*s[8])/176 - (14131*s[9])/12 - (757*s[10])/2 - 
       (1648969*s[11])/1056 - (151377*s[12])/88 - (3274589*s[13])/3168 - 
       (145441*s[14])/1056 - (544819*s[15])/288 - (1907633*s[16])/792 - 
       (5827189*s[17])/3168 - (25597*s[18])/108 - (105809*s[19])/432 - 
       (13224389*s[20])/4752 - (9234779*s[21])/9504 + (780763*s[22])/1056 + 
       (325591*s[23])/198 + (1254037*s[24])/792 - (86303077*s[25])/42768 + 
       (45942541*s[26])/42768 + s[30]/2 - s[33]/2 + s[34]/2 - s[35]/2 - 
       (23*s[36])/6 + (29*s[37])/12 + (93*s[38])/2 - (753*s[39])/4 + 
       (2557*s[40])/12 - (339*s[41])/2 + (3233*s[42])/12 + 
       (23417*s[43])/132 - (98699*s[44])/528 + (54841*s[45])/264 - 
       (422225*s[46])/264 + (77509*s[47])/1584 + (89257*s[48])/1584 - 
       (1293367*s[49])/1584 + (82333*s[50])/66 + (291545*s[51])/1584 + 
       (222551*s[52])/1584 - (342527*s[53])/396 - (203*s[54])/66 - 
       (970081*s[55])/176 - (750251*s[56])/528 + (297479*s[57])/264 - 
       (11435183*s[58])/4752 + (11690453*s[59])/4752 + 
       (126873391*s[60])/9504 - (30036709*s[61])/42768 - s[66] + s[67] + 
       s[69] + s[72] - s[73] - (3*s[74])/4 + (3*s[75])/4 - s[77]/2 + s[78] + 
       18*s[79] - (31*s[80])/6 + 48*s[82] + 6*s[84] + 12*s[85]) + 
     D34[v, w, u]*((11*s[2])/4 - (25*s[3])/8 + (1063*s[4])/16 + 
       (305*s[5])/4 + (2611*s[6])/16 + (421463*s[7])/288 - (44665*s[8])/432 - 
       (67655*s[9])/54 - (90631*s[10])/216 - (458293*s[11])/288 - 
       (30653*s[12])/18 - (291671*s[13])/288 - (81997*s[14])/288 - 
       (571883*s[15])/288 - (44915*s[16])/18 - (192481*s[17])/96 - 
       (88127*s[18])/324 - (285967*s[19])/1296 - (3901061*s[20])/1296 - 
       (2911795*s[21])/2592 + (2004983*s[22])/2592 + (102955*s[23])/72 + 
       (264779*s[24])/162 - (23013785*s[25])/11664 + (13168145*s[26])/11664 + 
       s[31] - s[32]/2 + (5*s[33])/8 - s[34] - (3*s[35])/2 - (23*s[36])/6 + 
       (9*s[37])/4 + (91*s[38])/2 - (739*s[39])/4 + (2503*s[40])/12 - 
       166*s[41] + (3173*s[42])/12 + (2077*s[43])/12 - (8725*s[44])/48 + 
       (1665*s[45])/8 - (38039*s[46])/24 + (7271*s[47])/144 + 
       (7259*s[48])/144 - (114845*s[49])/144 + (3715*s[50])/3 + 
       (26299*s[51])/144 + (20017*s[52])/144 - (30959*s[53])/36 - 
       (11*s[54])/6 - (263185*s[55])/48 - (203411*s[56])/144 + 
       (231721*s[57])/216 - (3075655*s[58])/1296 + (3139933*s[59])/1296 + 
       (11419541*s[60])/864 - (8197501*s[61])/11664 + s[67] + s[72] - s[73] - 
       (3*s[74])/4 + (3*s[75])/4 - s[77]/2 + s[78] + 16*s[79] - (9*s[80])/2 + 
       48*s[82] + 6*s[84] + 12*s[85]) + D34[w, u, v]*
      (s[2]/4 + (87*s[3])/8 + (1545*s[4])/16 + (415*s[5])/8 + 
       (2411*s[6])/16 + (404807*s[7])/288 - (53725*s[8])/432 - 
       (31579*s[9])/27 - (40931*s[10])/108 - (445393*s[11])/288 - 
       (122381*s[12])/72 - (292007*s[13])/288 - (40513*s[14])/288 - 
       (543851*s[15])/288 - (172463*s[16])/72 - (176629*s[17])/96 - 
       (39133*s[18])/162 - (312163*s[19])/1296 - (3598025*s[20])/1296 - 
       (2517259*s[21])/2592 + (1899299*s[22])/2592 + (14759*s[23])/9 + 
       (1015055*s[24])/648 - (23271323*s[25])/11664 + 
       (12433703*s[26])/11664 + s[30]/2 - s[33]/2 + s[34]/2 - (3*s[35])/2 - 
       (23*s[36])/6 + (9*s[37])/4 + (91*s[38])/2 - (739*s[39])/4 + 
       (2503*s[40])/12 - 166*s[41] + (3173*s[42])/12 + (2077*s[43])/12 - 
       (8725*s[44])/48 + (1665*s[45])/8 - (38039*s[46])/24 + 
       (7271*s[47])/144 + (7259*s[48])/144 - (114845*s[49])/144 + 
       (3715*s[50])/3 + (26299*s[51])/144 + (20017*s[52])/144 - 
       (30959*s[53])/36 - (11*s[54])/6 - (263185*s[55])/48 - 
       (203411*s[56])/144 + (231721*s[57])/216 - (3075655*s[58])/1296 + 
       (3139933*s[59])/1296 + (11419541*s[60])/864 - (8197501*s[61])/11664 + 
       s[67] + s[72] - s[73] - (3*s[74])/4 + (3*s[75])/4 - s[77]/2 + s[78] + 
       16*s[79] - (9*s[80])/2 + 48*s[82] + 6*s[84] + 12*s[85]) + 
     B5[v, u, w]*HPL[{1}, 1 - v]*((11*s[2])/4 - (25*s[3])/8 + 
       (1063*s[4])/16 + (305*s[5])/4 + (2611*s[6])/16 + (421439*s[7])/288 - 
       (44689*s[8])/432 - (33829*s[9])/27 - (90619*s[10])/216 - 
       (458317*s[11])/288 - (30647*s[12])/18 - (291863*s[13])/288 - 
       (81877*s[14])/288 - (572195*s[15])/288 - (89899*s[16])/36 - 
       (192721*s[17])/96 - (87545*s[18])/324 - (286927*s[19])/1296 - 
       (3900065*s[20])/1296 - (2912035*s[21])/2592 + (2005103*s[22])/2592 + 
       (102853*s[23])/72 + (529393*s[24])/324 - (23018621*s[25])/11664 + 
       (13173089*s[26])/11664 + s[31] - s[32]/2 + (5*s[33])/8 - s[34] - 
       s[35]/2 - (23*s[36])/6 + (9*s[37])/4 + (91*s[38])/2 - (739*s[39])/4 + 
       (2503*s[40])/12 - 166*s[41] + (3173*s[42])/12 + (2077*s[43])/12 - 
       (8725*s[44])/48 + (1665*s[45])/8 - (38039*s[46])/24 + 
       (7259*s[47])/144 + (7247*s[48])/144 - (115121*s[49])/144 + 
       (7433*s[50])/6 + (26119*s[51])/144 + (19993*s[52])/144 - 
       (30989*s[53])/36 - (17*s[54])/6 - (263533*s[55])/48 - 
       (203303*s[56])/144 + (230713*s[57])/216 - (3075979*s[58])/1296 + 
       (3145657*s[59])/1296 + (11422481*s[60])/864 - (8187817*s[61])/11664 + 
       s[67] + s[69] + s[72] - s[73] - (3*s[74])/4 + (3*s[75])/4 - s[77]/2 + 
       s[78] + 16*s[79] - (9*s[80])/2 + 48*s[82] + 6*s[84] + 12*s[85]) + 
     B5[w, u, v]*HPL[{1}, 1 - w]*(s[2]/4 + (87*s[3])/8 + (1545*s[4])/16 + 
       (415*s[5])/8 + (2403*s[6])/16 + (404807*s[7])/288 - (53485*s[8])/432 - 
       (31564*s[9])/27 - (40937*s[10])/108 - (445369*s[11])/288 - 
       (122351*s[12])/72 - (291551*s[13])/288 - (40849*s[14])/288 - 
       (544907*s[15])/288 - (172673*s[16])/72 - (177077*s[17])/96 - 
       (19568*s[18])/81 - (313507*s[19])/1296 - (3601469*s[20])/1296 - 
       (2524867*s[21])/2592 + (1898963*s[22])/2592 + (14816*s[23])/9 + 
       (1015331*s[24])/648 - (23253023*s[25])/11664 + 
       (12447695*s[26])/11664 - s[29] + s[30]/2 - s[33]/2 + s[34]/2 - 
       s[35]/2 - (23*s[36])/6 + (9*s[37])/4 + (91*s[38])/2 - (739*s[39])/4 + 
       (2503*s[40])/12 - 166*s[41] + (3173*s[42])/12 + (2077*s[43])/12 - 
       (8725*s[44])/48 + (1665*s[45])/8 - (38039*s[46])/24 + 
       (7259*s[47])/144 + (7247*s[48])/144 - (115121*s[49])/144 + 
       (7433*s[50])/6 + (26119*s[51])/144 + (19993*s[52])/144 - 
       (30989*s[53])/36 - (17*s[54])/6 - (263533*s[55])/48 - 
       (203303*s[56])/144 + (230713*s[57])/216 - (3075979*s[58])/1296 + 
       (3145657*s[59])/1296 + (11422481*s[60])/864 - (8187817*s[61])/11664 + 
       s[67] + s[69] + s[72] - s[73] - (3*s[74])/4 + (3*s[75])/4 - s[77]/2 + 
       s[78] + 16*s[79] - (9*s[80])/2 + 48*s[82] + 6*s[84] + 12*s[85]) + 
     B5[u, w, v]*HPL[{1}, 1 - w]*(s[2] + 6*s[3] + (167*s[4])/4 + 
       (1707*s[5])/44 + (4293*s[6])/44 + (654625*s[7])/792 - 
       (69151*s[8])/1188 - (75269*s[9])/108 - (13427*s[10])/54 - 
       (354419*s[11])/396 - (752891*s[12])/792 - (49627*s[13])/88 - 
       (134461*s[14])/792 - (27419*s[15])/24 - (94201*s[16])/66 - 
       (230861*s[17])/198 - (24323*s[18])/162 - (45119*s[19])/324 - 
       (1525421*s[20])/891 - (4469191*s[21])/7128 + (3068255*s[22])/7128 + 
       (67161*s[23])/88 + (6775781*s[24])/7128 - (35759711*s[25])/32076 + 
       (20345159*s[26])/32076 + s[34] - (4*s[36])/3 - (2*s[37])/3 + 
       21*s[38] - 84*s[39] + (298*s[40])/3 - (161*s[41])/2 + (703*s[42])/6 + 
       (3188*s[43])/33 - (6169*s[44])/66 + (8663*s[45])/66 - 
       (19925*s[46])/22 + (2731*s[47])/396 + (23983*s[48])/396 - 
       (169585*s[49])/396 + (23426*s[50])/33 + (32297*s[51])/396 + 
       (11995*s[52])/198 - (16547*s[53])/33 - (3*s[54])/22 - 
       (429479*s[55])/132 - (330791*s[56])/396 + (69371*s[57])/297 - 
       (4484527*s[58])/3564 + (4607629*s[59])/3564 + (18372097*s[60])/2376 - 
       (13545001*s[61])/32076 + 8*s[79] - (10*s[80])/3 + 48*s[82] + 6*s[84] + 
       12*s[85]) + B5[u, v, w]*HPL[{1}, 1 - v]*(s[2] + 2*s[3] + 
       (147*s[4])/4 + (1839*s[5])/44 + (4249*s[6])/44 + (657793*s[7])/792 - 
       (67963*s[8])/1188 - (76349*s[9])/108 - (13589*s[10])/54 - 
       (355409*s[11])/396 - (752495*s[12])/792 - (49363*s[13])/88 - 
       (147925*s[14])/792 - (27467*s[15])/24 - (94465*s[16])/66 - 
       (116272*s[17])/99 - (24431*s[18])/162 - (44255*s[19])/324 - 
       (1545617*s[20])/891 - (4559479*s[21])/7128 + (3103895*s[22])/7128 + 
       (64037*s[23])/88 + (6819737*s[24])/7128 - (35596955*s[25])/32076 + 
       (20460395*s[26])/32076 + s[34] - (4*s[36])/3 - (2*s[37])/3 + 
       21*s[38] - 84*s[39] + (298*s[40])/3 - (161*s[41])/2 + (703*s[42])/6 + 
       (3188*s[43])/33 - (6169*s[44])/66 + (8663*s[45])/66 - 
       (19925*s[46])/22 + (2731*s[47])/396 + (23983*s[48])/396 - 
       (169585*s[49])/396 + (23426*s[50])/33 + (32297*s[51])/396 + 
       (11995*s[52])/198 - (16547*s[53])/33 - (3*s[54])/22 - 
       (429479*s[55])/132 - (330791*s[56])/396 + (69371*s[57])/297 - 
       (4484527*s[58])/3564 + (4607629*s[59])/3564 + (18372097*s[60])/2376 - 
       (13545001*s[61])/32076 + 8*s[79] - (10*s[80])/3 + 48*s[82] + 6*s[84] + 
       12*s[85]) + D34[u, v, w]*(s[2] + 6*s[3] + (147*s[4])/4 + 
       (1861*s[5])/44 + (4293*s[6])/44 + (645451*s[7])/792 - 
       (66467*s[8])/1188 - (74449*s[9])/108 - (6662*s[10])/27 - 
       (348919*s[11])/396 - (737953*s[12])/792 - (435313*s[13])/792 - 
       (144911*s[14])/792 - (81071*s[15])/72 - (139283*s[16])/99 - 
       (38266*s[17])/33 - (12344*s[18])/81 - (43447*s[19])/324 - 
       (3031955*s[20])/1782 - (4491389*s[21])/7128 + (3020581*s[22])/7128 + 
       (574859*s[23])/792 + (6686791*s[24])/7128 - (17470925*s[25])/16038 + 
       (5036215*s[26])/8019 + s[34] - (4*s[36])/3 - s[37] + 21*s[38] - 
       81*s[39] + (283*s[40])/3 - (151*s[41])/2 + (667*s[42])/6 + 
       (3089*s[43])/33 - (2936*s[44])/33 + (2917*s[45])/22 - 
       (58741*s[46])/66 + (2797*s[47])/396 + (23653*s[48])/396 - 
       (163711*s[49])/396 + (22832*s[50])/33 + (30911*s[51])/396 + 
       (5882*s[52])/99 - (48805*s[53])/99 + (299*s[54])/66 - 
       (140747*s[55])/44 - (327865*s[56])/396 + (60901*s[57])/297 - 
       (4390037*s[58])/3564 + (4497695*s[59])/3564 + (17982763*s[60])/2376 - 
       (13580729*s[61])/32076 + 4*s[79] - 2*s[80] + 48*s[82] + 6*s[84] + 
       12*s[85]) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      ((-27*s[2])/4 + (5*s[3])/8 + (3455*s[4])/16 + (697*s[5])/44 + 
       (30879*s[6])/176 + (7369339*s[7])/3168 - (964355*s[8])/4752 - 
       (422765*s[9])/216 - (17900*s[10])/27 - (8436995*s[11])/3168 - 
       (4772081*s[12])/1584 - (5941411*s[13])/3168 + (408091*s[14])/3168 - 
       (895061*s[15])/288 - (3215965*s[16])/792 - (3000839*s[17])/1056 - 
       (136429*s[18])/648 - (805123*s[19])/1296 - (3891220*s[20])/891 - 
       (38578163*s[21])/28512 + (36230515*s[22])/28512 + 
       (4042771*s[23])/1584 + (41300615*s[24])/14256 - 
       (230238605*s[25])/64152 + (108557885*s[26])/64152 - (3*s[28])/8 + 
       4*s[29] - 2*s[30] + (17*s[31])/4 + 2*s[32] + (3*s[33])/4 - 
       (5*s[34])/4 + (3*s[35])/2 + (13*s[36])/2 + (71*s[37])/12 + 
       (681*s[38])/8 - (4269*s[39])/16 + (5049*s[40])/16 - (2149*s[41])/8 + 
       (1489*s[42])/4 + (40827*s[43])/176 - (101393*s[44])/352 + 
       (123569*s[45])/528 - (267413*s[46])/132 + (18173*s[47])/1056 + 
       (173999*s[48])/1056 - (1323611*s[49])/1056 + (308705*s[50])/176 + 
       (97927*s[51])/352 + (175039*s[52])/1056 - (101989*s[53])/99 - 
       (245507*s[54])/528 - (7190123*s[55])/1056 - (4998619*s[56])/3168 + 
       (10958573*s[57])/4752 - (94197689*s[58])/28512 + 
       (93654719*s[59])/28512 + (116744887*s[60])/6336 - 
       (97850449*s[61])/128304 + (21*s[65])/8 + 4*s[66] - 4*s[67] - 4*s[68] - 
       10*s[69] + (29*s[70])/4 - (21*s[71])/8 - 5*s[72] + 9*s[73] + 
       (7*s[74])/4 - (7*s[75])/4 + (7*s[76])/4 - (19*s[77])/4 - 13*s[78] + 
       68*s[79] - (38*s[80])/3 + (309*s[82])/2 - 9*s[83] + 18*s[84] + 
       12*s[85]) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      ((-21*s[2])/4 - (299*s[3])/8 + (891*s[4])/16 + (11503*s[5])/176 + 
       (592*s[6])/11 + (2078689*s[7])/1584 - (156269*s[8])/1584 - 
       (174499*s[9])/144 - (62387*s[10])/144 - (392065*s[11])/264 - 
       (880133*s[12])/528 - (1478651*s[13])/1584 - (108095*s[14])/528 - 
       (60475*s[15])/36 - (3556019*s[16])/1584 - (2410297*s[17])/1584 - 
       (31495*s[18])/108 - (67013*s[19])/432 - (13888091*s[20])/4752 - 
       (1698355*s[21])/1584 + (1809061*s[22])/2376 + (2353195*s[23])/1584 + 
       (3515329*s[24])/2376 - (17025997*s[25])/9504 + (9699409*s[26])/9504 - 
       s[30]/2 - 4*s[31] - (15*s[32])/8 - 3*s[33] + (19*s[34])/2 + 
       (3*s[35])/2 + (13*s[36])/2 + (71*s[37])/12 + (681*s[38])/8 - 
       (4269*s[39])/16 + (5049*s[40])/16 - (2149*s[41])/8 + (1489*s[42])/4 + 
       (40827*s[43])/176 - (101393*s[44])/352 + (123569*s[45])/528 - 
       (267413*s[46])/132 + (18173*s[47])/1056 + (173999*s[48])/1056 - 
       (1323611*s[49])/1056 + (308705*s[50])/176 + (97927*s[51])/352 + 
       (175039*s[52])/1056 - (101989*s[53])/99 - (245507*s[54])/528 - 
       (7190123*s[55])/1056 - (4998619*s[56])/3168 + (10958573*s[57])/4752 - 
       (94197689*s[58])/28512 + (93654719*s[59])/28512 + 
       (116744887*s[60])/6336 - (97850449*s[61])/128304 + (21*s[65])/8 + 
       4*s[66] - 4*s[67] - 4*s[68] - 10*s[69] + (29*s[70])/4 - (21*s[71])/8 - 
       5*s[72] + 9*s[73] + (7*s[74])/4 - (7*s[75])/4 + (7*s[76])/4 - 
       (19*s[77])/4 - 13*s[78] + 68*s[79] - (38*s[80])/3 + (309*s[82])/2 - 
       9*s[83] + 18*s[84] + 12*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*((43*s[2])/24 + (677*s[3])/48 + 
       (7599*s[4])/32 + (99173*s[5])/528 + (478601*s[6])/1056 + 
       (73912255*s[7])/19008 - (970895*s[8])/3168 - (474799*s[9])/144 - 
       (70247*s[10])/72 - (27010711*s[11])/6336 - (1233245*s[12])/264 - 
       (53140607*s[13])/19008 - (3533071*s[14])/6336 - (8899309*s[15])/1728 - 
       (30936779*s[16])/4752 - (94915267*s[17])/19008 - (508843*s[18])/648 - 
       (1226057*s[19])/2592 - (221818019*s[20])/28512 - 
       (162924497*s[21])/57024 + (38755111*s[22])/19008 + 
       (22610047*s[23])/4752 + (19564841*s[24])/4752 - 
       (693325469*s[25])/128304 + (193912579*s[26])/64152 - s[30]/2 + 
       (5*s[31])/6 + s[32]/3 + (11*s[33])/48 - 4*s[34] + s[35]/3 - 
       (83*s[36])/9 + (271*s[37])/24 + (857*s[38])/6 - (8765*s[39])/16 + 
       (88517*s[40])/144 - (22739*s[41])/48 + (113323*s[42])/144 + 
       (746479*s[43])/1584 - (779035*s[44])/1584 + (911657*s[45])/1584 - 
       (577289*s[46])/132 + (989843*s[47])/4752 + (157447*s[48])/2376 - 
       (4921885*s[49])/2376 + (324952*s[50])/99 + (2677531*s[51])/4752 + 
       (571123*s[52])/1188 - (3640999*s[53])/1584 + (18863*s[54])/66 - 
       (11601917*s[55])/792 - (9783461*s[56])/2376 + (59868085*s[57])/14256 - 
       (297413201*s[58])/42768 + (295121405*s[59])/42768 + 
       (1002153563*s[60])/28512 - (47910362*s[61])/24057 - s[68]/2 + 
       s[69]/2 - s[70]/2 - (13*s[71])/12 + (13*s[72])/6 + (3*s[73])/2 - 
       (23*s[74])/8 + (23*s[75])/8 - (5*s[76])/6 - (5*s[77])/12 + 
       (3*s[78])/2 + 45*s[79] - (299*s[80])/36 - 13*s[82] - s[83]/2 + 
       23*s[84] + 12*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      Omega2[v, w, u]*((-11*s[2])/12 + (839*s[3])/24 + (20651*s[4])/48 + 
       (33643*s[5])/132 + (373777*s[6])/528 + (60539365*s[7])/9504 - 
       (100107*s[8])/176 - (48028*s[9])/9 - (38801*s[10])/24 - 
       (22114441*s[11])/3168 - (676201*s[12])/88 - (43770101*s[13])/9504 - 
       (2133781*s[14])/3168 - (7320763*s[15])/864 - (12735601*s[16])/1188 - 
       (77716909*s[17])/9504 - (375487*s[18])/324 - (1196513*s[19])/1296 - 
       (178750493*s[20])/14256 - (126933011*s[21])/28512 + 
       (10548071*s[22])/3168 + (4626103*s[23])/594 + (16309597*s[24])/2376 - 
       (1154453341*s[25])/128304 + (623617933*s[26])/128304 + (8*s[30])/3 - 
       s[31]/3 - (7*s[32])/6 + (5*s[33])/8 + (2*s[34])/3 - (19*s[35])/2 - 
       (112*s[36])/9 + (877*s[37])/18 + (1201*s[38])/6 - (6785*s[39])/8 + 
       (68249*s[40])/72 - (17497*s[41])/24 + (89893*s[42])/72 + 
       (541135*s[43])/792 - (583105*s[44])/792 + (158005*s[45])/198 - 
       (5034257*s[46])/792 + (884093*s[47])/2376 - (25238*s[48])/297 - 
       (7196951*s[49])/2376 + (476270*s[50])/99 + (527341*s[51])/594 + 
       (869735*s[52])/1188 - (3972491*s[53])/1188 + (82207*s[54])/198 - 
       (2794279*s[55])/132 - (4648331*s[56])/792 + (16898575*s[57])/2376 - 
       (8212675*s[58])/792 + (6135677*s[59])/594 + (725193893*s[60])/14256 - 
       (357274943*s[61])/128304 + 2*s[66] - 2*s[67] + 2*s[68] - 7*s[69] - 
       s[70] + 3*s[72] + (7*s[73])/3 - (15*s[74])/4 + (15*s[75])/4 - 
       7*s[76] + s[77]/6 + s[78]/3 + 102*s[79] - (233*s[80])/9 + 64*s[82] - 
       s[83] + 30*s[84] + 12*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u]*(s[2] - (73*s[3])/4 + (1805*s[4])/8 + 
       118*s[5] + (2969*s[6])/8 + (449765*s[7])/144 - (7993*s[8])/24 - 
       (15797*s[9])/6 - (7597*s[10])/12 - (169343*s[11])/48 - 4031*s[12] - 
       (357583*s[13])/144 - (5327*s[14])/48 - (540577*s[15])/144 - 
       (359999*s[16])/72 - (492803*s[17])/144 - (31087*s[18])/54 - 
       (70745*s[19])/216 - (1250431*s[20])/216 - (889681*s[21])/432 + 
       (239483*s[22])/144 + (321385*s[23])/72 + (227411*s[24])/72 - 
       (8977133*s[25])/1944 + (4693223*s[26])/1944 + 2*s[30] + 2*s[31] - 
       s[32]/2 - (19*s[33])/4 - 4*s[34] - 9*s[35] - (21*s[36])/2 + 
       (83*s[37])/2 + (229*s[38])/2 - (4523*s[39])/8 + (5039*s[40])/8 - 
       (3821*s[41])/8 + (6897*s[42])/8 + (35413*s[43])/88 - 
       (84649*s[44])/176 + (7715*s[45])/22 - (302455*s[46])/88 + 
       (146099*s[47])/528 - (66091*s[48])/528 - (935585*s[49])/528 + 
       (55255*s[50])/22 + (323377*s[51])/528 + (255487*s[52])/528 - 
       (445625*s[53])/264 + (19271*s[54])/44 - (1817931*s[55])/176 - 
       (575689*s[56])/176 + (854999*s[57])/132 - (9966659*s[58])/1584 + 
       (9638525*s[59])/1584 + (82519463*s[60])/3168 - (6988975*s[61])/4752 - 
       2*s[70] + (3*s[71])/2 + 4*s[72] - (7*s[74])/2 + (9*s[75])/2 - 
       6*s[76] + 4*s[78] + 72*s[79] - 34*s[80] + 42*s[82] + 6*s[83] + 
       30*s[84] + 12*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u]*(s[2] + 43*s[3] + 250*s[4] + (1179*s[5])/11 + 
       (8025*s[6])/22 + (2360011*s[7])/792 - (6965*s[8])/22 - 
       (29707*s[9])/12 - (2387*s[10])/4 - (883675*s[11])/264 - 
       (42164*s[12])/11 - (1833311*s[13])/792 - (25945*s[14])/264 - 
       (262663*s[15])/72 - (1918075*s[16])/396 - (2628877*s[17])/792 - 
       (74281*s[18])/108 - (22649*s[19])/108 - (1661750*s[20])/297 - 
       (4762499*s[21])/2376 + (136997*s[22])/88 + (503915*s[23])/99 + 
       (1108139*s[24])/396 - (93656147*s[25])/21384 + 
       (49705349*s[26])/21384 + 3*s[30] + 2*s[31] - s[32]/2 + s[33] - 
       4*s[34] - 9*s[35] - (21*s[36])/2 + (83*s[37])/2 + (229*s[38])/2 - 
       (4523*s[39])/8 + (5039*s[40])/8 - (3821*s[41])/8 + (6897*s[42])/8 + 
       (35413*s[43])/88 - (84649*s[44])/176 + (7715*s[45])/22 - 
       (302455*s[46])/88 + (146099*s[47])/528 - (66091*s[48])/528 - 
       (935585*s[49])/528 + (55255*s[50])/22 + (323377*s[51])/528 + 
       (255487*s[52])/528 - (445625*s[53])/264 + (19271*s[54])/44 - 
       (1817931*s[55])/176 - (575689*s[56])/176 + (854999*s[57])/132 - 
       (9966659*s[58])/1584 + (9638525*s[59])/1584 + (82519463*s[60])/3168 - 
       (6988975*s[61])/4752 - 2*s[70] + (3*s[71])/2 + 4*s[72] - (7*s[74])/2 + 
       (9*s[75])/2 - 6*s[76] + 4*s[78] + 72*s[79] - 34*s[80] + 42*s[82] + 
       6*s[83] + 30*s[84] + 12*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      Omega2[w, u, v]*(3*s[2] + (63*s[3])/4 + (3601*s[4])/8 + 
       (13521*s[5])/44 + (69559*s[6])/88 + (1226133*s[7])/176 - 
       (1447709*s[8])/2376 - (634103*s[9])/108 - (185671*s[10])/108 - 
       (12120467*s[11])/1584 - (6679097*s[12])/792 - (8015555*s[13])/1584 - 
       (1217045*s[14])/1584 - (1314239*s[15])/144 - (9208801*s[16])/792 - 
       (13951541*s[17])/1584 - (220919*s[18])/162 - (570145*s[19])/648 - 
       (97611163*s[20])/7128 - (70901855*s[21])/14256 + 
       (52120987*s[22])/14256 + (875725*s[23])/99 + (13052867*s[24])/1782 - 
       (628440391*s[25])/64152 + (344759149*s[26])/64152 + s[30] + 2*s[31] - 
       2*s[32] - (3*s[33])/4 - 3*s[34] + s[35] - 14*s[36] + (211*s[37])/6 + 
       (1387*s[38])/6 - (2995*s[39])/3 + (3340*s[40])/3 - (1715*s[41])/2 + 
       (4436*s[42])/3 + (51365*s[43])/66 - (75277*s[44])/88 + 
       (118045*s[45])/132 - (957305*s[46])/132 + (117719*s[47])/264 - 
       (32101*s[48])/264 - (920867*s[49])/264 + (359459*s[50])/66 + 
       (827087*s[51])/792 + (227569*s[52])/264 - (376555*s[53])/99 + 
       (15415*s[54])/33 - (2102787*s[55])/88 - (5288935*s[56])/792 + 
       (10512989*s[57])/1188 - (85657739*s[58])/7128 + 
       (85243883*s[59])/7128 + (90712087*s[60])/1584 - 
       (51265901*s[61])/16038 + 2*s[68] - 2*s[69] - 4*s[70] + 4*s[72] - 
       (11*s[74])/2 + (11*s[75])/2 - 4*s[76] + 4*s[77] + 4*s[78] + 
       104*s[79] - (95*s[80])/3 + 21*s[82] + 48*s[84] + 12*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Omega2[u, v, w]*
      ((-19*s[2])/12 + (631*s[3])/24 + (33355*s[4])/48 + (13061*s[5])/33 + 
       (553165*s[6])/528 + (30345871*s[7])/3168 - (4107281*s[8])/4752 - 
       (216901*s[9])/27 - (486793*s[10])/216 - (33548501*s[11])/3168 - 
       (9340753*s[12])/792 - (22641403*s[13])/3168 - (2192345*s[14])/3168 - 
       (3583769*s[15])/288 - (12553687*s[16])/792 - (12355769*s[17])/1056 - 
       (574739*s[18])/324 - (1698805*s[19])/1296 - (262656337*s[20])/14256 - 
       (185410463*s[21])/28512 + (143340955*s[22])/28512 + 
       (10014335*s[23])/792 + (36118571*s[24])/3564 - 
       (1768760815*s[25])/128304 + (938409223*s[26])/128304 + (7*s[30])/3 - 
       s[31]/3 + (4*s[32])/3 - (169*s[33])/24 - (5*s[34])/3 - (37*s[35])/6 - 
       (59*s[36])/2 + (163*s[37])/4 + (777*s[38])/2 - (4571*s[39])/3 + 
       (10201*s[40])/6 - (15979*s[41])/12 + 2201*s[42] + (42727*s[43])/33 - 
       (725881*s[44])/528 + (383149*s[45])/264 - (3039679*s[46])/264 + 
       (861095*s[47])/1584 + (154895*s[48])/1584 - (9146765*s[49])/1584 + 
       (288448*s[50])/33 + (2464423*s[51])/1584 + (2021113*s[52])/1584 - 
       (601802*s[53])/99 + (19034*s[54])/33 - (60789115*s[55])/1584 - 
       (16380491*s[56])/1584 + (27422863*s[57])/2376 - 
       (260854015*s[58])/14256 + (262419925*s[59])/14256 + 
       (883111649*s[60])/9504 - (635323729*s[61])/128304 + 2*s[66] - 
       2*s[67] - 3*s[68] - s[69] - 3*s[70] - 2*s[71] + (7*s[72])/3 + 
       5*s[73] - (91*s[74])/12 + (91*s[75])/12 - (7*s[76])/3 + (3*s[77])/2 - 
       (13*s[78])/3 + 140*s[79] - (151*s[80])/6 - 31*s[82] + 2*s[83] + 
       80*s[84] + 12*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v]*((33*s[2])/2 + 3*s[3] + (9447*s[4])/8 + 
       (18721*s[5])/22 + (187797*s[6])/88 + (4808513*s[7])/264 - 
       (640609*s[8])/396 - (553373*s[9])/36 - (75767*s[10])/18 - 
       (5319289*s[11])/264 - (739708*s[12])/33 - (3584981*s[13])/264 - 
       (473485*s[14])/264 - (187701*s[15])/8 - (7947743*s[16])/264 - 
       (1963937*s[17])/88 - (799997*s[18])/216 - (433207*s[19])/216 - 
       (83981245*s[20])/2376 - (15505631*s[21])/1188 + 
       (22739507*s[22])/2376 + (6495163*s[23])/264 + (44594975*s[24])/2376 - 
       (552596665*s[25])/21384 + (304400335*s[26])/21384 + 6*s[30] + 
       12*s[31] - (45*s[32])/4 + (15*s[33])/4 - (33*s[34])/2 - 3*s[35] - 
       (197*s[36])/4 + (393*s[37])/4 + (3099*s[38])/4 - (50689*s[39])/16 + 
       (55941*s[40])/16 - (43043*s[41])/16 + (74071*s[42])/16 + 
       (445095*s[43])/176 - (953493*s[44])/352 + (114677*s[45])/44 - 
       (3847629*s[46])/176 + (1436659*s[47])/1056 - (267527*s[48])/1056 - 
       (11878153*s[49])/1056 + (721161*s[50])/44 + (1121591*s[51])/352 + 
       (2807063*s[52])/1056 - (6033095*s[53])/528 + (129453*s[54])/88 - 
       (25055159*s[55])/352 - (20750131*s[56])/1056 + (5478691*s[57])/198 - 
       (344929589*s[58])/9504 + (346604003*s[59])/9504 + 
       (1097202031*s[60])/6336 - (800006687*s[61])/85536 - (3*s[62])/4 - 
       6*s[66] + 6*s[67] - 3*s[68] + 15*s[69] - (45*s[70])/2 - (9*s[71])/4 + 
       18*s[72] - 6*s[73] - (57*s[74])/4 + (57*s[75])/4 - 18*s[76] + 
       (21*s[77])/2 + 33*s[78] + 252*s[79] - (105*s[80])/2 - 192*s[82] - 
       9*s[83] + 90*s[84] + 12*s[85]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*((449*s[2])/36 + (3281*s[3])/36 + 
       (134023*s[4])/144 + (837245*s[5])/1584 + (5044265*s[6])/3168 + 
       (127058959*s[7])/9504 - (33062267*s[8])/28512 - (28891279*s[9])/2592 - 
       (4289881*s[10])/1296 - (281005511*s[11])/19008 - 
       (311626063*s[12])/19008 - (15740827*s[13])/1584 - (781123*s[14])/594 - 
       (14930947*s[15])/864 - (70629467*s[16])/3168 - 
       (315884653*s[17])/19008 - (9656377*s[18])/3888 - (1813373*s[19])/972 - 
       (556862329*s[20])/21384 - (98279825*s[21])/10692 + 
       (298710583*s[22])/42768 + (11817195*s[23])/704 + 
       (2442598639*s[24])/171072 - (29461573505*s[25])/1539648 + 
       (15727078307*s[26])/1539648 - s[28]/3 - s[29] + (25*s[30])/36 + 
       (55*s[31])/18 - (397*s[32])/72 - (199*s[33])/18 + (13*s[34])/9 - 
       (17*s[35])/9 - (57*s[36])/2 + (9463*s[37])/144 + (27695*s[38])/72 - 
       (14368*s[39])/9 + (16315*s[40])/9 - (198301*s[41])/144 + 
       (338911*s[42])/144 + (3962*s[43])/3 - (839177*s[44])/576 + 
       (436285*s[45])/288 - (384999*s[46])/32 + (1059481*s[47])/1728 + 
       (149929*s[48])/1728 - (10143415*s[49])/1728 + (431293*s[50])/48 + 
       (961735*s[51])/576 + (2356025*s[52])/1728 - (5376985*s[53])/864 + 
       (60235*s[54])/72 - (67650197*s[55])/1728 - (6409883*s[56])/576 + 
       (11922737*s[57])/864 - (101831281*s[58])/5184 + 
       (100420237*s[59])/5184 + (993792115*s[60])/10368 - 
       (20542891*s[61])/3888 - s[64]/2 + s[65]/6 + (17*s[66])/6 - 
       (11*s[67])/6 + (43*s[68])/6 - (23*s[69])/6 - (13*s[70])/3 - 
       (23*s[71])/24 + (37*s[72])/9 + 8*s[73] - (76*s[74])/9 + (67*s[75])/9 - 
       (161*s[76])/18 + (107*s[77])/6 - (53*s[78])/18 + (1033*s[79])/6 - 
       (1165*s[80])/24 + (45*s[82])/2 + (5*s[83])/3 + (577*s[84])/6 + 
       (41*s[85])/3) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^3*
      ((-451*s[2])/48 + (145*s[3])/96 + (71833*s[4])/192 + (11513*s[5])/66 + 
       (359273*s[6])/704 + (184801031*s[7])/38016 - (9215719*s[8])/19008 - 
       (1753937*s[9])/432 - (972815*s[10])/864 - (7587511*s[11])/1408 - 
       (598540*s[12])/99 - (138733351*s[13])/38016 - (827357*s[14])/4224 - 
       (21744041*s[15])/3456 - (19138747*s[16])/2376 - 
       (223288427*s[17])/38016 - (9965*s[18])/12 - (1272421*s[19])/1728 - 
       (58325243*s[20])/6336 - (356944145*s[21])/114048 + 
       (291357629*s[22])/114048 + (61906751*s[23])/9504 + 
       (36848939*s[24])/7128 - (3649742245*s[25])/513216 + 
       (1874915749*s[26])/513216 - (4*s[29])/3 + (8*s[30])/3 - (11*s[31])/4 + 
       (11*s[32])/8 - (731*s[33])/96 + (7*s[34])/12 - (9*s[35])/8 - 
       (1177*s[36])/72 + (4277*s[37])/144 + (4531*s[38])/24 - 
       (37711*s[39])/48 + (126911*s[40])/144 - (2763*s[41])/4 + 
       (164371*s[42])/144 + (1094539*s[43])/1584 - (4674781*s[44])/6336 + 
       (2592583*s[45])/3168 - (6716533*s[46])/1056 + (4822523*s[47])/19008 + 
       (1828103*s[48])/19008 - (59937521*s[49])/19008 + (486352*s[50])/99 + 
       (14993239*s[51])/19008 + (11898505*s[52])/19008 - (604999*s[53])/176 + 
       (23251*s[54])/132 - (45832055*s[55])/2112 - (108470695*s[56])/19008 + 
       (149506481*s[57])/28512 - (1669258307*s[58])/171072 + 
       (1695266561*s[59])/171072 + (5930604857*s[60])/114048 - 
       (4263471485*s[61])/1539648 + s[64]/12 - (7*s[65])/12 - (2*s[66])/3 + 
       (13*s[67])/12 - s[68]/2 + 2*s[69] - (13*s[70])/6 + s[71]/12 + 
       (35*s[72])/12 - (29*s[73])/4 - (197*s[74])/48 + (197*s[75])/48 - 
       (5*s[76])/2 + (37*s[77])/24 + (19*s[78])/12 + (230*s[79])/3 - 
       (1657*s[80])/72 + s[81]/72 + (121*s[82])/2 + (5*s[83])/2 + 40*s[84] + 
       15*s[85]) + HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v]*
      ((-2873*s[2])/144 + (24533*s[3])/288 - (122503*s[4])/576 - 
       (703259*s[5])/1584 - (3438829*s[6])/6336 - (88525541*s[7])/12672 + 
       (26578997*s[8])/57024 + (3979211*s[9])/648 + (5386471*s[10])/2592 + 
       (289667981*s[11])/38016 + (77784013*s[12])/9504 + 
       (178441955*s[13])/38016 + (50029361*s[14])/38016 + 
       (32776561*s[15])/3456 + (113198549*s[16])/9504 + 
       (358130459*s[17])/38016 + (2709085*s[18])/1944 + 
       (15199021*s[19])/15552 + (2524023805*s[20])/171072 + 
       (1953319655*s[21])/342144 - (1296638203*s[22])/342144 - 
       (65731267*s[23])/9504 - (163319935*s[24])/21384 + 
       (14212973509*s[25])/1539648 - (8383804549*s[26])/1539648 + 
       (37*s[30])/18 - (395*s[31])/36 + (1219*s[32])/72 - (2957*s[33])/288 + 
       (188*s[34])/9 - (1313*s[35])/72 + (2203*s[36])/72 - (1197*s[37])/16 - 
       (5161*s[38])/24 + (34859*s[39])/36 - (72275*s[40])/72 + 
       (104851*s[41])/144 - (13096*s[42])/9 - (211319*s[43])/396 + 
       (4685027*s[44])/6336 - (1329979*s[45])/3168 + (5085019*s[46])/1056 - 
       (11156113*s[47])/19008 + (9369359*s[48])/19008 + 
       (57312907*s[49])/19008 - (1475987*s[50])/396 - 
       (17514281*s[51])/19008 - (14681531*s[52])/19008 + 
       (11503891*s[53])/4752 + (11624*s[54])/99 + (273914053*s[55])/19008 + 
       (67610341*s[56])/19008 - (288889751*s[57])/28512 + 
       (1538619413*s[58])/171072 - (1534363979*s[59])/171072 - 
       (4250346007*s[60])/114048 + (2584586993*s[61])/1539648 + s[64]/2 + 
       (7*s[65])/4 + (22*s[66])/3 - (121*s[67])/12 + (7*s[68])/6 - 
       (77*s[69])/6 + (133*s[70])/6 - (13*s[71])/2 - (391*s[72])/36 + 
       (157*s[73])/12 + (1519*s[74])/144 - (1141*s[75])/144 + (5*s[76])/18 - 
       (527*s[77])/24 - (743*s[78])/36 - (157*s[79])/3 + (2629*s[80])/72 - 
       s[81]/12 - (475*s[82])/2 + (55*s[83])/12 - (53*s[84])/3 + 
       (46*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - w]*((4*s[2])/3 + 9*s[3] + (15*s[4])/2 + 
       (241*s[5])/3 + (813*s[6])/8 + (75869*s[7])/72 - (4223*s[8])/216 - 
       (198497*s[9])/216 - (10514*s[10])/27 - (153515*s[11])/144 - 
       (149857*s[12])/144 - (21133*s[13])/36 - (4394*s[14])/9 - 
       (36929*s[15])/24 - (65857*s[16])/36 - (80965*s[17])/48 - 
       (16628*s[18])/81 - (14833*s[19])/81 - (788345*s[20])/324 - 
       (601849*s[21])/648 + (354047*s[22])/648 + (39731*s[23])/144 + 
       (1630393*s[24])/1296 - (14153837*s[25])/11664 + 
       (9119543*s[26])/11664 + (13*s[33])/3 - (4*s[34])/3 - (26*s[35])/3 + 
       (106*s[36])/9 - (196*s[37])/9 + 5*s[38] + (185*s[39])/6 - 
       (479*s[40])/18 + (37*s[41])/3 - (668*s[42])/9 + (1138*s[43])/99 + 
       (13*s[44])/792 + (57071*s[45])/396 - (74615*s[46])/132 - 
       (50701*s[47])/1188 + (113375*s[48])/1188 - (30865*s[49])/2376 + 
       (172927*s[50])/396 - (49945*s[51])/2376 - (61705*s[52])/2376 - 
       (3477*s[53])/11 + (16273*s[54])/132 - (321019*s[55])/132 - 
       (1808141*s[56])/2376 - (1705465*s[57])/1782 - (12869809*s[58])/21384 + 
       (11267665*s[59])/21384 + (71038339*s[60])/14256 - 
       (42123875*s[61])/96228 - s[62] - 3*s[71] + (2*s[74])/3 - (2*s[75])/3 - 
       (8*s[79])/3 + (103*s[80])/9 + 25*s[82] + 16*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((4*s[2])/3 + 14*s[3] - (45*s[4])/2 + (345*s[5])/44 + 
       (15095*s[6])/264 + (215833*s[7])/2376 + (120775*s[8])/7128 - 
       (33433*s[9])/648 - (18595*s[10])/324 - (288407*s[11])/4752 - 
       (97357*s[12])/4752 + (4265*s[13])/264 - (65885*s[14])/297 - 
       (8483*s[15])/72 - (39707*s[16])/396 - (887815*s[17])/4752 - 
       (27784*s[18])/243 + (75763*s[19])/972 - (6834691*s[20])/21384 - 
       (557819*s[21])/2673 + (206279*s[22])/21384 + (2767*s[23])/528 + 
       (72337*s[24])/42768 + (9916141*s[25])/384912 + 
       (45633839*s[26])/384912 + (2*s[30])/3 + (4*s[34])/3 - (26*s[35])/3 + 
       (106*s[36])/9 - (196*s[37])/9 + 5*s[38] + (185*s[39])/6 - 
       (479*s[40])/18 + (37*s[41])/3 - (668*s[42])/9 + (1138*s[43])/99 + 
       (13*s[44])/792 + (57071*s[45])/396 - (74615*s[46])/132 - 
       (50701*s[47])/1188 + (113375*s[48])/1188 - (30865*s[49])/2376 + 
       (172927*s[50])/396 - (49945*s[51])/2376 - (61705*s[52])/2376 - 
       (3477*s[53])/11 + (16273*s[54])/132 - (321019*s[55])/132 - 
       (1808141*s[56])/2376 - (1705465*s[57])/1782 - (12869809*s[58])/21384 + 
       (11267665*s[59])/21384 + (71038339*s[60])/14256 - 
       (42123875*s[61])/96228 - s[62] - 3*s[71] + (2*s[74])/3 - (2*s[75])/3 - 
       (8*s[79])/3 + (103*s[80])/9 + 25*s[82] + 16*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Omega2[u, v, w]*
      ((4*s[2])/3 - s[3]/2 + (205*s[4])/4 + (1201*s[5])/33 + 
       (11837*s[6])/132 + (135659*s[7])/132 - (7087*s[8])/99 - 
       (31631*s[9])/36 - (12181*s[10])/36 - (49189*s[11])/44 - 
       (78289*s[12])/66 - (92071*s[13])/132 - (1818*s[14])/11 - 
       (51535*s[15])/36 - (234545*s[16])/132 - (47516*s[17])/33 - 
       (15133*s[18])/108 - (24893*s[19])/108 - (2527601*s[20])/1188 - 
       (871925*s[21])/1188 + (649591*s[22])/1188 + (101927*s[23])/132 + 
       (1468015*s[24])/1188 - (7503157*s[25])/5346 + (2015294*s[26])/2673 + 
       s[32] + s[33]/3 - (4*s[34])/3 - (20*s[35])/3 - (26*s[36])/9 - 
       (22*s[37])/9 + 28*s[38] - (637*s[39])/6 + (2215*s[40])/18 - 
       (643*s[41])/6 + (2603*s[42])/18 + (25163*s[43])/198 - 
       (50485*s[44])/396 + (15269*s[45])/99 - (73837*s[46])/66 + 
       (221*s[47])/1188 + (113015*s[48])/1188 - (180662*s[49])/297 + 
       (92824*s[50])/99 + (65837*s[51])/594 + (69439*s[52])/1188 - 
       (61964*s[53])/99 - (8537*s[54])/66 - (532133*s[55])/132 - 
       (530627*s[56])/594 + (47021*s[57])/1782 - (7711765*s[58])/5346 + 
       (8059345*s[59])/5346 + (35830831*s[60])/3564 - 
       (44463935*s[61])/96228 + 4*s[70] - s[74]/3 + s[75]/3 - 4*s[77] + 
       (40*s[79])/3 - (20*s[80])/9 + 80*s[82] + 16*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Ot[u, v, w]*((4*s[2])/3 + 9*s[3] - 
       (35*s[4])/2 + (87*s[5])/4 + (715*s[6])/24 + (44747*s[7])/216 + 
       (5615*s[8])/648 - (107515*s[9])/648 - (43141*s[10])/324 - 
       (83371*s[11])/432 - (59813*s[12])/432 - (1223*s[13])/24 - 
       (21487*s[14])/108 - (28043*s[15])/72 - (15541*s[16])/36 - 
       (223499*s[17])/432 - (42163*s[18])/972 - (16469*s[19])/243 - 
       (1159949*s[20])/1944 - (244135*s[21])/972 + (187981*s[22])/1944 - 
       (9937*s[23])/48 + (1326725*s[24])/3888 - (5893867*s[25])/34992 + 
       (5727367*s[26])/34992 - (4*s[30])/3 + (4*s[34])/3 + (16*s[35])/3 + 
       (28*s[36])/9 - (137*s[37])/18 - 12*s[38] + (151*s[39])/3 - 
       (445*s[40])/9 + (115*s[41])/3 - (1501*s[42])/18 - (47*s[43])/18 + 
       (845*s[44])/72 + (1181*s[45])/18 - (571*s[46])/3 - (3163*s[47])/54 + 
       (2521*s[48])/27 - (485*s[49])/216 + (6221*s[50])/36 - 
       (14597*s[51])/216 - (11837*s[52])/216 - (601*s[53])/4 - 
       (547*s[54])/12 - (7009*s[55])/6 - (56341*s[56])/216 - 
       (192413*s[57])/162 + (103225*s[58])/1944 - (13243*s[59])/1944 + 
       (2810021*s[60])/1296 - (3114983*s[61])/17496 + (2*s[74])/3 - 
       (2*s[75])/3 - (32*s[79])/3 + (16*s[80])/9 + 91*s[82] + 16*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Ot[u, v, w]*((4*s[2])/3 + 9*s[3] - 
       (47*s[4])/2 + (343*s[5])/12 + (293*s[6])/8 + (14531*s[7])/72 + 
       (2377*s[8])/216 - (36917*s[9])/216 - (14333*s[10])/108 - 
       (25937*s[11])/144 - (16723*s[12])/144 - (1345*s[13])/36 - 
       (4363*s[14])/18 - (9257*s[15])/24 - (15919*s[16])/36 - 
       (26131*s[17])/48 - (3962*s[18])/81 - (17917*s[19])/324 - 
       (201533*s[20])/324 - (174379*s[21])/648 + (61769*s[22])/648 - 
       (37771*s[23])/144 + (415243*s[24])/1296 - (1635041*s[25])/11664 + 
       (1871795*s[26])/11664 + (4*s[33])/3 + (8*s[34])/3 + (16*s[35])/3 + 
       (28*s[36])/9 - (137*s[37])/18 - 12*s[38] + (151*s[39])/3 - 
       (445*s[40])/9 + (115*s[41])/3 - (1501*s[42])/18 - (47*s[43])/18 + 
       (845*s[44])/72 + (1181*s[45])/18 - (571*s[46])/3 - (3163*s[47])/54 + 
       (2521*s[48])/27 - (485*s[49])/216 + (6221*s[50])/36 - 
       (14597*s[51])/216 - (11837*s[52])/216 - (601*s[53])/4 - 
       (547*s[54])/12 - (7009*s[55])/6 - (56341*s[56])/216 - 
       (192413*s[57])/162 + (103225*s[58])/1944 - (13243*s[59])/1944 + 
       (2810021*s[60])/1296 - (3114983*s[61])/17496 + (2*s[74])/3 - 
       (2*s[75])/3 - (32*s[79])/3 + (16*s[80])/9 + 91*s[82] + 16*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*M1[w, v, u]*((4*s[2])/3 + (17*s[3])/4 + 
       (115*s[4])/8 + (944*s[5])/33 + (5261*s[6])/88 + (103013*s[7])/176 - 
       (71351*s[8])/2376 - (53777*s[9])/108 - (24163*s[10])/108 - 
       (992693*s[11])/1584 - (63445*s[12])/99 - (577895*s[13])/1584 - 
       (295589*s[14])/1584 - (40541*s[15])/48 - (836521*s[16])/792 - 
       (1454975*s[17])/1584 - (7438*s[18])/81 - (87013*s[19])/648 - 
       (9303421*s[20])/7128 - (6731363*s[21])/14256 + (4386847*s[22])/14256 + 
       (193781*s[23])/792 + (5313479*s[24])/7128 - (5999969*s[25])/8019 + 
       (13992533*s[26])/32076 + s[32]/2 + (5*s[33])/6 + (2*s[34])/3 - 
       (2*s[35])/3 + s[36]/9 - (28*s[37])/9 + 8*s[38] - (341*s[39])/12 + 
       (1343*s[40])/36 - (419*s[41])/12 + (1129*s[42])/36 + 
       (22681*s[43])/396 - (46991*s[44])/792 + (10163*s[45])/99 - 
       (82457*s[46])/132 - (63923*s[47])/2376 + (229975*s[48])/2376 - 
       (712519*s[49])/2376 + (52750*s[50])/99 + (57467*s[51])/2376 + 
       (5981*s[52])/2376 - (47339*s[53])/132 - (6577*s[54])/66 - 
       (638677*s[55])/264 - (1314101*s[56])/2376 - (811939*s[57])/1782 - 
       (14808385*s[58])/21384 + (15389947*s[59])/21384 + 
       (83499481*s[60])/14256 - (59249137*s[61])/192456 + 2*s[70] + s[74]/6 - 
       s[75]/6 - 2*s[77] + (4*s[79])/3 - (2*s[80])/9 + 97*s[82] + 16*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((4*s[2])/3 + (21*s[3])/2 - (137*s[4])/4 + (1831*s[5])/44 + 
       (14807*s[6])/264 + (114500*s[7])/297 + (85351*s[8])/7128 - 
       (185659*s[9])/648 - (69841*s[10])/324 - (1365455*s[11])/4752 - 
       (800707*s[12])/4752 - (9227*s[13])/198 - (1048459*s[14])/2376 - 
       (9709*s[15])/12 - (31675*s[16])/44 - (4599835*s[17])/4752 - 
       (97105*s[18])/972 - (72323*s[19])/972 - (23948245*s[20])/21384 - 
       (10941625*s[21])/21384 + (1639399*s[22])/10692 - (615037*s[23])/1584 + 
       (23707435*s[24])/42768 - (77991953*s[25])/384912 + 
       (121270757*s[26])/384912 - (4*s[30])/3 + (4*s[34])/3 + (16*s[35])/3 + 
       (37*s[36])/9 - (329*s[37])/18 - 55*s[38] + (2023*s[39])/12 - 
       (6217*s[40])/36 + (1801*s[41])/12 - (8717*s[42])/36 - 
       (30653*s[43])/396 + (22549*s[44])/198 + (4118*s[45])/99 + 
       (7331*s[46])/44 - (281471*s[47])/2376 + (181123*s[48])/2376 + 
       (564013*s[49])/1188 - (77333*s[50])/396 - (140935*s[51])/594 - 
       (123095*s[52])/1188 + (641*s[53])/198 + (14763*s[54])/44 - 
       (47985*s[55])/88 - (165575*s[56])/594 - (5054659*s[57])/1782 + 
       (2260840*s[58])/2673 - (2118991*s[59])/2673 - (5224889*s[60])/3564 - 
       (4201625*s[61])/24057 + 3*s[71] + (2*s[74])/3 - (2*s[75])/3 - 
       (56*s[79])/3 - (122*s[80])/9 + 100*s[82] + 16*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((4*s[2])/3 + 9*s[3] - (237*s[4])/2 + (5153*s[5])/132 + 
       (4911*s[6])/88 - (427145*s[7])/792 + (214543*s[8])/2376 + 
       (103847*s[9])/216 + (7031*s[10])/108 + (1169857*s[11])/1584 + 
       (1556459*s[12])/1584 + (28097*s[13])/44 - (97975*s[14])/198 + 
       (38939*s[15])/72 + (57241*s[16])/66 + (319241*s[17])/1584 - 
       (5603*s[18])/162 + (70045*s[19])/324 + (2471365*s[20])/3564 + 
       (74207*s[21])/7128 - (2473045*s[22])/7128 - (658859*s[23])/528 - 
       (10116647*s[24])/14256 + (151802137*s[25])/128304 - 
       (41989339*s[26])/128304 - (19*s[33])/6 + (26*s[34])/3 + (16*s[35])/3 + 
       (37*s[36])/9 - (329*s[37])/18 - 55*s[38] + (2023*s[39])/12 - 
       (6217*s[40])/36 + (1801*s[41])/12 - (8717*s[42])/36 - 
       (30653*s[43])/396 + (22549*s[44])/198 + (4118*s[45])/99 + 
       (7331*s[46])/44 - (281471*s[47])/2376 + (181123*s[48])/2376 + 
       (564013*s[49])/1188 - (77333*s[50])/396 - (140935*s[51])/594 - 
       (123095*s[52])/1188 + (641*s[53])/198 + (14763*s[54])/44 - 
       (47985*s[55])/88 - (165575*s[56])/594 - (5054659*s[57])/1782 + 
       (2260840*s[58])/2673 - (2118991*s[59])/2673 - (5224889*s[60])/3564 - 
       (4201625*s[61])/24057 + 3*s[71] + (2*s[74])/3 - (2*s[75])/3 - 
       (56*s[79])/3 - (122*s[80])/9 + 100*s[82] + 16*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((647*s[2])/12 + (1219*s[3])/24 - (27665*s[4])/48 - (7*s[5])/6 - 
       (11521*s[6])/48 - (1104863*s[7])/288 + (81539*s[8])/144 + 
       (110267*s[9])/36 + (45659*s[10])/72 + (398951*s[11])/96 + 
       (28559*s[12])/6 + (835903*s[13])/288 - (89473*s[14])/96 + 
       (1471795*s[15])/288 + (218039*s[16])/36 + (1207595*s[17])/288 + 
       (33449*s[18])/108 + (387469*s[19])/432 + (2558087*s[20])/432 + 
       (335683*s[21])/288 - (1725709*s[22])/864 - (500357*s[23])/72 - 
       (214225*s[24])/54 + (2704927*s[25])/432 - (1016443*s[26])/432 + 
       s[28] + 2*s[29] - (5*s[30])/3 + (83*s[31])/3 - (25*s[32])/6 + 
       (1145*s[33])/24 - (50*s[34])/3 - (145*s[35])/6 + (125*s[36])/2 - 
       (775*s[37])/12 - (429*s[38])/2 + (10819*s[39])/12 - (12313*s[40])/12 + 
       (2675*s[41])/3 - (5339*s[42])/4 - (123077*s[43])/132 + 
       (487835*s[44])/528 - (307357*s[45])/264 + (2325181*s[46])/264 - 
       (70381*s[47])/1584 - (483937*s[48])/1584 + (6388039*s[49])/1584 - 
       (238358*s[50])/33 - (1524161*s[51])/1584 - (1071311*s[52])/1584 + 
       (234433*s[53])/44 - (5655*s[54])/11 + (52310705*s[55])/1584 + 
       (12282401*s[56])/1584 - (916783*s[57])/2376 + (161116981*s[58])/
        14256 - (175936831*s[59])/14256 - (701867767*s[60])/9504 + 
       (454834927*s[61])/128304 - s[64] + 3*s[65] - 4*s[66] + 5*s[67] + 
       22*s[68] - 2*s[69] + 12*s[70] + 3*s[71] + s[72]/3 + 21*s[73] + 
       (125*s[74])/12 - (125*s[75])/12 - (28*s[76])/3 + (17*s[77])/2 + 
       (101*s[78])/3 - 172*s[79] + (163*s[80])/6 - s[81]/6 + 256*s[82] - 
       (53*s[83])/2 - 193*s[84] + 16*s[85]) + HPL[{1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]^2*(-2*s[2] - (53*s[3])/4 - (3315*s[4])/8 - 
       (57447*s[5])/176 - (122509*s[6])/176 - (444265*s[7])/66 + 
       (893701*s[8])/1584 + (820751*s[9])/144 + (242599*s[10])/144 + 
       (3936065*s[11])/528 + (4350667*s[12])/528 + (1307353*s[13])/264 + 
       (90485*s[14])/132 + (141837*s[15])/16 + (2992867*s[16])/264 + 
       (2251333*s[17])/264 + (541741*s[18])/432 + (104429*s[19])/108 + 
       (31533631*s[20])/2376 + (23094593*s[21])/4752 - (8447309*s[22])/2376 - 
       (1107487*s[23])/132 - (17238053*s[24])/2376 + (814214713*s[25])/
        85536 - (446265877*s[26])/85536 - s[30] - 2*s[31] + (31*s[33])/8 + 
       (15*s[34])/2 + (13*s[35])/2 + (43*s[36])/2 - (239*s[37])/8 - 
       (1119*s[38])/4 + (8969*s[39])/8 - (9801*s[40])/8 + (1873*s[41])/2 - 
       (6485*s[42])/4 - (74483*s[43])/88 + (168357*s[44])/176 - 
       (415705*s[45])/528 + (3737005*s[46])/528 - (261485*s[47])/528 + 
       (101713*s[48])/528 + (2112551*s[49])/528 - (59527*s[50])/11 - 
       (580189*s[51])/528 - (475459*s[52])/528 + (5822411*s[53])/1584 - 
       (41533*s[54])/264 + (12066595*s[55])/528 + (9341317*s[56])/1584 - 
       (23735279*s[57])/2376 + (42732803*s[58])/3564 - 
       (173787245*s[59])/14256 - (89843249*s[60])/1584 + 
       (724866349*s[61])/256608 + s[62]/4 + 5*s[70] - (3*s[71])/4 - 4*s[72] + 
       (11*s[74])/2 - (11*s[75])/2 + 4*s[76] + s[77] - 8*s[78] - 88*s[79] + 
       (187*s[80])/12 + 6*s[82] + 3*s[83] - 18*s[84] + 16*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]^2*(8*s[2] - (111*s[3])/4 - 
       (4145*s[4])/8 - (729*s[5])/4 - (4331*s[6])/8 - (279887*s[7])/48 + 
       (134683*s[8])/216 + (521027*s[9])/108 + (65471*s[10])/54 + 
       (947221*s[11])/144 + (272039*s[12])/36 + (663139*s[13])/144 - 
       (40499*s[14])/144 + (1073173*s[15])/144 + (687221*s[16])/72 + 
       (938311*s[17])/144 + (322525*s[18])/324 + (576787*s[19])/648 + 
       (6916625*s[20])/648 + (4677475*s[21])/1296 - (3968891*s[22])/1296 - 
       (648145*s[23])/72 - (1976801*s[24])/324 + (6440323*s[25])/729 - 
       (12970591*s[26])/2916 - 2*s[30] - 2*s[31] + s[32]/2 - (29*s[33])/4 + 
       8*s[34] + (13*s[35])/2 + (43*s[36])/2 - (239*s[37])/8 - 
       (1119*s[38])/4 + (8969*s[39])/8 - (9801*s[40])/8 + (1873*s[41])/2 - 
       (6485*s[42])/4 - (74483*s[43])/88 + (168357*s[44])/176 - 
       (415705*s[45])/528 + (3737005*s[46])/528 - (261485*s[47])/528 + 
       (101713*s[48])/528 + (2112551*s[49])/528 - (59527*s[50])/11 - 
       (580189*s[51])/528 - (475459*s[52])/528 + (5822411*s[53])/1584 - 
       (41533*s[54])/264 + (12066595*s[55])/528 + (9341317*s[56])/1584 - 
       (23735279*s[57])/2376 + (42732803*s[58])/3564 - 
       (173787245*s[59])/14256 - (89843249*s[60])/1584 + 
       (724866349*s[61])/256608 + s[62]/4 + 5*s[70] - (3*s[71])/4 - 4*s[72] + 
       (11*s[74])/2 - (11*s[75])/2 + 4*s[76] + s[77] - 8*s[78] - 88*s[79] + 
       (187*s[80])/12 + 6*s[82] + 3*s[83] - 18*s[84] + 16*s[85]) + 
     HPL[{0, 0, 1}, 1 - v]*Omega2[w, u, v]*(8*s[2] + (17*s[3])/2 + 
       (1003*s[4])/4 + (14325*s[5])/88 + (38125*s[6])/88 + (378091*s[7])/99 - 
       (817049*s[8])/2376 - (695737*s[9])/216 - (189089*s[10])/216 - 
       (1684223*s[11])/396 - (1888231*s[12])/396 - (1149919*s[13])/396 - 
       (52279*s[14])/198 - (346741*s[15])/72 - (2478787*s[16])/396 - 
       (1197277*s[17])/264 - (488891*s[18])/648 - (36041*s[19])/81 - 
       (13067851*s[20])/1782 - (18822835*s[21])/7128 + (7160029*s[22])/3564 + 
       (4128445*s[23])/792 + (27919439*s[24])/7128 - (705324713*s[25])/
        128304 + (378193109*s[26])/128304 + s[30] + 6*s[31] + 6*s[33] - 
       12*s[34] + s[35] - (13*s[36])/2 + (233*s[37])/12 + 150*s[38] - 
       (4809*s[39])/8 + (5309*s[40])/8 - (4029*s[41])/8 + (6905*s[42])/8 + 
       (45703*s[43])/88 - (94147*s[44])/176 + (161269*s[45])/264 - 
       (623423*s[46])/132 + (40211*s[47])/176 + (9565*s[48])/176 - 
       (403993*s[49])/176 + (77659*s[50])/22 + (309007*s[51])/528 + 
       (88823*s[52])/176 - (968503*s[53])/396 + (7006*s[54])/33 - 
       (8200663*s[55])/528 - (6879239*s[56])/1584 + (5805989*s[57])/1188 - 
       (108108307*s[58])/14256 + (107330383*s[59])/14256 + 
       (120404359*s[60])/3168 - (135175805*s[61])/64152 + s[68] - 2*s[69] + 
       2*s[70] + 4*s[72] - 2*s[74] + 2*s[75] - 8*s[76] + 4*s[78] + 46*s[79] - 
       (79*s[80])/6 - 10*s[82] - 3*s[83] + 18*s[84] + 16*s[85]) + 
     HPL[{0, 0, 1}, 1 - w]*Omega2[u, v, w]*(9*s[2] + (17*s[3])/4 + 
       (1927*s[4])/8 + (893*s[5])/4 + (4543*s[6])/8 + (671605*s[7])/144 - 
       (76453*s[8])/216 - (213385*s[9])/54 - (34432*s[10])/27 - 
       (737731*s[11])/144 - (400591*s[12])/72 - (160433*s[13])/48 - 
       (119929*s[14])/144 - (295567*s[15])/48 - (63227*s[16])/8 - 
       (889793*s[17])/144 - (293053*s[18])/324 - (411091*s[19])/648 - 
       (6135935*s[20])/648 - (4574611*s[21])/1296 + (3176423*s[22])/1296 + 
       (29723*s[23])/6 + (1654421*s[24])/324 - (37321487*s[25])/5832 + 
       (21211523*s[26])/5832 - 2*s[30] + 2*s[31] + s[32] - (5*s[33])/4 - 
       s[34] + s[35] - (13*s[36])/2 + (233*s[37])/12 + 150*s[38] - 
       (4809*s[39])/8 + (5309*s[40])/8 - (4029*s[41])/8 + (6905*s[42])/8 + 
       (45703*s[43])/88 - (94147*s[44])/176 + (161269*s[45])/264 - 
       (623423*s[46])/132 + (40211*s[47])/176 + (9565*s[48])/176 - 
       (403993*s[49])/176 + (77659*s[50])/22 + (309007*s[51])/528 + 
       (88823*s[52])/176 - (968503*s[53])/396 + (7006*s[54])/33 - 
       (8200663*s[55])/528 - (6879239*s[56])/1584 + (5805989*s[57])/1188 - 
       (108108307*s[58])/14256 + (107330383*s[59])/14256 + 
       (120404359*s[60])/3168 - (135175805*s[61])/64152 + s[68] - 2*s[69] + 
       2*s[70] + 4*s[72] - 2*s[74] + 2*s[75] - 8*s[76] + 4*s[78] + 46*s[79] - 
       (79*s[80])/6 - 10*s[82] - 3*s[83] + 18*s[84] + 16*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((25*s[2])/18 + (65*s[3])/12 + (47*s[4])/8 + (18493*s[5])/396 + 
       (25079*s[6])/352 + (1620151*s[7])/2376 - (275431*s[8])/9504 - 
       (504125*s[9])/864 - (29291*s[10])/108 - (4392671*s[11])/6336 - 
       (4215425*s[12])/6336 - (3413537*s[13])/9504 - (57155*s[14])/198 - 
       (25555*s[15])/24 - (5919175*s[16])/4752 - (22518227*s[17])/19008 - 
       (101579*s[18])/864 - (128285*s[19])/864 - (15053767*s[20])/9504 - 
       (17102875*s[21])/28512 + (9983341*s[22])/28512 + 
       (3989657*s[23])/19008 + (48870323*s[24])/57024 - 
       (408647915*s[25])/513216 + (261376541*s[26])/513216 + (5*s[32])/12 + 
       (35*s[33])/36 + (10*s[34])/9 + (5*s[35])/9 + (20*s[36])/27 - 
       (353*s[37])/108 + (25*s[38])/6 - (863*s[39])/72 + (4229*s[40])/216 - 
       (1433*s[41])/72 + (1501*s[42])/216 + (128299*s[43])/2376 - 
       (106681*s[44])/2376 + (313205*s[45])/2376 - (70501*s[46])/99 - 
       (1074973*s[47])/28512 + (2749925*s[48])/28512 - 
       (7469633*s[49])/28512 + (2864039*s[50])/4752 - (15293*s[51])/28512 - 
       (33299*s[52])/7128 - (354791*s[53])/792 - (37907*s[54])/792 - 
       (9716899*s[55])/3168 - (19896055*s[56])/28512 - 
       (21989147*s[57])/21384 - (171183509*s[58])/256608 + 
       (192748643*s[59])/256608 + (1132428419*s[60])/171072 - 
       (55495829*s[61])/144342 + (5*s[70])/3 + (5*s[74])/18 - (5*s[75])/18 - 
       (5*s[77])/3 - (10*s[79])/9 + (5*s[80])/27 + (1091*s[82])/12 + 
       (50*s[85])/3) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*((103*s[2])/12 + (563*s[3])/24 - (1843*s[4])/24 - 
       (36491*s[5])/1056 - (26567*s[6])/352 - (22312243*s[7])/19008 + 
       (799507*s[8])/14256 + (1347899*s[9])/1296 + (32389*s[10])/81 + 
       (24542195*s[11])/19008 + (13018067*s[12])/9504 + 
       (15990379*s[13])/19008 + (3030923*s[14])/19008 + 
       (2861543*s[15])/1728 + (4831301*s[16])/2376 + (3379019*s[17])/2112 + 
       (662609*s[18])/7776 + (2695405*s[19])/7776 + (101843297*s[20])/42768 + 
       (128731583*s[21])/171072 - (112095451*s[22])/171072 - 
       (2858993*s[23])/4752 - (136471391*s[24])/85536 + 
       (2571303551*s[25])/1539648 - (1264511453*s[26])/1539648 + s[28]/4 - 
       3*s[29] + (25*s[30])/12 + 2*s[31] + (7*s[32])/6 + (77*s[33])/12 - 
       (47*s[34])/6 + s[35]/6 - (14*s[36])/9 - (217*s[37])/36 - 
       (101*s[38])/2 + (1529*s[39])/12 - (5983*s[40])/36 + (923*s[41])/6 - 
       (5915*s[42])/36 - (63257*s[43])/396 + (16868*s[44])/99 - 
       (11722*s[45])/99 + (135931*s[46])/132 + (127465*s[47])/2376 - 
       (403703*s[48])/2376 + (1728593*s[49])/2376 - (91001*s[50])/99 - 
       (352639*s[51])/2376 - (49783*s[52])/594 + (71381*s[53])/132 + 
       (18065*s[54])/132 + (2818019*s[55])/792 + (1517383*s[56])/2376 - 
       (681449*s[57])/3564 + (28395887*s[58])/21384 - 
       (30286337*s[59])/21384 - (141945503*s[60])/14256 + 
       (6534133*s[61])/24057 - (5*s[65])/4 - (29*s[66])/6 + (29*s[67])/6 + 
       (16*s[68])/3 + (22*s[69])/3 - (10*s[70])/3 + (25*s[71])/12 + 
       (20*s[72])/3 - (17*s[73])/3 - s[74] + s[75] - (13*s[76])/3 + 
       (11*s[77])/3 + 18*s[78] - (151*s[79])/3 + (82*s[80])/9 + 42*s[82] + 
       s[83]/2 - 33*s[84] + 18*s[85]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - w]*(6*s[2] - (235*s[3])/48 + (42859*s[4])/96 + 
       (199339*s[5])/528 + (218411*s[6])/264 + (49444919*s[7])/6336 - 
       (4054555*s[8])/7128 - (17295923*s[9])/2592 - (2658113*s[10])/1296 - 
       (81809291*s[11])/9504 - (178634963*s[12])/19008 - 
       (107183233*s[13])/19008 - (19278565*s[14])/19008 - 
       (17849323*s[15])/1728 - (124976147*s[16])/9504 - 
       (96242573*s[17])/9504 - (10922245*s[18])/7776 - (4670935*s[19])/3888 - 
       (41665873*s[20])/2673 - (978113485*s[21])/171072 + 
       (706969793*s[22])/171072 + (165837323*s[23])/19008 + 
       (1459466159*s[24])/171072 - (16759908529*s[25])/1539648 + 
       (9268068607*s[26])/1539648 - s[30]/3 + (5*s[31])/2 - (17*s[32])/12 + 
       (7*s[33])/48 - (143*s[34])/12 - (67*s[35])/12 - (409*s[36])/24 - 
       (101*s[37])/144 + (16643*s[38])/72 - (237043*s[39])/288 + 
       (264703*s[40])/288 - (23811*s[41])/32 + (330923*s[42])/288 + 
       (2458525*s[43])/3168 - (1702823*s[44])/2112 + (2851135*s[45])/3168 - 
       (5359085*s[46])/792 + (1243607*s[47])/6336 + (1475861*s[48])/6336 - 
       (22803809*s[49])/6336 + (8446991*s[50])/1584 + 
       (15006323*s[51])/19008 + (3953953*s[52])/6336 - 
       (17296055*s[53])/4752 - (53897*s[54])/198 - (147755917*s[55])/6336 - 
       (109745293*s[56])/19008 + (69350467*s[57])/14256 - 
       (1743788129*s[58])/171072 + (1802152085*s[59])/171072 + 
       (2158436413*s[60])/38016 - (1103375189*s[61])/384912 + s[65]/2 - 
       s[66] + s[67] - (25*s[68])/4 + (11*s[69])/2 + (5*s[70])/2 - 
       (7*s[71])/2 + 3*s[72] - (7*s[73])/2 - (25*s[74])/6 + (25*s[75])/6 - 
       (47*s[77])/6 - s[78]/6 + (359*s[79])/6 + (535*s[80])/72 - 45*s[82] - 
       (3*s[83])/4 + (57*s[84])/2 + 18*s[85]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*((269*s[2])/72 + 
       (481*s[3])/144 + (164257*s[4])/288 + (1112563*s[5])/3168 + 
       (2805799*s[6])/3168 + (246765883*s[7])/28512 - (5349341*s[8])/7128 - 
       (18956125*s[9])/2592 - (730327*s[10])/324 - (181574125*s[11])/19008 - 
       (200080213*s[12])/19008 - (180373289*s[13])/28512 - 
       (7552157*s[14])/9504 - (7395925*s[15])/648 - (207403021*s[16])/14256 - 
       (627486791*s[17])/57024 - (5687219*s[18])/3888 - 
       (10903817*s[19])/7776 - (726035767*s[20])/42768 - 
       (84671083*s[21])/14256 + (24482771*s[22])/5346 + 
       (583405751*s[23])/57024 + (1630413853*s[24])/171072 - 
       (3165629143*s[25])/256608 + (1674246577*s[26])/256608 + (23*s[30])/9 + 
       (13*s[31])/18 - (55*s[32])/72 - (41*s[33])/12 - (31*s[34])/36 - 
       (197*s[35])/12 - (2203*s[36])/108 + (18383*s[37])/432 + 
       (21997*s[38])/72 - (14929*s[39])/12 + (75047*s[40])/54 - 
       (155741*s[41])/144 + (779555*s[42])/432 + (1239047*s[43])/1188 - 
       (1357739*s[44])/1188 + (10642801*s[45])/9504 - (87497495*s[46])/9504 + 
       (13050995*s[47])/28512 + (433775*s[48])/28512 - 
       (136485605*s[49])/28512 + (33874655*s[50])/4752 + 
       (36424777*s[51])/28512 + (3477083*s[52])/3564 - 
       (138603037*s[53])/28512 + (482435*s[54])/4752 - 
       (96511093*s[55])/3168 - (25185041*s[56])/3168 + 
       (138358897*s[57])/14256 - (39189388*s[58])/2673 + 
       (1262765249*s[59])/85536 + (6442071067*s[60])/85536 - 
       (651892663*s[61])/171072 + (5*s[66])/6 - (5*s[67])/6 + (11*s[68])/6 - 
       (7*s[69])/2 + (11*s[70])/6 + (19*s[71])/24 + (23*s[72])/6 - 
       (13*s[73])/18 - (137*s[74])/24 + (137*s[75])/24 - (19*s[76])/3 + 
       (23*s[77])/36 + (11*s[78])/18 + (293*s[79])/2 - (8599*s[80])/216 + 
       (661*s[82])/6 + (7*s[83])/6 + (107*s[84])/2 + (55*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - u]*
      ((-4*s[2])/3 + (175*s[3])/24 - (633*s[4])/16 + (1193*s[5])/33 + 
       (16873*s[6])/528 + (2271473*s[7])/9504 + (373855*s[8])/14256 - 
       (284245*s[9])/1296 - (229367*s[10])/1296 - (1824347*s[11])/9504 - 
       (922927*s[12])/9504 + (8461*s[13])/1056 - (1680817*s[14])/4752 - 
       (44303*s[15])/96 - (95351*s[16])/198 - (380497*s[17])/594 - 
       (692035*s[18])/7776 - (274793*s[19])/7776 - (70998473*s[20])/85536 - 
       (2002283*s[21])/5346 + (2451325*s[22])/21384 - (442169*s[23])/1056 + 
       (7098013*s[24])/21384 - (4327049*s[25])/48114 + 
       (74233339*s[26])/384912 - 2*s[31] + (5*s[32])/12 - s[33] + 
       (5*s[34])/3 + (5*s[35])/3 + (7*s[36])/18 - (475*s[37])/72 - 
       (43*s[38])/3 + (513*s[39])/8 - (4345*s[40])/72 + (1033*s[41])/24 - 
       (3715*s[42])/36 - (223*s[43])/396 + (31081*s[44])/1584 + 
       (7279*s[45])/99 - (6158*s[46])/33 - (334115*s[47])/4752 + 
       (558733*s[48])/4752 + (172585*s[49])/9504 + (72671*s[50])/396 - 
       (640835*s[51])/9504 - (304597*s[52])/4752 - (84013*s[53])/528 - 
       (4755*s[54])/176 - (1945931*s[55])/1584 - (2365327*s[56])/9504 - 
       (22795699*s[57])/14256 + (15335905*s[58])/85536 - 
       (11222815*s[59])/85536 + (133417679*s[60])/57024 - 
       (64019935*s[61])/384912 + (5*s[70])/3 + (5*s[74])/12 - (5*s[75])/12 + 
       s[76] - (5*s[77])/3 - (22*s[79])/3 - s[80]/9 + 88*s[82] + 20*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - v]*
      ((5*s[2])/3 + (71*s[3])/8 - (41*s[4])/16 + (5383*s[5])/132 + 
       (24205*s[6])/352 + (197749*s[7])/352 - (156949*s[8])/9504 - 
       (414431*s[9])/864 - (103667*s[10])/432 - (3621193*s[11])/6336 - 
       (3413891*s[12])/6336 - (453415*s[13])/1584 - (460753*s[14])/1584 - 
       (254627*s[15])/288 - (1663867*s[16])/1584 - (6467869*s[17])/6336 - 
       (70747*s[18])/648 - (19079*s[19])/162 - (19396921*s[20])/14256 - 
       (15153203*s[21])/28512 + (8183029*s[22])/28512 + (572981*s[23])/6336 + 
       (41409047*s[24])/57024 - (324572311*s[25])/513216 + 
       (221882005*s[26])/513216 + s[32]/4 + (11*s[33])/12 + (7*s[34])/3 + 
       (53*s[35])/24 + (85*s[36])/72 - (73*s[37])/12 - (5*s[38])/6 + 
       (161*s[39])/24 + (113*s[40])/72 - (101*s[41])/24 - (190*s[42])/9 + 
       (17375*s[43])/396 - (26923*s[44])/792 + (23123*s[45])/198 - 
       (19111*s[46])/33 - (483259*s[47])/9504 + (1102655*s[48])/9504 - 
       (994285*s[49])/4752 + (775361*s[50])/1584 - (93679*s[51])/4752 - 
       (56159*s[52])/2376 - (63631*s[53])/176 - (10675*s[54])/176 - 
       (2660569*s[55])/1056 - (346015*s[56])/594 - (14684455*s[57])/14256 - 
       (21255709*s[58])/42768 + (23883925*s[59])/42768 + 
       (39552967*s[60])/7128 - (8018938*s[61])/24057 + s[70] + (7*s[74])/12 - 
       (7*s[75])/12 - s[77] - (10*s[79])/3 + s[80]/18 + (425*s[82])/4 + 
       20*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*M1[v, u, w]*
      ((5*s[2])/3 + (13*s[3])/2 + 10*s[4] + (4597*s[5])/132 + 
       (1493*s[6])/22 + (249641*s[7])/396 - (1889*s[8])/66 - (2147*s[9])/4 - 
       (758*s[10])/3 - (174839*s[11])/264 - (57713*s[12])/88 - 
       (143881*s[13])/396 - (10377*s[14])/44 - (5681*s[15])/6 - 
       (457933*s[16])/396 - (835165*s[17])/792 - (11047*s[18])/108 - 
       (7945*s[19])/54 - (1713785*s[20])/1188 - (634399*s[21])/1188 + 
       (129763*s[22])/396 + (168115*s[23])/792 + (642709*s[24])/792 - 
       (8277967*s[25])/10692 + (5056741*s[26])/10692 + s[32]/2 + 
       (7*s[33])/6 + (4*s[34])/3 + (5*s[35])/3 - s[36]/9 - (35*s[37])/9 + 
       5*s[38] - (52*s[39])/3 + (238*s[40])/9 - (161*s[41])/6 + 
       (259*s[42])/18 + (5996*s[43])/99 - (10759*s[44])/198 + 
       (11752*s[45])/99 - (22021*s[46])/33 - (47153*s[47])/1188 + 
       (135271*s[48])/1188 - (359965*s[49])/1188 + (56465*s[50])/99 + 
       (10961*s[51])/1188 - (6245*s[52])/594 - (8851*s[53])/22 - 
       (7319*s[54])/66 - (119445*s[55])/44 - (713807*s[56])/1188 - 
       (1351355*s[57])/1782 - (7089691*s[58])/10692 + (7752523*s[59])/10692 + 
       (45064219*s[60])/7128 - (8262022*s[61])/24057 + 2*s[70] + s[74]/3 - 
       s[75]/3 - 2*s[77] - (4*s[79])/3 + (2*s[80])/9 + 107*s[82] + 
       20*s[85]) + HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((67*s[2])/2 - (747*s[3])/4 - (3837*s[4])/8 + (1779*s[5])/22 - 
       (22733*s[6])/88 - (1132007*s[7])/528 + (372481*s[8])/792 + 
       (48883*s[9])/36 + (2383*s[10])/18 + (1419139*s[11])/528 + 
       (936613*s[12])/264 + (1207259*s[13])/528 - (748655*s[14])/528 + 
       (37343*s[15])/16 + (455591*s[16])/132 + (272895*s[17])/176 + 
       (9931*s[18])/54 + (140909*s[19])/216 + (5875409*s[20])/2376 + 
       (1509631*s[21])/4752 - (4623515*s[22])/4752 - (1551461*s[23])/264 - 
       (5156515*s[24])/2376 + (92227241*s[25])/21384 - 
       (32360051*s[26])/21384 + 8*s[28] + 10*s[29] - 5*s[30] + 14*s[31] - 
       10*s[32] + (5*s[33])/2 - 8*s[34] + 3*s[35] + (37*s[36])/2 - 
       (49*s[37])/2 - 209*s[38] + (2847*s[39])/4 - (2907*s[40])/4 + 
       (2045*s[41])/4 - (3893*s[42])/4 - (2191*s[43])/4 + 605*s[44] - 
       552*s[45] + (18189*s[46])/4 - (869*s[47])/3 + (145*s[48])/12 + 
       (16177*s[49])/6 - 3427*s[50] - (7261*s[51])/12 - (6319*s[52])/12 + 
       (14177*s[53])/6 + 91*s[54] + (58423*s[55])/4 + 3485*s[56] - 
       (60329*s[57])/12 + (130669*s[58])/18 - (268355*s[59])/36 - 
       (1318735*s[60])/36 + (391255*s[61])/216 + 3*s[65] + 2*s[66] - 
       6*s[67] + 24*s[68] - 10*s[69] + 6*s[70] - 3*s[71] - 6*s[72] - 
       22*s[73] + (9*s[74])/2 - (9*s[75])/2 - 5*s[76] - 7*s[77] - 10*s[78] + 
       48*s[79] - 3*s[80] - 14*s[82] + 18*s[84] + 20*s[85]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-49*s[2])/2 + (293*s[3])/4 - (189*s[4])/8 - (11129*s[5])/22 - 
       (48349*s[6])/88 - (3094193*s[7])/528 + (188321*s[8])/792 + 
       (94423*s[9])/18 + (16765*s[10])/9 + (3331145*s[11])/528 + 
       (1718831*s[12])/264 + (658523*s[13])/176 + (965135*s[14])/528 + 
       (391351*s[15])/48 + (442503*s[16])/44 + (4525027*s[17])/528 + 
       (133717*s[18])/108 + (181447*s[19])/216 + (30642787*s[20])/2376 + 
       (24232745*s[21])/4752 - (15013861*s[22])/4752 - (350145*s[23])/88 - 
       (15838877*s[24])/2376 + (78660881*s[25])/10692 - 
       (24413989*s[26])/5346 - 4*s[29] + 2*s[30] - 10*s[31] + 4*s[32] - 
       s[33]/4 + 21*s[34] + 3*s[35] + (37*s[36])/2 - (49*s[37])/2 - 
       209*s[38] + (2847*s[39])/4 - (2907*s[40])/4 + (2045*s[41])/4 - 
       (3893*s[42])/4 - (2191*s[43])/4 + 605*s[44] - 552*s[45] + 
       (18189*s[46])/4 - (869*s[47])/3 + (145*s[48])/12 + (16177*s[49])/6 - 
       3427*s[50] - (7261*s[51])/12 - (6319*s[52])/12 + (14177*s[53])/6 + 
       91*s[54] + (58423*s[55])/4 + 3485*s[56] - (60329*s[57])/12 + 
       (130669*s[58])/18 - (268355*s[59])/36 - (1318735*s[60])/36 + 
       (391255*s[61])/216 + 3*s[65] + 2*s[66] - 6*s[67] + 24*s[68] - 
       10*s[69] + 6*s[70] - 3*s[71] - 6*s[72] - 22*s[73] + (9*s[74])/2 - 
       (9*s[75])/2 - 5*s[76] - 7*s[77] - 10*s[78] + 48*s[79] - 3*s[80] - 
       14*s[82] + 18*s[84] + 20*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      M1[v, w, u]*((5*s[2])/2 + (7*s[3])/6 + (1875*s[4])/8 + 
       (36401*s[5])/264 + (33243*s[6])/88 + (1376225*s[7])/396 - 
       (2043805*s[8])/7128 - (1904663*s[9])/648 - (566593*s[10])/648 - 
       (18345919*s[11])/4752 - (20315093*s[12])/4752 - (1547363*s[13])/594 - 
       (696689*s[14])/2376 - (485945*s[15])/108 - (13747529*s[16])/2376 - 
       (20403949*s[17])/4752 - (1220983*s[18])/1944 - (984641*s[19])/1944 - 
       (72260983*s[20])/10692 - (25925551*s[21])/10692 + 
       (9828961*s[22])/5346 + (20375123*s[23])/4752 + 
       (160128959*s[24])/42768 - (1912115113*s[25])/384912 + 
       (1028708305*s[26])/384912 + s[30]/6 + s[31] - s[32]/6 - 
       (19*s[33])/24 - (19*s[34])/6 - (13*s[35])/3 - (38*s[36])/3 + 
       (125*s[37])/18 + (881*s[38])/6 - 559*s[39] + (1868*s[40])/3 - 
       (5959*s[41])/12 + (9583*s[42])/12 + (10889*s[43])/22 - 
       (68065*s[44])/132 + (203065*s[45])/396 - (1648591*s[46])/396 + 
       (5758*s[47])/33 + (4993*s[48])/66 - (98173*s[49])/44 + 
       (423257*s[50])/132 + (54950*s[51])/99 + (59485*s[52])/132 - 
       (1295989*s[53])/594 + (9491*s[54])/396 - (1362814*s[55])/99 - 
       (4256863*s[56])/1188 + (14975533*s[57])/3564 - (17607965*s[58])/2673 + 
       (71436341*s[59])/10692 + (40548457*s[60])/1188 - 
       (83268403*s[61])/48114 - s[68] + s[69] - s[71] + 2*s[72] - 
       (8*s[74])/3 + (8*s[75])/3 - 2*s[76] - (4*s[77])/3 + (4*s[78])/3 + 
       (148*s[79])/3 - (43*s[80])/9 + 10*s[82] + 24*s[84] + 20*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((41*s[2])/6 - (43*s[3])/4 + (533*s[4])/24 - (5157*s[5])/176 + 
       (34361*s[6])/792 + (2668295*s[7])/28512 + (1223977*s[8])/14256 - 
       (194359*s[9])/1296 - (72901*s[10])/648 - (100949*s[11])/1188 - 
       (405019*s[12])/9504 - (5291035*s[13])/28512 - (2574409*s[14])/9504 + 
       (53905*s[15])/2592 - (786965*s[16])/14256 - (805459*s[17])/14256 + 
       (75227*s[18])/3888 + (63709*s[19])/3888 - (1502077*s[20])/5346 - 
       (1447733*s[21])/28512 + (7799911*s[22])/85536 - 
       (20139403*s[23])/28512 + (19845829*s[24])/85536 - 
       (2299223*s[25])/42768 + (853871*s[26])/42768 + s[28]/6 + 11*s[29] - 
       (7*s[30])/3 + (29*s[31])/9 + (53*s[32])/18 - (137*s[33])/18 + 
       4*s[34] + (98*s[35])/9 + (1549*s[36])/108 - (2483*s[37])/108 + 
       (1033*s[38])/36 + (3881*s[39])/144 + (24305*s[40])/432 - 
       (4183*s[41])/48 - (20285*s[42])/432 + (378619*s[43])/4752 - 
       (60233*s[44])/2376 + (440867*s[45])/2376 - (3771683*s[46])/4752 - 
       (920701*s[47])/14256 + (2038129*s[48])/7128 - (781745*s[49])/14256 + 
       (1422035*s[50])/2376 + (640253*s[51])/7128 + (1076563*s[52])/14256 - 
       (253420*s[53])/891 + (629753*s[54])/2376 - (6237835*s[55])/2376 - 
       (5579117*s[56])/4752 - (3653849*s[57])/14256 - (8226551*s[58])/7128 + 
       (304985*s[59])/396 + (682577681*s[60])/85536 - 
       (93458477*s[61])/192456 + (5*s[62])/2 - s[64] + (5*s[65])/3 + 
       (22*s[66])/3 - 8*s[67] - 2*s[68] - (38*s[69])/3 + 25*s[70] - 
       (35*s[71])/6 - (88*s[72])/9 + (163*s[73])/18 + (37*s[74])/9 - 
       (71*s[75])/18 - (2*s[76])/9 - (221*s[77])/9 - (67*s[78])/2 + 
       95*s[79] - (85*s[80])/27 - s[81]/6 - 89*s[82] - (71*s[83])/6 + 
       (73*s[84])/3 + 20*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((91*s[2])/6 + (941*s[3])/24 + (32495*s[4])/16 + (368221*s[5])/264 + 
       (307723*s[6])/88 + (152682049*s[7])/4752 - (12609671*s[8])/4752 - 
       (5863187*s[9])/216 - (3599615*s[10])/432 - (111871297*s[11])/3168 - 
       (122701555*s[12])/3168 - (110657879*s[13])/4752 - 
       (6107477*s[14])/1584 - (18436987*s[15])/432 - (257042957*s[16])/4752 - 
       (393585029*s[17])/9504 - (7533049*s[18])/1296 - (6198185*s[19])/1296 - 
       (113524267*s[20])/1782 - (54462359*s[21])/2376 + 
       (241327007*s[22])/14256 + (358571525*s[23])/9504 + 
       (998831917*s[24])/28512 - (1286954923*s[25])/28512 + 
       (702058231*s[26])/28512 + (11*s[30])/2 + s[31] - (7*s[32])/2 - 
       (89*s[33])/12 + (8*s[34])/3 - (89*s[35])/3 - (1025*s[36])/18 + 
       (5023*s[37])/36 + (2061*s[38])/2 - (32943*s[39])/8 + 
       (332843*s[40])/72 - (86675*s[41])/24 + (430717*s[42])/72 + 
       (2714281*s[43])/792 - (737239*s[44])/198 + (2958959*s[45])/792 - 
       (2006593*s[46])/66 + (7396891*s[47])/4752 + (203815*s[48])/4752 - 
       (74179423*s[49])/4752 + (18401533*s[50])/792 + (19933403*s[51])/4752 + 
       (7995853*s[52])/2376 - (12678383*s[53])/792 + (21509*s[54])/22 - 
       (160168187*s[55])/1584 - (127923845*s[56])/4752 + 
       (231608833*s[57])/7128 - (2085554995*s[58])/42768 + 
       (2105940355*s[59])/42768 + (7031242579*s[60])/28512 - 
       (4939346449*s[61])/384912 + (2*s[68])/3 - (5*s[69])/3 - (16*s[70])/3 - 
       (19*s[71])/6 + (32*s[72])/3 - (13*s[73])/3 - (121*s[74])/6 + 
       (62*s[75])/3 - (2*s[76])/3 + 5*s[77] + (19*s[78])/3 + 488*s[79] - 
       (2429*s[80])/18 + (67*s[82])/2 + (5*s[83])/2 + 168*s[84] + 20*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((383*s[2])/18 - (383*s[3])/9 + (51245*s[4])/144 + 
       (1376891*s[5])/3168 + (703957*s[6])/792 + (15782485*s[7])/2112 - 
       (5677313*s[8])/9504 - (5584747*s[9])/864 - (386327*s[10])/216 - 
       (2882645*s[11])/352 - (57056075*s[12])/6336 - (34023349*s[13])/6336 - 
       (2699903*s[14])/2112 - (5491447*s[15])/576 - (38978699*s[16])/3168 - 
       (3671957*s[17])/396 - (4460951*s[18])/2592 - (1388011*s[19])/2592 - 
       (215286443*s[20])/14256 - (329742977*s[21])/57024 + 
       (227199289*s[22])/57024 + (61044211*s[23])/6336 + 
       (423076987*s[24])/57024 - (2623516879*s[25])/256608 + 
       (1512146479*s[26])/256608 + (23*s[30])/36 + (143*s[31])/18 + 
       (805*s[32])/72 + (5*s[33])/144 - (481*s[34])/36 - (7*s[35])/9 - 
       (229*s[36])/9 + (7067*s[37])/144 + (8137*s[38])/24 - 
       (107099*s[39])/72 + (120895*s[40])/72 - (184643*s[41])/144 + 
       (319157*s[42])/144 + (943469*s[43])/792 - (8371051*s[44])/6336 + 
       (4421819*s[45])/3168 - (11774855*s[46])/1056 + 
       (11767055*s[47])/19008 - (446377*s[48])/19008 - 
       (100822841*s[49])/19008 + (13130575*s[50])/1584 + 
       (29752867*s[51])/19008 + (24541219*s[52])/19008 - 
       (54734203*s[53])/9504 + (655903*s[54])/792 - (687842459*s[55])/19008 - 
       (199101407*s[56])/19008 + (387456013*s[57])/28512 - 
       (3162249709*s[58])/171072 + (3104576809*s[59])/171072 + 
       (10019965853*s[60])/114048 - (962025131*s[61])/192456 - s[64]/2 + 
       s[65]/6 + (7*s[66])/6 - s[67]/6 + (53*s[68])/6 - (13*s[69])/6 - 
       (13*s[70])/3 - s[71]/8 + (47*s[72])/9 + 8*s[73] - (71*s[74])/9 + 
       (62*s[75])/9 - (151*s[76])/18 + (107*s[77])/6 + (47*s[78])/18 + 
       (883*s[79])/6 - (3275*s[80])/72 + (119*s[82])/2 - (5*s[83])/12 + 
       (226*s[84])/3 + (61*s[85])/3) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]^2*((79*s[2])/12 + (1415*s[3])/48 + (6767*s[4])/96 + 
       (10667*s[5])/88 + (104427*s[6])/352 + (15699077*s[7])/6336 - 
       (4291043*s[8])/28512 - (1335865*s[9])/648 - (73732*s[10])/81 - 
       (49513379*s[11])/19008 - (12581983*s[12])/4752 - 
       (28868165*s[13])/19008 - (15312791*s[14])/19008 - 
       (6260809*s[15])/1728 - (42159925*s[16])/9504 - 
       (74926421*s[17])/19008 - (406393*s[18])/972 - (3999415*s[19])/7776 - 
       (467718847*s[20])/85536 - (347078285*s[21])/171072 + 
       (216316717*s[22])/171072 + (12308129*s[23])/9504 + 
       (263801837*s[24])/85536 - (2402116093*s[25])/769824 + 
       (1448941501*s[26])/769824 - (7*s[30])/4 - (7*s[31])/6 - 
       (35*s[32])/24 - (25*s[33])/24 + (61*s[34])/6 + (7*s[35])/3 + 
       (1577*s[36])/72 + (677*s[37])/24 - (151*s[38])/24 - (1205*s[39])/96 + 
       (12163*s[40])/288 - (785*s[41])/32 + (3437*s[42])/288 + 
       (223529*s[43])/3168 - (364945*s[44])/6336 + (16597*s[45])/66 - 
       (4115711*s[46])/3168 - (394453*s[47])/19008 + (2161661*s[48])/19008 - 
       (6287225*s[49])/19008 + (808235*s[50])/792 + (346561*s[51])/19008 + 
       (28495*s[52])/19008 - (7136545*s[53])/9504 + (10247*s[54])/1584 - 
       (11186341*s[55])/2112 - (27066275*s[56])/19008 - 
       (3781171*s[57])/3564 - (260064493*s[58])/171072 + 
       (252123379*s[59])/171072 + (1329682319*s[60])/114048 - 
       (1176731791*s[61])/1539648 + (8*s[66])/3 - (8*s[67])/3 + 
       (14*s[68])/3 - 10*s[69] + (11*s[70])/6 + (31*s[71])/24 - 
       (11*s[72])/3 - (5*s[73])/3 + (29*s[74])/12 - (67*s[75])/24 + 5*s[76] + 
       4*s[77] - (25*s[78])/3 + (91*s[79])/3 - (197*s[80])/6 + 
       (443*s[82])/2 - (5*s[83])/2 - (11*s[84])/2 + 21*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((235*s[2])/36 - (139*s[3])/8 + (12979*s[4])/48 + (41309*s[5])/176 + 
       (371057*s[6])/792 + (138677809*s[7])/28512 - (8475479*s[8])/21384 - 
       (16146251*s[9])/3888 - (5143987*s[10])/3888 - (150647923*s[11])/
        28512 - (81346141*s[12])/14256 - (10746547*s[13])/3168 - 
       (18664933*s[14])/28512 - (5717435*s[15])/864 - (2450048*s[16])/297 - 
       (186285101*s[17])/28512 - (4760363*s[18])/5832 - (591296*s[19])/729 - 
       (1250027249*s[20])/128304 - (892688419*s[21])/256608 + 
       (661331483*s[22])/256608 + (1028207*s[23])/198 + 
       (692563969*s[24])/128304 - (15505745425*s[25])/2309472 + 
       (8422166563*s[26])/2309472 + (2*s[30])/9 + 3*s[31] - (7*s[32])/4 + 
       (47*s[33])/24 - (79*s[34])/18 + (37*s[35])/9 - (727*s[36])/54 + 
       (3041*s[37])/108 + (449*s[38])/3 - (12025*s[39])/18 + 
       (40303*s[40])/54 - (21305*s[41])/36 + (26641*s[42])/27 + 
       (62861*s[43])/108 - (17009*s[44])/27 + (69193*s[45])/108 - 
       (15563*s[46])/3 + (153371*s[47])/648 + (5609*s[48])/162 - 
       (3506407*s[49])/1296 + (441263*s[50])/108 + (862445*s[51])/1296 + 
       (40448*s[52])/81 - (310489*s[53])/108 - (47*s[54])/8 - 
       (431635*s[55])/24 - (5785667*s[56])/1296 + (7862143*s[57])/1944 - 
       (91076485*s[58])/11664 + (94731349*s[59])/11664 + 
       (333210511*s[60])/7776 - (227484601*s[61])/104976 + s[62]/6 + s[67] + 
       s[68]/2 + (3*s[69])/2 - (3*s[70])/2 + (11*s[71])/12 + (13*s[72])/3 - 
       (5*s[73])/3 - (34*s[74])/9 + (34*s[75])/9 - s[76]/3 - s[77]/2 + 
       (8*s[78])/3 + (688*s[79])/9 - (752*s[80])/27 + (581*s[82])/6 - 
       s[83]/2 + 27*s[84] + (64*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*((11*s[2])/6 - (15*s[3])/4 - 
       (201*s[4])/8 + (841*s[5])/33 + (10691*s[6])/528 + (242603*s[7])/1188 + 
       (177571*s[8])/14256 - (226561*s[9])/1296 - (90619*s[10])/648 - 
       (1529657*s[11])/9504 - (760237*s[12])/9504 - (78641*s[13])/4752 - 
       (1159813*s[14])/4752 - (96017*s[15])/216 - (263965*s[16])/594 - 
       (1919915*s[17])/3168 - (16789*s[18])/1944 - (185273*s[19])/1944 - 
       (13039817*s[20])/21384 - (5159747*s[21])/21384 + 
       (2138815*s[22])/21384 - (4012213*s[23])/9504 + 
       (32727493*s[24])/85536 - (91587809*s[25])/769824 + 
       (100661987*s[26])/769824 - s[30]/2 + s[32]/2 - s[33]/6 + (5*s[34])/3 + 
       (4*s[35])/3 + (13*s[36])/36 - (11*s[37])/6 - (739*s[38])/36 + 
       (3701*s[39])/48 - (10723*s[40])/144 + (2683*s[41])/48 - 
       (17293*s[42])/144 - (8725*s[43])/1584 + (28399*s[44])/1056 + 
       (24583*s[45])/396 - (203561*s[46])/1584 - (746497*s[47])/9504 + 
       (1087445*s[48])/9504 + (322873*s[49])/9504 + (37579*s[50])/264 - 
       (1019089*s[51])/9504 - (822179*s[52])/9504 - (789985*s[53])/4752 - 
       (17531*s[54])/396 - (12104585*s[55])/9504 - (2055377*s[56])/9504 - 
       (13552465*s[57])/7128 + (29498033*s[58])/85536 - 
       (17536583*s[59])/85536 + (112525037*s[60])/57024 - 
       (100771873*s[61])/769824 + s[71]/2 + (11*s[74])/12 - (11*s[75])/12 - 
       (14*s[79])/3 - (41*s[80])/9 + (299*s[82])/3 + 22*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*
      ((11*s[2])/6 + (59*s[3])/8 - (519*s[4])/16 + (4207*s[5])/132 + 
       (8551*s[6])/264 + (1132699*s[7])/9504 + (164711*s[8])/7128 - 
       (134611*s[9])/1296 - (43007*s[10])/324 - (142379*s[11])/2376 + 
       (577595*s[12])/9504 + (704087*s[13])/9504 - (2842205*s[14])/9504 - 
       (344329*s[15])/864 - (1668839*s[16])/4752 - (941447*s[17])/1584 - 
       (42181*s[18])/1944 - (237619*s[19])/3888 - (2812163*s[20])/5346 - 
       (21694991*s[21])/85536 + (4075585*s[22])/85536 - 
       (4719967*s[23])/9504 + (22970551*s[24])/85536 + 
       (28960147*s[25])/769824 + (75336065*s[26])/769824 + s[30]/6 + 
       s[32]/2 + (29*s[34])/6 + (4*s[35])/3 + (13*s[36])/36 - (11*s[37])/6 - 
       (739*s[38])/36 + (3701*s[39])/48 - (10723*s[40])/144 + 
       (2683*s[41])/48 - (17293*s[42])/144 - (8725*s[43])/1584 + 
       (28399*s[44])/1056 + (24583*s[45])/396 - (203561*s[46])/1584 - 
       (746497*s[47])/9504 + (1087445*s[48])/9504 + (322873*s[49])/9504 + 
       (37579*s[50])/264 - (1019089*s[51])/9504 - (822179*s[52])/9504 - 
       (789985*s[53])/4752 - (17531*s[54])/396 - (12104585*s[55])/9504 - 
       (2055377*s[56])/9504 - (13552465*s[57])/7128 + 
       (29498033*s[58])/85536 - (17536583*s[59])/85536 + 
       (112525037*s[60])/57024 - (100771873*s[61])/769824 + s[71]/2 + 
       (11*s[74])/12 - (11*s[75])/12 - (14*s[79])/3 - (41*s[80])/9 + 
       (299*s[82])/3 + 22*s[85]) + HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]^2*
      ((41*s[2])/8 - (53*s[3])/8 + (1877*s[4])/6 + (127453*s[5])/528 + 
       (101319*s[6])/176 + (3189103*s[7])/594 - (1523899*s[8])/3564 - 
       (739375*s[9])/162 - (116848*s[10])/81 - (55922695*s[11])/9504 - 
       (30498703*s[12])/4752 - (12132491*s[13])/3168 - (7096051*s[14])/9504 - 
       (1029031*s[15])/144 - (9568523*s[16])/1056 - (66323423*s[17])/9504 - 
       (984067*s[18])/972 - (1462591*s[19])/1944 - (230788849*s[20])/21384 - 
       (336960457*s[21])/85536 + (243082955*s[22])/85536 + 
       (19493581*s[23])/3168 + (498577253*s[24])/85536 - 
       (5726779429*s[25])/769824 + (3180069589*s[26])/769824 - s[30] + 
       (5*s[31])/3 - (3*s[32])/2 - s[33]/8 - (23*s[34])/12 - (15*s[35])/4 - 
       (289*s[36])/24 + (707*s[37])/48 + 176*s[38] - (70979*s[39])/96 + 
       (80503*s[40])/96 - (21337*s[41])/32 + (103667*s[42])/96 + 
       (226087*s[43])/352 - (493717*s[44])/704 + (755539*s[45])/1056 - 
       (254929*s[46])/44 + (1497817*s[47])/6336 + (603187*s[48])/6336 - 
       (18695683*s[49])/6336 + (49349*s[50])/11 + (4745155*s[51])/6336 + 
       (3745349*s[52])/6336 - (4870861*s[53])/1584 + (4463*s[54])/44 - 
       (123537811*s[55])/6336 - (32848357*s[56])/6336 + 
       (6522625*s[57])/1188 - (519116105*s[58])/57024 + 
       (523920737*s[59])/57024 + (1803908503*s[60])/38016 - 
       (320841185*s[61])/128304 - s[68]/2 + s[69]/2 - s[70]/2 + (5*s[72])/2 - 
       (11*s[73])/6 - (31*s[74])/8 + (31*s[75])/8 - (3*s[76])/4 - 
       (5*s[77])/12 + (7*s[78])/6 + 89*s[79] - (623*s[80])/24 + 
       (181*s[82])/2 + (7*s[83])/4 + (81*s[84])/2 + 22*s[85]) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]^2*(-s[2]/3 + (305*s[3])/48 + 
       (33419*s[4])/96 + (201565*s[5])/1056 + (294743*s[6])/528 + 
       (96125647*s[7])/19008 - (6297317*s[8])/14256 - (10995335*s[9])/2592 - 
       (3347317*s[10])/2592 - (106132663*s[11])/19008 - 
       (58639195*s[12])/9504 - (2624029*s[13])/704 - (9268285*s[14])/19008 - 
       (3819917*s[15])/576 - (6732365*s[16])/792 - (121689455*s[17])/19008 - 
       (6978451*s[18])/7776 - (5919803*s[19])/7776 - (845206673*s[20])/
        85536 - (598675501*s[21])/171072 + (455479955*s[22])/171072 + 
       (1083371*s[23])/176 + (234941945*s[24])/42768 - 
       (11086980199*s[25])/1539648 + (5940613051*s[26])/1539648 + s[27]/24 + 
       (5*s[30])/6 - (11*s[31])/12 - (13*s[32])/12 - s[33] + (5*s[34])/6 - 
       (15*s[35])/4 - (289*s[36])/24 + (707*s[37])/48 + 176*s[38] - 
       (70979*s[39])/96 + (80503*s[40])/96 - (21337*s[41])/32 + 
       (103667*s[42])/96 + (226087*s[43])/352 - (493717*s[44])/704 + 
       (755539*s[45])/1056 - (254929*s[46])/44 + (1497817*s[47])/6336 + 
       (603187*s[48])/6336 - (18695683*s[49])/6336 + (49349*s[50])/11 + 
       (4745155*s[51])/6336 + (3745349*s[52])/6336 - (4870861*s[53])/1584 + 
       (4463*s[54])/44 - (123537811*s[55])/6336 - (32848357*s[56])/6336 + 
       (6522625*s[57])/1188 - (519116105*s[58])/57024 + 
       (523920737*s[59])/57024 + (1803908503*s[60])/38016 - 
       (320841185*s[61])/128304 - s[68]/2 + s[69]/2 - s[70]/2 + (5*s[72])/2 - 
       (11*s[73])/6 - (31*s[74])/8 + (31*s[75])/8 - (3*s[76])/4 - 
       (5*s[77])/12 + (7*s[78])/6 + 89*s[79] - (623*s[80])/24 + 
       (181*s[82])/2 + (7*s[83])/4 + (81*s[84])/2 + 22*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((359*s[2])/12 - (439*s[3])/8 + (23435*s[4])/48 + (4265*s[5])/8 + 
       (53509*s[6])/48 + (326277*s[7])/32 - (942887*s[8])/1296 - 
       (2842907*s[9])/324 - (1818215*s[10])/648 - (9640397*s[11])/864 - 
       (5203475*s[12])/432 - (6226967*s[13])/864 - (1540763*s[14])/864 - 
       (11715431*s[15])/864 - (3716639*s[16])/216 - (11662433*s[17])/864 - 
       (7842517*s[18])/3888 - (2562451*s[19])/1944 - (40463213*s[20])/1944 - 
       (61083221*s[21])/7776 + (42214429*s[22])/7776 + (4814453*s[23])/432 + 
       (21445807*s[24])/1944 - (242178923*s[25])/17496 + 
       (17358919*s[26])/2187 + s[28]/2 + 3*s[29] - (8*s[30])/3 + 
       (25*s[31])/3 - (9*s[32])/2 + (19*s[33])/24 - 13*s[34] - (11*s[35])/2 - 
       (469*s[36])/18 + (353*s[37])/18 + (1148*s[38])/3 - (4357*s[39])/3 + 
       (29113*s[40])/18 - (2553*s[41])/2 + (37721*s[42])/18 + 
       (43907*s[43])/36 - (191357*s[44])/144 + (93703*s[45])/72 - 
       (763007*s[46])/72 + (218809*s[47])/432 + (29173*s[48])/432 - 
       (1201061*s[49])/216 + (73505*s[50])/9 + (317719*s[51])/216 + 
       (510137*s[52])/432 - (1205731*s[53])/216 + (6637*s[54])/72 - 
       (5071627*s[55])/144 - (166879*s[56])/18 + (418369*s[57])/36 - 
       (1385978*s[58])/81 + (2806207*s[59])/162 + (111797921*s[60])/1296 - 
       (51805279*s[61])/11664 + s[65] - 3*s[66] + s[67] - s[68] + 6*s[69] + 
       (7*s[70])/3 - 3*s[71] + 7*s[72] - (19*s[73])/3 - (97*s[74])/12 + 
       (97*s[75])/12 - 5*s[76] - (17*s[77])/2 + (35*s[78])/3 + 138*s[79] - 
       (251*s[80])/18 - 94*s[82] - (17*s[83])/4 + (111*s[84])/2 + 22*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^3*((515*s[2])/48 + (371*s[3])/32 + 
       (41855*s[4])/192 + (102579*s[5])/352 + (1219507*s[6])/2112 + 
       (199472783*s[7])/38016 - (19975609*s[8])/57024 - (5809355*s[9])/1296 - 
       (2049661*s[10])/1296 - (215409049*s[11])/38016 - 
       (56895563*s[12])/9504 - (133158959*s[13])/38016 - 
       (43654465*s[14])/38016 - (25042129*s[15])/3456 - 
       (86122379*s[16])/9504 - (10500645*s[17])/1408 - (4022467*s[18])/3888 - 
       (11949617*s[19])/15552 - (1882095749*s[20])/171072 - 
       (1432530595*s[21])/342144 + (946040747*s[22])/342144 + 
       (24239351*s[23])/4752 + (498751553*s[24])/85536 - 
       (10648752101*s[25])/1539648 + (6259961465*s[26])/1539648 - 
       (7*s[30])/8 + (14*s[31])/3 - (41*s[32])/6 + (19*s[33])/16 - 
       (121*s[34])/24 + (5*s[35])/24 - (913*s[36])/72 + (2861*s[37])/144 + 
       (3187*s[38])/24 - (9465*s[39])/16 + (94691*s[40])/144 - 
       (1537*s[41])/3 + (124615*s[42])/144 + (794551*s[43])/1584 - 
       (3514861*s[44])/6336 + (1980751*s[45])/3168 - (5114485*s[46])/1056 + 
       (4048667*s[47])/19008 + (751703*s[48])/19008 - 
       (45393809*s[49])/19008 + (745049*s[50])/198 + (11101063*s[51])/19008 + 
       (8648425*s[52])/19008 - (4165927*s[53])/1584 - (247*s[54])/132 - 
       (105338005*s[55])/6336 - (82682407*s[56])/19008 + 
       (117039785*s[57])/28512 - (1280278787*s[58])/171072 + 
       (1299245873*s[59])/171072 + (4517533865*s[60])/114048 - 
       (3318822533*s[61])/1539648 + s[64]/12 - (7*s[65])/12 - (8*s[66])/3 + 
       (37*s[67])/12 + (3*s[68])/2 + 4*s[69] - (13*s[70])/6 + (13*s[71])/12 + 
       (17*s[72])/4 - (29*s[73])/4 - (55*s[74])/16 + (55*s[75])/16 - 
       (11*s[76])/6 + (37*s[77])/24 + (33*s[78])/4 + (140*s[79])/3 - 
       (1393*s[80])/72 + s[81]/72 + (301*s[82])/2 + 15*s[84] + 23*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
      ((77*s[2])/16 + (315*s[3])/32 + (70301*s[4])/192 + (37343*s[5])/132 + 
       (472929*s[6])/704 + (234560515*s[7])/38016 - (28046477*s[8])/57024 - 
       (424018*s[9])/81 - (4243369*s[10])/2592 - (257416169*s[11])/38016 - 
       (70217779*s[12])/9504 - (168752479*s[13])/38016 - 
       (31497437*s[14])/38016 - (28439765*s[15])/3456 - 
       (99031681*s[16])/9504 - (101929717*s[17])/12672 - 
       (4381007*s[18])/3888 - (14231749*s[19])/15552 - 
       (2109911785*s[20])/171072 - (1532930339*s[21])/342144 + 
       (1113433471*s[22])/342144 + (66558485*s[23])/9504 + 
       (288688871*s[24])/42768 - (13233107095*s[25])/1539648 + 
       (7294919263*s[26])/1539648 + (7*s[30])/12 + (17*s[31])/12 - 
       (13*s[32])/24 - (9*s[33])/32 - (29*s[34])/12 - (169*s[35])/24 - 
       16*s[36] + (4007*s[37])/144 + (5219*s[38])/24 - (5111*s[39])/6 + 
       (22891*s[40])/24 - (11861*s[41])/16 + 1225*s[42] + (24676*s[43])/33 - 
       (550857*s[44])/704 + (297117*s[45])/352 - (2334071*s[46])/352 + 
       (1856849*s[47])/6336 + (621593*s[48])/6336 - (21326111*s[49])/6336 + 
       (669671*s[50])/132 + (5351333*s[51])/6336 + (4384459*s[52])/6336 - 
       (346514*s[53])/99 + (46595*s[54])/264 - (46934447*s[55])/2112 - 
       (37658249*s[56])/6336 + (60051037*s[57])/9504 - 
       (596640709*s[58])/57024 + (601510231*s[59])/57024 + 
       (2061170339*s[60])/38016 - (1464941935*s[61])/513216 - s[69]/2 + 
       s[70]/2 - s[71]/3 + (11*s[72])/4 - (17*s[73])/12 - (173*s[74])/48 + 
       (57*s[75])/16 - 4*s[76] - (5*s[77])/24 + (25*s[78])/12 + 
       (251*s[79])/3 - (461*s[80])/24 + (149*s[82])/2 + s[83]/2 + 36*s[84] + 
       23*s[85]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((-235*s[2])/72 + (5989*s[3])/144 + (8485*s[4])/288 + 
       (53687*s[5])/3168 + (98315*s[6])/1584 + (46531*s[7])/132 - 
       (446483*s[8])/28512 - (277709*s[9])/1296 - (185197*s[10])/1296 - 
       (185257*s[11])/594 - (73882*s[12])/297 - (628157*s[13])/4752 - 
       (1163449*s[14])/9504 - (597233*s[15])/864 - (3283781*s[16])/4752 - 
       (7717855*s[17])/9504 - (79667*s[18])/7776 - (765737*s[19])/3888 - 
       (61763401*s[20])/85536 - (928243*s[21])/5346 + (2719439*s[22])/21384 + 
       (183143*s[23])/9504 + (12210131*s[24])/21384 - 
       (720162431*s[25])/1539648 + (338870933*s[26])/1539648 - 
       (35*s[30])/18 - (49*s[31])/18 + (37*s[32])/18 - (251*s[33])/72 + 
       (275*s[34])/36 + (743*s[35])/36 - (163*s[36])/36 - (103*s[37])/4 - 
       (39*s[38])/4 + (956*s[39])/9 - (3469*s[40])/36 + (4775*s[41])/72 - 
       (6811*s[42])/36 + (5779*s[43])/99 - (25661*s[44])/3168 + 
       (125497*s[45])/396 - (147373*s[46])/132 - (1735727*s[47])/9504 + 
       (2900641*s[48])/9504 - (1871407*s[49])/9504 + (87997*s[50])/99 - 
       (1282099*s[51])/9504 - (956467*s[52])/9504 - (3732749*s[53])/4752 - 
       (18961*s[54])/396 - (53914177*s[55])/9504 - (11913709*s[56])/9504 - 
       (53477551*s[57])/14256 - (45631703*s[58])/85536 + 
       (68030723*s[59])/85536 + (609345889*s[60])/57024 - 
       (72415789*s[61])/96228 + s[62]/4 + (5*s[66])/6 - (5*s[67])/6 - 
       (11*s[68])/6 + s[69]/6 - (10*s[70])/3 - (9*s[71])/4 - (47*s[72])/18 + 
       (41*s[73])/6 + (17*s[74])/72 - (17*s[75])/72 + (34*s[76])/9 + 
       (59*s[77])/12 - (97*s[78])/18 - (130*s[79])/3 + (251*s[80])/9 + 
       152*s[82] + (55*s[83])/12 + (155*s[84])/6 + (70*s[85])/3) + 
     HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*
      (-185*s[3] - (697*s[4])/2 - (1778*s[5])/11 - (10493*s[6])/22 - 
       (526649*s[7])/132 + (71629*s[8])/198 + (28885*s[9])/9 + 
       (8312*s[10])/9 + (580447*s[11])/132 + (318163*s[12])/66 + 
       (402011*s[13])/132 + (2413*s[14])/132 + (64795*s[15])/12 + 
       (437659*s[16])/66 + (228799*s[17])/44 + (15560*s[18])/27 + 
       (50855*s[19])/54 + (4297439*s[20])/594 + (2817007*s[21])/1188 - 
       (2331215*s[22])/1188 - (150583*s[23])/33 - (1321250*s[24])/297 + 
       (32126357*s[25])/5346 - (15929831*s[26])/5346 - 40*s[30] + 17*s[36] - 
       (137*s[37])/2 - 99*s[38] + (2031*s[39])/4 - (2131*s[40])/4 + 
       (1289*s[41])/4 - (2965*s[42])/4 - (11713*s[43])/44 + 
       (23747*s[44])/88 - (29351*s[45])/44 + (39838*s[46])/11 - 
       (113263*s[47])/264 + (152519*s[48])/264 + (302917*s[49])/264 - 
       (28137*s[50])/11 - (44607*s[51])/88 - (138209*s[52])/264 + 
       (126763*s[53])/66 - (14889*s[54])/22 + (3227849*s[55])/264 + 
       (878179*s[56])/264 - (399458*s[57])/99 + (14500955*s[58])/2376 - 
       (14235311*s[59])/2376 - (41382757*s[60])/1584 + 
       (19756783*s[61])/10692 - 6*s[68] + 6*s[69] - 3*s[71] - 18*s[76] - 
       6*s[77] - 6*s[78] + 12*s[79] + 61*s[80] + 48*s[82] + 24*s[85]) + 
     HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*(33*s[2] + (81*s[3])/2 + 
       (153*s[4])/4 - (17707*s[5])/44 - (1711*s[6])/22 - (222071*s[7])/88 + 
       (6151*s[8])/22 + (9741*s[9])/4 + (2079*s[10])/4 + (229915*s[11])/88 + 
       (61767*s[12])/22 + (107153*s[13])/88 + (52927*s[14])/88 + 
       (80309*s[15])/24 + (170723*s[16])/44 + (281403*s[17])/88 + 
       (12901*s[18])/12 - (2155*s[19])/12 + (757841*s[20])/132 + 
       (237843*s[21])/88 - (116185*s[22])/88 - (98203*s[23])/22 - 
       (118435*s[24])/66 + (6770807*s[25])/2376 - (5265287*s[26])/2376 + 
       4*s[27] + 18*s[31] + (159*s[33])/2 - 52*s[34] + 17*s[36] - 
       (137*s[37])/2 - 99*s[38] + (2031*s[39])/4 - (2131*s[40])/4 + 
       (1289*s[41])/4 - (2965*s[42])/4 - (11713*s[43])/44 + 
       (23747*s[44])/88 - (29351*s[45])/44 + (39838*s[46])/11 - 
       (113263*s[47])/264 + (152519*s[48])/264 + (302917*s[49])/264 - 
       (28137*s[50])/11 - (44607*s[51])/88 - (138209*s[52])/264 + 
       (126763*s[53])/66 - (14889*s[54])/22 + (3227849*s[55])/264 + 
       (878179*s[56])/264 - (399458*s[57])/99 + (14500955*s[58])/2376 - 
       (14235311*s[59])/2376 - (41382757*s[60])/1584 + 
       (19756783*s[61])/10692 - 6*s[68] + 6*s[69] - 3*s[71] - 18*s[76] - 
       6*s[77] - 6*s[78] + 12*s[79] + 61*s[80] + 48*s[82] + 24*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - u]*
      (2*s[2] + (27*s[3])/2 - (105*s[4])/4 + (1137*s[5])/22 + 
       (19155*s[6])/176 + (137497*s[7])/396 + (80341*s[8])/4752 - 
       (125281*s[9])/432 - (17885*s[10])/108 - (1088891*s[11])/3168 - 
       (897217*s[12])/3168 - (23247*s[13])/176 - (314225*s[14])/792 - 
       (13055*s[15])/24 - (173081*s[16])/264 - (2246665*s[17])/3168 - 
       (263579*s[18])/1296 + (105335*s[19])/1296 - (14413297*s[20])/14256 - 
       (7907215*s[21])/14256 + (2301719*s[22])/14256 + (58803*s[23])/352 + 
       (9936151*s[24])/28512 - (61350995*s[25])/256608 + 
       (94260233*s[26])/256608 - 2*s[30] + 2*s[34] + 8*s[35] + (14*s[36])/3 - 
       (139*s[37])/6 - (7*s[38])/2 + (69*s[39])/2 - (199*s[40])/6 + 
       (67*s[41])/2 - (371*s[42])/6 - (665*s[43])/66 + (5939*s[44])/264 + 
       (2542*s[45])/33 - (3484*s[46])/11 - (62267*s[47])/1584 + 
       (153817*s[48])/1584 + (148367*s[49])/1584 + (49075*s[50])/264 - 
       (66457*s[51])/1584 - (173*s[52])/792 - (1544*s[53])/11 + 
       (3475*s[54])/22 - (212321*s[55])/176 - (1057403*s[56])/1584 - 
       (157007*s[57])/594 - (6705505*s[58])/14256 + (3985507*s[59])/14256 + 
       (21808459*s[60])/9504 - (11760517*s[61])/32076 + s[74] - s[75] - 
       16*s[79] + (8*s[80])/3 + 78*s[82] + 24*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      (2*s[2] + 4*s[3] + (75*s[4])/2 + (97*s[5])/2 + (225*s[6])/2 + 
       (79073*s[7])/72 - (6593*s[8])/108 - (101147*s[9])/108 - 
       (42151*s[10])/108 - (85043*s[11])/72 - (44057*s[12])/36 - 
       (5781*s[13])/8 - (21023*s[14])/72 - (37163*s[15])/24 - 
       (23275*s[16])/12 - (118657*s[17])/72 - (26027*s[18])/162 - 
       (79907*s[19])/324 - (765217*s[20])/324 - (548687*s[21])/648 + 
       (374695*s[22])/648 + 580*s[23] + (439679*s[24])/324 - 
       (4195501*s[25])/2916 + (2382001*s[26])/2916 + s[32] + s[33] - 
       (25*s[35])/6 - (17*s[36])/6 + (2*s[37])/3 + 22*s[38] - 79*s[39] + 
       (289*s[40])/3 - 86*s[41] + (296*s[42])/3 + (388*s[43])/3 - 
       (361*s[44])/3 + (542*s[45])/3 - 1182*s[46] - (268*s[47])/9 + 
       (1466*s[48])/9 - (5507*s[49])/9 + (2941*s[50])/3 + (601*s[51])/9 + 
       (617*s[52])/18 - (3989*s[53])/6 - 135*s[54] - 4425*s[55] - 
       (9268*s[56])/9 - (14015*s[57])/27 - (112589*s[58])/81 + 
       (118169*s[59])/81 + (293182*s[60])/27 - (1570187*s[61])/2916 + 
       4*s[70] - 4*s[77] + 8*s[79] - (4*s[80])/3 + 126*s[82] + 24*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - w]*
      (2*s[2] + (16*s[3])/3 - 60*s[4] + (554*s[5])/33 - (227*s[6])/22 - 
       (343019*s[7])/1188 + (100421*s[8])/1782 + (21485*s[9])/81 - 
       (3559*s[10])/162 + (410495*s[11])/1188 + (528445*s[12])/1188 + 
       (48145*s[13])/132 - (155699*s[14])/594 + (8041*s[15])/36 + 
       (133313*s[16])/396 + (61459*s[17])/1188 - (2111*s[18])/972 + 
       (54791*s[19])/972 + (2233337*s[20])/10692 + (70289*s[21])/2673 - 
       (1789699*s[22])/10692 - (46793*s[23])/66 - (1603279*s[24])/10692 + 
       (56448089*s[25])/96228 - (20201849*s[26])/96228 - (5*s[30])/3 + 
       2*s[34] + (4*s[35])/3 + (29*s[36])/3 - (509*s[37])/36 - 
       (205*s[38])/6 + (361*s[39])/2 - (371*s[40])/2 + (2027*s[41])/12 - 
       (3449*s[42])/12 - (655*s[43])/6 + (307*s[44])/3 - (2363*s[45])/72 + 
       (41489*s[46])/72 - (1085*s[47])/9 + (1585*s[48])/9 + 
       (17159*s[49])/36 - (941*s[50])/2 - (1933*s[51])/9 - (1378*s[52])/9 + 
       (64903*s[53])/216 + (2785*s[54])/36 + (27853*s[55])/18 + 
       (5041*s[56])/27 - (339533*s[57])/162 + (2434735*s[58])/1944 - 
       (675151*s[59])/486 - (1753373*s[60])/432 + (1736033*s[61])/34992 - 
       s[62]/3 + (7*s[71])/6 + s[74] - s[75] - 20*s[79] - (65*s[80])/18 + 
       131*s[82] + 24*s[85]) + HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((3*s[3])/4 + (161*s[4])/8 + (5543*s[5])/44 + (7301*s[6])/88 + 
       (619163*s[7])/528 - (221777*s[8])/2376 - (110189*s[9])/108 - 
       (43981*s[10])/108 - (1826981*s[11])/1584 - (104701*s[12])/99 - 
       (886403*s[13])/1584 - (581045*s[14])/1584 - (282199*s[15])/144 - 
       (1720825*s[16])/792 - (3445679*s[17])/1584 - (42343*s[18])/324 - 
       (198235*s[19])/648 - (18262975*s[20])/7128 - (13237355*s[21])/14256 + 
       (8704759*s[22])/14256 + (485975*s[23])/792 + (10257197*s[24])/7128 - 
       (89540035*s[25])/64152 + (50735455*s[26])/64152 - (27*s[36])/2 - 
       (347*s[37])/6 + (71*s[38])/2 - (707*s[39])/8 + (607*s[40])/8 - 
       (625*s[41])/8 + (853*s[42])/8 + (7549*s[43])/88 - (14743*s[44])/176 + 
       (13165*s[45])/66 - (316861*s[46])/264 + (10181*s[47])/528 - 
       (11401*s[48])/528 - (235715*s[49])/528 + (11856*s[50])/11 + 
       (19181*s[51])/176 - (6899*s[52])/528 - (666059*s[53])/792 - 
       (8717*s[54])/132 - (915597*s[55])/176 - (1644659*s[56])/1584 - 
       (484601*s[57])/594 - (20063017*s[58])/14256 + (23515615*s[59])/14256 + 
       (11479975*s[60])/1056 - (71447083*s[61])/128304 - (3*s[71])/2 - 
       16*s[79] + (82*s[80])/3 + 180*s[82] + 24*s[85]) + 
     HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      (58*s[4] + (2537*s[5])/44 + (555*s[6])/44 + (292799*s[7])/264 - 
       (25633*s[8])/297 - (104519*s[9])/108 - (9976*s[10])/27 - 
       (931693*s[11])/792 - (491011*s[12])/396 - (489337*s[13])/792 - 
       (80053*s[14])/792 - (124361*s[15])/72 - (775415*s[16])/396 - 
       (1264495*s[17])/792 - (15394*s[18])/81 - (19637*s[19])/81 - 
       (4357171*s[20])/1782 - (5969467*s[21])/7128 + (4293965*s[22])/7128 + 
       (245537*s[23])/198 + (4762141*s[24])/3564 - (94075297*s[25])/64152 + 
       (51138421*s[26])/64152 + (9*s[33])/4 - 3*s[34] - (27*s[36])/2 - 
       (347*s[37])/6 + (71*s[38])/2 - (707*s[39])/8 + (607*s[40])/8 - 
       (625*s[41])/8 + (853*s[42])/8 + (7549*s[43])/88 - (14743*s[44])/176 + 
       (13165*s[45])/66 - (316861*s[46])/264 + (10181*s[47])/528 - 
       (11401*s[48])/528 - (235715*s[49])/528 + (11856*s[50])/11 + 
       (19181*s[51])/176 - (6899*s[52])/528 - (666059*s[53])/792 - 
       (8717*s[54])/132 - (915597*s[55])/176 - (1644659*s[56])/1584 - 
       (484601*s[57])/594 - (20063017*s[58])/14256 + (23515615*s[59])/14256 + 
       (11479975*s[60])/1056 - (71447083*s[61])/128304 - (3*s[71])/2 - 
       16*s[79] + (82*s[80])/3 + 180*s[82] + 24*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((13*s[2])/2 - (139*s[3])/4 - (1457*s[4])/2 - (24181*s[5])/88 - 
       (73677*s[6])/88 - (13366271*s[7])/1584 + (262991*s[8])/297 + 
       (760855*s[9])/108 + (373303*s[10])/216 + (14873053*s[11])/1584 + 
       (8471053*s[12])/792 + (10429181*s[13])/1584 - (174701*s[14])/1584 + 
       (1531291*s[15])/144 + (1349654*s[16])/99 + (5041891*s[17])/528 + 
       (472571*s[18])/324 + (188459*s[19])/162 + (54790867*s[20])/3564 + 
       (72816685*s[21])/14256 - (63107549*s[22])/14256 - 
       (9913895*s[23])/792 - (61618159*s[24])/7128 + (1619598073*s[25])/
        128304 - (806997793*s[26])/128304 - 2*s[30] - 2*s[31] + (5*s[32])/4 - 
       (51*s[33])/8 + 16*s[34] + (3*s[35])/2 + (95*s[36])/6 - (459*s[37])/8 - 
       (1363*s[38])/4 + (11407*s[39])/8 - (36941*s[40])/24 + 1164*s[41] - 
       (25871*s[42])/12 - (21089*s[43])/24 + (48979*s[44])/48 - 
       (14165*s[45])/16 + (389455*s[46])/48 - (130847*s[47])/144 + 
       (107467*s[48])/144 + (556337*s[49])/144 - (71929*s[50])/12 - 
       (236827*s[51])/144 - (193189*s[52])/144 + (592097*s[53])/144 - 
       (27769*s[54])/24 + (1206929*s[55])/48 + (1056893*s[56])/144 - 
       (3272341*s[57])/216 + (2421683*s[58])/162 - (18787123*s[59])/1296 - 
       (3288125*s[60])/54 + (78165155*s[61])/23328 - 6*s[66] + 6*s[67] - 
       6*s[68] + 18*s[69] + (21*s[70])/2 + (3*s[71])/4 - 6*s[72] + 2*s[73] + 
       (33*s[74])/4 - (33*s[75])/4 + 12*s[76] - (19*s[77])/2 + 2*s[78] - 
       154*s[79] + (127*s[80])/4 + 213*s[82] + 3*s[83] - 54*s[84] + 
       24*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 1 - w]*
      ((27*s[2])/2 - (395*s[3])/4 - (10111*s[4])/8 - (15617*s[5])/22 - 
       (152189*s[6])/88 - (26794667*s[7])/1584 + (3936881*s[8])/2376 + 
       (381635*s[9])/27 + (107884*s[10])/27 + (29340917*s[11])/1584 + 
       (4051919*s[12])/198 + (6482797*s[13])/528 + (1042169*s[14])/1584 + 
       (1089071*s[15])/48 + (1237627*s[16])/44 + (33688603*s[17])/1584 + 
       (506951*s[18])/162 + (1570429*s[19])/648 + (229529407*s[20])/7128 + 
       (164374919*s[21])/14256 - (125211871*s[22])/14256 - 
       (776552*s[23])/33 - (31438937*s[24])/1782 + (1553285449*s[25])/64152 - 
       (831052063*s[26])/64152 - 8*s[30] - 2*s[31] - 3*s[32] - 9*s[33] + 
       17*s[34] + 22*s[35] + (233*s[36])/3 - (280*s[37])/3 - 653*s[38] + 
       (10781*s[39])/4 - (34763*s[40])/12 + (8945*s[41])/4 - 
       (47275*s[42])/12 - (283297*s[43])/132 + (291727*s[44])/132 - 
       (305647*s[45])/132 + (623387*s[46])/33 - (485279*s[47])/396 + 
       (126713*s[48])/198 + (3720209*s[49])/396 - (472864*s[50])/33 - 
       (540557*s[51])/198 - (225079*s[52])/99 + (4073545*s[53])/396 - 
       (68741*s[54])/66 + (4204159*s[55])/66 + (738469*s[56])/44 - 
       (4138273*s[57])/198 + (18103861*s[58])/594 - (18580999*s[59])/594 - 
       (176997643*s[60])/1188 + (28810547*s[61])/3564 - s[62] - 2*s[67] + 
       4*s[70] - s[71] - 22*s[72] + 2*s[73] + (31*s[74])/2 - (31*s[75])/2 + 
       21*s[76] + 7*s[77] - 22*s[78] - 136*s[79] + (16*s[80])/3 + 690*s[82] - 
       9*s[83] - 24*s[84] + 24*s[85]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 0, 1}, 1 - v]*((-63*s[2])/2 + (149*s[3])/4 - 
       (7635*s[4])/8 - (40347*s[5])/44 - (163655*s[6])/88 - 
       (2985633*s[7])/176 + (3404803*s[8])/2376 + (1567441*s[9])/108 + 
       (446975*s[10])/108 + (29204815*s[11])/1584 + (7919495*s[12])/396 + 
       (18955201*s[13])/1584 + (3625603*s[14])/1584 + (3283343*s[15])/144 + 
       (11213431*s[16])/396 + (35052001*s[17])/1584 + (270956*s[18])/81 + 
       (1299011*s[19])/648 + (239986037*s[20])/7128 + 
       (179230897*s[21])/14256 - (127316945*s[22])/14256 - 
       (4104415*s[23])/198 - (15744962*s[24])/891 + (1495601945*s[25])/
        64152 - (841501475*s[26])/64152 - 4*s[30] - 20*s[31] + 6*s[32] - 
       9*s[33] + 40*s[34] + 22*s[35] + (233*s[36])/3 - (280*s[37])/3 - 
       653*s[38] + (10781*s[39])/4 - (34763*s[40])/12 + (8945*s[41])/4 - 
       (47275*s[42])/12 - (283297*s[43])/132 + (291727*s[44])/132 - 
       (305647*s[45])/132 + (623387*s[46])/33 - (485279*s[47])/396 + 
       (126713*s[48])/198 + (3720209*s[49])/396 - (472864*s[50])/33 - 
       (540557*s[51])/198 - (225079*s[52])/99 + (4073545*s[53])/396 - 
       (68741*s[54])/66 + (4204159*s[55])/66 + (738469*s[56])/44 - 
       (4138273*s[57])/198 + (18103861*s[58])/594 - (18580999*s[59])/594 - 
       (176997643*s[60])/1188 + (28810547*s[61])/3564 - s[62] - 2*s[67] + 
       4*s[70] - s[71] - 22*s[72] + 2*s[73] + (31*s[74])/2 - (31*s[75])/2 + 
       21*s[76] + 7*s[77] - 22*s[78] - 136*s[79] + (16*s[80])/3 + 690*s[82] - 
       9*s[83] - 24*s[84] + 24*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - w]*((25*s[2])/12 + (83*s[3])/16 + (3009*s[4])/32 + 
       (62659*s[5])/528 + (254329*s[6])/1056 + (4728487*s[7])/2112 - 
       (1476821*s[8])/9504 - (411307*s[9])/216 - (149267*s[10])/216 - 
       (15195431*s[11])/6336 - (7996679*s[12])/3168 - (9304591*s[13])/6336 - 
       (3284861*s[14])/6336 - (1799879*s[15])/576 - (12266357*s[16])/3168 - 
       (6806303*s[17])/2112 - (528661*s[18])/1296 - (967405*s[19])/2592 - 
       (134289007*s[20])/28512 - (99417935*s[21])/57024 + 
       (66799747*s[22])/57024 + (3073727*s[23])/1584 + 
       (18236027*s[24])/7128 - (755711845*s[25])/256608 + 
       (437192557*s[26])/256608 - s[31]/2 + (3*s[32])/4 - (83*s[33])/48 + 
       (17*s[34])/12 - (23*s[35])/12 - (295*s[36])/72 + (1489*s[37])/144 + 
       (1357*s[38])/24 - (7119*s[39])/32 + (72883*s[40])/288 - 
       (19441*s[41])/96 + (90107*s[42])/288 + (743225*s[43])/3168 - 
       (1425445*s[44])/6336 + (1030201*s[45])/3168 - (1201745*s[46])/528 + 
       (853895*s[47])/19008 + (1957481*s[48])/19008 - 
       (20086181*s[49])/19008 + (708331*s[50])/396 + (3982465*s[51])/19008 + 
       (3279427*s[52])/19008 - (1993715*s[53])/1584 + (573*s[54])/44 - 
       (51820259*s[55])/6336 - (40165771*s[56])/19008 + 
       (10221193*s[57])/14256 - (547283999*s[58])/171072 + 
       (561452915*s[59])/171072 + (2200210385*s[60])/114048 - 
       (809949559*s[61])/769824 + s[68]/4 - s[69]/2 + (5*s[70])/2 + s[72] - 
       s[74]/3 + s[75]/3 - s[76] - 2*s[77] + s[78] + (113*s[79])/6 - 
       (391*s[80])/72 + 111*s[82] - (3*s[83])/4 + (9*s[84])/2 + 24*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - v]*
      ((11*s[2])/2 + s[3] + (711*s[4])/4 + (7913*s[5])/44 + 
       (115745*s[6])/264 + (2887739*s[7])/792 - (636887*s[8])/2376 - 
       (671293*s[9])/216 - (108949*s[10])/108 - (6330107*s[11])/1584 - 
       (6861949*s[12])/1584 - (2065259*s[13])/792 - (129265*s[14])/198 - 
       (344639*s[15])/72 - (4881893*s[16])/792 - (2533435*s[17])/528 - 
       (487091*s[18])/648 - (288265*s[19])/648 - (52814797*s[20])/7128 - 
       (20167831*s[21])/7128 + (13721945*s[22])/7128 + (6278345*s[23])/1584 + 
       (55907647*s[24])/14256 - (637260575*s[25])/128304 + 
       (370330601*s[26])/128304 - 2*s[30] + 2*s[31] - s[32] + (5*s[33])/4 - 
       2*s[34] + (15*s[35])/2 - 13*s[36] + (131*s[37])/24 + (865*s[38])/12 - 
       (5585*s[39])/12 + (6335*s[40])/12 - (3361*s[41])/8 + 
       (17417*s[42])/24 + (45635*s[43])/132 - (35129*s[44])/88 + 
       (194207*s[45])/528 - (1752997*s[46])/528 + (18451*s[47])/88 - 
       (4209*s[48])/88 - (140691*s[49])/88 + (329057*s[50])/132 + 
       (190097*s[51])/396 + (35107*s[52])/88 - (2666615*s[53])/1584 + 
       (74353*s[54])/264 - (2756221*s[55])/264 - (1255039*s[56])/396 + 
       (11612423*s[57])/2376 - (81957167*s[58])/14256 + 
       (19850789*s[59])/3564 + (81294797*s[60])/3168 - 
       (399035317*s[61])/256608 + s[62]/4 + 2*s[67] + 2*s[69] + 
       (15*s[71])/4 + 2*s[72] - 2*s[73] - (3*s[74])/2 + (3*s[75])/2 - s[77] + 
       2*s[78] + 40*s[79] - (457*s[80])/12 + 102*s[82] + 12*s[84] + 
       24*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - w]*
      ((-3*s[2])/2 + (87*s[3])/4 + (1211*s[4])/8 + (8849*s[5])/176 + 
       (42363*s[6])/176 + (1425421*s[7])/792 - (365107*s[8])/1584 - 
       (208337*s[9])/144 - (54493*s[10])/144 - (1090849*s[11])/528 - 
       (1285979*s[12])/528 - (1151225*s[13])/792 - (2447*s[14])/66 - 
       (100135*s[15])/48 - (1182739*s[16])/396 - (196508*s[17])/99 - 
       (175007*s[18])/432 - (4612*s[19])/27 - (7963073*s[20])/2376 - 
       (625595*s[21])/528 + (2211827*s[22])/2376 + (1188791*s[23])/396 + 
       (4233281*s[24])/2376 - (77515597*s[25])/28512 + 
       (40513393*s[26])/28512 - 2*s[29] + s[30] - 2*s[31] - (89*s[33])/8 + 
       (21*s[34])/2 + (15*s[35])/2 - 13*s[36] + (451*s[37])/24 + 
       (845*s[38])/12 - (4585*s[39])/12 + (5335*s[40])/12 - (2681*s[41])/8 + 
       (13897*s[42])/24 + (39715*s[43])/132 - (32789*s[44])/88 + 
       (53109*s[45])/176 - (1433317*s[46])/528 + (19369*s[47])/132 + 
       (6829*s[48])/132 - (196069*s[49])/132 + (68593*s[50])/33 + 
       (297359*s[51])/792 + (76081*s[52])/264 - (2144855*s[53])/1584 + 
       (16033*s[54])/264 - (1114013*s[55])/132 - (1913663*s[56])/792 + 
       (8841203*s[57])/2376 - (65382557*s[58])/14256 + 
       (31759063*s[59])/7128 + (23212129*s[60])/1056 - 
       (307344877*s[61])/256608 + s[62]/4 + 2*s[67] + 2*s[69] + 
       (15*s[71])/4 + 2*s[72] - 2*s[73] - (3*s[74])/2 + (3*s[75])/2 - s[77] + 
       2*s[78] + 40*s[79] - (457*s[80])/12 + 162*s[82] + 12*s[84] + 
       24*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - w]*((7*s[2])/6 - (121*s[3])/3 + (730*s[4])/3 + 
       (16439*s[5])/132 + (49909*s[6])/132 + (79129*s[7])/22 - 
       (85565*s[8])/297 - (83062*s[9])/27 - (25244*s[10])/27 - 
       (3121769*s[11])/792 - (428819*s[12])/99 - (2097239*s[13])/792 - 
       (325691*s[14])/792 - (168683*s[15])/36 - (4721489*s[16])/792 - 
       (3549497*s[17])/792 - (190409*s[18])/324 - (175645*s[19])/324 - 
       (25051999*s[20])/3564 - (17120729*s[21])/7128 + 
       (13725643*s[22])/7128 + (3190705*s[23])/792 + (28195309*s[24])/7128 - 
       (326962013*s[25])/64152 + (171144437*s[26])/64152 - (11*s[30])/3 - 
       (4*s[31])/3 + s[32]/3 - (17*s[33])/3 + (7*s[34])/3 - (5*s[35])/3 - 
       (34*s[36])/3 - (71*s[37])/12 + 127*s[38] - (1544*s[39])/3 + 
       628*s[40] - (1612*s[41])/3 + (4465*s[42])/6 + (6063*s[43])/11 - 
       (50399*s[44])/88 + (56373*s[45])/88 - (1296481*s[46])/264 + 
       (2017*s[47])/66 + (21113*s[48])/66 - (53387*s[49])/22 + 
       (86435*s[50])/22 + (18565*s[51])/33 + (106075*s[52])/264 - 
       (2144179*s[53])/792 + (6913*s[54])/66 - (1715431*s[55])/99 - 
       (1769485*s[56])/396 + (603676*s[57])/297 - (49331275*s[58])/7128 + 
       (12714025*s[59])/1782 + (66147595*s[60])/1584 - 
       (274360661*s[61])/128304 + s[62]/2 + 2*s[66] - 2*s[67] - 6*s[68] + 
       2*s[69] + 2*s[70] - 2*s[71] - (2*s[72])/3 - 2*s[73] - (17*s[74])/6 + 
       (17*s[75])/6 + (20*s[76])/3 - 5*s[77] - (37*s[78])/3 + 116*s[79] - 
       (67*s[80])/2 - 52*s[82] + 5*s[83] + 62*s[84] + 24*s[85]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((-39*s[2])/2 - (37*s[3])/4 + (4055*s[4])/8 + (2151*s[5])/22 + 
       (20181*s[6])/44 + (9782821*s[7])/1584 - (29819*s[8])/66 - 
       (127271*s[9])/24 - (21709*s[10])/12 - (921061*s[11])/132 - 
       (4101125*s[12])/528 - (7641347*s[13])/1584 - (31657*s[14])/528 - 
       (400957*s[15])/48 - (4232879*s[16])/396 - (765403*s[17])/99 - 
       (143107*s[18])/216 - (164827*s[19])/108 - (14252041*s[20])/1188 - 
       (18502037*s[21])/4752 + (5365111*s[22])/1584 + (9841105*s[23])/1584 + 
       (1336041*s[24])/176 - (393575045*s[25])/42768 + 
       (194116343*s[26])/42768 - (3*s[28])/2 + 12*s[29] - 6*s[30] + 
       13*s[31] + 5*s[32] + (13*s[33])/4 - 5*s[34] + 5*s[35] + 19*s[36] + 
       (161*s[37])/6 + (1355*s[38])/6 - (8123*s[39])/12 + (9875*s[40])/12 - 
       (1383*s[41])/2 + (5669*s[42])/6 + (81101*s[43])/132 - 
       (32369*s[44])/44 + (13217*s[45])/22 - (674471*s[46])/132 + 
       (10511*s[47])/264 + (111029*s[48])/264 - (834071*s[49])/264 + 
       (291751*s[50])/66 + (562579*s[51])/792 + (31267*s[52])/66 - 
       (506549*s[53])/198 - (137081*s[54])/132 - (4531937*s[55])/264 - 
       (3097363*s[56])/792 + (3284311*s[57])/594 - (58941923*s[58])/7128 + 
       (58434917*s[59])/7128 + (74207521*s[60])/1584 - 
       (117724589*s[61])/64152 + (15*s[65])/2 + 12*s[66] - 12*s[67] - 
       12*s[68] - 30*s[69] + 15*s[70] - (15*s[71])/2 - 14*s[72] + 26*s[73] + 
       (9*s[74])/2 - (9*s[75])/2 + 5*s[76] - 8*s[77] - 38*s[78] + 212*s[79] - 
       (125*s[80])/3 + 270*s[82] - 27*s[83] + 66*s[84] + 24*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((-35*s[2])/2 - (437*s[3])/4 + (1557*s[4])/8 + 77*s[5] + (221*s[6])/3 + 
       (432715*s[7])/144 - (29767*s[8])/108 - (596519*s[9])/216 - 
       (23939*s[10])/27 - (62347*s[11])/18 - (585109*s[12])/144 - 
       (341737*s[13])/144 - (14309*s[14])/144 - (173741*s[15])/48 - 
       (178063*s[16])/36 - (8839*s[17])/3 - (346417*s[18])/648 - 
       (72197*s[19])/162 - (2040467*s[20])/324 - (2666753*s[21])/1296 + 
       (2282665*s[22])/1296 + (523787*s[23])/144 + (4463947*s[24])/1296 - 
       (51613823*s[25])/11664 + (26128217*s[26])/11664 - s[30] - 12*s[31] - 
       (17*s[32])/2 - (17*s[33])/2 + 27*s[34] + 5*s[35] + 19*s[36] + 
       (161*s[37])/6 + (1355*s[38])/6 - (8123*s[39])/12 + (9875*s[40])/12 - 
       (1383*s[41])/2 + (5669*s[42])/6 + (81101*s[43])/132 - 
       (32369*s[44])/44 + (13217*s[45])/22 - (674471*s[46])/132 + 
       (10511*s[47])/264 + (111029*s[48])/264 - (834071*s[49])/264 + 
       (291751*s[50])/66 + (562579*s[51])/792 + (31267*s[52])/66 - 
       (506549*s[53])/198 - (137081*s[54])/132 - (4531937*s[55])/264 - 
       (3097363*s[56])/792 + (3284311*s[57])/594 - (58941923*s[58])/7128 + 
       (58434917*s[59])/7128 + (74207521*s[60])/1584 - 
       (117724589*s[61])/64152 + (15*s[65])/2 + 12*s[66] - 12*s[67] - 
       12*s[68] - 30*s[69] + 15*s[70] - (15*s[71])/2 - 14*s[72] + 26*s[73] + 
       (9*s[74])/2 - (9*s[75])/2 + 5*s[76] - 8*s[77] - 38*s[78] + 212*s[79] - 
       (125*s[80])/3 + 270*s[82] - 27*s[83] + 66*s[84] + 24*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      (-4*s[2] - (63*s[3])/2 + (683*s[4])/2 + (13671*s[5])/88 + 
       (36143*s[6])/88 + (1133905*s[7])/264 - (940781*s[8])/2376 - 
       (793477*s[9])/216 - (184139*s[10])/216 - (3860407*s[11])/792 - 
       (4442363*s[12])/792 - (687595*s[13])/198 + (49777*s[14])/396 - 
       (91343*s[15])/18 - (5364949*s[16])/792 - (440219*s[17])/99 - 
       (546227*s[18])/648 - (75379*s[19])/162 - (13954615*s[20])/1782 - 
       (19348873*s[21])/7128 + (8228563*s[22])/3564 + (5220419*s[23])/792 + 
       (29614337*s[24])/7128 - (826689329*s[25])/128304 + 
       (419237909*s[26])/128304 - 2*s[27] + 2*s[30] + s[31] - s[32] - 
       2*s[33] - 15*s[34] + 16*s[35] - (103*s[36])/3 + (29*s[37])/12 + 
       246*s[38] - 897*s[39] + (2917*s[40])/3 - 779*s[41] + (3845*s[42])/3 + 
       (2224*s[43])/3 - (4679*s[44])/6 + (19343*s[45])/24 - 
       (156025*s[46])/24 + (24403*s[47])/72 + (1195*s[48])/72 - 
       (245221*s[49])/72 + (15073*s[50])/3 + (66239*s[51])/72 + 
       (13535*s[52])/18 - (242567*s[53])/72 - (245*s[54])/3 - 
       (507377*s[55])/24 - (132191*s[56])/24 + (84713*s[57])/12 - 
       (1125241*s[58])/108 + (2244347*s[59])/216 + (5671651*s[60])/108 - 
       (10342889*s[61])/3888 + (7*s[62])/2 - 2*s[66] + 2*s[67] + 5*s[68] + 
       5*s[69] + 2*s[70] - 2*s[71] + 6*s[72] - 6*s[73] - (17*s[74])/2 + 
       (17*s[75])/2 - 3*s[76] + 4*s[77] + 5*s[78] + 64*s[79] + (23*s[80])/6 - 
       84*s[82] + 3*s[83] + 78*s[84] + 24*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*
      (-14*s[2] - 14*s[3] + (3749*s[4])/12 + (12377*s[5])/132 + 
       (40505*s[6])/132 + (628379*s[7])/198 - (625237*s[8])/1782 - 
       (858481*s[9])/324 - (173891*s[10])/324 - (4247935*s[11])/1188 - 
       (9849847*s[12])/2376 - (6167303*s[13])/2376 + (725101*s[14])/2376 - 
       (204253*s[15])/54 - (11740385*s[16])/2376 - (3805051*s[17])/1188 - 
       (535655*s[18])/972 - (377815*s[19])/972 - (58353235*s[20])/10692 - 
       (36806309*s[21])/21384 + (35911483*s[22])/21384 + 
       (6268949*s[23])/1188 + (32603357*s[24])/10692 - 
       (945233813*s[25])/192456 + (445727621*s[26])/192456 - 2*s[27] + 
       2*s[30] - 3*s[31] + 2*s[32] - (29*s[33])/4 - (22*s[34])/3 + 18*s[35] - 
       (461*s[36])/18 + (277*s[37])/18 + (520*s[38])/3 - (5085*s[39])/8 + 
       (50297*s[40])/72 - (13699*s[41])/24 + (66049*s[42])/72 + 
       (441379*s[43])/792 - (874955*s[44])/1584 + (285161*s[45])/396 - 
       (4219907*s[46])/792 + (1089679*s[47])/4752 + (154789*s[48])/4752 - 
       (11637133*s[49])/4752 + (817027*s[50])/198 + (3224429*s[51])/4752 + 
       (2631245*s[52])/4752 - (6906805*s[53])/2376 + (19907*s[54])/99 - 
       (9675389*s[55])/528 - (2553127*s[56])/528 + (1149946*s[57])/297 - 
       (114888751*s[58])/14256 + (115713109*s[59])/14256 + 
       (1232205055*s[60])/28512 - (11067505*s[61])/4752 + (11*s[62])/3 + 
       2*s[66] - 2*s[67] + 5*s[68] - 3*s[69] + 2*s[70] - 2*s[71] + 2*s[72] - 
       6*s[73] - (11*s[74])/2 + (11*s[75])/2 - 3*s[76] + 4*s[77] - 7*s[78] + 
       56*s[79] + (25*s[80])/9 - 72*s[82] + 3*s[83] + 78*s[84] + 24*s[85]) + 
     HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - w]*((-305*s[2])/24 + 
       (515*s[3])/48 + (15217*s[4])/32 + (41815*s[5])/352 + 
       (292103*s[6])/528 + (100429991*s[7])/19008 - (451421*s[8])/891 - 
       (11370935*s[9])/2592 - (3130351*s[10])/2592 - (112076227*s[11])/
        19008 - (63717235*s[12])/9504 - (77791103*s[13])/19008 - 
       (2998021*s[14])/19008 - (11643187*s[15])/1728 - 
       (20633311*s[16])/2376 - (38698637*s[17])/6336 - (6308005*s[18])/7776 - 
       (6925607*s[19])/7776 - (856119839*s[20])/85536 - 
       (543911737*s[21])/171072 + (474633155*s[22])/171072 + 
       (16030577*s[23])/2376 + (249882299*s[24])/42768 - 
       (12173295385*s[25])/1539648 + (6037710337*s[26])/1539648 - 
       (27*s[30])/4 - (26*s[31])/3 + (17*s[32])/6 - (551*s[33])/48 + 
       (40*s[34])/3 + (29*s[35])/6 + (61*s[36])/36 + (56*s[37])/9 + 
       (5371*s[38])/24 - (12467*s[39])/16 + (136427*s[40])/144 - 
       (18749*s[41])/24 + (78479*s[42])/72 + (1348009*s[43])/1584 - 
       (2664929*s[44])/3168 + (1695101*s[45])/1584 - (998219*s[46])/132 + 
       (970261*s[47])/9504 + (4769155*s[48])/9504 - (34657795*s[49])/9504 + 
       (9346387*s[50])/1584 + (7864133*s[51])/9504 + (6029219*s[52])/9504 - 
       (6403277*s[53])/1584 + (62023*s[54])/528 - (83572721*s[55])/3168 - 
       (65871617*s[56])/9504 + (26390627*s[57])/7128 - 
       (939732217*s[58])/85536 + (949884361*s[59])/85536 + 
       (3668242207*s[60])/57024 - (2576574379*s[61])/769824 + s[62] + 
       s[64]/2 + (17*s[65])/8 + (17*s[66])/3 - (55*s[67])/6 - (25*s[68])/6 - 
       (35*s[69])/3 + (44*s[70])/3 - (145*s[71])/24 - (37*s[72])/6 + 
       (53*s[73])/6 - (37*s[74])/24 + (49*s[75])/24 - s[76]/4 - 
       (205*s[77])/12 - (91*s[78])/6 + (458*s[79])/3 - (188*s[80])/9 - 
       s[81]/12 - 32*s[82] + 82*s[84] + 24*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((107*s[2])/8 - (1453*s[3])/48 + (24415*s[4])/32 + (385705*s[5])/792 + 
       (126131*s[6])/99 + (55826845*s[7])/4752 - (1049023*s[8])/1056 - 
       (1437091*s[9])/144 - (827593*s[10])/288 - (82658149*s[11])/6336 - 
       (91911967*s[12])/6336 - (5256589*s[13])/594 - (71939*s[14])/66 - 
       (2174657*s[15])/144 - (92443895*s[16])/4752 - (272067913*s[17])/
        19008 - (5640865*s[18])/2592 - (4024145*s[19])/2592 - 
       (326469349*s[20])/14256 - (29428313*s[21])/3564 + 
       (59327933*s[22])/9504 + (276254443*s[23])/19008 + 
       (237550595*s[24])/19008 - (8596751387*s[25])/513216 + 
       (4646137487*s[26])/513216 + (11*s[30])/12 + (22*s[31])/3 - 
       (77*s[32])/24 - (43*s[33])/24 - (65*s[34])/4 - (79*s[35])/4 - 
       (1271*s[36])/36 + (10153*s[37])/144 + (11159*s[38])/24 - 
       (14911*s[39])/8 + (149401*s[40])/72 - (77957*s[41])/48 + 
       (388195*s[42])/144 + (140981*s[43])/88 - (5349709*s[44])/3168 + 
       (5168971*s[45])/3168 - (43008745*s[46])/3168 + (1075445*s[47])/1584 + 
       (261973*s[48])/1584 - (11399797*s[49])/1584 + (5460493*s[50])/528 + 
       (1094809*s[51])/594 + (4765235*s[52])/3168 - (22321997*s[53])/3168 + 
       (555323*s[54])/1584 - (17579849*s[55])/396 - (1184632*s[56])/99 + 
       (4441499*s[57])/297 - (623643575*s[58])/28512 + 
       (156563801*s[59])/7128 + (2098239701*s[60])/19008 - 
       (2891491483*s[61])/513216 - (5*s[66])/6 + (5*s[67])/6 + s[68]/6 + 
       (3*s[69])/2 + s[70]/6 - s[71]/24 + (43*s[72])/6 - (11*s[73])/6 - 
       (217*s[74])/24 + (217*s[75])/24 - 8*s[76] + s[77]/12 + (37*s[78])/6 + 
       (1169*s[79])/6 - (3233*s[80])/72 + (269*s[82])/6 + (3*s[83])/4 + 
       76*s[84] + 25*s[85]) + HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w]*
      ((-13*s[2])/8 + (46*s[3])/9 + (28573*s[4])/144 + (22133*s[5])/288 + 
       (91657*s[6])/288 + (2000549*s[7])/648 - (232813*s[8])/864 - 
       (251953*s[9])/96 - (755555*s[10])/864 - (2884043*s[11])/864 - 
       (523199*s[12])/144 - (5509147*s[13])/2592 - (421277*s[14])/864 - 
       (10833157*s[15])/2592 - (13665229*s[16])/2592 - (5305927*s[17])/1296 - 
       (3898775*s[18])/7776 - (473825*s[19])/972 - (24661381*s[20])/3888 - 
       (2050337*s[21])/972 + (4279357*s[22])/2592 + (536891*s[23])/162 + 
       (1482215*s[24])/432 - (597607781*s[25])/139968 + 
       (316449293*s[26])/139968 + (179*s[30])/18 - (17*s[31])/9 + 
       (29*s[32])/6 + (71*s[33])/48 + (44*s[34])/9 + (89*s[35])/12 + 
       (1555*s[36])/216 - (787*s[37])/432 + (577*s[38])/72 - 
       (9965*s[39])/96 + (153689*s[40])/864 - (46141*s[41])/288 + 
       (180367*s[42])/864 + (70433*s[43])/864 - (234577*s[44])/1728 + 
       (93383*s[45])/864 - (213499*s[46])/216 + (331631*s[47])/5184 - 
       (68935*s[48])/5184 - (1600277*s[49])/5184 + (359185*s[50])/432 + 
       (1143949*s[51])/5184 + (564607*s[52])/5184 - (326729*s[53])/648 + 
       (26785*s[54])/432 - (1945481*s[55])/576 - (1901713*s[56])/1728 + 
       (723641*s[57])/432 - (27756289*s[58])/15552 + (25779769*s[59])/15552 + 
       (254992973*s[60])/31104 - (31956259*s[61])/69984 + (11*s[62])/8 + 
       s[64]/2 + s[65]/8 + (5*s[66])/3 - (8*s[67])/3 + (19*s[68])/6 - 
       9*s[69] + (34*s[70])/3 - (25*s[71])/24 - (3*s[72])/2 - (5*s[73])/9 + 
       s[74]/8 + (3*s[75])/8 + (7*s[76])/12 - (235*s[77])/36 - 
       (110*s[78])/9 + (346*s[79])/3 - (7633*s[80])/216 - s[81]/12 + 
       117*s[82] - (5*s[83])/6 + 41*s[84] + (76*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - u]*
      ((17*s[2])/6 + (429*s[3])/16 + (55733*s[4])/96 + (9139*s[5])/24 + 
       (286421*s[6])/288 + (11683343*s[7])/1296 - (1506221*s[8])/1944 - 
       (58980227*s[9])/7776 - (18150655*s[10])/7776 - (25655113*s[11])/2592 - 
       (14070349*s[12])/1296 - (1869001*s[13])/288 - (646183*s[14])/648 - 
       (322003*s[15])/27 - (13122319*s[16])/864 - (30101333*s[17])/2592 - 
       (19789937*s[18])/11664 - (14942599*s[19])/11664 - 
       (415493731*s[20])/23328 - (75014015*s[21])/11664 + 
       (110394467*s[22])/23328 + (351047*s[23])/32 + (113058019*s[24])/
        11664 - (2657481487*s[25])/209952 + (726653735*s[26])/104976 + 
       (13*s[30])/18 + s[31]/3 - (85*s[32])/36 - (215*s[33])/144 - 
       (9*s[34])/4 - (14*s[35])/9 - (185*s[36])/9 + (676*s[37])/27 + 
       (10687*s[38])/36 - (45217*s[39])/36 + (50441*s[40])/36 - 
       (79591*s[41])/72 + (132557*s[42])/72 + (413957*s[43])/396 - 
       (444947*s[44])/396 + (26813*s[45])/22 - (318028*s[46])/33 + 
       (1132999*s[47])/2376 + (20041*s[48])/2376 - (11313277*s[49])/2376 + 
       (5840393*s[50])/792 + (384323*s[51])/297 + (306103*s[52])/297 - 
       (12178033*s[53])/2376 + (64385*s[54])/264 - (76826381*s[55])/2376 - 
       (20630317*s[56])/2376 + (71357635*s[57])/7128 - 
       (330037289*s[58])/21384 + (331994339*s[59])/21384 + 
       (1107071641*s[60])/14256 - (1633031677*s[61])/384912 - s[68]/6 + 
       s[69]/6 - (16*s[70])/9 - (7*s[71])/6 + (43*s[72])/9 - s[73]/9 - 
       (77*s[74])/12 + (77*s[75])/12 - (47*s[76])/18 + (2*s[77])/9 + 
       (25*s[78])/9 + (326*s[79])/3 - (409*s[80])/18 + (301*s[82])/3 + 
       (170*s[84])/3 + 26*s[85]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]^2*((53*s[2])/36 + (2335*s[3])/72 - (263*s[4])/36 + 
       (11027*s[5])/1584 + (43001*s[6])/1584 - (6511133*s[7])/57024 + 
       (12935*s[8])/28512 + (10508*s[9])/81 + (26237*s[10])/648 + 
       (2379703*s[11])/19008 + (1330325*s[12])/9504 + (6458677*s[13])/57024 - 
       (111029*s[14])/19008 + (968063*s[15])/5184 + (2958847*s[16])/14256 + 
       (10109195*s[17])/57024 - (447007*s[18])/3888 + (1080959*s[19])/7776 + 
       (15647831*s[20])/85536 - (2873489*s[21])/57024 - 
       (15708853*s[22])/171072 + (4877011*s[23])/14256 - 
       (6057527*s[24])/21384 + (56482201*s[25])/256608 - 
       (1552015*s[26])/256608 - (185*s[30])/36 - s[31]/18 - (247*s[32])/144 - 
       (113*s[33])/48 + (91*s[34])/36 + 7*s[35] + (337*s[36])/108 - 
       (3527*s[37])/432 + (11155*s[38])/144 - (9567*s[39])/32 + 
       (276289*s[40])/864 - (35941*s[41])/144 + (22739*s[42])/54 + 
       (226561*s[43])/864 - (105767*s[44])/432 + (160379*s[45])/432 - 
       (2178563*s[46])/864 + (309737*s[47])/2592 + (19631*s[48])/648 - 
       (2911733*s[49])/2592 + (1608997*s[50])/864 + (791299*s[51])/2592 + 
       (667555*s[52])/2592 - (3435301*s[53])/2592 + (77983*s[54])/864 - 
       (610627*s[55])/72 - (2072555*s[56])/864 + (805691*s[57])/324 - 
       (3543209*s[58])/864 + (5243371*s[59])/1296 + (309290327*s[60])/15552 - 
       (21801379*s[61])/17496 + s[64]/8 + s[65]/16 + s[66]/12 - (4*s[67])/3 + 
       s[68]/3 - (5*s[69])/2 - (5*s[70])/8 - (49*s[71])/48 + (2*s[72])/3 + 
       (35*s[73])/9 - (7*s[74])/24 + (2*s[75])/3 - (7*s[76])/8 - 
       (121*s[77])/72 + (5*s[78])/9 - (101*s[79])/4 + (3085*s[80])/216 + 
       (79*s[82])/4 - (59*s[83])/48 + (151*s[84])/8 + (83*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - u]*
      ((7*s[2])/3 + (283*s[3])/24 + (2461*s[4])/48 + (6467*s[5])/132 + 
       (74101*s[6])/528 + (10640633*s[7])/9504 - (1062821*s[8])/14256 - 
       (1219501*s[9])/1296 - (490643*s[10])/1296 - (11415419*s[11])/9504 - 
       (11709871*s[12])/9504 - (2335913*s[13])/3168 - (1333753*s[14])/4752 - 
       (476989*s[15])/288 - (200264*s[16])/99 - (2091899*s[17])/1188 - 
       (1195363*s[18])/7776 - (1987121*s[19])/7776 - (202767497*s[20])/
        85536 - (2295592*s[21])/2673 + (12425065*s[22])/21384 + 
       (2385061*s[23])/3168 + (30170497*s[24])/21384 - 
       (286671893*s[25])/192456 + (328572433*s[26])/384912 + (5*s[32])/12 - 
       s[33]/12 + 3*s[34] + (5*s[35])/6 - (79*s[36])/18 + (23*s[37])/24 + 
       (50*s[38])/3 - (1685*s[39])/24 + (6559*s[40])/72 - (1919*s[41])/24 + 
       (3217*s[42])/36 + (53233*s[43])/396 - (178549*s[44])/1584 + 
       (19430*s[45])/99 - (80507*s[46])/66 - (184465*s[47])/4752 + 
       (764879*s[48])/4752 - (5699251*s[49])/9504 + (393511*s[50])/396 + 
       (433121*s[51])/9504 + (111025*s[52])/4752 - (126391*s[53])/176 - 
       (22315*s[54])/176 - (7500041*s[55])/1584 - (10524419*s[56])/9504 - 
       (7821491*s[57])/14256 - (123258739*s[58])/85536 + 
       (135366061*s[59])/85536 + (633106435*s[60])/57024 - 
       (223722989*s[61])/384912 + (5*s[70])/3 + (3*s[74])/4 - (3*s[75])/4 - 
       (5*s[77])/3 + (22*s[79])/3 - (29*s[80])/9 + 123*s[82] + 28*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Omega2[w, u, v]*
      ((31*s[2])/4 + (197*s[3])/8 + (7231*s[4])/16 + (37113*s[5])/88 + 
       (166207*s[6])/176 + (8848901*s[7])/1056 - (3080633*s[8])/4752 - 
       (191899*s[9])/27 - (60956*s[10])/27 - (29030729*s[11])/3168 - 
       (3939557*s[12])/396 - (18705347*s[13])/3168 - (4309517*s[14])/3168 - 
       (3219217*s[15])/288 - (5617105*s[16])/396 - (35133335*s[17])/3168 - 
       (542921*s[18])/324 - (1444081*s[19])/1296 - (242578429*s[20])/14256 - 
       (181249199*s[21])/28512 + (125492551*s[22])/28512 + 
       (3745793*s[23])/396 + (64338535*s[24])/7128 - (1471720879*s[25])/
        128304 + (837313687*s[26])/128304 + s[30]/2 + 2*s[31] - (5*s[32])/2 - 
       s[33] - (7*s[34])/2 - (7*s[35])/2 - (133*s[36])/6 + (253*s[37])/12 + 
       (553*s[38])/2 - (2271*s[39])/2 + (3758*s[40])/3 - (3899*s[41])/4 + 
       (9893*s[42])/6 + (60455*s[43])/66 - (532561*s[44])/528 + 
       (281177*s[45])/264 - (2238655*s[46])/264 + (732119*s[47])/1584 - 
       (24505*s[48])/1584 - (6722813*s[49])/1584 + (212563*s[50])/33 + 
       (1815727*s[51])/1584 + (1479433*s[52])/1584 - (441919*s[53])/99 + 
       (7285*s[54])/33 - (14903345*s[55])/528 - (4027481*s[56])/528 + 
       (7337249*s[57])/792 - (21780455*s[58])/1584 + (21824053*s[59])/1584 + 
       (647599817*s[60])/9504 - (159294079*s[61])/42768 - 2*s[66] + 2*s[67] + 
       s[68] + 3*s[69] - 3*s[70] + 5*s[72] + 5*s[73] - (25*s[74])/4 + 
       (25*s[75])/4 - s[76] + (3*s[77])/2 + 9*s[78] + 80*s[79] - 
       (107*s[80])/6 + 149*s[82] - 3*s[83] + 30*s[84] + 28*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]^2*((13*s[2])/3 + (67*s[3])/12 + 
       (15221*s[4])/48 + (10249*s[5])/44 + (312775*s[6])/528 + 
       (16876253*s[7])/3168 - (83651*s[8])/198 - (40568*s[9])/9 - 
       (205081*s[10])/144 - (6179243*s[11])/1056 - (281461*s[12])/44 - 
       (12160099*s[13])/3168 - (258117*s[14])/352 - (675343*s[15])/96 - 
       (3552257*s[16])/396 - (21848225*s[17])/3168 - (141979*s[18])/144 - 
       (12419*s[19])/16 - (1054523*s[20])/99 - (36557453*s[21])/9504 + 
       (26694035*s[22])/9504 + (595897*s[23])/99 + (27662095*s[24])/4752 - 
       (635484275*s[25])/85536 + (349113329*s[26])/85536 + (5*s[30])/12 + 
       (5*s[31])/6 - (5*s[32])/6 - (109*s[33])/48 - (7*s[34])/12 - 
       (35*s[35])/6 - 13*s[36] + 18*s[37] + 180*s[38] - (17189*s[39])/24 + 
       (19517*s[40])/24 - (15397*s[41])/24 + (8217*s[42])/8 + 
       (170711*s[43])/264 - (121327*s[44])/176 + (25279*s[45])/33 - 
       (519671*s[46])/88 + (331709*s[47])/1584 + (243731*s[48])/1584 - 
       (4652231*s[49])/1584 + (300125*s[50])/66 + (381401*s[51])/528 + 
       (910927*s[52])/1584 - (1238755*s[53])/396 + (2617*s[54])/22 - 
       (31576019*s[55])/1584 - (2817311*s[56])/528 + (165452*s[57])/33 - 
       (43450423*s[58])/4752 + (43665295*s[59])/4752 + 
       (461895557*s[60])/9504 - (55476127*s[61])/21384 + s[70] - s[71]/2 + 
       (5*s[72])/3 - s[73] - (41*s[74])/12 + (41*s[75])/12 - (5*s[76])/3 - 
       s[77]/2 + s[78]/3 + 79*s[79] - 21*s[80] + 94*s[82] + (7*s[83])/4 + 
       (83*s[84])/2 + 28*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      Omega2[w, u, v]*((-3*s[2])/4 + (129*s[3])/8 + (4891*s[4])/16 + 
       (16417*s[5])/88 + (95715*s[6])/176 + (5126729*s[7])/1056 - 
       (1862677*s[8])/4752 - (110369*s[9])/27 - (71915*s[10])/54 - 
       (16803469*s[11])/3168 - (2288179*s[12])/396 - (10952959*s[13])/3168 - 
       (2232193*s[14])/3168 - (1865861*s[15])/288 - (3266279*s[16])/396 - 
       (20293507*s[17])/3168 - (141989*s[18])/162 - (953333*s[19])/1296 - 
       (138933473*s[20])/14256 - (98981899*s[21])/28512 + 
       (72758723*s[22])/28512 + (530854*s[23])/99 + (38185679*s[24])/7128 - 
       (866939591*s[25])/128304 + (474672215*s[26])/128304 + s[30]/2 - 
       2*s[31] - 2*s[32] - s[33]/2 + (9*s[34])/2 - (3*s[35])/2 - 
       (49*s[36])/6 + (185*s[37])/12 + (257*s[38])/2 - (1163*s[39])/2 + 
       (2030*s[40])/3 - (2159*s[41])/4 + (5201*s[42])/6 + (32267*s[43])/66 - 
       (292957*s[44])/528 + (155461*s[45])/264 - (412561*s[46])/88 + 
       (319307*s[47])/1584 + (66395*s[48])/1584 - (3536057*s[49])/1584 + 
       (119563*s[50])/33 + (999907*s[51])/1584 + (782005*s[52])/1584 - 
       (81749*s[53])/33 + (2350*s[54])/11 - (8363309*s[55])/528 - 
       (6915583*s[56])/1584 + (10982723*s[57])/2376 - 
       (106473443*s[58])/14256 + (105956681*s[59])/14256 + 
       (362510549*s[60])/9504 - (268683977*s[61])/128304 + 2*s[66] - 
       2*s[67] + s[68] - 5*s[69] - 3*s[70] + s[72] - s[73] - (13*s[74])/4 + 
       (13*s[75])/4 - s[76] + (5*s[77])/2 - 3*s[78] + 96*s[79] - 
       (175*s[80])/6 + 152*s[82] + 3*s[83] + 42*s[84] + 28*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Omega2[v, w, u]*
      ((71*s[2])/4 - (695*s[3])/24 + (44195*s[4])/48 + (88435*s[5])/132 + 
       (852833*s[6])/528 + (141058823*s[7])/9504 - (5875945*s[8])/4752 - 
       (2727169*s[9])/216 - (792599*s[10])/216 - (5763355*s[11])/352 - 
       (7155025*s[12])/396 - (103903579*s[13])/9504 - (1690421*s[14])/1056 - 
       (16690157*s[15])/864 - (29269373*s[16])/1188 - 
       (175546475*s[17])/9504 - (613807*s[18])/216 - (813425*s[19])/432 - 
       (138608533*s[20])/4752 - (304134857*s[21])/28512 + 
       (224149157*s[22])/28512 + (43722599*s[23])/2376 + 
       (55864045*s[24])/3564 - (670154989*s[25])/32076 + 
       (184060937*s[26])/16038 + (7*s[30])/6 + (32*s[31])/3 - 5*s[32] + 
       (5*s[33])/4 - (145*s[34])/6 - (35*s[35])/2 - (434*s[36])/9 + 
       (1355*s[37])/18 + (3497*s[38])/6 - (18685*s[39])/8 + 
       (186661*s[40])/72 - (48749*s[41])/24 + (243905*s[42])/72 + 
       (1563539*s[43])/792 - (207385*s[44])/99 + (417581*s[45])/198 - 
       (13635493*s[46])/792 + (514885*s[47])/594 + (153163*s[48])/2376 - 
       (5267869*s[49])/594 + (2599811*s[50])/198 + (5540003*s[51])/2376 + 
       (4557161*s[52])/2376 - (10764187*s[53])/1188 + (57781*s[54])/99 - 
       (15079265*s[55])/264 - (1515142*s[56])/99 + (14616367*s[57])/792 - 
       (24651709*s[58])/891 + (199111343*s[59])/7128 + 
       (496379437*s[60])/3564 - (936317489*s[61])/128304 - 2*s[66] + 
       2*s[67] - 2*s[68] + 5*s[69] - 5*s[70] - 2*s[71] + 11*s[72] - s[73]/3 - 
       (47*s[74])/4 + (47*s[75])/4 - 11*s[76] - (7*s[77])/6 + (41*s[78])/3 + 
       218*s[79] - (343*s[80])/9 - 32*s[82] - 2*s[83] + 84*s[84] + 
       28*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((17*s[2])/2 + (23*s[3])/4 + (4401*s[4])/8 + 
       (18397*s[5])/44 + (83439*s[6])/88 + (4990615*s[7])/528 - 
       (198433*s[8])/264 - (48101*s[9])/6 - (31319*s[10])/12 - 
       (1815709*s[11])/176 - (992051*s[12])/88 - (3447875*s[13])/528 - 
       (238207*s[14])/176 - (597041*s[15])/48 - (2102987*s[16])/132 - 
       (6488065*s[17])/528 - (67819*s[18])/36 - (95323*s[19])/72 - 
       (15190237*s[20])/792 - (1198553*s[21])/176 + (7898141*s[22])/1584 + 
       (2919995*s[23])/264 + (8030491*s[24])/792 - (15467825*s[25])/1188 + 
       (8428601*s[26])/1188 - s[30] - 9*s[33] + 6*s[34] - 11*s[35] + 
       12*s[36] + (11*s[37])/3 + 287*s[38] - (2569*s[39])/2 + 
       (3021*s[40])/2 - (2463*s[41])/2 + (3797*s[42])/2 + (23983*s[43])/22 - 
       (116089*s[44])/88 + (194123*s[45])/132 - (1484759*s[46])/132 + 
       (32839*s[47])/88 + (25051*s[48])/88 - (471637*s[49])/88 + 
       (98299*s[50])/11 + (380989*s[51])/264 + (89931*s[52])/88 - 
       (605263*s[53])/99 + (1409*s[54])/66 - (3419715*s[55])/88 - 
       (7977859*s[56])/792 + (9272273*s[57])/1188 - (119970227*s[58])/7128 + 
       (119753957*s[59])/7128 + (147156719*s[60])/1584 - 
       (326954075*s[61])/64152 - 2*s[68] + 4*s[69] + 6*s[70] - 2*s[72] + 
       2*s[73] - (21*s[74])/2 + (17*s[75])/2 + 9*s[76] - 9*s[77] - 6*s[78] + 
       184*s[79] - (251*s[80])/3 + 146*s[82] + (9*s[83])/2 + 87*s[84] + 
       28*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*((-9*s[2])/2 + (239*s[3])/4 + (5419*s[4])/8 + 
       (5062*s[5])/11 + (104887*s[6])/88 + (1921849*s[7])/176 - 
       (2027593*s[8])/2376 - (246982*s[9])/27 - (85550*s[10])/27 - 
       (18792109*s[11])/1584 - (10117201*s[12])/792 - (11822077*s[13])/1584 - 
       (2791831*s[14])/1584 - (2151815*s[15])/144 - (3715049*s[16])/198 - 
       (23756179*s[17])/1584 - (633341*s[18])/324 - (1216547*s[19])/648 - 
       (158528957*s[20])/7128 - (112216453*s[21])/14256 + 
       (81340349*s[22])/14256 + (8992243*s[23])/792 + (87678661*s[24])/7128 - 
       (120356773*s[25])/8019 + (65796235*s[26])/8019 + 2*s[30] - 10*s[31] + 
       2*s[32] - (27*s[33])/4 + 24*s[34] - 11*s[35] + 12*s[36] + 
       (11*s[37])/3 + 287*s[38] - (2569*s[39])/2 + (3021*s[40])/2 - 
       (2463*s[41])/2 + (3797*s[42])/2 + (23983*s[43])/22 - 
       (116089*s[44])/88 + (194123*s[45])/132 - (1484759*s[46])/132 + 
       (32839*s[47])/88 + (25051*s[48])/88 - (471637*s[49])/88 + 
       (98299*s[50])/11 + (380989*s[51])/264 + (89931*s[52])/88 - 
       (605263*s[53])/99 + (1409*s[54])/66 - (3419715*s[55])/88 - 
       (7977859*s[56])/792 + (9272273*s[57])/1188 - (119970227*s[58])/7128 + 
       (119753957*s[59])/7128 + (147156719*s[60])/1584 - 
       (326954075*s[61])/64152 - 2*s[68] + 4*s[69] + 6*s[70] - 2*s[72] + 
       2*s[73] - (21*s[74])/2 + (17*s[75])/2 + 9*s[76] - 9*s[77] - 6*s[78] + 
       184*s[79] - (251*s[80])/3 + 146*s[82] + (9*s[83])/2 + 87*s[84] + 
       28*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*((239*s[2])/12 + (521*s[3])/18 - (2347*s[4])/24 + 
       (41947*s[5])/792 + (4238*s[6])/33 + (3459641*s[7])/9504 + 
       (5993297*s[8])/42768 - (1276097*s[9])/3888 - (2126497*s[10])/3888 - 
       (6182839*s[11])/28512 + (1981823*s[12])/14256 + 
       (4303787*s[13])/28512 - (31443169*s[14])/28512 - 
       (2196881*s[15])/2592 - (13723781*s[16])/14256 - 
       (46664209*s[17])/28512 - (2181811*s[18])/11664 - (236747*s[19])/2916 - 
       (112087141*s[20])/64152 - (232952119*s[21])/256608 + 
       (41703971*s[22])/256608 - (28476329*s[23])/14256 + 
       (95571841*s[24])/128304 + (138618935*s[25])/577368 + 
       (96879749*s[26])/288684 + 13*s[29] - (29*s[30])/9 + (7*s[31])/3 + 
       (89*s[32])/36 + (319*s[33])/72 + (113*s[34])/9 + (401*s[35])/18 + 
       (265*s[36])/9 - (6013*s[37])/108 - (425*s[38])/18 + (6245*s[39])/24 - 
       (16895*s[40])/72 + (10547*s[41])/72 - (30085*s[42])/72 - 
       (91127*s[43])/792 + (562315*s[44])/3168 + (354769*s[45])/2376 + 
       (260131*s[46])/1188 - (1482361*s[47])/9504 + (3132623*s[48])/9504 + 
       (5614843*s[49])/9504 - (17645*s[50])/132 - (662755*s[51])/3168 - 
       (1561127*s[52])/9504 + (2439455*s[53])/14256 - (185543*s[54])/1188 - 
       (937975*s[55])/9504 - (9450277*s[56])/28512 - (129760465*s[57])/
        42768 + (214671427*s[58])/256608 - (296957005*s[59])/256608 + 
       (29444695*s[60])/57024 - (626232335*s[61])/2309472 + (11*s[62])/3 + 
       2*s[65] + 2*s[66] - (8*s[67])/3 - (13*s[68])/3 + s[69]/3 + 
       (73*s[70])/3 - (67*s[71])/12 - 5*s[72] - (13*s[73])/6 + 
       (119*s[74])/36 - (131*s[75])/36 + (22*s[76])/3 - (427*s[77])/18 - 
       (323*s[78])/18 + (98*s[79])/9 + (127*s[80])/27 - s[81]/6 - 
       (226*s[82])/3 - (67*s[83])/4 + (33*s[84])/2 + (88*s[85])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*
      (6*s[2] + (755*s[3])/24 + (527*s[4])/48 + (1640*s[5])/33 + 
       (55797*s[6])/352 + (810281*s[7])/792 - (1278929*s[8])/28512 - 
       (2120473*s[9])/2592 - (643963*s[10])/1296 - (19491077*s[11])/19008 - 
       (17534299*s[12])/19008 - (4812085*s[13])/9504 - (2617625*s[14])/4752 - 
       (82793*s[15])/48 - (1202623*s[16])/594 - (39866951*s[17])/19008 - 
       (996353*s[18])/7776 - (2545855*s[19])/7776 - (207973279*s[20])/85536 - 
       (75567247*s[21])/85536 + (42886967*s[22])/85536 - 
       (4543907*s[23])/19008 + (258399421*s[24])/171072 - 
       (1804289093*s[25])/1539648 + (1151250695*s[26])/1539648 - 
       (2*s[30])/3 - s[31] - s[32]/3 - (13*s[33])/12 + (32*s[34])/3 + 
       (22*s[35])/3 + 7*s[36] - (319*s[37])/36 - (2551*s[38])/72 + 
       (6407*s[39])/72 - (5543*s[40])/72 + (1435*s[41])/24 - 
       (4457*s[42])/36 - (14129*s[43])/792 + (15827*s[44])/528 + 
       (22063*s[45])/264 - (23150*s[46])/99 - (277291*s[47])/3168 + 
       (443033*s[48])/3168 + (248323*s[49])/3168 + (351551*s[50])/1584 - 
       (898835*s[51])/9504 - (151651*s[52])/1584 - (70486*s[53])/297 + 
       (11851*s[54])/396 - (5323201*s[55])/3168 - (3721369*s[56])/9504 - 
       (1810804*s[57])/891 + (19867549*s[58])/85536 - 
       (14284975*s[59])/85536 + (50579335*s[60])/19008 - 
       (23813083*s[61])/96228 - s[68]/2 + s[69]/2 - (3*s[70])/2 + s[71] + 
       (17*s[74])/12 - (17*s[75])/12 + s[76] + (5*s[77])/6 - s[78]/3 + 
       (8*s[79])/3 - (271*s[80])/18 + 184*s[82] + 30*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 0, 1}, 1 - w]*((13*s[2])/4 - 8*s[3] - 
       (2071*s[4])/8 + (404*s[5])/11 - (4847*s[6])/44 - (354569*s[7])/198 + 
       (25781*s[8])/99 + (25343*s[9])/18 + (16963*s[10])/72 + 
       (140095*s[11])/66 + (1405157*s[12])/528 + (2766983*s[13])/1584 - 
       (339241*s[14])/528 + (17941*s[15])/9 + (4260143*s[16])/1584 + 
       (1060793*s[17])/792 + (4757*s[18])/54 + (13112*s[19])/27 + 
       (3169079*s[20])/1188 + (848699*s[21])/1584 - (4469807*s[22])/4752 - 
       (2343929*s[23])/792 - (9381365*s[24])/4752 + (45647461*s[25])/14256 - 
       (17320645*s[26])/14256 - (19*s[30])/2 + s[33]/2 + 3*s[34] + 
       (45*s[35])/4 + (191*s[36])/12 - (1805*s[37])/48 - (999*s[38])/8 + 
       (6501*s[39])/16 - (21551*s[40])/48 + 327*s[41] - (13547*s[42])/24 - 
       (178033*s[43])/528 + (387011*s[44])/1056 - (275677*s[45])/1056 + 
       (824795*s[46])/352 - (508471*s[47])/3168 + (175355*s[48])/3168 + 
       (4768345*s[49])/3168 - (235069*s[50])/132 - (1221611*s[51])/3168 - 
       (1076861*s[52])/3168 + (405187*s[53])/352 - (5823*s[54])/176 + 
       (2565465*s[55])/352 + (5170841*s[56])/3168 - (14428111*s[57])/4752 + 
       (13722989*s[58])/3564 - (112715473*s[59])/28512 - 
       (185334599*s[60])/9504 + (369277565*s[61])/513216 - (3*s[62])/8 - 
       s[67] + (5*s[71])/8 - s[72] + s[73] + 3*s[74] - 3*s[75] + s[77]/2 - 
       s[78] - 54*s[79] + (235*s[80])/24 + (309*s[82])/2 - 12*s[84] + 
       30*s[85]) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((3*s[2])/4 + (55*s[3])/2 - (577*s[4])/8 - (61759*s[5])/352 - 
       (66387*s[6])/352 - (7258487*s[7])/3168 + (895121*s[8])/9504 + 
       (1810345*s[9])/864 + (535073*s[10])/864 + (3966827*s[11])/1584 + 
       (8424851*s[12])/3168 + (5127437*s[13])/3168 + (1614073*s[14])/3168 + 
       (445229*s[15])/144 + (5925727*s[16])/1584 + (3150073*s[17])/1056 + 
       (1115711*s[18])/2592 + (412505*s[19])/1296 + (8645431*s[20])/1782 + 
       (26969879*s[21])/14256 - (35758757*s[22])/28512 - 
       (3373643*s[23])/1584 - (17734157*s[24])/7128 + 
       (1557459047*s[25])/513216 - (930384659*s[26])/513216 + s[27] - s[31] + 
       s[32]/2 + (117*s[33])/16 + (19*s[34])/4 + (45*s[35])/4 + 
       (191*s[36])/12 - (1805*s[37])/48 - (999*s[38])/8 + (6501*s[39])/16 - 
       (21551*s[40])/48 + 327*s[41] - (13547*s[42])/24 - (178033*s[43])/528 + 
       (387011*s[44])/1056 - (275677*s[45])/1056 + (824795*s[46])/352 - 
       (508471*s[47])/3168 + (175355*s[48])/3168 + (4768345*s[49])/3168 - 
       (235069*s[50])/132 - (1221611*s[51])/3168 - (1076861*s[52])/3168 + 
       (405187*s[53])/352 - (5823*s[54])/176 + (2565465*s[55])/352 + 
       (5170841*s[56])/3168 - (14428111*s[57])/4752 + (13722989*s[58])/3564 - 
       (112715473*s[59])/28512 - (185334599*s[60])/9504 + 
       (369277565*s[61])/513216 - (3*s[62])/8 - s[67] + (5*s[71])/8 - s[72] + 
       s[73] + 3*s[74] - 3*s[75] + s[77]/2 - s[78] - 54*s[79] + 
       (235*s[80])/24 + (309*s[82])/2 - 12*s[84] + 30*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      ((3*s[2])/2 + (233*s[3])/16 - (9109*s[4])/32 - (21917*s[5])/176 - 
       (109157*s[6])/352 - (21529627*s[7])/6336 + (3331771*s[8])/9504 + 
       (619445*s[9])/216 + (39109*s[10])/54 + (23905927*s[11])/6336 + 
       (6768977*s[12])/1584 + (5496515*s[13])/2112 - (157865*s[14])/6336 + 
       (853943*s[15])/192 + (1966559*s[16])/352 + (25077473*s[17])/6336 + 
       (369883*s[18])/648 + (1270799*s[19])/2592 + (181184297*s[20])/28512 + 
       (124514857*s[21])/57024 - (102756977*s[22])/57024 - 
       (5276129*s[23])/1056 - (100715293*s[24])/28512 + 
       (1287499049*s[25])/256608 - (660862439*s[26])/256608 - 3*s[30] - 
       s[31] + s[32]/2 - s[33]/8 + 5*s[34] + (19*s[35])/2 + (467*s[36])/24 - 
       (1087*s[37])/24 - (1381*s[38])/8 + (20765*s[39])/32 - 
       (68099*s[40])/96 + (17439*s[41])/32 - (90481*s[42])/96 - 
       (529033*s[43])/1056 + (1127015*s[44])/2112 - (57161*s[45])/132 + 
       (4203191*s[46])/1056 - (1845853*s[47])/6336 + (928457*s[48])/6336 + 
       (14335183*s[49])/6336 - (100388*s[50])/33 - (4031459*s[51])/6336 - 
       (3506357*s[52])/6336 + (6653569*s[53])/3168 - (78455*s[54])/528 + 
       (27549925*s[55])/2112 + (6932023*s[56])/2112 - (2109155*s[57])/396 + 
       (41813839*s[58])/6336 - (43309073*s[59])/6336 - 
       (1217223721*s[60])/38016 + (252278375*s[61])/171072 - s[67] + 
       (5*s[71])/8 - 2*s[72] + 2*s[73] + (15*s[74])/4 - (15*s[75])/4 + 
       s[76] + s[77] - 2*s[78] - 83*s[79] + (97*s[80])/6 + (321*s[82])/2 - 
       12*s[84] + 30*s[85]) + HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((3*s[2])/2 + (181*s[3])/8 - (4213*s[4])/16 - (27597*s[5])/176 - 
       (29891*s[6])/88 - (3861017*s[7])/1056 + (766175*s[8])/2376 + 
       (675529*s[9])/216 + (360013*s[10])/432 + (12821239*s[11])/3168 + 
       (891509*s[12])/198 + (8771269*s[13])/3168 + (521491*s[14])/3168 + 
       (1390307*s[15])/288 + (9507461*s[16])/1584 + (14003479*s[17])/3168 + 
       (749965*s[18])/1296 + (741473*s[19])/1296 + (99422141*s[20])/14256 + 
       (70101151*s[21])/28512 - (55581413*s[22])/28512 - 
       (7437271*s[23])/1584 - (3505129*s[24])/891 + (1357121605*s[25])/
        256608 - (714374113*s[26])/256608 - s[30]/2 - s[31] + s[32]/2 + 
       (31*s[33])/16 + (35*s[34])/4 + (19*s[35])/2 + (467*s[36])/24 - 
       (1087*s[37])/24 - (1381*s[38])/8 + (20765*s[39])/32 - 
       (68099*s[40])/96 + (17439*s[41])/32 - (90481*s[42])/96 - 
       (529033*s[43])/1056 + (1127015*s[44])/2112 - (57161*s[45])/132 + 
       (4203191*s[46])/1056 - (1845853*s[47])/6336 + (928457*s[48])/6336 + 
       (14335183*s[49])/6336 - (100388*s[50])/33 - (4031459*s[51])/6336 - 
       (3506357*s[52])/6336 + (6653569*s[53])/3168 - (78455*s[54])/528 + 
       (27549925*s[55])/2112 + (6932023*s[56])/2112 - (2109155*s[57])/396 + 
       (41813839*s[58])/6336 - (43309073*s[59])/6336 - 
       (1217223721*s[60])/38016 + (252278375*s[61])/171072 - s[67] + 
       (5*s[71])/8 - 2*s[72] + 2*s[73] + (15*s[74])/4 - (15*s[75])/4 + 
       s[76] + s[77] - 2*s[78] - 83*s[79] + (97*s[80])/6 + (321*s[82])/2 - 
       12*s[84] + 30*s[85]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u]*((59*s[2])/8 + (543*s[3])/16 - (16865*s[4])/96 + 
       (192773*s[5])/1056 + (66631*s[6])/528 + (6885349*s[7])/9504 + 
       (4409729*s[8])/28512 - (233455*s[9])/324 - (805745*s[10])/1296 - 
       (5154821*s[11])/9504 - (184861*s[12])/2376 + (1392539*s[13])/9504 - 
       (818903*s[14])/594 - (728995*s[15])/432 - (7997339*s[16])/4752 - 
       (326563*s[17])/132 - (2364697*s[18])/7776 - (112327*s[19])/972 - 
       (244976363*s[20])/85536 - (125940677*s[21])/85536 + 
       (30415741*s[22])/85536 - (16543477*s[23])/9504 + 
       (24459967*s[24])/21384 - (86744365*s[25])/1539648 + 
       (1057755283*s[26])/1539648 - (19*s[30])/12 - (4*s[31])/3 - 
       (13*s[32])/4 - (29*s[33])/16 + (15*s[34])/2 + (87*s[35])/4 - 
       (53*s[36])/36 - (611*s[37])/18 - (677*s[38])/12 + (6431*s[39])/24 - 
       (20363*s[40])/72 + 215*s[41] - (30187*s[42])/72 - (78763*s[43])/792 + 
       (457639*s[44])/3168 + (123529*s[45])/792 + (19507*s[46])/132 - 
       (2058167*s[47])/9504 + (2452141*s[48])/9504 + (4188473*s[49])/9504 - 
       (27437*s[50])/396 - (2903839*s[51])/9504 - (2310667*s[52])/9504 - 
       (178363*s[53])/1584 - (4317*s[54])/22 - (1524053*s[55])/1056 - 
       (1168589*s[56])/9504 - (67005341*s[57])/14256 + 
       (116443097*s[58])/85536 - (96977897*s[59])/85536 + 
       (20566309*s[60])/57024 - (92861291*s[61])/384912 + s[62]/4 - 
       (5*s[66])/6 + (5*s[67])/6 - s[68]/6 + (11*s[69])/6 - (10*s[70])/3 - 
       (17*s[71])/12 - (3*s[72])/2 + (41*s[73])/6 + (19*s[74])/24 - 
       (19*s[75])/24 + (13*s[76])/3 + (59*s[77])/12 + s[78]/6 - 
       (205*s[79])/3 + (557*s[80])/18 + 227*s[82] + (5*s[83])/2 + 5*s[84] + 
       30*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*((173*s[2])/36 - (299*s[3])/8 + (25511*s[4])/48 + 
       (13705*s[5])/44 + (308267*s[6])/396 + (227791481*s[7])/28512 - 
       (7301387*s[8])/10692 - (26463181*s[9])/3888 - (3936625*s[10])/1944 - 
       (62830205*s[11])/7128 - (278798779*s[12])/28512 - 
       (55322669*s[13])/9504 - (20745911*s[14])/28512 - (9020153*s[15])/864 - 
       (31662421*s[16])/2376 - (70237843*s[17])/7128 - 
       (17304311*s[18])/11664 - (3129139*s[19])/2916 - 
       (126523162*s[20])/8019 - (1433016347*s[21])/256608 + 
       (1095546343*s[22])/256608 + (95822491*s[23])/9504 + 
       (2177616313*s[24])/256608 - (26112728087*s[25])/2309472 + 
       (14011902017*s[26])/2309472 - (8*s[30])/9 + (11*s[31])/3 - 
       (25*s[32])/6 + (59*s[33])/24 - (88*s[34])/9 - (125*s[35])/18 - 
       (556*s[36])/27 + (184*s[37])/27 + (854*s[38])/3 - (86681*s[39])/72 + 
       (298763*s[40])/216 - (80213*s[41])/72 + (382417*s[42])/216 + 
       (2402149*s[43])/2376 - (698635*s[44])/594 + (1277797*s[45])/1188 - 
       (2402029*s[46])/264 + (5407351*s[47])/14256 + (2224171*s[48])/14256 - 
       (67729465*s[49])/14256 + (16961245*s[50])/2376 + 
       (18044405*s[51])/14256 + (6845941*s[52])/7128 - (1421245*s[53])/297 + 
       (850*s[54])/11 - (48038693*s[55])/1584 - (114877967*s[56])/14256 + 
       (200326561*s[57])/21384 - (1855999897*s[58])/128304 + 
       (1865765185*s[59])/128304 + (6393641179*s[60])/85536 - 
       (4431809125*s[61])/1154736 + s[62]/2 + s[67]/3 - 3*s[68] + 4*s[69] - 
       2*s[70] - (5*s[71])/6 + (13*s[72])/3 - 3*s[73] - (317*s[74])/36 + 
       (317*s[75])/36 + (14*s[76])/3 - (7*s[77])/2 - (4*s[78])/3 + 
       (1658*s[79])/9 - (1378*s[80])/27 + (865*s[82])/6 + 5*s[83] + 
       80*s[84] + (92*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - u]*((8*s[2])/3 + (17*s[3])/2 + (3*s[4])/4 + 
       (2203*s[5])/33 + (8361*s[6])/88 + (68527*s[7])/66 - 
       (73687*s[8])/2376 - (196139*s[9])/216 - (47699*s[10])/108 - 
       (1726651*s[11])/1584 - (1674965*s[12])/1584 - (472811*s[13])/792 - 
       (181519*s[14])/396 - (56405*s[15])/36 - (376853*s[16])/198 - 
       (2830441*s[17])/1584 - (91879*s[18])/648 - (179249*s[19])/648 - 
       (17412221*s[20])/7128 - (6267461*s[21])/7128 + (3923101*s[22])/7128 + 
       (78371*s[23])/1584 + (20023403*s[24])/14256 - (161432035*s[25])/
        128304 + (96787969*s[26])/128304 + s[32] + (5*s[33])/3 + 
       (4*s[34])/3 - (4*s[35])/3 + (2*s[36])/9 - (77*s[37])/9 + 
       (31*s[38])/3 - (51*s[39])/2 + (779*s[40])/18 - (251*s[41])/6 + 
       (217*s[42])/18 + (21217*s[43])/198 - (20107*s[44])/198 + 
       (19114*s[45])/99 - (70919*s[46])/66 - (167527*s[47])/2376 + 
       (511745*s[48])/2376 - (1328765*s[49])/2376 + (374729*s[50])/396 + 
       (24487*s[51])/2376 - (17471*s[52])/594 - (42967*s[53])/66 - 
       (7819*s[54])/33 - (384975*s[55])/88 - (2041159*s[56])/2376 - 
       (1409224*s[57])/891 - (19892513*s[58])/21384 + 
       (22400723*s[59])/21384 + (153295391*s[60])/14256 - 
       (47958673*s[61])/96228 + 4*s[70] + s[74]/3 - s[75]/3 - 4*s[77] + 
       (8*s[79])/3 - (4*s[80])/9 + 194*s[82] + 32*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      (-4*s[2] + (563*s[3])/4 - (3255*s[4])/8 - (20131*s[5])/44 - 
       (60239*s[6])/88 - (11765857*s[7])/1584 + (494855*s[8])/792 + 
       (58457*s[9])/9 + (66067*s[10])/36 + (1369765*s[11])/176 + 
       (269983*s[12])/33 + (7330751*s[13])/1584 + (218665*s[14])/176 + 
       (1514959*s[15])/144 + (9887497*s[16])/792 + (16181731*s[17])/1584 + 
       (9797*s[18])/6 + (41507*s[19])/72 + (4005539*s[20])/264 + 
       (27357037*s[21])/4752 - (18927481*s[22])/4752 - (8349335*s[23])/792 - 
       (16944743*s[24])/2376 + (206351951*s[25])/21384 - 
       (119740991*s[26])/21384 + 4*s[30] - 4*s[31] + 23*s[32] + 
       (23*s[33])/4 + 15*s[34] + 14*s[35] + (88*s[36])/3 + (149*s[37])/6 - 
       234*s[38] + (2369*s[39])/2 - (7643*s[40])/6 + 1125*s[41] - 
       (5531*s[42])/3 - (65101*s[43])/66 + (69109*s[44])/66 - 
       (155927*s[45])/132 + (1274167*s[46])/132 - (83537*s[47])/198 + 
       (6824*s[48])/99 + (430693*s[49])/99 - (254873*s[50])/33 - 
       (123074*s[51])/99 - (82571*s[52])/99 + (2286587*s[53])/396 - 
       (21751*s[54])/66 + (4693855*s[55])/132 + (198237*s[56])/22 - 
       (2533207*s[57])/396 + (8506037*s[58])/594 - (18222379*s[59])/1188 - 
       (181486495*s[60])/2376 + (29872937*s[61])/7128 + 6*s[62] - s[64] + 
       10*s[66] - 8*s[67] + 24*s[68] - 32*s[69] + 40*s[70] + 8*s[71] - 
       20*s[72] - 12*s[73] + (27*s[74])/2 - 20*s[75] - 6*s[76] - 20*s[77] - 
       24*s[78] - 86*s[79] - (109*s[80])/3 - s[81]/6 + 388*s[82] - 
       (45*s[83])/2 - 117*s[84] + 32*s[85]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*((133*s[2])/4 + 
       (351*s[3])/8 + (9327*s[4])/16 + (21003*s[5])/44 + (215701*s[6])/176 + 
       (32297825*s[7])/3168 - (1253885*s[8])/1584 - (77416*s[9])/9 - 
       (190495*s[10])/72 - (11992873*s[11])/1056 - (3307723*s[12])/264 - 
       (24136621*s[13])/3168 - (1394605*s[14])/1056 - (3756983*s[15])/288 - 
       (13554007*s[16])/792 - (40857461*s[17])/3168 - (223885*s[18])/108 - 
       (557741*s[19])/432 - (95951993*s[20])/4752 - (24071417*s[21])/3168 + 
       (50947135*s[22])/9504 + (9699281*s[23])/792 + (12831119*s[24])/1188 - 
       (68040191*s[25])/4752 + (38170247*s[26])/4752 - 5*s[30] + 13*s[31] + 
       s[32] + (41*s[33])/8 - 21*s[34] - (15*s[35])/2 - (227*s[36])/6 + 
       (341*s[37])/12 + 385*s[38] - (6327*s[39])/4 + (20743*s[40])/12 - 
       (5287*s[41])/4 + (6875*s[42])/3 + (161075*s[43])/132 - 
       (726521*s[44])/528 + (323449*s[45])/264 - (2783945*s[46])/264 + 
       (1103143*s[47])/1584 - (176069*s[48])/1584 - (9137581*s[49])/1584 + 
       (1042265*s[50])/132 + (2513015*s[51])/1584 + (2099813*s[52])/1584 - 
       (525443*s[53])/99 + (26003*s[54])/132 - (17436017*s[55])/528 - 
       (4795289*s[56])/528 + (3883357*s[57])/264 - (84684269*s[58])/4752 + 
       (83694551*s[59])/4752 + (793845529*s[60])/9504 - 
       (191694889*s[61])/42768 - (5*s[65])/2 - 6*s[66] + 11*s[67] + 6*s[68] + 
       18*s[69] + 6*s[70] + (5*s[71])/2 + 11*s[72] - 13*s[73] - 
       (45*s[74])/4 + (45*s[75])/4 - 10*s[76] - (19*s[77])/2 + 23*s[78] + 
       70*s[79] - (169*s[80])/6 - 26*s[82] + (9*s[83])/2 + 27*s[84] + 
       32*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*((-33*s[2])/4 + (479*s[3])/8 + (11645*s[4])/16 + 
       (22661*s[5])/88 + (159833*s[6])/176 + (8963047*s[7])/1056 - 
       (1437665*s[8])/1584 - (251347*s[9])/36 - (16172*s[10])/9 - 
       (10180217*s[11])/1056 - (367823*s[12])/33 - (7137115*s[13])/1056 + 
       (160579*s[14])/1056 - (1003049*s[15])/96 - (459449*s[16])/33 - 
       (3331309*s[17])/352 - (162269*s[18])/108 - (540361*s[19])/432 - 
       (74592553*s[20])/4752 - (50519759*s[21])/9504 + 
       (42128791*s[22])/9504 + (1656715*s[23])/132 + (21016711*s[24])/2376 - 
       (549472135*s[25])/42768 + (277704643*s[26])/42768 + s[28]/2 - 
       10*s[29] + (17*s[30])/2 - 3*s[31] + (9*s[32])/2 + (27*s[33])/4 - 
       (3*s[34])/2 - (15*s[35])/2 - (227*s[36])/6 + (341*s[37])/12 + 
       385*s[38] - (6327*s[39])/4 + (20743*s[40])/12 - (5287*s[41])/4 + 
       (6875*s[42])/3 + (161075*s[43])/132 - (726521*s[44])/528 + 
       (323449*s[45])/264 - (2783945*s[46])/264 + (1103143*s[47])/1584 - 
       (176069*s[48])/1584 - (9137581*s[49])/1584 + (1042265*s[50])/132 + 
       (2513015*s[51])/1584 + (2099813*s[52])/1584 - (525443*s[53])/99 + 
       (26003*s[54])/132 - (17436017*s[55])/528 - (4795289*s[56])/528 + 
       (3883357*s[57])/264 - (84684269*s[58])/4752 + (83694551*s[59])/4752 + 
       (793845529*s[60])/9504 - (191694889*s[61])/42768 - (5*s[65])/2 - 
       6*s[66] + 11*s[67] + 6*s[68] + 18*s[69] + 6*s[70] + (5*s[71])/2 + 
       11*s[72] - 13*s[73] - (45*s[74])/4 + (45*s[75])/4 - 10*s[76] - 
       (19*s[77])/2 + 23*s[78] + 70*s[79] - (169*s[80])/6 - 26*s[82] + 
       (9*s[83])/2 + 27*s[84] + 32*s[85]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((97*s[2])/3 + (260*s[3])/3 + (18209*s[4])/12 + (50405*s[5])/44 + 
       (55863*s[6])/22 + (28401745*s[7])/1188 - (2001974*s[8])/891 - 
       (1619242*s[9])/81 - (1872395*s[10])/324 - (15671981*s[11])/594 - 
       (8710301*s[12])/297 - (3468587*s[13])/198 - (2095045*s[14])/1188 - 
       (1125853*s[15])/36 - (3954089*s[16])/99 - (8893982*s[17])/297 - 
       (1092392*s[18])/243 - (817729*s[19])/243 - (247373057*s[20])/5346 - 
       (44247592*s[21])/2673 + (133237823*s[22])/10692 + 
       (12455951*s[23])/396 + (269161667*s[24])/10692 - 
       (822892021*s[25])/24057 + (881947985*s[26])/48114 - 3*s[28] - 
       12*s[29] + 9*s[30] + 12*s[31] + 13*s[32] + (63*s[33])/4 - 29*s[34] - 
       13*s[35] - (710*s[36])/9 + (1345*s[37])/9 + 948*s[38] - 
       (11788*s[39])/3 + (37598*s[40])/9 - (9296*s[41])/3 + (50878*s[42])/9 + 
       (303646*s[43])/99 - (1336273*s[44])/396 + (342526*s[45])/99 - 
       (2768804*s[46])/99 + (1920575*s[47])/1188 - (435889*s[48])/1188 - 
       (17053577*s[49])/1188 + (2092171*s[50])/99 + (4385083*s[51])/1188 + 
       (3704713*s[52])/1188 - (8888411*s[53])/594 + (109009*s[54])/99 - 
       (4107117*s[55])/44 - (9832717*s[56])/396 + (2962858*s[57])/99 - 
       (160098355*s[58])/3564 + (162378475*s[59])/3564 + 
       (1586227031*s[60])/7128 - (196225387*s[61])/16038 + 16*s[63] - 
       (13*s[65])/3 - 12*s[66] + 20*s[67] + 14*s[68] + 26*s[69] - 
       (244*s[70])/3 + (25*s[71])/3 + 28*s[72] + 4*s[73] - 22*s[74] + 
       19*s[75] - (106*s[76])/3 + (304*s[77])/3 + 52*s[78] + (364*s[79])/3 - 
       (472*s[80])/9 + 224*s[82] + 12*s[83] + 36*s[84] + 32*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((112*s[2])/3 + (608*s[3])/3 + (18559*s[4])/12 + (180497*s[5])/132 + 
       (65873*s[6])/22 + (15572963*s[7])/594 - (1955521*s[8])/891 - 
       (1778135*s[9])/81 - (2185549*s[10])/324 - (34147895*s[11])/1188 - 
       (9311638*s[12])/297 - (22163521*s[13])/1188 - (1906111*s[14])/594 - 
       (949964*s[15])/27 - (26362235*s[16])/594 - (13719223*s[17])/396 - 
       (2449685*s[18])/486 - (1845877*s[19])/486 - (138774167*s[20])/2673 - 
       (205427117*s[21])/10692 + (36337489*s[22])/2673 + 
       (37981565*s[23])/1188 + (300049711*s[24])/10692 - 
       (3520561541*s[25])/96228 + (1957774127*s[26])/96228 - (22*s[28])/3 - 
       8*s[29] + 3*s[30] + (34*s[31])/3 + (55*s[32])/3 - (27*s[33])/4 - 
       (79*s[34])/3 - 13*s[35] - (710*s[36])/9 + (1345*s[37])/9 + 948*s[38] - 
       (11788*s[39])/3 + (37598*s[40])/9 - (9296*s[41])/3 + (50878*s[42])/9 + 
       (303646*s[43])/99 - (1336273*s[44])/396 + (342526*s[45])/99 - 
       (2768804*s[46])/99 + (1920575*s[47])/1188 - (435889*s[48])/1188 - 
       (17053577*s[49])/1188 + (2092171*s[50])/99 + (4385083*s[51])/1188 + 
       (3704713*s[52])/1188 - (8888411*s[53])/594 + (109009*s[54])/99 - 
       (4107117*s[55])/44 - (9832717*s[56])/396 + (2962858*s[57])/99 - 
       (160098355*s[58])/3564 + (162378475*s[59])/3564 + 
       (1586227031*s[60])/7128 - (196225387*s[61])/16038 + 16*s[63] - 
       (13*s[65])/3 - 12*s[66] + 20*s[67] + 14*s[68] + 26*s[69] - 
       (244*s[70])/3 + (25*s[71])/3 + 28*s[72] + 4*s[73] - 22*s[74] + 
       19*s[75] - (106*s[76])/3 + (304*s[77])/3 + 52*s[78] + (364*s[79])/3 - 
       (472*s[80])/9 + 224*s[82] + 12*s[83] + 36*s[84] + 32*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Omega2[u, v, w]*
      ((7*s[2])/6 + (80*s[3])/3 + (5707*s[4])/12 + (20023*s[5])/66 + 
       (53569*s[6])/66 + (17848931*s[7])/2376 - (371753*s[8])/594 - 
       (170711*s[9])/27 - (54241*s[10])/27 - (2174527*s[11])/264 - 
       (7135553*s[12])/792 - (6438623*s[13])/1188 - (39917*s[14])/44 - 
       (2160119*s[15])/216 - (30137791*s[16])/2376 - (23228891*s[17])/2376 - 
       (35135*s[18])/27 - (130073*s[19])/108 - (8852009*s[20])/594 - 
       (4695049*s[21])/891 + (3513520*s[22])/891 + (10013887*s[23])/1188 + 
       (7396165*s[24])/891 - (84721378*s[25])/8019 + (45692347*s[26])/8019 + 
       (4*s[30])/3 - (2*s[31])/3 - s[32]/3 - (7*s[33])/4 + (4*s[34])/3 - 
       9*s[35] - (211*s[36])/18 + (1297*s[37])/36 + (691*s[38])/3 - 
       (7579*s[39])/8 + (77527*s[40])/72 - (20189*s[41])/24 + 
       (98699*s[42])/72 + (671333*s[43])/792 - (1421005*s[44])/1584 + 
       (822119*s[45])/792 - (1564591*s[46])/198 + (1501979*s[47])/4752 + 
       (586757*s[48])/4752 - (18166529*s[49])/4752 + (1208357*s[50])/198 + 
       (4604173*s[51])/4752 + (3657883*s[52])/4752 - (5010991*s[53])/1188 + 
       (19828*s[54])/99 - (4748287*s[55])/176 - (11392549*s[56])/1584 + 
       (1284451*s[57])/198 - (173942617*s[58])/14256 + 
       (174943405*s[59])/14256 + (1854832961*s[60])/28512 - 
       (224081197*s[61])/64152 + 2*s[66] - 2*s[67] + 2*s[68] - 6*s[69] + 
       2*s[70] + 2*s[72] + (2*s[73])/3 - (7*s[74])/2 + (7*s[75])/2 - 
       4*s[76] + s[77]/3 - (10*s[78])/3 + 120*s[79] - (623*s[80])/18 + 
       162*s[82] + s[83] + 42*s[84] + 32*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Omega2[u, v, w]*
      ((9*s[2])/2 + (233*s[3])/12 + (10573*s[4])/24 + (78581*s[5])/264 + 
       (101987*s[6])/132 + (34335757*s[7])/4752 - (705415*s[8])/1188 - 
       (1316329*s[9])/216 - (423311*s[10])/216 - (4183843*s[11])/528 - 
       (1713275*s[12])/198 - (24590837*s[13])/4752 - (492839*s[14])/528 - 
       (4162201*s[15])/432 - (3626834*s[16])/297 - (44803339*s[17])/4752 - 
       (274403*s[18])/216 - (82495*s[19])/72 - (34310143*s[20])/2376 - 
       (73150489*s[21])/14256 + (54224779*s[22])/14256 + 
       (19118603*s[23])/2376 + (56981603*s[24])/7128 - 
       (1296982975*s[25])/128304 + (704172415*s[26])/128304 + (2*s[30])/3 + 
       (2*s[31])/3 + s[32] - (5*s[33])/4 - (2*s[34])/3 - 9*s[35] - 
       (193*s[36])/18 + (1027*s[37])/36 + (661*s[38])/3 - (7221*s[39])/8 + 
       (74089*s[40])/72 - (19235*s[41])/24 + (93821*s[42])/72 + 
       (642155*s[43])/792 - (1377967*s[44])/1584 + (780845*s[45])/792 - 
       (745940*s[46])/99 + (1368185*s[47])/4752 + (741647*s[48])/4752 - 
       (17581403*s[49])/4752 + (1154069*s[50])/198 + (4383223*s[51])/4752 + 
       (3417889*s[52])/4752 - (4770781*s[53])/1188 + (11863*s[54])/99 - 
       (13550071*s[55])/528 - (10779271*s[56])/1584 + (613430*s[57])/99 - 
       (165492787*s[58])/14256 + (166594231*s[59])/14256 + 
       (1774418555*s[60])/28512 - (212223265*s[61])/64152 + 2*s[66] - 
       2*s[67] + 2*s[68] - 6*s[69] + 6*s[70] + 2*s[72] + (2*s[73])/3 - 
       (7*s[74])/2 + (7*s[75])/2 - 4*s[76] - (11*s[77])/3 - (10*s[78])/3 + 
       120*s[79] - (677*s[80])/18 + 186*s[82] + s[83] + 42*s[84] + 
       32*s[85]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      (7*s[2] + (163*s[3])/3 + (927*s[4])/2 + (6953*s[5])/33 + 
       (24944*s[6])/33 + (5063915*s[7])/792 - (948557*s[8])/1782 - 
       (862381*s[9])/162 - (544291*s[10])/324 - (16777075*s[11])/2376 - 
       (9202057*s[12])/1188 - (11163931*s[13])/2376 - (1520359*s[14])/2376 - 
       (1824653*s[15])/216 - (12858887*s[16])/1188 - (19612471*s[17])/2376 - 
       (276052*s[18])/243 - (490687*s[19])/486 - (66906505*s[20])/5346 - 
       (93963223*s[21])/21384 + (71361263*s[22])/21384 + 
       (2261443*s[23])/297 + (74810671*s[24])/10692 - 
       (1754855017*s[25])/192456 + (937028077*s[26])/192456 + s[30]/3 + 
       2*s[31] + (7*s[32])/6 + (5*s[33])/12 - (13*s[34])/3 - (8*s[35])/3 - 
       (62*s[36])/3 + (121*s[37])/18 + (601*s[38])/3 - (5027*s[39])/6 + 
       (1887*s[40])/2 - (2324*s[41])/3 + (2465*s[42])/2 + (16073*s[43])/22 - 
       (102163*s[44])/132 + (146449*s[45])/198 - (615995*s[46])/99 + 
       (110881*s[47])/396 + (39007*s[48])/396 - (1289203*s[49])/396 + 
       (313325*s[50])/66 + (348913*s[51])/396 + (278351*s[52])/396 - 
       (1916141*s[53])/594 + (27293*s[54])/198 - (8013077*s[55])/396 - 
       (6533867*s[56])/1188 + (12386065*s[57])/1782 - 
       (107117629*s[58])/10692 + (107190637*s[59])/10692 + 
       (119155427*s[60])/2376 - (252736195*s[61])/96228 - s[68] + 3*s[69] - 
       2*s[71] + 4*s[72] - 2*s[73] - (16*s[74])/3 + (16*s[75])/3 - 4*s[76] - 
       (5*s[77])/3 + (8*s[78])/3 + (248*s[79])/3 - (44*s[80])/9 - 20*s[82] + 
       48*s[84] + 32*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*((13*s[2])/12 + 2*s[3] - 
       319*s[4] - (60263*s[5])/352 - (171327*s[6])/352 - 
       (8698961*s[7])/2112 + (2610077*s[8])/7128 + (4522091*s[9])/1296 + 
       (274267*s[10])/324 + (87546521*s[11])/19008 + (49409279*s[12])/9504 + 
       (60929273*s[13])/19008 + (4694651*s[14])/19008 + 
       (8986681*s[15])/1728 + (63621511*s[16])/9504 + 
       (90060497*s[17])/19008 + (198727*s[18])/243 + (202555*s[19])/486 + 
       (669528091*s[20])/85536 + (488473493*s[21])/171072 - 
       (373670281*s[22])/171072 - (28820665*s[23])/4752 - 
       (89059457*s[24])/21384 + (9229930163*s[25])/1539648 - 
       (4995845477*s[26])/1539648 - s[30]/3 + (73*s[32])/24 + 
       (197*s[33])/48 + (55*s[34])/12 + 3*s[35] + (1001*s[36])/72 - 
       (1429*s[37])/48 - (2065*s[38])/12 + (23137*s[39])/32 - 
       (230765*s[40])/288 + (58903*s[41])/96 - (310981*s[42])/288 - 
       (149645*s[43])/288 + (41159*s[44])/72 - (122179*s[45])/288 + 
       (99535*s[46])/24 - (77533*s[47])/216 + (159935*s[48])/864 + 
       (945983*s[49])/432 - (211289*s[50])/72 - (648101*s[51])/864 - 
       (564731*s[52])/864 + (145151*s[53])/72 - (9691*s[54])/16 + 
       (3550417*s[55])/288 + (825095*s[56])/216 - (21525947*s[57])/2592 + 
       (30146447*s[58])/3888 - (59328949*s[59])/7776 - 
       (160955269*s[60])/5184 + (233619575*s[61])/139968 - s[66]/6 + 
       s[67]/6 + (2*s[68])/3 - s[69]/3 + (23*s[70])/3 + (17*s[71])/12 - 
       (5*s[72])/3 - (4*s[73])/3 + (17*s[74])/4 - (17*s[75])/4 + 
       (5*s[76])/6 - (15*s[77])/2 - (181*s[79])/2 + (1721*s[80])/72 + 
       (473*s[82])/2 - (5*s[83])/4 - 39*s[84] + 33*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - w]*
      ((17*s[2])/4 + (389*s[3])/24 + (1051*s[4])/3 + (16705*s[5])/66 + 
       (677515*s[6])/1056 + (18189773*s[7])/3168 - (13433711*s[8])/28512 - 
       (12555205*s[9])/2592 - (1958221*s[10])/1296 - (119757317*s[11])/
        19008 - (130909027*s[12])/19008 - (39150523*s[13])/9504 - 
       (3503183*s[14])/4752 - (6587159*s[15])/864 - (92051953*s[16])/9504 - 
       (141774143*s[17])/19008 - (8417081*s[18])/7776 - 
       (6376549*s[19])/7776 - (978553285*s[20])/85536 - 
       (355194571*s[21])/85536 + (257966045*s[22])/85536 + 
       (128298631*s[23])/19008 + (1064170075*s[24])/171072 - 
       (12338218163*s[25])/1539648 + (6801498713*s[26])/1539648 + 
       (7*s[30])/12 + (3*s[31])/2 - (5*s[32])/6 - s[33]/48 - (13*s[34])/12 + 
       s[35]/48 - (581*s[36])/48 + (1081*s[37])/72 + (4609*s[38])/24 - 
       (12651*s[39])/16 + (14257*s[40])/16 - (11227*s[41])/16 + 
       (54937*s[42])/48 + (123809*s[43])/176 - (260781*s[44])/352 + 
       (1337909*s[45])/1584 - (10252673*s[46])/1584 + (5645*s[47])/22 + 
       (10161*s[48])/88 - (1684981*s[49])/528 + (2628133*s[50])/528 + 
       (104779*s[51])/132 + (670495*s[52])/1056 - (1028791*s[53])/297 + 
       (26417*s[54])/198 - (34878289*s[55])/1584 - (27814841*s[56])/4752 + 
       (39595687*s[57])/7128 - (429497533*s[58])/42768 + 
       (434117611*s[59])/42768 + (503210065*s[60])/9504 - 
       (552549023*s[61])/192456 - s[70]/2 - s[71]/2 + 3*s[72] - 
       (10*s[74])/3 + (10*s[75])/3 - 3*s[76] - s[77]/6 + (13*s[78])/6 + 
       (221*s[79])/3 - (331*s[80])/18 + (463*s[82])/4 + 36*s[84] + 
       34*s[85]) + HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((11*s[2])/2 + (187*s[3])/12 + (5467*s[4])/16 + (12103*s[5])/44 + 
       (704449*s[6])/1056 + (6275057*s[7])/1056 - (13444655*s[8])/28512 - 
       (13026859*s[9])/2592 - (2075041*s[10])/1296 - (123531809*s[11])/
        19008 - (134180419*s[12])/19008 - (40060123*s[13])/9504 - 
       (1036097*s[14])/1188 - (6865307*s[15])/864 - (95593675*s[16])/9504 - 
       (149207051*s[17])/19008 - (8745725*s[18])/7776 - 
       (6639313*s[19])/7776 - (1021653277*s[20])/85536 - 
       (374053027*s[21])/85536 + (266967557*s[22])/85536 + 
       (127759519*s[23])/19008 + (1108051519*s[24])/171072 - 
       (12645878321*s[25])/1539648 + (7050314639*s[26])/1539648 + s[30]/12 + 
       (3*s[31])/2 - (5*s[32])/6 - (37*s[33])/48 - (7*s[34])/12 + s[35]/48 - 
       (581*s[36])/48 + (1081*s[37])/72 + (4609*s[38])/24 - 
       (12651*s[39])/16 + (14257*s[40])/16 - (11227*s[41])/16 + 
       (54937*s[42])/48 + (123809*s[43])/176 - (260781*s[44])/352 + 
       (1337909*s[45])/1584 - (10252673*s[46])/1584 + (5645*s[47])/22 + 
       (10161*s[48])/88 - (1684981*s[49])/528 + (2628133*s[50])/528 + 
       (104779*s[51])/132 + (670495*s[52])/1056 - (1028791*s[53])/297 + 
       (26417*s[54])/198 - (34878289*s[55])/1584 - (27814841*s[56])/4752 + 
       (39595687*s[57])/7128 - (429497533*s[58])/42768 + 
       (434117611*s[59])/42768 + (503210065*s[60])/9504 - 
       (552549023*s[61])/192456 - s[70]/2 - s[71]/2 + 3*s[72] - 
       (10*s[74])/3 + (10*s[75])/3 - 3*s[76] - s[77]/6 + (13*s[78])/6 + 
       (221*s[79])/3 - (331*s[80])/18 + (463*s[82])/4 + 36*s[84] + 
       34*s[85]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
      ((79*s[2])/24 + (208*s[3])/3 + (57445*s[4])/96 + (462779*s[5])/1056 + 
       (389355*s[6])/352 + (11607967*s[7])/1188 - (7581895*s[8])/9504 - 
       (7068881*s[9])/864 - (2268379*s[10])/864 - (67668125*s[11])/6336 - 
       (73506647*s[12])/6336 - (65913337*s[13])/9504 - (4242673*s[14])/3168 - 
       (355285*s[15])/27 - (157706545*s[16])/9504 - (247366477*s[17])/19008 - 
       (4677947*s[18])/2592 - (3890371*s[19])/2592 - (556460551*s[20])/
        28512 - (67258777*s[21])/9504 + (36290929*s[22])/7128 + 
       (211956295*s[23])/19008 + (612289157*s[24])/57024 - 
       (773989879*s[25])/57024 + (427785409*s[26])/57024 + (23*s[30])/24 + 
       (17*s[31])/12 - (61*s[32])/8 - (275*s[33])/96 + (19*s[34])/24 - 
       (5*s[35])/3 - (623*s[36])/36 + (1055*s[37])/36 + (2311*s[38])/8 - 
       (28343*s[39])/24 + (95683*s[40])/72 - (49573*s[41])/48 + 
       (245371*s[42])/144 + (824495*s[43])/792 - (1747087*s[44])/1584 + 
       (83857*s[45])/66 - (7640531*s[46])/792 + (3809623*s[47])/9504 + 
       (1319839*s[48])/9504 - (44913859*s[49])/9504 + (1465679*s[50])/198 + 
       (11200271*s[51])/9504 + (4506901*s[52])/4752 - (12312433*s[53])/2376 + 
       (423323*s[54])/1584 - (34833215*s[55])/1056 - (83010505*s[56])/9504 + 
       (116452463*s[57])/14256 - (1279720061*s[58])/85536 + 
       (1296479105*s[59])/85536 + (4495999081*s[60])/57024 - 
       (1647244795*s[61])/384912 + s[64]/8 + s[65]/24 + s[66]/4 - s[67] - 
       2*s[68] - 2*s[69] - (5*s[70])/4 - (7*s[71])/24 + (10*s[72])/3 - 
       (9*s[73])/2 - (113*s[74])/24 + (61*s[75])/12 - 6*s[76] - (9*s[77])/2 + 
       (11*s[78])/3 + (427*s[79])/4 - 29*s[80] + 188*s[82] + (3*s[83])/16 + 
       (407*s[84])/8 + 35*s[85]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*((-23*s[2])/12 + (521*s[3])/72 + 
       (6413*s[4])/16 + (396059*s[5])/1584 + (310961*s[6])/528 + 
       (1658983*s[7])/264 - (11461169*s[8])/21384 - (20624951*s[9])/3888 - 
       (410491*s[10])/243 - (197340403*s[11])/28512 - 
       (217368275*s[12])/28512 - (65289971*s[13])/14256 - 
       (8267993*s[14])/14256 - (10873489*s[15])/1296 - 
       (75475789*s[16])/7128 - (230550847*s[17])/28512 - 
       (11469193*s[18])/11664 - (6822223*s[19])/5832 - 
       (396034367*s[20])/32076 - (547268657*s[21])/128304 + 
       (53170919*s[22])/16038 + (195823241*s[23])/28512 + 
       (1826860829*s[24])/256608 - (2580474665*s[25])/288684 + 
       (5436938879*s[26])/1154736 + (25*s[30])/9 - s[31]/3 - (70*s[32])/9 - 
       (17*s[33])/18 + (7*s[34])/18 - (71*s[35])/9 - (169*s[36])/36 + 
       (2159*s[37])/108 + (1319*s[38])/9 - (8043*s[39])/16 + 
       (79375*s[40])/144 - (60611*s[41])/144 + (99983*s[42])/144 + 
       (222043*s[43])/528 - (356725*s[44])/792 + (1137313*s[45])/2376 - 
       (17768315*s[46])/4752 + (105401*s[47])/528 + (4027*s[48])/198 - 
       (3181807*s[49])/1584 + (293758*s[50])/99 + (1153607*s[51])/2376 + 
       (603967*s[52])/1584 - (14264561*s[53])/7128 - (19838*s[54])/297 - 
       (15172787*s[55])/1188 - (43763861*s[56])/14256 + 
       (136469879*s[57])/42768 - (185761561*s[58])/32076 + 
       (189893695*s[59])/32076 + (904701205*s[60])/28512 - 
       (433572121*s[61])/288684 - s[64]/4 - s[65]/12 - s[66]/2 - 
       (4*s[68])/3 - (8*s[69])/3 + s[70]/2 + (5*s[71])/6 - (4*s[72])/3 - 
       (49*s[73])/6 - (35*s[74])/18 + (79*s[75])/36 + (7*s[76])/3 - 
       (32*s[77])/9 + (5*s[78])/9 + (1159*s[79])/18 - (1279*s[80])/54 + 
       (1231*s[82])/6 - (5*s[83])/2 + 27*s[84] + (106*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Omega2[w, u, v]*
      (3*s[2] + (43*s[3])/4 + (219*s[4])/8 + (3735*s[5])/44 + 
       (6125*s[6])/44 + (2315975*s[7])/1584 - (79369*s[8])/1188 - 
       (272293*s[9])/216 - (30623*s[10])/54 - (1214515*s[11])/792 - 
       (2411473*s[12])/1584 - (448589*s[13])/528 - (823211*s[14])/1584 - 
       (106615*s[15])/48 - (700565*s[16])/264 - (1909703*s[17])/792 - 
       (150173*s[18])/648 - (54427*s[19])/162 - (2971880*s[20])/891 - 
       (17609411*s[21])/14256 + (10938715*s[22])/14256 + (303631*s[23])/528 + 
       (26523877*s[24])/14256 - (231163997*s[25])/128304 + 
       (140791991*s[26])/128304 + s[32] + s[33] + 2*s[34] - 3*s[35] - 
       (4*s[36])/3 - (35*s[37])/6 + 20*s[38] - 66*s[39] + (271*s[40])/3 - 
       80*s[41] + (218*s[42])/3 + (4955*s[43])/33 - (37189*s[44])/264 + 
       (34741*s[45])/132 - (67597*s[46])/44 - (26303*s[47])/396 + 
       (88207*s[48])/396 - (147221*s[49])/198 + (173873*s[50])/132 + 
       (4673*s[51])/99 - (1799*s[52])/792 - (40833*s[53])/44 - 
       (5157*s[54])/22 - (204962*s[55])/33 - (130352*s[56])/99 - 
       (1798495*s[57])/1188 - (5639797*s[58])/3564 + (3136073*s[59])/1782 + 
       (34608133*s[60])/2376 - (23229571*s[61])/32076 + 4*s[70] + s[74]/2 - 
       s[75]/2 - 4*s[77] + 8*s[79] - (7*s[80])/3 + 204*s[82] + 36*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-15*s[2])/2 - (47*s[3])/2 - (143*s[4])/4 - (1351*s[5])/22 - 
       (30765*s[6])/176 - (183233*s[7])/132 + (366205*s[8])/4752 + 
       (494219*s[9])/432 + (26759*s[10])/54 + (4548901*s[11])/3168 + 
       (4519679*s[12])/3168 + (1382693*s[13])/1584 + (358375*s[14])/792 + 
       (148967*s[15])/72 + (1953661*s[16])/792 + (7382863*s[17])/3168 + 
       (192157*s[18])/1296 + (495095*s[19])/1296 + (41547359*s[20])/14256 + 
       (14523197*s[21])/14256 - (9924661*s[22])/14256 - (769205*s[23])/3168 - 
       (52676825*s[24])/28512 + (456507853*s[25])/256608 - 
       (259287847*s[26])/256608 + 2*s[30] + (5*s[32])/2 + 4*s[33] - 2*s[34] - 
       4*s[35] + s[36] - (65*s[37])/3 + 30*s[38] - 135*s[39] + 170*s[40] - 
       (683*s[41])/4 + (721*s[42])/4 + (2334*s[43])/11 - (20061*s[44])/88 + 
       (8494*s[45])/33 - (61582*s[46])/33 - (40063*s[47])/528 + 
       (159917*s[48])/528 - (572525*s[49])/528 + (140117*s[50])/88 + 
       (53863*s[51])/528 + (3995*s[52])/264 - (409631*s[53])/396 - 
       (46399*s[54])/132 - (1193355*s[55])/176 - (2507341*s[56])/1584 - 
       (306113*s[57])/1188 - (32990999*s[58])/14256 + 
       (34819385*s[59])/14256 + (54369991*s[60])/3168 - 
       (27180173*s[61])/32076 - 3*s[68] + 3*s[69] + 6*s[70] + s[74] - s[75] - 
       7*s[77] - 2*s[78] + 4*s[79] - (4*s[80])/3 + 219*s[82] + 36*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[w, u, v]*(3*s[2] + 9*s[3] + 
       (1839*s[4])/8 + (14239*s[5])/88 + (36049*s[6])/88 + 
       (1490915*s[7])/396 - (234647*s[8])/792 - (229123*s[9])/72 - 
       (72851*s[10])/72 - (2187781*s[11])/528 - (2389039*s[12])/528 - 
       (268735*s[13])/99 - (123515*s[14])/264 - (180269*s[15])/36 - 
       (5037977*s[16])/792 - (7741301*s[17])/1584 - (148099*s[18])/216 - 
       (124805*s[19])/216 - (8918863*s[20])/1188 - (268573*s[21])/99 + 
       (1177727*s[22])/594 + (6787091*s[23])/1584 + (19645405*s[24])/4752 - 
       (75123053*s[25])/14256 + (41199749*s[26])/14256 + s[30]/2 + s[31] + 
       (7*s[33])/8 - (3*s[34])/2 - s[35] - (29*s[36])/3 - (10*s[37])/3 + 
       (275*s[38])/2 - (2145*s[39])/4 + (7307*s[40])/12 - 495*s[41] + 
       (2278*s[42])/3 + (69367*s[43])/132 - (143177*s[44])/264 + 
       (41263*s[45])/66 - (206755*s[46])/44 + (88585*s[47])/792 + 
       (160327*s[48])/792 - (1908253*s[49])/792 + (486499*s[50])/132 + 
       (415247*s[51])/792 + (318827*s[52])/792 - (84019*s[53])/33 - 
       (3005*s[54])/44 - (1433547*s[55])/88 - (3280907*s[56])/792 + 
       (3458755*s[57])/1188 - (49542517*s[58])/7128 + (50839579*s[59])/7128 + 
       (187267675*s[60])/4752 - (66236609*s[61])/32076 - 2*s[68] + 2*s[69] + 
       s[70] - s[71] + 2*s[72] - 2*s[74] + 2*s[75] - 3*s[77] + 44*s[79] - 
       (20*s[80])/3 + 105*s[82] + 24*s[84] + 36*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^3*((151*s[2])/48 + (103*s[3])/32 + 
       (68401*s[4])/192 + (144569*s[5])/528 + (1446883*s[6])/2112 + 
       (238735927*s[7])/38016 - (9493291*s[8])/19008 - (143522*s[9])/27 - 
       (1500563*s[10])/864 - (86678183*s[11])/12672 - (23484317*s[12])/3168 - 
       (167703731*s[13])/38016 - (12298283*s[14])/12672 - 
       (29145073*s[15])/3456 - (101376611*s[16])/9504 - 
       (318779707*s[17])/38016 - (1459709*s[18])/1296 - 
       (5013043*s[19])/5184 - (723396559*s[20])/57024 - 
       (173252567*s[21])/38016 + (376937465*s[22])/114048 + 
       (63691861*s[23])/9504 + (24720871*s[24])/3564 - 
       (1481231447*s[25])/171072 + (816682643*s[26])/171072 + (7*s[30])/12 - 
       s[31]/12 - (3*s[32])/8 - (57*s[33])/32 + 2*s[34] - (85*s[35])/24 - 
       (695*s[36])/72 + (3455*s[37])/144 + (4157*s[38])/24 - (3013*s[39])/4 + 
       (62687*s[40])/72 - (11041*s[41])/16 + (79237*s[42])/72 + 
       (273947*s[43])/396 - (4705835*s[44])/6336 + (2844025*s[45])/3168 - 
       (21283091*s[46])/3168 + (4328449*s[47])/19008 + 
       (3157345*s[48])/19008 - (59989843*s[49])/19008 + (2069579*s[50])/396 + 
       (14761433*s[51])/19008 + (11465075*s[52])/19008 - 
       (2156755*s[53])/594 + (97171*s[54])/792 - (147545615*s[55])/6336 - 
       (4360047*s[56])/704 + (44603825*s[57])/9504 - (578436523*s[58])/
        57024 + (582788737*s[59])/57024 + (6327345763*s[60])/114048 - 
       (521273447*s[61])/171072 + s[66] - (11*s[67])/12 + s[68] - 3*s[69] + 
       2*s[70] - s[71]/6 + (25*s[72])/12 + (7*s[73])/12 - (145*s[74])/48 + 
       (143*s[75])/48 + (5*s[76])/6 - (17*s[77])/24 - (5*s[78])/4 + 
       (313*s[79])/3 - (2623*s[80])/72 + (381*s[82])/2 + s[83]/4 + 
       (71*s[84])/2 + 37*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 1}, 1 - w]*((-261*s[2])/16 + (297*s[3])/32 + 
       (140441*s[4])/192 + (30229*s[5])/96 + (185923*s[6])/192 + 
       (10391773*s[7])/1152 - (4567537*s[8])/5184 - (9748501*s[9])/1296 - 
       (2553887*s[10])/1296 - (34834861*s[11])/3456 - (4939651*s[12])/432 - 
       (24077599*s[13])/3456 - (785209*s[14])/3456 - (39353899*s[15])/3456 - 
       (12684547*s[16])/864 - (35858059*s[17])/3456 - (6175631*s[18])/3888 - 
       (20151439*s[19])/15552 - (261471497*s[20])/15552 - 
       (175781491*s[21])/31104 + (147454331*s[22])/31104 + 
       (10858337*s[23])/864 + (9257569*s[24])/972 - (1873499177*s[25])/
        139968 + (949070225*s[26])/139968 - s[28]/8 - s[29] + (97*s[30])/24 - 
       (65*s[31])/12 + s[32]/12 - (175*s[33])/12 + (9*s[34])/8 - 
       (23*s[35])/24 - (1913*s[36])/72 + (3151*s[37])/48 + (841*s[38])/2 - 
       (38809*s[39])/24 + (16465*s[40])/9 - 1420*s[41] + (333983*s[42])/144 + 
       (1157965*s[43])/792 - (9646001*s[44])/6336 + (1688587*s[45])/1056 - 
       (40000339*s[46])/3168 + (8806087*s[47])/19008 + 
       (6086623*s[48])/19008 - (123582757*s[49])/19008 + 
       (15326489*s[50])/1584 + (30753035*s[51])/19008 + 
       (24915545*s[52])/19008 - (15915257*s[53])/2376 + 
       (1083439*s[54])/1584 - (267601661*s[55])/6336 - 
       (212349187*s[56])/19008 + (306389573*s[57])/28512 - 
       (3318335255*s[58])/171072 + (3358808561*s[59])/171072 + 
       (11824279777*s[60])/114048 - (8176411217*s[61])/1539648 - s[64]/4 - 
       (7*s[65])/8 + (8*s[66])/3 - (17*s[67])/12 - (26*s[68])/3 + s[69]/3 - 
       (103*s[70])/12 + (11*s[71])/24 + (17*s[72])/12 - (75*s[73])/4 - 
       (113*s[74])/16 + (101*s[75])/16 - (97*s[76])/12 + (27*s[77])/8 - 
       (139*s[78])/12 + (539*s[79])/3 - (493*s[80])/8 + s[81]/24 + 
       (97*s[82])/2 + 9*s[83] + (267*s[84])/2 + 37*s[85]) + 
     HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v]*((2255*s[2])/72 - 
       (947*s[3])/144 + (48655*s[4])/288 + (108085*s[5])/288 + 
       (53813*s[6])/72 + (3588175*s[7])/576 - (323579*s[8])/1296 - 
       (14064943*s[9])/2592 - (5529965*s[10])/2592 - (11453329*s[11])/1728 - 
       (5825053*s[12])/864 - (6883933*s[13])/1728 - (3680239*s[14])/1728 - 
       (15159511*s[15])/1728 - (587477*s[16])/54 - (16296193*s[17])/1728 - 
       (9805739*s[18])/7776 - (7000129*s[19])/7776 - (107059439*s[20])/7776 - 
       (83912959*s[21])/15552 + (51508073*s[22])/15552 + 
       (1789979*s[23])/432 + (27944279*s[24])/3888 - (1086180973*s[25])/
        139968 + (681875881*s[26])/139968 - s[28]/8 + (17*s[29])/2 - 
       (52*s[30])/9 + (301*s[31])/36 - (7*s[32])/9 + (217*s[33])/18 - 
       (17*s[34])/18 + (127*s[35])/18 + (281*s[36])/36 - (61*s[37])/6 + 
       (3131*s[38])/24 - (65623*s[39])/144 + (82727*s[40])/144 - 
       (34837*s[41])/72 + (45349*s[42])/72 + (848029*s[43])/1584 - 
       (1698329*s[44])/3168 + (1185241*s[45])/1584 - (664459*s[46])/132 + 
       (325381*s[47])/9504 + (3872155*s[48])/9504 - (22538035*s[49])/9504 + 
       (6310987*s[50])/1584 + (4620653*s[51])/9504 + (3320819*s[52])/9504 - 
       (12814511*s[53])/4752 - (283891*s[54])/1584 - (170322763*s[55])/9504 - 
       (44381377*s[56])/9504 + (12862837*s[57])/7128 - 
       (615582617*s[58])/85536 + (619867121*s[59])/85536 + 
       (2490683047*s[60])/57024 - (1789366919*s[61])/769824 + s[62] + 
       s[64]/2 + (17*s[65])/8 + (7*s[66])/3 - (35*s[67])/6 - (5*s[68])/6 - 
       (25*s[69])/3 + (44*s[70])/3 - (35*s[71])/8 - (71*s[72])/18 + 
       (53*s[73])/6 - (31*s[74])/72 + (67*s[75])/72 + (31*s[76])/36 - 
       (205*s[77])/12 - (73*s[78])/18 + (308*s[79])/3 - (133*s[80])/9 - 
       s[81]/12 + 118*s[82] - (25*s[83])/6 + (121*s[84])/3 + (112*s[85])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v]*
      ((7*s[2])/4 + (77*s[3])/8 + (769*s[4])/16 + (5227*s[5])/66 + 
       (525229*s[6])/3168 + (1525321*s[7])/1056 - (761729*s[8])/9504 - 
       (1058461*s[9])/864 - (108197*s[10])/216 - (1079505*s[11])/704 - 
       (9856657*s[12])/6336 - (734033*s[13])/792 - (1260229*s[14])/3168 - 
       (1829261*s[15])/864 - (2041741*s[16])/792 - (4822129*s[17])/2112 - 
       (550307*s[18])/2592 - (844447*s[19])/2592 - (87732259*s[20])/28512 - 
       (8121385*s[21])/7128 + (5346167*s[22])/7128 + (5397383*s[23])/6336 + 
       (102535651*s[24])/57024 - (958398911*s[25])/513216 + 
       (560600693*s[26])/513216 + s[30]/2 + s[32]/2 + (5*s[33])/4 + 
       (3*s[34])/2 + (9*s[35])/4 - 5*s[36] - (113*s[37])/9 + 
       (1753*s[38])/72 - (1685*s[39])/18 + (1090*s[40])/9 - (1237*s[41])/12 + 
       (8551*s[42])/72 + (1511*s[43])/9 - (7279*s[44])/48 + 
       (19691*s[45])/72 - (40121*s[46])/24 - (14345*s[47])/288 + 
       (57079*s[48])/288 - (222019*s[49])/288 + (198029*s[50])/144 + 
       (56887*s[51])/864 + (5053*s[52])/144 - (23885*s[53])/24 - 
       (379*s[54])/3 - (1904519*s[55])/288 - (446101*s[56])/288 - 
       (198707*s[57])/216 - (5085443*s[58])/2592 + (5542265*s[59])/2592 + 
       (26143849*s[60])/1728 - (2411131*s[61])/2916 - s[68]/2 + s[69]/2 + 
       (3*s[70])/2 + (3*s[74])/4 - (3*s[75])/4 + s[76] - (5*s[77])/2 + 
       6*s[79] - (13*s[80])/6 + 175*s[82] + 38*s[85]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((43*s[2])/8 + (1901*s[3])/48 + (69983*s[4])/96 + (6337*s[5])/12 + 
       (42703*s[6])/32 + (384051*s[7])/32 - (1254709*s[8])/1296 - 
       (26263577*s[9])/2592 - (8234647*s[10])/2592 - (1425995*s[11])/108 - 
       (12476015*s[12])/864 - (3754079*s[13])/432 - (669143*s[14])/432 - 
       (13769731*s[15])/864 - (17574115*s[16])/864 - (6765137*s[17])/432 - 
       (16934353*s[18])/7776 - (14108567*s[19])/7776 - 
       (92845571*s[20])/3888 - (33686783*s[21])/3888 + 
       (49120853*s[22])/7776 + (11958359*s[23])/864 + (12805111*s[24])/972 - 
       (73560031*s[25])/4374 + (647154139*s[26])/69984 + (17*s[30])/12 + 
       s[31] - (9*s[32])/4 - (11*s[33])/48 - (3*s[34])/2 + (31*s[35])/12 - 
       (1099*s[36])/36 + (403*s[37])/18 + (4973*s[38])/12 - (13283*s[39])/8 + 
       (133997*s[40])/72 - (8731*s[41])/6 + (173335*s[42])/72 + 
       (1135723*s[43])/792 - (9645803*s[44])/6336 + (843793*s[45])/528 - 
       (20063909*s[46])/1584 + (10915381*s[47])/19008 + 
       (3028117*s[48])/19008 - (123944107*s[49])/19008 + 
       (7681543*s[50])/792 + (31388549*s[51])/19008 + 
       (25624979*s[52])/19008 - (31705213*s[53])/4752 + (388195*s[54])/1584 - 
       (268520359*s[55])/6336 - (214817521*s[56])/19008 + 
       (370991363*s[57])/28512 - (3464952209*s[58])/171072 + 
       (3495927455*s[59])/171072 + (11783870749*s[60])/114048 - 
       (8445910139*s[61])/1539648 + s[62]/4 + (5*s[66])/6 - (5*s[67])/6 - 
       s[68]/6 - (3*s[69])/2 - (13*s[70])/3 - (17*s[71])/12 + (35*s[72])/6 + 
       s[73]/6 - (161*s[74])/24 + (161*s[75])/24 - (14*s[76])/3 + s[77]/4 + 
       (25*s[78])/6 + (443*s[79])/3 - (59*s[80])/2 + 153*s[82] - s[83] + 
       62*s[84] + 38*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]*((-761*s[2])/48 + (13019*s[3])/288 - 
       (4883*s[4])/576 + (27701*s[5])/1584 - (66389*s[6])/6336 + 
       (24552541*s[7])/114048 + (55621*s[8])/6336 - (150917*s[9])/864 - 
       (28075*s[10])/96 - (2516521*s[11])/38016 + (168233*s[12])/1056 + 
       (37609699*s[13])/114048 - (18016201*s[14])/38016 - 
       (8827807*s[15])/10368 - (20341355*s[16])/28512 - 
       (134802577*s[17])/114048 - (22271*s[18])/7776 - 
       (3526505*s[19])/15552 - (194627357*s[20])/171072 - 
       (120635495*s[21])/342144 + (941753*s[22])/12672 - 
       (26756759*s[23])/28512 + (7854287*s[24])/14256 + 
       (52529677*s[25])/769824 + (70221953*s[26])/769824 - s[28]/4 - s[29] + 
       (137*s[30])/72 - (217*s[31])/18 + (85*s[32])/24 + (37*s[33])/24 + 
       (1171*s[34])/72 - (29*s[35])/24 + (4291*s[36])/216 - (253*s[37])/108 - 
       (649*s[38])/9 + (4825*s[39])/24 - (4904*s[40])/27 + (10031*s[41])/72 - 
       (119683*s[42])/432 - (308723*s[43])/2376 + (2089933*s[44])/19008 + 
       (468305*s[45])/4752 + (428369*s[46])/4752 - (5942099*s[47])/57024 + 
       (3680173*s[48])/57024 + (29580281*s[49])/57024 + (30281*s[50])/297 - 
       (6817231*s[51])/57024 - (10374757*s[52])/57024 - 
       (3206347*s[53])/28512 - (635605*s[54])/4752 - (8135605*s[55])/6336 - 
       (3447071*s[56])/19008 - (29376607*s[57])/9504 + 
       (148967107*s[58])/171072 - (148309627*s[59])/171072 + 
       (226021357*s[60])/342144 - (159659045*s[61])/769824 - (7*s[62])/8 - 
       s[64]/4 + (20*s[66])/3 - (71*s[67])/12 + (5*s[68])/3 - 18*s[69] + 
       (17*s[70])/6 + (53*s[71])/24 - (19*s[72])/4 - (83*s[73])/36 + 
       (21*s[74])/16 - (15*s[75])/16 + (41*s[76])/6 - (317*s[77])/72 - 
       (647*s[78])/36 + (94*s[79])/3 - (3389*s[80])/108 + s[81]/24 + 
       (589*s[82])/2 + (20*s[83])/3 + (55*s[84])/2 + (115*s[85])/3) + 
     HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*((535*s[2])/72 - 
       (4759*s[3])/144 + (146399*s[4])/288 + (198367*s[5])/792 + 
       (2424655*s[6])/3168 + (389114329*s[7])/57024 - (16878439*s[8])/28512 - 
       (3756611*s[9])/648 - (1030879*s[10])/648 - (144049127*s[11])/19008 - 
       (80387221*s[12])/9504 - (296307113*s[13])/57024 - 
       (8907737*s[14])/19008 - (45244063*s[15])/5184 - 
       (160309715*s[16])/14256 - (465315451*s[17])/57024 - 
       (4996651*s[18])/3888 - (6242485*s[19])/7776 - (1120969261*s[20])/
        85536 - (268251001*s[21])/57024 + (622874579*s[22])/171072 + 
       (270872015*s[23])/28512 + (602317963*s[24])/85536 - 
       (26228819*s[25])/2673 + (112524493*s[26])/21384 - s[28]/8 + 
       (15*s[29])/2 + (7*s[30])/9 + (193*s[31])/36 - (22*s[32])/9 - 
       (41*s[33])/48 - (37*s[34])/18 + (3*s[35])/4 - (4885*s[36])/216 + 
       (8773*s[37])/432 + (23537*s[38])/72 - (128965*s[39])/96 + 
       (1337809*s[40])/864 - (358661*s[41])/288 + (1720487*s[42])/864 + 
       (10998803*s[43])/9504 - (24099847*s[44])/19008 + 
       (11410253*s[45])/9504 - (23851579*s[46])/2376 + 
       (27156881*s[47])/57024 + (6343055*s[48])/57024 - 
       (295093547*s[49])/57024 + (36896455*s[50])/4752 + 
       (81196219*s[51])/57024 + (62564497*s[52])/57024 - 
       (37552499*s[53])/7128 + (961735*s[54])/4752 - (211214431*s[55])/6336 - 
       (170374943*s[56])/19008 + (158632783*s[57])/14256 - 
       (923770373*s[58])/57024 + (931080613*s[59])/57024 + 
       (28011399803*s[60])/342144 - (3246731579*s[61])/769824 + 
       (11*s[62])/8 + s[64]/2 + s[65]/8 - (5*s[66])/3 + (2*s[67])/3 - 
       s[68]/6 + s[69] + 8*s[70] - (65*s[71])/24 + (31*s[72])/6 - 
       (25*s[73])/9 - (157*s[74])/24 + (169*s[75])/24 - (11*s[76])/4 - 
       (275*s[77])/36 - (10*s[78])/9 + 212*s[79] - (9833*s[80])/216 - 
       s[81]/12 + 37*s[82] - (5*s[83])/3 + 86*s[84] + (116*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      (s[2]/6 - (343*s[3])/6 - (5179*s[4])/8 - (156641*s[5])/264 - 
       (343603*s[6])/264 - (9009301*s[7])/792 + (2113693*s[8])/2376 + 
       (2069837*s[9])/216 + (645877*s[10])/216 + (19432915*s[11])/1584 + 
       (20971217*s[12])/1584 + (772622*s[13])/99 + (1610771*s[14])/792 + 
       (372749*s[15])/24 + (3812173*s[16])/198 + (2708305*s[17])/176 + 
       (1452247*s[18])/648 + (1001975*s[19])/648 + (20592799*s[20])/891 + 
       (15157343*s[21])/1782 - (21046637*s[22])/3564 - 
       (20358853*s[23])/1584 - (174908153*s[24])/14256 + 
       (1984343881*s[25])/128304 - (1125959809*s[26])/128304 + s[30]/2 + 
       (13*s[31])/3 - (10*s[32])/3 - (3*s[33])/8 - (11*s[34])/2 - 17*s[35] + 
       (8*s[36])/3 - (133*s[37])/6 - (1082*s[38])/3 + (17389*s[39])/12 - 
       (19645*s[40])/12 + (5171*s[41])/4 - (8433*s[42])/4 - 
       (165817*s[43])/132 + (361595*s[44])/264 - (226381*s[45])/132 + 
       (825617*s[46])/66 - (202843*s[47])/396 - (45107*s[48])/198 + 
       (1142393*s[49])/198 - (1255205*s[50])/132 - (587335*s[51])/396 - 
       (947065*s[52])/792 + (2704441*s[53])/396 - (18059*s[54])/22 + 
       (4353887*s[55])/99 + (1166206*s[56])/99 - (2482408*s[57])/297 + 
       (33519625*s[58])/1782 - (17034425*s[59])/891 - 
       (241677817*s[60])/2376 + (369685783*s[61])/64152 + 4*s[68] - 4*s[69] + 
       (8*s[70])/3 + (17*s[71])/3 - (10*s[72])/3 - (56*s[73])/3 + 
       (59*s[74])/6 - (43*s[75])/6 - (26*s[76])/3 + s[77]/3 + (4*s[78])/3 - 
       (430*s[79])/3 + 31*s[80] + 134*s[82] + s[83] - 8*s[84] + 40*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-3*s[2])/2 + 18*s[3] + (477*s[4])/4 + (9117*s[5])/88 + 
       (27409*s[6])/88 + (346133*s[7])/132 - (365063*s[8])/2376 - 
       (472813*s[9])/216 - (213797*s[10])/216 - (2181895*s[11])/792 - 
       (1095931*s[12])/396 - (1235713*s[13])/792 - (659413*s[14])/792 - 
       (281555*s[15])/72 - (3794545*s[16])/792 - (1702631*s[17])/396 - 
       (290009*s[18])/648 - (177149*s[19])/324 - (20709917*s[20])/3564 - 
       (7712075*s[21])/3564 + (9696185*s[22])/7128 + (314849*s[23])/198 + 
       (11445607*s[24])/3564 - (420632777*s[25])/128304 + 
       (255624833*s[26])/128304 - 6*s[31] - s[32] + (9*s[33])/2 + 10*s[34] + 
       s[35] - 4*s[36] - (307*s[37])/12 + 15*s[38] - (253*s[39])/2 + 
       (361*s[40])/2 - (361*s[41])/2 + 192*s[42] + (3793*s[43])/22 - 
       (18179*s[44])/88 + (67147*s[45])/264 - (495457*s[46])/264 - 
       (1119*s[47])/22 + (2273*s[48])/11 - (19721*s[49])/22 + 
       (35845*s[50])/22 + (3367*s[51])/22 + (5265*s[52])/88 - 
       (865115*s[53])/792 - (16585*s[54])/66 - (473659*s[55])/66 - 
       (694973*s[56])/396 - (145427*s[57])/594 - (16916315*s[58])/7128 + 
       (2231797*s[59])/891 + (26895623*s[60])/1584 - (116919169*s[61])/
        128304 + s[62]/2 - 2*s[66] + 2*s[67] - 2*s[68] + 6*s[69] + 2*s[70] + 
       2*s[72] - 2*s[73] - (3*s[74])/2 + (3*s[75])/2 + 8*s[76] - 5*s[77] + 
       s[78] + 56*s[79] - (157*s[80])/6 + 128*s[82] + 12*s[84] + 40*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[u, v, w]*((13*s[2])/2 + 
       (113*s[3])/6 + (2031*s[4])/8 + (49627*s[5])/264 + (43519*s[6])/88 + 
       (97853*s[7])/22 - (2351837*s[8])/7128 - (2431585*s[9])/648 - 
       (823913*s[10])/648 - (23236625*s[11])/4752 - (25160695*s[12])/4752 - 
       (3777809*s[13])/1188 - (1573969*s[14])/2376 - (644059*s[15])/108 - 
       (18051991*s[16])/2376 - (28292543*s[17])/4752 - (1511333*s[18])/1944 - 
       (1465441*s[19])/1944 - (95897921*s[20])/10692 - (8641748*s[21])/2673 + 
       (25005733*s[22])/10692 + (21624853*s[23])/4752 + 
       (215359081*s[24])/42768 - (2378890601*s[25])/384912 + 
       (1309061033*s[26])/384912 - s[30]/6 + s[31] - s[32]/3 + s[33]/24 - 
       (5*s[34])/6 - (5*s[35])/3 - 10*s[36] - (41*s[37])/18 + (446*s[38])/3 - 
       (2255*s[39])/4 + (2559*s[40])/4 - (6221*s[41])/12 + (3161*s[42])/4 + 
       (74389*s[43])/132 - (50683*s[44])/88 + (259145*s[45])/396 - 
       (487958*s[46])/99 + (20821*s[47])/198 + (100613*s[48])/396 - 
       (1023065*s[49])/396 + (510161*s[50])/132 + (53819*s[51])/99 + 
       (331055*s[52])/792 - (784099*s[53])/297 - (11510*s[54])/99 - 
       (6689285*s[55])/396 - (5103311*s[56])/1188 + (2783354*s[57])/891 - 
       (77986831*s[58])/10692 + (79651435*s[59])/10692 + 
       (16438649*s[60])/396 - (413059979*s[61])/192456 - 2*s[68] + 2*s[69] + 
       2*s[70] - s[71] + 2*s[72] - (11*s[74])/6 + (11*s[75])/6 - 2*s[76] - 
       (11*s[77])/3 + (2*s[78])/3 + (128*s[79])/3 - (35*s[80])/9 + 
       122*s[82] + 24*s[84] + 40*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - w]*((101*s[2])/6 - (71*s[3])/4 + (1327*s[4])/24 + 
       (34399*s[5])/132 + (99391*s[6])/264 + (17865031*s[7])/4752 - 
       (1371281*s[8])/7128 - (266438*s[9])/81 - (218273*s[10])/162 - 
       (18613349*s[11])/4752 - (2312771*s[12])/594 - (10189375*s[13])/4752 - 
       (6232649*s[14])/4752 - (2396897*s[15])/432 - (7940299*s[16])/1188 - 
       (9533729*s[17])/1584 - (194134*s[18])/243 - (1077625*s[19])/1944 - 
       (181761889*s[20])/21384 - (144616595*s[21])/42768 + 
       (85027795*s[22])/42768 + (2869289*s[23])/1188 + 
       (22885745*s[24])/5346 - (863199157*s[25])/192456 + 
       (557938489*s[26])/192456 - (2*s[30])/3 + (16*s[31])/3 - (16*s[32])/3 + 
       (2*s[33])/3 - (13*s[34])/3 + (62*s[35])/3 - (329*s[36])/18 - 
       (77*s[37])/18 + (184*s[38])/3 - (5939*s[39])/24 + (18077*s[40])/72 - 
       (5135*s[41])/24 + (26293*s[42])/72 + (141391*s[43])/792 - 
       (294995*s[44])/1584 + (132203*s[45])/396 - (1816835*s[46])/792 + 
       (702751*s[47])/4752 - (383411*s[48])/4752 - (4365277*s[49])/4752 + 
       (361717*s[50])/198 + (1278341*s[51])/4752 + (1006205*s[52])/4752 - 
       (3069613*s[53])/2376 - (15340*s[54])/99 - (12947087*s[55])/1584 - 
       (3361333*s[56])/1584 + (947113*s[57])/594 - (16686277*s[58])/4752 + 
       (16569887*s[59])/4752 + (525669559*s[60])/28512 - 
       (141381143*s[61])/128304 + (11*s[62])/3 - 2*s[66] + 2*s[67] + 
       9*s[68] + s[69] + 2*s[70] + (14*s[72])/3 - 6*s[73] - (25*s[74])/6 + 
       (25*s[75])/6 - (5*s[76])/3 + 4*s[77] + (19*s[78])/3 - 4*s[79] + 
       (91*s[80])/9 + 108*s[82] - 2*s[83] + 28*s[84] + 40*s[85]) + 
     HPL[{0, 0, 1}, 1 - u]*Omega2[v, w, u]*((7*s[2])/2 + (35*s[3])/2 + 
       (1955*s[4])/4 + (697*s[5])/2 + (3509*s[6])/4 + (139145*s[7])/18 - 
       (18493*s[8])/27 - (704035*s[9])/108 - (203147*s[10])/108 - 
       (153895*s[11])/18 - (341689*s[12])/36 - (205705*s[13])/36 - 
       (7451*s[14])/9 - (90448*s[15])/9 - (465517*s[16])/36 - 
       (58013*s[17])/6 - (492761*s[18])/324 - (76960*s[19])/81 - 
       (4934735*s[20])/324 - (906757*s[21])/162 + (1318273*s[22])/324 + 
       (359093*s[23])/36 + (2630821*s[24])/324 - (31828877*s[25])/2916 + 
       (4393352*s[26])/729 - 2*s[29] + 2*s[30] + 4*s[31] - s[32]/2 - 
       6*s[34] - 4*s[35] - (76*s[36])/3 + 38*s[37] + 286*s[38] - 
       (2339*s[39])/2 + (7769*s[40])/6 - (1971*s[41])/2 + (10249*s[42])/6 + 
       (5597*s[43])/6 - (3076*s[44])/3 + 1081*s[45] - (51569*s[46])/6 + 
       (4559*s[47])/9 - (1013*s[48])/18 - (38351*s[49])/9 + (19387*s[50])/3 + 
       (20957*s[51])/18 + (17639*s[52])/18 - (80677*s[53])/18 + 
       (932*s[54])/3 - (170093*s[55])/6 - (71249*s[56])/9 + 
       (280898*s[57])/27 - (2313425*s[58])/162 + (2305685*s[59])/162 + 
       (3712469*s[60])/54 - (2783656*s[61])/729 - 4*s[66] + 4*s[67] + 
       6*s[68] + 4*s[69] + 8*s[72] - 4*s[73] - 6*s[74] + 6*s[75] - 6*s[76] + 
       16*s[78] + 100*s[79] - 24*s[80] + 116*s[82] - 3*s[83] + 30*s[84] + 
       40*s[85]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*(6*s[2] + (199*s[3])/12 + (5597*s[4])/16 + 
       (164147*s[5])/528 + (1113745*s[6])/1584 + (30593645*s[7])/4752 - 
       (7082137*s[8])/14256 - (7064807*s[9])/1296 - (2326657*s[10])/1296 - 
       (66435727*s[11])/9504 - (71462843*s[12])/9504 - (7059949*s[13])/1584 - 
       (1251995*s[14])/1188 - (421427*s[15])/48 - (17371427*s[16])/1584 - 
       (83058125*s[17])/9504 - (4620229*s[18])/3888 - (3837209*s[19])/3888 - 
       (34973612*s[20])/2673 - (204756941*s[21])/42768 + 
       (144318373*s[22])/42768 + (7261445*s[23])/1056 + 
       (608772293*s[24])/85536 - (6768257563*s[25])/769824 + 
       (3798161263*s[26])/769824 + s[30]/12 + (3*s[31])/2 - (7*s[32])/12 - 
       (25*s[33])/48 - (7*s[34])/12 - (5*s[35])/6 - 12*s[36] + 
       (841*s[37])/36 + (1183*s[38])/6 - (6375*s[39])/8 + (21637*s[40])/24 - 
       (17047*s[41])/24 + (82319*s[42])/72 + (591647*s[43])/792 - 
       (1218625*s[44])/1584 + (254699*s[45])/264 - (1404229*s[46])/198 + 
       (529805*s[47])/2376 + (214165*s[48])/1188 - (4043233*s[49])/1188 + 
       (4365473*s[50])/792 + (1850215*s[51])/2376 + (2982323*s[52])/4752 - 
       (512839*s[53])/132 + (12715*s[54])/132 - (29590091*s[55])/1188 - 
       (3828307*s[56])/594 + (7747111*s[57])/1782 - (28170160*s[58])/2673 + 
       (115379569*s[59])/10692 + (838061615*s[60])/14256 - 
       (1227963823*s[61])/384912 + s[70] - s[71]/2 + 3*s[72] - 
       (37*s[74])/12 + (37*s[75])/12 - 3*s[76] - (7*s[77])/6 + (5*s[78])/3 + 
       (224*s[79])/3 - (337*s[80])/18 + (485*s[82])/3 + 36*s[84] + 
       40*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]^2*((41*s[2])/12 + 42*s[3] + (8059*s[4])/12 + 
       (143911*s[5])/264 + (163739*s[6])/132 + (54626117*s[7])/4752 - 
       (6382349*s[8])/7128 - (1573867*s[9])/162 - (1009465*s[10])/324 - 
       (59627273*s[11])/4752 - (64736533*s[12])/4752 - 
       (12787493*s[13])/1584 - (4128571*s[14])/2376 - (2231735*s[15])/144 - 
       (30864703*s[16])/1584 - (72607915*s[17])/4752 - (2054899*s[18])/972 - 
       (1731251*s[19])/972 - (993331877*s[20])/42768 - 
       (358105505*s[21])/42768 + (128897597*s[22])/21384 + 
       (5014021*s[23])/396 + (135345031*s[24])/10692 - 
       (6117601373*s[25])/384912 + (844082399*s[26])/96228 + (5*s[30])/6 - 
       (7*s[31])/3 + (13*s[32])/6 - (17*s[33])/8 + (8*s[34])/3 - 4*s[35] - 
       (113*s[36])/9 + (367*s[37])/18 + (1183*s[38])/3 - (9091*s[39])/6 + 
       (30805*s[40])/18 - (8143*s[41])/6 + (19471*s[42])/9 + 
       (267269*s[43])/198 - (576655*s[44])/396 + (672479*s[45])/396 - 
       (559521*s[46])/44 + (1118125*s[47])/2376 + (741793*s[48])/2376 - 
       (14959507*s[49])/2376 + (3896989*s[50])/396 + (3684713*s[51])/2376 + 
       (1410943*s[52])/1188 - (5437145*s[53])/792 + (22465*s[54])/132 - 
       (34744319*s[55])/792 - (26928089*s[56])/2376 + (8096905*s[57])/891 - 
       (409784845*s[58])/21384 + (415995961*s[59])/21384 + 
       (1498291909*s[60])/14256 - (1078561069*s[61])/192456 - 2*s[68] + 
       2*s[69] + 4*s[70] - (10*s[71])/3 + (4*s[72])/3 + 5*s[73] - 
       (23*s[74])/3 + 7*s[75] + (14*s[76])/3 - (16*s[77])/3 - s[78] + 
       143*s[79] - (305*s[80])/9 + 219*s[82] + s[83] + 45*s[84] + 40*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      (s[2]/3 - (47*s[3])/3 + 528*s[4] + (14969*s[5])/44 + 
       (445123*s[6])/528 + (38568451*s[7])/4752 - (9841673*s[8])/14256 - 
       (8933923*s[9])/1296 - (665075*s[10])/324 - (84455945*s[11])/9504 - 
       (93023737*s[12])/9504 - (4611113*s[13])/792 - (4238989*s[14])/4752 - 
       (1540013*s[15])/144 - (10721791*s[16])/792 - (97178659*s[17])/9504 - 
       (5954135*s[18])/3888 - (4216519*s[19])/3888 - (687376057*s[20])/
        42768 - (61171741*s[21])/10692 + (91866337*s[22])/21384 + 
       (31631197*s[23])/3168 + (737255023*s[24])/85536 - 
       (8769342575*s[25])/769824 + (4751705873*s[26])/769824 - s[30]/3 + 
       (2*s[31])/3 - (8*s[32])/3 - (53*s[33])/12 - 3*s[34] - (17*s[35])/3 - 
       (286*s[36])/9 + (71*s[37])/9 + (1637*s[38])/6 - (4645*s[39])/4 + 
       (47965*s[40])/36 - 1084*s[41] + (15338*s[42])/9 + (393629*s[43])/396 - 
       (219553*s[44])/198 + (114482*s[45])/99 - (3663007*s[46])/396 + 
       (1698013*s[47])/4752 + (782923*s[48])/4752 - (21755101*s[49])/4752 + 
       (5693191*s[50])/792 + (5827979*s[51])/4752 + (565489*s[52])/594 - 
       (1468922*s[53])/297 + (113633*s[54])/396 - (49581715*s[55])/1584 - 
       (4430191*s[56])/528 + (2493154*s[57])/297 - (205882999*s[58])/14256 + 
       (207436321*s[59])/14256 + (2154274231*s[60])/28512 - 
       (86291309*s[61])/21384 + (2*s[62])/3 - 3*s[68] + 4*s[69] - 2*s[70] - 
       (5*s[71])/6 + (4*s[72])/3 - (49*s[74])/6 + (49*s[75])/6 + 
       (20*s[76])/3 - 2*s[77] - (13*s[78])/3 + (470*s[79])/3 - 
       (419*s[80])/9 + (263*s[82])/2 + 5*s[83] + 88*s[84] + 40*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*
      ((119*s[2])/12 - (1405*s[3])/72 + (85607*s[4])/72 + (690007*s[5])/792 + 
       (1675337*s[6])/792 + (137277007*s[7])/7128 - (22114061*s[8])/14256 - 
       (10595915*s[9])/648 - (1587833*s[10])/324 - (33621263*s[11])/1584 - 
       (27718253*s[12])/1188 - (200920231*s[13])/14256 - 
       (3624997*s[14])/1584 - (32788961*s[15])/1296 - 
       (229436579*s[16])/7128 - (21729911*s[17])/891 - (4675025*s[18])/1296 - 
       (573869*s[19])/216 - (135709297*s[20])/3564 - (593742785*s[21])/
        42768 + (217608949*s[22])/21384 + (40962931*s[23])/1782 + 
       (886272869*s[24])/42768 - (20817140701*s[25])/769824 + 
       (11450073181*s[26])/769824 + (7*s[30])/9 + (47*s[31])/18 - 
       (49*s[32])/8 - (99*s[33])/8 - (185*s[34])/18 - (41*s[35])/3 - 
       (10229*s[36])/216 + (18733*s[37])/216 + (54091*s[38])/72 - 
       (93879*s[39])/32 + (2834873*s[40])/864 - (745993*s[41])/288 + 
       (3637111*s[42])/864 + (24963403*s[43])/9504 - (51917495*s[44])/19008 + 
       (3383519*s[45])/1188 - (215992757*s[46])/9504 + 
       (52857877*s[47])/57024 + (25337131*s[48])/57024 - 
       (672971911*s[49])/57024 + (41396527*s[50])/2376 + 
       (163664327*s[51])/57024 + (133814129*s[52])/57024 - 
       (343267411*s[53])/28512 + (2344289*s[54])/4752 - 
       (483308291*s[55])/6336 - (381657983*s[56])/19008 + 
       (49594075*s[57])/2376 - (6074226281*s[58])/171072 + 
       (6169405703*s[59])/171072 + (63682509553*s[60])/342144 - 
       (14860316755*s[61])/1539648 - (8*s[66])/3 + (8*s[67])/3 - 
       (14*s[68])/3 + 10*s[69] - (11*s[70])/2 - (27*s[71])/8 + (29*s[72])/3 - 
       (59*s[73])/9 - (155*s[74])/12 + (301*s[75])/24 - 3*s[76] + 
       (14*s[77])/9 + (85*s[78])/9 + 273*s[79] - (3181*s[80])/54 - 
       (89*s[82])/2 - (11*s[83])/6 + (237*s[84])/2 + (127*s[85])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*
      ((11*s[2])/3 + (61*s[3])/4 + (129*s[4])/8 + (8879*s[5])/88 + 
       (10015*s[6])/66 + (4901443*s[7])/3168 - (320209*s[8])/4752 - 
       (571427*s[9])/432 - (273925*s[10])/432 - (5027095*s[11])/3168 - 
       (599719*s[12])/396 - (862249*s[13])/1056 - (1969357*s[14])/3168 - 
       (708713*s[15])/288 - (1513511*s[16])/528 - (8689889*s[17])/3168 - 
       (155603*s[18])/648 - (494639*s[19])/1296 - (51232523*s[20])/14256 - 
       (38460853*s[21])/28512 + (22774373*s[22])/28512 + (229577*s[23])/528 + 
       (3596237*s[24])/1782 - (117490855*s[25])/64152 + 
       (37016237*s[26])/32076 - s[30] + s[32] + (5*s[33])/3 + (7*s[34])/3 + 
       (8*s[35])/3 + (23*s[36])/9 - (289*s[37])/36 + 7*s[38] - 
       (313*s[39])/12 + (1603*s[40])/36 - (577*s[41])/12 + (569*s[42])/36 + 
       (12878*s[43])/99 - (170069*s[44])/1584 + (119203*s[45])/396 - 
       (70921*s[46])/44 - (442655*s[47])/4752 + (1095673*s[48])/4752 - 
       (3194905*s[49])/4752 + (555179*s[50])/396 - (9157*s[51])/4752 - 
       (201295*s[52])/4752 - (828083*s[53])/792 - (8761*s[54])/33 - 
       (11123951*s[55])/1584 - (6928355*s[56])/4752 - (17197109*s[57])/7128 - 
       (61655491*s[58])/42768 + (72981757*s[59])/42768 + 
       (437250823*s[60])/28512 - (323034529*s[61])/384912 + 4*s[70] + 
       (5*s[74])/6 - (5*s[75])/6 - 4*s[77] - (16*s[79])/3 + (8*s[80])/9 + 
       244*s[82] + 44*s[85]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      Omega2[v, w, u]*(9*s[2] + (299*s[3])/12 + (3661*s[4])/8 + 
       (13459*s[5])/33 + (31447*s[6])/33 + (13417007*s[7])/1584 - 
       (590858*s[8])/891 - (4638353*s[9])/648 - (756839*s[10])/324 - 
       (10948255*s[11])/1188 - (47258621*s[12])/4752 - 
       (28062769*s[13])/4752 - (6695617*s[14])/4752 - (4944983*s[15])/432 - 
       (34249883*s[16])/2376 - (13603543*s[17])/1188 - (3081775*s[18])/1944 - 
       (611561*s[19])/486 - (91833569*s[20])/5346 - (269120293*s[21])/42768 + 
       (189809285*s[22])/42768 + (43467785*s[23])/4752 + 
       (399559085*s[24])/42768 - (4461898081*s[25])/384912 + 
       (2502674599*s[26])/384912 - s[30]/3 + 2*s[31] - (5*s[32])/3 - 
       (29*s[33])/12 + (4*s[34])/3 + (5*s[35])/3 - (41*s[36])/3 + 
       (521*s[37])/18 + (1435*s[38])/6 - (12107*s[39])/12 + 
       (13723*s[40])/12 - (10597*s[41])/12 + (17627*s[42])/12 + 
       (117383*s[43])/132 - (62585*s[44])/66 + (448681*s[45])/396 - 
       (1682969*s[46])/198 + (92383*s[47])/264 + (10327*s[48])/88 - 
       (1062461*s[49])/264 + (858829*s[50])/132 + (805535*s[51])/792 + 
       (35985*s[52])/44 - (5441321*s[53])/1188 + (29273*s[54])/99 - 
       (23139569*s[55])/792 - (18677963*s[56])/2376 + (24894481*s[57])/3564 - 
       (281426443*s[58])/21384 + (284046955*s[59])/21384 + 
       (329616751*s[60])/4752 - (740700157*s[61])/192456 + 2*s[68] - 
       2*s[69] - 2*s[70] + 4*s[72] - (25*s[74])/6 + (25*s[75])/6 - 4*s[76] + 
       (8*s[77])/3 + (10*s[78])/3 + (316*s[79])/3 - (307*s[80])/9 + 
       205*s[82] + 48*s[84] + 44*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      Omega2[w, u, v]*((15*s[2])/4 + (183*s[3])/8 + (8209*s[4])/16 + 
       (3500*s[5])/11 + (154411*s[6])/176 + (25347749*s[7])/3168 - 
       (1061743*s[8])/1584 - (485419*s[9])/72 - (149561*s[10])/72 - 
       (3107263*s[11])/352 - (2568887*s[12])/264 - (18531145*s[13])/3168 - 
       (314855*s[14])/352 - (3017735*s[15])/288 - (1328606*s[16])/99 - 
       (32132213*s[17])/3168 - (103865*s[18])/72 - (57377*s[19])/48 - 
       (25034819*s[20])/1584 - (53132099*s[21])/9504 + 
       (40043063*s[22])/9504 + (936292*s[23])/99 + (20688233*s[24])/2376 - 
       (242321477*s[25])/21384 + (130389755*s[26])/21384 + (3*s[30])/2 + 
       2*s[31] + (5*s[33])/2 - (5*s[34])/2 + s[35]/2 - (26*s[36])/3 + 
       (65*s[37])/2 + (519*s[38])/2 - (8533*s[39])/8 + (29215*s[40])/24 - 
       (7551*s[41])/8 + (37091*s[42])/24 + (248921*s[43])/264 - 
       (267785*s[44])/264 + (12368*s[45])/11 - (2295155*s[46])/264 + 
       (278929*s[47])/792 + (68267*s[48])/396 - (3391339*s[49])/792 + 
       (219775*s[50])/33 + (432865*s[51])/396 + (171587*s[52])/198 - 
       (1811129*s[53])/396 + (15067*s[54])/66 - (641711*s[55])/22 - 
       (6246397*s[56])/792 + (18870847*s[57])/2376 - (97052969*s[58])/7128 + 
       (48506617*s[59])/3564 + (338530501*s[60])/4752 - 
       (490962127*s[61])/128304 + 2*s[66] - 2*s[67] + 2*s[68] - 7*s[69] + 
       3*s[70] + 3*s[72] - 3*s[73] - (19*s[74])/4 + (19*s[75])/4 - 7*s[76] - 
       s[77]/2 - s[78] + 138*s[79] - 43*s[80] + 208*s[82] + 3*s[83] + 
       66*s[84] + 44*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      Omega2[v, w, u]*((37*s[2])/4 + (47*s[3])/24 + (20071*s[4])/48 + 
       (10889*s[5])/33 + (437017*s[6])/528 + (72975145*s[7])/9504 - 
       (2749873*s[8])/4752 - (351913*s[9])/54 - (475307*s[10])/216 - 
       (26581025*s[11])/3168 - (7195715*s[12])/792 - (51320453*s[13])/9504 - 
       (4058381*s[14])/3168 - (8891527*s[15])/864 - (31064369*s[16])/2376 - 
       (97446661*s[17])/9504 - (447089*s[18])/324 - (1571113*s[19])/1296 - 
       (223239913*s[20])/14256 - (53603609*s[21])/9504 + 
       (115711247*s[22])/28512 + (18669301*s[23])/2376 + 
       (30657403*s[24])/3564 - (451375235*s[25])/42768 + 
       (250079903*s[26])/42768 - (2*s[30])/3 + s[31]/3 - s[32]/2 - 
       (21*s[33])/8 + (14*s[34])/3 - (11*s[35])/2 - (143*s[36])/18 + 
       (527*s[37])/36 + (1291*s[38])/6 - 885*s[39] + (18599*s[40])/18 - 
       (9803*s[41])/12 + (11537*s[42])/9 + (7339*s[43])/9 - 
       (128605*s[44])/144 + (70973*s[45])/72 - (546031*s[46])/72 + 
       (102515*s[47])/432 + (109019*s[48])/432 - (1619201*s[49])/432 + 
       (53185*s[50])/9 + (399139*s[51])/432 + (306157*s[52])/432 - 
       (216563*s[53])/54 + (634*s[54])/9 - (412141*s[55])/16 - 
       (329231*s[56])/48 + (1286353*s[57])/216 - (15022553*s[58])/1296 + 
       (15034331*s[59])/1296 + (163573517*s[60])/2592 - 
       (12980017*s[61])/3888 + 2*s[66] - 2*s[67] + s[68] - 5*s[69] + 
       5*s[70] + s[72] - (11*s[73])/3 - (17*s[74])/4 + (17*s[75])/4 - s[76] - 
       (17*s[77])/6 - (17*s[78])/3 + 144*s[79] - (901*s[80])/18 + 212*s[82] + 
       5*s[83] + 66*s[84] + 44*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      Omega2[u, v, w]*((45*s[2])/4 - (325*s[3])/24 + (41023*s[4])/48 + 
       (6877*s[5])/12 + (70379*s[6])/48 + (11561603*s[7])/864 - 
       (482303*s[8])/432 - (612355*s[9])/54 - (725795*s[10])/216 - 
       (4251343*s[11])/288 - (586289*s[12])/36 - (8490703*s[13])/864 - 
       (413095*s[14])/288 - (15120703*s[15])/864 - (4822141*s[16])/216 - 
       (14482955*s[17])/864 - (823835*s[18])/324 - (2281153*s[19])/1296 - 
       (34135655*s[20])/1296 - (2760025*s[21])/288 + (18350317*s[22])/2592 + 
       (1787797*s[23])/108 + (9221113*s[24])/648 - (73331219*s[25])/3888 + 
       (40187639*s[26])/3888 + (7*s[30])/3 + (19*s[31])/3 - (11*s[32])/2 + 
       (17*s[33])/8 - (37*s[34])/3 - (19*s[35])/2 - (791*s[36])/18 + 
       (1511*s[37])/36 + (3067*s[38])/6 - 2069*s[39] + (41783*s[40])/18 - 
       (22103*s[41])/12 + (27053*s[42])/9 + (176201*s[43])/99 - 
       (3030821*s[44])/1584 + (1504687*s[45])/792 - (12314285*s[46])/792 + 
       (3308815*s[47])/4752 + (909319*s[48])/4752 - (38357221*s[49])/4752 + 
       (2364649*s[50])/198 + (9860999*s[51])/4752 + (7981397*s[52])/4752 - 
       (2433665*s[53])/297 + (75655*s[54])/198 - (27344723*s[55])/528 - 
       (21861193*s[56])/1584 + (37933249*s[57])/2376 - 
       (39230293*s[58])/1584 + (118974373*s[59])/4752 + 
       (3608179357*s[60])/28512 - (847726523*s[61])/128304 - 2*s[66] + 
       2*s[67] - 3*s[68] + 7*s[69] - 7*s[70] - 2*s[71] + 9*s[72] - 
       (11*s[73])/3 - (45*s[74])/4 + (45*s[75])/4 - 5*s[76] + (7*s[77])/6 + 
       (31*s[78])/3 + 212*s[79] - (745*s[80])/18 + 56*s[82] + 2*s[83] + 
       96*s[84] + 44*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      Omega2[v, w, u]*((-59*s[2])/12 + (719*s[3])/24 + (41561*s[4])/48 + 
       (127619*s[5])/264 + (715937*s[6])/528 + (38890771*s[7])/3168 - 
       (5078057*s[8])/4752 - (277948*s[9])/27 - (330251*s[10])/108 - 
       (42883997*s[11])/3168 - (5925959*s[12])/396 - (28706767*s[13])/3168 - 
       (3569393*s[14])/3168 - (4623509*s[15])/288 - (8109353*s[16])/396 - 
       (5419411*s[17])/352 - (177050*s[18])/81 - (2366245*s[19])/1296 - 
       (339877741*s[20])/14256 - (238294715*s[21])/28512 + 
       (183841963*s[22])/28512 + (6014719*s[23])/396 + 
       (94383649*s[24])/7128 - (2250481873*s[25])/128304 + 
       (1193917693*s[26])/128304 + (13*s[30])/6 - (8*s[31])/3 + s[32]/6 - 
       (85*s[33])/12 + (13*s[34])/6 - (65*s[35])/6 - (185*s[36])/6 + 
       (601*s[37])/12 + (909*s[38])/2 - (10913*s[39])/6 + (6182*s[40])/3 - 
       (19553*s[41])/12 + (15769*s[42])/6 + (9733*s[43])/6 - 
       (82523*s[44])/48 + (45371*s[45])/24 - (352621*s[46])/24 + 
       (81493*s[47])/144 + (44773*s[48])/144 - (1048711*s[49])/144 + 
       (33905*s[50])/3 + (267245*s[51])/144 + (213395*s[52])/144 - 
       (141103*s[53])/18 + (1517*s[54])/3 - (7159585*s[55])/144 - 
       (637451*s[56])/48 + (904519*s[57])/72 - (3271781*s[58])/144 + 
       (1100189*s[59])/48 + (103923643*s[60])/864 - (24906257*s[61])/3888 + 
       2*s[66] - 2*s[67] - 3*s[68] - s[69] + s[70] - 2*s[71] + (11*s[72])/3 - 
       3*s[73] - (107*s[74])/12 + (107*s[75])/12 - (11*s[76])/3 - 
       (5*s[77])/2 - (17*s[78])/3 + 204*s[79] - (307*s[80])/6 + 71*s[82] + 
       4*s[83] + 112*s[84] + 44*s[85]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*((49*s[2])/8 + (5381*s[3])/144 + 
       (279793*s[4])/288 + (1044913*s[5])/1584 + (5430131*s[6])/3168 + 
       (868632109*s[7])/57024 - (36500231*s[8])/28512 - 
       (16659119*s[9])/1296 - (2478899*s[10])/648 - (106446407*s[11])/6336 - 
       (88000843*s[12])/4752 - (634995239*s[13])/57024 - 
       (10581083*s[14])/6336 - (103583779*s[15])/5184 - 
       (725408677*s[16])/28512 - (1093266949*s[17])/57024 - 
       (7733411*s[18])/2592 - (282199*s[19])/144 - (428314187*s[20])/14256 - 
       (1888938187*s[21])/171072 + (1370665099*s[22])/171072 + 
       (273265891*s[23])/14256 + (345141737*s[24])/21384 - 
       (8248728913*s[25])/384912 + (1142826547*s[26])/96228 + (19*s[30])/18 + 
       (91*s[31])/18 - (25*s[32])/6 + (59*s[33])/24 - (347*s[34])/36 - 
       (3*s[35])/4 - (4907*s[36])/108 + (2701*s[37])/108 + (6899*s[38])/12 - 
       (41993*s[39])/18 + (280703*s[40])/108 - (147713*s[41])/72 + 
       (91573*s[42])/27 + (2376331*s[43])/1188 - (40017271*s[44])/19008 + 
       (10388713*s[45])/4752 - (83516993*s[46])/4752 + 
       (46773545*s[47])/57024 + (9039233*s[48])/57024 - 
       (514672679*s[49])/57024 + (31904393*s[50])/2376 + 
       (132249313*s[51])/57024 + (109051879*s[52])/57024 - 
       (132048151*s[53])/14256 + (2162983*s[54])/4752 - 
       (371455993*s[55])/6336 - (298611079*s[56])/19008 + 
       (175601755*s[57])/9504 - (4823915215*s[58])/171072 + 
       (4871485873*s[59])/171072 + (48752286041*s[60])/342144 - 
       (11689546541*s[61])/1539648 + s[62]/4 - (5*s[66])/6 + (5*s[67])/6 - 
       (11*s[68])/6 + (7*s[69])/2 - 6*s[70] - (9*s[71])/4 + (55*s[72])/6 - 
       (17*s[73])/18 - (241*s[74])/24 + (241*s[75])/24 - (19*s[76])/3 - 
       (11*s[77])/36 + (175*s[78])/18 + 196*s[79] - (934*s[80])/27 + 
       75*s[82] - (17*s[83])/12 + (169*s[84])/2 + (134*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^3*((373*s[2])/48 + (421*s[3])/96 + 
       (40641*s[4])/64 + (513697*s[5])/1056 + (840969*s[6])/704 + 
       (136831097*s[7])/12672 - (5461777*s[8])/6336 - (164551*s[9])/18 - 
       (414871*s[10])/144 - (49958213*s[11])/4224 - (1702003*s[12])/132 - 
       (97844605*s[13])/12672 - (2115227*s[14])/1408 - 
       (16535647*s[15])/1152 - (14413789*s[16])/792 - 
       (178399865*s[17])/12672 - (16361*s[18])/8 - (873307*s[19])/576 - 
       (15219439*s[20])/704 - (300428795*s[21])/38016 + 
       (216269459*s[22])/38016 + (9821249*s[23])/792 + 
       (111106181*s[24])/9504 - (2560481569*s[25])/171072 + 
       (1422363133*s[26])/171072 - s[30]/24 + (5*s[31])/6 - 3*s[32] - 
       (167*s[33])/48 - (27*s[34])/8 - (181*s[35])/24 - (661*s[36])/24 + 
       (1789*s[37])/48 + (8749*s[38])/24 - 1497*s[39] + (40631*s[40])/24 - 
       (64375*s[41])/48 + (52081*s[42])/24 + (44129*s[43])/33 - 
       (3003245*s[44])/2112 + (546737*s[45])/352 - (12828521*s[46])/1056 + 
       (3010079*s[47])/6336 + (1525871*s[48])/6336 - (38495981*s[49])/6336 + 
       (619475*s[50])/66 + (9494663*s[51])/6336 + (7578613*s[52])/6336 - 
       (1284893*s[53])/198 + (18209*s[54])/88 - (261434099*s[55])/6336 - 
       (23043881*s[56])/2112 + (32834959*s[57])/3168 - 
       (357211637*s[58])/19008 + (361573871*s[59])/19008 + 
       (3789547061*s[60])/38016 - (302433937*s[61])/57024 - s[66] + 
       (13*s[67])/12 - s[68] + 3*s[69] - (7*s[71])/6 + (73*s[72])/12 - 
       (3*s[73])/4 - (337*s[74])/48 + (335*s[75])/48 - (7*s[76])/6 - 
       (11*s[77])/8 + (65*s[78])/12 + (487*s[79])/3 - (1021*s[80])/24 + 
       (285*s[82])/2 - s[83]/4 + (125*s[84])/2 + 45*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((461*s[2])/36 + (1039*s[3])/72 + (65155*s[4])/144 + 
       (436229*s[5])/1584 + (1441597*s[6])/1584 + (70267873*s[7])/9504 - 
       (8232937*s[8])/14256 - (2034515*s[9])/324 - (2433997*s[10])/1296 - 
       (4866163*s[11])/594 - (86463779*s[12])/9504 - (17308847*s[13])/3168 - 
       (10787875*s[14])/9504 - (303099*s[15])/32 - (2174437*s[16])/176 - 
       (43597663*s[17])/4752 - (5742625*s[18])/3888 - (3245165*s[19])/3888 - 
       (640236533*s[20])/42768 - (466625449*s[21])/85536 + 
       (334977479*s[22])/85536 + (8914963*s[23])/1056 + 
       (675992387*s[24])/85536 - (993739745*s[25])/96228 + 
       (2228764589*s[26])/384912 + (16*s[30])/9 + (17*s[31])/9 + 
       (65*s[32])/18 + (311*s[33])/72 - (17*s[34])/9 + (58*s[35])/9 - 
       (337*s[36])/36 - (69*s[37])/4 + (1017*s[38])/4 - (128039*s[39])/144 + 
       (50585*s[40])/48 - (125989*s[41])/144 + (183665*s[42])/144 + 
       (443411*s[43])/528 - (450049*s[44])/528 + (757279*s[45])/792 - 
       (11587501*s[46])/1584 + (221623*s[47])/792 + (500677*s[48])/1584 - 
       (962495*s[49])/264 + (494135*s[50])/88 + (1507609*s[51])/1584 + 
       (616801*s[52])/792 - (733135*s[53])/198 + (9569*s[54])/88 - 
       (114638575*s[55])/4752 - (1788779*s[56])/264 + (34681067*s[57])/4752 - 
       (167927497*s[58])/14256 + (165115285*s[59])/14256 + 
       (24156751*s[60])/396 - (413639863*s[61])/128304 + (5*s[62])/2 - 
       s[64] + (5*s[65])/3 + (2*s[66])/3 - (4*s[67])/3 - 2*s[68] + 
       (2*s[69])/3 + (65*s[70])/3 - (35*s[71])/6 - (8*s[72])/9 + 
       (41*s[73])/6 - (13*s[74])/9 + (29*s[75])/18 - (22*s[76])/9 - 
       (77*s[77])/3 - (203*s[78])/18 + (425*s[79])/3 - (65*s[80])/9 - 
       s[81]/6 - 19*s[82] - (101*s[83])/6 + (83*s[84])/3 + (140*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - w]*
      (4*s[2] + 27*s[3] - (39*s[4])/2 + (241*s[5])/4 + 165*s[6] + 
       (8965*s[7])/12 - (281*s[8])/18 - (21343*s[9])/36 - (6379*s[10])/18 - 
       (17653*s[11])/24 - (1933*s[12])/3 - (3949*s[13])/12 - 
       (13285*s[14])/24 - (3569*s[15])/3 - (4441*s[16])/3 - (6197*s[17])/4 - 
       (38329*s[18])/216 - (30119*s[19])/216 - (406945*s[20])/216 - 
       (168853*s[21])/216 + (75719*s[22])/216 - (1357*s[23])/12 + 
       (218165*s[24])/216 - (185399*s[25])/243 + (146321*s[26])/243 + 
       4*s[33] + 8*s[34] + 16*s[35] + (28*s[36])/3 - (97*s[37])/3 - 
       29*s[38] + 98*s[39] - (286*s[40])/3 + 64*s[41] - (973*s[42])/6 + 
       (139*s[43])/6 + (413*s[44])/24 + (1193*s[45])/6 - 787*s[46] - 
       (10375*s[47])/72 + (18017*s[48])/72 - (2353*s[49])/36 + 
       (3661*s[50])/6 - (4933*s[51])/36 - (6905*s[52])/72 - (2059*s[53])/4 + 
       (77*s[54])/4 - (30517*s[55])/8 - (19987*s[56])/18 - (63856*s[57])/27 - 
       (38956*s[58])/81 + (42529*s[59])/81 + (792323*s[60])/108 - 
       (3882557*s[61])/5832 + 2*s[74] - 2*s[75] - 32*s[79] + (16*s[80])/3 + 
       228*s[82] + 48*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1, 1}, 1 - v]*(4*s[2] + 27*s[3] - (105*s[4])/2 + 
       (2307*s[5])/44 + (7889*s[6])/88 + (378097*s[7])/792 + 
       (81349*s[8])/2376 - (79579*s[9])/216 - (36049*s[10])/108 - 
       (719945*s[11])/1584 - (506023*s[12])/1584 - (9253*s[13])/88 - 
       (216881*s[14])/396 - (21251*s[15])/24 - (134231*s[16])/132 - 
       (1955785*s[17])/1584 - (40687*s[18])/324 - (11519*s[19])/81 - 
       (10431535*s[20])/7128 - (2298485*s[21])/3564 + (1530563*s[22])/7128 - 
       (101867*s[23])/176 + (11788279*s[24])/14256 - 
       (45464321*s[25])/128304 + (51862421*s[26])/128304 - 4*s[30] + 
       4*s[34] + 16*s[35] + (28*s[36])/3 - (73*s[37])/3 - 30*s[38] + 
       148*s[39] - (436*s[40])/3 + 115*s[41] - (1501*s[42])/6 - 
       (247*s[43])/66 + (8755*s[44])/264 + (10507*s[45])/66 - 
       (4661*s[46])/11 - (18004*s[47])/99 + (61375*s[48])/198 + 
       (2117*s[49])/792 + (47731*s[50])/132 - (158227*s[51])/792 - 
       (128587*s[52])/792 - (13953*s[53])/44 - (4985*s[54])/44 - 
       (28756*s[55])/11 - (521579*s[56])/792 - (1820515*s[57])/594 + 
       (1544255*s[58])/7128 - (1022957*s[59])/7128 + (24369643*s[60])/4752 - 
       (28954561*s[61])/64152 + 2*s[74] - 2*s[75] - 32*s[79] + (16*s[80])/3 + 
       264*s[82] + 48*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u]*(4*s[2] + 27*s[3] - (141*s[4])/2 + 
       (2907*s[5])/44 + (10349*s[6])/88 + (38409*s[7])/88 + 
       (34271*s[8])/792 - (25673*s[9])/72 - (11189*s[10])/36 - 
       (208723*s[11])/528 - (138893*s[12])/528 - (3676*s[13])/33 - 
       (89245*s[14])/132 - (17989*s[15])/24 - (129703*s[16])/132 - 
       (632923*s[17])/528 - (4217*s[18])/27 - (7789*s[19])/108 - 
       (1711537*s[20])/1188 - (1608371*s[21])/2376 + (472237*s[22])/2376 - 
       (432829*s[23])/528 + (3265109*s[24])/4752 - (10370587*s[25])/42768 + 
       (16466305*s[26])/42768 + 4*s[33] + 8*s[34] + 16*s[35] + (28*s[36])/3 - 
       (49*s[37])/3 - 36*s[38] + 151*s[39] - (445*s[40])/3 + 115*s[41] - 
       (1501*s[42])/6 - (853*s[43])/66 + (11353*s[44])/264 + 
       (10393*s[45])/66 - (4370*s[46])/11 - (64351*s[47])/396 + 
       (128039*s[48])/396 + (38627*s[49])/792 + (41083*s[50])/132 - 
       (165613*s[51])/792 - (112489*s[52])/792 - (33799*s[53])/132 - 
       (1857*s[54])/44 - (104613*s[55])/44 - (597737*s[56])/792 - 
       (863597*s[57])/297 + (1135169*s[58])/7128 - (1381643*s[59])/7128 + 
       (22367641*s[60])/4752 - (30355591*s[61])/64152 + 2*s[74] - 2*s[75] - 
       32*s[79] + (16*s[80])/3 + 279*s[82] + 48*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
      (4*s[2] + 27*s[3] - (105*s[4])/2 + (2723*s[5])/44 + (6057*s[6])/88 + 
       (236165*s[7])/396 + (52891*s[8])/2376 - (103285*s[9])/216 - 
       (10963*s[10])/27 - (892979*s[11])/1584 - (646567*s[12])/1584 - 
       (15625*s[13])/132 - (441421*s[14])/792 - (3392*s[15])/3 - 
       (13809*s[16])/11 - (2365327*s[17])/1584 - (37699*s[18])/324 - 
       (71501*s[19])/324 - (12473365*s[20])/7128 - (4938673*s[21])/7128 + 
       (1012615*s[22])/3564 - (328693*s[23])/528 + (14745319*s[24])/14256 - 
       (64816013*s[25])/128304 + (57117521*s[26])/128304 - 4*s[30] + 
       4*s[34] + 16*s[35] + (28*s[36])/3 - (97*s[37])/3 - 36*s[38] + 
       151*s[39] - (445*s[40])/3 + 115*s[41] - (1501*s[42])/6 - 
       (2179*s[43])/66 + (6283*s[44])/264 + (12547*s[45])/66 - 
       (5990*s[46])/11 - (35003*s[47])/198 + (23765*s[48])/99 + 
       (21209*s[49])/792 + (72739*s[50])/132 - (138583*s[51])/792 - 
       (138331*s[52])/792 - (58457*s[53])/132 - (9313*s[54])/44 - 
       (74187*s[55])/22 - (534143*s[56])/792 - (2021539*s[57])/594 + 
       (1164563*s[58])/7128 - (480401*s[59])/7128 + (30304591*s[60])/4752 - 
       (33820285*s[61])/64152 + 2*s[74] - 2*s[75] - 32*s[79] + (16*s[80])/3 + 
       303*s[82] + 48*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1}, 1 - u]*(4*s[2] + 23*s[3] + (335*s[4])/4 + 
       (1355*s[5])/11 + (20979*s[6])/88 + (1954903*s[7])/792 - 
       (373523*s[8])/2376 - (446659*s[9])/216 - (23344*s[10])/27 - 
       (4135907*s[11])/1584 - (4236871*s[12])/1584 - (17075*s[13])/11 - 
       (491215*s[14])/792 - (28799*s[15])/8 - (584417*s[16])/132 - 
       (6173317*s[17])/1584 - (204731*s[18])/648 - (410443*s[19])/648 - 
       (37427383*s[20])/7128 - (1642229*s[21])/891 + (2284967*s[22])/1782 + 
       (240585*s[23])/176 + (45045283*s[24])/14256 - (417308585*s[25])/
        128304 + (232170791*s[26])/128304 - 3*s[30] + 4*s[34] + 
       (33*s[35])/2 - (29*s[36])/6 + (15*s[37])/8 - (17*s[38])/4 - 
       (755*s[39])/8 + (3353*s[40])/24 - (475*s[41])/4 + (919*s[42])/6 + 
       (48679*s[43])/264 - (96551*s[44])/528 + (172765*s[45])/528 - 
       (355303*s[46])/176 - (102743*s[47])/1584 + (322627*s[48])/1584 - 
       (1408387*s[49])/1584 + (216671*s[50])/132 + (96293*s[51])/1584 + 
       (20285*s[52])/1584 - (220139*s[53])/176 - (4573*s[54])/88 - 
       (1430251*s[55])/176 - (2990615*s[56])/1584 - (3342503*s[57])/2376 - 
       (15832799*s[58])/7128 + (36136591*s[59])/14256 + 
       (42550663*s[60])/2376 - (264163169*s[61])/256608 + s[62]/4 + 
       (15*s[71])/4 + s[74] - s[75] - 4*s[76] + 8*s[79] - (343*s[80])/12 + 
       282*s[82] + 12*s[84] + 48*s[85]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*(-9*s[2] - 72*s[3] + 
       35*s[4] - (933*s[5])/22 - (741*s[6])/11 + (545795*s[7])/792 - 
       (46771*s[8])/1188 - (70865*s[9])/108 - (33265*s[10])/108 - 
       (676903*s[11])/792 - (203729*s[12])/198 - (499277*s[13])/792 + 
       (53147*s[14])/792 - (58873*s[15])/72 - (465715*s[16])/396 - 
       (53785*s[17])/88 + (18307*s[18])/162 - (123287*s[19])/324 - 
       (2512351*s[20])/1782 - (1756339*s[21])/7128 + (3183857*s[22])/7128 - 
       (97153*s[23])/396 + (2275169*s[24])/1782 - (37029989*s[25])/32076 + 
       (6560443*s[26])/16038 - 6*s[30] - 4*s[31] - 9*s[32] + 8*s[34] - 
       2*s[35] + (26*s[36])/3 - (29*s[37])/3 + (83*s[38])/2 - (293*s[39])/4 + 
       (1663*s[40])/12 - (275*s[41])/2 + (155*s[42])/3 + (29069*s[43])/132 - 
       (64555*s[44])/264 + (21973*s[45])/132 - (15247*s[46])/11 - 
       (156769*s[47])/792 + (354797*s[48])/792 - (908081*s[49])/792 + 
       (178907*s[50])/132 + (27391*s[51])/792 - (16391*s[52])/792 - 
       (24493*s[53])/33 - (26073*s[54])/44 - (1408039*s[55])/264 - 
       (599323*s[56])/792 - (926657*s[57])/594 - (9246449*s[58])/7128 + 
       (11261639*s[59])/7128 + (74500565*s[60])/4752 - (3151765*s[61])/8019 + 
       (3*s[65])/2 + 4*s[66] - 4*s[67] - 18*s[68] - 2*s[70] + s[71]/2 - 
       4*s[72] + 2*s[74] - 3*s[75] + 5*s[76] - 12*s[77] - 12*s[78] + 
       80*s[79] - (112*s[80])/3 + 282*s[82] - 9*s[83] + 18*s[84] + 
       48*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*(-28*s[2] + 38*s[3] + (205*s[4])/2 + 
       (1109*s[5])/44 + (9083*s[6])/44 + (239011*s[7])/132 - 
       (67777*s[8])/1188 - (81391*s[9])/54 - (43511*s[10])/54 - 
       (395599*s[11])/198 - (198160*s[12])/99 - (258217*s[13])/198 - 
       (204035*s[14])/396 - (49817*s[15])/18 - (682339*s[16])/198 - 
       (1220849*s[17])/396 - (36091*s[18])/324 - (224003*s[19])/324 - 
       (13861457*s[20])/3564 - (4761839*s[21])/3564 + (3394219*s[22])/3564 + 
       (15748*s[23])/99 + (9719803*s[24])/3564 - (157680307*s[25])/64152 + 
       (86426749*s[26])/64152 - (3*s[28])/2 + 4*s[29] - 2*s[30] - 9*s[31] + 
       2*s[32] + 4*s[33] + 13*s[34] - 2*s[35] + (26*s[36])/3 - (29*s[37])/3 + 
       (83*s[38])/2 - (293*s[39])/4 + (1663*s[40])/12 - (275*s[41])/2 + 
       (155*s[42])/3 + (29069*s[43])/132 - (64555*s[44])/264 + 
       (21973*s[45])/132 - (15247*s[46])/11 - (156769*s[47])/792 + 
       (354797*s[48])/792 - (908081*s[49])/792 + (178907*s[50])/132 + 
       (27391*s[51])/792 - (16391*s[52])/792 - (24493*s[53])/33 - 
       (26073*s[54])/44 - (1408039*s[55])/264 - (599323*s[56])/792 - 
       (926657*s[57])/594 - (9246449*s[58])/7128 + (11261639*s[59])/7128 + 
       (74500565*s[60])/4752 - (3151765*s[61])/8019 + (3*s[65])/2 + 4*s[66] - 
       4*s[67] - 18*s[68] - 2*s[70] + s[71]/2 - 4*s[72] + 2*s[74] - 3*s[75] + 
       5*s[76] - 12*s[77] - 12*s[78] + 80*s[79] - (112*s[80])/3 + 282*s[82] - 
       9*s[83] + 18*s[84] + 48*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1}, 1 - w]*((3*s[2])/2 + (111*s[3])/2 + (2015*s[4])/4 + 
       (3605*s[5])/11 + (85445*s[6])/88 + (1078733*s[7])/132 - 
       (1565537*s[8])/2376 - (1462579*s[9])/216 - (252793*s[10])/108 - 
       (14148851*s[11])/1584 - (15277585*s[12])/1584 - (4555183*s[13])/792 - 
       (238633*s[14])/198 - (399829*s[15])/36 - (2793823*s[16])/198 - 
       (17788733*s[17])/1584 - (914357*s[18])/648 - (936283*s[19])/648 - 
       (29202727*s[20])/1782 - (42222757*s[21])/7128 + 
       (30211163*s[22])/7128 + (13377211*s[23])/1584 + 
       (132487123*s[24])/14256 - (1453377809*s[25])/128304 + 
       (804006227*s[26])/128304 + s[28]/4 - s[30] - (9*s[31])/2 - 11*s[33] + 
       (23*s[34])/2 + 2*s[35] - (110*s[36])/3 + (26*s[37])/3 + 
       (1295*s[38])/4 - (10215*s[39])/8 + (33553*s[40])/24 - (4463*s[41])/4 + 
       (10787*s[42])/6 + (309395*s[43])/264 - (638911*s[44])/528 + 
       (398863*s[45])/264 - (245097*s[46])/22 + (539777*s[47])/1584 + 
       (437147*s[48])/1584 - (8670419*s[49])/1584 + (2266667*s[50])/264 + 
       (1874461*s[51])/1584 + (1568869*s[52])/1584 - (199231*s[53])/33 - 
       (13779*s[54])/88 - (6798023*s[55])/176 - (16022473*s[56])/1584 + 
       (19024703*s[57])/2376 - (241109315*s[58])/14256 + 
       (246499937*s[59])/14256 + (869575991*s[60])/9504 - 
       (325215475*s[61])/64152 + s[64]/2 - s[65]/4 - s[66] - 4*s[68] + 
       6*s[69] + s[70]/2 - (3*s[71])/4 + 4*s[72] - (11*s[74])/2 + 7*s[75] - 
       (9*s[76])/2 - (11*s[77])/2 + 14*s[78] + 47*s[79] - (5*s[80])/3 + 
       249*s[82] + (33*s[83])/4 + (45*s[84])/2 + 48*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      (18*s[2] + (25*s[3])/2 + 596*s[4] + (53497*s[5])/88 + 
       (315971*s[6])/264 + (18016655*s[7])/1584 - (166517*s[8])/198 - 
       (696127*s[9])/72 - (224549*s[10])/72 - (2198275*s[11])/176 - 
       (3572531*s[12])/264 - (12687739*s[13])/1584 - (878227*s[14])/528 - 
       (2201815*s[15])/144 - (15356393*s[16])/792 - (24053039*s[17])/1584 - 
       (239957*s[18])/108 - (179959*s[19])/108 - (13684595*s[20])/594 - 
       (13699399*s[21])/1584 + (28532671*s[22])/4752 + (10137247*s[23])/792 + 
       (14679865*s[24])/1188 - (222716531*s[25])/14256 + 
       (125992847*s[26])/14256 + s[30] + 10*s[31] - (11*s[32])/4 + 
       (15*s[33])/4 - 21*s[34] + 2*s[35] - (110*s[36])/3 + 22*s[37] + 
       (3865*s[38])/12 - (28645*s[39])/24 + (31553*s[40])/24 - 
       (4123*s[41])/4 + (9907*s[42])/6 + (99185*s[43])/88 - 
       (624871*s[44])/528 + (127141*s[45])/88 - (231777*s[46])/22 + 
       (440087*s[47])/1584 + (594857*s[48])/1584 - (8490809*s[49])/1584 + 
       (719099*s[50])/88 + (569597*s[51])/528 + (1393429*s[52])/1584 - 
       (62787*s[53])/11 - (33219*s[54])/88 - (6445893*s[55])/176 - 
       (14829643*s[56])/1584 + (16253483*s[57])/2376 - 
       (224534705*s[58])/14256 + (230614907*s[59])/14256 + 
       (834600761*s[60])/9504 - (302292865*s[61])/64152 + s[64]/2 - s[65]/4 - 
       s[66] - 4*s[68] + 6*s[69] + s[70]/2 - (3*s[71])/4 + 4*s[72] - 
       (11*s[74])/2 + 7*s[75] - (9*s[76])/2 - (11*s[77])/2 + 14*s[78] + 
       47*s[79] - (5*s[80])/3 + 309*s[82] + (33*s[83])/4 + (45*s[84])/2 + 
       48*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Omega2[w, u, v]*
      ((39*s[2])/2 - (71*s[3])/4 + (7855*s[4])/8 + (66091*s[5])/88 + 
       (19804*s[6])/11 + (2911675*s[7])/176 - (1579403*s[8])/1188 - 
       (3036683*s[9])/216 - (928861*s[10])/216 - (28813639*s[11])/1584 - 
       (15781741*s[12])/792 - (18976423*s[13])/1584 - (3325741*s[14])/1584 - 
       (3143099*s[15])/144 - (10979719*s[16])/396 - (33519103*s[17])/1584 - 
       (2019067*s[18])/648 - (1470515*s[19])/648 - (234712883*s[20])/7128 - 
       (171661717*s[21])/14256 + (124743035*s[22])/14256 + 
       (1918931*s[23])/99 + (15880367*s[24])/891 - (2961419191*s[25])/
        128304 + (1637408671*s[26])/128304 + s[30] + 8*s[31] - 5*s[32] - 
       s[33]/2 - 15*s[34] - 17*s[35] - (95*s[36])/2 + (751*s[37])/12 + 
       613*s[38] - (19479*s[39])/8 + (21771*s[40])/8 - (17147*s[41])/8 + 
       (28079*s[42])/8 + (188193*s[43])/88 - (396995*s[44])/176 + 
       (620141*s[45])/264 - (619150*s[46])/33 + (142699*s[47])/176 + 
       (48033*s[48])/176 - (1700577*s[49])/176 + (158646*s[50])/11 + 
       (1273939*s[51])/528 + (344195*s[52])/176 - (3934229*s[53])/396 + 
       (24337*s[54])/66 - (11075425*s[55])/176 - (26338159*s[56])/1584 + 
       (21181969*s[57])/1188 - (420541811*s[58])/14256 + 
       (425909843*s[59])/14256 + (486164519*s[60])/3168 - 
       (256801235*s[61])/32076 - 2*s[66] + 2*s[67] - 2*s[68] + 6*s[69] - 
       2*s[70] - 2*s[71] + 10*s[72] - 2*s[73] - (23*s[74])/2 + (23*s[75])/2 - 
       8*s[76] - s[77] + 10*s[78] + 236*s[79] - (281*s[80])/6 + 66*s[82] + 
       96*s[84] + 48*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      Omega2[w, u, v]*((19*s[2])/2 + 7*s[3] + (2035*s[4])/2 + 
       (30535*s[5])/44 + (76707*s[6])/44 + (4237643*s[7])/264 - 
       (1577513*s[8])/1188 - (1466785*s[9])/108 - (444599*s[10])/108 - 
       (3505901*s[11])/198 - (7711001*s[12])/396 - (4655797*s[13])/396 - 
       (175609*s[14])/99 - (1521733*s[15])/72 - (21329513*s[16])/792 - 
       (8092861*s[17])/396 - (235604*s[18])/81 - (762847*s[19])/324 - 
       (28195180*s[20])/891 - (40648561*s[21])/3564 + (7551737*s[22])/891 + 
       (15167125*s[23])/792 + (123995635*s[24])/7128 - 
       (1453025411*s[25])/64152 + (790132553*s[26])/64152 + 3*s[30] + 
       4*s[31] - s[32] - 2*s[33] - 9*s[34] - 17*s[35] - (93*s[36])/2 + 
       (661*s[37])/12 + 603*s[38] - (19121*s[39])/8 + (21389*s[40])/8 - 
       (16829*s[41])/8 + (27537*s[42])/8 + (184951*s[43])/88 - 
       (392213*s[44])/176 + (606383*s[45])/264 - (1214063*s[46])/66 + 
       (413231*s[47])/528 + (161309*s[48])/528 - (5036717*s[49])/528 + 
       (155630*s[50])/11 + (416463*s[51])/176 + (1005919*s[52])/528 - 
       (3854159*s[53])/396 + (19027*s[54])/66 - (32531485*s[55])/528 - 
       (25724881*s[56])/1584 + (20836423*s[57])/1188 - 
       (412091981*s[58])/14256 + (417560669*s[59])/14256 + 
       (477229585*s[60])/3168 - (250872269*s[61])/32076 - 2*s[66] + 2*s[67] - 
       2*s[68] + 6*s[69] + 2*s[70] - 2*s[71] + 10*s[72] - 2*s[73] - 
       (23*s[74])/2 + (23*s[75])/2 - 8*s[76] - 5*s[77] + 10*s[78] + 
       236*s[79] - (299*s[80])/6 + 90*s[82] + 96*s[84] + 48*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Omega2[w, u, v]*
      ((11*s[2])/2 + (49*s[3])/4 + (5931*s[4])/8 + (21397*s[5])/44 + 
       (112525*s[6])/88 + (18293173*s[7])/1584 - (2244769*s[8])/2376 - 
       (526331*s[9])/54 - (322979*s[10])/108 - (20121625*s[11])/1584 - 
       (11050453*s[12])/792 - (4446995*s[13])/528 - (2178247*s[14])/1584 - 
       (728977*s[15])/48 - (212734*s[16])/11 - (23305391*s[17])/1584 - 
       (676649*s[18])/324 - (1101437*s[19])/648 - (162478031*s[20])/7128 - 
       (115645213*s[21])/14256 + (86744609*s[22])/14256 + 
       (3567329*s[23])/264 + (89681329*s[24])/7128 - (130570489*s[25])/8019 + 
       (70520689*s[26])/8019 + s[30] - s[32] - (17*s[33])/2 + s[34] - 
       13*s[35] - (89*s[36])/3 + (295*s[37])/6 + 416*s[38] - (3253*s[39])/2 + 
       (11101*s[40])/6 - (2923*s[41])/2 + (6991*s[42])/3 + (8911*s[43])/6 - 
       (37501*s[44])/24 + (20863*s[45])/12 - (53569*s[46])/4 + 
       (33095*s[47])/72 + (26315*s[48])/72 - (478565*s[49])/72 + 
       (61783*s[50])/6 + (118615*s[51])/72 + (95353*s[52])/72 - 
       (14225*s[53])/2 + (863*s[54])/2 - (1086713*s[55])/24 - 
       (871939*s[56])/72 + (1189085*s[57])/108 - (13353035*s[58])/648 + 
       (13449821*s[59])/648 + (47581925*s[60])/432 - (34067513*s[61])/5832 + 
       2*s[66] - 2*s[67] - 2*s[68] - 2*s[69] + 2*s[70] - 2*s[71] + 2*s[72] - 
       2*s[73] - (15*s[74])/2 + (15*s[75])/2 - 4*s[76] - s[77] - 6*s[78] + 
       188*s[79] - (137*s[80])/3 + 96*s[82] + 6*s[83] + 108*s[84] + 
       48*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*((199*s[2])/18 - (115*s[3])/12 + (3397*s[4])/8 + 
       (3523*s[5])/12 + (65117*s[6])/72 + (8928881*s[7])/1296 - 
       (1091861*s[8])/1944 - (11261951*s[9])/1944 - (3214675*s[10])/1944 - 
       (9896315*s[11])/1296 - (10982341*s[12])/1296 - (560503*s[13])/108 - 
       (76796*s[14])/81 - (139839*s[15])/16 - (272303*s[16])/24 - 
       (2725363*s[17])/324 - (17149607*s[18])/11664 - (7600597*s[19])/11664 - 
       (39456071*s[20])/2916 - (60008297*s[21])/11664 + 
       (21080441*s[22])/5832 + (3797567*s[23])/432 + (5157634*s[24])/729 - 
       (63129092*s[25])/6561 + (576021509*s[26])/104976 - (8*s[30])/9 + 
       (14*s[31])/3 - 4*s[32] + (3*s[33])/4 - (46*s[34])/9 + (29*s[35])/9 - 
       (511*s[36])/27 + (719*s[37])/54 + (1795*s[38])/6 - (40393*s[39])/36 + 
       (136003*s[40])/108 - (8977*s[41])/9 + (172259*s[42])/108 + 
       (308408*s[43])/297 - (2488765*s[44])/2376 + (2657159*s[45])/2376 - 
       (2341549*s[46])/264 + (2378879*s[47])/7128 + (2213483*s[48])/7128 - 
       (64047097*s[49])/14256 + (3947035*s[50])/594 + 
       (15426431*s[51])/14256 + (6732001*s[52])/7128 - (2706437*s[53])/594 + 
       (44723*s[54])/88 - (23255725*s[55])/792 - (118337045*s[56])/14256 + 
       (184400449*s[57])/21384 - (1814707339*s[58])/128304 + 
       (1812819319*s[59])/128304 + (6167197363*s[60])/85536 - 
       (4516221925*s[61])/1154736 - 2*s[66] + 2*s[67] - 2*s[68] + 6*s[69] - 
       6*s[70] - (9*s[71])/2 + 6*s[72] - (10*s[73])/3 - (103*s[74])/18 + 
       (103*s[75])/18 - 4*s[76] + (7*s[77])/3 + (26*s[78])/3 + 
       (968*s[79])/9 - (335*s[80])/54 + (32*s[82])/3 + s[83] + 54*s[84] + 
       (152*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((167*s[2])/18 + (131*s[3])/4 + (22535*s[4])/24 + 
       (469519*s[5])/792 + (1583737*s[6])/1056 + (68170777*s[7])/4752 - 
       (35053709*s[8])/28512 - (31356457*s[9])/2592 - (4785985*s[10])/1296 - 
       (300618497*s[11])/19008 - (331472785*s[12])/19008 - 
       (99226367*s[13])/9504 - (13211137*s[14])/9504 - (8175271*s[15])/432 - 
       (57256907*s[16])/2376 - (115125827*s[17])/6336 - 
       (5126507*s[18])/1944 - (8219741*s[19])/3888 - (604997245*s[20])/
        21384 - (432564947*s[21])/42768 + (40398071*s[22])/5346 + 
       (332109323*s[23])/19008 + (2646319801*s[24])/171072 - 
       (31246089353*s[25])/1539648 + (16893385523*s[26])/1539648 + 2*s[30] + 
       4*s[31] - (5*s[32])/4 + (31*s[33])/36 - (64*s[34])/9 - (95*s[35])/9 - 
       (767*s[36])/27 + (8773*s[37])/216 + (1547*s[38])/3 - 
       (150877*s[39])/72 + (504055*s[40])/216 - (132193*s[41])/72 + 
       (328105*s[42])/108 + (191303*s[43])/108 - (825845*s[44])/432 + 
       (424001*s[45])/216 - (1136237*s[46])/72 + (1939835*s[47])/2592 + 
       (283589*s[48])/2592 - (2640385*s[49])/324 + (5248829*s[50])/432 + 
       (1367125*s[51])/648 + (2212451*s[52])/1296 - (1198519*s[53])/144 + 
       (23795*s[54])/144 - (15135091*s[55])/288 - (17901293*s[56])/1296 + 
       (62301479*s[57])/3888 - (146170439*s[58])/5832 + 
       (147508253*s[59])/5832 + (998396863*s[60])/7776 - 
       (705734407*s[61])/104976 + s[62]/6 - s[68] + s[69] + (5*s[70])/3 - 
       (4*s[71])/3 + 8*s[72] - (103*s[74])/9 + (103*s[75])/9 - 6*s[76] - 
       4*s[77] + (13*s[78])/3 + (1708*s[79])/9 - (1130*s[80])/27 + 
       (1891*s[82])/12 + 96*s[84] + (154*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((13*s[2])/2 - (13*s[3])/3 + (587*s[4])/3 + (6506*s[5])/33 + 
       (122897*s[6])/264 + (9696749*s[7])/2376 - (1995401*s[8])/7128 - 
       (1119047*s[9])/324 - (767933*s[10])/648 - (21051815*s[11])/4752 - 
       (11223953*s[12])/2376 - (13379137*s[13])/4752 - (3706841*s[14])/4752 - 
       (297835*s[15])/54 - (2065447*s[16])/297 - (246295*s[17])/44 - 
       (3040555*s[18])/3888 - (2376719*s[19])/3888 - (89357471*s[20])/10692 - 
       (67676707*s[21])/21384 + (91667251*s[22])/42768 + 
       (9835387*s[23])/2376 + (192797845*s[24])/42768 - 
       (2110936649*s[25])/384912 + (306029087*s[26])/96228 - (5*s[30])/3 + 
       2*s[31] - (4*s[32])/3 + s[33]/4 + s[34] + 9*s[35] - (28*s[36])/3 - 
       (17*s[37])/12 + (389*s[38])/3 - (6563*s[39])/12 + (7463*s[40])/12 - 
       (2103*s[41])/4 + (1557*s[42])/2 + (19486*s[43])/33 - 
       (158233*s[44])/264 + (46339*s[45])/66 - (172883*s[46])/33 + 
       (875*s[47])/22 + (9997*s[48])/33 - (1426813*s[49])/528 + 
       (181099*s[50])/44 + (260143*s[51])/528 + (33069*s[52])/88 - 
       (2292913*s[53])/792 - (37805*s[54])/264 - (1232273*s[55])/66 - 
       (7317331*s[56])/1584 + (5123975*s[57])/2376 - (106126859*s[58])/
        14256 + (112044233*s[59])/14256 + (140108953*s[60])/3168 - 
       (36916573*s[61])/16038 - 2*s[66] + 2*s[67] - 2*s[68] + 6*s[69] - 
       2*s[70] - (5*s[71])/3 + (10*s[72])/3 - (10*s[73])/3 - 3*s[74] + 
       3*s[75] - 2*s[76] - s[77]/3 + 6*s[78] + (124*s[79])/3 - (2*s[80])/3 + 
       185*s[82] + 3*s[83] + 42*s[84] + 52*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((211*s[2])/24 + (1241*s[3])/48 + (101155*s[4])/96 + 
       (795769*s[5])/1056 + (947581*s[6])/528 + (160848893*s[7])/9504 - 
       (38925041*s[8])/28512 - (2325781*s[9])/162 - (1426561*s[10])/324 - 
       (22088795*s[11])/1188 - (193662407*s[12])/9504 - 
       (115771877*s[13])/9504 - (19165435*s[14])/9504 - (9698903*s[15])/432 - 
       (269602523*s[16])/9504 - (68673079*s[17])/3168 - 
       (12036859*s[18])/3888 - (19346959*s[19])/7776 - 
       (719205121*s[20])/21384 - (1028514607*s[21])/85536 + 
       (763991225*s[22])/85536 + (47453629*s[23])/2376 + 
       (393534347*s[24])/21384 - (36588033215*s[25])/1539648 + 
       (19870177661*s[26])/1539648 + (23*s[30])/12 + 3*s[31] - 
       (25*s[32])/24 + (5*s[33])/6 - (137*s[34])/12 - (91*s[35])/6 - 
       (340*s[36])/9 + (7529*s[37])/144 + (14777*s[38])/24 - 
       (114049*s[39])/48 + (384643*s[40])/144 - (50033*s[41])/24 + 
       (245893*s[42])/72 + (3227285*s[43])/1584 - (13838441*s[44])/6336 + 
       (7391861*s[45])/3168 - (6446029*s[46])/352 + (15744115*s[47])/19008 + 
       (3372943*s[48])/19008 - (174125353*s[49])/19008 + 
       (11124031*s[50])/792 + (46985903*s[51])/19008 + 
       (37146365*s[52])/19008 - (3411131*s[53])/352 + (41023*s[54])/66 - 
       (129190627*s[55])/2112 - (310163351*s[56])/19008 + 
       (510603613*s[57])/28512 - (4948089181*s[58])/171072 + 
       (4969213369*s[59])/171072 + (17018376937*s[60])/114048 - 
       (6087798617*s[61])/769824 + (5*s[66])/6 - (5*s[67])/6 - (5*s[68])/6 - 
       (5*s[69])/6 + (5*s[70])/6 - (95*s[71])/24 + (41*s[72])/6 - 
       (5*s[73])/6 - (83*s[74])/8 + (83*s[75])/8 - (23*s[76])/3 - 
       (29*s[77])/12 + (5*s[78])/2 + (1517*s[79])/6 - (4109*s[80])/72 + 
       12*s[82] + s[83]/4 + 102*s[84] + 53*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^3*((101*s[2])/24 + 25*s[3] + 
       (12001*s[4])/48 + (4391*s[5])/22 + (282959*s[6])/528 + 
       (1316461*s[7])/297 - (638125*s[8])/1782 - (4834819*s[9])/1296 - 
       (388721*s[10])/324 - (45993185*s[11])/9504 - (12480763*s[12])/2376 - 
       (9903853*s[13])/3168 - (7129589*s[14])/9504 - (283597*s[15])/48 - 
       (7937735*s[16])/1056 - (56147761*s[17])/9504 - (824867*s[18])/972 - 
       (2391535*s[19])/3888 - (191937917*s[20])/21384 - 
       (279227753*s[21])/85536 + (198203275*s[22])/85536 + 
       (15745535*s[23])/3168 + (414393487*s[24])/85536 - 
       (4700388179*s[25])/769824 + (2626517549*s[26])/769824 - s[28]/12 + 
       (2*s[29])/3 + s[30] + (3*s[31])/2 + (7*s[32])/12 + (17*s[33])/16 + 
       (53*s[34])/12 + (5*s[35])/6 + (19*s[36])/8 + (269*s[37])/72 + 
       (791*s[38])/8 - (14361*s[39])/32 + (51559*s[40])/96 - 
       (13547*s[41])/32 + (63049*s[42])/96 + (477781*s[43])/1056 - 
       (990271*s[44])/2112 + (253423*s[45])/396 - (14324489*s[46])/3168 + 
       (725365*s[47])/6336 + (1280359*s[48])/6336 - (12633751*s[49])/6336 + 
       (229795*s[50])/66 + (331787*s[51])/704 + (2269013*s[52])/6336 - 
       (1451023*s[53])/594 + (143293*s[54])/792 - (100337035*s[55])/6336 - 
       (83571463*s[56])/19008 + (4721525*s[57])/1782 - 
       (1154349557*s[58])/171072 + (1150285247*s[59])/171072 + 
       (476386807*s[60])/12672 - (3346846769*s[61])/1539648 + (5*s[62])/12 + 
       s[64]/12 + (4*s[66])/3 - (5*s[67])/3 + (8*s[68])/3 - (31*s[69])/6 + 
       (10*s[70])/3 + s[72]/2 + (11*s[73])/12 - s[74]/3 + (7*s[75])/24 - 
       (7*s[76])/3 - (7*s[77])/4 - (49*s[78])/12 + (199*s[79])/3 - 
       (238*s[80])/9 - s[81]/72 + 250*s[82] - (3*s[83])/4 + (75*s[84])/2 + 
       55*s[85]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((169*s[2])/18 - (4853*s[3])/72 + (1762*s[4])/9 + (707407*s[5])/3168 + 
       (1864765*s[6])/3168 + (158626949*s[7])/28512 - (9679981*s[8])/28512 - 
       (12475913*s[9])/2592 - (4946767*s[10])/2592 - (28149047*s[11])/4752 - 
       (58381027*s[12])/9504 - (102567595*s[13])/28512 - 
       (7457669*s[14])/4752 - (10134805*s[15])/1296 - 
       (279033199*s[16])/28512 - (237252773*s[17])/28512 - 
       (1507043*s[18])/1944 - (8865913*s[19])/7776 - (1023381829*s[20])/
        85536 - (1231465*s[21])/297 + (256546171*s[22])/85536 + 
       (43443553*s[23])/14256 + (579176023*s[24])/85536 - 
       (3742367021*s[25])/513216 + (2073524237*s[26])/513216 + 
       (331*s[30])/36 + (5*s[31])/18 + (253*s[32])/72 + (217*s[33])/48 + 
       (193*s[34])/36 - (23*s[35])/4 - (1361*s[36])/108 - (221*s[37])/432 - 
       (6697*s[38])/72 + (2911*s[39])/16 - (45193*s[40])/432 + 
       (260*s[41])/9 - (47971*s[42])/216 + (93121*s[43])/4752 - 
       (1553575*s[44])/19008 + (1560431*s[45])/9504 - (9237379*s[46])/9504 - 
       (17021299*s[47])/57024 + (28358057*s[48])/57024 - 
       (15804047*s[49])/57024 + (2613023*s[50])/2376 - 
       (8358815*s[51])/57024 - (13081109*s[52])/57024 - 
       (20403197*s[53])/28512 - (77522*s[54])/297 - (31722685*s[55])/6336 - 
       (19243643*s[56])/19008 - (139639411*s[57])/28512 + 
       (14584945*s[58])/57024 - (7306337*s[59])/57024 + 
       (4060586927*s[60])/342144 - (100336895*s[61])/192456 - s[64]/2 - 
       (5*s[65])/4 - (7*s[66])/6 + (13*s[67])/6 + (5*s[68])/6 + (9*s[69])/2 + 
       6*s[70] + (31*s[71])/24 + (5*s[72])/3 - (58*s[73])/9 - (5*s[74])/3 + 
       (2*s[75])/3 + 2*s[76] + (23*s[77])/18 - (5*s[78])/18 + (247*s[79])/2 - 
       (11555*s[80])/216 + 521*s[82] + (67*s[83])/12 + 23*s[84] + 
       (167*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*((211*s[2])/24 + (341*s[3])/144 + 
       (110201*s[4])/288 + (27213*s[5])/88 + (268977*s[6])/352 + 
       (130620983*s[7])/19008 - (15253351*s[8])/28512 - (3759725*s[9])/648 - 
       (2445035*s[10])/1296 - (142714375*s[11])/19008 - 
       (77374507*s[12])/9504 - (92727311*s[13])/19008 - 
       (20010085*s[14])/19008 - (588623*s[15])/64 - (27640321*s[16])/2376 - 
       (57859847*s[17])/6336 - (1196093*s[18])/972 - (8351105*s[19])/7776 - 
       (1180596359*s[20])/85536 - (853764631*s[21])/171072 + 
       (617811143*s[22])/171072 + (69544313*s[23])/9504 + 
       (653009563*s[24])/85536 - (1827254267*s[25])/192456 + 
       (1008049445*s[26])/192456 + (7*s[30])/18 + (5*s[31])/2 - 
       (17*s[32])/18 - s[33]/48 - s[34]/3 - (31*s[35])/12 - (95*s[36])/9 + 
       (419*s[37])/27 + (7801*s[38])/36 - (126025*s[39])/144 + 
       (143921*s[40])/144 - (113855*s[41])/144 + (20049*s[42])/16 + 
       (1313971*s[43])/1584 - (688597*s[44])/792 + (812381*s[45])/792 - 
       (4049365*s[46])/528 + (1091639*s[47])/4752 + (76199*s[48])/297 - 
       (8928913*s[49])/2376 + (4710947*s[50])/792 + (4122433*s[51])/4752 + 
       (3304855*s[52])/4752 - (9846743*s[53])/2376 + (113897*s[54])/792 - 
       (15769019*s[55])/594 - (2753491*s[56])/396 + (23856755*s[57])/4752 - 
       (20417875*s[58])/1782 + (166119461*s[59])/14256 + 
       (908921989*s[60])/14256 - (876901231*s[61])/256608 - s[68]/6 + 
       s[69]/6 - s[70]/9 - s[71]/2 + (7*s[72])/2 - (3*s[73])/2 - 
       (247*s[74])/72 + (229*s[75])/72 - (2*s[76])/3 - (41*s[77])/36 + 
       (5*s[78])/2 + 94*s[79] - (263*s[80])/9 + (608*s[82])/3 + 42*s[84] + 
       56*s[85]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((-659*s[2])/12 + (661*s[3])/72 - 
       (97037*s[4])/72 - (1934111*s[5])/1584 - (4618129*s[6])/1584 - 
       (348923633*s[7])/14256 + (4677271*s[8])/2376 + (9048389*s[9])/432 + 
       (1287997*s[10])/216 + (32007419*s[11])/1188 + (23484547*s[12])/792 + 
       (126937295*s[13])/7128 + (17358497*s[14])/4752 + 
       (41195459*s[15])/1296 + (578292589*s[16])/14256 + 
       (27235415*s[17])/891 + (20193487*s[18])/3888 + (9289991*s[19])/3888 + 
       (525070643*s[20])/10692 + (793023883*s[21])/42768 - 
       (184808297*s[22])/14256 - (431942513*s[23])/14256 - 
       (360929185*s[24])/14256 + (13012708543*s[25])/384912 - 
       (1858082197*s[26])/96228 - (1213*s[30])/36 - (479*s[31])/18 + 
       2*s[32] - (767*s[33])/48 + (1933*s[34])/36 + (82*s[35])/3 + 
       (1729*s[36])/27 - (28171*s[37])/216 - (26399*s[38])/36 + 
       (17111*s[39])/6 - (168857*s[40])/54 + (172051*s[41])/72 - 
       (903139*s[42])/216 - (677630*s[43])/297 + (22354141*s[44])/9504 - 
       (10041521*s[45])/4752 + (87380899*s[46])/4752 - 
       (37662287*s[47])/28512 + (10809169*s[48])/28512 + 
       (271542269*s[49])/28512 - (15929549*s[50])/1188 - 
       (82400407*s[51])/28512 - (71118013*s[52])/28512 + 
       (132078371*s[53])/14256 - (2055521*s[54])/1188 + 
       (183399119*s[55])/3168 + (160772113*s[56])/9504 - 
       (44648221*s[57])/1584 + (2741611951*s[58])/85536 - 
       (2729857399*s[59])/85536 - (24524021045*s[60])/171072 + 
       (186037204*s[61])/24057 - (3*s[62])/2 - s[64] + (13*s[66])/3 - 
       (11*s[67])/6 - (11*s[68])/3 - 6*s[69] - (37*s[70])/3 + (47*s[71])/12 - 
       18*s[72] + (29*s[73])/9 + (35*s[74])/4 - 10*s[75] + (139*s[76])/6 + 
       (136*s[77])/9 - (226*s[78])/9 - (748*s[79])/3 + (3233*s[80])/108 + 
       s[81]/6 + 748*s[82] + (85*s[83])/12 - (85*s[84])/2 + (170*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((58*s[2])/9 + (937*s[3])/24 + (25439*s[4])/48 + (207523*s[5])/792 + 
       (57355*s[6])/66 + (69724673*s[7])/9504 - (1545215*s[8])/2376 - 
       (1320391*s[9])/216 - (770941*s[10])/432 - (12996097*s[11])/1584 - 
       (7272929*s[12])/792 - (53353873*s[13])/9504 - (839141*s[14])/1584 - 
       (2705693*s[15])/288 - (7256683*s[16])/594 - (84802625*s[17])/9504 - 
       (129509*s[18])/96 - (902747*s[19])/864 - (44633657*s[20])/3168 - 
       (71293693*s[21])/14256 + (54791665*s[22])/14256 + 
       (44986585*s[23])/4752 + (225705377*s[24])/28512 - 
       (2733938927*s[25])/256608 + (1454276051*s[26])/256608 + s[30] + 
       2*s[31] - (3*s[32])/4 - (23*s[33])/9 + (8*s[34])/9 - (35*s[35])/9 - 
       (1183*s[36])/54 + (4963*s[37])/216 + (908*s[38])/3 - 
       (84769*s[39])/72 + (286219*s[40])/216 - (74743*s[41])/72 + 
       (90671*s[42])/54 + (631079*s[43])/594 - (330511*s[44])/297 + 
       (1373675*s[45])/1188 - (200485*s[46])/22 + (4890287*s[47])/14256 + 
       (3778847*s[48])/14256 - (135507265*s[49])/28512 + 
       (16503779*s[50])/2376 + (33445955*s[51])/28512 + 
       (3413173*s[52])/3564 - (22534745*s[53])/4752 + (126727*s[54])/528 - 
       (5289227*s[55])/176 - (230855489*s[56])/28512 + 
       (378742261*s[57])/42768 - (3689318821*s[58])/256608 + 
       (3709106131*s[59])/256608 + (12753494353*s[60])/171072 - 
       (1136558207*s[61])/288684 - 2*s[68] + 2*s[69] - (5*s[70])/3 - 
       (4*s[71])/3 + 4*s[72] - (151*s[74])/36 + (151*s[75])/36 - 6*s[76] - 
       s[77] + (8*s[78])/3 + (910*s[79])/9 - (584*s[80])/27 + (683*s[82])/6 + 
       48*s[84] + (172*s[85])/3) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v]*((1801*s[2])/144 + (5585*s[3])/288 + 
       (20261*s[4])/576 + (25405*s[5])/99 + (2546339*s[6])/6336 + 
       (47890723*s[7])/12672 - (8916667*s[8])/57024 - (4261421*s[9])/1296 - 
       (3700823*s[10])/2592 - (152837095*s[11])/38016 - 
       (38434277*s[12])/9504 - (86745265*s[13])/38016 - 
       (52247707*s[14])/38016 - (19012079*s[15])/3456 - 
       (32507429*s[16])/4752 - (232170313*s[17])/38016 - 
       (2639041*s[18])/3888 - (11682443*s[19])/15552 - 
       (1463897555*s[20])/171072 - (1137442909*s[21])/342144 + 
       (684852569*s[22])/342144 + (2204629*s[23])/1188 + 
       (399990893*s[24])/85536 - (7150792433*s[25])/1539648 + 
       (4497248813*s[26])/1539648 - (25*s[30])/9 + (157*s[31])/36 - 
       (133*s[32])/9 + (619*s[33])/288 + (11*s[34])/36 + (571*s[35])/72 + 
       (343*s[36])/72 + (261*s[37])/16 + (143*s[38])/6 - (11639*s[39])/72 + 
       (3361*s[40])/18 - (2065*s[41])/18 + (34199*s[42])/144 + 
       (96785*s[43])/792 - (1089061*s[44])/6336 + (745769*s[45])/3168 - 
       (1725113*s[46])/1056 + (1266827*s[47])/19008 + (719555*s[48])/19008 - 
       (14757713*s[49])/19008 + (2059525*s[50])/1584 + 
       (2759167*s[51])/19008 + (1727821*s[52])/19008 - (2088709*s[53])/2376 - 
       (83893*s[54])/1584 - (107399771*s[55])/19008 - 
       (28118471*s[56])/19008 + (25641865*s[57])/28512 - 
       (412481851*s[58])/171072 + (400934077*s[59])/171072 + 
       (1601724053*s[60])/114048 - (1238443117*s[61])/1539648 - s[64]/4 - 
       (7*s[65])/8 - (8*s[66])/3 + (47*s[67])/12 + (2*s[68])/3 + 
       (5*s[69])/3 - (79*s[70])/12 + (41*s[71])/8 + (83*s[72])/36 - 
       (209*s[73])/12 - (89*s[74])/144 - (19*s[75])/144 - (131*s[76])/36 + 
       (97*s[77])/24 + (223*s[78])/36 + (35*s[79])/3 - (3029*s[80])/72 + 
       s[81]/24 + (853*s[82])/2 + s[83]/3 + (89*s[84])/6 + (175*s[85])/3) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((167*s[2])/18 + (1645*s[3])/48 + (209183*s[4])/288 + 
       (78571*s[5])/144 + (389021*s[6])/288 + (15594265*s[7])/1296 - 
       (3795751*s[8])/3888 - (79209335*s[9])/7776 - (24643159*s[10])/7776 - 
       (17136161*s[11])/1296 - (37415807*s[12])/2592 - 
       (22408463*s[13])/2592 - (2023619*s[14])/1296 - (5172637*s[15])/324 - 
       (52607513*s[16])/2592 - (3371741*s[17])/216 - (1681406*s[18])/729 - 
       (2433713*s[19])/1458 - (560449465*s[20])/23328 - 
       (102612569*s[21])/11664 + (147744365*s[22])/23328 + 
       (1152341*s[23])/81 + (302482781*s[24])/23328 - 
       (1760856443*s[25])/104976 + (1954378123*s[26])/209952 + 
       (19*s[30])/36 + (59*s[31])/18 - (19*s[32])/9 - (49*s[33])/72 - 
       (73*s[34])/18 - (53*s[35])/18 - (260*s[36])/9 + (833*s[37])/36 + 
       (1683*s[38])/4 - (124259*s[39])/72 + (139267*s[40])/72 - 
       (13837*s[41])/9 + (44993*s[42])/18 + (399953*s[43])/264 - 
       (2540033*s[44])/1584 + (4191529*s[45])/2376 - (4082147*s[46])/297 + 
       (1341209*s[47])/2376 + (261553*s[48])/1188 - (8214301*s[49])/1188 + 
       (1398533*s[50])/132 + (1037741*s[51])/594 + (6552923*s[52])/4752 - 
       (52216079*s[53])/7128 + (349265*s[54])/2376 - (2042089*s[55])/44 - 
       (43703753*s[56])/3564 + (269739985*s[57])/21384 - 
       (690023011*s[58])/32076 + (174280024*s[59])/8019 + 
       (1600231111*s[60])/14256 - (3482197463*s[61])/577368 - (11*s[68])/6 + 
       (11*s[69])/6 - s[70]/9 - 2*s[71] + (58*s[72])/9 - s[73]/9 - 
       (143*s[74])/18 + (143*s[75])/18 - (77*s[76])/18 - (17*s[77])/6 + 
       (10*s[78])/3 + (1298*s[79])/9 - (701*s[80])/27 + 202*s[82] + 
       (230*s[84])/3 + (178*s[85])/3) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*((823*s[2])/72 + (2945*s[3])/144 + 
       (270305*s[4])/288 + (81715*s[5])/132 + (5401879*s[6])/3168 + 
       (280208029*s[7])/19008 - (35776309*s[8])/28512 - (8051099*s[9])/648 - 
       (2380819*s[10])/648 - (309496153*s[11])/19008 - 
       (171324031*s[12])/9504 - (69185983*s[13])/6336 - 
       (31861405*s[14])/19008 - (32837899*s[15])/1728 - 
       (25882867*s[16])/1056 - (349114367*s[17])/19008 - 
       (21956473*s[18])/7776 - (7462045*s[19])/3888 - 
       (618087809*s[20])/21384 - (1785745033*s[21])/171072 + 
       (1325926433*s[22])/171072 + (57315323*s[23])/3168 + 
       (334659433*s[24])/21384 - (8022213127*s[25])/384912 + 
       (4371419071*s[26])/384912 + (16*s[30])/9 + (79*s[31])/18 - 
       (115*s[32])/72 - (157*s[33])/72 - (245*s[34])/36 - (253*s[35])/18 - 
       (625*s[36])/18 + (2927*s[37])/48 + (13657*s[38])/24 - 
       (318857*s[39])/144 + (357793*s[40])/144 - (69697*s[41])/36 + 
       (28666*s[42])/9 + (30413*s[43])/16 - (1158491*s[44])/576 + 
       (615715*s[45])/288 - (1621717*s[46])/96 + (466235*s[47])/576 + 
       (125663*s[48])/576 - (1631963*s[49])/192 + (308021*s[50])/24 + 
       (3914333*s[51])/1728 + (118157*s[52])/64 - (7621019*s[53])/864 + 
       (7825*s[54])/12 - (96578657*s[55])/1728 - (26389469*s[56])/1728 + 
       (45314683*s[57])/2592 - (420425839*s[58])/15552 + 
       (419669515*s[59])/15552 + (473931769*s[60])/3456 - 
       (513664433*s[61])/69984 - (5*s[66])/6 + (5*s[67])/6 + (5*s[68])/6 + 
       (5*s[69])/6 + (5*s[70])/6 - (25*s[71])/8 + (143*s[72])/18 - 
       (5*s[73])/6 - (707*s[74])/72 + (707*s[75])/72 - (64*s[76])/9 - 
       (29*s[77])/12 + (145*s[78])/18 + (1367*s[79])/6 - (3889*s[80])/72 + 
       (185*s[82])/3 - (11*s[83])/6 + (487*s[84])/6 + (179*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      (4*s[2] + 3*s[3] - 66*s[4] + (3593*s[5])/132 + (23341*s[6])/264 + 
       (103951*s[7])/792 + (169843*s[8])/2376 - (20041*s[9])/216 - 
       (20485*s[10])/108 - (282347*s[11])/1584 - (229645*s[12])/1584 - 
       (2627*s[13])/44 - (45884*s[14])/99 - (7337*s[15])/72 - 
       (50131*s[16])/132 - (676651*s[17])/1584 - (5842*s[18])/81 - 
       (6983*s[19])/324 - (2385599*s[20])/3564 - (2350153*s[21])/7128 + 
       (492281*s[22])/7128 - (126233*s[23])/176 + (5652301*s[24])/14256 - 
       (4376975*s[25])/128304 + (20390369*s[26])/128304 + s[33] + 5*s[34] + 
       7*s[35] - s[36]/6 - (125*s[37])/4 + (181*s[38])/6 - (119*s[39])/24 + 
       (329*s[40])/8 - (279*s[41])/8 - (513*s[42])/8 + (46853*s[43])/264 - 
       (85397*s[44])/528 + (72737*s[45])/264 - (201877*s[46])/132 - 
       (318805*s[47])/1584 + (853949*s[48])/1584 - (1338779*s[49])/1584 + 
       (164333*s[50])/132 - (144409*s[51])/1584 - (88901*s[52])/1584 - 
       (33835*s[53])/44 - (13327*s[54])/66 - (8994781*s[55])/1584 - 
       (2378113*s[56])/1584 - (1129477*s[57])/594 - (21175481*s[58])/14256 + 
       (20748845*s[59])/14256 + (146319023*s[60])/9504 - 
       (52997413*s[61])/64152 - 3*s[68] + 3*s[69] - (3*s[71])/2 + 2*s[74] - 
       2*s[75] - 6*s[76] - 3*s[77] + 3*s[78] - 14*s[79] + (101*s[80])/6 + 
       370*s[82] + 60*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 0, 1}, 1 - w]*(5*s[2] + (63*s[3])/2 - 115*s[4] + 
       (5495*s[5])/66 + (2749*s[6])/33 + (56611*s[7])/132 + 
       (38539*s[8])/594 - (37403*s[9])/108 - (45289*s[10])/108 - 
       (108095*s[11])/396 + (2663*s[12])/99 + (22201*s[13])/99 - 
       (352151*s[14])/396 - (13223*s[15])/12 - (402575*s[16])/396 - 
       (644891*s[17])/396 - (12967*s[18])/81 - (39125*s[19])/324 - 
       (3101665*s[20])/1782 - (2909765*s[21])/3564 + (301979*s[22])/1782 - 
       (120530*s[23])/99 + (2800909*s[24])/3564 + (933673*s[25])/32076 + 
       (5662645*s[26])/16038 - s[30]/3 + 5*s[34] + (52*s[35])/3 + 
       (265*s[36])/18 - (821*s[37])/36 - (217*s[38])/3 + (6667*s[39])/24 - 
       (20101*s[40])/72 + (1673*s[41])/8 - (31577*s[42])/72 - 
       (69215*s[43])/792 + (161989*s[44])/1584 + (184601*s[45])/792 - 
       (58417*s[46])/132 - (1207091*s[47])/4752 + (1515079*s[48])/4752 + 
       (1677617*s[49])/4752 + (89335*s[50])/198 - (1461649*s[51])/4752 - 
       (1440943*s[52])/4752 - (63061*s[53])/132 + (955*s[54])/33 - 
       (6124073*s[55])/1584 - (4480577*s[56])/4752 - (19823011*s[57])/3564 + 
       (35216231*s[58])/42768 - (27741623*s[59])/42768 + 
       (164878447*s[60])/28512 - (64105015*s[61])/96228 - (3*s[62])/2 - 
       s[71] + (5*s[74])/2 - (5*s[75])/2 - (100*s[79])/3 + (85*s[80])/18 + 
       374*s[82] + 60*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1}, 1 - v]*(5*s[2] + (135*s[3])/4 - (833*s[4])/8 + 
       (9777*s[5])/88 + (5471*s[6])/44 + (3312517*s[7])/4752 + 
       (200455*s[8])/3564 - (372395*s[9])/648 - (333853*s[10])/648 - 
       (2597623*s[11])/4752 - (555055*s[12])/2376 - (28469*s[13])/1584 - 
       (4718701*s[14])/4752 - (22755*s[15])/16 - (403849*s[16])/264 - 
       (9928343*s[17])/4752 - (271765*s[18])/1944 - (456095*s[19])/1944 - 
       (47950775*s[20])/21384 - (39751225*s[21])/42768 + 
       (13261151*s[22])/42768 - (1059547*s[23])/792 + 
       (24859663*s[24])/21384 - (136978843*s[25])/384912 + 
       (187289383*s[26])/384912 + (13*s[33])/3 + 8*s[34] + (52*s[35])/3 + 
       (265*s[36])/18 - (821*s[37])/36 - (217*s[38])/3 + (6667*s[39])/24 - 
       (20101*s[40])/72 + (1673*s[41])/8 - (31577*s[42])/72 - 
       (69215*s[43])/792 + (161989*s[44])/1584 + (184601*s[45])/792 - 
       (58417*s[46])/132 - (1207091*s[47])/4752 + (1515079*s[48])/4752 + 
       (1677617*s[49])/4752 + (89335*s[50])/198 - (1461649*s[51])/4752 - 
       (1440943*s[52])/4752 - (63061*s[53])/132 + (955*s[54])/33 - 
       (6124073*s[55])/1584 - (4480577*s[56])/4752 - (19823011*s[57])/3564 + 
       (35216231*s[58])/42768 - (27741623*s[59])/42768 + 
       (164878447*s[60])/28512 - (64105015*s[61])/96228 - (3*s[62])/2 - 
       s[71] + (5*s[74])/2 - (5*s[75])/2 - (100*s[79])/3 + (85*s[80])/18 + 
       374*s[82] + 60*s[85]) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      ((13*s[2])/2 - (33*s[3])/2 - (2153*s[4])/4 + (861*s[5])/11 - 
       (67333*s[6])/264 - (1495361*s[7])/396 + (1270363*s[8])/2376 + 
       (641513*s[9])/216 + (55151*s[10])/108 + (7120687*s[11])/1584 + 
       (8921939*s[12])/1584 + (366914*s[13])/99 - (1040659*s[14])/792 + 
       (74923*s[15])/18 + (4486225*s[16])/792 + (491477*s[17])/176 + 
       (145417*s[18])/648 + (639899*s[19])/648 + (40390223*s[20])/7128 + 
       (1085218*s[21])/891 - (7066787*s[22])/3564 - (9782191*s[23])/1584 - 
       (59200943*s[24])/14256 + (863446357*s[25])/128304 - 
       (336613807*s[26])/128304 - 20*s[30] + s[33] + 6*s[34] + 21*s[35] + 
       (109*s[36])/3 - (877*s[37])/12 - (1591*s[38])/6 + (2581*s[39])/3 - 
       (2843*s[40])/3 + (2791*s[41])/4 - (14329*s[42])/12 - (7895*s[43])/11 + 
       (202969*s[44])/264 - (146353*s[45])/264 + (1310503*s[46])/264 - 
       (132415*s[47])/396 + (41561*s[48])/396 + (633029*s[49])/198 - 
       (165361*s[50])/44 - (108247*s[51])/132 - (575401*s[52])/792 + 
       (1898759*s[53])/792 - (5419*s[54])/132 + (503089*s[55])/33 + 
       (1380853*s[56])/396 - (3990779*s[57])/594 + (58907425*s[58])/7128 - 
       (30020195*s[59])/3564 - (196034891*s[60])/4752 + 
       (198787931*s[61])/128304 - (3*s[62])/2 - 2*s[67] + (3*s[71])/2 - 
       2*s[72] + 2*s[73] + 6*s[74] - 6*s[75] + s[77] - 2*s[78] - 100*s[79] + 
       (27*s[80])/2 + 318*s[82] - 24*s[84] + 60*s[85]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 1}, 1 - v]*((3*s[2])/2 + 55*s[3] - 
       (335*s[4])/2 - (31619*s[5])/88 - (4436*s[6])/11 - (963505*s[7])/198 + 
       (124123*s[8])/594 + (478849*s[9])/108 + (281377*s[10])/216 + 
       (8459545*s[11])/1584 + (9045257*s[12])/1584 + (344987*s[13])/99 + 
       (801503*s[14])/792 + (467449*s[15])/72 + (6290239*s[16])/792 + 
       (3293219*s[17])/528 + (297017*s[18])/324 + (436883*s[19])/648 + 
       (72899831*s[20])/7128 + (28296305*s[21])/7128 - (9489827*s[22])/3564 - 
       (7343383*s[23])/1584 - (75236807*s[24])/14256 + 
       (417195785*s[25])/64152 - (30857650*s[26])/8019 + 3*s[27] - 2*s[31] + 
       s[32] + 15*s[33] + 9*s[34] + 21*s[35] + (109*s[36])/3 - 
       (877*s[37])/12 - (1591*s[38])/6 + (2581*s[39])/3 - (2843*s[40])/3 + 
       (2791*s[41])/4 - (14329*s[42])/12 - (7895*s[43])/11 + 
       (202969*s[44])/264 - (146353*s[45])/264 + (1310503*s[46])/264 - 
       (132415*s[47])/396 + (41561*s[48])/396 + (633029*s[49])/198 - 
       (165361*s[50])/44 - (108247*s[51])/132 - (575401*s[52])/792 + 
       (1898759*s[53])/792 - (5419*s[54])/132 + (503089*s[55])/33 + 
       (1380853*s[56])/396 - (3990779*s[57])/594 + (58907425*s[58])/7128 - 
       (30020195*s[59])/3564 - (196034891*s[60])/4752 + 
       (198787931*s[61])/128304 - (3*s[62])/2 - 2*s[67] + (3*s[71])/2 - 
       2*s[72] + 2*s[73] + 6*s[74] - 6*s[75] + s[77] - 2*s[78] - 100*s[79] + 
       (27*s[80])/2 + 318*s[82] - 24*s[84] + 60*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 1}, 1 - w]*(3*s[2] + (59*s[3])/2 - 
       (1147*s[4])/2 - (33017*s[5])/132 - (40897*s[6])/66 - 
       (677353*s[7])/99 + (839987*s[8])/1188 + (623749*s[9])/108 + 
       (158009*s[10])/108 + (6019385*s[11])/792 + (6816949*s[12])/792 + 
       (115133*s[13])/22 - (24383*s[14])/396 + (161263*s[15])/18 + 
       (495009*s[16])/44 + (6311035*s[17])/792 + (370613*s[18])/324 + 
       (80731*s[19])/81 + (45606985*s[20])/3564 + (3905095*s[21])/891 - 
       (3234659*s[22])/891 - (2656507*s[23])/264 - (50816107*s[24])/7128 + 
       (648782603*s[25])/64152 - (332135747*s[26])/64152 - 6*s[30] - 
       2*s[31] + s[32] - s[33]/4 + 10*s[34] + 19*s[35] + (235*s[36])/6 - 
       83*s[37] - (701*s[38])/2 + (10487*s[39])/8 - (34393*s[40])/24 + 
       (8813*s[41])/8 - (45635*s[42])/24 - (88881*s[43])/88 + 
       (571541*s[44])/528 - (116045*s[45])/132 + (2126731*s[46])/264 - 
       (307969*s[47])/528 + (52935*s[48])/176 + (806049*s[49])/176 - 
       (67950*s[50])/11 - (2049005*s[51])/1584 - (587381*s[52])/528 + 
       (1124311*s[53])/264 - (34685*s[54])/132 + (13955239*s[55])/528 + 
       (3485881*s[56])/528 - (2123647*s[57])/198 + (63348067*s[58])/4752 - 
       (65648593*s[59])/4752 - (68562883*s[60])/1056 + 
       (127492099*s[61])/42768 - 2*s[67] + (3*s[71])/2 - 4*s[72] + 4*s[73] + 
       (15*s[74])/2 - (15*s[75])/2 + 2*s[76] + 2*s[77] - 4*s[78] - 
       168*s[79] + (94*s[80])/3 + 320*s[82] - 24*s[84] + 60*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 1}, 1 - v]*(3*s[2] + (181*s[3])/4 - 
       (4273*s[4])/8 - (1913*s[5])/6 - (16241*s[6])/24 - (1070581*s[7])/144 + 
       (140587*s[8])/216 + (343597*s[9])/54 + (185275*s[10])/108 + 
       (1184779*s[11])/144 + (658399*s[12])/72 + (268957*s[13])/48 + 
       (46393*s[14])/144 + (1416065*s[15])/144 + (97819*s[16])/8 + 
       (1298453*s[17])/144 + (379975*s[18])/324 + (767959*s[19])/648 + 
       (9208067*s[20])/648 + (6471703*s[21])/1296 - (5140871*s[22])/1296 - 
       (38185*s[23])/4 - (2598971*s[24])/324 + (31352485*s[25])/2916 - 
       (4116430*s[26])/729 - s[30] - 2*s[31] + s[32] + (7*s[33])/2 + 
       18*s[34] + 19*s[35] + (235*s[36])/6 - 83*s[37] - (701*s[38])/2 + 
       (10487*s[39])/8 - (34393*s[40])/24 + (8813*s[41])/8 - 
       (45635*s[42])/24 - (88881*s[43])/88 + (571541*s[44])/528 - 
       (116045*s[45])/132 + (2126731*s[46])/264 - (307969*s[47])/528 + 
       (52935*s[48])/176 + (806049*s[49])/176 - (67950*s[50])/11 - 
       (2049005*s[51])/1584 - (587381*s[52])/528 + (1124311*s[53])/264 - 
       (34685*s[54])/132 + (13955239*s[55])/528 + (3485881*s[56])/528 - 
       (2123647*s[57])/198 + (63348067*s[58])/4752 - (65648593*s[59])/4752 - 
       (68562883*s[60])/1056 + (127492099*s[61])/42768 - 2*s[67] + 
       (3*s[71])/2 - 4*s[72] + 4*s[73] + (15*s[74])/2 - (15*s[75])/2 + 
       2*s[76] + 2*s[77] - 4*s[78] - 168*s[79] + (94*s[80])/3 + 320*s[82] - 
       24*s[84] + 60*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      Omega2[v, w, u]*((221*s[2])/12 - (17*s[3])/24 + (27463*s[4])/48 + 
       (37879*s[5])/66 + (669961*s[6])/528 + (12147065*s[7])/1056 - 
       (1360651*s[8])/1584 - (176437*s[9])/18 - (232949*s[10])/72 - 
       (13228811*s[11])/1056 - (1188697*s[12])/88 - (8414869*s[13])/1056 - 
       (2192567*s[14])/1056 - (1487623*s[15])/96 - (5170405*s[16])/264 - 
       (5462943*s[17])/352 - (60604*s[18])/27 - (690155*s[19])/432 - 
       (112309763*s[20])/4752 - (83619073*s[21])/9504 + 
       (57676781*s[22])/9504 + (3222013*s[23])/264 + (7480079*s[24])/594 - 
       (666206807*s[25])/42768 + (380415443*s[26])/42768 - (2*s[30])/3 + 
       (17*s[31])/3 - (14*s[32])/3 - (31*s[33])/24 - (14*s[34])/3 - 
       (49*s[35])/6 - (47*s[36])/2 + (365*s[37])/12 + (685*s[38])/2 - 
       (4292*s[39])/3 + (9679*s[40])/6 - (15271*s[41])/12 + 2076*s[42] + 
       (41032*s[43])/33 - (714433*s[44])/528 + (397109*s[45])/264 - 
       (3077807*s[46])/264 + (767447*s[47])/1584 + (313103*s[48])/1584 - 
       (9111869*s[49])/1584 + (297070*s[50])/33 + (2290999*s[51])/1584 + 
       (1805665*s[52])/1584 - (410789*s[53])/66 + (1646*s[54])/11 - 
       (62676355*s[55])/1584 - (16737835*s[56])/1584 + 
       (24438011*s[57])/2376 - (259076399*s[58])/14256 + 
       (260752685*s[59])/14256 + (907648241*s[60])/9504 - 
       (664464989*s[61])/128304 - 2*s[66] + 2*s[67] + s[68] + 3*s[69] + 
       s[70] + (19*s[72])/3 - 3*s[73] - (91*s[74])/12 + (91*s[75])/12 - 
       (7*s[76])/3 - (5*s[77])/2 + (23*s[78])/3 + 144*s[79] - (263*s[80])/6 + 
       251*s[82] - s[83] + 62*s[84] + 60*s[85]) + HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - v]*((23*s[2])/4 - (403*s[3])/8 + (9819*s[4])/16 + 
       (22023*s[5])/88 + (170459*s[6])/176 + (28274239*s[7])/3168 - 
       (3361693*s[8])/4752 - (205991*s[9])/27 - (246433*s[10])/108 - 
       (31729993*s[11])/3168 - (8879705*s[12])/792 - (2469319*s[13])/352 - 
       (2515609*s[14])/3168 - (1080035*s[15])/96 - (3875605*s[16])/264 - 
       (33343271*s[17])/3168 - (219347*s[18])/162 - (1903313*s[19])/1296 - 
       (245855825*s[20])/14256 - (166245091*s[21])/28512 + 
       (136688555*s[22])/28512 + (209417*s[23])/22 + (72340667*s[24])/7128 - 
       (1675039331*s[25])/128304 + (864214823*s[26])/128304 - s[30]/2 - 
       4*s[32] + (31*s[33])/2 - (7*s[34])/2 - (7*s[35])/2 - (89*s[36])/3 + 
       (371*s[37])/12 + (691*s[38])/2 - (2611*s[39])/2 + (4679*s[40])/3 - 
       (4891*s[41])/4 + (5596*s[42])/3 + (81395*s[43])/66 - 
       (711295*s[44])/528 + (283687*s[45])/264 - (835283*s[46])/88 + 
       (479021*s[47])/1584 + (664877*s[48])/1584 - (8676911*s[49])/1584 + 
       (241621*s[50])/33 + (2177389*s[51])/1584 + (1804567*s[52])/1584 - 
       (310147*s[53])/66 + (3151*s[54])/11 - (15767639*s[55])/528 - 
       (12629161*s[56])/1584 + (25139417*s[57])/2376 - 
       (215777489*s[58])/14256 + (213704555*s[59])/14256 + 
       (760696235*s[60])/9504 - (470146475*s[61])/128304 + 4*s[70] + s[71] - 
       s[72] - 19*s[73] - (25*s[74])/4 - (11*s[75])/4 - 9*s[76] - 
       (7*s[77])/2 - s[78] + 296*s[79] - (559*s[80])/6 + 30*s[82] - 
       15*s[83] + 90*s[84] + 60*s[85]) + HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - w]*((13*s[2])/4 - (155*s[3])/8 + (9601*s[4])/16 + 
       (8227*s[5])/44 + (154863*s[6])/176 + (8411657*s[7])/1056 - 
       (1115503*s[8])/1584 - (121321*s[9])/18 - (142547*s[10])/72 - 
       (9497779*s[11])/1056 - (671321*s[12])/66 - (6743921*s[13])/1056 - 
       (449275*s[14])/1056 - (311877*s[15])/32 - (1711603*s[16])/132 - 
       (3172295*s[17])/352 - (141223*s[18])/108 - (519539*s[19])/432 - 
       (71590691*s[20])/4752 - (48320341*s[21])/9504 + 
       (40406705*s[22])/9504 + (2563783*s[23])/264 + (10392073*s[24])/1188 - 
       (505285643*s[25])/42768 + (258509171*s[26])/42768 + 10*s[30] - s[31] - 
       (7*s[32])/2 + (39*s[33])/8 + 9*s[34] - (7*s[35])/2 - (89*s[36])/3 + 
       (371*s[37])/12 + (691*s[38])/2 - (2611*s[39])/2 + (4679*s[40])/3 - 
       (4891*s[41])/4 + (5596*s[42])/3 + (81395*s[43])/66 - 
       (711295*s[44])/528 + (283687*s[45])/264 - (835283*s[46])/88 + 
       (479021*s[47])/1584 + (664877*s[48])/1584 - (8676911*s[49])/1584 + 
       (241621*s[50])/33 + (2177389*s[51])/1584 + (1804567*s[52])/1584 - 
       (310147*s[53])/66 + (3151*s[54])/11 - (15767639*s[55])/528 - 
       (12629161*s[56])/1584 + (25139417*s[57])/2376 - 
       (215777489*s[58])/14256 + (213704555*s[59])/14256 + 
       (760696235*s[60])/9504 - (470146475*s[61])/128304 + 4*s[70] + s[71] - 
       s[72] - 19*s[73] - (25*s[74])/4 - (11*s[75])/4 - 9*s[76] - 
       (7*s[77])/2 - s[78] + 296*s[79] - (559*s[80])/6 + 30*s[82] - 
       15*s[83] + 90*s[84] + 60*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      Omega2[u, v, w]*((181*s[2])/12 + (203*s[3])/24 + (51923*s[4])/48 + 
       (24721*s[5])/33 + (1009489*s[6])/528 + (164606449*s[7])/9504 - 
       (2235043*s[8])/1584 - (58599*s[9])/4 - (321785*s[10])/72 - 
       (60537265*s[11])/3168 - (1386191*s[12])/66 - (120478601*s[13])/9504 - 
       (6454273*s[14])/3168 - (19673023*s[15])/864 - (8635921*s[16])/297 - 
       (209922565*s[17])/9504 - (1033321*s[18])/324 - (3228869*s[19])/1296 - 
       (488200601*s[20])/14256 - (353294135*s[21])/28512 + 
       (86889161*s[22])/9504 + (48872629*s[23])/2376 + (826049*s[24])/44 - 
       (3128567791*s[25])/128304 + (1709594275*s[26])/128304 - s[30]/3 + 
       (17*s[31])/3 - (13*s[32])/6 - (5*s[33])/8 - (25*s[34])/3 - 
       (15*s[35])/2 - (400*s[36])/9 + (1063*s[37])/18 + (3853*s[38])/6 - 
       (20433*s[39])/8 + (206057*s[40])/72 - (53905*s[41])/24 + 
       (265285*s[42])/72 + (1769167*s[43])/792 - (939665*s[44])/396 + 
       (241100*s[45])/99 - (15486701*s[46])/792 + (1006117*s[47])/1188 + 
       (764669*s[48])/2376 - (12024271*s[49])/1188 + (2965921*s[50])/198 + 
       (6027829*s[51])/2376 + (4876735*s[52])/2376 - (12225083*s[53])/1188 + 
       (39278*s[54])/99 - (5730413*s[55])/88 - (6859601*s[56])/396 + 
       (15273791*s[57])/792 - (110176283*s[58])/3564 + 
       (222496453*s[59])/7128 + (1137957679*s[60])/7128 - 
       (1070004673*s[61])/128304 - 2*s[66] + 2*s[67] - 2*s[68] + 5*s[69] - 
       s[70] - 2*s[71] + 11*s[72] - (17*s[73])/3 - (51*s[74])/4 + 
       (51*s[75])/4 - 11*s[76] - (11*s[77])/6 + (37*s[78])/3 + 254*s[79] - 
       (497*s[80])/9 + 112*s[82] + 2*s[83] + 120*s[84] + 60*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Omega2[v, w, u]*
      ((47*s[2])/12 + (223*s[3])/24 + (50737*s[4])/48 + (164497*s[5])/264 + 
       (903857*s[6])/528 + (149097125*s[7])/9504 - (6263933*s[8])/4752 - 
       (1428895*s[9])/108 - (429413*s[10])/108 - (54996181*s[11])/3168 - 
       (15198787*s[12])/792 - (110540185*s[13])/9504 - (4862437*s[14])/3168 - 
       (17706875*s[15])/864 - (15591451*s[16])/594 - (187158833*s[17])/9504 - 
       (454487*s[18])/162 - (3020177*s[19])/1296 - (437565101*s[20])/14256 - 
       (103867757*s[21])/9504 + (236227687*s[22])/28512 + 
       (45231947*s[23])/2376 + (30292843*s[24])/1782 - 
       (318480713*s[25])/14256 + (171150293*s[26])/14256 + (17*s[30])/6 + 
       (4*s[31])/3 - (7*s[32])/3 - s[33]/4 - (31*s[34])/6 - (27*s[35])/2 - 
       (787*s[36])/18 + (1483*s[37])/36 + (3587*s[38])/6 - (4745*s[39])/2 + 
       (24101*s[40])/9 - (25429*s[41])/12 + (61577*s[42])/18 + 
       (417059*s[43])/198 - (3566605*s[44])/1584 + (1819007*s[45])/792 - 
       (14607577*s[46])/792 + (3478559*s[47])/4752 + (1909343*s[48])/4752 - 
       (45560261*s[49])/4752 + (2817341*s[50])/198 + (11251807*s[51])/4752 + 
       (9003109*s[52])/4752 - (5778041*s[53])/594 + (47303*s[54])/198 - 
       (10860689*s[55])/176 - (8603411*s[56])/528 + (41100409*s[57])/2376 - 
       (411847277*s[58])/14256 + (416344079*s[59])/14256 + 
       (4319956397*s[60])/28512 - (335794369*s[61])/42768 - 2*s[66] + 
       2*s[67] - 3*s[68] + 7*s[69] + s[70] - 2*s[71] + 9*s[72] - 
       (19*s[73])/3 - (49*s[74])/4 + (49*s[75])/4 - 5*s[76] - (25*s[77])/6 + 
       (23*s[78])/3 + 260*s[79] - (1121*s[80])/18 + 116*s[82] + 4*s[83] + 
       120*s[84] + 60*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*((31*s[2])/3 + (79*s[3])/8 + 
       (5687*s[4])/8 + (94849*s[5])/176 + (354037*s[6])/264 + 
       (114816095*s[7])/9504 - (13830853*s[8])/14256 - (13266947*s[9])/1296 - 
       (4154551*s[10])/1296 - (126327565*s[11])/9504 - 
       (138192089*s[12])/9504 - (83125961*s[13])/9504 - 
       (15319795*s[14])/9504 - (13707643*s[15])/864 - (96536119*s[16])/4752 - 
       (49345385*s[17])/3168 - (17411417*s[18])/7776 - 
       (13555249*s[19])/7776 - (1029711119*s[20])/42768 - 
       (747292243*s[21])/85536 + (272703367*s[22])/42768 + 
       (32612125*s[23])/2376 + (1122490913*s[24])/85536 - 
       (12985010029*s[25])/769824 + (223045481*s[26])/24057 + (19*s[30])/12 + 
       (19*s[31])/6 - (25*s[32])/24 - (59*s[33])/24 - 5*s[34] - 
       (61*s[35])/6 - (219*s[36])/8 + (406*s[37])/9 + (9925*s[38])/24 - 
       (55353*s[39])/32 + (187471*s[40])/96 - (49375*s[41])/32 + 
       (80275*s[42])/32 + (1600249*s[43])/1056 - (1732633*s[44])/1056 + 
       (2703317*s[45])/1584 - (43140079*s[46])/3168 + (1785181*s[47])/3168 + 
       (26024*s[48])/99 - (21972055*s[49])/3168 + (1385489*s[50])/132 + 
       (920353*s[51])/528 + (1087931*s[52])/792 - (68253191*s[53])/9504 + 
       (193943*s[54])/792 - (36021901*s[55])/792 - (115378327*s[56])/9504 + 
       (366335977*s[57])/28512 - (914179225*s[58])/42768 + 
       (459406037*s[59])/21384 + (706378523*s[60])/6336 - 
       (4548258137*s[61])/769824 - (5*s[68])/6 + (5*s[69])/6 + (5*s[70])/3 - 
       s[71]/24 + (19*s[72])/3 - (91*s[74])/12 + (91*s[75])/12 - 
       (16*s[76])/3 - 3*s[77] + (11*s[78])/3 + (359*s[79])/2 - 
       (488*s[80])/9 + 226*s[82] + 76*s[84] + 62*s[85]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((25*s[2])/4 - (413*s[3])/9 + (1015*s[4])/144 - (106747*s[5])/1584 + 
       (5903*s[6])/198 + (26212955*s[7])/57024 + (153151*s[8])/9504 - 
       (36605*s[9])/96 - (302927*s[10])/864 - (8340983*s[11])/19008 - 
       (564469*s[12])/1584 - (14113663*s[13])/57024 - (5083103*s[14])/19008 - 
       (3564425*s[15])/5184 - (25176227*s[16])/28512 - 
       (51129635*s[17])/57024 + (472597*s[18])/7776 - (52187*s[19])/243 - 
       (92298805*s[20])/85536 - (30095911*s[21])/171072 + 
       (16268647*s[22])/57024 - (1228769*s[23])/1782 + (1800995*s[24])/2376 - 
       (418073999*s[25])/769824 + (67059493*s[26])/384912 + s[28]/4 - 
       (83*s[30])/36 + (10*s[31])/9 - (91*s[32])/24 + (13*s[33])/24 - 
       (47*s[34])/18 - (109*s[35])/12 - (2971*s[36])/108 + (4559*s[37])/432 + 
       (4783*s[38])/72 - (21017*s[39])/48 + (250837*s[40])/432 - 
       (36985*s[41])/72 + (18068*s[42])/27 + (2649131*s[43])/4752 - 
       (12313325*s[44])/19008 + (6751951*s[45])/9504 - 
       (52243559*s[46])/9504 - (5266829*s[47])/57024 + 
       (31908727*s[48])/57024 - (154549297*s[49])/57024 + 
       (5424689*s[50])/1188 + (25947575*s[51])/57024 + 
       (15095801*s[52])/57024 - (88320157*s[53])/28512 - 
       (453401*s[54])/2376 - (126629755*s[55])/6336 - 
       (93971693*s[56])/19008 - (1628927*s[57])/9504 - 
       (1189241135*s[58])/171072 + (1232913179*s[59])/171072 + 
       (16663825477*s[60])/342144 - (1848953945*s[61])/769824 - s[64]/2 - 
       (5*s[65])/4 - (17*s[66])/6 + (23*s[67])/6 - (5*s[68])/6 + 
       (19*s[69])/2 + (13*s[70])/3 + (11*s[71])/24 + 5*s[72] - (68*s[73])/9 - 
       5*s[74] + 4*s[75] + s[76]/3 + (13*s[77])/18 + (95*s[78])/18 + 
       (1031*s[79])/6 - (12655*s[80])/216 + 481*s[82] + (31*s[83])/6 + 
       (91*s[84])/2 + (187*s[85])/3) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^3*
      ((19*s[2])/2 + (357*s[3])/16 + (47723*s[4])/96 + (34099*s[5])/88 + 
       (1050977*s[6])/1056 + (54982909*s[7])/6336 - (19450027*s[8])/28512 - 
       (2375401*s[9])/324 - (1526671*s[10])/648 - (180622135*s[11])/19008 - 
       (49088243*s[12])/4752 - (117499993*s[13])/19008 - 
       (25897351*s[14])/19008 - (20000153*s[15])/1728 - 
       (139735451*s[16])/9504 - (217815865*s[17])/19008 - 
       (6345983*s[18])/3888 - (9675575*s[19])/7776 - (1497827273*s[20])/
        85536 - (1093001497*s[21])/171072 + (780482201*s[22])/171072 + 
       (91554631*s[23])/9504 + (815650591*s[24])/85536 - 
       (9228299411*s[25])/769824 + (5146828715*s[26])/769824 + (7*s[30])/12 + 
       (3*s[31])/2 - (13*s[32])/6 - (49*s[33])/24 + (3*s[34])/2 - 
       (19*s[35])/6 - (1117*s[36])/72 + (1225*s[37])/72 + (6965*s[38])/24 - 
       (38161*s[39])/32 + (391501*s[40])/288 - (103145*s[41])/96 + 
       (497171*s[42])/288 + (3478151*s[43])/3168 - (7274713*s[44])/6336 + 
       (512999*s[45])/396 - (10508987*s[46])/1056 + (6877883*s[47])/19008 + 
       (5261345*s[48])/19008 - (93399353*s[49])/19008 + (3026041*s[50])/396 + 
       (22680805*s[51])/19008 + (18077803*s[52])/19008 - (349883*s[53])/66 + 
       (70001*s[54])/264 - (214225519*s[55])/6336 - (173245123*s[56])/19008 + 
       (59311889*s[57])/7128 - (2633944721*s[58])/171072 + 
       (2656083875*s[59])/171072 + (9328776683*s[60])/114048 - 
       (6821102045*s[61])/1539648 + (5*s[62])/12 + s[64]/12 - (2*s[66])/3 + 
       s[67]/3 + (2*s[68])/3 + (5*s[69])/6 + (4*s[70])/3 - s[71] + 
       (9*s[72])/2 - (5*s[73])/12 - (13*s[74])/3 + (103*s[75])/24 - 
       (13*s[76])/3 - (29*s[77])/12 + (31*s[78])/12 + (373*s[79])/3 - 
       (293*s[80])/9 - s[81]/72 + 202*s[82] - (5*s[83])/4 + (129*s[84])/2 + 
       63*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((16*s[2])/3 + (285*s[3])/8 - (1053*s[4])/16 + (4183*s[5])/88 + 
       (74497*s[6])/528 + (2426647*s[7])/9504 + (983069*s[8])/14256 - 
       (26653*s[9])/162 - (20230*s[10])/81 - (2233939*s[11])/9504 - 
       (240869*s[12])/2376 - (93343*s[13])/3168 - (5829379*s[14])/9504 - 
       (135403*s[15])/288 - (977461*s[16])/1584 - (8454293*s[17])/9504 - 
       (159115*s[18])/972 - (11147*s[19])/3888 - (42455621*s[20])/42768 - 
       (47156701*s[21])/85536 + (7306997*s[22])/85536 - 
       (1079195*s[23])/1584 + (21111529*s[24])/42768 - 
       (10589099*s[25])/384912 + (114489113*s[26])/384912 - (16*s[30])/3 + 
       (16*s[34])/3 + (64*s[35])/3 + (439*s[36])/36 - (587*s[37])/18 - 
       (65*s[38])/4 + (8437*s[39])/48 - (24619*s[40])/144 + (7195*s[41])/48 - 
       (45629*s[42])/144 - (5681*s[43])/1584 + (176863*s[44])/3168 + 
       (164341*s[45])/792 - (254501*s[46])/528 - (1882781*s[47])/9504 + 
       (3919081*s[48])/9504 + (948263*s[49])/9504 + (64511*s[50])/198 - 
       (2224867*s[51])/9504 - (1389997*s[52])/9504 - (46771*s[53])/176 - 
       (787*s[54])/264 - (2756993*s[55])/1056 - (9271643*s[56])/9504 - 
       (10822307*s[57])/3564 + (1832555*s[58])/85536 - 
       (14084417*s[59])/85536 + (312617707*s[60])/57024 - 
       (466528897*s[61])/769824 - (7*s[71])/4 + (8*s[74])/3 - (8*s[75])/3 - 
       (122*s[79])/3 + (299*s[80])/18 + 259*s[82] + 64*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - v]*
      (12*s[2] - (9*s[3])/4 + (2247*s[4])/8 + (9685*s[5])/44 + 
       (23553*s[6])/44 + (7618477*s[7])/1584 - (447949*s[8])/1188 - 
       (887131*s[9])/216 - (31582*s[10])/27 - (2121155*s[11])/396 - 
       (9419665*s[12])/1584 - (5730709*s[13])/1584 - (735797*s[14])/1584 - 
       (865363*s[15])/144 - (6223193*s[16])/792 - (757133*s[17])/132 - 
       (638525*s[18])/648 - (44546*s[19])/81 - (16716361*s[20])/1782 - 
       (48529937*s[21])/14256 + (36347689*s[22])/14256 + 
       (9679445*s[23])/1584 + (70680373*s[24])/14256 - 
       (877346483*s[25])/128304 + (475332485*s[26])/128304 + s[30] + 
       8*s[31] + (11*s[33])/4 - 14*s[34] + s[35] - (31*s[36])/2 + 
       (41*s[37])/6 + (619*s[38])/3 - (18703*s[39])/24 + (20779*s[40])/24 - 
       (5501*s[41])/8 + (26315*s[42])/24 + (193153*s[43])/264 - 
       (128309*s[44])/176 + (39599*s[45])/44 - (1747525*s[46])/264 + 
       (42533*s[47])/176 + (36879*s[48])/176 - (573891*s[49])/176 + 
       (667583*s[50])/132 + (1245419*s[51])/1584 + (112469*s[52])/176 - 
       (2768825*s[53])/792 + (2791*s[54])/33 - (11720197*s[55])/528 - 
       (9385817*s[56])/1584 + (6204677*s[57])/1188 - (144265459*s[58])/
        14256 + (144471037*s[59])/14256 + (171981331*s[60])/3168 - 
       (377796763*s[61])/128304 + 3*s[68] - s[69] + 2*s[70] - 2*s[71] + 
       4*s[72] - 4*s[74] + 4*s[75] - 10*s[76] + s[77] + 5*s[78] + 42*s[79] + 
       (22*s[80])/3 + 128*s[82] + 48*s[84] + 64*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Omega2[u, v, w]*
      ((71*s[2])/6 + (121*s[3])/12 + (12649*s[4])/24 + (60565*s[5])/132 + 
       (291079*s[6])/264 + (15663709*s[7])/1584 - (1787447*s[8])/2376 - 
       (453337*s[9])/54 - (74296*s[10])/27 - (17139185*s[11])/1584 - 
       (9294359*s[12])/792 - (11058205*s[13])/1584 - (2574419*s[14])/1584 - 
       (1898639*s[15])/144 - (3321149*s[16])/198 - (2309427*s[17])/176 - 
       (304601*s[18])/162 - (923881*s[19])/648 - (143401993*s[20])/7128 - 
       (105443345*s[21])/14256 + (74325745*s[22])/14256 + 
       (8400229*s[23])/792 + (77357465*s[24])/7128 - (870207973*s[25])/
        64152 + (489284503*s[26])/64152 + (2*s[30])/3 + (10*s[31])/3 - 
       (7*s[32])/3 - (7*s[33])/12 - (10*s[34])/3 - (31*s[35])/3 - 
       (67*s[36])/3 + (59*s[37])/2 + 304*s[38] - (3715*s[39])/3 + 
       (4208*s[40])/3 - (3314*s[41])/3 + (10669*s[42])/6 + (36511*s[43])/33 - 
       (315851*s[44])/264 + (178507*s[45])/132 - (455755*s[46])/44 + 
       (299557*s[47])/792 + (199765*s[48])/792 - (4052239*s[49])/792 + 
       (527843*s[50])/66 + (980417*s[51])/792 + (778043*s[52])/792 - 
       (1088509*s[53])/198 + (4981*s[54])/66 - (27821989*s[55])/792 - 
       (7442305*s[56])/792 + (10374377*s[57])/1188 - (114468425*s[58])/7128 + 
       (114946307*s[59])/7128 + (405645259*s[60])/4752 - 
       (296021897*s[61])/64152 - 2*s[66] + 2*s[67] + 2*s[68] + 2*s[69] + 
       2*s[70] + (14*s[72])/3 - 2*s[73] - (37*s[74])/6 + (37*s[75])/6 - 
       (8*s[76])/3 - s[77] + (22*s[78])/3 + 128*s[79] - (115*s[80])/3 + 
       276*s[82] + s[83] + 58*s[84] + 64*s[85]) + HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 1, 1}, 1 - w]*((1451*s[2])/48 - (3497*s[3])/96 - 
       (69029*s[4])/64 - (85897*s[5])/352 - (2054419*s[6])/2112 - 
       (379658387*s[7])/38016 + (66598777*s[8])/57024 + 
       (10599101*s[9])/1296 + (2246761*s[10])/1296 + (431340757*s[11])/
        38016 + (63083881*s[12])/4752 + (314987591*s[13])/38016 - 
       (42544583*s[14])/38016 + (42197221*s[15])/3456 + 
       (75664627*s[16])/4752 + (130676657*s[17])/12672 + (730883*s[18])/486 + 
       (25128677*s[19])/15552 + (2925788885*s[20])/171072 + 
       (1772802883*s[21])/342144 - (1790734235*s[22])/342144 - 
       (39397885*s[23])/2376 - (877652219*s[24])/85536 + 
       (24369217973*s[25])/1539648 - (11235006701*s[26])/1539648 + s[28]/4 + 
       3*s[29] - (39*s[30])/8 + (65*s[31])/6 + (55*s[32])/12 + 
       (551*s[33])/24 + (29*s[34])/24 - (235*s[35])/24 + (3875*s[36])/72 - 
       (19741*s[37])/144 - (13673*s[38])/24 + (4395*s[39])/2 - 
       (174305*s[40])/72 + (89189*s[41])/48 - (115331*s[42])/36 - 
       (171575*s[43])/99 + (12031187*s[44])/6336 - (5204915*s[45])/3168 + 
       (15231323*s[46])/1056 - (16057201*s[47])/19008 + 
       (2552159*s[48])/19008 + (149423083*s[49])/19008 - 
       (4359617*s[50])/396 - (42164729*s[51])/19008 - 
       (35265371*s[52])/19008 + (11935369*s[53])/1584 - (66661*s[54])/66 + 
       (294973031*s[55])/6336 + (230936165*s[56])/19008 - 
       (494512159*s[57])/28512 + (4002156373*s[58])/171072 - 
       (4042495003*s[59])/171072 - (13199795623*s[60])/114048 + 
       (8567363689*s[61])/1539648 + s[64]/2 + (7*s[65])/4 - (16*s[66])/3 + 
       (31*s[67])/12 + (83*s[68])/6 - s[69]/6 + (133*s[70])/6 - s[71]/6 - 
       (29*s[72])/12 + (157*s[73])/12 + (709*s[74])/48 - (583*s[75])/48 + 
       (9*s[76])/2 - (527*s[77])/24 + (259*s[78])/12 - (727*s[79])/3 + 
       (4301*s[80])/72 - s[81]/12 + (665*s[82])/2 - (45*s[83])/4 - 
       176*s[84] + 66*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*((305*s[2])/12 - 
       (4595*s[3])/72 + (53285*s[4])/48 + (166709*s[5])/198 + 
       (1101655*s[6])/528 + (182503621*s[7])/9504 - (63857621*s[8])/42768 - 
       (32003555*s[9])/1944 - (9607387*s[10])/1944 - (605247743*s[11])/
        28512 - (166680751*s[12])/7128 - (402687071*s[13])/28512 - 
       (72435293*s[14])/28512 - (64662073*s[15])/2592 - 
       (57180527*s[16])/1782 - (687788093*s[17])/28512 - 
       (41296733*s[18])/11664 - (15294221*s[19])/5832 - 
       (4918924513*s[20])/128304 - (3573031379*s[21])/256608 + 
       (2626793173*s[22])/256608 + (308445173*s[23])/14256 + 
       (333928189*s[24])/16038 - (7764522769*s[25])/288684 + 
       (17095189315*s[26])/1154736 + (61*s[30])/18 + 8*s[31] + 
       (121*s[32])/36 - (43*s[33])/72 - (170*s[34])/9 - (29*s[35])/18 - 
       (1531*s[36])/36 + (3557*s[37])/54 + (28693*s[38])/36 - 
       (143929*s[39])/48 + (487783*s[40])/144 - (386725*s[41])/144 + 
       (622637*s[42])/144 + (4068721*s[43])/1584 - (539545*s[44])/198 + 
       (6303653*s[45])/2376 - (103562695*s[46])/4752 + (2605387*s[47])/2376 + 
       (1128113*s[48])/4752 - (27377263*s[49])/2376 + (183639*s[50])/11 + 
       (4902685*s[51])/1584 + (11995963*s[52])/4752 - 
       (159311693*s[53])/14256 + (227473*s[54])/594 - 
       (337075633*s[55])/4752 - (135712595*s[56])/7128 + 
       (1058528059*s[57])/42768 - (4539486371*s[58])/128304 + 
       (4539248933*s[59])/128304 + (2537678717*s[60])/14256 - 
       (10486486943*s[61])/1154736 + (7*s[62])/2 - 2*s[66] + 3*s[67] - 
       (7*s[68])/3 + (19*s[69])/3 + (85*s[70])/3 - (65*s[71])/12 + 
       (25*s[72])/3 - (23*s[73])/3 - (503*s[74])/36 + (485*s[75])/36 - 
       (25*s[76])/3 - (545*s[77])/18 - (110*s[78])/9 + (3181*s[79])/9 - 
       (1894*s[80])/27 - s[81]/6 - (467*s[82])/3 - (43*s[83])/4 + 
       (245*s[84])/2 + (200*s[85])/3) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((-241*s[2])/12 + (41*s[3])/12 + 
       (29723*s[4])/48 + (2206*s[5])/33 + (264551*s[6])/528 + 
       (18840589*s[7])/3168 - (3707153*s[8])/7128 - (1623431*s[9])/324 - 
       (1741141*s[10])/1296 - (64570399*s[11])/9504 - (36860761*s[12])/4752 - 
       (47757739*s[13])/9504 + (4859603*s[14])/9504 - (6509723*s[15])/864 - 
       (46132223*s[16])/4752 - (61746331*s[17])/9504 - (2225233*s[18])/3888 - 
       (5255903*s[19])/3888 - (112188071*s[20])/10692 - 
       (266867671*s[21])/85536 + (275219693*s[22])/85536 + 
       (18768089*s[23])/2376 + (291331603*s[24])/42768 - 
       (7226048539*s[25])/769824 + (3305950057*s[26])/769824 + 
       (65*s[30])/12 - (37*s[31])/6 + 3*s[32] + (113*s[33])/48 - 
       (101*s[34])/12 - (70*s[35])/3 - (113*s[36])/9 - (143*s[37])/12 + 
       323*s[38] - (2193*s[39])/2 + (22909*s[40])/18 - (6335*s[41])/6 + 
       (27497*s[42])/18 + (230627*s[43])/198 - (1769761*s[44])/1584 + 
       (282181*s[45])/264 - (6904853*s[46])/792 + (574901*s[47])/4752 + 
       (2312285*s[48])/4752 - (23962127*s[49])/4752 + (686830*s[50])/99 + 
       (5279977*s[51])/4752 + (3895057*s[52])/4752 - (10896175*s[53])/2376 - 
       (121903*s[54])/396 - (46515419*s[55])/1584 - (33624977*s[56])/4752 + 
       (45920029*s[57])/7128 - (555257359*s[58])/42768 + 
       (579045727*s[59])/42768 + (2127219263*s[60])/28512 - 
       (316177585*s[61])/96228 + (19*s[66])/3 - (19*s[67])/3 - (19*s[68])/3 - 
       (19*s[69])/3 + (10*s[70])/3 - (41*s[71])/6 + (2*s[72])/3 - 4*s[73] - 
       (7*s[74])/3 + (19*s[75])/3 - 7*s[76] - 8*s[77] - 14*s[78] + 
       (526*s[79])/3 + (43*s[80])/6 + 94*s[82] + (35*s[83])/4 + 
       (217*s[84])/2 + 68*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*((19*s[2])/2 + (3863*s[3])/144 + 
       (58819*s[4])/96 + (627907*s[5])/1584 + (1179931*s[6])/1056 + 
       (47190713*s[7])/4752 - (35665175*s[8])/42768 - (64840061*s[9])/7776 - 
       (20557051*s[10])/7776 - (311707721*s[11])/28512 - 
       (342769813*s[12])/28512 - (205446167*s[13])/28512 - 
       (18268051*s[14])/14256 - (8488309*s[15])/648 - 
       (478200809*s[16])/28512 - (364925315*s[17])/28512 - 
       (42620767*s[18])/23328 - (34211075*s[19])/23328 - 
       (5078146961*s[20])/256608 - (910585933*s[21])/128304 + 
       (669234875*s[22])/128304 + (323393425*s[23])/28512 + 
       (2793665509*s[24])/256608 - (32183630513*s[25])/2309472 + 
       (17582831459*s[26])/2309472 + (19*s[30])/18 + (7*s[31])/3 - 
       (13*s[32])/72 - (8*s[33])/9 + (16*s[34])/9 - (67*s[35])/9 - 
       (1243*s[36])/72 + (4273*s[37])/108 + (21719*s[38])/72 - 
       (41269*s[39])/32 + (422665*s[40])/288 - (332819*s[41])/288 + 
       (537647*s[42])/288 + (410863*s[43])/352 - (3987377*s[44])/3168 + 
       (6616597*s[45])/4752 - (102706541*s[46])/9504 + (1266557*s[47])/3168 + 
       (248827*s[48])/792 - (5643545*s[49])/1056 + (6595741*s[50])/792 + 
       (6119369*s[51])/4752 + (1617637*s[52])/1584 - (162914245*s[53])/
        28512 + (553945*s[54])/2376 - (10847476*s[55])/297 - 
       (281349017*s[56])/28512 + (758817419*s[57])/85536 - 
       (2137892333*s[58])/128304 + (267372247*s[59])/16038 + 
       (5075298523*s[60])/57024 - (11131960093*s[61])/2309472 + (5*s[68])/6 - 
       (5*s[69])/6 + 4*s[70] + (19*s[71])/24 + (14*s[72])/3 - (97*s[74])/18 + 
       (97*s[75])/18 - (11*s[76])/3 - (71*s[77])/18 + (28*s[78])/9 + 
       (2543*s[79])/18 - (2729*s[80])/54 + (991*s[82])/3 + 56*s[84] + 
       (206*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - v]*((407*s[2])/72 + (4727*s[3])/144 + 
       (116357*s[4])/288 + (138907*s[5])/396 + (2625589*s[6])/3168 + 
       (141522845*s[7])/19008 - (15653635*s[8])/28512 - (8169475*s[9])/1296 - 
       (2747723*s[10])/1296 - (153992101*s[11])/19008 - 
       (82825819*s[12])/9504 - (98020345*s[13])/19008 - 
       (25185175*s[14])/19008 - (17520443*s[15])/1728 - 
       (30221549*s[16])/2376 - (193021243*s[17])/19008 - 
       (5335187*s[18])/3888 - (9142067*s[19])/7776 - (1304967293*s[20])/
        85536 - (950294461*s[21])/171072 + (667519541*s[22])/171072 + 
       (72666613*s[23])/9504 + (713173123*s[24])/85536 - 
       (7822236641*s[25])/769824 + (4393268357*s[26])/769824 + 
       (35*s[30])/36 + (2*s[31])/3 + (5*s[32])/36 - (23*s[33])/36 + 
       (65*s[34])/36 - (77*s[35])/36 - (269*s[36])/27 + (304*s[37])/27 + 
       (7945*s[38])/36 - (14161*s[39])/16 + (438659*s[40])/432 - 
       (115999*s[41])/144 + (543739*s[42])/432 + (4123705*s[43])/4752 - 
       (2148353*s[44])/2376 + (2628775*s[45])/2376 - (12858623*s[46])/1584 + 
       (2890781*s[47])/14256 + (596947*s[48])/1782 - (28138417*s[49])/7128 + 
       (15029765*s[50])/2376 + (12410311*s[51])/14256 + 
       (9843481*s[52])/14256 - (10476131*s[53])/2376 + (70309*s[54])/792 - 
       (8424019*s[55])/297 - (13151483*s[56])/1782 + (192769003*s[57])/
        42768 - (382108967*s[58])/32076 + (1556563001*s[59])/128304 + 
       (2907335341*s[60])/42768 - (8445231679*s[61])/2309472 - s[68]/6 + 
       s[69]/6 + (11*s[70])/9 - s[71]/2 + (7*s[72])/2 - (3*s[73])/2 - 
       (77*s[74])/24 + (71*s[75])/24 - (2*s[76])/3 - (89*s[77])/36 + 
       (5*s[78])/2 + (838*s[79])/9 - (785*s[80])/27 + 274*s[82] + 42*s[84] + 
       (208*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1, 1}, 1 - w]*((181*s[2])/24 + (613*s[3])/48 + 
       (49309*s[4])/96 + (15854*s[5])/33 + (1148291*s[6])/1056 + 
       (193748879*s[7])/19008 - (781411*s[8])/1056 - (311905*s[9])/36 - 
       (141485*s[10])/48 - (70180067*s[11])/6336 - (6263105*s[12])/528 - 
       (134584831*s[13])/19008 - (11254151*s[14])/6336 - 
       (24035537*s[15])/1728 - (41235143*s[16])/2376 - 
       (264679391*s[17])/19008 - (1136543*s[18])/648 - (4455115*s[19])/2592 - 
       (593288143*s[20])/28512 - (435189265*s[21])/57024 + 
       (3775773*s[22])/704 + (23318179*s[23])/2376 + (54752879*s[24])/4752 - 
       (3558295115*s[25])/256608 + (2004142355*s[26])/256608 + s[30]/3 + 
       (11*s[31])/6 + (31*s[32])/12 - (17*s[33])/48 - (41*s[34])/6 - 
       (353*s[35])/12 - (245*s[36])/12 + (1607*s[37])/72 + (1243*s[38])/4 - 
       (2537*s[39])/2 + (17107*s[40])/12 - (9233*s[41])/8 + 
       (21587*s[42])/12 + (27875*s[43])/22 - (1322521*s[44])/1056 + 
       (2336545*s[45])/1584 - (17703811*s[46])/1584 + (317993*s[47])/1056 + 
       (145099*s[48])/352 - (6079891*s[49])/1056 + (192931*s[50])/22 + 
       (420819*s[51])/352 + (977011*s[52])/1056 - (14572363*s[53])/2376 - 
       (35671*s[54])/396 - (124496099*s[55])/3168 - (93869981*s[56])/9504 + 
       (86686981*s[57])/14256 - (1389553705*s[58])/85536 + 
       (1443618775*s[59])/85536 + (1793196121*s[60])/19008 - 
       (3718018105*s[61])/769824 + 10*s[70] + (23*s[72])/6 + s[73]/6 - 
       (85*s[74])/24 + (85*s[75])/24 - (11*s[76])/3 - (143*s[77])/12 + 
       (23*s[78])/6 + (364*s[79])/3 - (1081*s[80])/36 + 381*s[82] - 3*s[83] + 
       19*s[84] + 70*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w]*((101*s[2])/12 + (1433*s[3])/24 + 
       (9469*s[4])/48 + (117107*s[5])/264 + (374509*s[6])/528 + 
       (57912067*s[7])/9504 - (624803*s[8])/1584 - (46316*s[9])/9 - 
       (137089*s[10])/72 - (20216287*s[11])/3168 - (1721671*s[12])/264 - 
       (34494503*s[13])/9504 - (5832595*s[14])/3168 - (7761577*s[15])/864 - 
       (25714625*s[16])/2376 - (90851887*s[17])/9504 - (826559*s[18])/648 - 
       (1184681*s[19])/1296 - (188959223*s[20])/14256 - 
       (145130297*s[21])/28512 + (29680567*s[22])/9504 + 
       (13328719*s[23])/2376 + (4109711*s[24])/594 - (61493932*s[25])/8019 + 
       (301371893*s[26])/64152 - (2*s[30])/3 + (7*s[31])/3 - (7*s[32])/6 + 
       (155*s[33])/24 + (55*s[34])/6 + (383*s[35])/12 + (137*s[36])/18 + 
       (10*s[37])/3 + (799*s[38])/6 - (1517*s[39])/3 + (10471*s[40])/18 - 
       (1255*s[41])/3 + (6256*s[42])/9 + (114839*s[43])/198 - 
       (879391*s[44])/1584 + (279787*s[45])/264 - (5208875*s[46])/792 + 
       (420665*s[47])/4752 + (1371197*s[48])/4752 - (12552923*s[49])/4752 + 
       (2018221*s[50])/396 + (1971949*s[51])/4752 + (1687927*s[52])/4752 - 
       (1157810*s[53])/297 + (90641*s[54])/396 - (40360315*s[55])/1584 - 
       (31210805*s[56])/4752 - (3330911*s[57])/7128 - 
       (369496273*s[58])/42768 + (389611831*s[59])/42768 + 
       (1579897139*s[60])/28512 - (1304990365*s[61])/384912 - 7*s[70] + 
       (13*s[72])/3 - s[73]/3 + s[74]/12 - s[75]/12 - (25*s[76])/6 + 
       (29*s[77])/6 + (13*s[78])/3 + (8*s[79])/3 - 7*s[80] + 417*s[82] - 
       3*s[83] + 19*s[84] + 70*s[85]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 0, 1, 1}, 1 - w]*((39*s[2])/2 - (1051*s[3])/4 - 
       (27607*s[4])/8 - (86561*s[5])/44 - (427411*s[6])/88 - 
       (74159291*s[7])/1584 + (10871959*s[8])/2376 + (4224367*s[9])/108 + 
       (1200131*s[10])/108 + (81195913*s[11])/1584 + (22388309*s[12])/396 + 
       (53821535*s[13])/1584 + (3065089*s[14])/1584 + (9003505*s[15])/144 + 
       (30829319*s[16])/396 + (10399307*s[17])/176 + (2804447*s[18])/324 + 
       (4348889*s[19])/648 + (633285599*s[20])/7128 + 
       (452698699*s[21])/14256 - (346562255*s[22])/14256 - 
       (12843575*s[23])/198 - (86569321*s[24])/1782 + 
       (1074825377*s[25])/16038 - (1144664971*s[26])/32076 - 24*s[30] - 
       18*s[31] + s[32] - (63*s[33])/2 + 67*s[34] + 72*s[35] + 
       (578*s[36])/3 - (1669*s[37])/6 - 1673*s[38] + 7444*s[39] - 
       (23906*s[40])/3 + 6122*s[41] - (33004*s[42])/3 - (186232*s[43])/33 + 
       (1616975*s[44])/264 - (203915*s[45])/33 + (566586*s[46])/11 - 
       (2791849*s[47])/792 + (1665263*s[48])/792 + (20189635*s[49])/792 - 
       (1289281*s[50])/33 - (6017933*s[51])/792 - (4958483*s[52])/792 + 
       (3705415*s[53])/132 - (70843*s[54])/22 + (15167093*s[55])/88 + 
       (36228425*s[56])/792 - (35332397*s[57])/594 + (595058227*s[58])/7128 - 
       (607509367*s[59])/7128 - (1912114729*s[60])/4752 + 
       (354277447*s[61])/16038 + 9*s[62] + 2*s[64] + 6*s[65] + 8*s[66] - 
       18*s[67] + 4*s[68] - 28*s[69] + 68*s[70] - 13*s[71] - 78*s[72] + 
       34*s[73] + (119*s[74])/2 - (113*s[75])/2 + 67*s[76] - 37*s[77] - 
       94*s[78] - 368*s[79] + (209*s[80])/3 - s[81]/3 + 1518*s[82] - 
       51*s[83] - 72*s[84] + 72*s[85]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1, 1}, 1 - v]*((-167*s[2])/2 + (375*s[3])/4 - 
       (21225*s[4])/8 - (105231*s[5])/44 - (428729*s[6])/88 - 
       (7967983*s[7])/176 + (9545341*s[8])/2376 + (4170061*s[9])/108 + 
       (1178855*s[10])/108 + (78049885*s[11])/1584 + (21276305*s[12])/396 + 
       (50485243*s[13])/1584 + (8893177*s[14])/1584 + (8699441*s[15])/144 + 
       (14955605*s[16])/198 + (92712931*s[17])/1584 + (738425*s[18])/81 + 
       (3350381*s[19])/648 + (638140907*s[20])/7128 + 
       (473971195*s[21])/14256 - (339638699*s[22])/14256 - 
       (22629647*s[23])/396 - (165889475*s[24])/3564 + 
       (4010571665*s[25])/64152 - (2241444959*s[26])/64152 - 2*s[28] + 
       28*s[29] - 18*s[30] - 32*s[31] + 22*s[32] - 72*s[33] + 114*s[34] + 
       72*s[35] + (578*s[36])/3 - (1669*s[37])/6 - 1673*s[38] + 7444*s[39] - 
       (23906*s[40])/3 + 6122*s[41] - (33004*s[42])/3 - (186232*s[43])/33 + 
       (1616975*s[44])/264 - (203915*s[45])/33 + (566586*s[46])/11 - 
       (2791849*s[47])/792 + (1665263*s[48])/792 + (20189635*s[49])/792 - 
       (1289281*s[50])/33 - (6017933*s[51])/792 - (4958483*s[52])/792 + 
       (3705415*s[53])/132 - (70843*s[54])/22 + (15167093*s[55])/88 + 
       (36228425*s[56])/792 - (35332397*s[57])/594 + (595058227*s[58])/7128 - 
       (607509367*s[59])/7128 - (1912114729*s[60])/4752 + 
       (354277447*s[61])/16038 + 9*s[62] + 2*s[64] + 6*s[65] + 8*s[66] - 
       18*s[67] + 4*s[68] - 28*s[69] + 68*s[70] - 13*s[71] - 78*s[72] + 
       34*s[73] + (119*s[74])/2 - (113*s[75])/2 + 67*s[76] - 37*s[77] - 
       94*s[78] - 368*s[79] + (209*s[80])/3 - s[81]/3 + 1518*s[82] - 
       51*s[83] - 72*s[84] + 72*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v]*((21*s[2])/2 - (663*s[3])/8 - 
       (19799*s[4])/16 - (101469*s[5])/176 - (135851*s[6])/88 - 
       (5026797*s[7])/352 + (852769*s[8])/594 + (5112661*s[9])/432 + 
       (1190705*s[10])/432 + (50759099*s[11])/3168 + (28905377*s[12])/1584 + 
       (35757395*s[13])/3168 - (933979*s[14])/3168 + (5208037*s[15])/288 + 
       (36681589*s[16])/1584 + (51301895*s[17])/3168 + (3425765*s[18])/1296 + 
       (2375875*s[19])/1296 + (369871429*s[20])/14256 + 
       (262040897*s[21])/28512 - (212490247*s[22])/28512 - 
       (35863307*s[23])/1584 - (205594943*s[24])/14256 + 
       (5482911281*s[25])/256608 - (2839253225*s[26])/256608 - (9*s[30])/2 - 
       6*s[31] - (15*s[32])/4 + (39*s[33])/8 + (69*s[34])/2 + 18*s[35] + 
       (109*s[36])/2 - (527*s[37])/6 - (3301*s[38])/4 + 2977*s[39] - 
       3164*s[40] + (19563*s[41])/8 - (33753*s[42])/8 - (56747*s[43])/22 + 
       (214881*s[44])/88 - (682817*s[45])/264 + (5477093*s[46])/264 - 
       (38059*s[47])/33 + (4151*s[48])/132 + (1467883*s[49])/132 - 
       (1370881*s[50])/88 - (735175*s[51])/264 - (618991*s[52])/264 + 
       (8742391*s[53])/792 - (150415*s[54])/264 + (2276488*s[55])/33 + 
       (7105465*s[56])/396 - (27069853*s[57])/1188 + (29832635*s[58])/891 - 
       (30706166*s[59])/891 - (87805999*s[60])/528 + (1093004477*s[61])/
        128304 - 2*s[64] - (9*s[65])/4 + 4*s[66] + 9*s[68] - 13*s[69] + 
       (27*s[70])/2 + (33*s[71])/4 - 18*s[72] - 18*s[73] + (15*s[74])/2 - 
       (39*s[75])/2 + (39*s[76])/2 - (27*s[77])/2 - 31*s[78] - 70*s[79] - 
       (188*s[80])/3 + 609*s[82] - (27*s[83])/2 - 63*s[84] + 72*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((56*s[2])/3 + 35*s[3] + (4741*s[4])/6 + (27337*s[5])/44 + 
       (195259*s[6])/132 + (1325891*s[7])/99 - (1320445*s[8])/1188 - 
       (1225625*s[9])/108 - (364621*s[10])/108 - (2932957*s[11])/198 - 
       (3232019*s[12])/198 - (652013*s[13])/66 - (147368*s[14])/99 - 
       (70357*s[15])/4 - (1478089*s[16])/66 - (6707335*s[17])/396 - 
       (795499*s[18])/324 - (156671*s[19])/81 - (23530514*s[20])/891 - 
       (34133699*s[21])/3564 + (12557015*s[22])/1782 + (2108159*s[23])/132 + 
       (51969055*s[24])/3564 - (1215671365*s[25])/64152 + 
       (664349761*s[26])/64152 + 2*s[30] + 12*s[31] + (5*s[33])/3 - 
       (38*s[34])/3 - (38*s[35])/3 - (253*s[36])/9 + (419*s[37])/6 + 
       519*s[38] - (7789*s[39])/4 + (77161*s[40])/36 - (6531*s[41])/4 + 
       (98411*s[42])/36 + (719507*s[43])/396 - (1422847*s[44])/792 + 
       (273247*s[45])/132 - (1549784*s[46])/99 + (1471739*s[47])/2376 + 
       (893513*s[48])/2376 - (19125209*s[49])/2376 + (1172450*s[50])/99 + 
       (4297357*s[51])/2376 + (3642025*s[52])/2376 - (4923263*s[53])/594 + 
       (55361*s[54])/198 - (41804399*s[55])/792 - (33049271*s[56])/2376 + 
       (23499125*s[57])/1782 - (517696195*s[58])/21384 + 
       (526492651*s[59])/21384 + (1836615965*s[60])/14256 - 
       (163437404*s[61])/24057 - s[62] + 2*s[68] - 4*s[69] + 4*s[70] - 
       s[71]/3 + 8*s[72] - (11*s[74])/3 + (11*s[75])/3 - 16*s[76] + 
       10*s[78] + 108*s[79] - (59*s[80])/3 + 230*s[82] - 6*s[83] + 36*s[84] + 
       72*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((56*s[2])/3 + (457*s[3])/6 + (3261*s[4])/4 + 
       (23554*s[5])/33 + (226673*s[6])/132 + (35074811*s[7])/2376 - 
       (4022323*s[8])/3564 - (2016157*s[9])/162 - (325564*s[10])/81 - 
       (38556715*s[11])/2376 - (10457969*s[12])/594 - (25234181*s[13])/2376 - 
       (5376463*s[14])/2376 - (4269781*s[15])/216 - (29760403*s[16])/1188 - 
       (15558223*s[17])/792 - (1306259*s[18])/486 - (2243327*s[19])/972 - 
       (317258615*s[20])/10692 - (234213469*s[21])/21384 + 
       (165202253*s[22])/21384 + (18762785*s[23])/1188 + 
       (176218705*s[24])/10692 - (1969768415*s[25])/96228 + 
       (1102679363*s[26])/96228 + 4*s[30] + 4*s[31] + 2*s[32] - (5*s[33])/2 - 
       (4*s[34])/3 - (38*s[35])/3 - (253*s[36])/9 + (419*s[37])/6 + 
       519*s[38] - (7789*s[39])/4 + (77161*s[40])/36 - (6531*s[41])/4 + 
       (98411*s[42])/36 + (719507*s[43])/396 - (1422847*s[44])/792 + 
       (273247*s[45])/132 - (1549784*s[46])/99 + (1471739*s[47])/2376 + 
       (893513*s[48])/2376 - (19125209*s[49])/2376 + (1172450*s[50])/99 + 
       (4297357*s[51])/2376 + (3642025*s[52])/2376 - (4923263*s[53])/594 + 
       (55361*s[54])/198 - (41804399*s[55])/792 - (33049271*s[56])/2376 + 
       (23499125*s[57])/1782 - (517696195*s[58])/21384 + 
       (526492651*s[59])/21384 + (1836615965*s[60])/14256 - 
       (163437404*s[61])/24057 - s[62] + 2*s[68] - 4*s[69] + 4*s[70] - 
       s[71]/3 + 8*s[72] - (11*s[74])/3 + (11*s[75])/3 - 16*s[76] + 
       10*s[78] + 108*s[79] - (59*s[80])/3 + 230*s[82] - 6*s[83] + 36*s[84] + 
       72*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*((26*s[2])/3 + (97*s[3])/2 + (8945*s[4])/12 + 
       (60689*s[5])/132 + (13797*s[6])/11 + (8953279*s[7])/792 - 
       (588983*s[8])/594 - (1021109*s[9])/108 - (313267*s[10])/108 - 
       (9853957*s[11])/792 - (5420803*s[12])/396 - (2172583*s[13])/264 - 
       (925891*s[14])/792 - (1081307*s[15])/72 - (2512651*s[16])/132 - 
       (11511245*s[17])/792 - (652093*s[18])/324 - (559139*s[19])/324 - 
       (79139117*s[20])/3564 - (56249131*s[21])/7128 + 
       (42164717*s[22])/7128 + (1810669*s[23])/132 + (44011651*s[24])/3564 - 
       (1027227889*s[25])/64152 + (553344553*s[26])/64152 + 2*s[30] + 
       4*s[31] + (29*s[33])/3 - 4*s[34] - 14*s[35] - (82*s[36])/9 + 
       (307*s[37])/6 + (1151*s[38])/3 - (4676*s[39])/3 + (15778*s[40])/9 - 
       (8231*s[41])/6 + (40405*s[42])/18 + (143090*s[43])/99 - 
       (596897*s[44])/396 + (223901*s[45])/132 - (5174585*s[46])/396 + 
       (573031*s[47])/1188 + (392323*s[48])/1188 - (7710529*s[49])/1188 + 
       (994943*s[50])/99 + (1810973*s[51])/1188 + (1430045*s[52])/1188 - 
       (8357863*s[53])/1188 + (55559*s[54])/198 - (17704351*s[55])/396 - 
       (14073973*s[56])/1188 + (9151390*s[57])/891 - (106820773*s[58])/5346 + 
       (217280345*s[59])/10692 + (96098921*s[60])/891 - 
       (1115399071*s[61])/192456 - (4*s[62])/3 - 2*s[68] + 4*s[70] - 
       s[71]/3 + 8*s[72] - (11*s[74])/3 + (11*s[75])/3 - 8*s[76] - 4*s[77] + 
       4*s[78] + 156*s[79] - (151*s[80])/3 + 266*s[82] - 6*s[83] + 36*s[84] + 
       72*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((56*s[2])/3 - (25*s[3])/6 + (7309*s[4])/12 + 
       (6880*s[5])/11 + (185275*s[6])/132 + (29265785*s[7])/2376 - 
       (3313273*s[8])/3564 - (1697725*s[9])/162 - (278824*s[10])/81 - 
       (31925845*s[11])/2376 - (8597141*s[12])/594 - (20472587*s[13])/2376 - 
       (5384641*s[14])/2376 - (3583615*s[15])/216 - (24956095*s[16])/1188 - 
       (13233281*s[17])/792 - (1118639*s[18])/486 - (1748429*s[19])/972 - 
       (269255309*s[20])/10692 - (199617547*s[21])/21384 + 
       (138764243*s[22])/21384 + (15232301*s[23])/1188 + 
       (145895479*s[24])/10692 - (1612977251*s[25])/96228 + 
       (915375299*s[26])/96228 - (2*s[30])/3 + 4*s[31] + 2*s[32] - 
       (5*s[33])/2 - (4*s[34])/3 - 14*s[35] - (82*s[36])/9 + (307*s[37])/6 + 
       (1151*s[38])/3 - (4676*s[39])/3 + (15778*s[40])/9 - (8231*s[41])/6 + 
       (40405*s[42])/18 + (143090*s[43])/99 - (596897*s[44])/396 + 
       (223901*s[45])/132 - (5174585*s[46])/396 + (573031*s[47])/1188 + 
       (392323*s[48])/1188 - (7710529*s[49])/1188 + (994943*s[50])/99 + 
       (1810973*s[51])/1188 + (1430045*s[52])/1188 - (8357863*s[53])/1188 + 
       (55559*s[54])/198 - (17704351*s[55])/396 - (14073973*s[56])/1188 + 
       (9151390*s[57])/891 - (106820773*s[58])/5346 + 
       (217280345*s[59])/10692 + (96098921*s[60])/891 - 
       (1115399071*s[61])/192456 - (4*s[62])/3 - 2*s[68] + 4*s[70] - 
       s[71]/3 + 8*s[72] - (11*s[74])/3 + (11*s[75])/3 - 8*s[76] - 4*s[77] + 
       4*s[78] + 156*s[79] - (151*s[80])/3 + 266*s[82] - 6*s[83] + 36*s[84] + 
       72*s[85]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((35*s[2])/8 + (1997*s[3])/48 + (32805*s[4])/32 + (14249*s[5])/24 + 
       (54105*s[6])/32 + (26457463*s[7])/1728 - (3416813*s[8])/2592 - 
       (8325443*s[9])/648 - (5130455*s[10])/1296 - (29170739*s[11])/1728 - 
       (16068977*s[12])/864 - (19343221*s[13])/1728 - (2716577*s[14])/1728 - 
       (34950995*s[15])/1728 - (22269353*s[16])/864 - (11254115*s[17])/576 - 
       (21023935*s[18])/7776 - (9153241*s[19])/3888 - (58495849*s[20])/1944 - 
       (166024439*s[21])/15552 + (125136679*s[22])/15552 + 
       (15808453*s[23])/864 + (130352603*s[24])/7776 - 
       (1520098471*s[25])/69984 + (818250517*s[26])/69984 + (23*s[30])/12 - 
       (23*s[32])/12 - (95*s[33])/48 + (5*s[34])/6 - (187*s[35])/12 - 
       (955*s[36])/36 + (3385*s[37])/72 + (4673*s[38])/9 - 
       (152525*s[39])/72 + (172783*s[40])/72 - (45439*s[41])/24 + 
       (110401*s[42])/36 + (500975*s[43])/264 - (12718961*s[44])/6336 + 
       (1717003*s[45])/792 - (13482781*s[46])/792 + (12755923*s[47])/19008 + 
       (6687091*s[48])/19008 - (163043893*s[49])/19008 + 
       (1729499*s[50])/132 + (4489147*s[51])/2112 + (31982825*s[52])/19008 - 
       (21512255*s[53])/2376 + (569563*s[54])/1584 - (121444267*s[55])/2112 - 
       (291565159*s[56])/19008 + (436689281*s[57])/28512 - 
       (4543723067*s[58])/171072 + (4593913025*s[59])/171072 + 
       (15945264799*s[60])/114048 - (11429003219*s[61])/1539648 - s[62]/3 + 
       (5*s[66])/6 - (5*s[67])/6 - (13*s[68])/6 - (3*s[69])/2 + 
       (17*s[70])/6 - s[71] + (35*s[72])/6 - (23*s[73])/6 - (185*s[74])/24 + 
       (185*s[75])/24 - (14*s[76])/3 - (35*s[77])/12 + s[78]/6 + 
       (727*s[79])/3 - (829*s[80])/12 + 298*s[82] + 2*s[83] + 92*s[84] + 
       72*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - v]*(13*s[2] + 3*s[3] + (5455*s[4])/4 + 
       (2753*s[5])/4 + (9027*s[6])/4 + (469225*s[7])/24 - (46207*s[8])/27 - 
       (893603*s[9])/54 - (250333*s[10])/54 - (393337*s[11])/18 - 
       (1772213*s[12])/72 - (1083007*s[13])/72 - (124621*s[14])/72 - 
       (1762915*s[15])/72 - (577921*s[16])/18 - (413269*s[17])/18 - 
       (302129*s[18])/81 - (776647*s[19])/324 - (6148045*s[20])/162 - 
       (8736247*s[21])/648 + (6725747*s[22])/648 + (1796483*s[23])/72 + 
       (13355717*s[24])/648 - (164436361*s[25])/5832 + 
       (88173817*s[26])/5832 + 31*s[30] + 6*s[31] - 2*s[32] + (15*s[33])/4 - 
       15*s[34] - 52*s[35] - (77*s[36])/3 + (153*s[37])/2 + 819*s[38] - 
       (12753*s[39])/4 + (43799*s[40])/12 - (11475*s[41])/4 + 
       (55261*s[42])/12 + (365245*s[43])/132 - (196925*s[44])/66 + 
       (122237*s[45])/44 - (767395*s[46])/33 + (212647*s[47])/198 + 
       (202379*s[48])/396 - (2440753*s[49])/198 + (1160963*s[50])/66 + 
       (1290931*s[51])/396 + (1069273*s[52])/396 - (1165838*s[53])/99 + 
       (32069*s[54])/33 - (9875593*s[55])/132 - (2044745*s[56])/99 + 
       (31908275*s[57])/1188 - (67379945*s[58])/1782 + 
       (133703047*s[59])/3564 + (450867005*s[60])/2376 - 
       (627866039*s[61])/64152 - s[64] + 2*s[67] + 8*s[68] + 2*s[69] + 
       26*s[70] - 6*s[71] + 8*s[72] - 8*s[73] - 12*s[74] + 12*s[75] - 
       34*s[77] - 4*s[78] + 456*s[79] - 141*s[80] - s[81]/6 + 48*s[82] - 
       18*s[83] + 132*s[84] + 72*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w]*(5*s[2] + (59*s[3])/2 + 1465*s[4] + 
       (18103*s[5])/22 + (114545*s[6])/44 + (17455987*s[7])/792 - 
       (718625*s[8])/396 - (333821*s[9])/18 - (100795*s[10])/18 - 
       (1078257*s[11])/44 - (7177075*s[12])/264 - (13233773*s[13])/792 - 
       (212213*s[14])/88 - (2043559*s[15])/72 - (14568619*s[16])/396 - 
       (2713232*s[17])/99 - (15527*s[18])/4 - (118169*s[19])/36 - 
       (5678995*s[20])/132 - (36377527*s[21])/2376 + (27605575*s[22])/2376 + 
       (20530579*s[23])/792 + (57403873*s[24])/2376 - 
       (337053455*s[25])/10692 + (45329078*s[26])/2673 + s[28] + 6*s[29] + 
       3*s[30] + 10*s[31] - 2*s[32] - (111*s[33])/4 + 15*s[34] - 52*s[35] - 
       (77*s[36])/3 + (153*s[37])/2 + 819*s[38] - (12753*s[39])/4 + 
       (43799*s[40])/12 - (11475*s[41])/4 + (55261*s[42])/12 + 
       (365245*s[43])/132 - (196925*s[44])/66 + (122237*s[45])/44 - 
       (767395*s[46])/33 + (212647*s[47])/198 + (202379*s[48])/396 - 
       (2440753*s[49])/198 + (1160963*s[50])/66 + (1290931*s[51])/396 + 
       (1069273*s[52])/396 - (1165838*s[53])/99 + (32069*s[54])/33 - 
       (9875593*s[55])/132 - (2044745*s[56])/99 + (31908275*s[57])/1188 - 
       (67379945*s[58])/1782 + (133703047*s[59])/3564 + 
       (450867005*s[60])/2376 - (627866039*s[61])/64152 - s[64] + 2*s[67] + 
       8*s[68] + 2*s[69] + 26*s[70] - 6*s[71] + 8*s[72] - 8*s[73] - 
       12*s[74] + 12*s[75] - 34*s[77] - 4*s[78] + 456*s[79] - 141*s[80] - 
       s[81]/6 + 48*s[82] - 18*s[83] + 132*s[84] + 72*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((221*s[2])/6 + (355*s[3])/12 + (23869*s[4])/24 + (123583*s[5])/132 + 
       (532669*s[6])/264 + (29164499*s[7])/1584 - (3212983*s[8])/2376 - 
       (1694761*s[9])/108 - (542567*s[10])/108 - (31762351*s[11])/1584 - 
       (8568887*s[12])/396 - (20369225*s[13])/1584 - (4818343*s[14])/1584 - 
       (3572413*s[15])/144 - (24627835*s[16])/792 - (12944299*s[17])/528 - 
       (579679*s[18])/162 - (1678187*s[19])/648 - (266439257*s[20])/7128 - 
       (196782589*s[21])/14256 + (138120233*s[22])/14256 + 
       (15930149*s[23])/792 + (142867039*s[24])/7128 - 
       (1614858371*s[25])/64152 + (910722095*s[26])/64152 + 5*s[29] - 
       (4*s[30])/3 + (28*s[31])/3 + (14*s[32])/3 - (23*s[33])/6 - 
       (22*s[34])/3 - (34*s[35])/3 - (97*s[36])/3 + 51*s[37] + 
       (1243*s[38])/2 - (7210*s[39])/3 + (8090*s[40])/3 - (25547*s[41])/12 + 
       (41141*s[42])/12 + (70414*s[43])/33 - (147293*s[44])/66 + 
       (343435*s[45])/132 - (863257*s[46])/44 + (301247*s[47])/396 + 
       (149381*s[48])/396 - (3825803*s[49])/396 + (1993741*s[50])/132 + 
       (481967*s[51])/198 + (193027*s[52])/99 - (4154459*s[53])/396 + 
       (60725*s[54])/132 - (26452223*s[55])/396 - (6969761*s[56])/396 + 
       (19013261*s[57])/1188 - (107666527*s[58])/3564 + 
       (108657499*s[59])/3564 + (190966075*s[60])/1188 - 
       (552980393*s[61])/64152 + 2*s[64] + (3*s[65])/2 + 2*s[66] - 6*s[67] - 
       8*s[68] - 2*s[69] - 3*s[70] - (7*s[71])/2 + (8*s[72])/3 + 16*s[73] - 
       (32*s[74])/3 + (32*s[75])/3 - (8*s[76])/3 + 10*s[77] + (22*s[78])/3 + 
       220*s[79] - (133*s[80])/3 + 208*s[82] + s[83] + 142*s[84] + 
       72*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - w]*(s[2]/3 + (739*s[3])/12 + (26905*s[4])/24 + 
       (23437*s[5])/33 + (483391*s[6])/264 + (2992381*s[7])/176 - 
       (1130653*s[8])/792 - (128473*s[9])/9 - (39752*s[10])/9 - 
       (9862727*s[11])/528 - (903145*s[12])/44 - (2168739*s[13])/176 - 
       (982991*s[14])/528 - (358799*s[15])/16 - (2506313*s[16])/88 - 
       (11452261*s[17])/528 - (83264*s[18])/27 - (562805*s[19])/216 - 
       (79527947*s[20])/2376 - (56444341*s[21])/4752 + 
       (42327221*s[22])/4752 + (5279611*s[23])/264 + (43971415*s[24])/2376 - 
       (64162195*s[25])/2673 + (34586485*s[26])/2673 + (8*s[30])/3 - 
       (20*s[31])/3 - (53*s[32])/6 - (89*s[33])/6 + (32*s[34])/3 - 
       (34*s[35])/3 - (97*s[36])/3 + 51*s[37] + (1243*s[38])/2 - 
       (7210*s[39])/3 + (8090*s[40])/3 - (25547*s[41])/12 + 
       (41141*s[42])/12 + (70414*s[43])/33 - (147293*s[44])/66 + 
       (343435*s[45])/132 - (863257*s[46])/44 + (301247*s[47])/396 + 
       (149381*s[48])/396 - (3825803*s[49])/396 + (1993741*s[50])/132 + 
       (481967*s[51])/198 + (193027*s[52])/99 - (4154459*s[53])/396 + 
       (60725*s[54])/132 - (26452223*s[55])/396 - (6969761*s[56])/396 + 
       (19013261*s[57])/1188 - (107666527*s[58])/3564 + 
       (108657499*s[59])/3564 + (190966075*s[60])/1188 - 
       (552980393*s[61])/64152 + 2*s[64] + (3*s[65])/2 + 2*s[66] - 6*s[67] - 
       8*s[68] - 2*s[69] - 3*s[70] - (7*s[71])/2 + (8*s[72])/3 + 16*s[73] - 
       (32*s[74])/3 + (32*s[75])/3 - (8*s[76])/3 + 10*s[77] + (22*s[78])/3 + 
       220*s[79] - (133*s[80])/3 + 208*s[82] + s[83] + 142*s[84] + 
       72*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w]*(32*s[2] - (61*s[3])/12 + (42637*s[4])/24 + 
       (85067*s[5])/66 + (841777*s[6])/264 + (138341455*s[7])/4752 - 
       (5649221*s[8])/2376 - (2672633*s[9])/108 - (197947*s[10])/27 - 
       (16998385*s[11])/528 - (28133261*s[12])/792 - (102177221*s[13])/4752 - 
       (1677083*s[14])/528 - (16384693*s[15])/432 - (115435099*s[16])/2376 - 
       (173291323*s[17])/4752 - (147052*s[18])/27 - (31779*s[19])/8 - 
       (136107211*s[20])/2376 - (296359711*s[21])/14256 + 
       (219675871*s[22])/14256 + (20901275*s[23])/594 + 
       (27804262*s[24])/891 - (2638924169*s[25])/64152 + 
       (1440656735*s[26])/64152 + (8*s[30])/3 + (56*s[31])/3 - (13*s[32])/2 + 
       (17*s[33])/2 - (116*s[34])/3 - 8*s[35] - (722*s[36])/9 + 
       (2591*s[37])/18 + (6623*s[38])/6 - (17657*s[39])/4 + 
       (177197*s[40])/36 - (11458*s[41])/3 + (114947*s[42])/18 + 
       (1478599*s[43])/396 - (1577989*s[44])/396 + (395110*s[45])/99 - 
       (12871427*s[46])/396 + (1968011*s[47])/1188 + (53936*s[48])/297 - 
       (20077907*s[49])/1188 + (9818107*s[50])/396 + (5269675*s[51])/1188 + 
       (1076866*s[52])/297 - (20151055*s[53])/1188 + (357703*s[54])/396 - 
       (7061069*s[55])/66 - (3783815*s[56])/132 + (21067855*s[57])/594 - 
       (186438311*s[58])/3564 + (46856672*s[59])/891 + 
       (1879083311*s[60])/7128 - (147450133*s[61])/10692 - 2*s[64] - 
       (3*s[65])/2 - 2*s[66] + 6*s[67] + 2*s[68] + 6*s[69] - s[70] - 
       s[71]/2 + 20*s[72] - (28*s[73])/3 - 21*s[74] + 21*s[75] - 20*s[76] - 
       (2*s[77])/3 + (26*s[78])/3 + 428*s[79] - (916*s[80])/9 + 164*s[82] + 
       s[83] + 150*s[84] + 72*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v]*((49*s[2])/6 + (929*s[3])/12 + 
       (47603*s[4])/24 + (75607*s[5])/66 + (829039*s[6])/264 + 
       (138263377*s[7])/4752 - (2025113*s[8])/792 - (439655*s[9])/18 - 
       (261961*s[10])/36 - (51042961*s[11])/1584 - (9445763*s[12])/264 - 
       (102785411*s[13])/4752 - (3938443*s[14])/1584 - (16363507*s[15])/432 - 
       (115540699*s[16])/2376 - (172215985*s[17])/4752 - 
       (1703417*s[18])/324 - (2779019*s[19])/648 - (403517735*s[20])/7128 - 
       (286564673*s[21])/14256 + (72710527*s[22])/4752 + 
       (21545699*s[23])/594 + (18678181*s[24])/594 - (2670019057*s[25])/
        64152 + (1428293197*s[26])/64152 - 5*s[29] + (4*s[30])/3 + 
       (4*s[31])/3 + (14*s[32])/3 - (9*s[33])/2 - (20*s[34])/3 - 8*s[35] - 
       (722*s[36])/9 + (2591*s[37])/18 + (6623*s[38])/6 - (17657*s[39])/4 + 
       (177197*s[40])/36 - (11458*s[41])/3 + (114947*s[42])/18 + 
       (1478599*s[43])/396 - (1577989*s[44])/396 + (395110*s[45])/99 - 
       (12871427*s[46])/396 + (1968011*s[47])/1188 + (53936*s[48])/297 - 
       (20077907*s[49])/1188 + (9818107*s[50])/396 + (5269675*s[51])/1188 + 
       (1076866*s[52])/297 - (20151055*s[53])/1188 + (357703*s[54])/396 - 
       (7061069*s[55])/66 - (3783815*s[56])/132 + (21067855*s[57])/594 - 
       (186438311*s[58])/3564 + (46856672*s[59])/891 + 
       (1879083311*s[60])/7128 - (147450133*s[61])/10692 - 2*s[64] - 
       (3*s[65])/2 - 2*s[66] + 6*s[67] + 2*s[68] + 6*s[69] - s[70] - 
       s[71]/2 + 20*s[72] - (28*s[73])/3 - 21*s[74] + 21*s[75] - 20*s[76] - 
       (2*s[77])/3 + (26*s[78])/3 + 428*s[79] - (916*s[80])/9 + 164*s[82] + 
       s[83] + 150*s[84] + 72*s[85]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*((41*s[2])/8 + (769*s[3])/144 + 
       (68585*s[4])/288 + (132325*s[5])/792 + (1628267*s[6])/3168 + 
       (125264515*s[7])/28512 - (4604951*s[8])/14256 - (9569699*s[9])/2592 - 
       (3357601*s[10])/2592 - (5040301*s[11])/1056 - (24306839*s[12])/4752 - 
       (88329851*s[13])/28512 - (2588947*s[14])/3168 - 
       (15290083*s[15])/2592 - (212796797*s[16])/28512 - 
       (170270317*s[17])/28512 - (1966313*s[18])/2592 - 
       (1868513*s[19])/2592 - (15890353*s[20])/1782 - 
       (137040971*s[21])/42768 + (196949341*s[22])/85536 + 
       (58867091*s[23])/14256 + (211956845*s[24])/42768 - 
       (1153513513*s[25])/192456 + (2566280911*s[26])/769824 - 
       (49*s[30])/18 + (5*s[31])/18 + (7*s[32])/24 - (11*s[33])/24 + 
       (47*s[34])/36 - 3*s[35] - (79*s[36])/27 - (949*s[37])/432 + 
       (8707*s[38])/72 - (22597*s[39])/48 + (247885*s[40])/432 - 
       (34843*s[41])/72 + (142555*s[42])/216 + (2641175*s[43])/4752 - 
       (10777367*s[44])/19008 + (7446643*s[45])/9504 - 
       (51365051*s[46])/9504 + (536605*s[47])/57024 + 
       (24667921*s[48])/57024 - (145051399*s[49])/57024 + 
       (10255045*s[50])/2376 + (27332801*s[51])/57024 + 
       (19472771*s[52])/57024 - (84930919*s[53])/28512 - (75629*s[54])/594 - 
       (124449349*s[55])/6336 - (96341219*s[56])/19008 + 
       (10361951*s[57])/9504 - (1270447553*s[58])/171072 + 
       (1298997221*s[59])/171072 + (15993451063*s[60])/342144 - 
       (1937288303*s[61])/769824 + (5*s[66])/6 - (5*s[67])/6 - s[68]/6 - 
       (3*s[69])/2 + 4*s[70] - (21*s[71])/8 - s[72]/6 - (13*s[73])/18 - 
       (41*s[74])/24 + (41*s[75])/24 + (4*s[76])/3 - (127*s[77])/36 - 
       (61*s[78])/18 + (185*s[79])/2 - (3979*s[80])/216 + 343*s[82] + 
       (25*s[83])/6 + (71*s[84])/2 + (217*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((-8*s[2])/9 + (53*s[3])/2 + (3397*s[4])/6 + (166751*s[5])/396 + 
       (584357*s[6])/528 + (2865502*s[7])/297 - (10479109*s[8])/14256 - 
       (10514531*s[9])/1296 - (223876*s[10])/81 - (99794509*s[11])/9504 - 
       (107430611*s[12])/9504 - (31942177*s[13])/4752 - (1000315*s[14])/594 - 
       (702941*s[15])/54 - (39201293*s[16])/2376 - (4626913*s[17])/352 - 
       (6866419*s[18])/3888 - (5919857*s[19])/3888 - (839049791*s[20])/
        42768 - (304142825*s[21])/42768 + (216283663*s[22])/42768 + 
       (94699897*s[23])/9504 + (920555465*s[24])/85536 - 
       (10163180953*s[25])/769824 + (5665214215*s[26])/769824 + s[30]/3 - 
       (22*s[31])/3 - (5*s[32])/6 - (347*s[33])/36 + (131*s[34])/9 - 
       (41*s[35])/9 - (818*s[36])/27 - (149*s[37])/54 + (1697*s[38])/6 - 
       (42695*s[39])/36 + (148205*s[40])/108 - (10091*s[41])/9 + 
       (92783*s[42])/54 + (1294507*s[43])/1188 - (2841041*s[44])/2376 + 
       (403331*s[45])/297 - (456343*s[46])/44 + (4133699*s[47])/14256 + 
       (5143829*s[48])/14256 - (72023693*s[49])/14256 + 
       (19321883*s[50])/2376 + (17591467*s[51])/14256 + 
       (6697013*s[52])/7128 - (6662423*s[53])/1188 + (1643*s[54])/11 - 
       (56775175*s[55])/1584 - (134830627*s[56])/14256 + 
       (19009981*s[57])/2673 - (1998819161*s[58])/128304 + 
       (2020646519*s[59])/128304 + (7365669563*s[60])/85536 - 
       (1337782859*s[61])/288684 + (2*s[62])/3 - 3*s[68] + 4*s[69] + 
       (4*s[70])/3 - (5*s[71])/6 + (4*s[72])/3 - (137*s[74])/18 + 
       (137*s[75])/18 + (20*s[76])/3 - (16*s[77])/3 - (13*s[78])/3 + 
       (1390*s[79])/9 - (1247*s[80])/27 + (1859*s[82])/6 + 5*s[83] + 
       88*s[84] + (220*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*((83*s[2])/9 + (56*s[3])/3 + 
       (10391*s[4])/12 + (57521*s[5])/88 + (5068105*s[6])/3168 + 
       (416352041*s[7])/28512 - (99000499*s[8])/85536 - 
       (96203747*s[9])/7776 - (15152597*s[10])/3888 - 
       (916887031*s[11])/57024 - (1002018929*s[12])/57024 - 
       (100419071*s[13])/9504 - (13536449*s[14])/7128 - 
       (16634777*s[15])/864 - (7307483*s[16])/297 - (1078666835*s[17])/
        57024 - (31304831*s[18])/11664 - (25466797*s[19])/11664 - 
       (7466283557*s[20])/256608 - (338768281*s[21])/32076 + 
       (1976039119*s[22])/256608 + (314055785*s[23])/19008 + 
       (8184402185*s[24])/513216 - (94281262789*s[25])/4618944 + 
       (51807703117*s[26])/4618944 + s[30]/9 + 2*s[31] - (2*s[32])/3 - 
       (11*s[33])/4 - (34*s[34])/9 - (88*s[35])/9 - (739*s[36])/27 + 
       (7739*s[37])/216 + (1567*s[38])/3 - (150923*s[39])/72 + 
       (506489*s[40])/216 - (132845*s[41])/72 + (162997*s[42])/54 + 
       (2173211*s[43])/1188 - (4673995*s[44])/2376 + (4967975*s[45])/2376 - 
       (13024415*s[46])/792 + (19634825*s[47])/28512 + 
       (7600319*s[48])/28512 - (120584515*s[49])/14256 + 
       (60482621*s[50])/4752 + (29853815*s[51])/14256 + 
       (5974193*s[52])/3564 - (13813643*s[53])/1584 + (39203*s[54])/1584 - 
       (175289177*s[55])/3168 - (102708979*s[56])/7128 + 
       (636941741*s[57])/42768 - (3288025879*s[58])/128304 + 
       (3324192253*s[59])/128304 + (1443925361*s[60])/10692 - 
       (4082268803*s[61])/577368 + s[62]/6 - s[68] + s[69] + 4*s[70] - 
       (4*s[71])/3 + 8*s[72] - (199*s[74])/18 + (199*s[75])/18 - 6*s[76] - 
       (19*s[77])/3 + (13*s[78])/3 + (1694*s[79])/9 - (1123*s[80])/27 + 
       (3533*s[82])/12 + 96*s[84] + (224*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2*
      ((101*s[2])/12 + (227*s[3])/24 + (21875*s[4])/32 + (200971*s[5])/352 + 
       (1394293*s[6])/1056 + (115501235*s[7])/9504 - (334637*s[8])/352 - 
       (2974843*s[9])/288 - (104257*s[10])/32 - (84443149*s[11])/6336 - 
       (30665627*s[12])/2112 - (41174783*s[13])/4752 - (2761243*s[14])/1584 - 
       (13982777*s[15])/864 - (194922019*s[16])/9504 - 
       (301889557*s[17])/19008 - (5953375*s[18])/2592 - 
       (4528781*s[19])/2592 - (696599621*s[20])/28512 - 
       (127217603*s[21])/14256 + (6772847*s[22])/1056 + 
       (260452801*s[23])/19008 + (252115657*s[24])/19008 - 
       (8644599665*s[25])/513216 + (4803974207*s[26])/513216 - s[28]/12 + 
       s[29] + (37*s[30])/24 + 4*s[31] + s[32]/3 + (35*s[33])/96 - 
       (43*s[34])/8 - (10*s[35])/3 - (983*s[36])/36 + (925*s[37])/36 + 
       (10505*s[38])/24 - (42073*s[39])/24 + (142345*s[40])/72 - 
       (24955*s[41])/16 + (361279*s[42])/144 + (1274381*s[43])/792 - 
       (2663593*s[44])/1584 + (764903*s[45])/396 - (3864049*s[46])/264 + 
       (4868845*s[47])/9504 + (3639925*s[48])/9504 - (69575185*s[49])/9504 + 
       (8956493*s[50])/792 + (16466297*s[51])/9504 + (6545863*s[52])/4752 - 
       (2073721*s[53])/264 + (91385*s[54])/528 - (158647759*s[55])/3168 - 
       (124552691*s[56])/9504 + (162648859*s[57])/14256 - 
       (1913559475*s[58])/85536 + (1943221603*s[59])/85536 + 
       (6884149675*s[60])/57024 - (2487118319*s[61])/384912 + s[64]/8 + 
       s[65]/24 + s[66]/4 - s[67] - 4*s[68] + (3*s[70])/4 - (31*s[71])/24 + 
       (16*s[72])/3 - (9*s[73])/2 - (157*s[74])/24 + (83*s[75])/12 - 
       8*s[76] - (49*s[77])/6 + (13*s[78])/3 + (1793*s[79])/12 - 
       (296*s[80])/9 + 304*s[82] + (3*s[83])/16 + (599*s[84])/8 + 75*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
      ((2627*s[2])/144 - (4757*s[3])/288 + (817435*s[4])/576 + 
       (770875*s[5])/792 + (15132629*s[6])/6336 + (2557832021*s[7])/114048 - 
       (105613493*s[8])/57024 - (12294293*s[9])/648 - (15001039*s[10])/2592 - 
       (939583057*s[11])/38016 - (257971519*s[12])/9504 - 
       (1872767917*s[13])/114048 - (91300405*s[14])/38016 - 
       (306778547*s[15])/10368 - (268024615*s[16])/7128 - 
       (3258809069*s[17])/114048 - (7878869*s[18])/1944 - 
       (51635813*s[19])/15552 - (7551837737*s[20])/171072 - 
       (606147923*s[21])/38016 + (4052770207*s[22])/342144 + 
       (383023231*s[23])/14256 + (2079433105*s[24])/85536 - 
       (16223862173*s[25])/513216 + (8824148213*s[26])/513216 - 
       (197*s[30])/36 + (283*s[31])/36 - (161*s[32])/18 - (133*s[33])/96 - 
       (140*s[34])/9 - (159*s[35])/8 - (13741*s[36])/216 + (6439*s[37])/108 + 
       (7387*s[38])/9 - (78475*s[39])/24 + (197413*s[40])/54 - 
       (208733*s[41])/72 + (2036485*s[42])/432 + (622555*s[43])/216 - 
       (5287697*s[44])/1728 + (1364051*s[45])/432 - (10908085*s[46])/432 + 
       (5443903*s[47])/5184 + (2142175*s[48])/5184 - (67944829*s[49])/5184 + 
       (1053769*s[50])/54 + (16845323*s[51])/5184 + (13401449*s[52])/5184 - 
       (34867393*s[53])/2592 + (112025*s[54])/432 - (49055927*s[55])/576 - 
       (38356741*s[56])/1728 + (60589537*s[57])/2592 - 
       (204721525*s[58])/5184 + (208446989*s[59])/5184 + 
       (6436741567*s[60])/31104 - (751477699*s[61])/69984 - (7*s[62])/8 - 
       s[64]/4 - (8*s[66])/3 + (41*s[67])/12 - (23*s[68])/3 + 10*s[69] - 
       (13*s[70])/2 - (59*s[71])/24 + (167*s[72])/12 - (307*s[73])/36 - 
       (833*s[74])/48 + (851*s[75])/48 - (5*s[76])/2 - (541*s[77])/72 + 
       (473*s[78])/36 + 302*s[79] - (6469*s[80])/108 + s[81]/24 + 
       (141*s[82])/2 + (13*s[83])/3 + (307*s[84])/2 + (227*s[85])/3) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((127*s[2])/12 + (274*s[3])/9 + (12943*s[4])/24 + (186821*s[5])/396 + 
       (153685*s[6])/132 + (666229*s[7])/66 - (32985769*s[8])/42768 - 
       (8293235*s[9])/972 - (5430977*s[10])/1944 - (314257549*s[11])/28512 - 
       (170121535*s[12])/14256 - (25346165*s[13])/3564 - 
       (24550271*s[14])/14256 - (17478751*s[15])/1296 - 
       (244436333*s[16])/14256 - (384741547*s[17])/28512 - 
       (45182291*s[18])/23328 - (33618169*s[19])/23328 - 
       (657699935*s[20])/32076 - (968152523*s[21])/128304 + 
       (1359688169*s[22])/256608 + (309580541*s[23])/28512 + 
       (1422993481*s[24])/128304 - (15968695733*s[25])/1154736 + 
       (17996664049*s[26])/2309472 + s[30]/9 + (7*s[31])/3 - (101*s[32])/72 - 
       (181*s[33])/144 + (41*s[34])/36 + (16*s[35])/9 - (373*s[36])/24 + 
       (2045*s[37])/108 + (20665*s[38])/72 - (117415*s[39])/96 + 
       (134507*s[40])/96 - (317311*s[41])/288 + (56571*s[42])/32 + 
       (3625319*s[43])/3168 - (318865*s[44])/264 + (6729797*s[45])/4752 - 
       (101288197*s[46])/9504 + (1597571*s[47])/4752 + (3440695*s[48])/9504 - 
       (24663707*s[49])/4752 + (6487489*s[50])/792 + (11528185*s[51])/9504 + 
       (9188225*s[52])/9504 - (162251885*s[53])/28512 + (575789*s[54])/2376 - 
       (346067983*s[55])/9504 - (139691159*s[56])/14256 + 
       (688819825*s[57])/85536 - (4173389543*s[58])/256608 + 
       (4200289751*s[59])/256608 + (92735591*s[60])/1056 - 
       (5573386267*s[61])/1154736 - s[68]/6 + s[69]/6 - (5*s[70])/6 + 
       s[71]/24 + (14*s[72])/3 - (151*s[74])/36 + (151*s[75])/36 - 
       (14*s[76])/3 - (7*s[77])/18 + (61*s[78])/18 + (2239*s[79])/18 - 
       (1121*s[80])/27 + (2167*s[82])/6 + 56*s[84] + (232*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      ((81*s[2])/8 + (2615*s[3])/48 + (108871*s[4])/96 + (105307*s[5])/132 + 
       (2079103*s[6])/1056 + (170757751*s[7])/9504 - (7151117*s[8])/4752 - 
       (13108295*s[9])/864 - (3965575*s[10])/864 - (20960233*s[11])/1056 - 
       (34626583*s[12])/1584 - (62402479*s[13])/4752 - (130249*s[14])/66 - 
       (20383703*s[15])/864 - (35834257*s[16])/1188 - 
       (216850267*s[17])/9504 - (53989*s[18])/16 - (553537*s[19])/216 - 
       (28108417*s[20])/792 - (365539327*s[21])/28512 + 
       (269721889*s[22])/28512 + (25900379*s[23])/1188 + 
       (552466903*s[24])/28512 - (1628079355*s[25])/64152 + 
       (443814737*s[26])/32076 + s[30]/6 + (23*s[31])/6 - (31*s[32])/12 - 
       (89*s[33])/48 - 4*s[34] + (19*s[35])/6 - (1387*s[36])/36 + 
       (875*s[37])/12 + (11927*s[38])/18 - (381431*s[39])/144 + 
       (141785*s[40])/48 - (109763*s[41])/48 + (183515*s[42])/48 + 
       (3543421*s[43])/1584 - (7650733*s[44])/3168 + (55907*s[45])/22 - 
       (31732123*s[46])/1584 + (9158153*s[47])/9504 + (1678835*s[48])/9504 - 
       (97575347*s[49])/9504 + (12107669*s[50])/792 + (25334039*s[51])/9504 + 
       (20189659*s[52])/9504 - (25026211*s[53])/2376 + (164645*s[54])/396 - 
       (210853673*s[55])/3168 - (56199299*s[56])/3168 + 
       (12248437*s[57])/594 - (303573367*s[58])/9504 + 
       (101790187*s[59])/3168 + (9277600961*s[60])/57024 - 
       (2214986593*s[61])/256608 - (10*s[70])/3 - (3*s[71])/2 + 
       (26*s[72])/3 - (3*s[73])/2 - (35*s[74])/3 + (67*s[75])/6 - 
       (38*s[76])/3 + s[77] + (37*s[78])/6 + 234*s[79] - (512*s[80])/9 + 
       293*s[82] + s[83]/4 + (255*s[84])/2 + 78*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((1249*s[2])/72 + (1013*s[3])/144 + (324653*s[4])/288 + 
       (678229*s[5])/792 + (6612079*s[6])/3168 + (135552419*s[7])/7128 - 
       (2710097*s[8])/1782 - (41808433*s[9])/2592 - (13047371*s[10])/2592 - 
       (2071969*s[11])/99 - (108790501*s[12])/4752 - (392419135*s[13])/
        28512 - (7999423*s[14])/3168 - (2040502*s[15])/81 - 
       (915001015*s[16])/28512 - (21962491*s[17])/891 - (3005197*s[18])/864 - 
       (7236545*s[19])/2592 - (15034853*s[20])/396 - (1179108587*s[21])/
        85536 + (429776161*s[22])/42768 + (77770987*s[23])/3564 + 
       (1779847583*s[24])/85536 - (10228612675*s[25])/384912 + 
       (11255004503*s[26])/769824 + (4*s[30])/9 + (89*s[31])/18 - 
       (55*s[32])/36 - (17*s[33])/6 - (197*s[34])/36 - (227*s[35])/12 - 
       (4475*s[36])/108 + (14369*s[37])/216 + (12197*s[38])/18 - 
       (32225*s[39])/12 + (163741*s[40])/54 - (85753*s[41])/36 + 
       (834857*s[42])/216 + (1429823*s[43])/594 - (48596521*s[44])/19008 + 
       (6349481*s[45])/2376 - (6286100*s[46])/297 + (47749307*s[47])/57024 + 
       (27207731*s[48])/57024 - (623781821*s[49])/57024 + 
       (4842991*s[50])/297 + (151736083*s[51])/57024 + 
       (120125353*s[52])/57024 - (80028989*s[53])/7128 + 
       (1377391*s[54])/4752 - (150403769*s[55])/2112 - 
       (357227701*s[56])/19008 + (183460213*s[57])/9504 - 
       (5650752001*s[58])/171072 + (5728018987*s[59])/171072 + 
       (59641597703*s[60])/342144 - (13975792277*s[61])/1539648 - s[62]/3 - 
       (5*s[66])/6 + (5*s[67])/6 - (23*s[68])/6 + (7*s[69])/2 + (7*s[70])/6 - 
       (11*s[71])/6 + (55*s[72])/6 - (89*s[73])/18 - (265*s[74])/24 + 
       (265*s[75])/24 - (19*s[76])/3 - (125*s[77])/36 + (103*s[78])/18 + 
       (872*s[79])/3 - (8011*s[80])/108 + 296*s[82] + (19*s[83])/12 + 
       (229*s[84])/2 + (236*s[85])/3) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*((125*s[2])/24 + (497*s[3])/48 + 
       (49283*s[4])/96 + (459139*s[5])/1056 + (543853*s[6])/528 + 
       (181756727*s[7])/19008 - (9544069*s[8])/14256 - (21117655*s[9])/2592 - 
       (7184519*s[10])/2592 - (197761103*s[11])/19008 - 
       (106044335*s[12])/9504 - (42163805*s[13])/6336 - 
       (33438731*s[14])/19008 - (7539269*s[15])/576 - (51992471*s[16])/3168 - 
       (249173719*s[17])/19008 - (6501535*s[18])/3888 - 
       (3057721*s[19])/1944 - (420421069*s[20])/21384 - 
       (1221562457*s[21])/171072 + (864868591*s[22])/171072 + 
       (14707171*s[23])/1584 + (926455967*s[24])/85536 - 
       (20061177347*s[25])/1539648 + (11248628843*s[26])/1539648 + 
       (5*s[30])/4 - (4*s[31])/3 - (19*s[32])/24 + (53*s[33])/12 + 
       (5*s[34])/12 - (19*s[35])/3 - (107*s[36])/6 + (1277*s[37])/144 + 
       (2243*s[38])/8 - (17449*s[39])/16 + (20145*s[40])/16 - 
       (2053*s[41])/2 + (6205*s[42])/4 + (577465*s[43])/528 - 
       (797671*s[44])/704 + (4212721*s[45])/3168 - (31457077*s[46])/3168 + 
       (455225*s[47])/2112 + (1045133*s[48])/2112 - (10510987*s[49])/2112 + 
       (256825*s[50])/33 + (2282933*s[51])/2112 + (1764803*s[52])/2112 - 
       (50949293*s[53])/9504 - (45247*s[54])/792 - (219356419*s[55])/6336 - 
       (171069269*s[56])/19008 + (165838483*s[57])/28512 - 
       (2503443523*s[58])/171072 + (2553829411*s[59])/171072 + 
       (3177409957*s[60])/38016 - (846223667*s[61])/192456 - (5*s[66])/6 + 
       (5*s[67])/6 - (11*s[68])/6 + (7*s[69])/2 + (7*s[70])/3 - 
       (83*s[71])/24 + (19*s[72])/6 - (11*s[73])/6 - (121*s[74])/24 + 
       (121*s[75])/24 - s[76]/3 - (49*s[77])/12 + (13*s[78])/6 + 
       (845*s[79])/6 - (1693*s[80])/72 + 303*s[82] + (15*s[83])/4 + 
       58*s[84] + 79*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*((32*s[2])/3 - (73*s[3])/3 + (713*s[4])/2 + 
       (42275*s[5])/132 + (34255*s[6])/44 + (16894387*s[7])/2376 - 
       (618011*s[8])/1188 - (165064*s[9])/27 - (221963*s[10])/108 - 
       (2046793*s[11])/264 - (3302819*s[12])/396 - (11793539*s[13])/2376 - 
       (329545*s[14])/264 - (2056009*s[15])/216 - (14365201*s[16])/1188 - 
       (22678837*s[17])/2376 - (138887*s[18])/108 - (9644*s[19])/9 - 
       (4323178*s[20])/297 - (37983367*s[21])/7128 + (26933809*s[22])/7128 + 
       (8350985*s[23])/1188 + (7000241*s[24])/891 - (310149029*s[25])/32076 + 
       (174420209*s[26])/32076 - (8*s[30])/3 + 2*s[31] + (4*s[32])/3 + 
       (29*s[33])/12 - (11*s[34])/3 - (11*s[35])/3 - (215*s[36])/18 - 
       (220*s[37])/9 + 220*s[38] - (22171*s[39])/24 + (77309*s[40])/72 - 
       (7257*s[41])/8 + (95737*s[42])/72 + (748903*s[43])/792 - 
       (1556105*s[44])/1584 + (451937*s[45])/396 - (6826223*s[46])/792 + 
       (653677*s[47])/4752 + (2257147*s[48])/4752 - (20719243*s[49])/4752 + 
       (1366327*s[50])/198 + (4591727*s[51])/4752 + (3154187*s[52])/4752 - 
       (11212543*s[53])/2376 - (51311*s[54])/198 - (47709457*s[55])/1584 - 
       (4014905*s[56])/528 + (5114401*s[57])/1188 - (177087985*s[58])/14256 + 
       (181401535*s[59])/14256 + (2083350457*s[60])/28512 - 
       (163753877*s[61])/42768 - 6*s[68] + 6*s[69] + 8*s[70] - 2*s[71] + 
       4*s[72] - (13*s[74])/3 + (13*s[75])/3 + 4*s[76] - (40*s[77])/3 - 
       (11*s[78])/3 + 108*s[79] - (236*s[80])/9 + 206*s[82] + 48*s[84] + 
       80*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*(11*s[2] + (41*s[3])/4 + (13823*s[4])/24 + 
       (107483*s[5])/264 + (296981*s[6])/264 + (45981907*s[7])/4752 - 
       (603176*s[8])/891 - (2667817*s[9])/324 - (1681351*s[10])/648 - 
       (50868475*s[11])/4752 - (55876883*s[12])/4752 - 
       (11183311*s[13])/1584 - (7756669*s[14])/4752 - (1810579*s[15])/144 - 
       (1613867*s[16])/99 - (59012915*s[17])/4752 - (6740903*s[18])/3888 - 
       (5702845*s[19])/3888 - (420146513*s[20])/21384 - 
       (298793221*s[21])/42768 + (54653531*s[22])/10692 + 
       (3896441*s[23])/396 + (463936793*s[24])/42768 - 
       (650633747*s[25])/48114 + (2857046575*s[26])/384912 - 12*s[30] - 
       4*s[31] - (11*s[32])/12 - (401*s[33])/24 + (15*s[34])/2 + 
       (101*s[35])/6 + (49*s[36])/9 - (1433*s[37])/36 + (2017*s[38])/6 - 
       (25621*s[39])/24 + (92095*s[40])/72 - (8595*s[41])/8 + 
       (104501*s[42])/72 + (952751*s[43])/792 - (3638585*s[44])/3168 + 
       (1287989*s[45])/792 - (4367879*s[46])/396 + (957175*s[47])/9504 + 
       (8233543*s[48])/9504 - (49851469*s[49])/9504 + (1704245*s[50])/198 + 
       (10514951*s[51])/9504 + (8310053*s[52])/9504 - (27770539*s[53])/4752 + 
       (2407*s[54])/396 - (121661285*s[55])/3168 - (32327509*s[56])/3168 + 
       (21145327*s[57])/4752 - (150805199*s[58])/9504 + 
       (50335339*s[59])/3168 + (5387791447*s[60])/57024 - 
       (1302375419*s[61])/256608 + (11*s[62])/3 + 2*s[65] + 6*s[66] - 
       (20*s[67])/3 - (35*s[68])/3 - s[69]/3 + (83*s[70])/3 - (37*s[71])/4 - 
       (13*s[72])/3 - (13*s[73])/6 - (13*s[74])/12 + (3*s[75])/4 + 
       (8*s[76])/3 - (179*s[77])/6 - (181*s[78])/6 + 142*s[79] - 
       (82*s[80])/9 - s[81]/6 - 52*s[82] - (47*s[83])/4 + (213*s[84])/2 + 
       80*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u]*(36*s[2] + (5*s[3])/3 + (18137*s[4])/12 + 
       (13361*s[5])/12 + (31789*s[6])/12 + (5435053*s[7])/216 - 
       (36235*s[8])/18 - (385151*s[9])/18 - (119117*s[10])/18 - 
       (497767*s[11])/18 - (727057*s[12])/24 - (3923675*s[13])/216 - 
       (227983*s[14])/72 - (7188905*s[15])/216 - (4561387*s[16])/108 - 
       (870968*s[17])/27 - (752017*s[18])/162 - (1171513*s[19])/324 - 
       (4067891*s[20])/81 - (11785913*s[21])/648 + (2876623*s[22])/216 + 
       (6238105*s[23])/216 + (5906651*s[24])/216 - (204955865*s[25])/5832 + 
       (112598117*s[26])/5832 + (5*s[30])/3 + (50*s[31])/3 - 4*s[32] + 
       (65*s[33])/4 - (71*s[34])/3 - 14*s[35] - (548*s[36])/9 + 
       (844*s[37])/9 + (2716*s[38])/3 - (7145*s[39])/2 + (72217*s[40])/18 - 
       (18863*s[41])/6 + (92363*s[42])/18 + (56653*s[43])/18 - 
       (238819*s[44])/72 + (63805*s[45])/18 - (250396*s[46])/9 + 
       (260159*s[47])/216 + (88355*s[48])/216 - (3082133*s[49])/216 + 
       (386719*s[50])/18 + (771415*s[51])/216 + (621175*s[52])/216 - 
       (397643*s[53])/27 + (7315*s[54])/18 - (2244619*s[55])/24 - 
       (590423*s[56])/24 + (2802259*s[57])/108 - (28284845*s[58])/648 + 
       (28581635*s[59])/648 + (296581259*s[60])/1296 - 
       (23114695*s[61])/1944 - 4*s[68] + 4*s[69] + 4*s[70] - 2*s[71] + 
       12*s[72] - (4*s[73])/3 - 15*s[74] + 15*s[75] - 20*s[76] - 
       (26*s[77])/3 - (4*s[78])/3 + 372*s[79] - (676*s[80])/9 + 240*s[82] + 
       s[83] + 138*s[84] + 80*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u]*((32*s[2])/3 + (167*s[3])/3 + 
       (19381*s[4])/12 + (12349*s[5])/12 + (31933*s[6])/12 + 
       (2691677*s[7])/108 - (225965*s[8])/108 - (2271689*s[9])/108 - 
       (696895*s[10])/108 - (659753*s[11])/24 - (2178313*s[12])/72 - 
       (989219*s[13])/54 - (10279*s[14])/4 - (3544099*s[15])/108 - 
       (4518295*s[16])/108 - (6851755*s[17])/216 - (118358*s[18])/27 - 
       (208459*s[19])/54 - (2642299*s[20])/54 - (5648855*s[21])/324 + 
       (1063772*s[22])/81 + (6312751*s[23])/216 + (17674777*s[24])/648 - 
       (205999789*s[25])/5832 + (110877367*s[26])/5832 + s[30]/3 + 
       (10*s[31])/3 - (4*s[32])/3 - (15*s[33])/4 - (23*s[34])/3 - 14*s[35] - 
       (548*s[36])/9 + (844*s[37])/9 + (2716*s[38])/3 - (7145*s[39])/2 + 
       (72217*s[40])/18 - (18863*s[41])/6 + (92363*s[42])/18 + 
       (56653*s[43])/18 - (238819*s[44])/72 + (63805*s[45])/18 - 
       (250396*s[46])/9 + (260159*s[47])/216 + (88355*s[48])/216 - 
       (3082133*s[49])/216 + (386719*s[50])/18 + (771415*s[51])/216 + 
       (621175*s[52])/216 - (397643*s[53])/27 + (7315*s[54])/18 - 
       (2244619*s[55])/24 - (590423*s[56])/24 + (2802259*s[57])/108 - 
       (28284845*s[58])/648 + (28581635*s[59])/648 + (296581259*s[60])/1296 - 
       (23114695*s[61])/1944 - 4*s[68] + 4*s[69] + 4*s[70] - 2*s[71] + 
       12*s[72] - (4*s[73])/3 - 15*s[74] + 15*s[75] - 20*s[76] - 
       (26*s[77])/3 - (4*s[78])/3 + 372*s[79] - (676*s[80])/9 + 240*s[82] + 
       s[83] + 138*s[84] + 80*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1}, 1 - v]*(9*s[2] + (385*s[3])/12 + (6027*s[4])/8 + 
       (21649*s[5])/66 + (49655*s[6])/44 + (16664339*s[7])/1584 - 
       (1628459*s[8])/1782 - (5706565*s[9])/648 - (846595*s[10])/324 - 
       (28622977*s[11])/2376 - (65301349*s[12])/4752 - 
       (40227515*s[13])/4752 - (1500779*s[14])/4752 - (5588071*s[15])/432 - 
       (20682149*s[16])/1188 - (28552639*s[17])/2376 - (3271439*s[18])/1944 - 
       (1823861*s[19])/972 - (425999509*s[20])/21384 - 
       (291370499*s[21])/42768 + (238351075*s[22])/42768 + 
       (59608591*s[23])/4752 + (502776859*s[24])/42768 - 
       (6080016143*s[25])/384912 + (3105586865*s[26])/384912 + s[28]/4 - 
       10*s[29] + (19*s[30])/3 - s[31]/2 + (11*s[32])/3 - (103*s[33])/12 - 
       (59*s[34])/6 - (41*s[35])/3 - (107*s[36])/2 - (167*s[37])/18 + 
       (5411*s[38])/12 - (6147*s[39])/4 + (6743*s[40])/4 - (32305*s[41])/24 + 
       (16577*s[42])/8 + (204103*s[43])/132 - (34879*s[44])/22 + 
       (1053301*s[45])/792 - (8962363*s[46])/792 + (86513*s[47])/396 + 
       (330119*s[48])/396 - (2893379*s[49])/396 + (2341243*s[50])/264 + 
       (1097509*s[51])/792 + (212381*s[52])/198 - (3413363*s[53])/594 - 
       (637279*s[54])/792 - (7144219*s[55])/198 - (10086749*s[56])/1188 + 
       (64669393*s[57])/7128 - (45098629*s[58])/2673 + 
       (46198744*s[59])/2673 + (153741415*s[60])/1584 - 
       (1653758713*s[61])/384912 - s[64]/2 - (9*s[65])/4 - 3*s[66] + 
       8*s[67] - 2*s[68] + 20*s[69] + (23*s[70])/2 + (5*s[71])/4 + 10*s[72] - 
       13*s[73] - (25*s[74])/3 + (41*s[75])/6 - (13*s[76])/2 - 
       (133*s[77])/6 + (41*s[78])/3 + (83*s[79])/3 + (115*s[80])/9 + 
       243*s[82] + (15*s[83])/4 + (27*s[84])/2 + 84*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*
      (-4*s[2] + (215*s[4])/2 + (5669*s[5])/44 + (9309*s[6])/22 + 
       (609443*s[7])/264 - (64556*s[8])/297 - (52897*s[9])/27 - 
       (49043*s[10])/108 - (978811*s[11])/396 - (2192017*s[12])/792 - 
       (1185281*s[13])/792 - (632747*s[14])/792 - (196471*s[15])/72 - 
       (1464229*s[16])/396 - (1107067*s[17])/396 - (62519*s[18])/81 + 
       (13769*s[19])/81 - (4439812*s[20])/891 - (13773311*s[21])/7128 + 
       (8470303*s[22])/7128 + (2638249*s[23])/792 + (13875853*s[24])/7128 - 
       (188605739*s[25])/64152 + (117624701*s[26])/64152 + 14*s[30] - 
       6*s[31] + (37*s[32])/2 - 13*s[33] + 9*s[34] - 39*s[35] + 
       (92*s[36])/3 - (56*s[37])/3 + (101*s[38])/2 - (1181*s[39])/4 + 
       (4795*s[40])/12 - (715*s[41])/2 + (1373*s[42])/3 + (44309*s[43])/132 - 
       (87253*s[44])/264 + (88543*s[45])/132 - (92889*s[46])/22 + 
       (62933*s[47])/792 + (242651*s[48])/792 - (939395*s[49])/792 + 
       (403031*s[50])/132 + (344341*s[51])/792 + (249439*s[52])/792 - 
       (147787*s[53])/66 + (29995*s[54])/44 - (3896281*s[55])/264 - 
       (3990649*s[56])/792 + (2443169*s[57])/1188 - (44978375*s[58])/7128 + 
       (41574125*s[59])/7128 + (157449887*s[60])/4752 - 
       (79467475*s[61])/32076 + s[64] + (5*s[65])/2 + 4*s[66] - 6*s[67] + 
       6*s[68] - 6*s[69] + 27*s[70] - (13*s[71])/2 - 4*s[72] + 28*s[73] + 
       s[74] + 2*s[75] + 3*s[76] - 25*s[77] - 8*s[78] + 64*s[79] - 
       (46*s[80])/3 - s[81]/6 + 174*s[82] + 6*s[83] + 54*s[84] + 84*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*
      (19*s[2] + 104*s[3] + 236*s[4] + (3248*s[5])/11 + (40135*s[6])/44 + 
       (2217601*s[7])/396 - (20381*s[8])/66 - (55729*s[9])/12 - 
       (10487*s[10])/6 - (1563041*s[11])/264 - (535855*s[12])/88 - 
       (1432175*s[13])/396 - (248773*s[14])/132 - (138509*s[15])/18 - 
       (961736*s[16])/99 - (6657923*s[17])/792 - (34595*s[18])/27 - 
       (16039*s[19])/27 - (14269729*s[20])/1188 - (1369943*s[21])/297 + 
       (1125037*s[22])/396 + (4008647*s[23])/792 + (4802377*s[24])/792 - 
       (75837263*s[25])/10692 + (11630690*s[26])/2673 - s[28]/2 + 10*s[29] - 
       4*s[30] + 15*s[31] + 2*s[32] - (27*s[33])/2 + 10*s[34] - 39*s[35] + 
       (92*s[36])/3 - (56*s[37])/3 + (101*s[38])/2 - (1181*s[39])/4 + 
       (4795*s[40])/12 - (715*s[41])/2 + (1373*s[42])/3 + (44309*s[43])/132 - 
       (87253*s[44])/264 + (88543*s[45])/132 - (92889*s[46])/22 + 
       (62933*s[47])/792 + (242651*s[48])/792 - (939395*s[49])/792 + 
       (403031*s[50])/132 + (344341*s[51])/792 + (249439*s[52])/792 - 
       (147787*s[53])/66 + (29995*s[54])/44 - (3896281*s[55])/264 - 
       (3990649*s[56])/792 + (2443169*s[57])/1188 - (44978375*s[58])/7128 + 
       (41574125*s[59])/7128 + (157449887*s[60])/4752 - 
       (79467475*s[61])/32076 + s[64] + (5*s[65])/2 + 4*s[66] - 6*s[67] + 
       6*s[68] - 6*s[69] + 27*s[70] - (13*s[71])/2 - 4*s[72] + 28*s[73] + 
       s[74] + 2*s[75] + 3*s[76] - 25*s[77] - 8*s[78] + 64*s[79] - 
       (46*s[80])/3 - s[81]/6 + 174*s[82] + 6*s[83] + 54*s[84] + 84*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((23*s[2])/3 + (535*s[3])/12 + (781*s[4])/8 + (95423*s[5])/264 + 
       (289327*s[6])/528 + (27230023*s[7])/4752 - (3381995*s[8])/14256 - 
       (6374521*s[9])/1296 - (727679*s[10])/324 - (56978981*s[11])/9504 - 
       (56576275*s[12])/9504 - (1283591*s[13])/396 - (628633*s[14])/297 - 
       (413635*s[15])/48 - (2749397*s[16])/264 - (89511445*s[17])/9504 - 
       (1927321*s[18])/1944 - (1233025*s[19])/972 - (281530397*s[20])/21384 - 
       (209694847*s[21])/42768 + (128075351*s[22])/42768 + 
       (7615979*s[23])/3168 + (620078083*s[24])/85536 - 
       (5392125857*s[25])/769824 + (3310843727*s[26])/769824 - (2*s[30])/3 - 
       (16*s[31])/3 + (3*s[32])/2 - (16*s[33])/3 + (50*s[34])/3 + 
       (7*s[35])/3 - (55*s[36])/3 - (187*s[37])/6 + (751*s[38])/6 - 
       (2213*s[39])/6 + (2759*s[40])/6 - (4721*s[41])/12 + (1277*s[42])/3 + 
       (81889*s[43])/132 - (41705*s[44])/66 + (269221*s[45])/264 - 
       (553983*s[46])/88 - (383407*s[47])/1584 + (1178615*s[48])/1584 - 
       (2489407*s[49])/792 + (1418965*s[50])/264 + (78601*s[51])/264 + 
       (25631*s[52])/198 - (373498*s[53])/99 - (215957*s[54])/264 - 
       (39644417*s[55])/1584 - (344887*s[56])/66 - (3769943*s[57])/792 - 
       (2034389*s[58])/297 + (18072001*s[59])/2376 + (278095933*s[60])/4752 - 
       (41170997*s[61])/14256 + s[62]/2 + 2*s[66] - 2*s[67] - 4*s[68] + 
       (32*s[70])/3 + s[71]/2 - (8*s[72])/3 + 4*s[73] - s[74]/2 + s[75]/2 + 
       (14*s[76])/3 - (38*s[77])/3 - (22*s[78])/3 + 12*s[79] + (21*s[80])/2 + 
       (1239*s[82])/2 + 5*s[83] + 26*s[84] + 88*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((53*s[2])/2 - (283*s[3])/12 + (22303*s[4])/24 + (25087*s[5])/33 + 
       (503851*s[6])/264 + (80120383*s[7])/4752 - (2918497*s[8])/2376 - 
       (1552507*s[9])/108 - (249583*s[10])/54 - (29297759*s[11])/1584 - 
       (15895645*s[12])/792 - (57498545*s[13])/4752 - (4252253*s[14])/1584 - 
       (9690253*s[15])/432 - (67657999*s[16])/2376 - (104881015*s[17])/4752 - 
       (1019131*s[18])/324 - (1545037*s[19])/648 - (242927455*s[20])/7128 - 
       (59618677*s[21])/4752 + (127502975*s[22])/14256 + 
       (5439688*s[23])/297 + (65673119*s[24])/3564 - (165791155*s[25])/7128 + 
       (92945557*s[26])/7128 + 5*s[29] - (4*s[30])/3 + (32*s[31])/3 - 
       6*s[32] + 4*s[33] - (26*s[34])/3 - 12*s[35] - (281*s[36])/9 + 
       (310*s[37])/9 + (3317*s[38])/6 - 2213*s[39] + (22823*s[40])/9 - 
       (24331*s[41])/12 + (114811*s[42])/36 + (199651*s[43])/99 - 
       (1720415*s[44])/792 + (896989*s[45])/396 - (7116845*s[46])/396 + 
       (1412485*s[47])/2376 + (1372753*s[48])/2376 - (21780739*s[49])/2376 + 
       (5501581*s[50])/396 + (5309171*s[51])/2376 + (4196171*s[52])/2376 - 
       (11228221*s[53])/1188 + (97909*s[54])/396 - (15952781*s[55])/264 - 
       (4266025*s[56])/264 + (9517543*s[57])/594 - (199899655*s[58])/7128 + 
       (201006361*s[59])/7128 + (2113934167*s[60])/14256 - 
       (20755708*s[61])/2673 + 2*s[64] + (3*s[65])/2 + 2*s[66] - 6*s[67] - 
       4*s[68] - 6*s[69] - 3*s[70] - (7*s[71])/2 + 4*s[72] - (4*s[73])/3 - 
       11*s[74] + 11*s[75] - 4*s[76] + (16*s[77])/3 + (26*s[78])/3 + 
       292*s[79] - (601*s[80])/9 + 268*s[82] + 7*s[83] + 162*s[84] + 
       88*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*((-22*s[2])/3 + (293*s[3])/12 + 
       (25943*s[4])/24 + (72251*s[5])/132 + (447181*s[6])/264 + 
       (73608943*s[7])/4752 - (3159535*s[8])/2376 - (1404151*s[9])/108 - 
       (107921*s[10])/27 - (27153179*s[11])/1584 - (15052651*s[12])/792 - 
       (54548249*s[13])/4752 - (2467385*s[14])/1584 - (8701849*s[15])/432 - 
       (61690861*s[16])/2376 - (92143231*s[17])/4752 - (892963*s[18])/324 - 
       (1508959*s[19])/648 - (216701755*s[20])/7128 - (50803097*s[21])/4752 + 
       (116518691*s[22])/14256 + (22125391*s[23])/1188 + 
       (15047591*s[24])/891 - (59061892*s[25])/2673 + (63141803*s[26])/5346 + 
       (10*s[30])/3 - (20*s[31])/3 - (17*s[32])/6 - (15*s[33])/2 + 
       (34*s[34])/3 - 12*s[35] - (281*s[36])/9 + (310*s[37])/9 + 
       (3317*s[38])/6 - 2213*s[39] + (22823*s[40])/9 - (24331*s[41])/12 + 
       (114811*s[42])/36 + (199651*s[43])/99 - (1720415*s[44])/792 + 
       (896989*s[45])/396 - (7116845*s[46])/396 + (1412485*s[47])/2376 + 
       (1372753*s[48])/2376 - (21780739*s[49])/2376 + (5501581*s[50])/396 + 
       (5309171*s[51])/2376 + (4196171*s[52])/2376 - (11228221*s[53])/1188 + 
       (97909*s[54])/396 - (15952781*s[55])/264 - (4266025*s[56])/264 + 
       (9517543*s[57])/594 - (199899655*s[58])/7128 + 
       (201006361*s[59])/7128 + (2113934167*s[60])/14256 - 
       (20755708*s[61])/2673 + 2*s[64] + (3*s[65])/2 + 2*s[66] - 6*s[67] - 
       4*s[68] - 6*s[69] - 3*s[70] - (7*s[71])/2 + 4*s[72] - (4*s[73])/3 - 
       11*s[74] + 11*s[75] - 4*s[76] + (16*s[77])/3 + (26*s[78])/3 + 
       292*s[79] - (601*s[80])/9 + 268*s[82] + 7*s[83] + 162*s[84] + 
       88*s[85]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Omega2[u, v, w]*
      (13*s[2] + (449*s[3])/12 + (7273*s[4])/8 + (86563*s[5])/132 + 
       (441475*s[6])/264 + (2630805*s[7])/176 - (8598511*s[8])/7128 - 
       (1022944*s[9])/81 - (639505*s[10])/162 - (78154255*s[11])/4752 - 
       (10691173*s[12])/594 - (51322861*s[13])/4752 - (9082435*s[14])/4752 - 
       (8534633*s[15])/432 - (59851313*s[16])/2376 - (91751053*s[17])/4752 - 
       (684536*s[18])/243 - (4154813*s[19])/1944 - (636694115*s[20])/21384 - 
       (462985153*s[21])/42768 + (336390737*s[22])/42768 + 
       (41475223*s[23])/2376 + (346813843*s[24])/21384 - 
       (4022443901*s[25])/192456 + (2216931779*s[26])/192456 + (2*s[30])/3 + 
       4*s[31] - (5*s[32])/3 - (2*s[33])/3 - (11*s[34])/3 - (7*s[35])/3 - 
       34*s[36] + (551*s[37])/18 + (1057*s[38])/2 - (12755*s[39])/6 + 
       (14357*s[40])/6 - (5683*s[41])/3 + (18355*s[42])/6 + 
       (20959*s[43])/11 - (176643*s[44])/88 + (872425*s[45])/396 - 
       (6775579*s[46])/396 + (519725*s[47])/792 + (306149*s[48])/792 - 
       (6854861*s[49])/792 + (434810*s[50])/33 + (1688191*s[51])/792 + 
       (1344817*s[52])/792 - (2697863*s[53])/297 + (23225*s[54])/99 - 
       (45682223*s[55])/792 - (36280049*s[56])/2376 + (53805799*s[57])/3564 - 
       (568920541*s[58])/21384 + (574337389*s[59])/21384 + 
       (222221279*s[60])/1584 - (720655385*s[61])/96228 - 2*s[68] + 2*s[69] - 
       2*s[71] + 8*s[72] - (55*s[74])/6 + (55*s[75])/6 - 8*s[76] - 
       (10*s[77])/3 + (16*s[78])/3 + (568*s[79])/3 - (355*s[80])/9 + 
       265*s[82] + 96*s[84] + 92*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*((58*s[2])/9 + (361*s[3])/4 + 
       (1267*s[4])/8 + (14021*s[5])/66 + (913945*s[6])/1584 + 
       (7445503*s[7])/1782 - (9424747*s[8])/42768 - (13403273*s[9])/3888 - 
       (2725661*s[10])/1944 - (128699887*s[11])/28512 - 
       (133860347*s[12])/28512 - (2206121*s[13])/792 - 
       (17290961*s[14])/14256 - (631675*s[15])/108 - (17448751*s[16])/2376 - 
       (179051303*s[17])/28512 - (4648301*s[18])/5832 - 
       (1126507*s[19])/1458 - (1147343789*s[20])/128304 - 
       (431719319*s[21])/128304 + (68024191*s[22])/32076 + 
       (9613789*s[23])/3168 + (1294991639*s[24])/256608 - 
       (12668834755*s[25])/2309472 + (7568212627*s[26])/2309472 - 
       (28*s[30])/9 - (4*s[31])/3 + (4*s[32])/3 - (4*s[33])/3 + 
       (76*s[34])/9 + (22*s[35])/9 + (611*s[36])/54 - (1589*s[37])/54 + 
       (238*s[38])/3 - (15049*s[39])/72 + (61351*s[40])/216 - 
       (15037*s[41])/72 + (47381*s[42])/216 + (944423*s[43])/2376 - 
       (1717459*s[44])/4752 + (1991281*s[45])/2376 - (915971*s[46])/198 - 
       (484255*s[47])/3564 + (492398*s[48])/891 - (25612805*s[49])/14256 + 
       (8579255*s[50])/2376 + (2218129*s[51])/14256 + (1970473*s[52])/14256 - 
       (6150821*s[53])/2376 - (62615*s[54])/792 - (14081321*s[55])/792 - 
       (66771913*s[56])/14256 - (41169085*s[57])/21384 - 
       (741477971*s[58])/128304 + (749231795*s[59])/128304 + 
       (3495124079*s[60])/85536 - (1470833005*s[61])/577368 - (2*s[62])/3 + 
       2*s[66] - 2*s[67] - 6*s[69] + 4*s[70] - (5*s[71])/3 - (8*s[72])/3 + 
       (29*s[74])/9 - (29*s[75])/9 + (2*s[76])/3 - (2*s[77])/3 - 
       (14*s[78])/3 - (20*s[79])/9 - (73*s[80])/54 + (2657*s[82])/6 + 
       2*s[83] + 12*s[84] + (280*s[85])/3) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*((39*s[2])/2 - (46*s[3])/3 - 
       (22631*s[4])/48 + (7606*s[5])/33 + (111385*s[6])/528 + 
       (601841*s[7])/1188 + (6650257*s[8])/14256 - (932947*s[9])/1296 - 
       (200221*s[10])/162 - (7475*s[11])/594 + (4941313*s[12])/4752 + 
       (4414903*s[13])/4752 - (15181909*s[14])/4752 - (757555*s[15])/432 - 
       (7818509*s[16])/4752 - (631299*s[17])/176 - (311543*s[18])/972 - 
       (289567*s[19])/3888 - (180479407*s[20])/42768 - (5818267*s[21])/2673 + 
       (3051569*s[22])/10692 - (31551881*s[23])/4752 + 
       (36338851*s[24])/21384 + (1090910431*s[25])/769824 + 
       (348781265*s[26])/769824 - s[28]/2 + 14*s[29] - (163*s[30])/12 + 
       (17*s[31])/6 + (14*s[32])/3 - (1357*s[33])/48 + (119*s[34])/4 - 
       (257*s[35])/6 + (646*s[36])/9 - (5525*s[37])/72 - (3173*s[38])/12 + 
       (28211*s[39])/24 - (82025*s[40])/72 + (5003*s[41])/6 - 
       (15884*s[42])/9 - (609091*s[43])/792 + (2820343*s[44])/3168 - 
       (499975*s[45])/1584 + (2667205*s[46])/528 - (5789549*s[47])/9504 + 
       (6163975*s[48])/9504 + (36543671*s[49])/9504 - (769873*s[50])/198 - 
       (9290617*s[51])/9504 - (8042875*s[52])/9504 + (4310177*s[53])/1584 + 
       (37729*s[54])/132 + (16013977*s[55])/1056 + (28803769*s[56])/9504 - 
       (154820627*s[57])/14256 + (786102335*s[58])/85536 - 
       (858875723*s[59])/85536 - (2155254143*s[60])/57024 + 
       (498429637*s[61])/384912 - s[64] + (5*s[65])/2 + (49*s[66])/3 - 
       (95*s[67])/6 + (13*s[68])/3 - 32*s[69] + (122*s[70])/3 - 
       (83*s[71])/12 - (91*s[72])/3 + 27*s[73] + (95*s[74])/6 - 
       (169*s[75])/12 + (41*s[76])/2 - (203*s[77])/6 - (187*s[78])/3 + 
       (155*s[79])/3 - (1541*s[80])/36 - s[81]/6 + 318*s[82] - (33*s[83])/4 - 
       (85*s[84])/2 + 94*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*((53*s[2])/12 + 
       (553*s[3])/12 + (8261*s[4])/12 + (29451*s[5])/88 + (77615*s[6])/66 + 
       (31696615*s[7])/3168 - (10084541*s[8])/14256 - (10970503*s[9])/1296 - 
       (3464993*s[10])/1296 - (105878309*s[11])/9504 - 
       (14559935*s[12])/1188 - (71878223*s[13])/9504 - 
       (12693359*s[14])/9504 - (11251555*s[15])/864 - (79849015*s[16])/4752 - 
       (119918507*s[17])/9504 - (1705613*s[18])/972 - (6077209*s[19])/3888 - 
       (425573657*s[20])/21384 - (609387857*s[21])/85536 + 
       (454368643*s[22])/85536 + (51932171*s[23])/4752 + 
       (119944337*s[24])/10692 - (5459075389*s[25])/384912 + 
       (742774777*s[26])/96228 + (3*s[28])/2 + 6*s[29] - 2*s[30] + 
       (10*s[31])/3 - (49*s[32])/6 - (5*s[33])/12 + (7*s[34])/6 - 
       (35*s[35])/6 - (130*s[36])/9 + (7*s[37])/3 + (1108*s[38])/3 - 
       (31445*s[39])/24 + (113279*s[40])/72 - (31253*s[41])/24 + 
       (133273*s[42])/72 + (1081849*s[43])/792 - (1090039*s[44])/792 + 
       (193075*s[45])/132 - (8934973*s[46])/792 + (143657*s[47])/594 + 
       (1677521*s[48])/2376 - (1774609*s[49])/297 + (863321*s[50])/99 + 
       (3223711*s[51])/2376 + (1264133*s[52])/1188 - (3419963*s[53])/594 - 
       (19841*s[54])/396 - (29645713*s[55])/792 - (2949799*s[56])/297 + 
       (65947571*s[57])/7128 - (92783743*s[58])/5346 + 
       (371627713*s[59])/21384 + (681680491*s[60])/7128 - 
       (1813210643*s[61])/384912 - 8*s[63] + (13*s[65])/6 + 2*s[66] - 
       (17*s[67])/3 - (22*s[68])/3 - (14*s[69])/3 + (121*s[70])/3 - 
       (13*s[71])/2 - (7*s[72])/3 - 7*s[73] - (13*s[74])/4 + (21*s[75])/4 + 
       5*s[76] - (105*s[77])/2 - (25*s[78])/3 + (688*s[79])/3 - 
       (124*s[80])/3 + 263*s[82] - 4*s[83] + 126*s[84] + 94*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((251*s[2])/36 + (275*s[3])/8 + (16217*s[4])/48 + (507163*s[5])/1584 + 
       (31805*s[6])/44 + (64862741*s[7])/9504 - (3595687*s[8])/7128 - 
       (7448569*s[9])/1296 - (2711747*s[10])/1296 - (70042325*s[11])/9504 - 
       (9291263*s[12])/1188 - (14448095*s[13])/3168 - (12815249*s[14])/9504 - 
       (8257721*s[15])/864 - (3135589*s[16])/264 - (92938783*s[17])/9504 - 
       (2273845*s[18])/1944 - (304822*s[19])/243 - (75848147*s[20])/5346 - 
       (437592017*s[21])/85536 + (304698607*s[22])/85536 + 
       (9839545*s[23])/1584 + (84585371*s[24])/10692 - 
       (7076333057*s[25])/769824 + (3970855769*s[26])/769824 - s[29] + 
       (3*s[30])/2 + s[31]/3 + (5*s[32])/3 + (137*s[33])/36 + 
       (155*s[34])/18 + (59*s[35])/9 - (551*s[36])/54 + (511*s[37])/108 + 
       (515*s[38])/3 - (6502*s[39])/9 + (22522*s[40])/27 - (24253*s[41])/36 + 
       (54943*s[42])/54 + (85585*s[43])/108 - (177353*s[44])/216 + 
       (117101*s[45])/108 - (68893*s[46])/9 + (57337*s[47])/648 + 
       (150971*s[48])/324 - (4858085*s[49])/1296 + (332747*s[50])/54 + 
       (883951*s[51])/1296 + (305813*s[52])/648 - (116959*s[53])/27 - 
       (22217*s[54])/72 - (671417*s[55])/24 - (8828761*s[56])/1296 + 
       (2376695*s[57])/1944 - (120250919*s[58])/11664 + 
       (125475275*s[59])/11664 + (513779885*s[60])/7776 - 
       (365764751*s[61])/104976 + s[62]/6 + s[67] + s[68]/2 + (3*s[69])/2 + 
       (35*s[70])/6 + (11*s[71])/12 + (13*s[72])/3 - (5*s[73])/3 - 
       (23*s[74])/9 + (23*s[75])/9 - s[76]/3 - (47*s[77])/6 + (8*s[78])/3 + 
       (644*s[79])/9 - (730*s[80])/27 + (2935*s[82])/6 - s[83]/2 + 27*s[84] + 
       (284*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - w]*(8*s[2] + 54*s[3] - 57*s[4] + 
       (14527*s[5])/44 + (4690*s[6])/11 + (41586*s[7])/11 - (848*s[8])/99 - 
       (59105*s[9])/18 - (57659*s[10])/36 - (1000433*s[11])/264 - 
       (927541*s[12])/264 - (256051*s[13])/132 - (294625*s[14])/132 - 
       (70025*s[15])/12 - (456869*s[16])/66 - (1797899*s[17])/264 - 
       (75623*s[18])/108 - (21706*s[19])/27 - (5477789*s[20])/594 - 
       (4292317*s[21])/1188 + (1153135*s[22])/594 - (76871*s[23])/264 + 
       (11694763*s[24])/2376 - (22057307*s[25])/5346 + 
       (30498685*s[26])/10692 + 17*s[33] + 4*s[34] - 10*s[35] + 
       (134*s[36])/3 - (529*s[37])/6 - 9*s[38] + (489*s[39])/2 - 
       (1375*s[40])/6 + 161*s[41] - (1456*s[42])/3 + (2713*s[43])/66 + 
       (431*s[44])/66 + (83821*s[45])/132 - (101571*s[46])/44 - 
       (134813*s[47])/396 + (255709*s[48])/396 - (38741*s[49])/198 + 
       (124105*s[50])/66 - (61517*s[51])/198 - (27184*s[52])/99 - 
       (62429*s[53])/44 + (752*s[54])/11 - (487049*s[55])/44 - 
       (601573*s[56])/198 - (1990456*s[57])/297 - (5686123*s[58])/3564 + 
       (2828729*s[59])/1782 + (53413807*s[60])/2376 - 
       (117518351*s[61])/64152 - 3*s[62] - 9*s[71] + 4*s[74] - 4*s[75] - 
       40*s[79] + (119*s[80])/3 + 414*s[82] + 96*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      (8*s[2] + 69*s[3] - 120*s[4] + (1003*s[5])/11 + (10517*s[6])/44 + 
       (370939*s[7])/396 + (91093*s[8])/1188 - (73519*s[9])/108 - 
       (16583*s[10])/27 - (653447*s[11])/792 - (442921*s[12])/792 - 
       (5215*s[13])/44 - (250643*s[14])/198 - (19303*s[15])/12 - 
       (115037*s[16])/66 - (1748899*s[17])/792 - (38702*s[18])/81 - 
       (598*s[19])/81 - (10431973*s[20])/3564 - (1273201*s[21])/891 + 
       (1247219*s[22])/3564 - (47265*s[23])/88 + (8205025*s[24])/7128 - 
       (31769249*s[25])/64152 + (56165981*s[26])/64152 - 2*s[30] + 8*s[34] - 
       10*s[35] + (134*s[36])/3 - (529*s[37])/6 - 9*s[38] + (489*s[39])/2 - 
       (1375*s[40])/6 + 161*s[41] - (1456*s[42])/3 + (2713*s[43])/66 + 
       (431*s[44])/66 + (83821*s[45])/132 - (101571*s[46])/44 - 
       (134813*s[47])/396 + (255709*s[48])/396 - (38741*s[49])/198 + 
       (124105*s[50])/66 - (61517*s[51])/198 - (27184*s[52])/99 - 
       (62429*s[53])/44 + (752*s[54])/11 - (487049*s[55])/44 - 
       (601573*s[56])/198 - (1990456*s[57])/297 - (5686123*s[58])/3564 + 
       (2828729*s[59])/1782 + (53413807*s[60])/2376 - 
       (117518351*s[61])/64152 - 3*s[62] - 9*s[71] + 4*s[74] - 4*s[75] - 
       40*s[79] + (119*s[80])/3 + 414*s[82] + 96*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      (8*s[2] + (117*s[3])/2 - (621*s[4])/4 + (1971*s[5])/11 + 
       (2786*s[6])/11 + (1306475*s[7])/792 + (22138*s[8])/297 - 
       (134851*s[9])/108 - (53989*s[10])/54 - (513619*s[11])/396 - 
       (598483*s[12])/792 - (56359*s[13])/264 - (1485857*s[14])/792 - 
       (82403*s[15])/24 - (141397*s[16])/44 - (423959*s[17])/99 - 
       (31874*s[18])/81 - (134959*s[19])/324 - (8609327*s[20])/1782 - 
       (15404459*s[21])/7128 + (4826713*s[22])/7128 - (507919*s[23])/264 + 
       (18143965*s[24])/7128 - (61223399*s[25])/64152 + 
       (85601123*s[26])/64152 - 8*s[30] + 8*s[34] + 32*s[35] + (65*s[36])/3 - 
       (233*s[37])/3 - 201*s[38] + (2675*s[39])/4 - (8141*s[40])/12 + 
       (2309*s[41])/4 - (11935*s[42])/12 - (30955*s[43])/132 + 
       (106547*s[44])/264 + (20579*s[45])/66 + (2441*s[46])/44 - 
       (429079*s[47])/792 + (405227*s[48])/792 + (1165291*s[49])/792 - 
       (12629*s[50])/66 - (740363*s[51])/792 - (368789*s[52])/792 - 
       (49903*s[53])/132 + (10060*s[54])/11 - (1242985*s[55])/264 - 
       (1180891*s[56])/792 - (3656431*s[57])/297 + (21073747*s[58])/7128 - 
       (18654745*s[59])/7128 + (4463315*s[60])/4752 - 
       (63194969*s[61])/64152 + 9*s[71] + 4*s[74] - 4*s[75] - 88*s[79] - 
       (106*s[80])/3 + 516*s[82] + 96*s[85]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u]*(8*s[2] + 54*s[3] - 
       438*s[4] + (4487*s[5])/22 + (12273*s[6])/44 - (49455*s[7])/44 + 
       (42925*s[8])/132 + (12131*s[9])/12 - (1027*s[10])/6 + 
       (159391*s[11])/88 + (244257*s[12])/88 + (41851*s[13])/22 - 
       (49369*s[14])/22 + (7147*s[15])/12 + (16285*s[16])/11 - 
       (81397*s[17])/88 - (4261*s[18])/18 + (4613*s[19])/9 + 
       (41483*s[20])/99 - (285673*s[21])/396 - (323545*s[22])/396 - 
       (415223*s[23])/88 - (1033961*s[24])/792 + (23643523*s[25])/7128 - 
       (4104145*s[26])/7128 - (11*s[33])/2 + 34*s[34] + 32*s[35] + 
       (65*s[36])/3 - (233*s[37])/3 - 201*s[38] + (2675*s[39])/4 - 
       (8141*s[40])/12 + (2309*s[41])/4 - (11935*s[42])/12 - 
       (30955*s[43])/132 + (106547*s[44])/264 + (20579*s[45])/66 + 
       (2441*s[46])/44 - (429079*s[47])/792 + (405227*s[48])/792 + 
       (1165291*s[49])/792 - (12629*s[50])/66 - (740363*s[51])/792 - 
       (368789*s[52])/792 - (49903*s[53])/132 + (10060*s[54])/11 - 
       (1242985*s[55])/264 - (1180891*s[56])/792 - (3656431*s[57])/297 + 
       (21073747*s[58])/7128 - (18654745*s[59])/7128 + (4463315*s[60])/4752 - 
       (63194969*s[61])/64152 + 9*s[71] + 4*s[74] - 4*s[75] - 88*s[79] - 
       (106*s[80])/3 + 516*s[82] + 96*s[85]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      ((79*s[2])/2 + (305*s[3])/4 + (1869*s[4])/8 + (16745*s[5])/22 + 
       (118499*s[6])/88 + (16201451*s[7])/1584 - (1228961*s[8])/2376 - 
       (469357*s[9])/54 - (352759*s[10])/108 - (17157293*s[11])/1584 - 
       (4325755*s[12])/396 - (3337585*s[13])/528 - (5227061*s[14])/1584 - 
       (236773*s[15])/16 - (395645*s[16])/22 - (25473907*s[17])/1584 - 
       (174604*s[18])/81 - (966853*s[19])/648 - (157651123*s[20])/7128 - 
       (127478951*s[21])/14256 + (75137707*s[22])/14256 + 
       (1076993*s[23])/132 + (41261953*s[24])/3564 - (817909003*s[25])/
        64152 + (522045199*s[26])/64152 - 7*s[30] + 18*s[31] + (49*s[33])/4 - 
       27*s[34] + (45*s[35])/2 - (167*s[36])/6 - (29*s[37])/2 + 178*s[38] - 
       (1747*s[39])/2 + (5519*s[40])/6 - (1359*s[41])/2 + (7333*s[42])/6 + 
       (59287*s[43])/66 - (235537*s[44])/264 + (57401*s[45])/44 - 
       (1199051*s[46])/132 + (170807*s[47])/792 + (239447*s[48])/792 - 
       (3286181*s[49])/792 + (448651*s[50])/66 + (541999*s[51])/792 + 
       (491737*s[52])/792 - (1026143*s[53])/198 + (25439*s[54])/66 - 
       (8655733*s[55])/264 - (6806507*s[56])/792 + (2682013*s[57])/1188 - 
       (89286427*s[58])/7128 + (93755701*s[59])/7128 + 
       (350051333*s[60])/4752 - (291243151*s[61])/64152 - 7*s[65] - 
       16*s[66] + 18*s[67] + 16*s[68] + 36*s[69] + 7*s[71] + 18*s[72] - 
       22*s[73] - (15*s[74])/2 + (15*s[75])/2 - 9*s[77] + 50*s[78] - 
       100*s[79] + 3*s[80] + 489*s[82] + 9*s[83] - 30*s[84] + 96*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      (s[2]/2 + (513*s[3])/4 + (3295*s[4])/8 + (11503*s[5])/44 + 
       (78311*s[6])/88 + (9990683*s[7])/1584 - (564955*s[8])/792 - 
       (88307*s[9])/18 - (14768*s[10])/9 - (1215497*s[11])/176 - 
       (252167*s[12])/33 - (7026451*s[13])/1584 - (132177*s[14])/176 - 
       (1201373*s[15])/144 - (4306021*s[16])/396 - (13597679*s[17])/1584 - 
       1198*s[18] - (75637*s[19])/72 - (3228965*s[20])/264 - 
       (20405813*s[21])/4752 + (14709725*s[22])/4752 + (1569325*s[23])/198 + 
       (2042438*s[24])/297 - (192156769*s[25])/21384 + 
       (103521529*s[26])/21384 - s[28] - 16*s[29] + 8*s[30] - 14*s[31] - 
       s[32] + s[33] + 20*s[34] + (45*s[35])/2 - (167*s[36])/6 - 
       (29*s[37])/2 + 178*s[38] - (1747*s[39])/2 + (5519*s[40])/6 - 
       (1359*s[41])/2 + (7333*s[42])/6 + (59287*s[43])/66 - 
       (235537*s[44])/264 + (57401*s[45])/44 - (1199051*s[46])/132 + 
       (170807*s[47])/792 + (239447*s[48])/792 - (3286181*s[49])/792 + 
       (448651*s[50])/66 + (541999*s[51])/792 + (491737*s[52])/792 - 
       (1026143*s[53])/198 + (25439*s[54])/66 - (8655733*s[55])/264 - 
       (6806507*s[56])/792 + (2682013*s[57])/1188 - (89286427*s[58])/7128 + 
       (93755701*s[59])/7128 + (350051333*s[60])/4752 - 
       (291243151*s[61])/64152 - 7*s[65] - 16*s[66] + 18*s[67] + 16*s[68] + 
       36*s[69] + 7*s[71] + 18*s[72] - 22*s[73] - (15*s[74])/2 + 
       (15*s[75])/2 - 9*s[77] + 50*s[78] - 100*s[79] + 3*s[80] + 489*s[82] + 
       9*s[83] - 30*s[84] + 96*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 0, 1}, 1 - v]*(8*s[2] + (163*s[3])/4 + (1041*s[4])/8 + 
       (7649*s[5])/44 + (34827*s[6])/88 + (696435*s[7])/176 - 
       (535885*s[8])/2376 - (352831*s[9])/108 - (39266*s[10])/27 - 
       (6752617*s[11])/1584 - (3516967*s[12])/792 - (3991489*s[13])/1584 - 
       (1682515*s[14])/1584 - (813845*s[15])/144 - (5565125*s[16])/792 - 
       (9439615*s[17])/1584 - (107503*s[18])/162 - (571421*s[19])/648 - 
       (61783955*s[20])/7128 - (44702761*s[21])/14256 + 
       (29189249*s[22])/14256 + (1009007*s[23])/396 + (17894075*s[24])/3564 - 
       (82941659*s[25])/16038 + (48345065*s[26])/16038 - 7*s[30] - s[32]/2 + 
       2*s[33] + 5*s[34] + 26*s[35] + (29*s[36])/3 - (187*s[37])/6 + 
       61*s[38] - (681*s[39])/4 + (2899*s[40])/12 - (757*s[41])/4 + 
       (1955*s[42])/12 + (54017*s[43])/132 - (105475*s[44])/264 + 
       (90415*s[45])/132 - (44606*s[46])/11 - (175117*s[47])/792 + 
       (538013*s[48])/792 - (1559765*s[49])/792 + (216883*s[50])/66 + 
       (32737*s[51])/792 + (23737*s[52])/792 - (75896*s[53])/33 - 
       (4816*s[54])/11 - (4171085*s[55])/264 - (2925427*s[56])/792 - 
       (847201*s[57])/297 - (32681333*s[58])/7128 + (35046389*s[59])/7128 + 
       (179497061*s[60])/4752 - (65528995*s[61])/32076 + 2*s[70] - s[71] - 
       4*s[73] + (7*s[74])/2 - (9*s[75])/2 - 2*s[77] + 16*s[79] - 
       (25*s[80])/3 + 588*s[82] - 9*s[83] + 30*s[84] + 96*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      (8*s[2] + (163*s[3])/4 + (345*s[4])/8 + (2590*s[5])/11 + 
       (45193*s[6])/88 + (5692723*s[7])/1584 - (89665*s[8])/792 - 
       (54905*s[9])/18 - (48443*s[10])/36 - (2032079*s[11])/528 - 
       (1013875*s[12])/264 - (3666665*s[13])/1584 - (812165*s[14])/528 - 
       (748417*s[15])/144 - (5180233*s[16])/792 - (9390943*s[17])/1584 - 
       (60961*s[18])/108 - (174163*s[19])/216 - (19286659*s[20])/2376 - 
       (4920389*s[21])/1584 + (8835803*s[22])/4752 + (101680*s[23])/99 + 
       (5560685*s[24])/1188 - (32103707*s[25])/7128 + (19977935*s[26])/7128 - 
       s[32]/2 + (15*s[33])/2 + 14*s[34] + 26*s[35] + (29*s[36])/3 - 
       (187*s[37])/6 + 61*s[38] - (681*s[39])/4 + (2899*s[40])/12 - 
       (757*s[41])/4 + (1955*s[42])/12 + (54017*s[43])/132 - 
       (105475*s[44])/264 + (90415*s[45])/132 - (44606*s[46])/11 - 
       (175117*s[47])/792 + (538013*s[48])/792 - (1559765*s[49])/792 + 
       (216883*s[50])/66 + (32737*s[51])/792 + (23737*s[52])/792 - 
       (75896*s[53])/33 - (4816*s[54])/11 - (4171085*s[55])/264 - 
       (2925427*s[56])/792 - (847201*s[57])/297 - (32681333*s[58])/7128 + 
       (35046389*s[59])/7128 + (179497061*s[60])/4752 - 
       (65528995*s[61])/32076 + 2*s[70] - s[71] - 4*s[73] + (7*s[74])/2 - 
       (9*s[75])/2 - 2*s[77] + 16*s[79] - (25*s[80])/3 + 588*s[82] - 
       9*s[83] + 30*s[84] + 96*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*(s[2]/6 + (273*s[3])/4 + 
       (3243*s[4])/2 + (511675*s[5])/528 + (2108057*s[6])/792 + 
       (705244127*s[7])/28512 - (9681673*s[8])/4752 - (9019153*s[9])/432 - 
       (173368*s[10])/27 - (64910321*s[11])/2376 - (95513173*s[12])/3168 - 
       (519473995*s[13])/28512 - (25440389*s[14])/9504 - 
       (84320375*s[15])/2592 - (591193355*s[16])/14256 - 
       (445578649*s[17])/14256 - (16677701*s[18])/3888 - 
       (15113215*s[19])/3888 - (260803709*s[20])/5346 - 
       (1471115959*s[21])/85536 + (371785001*s[22])/28512 + 
       (810025025*s[23])/28512 + (780055747*s[24])/28512 - 
       (13524125957*s[25])/384912 + (7261658333*s[26])/384912 + 
       (29*s[30])/6 - (31*s[31])/9 - (101*s[32])/9 - (377*s[33])/72 + 
       (3*s[34])/2 - (611*s[35])/18 - (3479*s[36])/108 + (4235*s[37])/54 + 
       (28141*s[38])/36 - (417217*s[39])/144 + (1431119*s[40])/432 - 
       (125477*s[41])/48 + (1768549*s[42])/432 + (12995821*s[43])/4752 - 
       (3324133*s[44])/1188 + (3654577*s[45])/1188 - (112390643*s[46])/4752 + 
       (11390855*s[47])/14256 + (693071*s[48])/891 - (172565633*s[49])/
        14256 + (43415969*s[50])/2376 + (2581093*s[51])/891 + 
       (33319219*s[52])/14256 - (22241537*s[53])/1782 + 
       (1317329*s[54])/2376 - (23776202*s[55])/297 - (100175137*s[56])/4752 + 
       (30416005*s[57])/1584 - (389159323*s[58])/10692 + 
       (787131881*s[59])/21384 + (16881239063*s[60])/85536 - 
       (488377663*s[61])/48114 + (5*s[62])/6 - s[64]/2 + (5*s[65])/6 + 
       (22*s[66])/3 - 8*s[67] - 11*s[68] - (32*s[69])/3 + (44*s[70])/3 - 
       (23*s[71])/6 - (19*s[72])/9 - (35*s[73])/18 - (221*s[74])/36 + 
       (239*s[75])/36 - (26*s[76])/9 - (517*s[77])/18 - (127*s[78])/6 + 
       (1124*s[79])/3 - (4913*s[80])/54 - s[81]/12 + 289*s[82] - 
       (23*s[83])/6 + (391*s[84])/3 + 96*s[85]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 0, 1}, 1 - u]*((16*s[2])/3 + (17*s[3])/6 + 
       (18371*s[4])/12 + (148717*s[5])/132 + (166975*s[6])/66 + 
       (828662*s[7])/33 - (813385*s[8])/396 - (191801*s[9])/9 - 
       (120905*s[10])/18 - (1204035*s[11])/44 - (983786*s[12])/33 - 
       (2333123*s[13])/132 - (70109*s[14])/22 - (134901*s[15])/4 - 
       (5581997*s[16])/132 - (2170655*s[17])/66 - (123862*s[18])/27 - 
       (206233*s[19])/54 - (59565395*s[20])/1188 - (21375881*s[21])/1188 + 
       (15711649*s[22])/1188 + (1248801*s[23])/44 + (32518243*s[24])/1188 - 
       (743771971*s[25])/21384 + (406897165*s[26])/21384 + (8*s[30])/3 + 
       (16*s[31])/3 - (35*s[32])/6 - (59*s[33])/6 - (22*s[34])/3 - 
       (64*s[35])/3 - (182*s[36])/3 + 66*s[37] + 848*s[38] - 
       (20501*s[39])/6 + (7671*s[40])/2 - (18547*s[41])/6 + (29801*s[42])/6 + 
       (64721*s[43])/22 - (34201*s[44])/11 + (238961*s[45])/66 - 
       (915890*s[46])/33 + (13810*s[47])/11 + (8093*s[48])/66 - 
       (445919*s[49])/33 + (238983*s[50])/11 + (234607*s[51])/66 + 
       (184735*s[52])/66 - (496060*s[53])/33 + (7280*s[54])/11 - 
       (18908143*s[55])/198 - (817900*s[56])/33 + (2165384*s[57])/99 - 
       (12611185*s[58])/297 + (25576943*s[59])/594 + (90417529*s[60])/396 - 
       (129433849*s[61])/10692 + 32*s[63] + 6*s[68] - 10*s[69] - 2*s[71] + 
       (32*s[72])/3 - (50*s[74])/3 + (50*s[75])/3 - (32*s[76])/3 + 6*s[77] + 
       (16*s[78])/3 + 364*s[79] - (286*s[80])/3 + 304*s[82] + s[83] + 
       166*s[84] + 96*s[85]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((52*s[2])/3 + (83*s[3])/6 + (4679*s[4])/3 + (153793*s[5])/132 + 
       (361397*s[6])/132 + (6810593*s[7])/264 - (623474*s[8])/297 - 
       (589648*s[9])/27 - (369379*s[10])/54 - (22385531*s[11])/792 - 
       (6105337*s[12])/198 - (14656385*s[13])/792 - (2528261*s[14])/792 - 
       (2478487*s[15])/72 - (17199781*s[16])/396 - (26574623*s[17])/792 - 
       (1494767*s[18])/324 - (1286941*s[19])/324 - (91333133*s[20])/1782 - 
       (131291945*s[21])/7128 + (96859159*s[22])/7128 + (2888363*s[23])/99 + 
       (100965449*s[24])/3564 - (2313703343*s[25])/64152 + 
       (1261561205*s[26])/64152 - (7*s[30])/3 + (16*s[31])/3 - (10*s[32])/3 - 
       (59*s[33])/6 - (22*s[34])/3 + (80*s[35])/3 - (245*s[36])/3 + 
       (259*s[37])/3 + 905*s[38] - (42589*s[39])/12 + (15903*s[40])/4 - 
       (37649*s[41])/12 + (61303*s[42])/12 + (138329*s[43])/44 - 
       (288809*s[44])/88 + (493277*s[45])/132 - (314861*s[46])/11 + 
       (103553*s[47])/88 + (104453*s[48])/264 - (3768349*s[49])/264 + 
       (243443*s[50])/11 + (941137*s[51])/264 + (758539*s[52])/264 - 
       (1523360*s[53])/99 + (17186*s[54])/33 - (77460835*s[55])/792 - 
       (20212481*s[56])/792 + (27732895*s[57])/1188 - 
       (313719265*s[58])/7128 + (318649033*s[59])/7128 + 
       (372676385*s[60])/1584 - (398448467*s[61])/32076 + 8*s[62] + 3*s[68] + 
       3*s[69] - 2*s[71] + (32*s[72])/3 - (50*s[74])/3 + (50*s[75])/3 + 
       (31*s[76])/3 + 3*s[77] - (2*s[78])/3 + 320*s[79] - (239*s[80])/3 + 
       304*s[82] + s[83] + 166*s[84] + 96*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((-85*s[2])/6 + (281*s[3])/6 + (18473*s[4])/12 + (40486*s[5])/33 + 
       (363311*s[6])/132 + (3416423*s[7])/132 - (616676*s[8])/297 - 
       (1183865*s[9])/54 - (744929*s[10])/108 - (5599361*s[11])/198 - 
       (12184175*s[12])/396 - (7241419*s[13])/396 - (351157*s[14])/99 - 
       (1249769*s[15])/36 - (4324621*s[16])/99 - (6730223*s[17])/198 - 
       (784471*s[18])/162 - (620945*s[19])/162 - (184985803*s[20])/3564 - 
       (33675137*s[21])/1782 + (48485003*s[22])/3564 + (11676113*s[23])/396 + 
       (25130639*s[24])/891 - (1149249577*s[25])/32076 + 
       (318484109*s[26])/16038 - 4*s[27] + (8*s[30])/3 - (47*s[31])/3 - 
       (10*s[32])/3 - (379*s[33])/12 + (26*s[34])/3 + (80*s[35])/3 - 
       (245*s[36])/3 + (259*s[37])/3 + 905*s[38] - (42589*s[39])/12 + 
       (15903*s[40])/4 - (37649*s[41])/12 + (61303*s[42])/12 + 
       (138329*s[43])/44 - (288809*s[44])/88 + (493277*s[45])/132 - 
       (314861*s[46])/11 + (103553*s[47])/88 + (104453*s[48])/264 - 
       (3768349*s[49])/264 + (243443*s[50])/11 + (941137*s[51])/264 + 
       (758539*s[52])/264 - (1523360*s[53])/99 + (17186*s[54])/33 - 
       (77460835*s[55])/792 - (20212481*s[56])/792 + (27732895*s[57])/1188 - 
       (313719265*s[58])/7128 + (318649033*s[59])/7128 + 
       (372676385*s[60])/1584 - (398448467*s[61])/32076 + 8*s[62] + 3*s[68] + 
       3*s[69] - 2*s[71] + (32*s[72])/3 - (50*s[74])/3 + (50*s[75])/3 + 
       (31*s[76])/3 + 3*s[77] - (2*s[78])/3 + 320*s[79] - (239*s[80])/3 + 
       304*s[82] + s[83] + 166*s[84] + 96*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((119*s[2])/18 + (2011*s[3])/36 + (135565*s[4])/72 + (89713*s[5])/72 + 
       (113417*s[6])/36 + (75684041*s[7])/2592 - (3118265*s[8])/1296 - 
       (31886399*s[9])/1296 - (9758701*s[10])/1296 - (27920887*s[11])/864 - 
       (15401831*s[12])/432 - (55752265*s[13])/2592 - (2663827*s[14])/864 - 
       (99517693*s[15])/2592 - (31778443*s[16])/648 - (96038807*s[17])/2592 - 
       (5072159*s[18])/972 - (17593069*s[19])/3888 - (55887839*s[20])/972 - 
       (53353687*s[21])/2592 + (119587603*s[22])/7776 + 
       (44969995*s[23])/1296 + (62266045*s[24])/1944 - 
       (483254467*s[25])/11664 + (130574069*s[26])/5832 + (32*s[30])/9 - 
       (10*s[31])/9 + (59*s[32])/18 - (211*s[33])/12 + (29*s[34])/9 - 
       (34*s[35])/3 - (1519*s[36])/27 + (4843*s[37])/54 + (10088*s[38])/9 - 
       (51305*s[39])/12 + (516325*s[40])/108 - (133775*s[41])/36 + 
       (657425*s[42])/108 + (406045*s[43])/108 - (862451*s[44])/216 + 
       (442429*s[45])/108 - (1765207*s[46])/54 + (898669*s[47])/648 + 
       (397975*s[48])/648 - (11121547*s[49])/648 + (676087*s[50])/27 + 
       (2714027*s[51])/648 + (2206385*s[52])/648 - (1389358*s[53])/81 + 
       (10636*s[54])/27 - (2611673*s[55])/24 - (685807*s[56])/24 + 
       (5095879*s[57])/162 - (100059727*s[58])/1944 + 
       (101149999*s[59])/1944 + (1043299147*s[60])/3888 - 
       (6723971*s[61])/486 + (26*s[70])/3 - (5*s[71])/3 + (32*s[72])/3 - 
       (56*s[73])/9 - (50*s[74])/3 + (52*s[75])/3 - (8*s[76])/3 - 
       (88*s[77])/9 + (58*s[78])/9 + (1238*s[79])/3 - (3269*s[80])/27 + 
       338*s[82] - (5*s[83])/6 + 151*s[84] + (292*s[85])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*
      ((129*s[2])/8 + (1339*s[3])/24 + (40919*s[4])/48 + (84809*s[5])/132 + 
       (292499*s[6])/176 + (93114859*s[7])/6336 - (32147557*s[8])/28512 - 
       (32139125*s[9])/2592 - (10541125*s[10])/2592 - 
       (306728881*s[11])/19008 - (166581445*s[12])/9504 - 
       (199871599*s[13])/19008 - (40691377*s[14])/19008 - 
       (33875155*s[15])/1728 - (118600903*s[16])/4752 - 
       (369652615*s[17])/19008 - (10411151*s[18])/3888 - 
       (17862167*s[19])/7776 - (2524854473*s[20])/85536 - 
       (1830269965*s[21])/171072 + (1320846713*s[22])/171072 + 
       (150898783*s[23])/9504 + (698112491*s[24])/42768 - 
       (3931878293*s[25])/192456 + (2172342635*s[26])/192456 + s[29]/2 + 
       s[30]/6 + 3*s[31] - (73*s[32])/24 - (2*s[33])/3 - (7*s[34])/6 - 
       s[35]/3 - (83*s[36])/3 + (205*s[37])/18 + (17401*s[38])/36 - 
       (138781*s[39])/72 + (157117*s[40])/72 - (13947*s[41])/8 + 
       (197477*s[42])/72 + (1443901*s[43])/792 - (1001021*s[44])/528 + 
       (844343*s[45])/396 - (12911765*s[46])/792 + (747217*s[47])/1584 + 
       (969703*s[48])/1584 - (13181701*s[49])/1584 + (1250504*s[50])/99 + 
       (8988791*s[51])/4752 + (2361191*s[52])/1584 - (20681317*s[53])/2376 + 
       (9349*s[54])/198 - (87884719*s[55])/1584 - (68648725*s[56])/4752 + 
       (86139011*s[57])/7128 - (1054430063*s[58])/42768 + 
       (1069871201*s[59])/42768 + (428543177*s[60])/3168 - 
       (2750474315*s[61])/384912 + s[66] - s[67] - (11*s[68])/2 + 3*s[69] - 
       2*s[71] + 6*s[72] + s[73] - (43*s[74])/6 + (43*s[75])/6 - 
       (13*s[76])/2 - (16*s[77])/3 + (4*s[78])/3 + (493*s[79])/3 - 
       (310*s[80])/9 + 404*s[82] + (3*s[83])/4 + (177*s[84])/2 + 102*s[85]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((571*s[2])/36 - (1225*s[3])/72 + (80311*s[4])/72 + (215723*s[5])/198 + 
       (901819*s[6])/396 + (635286013*s[7])/28512 - (5326999*s[8])/3564 - 
       (24640163*s[9])/1296 - (4294397*s[10])/648 - (230753789*s[11])/9504 - 
       (123386089*s[12])/4752 - (433457687*s[13])/28512 - 
       (40086863*s[14])/9504 - (79064077*s[15])/2592 - 
       (546821131*s[16])/14256 - (877144231*s[17])/28512 - 
       (7905799*s[18])/1944 - (7184237*s[19])/1944 - (989835965*s[20])/
        21384 - (161806607*s[21])/9504 + (1011018731*s[22])/85536 + 
       (299369891*s[23])/14256 + (67377388*s[24])/2673 - 
       (7715254145*s[25])/256608 + (4377024473*s[26])/256608 + s[28] - 
       13*s[29] - (85*s[30])/36 - (53*s[31])/18 - (79*s[32])/18 + 
       (593*s[33])/48 - (745*s[34])/36 + 2*s[35] - (1330*s[36])/27 - 
       (10007*s[37])/216 + (17225*s[38])/36 - (22303*s[39])/12 + 
       (224743*s[40])/108 - (124843*s[41])/72 + (559975*s[42])/216 + 
       (2145899*s[43])/1188 - (18532909*s[44])/9504 + (9686255*s[45])/4752 - 
       (76042585*s[46])/4752 + (7004699*s[47])/28512 + 
       (24301715*s[48])/28512 - (255689681*s[49])/28512 + 
       (3842150*s[50])/297 + (47963875*s[51])/28512 + 
       (35954245*s[52])/28512 - (126006077*s[53])/14256 - 
       (355444*s[54])/297 - (177247747*s[55])/3168 - (123194477*s[56])/9504 + 
       (110226005*s[57])/14256 - (647924245*s[58])/28512 + 
       (226500547*s[59])/9504 + (23368285445*s[60])/171072 - 
       (2524308923*s[61])/384912 - (3*s[62])/2 - s[64] - (25*s[66])/3 + 
       (65*s[67])/6 - (49*s[68])/3 + 32*s[69] - 25*s[70] - (29*s[71])/12 + 
       (22*s[72])/3 - (47*s[73])/9 - (199*s[74])/12 + (46*s[75])/3 + 
       (21*s[76])/2 + (98*s[77])/9 + (154*s[78])/9 + 118*s[79] - 
       (947*s[80])/108 + s[81]/6 + 444*s[82] + (47*s[83])/12 + 
       (257*s[84])/2 + (322*s[85])/3) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*((187*s[2])/12 + (34*s[3])/3 + (26833*s[4])/24 + 
       (225271*s[5])/264 + (94309*s[6])/44 + (3390687*s[7])/176 - 
       (3561743*s[8])/2376 - (3525193*s[9])/216 - (565393*s[10])/108 - 
       (33406673*s[11])/1584 - (18176183*s[12])/792 - (21774881*s[13])/1584 - 
       (4540271*s[14])/1584 - (3688361*s[15])/144 - (12876905*s[16])/396 - 
       (39976055*s[17])/1584 - (2303099*s[18])/648 - (1836835*s[19])/648 - 
       (138056117*s[20])/3564 - (199807799*s[21])/14256 + 
       (144780571*s[22])/14256 + (16788935*s[23])/792 + 
       (150740207*s[24])/7128 - (1712417611*s[25])/64152 + 
       (236450521*s[26])/16038 + (7*s[30])/6 + (7*s[31])/3 - (49*s[32])/12 - 
       (215*s[33])/24 + s[34]/6 - (67*s[35])/3 - 47*s[36] + (445*s[37])/6 + 
       626*s[38] - (29965*s[39])/12 + (34237*s[40])/12 - (27161*s[41])/12 + 
       (14305*s[42])/4 + (101565*s[43])/44 - (645827*s[44])/264 + 
       (369679*s[45])/132 - (1406407*s[46])/66 + (59251*s[47])/88 + 
       (168931*s[48])/264 - (920429*s[49])/88 + (362199*s[50])/22 + 
       (1990421*s[51])/792 + (529711*s[52])/264 - (4502713*s[53])/396 + 
       (27757*s[54])/66 - (57568957*s[55])/792 - (15355963*s[56])/792 + 
       (19421849*s[57])/1188 - (231837101*s[58])/7128 + 
       (233722835*s[59])/7128 + (278917091*s[60])/1584 - 
       (604838189*s[61])/64152 + 4*s[70] - 2*s[71] + (14*s[72])/3 - 6*s[73] - 
       (73*s[74])/6 + (73*s[75])/6 - (14*s[76])/3 - 2*s[77] - (2*s[78])/3 + 
       294*s[79] - (239*s[80])/3 + 348*s[82] + (17*s[83])/2 + 163*s[84] + 
       108*s[85]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*((81*s[2])/4 - (629*s[3])/24 + (74705*s[4])/48 + 
       (139075*s[5])/132 + (481793*s[6])/176 + (240541955*s[7])/9504 - 
       (9778937*s[8])/4752 - (4634993*s[9])/216 - (719465*s[10])/108 - 
       (88223719*s[11])/3168 - (12106625*s[12])/396 - 
       (174564595*s[13])/9504 - (9884431*s[14])/3168 - (28835273*s[15])/864 - 
       (101096047*s[16])/2376 - (307666247*s[17])/9504 - 
       (1499047*s[18])/324 - (4736993*s[19])/1296 - (717989687*s[20])/14256 - 
       (6382545*s[21])/352 + (382081561*s[22])/28512 + 
       (69687023*s[23])/2376 + (196253017*s[24])/7128 - 
       (758786635*s[25])/21384 + (51866162*s[26])/2673 + (7*s[30])/6 + 
       (23*s[31])/3 - 8*s[32] + (17*s[33])/8 - (67*s[34])/6 - (33*s[35])/2 - 
       (617*s[36])/9 + (1211*s[37])/18 + (2567*s[38])/3 - (84643*s[39])/24 + 
       (289729*s[40])/72 - (76571*s[41])/24 + (369491*s[42])/72 + 
       (2455679*s[43])/792 - (5356819*s[44])/1584 + (670115*s[45])/198 - 
       (21716809*s[46])/792 + (5282927*s[47])/4752 + (2616197*s[48])/4752 - 
       (67265069*s[49])/4752 + (4194347*s[50])/198 + (17017741*s[51])/4752 + 
       (13538125*s[52])/4752 - (17158507*s[53])/1188 + (94745*s[54])/198 - 
       (48422437*s[55])/528 - (12864623*s[56])/528 + (62643895*s[57])/2376 - 
       (615017429*s[58])/14256 + (620138561*s[59])/14256 + 
       (6417809195*s[60])/28512 - (250816481*s[61])/21384 - s[64]/2 - s[65] - 
       (5*s[66])/2 + 2*s[67] + s[68] + (11*s[69])/2 - 4*s[70] - s[71] + 
       13*s[72] - (31*s[73])/3 - (75*s[74])/4 + (73*s[75])/4 - 2*s[76] - 
       (8*s[77])/3 + (38*s[78])/3 + 448*s[79] - (1120*s[80])/9 + 374*s[82] + 
       (5*s[83])/2 + 195*s[84] + 108*s[85]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*((23*s[2])/12 + 
       (721*s[3])/24 + (77053*s[4])/48 + (122003*s[5])/132 + 
       (1411895*s[6])/528 + (227857547*s[7])/9504 - (9556847*s[8])/4752 - 
       (2178583*s[9])/108 - (1336255*s[10])/216 - (83897947*s[11])/3168 - 
       (11569055*s[12])/396 - (168271495*s[13])/9504 - (8287363*s[14])/3168 - 
       (27096893*s[15])/864 - (95642071*s[16])/2376 - 
       (288789983*s[17])/9504 - (2788379*s[18])/648 - (4607117*s[19])/1296 - 
       (671938121*s[20])/14256 - (53211469*s[21])/3168 + 
       (360437917*s[22])/28512 + (67934987*s[23])/2376 + 
       (46474957*s[24])/1782 - (1454468525*s[25])/42768 + 
       (785282489*s[26])/42768 - 2*s[29] + (23*s[30])/6 - (11*s[31])/3 - 
       (35*s[32])/6 - (15*s[33])/8 + (13*s[34])/3 - (33*s[35])/2 - 
       (617*s[36])/9 + (1211*s[37])/18 + (2567*s[38])/3 - (84643*s[39])/24 + 
       (289729*s[40])/72 - (76571*s[41])/24 + (369491*s[42])/72 + 
       (2455679*s[43])/792 - (5356819*s[44])/1584 + (670115*s[45])/198 - 
       (21716809*s[46])/792 + (5282927*s[47])/4752 + (2616197*s[48])/4752 - 
       (67265069*s[49])/4752 + (4194347*s[50])/198 + (17017741*s[51])/4752 + 
       (13538125*s[52])/4752 - (17158507*s[53])/1188 + (94745*s[54])/198 - 
       (48422437*s[55])/528 - (12864623*s[56])/528 + (62643895*s[57])/2376 - 
       (615017429*s[58])/14256 + (620138561*s[59])/14256 + 
       (6417809195*s[60])/28512 - (250816481*s[61])/21384 - s[64]/2 - s[65] - 
       (5*s[66])/2 + 2*s[67] + s[68] + (11*s[69])/2 - 4*s[70] - s[71] + 
       13*s[72] - (31*s[73])/3 - (75*s[74])/4 + (73*s[75])/4 - 2*s[76] - 
       (8*s[77])/3 + (38*s[78])/3 + 448*s[79] - (1120*s[80])/9 + 374*s[82] + 
       (5*s[83])/2 + 195*s[84] + 108*s[85]) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((49*s[2])/12 + (1109*s[3])/24 + (18521*s[4])/36 + (8119*s[5])/24 + 
       (137339*s[6])/144 + (45507419*s[7])/5184 - (5063407*s[8])/7776 - 
       (57505255*s[9])/7776 - (19809929*s[10])/7776 - (50123749*s[11])/5184 - 
       (1701085*s[12])/162 - (32612681*s[13])/5184 - (6341065*s[14])/5184 - 
       (60744299*s[15])/5184 - (19350635*s[16])/1296 - (6665279*s[17])/576 - 
       (18204721*s[18])/11664 - (35034103*s[19])/23328 - 
       (25857233*s[20])/1458 - (299524201*s[21])/46656 + 
       (214987103*s[22])/46656 + (11700127*s[23])/1296 + 
       (58010569*s[24])/5832 - (640197221*s[25])/52488 + 
       (1417908683*s[26])/209952 - (31*s[30])/12 - (65*s[31])/18 - 
       (17*s[32])/18 - (343*s[33])/144 + (39*s[34])/4 + (17*s[35])/18 - 
       (1175*s[36])/108 - (1763*s[37])/48 + (10001*s[38])/36 - 
       (35143*s[39])/36 + (121037*s[40])/108 - (3773*s[41])/4 + 
       (71999*s[42])/54 + (635183*s[43])/594 - (1227775*s[44])/1188 + 
       (469883*s[45])/352 - (89563643*s[46])/9504 + (1306583*s[47])/14256 + 
       (9146327*s[48])/14256 - (34517977*s[49])/7128 + 
       (35691277*s[50])/4752 + (1695833*s[51])/1782 + (632425*s[52])/891 - 
       (144827557*s[53])/28512 - (594505*s[54])/1188 - 
       (78514945*s[55])/2376 - (117075221*s[56])/14256 + 
       (88795981*s[57])/21384 - (3483151403*s[58])/256608 + 
       (894307823*s[59])/64152 + (13835260123*s[60])/171072 - 
       (19428298867*s[61])/4618944 - s[64]/4 + s[65]/8 + (4*s[66])/3 + 
       s[67]/6 - (19*s[68])/3 + (8*s[69])/3 + (109*s[70])/12 - (11*s[71])/3 - 
       s[72]/3 - (5*s[73])/18 - (23*s[74])/18 + (37*s[75])/36 + 
       (19*s[76])/4 - (529*s[77])/36 - (181*s[78])/18 + (1039*s[79])/18 + 
       (857*s[80])/72 + (593*s[82])/3 - (25*s[83])/6 + (111*s[84])/2 + 
       109*s[85]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*
      ((41*s[2])/4 + (209*s[3])/8 + (6965*s[4])/16 + (25895*s[5])/66 + 
       (1480427*s[6])/1584 + (26467945*s[7])/3168 - (2855801*s[8])/4752 - 
       (1529429*s[9])/216 - (259289*s[10])/108 - (28902985*s[11])/3168 - 
       (7777963*s[12])/792 - (18528791*s[13])/3168 - (4605905*s[14])/3168 - 
       (9728489*s[15])/864 - (22615745*s[16])/1584 - (35914343*s[17])/3168 - 
       (997453*s[18])/648 - (1717879*s[19])/1296 - (243103759*s[20])/14256 - 
       (177623363*s[21])/28512 + (125263615*s[22])/28512 + 
       (13434875*s[23])/1584 + (133621529*s[24])/14256 - 
       (1465941577*s[25])/128304 + (821265583*s[26])/128304 - s[30]/2 + 
       2*s[31] + (3*s[32])/2 + s[33] + s[34]/2 + 4*s[35] - 13*s[36] - 
       (443*s[37])/36 + (18847*s[38])/72 - (74273*s[39])/72 + 
       (86081*s[40])/72 - (23279*s[41])/24 + (52001*s[42])/36 + 
       (875579*s[43])/792 - (591199*s[44])/528 + (1098409*s[45])/792 - 
       (331357*s[46])/33 + (20687*s[47])/176 + (115507*s[48])/176 - 
       (2681797*s[49])/528 + (6270365*s[50])/792 + (4675789*s[51])/4752 + 
       (128661*s[52])/176 - (1087021*s[53])/198 - (29173*s[54])/132 - 
       (18637261*s[55])/528 - (4709885*s[56])/528 + (1087201*s[57])/264 - 
       (22585823*s[58])/1584 + (23188805*s[59])/1584 + (30052971*s[60])/352 - 
       (192892327*s[61])/42768 - (9*s[68])/2 + (9*s[69])/2 + (5*s[70])/2 - 
       s[71] + 4*s[72] - (9*s[74])/4 + (9*s[75])/4 - 3*s[76] - (13*s[77])/2 + 
       s[78] + 88*s[79] - (137*s[80])/6 + 433*s[82] + 48*s[84] + 110*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - v]*
      ((85*s[2])/6 + (7493*s[3])/144 + (70751*s[4])/96 + (110651*s[5])/198 + 
       (1555603*s[6])/1056 + (10137167*s[7])/792 - (21197845*s[8])/21384 - 
       (83848097*s[9])/7776 - (27459079*s[10])/7776 - (50116075*s[11])/3564 - 
       (109022125*s[12])/7128 - (261925535*s[13])/28512 - 
       (27682357*s[14])/14256 - (22098359*s[15])/1296 - 
       (620513969*s[16])/28512 - (120891143*s[17])/7128 - 
       (54704887*s[18])/23328 - (46060079*s[19])/23328 - 
       (6606857639*s[20])/256608 - (599388407*s[21])/64152 + 
       (215585153*s[22])/32076 + (197028047*s[23])/14256 + 
       (1823648237*s[24])/128304 - (20542732447*s[25])/1154736 + 
       (5684345003*s[26])/577368 + (29*s[30])/36 + (19*s[31])/6 - 
       (91*s[32])/72 - (167*s[33])/144 + (115*s[34])/36 + (7*s[35])/18 - 
       (191*s[36])/8 + (532*s[37])/27 + (29561*s[38])/72 - 
       (160915*s[39])/96 + (184087*s[40])/96 - (436835*s[41])/288 + 
       (230117*s[42])/96 + (5084683*s[43])/3168 - (888337*s[44])/528 + 
       (9258463*s[45])/4752 - (139173989*s[46])/9504 + (1954177*s[47])/4752 + 
       (5642207*s[48])/9504 - (34786591*s[49])/4752 + (1121584*s[50])/99 + 
       (15634901*s[51])/9504 + (12288247*s[52])/9504 - 
       (223101469*s[53])/28512 + (240613*s[54])/2376 - 
       (476050679*s[55])/9504 - (188577175*s[56])/14256 + 
       (891535361*s[57])/85536 - (5673457567*s[58])/256608 + 
       (5736132343*s[59])/256608 + (1156398253*s[60])/9504 - 
       (3778082383*s[61])/577368 - (11*s[68])/6 + (11*s[69])/6 + 
       (5*s[70])/6 - (19*s[71])/24 + (19*s[72])/3 - (103*s[74])/18 + 
       (103*s[75])/18 - (19*s[76])/3 - (31*s[77])/9 + (71*s[78])/18 + 
       (2879*s[79])/18 - (2417*s[80])/54 + (2849*s[82])/6 + 76*s[84] + 
       (332*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*((28*s[2])/3 + (187*s[3])/3 - 
       (1525*s[4])/6 + (9253*s[5])/66 + (15395*s[6])/132 + 
       (110177*s[7])/297 + (185893*s[8])/1188 - (31117*s[9])/108 - 
       (36409*s[10])/54 - (4831*s[11])/264 + (472163*s[12])/792 + 
       (464701*s[13])/594 - (74575*s[14])/44 - (79567*s[15])/54 - 
       (348625*s[16])/297 - (5970931*s[17])/2376 - (543*s[18])/2 - 
       (5575*s[19])/54 - (986731*s[20])/396 - (4572209*s[21])/3564 + 
       (78587*s[22])/891 - (6487439*s[23])/2376 + (6494617*s[24])/7128 + 
       (46545113*s[25])/64152 + (21825403*s[26])/64152 + (8*s[30])/3 + 
       (28*s[34])/3 + 28*s[35] + (296*s[36])/9 - (292*s[37])/9 - 166*s[38] + 
       595*s[39] - (5423*s[40])/9 + (1340*s[41])/3 - (8233*s[42])/9 - 
       (2240*s[43])/9 + (8891*s[44])/36 + (6749*s[45])/18 - (6163*s[46])/18 - 
       (26489*s[47])/54 + (30763*s[48])/54 + (108097*s[49])/108 + 
       (8417*s[50])/18 - (68015*s[51])/108 - (68207*s[52])/108 - 
       (17188*s[53])/27 + (1877*s[54])/18 - (33631*s[55])/6 - 
       (51685*s[56])/36 - (96619*s[57])/9 + (727619*s[58])/324 - 
       (642023*s[59])/324 + (4226573*s[60])/648 - (1605067*s[61])/1458 - 
       4*s[62] - 2*s[71] + (14*s[74])/3 - (14*s[75])/3 - 64*s[79] + 
       (34*s[80])/9 + 722*s[82] + 112*s[85]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v]*((28*s[2])/3 + 63*s[3] - 
       (1267*s[4])/6 + (6181*s[5])/33 + (25393*s[6])/132 + 
       (519583*s[7])/594 + (150487*s[8])/1188 - (75667*s[9])/108 - 
       (22763*s[10])/27 - (145715*s[11])/264 + (60611*s[12])/792 + 
       (337061*s[13])/1188 - (235459*s[14])/132 - (56414*s[15])/27 - 
       (639835*s[16])/297 - (8015899*s[17])/2376 - (10261*s[18])/54 - 
       (3335*s[19])/9 - (987928*s[20])/297 - (2540173*s[21])/1782 + 
       (623617*s[22])/1782 - (6857783*s[23])/2376 + (12012157*s[24])/7128 - 
       (4647169*s[25])/64152 + (37263583*s[26])/64152 + 6*s[33] + 16*s[34] + 
       28*s[35] + (296*s[36])/9 - (292*s[37])/9 - 166*s[38] + 595*s[39] - 
       (5423*s[40])/9 + (1340*s[41])/3 - (8233*s[42])/9 - (2240*s[43])/9 + 
       (8891*s[44])/36 + (6749*s[45])/18 - (6163*s[46])/18 - 
       (26489*s[47])/54 + (30763*s[48])/54 + (108097*s[49])/108 + 
       (8417*s[50])/18 - (68015*s[51])/108 - (68207*s[52])/108 - 
       (17188*s[53])/27 + (1877*s[54])/18 - (33631*s[55])/6 - 
       (51685*s[56])/36 - (96619*s[57])/9 + (727619*s[58])/324 - 
       (642023*s[59])/324 + (4226573*s[60])/648 - (1605067*s[61])/1458 - 
       4*s[62] - 2*s[71] + (14*s[74])/3 - (14*s[75])/3 - 64*s[79] + 
       (34*s[80])/9 + 722*s[82] + 112*s[85]) + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*(64*s[2] - (559*s[3])/12 + 
       (56971*s[4])/24 + (53827*s[5])/33 + (1131211*s[6])/264 + 
       (183904411*s[7])/4752 - (7493641*s[8])/2376 - (888172*s[9])/27 - 
       (1039019*s[10])/108 - (68424503*s[11])/1584 - (38146321*s[12])/792 - 
       (140206721*s[13])/4752 - (5958365*s[14])/1584 - (21310321*s[15])/432 - 
       (152333443*s[16])/2376 - (222427087*s[17])/4752 - 
       (2337973*s[18])/324 - (3384151*s[19])/648 - (538601161*s[20])/7128 - 
       (14487301*s[21])/528 + (292910183*s[22])/14256 + 
       (27848159*s[23])/594 + (148222871*s[24])/3564 - 
       (1183161523*s[25])/21384 + (643029439*s[26])/21384 + s[28] + 6*s[29] + 
       (8*s[30])/3 + (110*s[31])/3 - 12*s[32] - (29*s[33])/2 - 
       (149*s[34])/3 - 26*s[35] - (1346*s[36])/9 + (2837*s[37])/18 + 
       (5038*s[38])/3 - 6253*s[39] + (62543*s[40])/9 - (32315*s[41])/6 + 
       (159329*s[42])/18 + (541351*s[43])/99 - (4550567*s[44])/792 + 
       (2127979*s[45])/396 - (17680589*s[46])/396 + (4874791*s[47])/2376 + 
       (1939111*s[48])/2376 - (59035993*s[49])/2376 + (6707117*s[50])/198 + 
       (14199419*s[51])/2376 + (12106751*s[52])/2376 - 
       (27098719*s[53])/1188 + (50761*s[54])/99 - (38065825*s[55])/264 - 
       (10075831*s[56])/264 + (29888347*s[57])/594 - (514425541*s[58])/7128 + 
       (518081821*s[59])/7128 + (5212700305*s[60])/14256 - 
       (98229161*s[61])/5346 + 6*s[62] - s[64] - 10*s[66] + 12*s[67] + 
       4*s[68] + 28*s[69] + 20*s[70] - 2*s[71] + 20*s[72] - (76*s[73])/3 - 
       (53*s[74])/2 + 20*s[75] - 26*s[76] - (80*s[77])/3 + (128*s[78])/3 + 
       494*s[79] - (877*s[80])/9 - s[81]/6 - 92*s[82] - (55*s[83])/2 + 
       153*s[84] + 112*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - u]*((52*s[2])/3 + (67*s[3])/3 + (15221*s[4])/12 + 
       (31189*s[5])/33 + (314327*s[6])/132 + (16978441*s[7])/792 - 
       (56003*s[8])/33 - 18142*s[9] - (22969*s[10])/4 - (2070045*s[11])/88 - 
       (1695401*s[12])/66 - (12199595*s[13])/792 - (264037*s[14])/88 - 
       (2042785*s[15])/72 - (7150361*s[16])/198 - (22045117*s[17])/792 - 
       (428617*s[18])/108 - (337553*s[19])/108 - (12745001*s[20])/297 - 
       (36848093*s[21])/2376 + (8948353*s[22])/792 + (2387777*s[23])/99 + 
       (3093311*s[24])/132 - (638257295*s[25])/21384 + 
       (351150005*s[26])/21384 + (5*s[30])/3 + (10*s[31])/3 - (10*s[32])/3 - 
       (109*s[33])/12 - (7*s[34])/3 - (70*s[35])/3 - 52*s[36] + 
       (236*s[37])/3 + 720*s[38] - (17189*s[39])/6 + (19517*s[40])/6 - 
       (15397*s[41])/6 + (8217*s[42])/2 + (171043*s[43])/66 - 
       (364181*s[44])/132 + (34000*s[45])/11 - (522507*s[46])/22 + 
       (331801*s[47])/396 + (244615*s[48])/396 - (4658227*s[49])/396 + 
       (603728*s[50])/33 + (1142591*s[51])/396 + (913463*s[52])/396 - 
       (1248392*s[53])/99 + (16730*s[54])/33 - (31841759*s[55])/396 - 
       (946313*s[56])/44 + (1954526*s[57])/99 - (14519545*s[58])/396 + 
       (14605241*s[59])/396 + (464523217*s[60])/2376 - 
       (55897045*s[61])/5346 + 4*s[70] - 2*s[71] + (20*s[72])/3 - 4*s[73] - 
       (41*s[74])/3 + (41*s[75])/3 - (20*s[76])/3 - 2*s[77] + (4*s[78])/3 + 
       316*s[79] - 84*s[80] + 372*s[82] + 7*s[83] + 166*s[84] + 112*s[85]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      ((-185*s[3])/6 + (19937*s[4])/12 + (39190*s[5])/33 + (93380*s[6])/33 + 
       (8167486*s[7])/297 - (882787*s[8])/396 - (210139*s[9])/9 - 
       (265873*s[10])/36 - (23848169*s[11])/792 - (8671475*s[12])/264 - 
       (23311115*s[13])/1188 - (341812*s[14])/99 - (992509*s[15])/27 - 
       (27527983*s[16])/594 - (85071209*s[17])/2376 - (1603907*s[18])/324 - 
       (340810*s[19])/81 - (195443731*s[20])/3564 - (70286039*s[21])/3564 + 
       (8631089*s[22])/594 + (73559129*s[23])/2376 + (71633917*s[24])/2376 - 
       (2455164907*s[25])/64152 + (1342647871*s[26])/64152 + (8*s[30])/3 + 
       (32*s[31])/3 - (17*s[32])/2 + s[33]/2 - (50*s[34])/3 - 24*s[35] - 
       (614*s[36])/9 + (604*s[37])/9 + (2860*s[38])/3 - (7605*s[39])/2 + 
       (76885*s[40])/18 - (20561*s[41])/6 + (98981*s[42])/18 + 
       (669275*s[43])/198 - (2816543*s[44])/792 + (382012*s[45])/99 - 
       (6017995*s[46])/198 + (2985595*s[47])/2376 + (1026055*s[48])/2376 - 
       (36752113*s[49])/2376 + (4702427*s[50])/198 + (9173339*s[51])/2376 + 
       (7155875*s[52])/2376 - (4853080*s[53])/297 + (55769*s[54])/198 - 
       (27364687*s[55])/264 - (21175081*s[56])/792 + (29868997*s[57])/1188 - 
       (110823643*s[58])/2376 + (112850597*s[59])/2376 + 
       (3581158123*s[60])/14256 - (833872865*s[61])/64152 - 32*s[63] + 
       6*s[68] + 22*s[69] - 2*s[71] + 16*s[72] - (16*s[73])/3 - 18*s[74] + 
       18*s[75] - 16*s[76] + (10*s[77])/3 + (32*s[78])/3 + 428*s[79] - 
       (958*s[80])/9 + 364*s[82] + s[83] + 174*s[84] + 112*s[85]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      ((-40*s[2])/3 + (7*s[3])/6 + (20737*s[4])/12 + (37496*s[5])/33 + 
       (93050*s[6])/33 + (64850531*s[7])/2376 - (49763*s[8])/22 - 
       (831677*s[9])/36 - (21758*s[10])/3 - (11857705*s[11])/396 - 
       (2881787*s[12])/88 - (46669453*s[13])/2376 - (2455217*s[14])/792 - 
       (7875833*s[15])/216 - (27333943*s[16])/594 - (42079759*s[17])/1188 - 
       (1548005*s[18])/324 - (1407253*s[19])/324 - (192577153*s[20])/3564 - 
       (137219377*s[21])/7128 + (11405881*s[22])/792 + 
       (73839299*s[23])/2376 + (71360765*s[24])/2376 - 
       (2455964563*s[25])/64152 + (1328538721*s[26])/64152 + (16*s[30])/3 + 
       (16*s[31])/3 - (35*s[32])/6 - (3*s[33])/2 - (26*s[34])/3 - 24*s[35] - 
       (614*s[36])/9 + (604*s[37])/9 + (2860*s[38])/3 - (7605*s[39])/2 + 
       (76885*s[40])/18 - (20561*s[41])/6 + (98981*s[42])/18 + 
       (669275*s[43])/198 - (2816543*s[44])/792 + (382012*s[45])/99 - 
       (6017995*s[46])/198 + (2985595*s[47])/2376 + (1026055*s[48])/2376 - 
       (36752113*s[49])/2376 + (4702427*s[50])/198 + (9173339*s[51])/2376 + 
       (7155875*s[52])/2376 - (4853080*s[53])/297 + (55769*s[54])/198 - 
       (27364687*s[55])/264 - (21175081*s[56])/792 + (29868997*s[57])/1188 - 
       (110823643*s[58])/2376 + (112850597*s[59])/2376 + 
       (3581158123*s[60])/14256 - (833872865*s[61])/64152 - 32*s[63] + 
       6*s[68] + 22*s[69] - 2*s[71] + 16*s[72] - (16*s[73])/3 - 18*s[74] + 
       18*s[75] - 16*s[76] + (10*s[77])/3 + (32*s[78])/3 + 428*s[79] - 
       (958*s[80])/9 + 364*s[82] + s[83] + 174*s[84] + 112*s[85]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((44*s[2])/3 - (23*s[3])/6 + (10433*s[4])/6 + (39593*s[5])/33 + 
       (386135*s[6])/132 + (16574687*s[7])/594 - (2720999*s[8])/1188 - 
       (2543659*s[9])/108 - (200486*s[10])/27 - (24179839*s[11])/792 - 
       (26320903*s[12])/792 - (23804777*s[13])/1188 - (1279637*s[14])/396 - 
       (1012114*s[15])/27 - (13982537*s[16])/297 - (86818871*s[17])/2376 - 
       (385993*s[18])/81 - (368069*s[19])/81 - (98262997*s[20])/1782 - 
       (1298281*s[21])/66 + (52390661*s[22])/3564 + (73947437*s[23])/2376 + 
       (219727903*s[24])/7128 - (836751283*s[25])/21384 + 
       (453037813*s[26])/21384 + s[30]/3 + (16*s[31])/3 - (10*s[32])/3 - 
       (3*s[33])/2 - (26*s[34])/3 - 8*s[35] - (857*s[36])/9 + (787*s[37])/9 + 
       (2851*s[38])/3 - (15259*s[39])/4 + (153923*s[40])/36 - 
       (40933*s[41])/12 + (198673*s[42])/36 + (1363309*s[43])/396 - 
       (351079*s[44])/99 + (1609825*s[45])/396 - (6156961*s[46])/198 + 
       (1488203*s[47])/1188 + (108620*s[48])/297 - (18431375*s[49])/1188 + 
       (4792427*s[50])/198 + (1146961*s[51])/297 + (3635965*s[52])/1188 - 
       (5011342*s[53])/297 + (83429*s[54])/198 - (7078915*s[55])/66 - 
       (3638375*s[56])/132 + (7024265*s[57])/297 - (168400493*s[58])/3564 + 
       (86124949*s[59])/1782 + (228516790*s[60])/891 - 
       (286624043*s[61])/21384 + 8*s[62] + 3*s[68] + 3*s[69] - 2*s[71] + 
       16*s[72] - (16*s[73])/3 - 18*s[74] + 18*s[75] + 5*s[76] + s[77]/3 + 
       (14*s[78])/3 + 384*s[79] - (817*s[80])/9 + 364*s[82] + s[83] + 
       174*s[84] + 112*s[85]) + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 
       1 - v]*((-7*s[2])/2 + (79*s[3])/6 + (19511*s[4])/12 + 
       (179107*s[5])/132 + (387785*s[6])/132 + (33603487*s[7])/1188 - 
       (1325107*s[8])/594 - (1299437*s[9])/54 - (413923*s[10])/54 - 
       (24357775*s[11])/792 - (26346247*s[12])/792 - (23371157*s[13])/1188 - 
       (819487*s[14])/198 - (1032448*s[15])/27 - (56768777*s[16])/1188 - 
       (89197049*s[17])/2376 - (1722865*s[18])/324 - (335381*s[19])/81 - 
       (203532125*s[20])/3564 - (4130177*s[21])/198 + (26540989*s[22])/1782 + 
       (75220577*s[23])/2376 + (219281413*s[24])/7128 - 
       (207398371*s[25])/5346 + (115801897*s[26])/5346 - 4*s[27] + 
       (8*s[30])/3 - (31*s[31])/3 - 6*s[32] - (85*s[33])/4 - (2*s[34])/3 - 
       8*s[35] - (857*s[36])/9 + (787*s[37])/9 + (2851*s[38])/3 - 
       (15259*s[39])/4 + (153923*s[40])/36 - (40933*s[41])/12 + 
       (198673*s[42])/36 + (1363309*s[43])/396 - (351079*s[44])/99 + 
       (1609825*s[45])/396 - (6156961*s[46])/198 + (1488203*s[47])/1188 + 
       (108620*s[48])/297 - (18431375*s[49])/1188 + (4792427*s[50])/198 + 
       (1146961*s[51])/297 + (3635965*s[52])/1188 - (5011342*s[53])/297 + 
       (83429*s[54])/198 - (7078915*s[55])/66 - (3638375*s[56])/132 + 
       (7024265*s[57])/297 - (168400493*s[58])/3564 + (86124949*s[59])/1782 + 
       (228516790*s[60])/891 - (286624043*s[61])/21384 + 8*s[62] + 3*s[68] + 
       3*s[69] - 2*s[71] + 16*s[72] - (16*s[73])/3 - 18*s[74] + 18*s[75] + 
       5*s[76] + s[77]/3 + (14*s[78])/3 + 384*s[79] - (817*s[80])/9 + 
       364*s[82] + s[83] + 174*s[84] + 112*s[85]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - w]*(28*s[2] - (215*s[3])/6 + 
       (10009*s[4])/6 + (40675*s[5])/33 + (388007*s[6])/132 + 
       (66556697*s[7])/2376 - (1344283*s[8])/594 - (640162*s[9])/27 - 
       (811019*s[10])/108 - (12154463*s[11])/396 - (26485357*s[12])/792 - 
       (47761555*s[13])/2376 - (2762161*s[14])/792 - (8082959*s[15])/216 - 
       (14018438*s[16])/297 - (43327621*s[17])/1188 - (803213*s[18])/162 - 
       (1403999*s[19])/324 - (49662797*s[20])/891 - (47784619*s[21])/2376 + 
       (105400861*s[22])/7128 + (74252987*s[23])/2376 + 
       (219489895*s[24])/7128 - (835759979*s[25])/21384 + 
       (457548767*s[26])/21384 - (7*s[30])/3 + (32*s[31])/3 - 6*s[32] + 
       s[33]/2 - (50*s[34])/3 + 12*s[35] - (857*s[36])/9 + (787*s[37])/9 + 
       (2911*s[38])/3 - (15419*s[39])/4 + (155363*s[40])/36 - 
       (41149*s[41])/12 + (200041*s[42])/36 + (1375477*s[43])/396 - 
       (357649*s[44])/99 + (1575337*s[45])/396 - (6136729*s[46])/198 + 
       (1459187*s[47])/1188 + (144728*s[48])/297 - (18711023*s[49])/1188 + 
       (4768163*s[50])/198 + (1144675*s[51])/297 + (3635605*s[52])/1188 - 
       (4954984*s[53])/297 + (54053*s[54])/198 - (2332317*s[55])/22 - 
       (3611495*s[56])/132 + (7482905*s[57])/297 - (169493021*s[58])/3564 + 
       (86490961*s[59])/1782 + (227950429*s[60])/891 - 
       (284288987*s[61])/21384 + 8*s[62] + 3*s[68] + 3*s[69] - 2*s[71] + 
       16*s[72] - (16*s[73])/3 - 18*s[74] + 18*s[75] + 5*s[76] + s[77]/3 + 
       (14*s[78])/3 + 384*s[79] - (817*s[80])/9 + 364*s[82] + s[83] + 
       174*s[84] + 112*s[85]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 
       1 - v]*((-101*s[2])/6 + (271*s[3])/6 + (20575*s[4])/12 + 
       (165131*s[5])/132 + (388601*s[6])/132 + (66267617*s[7])/2376 - 
       (2693879*s[8])/1188 - (2549485*s[9])/108 - (802571*s[10])/108 - 
       (3022322*s[11])/99 - (26335009*s[12])/792 - (47212105*s[13])/2376 - 
       (2782885*s[14])/792 - (8091377*s[15])/216 - (56010293*s[16])/1188 - 
       (43467211*s[17])/1188 - (1623979*s[18])/324 - (1403465*s[19])/324 - 
       (198186515*s[20])/3564 - (47687093*s[21])/2376 + 
       (104607409*s[22])/7128 + (75801347*s[23])/2376 + 
       (217886029*s[24])/7128 - (23089249*s[25])/594 + (2815925*s[26])/132 - 
       4*s[27] + (16*s[30])/3 - (47*s[31])/3 - (10*s[32])/3 - (93*s[33])/4 + 
       (22*s[34])/3 + 12*s[35] - (857*s[36])/9 + (787*s[37])/9 + 
       (2911*s[38])/3 - (15419*s[39])/4 + (155363*s[40])/36 - 
       (41149*s[41])/12 + (200041*s[42])/36 + (1375477*s[43])/396 - 
       (357649*s[44])/99 + (1575337*s[45])/396 - (6136729*s[46])/198 + 
       (1459187*s[47])/1188 + (144728*s[48])/297 - (18711023*s[49])/1188 + 
       (4768163*s[50])/198 + (1144675*s[51])/297 + (3635605*s[52])/1188 - 
       (4954984*s[53])/297 + (54053*s[54])/198 - (2332317*s[55])/22 - 
       (3611495*s[56])/132 + (7482905*s[57])/297 - (169493021*s[58])/3564 + 
       (86490961*s[59])/1782 + (227950429*s[60])/891 - 
       (284288987*s[61])/21384 + 8*s[62] + 3*s[68] + 3*s[69] - 2*s[71] + 
       16*s[72] - (16*s[73])/3 - 18*s[74] + 18*s[75] + 5*s[76] + s[77]/3 + 
       (14*s[78])/3 + 384*s[79] - (817*s[80])/9 + 364*s[82] + s[83] + 
       174*s[84] + 112*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*((34*s[2])/3 + (569*s[3])/12 + 
       (14345*s[4])/24 + (20679*s[5])/44 + (211821*s[6])/176 + 
       (2884753*s[7])/264 - (11552753*s[8])/14256 - (11979577*s[9])/1296 - 
       (2065621*s[10])/648 - (113796101*s[11])/9504 - 
       (122694739*s[12])/9504 - (36580129*s[13])/4752 - 
       (4179053*s[14])/2376 - (796759*s[15])/54 - (5562088*s[16])/297 - 
       (140503091*s[17])/9504 - (7517519*s[18])/3888 - (7170289*s[19])/3888 - 
       (951437539*s[20])/42768 - (344953969*s[21])/42768 + 
       (245867459*s[22])/42768 + (103796677*s[23])/9504 + 
       (1061459305*s[24])/85536 - (11591419985*s[25])/769824 + 
       (6445400039*s[26])/769824 - s[30]/3 + s[32]/3 + (11*s[33])/12 + 
       3*s[34] - 2*s[35] - (173*s[36])/9 - (143*s[37])/9 + (2071*s[38])/6 - 
       (3968*s[39])/3 + (13580*s[40])/9 - (14747*s[41])/12 + 
       (66421*s[42])/36 + (135868*s[43])/99 - (275513*s[44])/198 + 
       (74887*s[45])/44 - (4890901*s[46])/396 + (947399*s[47])/4752 + 
       (3414611*s[48])/4752 - (29997281*s[49])/4752 + (7715633*s[50])/792 + 
       (6175507*s[51])/4752 + (1129951*s[52])/1188 - (7928069*s[53])/1188 - 
       (42040*s[54])/99 - (7550849*s[55])/176 - (51592247*s[56])/4752 + 
       (11675563*s[57])/1782 - (769459165*s[58])/42768 + 
       (785895703*s[59])/42768 + (2987776859*s[60])/28512 - 
       (132667858*s[61])/24057 - 3*s[68] + 3*s[69] + 8*s[70] - 3*s[71] + 
       4*s[72] - 3*s[74] + 3*s[75] - 2*s[76] - (31*s[77])/3 + s[78]/3 + 
       (290*s[79])/3 - (17*s[80])/3 + 430*s[82] + 48*s[84] + 116*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((145*s[2])/12 + (1481*s[3])/18 + (15611*s[4])/12 + (55436*s[5])/99 + 
       (168819*s[6])/88 + (55658293*s[7])/3168 - (64196071*s[8])/42768 - 
       (57158621*s[9])/3888 - (17461225*s[10])/3888 - 
       (558805003*s[11])/28512 - (19495480*s[12])/891 - 
       (382278247*s[13])/28512 - (33810103*s[14])/28512 - 
       (58307063*s[15])/2592 - (416709407*s[16])/14256 - 
       (609833845*s[17])/28512 - (36177139*s[18])/11664 - 
       (15845329*s[19])/5832 - (2175546937*s[20])/64152 - 
       (3040544101*s[21])/256608 + (2373336089*s[22])/256608 + 
       (155757995*s[23])/7128 + (613102849*s[24])/32076 - 
       (29367330287*s[25])/1154736 + (15467584505*s[26])/1154736 + 11*s[29] - 
       (19*s[30])/18 + (16*s[31])/3 + (203*s[32])/36 + (197*s[33])/36 - 
       (35*s[34])/18 + (65*s[35])/18 - (281*s[36])/12 + (959*s[37])/27 + 
       (23837*s[38])/36 - (117629*s[39])/48 + (134833*s[40])/48 - 
       (323633*s[41])/144 + (168091*s[42])/48 + (3511693*s[43])/1584 - 
       (307075*s[44])/132 + (5780191*s[45])/2376 - (90991919*s[46])/4752 + 
       (230795*s[47])/297 + (2430239*s[48])/4752 - (5933347*s[49])/594 + 
       (5867267*s[50])/396 + (12152297*s[51])/4752 + (9671131*s[52])/4752 - 
       (140539261*s[53])/14256 + (6154*s[54])/297 - (300028607*s[55])/4752 - 
       (29872615*s[56])/1782 + (796086911*s[57])/42768 - 
       (3879830245*s[58])/128304 + (3873579691*s[59])/128304 + 
       (377278967*s[60])/2376 - (9405703819*s[61])/1154736 + (7*s[62])/2 + 
       2*s[66] - s[67] - (5*s[68])/3 - (7*s[69])/3 + (107*s[70])/3 - 
       (61*s[71])/12 + (11*s[72])/3 - 5*s[73] - (325*s[74])/36 + 
       (307*s[75])/36 - (23*s[76])/3 - (631*s[77])/18 - (220*s[78])/9 + 
       (2777*s[79])/9 - (1739*s[80])/27 - s[81]/6 + (431*s[82])/3 - 
       (39*s[83])/4 + (217*s[84])/2 + (352*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - u]*
      ((397*s[2])/24 + (2731*s[3])/48 + (13623*s[4])/32 + (79089*s[5])/176 + 
       (1144805*s[6])/1056 + (57275159*s[7])/6336 - (19113563*s[8])/28512 - 
       (4900507*s[9])/648 - (442157*s[10])/162 - (186491135*s[11])/19008 - 
       (12412189*s[12])/1188 - (116788037*s[13])/19008 - 
       (36859931*s[14])/19008 - (21638899*s[15])/1728 - 
       (75186677*s[16])/4752 - (246356249*s[17])/19008 - 
       (3061973*s[18])/1944 - (12493231*s[19])/7776 - 
       (1603248211*s[20])/85536 - (1169886209*s[21])/171072 + 
       (803779561*s[22])/171072 + (38921749*s[23])/4752 + 
       (225684119*s[24])/21384 - (9414675067*s[25])/769824 + 
       (5314677151*s[26])/769824 + (11*s[30])/12 + (7*s[31])/3 + 
       (2*s[32])/3 + (121*s[33])/24 + (161*s[34])/12 + (169*s[35])/12 - 
       (133*s[36])/36 - (943*s[37])/24 + (2761*s[38])/12 - (5825*s[39])/6 + 
       (40675*s[40])/36 - (7395*s[41])/8 + (24109*s[42])/18 + 
       (233527*s[43])/198 - (3714973*s[44])/3168 + (891133*s[45])/528 - 
       (18235685*s[46])/1584 - (281857*s[47])/9504 + (9387407*s[48])/9504 - 
       (51996845*s[49])/9504 + (904703*s[50])/99 + (8033383*s[51])/9504 + 
       (5637901*s[52])/9504 - (15314243*s[53])/2376 - (76931*s[54])/396 - 
       (133380437*s[55])/3168 - (101689307*s[56])/9504 + 
       (11848699*s[57])/14256 - (1317206887*s[58])/85536 + 
       (1362505993*s[59])/85536 + (5663032637*s[60])/57024 - 
       (4245956719*s[61])/769824 - 6*s[68] + 6*s[69] + (25*s[70])/3 + 
       (25*s[72])/6 - s[73]/6 + (15*s[74])/8 - (15*s[75])/8 - (23*s[76])/6 - 
       (149*s[77])/12 + s[78]/6 + (112*s[79])/3 - (215*s[80])/12 + 
       708*s[82] - 3*s[83] + 19*s[84] + 118*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((959*s[2])/36 - (467*s[3])/18 - (20903*s[4])/144 + (515*s[5])/18 + 
       (14963*s[6])/144 + (850865*s[7])/864 + (20369*s[8])/324 - 
       (311497*s[9])/324 - (1043387*s[10])/1296 - (909409*s[11])/864 - 
       (358261*s[12])/432 - (337817*s[13])/864 - (771487*s[14])/864 - 
       (1477499*s[15])/864 - (962353*s[16])/432 - (222257*s[17])/96 - 
       (723611*s[18])/3888 - (1035247*s[19])/3888 - (6182581*s[20])/1944 - 
       (12305197*s[21])/7776 + (4587899*s[22])/7776 - (41341*s[23])/27 + 
       (5946673*s[24])/3888 - (50087239*s[25])/69984 + 
       (67091821*s[26])/69984 + (73*s[30])/36 + (199*s[31])/18 - 
       (41*s[32])/9 + (4093*s[33])/144 - (521*s[34])/36 - (134*s[35])/9 + 
       (32*s[36])/3 - (2671*s[37])/36 - (95*s[38])/3 + (4777*s[39])/36 - 
       (5197*s[40])/36 + (2669*s[41])/36 - (2651*s[42])/12 - 
       (13727*s[43])/396 + (66779*s[44])/1584 - (122191*s[45])/792 + 
       (704875*s[46])/792 - (650371*s[47])/4752 + (607985*s[48])/4752 - 
       (934583*s[49])/4752 - (68155*s[50])/198 - (882635*s[51])/4752 - 
       (1250903*s[52])/4752 + (46479*s[53])/88 - (189455*s[54])/132 + 
       (13205003*s[55])/4752 + (7206479*s[56])/4752 - (5485573*s[57])/7128 + 
       (60626881*s[58])/42768 - (47987029*s[59])/42768 - 
       (110143141*s[60])/28512 + (115491917*s[61])/192456 - (19*s[66])/3 + 
       (19*s[67])/3 + (19*s[68])/3 + (19*s[69])/3 + (10*s[70])/3 - s[71]/2 + 
       (82*s[72])/9 - 4*s[73] + (17*s[74])/9 + (19*s[75])/9 - (25*s[76])/9 - 
       8*s[77] + (254*s[78])/9 - (44*s[79])/3 + (547*s[80])/18 + 664*s[82] - 
       (85*s[83])/12 - (299*s[84])/6 + (356*s[85])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      (10*s[2] + 39*s[3] + 54*s[4] + (10719*s[5])/44 + (19351*s[6])/44 + 
       (2163923*s[7])/528 - (47623*s[8])/264 - (83795*s[9])/24 - 
       (39337*s[10])/24 - (751657*s[11])/176 - (46279*s[12])/11 - 
       (1220551*s[13])/528 - (282999*s[14])/176 - (297233*s[15])/48 - 
       (1979717*s[16])/264 - (3638273*s[17])/528 - (2090*s[18])/3 - 
       (7335*s[19])/8 - (2491649*s[20])/264 - (5592755*s[21])/1584 + 
       (3363875*s[22])/1584 + (356995*s[23])/264 + (516455*s[24])/99 - 
       (8829253*s[25])/1782 + (10973945*s[26])/3564 + 3*s[32] + 7*s[33] + 
       8*s[34] + 4*s[35] + (19*s[36])/3 - (263*s[37])/6 + 30*s[38] - 
       98*s[39] + (458*s[40])/3 - 155*s[41] + (214*s[42])/3 + 
       (23585*s[43])/66 - (86165*s[44])/264 + (51187*s[45])/66 - 
       (47525*s[46])/11 - (198095*s[47])/792 + (539917*s[48])/792 - 
       (1431079*s[49])/792 + (242651*s[50])/66 + (33137*s[51])/792 - 
       (45391*s[52])/792 - (344209*s[53])/132 - (12003*s[54])/22 - 
       (1565497*s[55])/88 - (3187157*s[56])/792 - (6161105*s[57])/1188 - 
       (30686605*s[58])/7128 + (33177175*s[59])/7128 + 
       (193082221*s[60])/4752 - (145823707*s[61])/64152 + 12*s[70] + 
       2*s[74] - 2*s[75] - 12*s[77] - 8*s[79] + (4*s[80])/3 + 675*s[82] + 
       120*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w]*(-6*s[2] - (495*s[3])/8 + (10797*s[4])/16 + 
       (5559*s[5])/176 + (62373*s[6])/88 + (20634721*s[7])/3168 - 
       (1739567*s[8])/2376 - (2322245*s[9])/432 - (556639*s[10])/432 - 
       (23773471*s[11])/3168 - (14033851*s[12])/1584 - (5965633*s[13])/1056 + 
       (1694699*s[14])/3168 - (705887*s[15])/96 - (5426431*s[16])/528 - 
       (19826663*s[17])/3168 - (1435861*s[18])/1296 - (1007525*s[19])/1296 - 
       (161751437*s[20])/14256 - (100678129*s[21])/28512 + 
       (99570719*s[22])/28512 + (5577601*s[23])/528 + 
       (93408217*s[24])/14256 - (2632989307*s[25])/256608 + 
       (1244560027*s[26])/256608 - (3*s[28])/4 - 3*s[29] - 2*s[30] - 
       s[31]/2 - (15*s[32])/2 + (45*s[33])/4 - 10*s[34] - 6*s[35] - 
       (317*s[36])/6 - (49*s[37])/6 + (1291*s[38])/4 - (2971*s[39])/2 + 
       (10619*s[40])/6 - (11689*s[41])/8 + (52753*s[42])/24 + 
       (3880*s[43])/3 - (9803*s[44])/6 + (32317*s[45])/24 - (94671*s[46])/8 + 
       (23821*s[47])/72 + (34543*s[48])/72 - (460657*s[49])/72 + 
       (225131*s[50])/24 + (55687*s[51])/36 + (43669*s[52])/36 - 
       (48899*s[53])/8 - (515*s[54])/8 - (932747*s[55])/24 - 
       (746135*s[56])/72 + (303544*s[57])/27 - (11930701*s[58])/648 + 
       (11890939*s[59])/648 + (5341703*s[60])/54 - (58556651*s[61])/11664 - 
       2*s[64] - (9*s[65])/4 - 8*s[66] + 12*s[67] - 3*s[68] + 23*s[69] + 
       (3*s[70])/2 + (9*s[71])/4 + 6*s[72] - 26*s[73] - (33*s[74])/2 + 
       (9*s[75])/2 + (15*s[76])/2 - (35*s[77])/2 + 9*s[78] + 278*s[79] - 
       (298*s[80])/3 + 321*s[82] - (33*s[83])/2 + 99*s[84] + 120*s[85]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*(17*s[2] + 121*s[3] + 
       (11905*s[4])/4 + (83033*s[5])/44 + (52410*s[6])/11 + 
       (11748029*s[7])/264 - (1528049*s[8])/396 - (1350811*s[9])/36 - 
       (98849*s[10])/9 - (13045595*s[11])/264 - (7261091*s[12])/132 - 
       (2925729*s[13])/88 - (1031297*s[14])/264 - (1383599*s[15])/24 - 
       (1630555*s[16])/22 - (14494189*s[17])/264 - (221534*s[18])/27 - 
       (695629*s[19])/108 - (25808248*s[20])/297 - (73818953*s[21])/2376 + 
       (55705537*s[22])/2376 + (609296*s[23])/11 + (56941901*s[24])/1188 - 
       (680760973*s[25])/10692 + (182932745*s[26])/5346 + 3*s[30] + 6*s[31] + 
       12*s[32] - (35*s[33])/4 - 11*s[34] - 14*s[35] - 80*s[36] + 181*s[37] + 
       1776*s[38] - (13953*s[39])/2 + (15529*s[40])/2 - (11961*s[41])/2 + 
       (20079*s[42])/2 + (126647*s[43])/22 - (273629*s[44])/44 + 
       (134205*s[45])/22 - (547706*s[46])/11 + (365417*s[47])/132 + 
       (14759*s[48])/132 - (3470315*s[49])/132 + (416959*s[50])/11 + 
       (921623*s[51])/132 + (762631*s[52])/132 - (566813*s[53])/22 + 
       (13408*s[54])/11 - (21491419*s[55])/132 - (5703193*s[56])/132 + 
       (5630917*s[57])/99 - (96113267*s[58])/1188 + (96195689*s[59])/1188 + 
       (319867607*s[60])/792 - (223054043*s[61])/10692 + 8*s[70] + 12*s[72] + 
       36*s[73] - 25*s[74] + 25*s[75] - 12*s[76] - 10*s[77] + 12*s[78] + 
       660*s[79] - 202*s[80] + 516*s[82] - 33*s[83] + 186*s[84] + 
       120*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]*((160*s[2])/9 + (3425*s[3])/48 + (123265*s[4])/96 + 
       (1600391*s[5])/1584 + (325585*s[6])/132 + (422685257*s[7])/19008 - 
       (6256577*s[8])/3564 - (48683411*s[9])/2592 - (7834397*s[10])/1296 - 
       (115711033*s[11])/4752 - (503294699*s[12])/19008 - 
       (299957753*s[13])/19008 - (62034367*s[14])/19008 - 
       (17114885*s[15])/576 - (358384801*s[16])/9504 - 
       (31048067*s[17])/1056 - (16133651*s[18])/3888 - 
       (25749329*s[19])/7776 - (3828307529*s[20])/85536 - 
       (2780894923*s[21])/171072 + (1999150847*s[22])/171072 + 
       (473404147*s[23])/19008 + (4175907509*s[24])/171072 - 
       (47430002065*s[25])/1539648 + (26273443243*s[26])/1539648 + 
       (3*s[30])/2 + (13*s[31])/3 - (61*s[32])/24 - (109*s[33])/72 + 
       (14*s[34])/9 + (199*s[35])/36 - (7921*s[36])/216 + (22751*s[37])/432 + 
       (4109*s[38])/6 - (811387*s[39])/288 + (2761693*s[40])/864 - 
       (723619*s[41])/288 + (3518321*s[42])/864 + (23919227*s[43])/9504 - 
       (51640657*s[44])/19008 + (29011771*s[45])/9504 - 
       (37039595*s[46])/1584 + (49745777*s[47])/57024 + 
       (30649403*s[48])/57024 - (660969101*s[49])/57024 + 
       (86091271*s[50])/4752 + (162134197*s[51])/57024 + 
       (126526747*s[52])/57024 - (19837141*s[53])/1584 + 
       (503017*s[54])/1584 - (56148703*s[55])/704 - (1200389119*s[56])/
        57024 + (102226541*s[57])/5346 - (18458739611*s[58])/513216 + 
       (18646882703*s[59])/513216 + (65905463681*s[60])/342144 - 
       (23947984069*s[61])/2309472 - s[70]/6 - (5*s[71])/4 + (21*s[72])/2 - 
       (11*s[73])/6 - (815*s[74])/72 + (815*s[75])/72 - 8*s[76] - 
       (25*s[77])/12 + (15*s[78])/2 + (2632*s[79])/9 - (17611*s[80])/216 + 
       (6559*s[82])/12 + s[83]/4 + (231*s[84])/2 + (367*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Omega2[v, w, u]*
      (14*s[2] + (589*s[3])/12 + (7511*s[4])/8 + (46543*s[5])/66 + 
       (156765*s[6])/88 + (8407391*s[7])/528 - (8976449*s[8])/7128 - 
       (2177953*s[9])/162 - (697169*s[10])/162 - (83025803*s[11])/4752 - 
       (22611541*s[12])/1188 - (54094025*s[13])/4752 - 
       (10556171*s[14])/4752 - (9171205*s[15])/432 - (64062025*s[16])/2376 - 
       (99304181*s[17])/4752 - (2882011*s[18])/972 - (4602949*s[19])/1944 - 
       (682888285*s[20])/21384 - (496355765*s[21])/42768 + 
       (357880249*s[22])/42768 + (42694661*s[23])/2376 + 
       (373399325*s[24])/21384 - (2130503393*s[25])/96228 + 
       (294682514*s[26])/24057 + (4*s[30])/3 + 4*s[31] - (4*s[32])/3 + 
       (2*s[33])/3 - (4*s[34])/3 - (5*s[35])/3 - (101*s[36])/3 + 
       (391*s[37])/18 + (3221*s[38])/6 - (25837*s[39])/12 + (9759*s[40])/4 - 
       (23243*s[41])/12 + (12315*s[42])/4 + (89115*s[43])/44 - 
       (277921*s[44])/132 + (972203*s[45])/396 - (3658777*s[46])/198 + 
       (226843*s[47])/396 + (59953*s[48])/99 - (1824401*s[49])/198 + 
       (472522*s[50])/33 + (841603*s[51])/396 + (165923*s[52])/99 - 
       (11792377*s[53])/1188 + (10627*s[54])/99 - (25106813*s[55])/396 - 
       (4931132*s[56])/297 + (47992679*s[57])/3564 - (299173075*s[58])/
        10692 + (151854551*s[59])/5346 + (363820925*s[60])/2376 - 
       (1580573681*s[61])/192456 - 2*s[68] + 2*s[69] + 2*s[70] - 2*s[71] + 
       8*s[72] - (47*s[74])/6 + (47*s[75])/6 - 8*s[76] - (14*s[77])/3 + 
       (14*s[78])/3 + (572*s[79])/3 - (377*s[80])/9 + 437*s[82] + 96*s[84] + 
       124*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      ((77*s[2])/12 + 137*s[3] + (30203*s[4])/16 + (59657*s[5])/48 + 
       (154603*s[6])/48 + (4235035*s[7])/144 - (3164495*s[8])/1296 - 
       (32062721*s[9])/1296 - (9956677*s[10])/1296 - (27932783*s[11])/864 - 
       (30660817*s[12])/864 - (4591343*s[13])/216 - (1513153*s[14])/432 - 
       (16867021*s[15])/432 - (21426319*s[16])/432 - (32804081*s[17])/864 - 
       (5231737*s[18])/972 - (4287359*s[19])/972 - (113587505*s[20])/1944 - 
       (81258313*s[21])/3888 + (29981335*s[22])/1944 + (29876857*s[23])/864 + 
       (249546577*s[24])/7776 - (2894330027*s[25])/69984 + 
       (1576571069*s[26])/69984 + (3*s[30])/4 + (7*s[31])/6 - 
       (119*s[32])/12 - (445*s[33])/48 - (5*s[34])/4 - (263*s[35])/12 - 
       (1451*s[36])/24 + (2339*s[37])/24 + (23711*s[38])/24 - 
       (378935*s[39])/96 + (143057*s[40])/32 - (336361*s[41])/96 + 
       (544649*s[42])/96 + (1244371*s[43])/352 - (7927963*s[44])/2112 + 
       (93455*s[45])/22 - (34181623*s[46])/1056 + (2672695*s[47])/2112 + 
       (482087*s[48])/704 - (33840013*s[49])/2112 + (821933*s[50])/33 + 
       (25116787*s[51])/6336 + (2232369*s[52])/704 - (1138717*s[53])/66 + 
       (87745*s[54])/132 - (697516511*s[55])/6336 - (61741327*s[56])/2112 + 
       (43293607*s[57])/1584 - (953139113*s[58])/19008 + 
       (961916795*s[59])/19008 + (1123550357*s[60])/4224 - 
       (2442204113*s[61])/171072 + (5*s[62])/12 + s[64]/4 + (7*s[65])/6 + 
       4*s[66] - (17*s[67])/3 - 5*s[68] - 9*s[69] + (59*s[70])/6 - 
       (25*s[71])/6 + (17*s[72])/2 - (37*s[73])/12 - (395*s[74])/24 + 
       (425*s[75])/24 - (31*s[76])/2 - (77*s[77])/4 - (19*s[78])/12 + 
       (1228*s[79])/3 - (199*s[80])/2 - s[81]/24 + (1003*s[82])/2 - 
       (7*s[83])/4 + 176*s[84] + 124*s[85]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*(25*s[2] - (127*s[3])/12 + 
       (13329*s[4])/8 + (287795*s[5])/264 + (1463171*s[6])/528 + 
       (31164673*s[7])/1188 - (10251853*s[8])/4752 - (9611069*s[9])/432 - 
       (1460705*s[10])/216 - (10177593*s[11])/352 - (100850311*s[12])/3168 - 
       (90932555*s[13])/4752 - (94729*s[14])/33 - (7436053*s[15])/216 - 
       (104286373*s[16])/2376 - (315016613*s[17])/9504 - 
       (2078275*s[18])/432 - (539807*s[19])/144 - (246410477*s[20])/4752 - 
       (264505201*s[21])/14256 + (197997889*s[22])/14256 + 
       (297235475*s[23])/9504 + (806795525*s[24])/28512 - 
       (9486427193*s[25])/256608 + (5138789255*s[26])/256608 - s[29] + 
       (19*s[30])/6 + (47*s[31])/3 - 4*s[32] + 13*s[33] - (175*s[34])/6 - 
       (57*s[35])/2 - (2009*s[36])/36 + (6785*s[37])/72 + (32777*s[38])/36 - 
       (534835*s[39])/144 + (201677*s[40])/48 - (159917*s[41])/48 + 
       (258757*s[42])/48 + (5095757*s[43])/1584 - (11037209*s[44])/3168 + 
       (1893817*s[45])/528 - (5718841*s[46])/198 + (11909461*s[47])/9504 + 
       (3939631*s[48])/9504 - (139999759*s[49])/9504 + (17713879*s[50])/792 + 
       (35971519*s[51])/9504 + (28494311*s[52])/9504 - 
       (36350609*s[53])/2376 + (53797*s[54])/99 - (34103649*s[55])/352 - 
       (81112379*s[56])/3168 + (21539059*s[57])/792 - 
       (1290206435*s[58])/28512 + (1301011343*s[59])/28512 + 
       (13509541195*s[60])/57024 - (396369725*s[61])/32076 - s[64]/2 + 
       (3*s[66])/2 - s[68]/2 - (3*s[69])/2 + 5*s[70] - 2*s[71] + 12*s[72] - 
       (19*s[73])/3 - (79*s[74])/4 + 19*s[75] - 13*s[76] - (43*s[77])/6 - 
       s[78]/3 + 454*s[79] - (4279*s[80])/36 + 346*s[82] + (7*s[83])/4 + 
       (369*s[84])/2 + 124*s[85]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((35*s[2])/3 + (247*s[3])/24 + (78367*s[4])/48 + 
       (545731*s[5])/528 + (2178215*s[6])/792 + (243278033*s[7])/9504 - 
       (5081093*s[8])/2376 - (9331907*s[9])/432 - (2923537*s[10])/432 - 
       (89196067*s[11])/3168 - (6120065*s[12])/198 - (176628535*s[13])/9504 - 
       (1052587*s[14])/352 - (9746603*s[15])/288 - (205056245*s[16])/4752 - 
       (313257629*s[17])/9504 - (1953977*s[18])/432 - (1703591*s[19])/432 - 
       (240822457*s[20])/4752 - (513847475*s[21])/28512 + 
       (384967049*s[22])/28512 + (8751682*s[23])/297 + 
       (100193431*s[24])/3564 - (9247953701*s[25])/256608 + 
       (4995573653*s[26])/256608 + (29*s[30])/6 - (2*s[31])/3 - 
       (10*s[32])/3 - (63*s[33])/8 + (19*s[34])/3 - (57*s[35])/2 - 
       (2009*s[36])/36 + (2315*s[37])/24 + (32767*s[38])/36 - 
       (532835*s[39])/144 + (603031*s[40])/144 - (53079*s[41])/16 + 
       (772751*s[42])/144 + (1694639*s[43])/528 - (11023169*s[44])/3168 + 
       (5664011*s[45])/1584 - (5698861*s[46])/198 + (11809771*s[47])/9504 + 
       (4097341*s[48])/9504 - (139820149*s[49])/9504 + (2943199*s[50])/132 + 
       (11935283*s[51])/3168 + (28318871*s[52])/9504 - 
       (36220169*s[53])/2376 + (50152*s[54])/99 - (101958817*s[55])/1056 - 
       (26904923*s[56])/1056 + (64155307*s[57])/2376 - 
       (1284681565*s[58])/28512 + (1295716333*s[59])/28512 + 
       (13474565965*s[60])/57024 - (262973005*s[61])/21384 - s[64]/2 + 
       (3*s[66])/2 - s[68]/2 - (3*s[69])/2 + 5*s[70] - 2*s[71] + 12*s[72] - 
       (19*s[73])/3 - (79*s[74])/4 + 19*s[75] - 13*s[76] - (43*s[77])/6 - 
       s[78]/3 + 454*s[79] - (4279*s[80])/36 + 356*s[82] + (7*s[83])/4 + 
       (369*s[84])/2 + 124*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*((179*s[2])/9 + (165*s[3])/4 + 
       (14339*s[4])/12 + (934633*s[5])/1056 + (3451703*s[6])/1584 + 
       (573228479*s[7])/28512 - (69914555*s[8])/42768 - (8251655*s[9])/486 - 
       (42077953*s[10])/7776 - (1258408207*s[11])/57024 - 
       (1374387005*s[12])/57024 - (45523823*s[13])/3168 - 
       (19029389*s[14])/7128 - (5787025*s[15])/216 - (80865695*s[16])/2376 - 
       (1498266113*s[17])/57024 - (86440801*s[18])/23328 - 
       (17638607*s[19])/5832 - (10329599651*s[20])/256608 - 
       (3722566757*s[21])/256608 + (2716395277*s[22])/256608 + 
       (145297721*s[23])/6336 + (11319208895*s[24])/513216 - 
       (32376490339*s[25])/1154736 + (2219830799*s[26])/144342 + 
       (19*s[30])/36 + (37*s[31])/6 - (23*s[32])/8 + (9*s[33])/16 - 
       (73*s[34])/36 + (203*s[35])/36 - (7889*s[36])/216 + 
       (22291*s[37])/432 + (4115*s[38])/6 - (812099*s[39])/288 + 
       (2765141*s[40])/864 - (724691*s[41])/288 + (3519529*s[42])/864 + 
       (24010123*s[43])/9504 - (51805781*s[44])/19008 + 
       (29203403*s[45])/9504 - (37217227*s[46])/1584 + 
       (49361641*s[47])/57024 + (31767427*s[48])/57024 - 
       (663672457*s[49])/57024 + (86539733*s[50])/4752 + 
       (162177209*s[51])/57024 + (126455663*s[52])/57024 - 
       (19942039*s[53])/1584 + (481223*s[54])/1584 - (169405237*s[55])/2112 - 
       (1206475307*s[56])/57024 + (50770430*s[57])/2673 - 
       (18517088479*s[58])/513216 + (18708370555*s[59])/513216 + 
       (66266602429*s[60])/342144 - (24086264219*s[61])/2309472 + s[70]/6 - 
       (5*s[71])/4 + (21*s[72])/2 - (11*s[73])/6 - (811*s[74])/72 + 
       (811*s[75])/72 - 8*s[76] - (29*s[77])/12 + (15*s[78])/2 + 
       (2630*s[79])/9 - (17603*s[80])/216 + (6773*s[82])/12 + s[83]/4 + 
       (231*s[84])/2 + (377*s[85])/3) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*((49*s[2])/2 + (299*s[3])/12 + (18851*s[4])/12 + 
       (109295*s[5])/99 + (1111445*s[6])/396 + (2539796*s[7])/99 - 
       (839353*s[8])/396 - (780667*s[9])/36 - (20228*s[10])/3 - 
       (7439017*s[11])/264 - (24448277*s[12])/792 - (1630921*s[13])/88 - 
       (2534947*s[14])/792 - (7336117*s[15])/216 - (17090891*s[16])/396 - 
       (26157235*s[17])/792 - (42857*s[18])/9 - (65873*s[19])/18 - 
       (6736949*s[20])/132 - (203312*s[21])/11 + (4015700*s[22])/297 + 
       (23693911*s[23])/792 + (66036997*s[24])/2376 - 
       (383353127*s[25])/10692 + (421224433*s[26])/21384 - s[29] + 
       (8*s[30])/3 + (26*s[31])/3 - (9*s[32])/4 - (13*s[33])/8 - 
       (41*s[34])/3 - 32*s[35] - (578*s[36])/9 + (718*s[37])/9 + 
       (2647*s[38])/3 - (7165*s[39])/2 + (72529*s[40])/18 - 
       (38191*s[41])/12 + (186019*s[42])/36 + (9586*s[43])/3 - 
       (486175*s[44])/144 + (133585*s[45])/36 - (1041703*s[46])/36 + 
       (55529*s[47])/48 + (80575*s[48])/144 - (2088073*s[49])/144 + 
       (267535*s[50])/12 + (1542265*s[51])/432 + (45845*s[52])/16 - 
       (61651*s[53])/4 + (4645*s[54])/9 - (14120771*s[55])/144 - 
       (3747767*s[56])/144 + (5408183*s[57])/216 - (58192703*s[58])/1296 + 
       (58840829*s[59])/1296 + (205167439*s[60])/864 - 
       (147203657*s[61])/11664 + 5*s[70] - 2*s[71] + 14*s[72] + (2*s[73])/3 - 
       17*s[74] + 17*s[75] - 13*s[76] - (20*s[77])/3 + (26*s[78])/3 + 
       368*s[79] - (778*s[80])/9 + (1264*s[82])/3 - (5*s[83])/4 + 
       (321*s[84])/2 + 126*s[85]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((115*s[2])/6 + (407*s[3])/12 + (4720*s[4])/3 + 
       (78299*s[5])/66 + (386257*s[6])/132 + (63107675*s[7])/2376 - 
       (628204*s[8])/297 - (2428169*s[9])/108 - (766891*s[10])/108 - 
       (2562575*s[11])/88 - (25124501*s[12])/792 - (11308657*s[13])/594 - 
       (959867*s[14])/264 - (1910651*s[15])/54 - (106624603*s[16])/2376 - 
       (82713449*s[17])/2376 - (173515*s[18])/36 - (107896*s[19])/27 - 
       (42045287*s[20])/792 - (137020217*s[21])/7128 + 
       (24923297*s[22])/1782 + (17682893*s[23])/594 + 
       (103704493*s[24])/3564 - (2371429847*s[25])/64152 + 
       (1305143381*s[26])/64152 + s[29] + (13*s[30])/3 + (16*s[31])/3 - 
       (19*s[32])/12 - (27*s[33])/8 - (26*s[34])/3 - 32*s[35] - 
       (578*s[36])/9 + (226*s[37])/3 + (2647*s[38])/3 - (7165*s[39])/2 + 
       (72529*s[40])/18 - (38191*s[41])/12 + (186019*s[42])/36 + 
       (631571*s[43])/198 - (5356375*s[44])/1584 + (1473025*s[45])/396 - 
       (11474933*s[46])/396 + (5478521*s[47])/4752 + (2549045*s[48])/4752 - 
       (68935439*s[49])/4752 + (8855035*s[50])/396 + (17009965*s[51])/4752 + 
       (13572895*s[52])/4752 - (4592998*s[53])/297 + (46435*s[54])/99 - 
       (155766091*s[55])/1584 - (41190107*s[56])/1584 + 
       (59162963*s[57])/2376 - (213367801*s[58])/4752 + 
       (71972201*s[59])/1584 + (6783753737*s[60])/28512 - 
       (1621165057*s[61])/128304 + 5*s[70] - 2*s[71] + 14*s[72] + 
       (2*s[73])/3 - 17*s[74] + 17*s[75] - 13*s[76] - (20*s[77])/3 + 
       (26*s[78])/3 + 368*s[79] - (778*s[80])/9 + 428*s[82] - (5*s[83])/4 + 
       (321*s[84])/2 + 126*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*Omega2[w, u, v]*((53*s[2])/3 + (85*s[3])/2 + 913*s[4] + 
       (24493*s[5])/33 + (80171*s[6])/44 + (178703*s[7])/11 - 
       (1481309*s[8])/1188 - (1484509*s[9])/108 - (242089*s[10])/54 - 
       (14109599*s[11])/792 - (15315373*s[12])/792 - (4581835*s[13])/396 - 
       (243376*s[14])/99 - (129989*s[15])/6 - (5460281*s[16])/198 - 
       (17044109*s[17])/792 - (977765*s[18])/324 - (793747*s[19])/324 - 
       (116727925*s[20])/3564 - (21305507*s[21])/1782 + 
       (30460349*s[22])/3564 + (14008477*s[23])/792 + 
       (127807021*s[24])/7128 - (1441337729*s[25])/64152 + 
       (801469337*s[26])/64152 + 4*s[31] - s[32] - s[33]/3 - (5*s[34])/3 - 
       (4*s[35])/3 - (286*s[36])/9 + (178*s[37])/9 + 539*s[38] - 
       (6421*s[39])/3 + (21835*s[40])/9 - (11543*s[41])/6 + 
       (54895*s[42])/18 + (18205*s[43])/9 - (75925*s[44])/36 + 
       (44257*s[45])/18 - (110809*s[46])/6 + (59969*s[47])/108 + 
       (71405*s[48])/108 - (996695*s[49])/108 + (257735*s[50])/18 + 
       (227827*s[51])/108 + (179413*s[52])/108 - (19771*s[53])/2 + 
       (203*s[54])/6 - (252829*s[55])/4 - (1791613*s[56])/108 + 
       (1086397*s[57])/81 - (27180455*s[58])/972 + (27510197*s[59])/972 + 
       (99328883*s[60])/648 - (35972497*s[61])/4374 - 2*s[68] + 2*s[69] + 
       4*s[70] - 2*s[71] + 8*s[72] - (23*s[74])/3 + (23*s[75])/3 - 8*s[76] - 
       6*s[77] + 4*s[78] + (560*s[79])/3 - (364*s[80])/9 + 454*s[82] + 
       96*s[84] + 128*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v]*((851*s[2])/24 + (455*s[3])/48 + (183091*s[4])/96 + 
       (282969*s[5])/176 + (3973465*s[6])/1056 + (645022999*s[7])/19008 - 
       (75248677*s[8])/28512 - (37346281*s[9])/1296 - (11796059*s[10])/1296 - 
       (706296847*s[11])/19008 - (384027889*s[12])/9504 - 
       (153428105*s[13])/6336 - (96964405*s[14])/19008 - 
       (25986239*s[15])/576 - (15096673*s[16])/264 - (845211101*s[17])/
        19008 - (24943103*s[18])/3888 - (37207193*s[19])/7776 - 
       (5835336707*s[20])/85536 - (4283862763*s[21])/171072 + 
       (3061489487*s[22])/171072 + (120105791*s[23])/3168 + 
       (3158660353*s[24])/85536 - (36077610209*s[25])/769824 + 
       (20129027585*s[26])/769824 - s[28]/12 + (11*s[29])/2 - s[30]/6 + 
       (37*s[31])/3 - (9*s[32])/4 - (89*s[33])/48 - (59*s[34])/6 - 
       (311*s[35])/12 - (5641*s[36])/72 + (7973*s[37])/72 + 
       (28303*s[38])/24 - (450335*s[39])/96 + (1524337*s[40])/288 - 
       (132955*s[41])/32 + (1941971*s[42])/288 + (13244147*s[43])/3168 - 
       (28087789*s[44])/6336 + (970883*s[45])/198 - (119747341*s[46])/3168 + 
       (28756043*s[47])/19008 + (14436617*s[48])/19008 - 
       (360058217*s[49])/19008 + (11510467*s[50])/396 + 
       (89072917*s[51])/19008 + (71544727*s[52])/19008 - 
       (11946377*s[53])/594 + (148295*s[54])/198 - (811404995*s[55])/6336 - 
       (23901689*s[56])/704 + (156831347*s[57])/4752 - 
       (3352615727*s[58])/57024 + (3387683261*s[59])/57024 + 
       (35377155059*s[60])/114048 - (104749351*s[61])/6336 + (5*s[62])/12 + 
       s[64]/4 + (7*s[65])/6 + 2*s[66] - (11*s[67])/3 - 7*s[68] - 3*s[69] + 
       (47*s[70])/6 - (31*s[71])/6 + (25*s[72])/2 - (53*s[73])/12 - 
       (491*s[74])/24 + (521*s[75])/24 - (35*s[76])/2 - (239*s[77])/12 + 
       (61*s[78])/12 + (1402*s[79])/3 - (1901*s[80])/18 - s[81]/24 + 
       (907*s[82])/2 - (9*s[83])/4 + 203*s[84] + 132*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      (22*s[2] + (187*s[3])/3 + (16237*s[4])/12 + (44893*s[5])/44 + 
       (167089*s[6])/66 + (13542851*s[7])/594 - (544636*s[8])/297 - 
       (1040683*s[9])/54 - (655531*s[10])/108 - (3299699*s[11])/132 - 
       (5402231*s[12])/198 - (19390067*s[13])/1188 - (68089*s[14])/22 - 
       (815749*s[15])/27 - (45677633*s[16])/1188 - (17648753*s[17])/594 - 
       (467651*s[18])/108 - (350843*s[19])/108 - (13529665*s[20])/297 - 
       (14762392*s[21])/891 + (10674025*s[22])/891 + (7778695*s[23])/297 + 
       (88234075*s[24])/3564 - (508468817*s[25])/16038 + 
       (562092673*s[26])/32076 - s[30]/3 + 6*s[31] - (10*s[32])/3 - 
       (15*s[33])/4 - 3*s[34] - (2*s[35])/3 - (136*s[36])/3 + (392*s[37])/9 + 
       742*s[38] - (18421*s[39])/6 + (6943*s[40])/2 - (16373*s[41])/6 + 
       (26629*s[42])/6 + (179395*s[43])/66 - (189539*s[44])/66 + 
       (658489*s[45])/198 - (2499581*s[46])/99 + (102661*s[47])/99 + 
       (86621*s[48])/198 - (4877431*s[49])/396 + (641516*s[50])/33 + 
       (412625*s[51])/132 + (247475*s[52])/99 - (7986329*s[53])/594 + 
       (109313*s[54])/198 - (5641133*s[55])/66 - (27229397*s[56])/1188 + 
       (19615424*s[57])/891 - (420354427*s[58])/10692 + 
       (422099437*s[59])/10692 + (490465829*s[60])/2376 - 
       (542853455*s[61])/48114 - 2*s[71] + 12*s[72] - (37*s[74])/3 + 
       (37*s[75])/3 - 12*s[76] - (2*s[77])/3 + (20*s[78])/3 + (872*s[79])/3 - 
       (662*s[80])/9 + 378*s[82] + 144*s[84] + 136*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - w]*
      (17*s[2] + (389*s[3])/6 + 1389*s[4] + (131993*s[5])/132 + 
       (56343*s[6])/22 + (2002061*s[7])/88 - (1657180*s[8])/891 - 
       (6219515*s[9])/324 - (1935295*s[10])/324 - (29665271*s[11])/1188 - 
       (64865705*s[12])/2376 - (38887033*s[13])/2376 - (6941797*s[14])/2376 - 
       (6512537*s[15])/216 - (22763635*s[16])/594 - (35031419*s[17])/1188 - 
       (4174513*s[18])/972 - (785141*s[19])/243 - (483839687*s[20])/10692 - 
       (351216505*s[21])/21384 + (255494333*s[22])/21384 + 
       (63405593*s[23])/2376 + (526512461*s[24])/21384 - 
       (6115099147*s[25])/192456 + (3368495995*s[26])/192456 + (7*s[30])/3 + 
       6*s[31] - (10*s[32])/3 - s[33]/12 - (13*s[34])/3 - (2*s[35])/3 - 
       (143*s[36])/3 + (512*s[37])/9 + 758*s[38] - (37673*s[39])/12 + 
       (42493*s[40])/12 - (33461*s[41])/12 + (54545*s[42])/12 + 
       (368251*s[43])/132 - (773513*s[44])/264 + (662521*s[45])/198 - 
       (10151237*s[46])/396 + (823523*s[47])/792 + (341393*s[48])/792 - 
       (9963989*s[49])/792 + (1299379*s[50])/66 + (2527645*s[51])/792 + 
       (2017819*s[52])/792 - (16269529*s[53])/1188 + (66268*s[54])/99 - 
       (68889517*s[55])/792 - (55162429*s[56])/2376 + (39500611*s[57])/1782 - 
       (851224079*s[58])/21384 + (858667061*s[59])/21384 + 
       (994423159*s[60])/4752 - (2191157285*s[61])/192456 - 2*s[70] - 
       2*s[71] + 12*s[72] - (40*s[74])/3 + (40*s[75])/3 - 12*s[76] - 
       (2*s[77])/3 + (26*s[78])/3 + (884*s[79])/3 - (662*s[80])/9 + 
       422*s[82] + 144*s[84] + 136*s[85]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v]*(22*s[2] + (187*s[3])/3 + (5443*s[4])/4 + 
       (141623*s[5])/132 + (230305*s[6])/88 + (9265259*s[7])/396 - 
       (13288727*s[8])/7128 - (12818809*s[9])/648 - (2033185*s[10])/324 - 
       (121570211*s[11])/4752 - (132202573*s[12])/4752 - 
       (39430447*s[13])/2376 - (4006361*s[14])/1188 - (842566*s[15])/27 - 
       (23474449*s[16])/594 - (146245793*s[17])/4752 - (8619911*s[18])/1944 - 
       (6511561*s[19])/1944 - (1003844071*s[20])/21384 - 
       (366006211*s[21])/21384 + (262570019*s[22])/21384 + 
       (126298207*s[23])/4752 + (1088863675*s[24])/42768 - 
       (12463131491*s[25])/384912 + (6921206549*s[26])/384912 + s[30]/3 + 
       6*s[31] - (10*s[32])/3 - (37*s[33])/12 - (7*s[34])/3 - (2*s[35])/3 - 
       (143*s[36])/3 + (536*s[37])/9 + (2273*s[38])/3 - (12491*s[39])/4 + 
       (42293*s[40])/12 - (33257*s[41])/12 + (54193*s[42])/12 + 
       (367067*s[43])/132 - (772109*s[44])/264 + (659905*s[45])/198 - 
       (10103285*s[46])/396 + (406777*s[47])/396 + (89291*s[48])/198 - 
       (2486507*s[49])/198 + (862607*s[50])/44 + (418513*s[51])/132 + 
       (2000275*s[52])/792 - (16191265*s[53])/1188 + (61894*s[54])/99 - 
       (8571575*s[55])/99 - (13701145*s[56])/594 + (19542464*s[57])/891 - 
       (105781462*s[58])/2673 + (106737694*s[59])/2673 + 
       (247731409*s[60])/1188 - (2177403719*s[61])/192456 - 2*s[70] - 
       2*s[71] + 12*s[72] - (40*s[74])/3 + (40*s[75])/3 - 12*s[76] - 
       (2*s[77])/3 + (26*s[78])/3 + (884*s[79])/3 - (662*s[80])/9 + 
       434*s[82] + 144*s[84] + 136*s[85]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1, 1}, 1 - w]*(18*s[2] - 492*s[3] - (13419*s[4])/2 - 
       (173241*s[5])/44 - (425923*s[6])/44 - (4080999*s[7])/44 + 
       (3557497*s[8])/396 + (2790407*s[9])/36 + (800359*s[10])/36 + 
       (6701869*s[11])/66 + (14758945*s[12])/132 + (8870915*s[13])/132 + 
       (570245*s[14])/132 + (371263*s[15])/3 + (10192399*s[16])/66 + 
       (15529535*s[17])/132 + (1843459*s[18])/108 + (725281*s[19])/54 + 
       (104677849*s[20])/594 + (37431043*s[21])/594 - (57244699*s[22])/1188 - 
       (4191610*s[23])/33 - (28630894*s[24])/297 + (2835178495*s[25])/21384 - 
       (1508933671*s[26])/21384 - 48*s[30] - 48*s[31] + 12*s[32] - 
       (135*s[33])/2 + 150*s[34] + 150*s[35] + 363*s[36] - (1127*s[37])/2 - 
       3192*s[38] + (58563*s[39])/4 - (62511*s[40])/4 + (47991*s[41])/4 - 
       (86847*s[42])/4 - (480837*s[43])/44 + (1067907*s[44])/88 - 
       (528163*s[45])/44 + (1112968*s[46])/11 - (612399*s[47])/88 + 
       (373443*s[48])/88 + (4419997*s[49])/88 - (845237*s[50])/11 - 
       (1315133*s[51])/88 - (1076883*s[52])/88 + (1821428*s[53])/33 - 
       (70695*s[54])/11 + (29725133*s[55])/88 + (23659937*s[56])/264 - 
       (11603725*s[57])/99 + (389168977*s[58])/2376 - 
       (396859117*s[59])/2376 - (138916099*s[60])/176 + 
       (463544681*s[61])/10692 + 30*s[62] + 6*s[64] + 18*s[65] + 24*s[66] - 
       48*s[67] + 12*s[68] - 84*s[69] + 192*s[70] - 36*s[71] - 168*s[72] + 
       96*s[73] + 132*s[74] - 123*s[75] + 138*s[76] - 132*s[77] - 216*s[78] - 
       696*s[79] + 175*s[80] - s[81] + 2484*s[82] - 126*s[83] - 144*s[84] + 
       144*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 1 - v]*
      (-156*s[2] + (339*s[3])/2 - (21153*s[4])/4 - (99999*s[5])/22 - 
       (410085*s[6])/44 - (7735501*s[7])/88 + (1055345*s[8])/132 + 
       (448685*s[9])/6 + (126793*s[10])/6 + (8430233*s[11])/88 + 
       (1152596*s[12])/11 + (5450851*s[13])/88 + (900545*s[14])/88 + 
       (935835*s[15])/8 + (6456971*s[16])/44 + (9957183*s[17])/88 + 
       (158921*s[18])/9 + (366265*s[19])/36 + (68653525*s[20])/396 + 
       (50710991*s[21])/792 - (36629431*s[22])/792 - (4934473*s[23])/44 - 
       (35742317*s[24])/396 + (434428861*s[25])/3564 - 
       (241299409*s[26])/3564 - 6*s[28] + 84*s[29] - 42*s[30] - 36*s[31] + 
       48*s[32] - 189*s[33] + 222*s[34] + 150*s[35] + 363*s[36] - 
       (1127*s[37])/2 - 3192*s[38] + (58563*s[39])/4 - (62511*s[40])/4 + 
       (47991*s[41])/4 - (86847*s[42])/4 - (480837*s[43])/44 + 
       (1067907*s[44])/88 - (528163*s[45])/44 + (1112968*s[46])/11 - 
       (612399*s[47])/88 + (373443*s[48])/88 + (4419997*s[49])/88 - 
       (845237*s[50])/11 - (1315133*s[51])/88 - (1076883*s[52])/88 + 
       (1821428*s[53])/33 - (70695*s[54])/11 + (29725133*s[55])/88 + 
       (23659937*s[56])/264 - (11603725*s[57])/99 + (389168977*s[58])/2376 - 
       (396859117*s[59])/2376 - (138916099*s[60])/176 + 
       (463544681*s[61])/10692 + 30*s[62] + 6*s[64] + 18*s[65] + 24*s[66] - 
       48*s[67] + 12*s[68] - 84*s[69] + 192*s[70] - 36*s[71] - 168*s[72] + 
       96*s[73] + 132*s[74] - 123*s[75] + 138*s[76] - 132*s[77] - 216*s[78] - 
       696*s[79] + 175*s[80] - s[81] + 2484*s[82] - 126*s[83] - 144*s[84] + 
       144*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 
       1 - u]*(-6*s[2] + (55*s[3])/3 + (5173*s[4])/4 + (43853*s[5])/44 + 
       (101909*s[6])/44 + (8819609*s[7])/396 - (6272335*s[8])/3564 - 
       (6118637*s[9])/324 - (2004043*s[10])/324 - (57664135*s[11])/2376 - 
       (62388647*s[12])/2376 - (18498131*s[13])/1188 - (941000*s[14])/297 - 
       (3254353*s[15])/108 - (44941565*s[16])/1188 - (70770769*s[17])/2376 - 
       (984529*s[18])/243 - (3414239*s[19])/972 - (119891906*s[20])/2673 - 
       (173363561*s[21])/10692 + (125355463*s[22])/10692 + 
       (57336395*s[23])/2376 + (526524245*s[24])/21384 - 
       (5901203497*s[25])/192456 + (3259211737*s[26])/192456 + s[30]/3 + 
       6*s[31] - (35*s[32])/6 - (37*s[33])/12 - (7*s[34])/3 - (2*s[35])/3 - 
       (136*s[36])/3 + (116*s[37])/9 + (2132*s[38])/3 - (5735*s[39])/2 + 
       (19409*s[40])/6 - (15751*s[41])/6 + (24859*s[42])/6 + 
       (57595*s[43])/22 - (359147*s[44])/132 + (646357*s[45])/198 - 
       (2434814*s[46])/99 + (58651*s[47])/66 + (15526*s[48])/33 - 
       (132643*s[49])/11 + (1276115*s[50])/66 + (579809*s[51])/198 + 
       (99021*s[52])/44 - (3980230*s[53])/297 + (4669*s[54])/99 - 
       (8451566*s[55])/99 - (6501986*s[56])/297 + (30086029*s[57])/1782 - 
       (98611822*s[58])/2673 + (100598833*s[59])/2673 + 
       (242547881*s[60])/1188 - (1044619165*s[61])/96228 + 6*s[68] + 
       6*s[69] - 2*s[71] + 12*s[72] - (37*s[74])/3 + (37*s[75])/3 - 
       12*s[76] + (16*s[77])/3 + (20*s[78])/3 + (872*s[79])/3 - 
       (662*s[80])/9 + 516*s[82] + 144*s[84] + 144*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      (22*s[2] + (40*s[3])/3 + 1306*s[4] + (138059*s[5])/132 + 
       (53773*s[6])/22 + (18104917*s[7])/792 - (3197087*s[8])/1782 - 
       (6264377*s[9])/324 - (2050435*s[10])/324 - (29603663*s[11])/1188 - 
       (63915779*s[12])/2376 - (38243371*s[13])/2376 - (7693579*s[14])/2376 - 
       (6683273*s[15])/216 - (46110731*s[16])/1188 - (36377597*s[17])/1188 - 
       (3938689*s[18])/972 - (894245*s[19])/243 - (490445675*s[20])/10692 - 
       (355286227*s[21])/21384 + (256884713*s[22])/21384 + 
       (58033493*s[23])/2376 + (543157229*s[24])/21384 - 
       (6079804075*s[25])/192456 + (3356701075*s[26])/192456 - (14*s[30])/3 + 
       6*s[31] - (10*s[32])/3 - (37*s[33])/12 - (7*s[34])/3 + (70*s[35])/3 - 
       (217*s[36])/3 + (299*s[37])/9 + (2159*s[38])/3 - (11615*s[39])/4 + 
       (39253*s[40])/12 - (31457*s[41])/12 + (50243*s[42])/12 + 
       (118981*s[43])/44 - (726169*s[44])/264 + (1359395*s[45])/396 - 
       (2505593*s[46])/99 + (76677*s[47])/88 + (125377*s[48])/264 - 
       (3234701*s[49])/264 + (1304219*s[50])/66 + (2312243*s[51])/792 + 
       (608381*s[52])/264 - (4114300*s[53])/297 + (11587*s[54])/99 - 
       (70076263*s[55])/792 - (53941363*s[56])/2376 + (58160039*s[57])/3564 - 
       (807494987*s[58])/21384 + (826311287*s[59])/21384 + 
       (995942699*s[60])/4752 - (1084005493*s[61])/96228 + 8*s[62] + 
       3*s[68] + 3*s[69] - 2*s[71] + 12*s[72] - (37*s[74])/3 + (37*s[75])/3 + 
       9*s[76] + (7*s[77])/3 + (2*s[78])/3 + (740*s[79])/3 - (521*s[80])/9 + 
       516*s[82] + 144*s[84] + 144*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1}, 1 - v]*((-19*s[2])/2 + (187*s[3])/3 + 
       (5071*s[4])/4 + (75865*s[5])/66 + (26878*s[6])/11 + 
       (4565047*s[7])/198 - (3144851*s[8])/1782 - (6343199*s[9])/324 - 
       (522043*s[10])/81 - (59322553*s[11])/2376 - (63654401*s[12])/2376 - 
       (18695117*s[13])/1188 - (2251861*s[14])/594 - (3400933*s[15])/108 - 
       (11656808*s[16])/297 - (74547265*s[17])/2376 - (2137631*s[18])/486 - 
       (3367955*s[19])/972 - (251277295*s[20])/5346 - (92396881*s[21])/5346 + 
       (129228547*s[22])/10692 + (59143427*s[23])/2376 + 
       (540711983*s[24])/21384 - (1506064309*s[25])/48114 + 
       (425340746*s[26])/24057 - 4*s[27] + s[30]/3 - 15*s[31] - 
       (10*s[32])/3 - (149*s[33])/6 + (41*s[34])/3 + (70*s[35])/3 - 
       (217*s[36])/3 + (299*s[37])/9 + (2159*s[38])/3 - (11615*s[39])/4 + 
       (39253*s[40])/12 - (31457*s[41])/12 + (50243*s[42])/12 + 
       (118981*s[43])/44 - (726169*s[44])/264 + (1359395*s[45])/396 - 
       (2505593*s[46])/99 + (76677*s[47])/88 + (125377*s[48])/264 - 
       (3234701*s[49])/264 + (1304219*s[50])/66 + (2312243*s[51])/792 + 
       (608381*s[52])/264 - (4114300*s[53])/297 + (11587*s[54])/99 - 
       (70076263*s[55])/792 - (53941363*s[56])/2376 + (58160039*s[57])/3564 - 
       (807494987*s[58])/21384 + (826311287*s[59])/21384 + 
       (995942699*s[60])/4752 - (1084005493*s[61])/96228 + 8*s[62] + 
       3*s[68] + 3*s[69] - 2*s[71] + 12*s[72] - (37*s[74])/3 + (37*s[75])/3 + 
       9*s[76] + (7*s[77])/3 + (2*s[78])/3 + (740*s[79])/3 - (521*s[80])/9 + 
       516*s[82] + 144*s[84] + 144*s[85]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*((-65*s[2])/6 + 
       (1867*s[3])/18 + (234719*s[4])/144 + (1235677*s[5])/1584 + 
       (2111785*s[6])/792 + (625830497*s[7])/28512 - (27576667*s[8])/14256 - 
       (23806577*s[9])/1296 - (3339749*s[10])/648 - (77422517*s[11])/3168 - 
       (65157383*s[12])/2376 - (476345995*s[13])/28512 - 
       (6050203*s[14])/3168 - (72344387*s[15])/2592 - 
       (516749261*s[16])/14256 - (752110031*s[17])/28512 - 
       (5463259*s[18])/1296 - (596623*s[19])/216 - (605372021*s[20])/14256 - 
       (1292040899*s[21])/85536 + (984530939*s[22])/85536 + 
       (410588125*s[23])/14256 + (988858753*s[24])/42768 - 
       (12170307841*s[25])/384912 + (3267038915*s[26])/192456 + 
       (977*s[30])/36 - (167*s[31])/18 + (61*s[32])/6 - (1003*s[33])/48 + 
       (583*s[34])/36 - (409*s[35])/6 - (1121*s[36])/27 + (1589*s[37])/216 + 
       (34105*s[38])/36 - (84839*s[39])/24 + (878839*s[40])/216 - 
       (118429*s[41])/36 + (540949*s[42])/108 + (7885565*s[43])/2376 - 
       (32426021*s[44])/9504 + (18227851*s[45])/4752 - 
       (139418639*s[46])/4752 + (27298339*s[47])/28512 + 
       (31984471*s[48])/28512 - (417600937*s[49])/28512 + 
       (26678911*s[50])/1188 + (102492431*s[51])/28512 + 
       (82943633*s[52])/28512 - (219292855*s[53])/14256 + 
       (486653*s[54])/594 - (104201645*s[55])/1056 - (255162821*s[56])/9504 + 
       (39693263*s[57])/1584 - (3899282351*s[58])/85536 + 
       (3909486599*s[59])/85536 + (41426544061*s[60])/171072 - 
       (2501237275*s[61])/192456 - s[64] + (5*s[65])/2 + (11*s[66])/3 - 
       (19*s[67])/6 - (25*s[68])/3 + 6*s[69] + 28*s[70] - (53*s[71])/4 - 
       5*s[72] + (167*s[73])/9 - (19*s[74])/2 + (45*s[75])/4 + (47*s[76])/6 - 
       (685*s[77])/18 - (181*s[78])/9 + 419*s[79] - (8803*s[80])/108 - 
       s[81]/6 + 14*s[82] - (137*s[83])/12 + (257*s[84])/2 + (434*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((3*s[2])/2 + (61*s[3])/12 + (2225*s[4])/24 + (35*s[5])/33 + 
       (37039*s[6])/264 + (2950097*s[7])/1584 - (300593*s[8])/7128 - 
       (253123*s[9])/162 - (251509*s[10])/324 - (10622981*s[11])/4752 - 
       (1495523*s[12])/594 - (7814579*s[13])/4752 - (771065*s[14])/4752 - 
       (908005*s[15])/432 - (956597*s[16])/297 - (10265603*s[17])/4752 - 
       (87061*s[18])/972 - (1421035*s[19])/1944 - (78913333*s[20])/21384 - 
       (46546871*s[21])/42768 + (43786063*s[22])/42768 + (61132*s[23])/297 + 
       (7466410*s[24])/2673 - (559027057*s[25])/192456 + 
       (255959707*s[26])/192456 - (4*s[30])/3 - 2*s[31] + (14*s[32])/3 + 
       (85*s[33])/12 + 6*s[34] + (11*s[35])/3 - (52*s[36])/3 - 
       (373*s[37])/6 + 145*s[38] - (4387*s[39])/12 + (1857*s[40])/4 - 
       (5149*s[41])/12 + (4463*s[42])/12 + (99853*s[43])/132 - 
       (185785*s[44])/264 + (102467*s[45])/132 - (58689*s[46])/11 - 
       (319703*s[47])/792 + (938059*s[48])/792 - (2894191*s[49])/792 + 
       (50678*s[50])/11 + (147283*s[51])/792 + (66623*s[52])/792 - 
       (372649*s[53])/132 - (85741*s[54])/66 - (15111091*s[55])/792 - 
       (2982041*s[56])/792 - (1984105*s[57])/594 - (41330851*s[58])/7128 + 
       (44570509*s[59])/7128 + (248765479*s[60])/4752 - 
       (137024623*s[61])/64152 + 2*s[67] - 10*s[68] + 12*s[69] + 16*s[70] + 
       s[71]/3 - 2*s[72] - (2*s[73])/3 + (7*s[74])/2 - (7*s[75])/2 + 
       4*s[76] - (67*s[77])/3 - (14*s[78])/3 - (20*s[79])/3 + 15*s[80] + 
       632*s[82] + (3*s[83])/2 + 19*s[84] + 148*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((95*s[2])/6 + (233*s[3])/24 + (79637*s[4])/48 + (641171*s[5])/528 + 
       (4735123*s[6])/1584 + (9664643*s[7])/352 - (10646941*s[8])/4752 - 
       (5025601*s[9])/216 - (3125431*s[10])/432 - (47628751*s[11])/1584 - 
       (104071625*s[12])/3168 - (20738749*s[13])/1056 - 
       (11498491*s[14])/3168 - (31567213*s[15])/864 - (73279175*s[16])/1584 - 
       (3532312*s[17])/99 - (1643665*s[18])/324 - (1273841*s[19])/324 - 
       (48871817*s[20])/891 - (563920957*s[21])/28512 + 
       (412950743*s[22])/28512 + (33517361*s[23])/1056 + 
       (849857267*s[24])/28512 - (613387933*s[25])/16038 + 
       (2694134261*s[26])/128304 + (13*s[30])/6 + (16*s[31])/3 - 
       (10*s[32])/3 - (209*s[33])/24 - (19*s[34])/3 - (137*s[35])/6 - 
       (845*s[36])/12 + (5875*s[37])/72 + (32167*s[38])/36 - 
       (533651*s[39])/144 + (606359*s[40])/144 - (160717*s[41])/48 + 
       (775639*s[42])/144 + (5201501*s[43])/1584 - (3740153*s[44])/1056 + 
       (6237637*s[45])/1584 - (2685535*s[46])/88 + (3727777*s[47])/3168 + 
       (1954423*s[48])/3168 - (47427979*s[49])/3168 + (18701845*s[50])/792 + 
       (36038605*s[51])/9504 + (9441539*s[52])/3168 - (4321337*s[53])/264 + 
       (44185*s[54])/66 - (109888841*s[55])/1056 - (87709861*s[56])/3168 + 
       (30413297*s[57])/1188 - (1344553769*s[58])/28512 + 
       (1357070573*s[59])/28512 + (4760099431*s[60])/19008 - 
       (215901605*s[61])/16038 - s[64]/2 + (3*s[66])/2 - (3*s[68])/2 + 
       s[69]/2 - s[70] - 2*s[71] + (32*s[72])/3 - 4*s[73] - (227*s[74])/12 + 
       (109*s[75])/6 - (8*s[76])/3 + s[77]/2 - (8*s[78])/3 + 423*s[79] - 
       (1319*s[80])/12 + 522*s[82] - (17*s[83])/4 + (377*s[84])/2 + 
       148*s[85]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*((107*s[2])/6 + (233*s[3])/6 + (9847*s[4])/6 + 
       (54147*s[5])/44 + (806477*s[6])/264 + (21877811*s[7])/792 - 
       (24334*s[8])/11 - 23336*s[9] - (179203*s[10])/24 - 
       (5313137*s[11])/176 - (17329243*s[12])/528 - (1724749*s[13])/88 - 
       (88311*s[14])/22 - (331885*s[15])/9 - (513861*s[16])/11 - 
       (19211149*s[17])/528 - (123611*s[18])/24 - (16041*s[19])/4 - 
       (3661555*s[20])/66 - (7963393*s[21])/396 + (3837995*s[22])/264 + 
       (16431703*s[23])/528 + (47729531*s[24])/1584 - (90810091*s[25])/2376 + 
       (50198785*s[26])/2376 + (7*s[30])/6 + s[31]/3 - (29*s[32])/6 - 
       (139*s[33])/12 + (25*s[34])/6 - (137*s[35])/6 - (845*s[36])/12 + 
       (6035*s[37])/72 + (3573*s[38])/4 - (177217*s[39])/48 + 
       (67151*s[40])/16 - (160037*s[41])/48 + (85791*s[42])/16 + 
       (576629*s[43])/176 - (3735473*s[44])/1056 + (691133*s[45])/176 - 
       (2676655*s[46])/88 + (3694547*s[47])/3168 + (2006993*s[48])/3168 - 
       (47368109*s[49])/3168 + (776965*s[50])/33 + (11957645*s[51])/3168 + 
       (9383059*s[52])/3168 - (12920531*s[53])/792 + (41755*s[54])/66 - 
       (36512237*s[55])/352 - (87312251*s[56])/3168 + (15091181*s[57])/594 - 
       (1339028899*s[58])/28512 + (1351775563*s[59])/28512 + 
       (4748441021*s[60])/19008 - (859785985*s[61])/64152 - s[64]/2 + 
       (3*s[66])/2 - (3*s[68])/2 + s[69]/2 - s[70] - 2*s[71] + (32*s[72])/3 - 
       4*s[73] - (227*s[74])/12 + (109*s[75])/6 - (8*s[76])/3 + s[77]/2 - 
       (8*s[78])/3 + 423*s[79] - (1319*s[80])/12 + 532*s[82] - (17*s[83])/4 + 
       (377*s[84])/2 + 148*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*((185*s[2])/8 + (2785*s[3])/48 + 
       (158291*s[4])/96 + (230783*s[5])/176 + (3395639*s[6])/1056 + 
       (183679937*s[7])/6336 - (21531899*s[8])/9504 - (661565*s[9])/27 - 
       (1723781*s[10])/216 - (200655119*s[11])/6336 - (54341119*s[12])/1584 - 
       (14422305*s[13])/704 - (28131479*s[14])/6336 - (2498671*s[15])/64 - 
       (4338107*s[16])/88 - (245492581*s[17])/6336 - (6815995*s[18])/1296 - 
       (11572561*s[19])/2592 - (1667644051*s[20])/28512 - 
       (1212240329*s[21])/57024 + (869029885*s[22])/57024 + 
       (16582145*s[23])/528 + (457650103*s[24])/14256 - 
       (10267277311*s[25])/256608 + (5702386753*s[26])/256608 - 
       (7*s[30])/12 + (11*s[31])/3 - 2*s[32] - (27*s[33])/8 + (11*s[34])/4 - 
       (25*s[35])/4 - (1565*s[36])/36 + (199*s[37])/3 + (2402*s[38])/3 - 
       (39259*s[39])/12 + (66901*s[40])/18 - (35207*s[41])/12 + 
       (339899*s[42])/72 + (1184071*s[43])/396 - (10007495*s[44])/3168 + 
       (240719*s[45])/66 - (2746300*s[46])/99 + (9291409*s[47])/9504 + 
       (6537097*s[48])/9504 - (129732445*s[49])/9504 + (2126332*s[50])/99 + 
       (30883547*s[51])/9504 + (24430151*s[52])/9504 - 
       (70919555*s[53])/4752 + (158159*s[54])/396 - (100742393*s[55])/1056 - 
       (238812979*s[56])/9504 + (301744265*s[57])/14256 - 
       (3619987289*s[58])/85536 + (3673648745*s[59])/85536 + 
       (13062014287*s[60])/57024 - (2367650333*s[61])/192456 + s[67]/2 - 
       s[69]/2 + 3*s[70] - (29*s[71])/12 + (23*s[72])/2 - (7*s[73])/6 - 
       (307*s[74])/24 + (101*s[75])/8 - 4*s[76] - (15*s[77])/4 + 
       (15*s[78])/2 + 357*s[79] - (197*s[80])/2 + (1321*s[82])/2 - s[83]/4 + 
       (279*s[84])/2 + 150*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((1631*s[2])/36 + (223*s[3])/72 + 
       (259483*s[4])/144 + (2185157*s[5])/1584 + (5397925*s[6])/1584 + 
       (293506841*s[7])/9504 - (34717049*s[8])/14256 - (8488171*s[9])/324 - 
       (10707665*s[10])/1296 - (20210873*s[11])/594 - 
       (353610355*s[12])/9504 - (71261783*s[13])/3168 - 
       (39998939*s[14])/9504 - (11774987*s[15])/288 - (82500125*s[16])/1584 - 
       (190320803*s[17])/4752 - (22110185*s[18])/3888 - 
       (17585689*s[19])/3888 - (2637461581*s[20])/42768 - 
       (1939343585*s[21])/85536 + (1395744799*s[22])/85536 + 
       (12202361*s[23])/352 + (2901629899*s[24])/85536 - 
       (4140786313*s[25])/96228 + (9207670909*s[26])/384912 + s[28]/3 + 
       4*s[29] + (19*s[30])/9 + (164*s[31])/9 - (151*s[32])/18 - 
       (151*s[33])/72 - (137*s[34])/9 - (787*s[35])/18 - (3037*s[36])/36 + 
       (1639*s[37])/18 + (15335*s[38])/12 - (707441*s[39])/144 + 
       (264359*s[40])/48 - (625999*s[41])/144 + (1008455*s[42])/144 + 
       (2326933*s[43])/528 - (2438053*s[44])/528 + (472387*s[45])/99 - 
       (20063383*s[46])/528 + (616463*s[47])/396 + (1337197*s[48])/1584 - 
       (1320325*s[49])/66 + (7737679*s[50])/264 + (843593*s[51])/176 + 
       (1538225*s[52])/396 - (5940427*s[53])/297 + (166757*s[54])/792 - 
       (605177623*s[55])/4752 - (19842091*s[56])/594 + 
       (510677555*s[57])/14256 - (2556368299*s[58])/42768 + 
       (2591560207*s[59])/42768 + (186519835*s[60])/594 - 
       (6225827101*s[61])/384912 + (5*s[62])/6 - s[64]/2 + (5*s[65])/6 - 
       (22*s[66])/3 + (20*s[67])/3 - 11*s[68] + (56*s[69])/3 + (22*s[70])/3 - 
       (23*s[71])/6 + (157*s[72])/9 - (41*s[73])/6 - (661*s[74])/36 + 
       (679*s[75])/36 - (70*s[76])/9 - (187*s[77])/6 + (499*s[78])/18 + 
       (1432*s[79])/3 - (1799*s[80])/18 - s[81]/12 + 443*s[82] - 
       (89*s[83])/6 + (413*s[84])/3 + (464*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((647*s[2])/6 + (627*s[3])/4 + (6679*s[4])/8 + (22940*s[5])/11 + 
       (985769*s[6])/264 + (136865507*s[7])/4752 - (11406035*s[8])/7128 - 
       (7955465*s[9])/324 - (2819461*s[10])/324 - (146292191*s[11])/4752 - 
       (74960909*s[12])/2376 - (9753191*s[13])/528 - (38669297*s[14])/4752 - 
       (5878711*s[15])/144 - (19847021*s[16])/396 - (207344173*s[17])/4752 - 
       (2944745*s[18])/486 - (7695361*s[19])/1944 - (1306170643*s[20])/
        21384 - (1050646679*s[21])/42768 + (638994943*s[22])/42768 + 
       (6852443*s[23])/264 + (680846867*s[24])/21384 - 
       (3534302129*s[25])/96228 + (2204188187*s[26])/96228 - (40*s[30])/3 + 
       54*s[31] + (135*s[33])/4 - (284*s[34])/3 + (79*s[35])/3 - 
       (1025*s[36])/9 + (403*s[37])/18 + 630*s[38] - (18151*s[39])/6 + 
       (56827*s[40])/18 - (14083*s[41])/6 + (38962*s[42])/9 + 
       (531437*s[43])/198 - (2215685*s[44])/792 + (1318643*s[45])/396 - 
       (3361865*s[46])/132 + (2664517*s[47])/2376 + (473713*s[48])/2376 - 
       (29619133*s[49])/2376 + (1868113*s[50])/99 + (6259223*s[51])/2376 + 
       (5369009*s[52])/2376 - (932825*s[53])/66 + (42301*s[54])/33 - 
       (23114977*s[55])/264 - (55400375*s[56])/2376 + (60690979*s[57])/3564 - 
       (808835311*s[58])/21384 + (837789877*s[59])/21384 + 
       (2879522425*s[60])/14256 - (2316932455*s[61])/192456 - 21*s[65] - 
       48*s[66] + 54*s[67] + 48*s[68] + 108*s[69] + 21*s[71] + 54*s[72] - 
       66*s[73] - (167*s[74])/6 + (167*s[75])/6 - 27*s[77] + 150*s[78] - 
       (644*s[79])/3 - (47*s[80])/9 + 826*s[82] + 27*s[83] - 90*s[84] + 
       160*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 
       1 - u]*((-55*s[2])/6 + (1251*s[3])/4 + (11453*s[4])/8 + 
       (68333*s[5])/132 + (204623*s[6])/88 + (26951765*s[7])/1584 - 
       (5315341*s[8])/2376 - (1414405*s[9])/108 - (203035*s[10])/54 - 
       (30173773*s[11])/1584 - (17317105*s[12])/792 - (20505437*s[13])/1584 - 
       (197515*s[14])/1584 - (341979*s[15])/16 - (5668051*s[16])/198 - 
       (10973405*s[17])/528 - (252284*s[18])/81 - (1752299*s[19])/648 - 
       (221197451*s[20])/7128 - (147705133*s[21])/14256 + 
       (119713133*s[22])/14256 + (20345675*s[23])/792 + 
       (126992923*s[24])/7128 - (822474979*s[25])/32076 + 
       (104055682*s[26])/8019 - 3*s[28] - 48*s[29] + 27*s[30] - 42*s[31] - 
       3*s[32] - (14*s[33])/3 + (125*s[34])/3 + (79*s[35])/3 - 
       (1025*s[36])/9 + (403*s[37])/18 + 630*s[38] - (18151*s[39])/6 + 
       (56827*s[40])/18 - (14083*s[41])/6 + (38962*s[42])/9 + 
       (531437*s[43])/198 - (2215685*s[44])/792 + (1318643*s[45])/396 - 
       (3361865*s[46])/132 + (2664517*s[47])/2376 + (473713*s[48])/2376 - 
       (29619133*s[49])/2376 + (1868113*s[50])/99 + (6259223*s[51])/2376 + 
       (5369009*s[52])/2376 - (932825*s[53])/66 + (42301*s[54])/33 - 
       (23114977*s[55])/264 - (55400375*s[56])/2376 + (60690979*s[57])/3564 - 
       (808835311*s[58])/21384 + (837789877*s[59])/21384 + 
       (2879522425*s[60])/14256 - (2316932455*s[61])/192456 - 21*s[65] - 
       48*s[66] + 54*s[67] + 48*s[68] + 108*s[69] + 21*s[71] + 54*s[72] - 
       66*s[73] - (167*s[74])/6 + (167*s[75])/6 - 27*s[77] + 150*s[78] - 
       (644*s[79])/3 - (47*s[80])/9 + 826*s[82] + 27*s[83] - 90*s[84] + 
       160*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 
       1 - v]*((40*s[2])/3 + (129*s[3])/2 + (1697*s[4])/4 + (14325*s[5])/44 + 
       (116311*s[6])/132 + (21125617*s[7])/2376 - (2208025*s[8])/3564 - 
       (595043*s[9])/81 - (945103*s[10])/324 - (11565929*s[11])/1188 - 
       (24942185*s[12])/2376 - (1621471*s[13])/264 - (3930523*s[14])/2376 - 
       (870743*s[15])/72 - (6076967*s[16])/396 - (14447161*s[17])/1188 - 
       (1484719*s[18])/972 - (1706099*s[19])/972 - (99746281*s[20])/5346 - 
       (141557107*s[21])/21384 + (99189923*s[22])/21384 + 
       (2061251*s[23])/264 + (229721381*s[24])/21384 - 
       (1169367179*s[25])/96228 + (654089261*s[26])/96228 - (40*s[30])/3 - 
       3*s[32] + (9*s[33])/2 + (22*s[34])/3 + (160*s[35])/3 + (118*s[36])/9 - 
       (569*s[37])/18 + 219*s[38] - (2057*s[39])/3 + (7817*s[40])/9 - 
       (3979*s[41])/6 + (15113*s[42])/18 + (103264*s[43])/99 - 
       (413317*s[44])/396 + (548297*s[45])/396 - (1204901*s[46])/132 - 
       (141479*s[47])/594 + (719491*s[48])/594 - (5699393*s[49])/1188 + 
       (1420931*s[50])/198 + (531973*s[51])/1188 + (508165*s[52])/1188 - 
       (647215*s[53])/132 - (21266*s[54])/33 - (728879*s[55])/22 - 
       (9527131*s[56])/1188 - (770035*s[57])/1782 - (63771271*s[58])/5346 + 
       (132690731*s[59])/10692 + (146508173*s[60])/1782 - 
       (816047473*s[61])/192456 - 3*s[71] - 12*s[73] + (20*s[74])/3 - 
       (29*s[75])/3 + (292*s[79])/3 - (299*s[80])/9 + 958*s[82] - 27*s[83] + 
       90*s[84] + 160*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*((40*s[2])/3 + (129*s[3])/2 + 
       (849*s[4])/4 + (15056*s[5])/33 + (12797*s[6])/11 + 
       (6202969*s[7])/792 - (94064*s[8])/297 - (717625*s[9])/108 - 
       (139891*s[10])/54 - (3391687*s[11])/396 - (7020241*s[12])/792 - 
       (4392445*s[13])/792 - (2166071*s[14])/792 - (258485*s[15])/24 - 
       (5473691*s[16])/396 - (390407*s[17])/33 - (200881*s[18])/162 - 
       (508621*s[19])/324 - (60214615*s[20])/3564 - (45774947*s[21])/7128 + 
       (29075887*s[22])/7128 + (3166385*s[23])/792 + (69746587*s[24])/7128 - 
       (662031257*s[25])/64152 + (396648707*s[26])/64152 - 3*s[32] + 
       (40*s[33])/3 + (80*s[34])/3 + (160*s[35])/3 + (118*s[36])/9 - 
       (569*s[37])/18 + 219*s[38] - (2057*s[39])/3 + (7817*s[40])/9 - 
       (3979*s[41])/6 + (15113*s[42])/18 + (103264*s[43])/99 - 
       (413317*s[44])/396 + (548297*s[45])/396 - (1204901*s[46])/132 - 
       (141479*s[47])/594 + (719491*s[48])/594 - (5699393*s[49])/1188 + 
       (1420931*s[50])/198 + (531973*s[51])/1188 + (508165*s[52])/1188 - 
       (647215*s[53])/132 - (21266*s[54])/33 - (728879*s[55])/22 - 
       (9527131*s[56])/1188 - (770035*s[57])/1782 - (63771271*s[58])/5346 + 
       (132690731*s[59])/10692 + (146508173*s[60])/1782 - 
       (816047473*s[61])/192456 - 3*s[71] - 12*s[73] + (20*s[74])/3 - 
       (29*s[75])/3 + (292*s[79])/3 - (299*s[80])/9 + 958*s[82] - 27*s[83] + 
       90*s[84] + 160*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*((179*s[2])/6 - (183*s[3])/4 + (13883*s[4])/8 + 
       (40822*s[5])/33 + (883961*s[6])/264 + (141432065*s[7])/4752 - 
       (16245623*s[8])/7128 - (2048435*s[9])/81 - (2578297*s[10])/324 - 
       (155822417*s[11])/4752 - (85282343*s[12])/2376 - 
       (34549499*s[13])/1584 - (19949027*s[14])/4752 - (5624545*s[15])/144 - 
       (4938337*s[16])/99 - (180895075*s[17])/4752 - (2585573*s[18])/486 - 
       (8604901*s[19])/1944 - (1269346333*s[20])/21384 - 
       (915485993*s[21])/42768 + (673405525*s[22])/42768 + 
       (25371041*s[23])/792 + (704719457*s[24])/21384 - 
       (8011365805*s[25])/192456 + (4398019831*s[26])/192456 + s[30] + 
       (16*s[31])/3 - 2*s[32] + (22*s[33])/3 - (35*s[34])/3 - (110*s[35])/3 - 
       (434*s[36])/9 + (97*s[37])/3 + 1063*s[38] - (48707*s[39])/12 + 
       (168209*s[40])/36 - (44785*s[41])/12 + (206929*s[42])/36 + 
       (1532983*s[43])/396 - (400429*s[44])/99 + (143059*s[45])/33 - 
       (13348057*s[46])/396 + (1150469*s[47])/1188 + (374597*s[48])/297 - 
       (20727347*s[49])/1188 + (5149673*s[50])/198 + (1211233*s[51])/297 + 
       (3916117*s[52])/1188 - (5275262*s[53])/297 + (53420*s[54])/99 - 
       (2507147*s[55])/22 - (35524133*s[56])/1188 + (93613655*s[57])/3564 - 
       (549178081*s[58])/10692 + (277961417*s[59])/5346 + 
       (2002567661*s[60])/7128 - (2791326965*s[61])/192456 - 4*s[68] + 
       4*s[69] + (40*s[70])/3 - (16*s[71])/3 + 2*s[72] - (38*s[73])/3 - 
       (107*s[74])/6 + (19*s[75])/2 - 14*s[76] - (55*s[77])/3 - 2*s[78] + 
       (1600*s[79])/3 - (400*s[80])/3 + 320*s[82] - (15*s[83])/2 + 
       161*s[84] + 160*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*(s[2]/6 + (1793*s[3])/12 + (47201*s[4])/24 + 
       (40505*s[5])/33 + (924685*s[6])/264 + (49037081*s[7])/1584 - 
       (17144627*s[8])/7128 - (8436437*s[9])/324 - (2740159*s[10])/324 - 
       (161751731*s[11])/4752 - (88163183*s[12])/2376 - 
       (106471727*s[13])/4752 - (20076185*s[14])/4752 - 
       (17827597*s[15])/432 - (31104547*s[16])/594 - (192210749*s[17])/4752 - 
       (5345911*s[18])/972 - (9598171*s[19])/1944 - (1322446219*s[20])/
        21384 - (948862619*s[21])/42768 + (693964087*s[22])/42768 + 
       (80673191*s[23])/2376 + (737939945*s[24])/21384 - 
       (2085917245*s[25])/48114 + (2287802291*s[26])/96228 + (8*s[30])/3 - 
       (34*s[31])/3 + (7*s[32])/3 + (47*s[33])/12 + 22*s[34] - 
       (110*s[35])/3 - (434*s[36])/9 + (97*s[37])/3 + 1063*s[38] - 
       (48707*s[39])/12 + (168209*s[40])/36 - (44785*s[41])/12 + 
       (206929*s[42])/36 + (1532983*s[43])/396 - (400429*s[44])/99 + 
       (143059*s[45])/33 - (13348057*s[46])/396 + (1150469*s[47])/1188 + 
       (374597*s[48])/297 - (20727347*s[49])/1188 + (5149673*s[50])/198 + 
       (1211233*s[51])/297 + (3916117*s[52])/1188 - (5275262*s[53])/297 + 
       (53420*s[54])/99 - (2507147*s[55])/22 - (35524133*s[56])/1188 + 
       (93613655*s[57])/3564 - (549178081*s[58])/10692 + 
       (277961417*s[59])/5346 + (2002567661*s[60])/7128 - 
       (2791326965*s[61])/192456 - 4*s[68] + 4*s[69] + (40*s[70])/3 - 
       (16*s[71])/3 + 2*s[72] - (38*s[73])/3 - (107*s[74])/6 + (19*s[75])/2 - 
       14*s[76] - (55*s[77])/3 - 2*s[78] + (1600*s[79])/3 - (400*s[80])/3 + 
       320*s[82] - (15*s[83])/2 + 161*s[84] + 160*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((51*s[2])/4 - (1255*s[3])/36 + (4077*s[4])/4 + (269869*s[5])/396 + 
       (127915*s[6])/66 + (168001883*s[7])/9504 - (55986749*s[8])/42768 - 
       (58541503*s[9])/3888 - (19164551*s[10])/3888 - 
       (557351243*s[11])/28512 - (304993841*s[12])/14256 - 
       (369949007*s[13])/28512 - (74853743*s[14])/28512 - 
       (60020419*s[15])/2592 - (425140621*s[16])/14256 - 
       (647939297*s[17])/28512 - (8973341*s[18])/2916 - 
       (32700367*s[19])/11664 - (2283857183*s[20])/64152 - 
       (3273684437*s[21])/256608 + (2416291375*s[22])/256608 + 
       (128421037*s[23])/7128 + (2561095895*s[24])/128304 - 
       (28543072633*s[25])/1154736 + (3911040427*s[26])/288684 + 
       (11*s[28])/3 + (20*s[30])/9 + s[31]/3 - (128*s[32])/9 - 
       (395*s[33])/36 + (89*s[34])/18 - (155*s[35])/18 - (280*s[36])/9 - 
       (79*s[37])/54 + (5554*s[38])/9 - (53995*s[39])/24 + 
       (190049*s[40])/72 - (155969*s[41])/72 + (228103*s[42])/72 + 
       (1825739*s[43])/792 - (462571*s[44])/198 + (758350*s[45])/297 - 
       (46323239*s[46])/2376 + (123881*s[47])/297 + (2683651*s[48])/2376 - 
       (12213761*s[49])/1188 + (667121*s[50])/44 + (1792157*s[51])/792 + 
       (4183541*s[52])/2376 - (18100879*s[53])/1782 - (289723*s[54])/1188 - 
       (155829989*s[55])/2376 - (60914143*s[56])/3564 + 
       (309176873*s[57])/21384 - (946636613*s[58])/32076 + 
       (1911397489*s[59])/64152 + (1174839961*s[60])/7128 - 
       (9570231719*s[61])/1154736 - 8*s[63] + (13*s[65])/6 + 2*s[66] - 
       (17*s[67])/3 - (32*s[68])/3 - (4*s[69])/3 + (131*s[70])/3 - 
       (49*s[71])/6 + s[72] - 7*s[73] - (227*s[74])/36 + (299*s[75])/36 + 
       (5*s[76])/3 - (1055*s[77])/18 - (65*s[78])/9 + (2704*s[79])/9 - 
       (1291*s[80])/27 + (1399*s[82])/3 - 4*s[83] + 166*s[84] + 
       (482*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*((97*s[2])/18 + (181*s[3])/3 - (812*s[4])/3 + 
       (19645*s[5])/396 - (167*s[6])/44 - (379405*s[7])/1188 + 
       (231118*s[8])/891 + (169147*s[9])/648 - (476173*s[10])/648 + 
       (1605127*s[11])/2376 + (6827101*s[12])/4752 + (2639723*s[13])/2376 - 
       (7356889*s[14])/4752 - (81185*s[15])/108 - (243745*s[16])/594 - 
       (3171121*s[17])/1584 + (822091*s[18])/3888 - (1910413*s[19])/3888 - 
       (50009989*s[20])/42768 - (22633189*s[21])/42768 - 
       (9742591*s[22])/42768 - (25798109*s[23])/4752 + 
       (19209925*s[24])/21384 + (143388197*s[25])/96228 - 
       (65020435*s[26])/192456 - (5*s[30])/3 - 4*s[31] + (31*s[32])/6 + 
       (223*s[33])/18 + (181*s[34])/9 + (191*s[35])/9 + (866*s[36])/27 - 
       (7391*s[37])/108 - 215*s[38] + (30479*s[39])/36 - (94073*s[40])/108 + 
       (22859*s[41])/36 - (70601*s[42])/54 - (200177*s[43])/594 + 
       (1019489*s[44])/2376 + (93449*s[45])/594 + (89753*s[46])/66 - 
       (5067487*s[47])/7128 + (6404765*s[48])/7128 + (19041317*s[49])/14256 - 
       (183391*s[50])/297 - (13151359*s[51])/14256 - (6112133*s[52])/7128 + 
       (725467*s[53])/2376 - (220307*s[54])/264 + (1919*s[55])/88 + 
       (10835725*s[56])/14256 - (300662471*s[57])/21384 + 
       (709936769*s[58])/128304 - (666165251*s[59])/128304 - 
       (348183293*s[60])/85536 - (9241649*s[61])/144342 + 2*s[66] - 2*s[67] + 
       2*s[68] - 6*s[69] + (44*s[70])/3 + s[71]/3 - (14*s[72])/3 - 
       (2*s[73])/3 + (64*s[74])/9 - (64*s[75])/9 + 2*s[76] - (35*s[77])/3 - 
       (22*s[78])/3 - (748*s[79])/9 + (350*s[80])/27 + (2876*s[82])/3 + 
       4*s[83] - 12*s[84] + (488*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      Qep[w, u, v]*((128*s[2])/9 - (16*s[3])/3 + 536*s[4] + (47632*s[5])/99 + 
       (32704*s[6])/33 + (3494444*s[7])/297 - (8816*s[8])/11 - 
       (90736*s[9])/9 - (35464*s[10])/9 - (1250728*s[11])/99 - 
       (436352*s[12])/33 - (2273500*s[13])/297 - (72328*s[14])/33 - 
       (151388*s[15])/9 - (6076240*s[16])/297 - (5058668*s[17])/297 - 
       (133636*s[18])/81 - (212540*s[19])/81 - (22025660*s[20])/891 - 
       (7688920*s[21])/891 + (617176*s[22])/99 + (2521880*s[23])/297 + 
       (4201108*s[24])/297 - (126104452*s[25])/8019 + (69097012*s[26])/8019 + 
       (32*s[32])/3 + (32*s[33])/9 - (128*s[34])/9 - (640*s[35])/9 - 
       (832*s[36])/27 - (176*s[37])/27 + (896*s[38])/3 - (10096*s[39])/9 + 
       (35152*s[40])/27 - (10192*s[41])/9 + (41216*s[42])/27 + 
       (407168*s[43])/297 - (399824*s[44])/297 + (540640*s[45])/297 - 
       (1259200*s[46])/99 - (7400*s[47])/891 + (880696*s[48])/891 - 
       (5877100*s[49])/891 + (3181712*s[50])/297 + (1022660*s[51])/891 + 
       (545456*s[52])/891 - (725960*s[53])/99 - (133480*s[54])/99 - 
       (4696760*s[55])/99 - (9233036*s[56])/891 - (5445640*s[57])/2673 - 
       (126779260*s[58])/8019 + (134921956*s[59])/8019 + 
       (305896358*s[60])/2673 - (388240432*s[61])/72171 + (128*s[70])/3 - 
       (32*s[74])/9 + (32*s[75])/9 - (128*s[77])/3 + (1280*s[79])/9 - 
       (640*s[80])/27 + (2624*s[82])/3 + (512*s[85])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((1301*s[2])/72 + (19387*s[3])/144 + (338947*s[4])/288 + 
       (3017411*s[5])/3168 + (7477147*s[6])/3168 + (49726513*s[7])/2376 - 
       (22361597*s[8])/14256 - (45675791*s[9])/2592 - (7652435*s[10])/1296 - 
       (435780187*s[11])/19008 - (470702345*s[12])/19008 - 
       (140786095*s[13])/9504 - (7723223*s[14])/2376 - (24446207*s[15])/864 - 
       (339924901*s[16])/9504 - (59672927*s[17])/2112 - 
       (29453767*s[18])/7776 - (13297795*s[19])/3888 - 
       (3621498167*s[20])/85536 - (1322674145*s[21])/85536 + 
       (936298399*s[22])/85536 + (416807653*s[23])/19008 + 
       (4025833121*s[24])/171072 - (22241339237*s[25])/769824 + 
       (12414948401*s[26])/769824 - s[28]/12 - (49*s[30])/9 + (40*s[31])/9 - 
       (917*s[32])/72 + (323*s[33])/144 + (2*s[34])/9 + (101*s[35])/36 - 
       (613*s[36])/18 + (985*s[37])/144 + (15337*s[38])/24 - 
       (350347*s[39])/144 + (131777*s[40])/48 - (78437*s[41])/36 + 
       (30580*s[42])/9 + (1278215*s[43])/528 - (5171537*s[44])/2112 + 
       (3202231*s[45])/1056 - (69729005*s[46])/3168 + (3355489*s[47])/6336 + 
       (5965613*s[48])/6336 - (7784511*s[49])/704 + (9054383*s[50])/528 + 
       (4881539*s[51])/2112 + (11534965*s[52])/6336 - 
       (113493767*s[53])/9504 - (230893*s[54])/792 - (1459758203*s[55])/
        19008 - (372618395*s[56])/19008 + (363606007*s[57])/28512 - 
       (5558600293*s[58])/171072 + (5699685121*s[59])/171072 + 
       (7025061799*s[60])/38016 - (948733585*s[61])/96228 + s[64]/4 - 
       s[65]/3 - (4*s[66])/3 + (17*s[67])/6 - (26*s[68])/3 + (19*s[69])/3 + 
       (25*s[70])/6 - (17*s[71])/8 + (175*s[72])/18 - (20*s[73])/3 - 
       (487*s[74])/72 + (541*s[75])/72 - (109*s[76])/18 - (87*s[77])/4 + 
       (143*s[78])/18 + (913*s[79])/6 - (499*s[80])/24 + 693*s[82] + 
       (29*s[83])/24 + (1135*s[84])/12 + (523*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((1303*s[2])/72 + (10721*s[3])/144 + (285659*s[4])/288 + 
       (89831*s[5])/99 + (3315751*s[6])/1584 + (359712247*s[7])/19008 - 
       (10074739*s[8])/7128 - (41501537*s[9])/2592 - (7072529*s[10])/1296 - 
       (196224929*s[11])/9504 - (421604267*s[12])/19008 - 
       (27791737*s[13])/2112 - (62446447*s[14])/19008 - 
       (44569049*s[15])/1728 - (102932857*s[16])/3168 - 
       (247104811*s[17])/9504 - (1687921*s[18])/486 - (23870555*s[19])/7776 - 
       (3308434619*s[20])/85536 - (2439979741*s[21])/171072 + 
       (1697158169*s[22])/171072 + (121529371*s[23])/6336 + 
       (3652299443*s[24])/171072 - (39767654725*s[25])/1539648 + 
       (22496232823*s[26])/1539648 - (5*s[29])/2 + (19*s[30])/36 + 
       (13*s[31])/18 - (85*s[32])/72 - (263*s[33])/144 + (52*s[34])/9 + 
       (109*s[35])/36 - (301*s[36])/9 + (5*s[37])/16 + (45383*s[38])/72 - 
       (350089*s[39])/144 + (394361*s[40])/144 - (156977*s[41])/72 + 
       (81733*s[42])/24 + (3810695*s[43])/1584 - (5127689*s[44])/2112 + 
       (3193819*s[45])/1056 - (69631277*s[46])/3168 + (384301*s[47])/704 + 
       (5674505*s[48])/6336 - (69516043*s[49])/6336 + (27100223*s[50])/1584 + 
       (44014103*s[51])/19008 + (11611717*s[52])/6336 - 
       (37787525*s[53])/3168 - (63413*s[54])/264 - (1457623471*s[55])/19008 - 
       (124522933*s[56])/6336 + (41154251*s[57])/3168 - 
       (618522073*s[58])/19008 + (633730645*s[59])/19008 + 
       (6997854859*s[60])/38016 - (422889301*s[61])/42768 + s[64]/4 - 
       s[65]/3 - (5*s[66])/3 + (19*s[67])/6 - (25*s[68])/3 + (20*s[69])/3 + 
       (25*s[70])/6 - (47*s[71])/24 + (179*s[72])/18 - (20*s[73])/3 - 
       (479*s[74])/72 + (533*s[75])/72 - (107*s[76])/18 - (87*s[77])/4 + 
       (163*s[78])/18 + (883*s[79])/6 - (1453*s[80])/72 + 686*s[82] + 
       (19*s[83])/24 + (1085*s[84])/12 + (527*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((64*s[2])/3 + (536*s[3])/3 + (5189*s[4])/3 + (101833*s[5])/66 + 
       (119074*s[6])/33 + (38062267*s[7])/1188 - (4292875*s[8])/1782 - 
       (2183596*s[9])/81 - (742574*s[10])/81 - (20690381*s[11])/594 - 
       (44390411*s[12])/1188 - (2912125*s[13])/132 - (6670897*s[14])/1188 - 
       (526079*s[15])/12 - (5450029*s[16])/99 - (13143362*s[17])/297 - 
       (1464065*s[18])/243 - (1228921*s[19])/243 - (175209571*s[20])/2673 - 
       (258877633*s[21])/10692 + (178649447*s[22])/10692 + 
       (4398709*s[23])/132 + (381554297*s[24])/10692 - 
       (1047024250*s[25])/24057 + (594107980*s[26])/24057 + (8*s[30])/3 - 
       (8*s[31])/3 + (8*s[32])/3 - (71*s[33])/6 + (44*s[34])/3 - 
       (64*s[35])/3 - (632*s[36])/9 - (82*s[37])/9 + (2864*s[38])/3 - 
       (11518*s[39])/3 + (39122*s[40])/9 - 3502*s[41] + (49018*s[42])/9 + 
       (361954*s[43])/99 - (379087*s[44])/99 + (480707*s[45])/99 - 
       (387831*s[46])/11 + (562879*s[47])/594 + (741343*s[48])/594 - 
       (10138837*s[49])/594 + (2724247*s[50])/99 + (2221079*s[51])/594 + 
       (872095*s[52])/297 - (1911631*s[53])/99 - (11438*s[54])/33 - 
       (24596183*s[55])/198 - (19007711*s[56])/594 + (17741281*s[57])/891 - 
       (277878181*s[58])/5346 + (284646253*s[59])/5346 + 
       (1045323025*s[60])/3564 - (780273331*s[61])/48114 - 8*s[68] + 
       8*s[69] + 16*s[70] - 4*s[71] + (32*s[72])/3 - (16*s[73])/3 - 
       18*s[74] + (56*s[75])/3 + (16*s[76])/3 - (88*s[77])/3 + (8*s[78])/3 + 
       (736*s[79])/3 - (620*s[80])/9 + 688*s[82] + 6*s[83] + 68*s[84] + 
       176*s[85]) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((119*s[2])/6 + (355*s[3])/4 + (10985*s[4])/8 + (143003*s[5])/132 + 
       (720839*s[6])/264 + (37966823*s[7])/1584 - (4459405*s[8])/2376 - 
       (4371707*s[9])/216 - (353317*s[10])/54 - (41545183*s[11])/1584 - 
       (11273261*s[12])/396 - (26953277*s[13])/1584 - (5782543*s[14])/1584 - 
       (4615057*s[15])/144 - (32176555*s[16])/792 - (16772743*s[17])/528 - 
       (727129*s[18])/162 - (2293217*s[19])/648 - (344159393*s[20])/7128 - 
       (251050405*s[21])/14256 + (179235389*s[22])/14256 + 
       (20922929*s[23])/792 + (187931365*s[24])/7128 - 
       (265664011*s[25])/8019 + (295904969*s[26])/16038 + (4*s[30])/3 + 
       3*s[31] - (3*s[32])/2 - (133*s[33])/24 + 6*s[34] - (10*s[35])/3 - 
       43*s[36] + (169*s[37])/4 + (1559*s[38])/2 - (38483*s[39])/12 + 
       (43667*s[40])/12 - (34505*s[41])/12 + (55519*s[42])/12 + 
       (386449*s[43])/132 - (67603*s[44])/22 + (935471*s[45])/264 - 
       (7110935*s[46])/264 + (95284*s[47])/99 + (268111*s[48])/396 - 
       (5247805*s[49])/396 + (2740897*s[50])/132 + (639743*s[51])/198 + 
       (1013585*s[52])/396 - (1903439*s[53])/132 + (70891*s[54])/132 - 
       (36387905*s[55])/396 - (2415218*s[56])/99 + (51031963*s[57])/2376 - 
       (294743993*s[58])/7128 + (148837795*s[59])/3564 + 
       (1052346743*s[60])/4752 - (1542598069*s[61])/128304 - s[64]/6 + 
       s[66]/2 - s[69]/2 - (2*s[70])/3 - 2*s[71] + (34*s[72])/3 + s[73]/3 - 
       (37*s[74])/3 + 12*s[75] - 9*s[76] - (11*s[77])/6 + (14*s[78])/3 + 
       305*s[79] - (485*s[80])/6 + 613*s[82] - (7*s[83])/4 + (305*s[84])/2 + 
       176*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - w]*
      ((125*s[2])/6 + (307*s[3])/4 + (11545*s[4])/8 + (97019*s[5])/88 + 
       (728575*s[6])/264 + (38981699*s[7])/1584 - (1560527*s[8])/792 - 
       (187013*s[9])/9 - (476681*s[10])/72 - (7118905*s[11])/264 - 
       (15508501*s[12])/528 - (27811537*s[13])/1584 - (612317*s[14])/176 - 
       (4720711*s[15])/144 - (16480375*s[16])/396 - (12785507*s[17])/396 - 
       (501065*s[18])/108 - (385501*s[19])/108 - (58624219*s[20])/1188 - 
       (28435091*s[21])/1584 + (61418461*s[22])/4752 + 
       (44274467*s[23])/1584 + (127609777*s[24])/4752 - 
       (243521921*s[25])/7128 + (67460617*s[26])/3564 + (11*s[30])/6 + 
       6*s[31] - (7*s[32])/2 - (5*s[33])/3 - s[34]/3 - (10*s[35])/3 - 
       43*s[36] + (539*s[37])/12 + (4675*s[38])/6 - (12761*s[39])/4 + 
       (14489*s[40])/4 - (34301*s[41])/12 + (18389*s[42])/4 + 
       (385265*s[43])/132 - (33743*s[44])/11 + (310661*s[45])/88 - 
       (7078967*s[46])/264 + (752303*s[47])/792 + (551993*s[48])/792 - 
       (10477649*s[49])/792 + (682490*s[50])/33 + (2542405*s[51])/792 + 
       (1004813*s[52])/396 - (631581*s[53])/44 + (65059*s[54])/132 - 
       (72458893*s[55])/792 - (19202461*s[56])/792 + (50477719*s[57])/2376 - 
       (73271633*s[58])/1782 + (296087087*s[59])/7128 + 
       (262212305*s[60])/1188 - (1533429025*s[61])/128304 - s[64]/6 + 
       s[66]/2 - s[69]/2 - (2*s[70])/3 - 2*s[71] + (34*s[72])/3 + s[73]/3 - 
       (37*s[74])/3 + 12*s[75] - 9*s[76] - (11*s[77])/6 + (14*s[78])/3 + 
       305*s[79] - (485*s[80])/6 + 625*s[82] - (7*s[83])/4 + (305*s[84])/2 + 
       176*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
      ((67*s[2])/4 + (95*s[3])/24 + (41671*s[4])/24 + (665119*s[5])/528 + 
       (207007*s[6])/66 + (46104503*s[7])/1584 - (3699647*s[8])/1584 - 
       (1773605*s[9])/72 - (565855*s[10])/72 - (33669407*s[11])/1056 - 
       (36695201*s[12])/1056 - (16463027*s[13])/792 - (173411*s[14])/44 - 
       (5595523*s[15])/144 - (77956273*s[16])/1584 - (120839803*s[17])/3168 - 
       (125675*s[18])/24 - (319861*s[19])/72 - (30757411*s[20])/528 - 
       (49822363*s[21])/2376 + (9118819*s[22])/594 + (103211155*s[23])/3168 + 
       (304081183*s[24])/9504 - (3464433823*s[25])/85536 + 
       (1900040683*s[26])/85536 + (35*s[30])/12 + (3*s[31])/2 - (5*s[32])/3 - 
       (355*s[33])/48 + (3*s[34])/4 - (45*s[35])/2 - (515*s[36])/9 + 
       (3149*s[37])/36 + (5641*s[38])/6 - (93131*s[39])/24 + 
       (317881*s[40])/72 - (84107*s[41])/24 + (404573*s[42])/72 + 
       (2779151*s[43])/792 - (11866175*s[44])/3168 + (406346*s[45])/99 - 
       (2818955*s[46])/88 + (11240167*s[47])/9504 + (6944227*s[48])/9504 - 
       (152384893*s[49])/9504 + (19701035*s[50])/792 + 
       (37137479*s[51])/9504 + (28974875*s[52])/9504 - (1700045*s[53])/99 + 
       (92761*s[54])/264 - (115434307*s[55])/1056 - (272477519*s[56])/9504 + 
       (368675599*s[57])/14256 - (4198959175*s[58])/85536 + 
       (4256919841*s[59])/85536 + (15077350279*s[60])/57024 - 
       (10742575939*s[61])/769824 + s[66] - s[67] + s[68] - 3*s[69] + 
       (20*s[70])/3 - (7*s[71])/6 + 12*s[72] - (8*s[73])/3 - (211*s[74])/12 + 
       (209*s[75])/12 - s[76]/3 - 7*s[77] + (16*s[78])/3 + (1418*s[79])/3 - 
       (2563*s[80])/18 + 734*s[82] + (15*s[83])/4 + 181*s[84] + 176*s[85]) + 
     HPL[{0, 1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v]*(41*s[2] + (397*s[3])/12 + 
       (58061*s[4])/24 + (241343*s[5])/132 + (596749*s[6])/132 + 
       (48176087*s[7])/1188 - (7844897*s[8])/2376 - (929072*s[9])/27 - 
       (2268449*s[10])/216 - (70474699*s[11])/1584 - (77097445*s[12])/1584 - 
       (34650013*s[13])/1188 - (4289729*s[14])/792 - (5797859*s[15])/108 - 
       (161702465*s[16])/2376 - (247929587*s[17])/4752 - 
       (2516081*s[18])/324 - (873305*s[19])/162 - (577201499*s[20])/7128 - 
       (35243209*s[21])/1188 + (152595329*s[22])/7128 + 
       (228474221*s[23])/4752 + (618186757*s[24])/14256 - 
       (2410369979*s[25])/42768 + (1339802951*s[26])/42768 + (127*s[30])/3 + 
       (58*s[31])/3 - 11*s[32] + (23*s[33])/2 - (115*s[34])/3 - 
       (111*s[35])/2 - (1937*s[36])/18 + (1693*s[37])/18 + (4433*s[38])/3 - 
       5888*s[39] + (59485*s[40])/9 - (63023*s[41])/12 + (306089*s[42])/36 + 
       (516998*s[43])/99 - (8745545*s[44])/1584 + (2348105*s[45])/396 - 
       (18511165*s[46])/396 + (8865979*s[47])/4752 + (4092067*s[48])/4752 - 
       (112450825*s[49])/4752 + (14239385*s[50])/396 + 
       (27872387*s[51])/4752 + (22348289*s[52])/4752 - 
       (29636885*s[53])/1188 + (88199*s[54])/99 - (83694311*s[55])/528 - 
       (66323329*s[56])/1584 + (98391937*s[57])/2376 - 
       (345706135*s[58])/4752 + (351298709*s[59])/4752 + 
       (10917181567*s[60])/28512 - (2603688215*s[61])/128304 + s[64]/2 - 
       3*s[66] + 2*s[67] - s[68]/2 + (19*s[69])/2 + 19*s[70] - 9*s[71] + 
       26*s[72] - (20*s[73])/3 - (53*s[74])/2 + (115*s[75])/4 - 13*s[76] - 
       (118*s[77])/3 + (70*s[78])/3 + 598*s[79] - (1172*s[80])/9 - s[81]/12 + 
       433*s[82] - 7*s[83] + 240*s[84] + 180*s[85]) + 
     HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*((13*s[2])/12 + 
       (1531*s[3])/12 + (66481*s[4])/24 + (120863*s[5])/66 + 
       (644761*s[6])/132 + (207359387*s[7])/4752 - (2124457*s[8])/594 - 
       (7931099*s[9])/216 - (313889*s[10])/27 - (4218051*s[11])/88 - 
       (82865393*s[12])/1584 - (149700319*s[13])/4752 - (2836181*s[14])/528 - 
       (25246913*s[15])/432 - (175722485*s[16])/2376 - 
       (136171549*s[17])/2376 - (832373*s[18])/108 - (496259*s[19])/72 - 
       (205749035*s[20])/2376 - (444663179*s[21])/14256 + 
       (326354711*s[22])/14256 + (237794369*s[23])/4752 + 
       (686346467*s[24])/14256 - (7851095159*s[25])/128304 + 
       (4293778217*s[26])/128304 + s[28]/2 + 2*s[29] + (26*s[30])/3 + 
       (14*s[31])/3 - (7*s[32])/6 - (137*s[33])/4 + (29*s[34])/3 - 
       (111*s[35])/2 - (1937*s[36])/18 + (1693*s[37])/18 + (4433*s[38])/3 - 
       5888*s[39] + (59485*s[40])/9 - (63023*s[41])/12 + (306089*s[42])/36 + 
       (516998*s[43])/99 - (8745545*s[44])/1584 + (2348105*s[45])/396 - 
       (18511165*s[46])/396 + (8865979*s[47])/4752 + (4092067*s[48])/4752 - 
       (112450825*s[49])/4752 + (14239385*s[50])/396 + 
       (27872387*s[51])/4752 + (22348289*s[52])/4752 - 
       (29636885*s[53])/1188 + (88199*s[54])/99 - (83694311*s[55])/528 - 
       (66323329*s[56])/1584 + (98391937*s[57])/2376 - 
       (345706135*s[58])/4752 + (351298709*s[59])/4752 + 
       (10917181567*s[60])/28512 - (2603688215*s[61])/128304 + s[64]/2 - 
       3*s[66] + 2*s[67] - s[68]/2 + (19*s[69])/2 + 19*s[70] - 9*s[71] + 
       26*s[72] - (20*s[73])/3 - (53*s[74])/2 + (115*s[75])/4 - 13*s[76] - 
       (118*s[77])/3 + (70*s[78])/3 + 598*s[79] - (1172*s[80])/9 - s[81]/12 + 
       433*s[82] - 7*s[83] + 240*s[84] + 180*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      (25*s[2] + (233*s[3])/6 + (3795*s[4])/4 + (390043*s[5])/528 + 
       (233371*s[6])/132 + (79655119*s[7])/4752 - (2210015*s[8])/1782 - 
       (4605725*s[9])/324 - (6131269*s[10])/1296 - (175448191*s[11])/9504 - 
       (190509617*s[12])/9504 - (14273995*s[13])/1188 - 
       (11451131*s[14])/4752 - (4853611*s[15])/216 - (33895507*s[16])/1188 - 
       (70456205*s[17])/3168 - (11415913*s[18])/3888 - (5508763*s[19])/1944 - 
       (1445434643*s[20])/42768 - (522320561*s[21])/42768 + 
       (378561217*s[22])/42768 + (165356623*s[23])/9504 + 
       (1620564437*s[24])/85536 - (4486927591*s[25])/192456 + 
       (2467944145*s[26])/192456 + s[28]/6 - s[30] + (11*s[31])/2 - 
       (7*s[32])/6 - (10*s[33])/3 - 5*s[34] - 14*s[35] - (1489*s[36])/36 + 
       (419*s[37])/36 + (2075*s[38])/3 - (123349*s[39])/48 + 
       (417163*s[40])/144 - (111445*s[41])/48 + (517235*s[42])/144 + 
       (3939245*s[43])/1584 - (253658*s[44])/99 + (2279501*s[45])/792 - 
       (3838849*s[46])/176 + (2780857*s[47])/4752 + (1130905*s[48])/1188 - 
       (54560281*s[49])/4752 + (6786803*s[50])/396 + (5889679*s[51])/2376 + 
       (9095111*s[52])/4752 - (3083899*s[53])/264 - (5424*s[54])/11 - 
       (4930829*s[55])/66 - (89436515*s[56])/4752 + (208780061*s[57])/14256 - 
       (173936117*s[58])/5346 + (88838290*s[59])/2673 + 
       (5244504541*s[60])/28512 - (1803601337*s[61])/192456 - s[64]/4 - 
       s[65]/12 - s[66]/2 - (26*s[68])/3 + (14*s[69])/3 + (47*s[70])/6 - 
       (17*s[71])/6 + 6*s[72] - (49*s[73])/6 - (26*s[74])/3 + 
       (107*s[75])/12 - 5*s[76] - 17*s[77] + 3*s[78] + (1325*s[79])/6 - 
       (683*s[80])/18 + (1305*s[82])/2 - (5*s[83])/2 + 115*s[84] + 
       182*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v]*((46*s[2])/3 + 56*s[3] + (617*s[4])/6 + 
       (92165*s[5])/264 + (188501*s[6])/264 + (555937*s[7])/88 - 
       (1937695*s[8])/7128 - (3483137*s[9])/648 - (1596643*s[10])/648 - 
       (7910101*s[11])/1188 - (15834031*s[12])/2376 - (9051329*s[13])/2376 - 
       (5717033*s[14])/2376 - (500137*s[15])/54 - (13620823*s[16])/1188 - 
       (24502517*s[17])/2376 - (2043007*s[18])/1944 - (337837*s[19])/243 - 
       (76615943*s[20])/5346 - (57315769*s[21])/10692 + 
       (70221313*s[22])/21384 + (609836*s[23])/297 + (42782935*s[24])/5346 - 
       (2994463645*s[25])/384912 + (1838129605*s[26])/384912 + 5*s[32] + 
       (21*s[33])/2 + 10*s[34] + (5*s[35])/3 + (52*s[36])/9 - 
       (485*s[37])/12 + (188*s[38])/3 - (4691*s[39])/24 + (20461*s[40])/72 - 
       (6731*s[41])/24 + (11981*s[42])/72 + (486383*s[43])/792 - 
       (857017*s[44])/1584 + (915613*s[45])/792 - (437713*s[46])/66 - 
       (1740373*s[47])/4752 + (5572097*s[48])/4752 - (14173685*s[49])/4752 + 
       (1096709*s[50])/198 + (346765*s[51])/4752 - (136973*s[52])/4752 - 
       (762923*s[53])/198 - (52523*s[54])/66 - (41939299*s[55])/1584 - 
       (29723011*s[56])/4752 - (24562247*s[57])/3564 - 
       (295079579*s[58])/42768 + (312300575*s[59])/42768 + 
       (1775437385*s[60])/28512 - (658899223*s[61])/192456 + 20*s[70] - 
       s[71]/3 + (8*s[74])/3 - (8*s[75])/3 + s[76]/3 - 20*s[77] - 4*s[79] + 
       (47*s[80])/18 + 1016*s[82] + 184*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      ((179*s[2])/12 + (157*s[3])/8 + (49387*s[4])/24 + (758605*s[5])/528 + 
       (160453*s[6])/44 + (106209353*s[7])/3168 - (19410461*s[8])/7128 - 
       (36713663*s[9])/1296 - (11575783*s[10])/1296 - 
       (174876641*s[11])/4752 - (382164077*s[12])/9504 - 
       (229262797*s[13])/9504 - (40513213*s[14])/9504 - 
       (38533901*s[15])/864 - (268865225*s[16])/4752 - 
       (207197027*s[17])/4752 - (5895061*s[18])/972 - (19665551*s[19])/3888 - 
       (2855151467*s[20])/42768 - (2057498779*s[21])/85536 + 
       (1511301293*s[22])/85536 + (364944233*s[23])/9504 + 
       (3137864285*s[24])/85536 - (36068101309*s[25])/769824 + 
       (19744132627*s[26])/769824 + (43*s[30])/12 - s[31]/6 - 3*s[32] - 
       (547*s[33])/48 - s[34]/4 - (53*s[35])/2 - (676*s[36])/9 + 
       (403*s[37])/4 + (2263*s[38])/2 - (110981*s[39])/24 + 
       (377087*s[40])/72 - (99733*s[41])/24 + (481579*s[42])/72 + 
       (299123*s[43])/72 - (1274375*s[44])/288 + 4760*s[45] - 
       (2697383*s[46])/72 + (1235551*s[47])/864 + (695851*s[48])/864 - 
       (16375813*s[49])/864 + (2090507*s[50])/72 + (3999887*s[51])/864 + 
       (3146387*s[52])/864 - (540827*s[53])/27 + (31363*s[54])/72 - 
       (12219611*s[55])/96 - (28846759*s[56])/864 + (40866107*s[57])/1296 - 
       (448977887*s[58])/7776 + (455438105*s[59])/7776 + 
       (1599817999*s[60])/5184 - (1134518507*s[61])/69984 - s[66] + s[67] - 
       s[68] + 3*s[69] + (14*s[70])/3 - (13*s[71])/6 + 16*s[72] - 4*s[73] - 
       (259*s[74])/12 + (257*s[75])/12 - (7*s[76])/3 - (23*s[77])/3 + 
       12*s[78] + (1592*s[79])/3 - (297*s[80])/2 + 686*s[82] + (13*s[83])/4 + 
       208*s[84] + 184*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]^2*((403*s[2])/24 + (1813*s[3])/16 + 
       (69747*s[4])/32 + (819589*s[5])/528 + (4049873*s[6])/1056 + 
       (24802429*s[7])/704 - (81963557*s[8])/28512 - (38517833*s[9])/1296 - 
       (12094963*s[10])/1296 - (734951105*s[11])/19008 - 
       (25080059*s[12])/594 - (482166035*s[13])/19008 - 
       (82634153*s[14])/19008 - (81195841*s[15])/1728 - 
       (141319663*s[16])/2376 - (872429783*s[17])/19008 - 
       (12406697*s[18])/1944 - (41904037*s[19])/7776 - 
       (5987573455*s[20])/85536 - (4306195235*s[21])/171072 + 
       (3167171527*s[22])/171072 + (48146023*s[23])/1188 + 
       (825251885*s[24])/21384 - (37990201489*s[25])/769824 + 
       (20731835167*s[26])/769824 + (47*s[30])/12 + (20*s[31])/3 - 
       (71*s[32])/6 - (13*s[33])/8 - (115*s[34])/12 - (341*s[35])/12 - 
       (997*s[36])/12 + (2611*s[37])/24 + (3604*s[38])/3 - 
       (116311*s[39])/24 + (43535*s[40])/8 - (102601*s[41])/24 + 6976*s[42] + 
       (380767*s[43])/88 - (4826933*s[44])/1056 + (894481*s[45])/176 - 
       (20715263*s[46])/528 + (1628833*s[47])/1056 + (770965*s[48])/1056 - 
       (20794259*s[49])/1056 + (2664699*s[50])/88 + (15289931*s[51])/3168 + 
       (4068131*s[52])/1056 - (33306505*s[53])/1584 + (21308*s[54])/33 - 
       (141037681*s[55])/1056 - (110984503*s[56])/3168 + 
       (155636561*s[57])/4752 - (1725711011*s[58])/28512 + 
       (1749955877*s[59])/28512 + (2041211935*s[60])/6336 - 
       (4395661697*s[61])/256608 - (5*s[62])/6 + s[64]/4 - (7*s[65])/12 - 
       2*s[66] + (7*s[67])/3 - (11*s[68])/2 + (7*s[69])/2 - (5*s[70])/3 - 
       (17*s[71])/12 + (101*s[72])/6 - (17*s[73])/3 - (523*s[74])/24 + 
       (551*s[75])/24 - (29*s[76])/2 - (191*s[77])/12 + (29*s[78])/2 + 
       (1297*s[79])/3 - (423*s[80])/4 + s[81]/24 + 674*s[82] + 8*s[83] + 
       (449*s[84])/2 + 184*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - v]*((431*s[2])/24 + (1031*s[3])/16 + 
       (58271*s[4])/96 + (113649*s[5])/176 + (1554119*s[6])/1056 + 
       (258689659*s[7])/19008 - (26659841*s[8])/28512 - (932252*s[9])/81 - 
       (2770187*s[10])/648 - (279466469*s[11])/19008 - 
       (73815157*s[12])/4752 - (174119515*s[13])/19008 - 
       (56365061*s[14])/19008 - (32921885*s[15])/1728 - 
       (112701307*s[16])/4752 - (124370033*s[17])/6336 - 
       (1065053*s[18])/486 - (20443285*s[19])/7776 - (2434776961*s[20])/
        85536 - (1756905647*s[21])/171072 + (1218921919*s[22])/171072 + 
       (3258113*s[23])/297 + (689178727*s[24])/42768 - 
       (14061254071*s[25])/769824 + (7916732239*s[26])/769824 + 
       (71*s[30])/12 + 2*s[31] + (11*s[32])/2 + (131*s[33])/12 + 
       (71*s[34])/12 - (305*s[35])/12 - (181*s[36])/12 - (577*s[37])/72 + 
       (1383*s[38])/4 - (2615*s[39])/2 + (6077*s[40])/4 - (9897*s[41])/8 + 
       (7045*s[42])/4 + (104573*s[43])/66 - (545307*s[44])/352 + 
       (3423553*s[45])/1584 - (23523139*s[46])/1584 + (66079*s[47])/3168 + 
       (3731191*s[48])/3168 - (23430853*s[49])/3168 + (1573237*s[50])/132 + 
       (3674591*s[51])/3168 + (2578337*s[52])/3168 - (19767271*s[53])/2376 - 
       (284305*s[54])/396 - (172486007*s[55])/3168 - (126092921*s[56])/9504 + 
       (10885213*s[57])/14256 - (1679978317*s[58])/85536 + 
       (1755359779*s[59])/85536 + (2473503341*s[60])/19008 - 
       (5212337113*s[61])/769824 + 22*s[70] + (23*s[72])/6 + s[73]/6 - 
       (37*s[74])/24 + (37*s[75])/24 - (11*s[76])/3 - (287*s[77])/12 + 
       (23*s[78])/6 + (340*s[79])/3 - (1033*s[80])/36 + 1059*s[82] - 
       3*s[83] + 19*s[84] + 190*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*((75*s[2])/4 + 
       (2351*s[3])/24 + (27521*s[4])/16 + (135863*s[5])/132 + 
       (518203*s[6])/176 + (86155991*s[7])/3168 - (30393427*s[8])/14256 - 
       (1853270*s[9])/81 - (4920965*s[10])/648 - (285301723*s[11])/9504 - 
       (78145019*s[12])/2376 - (188495413*s[13])/9504 - 
       (32215039*s[14])/9504 - (31038683*s[15])/864 - (27381895*s[16])/594 - 
       (334749325*s[17])/9504 - (4690255*s[18])/972 - (17186207*s[19])/3888 - 
       (2324753147*s[20])/42768 - (1657524961*s[21])/85536 + 
       (1226943389*s[22])/85536 + (8953894*s[23])/297 + 
       (648812033*s[24])/21384 - (14709804299*s[25])/384912 + 
       (7991862875*s[26])/384912 + 19*s[29] - (11*s[30])/3 + s[31] + 
       s[32]/6 - (11*s[33])/24 + (44*s[34])/3 + (83*s[35])/6 - 
       (421*s[36])/12 + (269*s[37])/9 + (11345*s[38])/12 - (57143*s[39])/16 + 
       (197977*s[40])/48 - (157067*s[41])/48 + (244475*s[42])/48 + 
       (570345*s[43])/176 - (3731647*s[44])/1056 + (3003823*s[45])/792 - 
       (46366697*s[46])/1584 + (345789*s[47])/352 + (1029601*s[48])/1056 - 
       (15919709*s[49])/1056 + (752977*s[50])/33 + (11528903*s[51])/3168 + 
       (3023555*s[52])/1056 - (36312941*s[53])/2376 - (177929*s[54])/396 - 
       (311686195*s[55])/3168 - (244898959*s[56])/9504 + 
       (45866701*s[57])/1782 - (3902721161*s[58])/85536 + 
       (3910376471*s[59])/85536 + (4646553545*s[60])/19008 - 
       (9747044639*s[61])/769824 + (11*s[62])/2 + 2*s[65] + 6*s[66] - 
       7*s[67] - 4*s[68] - 14*s[69] + 38*s[70] - (13*s[71])/2 - s[72] - 
       (17*s[73])/2 - (169*s[74])/12 + (139*s[75])/12 - 4*s[76] - 
       (271*s[77])/6 - (125*s[78])/6 + (1433*s[79])/3 - (2197*s[80])/18 - 
       s[81]/6 + 671*s[82] - (75*s[83])/4 + (453*s[84])/2 + 190*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*
      ((593*s[2])/24 + (1013*s[3])/16 + (63245*s[4])/32 + (209281*s[5])/132 + 
       (1311279*s[6])/352 + (24040737*s[7])/704 - (78456817*s[8])/28512 - 
       (37463335*s[9])/1296 - (5953771*s[10])/648 - (711240229*s[11])/19008 - 
       (193640159*s[12])/4752 - (461129491*s[13])/19008 - 
       (91753645*s[14])/19008 - (78789173*s[15])/1728 - 
       (68616307*s[16])/1188 - (853157227*s[17])/19008 - 
       (12467683*s[18])/1944 - (38786453*s[19])/7776 - 
       (5870954651*s[20])/85536 - (4290403867*s[21])/171072 + 
       (3073683443*s[22])/171072 + (91520107*s[23])/2376 + 
       (797255209*s[24])/21384 - (36410552867*s[25])/769824 + 
       (20233368857*s[26])/769824 + s[28]/6 - (11*s[29])/2 + (7*s[30])/2 + 
       (43*s[31])/6 - (17*s[32])/3 - (325*s[33])/48 - (16*s[34])/3 - 
       (325*s[35])/12 - (953*s[36])/12 + (2375*s[37])/24 + (3436*s[38])/3 - 
       (111653*s[39])/24 + (41745*s[40])/8 - (32773*s[41])/8 + 
       (80399*s[42])/12 + (364101*s[43])/88 - (4633613*s[44])/1056 + 
       (2581471*s[45])/528 - (19914239*s[46])/528 + (1585841*s[47])/1056 + 
       (237055*s[48])/352 - (19986275*s[49])/1056 + (2563519*s[50])/88 + 
       (14641235*s[51])/3168 + (1295857*s[52])/352 - (32027441*s[53])/1584 + 
       (10289*s[54])/22 - (407033963*s[55])/3168 - (106686455*s[56])/3168 + 
       (150225445*s[57])/4752 - (1660881091*s[58])/28512 + 
       (1683952429*s[59])/28512 + (654235997*s[60])/2112 - 
       (4238220205*s[61])/256608 - (5*s[62])/6 + s[64]/4 - (7*s[65])/12 - 
       4*s[66] + (13*s[67])/3 - (7*s[68])/2 + (11*s[69])/2 - (5*s[70])/3 - 
       (5*s[71])/12 + (109*s[72])/6 - (17*s[73])/3 - (169*s[74])/8 + 
       (535*s[75])/24 - (83*s[76])/6 - (191*s[77])/12 + (127*s[78])/6 + 
       (1207*s[79])/3 - (1225*s[80])/12 + s[81]/24 + 764*s[82] + 
       (11*s[83])/2 + (399*s[84])/2 + 192*s[85]) + HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 1, 1}, 1 - u]*((62*s[2])/3 + (2617*s[3])/24 + 
       (122041*s[4])/48 + (60779*s[5])/33 + (2423803*s[6])/528 + 
       (130925911*s[7])/3168 - (1743917*s[8])/528 - (418927*s[9])/12 - 
       (64109*s[10])/6 - (48084233*s[11])/1056 - (13205263*s[12])/264 - 
       (95600861*s[13])/3168 - (5420573*s[14])/1056 - (15663589*s[15])/288 - 
       (109632463*s[16])/1584 - (166964305*s[17])/3168 - (208840*s[18])/27 - 
       (2559293*s[19])/432 - (389652893*s[20])/4752 - 
       (283380191*s[21])/9504 + (68818789*s[22])/3168 + 
       (76543535*s[23])/1584 + (70924877*s[24])/1584 - 
       (1239593063*s[25])/21384 + (682145087*s[26])/21384 + (13*s[30])/3 + 
       (14*s[31])/3 + (19*s[32])/12 - (41*s[33])/3 - (44*s[34])/3 - 
       (110*s[35])/3 - (625*s[36])/6 + (607*s[37])/6 + (3165*s[38])/2 - 
       (140983*s[39])/24 + (157235*s[40])/24 - (122969*s[41])/24 + 
       (199805*s[42])/24 + (1371793*s[43])/264 - (2840381*s[44])/528 + 
       (392309*s[45])/66 - (12130939*s[46])/264 + (3116299*s[47])/1584 + 
       (1301629*s[48])/1584 - (36914545*s[49])/1584 + (1154399*s[50])/33 + 
       (9205577*s[51])/1584 + (7695395*s[52])/1584 - (19074115*s[53])/792 + 
       (145163*s[54])/132 - (243433525*s[55])/1584 - (21635465*s[56])/528 + 
       (17139713*s[57])/396 - (38294951*s[58])/528 + (115573147*s[59])/1584 + 
       (3568230847*s[60])/9504 - (852813581*s[61])/42768 + 8*s[70] - 
       11*s[71] + (28*s[72])/3 + 5*s[73] - (143*s[74])/6 + (155*s[75])/6 - 
       (28*s[76])/3 - 10*s[77] + (20*s[78])/3 + 511*s[79] - (262*s[80])/3 + 
       281*s[82] - s[83]/4 + (415*s[84])/2 + 192*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((151*s[2])/6 + (451*s[3])/3 + (7853*s[4])/6 + (23299*s[5])/22 + 
       (748513*s[6])/264 + (29515525*s[7])/1188 - (12835897*s[8])/7128 - 
       (13501079*s[9])/648 - (611045*s[10])/81 - (128421721*s[11])/4752 - 
       (137251145*s[12])/4752 - (13556927*s[13])/792 - 
       (11191259*s[14])/2376 - (609739*s[15])/18 - (34002625*s[16])/792 - 
       (164911799*s[17])/4752 - (8517757*s[18])/1944 - (8460845*s[19])/1944 - 
       (546300025*s[20])/10692 - (393341963*s[21])/21384 + 
       (34707164*s[22])/2673 + (36326915*s[23])/1584 + 
       (1220861549*s[24])/42768 - (13017347143*s[25])/384912 + 
       (7257184351*s[26])/384912 + s[28]/2 - 3*s[29] - 4*s[30] + 
       (7*s[31])/3 - 4*s[32] + (7*s[33])/12 + (56*s[34])/3 - (4*s[35])/3 - 
       (143*s[36])/9 - (317*s[37])/18 + (980*s[38])/3 - 1495*s[39] + 
       (16007*s[40])/9 - (4436*s[41])/3 + (38093*s[42])/18 + 
       (322829*s[43])/198 - (1361285*s[44])/792 + (886223*s[45])/396 - 
       (2113219*s[46])/132 + (249055*s[47])/2376 + (2655811*s[48])/2376 - 
       (18738523*s[49])/2376 + (2542421*s[50])/198 + (3479789*s[51])/2376 + 
       (2401625*s[52])/2376 - (3527939*s[53])/396 - (21803*s[54])/33 - 
       (45292607*s[55])/792 - (33691037*s[56])/2376 + (14152111*s[57])/3564 - 
       (467973961*s[58])/21384 + (480879133*s[59])/21384 + 
       (1961779063*s[60])/14256 - (702571505*s[61])/96228 - s[64] - s[65]/2 + 
       2*s[66] + s[67] - 4*s[68] + 5*s[69] + s[70] - s[71]/2 + 4*s[72] + 
       (20*s[73])/3 - (17*s[74])/3 + (14*s[75])/3 + 2*s[76] - 9*s[77] - 
       10*s[78] + (505*s[79])/3 - (581*s[80])/9 + 1082*s[82] - (5*s[83])/4 + 
       (171*s[84])/2 + 196*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*((143*s[2])/6 - 
       (247*s[3])/12 + (26237*s[4])/12 + (131107*s[5])/88 + 
       (999671*s[6])/264 + (167512157*s[7])/4752 - (20055779*s[8])/7128 - 
       (9699617*s[9])/324 - (5945657*s[10])/648 - (185550107*s[11])/4752 - 
       (12791029*s[12])/297 - (41098531*s[13])/1584 - (19874369*s[14])/4752 - 
       (6625841*s[15])/144 - (15636341*s[16])/264 - (211774009*s[17])/4752 - 
       (1553146*s[18])/243 - (10135075*s[19])/1944 - (1498784137*s[20])/
        21384 - (1076756513*s[21])/42768 + (799746367*s[22])/42768 + 
       (16137641*s[23])/396 + (411663859*s[24])/10692 - 
       (9577111891*s[25])/192456 + (5211246703*s[26])/192456 - (11*s[30])/2 + 
       (23*s[31])/3 - (119*s[33])/24 - (97*s[34])/6 + (35*s[35])/6 - 
       (2551*s[36])/36 + (508*s[37])/9 + (15937*s[38])/12 - 
       (80943*s[39])/16 + (830755*s[40])/144 - (219571*s[41])/48 + 
       (1041449*s[42])/144 + (7177913*s[43])/1584 - (15498841*s[44])/3168 + 
       (4042127*s[45])/792 - (7063241*s[46])/176 + (14038091*s[47])/9504 + 
       (10686677*s[48])/9504 - (198775481*s[49])/9504 + (6165133*s[50])/198 + 
       (48309265*s[51])/9504 + (38482759*s[52])/9504 - (5544037*s[53])/264 - 
       (37073*s[54])/132 - (425574679*s[55])/3168 - (334572619*s[56])/9504 + 
       (132159191*s[57])/3564 - (5382316325*s[58])/85536 + 
       (5416175099*s[59])/85536 + (18980956055*s[60])/57024 - 
       (13221299915*s[61])/769824 + (11*s[62])/2 + 2*s[65] + 2*s[66] - 
       3*s[67] - 8*s[68] - 2*s[69] + 34*s[70] - (17*s[71])/2 + 7*s[72] - 
       (67*s[73])/6 - (265*s[74])/12 + (235*s[75])/12 - 8*s[76] - 
       (93*s[77])/2 - (15*s[78])/2 + (1781*s[79])/3 - (2417*s[80])/18 - 
       s[81]/6 + 575*s[82] - (79*s[83])/4 + (561*s[84])/2 + 206*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*
      ((365*s[2])/24 + (2501*s[3])/48 + (145081*s[4])/96 + 
       (621949*s[5])/528 + (3037325*s[6])/1056 + (166445533*s[7])/6336 - 
       (58861507*s[8])/28512 - (28796185*s[9])/1296 - (4650043*s[10])/648 - 
       (546719881*s[11])/19008 - (148595273*s[12])/4752 - 
       (354865843*s[13])/19008 - (72457765*s[14])/19008 - 
       (60750629*s[15])/1728 - (211578979*s[16])/4752 - 
       (659046367*s[17])/19008 - (4706129*s[18])/972 - 
       (30789347*s[19])/7776 - (4522518263*s[20])/85536 - 
       (3286109143*s[21])/171072 + (2364730967*s[22])/171072 + 
       (34621847*s[23])/1188 + (154395595*s[24])/5346 - 
       (7000577651*s[25])/192456 + (970056941*s[26])/48114 - s[29]/2 + 
       s[30] + (4*s[31])/3 - (29*s[32])/12 - (253*s[33])/48 - (17*s[34])/6 - 
       (29*s[35])/4 - (631*s[36])/12 + (173*s[37])/3 + (2866*s[38])/3 - 
       (23101*s[39])/6 + (52565*s[40])/12 - (10424*s[41])/3 + 
       (132467*s[42])/24 + (238327*s[43])/66 - (1333023*s[44])/352 + 
       (583789*s[45])/132 - (1100290*s[46])/33 + (3302227*s[47])/3168 + 
       (3356611*s[48])/3168 - (52329787*s[49])/3168 + (1710007*s[50])/66 + 
       (12031061*s[51])/3168 + (9443909*s[52])/3168 - (28451101*s[53])/1584 + 
       (6619*s[54])/33 - (364373611*s[55])/3168 - (31747295*s[56])/1056 + 
       (4139593*s[57])/176 - (478025645*s[58])/9504 + 
       (485816453*s[59])/9504 + (5263439497*s[60])/19008 - 
       (316650043*s[61])/21384 + s[67]/2 - 2*s[68] + (3*s[69])/2 + 7*s[70] - 
       (41*s[71])/12 + (27*s[72])/2 - (7*s[73])/6 - (343*s[74])/24 + 
       (113*s[75])/8 - 6*s[76] - (113*s[77])/12 + (49*s[78])/6 + 
       (1195*s[79])/3 - (613*s[80])/6 + (1779*s[82])/2 - s[83]/4 + 
       (327*s[84])/2 + 210*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*(5*s[2] - (239*s[3])/6 + 
       (3075*s[4])/4 + (83497*s[5])/132 + (129323*s[6])/88 + 
       (11154859*s[7])/792 - (7274401*s[8])/7128 - (7772543*s[9])/648 - 
       (1315805*s[10])/324 - (73155211*s[11])/4752 - (78889277*s[12])/4752 - 
       (11692429*s[13])/1188 - (1271321*s[14])/594 - (4108771*s[15])/216 - 
       (57401999*s[16])/2376 - (90728233*s[17])/4752 - (4750723*s[18])/1944 - 
       (4608101*s[19])/1944 - (152630219*s[20])/5346 - 
       (110528461*s[21])/10692 + (159811591*s[22])/21384 + 
       (67459385*s[23])/4752 + (681580181*s[24])/42768 - 
       (7471996669*s[25])/384912 + (4130486533*s[26])/384912 - (4*s[30])/3 - 
       (49*s[32])/6 - (43*s[33])/6 + (7*s[34])/3 - (28*s[35])/3 - 
       (155*s[36])/3 + (161*s[37])/18 + (2128*s[38])/3 - (5965*s[39])/2 + 
       (20539*s[40])/6 - (16685*s[41])/6 + (12766*s[42])/3 + 
       (32135*s[43])/11 - (203105*s[44])/66 + (1405375*s[45])/396 - 
       (10640275*s[46])/396 + (79139*s[47])/132 + (55757*s[48])/44 - 
       (452959*s[49])/33 + (698282*s[50])/33 + (575869*s[51])/198 + 
       (48327*s[52])/22 - (17375513*s[53])/1188 - (97463*s[54])/198 - 
       (9220591*s[55])/99 - (14027363*s[56])/594 + (13644475*s[57])/891 - 
       (104734094*s[58])/2673 + (428664395*s[59])/10692 + 
       (537017153*s[60])/2376 - (2273706829*s[61])/192456 - s[64] - s[65]/2 - 
       2*s[66] + 5*s[67] - 8*s[68] + 17*s[69] - 3*s[70] - (5*s[71])/2 + 
       12*s[72] + 4*s[73] - (41*s[74])/3 + (38*s[75])/3 - 2*s[76] - 
       (31*s[77])/3 + (10*s[78])/3 + (853*s[79])/3 - (691*s[80])/9 + 
       986*s[82] - (9*s[83])/4 + (279*s[84])/2 + 212*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((97*s[2])/3 + (770*s[3])/9 + (18437*s[4])/9 + (557173*s[5])/396 + 
       (366563*s[6])/99 + (952650707*s[7])/28512 - (37338715*s[8])/14256 - 
       (36581555*s[9])/1296 - (11671591*s[10])/1296 - 
       (116591521*s[11])/3168 - (95802545*s[12])/2376 - 
       (692522983*s[13])/28512 - (4786211*s[14])/1056 - 
       (113960753*s[15])/2592 - (802927991*s[16])/14256 - 
       (1229183999*s[17])/28512 - (2639791*s[18])/432 - (811853*s[19])/162 - 
       (317408089*s[20])/4752 - (2052861995*s[21])/85536 + 
       (1507432181*s[22])/85536 + (266928557*s[23])/7128 + 
       (393181141*s[24])/10692 - (17996476801*s[25])/384912 + 
       (614796055*s[26])/24057 + 9*s[29] - s[30]/9 + (104*s[31])/9 - 
       (11*s[32])/4 - (59*s[33])/8 - (7*s[34])/18 - (16*s[35])/3 - 
       (974*s[36])/27 + (16229*s[37])/216 + (40993*s[38])/36 - 
       (17529*s[39])/4 + (542291*s[40])/108 - (285911*s[41])/72 + 
       (1353623*s[42])/216 + (4732567*s[43])/1188 - (40219811*s[44])/9504 + 
       (22330009*s[45])/4752 - (171354047*s[46])/4752 + 
       (37579321*s[47])/28512 + (31794025*s[48])/28512 - 
       (517268155*s[49])/28512 + (8249584*s[50])/297 + 
       (127166585*s[51])/28512 + (101301875*s[52])/28512 - 
       (269291269*s[53])/14256 + (302411*s[54])/594 - 
       (383486381*s[55])/3168 - (308081999*s[56])/9504 + 
       (5489103*s[57])/176 - (4795620617*s[58])/85536 + 
       (4793697581*s[59])/85536 + (51097690759*s[60])/171072 - 
       (6068318555*s[61])/384912 + 4*s[62] - s[64] + (3*s[65])/2 + 
       (17*s[66])/3 - (14*s[67])/3 - s[68]/3 - 9*s[69] + 39*s[70] - 
       (23*s[71])/4 + (4*s[72])/3 - (34*s[73])/9 - (101*s[74])/6 + 
       (46*s[75])/3 - 11*s[76] - (416*s[77])/9 - (223*s[78])/9 + 525*s[79] - 
       (14557*s[80])/108 - s[81]/6 + 729*s[82] - (32*s[83])/3 + 267*s[84] + 
       (656*s[85])/3) + HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]*
      ((159*s[2])/4 + (485*s[3])/12 + (60265*s[4])/24 + (10147*s[5])/6 + 
       (13243*s[6])/3 + (17622593*s[7])/432 - (175945*s[8])/54 - 
       (3728399*s[9])/108 - (2352593*s[10])/216 - (2157061*s[11])/48 - 
       (7093811*s[12])/144 - (6416099*s[13])/216 - (20211*s[14])/4 - 
       (23306539*s[15])/432 - (29689129*s[16])/432 - (22648709*s[17])/432 - 
       (529321*s[18])/72 - (1327067*s[19])/216 - (974785*s[20])/12 - 
       (4734283*s[21])/162 + (3493153*s[22])/162 + (10079557*s[23])/216 + 
       (3627716*s[24])/81 - (333829711*s[25])/5832 + (45593305*s[26])/1458 + 
       (31*s[29])/2 + (2*s[30])/3 + (47*s[31])/3 - 6*s[32] + 7*s[33] - 
       (85*s[34])/6 - (37*s[35])/2 - (2735*s[36])/36 + (2273*s[37])/18 + 
       (8561*s[38])/6 - (89785*s[39])/16 + (921125*s[40])/144 - 
       (242323*s[41])/48 + (1159993*s[42])/144 + (8065207*s[43])/1584 - 
       (17178245*s[44])/3168 + (4507979*s[45])/792 - (71154095*s[46])/1584 + 
       (15848803*s[47])/9504 + (11398225*s[48])/9504 - 
       (220644697*s[49])/9504 + (27563081*s[50])/792 + 
       (53104217*s[51])/9504 + (42193799*s[52])/9504 - 
       (112640491*s[53])/4752 + (105331*s[54])/396 - (53274999*s[55])/352 - 
       (125976209*s[56])/3168 + (15730007*s[57])/396 - 
       (1991977307*s[58])/28512 + (2012264633*s[59])/28512 + 
       (21241302331*s[60])/57024 - (4935684709*s[61])/256608 + 3*s[62] + 
       s[64]/2 + (9*s[65])/4 + 4*s[66] - 5*s[67] - (13*s[68])/2 - 11*s[69] + 
       (37*s[70])/2 - 5*s[71] + 13*s[72] - (25*s[73])/3 - 21*s[74] + 
       (39*s[75])/2 - 15*s[76] - (133*s[77])/6 - (28*s[78])/3 + 703*s[79] - 
       (1666*s[80])/9 - s[81]/12 + 816*s[82] - (25*s[83])/2 + 279*s[84] + 
       224*s[85]) + HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*
      ((221*s[2])/12 + (205*s[3])/24 + (119281*s[4])/48 + (435535*s[5])/264 + 
       (2287607*s[6])/528 + (381241205*s[7])/9504 - (15459211*s[8])/4752 - 
       (7329655*s[9])/216 - (286882*s[10])/27 - (15580019*s[11])/352 - 
       (77054035*s[12])/1584 - (278854729*s[13])/9504 - 
       (5172911*s[14])/1056 - (45648203*s[15])/864 - (160524619*s[16])/2376 - 
       (488380799*s[17])/9504 - (760993*s[18])/108 - (894649*s[19])/144 - 
       (378718799*s[20])/4752 - (812013371*s[21])/28512 + 
       (604567679*s[22])/28512 + (215556973*s[23])/4752 + 
       (631458511*s[24])/14256 - (3624784775*s[25])/64152 + 
       (491892923*s[26])/16038 + (5*s[30])/6 + (4*s[31])/3 - s[32]/3 - 
       (37*s[33])/4 + (10*s[34])/3 - (37*s[35])/2 - (2735*s[36])/36 + 
       (2273*s[37])/18 + (8561*s[38])/6 - (89785*s[39])/16 + 
       (921125*s[40])/144 - (242323*s[41])/48 + (1159993*s[42])/144 + 
       (8065207*s[43])/1584 - (17178245*s[44])/3168 + (4507979*s[45])/792 - 
       (71154095*s[46])/1584 + (15848803*s[47])/9504 + 
       (11398225*s[48])/9504 - (220644697*s[49])/9504 + 
       (27563081*s[50])/792 + (53104217*s[51])/9504 + (42193799*s[52])/9504 - 
       (112640491*s[53])/4752 + (105331*s[54])/396 - (53274999*s[55])/352 - 
       (125976209*s[56])/3168 + (15730007*s[57])/396 - 
       (1991977307*s[58])/28512 + (2012264633*s[59])/28512 + 
       (21241302331*s[60])/57024 - (4935684709*s[61])/256608 + 3*s[62] + 
       s[64]/2 + (9*s[65])/4 + 4*s[66] - 5*s[67] - (13*s[68])/2 - 11*s[69] + 
       (37*s[70])/2 - 5*s[71] + 13*s[72] - (25*s[73])/3 - 21*s[74] + 
       (39*s[75])/2 - 15*s[76] - (133*s[77])/6 - (28*s[78])/3 + 703*s[79] - 
       (1666*s[80])/9 - s[81]/12 + 816*s[82] - (25*s[83])/2 + 279*s[84] + 
       224*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*((29*s[2])/3 + (371*s[3])/12 + (6191*s[4])/3 + 
       (126817*s[5])/88 + (335035*s[6])/88 + (164427779*s[7])/4752 - 
       (2095645*s[8])/792 - (1056839*s[9])/36 - (680773*s[10])/72 - 
       (60295193*s[11])/1584 - (10957999*s[12])/264 - 
       (118779499*s[13])/4752 - (7838669*s[14])/1584 - (19814945*s[15])/432 - 
       (138903995*s[16])/2376 - (214000013*s[17])/4752 - 
       (1016459*s[18])/162 - (3409501*s[19])/648 - (495580981*s[20])/7128 - 
       (357786505*s[21])/14256 + (87027137*s[22])/4752 + 
       (89801587*s[23])/2376 + (91012601*s[24])/2376 - 
       (3090312491*s[25])/64152 + (1700761019*s[26])/64152 + (5*s[28])/3 + 
       6*s[29] + s[30]/6 + 5*s[31] - (97*s[32])/6 - (257*s[33])/24 + 
       (35*s[34])/6 - 9*s[35] - (613*s[36])/9 + (973*s[37])/18 + 
       (3505*s[38])/3 - (26965*s[39])/6 + (93905*s[40])/18 - 
       (12536*s[41])/3 + (115789*s[42])/18 + (851791*s[43])/198 - 
       (3561229*s[44])/792 + (1993985*s[45])/396 - (15182461*s[46])/396 + 
       (2617331*s[47])/2376 + (3544895*s[48])/2376 - (46146557*s[49])/2376 + 
       (2946785*s[50])/99 + (10865203*s[51])/2376 + (8526433*s[52])/2376 - 
       (12033841*s[53])/594 - (3802*s[54])/99 - (103140041*s[55])/792 - 
       (27097313*s[56])/792 + (35859011*s[57])/1188 - 
       (139488007*s[58])/2376 + (46905443*s[59])/792 + 
       (4557824921*s[60])/14256 - (1067861149*s[61])/64152 - 8*s[63] + 
       (10*s[65])/3 + 12*s[66] - 12*s[67] - 12*s[68] - 18*s[69] + 
       (166*s[70])/3 - (28*s[71])/3 - (2*s[72])/3 - 2*s[73] - (85*s[74])/6 + 
       (97*s[75])/6 - 8*s[76] - 75*s[77] - (62*s[78])/3 + (1796*s[79])/3 - 
       (1229*s[80])/9 + 784*s[82] - 10*s[83] + 296*s[84] + 224*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((283*s[2])/12 + (2569*s[3])/24 + (14401*s[4])/48 + (39445*s[5])/66 + 
       (614965*s[6])/528 + (100142147*s[7])/9504 - (8326375*s[8])/14256 - 
       (5777725*s[9])/648 - (2419187*s[10])/648 - (105695455*s[11])/9504 - 
       (53526745*s[12])/4752 - (61098767*s[13])/9504 - 
       (30506785*s[14])/9504 - (13444573*s[15])/864 - (44605685*s[16])/2376 - 
       (52588951*s[17])/3168 - (1833187*s[18])/972 - (8096621*s[19])/3888 - 
       (990684803*s[20])/42768 - (747361303*s[21])/85536 + 
       (465153479*s[22])/85536 + (31591331*s[23])/4752 + 
       (546773599*s[24])/42768 - (1278761981*s[25])/96228 + 
       (777747191*s[26])/96228 - (20*s[30])/3 + (7*s[31])/3 + (7*s[32])/2 + 
       (343*s[33])/24 + 8*s[34] + (169*s[35])/6 + (299*s[36])/18 - 
       (2737*s[37])/36 + (1001*s[38])/6 - (1065*s[39])/2 + (5963*s[40])/9 - 
       (6641*s[41])/12 + (11375*s[42])/18 + (98185*s[43])/99 - 
       (1305967*s[44])/1584 + (1460845*s[45])/792 - (2820397*s[46])/264 - 
       (1389217*s[47])/4752 + (5595959*s[48])/4752 - (21087227*s[49])/4752 + 
       (3412819*s[50])/396 + (1875865*s[51])/4752 + (1183279*s[52])/4752 - 
       (2493233*s[53])/396 - (23167*s[54])/44 - (66862577*s[55])/1584 - 
       (48381265*s[56])/4752 - (44464081*s[57])/7128 - 
       (538968425*s[58])/42768 + (575766419*s[59])/42768 + 
       (2715115175*s[60])/28512 - (2137150955*s[61])/384912 + 12*s[70] - 
       (10*s[71])/3 + (5*s[72])/3 + 5*s[73] + (29*s[74])/4 - (97*s[75])/12 - 
       (5*s[76])/3 - (77*s[77])/6 + (5*s[78])/3 - 20*s[79] + (293*s[80])/18 + 
       1075*s[82] - 5*s[83] - 6*s[84] + 228*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((193*s[2])/12 + (939*s[3])/8 + (10259*s[4])/48 + (155471*s[5])/264 + 
       (635725*s[6])/528 + (89981627*s[7])/9504 - (251633*s[8])/528 - 
       (576193*s[9])/72 - (40235*s[10])/12 - (31579385*s[11])/3168 - 
       (5269679*s[12])/528 - (54516355*s[13])/9504 - (10496159*s[14])/3168 - 
       (12006797*s[15])/864 - (20087207*s[16])/1188 - 
       (145022225*s[17])/9504 - (556541*s[18])/324 - (2360407*s[19])/1296 - 
       (298571971*s[20])/14256 - (228857089*s[21])/28512 + 
       (1706641*s[22])/352 + (25316881*s[23])/4752 + (54500521*s[24])/4752 - 
       (755172991*s[25])/64152 + (234601007*s[26])/32076 - (29*s[30])/6 - 
       (2*s[31])/3 + 5*s[32] + (29*s[33])/4 + (39*s[34])/2 + (169*s[35])/6 + 
       (299*s[36])/18 - (2737*s[37])/36 + (1001*s[38])/6 - (1065*s[39])/2 + 
       (5963*s[40])/9 - (6641*s[41])/12 + (11375*s[42])/18 + 
       (98185*s[43])/99 - (1305967*s[44])/1584 + (1460845*s[45])/792 - 
       (2820397*s[46])/264 - (1389217*s[47])/4752 + (5595959*s[48])/4752 - 
       (21087227*s[49])/4752 + (3412819*s[50])/396 + (1875865*s[51])/4752 + 
       (1183279*s[52])/4752 - (2493233*s[53])/396 - (23167*s[54])/44 - 
       (66862577*s[55])/1584 - (48381265*s[56])/4752 - 
       (44464081*s[57])/7128 - (538968425*s[58])/42768 + 
       (575766419*s[59])/42768 + (2715115175*s[60])/28512 - 
       (2137150955*s[61])/384912 + 12*s[70] - (10*s[71])/3 + (5*s[72])/3 + 
       5*s[73] + (29*s[74])/4 - (97*s[75])/12 - (5*s[76])/3 - (77*s[77])/6 + 
       (5*s[78])/3 - 20*s[79] + (293*s[80])/18 + 1075*s[82] - 5*s[83] - 
       6*s[84] + 228*s[85]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((157*s[2])/6 + (133*s[3])/3 + (29495*s[4])/12 + 
       (296859*s[5])/176 + (2319095*s[6])/528 + (94334947*s[7])/2376 - 
       (45345029*s[8])/14256 - (43517851*s[9])/1296 - (13442195*s[10])/1296 - 
       (208445773*s[11])/4752 - (229507085*s[12])/4752 - 
       (69082081*s[13])/2376 - (23878339*s[14])/4752 - (22456165*s[15])/432 - 
       (316894271*s[16])/4752 - (40013329*s[17])/792 - 
       (14101765*s[18])/1944 - (22688047*s[19])/3888 - 
       (3379875979*s[20])/42768 - (1213920781*s[21])/42768 + 
       (112055365*s[22])/5346 + (108051143*s[23])/2376 + 
       (1859443373*s[24])/42768 - (43021526921*s[25])/769824 + 
       (23462770193*s[26])/769824 - 9*s[30] + 4*s[31] + (17*s[32])/4 - 
       (69*s[33])/4 - (8*s[34])/3 - 12*s[35] - (593*s[36])/9 + 
       (7003*s[37])/72 + (17491*s[38])/12 - (33731*s[39])/6 + 
       (115051*s[40])/18 - (40449*s[41])/8 + (579551*s[42])/72 + 
       (500881*s[43])/99 - (16993187*s[44])/3168 + (9173843*s[45])/1584 - 
       (23817803*s[46])/528 + (16444597*s[47])/9504 + (11781565*s[48])/9504 - 
       (218671135*s[49])/9504 + (13744897*s[50])/396 + 
       (53824325*s[51])/9504 + (43159595*s[52])/9504 - 
       (37467581*s[53])/1584 + (85733*s[54])/132 - (478393451*s[55])/3168 - 
       (382810049*s[56])/9504 + (579369973*s[57])/14256 - 
       (6028616587*s[58])/85536 + (6048529771*s[59])/85536 + 
       (21233643103*s[60])/57024 - (939490615*s[61])/48114 + 4*s[62] - 
       s[64] + (3*s[65])/2 + (7*s[66])/3 - (4*s[67])/3 - (11*s[68])/3 + 
       s[69] + (107*s[70])/3 - (89*s[71])/12 + 8*s[72] - 6*s[73] - 
       (47*s[74])/2 + 22*s[75] - (43*s[76])/3 - (142*s[77])/3 - 
       (41*s[78])/3 + (1865*s[79])/3 - (5219*s[80])/36 - s[81]/6 + 
       649*s[82] - (23*s[83])/2 + 312*s[84] + 232*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*((196*s[2])/9 + (4003*s[3])/72 + (40345*s[4])/16 + 
       (466823*s[5])/264 + (582319*s[6])/132 + (24370889*s[7])/594 - 
       (140635031*s[8])/42768 - (67501331*s[9])/1944 - 
       (42202307*s[10])/3888 - (1288077035*s[11])/28512 - 
       (1412223115*s[12])/28512 - (211891943*s[13])/7128 - 
       (17947087*s[14])/3564 - (17580329*s[15])/324 - 
       (984654379*s[16])/14256 - (1503985877*s[17])/28512 - 
       (87078053*s[18])/11664 - (72080257*s[19])/11664 - 
       (5238819125*s[20])/64152 - (3769147615*s[21])/128304 + 
       (1388733943*s[22])/64152 + (1348414459*s[23])/28512 + 
       (11515357561*s[24])/256608 - (132950317781*s[25])/2309472 + 
       (72594981605*s[26])/2309472 + (44*s[30])/9 + (10*s[31])/3 - 
       (25*s[32])/18 - (605*s[33])/72 - (65*s[34])/6 - (100*s[35])/3 - 
       (4879*s[36])/54 + (431*s[37])/4 + (28757*s[38])/18 - 
       (449233*s[39])/72 + (1524175*s[40])/216 - (134261*s[41])/24 + 
       (1924673*s[42])/216 + (13552445*s[43])/2376 - (1789822*s[44])/297 + 
       (5210681*s[45])/792 - (30259877*s[46])/594 + (25574669*s[47])/14256 + 
       (20041493*s[48])/14256 - (372451307*s[49])/14256 + 
       (93808307*s[50])/2376 + (88453207*s[51])/14256 + 
       (34716893*s[52])/7128 - (193491061*s[53])/7128 + (295445*s[54])/1188 - 
       (822309937*s[55])/4752 - (641791253*s[56])/14256 + 
       (879421723*s[57])/21384 - (10009004323*s[58])/128304 + 
       (10160667391*s[59])/128304 + (36099400859*s[60])/85536 - 
       (25426440535*s[61])/1154736 - (20*s[68])/3 + (17*s[69])/3 + 
       (28*s[70])/3 - (41*s[71])/6 + 18*s[72] - (13*s[73])/3 - (77*s[74])/3 + 
       (157*s[75])/6 - 8*s[76] - (142*s[77])/9 + (79*s[78])/9 + 
       (5756*s[79])/9 - (2671*s[80])/18 + (5239*s[82])/6 + (5*s[83])/2 + 
       256*s[84] + 240*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*((379*s[2])/12 + 89*s[3] + 
       1644*s[4] + (359611*s[5])/264 + (884371*s[6])/264 + 
       (47475211*s[7])/1584 - (2047726*s[8])/891 - (8211827*s[9])/324 - 
       (1367945*s[10])/162 - (155370491*s[11])/4752 - (10480774*s[12])/297 - 
       (99938669*s[13])/4752 - (23186885*s[14])/4752 - (17478589*s[15])/432 - 
       (60698747*s[16])/1188 - (191992067*s[17])/4752 - (1335244*s[18])/243 - 
       (9045883*s[19])/1944 - (162599900*s[20])/2673 - 
       (949148777*s[21])/42768 + (673001509*s[22])/42768 + 
       (18717587*s[23])/594 + (178305569*s[24])/5346 - 
       (15833452703*s[25])/384912 + (8851278965*s[26])/384912 + s[30] + 
       6*s[31] - (11*s[32])/12 + (13*s[34])/3 - (38*s[35])/3 - 
       (431*s[36])/9 + (749*s[37])/18 + (2692*s[38])/3 - 3685*s[39] + 
       (37853*s[40])/9 - (10090*s[41])/3 + (47416*s[42])/9 + 
       (351874*s[43])/99 - (2920799*s[44])/792 + (1762285*s[45])/396 - 
       (13084703*s[46])/396 + (2169589*s[47])/2376 + (2862061*s[48])/2376 - 
       (38484205*s[49])/2376 + (5098667*s[50])/198 + (8655707*s[51])/2376 + 
       (6743039*s[52])/2376 - (21270229*s[53])/1188 + (15119*s[54])/198 - 
       (90877663*s[55])/792 - (2629461*s[56])/88 + (12519079*s[57])/594 - 
       (351053587*s[58])/7128 + (357308779*s[59])/7128 + 
       (3926731129*s[60])/14256 - (158739131*s[61])/10692 + (26*s[70])/3 - 
       2*s[71] + 12*s[72] + 2*s[73] - (37*s[74])/3 + (37*s[75])/3 - 8*s[76] - 
       (31*s[77])/3 + (20*s[78])/3 + 362*s[79] - (877*s[80])/9 + 948*s[82] - 
       2*s[83] + 154*s[84] + 244*s[85]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*((737*s[2])/18 - 
       (290*s[3])/9 + (18644*s[4])/9 + (2457277*s[5])/1584 + 
       (6226921*s[6])/1584 + (256624543*s[7])/7128 - (40509493*s[8])/14256 - 
       (39641915*s[9])/1296 - (12619009*s[10])/1296 - (93900875*s[11])/2376 - 
       (102555941*s[12])/2376 - (92103403*s[13])/3564 - 
       (25149295*s[14])/4752 - (61744397*s[15])/1296 - 
       (865550935*s[16])/14256 - (666297701*s[17])/14256 - 
       (12806197*s[18])/1944 - (20338801*s[19])/3888 - 
       (3102157309*s[20])/42768 - (124718375*s[21])/4752 + 
       (203843611*s[22])/10692 + (563532107*s[23])/14256 + 
       (845987471*s[24])/21384 - (12817035383*s[25])/256608 + 
       (7084741091*s[26])/256608 - s[30]/9 + (86*s[31])/9 - (29*s[32])/36 - 
       (55*s[33])/12 - (64*s[34])/9 - (13*s[35])/2 - (7261*s[36])/108 + 
       (23137*s[37])/216 + (11057*s[38])/9 - (237613*s[39])/48 + 
       (2454745*s[40])/432 - (649595*s[41])/144 + (3100349*s[42])/432 + 
       (21152099*s[43])/4752 - (5680847*s[44])/1188 + (24275915*s[45])/4752 - 
       (95355539*s[46])/2376 + (10975091*s[47])/7128 + 
       (13542673*s[48])/14256 - (144247187*s[49])/7128 + 
       (36933089*s[50])/1188 + (72141359*s[51])/14256 + 
       (56743397*s[52])/14256 - (302504819*s[53])/14256 + 
       (313975*s[54])/594 - (214576271*s[55])/1584 - (10696036*s[56])/297 + 
       (506925761*s[57])/14256 - (445672499*s[58])/7128 + 
       (897174347*s[59])/14256 + (28364545831*s[60])/85536 - 
       (13427309767*s[61])/769824 + (9*s[62])/2 + s[64] + s[65]/2 + 
       (5*s[66])/3 - (11*s[67])/3 + (5*s[68])/3 - 9*s[69] + 31*s[70] - 
       (53*s[71])/12 + (37*s[72])/3 - (181*s[73])/18 - (247*s[74])/12 + 
       (229*s[75])/12 - 11*s[76] - (689*s[77])/18 - (193*s[78])/18 + 
       662*s[79] - (20255*s[80])/108 - s[81]/6 + 815*s[82] - (37*s[83])/3 + 
       277*s[84] + (736*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1}, 1 - u]*((62*s[2])/3 + (181*s[3])/2 + 82*s[4] + 
       (22727*s[5])/48 + (15147*s[6])/16 + (1106909*s[7])/144 - 
       (147113*s[8])/432 - (2811347*s[9])/432 - (1307665*s[10])/432 - 
       (1156243*s[11])/144 - (570949*s[12])/72 - (628427*s[13])/144 - 
       (464329*s[14])/144 - (91785*s[15])/8 - (253171*s[16])/18 - 
       (155473*s[17])/12 - (1845961*s[18])/1296 - (508931*s[19])/324 - 
       (11510969*s[20])/648 - (4379753*s[21])/648 + (5123315*s[22])/1296 + 
       (399319*s[23])/144 + (12543629*s[24])/1296 - (215717591*s[25])/23328 + 
       (136973351*s[26])/23328 + 5*s[32] + (211*s[33])/24 + (143*s[34])/6 + 
       (139*s[35])/6 + (73*s[36])/18 - (4465*s[37])/72 + (223*s[38])/4 - 
       (5825*s[39])/24 + (27299*s[40])/72 - (4105*s[41])/12 + 
       (4267*s[42])/18 + (600517*s[43])/792 - (1115273*s[44])/1584 + 
       (2434615*s[45])/1584 - (4618549*s[46])/528 - (2228909*s[47])/4752 + 
       (6558001*s[48])/4752 - (17741941*s[49])/4752 + (2892323*s[50])/396 + 
       (503939*s[51])/4752 - (294565*s[52])/4752 - (919459*s[53])/176 - 
       (231659*s[54])/264 - (6225891*s[55])/176 - (39402785*s[56])/4752 - 
       (64881989*s[57])/7128 - (193370567*s[58])/21384 + 
       (415849033*s[59])/42768 + (72384428*s[60])/891 - 
       (3558092507*s[61])/769824 + s[62]/4 + 20*s[70] + (15*s[71])/4 + 
       (13*s[74])/3 - (13*s[75])/3 - 4*s[76] - 20*s[77] - (16*s[79])/3 - 
       (949*s[80])/36 + 1352*s[82] + 12*s[84] + 248*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[v, w, u]*
      ((64*s[2])/3 + (128*s[3])/3 + (1280*s[4])/3 + (17008*s[5])/33 + 
       (11892*s[6])/11 + (3508936*s[7])/297 - (634364*s[8])/891 - 
       (817852*s[9])/81 - (344840*s[10])/81 - (3774022*s[11])/297 - 
       (3901478*s[12])/297 - (748636*s[13])/99 - (858268*s[14])/297 - 
       17080*s[15] - (2081744*s[16])/99 - (5325350*s[17])/297 - 
       (403040*s[18])/243 - (679432*s[19])/243 - (68306992*s[20])/2673 - 
       (24160120*s[21])/2673 + (16708160*s[22])/2673 + (651638*s[23])/99 + 
       (39610742*s[24])/2673 - (373877590*s[25])/24057 + 
       (209837506*s[26])/24057 + (32*s[32])/3 + (32*s[33])/3 - 
       (128*s[35])/3 - (128*s[36])/9 - (496*s[37])/9 + (704*s[38])/3 - 
       (2608*s[39])/3 + (9488*s[40])/9 - 944*s[41] + (9952*s[42])/9 + 
       (131200*s[43])/99 - (130984*s[44])/99 + (193040*s[45])/99 - 
       (419504*s[46])/33 - (85324*s[47])/297 + (454556*s[48])/297 - 
       (1978832*s[49])/297 + (1073848*s[50])/99 + (243904*s[51])/297 + 
       (82840*s[52])/297 - (81240*s[53])/11 - (68536*s[54])/33 - 
       (4795324*s[55])/99 - (3098248*s[56])/297 - (5187800*s[57])/891 - 
       (39373568*s[58])/2673 + (42166304*s[59])/2673 + 
       (104990620*s[60])/891 - (136165928*s[61])/24057 + (128*s[70])/3 - 
       (128*s[77])/3 + (256*s[79])/3 - (128*s[80])/9 + 1440*s[82] + 
       256*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((191*s[2])/6 + (155*s[3])/3 + 
       (87541*s[4])/24 + (252509*s[5])/99 + (2590733*s[6])/396 + 
       (211632943*s[7])/3564 - (51625955*s[8])/10692 - (48785059*s[9])/972 - 
       (30491053*s[10])/1944 - (930258781*s[11])/14256 - 
       (1018187051*s[12])/14256 - (12747511*s[13])/297 - 
       (26740537*s[14])/3564 - (1416907*s[15])/18 - (237723115*s[16])/2376 - 
       (1094676179*s[17])/14256 - (63220663*s[18])/5832 - 
       (25575679*s[19])/2916 - (947061325*s[20])/8019 - 
       (2736635525*s[21])/64152 + (2007511255*s[22])/64152 + 
       (325901303*s[23])/4752 + (8316542327*s[24])/128304 - 
       (47973208493*s[25])/577368 + (3287942656*s[26])/72171 + 
       (113*s[30])/18 + 4*s[31] - (11*s[32])/2 - (1705*s[33])/72 - 
       (85*s[34])/18 - (167*s[35])/3 - (1184*s[36])/9 + (3527*s[37])/18 + 
       2032*s[38] - (32897*s[39])/4 + (334913*s[40])/36 - (29399*s[41])/4 + 
       (427615*s[42])/36 + (2906395*s[43])/396 - (6155465*s[44])/792 + 
       (829837*s[45])/99 - (26112425*s[46])/396 + (1554073*s[47])/594 + 
       (384386*s[48])/297 - (79032199*s[49])/2376 + (20129719*s[50])/396 + 
       (19549583*s[51])/2376 + (15622235*s[52])/2376 - (20813687*s[53])/594 + 
       (496327*s[54])/396 - (88227463*s[55])/396 - (46807153*s[56])/792 + 
       (69368725*s[57])/1188 - (243771113*s[58])/2376 + 
       (82157135*s[59])/792 + (7718669923*s[60])/14256 - 
       (918182365*s[61])/32076 - 2*s[68] + (8*s[70])/3 - 4*s[71] + 26*s[72] - 
       4*s[73] - (69*s[74])/2 + (209*s[75])/6 - 2*s[76] - 7*s[77] + 
       (52*s[78])/3 + 916*s[79] - (2320*s[80])/9 + 836*s[82] + (11*s[83])/2 + 
       327*s[84] + 256*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[v, w, u]*
      ((128*s[2])/3 + (560*s[3])/3 + (14128*s[4])/3 + (110840*s[5])/33 + 
       (281056*s[6])/33 + (2463844*s[7])/33 - (71112*s[8])/11 - 
       (188552*s[9])/3 - 18808*s[10] - (900244*s[11])/11 - 
       (2964700*s[12])/33 - (591428*s[13])/11 - (299636*s[14])/33 - 
       98668*s[15] - (4132520*s[16])/33 - (3165748*s[17])/33 - 
       (130516*s[18])/9 - (87812*s[19])/9 - (14615720*s[20])/99 - 
       (5314076*s[21])/99 + (3873512*s[22])/99 + (1020208*s[23])/11 + 
       (2616716*s[24])/33 - (31028788*s[25])/297 + (17089000*s[26])/297 + 
       (32*s[30])/3 + (64*s[31])/3 - 16*s[32] - 16*s[33] + (64*s[35])/3 - 
       (1168*s[36])/9 + (3296*s[37])/9 + (7216*s[38])/3 - (31396*s[39])/3 + 
       (105724*s[40])/9 - (27100*s[41])/3 + (139268*s[42])/9 + 
       (830372*s[43])/99 - (910868*s[44])/99 + (976904*s[45])/99 - 
       (7807876*s[46])/99 + (1325284*s[47])/297 - (222416*s[48])/297 - 
       (11229868*s[49])/297 + (5899616*s[50])/99 + (3208232*s[51])/297 + 
       (2624672*s[52])/297 - (12424196*s[53])/297 + (457136*s[54])/99 - 
       (8698304*s[55])/33 - (800524*s[56])/11 + (25857220*s[57])/297 - 
       (114050920*s[58])/891 + (114150688*s[59])/891 + 
       (560055794*s[60])/891 - (93448852*s[61])/2673 + (64*s[68])/3 - 
       (64*s[69])/3 - (128*s[70])/3 + (16*s[71])/3 + (128*s[72])/3 - 
       (160*s[74])/3 + (160*s[75])/3 - (128*s[76])/3 + (128*s[77])/3 + 
       (128*s[78])/3 + (3520*s[79])/3 - (3776*s[80])/9 + 896*s[82] + 
       512*s[84] + 256*s[85]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((263*s[2])/12 + (5035*s[3])/72 + 
       (418937*s[4])/144 + (707059*s[5])/396 + (7771649*s[6])/1584 + 
       (317586557*s[7])/7128 - (2199239*s[8])/594 - (16233685*s[9])/432 - 
       (5003731*s[10])/432 - (233566699*s[11])/4752 - (85705501*s[12])/1584 - 
       (233065387*s[13])/7128 - (5809273*s[14])/1188 - (37965635*s[15])/648 - 
       (1067404643*s[16])/14256 - (809132989*s[17])/14256 - 
       (31266299*s[18])/3888 - (25696879*s[19])/3888 - 
       (939520165*s[20])/10692 - (1343462267*s[21])/42768 + 
       (167457017*s[22])/7128 + (757729345*s[23])/14256 + 
       (690098183*s[24])/14256 - (1514982446*s[25])/24057 + 
       (13125328373*s[26])/384912 + 15*s[29] + (133*s[30])/18 + 
       (74*s[31])/9 - (53*s[32])/12 - (37*s[33])/24 - (41*s[34])/9 - 
       (79*s[35])/6 - (10481*s[36])/108 + (27917*s[37])/216 + 
       (13927*s[38])/9 - (297113*s[39])/48 + (3046805*s[40])/432 - 
       (805855*s[41])/144 + (3870409*s[42])/432 + (26264119*s[43])/4752 - 
       (28103263*s[44])/4752 + (29467435*s[45])/4752 - 
       (116858629*s[46])/2376 + (27827417*s[47])/14256 + 
       (1914751*s[48])/1782 - (357866999*s[49])/14256 + 
       (11292361*s[50])/297 + (44647277*s[51])/7128 + (17707963*s[52])/3564 - 
       (370421779*s[53])/14256 + (794725*s[54])/1188 - 
       (131014903*s[55])/792 - (208500601*s[56])/4752 + 
       (71297599*s[57])/1584 - (3290532979*s[58])/42768 + 
       (207433696*s[59])/2673 + (17333082553*s[60])/42768 - 
       (16322522497*s[61])/769824 + (9*s[62])/2 + s[64] + s[65]/2 - 
       (5*s[66])/3 - s[67]/3 - (5*s[68])/3 + s[69] + (83*s[70])/3 - 
       (73*s[71])/12 + 19*s[72] - (221*s[73])/18 - (109*s[74])/4 + 
       (103*s[75])/4 - (43*s[76])/3 - (709*s[77])/18 + (7*s[78])/18 + 
       (2276*s[79])/3 - (21355*s[80])/108 - s[81]/6 + 735*s[82] - 
       (79*s[83])/6 + 322*s[84] + (776*s[85])/3) + 
     HPL[{0, 1}, 1 - u]*Qep[u, w, v]*((-160*s[2])/9 + (2576*s[3])/9 + 
       (70048*s[4])/9 + (463124*s[5])/99 + (1219012*s[6])/99 + 
       (33633674*s[7])/297 - (2872400*s[8])/297 - (2574376*s[9])/27 - 
       (758816*s[10])/27 - (12355910*s[11])/99 - (13646524*s[12])/99 - 
       (24767290*s[13])/297 - (1058594*s[14])/99 - (4006010*s[15])/27 - 
       (56023060*s[16])/297 - (42130010*s[17])/297 - (61040*s[18])/3 - 
       (448544*s[19])/27 - (21845732*s[20])/99 - (69226550*s[21])/891 + 
       (53073638*s[22])/891 + (41575136*s[23])/297 + (108592184*s[24])/891 - 
       (1294929362*s[25])/8019 + (689794958*s[26])/8019 + (160*s[30])/9 - 
       (64*s[31])/9 - (80*s[32])/9 - (632*s[33])/9 - (224*s[34])/9 - 
       (896*s[35])/9 - (2944*s[36])/9 + (4520*s[37])/9 + (12880*s[38])/3 - 
       (150944*s[39])/9 + 18912*s[40] - (133720*s[41])/9 + (217160*s[42])/9 + 
       (164608*s[43])/11 - (518678*s[44])/33 + (1747252*s[45])/99 - 
       (1488860*s[46])/11 + (58074*s[47])/11 + (262010*s[48])/99 - 
       (6614974*s[49])/99 + (3424720*s[50])/33 + (187834*s[51])/11 + 
       (1364326*s[52])/99 - (21445636*s[53])/297 + (490384*s[54])/99 - 
       (136135270*s[55])/297 - (36242150*s[56])/297 + (102730076*s[57])/891 - 
       (559955410*s[58])/2673 + (565160578*s[59])/2673 + 
       (328774999*s[60])/297 - (1417383976*s[61])/24057 + (64*s[66])/3 - 
       (64*s[67])/3 - (64*s[68])/3 - (64*s[69])/3 - (80*s[71])/3 + 
       (256*s[72])/9 - (736*s[74])/9 + (736*s[75])/9 - (448*s[76])/9 - 
       (448*s[78])/9 + 1728*s[79] - (2896*s[80])/9 + 448*s[82] + 
       (128*s[83])/3 + (3008*s[84])/3 + (896*s[85])/3) + 
     HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((127*s[2])/2 - (389*s[3])/4 + (27399*s[4])/8 + (131685*s[5])/44 + 
       (609885*s[6])/88 + (33969527*s[7])/528 - (11133439*s[8])/2376 - 
       (1486261*s[9])/27 - (474182*s[10])/27 - (112387597*s[11])/1584 - 
       (61406425*s[12])/792 - (74216413*s[13])/1584 - (15725071*s[14])/1584 - 
       (12173375*s[15])/144 - (42818179*s[16])/396 - (131189551*s[17])/1584 - 
       (3779879*s[18])/324 - (6252311*s[19])/648 - (925243343*s[20])/7128 - 
       (676726681*s[21])/14256 + (487593305*s[22])/14256 + 
       (53689051*s[23])/792 + (510351085*s[24])/7128 - 
       (5731881917*s[25])/64152 + (3187419539*s[26])/64152 + 6*s[29] - 
       6*s[30] + 12*s[31] + 2*s[32] - (47*s[33])/4 + 6*s[34] - 39*s[35] - 
       126*s[36] + (1631*s[37])/6 + 2358*s[38] - (35411*s[39])/4 + 
       (40659*s[40])/4 - (31459*s[41])/4 + (49981*s[42])/4 + 
       (360253*s[43])/44 - (752755*s[44])/88 + (1151065*s[45])/132 - 
       (2274301*s[46])/33 + (681797*s[47])/264 + (557783*s[48])/264 - 
       (9701435*s[49])/264 + (583964*s[50])/11 + (766697*s[51])/88 + 
       (1891921*s[52])/264 - (14060231*s[53])/396 + (28757*s[54])/33 - 
       (60159311*s[55])/264 - (47723087*s[56])/792 + (19394434*s[57])/297 - 
       (772352269*s[58])/7128 + (775181167*s[59])/7128 + 
       (303846841*s[60])/528 - (1867671931*s[61])/64152 - 4*s[64] + 3*s[65] + 
       24*s[66] - 6*s[67] - 36*s[69] + 20*s[70] - 3*s[71] + 2*s[72] - 
       10*s[73] - (27*s[74])/2 + (17*s[75])/2 - 6*s[76] + 5*s[77] - 
       72*s[78] + 1180*s[79] - (1153*s[80])/3 + 1236*s[82] - 33*s[83] + 
       258*s[84] + 336*s[85]) + HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v]*((-11*s[2])/2 + (1081*s[3])/4 + 
       (35039*s[4])/8 + (41529*s[5])/22 + (566447*s[6])/88 + 
       (31443595*s[7])/528 - (12491299*s[8])/2376 - (5374231*s[9])/108 - 
       (402377*s[10])/27 - (105594121*s[11])/1584 - (59304163*s[12])/792 - 
       (72706813*s[13])/1584 - (5981215*s[14])/1584 - (10992635*s[15])/144 - 
       (39266749*s[16])/396 - (113802091*s[17])/1584 - (3193211*s[18])/324 - 
       (6378515*s[19])/648 - (817119329*s[20])/7128 - 
       (561540229*s[21])/14256 + (447150101*s[22])/14256 + 
       (57220027*s[23])/792 + (472463347*s[24])/7128 - 
       (5589084287*s[25])/64152 + (2909667863*s[26])/64152 + 3*s[30] - 
       12*s[31] + 8*s[32] - (13*s[33])/2 + 29*s[34] - 39*s[35] - 126*s[36] + 
       (1631*s[37])/6 + 2358*s[38] - (35411*s[39])/4 + (40659*s[40])/4 - 
       (31459*s[41])/4 + (49981*s[42])/4 + (360253*s[43])/44 - 
       (752755*s[44])/88 + (1151065*s[45])/132 - (2274301*s[46])/33 + 
       (681797*s[47])/264 + (557783*s[48])/264 - (9701435*s[49])/264 + 
       (583964*s[50])/11 + (766697*s[51])/88 + (1891921*s[52])/264 - 
       (14060231*s[53])/396 + (28757*s[54])/33 - (60159311*s[55])/264 - 
       (47723087*s[56])/792 + (19394434*s[57])/297 - (772352269*s[58])/7128 + 
       (775181167*s[59])/7128 + (303846841*s[60])/528 - 
       (1867671931*s[61])/64152 - 4*s[64] + 3*s[65] + 24*s[66] - 6*s[67] - 
       36*s[69] + 20*s[70] - 3*s[71] + 2*s[72] - 10*s[73] - (27*s[74])/2 + 
       (17*s[75])/2 - 6*s[76] + 5*s[77] - 72*s[78] + 1180*s[79] - 
       (1153*s[80])/3 + 1236*s[82] - 33*s[83] + 258*s[84] + 336*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]^2*((181*s[2])/4 + (1483*s[3])/8 + 
       (40815*s[4])/16 + (169695*s[5])/88 + (851955*s[6])/176 + 
       (46483625*s[7])/1056 - (16176799*s[8])/4752 - (8024011*s[9])/216 - 
       (1321075*s[10])/108 - (153638929*s[11])/3168 - (41860271*s[12])/792 - 
       (100446007*s[13])/3168 - (19679413*s[14])/3168 - 
       (16868633*s[15])/288 - (29625011*s[16])/396 - (183612331*s[17])/3168 - 
       (1288391*s[18])/162 - (9191015*s[19])/1296 - (1261982039*s[20])/
        14256 - (913597243*s[21])/28512 + (660197147*s[22])/28512 + 
       (37691759*s[23])/792 + (349747139*s[24])/7128 - 
       (3936393001*s[25])/64152 + (2167470163*s[26])/64152 - s[30] + 
       7*s[31] + (29*s[32])/4 - (27*s[33])/8 + 3*s[34] - 23*s[35] - 
       (172*s[36])/3 + (245*s[37])/6 + (4559*s[38])/4 - (8787*s[39])/2 + 
       (15025*s[40])/3 - (31675*s[41])/8 + (147781*s[42])/24 + 
       (12301*s[43])/3 - (212203*s[44])/48 + (120557*s[45])/24 - 
       (905269*s[46])/24 + (157907*s[47])/144 + (211175*s[48])/144 - 
       (2779433*s[49])/144 + (705965*s[50])/24 + (617137*s[51])/144 + 
       (484063*s[52])/144 - (179806*s[53])/9 - (17317*s[54])/24 - 
       (6170389*s[55])/48 - (1603553*s[56])/48 + (1013491*s[57])/36 - 
       (8263657*s[58])/144 + (926633*s[59])/16 + (272841605*s[60])/864 - 
       (65056405*s[61])/3888 - s[64] - (3*s[65])/4 + s[66] + s[67] + s[69] + 
       (63*s[70])/2 + (3*s[71])/4 - s[72] - 15*s[73] - (69*s[74])/4 + 
       (59*s[75])/4 - (13*s[76])/2 - 37*s[77] - s[78] + 420*s[79] - 
       (392*s[80])/3 + 1394*s[82] + (3*s[83])/2 + 201*s[84] + 340*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]^2*((111*s[2])/4 + (481*s[3])/8 + 
       (21559*s[4])/16 + (45761*s[5])/44 + (452601*s[6])/176 + 
       (76400651*s[7])/3168 - (8601515*s[8])/4752 - (4404971*s[9])/216 - 
       (1478527*s[10])/216 - (84312653*s[11])/3168 - (22995817*s[12])/792 - 
       (18240313*s[13])/1056 - (11418005*s[14])/3168 - (3074603*s[15])/96 - 
       (3619119*s[16])/88 - (100729111*s[17])/3168 - (2810719*s[18])/648 - 
       (5140993*s[19])/1296 - (698403751*s[20])/14256 - 
       (505195187*s[21])/28512 + (362994583*s[22])/28512 + 
       (6650147*s[23])/264 + (24225617*s[24])/891 - (1074824497*s[25])/
        32076 + (593810893*s[26])/32076 + s[28]/4 - s[30]/2 - (3*s[31])/2 + 
       3*s[32] - (47*s[33])/4 + 12*s[34] - 23*s[35] - (172*s[36])/3 + 
       (245*s[37])/6 + (4559*s[38])/4 - (8787*s[39])/2 + (15025*s[40])/3 - 
       (31675*s[41])/8 + (147781*s[42])/24 + (12301*s[43])/3 - 
       (212203*s[44])/48 + (120557*s[45])/24 - (905269*s[46])/24 + 
       (157907*s[47])/144 + (211175*s[48])/144 - (2779433*s[49])/144 + 
       (705965*s[50])/24 + (617137*s[51])/144 + (484063*s[52])/144 - 
       (179806*s[53])/9 - (17317*s[54])/24 - (6170389*s[55])/48 - 
       (1603553*s[56])/48 + (1013491*s[57])/36 - (8263657*s[58])/144 + 
       (926633*s[59])/16 + (272841605*s[60])/864 - (65056405*s[61])/3888 - 
       s[64] - (3*s[65])/4 + s[66] + s[67] + s[69] + (63*s[70])/2 + 
       (3*s[71])/4 - s[72] - 15*s[73] - (69*s[74])/4 + (59*s[75])/4 - 
       (13*s[76])/2 - 37*s[77] - s[78] + 420*s[79] - (392*s[80])/3 + 
       1394*s[82] + (3*s[83])/2 + 201*s[84] + 340*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[u, v, w]*((256*s[2])/9 + 
       (272*s[3])/3 + (1192*s[4])/3 + (61376*s[5])/99 + (44372*s[6])/33 + 
       (1293844*s[7])/99 - (687988*s[8])/891 - (899204*s[9])/81 - 
       (388768*s[10])/81 - (4107122*s[11])/297 - (4181314*s[12])/297 - 
       (2354048*s[13])/297 - (1133540*s[14])/297 - (57668*s[15])/3 - 
       (6955136*s[16])/297 - (6092198*s[17])/297 - (524380*s[18])/243 - 
       (676268*s[19])/243 - (77048132*s[20])/2673 - (28247336*s[21])/2673 + 
       (18210400*s[22])/2673 + (2159326*s[23])/297 + (42949606*s[24])/2673 - 
       (398695214*s[25])/24057 + (236203778*s[26])/24057 + (32*s[32])/3 + 
       (160*s[33])/9 + (128*s[34])/9 - (128*s[35])/9 + (64*s[36])/27 - 
       (2368*s[37])/27 + (512*s[38])/3 - (6272*s[39])/9 + (23936*s[40])/27 - 
       (7520*s[41])/9 + (23392*s[42])/27 + (397600*s[43])/297 - 
       (361600*s[44])/297 + (683120*s[45])/297 - (1382288*s[46])/99 - 
       (417676*s[47])/891 + (1612748*s[48])/891 - (5719124*s[49])/891 + 
       (3485800*s[50])/297 + (563308*s[51])/891 + (164848*s[52])/891 - 
       (90512*s[53])/11 - (163712*s[54])/99 - (5421236*s[55])/99 - 
       (11133916*s[56])/891 - (26106032*s[57])/2673 - 
       (125307044*s[58])/8019 + (133747100*s[59])/8019 + 
       (341979862*s[60])/2673 - (493675232*s[61])/72171 + (128*s[70])/3 + 
       (32*s[74])/9 - (32*s[75])/9 - (128*s[77])/3 + (256*s[79])/9 - 
       (128*s[80])/27 + (5152*s[82])/3 + (1024*s[85])/3) + 
     HPL[{0, 1}, 1 - v]*Qep[w, u, v]*(48*s[2] + (1720*s[3])/9 + 
       (43276*s[4])/9 + (328952*s[5])/99 + (828664*s[6])/99 + 
       (70984526*s[7])/891 - (5679776*s[8])/891 - (5458684*s[9])/81 - 
       (1763792*s[10])/81 - (8653900*s[11])/99 - (28324682*s[12])/297 - 
       (50750830*s[13])/891 - (343982*s[14])/33 - (8620442*s[15])/81 - 
       (120182980*s[16])/891 - (92780324*s[17])/891 - (125608*s[18])/9 - 
       (1036484*s[19])/81 - (47451004*s[20])/297 - (151810238*s[21])/2673 + 
       (112357742*s[22])/2673 + (78183290*s[23])/891 + 
       (236574302*s[24])/2673 - (2679347870*s[25])/24057 + 
       (1456189730*s[26])/24057 + (64*s[30])/9 + (64*s[31])/9 + 
       (32*s[32])/3 - (16*s[33])/3 - (160*s[34])/9 - 96*s[35] - 
       (3232*s[36])/27 + (7856*s[37])/27 + (22016*s[38])/9 - 
       (29632*s[39])/3 + (303520*s[40])/27 - (78752*s[41])/9 + 
       (383600*s[42])/27 + (2633024*s[43])/297 - (2821202*s[44])/297 + 
       (3148544*s[45])/297 - (24184144*s[46])/297 + (2766322*s[47])/891 + 
       (1500178*s[48])/891 - (36058918*s[49])/891 + (18704792*s[50])/297 + 
       (8959514*s[51])/891 + (7029602*s[52])/891 - (38458352*s[53])/891 + 
       (251384*s[54])/297 - (27306274*s[55])/99 - (21651926*s[56])/297 + 
       (20579716*s[57])/297 - (336913910*s[58])/2673 + 
       (338876498*s[59])/2673 + (1798442849*s[60])/2673 - 
       (854109154*s[61])/24057 + (64*s[66])/3 - (64*s[67])/3 + (64*s[68])/3 - 
       64*s[69] + 64*s[70] + (64*s[72])/3 + (64*s[73])/9 - (112*s[74])/3 + 
       (112*s[75])/3 - (128*s[76])/3 - (352*s[77])/9 - (320*s[78])/9 + 
       1280*s[79] - (10400*s[80])/27 + 1920*s[82] + (32*s[83])/3 + 
       448*s[84] + (1024*s[85])/3) + HPL[{0, 1}, 1 - w]*Qep[w, u, v]*
      ((112*s[2])/9 + (2488*s[3])/9 + (44828*s[4])/9 + (30272*s[5])/9 + 
       (77336*s[6])/9 + (6522856*s[7])/81 - (534676*s[8])/81 - 
       (5504848*s[9])/81 - (1759460*s[10])/81 - 88118*s[11] - 
       (2594806*s[12])/27 - (4665056*s[13])/81 - (94252*s[14])/9 - 
       (8735600*s[15])/81 - (11050292*s[16])/81 - (8568706*s[17])/81 - 
       (1130648*s[18])/81 - (116440*s[19])/9 - (13025348*s[20])/81 - 
       (13836616*s[21])/243 + (10286740*s[22])/243 + (7205230*s[23])/81 + 
       (21672910*s[24])/243 - (246450826*s[25])/2187 + 
       (133435234*s[26])/2187 + (128*s[30])/9 - (64*s[31])/9 - (32*s[32])/9 - 
       (32*s[33])/3 + (32*s[34])/9 - 96*s[35] - (3232*s[36])/27 + 
       (11312*s[37])/27 + (21248*s[38])/9 - 9856*s[39] + (302944*s[40])/27 - 
       (78944*s[41])/9 + (386480*s[42])/27 + (2605952*s[43])/297 - 
       (2781926*s[44])/297 + (3228752*s[45])/297 - (24561568*s[46])/297 + 
       (2984374*s[47])/891 + (1166998*s[48])/891 - (35392018*s[49])/891 + 
       (18975368*s[50])/297 + (9018734*s[51])/891 + (7099478*s[52])/891 - 
       (39407024*s[53])/891 + (687848*s[54])/297 - (9335362*s[55])/33 - 
       (22513154*s[56])/297 + (20065132*s[57])/297 - (341225378*s[58])/2673 + 
       (342834806*s[59])/2673 + (1819149851*s[60])/2673 - 
       (884078614*s[61])/24057 + (64*s[66])/3 - (64*s[67])/3 + (64*s[68])/3 - 
       64*s[69] + (64*s[70])/3 + (64*s[72])/3 + (64*s[73])/9 - 
       (112*s[74])/3 + (112*s[75])/3 - (128*s[76])/3 + (32*s[77])/9 - 
       (320*s[78])/9 + 1280*s[79] - (10400*s[80])/27 + 1920*s[82] + 
       (32*s[83])/3 + 448*s[84] + (1024*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[u, v, w]*((256*s[2])/3 + 
       (2680*s[3])/9 + (14708*s[4])/3 + (408416*s[5])/99 + (110764*s[6])/11 + 
       (2893600*s[7])/33 - (18699184*s[8])/2673 - (17996972*s[9])/243 - 
       (5756980*s[10])/243 - (85237808*s[11])/891 - (92364880*s[12])/891 - 
       (55144868*s[13])/891 - (12230696*s[14])/891 - (9505144*s[15])/81 - 
       (132272684*s[16])/891 - (103947392*s[17])/891 - (12249076*s[18])/729 - 
       (8991188*s[19])/729 - (1416680564*s[20])/8019 - 
       (520733600*s[21])/8019 + (368376784*s[22])/8019 + 
       (87366376*s[23])/891 + (765064984*s[24])/8019 - 
       (8707213496*s[25])/72171 + (4883228192*s[26])/72171 - (32*s[30])/9 + 
       (64*s[31])/3 - (208*s[32])/9 - (232*s[33])/9 + (32*s[34])/9 + 
       (64*s[35])/9 - (496*s[36])/3 + (7808*s[37])/27 + (23408*s[38])/9 - 
       (32900*s[39])/3 + 12348*s[40] - (86084*s[41])/9 + (48092*s[42])/3 + 
       (926116*s[43])/99 - (329480*s[44])/33 + (3480008*s[45])/297 - 
       (26420732*s[46])/297 + (1216472*s[47])/297 + (164564*s[48])/297 - 
       (12487784*s[49])/297 + (6702176*s[50])/99 + (3347228*s[51])/297 + 
       (2732164*s[52])/297 - (42207100*s[53])/891 + (1086640*s[54])/297 - 
       (89516660*s[55])/297 - (73332200*s[56])/891 + (224182412*s[57])/2673 - 
       (1130111764*s[58])/8019 + (1132038484*s[59])/8019 + 
       (213467852*s[60])/297 - (2901813232*s[61])/72171 + (64*s[68])/3 - 
       (64*s[69])/3 - (64*s[70])/3 - (16*s[71])/3 + (128*s[72])/3 - 
       (448*s[74])/9 + (448*s[75])/9 - (128*s[76])/3 + (256*s[77])/9 + 
       (320*s[78])/9 + (9536*s[79])/9 - (7616*s[80])/27 + (4160*s[82])/3 + 
       512*s[84] + (1024*s[85])/3) + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((41*s[2])/2 + (57*s[3])/4 + (10963*s[4])/8 + 
       (27123*s[5])/44 + (185275*s[6])/88 + (32103367*s[7])/1584 - 
       (1296367*s[8])/792 - (307265*s[9])/18 - (50804*s[10])/9 - 
       (11884259*s[11])/528 - (1643593*s[12])/66 - (23669363*s[13])/1584 - 
       (1221575*s[14])/528 - (3826177*s[15])/144 - (3410213*s[16])/99 - 
       (40847671*s[17])/1584 - (185231*s[18])/54 - (733279*s[19])/216 - 
       (96315499*s[20])/2376 - (22294631*s[21])/1584 + 
       (51207461*s[22])/4752 + (4512353*s[23])/198 + (27217187*s[24])/1188 - 
       (205195229*s[25])/7128 + (109298501*s[26])/7128 - s[28] - s[30] - 
       6*s[31] - 3*s[32] + 5*s[33] + 29*s[34] - 25*s[35] - (125*s[36])/6 - 
       (253*s[37])/6 + 817*s[38] - (13233*s[39])/4 + (47323*s[40])/12 - 
       (12859*s[41])/4 + (56915*s[42])/12 + (37315*s[43])/12 - 
       (42421*s[44])/12 + (43043*s[45])/12 - (56979*s[46])/2 + 
       (22121*s[47])/36 + (26809*s[48])/18 - (530087*s[49])/36 + 
       (135509*s[50])/6 + (30556*s[51])/9 + (23479*s[52])/9 - 14873*s[53] - 
       (537*s[54])/2 - 96069*s[55] - (917527*s[56])/36 + 
       (2408701*s[57])/108 - (7047739*s[58])/162 + (3523739*s[59])/81 + 
       (13025759*s[60])/54 - (36447335*s[61])/2916 - 2*s[64] - s[65] + 
       6*s[67] - 6*s[68] + 6*s[69] + 30*s[70] - s[71] - 2*s[72] - 28*s[73] - 
       (33*s[74])/2 + (13*s[75])/2 + 22*s[76] - 41*s[77] - 24*s[78] + 
       604*s[79] - (649*s[80])/3 + 1028*s[82] - 15*s[83] + 234*s[84] + 
       352*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((47*s[2])/2 - (133*s[3])/4 + (14387*s[4])/8 + 
       (13143*s[5])/11 + (306249*s[6])/88 + (5494285*s[7])/176 - 
       (5634127*s[8])/2376 - (1430585*s[9])/54 - (955523*s[10])/108 - 
       (54579871*s[11])/1584 - (14892743*s[12])/396 - (35964937*s[13])/1584 - 
       (7596283*s[14])/1584 - (5904899*s[15])/144 - (20921467*s[16])/396 - 
       (64288129*s[17])/1584 - (442238*s[18])/81 - (3238271*s[19])/648 - 
       (448862135*s[20])/7128 - (320795269*s[21])/14256 + 
       (236165873*s[22])/14256 + (12758099*s[23])/396 + 
       (31306973*s[24])/891 - (2790489575*s[25])/64152 + 
       (1526700755*s[26])/64152 + 8*s[30] - 6*s[31] - s[32] - (17*s[33])/4 + 
       32*s[34] - 25*s[35] - (125*s[36])/6 - (253*s[37])/6 + 817*s[38] - 
       (13233*s[39])/4 + (47323*s[40])/12 - (12859*s[41])/4 + 
       (56915*s[42])/12 + (37315*s[43])/12 - (42421*s[44])/12 + 
       (43043*s[45])/12 - (56979*s[46])/2 + (22121*s[47])/36 + 
       (26809*s[48])/18 - (530087*s[49])/36 + (135509*s[50])/6 + 
       (30556*s[51])/9 + (23479*s[52])/9 - 14873*s[53] - (537*s[54])/2 - 
       96069*s[55] - (917527*s[56])/36 + (2408701*s[57])/108 - 
       (7047739*s[58])/162 + (3523739*s[59])/81 + (13025759*s[60])/54 - 
       (36447335*s[61])/2916 - 2*s[64] - s[65] + 6*s[67] - 6*s[68] + 
       6*s[69] + 30*s[70] - s[71] - 2*s[72] - 28*s[73] - (33*s[74])/2 + 
       (13*s[75])/2 + 22*s[76] - 41*s[77] - 24*s[78] + 604*s[79] - 
       (649*s[80])/3 + 1028*s[82] - 15*s[83] + 234*s[84] + 352*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1}, 1 - w]*((161*s[2])/4 + 93*s[3] - 
       (1309*s[4])/2 + (93345*s[5])/176 + (89665*s[6])/176 + 
       (1572391*s[7])/528 + (2754859*s[8])/4752 - (1152853*s[9])/432 - 
       (1212671*s[10])/432 - (4283791*s[11])/1584 - (1984313*s[12])/1584 - 
       (57845*s[13])/792 - (4011215*s[14])/792 - (454819*s[15])/72 - 
       (11867689*s[16])/1584 - (3928825*s[17])/396 - (635267*s[18])/1296 - 
       (977465*s[19])/648 - (80000441*s[20])/7128 - (74048917*s[21])/14256 + 
       (10766119*s[22])/7128 - (15640831*s[23])/1584 + 
       (90443603*s[24])/14256 - (291324629*s[25])/256608 + 
       (646524605*s[26])/256608 + (3*s[28])/4 - (25*s[30])/2 - (9*s[31])/2 + 
       (51*s[32])/4 - (143*s[33])/4 + 42*s[34] + (3*s[35])/2 + 
       (197*s[36])/4 - (3355*s[37])/24 - (999*s[38])/4 + (20135*s[39])/16 - 
       (20323*s[40])/16 + (14017*s[41])/16 - (35217*s[42])/16 - 
       (26537*s[43])/176 + (150397*s[44])/352 + (610297*s[45])/528 - 
       (574283*s[46])/264 - (509813*s[47])/352 + (854429*s[48])/352 - 
       (52449*s[49])/352 + (231281*s[50])/88 - (608735*s[51])/352 - 
       (568793*s[52])/352 - (196688*s[53])/99 - (790415*s[54])/264 - 
       (18375539*s[55])/1056 - (8299895*s[56])/3168 - (30627875*s[57])/1188 + 
       (105998153*s[58])/28512 - (75330581*s[59])/28512 + 
       (224745175*s[60])/6336 - (82346309*s[61])/32076 + (3*s[65])/4 + 
       3*s[66] - 3*s[67] - 3*s[69] + 35*s[70] - (3*s[71])/4 - 31*s[72] + 
       35*s[73] + 27*s[74] - (25*s[75])/2 + (53*s[76])/2 - (39*s[77])/2 - 
       31*s[78] - 272*s[79] + (569*s[80])/12 + 2592*s[82] + 21*s[83] - 
       48*s[84] + 384*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 1 - v]*
      ((-29*s[2])/4 + (2477*s[3])/8 - (4073*s[4])/16 + (18267*s[5])/88 + 
       (42327*s[6])/176 + (2320067*s[7])/1056 + (1342867*s[8])/4752 - 
       (327635*s[9])/216 - (257693*s[10])/108 - (6299411*s[11])/3168 - 
       (101789*s[12])/99 + (85015*s[13])/3168 - (8554547*s[14])/3168 - 
       (1491571*s[15])/288 - (1202903*s[16])/198 - (24419969*s[17])/3168 - 
       (36745*s[18])/162 - (2277607*s[19])/1296 - (110118787*s[20])/14256 - 
       (91395377*s[21])/28512 + (26468089*s[22])/28512 - 
       (4438499*s[23])/792 + (36670105*s[24])/7128 - (87155501*s[25])/64152 + 
       (109251023*s[26])/64152 - (15*s[30])/2 - 25*s[31] + (89*s[32])/4 - 
       (289*s[33])/8 + (135*s[34])/2 + (3*s[35])/2 + (197*s[36])/4 - 
       (3355*s[37])/24 - (999*s[38])/4 + (20135*s[39])/16 - 
       (20323*s[40])/16 + (14017*s[41])/16 - (35217*s[42])/16 - 
       (26537*s[43])/176 + (150397*s[44])/352 + (610297*s[45])/528 - 
       (574283*s[46])/264 - (509813*s[47])/352 + (854429*s[48])/352 - 
       (52449*s[49])/352 + (231281*s[50])/88 - (608735*s[51])/352 - 
       (568793*s[52])/352 - (196688*s[53])/99 - (790415*s[54])/264 - 
       (18375539*s[55])/1056 - (8299895*s[56])/3168 - (30627875*s[57])/1188 + 
       (105998153*s[58])/28512 - (75330581*s[59])/28512 + 
       (224745175*s[60])/6336 - (82346309*s[61])/32076 + (3*s[65])/4 + 
       3*s[66] - 3*s[67] - 3*s[69] + 35*s[70] - (3*s[71])/4 - 31*s[72] + 
       35*s[73] + 27*s[74] - (25*s[75])/2 + (53*s[76])/2 - (39*s[77])/2 - 
       31*s[78] - 272*s[79] + (569*s[80])/12 + 2592*s[82] + 21*s[83] - 
       48*s[84] + 384*s[85]) + HPL[{0, 1}, 1 - w]*Qep[v, w, u]*
      (16*s[2] + (488*s[3])/3 + (11644*s[4])/3 + (6356*s[5])/3 + 
       (19384*s[6])/3 + (173906*s[7])/3 - (409048*s[8])/81 - 
       (3935932*s[9])/81 - (1224524*s[10])/81 - (1718018*s[11])/27 - 
       (1892044*s[12])/27 - (1138346*s[13])/27 - (178394*s[14])/27 - 
       (2058470*s[15])/27 - (2632268*s[16])/27 - (2003378*s[17])/27 - 
       (2514800*s[18])/243 - (2097400*s[19])/243 - (27735272*s[20])/243 - 
       (9706502*s[21])/243 + (7391722*s[22])/243 + (1850632*s[23])/27 + 
       (15341788*s[24])/243 - (179417858*s[25])/2187 + 
       (95934578*s[26])/2187 + (32*s[30])/3 - 16*s[32] + (16*s[33])/3 + 
       32*s[34] - (32*s[35])/3 - (544*s[36])/9 + 312*s[37] + (4880*s[38])/3 - 
       7408*s[39] + (77392*s[40])/9 - (20216*s[41])/3 + (99176*s[42])/9 + 
       (621872*s[43])/99 - (700358*s[44])/99 + (84220*s[45])/11 - 
       (5994500*s[46])/99 + (788698*s[47])/297 + (184666*s[48])/297 - 
       (8496526*s[49])/297 + (4618016*s[50])/99 + (2356346*s[51])/297 + 
       (1841606*s[52])/297 - (9524788*s[53])/297 + (288256*s[54])/99 - 
       (20245958*s[55])/99 - (16758706*s[56])/297 + (50761540*s[57])/891 - 
       (254916638*s[58])/2673 + (253316438*s[59])/2673 + 
       (439248551*s[60])/891 - (651954140*s[61])/24057 + (64*s[66])/3 - 
       (64*s[67])/3 + (64*s[68])/3 - 64*s[69] - (64*s[70])/3 + (16*s[71])/3 + 
       (64*s[72])/3 - (64*s[73])/3 - (112*s[74])/3 + (112*s[75])/3 - 
       (128*s[76])/3 + 32*s[77] - (64*s[78])/3 + (3776*s[79])/3 - 
       (1360*s[80])/3 + 1920*s[82] + 32*s[83] + 512*s[84] + 384*s[85]) + 
     HPL[{0, 1}, 1 - v]*Qep[v, w, u]*(16*s[2] + (488*s[3])/3 + 
       (11692*s[4])/3 + (73808*s[5])/33 + (214112*s[6])/33 + 
       (1968308*s[7])/33 - (4556228*s[8])/891 - (4052032*s[9])/81 - 
       (1291268*s[10])/81 - (19447198*s[11])/297 - (21329750*s[12])/297 - 
       (12727996*s[13])/297 - (2107684*s[14])/297 - (2145260*s[15])/27 - 
       (29947936*s[16])/297 - (22967794*s[17])/297 - (2543204*s[18])/243 - 
       (2275708*s[19])/243 - (316798432*s[20])/2673 - 
       (111157348*s[21])/2673 + (83811248*s[22])/2673 + 
       (20579378*s[23])/297 + (175727018*s[24])/2673 - 
       (2021889718*s[25])/24057 + (1086794974*s[26])/24057 + (32*s[30])/3 + 
       (16*s[32])/3 + (16*s[33])/3 + 32*s[34] - (32*s[35])/3 - 
       (544*s[36])/9 + 248*s[37] + 1712*s[38] - (22672*s[39])/3 + 
       (78736*s[40])/9 - (20536*s[41])/3 + (100232*s[42])/9 + 
       (656816*s[43])/99 - (732548*s[44])/99 + (260092*s[45])/33 - 
       (6170300*s[46])/99 + (729856*s[47])/297 + (347584*s[48])/297 - 
       (9075568*s[49])/297 + (4783208*s[50])/99 + (2348216*s[51])/297 + 
       (1773044*s[52])/297 - (9902932*s[53])/297 + (165448*s[54])/99 - 
       (7002296*s[55])/33 - (16849336*s[56])/297 + (47613232*s[57])/891 - 
       (257293988*s[58])/2673 + (259026776*s[59])/2673 + 
       (457388510*s[60])/891 - (656918630*s[61])/24057 + (64*s[66])/3 - 
       (64*s[67])/3 + (64*s[68])/3 - 64*s[69] + (64*s[70])/3 + (16*s[71])/3 + 
       (64*s[72])/3 - (64*s[73])/3 - (112*s[74])/3 + (112*s[75])/3 - 
       (128*s[76])/3 - (32*s[77])/3 - (64*s[78])/3 + (3776*s[79])/3 - 
       (1360*s[80])/3 + 2304*s[82] + 32*s[83] + 512*s[84] + 384*s[85]) + 
     HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((115*s[2])/4 + (1533*s[3])/8 + (47621*s[4])/16 + (21337*s[5])/11 + 
       (945279*s[6])/176 + (50282629*s[7])/1056 - (18299117*s[8])/4752 - 
       (4337089*s[9])/108 - (2723359*s[10])/216 - (167149217*s[11])/3168 - 
       (11516203*s[12])/198 - (110833307*s[13])/3168 - 
       (18872585*s[14])/3168 - (17925385*s[15])/288 - (63539879*s[16])/792 - 
       (192355175*s[17])/3168 - (2842733*s[18])/324 - (9293569*s[19])/1296 - 
       (1352630377*s[20])/14256 - (970647071*s[21])/28512 + 
       (714777211*s[22])/28512 + (5390339*s[23])/99 + 
       (373897507*s[24])/7128 - (8621364613*s[25])/128304 + 
       (4704947689*s[26])/128304 + 18*s[30] + s[31] + (37*s[32])/2 - 
       (13*s[33])/8 + 9*s[34] - 37*s[35] - (457*s[36])/6 + (335*s[37])/4 + 
       (3381*s[38])/2 - 6595*s[39] + (45361*s[40])/6 - (23741*s[41])/4 + 
       (28261*s[42])/3 + (194413*s[43])/33 - (3375133*s[44])/528 + 
       (584665*s[45])/88 - (13822481*s[46])/264 + (3204911*s[47])/1584 + 
       (2302559*s[48])/1584 - (42843797*s[49])/1584 + (1328248*s[50])/33 + 
       (10567471*s[51])/1584 + (8455885*s[52])/1584 - (10764431*s[53])/396 + 
       (42967*s[54])/66 - (91632377*s[55])/528 - (74107691*s[56])/1584 + 
       (118498609*s[57])/2376 - (1175259355*s[58])/14256 + 
       (1175303005*s[59])/14256 + (4108506581*s[60])/9504 - 
       (2951811439*s[61])/128304 + 7*s[62] - 2*s[64] - 2*s[65] + 5*s[67] + 
       14*s[68] + 2*s[69] + 84*s[70] - s[71] + 9*s[72] - 25*s[73] - 
       (105*s[74])/4 + (67*s[75])/4 + 2*s[76] - (193*s[77])/2 - 7*s[78] + 
       736*s[79] - (519*s[80])/2 - s[81]/3 + 1014*s[82] - 18*s[83] + 
       276*s[84] + 396*s[85]) + HPL[{0, 1, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v]*((261*s[2])/4 + (861*s[3])/8 + 
       (45503*s[4])/16 + (167217*s[5])/88 + (937603*s[6])/176 + 
       (147680623*s[7])/3168 - (6091799*s[8])/1584 - (1412647*s[9])/36 - 
       (221353*s[10])/18 - (18188165*s[11])/352 - (15058723*s[12])/264 - 
       (109288811*s[13])/3168 - (2011029*s[14])/352 - (17437297*s[15])/288 - 
       (15513413*s[16])/198 - (187228555*s[17])/3168 - (307435*s[18])/36 - 
       (990949*s[19])/144 - (146210585*s[20])/1584 - (315335077*s[21])/9504 + 
       (233213965*s[22])/9504 + (42890005*s[23])/792 + (30411487*s[24])/594 - 
       (2816751263*s[25])/42768 + (1533157943*s[26])/42768 - 2*s[28] + 
       12*s[29] + s[30]/2 + 20*s[31] - s[32] - 45*s[33] + (41*s[34])/2 - 
       37*s[35] - (457*s[36])/6 + (335*s[37])/4 + (3381*s[38])/2 - 
       6595*s[39] + (45361*s[40])/6 - (23741*s[41])/4 + (28261*s[42])/3 + 
       (194413*s[43])/33 - (3375133*s[44])/528 + (584665*s[45])/88 - 
       (13822481*s[46])/264 + (3204911*s[47])/1584 + (2302559*s[48])/1584 - 
       (42843797*s[49])/1584 + (1328248*s[50])/33 + (10567471*s[51])/1584 + 
       (8455885*s[52])/1584 - (10764431*s[53])/396 + (42967*s[54])/66 - 
       (91632377*s[55])/528 - (74107691*s[56])/1584 + 
       (118498609*s[57])/2376 - (1175259355*s[58])/14256 + 
       (1175303005*s[59])/14256 + (4108506581*s[60])/9504 - 
       (2951811439*s[61])/128304 + 7*s[62] - 2*s[64] - 2*s[65] + 5*s[67] + 
       14*s[68] + 2*s[69] + 84*s[70] - s[71] + 9*s[72] - 25*s[73] - 
       (105*s[74])/4 + (67*s[75])/4 + 2*s[76] - (193*s[77])/2 - 7*s[78] + 
       736*s[79] - (519*s[80])/2 - s[81]/3 + 1014*s[82] - 18*s[83] + 
       276*s[84] + 396*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[w, u, v]*
      ((224*s[2])/3 + (2264*s[3])/9 + 5052*s[4] + (425512*s[5])/99 + 
       (329092*s[6])/33 + (26907932*s[7])/297 - (19063520*s[8])/2673 - 
       (18651028*s[9])/243 - (6005588*s[10])/243 - (87924964*s[11])/891 - 
       (95153972*s[12])/891 - (56436856*s[13])/891 - (12699916*s[14])/891 - 
       (9894020*s[15])/81 - (137054740*s[16])/891 - (107913604*s[17])/891 - 
       (12479360*s[18])/729 - (9598744*s[19])/729 - (1471725868*s[20])/8019 - 
       (537723172*s[21])/8019 + (381570752*s[22])/8019 + 
       (89332664*s[23])/891 + (794276348*s[24])/8019 - 
       (8975954032*s[25])/72171 + (5020074340*s[26])/72171 + (32*s[30])/9 + 
       (64*s[31])/3 - (128*s[32])/9 - (32*s[33])/9 - (128*s[34])/9 - 
       (64*s[35])/9 - (1280*s[36])/9 + (8032*s[37])/27 + (23584*s[38])/9 - 
       11072*s[39] + (112448*s[40])/9 - (87376*s[41])/9 + (145168*s[42])/9 + 
       (318752*s[43])/33 - (1021000*s[44])/99 + (3626176*s[45])/297 - 
       (27418432*s[46])/297 + (385280*s[47])/99 + (35968*s[48])/33 - 
       (4341616*s[49])/99 + (7009472*s[50])/99 + (3328352*s[51])/297 + 
       (99032*s[52])/11 - (44163296*s[53])/891 + (830384*s[54])/297 - 
       (93795616*s[55])/297 - (75711280*s[56])/891 + (209738752*s[57])/2673 - 
       (1151672864*s[58])/8019 + (1159254464*s[59])/8019 + 
       (670371736*s[60])/891 - (3005487440*s[61])/72171 + (64*s[68])/3 - 
       (64*s[69])/3 + (128*s[72])/3 - (416*s[74])/9 + (416*s[75])/9 - 
       (128*s[76])/3 + (128*s[77])/9 + (256*s[78])/9 + (10240*s[79])/9 - 
       (9664*s[80])/27 + (5632*s[82])/3 + 512*s[84] + (1280*s[85])/3) + 
     HPL[{0, 1}, 1 - u]*Qep[u, v, w]*((1408*s[2])/9 + (976*s[3])/9 + 
       (45200*s[4])/9 + (509944*s[5])/99 + (1118984*s[6])/99 + 
       (30241444*s[7])/297 - (251648*s[8])/33 - (260096*s[9])/3 - 
       (257344*s[10])/9 - (10974608*s[11])/99 - (11822836*s[12])/99 - 
       (20936492*s[13])/297 - (1819328*s[14])/99 - (3707692*s[15])/27 - 
       (51485108*s[16])/297 - (40890352*s[17])/297 - (1611836*s[18])/81 - 
       (1151884*s[19])/81 - (186344380*s[20])/891 - (69484340*s[21])/891 + 
       (5309180*s[22])/99 + (32043676*s[23])/297 + (11023088*s[24])/99 - 
       (1106092364*s[25])/8019 + (632305076*s[26])/8019 + (32*s[30])/9 + 
       (448*s[31])/9 - (304*s[32])/9 + (32*s[33])/9 - (448*s[34])/9 - 
       (640*s[35])/9 - (2240*s[36])/9 + (2632*s[37])/9 + (9296*s[38])/3 - 
       (113680*s[39])/9 + (42416*s[40])/3 - (99464*s[41])/9 + 
       (164152*s[42])/9 + (360496*s[43])/33 - (389798*s[44])/33 + 
       (1339364*s[45])/99 - (3398548*s[46])/33 + (436682*s[47])/99 + 
       (47470*s[48])/33 - (4999006*s[49])/99 + (871760*s[50])/11 + 
       (1258042*s[51])/99 + (334402*s[52])/33 - (16329380*s[53])/297 + 
       (114416*s[54])/99 - (103977110*s[55])/297 - (27646054*s[56])/297 + 
       (81085612*s[57])/891 - (430295570*s[58])/2673 + 
       (433153682*s[59])/2673 + (27807895*s[60])/33 - 
       (1102500992*s[61])/24057 - (64*s[66])/3 + (64*s[67])/3 + 
       (64*s[68])/3 + (64*s[69])/3 - (16*s[71])/3 + (512*s[72])/9 - 
       (608*s[74])/9 + (608*s[75])/9 - (320*s[76])/9 + (832*s[78])/9 + 
       1088*s[79] - (2192*s[80])/9 + 2368*s[82] - (32*s[83])/3 + 
       (1408*s[84])/3 + (1408*s[85])/3) + HPL[{0, 1}, 1 - u]*Qep[w, v, u]*
      ((400*s[2])/9 + (2872*s[3])/9 + (77276*s[4])/9 + (583864*s[5])/99 + 
       (1468652*s[6])/99 + (13112558*s[7])/99 - (9927340*s[8])/891 - 
       (9035936*s[9])/81 - (2697472*s[10])/81 - (43230098*s[11])/297 - 
       (47549236*s[12])/297 - (28597706*s[13])/297 - (4567490*s[14])/297 - 
       (4710430*s[15])/27 - (65777276*s[16])/297 - (50007350*s[17])/297 - 
       (6069988*s[18])/243 - (4432880*s[19])/243 - (697336712*s[20])/2673 - 
       (250899842*s[21])/2673 + (185849770*s[22])/2673 + 
       (48133948*s[23])/297 + (379976680*s[24])/2673 - 
       (4486129052*s[25])/24057 + (2442458732*s[26])/24057 + (128*s[30])/9 + 
       (64*s[31])/9 - (16*s[32])/9 - (832*s[33])/9 + (32*s[34])/9 - 
       (544*s[35])/9 - (2752*s[36])/9 + 552*s[37] + (14416*s[38])/3 - 
       (173608*s[39])/9 + (194984*s[40])/9 - (152768*s[41])/9 + 
       (251072*s[42])/9 + (1661368*s[43])/99 - (1754398*s[44])/99 + 
       (1931620*s[45])/99 - (5025884*s[46])/33 + (1952714*s[47])/297 + 
       (646706*s[48])/297 - (22249022*s[49])/297 + (11476816*s[50])/99 + 
       (5794402*s[51])/297 + (4739638*s[52])/297 - (24016580*s[53])/297 + 
       (719216*s[54])/99 - (152170730*s[55])/297 - (41233106*s[56])/297 + 
       (125595980*s[57])/891 - (639076366*s[58])/2673 + 
       (642743038*s[59])/2673 + (1100099587*s[60])/891 - 
       (1608890608*s[61])/24057 + (64*s[66])/3 - (64*s[67])/3 - 
       (64*s[68])/3 - (64*s[69])/3 - (64*s[70])/3 - 16*s[71] + 
       (320*s[72])/9 + (64*s[73])/3 - (752*s[74])/9 + (752*s[75])/9 - 
       (512*s[76])/9 + (32*s[77])/3 - (320*s[78])/9 + (5696*s[79])/3 - 
       (4432*s[80])/9 + 832*s[82] + (64*s[83])/3 + (3136*s[84])/3 + 
       (1408*s[85])/3) + HPL[{0, 1}, 1 - w]*Qep[v, u, w]*
      ((304*s[2])/3 + (248*s[3])/3 + (32836*s[4])/3 + (79384*s[5])/11 + 
       (613616*s[6])/33 + (50577056*s[7])/297 - (12667132*s[8])/891 - 
       (11654744*s[9])/81 - (3518644*s[10])/81 - (55883486*s[11])/297 - 
       (61586842*s[12])/297 - (4140304*s[13])/33 - (5295932*s[14])/297 - 
       (2009384*s[15])/9 - (28237676*s[16])/99 - (63975898*s[17])/297 - 
       (7499032*s[18])/243 - (6058760*s[19])/243 - (894055916*s[20])/2673 - 
       (321906800*s[21])/2673 + (240267364*s[22])/2673 + (2255386*s[23])/11 + 
       (492712402*s[24])/2673 - (5800170110*s[25])/24057 + 
       (3145630190*s[26])/24057 + 32*s[30] + (128*s[31])/3 - (32*s[32])/3 - 
       (88*s[33])/3 - (256*s[34])/3 - (544*s[35])/3 - (1504*s[36])/3 + 
       (5168*s[37])/9 + 6528*s[38] - 25744*s[39] + 28784*s[40] - 
       22640*s[41] + 37024*s[42] + (746960*s[43])/33 - (791678*s[44])/33 + 
       (2433920*s[45])/99 - (19529696*s[46])/99 + (829790*s[47])/99 + 
       (324494*s[48])/99 - (10173002*s[49])/99 + (5006792*s[50])/33 + 
       (2520230*s[51])/99 + (2033374*s[52])/99 - (30930640*s[53])/297 + 
       (261688*s[54])/99 - (65269102*s[55])/99 - (51543146*s[56])/297 + 
       (169541252*s[57])/891 - (830112298*s[58])/2673 + 
       (840809374*s[59])/2673 + (159966317*s[60])/99 - 
       (2012194246*s[61])/24057 - (64*s[66])/3 + (64*s[67])/3 - 
       (64*s[68])/3 + 64*s[69] + (64*s[70])/3 - (64*s[71])/3 + 
       (320*s[72])/3 - (64*s[73])/3 - (368*s[74])/3 + (368*s[75])/3 - 
       (256*s[76])/3 - (160*s[77])/3 + (320*s[78])/3 + (7552*s[79])/3 - 
       (4640*s[80])/9 + 896*s[82] + 1024*s[84] + 512*s[85]) + 
     HPL[{0, 1}, 1 - v]*Qep[v, u, w]*(208*s[2] - (520*s[3])/3 + 10364*s[4] + 
       (85856*s[5])/11 + (627296*s[6])/33 + (51483050*s[7])/297 - 
       (12579184*s[8])/891 - (11915924*s[9])/81 - (3630496*s[10])/81 - 
       (56634428*s[11])/297 - (62114170*s[12])/297 - (4153522*s[13])/33 - 
       (6425414*s[14])/297 - (684494*s[15])/3 - (28730660*s[16])/99 - 
       (65660068*s[17])/297 - (7956376*s[18])/243 - (5720540*s[19])/243 - 
       (920264420*s[20])/2673 - (336531710*s[21])/2673 + 
       (244911166*s[22])/2673 + (6751766*s[23])/33 + (497978446*s[24])/2673 - 
       (5825228846*s[25])/24057 + (3217875962*s[26])/24057 + (32*s[30])/3 + 
       (256*s[31])/3 - (160*s[32])/3 - (40*s[33])/3 - (448*s[34])/3 - 
       (544*s[35])/3 - (1504*s[36])/3 + (6320*s[37])/9 + (19328*s[38])/3 - 
       (77168*s[39])/3 + (86288*s[40])/3 - (67984*s[41])/3 + 
       (111392*s[42])/3 + 22544*s[43] - 23858*s[44] + (223696*s[45])/9 - 
       (1786864*s[46])/9 + (77638*s[47])/9 + (26134*s[48])/9 - 
       (918082*s[49])/9 + 152632*s[50] + (76570*s[51])/3 + (185558*s[52])/9 - 
       (2840624*s[53])/27 + (37016*s[54])/9 - (1999058*s[55])/3 - 
       (4764034*s[56])/27 + (15272500*s[57])/81 - (75856706*s[58])/243 + 
       (76797062*s[59])/243 + (14612113*s[60])/9 - (185651246*s[61])/2187 - 
       (64*s[66])/3 + (64*s[67])/3 - (64*s[68])/3 + 64*s[69] - (64*s[70])/3 - 
       (64*s[71])/3 + (320*s[72])/3 - (64*s[73])/3 - (368*s[74])/3 + 
       (368*s[75])/3 - (256*s[76])/3 - (32*s[77])/3 + (320*s[78])/3 + 
       (7552*s[79])/3 - (4640*s[80])/9 + 896*s[82] + 1024*s[84] + 
       512*s[85]) + HPL[{0, 1}, 1 - u]*Qep[v, u, w]*
      ((176*s[2])/3 + (392*s[3])/3 + (23852*s[4])/3 + (164860*s[5])/33 + 
       (149112*s[6])/11 + (36045760*s[7])/297 - (9033796*s[8])/891 - 
       (8276216*s[9])/81 - (2524072*s[10])/81 - (39692492*s[11])/297 - 
       (43692052*s[12])/297 - (26442880*s[13])/297 - (4030340*s[14])/297 - 
       (4290884*s[15])/27 - (60284032*s[16])/297 - (15224048*s[17])/99 - 
       (5310388*s[18])/243 - (4341584*s[19])/243 - (636736868*s[20])/2673 - 
       (225835520*s[21])/2673 + (170740960*s[22])/2673 + 
       (42724904*s[23])/297 + (352640308*s[24])/2673 - 
       (4133231594*s[25])/24057 + (2220825446*s[26])/24057 + (32*s[30])/3 - 
       (32*s[32])/3 - (296*s[33])/3 + (64*s[34])/3 - (416*s[35])/3 - 
       (2848*s[36])/9 + (4720*s[37])/9 + (13312*s[38])/3 - (52048*s[39])/3 + 
       (177616*s[40])/9 - (46768*s[41])/3 + (223712*s[42])/9 + 
       (142576*s[43])/9 - (150004*s[44])/9 + (166904*s[45])/9 - 
       (428552*s[46])/3 + (132380*s[47])/27 + (105260*s[48])/27 - 
       (1914260*s[49])/27 + (988528*s[50])/9 + (474460*s[51])/27 + 
       (381412*s[52])/27 - (227600*s[53])/3 + (13808*s[54])/3 - 
       (4346852*s[55])/9 - (3487756*s[56])/27 + (9512680*s[57])/81 - 
       (53412140*s[58])/243 + (53799284*s[59])/243 + (95163850*s[60])/81 - 
       (136270052*s[61])/2187 + (64*s[66])/3 - (64*s[67])/3 - (64*s[68])/3 - 
       (64*s[69])/3 + (64*s[70])/3 - (64*s[71])/3 + (64*s[72])/3 - 
       (64*s[73])/3 - 80*s[74] + 80*s[75] - (128*s[76])/3 - (32*s[77])/3 - 
       64*s[78] + (6016*s[79])/3 - (4384*s[80])/9 + 1024*s[82] + 64*s[83] + 
       1152*s[84] + 512*s[85]) + HPL[{0, 1}, 1 - w]*Qep[u, v, w]*
      ((608*s[2])/9 + (4400*s[3])/9 + (53056*s[4])/9 + (462548*s[5])/99 + 
       (1161344*s[6])/99 + (92475238*s[7])/891 - (7398668*s[8])/891 - 
       (7083556*s[9])/81 - (2316536*s[10])/81 - (33580760*s[11])/297 - 
       (36349046*s[12])/297 - (64957910*s[13])/891 - (4787294*s[14])/297 - 
       (11340406*s[15])/81 - (157252520*s[16])/891 - (123982180*s[17])/891 - 
       (4685704*s[18])/243 - (3769208*s[19])/243 - (560199836*s[20])/2673 - 
       (68075890*s[21])/891 + (145108958*s[22])/2673 + 
       (101135458*s[23])/891 + (305417990*s[24])/2673 - 
       (381818180*s[25])/2673 + (213112436*s[26])/2673 + (160*s[30])/9 + 
       (64*s[31])/9 - (112*s[32])/9 - (32*s[33])/3 + (256*s[34])/9 - 
       64*s[35] - (4448*s[36])/27 + (11080*s[37])/27 + (26800*s[38])/9 - 
       (37448*s[39])/3 + (382760*s[40])/27 - (99760*s[41])/9 + 
       (488704*s[42])/27 + (3344728*s[43])/297 - (3506020*s[44])/297 + 
       (4252300*s[45])/297 - (31730396*s[46])/297 + (3681416*s[47])/891 + 
       (1607696*s[48])/891 - (45061352*s[49])/891 + (24397960*s[50])/297 + 
       (11278792*s[51])/891 + (9087532*s[52])/891 - (51172156*s[53])/891 + 
       (978856*s[54])/297 - (36403768*s[55])/99 - (29349200*s[56])/297 + 
       (75593080*s[57])/891 - (146758820*s[58])/891 + (147940744*s[59])/891 + 
       (2341556806*s[60])/2673 - (1164009586*s[61])/24057 + (64*s[66])/3 - 
       (64*s[67])/3 + (64*s[68])/3 - 64*s[69] - (16*s[71])/3 + 
       (128*s[72])/3 + (128*s[73])/9 - (128*s[74])/3 + (128*s[75])/3 - 
       64*s[76] + (64*s[77])/9 - (64*s[78])/9 + 1344*s[79] - 
       (9616*s[80])/27 + 2560*s[82] - (32*s[83])/3 + 512*s[84] + 
       (1664*s[85])/3) + HPL[{0, 1}, 1 - v]*Qep[u, v, w]*
      (64*s[2] + (2528*s[3])/9 + (38024*s[4])/9 + (311392*s[5])/99 + 
       (843728*s[6])/99 + (67492858*s[7])/891 - (1698076*s[8])/297 - 
       (1725820*s[9])/27 - (587404*s[10])/27 - (24626110*s[11])/297 - 
       (8891500*s[12])/99 - (47803106*s[13])/891 - (3743002*s[14])/297 - 
       (8220742*s[15])/81 - (115196012*s[16])/891 - (90479614*s[17])/891 - 
       (3266804*s[18])/243 - (2999608*s[19])/243 - (411777700*s[20])/2673 - 
       (148024298*s[21])/2673 + (35512690*s[22])/891 + (68650636*s[23])/891 + 
       (76100876*s[24])/891 - (2515980044*s[25])/24057 + 
       (1391842136*s[26])/24057 + (32*s[30])/9 - (64*s[31])/9 - 
       (16*s[32])/3 - (80*s[33])/3 + (640*s[34])/9 - (128*s[35])/3 - 
       (2720*s[36])/27 + (2536*s[37])/27 + (18928*s[38])/9 - 
       (25256*s[39])/3 + (266696*s[40])/27 - (69808*s[41])/9 + 
       (325120*s[42])/27 + (217640*s[43])/27 - (233306*s[44])/27 + 
       (277004*s[45])/27 - (2045404*s[46])/27 + (162334*s[47])/81 + 
       (249430*s[48])/81 - (2978842*s[49])/81 + (1587584*s[50])/27 + 
       (700502*s[51])/81 + (547010*s[52])/81 - (3239156*s[53])/81 + 
       (15584*s[54])/27 - (2329918*s[55])/9 - (1875026*s[56])/27 + 
       (497708*s[57])/9 - (28031078*s[58])/243 + (28018238*s[59])/243 + 
       (153835697*s[60])/243 - (74627140*s[61])/2187 + (64*s[66])/3 - 
       (64*s[67])/3 + (64*s[68])/3 - 64*s[69] + (128*s[70])/3 - 
       (16*s[71])/3 - (256*s[73])/9 - 32*s[74] + 32*s[75] - (64*s[76])/3 - 
       (128*s[77])/9 - (448*s[78])/9 + (3776*s[79])/3 - (10576*s[80])/27 + 
       2816*s[82] + (160*s[83])/3 + 640*s[84] + (1664*s[85])/3) + 
     HPL[{0, 1}, 1 - v]*Qep[w, v, u]*(176*s[2] - (2248*s[3])/9 + 
       (85004*s[4])/9 + (685624*s[5])/99 + (1689404*s[6])/99 + 
       (138625228*s[7])/891 - (11236000*s[8])/891 - (10703420*s[9])/81 - 
       (3239764*s[10])/81 - (16949948*s[11])/99 - (55837960*s[12])/297 - 
       (100677980*s[13])/891 - (212396*s[14])/11 - (16563796*s[15])/81 - 
       (232049564*s[16])/891 - (176168716*s[17])/891 - (801196*s[18])/27 - 
       (1671340*s[19])/81 - (91785136*s[20])/297 - (301688392*s[21])/2673 + 
       (220108420*s[22])/2673 + (165985024*s[23])/891 + 
       (445184272*s[24])/2673 - (5232625972*s[25])/24057 + 
       (2888500264*s[26])/24057 + (128*s[30])/9 + (704*s[31])/9 - 
       (176*s[32])/3 + (64*s[33])/3 - (1184*s[34])/9 - 96*s[35] - 
       (11936*s[36])/27 + (16072*s[37])/27 + (51376*s[38])/9 - 
       (69824*s[39])/3 + (705824*s[40])/27 - (185656*s[41])/9 + 
       (913576*s[42])/27 + (5955232*s[43])/297 - (6404974*s[44])/297 + 
       (6427156*s[45])/297 - (52388444*s[46])/297 + (7067882*s[47])/891 + 
       (1974266*s[48])/891 - (80987678*s[49])/891 + (40210384*s[50])/297 + 
       (20791594*s[51])/891 + (16795582*s[52])/891 - (82907932*s[53])/891 + 
       (1398448*s[54])/297 - (58208786*s[55])/99 - (46649926*s[56])/297 + 
       (52854548*s[57])/297 - (748115026*s[58])/2673 + 
       (755249314*s[59])/2673 + (3838393363*s[60])/2673 - 
       (1810039232*s[61])/24057 - (64*s[66])/3 + (64*s[67])/3 - 
       (64*s[68])/3 + 64*s[69] - 64*s[70] - 16*s[71] + (320*s[72])/3 - 
       (448*s[73])/9 - (368*s[74])/3 + (368*s[75])/3 - (256*s[76])/3 + 
       (160*s[77])/9 + (1088*s[78])/9 + 2496*s[79] - (15760*s[80])/27 + 
       896*s[82] + (64*s[83])/3 + 1088*s[84] + (1664*s[85])/3) + 
     HPL[{0, 1}, 1 - w]*Qep[w, v, u]*((944*s[2])/9 - (712*s[3])/9 + 
       (89692*s[4])/9 + (663860*s[5])/99 + (1669892*s[6])/99 + 
       (138888496*s[7])/891 - (11514328*s[8])/891 - (10687892*s[9])/81 - 
       (3220696*s[10])/81 - (1891182*s[11])/11 - (56182438*s[12])/297 - 
       (101710568*s[13])/891 - (1695112*s[14])/99 - (16633300*s[15])/81 - 
       (233096048*s[16])/891 - (176714710*s[17])/891 - (2286568*s[18])/81 - 
       (204028*s[19])/9 - (273646688*s[20])/891 - (295201972*s[21])/2673 + 
       (220280332*s[22])/2673 + (167248282*s[23])/891 + 
       (451167430*s[24])/2673 - (5295036388*s[25])/24057 + 
       (2873623612*s[26])/24057 + (256*s[30])/9 + (448*s[31])/9 - 
       (208*s[32])/9 + (32*s[33])/3 - (800*s[34])/9 - 96*s[35] - 
       (11936*s[36])/27 + (14344*s[37])/27 + (52144*s[38])/9 - 23424*s[39] + 
       (709856*s[40])/27 - (186616*s[41])/9 + (916744*s[42])/27 + 
       (6060064*s[43])/297 - (6501544*s[44])/297 + (6494044*s[45])/297 - 
       (52915844*s[46])/297 + (6891356*s[47])/891 + (2463020*s[48])/891 - 
       (82724804*s[49])/891 + (40705960*s[50])/297 + (20767204*s[51])/891 + 
       (16589896*s[52])/891 - (84042364*s[53])/891 + (1030024*s[54])/297 - 
       (19656572*s[55])/33 - (46740556*s[56])/297 + (51805112*s[57])/297 - 
       (750492376*s[58])/2673 + (760959652*s[59])/2673 + 
       (3892813240*s[60])/2673 - (1815003722*s[61])/24057 - (64*s[66])/3 + 
       (64*s[67])/3 - (64*s[68])/3 + 64*s[69] - (64*s[70])/3 - 16*s[71] + 
       (320*s[72])/3 - (448*s[73])/9 - (368*s[74])/3 + (368*s[75])/3 - 
       (256*s[76])/3 - (224*s[77])/9 + (1088*s[78])/9 + 2496*s[79] - 
       (15760*s[80])/27 + 1280*s[82] + (64*s[83])/3 + 1088*s[84] + 
       (1664*s[85])/3) + HPL[{0, 1}, 1 - u]*Qep[v, w, u]*
      (112*s[2] + 296*s[3] + (19028*s[4])/3 + (178636*s[5])/33 + 
       (424792*s[6])/33 + (33538160*s[7])/297 - (8152772*s[8])/891 - 
       (7722952*s[9])/81 - (2431352*s[10])/81 - (36714460*s[11])/297 - 
       (40015100*s[12])/297 - (23793056*s[13])/297 - (5033680*s[14])/297 - 
       (4050868*s[15])/27 - (56664908*s[16])/297 - (14675872*s[17])/99 - 
       (5427608*s[18])/243 - (3658492*s[19])/243 - (607857304*s[20])/2673 - 
       (225041200*s[21])/2673 + (158263784*s[22])/2673 + 
       (38843872*s[23])/297 + (324596216*s[24])/2673 - 
       (3743681242*s[25])/24057 + (2107098094*s[26])/24057 + (32*s[30])/3 + 
       (128*s[31])/3 - 16*s[32] - 16*s[33] - 32*s[34] - 32*s[35] - 
       (2048*s[36])/9 + (3080*s[37])/9 + (10832*s[38])/3 - (45448*s[39])/3 + 
       (152024*s[40])/9 - 13168*s[41] + (198064*s[42])/9 + 
       (1261384*s[43])/99 - (1367758*s[44])/99 + (1523732*s[45])/99 - 
       (1319284*s[46])/11 + (1694762*s[47])/297 + (287906*s[48])/297 - 
       (17401118*s[49])/297 + (9048496*s[50])/99 + (4497010*s[51])/297 + 
       (3656278*s[52])/297 - (700012*s[53])/11 + (114416*s[54])/33 - 
       (4444910*s[55])/11 - (32637010*s[56])/297 + (103951516*s[57])/891 - 
       (509416526*s[58])/2673 + (510736142*s[59])/2673 + 
       (864587755*s[60])/891 - (1294007624*s[61])/24057 - (64*s[66])/3 + 
       (64*s[67])/3 + (64*s[68])/3 + (64*s[69])/3 - (64*s[70])/3 + 
       (16*s[71])/3 + 64*s[72] + (64*s[73])/3 - (208*s[74])/3 + 
       (208*s[75])/3 - (128*s[76])/3 + (32*s[77])/3 + (320*s[78])/3 + 
       (3776*s[79])/3 - (3728*s[80])/9 + 2752*s[82] - 32*s[83] + 512*s[84] + 
       640*s[85]) + HPL[{0, 1}, 1 - u]*Qep[w, u, v]*
      ((1136*s[2])/9 + (968*s[3])/9 + (50212*s[4])/9 + (503468*s[5])/99 + 
       (1172608*s[6])/99 + (10622668*s[7])/99 - (7095068*s[8])/891 - 
       (7398472*s[9])/81 - (2437232*s[10])/81 - (34829128*s[11])/297 - 
       (37687196*s[12])/297 - (22355500*s[13])/297 - (5474992*s[14])/297 - 
       (3880256*s[15])/27 - (54121744*s[16])/297 - (42508324*s[17])/297 - 
       (4976420*s[18])/243 - (3759688*s[19])/243 - (586783228*s[20])/2673 - 
       (216341596*s[21])/2673 + (151399748*s[22])/2673 + 
       (33683960*s[23])/297 + (315514868*s[24])/2673 - 
       (3525855946*s[25])/24057 + (1992974614*s[26])/24057 + (64*s[30])/9 + 
       (320*s[31])/9 - (224*s[32])/9 + (16*s[33])/9 - (416*s[34])/9 - 
       (992*s[35])/9 - (2144*s[36])/9 + (944*s[37])/3 + (9728*s[38])/3 - 
       (118880*s[39])/9 + (134656*s[40])/9 - (106048*s[41])/9 + 
       (170704*s[42])/9 + (1168352*s[43])/99 - (1263404*s[44])/99 + 
       (1428056*s[45])/99 - (3646040*s[46])/33 + (1198228*s[47])/297 + 
       (799060*s[48])/297 - (16208956*s[49])/297 + (8445488*s[50])/99 + 
       (3921668*s[51])/297 + (3112172*s[52])/297 - (17416144*s[53])/297 + 
       (79696*s[54])/99 - (111287956*s[55])/297 - (29769220*s[56])/297 + 
       (82995016*s[57])/891 - (457873700*s[58])/2673 + 
       (459785228*s[59])/2673 + (811290518*s[60])/891 - 
       (1184087588*s[61])/24057 - (64*s[66])/3 + (64*s[67])/3 + 
       (64*s[68])/3 + (64*s[69])/3 + (64*s[70])/3 + (448*s[72])/9 - 
       (64*s[73])/3 - (592*s[74])/9 + (592*s[75])/9 - (256*s[76])/9 - 
       (32*s[77])/3 + (704*s[78])/9 + (4096*s[79])/3 - (3680*s[80])/9 + 
       2944*s[82] + (32*s[83])/3 + (1856*s[84])/3 + (2048*s[85])/3) + 
     HPL[{0, 1}, 1 - v]*Qep[u, w, v]*(192*s[2] + (544*s[3])/9 + 
       (105160*s[4])/9 + (868640*s[5])/99 + (2122108*s[6])/99 + 
       (172957106*s[7])/891 - (4682336*s[8])/297 - (4444352*s[9])/27 - 
       (1351508*s[10])/27 - (63361820*s[11])/297 - (23140586*s[12])/99 - 
       (125342362*s[13])/891 - (7239938*s[14])/297 - (20746286*s[15])/81 - 
       (289993864*s[16])/891 - (221528396*s[17])/891 - (8917948*s[18])/243 - 
       (6427952*s[19])/243 - (1030491476*s[20])/2673 - 
       (376502734*s[21])/2673 + (91268246*s[22])/891 + 
       (204931190*s[23])/891 + (185856430*s[24])/891 - 
       (6523483042*s[25])/24057 + (3604502170*s[26])/24057 + (160*s[30])/9 + 
       (832*s[31])/9 - (176*s[32])/3 + (56*s[33])/3 - (1696*s[34])/9 - 
       (448*s[35])/3 - (14752*s[36])/27 + (18728*s[37])/27 + 
       (63536*s[38])/9 - (85048*s[39])/3 + (856408*s[40])/27 - 
       (224768*s[41])/9 + (1104752*s[42])/27 + (7434344*s[43])/297 - 
       (7809920*s[44])/297 + (8405516*s[45])/297 - (66135340*s[46])/297 + 
       (8383204*s[47])/891 + (3027964*s[48])/891 - (100559452*s[49])/891 + 
       (50754296*s[50])/297 + (25001348*s[51])/891 + (20358296*s[52])/891 - 
       (105505724*s[53])/891 + (1512536*s[54])/297 - (74366596*s[55])/99 - 
       (59240420*s[56])/297 + (61131728*s[57])/297 - (933474848*s[58])/2673 + 
       (945755108*s[59])/2673 + (4862204516*s[60])/2673 - 
       (2322094678*s[61])/24057 - (64*s[66])/3 + (64*s[67])/3 - 
       (64*s[68])/3 + 64*s[69] - (128*s[70])/3 - (80*s[71])/3 + 128*s[72] - 
       (128*s[73])/9 - 128*s[74] + 128*s[75] - (320*s[76])/3 - (64*s[77])/9 + 
       (1216*s[78])/9 + (7744*s[79])/3 - (13136*s[80])/27 + 1536*s[82] - 
       (64*s[83])/3 + 1088*s[84] + (2176*s[85])/3) + 
     HPL[{0, 1}, 1 - w]*Qep[u, w, v]*((736*s[2])/9 + (976*s[3])/9 + 
       (94496*s[4])/9 + (679996*s[5])/99 + (1782316*s[6])/99 + 
       (146698220*s[7])/891 - (11937004*s[8])/891 - (11283068*s[9])/81 - 
       (3429388*s[10])/81 - (54041860*s[11])/297 - (59561488*s[12])/297 - 
       (108025396*s[13])/891 - (5454928*s[14])/297 - (17463200*s[15])/81 - 
       (245851228*s[16])/891 - (185462720*s[17])/891 - (7302416*s[18])/243 - 
       (5817508*s[19])/243 - (868378036*s[20])/2673 - (11573720*s[21])/99 + 
       (232654900*s[22])/2673 + (174700004*s[23])/891 + 
       (477220984*s[24])/2673 - (1866507598*s[25])/8019 + 
       (1015033222*s[26])/8019 + (224*s[30])/9 + (320*s[31])/9 - 
       (272*s[32])/9 - (40*s[33])/3 - (736*s[34])/9 - 128*s[35] - 
       (13024*s[36])/27 + (10184*s[37])/27 + (55664*s[38])/9 - 
       (72856*s[39])/3 + (740344*s[40])/27 - (194816*s[41])/9 + 
       (941168*s[42])/27 + (6483656*s[43])/297 - (6870266*s[44])/297 + 
       (7200260*s[45])/297 - (56904388*s[46])/297 + (6487462*s[47])/891 + 
       (4163998*s[48])/891 - (88265362*s[49])/891 + (43819760*s[50])/297 + 
       (21428078*s[51])/891 + (17287874*s[52])/891 - (89964284*s[53])/891 + 
       (705104*s[54])/297 - (63591926*s[55])/99 - (50516506*s[56])/297 + 
       (157075196*s[57])/891 - (267180082*s[58])/891 + 
       (270044498*s[59])/891 + (4212840377*s[60])/2673 - 
       (1978983632*s[61])/24057 - (64*s[66])/3 + (64*s[67])/3 - 
       (64*s[68])/3 + 64*s[69] - (80*s[71])/3 + (256*s[72])/3 - 
       (512*s[73])/9 - (352*s[74])/3 + (352*s[75])/3 - 64*s[76] - 
       (256*s[77])/9 + (832*s[78])/9 + 2496*s[79] - (14096*s[80])/27 + 
       1792*s[82] + (128*s[83])/3 + 1216*s[84] + (2176*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      ((299*s[2])/4 + (2785*s[3])/8 + (13561*s[4])/16 + (80049*s[5])/44 + 
       (624119*s[6])/176 + (33633917*s[7])/1056 - (8103005*s[8])/4752 - 
       (726730*s[9])/27 - (2476429*s[10])/216 - (106366769*s[11])/3168 - 
       (3353366*s[12])/99 - (61076099*s[13])/3168 - (31816553*s[14])/3168 - 
       (13593937*s[15])/288 - (45079955*s[16])/792 - (160471991*s[17])/3168 - 
       (924007*s[18])/162 - (8295229*s[19])/1296 - (1003083457*s[20])/14256 - 
       (757883999*s[21])/28512 + (467900995*s[22])/28512 + 
       (3775813*s[23])/198 + (277663255*s[24])/7128 - 
       (5128658989*s[25])/128304 + (3135503257*s[26])/128304 - 24*s[30] + 
       7*s[31] + (21*s[32])/2 + (343*s[33])/8 + 28*s[34] + (201*s[35])/2 + 
       (121*s[36])/2 - (3011*s[37])/12 + (929*s[38])/2 - (2861*s[39])/2 + 
       (5470*s[40])/3 - (6117*s[41])/4 + (4865*s[42])/3 + (194569*s[43])/66 - 
       (1275905*s[44])/528 + (1496489*s[45])/264 - (2836709*s[46])/88 - 
       (1665161*s[47])/1584 + (6064231*s[48])/1584 - (20942473*s[49])/1584 + 
       (1719577*s[50])/66 + (1536347*s[51])/1584 + (919601*s[52])/1584 - 
       (209778*s[53])/11 - (38931*s[54])/22 - (67770169*s[55])/528 - 
       (48970175*s[56])/1584 - (51901805*s[57])/2376 - 
       (530694403*s[58])/14256 + (568088737*s[59])/14256 + 
       (2745801205*s[60])/9504 - (2178871093*s[61])/128304 + 36*s[70] - 
       10*s[71] + 5*s[72] + 15*s[73] + (95*s[74])/4 - (105*s[75])/4 - 
       5*s[76] - (77*s[77])/2 + 5*s[78] - 92*s[79] + (325*s[80])/6 + 
       3474*s[82] - 15*s[83] - 18*s[84] + 732*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      ((209*s[2])/4 + (3033*s[3])/8 + (8875*s[4])/16 + (161001*s[5])/88 + 
       (649895*s[6])/176 + (90771767*s[7])/3168 - (720625*s[8])/528 - 
       (72682*s[9])/3 - (31024*s[10])/3 - (31776815*s[11])/1056 - 
       (2635069*s[12])/88 - (54291595*s[13])/3168 - (11184047*s[14])/1056 - 
       (12167009*s[15])/288 - (5089154*s[16])/99 - (148283171*s[17])/3168 - 
       (566717*s[18])/108 - (2397931*s[19])/432 - (303820351*s[20])/4752 - 
       (233785957*s[21])/9504 + (46419503*s[22])/3168 + 
       (11774495*s[23])/792 + (13840925*s[24])/396 - (1509772169*s[25])/
        42768 + (947676413*s[26])/42768 - (29*s[30])/2 - 2*s[31] + 15*s[32] + 
       (103*s[33])/4 + (133*s[34])/2 + (201*s[35])/2 + (121*s[36])/2 - 
       (3011*s[37])/12 + (929*s[38])/2 - (2861*s[39])/2 + (5470*s[40])/3 - 
       (6117*s[41])/4 + (4865*s[42])/3 + (194569*s[43])/66 - 
       (1275905*s[44])/528 + (1496489*s[45])/264 - (2836709*s[46])/88 - 
       (1665161*s[47])/1584 + (6064231*s[48])/1584 - (20942473*s[49])/1584 + 
       (1719577*s[50])/66 + (1536347*s[51])/1584 + (919601*s[52])/1584 - 
       (209778*s[53])/11 - (38931*s[54])/22 - (67770169*s[55])/528 - 
       (48970175*s[56])/1584 - (51901805*s[57])/2376 - 
       (530694403*s[58])/14256 + (568088737*s[59])/14256 + 
       (2745801205*s[60])/9504 - (2178871093*s[61])/128304 + 36*s[70] - 
       10*s[71] + 5*s[72] + 15*s[73] + (95*s[74])/4 - (105*s[75])/4 - 
       5*s[76] - (77*s[77])/2 + 5*s[78] - 92*s[79] + (325*s[80])/6 + 
       3474*s[82] - 15*s[83] - 18*s[84] + 732*s[85]) + 
     HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - u]*(88*s[2] - 266*s[3] - 16614*s[4] - 
       (106327*s[5])/11 - (293905*s[6])/11 - (15488723*s[7])/66 + 
       (1827121*s[8])/99 + (1788914*s[9])/9 + (466279*s[10])/9 + 
       (17218681*s[11])/66 + (9680491*s[12])/33 + (12107885*s[13])/66 + 
       (1296421*s[14])/66 + (594071*s[15])/2 + (12476230*s[16])/33 + 
       (5957189*s[17])/22 + (1209784*s[18])/27 + (763829*s[19])/27 + 
       (133594979*s[20])/297 + (97849633*s[21])/594 - (73271963*s[22])/594 - 
       (9988736*s[23])/33 - (72190240*s[24])/297 + (901519736*s[25])/2673 - 
       (494295008*s[26])/2673 + 12*s[30] + 24*s[31] - 40*s[32] - 17*s[33] + 
       284*s[34] - 40*s[35] + 312*s[36] - 536*s[37] - 12616*s[38] + 
       39088*s[39] - 42984*s[40] + 33052*s[41] - 54232*s[42] - 
       (377020*s[43])/11 + (358515*s[44])/11 - (364542*s[45])/11 + 
       (2895358*s[46])/11 - (534683*s[47])/33 - (11699*s[48])/33 + 
       (4601417*s[49])/33 - (2106600*s[50])/11 - (1255355*s[51])/33 - 
       (1224793*s[52])/33 + (4275266*s[53])/33 - (242228*s[54])/11 + 
       (27696991*s[55])/33 + (7607279*s[56])/33 - (33453614*s[57])/99 + 
       (132079723*s[58])/297 - (131325037*s[59])/297 - 
       (416777969*s[60])/198 + (286355635*s[61])/2673 + 16*s[70] + 
       288*s[71] + 48*s[72] - 176*s[73] + 124*s[74] - 124*s[75] - 48*s[76] - 
       40*s[77] + 48*s[78] - 3936*s[79] - 280*s[80] + 17736*s[82] + 
       168*s[83] - 816*s[84] + 768*s[85]) + HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - w]*
      ((65*s[2])/2 - (3791*s[3])/4 + (29517*s[4])/8 - (7989*s[5])/22 + 
       (434647*s[6])/88 + (23456381*s[7])/528 - (6913877*s[8])/2376 - 
       (1034255*s[9])/27 - (1192483*s[10])/108 - (85691849*s[11])/1584 - 
       (25935949*s[12])/396 - (68384663*s[13])/1584 - (3552149*s[14])/1584 - 
       (6551809*s[15])/144 - (14031781*s[16])/198 - (60564023*s[17])/1584 - 
       (353014*s[18])/81 - (5761813*s[19])/648 - (604731157*s[20])/7128 - 
       (357942491*s[21])/14256 + (360227311*s[22])/14256 + 
       (7318001*s[23])/198 + (201864007*s[24])/3564 - 
       (4600918279*s[25])/64152 + (2167888267*s[26])/64152 - 56*s[30] - 
       66*s[31] + 19*s[32] - (393*s[33])/4 + 196*s[34] + 25*s[35] + 
       87*s[36] - (761*s[37])/6 + 2851*s[38] - (15971*s[39])/2 + 
       (21469*s[40])/2 - 8636*s[41] + (21437*s[42])/2 + (17919*s[43])/2 - 
       (78625*s[44])/8 + (73597*s[45])/12 - (691333*s[46])/12 - 
       (167*s[47])/8 + (72277*s[48])/8 - (326435*s[49])/8 + 45457*s[50] + 
       (196735*s[51])/24 + (53455*s[52])/8 - (418927*s[53])/18 - 
       (16252*s[54])/3 - (3893111*s[55])/24 - (3192029*s[56])/72 + 
       (8643139*s[57])/108 - (62934337*s[58])/648 + (58863115*s[59])/648 + 
       (77189521*s[60])/144 - (112719751*s[61])/5832 + 72*s[62] + 4*s[64] + 
       36*s[65] + 64*s[66] - 72*s[67] + 24*s[68] - 184*s[69] + 388*s[70] - 
       48*s[71] - 178*s[72] - 62*s[73] + (83*s[74])/2 - (179*s[75])/2 + 
       130*s[76] - 347*s[77] - 338*s[78] + 3272*s[79] - (3131*s[80])/3 - 
       2*s[81] + 3504*s[82] - 288*s[83] + 1080*s[84] + 768*s[85]) + 
     HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - v]*((-117*s[2])/2 - (75*s[3])/4 + 
       (37667*s[4])/8 + (9719*s[5])/44 + (541471*s[6])/88 + 
       (30361493*s[7])/528 - (9520673*s[8])/2376 - (1316756*s[9])/27 - 
       (424366*s[10])/27 - (106659365*s[11])/1584 - (7776322*s[12])/99 - 
       (80925839*s[13])/1584 - (1890497*s[14])/1584 - (9543481*s[15])/144 - 
       (37241645*s[16])/396 - (93024467*s[17])/1584 - (1246973*s[18])/162 - 
       (7270249*s[19])/648 - (774381985*s[20])/7128 - 
       (491727275*s[21])/14256 + (449599795*s[22])/14256 + 
       (25599325*s[23])/396 + (60926821*s[24])/891 - (5735213065*s[25])/
        64152 + (2799555049*s[26])/64152 + 192*s[29] - 33*s[30] + 32*s[31] + 
       12*s[32] - 144*s[33] + 241*s[34] + 25*s[35] + 87*s[36] - 
       (761*s[37])/6 + 2851*s[38] - (15971*s[39])/2 + (21469*s[40])/2 - 
       8636*s[41] + (21437*s[42])/2 + (17919*s[43])/2 - (78625*s[44])/8 + 
       (73597*s[45])/12 - (691333*s[46])/12 - (167*s[47])/8 + 
       (72277*s[48])/8 - (326435*s[49])/8 + 45457*s[50] + (196735*s[51])/24 + 
       (53455*s[52])/8 - (418927*s[53])/18 - (16252*s[54])/3 - 
       (3893111*s[55])/24 - (3192029*s[56])/72 + (8643139*s[57])/108 - 
       (62934337*s[58])/648 + (58863115*s[59])/648 + (77189521*s[60])/144 - 
       (112719751*s[61])/5832 + 72*s[62] + 4*s[64] + 36*s[65] + 64*s[66] - 
       72*s[67] + 24*s[68] - 184*s[69] + 388*s[70] - 48*s[71] - 178*s[72] - 
       62*s[73] + (83*s[74])/2 - (179*s[75])/2 + 130*s[76] - 347*s[77] - 
       338*s[78] + 3272*s[79] - (3131*s[80])/3 - 2*s[81] + 3504*s[82] - 
       288*s[83] + 1080*s[84] + 768*s[85]) + 
     HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - w]*(17*s[2] - (1661*s[3])/2 + 
       (18399*s[4])/4 + (2505*s[5])/22 + (270195*s[6])/44 + 
       (44544389*s[7])/792 - (1627159*s[8])/396 - (865705*s[9])/18 - 
       (125239*s[10])/9 - (5893555*s[11])/88 - (2628049*s[12])/33 - 
       (40915009*s[13])/792 - (219187*s[14])/88 - (4434911*s[15])/72 - 
       (17941159*s[16])/198 - (42281873*s[17])/792 - (116879*s[18])/18 - 
       (128957*s[19])/12 - (42424259*s[20])/396 - (78533267*s[21])/2376 + 
       (74474507*s[22])/2376 + (10574771*s[23])/198 + (20523760*s[24])/297 - 
       (473981333*s[25])/5346 + (228866171*s[26])/5346 - 48*s[30] - 
       68*s[31] + 24*s[32] - (179*s[33])/2 + 192*s[34] + 18*s[35] + 
       12*s[36] - (196*s[37])/3 + 3302*s[38] - (19477*s[39])/2 + 
       (25189*s[40])/2 - (20163*s[41])/2 + (26453*s[42])/2 + 
       (20977*s[43])/2 - (22549*s[44])/2 + (23659*s[45])/3 - 
       (425795*s[46])/6 + (4045*s[47])/6 + (26189*s[48])/3 - 
       (283627*s[49])/6 + 55638*s[50] + 9951*s[51] + (24526*s[52])/3 - 
       (276266*s[53])/9 - (14302*s[54])/3 - (625556*s[55])/3 - 
       (1012787*s[56])/18 + (4930817*s[57])/54 - (19080649*s[58])/162 + 
       (9101885*s[59])/81 + (23135819*s[60])/36 - (73508747*s[61])/2916 + 
       72*s[62] + 4*s[64] + 36*s[65] + 64*s[66] - 72*s[67] + 24*s[68] - 
       184*s[69] + 388*s[70] - 48*s[71] - 164*s[72] - 60*s[73] + 33*s[74] - 
       81*s[75] + 116*s[76] - 354*s[77] - 324*s[78] + 3296*s[79] - 
       (3032*s[80])/3 - 2*s[81] + 2928*s[82] - 276*s[83] + 1080*s[84] + 
       768*s[85]) + HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - v]*
      (-29*s[2] - (131*s[3])/2 + (20919*s[4])/4 + (21849*s[5])/22 + 
       (330119*s[6])/44 + (55272823*s[7])/792 - (5792021*s[8])/1188 - 
       (1604179*s[9])/27 - (511847*s[10])/27 - (63777125*s[11])/792 - 
       (9156338*s[12])/99 - (47028319*s[13])/792 - (2929841*s[14])/792 - 
       (5996249*s[15])/72 - (22710793*s[16])/198 - (19972969*s[17])/264 - 
       (820496*s[18])/81 - (4125157*s[19])/324 - (477114733*s[20])/3564 - 
       (315003131*s[21])/7128 + (270974515*s[22])/7128 + 
       (15299297*s[23])/198 + (72686492*s[24])/891 - (3388965607*s[25])/
        32076 + (1706640031*s[26])/32076 + 192*s[29] - 34*s[30] + 48*s[31] + 
       8*s[32] - 152*s[33] + 210*s[34] + 18*s[35] + 12*s[36] - 
       (196*s[37])/3 + 3302*s[38] - (19477*s[39])/2 + (25189*s[40])/2 - 
       (20163*s[41])/2 + (26453*s[42])/2 + (20977*s[43])/2 - 
       (22549*s[44])/2 + (23659*s[45])/3 - (425795*s[46])/6 + 
       (4045*s[47])/6 + (26189*s[48])/3 - (283627*s[49])/6 + 55638*s[50] + 
       9951*s[51] + (24526*s[52])/3 - (276266*s[53])/9 - (14302*s[54])/3 - 
       (625556*s[55])/3 - (1012787*s[56])/18 + (4930817*s[57])/54 - 
       (19080649*s[58])/162 + (9101885*s[59])/81 + (23135819*s[60])/36 - 
       (73508747*s[61])/2916 + 72*s[62] + 4*s[64] + 36*s[65] + 64*s[66] - 
       72*s[67] + 24*s[68] - 184*s[69] + 388*s[70] - 48*s[71] - 164*s[72] - 
       60*s[73] + 33*s[74] - 81*s[75] + 116*s[76] - 354*s[77] - 324*s[78] + 
       3296*s[79] - (3032*s[80])/3 - 2*s[81] + 2928*s[82] - 276*s[83] + 
       1080*s[84] + 768*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[w, v, u]*
      ((448*s[2])/3 + (3304*s[3])/9 + 9676*s[4] + (713864*s[5])/99 + 
       (593828*s[6])/33 + (48160936*s[7])/297 - (34595944*s[8])/2673 - 
       (33304796*s[9])/243 - (10527652*s[10])/243 - (158700428*s[11])/891 - 
       (173257516*s[12])/891 - (103743572*s[13])/891 - (19345496*s[14])/891 - 
       (17442208*s[15])/81 - (244061900*s[16])/891 - (188238500*s[17])/891 - 
       (22076596*s[18])/729 - (17293700*s[19])/729 - (2599168508*s[20])/
        8019 - (944388920*s[21])/8019 + (684256216*s[22])/8019 + 
       (165628252*s[23])/891 + (1419521644*s[24])/8019 - 
       (16308594140*s[25])/72171 + (8999168900*s[26])/72171 + (64*s[30])/9 + 
       (128*s[31])/3 - (112*s[32])/9 - (64*s[33])/9 - (256*s[34])/9 - 
       (128*s[35])/9 - (3088*s[36])/9 + (8576*s[37])/27 + (50192*s[38])/9 - 
       22492*s[39] + (228556*s[40])/9 - (180836*s[41])/9 + (290996*s[42])/9 + 
       (673532*s[43])/33 - (2127260*s[44])/99 + (7077032*s[45])/297 - 
       (54652940*s[46])/297 + (221284*s[47])/33 + (462464*s[48])/99 - 
       (9199636*s[49])/99 + (14062192*s[50])/99 + (6652648*s[51])/297 + 
       (1757704*s[52])/99 - (87454924*s[53])/891 + (634768*s[54])/297 - 
       (185313296*s[55])/297 - (146495420*s[56])/891 + 
       (410849636*s[57])/2673 - (2274247576*s[58])/8019 + 
       (2301779152*s[59])/8019 + (1349110946*s[60])/891 - 
       (5827598836*s[61])/72171 - (64*s[68])/3 + (64*s[69])/3 - 16*s[71] + 
       (256*s[72])/3 - (832*s[74])/9 + (832*s[75])/9 - (256*s[76])/3 - 
       (320*s[77])/9 + (512*s[78])/9 + (18752*s[79])/9 - (13568*s[80])/27 + 
       (10496*s[82])/3 + 1024*s[84] + (3328*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[u, w, v]*((416*s[2])/3 + 
       (4544*s[3])/9 + (29872*s[4])/3 + (732832*s[5])/99 + (205680*s[6])/11 + 
       (5543888*s[7])/33 - (35493224*s[8])/2673 - (34508176*s[9])/243 - 
       (10965008*s[10])/243 - (164440996*s[11])/891 - (179461424*s[12])/891 - 
       (107443168*s[13])/891 - (20308312*s[14])/891 - (18059864*s[15])/81 - 
       (252916600*s[16])/891 - (195037660*s[17])/891 - (22938644*s[18])/729 - 
       (17955292*s[19])/729 - (2697364816*s[20])/8019 - 
       (980204008*s[21])/8019 + (708808076*s[22])/8019 + 
       (170317364*s[23])/891 + (1471160144*s[24])/8019 - 
       (16890642064*s[25])/72171 + (9333056980*s[26])/72171 + (128*s[30])/9 + 
       (128*s[31])/3 - (176*s[32])/9 + (136*s[33])/9 - (416*s[34])/9 - 
       (256*s[35])/9 - (1136*s[36])/3 + (6496*s[37])/27 + (51952*s[38])/9 - 
       (68980*s[39])/3 + 25996*s[40] - (185620*s[41])/9 + (98668*s[42])/3 + 
       (2116340*s[43])/99 - (734944*s[44])/33 + (7626328*s[45])/297 - 
       (57650044*s[46])/297 + (1882744*s[47])/297 + (1774372*s[48])/297 - 
       (28856824*s[49])/297 + (14864752*s[50])/99 + (6791644*s[51])/297 + 
       (5380604*s[52])/297 - (92389436*s[53])/891 + (350000*s[54])/297 - 
       (196545220*s[55])/297 - (154985176*s[56])/891 + 
       (402317068*s[57])/2673 - (2377901060*s[58])/8019 + 
       (2406461444*s[59])/8019 + (476486236*s[60])/297 - 
       (6206293064*s[61])/72171 - (64*s[68])/3 + (64*s[69])/3 + 
       (64*s[70])/3 - (80*s[71])/3 + (256*s[72])/3 - (800*s[74])/9 + 
       (800*s[75])/9 - (256*s[76])/3 - (448*s[77])/9 + (448*s[78])/9 + 
       (17728*s[79])/9 - (9856*s[80])/27 + (11968*s[82])/3 + 1024*s[84] + 
       (3584*s[85])/3) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[v, u, w]*
      ((544*s[2])/3 + 456*s[3] + (29876*s[4])/3 + (249872*s[5])/33 + 
       (633044*s[6])/33 + (5655124*s[7])/33 - (12036344*s[8])/891 - 
       (11720428*s[9])/81 - (3787724*s[10])/81 - (55875976*s[11])/297 - 
       (60820544*s[12])/297 - (36449656*s[13])/297 - (7166404*s[14])/297 - 
       (6158660*s[15])/27 - (86214604*s[16])/297 - (66920464*s[17])/297 - 
       (7678856*s[18])/243 - (6298672*s[19])/243 - (918391660*s[20])/2673 - 
       (333922324*s[21])/2673 + (240817904*s[22])/2673 + 
       (56467148*s[23])/297 + (504422192*s[24])/2673 - 
       (5730057964*s[25])/24057 + (3168421984*s[26])/24057 + (128*s[31])/3 - 
       (32*s[32])/3 - (56*s[33])/3 - (32*s[34])/3 - (128*s[35])/3 - 
       (3200*s[36])/9 + (2240*s[37])/9 + 5792*s[38] - (69296*s[39])/3 + 
       (235280*s[40])/9 - 20768*s[41] + (296896*s[42])/9 + 
       (2146480*s[43])/99 - (2237392*s[44])/99 + (2590832*s[45])/99 - 
       (6516416*s[46])/33 + (1822112*s[47])/297 + (1933520*s[48])/297 - 
       (29393888*s[49])/297 + (15172048*s[50])/99 + (6772768*s[51])/297 + 
       (5322304*s[52])/297 - (10482848*s[53])/99 + (3472*s[54])/11 - 
       (66941392*s[55])/99 - (52454752*s[56])/297 + (129291136*s[57])/891 - 
       (799820720*s[58])/2673 + (811225808*s[59])/2673 + 
       (1459426888*s[60])/891 - (2103322424*s[61])/24057 - (64*s[68])/3 + 
       (64*s[69])/3 + (128*s[70])/3 - (64*s[71])/3 + (256*s[72])/3 - 
       (256*s[74])/3 + (256*s[75])/3 - (256*s[76])/3 - 64*s[77] + 
       (128*s[78])/3 + 2048*s[79] - (3968*s[80])/9 + 4480*s[82] + 
       1024*s[84] + 1280*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1}, 
       1 - w]*(161*s[2] + 356*s[3] - 2678*s[4] + (89065*s[5])/44 + 
       (85577*s[6])/44 + (1392031*s[7])/132 + (958241*s[8])/396 - 
       (341855*s[9])/36 - (390061*s[10])/36 - (1239341*s[11])/132 - 
       (461755*s[12])/132 + (34033*s[13])/66 - (1321213*s[14])/66 - 
       (46739*s[15])/2 - (3651115*s[16])/132 - (415713*s[17])/11 - 
       (170665*s[18])/108 - (320155*s[19])/54 - (24947515*s[20])/594 - 
       (23300495*s[21])/1188 + (3163025*s[22])/594 - (5456845*s[23])/132 + 
       (28558297*s[24])/1188 - (60482911*s[25])/21384 + 
       (192613495*s[26])/21384 + 3*s[28] - 50*s[30] - 18*s[31] + 51*s[32] - 
       143*s[33] + 168*s[34] + 6*s[35] + 221*s[36] - (1113*s[37])/2 - 
       1047*s[38] + (20791*s[39])/4 - (21075*s[40])/4 + (14577*s[41])/4 - 
       (36145*s[42])/4 - (2923*s[43])/4 + (14727*s[44])/8 + (17721*s[45])/4 - 
       (14819*s[46])/2 - (141133*s[47])/24 + (234101*s[48])/24 - 
       (569*s[49])/24 + (18979*s[50])/2 - (56749*s[51])/8 - 
       (158897*s[52])/24 - (21776*s[53])/3 - (23967*s[54])/2 - 
       (1563337*s[55])/24 - (74381*s[56])/8 - (313123*s[57])/3 + 
       (135803*s[58])/8 - (304765*s[59])/24 + (18892181*s[60])/144 - 
       (781823*s[61])/81 + 4*s[64] + 3*s[65] + 4*s[66] - 12*s[67] - 4*s[69] + 
       140*s[70] - 3*s[71] - 124*s[72] + 140*s[73] + 108*s[74] - 50*s[75] + 
       106*s[76] - 78*s[77] - 92*s[78] - 1104*s[79] + 195*s[80] + 
       10368*s[82] + 84*s[83] - 192*s[84] + 1536*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 1 - v]*
      (-29*s[2] + (2477*s[3])/2 - (4393*s[4])/4 + (17623*s[5])/22 + 
       (38591*s[6])/44 + (2050691*s[7])/264 + (484585*s[8])/396 - 
       (93281*s[9])/18 - (83909*s[10])/9 - (1792145*s[11])/264 - 
       (91694*s[12])/33 + (84111*s[13])/88 - (2858657*s[14])/264 - 
       (155211*s[15])/8 - (248528*s[16])/11 - (7825915*s[17])/264 - 
       (22616*s[18])/27 - (732061*s[19])/108 - (34486465*s[20])/1188 - 
       (29140379*s[21])/2376 + (7545187*s[22])/2376 - (514727*s[23])/22 + 
       (11465455*s[24])/594 - (20564573*s[25])/5346 + (32446643*s[26])/5346 - 
       30*s[30] - 100*s[31] + 89*s[32] - (253*s[33])/2 + 270*s[34] + 
       6*s[35] + 221*s[36] - (1113*s[37])/2 - 1047*s[38] + (20791*s[39])/4 - 
       (21075*s[40])/4 + (14577*s[41])/4 - (36145*s[42])/4 - (2923*s[43])/4 + 
       (14727*s[44])/8 + (17721*s[45])/4 - (14819*s[46])/2 - 
       (141133*s[47])/24 + (234101*s[48])/24 - (569*s[49])/24 + 
       (18979*s[50])/2 - (56749*s[51])/8 - (158897*s[52])/24 - 
       (21776*s[53])/3 - (23967*s[54])/2 - (1563337*s[55])/24 - 
       (74381*s[56])/8 - (313123*s[57])/3 + (135803*s[58])/8 - 
       (304765*s[59])/24 + (18892181*s[60])/144 - (781823*s[61])/81 + 
       4*s[64] + 3*s[65] + 4*s[66] - 12*s[67] - 4*s[69] + 140*s[70] - 
       3*s[71] - 124*s[72] + 140*s[73] + 108*s[74] - 50*s[75] + 106*s[76] - 
       78*s[77] - 92*s[78] - 1104*s[79] + 195*s[80] + 10368*s[82] + 
       84*s[83] - 192*s[84] + 1536*s[85]) + HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - w]*
      (190*s[2] + 571*s[3] - (15197*s[4])/2 - (29840*s[5])/11 - 
       (138546*s[6])/11 - (3746881*s[7])/44 + (2185060*s[8])/297 + 
       (3981145*s[9])/54 + (366892*s[10])/27 + (9478784*s[11])/99 + 
       (43059259*s[12])/396 + (29163599*s[13])/396 - (302161*s[14])/396 + 
       (3838135*s[15])/36 + (12962669*s[16])/99 + (8847233*s[17])/99 + 
       (2336207*s[18])/162 + (625406*s[19])/81 + (132330035*s[20])/891 + 
       (195673871*s[21])/3564 - (160481983*s[22])/3564 - 
       (55179457*s[23])/396 - (303941701*s[24])/3564 + 
       (4132467131*s[25])/32076 - (2213614409*s[26])/32076 - 24*s[28] - 
       384*s[29] - 40*s[30] - 312*s[31] + 12*s[32] + 911*s[33] - 96*s[34] + 
       687*s[35] - 52*s[36] - (1886*s[37])/3 - 4196*s[38] + 11829*s[39] - 
       13533*s[40] + 10399*s[41] - 18035*s[42] - 8757*s[43] + 
       (14941*s[44])/2 - (14494*s[45])/3 + (157627*s[46])/3 - 6666*s[47] + 
       4369*s[48] + 20085*s[49] - 27073*s[50] - 14722*s[51] - 
       (30131*s[52])/2 + (166766*s[53])/9 - (102794*s[54])/3 + 126513*s[55] + 
       (606337*s[56])/9 - (4840462*s[57])/27 + (10103438*s[58])/81 - 
       (9220295*s[59])/81 - (6064319*s[60])/18 + (32406391*s[61])/1458 - 
       16*s[64] - 96*s[65] - 112*s[66] + 192*s[67] - 48*s[68] + 352*s[69] - 
       608*s[70] + 264*s[71] - 56*s[72] - 8*s[73] - 42*s[74] - 22*s[75] + 
       104*s[76] + 732*s[77] + 200*s[78] - 3584*s[79] + (1304*s[80])/3 + 
       4*s[81] + 16008*s[82] + 168*s[83] - 816*s[84] + 1632*s[85]) + 
     HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - v]*(-22*s[2] - 439*s[3] - (4881*s[4])/2 + 
       (5783*s[5])/11 - (76548*s[6])/11 - (949645*s[7])/132 + 
       (830590*s[8])/297 + (403495*s[9])/54 - (357416*s[10])/27 + 
       (2013613*s[11])/198 + (8452795*s[12])/396 + (6279545*s[13])/396 + 
       (1004753*s[14])/396 - (483407*s[15])/36 - (825346*s[16])/99 - 
       (6047435*s[17])/198 + (1965791*s[18])/162 - (1808863*s[19])/81 + 
       (6171119*s[20])/891 + (23947685*s[21])/3564 - (14731297*s[22])/3564 - 
       (30772057*s[23])/396 + (83249339*s[24])/3564 + 
       (440833007*s[25])/32076 - (395244173*s[26])/32076 - 1236*s[30] - 
       80*s[31] - 56*s[32] - 148*s[33] + 252*s[34] + 687*s[35] - 52*s[36] - 
       (1886*s[37])/3 - 4196*s[38] + 11829*s[39] - 13533*s[40] + 
       10399*s[41] - 18035*s[42] - 8757*s[43] + (14941*s[44])/2 - 
       (14494*s[45])/3 + (157627*s[46])/3 - 6666*s[47] + 4369*s[48] + 
       20085*s[49] - 27073*s[50] - 14722*s[51] - (30131*s[52])/2 + 
       (166766*s[53])/9 - (102794*s[54])/3 + 126513*s[55] + 
       (606337*s[56])/9 - (4840462*s[57])/27 + (10103438*s[58])/81 - 
       (9220295*s[59])/81 - (6064319*s[60])/18 + (32406391*s[61])/1458 - 
       16*s[64] - 96*s[65] - 112*s[66] + 192*s[67] - 48*s[68] + 352*s[69] - 
       608*s[70] + 264*s[71] - 56*s[72] - 8*s[73] - 42*s[74] - 22*s[75] + 
       104*s[76] + 732*s[77] + 200*s[78] - 3584*s[79] + (1304*s[80])/3 + 
       4*s[81] + 16008*s[82] + 168*s[83] - 816*s[84] + 1632*s[85]) + 
     HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - u]*(264*s[2] - 798*s[3] - 49842*s[4] - 
       (317421*s[5])/11 - (879045*s[6])/11 - (15453543*s[7])/22 + 
       (607857*s[8])/11 + 594990*s[9] + 154995*s[10] + (17183823*s[11])/22 + 
       (9661077*s[12])/11 + (12087563*s[13])/22 + (1274703*s[14])/22 + 
       (1778489*s[15])/2 + (12450301*s[16])/11 + (17831981*s[17])/22 + 
       (401212*s[18])/3 + (255365*s[19])/3 + (44410259*s[20])/33 + 
       (32520989*s[21])/66 - (8123825*s[22])/22 - (9975803*s[23])/11 - 
       (24023761*s[24])/33 + (299994232*s[25])/297 - (164415388*s[26])/297 + 
       36*s[30] + 72*s[31] - 120*s[32] - 51*s[33] + 852*s[34] - 120*s[35] + 
       936*s[36] - 1572*s[37] - 37848*s[38] + 117264*s[39] - 128952*s[40] + 
       99156*s[41] - 162696*s[42] - (1132656*s[43])/11 + (1076211*s[44])/11 - 
       (1090506*s[45])/11 + (8668878*s[46])/11 - (533895*s[47])/11 - 
       (10911*s[48])/11 + (4609085*s[49])/11 - (6307944*s[50])/11 - 
       (1252775*s[51])/11 - (1223281*s[52])/11 + (4268208*s[53])/11 - 
       (709144*s[54])/11 + (27637879*s[55])/11 + (7573075*s[56])/11 - 
       (11155198*s[57])/11 + (43937329*s[58])/33 - (43730227*s[59])/33 - 
       (138703255*s[60])/22 + (95005607*s[61])/297 + 48*s[70] + 864*s[71] + 
       144*s[72] - 528*s[73] + 372*s[74] - 372*s[75] - 144*s[76] - 
       120*s[77] + 144*s[78] - 11808*s[79] - 840*s[80] + 53280*s[82] + 
       504*s[83] - 2448*s[84] + 2304*s[85]) + 
     HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - v]*((131*s[2])/2 + (269*s[3])/4 + 
       (170715*s[4])/8 + (343479*s[5])/44 + (2919335*s[6])/88 + 
       (54900079*s[7])/176 - (53845097*s[8])/2376 - (7155974*s[9])/27 - 
       (2310064*s[10])/27 - (559820957*s[11])/1584 - (39442534*s[12])/99 - 
       (395455991*s[13])/1584 - (42242969*s[14])/1584 - 
       (55980145*s[15])/144 - (205440221*s[16])/396 - 
       (577613243*s[17])/1584 - (7975337*s[18])/162 - (35217553*s[19])/648 - 
       (4346255113*s[20])/7128 - (2968468595*s[21])/14256 + 
       (2394249595*s[22])/14256 + (135142765*s[23])/396 + 
       (319849819*s[24])/891 - (29368959337*s[25])/64152 + 
       (15262742953*s[26])/64152 + 576*s[29] - 105*s[30] + 192*s[31] + 
       28*s[32] - 464*s[33] + 569*s[34] - 31*s[35] - 133*s[36] + 
       (115*s[37])/6 + 13187*s[38] - (84625*s[39])/2 + (105043*s[40])/2 - 
       41875*s[41] + (116547*s[42])/2 + (956727*s[43])/22 - 
       (4084447*s[44])/88 + (5128787*s[45])/132 - (42992375*s[46])/132 + 
       (517879*s[47])/88 + (2523619*s[48])/88 - (17385453*s[49])/88 + 
       (2805563*s[50])/11 + (11277353*s[51])/264 + (3040305*s[52])/88 - 
       (30383249*s[53])/198 - (476120*s[54])/33 - (268852577*s[55])/264 - 
       (213517747*s[56])/792 + (414599969*s[57])/1188 - 
       (3721090463*s[58])/7128 + (3632721245*s[59])/7128 + 
       (4540002911*s[60])/1584 - (8089934213*s[61])/64152 + 216*s[62] + 
       4*s[64] + 108*s[65] + 208*s[66] - 216*s[67] + 72*s[68] - 568*s[69] + 
       1228*s[70] - 144*s[71] - 450*s[72] - 174*s[73] + (115*s[74])/2 - 
       (371*s[75])/2 + 306*s[76] - 1147*s[77] - 994*s[78] + 10952*s[79] - 
       (10007*s[80])/3 - 6*s[81] + 12240*s[82] - 792*s[83] + 3624*s[84] + 
       3072*s[85]) + HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - w]*
      ((137*s[2])/2 - (7631*s[3])/4 + (156877*s[4])/8 + (112657*s[5])/22 + 
       (2594639*s[6])/88 + (142854013*s[7])/528 - (48084173*s[8])/2376 - 
       (6212966*s[9])/27 - (7566199*s[10])/108 - (494359721*s[11])/1584 - 
       (142212553*s[12])/396 - (358447847*s[13])/1584 - 
       (35502629*s[14])/1584 - (46553329*s[15])/144 - (88279291*s[16])/198 - 
       (471835655*s[17])/1584 - (3057961*s[18])/81 - (31713877*s[19])/648 - 
       (3756470053*s[20])/7128 - (2479131227*s[21])/14256 + 
       (2099651359*s[22])/14256 + (53530415*s[23])/198 + 
       (1143890971*s[24])/3564 - (26083948075*s[25])/64152 + 
       (13246340623*s[26])/64152 - 120*s[30] - 210*s[31] + 103*s[32] - 
       (1145*s[33])/4 + 596*s[34] - 31*s[35] - 133*s[36] + (115*s[37])/6 + 
       13187*s[38] - (84625*s[39])/2 + (105043*s[40])/2 - 41875*s[41] + 
       (116547*s[42])/2 + (956727*s[43])/22 - (4084447*s[44])/88 + 
       (5128787*s[45])/132 - (42992375*s[46])/132 + (517879*s[47])/88 + 
       (2523619*s[48])/88 - (17385453*s[49])/88 + (2805563*s[50])/11 + 
       (11277353*s[51])/264 + (3040305*s[52])/88 - (30383249*s[53])/198 - 
       (476120*s[54])/33 - (268852577*s[55])/264 - (213517747*s[56])/792 + 
       (414599969*s[57])/1188 - (3721090463*s[58])/7128 + 
       (3632721245*s[59])/7128 + (4540002911*s[60])/1584 - 
       (8089934213*s[61])/64152 + 216*s[62] + 4*s[64] + 108*s[65] + 
       208*s[66] - 216*s[67] + 72*s[68] - 568*s[69] + 1228*s[70] - 
       144*s[71] - 450*s[72] - 174*s[73] + (115*s[74])/2 - (371*s[75])/2 + 
       306*s[76] - 1147*s[77] - 994*s[78] + 10952*s[79] - (10007*s[80])/3 - 
       6*s[81] + 12240*s[82] - 792*s[83] + 3624*s[84] + 3072*s[85]) + 
     HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - w]*(570*s[2] + 1713*s[3] - 
       (44931*s[4])/2 - (92790*s[5])/11 - (819669*s[6])/22 - 
       (11292557*s[7])/44 + (4344517*s[8])/198 + (2003182*s[9])/9 + 
       (377057*s[10])/9 + (38038213*s[11])/132 + (10775954*s[12])/33 + 
       (29101063*s[13])/132 - (175235*s[14])/132 + (3877769*s[15])/12 + 
       (13061242*s[16])/33 + (35863411*s[17])/132 + (1174340*s[18])/27 + 
       (1284101*s[19])/54 + (267451601*s[20])/594 + (198204235*s[21])/1188 - 
       (161422079*s[22])/1188 - (13718843*s[23])/33 - (76562480*s[24])/297 + 
       (2068064651*s[25])/5346 - (1111445975*s[26])/5346 - 72*s[28] - 
       1152*s[29] - 120*s[30] - 936*s[31] + 36*s[32] + 2589*s[33] - 
       288*s[34] + 2052*s[35] - 336*s[36] - 1884*s[37] - 12660*s[38] + 
       35541*s[39] - 40685*s[40] + 31131*s[41] - 54121*s[42] - 
       (291331*s[43])/11 + (248752*s[44])/11 - (162168*s[45])/11 + 
       (1742665*s[46])/11 - (659468*s[47])/33 + (434581*s[48])/33 + 
       (2051312*s[49])/33 - (915500*s[50])/11 - (1456879*s[51])/33 - 
       (1484785*s[52])/33 + (1869776*s[53])/33 - (1090872*s[54])/11 + 
       (4246003*s[55])/11 + (6570668*s[56])/33 - (52713605*s[57])/99 + 
       (110833774*s[58])/297 - (101524381*s[59])/297 - (101644828*s[60])/99 + 
       (353485481*s[61])/5346 - 48*s[64] - 288*s[65] - 336*s[66] + 
       576*s[67] - 144*s[68] + 1056*s[69] - 1824*s[70] + 792*s[71] - 
       168*s[72] - 24*s[73] - 126*s[74] - 66*s[75] + 312*s[76] + 2196*s[77] + 
       600*s[78] - 10752*s[79] + 1272*s[80] + 12*s[81] + 48096*s[82] + 
       504*s[83] - 2448*s[84] + 4896*s[85]) + 
     HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - v]*(-66*s[2] - 1173*s[3] - 
       (15171*s[4])/2 + (20250*s[5])/11 - (439321*s[6])/22 - 
       (2880113*s[7])/132 + (568175*s[8])/66 + (67655*s[9])/3 - 
       (117245*s[10])/3 + (1366509*s[11])/44 + (709792*s[12])/11 + 
       (6397981*s[13])/132 + (219897*s[14])/44 - (474181*s[15])/12 - 
       (806996*s[16])/33 - (12063691*s[17])/132 + (316289*s[18])/9 - 
       (1166191*s[19])/18 + (3756497*s[20])/198 + (787999*s[21])/44 - 
       (4957363*s[22])/396 - (7628807*s[23])/33 + (6713120*s[24])/99 + 
       (12780418*s[25])/297 - (10711570*s[26])/297 - 3516*s[30] - 240*s[31] - 
       168*s[32] - 444*s[33] + 756*s[34] + 2052*s[35] - 336*s[36] - 
       1884*s[37] - 12660*s[38] + 35541*s[39] - 40685*s[40] + 31131*s[41] - 
       54121*s[42] - (291331*s[43])/11 + (248752*s[44])/11 - 
       (162168*s[45])/11 + (1742665*s[46])/11 - (659468*s[47])/33 + 
       (434581*s[48])/33 + (2051312*s[49])/33 - (915500*s[50])/11 - 
       (1456879*s[51])/33 - (1484785*s[52])/33 + (1869776*s[53])/33 - 
       (1090872*s[54])/11 + (4246003*s[55])/11 + (6570668*s[56])/33 - 
       (52713605*s[57])/99 + (110833774*s[58])/297 - (101524381*s[59])/297 - 
       (101644828*s[60])/99 + (353485481*s[61])/5346 - 48*s[64] - 288*s[65] - 
       336*s[66] + 576*s[67] - 144*s[68] + 1056*s[69] - 1824*s[70] + 
       792*s[71] - 168*s[72] - 24*s[73] - 126*s[74] - 66*s[75] + 312*s[76] + 
       2196*s[77] + 600*s[78] - 10752*s[79] + 1272*s[80] + 12*s[81] + 
       48096*s[82] + 504*s[83] - 2448*s[84] + 4896*s[85]) + 
     HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - v]*(372*s[2] + 258*s[3] + 49317*s[4] + 
       (245568*s[5])/11 + (882195*s[6])/11 + (16580967*s[7])/22 - 
       (5468569*s[8])/99 - (5766002*s[9])/9 - (1861714*s[10])/9 - 
       (55947535*s[11])/66 - (31287988*s[12])/33 - (38855149*s[13])/66 - 
       (4977883*s[14])/66 - (5723639*s[15])/6 - (41505320*s[16])/33 - 
       (59722813*s[17])/66 - (3330838*s[18])/27 - (3436661*s[19])/27 - 
       (440814653*s[20])/297 - (305594473*s[21])/594 + 
       (240058601*s[22])/594 + (27084724*s[23])/33 + (255468646*s[24])/297 - 
       (2917837544*s[25])/2673 + (1538453084*s[26])/2673 + 1152*s[29] - 
       216*s[30] + 480*s[31] + 48*s[32] - 960*s[33] + 984*s[34] - 168*s[35] - 
       596*s[36] + 406*s[37] + 30576*s[38] - 101685*s[39] + 124001*s[40] - 
       98613*s[41] + 140953*s[42] + (1123939*s[43])/11 - (2386871*s[44])/22 + 
       (1064845*s[45])/11 - (8729360*s[46])/11 + (1155985*s[47])/66 + 
       (3861127*s[48])/66 - (30620707*s[49])/66 + (6823064*s[50])/11 + 
       (6762791*s[51])/66 + (5458385*s[52])/66 - (12691990*s[53])/33 - 
       (289956*s[54])/11 - (55671617*s[55])/22 - (14680559*s[56])/22 + 
       (26469776*s[57])/33 - (249372103*s[58])/198 + (245474899*s[59])/198 + 
       (2731118107*s[60])/396 - (31297393*s[61])/99 + 432*s[62] + 216*s[65] + 
       432*s[66] - 432*s[67] + 144*s[68] - 1152*s[69] + 2520*s[70] - 
       288*s[71] - 816*s[72] - 336*s[73] + 48*s[74] - 288*s[75] + 528*s[76] - 
       2400*s[77] - 1968*s[78] + 23040*s[79] - 6940*s[80] - 12*s[81] + 
       26208*s[82] - 1512*s[83] + 7632*s[84] + 6912*s[85]) + 
     HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - w]*(108*s[2] - 2880*s[3] + 47232*s[4] + 
       (175689*s[5])/11 + (800405*s[6])/11 + (22067528*s[7])/33 - 
       (5073071*s[8])/99 - (5105383*s[9])/9 - (1568045*s[10])/9 - 
       (25190446*s[11])/33 - (28689563*s[12])/33 - (17902085*s[13])/33 - 
       (1960561*s[14])/33 - (2459719*s[15])/3 - (36574547*s[16])/33 - 
       (8423663*s[17])/11 - (2666291*s[18])/27 - (3189664*s[19])/27 - 
       (388178986*s[20])/297 - (130462648*s[21])/297 + 
       (107198819*s[22])/297 + (22789231*s[23])/33 + (232075973*s[24])/297 - 
       (5298480233*s[25])/5346 + (2729836385*s[26])/5346 - 192*s[30] - 
       432*s[31] + 252*s[32] - 564*s[33] + 1200*s[34] - 168*s[35] - 
       596*s[36] + 406*s[37] + 30576*s[38] - 101685*s[39] + 124001*s[40] - 
       98613*s[41] + 140953*s[42] + (1123939*s[43])/11 - (2386871*s[44])/22 + 
       (1064845*s[45])/11 - (8729360*s[46])/11 + (1155985*s[47])/66 + 
       (3861127*s[48])/66 - (30620707*s[49])/66 + (6823064*s[50])/11 + 
       (6762791*s[51])/66 + (5458385*s[52])/66 - (12691990*s[53])/33 - 
       (289956*s[54])/11 - (55671617*s[55])/22 - (14680559*s[56])/22 + 
       (26469776*s[57])/33 - (249372103*s[58])/198 + (245474899*s[59])/198 + 
       (2731118107*s[60])/396 - (31297393*s[61])/99 + 432*s[62] + 216*s[65] + 
       432*s[66] - 432*s[67] + 144*s[68] - 1152*s[69] + 2520*s[70] - 
       288*s[71] - 816*s[72] - 336*s[73] + 48*s[74] - 288*s[75] + 528*s[76] - 
       2400*s[77] - 1968*s[78] + 23040*s[79] - 6940*s[80] - 12*s[81] + 
       26208*s[82] - 1512*s[83] + 7632*s[84] + 6912*s[85]) + 
     HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - u]*(-936*s[2] + 774*s[3] + 66423*s[4] + 
       (354423*s[5])/11 + (1135628*s[6])/11 + (21552363*s[7])/22 - 
       (7976504*s[8])/99 - (7454719*s[9])/9 - (2287277*s[10])/9 - 
       (72983063*s[11])/66 - (41086385*s[12])/33 - (50543399*s[13])/66 - 
       (5312201*s[14])/66 - (7414225*s[15])/6 - (53896471*s[16])/33 - 
       (77308019*s[17])/66 - (4541039*s[18])/27 - (4304725*s[19])/27 - 
       (568791919*s[20])/297 - (400773929*s[21])/594 + 
       (310232215*s[22])/594 + (37269185*s[23])/33 + (324191915*s[24])/297 - 
       (7597955033*s[25])/5346 + (4025616209*s[26])/5346 + 72*s[30] - 
       624*s[32] - 252*s[33] + 216*s[34] - 576*s[35] - 2184*s[36] - 
       380*s[37] + 42672*s[38] - 147822*s[39] + 171366*s[40] - 133998*s[41] + 
       208494*s[42] + (1473666*s[43])/11 - (1582491*s[44])/11 + 
       (1474270*s[45])/11 - (12083776*s[46])/11 + (479815*s[47])/11 + 
       (467341*s[48])/11 - (6830325*s[49])/11 + (9353072*s[50])/11 + 
       (1639893*s[51])/11 + (1331075*s[52])/11 - (17948168*s[53])/33 - 
       (364208*s[54])/11 - (38586793*s[55])/11 - (30416281*s[56])/33 + 
       (123356452*s[57])/99 - (530939141*s[58])/297 + (525588065*s[59])/297 + 
       (202928859*s[60])/22 - (1196502014*s[61])/2673 + 864*s[68] - 
       576*s[69] + 4032*s[70] - 144*s[71] + 672*s[73] - 408*s[74] + 
       504*s[75] + 1152*s[76] - 4608*s[77] + 19488*s[79] - 5752*s[80] + 
       26208*s[82] - 1512*s[83] + 7632*s[84] + 6912*s[85] - 432*s[86]) + 
     HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - u]*(-494*s[2] + (127*s[3])/2 + 
       (59519*s[4])/2 + (577591*s[5])/44 + (1978327*s[6])/44 + 
       (113510575*s[7])/264 - (42343655*s[8])/1188 - (19634831*s[9])/54 - 
       (11989325*s[10])/108 - (386239037*s[11])/792 - (218514755*s[12])/396 - 
       (270014177*s[13])/792 - (24767381*s[14])/792 - (38711431*s[15])/72 - 
       (283431121*s[16])/396 - (401108171*s[17])/792 - (5871740*s[18])/81 - 
       (22978129*s[19])/324 - (2983293817*s[20])/3564 - 
       (2089393181*s[21])/7128 + (1639100671*s[22])/7128 + 
       (197380757*s[23])/396 + (1712476577*s[24])/3564 - 
       (20149838299*s[25])/32076 + (10597490677*s[26])/32076 + 39*s[30] + 
       6*s[31] - 351*s[32] - (281*s[33])/4 + 83*s[34] - 250*s[35] - 
       1026*s[36] - (1019*s[37])/3 + 19382*s[38] - 66018*s[39] + 
       76864*s[40] - 60043*s[41] + 93108*s[42] + (659526*s[43])/11 - 
       (2847205*s[44])/44 + (3824093*s[45])/66 - (31879811*s[46])/66 + 
       (2510471*s[47])/132 + (2698967*s[48])/132 - (36797837*s[49])/132 + 
       (4120070*s[50])/11 + (8806375*s[51])/132 + (7127389*s[52])/132 - 
       (23400407*s[53])/99 - (618820*s[54])/33 - (201538247*s[55])/132 - 
       (158893585*s[56])/396 + (341098817*s[57])/594 - 
       (2826682517*s[58])/3564 + (2791386659*s[59])/3564 + 
       (3224800093*s[60])/792 - (6222479693*s[61])/32076 + 432*s[68] - 
       288*s[69] + 1984*s[70] - 72*s[71] + 12*s[72] + 212*s[73] - 173*s[74] + 
       229*s[75] + 564*s[76] - 2278*s[77] + 12*s[78] + 9232*s[79] - 
       (8086*s[80])/3 + 12240*s[82] - 792*s[83] + 3624*s[84] + 3072*s[85] - 
       216*s[86]) + HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - u]*
      (-182*s[2] - (389*s[3])/2 + (14853*s[4])/2 + (98119*s[5])/44 + 
       (449959*s[6])/44 + (26433091*s[7])/264 - (3384173*s[8])/396 - 
       (1525019*s[9])/18 - (912851*s[10])/36 - (30470675*s[11])/264 - 
       (17535137*s[12])/132 - (21983095*s[13])/264 - (1067699*s[14])/264 - 
       (969851*s[15])/8 - (21877463*s[16])/132 - (9821255*s[17])/88 - 
       (430799*s[18])/27 - (1841503*s[19])/108 - (228254839*s[20])/1188 - 
       (156484667*s[21])/2376 + (128624545*s[22])/2376 + 
       (15694999*s[23])/132 + (133872155*s[24])/1188 - 
       (1601665927*s[25])/10692 + (821715721*s[26])/10692 + 15*s[30] + 
       6*s[31] - 143*s[32] + (55*s[33])/4 + 11*s[34] - 58*s[35] - 298*s[36] - 
       213*s[37] + 4998*s[38] - 16296*s[39] + 19294*s[40] - 14993*s[41] + 
       23034*s[42] + (163024*s[43])/11 - (718209*s[44])/44 + 
       (281995*s[45])/22 - (2489089*s[46])/22 + (580651*s[47])/132 + 
       (806371*s[48])/132 - (9187897*s[49])/132 + (970758*s[50])/11 + 
       (2194003*s[51])/132 + (1763225*s[52])/132 - (1751809*s[53])/33 - 
       (82876*s[54])/11 - (45510451*s[55])/132 - (12030031*s[56])/132 + 
       (31174475*s[57])/198 - (228138443*s[58])/1188 + 
       (223080245*s[59])/1188 + (764243785*s[60])/792 - 
       (463544351*s[61])/10692 + 144*s[68] - 96*s[69] + 640*s[70] - 
       24*s[71] + 12*s[72] - 12*s[73] - 37*s[74] + 61*s[75] + 180*s[76] - 
       742*s[77] + 12*s[78] + 2736*s[79] - 778*s[80] + 3504*s[82] - 
       288*s[83] + 1080*s[84] + 768*s[85] - 72*s[86]) + 
     HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - u]*(-184*s[2] - 160*s[3] + 
       (15209*s[4])/2 + (27688*s[5])/11 + (235557*s[6])/22 + 
       (20580089*s[7])/198 - (5215721*s[8])/594 - (4749163*s[9])/54 - 
       (712009*s[10])/27 - (11816183*s[11])/99 - (13546972*s[12])/99 - 
       (8472472*s[13])/99 - (973537*s[14])/198 - (1140554*s[15])/9 - 
       (17026792*s[16])/99 - (7730843*s[17])/66 - (2711057*s[18])/162 - 
       (1428701*s[19])/81 - (178069664*s[20])/891 - (122596513*s[21])/1782 + 
       (99828989*s[22])/1782 + (12114473*s[23])/99 + (104102650*s[24])/891 - 
       (4962718889*s[25])/32076 + (2558940173*s[26])/32076 + 14*s[30] + 
       4*s[31] - 130*s[32] + (9*s[33])/2 + 14*s[34] - 60*s[35] - 
       (848*s[36])/3 - 204*s[37] + 5140*s[38] - 16747*s[39] + 
       (59153*s[40])/3 - 15345*s[41] + (70765*s[42])/3 + (503983*s[43])/33 - 
       (548491*s[44])/33 + (148304*s[45])/11 - (3871957*s[46])/33 + 
       (454307*s[47])/99 + (594326*s[48])/99 - (7050845*s[49])/99 + 
       (3011044*s[50])/33 + (1688770*s[51])/99 + (1369516*s[52])/99 - 
       (5499050*s[53])/99 - (217336*s[54])/33 - (11883556*s[55])/33 - 
       (9398075*s[56])/99 + (46552769*s[57])/297 - (175787839*s[58])/891 + 
       (172319842*s[59])/891 + (592741895*s[60])/594 - 
       (726748085*s[61])/16038 + 144*s[68] - 96*s[69] + 640*s[70] - 
       24*s[71] + 8*s[72] + 40*s[73] - 42*s[74] + 58*s[75] + 184*s[76] - 
       740*s[77] + 8*s[78] + 2672*s[79] - 760*s[80] + 2928*s[82] - 
       276*s[83] + 1080*s[84] + 768*s[85] - 72*s[86]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((-247*s[2])/12 - (3773*s[3])/24 - (511391*s[4])/48 - 
       (1783493*s[5])/264 - (9827083*s[6])/528 - (1622437387*s[7])/9504 + 
       (63666191*s[8])/4752 + (3907510*s[9])/27 + (4926809*s[10])/108 + 
       (66447039*s[11])/352 + (164326207*s[12])/792 + 
       (1195048715*s[13])/9504 + (22628365*s[14])/1056 + 
       (193736773*s[15])/864 + (682214351*s[16])/2376 + 
       (2067782251*s[17])/9504 + (1625941*s[18])/54 + (1274629*s[19])/48 + 
       (1617076129*s[20])/4752 + (3471621757*s[21])/28512 - 
       (2578975165*s[22])/28512 - (226218959*s[23])/1188 - 
       (1348991575*s[24])/7128 + (30849591335*s[25])/128304 - 
       (16775007107*s[26])/128304 - (5*s[28])/2 - 24*s[29] - (115*s[30])/6 - 
       (35*s[31])/3 + (35*s[32])/3 + (5*s[33])/2 - (151*s[34])/6 + 
       (261*s[35])/2 + (4067*s[36])/18 - (11801*s[37])/36 - (18521*s[38])/3 + 
       (46381*s[39])/2 - (241702*s[40])/9 + (127921*s[41])/6 - 
       (1191119*s[42])/36 - (4328737*s[43])/198 + (36250073*s[44])/1584 - 
       (19440253*s[45])/792 + (151043711*s[46])/792 - (29461051*s[47])/4752 - 
       (32390923*s[48])/4752 + (468446089*s[49])/4752 - 
       (58514909*s[50])/396 - (111578351*s[51])/4752 - 
       (88226441*s[52])/4752 + (118328783*s[53])/1188 + (32995*s[54])/396 + 
       (338405627*s[55])/528 + (267132197*s[56])/1584 - (14435461*s[57])/88 + 
       (4219328261*s[58])/14256 - (4243952111*s[59])/14256 - 
       (45420395341*s[60])/28512 + (10443375157*s[61])/128304 + 48*s[63] - 
       (41*s[65])/2 - 48*s[66] + 55*s[67] - 24*s[68] + 84*s[69] - 329*s[70] + 
       (85*s[71])/2 - 17*s[72] - (193*s[73])/3 + (283*s[74])/4 - 
       (315*s[75])/4 - 53*s[76] + (2153*s[77])/6 + (317*s[78])/3 - 
       3196*s[79] + (14017*s[80])/18 - 3710*s[82] + 70*s[83] - 1302*s[84] - 
       1112*s[85] - 36*s[86]) + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 
       1 - u]*((-431*s[2])/4 + (1435*s[3])/24 - (501625*s[4])/48 - 
       (919139*s[5])/132 - (9840199*s[6])/528 - (1642037779*s[7])/9504 + 
       (64133351*s[8])/4752 + (7930685*s[9])/54 + (10044547*s[10])/216 + 
       (201524281*s[11])/1056 + (20741555*s[12])/99 + 
       (1205058611*s[13])/9504 + (24025961*s[14])/1056 + 
       (196250389*s[15])/864 + (345084049*s[16])/1188 + 
       (2094275743*s[17])/9504 + (3324719*s[18])/108 + (3789455*s[19])/144 + 
       (1643463409*s[20])/4752 + (3542033701*s[21])/28512 - 
       (2615697625*s[22])/28512 - (452846377*s[23])/2376 - 
       (682079333*s[24])/3564 + (31098016307*s[25])/128304 - 
       (16995360935*s[26])/128304 - 12*s[28] - 24*s[29] - (4*s[30])/3 - 
       (139*s[31])/3 + 47*s[32] + (111*s[33])/8 + (10*s[34])/3 + 
       (261*s[35])/2 + (4067*s[36])/18 - (11801*s[37])/36 - (18521*s[38])/3 + 
       (46381*s[39])/2 - (241702*s[40])/9 + (127921*s[41])/6 - 
       (1191119*s[42])/36 - (4328737*s[43])/198 + (36250073*s[44])/1584 - 
       (19440253*s[45])/792 + (151043711*s[46])/792 - (29461051*s[47])/4752 - 
       (32390923*s[48])/4752 + (468446089*s[49])/4752 - 
       (58514909*s[50])/396 - (111578351*s[51])/4752 - 
       (88226441*s[52])/4752 + (118328783*s[53])/1188 + (32995*s[54])/396 + 
       (338405627*s[55])/528 + (267132197*s[56])/1584 - (14435461*s[57])/88 + 
       (4219328261*s[58])/14256 - (4243952111*s[59])/14256 - 
       (45420395341*s[60])/28512 + (10443375157*s[61])/128304 + 48*s[63] - 
       (41*s[65])/2 - 48*s[66] + 55*s[67] - 24*s[68] + 84*s[69] - 329*s[70] + 
       (85*s[71])/2 - 17*s[72] - (193*s[73])/3 + (283*s[74])/4 - 
       (315*s[75])/4 - 53*s[76] + (2153*s[77])/6 + (317*s[78])/3 - 
       3196*s[79] + (14017*s[80])/18 - 3710*s[82] + 70*s[83] - 1302*s[84] - 
       1112*s[85] - 36*s[86]) + HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - u]*
      (-80*s[2] - (379*s[3])/2 + (1129*s[4])/4 - (69023*s[5])/88 - 
       (37749*s[6])/88 - (76196*s[7])/33 - (22973*s[8])/2376 + 
       (408683*s[9])/216 + (236077*s[10])/216 + (764831*s[11])/792 - 
       (682427*s[12])/792 - (664727*s[13])/396 + (1220701*s[14])/396 + 
       (455605*s[15])/72 + (1905517*s[16])/396 + (3331423*s[17])/396 + 
       (813679*s[18])/648 - (27901*s[19])/162 + (6327763*s[20])/891 + 
       (26118383*s[21])/7128 - (1316635*s[22])/1782 - (153431*s[23])/396 - 
       (1592417*s[24])/891 + (33094087*s[25])/128304 - 
       (229571179*s[26])/128304 + 6*s[30] + 4*s[31] - 53*s[32] + 
       (53*s[33])/2 - 11*s[34] - 6*s[35] - 36*s[36] - (785*s[37])/6 + 
       399*s[38] - 499*s[39] + 829*s[40] - (1145*s[41])/2 + (1359*s[42])/2 + 
       (6145*s[43])/11 - (16133*s[44])/22 - (116869*s[45])/132 + 
       (260743*s[46])/132 - (4151*s[47])/33 + (36241*s[48])/33 - 
       (93928*s[49])/33 - (13406*s[50])/11 + (13017*s[51])/22 + 
       (31129*s[52])/66 + (1187465*s[53])/396 - (170983*s[54])/66 + 
       (1166147*s[55])/66 + (891311*s[56])/198 + (5094845*s[57])/297 - 
       (7448239*s[58])/3564 + (587329*s[59])/891 - (5030737*s[60])/792 + 
       (180768019*s[61])/64152 - s[62] + 48*s[68] - 32*s[69] + 192*s[70] - 
       9*s[71] + 8*s[72] - 4*s[73] + 7*s[74] + 2*s[75] + 56*s[76] - 
       228*s[77] + 8*s[78] + 428*s[79] - (281*s[80])/3 + 144*s[82] - 
       93*s[83] + 174*s[84] - 24*s[86]) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1}, 1 - u]*((-33*s[2])/2 - (429*s[3])/8 - 
       (10465*s[4])/2 - (26225*s[5])/8 - (17929*s[6])/2 - 
       (23755075*s[7])/288 + (476809*s[8])/72 + (10059275*s[9])/144 + 
       (1566929*s[10])/72 + (2918817*s[11])/32 + (301172*s[12])/3 + 
       (17519423*s[13])/288 + (311979*s[14])/32 + (31190237*s[15])/288 + 
       (19960723*s[16])/144 + (30184573*s[17])/288 + (232739*s[18])/16 + 
       (1828417*s[19])/144 + (7856209*s[20])/48 + (50523643*s[21])/864 - 
       (37740967*s[22])/864 - (13553411*s[23])/144 - (39297779*s[24])/432 + 
       (905872405*s[25])/7776 - (490936549*s[26])/7776 - s[28]/2 - 8*s[29] - 
       (47*s[30])/4 - (13*s[31])/2 + (37*s[32])/4 + (5*s[33])/16 - 
       (3*s[34])/4 + 74*s[35] + (425*s[36])/3 - (827*s[37])/4 - 3004*s[38] + 
       11512*s[39] - (79345*s[40])/6 + (20937*s[41])/2 - (198211*s[42])/12 - 
       (349849*s[43])/33 + (5912485*s[44])/528 - (1028491*s[45])/88 + 
       (24374087*s[46])/264 - (5230547*s[47])/1584 - (4346411*s[48])/1584 + 
       (75905465*s[49])/1584 - (9429493*s[50])/132 - (18421327*s[51])/1584 - 
       (14582809*s[52])/1584 + (9566743*s[53])/198 - (55199*s[54])/132 + 
       (163399297*s[55])/528 + (129203183*s[56])/1584 - 
       (198167353*s[57])/2376 + (2055348067*s[58])/14256 - 
       (2070558373*s[59])/14256 - (7291375109*s[60])/9504 + 
       (5032525693*s[61])/128304 + 16*s[63] - (13*s[65])/2 - 16*s[66] + 
       19*s[67] - 6*s[68] + 26*s[69] - 109*s[70] + (31*s[71])/2 - 21*s[72] - 
       7*s[73] + (163*s[74])/4 - (179*s[75])/4 - 7*s[76] + (247*s[77])/2 + 
       27*s[78] - 1528*s[79] + (763*s[80])/2 - 1555*s[82] + 27*s[83] - 
       606*s[84] - 452*s[85] - 12*s[86]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 0, 1}, 1 - u]*((-115*s[2])/2 + (327*s[3])/8 - 5139*s[4] - 
       (148897*s[5])/44 - (792201*s[6])/88 - (264856061*s[7])/3168 + 
       (7924133*s[8])/1188 + (30662743*s[9])/432 + (2401883*s[10])/108 + 
       (292535195*s[11])/3168 + (80388295*s[12])/792 + (21606025*s[13])/352 + 
       (33110093*s[14])/3168 + (10548535*s[15])/96 + (74156191*s[16])/528 + 
       (336849523*s[17])/3168 + (19353269*s[18])/1296 + 
       (16292281*s[19])/1296 + (2376207637*s[20])/14256 + 
       (1705913123*s[21])/28512 - (1264861219*s[22])/28512 - 
       (16600557*s[23])/176 - (1312890503*s[24])/14256 + 
       (30163440563*s[25])/256608 - (16444705427*s[26])/256608 - 4*s[28] - 
       8*s[29] - (19*s[30])/4 - (47*s[31])/2 + (95*s[32])/4 + (49*s[33])/16 + 
       (57*s[34])/4 + 74*s[35] + (425*s[36])/3 - (827*s[37])/4 - 3004*s[38] + 
       11512*s[39] - (79345*s[40])/6 + (20937*s[41])/2 - (198211*s[42])/12 - 
       (349849*s[43])/33 + (5912485*s[44])/528 - (1028491*s[45])/88 + 
       (24374087*s[46])/264 - (5230547*s[47])/1584 - (4346411*s[48])/1584 + 
       (75905465*s[49])/1584 - (9429493*s[50])/132 - (18421327*s[51])/1584 - 
       (14582809*s[52])/1584 + (9566743*s[53])/198 - (55199*s[54])/132 + 
       (163399297*s[55])/528 + (129203183*s[56])/1584 - 
       (198167353*s[57])/2376 + (2055348067*s[58])/14256 - 
       (2070558373*s[59])/14256 - (7291375109*s[60])/9504 + 
       (5032525693*s[61])/128304 + 16*s[63] - (13*s[65])/2 - 16*s[66] + 
       19*s[67] - 6*s[68] + 26*s[69] - 109*s[70] + (31*s[71])/2 - 21*s[72] - 
       7*s[73] + (163*s[74])/4 - (179*s[75])/4 - 7*s[76] + (247*s[77])/2 + 
       27*s[78] - 1528*s[79] + (763*s[80])/2 - 1555*s[82] + 27*s[83] - 
       606*s[84] - 452*s[85] - 12*s[86]) + HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - w]*((3*s[2])/4 + (679*s[3])/8 + (6615*s[4])/16 + 
       (15349*s[5])/44 + (93909*s[6])/176 + (6114731*s[7])/1056 - 
       (2971283*s[8])/4752 - (255143*s[9])/54 - (252829*s[10])/216 - 
       (20623631*s[11])/3168 - (5908015*s[12])/792 - (14374385*s[13])/3168 + 
       (1174813*s[14])/3168 - (2149255*s[15])/288 - (942394*s[16])/99 - 
       (21114881*s[17])/3168 - (88541*s[18])/81 - (1165063*s[19])/1296 - 
       (148874983*s[20])/14256 - (104645285*s[21])/28512 + 
       (84290065*s[22])/28512 + (3738305*s[23])/396 + (42689341*s[24])/7128 - 
       (1134161749*s[25])/128304 + (578324233*s[26])/128304 - s[28] - 
       4*s[29] + 6*s[30] + 3*s[31] + (39*s[32])/2 + (101*s[33])/8 - 
       13*s[34] + (15*s[35])/2 - (125*s[36])/3 + (1445*s[37])/12 + 
       346*s[38] - (10333*s[39])/8 + (29623*s[40])/24 - (6149*s[41])/8 + 
       (42485*s[42])/24 + (20611*s[43])/24 - (2864*s[44])/3 + 
       (17981*s[45])/24 - (13635*s[46])/2 + (5404*s[47])/9 - 
       (37357*s[48])/72 - (36988*s[49])/9 + (29107*s[50])/6 + 
       (68989*s[51])/72 + (72589*s[52])/72 - (85351*s[53])/24 + 
       (2119*s[54])/4 - (517129*s[55])/24 - (200621*s[56])/36 + 
       (2371333*s[57])/216 - (7754591*s[58])/648 + (8042645*s[59])/648 + 
       (22347071*s[60])/432 - (1980298*s[61])/729 - s[62]/2 - 3*s[65] - 
       8*s[66] + 12*s[67] + 10*s[68] + 4*s[69] - 73*s[70] + (17*s[71])/2 + 
       9*s[72] + 19*s[73] - (19*s[74])/4 + (5*s[75])/4 - 17*s[76] + 
       (197*s[77])/2 + 25*s[78] - 76*s[79] - (7*s[80])/6 - 258*s[82] + 
       6*s[83] - 66*s[84] - 120*s[85] - 12*s[86]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((41*s[2])/4 + (465*s[3])/8 + (5859*s[4])/16 + (38503*s[5])/88 + 
       (121823*s[6])/176 + (19498711*s[7])/3168 - (2805389*s[8])/4752 - 
       (137869*s[9])/27 - (70987*s[10])/54 - (21744497*s[11])/3168 - 
       (1519861*s[12])/198 - (14582323*s[13])/3168 - (506717*s[14])/3168 - 
       (2342417*s[15])/288 - (1014275*s[16])/99 - (2672415*s[17])/352 - 
       (184429*s[18])/162 - (1218481*s[19])/1296 - (163942093*s[20])/14256 - 
       (125626031*s[21])/28512 + (89152303*s[22])/28512 + 
       (3479389*s[23])/396 + (45824821*s[24])/7128 - (1156280977*s[25])/
        128304 + (635217085*s[26])/128304 - 8*s[28] - 8*s[29] - s[30]/2 - 
       4*s[31] + (35*s[32])/2 - 31*s[33] - (5*s[34])/2 + (15*s[35])/2 - 
       (125*s[36])/3 + (1445*s[37])/12 + 346*s[38] - (10333*s[39])/8 + 
       (29623*s[40])/24 - (6149*s[41])/8 + (42485*s[42])/24 + 
       (20611*s[43])/24 - (2864*s[44])/3 + (17981*s[45])/24 - 
       (13635*s[46])/2 + (5404*s[47])/9 - (37357*s[48])/72 - 
       (36988*s[49])/9 + (29107*s[50])/6 + (68989*s[51])/72 + 
       (72589*s[52])/72 - (85351*s[53])/24 + (2119*s[54])/4 - 
       (517129*s[55])/24 - (200621*s[56])/36 + (2371333*s[57])/216 - 
       (7754591*s[58])/648 + (8042645*s[59])/648 + (22347071*s[60])/432 - 
       (1980298*s[61])/729 - s[62]/2 - 3*s[65] - 8*s[66] + 12*s[67] + 
       10*s[68] + 4*s[69] - 73*s[70] + (17*s[71])/2 + 9*s[72] + 19*s[73] - 
       (19*s[74])/4 + (5*s[75])/4 - 17*s[76] + (197*s[77])/2 + 25*s[78] - 
       76*s[79] - (7*s[80])/6 - 258*s[82] + 6*s[83] - 66*s[84] - 120*s[85] - 
       12*s[86]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((-17*s[2])/9 + (703*s[3])/36 - (281*s[4])/18 - 
       (24883*s[5])/792 + (17483*s[6])/792 - (13519565*s[7])/28512 + 
       (1995695*s[8])/14256 + (449263*s[9])/1296 + (196511*s[10])/1296 + 
       (3676687*s[11])/9504 + (1864283*s[12])/4752 + (1217017*s[13])/28512 - 
       (814529*s[14])/9504 + (2190647*s[15])/2592 + (6535927*s[16])/7128 + 
       (26372219*s[17])/28512 + (133085*s[18])/1944 + (311699*s[19])/3888 + 
       (9392345*s[20])/10692 + (5339779*s[21])/28512 - 
       (18454855*s[22])/85536 - (15043627*s[23])/14256 - 
       (6286369*s[24])/21384 + (19117783*s[25])/32076 - 
       (28272019*s[26])/128304 + (5*s[28])/2 + 4*s[29] - (71*s[30])/18 - 
       (16*s[31])/9 - (49*s[32])/18 - (97*s[33])/8 + (73*s[34])/18 + 
       7*s[35] - (235*s[36])/27 - (941*s[37])/54 + (416*s[38])/9 + 
       (941*s[39])/6 - (5923*s[40])/54 + (1151*s[41])/18 - (8413*s[42])/27 + 
       (62041*s[43])/594 + (21898*s[44])/297 + (76205*s[45])/1188 + 
       (567947*s[46])/1188 - (346741*s[47])/1782 + (375601*s[48])/891 + 
       (145747*s[49])/1782 - (327479*s[50])/594 - (142987*s[51])/891 - 
       (130673*s[52])/1782 + (895223*s[53])/1782 - (43684*s[54])/297 + 
       (214342*s[55])/99 + (13900*s[56])/33 - (1312387*s[57])/1782 + 
       (1670612*s[58])/2673 - (1868780*s[59])/2673 - (42959729*s[60])/21384 + 
       (177739*s[61])/594 + s[62]/3 - 16*s[63] + 3*s[65] + 4*s[66] - 
       (28*s[67])/3 - 16*s[68] - 10*s[69] + (134*s[70])/3 - 6*s[71] - 
       (34*s[72])/3 + (46*s[73])/9 + (17*s[74])/2 - (41*s[75])/6 + 
       (14*s[76])/3 - (469*s[77])/9 - (74*s[78])/9 + (10*s[79])/3 + 
       (757*s[80])/27 - 42*s[82] - (71*s[83])/6 + 35*s[84] + (124*s[85])/3 - 
       6*s[86]) + HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*
      ((-55*s[2])/12 + (55*s[3])/16 - (4677*s[4])/32 - (146189*s[5])/528 - 
       (164911*s[6])/352 - (77326553*s[7])/19008 + (7923031*s[8])/28512 + 
       (2253233*s[9])/648 + (1600835*s[10])/1296 + (82750747*s[11])/19008 + 
       (43002181*s[12])/9504 + (50129135*s[13])/19008 + 
       (18366901*s[14])/19008 + (9997111*s[15])/1728 + 
       (67602487*s[16])/9504 + (38206951*s[17])/6336 + (1599565*s[18])/1944 + 
       (4568603*s[19])/7776 + (730489061*s[20])/85536 + 
       (574020259*s[21])/171072 - (363557411*s[22])/171072 - 
       (9338897*s[23])/2376 - (192367931*s[24])/42768 + 
       (2033239429*s[25])/384912 - (307665475*s[26])/96228 + (3*s[28])/8 + 
       (17*s[30])/12 - (47*s[31])/12 - (7*s[32])/3 - (22*s[33])/3 + 
       (16*s[34])/3 + (107*s[35])/12 + (587*s[36])/36 - (395*s[37])/36 - 
       (2645*s[38])/24 + (4201*s[39])/8 - (38425*s[40])/72 + 
       (19453*s[41])/48 - (108949*s[42])/144 - (305801*s[43])/792 + 
       (1416197*s[44])/3168 - (610937*s[45])/1584 + (620403*s[46])/176 - 
       (2051119*s[47])/9504 + (958217*s[48])/9504 + (18230521*s[49])/9504 - 
       (4263505*s[50])/1584 - (4406561*s[51])/9504 - (3658661*s[52])/9504 + 
       (3070625*s[53])/1584 - (54743*s[54])/528 + (37740601*s[55])/3168 + 
       (29378531*s[56])/9504 - (53230249*s[57])/14256 + 
       (480287647*s[58])/85536 - (498243601*s[59])/85536 - 
       (1591935721*s[60])/57024 + (148012331*s[61])/96228 - s[62]/4 - 
       8*s[63] + (11*s[65])/8 + (11*s[66])/3 - (37*s[67])/6 - (16*s[68])/3 - 
       10*s[69] + (82*s[70])/3 - (83*s[71])/24 - (19*s[72])/3 + 7*s[73] + 
       (55*s[74])/12 - (10*s[75])/3 + (29*s[76])/12 - (199*s[77])/6 - 
       13*s[78] + (34*s[79])/3 + (65*s[80])/9 + 11*s[82] - (5*s[83])/2 + 
       28*s[84] + 6*s[85] - 3*s[86]) + HPL[{0, 1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - u]*((47*s[2])/4 - (3929*s[3])/144 + 
       (74363*s[4])/288 + (243247*s[5])/792 + (2057123*s[6])/3168 + 
       (336245381*s[7])/57024 - (9437203*s[8])/28512 - (417550*s[9])/81 - 
       (2224109*s[10])/1296 - (40674455*s[11])/6336 - (64827787*s[12])/9504 - 
       (235516867*s[13])/57024 - (8311381*s[14])/6336 - 
       (41184479*s[15])/5184 - (284952029*s[16])/28512 - 
       (456057389*s[17])/57024 - (1500323*s[18])/1296 - (678427*s[19])/864 - 
       (350621159*s[20])/28512 - (797498657*s[21])/171072 + 
       (542931089*s[22])/171072 + (78995321*s[23])/14256 + 
       (278966069*s[24])/42768 - (6042558733*s[25])/769824 + 
       (3524452801*s[26])/769824 + 2*s[28] + 4*s[29] - (71*s[30])/36 + 
       (61*s[31])/9 - (25*s[32])/3 - (91*s[33])/12 - (295*s[34])/36 + 
       (9*s[35])/4 - (1459*s[36])/108 + (1205*s[37])/108 + (15025*s[38])/72 - 
       (17147*s[39])/24 + (180755*s[40])/216 - (97901*s[41])/144 + 
       (443213*s[42])/432 + (1638607*s[43])/2376 - (6511159*s[44])/9504 + 
       (3358709*s[45])/4752 - (26255299*s[46])/4752 + (5601113*s[47])/28512 + 
       (6425321*s[48])/28512 - (84053687*s[49])/28512 + 
       (20154905*s[50])/4752 + (21086707*s[51])/28512 + 
       (17200927*s[52])/28512 - (40281335*s[53])/14256 + 
       (174413*s[54])/4752 - (57166469*s[55])/3168 - (45349519*s[56])/9504 + 
       (27174127*s[57])/4752 - (752708323*s[58])/85536 + 
       (756588589*s[59])/85536 + (7827431387*s[60])/171072 - 
       (855557041*s[61])/384912 - s[62]/4 - 8*s[63] + (11*s[65])/8 + 
       s[66]/3 - (17*s[67])/6 - (26*s[68])/3 + 24*s[70] - (41*s[71])/8 + 
       s[72]/3 + (43*s[73])/9 - (25*s[74])/12 + (10*s[75])/3 - 
       (11*s[76])/12 - (617*s[77])/18 - (17*s[78])/9 + 108*s[79] - 
       (80*s[80])/27 - 69*s[82] - (10*s[83])/3 + 73*s[84] + (58*s[85])/3 - 
       3*s[86]) + HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u]*
      ((25*s[2])/3 + (1901*s[3])/24 + (131885*s[4])/48 + (492707*s[5])/264 + 
       (2534957*s[6])/528 + (15435713*s[7])/352 - (17123171*s[8])/4752 - 
       (7997525*s[9])/216 - (2456317*s[10])/216 - (153637337*s[11])/3168 - 
       (10589683*s[12])/198 - (102188051*s[13])/3168 - 
       (16037081*s[14])/3168 - (16533715*s[15])/288 - 
       (116536087*s[16])/1584 - (176005235*s[17])/3168 - 
       (5212297*s[18])/648 - (8379805*s[19])/1296 - (1237256395*s[20])/
        14256 - (890498699*s[21])/28512 + (659461831*s[22])/28512 + 
       (81719285*s[23])/1584 + (681393197*s[24])/14256 - 
       (496456771*s[25])/8019 + (1080380581*s[26])/32076 + (11*s[30])/3 + 
       (19*s[31])/3 - (25*s[32])/3 - (199*s[33])/12 - (41*s[34])/6 - 
       (91*s[35])/3 - (583*s[36])/6 + (439*s[37])/3 + (3277*s[38])/2 - 
       (151655*s[39])/24 + (56937*s[40])/8 - (133021*s[41])/24 + 
       (217205*s[42])/24 + (486795*s[43])/88 - (1041129*s[44])/176 + 
       (813797*s[45])/132 - (4297719*s[46])/88 + (365461*s[47])/176 + 
       (522205*s[48])/528 - (13335317*s[49])/528 + (411777*s[50])/11 + 
       (1108315*s[51])/176 + (2698259*s[52])/528 - (20216617*s[53])/792 + 
       (92897*s[54])/132 - (257170763*s[55])/1584 - (68382301*s[56])/1584 + 
       (28440593*s[57])/594 - (1102299347*s[58])/14256 + 
       (1106984117*s[59])/14256 + (1269211615*s[60])/3168 - 
       (2687734769*s[61])/128304 - 4*s[69] + 31*s[70] - (7*s[71])/2 + 
       (38*s[72])/3 + 10*s[73] - (77*s[74])/3 + (80*s[75])/3 - (26*s[76])/3 - 
       40*s[77] + (22*s[78])/3 + 650*s[79] - (539*s[80])/3 + 708*s[82] - 
       (25*s[83])/2 + 265*s[84] + 196*s[85] - 3*s[86]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((469*s[2])/18 - (274*s[3])/9 + (180041*s[4])/72 + 
       (2689811*s[5])/1584 + (7118935*s[6])/1584 + (393404783*s[7])/9504 - 
       (5854927*s[8])/1782 - (22766921*s[9])/648 - (3609977*s[10])/324 - 
       (432608747*s[11])/9504 - (236609405*s[12])/4752 - 
       (31689463*s[13])/1056 - (53310899*s[14])/9504 - (5255575*s[15])/96 - 
       (13806959*s[16])/198 - (507779071*s[17])/9504 - 
       (29006351*s[18])/3888 - (23914573*s[19])/3888 - 
       (442676717*s[20])/5346 - (2546703011*s[21])/85536 + 
       (1876320871*s[22])/85536 + (36544469*s[23])/792 + 
       (1948566557*s[24])/42768 - (44469930965*s[25])/769824 + 
       (24351012311*s[26])/769824 + 2*s[28] + 2*s[29] + (17*s[30])/18 + 
       (113*s[31])/9 - (301*s[32])/18 - (68*s[33])/9 - (20*s[34])/9 - 
       (293*s[35])/9 - (1289*s[36])/18 + (3193*s[37])/36 + (2827*s[38])/2 - 
       (399409*s[39])/72 + (153367*s[40])/24 - (368063*s[41])/72 + 
       (577027*s[42])/72 + (1347437*s[43])/264 - (950093*s[44])/176 + 
       (1534633*s[45])/264 - (18018641*s[46])/396 + (2554943*s[47])/1584 + 
       (2073121*s[48])/1584 - (4058573*s[49])/176 + (388325*s[50])/11 + 
       (1002341*s[51])/176 + (7066541*s[52])/1584 - (28544735*s[53])/1188 + 
       (160001*s[54])/396 - (730400119*s[55])/4752 - (193288177*s[56])/4752 + 
       (34989484*s[57])/891 - (3017003645*s[58])/42768 + 
       (3039199913*s[59])/42768 + (3585096353*s[60])/9504 - 
       (3775846813*s[61])/192456 - 8*s[63] + (7*s[65])/2 + (29*s[66])/3 - 
       (32*s[67])/3 - (14*s[68])/3 - (50*s[69])/3 + (166*s[70])/3 - 
       (19*s[71])/2 + (94*s[72])/9 - (2*s[73])/3 - (395*s[74])/18 + 
       (431*s[75])/18 - (82*s[76])/9 - (211*s[77])/3 - (142*s[78])/9 + 
       (2272*s[79])/3 - (1097*s[80])/6 + 707*s[82] - (59*s[83])/6 + 
       (959*s[84])/3 + (722*s[85])/3 + 6*s[86]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*(5*s[2] + (65*s[3])/2 + 
       (57743*s[4])/24 + (808283*s[5])/528 + (731353*s[6])/176 + 
       (364772491*s[7])/9504 - (22006799*s[8])/7128 - (10536347*s[9])/324 - 
       (6599813*s[10])/648 - (402101983*s[11])/9504 - 
       (220733389*s[12])/4752 - (88611473*s[13])/3168 - 
       (45396319*s[14])/9504 - (4861135*s[15])/96 - (1421545*s[16])/22 - 
       (467301023*s[17])/9504 - (26957605*s[18])/3888 - 
       (22278653*s[19])/3888 - (818218241*s[20])/10692 - 
       (2348405803*s[21])/85536 + (1737467027*s[22])/85536 + 
       (4348592*s[23])/99 + (1798364467*s[24])/42768 - 
       (41448470695*s[25])/769824 + (22614055945*s[26])/769824 + s[28]/2 + 
       4*s[29] + (47*s[30])/6 + 8*s[31] - (49*s[32])/6 + (23*s[33])/12 - 
       6*s[34] - (91*s[35])/3 - (131*s[36])/2 + (2603*s[37])/36 + 
       (7921*s[38])/6 - (41791*s[39])/8 + (48139*s[40])/8 - (38517*s[41])/8 + 
       (60433*s[42])/8 + (421369*s[43])/88 - (896393*s[44])/176 + 
       (4348969*s[45])/792 - (17017361*s[46])/396 + (815821*s[47])/528 + 
       (641207*s[48])/528 - (3834133*s[49])/176 + (2203475*s[50])/66 + 
       (8480489*s[51])/1584 + (2205047*s[52])/528 - (26945905*s[53])/1188 + 
       (42511*s[54])/396 - (230067473*s[55])/1584 - (182543057*s[56])/4752 + 
       (133194041*s[57])/3564 - (2854928845*s[58])/42768 + 
       (2874191293*s[59])/42768 + (3388836493*s[60])/9504 - 
       (894761237*s[61])/48114 - 8*s[63] + (7*s[65])/2 + (19*s[66])/3 - 
       (22*s[67])/3 - (4*s[68])/3 - (40*s[69])/3 + (166*s[70])/3 - 
       (47*s[71])/6 + (38*s[72])/3 - (2*s[73])/3 - (125*s[74])/6 + 
       (137*s[75])/6 - 8*s[76] - (211*s[77])/3 - (14*s[78])/3 + 
       (2122*s[79])/3 - (3181*s[80])/18 + 857*s[82] - 14*s[83] + 278*s[84] + 
       254*s[85] + 6*s[86]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      ((-35*s[2])/2 - 134*s[3] - (54295*s[4])/8 - (385141*s[5])/88 - 
       (128173*s[6])/11 - (42139987*s[7])/396 + (3480379*s[8])/396 + 
       (3234857*s[9])/36 + (1974773*s[10])/72 + (1299322*s[11])/11 + 
       (34524575*s[12])/264 + (62733655*s[13])/792 + (508223*s[14])/44 + 
       (1245625*s[15])/9 + (70574843*s[16])/396 + (13195126*s[17])/99 + 
       (695051*s[18])/36 + (569513*s[19])/36 + (83123773*s[20])/396 + 
       (178899191*s[21])/2376 - (33408335*s[22])/594 - (24946907*s[23])/198 - 
       (69021155*s[24])/594 + (807771725*s[25])/5346 - 
       (874609837*s[26])/10692 - (19*s[30])/2 - 13*s[31] + 27*s[32] + 
       (271*s[33])/8 + (25*s[34])/2 + 79*s[35] + (734*s[36])/3 - 
       (2039*s[37])/6 - 4125*s[38] + (62377*s[39])/4 - (211475*s[40])/12 + 
       (54711*s[41])/4 - (267451*s[42])/12 - (1807381*s[43])/132 + 
       (968441*s[44])/66 - (1952923*s[45])/132 + (3917438*s[46])/33 - 
       (986053*s[47])/198 - (1081931*s[48])/396 + (12373081*s[49])/198 - 
       (6002033*s[50])/66 - (6145639*s[51])/396 - (4999825*s[52])/396 + 
       (24349417*s[53])/396 - (41959*s[54])/33 + (51672365*s[55])/132 + 
       (3439750*s[56])/33 - (16046189*s[57])/132 + (224985601*s[58])/1188 - 
       (225577267*s[59])/1188 - (2319140111*s[60])/2376 + 
       (538029377*s[61])/10692 - 22*s[68] + 14*s[69] - 112*s[70] + 9*s[71] - 
       30*s[72] - 14*s[73] + (121*s[74])/2 - (129*s[75])/2 - 6*s[76] + 
       131*s[77] - 14*s[78] - 1696*s[79] + (1429*s[80])/3 - 1600*s[82] + 
       51*s[83] - 708*s[84] - 440*s[85] + 12*s[86]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*(43*s[2] - (111*s[3])/2 - 
       (10897*s[4])/4 - (16182*s[5])/11 - (190867*s[6])/44 - 
       (11080585*s[7])/264 + (4033325*s[8])/1188 + (959056*s[9])/27 + 
       (609763*s[10])/54 + (37089983*s[11])/792 + (10321177*s[12])/198 + 
       (25045073*s[13])/792 + (3518531*s[14])/792 + (3887521*s[15])/72 + 
       (27931087*s[16])/396 + (41314349*s[17])/792 + (598394*s[18])/81 + 
       (2185567*s[19])/324 + (296223643*s[20])/3564 + 
       (209561981*s[21])/7128 - (159000265*s[22])/7128 - 
       (18412415*s[23])/396 - (166526603*s[24])/3564 + 
       (958559699*s[25])/16038 - (256824199*s[26])/8019 - 2*s[30] + 
       27*s[32] + (41*s[33])/2 - 12*s[34] + 32*s[35] + 102*s[36] + 
       (134*s[37])/3 - 1566*s[38] + (11727*s[39])/2 - (13643*s[40])/2 + 
       (11025*s[41])/2 - (16773*s[42])/2 - (116865*s[43])/22 + 
       (254519*s[44])/44 - (194266*s[45])/33 + (3085865*s[46])/66 - 
       (239021*s[47])/132 - (209783*s[48])/132 + (3302591*s[49])/132 - 
       (403250*s[50])/11 - (268377*s[51])/44 - (627685*s[52])/132 + 
       (4719355*s[53])/198 + (45373*s[54])/33 + (20268491*s[55])/132 + 
       (15927679*s[56])/396 - (13537171*s[57])/297 + (263645729*s[58])/3564 - 
       (261441287*s[59])/3564 - (310714801*s[60])/792 + 
       (635680919*s[61])/32076 + 16*s[69] - 124*s[70] + 6*s[71] - 16*s[73] + 
       22*s[74] - 26*s[75] - 16*s[76] + 160*s[77] - 784*s[79] + 
       (688*s[80])/3 - 1608*s[82] + 36*s[83] - 312*s[84] - 384*s[85] + 
       12*s[86]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*((69*s[2])/4 - (15*s[3])/8 + (7329*s[4])/16 + 
       (9855*s[5])/22 + (178023*s[6])/176 + (26453191*s[7])/3168 - 
       (2966845*s[8])/4752 - (193382*s[9])/27 - (463841*s[10])/216 - 
       (29045761*s[11])/3168 - (7890821*s[12])/792 - (6294293*s[13])/1056 - 
       (4675573*s[14])/3168 - (353641*s[15])/32 - (620325*s[16])/44 - 
       (34684751*s[17])/3168 - (587743*s[18])/324 - (1091333*s[19])/1296 - 
       (241981397*s[20])/14256 - (187859635*s[21])/28512 + 
       (126159527*s[22])/28512 + (1358315*s[23])/132 + 
       (61551467*s[24])/7128 - (1453000007*s[25])/128304 + 
       (849240011*s[26])/128304 + 2*s[29] - 4*s[30] + 15*s[31] + 4*s[32] + 
       (177*s[33])/8 - 21*s[34] - (39*s[35])/2 - (28*s[36])/3 + 
       (35*s[37])/4 + 288*s[38] - (10307*s[39])/8 + (34217*s[40])/24 - 
       (8939*s[41])/8 + (45751*s[42])/24 + (255415*s[43])/264 - 
       (147803*s[44])/132 + (86963*s[45])/88 - (582055*s[46])/66 + 
       (115925*s[47])/198 - (99577*s[48])/792 - (453403*s[49])/99 + 
       (219380*s[50])/33 + (1064065*s[51])/792 + (848527*s[52])/792 - 
       (3570485*s[53])/792 + (48877*s[54])/132 - (2473035*s[55])/88 - 
       (3203221*s[56])/396 + (29623799*s[57])/2376 - (107168947*s[58])/7128 + 
       (105633745*s[59])/7128 + (332097923*s[60])/4752 - 
       (123982361*s[61])/32076 + s[62]/2 + 16*s[63] - s[65] - 4*s[66] + 
       9*s[67] + 18*s[68] + 10*s[69] - 6*s[70] + (5*s[71])/2 + 11*s[72] - 
       29*s[73] - (41*s[74])/4 + (39*s[75])/4 - 11*s[76] + (25*s[77])/2 + 
       19*s[78] + 114*s[79] - (91*s[80])/2 + 148*s[82] + (9*s[83])/2 + 
       51*s[84] + 80*s[85] + 12*s[86]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*((7*s[2])/4 + (63*s[3])/8 + 
       (10501*s[4])/16 + (12299*s[5])/88 + (150461*s[6])/176 + 
       (23508049*s[7])/3168 - (1403785*s[8])/1584 - (54023*s[9])/9 - 
       (56665*s[10])/36 - (8913149*s[11])/1056 - (1299439*s[12])/132 - 
       (19000013*s[13])/3168 + (200311*s[14])/1056 - (2576023*s[15])/288 - 
       (4811335*s[16])/396 - (25777537*s[17])/3168 - (68581*s[18])/54 - 
       (444721*s[19])/432 - (64278469*s[20])/4752 - (14089201*s[21])/3168 + 
       (36744467*s[22])/9504 + (4465619*s[23])/396 + (18402143*s[24])/2376 - 
       (5978069*s[25])/528 + (8908787*s[26])/1584 - 10*s[29] + (9*s[30])/2 - 
       4*s[31] - (3*s[32])/2 + (73*s[33])/4 + (7*s[34])/2 - (39*s[35])/2 - 
       (28*s[36])/3 + (35*s[37])/4 + 288*s[38] - (10307*s[39])/8 + 
       (34217*s[40])/24 - (8939*s[41])/8 + (45751*s[42])/24 + 
       (255415*s[43])/264 - (147803*s[44])/132 + (86963*s[45])/88 - 
       (582055*s[46])/66 + (115925*s[47])/198 - (99577*s[48])/792 - 
       (453403*s[49])/99 + (219380*s[50])/33 + (1064065*s[51])/792 + 
       (848527*s[52])/792 - (3570485*s[53])/792 + (48877*s[54])/132 - 
       (2473035*s[55])/88 - (3203221*s[56])/396 + (29623799*s[57])/2376 - 
       (107168947*s[58])/7128 + (105633745*s[59])/7128 + 
       (332097923*s[60])/4752 - (123982361*s[61])/32076 + s[62]/2 + 
       16*s[63] - s[65] - 4*s[66] + 9*s[67] + 18*s[68] + 10*s[69] - 6*s[70] + 
       (5*s[71])/2 + 11*s[72] - 29*s[73] - (41*s[74])/4 + (39*s[75])/4 - 
       11*s[76] + (25*s[77])/2 + 19*s[78] + 114*s[79] - (91*s[80])/2 + 
       148*s[82] + (9*s[83])/2 + 51*s[84] + 80*s[85] + 12*s[86]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((-26*s[2])/3 - (1031*s[3])/3 - (92663*s[4])/6 - (649597*s[5])/66 - 
       (871843*s[6])/33 - (63732949*s[7])/264 + (23621801*s[8])/1188 + 
       (22019731*s[9])/108 + (6712571*s[10])/108 + (212506523*s[11])/792 + 
       (117786293*s[12])/396 + (142905707*s[13])/792 + (20454035*s[14])/792 + 
       (22549609*s[15])/72 + (79979495*s[16])/198 + (238531793*s[17])/792 + 
       (7083631*s[18])/162 + (11698717*s[19])/324 + (424007140*s[20])/891 + 
       (1216477637*s[21])/7128 - (909634003*s[22])/7128 - 
       (112873205*s[23])/396 - (235210532*s[24])/891 + 
       (11011755313*s[25])/32076 - (2978738141*s[26])/16038 - (58*s[30])/3 - 
       (80*s[31])/3 + (194*s[32])/3 + (475*s[33])/6 + (56*s[34])/3 + 
       (464*s[35])/3 + (1564*s[36])/3 - (2140*s[37])/3 - 9490*s[38] + 
       (106415*s[39])/3 - 40141*s[40] + (93391*s[41])/3 - (151679*s[42])/3 - 
       (344193*s[43])/11 + (1467967*s[44])/44 - (370107*s[45])/11 + 
       (8891768*s[46])/33 - (499415*s[47])/44 - (848321*s[48])/132 + 
       (18814183*s[49])/132 - (2268778*s[50])/11 - (4655677*s[51])/132 - 
       (3809131*s[52])/132 + (13759667*s[53])/99 - (81995*s[54])/33 + 
       (350894683*s[55])/396 + (93315727*s[56])/396 - (164914529*s[57])/594 + 
       (1534246607*s[58])/3564 - (1536623741*s[59])/3564 - 
       (585596035*s[60])/264 + (3653949659*s[61])/32076 - 72*s[68] + 
       48*s[69] - 336*s[70] + 22*s[71] - (160*s[72])/3 - 72*s[73] + 
       (388*s[74])/3 - (412*s[75])/3 - (128*s[76])/3 + 384*s[77] - 
       (80*s[78])/3 - 3852*s[79] + 1092*s[80] - 3572*s[82] + 139*s[83] - 
       1574*s[84] - 1056*s[85] + 36*s[86]) + HPL[{0, 1, 1, 1, 1}, 1 - u]*
      ((-3744*s[5])/11 - (3900*s[6])/11 - (108289*s[7])/33 + (5374*s[8])/33 + 
       (8504*s[9])/3 + (3400*s[10])/3 + (32825*s[11])/11 + (28569*s[12])/11 + 
       (41114*s[13])/33 + (19488*s[14])/11 + 5693*s[15] + (187703*s[16])/33 + 
       (199087*s[17])/33 + 742*s[18] + (1174*s[19])/3 + (85066*s[20])/11 + 
       (300778*s[21])/99 - (158932*s[22])/99 - (45184*s[23])/33 - 
       (356944*s[24])/99 + (2956021*s[25])/891 - (2123485*s[26])/891 + 
       64*s[37] - (1124*s[43])/11 - (1968*s[44])/11 - (7488*s[45])/11 + 
       (36316*s[46])/11 + (1318*s[47])/33 + (1318*s[48])/33 + 
       (1634*s[49])/33 - (28516*s[50])/11 - (538*s[51])/11 - 
       (7780*s[52])/33 + (78190*s[53])/33 - (15740*s[54])/11 + 
       (535558*s[55])/33 + (46586*s[56])/11 + (83856*s[57])/11 + 
       (253162*s[58])/99 - (300274*s[59])/99 - (2670619*s[60])/99 + 
       (1862666*s[61])/891)*\[Zeta][2] + M1[w, v, u]*
      (-10*s[2] - 19*s[3] - (225*s[4])/2 - (109*s[5])/11 - (1346*s[6])/11 - 
       (480641*s[7])/396 + (33773*s[8])/297 + (25540*s[9])/27 + 
       (20245*s[10])/54 + (268379*s[11])/198 + (586799*s[12])/396 + 
       (365399*s[13])/396 - (7631*s[14])/396 + (61171*s[15])/36 + 
       (213068*s[16])/99 + (36821*s[17])/22 + (6836*s[18])/81 + 
       (63749*s[19])/162 + (2018299*s[20])/891 + (2346409*s[21])/3564 - 
       (2194475*s[22])/3564 - (430981*s[23])/396 - (5796647*s[24])/3564 + 
       (59384131*s[25])/32076 - (27629791*s[26])/32076 + 4*s[30] + 3*s[32] + 
       (14*s[36])/3 + 8*s[37] - 15*s[38] + 109*s[39] - (401*s[40])/3 + 
       (233*s[41])/2 - (1001*s[42])/6 - (4303*s[43])/33 + (8879*s[44])/66 - 
       (483*s[45])/11 + (23413*s[46])/33 + (949*s[47])/396 - 
       (24923*s[48])/396 + (237701*s[49])/396 - (20200*s[50])/33 - 
       (39973*s[51])/396 - (12161*s[52])/198 + (81481*s[53])/198 + 
       (5117*s[54])/66 + (312119*s[55])/132 + (139151*s[56])/396 - 
       (118735*s[57])/594 + (3058393*s[58])/3564 - (3639181*s[59])/3564 - 
       (14990243*s[60])/2376 + (3228419*s[61])/16038 + 2*s[68] - 4*s[69] - 
       2*s[76] + 4*s[77] - 2*s[78])*\[Zeta][2] + HPL[{0, 1, 1, 1, 1}, 1 - v]*
      (-352*s[3] - 564*s[4] - (7258*s[5])/11 - (8060*s[6])/11 - 
       (1178417*s[7])/99 + (232766*s[8])/297 + (271714*s[9])/27 + 
       (110480*s[10])/27 + (1243243*s[11])/99 + (1257467*s[12])/99 + 
       (752846*s[13])/99 + (129334*s[14])/99 + (165235*s[15])/9 + 
       (2091965*s[16])/99 + (205385*s[17])/11 + (85058*s[18])/81 + 
       (306970*s[19])/81 + (21355372*s[20])/891 + (7675420*s[21])/891 - 
       (5484692*s[22])/891 - (641152*s[23])/99 - (13792784*s[24])/891 + 
       (129042685*s[25])/8019 - (69702931*s[26])/8019 - 144*s[30] - 
       48*s[35] + (704*s[36])/3 + (56*s[37])/3 - 418*s[38] + 1082*s[39] - 
       (3278*s[40])/3 + 1014*s[41] - (4042*s[42])/3 - (47044*s[43])/33 + 
       (33697*s[44])/33 - (75976*s[45])/33 + (432716*s[46])/33 + 
       (12433*s[47])/99 - (26507*s[48])/99 + (668153*s[49])/99 - 
       (370012*s[50])/33 - (70135*s[51])/99 - (55507*s[52])/99 + 
       (828550*s[53])/99 + (60812*s[54])/33 + (1814059*s[55])/33 + 
       (325285*s[56])/33 + (354058*s[57])/33 + (4280737*s[58])/297 - 
       (5386123*s[59])/297 - (70918841*s[60])/594 + (14671823*s[61])/2673 - 
       32*s[69] - 160*s[76] + 16*s[77] + 64*s[78] + 192*s[79] + (16*s[80])/3)*
      \[Zeta][2] + HPL[{0, 1, 1, 1, 1}, 1 - w]*(240*s[2] - 498*s[4] - 
       (12780*s[5])/11 - (7092*s[6])/11 - (135246*s[7])/11 + 
       (238552*s[8])/297 + (294542*s[9])/27 + (118288*s[10])/27 + 
       (1253924*s[11])/99 + (1209529*s[12])/99 + (612035*s[13])/99 + 
       (329765*s[14])/99 + (185074*s[15])/9 + (2235647*s[16])/99 + 
       (2128118*s[17])/99 + (168994*s[18])/81 + (267032*s[19])/81 + 
       (24854714*s[20])/891 + (9991019*s[21])/891 - (5672209*s[22])/891 - 
       (837304*s[23])/99 - (13932748*s[24])/891 + (118789673*s[25])/8019 - 
       (78559097*s[26])/8019 + 32*s[29] + 160*s[31] + 248*s[33] - 256*s[34] - 
       48*s[35] + (704*s[36])/3 + (56*s[37])/3 - 418*s[38] + 1082*s[39] - 
       (3278*s[40])/3 + 1014*s[41] - (4042*s[42])/3 - (47044*s[43])/33 + 
       (33697*s[44])/33 - (75976*s[45])/33 + (432716*s[46])/33 + 
       (12433*s[47])/99 - (26507*s[48])/99 + (668153*s[49])/99 - 
       (370012*s[50])/33 - (70135*s[51])/99 - (55507*s[52])/99 + 
       (828550*s[53])/99 + (60812*s[54])/33 + (1814059*s[55])/33 + 
       (325285*s[56])/33 + (354058*s[57])/33 + (4280737*s[58])/297 - 
       (5386123*s[59])/297 - (70918841*s[60])/594 + (14671823*s[61])/2673 - 
       32*s[69] - 160*s[76] + 16*s[77] + 64*s[78] + 192*s[79] + (16*s[80])/3)*
      \[Zeta][2] + M1[v, u, w]*((-81*s[3])/2 - (401*s[4])/4 - (301*s[5])/22 - 
       (6909*s[6])/44 - (850591*s[7])/792 + (130403*s[8])/1188 + 
       (21616*s[9])/27 + (11063*s[10])/27 + (881807*s[11])/792 + 
       (109613*s[12])/99 + (491245*s[13])/792 + (176087*s[14])/792 + 
       (122969*s[15])/72 + (813455*s[16])/396 + (168345*s[17])/88 + 
       (19603*s[18])/162 + (110155*s[19])/324 + (7874143*s[20])/3564 + 
       (5144429*s[21])/7128 - (3625381*s[22])/7128 - (316105*s[23])/396 - 
       (5096951*s[24])/3564 + (45921571*s[25])/32076 - 
       (24746641*s[26])/32076 + 2*s[29] + 8*s[31] + 3*s[32] + 10*s[33] - 
       16*s[34] - s[36]/3 + 18*s[37] + 19*s[38] + (215*s[39])/4 - 
       (1073*s[40])/12 + (377*s[41])/4 - (1327*s[42])/12 - 
       (11347*s[43])/132 + (29321*s[44])/264 - (851*s[45])/22 + 
       (79303*s[46])/132 + (24749*s[47])/792 - (67585*s[48])/792 + 
       (337153*s[49])/792 - (18274*s[50])/33 - (51869*s[51])/792 - 
       (7091*s[52])/792 + (160397*s[53])/396 + (2735*s[54])/66 + 
       (625847*s[55])/264 + (324067*s[56])/792 + (133255*s[57])/297 + 
       (3907817*s[58])/7128 - (5163515*s[59])/7128 - (25014259*s[60])/4752 + 
       (15619625*s[61])/64152 + 4*s[68] - 8*s[69] - 10*s[76] + 8*s[77] + 
       4*s[78] - 4*s[79] + 18*s[80])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*(-20*s[2] - 39*s[3] + 
       (435*s[4])/2 + (3350*s[5])/11 + (8213*s[6])/22 + (627877*s[7])/132 - 
       (202265*s[8])/594 - (112547*s[9])/27 - (34927*s[10])/27 - 
       (2059595*s[11])/396 - (1110317*s[12])/198 - (1350563*s[13])/396 - 
       (218057*s[14])/396 - (234721*s[15])/36 - (787898*s[16])/99 - 
       (2455505*s[17])/396 - (63376*s[18])/81 - (128575*s[19])/162 - 
       (16884409*s[20])/1782 - (13008683*s[21])/3564 + (9142393*s[22])/3564 + 
       (984101*s[23])/198 + (9570245*s[24])/1782 - (105072307*s[25])/16038 + 
       (59666227*s[26])/16038 - 8*s[30] + 6*s[32] - 18*s[35] - 21*s[36] + 
       (76*s[37])/3 + 246*s[38] - (3105*s[39])/4 + (3349*s[40])/4 - 
       (2641*s[41])/4 + (4097*s[42])/4 + (34839*s[43])/44 - 
       (67685*s[44])/88 + (65495*s[45])/66 - (921397*s[46])/132 + 
       (25513*s[47])/264 + (65575*s[48])/264 - (971587*s[49])/264 + 
       (62019*s[50])/11 + (169735*s[51])/264 + (132743*s[52])/264 - 
       (1579397*s[53])/396 - (12868*s[54])/33 - (2281925*s[55])/88 - 
       (4731635*s[56])/792 + (613513*s[57])/297 - (70006201*s[58])/7128 + 
       (75774319*s[59])/7128 + (97026305*s[60])/1584 - 
       (185692891*s[61])/64152 - 10*s[68] - 6*s[69] - 16*s[76] - 6*s[77] - 
       6*s[78] + 56*s[79] + (62*s[80])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*(-2*s[2] - (189*s[3])/2 - 
       (575*s[4])/4 + (2183*s[5])/22 - (5617*s[6])/44 - (399137*s[7])/792 + 
       (122383*s[8])/1188 + (6883*s[9])/54 + (24689*s[10])/54 + 
       (287539*s[11])/792 + (50665*s[12])/396 - (34777*s[13])/792 + 
       (172693*s[14])/792 + (102031*s[15])/72 + (595201*s[16])/396 + 
       (173917*s[17])/88 - (21217*s[18])/162 + (174125*s[19])/324 + 
       (4105907*s[20])/3564 + (1011907*s[21])/7128 - (963167*s[22])/7128 + 
       (101075*s[23])/198 - (2115461*s[24])/1782 + (8582755*s[25])/16038 - 
       (1447175*s[26])/8019 + 16*s[31] + 6*s[32] + (9*s[33])/2 - 32*s[34] - 
       6*s[35] - 5*s[36] + (280*s[37])/3 + 152*s[38] - (1047*s[39])/4 + 
       (851*s[40])/4 - (335*s[41])/4 + (1095*s[42])/4 + (7657*s[43])/44 - 
       (9395*s[44])/88 + (14867*s[45])/66 - (164815*s[46])/132 + 
       (16629*s[47])/88 - (13269*s[48])/88 - (55079*s[49])/88 + 
       (7255*s[50])/11 + (14651*s[51])/88 + (25675*s[52])/88 - 
       (163595*s[53])/396 + (5666*s[54])/33 - (781705*s[55])/264 - 
       (872309*s[56])/792 + (1107100*s[57])/297 - (20610871*s[58])/7128 + 
       (18804409*s[59])/7128 + (14983519*s[60])/1584 - 
       (27857065*s[61])/64152 + 12*s[68] - 16*s[69] - 20*s[76] + 16*s[77] + 
       10*s[78] - 16*s[79] + (110*s[80])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*(51*s[2] - 58*s[3] + 
       (425*s[4])/4 + (41409*s[5])/44 + (14031*s[6])/11 + (1147238*s[7])/99 - 
       (108932*s[8])/297 - (279700*s[9])/27 - (403091*s[10])/108 - 
       (1232482*s[11])/99 - (2492185*s[12])/198 - (1480477*s[13])/198 - 
       (1509067*s[14])/396 - (149737*s[15])/9 - (7954649*s[16])/396 - 
       (384291*s[17])/22 - (362629*s[18])/162 - (147835*s[19])/81 - 
       (45441035*s[20])/1782 - (9227725*s[21])/891 + (22192259*s[22])/3564 + 
       (693373*s[23])/99 + (12163097*s[24])/891 - (232561079*s[25])/16038 + 
       (74303689*s[26])/8019 + 2*s[29] - 9*s[30] + 24*s[31] + 8*s[32] + 
       (185*s[33])/4 - 41*s[34] - (76*s[36])/3 + (149*s[37])/3 + 400*s[38] - 
       1076*s[39] + (3226*s[40])/3 - 797*s[41] + (4052*s[42])/3 + 
       (33566*s[43])/33 - (29510*s[44])/33 + (39917*s[45])/33 - 
       (273643*s[46])/33 + (63161*s[47])/198 + (27257*s[48])/198 - 
       (902129*s[49])/198 + (207272*s[50])/33 + (175501*s[51])/198 + 
       (80753*s[52])/99 - (433889*s[53])/99 - (8665*s[54])/33 - 
       (1883539*s[55])/66 - (450565*s[56])/66 + (193301*s[57])/33 - 
       (7553047*s[58])/594 + (7859161*s[59])/594 + (83706089*s[60])/1188 - 
       (18225101*s[61])/5346 + 4*s[66] + 20*s[68] - 28*s[69] + 24*s[70] + 
       4*s[73] - 6*s[76] - 22*s[77] - 4*s[78] - 32*s[79] + (148*s[80])/3)*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - u]*
      ((905*s[5])/66 + (412*s[6])/33 + (104801*s[7])/792 - (2891*s[8])/396 - 
       (4123*s[9])/36 - (1667*s[10])/36 - (31705*s[11])/264 - 
       (13687*s[12])/132 - (40105*s[13])/792 - (6123*s[14])/88 - 
       (16915*s[15])/72 - (92723*s[16])/396 - (198533*s[17])/792 - 
       (709*s[18])/27 - (2165*s[19])/108 - (370493*s[20])/1188 - 
       (31601*s[21])/264 + (154705*s[22])/2376 + (3898*s[23])/99 + 
       (185759*s[24])/1188 - (53641*s[25])/396 + (37441*s[26])/396 + 
       (8*s[37])/3 + (163*s[43])/33 + (169*s[44])/132 + (905*s[45])/33 - 
       (1454*s[46])/11 + (113*s[47])/396 + (509*s[48])/396 - 
       (4541*s[49])/396 + (3538*s[50])/33 - (637*s[51])/396 + 
       (5719*s[52])/396 - (19565*s[53])/198 + (1310*s[54])/33 - 
       (89051*s[55])/132 - (22249*s[56])/132 - (65267*s[57])/198 - 
       (100805*s[58])/1188 + (135767*s[59])/1188 + (2675075*s[60])/2376 - 
       (32111*s[61])/396 - 4*s[82])*\[Zeta][2] + HPL[{1}, 1 - u]^5*
      ((-377*s[5])/264 - (247*s[6])/132 - (47513*s[7])/3168 + 
       (1703*s[8])/1584 + (1819*s[9])/144 + (623*s[10])/144 + 
       (14941*s[11])/1056 + (7483*s[12])/528 + (24133*s[13])/3168 + 
       (3087*s[14])/352 + (6283*s[15])/288 + (38009*s[16])/1584 + 
       (71153*s[17])/3168 + (481*s[18])/108 - (55*s[19])/432 + 
       (162857*s[20])/4752 + (40903*s[21])/3168 - (70357*s[22])/9504 - 
       (4661*s[23])/792 - (71513*s[24])/4752 + (228185*s[25])/14256 - 
       (151685*s[26])/14256 - (4*s[37])/3 + (35*s[43])/132 + 
       (359*s[44])/528 - (377*s[45])/132 + (160*s[46])/11 - 
       (1433*s[47])/1584 - (1829*s[48])/1584 - (3643*s[49])/1584 - 
       (713*s[50])/66 - (1211*s[51])/1584 - (3607*s[52])/1584 + 
       (6827*s[53])/792 - (311*s[54])/33 + (33259*s[55])/528 + 
       (13537*s[56])/528 + (16427*s[57])/792 + (75461*s[58])/4752 - 
       (52607*s[59])/4752 - (1046459*s[60])/9504 + (168043*s[61])/14256 + 
       s[82])*\[Zeta][2] + HPL[{1}, 1 - w]^5*((43*s[4])/4 - (79*s[5])/44 + 
       (1945*s[6])/352 + (74483*s[7])/1056 - (46997*s[8])/3168 - 
       (14827*s[9])/288 - (1573*s[10])/144 - (167693*s[11])/2112 - 
       (207137*s[12])/2112 - (14909*s[13])/264 + (31643*s[14])/1056 - 
       (26285*s[15])/288 - (21095*s[16])/176 - (146591*s[17])/2112 - 
       (8747*s[18])/864 - (9979*s[19])/864 - (1009135*s[20])/9504 - 
       (138581*s[21])/4752 + (169651*s[22])/4752 + (359699*s[23])/2112 + 
       (1315843*s[24])/19008 - (20050103*s[25])/171072 + 
       (8640245*s[26])/171072 - (5*s[37])/6 + (5*s[38])/3 - (145*s[39])/12 + 
       (145*s[40])/12 - (43*s[41])/4 + (59*s[42])/3 + (679*s[43])/132 - 
       (1197*s[44])/176 + (1121*s[45])/132 - (3699*s[46])/44 + 
       (7681*s[47])/1056 - (11723*s[48])/1056 - (32305*s[49])/1056 + 
       (35473*s[50])/528 + (39581*s[51])/3168 + (4867*s[52])/528 - 
       (1636*s[53])/33 + (69*s[54])/22 - (321317*s[55])/1056 - 
       (93499*s[56])/1056 + (53963*s[57])/396 - (1454489*s[58])/9504 + 
       (1476611*s[59])/9504 + (3902323*s[60])/6336 - (959675*s[61])/21384 + 
       3*s[82])*\[Zeta][2] + HPL[{1}, 1 - v]^5*((219*s[5])/22 + 
       (11995*s[6])/1056 + (14733*s[7])/176 - (13139*s[8])/3168 - 
       (22189*s[9])/288 - (2027*s[10])/72 - (59689*s[11])/704 - 
       (167581*s[12])/2112 - (43037*s[13])/1056 - (1349*s[14])/33 - 
       (4741*s[15])/36 - (80225*s[16])/528 - (100043*s[17])/704 - 
       (25331*s[18])/864 + (2411*s[19])/864 - (1937425*s[20])/9504 - 
       (923401*s[21])/9504 + (421373*s[22])/9504 + (200903*s[23])/2112 + 
       (1459195*s[24])/19008 - (14861183*s[25])/171072 + 
       (12772373*s[26])/171072 - (5*s[37])/6 + (5*s[38])/3 - (145*s[39])/12 + 
       (145*s[40])/12 - (43*s[41])/4 + (59*s[42])/3 + (679*s[43])/132 - 
       (1197*s[44])/176 + (1121*s[45])/132 - (3699*s[46])/44 + 
       (7681*s[47])/1056 - (11723*s[48])/1056 - (32305*s[49])/1056 + 
       (35473*s[50])/528 + (39581*s[51])/3168 + (4867*s[52])/528 - 
       (1636*s[53])/33 + (69*s[54])/22 - (321317*s[55])/1056 - 
       (93499*s[56])/1056 + (53963*s[57])/396 - (1454489*s[58])/9504 + 
       (1476611*s[59])/9504 + (3902323*s[60])/6336 - (959675*s[61])/21384 + 
       3*s[82])*\[Zeta][2] + Qep[u, w, v]*((-4064*s[2])/3 - (3232*s[3])/3 - 
       13104*s[4] - (489064*s[5])/33 - (1339256*s[6])/33 - 
       (83345200*s[7])/297 + (16143016*s[8])/891 + (19119368*s[9])/81 + 
       (6425080*s[10])/81 + (90699728*s[11])/297 + (96477784*s[12])/297 + 
       (57924712*s[13])/297 + (19517528*s[14])/297 + (10136792*s[15])/27 + 
       (141984136*s[16])/297 + (38919560*s[17])/99 + (14354104*s[18])/243 + 
       (8618624*s[19])/243 + (1529347568*s[20])/2673 + 
       (595519904*s[21])/2673 - (386500744*s[22])/2673 - 
       (86503592*s[23])/297 - (808655992*s[24])/2673 + 
       (8991637772*s[25])/24057 - (5373883436*s[26])/24057 + (128*s[30])/3 - 
       448*s[31] + 160*s[32] + 288*s[33] + 256*s[34] - 640*s[35] - 
       (2240*s[36])/9 + (880*s[37])/3 - (24352*s[38])/3 + 30864*s[39] - 
       (325072*s[40])/9 + (84320*s[41])/3 - (379328*s[42])/9 - 
       (325648*s[43])/9 + (285808*s[44])/9 - (138136*s[45])/3 + 
       (2839144*s[46])/9 - (97520*s[47])/27 - (588512*s[48])/27 + 
       (3985328*s[49])/27 - (2087200*s[50])/9 - (740848*s[51])/27 - 
       (678208*s[52])/27 + (4529000*s[53])/27 - (156656*s[54])/9 + 
       (9754000*s[55])/9 + (8315360*s[56])/27 - (14317472*s[57])/81 + 
       (113301448*s[58])/243 - (114981568*s[59])/243 - (208653892*s[60])/81 + 
       (336628492*s[61])/2187 + (640*s[68])/3 - (1280*s[69])/3 + 160*s[71] + 
       1152*s[73] - 160*s[74] + 160*s[75] + (2816*s[76])/3 + 384*s[77] - 
       (3328*s[78])/3 - 2432*s[79] + (4448*s[80])/3 - (13952*s[82])/3 - 
       (6400*s[85])/3)*\[Zeta][2] + Qep[v, u, w]*((-2624*s[2])/3 - 
       (2816*s[3])/3 - 8080*s[4] - (112312*s[5])/11 - (335624*s[6])/11 - 
       (54528040*s[7])/297 + (9374072*s[8])/891 + (12527656*s[9])/81 + 
       (4024712*s[10])/81 + (59694544*s[11])/297 + (63610904*s[12])/297 + 
       (12940504*s[13])/99 + (14948968*s[14])/297 + (2161168*s[15])/9 + 
       (30739328*s[16])/99 + (75734408*s[17])/297 + (10176776*s[18])/243 + 
       (4375312*s[19])/243 + (1005776416*s[20])/2673 + 
       (401219056*s[21])/2673 - (252255464*s[22])/2673 - 
       (19096016*s[23])/99 - (516892592*s[24])/2673 + 
       (5859435796*s[25])/24057 - (3599526004*s[26])/24057 + 64*s[30] - 
       (896*s[31])/3 + (256*s[32])/3 + (80*s[33])/3 + (640*s[34])/3 - 
       512*s[35] - (3584*s[36])/9 + (2368*s[37])/9 - 5440*s[38] + 
       20896*s[39] - (222880*s[40])/9 + (57152*s[41])/3 - (257792*s[42])/9 - 
       (2452448*s[43])/99 + (2123120*s[44])/99 - (3225632*s[45])/99 + 
       (21737920*s[46])/99 - (802624*s[47])/297 - (4630624*s[48])/297 + 
       (29115520*s[49])/297 - (15723968*s[50])/99 - (5649152*s[51])/297 - 
       (5352080*s[52])/297 + (34249664*s[53])/297 - (1773344*s[54])/99 + 
       (8231808*s[55])/11 + (21913792*s[56])/99 - (39716576*s[57])/297 + 
       (97844000*s[58])/297 - (32652640*s[59])/99 - (1582093232*s[60])/891 + 
       (886202336*s[61])/8019 + 128*s[68] - 256*s[69] + 128*s[71] + 
       768*s[73] - 128*s[74] + 128*s[75] + 640*s[76] + 256*s[77] - 
       768*s[78] - (5632*s[79])/3 + (11648*s[80])/9 - (6400*s[82])/3 - 
       (5120*s[85])/3)*\[Zeta][2] + Qep[w, v, u]*((-1184*s[2])/3 - 576*s[3] - 
       4304*s[4] - (201536*s[5])/33 - (599920*s[6])/33 - 
       (31819936*s[7])/297 + (2067104*s[8])/297 + (2431456*s[9])/27 + 
       (778544*s[10])/27 + (11492504*s[11])/99 + (12298640*s[12])/99 + 
       (22125704*s[13])/297 + (3097112*s[14])/99 + (3722800*s[15])/27 + 
       (53168312*s[16])/297 + (43555048*s[17])/297 + (2188816*s[18])/81 + 
       (583136*s[19])/81 + (196631264*s[20])/891 + (26612056*s[21])/297 - 
       (48638264*s[22])/891 - (35646904*s[23])/297 - (96463064*s[24])/891 + 
       (124274072*s[25])/891 - (78365336*s[26])/891 + (64*s[30])/3 - 
       (448*s[31])/3 + (32*s[32])/3 + (784*s[33])/3 - (256*s[34])/3 - 
       384*s[35] - (4928*s[36])/9 + (2096*s[37])/9 - (8288*s[38])/3 + 
       10928*s[39] - (120688*s[40])/9 + (29984*s[41])/3 - (136256*s[42])/9 - 
       (1322768*s[43])/99 + (1102352*s[44])/99 - (1892776*s[45])/99 + 
       (1360584*s[46])/11 - (532528*s[47])/297 - (2787616*s[48])/297 + 
       (14392432*s[49])/297 - (8488736*s[50])/99 - (3148976*s[51])/297 - 
       (3243872*s[52])/297 + (691864*s[53])/11 - (202608*s[54])/11 + 
       (40878544*s[55])/99 + (40013792*s[56])/297 - (80807264*s[57])/891 + 
       (514876072*s[58])/2673 - (498445312*s[59])/2673 - 
       (868993652*s[60])/891 + (1614300604*s[61])/24057 + (128*s[68])/3 - 
       (256*s[69])/3 + 96*s[71] + 384*s[73] - 96*s[74] + 96*s[75] + 
       (1024*s[76])/3 + 128*s[77] - (1280*s[78])/3 - (3968*s[79])/3 + 
       (9952*s[80])/9 + 384*s[82] - 1280*s[85])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*((170*s[2])/3 - 
       (4931*s[3])/12 - (61793*s[4])/24 - (90043*s[5])/33 - 
       (1924843*s[6])/264 - (253506139*s[7])/4752 + (9235327*s[8])/2376 + 
       (4859863*s[9])/108 + (1570409*s[10])/108 + (92173133*s[11])/1584 + 
       (24837311*s[12])/396 + (180530417*s[13])/4752 + 
       (18258857*s[14])/1584 + (30317641*s[15])/432 + 
       (213491857*s[16])/2376 + (339434101*s[17])/4752 + 
       (3595327*s[18])/324 + (4146883*s[19])/648 + (778573453*s[20])/7128 + 
       (197260861*s[21])/4752 - (394851467*s[22])/14256 - 
       (133475843*s[23])/2376 - (414189103*s[24])/7128 + 
       (257196685*s[25])/3564 - (75218093*s[26])/1782 + 47*s[30] + 49*s[31] - 
       (241*s[32])/6 + 43*s[33] - (272*s[34])/3 + (95*s[35])/3 - 
       (1004*s[36])/9 - (853*s[37])/36 - (9277*s[38])/6 + (71363*s[39])/12 - 
       (253105*s[40])/36 + (10921*s[41])/2 - (148429*s[42])/18 - 
       (2687339*s[43])/396 + (4843801*s[44])/792 - (8049353*s[45])/792 + 
       (5844417*s[46])/88 - (2595803*s[47])/2376 - (8784821*s[48])/2376 + 
       (65843957*s[49])/2376 - (4968362*s[50])/99 - (13956727*s[51])/2376 - 
       (12242479*s[52])/2376 + (28329833*s[53])/792 - (436633*s[54])/132 + 
       (185878189*s[55])/792 + (156277513*s[56])/2376 - 
       (109766345*s[57])/3564 + (525662261*s[58])/5346 - 
       (2096577059*s[59])/21384 - (3932072653*s[60])/7128 + 
       (12768323467*s[61])/384912 - 5*s[65] - 18*s[66] + 28*s[67] - 
       (10*s[68])/3 + (218*s[69])/3 - 40*s[70] + (39*s[71])/2 + 
       (38*s[72])/3 - 156*s[73] - (83*s[74])/3 + (83*s[75])/3 - 
       (310*s[76])/3 + 23*s[77] + (350*s[78])/3 - (1610*s[79])/3 + 
       (5639*s[80])/18 - 1470*s[82] + (107*s[83])/2 - 137*s[84] - 892*s[85])*
      \[Zeta][2] + HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      (183*s[2] - (831*s[3])/2 - (1325*s[4])/3 - (312077*s[5])/264 - 
       (910739*s[6])/264 - (6783703*s[7])/396 + (10233631*s[8])/7128 + 
       (9296411*s[9])/648 + (2648821*s[10])/648 + (5372986*s[11])/297 + 
       (5852633*s[12])/297 + (13555669*s[13])/1188 + (2077162*s[14])/297 + 
       (4442293*s[15])/216 + (32608495*s[16])/1188 + (51518627*s[17])/2376 + 
       (12226513*s[18])/1944 - (366587*s[19])/243 + (400135345*s[20])/10692 + 
       (348273485*s[21])/21384 - (22789163*s[22])/2673 - 
       (55735153*s[23])/2376 - (312941749*s[24])/21384 + 
       (8033958787*s[25])/384912 - (5761808815*s[26])/384912 + (37*s[30])/3 + 
       (218*s[31])/3 - 58*s[32] + (1211*s[33])/12 - (508*s[34])/3 - 6*s[35] - 
       (2434*s[36])/9 + (455*s[37])/9 - (791*s[38])/3 + (2789*s[39])/2 - 
       (33625*s[40])/18 + (3793*s[41])/3 - (19747*s[42])/9 - 
       (295367*s[43])/198 + (918347*s[44])/792 - (394087*s[45])/99 + 
       (4387519*s[46])/198 - (2148577*s[47])/2376 - (2299717*s[48])/2376 + 
       (8375923*s[49])/2376 - (2866601*s[50])/198 - (4819757*s[51])/2376 - 
       (5541671*s[52])/2376 + (6377795*s[53])/594 - (662182*s[54])/99 + 
       (6497291*s[55])/88 + (23250107*s[56])/792 - (8945963*s[57])/396 + 
       (275841299*s[58])/7128 - (240719189*s[59])/7128 - 
       (2342407321*s[60])/14256 + (960723943*s[61])/64152 - 42*s[68] + 
       84*s[69] - 24*s[70] + 20*s[71] - 12*s[72] - (532*s[73])/3 - 15*s[74] + 
       15*s[75] - 110*s[76] - (38*s[77])/3 + (320*s[78])/3 - (400*s[79])/3 + 
       (2182*s[80])/9 - (2440*s[82])/3 + (89*s[83])/2 - 135*s[84] - 
       (2648*s[85])/3)*\[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*((-1121*s[2])/3 - (1603*s[3])/6 - (49385*s[4])/6 - 
       (507601*s[5])/66 - (2375677*s[6])/132 - (13807779*s[7])/88 + 
       (13560469*s[8])/1188 + (3588761*s[9])/27 + (2392835*s[10])/54 + 
       (33958429*s[11])/198 + (145940765*s[12])/792 + (87247543*s[13])/792 + 
       (21114967*s[14])/792 + (15291575*s[15])/72 + (53059219*s[16])/198 + 
       (84738263*s[17])/396 + (9402949*s[18])/324 + (7898843*s[19])/324 + 
       (1134073403*s[20])/3564 + (844256371*s[21])/7128 - 
       (586880135*s[22])/7128 - (128957981*s[23])/792 - 
       (1243509401*s[24])/7128 + (6873600389*s[25])/32076 - 
       (1948721785*s[26])/16038 - 4*s[29] + (71*s[30])/3 - (314*s[31])/3 + 
       (155*s[32])/3 + (59*s[33])/12 + (401*s[34])/3 + (107*s[35])/3 + 
       (2317*s[36])/6 - (863*s[37])/3 - (10555*s[38])/2 + (486169*s[39])/24 - 
       (545645*s[40])/24 + (432911*s[41])/24 - (679871*s[42])/24 - 
       (481157*s[43])/24 + (955423*s[44])/48 - (287171*s[45])/12 + 
       (4252229*s[46])/24 - (663845*s[47])/144 - (994775*s[48])/144 + 
       (13061879*s[49])/144 - (411370*s[50])/3 - (2704363*s[51])/144 - 
       (2174725*s[52])/144 + (864256*s[53])/9 + (11305*s[54])/6 + 
       (88363079*s[55])/144 + (2520701*s[56])/16 - (1365521*s[57])/12 + 
       (113915941*s[58])/432 - (117316291*s[59])/432 - 
       (1276106921*s[60])/864 + (303939143*s[61])/3888 - 2*s[65] + 16*s[66] - 
       8*s[67] + 66*s[68] - 132*s[69] - 14*s[70] + 22*s[71] - (142*s[72])/3 + 
       213*s[73] + (209*s[74])/6 - (209*s[75])/6 + (520*s[76])/3 + 91*s[77] - 
       (743*s[78])/3 - 1398*s[79] + (841*s[80])/3 - 4244*s[82] + 23*s[83] - 
       486*s[84] - 868*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((-641*s[2])/2 - (1873*s[3])/4 - (60361*s[4])/8 - 
       (25585*s[5])/4 - (367627*s[6])/24 - (58618205*s[7])/432 + 
       (2128421*s[8])/216 + (12366169*s[9])/108 + (4165721*s[10])/108 + 
       (21349627*s[11])/144 + (11459639*s[12])/72 + (41128273*s[13])/432 + 
       (3131197*s[14])/144 + (79871917*s[15])/432 + (12548723*s[16])/54 + 
       (80392667*s[17])/432 + (7735093*s[18])/324 + (14883127*s[19])/648 + 
       (177381263*s[20])/648 + (43269377*s[21])/432 - (92009359*s[22])/1296 - 
       (30103993*s[23])/216 - (98989823*s[24])/648 + (40287671*s[25])/216 - 
       (2497999*s[26])/24 + 10*s[30] - (224*s[31])/3 + (164*s[32])/3 + 
       (349*s[33])/12 + 100*s[34] + (43*s[35])/3 + (4903*s[36])/18 - 
       (2341*s[37])/9 - (25169*s[38])/6 + (380633*s[39])/24 - 
       (1292167*s[40])/72 + (114053*s[41])/8 - (1582589*s[42])/72 - 
       (12988517*s[43])/792 + (25240999*s[44])/1584 - (8011867*s[45])/396 + 
       (115530901*s[46])/792 - (14051021*s[47])/4752 - 
       (32139839*s[48])/4752 + (349133231*s[49])/4752 - (11191288*s[50])/99 - 
       (69583219*s[51])/4752 - (55724557*s[52])/4752 + (23647348*s[53])/297 + 
       (224509*s[54])/198 + (808533221*s[55])/1584 + (206959151*s[56])/1584 - 
       (92107759*s[57])/1188 + (1010716319*s[58])/4752 - 
       (1043861881*s[59])/4752 - (34855079537*s[60])/28512 + 
       (8343587503*s[61])/128304 - 2*s[65] - 16*s[66] + 24*s[67] + 66*s[68] - 
       68*s[69] - 30*s[70] + 22*s[71] - (14*s[72])/3 + (607*s[73])/3 + 
       (49*s[74])/6 - (49*s[75])/6 + (488*s[76])/3 + (257*s[77])/3 - 
       141*s[78] - 1174*s[79] + (2347*s[80])/9 - 3908*s[82] - s[83] - 
       470*s[84] - 740*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*(-312*s[2] - (5347*s[3])/24 - 
       (353087*s[4])/48 - (389137*s[5])/66 - (467498*s[6])/33 - 
       (407047837*s[7])/3168 + (34321435*s[8])/3564 + (140646857*s[9])/1296 + 
       (5843651*s[10])/162 + (668728463*s[11])/4752 + 
       (1442070647*s[12])/9504 + (862274167*s[13])/9504 + 
       (178764673*s[14])/9504 + (150647729*s[15])/864 + 
       (1043795351*s[16])/4752 + (51707669*s[17])/297 + 
       (44026949*s[18])/1944 + (83004911*s[19])/3888 + 
       (11034960521*s[20])/42768 + (8046137257*s[21])/85536 - 
       (5771023457*s[22])/85536 - (1299044831*s[23])/9504 - 
       (12289792409*s[24])/85536 + (136671057859*s[25])/769824 - 
       (75752048749*s[26])/769824 - (2*s[30])/3 - (272*s[31])/3 + 
       (118*s[32])/3 - (65*s[33])/4 + (419*s[34])/3 + 43*s[35] + 
       (693*s[36])/2 - (6953*s[37])/36 - (26843*s[38])/6 + (139511*s[39])/8 - 
       (471413*s[40])/24 + (377449*s[41])/24 - (587615*s[42])/24 - 
       (1515807*s[43])/88 + (4580735*s[44])/264 - (8050025*s[45])/396 + 
       (120881539*s[46])/792 - (5895745*s[47])/1584 - (9751795*s[48])/1584 + 
       (62555765*s[49])/792 - (31457215*s[50])/264 - (1613122*s[51])/99 - 
       (2512951*s[52])/198 + (24731290*s[53])/297 + (1932649*s[54])/792 + 
       (840610913*s[55])/1584 + (39930095*s[56])/297 - 
       (327759719*s[57])/3564 + (4797893801*s[58])/21384 - 
       (4961987543*s[59])/21384 - (3035241371*s[60])/2376 + 
       (12838857485*s[61])/192456 + 62*s[68] - 108*s[69] - 28*s[70] + 
       14*s[71] - 42*s[72] + 216*s[73] + (427*s[74])/12 - (427*s[75])/12 + 
       178*s[76] + 111*s[77] - 194*s[78] - (4136*s[79])/3 + (2738*s[80])/9 - 
       (7321*s[82])/2 + (9*s[83])/2 - 471*s[84] - 734*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-7357*s[2])/24 - (12173*s[3])/48 - (803855*s[4])/96 - 
       (3698197*s[5])/528 - (18430073*s[6])/1056 - (2828500619*s[7])/19008 + 
       (318119611*s[8])/28512 + (163251685*s[9])/1296 + 
       (26025511*s[10])/648 + (3107719819*s[11])/19008 + 
       (1686950161*s[12])/9504 + (2033372135*s[13])/19008 + 
       (431891689*s[14])/19008 + (341936197*s[15])/1728 + 
       (1195907729*s[16])/4752 + (1246295551*s[17])/6336 + 
       (27081833*s[18])/972 + (169284113*s[19])/7776 + 
       (25485097829*s[20])/85536 + (18858822727*s[21])/171072 - 
       (13369654487*s[22])/171072 - (1566822143*s[23])/9504 - 
       (13920295129*s[24])/85536 + (79238831389*s[25])/384912 - 
       (11107750477*s[26])/96228 - (3*s[30])/4 - (307*s[31])/3 + 
       (137*s[32])/3 + (85*s[33])/4 + (539*s[34])/4 + (55*s[35])/4 + 
       (4933*s[36])/18 - (10277*s[37])/24 - (58031*s[38])/12 + 
       (290791*s[39])/16 - (2953223*s[40])/144 + (763687*s[41])/48 - 
       (3676423*s[42])/144 - (27718081*s[43])/1584 + (54862517*s[44])/3168 - 
       (10877545*s[45])/528 + (60609319*s[46])/396 - (46398463*s[47])/9504 - 
       (47669689*s[48])/9504 + (729785917*s[49])/9504 - 
       (91941119*s[50])/792 - (164047349*s[51])/9504 - 
       (138075131*s[52])/9504 + (384815525*s[53])/4752 - 
       (2443093*s[54])/792 + (1643097623*s[55])/3168 + 
       (1326589843*s[56])/9504 - (223003885*s[57])/1782 + 
       (20225164697*s[58])/85536 - (20520533555*s[59])/85536 - 
       (71741254921*s[60])/57024 + (52369386893*s[61])/769824 - 2*s[67] + 
       (104*s[68])/3 - (202*s[69])/3 - (19*s[70])/2 + 26*s[71] - 
       (63*s[72])/2 + (401*s[73])/2 + (203*s[74])/8 - (203*s[75])/8 + 
       (1001*s[76])/6 + (279*s[77])/4 - (479*s[78])/3 - 1630*s[79] + 
       (5281*s[80])/12 - (5782*s[82])/3 - (51*s[83])/4 - (1077*s[84])/2 - 
       (1934*s[85])/3)*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
      (107*s[2] - (305*s[3])/2 - (517*s[4])/4 - (14862*s[5])/11 - 
       (195179*s[6])/44 - (13304057*s[7])/792 + (1401223*s[8])/1188 + 
       (773281*s[9])/54 + (80194*s[10])/27 + (14548123*s[11])/792 + 
       (2059474*s[12])/99 + (10239689*s[13])/792 + (6641959*s[14])/792 + 
       (1195111*s[15])/72 + (2476762*s[16])/99 + (4830415*s[17])/264 + 
       (569350*s[18])/81 - (1089649*s[19])/324 + (128238089*s[20])/3564 + 
       (120052561*s[21])/7128 - (59929337*s[22])/7128 - (4965427*s[23])/198 - 
       (21992075*s[24])/1782 + (666443147*s[25])/32076 - 
       (503350637*s[26])/32076 + 64*s[30] + 24*s[31] - 36*s[32] + 
       (135*s[33])/2 - 132*s[34] - 78*s[35] - (1060*s[36])/3 - (31*s[37])/3 - 
       324*s[38] + (4007*s[39])/2 - (15733*s[40])/6 + (3191*s[41])/2 - 
       (20063*s[42])/6 - (86243*s[43])/66 + (46297*s[44])/33 - 
       (197891*s[45])/66 + (619961*s[46])/33 - (395629*s[47])/198 + 
       (19606*s[48])/99 + (335179*s[49])/198 - (326923*s[50])/33 - 
       (310129*s[51])/99 - (701579*s[52])/198 + (1407233*s[53])/198 - 
       (360175*s[54])/33 + (1627156*s[55])/33 + (620527*s[56])/22 - 
       (9370705*s[57])/198 + (12286874*s[58])/297 - (9831995*s[59])/297 - 
       (70473335*s[60])/594 + (24458881*s[61])/1782 + 2*s[65] + 12*s[66] - 
       12*s[67] - 64*s[68] + 64*s[69] + 32*s[70] + 22*s[71] - 28*s[72] - 
       116*s[73] + s[74] - s[75] - 76*s[76] - 78*s[77] + 36*s[78] - 
       472*s[79] + (1438*s[80])/3 + 1168*s[82] + 3*s[83] - 66*s[84] - 
       568*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((-907*s[2])/3 - (1205*s[3])/6 - (37681*s[4])/6 - 
       (340103*s[5])/66 - (410422*s[6])/33 - (131661947*s[7])/1188 + 
       (3260767*s[8])/396 + (561025*s[9])/6 + (1117711*s[10])/36 + 
       (48152051*s[11])/396 + (4327261*s[12])/33 + (93437479*s[13])/1188 + 
       (6527513*s[14])/396 + (4052426*s[15])/27 + (225087025*s[16])/1188 + 
       (89303509*s[17])/594 + (6272791*s[18])/324 + (3027223*s[19])/162 + 
       (792088571*s[20])/3564 + (289374007*s[21])/3564 - 
       (17268094*s[22])/297 - (138898235*s[23])/1188 - (12317290*s[24])/99 + 
       (9838842659*s[25])/64152 - (5456103965*s[26])/64152 + (7*s[30])/3 - 
       (254*s[31])/3 + (98*s[32])/3 + (3*s[33])/4 + (331*s[34])/3 - 2*s[35] + 
       (2590*s[36])/9 - (1916*s[37])/9 - (11168*s[38])/3 + 14257*s[39] - 
       (144127*s[40])/9 + (37937*s[41])/3 - (178934*s[42])/9 - 
       (1407803*s[43])/99 + (2803351*s[44])/198 - (1618841*s[45])/99 + 
       (12190252*s[46])/99 - (896578*s[47])/297 - (1508167*s[48])/297 + 
       (19189558*s[49])/297 - (9448727*s[50])/99 - (3870827*s[51])/297 - 
       (6157561*s[52])/594 + (39686209*s[53])/594 + (184102*s[54])/99 + 
       (14039825*s[55])/33 + (10689850*s[56])/99 - (23071907*s[57])/297 + 
       (36012775*s[58])/198 - (55911859*s[59])/297 - (917144627*s[60])/891 + 
       (1711983851*s[61])/32076 + 48*s[68] - 96*s[69] - 32*s[70] + 8*s[71] - 
       28*s[72] + (644*s[73])/3 + 19*s[74] - 19*s[75] + 180*s[76] + 
       (298*s[77])/3 - (592*s[78])/3 - 1108*s[79] + (2624*s[80])/9 - 
       2740*s[82] + 2*s[83] - 364*s[84] - 544*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((856*s[2])/3 - (489*s[3])/2 + (405*s[4])/2 + (695*s[5])/4 + 
       (2965*s[6])/3 + (788219*s[7])/216 + (32977*s[8])/81 - 
       (970151*s[9])/324 - (553765*s[10])/324 - (219083*s[11])/54 - 
       (722245*s[12])/216 - (18101*s[13])/8 - (397007*s[14])/216 - 
       (438425*s[15])/72 - (266359*s[16])/36 - (465253*s[17])/54 + 
       (18479*s[18])/972 - (431486*s[19])/243 - (6492637*s[20])/972 - 
       (5246399*s[21])/1944 + (3507415*s[22])/1944 - (5903*s[23])/8 + 
       (9919219*s[24])/1944 - (79429685*s[25])/17496 + 
       (46727573*s[26])/17496 + (7*s[30])/3 + 102*s[31] - (179*s[32])/3 + 
       (215*s[33])/12 - 135*s[34] + (406*s[35])/3 + (14*s[36])/9 - 
       (281*s[37])/9 + 58*s[38] - (530*s[39])/3 + (3316*s[40])/9 - 
       (1363*s[41])/3 - (424*s[42])/9 + (10705*s[43])/9 - (15893*s[44])/18 + 
       (8587*s[45])/18 - (26705*s[46])/6 - (131989*s[47])/108 + 
       (241787*s[48])/108 - (574067*s[49])/108 + (61313*s[50])/18 - 
       (52079*s[51])/108 - (29653*s[52])/54 - (25810*s[53])/9 - 1394*s[54] - 
       (610973*s[55])/36 - (262237*s[56])/108 - (905066*s[57])/81 - 
       (562115*s[58])/972 + (3636569*s[59])/972 + (28043999*s[60])/648 - 
       (2118413*s[61])/2187 - 72*s[68] + 136*s[69] - 24*s[70] - 14*s[71] - 
       28*s[72] - (904*s[73])/3 + 23*s[74] - 23*s[75] - 196*s[76] - 
       (218*s[77])/3 + (704*s[78])/3 + (632*s[79])/3 - (1306*s[80])/9 - 
       604*s[82] + 49*s[83] - 214*s[84] - 544*s[85])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*((-5957*s[2])/24 - 
       (3893*s[3])/48 - (153069*s[4])/32 - (2527781*s[5])/528 - 
       (11323145*s[6])/1056 - (1776079163*s[7])/19008 + 
       (188853427*s[8])/28512 + (102821605*s[9])/1296 + 
       (16918453*s[10])/648 + (1951876195*s[11])/19008 + 
       (1051925341*s[12])/9504 + (1262253143*s[13])/19008 + 
       (290522377*s[14])/19008 + (217050997*s[15])/1728 + 
       (756136013*s[16])/4752 + (800621783*s[17])/6336 + 
       (16643015*s[18])/972 + (115627169*s[19])/7776 + 
       (16109918909*s[20])/85536 + (12069324919*s[21])/171072 - 
       (8393360567*s[22])/171072 - (930311507*s[23])/9504 - 
       (8890779685*s[24])/85536 + (49388828431*s[25])/384912 - 
       (14004178751*s[26])/192456 + 14*s[29] + (151*s[30])/12 - 57*s[31] + 
       39*s[32] + (273*s[33])/4 + (387*s[34])/4 - (149*s[35])/4 + 
       (4453*s[36])/18 - (7597*s[37])/24 - (41015*s[38])/12 + 
       (194983*s[39])/16 - (1973927*s[40])/144 + (506551*s[41])/48 - 
       (2389303*s[42])/144 - (20110657*s[43])/1584 + (38239889*s[44])/3168 - 
       (8079761*s[45])/528 + (43367677*s[46])/396 - (22044595*s[47])/9504 - 
       (48963949*s[48])/9504 + (535822873*s[49])/9504 - 
       (66419183*s[50])/792 - (102397145*s[51])/9504 - 
       (86116631*s[52])/9504 + (279578129*s[53])/4752 + (975971*s[54])/792 + 
       (1198190435*s[55])/3168 + (930127975*s[56])/9504 - 
       (239448263*s[57])/3564 + (13913560013*s[58])/85536 - 
       (14343545903*s[59])/85536 - (52258576189*s[60])/57024 + 
       (37454121473*s[61])/769824 + s[65] - 4*s[66] - 4*s[67] + 
       (74*s[68])/3 - (226*s[69])/3 - (63*s[70])/2 + 9*s[71] + s[72]/2 + 
       (485*s[73])/2 - (109*s[74])/8 + (109*s[75])/8 + (965*s[76])/6 + 
       (319*s[77])/4 - (419*s[78])/3 - 794*s[79] + (2993*s[80])/12 - 
       (8746*s[82])/3 - (45*s[83])/4 - (399*s[84])/2 - (1574*s[85])/3)*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      (-53*s[2] - (457*s[3])/2 - (22457*s[4])/8 - (187783*s[5])/88 - 
       (487589*s[6])/88 - (19340135*s[7])/396 + (3034315*s[8])/792 + 
       (2957933*s[9])/72 + (980365*s[10])/72 + (9434855*s[11])/176 + 
       (30762199*s[12])/528 + (27592031*s[13])/792 + (623907*s[14])/88 + 
       (2345743*s[15])/36 + (65791103*s[16])/792 + (102647429*s[17])/1584 + 
       (649469*s[18])/72 + (549281*s[19])/72 + (77773429*s[20])/792 + 
       (84965377*s[21])/2376 - (30371993*s[22])/1188 - 
       (84145247*s[23])/1584 - (257794145*s[24])/4752 + 
       (2897609303*s[25])/42768 - (1607915873*s[26])/42768 + s[29] + 
       (13*s[30])/2 - 10*s[31] - 2*s[32] + (265*s[33])/8 - (33*s[34])/2 + 
       14*s[35] + (277*s[36])/3 - (74*s[37])/3 - (10775*s[38])/6 + 
       (20531*s[39])/3 - 7747*s[40] + (24875*s[41])/4 - (38135*s[42])/4 - 
       (229186*s[43])/33 + (228476*s[44])/33 - (371171*s[45])/44 + 
       (8170183*s[46])/132 - (129097*s[47])/99 - (301126*s[48])/99 + 
       (12498685*s[49])/396 - (6359977*s[50])/132 - (1279055*s[51])/198 - 
       (500507*s[52])/99 + (13242365*s[53])/396 + (141055*s[54])/132 + 
       (2355845*s[55])/11 + (2413485*s[56])/44 - (14396749*s[57])/396 + 
       (54093773*s[58])/594 - (110866561*s[59])/1188 - 
       (154218584*s[60])/297 + (98126591*s[61])/3564 + 4*s[66] - 2*s[67] + 
       20*s[68] - 30*s[69] - 29*s[70] + 10*s[71] - 18*s[72] + 19*s[73] + 
       14*s[74] - 14*s[75] + 36*s[76] + 43*s[77] - 38*s[78] - 467*s[79] + 
       (209*s[80])/3 - 2108*s[82] - s[83]/2 - 265*s[84] - 500*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      (192*s[2] - 243*s[3] + (3981*s[4])/4 + (61613*s[5])/88 + 
       (29563*s[6])/176 + (2552889*s[7])/176 - (4029233*s[8])/4752 - 
       (5376229*s[9])/432 - (1110799*s[10])/216 - (51160919*s[11])/3168 - 
       (52379869*s[12])/3168 - (15832717*s[13])/1584 + (358895*s[14])/396 - 
       (3312065*s[15])/144 - (21269153*s[16])/792 - (72313031*s[17])/3168 - 
       (45595*s[18])/648 - (1999801*s[19])/324 - (389916385*s[20])/14256 - 
       (16040471*s[21])/1782 + (113121143*s[22])/14256 + 
       (28480087*s[23])/3168 + (576324949*s[24])/28512 - 
       (5432238551*s[25])/256608 + (2564912819*s[26])/256608 + s[30] + 
       58*s[31] - 51*s[32] + (113*s[33])/4 - 155*s[34] - 44*s[35] - 
       (1060*s[36])/3 + (2087*s[37])/12 + 866*s[38] - (4561*s[39])/2 + 
       (12803*s[40])/6 - (3669*s[41])/2 + (31571*s[42])/12 + 
       (30523*s[43])/12 - (110041*s[44])/48 + (4915*s[45])/3 - 
       (174749*s[46])/12 - (2482*s[47])/9 + (27293*s[48])/36 - 
       (2015363*s[49])/144 + (324935*s[50])/24 + (142381*s[51])/144 + 
       (61681*s[52])/144 - (674579*s[53])/72 - (180355*s[54])/24 - 
       (170026*s[55])/3 - (75003*s[56])/16 - (155593*s[57])/36 - 
       (6768551*s[58])/432 + (9698489*s[59])/432 + (122870423*s[60])/864 - 
       (332651*s[61])/144 - 54*s[68] + 108*s[69] - 10*s[70] + 10*s[71] - 
       20*s[72] - 204*s[73] + 5*s[74] - 5*s[75] - 124*s[76] - 38*s[77] + 
       130*s[78] - 228*s[79] + (961*s[80])/3 + 228*s[82] + (3*s[83])/2 - 
       117*s[84] - 500*s[85])*\[Zeta][2] + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*((-1535*s[2])/6 - 52*s[3] - (42953*s[4])/16 - 
       (1772989*s[5])/528 - (3840383*s[6])/528 - (597642613*s[7])/9504 + 
       (2966033*s[8])/792 + (321779*s[9])/6 + (701965*s[10])/36 + 
       (108194915*s[11])/1584 + (75767503*s[12])/1056 + 
       (406365983*s[13])/9504 + (44088595*s[14])/3168 + 
       (75258919*s[15])/864 + (517238773*s[16])/4752 + 
       (429929063*s[17])/4752 + (3617845*s[18])/324 + (14451839*s[19])/1296 + 
       (929265457*s[20])/7128 + (1399577945*s[21])/28512 - 
       (313601603*s[22])/9504 - (511188019*s[23])/9504 - 
       (76877633*s[24])/1056 + (21498089585*s[25])/256608 - 
       (12474123197*s[26])/256608 - 24*s[29] + (347*s[30])/12 - 
       (361*s[31])/6 + (100*s[32])/3 + (1409*s[33])/48 + (547*s[34])/12 - 
       (29*s[35])/2 + (563*s[36])/9 - (829*s[37])/18 - (5584*s[38])/3 + 
       (49245*s[39])/8 - (510829*s[40])/72 + (133775*s[41])/24 - 
       (574907*s[42])/72 - (5945123*s[43])/792 + (21063773*s[44])/3168 - 
       (7781245*s[45])/792 + (8679029*s[46])/132 - (814681*s[47])/9504 - 
       (45987061*s[48])/9504 + (313116691*s[49])/9504 - 
       (40476617*s[50])/792 - (49126337*s[51])/9504 - (40178681*s[52])/9504 + 
       (14262319*s[53])/396 + (578341*s[54])/264 + (743023543*s[55])/3168 + 
       (562741865*s[56])/9504 - (259957471*s[57])/14256 + 
       (7834936801*s[58])/85536 - (8164588207*s[59])/85536 - 
       (32163820837*s[60])/57024 + (22984135945*s[61])/769824 + 16*s[63] - 
       6*s[65] - 32*s[66] + 40*s[67] + (148*s[68])/3 - (2*s[69])/3 - 
       23*s[70] + (29*s[71])/2 + 39*s[72] + 213*s[73] - (143*s[74])/4 + 
       (143*s[75])/4 + (419*s[76])/3 + (83*s[77])/2 - (223*s[78])/3 - 
       (1543*s[79])/3 + (1556*s[80])/9 - 2736*s[82] - (45*s[83])/4 - 
       (417*s[84])/2 - 496*s[85])*\[Zeta][2] + HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*((-5969*s[2])/24 - (9583*s[3])/48 - 
       (121341*s[4])/32 - (59689*s[5])/16 - (284135*s[6])/32 - 
       (130190941*s[7])/1728 + (12891193*s[8])/2592 + (41269585*s[9])/648 + 
       (28795015*s[10])/1296 + (142428583*s[11])/1728 + (9485351*s[12])/108 + 
       (30321511*s[13])/576 + (24417859*s[14])/1728 + (59268887*s[15])/576 + 
       (9348589*s[16])/72 + (182465093*s[17])/1728 + (51668365*s[18])/3888 + 
       (102184981*s[19])/7776 + (1193825561*s[20])/7776 + 
       (888535513*s[21])/15552 - (612716597*s[22])/15552 - 
       (5170675*s[23])/72 - (167142499*s[24])/1944 + (3587506411*s[25])/
        34992 - (509759839*s[26])/8748 + 42*s[30] - (359*s[31])/6 + 
       (449*s[32])/12 + (1033*s[33])/48 + (182*s[34])/3 - (177*s[35])/4 + 
       (1007*s[36])/9 - (7619*s[37])/72 - (9643*s[38])/4 + 
       (135281*s[39])/16 - (1394681*s[40])/144 + (366913*s[41])/48 - 
       (1623037*s[42])/144 - (15463303*s[43])/1584 + (3563491*s[44])/396 - 
       (19995781*s[45])/1584 + (17052781*s[46])/198 - (2834753*s[47])/4752 - 
       (6755171*s[48])/1188 + (206490575*s[49])/4752 - (26464591*s[50])/396 - 
       (2148811*s[51])/297 - (27960853*s[52])/4752 + (224456065*s[53])/4752 + 
       (270602*s[54])/99 + (26937659*s[55])/88 + (122581601*s[56])/1584 - 
       (145340611*s[57])/4752 + (144668879*s[58])/1188 - 
       (37704349*s[59])/297 - (5221707521*s[60])/7128 + 
       (5005730485*s[61])/128304 - 5*s[65] - 12*s[66] + 28*s[67] + 58*s[68] - 
       54*s[69] - (51*s[70])/2 + 17*s[71] + (57*s[72])/2 + (395*s[73])/2 - 
       (205*s[74])/8 + (205*s[75])/8 + (255*s[76])/2 + (271*s[77])/4 - 
       150*s[78] - (1724*s[79])/3 + (6403*s[80])/36 - (8321*s[82])/3 - 
       (45*s[83])/4 - (363*s[84])/2 - (1426*s[85])/3)*\[Zeta][2] + 
     HPL[{0, 0, 0, 1, 1}, 1 - w]*(3325*s[2] - (1529*s[3])/2 + 
       (122523*s[4])/4 + (267732*s[5])/11 + (2430237*s[6])/44 + 
       (140031031*s[7])/264 - (39681815*s[8])/1188 - (12107938*s[9])/27 - 
       (8560369*s[10])/54 - (463680887*s[11])/792 - (123335767*s[12])/198 - 
       (299201105*s[13])/792 - (54761843*s[14])/792 - (53134747*s[15])/72 - 
       (182522033*s[16])/198 - (592995785*s[17])/792 - (6189350*s[18])/81 - 
       (37427143*s[19])/324 - (3748160419*s[20])/3564 - 
       (2724589709*s[21])/7128 + (1991648545*s[22])/7128 + 
       (98234371*s[23])/198 + (556347614*s[24])/891 - 
       (23693604571*s[25])/32076 + (12926833507*s[26])/32076 - 128*s[30] + 
       1052*s[31] - 604*s[32] + (657*s[33])/2 - 1868*s[34] + 298*s[35] - 
       (7940*s[36])/3 + (2534*s[37])/3 + 21120*s[38] - (134441*s[39])/2 + 
       (447115*s[40])/6 - (119775*s[41])/2 + (517703*s[42])/6 + 
       (5217593*s[43])/66 - (4673975*s[44])/66 + (2781386*s[45])/33 - 
       (13446393*s[46])/22 - (83219*s[47])/198 + (4381397*s[48])/99 - 
       (71870083*s[49])/198 + (16025566*s[50])/33 + (4971409*s[51])/99 + 
       (3914215*s[52])/99 - (3742663*s[53])/11 - (661734*s[54])/11 - 
       (71832856*s[55])/33 - (97418513*s[56])/198 + (106738895*s[57])/594 - 
       (1486800685*s[58])/1782 + (812869619*s[59])/891 + 
       (6316894945*s[60])/1188 - (7854184511*s[61])/32076 + 24*s[65] + 
       160*s[66] - 144*s[67] - 824*s[68] + 1128*s[69] + 80*s[70] - 96*s[71] - 
       324*s[72] - 3420*s[73] + 293*s[74] - 293*s[75] - 2108*s[76] - 
       974*s[77] + 1892*s[78] + 3600*s[79] + (868*s[80])/3 + 18680*s[82] + 
       216*s[83] - 48*s[84] - 464*s[85])*\[Zeta][2] + 
     HPL[{0, 0, 0, 1, 1}, 1 - v]*(3661*s[2] - (3647*s[3])/2 + 
       (109283*s[4])/4 + (329800*s[5])/11 + (2614985*s[6])/44 + 
       (450545959*s[7])/792 - (38144471*s[8])/1188 - (26224379*s[9])/54 - 
       (9549613*s[10])/54 - (493502633*s[11])/792 - (129447883*s[12])/198 - 
       (311040415*s[13])/792 - (78822041*s[14])/792 - (57624773*s[15])/72 - 
       (196561159*s[16])/198 - (217788601*s[17])/264 - (14234317*s[18])/162 - 
       (38545885*s[19])/324 - (4117823653*s[20])/3564 - 
       (3085373903*s[21])/7128 + (2141781091*s[22])/7128 + 
       (96686591*s[23])/198 + (597768341*s[24])/891 - 
       (6182747056*s[25])/8019 + (3500357653*s[26])/8019 + 168*s[29] - 
       194*s[30] + 992*s[31] - 688*s[32] + 40*s[33] - 1834*s[34] + 
       298*s[35] - (7940*s[36])/3 + (2534*s[37])/3 + 21120*s[38] - 
       (134441*s[39])/2 + (447115*s[40])/6 - (119775*s[41])/2 + 
       (517703*s[42])/6 + (5217593*s[43])/66 - (4673975*s[44])/66 + 
       (2781386*s[45])/33 - (13446393*s[46])/22 - (83219*s[47])/198 + 
       (4381397*s[48])/99 - (71870083*s[49])/198 + (16025566*s[50])/33 + 
       (4971409*s[51])/99 + (3914215*s[52])/99 - (3742663*s[53])/11 - 
       (661734*s[54])/11 - (71832856*s[55])/33 - (97418513*s[56])/198 + 
       (106738895*s[57])/594 - (1486800685*s[58])/1782 + 
       (812869619*s[59])/891 + (6316894945*s[60])/1188 - 
       (7854184511*s[61])/32076 + 24*s[65] + 160*s[66] - 144*s[67] - 
       824*s[68] + 1128*s[69] + 80*s[70] - 96*s[71] - 324*s[72] - 
       3420*s[73] + 293*s[74] - 293*s[75] - 2108*s[76] - 974*s[77] + 
       1892*s[78] + 3600*s[79] + (868*s[80])/3 + 18680*s[82] + 216*s[83] - 
       48*s[84] - 464*s[85])*\[Zeta][2] + HPL[{0, 0, 0, 1, 1}, 1 - u]*
      (3728*s[2] - 554*s[3] + (71033*s[4])/2 + (694615*s[5])/22 + 
       (757134*s[6])/11 + (129312313*s[7])/198 - (12558692*s[8])/297 - 
       (14943511*s[9])/27 - (10501297*s[10])/54 - (142528343*s[11])/198 - 
       (151761139*s[12])/198 - (45767615*s[13])/99 - (18425513*s[14])/198 - 
       (16235045*s[15])/18 - (111987995*s[16])/99 - (60529283*s[17])/66 - 
       (8184638*s[18])/81 - (10854085*s[19])/81 - (1162584475*s[20])/891 - 
       (426623095*s[21])/891 + (612995563*s[22])/1782 + (60693922*s[23])/99 + 
       (677531357*s[24])/891 - (7245569464*s[25])/8019 + 
       (4000027939*s[26])/8019 - 86*s[30] + 1084*s[31] - 794*s[32] + 
       (567*s[33])/2 - 1978*s[34] + 180*s[35] - (10024*s[36])/3 + 770*s[37] + 
       24804*s[38] - 83421*s[39] + (275503*s[40])/3 - 73265*s[41] + 
       (328925*s[42])/3 + (3045629*s[43])/33 - (2818433*s[44])/33 + 
       (1080495*s[45])/11 - (24021326*s[46])/33 + (607831*s[47])/99 + 
       (4407220*s[48])/99 - (42241717*s[49])/99 + (18967616*s[50])/33 + 
       (6531134*s[51])/99 + (5147984*s[52])/99 - (39729331*s[53])/99 - 
       (2017094*s[54])/33 - (28067236*s[55])/11 - (58240705*s[56])/99 + 
       (89298001*s[57])/297 - (907482338*s[58])/891 + (976304888*s[59])/891 + 
       (1858140593*s[60])/297 - (2359481912*s[61])/8019 + 192*s[63] - 
       704*s[68] + 1456*s[69] + 144*s[70] - 84*s[71] - 216*s[72] - 
       3672*s[73] + 178*s[74] - 178*s[75] - 2216*s[76] - 1172*s[77] + 
       2616*s[78] + 3440*s[79] + 292*s[80] + 18680*s[82] + 216*s[83] - 
       48*s[84] - 464*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*((-979*s[2])/12 - 202*s[3] - (27203*s[4])/8 - 
       (1510309*s[5])/528 - (2392729*s[6])/352 - (145646269*s[7])/2376 + 
       (4816909*s[8])/1056 + (14958689*s[9])/288 + (816731*s[10])/48 + 
       (426001163*s[11])/6336 + (153697991*s[12])/2112 + 
       (414045347*s[13])/9504 + (7312297*s[14])/792 + (17762467*s[15])/216 + 
       (247563743*s[16])/2376 + (1552551023*s[17])/19008 + 
       (29160389*s[18])/2592 + (24760069*s[19])/2592 + 
       (3526898173*s[20])/28512 + (1293145883*s[21])/28512 - 
       (102176597*s[22])/3168 - (1248882725*s[23])/19008 - 
       (1293713873*s[24])/19008 + (43458265465*s[25])/513216 - 
       (24244326727*s[26])/513216 + (7*s[30])/2 - (39*s[31])/2 + 
       (109*s[32])/12 - (271*s[33])/24 + (221*s[34])/6 + (71*s[35])/3 + 
       (1424*s[36])/9 - (8101*s[37])/72 - 2017*s[38] + (89869*s[39])/12 - 
       (303419*s[40])/36 + (53033*s[41])/8 - (751007*s[42])/72 - 
       (2940799*s[43])/396 + (5827727*s[44])/792 - (14967401*s[45])/1584 + 
       (35680453*s[46])/528 - (15974617*s[47])/9504 - (25175149*s[48])/9504 + 
       (317304061*s[49])/9504 - (82853605*s[50])/1584 - 
       (67550039*s[51])/9504 - (6845845*s[52])/1188 + (19245493*s[53])/528 + 
       (61587*s[54])/88 + (82551195*s[55])/352 + (578677763*s[56])/9504 - 
       (38197129*s[57])/891 + (8646852763*s[58])/85536 - 
       (8822026747*s[59])/85536 - (32169605869*s[60])/57024 + 
       (23312665993*s[61])/769824 - s[65] - 4*s[66] + 6*s[67] + 
       (44*s[68])/3 - (13*s[69])/3 - 16*s[70] + (39*s[71])/4 - 12*s[72] + 
       15*s[73] + (163*s[74])/12 - (163*s[75])/12 + (148*s[76])/3 + 
       (59*s[77])/3 - (91*s[78])/3 - (1511*s[79])/3 + (935*s[80])/36 - 
       (5146*s[82])/3 + (3*s[83])/2 - 297*s[84] - (1382*s[85])/3)*
      \[Zeta][2] + HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((-2183*s[2])/3 - (1435*s[3])/6 - (101737*s[4])/12 - (496957*s[5])/66 - 
       (2422813*s[6])/132 - (30804451*s[7])/198 + (1057718*s[8])/99 + 
       (4722763*s[9])/36 + (1598465*s[10])/36 + (11292421*s[11])/66 + 
       (24206137*s[12])/132 + (43863745*s[13])/396 + (818318*s[14])/33 + 
       (1899080*s[15])/9 + (105666523*s[16])/396 + (42471589*s[17])/198 + 
       (242897*s[18])/9 + (163199*s[19])/6 + (123276253*s[20])/396 + 
       (68725741*s[21])/594 - (96666095*s[22])/1188 - (31112335*s[23])/198 - 
       (208894073*s[24])/1188 + (2291706317*s[25])/10692 - 
       (321728081*s[26])/2673 + (122*s[30])/3 - (548*s[31])/3 + 
       (356*s[32])/3 + (65*s[33])/3 + (914*s[34])/3 - (40*s[35])/3 + 
       (1466*s[36])/3 - (446*s[37])/3 - 5462*s[38] + (117979*s[39])/6 - 
       (132239*s[40])/6 + (104153*s[41])/6 - (159521*s[42])/6 - 
       (1399645*s[43])/66 + (653261*s[44])/33 - (770923*s[45])/33 + 
       (11408833*s[46])/66 - (278440*s[47])/99 - (1875461*s[48])/198 + 
       (9338188*s[49])/99 - (4390028*s[50])/33 - (3300493*s[51])/198 - 
       (2747197*s[52])/198 + (18538327*s[53])/198 + (153916*s[54])/33 + 
       (118045265*s[55])/198 + (1640600*s[56])/11 - (2141197*s[57])/22 + 
       (149393209*s[58])/594 - (156418417*s[59])/594 - 
       (431190443*s[60])/297 + (198295351*s[61])/2673 + 144*s[68] - 
       288*s[69] - 40*s[70] + 36*s[71] + (80*s[72])/3 + 620*s[73] - 
       (116*s[74])/3 + (116*s[75])/3 + (1120*s[76])/3 + 244*s[77] - 
       (1496*s[78])/3 - 1108*s[79] + (904*s[80])/3 - 3380*s[82] - 11*s[83] - 
       26*s[84] - 432*s[85])*\[Zeta][2] + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w]*(36*s[2] - 202*s[3] - 665*s[4] - 
       (31081*s[5])/22 - (81849*s[6])/22 - (2282129*s[7])/99 + 
       (617401*s[8])/594 + (1060691*s[9])/54 + (410449*s[10])/54 + 
       (4856651*s[11])/198 + (2478638*s[12])/99 + (2943769*s[13])/198 + 
       (1786775*s[14])/198 + (573545*s[15])/18 + (7894129*s[16])/198 + 
       (385621*s[17])/11 + (823051*s[18])/162 + (246754*s[19])/81 + 
       (45070474*s[20])/891 + (18072943*s[21])/891 - (21030811*s[22])/1782 - 
       (1554610*s[23])/99 - (23668643*s[24])/891 + (918815083*s[25])/32076 - 
       (600966151*s[26])/32076 + 28*s[30] + 72*s[31] + 149*s[33] - 
       168*s[34] - 60*s[35] - (580*s[36])/3 + (379*s[37])/3 - 358*s[38] + 
       1337*s[39] - (5915*s[40])/3 + 1580*s[41] - (5320*s[42])/3 - 
       (80209*s[43])/33 + (64288*s[44])/33 - (236311*s[45])/66 + 
       (484017*s[46])/22 + (52165*s[47])/99 - (290210*s[48])/99 + 
       (872159*s[49])/99 - (538114*s[50])/33 - (139435*s[51])/99 - 
       (130879*s[52])/99 + (252387*s[53])/22 - (25515*s[54])/11 + 
       (2563687*s[55])/33 + (2281324*s[56])/99 - (483826*s[57])/297 + 
       (53942377*s[58])/1782 - (26457086*s[59])/891 - 
       (222396259*s[60])/1188 + (376634039*s[61])/32076 - 4*s[65] - 
       16*s[66] + 24*s[67] + 16*s[68] + 16*s[69] - 28*s[70] + 20*s[71] + 
       24*s[72] - 24*s[73] - 30*s[74] + 30*s[75] - 96*s[76] + 52*s[77] + 
       112*s[78] - 352*s[79] + (986*s[80])/3 - 416*s[82] + 6*s[83] - 
       108*s[84] - 400*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - v]*(-8*s[2] - 304*s[3] - 943*s[4] - 
       (6538*s[5])/11 - (30674*s[6])/11 - (585304*s[7])/33 + 
       (361877*s[8])/297 + (392623*s[9])/27 + (140897*s[10])/27 + 
       (1921489*s[11])/99 + (4179343*s[12])/198 + (2567321*s[13])/198 + 
       (866981*s[14])/198 + (203219*s[15])/9 + (5881133*s[16])/198 + 
       (2319223*s[17])/99 + (289334*s[18])/81 + (201640*s[19])/81 + 
       (32259976*s[20])/891 + (23608169*s[21])/1782 - (16040239*s[22])/1782 - 
       (1648943*s[23])/99 - (17844806*s[24])/891 + (194043043*s[25])/8019 - 
       (111649393*s[26])/8019 - 8*s[30] + 20*s[31] - 12*s[32] + 61*s[33] - 
       96*s[34] - 60*s[35] - (580*s[36])/3 + (379*s[37])/3 - 358*s[38] + 
       1337*s[39] - (5915*s[40])/3 + 1580*s[41] - (5320*s[42])/3 - 
       (80209*s[43])/33 + (64288*s[44])/33 - (236311*s[45])/66 + 
       (484017*s[46])/22 + (52165*s[47])/99 - (290210*s[48])/99 + 
       (872159*s[49])/99 - (538114*s[50])/33 - (139435*s[51])/99 - 
       (130879*s[52])/99 + (252387*s[53])/22 - (25515*s[54])/11 + 
       (2563687*s[55])/33 + (2281324*s[56])/99 - (483826*s[57])/297 + 
       (53942377*s[58])/1782 - (26457086*s[59])/891 - 
       (222396259*s[60])/1188 + (376634039*s[61])/32076 - 4*s[65] - 
       16*s[66] + 24*s[67] + 16*s[68] + 16*s[69] - 28*s[70] + 20*s[71] + 
       24*s[72] - 24*s[73] - 30*s[74] + 30*s[75] - 96*s[76] + 52*s[77] + 
       112*s[78] - 352*s[79] + (986*s[80])/3 - 416*s[82] + 6*s[83] - 
       108*s[84] - 400*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*((-1084*s[2])/3 - (1693*s[3])/12 - 
       (294815*s[4])/48 - (938093*s[5])/176 - (2158555*s[6])/176 - 
       (66680579*s[7])/594 + (114603449*s[8])/14256 + (122999767*s[9])/1296 + 
       (42115403*s[10])/1296 + (1165542383*s[11])/9504 + 
       (1246432153*s[12])/9504 + (61920031*s[13])/792 + 
       (84692389*s[14])/4752 + (1388072*s[15])/9 + (102066299*s[16])/528 + 
       (1481516557*s[17])/9504 + (74475215*s[18])/3888 + 
       (77629885*s[19])/3888 + (4849031867*s[20])/21384 + 
       (1772839913*s[21])/21384 - (629925689*s[22])/10692 - 
       (356834345*s[23])/3168 - (10889310919*s[24])/85536 + 
       (118577069753*s[25])/769824 - (66014533733*s[26])/769824 + 
       (35*s[30])/12 - (581*s[31])/6 + (659*s[32])/12 - (1051*s[33])/48 + 
       (1763*s[34])/12 + (71*s[35])/6 + (2899*s[36])/9 - (5593*s[37])/36 - 
       (7245*s[38])/2 + (334733*s[39])/24 - (1128743*s[40])/72 + 
       (100821*s[41])/8 - (1394023*s[42])/72 - (11284723*s[43])/792 + 
       (22469105*s[44])/1584 - (13221941*s[45])/792 + (8202241*s[46])/66 - 
       (714157*s[47])/297 - (13604777*s[48])/2376 + (156787991*s[49])/2376 - 
       (77299231*s[50])/792 - (15003569*s[51])/1188 - (45558059*s[52])/4752 + 
       (6786004*s[53])/99 + (566939*s[54])/132 + (345674855*s[55])/792 + 
       (254977375*s[56])/2376 - (55787315*s[57])/891 + 
       (3815208209*s[58])/21384 - (3999448613*s[59])/21384 - 
       (7474423525*s[60])/7128 + (20596498639*s[61])/384912 + 72*s[68] - 
       136*s[69] - 25*s[70] + (25*s[71])/2 - (53*s[72])/3 + (860*s[73])/3 + 
       (83*s[74])/4 - (83*s[75])/4 + (581*s[76])/3 + (707*s[77])/6 - 
       (689*s[78])/3 - (3080*s[79])/3 + (3869*s[80])/18 - 3029*s[82] - 
       14*s[83] - 272*s[84] - 384*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((627*s[2])/2 - (275*s[3])/12 + (17581*s[4])/8 + (217007*s[5])/132 + 
       (344695*s[6])/88 + (18761855*s[7])/528 - (14995415*s[8])/7128 - 
       (9746015*s[9])/324 - (822160*s[10])/81 - (188827751*s[11])/4752 - 
       (101102201*s[12])/2376 - (124043195*s[13])/4752 - 
       (20591981*s[14])/4752 - (21202033*s[15])/432 - (18366518*s[16])/297 - 
       (235596257*s[17])/4752 - (4871353*s[18])/972 - (15029035*s[19])/1944 - 
       (1497347857*s[20])/21384 - (1080517415*s[21])/42768 + 
       (804966643*s[22])/42768 + (81851303*s[23])/2376 + 
       (891269549*s[24])/21384 - (4844995607*s[25])/96228 + 
       (2607647213*s[26])/96228 + (13*s[30])/3 + 106*s[31] - (202*s[32])/3 + 
       (475*s[33])/6 - (625*s[34])/3 + (145*s[35])/3 - 202*s[36] + 
       (3157*s[37])/18 + (2780*s[38])/3 - (11039*s[39])/4 + (11615*s[40])/4 - 
       (25817*s[41])/12 + (13945*s[42])/4 + (375103*s[43])/132 - 
       (58457*s[44])/22 + (903191*s[45])/396 - (1816283*s[46])/99 + 
       (46009*s[47])/198 + (367205*s[48])/396 - (1320269*s[49])/99 + 
       (459554*s[50])/33 + (710117*s[51])/396 + (606187*s[52])/396 - 
       (5766749*s[53])/594 - (264371*s[54])/99 - (24089303*s[55])/396 - 
       (7771735*s[56])/594 + (57399083*s[57])/3564 - (293626177*s[58])/
        10692 + (328035841*s[59])/10692 + (41237033*s[60])/264 - 
       (555490399*s[61])/96228 - s[65] + 2*s[66] - 40*s[68] + 86*s[69] - 
       16*s[70] + 7*s[71] - 22*s[72] - 272*s[73] + (43*s[74])/6 - 
       (43*s[75])/6 - 178*s[76] - (137*s[77])/3 + (500*s[78])/3 + 
       (326*s[79])/3 + (967*s[80])/9 + 638*s[82] + (93*s[83])/2 - 3*s[84] - 
       384*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*
      (255*s[2] - (523*s[3])/2 + (8665*s[4])/4 + (17059*s[5])/11 + 
       (70487*s[6])/44 + (3182275*s[7])/88 - (985091*s[8])/396 - 
       (277618*s[9])/9 - (222247*s[10])/18 - (10395263*s[11])/264 - 
       (2690539*s[12])/66 - (6306833*s[13])/264 - (521063*s[14])/264 - 
       (1326407*s[15])/24 - (4330217*s[16])/66 - (14567033*s[17])/264 - 
       (138295*s[18])/54 - (1262281*s[19])/108 - (86308225*s[20])/1188 - 
       (57422789*s[21])/2376 + (46288249*s[22])/2376 + (839357*s[23])/33 + 
       (14062442*s[24])/297 - (541399429*s[25])/10692 + 
       (271232065*s[26])/10692 + 68*s[31] - 60*s[32] + (165*s[33])/2 - 
       188*s[34] - 146*s[35] - (1402*s[36])/3 + 107*s[37] + 1300*s[38] - 
       4576*s[39] + (13930*s[40])/3 - 4134*s[41] + (18293*s[42])/3 + 
       (147416*s[43])/33 - (157880*s[44])/33 + (83595*s[45])/22 - 
       (2249107*s[46])/66 + (42899*s[47])/198 + (198263*s[48])/198 - 
       (5009771*s[49])/198 + (1026794*s[50])/33 + (660601*s[51])/198 + 
       (150086*s[52])/99 - (2125876*s[53])/99 - (356606*s[54])/33 - 
       (8690911*s[55])/66 - (3645767*s[56])/198 - (1507700*s[57])/297 - 
       (70649347*s[58])/1782 + (88442635*s[59])/1782 + 
       (188134603*s[60])/594 - (151305133*s[61])/16038 - 52*s[68] + 
       104*s[69] + 8*s[70] + 24*s[71] + 12*s[72] - 156*s[73] - 35*s[74] + 
       35*s[75] - 88*s[76] - 54*s[77] + 92*s[78] - 80*s[79] + 394*s[80] + 
       1816*s[82] - 3*s[83] + 42*s[84] - 376*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      ((-253*s[2])/4 - (3347*s[3])/24 - (38777*s[4])/16 - (553075*s[5])/264 - 
       (874143*s[6])/176 - (141760781*s[7])/3168 + (48240937*s[8])/14256 + 
       (24502075*s[9])/648 + (8252435*s[10])/648 + (463666015*s[11])/9504 + 
       (249438001*s[12])/4752 + (296201515*s[13])/9504 + 
       (70751641*s[14])/9504 + (52593821*s[15])/864 + 
       (182144095*s[16])/2376 + (580785301*s[17])/9504 + 
       (1971520*s[18])/243 + (28008539*s[19])/3888 + (3893284409*s[20])/
        42768 + (2840149483*s[21])/85536 - (2007790583*s[22])/85536 - 
       (220492885*s[23])/4752 - (2144193043*s[24])/42768 + 
       (23596370291*s[25])/384912 - (13191628763*s[26])/384912 - 
       (10*s[30])/3 - 16*s[31] + (35*s[32])/6 - (109*s[33])/24 + s[34]/3 + 
       (17*s[35])/3 + (559*s[36])/6 - (467*s[37])/9 - (8029*s[38])/6 + 
       (43587*s[39])/8 - (148645*s[40])/24 + (118699*s[41])/24 - 
       (185975*s[42])/24 - (1393351*s[43])/264 + (2909437*s[44])/528 - 
       (2648147*s[45])/396 + (39077869*s[46])/792 - (2013193*s[47])/1584 - 
       (3012895*s[48])/1584 + (38711779*s[49])/1584 - (1696553*s[50])/44 - 
       (2782777*s[51])/528 - (6366215*s[52])/1584 + (16011605*s[53])/594 + 
       (31904*s[54])/99 + (273417059*s[55])/1584 + (210809219*s[56])/4752 - 
       (101774021*s[57])/3564 + (3103087225*s[58])/42768 - 
       (3179930899*s[59])/42768 - (3922556069*s[60])/9504 + 
       (8526640555*s[61])/384912 + 4*s[68] - 8*s[69] - 6*s[70] + 2*s[71] - 
       20*s[72] + 25*s[73] + (58*s[74])/3 - (58*s[75])/3 + 24*s[76] + 
       (50*s[77])/3 - (89*s[78])/3 - (1406*s[79])/3 + (1112*s[80])/9 - 
       1726*s[82] - 232*s[84] - 368*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((-1147*s[2])/4 - (1733*s[3])/8 - (31833*s[4])/8 - (65145*s[5])/16 - 
       (39037*s[6])/4 - (22818125*s[7])/288 + (377309*s[8])/72 + 
       (9664423*s[9])/144 + (3240851*s[10])/144 + (696495*s[11])/8 + 
       (8955983*s[12])/96 + (16185271*s[13])/288 + (473703*s[14])/32 + 
       (30741025*s[15])/288 + (9771511*s[16])/72 + (3933193*s[17])/36 + 
       (700469*s[18])/48 + (911929*s[19])/72 + (7706803*s[20])/48 + 
       (52296461*s[21])/864 - (35825609*s[22])/864 - (22989509*s[23])/288 - 
       (76435427*s[24])/864 + (841031609*s[25])/7776 - 
       (481326233*s[26])/7776 + (67*s[30])/4 - (175*s[31])/2 + (81*s[32])/2 + 
       (191*s[33])/16 + (495*s[34])/4 - (133*s[35])/2 + (2329*s[36])/12 - 
       (362*s[37])/3 - (5527*s[38])/2 + (154581*s[39])/16 - 
       (526747*s[40])/48 + (135621*s[41])/16 - (618203*s[42])/48 - 
       (5730557*s[43])/528 + (10577311*s[44])/1056 - (3515935*s[45])/264 + 
       (48933949*s[46])/528 - (3091973*s[47])/3168 - (18513335*s[48])/3168 + 
       (152200019*s[49])/3168 - (18740521*s[50])/264 - 
       (25597339*s[51])/3168 - (21571717*s[52])/3168 + 
       (79342403*s[53])/1584 + (77476*s[54])/33 + (341510993*s[55])/1056 + 
       (87973003*s[56])/1056 - (12030661*s[57])/264 + 
       (1278002977*s[58])/9504 - (1327505323*s[59])/9504 - 
       (14848001561*s[60])/19008 + (3557987567*s[61])/85536 - 2*s[65] - 
       12*s[66] + 12*s[67] + 66*s[68] - 98*s[69] - (43*s[70])/2 + 
       (31*s[71])/2 + 29*s[72] + 337*s[73] - 35*s[74] + 35*s[75] + 
       217*s[76] + (207*s[77])/2 - (441*s[78])/2 - 601*s[79] + 
       (1483*s[80])/6 - (5833*s[82])/2 - (45*s[83])/2 - 105*s[84] - 
       366*s[85])*\[Zeta][2] + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((-7885*s[2])/24 - (13855*s[3])/48 - (173661*s[4])/32 - 
       (635713*s[5])/132 - (11674279*s[6])/1056 - (1910343979*s[7])/19008 + 
       (201542603*s[8])/28512 + (55022449*s[9])/648 + (18837869*s[10])/648 + 
       (2097162323*s[11])/19008 + (1124242067*s[12])/9504 + 
       (1352834083*s[13])/19008 + (292967069*s[14])/19008 + 
       (237248813*s[15])/1728 + (821535415*s[16])/4752 + 
       (877807615*s[17])/6336 + (32904431*s[18])/1944 + 
       (141864229*s[19])/7776 + (17311271683*s[20])/85536 + 
       (12708260591*s[21])/171072 - (9027303847*s[22])/171072 - 
       (950191471*s[23])/9504 - (9822240155*s[24])/85536 + 
       (26691494113*s[25])/192456 - (14849583319*s[26])/192456 + 
       (74*s[30])/3 - (181*s[31])/2 + (187*s[32])/4 - (445*s[33])/16 + 
       147*s[34] + (11*s[35])/4 + (6413*s[36])/18 - (8357*s[37])/24 - 
       (40855*s[38])/12 + (192583*s[39])/16 - (1927687*s[40])/144 + 
       (499511*s[41])/48 - (2352503*s[42])/144 - (19627937*s[43])/1584 + 
       (37831969*s[44])/3168 - (7613161*s[45])/528 + (41647307*s[46])/396 - 
       (20732435*s[47])/9504 - (44240909*s[48])/9504 + 
       (537476153*s[49])/9504 - (64852303*s[50])/792 - 
       (99153145*s[51])/9504 - (80438311*s[52])/9504 + 
       (271800649*s[53])/4752 + (3317971*s[54])/792 + 
       (1159836355*s[55])/3168 + (858696935*s[56])/9504 - 
       (212907763*s[57])/3564 + (13167779293*s[58])/85536 - 
       (13767199183*s[59])/85536 - (50699635469*s[60])/57024 + 
       (34604150473*s[61])/769824 + s[65] - 4*s[66] - 4*s[67] + 
       (94*s[68])/3 - (266*s[69])/3 - (63*s[70])/2 - s[71] + s[72]/2 + 
       (485*s[73])/2 - (29*s[74])/8 + (29*s[75])/8 + (925*s[76])/6 + 
       (319*s[77])/4 - (379*s[78])/3 - 674*s[79] + (1273*s[80])/12 - 
       (9326*s[82])/3 - (45*s[83])/4 - (399*s[84])/2 - (1054*s[85])/3)*
      \[Zeta][2] + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((-1399*s[2])/6 + (95*s[3])/6 - (42433*s[4])/16 - (463743*s[5])/176 - 
       (934221*s[6])/176 - (125433167*s[7])/2376 + (46916429*s[8])/14256 + 
       (58316101*s[9])/1296 + (20952299*s[10])/1296 + 
       (549079769*s[11])/9504 + (581044621*s[12])/9504 + 
       (57921475*s[13])/1584 + (10242091*s[14])/1188 + (5300969*s[15])/72 + 
       (145026815*s[16])/1584 + (711181327*s[17])/9504 + 
       (15901843*s[18])/1944 + (5273201*s[19])/486 + (1148364781*s[20])/
        10692 + (419913277*s[21])/10692 - (1192824647*s[22])/42768 - 
       (146959783*s[23])/3168 - (5326872025*s[24])/85536 + 
       (55525372367*s[25])/769824 - (30881020001*s[26])/769824 - 12*s[29] + 
       (37*s[30])/4 - (325*s[31])/6 + (94*s[32])/3 - (1051*s[33])/48 + 
       (1111*s[34])/12 + (51*s[35])/2 + (1543*s[36])/9 - (1399*s[37])/18 - 
       1848*s[38] + (48045*s[39])/8 - (487709*s[40])/72 + (130255*s[41])/24 - 
       (556507*s[42])/72 - (5703763*s[43])/792 + (20655853*s[44])/3168 - 
       (7081345*s[45])/792 + (24316717*s[46])/396 + (497479*s[47])/9504 - 
       (41264021*s[48])/9504 + (314769971*s[49])/9504 - 
       (38909737*s[50])/792 - (45882337*s[51])/9504 - (34500361*s[52])/9504 + 
       (40842587*s[53])/1188 + (4077023*s[54])/792 + (78296607*s[55])/352 + 
       (163770275*s[56])/3168 - (51265157*s[57])/4752 + 
       (787684009*s[58])/9504 - (281045981*s[59])/3168 - 
       (30604880117*s[60])/57024 + (6711388315*s[61])/256608 + 16*s[63] - 
       6*s[65] - 32*s[66] + 40*s[67] + 56*s[68] - 14*s[69] - 23*s[70] + 
       (9*s[71])/2 + 39*s[72] + 213*s[73] - (103*s[74])/4 + (103*s[75])/4 + 
       133*s[76] + (83*s[77])/2 - 61*s[78] - (1183*s[79])/3 + (266*s[80])/9 - 
       (8788*s[82])/3 - (45*s[83])/4 - (417*s[84])/2 - (968*s[85])/3)*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      (-205*s[2] + 27*s[3] - (769*s[4])/2 - (166431*s[5])/88 - 
       (711197*s[6])/176 - (41806613*s[7])/1584 + (506663*s[8])/528 + 
       (1099691*s[9])/48 + (205441*s[10])/24 + (29847799*s[11])/1056 + 
       (10125843*s[12])/352 + (1701481*s[13])/99 + (2678431*s[14])/264 + 
       (5162963*s[15])/144 + (36052733*s[16])/792 + (126288805*s[17])/3168 + 
       (167053*s[18])/27 + (596677*s[19])/216 + (136857667*s[20])/2376 + 
       (113344651*s[21])/4752 - (21851315*s[22])/1584 - 
       (61292461*s[23])/3168 - (92020307*s[24])/3168 + 
       (2777284703*s[25])/85536 - (1832428469*s[26])/85536 - 26*s[29] + 
       26*s[30] - 70*s[31] + 23*s[32] + (15*s[33])/2 + 46*s[34] - 62*s[35] - 
       (178*s[36])/3 + (413*s[37])/12 - 588*s[38] + (3847*s[39])/2 - 
       (14665*s[40])/6 + (3595*s[41])/2 - (29107*s[42])/12 - 
       (374215*s[43])/132 + (1232749*s[44])/528 - (563851*s[45])/132 + 
       (1710403*s[46])/66 + (115021*s[47])/396 - (269441*s[48])/99 + 
       (17500115*s[49])/1584 - (4972475*s[50])/264 - (2536861*s[51])/1584 - 
       (2520301*s[52])/1584 + (10745945*s[53])/792 - (338585*s[54])/264 + 
       (11964283*s[55])/132 + (14124881*s[56])/528 - (3431533*s[57])/396 + 
       (59188073*s[58])/1584 - (58877539*s[59])/1584 - 
       (2055541907*s[60])/9504 + (573126535*s[61])/42768 - 5*s[65] - 
       22*s[66] + 24*s[67] + 34*s[68] + 12*s[69] - 12*s[70] + 17*s[71] + 
       28*s[72] + 92*s[73] - 32*s[74] + 32*s[75] + 94*s[76] + 42*s[77] - 
       60*s[78] - 248*s[79] + (442*s[80])/3 - (1595*s[82])/2 - (15*s[83])/2 - 
       39*s[84] - 316*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]^2*((-277*s[2])/6 - (1109*s[3])/12 - 
       (71873*s[4])/24 - (310931*s[5])/132 - (1575193*s[6])/264 - 
       (244249531*s[7])/4752 + (9841459*s[8])/2376 + (4691923*s[9])/108 + 
       (1468169*s[10])/108 + (89010695*s[11])/1584 + (12107173*s[12])/198 + 
       (174110591*s[13])/4752 + (11916911*s[14])/1584 + 
       (29520373*s[15])/432 + (102925019*s[16])/1188 + 
       (320160547*s[17])/4752 + (3234247*s[18])/324 + (4467337*s[19])/648 + 
       (733223677*s[20])/7128 + (180374791*s[21])/4752 - 
       (384459113*s[22])/14256 - (70992973*s[23])/1188 - 
       (197014691*s[24])/3564 + (168644413*s[25])/2376 - 
       (10511767*s[26])/264 - (25*s[30])/3 - (43*s[31])/3 + (31*s[32])/3 + 
       23*s[33] + (29*s[34])/3 + 32*s[35] + (1699*s[36])/18 - 
       (3907*s[37])/36 - (9599*s[38])/6 + (52499*s[39])/8 - 
       (534199*s[40])/72 + (140687*s[41])/24 - (684641*s[42])/72 - 
       (4749293*s[43])/792 + (9726199*s[44])/1584 - (5816543*s[45])/792 + 
       (5471861*s[46])/99 - (10038323*s[47])/4752 - (5909957*s[48])/4752 + 
       (124377929*s[49])/4752 - (4148053*s[50])/99 - (31375369*s[51])/4752 - 
       (26111005*s[52])/4752 + (69747281*s[53])/2376 - (235618*s[54])/99 + 
       (99030773*s[55])/528 + (27308695*s[56])/528 - (57320081*s[57])/1188 + 
       (1233919481*s[58])/14256 - (1238800457*s[59])/14256 - 
       (12783760901*s[60])/28512 + (269299577*s[61])/10692 + 8*s[66] - 
       6*s[67] + 2*s[68] - 10*s[69] + (25*s[71])/2 - 30*s[72] - 
       (101*s[73])/3 + 27*s[74] - 27*s[75] + 12*s[76] + (14*s[77])/3 - 
       (119*s[78])/3 - 596*s[79] + (2045*s[80])/18 - 322*s[82] + 8*s[83] - 
       288*s[84] - 312*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*(-104*s[2] - (367*s[3])/4 - (211109*s[4])/48 - 
       (1705589*s[5])/528 - (4565845*s[6])/528 - (684216743*s[7])/9504 + 
       (1128443*s[8])/198 + (2187757*s[9])/36 + (661411*s[10])/36 + 
       (31413511*s[11])/396 + (92036423*s[12])/1056 + 
       (499922233*s[13])/9504 + (31651397*s[14])/3168 + 
       (81011621*s[15])/864 + (571233785*s[16])/4752 + 
       (108999193*s[17])/1188 + (4543337*s[18])/324 + (12185785*s[19])/1296 + 
       (253900601*s[20])/1782 + (1486294855*s[21])/28512 - 
       (359046029*s[22])/9504 - (818757563*s[23])/9504 - 
       (730136785*s[24])/9504 + (25842435109*s[25])/256608 - 
       (14308835209*s[26])/256608 - (31*s[30])/4 - (229*s[31])/6 + 9*s[32] + 
       (1957*s[33])/48 + (355*s[34])/12 + (19*s[35])/6 + (262*s[36])/3 - 
       (1948*s[37])/9 - 2606*s[38] + (244531*s[39])/24 - (92929*s[40])/8 + 
       (216491*s[41])/24 - (115947*s[42])/8 - (2530933*s[43])/264 + 
       (3427001*s[44])/352 - (8817983*s[45])/792 + (8386603*s[46])/99 - 
       (9220159*s[47])/3168 - (8812675*s[48])/3168 + (132426325*s[49])/3168 - 
       (5613801*s[50])/88 - (10596029*s[51])/1056 - (26588495*s[52])/3168 + 
       (52761893*s[53])/1188 - (3135949*s[54])/792 + (99703419*s[55])/352 + 
       (744876701*s[56])/9504 - (1056684571*s[57])/14256 + 
       (11281152133*s[58])/85536 - (11311833259*s[59])/85536 - 
       (13124077787*s[60])/19008 + (29214462301*s[61])/769824 - 8*s[66] + 
       8*s[67] + (58*s[68])/3 - (44*s[69])/3 - 9*s[70] + (33*s[71])/2 - 
       (37*s[72])/3 + (305*s[73])/3 + (289*s[74])/12 - (289*s[75])/12 + 
       93*s[76] + (191*s[77])/6 - (187*s[78])/3 - (3439*s[79])/3 + 
       (3727*s[80])/9 - 196*s[82] - (115*s[83])/4 - (847*s[84])/2 - 
       308*s[85])*\[Zeta][2] + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((-6997*s[2])/24 - (1059*s[3])/16 - (114281*s[4])/32 - 
       (98417*s[5])/24 - (777127*s[6])/96 - (133345103*s[7])/1728 + 
       (4164737*s[8])/864 + (1777030*s[9])/27 + (1289401*s[10])/54 + 
       (48300379*s[11])/576 + (6344345*s[12])/72 + (90218299*s[13])/1728 + 
       (8529211*s[14])/576 + (187378399*s[15])/1728 + (3628231*s[16])/27 + 
       (192566387*s[17])/1728 + (16768771*s[18])/1296 + 
       (38295997*s[19])/2592 + (412879565*s[20])/2592 + 
       (102721687*s[21])/1728 - (210648085*s[22])/5184 - 
       (29240921*s[23])/432 - (116452267*s[24])/1296 + 
       (201375643*s[25])/1944 - (230081651*s[26])/3888 - 14*s[29] + 
       (319*s[30])/12 - (181*s[31])/3 + (131*s[32])/3 + (22*s[33])/3 + 
       (1277*s[34])/12 - (17*s[35])/4 + (1987*s[36])/9 - (9899*s[37])/72 - 
       (28769*s[38])/12 + (132881*s[39])/16 - (1348441*s[40])/144 + 
       (359873*s[41])/48 - (1586237*s[42])/144 - (14980583*s[43])/1584 + 
       (3512501*s[44])/396 - (18595981*s[45])/1584 + (2698766*s[46])/33 - 
       (2178673*s[47])/4752 - (6164791*s[48])/1188 + (207317215*s[49])/4752 - 
       (25681151*s[50])/396 - (2047436*s[51])/297 - (25121693*s[52])/4752 + 
       (72226195*s[53])/1584 + (187784*s[54])/33 + (232850411*s[55])/792 + 
       (332029283*s[56])/4752 - (329859833*s[57])/14256 + 
       (1208797321*s[58])/10692 - (321328306*s[59])/2673 - 
       (5026839931*s[60])/7128 + (13592205955*s[61])/384912 - 5*s[65] - 
       12*s[66] + 28*s[67] + (194*s[68])/3 - (202*s[69])/3 - (51*s[70])/2 + 
       7*s[71] + (57*s[72])/2 + (395*s[73])/2 - (125*s[74])/8 + 
       (125*s[75])/8 + (725*s[76])/6 + (271*s[77])/4 - (410*s[78])/3 - 
       (1364*s[79])/3 + (1243*s[80])/36 - 2967*s[82] - (45*s[83])/4 - 
       (363*s[84])/2 - 302*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*(179*s[2] - 120*s[3] + 
       (3373*s[4])/4 + (82397*s[5])/88 + (241603*s[6])/176 + 
       (2753887*s[7])/176 - (1139443*s[8])/1584 - (1947095*s[9])/144 - 
       (340745*s[10])/72 - (18443413*s[11])/1056 - (19293899*s[12])/1056 - 
       (1473155*s[13])/132 - (404779*s[14])/264 - (1077863*s[15])/48 - 
       (7275841*s[16])/264 - (24143413*s[17])/1056 - (108971*s[18])/54 - 
       (840313*s[19])/216 - (72728311*s[20])/2376 - (55437869*s[21])/4752 + 
       (39820207*s[22])/4752 + (14972765*s[23])/1056 + 
       (176715875*s[24])/9504 - (1864697833*s[25])/85536 + 
       (1029605851*s[26])/85536 + 11*s[30] + 66*s[31] - 41*s[32] + 
       (109*s[33])/4 - 147*s[34] + 4*s[35] - (668*s[36])/3 + 
       (1631*s[37])/12 + 882*s[38] - (4921*s[39])/2 + (15115*s[40])/6 - 
       (4021*s[41])/2 + (35251*s[42])/12 + (384025*s[43])/132 - 
       (1292035*s[44])/528 + (89060*s[45])/33 - (870129*s[46])/44 - 
       (10900*s[47])/99 + (536375*s[48])/396 - (21838337*s[49])/1584 + 
       (4201037*s[50])/264 + (2214991*s[51])/1584 + (1814155*s[52])/1584 - 
       (2991955*s[53])/264 - (349035*s[54])/88 - (2349712*s[55])/33 - 
       (21711505*s[56])/1584 + (5481631*s[57])/1188 - 
       (372518327*s[58])/14256 + (435319481*s[59])/14256 + 
       (1663362797*s[60])/9504 - (866386241*s[61])/128304 - 46*s[68] + 
       92*s[69] - 10*s[70] - 2*s[71] - 20*s[72] - 204*s[73] + 17*s[74] - 
       17*s[75] - 132*s[76] - 38*s[77] + 146*s[78] - 84*s[79] + 
       (445*s[80])/3 - 4*s[82] + (3*s[83])/2 - 117*s[84] - 292*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*((-862*s[2])/3 - (945*s[3])/8 - (288019*s[4])/48 - 
       (111355*s[5])/22 - (1577759*s[6])/132 - (337852261*s[7])/3168 + 
       (28566953*s[8])/3564 + (116711665*s[9])/1296 + (9701807*s[10])/324 + 
       (553482961*s[11])/4752 + (1189107571*s[12])/9504 + 
       (709983173*s[13])/9504 + (155615861*s[14])/9504 + 
       (125745853*s[15])/864 + (867831775*s[16])/4752 + 
       (347230925*s[17])/2376 + (9175525*s[18])/486 + (68372509*s[19])/3888 + 
       (4583948705*s[20])/21384 + (6738446519*s[21])/85536 - 
       (4781713921*s[22])/85536 - (1072837291*s[23])/9504 - 
       (10183349893*s[24])/85536 + (112814022467*s[25])/769824 - 
       (63007330547*s[26])/769824 + (17*s[30])/6 - (238*s[31])/3 + 45*s[32] + 
       (121*s[33])/6 + (607*s[34])/6 + 35*s[35] + (4925*s[36])/18 - 
       (9449*s[37])/36 - (6473*s[38])/2 + (307445*s[39])/24 - 
       (1031951*s[40])/72 + (273625*s[41])/24 - (1302829*s[42])/72 - 
       (9708007*s[43])/792 + (9762781*s[44])/792 - (5593601*s[45])/396 + 
       (85389059*s[46])/792 - (15226147*s[47])/4752 - (15124441*s[48])/4752 + 
       (133153463*s[49])/2376 - (66296221*s[50])/792 - (3536957*s[51])/297 - 
       (5588065*s[52])/594 + (17514416*s[53])/297 + (672953*s[54])/792 + 
       (592025185*s[55])/1584 + (9400642*s[56])/99 - (86878061*s[57])/1188 + 
       (381489641*s[58])/2376 - (396065431*s[59])/2376 - 
       (6377419909*s[60])/7128 + (2993752351*s[61])/64152 + 46*s[68] - 
       92*s[69] + 4*s[70] + 6*s[71] - 26*s[72] + 216*s[73] + (283*s[74])/12 - 
       (283*s[75])/12 + 162*s[76] + (197*s[77])/3 - (566*s[78])/3 - 
       1048*s[79] + (2474*s[80])/9 - (3657*s[82])/2 + (9*s[83])/2 - 
       279*s[84] - 254*s[85])*\[Zeta][2] + HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*((-1771*s[2])/3 + (209*s[3])/3 - (37819*s[4])/6 - 
       (882697*s[5])/132 - (984089*s[6])/66 - (152565899*s[7])/1188 + 
       (1514201*s[8])/198 + (654589*s[9])/6 + (1417309*s[10])/36 + 
       (111072811*s[11])/792 + (38882417*s[12])/264 + 
       (105116929*s[13])/1188 + (9810113*s[14])/396 + (9688129*s[15])/54 + 
       (265037491*s[16])/1188 + (441799957*s[17])/2376 + 
       (6781459*s[18])/324 + (2045312*s[19])/81 + (232820792*s[20])/891 + 
       (349857433*s[21])/3564 - (19974004*s[22])/297 - 
       (268021225*s[23])/2376 - (118753655*s[24])/792 + 
       (1390573402*s[25])/8019 - (3181437937*s[26])/32076 - 2*s[29] + 
       (88*s[30])/3 - (404*s[31])/3 + (362*s[32])/3 + (375*s[33])/2 + 
       (490*s[34])/3 - 78*s[35] + (3487*s[36])/9 - (515*s[37])/9 - 
       (13109*s[38])/3 + (58821*s[39])/4 - (599617*s[40])/36 + 
       (160829*s[41])/12 - (692447*s[42])/36 - (6928979*s[43])/396 + 
       (6210821*s[44])/396 - (1882751*s[45])/99 + (54651217*s[46])/396 - 
       (36313*s[47])/1188 - (3092623*s[48])/297 + (92765107*s[49])/1188 - 
       (10689317*s[50])/99 - (3441440*s[51])/297 - (5534569*s[52])/594 + 
       (90379511*s[53])/1188 + (748102*s[54])/99 + (10716573*s[55])/22 + 
       (46030579*s[56])/396 - (52616753*s[57])/1188 + (113010023*s[58])/594 - 
       (121438771*s[59])/594 - (8455878883*s[60])/7128 + 
       (929380327*s[61])/16038 - 5*s[65] - 34*s[66] + 26*s[67] + 162*s[68] - 
       250*s[69] - 52*s[70] + 35*s[71] + 64*s[72] + (1880*s[73])/3 - 
       73*s[74] + 73*s[75] + 306*s[76] + (808*s[77])/3 - (886*s[78])/3 - 
       984*s[79] + (3032*s[80])/9 - 3236*s[82] - 20*s[83] - 24*s[84] - 
       248*s[85])*\[Zeta][2] + HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      (-683*s[2] - (1151*s[3])/6 - (81607*s[4])/12 - (718847*s[5])/132 - 
       (1826881*s[6])/132 - (35748539*s[7])/297 + (1547057*s[8])/198 + 
       (405043*s[9])/4 + (320380*s[10])/9 + (105035371*s[11])/792 + 
       (37361585*s[12])/264 + (101937031*s[13])/1188 + (1817942*s[14])/99 + 
       (17843123*s[15])/108 + (123518183*s[16])/594 + 
       (400016197*s[17])/2376 + (6152737*s[18])/324 + (1938743*s[19])/81 + 
       (855595067*s[20])/3564 + (78397684*s[21])/891 - (37430705*s[22])/594 - 
       (272792791*s[23])/2376 - (110744087*s[24])/792 + 
       (2671716119*s[25])/16038 - (739736719*s[26])/8019 - (160*s[30])/3 - 
       (538*s[31])/3 + 127*s[32] - 8*s[33] + (784*s[34])/3 - 78*s[35] + 
       (3487*s[36])/9 - (515*s[37])/9 - (13109*s[38])/3 + (58821*s[39])/4 - 
       (599617*s[40])/36 + (160829*s[41])/12 - (692447*s[42])/36 - 
       (6928979*s[43])/396 + (6210821*s[44])/396 - (1882751*s[45])/99 + 
       (54651217*s[46])/396 - (36313*s[47])/1188 - (3092623*s[48])/297 + 
       (92765107*s[49])/1188 - (10689317*s[50])/99 - (3441440*s[51])/297 - 
       (5534569*s[52])/594 + (90379511*s[53])/1188 + (748102*s[54])/99 + 
       (10716573*s[55])/22 + (46030579*s[56])/396 - (52616753*s[57])/1188 + 
       (113010023*s[58])/594 - (121438771*s[59])/594 - 
       (8455878883*s[60])/7128 + (929380327*s[61])/16038 - 5*s[65] - 
       34*s[66] + 26*s[67] + 162*s[68] - 250*s[69] - 52*s[70] + 35*s[71] + 
       64*s[72] + (1880*s[73])/3 - 73*s[74] + 73*s[75] + 306*s[76] + 
       (808*s[77])/3 - (886*s[78])/3 - 984*s[79] + (3032*s[80])/9 - 
       3236*s[82] - 20*s[83] - 24*s[84] - 248*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((-191*s[2])/3 - (267*s[3])/2 - (3473*s[4])/4 - (168805*s[5])/132 - 
       (147581*s[6])/44 - (5862385*s[7])/264 + (502187*s[8])/396 + 
       (168673*s[9])/9 + (237479*s[10])/36 + (1056483*s[11])/44 + 
       (6660499*s[12])/264 + (1310121*s[13])/88 + (1736737*s[14])/264 + 
       (2174735*s[15])/72 + (1265410*s[16])/33 + (4255913*s[17])/132 + 
       (535409*s[18])/108 + (283975*s[19])/108 + (55694503*s[20])/1188 + 
       (44305583*s[21])/2376 - (27165697*s[22])/2376 - (5617675*s[23])/264 - 
       (57793849*s[24])/2376 + (307504213*s[25])/10692 - 
       (47974621*s[26])/2673 - 4*s[29] + 6*s[30] - 8*s[31] + 8*s[32] + 
       (100*s[33])/3 - (46*s[34])/3 - (170*s[35])/3 - (467*s[36])/9 + 
       (1363*s[37])/18 - 598*s[38] + (27271*s[39])/12 - (98521*s[40])/36 + 
       (25459*s[41])/12 - (111353*s[42])/36 - (1101959*s[43])/396 + 
       (1941325*s[44])/792 - (1445173*s[45])/396 + (270423*s[46])/11 - 
       (251429*s[47])/2376 - (4619243*s[48])/2376 + (26914817*s[49])/2376 - 
       (3594625*s[50])/198 - (4796305*s[51])/2376 - (4462879*s[52])/2376 + 
       (1295614*s[53])/99 - (34239*s[54])/22 + (22508755*s[55])/264 + 
       (57864403*s[56])/2376 - (11057165*s[57])/891 + 
       (773091563*s[58])/21384 - (783841739*s[59])/21384 - 
       (2887860977*s[60])/14256 + (590237411*s[61])/48114 + 4*s[67] + 
       16*s[68] - 24*s[69] + 4*s[70] + 12*s[71] + 4*s[72] + 68*s[73] - 
       (49*s[74])/3 + (49*s[75])/3 + 52*s[76] + 30*s[77] - 64*s[78] - 
       (608*s[79])/3 + (1291*s[80])/9 - 634*s[82] - 240*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((-20*s[2])/3 - 132*s[3] - 72*s[4] - (657*s[5])/2 - (21727*s[6])/12 - 
       (248923*s[7])/54 + (35455*s[8])/324 + (1226101*s[9])/324 + 
       (62873*s[10])/81 + (1132261*s[11])/216 + (1260257*s[12])/216 + 
       (34822*s[13])/9 + (340367*s[14])/108 + 4239*s[15] + (42773*s[16])/6 + 
       (1196885*s[17])/216 + (510188*s[18])/243 - (262277*s[19])/243 + 
       (9751049*s[20])/972 + (4663619*s[21])/972 - (1078475*s[22])/486 - 
       (449665*s[23])/72 - (6796841*s[24])/1944 + (101207155*s[25])/17496 - 
       (80581783*s[26])/17496 + (56*s[30])/3 - 6*s[32] - (80*s[34])/3 - 
       (176*s[35])/3 - (1184*s[36])/9 + (389*s[37])/9 - 22*s[38] + 
       (1198*s[39])/3 - (6046*s[40])/9 + (1303*s[41])/3 - (5918*s[42])/9 - 
       (62225*s[43])/99 + (186611*s[44])/396 - (121036*s[45])/99 + 
       (233543*s[46])/33 - (46825*s[47])/297 - (242020*s[48])/297 + 
       (1414741*s[49])/1188 - (798427*s[50])/198 - (766679*s[51])/1188 - 
       (930203*s[52])/1188 + (606469*s[53])/198 - (209723*s[54])/66 + 
       (691444*s[55])/33 + (12133637*s[56])/1188 - (8286338*s[57])/891 + 
       (135678667*s[58])/10692 - (113082457*s[59])/10692 - 
       (354907681*s[60])/7128 + (497656321*s[61])/96228 - 4*s[68] + 8*s[69] + 
       12*s[71] - (40*s[74])/3 + (40*s[75])/3 + 4*s[76] + 8*s[77] - 
       20*s[78] - (440*s[79])/3 + (1660*s[80])/9 + 6*s[82] - 240*s[85])*
      \[Zeta][2] + HPL[{0, 0, 1, 0, 1}, 1 - w]*(1503*s[2] - (779*s[3])/2 + 
       (53259*s[4])/4 + (41905*s[5])/4 + (49323*s[6])/2 + 
       (16562359*s[7])/72 - (255611*s[8])/18 - (7002235*s[9])/36 - 
       (2461793*s[10])/36 - (6104183*s[11])/24 - (1625753*s[12])/6 - 
       (11858687*s[13])/72 - (742883*s[14])/24 - (22943321*s[15])/72 - 
       (7187813*s[16])/18 - (23316853*s[17])/72 - (3593581*s[18])/108 - 
       (5360147*s[19])/108 - (49231567*s[20])/108 - (3980435*s[21])/24 + 
       (26174693*s[22])/216 + (7723169*s[23])/36 + (29207083*s[24])/108 - 
       (207802499*s[25])/648 + (113511371*s[26])/648 - 30*s[30] + 480*s[31] - 
       280*s[32] + (299*s[33])/2 - 836*s[34] + 186*s[35] - 1097*s[36] + 
       (1759*s[37])/6 + 9238*s[38] - (118505*s[39])/4 + (131853*s[40])/4 - 
       (106081*s[41])/4 + (152653*s[42])/4 + (1527711*s[43])/44 - 
       (2748139*s[44])/88 + (4783337*s[45])/132 - (17549299*s[46])/66 - 
       (14623*s[47])/264 + (5189279*s[48])/264 - (42014675*s[49])/264 + 
       (2317842*s[50])/11 + (5902639*s[51])/264 + (4643941*s[52])/264 - 
       (14574157*s[53])/99 - (825431*s[54])/33 - (248236415*s[55])/264 - 
       (169437415*s[56])/792 + (25687685*s[57])/297 - 
       (2597646479*s[58])/7128 + (2832271943*s[59])/7128 + 
       (3658551367*s[60])/1584 - (852204943*s[61])/8019 + 8*s[65] + 
       64*s[66] - 48*s[67] - 362*s[68] + 538*s[69] + 26*s[70] - 47*s[71] - 
       132*s[72] - 1572*s[73] + 126*s[74] - 126*s[75] - 988*s[76] - 
       428*s[77] + 902*s[78] + 1772*s[79] + (13*s[80])/3 + 7824*s[82] + 
       108*s[83] - 24*s[84] - 240*s[85])*\[Zeta][2] + 
     HPL[{0, 0, 1, 0, 1}, 1 - v]*(1693*s[2] - 755*s[3] + (24731*s[4])/2 + 
       (137729*s[5])/11 + (287339*s[6])/11 + (98012093*s[7])/396 - 
       (4246655*s[8])/297 - (5688664*s[9])/27 - (2064773*s[10])/27 - 
       (107583865*s[11])/396 - (113334119*s[12])/396 - (17059565*s[13])/99 - 
       (4085440*s[14])/99 - (12462781*s[15])/36 - (170748683*s[16])/396 - 
       (15668009*s[17])/44 - (6165091*s[18])/162 - (8389811*s[19])/162 - 
       (445350559*s[20])/891 - (331718441*s[21])/1782 + 
       (232704799*s[22])/1782 + (21509824*s[23])/99 + (259579919*s[24])/891 - 
       (5411853143*s[25])/16038 + (3041052929*s[26])/16038 + 56*s[29] - 
       82*s[30] + 492*s[31] - 307*s[32] + (85*s[33])/2 - 818*s[34] + 
       186*s[35] - 1097*s[36] + (1759*s[37])/6 + 9238*s[38] - 
       (118505*s[39])/4 + (131853*s[40])/4 - (106081*s[41])/4 + 
       (152653*s[42])/4 + (1527711*s[43])/44 - (2748139*s[44])/88 + 
       (4783337*s[45])/132 - (17549299*s[46])/66 - (14623*s[47])/264 + 
       (5189279*s[48])/264 - (42014675*s[49])/264 + (2317842*s[50])/11 + 
       (5902639*s[51])/264 + (4643941*s[52])/264 - (14574157*s[53])/99 - 
       (825431*s[54])/33 - (248236415*s[55])/264 - (169437415*s[56])/792 + 
       (25687685*s[57])/297 - (2597646479*s[58])/7128 + 
       (2832271943*s[59])/7128 + (3658551367*s[60])/1584 - 
       (852204943*s[61])/8019 + 8*s[65] + 64*s[66] - 48*s[67] - 362*s[68] + 
       538*s[69] + 26*s[70] - 47*s[71] - 132*s[72] - 1572*s[73] + 126*s[74] - 
       126*s[75] - 988*s[76] - 428*s[77] + 902*s[78] + 1772*s[79] + 
       (13*s[80])/3 + 7824*s[82] + 108*s[83] - 24*s[84] - 240*s[85])*
      \[Zeta][2] + HPL[{0, 0, 1, 0, 1}, 1 - u]*(1655*s[2] - 188*s[3] + 
       (31049*s[4])/2 + (596681*s[5])/44 + (1329505*s[6])/44 + 
       (28013999*s[7])/99 - (21714691*s[8])/1188 - (25884821*s[9])/108 - 
       (9057859*s[10])/108 - (30923012*s[11])/99 - (32986534*s[12])/99 - 
       (13283321*s[13])/66 - (3985766*s[14])/99 - (4671161*s[15])/12 - 
       (10772241*s[16])/22 - (156714139*s[17])/396 - (14298463*s[18])/324 - 
       (9313219*s[19])/162 - (1006498417*s[20])/1782 - 
       (739238183*s[21])/3564 + (132796231*s[22])/891 + 
       (35352485*s[23])/132 + (1172046823*s[24])/3564 - 
       (25157982559*s[25])/64152 + (13890420679*s[26])/64152 - 42*s[30] + 
       476*s[31] - 352*s[32] + (199*s[33])/2 - 852*s[34] + 104*s[35] - 
       (4324*s[36])/3 + (889*s[37])/3 + 10798*s[38] - 36320*s[39] + 
       (120424*s[40])/3 - 31993*s[41] + (143429*s[42])/3 + 
       (1325360*s[43])/33 - (2459647*s[44])/66 + (2805827*s[45])/66 - 
       (6942655*s[46])/22 + (267358*s[47])/99 + (1951216*s[48])/99 - 
       (18340144*s[49])/99 + (8200319*s[50])/33 + (2863037*s[51])/99 + 
       (4525255*s[52])/198 - (11423843*s[53])/66 - (283531*s[54])/11 - 
       (36333292*s[55])/33 - (25328159*s[56])/99 + (41342948*s[57])/297 - 
       (791485415*s[58])/1782 + (424461118*s[59])/891 + 
       (3218140181*s[60])/1188 - (4098415375*s[61])/32076 + 64*s[63] - 
       324*s[68] + 660*s[69] + 60*s[70] - 42*s[71] - 96*s[72] - 1656*s[73] + 
       78*s[74] - 78*s[75] - 952*s[76] - 500*s[77] + 1152*s[78] + 
       1600*s[79] + (218*s[80])/3 + 7824*s[82] + 108*s[83] - 24*s[84] - 
       240*s[85])*\[Zeta][2] + HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      (35*s[2] - (439*s[3])/4 - (60827*s[4])/24 - (721285*s[5])/264 - 
       (457141*s[6])/132 - (252712523*s[7])/4752 + (3468898*s[8])/891 + 
       (29519401*s[9])/648 + (11529527*s[10])/648 + (270130505*s[11])/4752 + 
       (140111231*s[12])/2376 + (17886617*s[13])/528 + 
       (38184635*s[14])/4752 + (11342617*s[15])/144 + (74569417*s[16])/792 + 
       (375115597*s[17])/4752 + (14070017*s[18])/1944 + 
       (24810673*s[19])/1944 + (2385390877*s[20])/21384 + 
       (1701258539*s[21])/42768 - (1208728813*s[22])/42768 - 
       (10794757*s[23])/264 - (1402292255*s[24])/21384 + 
       (27355202207*s[25])/384912 - (15064266059*s[26])/384912 - 10*s[29] + 
       (53*s[30])/3 + 81*s[31] - (73*s[32])/6 + (47*s[33])/2 - 
       (173*s[34])/3 + (551*s[35])/3 + (2720*s[36])/9 - (5185*s[37])/36 - 
       (2991*s[38])/2 + (64523*s[39])/12 - (209177*s[40])/36 + 
       (29419*s[41])/6 - (130949*s[42])/18 - (2228755*s[43])/396 + 
       (4456277*s[44])/792 - (5389733*s[45])/792 + (39524941*s[46])/792 - 
       (1349251*s[47])/2376 - (4297933*s[48])/2376 + (67414573*s[49])/2376 - 
       (4224094*s[50])/99 - (10874927*s[51])/2376 - (6848075*s[52])/2376 + 
       (70212287*s[53])/2376 + (3139901*s[54])/396 + (149441813*s[55])/792 + 
       (9824225*s[56])/264 - (2970815*s[57])/1188 + (58089890*s[58])/891 - 
       (516349225*s[59])/7128 - (3191575811*s[60])/7128 + 
       (817042063*s[61])/42768 - 5*s[65] - 18*s[66] + 28*s[67] + 22*s[68] + 
       22*s[69] - 40*s[70] - (37*s[71])/2 + (38*s[72])/3 - 156*s[73] + 
       (31*s[74])/3 - (31*s[75])/3 - (386*s[76])/3 + 23*s[77] + 
       (502*s[78])/3 - (242*s[79])/3 - (4165*s[80])/18 - (6614*s[82])/3 + 
       (107*s[83])/2 - 137*s[84] - (700*s[85])/3)*\[Zeta][2] + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*((1174*s[2])/3 - 
       (2951*s[3])/12 + (78151*s[4])/24 + (252807*s[5])/88 + 
       (63011*s[6])/11 + (90999281*s[7])/1584 - (12927953*s[8])/3564 - 
       (31750175*s[9])/648 - (10862683*s[10])/648 - (302001223*s[11])/4752 - 
       (40136161*s[12])/594 - (195312841*s[13])/4752 - 
       (33523891*s[14])/4752 - (34634555*s[15])/432 - 
       (236888561*s[16])/2376 - (383877823*s[17])/4752 - 
       (16006525*s[18])/1944 - (23893637*s[19])/1944 - 
       (2436140873*s[20])/21384 - (1792215559*s[21])/42768 + 
       (1304632577*s[22])/42768 + (16554476*s[23])/297 + 
       (718409159*s[24])/10692 - (30829310449*s[25])/384912 + 
       (16903971817*s[26])/384912 - 16*s[29] - (29*s[30])/3 + (293*s[31])/3 - 
       (195*s[32])/2 + 26*s[33] - (629*s[34])/3 + 11*s[35] - (3838*s[36])/9 + 
       (9601*s[37])/36 + (5445*s[38])/2 - (37137*s[39])/4 + 
       (368545*s[40])/36 - (24293*s[41])/3 + (111776*s[42])/9 + 
       (3899003*s[43])/396 - (933215*s[44])/99 + (8024957*s[45])/792 - 
       (20316047*s[46])/264 + (1228489*s[47])/1188 + (2263667*s[48])/594 - 
       (54601849*s[49])/1188 + (6046523*s[50])/99 + (8866355*s[51])/1188 + 
       (6815531*s[52])/1188 - (11255059*s[53])/264 - (911731*s[54])/132 - 
       (107249743*s[55])/396 - (18220457*s[56])/297 + (33240035*s[57])/891 - 
       (2333711123*s[58])/21384 + (633718883*s[59])/5346 + 
       (9434674709*s[60])/14256 - (11531760589*s[61])/384912 - s[65] + 
       6*s[66] - 4*s[67] - (206*s[68])/3 + (466*s[69])/3 + 16*s[70] + 
       (9*s[71])/2 - 18*s[72] - (1132*s[73])/3 + 6*s[74] - 6*s[75] - 
       (610*s[76])/3 - (377*s[77])/3 + (550*s[78])/3 + 548*s[79] + 
       (265*s[80])/18 + (6094*s[82])/3 + (83*s[83])/2 + 87*s[84] - 
       (700*s[85])/3)*\[Zeta][2] + HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((287*s[2])/3 - (755*s[3])/6 - (1720*s[4])/3 - (2981*s[5])/8 + 
       (3341*s[6])/8 - (1966417*s[7])/216 + (202093*s[8])/216 + 
       (1658971*s[9])/216 + (768089*s[10])/216 + (77541*s[11])/8 + 
       (356969*s[12])/36 + (1196537*s[13])/216 - (11761*s[14])/24 + 
       (820703*s[15])/54 + (1865953*s[16])/108 + (1542683*s[17])/108 + 
       (22177*s[18])/216 + (415517*s[19])/108 + (2082623*s[20])/108 + 
       (926803*s[21])/162 - (3244117*s[22])/648 - (926893*s[23])/216 - 
       (8883985*s[24])/648 + (150388151*s[25])/11664 - 
       (68335871*s[26])/11664 + (79*s[30])/3 + 66*s[31] - (50*s[32])/3 - 
       (319*s[33])/12 - (106*s[34])/3 + 146*s[35] + (430*s[36])/3 - 
       (628*s[37])/9 - 213*s[38] + (1649*s[39])/2 - (3887*s[40])/6 + 
       707*s[41] - 1223*s[42] - (22025*s[43])/66 + (176941*s[44])/264 - 
       (123269*s[45])/198 + (559408*s[46])/99 - (100225*s[47])/264 + 
       (243019*s[48])/264 + (1105171*s[49])/264 - (459355*s[50])/66 - 
       (579319*s[51])/792 - (16363*s[52])/264 + (1341746*s[53])/297 + 
       (450268*s[54])/99 + (22039243*s[55])/792 + (1890833*s[56])/2376 + 
       (20340233*s[57])/3564 + (119032213*s[58])/21384 - 
       (174628183*s[59])/21384 - (287137879*s[60])/4752 + 
       (174699379*s[61])/192456 - (50*s[68])/3 + (100*s[69])/3 - 24*s[70] - 
       18*s[71] - 12*s[72] - (532*s[73])/3 + 23*s[74] - 23*s[75] - 
       (406*s[76])/3 - (38*s[77])/3 + (472*s[78])/3 + (968*s[79])/3 - 
       (2720*s[80])/9 - 1548*s[82] + (89*s[83])/2 - 135*s[84] - 224*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      (-114*s[2] - (2*s[3])/3 - (30857*s[4])/16 - (1077085*s[5])/528 - 
       (771143*s[6])/176 - (5034923*s[7])/132 + (38594705*s[8])/14256 + 
       (42215929*s[9])/1296 + (13432637*s[10])/1296 + 
       (397425371*s[11])/9504 + (428339839*s[12])/9504 + 
       (128287627*s[13])/4752 + (1895044*s[14])/297 + (5514143*s[15])/108 + 
       (153569909*s[16])/2376 + (485905745*s[17])/9504 + 
       (28657019*s[18])/3888 + (20848729*s[19])/3888 + 
       (824470123*s[20])/10692 + (1246742293*s[21])/42768 - 
       (860015897*s[22])/42768 - (398243143*s[23])/9504 - 
       (3538836751*s[24])/85536 + (40120301027*s[25])/769824 - 
       (22935122399*s[26])/769824 - 3*s[29] - (11*s[30])/12 - (83*s[31])/2 + 
       (59*s[32])/3 + (599*s[33])/48 + (737*s[34])/12 - (29*s[35])/3 + 
       (1519*s[36])/12 - (5071*s[37])/36 - (9769*s[38])/6 + 
       (284243*s[39])/48 - (106269*s[40])/16 + (247711*s[41])/48 - 
       (130309*s[42])/16 - (1050755*s[43])/176 + (6114169*s[44])/1056 - 
       (1430603*s[45])/198 + (82503829*s[46])/1584 - (3920863*s[47])/3168 - 
       (6832057*s[48])/3168 + (84764089*s[49])/3168 - (10548775*s[50])/264 - 
       (16938277*s[51])/3168 - (13904711*s[52])/3168 + 
       (133280561*s[53])/4752 + (72505*s[54])/99 + (569575661*s[55])/3168 + 
       (440978273*s[56])/9504 - (61018049*s[57])/1782 + 
       (6658810975*s[58])/85536 - (6861235429*s[59])/85536 - 
       (8251403375*s[60])/19008 + (17638356733*s[61])/769824 - 3*s[66] + 
       3*s[67] + 17*s[68] - 33*s[69] - (21*s[70])/2 + (11*s[71])/2 + 
       111*s[73] + (23*s[74])/12 - (23*s[75])/12 + 97*s[76] + (109*s[77])/3 - 
       (557*s[78])/6 - (1258*s[79])/3 + (544*s[80])/9 - (2839*s[82])/2 - 
       (39*s[83])/4 - (339*s[84])/2 - 218*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((-777*s[2])/4 - (3667*s[3])/24 - (12447*s[4])/4 - (1410439*s[5])/528 - 
       (213959*s[6])/33 - (178813919*s[7])/3168 + (28320643*s[8])/7128 + 
       (61790671*s[9])/1296 + (20813831*s[10])/1296 + 
       (294348457*s[11])/4752 + (631969729*s[12])/9504 + 
       (379846265*s[13])/9504 + (85188113*s[14])/9504 + 
       (66224311*s[15])/864 + (459741397*s[16])/4752 + 
       (367549423*s[17])/4752 + (38628503*s[18])/3888 + 
       (18609083*s[19])/1944 + (4860649477*s[20])/42768 + 
       (3580593053*s[21])/85536 - (2531734129*s[22])/85536 - 
       (551200195*s[23])/9504 - (5437422511*s[24])/85536 + 
       (59856185681*s[25])/769824 - (33477065009*s[26])/769824 + 
       (121*s[30])/12 - (113*s[31])/2 + (77*s[32])/3 - (571*s[33])/48 + 
       (977*s[34])/12 - (29*s[35])/3 + (1519*s[36])/12 - (4687*s[37])/36 - 
       (3259*s[38])/2 + (287443*s[39])/48 - (322007*s[40])/48 + 
       (250975*s[41])/48 - (396559*s[42])/48 - (3171209*s[43])/528 + 
       (6136633*s[44])/1056 - (1441067*s[45])/198 + (83271061*s[46])/1584 - 
       (4080367*s[47])/3168 - (6579721*s[48])/3168 + (85051465*s[49])/3168 - 
       (10636271*s[50])/264 - (17203349*s[51])/3168 - (14185415*s[52])/3168 + 
       (134532785*s[53])/4752 + (55009*s[54])/99 + (574646333*s[55])/3168 + 
       (446703857*s[56])/9504 - (62680781*s[57])/1782 + 
       (6738369103*s[58])/85536 - (6937483573*s[59])/85536 - 
       (8307363743*s[60])/19008 + (17858413789*s[61])/769824 - 3*s[66] + 
       3*s[67] + 17*s[68] - 33*s[69] - (21*s[70])/2 + (11*s[71])/2 + 
       111*s[73] + (23*s[74])/12 - (23*s[75])/12 + 97*s[76] + (109*s[77])/3 - 
       (557*s[78])/6 - (1258*s[79])/3 + (544*s[80])/9 - (2743*s[82])/2 - 
       (39*s[83])/4 - (339*s[84])/2 - 218*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*(-24*s[2] - 160*s[3] - 
       321*s[4] - (7701*s[5])/22 - (40531*s[6])/22 - (163157*s[7])/22 + 
       (33931*s[8])/66 + (35861*s[9])/6 + (10417*s[10])/6 + 
       (89041*s[11])/11 + (195641*s[12])/22 + (121623*s[13])/22 + 
       (62919*s[14])/22 + 8557*s[15] + (131675*s[16])/11 + 
       (208921*s[17])/22 + (42157*s[18])/18 - (1763*s[19])/9 + 
       (1508674*s[20])/99 + (628498*s[21])/99 - (713659*s[22])/198 - 
       (103365*s[23])/11 - (684455*s[24])/99 + (34512589*s[25])/3564 - 
       (22924765*s[26])/3564 + 12*s[30] + 31*s[33] - 40*s[34] - 48*s[35] - 
       112*s[36] + 70*s[37] - 76*s[38] + 616*s[39] - 920*s[40] + 642*s[41] - 
       974*s[42] - (9760*s[43])/11 + (7619*s[44])/11 - (13597*s[45])/11 + 
       (88563*s[46])/11 - (1717*s[47])/11 - (9329*s[48])/11 + 
       (24115*s[49])/11 - (53048*s[50])/11 - (8947*s[51])/11 - 
       (10589*s[52])/11 + (39711*s[53])/11 - (35622*s[54])/11 + 
       (791545*s[55])/33 + (114671*s[56])/11 - (321280*s[57])/33 + 
       (1375628*s[58])/99 - (1204835*s[59])/99 - (638463*s[60])/11 + 
       (9351439*s[61])/1782 + 12*s[71] - 12*s[74] + 12*s[75] + 16*s[77] - 
       24*s[78] - 144*s[79] + 172*s[80] + 232*s[82] - 208*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*(12*s[2] - (163*s[3])/2 + 
       (1563*s[4])/4 + (153*s[5])/11 - (37417*s[6])/44 + (2398421*s[7])/792 - 
       (332245*s[8])/1188 - (72800*s[9])/27 - (40051*s[10])/27 - 
       (2546251*s[11])/792 - (1232059*s[12])/396 - (1261955*s[13])/792 + 
       (1188863*s[14])/792 - (478711*s[15])/72 - (2573101*s[16])/396 - 
       (1475555*s[17])/264 + (81164*s[18])/81 - (860105*s[19])/324 - 
       (21385979*s[20])/3564 - (6111235*s[21])/7128 + (13198091*s[22])/7128 - 
       (29969*s[23])/198 + (10724015*s[24])/1782 - (156800087*s[25])/32076 + 
       (41238485*s[26])/32076 + 4*s[30] + 8*s[31] - 6*s[32] + (131*s[33])/2 - 
       44*s[34] - 66*s[35] - (455*s[36])/3 + (190*s[37])/3 + 230*s[38] - 
       (2385*s[39])/4 + (5423*s[40])/12 - (1937*s[41])/4 + (8611*s[42])/12 + 
       (56245*s[43])/132 - (162263*s[44])/264 - (4495*s[45])/66 - 
       (233249*s[46])/132 - (54677*s[47])/792 - (275579*s[48])/792 - 
       (3080089*s[49])/792 + (107713*s[50])/33 + (184805*s[51])/792 - 
       (169603*s[52])/792 - (801649*s[53])/396 - (129968*s[54])/33 - 
       (3010367*s[55])/264 + (267941*s[56])/88 - (680179*s[57])/99 + 
       (1523957*s[58])/2376 + (6046549*s[59])/2376 + (135184843*s[60])/4752 + 
       (11033801*s[61])/7128 - 18*s[68] + 10*s[69] + 12*s[71] - 12*s[74] + 
       12*s[75] - 8*s[76] - 6*s[77] - 22*s[78] - 88*s[79] + (578*s[80])/3 + 
       232*s[82] - 208*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - w]*(-4*s[2] - 87*s[3] + (243*s[4])/2 - 
       (5233*s[5])/22 - (14482*s[6])/11 - (927085*s[7])/396 + (574*s[8])/11 + 
       (11731*s[9])/6 + (677*s[10])/2 + (315481*s[11])/132 + 
       (28151*s[12])/11 + (619769*s[13])/396 + (383929*s[14])/132 + 
       (60577*s[15])/36 + (320240*s[16])/99 + (1157539*s[17])/396 + 
       (98527*s[18])/54 - (85513*s[19])/54 + (3452765*s[20])/594 + 
       (4029305*s[21])/1188 - (132757*s[22])/132 - (806969*s[23])/198 - 
       (100517*s[24])/198 + (21082613*s[25])/10692 - (28964849*s[26])/10692 - 
       6*s[32] + 31*s[33] - 40*s[34] - 54*s[35] - (407*s[36])/3 + 
       (394*s[37])/3 + 136*s[38] - (327*s[39])/4 - (2071*s[40])/12 + 
       (369*s[41])/4 - (395*s[42])/12 - (25301*s[43])/132 + 
       (12607*s[44])/264 - (55123*s[45])/66 + (523333*s[46])/132 + 
       (18445*s[47])/792 - (591725*s[48])/792 - (661039*s[49])/792 - 
       (56579*s[50])/33 - (192541*s[51])/792 - (336757*s[52])/792 + 
       (614153*s[53])/396 - (111434*s[54])/33 + (1017901*s[55])/88 + 
       (696755*s[56])/88 - (515650*s[57])/99 + (17989067*s[58])/2376 - 
       (12943421*s[59])/2376 - (110943515*s[60])/4752 + 
       (9523705*s[61])/2376 + 4*s[68] + 12*s[71] - 12*s[74] + 12*s[75] - 
       12*s[76] + 16*s[77] - 6*s[78] - 160*s[79] + (626*s[80])/3 + 
       232*s[82] - 208*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u]*(-44*s[2] + 38*s[3] + (2235*s[4])/4 - 
       (18087*s[5])/44 - (31971*s[6])/22 - (108719*s[7])/66 - 
       (247543*s[8])/594 + (91639*s[9])/54 + (78649*s[10])/108 + 
       (126545*s[11])/99 + (46642*s[12])/99 + (25031*s[13])/99 + 
       (1974473*s[14])/396 + (14149*s[15])/9 + (1037009*s[16])/396 + 
       (421853*s[17])/99 + (147343*s[18])/81 - (149248*s[19])/81 + 
       (11317987*s[20])/1782 + (3770882*s[21])/891 - (2660509*s[22])/3564 + 
       (149495*s[23])/99 - (167458*s[24])/891 - (16083235*s[25])/32076 - 
       (72356255*s[26])/32076 - 6*s[29] + 13*s[30] - 24*s[31] + 4*s[32] + 
       (67*s[33])/4 - 7*s[34] - 48*s[35] - 156*s[36] + (263*s[37])/3 + 
       384*s[38] - 896*s[39] + 690*s[40] - 621*s[41] + 1044*s[42] + 
       (7166*s[43])/11 - (8137*s[44])/11 + (4922*s[45])/33 - 
       (101606*s[46])/33 + (3373*s[47])/22 - (10091*s[48])/22 - 
       (104829*s[49])/22 + (42976*s[50])/11 + (10489*s[51])/22 + 
       (1086*s[52])/11 - (239452*s[53])/99 - (125765*s[54])/33 - 
       (308229*s[55])/22 + (434081*s[56])/198 - (914341*s[57])/297 - 
       (4014623*s[58])/1782 + (9168815*s[59])/1782 + (14910857*s[60])/396 + 
       (8286986*s[61])/8019 + 4*s[66] + 12*s[68] - 12*s[69] + 24*s[70] + 
       12*s[71] + 4*s[73] - 12*s[74] + 12*s[75] + 2*s[76] - 22*s[77] - 
       20*s[78] - 176*s[79] + (664*s[80])/3 + 232*s[82] - 208*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-1679*s[2])/8 + (371*s[3])/16 - (142917*s[4])/32 - 
       (506197*s[5])/132 - (8566007*s[6])/1056 - (1515987347*s[7])/19008 + 
       (166681979*s[8])/28512 + (43996123*s[9])/648 + (14502041*s[10])/648 + 
       (1665289139*s[11])/19008 + (897406727*s[12])/9504 + 
       (359172137*s[13])/6336 + (200583461*s[14])/19008 + 
       (6953215*s[15])/64 + (215772613*s[16])/1584 + (2044513693*s[17])/
        19008 + (26043647*s[18])/1944 + (108749101*s[19])/7776 + 
       (13676271739*s[20])/85536 + (10011821783*s[21])/171072 - 
       (7218614479*s[22])/171072 - (264504545*s[23])/3168 - 
       (7697546591*s[24])/85536 + (5321562505*s[25])/48114 - 
       (1470331628*s[26])/24057 + 2*s[29] + (14*s[30])/3 - (113*s[31])/2 + 
       (593*s[32])/12 - (61*s[33])/16 + (365*s[34])/3 + (279*s[35])/4 + 
       (741*s[36])/2 - (28199*s[37])/72 - (39311*s[38])/12 + 
       (190311*s[39])/16 - (634733*s[40])/48 + (166061*s[41])/16 - 
       (787789*s[42])/48 - (186635*s[43])/16 + (371207*s[44])/32 - 
       (1931513*s[45])/144 + (3602003*s[46])/36 - (249541*s[47])/96 - 
       (319171*s[48])/96 + (1721989*s[49])/32 - (627653*s[50])/8 - 
       (3091525*s[51])/288 - (271043*s[52])/32 + (23548903*s[53])/432 + 
       (294817*s[54])/72 + (100287701*s[55])/288 + (73704265*s[56])/864 - 
       (10268887*s[57])/162 + (1151460587*s[58])/7776 - 
       (1202670569*s[59])/7776 - (1458981929*s[60])/1728 + 
       (2927493599*s[61])/69984 - 16*s[66] + 14*s[67] + (100*s[68])/3 - 
       (146*s[69])/3 - (51*s[70])/2 - 4*s[71] + s[72]/2 + (1139*s[73])/6 + 
       (123*s[74])/8 - (123*s[75])/8 + (817*s[76])/6 + (773*s[77])/12 - 
       77*s[78] - 902*s[79] + (2731*s[80])/36 - (8210*s[82])/3 - 
       (67*s[83])/4 - (645*s[84])/2 - (598*s[85])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-39*s[2])/8 - (585*s[3])/16 - (250283*s[4])/96 - (634265*s[5])/528 - 
       (4921547*s[6])/1056 - (642017363*s[7])/19008 + (89454335*s[8])/28512 + 
       (18311917*s[9])/648 + (8466283*s[10])/1296 + (727998833*s[11])/19008 + 
       (105013769*s[12])/2376 + (174349705*s[13])/6336 + 
       (39470669*s[14])/19008 + (2529555*s[15])/64 + (14202785*s[16])/264 + 
       (688778467*s[17])/19008 + (28743817*s[18])/3888 + 
       (19156273*s[19])/7776 + (5393301823*s[20])/85536 + 
       (3880913591*s[21])/171072 - (3039170875*s[22])/171072 - 
       (5166182*s[23])/99 - (174669677*s[24])/5346 + (19265469911*s[25])/
        384912 - (5133099847*s[26])/192456 + 2*s[29] - (43*s[30])/3 - 
       (77*s[31])/2 - (11*s[32])/12 - (109*s[33])/16 + (109*s[34])/3 - 
       (79*s[35])/12 + (125*s[36])/9 - (8951*s[37])/72 - (6431*s[38])/4 + 
       (309395*s[39])/48 - (1049321*s[40])/144 + (266441*s[41])/48 - 
       (1363261*s[42])/144 - (8034679*s[43])/1584 + (2238055*s[44])/396 - 
       (8543881*s[45])/1584 + (17819249*s[46])/396 - (13309553*s[47])/4752 - 
       (124895*s[48])/1188 + (104221151*s[49])/4752 - (12931591*s[50])/396 - 
       (4087217*s[51])/594 - (28017061*s[52])/4752 + (104990593*s[53])/4752 - 
       (929057*s[54])/198 + (110327507*s[55])/792 + (67605529*s[56])/1584 - 
       (105414193*s[57])/1584 + (277387279*s[58])/3564 - 
       (66882997*s[59])/891 - (1248545719*s[60])/3564 + 
       (2583694229*s[61])/128304 + 2*s[65] + 16*s[66] - 20*s[67] - 8*s[68] - 
       12*s[69] + (25*s[70])/2 + 14*s[71] - (233*s[72])/6 + (47*s[73])/2 + 
       (1037*s[74])/24 - (1037*s[75])/24 + (281*s[76])/6 - (53*s[77])/4 - 
       (206*s[78])/3 - (2456*s[79])/3 + (10279*s[80])/36 + (781*s[82])/3 - 
       (107*s[83])/4 - (769*s[84])/2 - (574*s[85])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      (-92*s[2] - (479*s[3])/6 - (10061*s[4])/8 - (380125*s[5])/264 - 
       (279179*s[6])/88 - (5359297*s[7])/198 + (11852957*s[8])/7128 + 
       (14878171*s[9])/648 + (5316263*s[10])/648 + (139869875*s[11])/4752 + 
       (147167233*s[12])/4752 + (43852111*s[13])/2376 + 
       (13565911*s[14])/2376 + (1017571*s[15])/27 + (111718669*s[16])/2376 + 
       (185741177*s[17])/4752 + (9162485*s[18])/1944 + (9510415*s[19])/1944 + 
       (1195071751*s[20])/21384 + (445858297*s[21])/21384 - 
       (37876504*s[22])/2673 - (114107203*s[23])/4752 - 
       (1340319067*s[24])/42768 + (13985066825*s[25])/384912 - 
       (8022392567*s[26])/384912 + (19*s[30])/6 - 19*s[31] + (59*s[32])/6 - 
       (319*s[33])/24 + (191*s[34])/6 + (2*s[35])/3 + (37*s[36])/3 - 
       (482*s[37])/9 - (3631*s[38])/6 + 2267*s[39] - (7687*s[40])/3 + 
       (24041*s[41])/12 - (37133*s[42])/12 - (26408*s[43])/11 + 
       (75725*s[44])/33 - (1246451*s[45])/396 + (8704085*s[46])/396 - 
       (9073*s[47])/22 - (71857*s[48])/66 + (1426081*s[49])/132 - 
       (2234941*s[50])/132 - (200692*s[51])/99 - (53560*s[52])/33 + 
       (14322871*s[53])/1188 + (124829*s[54])/396 + (15331153*s[55])/198 + 
       (23621909*s[56])/1188 - (37177949*s[57])/3564 + 
       (84962125*s[58])/2673 - (351056551*s[59])/10692 - 
       (218849237*s[60])/1188 + (969670909*s[61])/96228 + 4*s[66] - 2*s[67] + 
       4*s[68] - 14*s[69] - 13*s[70] + 2*s[71] - 2*s[72] + 19*s[73] - 
       (2*s[74])/3 + (2*s[75])/3 + 20*s[76] + (41*s[77])/3 - (98*s[78])/3 - 
       (377*s[79])/3 + (347*s[80])/9 - 1180*s[82] - s[83]/2 - 73*s[84] - 
       180*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*((369*s[2])/2 - (3473*s[3])/12 - (599*s[4])/8 + 
       (13340*s[5])/33 + (67649*s[6])/88 + (2147459*s[7])/1584 + 
       (581311*s[8])/7128 - (489971*s[9])/324 + (273539*s[10])/324 - 
       (9972701*s[11])/4752 - (6798893*s[12])/2376 - (10817093*s[13])/4752 - 
       (523031*s[14])/4752 + (321305*s[15])/432 - (765719*s[16])/1188 + 
       (4459669*s[17])/4752 - (1285315*s[18])/972 + (3280607*s[19])/1944 - 
       (15987955*s[20])/21384 - (88465673*s[21])/42768 + 
       (34934017*s[22])/42768 + (19940267*s[23])/2376 - 
       (38506639*s[24])/21384 - (202529735*s[25])/96228 + 
       (207339479*s[26])/96228 + 4*s[29] + (22*s[30])/3 + 90*s[31] - 
       (133*s[32])/3 - (271*s[33])/12 - (364*s[34])/3 + (289*s[35])/3 - 
       (214*s[36])/3 + (2473*s[37])/18 + (2828*s[38])/3 - (11759*s[39])/4 + 
       (39469*s[40])/12 - (27929*s[41])/12 + (45515*s[42])/12 + 
       (141125*s[43])/44 - (185569*s[44])/66 + (1323131*s[45])/396 - 
       (2332394*s[46])/99 + (8757*s[47])/22 + (201119*s[48])/132 - 
       (433201*s[49])/33 + (537898*s[50])/33 + (872317*s[51])/396 + 
       (296701*s[52])/132 - (6933371*s[53])/594 + (86929*s[54])/99 - 
       (29842415*s[55])/396 - (13129063*s[56])/594 + (89247683*s[57])/3564 - 
       (405493285*s[58])/10692 + (414487849*s[59])/10692 + 
       (449080333*s[60])/2376 - (982986049*s[61])/96228 - s[65] + 2*s[66] - 
       32*s[68] + 70*s[69] - 16*s[70] - 5*s[71] - 22*s[72] - 272*s[73] + 
       (115*s[74])/6 - (115*s[75])/6 - 186*s[76] - (137*s[77])/3 + 
       (548*s[78])/3 + (758*s[79])/3 - (581*s[80])/9 + 406*s[82] + 
       (93*s[83])/2 - 3*s[84] - 176*s[85])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*(-688*s[2] - (143*s[3])/4 - 
       (127851*s[4])/16 - (77738*s[5])/11 - (2808093*s[6])/176 - 
       (464605525*s[7])/3168 + (11818861*s[8])/1188 + (13405229*s[9])/108 + 
       (18467743*s[10])/432 + (511629817*s[11])/3168 + 
       (136872101*s[12])/792 + (109887845*s[13])/1056 + 
       (68339401*s[14])/3168 + (19265183*s[15])/96 + (22250055*s[16])/88 + 
       (644083601*s[17])/3168 + (31184071*s[18])/1296 + 
       (36086063*s[19])/1296 + (261679949*s[20])/891 + 
       (3082997299*s[21])/28512 - (2199023213*s[22])/28512 - 
       (9482581*s[23])/66 - (2397874153*s[24])/14256 + 
       (52011203905*s[25])/256608 - (28875976003*s[26])/256608 + 4*s[29] + 
       (65*s[30])/4 - (407*s[31])/2 + (279*s[32])/2 - (569*s[33])/16 + 
       (1397*s[34])/4 - (63*s[35])/2 + (1861*s[36])/3 - (694*s[37])/3 - 
       5324*s[38] + (149643*s[39])/8 - (497417*s[40])/24 + (131483*s[41])/8 - 
       (601831*s[42])/24 - (5267527*s[43])/264 + (9977705*s[44])/528 - 
       (1452551*s[45])/66 + (14357771*s[46])/88 - (3765973*s[47])/1584 - 
       (13893739*s[48])/1584 + (145425319*s[49])/1584 - (4213388*s[50])/33 - 
       (24594083*s[51])/1584 - (19632803*s[52])/1584 + (2942374*s[53])/33 + 
       (218257*s[54])/22 + (299873281*s[55])/528 + (215891261*s[56])/1584 - 
       (48958039*s[57])/594 + (3334354861*s[58])/14256 - 
       (3528053869*s[59])/14256 - (13181501125*s[60])/9504 + 
       (4364562311*s[61])/64152 - 32*s[63] + 8*s[66] - 8*s[67] + 116*s[68] - 
       268*s[69] - 25*s[70] + (29*s[71])/2 + 25*s[72] + 633*s[73] - 
       (85*s[74])/4 + (85*s[75])/4 + 407*s[76] + (409*s[77])/2 - 503*s[78] - 
       931*s[79] + (277*s[80])/3 - 4385*s[82] - (123*s[83])/4 - 
       (207*s[84])/2 - 172*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*
      Omega2[w, u, v]*(-82*s[2] - 81*s[3] - (1593*s[4])/2 - (21407*s[5])/22 - 
       (30688*s[6])/11 - (7070549*s[7])/396 + (330400*s[8])/297 + 
       (811279*s[9])/54 + (266363*s[10])/54 + (7702991*s[11])/396 + 
       (2051923*s[12])/99 + (550333*s[13])/44 + (1823243*s[14])/396 + 
       (94181*s[15])/4 + (997814*s[16])/33 + (9835339*s[17])/396 + 
       (647861*s[18])/162 + (307153*s[19])/162 + (65104537*s[20])/1782 + 
       (51510311*s[21])/3564 - (32694625*s[22])/3564 - (415367*s[23])/22 - 
       (33644537*s[24])/1782 + (758603063*s[25])/32076 - 
       (462053063*s[26])/32076 + 4*s[30] - 28*s[31] + 8*s[32] + 18*s[33] + 
       12*s[34] - 48*s[35] - (112*s[36])/3 + (74*s[37])/3 - 510*s[38] + 
       1959*s[39] - (6965*s[40])/3 + 1786*s[41] - (8056*s[42])/3 - 
       (76639*s[43])/33 + (132695*s[44])/66 - (100801*s[45])/33 + 
       (679310*s[46])/33 - (25082*s[47])/99 - (144707*s[48])/99 + 
       (909860*s[49])/99 - (491374*s[50])/33 - (176536*s[51])/99 - 
       (334505*s[52])/198 + (1070302*s[53])/99 - (55417*s[54])/33 + 
       (771732*s[55])/11 + (684806*s[56])/33 - (1241143*s[57])/99 + 
       (3057625*s[58])/99 - (1020395*s[59])/33 - (98880827*s[60])/594 + 
       (27693823*s[61])/2673 + 12*s[68] - 24*s[69] + 12*s[71] + 72*s[73] - 
       12*s[74] + 12*s[75] + 60*s[76] + 24*s[77] - 72*s[78] - 176*s[79] + 
       (364*s[80])/3 - 200*s[82] - 160*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*Omega2[v, w, u]*(-88*s[2] - (189*s[3])/2 - 
       (3245*s[4])/4 - (10178*s[5])/11 - (124637*s[6])/44 - 
       (13885291*s[7])/792 + (447589*s[8])/396 + (264199*s[9])/18 + 
       (43435*s[10])/9 + (5038535*s[11])/264 + (2686999*s[12])/132 + 
       (9731573*s[13])/792 + (1207805*s[14])/264 + (1657297*s[15])/72 + 
       (11755339*s[16])/396 + (19335775*s[17])/792 + (107549*s[18])/27 + 
       (191869*s[19])/108 + (42509479*s[20])/1188 + (11208029*s[21])/792 - 
       (21315839*s[22])/2376 - (3741709*s[23])/198 - (10932917*s[24])/594 + 
       (82769627*s[25])/3564 - (50428469*s[26])/3564 + 4*s[30] - 30*s[31] + 
       8*s[32] + 19*s[33] + 6*s[34] - 54*s[35] - 53*s[36] + 32*s[37] - 
       452*s[38] + (7511*s[39])/4 - (9043*s[40])/4 + (6983*s[41])/4 - 
       (10479*s[42])/4 - (97329*s[43])/44 + (171843*s[44])/88 - 
       (64891*s[45])/22 + (878545*s[46])/44 - (23141*s[47])/88 - 
       (126123*s[48])/88 + (762863*s[49])/88 - (157592*s[50])/11 - 
       (154747*s[51])/88 - (145179*s[52])/88 + (1377113*s[53])/132 - 
       (21762*s[54])/11 + (17870777*s[55])/264 + (5428151*s[56])/264 - 
       (2568551*s[57])/198 + (71780557*s[58])/2376 - (71268691*s[59])/2376 - 
       (28176175*s[60])/176 + (219051127*s[61])/21384 + 14*s[68] - 26*s[69] + 
       12*s[71] + 72*s[73] - 12*s[74] + 12*s[75] + 60*s[76] + 26*s[77] - 
       74*s[78] - 204*s[79] + 150*s[80] - 200*s[82] - 160*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*Omega2[u, v, w]*(-82*s[2] - 94*s[3] - (1751*s[4])/2 - 
       (21991*s[5])/22 - (32215*s[6])/11 - (7391267*s[7])/396 + 
       (355429*s[8])/297 + (846271*s[9])/54 + (272519*s[10])/54 + 
       (8081621*s[11])/396 + (2166988*s[12])/99 + (1746125*s[13])/132 + 
       (1825205*s[14])/396 + (292813*s[15])/12 + (1039981*s[16])/33 + 
       (10130785*s[17])/396 + (684023*s[18])/162 + (308413*s[19])/162 + 
       (67711243*s[20])/1782 + (53383265*s[21])/3564 - 
       (34174495*s[22])/3564 - (1357343*s[23])/66 - (34964243*s[24])/1782 + 
       (799354937*s[25])/32076 - (483533741*s[26])/32076 + 8*s[30] - 
       28*s[31] + 8*s[32] + 18*s[33] + 12*s[34] - 42*s[35] - (163*s[36])/3 + 
       (80*s[37])/3 - 520*s[38] + (8411*s[39])/4 - (30053*s[40])/12 + 
       (7691*s[41])/4 - (35089*s[42])/12 - (320263*s[43])/132 + 
       (569237*s[44])/264 - (205223*s[45])/66 + (2826467*s[46])/132 - 
       (258529*s[47])/792 - (1163455*s[48])/792 + (7619875*s[49])/792 - 
       (509398*s[50])/33 - (1547519*s[51])/792 - (1446791*s[52])/792 + 
       (4423483*s[53])/396 - (64210*s[54])/33 + (19076621*s[55])/264 + 
       (5712595*s[56])/264 - (2918387*s[57])/198 + (25790195*s[58])/792 - 
       (2856717*s[59])/88 - (817879489*s[60])/4752 + (230603015*s[61])/
        21384 + 14*s[68] - 26*s[69] + 12*s[71] + 72*s[73] - 12*s[74] + 
       12*s[75] + 52*s[76] + 30*s[77] - 70*s[78] - 204*s[79] + 
       (478*s[80])/3 - 200*s[82] - 160*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((-913*s[2])/2 + (3*s[3])/4 - (66371*s[4])/16 - (68425*s[5])/16 - 
       (143327*s[6])/16 - (4020263*s[7])/48 + (2318159*s[8])/432 + 
       (30668663*s[9])/432 + (11018041*s[10])/432 + (26434775*s[11])/288 + 
       (27979675*s[12])/288 + (8368177*s[13])/144 + (1004609*s[14])/72 + 
       (16756975*s[15])/144 + (20973007*s[16])/144 + (34399289*s[17])/288 + 
       (17687491*s[18])/1296 + (21422597*s[19])/1296 + 
       (109992947*s[20])/648 + (81885157*s[21])/1296 - 
       (57074495*s[22])/1296 - (22200613*s[23])/288 - 
       (252300949*s[24])/2592 + (2662790885*s[25])/23328 - 
       (1499233625*s[26])/23328 - 10*s[29] + (101*s[30])/4 - (219*s[31])/2 + 
       (175*s[32])/2 - (129*s[33])/16 + (765*s[34])/4 - (37*s[35])/2 + 
       (1299*s[36])/4 - (476*s[37])/3 - (5495*s[38])/2 + (151701*s[39])/16 - 
       (169417*s[40])/16 + (132805*s[41])/16 - (201161*s[42])/16 - 
       (1845823*s[43])/176 + (3471381*s[44])/352 - (3235975*s[45])/264 + 
       (46181357*s[46])/528 - (855703*s[47])/1056 - (5541373*s[48])/1056 + 
       (50953777*s[49])/1056 - (6037923*s[50])/88 - (2699971*s[51])/352 - 
       (6433463*s[52])/1056 + (76231411*s[53])/1584 + (194576*s[54])/33 + 
       (326169361*s[55])/1056 + (235346593*s[56])/3168 - 
       (87043549*s[57])/2376 + (3535696643*s[58])/28512 - 
       (3751977281*s[59])/28512 - (1580491697*s[60])/2112 + 
       (9533974301*s[61])/256608 - 2*s[65] - 12*s[66] + 12*s[67] + 74*s[68] - 
       114*s[69] - (43*s[70])/2 + (7*s[71])/2 + 29*s[72] + 337*s[73] - 
       23*s[74] + 23*s[75] + 209*s[76] + (207*s[77])/2 - (409*s[78])/2 - 
       457*s[79] + (451*s[80])/6 - (6297*s[82])/2 - (45*s[83])/2 - 
       105*s[84] - 158*s[85])*\[Zeta][2] + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v]*(587*s[2] - (347*s[3])/2 + (19255*s[4])/4 + 
       (62202*s[5])/11 + (399381*s[6])/44 + (80700893*s[7])/792 - 
       (2340251*s[8])/396 - (784096*s[9])/9 - (297260*s[10])/9 - 
       (29173621*s[11])/264 - (7516291*s[12])/66 - (53399737*s[13])/792 - 
       (4473013*s[14])/264 - (10771271*s[15])/72 - (35869789*s[16])/198 - 
       (122406485*s[17])/792 - (377137*s[18])/27 - (2613827*s[19])/108 - 
       (248947709*s[20])/1188 - (61374349*s[21])/792 + 
       (128216335*s[22])/2376 + (7905742*s[23])/99 + (73571305*s[24])/594 - 
       (121944970*s[25])/891 + (136798985*s[26])/1782 + 20*s[29] - 30*s[30] + 
       120*s[31] - 134*s[32] + 87*s[33] - 370*s[34] - 98*s[35] - 
       (2479*s[36])/3 + 261*s[37] + 3611*s[38] - (48373*s[39])/4 + 
       (155851*s[40])/12 - (42843*s[41])/4 + (187985*s[42])/12 + 
       (1837841*s[43])/132 - (3382747*s[44])/264 + (173160*s[45])/11 - 
       (14924807*s[46])/132 - (68443*s[47])/792 + (5140079*s[48])/792 - 
       (53198351*s[49])/792 + (3071450*s[50])/33 + (6885259*s[51])/792 + 
       (4806025*s[52])/792 - (13113647*s[53])/198 - (552851*s[54])/33 - 
       (37058607*s[55])/88 - (68660981*s[56])/792 + (4660691*s[57])/594 - 
       (1047561019*s[58])/7128 + (1184876017*s[59])/7128 + 
       (4740000941*s[60])/4752 - (2817542707*s[61])/64152 + 4*s[65] + 
       16*s[66] - 24*s[67] - 144*s[68] + 216*s[69] + 28*s[70] + 12*s[71] - 
       44*s[72] - 434*s[73] + 21*s[74] - 21*s[75] - 272*s[76] - 170*s[77] + 
       270*s[78] - 20*s[79] + 544*s[80] + 4616*s[82] - 3*s[83] + 42*s[84] - 
       152*s[85])*\[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*
      (43*s[2] - (388*s[3])/3 - (2947*s[4])/12 - (107797*s[5])/264 - 
       (236765*s[6])/264 - (2109680*s[7])/297 + (388411*s[8])/792 + 
       (436207*s[9])/72 + (160333*s[10])/72 + (2913089*s[11])/396 + 
       (980663*s[12])/132 + (5018353*s[13])/1188 + (945647*s[14])/396 + 
       (2248807*s[15])/216 + (14881303*s[16])/1188 + (26287381*s[17])/2376 + 
       (952673*s[18])/648 + (292061*s[19])/324 + (56797085*s[20])/3564 + 
       (42882881*s[21])/7128 - (4378631*s[22])/1188 - (13137661*s[23])/2376 - 
       (19055585*s[24])/2376 + (1131369769*s[25])/128304 - 
       (703369261*s[26])/128304 - 4*s[29] + (8*s[30])/3 + (38*s[31])/3 - 
       (29*s[32])/2 - (31*s[33])/4 - (65*s[34])/3 + 24*s[35] + 
       (299*s[36])/18 - (767*s[37])/36 - (367*s[38])/6 + (4179*s[39])/8 - 
       (46679*s[40])/72 + (13567*s[41])/24 - (57553*s[42])/72 - 
       (514861*s[43])/792 + (996023*s[44])/1584 - (1243387*s[45])/792 + 
       (1826375*s[46])/198 - (241099*s[47])/4752 - (1652509*s[48])/4752 + 
       (13877713*s[49])/4752 - (735995*s[50])/99 - (2957057*s[51])/4752 - 
       (1865981*s[52])/4752 + (13080469*s[53])/2376 + (6742*s[54])/99 + 
       (19269709*s[55])/528 + (15000541*s[56])/1584 + (1889071*s[57])/1188 + 
       (57648211*s[58])/4752 - (59100011*s[59])/4752 - 
       (2233487845*s[60])/28512 + (78803455*s[61])/16038 - 8*s[66] + 
       10*s[67] - 10*s[68] + 30*s[69] - 16*s[70] - (3*s[71])/2 + 2*s[72] - 
       (133*s[73])/3 + s[74] - s[75] - 8*s[76] - (2*s[77])/3 + (65*s[78])/3 - 
       60*s[79] - (383*s[80])/18 - 822*s[82] + 4*s[83] - 72*s[84] - 
       144*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*
      (-199*s[2] + (523*s[3])/6 - (11848*s[4])/3 - (866617*s[5])/264 - 
       (1977179*s[6])/264 - (163508503*s[7])/2376 + (1376971*s[8])/264 + 
       (4204889*s[9])/72 + (148939*s[10])/8 + (59833051*s[11])/792 + 
       (1800977*s[12])/22 + (116674337*s[13])/2376 + (7353697*s[14])/792 + 
       (4994149*s[15])/54 + (69267827*s[16])/594 + (108433487*s[17])/1188 + 
       (8102663*s[18])/648 + (3425819*s[19])/324 + (488889689*s[20])/3564 + 
       (180262843*s[21])/3564 - (3192973*s[22])/88 - (182646463*s[23])/2376 - 
       (179079433*s[24])/2376 + (12231102709*s[25])/128304 - 
       (6803629597*s[26])/128304 - (13*s[30])/3 - (220*s[31])/3 + 39*s[32] - 
       (31*s[33])/4 + (388*s[34])/3 + 28*s[35] + (2260*s[36])/9 - 
       (2252*s[37])/9 - (7661*s[38])/3 + 9755*s[39] - (97321*s[40])/9 + 
       (51397*s[41])/6 - (246901*s[42])/18 - (83017*s[43])/9 + 
       (667391*s[44])/72 - (91699*s[45])/9 + (710552*s[46])/9 - 
       (547861*s[47])/216 - (485845*s[48])/216 + (9060919*s[49])/216 - 
       (1098839*s[50])/18 - (1943741*s[51])/216 - (1568183*s[52])/216 + 
       (2306087*s[53])/54 + (6245*s[54])/9 + (6489373*s[55])/24 + 
       (550255*s[56])/8 - (6429863*s[57])/108 + (77248087*s[58])/648 - 
       (79962769*s[59])/648 - (847399309*s[60])/1296 + (21701891*s[61])/648 + 
       8*s[66] - 8*s[67] + 38*s[68] - 84*s[69] + 12*s[70] + 8*s[71] - 
       28*s[72] + (452*s[73])/3 + 25*s[74] - 25*s[75] + 126*s[76] + 
       (112*s[77])/3 - (448*s[78])/3 - 728*s[79] + (1070*s[80])/9 - 
       716*s[82] + 4*s[83] - 240*s[84] - 136*s[85])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*((-4973*s[2])/8 - 
       (1307*s[3])/16 - (227767*s[4])/32 - (514263*s[5])/88 - 
       (4836107*s[6])/352 - (265639999*s[7])/2112 + (79539205*s[8])/9504 + 
       (45869707*s[9])/432 + (15872435*s[10])/432 + (878081845*s[11])/6336 + 
       (469596625*s[12])/3168 + (567359173*s[13])/6336 + 
       (112991911*s[14])/6336 + (99600371*s[15])/576 + 
       (344266051*s[16])/1584 + (1109496331*s[17])/6336 + 
       (6450095*s[18])/324 + (64090319*s[19])/2592 + (7152044627*s[20])/
        28512 + (5239686709*s[21])/57024 - (3768100337*s[22])/57024 - 
       (390111445*s[23])/3168 - (4139492623*s[24])/28512 + 
       (11193407795*s[25])/64152 - (12359965297*s[26])/128304 + 
       (37*s[30])/2 - (391*s[31])/2 + (439*s[32])/4 - (749*s[33])/16 + 
       (657*s[34])/2 - (227*s[35])/4 + (3125*s[36])/6 - (6049*s[37])/24 - 
       (18807*s[38])/4 + (253385*s[39])/16 - (847075*s[40])/48 + 
       (223835*s[41])/16 - (1003259*s[42])/48 - (9286373*s[43])/528 + 
       (17183053*s[44])/1056 - (10331705*s[45])/528 + (37546277*s[46])/264 - 
       (3892091*s[47])/3168 - (27551837*s[48])/3168 + 
       (254423657*s[49])/3168 - (29459383*s[50])/264 - 
       (40305505*s[51])/3168 - (32522107*s[52])/3168 + 
       (123727733*s[53])/1584 + (2486057*s[54])/264 + 
       (528244859*s[55])/1056 + (125849237*s[56])/1056 - (6090860*s[57])/99 + 
       (637371529*s[58])/3168 - (75606639*s[59])/352 - 
       (23152148489*s[60])/19008 + (5071440805*s[61])/85536 - 3*s[65] - 
       28*s[66] + 20*s[67] + 140*s[68] - 198*s[69] - (35*s[70])/2 + 
       (31*s[71])/2 + (83*s[72])/2 + (1209*s[73])/2 - (347*s[74])/8 + 
       (347*s[75])/8 + (797*s[76])/2 + (709*s[77])/4 - 355*s[78] - 
       928*s[79] + (845*s[80])/12 - 4151*s[82] - (123*s[83])/4 - 
       (165*s[84])/2 - 130*s[85])*\[Zeta][2] + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*((-5469*s[2])/8 + (3303*s[3])/16 - 
       (206575*s[4])/32 - (1186001*s[5])/176 - (4953617*s[6])/352 - 
       (826631785*s[7])/6336 + (76987805*s[8])/9504 + (23988289*s[9])/216 + 
       (16883839*s[10])/432 + (906431993*s[11])/6336 + 
       (480410111*s[12])/3168 + (577005085*s[13])/6336 + 
       (140209511*s[14])/6336 + (104017895*s[15])/576 + 
       (357759331*s[16])/1584 + (389839741*s[17])/2112 + 
       (6970441*s[18])/324 + (64499743*s[19])/2592 + (7532821237*s[20])/
        28512 + (5634050513*s[21])/57024 - (3921674821*s[22])/57024 - 
       (384533461*s[23])/3168 - (4295722889*s[24])/28512 + 
       (11403723907*s[25])/64152 - (6448749661*s[26])/64152 - 30*s[29] + 
       (145*s[30])/4 - 191*s[31] + (243*s[32])/2 + (49*s[33])/8 + 
       (1347*s[34])/4 - (227*s[35])/4 + (3125*s[36])/6 - (6049*s[37])/24 - 
       (18807*s[38])/4 + (253385*s[39])/16 - (847075*s[40])/48 + 
       (223835*s[41])/16 - (1003259*s[42])/48 - (9286373*s[43])/528 + 
       (17183053*s[44])/1056 - (10331705*s[45])/528 + (37546277*s[46])/264 - 
       (3892091*s[47])/3168 - (27551837*s[48])/3168 + 
       (254423657*s[49])/3168 - (29459383*s[50])/264 - 
       (40305505*s[51])/3168 - (32522107*s[52])/3168 + 
       (123727733*s[53])/1584 + (2486057*s[54])/264 + 
       (528244859*s[55])/1056 + (125849237*s[56])/1056 - (6090860*s[57])/99 + 
       (637371529*s[58])/3168 - (75606639*s[59])/352 - 
       (23152148489*s[60])/19008 + (5071440805*s[61])/85536 - 3*s[65] - 
       28*s[66] + 20*s[67] + 140*s[68] - 198*s[69] - (35*s[70])/2 + 
       (31*s[71])/2 + (83*s[72])/2 + (1209*s[73])/2 - (347*s[74])/8 + 
       (347*s[75])/8 + (797*s[76])/2 + (709*s[77])/4 - 355*s[78] - 
       928*s[79] + (845*s[80])/12 - 4151*s[82] - (123*s[83])/4 - 
       (165*s[84])/2 - 130*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*((-683*s[2])/12 - (83*s[3])/2 - 
       (4163*s[4])/4 - (50417*s[5])/33 - (2956981*s[6])/1056 - 
       (240203333*s[7])/9504 + (16397869*s[8])/9504 + (18736187*s[9])/864 + 
       (3166307*s[10])/432 + (172625381*s[11])/6336 + 
       (181786637*s[12])/6336 + (80420093*s[13])/4752 + 
       (16776607*s[14])/3168 + (30283121*s[15])/864 + 
       (103150771*s[16])/2376 + (681018757*s[17])/19008 + 
       (12806039*s[18])/2592 + (9453079*s[19])/2592 + 
       (1497095827*s[20])/28512 + (47969467*s[21])/2376 - 
       (94759783*s[22])/7128 - (475406857*s[23])/19008 - 
       (1591711883*s[24])/57024 + (5716306273*s[25])/171072 - 
       (3369945379*s[26])/171072 - 8*s[29] + 10*s[30] - (45*s[31])/2 + 
       (143*s[32])/12 + (77*s[33])/12 + (175*s[34])/6 + (43*s[35])/3 + 
       (802*s[36])/9 - (9641*s[37])/72 - (2479*s[38])/3 + (35569*s[39])/12 - 
       (118015*s[40])/36 + (19737*s[41])/8 - (293983*s[42])/72 - 
       (103945*s[43])/36 + (197123*s[44])/72 - (594071*s[45])/144 + 
       (1330139*s[46])/48 - (713467*s[47])/864 - (489559*s[48])/864 + 
       (11003719*s[49])/864 - (3051343*s[50])/144 - (2353877*s[51])/864 - 
       (127373*s[52])/54 + (2183849*s[53])/144 + (1571*s[54])/24 + 
       (9424579*s[55])/96 + (22265705*s[56])/864 - (2775779*s[57])/162 + 
       (325556137*s[58])/7776 - (333336385*s[59])/7776 - 
       (1188762559*s[60])/5184 + (891795415*s[61])/69984 - s[65] - 4*s[66] + 
       6*s[67] - (2*s[68])/3 + (31*s[69])/3 + (3*s[71])/4 + 4*s[72] + 
       15*s[73] - s[74]/12 + s[75]/12 + (98*s[76])/3 - (29*s[77])/3 - 
       (71*s[78])/3 - (451*s[79])/3 - (701*s[80])/36 - (2276*s[82])/3 + 
       (3*s[83])/2 - 105*s[84] - (370*s[85])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      (-359*s[2] + (373*s[3])/4 - (34341*s[4])/16 - (498933*s[5])/176 - 
       (1075875*s[6])/176 - (40778543*s[7])/792 + (12046511*s[8])/4752 + 
       (18963865*s[9])/432 + (7204013*s[10])/432 + (177628841*s[11])/3168 + 
       (183661675*s[12])/3168 + (4596343*s[13])/132 + (18609361*s[14])/1584 + 
       (581585*s[15])/8 + (47669351*s[16])/528 + (243944683*s[17])/3168 + 
       (10802813*s[18])/1296 + (13694851*s[19])/1296 + 
       (757653059*s[20])/7128 + (36013777*s[21])/891 - 
       (192487003*s[22])/7128 - (41504803*s[23])/1056 - 
       (1748478229*s[24])/28512 + (17535676619*s[25])/256608 - 
       (10214297615*s[26])/256608 - 24*s[29] + (121*s[30])/4 - 
       (183*s[31])/2 + (265*s[32])/4 + (295*s[33])/16 + (497*s[34])/4 - 
       (111*s[35])/2 + (365*s[36])/3 + (133*s[37])/12 - (3241*s[38])/2 + 
       (38551*s[39])/8 - (133477*s[40])/24 + (35813*s[41])/8 - 
       (137933*s[42])/24 - (1863113*s[43])/264 + (3015583*s[44])/528 - 
       (2284399*s[45])/264 + (1245995*s[46])/22 + (492949*s[47])/396 - 
       (4752505*s[48])/792 + (24426883*s[49])/792 - (11724557*s[50])/264 - 
       (312196*s[51])/99 - (4103437*s[52])/1584 + (698177*s[53])/22 + 
       (204049*s[54])/44 + (54536359*s[55])/264 + (38670911*s[56])/792 + 
       (687949*s[57])/594 + (521775517*s[58])/7128 - (568612237*s[59])/7128 - 
       (295506455*s[60])/594 + (3173161433*s[61])/128304 - 8*s[65] - 
       32*s[66] + 48*s[67] + 100*s[68] - 64*s[69] - 21*s[70] + (41*s[71])/2 + 
       65*s[72] + 336*s[73] - (245*s[74])/4 + (245*s[75])/4 + 211*s[76] + 
       (201*s[77])/2 - 183*s[78] - 296*s[79] + (511*s[80])/6 - 2209*s[82] - 
       12*s[83] + 12*s[84] - 120*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u]*((-817*s[2])/6 - (153*s[3])/2 - 
       (1753*s[4])/8 - (360611*s[5])/528 - (357917*s[6])/176 - 
       (50847949*s[7])/4752 + (318139*s[8])/1584 + (1294333*s[9])/144 + 
       (537895*s[10])/144 + (18428953*s[11])/1584 + (1024703*s[12])/88 + 
       (33739547*s[13])/4752 + (7005631*s[14])/1584 + (1598917*s[15])/108 + 
       (11336605*s[16])/594 + (41256563*s[17])/2376 + (3065747*s[18])/1296 + 
       (124072*s[19])/81 + (164879813*s[20])/7128 + (70113823*s[21])/7128 - 
       (25804843*s[22])/4752 - (32106817*s[23])/4752 - 
       (58751861*s[24])/4752 + (3387117475*s[25])/256608 - 
       (2297087119*s[26])/256608 + (113*s[30])/6 - (121*s[31])/3 + 
       (65*s[32])/3 + (155*s[33])/24 + (119*s[34])/3 - 31*s[35] - 
       (185*s[36])/9 + (1957*s[37])/18 - (1175*s[38])/6 + (3437*s[39])/6 - 
       (14321*s[40])/18 + (8105*s[41])/12 - (19961*s[42])/36 - 
       (292177*s[43])/198 + (812065*s[44])/792 - (783589*s[45])/396 + 
       (520571*s[46])/44 + (1809421*s[47])/2376 - (5262479*s[48])/2376 + 
       (13927535*s[49])/2376 - (3420881*s[50])/396 - (179275*s[51])/2376 - 
       (641545*s[52])/2376 + (851185*s[53])/132 + (6113*s[54])/44 + 
       (33946499*s[55])/792 + (28752265*s[56])/2376 + (5443805*s[57])/1782 + 
       (314648303*s[58])/21384 - (338003753*s[59])/21384 - 
       (1451155487*s[60])/14256 + (605658151*s[61])/96228 - 4*s[67] + 
       (77*s[68])/3 - (160*s[69])/3 - 4*s[70] + 11*s[71] + 12*s[72] + 
       118*s[73] - 22*s[74] + 22*s[75] + (235*s[76])/3 + 42*s[77] - 
       (260*s[78])/3 + (100*s[79])/3 + (511*s[80])/9 - 618*s[82] - 12*s[83] + 
       72*s[84] - 116*s[85])*\[Zeta][2] + HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*((-281*s[2])/2 - (695*s[3])/4 - 
       (6987*s[4])/8 - 759*s[5] - (20783*s[6])/8 - (2378599*s[7])/144 + 
       (213497*s[8])/216 + (364654*s[9])/27 + (569363*s[10])/108 + 
       (2563229*s[11])/144 + (659743*s[12])/36 + (1572379*s[13])/144 + 
       (611585*s[14])/144 + (3344923*s[15])/144 + (1049881*s[16])/36 + 
       (1227793*s[17])/48 + (501529*s[18])/162 + (1956407*s[19])/648 + 
       (21820645*s[20])/648 + (16679375*s[21])/1296 - (10724107*s[22])/1296 - 
       (521189*s[23])/36 - (3079223*s[24])/162 + (126790615*s[25])/5832 - 
       (75317743*s[26])/5832 + 4*s[30] - 30*s[31] + 22*s[32] + 
       (153*s[33])/4 + 4*s[34] - 57*s[35] - 45*s[36] + (653*s[37])/6 - 
       308*s[38] + 1285*s[39] - 1604*s[40] + 1382*s[41] - (3193*s[42])/2 - 
       (24971*s[43])/11 + (150825*s[44])/88 - (399425*s[45])/132 + 
       (2522363*s[46])/132 + (52999*s[47])/88 - (209065*s[48])/88 + 
       (805659*s[49])/88 - (316221*s[50])/22 - (222815*s[51])/264 - 
       (64211*s[52])/88 + (2148911*s[53])/198 - (1361*s[54])/66 + 
       (18553891*s[55])/264 + (14632621*s[56])/792 + (3459145*s[57])/1188 + 
       (170901029*s[58])/7128 - (183995327*s[59])/7128 - 
       (255692705*s[60])/1584 + (612921065*s[61])/64152 - 3*s[65] - 2*s[66] + 
       18*s[67] + 40*s[68] - 54*s[69] + 2*s[70] + 15*s[71] + 18*s[72] + 
       126*s[73] - (51*s[74])/2 + (51*s[75])/2 + 100*s[76] + 39*s[77] - 
       162*s[78] - 36*s[79] + (203*s[80])/3 - 632*s[82] - 112*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-393*s[2])/2 - (107*s[3])/4 - (3605*s[4])/8 - (55247*s[5])/44 - 
       (259021*s[6])/88 - (29250637*s[7])/1584 + (472825*s[8])/792 + 
       (284699*s[9])/18 + (110467*s[10])/18 + (10379681*s[11])/528 + 
       (1289839*s[12])/66 + (18358049*s[13])/1584 + (3607181*s[14])/528 + 
       (3812179*s[15])/144 + (6458743*s[16])/198 + (47016973*s[17])/1584 + 
       (105370*s[18])/27 + (576253*s[19])/216 + (94769773*s[20])/2376 + 
       (2880981*s[21])/176 - (45122423*s[22])/4752 - (2499539*s[23])/198 - 
       (24977507*s[24])/1188 + (161989921*s[25])/7128 - 
       (105934573*s[26])/7128 - 10*s[29] + 13*s[30] - 64*s[31] + 28*s[32] - 
       7*s[33] + 63*s[34] - 57*s[35] - 45*s[36] + (653*s[37])/6 - 308*s[38] + 
       1285*s[39] - 1604*s[40] + 1382*s[41] - (3193*s[42])/2 - 
       (24971*s[43])/11 + (150825*s[44])/88 - (399425*s[45])/132 + 
       (2522363*s[46])/132 + (52999*s[47])/88 - (209065*s[48])/88 + 
       (805659*s[49])/88 - (316221*s[50])/22 - (222815*s[51])/264 - 
       (64211*s[52])/88 + (2148911*s[53])/198 - (1361*s[54])/66 + 
       (18553891*s[55])/264 + (14632621*s[56])/792 + (3459145*s[57])/1188 + 
       (170901029*s[58])/7128 - (183995327*s[59])/7128 - 
       (255692705*s[60])/1584 + (612921065*s[61])/64152 - 3*s[65] - 2*s[66] + 
       18*s[67] + 40*s[68] - 54*s[69] + 2*s[70] + 15*s[71] + 18*s[72] + 
       126*s[73] - (51*s[74])/2 + (51*s[75])/2 + 100*s[76] + 39*s[77] - 
       162*s[78] - 36*s[79] + (203*s[80])/3 - 632*s[82] - 112*s[85])*
      \[Zeta][2] + HPL[{0, 0, 0, 0, 1}, 1 - u]*(-212*s[2] - 70*s[3] - 
       1729*s[4] - (34131*s[5])/22 - (89449*s[6])/22 - (1085377*s[7])/33 + 
       (1253621*s[8])/594 + (1494433*s[9])/54 + (522953*s[10])/54 + 
       (7144237*s[11])/198 + (7605809*s[12])/198 + (2292788*s[13])/99 + 
       (594515*s[14])/99 + (807011*s[15])/18 + (5603684*s[16])/99 + 
       (4581023*s[17])/99 + (464575*s[18])/81 + (474524*s[19])/81 + 
       (58986320*s[20])/891 + (44058679*s[21])/1782 - (15242119*s[22])/891 - 
       (6197813*s[23])/198 - (33355462*s[24])/891 + (1438094717*s[25])/
        32076 - (816739145*s[26])/32076 + 4*s[30] - 56*s[31] + 25*s[32] + 
       5*s[33] + 64*s[34] - 48*s[35] + 56*s[36] + (340*s[37])/3 - 
       1108*s[38] + 3846*s[39] - 4330*s[40] + 3554*s[41] - 5156*s[42] - 
       (48966*s[43])/11 + (43458*s[44])/11 - (165401*s[45])/33 + 
       (1203509*s[46])/33 - (11632*s[47])/33 - (82582*s[48])/33 + 
       (647398*s[49])/33 - (309110*s[50])/11 - (36556*s[51])/11 - 
       (89102*s[52])/33 + (1958191*s[53])/99 + (30164*s[54])/33 + 
       (4175674*s[55])/33 + (3148448*s[56])/99 - (4571381*s[57])/297 + 
       (45922837*s[58])/891 - (48145018*s[59])/891 - (60997175*s[60])/198 + 
       (257364209*s[61])/16038 - 64*s[63] + 20*s[68] - 44*s[69] + 12*s[71] + 
       144*s[73] - 12*s[74] + 12*s[75] + 112*s[76] + 36*s[77] - 128*s[78] - 
       208*s[79] + (212*s[80])/3 - 632*s[82] - 112*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*(-180*s[2] - 94*s[3] - 
       1650*s[4] - (35941*s[5])/22 - (92417*s[6])/22 - (1073443*s[7])/33 + 
       (1242713*s[8])/594 + (1478125*s[9])/54 + (511181*s[10])/54 + 
       (7027777*s[11])/198 + (7447733*s[12])/198 + (2237438*s[13])/99 + 
       (639137*s[14])/99 + (801749*s[15])/18 + (5550989*s[16])/99 + 
       (4575227*s[17])/99 + (973457*s[18])/162 + (429326*s[19])/81 + 
       (58715861*s[20])/891 + (44501425*s[21])/1782 - (15036622*s[22])/891 - 
       (3178543*s[23])/99 - (32454175*s[24])/891 + (1409059457*s[25])/32076 - 
       (814504841*s[26])/32076 + 4*s[30] - 56*s[31] + 28*s[32] + 5*s[33] + 
       64*s[34] - 48*s[35] + 56*s[36] + (34*s[37])/3 - 1004*s[38] + 
       3738*s[39] - 4258*s[40] + 3396*s[41] - 5064*s[42] - (47070*s[43])/11 + 
       (42532*s[44])/11 - (166607*s[45])/33 + (1186583*s[46])/33 - 
       (11254*s[47])/33 - (76792*s[48])/33 + (613462*s[49])/33 - 
       (301468*s[50])/11 - (104174*s[51])/33 - (87842*s[52])/33 + 
       (1946167*s[53])/99 + (6266*s[54])/33 + (4150966*s[55])/33 + 
       (3215948*s[56])/99 - (4792808*s[57])/297 + (45714991*s[58])/891 - 
       (47896996*s[59])/891 - (59424965*s[60])/198 + (261076601*s[61])/
        16038 + 32*s[68] - 64*s[69] + 12*s[71] + 144*s[73] - 12*s[74] + 
       12*s[75] + 112*s[76] + 48*s[77] - 128*s[78] - 208*s[79] + 
       (212*s[80])/3 - 632*s[82] - 112*s[85])*\[Zeta][2] + 
     HPL[{0, 0, 0, 0, 1}, 1 - v]*(-45*s[2] - 94*s[3] - 1702*s[4] - 
       (19106*s[5])/11 - (46072*s[6])/11 - (2195713*s[7])/66 + 
       (24337*s[8])/11 + (55853*s[9])/2 + 9804*s[10] + (399979*s[11])/11 + 
       (423758*s[12])/11 + (761938*s[13])/33 + (70577*s[14])/11 + 
       (91595*s[15])/2 + (3799637*s[16])/66 + (1572302*s[17])/33 + 
       (53800*s[18])/9 + (53534*s[19])/9 + (6656393*s[20])/99 + 
       (2546650*s[21])/99 - (189206*s[22])/11 - (2126269*s[23])/66 - 
       (832297*s[24])/22 + (80073047*s[25])/1782 - (46630919*s[26])/1782 + 
       4*s[30] + 34*s[31] + 28*s[32] + (265*s[33])/2 - 32*s[34] - 16*s[35] + 
       (250*s[36])/3 + (170*s[37])/3 - 1090*s[38] + (7733*s[39])/2 - 
       (26327*s[40])/6 + (7065*s[41])/2 - (31177*s[42])/6 - 
       (296557*s[43])/66 + (527051*s[44])/132 - (339041*s[45])/66 + 
       (404697*s[46])/11 - (126241*s[47])/396 - (977707*s[48])/396 + 
       (7779655*s[49])/396 - (933842*s[50])/33 - (1293191*s[51])/396 - 
       (1077221*s[52])/396 + (663371*s[53])/33 + (11008*s[54])/11 + 
       (17000125*s[55])/132 + (12854657*s[56])/396 - (9470881*s[57])/594 + 
       (186358573*s[58])/3564 - (196705765*s[59])/3564 - 
       (735721555*s[60])/2376 + (264162341*s[61])/16038 + 26*s[68] - 
       70*s[69] + 12*s[71] + 144*s[73] - 12*s[74] + 12*s[75] + 22*s[76] + 
       42*s[77] - 116*s[78] - 184*s[79] + (358*s[80])/3 - 632*s[82] - 
       112*s[85])*\[Zeta][2] + HPL[{0, 0, 0, 0, 1}, 1 - w]*
      (-180*s[2] - 76*s[3] - (3433*s[4])/2 - (35495*s[5])/22 - 
       (45225*s[6])/11 - (13168591*s[7])/396 + (642095*s[8])/297 + 
       (1511837*s[9])/54 + (529561*s[10])/54 + (14419099*s[11])/396 + 
       (7660171*s[12])/198 + (3077177*s[13])/132 + (2410609*s[14])/396 + 
       (181899*s[15])/4 + (630906*s[16])/11 + (18611027*s[17])/396 + 
       (957289*s[18])/162 + (939599*s[19])/162 + (119555969*s[20])/1782 + 
       (89917453*s[21])/3564 - (61638497*s[22])/3564 - (1068277*s[23])/33 - 
       (33664001*s[24])/891 + (1450943971*s[25])/32076 - 
       (829739671*s[26])/32076 - 2*s[30] - 56*s[31] + 28*s[32] + 5*s[33] + 
       64*s[34] - 16*s[35] + (250*s[36])/3 + (170*s[37])/3 - 1090*s[38] + 
       (7733*s[39])/2 - (26327*s[40])/6 + (7065*s[41])/2 - (31177*s[42])/6 - 
       (296557*s[43])/66 + (527051*s[44])/132 - (339041*s[45])/66 + 
       (404697*s[46])/11 - (126241*s[47])/396 - (977707*s[48])/396 + 
       (7779655*s[49])/396 - (933842*s[50])/33 - (1293191*s[51])/396 - 
       (1077221*s[52])/396 + (663371*s[53])/33 + (11008*s[54])/11 + 
       (17000125*s[55])/132 + (12854657*s[56])/396 - (9470881*s[57])/594 + 
       (186358573*s[58])/3564 - (196705765*s[59])/3564 - 
       (735721555*s[60])/2376 + (264162341*s[61])/16038 + 26*s[68] - 
       70*s[69] + 12*s[71] + 144*s[73] - 12*s[74] + 12*s[75] + 22*s[76] + 
       42*s[77] - 116*s[78] - 184*s[79] + (358*s[80])/3 - 632*s[82] - 
       112*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*(-81*s[2] - 161*s[3] - 1245*s[4] - 
       (45601*s[5])/88 - (291969*s[6])/176 - (25809367*s[7])/1584 + 
       (5691067*s[8])/4752 + (5832071*s[9])/432 + (1017563*s[10])/216 + 
       (57809245*s[11])/3168 + (62915015*s[12])/3168 + 
       (18998515*s[13])/1584 + (424397*s[14])/396 + (3255719*s[15])/144 + 
       (22607663*s[16])/792 + (7830621*s[17])/352 + (1288115*s[18])/648 + 
       (329375*s[19])/81 + (453364211*s[20])/14256 + (18962965*s[21])/1782 - 
       (121571437*s[22])/14256 - (51689533*s[23])/3168 - 
       (564488975*s[24])/28512 + (6102439429*s[25])/256608 - 
       (3111890737*s[26])/256608 + 4*s[29] - 6*s[30] - 16*s[31] + 16*s[32] - 
       6*s[33] + 36*s[34] - 14*s[35] + (214*s[36])/3 - (43*s[37])/12 - 
       572*s[38] + (3487*s[39])/2 - (12353*s[40])/6 + (3243*s[41])/2 - 
       (25427*s[42])/12 - (325943*s[43])/132 + (1151165*s[44])/528 - 
       (423871*s[45])/132 + (455443*s[46])/22 + (180629*s[47])/396 - 
       (210403*s[48])/99 + (17830771*s[49])/1584 - (4345723*s[50])/264 - 
       (1888061*s[51])/1584 - (1384637*s[52])/1584 + (1021161*s[53])/88 + 
       (199405*s[54])/88 + (10046579*s[55])/132 + (28088435*s[56])/1584 + 
       (321601*s[57])/1188 + (383536513*s[58])/14256 - 
       (414628507*s[59])/14256 - (1743753763*s[60])/9504 + 
       (1149385405*s[61])/128304 - 5*s[65] - 22*s[66] + 24*s[67] + 42*s[68] - 
       4*s[69] - 12*s[70] + 5*s[71] + 28*s[72] + 92*s[73] - 20*s[74] + 
       20*s[75] + 86*s[76] + 42*s[77] - 44*s[78] - 104*s[79] - (74*s[80])/3 - 
       (2059*s[82])/2 - (15*s[83])/2 - 39*s[84] - 108*s[85])*\[Zeta][2] + 
     M1[v, w, u]*(-2*s[2] - 61*s[3] - 48*s[4] - (7265*s[5])/44 - 
       (35147*s[6])/44 - (246943*s[7])/99 + (170287*s[8])/1188 + 
       (220589*s[9])/108 + (53263*s[10])/108 + (266495*s[11])/99 + 
       (586985*s[12])/198 + (182302*s[13])/99 + (286951*s[14])/198 + 
       (92855*s[15])/36 + (758939*s[16])/198 + (135279*s[17])/44 + 
       (352069*s[18])/324 - (39808*s[19])/81 + (4770734*s[20])/891 + 
       (8966555*s[21])/3564 - (1057114*s[22])/891 - (1429589*s[23])/396 - 
       (6523543*s[24])/3564 + (191845039*s[25])/64152 - 
       (151063303*s[26])/64152 + 2*s[30] - 3*s[32] + (31*s[33])/2 - 
       20*s[34] - 24*s[35] - (182*s[36])/3 + 27*s[37] - 23*s[38] + 
       199*s[39] - (979*s[40])/3 + (409*s[41])/2 - (1921*s[42])/6 - 
       (10337*s[43])/33 + (6989*s[44])/33 - (12631*s[45])/22 + 
       (218863*s[46])/66 - (31855*s[47])/396 - (142999*s[48])/396 + 
       (196369*s[49])/396 - (59372*s[50])/33 - (121073*s[51])/396 - 
       (41570*s[52])/99 + (137959*s[53])/99 - (111983*s[54])/66 + 
       (423657*s[55])/44 + (1924927*s[56])/396 - (2772785*s[57])/594 + 
       (21702911*s[58])/3564 - (18047849*s[59])/3564 - 
       (53963761*s[60])/2376 + (77706113*s[61])/32076 - 2*s[68] + 4*s[69] + 
       6*s[71] - 6*s[74] + 6*s[75] + 2*s[76] + 4*s[77] - 10*s[78] - 
       72*s[79] + 86*s[80] + 116*s[82] - 104*s[85])*\[Zeta][2] + 
     M1[u, v, w]*(-2*s[2] - 61*s[3] - 48*s[4] - (7265*s[5])/44 - 
       (35147*s[6])/44 - (246943*s[7])/99 + (170287*s[8])/1188 + 
       (220589*s[9])/108 + (53263*s[10])/108 + (266495*s[11])/99 + 
       (586985*s[12])/198 + (182302*s[13])/99 + (286951*s[14])/198 + 
       (92855*s[15])/36 + (758939*s[16])/198 + (135279*s[17])/44 + 
       (352069*s[18])/324 - (39808*s[19])/81 + (4770734*s[20])/891 + 
       (8966555*s[21])/3564 - (1057114*s[22])/891 - (1429589*s[23])/396 - 
       (6523543*s[24])/3564 + (191845039*s[25])/64152 - 
       (151063303*s[26])/64152 + 2*s[30] - 3*s[32] + (31*s[33])/2 - 
       20*s[34] - 24*s[35] - (196*s[36])/3 + 19*s[37] - 8*s[38] + 90*s[39] - 
       (578*s[40])/3 + 88*s[41] - (460*s[42])/3 - (6034*s[43])/33 + 
       (5099*s[44])/66 - (11665*s[45])/22 + (172037*s[46])/66 - 
       (8201*s[47])/99 - (29519*s[48])/99 - (10333*s[49])/99 - 
       (39172*s[50])/33 - (20275*s[51])/99 - (70979*s[52])/198 + 
       (194437*s[53])/198 - (58550*s[54])/33 + (239713*s[55])/33 + 
       (446444*s[56])/99 - (1327025*s[57])/297 + (9322259*s[58])/1782 - 
       (3602167*s[59])/891 - (19486759*s[60])/1188 + (71249275*s[61])/32076 - 
       4*s[68] + 8*s[69] + 6*s[71] - 6*s[74] + 6*s[75] + 4*s[76] - 8*s[78] - 
       72*s[79] + 86*s[80] + 116*s[82] - 104*s[85])*\[Zeta][2] + 
     M1[w, u, v]*(-2*s[2] - 61*s[3] - 48*s[4] - (7265*s[5])/44 - 
       (35147*s[6])/44 - (246943*s[7])/99 + (170287*s[8])/1188 + 
       (220589*s[9])/108 + (53263*s[10])/108 + (266495*s[11])/99 + 
       (586985*s[12])/198 + (182302*s[13])/99 + (286951*s[14])/198 + 
       (92855*s[15])/36 + (758939*s[16])/198 + (135279*s[17])/44 + 
       (352069*s[18])/324 - (39808*s[19])/81 + (4770734*s[20])/891 + 
       (8966555*s[21])/3564 - (1057114*s[22])/891 - (1429589*s[23])/396 - 
       (6523543*s[24])/3564 + (191845039*s[25])/64152 - 
       (151063303*s[26])/64152 + 2*s[30] - 3*s[32] + (31*s[33])/2 - 
       20*s[34] - 24*s[35] - (197*s[36])/3 + 37*s[37] + 11*s[38] + 
       (575*s[39])/4 - (3385*s[40])/12 + (729*s[41])/4 - (3167*s[42])/12 - 
       (35483*s[43])/132 + (49717*s[44])/264 - (6258*s[45])/11 + 
       (423377*s[46])/132 - (40859*s[47])/792 - (303737*s[48])/792 + 
       (254489*s[49])/792 - (57446*s[50])/33 - (214069*s[51])/792 - 
       (291007*s[52])/792 + (549271*s[53])/396 - (114365*s[54])/66 + 
       (2543551*s[55])/264 + (3895619*s[56])/792 - (1193770*s[57])/297 + 
       (41196853*s[58])/7128 - (33980851*s[59])/7128 - 
       (102961295*s[60])/4752 + (158118175*s[61])/64152 + 6*s[71] - 6*s[74] + 
       6*s[75] - 6*s[76] + 8*s[77] - 4*s[78] - 76*s[79] + 104*s[80] + 
       116*s[82] - 104*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1}, 1 - u]*((-353*s[2])/2 - 72*s[3] - (5397*s[4])/4 - 
       (127693*s[5])/88 - (162207*s[6])/44 - (9920329*s[7])/352 + 
       (2688511*s[8])/1584 + (3417851*s[9])/144 + (1222963*s[10])/144 + 
       (32333701*s[11])/1056 + (16951675*s[12])/528 + (20278711*s[13])/1056 + 
       (6465949*s[14])/1056 + (3752257*s[15])/96 + (25831655*s[16])/528 + 
       (43392691*s[17])/1056 + (278651*s[18])/54 + (2063705*s[19])/432 + 
       (273643589*s[20])/4752 + (208592965*s[21])/9504 - 
       (138720917*s[22])/9504 - (6958529*s[23])/264 - 
       (151565281*s[24])/4752 + (1609216019*s[25])/42768 - 
       (940534091*s[26])/42768 + 5*s[30] - 54*s[31] + (59*s[32])/2 + 
       (19*s[33])/4 + 59*s[34] - 50*s[35] + 46*s[36] + (109*s[37])/3 - 
       816*s[38] + (6005*s[39])/2 - (6917*s[40])/2 + (5581*s[41])/2 - 
       (7999*s[42])/2 - (162617*s[43])/44 + (572349*s[44])/176 - 
       (196685*s[45])/44 + (341855*s[46])/11 - (537*s[47])/176 - 
       (407581*s[48])/176 + (2813101*s[49])/176 - (524121*s[50])/22 - 
       (1287361*s[51])/528 - (358311*s[52])/176 + (4549025*s[53])/264 + 
       (5418*s[54])/11 + (58349035*s[55])/528 + (14825681*s[56])/528 - 
       (7325221*s[57])/792 + (204129997*s[58])/4752 - 
       (216503719*s[59])/4752 - (92070249*s[60])/352 + 
       (607373113*s[61])/42768 + 32*s[68] - 64*s[69] + 12*s[71] + 4*s[72] + 
       148*s[73] - 15*s[74] + 15*s[75] + 108*s[76] + 48*s[77] - 124*s[78] - 
       164*s[79] + 62*s[80] - 601*s[82] - 3*s[83] + 6*s[84] - 104*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((-149*s[2])/2 - (971*s[3])/8 - (2519*s[4])/16 - (13843*s[5])/44 - 
       (134765*s[6])/88 - (18185999*s[7])/3168 + (131561*s[8])/792 + 
       (652073*s[9])/144 + (74797*s[10])/36 + (132827*s[11])/22 + 
       (6188759*s[12])/1056 + (11081863*s[13])/3168 + (1140649*s[14])/352 + 
       (2281937*s[15])/288 + (16523921*s[16])/1584 + (16145077*s[17])/1584 + 
       (114577*s[18])/72 + (72851*s[19])/144 + (19932157*s[20])/1584 + 
       (52688951*s[21])/9504 - (25821575*s[22])/9504 - 
       (11818973*s[23])/3168 - (59023169*s[24])/9504 + 
       (564724715*s[25])/85536 - (421102877*s[26])/85536 + 6*s[30] - 
       8*s[31] + 14*s[32] + 28*s[33] - 21*s[34] - 56*s[35] - (131*s[36])/2 + 
       (1753*s[37])/12 + (81*s[38])/2 + (1117*s[39])/8 - (2893*s[40])/8 + 
       (2641*s[41])/8 - (1535*s[42])/8 - (58537*s[43])/88 + (9777*s[44])/22 - 
       (128153*s[45])/132 + (1515823*s[46])/264 + (217535*s[47])/528 - 
       (671419*s[48])/528 + (275185*s[49])/132 - (340429*s[50])/88 - 
       (23267*s[51])/264 - (37321*s[52])/264 + (1215487*s[53])/396 - 
       (289577*s[54])/264 + (3561703*s[55])/176 + (5613547*s[56])/792 + 
       (1041409*s[57])/1188 + (26318455*s[58])/3564 - (6534949*s[59])/891 - 
       (71881747*s[60])/1584 + (241426079*s[61])/64152 + 22*s[68] - 
       40*s[69] + 4*s[70] + 10*s[71] + 8*s[72] + 72*s[73] - (61*s[74])/4 + 
       (61*s[75])/4 + 32*s[76] + 36*s[77] - 62*s[78] - 56*s[79] + 
       (368*s[80])/3 - (345*s[82])/2 - 6*s[83] + 36*s[84] - 94*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((-165*s[2])/2 - (415*s[3])/8 - (2587*s[4])/16 - (12019*s[5])/44 - 
       (109515*s[6])/88 - (15771031*s[7])/3168 + (392977*s[8])/2376 + 
       (1746595*s[9])/432 + (165521*s[10])/108 + (4229603*s[11])/792 + 
       (17165257*s[12])/3168 + (10300969*s[13])/3168 + (7303133*s[14])/3168 + 
       (1882397*s[15])/288 + (13746173*s[16])/1584 + (4202173*s[17])/528 + 
       (115613*s[18])/81 + (332869*s[19])/1296 + (18721829*s[20])/1782 + 
       (129168119*s[21])/28512 - (68523805*s[22])/28512 - 
       (15302009*s[23])/3168 - (142876231*s[24])/28512 + 
       (1553638613*s[25])/256608 - (1093664093*s[26])/256608 + (33*s[30])/2 - 
       24*s[31] + 16*s[32] + (31*s[33])/2 + (23*s[34])/2 - 56*s[35] - 
       (131*s[36])/2 + (1753*s[37])/12 + (81*s[38])/2 + (1117*s[39])/8 - 
       (2893*s[40])/8 + (2641*s[41])/8 - (1535*s[42])/8 - (58537*s[43])/88 + 
       (9777*s[44])/22 - (128153*s[45])/132 + (1515823*s[46])/264 + 
       (217535*s[47])/528 - (671419*s[48])/528 + (275185*s[49])/132 - 
       (340429*s[50])/88 - (23267*s[51])/264 - (37321*s[52])/264 + 
       (1215487*s[53])/396 - (289577*s[54])/264 + (3561703*s[55])/176 + 
       (5613547*s[56])/792 + (1041409*s[57])/1188 + (26318455*s[58])/3564 - 
       (6534949*s[59])/891 - (71881747*s[60])/1584 + (241426079*s[61])/
        64152 + 22*s[68] - 40*s[69] + 4*s[70] + 10*s[71] + 8*s[72] + 
       72*s[73] - (61*s[74])/4 + (61*s[75])/4 + 32*s[76] + 36*s[77] - 
       62*s[78] - 56*s[79] + (368*s[80])/3 - (345*s[82])/2 - 6*s[83] + 
       36*s[84] - 94*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*
      ((76*s[2])/3 + (85*s[3])/12 - (51553*s[4])/48 - (50533*s[5])/66 - 
       (841015*s[6])/528 - (56195185*s[7])/3168 + (199165*s[8])/132 + 
       (90583*s[9])/6 + (77197*s[10])/16 + (20512103*s[11])/1056 + 
       (5620195*s[12])/264 + (39910931*s[13])/3168 + (2104415*s[14])/1056 + 
       (6848329*s[15])/288 + (23765831*s[16])/792 + (72327901*s[17])/3168 + 
       (1326409*s[18])/432 + (1231553*s[19])/432 + (42423395*s[20])/1188 + 
       (118932629*s[21])/9504 - (29962913*s[22])/3168 - (1966355*s[23])/99 - 
       (31224241*s[24])/1584 + (2127089231*s[25])/85536 - 
       (1137181877*s[26])/85536 - (49*s[30])/12 + (59*s[31])/6 - 
       (17*s[32])/6 + (89*s[33])/48 - (133*s[34])/12 + (223*s[35])/6 + 
       (167*s[36])/3 - (356*s[37])/3 - 584*s[38] + (58369*s[39])/24 - 
       (65561*s[40])/24 + (52049*s[41])/24 - (85247*s[42])/24 - 
       (521959*s[43])/264 + (1237949*s[44])/528 - (164393*s[45])/66 + 
       (5182777*s[46])/264 - (1318225*s[47])/1584 - (271399*s[48])/1584 + 
       (15462523*s[49])/1584 - (516158*s[50])/33 - (4003247*s[51])/1584 - 
       (2932055*s[52])/1584 + (1051289*s[53])/99 + (19643*s[54])/66 + 
       (107228383*s[55])/1584 + (9093203*s[56])/528 - (1577243*s[57])/99 + 
       (47765753*s[58])/1584 - (5351121*s[59])/176 - (1556431633*s[60])/
        9504 + (178608097*s[61])/21384 - 8*s[68] + 16*s[69] - 5*s[70] - 
       (11*s[71])/2 - (25*s[72])/3 - 31*s[73] + (253*s[74])/12 - 
       (253*s[75])/12 - (59*s[76])/3 - (27*s[77])/2 + (109*s[78])/3 - 
       299*s[79] + (193*s[80])/3 - 645*s[82] - (35*s[83])/4 - (415*s[84])/2 - 
       92*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u]*
      ((316*s[2])/3 - (275*s[3])/4 + 244*s[4] + (124765*s[5])/528 + 
       (342109*s[6])/1056 + (23129351*s[7])/4752 - (205111*s[8])/9504 - 
       (3574109*s[9])/864 - (897941*s[10])/432 - (11673511*s[11])/2112 - 
       (34258187*s[12])/6336 - (32044181*s[13])/9504 - (131927*s[14])/264 - 
       (3391715*s[15])/432 - (44384005*s[16])/4752 - (163196873*s[17])/
        19008 + (35161*s[18])/288 - (2153725*s[19])/864 - 
       (10062293*s[20])/1056 - (92346337*s[21])/28512 + 
       (74079727*s[22])/28512 + (5700791*s[23])/19008 + 
       (438624473*s[24])/57024 - (3555504179*s[25])/513216 + 
       (1771376165*s[26])/513216 - (43*s[30])/6 + (83*s[31])/3 - 
       (137*s[32])/6 + (233*s[33])/24 - (157*s[34])/3 + 27*s[35] - 
       (518*s[36])/9 - (85*s[37])/9 + (3679*s[38])/12 - 465*s[39] + 
       (4511*s[40])/9 - (5617*s[41])/12 + (6667*s[42])/36 + 
       (274649*s[43])/198 - (1457119*s[44])/1584 + (270901*s[45])/198 - 
       (360341*s[46])/44 - (9339479*s[47])/9504 + (18739957*s[48])/9504 - 
       (61559689*s[49])/9504 + (11220775*s[50])/1584 - (2453761*s[51])/9504 - 
       (1567103*s[52])/4752 - (224737*s[53])/44 - (137747*s[54])/44 - 
       (106001719*s[55])/3168 - (44666987*s[56])/9504 - 
       (43932641*s[57])/3564 - (556762057*s[58])/85536 + 
       (826020187*s[59])/85536 + (4742277163*s[60])/57024 - 
       (125243095*s[61])/48114 + 3*s[65] + 12*s[66] - 20*s[67] - 
       (142*s[68])/3 + (89*s[69])/3 + 7*s[70] - 5*s[71] - 26*s[72] - 
       106*s[73] + (49*s[74])/2 - (49*s[75])/2 - (215*s[76])/3 - 41*s[77] + 
       (184*s[78])/3 - (272*s[79])/3 + (718*s[80])/9 + 743*s[82] + 3*s[83] - 
       90*s[84] - 88*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*((-35*s[2])/3 + 13*s[3] + (3803*s[4])/4 + 
       (31975*s[5])/66 + (114561*s[6])/88 + (1139431*s[7])/99 - 
       (919313*s[8])/792 - (695275*s[9])/72 - (80113*s[10])/36 - 
       (6771541*s[11])/528 - (2554377*s[12])/176 - (7071589*s[13])/792 - 
       (1937*s[14])/33 - (529475*s[15])/36 - (1849037*s[16])/99 - 
       (20968417*s[17])/1584 - (156851*s[18])/72 - (10637*s[19])/8 - 
       (16798621*s[20])/792 - (18043235*s[21])/2376 + (14320595*s[22])/2376 + 
       (28291939*s[23])/1584 + (55303921*s[24])/4752 - 
       (726496609*s[25])/42768 + (383115883*s[26])/42768 + 2*s[30] - 
       6*s[32] - (89*s[33])/12 - (49*s[34])/3 - (62*s[35])/3 - 
       (655*s[36])/18 + (797*s[37])/9 + (3299*s[38])/6 - (51701*s[39])/24 + 
       (167299*s[40])/72 - (42199*s[41])/24 + (228173*s[42])/72 + 
       (1266161*s[43])/792 - (2556769*s[44])/1584 + (595871*s[45])/396 - 
       (3476555*s[46])/264 + (5160761*s[47])/4752 - (3451909*s[48])/4752 - 
       (32151155*s[49])/4752 + (3783115*s[50])/396 + (10230895*s[51])/4752 + 
       (9234991*s[52])/4752 - (5404181*s[53])/792 + (187577*s[54])/132 - 
       (7369757*s[55])/176 - (55882009*s[56])/4752 + (38095199*s[57])/1782 - 
       (993570359*s[58])/42768 + (1004576765*s[59])/42768 + 
       (2864318177*s[60])/28512 - (2087300621*s[61])/384912 - s[68] - s[69] - 
       16*s[70] - 2*s[71] + 8*s[72] - (25*s[74])/3 + (25*s[75])/3 - 
       10*s[76] + 14*s[77] + 5*s[78] + (472*s[79])/3 - (260*s[80])/9 - 
       753*s[82] - 6*s[83] + 60*s[84] - 88*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*((1191*s[2])/8 - (223*s[3])/48 + 
       (4879*s[4])/96 + (8111*s[5])/48 + (55211*s[6])/96 + 
       (4211051*s[7])/1728 + (58753*s[8])/288 - (45815*s[9])/24 - 
       (191099*s[10])/144 - (1562057*s[11])/576 - (205181*s[12])/96 - 
       (2580055*s[13])/1728 - (600455*s[14])/576 - (7690423*s[15])/1728 - 
       (2234257*s[16])/432 - (10545845*s[17])/1728 + (26183*s[18])/162 - 
       (4041365*s[19])/2592 - (12006709*s[20])/2592 - (10658017*s[21])/5184 + 
       (1972663*s[22])/1728 - (1511921*s[23])/864 + (1202281*s[24])/288 - 
       (17330417*s[25])/5832 + (11133179*s[26])/5832 + (191*s[30])/12 + 
       (122*s[31])/3 - (65*s[32])/2 + (35*s[33])/8 - (719*s[34])/12 + 
       (189*s[35])/4 - (185*s[36])/9 - (5971*s[37])/72 + (1051*s[38])/12 - 
       (329*s[39])/16 + (6881*s[40])/144 - (6493*s[41])/48 - 
       (44903*s[42])/144 + (1503583*s[43])/1584 - (1295903*s[44])/3168 + 
       (1086541*s[45])/1584 - (1603775*s[46])/396 - (9083099*s[47])/9504 + 
       (16289083*s[48])/9504 - (37507879*s[49])/9504 + (2665007*s[50])/792 - 
       (6085729*s[51])/9504 - (5072407*s[52])/9504 - (13530103*s[53])/4752 - 
       (1285549*s[54])/792 - (18808183*s[55])/1056 - (6892835*s[56])/3168 - 
       (835607*s[57])/66 - (25613213*s[58])/28512 + (105556787*s[59])/28512 + 
       (2411892883*s[60])/57024 - (357561667*s[61])/256608 + 2*s[67] - 
       37*s[68] + 81*s[69] - s[70]/2 - (13*s[71])/2 - (33*s[72])/2 - 
       (905*s[73])/6 + (233*s[74])/8 - (233*s[75])/8 - (115*s[76])/2 - 
       (725*s[77])/12 + (254*s[78])/3 - 130*s[79] - (757*s[80])/36 + 
       163*s[82] - (11*s[83])/4 - (369*s[84])/2 - 86*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*((2989*s[2])/24 + (143*s[3])/48 + 
       (4955*s[4])/96 + (99439*s[5])/264 + (942463*s[6])/1056 + 
       (91178497*s[7])/19008 + (982373*s[8])/9504 - (1699621*s[9])/432 - 
       (1050821*s[10])/432 - (31854443*s[11])/6336 - (13185727*s[12])/3168 - 
       (46724273*s[13])/19008 - (15604745*s[14])/6336 - 
       (14578063*s[15])/1728 - (46209797*s[16])/4752 - 
       (206710879*s[17])/19008 - (126973*s[18])/324 - (5249857*s[19])/2592 - 
       (300199357*s[20])/28512 - (28861507*s[21])/6336 + 
       (131962367*s[22])/57024 - (12171763*s[23])/9504 + 
       (205055869*s[24])/28512 - (114982939*s[25])/21384 + 
       (163805537*s[26])/42768 - 8*s[29] - (31*s[30])/6 + (143*s[31])/6 - 
       (331*s[32])/12 - (709*s[33])/16 - (115*s[34])/6 + (189*s[35])/4 - 
       (185*s[36])/9 - (5971*s[37])/72 + (1051*s[38])/12 - (329*s[39])/16 + 
       (6881*s[40])/144 - (6493*s[41])/48 - (44903*s[42])/144 + 
       (1503583*s[43])/1584 - (1295903*s[44])/3168 + (1086541*s[45])/1584 - 
       (1603775*s[46])/396 - (9083099*s[47])/9504 + (16289083*s[48])/9504 - 
       (37507879*s[49])/9504 + (2665007*s[50])/792 - (6085729*s[51])/9504 - 
       (5072407*s[52])/9504 - (13530103*s[53])/4752 - (1285549*s[54])/792 - 
       (18808183*s[55])/1056 - (6892835*s[56])/3168 - (835607*s[57])/66 - 
       (25613213*s[58])/28512 + (105556787*s[59])/28512 + 
       (2411892883*s[60])/57024 - (357561667*s[61])/256608 + 2*s[67] - 
       37*s[68] + 81*s[69] - s[70]/2 - (13*s[71])/2 - (33*s[72])/2 - 
       (905*s[73])/6 + (233*s[74])/8 - (233*s[75])/8 - (115*s[76])/2 - 
       (725*s[77])/12 + (254*s[78])/3 - 130*s[79] - (757*s[80])/36 + 
       163*s[82] - (11*s[83])/4 - (369*s[84])/2 - 86*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*((187*s[2])/4 - (413*s[3])/8 - 
       (22927*s[4])/16 - (21205*s[5])/44 - (363257*s[6])/176 - 
       (16999997*s[7])/1056 + (2659757*s[8])/1584 + (952901*s[9])/72 + 
       (229447*s[10])/72 + (18972287*s[11])/1056 + (5423365*s[12])/264 + 
       (4488283*s[13])/352 + (410735*s[14])/1056 + (631381*s[15])/32 + 
       (284766*s[16])/11 + (19049581*s[17])/1056 + (642037*s[18])/216 + 
       (807487*s[19])/432 + (139540015*s[20])/4752 + (92418401*s[21])/9504 - 
       (79473949*s[22])/9504 - (529227*s[23])/22 - (38804617*s[24])/2376 + 
       (515971601*s[25])/21384 - (258902513*s[26])/21384 + 2*s[29] - 
       (5*s[30])/2 + 10*s[31] - 10*s[32] + 42*s[33] - (39*s[34])/2 + 
       (23*s[35])/2 + (41*s[36])/3 - (1087*s[37])/12 - (1353*s[38])/2 + 
       (22831*s[39])/8 - (77917*s[40])/24 + (20513*s[41])/8 - 
       (101957*s[42])/24 - (621083*s[43])/264 + (672425*s[44])/264 - 
       (743747*s[45])/264 + (2951843*s[46])/132 - (447827*s[47])/396 - 
       (96889*s[48])/792 + (4002995*s[49])/396 - (1109741*s[50])/66 - 
       (2488325*s[51])/792 - (1025869*s[52])/396 + (9350771*s[53])/792 - 
       (161825*s[54])/66 + (6520797*s[55])/88 + (1401121*s[56])/66 - 
       (17943839*s[57])/792 + (3131989*s[58])/88 - (27770845*s[59])/792 - 
       (840448219*s[60])/4752 + (216647405*s[61])/21384 + 2*s[65] - s[67] + 
       2*s[69] + 3*s[70] + 7*s[71] - 13*s[72] - 19*s[73] + (79*s[74])/4 - 
       (79*s[75])/4 - (15*s[77])/2 + 18*s[78] - 372*s[79] + (689*s[80])/6 + 
       170*s[82] - 9*s[83] - 228*s[84] - 76*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - w]*((-719*s[2])/12 - (71*s[3])/12 + 
       (5885*s[4])/8 + (162313*s[5])/528 + (155299*s[6])/528 + 
       (19613521*s[7])/2376 - (12280981*s[8])/14256 - (9291449*s[9])/1296 - 
       (2154103*s[10])/1296 - (22259587*s[11])/2376 - (51390133*s[12])/4752 - 
       (10345129*s[13])/1584 + (4293427*s[14])/4752 - (1570837*s[15])/144 - 
       (7199063*s[16])/528 - (42158863*s[17])/4752 - (4146607*s[18])/3888 - 
       (765277*s[19])/486 - (333494833*s[20])/21384 - 
       (104277559*s[21])/21384 + (195605119*s[22])/42768 + 
       (19032335*s[23])/1584 + (390599035*s[24])/42768 - 
       (9840959167*s[25])/769824 + (4630101655*s[26])/769824 + 8*s[30] - 
       (85*s[31])/6 + (103*s[32])/12 + (161*s[33])/3 - (68*s[34])/3 - 
       52*s[35] - (1615*s[36])/18 + (11153*s[37])/72 + (2053*s[38])/4 - 
       (15619*s[39])/8 + (143311*s[40])/72 - (18733*s[41])/12 + 
       (51839*s[42])/18 + (902609*s[43])/792 - (293057*s[44])/198 + 
       (1426369*s[45])/1584 - (15560213*s[46])/1584 + (337970*s[47])/297 - 
       (2758697*s[48])/2376 - (7437029*s[49])/1188 + (3292183*s[50])/396 + 
       (601471*s[51])/297 + (3453401*s[52])/2376 - (25681213*s[53])/4752 - 
       (820789*s[54])/792 - (1077443*s[55])/33 - (5001449*s[56])/792 + 
       (3104105*s[57])/198 - (240520345*s[58])/14256 + 
       (125954381*s[59])/7128 + (2328568499*s[60])/28512 - 
       (732456133*s[61])/256608 + 11*s[68] - 22*s[69] + (33*s[71])/4 + 
       16*s[72] + 57*s[73] - (93*s[74])/4 + (93*s[75])/4 + 30*s[76] + 
       15*s[77] - 44*s[78] + (347*s[79])/3 + (2549*s[80])/36 - (85*s[82])/3 - 
       12*s[83] + 72*s[84] - (182*s[85])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*((-148*s[2])/3 - (349*s[3])/12 - 
       (35021*s[4])/48 - (28681*s[5])/44 - (873769*s[6])/528 - 
       (21489319*s[7])/1584 + (4527079*s[8])/4752 + (4942871*s[9])/432 + 
       (825935*s[10])/216 + (11741407*s[11])/792 + (25180117*s[12])/1584 + 
       (7554941*s[13])/792 + (953543*s[14])/396 + (1320299*s[15])/72 + 
       (36694723*s[16])/1584 + (9833783*s[17])/528 + (3261625*s[18])/1296 + 
       (1364569*s[19])/648 + (390246311*s[20])/14256 + 
       (145195307*s[21])/14256 - (50470877*s[22])/7128 - 
       (11155945*s[23])/792 - (26801099*s[24])/1782 + 
       (4753427449*s[25])/256608 - (2696111347*s[26])/256608 + (7*s[30])/12 - 
       (89*s[31])/6 + (47*s[32])/6 + (169*s[33])/48 + (199*s[34])/12 - 
       (37*s[35])/6 + 27*s[36] - (133*s[37])/6 - 431*s[38] + 
       (39617*s[39])/24 - (45065*s[40])/24 + (35773*s[41])/24 - 
       (18345*s[42])/8 - (453113*s[43])/264 + (36515*s[44])/22 - 
       (22541*s[45])/11 + (3959887*s[46])/264 - (237007*s[47])/792 - 
       (73454*s[48])/99 + (3000389*s[49])/396 - (757631*s[50])/66 - 
       (133263*s[51])/88 - (992801*s[52])/792 + (6423253*s[53])/792 - 
       (4171*s[54])/33 + (20538059*s[55])/396 + (1348979*s[56])/99 - 
       (21066367*s[57])/2376 + (39333473*s[58])/1782 - 
       (161912129*s[59])/7128 - (295713773*s[60])/2376 + 
       (865097407*s[61])/128304 + 8*s[68] - 16*s[69] - s[70] + (7*s[71])/2 - 
       (5*s[72])/3 + 37*s[73] + (5*s[74])/12 - (5*s[75])/12 + (89*s[76])/3 + 
       (25*s[77])/2 - (97*s[78])/3 - 131*s[79] + (116*s[80])/3 - 246*s[82] - 
       (7*s[83])/4 - (83*s[84])/2 - 56*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*Omega2[v, w, u]*(78*s[2] - 41*s[3] + (1401*s[4])/2 + 
       (7071*s[5])/11 + (26229*s[6])/22 + (1698335*s[7])/132 - 
       (490513*s[8])/594 - (295345*s[9])/27 - (106550*s[10])/27 - 
       (5571031*s[11])/396 - (1464938*s[12])/99 - (3494581*s[13])/396 - 
       (675439*s[14])/396 - (661919*s[15])/36 - (2234503*s[16])/99 - 
       (7400317*s[17])/396 - (147896*s[18])/81 - (466385*s[19])/162 - 
       (46021601*s[20])/1782 - (33577201*s[21])/3564 + 
       (24237713*s[22])/3564 + (1154357*s[23])/99 + (13560497*s[24])/891 - 
       (141689506*s[25])/8019 + (77747440*s[26])/8019 + 28*s[31] - 14*s[32] + 
       13*s[33] - 52*s[34] - 92*s[36] + (88*s[37])/3 + 488*s[38] - 
       1645*s[39] + 1761*s[40] - 1449*s[41] + 2161*s[42] + (19667*s[43])/11 - 
       (36717*s[44])/22 + (63238*s[45])/33 - (472789*s[46])/33 + 
       (6895*s[47])/66 + (49861*s[48])/66 - (568045*s[49])/66 + 
       (127818*s[50])/11 + (27303*s[51])/22 + (59903*s[52])/66 - 
       (814118*s[53])/99 - (59074*s[54])/33 - (3430877*s[55])/66 - 
       (2200277*s[56])/198 + (1062184*s[57])/297 - (34254511*s[58])/1782 + 
       (38155417*s[59])/1782 + (49348859*s[60])/396 - 
       (89450455*s[61])/16038 - 16*s[68] + 32*s[69] - 72*s[73] - 56*s[76] - 
       16*s[77] + 56*s[78] + 32*s[79] + (152*s[80])/3 + 432*s[82] - 48*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - v]*Omega2[w, u, v]*(78*s[2] - 60*s[3] + 
       (1503*s[4])/2 + (7715*s[5])/11 + (26995*s[6])/22 + 
       (5570471*s[7])/396 - (539075*s[8])/594 - (323483*s[9])/27 - 
       (118462*s[10])/27 - (6077393*s[11])/396 - (1593346*s[12])/99 - 
       (1269373*s[13])/132 - (706001*s[14])/396 - (242471*s[15])/12 - 
       (271619*s[16])/11 - (8118559*s[17])/396 - (155779*s[18])/81 - 
       (526465*s[19])/162 - (50270431*s[20])/1782 - (36658043*s[21])/3564 + 
       (26544871*s[22])/3564 + (409592*s[23])/33 + (14979460*s[24])/891 - 
       (309415285*s[25])/16038 + (169511635*s[26])/16038 - 4*s[30] + 
       28*s[31] - 14*s[32] + 13*s[33] - 52*s[34] - 6*s[35] - (317*s[36])/3 + 
       (68*s[37])/3 + 530*s[38] - (7127*s[39])/4 + (22937*s[40])/12 - 
       (6379*s[41])/4 + (28057*s[42])/12 + (23753*s[43])/12 - 
       (44227*s[44])/24 + (12797*s[45])/6 - (63487*s[46])/4 + 
       (4235*s[47])/72 + (62813*s[48])/72 - (688385*s[49])/72 + 
       (39104*s[50])/3 + (96421*s[51])/72 + (68593*s[52])/72 - 
       (110651*s[53])/12 - 2177*s[54] - (1402255*s[55])/24 - 
       (877027*s[56])/72 + (138205*s[57])/54 - (13553417*s[58])/648 + 
       (15254759*s[59])/648 + (60197867*s[60])/432 - (35918675*s[61])/5832 - 
       18*s[68] + 34*s[69] - 72*s[73] - 48*s[76] - 18*s[77] + 50*s[78] + 
       36*s[79] + (178*s[80])/3 + 432*s[82] - 48*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*Omega2[u, v, w]*(64*s[2] - (55*s[3])/2 + (3197*s[4])/4 + 
       (15821*s[5])/22 + (57539*s[6])/44 + (3833449*s[7])/264 - 
       (369143*s[8])/396 - (110917*s[9])/9 - (82015*s[10])/18 - 
       (4168151*s[11])/264 - (2178119*s[12])/132 - (2576815*s[13])/264 - 
       (546125*s[14])/264 - (506719*s[15])/24 - (3388697*s[16])/132 - 
       (1892163*s[17])/88 - (108445*s[18])/54 - (363949*s[19])/108 - 
       (34970887*s[20])/1188 - (25424675*s[21])/2376 + 
       (18209623*s[22])/2376 + (416365*s[23])/33 + (5174693*s[24])/297 - 
       (105844595*s[25])/5346 + (29177035*s[26])/2673 + 18*s[31] - 14*s[32] + 
       14*s[33] - 42*s[34] - 6*s[35] - (317*s[36])/3 + (68*s[37])/3 + 
       530*s[38] - (7127*s[39])/4 + (22937*s[40])/12 - (6379*s[41])/4 + 
       (28057*s[42])/12 + (23753*s[43])/12 - (44227*s[44])/24 + 
       (12797*s[45])/6 - (63487*s[46])/4 + (4235*s[47])/72 + 
       (62813*s[48])/72 - (688385*s[49])/72 + (39104*s[50])/3 + 
       (96421*s[51])/72 + (68593*s[52])/72 - (110651*s[53])/12 - 2177*s[54] - 
       (1402255*s[55])/24 - (877027*s[56])/72 + (138205*s[57])/54 - 
       (13553417*s[58])/648 + (15254759*s[59])/648 + (60197867*s[60])/432 - 
       (35918675*s[61])/5832 - 18*s[68] + 34*s[69] - 72*s[73] - 48*s[76] - 
       18*s[77] + 50*s[78] + 36*s[79] + (178*s[80])/3 + 432*s[82] - 48*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      ((-149*s[2])/6 - (87*s[3])/4 - (1173*s[4])/4 - (36617*s[5])/132 - 
       (61961*s[6])/88 - (9270559*s[7])/1584 + (8479*s[8])/22 + 
       (29617*s[9])/6 + (43039*s[10])/24 + (846917*s[11])/132 + 
       (1195739*s[12])/176 + (6498533*s[13])/1584 + (180509*s[14])/176 + 
       (388423*s[15])/48 + (4017041*s[16])/396 + (821329*s[17])/99 + 
       (109865*s[18])/108 + (230963*s[19])/216 + (3526114*s[20])/297 + 
       (21392603*s[21])/4752 - (1610833*s[22])/528 - (8547415*s[23])/1584 - 
       (10680377*s[24])/1584 + (340272995*s[25])/42768 - 
       (196019195*s[26])/42768 + s[30] - 7*s[31] + (7*s[32])/2 + 
       (11*s[33])/3 + (13*s[34])/3 - (53*s[35])/6 + (521*s[36])/36 + 
       (31*s[37])/9 - (387*s[38])/2 + (31871*s[39])/48 - (107633*s[40])/144 + 
       (29219*s[41])/48 - (126769*s[42])/144 - (1244107*s[43])/1584 + 
       (2289701*s[44])/3168 - (756649*s[45])/792 + (1160527*s[46])/176 - 
       (141727*s[47])/9504 - (4882309*s[48])/9504 + (33749197*s[49])/9504 - 
       (4072295*s[50])/792 - (5344373*s[51])/9504 - (3997751*s[52])/9504 + 
       (5748815*s[53])/1584 + (39485*s[54])/88 + (8242935*s[55])/352 + 
       (54058355*s[56])/9504 - (3829775*s[57])/1782 + 
       (785679205*s[58])/85536 - (832255483*s[59])/85536 - 
       (3215787571*s[60])/57024 + (2240609533*s[61])/769824 + (9*s[68])/2 - 
       (17*s[69])/2 - 2*s[70] + (5*s[71])/2 + 18*s[73] - (7*s[74])/6 + 
       (7*s[75])/6 + 14*s[76] + (17*s[77])/2 - (29*s[78])/2 - (46*s[79])/3 - 
       (73*s[80])/9 - 237*s[82] - 12*s[84] - 48*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      ((-64*s[2])/3 - (313*s[3])/8 - (4797*s[4])/16 - (27597*s[5])/88 - 
       (382441*s[6])/528 - (57786133*s[7])/9504 + (5083147*s[8])/14256 + 
       (1670507*s[9])/324 + (1200917*s[10])/648 + (63048811*s[11])/9504 + 
       (33194767*s[12])/4752 + (13229449*s[13])/3168 + 
       (12118993*s[14])/9504 + (2436481*s[15])/288 + (16862827*s[16])/1584 + 
       (84009797*s[17])/9504 + (2067893*s[18])/1944 + (4366121*s[19])/3888 + 
       (537610763*s[20])/42768 + (401777095*s[21])/85536 - 
       (271851683*s[22])/85536 - (1073783*s[23])/198 - 
       (18806992*s[24])/2673 + (1575540115*s[25])/192456 - 
       (226416397*s[26])/48114 + (7*s[30])/3 - (9*s[31])/2 + (5*s[32])/2 - 
       (21*s[33])/4 + (61*s[34])/6 - (53*s[35])/6 + (521*s[36])/36 + 
       (31*s[37])/9 - (387*s[38])/2 + (31871*s[39])/48 - (107633*s[40])/144 + 
       (29219*s[41])/48 - (126769*s[42])/144 - (1244107*s[43])/1584 + 
       (2289701*s[44])/3168 - (756649*s[45])/792 + (1160527*s[46])/176 - 
       (141727*s[47])/9504 - (4882309*s[48])/9504 + (33749197*s[49])/9504 - 
       (4072295*s[50])/792 - (5344373*s[51])/9504 - (3997751*s[52])/9504 + 
       (5748815*s[53])/1584 + (39485*s[54])/88 + (8242935*s[55])/352 + 
       (54058355*s[56])/9504 - (3829775*s[57])/1782 + 
       (785679205*s[58])/85536 - (832255483*s[59])/85536 - 
       (3215787571*s[60])/57024 + (2240609533*s[61])/769824 + (9*s[68])/2 - 
       (17*s[69])/2 - 2*s[70] + (5*s[71])/2 + 18*s[73] - (7*s[74])/6 + 
       (7*s[75])/6 + 14*s[76] + (17*s[77])/2 - (29*s[78])/2 - (46*s[79])/3 - 
       (73*s[80])/9 - 237*s[82] - 12*s[84] - 48*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*(2*s[2] - 27*s[3] - 107*s[4] - 
       (2559*s[5])/44 - (34231*s[6])/88 - (141607*s[7])/88 + 
       (152963*s[8])/792 + (90985*s[9])/72 + (2515*s[10])/9 + 
       (960365*s[11])/528 + (1136837*s[12])/528 + (180547*s[13])/132 + 
       (83767*s[14])/264 + (111929*s[15])/72 + (105967*s[16])/44 + 
       (836459*s[17])/528 + (110429*s[18])/216 - (18209*s[19])/216 + 
       (6901183*s[20])/2376 + (1417841*s[21])/1188 - (230029*s[22])/297 - 
       (1518203*s[23])/528 - (6381403*s[24])/4752 + (98388497*s[25])/42768 - 
       (59294135*s[26])/42768 + 4*s[29] + 4*s[31] + (65*s[33])/2 - 22*s[34] - 
       12*s[35] - 31*s[36] - (13*s[37])/6 - (89*s[38])/3 + (2239*s[39])/12 - 
       (3259*s[40])/12 + (723*s[41])/4 - (3557*s[42])/12 - 
       (27901*s[43])/132 + (17191*s[44])/88 - (28697*s[45])/132 + 
       (36941*s[46])/22 - (14771*s[47])/132 - (5879*s[48])/33 + 
       (17648*s[49])/33 - (111253*s[50])/132 - (103057*s[51])/396 - 
       (68909*s[52])/264 + (6367*s[53])/11 - (19135*s[54])/22 + 
       (246515*s[55])/66 + (50649*s[56])/22 - (141487*s[57])/33 + 
       (154235*s[58])/44 - (190891*s[59])/66 - (8772059*s[60])/792 + 
       (72493*s[61])/66 - 2*s[68] - 2*s[69] + 3*s[71] - 3*s[74] + 3*s[75] - 
       4*s[76] + 6*s[77] - 44*s[79] + 65*s[80] + 52*s[82] - 40*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v]*
      (-6*s[2] - (135*s[3])/2 - (327*s[4])/4 - (505*s[5])/11 - 
       (131557*s[6])/264 - (122555*s[7])/88 + (54337*s[8])/792 + 
       (79409*s[9])/72 + (3535*s[10])/18 + (886181*s[11])/528 + 
       (1058825*s[12])/528 + (58041*s[13])/44 + (163055*s[14])/264 + 
       (85763*s[15])/72 + (142841*s[16])/66 + (725183*s[17])/528 + 
       (113515*s[18])/216 - (42853*s[19])/216 + (6716207*s[20])/2376 + 
       (1429765*s[21])/1188 - (809951*s[22])/1188 - (391917*s[23])/176 - 
       (5537747*s[24])/4752 + (86418979*s[25])/42768 - 
       (56542705*s[26])/42768 - 6*s[30] - 6*s[34] - 12*s[35] - 31*s[36] - 
       (13*s[37])/6 - (89*s[38])/3 + (2239*s[39])/12 - (3259*s[40])/12 + 
       (723*s[41])/4 - (3557*s[42])/12 - (27901*s[43])/132 + 
       (17191*s[44])/88 - (28697*s[45])/132 + (36941*s[46])/22 - 
       (14771*s[47])/132 - (5879*s[48])/33 + (17648*s[49])/33 - 
       (111253*s[50])/132 - (103057*s[51])/396 - (68909*s[52])/264 + 
       (6367*s[53])/11 - (19135*s[54])/22 + (246515*s[55])/66 + 
       (50649*s[56])/22 - (141487*s[57])/33 + (154235*s[58])/44 - 
       (190891*s[59])/66 - (8772059*s[60])/792 + (72493*s[61])/66 - 2*s[68] - 
       2*s[69] + 3*s[71] - 3*s[74] + 3*s[75] - 4*s[76] + 6*s[77] - 44*s[79] + 
       65*s[80] + 52*s[82] - 40*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      (-6*s[2] - (199*s[3])/12 - (5725*s[4])/16 - (176747*s[5])/528 - 
       (376501*s[6])/528 - (662362*s[7])/99 + (7487329*s[8])/14256 + 
       (7351859*s[9])/1296 + (2425219*s[10])/1296 + (68572615*s[11])/9504 + 
       (73302737*s[12])/9504 + (10782625*s[13])/2376 + (5369021*s[14])/4752 + 
       (498575*s[15])/54 + (54213311*s[16])/4752 + (87588229*s[17])/9504 + 
       (4752583*s[18])/3888 + (4038989*s[19])/3888 + (291319813*s[20])/
        21384 + (105953335*s[21])/21384 - (18719297*s[22])/5346 - 
       (67329059*s[23])/9504 - (632525063*s[24])/85536 + 
       (6988603921*s[25])/769824 - (3911724565*s[26])/769824 - s[30]/12 - 
       (3*s[31])/2 + (7*s[32])/12 + (25*s[33])/48 + (7*s[34])/12 + 
       (7*s[35])/6 + (35*s[36])/3 - (365*s[37])/36 - (1183*s[38])/6 + 
       (6503*s[39])/8 - (22021*s[40])/24 + (17431*s[41])/24 - 
       (28253*s[42])/24 - (200945*s[43])/264 + (403411*s[44])/528 - 
       (800401*s[45])/792 + (726728*s[46])/99 - (26005*s[47])/99 - 
       (108347*s[48])/792 + (2728013*s[49])/792 - (1515541*s[50])/264 - 
       (107765*s[51])/132 - (1011617*s[52])/1584 + (1219639*s[53])/297 - 
       (51331*s[54])/396 + (2300791*s[55])/88 + (15892759*s[56])/2376 - 
       (3532307*s[57])/891 + (229387193*s[58])/21384 - 
       (235919573*s[59])/21384 - (144575873*s[60])/2376 + 
       (1276975399*s[61])/384912 - s[70] + s[71]/2 - 3*s[72] + 
       (37*s[74])/12 - (37*s[75])/12 + 3*s[76] + (7*s[77])/6 - (5*s[78])/3 - 
       (224*s[79])/3 + (337*s[80])/18 - (439*s[82])/3 - 36*s[84] - 40*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      ((-7*s[2])/3 - (193*s[3])/8 - (7847*s[4])/48 - (2998*s[5])/33 - 
       (21705*s[6])/88 - (22581487*s[7])/9504 + (1722797*s[8])/7128 + 
       (2522447*s[9])/1296 + (54787*s[10])/81 + (3025835*s[11])/1188 + 
       (26281613*s[12])/9504 + (4943923*s[13])/3168 + (2968789*s[14])/9504 + 
       (948599*s[15])/288 + (6492913*s[16])/1584 + (15671215*s[17])/4752 + 
       (877817*s[18])/1944 + (1477835*s[19])/3888 + (51141041*s[20])/10692 + 
       (140790115*s[21])/85536 - (104295797*s[22])/85536 - 
       (9573779*s[23])/3168 - (219927107*s[24])/85536 + 
       (2511682729*s[25])/769824 - (1344010957*s[26])/769824 - (7*s[30])/6 - 
       s[32] + 5*s[33] - (71*s[34])/6 - (19*s[35])/3 - (61*s[36])/9 - 
       (143*s[37])/36 - (140*s[38])/3 + 294*s[39] - (6565*s[40])/18 + 
       (3445*s[41])/12 - (4147*s[42])/9 - (105379*s[43])/396 + 
       (500707*s[44])/1584 - (138233*s[45])/396 + (181297*s[46])/66 - 
       (136685*s[47])/1188 - (25913*s[48])/297 + (5976761*s[49])/4752 - 
       (1750151*s[50])/792 - (1601683*s[51])/4752 - (959491*s[52])/4752 + 
       (1232443*s[53])/792 - (8101*s[54])/88 + (7692571*s[55])/792 + 
       (12159889*s[56])/4752 - (1377730*s[57])/891 + (169290557*s[58])/
        42768 - (170722763*s[59])/42768 - (651987785*s[60])/28512 + 
       (491044613*s[61])/384912 - s[71] - 2*s[72] + 2*s[73] + (7*s[74])/12 - 
       (7*s[75])/12 - 2*s[76] + 2*s[77] - 3*s[78] - (220*s[79])/3 + 
       (410*s[80])/9 - (911*s[82])/6 - 12*s[84] - 38*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      ((-22*s[2])/3 + (241*s[3])/8 - (1935*s[4])/16 - (2747*s[5])/22 - 
       (19187*s[6])/66 - (8399035*s[7])/3168 + (114145*s[8])/594 + 
       (985429*s[9])/432 + (81425*s[10])/108 + (4531957*s[11])/1584 + 
       (9739195*s[12])/3168 + (5752627*s[13])/3168 + (1740665*s[14])/3168 + 
       (343567*s[15])/96 + (7145519*s[16])/1584 + (483211*s[17])/132 + 
       (70153*s[18])/162 + (572125*s[19])/1296 + (77424847*s[20])/14256 + 
       (54076241*s[21])/28512 - (40346281*s[22])/28512 - 
       (7649819*s[23])/3168 - (85807897*s[24])/28512 + 
       (919953995*s[25])/256608 - (499079957*s[26])/256608 + s[30] - 
       2*s[31] - (13*s[33])/12 + s[34]/3 - (19*s[35])/3 - (61*s[36])/9 - 
       (143*s[37])/36 - (140*s[38])/3 + 294*s[39] - (6565*s[40])/18 + 
       (3445*s[41])/12 - (4147*s[42])/9 - (105379*s[43])/396 + 
       (500707*s[44])/1584 - (138233*s[45])/396 + (181297*s[46])/66 - 
       (136685*s[47])/1188 - (25913*s[48])/297 + (5976761*s[49])/4752 - 
       (1750151*s[50])/792 - (1601683*s[51])/4752 - (959491*s[52])/4752 + 
       (1232443*s[53])/792 - (8101*s[54])/88 + (7692571*s[55])/792 + 
       (12159889*s[56])/4752 - (1377730*s[57])/891 + (169290557*s[58])/
        42768 - (170722763*s[59])/42768 - (651987785*s[60])/28512 + 
       (491044613*s[61])/384912 - s[71] - 2*s[72] + 2*s[73] + (7*s[74])/12 - 
       (7*s[75])/12 - 2*s[76] + 2*s[77] - 3*s[78] - (220*s[79])/3 + 
       (410*s[80])/9 - (911*s[82])/6 - 12*s[84] - 38*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*((-181*s[2])/12 + (643*s[3])/24 - 
       (17561*s[4])/48 - (168563*s[5])/264 - (404753*s[6])/528 - 
       (34440929*s[7])/3168 + (3754753*s[8])/4752 + (2042851*s[9])/216 + 
       (193229*s[10])/54 + (36194815*s[11])/3168 + (9382421*s[12])/792 + 
       (20286545*s[13])/3168 + (7626235*s[14])/3168 + (4571635*s[15])/288 + 
       (7567303*s[16])/396 + (5679013*s[17])/352 + (1435031*s[18])/648 + 
       (2122187*s[19])/1296 + (338706047*s[20])/14256 + 
       (255620977*s[21])/28512 - (165379697*s[22])/28512 - 
       (8087113*s[23])/792 - (42660205*s[24])/3564 + (219778351*s[25])/
        16038 - (131029333*s[26])/16038 - (47*s[30])/3 - (28*s[31])/3 + 
       (47*s[32])/6 - (283*s[33])/24 + (49*s[34])/3 + (149*s[35])/6 + 
       (149*s[36])/3 - (371*s[37])/12 - (441*s[38])/2 + (29069*s[39])/24 - 
       (10111*s[40])/8 + (25171*s[41])/24 - (45269*s[42])/24 - 
       (57609*s[43])/88 + (88463*s[44])/88 - (65293*s[45])/88 + 
       (1005721*s[46])/132 - (31783*s[47])/44 + (166021*s[48])/264 + 
       (540125*s[49])/132 - (141439*s[50])/22 - (342911*s[51])/264 - 
       (114077*s[52])/132 + (3456767*s[53])/792 + (49267*s[54])/66 + 
       (20775901*s[55])/792 + (1161451*s[56])/198 - (21570853*s[57])/2376 + 
       (86742233*s[58])/7128 - (89113373*s[59])/7128 - (32386391*s[60])/528 + 
       (192560681*s[61])/64152 + 2*s[65] + 16*s[66] - 17*s[67] - 12*s[68] - 
       22*s[69] + 3*s[70] - 7*s[71] - (71*s[72])/3 - 19*s[73] + 
       (245*s[74])/12 - (245*s[75])/12 - (28*s[76])/3 - (15*s[77])/2 - 
       (82*s[78])/3 - 60*s[79] - s[80]/2 - 666*s[82] + 11*s[83] - 28*s[84] - 
       36*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*
      ((-11*s[2])/2 - (187*s[3])/12 - (5467*s[4])/16 - (47855*s[5])/176 - 
       (117691*s[6])/176 - (9401243*s[7])/1584 + (6704257*s[8])/14256 + 
       (6498191*s[9])/1296 + (2069611*s[10])/1296 + (61727233*s[11])/9504 + 
       (67139933*s[12])/9504 + (20037137*s[13])/4752 + (258935*s[14])/297 + 
       (3420613*s[15])/432 + (47688605*s[16])/4752 + (74238031*s[17])/9504 + 
       (4403959*s[18])/3888 + (3273485*s[19])/3888 + (63778183*s[20])/5346 + 
       (187002905*s[21])/42768 - (133265971*s[22])/42768 - 
       (64094303*s[23])/9504 - (552652223*s[24])/85536 + 
       (6317292787*s[25])/769824 - (3526538803*s[26])/769824 - s[30]/12 - 
       (3*s[31])/2 + (5*s[32])/6 + (37*s[33])/48 + (7*s[34])/12 + s[35]/6 + 
       (143*s[36])/12 - (325*s[37])/18 - (2305*s[38])/12 + (37645*s[39])/48 - 
       (42469*s[40])/48 + (33409*s[41])/48 - (54301*s[42])/48 - 
       (373987*s[43])/528 + (784265*s[44])/1056 - (668623*s[45])/792 + 
       (10222241*s[46])/1584 - (761999*s[47])/3168 - (455165*s[48])/3168 + 
       (10116017*s[49])/3168 - (1304851*s[50])/264 - (2473609*s[51])/3168 - 
       (2004667*s[52])/3168 + (16334653*s[53])/4752 - (31019*s[54])/198 + 
       (69387217*s[55])/3168 + (55646881*s[56])/9504 - 
       (39062509*s[57])/7128 + (855504011*s[58])/85536 - 
       (864273449*s[59])/85536 - (1004015395*s[60])/19008 + 
       (2202448469*s[61])/769824 + s[70]/2 + s[71]/2 - 3*s[72] + 
       (10*s[74])/3 - (10*s[75])/3 + 3*s[76] + s[77]/6 - (13*s[78])/6 - 
       (221*s[79])/3 + (331*s[80])/18 - (229*s[82])/2 - 36*s[84] - 34*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*
      ((-17*s[2])/4 - (389*s[3])/24 - (1034*s[4])/3 - (134309*s[5])/528 - 
       (86549*s[6])/132 - (6027011*s[7])/1056 + (3255611*s[8])/7128 + 
       (6243521*s[9])/1296 + (1945687*s[10])/1296 + (1862552*s[11])/297 + 
       (65090951*s[12])/9504 + (39166309*s[13])/9504 + (7386925*s[14])/9504 + 
       (6531533*s[15])/864 + (5715685*s[16])/594 + (17631469*s[17])/2376 + 
       (4157743*s[18])/3888 + (1589719*s[19])/1944 + (486603653*s[20])/
        42768 + (354345469*s[21])/85536 - (256407881*s[22])/85536 - 
       (62509871*s[23])/9504 - (530882027*s[24])/85536 + 
       (6133398097*s[25])/769824 - (3390313477*s[26])/769824 - (7*s[30])/12 - 
       (3*s[31])/2 + (5*s[32])/6 + s[33]/48 + (13*s[34])/12 + s[35]/6 + 
       (143*s[36])/12 - (325*s[37])/18 - (2305*s[38])/12 + (37645*s[39])/48 - 
       (42469*s[40])/48 + (33409*s[41])/48 - (54301*s[42])/48 - 
       (373987*s[43])/528 + (784265*s[44])/1056 - (668623*s[45])/792 + 
       (10222241*s[46])/1584 - (761999*s[47])/3168 - (455165*s[48])/3168 + 
       (10116017*s[49])/3168 - (1304851*s[50])/264 - (2473609*s[51])/3168 - 
       (2004667*s[52])/3168 + (16334653*s[53])/4752 - (31019*s[54])/198 + 
       (69387217*s[55])/3168 + (55646881*s[56])/9504 - 
       (39062509*s[57])/7128 + (855504011*s[58])/85536 - 
       (864273449*s[59])/85536 - (1004015395*s[60])/19008 + 
       (2202448469*s[61])/769824 + s[70]/2 + s[71]/2 - 3*s[72] + 
       (10*s[74])/3 - (10*s[75])/3 + 3*s[76] + s[77]/6 - (13*s[78])/6 - 
       (221*s[79])/3 + (331*s[80])/18 - (229*s[82])/2 - 36*s[84] - 34*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((-263*s[2])/3 - 73*s[3] - 1128*s[4] - (7819*s[5])/11 - 
       (228269*s[6])/132 - (5258533*s[7])/297 + (4572497*s[8])/3564 + 
       (4763683*s[9])/324 + (870979*s[10])/162 + (46250063*s[11])/2376 + 
       (49262173*s[12])/2376 + (1654177*s[13])/132 + (508144*s[14])/297 + 
       (449923*s[15])/18 + (12281473*s[16])/396 + (59857375*s[17])/2376 + 
       (1122937*s[18])/486 + (1033441*s[19])/243 + (371687629*s[20])/10692 + 
       (32553019*s[21])/2673 - (98785823*s[22])/10692 - (4462705*s[23])/264 - 
       (458248867*s[24])/21384 + (4810928159*s[25])/192456 - 
       (2546307227*s[26])/192456 + (68*s[30])/3 - 24*s[31] + 18*s[32] - 
       (33*s[33])/2 + (124*s[34])/3 - (26*s[35])/3 + (709*s[36])/9 + 
       (679*s[37])/18 - 582*s[38] + (25111*s[39])/12 - (84649*s[40])/36 + 
       (23347*s[41])/12 - (100313*s[42])/36 - (87013*s[43])/36 + 
       (165359*s[44])/72 - (93203*s[45])/36 + (58112*s[46])/3 + 
       (12929*s[47])/216 - (291121*s[48])/216 + (2491891*s[49])/216 - 
       (284051*s[50])/18 - (347555*s[51])/216 - (250853*s[52])/216 + 
       11123*s[53] + (11953*s[54])/6 + (565859*s[55])/8 + 
       (3312281*s[56])/216 - (281365*s[57])/81 + (49941577*s[58])/1944 - 
       (55539793*s[59])/1944 - (220016251*s[60])/1296 + 
       (17113163*s[61])/2187 + 4*s[67] + 24*s[68] - 40*s[69] + 4*s[70] + 
       4*s[72] + 68*s[73] - (13*s[74])/3 + (13*s[75])/3 + 44*s[76] + 
       30*s[77] - 48*s[78] - (176*s[79])/3 - (257*s[80])/9 - 866*s[82] - 
       32*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((-68*s[2])/3 - 58*s[3] - 269*s[4] - 
       (1825*s[5])/33 - (5817*s[6])/44 - (723649*s[7])/198 + 
       (585281*s[8])/1188 + (311797*s[9])/108 + (72841*s[10])/54 + 
       (3031253*s[11])/792 + (3233185*s[12])/792 + (854891*s[13])/396 - 
       (1913*s[14])/396 + (49556*s[15])/9 + (1314253*s[16])/198 + 
       (482689*s[17])/88 + (32477*s[18])/81 + (179651*s[19])/162 + 
       (6451411*s[20])/891 + (1980835*s[21])/891 - (3292063*s[22])/1782 - 
       (2866355*s[23])/792 - (33091765*s[24])/7128 + (325394717*s[25])/
        64152 - (157181711*s[26])/64152 - 4*s[30] + 6*s[32] + (85*s[33])/3 - 
       (64*s[34])/3 - (32*s[35])/3 - (8*s[36])/9 + (47*s[37])/9 - 6*s[38] + 
       (658*s[39])/3 - (2578*s[40])/9 + (775*s[41])/3 - (3158*s[42])/9 - 
       (26021*s[43])/99 + (125423*s[44])/396 - (16051*s[45])/99 + 
       (20502*s[46])/11 + (2381*s[47])/297 - (64906*s[48])/297 + 
       (1662733*s[49])/1188 - (328363*s[50])/198 - (280079*s[51])/1188 - 
       (78455*s[52])/1188 + (217595*s[53])/198 + (8159*s[54])/22 + 
       (212018*s[55])/33 + (1418981*s[56])/1188 - (324188*s[57])/891 + 
       (23811559*s[58])/10692 - (26630449*s[59])/10692 - 
       (121066573*s[60])/7128 + (70160671*s[61])/96228 + 4*s[68] - 8*s[69] - 
       (4*s[74])/3 + (4*s[75])/3 - 4*s[76] + 8*s[77] - 4*s[78] - 
       (8*s[79])/3 + (112*s[80])/9 - 226*s[82] - 32*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]*((37*s[2])/2 + (55*s[3])/12 - 
       (7199*s[4])/48 - (9719*s[5])/88 - (40499*s[6])/132 - 
       (24000389*s[7])/9504 + (424511*s[8])/1584 + (103291*s[9])/48 + 
       (72521*s[10])/144 + (544205*s[11])/198 + (1117799*s[12])/352 + 
       (18225607*s[13])/9504 + (1155191*s[14])/3168 + (2546165*s[15])/864 + 
       (18682109*s[16])/4752 + (12514855*s[17])/4752 + (872771*s[18])/1296 - 
       (5*s[19])/1296 + (8919041*s[20])/1782 + (53872495*s[21])/28512 - 
       (12652195*s[22])/9504 - (36206999*s[23])/9504 - (2387021*s[24])/1056 + 
       (27993308*s[25])/8019 - (128877691*s[26])/64152 - (11*s[30])/12 + 
       (29*s[31])/6 - 4*s[32] + (121*s[33])/16 - (133*s[34])/12 + 
       (13*s[35])/2 - (79*s[36])/9 - (497*s[37])/18 - (509*s[38])/6 + 
       (3101*s[39])/8 - (32509*s[40])/72 + (7961*s[41])/24 - 
       (43529*s[42])/72 - (208283*s[43])/792 + (952673*s[44])/3168 - 
       (278897*s[45])/792 + (1113995*s[46])/396 - (2505385*s[47])/9504 + 
       (591467*s[48])/9504 + (9210595*s[49])/9504 - (1520405*s[50])/792 - 
       (4401497*s[51])/9504 - (4375997*s[52])/9504 + (762701*s[53])/594 - 
       (611051*s[54])/792 + (26969839*s[55])/3168 + (3405265*s[56])/1056 - 
       (23770853*s[57])/4752 + (151589131*s[58])/28512 - 
       (136064197*s[59])/28512 - (1190027461*s[60])/57024 + 
       (122711761*s[61])/85536 - 5*s[68] + 10*s[69] - s[70] + s[71]/2 - 
       3*s[72] - (53*s[73])/3 + (15*s[74])/4 - (15*s[75])/4 - 10*s[76] - 
       (29*s[77])/6 + (37*s[78])/3 - 81*s[79] + (304*s[80])/9 + 68*s[82] - 
       s[83]/4 - (69*s[84])/2 - 32*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*((-943*s[2])/24 - (1109*s[3])/48 - 
       (22051*s[4])/32 - (25017*s[5])/44 - (766061*s[6])/528 - 
       (230883181*s[7])/19008 + (11797843*s[8])/14256 + 
       (26558095*s[9])/2592 + (2246651*s[10])/648 + (126375697*s[11])/9504 + 
       (269979841*s[12])/19008 + (162846835*s[13])/19008 + 
       (39688343*s[14])/19008 + (28645319*s[15])/1728 + 
       (49608155*s[16])/2376 + (53539439*s[17])/3168 + 
       (16419725*s[18])/7776 + (8099981*s[19])/3888 + 
       (1045976369*s[20])/42768 + (1543847759*s[21])/171072 - 
       (1087225555*s[22])/171072 - (232144943*s[23])/19008 - 
       (2341619371*s[24])/171072 + (25665877577*s[25])/1539648 - 
       (14418009479*s[26])/1539648 - (2*s[29])/3 + s[30]/6 - (61*s[31])/6 + 
       (97*s[32])/12 - (155*s[33])/48 + (107*s[34])/6 - (19*s[35])/4 + 
       (545*s[36])/18 - (907*s[37])/72 - (4793*s[38])/12 + (24633*s[39])/16 - 
       (251497*s[40])/144 + (22491*s[41])/16 - (308429*s[42])/144 - 
       (2529119*s[43])/1584 + (4974529*s[44])/3168 - (2851295*s[45])/1584 + 
       (10721927*s[46])/792 - (148493*s[47])/594 - (3207709*s[48])/4752 + 
       (34221745*s[49])/4752 - (16656011*s[50])/1584 - (3315145*s[51])/2376 - 
       (10508935*s[52])/9504 + (35092595*s[53])/4752 + (188207*s[54])/792 + 
       (24842975*s[55])/528 + (6251309*s[56])/528 - (9090199*s[57])/1188 + 
       (280558615*s[58])/14256 - (293001271*s[59])/14256 - 
       (101071460*s[60])/891 + (499720517*s[61])/85536 + 10*s[68] - 
       (52*s[69])/3 + s[70]/2 + (5*s[71])/2 - (5*s[72])/2 + (227*s[73])/6 + 
       (17*s[74])/8 - (17*s[75])/8 + (155*s[76])/6 + (151*s[77])/12 - 
       32*s[78] - 136*s[79] + (1175*s[80])/36 - 238*s[82] - (7*s[83])/4 - 
       (81*s[84])/2 - 30*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]^3*
      HPL[{0, 1}, 1 - v]*((-381*s[2])/8 + (219*s[3])/16 - (66313*s[4])/96 - 
       (294781*s[5])/528 - (360497*s[6])/264 - (77717633*s[7])/6336 + 
       (794438*s[8])/891 + (26839415*s[9])/2592 + (4495481*s[10])/1296 + 
       (31880741*s[11])/2376 + (274304777*s[12])/19008 + 
       (164046913*s[13])/19008 + (35026873*s[14])/19008 + 
       (28792121*s[15])/1728 + (49813349*s[16])/2376 + 
       (79535017*s[17])/4752 + (16685197*s[18])/7776 + (2005717*s[19])/972 + 
       (1050689539*s[20])/42768 + (1540505629*s[21])/171072 - 
       (1100389673*s[22])/171072 - (244578155*s[23])/19008 - 
       (2345504351*s[24])/171072 + (26004034825*s[25])/1539648 - 
       (14477778331*s[26])/1539648 + (67*s[30])/12 - (47*s[31])/3 + 
       (17*s[32])/2 + (11*s[33])/8 + (245*s[34])/12 - (19*s[35])/4 + 
       (545*s[36])/18 - (907*s[37])/72 - (4793*s[38])/12 + (24633*s[39])/16 - 
       (251497*s[40])/144 + (22491*s[41])/16 - (308429*s[42])/144 - 
       (2529119*s[43])/1584 + (4974529*s[44])/3168 - (2851295*s[45])/1584 + 
       (10721927*s[46])/792 - (148493*s[47])/594 - (3207709*s[48])/4752 + 
       (34221745*s[49])/4752 - (16656011*s[50])/1584 - (3315145*s[51])/2376 - 
       (10508935*s[52])/9504 + (35092595*s[53])/4752 + (188207*s[54])/792 + 
       (24842975*s[55])/528 + (6251309*s[56])/528 - (9090199*s[57])/1188 + 
       (280558615*s[58])/14256 - (293001271*s[59])/14256 - 
       (101071460*s[60])/891 + (499720517*s[61])/85536 + 10*s[68] - 
       (52*s[69])/3 + s[70]/2 + (5*s[71])/2 - (5*s[72])/2 + (227*s[73])/6 + 
       (17*s[74])/8 - (17*s[75])/8 + (155*s[76])/6 + (151*s[77])/12 - 
       32*s[78] - 136*s[79] + (1175*s[80])/36 - 238*s[82] - (7*s[83])/4 - 
       (81*s[84])/2 - 30*s[85])*\[Zeta][2] + HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - u]*((-653*s[2])/6 - (143*s[3])/6 - (3005*s[4])/8 - 
       (76261*s[5])/176 - (230425*s[6])/176 - (42615941*s[7])/4752 + 
       (5113159*s[8])/14256 + (9530225*s[9])/1296 + (4329451*s[10])/1296 + 
       (46241231*s[11])/4752 + (23090675*s[12])/2376 + (9232757*s[13])/1584 + 
       (12218645*s[14])/4752 + (80027*s[15])/6 + (3297761*s[16])/198 + 
       (36125231*s[17])/2376 + (4736965*s[18])/3888 + (1155799*s[19])/486 + 
       (399095017*s[20])/21384 + (154132189*s[21])/21384 - 
       (195296179*s[22])/42768 - (7589995*s[23])/1584 - 
       (494193781*s[24])/42768 + (8956415293*s[25])/769824 - 
       (5357997673*s[26])/769824 + 4*s[29] + (7*s[30])/2 - (61*s[31])/3 + 
       (68*s[32])/3 + (827*s[33])/24 + (71*s[34])/3 - 11*s[35] + 
       (305*s[36])/9 + (836*s[37])/9 - (1135*s[38])/6 + (2987*s[39])/6 - 
       (11431*s[40])/18 + (7225*s[41])/12 - (15361*s[42])/36 - 
       (262007*s[43])/198 + (761075*s[44])/792 - (304307*s[45])/198 + 
       (1912477*s[46])/198 + (1973441*s[47])/2376 - (4672099*s[48])/2376 + 
       (14134195*s[49])/2376 - (3029161*s[50])/396 + (226225*s[51])/2376 + 
       (68245*s[52])/2376 + (1672120*s[53])/297 + (640517*s[54])/396 + 
       (9717413*s[55])/264 + (6607795*s[56])/792 + (2013155*s[57])/297 + 
       (24602857*s[58])/2376 - (29551157*s[59])/2376 - 
       (1256287897*s[60])/14256 + (285023309*s[61])/64152 - 4*s[67] + 
       29*s[68] - 60*s[69] - 4*s[70] + 6*s[71] + 12*s[72] + 118*s[73] - 
       17*s[74] + 17*s[75] + 75*s[76] + 42*s[77] - 80*s[78] + (280*s[79])/3 - 
       (134*s[80])/9 - (2144*s[82])/3 - 12*s[83] + 72*s[84] - (88*s[85])/3)*
      \[Zeta][2] + Nt[u, v, w]*(39*s[2] - (41*s[3])/2 + (1401*s[4])/4 + 
       (7071*s[5])/22 + (26229*s[6])/44 + (1698335*s[7])/264 - 
       (490513*s[8])/1188 - (295345*s[9])/54 - (53275*s[10])/27 - 
       (5571031*s[11])/792 - (732469*s[12])/99 - (3494581*s[13])/792 - 
       (675439*s[14])/792 - (661919*s[15])/72 - (2234503*s[16])/198 - 
       (7400317*s[17])/792 - (73948*s[18])/81 - (466385*s[19])/324 - 
       (46021601*s[20])/3564 - (33577201*s[21])/7128 + 
       (24237713*s[22])/7128 + (1154357*s[23])/198 + (13560497*s[24])/1782 - 
       (70844753*s[25])/8019 + (38873720*s[26])/8019 + 14*s[31] - 7*s[32] + 
       (13*s[33])/2 - 26*s[34] - 46*s[36] + (44*s[37])/3 + 244*s[38] - 
       (1645*s[39])/2 + (1761*s[40])/2 - (1449*s[41])/2 + (2161*s[42])/2 + 
       (19667*s[43])/22 - (36717*s[44])/44 + (31619*s[45])/33 - 
       (472789*s[46])/66 + (6895*s[47])/132 + (49861*s[48])/132 - 
       (568045*s[49])/132 + (63909*s[50])/11 + (27303*s[51])/44 + 
       (59903*s[52])/132 - (407059*s[53])/99 - (29537*s[54])/33 - 
       (3430877*s[55])/132 - (2200277*s[56])/396 + (531092*s[57])/297 - 
       (34254511*s[58])/3564 + (38155417*s[59])/3564 + (49348859*s[60])/792 - 
       (89450455*s[61])/32076 - 8*s[68] + 16*s[69] - 36*s[73] - 28*s[76] - 
       8*s[77] + 28*s[78] + 16*s[79] + (76*s[80])/3 + 216*s[82] - 24*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*
      ((-537*s[2])/2 - (275*s[3])/4 - (19569*s[4])/8 - (44863*s[5])/22 - 
       (1932567*s[6])/352 - (137252789*s[7])/3168 + (9286747*s[8])/3168 + 
       (10438265*s[9])/288 + (1813127*s[10])/144 + (100247003*s[11])/2112 + 
       (106487555*s[12])/2112 + (48198503*s[13])/1584 + 
       (7864177*s[14])/1056 + (17130341*s[15])/288 + (118937393*s[16])/1584 + 
       (390872011*s[17])/6336 + (6491297*s[18])/864 + (6636781*s[19])/864 + 
       (821639833*s[20])/9504 + (25670153*s[21])/792 - 
       (26722517*s[22])/1188 - (277946827*s[23])/6336 - 
       (928388489*s[24])/19008 + (375387775*s[25])/6336 - 
       (212757965*s[26])/6336 + 6*s[29] - s[30] - 76*s[31] + 53*s[32] + 
       (27*s[33])/4 + 102*s[34] - 54*s[35] + (394*s[36])/3 - 12*s[37] - 
       1398*s[38] + (21517*s[39])/4 - (73027*s[40])/12 + (19631*s[41])/4 - 
       (21935*s[42])/3 - (794441*s[43])/132 + (2958173*s[44])/528 - 
       (872021*s[45])/132 + (6482677*s[46])/132 - (1399049*s[47])/3168 - 
       (9767453*s[48])/3168 + (85211465*s[49])/3168 - (19983659*s[50])/528 - 
       (13976887*s[51])/3168 - (5644787*s[52])/1584 + (10705595*s[53])/396 + 
       (48547*s[54])/33 + (181325711*s[55])/1056 + (45438785*s[56])/1056 - 
       (2321129*s[57])/99 + (73789435*s[58])/1056 - (235220291*s[59])/3168 - 
       (7825194923*s[60])/19008 + (228797705*s[61])/10692 + s[65] + 5*s[66] - 
       6*s[67] + 54*s[68] - 125*s[69] + 8*s[70] + 11*s[71] + 2*s[72] + 
       258*s[73] - (29*s[74])/2 + (29*s[75])/2 + 162*s[76] + 84*s[77] - 
       218*s[78] - 332*s[79] + (350*s[80])/3 - 1125*s[82] - 9*s[83] + 
       18*s[84] - 24*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - v]*((-571*s[2])/2 + (77*s[3])/4 - (18629*s[4])/8 - 
       (100217*s[5])/44 - (1962847*s[6])/352 - (3974953*s[7])/88 + 
       (9090245*s[8])/3168 + (10988839*s[9])/288 + (950015*s[10])/72 + 
       (104375597*s[11])/2112 + (110565799*s[12])/2112 + 
       (33158905*s[13])/1056 + (4416911*s[14])/528 + (2986339*s[15])/48 + 
       (41262995*s[16])/528 + (135829319*s[17])/2112 + (6937217*s[18])/864 + 
       (6682147*s[19])/864 + (866963791*s[20])/9504 + 
       (328021981*s[21])/9504 - (224141393*s[22])/9504 - 
       (94174837*s[23])/2112 - (966570145*s[24])/19008 + 
       (10474730885*s[25])/171072 - (6014888183*s[26])/171072 + 7*s[30] - 
       90*s[31] + 55*s[32] - (35*s[33])/4 + 133*s[34] - 54*s[35] + 
       (394*s[36])/3 - 12*s[37] - 1398*s[38] + (21517*s[39])/4 - 
       (73027*s[40])/12 + (19631*s[41])/4 - (21935*s[42])/3 - 
       (794441*s[43])/132 + (2958173*s[44])/528 - (872021*s[45])/132 + 
       (6482677*s[46])/132 - (1399049*s[47])/3168 - (9767453*s[48])/3168 + 
       (85211465*s[49])/3168 - (19983659*s[50])/528 - (13976887*s[51])/3168 - 
       (5644787*s[52])/1584 + (10705595*s[53])/396 + (48547*s[54])/33 + 
       (181325711*s[55])/1056 + (45438785*s[56])/1056 - (2321129*s[57])/99 + 
       (73789435*s[58])/1056 - (235220291*s[59])/3168 - 
       (7825194923*s[60])/19008 + (228797705*s[61])/10692 + s[65] + 5*s[66] - 
       6*s[67] + 54*s[68] - 125*s[69] + 8*s[70] + 11*s[71] + 2*s[72] + 
       258*s[73] - (29*s[74])/2 + (29*s[75])/2 + 162*s[76] + 84*s[77] - 
       218*s[78] - 332*s[79] + (350*s[80])/3 - 1125*s[82] - 9*s[83] + 
       18*s[84] - 24*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w]*
      ((269*s[2])/24 - (1541*s[3])/48 - (27827*s[4])/96 - (83927*s[5])/528 - 
       (192343*s[6])/352 - (74107483*s[7])/19008 + (3538585*s[8])/9504 + 
       (1406875*s[9])/432 + (161785*s[10])/216 + (27449633*s[11])/6336 + 
       (15647293*s[12])/3168 + (57854459*s[13])/19008 + 
       (2491943*s[14])/6336 + (8181781*s[15])/1728 + (14750623*s[16])/2376 + 
       (83027413*s[17])/19008 + (567923*s[18])/648 + (669511*s[19])/2592 + 
       (211830811*s[20])/28512 + (17062865*s[21])/6336 - 
       (115361177*s[22])/57024 - (55531307*s[23])/9504 - 
       (107316379*s[24])/28512 + (120642601*s[25])/21384 - 
       (131567867*s[26])/42768 - (43*s[30])/12 + (13*s[31])/6 - 
       (29*s[32])/12 + (13*s[33])/8 - (55*s[34])/12 + (27*s[35])/4 - 
       (53*s[36])/18 - (394*s[37])/9 - (491*s[38])/3 + (10255*s[39])/16 - 
       (104015*s[40])/144 + (25013*s[41])/48 - (137269*s[42])/144 - 
       (771889*s[43])/1584 + (1573943*s[44])/3168 - (56014*s[45])/99 + 
       (7011167*s[46])/1584 - (3490921*s[47])/9504 + (1295861*s[48])/9504 + 
       (17757931*s[49])/9504 - (2422175*s[50])/792 - (6776603*s[51])/9504 - 
       (6322373*s[52])/9504 + (5085755*s[53])/2376 - (175499*s[54])/198 + 
       (14346955*s[55])/1056 + (14033467*s[56])/3168 - (8435011*s[57])/1188 + 
       (75385357*s[58])/9504 - (71430473*s[59])/9504 - 
       (1898773753*s[60])/57024 + (261998353*s[61])/128304 - 5*s[68] + 
       (22*s[69])/3 + s[70]/2 + (7*s[71])/4 - (7*s[72])/2 - (49*s[73])/6 + 
       (33*s[74])/8 - (33*s[75])/8 - (5*s[76])/6 - (13*s[77])/4 + 
       (11*s[78])/3 - 87*s[79] + (641*s[80])/18 + 189*s[82] - s[83]/4 - 
       (75*s[84])/2 - 16*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*((613*s[2])/12 + (463*s[3])/12 + 
       (5245*s[4])/8 + (277795*s[5])/528 + (796627*s[6])/528 + 
       (102007501*s[7])/9504 - (6265835*s[8])/7128 - (5759095*s[9])/648 - 
       (897451*s[10])/324 - (111416491*s[11])/9504 - (3765478*s[12])/297 - 
       (24260069*s[13])/3168 - (16358269*s[14])/9504 - (4119515*s[15])/288 - 
       (4796665*s[16])/264 - (138316967*s[17])/9504 - (8502259*s[18])/3888 - 
       (5315507*s[19])/3888 - (896971793*s[20])/42768 - 
       (687820447*s[21])/85536 + (469984841*s[22])/85536 + 
       (20928929*s[23])/1584 + (242473271*s[24])/21384 - 
       (11342644729*s[25])/769824 + (6530192305*s[26])/769824 + 
       (89*s[31])/6 - (161*s[32])/12 - (403*s[33])/12 - (2*s[34])/3 + 
       (49*s[35])/2 - (109*s[36])/18 + (1805*s[37])/72 + (1309*s[38])/4 - 
       (11179*s[39])/8 + (115975*s[40])/72 - (7373*s[41])/6 + 
       (71707*s[42])/36 + (1126055*s[43])/792 - (2080393*s[44])/1584 + 
       (2353825*s[45])/1584 - (18169505*s[46])/1584 + (1698029*s[47])/4752 + 
       (2196527*s[48])/4752 - (27350321*s[49])/4752 + (3246415*s[50])/396 + 
       (5892943*s[51])/4752 + (5465503*s[52])/4752 - (28566079*s[53])/4752 + 
       (936509*s[54])/792 - (19949393*s[55])/528 - (17626363*s[56])/1584 + 
       (9001955*s[57])/792 - (129648503*s[58])/7128 + 
       (264306817*s[59])/14256 + (1287683197*s[60])/14256 - 
       (1369565239*s[61])/256608 - 12*s[68] + 23*s[69] - 16*s[70] - 
       (13*s[71])/4 - 51*s[73] + (21*s[74])/4 - (21*s[75])/4 - 36*s[76] - 
       4*s[77] + 46*s[78] + (383*s[79])/3 - (3127*s[80])/36 - (635*s[82])/6 + 
       12*s[84] - (38*s[85])/3)*\[Zeta][2] + HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - v]^2*((49*s[2])/4 + (5*s[3])/2 + (1629*s[4])/16 + 
       (105601*s[5])/1056 + (107677*s[6])/528 + (6223133*s[7])/3168 - 
       (559421*s[8])/4752 - (716809*s[9])/432 - (526051*s[10])/864 - 
       (13512253*s[11])/6336 - (14053625*s[12])/6336 - (231993*s[13])/176 - 
       (1102439*s[14])/3168 - (411589*s[15])/144 - (1831439*s[16])/528 - 
       (18578801*s[17])/6336 - (47761*s[18])/162 - (1093805*s[19])/2592 - 
       (114887543*s[20])/28512 - (42480329*s[21])/28512 + 
       (14664899*s[22])/14256 + (3559955*s[23])/2112 + 
       (133285781*s[24])/57024 - (169975541*s[25])/64152 + 
       (384830873*s[26])/256608 - s[30]/4 + (7*s[31])/2 - (5*s[32])/2 + 
       (57*s[33])/16 - (15*s[34])/2 - (35*s[36])/3 - (7*s[37])/6 + 
       (379*s[38])/6 - (5525*s[39])/24 + (1999*s[40])/8 - (833*s[41])/4 + 
       308*s[42] + (68419*s[43])/264 - (15547*s[44])/66 + (37607*s[45])/132 - 
       (562675*s[46])/264 + (20291*s[47])/3168 + (355307*s[48])/3168 - 
       (3944555*s[49])/3168 + (305267*s[50])/176 + (176167*s[51])/1056 + 
       (24883*s[52])/198 - (989141*s[53])/792 - (59207*s[54])/264 - 
       (25168471*s[55])/3168 - (5366993*s[56])/3168 + (384821*s[57])/2376 - 
       (78626731*s[58])/28512 + (88958245*s[59])/28512 + 
       (352563209*s[60])/19008 - (109185419*s[61])/128304 - (5*s[68])/2 + 
       5*s[69] - 9*s[73] - (13*s[76])/2 - 3*s[77] + 7*s[78] + 4*s[79] + 
       (19*s[80])/3 + 75*s[82] - 6*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      ((145*s[2])/2 + (99*s[3])/4 + (1261*s[4])/2 + (352093*s[5])/528 + 
       (1444645*s[6])/1056 + (20005555*s[7])/1584 - (22548661*s[8])/28512 - 
       (27659735*s[9])/2592 - (5034911*s[10])/1296 - (261045511*s[11])/
        19008 - (272360585*s[12])/19008 - (81550901*s[13])/9504 - 
       (4896809*s[14])/2376 - (7774085*s[15])/432 - (104910739*s[16])/4752 - 
       (353489953*s[17])/19008 - (15340069*s[18])/7776 - 
       (20587349*s[19])/7776 - (2176925957*s[20])/85536 - 
       (816032819*s[21])/85536 + (562887877*s[22])/85536 + 
       (216509255*s[23])/19008 + (2528231051*s[24])/171072 - 
       (26367953977*s[25])/1539648 + (14945256415*s[26])/1539648 - 
       (41*s[30])/6 + (77*s[31])/3 - (31*s[32])/3 + (239*s[33])/24 - 
       (125*s[34])/3 + (79*s[35])/6 - (395*s[36])/6 - (209*s[37])/12 + 
       (5291*s[38])/12 - (11947*s[39])/8 + (13023*s[40])/8 - 
       (32251*s[41])/24 + (15673*s[42])/8 + (153657*s[43])/88 - 
       (136421*s[44])/88 + (551197*s[45])/264 - (1920455*s[46])/132 + 
       (2297*s[47])/3168 + (2799641*s[48])/3168 - (25765085*s[49])/3168 + 
       (2044727*s[50])/176 + (1190069*s[51])/1056 + (698491*s[52])/792 - 
       (1661455*s[53])/198 - (177203*s[54])/132 - (169692841*s[55])/3168 - 
       (12626965*s[56])/1056 + (70463*s[57])/33 - (183733531*s[58])/9504 + 
       (204100285*s[59])/9504 + (2386273691*s[60])/19008 - 
       (16519165*s[61])/2673 + 2*s[67] - (49*s[68])/3 + (98*s[69])/3 - 
       2*s[70] - 4*s[71] - 62*s[73] + (10*s[74])/3 - (10*s[75])/3 - 
       (137*s[76])/3 - 19*s[77] + (157*s[78])/3 - 24*s[79] + (101*s[80])/2 + 
       399*s[82] - 24*s[84] - 4*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*((386*s[2])/3 + (299*s[3])/12 + 
       (819*s[4])/4 + (145383*s[5])/176 + (587839*s[6])/352 + 
       (113299019*s[7])/9504 - (4416319*s[8])/28512 - (26563109*s[9])/2592 - 
       (2970739*s[10])/648 - (243200641*s[11])/19008 - 
       (235182149*s[12])/19008 - (1971565*s[13])/264 - 
       (42606593*s[14])/9504 - (5127271*s[15])/288 - (34326823*s[16])/1584 - 
       (386630327*s[17])/19008 - (14901469*s[18])/7776 - 
       (22177859*s[19])/7776 - (2217998315*s[20])/85536 - 
       (224625911*s[21])/21384 + (264385871*s[22])/42768 + 
       (8933083*s[23])/2112 + (2598068483*s[24])/171072 - 
       (22662622657*s[25])/1539648 + (14528385775*s[26])/1539648 + 20*s[29] - 
       (27*s[30])/2 + (119*s[31])/3 - (125*s[32])/6 - (97*s[33])/24 - 
       (154*s[34])/3 + 47*s[35] - (28*s[36])/9 - (455*s[37])/18 + 
       (1253*s[38])/4 - 540*s[39] + (5956*s[40])/9 - (6497*s[41])/12 + 
       (11267*s[42])/36 + (304819*s[43])/198 - (1559099*s[44])/1584 + 
       (716777*s[45])/396 - (2051627*s[46])/198 - (8683399*s[47])/9504 + 
       (21101477*s[48])/9504 - (60733049*s[49])/9504 + 
       (12787655*s[50])/1584 - (831761*s[51])/9504 - (147523*s[52])/4752 - 
       (1760021*s[53])/297 - (654223*s[54])/396 - (13908751*s[55])/352 - 
       (26794169*s[56])/3168 - (10220797*s[57])/1188 - 
       (34431571*s[58])/3168 + (123799283*s[59])/9504 + 
       (5521747523*s[60])/57024 - (285739585*s[61])/64152 + 3*s[65] + 
       12*s[66] - 20*s[67] - 44*s[68] + 23*s[69] + 7*s[70] - 10*s[71] - 
       26*s[72] - 106*s[73] + (59*s[74])/2 - (59*s[75])/2 - 75*s[76] - 
       41*s[77] + 68*s[78] - (92*s[79])/3 + (73*s[80])/9 + (1939*s[82])/3 + 
       3*s[83] - 90*s[84] - (4*s[85])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*((2*s[2])/3 + (9*s[3])/2 - 
       (35*s[4])/4 + (2077*s[5])/88 + (16339*s[6])/528 + (974599*s[7])/4752 - 
       (10145*s[8])/14256 - (230221*s[9])/1296 - (64435*s[10])/648 - 
       (1840103*s[11])/9504 - (1458349*s[12])/9504 - (36601*s[13])/528 - 
       (90461*s[14])/594 - (51965*s[15])/144 - (312737*s[16])/792 - 
       (4178947*s[17])/9504 - (51749*s[18])/972 - (63563*s[19])/1944 - 
       (23043325*s[20])/42768 - (5085227*s[21])/21384 + 
       (4326863*s[22])/42768 - (2795*s[23])/352 + (22314913*s[24])/85536 - 
       (144134003*s[25])/769824 + (129219707*s[26])/769824 - (2*s[30])/3 + 
       (2*s[34])/3 + (8*s[35])/3 + (14*s[36])/9 - (119*s[37])/36 - 5*s[38] + 
       (35*s[39])/3 - (101*s[40])/9 + (17*s[41])/3 - (619*s[42])/36 + 
       (617*s[43])/396 + (4849*s[44])/1584 + (17725*s[45])/396 - 
       (13073*s[46])/66 - (4727*s[47])/297 + (27589*s[48])/1188 - 
       (68839*s[49])/4752 + (135073*s[50])/792 - (56095*s[51])/4752 - 
       (75289*s[52])/4752 - (12547*s[53])/88 + (369*s[54])/88 - 
       (64387*s[55])/66 - (1186895*s[56])/4752 - (809021*s[57])/1782 - 
       (6597001*s[58])/42768 + (7498027*s[59])/42768 + 
       (50410351*s[60])/28512 - (57793963*s[61])/384912 + s[74]/3 - s[75]/3 - 
       (16*s[79])/3 + (8*s[80])/9 + 44*s[82] + 8*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*((2*s[2])/3 + (9*s[3])/2 + 
       (7*s[4])/4 + (3569*s[5])/264 + (3701*s[6])/176 + (305587*s[7])/1584 - 
       (69367*s[8])/4752 - (66827*s[9])/432 - (17603*s[10])/216 - 
       (585589*s[11])/3168 - (544739*s[12])/3168 - (56315*s[13])/792 - 
       (68119*s[14])/792 - (5101*s[15])/16 - (293135*s[16])/792 - 
       (386731*s[17])/1056 - (30917*s[18])/648 - (10703*s[19])/324 - 
       (1648457*s[20])/3564 - (2528129*s[21])/14256 + (1330183*s[22])/14256 + 
       (388885*s[23])/3168 + (6554183*s[24])/28512 - 
       (53068177*s[25])/256608 + (36273835*s[26])/256608 + (2*s[33])/3 + 
       (4*s[34])/3 + (8*s[35])/3 + (14*s[36])/9 - (119*s[37])/36 - 5*s[38] + 
       (35*s[39])/3 - (101*s[40])/9 + (17*s[41])/3 - (619*s[42])/36 + 
       (617*s[43])/396 + (4849*s[44])/1584 + (17725*s[45])/396 - 
       (13073*s[46])/66 - (4727*s[47])/297 + (27589*s[48])/1188 - 
       (68839*s[49])/4752 + (135073*s[50])/792 - (56095*s[51])/4752 - 
       (75289*s[52])/4752 - (12547*s[53])/88 + (369*s[54])/88 - 
       (64387*s[55])/66 - (1186895*s[56])/4752 - (809021*s[57])/1782 - 
       (6597001*s[58])/42768 + (7498027*s[59])/42768 + 
       (50410351*s[60])/28512 - (57793963*s[61])/384912 + s[74]/3 - s[75]/3 - 
       (16*s[79])/3 + (8*s[80])/9 + 44*s[82] + 8*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*((2*s[2])/3 + (9*s[3])/2 - 
       (35*s[4])/4 + (1327*s[5])/88 + (7565*s[6])/528 + (669733*s[7])/4752 + 
       (28033*s[8])/14256 - (151111*s[9])/1296 - (54067*s[10])/648 - 
       (1223081*s[11])/9504 - (858895*s[12])/9504 - (17773*s[13])/528 - 
       (269927*s[14])/2376 - (40259*s[15])/144 - (232763*s[16])/792 - 
       (3368569*s[17])/9504 - (38077*s[18])/1944 - (25685*s[19])/486 - 
       (16612843*s[20])/42768 - (3364787*s[21])/21384 + 
       (2877395*s[22])/42768 - (109379*s[23])/1056 + (19592935*s[24])/85536 - 
       (94377485*s[25])/769824 + (81577289*s[26])/769824 - (2*s[30])/3 + 
       (2*s[34])/3 + (8*s[35])/3 + (14*s[36])/9 - (317*s[37])/36 - 6*s[38] + 
       (151*s[39])/6 - (445*s[40])/18 + (115*s[41])/6 - (1501*s[42])/36 + 
       (1355*s[43])/396 + (10501*s[44])/1584 + (16321*s[45])/396 - 
       (4372*s[46])/33 - (70099*s[47])/2376 + (103283*s[48])/2376 - 
       (122245*s[49])/4752 + (98887*s[50])/792 - (187045*s[51])/4752 - 
       (154021*s[52])/4752 - (10123*s[53])/88 - (12449*s[54])/264 - 
       (73223*s[55])/88 - (681473*s[56])/4752 - (1334495*s[57])/1782 + 
       (1289753*s[58])/42768 + (1472005*s[59])/42768 + 
       (42890401*s[60])/28512 - (37845283*s[61])/384912 + s[74]/3 - s[75]/3 - 
       (16*s[79])/3 + (8*s[80])/9 + (97*s[82])/2 + 8*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*((2*s[2])/3 + (9*s[3])/2 - 
       (47*s[4])/4 + (4883*s[5])/264 + (3123*s[6])/176 + (218551*s[7])/1584 + 
       (15827*s[8])/4752 - (51365*s[9])/432 - (18017*s[10])/216 - 
       (386383*s[11])/3168 - (249089*s[12])/3168 - (10291*s[13])/396 - 
       (106945*s[14])/792 - (4457*s[15])/16 - (236921*s[16])/792 - 
       (129623*s[17])/352 - (7327*s[18])/324 - (30163*s[19])/648 - 
       (2862331*s[20])/7128 - (2381663*s[21])/14256 + (947017*s[22])/14256 - 
       (410153*s[23])/3168 + (6226601*s[24])/28512 - 
       (27641575*s[25])/256608 + (26855749*s[26])/256608 + (2*s[33])/3 + 
       (4*s[34])/3 + (8*s[35])/3 + (14*s[36])/9 - (317*s[37])/36 - 6*s[38] + 
       (151*s[39])/6 - (445*s[40])/18 + (115*s[41])/6 - (1501*s[42])/36 + 
       (1355*s[43])/396 + (10501*s[44])/1584 + (16321*s[45])/396 - 
       (4372*s[46])/33 - (70099*s[47])/2376 + (103283*s[48])/2376 - 
       (122245*s[49])/4752 + (98887*s[50])/792 - (187045*s[51])/4752 - 
       (154021*s[52])/4752 - (10123*s[53])/88 - (12449*s[54])/264 - 
       (73223*s[55])/88 - (681473*s[56])/4752 - (1334495*s[57])/1782 + 
       (1289753*s[58])/42768 + (1472005*s[59])/42768 + 
       (42890401*s[60])/28512 - (37845283*s[61])/384912 + s[74]/3 - s[75]/3 - 
       (16*s[79])/3 + (8*s[80])/9 + (97*s[82])/2 + 8*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      (-38*s[2] + (21*s[3])/2 + (951*s[4])/4 + (11849*s[5])/132 + 
       (26315*s[6])/132 + (246403*s[7])/88 - (441197*s[8])/1188 - 
       (258691*s[9])/108 - (11051*s[10])/27 - (1265359*s[11])/396 - 
       (3059557*s[12])/792 - (1825589*s[13])/792 + (166519*s[14])/792 - 
       (234911*s[15])/72 - (851375*s[16])/198 - (966085*s[17])/396 - 
       (85777*s[18])/162 - (72757*s[19])/324 - (18812983*s[20])/3564 - 
       (11820593*s[21])/7128 + (10973029*s[22])/7128 + (3815863*s[23])/792 + 
       (19492741*s[24])/7128 - (70121267*s[25])/16038 + 
       (33610157*s[26])/16038 + 9*s[30] - 10*s[31] + 7*s[32] + 9*s[33] + 
       5*s[34] - 32*s[35] + (14*s[36])/3 + 28*s[37] + (281*s[38])/2 - 
       (2823*s[39])/4 + (9145*s[40])/12 - (1125*s[41])/2 + (3344*s[42])/3 + 
       (35551*s[43])/132 - (23527*s[44])/44 + (2977*s[45])/11 - 
       (443149*s[46])/132 + (432529*s[47])/792 - (506849*s[48])/792 - 
       (1266061*s[49])/792 + (176285*s[50])/66 + (75167*s[51])/88 + 
       (122927*s[52])/198 - (329477*s[53])/198 + (16359*s[54])/44 - 
       (2637433*s[55])/264 - (725405*s[56])/264 + (3383665*s[57])/396 - 
       (5406941*s[58])/792 + (569077*s[59])/88 + (120949267*s[60])/4752 - 
       (3311419*s[61])/2673 + 9*s[68] - 17*s[69] + (9*s[71])/2 + 8*s[72] + 
       36*s[73] - (17*s[74])/2 + (17*s[75])/2 + 18*s[76] + 9*s[77] - 
       22*s[78] + 104*s[79] - (107*s[80])/3 + 68*s[82] - 6*s[83] + 24*s[84] + 
       8*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*(-170*s[2] + (263*s[3])/4 - (174881*s[4])/48 - 
       (1394473*s[5])/528 - (3069373*s[6])/528 - (32052167*s[7])/528 + 
       (67231595*s[8])/14256 + (66557017*s[9])/1296 + (22236911*s[10])/1296 + 
       (635976767*s[11])/9504 + (689424037*s[12])/9504 + 
       (103332263*s[13])/2376 + (31392499*s[14])/4752 + 
       (35751653*s[15])/432 + (495388141*s[16])/4752 + 
       (775018169*s[17])/9504 + (18429043*s[18])/1944 + 
       (22568471*s[19])/1944 + (2585461163*s[20])/21384 + 
       (1840474249*s[21])/42768 - (85993337*s[22])/2673 - 
       (599739133*s[23])/9504 - (5956050481*s[24])/85536 + 
       (65666534147*s[25])/769824 - (35277494381*s[26])/769824 + 
       (19*s[30])/12 - (269*s[31])/6 + 37*s[32] - (1651*s[33])/48 + 
       (1163*s[34])/12 + (161*s[35])/2 + (2678*s[36])/9 - (1867*s[37])/9 - 
       (6386*s[38])/3 + (66449*s[39])/8 - (656617*s[40])/72 + 
       (174491*s[41])/24 - (844019*s[42])/72 - (5861855*s[43])/792 + 
       (25305905*s[44])/3168 - (6054539*s[45])/792 + (12477727*s[46])/198 - 
       (21678301*s[47])/9504 - (11741737*s[48])/9504 + 
       (342741343*s[49])/9504 - (39792113*s[50])/792 - 
       (72658757*s[51])/9504 - (54272861*s[52])/9504 + 
       (40809895*s[53])/1188 + (3144355*s[54])/792 + (228106385*s[55])/1056 + 
       (161525087*s[56])/3168 - (77029043*s[57])/1584 + 
       (2694838823*s[58])/28512 - (2819929241*s[59])/28512 - 
       (30290279809*s[60])/57024 + (6388643431*s[61])/256608 + 8*s[66] - 
       8*s[67] + 18*s[68] - 60*s[69] - 9*s[70] - (27*s[71])/2 - 23*s[72] + 
       (305*s[73])/3 + (163*s[74])/4 - (163*s[75])/4 + 73*s[76] + 
       (191*s[77])/6 - (259*s[78])/3 - (1927*s[79])/3 + (625*s[80])/9 - 
       (4024*s[82])/3 - (35*s[83])/4 - (447*s[84])/2 + (28*s[85])/3)*
      \[Zeta][2] + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*
      ((69*s[2])/8 + 9*s[3] + (1213*s[4])/16 + (23135*s[5])/176 + 
       (228631*s[6])/1056 + (735051*s[7])/352 - (1219921*s[8])/9504 - 
       (1537415*s[9])/864 - (297995*s[10])/432 - (13961845*s[11])/6336 - 
       (14122463*s[12])/6336 - (4050815*s[13])/3168 - (902719*s[14])/1584 - 
       (899759*s[15])/288 - (11972045*s[16])/3168 - (21297583*s[17])/6336 - 
       (829585*s[18])/2592 - (1157213*s[19])/2592 - (127928285*s[20])/28512 - 
       (47013473*s[21])/28512 + (31109521*s[22])/28512 + 
       (9466499*s[23])/6336 + (143542775*s[24])/57024 - 
       (1376969113*s[25])/513216 + (796423195*s[26])/513216 + (5*s[30])/4 + 
       (7*s[31])/4 - s[32]/8 + (13*s[33])/16 - 2*s[34] + 2*s[35] - 
       (7*s[36])/3 - (679*s[37])/48 + (355*s[38])/24 - (400*s[39])/3 + 
       (985*s[40])/6 - (7631*s[41])/48 + (3063*s[42])/16 + 
       (24703*s[43])/132 - (221473*s[44])/1056 + (223501*s[45])/1056 - 
       (601977*s[46])/352 - (9509*s[47])/176 + (92693*s[48])/528 - 
       (69007*s[49])/66 + (810203*s[50])/528 + (41993*s[51])/528 - 
       (2039*s[52])/352 - (3537763*s[53])/3168 - (52303*s[54])/176 - 
       (694211*s[55])/99 - (2049865*s[56])/1584 - (1667477*s[57])/1188 - 
       (48291043*s[58])/28512 + (30155681*s[59])/14256 + 
       (33583391*s[60])/2112 - (355316933*s[61])/513216 - 4*s[68] + 
       (13*s[69])/2 + (11*s[71])/8 - (15*s[73])/2 + (5*s[74])/8 - 
       (5*s[75])/8 - 3*s[76] - 4*s[77] + (7*s[78])/2 + (33*s[79])/2 - 
       (335*s[80])/24 + (439*s[82])/2 + 13*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*((41*s[2])/4 + (37*s[3])/4 + 
       (1783*s[4])/16 + (145213*s[5])/1056 + (190637*s[6])/528 + 
       (3964657*s[7])/1584 - (5521*s[8])/33 - (25231*s[9])/12 - 
       (68657*s[10])/96 - (1899143*s[11])/704 - (6018839*s[12])/2112 - 
       (5388865*s[13])/3168 - (163135*s[14])/264 - (977557*s[15])/288 - 
       (6773687*s[16])/1584 - (22616119*s[17])/6336 - (113761*s[18])/216 - 
       (273569*s[19])/864 - (48750215*s[20])/9504 - (9533627*s[21])/4752 + 
       (4064035*s[22])/3168 + (16245181*s[23])/6336 + (5696023*s[24])/2112 - 
       (140848835*s[25])/42768 + (170135785*s[26])/85536 - s[30]/4 + 
       (7*s[31])/2 - s[32] - (67*s[33])/16 - s[34]/2 + 6*s[35] + 
       (14*s[36])/3 - (71*s[37])/12 + (391*s[38])/6 - (6065*s[39])/24 + 
       (7153*s[40])/24 - (921*s[41])/4 + (1039*s[42])/3 + (2439*s[43])/8 - 
       (2039*s[44])/8 + (10019*s[45])/24 - 2783*s[46] + (2603*s[47])/96 + 
       (17923*s[48])/96 - (39009*s[49])/32 + (97499*s[50])/48 + 
       (62791*s[51])/288 + (5167*s[52])/24 - (17933*s[53])/12 + 
       (5263*s[54])/24 - (2811053*s[55])/288 - (270865*s[56])/96 + 
       (92087*s[57])/72 - (3512599*s[58])/864 + (3568957*s[59])/864 + 
       (13045765*s[60])/576 - (2733859*s[61])/1944 - (3*s[68])/2 + 3*s[69] - 
       (3*s[71])/2 - 9*s[73] + (3*s[74])/2 - (3*s[75])/2 - (15*s[76])/2 - 
       3*s[77] + 9*s[78] + 22*s[79] - (91*s[80])/6 + 46*s[82] + 20*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w]*
      ((107*s[2])/6 + (121*s[3])/12 - (7891*s[4])/48 - (8275*s[5])/264 + 
       (1795*s[6])/44 - (3662057*s[7])/2376 + (467563*s[8])/2376 + 
       (288113*s[9])/216 + (38285*s[10])/108 + (5442589*s[11])/3168 + 
       (6229945*s[12])/3168 + (5442089*s[13])/4752 - (275273*s[14])/792 + 
       (957121*s[15])/432 + (12264473*s[16])/4752 + (16177055*s[17])/9504 + 
       (77233*s[18])/1296 + (148865*s[19])/324 + (20495797*s[20])/7128 + 
       (3267761*s[21])/4752 - (12411461*s[22])/14256 - 
       (19641377*s[23])/9504 - (54372319*s[24])/28512 + 
       (52983245*s[25])/21384 - (41911195*s[26])/42768 - (19*s[30])/12 + 
       (37*s[31])/6 - (5*s[32])/3 - (119*s[33])/16 + (11*s[34])/12 + 
       (37*s[35])/2 + (215*s[36])/9 - (142*s[37])/9 - (485*s[38])/6 + 
       (2741*s[39])/8 - (25573*s[40])/72 + (6905*s[41])/24 - 
       (38009*s[42])/72 - (114659*s[43])/792 + (911417*s[44])/3168 - 
       (103391*s[45])/792 + (168911*s[46])/99 - (1930777*s[47])/9504 + 
       (3063707*s[48])/9504 + (9985267*s[49])/9504 - (1303589*s[50])/792 - 
       (3860777*s[51])/9504 - (2259029*s[52])/9504 + (1237987*s[53])/1188 + 
       (270493*s[54])/792 + (19664671*s[55])/3168 + (2733523*s[56])/3168 - 
       (10014973*s[57])/4752 + (25618097*s[58])/9504 - (9248461*s[59])/3168 - 
       (849336445*s[60])/57024 + (101616551*s[61])/256608 - 3*s[68] + 
       6*s[69] - s[70] - (5*s[71])/2 - 3*s[72] - (53*s[73])/3 + 
       (27*s[74])/4 - (27*s[75])/4 - 12*s[76] - (29*s[77])/6 + (49*s[78])/3 - 
       45*s[79] - (83*s[80])/9 - 22*s[82] - s[83]/4 - (69*s[84])/2 + 
       20*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*
      ((131*s[2])/8 + 21*s[3] + (5189*s[4])/24 + (68731*s[5])/352 + 
       (466309*s[6])/1056 + (1615855*s[7])/396 - (957877*s[8])/3168 - 
       (980051*s[9])/288 - (369301*s[10])/288 - (1156291*s[11])/264 - 
       (1612123*s[12])/352 - (8356009*s[13])/3168 - (784357*s[14])/1056 - 
       (565213*s[15])/96 - (22826821*s[16])/3168 - (19294331*s[17])/3168 - 
       (595247*s[18])/864 - (174109*s[19])/216 - (39897623*s[20])/4752 - 
       (1220435*s[21])/396 + (20034001*s[22])/9504 + (12252143*s[23])/3168 + 
       (45185341*s[24])/9504 - (103608979*s[25])/19008 + 
       (58839259*s[26])/19008 + (11*s[31])/4 - (27*s[32])/8 - (19*s[33])/4 + 
       s[34]/2 + 3*s[35] - (31*s[36])/3 - (473*s[37])/48 + (789*s[38])/8 - 
       (9827*s[39])/24 + (3753*s[40])/8 - (18571*s[41])/48 + 
       (9023*s[42])/16 + (127585*s[43])/264 - (477821*s[44])/1056 + 
       (649651*s[45])/1056 - (1527179*s[46])/352 + (25273*s[47])/3168 + 
       (846049*s[48])/3168 - (7068475*s[49])/3168 + (916633*s[50])/264 + 
       (120251*s[51])/352 + (772781*s[52])/3168 - (7977613*s[53])/3168 - 
       (37549*s[54])/176 - (50909191*s[55])/3168 - (11984575*s[56])/3168 + 
       (1088647*s[57])/2376 - (40922471*s[58])/7128 + 
       (177669467*s[59])/28512 + (353711981*s[60])/9504 - 
       (999760651*s[61])/513216 - 4*s[68] + (15*s[69])/2 - (3*s[71])/8 - 
       (27*s[73])/2 + (11*s[74])/8 - (11*s[75])/8 - 8*s[76] - 6*s[77] + 
       (21*s[78])/2 + (35*s[79])/2 - (59*s[80])/8 + 215*s[82] + 23*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v]*
      ((-799*s[2])/12 + (19*s[3])/2 + (6977*s[4])/8 + (17517*s[5])/44 + 
       (171667*s[6])/264 + (26347241*s[7])/2376 - (44908*s[8])/33 - 
       (168457*s[9])/18 - (19901*s[10])/8 - (19301371*s[11])/1584 - 
       (458893*s[12])/33 - (39175715*s[13])/4752 + (901355*s[14])/1584 - 
       (1559779*s[15])/108 - (85402547*s[16])/4752 - (58984033*s[17])/4752 - 
       (1190407*s[18])/648 - (274589*s[19])/162 - (18488119*s[20])/891 - 
       (98856851*s[21])/14256 + (9327085*s[22])/1584 + 
       (77729593*s[23])/4752 + (55282159*s[24])/4752 - 
       (2098975991*s[25])/128304 + (1049383787*s[26])/128304 + (67*s[30])/6 - 
       (85*s[31])/6 + (163*s[32])/12 - (485*s[33])/24 + (58*s[34])/3 - 
       32*s[35] - (635*s[36])/18 + (10013*s[37])/72 + (6239*s[38])/12 - 
       (16219*s[39])/8 + (154871*s[40])/72 - (19613*s[41])/12 + 
       (54139*s[42])/18 + (1023289*s[43])/792 - (611609*s[44])/396 + 
       (2126269*s[45])/1584 - (2111217*s[46])/176 + (716945*s[47])/594 - 
       (2168317*s[48])/2376 - (7333699*s[49])/1188 + (3683903*s[50])/396 + 
       (1304317*s[51])/594 + (4163191*s[52])/2376 - (9856651*s[53])/1584 + 
       (116737*s[54])/264 - (7663223*s[55])/198 - (23933227*s[56])/2376 + 
       (17286035*s[57])/891 - (908006215*s[58])/42768 + 
       (449906483*s[59])/21384 + (2718303679*s[60])/28512 - 
       (3622353899*s[61])/769824 + (43*s[68])/3 - (86*s[69])/3 + 
       (13*s[71])/4 + 16*s[72] + 57*s[73] - (73*s[74])/4 + (73*s[75])/4 + 
       (80*s[76])/3 + 15*s[77] - (112*s[78])/3 + (527*s[79])/3 - 
       (31*s[80])/36 - 125*s[82] - 12*s[83] + 72*s[84] + 26*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((1115*s[2])/3 - (173*s[3])/6 + (9341*s[4])/4 + (28779*s[5])/11 + 
       (378097*s[6])/66 + (115912165*s[7])/2376 - (827950*s[8])/297 - 
       (4445813*s[9])/108 - (420199*s[10])/27 - (10427315*s[11])/198 - 
       (42832535*s[12])/792 - (76155611*s[13])/2376 - (8090207*s[14])/792 - 
       (15247351*s[15])/216 - (51280727*s[16])/594 - (88842887*s[17])/1188 - 
       (635975*s[18])/81 - (3237883*s[19])/324 - (356195821*s[20])/3564 - 
       (29941271*s[21])/792 + (180872567*s[22])/7128 + 
       (97742935*s[23])/2376 + (405371687*s[24])/7128 - 
       (1379861651*s[25])/21384 + (798682925*s[26])/21384 - 4*s[30] + 
       104*s[31] - (202*s[32])/3 + (43*s[33])/3 - 196*s[34] + (70*s[35])/3 - 
       (479*s[36])/2 - (1003*s[37])/18 + (9755*s[38])/6 - (145475*s[39])/24 + 
       (162679*s[40])/24 - (137045*s[41])/24 + (191945*s[42])/24 + 
       (1993525*s[43])/264 - (1176837*s[44])/176 + (907861*s[45])/99 - 
       (50947601*s[46])/792 - (587135*s[47])/1584 + (7618579*s[48])/1584 - 
       (54649543*s[49])/1584 + (1682083*s[50])/33 + (7171883*s[51])/1584 + 
       (5388533*s[52])/1584 - (11021939*s[53])/297 - (429547*s[54])/99 - 
       (375007067*s[55])/1584 - (264717727*s[56])/4752 + 
       (15763093*s[57])/3564 - (3594273653*s[58])/42768 + 
       (3951382835*s[59])/42768 + (1748137591*s[60])/3168 - 
       (10870071143*s[61])/384912 - 88*s[68] + 168*s[69] + 8*s[70] - 
       16*s[71] - 8*s[72] - (1045*s[73])/3 + 23*s[74] - 23*s[75] - 
       222*s[76] - 122*s[77] + 277*s[78] + (490*s[79])/3 + (218*s[80])/9 + 
       1550*s[82] + s[83] - 118*s[84] + 32*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((2527*s[2])/6 - (25*s[3])/12 + (25293*s[4])/8 + (236939*s[5])/66 + 
       (704141*s[6])/88 + (323282413*s[7])/4752 - (29616929*s[8])/7128 - 
       (18635753*s[9])/324 - (6910099*s[10])/324 - (349158737*s[11])/4752 - 
       (181111451*s[12])/2376 - (214455793*s[13])/4752 - 
       (68022719*s[14])/4752 - (41857043*s[15])/432 - 
       (141993199*s[16])/1188 - (161487209*s[17])/1584 - 
       (5551823*s[18])/486 - (25278163*s[19])/1944 - (2989803277*s[20])/
        21384 - (2259361817*s[21])/42768 + (1515817561*s[22])/42768 + 
       (140203273*s[23])/2376 + (1683737285*s[24])/21384 - 
       (4341677011*s[25])/48114 + (2514654709*s[26])/48114 - (46*s[30])/3 + 
       118*s[31] - (202*s[32])/3 - (45*s[33])/4 - (502*s[34])/3 + 
       (70*s[35])/3 - (479*s[36])/2 - (1003*s[37])/18 + (9755*s[38])/6 - 
       (145475*s[39])/24 + (162679*s[40])/24 - (137045*s[41])/24 + 
       (191945*s[42])/24 + (1993525*s[43])/264 - (1176837*s[44])/176 + 
       (907861*s[45])/99 - (50947601*s[46])/792 - (587135*s[47])/1584 + 
       (7618579*s[48])/1584 - (54649543*s[49])/1584 + (1682083*s[50])/33 + 
       (7171883*s[51])/1584 + (5388533*s[52])/1584 - (11021939*s[53])/297 - 
       (429547*s[54])/99 - (375007067*s[55])/1584 - (264717727*s[56])/4752 + 
       (15763093*s[57])/3564 - (3594273653*s[58])/42768 + 
       (3951382835*s[59])/42768 + (1748137591*s[60])/3168 - 
       (10870071143*s[61])/384912 - 88*s[68] + 168*s[69] + 8*s[70] - 
       16*s[71] - 8*s[72] - (1045*s[73])/3 + 23*s[74] - 23*s[75] - 
       222*s[76] - 122*s[77] + 277*s[78] + (490*s[79])/3 + (218*s[80])/9 + 
       1550*s[82] + s[83] - 118*s[84] + 32*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*(-167*s[2] - (5*s[3])/2 - 
       (3529*s[4])/2 - (136179*s[5])/88 - (273629*s[6])/88 - 
       (3172459*s[7])/99 + (1746559*s[8])/792 + (1952171*s[9])/72 + 
       (702733*s[10])/72 + (4609991*s[11])/132 + (4857701*s[12])/132 + 
       (8684309*s[13])/396 + (299935*s[14])/66 + (3284801*s[15])/72 + 
       (5561201*s[16])/99 + (36834167*s[17])/792 + (984245*s[18])/216 + 
       (380227*s[19])/54 + (76634651*s[20])/1188 + (18369259*s[21])/792 - 
       (5006684*s[22])/297 - (22871555*s[23])/792 - (90065161*s[24])/2376 + 
       (627713041*s[25])/14256 - (341955157*s[26])/14256 - 3*s[30] - 
       48*s[31] + 31*s[32] - (105*s[33])/4 + 90*s[34] + 20*s[35] + 
       (520*s[36])/3 - 163*s[37] - 1015*s[38] + 3715*s[39] - 
       (12127*s[40])/3 + (6539*s[41])/2 - (30043*s[42])/6 - 
       (127961*s[43])/33 + (992071*s[44])/264 - (97121*s[45])/22 + 
       (2171599*s[46])/66 - (375953*s[47])/792 - (1071857*s[48])/792 + 
       (14806667*s[49])/792 - (1754371*s[50])/66 - (2390665*s[51])/792 - 
       (1709167*s[52])/792 + (1866709*s[53])/99 + (103685*s[54])/33 + 
       (10500857*s[55])/88 + (21012473*s[56])/792 - (11519341*s[57])/1188 + 
       (319241533*s[58])/7128 - (348840247*s[59])/7128 - 
       (1348751957*s[60])/4752 + (847903567*s[61])/64152 - 8*s[66] + 
       8*s[67] + 26*s[68] - 44*s[69] - 4*s[70] - 6*s[71] + 4*s[72] + 
       140*s[73] - s[74] + s[75] + 106*s[76] + 32*s[77] - 88*s[78] - 
       192*s[79] - 16*s[80] - 1216*s[82] - 24*s[84] + 32*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      ((209*s[2])/6 + (47*s[3])/2 + (1613*s[4])/4 + (34631*s[5])/88 + 
       (399503*s[6])/528 + (37695731*s[7])/4752 - (7156117*s[8])/14256 - 
       (8635001*s[9])/1296 - (1682147*s[10])/648 - (81806971*s[11])/9504 - 
       (84738365*s[12])/9504 - (8420581*s[13])/1584 - (2777881*s[14])/2376 - 
       (1661753*s[15])/144 - (154441*s[16])/11 - (113155439*s[17])/9504 - 
       (541001*s[18])/486 - (3679477*s[19])/1944 - (685731485*s[20])/42768 - 
       (63076901*s[21])/10692 + (177202825*s[22])/42768 + 
       (21043129*s[23])/3168 + (827759645*s[24])/85536 - 
       (8308980523*s[25])/769824 + (4633856011*s[26])/769824 - (31*s[30])/3 + 
       12*s[31] - 7*s[32] + (27*s[33])/4 - (59*s[34])/3 + (34*s[35])/3 - 
       (509*s[36])/9 - (1189*s[37])/36 + (793*s[38])/3 - (10201*s[39])/12 + 
       (33323*s[40])/36 - (9593*s[41])/12 + (19301*s[42])/18 + 
       (19411*s[43])/18 - (136691*s[44])/144 + (48901*s[45])/36 - 
       (110587*s[46])/12 - (29683*s[47])/216 + (153005*s[48])/216 - 
       (2249443*s[49])/432 + (547951*s[50])/72 + (257609*s[51])/432 + 
       (180191*s[52])/432 - (43481*s[53])/8 - (30887*s[54])/24 - 
       (840053*s[55])/24 - (3211199*s[56])/432 - (295423*s[57])/324 - 
       (45272713*s[58])/3888 + (51134935*s[59])/3888 + 
       (212363095*s[60])/2592 - (137295493*s[61])/34992 - 10*s[68] + 
       18*s[69] - 2*s[70] - s[71] - 2*s[72] - 34*s[73] + (8*s[74])/3 - 
       (8*s[75])/3 - 22*s[76] - 10*s[77] + 23*s[78] - (104*s[79])/3 + 
       (505*s[80])/9 + 548*s[82] + 36*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      ((185*s[2])/6 + (45*s[3])/2 + (601*s[4])/2 + (12221*s[5])/24 + 
       (12887*s[6])/16 + (1218899*s[7])/144 - (169889*s[8])/432 - 
       (3138467*s[9])/432 - (648605*s[10])/216 - (2614151*s[11])/288 - 
       (2642953*s[12])/288 - (377419*s[13])/72 - (157001*s[14])/72 - 
       (1825987*s[15])/144 - (276793*s[16])/18 - (1299233*s[17])/96 - 
       (851729*s[18])/648 - (636953*s[19])/324 - (1483999*s[20])/81 - 
       (8972863*s[21])/1296 + (5787593*s[22])/1296 + (1569059*s[23])/288 + 
       (27269185*s[24])/2592 - (254715551*s[25])/23328 + 
       (150919037*s[26])/23328 - s[30] + 4*s[31] - 8*s[32] + (49*s[33])/12 - 
       (46*s[34])/3 + (34*s[35])/3 - (509*s[36])/9 - (805*s[37])/36 + 
       263*s[38] - (9401*s[39])/12 + (30923*s[40])/36 - (8777*s[41])/12 + 
       (17189*s[42])/18 + (206417*s[43])/198 - (1469905*s[44])/1584 + 
       (516983*s[45])/396 - (1152521*s[46])/132 - (446141*s[47])/2376 + 
       (1872307*s[48])/2376 - (24312809*s[49])/4752 + (5764973*s[50])/792 + 
       (2436091*s[51])/4752 + (1561045*s[52])/4752 - (1365305*s[53])/264 - 
       (386413*s[54])/264 - (8818027*s[55])/264 - (32460397*s[56])/4752 - 
       (6575117*s[57])/3564 - (458220779*s[58])/42768 + 
       (524360213*s[59])/42768 + (2252053493*s[60])/28512 - 
       (1400221895*s[61])/384912 - 10*s[68] + 18*s[69] - 2*s[70] - s[71] - 
       2*s[72] - 34*s[73] + (8*s[74])/3 - (8*s[75])/3 - 22*s[76] - 10*s[77] + 
       23*s[78] - (104*s[79])/3 + (505*s[80])/9 + 596*s[82] + 36*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*
      ((63*s[2])/8 + (1777*s[3])/48 - (8909*s[4])/32 - (60935*s[5])/528 - 
       (62299*s[6])/352 - (60640087*s[7])/19008 + (3466099*s[8])/9504 + 
       (1183873*s[9])/432 + (265817*s[10])/432 + (22462601*s[11])/6336 + 
       (12869677*s[12])/3168 + (46822451*s[13])/19008 - 
       (2130409*s[14])/6336 + (7033501*s[15])/1728 + (1499870*s[16])/297 + 
       (63513601*s[17])/19008 + (631039*s[18])/1296 + (1226335*s[19])/2592 + 
       (164379205*s[20])/28512 + (35618635*s[21])/19008 - 
       (98216861*s[22])/57024 - (46713983*s[23])/9504 - 
       (92657269*s[24])/28512 + (5086231*s[25])/1056 - 
       (22118771*s[26])/9504 + (2*s[29])/3 - (5*s[30])/3 + (2*s[31])/3 + 
       s[32] + (173*s[33])/48 + (29*s[34])/3 + (75*s[35])/4 + 
       (535*s[36])/18 - (767*s[37])/18 - 161*s[38] + (31805*s[39])/48 - 
       (99743*s[40])/144 + (26165*s[41])/48 - (143125*s[42])/144 - 
       (683905*s[43])/1584 + (1518959*s[44])/3168 - (139999*s[45])/396 + 
       (5713955*s[46])/1584 - (3575785*s[47])/9504 + (3469781*s[48])/9504 + 
       (19116043*s[49])/9504 - (2214599*s[50])/792 - (6598619*s[51])/9504 - 
       (5460989*s[52])/9504 + (4545245*s[53])/2376 - (34841*s[54])/198 + 
       (4067257*s[55])/352 + (8798891*s[56])/3168 - (2296483*s[57])/396 + 
       (178097375*s[58])/28512 - (182072795*s[59])/28512 - 
       (1598972641*s[60])/57024 + (156175979*s[61])/128304 - 3*s[68] + 
       (10*s[69])/3 + s[70]/2 - (5*s[71])/4 - (7*s[72])/2 - (49*s[73])/6 + 
       (57*s[74])/8 - (57*s[75])/8 - (17*s[76])/6 - (13*s[77])/4 + 
       (23*s[78])/3 - 51*s[79] - (133*s[80])/18 + 179*s[82] - s[83]/4 - 
       (75*s[84])/2 + 36*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^3*((113*s[2])/8 + (33*s[3])/2 + (529*s[4])/6 + 
       (19235*s[5])/352 + (16217*s[6])/66 + (5269535*s[7])/3168 - 
       (62939*s[8])/528 - (63499*s[9])/48 - (19207*s[10])/32 - 
       (3735209*s[11])/2112 - (3838339*s[12])/2112 - (3266671*s[13])/3168 - 
       (5177*s[14])/11 - (353963*s[15])/144 - (9599791*s[16])/3168 - 
       (17169703*s[17])/6336 - (122513*s[18])/432 - (312515*s[19])/864 - 
       (33256241*s[20])/9504 - (3020929*s[21])/2376 + (2622715*s[22])/3168 + 
       (7977367*s[23])/6336 + (4336237*s[24])/2112 - (184542847*s[25])/
        85536 + (53893547*s[26])/42768 - s[30]/2 + (9*s[31])/4 - 
       (5*s[32])/8 - (23*s[33])/8 + (15*s[34])/2 + 8*s[35] + 14*s[36] - 
       (907*s[37])/48 + (403*s[38])/24 - (935*s[39])/6 + (637*s[40])/3 - 
       (8687*s[41])/48 + (11029*s[42])/48 + (30737*s[43])/132 - 
       (80623*s[44])/352 + (363481*s[45])/1056 - (2494079*s[46])/1056 - 
       (52777*s[47])/1584 + (396155*s[48])/1584 - (403709*s[49])/396 + 
       (322297*s[50])/176 + (207079*s[51])/1584 + (265565*s[52])/3168 - 
       (4315511*s[53])/3168 + (77291*s[54])/528 - (3495983*s[55])/396 - 
       (1278547*s[56])/528 - (9457*s[57])/33 - (28526693*s[58])/9504 + 
       (14854783*s[59])/4752 + (380197555*s[60])/19008 - 
       (213438011*s[61])/171072 - 3*s[68] + (9*s[69])/2 - s[71]/8 - 
       (15*s[73])/2 + (17*s[74])/8 - (17*s[75])/8 - 4*s[76] - 4*s[77] + 
       (11*s[78])/2 + (69*s[79])/2 - (851*s[80])/24 + (381*s[82])/2 + 
       39*s[85])*\[Zeta][2] + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
      ((709*s[2])/24 + (2081*s[3])/48 + (10979*s[4])/32 + (18771*s[5])/88 + 
       (710723*s[6])/1056 + (35167535*s[7])/6336 - (4384001*s[8])/9504 - 
       (1953869*s[9])/432 - (373745*s[10])/216 - (38122889*s[11])/6336 - 
       (5035091*s[12])/792 - (2625243*s[13])/704 - (5077229*s[14])/6336 - 
       (4565801*s[15])/576 - (5204455*s[16])/528 - (52300639*s[17])/6336 - 
       (563993*s[18])/648 - (3101041*s[19])/2592 - (315473251*s[20])/28512 - 
       (230001947*s[21])/57024 + (160888483*s[22])/57024 + 
       (1449883*s[23])/264 + (5838289*s[24])/891 - (1947913255*s[25])/
        256608 + (1087240177*s[26])/256608 - (2*s[29])/3 + s[30]/3 + 
       (13*s[31])/3 - (37*s[32])/6 - (847*s[33])/48 + (19*s[34])/3 + 
       (85*s[35])/12 - (26*s[36])/3 - (139*s[37])/6 + (719*s[38])/6 - 
       (25217*s[39])/48 + (28945*s[40])/48 - (8119*s[41])/16 + 
       (33923*s[42])/48 + (123309*s[43])/176 - (319697*s[44])/528 + 
       (72015*s[45])/88 - (1029977*s[46])/176 - (49661*s[47])/792 + 
       (799301*s[48])/1584 - (2475331*s[49])/792 + (607457*s[50])/132 + 
       (65115*s[51])/176 + (220391*s[52])/792 - (667261*s[53])/198 - 
       (84427*s[54])/264 - (34052957*s[55])/1584 - (4105789*s[56])/792 + 
       (2257829*s[57])/4752 - (54711419*s[58])/7128 + 
       (120180331*s[59])/14256 + (59456227*s[60])/1188 - 
       (690196799*s[61])/256608 - 7*s[68] + (44*s[69])/3 + s[70]/2 - 
       (3*s[71])/4 - s[72]/6 - (59*s[73])/2 + (115*s[74])/24 - 
       (115*s[75])/24 - (23*s[76])/2 - (163*s[77])/12 + (67*s[78])/3 + 
       3*s[79] - (37*s[80])/2 + 288*s[82] - s[83]/4 - (47*s[84])/2 + 
       40*s[85])*\[Zeta][2] + HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*
      ((49*s[2])/12 + (1175*s[3])/12 + 488*s[4] + (86509*s[5])/264 + 
       (1003439*s[6])/1056 + (77037937*s[7])/9504 - (16598005*s[8])/28512 - 
       (17313911*s[9])/2592 - (3460829*s[10])/1296 - (165665029*s[11])/
        19008 - (172536401*s[12])/19008 - (1564007*s[13])/297 - 
       (16529597*s[14])/9504 - (10320161*s[15])/864 - (34737493*s[16])/2376 - 
       (79231517*s[17])/6336 - (9644083*s[18])/7776 - (14063135*s[19])/7776 - 
       (1453373003*s[20])/85536 - (261108823*s[21])/42768 + 
       (178548185*s[22])/42768 + (129406663*s[23])/19008 + 
       (1700317343*s[24])/171072 - (16751784559*s[25])/1539648 + 
       (9485576509*s[26])/1539648 - (5*s[30])/6 - (27*s[31])/2 - 
       (17*s[32])/4 - (19*s[33])/8 + 28*s[34] + 2*s[35] - (97*s[36])/18 - 
       (863*s[37])/24 + (1057*s[38])/6 - (6529*s[39])/8 + (70669*s[40])/72 - 
       (9853*s[41])/12 + (10462*s[42])/9 + (755147*s[43])/792 - 
       (1599199*s[44])/1584 + (555569*s[45])/528 - (12823147*s[46])/1584 - 
       (264947*s[47])/9504 + (6003997*s[48])/9504 - (43291861*s[49])/9504 + 
       (10554367*s[50])/1584 + (6926531*s[51])/9504 + (2078287*s[52])/4752 - 
       (22283915*s[53])/4752 - (478955*s[54])/792 - (94717379*s[55])/3168 - 
       (64435507*s[56])/9504 + (4085753*s[57])/3564 - 
       (914463527*s[58])/85536 + (1000484051*s[59])/85536 + 
       (4061203393*s[60])/57024 - (2690213153*s[61])/769824 - (44*s[68])/3 + 
       (43*s[69])/3 - s[71]/4 - 9*s[73] + (7*s[74])/4 - (7*s[75])/4 + 
       (35*s[76])/3 - 18*s[77] + (14*s[78])/3 + 87*s[79] - (539*s[80])/12 + 
       (1009*s[82])/3 + (122*s[85])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      ((13*s[2])/3 + (49*s[3])/4 + (61*s[4])/8 + (9571*s[5])/264 + 
       (62129*s[6])/176 + (897947*s[7])/1188 + (455351*s[8])/14256 - 
       (759503*s[9])/1296 - (80225*s[10])/648 - (9040579*s[11])/9504 - 
       (10306787*s[12])/9504 - (224363*s[13])/264 - (2929073*s[14])/4752 - 
       (13805*s[15])/24 - (246523*s[16])/198 - (8609111*s[17])/9504 - 
       (517613*s[18])/1944 + (205739*s[19])/1944 - (69693245*s[20])/42768 - 
       (32932367*s[21])/42768 + (2036897*s[22])/5346 + (362885*s[23])/1056 + 
       (70046879*s[24])/85536 - (818412349*s[25])/769824 + 
       (612074065*s[26])/769824 - (19*s[30])/3 + 14*s[33] - (5*s[34])/3 + 
       (34*s[35])/3 + (67*s[36])/9 + (209*s[37])/36 - (3*s[38])/2 - 
       (1139*s[39])/12 + (5273*s[40])/36 - (1361*s[41])/12 + (1273*s[42])/9 + 
       (18961*s[43])/99 - (273205*s[44])/1584 + (48541*s[45])/198 - 
       (112723*s[46])/66 - (39337*s[47])/1188 + (386297*s[48])/1188 - 
       (3478199*s[49])/4752 + (942839*s[50])/792 + (237133*s[51])/4752 + 
       (374401*s[52])/4752 - (661543*s[53])/792 + (76927*s[54])/264 - 
       (763051*s[55])/132 - (9745279*s[56])/4752 + (611417*s[57])/1782 - 
       (102884921*s[58])/42768 + (95620967*s[59])/42768 + 
       (412762403*s[60])/28512 - (381250247*s[61])/384912 + s[71] + 
       (13*s[74])/6 - (13*s[75])/6 + s[78] + (100*s[79])/3 - (287*s[80])/9 + 
       (511*s[82])/2 + 44*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*((13*s[2])/3 + (89*s[3])/4 + 
       (777*s[4])/8 + (32683*s[5])/264 + (35433*s[6])/176 + 
       (171883*s[7])/66 - (402133*s[8])/1584 - (310691*s[9])/144 - 
       (67979*s[10])/72 - (947493*s[11])/352 - (2932967*s[12])/1056 - 
       (761261*s[13])/528 - (310009*s[14])/528 - (139997*s[15])/36 - 
       (612523*s[16])/132 - (4278907*s[17])/1056 - (23555*s[18])/54 - 
       (60299*s[19])/108 - (6669887*s[20])/1188 - (4699021*s[21])/2376 + 
       (1582351*s[22])/1188 + (2324125*s[23])/1056 + (30062603*s[24])/9504 - 
       (284726545*s[25])/85536 + (161063179*s[26])/85536 + 2*s[30] - 
       (79*s[33])/6 + (50*s[34])/3 + (34*s[35])/3 + (67*s[36])/9 - 
       (559*s[37])/36 - (3*s[38])/2 - (1139*s[39])/12 + (5273*s[40])/36 - 
       (1361*s[41])/12 + (1273*s[42])/9 + (16309*s[43])/99 - 
       (313765*s[44])/1584 + (57157*s[45])/198 - (125683*s[46])/66 - 
       (61957*s[47])/1188 + (254381*s[48])/1188 - (3617543*s[49])/4752 + 
       (1196087*s[50])/792 + (453373*s[51])/4752 + (167665*s[52])/4752 - 
       (95423*s[53])/88 + (17279*s[54])/264 - (938095*s[55])/132 - 
       (9236527*s[56])/4752 - (565963*s[57])/1782 - (102649769*s[58])/42768 + 
       (102830903*s[59])/42768 + (476258003*s[60])/28512 - 
       (408967799*s[61])/384912 + s[71] + (13*s[74])/6 - (13*s[75])/6 + 
       s[78] + (100*s[79])/3 - (287*s[80])/9 + (575*s[82])/2 + 44*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - w]*
      ((349*s[2])/12 + (133*s[3])/3 + (1275*s[4])/4 + (42105*s[5])/176 + 
       (105183*s[6])/176 + (54419611*s[7])/9504 - (745769*s[8])/1782 - 
       (3067159*s[9])/648 - (296117*s[10])/162 - (59413825*s[11])/9504 - 
       (7877941*s[12])/1188 - (1384803*s[13])/352 - (7765051*s[14])/9504 - 
       (2325641*s[15])/288 - (3998009*s[16])/396 - (79171097*s[17])/9504 - 
       (3127891*s[18])/3888 - (5255801*s[19])/3888 - (493925207*s[20])/
        42768 - (349412977*s[21])/85536 + (253494827*s[22])/85536 + 
       (878131*s[23])/176 + (74915683*s[24])/10692 - (6093898081*s[25])/
        769824 + (3302781865*s[26])/769824 - 8*s[30] + (35*s[31])/6 - 
       (65*s[32])/12 - (19*s[33])/3 - (5*s[34])/3 + 10*s[35] - 
       (13*s[36])/18 - (91*s[37])/72 + (525*s[38])/4 - (4149*s[39])/8 + 
       (43537*s[40])/72 - (2903*s[41])/6 + (25045*s[42])/36 + 
       (526205*s[43])/792 - (991219*s[44])/1584 + (1129585*s[45])/1584 - 
       (8262101*s[46])/1584 - (171307*s[47])/4752 + (2401835*s[48])/4752 - 
       (14484821*s[49])/4752 + (1630231*s[50])/396 + (1854595*s[51])/4752 + 
       (1309357*s[52])/4752 - (13827007*s[53])/4752 - (321529*s[54])/792 - 
       (3260679*s[55])/176 - (760519*s[56])/176 + (2413123*s[57])/2376 - 
       (49547479*s[58])/7128 + (107186549*s[59])/14256 + 
       (647282635*s[60])/14256 - (191299049*s[61])/85536 - 5*s[68] + 
       10*s[69] - (3*s[71])/4 - 15*s[73] + (9*s[74])/4 - (9*s[75])/4 - 
       10*s[76] - 9*s[77] + 16*s[78] + (5*s[79])/3 - (175*s[80])/36 + 
       (2155*s[82])/6 + (142*s[85])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - u]*Omega2[u, v, w]*(-98*s[2] - 13*s[3] - (1707*s[4])/2 - 
       (7267*s[5])/11 - (31041*s[6])/22 - (5810767*s[7])/396 + 
       (64657*s[8])/66 + 12349*s[9] + (13601*s[10])/3 + (2117521*s[11])/132 + 
       (371543*s[12])/22 + (3996755*s[13])/396 + (244435*s[14])/132 + 
       (755869*s[15])/36 + (2557547*s[16])/99 + (8465569*s[17])/396 + 
       (54266*s[18])/27 + (183833*s[19])/54 + (17442395*s[20])/594 + 
       (12497513*s[21])/1188 - (3050207*s[22])/396 - (2618783*s[23])/198 - 
       (385973*s[24])/22 + (108409399*s[25])/5346 - (58741963*s[26])/5346 - 
       28*s[31] + 20*s[32] - 13*s[33] + 52*s[34] + (280*s[36])/3 - 
       (40*s[37])/3 - 494*s[38] + 1779*s[39] - (5809*s[40])/3 + 1610*s[41] - 
       (7136*s[42])/3 - (64571*s[43])/33 + (122497*s[44])/66 - 
       (65806*s[45])/33 + (169091*s[46])/11 - (8680*s[47])/99 - 
       (85669*s[48])/99 + (930526*s[49])/99 - (413030*s[50])/33 - 
       (135986*s[51])/99 - (192547*s[52])/198 + (291955*s[53])/33 + 
       (20561*s[54])/11 + (1835770*s[55])/33 + (1161530*s[56])/99 - 
       (1069379*s[57])/297 + (18196366*s[58])/891 - (20346331*s[59])/891 - 
       (39697034*s[60])/297 + (94913663*s[61])/16038 + 20*s[68] - 40*s[69] + 
       72*s[73] + 52*s[76] + 24*s[77] - 56*s[78] - 32*s[79] - (152*s[80])/3 - 
       432*s[82] + 48*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]*Omega2[v, w, u]*
      (-98*s[2] - 8*s[3] - (1605*s[4])/2 - (6942*s[5])/11 - (31045*s[6])/22 - 
       (5502677*s[7])/396 + (545429*s[8])/594 + (316148*s[9])/27 + 
       (114268*s[10])/27 + (6014105*s[11])/396 + (3168449*s[12])/198 + 
       (419293*s[13])/44 + (769667*s[14])/396 + (237505*s[15])/12 + 
       (806396*s[16])/33 + (8003803*s[17])/396 + (163618*s[18])/81 + 
       (492751*s[19])/162 + (49795807*s[20])/1782 + (35913329*s[21])/3564 - 
       (25986205*s[22])/3564 - (282967*s[23])/22 - (29154329*s[24])/1782 + 
       (306676621*s[25])/16038 - (167790655*s[26])/16038 - 4*s[30] - 
       28*s[31] + 20*s[32] - 13*s[33] + 52*s[34] - 6*s[35] + (233*s[36])/3 - 
       6*s[37] - 436*s[38] + (6791*s[39])/4 - (22505*s[40])/12 + 
       (6279*s[41])/4 - (27757*s[42])/12 - (243715*s[43])/132 + 
       (474737*s[44])/264 - (41561*s[45])/22 + (1947487*s[46])/132 - 
       (77053*s[47])/792 - (662803*s[48])/792 + (7031095*s[49])/792 - 
       (394432*s[50])/33 - (1068323*s[51])/792 - (738779*s[52])/792 + 
       (3353591*s[53])/396 + (51814*s[54])/33 + (14035369*s[55])/264 + 
       (9141349*s[56])/792 - (2397553*s[57])/594 + (140763599*s[58])/7128 - 
       (156171401*s[59])/7128 - (604862653*s[60])/4752 + 
       (372156281*s[61])/64152 + 22*s[68] - 42*s[69] + 72*s[73] + 52*s[76] + 
       26*s[77] - 58*s[78] - 60*s[79] - 22*s[80] - 432*s[82] + 48*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - w]*Omega2[w, u, v]*(-84*s[2] - (53*s[3])/2 - 
       (3709*s[4])/4 - (14827*s[5])/22 - (69011*s[6])/44 - 
       (12125747*s[7])/792 + (143789*s[8])/132 + 12800*s[9] + 
       (27985*s[10])/6 + (4421315*s[11])/264 + (779283*s[12])/44 + 
       (8389261*s[13])/792 + (515549*s[14])/264 + (1562189*s[15])/72 + 
       (10648667*s[16])/396 + (17551199*s[17])/792 + (117463*s[18])/54 + 
       (371701*s[19])/108 + (36204859*s[20])/1188 + (26008627*s[21])/2376 - 
       (6330925*s[22])/792 - (2831513*s[23])/198 - (1197829*s[24])/66 + 
       (113345335*s[25])/5346 - (30781103*s[26])/2673 - 18*s[31] + 20*s[32] + 
       8*s[33] + 34*s[34] + 6*s[35] + (229*s[36])/3 - (34*s[37])/3 - 
       504*s[38] + (7691*s[39])/4 - (25429*s[40])/12 + (6987*s[41])/4 - 
       (31409*s[42])/12 - (271991*s[43])/132 + (528445*s[44])/264 - 
       (135233*s[45])/66 + (712773*s[46])/44 - (127313*s[47])/792 - 
       (691151*s[48])/792 + (7785203*s[49])/792 - (431054*s[50])/33 - 
       (1223119*s[51])/792 - (878959*s[52])/792 + (1215245*s[53])/132 + 
       (17630*s[54])/11 + (15241213*s[55])/264 + (9994681*s[56])/792 - 
       (3447061*s[57])/594 + (157533683*s[58])/7128 - 
       (173759405*s[59])/7128 - (661985417*s[60])/4752 + 
       (406811945*s[61])/64152 + 22*s[68] - 42*s[69] + 72*s[73] + 44*s[76] + 
       30*s[77] - 54*s[78] - 60*s[79] - (38*s[80])/3 - 432*s[82] + 48*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*
      ((143*s[2])/8 + (89*s[3])/4 + (2763*s[4])/16 + (17323*s[5])/66 + 
       (340085*s[6])/528 + (14112949*s[7])/3168 - (414445*s[8])/1584 - 
       (543071*s[9])/144 - (23909*s[10])/18 - (1267099*s[11])/264 - 
       (880947*s[12])/176 - (2367197*s[13])/792 - (654571*s[14])/528 - 
       (1762241*s[15])/288 - (24344867*s[16])/3168 - (10349501*s[17])/1584 - 
       (397751*s[18])/432 - (260737*s[19])/432 - (44213809*s[20])/4752 - 
       (2878231*s[21])/792 + (10918309*s[22])/4752 + (12983695*s[23])/3168 + 
       (46913585*s[24])/9504 - (165521765*s[25])/28512 + 
       (100702361*s[26])/28512 - (7*s[30])/4 + (21*s[31])/4 - (15*s[32])/8 - 
       (23*s[33])/16 - 2*s[34] + 9*s[35] + 6*s[36] - (701*s[37])/48 + 
       (805*s[38])/8 - (10367*s[39])/24 + (12415*s[40])/24 - 
       (19627*s[41])/48 + (28909*s[42])/48 + (46551*s[43])/88 - 
       (498217*s[44])/1056 + (789631*s[45])/1056 - (5269685*s[46])/1056 + 
       (90881*s[47])/3168 + (1082201*s[48])/3168 - (6985811*s[49])/3168 + 
       (331659*s[50])/88 + (1244459*s[51])/3168 + (1056697*s[52])/3168 - 
       (8755361*s[53])/3168 + (121553*s[54])/528 - (56662303*s[55])/3168 - 
       (15556127*s[56])/3168 + (3742697*s[57])/2376 - (25122365*s[58])/3564 + 
       (206486803*s[59])/28512 + (392685499*s[60])/9504 - 
       (1284757751*s[61])/513216 - 3*s[68] + (11*s[69])/2 - (15*s[71])/8 - 
       (27*s[73])/2 + (23*s[74])/8 - (23*s[75])/8 - 9*s[76] - 6*s[77] + 
       (25*s[78])/2 + (71*s[79])/2 - (231*s[80])/8 + 186*s[82] + 49*s[85])*
      \[Zeta][2] + Ot[u, v, w]*(90*s[2] + 47*s[3] + 825*s[4] + 
       (35941*s[5])/44 + (92417*s[6])/44 + (1073443*s[7])/66 - 
       (1242713*s[8])/1188 - (1478125*s[9])/108 - (511181*s[10])/108 - 
       (7027777*s[11])/396 - (7447733*s[12])/396 - (1118719*s[13])/99 - 
       (639137*s[14])/198 - (801749*s[15])/36 - (5550989*s[16])/198 - 
       (4575227*s[17])/198 - (973457*s[18])/324 - (214663*s[19])/81 - 
       (58715861*s[20])/1782 - (44501425*s[21])/3564 + (7518311*s[22])/891 + 
       (3178543*s[23])/198 + (32454175*s[24])/1782 - (1409059457*s[25])/
        64152 + (814504841*s[26])/64152 - 2*s[30] + 28*s[31] - 14*s[32] - 
       (5*s[33])/2 - 32*s[34] + 24*s[35] - 28*s[36] - (17*s[37])/3 + 
       502*s[38] - 1869*s[39] + 2129*s[40] - 1698*s[41] + 2532*s[42] + 
       (23535*s[43])/11 - (21266*s[44])/11 + (166607*s[45])/66 - 
       (1186583*s[46])/66 + (5627*s[47])/33 + (38396*s[48])/33 - 
       (306731*s[49])/33 + (150734*s[50])/11 + (52087*s[51])/33 + 
       (43921*s[52])/33 - (1946167*s[53])/198 - (3133*s[54])/33 - 
       (2075483*s[55])/33 - (1607974*s[56])/99 + (2396404*s[57])/297 - 
       (45714991*s[58])/1782 + (23948498*s[59])/891 + (59424965*s[60])/396 - 
       (261076601*s[61])/32076 - 16*s[68] + 32*s[69] - 6*s[71] - 72*s[73] + 
       6*s[74] - 6*s[75] - 56*s[76] - 24*s[77] + 64*s[78] + 104*s[79] - 
       (106*s[80])/3 + 316*s[82] + 56*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      ((41*s[2])/3 + (371*s[3])/4 + (7367*s[4])/8 + (3353*s[5])/4 + 
       (22093*s[6])/12 + (7095599*s[7])/432 - (422281*s[8])/324 - 
       (8963921*s[9])/648 - (1428641*s[10])/324 - (3874675*s[11])/216 - 
       (8392129*s[12])/432 - (1662485*s[13])/144 - (1059719*s[14])/432 - 
       (3196837*s[15])/144 - (2003741*s[16])/72 - (4730093*s[17])/216 - 
       (6217993*s[18])/1944 - (566908*s[19])/243 - (16079383*s[20])/486 - 
       (47788271*s[21])/3888 + (33308335*s[22])/3888 + (2743579*s[23])/144 + 
       (69844489*s[24])/3888 - (790749173*s[25])/34992 + 
       (446466359*s[26])/34992 + (10*s[30])/3 + 4*s[31] + s[32] - 2*s[33] - 
       (4*s[34])/3 - (46*s[35])/3 - (527*s[36])/18 + (433*s[37])/9 + 
       (1193*s[38])/2 - (52949*s[39])/24 + (176291*s[40])/72 - 
       (44855*s[41])/24 + (224557*s[42])/72 + (1601329*s[43])/792 - 
       (3183569*s[44])/1584 + (958207*s[45])/396 - (1589913*s[46])/88 + 
       (3384961*s[47])/4752 + (1398691*s[48])/4752 - (42533515*s[49])/4752 + 
       (5445719*s[50])/396 + (10005335*s[51])/4752 + (8529599*s[52])/4752 - 
       (7713029*s[53])/792 + (25691*s[54])/44 - (10924565*s[55])/176 - 
       (77363969*s[56])/4752 + (25461571*s[57])/1782 - 
       (1187186767*s[58])/42768 + (1212404101*s[59])/42768 + 
       (4224932617*s[60])/28512 - (3083513293*s[61])/384912 - s[68] - s[69] - 
       2*s[71] + 8*s[72] - (17*s[74])/3 + (17*s[75])/3 - 10*s[76] - 2*s[77] + 
       5*s[78] + (440*s[79])/3 - (244*s[80])/9 + 151*s[82] - 6*s[83] + 
       60*s[84] + 72*s[85])*\[Zeta][2] + Qep[u, v, w]*
      ((-4576*s[2])/3 - (1280*s[3])/3 - 13296*s[4] - (373520*s[5])/33 - 
       (878752*s[6])/33 - (71230592*s[7])/297 + (13682096*s[8])/891 + 
       (16355632*s[9])/81 + (5843264*s[10])/81 + (77966920*s[11])/297 + 
       (82267808*s[12])/297 + (49472312*s[13])/297 + (11161048*s[14])/297 + 
       (9105184*s[15])/27 + (124463336*s[16])/297 + (11428024*s[17])/33 + 
       (9008864*s[18])/243 + (11989024*s[19])/243 + (1289013760*s[20])/2673 + 
       (472514296*s[21])/2673 - (335257112*s[22])/2673 - 
       (66066472*s[23])/297 - (749144408*s[24])/2673 + 
       (7917075712*s[25])/24057 - (4400174656*s[26])/24057 + (64*s[30])/3 - 
       448*s[31] + 288*s[32] - 208*s[33] + 768*s[34] - 128*s[35] + 
       (10304*s[36])/9 - 112*s[37] - (23840*s[38])/3 + 28944*s[39] - 
       (288080*s[40])/9 + (78688*s[41])/3 - (349888*s[42])/9 - 
       (3195952*s[43])/99 + (2980720*s[44])/99 - (382072*s[45])/11 + 
       (25725400*s[46])/99 - (547856*s[47])/297 - (4584416*s[48])/297 + 
       (44499920*s[49])/297 - (20452192*s[50])/99 - (6851728*s[51])/297 - 
       (5188960*s[52])/297 + (43597016*s[53])/297 + (2023984*s[54])/99 + 
       (91952368*s[55])/99 + (62896544*s[56])/297 - (72562592*s[57])/891 + 
       (948003640*s[58])/2673 - (1034258560*s[59])/2673 - 
       (1983404668*s[60])/891 + (2562925012*s[61])/24057 + (896*s[68])/3 - 
       (1792*s[69])/3 + 32*s[71] + 1152*s[73] - 32*s[74] + 32*s[75] + 
       (2560*s[76])/3 + 384*s[77] - (2816*s[78])/3 - 896*s[79] - 352*s[80] - 
       (21376*s[82])/3 + (256*s[85])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*((877*s[2])/24 + (2311*s[3])/48 + 
       (16433*s[4])/96 + (98717*s[5])/264 + (1079723*s[6])/1056 + 
       (37067753*s[7])/6336 - (276601*s[8])/1056 - (118741*s[9])/24 - 
       (14257*s[10])/8 - (13428685*s[11])/2112 - (3470437*s[12])/528 - 
       (25165105*s[13])/6336 - (1456667*s[14])/704 - (4570835*s[15])/576 - 
       (16106413*s[16])/1584 - (55924109*s[17])/6336 - (568711*s[18])/432 - 
       (589597*s[19])/864 - (118325959*s[20])/9504 - (96853831*s[21])/19008 + 
       (18995941*s[22])/6336 + (7927925*s[23])/1584 + (10276307*s[24])/1584 - 
       (159528959*s[25])/21384 + (205494901*s[26])/42768 + (25*s[30])/12 + 
       (67*s[31])/6 - (47*s[32])/12 + (11*s[33])/24 - (59*s[34])/12 + 
       (229*s[35])/12 + 24*s[36] - 22*s[37] + (245*s[38])/2 - 
       (8059*s[39])/16 + (10123*s[40])/16 - (7735*s[41])/16 + 
       (10657*s[42])/16 + (133085*s[43])/176 - (328861*s[44])/528 + 
       (272083*s[45])/264 - (3522335*s[46])/528 - (18911*s[47])/264 + 
       (129069*s[48])/176 - (787385*s[49])/264 + (642053*s[50])/132 + 
       (68411*s[51])/176 + (97391*s[52])/264 - (474869*s[53])/132 + 
       (103117*s[54])/264 - (37270733*s[55])/1584 - (1804811*s[56])/264 + 
       (2813359*s[57])/1584 - (22242031*s[58])/2376 + (45429881*s[59])/4752 + 
       (4866821*s[60])/88 - (300613849*s[61])/85536 - 5*s[68] + 
       (32*s[69])/3 + s[70]/2 - (15*s[71])/4 - s[72]/6 - (59*s[73])/2 + 
       (187*s[74])/24 - (187*s[75])/24 - (27*s[76])/2 - (163*s[77])/12 + 
       (79*s[78])/3 + 39*s[79] - (123*s[80])/2 + 278*s[82] - s[83]/4 - 
       (47*s[84])/2 + 92*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - w]*((179*s[2])/12 + (100*s[3])/3 + (1547*s[4])/4 + 
       (237973*s[5])/528 + (1354405*s[6])/1056 + (20670083*s[7])/2376 - 
       (17503745*s[8])/28512 - (18939391*s[9])/2592 - (3137149*s[10])/1296 - 
       (179950751*s[11])/19008 - (193795177*s[12])/19008 - 
       (58161857*s[13])/9504 - (5050165*s[14])/2376 - (2459581*s[15])/216 - 
       (34956701*s[16])/2376 - (75196123*s[17])/6336 - 
       (14619353*s[18])/7776 - (7616233*s[19])/7776 - 
       (1526667169*s[20])/85536 - (588975667*s[21])/85536 + 
       (383236649*s[22])/85536 + (177373307*s[23])/19008 + 
       (1612710967*s[24])/171072 - (17921342861*s[25])/1539648 + 
       (10702265939*s[26])/1539648 - (47*s[30])/3 + (7*s[31])/2 + 
       (3*s[32])/4 - (71*s[33])/4 + 17*s[34] + 22*s[35] + (883*s[36])/18 - 
       (1243*s[37])/24 + (1097*s[38])/6 - (7129*s[39])/8 + (82229*s[40])/72 - 
       (10733*s[41])/12 + (11612*s[42])/9 + (875827*s[43])/792 - 
       (1701179*s[44])/1584 + (788869*s[45])/528 - (16263887*s[46])/1584 + 
       (391133*s[47])/9504 + (8365517*s[48])/9504 - (42465221*s[49])/9504 + 
       (12121247*s[50])/1584 + (8548531*s[51])/9504 + (3497867*s[52])/4752 - 
       (26172655*s[53])/4752 + (692045*s[54])/792 - (113894419*s[55])/3168 - 
       (100151027*s[56])/9504 + (17356003*s[57])/3564 - 
       (1287353887*s[58])/85536 + (1288657411*s[59])/85536 + 
       (4840673753*s[60])/57024 - (4115198653*s[61])/769824 - (34*s[68])/3 + 
       (23*s[69])/3 - (21*s[71])/4 - 9*s[73] + (27*s[74])/4 - (27*s[75])/4 + 
       (25*s[76])/3 - 18*s[77] + (34*s[78])/3 + 147*s[79] - (1399*s[80])/12 + 
       (719*s[82])/3 + (382*s[85])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      ((291*s[2])/4 + (149*s[3])/2 + (5263*s[4])/8 + (67613*s[5])/88 + 
       (180449*s[6])/88 + (45946159*s[7])/3168 - (12056413*s[8])/14256 - 
       (15754925*s[9])/1296 - (5549695*s[10])/1296 - (150620197*s[11])/9504 - 
       (79566181*s[12])/4752 - (95970799*s[13])/9504 - 
       (33926929*s[14])/9504 - (17102027*s[15])/864 - (59681587*s[16])/2376 - 
       (198678871*s[17])/9504 - (5449337*s[18])/1944 - (8672891*s[19])/3888 - 
       (1280278235*s[20])/42768 - (978724405*s[21])/85536 + 
       (641526113*s[22])/85536 + (63503677*s[23])/4752 + 
       (44107966*s[24])/2673 - (933425947*s[25])/48114 + 
       (1101199223*s[26])/96228 - (61*s[30])/6 + (119*s[31])/6 - 
       (125*s[32])/12 + (247*s[33])/24 - (61*s[34])/3 + (155*s[35])/6 - 
       (59*s[36])/6 - (183*s[37])/8 + (4487*s[38])/12 - (36025*s[39])/24 + 
       (42485*s[40])/24 - (8357*s[41])/6 + (24401*s[42])/12 + 
       (488501*s[43])/264 - (302277*s[44])/176 + (1248967*s[45])/528 - 
       (8669231*s[46])/528 + (3551*s[47])/176 + (714719*s[48])/528 - 
       (4249601*s[49])/528 + (1653973*s[50])/132 + (1967597*s[51])/1584 + 
       (544139*s[52])/528 - (14297881*s[53])/1584 + (19917*s[54])/88 - 
       (92459083*s[55])/1584 - (24550763*s[56])/1584 + 
       (10608637*s[57])/2376 - (162332909*s[58])/7128 + 
       (336684841*s[59])/14256 + (24333175*s[60])/176 - 
       (2012060339*s[61])/256608 - (38*s[68])/3 + (73*s[69])/3 - 
       (9*s[71])/4 - 51*s[73] + (83*s[74])/12 - (83*s[75])/12 - 
       (106*s[76])/3 - 20*s[77] + (134*s[78])/3 + 105*s[79] - (283*s[80])/4 + 
       (1539*s[82])/2 + 12*s[84] + 130*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v]*((269*s[2])/12 + (307*s[3])/4 + 
       (759*s[4])/4 + (89653*s[5])/264 + (159043*s[6])/132 + 
       (54657527*s[7])/9504 - (1438057*s[8])/4752 - (2075591*s[9])/432 - 
       (662737*s[10])/432 - (6668467*s[11])/1056 - (10705429*s[12])/1584 - 
       (39563389*s[13])/9504 - (2302651*s[14])/1056 - (6196337*s[15])/864 - 
       (5741413*s[16])/594 - (75651569*s[17])/9504 - (113467*s[18])/72 - 
       (97189*s[19])/432 - (2133611*s[20])/176 - (144182369*s[21])/28512 + 
       (82861133*s[22])/28512 + (28588069*s[23])/4752 + (5206816*s[24])/891 - 
       (59713603*s[25])/8019 + (39320107*s[26])/8019 - (17*s[30])/6 + 
       (35*s[31])/6 - (5*s[32])/12 - (209*s[33])/24 + (40*s[34])/3 + 
       30*s[35] + (967*s[36])/18 - (1231*s[37])/72 + (1655*s[38])/12 - 
       (4749*s[39])/8 + (55097*s[40])/72 - (3343*s[41])/6 + 
       (29645*s[42])/36 + (646885*s[43])/792 - (1093199*s[44])/1584 + 
       (1829485*s[45])/1584 - (3900947*s[46])/528 + (156733*s[47])/4752 + 
       (3582595*s[48])/4752 - (14071501*s[49])/4752 + (2021951*s[50])/396 + 
       (2665595*s[51])/4752 + (2728937*s[52])/4752 - (5905249*s[53])/1584 + 
       (283157*s[54])/264 - (38934631*s[55])/1584 - (38391773*s[56])/4752 + 
       (33779869*s[57])/7128 - (241865027*s[58])/21384 + 
       (465646327*s[59])/42768 + (842150225*s[60])/14256 - 
       (3146676941*s[61])/769824 - (5*s[68])/3 + (10*s[69])/3 - 
       (23*s[71])/4 - 15*s[73] + (29*s[74])/4 - (29*s[75])/4 - (40*s[76])/3 - 
       9*s[77] + (68*s[78])/3 + (185*s[79])/3 - (2755*s[80])/36 + 
       (525*s[82])/2 + 134*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*((469*s[2])/6 + (487*s[3])/6 + 
       (5693*s[4])/8 + (178265*s[5])/176 + (667103*s[6])/352 + 
       (174981185*s[7])/9504 - (28734031*s[8])/28512 - (40498457*s[9])/2592 - 
       (1023343*s[10])/162 - (375038725*s[11])/19008 - 
       (383863877*s[12])/19008 - (6136417*s[13])/528 - 
       (42795323*s[14])/9504 - (7786169*s[15])/288 - (52270051*s[16])/1584 - 
       (545584475*s[17])/19008 - (22777585*s[18])/7776 - 
       (31592327*s[19])/7776 - (3358781903*s[20])/85536 - 
       (625891411*s[21])/42768 + (205397833*s[22])/21384 + 
       (27233507*s[23])/2112 + (3831753131*s[24])/171072 - 
       (36905108725*s[25])/1539648 + (21539047987*s[26])/1539648 - 2*s[29] - 
       s[30]/2 + (47*s[31])/3 - (34*s[32])/3 + (251*s[33])/24 - 
       (67*s[34])/3 + (29*s[35])/2 - (1253*s[36])/18 - (2353*s[37])/36 + 
       (5851*s[38])/12 - (38329*s[39])/24 + (128687*s[40])/72 - 
       (36187*s[41])/24 + (144049*s[42])/72 + (1722361*s[43])/792 - 
       (1547839*s[44])/792 + (2350129*s[45])/792 - (1930228*s[46])/99 - 
       (3197413*s[47])/9504 + (16870811*s[48])/9504 - (99087431*s[49])/9504 + 
       (25264559*s[50])/1584 + (10730317*s[51])/9504 + (1811347*s[52])/2376 - 
       (13550621*s[53])/1188 - (910237*s[54])/396 - (78304883*s[55])/1056 - 
       (51729695*s[56])/3168 - (2830973*s[57])/594 - (25256971*s[58])/1056 + 
       (252352301*s[59])/9504 + (9892036985*s[60])/57024 - 
       (557083735*s[61])/64152 + 2*s[67] - 17*s[68] + 34*s[69] + 14*s[70] - 
       3*s[71] - 62*s[73] + 5*s[74] - 5*s[75] - 45*s[76] - 35*s[77] + 
       51*s[78] - (140*s[79])/3 + (1199*s[80])/18 + (3823*s[82])/3 - 
       24*s[84] + (416*s[85])/3)*\[Zeta][2] + HPL[{1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - u]*(270*s[2] + 141*s[3] + 2475*s[4] + 
       (107823*s[5])/44 + (277251*s[6])/44 + (1073443*s[7])/22 - 
       (1242713*s[8])/396 - (1478125*s[9])/36 - (511181*s[10])/36 - 
       (7027777*s[11])/132 - (7447733*s[12])/132 - (1118719*s[13])/33 - 
       (639137*s[14])/66 - (801749*s[15])/12 - (5550989*s[16])/66 - 
       (4575227*s[17])/66 - (973457*s[18])/108 - (214663*s[19])/27 - 
       (58715861*s[20])/594 - (44501425*s[21])/1188 + (7518311*s[22])/297 + 
       (3178543*s[23])/66 + (32454175*s[24])/594 - (1409059457*s[25])/21384 + 
       (814504841*s[26])/21384 - 6*s[30] + 84*s[31] - 42*s[32] - 
       (15*s[33])/2 - 96*s[34] + 72*s[35] - 84*s[36] - 17*s[37] + 
       1506*s[38] - 5607*s[39] + 6387*s[40] - 5094*s[41] + 7596*s[42] + 
       (70605*s[43])/11 - (63798*s[44])/11 + (166607*s[45])/22 - 
       (1186583*s[46])/22 + (5627*s[47])/11 + (38396*s[48])/11 - 
       (306731*s[49])/11 + (452202*s[50])/11 + (52087*s[51])/11 + 
       (43921*s[52])/11 - (1946167*s[53])/66 - (3133*s[54])/11 - 
       (2075483*s[55])/11 - (1607974*s[56])/33 + (2396404*s[57])/99 - 
       (45714991*s[58])/594 + (23948498*s[59])/297 + (59424965*s[60])/132 - 
       (261076601*s[61])/10692 - 48*s[68] + 96*s[69] - 18*s[71] - 216*s[73] + 
       18*s[74] - 18*s[75] - 168*s[76] - 72*s[77] + 192*s[78] + 312*s[79] - 
       106*s[80] + 948*s[82] + 168*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((-53*s[2])/3 + (111*s[3])/2 + (1507*s[4])/4 + (15201*s[5])/44 + 
       (22201*s[6])/33 + (797288*s[7])/99 - (857497*s[8])/1188 - 
       (734807*s[9])/108 - (65803*s[10])/27 - (862385*s[11])/99 - 
       (3772363*s[12])/396 - (363215*s[13])/66 - (266155*s[14])/198 - 
       (43539*s[15])/4 - (609049*s[16])/44 - (2122283*s[17])/198 - 
       (453259*s[18])/324 - (225577*s[19])/162 - (15002561*s[20])/891 - 
       (5212847*s[21])/891 + (15143779*s[22])/3564 + (1002607*s[23])/132 + 
       (16515899*s[24])/1782 - (705940303*s[25])/64152 + 
       (382637047*s[26])/64152 + 6*s[30] - 5*s[31] + 11*s[32] - 
       (5*s[33])/12 + (68*s[34])/3 - (80*s[35])/3 + (106*s[36])/9 - 
       (16*s[37])/9 + (377*s[38])/2 - (9893*s[39])/12 + (34331*s[40])/36 - 
       (4447*s[41])/6 + (10636*s[42])/9 + (299053*s[43])/396 - 
       (366727*s[44])/396 + (118301*s[45])/99 - (375919*s[46])/44 + 
       (574555*s[47])/2376 + (979333*s[48])/2376 - (9135223*s[49])/2376 + 
       (1362467*s[50])/198 + (2007413*s[51])/2376 + (359081*s[52])/594 - 
       (101061*s[53])/22 - (8275*s[54])/132 - (8042113*s[55])/264 - 
       (18955397*s[56])/2376 + (10865953*s[57])/3564 - 
       (262802719*s[58])/21384 + (257656447*s[59])/21384 + 
       (1053377497*s[60])/14256 - (97210499*s[61])/24057 + 9*s[68] - 
       17*s[69] + 16*s[70] + (9*s[71])/2 + 8*s[72] + 36*s[73] - 
       (35*s[74])/6 + (35*s[75])/6 + 18*s[76] - 7*s[77] - 22*s[78] + 
       (280*s[79])/3 - (305*s[80])/9 + 892*s[82] - 6*s[83] + 24*s[84] + 
       168*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      (96*s[2] + 426*s[3] + (9375*s[4])/2 + (67019*s[5])/22 + 
       (88041*s[6])/11 + (9382165*s[7])/132 - (617146*s[8])/99 - 
       (1070953*s[9])/18 - (322067*s[10])/18 - (10325243*s[11])/132 - 
       (2838679*s[12])/33 - (6850489*s[13])/132 - (956375*s[14])/132 - 
       (377647*s[15])/4 - (3948841*s[16])/33 - (4024025*s[17])/44 - 
       (695687*s[18])/54 - (573859*s[19])/54 - (82690681*s[20])/594 - 
       (59393975*s[21])/1188 + (44054701*s[22])/1188 + (5738737*s[23])/66 + 
       (45875243*s[24])/594 - (1075875569*s[25])/10692 + 
       (583895141*s[26])/10692 + 12*s[30] + 24*s[31] - 30*s[32] + 15*s[33] - 
       36*s[34] - 119*s[36] + (529*s[37])/2 + 2435*s[38] - (41345*s[39])/4 + 
       (46141*s[40])/4 - (35815*s[41])/4 + (60407*s[42])/4 + 
       (389343*s[43])/44 - (819597*s[44])/88 + (411183*s[45])/44 - 
       (1678273*s[46])/22 + (342887*s[47])/88 + (18145*s[48])/88 - 
       (3490197*s[49])/88 + (638846*s[50])/11 + (2700583*s[51])/264 + 
       (730541*s[52])/88 - (1344788*s[53])/33 + (69955*s[54])/22 - 
       (22467921*s[55])/88 - (17765225*s[56])/264 + (7677289*s[57])/99 - 
       (287461357*s[58])/2376 + (292946029*s[59])/2376 + 
       (325361105*s[60])/528 - (174321775*s[61])/5346 - 18*s[68] + 30*s[69] - 
       36*s[70] + 3*s[71] + 48*s[72] - 36*s[74] + 36*s[75] - 24*s[76] - 
       18*s[77] + 42*s[78] + 780*s[79] - 245*s[80] + 66*s[82] - 36*s[83] + 
       216*s[84] + 168*s[85])*\[Zeta][2] + HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - v]*((1657*s[2])/12 - (895*s[3])/12 + (3027*s[4])/2 + 
       (521311*s[5])/264 + (204755*s[6])/66 + (164073347*s[7])/4752 - 
       (16228171*s[8])/7128 - (2406487*s[9])/81 - (1736137*s[10])/162 - 
       (176596729*s[11])/4752 - (184000445*s[12])/4752 - 
       (13474921*s[13])/594 - (3614165*s[14])/594 - (21300829*s[15])/432 - 
       (285541241*s[16])/4752 - (79671769*s[17])/1584 - 
       (11070037*s[18])/1944 - (3189767*s[19])/486 - (190856161*s[20])/2673 - 
       (284575075*s[21])/10692 + (195847235*s[22])/10692 + 
       (9190741*s[23])/297 + (853394143*s[24])/21384 - 
       (17658709873*s[25])/384912 + (10037083651*s[26])/384912 + 12*s[29] - 
       (71*s[30])/6 + (87*s[31])/2 - (73*s[32])/4 + (241*s[33])/8 - 
       91*s[34] - 67*s[35] - (3319*s[36])/18 + (3725*s[37])/24 + 
       (5143*s[38])/4 - (109483*s[39])/24 + (361957*s[40])/72 - 
       (48091*s[41])/12 + (55645*s[42])/9 + (3752123*s[43])/792 - 
       (895781*s[44])/198 + (1041135*s[45])/176 - (66515707*s[46])/1584 + 
       (1836451*s[47])/2376 + (885745*s[48])/594 - (52239289*s[49])/2376 + 
       (6671627*s[50])/198 + (9456869*s[51])/2376 + (7110143*s[52])/2376 - 
       (113225675*s[53])/4752 - (2383211*s[54])/792 - (120417893*s[55])/792 - 
       (42159071*s[56])/1188 + (27534571*s[57])/1782 - 
       (2523197239*s[58])/42768 + (672347893*s[59])/10692 + 
       (10266094631*s[60])/28512 - (13621834013*s[61])/769824 + 2*s[65] + 
       8*s[66] - 12*s[67] - (83*s[68])/3 + (52*s[69])/3 + 16*s[70] + 
       (11*s[71])/4 - 6*s[72] - 45*s[73] + (7*s[74])/4 - (7*s[75])/4 - 
       (190*s[76])/3 - 30*s[77] + (128*s[78])/3 + 263*s[79] + 
       (673*s[80])/12 + (4663*s[82])/3 - 15*s[83] + 114*s[84] + 
       (614*s[85])/3)*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*
      (276*s[2] + (441*s[3])/2 + (10485*s[4])/4 + (106475*s[5])/44 + 
       (72308*s[6])/11 + (13338065*s[7])/264 - (71771*s[8])/22 - 
       (169619*s[9])/4 - (58681*s[10])/4 - (4877051*s[11])/88 - 
       (650263*s[12])/11 - (9399895*s[13])/264 - (851839*s[14])/88 - 
       (1644833*s[15])/24 - (11492705*s[16])/132 - (18758393*s[17])/264 - 
       (328439*s[18])/36 - (306151*s[19])/36 - (40422373*s[20])/396 - 
       (30364459*s[21])/792 + (2307277*s[22])/88 + (1638025*s[23])/33 + 
       (1255809*s[24])/22 - (491002441*s[25])/7128 + (280853917*s[26])/7128 + 
       18*s[30] + 84*s[31] - 42*s[32] - (15*s[33])/2 - 90*s[34] + 102*s[35] - 
       71*s[36] - (93*s[37])/2 + 1523*s[38] - (23043*s[39])/4 + 
       (26775*s[40])/4 - (21565*s[41])/4 + (31309*s[42])/4 + 
       (299973*s[43])/44 - (549079*s[44])/88 + (348063*s[45])/44 - 
       (621583*s[46])/11 + (91427*s[47])/264 + (1102613*s[48])/264 - 
       (7835681*s[49])/264 + (474833*s[50])/11 + (1301929*s[51])/264 + 
       (1051213*s[52])/264 - (678453*s[53])/22 - (10987*s[54])/22 - 
       (52121809*s[55])/264 - (13431031*s[56])/264 + (2332181*s[57])/99 - 
       (189967355*s[58])/2376 + (199700927*s[59])/2376 + 
       (751564553*s[60])/1584 - (274326973*s[61])/10692 - 54*s[68] + 
       118*s[69] - 21*s[71] - 216*s[73] + 21*s[74] - 21*s[75] - 88*s[76] - 
       98*s[77] + 166*s[78] + 372*s[79] - 261*s[80] + 1164*s[82] + 216*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      (162*s[2] + 222*s[3] + 2686*s[4] + (29234*s[5])/11 + (75025*s[6])/11 + 
       (2274687*s[7])/44 - (670447*s[8])/198 - (780251*s[9])/18 - 
       (277267*s[10])/18 - (7434217*s[11])/132 - (1959842*s[12])/33 - 
       (4695487*s[13])/132 - (1455337*s[14])/132 - (856427*s[15])/12 - 
       (5922941*s[16])/66 - (9899623*s[17])/132 - (255260*s[18])/27 - 
       (481931*s[19])/54 - (62547521*s[20])/594 - (47648761*s[21])/1188 + 
       (31699895*s[22])/1188 + (1631084*s[23])/33 + (17450462*s[24])/297 - 
       (185666167*s[25])/2673 + (216702029*s[26])/5346 - 16*s[29] - 6*s[30] + 
       4*s[31] - 42*s[32] - 139*s[33] + 42*s[34] + 102*s[35] - 71*s[36] - 
       (93*s[37])/2 + 1523*s[38] - (23043*s[39])/4 + (26775*s[40])/4 - 
       (21565*s[41])/4 + (31309*s[42])/4 + (299973*s[43])/44 - 
       (549079*s[44])/88 + (348063*s[45])/44 - (621583*s[46])/11 + 
       (91427*s[47])/264 + (1102613*s[48])/264 - (7835681*s[49])/264 + 
       (474833*s[50])/11 + (1301929*s[51])/264 + (1051213*s[52])/264 - 
       (678453*s[53])/22 - (10987*s[54])/22 - (52121809*s[55])/264 - 
       (13431031*s[56])/264 + (2332181*s[57])/99 - (189967355*s[58])/2376 + 
       (199700927*s[59])/2376 + (751564553*s[60])/1584 - 
       (274326973*s[61])/10692 - 54*s[68] + 118*s[69] - 21*s[71] - 
       216*s[73] + 21*s[74] - 21*s[75] - 88*s[76] - 98*s[77] + 166*s[78] + 
       372*s[79] - 261*s[80] + 1164*s[82] + 216*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*(102*s[2] + (753*s[3])/2 + 
       (19855*s[4])/4 + (12563*s[5])/4 + 8262*s[6] + (1819843*s[7])/24 - 
       (59840*s[8])/9 - (2289875*s[9])/36 - (696901*s[10])/36 - 
       (2004671*s[11])/24 - (276326*s[12])/3 - (1321393*s[13])/24 - 
       (182351*s[14])/24 - (2409469*s[15])/24 - (1530689*s[16])/12 - 
       (774617*s[17])/8 - (1504999*s[18])/108 - (1215749*s[19])/108 - 
       (16116799*s[20])/108 - (11536799*s[21])/216 + (8569897*s[22])/216 + 
       (278365*s[23])/3 + (2218334*s[24])/27 - (208457171*s[25])/1944 + 
       (112995395*s[26])/1944 + 24*s[30] + 24*s[31] - 18*s[32] + 
       (23*s[33])/2 - 34*s[34] - 42*s[35] - 160*s[36] + (465*s[37])/2 + 
       2716*s[38] - 11285*s[39] + 12597*s[40] - (19601*s[41])/2 + 
       (32903*s[42])/2 + (105227*s[43])/11 - (111458*s[44])/11 + 
       (435825*s[45])/44 - (3600739*s[46])/44 + (285529*s[47])/66 + 
       (20341*s[48])/66 - (2855353*s[49])/66 + (689911*s[50])/11 + 
       (376534*s[51])/33 + (301066*s[52])/33 - (5716033*s[53])/132 + 
       (56231*s[54])/22 - (2979836*s[55])/11 - (779664*s[56])/11 + 
       (5679115*s[57])/66 - (51588641*s[58])/396 + (26129011*s[59])/198 + 
       (525980501*s[60])/792 - (82183787*s[61])/2376 - 12*s[68] + 24*s[69] - 
       3*s[71] + 48*s[72] - 39*s[74] + 39*s[75] - 36*s[76] - 52*s[77] + 
       60*s[78] + 924*s[79] - 259*s[80] + 282*s[82] - 36*s[83] + 216*s[84] + 
       216*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*((415*s[2])/24 + (6827*s[3])/48 - (8125*s[4])/32 + 
       (7945*s[5])/24 + (144173*s[6])/96 + (2885933*s[7])/1728 + 
       (125797*s[8])/864 - (134479*s[9])/108 - (26609*s[10])/108 - 
       (954505*s[11])/576 - (48115*s[12])/36 - (2123521*s[13])/1728 - 
       (1819825*s[14])/576 - (2327197*s[15])/1728 - (258763*s[16])/108 - 
       (5597873*s[17])/1728 - (2013817*s[18])/1296 + (3755705*s[19])/2592 - 
       (11106599*s[20])/2592 - (6034949*s[21])/1728 + (2861647*s[22])/5184 + 
       (706301*s[23])/432 + (530575*s[24])/1296 - (124301*s[25])/162 + 
       (3285193*s[26])/1296 - (257*s[30])/12 + (13*s[31])/3 + (16*s[32])/3 - 
       (47*s[33])/4 + (79*s[34])/4 + (593*s[35])/12 + (331*s[36])/3 - 
       (6319*s[37])/72 - (191*s[38])/4 + (7955*s[39])/48 - (33*s[40])/16 + 
       (937*s[41])/48 - (16735*s[42])/48 + (402179*s[43])/528 - 
       (2897*s[44])/44 + (2842111*s[45])/1584 - (3168037*s[46])/396 - 
       (820867*s[47])/1584 + (628025*s[48])/396 - (1652147*s[49])/1584 + 
       (218905*s[50])/44 - (11696*s[51])/33 + (256873*s[52])/1584 - 
       (20786999*s[53])/4752 + (492463*s[54])/198 - (24655721*s[55])/792 - 
       (55104877*s[56])/4752 - (68358713*s[57])/14256 - 
       (112725443*s[58])/10692 + (54399349*s[59])/5346 + 
       (75377495*s[60])/1188 - (2332395965*s[61])/384912 + 2*s[65] - 
       4*s[67] - (28*s[68])/3 + (20*s[69])/3 - (7*s[70])/2 - 16*s[71] - 
       (41*s[72])/6 + (77*s[73])/6 + (797*s[74])/24 - (797*s[75])/24 + 
       (97*s[76])/6 - (223*s[77])/12 + 14*s[78] - (272*s[79])/3 - 
       (2833*s[80])/36 - 549*s[82] - (123*s[83])/4 - (337*s[84])/2 + 
       254*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w]*
      ((1133*s[2])/12 + (419*s[3])/6 + (9691*s[4])/4 + (1108873*s[5])/528 + 
       (834909*s[6])/176 + (208417975*s[7])/4752 - (46290685*s[8])/14256 - 
       (48234107*s[9])/1296 - (16077859*s[10])/1296 - (56945015*s[11])/1188 - 
       (15280246*s[12])/297 - (36513205*s[13])/1188 - (15716323*s[14])/2376 - 
       (12961849*s[15])/216 - (357429493*s[16])/4752 - 
       (95238827*s[17])/1584 - (29200657*s[18])/3888 - (3667987*s[19])/486 - 
       (1891973473*s[20])/21384 - (1376855831*s[21])/42768 + 
       (61711645*s[22])/2673 + (53484467*s[23])/1188 + 
       (1060547273*s[24])/21384 - (46505159929*s[25])/769824 + 
       (25752477205*s[26])/769824 - (29*s[30])/3 + (43*s[31])/2 - 
       (21*s[32])/4 + (53*s[33])/2 - 46*s[34] - 47*s[35] - (2339*s[36])/18 + 
       (1115*s[37])/8 + (15509*s[38])/12 - (111283*s[39])/24 + 
       (373517*s[40])/72 - (48971*s[41])/12 + (56795*s[42])/9 + 
       (352073*s[43])/72 - (165187*s[44])/36 + (305155*s[45])/48 - 
       (6359677*s[46])/144 + (181861*s[47])/216 + (46970*s[48])/27 - 
       (4730239*s[49])/216 + (624317*s[50])/18 + (896579*s[51])/216 + 
       (710903*s[52])/216 - (10646765*s[53])/432 - (110201*s[54])/72 - 
       (11382923*s[55])/72 - (4238501*s[56])/108 + (1553168*s[57])/81 - 
       (246331129*s[58])/3888 + (64397233*s[59])/972 + 
       (968711801*s[60])/2592 - (1367892683*s[61])/69984 + 2*s[65] + 
       8*s[66] - 12*s[67] - (73*s[68])/3 + (32*s[69])/3 + 16*s[70] - 
       (9*s[71])/4 - 6*s[72] - 45*s[73] + (27*s[74])/4 - (27*s[75])/4 - 
       (200*s[76])/3 - 30*s[77] + (148*s[78])/3 + 323*s[79] - 
       (187*s[80])/12 + (4373*s[82])/3 - 15*s[83] + 114*s[84] + 
       (874*s[85])/3)*\[Zeta][2] + HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((1078*s[2])/3 + (1201*s[3])/4 + (118193*s[4])/24 + (52806*s[5])/11 + 
       (3394805*s[6])/264 + (457057097*s[7])/4752 - (46928813*s[8])/7128 - 
       (26292707*s[9])/324 - (2147002*s[10])/81 - (501477635*s[11])/4752 - 
       (270050285*s[12])/2376 - (36240823*s[13])/528 - 
       (89791145*s[14])/4752 - (2041729*s[15])/16 - (129163669*s[16])/792 - 
       (619898617*s[17])/4752 - (18517459*s[18])/972 - 
       (25696159*s[19])/1944 - (4151619343*s[20])/21384 - 
       (3162704771*s[21])/42768 + (2140096075*s[22])/42768 + 
       (6780949*s[23])/66 + (279316861*s[24])/2673 - (25193742199*s[25])/
        192456 + (14602379929*s[26])/192456 + (23*s[30])/3 + (373*s[31])/3 - 
       (251*s[32])/6 - 65*s[33] - (290*s[34])/3 + 163*s[35] - (38*s[36])/3 + 
       (5269*s[37])/36 + (16639*s[38])/6 - (39417*s[39])/4 + 
       (137491*s[40])/12 - 8655*s[41] + (40172*s[42])/3 + 
       (1452529*s[43])/132 - (654437*s[44])/66 + (10684577*s[45])/792 - 
       (74022953*s[46])/792 + (617255*s[47])/396 + (1128463*s[48])/198 - 
       (17938847*s[49])/396 + (2263597*s[50])/33 + (3469085*s[51])/396 + 
       (3170911*s[52])/396 - (116072743*s[53])/2376 + (1714607*s[54])/396 - 
       (125467931*s[55])/396 - (26702893*s[56])/297 + (58453510*s[57])/891 - 
       (3042202807*s[58])/21384 + (770601229*s[59])/5346 + 
       (3638556131*s[60])/4752 - (16946705489*s[61])/384912 - s[65] + 
       6*s[66] - 4*s[67] - (130*s[68])/3 + (314*s[69])/3 + 16*s[70] - 
       (67*s[71])/2 - 18*s[72] - (1132*s[73])/3 + 44*s[74] - 44*s[75] - 
       (686*s[76])/3 - (377*s[77])/3 + 234*s[78] + 1004*s[79] - 
       (9539*s[80])/18 + (3890*s[82])/3 + (83*s[83])/2 + 87*s[84] + 
       (1276*s[85])/3)*\[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      (205*s[2] - (259*s[3])/2 - (4233*s[4])/4 + (13426*s[5])/11 + 
       (163749*s[6])/44 + (593877*s[7])/88 + (1077247*s[8])/1188 - 
       (166510*s[9])/27 - (68984*s[10])/27 - (5213195*s[11])/792 - 
       (505961*s[12])/99 - (2724281*s[13])/792 - (8768075*s[14])/792 - 
       (522391*s[15])/72 - (1073689*s[16])/99 - (10864265*s[17])/792 - 
       (717523*s[18])/162 + (969713*s[19])/324 - (66496117*s[20])/3564 - 
       (83879093*s[21])/7128 + (22153189*s[22])/7128 - (100895*s[23])/198 + 
       (8242171*s[24])/1782 - (28518682*s[25])/8019 + 
       (124586225*s[26])/16038 + 36*s[29] - 46*s[30] + 84*s[31] - 8*s[32] - 
       128*s[33] + 18*s[34] + 162*s[35] + 300*s[36] - (601*s[37])/3 - 
       244*s[38] + (2207*s[39])/2 - (1391*s[40])/2 + (1431*s[41])/2 - 
       (3621*s[42])/2 + (11479*s[43])/22 + (6934*s[44])/11 + 
       (152059*s[45])/66 - (240224*s[46])/33 - (77203*s[47])/66 + 
       (104932*s[48])/33 + (180613*s[49])/66 + (21599*s[50])/11 - 
       (11931*s[51])/11 + (2737*s[52])/66 - (537137*s[53])/198 + 
       (225325*s[54])/33 - (256658*s[55])/11 - (3344137*s[56])/198 - 
       (1571615*s[57])/594 - (9750673*s[58])/891 + (6525685*s[59])/891 + 
       (4493410*s[60])/99 - (68058223*s[61])/8019 + 2*s[65] + 12*s[66] - 
       12*s[67] - 24*s[68] - 16*s[69] + 32*s[70] - 38*s[71] - 28*s[72] - 
       116*s[73] + 61*s[74] - 61*s[75] - 116*s[76] - 78*s[77] + 116*s[78] + 
       248*s[79] - (1142*s[80])/3 + 8*s[82] + 3*s[83] - 66*s[84] + 472*s[85])*
      \[Zeta][2] + HPL[{0, 1, 0, 1, 1}, 1 - v]*((1959*s[2])/2 + 
       (1801*s[3])/4 + (80657*s[4])/8 + (349627*s[5])/44 + 
       (1885805*s[6])/88 + (94598321*s[7])/528 - (27202531*s[8])/2376 - 
       (16263523*s[9])/108 - (1423550*s[10])/27 - (313201597*s[11])/1584 - 
       (20945927*s[12])/99 - (204053407*s[13])/1584 - (45987757*s[14])/1584 - 
       (35084105*s[15])/144 - (122222953*s[16])/396 - 
       (394007431*s[17])/1584 - (9363455*s[18])/324 - (22440173*s[19])/648 - 
       (2551100933*s[20])/7128 - (1870782103*s[21])/14256 + 
       (1335898199*s[22])/14256 + (67557833*s[23])/396 + 
       (369688747*s[24])/1782 - (7960259029*s[25])/32076 + 
       (4420761349*s[26])/32076 + 70*s[30] + 250*s[31] - 175*s[32] - 
       (85*s[33])/4 - 322*s[34] + 209*s[35] - (1264*s[36])/3 + 
       (371*s[37])/6 + 6304*s[38] - (83895*s[39])/4 + (290989*s[40])/12 - 
       (77099*s[41])/4 + (327875*s[42])/12 + (3399179*s[43])/132 - 
       (3027779*s[44])/132 + (3807343*s[45])/132 - (4497981*s[46])/22 - 
       (62999*s[47])/99 + (6651043*s[48])/396 - (11174575*s[49])/99 + 
       (10460497*s[50])/66 + (6594941*s[51])/396 + (1367099*s[52])/99 - 
       (14701853*s[53])/132 - (180909*s[54])/22 - (31641535*s[55])/44 - 
       (35026117*s[56])/198 + (80027627*s[57])/1188 - 
       (1012687261*s[58])/3564 + (1076769907*s[59])/3564 + 
       (4169787013*s[60])/2376 - (2817848107*s[61])/32076 + 11*s[65] + 
       70*s[66] - 66*s[67] - 248*s[68] + 318*s[69] + 84*s[70] - 61*s[71] - 
       134*s[72] - 946*s[73] + (265*s[74])/2 - (265*s[75])/2 - 420*s[76] - 
       413*s[77] + 364*s[78] + 1820*s[79] - (2275*s[80])/3 + 5100*s[82] + 
       75*s[83] + 186*s[84] + 504*s[85])*\[Zeta][2] + 
     HPL[{0, 1, 0, 1, 1}, 1 - w]*((1813*s[2])/2 - (509*s[3])/4 + 
       (70101*s[4])/8 + (225187*s[5])/22 + (2023695*s[6])/88 + 
       (301301125*s[7])/1584 - (8505715*s[8])/792 - (5834851*s[9])/36 - 
       (2101733*s[10])/36 - (109591661*s[11])/528 - (7181690*s[12])/33 - 
       (207276365*s[13])/1584 - (21407825*s[14])/528 - (38049679*s[15])/144 - 
       (130502693*s[16])/396 - (435982717*s[17])/1584 - (3519781*s[18])/108 - 
       (7616653*s[19])/216 - (926140657*s[20])/2376 - 
       (235105117*s[21])/1584 + (473570219*s[22])/4752 + 
       (32827073*s[23])/198 + (261816149*s[24])/1188 - 
       (302669105*s[25])/1188 + (176058917*s[26])/1188 + 22*s[29] - 
       61*s[30] + 182*s[31] - 197*s[32] - (665*s[33])/2 - 173*s[34] + 
       209*s[35] - (1264*s[36])/3 + (371*s[37])/6 + 6304*s[38] - 
       (83895*s[39])/4 + (290989*s[40])/12 - (77099*s[41])/4 + 
       (327875*s[42])/12 + (3399179*s[43])/132 - (3027779*s[44])/132 + 
       (3807343*s[45])/132 - (4497981*s[46])/22 - (62999*s[47])/99 + 
       (6651043*s[48])/396 - (11174575*s[49])/99 + (10460497*s[50])/66 + 
       (6594941*s[51])/396 + (1367099*s[52])/99 - (14701853*s[53])/132 - 
       (180909*s[54])/22 - (31641535*s[55])/44 - (35026117*s[56])/198 + 
       (80027627*s[57])/1188 - (1012687261*s[58])/3564 + 
       (1076769907*s[59])/3564 + (4169787013*s[60])/2376 - 
       (2817848107*s[61])/32076 + 11*s[65] + 70*s[66] - 66*s[67] - 
       248*s[68] + 318*s[69] + 84*s[70] - 61*s[71] - 134*s[72] - 946*s[73] + 
       (265*s[74])/2 - (265*s[75])/2 - 420*s[76] - 413*s[77] + 364*s[78] + 
       1820*s[79] - (2275*s[80])/3 + 5100*s[82] + 75*s[83] + 186*s[84] + 
       504*s[85])*\[Zeta][2] + Qep[w, u, v]*((-3136*s[2])/3 - 64*s[3] - 
       9520*s[4] - (238120*s[5])/33 - (471800*s[6])/33 - 
       (48522488*s[7])/297 + (1167704*s[8])/99 + (1235816*s[9])/9 + 
       (461576*s[10])/9 + (17583296*s[11])/99 + (2057512*s[12])/11 + 
       (32776504*s[13])/297 + (1834472*s[14])/99 + (6344480*s[15])/27 + 
       (85413664*s[16])/297 + (70672856*s[17])/297 + (1799512*s[18])/81 + 
       (3121040*s[19])/81 + (291043712*s[20])/891 + (103601248*s[21])/891 - 
       (25435160*s[22])/297 - (44425328*s[23])/297 - (57960112*s[24])/297 + 
       (1804346620*s[25])/8019 - (972170908*s[26])/8019 - (64*s[30])/3 - 
       (896*s[31])/3 + (640*s[32])/3 + (80*s[33])/3 + (1408*s[34])/3 + 
       (8960*s[36])/9 - (1280*s[37])/9 - (15808*s[38])/3 + 18976*s[39] - 
       (185888*s[40])/9 + (51520*s[41])/3 - (228352*s[42])/9 - 
       (2066272*s[43])/99 + (1959952*s[44])/99 - (2105792*s[45])/99 + 
       (5410912*s[46])/33 - (277760*s[47])/297 - (2741408*s[48])/297 + 
       (29776832*s[49])/297 - (13216960*s[50])/99 - (4351552*s[51])/297 - 
       (3080752*s[52])/297 + (9342560*s[53])/99 + (657952*s[54])/33 + 
       (58744640*s[55])/99 + (37168960*s[56])/297 - (34220128*s[57])/891 + 
       (582283712*s[58])/2673 - (651082592*s[59])/2673 - 
       (1270305088*s[60])/891 + (1518618608*s[61])/24057 + (640*s[68])/3 - 
       (1280*s[69])/3 + 768*s[73] + (1664*s[76])/3 + 256*s[77] - 
       (1792*s[78])/3 - (1024*s[79])/3 - (4864*s[80])/9 - 4608*s[82] + 
       512*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*
      (125*s[2] + (645*s[3])/2 + (9103*s[4])/4 + (29041*s[5])/11 + 
       (351973*s[6])/44 + (38887417*s[7])/792 - (3944489*s[8])/1188 - 
       (1113214*s[9])/27 - (350276*s[10])/27 - (42286427*s[11])/792 - 
       (5684117*s[12])/99 - (27317233*s[13])/792 - (10312439*s[14])/792 - 
       (4573523*s[15])/72 - (8134667*s[16])/99 - (17574355*s[17])/264 - 
       (965816*s[18])/81 - (1226269*s[19])/324 - (358327399*s[20])/3564 - 
       (284229365*s[21])/7128 + (179125117*s[22])/7128 + (5598304*s[23])/99 + 
       (88720957*s[24])/1782 - (520700014*s[25])/8019 + 
       (638870033*s[26])/16038 + 6*s[30] + 56*s[31] + 6*s[32] - 74*s[33] + 
       10*s[34] + 94*s[35] + 186*s[36] - 83*s[37] + 1380*s[38] - 5476*s[39] + 
       6570*s[40] - 5014*s[41] + 7631*s[42] + (69252*s[43])/11 - 
       (61125*s[44])/11 + (200245*s[45])/22 - (1323159*s[46])/22 + 
       (22991*s[47])/22 + (87627*s[48])/22 - (533679*s[49])/22 + 
       (472838*s[50])/11 + (355367*s[51])/66 + (56109*s[52])/11 - 
       (344229*s[53])/11 + (76298*s[54])/11 - (4495057*s[55])/22 - 
       (1397183*s[56])/22 + (435650*s[57])/11 - (6069331*s[58])/66 + 
       (5943925*s[59])/66 + (15864911*s[60])/33 - (3133034*s[61])/99 - 
       12*s[68] + 24*s[69] + 8*s[70] - 36*s[71] + 12*s[72] - 156*s[73] + 
       25*s[74] - 25*s[75] - 128*s[76] - 54*s[77] + 172*s[78] + 640*s[79] - 
       466*s[80] + 656*s[82] - 3*s[83] + 42*s[84] + 664*s[85])*\[Zeta][2] + 
     HPL[{0, 1, 0, 1, 1}, 1 - u]*(1392*s[2] + (711*s[3])/2 + (59267*s[4])/4 + 
       (579629*s[5])/44 + (363742*s[6])/11 + (216982987*s[7])/792 - 
       (5513476*s[8])/297 - (24936533*s[9])/108 - (8468983*s[10])/108 - 
       (238653739*s[11])/792 - (31954795*s[12])/99 - (51522767*s[13])/264 - 
       (36021163*s[14])/792 - (2967071*s[15])/8 - (20683547*s[16])/44 - 
       (299817071*s[17])/792 - (15469645*s[18])/324 - (15404399*s[19])/324 - 
       (1955490071*s[20])/3564 - (1454970619*s[21])/7128 + 
       (1020762125*s[22])/7128 + (18136951*s[23])/66 + 
       (551625611*s[24])/1782 - (24185844979*s[25])/64152 + 
       (13612340131*s[26])/64152 - 66*s[30] + 356*s[31] - 248*s[32] - 
       (63*s[33])/2 - 542*s[34] + 120*s[35] - (2170*s[36])/3 + 
       (811*s[37])/3 + 9314*s[38] - (68297*s[39])/2 + (231743*s[40])/6 - 
       (60811*s[41])/2 + (277345*s[42])/6 + (2472205*s[43])/66 - 
       (4630823*s[44])/132 + (2711507*s[45])/66 - (3349154*s[46])/11 + 
       (1662571*s[47])/396 + (7155157*s[48])/396 - (65762185*s[49])/396 + 
       (7712528*s[50])/33 + (11406761*s[51])/396 + (9480149*s[52])/396 - 
       (5431567*s[53])/33 - (75327*s[54])/11 - (138465103*s[55])/132 - 
       (104726135*s[56])/396 + (49629650*s[57])/297 - 
       (1572526063*s[58])/3564 + (1645082011*s[59])/3564 + 
       (6075387097*s[60])/2376 - (2105204069*s[61])/16038 - 272*s[68] + 
       544*s[69] + 48*s[70] - 62*s[71] - 64*s[72] - 1232*s[73] + 76*s[74] - 
       76*s[75] - 728*s[76] - 440*s[77] + 960*s[78] + 2284*s[79] - 
       (2458*s[80])/3 + 6516*s[82] + 75*s[83] + 186*s[84] + 744*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*
      (36*s[2] + (1293*s[3])/2 + (17881*s[4])/4 + (176547*s[5])/44 + 
       (134401*s[6])/11 + (21300299*s[7])/264 - (652628*s[8])/99 - 
       (2429905*s[9])/36 - (697199*s[10])/36 - (23338943*s[11])/264 - 
       (3209528*s[12])/33 - (5162643*s[13])/88 - (4244687*s[14])/264 - 
       (820797*s[15])/8 - (5866215*s[16])/44 - (27117907*s[17])/264 - 
       (2062649*s[18])/108 - (652351*s[19])/108 - (192068863*s[20])/1188 - 
       (148438823*s[21])/2376 + (98539753*s[22])/2376 + (1141187*s[23])/11 + 
       (24156629*s[24])/297 - (2357934119*s[25])/21384 + 
       (1391579135*s[26])/21384 + 12*s[31] + 12*s[32] - (183*s[33])/2 + 
       120*s[34] + 144*s[35] + 273*s[36] + (301*s[37])/2 + 2483*s[38] - 
       (43505*s[39])/4 + (50765*s[40])/4 - (37927*s[41])/4 + 
       (64087*s[42])/4 + (437615*s[43])/44 - (860389*s[44])/88 + 
       (551163*s[45])/44 - (2022347*s[46])/22 + (1159877*s[47])/264 + 
       (526739*s[48])/264 - (10305263*s[49])/264 + (717190*s[50])/11 + 
       (3024983*s[51])/264 + (2759455*s[52])/264 - (513075*s[53])/11 + 
       (304155*s[54])/22 - (26303329*s[55])/88 - (24908329*s[56])/264 + 
       (10331339*s[57])/99 - (362039429*s[58])/2376 + 
       (350580701*s[59])/2376 + (1131977387*s[60])/1584 - 
       (122785525*s[61])/2673 + 6*s[68] - 18*s[69] - 36*s[70] - 33*s[71] + 
       48*s[72] - 48*s[76] - 18*s[77] + 90*s[78] + 1212*s[79] - 761*s[80] - 
       630*s[82] - 36*s[83] + 216*s[84] + 792*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*(54*s[2] + (1153*s[3])/2 + 
       (20115*s[4])/4 + (87231*s[5])/22 + (553281*s[6])/44 + 
       (7537033*s[7])/88 - (2796649*s[8])/396 - (644924*s[9])/9 - 
       (368249*s[10])/18 - (24937597*s[11])/264 - (13799041*s[12])/132 - 
       (16812781*s[13])/264 - (3902227*s[14])/264 - (2587613*s[15])/24 - 
       (18629231*s[16])/132 - (28271395*s[17])/264 - (1031909*s[18])/54 - 
       (831503*s[19])/108 - (201155759*s[20])/1188 - (151871449*s[21])/2376 + 
       (105062453*s[22])/2376 + (7205021*s[23])/66 + (25999540*s[24])/297 - 
       (318573836*s[25])/2673 + (365192287*s[26])/5346 - 24*s[30] + 
       24*s[31] + 18*s[32] - 84*s[33] + 66*s[34] + 102*s[35] + 232*s[36] + 
       (237*s[37])/2 + 2764*s[38] - 11825*s[39] + 13753*s[40] - 
       (20657*s[41])/2 + (34743*s[42])/2 + (117295*s[43])/11 - 
       (116557*s[44])/11 + (575805*s[45])/44 - (4288887*s[46])/44 + 
       (106111*s[47])/22 + (46139*s[48])/22 - (938007*s[49])/22 + 
       (768255*s[50])/11 + (139028*s[51])/11 + (124015*s[52])/11 - 
       (6493781*s[53])/132 + (290431*s[54])/22 - (3459262*s[55])/11 - 
       (3231880*s[56])/33 + (22345445*s[57])/198 - (192054959*s[58])/1188 + 
       (92795701*s[59])/594 + (201309179*s[60])/264 - 
       (1024651183*s[61])/21384 + 12*s[68] - 24*s[69] - 39*s[71] + 48*s[72] - 
       3*s[74] + 3*s[75] - 60*s[76] - 52*s[77] + 108*s[78] + 1356*s[79] - 
       775*s[80] - 414*s[82] - 36*s[83] + 216*s[84] + 840*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*(518*s[2] + 364*s[3] + 
       5949*s[4] + (150199*s[5])/22 + (361737*s[6])/22 + 
       (25183229*s[7])/198 - (4964263*s[8])/594 - (5805053*s[9])/54 - 
       (1991017*s[10])/54 - (27385493*s[11])/198 - (14506682*s[12])/99 - 
       (5786501*s[13])/66 - (2660410*s[14])/99 - (519985*s[15])/3 - 
       (14405365*s[16])/66 - (17794292*s[17])/99 - (2012006*s[18])/81 - 
       (3062303*s[19])/162 - (462610427*s[20])/1782 - (88851193*s[21])/891 + 
       (117714037*s[22])/1782 + (8409979*s[23])/66 + (125158442*s[24])/891 - 
       (5458599565*s[25])/32076 + (3205509973*s[26])/32076 - 60*s[30] + 
       156*s[31] - 58*s[32] - 66*s[33] - 148*s[34] + 142*s[35] - 173*s[36] + 
       71*s[37] + 3691*s[38] - (51973*s[39])/4 + (59657*s[40])/4 - 
       (46363*s[41])/4 + (68795*s[42])/4 + (693067*s[43])/44 - 
       (1195569*s[44])/88 + (231485*s[45])/11 - (6121849*s[46])/44 + 
       (65293*s[47])/88 + (833511*s[48])/88 - (5819079*s[49])/88 + 
       (1154390*s[50])/11 + (945251*s[51])/88 + (849465*s[52])/88 - 
       (1673113*s[53])/22 + (10883*s[54])/11 - (130352861*s[55])/264 - 
       (11597389*s[56])/88 + (3466799*s[57])/66 - (157827931*s[58])/792 + 
       (163672153*s[59])/792 + (204424863*s[60])/176 - 
       (471392023*s[61])/7128 + 4*s[65] + 16*s[66] - 24*s[67] - 104*s[68] + 
       136*s[69] + 28*s[70] - 48*s[71] - 44*s[72] - 434*s[73] + 81*s[74] - 
       81*s[75] - 312*s[76] - 170*s[77] + 350*s[78] + 700*s[79] - 316*s[80] + 
       3456*s[82] - 3*s[83] + 42*s[84] + 888*s[85])*\[Zeta][2] + 
     Qep[v, w, u]*((-1696*s[2])/3 + (224*s[3])/3 - 4496*s[4] - 
       (28664*s[5])/11 - (46472*s[6])/11 - (19705328*s[7])/297 + 
       (3740392*s[8])/891 + (4530632*s[9])/81 + (1753816*s[10])/81 + 
       (21744704*s[11])/297 + (22685944*s[12])/297 + (1519256*s[13])/33 + 
       (934856*s[14])/297 + (897064*s[15])/9 + (11882504*s[16])/99 + 
       (29648584*s[17])/297 + (1221208*s[18])/243 + (5119808*s[19])/243 + 
       (349559984*s[20])/2673 + (116502896*s[21])/2673 - 
       (94671160*s[22])/2673 - (1689976*s[23])/33 - (229877608*s[24])/2673 + 
       (2280837884*s[25])/24057 - (1142155292*s[26])/24057 - (448*s[31])/3 + 
       (416*s[32])/3 - (704*s[33])/3 + (1280*s[34])/3 + 128*s[35] + 
       (7616*s[36])/9 - (1552*s[37])/9 - 2592*s[38] + 9008*s[39] - 
       (83696*s[40])/9 + (24352*s[41])/3 - (106816*s[42])/9 - 
       (936592*s[43])/99 + (939184*s[44])/99 - (772936*s[45])/99 + 
       (6740072*s[46])/99 - (7664*s[47])/297 - (898400*s[48])/297 + 
       (15053744*s[49])/297 - (5981728*s[50])/99 - (1851376*s[51])/297 - 
       (972544*s[52])/297 + (12458344*s[53])/297 + (1923728*s[54])/99 + 
       (8512304*s[55])/33 + (1271264*s[56])/33 + (1374112*s[57])/297 + 
       (72187928*s[58])/891 - (89302208*s[59])/891 - (557205508*s[60])/891 + 
       (52701356*s[61])/2673 + 128*s[68] - 256*s[69] - 32*s[71] + 384*s[73] + 
       32*s[74] - 32*s[75] + 256*s[76] + 128*s[77] - 256*s[78] + 
       (640*s[79])/3 - (6560*s[80])/9 - (6272*s[82])/3 + (2816*s[85])/3)*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((333*s[2])/2 + (3077*s[3])/4 + (99643*s[4])/8 + (460283*s[5])/44 + 
       (2045403*s[6])/88 + (351385547*s[7])/1584 - (1501323*s[8])/88 - 
       (1126403*s[9])/6 - 62717*s[10] - (127860191*s[11])/528 - 
       (11467747*s[12])/44 - (245585275*s[13])/1584 - (17090327*s[14])/528 - 
       (43738685*s[15])/144 - (150441091*s[16])/396 - 
       (478506155*s[17])/1584 - (1030909*s[18])/27 - (8274487*s[19])/216 - 
       (1066416547*s[20])/2376 - (772446253*s[21])/4752 + 
       (20509887*s[22])/176 + (22621817*s[23])/99 + (99432923*s[24])/396 - 
       (6539620997*s[25])/21384 + (3616376537*s[26])/21384 + 6*s[29] - 
       3*s[30] - 18*s[31] + 24*s[32] - 18*s[33] - 51*s[34] - 315*s[35] - 
       (1616*s[36])/3 + (1053*s[37])/2 + 7300*s[38] - (112875*s[39])/4 + 
       (376193*s[40])/12 - (100001*s[41])/4 + (477109*s[42])/12 + 
       (319205*s[43])/12 - (161965*s[44])/6 + (128661*s[45])/4 - 
       (722744*s[46])/3 + (137807*s[47])/18 + (224191*s[48])/36 - 
       (2218685*s[49])/18 + (1138243*s[50])/6 + (972371*s[51])/36 + 
       (750845*s[52])/36 - (4768003*s[53])/36 - (16289*s[54])/3 - 
       (3368177*s[55])/4 - (1878436*s[56])/9 + (16152193*s[57])/108 - 
       (115435151*s[58])/324 + (119328263*s[59])/324 + 
       (436009615*s[60])/216 - (76192130*s[61])/729 + 3*s[65] + 2*s[66] - 
       18*s[67] - 18*s[68] + 16*s[69] + 120*s[70] - 3*s[71] + 78*s[72] + 
       114*s[73] - (153*s[74])/2 + (153*s[75])/2 - 44*s[76] - 121*s[77] + 
       48*s[78] + 1784*s[79] - 239*s[80] + 5994*s[82] - 117*s[83] + 
       810*s[84] + 1512*s[85])*\[Zeta][2] + HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v]*((421*s[2])/2 + (4371*s[3])/4 + 
       (99927*s[4])/8 + (239931*s[5])/22 + (2331169*s[6])/88 + 
       (120923551*s[7])/528 - (42777307*s[8])/2376 - (5213488*s[9])/27 - 
       (6834953*s[10])/108 - (395667595*s[11])/1584 - (53497225*s[12])/198 - 
       (254824297*s[13])/1584 - (58235755*s[14])/1584 - 
       (44225939*s[15])/144 - (153795385*s[16])/396 - 
       (485698093*s[17])/1584 - (3573599*s[18])/81 - (21497543*s[19])/648 - 
       (3297619643*s[20])/7128 - (2438993005*s[21])/14256 + 
       (1703742089*s[22])/14256 + (24960899*s[23])/99 + 
       (894755801*s[24])/3564 - (20131483277*s[25])/64152 + 
       (11364344345*s[26])/64152 - 36*s[30] + 42*s[31] + 75*s[32] - 
       (437*s[33])/4 + 82*s[34] - 171*s[35] - (440*s[36])/3 + (825*s[37])/2 + 
       7348*s[38] - (115035*s[39])/4 + (390065*s[40])/12 - (102113*s[41])/4 + 
       (488149*s[42])/12 + (3656071*s[43])/132 - (1812209*s[44])/66 + 
       (1555251*s[45])/44 - (8466295*s[46])/33 + (1614289*s[47])/198 + 
       (3174557*s[48])/396 - (24281539*s[49])/198 + (12990737*s[50])/66 + 
       (11182681*s[51])/396 + (9111043*s[52])/396 - (54781277*s[53])/396 + 
       (172121*s[54])/33 - (38967651*s[55])/44 - (23341460*s[56])/99 + 
       (209522723*s[57])/1188 - (1381653769*s[58])/3564 + 
       (1399062901*s[59])/3564 + (5029946873*s[60])/2376 - 
       (1889974685*s[61])/16038 + 3*s[65] + 2*s[66] - 18*s[67] + 6*s[68] - 
       32*s[69] + 120*s[70] - 39*s[71] + 78*s[72] + 114*s[73] - 
       (81*s[74])/2 + (81*s[75])/2 - 68*s[76] - 121*s[77] + 96*s[78] + 
       2216*s[79] - 755*s[80] + 5298*s[82] - 117*s[83] + 810*s[84] + 
       2136*s[85])*\[Zeta][2] + HPL[{0, 0, 1, 1, 1}, 1 - v]*
      (3391*s[2] + (4053*s[3])/2 + (160821*s[4])/4 + (728875*s[5])/22 + 
       (3717143*s[6])/44 + (192448397*s[7])/264 - (57330073*s[8])/1188 - 
       (16566038*s[9])/27 - (5810428*s[10])/27 - (634565935*s[11])/792 - 
       (339016153*s[12])/396 - (409907659*s[13])/792 - (93662293*s[14])/792 - 
       (71734637*s[15])/72 - (248809129*s[16])/198 - (803763541*s[17])/792 - 
       (9712351*s[18])/81 - (44789831*s[19])/324 - (5216750519*s[20])/3564 - 
       (3827747455*s[21])/7128 + (2718238271*s[22])/7128 + 
       (277044205*s[23])/396 + (2998116013*s[24])/3564 - 
       (32232378863*s[25])/32076 + (17951975741*s[26])/32076 + 144*s[30] + 
       864*s[31] - 510*s[32] - (125*s[33])/2 - 1072*s[34] + 480*s[35] - 
       (5128*s[36])/3 + 382*s[37] + 24894*s[38] - (170241*s[39])/2 + 
       (584723*s[40])/6 - (155651*s[41])/2 + (674383*s[42])/6 + 
       (6631333*s[43])/66 - (3006326*s[44])/33 + (1276139*s[45])/11 - 
       (54356221*s[46])/66 + (367295*s[47])/198 + (5924476*s[48])/99 - 
       (88233149*s[49])/198 + (21173201*s[50])/33 + (6920792*s[51])/99 + 
       (11248195*s[52])/198 - (44680930*s[53])/99 - (1111136*s[54])/33 - 
       (95959528*s[55])/33 - (141366623*s[56])/198 + (169693451*s[57])/594 - 
       (2049965461*s[58])/1782 + (1085615978*s[59])/891 + 
       (8374273817*s[60])/1188 - (11439406595*s[61])/32076 + 36*s[65] + 
       184*s[66] - 216*s[67] - 792*s[68] + 1064*s[69] + 372*s[70] - 
       204*s[71] - 372*s[72] - 2940*s[73] + 381*s[74] - 381*s[75] - 
       1444*s[76] - 1370*s[77] + 1356*s[78] + 6496*s[79] - 2284*s[80] + 
       22176*s[82] + 144*s[83] + 1152*s[84] + 3024*s[85])*\[Zeta][2] + 
     HPL[{0, 0, 1, 1, 1}, 1 - w]*(3051*s[2] + (251*s[3])/2 + 
       (143713*s[4])/4 + (886643*s[5])/22 + (3942815*s[6])/44 + 
       (602706749*s[7])/792 - (6003005*s[8])/132 - (1295213*s[9])/2 - 
       (694838*s[10])/3 - (219005135*s[11])/264 - (38390725*s[12])/44 - 
       (413981701*s[13])/792 - (41120069*s[14])/264 - (76106915*s[15])/72 - 
       (260903113*s[16])/198 - (866776235*s[17])/792 - (7053787*s[18])/54 - 
       (15099883*s[19])/108 - (1853116351*s[20])/1188 - 
       (1400148559*s[21])/2376 + (315827365*s[22])/792 + 
       (268015633*s[23])/396 + (38703361*s[24])/44 - (2732024825*s[25])/
        2673 + (3156351937*s[26])/5346 + 72*s[29] - 210*s[30] + 588*s[31] - 
       588*s[32] - 1023*s[33] - 606*s[34] + 480*s[35] - (5128*s[36])/3 + 
       382*s[37] + 24894*s[38] - (170241*s[39])/2 + (584723*s[40])/6 - 
       (155651*s[41])/2 + (674383*s[42])/6 + (6631333*s[43])/66 - 
       (3006326*s[44])/33 + (1276139*s[45])/11 - (54356221*s[46])/66 + 
       (367295*s[47])/198 + (5924476*s[48])/99 - (88233149*s[49])/198 + 
       (21173201*s[50])/33 + (6920792*s[51])/99 + (11248195*s[52])/198 - 
       (44680930*s[53])/99 - (1111136*s[54])/33 - (95959528*s[55])/33 - 
       (141366623*s[56])/198 + (169693451*s[57])/594 - 
       (2049965461*s[58])/1782 + (1085615978*s[59])/891 + 
       (8374273817*s[60])/1188 - (11439406595*s[61])/32076 + 36*s[65] + 
       184*s[66] - 216*s[67] - 792*s[68] + 1064*s[69] + 372*s[70] - 
       204*s[71] - 372*s[72] - 2940*s[73] + 381*s[74] - 381*s[75] - 
       1444*s[76] - 1370*s[77] + 1356*s[78] + 6496*s[79] - 2284*s[80] + 
       22176*s[82] + 144*s[83] + 1152*s[84] + 3024*s[85])*\[Zeta][2] + 
     HPL[{0, 0, 1, 1, 1}, 1 - u]*(4524*s[2] + 1756*s[3] + 55878*s[4] + 
       (1105295*s[5])/22 + (2688835*s[6])/22 + (22867381*s[7])/22 - 
       (14179733*s[8])/198 - (15782179*s[9])/18 - (5377073*s[10])/18 - 
       (37658573*s[11])/33 - (80640599*s[12])/66 - (48577261*s[13])/66 - 
       (11321815*s[14])/66 - (4236535*s[15])/3 - (58900220*s[16])/33 - 
       (94876219*s[17])/66 - (9793229*s[18])/54 - (4872263*s[19])/27 - 
       (620432012*s[20])/297 - (230328122*s[21])/297 + 
       (323037947*s[22])/594 + (34382104*s[23])/33 + (349227727*s[24])/297 - 
       (15267091379*s[25])/10692 + (8589391619*s[26])/10692 - 264*s[30] + 
       1104*s[31] - 770*s[32] - 190*s[33] - 1716*s[34] + 120*s[35] - 
       2928*s[36] + 1242*s[37] + 35020*s[38] - 128546*s[39] + 144986*s[40] - 
       114444*s[41] + 174728*s[42] + (1526350*s[43])/11 - 
       (1441897*s[44])/11 + (1722879*s[45])/11 - (12683459*s[46])/11 + 
       (195969*s[47])/11 + (703223*s[48])/11 - (6820551*s[49])/11 + 
       (9788572*s[50])/11 + (1213173*s[51])/11 + (995165*s[52])/11 - 
       (20662357*s[53])/33 - (331854*s[54])/11 - (131824919*s[55])/33 - 
       (33104441*s[56])/33 + (61581644*s[57])/99 - (496534930*s[58])/297 + 
       (518818327*s[59])/297 + (106646566*s[60])/11 - 
       (2671829081*s[61])/5346 - 864*s[68] + 1728*s[69] + 288*s[70] - 
       204*s[71] - 144*s[72] - 3912*s[73] + 192*s[74] - 192*s[75] - 
       2240*s[76] - 1480*s[77] + 2976*s[78] + 8160*s[79] - 2484*s[80] + 
       26424*s[82] + 144*s[83] + 1152*s[84] + 3744*s[85])*\[Zeta][2] + 
     HPL[{0, 0, 1}, 1 - v]*((4252*s[2])/5 - 685*s[3] + (98607*s[4])/20 + 
       (60723*s[5])/8 + (486733*s[6])/40 + (44470717*s[7])/360 - 
       (1426517*s[8])/216 - (23078285*s[9])/216 - (41365913*s[10])/1080 - 
       (1213433*s[11])/9 - (50480467*s[12])/360 - (30158407*s[13])/360 - 
       (8320259*s[14])/360 - (15788257*s[15])/90 - (38899211*s[16])/180 - 
       (21762011*s[17])/120 - (63641861*s[18])/3240 - (8017225*s[19])/324 - 
       (102870436*s[20])/405 - (157404943*s[21])/1620 + 
       (213276907*s[22])/3240 + (18631837*s[23])/180 + 
       (234092123*s[24])/1620 - (9627132763*s[25])/58320 + 
       (5544079939*s[26])/58320 + (4*s[28])/5 + (236*s[29])/5 - 
       (243*s[30])/5 + (1502*s[31])/5 - (683*s[32])/5 + (2339*s[33])/20 - 
       (3078*s[34])/5 - (338*s[35])/5 - (12454*s[36])/15 + (18269*s[37])/30 + 
       (22319*s[38])/5 - 14196*s[39] + (227278*s[40])/15 - (23801*s[41])/2 + 
       (544147*s[42])/30 + (2622878*s[43])/165 - (4721557*s[44])/330 + 
       (2487677*s[45])/132 - (28832861*s[46])/220 + (339883*s[47])/495 + 
       (3526264*s[48])/495 - (36937234*s[49])/495 + (3426469*s[50])/33 + 
       (9993727*s[51])/990 + (8083651*s[52])/990 - (48894211*s[53])/660 - 
       (320533*s[54])/22 - (31278757*s[55])/66 - (106031017*s[56])/990 + 
       (114852691*s[57])/2970 - (3218067631*s[58])/17820 + 
       (880371088*s[59])/4455 + (13440760783*s[60])/11880 - 
       (17061916337*s[61])/320760 - (8*s[64])/5 + 4*s[65] + (112*s[66])/5 - 
       (192*s[67])/5 - (728*s[68])/5 + (1028*s[69])/5 + (36*s[70])/5 + 
       (49*s[71])/5 - 60*s[72] - 616*s[73] + (216*s[74])/5 - (228*s[75])/5 - 
       (2736*s[76])/5 - (638*s[77])/5 + (2676*s[78])/5 + 148*s[79] + 
       (1513*s[80])/3 + (26094*s[82])/5 + (84*s[83])/5 - (216*s[84])/5 - 
       (1236*s[85])/5)*\[Zeta][2]^2 + HPL[{0, 0, 1}, 1 - w]*
      ((3236*s[2])/5 - (142*s[3])/5 + (128347*s[4])/20 + (2470129*s[5])/440 + 
       (4848011*s[6])/440 + (49658553*s[7])/440 - (91734527*s[8])/11880 - 
       (103190617*s[9])/1080 - (36108269*s[10])/1080 - (49097467*s[11])/396 - 
       (520688573*s[12])/3960 - (311689603*s[13])/3960 - 
       (53494951*s[14])/3960 - (28600633*s[15])/180 - 
       (389994497*s[16])/1980 - (636401389*s[17])/3960 - 
       (55307213*s[18])/3240 - (38453867*s[19])/1620 - 
       (400115867*s[20])/1782 - (366911741*s[21])/4455 + 
       (2120719091*s[22])/35640 + (220756159*s[23])/1980 + 
       (2327710333*s[24])/17820 - (100258020089*s[25])/641520 + 
       (54969253073*s[26])/641520 - (69*s[30])/5 + (1134*s[31])/5 - 
       (513*s[32])/5 + (1713*s[33])/20 - (2336*s[34])/5 - (338*s[35])/5 - 
       (12454*s[36])/15 + (18269*s[37])/30 + (22319*s[38])/5 - 14196*s[39] + 
       (227278*s[40])/15 - (23801*s[41])/2 + (544147*s[42])/30 + 
       (2622878*s[43])/165 - (4721557*s[44])/330 + (2487677*s[45])/132 - 
       (28832861*s[46])/220 + (339883*s[47])/495 + (3526264*s[48])/495 - 
       (36937234*s[49])/495 + (3426469*s[50])/33 + (9993727*s[51])/990 + 
       (8083651*s[52])/990 - (48894211*s[53])/660 - (320533*s[54])/22 - 
       (31278757*s[55])/66 - (106031017*s[56])/990 + (114852691*s[57])/2970 - 
       (3218067631*s[58])/17820 + (880371088*s[59])/4455 + 
       (13440760783*s[60])/11880 - (17061916337*s[61])/320760 - (8*s[64])/5 + 
       4*s[65] + (112*s[66])/5 - (192*s[67])/5 - (728*s[68])/5 + 
       (1028*s[69])/5 + (36*s[70])/5 + (49*s[71])/5 - 60*s[72] - 616*s[73] + 
       (216*s[74])/5 - (228*s[75])/5 - (2736*s[76])/5 - (638*s[77])/5 + 
       (2676*s[78])/5 + 148*s[79] + (1513*s[80])/3 + (26094*s[82])/5 + 
       (84*s[83])/5 - (216*s[84])/5 - (1236*s[85])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*((2022*s[2])/5 - (344*s[3])/5 + 
       (55729*s[4])/10 + (435453*s[5])/110 + (465814*s[6])/55 + 
       (29644973*s[7])/330 - (10022788*s[8])/1485 - (10224968*s[9])/135 - 
       (6992297*s[10])/270 - (97949161*s[11])/990 - (52569607*s[12])/495 - 
       (63214933*s[13])/990 - (4370087*s[14])/495 - (11251931*s[15])/90 - 
       (154127251*s[16])/990 - (24592655*s[17])/198 - (5181223*s[18])/405 - 
       (7769987*s[19])/405 - (158103397*s[20])/891 - (560111749*s[21])/8910 + 
       (211360714*s[22])/4455 + (44776606*s[23])/495 + 
       (467680207*s[24])/4455 - (10141884229*s[25])/80190 + 
       (5400511789*s[26])/80190 + (2*s[30])/5 + (564*s[31])/5 - 80*s[32] + 
       (103*s[33])/2 - (1202*s[34])/5 - (588*s[35])/5 - (2812*s[36])/5 + 
       (5317*s[37])/15 + (16378*s[38])/5 - (61876*s[39])/5 + 
       (67124*s[40])/5 - (54243*s[41])/5 + (85591*s[42])/5 + 
       (655024*s[43])/55 - (1335473*s[44])/110 + (3926123*s[45])/330 - 
       (31890557*s[46])/330 + (160781*s[47])/66 + (969829*s[48])/330 - 
       (3806543*s[49])/66 + (4278992*s[50])/55 + (696859*s[51])/66 + 
       (2552153*s[52])/330 - (53660407*s[53])/990 - (1412713*s[54])/165 - 
       (111944059*s[55])/330 - (14919361*s[56])/198 + (79577836*s[57])/1485 - 
       (613733801*s[58])/4455 + (1327317949*s[59])/8910 + 
       (408168419*s[60])/495 - (5932470911*s[61])/160380 - (384*s[68])/5 + 
       (784*s[69])/5 + (48*s[70])/5 + (86*s[71])/5 + (96*s[72])/5 - 
       288*s[73] - 36*s[74] + 36*s[75] - (1128*s[76])/5 - (492*s[77])/5 + 
       228*s[78] + (3032*s[79])/5 + (1574*s[80])/15 + (9836*s[82])/5 + 
       (12*s[83])/5 + (1008*s[84])/5 - 216*s[85])*\[Zeta][2]^2 + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*(73*s[2] + (1579*s[3])/10 + 
       (65107*s[4])/20 + (72246*s[5])/55 + (630937*s[6])/220 + 
       (162908609*s[7])/3960 - (2441867*s[8])/660 - (172072*s[9])/5 - 
       (339463*s[10])/30 - (59819297*s[11])/1320 - (2743333*s[12])/55 - 
       (116942929*s[13])/3960 - (614849*s[14])/1320 - (20568767*s[15])/360 - 
       (6991135*s[16])/99 - (211200629*s[17])/3960 - (744458*s[18])/135 - 
       (4960429*s[19])/540 - (94644005*s[20])/1188 - (308957743*s[21])/
        11880 + (86257177*s[22])/3960 + (47632751*s[23])/990 + 
       (7872239*s[24])/165 - (3200999999*s[25])/53460 + 
       (1592222351*s[26])/53460 + (256*s[30])/5 + 12*s[31] - 18*s[32] + 
       (309*s[33])/10 - (328*s[34])/5 - (486*s[35])/5 - (3826*s[36])/15 + 
       (604*s[37])/5 + (7924*s[38])/5 - (30652*s[39])/5 + (99802*s[40])/15 - 
       (27304*s[41])/5 + (131021*s[42])/15 + (859712*s[43])/165 - 
       (3794981*s[44])/660 + (244741*s[45])/55 - (6802181*s[46])/165 + 
       (695903*s[47])/396 + (661051*s[48])/1980 - (51387409*s[49])/1980 + 
       (5565926*s[50])/165 + (11467271*s[51])/1980 + (8223653*s[52])/1980 - 
       (4495441*s[53])/198 - (112237*s[54])/33 - (30781491*s[55])/220 - 
       (59133259*s[56])/1980 + (100724831*s[57])/2970 - 
       (217870465*s[58])/3564 + (1162982873*s[59])/17820 + 
       (830786423*s[60])/2376 - (579522992*s[61])/40095 - (8*s[62])/5 - 
       (4*s[64])/5 - (4*s[65])/5 - (148*s[68])/5 + 40*s[69] - (12*s[70])/5 + 
       8*s[71] + (84*s[72])/5 - (44*s[73])/5 - (201*s[74])/5 + 
       (201*s[75])/5 - (124*s[76])/5 - (22*s[77])/5 + (48*s[78])/5 + 
       (1968*s[79])/5 + (408*s[80])/5 + (4632*s[82])/5 - (12*s[83])/5 + 
       (1296*s[84])/5 - (856*s[85])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*((-24*s[2])/5 - (92*s[3])/5 - 
       (549*s[4])/10 - (16253*s[5])/220 - (10371*s[6])/220 - 
       (76445*s[7])/44 + (679717*s[8])/1980 + (46783*s[9])/36 + 
       (134599*s[10])/180 + (537289*s[11])/330 + (1099921*s[12])/660 + 
       (431579*s[13])/660 + (34609*s[14])/132 + (82171*s[15])/30 + 
       (528221*s[16])/165 + (1956743*s[17])/660 + (174811*s[18])/540 + 
       (22337*s[19])/54 + (10835377*s[20])/2970 + (3631477*s[21])/2970 - 
       (4834771*s[22])/5940 - (293737*s[23])/165 - (6045977*s[24])/2970 + 
       (219278407*s[25])/106920 - (118245631*s[26])/106920 - 4*s[30] + 
       (363*s[33])/10 - (182*s[34])/5 - (66*s[35])/5 - (38*s[36])/3 + 
       (143*s[37])/30 + (283*s[38])/5 - (23*s[39])/2 - (1111*s[40])/30 + 
       (72*s[41])/5 - (223*s[42])/15 - (21341*s[43])/330 + 
       (82303*s[44])/660 - (142073*s[45])/660 + (303807*s[46])/220 + 
       (144109*s[47])/1980 - (449033*s[48])/1980 + (157717*s[49])/396 - 
       (184537*s[50])/165 + (81953*s[51])/1980 + (26395*s[52])/396 + 
       (566321*s[53])/660 - (17543*s[54])/110 + (3761047*s[55])/660 + 
       (656177*s[56])/396 + (1009487*s[57])/594 + (6034232*s[58])/4455 - 
       (23423201*s[59])/17820 - (73117171*s[60])/5940 + 
       (299680597*s[61])/320760 - (27*s[71])/5 - (12*s[74])/5 + 
       (12*s[75])/5 - 2*s[78] - 20*s[79] + (803*s[80])/15 - (2128*s[82])/5 - 
       (208*s[85])/5)*\[Zeta][2]^2 + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      ((-24*s[2])/5 - (116*s[3])/5 + (501*s[4])/10 - (2471*s[5])/22 - 
       (20236*s[6])/55 - (182189*s[7])/198 - (435199*s[8])/2970 + 
       (108062*s[9])/135 + (39691*s[10])/135 + (110089*s[11])/99 + 
       (1064369*s[12])/990 + (254989*s[13])/330 + (108643*s[14])/99 + 
       (17527*s[15])/15 + (292729*s[16])/165 + (1723169*s[17])/990 + 
       (41317*s[18])/162 + (19061*s[19])/405 + (22884571*s[20])/8910 + 
       (1968383*s[21])/1782 - (4425857*s[22])/8910 + (103346*s[23])/165 - 
       (12286181*s[24])/8910 + (176522243*s[25])/160380 - 
       (145490189*s[26])/160380 + (54*s[30])/5 - 31*s[33] + (56*s[34])/5 - 
       (66*s[35])/5 - (38*s[36])/3 + (143*s[37])/30 + (283*s[38])/5 - 
       (23*s[39])/2 - (1111*s[40])/30 + (72*s[41])/5 - (223*s[42])/15 - 
       (21341*s[43])/330 + (82303*s[44])/660 - (142073*s[45])/660 + 
       (303807*s[46])/220 + (144109*s[47])/1980 - (449033*s[48])/1980 + 
       (157717*s[49])/396 - (184537*s[50])/165 + (81953*s[51])/1980 + 
       (26395*s[52])/396 + (566321*s[53])/660 - (17543*s[54])/110 + 
       (3761047*s[55])/660 + (656177*s[56])/396 + (1009487*s[57])/594 + 
       (6034232*s[58])/4455 - (23423201*s[59])/17820 - 
       (73117171*s[60])/5940 + (299680597*s[61])/320760 - (27*s[71])/5 - 
       (12*s[74])/5 + (12*s[75])/5 - 2*s[78] - 20*s[79] + (803*s[80])/15 - 
       (2128*s[82])/5 - (208*s[85])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*((-296*s[2])/5 - (38*s[3])/5 - 
       (3623*s[4])/5 - (89949*s[5])/110 - (78382*s[6])/55 - 
       (10045271*s[7])/660 + (97241*s[8])/110 + (129107*s[9])/10 + 
       (25252*s[10])/5 + (1809913*s[11])/110 + (746555*s[12])/44 + 
       (6540871*s[13])/660 + (622827*s[14])/220 + (1345751*s[15])/60 + 
       (9007949*s[16])/330 + (3856748*s[17])/165 + (97792*s[18])/45 + 
       (162893*s[19])/45 + (31262701*s[20])/990 + (23079589*s[21])/1980 - 
       (1055759*s[22])/132 - (7708169*s[23])/660 - (12290441*s[24])/660 + 
       (90559849*s[25])/4455 - (51230578*s[26])/4455 - 12*s[31] + 14*s[32] - 
       (53*s[33])/5 + 30*s[34] - (38*s[35])/5 + (1498*s[36])/15 + 
       (109*s[37])/3 - (2619*s[38])/5 + 1641*s[39] - (26263*s[40])/15 + 
       (14763*s[41])/10 - (61771*s[42])/30 - (332039*s[43])/165 + 
       (298916*s[44])/165 - (795761*s[45])/330 + (1850951*s[46])/110 + 
       (75349*s[47])/396 - (2472343*s[48])/1980 + (19431493*s[49])/1980 - 
       (2296907*s[50])/165 - (2210393*s[51])/1980 - (383939*s[52])/495 + 
       (1633373*s[53])/165 + (283959*s[54])/110 + (8383135*s[55])/132 + 
       (5230639*s[56])/396 + (2112076*s[57])/1485 + (75574247*s[58])/3564 - 
       (85778753*s[59])/3564 - (1778391469*s[60])/11880 + 
       (1108025353*s[61])/160380 + 18*s[68] - 34*s[69] + (3*s[71])/5 + 
       72*s[73] - (13*s[74])/5 + (13*s[75])/5 + 44*s[76] + 20*s[77] - 
       48*s[78] + (252*s[79])/5 - (280*s[80])/3 - (4416*s[82])/5 - 
       (192*s[85])/5)*\[Zeta][2]^2 + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      ((-416*s[2])/5 + (81*s[3])/5 - (7033*s[4])/10 - (9037*s[5])/11 - 
       (29861*s[6])/22 - (7578964*s[7])/495 + (1337411*s[8])/1485 + 
       (1752346*s[9])/135 + (688877*s[10])/135 + (8212684*s[11])/495 + 
       (8482103*s[12])/495 + (3336097*s[13])/330 + (2500277*s[14])/990 + 
       (335662*s[15])/15 + (2987749*s[16])/110 + (2291995*s[17])/99 + 
       (887738*s[18])/405 + (2941391*s[19])/810 + (55960171*s[20])/1782 + 
       (103837067*s[21])/8910 - (35859137*s[22])/4455 - (1996129*s[23])/165 - 
       (166752601*s[24])/8910 + (823420711*s[25])/40095 - 
       (463825864*s[26])/40095 + 18*s[30] - 28*s[31] + 14*s[32] - 13*s[33] + 
       (234*s[34])/5 - (38*s[35])/5 + (1498*s[36])/15 + (109*s[37])/3 - 
       (2619*s[38])/5 + 1641*s[39] - (26263*s[40])/15 + (14763*s[41])/10 - 
       (61771*s[42])/30 - (332039*s[43])/165 + (298916*s[44])/165 - 
       (795761*s[45])/330 + (1850951*s[46])/110 + (75349*s[47])/396 - 
       (2472343*s[48])/1980 + (19431493*s[49])/1980 - (2296907*s[50])/165 - 
       (2210393*s[51])/1980 - (383939*s[52])/495 + (1633373*s[53])/165 + 
       (283959*s[54])/110 + (8383135*s[55])/132 + (5230639*s[56])/396 + 
       (2112076*s[57])/1485 + (75574247*s[58])/3564 - (85778753*s[59])/3564 - 
       (1778391469*s[60])/11880 + (1108025353*s[61])/160380 + 18*s[68] - 
       34*s[69] + (3*s[71])/5 + 72*s[73] - (13*s[74])/5 + (13*s[75])/5 + 
       44*s[76] + 20*s[77] - 48*s[78] + (252*s[79])/5 - (280*s[80])/3 - 
       (4416*s[82])/5 - (192*s[85])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - w]^3*(41*s[2] + 10*s[3] + (18547*s[4])/60 + 
       (152259*s[5])/440 + (68517*s[6])/88 + (5155585*s[7])/792 - 
       (3666001*s[8])/11880 - (1198795*s[9])/216 - (2211991*s[10])/1080 - 
       (14091889*s[11])/1980 - (29264623*s[12])/3960 - (5907751*s[13])/1320 - 
       (5788469*s[14])/3960 - (413062*s[15])/45 - (628726*s[16])/55 - 
       (38411779*s[17])/3960 - (678719*s[18])/648 - (2132191*s[19])/1620 - 
       (119774837*s[20])/8910 - (45096167*s[21])/8910 + 
       (121923973*s[22])/35640 + (565887*s[23])/110 + (68382463*s[24])/8910 - 
       (1119988187*s[25])/128304 + (3227060983*s[26])/641520 - (2*s[27])/15 + 
       (4*s[29])/3 - s[30] + (38*s[31])/3 - 7*s[32] + (731*s[33])/60 - 
       (382*s[34])/15 + 6*s[35] - (123*s[36])/5 - (16*s[37])/5 + 
       (670*s[38])/3 - (2999*s[39])/4 + (50477*s[40])/60 - (41489*s[41])/60 + 
       (19511*s[42])/20 + (587951*s[43])/660 - (217523*s[44])/264 + 
       (159391*s[45])/165 - (1535687*s[46])/220 - (34417*s[47])/3960 + 
       (2244893*s[48])/3960 - (16130813*s[49])/3960 + (60683*s[50])/11 + 
       (52489*s[51])/88 + (1788361*s[52])/3960 - (7678727*s[53])/1980 - 
       (32632*s[54])/55 - (98033849*s[55])/3960 - (7536277*s[56])/1320 + 
       (937016*s[57])/495 - (7483445*s[58])/792 + (13543169*s[59])/1320 + 
       (286716967*s[60])/4752 - (61461251*s[61])/21384 - 10*s[68] + 
       (50*s[69])/3 - (14*s[71])/5 - 36*s[73] + s[74] - s[75] - 
       (80*s[76])/3 - (34*s[77])/3 + (92*s[78])/3 + 40*s[79] + 
       (152*s[80])/15 + (662*s[82])/5 - 4*s[85])*\[Zeta][2]^2 + 
     HPL[{1}, 1 - v]^3*(41*s[2] - (601*s[3])/30 + (10871*s[4])/30 + 
       (326519*s[5])/1320 + (277797*s[6])/440 + (3990287*s[7])/660 - 
       (5039501*s[8])/11880 - (1094261*s[9])/216 - (1918541*s[10])/1080 - 
       (26349751*s[11])/3960 - (28252607*s[12])/3960 - (2123354*s[13])/495 - 
       (1376729*s[14])/1980 - (2988301*s[15])/360 - (20644769*s[16])/1980 - 
       (4158254*s[17])/495 - (586201*s[18])/648 - (513302*s[19])/405 - 
       (211405967*s[20])/17820 - (151773133*s[21])/35640 + 
       (14081149*s[22])/4455 + (1183471*s[23])/198 + (62339207*s[24])/8910 - 
       (5422112021*s[25])/641520 + (2928476549*s[26])/641520 - 
       (73*s[30])/15 + 14*s[31] - 7*s[32] - (5*s[33])/4 - 20*s[34] + 
       6*s[35] - (123*s[36])/5 - (16*s[37])/5 + (670*s[38])/3 - 
       (2999*s[39])/4 + (50477*s[40])/60 - (41489*s[41])/60 + 
       (19511*s[42])/20 + (587951*s[43])/660 - (217523*s[44])/264 + 
       (159391*s[45])/165 - (1535687*s[46])/220 - (34417*s[47])/3960 + 
       (2244893*s[48])/3960 - (16130813*s[49])/3960 + (60683*s[50])/11 + 
       (52489*s[51])/88 + (1788361*s[52])/3960 - (7678727*s[53])/1980 - 
       (32632*s[54])/55 - (98033849*s[55])/3960 - (7536277*s[56])/1320 + 
       (937016*s[57])/495 - (7483445*s[58])/792 + (13543169*s[59])/1320 + 
       (286716967*s[60])/4752 - (61461251*s[61])/21384 - 10*s[68] + 
       (50*s[69])/3 - (14*s[71])/5 - 36*s[73] + s[74] - s[75] - 
       (80*s[76])/3 - (34*s[77])/3 + (92*s[78])/3 + 40*s[79] + 
       (152*s[80])/15 + (662*s[82])/5 - 4*s[85])*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]^3*(45*s[2] + (47*s[3])/2 + (825*s[4])/2 + 
       (181913*s[5])/440 + (468037*s[6])/440 + (5407403*s[7])/660 - 
       (6281389*s[8])/11880 - (7443329*s[9])/1080 - (2565409*s[10])/1080 - 
       (35376701*s[11])/3960 - (37526593*s[12])/3960 - (5637479*s[13])/990 - 
       (3285541*s[14])/1980 - (4027393*s[15])/360 - (5579969*s[16])/396 - 
       (22965163*s[17])/1980 - (993329*s[18])/648 - (1055603*s[19])/810 - 
       (295864369*s[20])/17820 - (224173781*s[21])/35640 + 
       (37853131*s[22])/8910 + (15958307*s[23])/1980 + 
       (162952139*s[24])/17820 - (1417834673*s[25])/128304 + 
       (4100000701*s[26])/641520 - s[30] + 14*s[31] - 7*s[32] - (5*s[33])/4 - 
       16*s[34] + 12*s[35] - 14*s[36] + (299*s[37])/30 + 251*s[38] - 
       (1869*s[39])/2 + (2129*s[40])/2 - 849*s[41] + 1266*s[42] + 
       (117027*s[43])/110 - (10693*s[44])/11 + (839659*s[45])/660 - 
       (5969923*s[46])/660 + (6263*s[47])/66 + (97976*s[48])/165 - 
       (1519699*s[49])/330 + (378431*s[50])/55 + (264311*s[51])/330 + 
       (45337*s[52])/66 - (9761003*s[53])/1980 + (15007*s[54])/330 - 
       (10425667*s[55])/330 - (819377*s[56])/99 + (6021358*s[57])/1485 - 
       (230450483*s[58])/17820 + (11995255*s[59])/891 + 
       (298247761*s[60])/3960 - (1326817549*s[61])/320760 - 8*s[68] + 
       16*s[69] - 3*s[71] - 36*s[73] + 3*s[74] - 3*s[75] - 28*s[76] - 
       12*s[77] + 32*s[78] + 52*s[79] - (53*s[80])/3 + (718*s[82])/5 + 
       28*s[85])*\[Zeta][2]^2 + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      (837*s[2] - (1367*s[3])/10 + (157211*s[4])/20 + (947151*s[5])/110 + 
       (3826503*s[6])/220 + (14129143*s[7])/88 - (20474099*s[8])/1980 - 
       (1232012*s[9])/9 - (426634*s[10])/9 - (231502523*s[11])/1320 - 
       (30554939*s[12])/165 - (146551817*s[13])/1320 - 
       (36067871*s[14])/1320 - (26789639*s[15])/120 - (18349615*s[16])/66 - 
       (301333733*s[17])/1320 - (3640886*s[18])/135 - (3163223*s[19])/108 - 
       (1936207111*s[20])/5940 - (1452780533*s[21])/11880 + 
       (201215033*s[22])/2376 + (50234947*s[23])/330 + 
       (272499731*s[24])/1485 - (11646345589*s[25])/53460 + 
       (1321023353*s[26])/10692 + (4*s[28])/5 + (64*s[29])/5 - 54*s[30] + 
       264*s[31] - (754*s[32])/5 + (468*s[33])/5 - (2526*s[34])/5 - 
       (152*s[35])/5 - (12659*s[36])/15 + (8501*s[37])/15 + (28207*s[38])/5 - 
       (80935*s[39])/4 + (1333301*s[40])/60 - (352533*s[41])/20 + 
       (327359*s[42])/12 + (14203063*s[43])/660 - (26774633*s[44])/1320 + 
       (4116371*s[45])/165 - (39783287*s[46])/220 + (10206967*s[47])/3960 + 
       (33269677*s[48])/3960 - (392058637*s[49])/3960 + 
       (23419762*s[50])/165 + (13113829*s[51])/792 + (52110923*s[52])/3960 - 
       (5547269*s[53])/55 - (627289*s[54])/55 - (169482859*s[55])/264 - 
       (604632431*s[56])/3960 + (237877187*s[57])/2970 - 
       (9152663653*s[58])/35640 + (9781125139*s[59])/35640 + 
       (36446827159*s[60])/23760 - (4853639375*s[61])/64152 - (4*s[64])/5 + 
       (8*s[65])/5 + (64*s[66])/5 - (96*s[67])/5 - (796*s[68])/5 + 
       (1384*s[69])/5 + (64*s[70])/5 - (34*s[71])/5 - (88*s[72])/5 - 
       586*s[73] + (82*s[74])/5 - (102*s[75])/5 - (2412*s[76])/5 - 
       196*s[77] + 514*s[78] + 756*s[79] + (4072*s[80])/15 + 
       (26372*s[82])/5 + 12*s[83] + (1008*s[84])/5 + (408*s[85])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((766*s[2])/5 + (479*s[3])/5 + (91049*s[4])/20 + (240217*s[5])/88 + 
       (650159*s[6])/88 + (88710173*s[7])/1320 - (65950999*s[8])/11880 - 
       (61128341*s[9])/1080 - (17964433*s[10])/1080 - (14787175*s[11])/198 - 
       (327467233*s[12])/3960 - (39821917*s[13])/792 - 
       (22847441*s[14])/3960 - (790489*s[15])/9 - (223014193*s[16])/1980 - 
       (66809695*s[17])/792 - (39050281*s[18])/3240 - (16127389*s[19])/1620 - 
       (581440249*s[20])/4455 - (835741729*s[21])/17820 + 
       (1262841601*s[22])/35640 + (165458999*s[23])/1980 + 
       (1286199473*s[24])/17820 - (61690295413*s[25])/641520 + 
       (33195119149*s[26])/641520 + (4*s[28])/5 - (16*s[29])/5 + 
       (123*s[30])/5 + (406*s[31])/5 - (111*s[32])/5 + (1561*s[33])/20 - 
       (824*s[34])/5 - (174*s[35])/5 - (1414*s[36])/5 + (7033*s[37])/30 + 
       (13849*s[38])/5 - (52088*s[39])/5 + (57218*s[40])/5 - 
       (89691*s[41])/10 + (29519*s[42])/2 + (500462*s[43])/55 - 
       (521194*s[44])/55 + (6665177*s[45])/660 - (52231007*s[46])/660 + 
       (113090*s[47])/33 + (176347*s[48])/165 - (6866053*s[49])/165 + 
       (665069*s[50])/11 + (3305581*s[51])/330 + (1362293*s[52])/165 - 
       (82884049*s[53])/1980 + (46259*s[54])/330 - (87556519*s[55])/330 - 
       (68831971*s[56])/990 + (228841633*s[57])/2970 - 
       (2226428023*s[58])/17820 + (567333802*s[59])/4455 + 
       (2557453889*s[60])/3960 - (2160263965*s[61])/64152 - (8*s[62])/5 + 
       (4*s[64])/5 - (8*s[65])/5 - (64*s[66])/5 + (96*s[67])/5 - 
       (48*s[68])/5 + (236*s[69])/5 - (52*s[70])/5 - (57*s[71])/5 + 
       44*s[72] - 128*s[73] - 50*s[74] + (258*s[75])/5 - (824*s[76])/5 - 
       (54*s[77])/5 + (892*s[78])/5 + (3804*s[79])/5 - (23*s[80])/15 + 
       (2958*s[82])/5 + (48*s[83])/5 + 288*s[84] + (444*s[85])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      ((874*s[2])/5 - (144*s[3])/5 + (17081*s[4])/4 + (1588377*s[5])/440 + 
       (3599743*s[6])/440 + (98605811*s[7])/1320 - (22477577*s[8])/3960 - 
       (22844383*s[9])/360 - (7194287*s[10])/360 - (54122201*s[11])/660 - 
       (117542627*s[12])/1320 - (70358861*s[13])/1320 - 
       (13554709*s[14])/1320 - (2001707*s[15])/20 - (83455423*s[16])/660 - 
       (43390833*s[17])/440 - (3035143*s[18])/216 - (5873657*s[19])/540 - 
       (88767443*s[20])/594 - (82401257*s[21])/1485 + 
       (467704817*s[22])/11880 + (56219147*s[23])/660 + 
       (481278781*s[24])/5940 - (22096394207*s[25])/213840 + 
       (12383821223*s[26])/213840 + (13*s[30])/5 + (406*s[31])/5 - 
       (137*s[32])/5 + (83*s[33])/4 - 130*s[34] - (174*s[35])/5 - 
       (1414*s[36])/5 + (7033*s[37])/30 + (13849*s[38])/5 - (52088*s[39])/5 + 
       (57218*s[40])/5 - (89691*s[41])/10 + (29519*s[42])/2 + 
       (500462*s[43])/55 - (521194*s[44])/55 + (6665177*s[45])/660 - 
       (52231007*s[46])/660 + (113090*s[47])/33 + (176347*s[48])/165 - 
       (6866053*s[49])/165 + (665069*s[50])/11 + (3305581*s[51])/330 + 
       (1362293*s[52])/165 - (82884049*s[53])/1980 + (46259*s[54])/330 - 
       (87556519*s[55])/330 - (68831971*s[56])/990 + (228841633*s[57])/2970 - 
       (2226428023*s[58])/17820 + (567333802*s[59])/4455 + 
       (2557453889*s[60])/3960 - (2160263965*s[61])/64152 - (8*s[62])/5 + 
       (4*s[64])/5 - (8*s[65])/5 - (64*s[66])/5 + (96*s[67])/5 - 
       (48*s[68])/5 + (236*s[69])/5 - (52*s[70])/5 - (57*s[71])/5 + 
       44*s[72] - 128*s[73] - 50*s[74] + (258*s[75])/5 - (824*s[76])/5 - 
       (54*s[77])/5 + (892*s[78])/5 + (3804*s[79])/5 - (23*s[80])/15 + 
       (2958*s[82])/5 + (48*s[83])/5 + 288*s[84] + (444*s[85])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      ((1161*s[2])/5 - (37*s[3])/2 + (7677*s[4])/2 + (284861*s[5])/88 + 
       (3239829*s[6])/440 + (9087187*s[7])/132 - (57818213*s[8])/11880 - 
       (63058657*s[9])/1080 - (21299009*s[10])/1080 - (59690645*s[11])/792 - 
       (319966061*s[12])/3960 - (9578777*s[13])/198 - (20313197*s[14])/1980 - 
       (6781861*s[15])/72 - (233824913*s[16])/1980 - (187069757*s[17])/1980 - 
       (7571593*s[18])/648 - (1962257*s[19])/162 - (2467035713*s[20])/17820 - 
       (1803475837*s[21])/35640 + (323189717*s[22])/8910 + 
       (138693061*s[23])/1980 + (1385882629*s[24])/17820 - 
       (60820649213*s[25])/641520 + (33720453797*s[26])/641520 + 
       (47*s[30])/5 + (374*s[31])/5 - (199*s[32])/5 + (39*s[33])/4 - 
       (612*s[34])/5 - (156*s[35])/5 - (1374*s[36])/5 + (5323*s[37])/30 + 
       (11991*s[38])/5 - (87641*s[39])/10 + (97597*s[40])/10 - 7845*s[41] + 
       (60234*s[42])/5 + (193943*s[43])/22 - (480136*s[44])/55 + 
       (6749939*s[45])/660 - (50377499*s[46])/660 + (33569*s[47])/22 + 
       (182114*s[48])/55 - (4481861*s[49])/110 + (3292717*s[50])/55 + 
       (864001*s[51])/110 + (675801*s[52])/110 - (82862851*s[53])/1980 - 
       (187421*s[54])/66 - (88016659*s[55])/330 - (6510547*s[56])/99 + 
       (62461136*s[57])/1485 - (1974247819*s[58])/17820 + 
       (103334741*s[59])/891 + (2548093921*s[60])/3960 - 
       (10392033653*s[61])/320760 - 40*s[68] + 80*s[69] + (48*s[70])/5 - 
       (39*s[71])/5 + (48*s[72])/5 - (948*s[73])/5 - (93*s[74])/5 + 
       (93*s[75])/5 - (748*s[76])/5 - (244*s[77])/5 + 136*s[78] + 
       (3268*s[79])/5 - (713*s[80])/15 + (7422*s[82])/5 + (72*s[83])/5 + 
       288*s[84] + (636*s[85])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      (661*s[2] + (773*s[3])/10 + (169953*s[4])/20 + (80935*s[5])/11 + 
       (3713939*s[6])/220 + (605457403*s[7])/3960 - (21284059*s[8])/1980 - 
       (5811983*s[9])/45 - (3981383*s[10])/90 - (44195683*s[11])/264 - 
       (58944533*s[12])/330 - (423561179*s[13])/3960 - 
       (30478643*s[14])/1320 - (15178841*s[15])/72 - (130655539*s[16])/495 - 
       (169248071*s[17])/792 - (694123*s[18])/27 - (15047899*s[19])/540 - 
       (1822024507*s[20])/5940 - (447451063*s[21])/3960 + 
       (190527133*s[22])/2376 + (76489799*s[23])/495 + 
       (515776583*s[24])/2970 - (1248359377*s[25])/5940 + 
       (695929537*s[26])/5940 - 12*s[30] + (968*s[31])/5 - (562*s[32])/5 + 
       (371*s[33])/10 - (1592*s[34])/5 + (88*s[35])/5 - (8398*s[36])/15 + 
       (3926*s[37])/15 + (25994*s[38])/5 - (38983*s[39])/2 + 
       (649397*s[40])/30 - (173969*s[41])/10 + (802447*s[42])/30 + 
       (6668551*s[43])/330 - (12905573*s[44])/660 + (746068*s[45])/33 - 
       (56026193*s[46])/330 + (1191491*s[47])/396 + (15839701*s[48])/1980 - 
       (184367221*s[49])/1980 + (21955988*s[50])/165 + 
       (33240617*s[51])/1980 + (25804391*s[52])/1980 - (9300391*s[53])/99 - 
       (1275964*s[54])/165 - (78600211*s[55])/132 - (6349659*s[56])/44 + 
       (43024789*s[57])/495 - (1445322607*s[58])/5940 + 
       (1531989793*s[59])/5940 + (17008236871*s[60])/11880 - 
       (426660197*s[61])/5940 - 136*s[68] + 264*s[69] + (48*s[70])/5 - 
       (96*s[71])/5 + (96*s[72])/5 - 572*s[73] - (28*s[74])/5 + 4*s[75] - 
       (1976*s[76])/5 - (968*s[77])/5 + (2308*s[78])/5 + 1104*s[79] - 
       (2168*s[80])/15 + (16144*s[82])/5 + (24*s[83])/5 + (1152*s[84])/5 + 
       (1536*s[85])/5)*\[Zeta][2]^2 + HPL[{0, 1, 1}, 1 - v]*
      (567*s[2] + (1373*s[3])/10 + (71077*s[4])/20 + (34902*s[5])/11 + 
       (1757979*s[6])/220 + (30252231*s[7])/440 - (21840241*s[8])/5940 - 
       (7794554*s[9])/135 - (6083387*s[10])/270 - (299149321*s[11])/3960 - 
       (77719751*s[12])/990 - (187978207*s[13])/3960 - (10062905*s[14])/792 - 
       (7053325*s[15])/72 - (60529382*s[16])/495 - (409702111*s[17])/3960 - 
       (3792874*s[18])/405 - (26731769*s[19])/1620 - (2485092737*s[20])/
        17820 - (1808151643*s[21])/35640 + (1283364767*s[22])/35640 + 
       (25882894*s[23])/495 + (150581689*s[24])/1782 - 
       (15062255657*s[25])/160380 + (8342883449*s[26])/160380 - 
       (172*s[30])/5 + 112*s[31] - (548*s[32])/5 + (371*s[33])/10 - 
       (1132*s[34])/5 + 66*s[35] - (782*s[36])/3 + (322*s[37])/5 + 
       (9802*s[38])/5 - (30323*s[39])/5 + (108331*s[40])/15 - 5932*s[41] + 
       (103247*s[42])/15 + (1759271*s[43])/165 - (5478533*s[44])/660 + 
       (731463*s[45])/55 - (14020598*s[46])/165 - (7036811*s[47])/1980 + 
       (4209317*s[48])/396 - (92909407*s[49])/1980 + (11246636*s[50])/165 + 
       (1110469*s[51])/396 + (4040513*s[52])/1980 - (49039127*s[53])/990 - 
       (1630226*s[54])/165 - (212239223*s[55])/660 - (143062429*s[56])/1980 - 
       (90891049*s[57])/2970 - (360532735*s[58])/3564 + 
       (2039478227*s[59])/17820 + (9047870749*s[60])/11880 - 
       (2962511239*s[61])/80190 + (16*s[62])/5 - (8*s[64])/5 + (44*s[65])/5 + 
       64*s[66] - 96*s[67] - (948*s[68])/5 + (848*s[69])/5 + (156*s[70])/5 - 
       (56*s[71])/5 - 132*s[72] - (2492*s[73])/5 + (657*s[74])/5 - 
       (693*s[75])/5 - (1292*s[76])/5 - (1046*s[77])/5 + (1144*s[78])/5 + 
       (1304*s[79])/5 - (952*s[80])/5 + (23984*s[82])/5 + 24*s[83] + 
       (1552*s[85])/5)*\[Zeta][2]^2 + HPL[{0, 1, 1}, 1 - w]*
      ((3447*s[2])/5 - (3771*s[3])/10 + (41499*s[4])/20 + (326701*s[5])/55 + 
       (2237681*s[6])/220 + (342972803*s[7])/3960 - (444443*s[8])/132 - 
       (2242619*s[9])/30 - (941813*s[10])/30 - (121655507*s[11])/1320 - 
       (4996404*s[12])/55 - (211723939*s[13])/3960 - (35347079*s[14])/1320 - 
       (46097753*s[15])/360 - (153669817*s[16])/990 - 
       (560690723*s[17])/3960 - (3800311*s[18])/270 - (10135579*s[19])/540 - 
       (1103651707*s[20])/5940 - (874683433*s[21])/11880 + 
       (179865023*s[22])/3960 + (23425729*s[23])/495 + (21006959*s[24])/198 - 
       (2890137517*s[25])/26730 + (357648629*s[26])/5346 - (8*s[28])/5 + 
       (288*s[29])/5 - 102*s[30] + (708*s[31])/5 - (658*s[32])/5 - 
       (909*s[33])/5 - (786*s[34])/5 + 66*s[35] - (782*s[36])/3 + 
       (322*s[37])/5 + (9802*s[38])/5 - (30323*s[39])/5 + (108331*s[40])/15 - 
       5932*s[41] + (103247*s[42])/15 + (1759271*s[43])/165 - 
       (5478533*s[44])/660 + (731463*s[45])/55 - (14020598*s[46])/165 - 
       (7036811*s[47])/1980 + (4209317*s[48])/396 - (92909407*s[49])/1980 + 
       (11246636*s[50])/165 + (1110469*s[51])/396 + (4040513*s[52])/1980 - 
       (49039127*s[53])/990 - (1630226*s[54])/165 - (212239223*s[55])/660 - 
       (143062429*s[56])/1980 - (90891049*s[57])/2970 - 
       (360532735*s[58])/3564 + (2039478227*s[59])/17820 + 
       (9047870749*s[60])/11880 - (2962511239*s[61])/80190 + (16*s[62])/5 - 
       (8*s[64])/5 + (44*s[65])/5 + 64*s[66] - 96*s[67] - (948*s[68])/5 + 
       (848*s[69])/5 + (156*s[70])/5 - (56*s[71])/5 - 132*s[72] - 
       (2492*s[73])/5 + (657*s[74])/5 - (693*s[75])/5 - (1292*s[76])/5 - 
       (1046*s[77])/5 + (1144*s[78])/5 + (1304*s[79])/5 - (952*s[80])/5 + 
       (23984*s[82])/5 + 24*s[83] + (1552*s[85])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*((3547*s[2])/10 + (3797*s[3])/20 + 
       (38873*s[4])/8 + (47101*s[5])/11 + (4450683*s[6])/440 + 
       (702515107*s[7])/7920 - (72707953*s[8])/11880 - (4048381*s[9])/54 - 
       (2740831*s[10])/108 - (154133537*s[11])/1584 - 
       (206112113*s[12])/1980 - (55109627*s[13])/880 - 
       (110394289*s[14])/7920 - (29094167*s[15])/240 - (50342729*s[16])/330 - 
       (971817659*s[17])/7920 - (6191072*s[18])/405 - (50318633*s[19])/3240 - 
       (6358072733*s[20])/35640 - (4686276751*s[21])/71280 + 
       (3317741939*s[22])/71280 + (9879151*s[23])/110 + 
       (1789883783*s[24])/17820 - (7835903743*s[25])/64152 + 
       (21881825579*s[26])/320760 - 18*s[30] + (524*s[31])/5 - 
       (276*s[32])/5 + (909*s[33])/20 - (908*s[34])/5 + (57*s[35])/5 - 
       (4003*s[36])/15 + (7163*s[37])/30 + (13886*s[38])/5 - 10076*s[39] + 
       (33707*s[40])/3 - (43883*s[41])/5 + (412933*s[42])/30 + 
       (1723544*s[43])/165 - (13091389*s[44])/1320 + (1685297*s[45])/132 - 
       (20034869*s[46])/220 + (7141217*s[47])/3960 + (15850577*s[48])/3960 - 
       (184937771*s[49])/3960 + (11566364*s[50])/165 + 
       (35054461*s[51])/3960 + (29000101*s[52])/3960 - (32756351*s[53])/660 - 
       (101174*s[54])/55 - (419503063*s[55])/1320 - (64041641*s[56])/792 + 
       (307852301*s[57])/5940 - (4767727421*s[58])/35640 + 
       (4952794943*s[59])/35640 + (3618533275*s[60])/4752 - 
       (12841211663*s[61])/320760 - (2*s[64])/5 + (2*s[65])/5 + 
       (32*s[66])/5 - (48*s[67])/5 - (238*s[68])/5 + 74*s[69] + 
       (26*s[70])/5 - (56*s[71])/5 - (2*s[72])/5 - 186*s[73] + 
       (49*s[74])/10 - (69*s[75])/10 - 178*s[76] - (301*s[77])/5 + 
       (918*s[78])/5 + (2892*s[79])/5 - (199*s[80])/15 + (12412*s[82])/5 + 
       (24*s[83])/5 + (1152*s[84])/5 + (1832*s[85])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*((2323*s[2])/10 + (1069*s[3])/20 + 
       (147579*s[4])/40 + (906083*s[5])/220 + (3820779*s[6])/440 + 
       (200698013*s[7])/2640 - (20977667*s[8])/3960 - (2917049*s[9])/45 - 
       (385657*s[10])/18 - (43769923*s[11])/528 - (58437877*s[12])/660 - 
       (46461691*s[13])/880 - (35969591*s[14])/2640 - (24773867*s[15])/240 - 
       (2853941*s[16])/22 - (275714809*s[17])/2640 - (779905*s[18])/54 - 
       (12245287*s[19])/1080 - (1838713111*s[20])/11880 - 
       (1391534933*s[21])/23760 + (949882837*s[22])/23760 + 
       (3477171*s[23])/44 + (248571467*s[24])/2970 - (2200169465*s[25])/
        21384 + (6323331721*s[26])/106920 + (32*s[29])/5 - 11*s[30] + 
       (382*s[31])/5 - (178*s[32])/5 - (102*s[33])/5 - (587*s[34])/5 + 
       (57*s[35])/5 - (4003*s[36])/15 + (7163*s[37])/30 + (13886*s[38])/5 - 
       10076*s[39] + (33707*s[40])/3 - (43883*s[41])/5 + (412933*s[42])/30 + 
       (1723544*s[43])/165 - (13091389*s[44])/1320 + (1685297*s[45])/132 - 
       (20034869*s[46])/220 + (7141217*s[47])/3960 + (15850577*s[48])/3960 - 
       (184937771*s[49])/3960 + (11566364*s[50])/165 + 
       (35054461*s[51])/3960 + (29000101*s[52])/3960 - (32756351*s[53])/660 - 
       (101174*s[54])/55 - (419503063*s[55])/1320 - (64041641*s[56])/792 + 
       (307852301*s[57])/5940 - (4767727421*s[58])/35640 + 
       (4952794943*s[59])/35640 + (3618533275*s[60])/4752 - 
       (12841211663*s[61])/320760 - (2*s[64])/5 + (2*s[65])/5 + 
       (32*s[66])/5 - (48*s[67])/5 - (238*s[68])/5 + 74*s[69] + 
       (26*s[70])/5 - (56*s[71])/5 - (2*s[72])/5 - 186*s[73] + 
       (49*s[74])/10 - (69*s[75])/10 - 178*s[76] - (301*s[77])/5 + 
       (918*s[78])/5 + (2892*s[79])/5 - (199*s[80])/15 + (12412*s[82])/5 + 
       (24*s[83])/5 + (1152*s[84])/5 + (1832*s[85])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*(346*s[2] + (1052*s[3])/5 + 
       (53997*s[4])/10 + (283968*s[5])/55 + (1489079*s[6])/110 + 
       (50858932*s[7])/495 - (22061087*s[8])/2970 - (23426581*s[9])/270 - 
       (3715756*s[10])/135 - (111425707*s[11])/990 - (120463799*s[12])/990 - 
       (36187384*s[13])/495 - (3812543*s[14])/198 - (12219421*s[15])/90 - 
       (171690047*s[16])/990 - (22692454*s[17])/165 - (17019287*s[18])/810 - 
       (5215814*s[19])/405 - (184283983*s[20])/891 - (139939973*s[21])/1782 + 
       (476882669*s[22])/8910 + (57231341*s[23])/495 + 
       (488638456*s[24])/4455 - (22458803267*s[25])/160380 + 
       (2593249231*s[26])/32076 + (42*s[30])/5 + (644*s[31])/5 - 
       (164*s[32])/5 - (437*s[33])/10 - 114*s[34] + (372*s[35])/5 - 
       (596*s[36])/15 + (3037*s[37])/15 + (16698*s[38])/5 - (65476*s[39])/5 + 
       (224492*s[40])/15 - (57763*s[41])/5 + (275173*s[42])/15 + 
       (2206432*s[43])/165 - (4210379*s[44])/330 + (5325923*s[45])/330 - 
       (38772037*s[46])/330 + (613559*s[47])/198 + (5271007*s[48])/990 - 
       (11254301*s[49])/198 + (14403856*s[50])/165 + (2414977*s[51])/198 + 
       (10495619*s[52])/990 - (61437887*s[53])/990 + (929287*s[54])/165 - 
       (43707033*s[55])/110 - (2451385*s[56])/22 + (44219612*s[57])/495 - 
       (266726327*s[58])/1485 + (538497103*s[59])/2970 + 
       (1419372847*s[60])/1485 - (975826879*s[61])/17820 - (224*s[68])/5 + 
       (464*s[69])/5 + (48*s[70])/5 - (154*s[71])/5 + (96*s[72])/5 - 
       288*s[73] + 12*s[74] - 12*s[75] - (1288*s[76])/5 - (492*s[77])/5 + 
       292*s[78] + (5912*s[79])/5 - (8746*s[80])/15 + (5196*s[82])/5 + 
       (12*s[83])/5 + (1008*s[84])/5 + 616*s[85])*\[Zeta][2]^2 + 
     HPL[{0, 1, 1}, 1 - u]*(1114*s[2] + 226*s[3] + 10276*s[4] + 
       (1134561*s[5])/110 + (2616233*s[6])/110 + (99692807*s[7])/495 - 
       (40263677*s[8])/2970 - (45830029*s[9])/270 - (16069433*s[10])/270 - 
       (218252689*s[11])/990 - (231302237*s[12])/990 - (7707108*s[13])/55 - 
       (3473461*s[14])/99 - (1665895*s[15])/6 - (57583313*s[16])/165 - 
       (141882673*s[17])/495 - (27914663*s[18])/810 - (14859398*s[19])/405 - 
       (1808957429*s[20])/4455 - (270633677*s[21])/1782 + 
       (93743714*s[22])/891 + (10697634*s[23])/55 + (205101779*s[24])/891 - 
       (44009333909*s[25])/160380 + (24917750837*s[26])/160380 - 76*s[30] + 
       264*s[31] - 202*s[32] - (219*s[33])/5 - (2216*s[34])/5 - 
       (10888*s[36])/15 + (6034*s[37])/15 + (32124*s[38])/5 - 
       (120122*s[39])/5 + (403246*s[40])/15 - 21192*s[41] + (97000*s[42])/3 + 
       (892426*s[43])/33 - (825856*s[44])/33 + (5047963*s[45])/165 - 
       (12274249*s[46])/55 + (199250*s[47])/99 + (6713368*s[48])/495 - 
       (60129394*s[49])/495 + (28571624*s[50])/165 + (9535622*s[51])/495 + 
       (7698254*s[52])/495 - (20401829*s[53])/165 - (498106*s[54])/55 - 
       (129453922*s[55])/165 - (95449676*s[56])/495 + 
       (139084754*s[57])/1485 - (280580747*s[58])/891 + 
       (1489692544*s[59])/4455 + (5600697499*s[60])/2970 - 
       (7746392837*s[61])/80190 - 224*s[68] + 448*s[69] + 32*s[70] - 
       (76*s[71])/5 - 32*s[72] - 960*s[73] + (388*s[74])/5 - 84*s[75] - 
       544*s[76] - 344*s[77] + 752*s[78] + (4944*s[79])/5 - (6052*s[80])/15 + 
       (34936*s[82])/5 + 24*s[83] + 640*s[85])*\[Zeta][2]^2 + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*(75*s[2] + (2723*s[3])/10 + 
       (10105*s[4])/4 + (145133*s[5])/55 + (1988343*s[6])/220 + 
       (204709541*s[7])/3960 - (4363357*s[8])/1188 - (2338255*s[9])/54 - 
       (3325027*s[10])/270 - (225795959*s[11])/3960 - (6216043*s[12])/99 - 
       (17026349*s[13])/440 - (51196019*s[14])/3960 - (503259*s[15])/8 - 
       (27771497*s[16])/330 - (256197613*s[17])/3960 - (10510693*s[18])/810 - 
       (4244239*s[19])/1620 - (1849414819*s[20])/17820 - 
       (1464096797*s[21])/35640 + (944844697*s[22])/35640 + 
       (3471362*s[23])/55 + (458057011*s[24])/8910 - (5625839507*s[25])/
        80190 + (3403646159*s[26])/80190 - (4*s[28])/5 + (64*s[29])/5 - 
       30*s[30] + (132*s[31])/5 + (84*s[32])/5 - (712*s[33])/5 + 
       (458*s[34])/5 + (474*s[35])/5 + (1338*s[36])/5 - (156*s[37])/5 + 
       (8244*s[38])/5 - (34252*s[39])/5 + (40974*s[40])/5 - (30824*s[41])/5 + 
       (49807*s[42])/5 + (367024*s[43])/55 - (1400967*s[44])/220 + 
       (478041*s[45])/55 - (3414307*s[46])/55 + (319445*s[47])/132 + 
       (1794697*s[48])/660 - (16578043*s[49])/660 + (2377602*s[50])/55 + 
       (4903757*s[51])/660 + (4633991*s[52])/660 - (2016979*s[53])/66 + 
       (118721*s[54])/11 - (130698553*s[55])/660 - (43521433*s[56])/660 + 
       (68962277*s[57])/990 - (122342203*s[58])/1188 + 
       (579776531*s[59])/5940 + (380858189*s[60])/792 - 
       (430671914*s[61])/13365 - (8*s[62])/5 - (4*s[64])/5 - (4*s[65])/5 + 
       (12*s[68])/5 - 24*s[69] - (12*s[70])/5 - 40*s[71] + (84*s[72])/5 - 
       (44*s[73])/5 + (39*s[74])/5 - (39*s[75])/5 - (284*s[76])/5 - 
       (22*s[77])/5 + (368*s[78])/5 + (4848*s[79])/5 - (3032*s[80])/5 - 
       (8*s[82])/5 - (12*s[83])/5 + (1296*s[84])/5 + (3304*s[85])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((3768*s[2])/5 + 536*s[3] + (95869*s[4])/10 + (208773*s[5])/22 + 
       (1294242*s[6])/55 + (6124082*s[7])/33 - (3810691*s[8])/297 - 
       (21152527*s[9])/135 - (14040949*s[10])/270 - (200820731*s[11])/990 - 
       (107345558*s[12])/495 - (128875049*s[13])/990 - (17074198*s[14])/495 - 
       (11286266*s[15])/45 - (157044358*s[16])/495 - (254116943*s[17])/990 - 
       (14429441*s[18])/405 - (11137486*s[19])/405 - (1669450021*s[20])/
        4455 - (253040767*s[21])/1782 + (430734878*s[22])/4455 + 
       (193894531*s[23])/990 + (1811809939*s[24])/8910 - 
       (2021216888*s[25])/8019 + (5819385061*s[26])/40095 - (46*s[30])/5 + 
       (1204*s[31])/5 - (554*s[32])/5 - (79*s[33])/2 - (1626*s[34])/5 + 
       (808*s[35])/5 - (4819*s[36])/15 + (6221*s[37])/15 + (28527*s[38])/5 - 
       (83815*s[39])/4 + (1425781*s[40])/60 - (366613*s[41])/20 + 
       (342079*s[42])/12 + (15168503*s[43])/660 - (27590473*s[44])/1320 + 
       (4816271*s[45])/165 - (133112821*s[46])/660 + (12831287*s[47])/3960 + 
       (42715757*s[48])/3960 - (388752077*s[49])/3960 + 
       (24986642*s[50])/165 + (14411429*s[51])/792 + (63467563*s[52])/3960 - 
       (53814161*s[53])/495 + (460133*s[54])/165 - (184824491*s[55])/264 - 
       (249164837*s[56])/1320 + (114679729*s[57])/990 - 
       (394230559*s[58])/1320 + (1214868731*s[59])/3960 + 
       (39564708599*s[60])/23760 - (1997875925*s[61])/21384 - (4*s[64])/5 + 
       (8*s[65])/5 + (64*s[66])/5 - (96*s[67])/5 - (636*s[68])/5 + 
       (1064*s[69])/5 + (64*s[70])/5 - (274*s[71])/5 - (88*s[72])/5 - 
       586*s[73] + (322*s[74])/5 - (342*s[75])/5 - (2572*s[76])/5 - 
       196*s[77] + 578*s[78] + 1332*s[79] - (6248*s[80])/15 + 
       (21732*s[82])/5 + 12*s[83] + (1008*s[84])/5 + (4568*s[85])/5)*
      \[Zeta][2]^2 + HPL[{0, 0, 1}, 1 - u]*(811*s[2] - (321*s[3])/2 + 
       7019*s[4] + (602105*s[5])/88 + (5966957*s[6])/440 + 
       (266876539*s[7])/1980 - (7102955*s[8])/792 - (41123483*s[9])/360 - 
       (14831599*s[10])/360 - (38953655*s[11])/264 - (205145431*s[12])/1320 - 
       (18401951*s[13])/198 - (13014269*s[14])/660 - (13707433*s[15])/72 - 
       (467622629*s[16])/1980 - (386227657*s[17])/1980 - 
       (21611759*s[18])/1080 - (7796587*s[19])/270 - (1612475651*s[20])/
        5940 - (394460917*s[21])/3960 + (105535352*s[22])/1485 + 
       (242537827*s[23])/1980 + (942526481*s[24])/5940 - 
       (13170087877*s[25])/71280 + (1456060121*s[26])/14256 + (16*s[28])/5 - 
       (24*s[29])/5 - (91*s[30])/5 + 226*s[31] - (843*s[32])/5 + 
       (321*s[33])/4 - 454*s[34] - 88*s[35] - (13202*s[36])/15 + 
       (13799*s[37])/30 + (22879*s[38])/5 - (166123*s[39])/10 + 
       (545437*s[40])/30 - 14590*s[41] + (331171*s[42])/15 + 
       (1226887*s[43])/66 - (2878972*s[44])/165 + (2662907*s[45])/132 - 
       (98912963*s[46])/660 + (811183*s[47])/990 + (849256*s[48])/99 - 
       (87038971*s[49])/990 + (3961553*s[50])/33 + (2457397*s[51])/198 + 
       (9172607*s[52])/990 - (169022071*s[53])/1980 - (1035233*s[54])/66 - 
       (177838351*s[55])/330 - (6584742*s[56])/55 + (20748821*s[57])/495 - 
       (1208010521*s[58])/5940 + (331777667*s[59])/1485 + 
       (15387977219*s[60])/11880 - (2138116429*s[61])/35640 + (8*s[62])/5 + 
       16*s[63] - (48*s[66])/5 + (48*s[67])/5 - (632*s[68])/5 + 
       (1944*s[69])/5 + 24*s[70] + (93*s[71])/5 - 24*s[72] - (3636*s[73])/5 + 
       (141*s[74])/5 - 33*s[75] - (2196*s[76])/5 - (1136*s[77])/5 + 
       (2736*s[78])/5 + (1716*s[79])/5 + (3227*s[80])/15 + (27262*s[82])/5 + 
       (84*s[83])/5 + (216*s[84])/5 - (772*s[85])/5 + (48*s[86])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - u]*((-1224*s[2])/5 - 324*s[3] - 
       (11394*s[4])/5 - (130794*s[5])/55 - (397128*s[6])/55 - 
       (2595437*s[7])/55 + (300880*s[8])/99 + (354974*s[9])/9 + 
       (596162*s[10])/45 + (8484523*s[11])/165 + (9035714*s[12])/165 + 
       (5455171*s[13])/165 + (1881109*s[14])/165 + (941579*s[15])/15 + 
       (13265944*s[16])/165 + (10900591*s[17])/165 + (271066*s[18])/27 + 
       (784534*s[19])/135 + (142820242*s[20])/1485 + (55425649*s[21])/1485 - 
       (7181755*s[22])/297 - (8096744*s[23])/165 - (75574712*s[24])/1485 + 
       (842301433*s[25])/13365 - (503515081*s[26])/13365 + (48*s[30])/5 - 
       (336*s[31])/5 + (168*s[32])/5 + (216*s[33])/5 + (144*s[34])/5 - 
       (576*s[35])/5 - (432*s[36])/5 + (488*s[37])/5 - (6192*s[38])/5 + 
       (25116*s[39])/5 - (29964*s[40])/5 + (23364*s[41])/5 - 
       (34836*s[42])/5 - (328836*s[43])/55 + (290082*s[44])/55 - 
       (413476*s[45])/55 + (2855176*s[46])/55 - (31226*s[47])/55 - 
       (207446*s[48])/55 + (1317758*s[49])/55 - (416760*s[50])/11 - 
       (252878*s[51])/55 - (231562*s[52])/55 + (4528196*s[53])/165 - 
       (211232*s[54])/55 + (1948422*s[55])/11 + (8463238*s[56])/165 - 
       (14922496*s[57])/495 + (114350942*s[58])/1485 - (23055430*s[59])/297 - 
       (69501071*s[60])/165 + (343252292*s[61])/13365 + (192*s[68])/5 - 
       (384*s[69])/5 + (144*s[71])/5 + (864*s[73])/5 - (144*s[74])/5 + 
       (144*s[75])/5 + (672*s[76])/5 + (384*s[77])/5 - (864*s[78])/5 - 
       (2112*s[79])/5 + (1456*s[80])/5 - 480*s[82] - 384*s[85])*
      \[Zeta][2]^3 + HPL[{1}, 1 - w]*((-8312*s[2])/35 - (1782*s[3])/5 - 
       (23777*s[4])/7 - (1268716*s[5])/385 - (3589253*s[6])/385 - 
       (13101361*s[7])/198 + (144633133*s[8])/31185 + (157273358*s[9])/2835 + 
       (51377728*s[10])/2835 + (301688903*s[11])/4158 + 
       (812656741*s[12])/10395 + (196451315*s[13])/4158 + 
       (283396837*s[14])/20790 + (165480611*s[15])/1890 + 
       (1166078957*s[16])/10395 + (1870358761*s[17])/20790 + 
       (113890468*s[18])/8505 + (75356297*s[19])/8505 + 
       (12504444539*s[20])/93555 + (9566040679*s[21])/187110 - 
       (6390534119*s[22])/187110 - (734060884*s[23])/10395 - 
       (6751149376*s[24])/93555 + (15152911267*s[25])/168399 - 
       (44284496897*s[26])/841995 - (64*s[27])/35 + (176*s[29])/35 + 
       (48*s[30])/5 - (1256*s[31])/35 + (168*s[32])/5 + (4188*s[33])/35 - 
       40*s[34] - (3736*s[35])/35 - (1892*s[36])/105 + (664*s[37])/315 - 
       (220208*s[38])/105 + (281871*s[39])/35 - (140383*s[40])/15 + 
       (755849*s[41])/105 - (1172641*s[42])/105 - (3375033*s[43])/385 + 
       (1245823*s[44])/154 - (35136866*s[45])/3465 + (254216909*s[46])/3465 - 
       (10431521*s[47])/6930 - (29841527*s[48])/6930 + 
       (251601683*s[49])/6930 - (12485416*s[50])/231 - 
       (51361391*s[51])/6930 - (1310681*s[52])/198 + (398887441*s[53])/
        10395 - (14600764*s[54])/3465 + (1708555679*s[55])/6930 + 
       (1440965899*s[56])/20790 - (1674581402*s[57])/31185 + 
       (20890012553*s[58])/187110 - (3017834753*s[59])/26730 - 
       (4978568957*s[60])/8316 + (58138236263*s[61])/1683990 + (16*s[62])/5 - 
       (64*s[64])/35 - (64*s[66])/7 + (1256*s[68])/35 - (1952*s[69])/35 - 
       (976*s[70])/105 + (144*s[71])/5 + (864*s[73])/5 - (144*s[74])/5 + 
       (144*s[75])/5 + (3616*s[76])/35 + (8912*s[77])/105 - (5144*s[78])/35 - 
       (65168*s[79])/105 + (124808*s[80])/315 - (2*s[81])/35 - 480*s[82] - 
       384*s[85])*\[Zeta][2]^3 + HPL[{1}, 1 - v]*((-1224*s[2])/5 - 
       (1600*s[3])/3 - (77746*s[4])/21 - (721870*s[5])/231 - 
       (10808348*s[6])/1155 - (32896801*s[7])/495 + (146390968*s[8])/31185 + 
       (156983054*s[9])/2835 + (50830978*s[10])/2835 + (21732115*s[11])/297 + 
       (823741834*s[12])/10395 + (71568107*s[13])/1485 + 
       (127940411*s[14])/10395 + (82700629*s[15])/945 + 
       (1169068928*s[16])/10395 + (927616073*s[17])/10395 + 
       (113240686*s[18])/8505 + (11110442*s[19])/1215 + 
       (12436998026*s[20])/93555 + (4703816339*s[21])/93555 - 
       (457401619*s[22])/13365 - (153128672*s[23])/2079 - 
       (1355280560*s[24])/18711 + (77052591443*s[25])/841995 - 
       (8864042899*s[26])/168399 - (648*s[30])/35 - (336*s[31])/5 + 
       (184*s[32])/7 + (216*s[33])/5 + (144*s[34])/5 - (3736*s[35])/35 - 
       (1892*s[36])/105 + (664*s[37])/315 - (220208*s[38])/105 + 
       (281871*s[39])/35 - (140383*s[40])/15 + (755849*s[41])/105 - 
       (1172641*s[42])/105 - (3375033*s[43])/385 + (1245823*s[44])/154 - 
       (35136866*s[45])/3465 + (254216909*s[46])/3465 - 
       (10431521*s[47])/6930 - (29841527*s[48])/6930 + 
       (251601683*s[49])/6930 - (12485416*s[50])/231 - 
       (51361391*s[51])/6930 - (1310681*s[52])/198 + (398887441*s[53])/
        10395 - (14600764*s[54])/3465 + (1708555679*s[55])/6930 + 
       (1440965899*s[56])/20790 - (1674581402*s[57])/31185 + 
       (20890012553*s[58])/187110 - (3017834753*s[59])/26730 - 
       (4978568957*s[60])/8316 + (58138236263*s[61])/1683990 + (16*s[62])/5 - 
       (64*s[64])/35 - (64*s[66])/7 + (1256*s[68])/35 - (1952*s[69])/35 - 
       (976*s[70])/105 + (144*s[71])/5 + (864*s[73])/5 - (144*s[74])/5 + 
       (144*s[75])/5 + (3616*s[76])/35 + (8912*s[77])/105 - (5144*s[78])/35 - 
       (65168*s[79])/105 + (124808*s[80])/315 - (2*s[81])/35 - 480*s[82] - 
       384*s[85])*\[Zeta][2]^3 + Omega2[u, v, w]*(-6*s[2] - 56*s[3] - 
       (171*s[4])/4 - (2171*s[5])/11 - (14159*s[6])/44 - (1117781*s[7])/396 + 
       (82705*s[8])/1188 + (262757*s[9])/108 + (32107*s[10])/27 + 
       (572161*s[11])/198 + (1074013*s[12])/396 + (192341*s[13])/132 + 
       (259693*s[14])/198 + 4475*s[15] + (698551*s[16])/132 + 
       (2023855*s[17])/396 + (194653*s[18])/324 + (44681*s[19])/81 + 
       (12039997*s[20])/1782 + (2418032*s[21])/891 - (1301380*s[22])/891 - 
       (70271*s[23])/66 - (3118567*s[24])/891 + (205036591*s[25])/64152 - 
       (141922831*s[26])/64152 - 2*s[29] + 3*s[30] - s[32] + (9*s[33])/4 - 
       3*s[34])*\[Zeta][3] + Omega2[w, u, v]*(6*s[2] + 56*s[3] + 
       (171*s[4])/4 + (2171*s[5])/11 + (14159*s[6])/44 + (1117781*s[7])/396 - 
       (82705*s[8])/1188 - (262757*s[9])/108 - (32107*s[10])/27 - 
       (572161*s[11])/198 - (1074013*s[12])/396 - (192341*s[13])/132 - 
       (259693*s[14])/198 - 4475*s[15] - (698551*s[16])/132 - 
       (2023855*s[17])/396 - (194653*s[18])/324 - (44681*s[19])/81 - 
       (12039997*s[20])/1782 - (2418032*s[21])/891 + (1301380*s[22])/891 + 
       (70271*s[23])/66 + (3118567*s[24])/891 - (205036591*s[25])/64152 + 
       (141922831*s[26])/64152 + 2*s[29] - 3*s[30] + s[32] - (9*s[33])/4 + 
       3*s[34])*\[Zeta][3] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      ((-3*s[2])/2 - 14*s[3] + (113*s[4])/16 - (16913*s[5])/264 - 
       (6775*s[6])/132 - (119051*s[7])/176 + (16417*s[8])/2376 + 
       (32147*s[9])/54 + (72463*s[10])/216 + (2085959*s[11])/3168 + 
       (1734835*s[12])/3168 + (213647*s[13])/792 + (37054*s[14])/99 + 
       (85627*s[15])/72 + (2109973*s[16])/1584 + (4515059*s[17])/3168 + 
       (80077*s[18])/648 + (241981*s[19])/1296 + (24419539*s[20])/14256 + 
       (9856969*s[21])/14256 - (4964171*s[22])/14256 + (49337*s[23])/3168 - 
       (25816111*s[24])/28512 + (22161061*s[25])/32076 - 
       (65207767*s[26])/128304 - s[29]/2 + (3*s[30])/4 - s[32]/4 + 
       (21*s[33])/16 - (7*s[34])/4 - s[35] + (17*s[36])/6 - (173*s[37])/12 + 
       (37*s[38])/6 - (695*s[39])/24 + (281*s[40])/8 - (217*s[41])/8 + 
       (377*s[42])/8 + (2693*s[43])/264 - (7709*s[44])/528 - 
       (1077*s[45])/88 - (7219*s[46])/132 + (2053*s[47])/132 + 
       (353*s[48])/88 - (1345*s[49])/88 - (1291*s[50])/264 + 
       (1553*s[51])/44 + (25925*s[52])/528 + (3446*s[53])/99 + 
       (1436*s[54])/11 + (58073*s[55])/264 - (122317*s[56])/792 + 
       (498073*s[57])/594 - (586151*s[58])/1782 + (1508387*s[59])/7128 + 
       (1757*s[60])/99 - (1218559*s[61])/32076 + 8*s[79] - (9*s[80])/2 - 
       23*s[82])*\[Zeta][3] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      ((3*s[2])/2 + (37*s[3])/4 + (321*s[4])/16 + (5807*s[5])/132 + 
       (29147*s[6])/264 + (399313*s[7])/528 - (64979*s[8])/2376 - 
       (138883*s[9])/216 - (59891*s[10])/216 - (2534053*s[11])/3168 - 
       (2551625*s[12])/3168 - (185285*s[13])/396 - (128615*s[14])/396 - 
       (37951*s[15])/36 - (2146475*s[16])/1584 - (3783289*s[17])/3168 - 
       (124619*s[18])/648 - (101927*s[19])/1296 - (24539489*s[20])/14256 - 
       (10031699*s[21])/14256 + (5625751*s[22])/14256 + 
       (1713401*s[23])/3168 + (24264749*s[24])/28512 - 
       (14453221*s[25])/16038 + (78107477*s[26])/128304 + s[29]/2 - 
       (7*s[30])/4 + s[32]/4 - (9*s[33])/16 + (3*s[34])/4 - s[35] + 
       (17*s[36])/6 - (173*s[37])/12 + (37*s[38])/6 - (695*s[39])/24 + 
       (281*s[40])/8 - (217*s[41])/8 + (377*s[42])/8 + (2693*s[43])/264 - 
       (7709*s[44])/528 - (1077*s[45])/88 - (7219*s[46])/132 + 
       (2053*s[47])/132 + (353*s[48])/88 - (1345*s[49])/88 - 
       (1291*s[50])/264 + (1553*s[51])/44 + (25925*s[52])/528 + 
       (3446*s[53])/99 + (1436*s[54])/11 + (58073*s[55])/264 - 
       (122317*s[56])/792 + (498073*s[57])/594 - (586151*s[58])/1782 + 
       (1508387*s[59])/7128 + (1757*s[60])/99 - (1218559*s[61])/32076 + 
       8*s[79] - (9*s[80])/2 - 23*s[82])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*(14*s[2] + (371*s[3])/2 - 
       (37*s[4])/2 + (55*s[5])/4 + (865*s[6])/4 - (8105*s[7])/24 + 
       (9269*s[8])/36 + (6907*s[9])/18 - (11915*s[10])/36 + 
       (16877*s[11])/24 + (9043*s[12])/6 + (7001*s[13])/8 - 
       (25189*s[14])/24 - (6633*s[15])/8 - (679*s[16])/2 - (47105*s[17])/24 + 
       (712*s[18])/27 - (8299*s[19])/108 - (35327*s[20])/108 - 
       (99949*s[21])/216 - (60241*s[22])/216 - (7825*s[23])/4 - 
       (5207*s[24])/108 + (1265503*s[25])/972 - (194179*s[26])/972 + 
       18*s[29] - 7*s[30] + 12*s[31] + 7*s[32] + (17*s[33])/4 - 11*s[34] + 
       2*s[35] - 8*s[36] - (49*s[37])/3 - 252*s[38] + 683*s[39] - 701*s[40] + 
       510*s[41] - 855*s[42] - (6873*s[43])/11 + (12769*s[44])/22 - 
       (23230*s[45])/33 + (164215*s[46])/33 - (13669*s[47])/66 - 
       (9907*s[48])/66 + (193489*s[49])/66 - (41983*s[50])/11 - 
       (38539*s[51])/66 - (33665*s[52])/66 + (252620*s[53])/99 + 
       (8599*s[54])/33 + (1085005*s[55])/66 + (750677*s[56])/198 - 
       (2260343*s[57])/594 + (13504963*s[58])/1782 - (13855639*s[59])/1782 - 
       (16782731*s[60])/396 + (15958058*s[61])/8019 + 24*s[63] + 2*s[68] - 
       6*s[69] - 4*s[70] + 8*s[73] + 6*s[76] + 20*s[77] + 32*s[79] - 
       (32*s[80])/3 - 6*s[82])*\[Zeta][3] + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*(-11*s[2] - (563*s[3])/2 - (1015*s[4])/2 - 
       (20725*s[5])/44 - (45635*s[6])/44 - (2251081*s[7])/264 + 
       (466507*s[8])/1188 + (383101*s[9])/54 + (297085*s[10])/108 + 
       (7324327*s[11])/792 + (1878761*s[12])/198 + (4572529*s[13])/792 + 
       (1454017*s[14])/792 + (902477*s[15])/72 + (3011185*s[16])/198 + 
       (10504645*s[17])/792 + (242993*s[18])/162 + (618461*s[19])/324 + 
       (62871053*s[20])/3564 + (47835673*s[21])/7128 - 
       (30879779*s[22])/7128 - (2818879*s[23])/396 - (36754501*s[24])/3564 + 
       (366128003*s[25])/32076 - (212683619*s[26])/32076 - 18*s[29] + 
       7*s[30] - 12*s[31] - 2*s[32] + (7*s[33])/4 + 11*s[34] + 2*s[35] - 
       8*s[36] - (49*s[37])/3 - 252*s[38] + 683*s[39] - 701*s[40] + 
       510*s[41] - 855*s[42] - (6873*s[43])/11 + (12769*s[44])/22 - 
       (23230*s[45])/33 + (164215*s[46])/33 - (13669*s[47])/66 - 
       (9907*s[48])/66 + (193489*s[49])/66 - (41983*s[50])/11 - 
       (38539*s[51])/66 - (33665*s[52])/66 + (252620*s[53])/99 + 
       (8599*s[54])/33 + (1085005*s[55])/66 + (750677*s[56])/198 - 
       (2260343*s[57])/594 + (13504963*s[58])/1782 - (13855639*s[59])/1782 - 
       (16782731*s[60])/396 + (15958058*s[61])/8019 + 24*s[63] + 2*s[68] - 
       6*s[69] - 4*s[70] + 8*s[73] + 6*s[76] + 20*s[77] + 32*s[79] - 
       (32*s[80])/3 - 6*s[82])*\[Zeta][3] + HPL[{1}, 1 - u]^4*
      ((65*s[5])/33 - (106*s[6])/33 + (3581*s[7])/396 + (289*s[8])/198 - 
       (193*s[9])/18 - (197*s[10])/18 - (505*s[11])/132 + (424*s[12])/33 + 
       (4385*s[13])/396 + (127*s[14])/44 - (2095*s[15])/36 - 
       (3919*s[16])/99 - (27293*s[17])/396 + (292*s[18])/27 - 
       (1175*s[19])/54 - (18593*s[20])/594 - (7537*s[21])/396 + 
       (5155*s[22])/1188 - (472*s[23])/99 + (17339*s[24])/594 - 
       (1450*s[25])/891 + (9019*s[26])/891 - (14*s[37])/3 + (236*s[43])/33 + 
       (259*s[44])/66 + (130*s[45])/33 - (138*s[46])/11 - (1387*s[47])/198 - 
       (1387*s[48])/198 - (6641*s[49])/198 + (626*s[50])/33 - 
       (2017*s[51])/198 - (2339*s[52])/198 - (2810*s[53])/99 - 
       (1460*s[54])/33 - (3677*s[55])/22 + (2723*s[56])/66 - 
       (14471*s[57])/99 + (21355*s[58])/594 + (22607*s[59])/594 + 
       (267371*s[60])/1188 + (27737*s[61])/1782 + 4*s[82])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*(-14*s[2] - 164*s[3] - 831*s[4] - 
       (5443*s[5])/11 - (14726*s[6])/11 - (4672429*s[7])/396 + 
       (597587*s[8])/594 + (264059*s[9])/27 + (79318*s[10])/27 + 
       (5238611*s[11])/396 + (1455445*s[12])/99 + (3611533*s[13])/396 + 
       (261113*s[14])/396 + (554915*s[15])/36 + (3905201*s[16])/198 + 
       (643681*s[17])/44 + (164662*s[18])/81 + (162797*s[19])/81 + 
       (40120915*s[20])/1782 + (28987187*s[21])/3564 - 
       (21852583*s[22])/3564 - (1458947*s[23])/99 - (11659510*s[24])/891 + 
       (138086192*s[25])/8019 - (73831880*s[26])/8019 - 6*s[30] - 8*s[31] - 
       2*s[32] - 5*s[33] + 14*s[34] + 10*s[35] + 53*s[36] - (260*s[37])/3 - 
       534*s[38] + (7353*s[39])/4 - (7853*s[40])/4 + (5745*s[41])/4 - 
       (10173*s[42])/4 - (69519*s[43])/44 + (137081*s[44])/88 - 
       (47660*s[45])/33 + (1571975*s[46])/132 - (195413*s[47])/264 + 
       (23245*s[48])/264 + (1836191*s[49])/264 - (96860*s[50])/11 - 
       (448363*s[51])/264 - (398131*s[52])/264 + (2381167*s[53])/396 - 
       (7600*s[54])/33 + (3315429*s[55])/88 + (7766959*s[56])/792 - 
       (9408631*s[57])/594 + (142572677*s[58])/7128 - 
       (144729599*s[59])/7128 - (152596729*s[60])/1584 + 
       (303507485*s[61])/64152 + 2*s[65] + 4*s[66] - 4*s[67] - 14*s[68] - 
       6*s[69] + 2*s[70] - 3*s[71] - 8*s[72] + 12*s[73] + 3*s[74] - 3*s[75] + 
       16*s[76] - 6*s[77] - 24*s[78] - 28*s[79] - (58*s[80])/3 + 18*s[82])*
      \[Zeta][3] + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      (-11*s[2] + (33*s[3])/2 - (2365*s[4])/4 - (4896*s[5])/11 - 
       (41245*s[6])/44 - (7357237*s[7])/792 + (1015981*s[8])/1188 + 
       (429187*s[9])/54 + (52891*s[10])/27 + (8343595*s[11])/792 + 
       (4769299*s[12])/396 + (1953185*s[13])/264 + (229729*s[14])/792 + 
       (277237*s[15])/24 + (662339*s[16])/44 + (8153441*s[17])/792 + 
       (136468*s[18])/81 + (392003*s[19])/324 + (62850965*s[20])/3564 + 
       (45495199*s[21])/7128 - (35268371*s[22])/7128 - (837109*s[23])/66 - 
       (17532653*s[24])/1782 + (440938241*s[25])/32076 - 
       (234894779*s[26])/32076 + 8*s[29] - 6*s[30] - 8*s[31] + 5*s[33] + 
       14*s[34] + 10*s[35] + 53*s[36] - (260*s[37])/3 - 534*s[38] + 
       (7353*s[39])/4 - (7853*s[40])/4 + (5745*s[41])/4 - (10173*s[42])/4 - 
       (69519*s[43])/44 + (137081*s[44])/88 - (47660*s[45])/33 + 
       (1571975*s[46])/132 - (195413*s[47])/264 + (23245*s[48])/264 + 
       (1836191*s[49])/264 - (96860*s[50])/11 - (448363*s[51])/264 - 
       (398131*s[52])/264 + (2381167*s[53])/396 - (7600*s[54])/33 + 
       (3315429*s[55])/88 + (7766959*s[56])/792 - (9408631*s[57])/594 + 
       (142572677*s[58])/7128 - (144729599*s[59])/7128 - 
       (152596729*s[60])/1584 + (303507485*s[61])/64152 + 2*s[65] + 4*s[66] - 
       4*s[67] - 14*s[68] - 6*s[69] + 2*s[70] - 3*s[71] - 8*s[72] + 
       12*s[73] + 3*s[74] - 3*s[75] + 16*s[76] - 6*s[77] - 24*s[78] - 
       28*s[79] - (58*s[80])/3 + 18*s[82])*\[Zeta][3] + 
     HPL[{1}, 1 - w]^4*(s[1]/12 + (77*s[4])/2 + (83*s[5])/44 + 
       (5917*s[6])/264 + (89489*s[7])/264 - (46265*s[8])/792 - 
       (18625*s[9])/72 - (1355*s[10])/18 - (192749*s[11])/528 - 
       (221983*s[12])/528 - (7726*s[13])/33 + (821*s[14])/11 - 
       (35483*s[15])/72 - (39305*s[16])/66 - (224597*s[17])/528 - 
       (9803*s[18])/216 - (14773*s[19])/216 - (348835*s[20])/594 - 
       (216761*s[21])/1188 + (408059*s[22])/2376 + (113523*s[23])/176 + 
       (1725649*s[24])/4752 - (21913499*s[25])/42768 + 
       (10341371*s[26])/42768 - (7*s[37])/3 + (37*s[38])/6 - (533*s[39])/12 + 
       (89*s[40])/2 - (77*s[41])/2 + (859*s[42])/12 + (2935*s[43])/132 - 
       (1831*s[44])/66 + (6317*s[45])/132 - (12844*s[46])/33 + 
       (1035*s[47])/44 - (2677*s[48])/66 - (6075*s[49])/44 + 
       (10669*s[50])/33 + (4156*s[51])/99 + (3541*s[52])/132 - 
       (16529*s[53])/66 + (14*s[54])/33 - (34521*s[55])/22 - 
       (12922*s[56])/33 + (11023*s[57])/44 - (237227*s[58])/396 + 
       (64277*s[59])/99 + (809089*s[60])/264 - (180298*s[61])/891 + 22*s[82])*
      \[Zeta][3] + HPL[{1}, 1 - v]^4*((1495*s[5])/33 + (11483*s[6])/264 + 
       (102073*s[7])/264 - (15817*s[8])/792 - (25475*s[9])/72 - 
       (4865*s[10])/36 - (202891*s[11])/528 - (186893*s[12])/528 - 
       (7687*s[13])/44 - (8079*s[14])/44 - (45899*s[15])/72 - 
       (31333*s[16])/44 - (364231*s[17])/528 - (24619*s[18])/216 - 
       (3707*s[19])/216 - (279715*s[20])/297 - (504895*s[21])/1188 + 
       (484795*s[22])/2376 + (64177*s[23])/176 + (1856615*s[24])/4752 - 
       (17232625*s[25])/42768 + (13926997*s[26])/42768 - (7*s[37])/3 + 
       (37*s[38])/6 - (533*s[39])/12 + (89*s[40])/2 - (77*s[41])/2 + 
       (859*s[42])/12 + (2935*s[43])/132 - (1831*s[44])/66 + 
       (6317*s[45])/132 - (12844*s[46])/33 + (1035*s[47])/44 - 
       (2677*s[48])/66 - (6075*s[49])/44 + (10669*s[50])/33 + 
       (4156*s[51])/99 + (3541*s[52])/132 - (16529*s[53])/66 + 
       (14*s[54])/33 - (34521*s[55])/22 - (12922*s[56])/33 + 
       (11023*s[57])/44 - (237227*s[58])/396 + (64277*s[59])/99 + 
       (809089*s[60])/264 - (180298*s[61])/891 + 22*s[82])*\[Zeta][3] + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((-361*s[2])/6 - (1337*s[3])/12 - 
       (40173*s[4])/8 - (455299*s[5])/132 - (801909*s[6])/88 - 
       (128316871*s[7])/1584 + (47314279*s[8])/7128 + (22120171*s[9])/324 + 
       (6894299*s[10])/324 + (422986051*s[11])/4752 + 
       (115748723*s[12])/1188 + (278600533*s[13])/4752 + 
       (49341199*s[14])/4752 + (46406267*s[15])/432 + 
       (162172369*s[16])/1188 + (499128829*s[17])/4752 + 
       (3571601*s[18])/243 + (23380091*s[19])/1944 + (3436605545*s[20])/
        21384 + (2478551029*s[21])/42768 - (1821672473*s[22])/42768 - 
       (27739631*s[23])/297 - (236634809*s[24])/2673 + 
       (21846349991*s[25])/192456 - (11962843301*s[26])/192456 + 
       (20*s[29])/3 - 5*s[30] - (38*s[31])/3 + 13*s[32] + (5*s[33])/2 + 
       (49*s[34])/3 + 22*s[35] + (617*s[36])/3 - (3070*s[37])/9 - 
       (8083*s[38])/3 + (45275*s[39])/4 - (153805*s[40])/12 + 
       (40537*s[41])/4 - (197323*s[42])/12 - (1352911*s[43])/132 + 
       (950979*s[44])/88 - (2231267*s[45])/198 + (35656333*s[46])/396 - 
       (929041*s[47])/264 - (516035*s[48])/264 + (12178219*s[49])/264 - 
       (2283803*s[50])/33 - (994261*s[51])/88 - (2368585*s[52])/264 + 
       (28526623*s[53])/594 - (239513*s[54])/99 + (80222875*s[55])/264 + 
       (191091353*s[56])/2376 - (140154521*s[57])/1782 + 
       (2981555131*s[58])/21384 - (3024543613*s[59])/21384 - 
       (3511566343*s[60])/4752 + (7484218957*s[61])/192456 + (4*s[65])/3 + 
       (28*s[66])/3 - 12*s[67] + (44*s[68])/3 - (104*s[69])/3 + 20*s[70] + 
       (14*s[71])/3 - 52*s[72] + (58*s[73])/3 + (151*s[74])/3 - 
       (151*s[75])/3 + (56*s[76])/3 + (58*s[77])/3 - (98*s[78])/3 - 
       (3728*s[79])/3 + (3538*s[80])/9 - 1606*s[82] - 10*s[83] - 492*s[84] - 
       440*s[85])*\[Zeta][3] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*(-35*s[2] - (865*s[3])/6 - (6111*s[4])/4 - 
       (67505*s[5])/44 - (497015*s[6])/132 - (73841591*s[7])/2376 + 
       (2565283*s[8])/1188 + (708851*s[9])/27 + (994975*s[10])/108 + 
       (1103510*s[11])/33 + (27937397*s[12])/792 + (49351261*s[13])/2376 + 
       (608821*s[14])/88 + (9316223*s[15])/216 + (63727883*s[16])/1188 + 
       (52742743*s[17])/1188 + (17758*s[18])/3 + (127075*s[19])/27 + 
       (25607321*s[20])/396 + (171838457*s[21])/7128 - 
       (115497533*s[22])/7128 - (71409869*s[23])/2376 - 
       (248288699*s[24])/7128 + (1325536423*s[25])/32076 - 
       (769818787*s[26])/32076 + (2*s[29])/3 + (14*s[30])/3 + (4*s[31])/3 + 
       5*s[32] - (2*s[33])/3 - (62*s[34])/3 - (112*s[35])/3 + (530*s[36])/9 + 
       (443*s[37])/9 - (2158*s[38])/3 + (6335*s[39])/2 - (67567*s[40])/18 + 
       (6207*s[41])/2 - (82211*s[42])/18 - (697907*s[43])/198 + 
       (344743*s[44])/99 - (968213*s[45])/198 + (3361472*s[46])/99 - 
       (429035*s[47])/1188 - (2302841*s[48])/1188 + (18367751*s[49])/1188 - 
       (5235683*s[50])/198 - (3782215*s[51])/1188 - (1420679*s[52])/594 + 
       (5634052*s[53])/297 - (55756*s[54])/99 + (48502271*s[55])/396 + 
       (12741103*s[56])/396 - (2232113*s[57])/198 + (171033145*s[58])/3564 - 
       (176191825*s[59])/3564 - (2028839627*s[60])/7128 + 
       (517573961*s[61])/32076 + (4*s[65])/3 + (4*s[66])/3 - 4*s[67] + 
       (44*s[68])/3 - (80*s[69])/3 + (26*s[71])/3 - 16*s[72] + (92*s[73])/3 + 
       (26*s[74])/3 - (26*s[75])/3 + (20*s[76])/3 + (68*s[77])/3 - 
       (964*s[79])/3 + (718*s[80])/9 - 1134*s[82] - 13*s[83] - 190*s[84] - 
       352*s[85])*\[Zeta][3] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*((-203*s[2])/6 - (823*s[3])/12 - (21839*s[4])/8 - 
       (59476*s[5])/33 - (1287659*s[6])/264 - (23332229*s[7])/528 + 
       (2781217*s[8])/792 + (1341007*s[9])/36 + (432695*s[10])/36 + 
       (25638103*s[11])/528 + (3499495*s[12])/66 + (5598915*s[13])/176 + 
       (3102247*s[14])/528 + (8465269*s[15])/144 + (3288037*s[16])/44 + 
       (10157143*s[17])/176 + (856895*s[18])/108 + (1485191*s[19])/216 + 
       (209553191*s[20])/2376 + (150568189*s[21])/4752 - 
       (110589881*s[22])/4752 - (1620634*s[23])/33 - (29032237*s[24])/594 + 
       (330167837*s[25])/5346 - (90386821*s[26])/2673 + (2*s[29])/3 - 
       (25*s[30])/3 - (2*s[31])/3 + (31*s[32])/3 + (11*s[33])/6 - s[34] + 
       (62*s[35])/3 + (359*s[36])/3 - 101*s[37] - (4619*s[38])/3 + 
       (77453*s[39])/12 - (29315*s[40])/4 + (70379*s[41])/12 - 
       (112531*s[42])/12 - (770515*s[43])/132 + (1646357*s[44])/264 - 
       (400231*s[45])/66 + (6606331*s[46])/132 - (1487075*s[47])/792 - 
       (1043885*s[48])/792 + (21052349*s[49])/792 - (1277968*s[50])/33 - 
       (1719907*s[51])/264 - (4030471*s[52])/792 + (292053*s[53])/11 - 
       (24335*s[54])/33 + (132382061*s[55])/792 + (34491319*s[56])/792 - 
       (26690749*s[57])/594 + (551755409*s[58])/7128 - 
       (559529159*s[59])/7128 - (1959326147*s[60])/4752 + 
       (1355168819*s[61])/64152 + (4*s[65])/3 + (28*s[66])/3 - 12*s[67] + 
       (68*s[68])/3 - (128*s[69])/3 + 14*s[70] + (11*s[71])/3 - 28*s[72] + 
       10*s[73] + (97*s[74])/3 - (97*s[75])/3 - (16*s[76])/3 + (68*s[77])/3 - 
       12*s[78] - (2188*s[79])/3 + (734*s[80])/3 - 894*s[82] - 6*s[83] - 
       288*s[84] - 272*s[85])*\[Zeta][3] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*((-161*s[2])/6 - (691*s[3])/12 - (24843*s[4])/8 - 
       (112649*s[5])/66 - (1356563*s[6])/264 - (72091087*s[7])/1584 + 
       (9229063*s[8])/2376 + (4121371*s[9])/108 + (1258991*s[10])/108 + 
       (79826317*s[11])/1584 + (11031655*s[12])/198 + (17852393*s[13])/528 + 
       (7106653*s[14])/1584 + (8562997*s[15])/144 + (3362749*s[16])/44 + 
       (91192703*s[17])/1584 + (2564249*s[18])/324 + (4593845*s[19])/648 + 
       (632223485*s[20])/7128 + (446382943*s[21])/14256 - 
       (341297579*s[22])/14256 - (3566989*s[23])/66 - (88791349*s[24])/1782 + 
       (2085882859*s[25])/32076 - (1113507865*s[26])/32076 + (26*s[29])/3 - 
       (19*s[30])/3 - (2*s[31])/3 + (40*s[32])/3 + (10*s[33])/3 - s[34] + 
       (62*s[35])/3 + (359*s[36])/3 - 101*s[37] - (4619*s[38])/3 + 
       (77453*s[39])/12 - (29315*s[40])/4 + (70379*s[41])/12 - 
       (112531*s[42])/12 - (770515*s[43])/132 + (1646357*s[44])/264 - 
       (400231*s[45])/66 + (6606331*s[46])/132 - (1487075*s[47])/792 - 
       (1043885*s[48])/792 + (21052349*s[49])/792 - (1277968*s[50])/33 - 
       (1719907*s[51])/264 - (4030471*s[52])/792 + (292053*s[53])/11 - 
       (24335*s[54])/33 + (132382061*s[55])/792 + (34491319*s[56])/792 - 
       (26690749*s[57])/594 + (551755409*s[58])/7128 - 
       (559529159*s[59])/7128 - (1959326147*s[60])/4752 + 
       (1355168819*s[61])/64152 + (4*s[65])/3 + (28*s[66])/3 - 12*s[67] + 
       (68*s[68])/3 - (128*s[69])/3 + 14*s[70] + (11*s[71])/3 - 28*s[72] + 
       10*s[73] + (97*s[74])/3 - (97*s[75])/3 - (16*s[76])/3 + (68*s[77])/3 - 
       12*s[78] - (2188*s[79])/3 + (734*s[80])/3 - 894*s[82] - 6*s[83] - 
       288*s[84] - 272*s[85])*\[Zeta][3] + HPL[{0, 1, 1, 1}, 1 - w]*
      ((-169*s[2])/2 - (605*s[3])/4 - (27173*s[4])/8 - (148581*s[5])/44 - 
       (677777*s[6])/88 - (109110347*s[7])/1584 + (10847879*s[8])/2376 + 
       (6345371*s[9])/108 + (539383*s[10])/27 + (119869709*s[11])/1584 + 
       (32345287*s[12])/396 + (26005777*s[13])/528 + (20797985*s[14])/1584 + 
       (4427947*s[15])/48 + (2579179*s[16])/22 + (146458255*s[17])/1584 + 
       (3968893*s[18])/324 + (7448341*s[19])/648 + (1007207269*s[20])/7128 + 
       (743063963*s[21])/14256 - (518722843*s[22])/14256 - 
       (8465915*s[23])/132 - (141207083*s[24])/1782 + 
       (3028270835*s[25])/32076 - (1712884853*s[26])/32076 - 26*s[29] + 
       28*s[30] + 18*s[31] + 4*s[32] + (417*s[33])/4 - 82*s[34] - 5*s[35] + 
       (68*s[36])/3 - (465*s[37])/2 - 2310*s[38] + (32761*s[39])/4 - 
       (113243*s[40])/12 + (29145*s[41])/4 - (135445*s[42])/12 - 
       (1054213*s[43])/132 + (1067113*s[44])/132 - (375031*s[45])/44 + 
       (4322309*s[46])/66 - (192716*s[47])/99 - (1232633*s[48])/396 + 
       (3514235*s[49])/99 - (3308663*s[50])/66 - (3067099*s[51])/396 - 
       (645463*s[52])/99 + (13245689*s[53])/396 - (67951*s[54])/66 + 
       (9546519*s[55])/44 + (11315875*s[56])/198 - (66228851*s[57])/1188 + 
       (362040685*s[58])/3564 - (363252139*s[59])/3564 - 
       (1311982367*s[60])/2376 + (889209205*s[61])/32076 - 13*s[65] - 
       40*s[66] + 26*s[67] + 36*s[68] + 60*s[69] - 34*s[70] + 10*s[71] + 
       26*s[72] - 34*s[73] - (19*s[74])/2 + (19*s[75])/2 - 32*s[76] - 
       3*s[77] + 138*s[78] - 968*s[79] + 373*s[80] - 1368*s[82] + 21*s[83] - 
       174*s[84] - 264*s[85])*\[Zeta][3] + HPL[{0, 1, 1, 1}, 1 - v]*
      ((85*s[2])/2 - (1599*s[3])/4 - (31157*s[4])/8 - (33035*s[5])/22 - 
       (470075*s[6])/88 - (25780159*s[7])/528 + (10511477*s[8])/2376 + 
       (4377431*s[9])/108 + (1220749*s[10])/108 + (87724079*s[11])/1584 + 
       (25098685*s[12])/396 + (61971521*s[13])/1584 + (2515127*s[14])/1584 + 
       (8759431*s[15])/144 + (7931849*s[16])/99 + (87681581*s[17])/1584 + 
       (2651281*s[18])/324 + (5129983*s[19])/648 + (658566823*s[20])/7128 + 
       (447472073*s[21])/14256 - (365678941*s[22])/14256 - 
       (6269062*s[23])/99 - (192823621*s[24])/3564 + (2347537859*s[25])/
        32076 - (1203217937*s[26])/32076 - 7*s[30] + 28*s[31] - 28*s[32] + 
       (33*s[33])/2 - 59*s[34] - 5*s[35] + (68*s[36])/3 - (465*s[37])/2 - 
       2310*s[38] + (32761*s[39])/4 - (113243*s[40])/12 + (29145*s[41])/4 - 
       (135445*s[42])/12 - (1054213*s[43])/132 + (1067113*s[44])/132 - 
       (375031*s[45])/44 + (4322309*s[46])/66 - (192716*s[47])/99 - 
       (1232633*s[48])/396 + (3514235*s[49])/99 - (3308663*s[50])/66 - 
       (3067099*s[51])/396 - (645463*s[52])/99 + (13245689*s[53])/396 - 
       (67951*s[54])/66 + (9546519*s[55])/44 + (11315875*s[56])/198 - 
       (66228851*s[57])/1188 + (362040685*s[58])/3564 - 
       (363252139*s[59])/3564 - (1311982367*s[60])/2376 + 
       (889209205*s[61])/32076 - 13*s[65] - 40*s[66] + 26*s[67] + 36*s[68] + 
       60*s[69] - 34*s[70] + 10*s[71] + 26*s[72] - 34*s[73] - (19*s[74])/2 + 
       (19*s[75])/2 - 32*s[76] - 3*s[77] + 138*s[78] - 968*s[79] + 
       373*s[80] - 1368*s[82] + 21*s[83] - 174*s[84] - 264*s[85])*
      \[Zeta][3] + HPL[{0, 1}, 1 - u]^2*((-203*s[2])/6 - (213*s[3])/4 - 
       (8036*s[4])/3 - (169129*s[5])/88 - (443933*s[6])/88 - 
       (212650781*s[7])/4752 + (25382123*s[8])/7128 + (12267101*s[9])/324 + 
       (7781225*s[10])/648 + (233304917*s[11])/4752 + (15918412*s[12])/297 + 
       (50976605*s[13])/1584 + (30084707*s[14])/4752 + (8538709*s[15])/144 + 
       (29898367*s[16])/396 + (276765211*s[17])/4752 + (4040213*s[18])/486 + 
       (12522991*s[19])/1944 + (1917865051*s[20])/21384 + 
       (1391566127*s[21])/42768 - (1008648769*s[22])/42768 - 
       (40026887*s[23])/792 - (1044748103*s[24])/21384 + 
       (11978929093*s[25])/192456 - (6621597823*s[26])/192456 + (7*s[29])/3 - 
       (31*s[30])/6 - (14*s[31])/3 + (25*s[32])/6 + (275*s[33])/24 + 
       (35*s[34])/6 + (199*s[35])/3 + (1123*s[36])/9 - (2093*s[37])/18 - 
       (4414*s[38])/3 + (35681*s[39])/6 - (122351*s[40])/18 + 
       (16258*s[41])/3 - (153937*s[42])/18 - (1071553*s[43])/198 + 
       (4600825*s[44])/792 - (2541025*s[45])/396 + (6538787*s[46])/132 - 
       (3983789*s[47])/2376 - (3192713*s[48])/2376 + (58317335*s[49])/2376 - 
       (7572211*s[50])/198 - (14344633*s[51])/2376 - (11397589*s[52])/2376 + 
       (1158029*s[53])/44 - (58357*s[54])/66 + (133158391*s[55])/792 + 
       (107053633*s[56])/2376 - (148233695*s[57])/3564 + 
       (1640143985*s[58])/21384 - (1652979803*s[59])/21384 - 
       (5819348687*s[60])/14256 + (4212964991*s[61])/192456 - 8*s[63] - 
       s[65]/3 + (14*s[66])/3 - 4*s[67] - (2*s[68])/3 - (22*s[69])/3 - 
       6*s[70] + (16*s[71])/3 - (50*s[72])/3 + (10*s[73])/3 + (179*s[74])/6 - 
       (179*s[75])/6 + 2*s[76] + 17*s[77] - 20*s[78] - (2068*s[79])/3 + 
       (1573*s[80])/9 - 769*s[82] - (19*s[83])/2 - 325*s[84] - 240*s[85])*
      \[Zeta][3] + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      (-23*s[2] - (481*s[3])/3 - (16149*s[4])/4 - (90295*s[5])/33 - 
       (312227*s[6])/44 - (151371133*s[7])/2376 + (9340993*s[8])/1782 + 
       (4350859*s[9])/81 + (5413787*s[10])/324 + (165965387*s[11])/2376 + 
       (45282487*s[12])/594 + (109066537*s[13])/2376 + 
       (18806537*s[14])/2376 + (18306965*s[15])/216 + (63789127*s[16])/594 + 
       (65744321*s[17])/792 + (5590423*s[18])/486 + (4650473*s[19])/486 + 
       (1348952821*s[20])/10692 + (968313701*s[21])/21384 - 
       (715630375*s[22])/21384 - (87717007*s[23])/1188 - 
       (740533229*s[24])/10692 + (17178569231*s[25])/192456 - 
       (9357649889*s[26])/192456 + (2*s[29])/3 - 13*s[30] - (10*s[31])/3 - 
       (8*s[32])/3 + (217*s[33])/12 + 21*s[34] + (226*s[35])/3 + 
       (1597*s[36])/9 - 233*s[37] - 2098*s[38] + (105787*s[39])/12 - 
       (357589*s[40])/36 + (94519*s[41])/12 - (462965*s[42])/36 - 
       (3056303*s[43])/396 + (3283493*s[44])/396 - (592733*s[45])/66 + 
       (27972503*s[46])/396 - (879463*s[47])/297 - (1153303*s[48])/1188 + 
       (10411429*s[49])/297 - (5387903*s[50])/99 - (10763345*s[51])/1188 - 
       (4225975*s[52])/594 + (45023107*s[53])/1188 - (352559*s[54])/198 + 
       (94910315*s[55])/396 + (18865135*s[56])/297 - (220285639*s[57])/3564 + 
       (1171687283*s[58])/10692 - (1184738309*s[59])/10692 - 
       (1026818101*s[60])/1782 + (2967485777*s[61])/96228 + 8*s[63] + 
       (10*s[65])/3 + (10*s[66])/3 - 6*s[67] + (2*s[68])/3 - (74*s[69])/3 - 
       8*s[70] + (14*s[71])/3 - (104*s[72])/3 + 16*s[73] + 48*s[74] - 
       48*s[75] + (82*s[76])/3 + (92*s[77])/3 - (70*s[78])/3 - 
       (2756*s[79])/3 + 226*s[80] - 822*s[82] - 10*s[83] - 412*s[84] - 
       232*s[85])*\[Zeta][3] + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-214*s[2])/3 - (161*s[3])/6 - (11329*s[4])/3 - (62955*s[5])/22 - 
       (76402*s[6])/11 - (151142059*s[7])/2376 + (4651187*s[8])/891 + 
       (17445223*s[9])/324 + (2717131*s[10])/162 + (165238259*s[11])/2376 + 
       (45076927*s[12])/594 + (107263645*s[13])/2376 + 
       (20507843*s[14])/2376 + (18301439*s[15])/216 + 
       (127126727*s[16])/1188 + (21820399*s[17])/264 + (5887081*s[18])/486 + 
       (2119060*s[19])/243 + (340614976*s[20])/2673 + 
       (990504191*s[21])/21384 - (716518315*s[22])/21384 - 
       (22018999*s[23])/297 - (731786993*s[24])/10692 + 
       (16967010245*s[25])/192456 - (9392382581*s[26])/192456 + 
       (26*s[29])/3 - (43*s[30])/3 - (68*s[31])/3 + 11*s[32] - 
       (155*s[33])/12 + 37*s[34] + (226*s[35])/3 + (1597*s[36])/9 - 
       233*s[37] - 2098*s[38] + (105787*s[39])/12 - (357589*s[40])/36 + 
       (94519*s[41])/12 - (462965*s[42])/36 - (3056303*s[43])/396 + 
       (3283493*s[44])/396 - (592733*s[45])/66 + (27972503*s[46])/396 - 
       (879463*s[47])/297 - (1153303*s[48])/1188 + (10411429*s[49])/297 - 
       (5387903*s[50])/99 - (10763345*s[51])/1188 - (4225975*s[52])/594 + 
       (45023107*s[53])/1188 - (352559*s[54])/198 + (94910315*s[55])/396 + 
       (18865135*s[56])/297 - (220285639*s[57])/3564 + 
       (1171687283*s[58])/10692 - (1184738309*s[59])/10692 - 
       (1026818101*s[60])/1782 + (2967485777*s[61])/96228 + 8*s[63] + 
       (10*s[65])/3 + (10*s[66])/3 - 6*s[67] + (2*s[68])/3 - (74*s[69])/3 - 
       8*s[70] + (14*s[71])/3 - (104*s[72])/3 + 16*s[73] + 48*s[74] - 
       48*s[75] + (82*s[76])/3 + (92*s[77])/3 - (70*s[78])/3 - 
       (2756*s[79])/3 + 226*s[80] - 822*s[82] - 10*s[83] - 412*s[84] - 
       232*s[85])*\[Zeta][3] + HPL[{0, 1}, 1 - w]^2*
      ((-269*s[2])/12 - (197*s[3])/24 - (118765*s[4])/48 - (88439*s[5])/66 - 
       (759249*s[6])/176 - (39390799*s[7])/1056 + (44077189*s[8])/14256 + 
       (10154309*s[9])/324 + (6258761*s[10])/648 + (392980981*s[11])/9504 + 
       (108748259*s[12])/2376 + (265453555*s[13])/9504 + 
       (39952177*s[14])/9504 + (41713289*s[15])/864 + 
       (148505965*s[16])/2376 + (445197139*s[17])/9504 + 
       (3166067*s[18])/486 + (21867809*s[19])/3888 + (3124360325*s[20])/
        42768 + (2211008455*s[21])/85536 - (1684224299*s[22])/85536 - 
       (102692657*s[23])/2376 - (219245375*s[24])/5346 + 
       (20475987947*s[25])/384912 - (10991411171*s[26])/384912 + 
       (10*s[29])/3 - (13*s[30])/3 + (13*s[31])/3 + (73*s[32])/6 + 
       (127*s[33])/8 - (52*s[34])/3 + (13*s[35])/2 + (553*s[36])/6 - 
       (3257*s[37])/36 - (7861*s[38])/6 + (21501*s[39])/4 - (24787*s[40])/4 + 
       4924*s[41] - (93397*s[42])/12 - (657133*s[43])/132 + 
       (2804711*s[44])/528 - (4240651*s[45])/792 + (34199599*s[46])/792 - 
       (2283913*s[47])/1584 - (2345821*s[48])/1584 + (35472595*s[49])/1584 - 
       (731351*s[50])/22 - (8545997*s[51])/1584 - (6829979*s[52])/1584 + 
       (13427849*s[53])/594 - (186227*s[54])/198 + (76043131*s[55])/528 + 
       (183289343*s[56])/4752 - (277674139*s[57])/7128 + 
       (2876881495*s[58])/42768 - (2892442837*s[59])/42768 - 
       (3391735619*s[60])/9504 + (7131918889*s[61])/384912 - (4*s[65])/3 + 
       (2*s[66])/3 - s[67] + (34*s[68])/3 - (19*s[69])/3 + 10*s[70] + 
       (29*s[71])/6 - 17*s[72] + (23*s[73])/3 + (269*s[74])/12 - 
       (269*s[75])/12 + (16*s[76])/3 + (7*s[77])/6 + (26*s[78])/3 - 
       (2236*s[79])/3 + (4135*s[80])/18 - 837*s[82] - (19*s[83])/2 - 
       309*s[84] - 232*s[85])*\[Zeta][3] + HPL[{0, 1}, 1 - v]^2*
      ((-161*s[2])/4 - (341*s[3])/24 - (114875*s[4])/48 - (147775*s[5])/88 - 
       (793257*s[6])/176 - (127683109*s[7])/3168 + (44160505*s[8])/14256 + 
       (2767748*s[9])/81 + (3525073*s[10])/324 + (421349065*s[11])/9504 + 
       (28799333*s[12])/594 + (277235131*s[13])/9504 + 
       (54383221*s[14])/9504 + (46038785*s[15])/864 + (20181962*s[16])/297 + 
       (495160087*s[17])/9504 + (7234099*s[18])/972 + (22741445*s[19])/3888 + 
       (3456933245*s[20])/42768 + (2505878455*s[21])/85536 - 
       (1823731919*s[22])/85536 - (53539993*s[23])/1188 - 
       (945148631*s[24])/21384 + (21624914921*s[25])/384912 - 
       (11946046901*s[26])/384912 - (14*s[29])/3 - (49*s[30])/6 - 14*s[31] + 
       (31*s[32])/3 - (5*s[33])/4 + (37*s[34])/6 + (13*s[35])/2 + 
       (553*s[36])/6 - (3257*s[37])/36 - (7861*s[38])/6 + (21501*s[39])/4 - 
       (24787*s[40])/4 + 4924*s[41] - (93397*s[42])/12 - (657133*s[43])/132 + 
       (2804711*s[44])/528 - (4240651*s[45])/792 + (34199599*s[46])/792 - 
       (2283913*s[47])/1584 - (2345821*s[48])/1584 + (35472595*s[49])/1584 - 
       (731351*s[50])/22 - (8545997*s[51])/1584 - (6829979*s[52])/1584 + 
       (13427849*s[53])/594 - (186227*s[54])/198 + (76043131*s[55])/528 + 
       (183289343*s[56])/4752 - (277674139*s[57])/7128 + 
       (2876881495*s[58])/42768 - (2892442837*s[59])/42768 - 
       (3391735619*s[60])/9504 + (7131918889*s[61])/384912 - (4*s[65])/3 + 
       (2*s[66])/3 - s[67] + (34*s[68])/3 - (19*s[69])/3 + 10*s[70] + 
       (29*s[71])/6 - 17*s[72] + (23*s[73])/3 + (269*s[74])/12 - 
       (269*s[75])/12 + (16*s[76])/3 + (7*s[77])/6 + (26*s[78])/3 - 
       (2236*s[79])/3 + (4135*s[80])/18 - 837*s[82] - (19*s[83])/2 - 
       309*s[84] - 232*s[85])*\[Zeta][3] + HPL[{0, 0, 0, 1}, 1 - u]*
      (-59*s[2] - 368*s[3] - 914*s[4] - (17154*s[5])/11 - (31858*s[6])/11 - 
       (5023699*s[7])/198 + (137308*s[8])/99 + (194135*s[9])/9 + 
       (75382*s[10])/9 + (1787645*s[11])/66 + (915103*s[12])/33 + 
       (3164087*s[13])/198 + (471155*s[14])/66 + (663943*s[15])/18 + 
       (4443493*s[16])/99 + (7705639*s[17])/198 + (135824*s[18])/27 + 
       (119671*s[19])/27 + (16383757*s[20])/297 + (4226581*s[21])/198 - 
       (7800581*s[22])/594 - (2043389*s[23])/99 - (8802733*s[24])/297 + 
       (19310641*s[25])/594 - (11869021*s[26])/594 - 14*s[29] + 12*s[30] + 
       8*s[31] + 12*s[33] - 20*s[34] - 8*s[35] - (164*s[36])/3 + 
       (292*s[37])/3 - 644*s[38] + 1924*s[39] - (6952*s[40])/3 + 1960*s[41] - 
       (6992*s[42])/3 - (84020*s[43])/33 + (81203*s[44])/33 - 
       (152204*s[45])/33 + (903292*s[46])/33 + (43349*s[47])/99 - 
       (238075*s[48])/99 + (1182121*s[49])/99 - (720020*s[50])/33 - 
       (138707*s[51])/99 - (116339*s[52])/99 + (1539122*s[53])/99 + 
       (40756*s[54])/33 + (1159361*s[55])/11 + (288743*s[56])/11 + 
       (309758*s[57])/99 + (10712743*s[58])/297 - (11399131*s[59])/297 - 
       (141100675*s[60])/594 + (4069036*s[61])/297 - 32*s[63] - 8*s[65] - 
       20*s[66] + 16*s[67] + 52*s[68] + 44*s[69] - 32*s[70] + 16*s[71] + 
       16*s[72] - 12*s[74] + 12*s[75] - 16*s[76] + 80*s[77] + 32*s[78] + 
       8*s[79] - (232*s[80])/3 - 1072*s[82] - 192*s[85])*\[Zeta][3] + 
     HPL[{0, 0, 0, 1}, 1 - v]*(28*s[2] - (313*s[3])/2 - (3405*s[4])/4 - 
       (27451*s[5])/22 - (99953*s[6])/44 - (17196907*s[7])/792 + 
       (488597*s[8])/396 + (334319*s[9])/18 + (65579*s[10])/9 + 
       (2046633*s[11])/88 + (793418*s[12])/33 + (10994219*s[13])/792 + 
       (514545*s[14])/88 + (2255713*s[15])/72 + (3793972*s[16])/99 + 
       (26018011*s[17])/792 + (70387*s[18])/18 + (50615*s[19])/12 + 
       (18586429*s[20])/396 + (42182329*s[21])/2376 - (26976769*s[22])/2376 - 
       (1607663*s[23])/99 - (15411523*s[24])/594 + (75073349*s[25])/2673 - 
       (44957918*s[26])/2673 - 8*s[29] + 12*s[30] + 36*s[31] - 2*s[32] + 
       (175*s[33])/2 - 54*s[34] + 14*s[35] - 6*s[36] - (226*s[37])/3 - 
       494*s[38] + 1725*s[39] - 1981*s[40] + 1521*s[41] - 2340*s[42] - 
       (19427*s[43])/11 + (78003*s[44])/44 - (65539*s[45])/33 + 
       (486928*s[46])/33 - (12413*s[47])/44 - (32081*s[48])/44 + 
       (349199*s[49])/44 - (126403*s[50])/11 - (198511*s[51])/132 - 
       (55717*s[52])/44 + (1561159*s[53])/198 - (3161*s[54])/33 + 
       (6766135*s[55])/132 + (5051053*s[56])/396 - (5064869*s[57])/594 + 
       (77815475*s[58])/3564 - (80820899*s[59])/3564 - (99698579*s[60])/792 + 
       (100329751*s[61])/16038 - 2*s[65] - 6*s[66] + 4*s[67] + 10*s[68] + 
       6*s[69] - 12*s[70] + 4*s[72] - 12*s[73] - 3*s[74] + 3*s[75] - 
       40*s[76] + 30*s[77] + 44*s[78] - 168*s[79] + (286*s[80])/3 - 
       792*s[82] - 144*s[85])*\[Zeta][3] + HPL[{0, 0, 0, 1}, 1 - w]*
      (19*s[2] + (91*s[3])/2 - (2723*s[4])/4 - (1267*s[5])/22 - 
       (20367*s[6])/44 - (3907439*s[7])/792 + (913417*s[8])/1188 + 
       (106877*s[9])/27 + (4543*s[10])/27 + (4797481*s[11])/792 + 
       (1548149*s[12])/198 + (4140695*s[13])/792 - (1607447*s[14])/792 + 
       (349921*s[15])/72 + (1380317*s[16])/198 + (231039*s[17])/88 + 
       (38110*s[18])/81 + (249161*s[19])/324 + (23893409*s[20])/3564 + 
       (11495563*s[21])/7128 - (18683099*s[22])/7128 - (1095674*s[23])/99 - 
       (8651759*s[24])/1782 + (292925783*s[25])/32076 - 
       (117540443*s[26])/32076 + 4*s[29] - 2*s[30] + 4*s[31] + 10*s[32] - 
       5*s[33] - 6*s[34] + 14*s[35] - 6*s[36] - (226*s[37])/3 - 494*s[38] + 
       1725*s[39] - 1981*s[40] + 1521*s[41] - 2340*s[42] - (19427*s[43])/11 + 
       (78003*s[44])/44 - (65539*s[45])/33 + (486928*s[46])/33 - 
       (12413*s[47])/44 - (32081*s[48])/44 + (349199*s[49])/44 - 
       (126403*s[50])/11 - (198511*s[51])/132 - (55717*s[52])/44 + 
       (1561159*s[53])/198 - (3161*s[54])/33 + (6766135*s[55])/132 + 
       (5051053*s[56])/396 - (5064869*s[57])/594 + (77815475*s[58])/3564 - 
       (80820899*s[59])/3564 - (99698579*s[60])/792 + 
       (100329751*s[61])/16038 - 2*s[65] - 6*s[66] + 4*s[67] + 10*s[68] + 
       6*s[69] - 12*s[70] + 4*s[72] - 12*s[73] - 3*s[74] + 3*s[75] - 
       40*s[76] + 30*s[77] + 44*s[78] - 168*s[79] + (286*s[80])/3 - 
       792*s[82] - 144*s[85])*\[Zeta][3] + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^2*((-49*s[2])/4 - (355*s[3])/8 - (847*s[4])/2 - 
       (33761*s[5])/88 - (245903*s[6])/264 - (27427001*s[7])/3168 + 
       (109763*s[8])/198 + (1053155*s[9])/144 + (203615*s[10])/72 + 
       (9798421*s[11])/1056 + (212809*s[12])/22 + (17967145*s[13])/3168 + 
       (686557*s[14])/352 + (3550273*s[15])/288 + (24131753*s[16])/1584 + 
       (40695203*s[17])/3168 + (210319*s[18])/144 + (26647*s[19])/16 + 
       (28882529*s[20])/1584 + (62866625*s[21])/9504 - 
       (43043849*s[22])/9504 - (11029963*s[23])/1584 - 
       (48674839*s[24])/4752 + (979756757*s[25])/85536 - 
       (558073313*s[26])/85536 - (5*s[29])/2 + (5*s[30])/4 + (9*s[32])/4 - 
       (59*s[33])/16 - (37*s[34])/4 + s[35]/2 + (49*s[36])/6 + 
       (265*s[37])/6 - (569*s[38])/3 + (9505*s[39])/12 - (3909*s[40])/4 + 
       (3461*s[41])/4 - (2209*s[42])/2 - (130247*s[43])/132 + 
       (529147*s[44])/528 - (59545*s[45])/44 + (311138*s[46])/33 + 
       (123799*s[47])/1584 - (1312229*s[48])/1584 + (7321871*s[49])/1584 - 
       (256199*s[50])/33 - (1177541*s[51])/1584 - (777775*s[52])/1584 + 
       (4277771*s[53])/792 + (75425*s[54])/132 + (18587119*s[55])/528 + 
       (4446775*s[56])/528 + (15935*s[57])/88 + (58079881*s[58])/4752 - 
       (61535077*s[59])/4752 - (783793937*s[60])/9504 + 
       (92557981*s[61])/21384 - (3*s[65])/2 - 3*s[66] + 3*s[67] + 18*s[68] - 
       6*s[69] - 3*s[70] + 3*s[71] - s[72] - 3*s[73] + (7*s[74])/4 - 
       (7*s[75])/4 - 2*s[76] + (31*s[77])/2 + 9*s[78] - 102*s[79] + 
       (52*s[80])/3 - 498*s[82] + (3*s[83])/2 - 57*s[84] - 132*s[85])*
      \[Zeta][3] + HPL[{0, 1, 1, 1}, 1 - u]*(-10*s[2] - 71*s[3] - 
       (9219*s[4])/4 - (15405*s[5])/11 - (163567*s[6])/44 - 
       (2240575*s[7])/66 + (3567031*s[8])/1188 + (3087395*s[9])/108 + 
       (223243*s[10])/27 + (14946911*s[11])/396 + (8351267*s[12])/198 + 
       (10112141*s[13])/396 + (290267*s[14])/99 + (1567129*s[15])/36 + 
       (5576075*s[16])/99 + (4097498*s[17])/99 + (2058193*s[18])/324 + 
       (382892*s[19])/81 + (58882421*s[20])/891 + (21037658*s[21])/891 - 
       (15932368*s[22])/891 - (8469497*s[23])/198 - (64742081*s[24])/1782 + 
       (3123054433*s[25])/64152 - (1676554849*s[26])/64152 - s[30] - 
       2*s[31] - 9*s[32] + (51*s[33])/4 - 5*s[34] + 10*s[35] + 84*s[36] - 
       (464*s[37])/3 - 1310*s[38] + (10701*s[39])/2 - (11981*s[40])/2 + 
       (9259*s[41])/2 - (15505*s[42])/2 - (96651*s[43])/22 + 
       (52320*s[44])/11 - (150884*s[45])/33 + (2507779*s[46])/66 - 
       (23726*s[47])/11 - (1065*s[48])/22 + (218523*s[49])/11 - 
       (316992*s[50])/11 - (356849*s[51])/66 - (98579*s[52])/22 + 
       (1930117*s[53])/99 - (48652*s[54])/33 + (8118173*s[55])/66 + 
       (3298034*s[56])/99 - (26899423*s[57])/594 + (55600162*s[58])/891 - 
       (110447753*s[59])/1782 - (60744919*s[60])/198 + 
       (513573811*s[61])/32076 - 8*s[70] - 6*s[71] - 4*s[72] - 28*s[73] + 
       19*s[74] - 19*s[75] + 4*s[76] + 10*s[77] - 4*s[78] - 548*s[79] + 
       (620*s[80])/3 - 528*s[82] + 21*s[83] - 174*s[84] - 120*s[85])*
      \[Zeta][3] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      (-21*s[2] - (1325*s[3])/24 - (21545*s[4])/16 - (516425*s[5])/528 - 
       (220387*s[6])/88 - (71586205*s[7])/3168 + (1638025*s[8])/891 + 
       (24693149*s[9])/1296 + (7865935*s[10])/1296 + (236402257*s[11])/9504 + 
       (129414211*s[12])/4752 + (155634805*s[13])/9504 + 
       (28513627*s[14])/9504 + (25828679*s[15])/864 + 
       (181724471*s[16])/4752 + (279221149*s[17])/9504 + 
       (16130941*s[18])/3888 + (13150067*s[19])/3888 + 
       (1930499507*s[20])/42768 + (1400529871*s[21])/85536 - 
       (1017526313*s[22])/85536 - (120970441*s[23])/4752 - 
       (1061838439*s[24])/42768 + (24309829231*s[25])/769824 - 
       (13379431255*s[26])/769824 - s[30]/3 - 5*s[31] + s[32]/3 + 
       (10*s[33])/3 + (7*s[34])/3 + (50*s[35])/3 + (275*s[36])/6 - 
       (2717*s[37])/36 - (2210*s[38])/3 + (24493*s[39])/8 - 
       (82979*s[40])/24 + (65515*s[41])/24 - (105943*s[42])/24 - 
       (242459*s[43])/88 + (1565423*s[44])/528 - (2544247*s[45])/792 + 
       (9923927*s[46])/396 - (168089*s[47])/176 - (360761*s[48])/528 + 
       (6712237*s[49])/528 - (639205*s[50])/33 - (4767823*s[51])/1584 - 
       (1258303*s[52])/528 + (7886237*s[53])/594 - (13696*s[54])/99 + 
       (134149259*s[55])/1584 + (106681835*s[56])/4752 - 
       (19252337*s[57])/891 + (1663888579*s[58])/42768 - 
       (1676071303*s[59])/42768 - (1964578519*s[60])/9504 + 
       (2116993961*s[61])/192456 - 8*s[70] - s[71] - 10*s[72] - 4*s[73] + 
       (71*s[74])/6 - (71*s[75])/6 + 10*s[76] + (23*s[77])/3 - (14*s[78])/3 - 
       (908*s[79])/3 + (1567*s[80])/18 - 582*s[82] + (3*s[83])/2 - 
       109*s[84] - 108*s[85])*\[Zeta][3] + HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]*((-5*s[2])/12 - (217*s[3])/24 - (64585*s[4])/48 - 
       (231415*s[5])/264 - (392521*s[6])/176 - (204546077*s[7])/9504 + 
       (8406965*s[8])/4752 + (3925295*s[9])/216 + (1256179*s[10])/216 + 
       (74782435*s[11])/3168 + (40934951*s[12])/1584 + 
       (147129337*s[13])/9504 + (8382817*s[14])/3168 + (24899423*s[15])/864 + 
       (86677849*s[16])/2376 + (267467603*s[17])/9504 + (587297*s[18])/162 + 
       (4647347*s[19])/1296 + (611433245*s[20])/14256 + 
       (144183761*s[21])/9504 - (323682103*s[22])/28512 - 
       (112685833*s[23])/4752 - (344548649*s[24])/14256 + 
       (430693955*s[25])/14256 - (232531931*s[26])/14256 - s[29] - 
       (4*s[30])/3 + (14*s[31])/3 + (4*s[32])/3 + (81*s[33])/8 - 
       (52*s[34])/3 + (55*s[35])/2 + (619*s[36])/18 - (3625*s[37])/36 - 
       (2177*s[38])/3 + (8921*s[39])/3 - (61483*s[40])/18 + (16241*s[41])/6 - 
       (154327*s[42])/36 - (270661*s[43])/99 + (4618519*s[44])/1584 - 
       (2419499*s[45])/792 + (19148557*s[46])/792 - (3958985*s[47])/4752 - 
       (2999609*s[48])/4752 + (59383403*s[49])/4752 - (7489123*s[50])/396 - 
       (13779853*s[51])/4752 - (10944583*s[52])/4752 + 
       (30875255*s[53])/2376 - (28960*s[54])/99 + (14591635*s[55])/176 + 
       (11239277*s[56])/528 - (44126581*s[57])/2376 + 
       (523232291*s[58])/14256 - (535277177*s[59])/14256 - 
       (5758340471*s[60])/28512 + (438151003*s[61])/42768 - 2*s[65] - 
       6*s[66] + 5*s[67] + 13*s[68] + 7*s[69] - 5*s[72] - (32*s[73])/3 + 
       (39*s[74])/4 - (39*s[75])/4 + s[76] + (31*s[77])/6 + (55*s[78])/3 - 
       411*s[79] + (2387*s[80])/18 - 516*s[82] + (11*s[83])/4 - 
       (237*s[84])/2 - 100*s[85])*\[Zeta][3] + HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*((-49*s[2])/4 + (95*s[3])/24 - (64979*s[4])/48 - 
       (125989*s[5])/132 - (1222499*s[6])/528 - (209848445*s[7])/9504 + 
       (8258633*s[8])/4752 + (4048097*s[9])/216 + (640601*s[10])/108 + 
       (76705159*s[11])/3168 + (41824379*s[12])/1584 + 
       (150658309*s[13])/9504 + (9167377*s[14])/3168 + (25570703*s[15])/864 + 
       (88592869*s[16])/2376 + (273837767*s[17])/9504 + (627647*s[18])/162 + 
       (4483919*s[19])/1296 + (629521961*s[20])/14256 + 
       (150439789*s[21])/9504 - (333144967*s[22])/28512 - 
       (116867899*s[23])/4752 - (348765947*s[24])/14256 + 
       (1318443061*s[25])/42768 - (719969773*s[26])/42768 - 3*s[29] + 
       (5*s[30])/6 - (20*s[31])/3 + 4*s[32] - (15*s[33])/4 + (19*s[34])/6 + 
       (55*s[35])/2 + (619*s[36])/18 - (3625*s[37])/36 - (2177*s[38])/3 + 
       (8921*s[39])/3 - (61483*s[40])/18 + (16241*s[41])/6 - 
       (154327*s[42])/36 - (270661*s[43])/99 + (4618519*s[44])/1584 - 
       (2419499*s[45])/792 + (19148557*s[46])/792 - (3958985*s[47])/4752 - 
       (2999609*s[48])/4752 + (59383403*s[49])/4752 - (7489123*s[50])/396 - 
       (13779853*s[51])/4752 - (10944583*s[52])/4752 + 
       (30875255*s[53])/2376 - (28960*s[54])/99 + (14591635*s[55])/176 + 
       (11239277*s[56])/528 - (44126581*s[57])/2376 + 
       (523232291*s[58])/14256 - (535277177*s[59])/14256 - 
       (5758340471*s[60])/28512 + (438151003*s[61])/42768 - 2*s[65] - 
       6*s[66] + 5*s[67] + 13*s[68] + 7*s[69] - 5*s[72] - (32*s[73])/3 + 
       (39*s[74])/4 - (39*s[75])/4 + s[76] + (31*s[77])/6 + (55*s[78])/3 - 
       411*s[79] + (2387*s[80])/18 - 516*s[82] + (11*s[83])/4 - 
       (237*s[84])/2 - 100*s[85])*\[Zeta][3] + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*(20*s[2] - 61*s[3] - (1957*s[4])/2 - 
       (23677*s[5])/22 - (45949*s[6])/22 - (8312303*s[7])/396 + 
       (13721*s[8])/11 + (54076*s[9])/3 + 6603*s[10] + (3016565*s[11])/132 + 
       (1066785*s[12])/44 + (1420846*s[13])/99 + (297601*s[14])/66 + 
       (1053743*s[15])/36 + (14392255*s[16])/396 + (11738459*s[17])/396 + 
       (95158*s[18])/27 + (221461*s[19])/54 + (13106123*s[20])/297 + 
       (4823860*s[21])/297 - (732763*s[22])/66 - (3348451*s[23])/198 - 
       (4967323*s[24])/198 + (75438166*s[25])/2673 - (86334227*s[26])/5346 - 
       8*s[29] + 12*s[30] + 22*s[31] + (117*s[33])/2 - 38*s[34] - 
       (11*s[36])/3 - 67*s[37] - 684*s[38] + (8745*s[39])/4 - 
       (30391*s[40])/12 + (7921*s[41])/4 - (34787*s[42])/12 - 
       (309557*s[43])/132 + (604093*s[44])/264 - (55191*s[45])/22 + 
       (2457701*s[46])/132 - (180929*s[47])/792 - (979595*s[48])/792 + 
       (8370035*s[49])/792 - (484982*s[50])/33 - (1506619*s[51])/792 - 
       (1254139*s[52])/792 + (3874591*s[53])/396 + (18797*s[54])/33 + 
       (16915373*s[55])/264 + (12232073*s[56])/792 - (5976485*s[57])/594 + 
       (193596943*s[58])/7128 - (200749477*s[59])/7128 - 
       (771624497*s[60])/4752 + (485923855*s[61])/64152 - 4*s[65] - 
       10*s[66] + 8*s[67] + 24*s[68] + 12*s[69] - 10*s[70] + 3*s[71] + 
       12*s[72] - 24*s[73] - 6*s[74] + 6*s[75] - 34*s[76] + 24*s[77] + 
       56*s[78] - 256*s[79] + 90*s[80] - 494*s[82] - 96*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*(21*s[2] - (65*s[3])/2 - 
       (4107*s[4])/4 - (4174*s[5])/11 - (51521*s[6])/44 - 
       (9918619*s[7])/792 + (1295245*s[8])/1188 + (281591*s[9])/27 + 
       (161327*s[10])/54 + (11311753*s[11])/792 + (3232109*s[12])/198 + 
       (901103*s[13])/88 - (76799*s[14])/792 + (126445*s[15])/8 + 
       (678905*s[16])/33 + (11245295*s[17])/792 + (132151*s[18])/81 + 
       (853835*s[19])/324 + (82698005*s[20])/3564 + (54333751*s[21])/7128 - 
       (47234327*s[22])/7128 - (333887*s[23])/22 - (26166071*s[24])/1782 + 
       (613627115*s[25])/32076 - (302970911*s[26])/32076 + 16*s[30] + 
       12*s[31] + 6*s[32] + (9*s[33])/2 - 26*s[34] - (11*s[36])/3 - 
       67*s[37] - 684*s[38] + (8745*s[39])/4 - (30391*s[40])/12 + 
       (7921*s[41])/4 - (34787*s[42])/12 - (309557*s[43])/132 + 
       (604093*s[44])/264 - (55191*s[45])/22 + (2457701*s[46])/132 - 
       (180929*s[47])/792 - (979595*s[48])/792 + (8370035*s[49])/792 - 
       (484982*s[50])/33 - (1506619*s[51])/792 - (1254139*s[52])/792 + 
       (3874591*s[53])/396 + (18797*s[54])/33 + (16915373*s[55])/264 + 
       (12232073*s[56])/792 - (5976485*s[57])/594 + (193596943*s[58])/7128 - 
       (200749477*s[59])/7128 - (771624497*s[60])/4752 + 
       (485923855*s[61])/64152 - 4*s[65] - 10*s[66] + 8*s[67] + 24*s[68] + 
       12*s[69] - 10*s[70] + 3*s[71] + 12*s[72] - 24*s[73] - 6*s[74] + 
       6*s[75] - 34*s[76] + 24*s[77] + 56*s[78] - 256*s[79] + 90*s[80] - 
       494*s[82] - 96*s[85])*\[Zeta][3] + HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - u]*((-46*s[2])/3 - (67*s[3])/12 - (17971*s[4])/24 - 
       (7267*s[5])/12 - (12049*s[6])/8 - (498199*s[7])/36 + 
       (110657*s[8])/108 + (2537167*s[9])/216 + (858821*s[10])/216 + 
       (1088525*s[11])/72 + (588257*s[12])/36 + (233555*s[13])/24 + 
       (20815*s[14])/9 + (333713*s[15])/18 + (564899*s[16])/24 + 
       (1332691*s[17])/72 + (799615*s[18])/324 + (179303*s[19])/81 + 
       (18262565*s[20])/648 + (819379*s[21])/81 - (4738105*s[22])/648 - 
       (336061*s[23])/24 - (2517115*s[24])/162 + (27759983*s[25])/1458 - 
       (61267529*s[26])/5832 + s[30]/3 - (4*s[31])/3 + (10*s[32])/3 + 
       (61*s[33])/12 - (8*s[34])/3 + (52*s[35])/3 + (73*s[36])/3 - 
       (167*s[37])/3 - 411*s[38] + (19645*s[39])/12 - (22889*s[40])/12 + 
       (18275*s[41])/12 - (27863*s[42])/12 - (19333*s[43])/12 + 
       (6955*s[44])/4 - (4127*s[45])/2 + (60999*s[46])/4 - (2795*s[47])/9 - 
       (25517*s[48])/36 + (133753*s[49])/18 - (71855*s[50])/6 - 
       (19949*s[51])/12 - (11329*s[52])/9 + (32831*s[53])/4 + (112*s[54])/3 + 
       (1901095*s[55])/36 + (248849*s[56])/18 - (962935*s[57])/108 + 
       (7280045*s[58])/324 - (7346429*s[59])/324 - (13859179*s[60])/108 + 
       (19924925*s[61])/2916 - 8*s[70] + s[71] - (8*s[72])/3 + 8*s[73] + 
       (23*s[74])/3 - (23*s[75])/3 + (8*s[76])/3 + 4*s[77] + (8*s[78])/3 - 
       220*s[79] + (196*s[80])/3 - 408*s[82] - 10*s[83] - 124*s[84] - 
       96*s[85])*\[Zeta][3] + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      ((-149*s[2])/12 - (1469*s[3])/24 - (15145*s[4])/16 - 
       (182747*s[5])/264 - (951545*s[6])/528 - (16748845*s[7])/1056 + 
       (18391657*s[8])/14256 + (2162437*s[9])/162 + (2761883*s[10])/648 + 
       (165275509*s[11])/9504 + (90185065*s[12])/4752 + 
       (108161797*s[13])/9504 + (20998339*s[14])/9504 + 
       (18215291*s[15])/864 + (15929311*s[16])/594 + (197604691*s[17])/9504 + 
       (1427321*s[18])/486 + (9157127*s[19])/3888 + (1355706695*s[20])/
        42768 + (981154189*s[21])/85536 - (710907077*s[22])/85536 - 
       (85065385*s[23])/4752 - (745117639*s[24])/42768 + 
       (2126031455*s[25])/96228 - (2343628615*s[26])/192456 - s[30]/2 - 
       (4*s[31])/3 + s[32]/6 + (85*s[33])/12 - (13*s[34])/2 - s[35]/6 + 
       (479*s[36])/18 - (1771*s[37])/36 - (1041*s[38])/2 + (26197*s[39])/12 - 
       (89005*s[40])/36 + (5792*s[41])/3 - (114287*s[42])/36 - 
       (758591*s[43])/396 + (811733*s[44])/396 - (1778321*s[45])/792 + 
       (1540313*s[46])/88 - (218905*s[47])/297 - (176087*s[48])/594 + 
       (10321393*s[49])/1188 - (1327985*s[50])/99 - (2629157*s[51])/1188 - 
       (1050295*s[52])/594 + (7365353*s[53])/792 - (11437*s[54])/22 + 
       (11682779*s[55])/198 + (9377515*s[56])/594 - (56535671*s[57])/3564 + 
       (292638421*s[58])/10692 - (73597318*s[59])/2673 - 
       (2035633235*s[60])/14256 + (1484650061*s[61])/192456 - s[65]/6 - 
       (2*s[66])/3 + s[67]/3 - s[68] + (7*s[69])/3 + (7*s[70])/3 + s[71]/6 - 
       (23*s[72])/3 - (2*s[73])/3 + (37*s[74])/4 - (37*s[75])/4 + 
       (23*s[76])/3 - (11*s[77])/6 - (11*s[78])/3 - (671*s[79])/3 + 
       (1235*s[80])/18 - 385*s[82] + (5*s[83])/4 - (211*s[84])/2 - 92*s[85])*
      \[Zeta][3] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      ((-139*s[2])/12 - (829*s[3])/24 - (46057*s[4])/48 - (23185*s[5])/33 - 
       (924049*s[6])/528 - (148980395*s[7])/9504 + (18443635*s[8])/14256 + 
       (8587921*s[9])/648 + (2606045*s[10])/648 + (163807879*s[11])/9504 + 
       (89949655*s[12])/4752 + (107667287*s[13])/9504 + 
       (18545137*s[14])/9504 + (17835493*s[15])/864 + (15621341*s[16])/594 + 
       (63479035*s[17])/3168 + (2937523*s[18])/972 + (8203397*s[19])/3888 + 
       (1332618275*s[20])/42768 + (968161291*s[21])/85536 - 
       (705786515*s[22])/85536 - (90043361*s[23])/4752 - 
       (717204817*s[24])/42768 + (2112107603*s[25])/96228 - 
       (581400493*s[26])/48114 - s[29]/3 - (8*s[30])/3 - 7*s[31] + 
       (5*s[32])/2 - (61*s[33])/24 + (17*s[34])/3 - s[35]/6 + 
       (479*s[36])/18 - (1771*s[37])/36 - (1041*s[38])/2 + (26197*s[39])/12 - 
       (89005*s[40])/36 + (5792*s[41])/3 - (114287*s[42])/36 - 
       (758591*s[43])/396 + (811733*s[44])/396 - (1778321*s[45])/792 + 
       (1540313*s[46])/88 - (218905*s[47])/297 - (176087*s[48])/594 + 
       (10321393*s[49])/1188 - (1327985*s[50])/99 - (2629157*s[51])/1188 - 
       (1050295*s[52])/594 + (7365353*s[53])/792 - (11437*s[54])/22 + 
       (11682779*s[55])/198 + (9377515*s[56])/594 - (56535671*s[57])/3564 + 
       (292638421*s[58])/10692 - (73597318*s[59])/2673 - 
       (2035633235*s[60])/14256 + (1484650061*s[61])/192456 - s[65]/6 - 
       (2*s[66])/3 + s[67]/3 - s[68] + (7*s[69])/3 + (7*s[70])/3 + s[71]/6 - 
       (23*s[72])/3 - (2*s[73])/3 + (37*s[74])/4 - (37*s[75])/4 + 
       (23*s[76])/3 - (11*s[77])/6 - (11*s[78])/3 - (671*s[79])/3 + 
       (1235*s[80])/18 - 385*s[82] + (5*s[83])/4 - (211*s[84])/2 - 92*s[85])*
      \[Zeta][3] + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      ((-41*s[2])/2 - (347*s[3])/12 - (22573*s[4])/24 - (42917*s[5])/66 - 
       (19796*s[6])/11 - (9510287*s[7])/594 + (983513*s[8])/792 + 
       (485551*s[9])/36 + (314765*s[10])/72 + (27967195*s[11])/1584 + 
       (10225327*s[12])/528 + (27625339*s[13])/2376 + (895705*s[14])/396 + 
       (566935*s[15])/27 + (64193089*s[16])/2376 + (98037967*s[17])/4752 + 
       (970331*s[18])/324 + (764563*s[19])/324 + (228879323*s[20])/7128 + 
       (10367360*s[21])/891 - (20060405*s[22])/2376 - (84573697*s[23])/4752 - 
       (83787665*s[24])/4752 + (2869548941*s[25])/128304 - 
       (1583862041*s[26])/128304 - (2*s[30])/3 - (14*s[31])/3 + (9*s[32])/2 + 
       s[33]/2 - s[34]/3 - 2*s[35] + (314*s[36])/9 - (415*s[37])/9 - 
       (1562*s[38])/3 + (24869*s[39])/12 - (85427*s[40])/36 + 
       (22099*s[41])/12 - (107167*s[42])/36 - (740725*s[43])/396 + 
       (3210001*s[44])/1584 - (815887*s[45])/396 + (1618763*s[46])/99 - 
       (2938205*s[47])/4752 - (2407697*s[48])/4752 + (40384835*s[49])/4752 - 
       (4935373*s[50])/396 - (9876121*s[51])/4752 - (8025037*s[52])/4752 + 
       (10006465*s[53])/1188 - (126271*s[54])/396 + (28394689*s[55])/528 + 
       (2574235*s[56])/176 - (38412883*s[57])/2376 + (369072035*s[58])/
        14256 - (367732265*s[59])/14256 - (3831810425*s[60])/28512 + 
       (100711975*s[61])/14256 + s[65] + 2*s[66] - s[67] - 8*s[68] + s[69] + 
       3*s[70] + s[71]/2 - 6*s[72] + (46*s[73])/3 + 10*s[74] - 10*s[75] + 
       9*s[76] - (25*s[77])/3 - (35*s[78])/3 - 256*s[79] + (676*s[80])/9 - 
       388*s[82] - 7*s[83] - 138*s[84] - 88*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*((-61*s[2])/6 - (71*s[3])/12 - 
       (21047*s[4])/24 - (68399*s[5])/132 - (206015*s[6])/132 - 
       (63351589*s[7])/4752 + (1291399*s[8])/1188 + (2432557*s[9])/216 + 
       (353917*s[10])/108 + (1309871*s[11])/88 + (26298091*s[12])/1584 + 
       (48513167*s[13])/4752 + (740065*s[14])/528 + (7289311*s[15])/432 + 
       (52520857*s[16])/2376 + (38512229*s[17])/2376 + (261601*s[18])/108 + 
       (132887*s[19])/72 + (61655371*s[20])/2376 + (131557837*s[21])/14256 - 
       (100643533*s[22])/14256 - (76523875*s[23])/4752 - 
       (204545455*s[24])/14256 + (2461878601*s[25])/128304 - 
       (1318973659*s[26])/128304 + s[29] - (7*s[30])/3 - (13*s[31])/3 + 
       (29*s[32])/6 - (23*s[33])/4 + (17*s[34])/3 - 2*s[35] + (314*s[36])/9 - 
       (415*s[37])/9 - (1562*s[38])/3 + (24869*s[39])/12 - (85427*s[40])/36 + 
       (22099*s[41])/12 - (107167*s[42])/36 - (740725*s[43])/396 + 
       (3210001*s[44])/1584 - (815887*s[45])/396 + (1618763*s[46])/99 - 
       (2938205*s[47])/4752 - (2407697*s[48])/4752 + (40384835*s[49])/4752 - 
       (4935373*s[50])/396 - (9876121*s[51])/4752 - (8025037*s[52])/4752 + 
       (10006465*s[53])/1188 - (126271*s[54])/396 + (28394689*s[55])/528 + 
       (2574235*s[56])/176 - (38412883*s[57])/2376 + (369072035*s[58])/
        14256 - (367732265*s[59])/14256 - (3831810425*s[60])/28512 + 
       (100711975*s[61])/14256 + s[65] + 2*s[66] - s[67] - 8*s[68] + s[69] + 
       3*s[70] + s[71]/2 - 6*s[72] + (46*s[73])/3 + 10*s[74] - 10*s[75] + 
       9*s[76] - (25*s[77])/3 - (35*s[78])/3 - 256*s[79] + (676*s[80])/9 - 
       388*s[82] - 7*s[83] - 138*s[84] - 88*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*((37*s[2])/6 - (1169*s[3])/12 + 
       (9057*s[4])/8 + (15020*s[5])/33 + (376601*s[6])/264 + 
       (60601093*s[7])/4752 - (3507277*s[8])/2376 - (288490*s[9])/27 - 
       (201239*s[10])/108 - (23248769*s[11])/1584 - (3432367*s[12])/198 - 
       (52659785*s[13])/4752 + (1707583*s[14])/1584 - (6421123*s[15])/432 - 
       (23722607*s[16])/1188 - (59195269*s[17])/4752 - (346715*s[18])/162 - 
       (888829*s[19])/648 - (155928109*s[20])/7128 - (35346565*s[21])/4752 + 
       (96616595*s[22])/14256 + (13085933*s[23])/594 + 
       (44645357*s[24])/3564 - (142868245*s[25])/7128 + 
       (70260769*s[26])/7128 - 4*s[29] + 14*s[31] + s[32]/3 + (57*s[33])/4 - 
       (106*s[34])/3 + 4*s[35] - (572*s[36])/9 + (1594*s[37])/9 + 
       (2300*s[38])/3 - (37027*s[39])/12 + (121025*s[40])/36 - 
       (29887*s[41])/12 + (162895*s[42])/36 + (907279*s[43])/396 - 
       (500123*s[44])/198 + (400343*s[45])/198 - (7343075*s[46])/396 + 
       (463724*s[47])/297 - (950533*s[48])/1188 - (3037388*s[49])/297 + 
       (2703359*s[50])/198 + (3605389*s[51])/1188 + (3114247*s[52])/1188 - 
       (5572715*s[53])/594 + (263717*s[54])/198 - (22967173*s[55])/396 - 
       (1605850*s[56])/99 + (12259991*s[57])/396 - (29262331*s[58])/891 + 
       (117363853*s[59])/3564 + (515554597*s[60])/3564 - 
       (477181801*s[61])/64152 - s[65] - 2*s[66] + 6*s[67] + 10*s[68] - 
       2*s[69] - 4*s[70] + 3*s[71] + 18*s[72] - (26*s[73])/3 - (89*s[74])/6 + 
       (89*s[75])/6 - 30*s[76] - 3*s[77] + 30*s[78] + 272*s[79] - 
       (580*s[80])/9 - 490*s[82] + s[83]/2 + 21*s[84] - 88*s[85])*
      \[Zeta][3] + HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((55*s[2])/6 + (1477*s[3])/12 + (10777*s[4])/8 + (59635*s[5])/66 + 
       (545921*s[6])/264 + (95334139*s[7])/4752 - (154879*s[8])/88 - 
       (608897*s[9])/36 - (19683*s[10])/4 - (35050963*s[11])/1584 - 
       (810844*s[12])/33 - (69181115*s[13])/4752 - (2893663*s[14])/1584 - 
       (11488561*s[15])/432 - (39930863*s[16])/1188 - 
       (119057275*s[17])/4752 - (1307039*s[18])/324 - (1638287*s[19])/648 - 
       (283269167*s[20])/7128 - (208131857*s[21])/14256 + 
       (16706389*s[22])/1584 + (8051521*s[23])/297 + (24971737*s[24])/1188 - 
       (908437619*s[25])/32076 + (503128379*s[26])/32076 + 2*s[29] + 
       9*s[30] + 10*s[31] + (7*s[32])/3 + (27*s[33])/2 - (67*s[34])/3 + 
       4*s[35] - (572*s[36])/9 + (1594*s[37])/9 + (2300*s[38])/3 - 
       (37027*s[39])/12 + (121025*s[40])/36 - (29887*s[41])/12 + 
       (162895*s[42])/36 + (907279*s[43])/396 - (500123*s[44])/198 + 
       (400343*s[45])/198 - (7343075*s[46])/396 + (463724*s[47])/297 - 
       (950533*s[48])/1188 - (3037388*s[49])/297 + (2703359*s[50])/198 + 
       (3605389*s[51])/1188 + (3114247*s[52])/1188 - (5572715*s[53])/594 + 
       (263717*s[54])/198 - (22967173*s[55])/396 - (1605850*s[56])/99 + 
       (12259991*s[57])/396 - (29262331*s[58])/891 + (117363853*s[59])/3564 + 
       (515554597*s[60])/3564 - (477181801*s[61])/64152 - s[65] - 2*s[66] + 
       6*s[67] + 10*s[68] - 2*s[69] - 4*s[70] + 3*s[71] + 18*s[72] - 
       (26*s[73])/3 - (89*s[74])/6 + (89*s[75])/6 - 30*s[76] - 3*s[77] + 
       30*s[78] + 272*s[79] - (580*s[80])/9 - 490*s[82] + s[83]/2 + 
       21*s[84] - 88*s[85])*\[Zeta][3] + HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((187*s[2])/6 + (607*s[3])/12 + (10347*s[4])/8 + 
       (48449*s[5])/33 + (748775*s[6])/264 + (122203117*s[7])/4752 - 
       (1485401*s[8])/792 - (797491*s[9])/36 - (235495*s[10])/36 - 
       (44914105*s[11])/1584 - (1024625*s[12])/33 - (88246985*s[13])/4752 - 
       (6608725*s[14])/1584 - (14639695*s[15])/432 - (25428643*s[16])/594 - 
       (154660177*s[17])/4752 - (1749131*s[18])/324 - (1929269*s[19])/648 - 
       (373268441*s[20])/7128 - (286241387*s[21])/14256 + 
       (64758565*s[22])/4752 + (35801827*s[23])/1188 + (8141912*s[24])/297 - 
       (566791141*s[25])/16038 + (329129077*s[26])/16038 + 8*s[29] + s[30] + 
       16*s[31] - (5*s[32])/3 - 15*s[33] - (67*s[34])/3 + 7*s[35] - 
       (290*s[36])/9 + (1699*s[37])/9 + (3131*s[38])/3 - (45055*s[39])/12 + 
       (147221*s[40])/36 - (35857*s[41])/12 + (192409*s[42])/36 + 
       (1170019*s[43])/396 - (301945*s[44])/99 + (278194*s[45])/99 - 
       (9309233*s[46])/396 + (1029349*s[47])/594 - (558631*s[48])/1188 - 
       (7561813*s[49])/594 + (1681726*s[50])/99 + (4386277*s[51])/1188 + 
       (3946597*s[52])/1188 - (3411970*s[53])/297 + (206662*s[54])/99 - 
       (28757803*s[55])/396 - (4101043*s[56])/198 + (43976893*s[57])/1188 - 
       (24632453*s[58])/594 + (16182379*s[59])/396 + (660938521*s[60])/3564 - 
       (617653235*s[61])/64152 + 2*s[65] + 4*s[66] - 8*s[67] + 16*s[68] - 
       28*s[69] - 14*s[70] + 2*s[72] - (26*s[73])/3 - (29*s[74])/6 + 
       (29*s[75])/6 - 22*s[76] + 39*s[77] + 2*s[78] + 252*s[79] - 
       (514*s[80])/9 - 490*s[82] - (17*s[83])/2 + 75*s[84] - 88*s[85])*
      \[Zeta][3] + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((-131*s[2])/6 + (2149*s[3])/12 + (13595*s[4])/8 + (1156*s[5])/3 + 
       (44545*s[6])/24 + (6893993*s[7])/432 - (141403*s[8])/72 - 
       (233015*s[9])/18 - (81439*s[10])/36 - (2684513*s[11])/144 - 
       (67450*s[12])/3 - (6222889*s[13])/432 + (328999*s[14])/144 - 
       (7777837*s[15])/432 - (668095*s[16])/27 - (6203621*s[17])/432 - 
       (441079*s[18])/162 - (1313675*s[19])/648 - (17261221*s[20])/648 - 
       (11057383*s[21])/1296 + (3582377*s[22])/432 + (3114221*s[23])/108 + 
       (861029*s[24])/54 - (151743047*s[25])/5832 + (71872475*s[26])/5832 - 
       4*s[29] + 6*s[30] - 2*s[31] + (16*s[32])/3 + (5*s[33])/4 - 
       (28*s[34])/3 + 7*s[35] - (290*s[36])/9 + (1699*s[37])/9 + 
       (3131*s[38])/3 - (45055*s[39])/12 + (147221*s[40])/36 - 
       (35857*s[41])/12 + (192409*s[42])/36 + (1170019*s[43])/396 - 
       (301945*s[44])/99 + (278194*s[45])/99 - (9309233*s[46])/396 + 
       (1029349*s[47])/594 - (558631*s[48])/1188 - (7561813*s[49])/594 + 
       (1681726*s[50])/99 + (4386277*s[51])/1188 + (3946597*s[52])/1188 - 
       (3411970*s[53])/297 + (206662*s[54])/99 - (28757803*s[55])/396 - 
       (4101043*s[56])/198 + (43976893*s[57])/1188 - (24632453*s[58])/594 + 
       (16182379*s[59])/396 + (660938521*s[60])/3564 - 
       (617653235*s[61])/64152 + 2*s[65] + 4*s[66] - 8*s[67] + 16*s[68] - 
       28*s[69] - 14*s[70] + 2*s[72] - (26*s[73])/3 - (29*s[74])/6 + 
       (29*s[75])/6 - 22*s[76] + 39*s[77] + 2*s[78] + 252*s[79] - 
       (514*s[80])/9 - 490*s[82] - (17*s[83])/2 + 75*s[84] - 88*s[85])*
      \[Zeta][3] + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      ((-32*s[2])/3 - (707*s[3])/12 - (31547*s[4])/24 - (85837*s[5])/88 - 
       (203473*s[6])/88 - (51693863*s[7])/2376 + (2093063*s[8])/1188 + 
       (3970241*s[9])/216 + (159026*s[10])/27 + (37764371*s[11])/1584 + 
       (41113823*s[12])/1584 + (36906097*s[13])/2376 + (1115855*s[14])/396 + 
       (3155101*s[15])/108 + (87791695*s[16])/2376 + (136677505*s[17])/4752 + 
       (2504201*s[18])/648 + (1123379*s[19])/324 + (310222309*s[20])/7128 + 
       (18655661*s[21])/1188 - (20396803*s[22])/1782 - 
       (115216909*s[23])/4752 - (342654149*s[24])/14256 + 
       (81032521*s[25])/2673 - (88823447*s[26])/5346 - s[29] - (10*s[30])/3 - 
       (7*s[31])/3 - (5*s[32])/3 + (47*s[33])/4 + (14*s[34])/3 + 37*s[35] + 
       (596*s[36])/9 - (1913*s[37])/18 - (2146*s[38])/3 + (11623*s[39])/4 - 
       (116699*s[40])/36 + (30397*s[41])/12 - (150721*s[42])/36 - 
       (995869*s[43])/396 + (4267297*s[44])/1584 - (285148*s[45])/99 + 
       (9004373*s[46])/396 - (4821005*s[47])/4752 - (1109825*s[48])/4752 + 
       (55081439*s[49])/4752 - (6961087*s[50])/396 - (13513981*s[51])/4752 - 
       (10952989*s[52])/4752 + (14429377*s[53])/1188 - (89713*s[54])/396 + 
       (40655345*s[55])/528 + (31853647*s[56])/1584 - (16208603*s[57])/792 + 
       (505333243*s[58])/14256 - (513073249*s[59])/14256 - 
       (5321320973*s[60])/28512 + (1250266757*s[61])/128304 - 8*s[70] - 
       2*s[71] - 10*s[72] - (14*s[73])/3 + (27*s[74])/2 - (27*s[75])/2 + 
       10*s[76] + (23*s[77])/3 - (14*s[78])/3 - 278*s[79] + (658*s[80])/9 - 
       318*s[82] + (11*s[83])/4 - (213*s[84])/2 - 52*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*(-18*s[2] + (253*s[3])/12 - 
       (28687*s[4])/24 - (222721*s[5])/264 - (176431*s[6])/88 - 
       (91145887*s[7])/4752 + (1315199*s[8])/792 + (292451*s[9])/18 + 
       (349433*s[10])/72 + (16750187*s[11])/792 + (4108681*s[12])/176 + 
       (66713579*s[13])/4752 + (3064147*s[14])/1584 + (10881247*s[15])/432 + 
       (76179067*s[16])/2376 + (7167943*s[17])/297 + (2262667*s[18])/648 + 
       (1770881*s[19])/648 + (269154329*s[20])/7128 + 
       (193635197*s[21])/14256 - (48200413*s[22])/4752 - 
       (110165515*s[23])/4752 - (98172227*s[24])/4752 + 
       (434493649*s[25])/16038 - (942157813*s[26])/64152 + s[29] - 
       (11*s[30])/3 - (23*s[31])/3 + 2*s[32] + 6*s[33] + (47*s[34])/3 + 
       37*s[35] + (596*s[36])/9 - (1913*s[37])/18 - (2146*s[38])/3 + 
       (11623*s[39])/4 - (116699*s[40])/36 + (30397*s[41])/12 - 
       (150721*s[42])/36 - (995869*s[43])/396 + (4267297*s[44])/1584 - 
       (285148*s[45])/99 + (9004373*s[46])/396 - (4821005*s[47])/4752 - 
       (1109825*s[48])/4752 + (55081439*s[49])/4752 - (6961087*s[50])/396 - 
       (13513981*s[51])/4752 - (10952989*s[52])/4752 + 
       (14429377*s[53])/1188 - (89713*s[54])/396 + (40655345*s[55])/528 + 
       (31853647*s[56])/1584 - (16208603*s[57])/792 + 
       (505333243*s[58])/14256 - (513073249*s[59])/14256 - 
       (5321320973*s[60])/28512 + (1250266757*s[61])/128304 - 8*s[70] - 
       2*s[71] - 10*s[72] - (14*s[73])/3 + (27*s[74])/2 - (27*s[75])/2 + 
       10*s[76] + (23*s[77])/3 - (14*s[78])/3 - 278*s[79] + (658*s[80])/9 - 
       318*s[82] + (11*s[83])/4 - (213*s[84])/2 - 52*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*((-73*s[2])/12 - (1655*s[3])/24 - 
       (42809*s[4])/48 - (8177*s[5])/12 - (77221*s[6])/48 - 
       (4184075*s[7])/288 + (512531*s[8])/432 + (330269*s[9])/27 + 
       (418399*s[10])/108 + (4562261*s[11])/288 + (1236625*s[12])/72 + 
       (981689*s[13])/96 + (588821*s[14])/288 + (5638123*s[15])/288 + 
       (295507*s[16])/12 + (5570479*s[17])/288 + (443705*s[18])/162 + 
       (2767445*s[19])/1296 + (37716577*s[20])/1296 + (27342887*s[21])/2592 - 
       (19709671*s[22])/2592 - (134059*s[23])/8 - (5101523*s[24])/324 + 
       (117272909*s[25])/5832 - (8094589*s[26])/729 - 2*s[29] - (7*s[30])/6 + 
       (2*s[31])/3 + (11*s[32])/6 + (77*s[33])/6 - (7*s[34])/6 + 
       (107*s[35])/6 + (187*s[36])/6 - (409*s[37])/6 - (2669*s[38])/6 + 
       1923*s[39] - (12889*s[40])/6 + (20105*s[41])/12 - (8450*s[42])/3 - 
       (52574*s[43])/33 + (19436*s[44])/11 - (21629*s[45])/11 + 
       (168746*s[46])/11 - (63307*s[47])/88 - (17177*s[48])/264 + 
       (1960075*s[49])/264 - (778765*s[50])/66 - (1538389*s[51])/792 - 
       (50861*s[52])/33 + (6564895*s[53])/792 - (63449*s[54])/132 + 
       (41471197*s[55])/792 + (10995011*s[56])/792 - (16072633*s[57])/1188 + 
       (85106063*s[58])/3564 - (171947173*s[59])/7128 - 
       (197021069*s[60])/1584 + (864976043*s[61])/128304 + s[67] + s[68] - 
       s[69] + 6*s[70] - s[71] - (17*s[72])/3 + 9*s[73] + (137*s[74])/12 - 
       (137*s[75])/12 + (11*s[76])/3 - (21*s[77])/2 - (4*s[78])/3 - 
       194*s[79] + (191*s[80])/3 - 316*s[82] + (11*s[83])/4 - (197*s[84])/2 - 
       36*s[85])*\[Zeta][3] + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      ((-109*s[2])/12 + (901*s[3])/24 - (36983*s[4])/48 - (83977*s[5])/132 - 
       (241687*s[6])/176 - (41663531*s[7])/3168 + (1797407*s[8])/1584 + 
       (401383*s[9])/36 + (240769*s[10])/72 + (15188047*s[11])/1056 + 
       (1390027*s[12])/88 + (29674555*s[13])/3168 + (567141*s[14])/352 + 
       (1670687*s[15])/96 + (17454331*s[16])/792 + (53437691*s[17])/3168 + 
       (542555*s[18])/216 + (751157*s[19])/432 + (124274297*s[20])/4752 + 
       (30010903*s[21])/3168 - (66005689*s[22])/9504 - (1574575*s[23])/99 - 
       (16638293*s[24])/1188 + (260879159*s[25])/14256 - 
       (143161283*s[26])/14256 + s[29] - (14*s[30])/3 - (10*s[31])/3 + 
       (4*s[32])/3 + (233*s[33])/24 + (13*s[34])/3 + (107*s[35])/6 + 
       (187*s[36])/6 - (409*s[37])/6 - (2669*s[38])/6 + 1923*s[39] - 
       (12889*s[40])/6 + (20105*s[41])/12 - (8450*s[42])/3 - 
       (52574*s[43])/33 + (19436*s[44])/11 - (21629*s[45])/11 + 
       (168746*s[46])/11 - (63307*s[47])/88 - (17177*s[48])/264 + 
       (1960075*s[49])/264 - (778765*s[50])/66 - (1538389*s[51])/792 - 
       (50861*s[52])/33 + (6564895*s[53])/792 - (63449*s[54])/132 + 
       (41471197*s[55])/792 + (10995011*s[56])/792 - (16072633*s[57])/1188 + 
       (85106063*s[58])/3564 - (171947173*s[59])/7128 - 
       (197021069*s[60])/1584 + (864976043*s[61])/128304 + s[67] + s[68] - 
       s[69] + 6*s[70] - s[71] - (17*s[72])/3 + 9*s[73] + (137*s[74])/12 - 
       (137*s[75])/12 + (11*s[76])/3 - (21*s[77])/2 - (4*s[78])/3 - 
       194*s[79] + (191*s[80])/3 - 316*s[82] + (11*s[83])/4 - (197*s[84])/2 - 
       36*s[85])*\[Zeta][3] + HPL[{0, 0, 1, 1}, 1 - u]*
      (-26*s[2] - (127*s[3])/3 - 1020*s[4] - (56825*s[5])/66 - 
       (118507*s[6])/66 - (20170687*s[7])/1188 + (2435557*s[8])/1782 + 
       (1166752*s[9])/81 + (647089*s[10])/162 + (22913089*s[11])/1188 + 
       (12984379*s[12])/594 + (5354087*s[13])/396 + (1460125*s[14])/1188 + 
       (756931*s[15])/36 + (909112*s[16])/33 + (23005667*s[17])/1188 + 
       (719573*s[18])/243 + (1342739*s[19])/486 + (174504437*s[20])/5346 + 
       (124467865*s[21])/10692 - (95826251*s[22])/10692 - 
       (1963990*s[23])/99 - (50911370*s[24])/2673 + (1201865699*s[25])/
        48114 - (634272689*s[26])/48114 - (16*s[29])/3 + 6*s[30] + 
       (4*s[31])/3 - (28*s[32])/3 + (69*s[33])/2 - 18*s[34] - 8*s[35] - 
       (220*s[36])/9 - (1334*s[37])/9 - (2924*s[38])/3 + 2810*s[39] - 
       (26378*s[40])/9 + (6016*s[41])/3 - (33058*s[42])/9 - 
       (251506*s[43])/99 + (446789*s[44])/198 - (251303*s[45])/99 + 
       (632245*s[46])/33 - (653767*s[47])/594 - (227539*s[48])/594 + 
       (6419557*s[49])/594 - (1363828*s[50])/99 - (1475171*s[51])/594 - 
       (1384697*s[52])/594 + (910247*s[53])/99 - (9070*s[54])/11 + 
       (3897299*s[55])/66 + (9452867*s[56])/594 - (20199229*s[57])/891 + 
       (169182655*s[58])/5346 - (165716593*s[59])/5346 - 
       (563995093*s[60])/3564 + (368889121*s[61])/48114 + 32*s[63] - 
       (8*s[65])/3 - (32*s[66])/3 + 16*s[67] - (136*s[68])/3 + 
       (184*s[69])/3 - 48*s[70] - (4*s[71])/3 + 8*s[72] + (56*s[73])/3 - 
       (26*s[74])/3 + (26*s[75])/3 + (8*s[76])/3 - 28*s[77] + (176*s[78])/3 - 
       (272*s[79])/3 + (644*s[80])/9 - 52*s[82] + 10*s[83] - 36*s[84] - 
       32*s[85])*\[Zeta][3] + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((-77*s[2])/6 - (387*s[3])/4 + (5277*s[4])/8 + (8039*s[5])/66 + 
       (177649*s[6])/264 + (12386695*s[7])/1584 - (4571723*s[8])/7128 - 
       (1077541*s[9])/162 - (619843*s[10])/324 - (43411871*s[11])/4752 - 
       (6350159*s[12])/594 - (31645277*s[13])/4752 + (693505*s[14])/4752 - 
       (4015939*s[15])/432 - (7373923*s[16])/594 - (37391609*s[17])/4752 - 
       (414839*s[18])/486 - (3510655*s[19])/1944 - (307732159*s[20])/21384 - 
       (188659841*s[21])/42768 + (182353357*s[22])/42768 + 
       (9533173*s[23])/1188 + (25145227*s[24])/2673 - 
       (2363778139*s[25])/192456 + (1119339643*s[26])/192456 - (28*s[29])/3 + 
       12*s[30] - (44*s[31])/3 + 5*s[32] - (31*s[33])/4 - (4*s[34])/3 - 
       50*s[35] - (142*s[36])/3 + (2203*s[37])/18 + 603*s[38] - 
       (29455*s[39])/12 + (10805*s[40])/4 - (8499*s[41])/4 + 
       (42371*s[42])/12 + (93091*s[43])/44 - (305357*s[44])/132 + 
       (264599*s[45])/396 - (2325229*s[46])/198 + (311173*s[47])/396 + 
       (42677*s[48])/198 - (3820051*s[49])/396 + (582125*s[50])/66 + 
       (501577*s[51])/198 + (188348*s[52])/99 - (1619905*s[53])/297 + 
       (64481*s[54])/198 - (3052612*s[55])/99 - (8014397*s[56])/1188 + 
       (71957909*s[57])/3564 - (104773385*s[58])/5346 + 
       (52766488*s[59])/2673 + (115907059*s[60])/1188 - 
       (282727639*s[61])/96228 - (17*s[65])/3 - (50*s[66])/3 + 22*s[67] - 
       (34*s[68])/3 + (190*s[69])/3 - 6*s[70] + (17*s[71])/3 + 14*s[72] - 
       12*s[73] - (31*s[74])/2 + (31*s[75])/2 + (140*s[76])/3 - 29*s[77] - 
       (28*s[78])/3 + (898*s[79])/3 - (1907*s[80])/9 + 18*s[82] + 
       (21*s[83])/2 - 15*s[84] - 24*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*((-143*s[2])/6 + (319*s[3])/4 + 
       (12297*s[4])/8 - (9557*s[5])/132 + (367219*s[6])/264 + 
       (18650125*s[7])/1584 - (10599401*s[8])/7128 - (1494709*s[9])/162 - 
       (311969*s[10])/162 - (67211921*s[11])/4752 - (20520751*s[12])/1188 - 
       (54209087*s[13])/4752 + (12436903*s[14])/4752 - (5604457*s[15])/432 - 
       (21989345*s[16])/1188 - (49931111*s[17])/4752 - (216631*s[18])/243 - 
       (5720461*s[19])/1944 - (386983873*s[20])/21384 - 
       (194656739*s[21])/42768 + (261318547*s[22])/42768 + 
       (10713557*s[23])/594 + (144253885*s[24])/10692 - 
       (3950069845*s[25])/192456 + (1639831081*s[26])/192456 - (52*s[29])/3 + 
       13*s[30] - (86*s[31])/3 + 3*s[32] - (43*s[33])/2 + (71*s[34])/3 - 
       50*s[35] - (142*s[36])/3 + (2203*s[37])/18 + 603*s[38] - 
       (29455*s[39])/12 + (10805*s[40])/4 - (8499*s[41])/4 + 
       (42371*s[42])/12 + (93091*s[43])/44 - (305357*s[44])/132 + 
       (264599*s[45])/396 - (2325229*s[46])/198 + (311173*s[47])/396 + 
       (42677*s[48])/198 - (3820051*s[49])/396 + (582125*s[50])/66 + 
       (501577*s[51])/198 + (188348*s[52])/99 - (1619905*s[53])/297 + 
       (64481*s[54])/198 - (3052612*s[55])/99 - (8014397*s[56])/1188 + 
       (71957909*s[57])/3564 - (104773385*s[58])/5346 + 
       (52766488*s[59])/2673 + (115907059*s[60])/1188 - 
       (282727639*s[61])/96228 - (17*s[65])/3 - (50*s[66])/3 + 22*s[67] - 
       (34*s[68])/3 + (190*s[69])/3 - 6*s[70] + (17*s[71])/3 + 14*s[72] - 
       12*s[73] - (31*s[74])/2 + (31*s[75])/2 + (140*s[76])/3 - 29*s[77] - 
       (28*s[78])/3 + (898*s[79])/3 - (1907*s[80])/9 + 18*s[82] + 
       (21*s[83])/2 - 15*s[84] - 24*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      ((65*s[2])/12 + (139*s[3])/4 - (691*s[4])/8 + (8905*s[5])/132 + 
       (1811*s[6])/22 + (284035*s[7])/792 + (46193*s[8])/792 - 
       (10435*s[9])/36 - (5167*s[10])/18 - (24517*s[11])/66 - 
       (137501*s[12])/528 - (174205*s[13])/1584 - (301585*s[14])/528 - 
       (1907*s[15])/3 - (1235833*s[16])/1584 - (772645*s[17])/792 - 
       (7363*s[18])/72 - (368*s[19])/3 - (492049*s[20])/396 - 
       (2983241*s[21])/4752 + (774545*s[22])/4752 - (687083*s[23])/792 + 
       (1744879*s[24])/2376 - (4518619*s[25])/21384 + (3905315*s[26])/10692 - 
       (3*s[30])/2 + s[31] + 3*s[32] + (79*s[33])/24 + (5*s[34])/6 + 
       s[35]/6 + (259*s[36])/18 + (77*s[37])/72 - (65*s[38])/4 + 
       (1205*s[39])/12 - (2765*s[40])/36 + (2221*s[41])/24 - 
       (14435*s[42])/72 + (12653*s[43])/396 - (10643*s[44])/1584 + 
       (226813*s[45])/1584 - (227677*s[46])/528 - (665081*s[47])/4752 + 
       (1363099*s[48])/4752 - (779683*s[49])/4752 + (34118*s[50])/99 - 
       (871933*s[51])/4752 - (557209*s[52])/4752 - (58759*s[53])/264 - 
       (3538*s[54])/33 - (1122107*s[55])/528 - (2827535*s[56])/4752 - 
       (7126165*s[57])/3564 - (2373047*s[58])/21384 + (4108417*s[59])/42768 + 
       (80282645*s[60])/14256 - (288418007*s[61])/769824 + s[65]/2 + s[66] - 
       s[67] + s[68] - 5*s[69] + 4*s[70] + (5*s[71])/2 - 5*s[72] - 
       (3*s[73])/2 + (67*s[74])/12 - (67*s[75])/12 - 4*s[76] + s[77]/2 - 
       s[78]/2 - (7*s[79])/3 - (649*s[80])/36 + 173*s[82] + s[83]/4 - 
       (67*s[84])/2 + 2*s[85])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*((19*s[2])/6 + (69*s[3])/4 - (27*s[4])/2 + 
       (4137*s[5])/176 + (38213*s[6])/528 + (2636857*s[7])/4752 - 
       (343169*s[8])/14256 - (576337*s[9])/1296 - (334769*s[10])/1296 - 
       (3026203*s[11])/4752 - (815993*s[12])/1188 - (230449*s[13])/528 - 
       (1323955*s[14])/4752 - (54283*s[15])/72 - (846407*s[16])/792 - 
       (1056575*s[17])/1188 - (101549*s[18])/3888 - (54448*s[19])/243 - 
       (27531305*s[20])/21384 - (9172547*s[21])/21384 + 
       (12296333*s[22])/42768 - (164869*s[23])/528 + (41692253*s[24])/42768 - 
       (596853647*s[25])/769824 + (324456767*s[26])/769824 + s[29] - 
       (7*s[30])/6 + (3*s[32])/2 - (21*s[33])/4 + (49*s[34])/6 + s[35]/6 + 
       (259*s[36])/18 + (77*s[37])/72 - (65*s[38])/4 + (1205*s[39])/12 - 
       (2765*s[40])/36 + (2221*s[41])/24 - (14435*s[42])/72 + 
       (12653*s[43])/396 - (10643*s[44])/1584 + (226813*s[45])/1584 - 
       (227677*s[46])/528 - (665081*s[47])/4752 + (1363099*s[48])/4752 - 
       (779683*s[49])/4752 + (34118*s[50])/99 - (871933*s[51])/4752 - 
       (557209*s[52])/4752 - (58759*s[53])/264 - (3538*s[54])/33 - 
       (1122107*s[55])/528 - (2827535*s[56])/4752 - (7126165*s[57])/3564 - 
       (2373047*s[58])/21384 + (4108417*s[59])/42768 + 
       (80282645*s[60])/14256 - (288418007*s[61])/769824 + s[65]/2 + s[66] - 
       s[67] + s[68] - 5*s[69] + 4*s[70] + (5*s[71])/2 - 5*s[72] - 
       (3*s[73])/2 + (67*s[74])/12 - (67*s[75])/12 - 4*s[76] + s[77]/2 - 
       s[78]/2 - (7*s[79])/3 - (649*s[80])/36 + 173*s[82] + s[83]/4 - 
       (67*s[84])/2 + 2*s[85])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*(s[2]/6 + (235*s[3])/4 + (2083*s[4])/8 + 
       (3227*s[5])/11 + (143353*s[6])/264 + (29051071*s[7])/4752 - 
       (2815195*s[8])/7128 - (1665325*s[9])/324 - (700109*s[10])/324 - 
       (31315903*s[11])/4752 - (16372447*s[12])/2376 - (6096085*s[13])/1584 - 
       (7040197*s[14])/4752 - (1265971*s[15])/144 - (1088711*s[16])/99 - 
       (44272589*s[17])/4752 - (1033313*s[18])/972 - (2537651*s[19])/1944 - 
       (284798681*s[20])/21384 - (205942939*s[21])/42768 + 
       (137214155*s[22])/42768 + (3714703*s[23])/792 + 
       (160638073*s[24])/21384 - (192714532*s[25])/24057 + 
       (221076437*s[26])/48114 + 2*s[29] - (8*s[30])/3 - 4*s[31] + 3*s[32] - 
       (57*s[33])/4 + (44*s[34])/3 + (8*s[35])/3 + (80*s[36])/9 + 
       (317*s[37])/18 + 19*s[38] - (2155*s[39])/12 + (9673*s[40])/36 - 
       (2305*s[41])/12 + (9113*s[42])/36 + (5593*s[43])/36 - 
       (22787*s[44])/72 + (10733*s[45])/36 - (13657*s[46])/6 - 
       (6941*s[47])/216 + (42481*s[48])/216 - (257779*s[49])/216 + 
       (18238*s[50])/9 + (17999*s[51])/216 + (12017*s[52])/216 - 
       (7771*s[53])/6 - (2455*s[54])/6 - (69231*s[55])/8 - 
       (417329*s[56])/216 + (10189*s[57])/81 - (5795707*s[58])/1944 + 
       (6082213*s[59])/1944 + (27600007*s[60])/1296 - 
       (18180205*s[61])/17496 + 2*s[65] + 6*s[66] - 6*s[67] - 12*s[68] - 
       12*s[69] + 2*s[70] + 5*s[71] - 6*s[72] + 6*s[73] + (5*s[74])/6 - 
       (5*s[75])/6 + 6*s[76] - 3*s[77] - 18*s[78] + (308*s[79])/3 - 
       (727*s[80])/9 + 338*s[82] - 2*s[83] + 20*s[84] + 8*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((-53*s[2])/6 - (203*s[3])/4 - (525*s[4])/8 - (13919*s[5])/132 - 
       (24347*s[6])/88 - (338295*s[7])/176 + (5769*s[8])/88 + 1640*s[9] + 
       (7943*s[10])/12 + (1045477*s[11])/528 + (168503*s[12])/88 + 
       (583409*s[13])/528 + (379583*s[14])/528 + (414785*s[15])/144 + 
       (440557*s[16])/132 + (1627495*s[17])/528 + (16481*s[18])/36 + 
       (17099*s[19])/72 + (3385565*s[20])/792 + (914849*s[21])/528 - 
       (507829*s[22])/528 - (350395*s[23])/264 - (1656563*s[24])/792 + 
       (4075867*s[25])/1782 - (2779273*s[26])/1782 + 8*s[29] + 3*s[30] - 
       2*s[31] - s[32] - (10*s[33])/3 + (61*s[34])/3 + (8*s[35])/3 + 
       (80*s[36])/9 + (317*s[37])/18 + 19*s[38] - (2155*s[39])/12 + 
       (9673*s[40])/36 - (2305*s[41])/12 + (9113*s[42])/36 + 
       (5593*s[43])/36 - (22787*s[44])/72 + (10733*s[45])/36 - 
       (13657*s[46])/6 - (6941*s[47])/216 + (42481*s[48])/216 - 
       (257779*s[49])/216 + (18238*s[50])/9 + (17999*s[51])/216 + 
       (12017*s[52])/216 - (7771*s[53])/6 - (2455*s[54])/6 - 
       (69231*s[55])/8 - (417329*s[56])/216 + (10189*s[57])/81 - 
       (5795707*s[58])/1944 + (6082213*s[59])/1944 + (27600007*s[60])/1296 - 
       (18180205*s[61])/17496 + 2*s[65] + 6*s[66] - 6*s[67] - 12*s[68] - 
       12*s[69] + 2*s[70] + 5*s[71] - 6*s[72] + 6*s[73] + (5*s[74])/6 - 
       (5*s[75])/6 + 6*s[76] - 3*s[77] - 18*s[78] + (308*s[79])/3 - 
       (727*s[80])/9 + 338*s[82] - 2*s[83] + 20*s[84] + 8*s[85])*\[Zeta][3] + 
     HPL[{0, 0, 1, 1}, 1 - v]*(-40*s[2] + (185*s[3])/3 - 718*s[4] - 
       (35536*s[5])/33 - (59123*s[6])/33 - (19936303*s[7])/1188 + 
       (1164398*s[8])/891 + (2368211*s[9])/162 + (332651*s[10])/81 + 
       (21938179*s[11])/1188 + (5998448*s[12])/297 + (536779*s[13])/44 + 
       (2973337*s[14])/1188 + (263747*s[15])/12 + (2760619*s[16])/99 + 
       (25168547*s[17])/1188 + (1614265*s[18])/486 + (949127*s[19])/486 + 
       (180679799*s[20])/5346 + (137986195*s[21])/10692 - 
       (95524403*s[22])/10692 - (646435*s[23])/33 - (47778122*s[24])/2673 + 
       (2225903491*s[25])/96228 - (1270328707*s[26])/96228 + (8*s[29])/3 + 
       10*s[30] - (68*s[31])/3 + (14*s[32])/3 + (69*s[33])/2 + 14*s[34] - 
       12*s[35] + (302*s[36])/9 - (737*s[37])/9 - (2474*s[38])/3 + 
       (4903*s[39])/2 - (48211*s[40])/18 + (11429*s[41])/6 - 
       (58835*s[42])/18 - (413957*s[43])/198 + (803929*s[44])/396 - 
       (674617*s[45])/198 + (235731*s[46])/11 - (1119227*s[47])/1188 - 
       (25013*s[48])/1188 + (11109161*s[49])/1188 - (1615036*s[50])/99 - 
       (2558365*s[51])/1188 - (2477479*s[52])/1188 + (373391*s[53])/33 - 
       (5242*s[54])/33 + (9950977*s[55])/132 + (24405055*s[56])/1188 - 
       (16606867*s[57])/891 + (368407115*s[58])/10692 - 
       (370707695*s[59])/10692 - (1254290273*s[60])/7128 + 
       (243852425*s[61])/24057 - (20*s[65])/3 - (56*s[66])/3 + 24*s[67] - 
       (64*s[68])/3 + (220*s[69])/3 - 24*s[70] + (20*s[71])/3 + 8*s[72] - 
       (64*s[73])/3 - (14*s[74])/3 + (14*s[75])/3 + (164*s[76])/3 - 
       24*s[77] - (64*s[78])/3 - (128*s[79])/3 - (1222*s[80])/9 + 228*s[82] + 
       10*s[83] - 36*s[84] + 16*s[85])*\[Zeta][3] + 
     HPL[{0, 0, 1, 1}, 1 - w]*(2*s[2] - (904*s[3])/3 - (2237*s[4])/2 - 
       (88871*s[5])/66 - (68834*s[6])/33 - (6689860*s[7])/297 + 
       (1361489*s[8])/891 + (1564747*s[9])/81 + (1033753*s[10])/162 + 
       (14515049*s[11])/594 + (15547189*s[12])/594 + (1502654*s[13])/99 + 
       (2186045*s[14])/594 + (280876*s[15])/9 + (2537269*s[16])/66 + 
       (18144871*s[17])/594 + (1177325*s[18])/243 + (752911*s[19])/243 + 
       (126184402*s[20])/2673 + (47938465*s[21])/2673 - 
       (63341791*s[22])/5346 - (5197949*s[23])/198 - (130520011*s[24])/5346 + 
       (1455478187*s[25])/48114 - (849318755*s[26])/48114 - (52*s[29])/3 + 
       2*s[30] - (80*s[31])/3 - (64*s[32])/3 - (45*s[33])/2 + 42*s[34] - 
       12*s[35] + (302*s[36])/9 - (737*s[37])/9 - (2474*s[38])/3 + 
       (4903*s[39])/2 - (48211*s[40])/18 + (11429*s[41])/6 - 
       (58835*s[42])/18 - (413957*s[43])/198 + (803929*s[44])/396 - 
       (674617*s[45])/198 + (235731*s[46])/11 - (1119227*s[47])/1188 - 
       (25013*s[48])/1188 + (11109161*s[49])/1188 - (1615036*s[50])/99 - 
       (2558365*s[51])/1188 - (2477479*s[52])/1188 + (373391*s[53])/33 - 
       (5242*s[54])/33 + (9950977*s[55])/132 + (24405055*s[56])/1188 - 
       (16606867*s[57])/891 + (368407115*s[58])/10692 - 
       (370707695*s[59])/10692 - (1254290273*s[60])/7128 + 
       (243852425*s[61])/24057 - (20*s[65])/3 - (56*s[66])/3 + 24*s[67] - 
       (64*s[68])/3 + (220*s[69])/3 - 24*s[70] + (20*s[71])/3 + 8*s[72] - 
       (64*s[73])/3 - (14*s[74])/3 + (14*s[75])/3 + (164*s[76])/3 - 
       24*s[77] - (64*s[78])/3 - (128*s[79])/3 - (1222*s[80])/9 + 228*s[82] + 
       10*s[83] - 36*s[84] + 16*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*((8*s[2])/3 + (123*s[3])/4 - 
       (71*s[4])/8 + (3049*s[5])/66 + (11389*s[6])/88 + (3003379*s[7])/4752 - 
       (28411*s[8])/7128 - (41122*s[9])/81 - (22022*s[10])/81 - 
       (3158389*s[11])/4752 - (185624*s[12])/297 - (549401*s[13])/1584 - 
       (1853257*s[14])/4752 - (131671*s[15])/144 - (303053*s[16])/264 - 
       (5308433*s[17])/4752 - (360661*s[18])/1944 - (73201*s[19])/972 - 
       (32732537*s[20])/21384 - (28598365*s[21])/42768 + 
       (12961367*s[22])/42768 + (116933*s[23])/792 + (8424923*s[24])/10692 - 
       (135030635*s[25])/192456 + (13267369*s[26])/24057 - (5*s[30])/3 + 
       (8*s[34])/3 + (29*s[35])/3 + (109*s[36])/18 - (425*s[37])/36 - 
       10*s[38] + (213*s[39])/8 - (1345*s[40])/72 + (105*s[41])/8 - 
       (3473*s[42])/72 + (27457*s[43])/792 - (20615*s[44])/1584 + 
       (114701*s[45])/792 - (84683*s[46])/132 - (314807*s[47])/4752 + 
       (727135*s[48])/4752 - (619405*s[49])/4752 + (46412*s[50])/99 - 
       (168127*s[51])/4752 - (114331*s[52])/4752 - (70775*s[53])/198 + 
       (5873*s[54])/132 - (4071401*s[55])/1584 - (3964535*s[56])/4752 - 
       (2936113*s[57])/3564 - (29163235*s[58])/42768 + 
       (26553559*s[59])/42768 + (159155965*s[60])/28512 - 
       (11747773*s[61])/24057 + (4*s[74])/3 - (4*s[75])/3 - 3*s[76] - 
       (64*s[79])/3 + (67*s[80])/18 + 164*s[82] + 32*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*((8*s[2])/3 + 18*s[3] - 
       (115*s[4])/12 + (13043*s[5])/264 + (10201*s[6])/88 + 
       (484043*s[7])/792 - (54409*s[8])/2376 - (108569*s[9])/216 - 
       (53035*s[10])/216 - (500165*s[11])/792 - (487015*s[12])/792 - 
       (28219*s[13])/88 - (146827*s[14])/396 - (3451*s[15])/4 - 
       (150575*s[16])/132 - (851077*s[17])/792 - (28735*s[18])/162 - 
       (39413*s[19])/648 - (10562615*s[20])/7128 - (4338881*s[21])/7128 + 
       (1071995*s[22])/3564 + (29123*s[23])/132 + (5250121*s[24])/7128 - 
       (87745495*s[25])/128304 + (63579451*s[26])/128304 + (23*s[33])/12 + 
       (16*s[34])/3 + (29*s[35])/3 + (109*s[36])/18 - (425*s[37])/36 - 
       10*s[38] + (213*s[39])/8 - (1345*s[40])/72 + (105*s[41])/8 - 
       (3473*s[42])/72 + (27457*s[43])/792 - (20615*s[44])/1584 + 
       (114701*s[45])/792 - (84683*s[46])/132 - (314807*s[47])/4752 + 
       (727135*s[48])/4752 - (619405*s[49])/4752 + (46412*s[50])/99 - 
       (168127*s[51])/4752 - (114331*s[52])/4752 - (70775*s[53])/198 + 
       (5873*s[54])/132 - (4071401*s[55])/1584 - (3964535*s[56])/4752 - 
       (2936113*s[57])/3564 - (29163235*s[58])/42768 + 
       (26553559*s[59])/42768 + (159155965*s[60])/28512 - 
       (11747773*s[61])/24057 + (4*s[74])/3 - (4*s[75])/3 - 3*s[76] - 
       (64*s[79])/3 + (67*s[80])/18 + 164*s[82] + 32*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*((8*s[2])/3 + 18*s[3] - 35*s[4] + 
       (1333*s[5])/33 + (5677*s[6])/132 + (870743*s[7])/2376 + 
       (31439*s[8])/1782 - (95281*s[9])/324 - (42211*s[10])/162 - 
       (409933*s[11])/1188 - (71564*s[12])/297 - (28009*s[13])/396 - 
       (106165*s[14])/297 - (50873*s[15])/72 - (79007*s[16])/99 - 
       (2281783*s[17])/2376 - (134485*s[18])/1944 - (284567*s[19])/1944 - 
       (11672047*s[20])/10692 - (9389747*s[21])/21384 + 
       (1864385*s[22])/10692 - (43771*s[23])/99 + (13973359*s[24])/21384 - 
       (57799913*s[25])/192456 + (26474785*s[26])/96228 - (8*s[30])/3 + 
       (8*s[34])/3 + (32*s[35])/3 + (56*s[36])/9 - (253*s[37])/18 - 
       24*s[38] + (299*s[39])/3 - (881*s[40])/9 + (227*s[41])/3 - 
       (2969*s[42])/18 - (3701*s[43])/198 + (7375*s[44])/396 + 
       (11980*s[45])/99 - (7335*s[46])/22 - (33404*s[47])/297 + 
       (50614*s[48])/297 + (7441*s[49])/2376 + (66859*s[50])/198 - 
       (286487*s[51])/2376 - (138769*s[52])/1188 - (108893*s[53])/396 - 
       (20539*s[54])/132 - (209314*s[55])/99 - (1049755*s[56])/2376 - 
       (7901143*s[57])/3564 + (3075433*s[58])/21384 - (1629079*s[59])/21384 + 
       (57290795*s[60])/14256 - (32069047*s[61])/96228 + (4*s[74])/3 - 
       (4*s[75])/3 - (64*s[79])/3 + (32*s[80])/9 + 207*s[82] + 32*s[85])*
      \[Zeta][3] + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
      ((8*s[2])/3 + 18*s[3] - 46*s[4] + (3403*s[5])/66 + (6667*s[6])/132 + 
       (284843*s[7])/792 + (1955*s[8])/99 - (10931*s[9])/36 - 
       (4703*s[10])/18 - (42583*s[11])/132 - (27449*s[12])/132 - 
       (31741*s[13])/792 - (57137*s[14])/132 - (5533*s[15])/8 - 
       (162403*s[16])/198 - (789869*s[17])/792 - (733*s[18])/8 - 
       (8183*s[19])/72 - (304745*s[20])/264 - (141622*s[21])/297 + 
       (102821*s[22])/594 - (48083*s[23])/99 + (1420505*s[24])/2376 - 
       (5271791*s[25])/21384 + (5761859*s[26])/21384 + (8*s[33])/3 + 
       (16*s[34])/3 + (32*s[35])/3 + (56*s[36])/9 - (253*s[37])/18 - 
       24*s[38] + (299*s[39])/3 - (881*s[40])/9 + (227*s[41])/3 - 
       (2969*s[42])/18 - (3701*s[43])/198 + (7375*s[44])/396 + 
       (11980*s[45])/99 - (7335*s[46])/22 - (33404*s[47])/297 + 
       (50614*s[48])/297 + (7441*s[49])/2376 + (66859*s[50])/198 - 
       (286487*s[51])/2376 - (138769*s[52])/1188 - (108893*s[53])/396 - 
       (20539*s[54])/132 - (209314*s[55])/99 - (1049755*s[56])/2376 - 
       (7901143*s[57])/3564 + (3075433*s[58])/21384 - (1629079*s[59])/21384 + 
       (57290795*s[60])/14256 - (32069047*s[61])/96228 + (4*s[74])/3 - 
       (4*s[75])/3 - (64*s[79])/3 + (32*s[80])/9 + 207*s[82] + 32*s[85])*
      \[Zeta][3] + Omega2[v, w, u]*(-s[2] - (7*s[3])/2 - 62*s[4] - 
       (975*s[5])/22 - (1460*s[6])/11 - (457727*s[7])/792 + 
       (35734*s[8])/297 + (50165*s[9])/108 - (3458*s[10])/27 + 
       (539239*s[11])/792 + (347311*s[12])/396 + (488723*s[13])/792 - 
       (228953*s[14])/792 + (36715*s[15])/72 + (272707*s[16])/396 + 
       (45713*s[17])/264 + (73933*s[18])/324 - (63913*s[19])/324 + 
       (2225441*s[20])/3564 + (2740921*s[21])/7128 - (2020193*s[22])/7128 - 
       (465037*s[23])/198 - (152789*s[24])/1782 + (63443605*s[25])/64152 - 
       (37888573*s[26])/64152 + 2*s[29] - 3*s[30] - 4*s[31] - s[32] - 
       (7*s[33])/4 + 15*s[34] + 2*s[35] + (74*s[36])/3 - 22*s[37] - 
       80*s[38] + 279*s[39] - (683*s[40])/3 + 123*s[41] - (1276*s[42])/3 - 
       (4243*s[43])/33 + (10675*s[44])/132 - (403*s[45])/11 + 
       (23758*s[46])/33 - (116951*s[47])/396 + (166453*s[48])/396 + 
       (136397*s[49])/396 - (6649*s[50])/33 - (126991*s[51])/396 - 
       (127615*s[52])/396 + (57733*s[53])/198 - (13955*s[54])/33 + 
       (49283*s[55])/44 + (276863*s[56])/396 - (2825167*s[57])/594 + 
       (8273737*s[58])/3564 - (8132977*s[59])/3564 - (5335907*s[60])/2376 + 
       (4090235*s[61])/16038 + 2*s[65] + 4*s[66] - 4*s[67] - 16*s[68] + 
       4*s[70] - 4*s[72] + 12*s[73] + 3*s[74] - 3*s[75] + 8*s[76] - 
       10*s[77] - 20*s[78] + 48*s[79] - 40*s[80] + 280*s[82] + 48*s[85])*
      \[Zeta][3] + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      (10*s[2] + 22*s[3] + 141*s[4] + (5605*s[5])/22 + (5851*s[6])/11 + 
       (551599*s[7])/132 - (18313*s[8])/66 - (21563*s[9])/6 - 
       (3713*s[10])/3 - (96587*s[11])/22 - (199821*s[12])/44 - 
       (347819*s[13])/132 - (55175*s[14])/44 - (71027*s[15])/12 - 
       (236216*s[16])/33 - (202129*s[17])/33 - (8542*s[18])/9 - 
       (3776*s[19])/9 - (1777723*s[20])/198 - (463765*s[21])/132 + 
       (859211*s[22])/396 + (530419*s[23])/132 + (1799549*s[24])/396 - 
       (521545*s[25])/99 + (326833*s[26])/99 + 2*s[29] + 2*s[31] - 2*s[32] + 
       s[33] + 6*s[34] + 8*s[35] + 12*s[36] + 2*s[37] + 80*s[38] - 
       302*s[39] + 382*s[40] - 298*s[41] + 436*s[42] + (4198*s[43])/11 - 
       (3518*s[44])/11 + (8289*s[45])/11 - (48621*s[46])/11 + 
       (2995*s[47])/66 + (14479*s[48])/66 - (92101*s[49])/66 + 
       (37205*s[50])/11 + (22375*s[51])/66 + (9520*s[52])/33 - 
       (82540*s[53])/33 + (5480*s[54])/11 - (1110545*s[55])/66 - 
       (107565*s[56])/22 + (26858*s[57])/33 - (1261987*s[58])/198 + 
       (1266391*s[59])/198 + (14614321*s[60])/396 - (159667*s[61])/66 + 
       2*s[65] + 4*s[66] - 8*s[67] + 8*s[68] - 16*s[69] - 4*s[70] - 2*s[71] + 
       4*s[74] - 4*s[75] - 4*s[76] + 12*s[77] - 8*s[78] + 64*s[79] - 
       16*s[80] + 216*s[82] - 6*s[83] + 36*s[84] + 48*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*((-7*s[2])/2 + (523*s[3])/4 + 
       (11019*s[4])/8 + (8044*s[5])/11 + (187069*s[6])/88 + 
       (30310757*s[7])/1584 - (3925619*s[8])/2376 - (432059*s[9])/27 - 
       (493279*s[10])/108 - (34057175*s[11])/1584 - (9609577*s[12])/396 - 
       (7847803*s[13])/528 - (2010467*s[14])/1584 - (388571*s[15])/16 - 
       (1389387*s[16])/44 - (35729545*s[17])/1584 - (281860*s[18])/81 - 
       (1837255*s[19])/648 - (262863871*s[20])/7128 - 
       (186305549*s[21])/14256 + (143388985*s[22])/14256 + 
       (3230963*s[23])/132 + (37123973*s[24])/1782 - (1794368893*s[25])/
        64152 + (954241573*s[26])/64152 + 4*s[30] - 2*s[31] + 5*s[32] + 
       (7*s[33])/4 + 3*s[35] - (62*s[36])/3 + 90*s[37] + 874*s[38] - 
       (12479*s[39])/4 + (42173*s[40])/12 - (10775*s[41])/4 + 
       (52111*s[42])/12 + (382891*s[43])/132 - (97360*s[44])/33 + 
       (65133*s[45])/22 - (3097327*s[46])/132 + (174511*s[47])/198 + 
       (320741*s[48])/396 - (2555563*s[49])/198 + (1170689*s[50])/66 + 
       (1160479*s[51])/396 + (993409*s[52])/396 - (2369011*s[53])/198 + 
       (37963*s[54])/66 - (3378333*s[55])/44 - (4025851*s[56])/198 + 
       (27483047*s[57])/1188 - (66288713*s[58])/1782 + 
       (133340761*s[59])/3564 + (115755089*s[60])/594 - 
       (629267699*s[61])/64152 + s[65] - 2*s[67] + 4*s[68] - 6*s[69] + 
       4*s[70] - 3*s[71] - 2*s[72] - 2*s[73] - s[74]/2 + s[75]/2 + 8*s[76] + 
       13*s[77] - 10*s[78] + 292*s[79] - 104*s[80] + 280*s[82] - 9*s[83] + 
       54*s[84] + 48*s[85])*\[Zeta][3] + HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*((51*s[2])/2 + (261*s[3])/4 + (10547*s[4])/8 + 
       (22491*s[5])/22 + (234221*s[6])/88 + (4023915*s[7])/176 - 
       (4096811*s[8])/2376 - (2084225*s[9])/108 - (666049*s[10])/108 - 
       (40149389*s[11])/1584 - (11006113*s[12])/396 - (26891147*s[13])/1584 - 
       (5281685*s[14])/1584 - (4326361*s[15])/144 - (15271559*s[16])/396 - 
       (46757231*s[17])/1584 - (1282891*s[18])/324 - (2437261*s[19])/648 - 
       (324958069*s[20])/7128 - (236522795*s[21])/14256 + 
       (171421039*s[22])/14256 + (9407125*s[23])/396 + 
       (46195247*s[24])/1782 - (258077723*s[25])/8019 + 
       (284765131*s[26])/16038 + 2*s[29] - 5*s[30] - 6*s[31] - 3*s[32] - 
       (57*s[33])/2 + 19*s[34] + 3*s[35] - (62*s[36])/3 + 90*s[37] + 
       874*s[38] - (12479*s[39])/4 + (42173*s[40])/12 - (10775*s[41])/4 + 
       (52111*s[42])/12 + (382891*s[43])/132 - (97360*s[44])/33 + 
       (65133*s[45])/22 - (3097327*s[46])/132 + (174511*s[47])/198 + 
       (320741*s[48])/396 - (2555563*s[49])/198 + (1170689*s[50])/66 + 
       (1160479*s[51])/396 + (993409*s[52])/396 - (2369011*s[53])/198 + 
       (37963*s[54])/66 - (3378333*s[55])/44 - (4025851*s[56])/198 + 
       (27483047*s[57])/1188 - (66288713*s[58])/1782 + 
       (133340761*s[59])/3564 + (115755089*s[60])/594 - 
       (629267699*s[61])/64152 + s[65] - 2*s[67] + 4*s[68] - 6*s[69] + 
       4*s[70] - 3*s[71] - 2*s[72] - 2*s[73] - s[74]/2 + s[75]/2 + 8*s[76] + 
       13*s[77] - 10*s[78] + 292*s[79] - 104*s[80] + 280*s[82] - 9*s[83] + 
       54*s[84] + 48*s[85])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*((173*s[2])/6 + (1297*s[3])/12 - (3921*s[4])/8 + 
       (37745*s[5])/132 + (10993*s[6])/88 - (145723*s[7])/4752 + 
       (3226313*s[8])/7128 - (20263*s[9])/324 - (379103*s[10])/324 + 
       (2952023*s[11])/4752 + (4754879*s[12])/2376 + (7866643*s[13])/4752 - 
       (13523047*s[14])/4752 - (857047*s[15])/432 - (1705085*s[16])/1188 - 
       (6764321*s[17])/1584 - (100759*s[18])/486 - (676589*s[19])/1944 - 
       (64598195*s[20])/21384 - (87409249*s[21])/42768 - 
       (5067523*s[22])/42768 - (15447775*s[23])/2376 + 
       (25411069*s[24])/21384 + (430373545*s[25])/192456 + 
       (36472619*s[26])/192456 + 2*s[29] - (26*s[30])/3 + 8*s[31] + 
       (4*s[32])/3 + (49*s[33])/4 - (2*s[34])/3 + (110*s[35])/3 + 
       (92*s[36])/3 - (1175*s[37])/18 - (907*s[38])/3 + (12451*s[39])/12 - 
       (13795*s[40])/12 + (10765*s[41])/12 - (18335*s[42])/12 - 
       (28639*s[43])/44 + (24865*s[44])/33 - (143557*s[45])/396 + 
       (453517*s[46])/99 - (73607*s[47])/132 + (26617*s[48])/66 + 
       (120467*s[49])/44 - (110405*s[50])/33 - (77903*s[51])/66 - 
       (44883*s[52])/44 + (2327753*s[53])/1188 - (61013*s[54])/99 + 
       (2343703*s[55])/198 + (4442365*s[56])/1188 - (46661557*s[57])/3564 + 
       (51502423*s[58])/5346 - (24299084*s[59])/2673 - 
       (40776163*s[60])/1188 + (66565153*s[61])/48114 - 3*s[65] - 8*s[66] + 
       10*s[67] + 10*s[68] + 18*s[69] + 2*s[70] + 4*s[71] + 6*s[72] - 
       (62*s[73])/3 + (11*s[74])/2 - (11*s[75])/2 + 2*s[76] - 5*s[77] + 
       22*s[78] - (568*s[79])/3 + (223*s[80])/9 + 512*s[82] + 2*s[83] - 
       72*s[84] + 64*s[85])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*((5*s[2])/6 + (283*s[3])/12 - (3421*s[4])/8 - 
       (4509*s[5])/11 - (203167*s[6])/264 - (37382033*s[7])/4752 + 
       (1063757*s[8])/2376 + (748079*s[9])/108 + (58519*s[10])/27 + 
       (13571203*s[11])/1584 + (7280831*s[12])/792 + (26260477*s[13])/4752 + 
       (2213377*s[14])/1584 + (4563707*s[15])/432 + (15541909*s[16])/1188 + 
       (48313403*s[17])/4752 + (260881*s[18])/162 + (609899*s[19])/648 + 
       (115888661*s[20])/7128 + (29349865*s[21])/4752 - 
       (60619195*s[22])/14256 - (20172499*s[23])/2376 - 
       (59849777*s[24])/7128 + (225866959*s[25])/21384 - 
       (130982659*s[26])/21384 - 10*s[29] + 3*s[30] - 8*s[31] - 
       (11*s[32])/3 + (29*s[33])/3 + 19*s[34] + (110*s[35])/3 + 
       (92*s[36])/3 - (1175*s[37])/18 - (907*s[38])/3 + (12451*s[39])/12 - 
       (13795*s[40])/12 + (10765*s[41])/12 - (18335*s[42])/12 - 
       (28639*s[43])/44 + (24865*s[44])/33 - (143557*s[45])/396 + 
       (453517*s[46])/99 - (73607*s[47])/132 + (26617*s[48])/66 + 
       (120467*s[49])/44 - (110405*s[50])/33 - (77903*s[51])/66 - 
       (44883*s[52])/44 + (2327753*s[53])/1188 - (61013*s[54])/99 + 
       (2343703*s[55])/198 + (4442365*s[56])/1188 - (46661557*s[57])/3564 + 
       (51502423*s[58])/5346 - (24299084*s[59])/2673 - 
       (40776163*s[60])/1188 + (66565153*s[61])/48114 - 3*s[65] - 8*s[66] + 
       10*s[67] + 10*s[68] + 18*s[69] + 2*s[70] + 4*s[71] + 6*s[72] - 
       (62*s[73])/3 + (11*s[74])/2 - (11*s[75])/2 + 2*s[76] - 5*s[77] + 
       22*s[78] - (568*s[79])/3 + (223*s[80])/9 + 512*s[82] + 2*s[83] - 
       72*s[84] + 64*s[85])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*((16*s[2])/3 - (89*s[3])/3 - 643*s[4] - 
       (11397*s[5])/44 - (48691*s[6])/66 - (2233460*s[7])/297 + 
       (206296*s[8])/297 + (342301*s[9])/54 + (186331*s[10])/108 + 
       (6621515*s[11])/792 + (7418585*s[12])/792 + (3382259*s[13])/594 + 
       (37511*s[14])/198 + (1064405*s[15])/108 + (14837521*s[16])/1188 + 
       (21515617*s[17])/2376 + (449327*s[18])/324 + (165209*s[19])/162 + 
       (25544141*s[20])/1782 + (1006931*s[21])/198 - (14214319*s[22])/3564 - 
       (26171347*s[23])/2376 - (55279109*s[24])/7128 + 
       (58475063*s[25])/5346 - (61828897*s[26])/10692 - 2*s[29] - 2*s[31] + 
       s[32]/3 + (11*s[33])/3 + 18*s[34] + (71*s[35])/3 + 34*s[36] - 
       (1175*s[37])/18 - (919*s[38])/3 + (3826*s[39])/3 - (4106*s[40])/3 + 
       (6317*s[41])/6 - (11627*s[42])/6 - (25208*s[43])/33 + 
       (81523*s[44])/88 - (142819*s[45])/396 + (2144473*s[46])/396 - 
       (604649*s[47])/792 + (547315*s[48])/792 + (2713307*s[49])/792 - 
       (257219*s[50])/66 - (1068313*s[51])/792 - (899785*s[52])/792 + 
       (3008309*s[53])/1188 - (61331*s[54])/99 + (11554681*s[55])/792 + 
       (10350647*s[56])/2376 - (56572009*s[57])/3564 + 
       (243082513*s[58])/21384 - (240296005*s[59])/21384 - 
       (6832693*s[60])/176 + (39768653*s[61])/24057 + 2*s[66] - 2*s[67] + 
       2*s[68] - 4*s[69] + 6*s[70] + s[71] - 8*s[72] + (4*s[73])/3 + 
       12*s[74] - 12*s[75] + 8*s[76] + 2*s[77] - 12*s[78] - (472*s[79])/3 + 
       (205*s[80])/9 + 554*s[82] - s[83] - 42*s[84] + 88*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      ((19*s[2])/3 + (415*s[3])/3 - (841*s[4])/2 + (3031*s[5])/66 - 
       (5549*s[6])/44 - (4102283*s[7])/2376 + (863111*s[8])/1782 + 
       (121244*s[9])/81 - (204833*s[10])/324 + (2780267*s[11])/1188 + 
       (8363291*s[12])/2376 + (5854811*s[13])/2376 - (4489313*s[14])/2376 + 
       (168817*s[15])/216 + (2055535*s[16])/1188 - (137333*s[17])/132 + 
       (154991*s[18])/486 - (331723*s[19])/972 + (5709301*s[20])/5346 + 
       (1076179*s[21])/21384 - (22008485*s[22])/21384 - 
       (19227709*s[23])/2376 - (8261951*s[24])/21384 + 
       (751403611*s[25])/192456 - (259506523*s[26])/192456 + 2*s[29] - 
       (32*s[30])/3 - 6*s[31] + (13*s[32])/3 - (3*s[33])/2 + (64*s[34])/3 + 
       (71*s[35])/3 + 34*s[36] - (1175*s[37])/18 - (919*s[38])/3 + 
       (3826*s[39])/3 - (4106*s[40])/3 + (6317*s[41])/6 - (11627*s[42])/6 - 
       (25208*s[43])/33 + (81523*s[44])/88 - (142819*s[45])/396 + 
       (2144473*s[46])/396 - (604649*s[47])/792 + (547315*s[48])/792 + 
       (2713307*s[49])/792 - (257219*s[50])/66 - (1068313*s[51])/792 - 
       (899785*s[52])/792 + (3008309*s[53])/1188 - (61331*s[54])/99 + 
       (11554681*s[55])/792 + (10350647*s[56])/2376 - (56572009*s[57])/3564 + 
       (243082513*s[58])/21384 - (240296005*s[59])/21384 - 
       (6832693*s[60])/176 + (39768653*s[61])/24057 + 2*s[66] - 2*s[67] + 
       2*s[68] - 4*s[69] + 6*s[70] + s[71] - 8*s[72] + (4*s[73])/3 + 
       12*s[74] - 12*s[75] + 8*s[76] + 2*s[77] - 12*s[78] - (472*s[79])/3 + 
       (205*s[80])/9 + 554*s[82] - s[83] - 42*s[84] + 88*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*((-9*s[2])/2 - (205*s[3])/4 + 
       (3393*s[4])/8 + (3200*s[5])/11 + (69959*s[6])/88 + 
       (3990043*s[7])/528 - (970961*s[8])/2376 - (717443*s[9])/108 - 
       (229339*s[10])/108 - (13127639*s[11])/1584 - (886876*s[12])/99 - 
       (8789213*s[13])/1584 - (2144891*s[14])/1584 - (1461571*s[15])/144 - 
       (1252964*s[16])/99 - (15466541*s[17])/1584 - (361441*s[18])/324 - 
       (850387*s[19])/648 - (110038003*s[20])/7128 - (76598045*s[21])/14256 + 
       (58597945*s[22])/14256 + (2637757*s[23])/396 + (15824561*s[24])/1782 - 
       (337898147*s[25])/32076 + (182622299*s[26])/32076 + 12*s[29] - 
       3*s[30] + 6*s[31] + 4*s[32] + s[33] + 5*s[34] + 7*s[35] + 9*s[36] + 
       (79*s[37])/3 + 231*s[38] - 804*s[39] + 1113*s[40] - (1921*s[41])/2 + 
       1087*s[42] + (13150*s[43])/11 - (99141*s[44])/88 + (51958*s[45])/33 - 
       (349381*s[46])/33 - (21917*s[47])/88 + (110963*s[48])/88 - 
       (446761*s[49])/88 + (94830*s[50])/11 + (192913*s[51])/264 + 
       (48519*s[52])/88 - (2281559*s[53])/396 - (5194*s[54])/33 - 
       (10262569*s[55])/264 - (7827395*s[56])/792 + (199027*s[57])/1188 - 
       (100495669*s[58])/7128 + (103192645*s[59])/7128 + 
       (151288597*s[60])/1584 - (152126717*s[61])/32076 + 6*s[65] + 
       12*s[66] - 14*s[67] - 22*s[68] - 26*s[69] + 6*s[70] - 6*s[71] - 
       10*s[72] + 34*s[73] + (19*s[74])/2 - (19*s[75])/2 + 14*s[76] + s[77] - 
       56*s[78] + 308*s[79] - (292*s[80])/3 + 472*s[82] - 6*s[83] + 
       36*s[84] + 96*s[85])*\[Zeta][3] + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((15*s[2])/2 - (49*s[3])/4 + (4059*s[4])/8 + 
       (5422*s[5])/11 + (114069*s[6])/88 + (6338191*s[7])/528 - 
       (574109*s[8])/792 - (184195*s[9])/18 - (148777*s[10])/36 - 
       (6793973*s[11])/528 - (1775911*s[12])/132 - (4197187*s[13])/528 - 
       (1702265*s[14])/528 - (807841*s[15])/48 - (2775169*s[16])/132 - 
       (3096609*s[17])/176 - (104303*s[18])/54 - (501289*s[19])/216 - 
       (61207237*s[20])/2376 - (44276183*s[21])/4752 + 
       (30281467*s[22])/4752 + (1056323*s[23])/132 + (4358650*s[24])/297 - 
       (336637333*s[25])/21384 + (193936429*s[26])/21384 + 4*s[29] - 
       6*s[30] - 16*s[31] + s[32] - (131*s[33])/4 + 48*s[34] + 7*s[35] + 
       9*s[36] + (79*s[37])/3 + 231*s[38] - 804*s[39] + 1113*s[40] - 
       (1921*s[41])/2 + 1087*s[42] + (13150*s[43])/11 - (99141*s[44])/88 + 
       (51958*s[45])/33 - (349381*s[46])/33 - (21917*s[47])/88 + 
       (110963*s[48])/88 - (446761*s[49])/88 + (94830*s[50])/11 + 
       (192913*s[51])/264 + (48519*s[52])/88 - (2281559*s[53])/396 - 
       (5194*s[54])/33 - (10262569*s[55])/264 - (7827395*s[56])/792 + 
       (199027*s[57])/1188 - (100495669*s[58])/7128 + 
       (103192645*s[59])/7128 + (151288597*s[60])/1584 - 
       (152126717*s[61])/32076 + 6*s[65] + 12*s[66] - 14*s[67] - 22*s[68] - 
       26*s[69] + 6*s[70] - 6*s[71] - 10*s[72] + 34*s[73] + (19*s[74])/2 - 
       (19*s[75])/2 + 14*s[76] + s[77] - 56*s[78] + 308*s[79] - 
       (292*s[80])/3 + 472*s[82] - 6*s[83] + 36*s[84] + 96*s[85])*
      \[Zeta][3] + HPL[{1}, 1 - v]^2*(155*s[2] + (87*s[3])/2 + 
       (5869*s[4])/4 + 1389*s[5] + (12623*s[6])/4 + (1995821*s[7])/72 - 
       (194717*s[8])/108 - (631157*s[9])/27 - (440135*s[10])/54 - 
       (2184731*s[11])/72 - (1156409*s[12])/36 - (464525*s[13])/24 - 
       (323429*s[14])/72 - (307869*s[15])/8 - (575579*s[16])/12 - 
       (2836861*s[17])/72 - (751793*s[18])/162 - (1682273*s[19])/324 - 
       (18024313*s[20])/324 - (13500503*s[21])/648 + (9388423*s[22])/648 + 
       (80705*s[23])/3 + (5121517*s[24])/162 - (55194359*s[25])/1458 + 
       (15600481*s[26])/729 + 4*s[30] + 52*s[31] - 25*s[32] + 17*s[33] - 
       90*s[34] - 117*s[36] + (140*s[37])/3 + 978*s[38] - (14195*s[39])/4 + 
       (15351*s[40])/4 - (12311*s[41])/4 + (19235*s[42])/4 + 
       (160285*s[43])/44 - (303835*s[44])/88 + (250087*s[45])/66 - 
       (3847775*s[46])/132 + (167527*s[47])/264 + (326785*s[48])/264 - 
       (4432045*s[49])/264 + (249636*s[50])/11 + (260707*s[51])/88 + 
       (616001*s[52])/264 - (6377647*s[53])/396 - (51311*s[54])/33 - 
       (26720401*s[55])/264 - (18984925*s[56])/792 + (4807031*s[57])/297 - 
       (298226051*s[58])/7128 + (319605461*s[59])/7128 + 
       (129206401*s[60])/528 - (766860851*s[61])/64152 - s[62] + s[64] - 
       2*s[65] - 12*s[66] + 12*s[67] - 12*s[68] + 76*s[69] - 2*s[70] - 
       3*s[71] + 12*s[72] - 144*s[73] - 3*s[74] + 4*s[75] - 88*s[76] - 
       32*s[77] + 126*s[78] + 100*s[79] + (70*s[80])/3 + 564*s[82] - 
       24*s[85])*\[Zeta][2]*\[Zeta][3] + HPL[{1}, 1 - w]^2*
      (132*s[2] + 9*s[3] + 1531*s[4] + (23977*s[5])/22 + (29321*s[6])/11 + 
       (9687331*s[7])/396 - (1103705*s[8])/594 - (554141*s[9])/27 - 
       (363713*s[10])/54 - (10700363*s[11])/396 - (5782109*s[12])/198 - 
       (6979243*s[13])/396 - (1012373*s[14])/396 - (1200617*s[15])/36 - 
       (4154059*s[16])/99 - (4391819*s[17])/132 - (315913*s[18])/81 - 
       (755125*s[19])/162 - (85065499*s[20])/1782 - (61811963*s[21])/3564 + 
       (45556303*s[22])/3564 + (2637425*s[23])/99 + (24548965*s[24])/891 - 
       (1104257765*s[25])/32076 + (600322979*s[26])/32076 + s[27] - s[28] - 
       12*s[29] + 12*s[30] + 40*s[31] - 25*s[32] + (7*s[33])/2 - 72*s[34] - 
       117*s[36] + (140*s[37])/3 + 978*s[38] - (14195*s[39])/4 + 
       (15351*s[40])/4 - (12311*s[41])/4 + (19235*s[42])/4 + 
       (160285*s[43])/44 - (303835*s[44])/88 + (250087*s[45])/66 - 
       (3847775*s[46])/132 + (167527*s[47])/264 + (326785*s[48])/264 - 
       (4432045*s[49])/264 + (249636*s[50])/11 + (260707*s[51])/88 + 
       (616001*s[52])/264 - (6377647*s[53])/396 - (51311*s[54])/33 - 
       (26720401*s[55])/264 - (18984925*s[56])/792 + (4807031*s[57])/297 - 
       (298226051*s[58])/7128 + (319605461*s[59])/7128 + 
       (129206401*s[60])/528 - (766860851*s[61])/64152 - s[62] + s[64] - 
       2*s[65] - 12*s[66] + 12*s[67] - 12*s[68] + 76*s[69] - 2*s[70] - 
       3*s[71] + 12*s[72] - 144*s[73] - 3*s[74] + 4*s[75] - 88*s[76] - 
       32*s[77] + 126*s[78] + 100*s[79] + (70*s[80])/3 + 564*s[82] - 
       24*s[85])*\[Zeta][2]*\[Zeta][3] + HPL[{1}, 1 - u]^2*
      (168*s[2] + 14*s[3] + (2979*s[4])/2 + (64181*s[5])/44 + 
       (144303*s[6])/44 + (3804301*s[7])/132 - (2180047*s[8])/1188 - 
       (2633501*s[9])/108 - (928609*s[10])/108 - (3113204*s[11])/99 - 
       (13134697*s[12])/396 - (7855145*s[13])/396 - (1990277*s[14])/396 - 
       (362368*s[15])/9 - (9916903*s[16])/198 - (16420619*s[17])/396 - 
       (1567501*s[18])/324 - (874519*s[19])/162 - (51926828*s[20])/891 - 
       (38844943*s[21])/1782 + (53723557*s[22])/3564 + (5426801*s[23])/198 + 
       (58748255*s[24])/1782 - (2507505613*s[25])/64152 + 
       (1422686797*s[26])/64152 + 2*s[30] + 56*s[31] - 28*s[32] + 
       (21*s[33])/2 - 84*s[34] + 24*s[35] - 112*s[36] + (71*s[37])/3 + 
       966*s[38] - 3430*s[39] + 3798*s[40] - 3075*s[41] + 4577*s[42] + 
       (42190*s[43])/11 - (77445*s[44])/22 + (292423*s[45])/66 - 
       (2107477*s[46])/66 + (17357*s[47])/66 + (125597*s[48])/66 - 
       (1154579*s[49])/66 + (274944*s[50])/11 + (181507*s[51])/66 + 
       (143917*s[52])/66 - (3534935*s[53])/198 - (59699*s[54])/33 - 
       (7510387*s[55])/66 - (5399857*s[56])/198 + (3347048*s[57])/297 - 
       (39524665*s[58])/891 + (84950477*s[59])/1782 + (26839399*s[60])/99 - 
       (437990251*s[61])/32076 - 32*s[68] + 64*s[69] - 6*s[71] - 144*s[73] + 
       6*s[74] - 6*s[75] - 112*s[76] - 40*s[77] + 116*s[78] + 136*s[79] + 
       (46*s[80])/3 + 800*s[82] + 16*s[85])*\[Zeta][2]*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*(14*s[2] + 161*s[3] - 730*s[4] + 
       372*s[5] + 850*s[6] - (15845*s[7])/36 + (19783*s[8])/27 + 
       (4061*s[9])/54 - (24031*s[10])/27 + (45215*s[11])/36 + 
       (24736*s[12])/9 + (7571*s[13])/4 - (179347*s[14])/36 + (61*s[15])/12 + 
       (557*s[16])/3 - (106223*s[17])/36 - (228311*s[18])/162 + 
       (248879*s[19])/162 - (282544*s[20])/81 - (1085707*s[21])/324 - 
       (127567*s[22])/324 - 6174*s[23] - (79951*s[24])/81 + 
       (11616995*s[25])/2916 + (1918843*s[26])/2916 + 24*s[29] - 30*s[30] + 
       12*s[31] + 12*s[32] - (75*s[33])/2 + 42*s[34] + 54*s[35] + 134*s[36] - 
       (245*s[37])/3 - 440*s[38] + (3299*s[39])/2 - (3135*s[40])/2 + 
       (2703*s[41])/2 - (4567*s[42])/2 - (25389*s[43])/22 + 
       (65341*s[44])/44 - (42505*s[45])/66 + (284252*s[46])/33 - 
       (75341*s[47])/132 + (69001*s[48])/132 + (947975*s[49])/132 - 
       (87363*s[50])/11 - (58629*s[51])/44 - (88135*s[52])/132 + 
       (534376*s[53])/99 + (89384*s[54])/33 + (4151027*s[55])/132 + 
       (1486967*s[56])/396 - (1386725*s[57])/297 + (40336951*s[58])/3564 - 
       (49956079*s[59])/3564 - (20424353*s[60])/264 + (14386750*s[61])/8019 + 
       4*s[65] + 20*s[66] - 24*s[67] - 12*s[68] - 60*s[69] - 12*s[71] - 
       24*s[72] + 72*s[73] + 24*s[74] - 24*s[75] + 4*s[76] + 4*s[77] - 
       44*s[78] + 16*s[79] - (262*s[80])/3 - 452*s[82] - 24*s[84] + 
       144*s[85])*\[Zeta][2]*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      (-56*s[2] + 16*s[3] - (1187*s[4])/2 - (19199*s[5])/22 - 
       (8671*s[6])/11 - (1428671*s[7])/99 + (83752*s[8])/99 + 
       (112196*s[9])/9 + (93683*s[10])/18 + (1010177*s[11])/66 + 
       (506047*s[12])/33 + (856465*s[13])/99 + (86080*s[14])/33 + 
       (201815*s[15])/9 + (5185199*s[16])/198 + (2293640*s[17])/99 + 
       (51116*s[18])/27 + (102571*s[19])/27 + (18258299*s[20])/594 + 
       (374483*s[21])/33 - (2290261*s[22])/297 - (984263*s[23])/99 - 
       (5328556*s[24])/297 + (16643023*s[25])/891 - (18851009*s[26])/1782 - 
       4*s[29] - 10*s[30] - 20*s[31] + 6*s[32] - (55*s[33])/2 + 62*s[34] + 
       54*s[35] + 134*s[36] - (245*s[37])/3 - 440*s[38] + (3299*s[39])/2 - 
       (3135*s[40])/2 + (2703*s[41])/2 - (4567*s[42])/2 - (25389*s[43])/22 + 
       (65341*s[44])/44 - (42505*s[45])/66 + (284252*s[46])/33 - 
       (75341*s[47])/132 + (69001*s[48])/132 + (947975*s[49])/132 - 
       (87363*s[50])/11 - (58629*s[51])/44 - (88135*s[52])/132 + 
       (534376*s[53])/99 + (89384*s[54])/33 + (4151027*s[55])/132 + 
       (1486967*s[56])/396 - (1386725*s[57])/297 + (40336951*s[58])/3564 - 
       (49956079*s[59])/3564 - (20424353*s[60])/264 + (14386750*s[61])/8019 + 
       4*s[65] + 20*s[66] - 24*s[67] - 12*s[68] - 60*s[69] - 12*s[71] - 
       24*s[72] + 72*s[73] + 24*s[74] - 24*s[75] + 4*s[76] + 4*s[77] - 
       44*s[78] + 16*s[79] - (262*s[80])/3 - 452*s[82] - 24*s[84] + 
       144*s[85])*\[Zeta][2]*\[Zeta][3] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      (58*s[2] + 161*s[3] + 838*s[4] + (8653*s[5])/11 + (33258*s[6])/11 + 
       (6421619*s[7])/396 - (341518*s[8])/297 - (720931*s[9])/54 - 
       (116431*s[10])/27 - (6990827*s[11])/396 - (1875526*s[12])/99 - 
       (513115*s[13])/44 - (1859177*s[14])/396 - (82723*s[15])/4 - 
       (1786699*s[16])/66 - (8791081*s[17])/396 - (625367*s[18])/162 - 
       (215779*s[19])/162 - (29257865*s[20])/891 - (46553657*s[21])/3564 + 
       (29080831*s[22])/3564 + (388849*s[23])/22 + (29854823*s[24])/1782 - 
       (690700103*s[25])/32076 + (425882069*s[26])/32076 - 2*s[30] + 
       8*s[31] - 8*s[32] - (115*s[33])/2 + 46*s[34] + 52*s[35] + 
       (260*s[36])/3 - (128*s[37])/3 + 268*s[38] - 1614*s[39] + 
       (6394*s[40])/3 - 1664*s[41] + (6974*s[42])/3 + (70262*s[43])/33 - 
       (124195*s[44])/66 + (82498*s[45])/33 - (195036*s[46])/11 + 
       (33263*s[47])/198 + (327227*s[48])/198 - (1463261*s[49])/198 + 
       (404942*s[50])/33 + (338323*s[51])/198 + (324955*s[52])/198 - 
       (297911*s[53])/33 + (36796*s[54])/11 - (3853969*s[55])/66 - 
       (3808171*s[56])/198 + (3822647*s[57])/297 - (48944345*s[58])/1782 + 
       (47252057*s[59])/1782 + (165734255*s[60])/1188 - 
       (75598309*s[61])/8019 + 4*s[65] - 8*s[67] - 32*s[68] + 32*s[69] - 
       12*s[71] - 8*s[72] - 48*s[73] + 18*s[74] - 14*s[75] - 16*s[76] - 
       44*s[77] + 48*s[78] + 320*s[79] - (1072*s[80])/3 + 160*s[82] + 
       272*s[85])*\[Zeta][2]*\[Zeta][3] + HPL[{0, 1}, 1 - v]*
      (345*s[2] + (347*s[3])/2 + (14413*s[4])/4 + (74171*s[5])/22 + 
       (386017*s[6])/44 + (54618193*s[7])/792 - (1740457*s[8])/396 - 
       (523910*s[9])/9 - (176581*s[10])/9 - (19965665*s[11])/264 - 
       (5328749*s[12])/66 - (38876345*s[13])/792 - (3393953*s[14])/264 - 
       (6720919*s[15])/72 - (23319413*s[16])/198 - (75458857*s[17])/792 - 
       (339182*s[18])/27 - (1199077*s[19])/108 - (165120259*s[20])/1188 - 
       (41473037*s[21])/792 + (85463915*s[22])/2376 + (6809267*s[23])/99 + 
       (46010435*s[24])/594 - (335718491*s[25])/3564 + 
       (192422669*s[26])/3564 - 2*s[28] + 28*s[29] - 18*s[30] + 112*s[31] - 
       44*s[32] + 16*s[33] - 146*s[34] + 58*s[35] - (278*s[36])/3 + 
       (343*s[37])/3 + 2224*s[38] - 8300*s[39] + (28226*s[40])/3 - 
       7422*s[41] + (34093*s[42])/3 + (295000*s[43])/33 - 
       (1090951*s[44])/132 + (599747*s[45])/66 - (4600837*s[46])/66 + 
       (561305*s[47])/396 + (1489265*s[48])/396 - (15115355*s[49])/396 + 
       (1732669*s[50])/33 + (2945821*s[51])/396 + (2468599*s[52])/396 - 
       (3673573*s[53])/99 + (39445*s[54])/33 - (10350481*s[55])/44 - 
       (8091263*s[56])/132 + (9579695*s[57])/198 - (41026157*s[58])/396 + 
       (42627103*s[59])/396 + (1372806791*s[60])/2376 - 
       (320209231*s[61])/10692 - 2*s[62] - 32*s[63] - 4*s[64] - 6*s[65] - 
       12*s[66] + 4*s[67] - 44*s[68] + 116*s[69] - 8*s[70] - 14*s[71] + 
       4*s[72] - 268*s[73] + 21*s[74] - 19*s[75] - 188*s[76] - 58*s[77] + 
       224*s[78] + 712*s[79] - (814*s[80])/3 + 948*s[82] + 24*s[84] + 
       192*s[85] - 12*s[86])*\[Zeta][2]*\[Zeta][3] + 
     HPL[{0, 1}, 1 - w]*(245*s[2] + (147*s[3])/2 + (14691*s[4])/4 + 
       2265*s[5] + (29191*s[6])/4 + (1347049*s[7])/24 - (157987*s[8])/36 - 
       (420883*s[9])/9 - (260725*s[10])/18 - (1493047*s[11])/24 - 
       (204292*s[12])/3 - (334571*s[13])/8 - (161767*s[14])/24 - 
       (589791*s[15])/8 - 94485*s[16] - (1756661*s[17])/24 - 
       (263303*s[18])/27 - (968437*s[19])/108 - (11696609*s[20])/108 - 
       (8537197*s[21])/216 + (6289205*s[22])/216 + (129663*s[23])/2 + 
       (1663471*s[24])/27 - (77334683*s[25])/972 + (42362141*s[26])/972 - 
       24*s[29] + 24*s[30] + 72*s[31] - 36*s[32] - (93*s[33])/2 - 72*s[34] + 
       58*s[35] - (278*s[36])/3 + (343*s[37])/3 + 2224*s[38] - 8300*s[39] + 
       (28226*s[40])/3 - 7422*s[41] + (34093*s[42])/3 + (295000*s[43])/33 - 
       (1090951*s[44])/132 + (599747*s[45])/66 - (4600837*s[46])/66 + 
       (561305*s[47])/396 + (1489265*s[48])/396 - (15115355*s[49])/396 + 
       (1732669*s[50])/33 + (2945821*s[51])/396 + (2468599*s[52])/396 - 
       (3673573*s[53])/99 + (39445*s[54])/33 - (10350481*s[55])/44 - 
       (8091263*s[56])/132 + (9579695*s[57])/198 - (41026157*s[58])/396 + 
       (42627103*s[59])/396 + (1372806791*s[60])/2376 - 
       (320209231*s[61])/10692 - 2*s[62] - 32*s[63] - 4*s[64] - 6*s[65] - 
       12*s[66] + 4*s[67] - 44*s[68] + 116*s[69] - 8*s[70] - 14*s[71] + 
       4*s[72] - 268*s[73] + 21*s[74] - 19*s[75] - 188*s[76] - 58*s[77] + 
       224*s[78] + 712*s[79] - (814*s[80])/3 + 948*s[82] + 24*s[84] + 
       192*s[85] - 12*s[86])*\[Zeta][2]*\[Zeta][3] + 
     HPL[{0, 1}, 1 - u]*(426*s[2] + 450*s[3] + (8017*s[4])/2 + 
       (43597*s[5])/11 + (221607*s[6])/22 + (15472157*s[7])/198 - 
       (3149551*s[8])/594 - (3530579*s[9])/54 - (621137*s[10])/27 - 
       (16769045*s[11])/198 - (8828948*s[12])/99 - (1750250*s[13])/33 - 
       (1566661*s[14])/99 - 108743*s[15] - (1494236*s[16])/11 - 
       (22493437*s[17])/198 - (2346955*s[18])/162 - (1045159*s[19])/81 - 
       (283641041*s[20])/1782 - (107350553*s[21])/1782 + 
       (35916092*s[22])/891 + (2562952*s[23])/33 + (77879792*s[24])/891 - 
       (3360067057*s[25])/32076 + (1949188519*s[26])/32076 + 2*s[28] - 
       12*s[29] - 6*s[30] + 124*s[31] - 72*s[32] - (31*s[33])/2 - 150*s[34] + 
       116*s[35] - (560*s[36])/3 - (448*s[37])/3 + 2140*s[38] - 8913*s[39] + 
       (30503*s[40])/3 - 8333*s[41] + (37069*s[42])/3 + (328741*s[43])/33 - 
       (309532*s[44])/33 + (393626*s[45])/33 - (948007*s[46])/11 + 
       (95321*s[47])/99 + (496106*s[48])/99 - (4372595*s[49])/99 + 
       (2193610*s[50])/33 + (772180*s[51])/99 + (607363*s[52])/99 - 
       (1593836*s[53])/33 - (7206*s[54])/11 - (10119550*s[55])/33 - 
       (7692133*s[56])/99 + (9888061*s[57])/297 - (108023141*s[58])/891 + 
       (114441896*s[59])/891 + (425677739*s[60])/594 - 
       (630776959*s[61])/16038 + 4*s[62] + 48*s[63] + 4*s[64] - 16*s[66] + 
       24*s[67] - 80*s[68] + 216*s[69] - 28*s[71] + 24*s[72] - 336*s[73] + 
       6*s[74] - 6*s[75] - 208*s[76] - 156*s[77] + 328*s[78] + 224*s[79] - 
       (128*s[80])/3 + 1420*s[82] + 24*s[84] + 272*s[85] + 12*s[86])*
      \[Zeta][2]*\[Zeta][3] + ((-10994*s[2])/5 + (39557*s[3])/15 + 
       (21341*s[4])/2 + (1503908*s[5])/165 + (6864041*s[6])/330 + 
       (238905895*s[7])/1188 - (34676971*s[8])/1782 - (68708513*s[9])/405 - 
       (21920857*s[10])/405 - (1275901277*s[11])/5940 - 
       (70196729*s[12])/297 - (5984081*s[13])/44 - (219367613*s[14])/5940 - 
       (15992129*s[15])/60 - (165504056*s[16])/495 - (1518200107*s[17])/
        5940 - (54255871*s[18])/1215 - (10125665*s[19])/486 - 
       (11279498983*s[20])/26730 - (8119186151*s[21])/53460 + 
       (5585834119*s[22])/53460 + (38499674*s[23])/165 + 
       (2869588807*s[24])/13365 - (32612867156*s[25])/120285 + 
       (3720326719*s[26])/24057 + (16*s[27])/5 - (28*s[28])/5 - 
       (208*s[29])/15 - (388*s[30])/5 - (2704*s[31])/3 + (8228*s[32])/15 - 
       (2498*s[33])/5 + (8324*s[34])/5 - (3112*s[35])/5 + (9796*s[36])/9 + 
       (788*s[37])/9 + (67828*s[38])/15 - (111883*s[39])/5 + 
       (1188967*s[40])/45 - (308939*s[41])/15 + (1582313*s[42])/45 + 
       (7535741*s[43])/495 - (19585801*s[44])/990 + (15507508*s[45])/495 - 
       (7147841*s[46])/33 + (40201631*s[47])/2970 - (10930351*s[48])/2970 - 
       (41400289*s[49])/594 + (83736848*s[50])/495 + (87587653*s[51])/2970 + 
       (14226419*s[52])/594 - (57066014*s[53])/495 + (798044*s[54])/33 - 
       (83576771*s[55])/110 - (659812231*s[56])/2970 + 
       (163203148*s[57])/891 - (1870771249*s[58])/5346 + 
       (8775127247*s[59])/26730 + (31136298527*s[60])/17820 - 
       (5516428549*s[61])/48114 - (56*s[62])/5 - (16*s[63])/5 + 
       (16*s[64])/5 + (232*s[65])/15 - (16*s[66])/3 - 16*s[67] + 
       (1168*s[68])/3 - (15824*s[69])/15 + (992*s[70])/5 + (32*s[71])/15 + 
       (1072*s[72])/5 + (36728*s[73])/15 - (4052*s[74])/15 + 
       (3692*s[75])/15 + (24512*s[76])/15 + (2056*s[77])/5 - 
       (28264*s[78])/15 + (49408*s[79])/15 - (84352*s[80])/45 + 
       (8*s[81])/15 + (26232*s[82])/5 - (1832*s[83])/5 + (11424*s[84])/5 + 
       (25888*s[85])/5 - (48*s[86])/5)*\[Zeta][2]^2*\[Zeta][3] + 
     HPL[{1}, 1 - w]*(30*s[2] - 61*s[3] + 204*s[4] + (3075*s[5])/22 + 
       (6301*s[6])/22 + (764765*s[7])/396 - (19831*s[8])/66 - (5015*s[9])/3 + 
       (1049*s[10])/6 - (310583*s[11])/132 - (32765*s[12])/11 - 
       (803371*s[13])/396 + (101731*s[14])/132 - (63119*s[15])/36 - 
       (260365*s[16])/99 - (407411*s[17])/396 - (14752*s[18])/27 + 
       (14861*s[19])/54 - (1497931*s[20])/594 - (1392205*s[21])/1188 + 
       (416813*s[22])/396 + (1145731*s[23])/198 + (201863*s[24])/198 - 
       (17631821*s[25])/5346 + (9149843*s[26])/5346 - 2*s[27] + 4*s[28] - 
       4*s[29] + 6*s[30] + 12*s[31] - 8*s[32] - (21*s[33])/2 - 42*s[34] + 
       8*s[35] - 90*s[36] + 26*s[37] + 218*s[38] - (1845*s[39])/2 + 
       (1793*s[40])/2 - (1307*s[41])/2 + (2807*s[42])/2 + (12203*s[43])/22 - 
       (26481*s[44])/44 + (3715*s[45])/11 - (91959*s[46])/22 + 
       (88745*s[47])/132 - (85033*s[48])/132 - (330563*s[49])/132 + 
       (31057*s[50])/11 + (128611*s[51])/132 + (109363*s[52])/132 - 
       (137471*s[53])/66 + (2067*s[54])/11 - (1497599*s[55])/132 - 
       (148163*s[56])/44 + (375553*s[57])/33 - (1120775*s[58])/132 + 
       (1130857*s[59])/132 + (22570013*s[60])/792 - (5805295*s[61])/3564 + 
       2*s[62] - 40*s[63] - 4*s[64] - 6*s[65] - 12*s[66] + 16*s[67] + 
       36*s[68] + 16*s[69] + 28*s[70] + 4*s[71] + 16*s[72] - 32*s[73] - 
       12*s[74] + 12*s[75] - 20*s[76] - 44*s[77] + 40*s[78] - 64*s[79] + 
       44*s[80] - 560*s[82] - 96*s[85] - 12*s[86])*\[Zeta][3]^2 + 
     HPL[{1}, 1 - v]*(4*s[2] + 74*s[3] + (909*s[4])/2 + (3343*s[5])/22 + 
       (7108*s[6])/11 + (1041281*s[7])/198 - (21529*s[8])/33 - 
       (12595*s[9])/3 - (7031*s[10])/6 - (194668*s[11])/33 - 
       (148109*s[12])/22 - (796315*s[13])/198 + (5405*s[14])/33 - 
       (121025*s[15])/18 - (1769227*s[16])/198 - (636007*s[17])/99 - 
       (28109*s[18])/27 - (19501*s[19])/27 - (2874976*s[20])/297 - 
       (2034625*s[21])/594 + (264709*s[22])/99 + (1669319*s[23])/198 + 
       (1047625*s[24])/198 - (41902843*s[25])/5346 + (21929899*s[26])/5346 - 
       12*s[29] + 2*s[30] + 14*s[32] + (5*s[33])/2 - 14*s[34] + 8*s[35] - 
       90*s[36] + 26*s[37] + 218*s[38] - (1845*s[39])/2 + (1793*s[40])/2 - 
       (1307*s[41])/2 + (2807*s[42])/2 + (12203*s[43])/22 - 
       (26481*s[44])/44 + (3715*s[45])/11 - (91959*s[46])/22 + 
       (88745*s[47])/132 - (85033*s[48])/132 - (330563*s[49])/132 + 
       (31057*s[50])/11 + (128611*s[51])/132 + (109363*s[52])/132 - 
       (137471*s[53])/66 + (2067*s[54])/11 - (1497599*s[55])/132 - 
       (148163*s[56])/44 + (375553*s[57])/33 - (1120775*s[58])/132 + 
       (1130857*s[59])/132 + (22570013*s[60])/792 - (5805295*s[61])/3564 + 
       2*s[62] - 40*s[63] - 4*s[64] - 6*s[65] - 12*s[66] + 16*s[67] + 
       36*s[68] + 16*s[69] + 28*s[70] + 4*s[71] + 16*s[72] - 32*s[73] - 
       12*s[74] + 12*s[75] - 20*s[76] - 44*s[77] + 40*s[78] - 64*s[79] + 
       44*s[80] - 560*s[82] - 96*s[85] - 12*s[86])*\[Zeta][3]^2 + 
     HPL[{1}, 1 - v]^2*(7*s[2] + (17*s[3])/4 + (851*s[4])/8 + 
       (25407*s[5])/88 + (10233*s[6])/22 + (6033307*s[7])/1584 - 
       (148769*s[8])/594 - (720547*s[9])/216 - (241391*s[10])/216 - 
       (6408845*s[11])/1584 - (3322487*s[12])/792 - (3660829*s[13])/1584 - 
       (1857767*s[14])/1584 - (785939*s[15])/144 - (5311421*s[16])/792 - 
       (3032747*s[17])/528 - (596885*s[18])/648 - (220519*s[19])/648 - 
       (59921347*s[20])/7128 - (48985259*s[21])/14256 + 
       (28735477*s[22])/14256 + (3211657*s[23])/792 + (28547543*s[24])/7128 - 
       (607422239*s[25])/128304 + (396123335*s[26])/128304 + 4*s[31] + 
       s[32] + (13*s[33])/4 - 8*s[34] + 6*s[35] - (31*s[36])/3 + 
       (15*s[37])/2 + 113*s[38] - (933*s[39])/2 + (2933*s[40])/6 - 
       (783*s[41])/2 + (2084*s[42])/3 + (27691*s[43])/66 - (13619*s[44])/33 + 
       (8655*s[45])/22 - (115736*s[46])/33 + (32135*s[47])/198 + 
       (4105*s[48])/99 - (184762*s[49])/99 + (86519*s[50])/33 + 
       (90073*s[51])/198 + (34895*s[52])/99 - (194185*s[53])/99 + 
       (7732*s[54])/33 - (1588141*s[55])/132 - (321115*s[56])/99 + 
       (3667369*s[57])/1188 - (19309991*s[58])/3564 + (20431715*s[59])/3564 + 
       (8441549*s[60])/297 - (48712667*s[61])/32076 + s[62]/2 - s[64]/2 - 
       2*s[65] - 4*s[66] + 4*s[67] + 5*s[68] + 8*s[69] + 2*s[71] + 4*s[72] - 
       8*s[73] - (5*s[74])/2 + 2*s[75] - 2*s[77] + 12*s[78] - 6*s[80])*
      \[Zeta][5] + HPL[{1}, 1 - w]^2*(4*s[1] - 8*s[2] + (27*s[3])/4 + 
       (2249*s[4])/8 + (2173*s[5])/88 + (7573*s[6])/22 + (442997*s[7])/176 - 
       (4168*s[8])/11 - (15265*s[9])/8 - (3539*s[10])/8 - 
       (506443*s[11])/176 - (296805*s[12])/88 - (384259*s[13])/176 + 
       (55331*s[14])/176 - (155207*s[15])/48 - (370903*s[16])/88 - 
       (509199*s[17])/176 - (1507*s[18])/8 - (4589*s[19])/8 - 
       (360205*s[20])/88 - (207029*s[21])/176 + (671917*s[22])/528 + 
       (334739*s[23])/88 + (258455*s[24])/88 - (19504399*s[25])/4752 + 
       (8739391*s[26])/4752 - s[27]/2 + s[28]/2 - 4*s[29] + 2*s[30] - 
       4*s[31] - s[32] - 2*s[33] + 2*s[34] + 6*s[35] - (31*s[36])/3 + 
       (15*s[37])/2 + 113*s[38] - (933*s[39])/2 + (2933*s[40])/6 - 
       (783*s[41])/2 + (2084*s[42])/3 + (27691*s[43])/66 - (13619*s[44])/33 + 
       (8655*s[45])/22 - (115736*s[46])/33 + (32135*s[47])/198 + 
       (4105*s[48])/99 - (184762*s[49])/99 + (86519*s[50])/33 + 
       (90073*s[51])/198 + (34895*s[52])/99 - (194185*s[53])/99 + 
       (7732*s[54])/33 - (1588141*s[55])/132 - (321115*s[56])/99 + 
       (3667369*s[57])/1188 - (19309991*s[58])/3564 + (20431715*s[59])/3564 + 
       (8441549*s[60])/297 - (48712667*s[61])/32076 + s[62]/2 - s[64]/2 - 
       2*s[65] - 4*s[66] + 4*s[67] + 5*s[68] + 8*s[69] + 2*s[71] + 4*s[72] - 
       8*s[73] - (5*s[74])/2 + 2*s[75] - 2*s[77] + 12*s[78] - 6*s[80])*
      \[Zeta][5] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*(30*s[2] - (29*s[3])/2 + 
       (141*s[4])/2 + (3706*s[5])/11 + (4074*s[6])/11 + (1129811*s[7])/264 - 
       (81238*s[8])/297 - (402947*s[9])/108 - (68513*s[10])/54 - 
       (3538825*s[11])/792 - (927797*s[12])/198 - (1917577*s[13])/792 - 
       (970723*s[14])/792 - (427745*s[15])/72 - (2977109*s[16])/396 - 
       (5033491*s[17])/792 - (380827*s[18])/324 - (94241*s[19])/324 - 
       (16891825*s[20])/1782 - (27053563*s[21])/7128 + 
       (16130141*s[22])/7128 + (2066725*s[23])/396 + (15165919*s[24])/3564 - 
       (330315499*s[25])/64152 + (211316329*s[26])/64152 - s[30] + 8*s[31] - 
       2*s[32] + (17*s[33])/4 - 17*s[34] + 2*s[35] - 26*s[36] + 
       (134*s[37])/3 + 156*s[38] - 277*s[39] + 305*s[40] - 67*s[41] + 
       518*s[42] + (775*s[43])/11 - (6423*s[44])/44 + (28946*s[45])/33 - 
       (146783*s[46])/33 + (26035*s[47])/132 - (45641*s[48])/132 - 
       (86377*s[49])/132 + (38576*s[50])/11 + (12321*s[51])/44 + 
       (41423*s[52])/132 - (488441*s[53])/198 - (2939*s[54])/33 - 
       (2247739*s[55])/132 - (2200805*s[56])/396 + (2067397*s[57])/594 - 
       (26076979*s[58])/3564 + (24537439*s[59])/3564 + (27732011*s[60])/792 - 
       (23476702*s[61])/8019 - 2*s[65] - 4*s[67] + 4*s[68] - 4*s[72] - 
       16*s[73] + 3*s[74] - 5*s[75] - 16*s[76] + 2*s[77] + 24*s[78] + 
       8*s[79] + (28*s[80])/3)*\[Zeta][5] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      ((5*s[2])/2 - (199*s[3])/4 - (4529*s[4])/8 - (618*s[5])/11 - 
       (64627*s[6])/88 - (8212885*s[7])/1584 + (1577825*s[8])/2376 + 
       (444629*s[9])/108 + (102085*s[10])/108 + (9812171*s[11])/1584 + 
       (2921119*s[12])/396 + (7625401*s[13])/1584 - (856693*s[14])/1584 + 
       (867455*s[15])/144 + (1715447*s[16])/198 + (2881951*s[17])/528 + 
       (216643*s[18])/324 + (623023*s[19])/648 + (62943841*s[20])/7128 + 
       (39791177*s[21])/14256 - (38694361*s[22])/14256 - 
       (1568335*s[23])/198 - (20654647*s[24])/3564 + (137730787*s[25])/
        16038 - (130094213*s[26])/32076 + 8*s[29] - 5*s[30] + 6*s[31] + 
       s[32] + (7*s[33])/2 - 5*s[34] + 4*s[35] + (119*s[36])/3 - 
       (76*s[37])/3 - 247*s[38] + 1141*s[39] - (3692*s[40])/3 + 
       (1913*s[41])/2 - (5044*s[42])/3 - (30967*s[43])/33 + 
       (274865*s[44])/264 - (25693*s[45])/33 + (239354*s[46])/33 - 
       (316717*s[47])/792 - (236197*s[48])/792 + (3620863*s[49])/792 - 
       (177709*s[50])/33 - (849605*s[51])/792 - (658253*s[52])/792 + 
       (1430701*s[53])/396 + (9659*s[54])/33 + (5848171*s[55])/264 + 
       (1561403*s[56])/264 - (1429207*s[57])/132 + (29172581*s[58])/2376 - 
       (29238221*s[59])/2376 - (278226649*s[60])/4752 + 
       (15219001*s[61])/5346 + 3*s[65] + 8*s[66] - 10*s[67] - 8*s[68] - 
       18*s[69] - 4*s[71] - 10*s[72] + 14*s[73] + (13*s[74])/2 - 
       (13*s[75])/2 + 2*s[76] + 5*s[77] - 26*s[78] - 40*s[79] + 
       (76*s[80])/3 - 390*s[82] - 12*s[84] - 24*s[85])*\[Zeta][5] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*((-39*s[2])/2 - (55*s[3])/4 - 
       (3011*s[4])/8 - (4529*s[5])/11 - (75457*s[6])/88 - 
       (11887069*s[7])/1584 + (1267987*s[8])/2376 + (172474*s[9])/27 + 
       (218159*s[10])/108 + (13247071*s[11])/1584 + (1813675*s[12])/198 + 
       (2880827*s[13])/528 + (1865647*s[14])/1584 + (156363*s[15])/16 + 
       (568393*s[16])/44 + (15696533*s[17])/1584 + (259135*s[18])/162 + 
       (624035*s[19])/648 + (108934325*s[20])/7128 + (83830669*s[21])/14256 - 
       (57017837*s[22])/14256 - (291778*s[23])/33 - (28586159*s[24])/3564 + 
       (664706297*s[25])/64152 - (381895031*s[26])/64152 - 10*s[31] + s[32] - 
       (25*s[33])/4 + 18*s[34] + 4*s[35] + (119*s[36])/3 - (76*s[37])/3 - 
       247*s[38] + 1141*s[39] - (3692*s[40])/3 + (1913*s[41])/2 - 
       (5044*s[42])/3 - (30967*s[43])/33 + (274865*s[44])/264 - 
       (25693*s[45])/33 + (239354*s[46])/33 - (316717*s[47])/792 - 
       (236197*s[48])/792 + (3620863*s[49])/792 - (177709*s[50])/33 - 
       (849605*s[51])/792 - (658253*s[52])/792 + (1430701*s[53])/396 + 
       (9659*s[54])/33 + (5848171*s[55])/264 + (1561403*s[56])/264 - 
       (1429207*s[57])/132 + (29172581*s[58])/2376 - (29238221*s[59])/2376 - 
       (278226649*s[60])/4752 + (15219001*s[61])/5346 + 3*s[65] + 8*s[66] - 
       10*s[67] - 8*s[68] - 18*s[69] - 4*s[71] - 10*s[72] + 14*s[73] + 
       (13*s[74])/2 - (13*s[75])/2 + 2*s[76] + 5*s[77] - 26*s[78] - 
       40*s[79] + (76*s[80])/3 - 390*s[82] - 12*s[84] - 24*s[85])*
      \[Zeta][5] + HPL[{0, 1}, 1 - u]*((7*s[2])/2 + (39*s[3])/4 + 
       (20777*s[4])/8 + (61687*s[5])/44 + (360269*s[6])/88 + 
       (58841273*s[7])/1584 - (842399*s[8])/264 - (62755*s[9])/2 - 
       (53969*s[10])/6 - (22131425*s[11])/528 - (2076101*s[12])/44 - 
       (46072225*s[13])/1584 - (1283921*s[14])/528 - (6742919*s[15])/144 - 
       (24320899*s[16])/396 - (69320873*s[17])/1584 - (179479*s[18])/27 - 
       (1177597*s[19])/216 - (169907131*s[20])/2376 - 
       (121181287*s[21])/4752 + (31220713*s[22])/1584 + (4660082*s[23])/99 + 
       (5328857*s[24])/132 - (1162178597*s[25])/21384 + 
       (617891663*s[26])/21384 - s[28] - 10*s[29] + s[30] + 6*s[31] - 
       3*s[32] + (13*s[33])/2 - 15*s[34] - 38*s[35] - (421*s[36])/3 + 
       (764*s[37])/3 + 1633*s[38] - (24423*s[39])/4 + (82321*s[40])/12 - 
       (20353*s[41])/4 + (106139*s[42])/12 + (689627*s[43])/132 - 
       (1480087*s[44])/264 + (324079*s[45])/66 - (5539423*s[46])/132 + 
       (1680269*s[47])/792 + (484283*s[48])/792 - (18800399*s[49])/792 + 
       (1039733*s[50])/33 + (4630735*s[51])/792 + (3907201*s[52])/792 - 
       (4120393*s[53])/198 + (8189*s[54])/33 - (34922321*s[55])/264 - 
       (9418127*s[56])/264 + (5441096*s[57])/99 - (55372379*s[58])/792 + 
       (55102885*s[59])/792 + (1626265073*s[60])/4752 - 
       (363374551*s[61])/21384 - 2*s[62] - 24*s[63] - 2*s[64] - 4*s[65] - 
       8*s[66] + 12*s[67] + 12*s[68] + 36*s[69] + 4*s[71] + 12*s[72] - 
       10*s[73] - 9*s[74] + 9*s[75] - 12*s[76] - 6*s[77] + 30*s[78] + 
       688*s[79] - (722*s[80])/3 + 390*s[82] + 12*s[84] + 24*s[85] - 6*s[86])*
      \[Zeta][5] + HPL[{0, 1}, 1 - v]*((43*s[2])/2 - (91*s[3])/4 - 
       (16301*s[4])/8 - (36857*s[5])/44 - (254165*s[6])/88 - 
       (41511377*s[7])/1584 + (5774419*s[8])/2376 + (1189493*s[9])/54 + 
       (160817*s[10])/27 + (46957831*s[11])/1584 + (13355291*s[12])/396 + 
       (33428333*s[13])/1584 + (1097911*s[14])/1584 + (4709071*s[15])/144 + 
       (8425897*s[16])/198 + (15584687*s[17])/528 + (342899*s[18])/81 + 
       (2654687*s[19])/648 + (349677953*s[20])/7128 + 
       (241003297*s[21])/14256 - (197972213*s[22])/14256 - 
       (13425391*s[23])/396 - (25379978*s[24])/891 + (2516822459*s[25])/
        64152 - (1297648169*s[26])/64152 + s[28] + 8*s[29] - 3*s[30] + 
       4*s[31] - s[32] + s[33] - 3*s[34] + 18*s[35] + (296*s[36])/3 - 
       (1285*s[37])/6 - 1275*s[38] + (9389*s[39])/2 - (32011*s[40])/6 + 
       4118*s[41] - (19411*s[42])/3 - (278141*s[43])/66 + (143425*s[44])/33 - 
       (466547*s[45])/132 + (1348841*s[46])/44 - (315805*s[47])/198 - 
       (34730*s[48])/99 + (3605983*s[49])/198 - (763978*s[50])/33 - 
       (899879*s[51])/198 - (771593*s[52])/198 + (168700*s[53])/11 - 
       (13051*s[54])/11 + (2126271*s[55])/22 + (2483227*s[56])/99 - 
       (23318687*s[57])/594 + (181050761*s[58])/3564 - (45673412*s[59])/891 - 
       (599878109*s[60])/2376 + (747485539*s[61])/64152 + s[62] + 32*s[63] + 
       2*s[64] - 4*s[67] + 4*s[68] - 18*s[69] - 4*s[72] - 6*s[73] + 4*s[74] - 
       5*s[75] + 6*s[76] + 2*s[77] - 2*s[78] - 616*s[79] + (605*s[80])/3 + 
       390*s[82] + 12*s[84] + 24*s[85] + 6*s[86])*\[Zeta][5] + 
     HPL[{0, 1}, 1 - w]*((9*s[2])/2 - (53*s[3])/4 - (15923*s[4])/8 - 
       (11676*s[5])/11 - (261101*s[6])/88 - (14881901*s[7])/528 + 
       (5520835*s[8])/2376 + (2584501*s[9])/108 + (734231*s[10])/108 + 
       (50094433*s[11])/1584 + (7018705*s[12])/198 + (34976119*s[13])/1584 + 
       (2520733*s[14])/1584 + (5179397*s[15])/144 + (18311047*s[16])/396 + 
       (52653151*s[17])/1584 + (1530875*s[18])/324 + (2913173*s[19])/648 + 
       (383815607*s[20])/7128 + (270789847*s[21])/14256 - 
       (213617255*s[22])/14256 - (6871483*s[23])/198 - 
       (110023787*s[24])/3564 + (1324408879*s[25])/32076 - 
       (348714977*s[26])/16038 - 4*s[29] - s[30] - 8*s[31] + 2*s[32] - 
       (19*s[33])/2 + 15*s[34] + 18*s[35] + (296*s[36])/3 - (1285*s[37])/6 - 
       1275*s[38] + (9389*s[39])/2 - (32011*s[40])/6 + 4118*s[41] - 
       (19411*s[42])/3 - (278141*s[43])/66 + (143425*s[44])/33 - 
       (466547*s[45])/132 + (1348841*s[46])/44 - (315805*s[47])/198 - 
       (34730*s[48])/99 + (3605983*s[49])/198 - (763978*s[50])/33 - 
       (899879*s[51])/198 - (771593*s[52])/198 + (168700*s[53])/11 - 
       (13051*s[54])/11 + (2126271*s[55])/22 + (2483227*s[56])/99 - 
       (23318687*s[57])/594 + (181050761*s[58])/3564 - (45673412*s[59])/891 - 
       (599878109*s[60])/2376 + (747485539*s[61])/64152 + s[62] + 32*s[63] + 
       2*s[64] - 4*s[67] + 4*s[68] - 18*s[69] - 4*s[72] - 6*s[73] + 4*s[74] - 
       5*s[75] + 6*s[76] + 2*s[77] - 2*s[78] - 616*s[79] + (605*s[80])/3 + 
       390*s[82] + 12*s[84] + 24*s[85] + 6*s[86])*\[Zeta][5] + 
     (1197*s[2] - (3379*s[3])/2 - (117363*s[4])/4 - (48671*s[5])/2 - 
       (224657*s[6])/4 - (38100983*s[7])/72 + (1638901*s[8])/36 + 
       (8066657*s[9])/18 + (1307261*s[10])/9 + (4594881*s[11])/8 + 
       (3737207*s[12])/6 + (26568883*s[13])/72 + (636717*s[14])/8 + 
       (51295039*s[15])/72 + (16146073*s[16])/18 + (50408855*s[17])/72 + 
       (602989*s[18])/6 + (2663291*s[19])/36 + (12911581*s[20])/12 + 
       (84607409*s[21])/216 - (60142613*s[22])/216 - (5293150*s[23])/9 - 
       (31367213*s[24])/54 + (352490321*s[25])/486 - (98512399*s[26])/243 + 
       8*s[27] + 2*s[28] + 4*s[29] + 248*s[30] + 636*s[31] - 314*s[32] + 
       (429*s[33])/2 - 848*s[34] + 896*s[35] + (2650*s[36])/3 - 
       (3884*s[37])/3 - 15398*s[38] + (131437*s[39])/2 - (444323*s[40])/6 + 
       (117659*s[41])/2 - (583549*s[42])/6 - (343403*s[43])/6 + 
       (740857*s[44])/12 - (232435*s[45])/3 + (3481855*s[46])/6 - 
       (839915*s[47])/36 - (269321*s[48])/36 + (9460409*s[49])/36 - 
       (1360930*s[50])/3 - (2466757*s[51])/36 - (1978147*s[52])/36 + 
       (2844895*s[53])/9 - (35506*s[54])/3 + (24256883*s[55])/12 + 
       (6453433*s[56])/12 - (1320943*s[57])/3 + (96667591*s[58])/108 - 
       (96888709*s[59])/108 - (1033468943*s[60])/216 + 
       (259034483*s[61])/972 - 12*s[62] + 16*s[63] + 32*s[64] + 8*s[65] + 
       32*s[66] + 48*s[67] - 304*s[68] + 648*s[69] - 176*s[70] - 8*s[71] - 
       352*s[72] - 1804*s[73] + 388*s[74] - 232*s[75] - 1104*s[76] - 
       224*s[77] + 1228*s[78] - 6080*s[79] + (4364*s[80])/3 - (2*s[81])/3 - 
       13260*s[82] + 1032*s[83] - 4104*s[84] - 6288*s[85])*\[Zeta][2]*
      \[Zeta][5] + (32*s[1] - 459*s[2] - (5865*s[3])/2 + 64*s[4] - 
       (523777*s[5])/44 - (583315*s[6])/44 - (100330199*s[7])/792 + 
       (631187*s[8])/132 + (216939*s[9])/2 + (614363*s[10])/12 + 
       (32484833*s[11])/264 + (4805785*s[12])/44 + (42125143*s[13])/792 + 
       (15167333*s[14])/264 + (15364793*s[15])/72 + (93183983*s[16])/396 + 
       (192944177*s[17])/792 + (752021*s[18])/27 + (2736697*s[19])/108 + 
       (357831409*s[20])/1188 + (292078789*s[21])/2376 - 
       (49712401*s[22])/792 - (19964029*s[23])/396 - (19842289*s[24])/132 + 
       (724051777*s[25])/5346 - (259230548*s[26])/2673 - 8*s[27] - s[28] - 
       16*s[29] + 3*s[30] - 36*s[31] - 223*s[32] + (1115*s[33])/4 - 
       163*s[34] + 510*s[35] + (422*s[36])/3 + (1121*s[37])/3 + 442*s[38] + 
       151*s[39] - (347*s[40])/3 + 428*s[41] + (7007*s[42])/3 - 
       (219427*s[43])/33 + (250765*s[44])/132 - (1984271*s[45])/66 + 
       (8607055*s[46])/66 + (1546153*s[47])/396 - (2109059*s[48])/396 + 
       (11016125*s[49])/396 - (3595678*s[50])/33 + (843749*s[51])/396 + 
       (917615*s[52])/396 + (9021913*s[53])/99 + (292814*s[54])/33 + 
       (80267993*s[55])/132 + (17677889*s[56])/132 + (44296969*s[57])/198 + 
       (46122815*s[58])/396 - (55847989*s[59])/396 - (2685765509*s[60])/
        2376 + (867688519*s[61])/10692 + 18*s[62] + 64*s[63] - 34*s[64] - 
       8*s[65] + 56*s[66] + 52*s[67] - 16*s[68] - 60*s[69] - 392*s[70] + 
       8*s[71] + 52*s[72] - 612*s[73] - 151*s[74] + 11*s[75] + 382*s[77] - 
       188*s[78] + 3680*s[79] - (3494*s[80])/3 + s[81]/3 - 11844*s[82] - 
       420*s[83] + 1344*s[84] - 3360*s[85] + 6*s[86])*\[Zeta][7]
 
SuvwCoproductEntries[yv] = -(HPL[{1}, 1 - w]^4*HPL[{0, 1, 1}, 1 - w]*s[1])/
      12 - 4*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1, 1}, 1 - w]*s[1] + 
     16*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 1 - w]*s[1] - 
     32*HPL[{0, 1, 1, 1, 1, 1, 1}, 1 - w]*s[1] + D1[v, u, w]*s[2] + 
     4*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u]*s[2] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u]*(-16*s[1] + 60*s[2]) + 
     HPL[{0, 0, 0, 0, 0, 0, 1}, 1 - u]*(-32*s[1] + 128*s[2]) + 
     D6[v, w, u]*s[5] + D6[w, u, v]*s[8] + B1[v, w, u]*HPL[{1}, 1 - u]*
      s[11] + D4[v, u, w]*(s[3] + s[11]) + D7[w, v, u]*s[26] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 1 - w]*
      ((-128*s[21])/3 + (112*s[25])/3 + (112*s[26])/3) - 
     (5*HPL[{1}, 1 - u]^4*HPL[{0, 1, 1}, 1 - u]*s[37])/6 - 
     4*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1, 1}, 1 - u]*s[37] + 
     4*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - u]*s[37] + 
     D15[v, w, u]*s[39] + D8[u, w, v]*s[41] + D17[u, v, w]*s[42] + 
     D13[v, w, u]*s[43] + D14[v, w, u]*s[44] + D8[v, u, w]*(s[6] + s[49]) + 
     D8[u, v, w]*s[50] + D12[v, u, w]*(s[47] + s[51] - s[55]) + 
     D12[w, u, v]*(s[47] + s[51] - s[55]) - D7[u, v, w]*s[55] + 
     D7[v, u, w]*s[55] - B1[w, v, u]*HPL[{1}, 1 - u]*s[55] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - w]*
      (4*s[2] - 8*s[56]) + D4[w, u, v]*(-s[14] - 2*s[56]) + 
     D7[u, w, v]*(s[15] + s[19] - s[55] - 2*s[56]) - 2*D24[u, v, w]*s[56] + 
     2*D3[v, w, u]*s[56] + 2*D3[w, v, u]*s[56] + 2*D5[u, v, w]*s[56] + 
     2*D5[u, w, v]*s[56] + 2*B1[v, w, u]*HPL[{1}, 1 - w]*s[56] + 
     2*B1[w, v, u]*HPL[{1}, 1 - w]*s[56] - 8*B11[u, v, w]*HPL[{1}, 1 - w]*
      s[56] + 2*B2[u, v, w]*HPL[{1}, 1 - w]*s[56] + 
     2*B2[u, w, v]*HPL[{1}, 1 - w]*s[56] + B4[v, w, u]*HPL[{1}, 1 - u]*
      (-s[24] - 2*s[60]) - 2*D9[w, v, u]*s[60] + 
     D12[u, w, v]*(s[24] + s[51] + 2*s[60]) + HPL[{1}, 1 - u]^2*Qep[w, v, u]*
      ((128*s[3])/3 + (40328*s[5])/99 + (29098*s[6])/99 + (140180*s[7])/33 - 
       (200462*s[8])/891 - (303118*s[9])/81 - (136640*s[10])/81 - 
       (1188271*s[11])/297 - (1021265*s[12])/297 - (502588*s[13])/297 - 
       (523264*s[14])/297 - (206380*s[15])/27 - (2349814*s[16])/297 - 
       (2478343*s[17])/297 - (179966*s[18])/243 - (229954*s[19])/243 - 
       (26695132*s[20])/2673 - (11037424*s[21])/2673 + (5764094*s[22])/2673 + 
       (604085*s[23])/297 + (13452617*s[24])/2673 - (108266887*s[25])/24057 + 
       (78492619*s[26])/24057 + (128*s[37])/9 + (160*s[38])/3 - 
       (1768*s[39])/9 + (1768*s[40])/9 - (604*s[41])/9 + (2692*s[42])/9 + 
       (42824*s[43])/99 - (8582*s[44])/33 + (78104*s[45])/99 - 
       (47120*s[46])/11 - (17390*s[47])/297 + (43858*s[48])/297 - 
       (558418*s[49])/297 + (365312*s[50])/99 + (9322*s[51])/99 - 
       (28846*s[52])/297 - (977252*s[53])/297 - (12608*s[54])/33 - 
       (6308726*s[55])/297 - (371102*s[56])/99 - (271024*s[57])/33 - 
       (2971082*s[58])/891 + (4841582*s[59])/891 + (35568833*s[60])/891 - 
       (15201094*s[61])/8019) + HPL[{1}, 1 - w]^2*Qep[w, u, v]*
      ((-608*s[4])/9 + (10792*s[5])/99 + (4846*s[6])/33 + (14210*s[7])/33 + 
       (24278*s[8])/891 - (36434*s[9])/81 - (16900*s[10])/81 - 
       (98591*s[11])/297 - (28453*s[12])/297 - (14420*s[13])/297 - 
       (222824*s[14])/297 - (21554*s[15])/27 - (254636*s[16])/297 - 
       (364523*s[17])/297 - (52054*s[18])/243 + (30514*s[19])/243 - 
       (3767204*s[20])/2673 - (2154560*s[21])/2673 + (584290*s[22])/2673 - 
       (113741*s[23])/297 + (1036267*s[24])/2673 - (2676725*s[25])/24057 + 
       (10720961*s[26])/24057 - (208*s[38])/9 + 32*s[39] - 32*s[40] + 
       (220*s[41])/9 - (236*s[42])/9 + (688*s[43])/99 + (2956*s[44])/99 + 
       (2384*s[45])/33 - (31024*s[46])/99 - (16*s[47])/297 - 
       (4240*s[48])/297 + (35512*s[49])/297 + (2304*s[50])/11 - 
       (48*s[51])/11 + (460*s[52])/297 - (73816*s[53])/297 + 
       (8480*s[54])/33 - (182128*s[55])/99 - (66212*s[56])/99 - 
       (377536*s[57])/297 - (122696*s[58])/891 + (158828*s[59])/891 + 
       (2204374*s[60])/891 - (676778*s[61])/2673) + 
     D26[w, u, v]*(3*s[2] + 17*s[4] + (393*s[5])/22 + (859*s[6])/22 + 
       (43459*s[7])/132 - (3010*s[8])/99 - (5017*s[9])/18 - (1391*s[10])/18 - 
       (47939*s[11])/132 - (13261*s[12])/33 - (31741*s[13])/132 - 
       (5639*s[14])/132 - (5159*s[15])/12 - (17962*s[16])/33 - 
       (17865*s[17])/44 - (3761*s[18])/54 - (908*s[19])/27 - 
       (194990*s[20])/297 - (300437*s[21])/1188 + (204439*s[22])/1188 + 
       (13724*s[23])/33 + (104020*s[24])/297 - (4894661*s[25])/10692 + 
       (2828585*s[26])/10692 + 2*s[37] + 13*s[38] - (95*s[39])/2 + 
       (101*s[40])/2 - (79*s[41])/2 + (135*s[42])/2 + (939*s[43])/22 - 
       (1797*s[44])/44 + (1061*s[45])/22 - (4064*s[46])/11 + 
       (2395*s[47])/132 + (217*s[48])/132 - (23509*s[49])/132 + 
       (2875*s[50])/11 + (1943*s[51])/44 + (5435*s[52])/132 - 
       (6239*s[53])/33 + (439*s[54])/11 - (53399*s[55])/44 - 
       (15437*s[56])/44 + (26239*s[57])/66 - (79999*s[58])/132 + 
       (80027*s[59])/132 + (2303569*s[60])/792 - (149207*s[61])/891) + 
     D26[v, u, w]*(9*s[3] + 20*s[4] + (393*s[5])/22 + (1035*s[6])/22 + 
       (42271*s[7])/132 - (2504*s[8])/99 - (4781*s[9])/18 - (1393*s[10])/18 - 
       (46267*s[11])/132 - (12590*s[12])/33 - (10243*s[13])/44 - 
       (7135*s[14])/132 - (5107*s[15])/12 - (5914*s[16])/11 - 
       (55883*s[17])/132 - (1976*s[18])/27 - (910*s[19])/27 - 
       (188995*s[20])/297 - (296521*s[21])/1188 + (192647*s[22])/1188 + 
       (9043*s[23])/22 + (98729*s[24])/297 - (4727857*s[25])/10692 + 
       (2783353*s[26])/10692 + s[32] + 2*s[37] + 12*s[38] - (91*s[39])/2 + 
       (95*s[40])/2 - (73*s[41])/2 + (129*s[42])/2 + (873*s[43])/22 - 
       (1687*s[44])/44 + (1039*s[45])/22 - (3910*s[46])/11 + (747*s[47])/44 - 
       (23*s[48])/44 - (7301*s[49])/44 + (2787*s[50])/11 + (1789*s[51])/44 + 
       (1731*s[52])/44 - (2043*s[53])/11 + (439*s[54])/11 - 
       (157535*s[55])/132 - (15151*s[56])/44 + (24545*s[57])/66 - 
       (230471*s[58])/396 + (231875*s[59])/396 + (734497*s[60])/264 - 
       (294487*s[61])/1782) + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1}, 1 - u]*
      (9*s[2] - 2*s[3] - 83*s[4] + (2305*s[5])/22 + (1527*s[6])/22 + 
       (4229*s[7])/44 + (4117*s[8])/99 - (3191*s[9])/18 - (931*s[10])/18 + 
       (3005*s[11])/132 + (12311*s[12])/66 + (30581*s[13])/132 - 
       (65689*s[14])/132 - (1133*s[15])/4 - (13589*s[16])/66 - 
       (59119*s[17])/132 - (15871*s[18])/54 + (8591*s[19])/27 - 
       (449015*s[20])/594 - (724615*s[21])/1188 + (59117*s[22])/1188 + 
       (11723*s[23])/33 - (75391*s[24])/297 + (3298739*s[25])/10692 + 
       (2513641*s[26])/10692 + 22*s[37] - 36*s[38] + 13*s[39] - 5*s[40] + 
       18*s[41] + 14*s[42] - (477*s[43])/11 + (367*s[44])/22 + 
       (193*s[45])/11 + (252*s[46])/11 + (2357*s[47])/66 - (6553*s[48])/66 + 
       (20077*s[49])/66 - (1625*s[50])/11 - (703*s[51])/66 + 
       (1495*s[52])/66 - (392*s[53])/33 + (3709*s[54])/11 - (4319*s[55])/66 - 
       (8675*s[56])/22 + (40703*s[57])/66 - (45497*s[58])/198 + 
       (27395*s[59])/198 - (681421*s[60])/396 - (9517*s[61])/66) + 
     B6[v, u, w]*HPL[{1}, 1 - w]*((3*s[2])/2 + 11*s[4] + (503*s[5])/44 + 
       (1057*s[6])/44 + (18131*s[7])/88 - (221*s[8])/11 - (691*s[9])/4 - 
       (201*s[10])/4 - (19529*s[11])/88 - (2641*s[12])/11 - 
       (12399*s[13])/88 - (2305*s[14])/88 - (6809*s[15])/24 - 
       (15205*s[16])/44 - (23717*s[17])/88 - (171*s[18])/4 - 23*s[19] - 
       (4528*s[20])/11 - (41869*s[21])/264 + (9353*s[22])/88 + 
       (11683*s[23])/44 + (28783*s[24])/132 - (222295*s[25])/792 + 
       (129787*s[26])/792 + s[37] + 7*s[38] - 27*s[39] + 28*s[40] - 
       (45*s[41])/2 + (77*s[42])/2 + (265*s[43])/11 - (248*s[44])/11 + 
       (345*s[45])/11 - (2516*s[46])/11 + (195*s[47])/22 - (25*s[48])/22 - 
       (2191*s[49])/22 + (3667*s[50])/22 + (258*s[51])/11 + (248*s[52])/11 - 
       (1390*s[53])/11 + (615*s[54])/22 - (17879*s[55])/22 - 
       (4973*s[56])/22 + (22741*s[57])/132 - (35303*s[58])/99 + 
       (72937*s[59])/198 + (238429*s[60])/132 - (386117*s[61])/3564) + 
     B6[w, u, v]*HPL[{1}, 1 - w]*(4*s[3] + (21*s[4])/2 + (613*s[5])/44 + 
       (1321*s[6])/44 + (18461*s[7])/88 - (1007*s[8])/66 - (2129*s[9])/12 - 
       (655*s[10])/12 - (19727*s[11])/88 - (5205*s[12])/22 - 
       (12421*s[13])/88 - (4439*s[14])/88 - (7015*s[15])/24 - 
       (15711*s[16])/44 - (26335*s[17])/88 - (863*s[18])/18 - (188*s[19])/9 - 
       (42908*s[20])/99 - (138961*s[21])/792 + (84551*s[22])/792 + 
       (5297*s[23])/22 + (87229*s[24])/396 - (1959427*s[25])/7128 + 
       (1220311*s[26])/7128 + s[32]/2 + s[37] + 7*s[38] - 27*s[39] + 
       28*s[40] - (45*s[41])/2 + (77*s[42])/2 + (265*s[43])/11 - 
       (248*s[44])/11 + (345*s[45])/11 - (2516*s[46])/11 + (195*s[47])/22 - 
       (25*s[48])/22 - (2191*s[49])/22 + (3667*s[50])/22 + (258*s[51])/11 + 
       (248*s[52])/11 - (1390*s[53])/11 + (615*s[54])/22 - (17879*s[55])/22 - 
       (4973*s[56])/22 + (22741*s[57])/132 - (35303*s[58])/99 + 
       (72937*s[59])/198 + (238429*s[60])/132 - (386117*s[61])/3564) + 
     D25[v, u, w]*(-3*s[2] + 11*s[4] + (157*s[5])/22 + (285*s[6])/22 + 
       (33475*s[7])/132 - (730*s[8])/99 - (3997*s[9])/18 - (1763*s[10])/18 - 
       (37421*s[11])/132 - (9883*s[12])/33 - (26383*s[13])/132 - 
       (5933*s[14])/132 - (1425*s[15])/4 - (28679*s[16])/66 - 
       (16235*s[17])/44 - (785*s[18])/54 - (2630*s[19])/27 - 
       (303559*s[20])/594 - (197291*s[21])/1188 + (162829*s[22])/1188 - 
       (1697*s[23])/66 + (213623*s[24])/594 - (3806735*s[25])/10692 + 
       (1919939*s[26])/10692 - 2*s[37] + 18*s[38] - 23*s[39] + 21*s[40] - 
       20*s[41] + 16*s[42] + (427*s[43])/11 - (559*s[44])/22 + 
       (487*s[45])/11 - (3108*s[46])/11 - (829*s[47])/66 + (2669*s[48])/66 - 
       (12605*s[49])/66 + (2779*s[50])/11 + (1051*s[51])/66 + 
       (841*s[52])/66 - (5630*s[53])/33 - (879*s[54])/11 - (71509*s[55])/66 - 
       (3485*s[56])/22 - (20629*s[57])/66 - (55391*s[58])/198 + 
       (63929*s[59])/198 + (1132745*s[60])/396 - (54041*s[61])/594) + 
     B6[u, w, v]*HPL[{1}, 1 - w]*(4*s[3] + (47*s[4])/4 + (123*s[5])/11 + 
       (903*s[6])/44 + (26465*s[7])/132 - (487*s[8])/33 - (1009*s[9])/6 - 
       (323*s[10])/6 - (9803*s[11])/44 - (10773*s[12])/44 - (9467*s[13])/66 - 
       (262*s[14])/11 - (3191*s[15])/12 - (22175*s[16])/66 - 
       (33887*s[17])/132 - (1481*s[18])/36 - (1159*s[19])/36 - 
       (159565*s[20])/396 - (6617*s[21])/44 + (41071*s[22])/396 + 
       (32783*s[23])/132 + (21667*s[24])/99 - (333547*s[25])/1188 + 
       (187261*s[26])/1188 + s[32]/2 + (3*s[37])/2 + 10*s[38] - 31*s[39] + 
       33*s[40] - (49*s[41])/2 + 41*s[42] + (320*s[43])/11 - (303*s[44])/11 + 
       (323*s[45])/11 - (2439*s[46])/11 + (695*s[47])/66 + (299*s[48])/66 - 
       (4216*s[49])/33 + (3645*s[50])/22 + (1889*s[51])/66 + 
       (1609*s[52])/66 - (3719*s[53])/33 + (21*s[54])/22 - (47323*s[55])/66 - 
       (1953*s[56])/11 + (28549*s[57])/132 - (34687*s[58])/99 + 
       (70847*s[59])/198 + (182768*s[60])/99 - (105481*s[61])/1188) + 
     B6[u, v, w]*HPL[{1}, 1 - w]*((51*s[4])/4 + (90*s[5])/11 + 
       (947*s[6])/44 + (25475*s[7])/132 - (1073*s[8])/66 - (488*s[9])/3 - 
       (139*s[10])/3 - (9671*s[11])/44 - (10883*s[12])/44 - (5179*s[13])/33 - 
       (97*s[14])/11 - (983*s[15])/4 - (21053*s[16])/66 - (30521*s[17])/132 - 
       (451*s[18])/18 - (1459*s[19])/36 - (143197*s[20])/396 - 
       (16639*s[21])/132 + (40279*s[22])/396 + (13273*s[23])/66 + 
       (45281*s[24])/198 - (57221*s[25])/198 + (29507*s[26])/198 - s[33]/2 + 
       (3*s[37])/2 + 10*s[38] - 31*s[39] + 33*s[40] - (49*s[41])/2 + 
       41*s[42] + (320*s[43])/11 - (303*s[44])/11 + (323*s[45])/11 - 
       (2439*s[46])/11 + (695*s[47])/66 + (299*s[48])/66 - (4216*s[49])/33 + 
       (3645*s[50])/22 + (1889*s[51])/66 + (1609*s[52])/66 - 
       (3719*s[53])/33 + (21*s[54])/22 - (47323*s[55])/66 - (1953*s[56])/11 + 
       (28549*s[57])/132 - (34687*s[58])/99 + (70847*s[59])/198 + 
       (182768*s[60])/99 - (105481*s[61])/1188) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1}, 1 - u]*(3*s[2] - 2*s[3] - 
       33*s[4] + (99*s[5])/2 + (129*s[6])/4 + (1385*s[7])/12 + (61*s[8])/4 - 
       (581*s[9])/4 - 51*s[10] - (597*s[11])/8 - (73*s[12])/8 + 
       (599*s[13])/12 - (915*s[14])/4 - (2777*s[15])/12 - (2611*s[16])/12 - 
       (7135*s[17])/24 - (5003*s[18])/36 + (4175*s[19])/36 - (4409*s[20])/9 - 
       (11755*s[21])/36 + 62*s[22] + (4399*s[23])/24 - (209*s[24])/24 + 
       (23161*s[25])/648 + (103055*s[26])/648 + 5*s[37] - (19*s[38])/2 - 
       6*s[39] + 10*s[40] - 3*s[41] + 19*s[42] - (11*s[43])/2 - (5*s[44])/2 + 
       17*s[45] - 73*s[46] + (101*s[47])/6 - (104*s[48])/3 + (194*s[49])/3 + 
       9*s[50] + (13*s[51])/2 + (97*s[52])/6 - (283*s[53])/6 + 123*s[54] - 
       (593*s[55])/2 - (415*s[56])/2 + (824*s[57])/3 - (610*s[58])/3 + 
       (1045*s[59])/6 + (1297*s[60])/18 - (6821*s[61])/81) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 1}, 1 - w]*((2063*s[5])/132 + 
       (3857*s[6])/264 + (18037*s[7])/132 - (13771*s[8])/2376 - 
       (25331*s[9])/216 - (5933*s[10])/108 - (193981*s[11])/1584 - 
       (146039*s[12])/1584 - (3964*s[13])/99 - (25249*s[14])/396 - 
       (2491*s[15])/9 - (210251*s[16])/792 - (480457*s[17])/1584 - 
       (12127*s[18])/648 - (23471*s[19])/648 - (1168261*s[20])/3564 - 
       (120556*s[21])/891 + (474631*s[22])/7128 + (71267*s[23])/1584 + 
       (2474639*s[24])/14256 - (18069439*s[25])/128304 + 
       (13815787*s[26])/128304 - 6*s[35] - 4*s[36] + (8*s[37])/3 + 
       (23*s[39])/12 - (23*s[40])/12 + (20*s[41])/3 + (5*s[42])/6 + 
       (839*s[43])/132 + (4*s[44])/11 + (4379*s[45])/132 - (3051*s[46])/22 - 
       (833*s[47])/396 - (365*s[48])/99 - (2491*s[49])/99 + (4055*s[50])/33 + 
       (653*s[51])/132 - (1915*s[52])/396 - (47303*s[53])/396 + 
       (26*s[54])/11 - (319007*s[55])/396 - (19103*s[56])/132 - 
       (15254*s[57])/33 - (35965*s[58])/594 + (168899*s[59])/1188 + 
       (1555343*s[60])/1188 - (1612103*s[61])/21384) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      (-8*s[4] + (2831*s[5])/132 - (6511*s[6])/264 + (3127*s[7])/44 - 
       (1675*s[8])/2376 - (16691*s[9])/216 - (5933*s[10])/108 + 
       (6467*s[11])/1584 + (128137*s[12])/1584 + (10748*s[13])/99 - 
       (34033*s[14])/396 - (2539*s[15])/9 - (131723*s[16])/792 - 
       (521161*s[17])/1584 - (20191*s[18])/648 - (20591*s[19])/648 - 
       (962053*s[20])/3564 - (94348*s[21])/891 + (218671*s[22])/7128 - 
       (210589*s[23])/1584 + (1092239*s[24])/14256 + (4790993*s[25])/128304 + 
       (2997787*s[26])/128304 + (8*s[37])/3 - 16*s[38] + (407*s[39])/12 - 
       (407*s[40])/12 + (68*s[41])/3 - (187*s[42])/6 - (5113*s[43])/132 + 
       (516*s[44])/11 + (6971*s[45])/132 - (747*s[46])/22 + 
       (7999*s[47])/396 - (9245*s[48])/99 + (16757*s[49])/99 + 
       (3191*s[50])/33 - (81*s[51])/44 - (5563*s[52])/396 - 
       (47687*s[53])/396 + (362*s[54])/11 - (340319*s[55])/396 - 
       (12959*s[56])/132 - (11586*s[57])/11 + (135395*s[58])/594 - 
       (150781*s[59])/1188 + (490991*s[60])/1188 - (1531151*s[61])/21384) + 
     B7[v, w, u]*HPL[{1}, 1 - w]*(4*s[3] + (35*s[4])/4 + (295*s[5])/44 + 
       (156*s[6])/11 + (34975*s[7])/264 - (225*s[8])/22 - (443*s[9])/4 - 
       (141*s[10])/4 - (12803*s[11])/88 - (6907*s[12])/44 - 
       (25205*s[13])/264 - (1225*s[14])/88 - (4427*s[15])/24 - 
       (29629*s[16])/132 - (47665*s[17])/264 - (775*s[18])/36 - 
       (1025*s[19])/36 - (102545*s[20])/396 - (71429*s[21])/792 + 
       (17881*s[22])/264 + (17723*s[23])/132 + (19999*s[24])/132 - 
       (1350875*s[25])/7128 + (720983*s[26])/7128 + (3*s[37])/2 + 5*s[38] - 
       18*s[39] + 19*s[40] - 13*s[41] + (49*s[42])/2 + (173*s[43])/11 - 
       (349*s[44])/22 + (263*s[45])/11 - (1637*s[46])/11 + (250*s[47])/33 - 
       (113*s[48])/33 - (4745*s[49])/66 + (1270*s[50])/11 + (377*s[51])/22 + 
       (518*s[52])/33 - (2681*s[53])/33 + (40*s[54])/11 - (11659*s[55])/22 - 
       (2769*s[56])/22 + (4867*s[57])/66 - (7190*s[58])/33 + 
       (2472*s[59])/11 + (489761*s[60])/396 - (58796*s[61])/891) + 
     B7[w, u, v]*HPL[{1}, 1 - w]*((13*s[4])/4 + (405*s[5])/44 + 
       (101*s[6])/11 + (36361*s[7])/264 - (225*s[8])/22 - (477*s[9])/4 - 
       (159*s[10])/4 - (12957*s[11])/88 - (6929*s[12])/44 - 
       (23291*s[13])/264 - (1907*s[14])/88 - (4501*s[15])/24 - 
       (30487*s[16])/132 - (49183*s[17])/264 - (997*s[18])/36 - 
       (767*s[19])/36 - (113105*s[20])/396 - (83639*s[21])/792 + 
       (6349*s[22])/88 + (18515*s[23])/132 + (19867*s[24])/132 - 
       (1302365*s[25])/7128 + (744941*s[26])/7128 + (3*s[37])/2 + 5*s[38] - 
       18*s[39] + 19*s[40] - 13*s[41] + (49*s[42])/2 + (173*s[43])/11 - 
       (349*s[44])/22 + (263*s[45])/11 - (1637*s[46])/11 + (250*s[47])/33 - 
       (113*s[48])/33 - (4745*s[49])/66 + (1270*s[50])/11 + (377*s[51])/22 + 
       (518*s[52])/33 - (2681*s[53])/33 + (40*s[54])/11 - (11659*s[55])/22 - 
       (2769*s[56])/22 + (4867*s[57])/66 - (7190*s[58])/33 + 
       (2472*s[59])/11 + (489761*s[60])/396 - (58796*s[61])/891) + 
     HPL[{1}, 1 - u]^2*M1[v, w, u]*(2*s[3] + (3341*s[5])/264 + 
       (3929*s[6])/528 + (37495*s[7])/264 - (38143*s[8])/4752 - 
       (54095*s[9])/432 - (12557*s[10])/216 - (428881*s[11])/3168 - 
       (375863*s[12])/3168 - (46951*s[13])/792 - (10873*s[14])/198 - 
       (9113*s[15])/36 - (420581*s[16])/1584 - (874693*s[17])/3168 - 
       (29371*s[18])/1296 - (45971*s[19])/1296 - (2373181*s[20])/7128 - 
       (967513*s[21])/7128 + (1035709*s[22])/14256 + (189311*s[23])/3168 + 
       (4880699*s[24])/28512 - (39336763*s[25])/256608 + 
       (27659623*s[26])/256608 + (5*s[37])/6 + (5*s[38])/2 - (181*s[39])/24 + 
       (181*s[40])/24 - (23*s[41])/12 + (32*s[42])/3 + (4151*s[43])/264 - 
       (965*s[44])/88 + (6803*s[45])/264 - (6301*s[46])/44 - 
       (593*s[47])/198 + (6505*s[48])/792 - (57619*s[49])/792 + 
       (16669*s[50])/132 + (53*s[51])/22 - (596*s[52])/99 - 
       (86849*s[53])/792 - (265*s[54])/11 - (69820*s[55])/99 - 
       (3853*s[56])/33 - (8930*s[57])/33 - (267767*s[58])/2376 + 
       (55285*s[59])/297 + (6523783*s[60])/4752 - (2575673*s[61])/42768) + 
     HPL[{1}, 1 - u]^5*HPL[{0, 1}, 1 - v]*(s[3] + (4615*s[5])/528 + 
       (3881*s[6])/528 + (12289*s[7])/132 - (23941*s[8])/4752 - 
       (35951*s[9])/432 - (14935*s[10])/432 - (141833*s[11])/1584 - 
       (63953*s[12])/792 - (66137*s[13])/1584 - (64079*s[14])/1584 - 
       (22523*s[15])/144 - (267095*s[16])/1584 - (16880*s[17])/99 - 
       (26185*s[18])/1296 - (4655*s[19])/324 - (194699*s[20])/891 - 
       (166285*s[21])/1782 + (682117*s[22])/14256 + (43667*s[23])/792 + 
       (737795*s[24])/7128 - (25346713*s[25])/256608 + 
       (18973777*s[26])/256608 - s[37]/12 + (5*s[38])/4 - (329*s[39])/48 + 
       (329*s[40])/48 - (251*s[41])/48 + (473*s[42])/48 + (5371*s[43])/528 - 
       (2399*s[44])/352 + (7723*s[45])/528 - (8265*s[46])/88 - 
       (269*s[47])/3168 + (2569*s[48])/3168 - (135769*s[49])/3168 + 
       (20375*s[50])/264 + (1955*s[51])/1056 + (3815*s[52])/3168 - 
       (6550*s[53])/99 - (241*s[54])/132 - (1338197*s[55])/3168 - 
       (88729*s[56])/1056 - (74507*s[57])/792 - (929161*s[58])/9504 + 
       (1253317*s[59])/9504 + (15744721*s[60])/19008 - (298703*s[61])/7128) + 
     HPL[{0, 0, 0, 0, 0, 0, 1}, 1 - v]*(-128*s[35] - 64*s[36] - 32*s[61]) + 
     HPL[{0, 0, 0, 0, 0, 0, 1}, 1 - w]*(-32*s[25] + 32*s[26] - 128*s[35] - 
       64*s[36] - 32*s[61]) + HPL[{1}, 1 - w]^2*M1[w, v, u]*
      ((-13*s[4])/12 + (427*s[5])/66 + (163*s[6])/44 + (1799*s[7])/33 - 
       (5669*s[8])/1188 - (1333*s[9])/27 - (2435*s[10])/108 - 
       (37757*s[11])/792 - (30337*s[12])/792 - (958*s[13])/99 - 
       (10957*s[14])/396 - (1036*s[15])/9 - (42373*s[16])/396 - 
       (93119*s[17])/792 - (2437*s[18])/162 - (385*s[19])/81 - 
       (259301*s[20])/1782 - (226585*s[21])/3564 + (49087*s[22])/1782 + 
       (31039*s[23])/792 + (460639*s[24])/7128 - (2936867*s[25])/64152 + 
       (2753987*s[26])/64152 - s[38]/6 - s[39] + s[40] + s[41]/6 + 
       (53*s[42])/12 + (175*s[43])/66 - (241*s[44])/132 + (215*s[45])/22 - 
       (3523*s[46])/66 - (50*s[47])/99 - (265*s[48])/198 - (1889*s[49])/198 + 
       (535*s[50])/11 + (25*s[51])/33 - (685*s[52])/396 - (9613*s[53])/198 + 
       (145*s[54])/22 - (3241*s[55])/11 - (7369*s[56])/132 - 
       (52901*s[57])/396 - (8875*s[58])/297 + (69865*s[59])/1188 + 
       (1078021*s[60])/2376 - (207601*s[61])/7128) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 1}, 1 - v]*(8*s[4] - (817*s[5])/132 + 
       (5777*s[6])/264 + (8213*s[7])/132 - (21643*s[8])/2376 - 
       (7667*s[9])/216 - (1805*s[10])/108 - (162109*s[11])/1584 - 
       (202679*s[12])/1584 - (11284*s[13])/99 + (19439*s[14])/396 - 
       (835*s[15])/9 - (115595*s[16])/792 - (125065*s[17])/1584 + 
       (23201*s[18])/648 - (39215*s[19])/648 - (199669*s[20])/3564 - 
       (12454*s[21])/891 + (249583*s[22])/7128 + (107075*s[23])/1584 + 
       (2169551*s[24])/14256 - (21035359*s[25])/128304 + 
       (8322283*s[26])/128304 - 4*s[36] + (8*s[37])/3 + 8*s[38] - 
       (169*s[39])/12 + (169*s[40])/12 - (4*s[41])/3 + (101*s[42])/6 + 
       (2567*s[43])/132 - (288*s[44])/11 + (731*s[45])/132 - 
       (2187*s[46])/22 - (4385*s[47])/396 + (4291*s[48])/99 - 
       (11971*s[49])/99 + (2543*s[50])/33 + (47*s[51])/44 - 
       (1963*s[52])/396 - (19463*s[53])/396 - (662*s[54])/11 - 
       (132959*s[55])/396 - (8351*s[56])/132 + (3832*s[57])/33 - 
       (102253*s[58])/594 + (265763*s[59])/1188 + (1312367*s[60])/1188 - 
       (528023*s[61])/21384) + HPL[{1}, 1 - w]^4*HPL[{0, 0, 1}, 1 - u]*
      (-s[1]/12 + s[2]/16 + (131*s[4])/12 - (361*s[5])/66 + (2199*s[6])/704 + 
       (69719*s[7])/2112 - (60431*s[8])/6336 - (11707*s[9])/576 + 
       (1127*s[10])/288 - (194281*s[11])/4224 - (95241*s[12])/1408 - 
       (48965*s[13])/1056 + (6571*s[14])/132 - (15625*s[15])/576 - 
       (15261*s[16])/352 + (10297*s[17])/1408 + (5407*s[18])/1728 - 
       (24169*s[19])/1728 - (95795*s[20])/9504 + (30559*s[21])/2376 + 
       (318635*s[22])/19008 + (168639*s[23])/1408 + (1354117*s[24])/38016 - 
       (28955639*s[25])/342144 + (7200731*s[26])/342144 + (47*s[38])/24 - 
       (521*s[39])/48 + (521*s[40])/48 - (1055*s[41])/96 + (1571*s[42])/96 + 
       (2593*s[43])/528 - (1927*s[44])/264 + (1781*s[45])/528 - 
       (577*s[46])/11 + (5839*s[47])/1056 - (2461*s[48])/352 - 
       (28627*s[49])/1056 + (4987*s[50])/132 + (24935*s[51])/3168 + 
       (611*s[52])/66 - (12737*s[53])/528 + (117*s[54])/44 - 
       (423827*s[55])/3168 - (1003*s[56])/22 + (74329*s[57])/396 - 
       (1154569*s[58])/9504 + (553493*s[59])/4752 + (1066103*s[60])/3168 - 
       (3911351*s[61])/171072) + HPL[{1}, 1 - u]^5*HPL[{1}, 1 - v]^2*
      (s[3]/2 + (4615*s[5])/1056 + (3881*s[6])/1056 + (12289*s[7])/264 - 
       (23941*s[8])/9504 - (35951*s[9])/864 - (14935*s[10])/864 - 
       (141833*s[11])/3168 - (63953*s[12])/1584 - (66137*s[13])/3168 - 
       (64079*s[14])/3168 - (22523*s[15])/288 - (267095*s[16])/3168 - 
       (8440*s[17])/99 - (26185*s[18])/2592 - (4655*s[19])/648 - 
       (194699*s[20])/1782 - (166285*s[21])/3564 + (682117*s[22])/28512 + 
       (43667*s[23])/1584 + (737795*s[24])/14256 - (25346713*s[25])/513216 + 
       (18973777*s[26])/513216 - s[37]/12 + (5*s[38])/8 - (329*s[39])/96 + 
       (329*s[40])/96 - (251*s[41])/96 + (473*s[42])/96 + (5371*s[43])/1056 - 
       (2399*s[44])/704 + (7723*s[45])/1056 - (8265*s[46])/176 - 
       (269*s[47])/6336 + (2569*s[48])/6336 - (135769*s[49])/6336 + 
       (20375*s[50])/528 + (1955*s[51])/2112 + (3815*s[52])/6336 - 
       (3275*s[53])/99 - (241*s[54])/264 - (1338197*s[55])/6336 - 
       (88729*s[56])/2112 - (74507*s[57])/1584 - (929161*s[58])/19008 + 
       (1253317*s[59])/19008 + (15744721*s[60])/38016 - 
       (298703*s[61])/14256) + D23[v, w, u]*((37*s[5])/11 + (111*s[6])/22 + 
       (1105*s[7])/33 - (289*s[8])/198 - (527*s[9])/18 - (92*s[10])/9 - 
       (4291*s[11])/132 - (3995*s[12])/132 - (331*s[13])/22 - 
       (1241*s[14])/66 - (158*s[15])/3 - (645*s[16])/11 - (7571*s[17])/132 - 
       (565*s[18])/54 + (13*s[19])/54 - (23896*s[20])/297 - 
       (21755*s[21])/594 + (5039*s[22])/297 + (1355*s[23])/44 + 
       (37889*s[24])/1188 - (361891*s[25])/10692 + (307495*s[26])/10692 - 
       2*s[39] + 2*s[40] - 3*s[41] + 4*s[42] + (24*s[43])/11 - 
       (35*s[44])/22 + (52*s[45])/11 - (368*s[46])/11 + (49*s[47])/22 - 
       (39*s[48])/22 - (147*s[49])/22 + (268*s[50])/11 + (247*s[51])/66 + 
       (57*s[52])/22 - (228*s[53])/11 + (120*s[54])/11 - (3033*s[55])/22 - 
       (915*s[56])/22 - (185*s[57])/33 - (8959*s[58])/198 + 
       (9265*s[59])/198 + (33899*s[60])/132 - (34249*s[61])/1782) + 
     D18[v, w, u]*(4*s[5] + 4*s[6] + 42*s[7] - (7*s[8])/3 - (115*s[9])/3 - 
       (44*s[10])/3 - 42*s[11] - 40*s[12] - 20*s[13] - 18*s[14] - 65*s[15] - 
       75*s[16] - 71*s[17] - (119*s[18])/9 - (13*s[19])/9 - (890*s[20])/9 - 
       (392*s[21])/9 + (199*s[22])/9 + 42*s[23] + (373*s[24])/9 - 
       (7267*s[25])/162 + (5575*s[26])/162 + s[38] - 5*s[39] + 5*s[40] - 
       4*s[41] + 8*s[42] + 5*s[43] - 4*s[44] + 5*s[45] - 42*s[46] + s[47] + 
       s[48] - 21*s[49] + 33*s[50] + 4*s[51] + 3*s[52] - 26*s[53] - 
       (469*s[55])/3 - 38*s[56] + (62*s[57])/3 - (532*s[58])/9 + 
       (595*s[59])/9 + (1021*s[60])/3 - (3083*s[61])/162) + 
     HPL[{1}, 1 - w]^2*Ot[u, v, w]*((38*s[4])/3 - (2063*s[5])/264 - 
       (259*s[6])/176 + (4677*s[7])/176 - (50579*s[8])/4752 - 
       (6079*s[9])/432 + (545*s[10])/54 - (141167*s[11])/3168 - 
       (243493*s[12])/3168 - (38891*s[13])/792 + (14719*s[14])/198 - 
       (163*s[15])/144 - (19367*s[16])/792 + (153889*s[17])/3168 - 
       (2093*s[18])/1296 - (10423*s[19])/1296 + (127177*s[20])/7128 + 
       (172255*s[21])/7128 + (210449*s[22])/14256 + (580351*s[23])/3168 + 
       (415567*s[24])/28512 - (22700939*s[25])/256608 + 
       (4465751*s[26])/256608 + (17*s[38])/6 - (133*s[39])/8 + 
       (133*s[40])/8 - (52*s[41])/3 + (299*s[42])/12 + (1405*s[43])/264 - 
       (5101*s[44])/528 - (81*s[45])/88 - (6467*s[46])/132 + 
       (15097*s[47])/1584 - (19685*s[48])/1584 - (55939*s[49])/1584 + 
       (360*s[50])/11 + (6229*s[51])/528 + (22475*s[52])/1584 - 
       (1442*s[53])/99 - (35*s[54])/11 - (8323*s[55])/176 - 
       (15133*s[56])/528 + (143785*s[57])/396 - (773815*s[58])/4752 + 
       (685213*s[59])/4752 + (2266261*s[60])/9504 - (80057*s[61])/4752) + 
     D17[v, w, u]*(3*s[5] + 4*s[6] + 42*s[7] - (23*s[8])/9 - (347*s[9])/9 - 
       (130*s[10])/9 - (263*s[11])/6 - (134*s[12])/3 - (131*s[13])/6 - 
       (113*s[14])/6 - (184*s[15])/3 - (449*s[16])/6 - (395*s[17])/6 - 
       (355*s[18])/27 - (35*s[19])/27 - (2761*s[20])/27 - (2357*s[21])/54 + 
       (1213*s[22])/54 + (229*s[23])/6 + (2389*s[24])/54 - 
       (11422*s[25])/243 + (8704*s[26])/243 + 2*s[38] - 5*s[39] + 5*s[40] - 
       4*s[41] + 7*s[42] + 7*s[43] - 5*s[44] + 5*s[45] - 42*s[46] - 
       (2*s[47])/3 + (19*s[48])/3 - (82*s[49])/3 + 31*s[50] + (10*s[51])/3 + 
       (8*s[52])/3 - (71*s[53])/3 - (448*s[55])/3 - 37*s[56] + (16*s[57])/3 - 
       (490*s[58])/9 + (565*s[59])/9 + (6751*s[60])/18 - (448*s[61])/27) + 
     D23[w, u, v]*((36*s[5])/11 + (21*s[6])/11 + (679*s[7])/22 - 
       (18*s[8])/11 - 27*s[9] - 12*s[10] - (306*s[11])/11 - (249*s[12])/11 - 
       (109*s[13])/11 - (162*s[14])/11 - (117*s[15])/2 - (1259*s[16])/22 - 
       (698*s[17])/11 - (13*s[18])/3 - (23*s[19])/3 - (2435*s[20])/33 - 
       (928*s[21])/33 + (169*s[22])/11 + (229*s[23])/22 + (835*s[24])/22 - 
       (9334*s[25])/297 + (6427*s[26])/297 + (18*s[43])/11 - (9*s[44])/11 + 
       (72*s[45])/11 - (342*s[46])/11 - (5*s[47])/11 - (5*s[48])/11 - 
       (73*s[49])/11 + (300*s[50])/11 + (13*s[51])/11 - (13*s[52])/11 - 
       (281*s[53])/11 + (24*s[54])/11 - (1851*s[55])/11 - (339*s[56])/11 - 
       (940*s[57])/11 - (195*s[58])/11 + (337*s[59])/11 + (18769*s[60])/66 - 
       (4838*s[61])/297) + D23[u, v, w]*((36*s[5])/11 + (21*s[6])/11 + 
       (679*s[7])/22 - (18*s[8])/11 - 27*s[9] - 12*s[10] - (306*s[11])/11 - 
       (249*s[12])/11 - (109*s[13])/11 - (162*s[14])/11 - (117*s[15])/2 - 
       (1259*s[16])/22 - (698*s[17])/11 - (13*s[18])/3 - (23*s[19])/3 - 
       (2435*s[20])/33 - (928*s[21])/33 + (169*s[22])/11 + (229*s[23])/22 + 
       (835*s[24])/22 - (9334*s[25])/297 + (6427*s[26])/297 + (18*s[43])/11 - 
       (9*s[44])/11 + (72*s[45])/11 - (342*s[46])/11 - (5*s[47])/11 - 
       (5*s[48])/11 - (73*s[49])/11 + (300*s[50])/11 + (13*s[51])/11 - 
       (13*s[52])/11 - (281*s[53])/11 + (24*s[54])/11 - (1829*s[55])/11 - 
       (339*s[56])/11 - (940*s[57])/11 - (195*s[58])/11 + (337*s[59])/11 + 
       (18769*s[60])/66 - (4838*s[61])/297) + HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 0, 1}, 1 - w]*(4*s[3] - (76*s[4])/3 + (2831*s[5])/132 + 
       (323*s[6])/88 - (1413*s[7])/88 + (54227*s[8])/2376 - (1601*s[9])/216 - 
       (1097*s[10])/27 + (136751*s[11])/1584 + (310693*s[12])/1584 + 
       (49163*s[13])/396 - (17443*s[14])/99 - (9437*s[15])/72 - 
       (8953*s[16])/396 - (397345*s[17])/1584 + (4589*s[18])/648 - 
       (7913*s[19])/648 - (368185*s[20])/3564 - (212095*s[21])/3564 - 
       (86513*s[22])/7128 - (765055*s[23])/1584 + (284465*s[24])/14256 + 
       (21205259*s[25])/128304 - (3853079*s[26])/128304 - (41*s[38])/3 + 
       (197*s[39])/4 - (197*s[40])/4 + (128*s[41])/3 - (395*s[42])/6 - 
       (3133*s[43])/132 + (12109*s[44])/264 + (1649*s[45])/44 + 
       (3875*s[46])/66 - (7993*s[47])/792 - (17563*s[48])/792 + 
       (131779*s[49])/792 - (216*s[50])/11 - (1735*s[51])/88 - 
       (22379*s[52])/792 - (4076*s[53])/99 + (582*s[54])/11 - 
       (32317*s[55])/88 - (4259*s[56])/264 - (258697*s[57])/198 + 
       (1051639*s[58])/2376 - (891613*s[59])/2376 - (1294357*s[60])/4752 - 
       (107989*s[61])/7128) + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 1}, 1 - w]*
      ((-44*s[25])/3 + (44*s[26])/3 - 56*s[35] - 28*s[36] - (44*s[61])/3) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 1}, 1 - v]*((-69*s[5])/44 - 
       (175*s[6])/44 + (2203*s[7])/88 - (23*s[8])/11 - (41*s[9])/2 - 
       15*s[10] - (226*s[11])/11 - (144*s[12])/11 - (243*s[13])/44 - 
       (289*s[14])/44 - (1355*s[15])/24 - (4285*s[16])/88 - (1389*s[17])/22 + 
       (35*s[18])/4 - (95*s[19])/4 - (601*s[20])/11 - (329*s[21])/33 + 
       (2347*s[22])/198 - (4695*s[23])/88 + (12433*s[24])/264 - 
       (96485*s[25])/3564 + (41945*s[26])/3564 + (2*s[37])/3 + (23*s[39])/4 - 
       (23*s[40])/4 + (15*s[41])/4 - (33*s[42])/4 + (15*s[43])/44 + 
       (163*s[44])/44 + (423*s[45])/44 - (577*s[46])/22 - (83*s[47])/44 + 
       (4*s[48])/11 + (21*s[49])/11 + (376*s[50])/11 - (215*s[51])/132 - 
       (60*s[52])/11 - (1325*s[53])/44 - (50*s[54])/11 - (28987*s[55])/132 - 
       (182*s[56])/11 - (8359*s[57])/33 + (5965*s[58])/198 - (827*s[59])/99 + 
       (89009*s[60])/264 - (15281*s[61])/1188) + HPL[{1}, 1 - w]^3*
      Omega2[u, v, w]*((19*s[4])/3 - (128*s[5])/33 - (223*s[6])/44 + 
       (493*s[7])/33 - (7255*s[8])/1188 - (941*s[9])/108 + (98*s[10])/27 - 
       (4549*s[11])/198 - (32069*s[12])/792 - (16699*s[13])/792 + 
       (33569*s[14])/792 - (293*s[15])/36 - (12037*s[16])/792 + 
       (2323*s[17])/99 - (589*s[18])/324 - (1799*s[19])/324 + 
       (4007*s[20])/1782 + (82721*s[21])/7128 + (61025*s[22])/7128 + 
       (10435*s[23])/99 + (28561*s[24])/3564 - (1460351*s[25])/32076 + 
       (64859*s[26])/8019 + (5*s[38])/3 - (35*s[39])/4 + (35*s[40])/4 - 
       (107*s[41])/12 + (77*s[42])/6 + (283*s[43])/132 - (155*s[44])/33 + 
       (7*s[45])/44 - (841*s[46])/33 + (596*s[47])/99 - (3457*s[48])/396 - 
       (3895*s[49])/198 + (1361*s[50])/66 + (821*s[51])/132 + 
       (2707*s[52])/396 - (3847*s[53])/396 - (287*s[54])/33 - 
       (1593*s[55])/44 - (166*s[56])/33 + (69935*s[57])/396 - 
       (95567*s[58])/1188 + (88985*s[59])/1188 + (330389*s[60])/2376 - 
       (8761*s[61])/1188) + HPL[{1}, 1 - v]^2*M1[w, u, v]*
      ((-69*s[5])/88 - (175*s[6])/88 + (2203*s[7])/176 - (23*s[8])/22 - 
       (41*s[9])/4 - (15*s[10])/2 - (113*s[11])/11 - (72*s[12])/11 - 
       (243*s[13])/88 - (289*s[14])/88 - (1355*s[15])/48 - (4285*s[16])/176 - 
       (1389*s[17])/44 + (35*s[18])/8 - (95*s[19])/8 - (601*s[20])/22 - 
       (329*s[21])/66 + (2347*s[22])/396 - (4695*s[23])/176 + 
       (12433*s[24])/528 - (96485*s[25])/7128 + (41945*s[26])/7128 + 
       s[37]/3 + (23*s[39])/8 - (23*s[40])/8 + (15*s[41])/8 - (33*s[42])/8 + 
       (15*s[43])/88 + (163*s[44])/88 + (423*s[45])/88 - (577*s[46])/44 - 
       (83*s[47])/88 + (2*s[48])/11 + (21*s[49])/22 + (188*s[50])/11 - 
       (215*s[51])/264 - (30*s[52])/11 - (1325*s[53])/88 - (25*s[54])/11 - 
       (28987*s[55])/264 - (91*s[56])/11 - (8359*s[57])/66 + 
       (5965*s[58])/396 - (827*s[59])/198 + (89009*s[60])/528 - 
       (15281*s[61])/2376) + D18[w, u, v]*(s[4] + 2*s[6] + (19*s[7])/2 - 
       (7*s[8])/3 - (22*s[9])/3 - (5*s[10])/3 - 10*s[11] - 11*s[12] - 
       7*s[13] - (27*s[15])/2 - (33*s[16])/2 - 13*s[17] - (11*s[18])/9 - 
       (4*s[19])/9 - (143*s[20])/9 - (47*s[21])/9 + (43*s[22])/9 + 
       (33*s[23])/2 + (167*s[24])/18 - (1124*s[25])/81 + (575*s[26])/81 - 
       (3*s[39])/2 + (3*s[40])/2 - (3*s[41])/2 + (7*s[42])/2 + (3*s[43])/2 - 
       (3*s[44])/4 + s[45]/2 - 10*s[46] + (3*s[47])/4 + s[48]/4 - 
       (21*s[49])/4 + 8*s[50] + (19*s[51])/12 + (3*s[52])/4 - 7*s[53] - 
       (407*s[55])/12 - (39*s[56])/4 + (53*s[57])/3 - (583*s[58])/36 + 
       (655*s[59])/36 + (571*s[60])/8 - (394*s[61])/81) + 
     D25[w, u, v]*(2*s[38] + 8*s[39] - 8*s[40] + 8*s[41] - 16*s[42] + 
       6*s[44] + 8*s[45] - 8*s[47] + 16*s[48] + 10*s[49] - 8*s[50] - 
       8*s[51] + 2*s[52] + 10*s[55] - 16*s[56] - 96*s[57] + 8*s[58] - 
       38*s[59] + (232*s[60])/3 - (119*s[61])/27) + 
     B9[v, w, u]*HPL[{1}, 1 - w]*(2*s[38] + 8*s[39] - 8*s[40] + 8*s[41] - 
       16*s[42] + 6*s[44] + 8*s[45] - 8*s[47] + 16*s[48] + 10*s[49] - 
       8*s[50] - 8*s[51] + 2*s[52] + 10*s[55] - 16*s[56] - 96*s[57] + 
       8*s[58] - 38*s[59] + (232*s[60])/3 - (119*s[61])/27) + 
     B9[w, u, v]*HPL[{1}, 1 - w]*(-8*s[4] + 6*s[6] + 6*s[7] + 10*s[8] - 
       14*s[9] - 8*s[10] - 10*s[11] - 12*s[12] - 30*s[13] - 42*s[14] + 
       26*s[15] + 6*s[16] + 2*s[17] - (8*s[18])/3 + (14*s[19])/3 - 
       (68*s[20])/3 - (58*s[21])/3 + (22*s[22])/3 - 164*s[23] + 8*s[24] + 
       (67*s[25])/27 + (293*s[26])/27 + 2*s[38] + 8*s[39] - 8*s[40] + 
       8*s[41] - 16*s[42] + 6*s[44] + 8*s[45] - 8*s[47] + 16*s[48] + 
       10*s[49] - 8*s[50] - 8*s[51] + 2*s[52] + 10*s[55] - 16*s[56] - 
       96*s[57] + 8*s[58] - 38*s[59] + (232*s[60])/3 - (119*s[61])/27) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 1 - v]*(16*s[1] + (8*s[21])/3 + 
       8*s[23] - (4*s[25])/3 - (4*s[26])/3 - 4*s[45] + 16*s[57] - 
       (8*s[58])/3 + (8*s[59])/3 - (28*s[60])/3 - (32*s[61])/9) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - v]*
      ((-20*s[22])/3 - (64*s[25])/27 + (64*s[26])/27 - 4*s[37] - 
       (64*s[61])/27) + HPL[{1}, 1 - w]^2*Nt[u, v, w]*
      ((19*s[4])/6 - (73*s[5])/33 - (237*s[6])/88 + (431*s[7])/88 - 
       (6931*s[8])/2376 - (455*s[9])/216 + (76*s[10])/27 - (3631*s[11])/396 - 
       (29081*s[12])/1584 - (15391*s[13])/1584 + (35513*s[14])/1584 + 
       (47*s[15])/36 - (4351*s[16])/1584 + (6773*s[17])/396 - 
       (337*s[18])/648 - (1403*s[19])/648 + (13159*s[20])/1782 + 
       (118901*s[21])/14256 + (42773*s[22])/14256 + (41119*s[23])/792 + 
       (2711*s[24])/3564 - (1297289*s[25])/64152 + (68113*s[26])/32076 + 
       (5*s[38])/6 - (35*s[39])/8 + (35*s[40])/8 - (107*s[41])/24 + 
       (77*s[42])/12 + (247*s[43])/264 - (301*s[44])/132 - (41*s[45])/88 - 
       (335*s[46])/33 + (1141*s[47])/396 - (3427*s[48])/792 - 
       (3643*s[49])/396 + (175*s[50])/22 + (265*s[51])/88 + 
       (2653*s[52])/792 - (2425*s[53])/792 - (48*s[54])/11 - 
       (1253*s[55])/264 - (37*s[56])/132 + (75641*s[57])/792 - 
       (91661*s[58])/2376 + (83117*s[59])/2376 + (214211*s[60])/4752 - 
       (5345*s[61])/2376) + D17[w, u, v]*(4*s[6] + (9*s[7])/2 - s[8] - 
       3*s[9] - s[10] - 5*s[11] - 4*s[12] - 6*s[13] - 6*s[14] - 
       (37*s[15])/6 - (19*s[16])/2 - 11*s[17] + 2*s[18] - s[19] - 7*s[20] - 
       (8*s[21])/3 + 2*s[22] - (21*s[23])/2 + (17*s[24])/2 - (41*s[25])/6 + 
       (9*s[26])/2 + s[42] + 2*s[43] - s[44]/2 - 4*s[46] - (3*s[47])/2 + 
       (9*s[48])/2 - (11*s[49])/2 + 2*s[50] - (5*s[51])/6 - s[52]/2 - 
       3*s[53] - (101*s[55])/6 - (13*s[56])/2 - 13*s[57] + s[58]/2 + 
       (7*s[59])/2 + (553*s[60])/12 - (47*s[61])/27) + 
     B4[w, u, v]*HPL[{1}, 1 - u]*(s[7]/6 + s[8]/9 + s[9]/9 - s[10]/9 + 
       s[11]/6 - (2*s[12])/3 - (5*s[13])/3 + s[14]/6 + (13*s[15])/6 + 
       (5*s[16])/6 + 2*s[17] - (52*s[18])/27 + (49*s[19])/27 + 
       (61*s[20])/54 - (49*s[21])/27 - (5*s[22])/54 + (41*s[23])/6 - 
       (161*s[24])/54 + (367*s[25])/486 + (298*s[26])/243 + s[47]/6 + 
       s[48]/6 + (5*s[49])/6 - s[50] - s[51]/2 + s[52]/3 + (5*s[53])/3 + 
       (7*s[55])/2 - (5*s[56])/2 + 13*s[57] - (107*s[58])/18 + 
       (65*s[59])/18 - (443*s[60])/36 - (235*s[61])/162) + 
     D16[w, u, v]*(s[7]/6 + s[8]/9 + s[9]/9 - s[10]/9 + s[11]/6 - 
       (2*s[12])/3 - (5*s[13])/3 - (5*s[14])/6 + (13*s[15])/6 + (5*s[16])/6 + 
       2*s[17] - (52*s[18])/27 + (49*s[19])/27 + (7*s[20])/54 - 
       (49*s[21])/27 - (5*s[22])/54 + (23*s[23])/6 - (161*s[24])/54 + 
       (367*s[25])/486 + (298*s[26])/243 + s[47]/6 + s[48]/6 + (5*s[49])/6 - 
       s[50] - s[51]/2 + s[52]/3 + (5*s[53])/3 + (5*s[55])/2 - (5*s[56])/2 + 
       10*s[57] - (89*s[58])/18 + (47*s[59])/18 - (371*s[60])/36 - 
       (235*s[61])/162) + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1}, 1 - w]*
      ((-4*s[25])/3 + (4*s[26])/3 - 8*s[35] - 4*s[36] - (4*s[61])/3) + 
     D16[v, w, u]*(s[6] + (2*s[8])/9 + (2*s[9])/9 + (7*s[10])/9 - s[11]/6 - 
       (5*s[12])/6 - (7*s[13])/6 - (5*s[14])/3 + (4*s[15])/3 + (5*s[16])/6 + 
       (7*s[17])/3 - (38*s[18])/27 + (59*s[19])/27 - (25*s[20])/54 - 
       (157*s[21])/54 - (5*s[22])/27 - (5*s[23])/3 - (53*s[24])/27 + 
       (593*s[25])/486 + (491*s[26])/243 + s[47]/6 + s[48]/6 + (5*s[49])/6 - 
       s[50] - s[51]/2 + s[52]/3 + (5*s[53])/3 - 2*s[54] + (7*s[55])/2 - 
       (5*s[56])/2 + 13*s[57] - (101*s[58])/18 + (59*s[59])/18 - 
       (467*s[60])/36 - (211*s[61])/162) + D20[v, w, u]*
      (s[5]/2 + s[6]/2 + 3*s[7] - s[8]/6 - (19*s[9])/6 - (5*s[10])/6 - 
       3*s[11] - (5*s[12])/2 - (3*s[13])/2 - (3*s[14])/2 - (9*s[15])/2 - 
       (11*s[16])/2 - (11*s[17])/2 - (17*s[18])/18 + s[19]/9 - (61*s[20])/9 - 
       (31*s[21])/9 + (31*s[22])/18 + (5*s[23])/2 + (61*s[24])/18 - 
       (1123*s[25])/324 + (943*s[26])/324 - s[39]/2 + s[40]/2 - s[41]/2 + 
       s[42]/2 + s[43]/2 - s[44]/4 + s[45]/2 - 3*s[46] + s[47]/4 - s[48]/4 - 
       (7*s[49])/4 + 2*s[50] + s[51]/12 + s[52]/4 - 2*s[53] - (47*s[55])/4 - 
       (9*s[56])/4 + (2*s[57])/3 - (133*s[58])/36 + (169*s[59])/36 + 
       (611*s[60])/24 - (137*s[61])/162) + D8[v, w, u]*
      (s[49] - s[56] - s[58] + s[59] - (19*s[60])/6 - (35*s[61])/54) + 
     D12[w, v, u]*(s[6] + s[7] - s[11] - s[12] - s[13] - 2*s[14] - s[15] - 
       2*s[16] - 2*s[17] - (2*s[18])/3 + (2*s[19])/3 - (5*s[20])/3 - s[21] + 
       s[22]/3 + 2*s[23] - (29*s[25])/27 + (29*s[26])/27 + s[48] - s[55] - 
       s[56] + s[57] - s[58] + (5*s[60])/6 - (17*s[61])/27) + 
     D22[w, u, v]*(s[4] - (15*s[5])/11 + (87*s[6])/22 + (61*s[7])/33 - 
       (7*s[8])/22 + s[9]/2 + 2*s[10] - (293*s[11])/44 - (465*s[12])/44 - 
       (877*s[13])/66 + (113*s[14])/22 + (17*s[15])/3 - (56*s[16])/33 + 
       (905*s[17])/132 + (89*s[18])/18 - (71*s[19])/18 + (1094*s[20])/99 + 
       (1253*s[21])/198 + (28*s[22])/33 - (215*s[23])/132 + 
       (1141*s[24])/132 - (49349*s[25])/3564 + (9137*s[26])/3564 + s[38] - 
       2*s[39] + 2*s[40] - s[41] + 2*s[42] + (31*s[43])/11 - (32*s[44])/11 - 
       (8*s[45])/11 - (72*s[46])/11 - (46*s[47])/33 + (185*s[48])/33 - 
       (401*s[49])/33 + (18*s[50])/11 + (14*s[51])/33 + (19*s[52])/33 + 
       (2*s[53])/33 - (10*s[54])/11 + (37*s[55])/11 - (54*s[56])/11 + 
       (1252*s[57])/33 - (584*s[58])/33 + (544*s[59])/33 + (5428*s[60])/99 - 
       (448*s[61])/891) + D22[v, w, u]*((7*s[5])/11 + (21*s[6])/22 + 
       (226*s[7])/33 - (7*s[8])/22 - (11*s[9])/2 - 2*s[10] - (403*s[11])/44 - 
       (487*s[12])/44 - (349*s[13])/66 - (63*s[14])/22 - 5*s[15] - 
       (353*s[16])/33 - (481*s[17])/132 - (103*s[18])/18 + (67*s[19])/18 - 
       (1744*s[20])/99 - (1981*s[21])/198 + (116*s[22])/33 + 
       (3019*s[23])/132 + (503*s[24])/132 - (27371*s[25])/3564 + 
       (27551*s[26])/3564 + s[38] - 2*s[39] + 2*s[40] - s[41] + 2*s[42] + 
       (31*s[43])/11 - (32*s[44])/11 - (8*s[45])/11 - (72*s[46])/11 - 
       (46*s[47])/33 + (185*s[48])/33 - (401*s[49])/33 + (18*s[50])/11 + 
       (14*s[51])/33 + (19*s[52])/33 + (2*s[53])/33 - (10*s[54])/11 + 
       (37*s[55])/11 - (54*s[56])/11 + (1252*s[57])/33 - (584*s[58])/33 + 
       (544*s[59])/33 + (5428*s[60])/99 - (448*s[61])/891) + 
     HPL[{1}, 1 - w]^5*HPL[{0, 1}, 1 - u]*(-s[1]/120 + (15*s[4])/4 - 
       (563*s[5])/176 - (355*s[6])/176 - (613*s[7])/528 - (5359*s[8])/1584 + 
       (583*s[9])/144 + (749*s[10])/144 - (1511*s[11])/528 - (391*s[12])/33 - 
       (1581*s[13])/176 + (12523*s[14])/528 + (45*s[15])/4 + 
       (983*s[16])/132 + (6341*s[17])/264 + (2063*s[18])/432 - 
       (467*s[19])/108 + (57707*s[20])/2376 + (44441*s[21])/2376 - 
       (2987*s[22])/4752 + (15083*s[23])/528 - (3467*s[24])/4752 - 
       (1286125*s[25])/85536 - (410303*s[26])/85536 + (5*s[38])/8 - 
       (37*s[39])/16 + (37*s[40])/16 - (29*s[41])/16 + (53*s[42])/16 + 
       (43*s[43])/176 - (417*s[44])/352 - (37*s[45])/176 - (381*s[46])/88 + 
       (1219*s[47])/1056 - (1009*s[48])/352 - (4097*s[49])/1056 + 
       (965*s[50])/264 + (1697*s[51])/1056 + (1867*s[52])/1056 - 
       (313*s[53])/264 - (485*s[54])/132 + (727*s[55])/1056 + 
       (815*s[56])/352 + (3403*s[57])/66 - (21143*s[58])/1056 + 
       (18683*s[59])/1056 + (33271*s[60])/2112 - (2719*s[61])/7128) + 
     D11[w, v, u]*((2*s[8])/3 + (2*s[9])/3 + s[10]/3 + s[13] - s[14] - 
       s[16] - 2*s[17] + (7*s[18])/9 - (4*s[19])/9 - (8*s[20])/9 - 
       (2*s[21])/9 - (2*s[22])/9 + 3*s[23] + s[24]/9 + (37*s[25])/81 - 
       (19*s[26])/81 - 2*s[56] + (4*s[57])/3 - (2*s[58])/9 + (2*s[59])/9 - 
       (10*s[60])/3 - (29*s[61])/81) + D2[v, w, u]*(-s[25]/3 + s[26]/3 + 
       s[37] - s[61]/3) + D1[w, v, u]*((2*s[21])/3 + 2*s[23] - s[25]/3 - 
       s[26]/3 + 2*s[57] - s[61]/3) + D13[w, u, v]*(s[13] - s[18]/3 + 
       s[19]/3 - s[20]/3 + (2*s[21])/3 + s[23] - (2*s[25])/27 - 
       (16*s[26])/27 + s[37] + s[49] + s[51] + 2*s[54] + 4*s[55] - s[56] + 
       s[58] - 3*s[59] - (5*s[60])/2 - s[61]/3) + 
     D10[v, w, u]*(s[52] + 2*s[53] + 6*s[55] + 2*s[57] - (4*s[58])/3 - 
       (5*s[59])/3 + (10*s[60])/3 - (7*s[61])/27) + 
     B2[v, w, u]*HPL[{1}, 1 - w]*(s[52] + 2*s[53] + 6*s[55] + 2*s[57] - 
       (4*s[58])/3 - (5*s[59])/3 + (10*s[60])/3 - (7*s[61])/27) + 
     D10[w, v, u]*(-s[5] - s[11] - 3*s[12] - 3*s[13] + s[14] + 6*s[15] + 
       3*s[16] + 7*s[17] + 2*s[20] + (8*s[21])/3 + s[22]/3 - 9*s[23] - 
       s[24]/3 - (76*s[25])/27 + (4*s[26])/27 + s[52] + 2*s[53] + 6*s[55] + 
       2*s[57] - (4*s[58])/3 - (5*s[59])/3 + (10*s[60])/3 - (7*s[61])/27) + 
     B2[w, v, u]*HPL[{1}, 1 - w]*(-s[5] - s[11] - 3*s[12] - 3*s[13] + s[14] + 
       6*s[15] + 3*s[16] + 7*s[17] + 2*s[20] + 2*s[21] + s[22]/3 - 9*s[23] - 
       s[24]/3 - (58*s[25])/27 + (4*s[26])/27 + s[52] + 2*s[53] + 6*s[55] + 
       2*s[57] - (4*s[58])/3 - (5*s[59])/3 + (10*s[60])/3 - (7*s[61])/27) + 
     D10[u, v, w]*(s[3] + 2*s[23] - (2*s[24])/3 + 2*s[57] - (2*s[58])/3 + 
       (2*s[59])/3 - (7*s[60])/3 - (2*s[61])/9) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^5*((15*s[4])/8 - (563*s[5])/352 - 
       (355*s[6])/352 - (613*s[7])/1056 - (5359*s[8])/3168 + (583*s[9])/288 + 
       (749*s[10])/288 - (1511*s[11])/1056 - (391*s[12])/66 - 
       (1581*s[13])/352 + (12523*s[14])/1056 + (45*s[15])/8 + 
       (983*s[16])/264 + (6341*s[17])/528 + (2063*s[18])/864 - 
       (467*s[19])/216 + (57707*s[20])/4752 + (44441*s[21])/4752 - 
       (2987*s[22])/9504 + (15083*s[23])/1056 - (3467*s[24])/9504 - 
       (1286125*s[25])/171072 - (410303*s[26])/171072 - s[37]/12 + 
       (5*s[38])/16 - (37*s[39])/32 + (37*s[40])/32 - (29*s[41])/32 + 
       (53*s[42])/32 + (43*s[43])/352 - (417*s[44])/704 - (37*s[45])/352 - 
       (381*s[46])/176 + (1219*s[47])/2112 - (1009*s[48])/704 - 
       (4097*s[49])/2112 + (965*s[50])/528 + (1697*s[51])/2112 + 
       (1867*s[52])/2112 - (313*s[53])/528 - (485*s[54])/264 + 
       (727*s[55])/2112 + (815*s[56])/704 + (3403*s[57])/132 - 
       (21143*s[58])/2112 + (18683*s[59])/2112 + (33271*s[60])/4224 - 
       (943*s[61])/4752) + D16[u, v, w]*(-s[18]/3 + s[19]/3 + (2*s[20])/3 - 
       (8*s[25])/27 + (8*s[26])/27 + 2*s[54] - (2*s[60])/3 - (4*s[61])/27) + 
     B4[u, v, w]*HPL[{1}, 1 - w]*(-s[18]/3 + s[19]/3 + (2*s[20])/3 - 
       (8*s[25])/27 + (8*s[26])/27 + 2*s[54] - (2*s[60])/3 - (4*s[61])/27) + 
     D9[u, v, w]*(2*s[54] + (2*s[58])/3 + s[59]/3 + (2*s[60])/3 - 
       (4*s[61])/27) + B4[v, w, u]*HPL[{1}, 1 - w]*(2*s[54] + (2*s[58])/3 + 
       s[59]/3 + (2*s[60])/3 - (4*s[61])/27) + B4[w, u, v]*HPL[{1}, 1 - w]*
      (s[13] + s[18]/3 - s[19]/3 - (2*s[20])/3 + s[23] + (2*s[24])/3 - 
       (4*s[25])/27 + (4*s[26])/27 + 2*s[54] + (2*s[58])/3 + s[59]/3 + 
       (2*s[60])/3 - (4*s[61])/27) + D9[u, w, v]*(s[13] + s[18]/3 - s[19]/3 + 
       s[20]/3 + s[23] + (2*s[24])/3 - (4*s[25])/27 + (4*s[26])/27 + 
       2*s[54] + (2*s[58])/3 + s[59]/3 + (2*s[60])/3 - (4*s[61])/27) + 
     B2[u, w, v]*HPL[{1}, 1 - u]*((-2*s[57])/3 + (4*s[58])/9 - (4*s[59])/9 - 
       s[60] - (11*s[61])/81) + B2[w, u, v]*HPL[{1}, 1 - u]*
      (-s[25]/9 + s[26]/9 - s[61]/9) + D11[w, u, v]*(s[59] - s[61]/9) + 
     B2[v, u, w]*HPL[{1}, 1 - w]*(s[59] - s[61]/9) + 
     B2[w, u, v]*HPL[{1}, 1 - w]*((-2*s[21])/3 - s[25]/9 + (7*s[26])/9 + 
       s[59] - s[61]/9) + D11[v, u, w]*(-s[21] - s[25]/9 + (10*s[26])/9 + 
       s[59] - s[61]/9) + D24[v, w, u]*(2*s[15] + s[16] + s[17] + s[18]/3 - 
       s[19]/3 + (4*s[20])/3 + (7*s[21])/3 - s[23] - (25*s[25])/27 - 
       (38*s[26])/27 + s[49] + s[51] + 2*s[54] + 4*s[55] - s[56] + s[58] - 
       3*s[59] - (5*s[60])/2 - s[61]/9) + D24[w, u, v]*
      (s[13] - s[18]/3 + s[19]/3 - s[20]/3 + (2*s[21])/3 + s[23] + 
       (4*s[25])/27 - (22*s[26])/27 + s[49] + s[51] + 2*s[54] + 4*s[55] - 
       s[56] + s[58] - 3*s[59] - (5*s[60])/2 - s[61]/9) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^5*
      (-s[5]/8 - s[11]/8 - (3*s[12])/8 - (3*s[13])/8 + s[14]/8 + 
       (3*s[15])/4 + (3*s[16])/8 + (7*s[17])/8 + s[20]/4 + s[21]/6 - 
       (9*s[23])/8 - s[24]/24 - (11*s[25])/72 + s[26]/9 + s[44]/10 + 
       s[52]/4 + s[53]/2 + (3*s[55])/2 + s[56]/4 + s[57]/2 - s[58]/3 - 
       s[59]/6 + (5*s[60])/6 - s[61]/12) + D8[w, u, v]*
      (s[41] - s[57] + s[58]/3 - s[59]/3 + (5*s[60])/6 - (2*s[61])/27) + 
     D4[w, v, u]*(s[14] - s[61]/27) + D4[v, w, u]*(s[22]/3 - (28*s[25])/27 + 
       s[26]/27 - s[61]/27) + B1[v, u, w]*HPL[{1}, 1 - w]*
      (s[22]/3 - (28*s[25])/27 + s[26]/27 - s[61]/27) + 
     D3[v, u, w]*(s[22]/3 - s[25]/27 + s[26]/27 - s[61]/27) + 
     B1[v, u, w]*HPL[{1}, 1 - u]*(s[22]/3 - s[25]/27 + s[26]/27 - s[61]/27) + 
     D11[v, w, u]*(-s[23] + s[24]/3 - (5*s[57])/3 + (7*s[58])/9 - 
       (7*s[59])/9 + s[60]/6 - (2*s[61])/81) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^5*HPL[{1}, 1 - w]*(s[25]/90 - s[26]/90 + (3*s[37])/10 + 
       s[61]/90) + D7[w, u, v]*(s[9] - s[22]/3 + s[25]/27 - s[26]/27 + 
       s[61]/27) + HPL[{1}, 1 - u]^5*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      (-s[11]/8 + s[22]/24 - s[23]/8 + s[24]/24 + (7*s[25])/1080 - 
       (7*s[26])/1080 + (3*s[37])/10 + s[44]/10 + s[52]/8 + s[55]/8 - 
       (5*s[57])/24 + (5*s[58])/36 - (5*s[59])/36 - s[60]/12 + 
       (247*s[61])/6480) + D5[w, v, u]*(s[25]/18 - s[26]/18 + s[35] + 
       s[61]/18) + B2[w, v, u]*HPL[{1}, 1 - u]*(s[22]/3 + (2*s[25])/27 - 
       (2*s[26])/27 + (2*s[61])/27) + D8[w, v, u]*(-s[6] + s[9] - s[10] + 
       2*s[14] - s[19] + 2*s[20] - s[22]/3 - 2*s[23] - s[24]/3 + 
       (29*s[25])/54 - (29*s[26])/54 + s[50] + s[56] - 2*s[57] - s[58]/3 + 
       s[59]/3 - (13*s[60])/6 + (5*s[61])/54) + 
     D12[v, w, u]*(s[47] + s[51] + s[55] + (2*s[57])/3 - (4*s[58])/9 - 
       (14*s[59])/9 + 4*s[60] + (8*s[61])/81) + 
     D14[w, u, v]*(s[25]/9 - s[26]/9 + 3*s[37] + s[61]/9) + 
     D10[v, u, w]*(-2*s[23] + (2*s[24])/3 + s[52] - 2*s[57] + (4*s[58])/3 - 
       (4*s[59])/3 + (2*s[60])/3 + s[61]/9) + B2[v, u, w]*HPL[{1}, 1 - u]*
      (-2*s[23] + (2*s[24])/3 + s[52] - 2*s[57] + (4*s[58])/3 - (4*s[59])/3 + 
       (2*s[60])/3 + s[61]/9) + D10[u, w, v]*(s[4] - 2*s[56] - s[57] + 
       s[58]/3 - s[59]/3 + (7*s[60])/6 + s[61]/9) + 
     D9[v, w, u]*(-s[18]/3 + s[19]/3 - s[20]/3 - s[23] - (2*s[24])/3 + 
       (4*s[25])/27 - (4*s[26])/27 - 2*s[54] + s[57] - (2*s[58])/3 - 
       s[59]/3 - (2*s[60])/3 + (4*s[61])/27) + 
     D9[v, u, w]*(s[18]/3 - s[19]/3 - (2*s[20])/3 + (8*s[25])/27 - 
       (8*s[26])/27 - 2*s[54] + s[57] + (2*s[60])/3 + (4*s[61])/27) + 
     D2[u, w, v]*((2*s[22])/3 + (7*s[25])/27 - (7*s[26])/27 + s[37] + 
       (7*s[61])/27) + B2[v, w, u]*HPL[{1}, 1 - u]*(s[23] - s[24]/3 + s[57] - 
       (2*s[58])/3 + (2*s[59])/3 - s[60]/3 + (5*s[61])/18) + 
     D11[u, w, v]*(s[23] - s[24]/3 + s[57] - (2*s[58])/3 + (2*s[59])/3 + 
       (2*s[60])/3 + (5*s[61])/18) + D10[w, u, v]*(s[21] + s[24] - 
       (7*s[25])/18 - (11*s[26])/18 + s[52] - 3*s[57] + 2*s[58] - 3*s[59] + 
       s[60] + (5*s[61])/18) + D1[v, w, u]*(s[25]/3 - s[26]/3 + s[61]/3) + 
     D1[u, w, v]*(s[22] + s[25]/3 - s[26]/3 + s[61]/3) + 
     B3[v, w, u]*HPL[{1}, 1 - u]*(s[22] + s[25]/3 - s[26]/3 + s[61]/3) + 
     D5[w, u, v]*(s[22]/3 + (11*s[25])/27 - (11*s[26])/27 + (11*s[61])/27) + 
     D1[u, v, w]*(s[45] - 2*s[57] + (2*s[58])/3 - (2*s[59])/3 + (7*s[60])/3 + 
       (5*s[61])/9) + D18[u, v, w]*(-s[39]/2 + s[40]/2 - s[41]/2 + 
       (3*s[42])/2 + s[43]/2 - s[44]/4 - s[45]/2 + s[47]/4 - s[48]/4 - 
       (7*s[49])/4 + s[51]/12 + s[52]/4 + (47*s[55])/12 + (7*s[56])/4 + 
       (22*s[57])/3 - (29*s[58])/36 + (65*s[59])/36 - (65*s[60])/24 + 
       (119*s[61])/162) + D11[u, v, w]*(s[9] + s[16] + s[17] - s[21] - 
       s[22]/3 - s[24] + (23*s[25])/54 + (31*s[26])/54 + 3*s[57] - 2*s[58] + 
       s[59] - 2*s[60] + (41*s[61])/54) + D21[w, u, v]*
      (s[4] + s[7]/6 - (4*s[8])/9 - (4*s[9])/9 - (5*s[10])/9 + s[11]/3 + 
       (7*s[12])/6 + (3*s[13])/2 + (5*s[14])/6 - (25*s[15])/6 - 2*s[16] - 
       (10*s[17])/3 + (7*s[18])/27 - (22*s[19])/27 - (35*s[20])/27 - 
       (43*s[21])/54 + (11*s[22])/54 + (5*s[23])/2 + (41*s[24])/54 + 
       (221*s[25])/486 + (85*s[26])/486 - s[49] + 2*s[50] - 4*s[54] + 
       4*s[56] - (16*s[57])/3 + (17*s[58])/9 - (17*s[59])/9 + (61*s[60])/6 + 
       (80*s[61])/81) + D4[u, w, v]*s[61] - 
     (B1[w, u, v]*HPL[{1}, 1 - w]*s[61])/27 + 
     D3[u, v, w]*(s[25] - s[26] + s[36] + s[61]) + 
     D21[v, w, u]*(s[3] - s[5] - 2*s[6] - s[7]/6 - (2*s[8])/9 - (2*s[9])/9 - 
       (16*s[10])/9 - s[11]/3 - (7*s[12])/6 - (5*s[13])/2 + (31*s[14])/6 + 
       (25*s[15])/6 + 3*s[16] + (16*s[17])/3 + (35*s[18])/27 - 
       (83*s[19])/27 + (149*s[20])/27 + (307*s[21])/54 + (19*s[22])/54 - 
       (25*s[23])/2 + (43*s[24])/54 - (1451*s[25])/486 - (1231*s[26])/486 + 
       s[41] - 3*s[49] + 3*s[50] - 8*s[54] + 8*s[56] - (16*s[57])/3 + 
       (23*s[58])/9 - (23*s[59])/9 + (79*s[60])/6 + (92*s[61])/81) + 
     D21[u, v, w]*(-s[6] - s[7]/6 - s[10] + s[12]/2 + (5*s[13])/6 + 
       (3*s[14])/2 - (5*s[15])/2 - (8*s[16])/3 - (10*s[17])/3 + 
       (17*s[18])/9 - (26*s[19])/9 - (4*s[20])/9 + (41*s[21])/18 + s[22]/6 - 
       (37*s[23])/6 + (35*s[24])/6 - (98*s[25])/81 - (127*s[26])/81 - 
       s[47]/3 - s[48]/3 - (8*s[49])/3 + 2*s[50] - s[51] + (4*s[52])/3 - 
       (4*s[53])/3 - 4*s[54] - 9*s[55] + 4*s[56] - (53*s[57])/3 + 8*s[58] - 
       (10*s[59])/3 + (181*s[60])/9 + (193*s[61])/162) + 
     B11[w, u, v]*HPL[{1}, 1 - u]*(s[22]/3 + (38*s[25])/27 - (38*s[26])/27 - 
       2*s[35] + 2*s[36] + (38*s[61])/27) + D15[w, u, v]*
      (-2*s[6] - 2*s[7] + s[9] + s[10] + 2*s[11] + s[12] + 2*s[13] + 
       2*s[14] + 2*s[16] + s[17] + (5*s[18])/3 - (5*s[19])/3 + (8*s[20])/3 + 
       (5*s[21])/3 - (2*s[22])/3 + s[24] + (41*s[25])/18 - (35*s[26])/18 + 
       s[38] + 2*s[46] + 2*s[56] - s[57] + 2*s[58] + (2*s[60])/3 + 
       (3*s[61])/2) + D22[u, v, w]*((-15*s[5])/11 - (23*s[6])/22 - 
       (368*s[7])/33 + (23*s[8])/66 + (61*s[9])/6 + (13*s[10])/3 + 
       (389*s[11])/44 + (195*s[12])/44 + (113*s[13])/66 + (62*s[14])/11 + 
       26*s[15] + (703*s[16])/33 + (3809*s[17])/132 + s[18]/18 + 
       (77*s[19])/18 + (5147*s[20])/198 + (689*s[21])/66 - (1031*s[22])/198 + 
       (181*s[23])/132 - (6301*s[24])/396 + (12341*s[25])/1188 - 
       (9839*s[26])/1188 - (24*s[43])/11 - (9*s[44])/22 - (30*s[45])/11 + 
       (126*s[46])/11 + (20*s[47])/33 + (20*s[48])/33 + (160*s[49])/33 - 
       (103*s[50])/11 + (12*s[51])/11 + (5*s[52])/66 + (398*s[53])/33 - 
       (10*s[54])/11 + (796*s[55])/11 + (78*s[56])/11 + (1835*s[57])/33 - 
       (377*s[58])/99 - (931*s[59])/99 - (10775*s[60])/99 + 
       (2015*s[61])/594) + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 1}, 1 - v]*
      ((-8*s[21])/3 - 136*s[23] + (128*s[24])/3 + (4*s[25])/3 + (4*s[26])/3 + 
       16*s[40] + 4*s[45] - 144*s[57] + 88*s[58] - 88*s[59] + 52*s[60] + 
       (16*s[61])/3) + HPL[{1}, 1 - u]^2*Nt[u, v, w]*
      ((-73*s[5])/33 - (667*s[6])/264 - (10075*s[7])/528 + (973*s[8])/1188 + 
       (440*s[9])/27 + (1565*s[10])/216 + (13693*s[11])/792 + 
       (21673*s[12])/1584 + (10283*s[13])/1584 + (14855*s[14])/1584 + 
       (5207*s[15])/144 + (28531*s[16])/792 + (15815*s[17])/396 + 
       (2267*s[18])/648 + (607*s[19])/162 + (159341*s[20])/3564 + 
       (264695*s[21])/14256 - (133183*s[22])/14256 - (11383*s[23])/1584 - 
       (317671*s[24])/14256 + (2502503*s[25])/128304 - 
       (1865321*s[26])/128304 - (5*s[39])/24 + (5*s[40])/24 - (23*s[41])/24 - 
       (5*s[42])/12 - (17*s[43])/264 - (53*s[44])/176 - (1223*s[45])/264 + 
       (211*s[46])/11 - (683*s[47])/1584 + (1363*s[48])/1584 + 
       (47*s[49])/1584 - (1103*s[50])/66 - (339*s[51])/176 - 
       (139*s[52])/1584 + (6097*s[53])/396 - (85*s[54])/22 + 
       (167635*s[55])/1584 + (12799*s[56])/528 + (4799*s[57])/88 + 
       (61813*s[58])/4752 - (91969*s[59])/4752 - (1606919*s[60])/9504 + 
       (31589*s[61])/2673) + D20[w, u, v]*((-5*s[5])/2 - (5*s[6])/2 - 
       (137*s[7])/6 + (7*s[8])/6 + (121*s[9])/6 + (47*s[10])/6 + 
       (43*s[11])/2 + (39*s[12])/2 + (29*s[13])/3 + 11*s[14] + 
       (113*s[15])/3 + (241*s[16])/6 + (121*s[17])/3 + (121*s[18])/18 + 
       (10*s[19])/9 + (485*s[20])/9 + (143*s[21])/6 - (104*s[22])/9 - 
       (119*s[23])/6 - (409*s[24])/18 + (2497*s[25])/108 - (1993*s[26])/108 + 
       (3*s[39])/2 - (3*s[40])/2 + (3*s[41])/2 - (5*s[42])/2 - (3*s[43])/2 + 
       (7*s[44])/4 - (7*s[45])/2 + 23*s[46] - (5*s[47])/12 + (13*s[48])/12 + 
       (71*s[49])/12 - 18*s[50] - (19*s[51])/12 - (13*s[52])/12 + 
       (46*s[53])/3 - 4*s[54] + (1183*s[55])/12 + (99*s[56])/4 + 
       (31*s[57])/3 + (1019*s[58])/36 - (1151*s[59])/36 - (12971*s[60])/72 + 
       (223*s[61])/18) + D20[u, v, w]*((-5*s[5])/2 - (5*s[6])/2 - 23*s[7] + 
       (19*s[8])/18 + (361*s[9])/18 + (143*s[10])/18 + (131*s[11])/6 + 
       (115*s[12])/6 + (28*s[13])/3 + (34*s[14])/3 + (233*s[15])/6 + 
       (124*s[16])/3 + (127*s[17])/3 + (359*s[18])/54 + (35*s[19])/27 + 
       (1465*s[20])/27 + (1313*s[21])/54 - (314*s[22])/27 - (65*s[23])/3 - 
       (614*s[24])/27 + (22567*s[25])/972 - (18175*s[26])/972 + (3*s[39])/2 - 
       (3*s[40])/2 + (3*s[41])/2 - (5*s[42])/2 - (3*s[43])/2 + (5*s[44])/4 - 
       (7*s[45])/2 + 23*s[46] - (7*s[47])/12 + (11*s[48])/12 + 
       (73*s[49])/12 - 18*s[50] - (17*s[51])/12 - (11*s[52])/12 + 
       (47*s[53])/3 - 4*s[54] + (399*s[55])/4 + (101*s[56])/4 + 11*s[57] + 
       (1013*s[58])/36 - (1169*s[59])/36 - (12985*s[60])/72 + 
       (2045*s[61])/162) + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u]*
      (-64*s[3] - 128*s[23] + (128*s[24])/3 + 16*s[40] - 128*s[57] + 
       (128*s[58])/3 - (128*s[59])/3 + (448*s[60])/3 + (128*s[61])/9) + 
     HPL[{1}, 1 - w]^2*M1[u, v, w]*((-19*s[4])/3 + (463*s[5])/264 - 
       (857*s[6])/176 - (5669*s[7])/176 + (26743*s[8])/4752 + 
       (10091*s[9])/432 + (83*s[10])/54 + (127135*s[11])/3168 + 
       (163025*s[12])/3168 + (6757*s[13])/198 - (17135*s[14])/792 + 
       (5111*s[15])/144 + (19037*s[16])/396 + (54991*s[17])/3168 + 
       (3553*s[18])/1296 + (9779*s[19])/1296 + (251767*s[20])/7128 + 
       (27593*s[21])/3564 - (234415*s[22])/14256 - (267887*s[23])/3168 - 
       (937031*s[24])/28512 + (16255123*s[25])/256608 - 
       (6351991*s[26])/256608 - (7*s[38])/6 + (63*s[39])/8 - (63*s[40])/8 + 
       (101*s[41])/12 - (145*s[42])/12 - (1127*s[43])/264 + 
       (2909*s[44])/528 - (289*s[45])/88 + (5839*s[46])/132 - 
       (6401*s[47])/1584 + (6337*s[48])/1584 + (32843*s[49])/1584 - 
       (681*s[50])/22 - (3097*s[51])/528 - (10927*s[52])/1584 + 
       (8401*s[53])/396 - (73*s[54])/11 + (65173*s[55])/528 + 
       (23501*s[56])/528 - (25117*s[57])/198 + (446123*s[58])/4752 - 
       (431873*s[59])/4752 - (2775041*s[60])/9504 + (98965*s[61])/4752) + 
     HPL[{1}, 1 - u]^3*Omega2[v, w, u]*((-128*s[5])/33 - (625*s[6])/132 - 
       (8761*s[7])/264 + (877*s[8])/594 + (1523*s[9])/54 + (1337*s[10])/108 + 
       (11923*s[11])/396 + (18949*s[12])/792 + (9239*s[13])/792 + 
       (13043*s[14])/792 + (4469*s[15])/72 + (6172*s[16])/99 + 
       (13655*s[17])/198 + (2003*s[18])/324 + (502*s[19])/81 + 
       (137063*s[20])/1782 + (226667*s[21])/7128 - (115591*s[22])/7128 - 
       (10141*s[23])/792 - (272053*s[24])/7128 + (2199479*s[25])/64152 - 
       (1614677*s[26])/64152 - (5*s[39])/12 + (5*s[40])/12 - (23*s[41])/12 - 
       (5*s[42])/6 + (19*s[43])/132 - (65*s[44])/88 - (1079*s[45])/132 + 
       (365*s[46])/11 - (875*s[47])/792 + (1171*s[48])/792 - 
       (961*s[49])/792 - (953*s[50])/33 - (1097*s[51])/264 - (31*s[52])/792 + 
       (2627*s[53])/99 - (254*s[54])/33 + (144763*s[55])/792 + 
       (3829*s[56])/88 + (37243*s[57])/396 + (6181*s[58])/264 - 
       (26363*s[59])/792 - (1381031*s[60])/4752 + (56174*s[61])/2673) + 
     F1[u, v, w]*Phi6[u, v, w]*((3*s[37])/2 + 3*s[38] - 7*s[39] + 4*s[40] - 
       s[41] + (79*s[42])/8 + 7*s[43] - (23*s[44])/8 - 7*s[45] + 
       (17*s[47])/6 - (2*s[48])/3 - (683*s[49])/24 - 6*s[50] + 
       (127*s[51])/24 + (91*s[52])/24 + (369*s[55])/8 + (761*s[56])/24 + 
       (1027*s[57])/72 + (1271*s[58])/108 - (317*s[59])/108 + 
       (3671*s[60])/144 + (21725*s[61])/972) + B10[u, v, w]*HPL[{1}, 1 - w]*
      (-4*s[4] - 2*s[5] - s[6] - (407*s[7])/6 + (14*s[8])/3 + (173*s[9])/3 + 
       (73*s[10])/3 + (149*s[11])/2 + 79*s[12] + (271*s[13])/6 - 
       (3*s[14])/2 + (601*s[15])/6 + (356*s[16])/3 + (587*s[17])/6 + 
       (47*s[18])/9 + (226*s[19])/9 + (1142*s[20])/9 + (235*s[21])/6 - 
       (637*s[22])/18 - (148*s[23])/3 - (812*s[24])/9 + (5287*s[25])/54 - 
       (2515*s[26])/54 - 4*s[38] + 10*s[39] - 10*s[40] + 8*s[41] - 12*s[42] - 
       10*s[43] + 9*s[44] - 10*s[45] + 76*s[46] - (5*s[47])/3 - 
       (11*s[48])/3 + (167*s[49])/3 - 70*s[50] - (25*s[51])/3 - 
       (13*s[52])/3 + (136*s[53])/3 + 20*s[54] + 277*s[55] + 37*s[56] + 
       (10*s[57])/3 + (809*s[58])/9 - (959*s[59])/9 - (12827*s[60])/18 + 
       (664*s[61])/27) + HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-2*s[1])/3 + (7*s[2])/6 - (17*s[4])/3 - (38*s[5])/33 - (74*s[6])/11 - 
       (1069*s[7])/22 + (2525*s[8])/297 + (1060*s[9])/27 + (173*s[10])/27 + 
       (5215*s[11])/99 + (12115*s[12])/198 + (7547*s[13])/198 - 
       (481*s[14])/198 + (983*s[15])/18 + (7564*s[16])/99 + (5173*s[17])/99 + 
       (920*s[18])/81 + (4*s[19])/81 + (74464*s[20])/891 + 
       (52865*s[21])/1782 - (44305*s[22])/1782 - (17227*s[23])/198 - 
       (74227*s[24])/1782 + (571870*s[25])/8019 - (298288*s[26])/8019 - 
       s[38]/3 + 7*s[39] - 7*s[40] + (19*s[41])/3 - (35*s[42])/3 - 
       (107*s[43])/33 + (103*s[44])/33 - (73*s[45])/11 + (1802*s[46])/33 - 
       (481*s[47])/99 + (971*s[48])/99 + (1036*s[49])/99 - (1270*s[50])/33 - 
       (227*s[51])/33 - (716*s[52])/99 + (3176*s[53])/99 - (436*s[54])/33 + 
       (6451*s[55])/33 + (2017*s[56])/33 - (8500*s[57])/99 + 
       (30139*s[58])/297 - (28837*s[59])/297 - (108275*s[60])/297 + 
       (52159*s[61])/1782) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v]*((59*s[5])/132 - (2287*s[6])/264 - 
       (877*s[7])/44 - (619*s[8])/2376 + (3709*s[9])/216 - (689*s[10])/108 + 
       (44747*s[11])/1584 + (88273*s[12])/1584 + (4379*s[13])/99 + 
       (8603*s[14])/396 - (481*s[15])/9 - (3683*s[16])/792 - 
       (94801*s[17])/1584 + (30689*s[18])/648 - (34823*s[19])/648 + 
       (126419*s[20])/3564 + (42140*s[21])/891 - (92849*s[22])/7128 - 
       (245173*s[23])/1584 + (810551*s[24])/14256 + (1568609*s[25])/128304 - 
       (4623893*s[26])/128304 + (8*s[37])/3 - 2*s[38] + (155*s[39])/12 - 
       (155*s[40])/12 + (53*s[41])/3 - (109*s[42])/6 - (493*s[43])/132 + 
       (141*s[44])/22 + (1295*s[45])/132 + (353*s[46])/22 - 
       (3155*s[47])/396 + (287*s[48])/198 - (311*s[49])/198 + 
       (617*s[50])/33 - (15*s[51])/44 - (7477*s[52])/396 - 
       (15479*s[53])/396 - (518*s[54])/11 - (81005*s[55])/396 + 
       (9415*s[56])/132 - (18236*s[57])/33 + (59827*s[58])/297 - 
       (127219*s[59])/1188 + (73190*s[60])/297 + (628105*s[61])/21384) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1}, 1 - u]*(-4*s[1] + 11*s[2] - 
       (76*s[4])/3 + (2063*s[5])/132 + (259*s[6])/88 - (4677*s[7])/88 + 
       (50579*s[8])/2376 + (6079*s[9])/216 - (545*s[10])/27 + 
       (141167*s[11])/1584 + (243493*s[12])/1584 + (38891*s[13])/396 - 
       (14719*s[14])/99 + (163*s[15])/72 + (19367*s[16])/396 - 
       (153889*s[17])/1584 + (2093*s[18])/648 + (10423*s[19])/648 - 
       (127177*s[20])/3564 - (172255*s[21])/3564 - (210449*s[22])/7128 - 
       (580351*s[23])/1584 - (415567*s[24])/14256 + (22700939*s[25])/128304 - 
       (4465751*s[26])/128304 - (17*s[38])/3 + (133*s[39])/4 - 
       (133*s[40])/4 + (104*s[41])/3 - (299*s[42])/6 - (1405*s[43])/132 + 
       (5101*s[44])/264 + (81*s[45])/44 + (6467*s[46])/66 - 
       (15097*s[47])/792 + (19685*s[48])/792 + (55939*s[49])/792 - 
       (720*s[50])/11 - (6229*s[51])/264 - (22475*s[52])/792 + 
       (2884*s[53])/99 + (70*s[54])/11 + (8323*s[55])/88 + 
       (15661*s[56])/264 - (143785*s[57])/198 + (773815*s[58])/2376 - 
       (685213*s[59])/2376 - (2266261*s[60])/4752 + (80057*s[61])/2376) + 
     HPL[{1}, 1 - u]^2*Ot[u, v, w]*((-2063*s[5])/264 - (3857*s[6])/528 - 
       (18037*s[7])/264 + (13771*s[8])/4752 + (25331*s[9])/432 + 
       (5933*s[10])/216 + (193981*s[11])/3168 + (146039*s[12])/3168 + 
       (1982*s[13])/99 + (25249*s[14])/792 + (2491*s[15])/18 + 
       (210251*s[16])/1584 + (480457*s[17])/3168 + (12127*s[18])/1296 + 
       (23471*s[19])/1296 + (1168261*s[20])/7128 + (60278*s[21])/891 - 
       (477007*s[22])/14256 - (71267*s[23])/3168 - (2474639*s[24])/28512 + 
       (17703535*s[25])/256608 - (13449883*s[26])/256608 - (4*s[37])/3 - 
       (23*s[39])/24 + (23*s[40])/24 - (10*s[41])/3 - (5*s[42])/12 - 
       (839*s[43])/264 - (2*s[44])/11 - (4379*s[45])/264 + (3051*s[46])/44 + 
       (833*s[47])/792 + (365*s[48])/198 + (2491*s[49])/198 - 
       (4055*s[50])/66 - (653*s[51])/264 + (1915*s[52])/792 + 
       (47303*s[53])/792 - (13*s[54])/11 + (319007*s[55])/792 + 
       (19103*s[56])/264 + (7627*s[57])/33 + (35965*s[58])/1188 - 
       (168899*s[59])/2376 - (1555343*s[60])/2376 + (1551119*s[61])/42768) + 
     HPL[{1}, 1 - w]^3*Omega2[w, u, v]*(-12*s[4] + (30*s[5])/11 - 
       (73*s[6])/44 - (4193*s[7])/66 + (5785*s[8])/396 + (1727*s[9])/36 + 
       (25*s[10])/9 + (4993*s[11])/66 + (26843*s[12])/264 + 
       (15629*s[13])/264 - (11831*s[14])/264 + (251*s[15])/4 + 
       (8061*s[16])/88 + (950*s[17])/33 + (1423*s[18])/108 + 
       (605*s[19])/108 + (48307*s[20])/594 + (42913*s[21])/2376 - 
       (79415*s[22])/2376 - (4233*s[23])/22 - (59005*s[24])/1188 + 
       (1249277*s[25])/10692 - (121049*s[26])/2673 - 2*s[38] + (63*s[39])/4 - 
       (63*s[40])/4 + (61*s[41])/4 - (49*s[42])/2 - (237*s[43])/44 + 
       (86*s[44])/11 - (299*s[45])/44 + (881*s[46])/11 - (359*s[47])/33 + 
       (2447*s[48])/132 + (663*s[49])/22 - (3901*s[50])/66 - 
       (1729*s[51])/132 - (619*s[52])/44 + (1839*s[53])/44 - (149*s[54])/33 + 
       (30583*s[55])/132 + (713*s[56])/11 - (34645*s[57])/132 + 
       (72041*s[58])/396 - (68111*s[59])/396 - (398863*s[60])/792 + 
       (130601*s[61])/3564) + HPL[{1}, 1 - u]^4*HPL[{0, 0, 1}, 1 - v]*
      ((-5*s[3])/3 - (15071*s[5])/1584 - (20521*s[6])/6336 - 
       (346609*s[7])/3168 + (356363*s[8])/57024 + (493915*s[9])/5184 + 
       (15635*s[10])/324 + (3893819*s[11])/38016 + (3273997*s[12])/38016 + 
       (388661*s[13])/9504 + (186469*s[14])/4752 + (179585*s[15])/864 + 
       (3994231*s[16])/19008 + (8603987*s[17])/38016 + (176315*s[18])/15552 + 
       (574165*s[19])/15552 + (22014731*s[20])/85536 + 
       (4256143*s[21])/42768 - (9481583*s[22])/171072 - 
       (972865*s[23])/38016 - (48659509*s[24])/342144 + 
       (364804331*s[25])/3079296 - (242309183*s[26])/3079296 - 
       (25*s[37])/18 - (25*s[38])/12 + (421*s[39])/144 - (421*s[40])/144 - 
       (829*s[41])/288 - (1097*s[42])/288 - (18233*s[43])/1584 + 
       (14975*s[44])/2112 - (36071*s[45])/1584 + (9723*s[46])/88 + 
       (90011*s[47])/19008 - (181909*s[48])/19008 + (1072957*s[49])/19008 - 
       (20401*s[50])/198 - (505*s[51])/6336 + (168715*s[52])/19008 + 
       (871333*s[53])/9504 + (944*s[54])/33 + (11331431*s[55])/19008 + 
       (537131*s[56])/6336 + (27781*s[57])/88 + (3205793*s[58])/57024 - 
       (7272635*s[59])/57024 - (128476261*s[60])/114048 + 
       (23321587*s[61])/513216) + B9[u, v, w]*HPL[{1}, 1 - w]*
      ((3*s[3])/2 - (33*s[4])/4 - (9*s[5])/2 - (43*s[6])/4 - (2875*s[7])/24 + 
       (311*s[8])/36 + (899*s[9])/9 + (298*s[10])/9 + (3203*s[11])/24 + 
       (440*s[12])/3 + (2185*s[13])/24 + (155*s[14])/24 + (3943*s[15])/24 + 
       (2447*s[16])/12 + (1247*s[17])/8 + (349*s[18])/27 + (3233*s[19])/108 + 
       (25015*s[20])/108 + (16817*s[21])/216 - (13633*s[22])/216 - 
       (1279*s[23])/12 - (15743*s[24])/108 + (172615*s[25])/972 - 
       (88681*s[26])/972 + 2*s[36] - 6*s[38] + (39*s[39])/2 - (43*s[40])/2 + 
       (33*s[41])/2 - (53*s[42])/2 - (43*s[43])/2 + (77*s[44])/4 - 15*s[45] + 
       (275*s[46])/2 - (31*s[47])/12 - (61*s[48])/12 + (1141*s[49])/12 - 
       108*s[50] - (185*s[51])/12 - (167*s[52])/12 + (449*s[53])/6 + 
       13*s[54] + (1843*s[55])/4 + (1087*s[56])/12 - (607*s[57])/9 + 
       (19685*s[58])/108 - (23663*s[59])/108 - (85927*s[60])/72 + 
       (44381*s[61])/972) + HPL[{1}, 1 - w]^2*M1[v, w, u]*
      ((-32*s[4])/3 - (97*s[5])/264 - (1769*s[6])/176 - (14473*s[7])/176 + 
       (59591*s[8])/4752 + (27811*s[9])/432 + (347*s[10])/27 + 
       (290471*s[11])/3168 + (335785*s[12])/3168 + (6493*s[13])/99 - 
       (15295*s[14])/792 + (15811*s[15])/144 + (13264*s[16])/99 + 
       (283991*s[17])/3168 + (14921*s[18])/1296 + (18259*s[19])/1296 + 
       (937715*s[20])/7128 + (152635*s[21])/3564 - (595319*s[22])/14256 - 
       (491455*s[23])/3168 - (2429287*s[24])/28512 + 
       (33556643*s[25])/256608 - (16030151*s[26])/256608 - s[37]/2 - 
       (4*s[38])/3 + (103*s[39])/8 - (103*s[40])/8 + (157*s[41])/12 - 
       (245*s[42])/12 - (2023*s[43])/264 + (4201*s[44])/528 - 
       (985*s[45])/88 + (13163*s[46])/132 - (11053*s[47])/1584 + 
       (16205*s[48])/1584 + (56215*s[49])/1584 - (1637*s[50])/22 - 
       (1775*s[51])/176 - (18059*s[52])/1584 + (22907*s[53])/396 - 
       (157*s[54])/11 + (62475*s[55])/176 + (53569*s[56])/528 - 
       (26243*s[57])/198 + (817039*s[58])/4752 - (845365*s[59])/4752 - 
       (6817117*s[60])/9504 + (77875*s[61])/1584) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((-52*s[4])/3 - (817*s[5])/132 + (899*s[6])/88 - (33679*s[7])/264 + 
       (42707*s[8])/2376 + (23743*s[9])/216 + (487*s[10])/27 + 
       (173039*s[11])/1584 + (186853*s[12])/1584 + (9611*s[13])/396 - 
       (3547*s[14])/99 + (13411*s[15])/72 + (66695*s[16])/396 + 
       (201503*s[17])/1584 + (37421*s[18])/648 - (5321*s[19])/648 + 
       (841415*s[20])/3564 + (253025*s[21])/3564 - (437873*s[22])/7128 - 
       (528703*s[23])/1584 - (796687*s[24])/14256 + (19497419*s[25])/128304 - 
       (9465047*s[26])/128304 - 4*s[36] + (7*s[38])/3 + (69*s[39])/4 - 
       (69*s[40])/4 + (80*s[41])/3 - (203*s[42])/6 + (323*s[43])/132 - 
       (1907*s[44])/264 - (1355*s[45])/44 + (9059*s[46])/66 - 
       (22201*s[47])/792 + (56933*s[48])/792 - (19901*s[49])/792 - 
       (1224*s[50])/11 - (7253*s[51])/264 - (22571*s[52])/792 + 
       (9844*s[53])/99 - (618*s[54])/11 + (49667*s[55])/88 + 
       (36637*s[56])/264 - (25309*s[57])/198 + (488071*s[58])/2376 - 
       (470893*s[59])/2376 - (3306277*s[60])/4752 + (565363*s[61])/7128) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 1}, 1 - v]*(-4*s[3] - (489*s[5])/22 - 
       (365*s[6])/22 - (33733*s[7])/132 + (2855*s[8])/198 + (4087*s[9])/18 + 
       (1799*s[10])/18 + (32507*s[11])/132 + (29209*s[12])/132 + 
       (7673*s[13])/66 + (6805*s[14])/66 + (5227*s[15])/12 + 
       (61735*s[16])/132 + (20935*s[17])/44 + (2513*s[18])/54 + 
       (1442*s[19])/27 + (176525*s[20])/297 + (146239*s[21])/594 - 
       (77873*s[22])/594 - (7651*s[23])/66 - (87634*s[24])/297 + 
       (739421*s[25])/2673 - (526301*s[26])/2673 + (5*s[37])/3 - 5*s[38] + 
       (35*s[39])/2 - (35*s[40])/2 + 8*s[41] - (49*s[42])/2 - 
       (312*s[43])/11 + (189*s[44])/11 - (945*s[45])/22 + (2837*s[46])/11 + 
       (128*s[47])/33 - (635*s[48])/66 + (4159*s[49])/33 - (4845*s[50])/22 - 
       (395*s[51])/66 + (131*s[52])/66 + (12361*s[53])/66 + (233*s[54])/11 + 
       (39635*s[55])/33 + (4877*s[56])/22 + (23983*s[57])/66 + 
       (8039*s[58])/33 - (3898*s[59])/11 - (941791*s[60])/396 + 
       (133009*s[61])/1188) + HPL[{1}, 1 - u]^4*HPL[{0, 1, 1}, 1 - v]*
      ((-5*s[3])/3 - (40259*s[5])/1584 - (184321*s[6])/6336 - 
       (88533*s[7])/352 + (731075*s[8])/57024 + (1177747*s[9])/5184 + 
       (26963*s[10])/324 + (9348707*s[11])/38016 + (8735605*s[12])/38016 + 
       (1162625*s[13])/9504 + (572311*s[14])/4752 + (337829*s[15])/864 + 
       (8401999*s[16])/19008 + (16243451*s[17])/38016 + 
       (1158563*s[18])/15552 + (135661*s[19])/15552 + 
       (50529059*s[20])/85536 + (11543311*s[21])/42768 - 
       (22299551*s[22])/171072 - (8230681*s[23])/38016 - 
       (85365085*s[24])/342144 + (811248635*s[25])/3079296 - 
       (658670303*s[26])/3079296 + (85*s[37])/36 - (25*s[38])/12 + 
       (3565*s[39])/144 - (3565*s[40])/144 + (7259*s[41])/288 - 
       (10841*s[42])/288 - (41585*s[43])/1584 + (44447*s[44])/2112 - 
       (51863*s[45])/1584 + (22287*s[46])/88 - (150973*s[47])/19008 + 
       (172691*s[48])/19008 + (1957477*s[49])/19008 - (37921*s[50])/198 - 
       (79201*s[51])/6336 - (315917*s[52])/19008 + (1511773*s[53])/9504 - 
       (322*s[54])/11 + (19139999*s[55])/19008 + (1601027*s[56])/6336 - 
       (6025*s[57])/198 + (19748633*s[58])/57024 - (22407587*s[59])/57024 - 
       (230738221*s[60])/114048 + (61869607*s[61])/513216) + 
     HPL[{1}, 1 - u]^3*Omega2[u, v, w]*(-4*s[3] - (1643*s[5])/66 - 
       (2069*s[6])/132 - (75001*s[7])/264 + (4816*s[8])/297 + 
       (6827*s[9])/27 + (12049*s[10])/108 + (53815*s[11])/198 + 
       (192161*s[12])/792 + (98533*s[13])/792 + (91945*s[14])/792 + 
       (35389*s[15])/72 + (206039*s[16])/396 + (211559*s[17])/396 + 
       (15937*s[18])/324 + (10105*s[19])/162 + (1186255*s[20])/1782 + 
       (1938205*s[21])/7128 - (1037909*s[22])/7128 - (96179*s[23])/792 - 
       (2378579*s[24])/7128 + (19545649*s[25])/64152 - 
       (13841719*s[26])/64152 - s[37]/3 - 5*s[38] + (215*s[39])/12 - 
       (215*s[40])/12 + (119*s[41])/12 - (71*s[42])/3 - (4261*s[43])/132 + 
       (1721*s[44])/88 - (6319*s[45])/132 + (3156*s[46])/11 + 
       (4667*s[47])/792 - (8071*s[48])/792 + (111685*s[49])/792 - 
       (16229*s[50])/66 + (27*s[51])/88 + (3475*s[52])/792 + 
       (41945*s[53])/198 + (842*s[54])/33 + (1074605*s[55])/792 + 
       (21059*s[56])/88 + (175523*s[57])/396 + (201461*s[58])/792 - 
       (100867*s[59])/264 - (12633361*s[60])/4752 + (1317949*s[61])/10692) + 
     HPL[{1}, 1 - w]^2*Qep[v, w, u]*(-96*s[4] - (2584*s[5])/33 - 
       (1336*s[6])/11 - (46360*s[7])/33 + (49688*s[8])/297 + 
       (32296*s[9])/27 + (7592*s[10])/27 + (147688*s[11])/99 + 
       (164696*s[12])/99 + (87088*s[13])/99 + (5536*s[14])/99 + 
       (5456*s[15])/3 + (224920*s[16])/99 + (162256*s[17])/99 + 
       (39272*s[18])/81 - (5264*s[19])/81 + (2469136*s[20])/891 + 
       (1054360*s[21])/891 - (659216*s[22])/891 - (285704*s[23])/99 - 
       (971816*s[24])/891 + (14843932*s[25])/8019 - (9388348*s[26])/8019 - 
       16*s[38] + (712*s[39])/3 - (712*s[40])/3 + 248*s[41] - 
       (1144*s[42])/3 - (3448*s[43])/33 + (3836*s[44])/33 - (5080*s[45])/33 + 
       (50288*s[46])/33 - (18100*s[47])/99 + (27044*s[48])/99 + 
       (47260*s[49])/99 - (36464*s[50])/33 - (20876*s[51])/99 - 
       (22244*s[52])/99 + (83264*s[53])/99 - (2784*s[54])/11 + 
       (492236*s[55])/99 + (48892*s[56])/33 - (37392*s[57])/11 + 
       (898940*s[58])/297 - (865580*s[59])/297 - (2991278*s[60])/297 + 
       (2046112*s[61])/2673) + HPL[{1}, 1 - w]^2*Qep[v, u, w]*
      ((-608*s[4])/3 + (752*s[5])/33 - (1494*s[6])/11 - (14594*s[7])/11 + 
       (2390*s[8])/11 + 1038*s[9] + (364*s[10])/3 + (52117*s[11])/33 + 
       (65239*s[12])/33 + (39308*s[13])/33 - (22040*s[14])/33 + 
       (13498*s[15])/9 + (66004*s[16])/33 + (9547*s[17])/11 + 
       (2654*s[18])/9 + (1150*s[19])/9 + (182932*s[20])/99 + 
       (60920*s[21])/99 - (23014*s[22])/33 - (119993*s[23])/33 - 
       (37001*s[24])/33 + (2071985*s[25])/891 - (948317*s[26])/891 - 
       (112*s[38])/3 + (968*s[39])/3 - (968*s[40])/3 + (1036*s[41])/3 - 
       (1516*s[42])/3 - (4552*s[43])/33 + (6104*s[44])/33 - (4040*s[45])/33 + 
       (18592*s[46])/11 - (2300*s[47])/11 + (9380*s[48])/33 + 
       (7868*s[49])/11 - (39904*s[50])/33 - (24676*s[51])/99 - 
       (3208*s[52])/11 + (27448*s[53])/33 - (2336*s[54])/11 + 
       (462868*s[55])/99 + (17464*s[56])/11 - (545488*s[57])/99 + 
       (1124588*s[58])/297 - (1072064*s[59])/297 - (350672*s[60])/33 + 
       (2120918*s[61])/2673) + HPL[{1}, 1 - u]^2*Qep[w, u, v]*
      ((-128*s[3])/3 - (15656*s[5])/99 - (2056*s[6])/99 - (68920*s[7])/33 + 
       (116696*s[8])/891 + (149320*s[9])/81 + (73304*s[10])/81 + 
       (587416*s[11])/297 + (514040*s[12])/297 + (259168*s[13])/297 + 
       (222928*s[14])/297 + (102928*s[15])/27 + (1159864*s[16])/297 + 
       (1224304*s[17])/297 + (45512*s[18])/243 + (174400*s[19])/243 + 
       (13038688*s[20])/2673 + (4863400*s[21])/2673 - (2846336*s[22])/2673 - 
       (70760*s[23])/297 - (7223912*s[24])/2673 + (54978340*s[25])/24057 - 
       (34838644*s[26])/24057 - (128*s[37])/9 - (160*s[38])/3 + 
       (808*s[39])/9 - (808*s[40])/9 - (104*s[41])/9 - (760*s[42])/9 - 
       (25208*s[43])/99 + (4172*s[44])/33 - (39320*s[45])/99 + 
       (23248*s[46])/11 + (36260*s[47])/297 - (54292*s[48])/297 + 
       (350404*s[49])/297 - (193328*s[50])/99 + (8468*s[51])/99 + 
       (43060*s[52])/297 + (503840*s[53])/297 + (15392*s[54])/33 + 
       (3244052*s[55])/297 + (150500*s[56])/99 + (179584*s[57])/33 + 
       (1118420*s[58])/891 - (2249156*s[59])/891 - (19044002*s[60])/891 + 
       (6749440*s[61])/8019) + HPL[{1}, 1 - w]^2*Qep[w, v, u]*
      ((-2080*s[4])/9 + (2072*s[5])/99 - (4486*s[6])/33 - (17126*s[7])/11 + 
       (224866*s[8])/891 + (97178*s[9])/81 + (13396*s[10])/81 + 
       (540647*s[11])/297 + (675361*s[12])/297 + (401504*s[13])/297 - 
       (201244*s[14])/297 + (48746*s[15])/27 + (707312*s[16])/297 + 
       (340595*s[17])/297 + (77278*s[18])/243 + (42614*s[19])/243 + 
       (6075428*s[20])/2673 + (1925612*s[21])/2673 - (2159926*s[22])/2673 - 
       (1177675*s[23])/297 - (3709867*s[24])/2673 + (63987005*s[25])/24057 - 
       (29058257*s[26])/24057 - (416*s[38])/9 + 344*s[39] - 344*s[40] + 
       (3212*s[41])/9 - (4756*s[42])/9 - (16696*s[43])/99 + 
       (21284*s[44])/99 - (5336*s[45])/33 + (191824*s[46])/99 - 
       (61664*s[47])/297 + (74824*s[48])/297 + (250376*s[49])/297 - 
       (15248*s[50])/11 - (9112*s[51])/33 - (88756*s[52])/297 + 
       (290992*s[53])/297 - (7616*s[54])/33 + (560776*s[55])/99 + 
       (182324*s[56])/99 - (1585736*s[57])/297 + (3625328*s[58])/891 - 
       (3500468*s[59])/891 - (11462698*s[60])/891 + (2428634*s[61])/2673) + 
     HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*((-2131*s[5])/11 - 
       (2630*s[6])/11 - (130469*s[7])/66 + (8957*s[8])/99 + (15607*s[9])/9 + 
       (5966*s[10])/9 + (122123*s[11])/66 + (109375*s[12])/66 + 
       (9373*s[13])/11 + (33097*s[14])/33 + (6477*s[15])/2 + 
       (76027*s[16])/22 + (233137*s[17])/66 + (13838*s[18])/27 + 
       (4060*s[19])/27 + (1370344*s[20])/297 + (589432*s[21])/297 - 
       (294890*s[22])/297 - (13553*s[23])/11 - (594206*s[24])/297 + 
       (10921385*s[25])/5346 - (8482871*s[26])/5346 + 16*s[37] + 22*s[38] + 
       99*s[39] - 97*s[40] + 127*s[41] - 189*s[42] - (851*s[43])/11 + 
       (387*s[44])/11 - (4053*s[45])/11 + (21834*s[46])/11 - (566*s[47])/11 + 
       (2305*s[48])/11 + (2853*s[49])/11 - (17476*s[50])/11 - 
       (3734*s[51])/33 - (1311*s[52])/11 + (14899*s[53])/11 - 
       (5344*s[54])/11 + (295880*s[55])/33 + (25467*s[56])/11 + 
       (53654*s[57])/33 + (228629*s[58])/99 - (257447*s[59])/99 - 
       (507797*s[60])/33 + (1045061*s[61])/891) + 
     D25[u, v, w]*(s[36] + (9*s[39])/4 - (13*s[40])/4 + (9*s[41])/4 - 
       (17*s[42])/4 - (13*s[43])/4 + (23*s[44])/8 - 8*s[45] + (175*s[46])/4 - 
       s[47]/24 + (5*s[48])/24 + (307*s[49])/24 - (65*s[50])/2 - 
       (35*s[51])/24 - (53*s[52])/24 + (317*s[53])/12 + s[54] + 
       (4055*s[55])/24 + (1225*s[56])/24 - (251*s[57])/9 + 
       (14939*s[58])/216 - (16217*s[59])/216 - (49501*s[60])/144 + 
       (49553*s[61])/1944 + s[65]) + B6[v, u, w]*HPL[{1}, 1 - u]*
      (4*s[3] + 13*s[4] + (283*s[5])/44 + (859*s[6])/44 + (21361*s[7])/132 - 
       (5921*s[8])/396 - (4747*s[9])/36 - (1337*s[10])/36 - 
       (24217*s[11])/132 - (27479*s[12])/132 - (2833*s[13])/22 - 
       (148*s[14])/33 - (616*s[15])/3 - (11861*s[16])/44 - (6335*s[17])/33 - 
       (3305*s[18])/108 - (1379*s[19])/54 - (181097*s[20])/594 - 
       (130237*s[21])/1188 + (98111*s[22])/1188 + (9967*s[23])/44 + 
       (204971*s[24])/1188 - (5165459*s[25])/21384 + (2747735*s[26])/21384 - 
       s[36] + s[37] + 8*s[38] - (53*s[39])/2 + (57*s[40])/2 - (41*s[41])/2 + 
       36*s[42] + (497*s[43])/22 - (248*s[44])/11 + (235*s[45])/11 - 
       (3745*s[46])/22 + (114*s[47])/11 + (15*s[48])/11 - (1112*s[49])/11 + 
       (1366*s[50])/11 + (1559*s[51])/66 + (485*s[52])/22 - (2729*s[53])/33 + 
       (71*s[54])/11 - (5799*s[55])/11 - (4726*s[56])/33 + 
       (91675*s[57])/396 - (86648*s[58])/297 + (172567*s[59])/594 + 
       (60747*s[60])/44 - (761009*s[61])/10692 + s[67] + s[69]) + 
     D30[v, w, u]*s[72] + D29[u, v, w]*((3*s[3])/2 - (93*s[4])/4 - 
       (525*s[5])/22 - (1993*s[6])/44 - (117949*s[7])/264 + (1361*s[8])/44 + 
       381*s[9] + 114*s[10] + (43975*s[11])/88 + (6096*s[12])/11 + 
       (88991*s[13])/264 + (4423*s[14])/88 + (13979*s[15])/24 + 
       (98281*s[16])/132 + (146779*s[17])/264 + (1391*s[18])/18 + 
       (2735*s[19])/36 + (352295*s[20])/396 + (258485*s[21])/792 - 
       (62399*s[22])/264 - (63047*s[23])/132 - (66905*s[24])/132 + 
       (2273983*s[25])/3564 - (1256281*s[26])/3564 + s[32] + 2*s[36] - 
       2*s[37] - 22*s[38] + (143*s[39])/2 - (155*s[40])/2 + (113*s[41])/2 - 
       (193*s[42])/2 - (1489*s[43])/22 + (2831*s[44])/44 - (701*s[45])/11 + 
       (11109*s[46])/22 - (2813*s[47])/132 - (1559*s[48])/132 + 
       (39239*s[49])/132 - (4096*s[50])/11 - (8227*s[51])/132 - 
       (7525*s[52])/132 + (16867*s[53])/66 + s[54]/11 + (213811*s[55])/132 + 
       (53021*s[56])/132 - (49418*s[57])/99 + (936031*s[58])/1188 - 
       (978061*s[59])/1188 - (3299597*s[60])/792 + (2125687*s[61])/10692 + 
       2*s[68] - 4*s[73]) + D28[v, w, u]*s[74] + B9[w, u, v]*HPL[{1}, 1 - u]*
      (8*s[3] + 25*s[4] + (147*s[5])/11 + (446*s[6])/11 + (21163*s[7])/66 - 
       (2581*s[8])/99 - (2357*s[9])/9 - (667*s[10])/9 - (24019*s[11])/66 - 
       (13558*s[12])/33 - (5611*s[13])/22 - (791*s[14])/33 - (2447*s[15])/6 - 
       (5859*s[16])/11 - (25307*s[17])/66 - (1624*s[18])/27 - 
       (1376*s[19])/27 - (365923*s[20])/594 - (129511*s[21])/594 + 
       (48775*s[22])/297 + (9021*s[23])/22 + (103195*s[24])/297 - 
       (1274444*s[25])/2673 + (677438*s[26])/2673 + 2*s[37] + 16*s[38] - 
       52*s[39] + 56*s[40] - 40*s[41] + 70*s[42] + (508*s[43])/11 - 
       (496*s[44])/11 + (536*s[45])/11 - (4042*s[46])/11 + (206*s[47])/11 + 
       (74*s[48])/11 - (2224*s[49])/11 + (2908*s[50])/11 + (516*s[51])/11 + 
       (474*s[52])/11 - (1988*s[53])/11 + (142*s[54])/11 - (76925*s[55])/66 - 
       (3510*s[56])/11 + (9223*s[57])/22 - (39653*s[58])/66 + 
       (39425*s[59])/66 + (65235*s[60])/22 - (31435*s[61])/198 + s[75]) + 
     B5[u, w, v]*HPL[{1}, 1 - w]*((9*s[4])/2 + (11*s[5])/2 + 6*s[6] + 
       (371*s[7])/4 - (58*s[8])/9 - (1439*s[9])/18 - (541*s[10])/18 - 
       (1199*s[11])/12 - (623*s[12])/6 - (737*s[13])/12 - (101*s[14])/12 - 
       (1639*s[15])/12 - (479*s[16])/3 - (1637*s[17])/12 - (541*s[18])/54 - 
       (1433*s[19])/54 - (4979*s[20])/27 - (6959*s[21])/108 + 
       (5323*s[22])/108 + (223*s[23])/3 + (3094*s[24])/27 - 
       (123287*s[25])/972 + (64985*s[26])/972 - s[36] + s[37] + 4*s[38] - 
       12*s[39] + 12*s[40] - 10*s[41] + 15*s[42] + 14*s[43] - 12*s[44] + 
       14*s[45] - 102*s[46] + (13*s[47])/6 + (13*s[48])/6 - (367*s[49])/6 + 
       86*s[50] + (21*s[51])/2 + (22*s[52])/3 - (181*s[53])/3 - 16*s[54] - 
       (2297*s[55])/6 - (139*s[56])/2 + 4*s[57] - (2357*s[58])/18 + 
       (2747*s[59])/18 + (32755*s[60])/36 - (3128*s[61])/81 + s[76]) + 
     B5[u, v, w]*HPL[{1}, 1 - w]*((11*s[4])/2 + (9*s[5])/2 + 6*s[6] + 
       (1097*s[7])/12 - (65*s[8])/9 - (1399*s[9])/18 - (509*s[10])/18 - 
       (1189*s[11])/12 - (314*s[12])/3 - (737*s[13])/12 - (73*s[14])/12 - 
       (1631*s[15])/12 - (479*s[16])/3 - (529*s[17])/4 - (575*s[18])/54 - 
       (1357*s[19])/54 - (4948*s[20])/27 - (7159*s[21])/108 + 
       (5159*s[22])/108 + (491*s[23])/6 + (6181*s[24])/54 - 
       (123355*s[25])/972 + (68149*s[26])/972 - 2*s[33] - s[36] + s[37] + 
       4*s[38] - 12*s[39] + 12*s[40] - 10*s[41] + 15*s[42] + 14*s[43] - 
       12*s[44] + 14*s[45] - 102*s[46] + (13*s[47])/6 + (13*s[48])/6 - 
       (367*s[49])/6 + 86*s[50] + (21*s[51])/2 + (22*s[52])/3 - 
       (181*s[53])/3 - 16*s[54] - (2297*s[55])/6 - (139*s[56])/2 + 4*s[57] - 
       (2357*s[58])/18 + (2747*s[59])/18 + (32755*s[60])/36 - 
       (3128*s[61])/81 + s[76]) + B10[u, v, w]*HPL[{1}, 1 - u]*
      (-8*s[3] - (33*s[4])/2 - (107*s[5])/22 - (325*s[6])/11 - 
       (7043*s[7])/44 + (1580*s[8])/99 + (2237*s[9])/18 + (427*s[10])/18 + 
       (24883*s[11])/132 + (14851*s[12])/66 + (19069*s[13])/132 - 
       (191*s[14])/132 + (2077*s[15])/12 + (8458*s[16])/33 + 
       (20617*s[17])/132 + (2227*s[18])/54 + (377*s[19])/54 + 
       (83329*s[20])/297 + (122083*s[21])/1188 - (93911*s[22])/1188 - 
       (10094*s[23])/33 - (44741*s[24])/297 + (2722315*s[25])/10692 - 
       (1442497*s[26])/10692 - s[37] - 8*s[38] + 30*s[39] - 34*s[40] + 
       22*s[41] - 43*s[42] - (244*s[43])/11 + (265*s[44])/11 - 
       (272*s[45])/11 + (2062*s[46])/11 - (983*s[47])/66 - (59*s[48])/66 + 
       (6095*s[49])/66 - (1269*s[50])/11 - (1853*s[51])/66 - (971*s[52])/33 + 
       (2609*s[53])/33 - (472*s[54])/11 + (33475*s[55])/66 + 
       (4325*s[56])/22 - (13829*s[57])/33 + (8209*s[58])/22 - 
       (22661*s[59])/66 - (538661*s[60])/396 + (80567*s[61])/891 + 2*s[76]) + 
     D31[u, v, w]*(-4*s[3] - (19*s[4])/2 - (213*s[5])/22 - (223*s[6])/11 - 
       (7377*s[7])/44 + (2185*s[8])/198 + (1264*s[9])/9 + (775*s[10])/18 + 
       (6178*s[11])/33 + (6779*s[12])/33 + (4090*s[13])/33 + 
       (1649*s[14])/66 + (2629*s[15])/12 + (36991*s[16])/132 + 
       (14111*s[17])/66 + (1004*s[18])/27 + (1181*s[19])/54 + 
       (200303*s[20])/594 + (38656*s[21])/297 - (51349*s[22])/594 - 
       (28361*s[23])/132 - (213023*s[24])/1188 + (1255469*s[25])/5346 - 
       (362347*s[26])/2673 + s[36] - s[37] - (17*s[38])/2 + (95*s[39])/4 - 
       (103*s[40])/4 + (71*s[41])/4 - (123*s[42])/4 - (917*s[43])/44 + 
       (1819*s[44])/88 - (1215*s[45])/44 + (2043*s[46])/11 - (747*s[47])/88 - 
       (505*s[48])/88 + (8093*s[49])/88 - (1476*s[50])/11 - 
       (5675*s[51])/264 - (1775*s[52])/88 + (6019*s[53])/66 - 
       (115*s[54])/11 + (53113*s[55])/88 + (45629*s[56])/264 - 
       (41201*s[57])/198 + (737173*s[58])/2376 - (725941*s[59])/2376 - 
       (265791*s[60])/176 + (924821*s[61])/10692 - s[70] + s[77] + 4*s[78]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 1}, 1 - v]*(-9*s[2] + 36*s[3] + 
       (1127*s[4])/2 + (299*s[5])/11 + (11699*s[6])/22 + (170981*s[7])/33 - 
       (400157*s[8])/594 - (223681*s[9])/54 - (27466*s[10])/27 - 
       (2345075*s[11])/396 - (696463*s[12])/99 - (1717373*s[13])/396 + 
       (288679*s[14])/396 - (56695*s[15])/9 - (3366995*s[16])/396 - 
       (2168561*s[17])/396 - (66814*s[18])/81 - (130879*s[19])/162 - 
       (15949759*s[20])/1782 - (10000883*s[21])/3564 + (9601411*s[22])/3564 + 
       (3718669*s[23])/396 + (18279505*s[24])/3564 - (65642102*s[25])/8019 + 
       (62287927*s[26])/16038 + 6*s[30] - (21*s[33])/2 - 6*s[35] - 72*s[36] + 
       (149*s[37])/3 + 241*s[38] - 1063*s[39] + 1195*s[40] - (1855*s[41])/2 + 
       (3187*s[42])/2 + (8853*s[43])/11 - (43325*s[44])/44 + 
       (23153*s[45])/33 - (226475*s[46])/33 + (58325*s[47])/132 - 
       (12691*s[48])/132 - (497627*s[49])/132 + (116537*s[50])/22 + 
       (138887*s[51])/132 + (114157*s[52])/132 - (698609*s[53])/198 + 
       (6947*s[54])/66 - (2884889*s[55])/132 - (2361191*s[56])/396 + 
       (6085945*s[57])/594 - (42547063*s[58])/3564 + (42679957*s[59])/3564 + 
       (4802789*s[60])/88 - (44876327*s[61])/16038 - 4*s[64] - 3*s[65] - 
       4*s[66] + 12*s[67] + 4*s[69] + 3*s[71] + 12*s[72] - 12*s[73] - 
       9*s[74] + 9*s[75] - 6*s[77] - 20*s[78] + 152*s[79] - (170*s[80])/3) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1}, 1 - w]*
      ((21*s[3])/2 - (261*s[4])/4 + (1689*s[5])/22 + (3087*s[6])/44 + 
       (7105*s[7])/88 + (1237*s[8])/44 - 150*s[9] - 38*s[10] + 
       (3547*s[11])/88 + (3957*s[12])/22 + (23053*s[13])/88 - 
       (44405*s[14])/88 - (6845*s[15])/24 - (11021*s[16])/44 - 
       (47395*s[17])/88 - (872*s[18])/3 + (3977*s[19])/12 - 
       (88225*s[20])/132 - (146057*s[21])/264 + (10865*s[22])/264 + 
       (27485*s[23])/44 - (39221*s[24])/132 + (141529*s[25])/396 + 
       (74573*s[26])/396 - 6*s[35] + 17*s[36] - s[37]/2 - 30*s[38] + 
       (37*s[39])/4 - (25*s[40])/4 + s[41]/4 + (95*s[42])/4 - 
       (2579*s[43])/44 + (3305*s[44])/88 - (955*s[45])/44 + (1285*s[46])/22 + 
       (16985*s[47])/264 - (18589*s[48])/264 + (84037*s[49])/264 - 
       (1526*s[50])/11 + (4547*s[51])/264 + (4165*s[52])/264 + 
       (21*s[53])/22 + (3907*s[54])/11 + (29485*s[55])/264 - 
       (108709*s[56])/264 + (152095*s[57])/198 - (407969*s[58])/2376 + 
       (214505*s[59])/2376 - (3336613*s[60])/1584 - (800621*s[61])/5346 - 
       3*s[62] + 24*s[79] - 19*s[80]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 1, 0, 1}, 1 - v]*((-9*s[2])/4 + (153*s[3])/8 + 
       (2487*s[4])/16 + (1601*s[5])/88 + (31423*s[6])/176 + 
       (1591609*s[7])/1056 - (286043*s[8])/1584 - (43249*s[9])/36 - 
       (10679*s[10])/36 - (1820771*s[11])/1056 - (134491*s[12])/66 - 
       (1341481*s[13])/1056 + (191593*s[14])/1056 - (176167*s[15])/96 - 
       (652051*s[16])/264 - (570159*s[17])/352 - (13693*s[18])/54 - 
       (100063*s[19])/432 - (12421399*s[20])/4752 - (8230037*s[21])/9504 + 
       (7336357*s[22])/9504 + (712013*s[23])/264 + (1733801*s[24])/1188 - 
       (101216353*s[25])/42768 + (49879993*s[26])/42768 + (3*s[30])/2 - 
       3*s[33] + s[34]/2 - (3*s[35])/2 - (51*s[36])/2 + (151*s[37])/12 + 
       75*s[38] - (1257*s[39])/4 + (1387*s[40])/4 - (525*s[41])/2 + 
       (1825*s[42])/4 + (11113*s[43])/44 - (50683*s[44])/176 + 
       (58295*s[45])/264 - (535547*s[46])/264 + (20739*s[47])/176 - 
       (3329*s[48])/176 - (200993*s[49])/176 + (16804*s[50])/11 + 
       (155885*s[51])/528 + (45205*s[52])/176 - (407933*s[53])/396 + 
       (787*s[54])/66 - (1122783*s[55])/176 - (2719375*s[56])/1584 + 
       (7081205*s[57])/2376 - (50451635*s[58])/14256 + 
       (50859065*s[59])/14256 + (50511731*s[60])/3168 - 
       (106522061*s[61])/128304 - s[65] - 3*s[66] + 3*s[67] + 3*s[69] + 
       s[71] + 3*s[72] - 3*s[73] - (9*s[74])/4 + (9*s[75])/4 - (3*s[77])/2 + 
       3*s[78] + 26*s[79] - (65*s[80])/6) + D25[w, v, u]*
      ((-3*s[3])/2 - (35*s[4])/4 - (465*s[5])/22 - (867*s[6])/44 - 
       (83659*s[7])/264 + (3469*s[8])/1188 + (15607*s[9])/54 + 
       (3199*s[10])/27 + (267745*s[11])/792 + (32773*s[12])/99 + 
       (156043*s[13])/792 + (75121*s[14])/792 + (36623*s[15])/72 + 
       (227789*s[16])/396 + (406135*s[17])/792 + (2830*s[18])/81 + 
       (28445*s[19])/324 + (2567693*s[20])/3564 + (1887427*s[21])/7128 - 
       (1242371*s[22])/7128 - (40627*s[23])/396 - (1538665*s[24])/3564 + 
       (12940757*s[25])/32076 - (7646075*s[26])/32076 - (3*s[33])/2 + 
       2*s[34] - s[36] - (4*s[37])/3 - 11*s[38] + (37*s[39])/4 - 
       (33*s[40])/4 + (35*s[41])/4 - (7*s[42])/4 - (843*s[43])/44 + 
       (997*s[44])/88 - (2429*s[45])/66 + (22333*s[46])/132 + 
       (923*s[47])/88 - (2575*s[48])/88 + (8055*s[49])/88 - (1582*s[50])/11 - 
       (1849*s[51])/264 - (645*s[52])/88 + (40259*s[53])/396 + 
       (3011*s[54])/66 + (194201*s[55])/264 + (107885*s[56])/792 + 
       (61235*s[57])/297 + (1197799*s[58])/7128 - (1468501*s[59])/7128 - 
       (2704951*s[60])/1584 + (4378387*s[61])/64152 + s[71] - (20*s[80])/3) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1}, 1 - w]*
      ((7*s[3])/2 - (87*s[4])/4 + (77*s[5])/2 + 41*s[6] + (11311*s[7])/72 + 
       (119*s[8])/27 - (18343*s[9])/108 - (1487*s[10])/27 - (4277*s[11])/36 - 
       (4949*s[12])/72 + (207*s[13])/8 - (16603*s[14])/72 - (2367*s[15])/8 - 
       (977*s[16])/3 - (3652*s[17])/9 - (46139*s[18])/324 + (9200*s[19])/81 - 
       (174359*s[20])/324 - (215905*s[21])/648 + (53627*s[22])/648 + 
       (2967*s[23])/8 + (16055*s[24])/648 - (96463*s[25])/5832 + 
       (1047115*s[26])/5832 - 2*s[35] + (17*s[36])/3 - s[37]/6 - 7*s[38] - 
       (49*s[39])/4 + (175*s[40])/12 - (59*s[41])/4 + (389*s[42])/12 - 
       (77*s[43])/12 + (25*s[44])/24 + (107*s[45])/12 - (221*s[46])/2 + 
       (2209*s[47])/72 - (1649*s[48])/72 + (3521*s[49])/72 + (151*s[50])/3 + 
       (1379*s[51])/72 + (1265*s[52])/72 - (224*s[53])/3 + 129*s[54] - 
       (10561*s[55])/24 - (20069*s[56])/72 + (20297*s[57])/54 - 
       (168997*s[58])/648 + (162013*s[59])/648 + (139519*s[60])/432 - 
       (337211*s[61])/2916 - s[62] + 8*s[79] - (19*s[80])/3) + 
     B9[u, v, w]*HPL[{1}, 1 - u]*((-5*s[37])/6 - 11*s[38] + (23*s[39])/2 - 
       (23*s[40])/2 + 11*s[41] - 6*s[42] - (493*s[43])/22 + (625*s[44])/44 - 
       (4429*s[45])/132 + (22333*s[46])/132 + (1379*s[47])/132 - 
       (3835*s[48])/132 + (13771*s[49])/132 - (1582*s[50])/11 - 
       (1117*s[51])/132 - (1259*s[52])/132 + (40259*s[53])/396 + 
       (3011*s[54])/66 + (94543*s[55])/132 + (48481*s[56])/396 + 
       (114781*s[57])/594 + (144185*s[58])/891 - (759017*s[59])/3564 - 
       (225463*s[60])/132 + (3885697*s[61])/64152 + s[71] - (17*s[80])/3) + 
     D25[u, w, v]*(-6*s[5] - 8*s[6] - 64*s[7] + (8*s[8])/3 + (176*s[9])/3 + 
       (64*s[10])/3 + 64*s[11] + 58*s[12] + 32*s[13] + 28*s[14] + 96*s[15] + 
       108*s[16] + 104*s[17] + (184*s[18])/9 + (8*s[19])/9 + (1312*s[20])/9 + 
       (616*s[21])/9 - (308*s[22])/9 - 76*s[23] - (374*s[24])/9 + 
       (5485*s[25])/81 - (4387*s[26])/81 - (5*s[37])/6 - 9*s[38] + 
       (39*s[39])/2 - (39*s[40])/2 + 19*s[41] - 22*s[42] - (493*s[43])/22 + 
       (889*s[44])/44 - (5485*s[45])/132 + (30781*s[46])/132 + 
       (323*s[47])/132 - (1723*s[48])/132 + (15091*s[49])/132 - 
       (2198*s[50])/11 - (2173*s[51])/132 - (995*s[52])/132 + 
       (56099*s[53])/396 + (3011*s[54])/66 + (126575*s[55])/132 + 
       (76201*s[56])/396 + (39937*s[57])/594 + (262391*s[58])/891 - 
       (1203329*s[59])/3564 - (280595*s[60])/132 + (6501673*s[61])/64152 + 
       s[71] - (17*s[80])/3) + B9[v, w, u]*HPL[{1}, 1 - u]*
      (-6*s[5] - 8*s[6] - 64*s[7] + (8*s[8])/3 + (176*s[9])/3 + 
       (64*s[10])/3 + 64*s[11] + 58*s[12] + 32*s[13] + 28*s[14] + 96*s[15] + 
       108*s[16] + 104*s[17] + (184*s[18])/9 + (8*s[19])/9 + (1312*s[20])/9 + 
       (616*s[21])/9 - (308*s[22])/9 - 76*s[23] - (374*s[24])/9 + 
       (5485*s[25])/81 - (4387*s[26])/81 - (5*s[37])/6 - 9*s[38] + 
       (39*s[39])/2 - (39*s[40])/2 + 19*s[41] - 22*s[42] - (493*s[43])/22 + 
       (889*s[44])/44 - (5485*s[45])/132 + (30781*s[46])/132 + 
       (323*s[47])/132 - (1723*s[48])/132 + (15091*s[49])/132 - 
       (2198*s[50])/11 - (2173*s[51])/132 - (995*s[52])/132 + 
       (56099*s[53])/396 + (3011*s[54])/66 + (126575*s[55])/132 + 
       (76201*s[56])/396 + (39937*s[57])/594 + (262391*s[58])/891 - 
       (1203329*s[59])/3564 - (280595*s[60])/132 + (6501673*s[61])/64152 + 
       s[71] - (17*s[80])/3) + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 1}, 1 - u]*
      ((-15*s[2])/2 + 32*s[3] + (845*s[4])/8 - (6339*s[5])/88 - (5*s[6])/44 + 
       (1613*s[7])/88 - (16553*s[8])/198 + (760*s[9])/9 + (7033*s[10])/72 - 
       (12323*s[11])/132 - (69719*s[12])/264 - (56191*s[13])/264 + 
       (14611*s[14])/33 + (2191*s[15])/24 + (959*s[16])/264 + 
       (10885*s[17])/33 + (6617*s[18])/108 - (4885*s[19])/54 + 
       (110956*s[20])/297 + (843263*s[21])/2376 - (2450*s[22])/297 + 
       (240419*s[23])/264 - (14215*s[24])/2376 - (7835191*s[25])/21384 - 
       (1087355*s[26])/21384 + (3*s[30])/2 - 3*s[31] + (19*s[32])/2 - 
       (27*s[33])/8 + (9*s[34])/2 - 5*s[36] + s[37] + 10*s[38] - 
       (65*s[39])/2 + (73*s[40])/2 - (59*s[41])/2 + (89*s[42])/2 + 
       (749*s[43])/22 - (1387*s[44])/44 + (310*s[45])/11 - (5211*s[46])/22 + 
       (151*s[47])/44 + (481*s[48])/44 - (5249*s[49])/44 + (1761*s[50])/11 + 
       (1297*s[51])/44 + (1563*s[52])/44 - (3262*s[53])/33 - (300*s[54])/11 - 
       (90157*s[55])/132 - (28625*s[56])/132 + (40091*s[57])/99 - 
       (537187*s[58])/1188 + (510025*s[59])/1188 + (479483*s[60])/264 - 
       (1078471*s[61])/10692 - 3*s[66] + 8*s[68] - 8*s[69] + 24*s[70] + 
       3*s[76] - 32*s[77] + 6*s[79] - 2*s[80]) + 
     D26[u, w, v]*((-3*s[3])/2 + (67*s[4])/4 + (261*s[5])/22 + 
       (1399*s[6])/44 + (24481*s[7])/88 - (28321*s[8])/1188 - 
       (6293*s[9])/27 - (1807*s[10])/27 - (243997*s[11])/792 - 
       (34162*s[12])/99 - (165751*s[13])/792 - (31249*s[14])/792 - 
       (25367*s[15])/72 - (181631*s[16])/396 - (264403*s[17])/792 - 
       (4642*s[18])/81 - (9353*s[19])/324 - (1973195*s[20])/3564 - 
       (1454791*s[21])/7128 + (1045871*s[22])/7128 + (137617*s[23])/396 + 
       (1053199*s[24])/3564 - (12550973*s[25])/32076 + 
       (7043963*s[26])/32076 - s[36] + (13*s[37])/6 + 11*s[38] - 
       (169*s[39])/4 + (193*s[40])/4 - (153*s[41])/4 + (245*s[42])/4 + 
       (1691*s[43])/44 - (3517*s[44])/88 + (4397*s[45])/132 - 
       (20149*s[46])/66 + (3899*s[47])/264 + (1721*s[48])/264 - 
       (43025*s[49])/264 + (2490*s[50])/11 + (10921*s[51])/264 + 
       (10111*s[52])/264 - (29921*s[53])/198 + (1141*s[54])/33 - 
       (257441*s[55])/264 - (222349*s[56])/792 + (221521*s[57])/594 - 
       (3614945*s[58])/7128 + (3595073*s[59])/7128 + (3955729*s[60])/1584 - 
       (2067581*s[61])/16038 + 8*s[79] - (5*s[80])/3) + 
     B7[v, w, u]*HPL[{1}, 1 - u]*(4*s[3] + (39*s[4])/4 + (383*s[5])/44 + 
       (167*s[6])/11 + (112933*s[7])/792 - (6691*s[8])/594 - 
       (12685*s[9])/108 - (4091*s[10])/108 - (122267*s[11])/792 - 
       (65111*s[12])/396 - (77683*s[13])/792 - (11861*s[14])/792 - 
       (14777*s[15])/72 - (97841*s[16])/396 - (53957*s[17])/264 - 
       (8549*s[18])/324 - (8665*s[19])/324 - (1000279*s[20])/3564 - 
       (733985*s[21])/7128 + (510727*s[22])/7128 + (72265*s[23])/396 + 
       (565691*s[24])/3564 - (12728027*s[25])/64152 + (7052267*s[26])/64152 + 
       s[36]/3 + (5*s[37])/6 + 5*s[38] - 19*s[39] + (62*s[40])/3 - 14*s[41] + 
       (161*s[42])/6 + (541*s[43])/33 - (529*s[44])/33 + (844*s[45])/33 - 
       (5285*s[46])/33 + (860*s[47])/99 - (394*s[48])/99 - 
       (14521*s[49])/198 + (4030*s[50])/33 + (3239*s[51])/198 + 
       (2987*s[52])/198 - (8956*s[53])/99 + (142*s[54])/33 - 
       (6396*s[55])/11 - (9473*s[56])/66 + (6473*s[57])/66 - 
       (71728*s[58])/297 + (75676*s[59])/297 + (1535305*s[60])/1188 - 
       (407743*s[61])/5346 + s[76] - (4*s[80])/3) + 
     B5[w, u, v]*HPL[{1}, 1 - u]*((11*s[4])/2 + (11*s[5])/2 + 7*s[6] + 
       (3703*s[7])/36 - (220*s[8])/27 - (4715*s[9])/54 - (1729*s[10])/54 - 
       (3989*s[11])/36 - (2129*s[12])/18 - (2557*s[13])/36 - (323*s[14])/36 - 
       (5197*s[15])/36 - (3137*s[16])/18 - (569*s[17])/4 - (2509*s[18])/162 - 
       (3893*s[19])/162 - (33139*s[20])/162 - (23111*s[21])/324 + 
       (17473*s[22])/324 + (1747*s[23])/18 + (19715*s[24])/162 - 
       (412391*s[25])/2916 + (217091*s[26])/2916 - (2*s[36])/3 + s[37]/3 + 
       4*s[38] - 13*s[39] + (41*s[40])/3 - 11*s[41] + (52*s[42])/3 + 
       (41*s[43])/3 - (73*s[44])/6 + (47*s[45])/3 - (340*s[46])/3 + 
       (77*s[47])/18 + (11*s[48])/18 - (1109*s[49])/18 + (278*s[50])/3 + 
       (193*s[51])/18 + (157*s[52])/18 - (590*s[53])/9 - (46*s[54])/3 - 
       (2513*s[55])/6 - (505*s[56])/6 + 27*s[57] - (8407*s[58])/54 + 
       (9331*s[59])/54 + (105509*s[60])/108 - (11656*s[61])/243 + 2*s[76] - 
       (4*s[80])/3) + B6[u, v, w]*HPL[{1}, 1 - u]*(-4*s[3] + s[4]/2 - s[5] - 
       (5*s[6])/2 + (47*s[7])/3 - (143*s[8])/54 - (917*s[9])/54 - 
       (271*s[10])/54 - (146*s[11])/9 - (178*s[12])/9 - (95*s[13])/9 + 
       (11*s[14])/18 - (164*s[15])/9 - (215*s[16])/9 - (104*s[17])/9 + 
       (22*s[18])/81 - (145*s[19])/81 - (5215*s[20])/162 - (1441*s[21])/162 + 
       (3703*s[22])/324 + (118*s[23])/9 + (1465*s[24])/81 - 
       (61277*s[25])/2916 + (28247*s[26])/2916 + s[37]/3 - 3*s[39] + 
       5*s[40] - 5*s[41] + 6*s[42] + 3*s[43] - (9*s[44])/2 - (4*s[45])/3 - 
       (44*s[46])/3 - s[47]/6 + (5*s[48])/6 - (89*s[49])/6 + 18*s[50] + 
       (7*s[51])/2 + (13*s[52])/6 - (76*s[53])/9 - (14*s[54])/3 - 
       (329*s[55])/6 - (97*s[56])/18 + (2639*s[57])/108 - (1792*s[58])/81 + 
       (2305*s[59])/81 + (1498*s[60])/9 + (6101*s[61])/2916 + 4*s[79] - 
       (4*s[80])/3) + B6[w, v, u]*HPL[{1}, 1 - w]*((3*s[2])/2 - 4*s[3] + 
       (15*s[4])/2 + (239*s[5])/44 + (529*s[6])/44 + (6541*s[7])/44 - 
       (14375*s[8])/1188 - (14077*s[9])/108 - (3851*s[10])/108 - 
       (67393*s[11])/396 - (77993*s[12])/396 - (11896*s[13])/99 - 
       (1225*s[14])/99 - (3235*s[15])/18 - (95353*s[16])/396 - 
       (15859*s[17])/99 - (1685*s[18])/81 - (3905*s[19])/162 - 
       (521159*s[20])/1782 - (355687*s[21])/3564 + (73520*s[22])/891 + 
       (15845*s[23])/99 + (606311*s[24])/3564 - (14105141*s[25])/64152 + 
       (7329941*s[26])/64152 - s[32]/2 - s[36] + (4*s[37])/3 + 8*s[38] - 
       (57*s[39])/2 + (65*s[40])/2 - (49*s[41])/2 + 40*s[42] + 
       (585*s[43])/22 - (595*s[44])/22 + (628*s[45])/33 - (11939*s[46])/66 + 
       (541*s[47])/66 + (409*s[48])/66 - (7651*s[49])/66 + (1498*s[50])/11 + 
       (884*s[51])/33 + (766*s[52])/33 - (8627*s[53])/99 + (191*s[54])/33 - 
       (36367*s[55])/66 - (28235*s[56])/198 + (143513*s[57])/594 - 
       (269063*s[58])/891 + (540097*s[59])/1782 + (599963*s[60])/396 - 
       (530318*s[61])/8019 + s[67] + s[69] - 2*s[73] + 4*s[79] - 
       (4*s[80])/3) + B6[v, w, u]*HPL[{1}, 1 - w]*(4*s[3] + 17*s[4] + 
       (129*s[5])/44 + (1057*s[6])/44 + (22483*s[7])/132 - 
       (18797*s[8])/1188 - (14641*s[9])/108 - (4259*s[10])/108 - 
       (77029*s[11])/396 - (87959*s[12])/396 - (28577*s[13])/198 + 
       (355*s[14])/198 - (1907*s[15])/9 - (111655*s[16])/396 - 
       (38747*s[17])/198 - (4177*s[18])/162 - (2584*s[19])/81 - 
       (271354*s[20])/891 - (367105*s[21])/3564 + (154201*s[22])/1782 + 
       (46309*s[23])/198 + (660827*s[24])/3564 - (16851863*s[25])/64152 + 
       (8528699*s[26])/64152 + s[32]/2 - s[36] + (4*s[37])/3 + 8*s[38] - 
       (57*s[39])/2 + (65*s[40])/2 - (49*s[41])/2 + 40*s[42] + 
       (585*s[43])/22 - (595*s[44])/22 + (628*s[45])/33 - (11939*s[46])/66 + 
       (541*s[47])/66 + (409*s[48])/66 - (7651*s[49])/66 + (1498*s[50])/11 + 
       (884*s[51])/33 + (766*s[52])/33 - (8627*s[53])/99 + (191*s[54])/33 - 
       (36367*s[55])/66 - (28235*s[56])/198 + (143513*s[57])/594 - 
       (269063*s[58])/891 + (540097*s[59])/1782 + (599963*s[60])/396 - 
       (530318*s[61])/8019 + s[67] + s[69] - 2*s[73] + 4*s[79] - 
       (4*s[80])/3) + D31[v, w, u]*((25*s[4])/2 + (261*s[5])/44 + 
       (837*s[6])/44 + (23099*s[7])/132 - (17939*s[8])/1188 - 
       (15805*s[9])/108 - (4553*s[10])/108 - (78085*s[11])/396 - 
       (88289*s[12])/396 - (27389*s[13])/198 - (1757*s[14])/198 - 
       (3973*s[15])/18 - (114229*s[16])/396 - (40397*s[17])/198 - 
       (9179*s[18])/324 - (2254*s[19])/81 - (592637*s[20])/1782 - 
       (420037*s[21])/3564 + (164563*s[22])/1782 + (87767*s[23])/396 + 
       (682343*s[24])/3564 - (16536779*s[25])/64152 + (8738711*s[26])/64152 - 
       s[36] + (4*s[37])/3 + 8*s[38] - 29*s[39] + 33*s[40] - 25*s[41] + 
       41*s[42] + (287*s[43])/11 - (595*s[44])/22 + (1289*s[45])/66 - 
       (12071*s[46])/66 + (607*s[47])/66 + (277*s[48])/66 - (7585*s[49])/66 + 
       (1531*s[50])/11 + (615*s[51])/22 + (1565*s[52])/66 - (8825*s[53])/99 + 
       (257*s[54])/33 - (18530*s[55])/33 - (14860*s[56])/99 + 
       (150641*s[57])/594 - (551491*s[58])/1782 + (550789*s[59])/1782 + 
       (604055*s[60])/396 - (2204135*s[61])/32076 + s[67] + s[68] + s[70] - 
       s[77] + 4*s[79] - (4*s[80])/3) + D31[w, u, v]*(-4*s[3] - (15*s[5])/4 - 
       (25*s[6])/4 - (95*s[7])/6 - (19*s[8])/108 + (1187*s[9])/108 + 
       (541*s[10])/108 + (535*s[11])/36 + (365*s[12])/36 + (43*s[13])/9 + 
       (233*s[14])/18 + (991*s[15])/36 + (265*s[16])/9 + (653*s[17])/18 + 
       (4141*s[18])/324 - (184*s[19])/81 + (3322*s[20])/81 + 
       (7975*s[21])/324 - (365*s[22])/81 - (221*s[23])/9 - (1789*s[24])/162 + 
       (77639*s[25])/5832 - (105359*s[26])/5832 - s[32] - s[36] + s[37]/3 - 
       s[38]/2 + (3*s[39])/4 + (5*s[40])/4 - (5*s[41])/4 + s[42]/4 - 
       (3*s[43])/4 - (11*s[44])/8 - (61*s[45])/12 + (101*s[46])/6 - 
       (13*s[47])/8 + (17*s[48])/8 + (11*s[49])/8 - 5*s[50] + (19*s[51])/24 - 
       s[52]/8 + (193*s[53])/18 - (8*s[54])/3 + (1549*s[55])/24 + 
       (1277*s[56])/72 + (203*s[57])/27 + (12961*s[58])/648 - 
       (14905*s[59])/648 - (11665*s[60])/144 + (19165*s[61])/1458 + 2*s[63] + 
       s[67] - s[70] + s[77] + 4*s[79] - (4*s[80])/3) + 
     B6[w, v, u]*HPL[{1}, 1 - u]*((3*s[3])/4 + (111*s[4])/8 + (57*s[5])/11 + 
       (1333*s[6])/88 + (284261*s[7])/1584 - (38639*s[8])/2376 - 
       (16313*s[9])/108 - (4729*s[10])/108 - (324341*s[11])/1584 - 
       (92425*s[12])/396 - (25579*s[13])/176 + (2587*s[14])/1584 - 
       (3631*s[15])/16 - (78349*s[16])/264 - (326839*s[17])/1584 - 
       (8341*s[18])/324 - (22789*s[19])/648 - (2385211*s[20])/7128 - 
       (1601135*s[21])/14256 + (1368523*s[22])/14256 + (19901*s[23])/88 + 
       (1455623*s[24])/7128 - (8695679*s[25])/32076 + (1084940*s[26])/8019 - 
       s[36]/6 + (23*s[37])/12 + 9*s[38] - (241*s[39])/8 + (823*s[40])/24 - 
       (205*s[41])/8 + (1007*s[42])/24 + (6965*s[43])/264 - 
       (14863*s[44])/528 + (6421*s[45])/264 - (8953*s[46])/44 + 
       (17945*s[47])/1584 + (2435*s[48])/1584 - (189707*s[49])/1584 + 
       (5275*s[50])/33 + (48163*s[51])/1584 + (39133*s[52])/1584 - 
       (13457*s[53])/132 - (89*s[54])/22 - (114971*s[55])/176 - 
       (262213*s[56])/1584 + (303295*s[57])/1188 - (4810337*s[58])/14256 + 
       (4837193*s[59])/14256 + (16271147*s[60])/9504 - 
       (2550437*s[61])/32076 + 4*s[79] - (7*s[80])/6) + 
     B6[w, u, v]*HPL[{1}, 1 - u]*((13*s[3])/4 + (111*s[4])/8 + 
       (235*s[5])/22 + (2169*s[6])/88 + (344981*s[7])/1584 - 
       (41191*s[8])/2376 - (19579*s[9])/108 - (6107*s[10])/108 - 
       (382729*s[11])/1584 - (105647*s[12])/396 - (254807*s[13])/1584 - 
       (35737*s[14])/1584 - (41287*s[15])/144 - (289453*s[16])/792 - 
       (146977*s[17])/528 - (13967*s[18])/324 - (21425*s[19])/648 - 
       (3057707*s[20])/7128 - (2277547*s[21])/14256 + (1599083*s[22])/14256 + 
       (218159*s[23])/792 + (1710757*s[24])/7128 - (4943957*s[25])/16038 + 
       (5518729*s[26])/32076 - s[30] - s[36]/6 + (13*s[37])/12 + 10*s[38] - 
       (265*s[39])/8 + (847*s[40])/24 - (213*s[41])/8 + (1067*s[42])/24 + 
       (8549*s[43])/264 - (15655*s[44])/528 + (8357*s[45])/264 - 
       (32051*s[46])/132 + (17153*s[47])/1584 + (9563*s[48])/1584 - 
       (219803*s[49])/1584 + (5902*s[50])/33 + (45523*s[51])/1584 + 
       (40717*s[52])/1584 - (49765*s[53])/396 + (41*s[54])/66 - 
       (140403*s[55])/176 - (106999*s[56])/528 + (15611*s[57])/66 - 
       (1821451*s[58])/4752 + (1887427*s[59])/4752 + (19003811*s[60])/9504 - 
       (270764*s[61])/2673 + s[76] - (5*s[80])/6) + 
     B6[v, w, u]*HPL[{1}, 1 - u]*((-3*s[3])/4 + (67*s[4])/8 + (371*s[5])/44 + 
       (1575*s[6])/88 + (28001*s[7])/176 - (30697*s[8])/2376 - 
       (3592*s[9])/27 - (2185*s[10])/54 - (272113*s[11])/1584 - 
       (18566*s[12])/99 - (178819*s[13])/1584 - (47485*s[14])/1584 - 
       (30335*s[15])/144 - (209549*s[16])/792 - (324199*s[17])/1584 - 
       (5425*s[18])/162 - (10757*s[19])/648 - (2296331*s[20])/7128 - 
       (1733971*s[21])/14256 + (1182491*s[22])/14256 + (146131*s[23])/792 + 
       (1201105*s[24])/7128 - (13796591*s[25])/64152 + 
       (7990205*s[26])/64152 - s[36]/2 + (13*s[37])/12 + 6*s[38] - 
       (171*s[39])/8 + (191*s[40])/8 - (151*s[41])/8 + (239*s[42])/8 + 
       (1757*s[43])/88 - (3495*s[44])/176 + (5519*s[45])/264 - 
       (22789*s[46])/132 + (3305*s[47])/528 + (2051*s[48])/528 - 
       (43883*s[49])/528 + (1410*s[50])/11 + (3281*s[51])/176 + 
       (10309*s[52])/528 - (35663*s[53])/396 + (1603*s[54])/66 - 
       (311627*s[55])/528 - (260959*s[56])/1584 + (162517*s[57])/1188 - 
       (3837299*s[58])/14256 + (3881579*s[59])/14256 + (4471387*s[60])/3168 - 
       (2430713*s[61])/32076 + 4*s[79] - (5*s[80])/6) + 
     B10[w, u, v]*HPL[{1}, 1 - u]*((-11*s[4])/2 - 3*s[5] - (5*s[6])/2 - 
       (2875*s[7])/36 + (347*s[8])/54 + (1798*s[9])/27 + (722*s[10])/27 + 
       (3203*s[11])/36 + (856*s[12])/9 + (2185*s[13])/36 - (85*s[14])/36 + 
       (3943*s[15])/36 + (2447*s[16])/18 + (1247*s[17])/12 + (923*s[18])/81 + 
       (3539*s[19])/162 + (24385*s[20])/162 + (16817*s[21])/324 - 
       (13633*s[22])/324 - (1519*s[23])/18 - (15509*s[24])/162 + 
       (169357*s[25])/1458 - (85423*s[26])/1458 + (2*s[36])/3 - s[37]/3 - 
       4*s[38] + (23*s[39])/2 - (73*s[40])/6 + (19*s[41])/2 - (89*s[42])/6 - 
       (73*s[43])/6 + (131*s[44])/12 - (73*s[45])/6 + (271*s[46])/3 - 
       (61*s[47])/36 - (127*s[48])/36 + (2143*s[49])/36 - (230*s[50])/3 - 
       (335*s[51])/36 - (245*s[52])/36 + (449*s[53])/9 + (76*s[54])/3 + 
       (3889*s[55])/12 + (707*s[56])/12 - 49*s[57] + (13991*s[58])/108 - 
       (15263*s[59])/108 - (172855*s[60])/216 + (8233*s[61])/243 - 
       (2*s[80])/3) + B10[w, u, v]*HPL[{1}, 1 - w]*(-8*s[3] - 14*s[4] - 
       (107*s[5])/22 - (683*s[6])/22 - (14051*s[7])/99 + (7819*s[8])/594 + 
       (5975*s[9])/54 + (1117*s[10])/54 + (33293*s[11])/198 + 
       (39493*s[12])/198 + (12704*s[13])/99 + (1174*s[14])/99 + 
       (2699*s[15])/18 + (22118*s[16])/99 + (1488*s[17])/11 + 
       (6055*s[18])/162 + (430*s[19])/81 + (230671*s[20])/891 + 
       (166157*s[21])/1782 - (61724*s[22])/891 - (24562*s[23])/99 - 
       (116051*s[24])/891 + (7207987*s[25])/32076 - (3860563*s[26])/32076 - 
       2*s[32] - (4*s[36])/3 - (4*s[37])/3 - 8*s[38] + (55*s[39])/2 - 
       (181*s[40])/6 + (39*s[41])/2 - (227*s[42])/6 - (1343*s[43])/66 + 
       (2905*s[44])/132 - (1379*s[45])/66 + (5471*s[46])/33 - 
       (5051*s[47])/396 - (1025*s[48])/396 + (32885*s[49])/396 - 
       (3268*s[50])/33 - (11437*s[51])/396 - (10519*s[52])/396 + 
       (6463*s[53])/99 - (1504*s[54])/33 + (18309*s[55])/44 + 
       (21649*s[56])/132 - (4056*s[57])/11 + (388561*s[58])/1188 - 
       (343009*s[59])/1188 - (2854853*s[60])/2376 + (194753*s[61])/2673 + 
       2*s[76] - (2*s[80])/3) + B10[v, w, u]*HPL[{1}, 1 - w]*
      (-3*s[2] - (7*s[4])/2 - (81*s[5])/11 - (463*s[6])/22 - (6339*s[7])/44 + 
       (5927*s[8])/594 + (3374*s[9])/27 + (730*s[10])/27 + 
       (66443*s[11])/396 + (19576*s[12])/99 + (50189*s[13])/396 + 
       (6599*s[14])/396 + (5269*s[15])/36 + (42817*s[16])/198 + 
       (49421*s[17])/396 + (3052*s[18])/81 - (23*s[19])/162 + 
       (495475*s[20])/1782 + (371573*s[21])/3564 - (276541*s[22])/3564 - 
       (38399*s[23])/198 - (241661*s[24])/1782 + (3439747*s[25])/16038 - 
       (1876321*s[26])/16038 - 3*s[33] + 2*s[34] - (4*s[36])/3 - 
       (4*s[37])/3 - 8*s[38] + (55*s[39])/2 - (181*s[40])/6 + (39*s[41])/2 - 
       (227*s[42])/6 - (1343*s[43])/66 + (2905*s[44])/132 - (1379*s[45])/66 + 
       (5471*s[46])/33 - (5051*s[47])/396 - (1025*s[48])/396 + 
       (32885*s[49])/396 - (3268*s[50])/33 - (11437*s[51])/396 - 
       (10519*s[52])/396 + (6463*s[53])/99 - (1504*s[54])/33 + 
       (18309*s[55])/44 + (21649*s[56])/132 - (4056*s[57])/11 + 
       (388561*s[58])/1188 - (343009*s[59])/1188 - (2854853*s[60])/2376 + 
       (194753*s[61])/2673 + 2*s[76] - (2*s[80])/3) + 
     B7[u, v, w]*HPL[{1}, 1 - u]*((39*s[4])/4 + (295*s[5])/44 + 
       (145*s[6])/11 + (119797*s[7])/792 - (7439*s[8])/594 - 
       (13721*s[9])/108 - (4351*s[10])/108 - (129901*s[11])/792 - 
       (70105*s[12])/396 - (9553*s[13])/88 - (10519*s[14])/792 - 
       (4991*s[15])/24 - (16591*s[16])/66 - (156701*s[17])/792 - 
       (7585*s[18])/324 - (9113*s[19])/324 - (1045577*s[20])/3564 - 
       (743071*s[21])/7128 + (563153*s[22])/7128 + (3843*s[23])/22 + 
       (149131*s[24])/891 - (13584817*s[25])/64152 + (7276249*s[26])/64152 + 
       s[36]/3 + (5*s[37])/3 + 6*s[38] - (43*s[39])/2 + (145*s[40])/6 - 
       (37*s[41])/2 + (179*s[42])/6 + (1445*s[43])/66 - (2809*s[44])/132 + 
       (1435*s[45])/66 - (1857*s[46])/11 + (2549*s[47])/396 + 
       (899*s[48])/396 - (36467*s[49])/396 + (4327*s[50])/33 + 
       (8623*s[51])/396 + (6271*s[52])/396 - (6187*s[53])/66 + 
       (18*s[54])/11 - (78523*s[55])/132 - (54517*s[56])/396 + 
       (32599*s[57])/297 - (886817*s[58])/3564 + (944885*s[59])/3564 + 
       (3359327*s[60])/2376 - (524720*s[61])/8019 + 4*s[79] - (2*s[80])/3) + 
     B6[u, w, v]*HPL[{1}, 1 - u]*((19*s[3])/4 + (67*s[4])/8 + (635*s[5])/44 + 
       (2279*s[6])/88 + (104771*s[7])/528 - (10687*s[8])/792 - 
       (1510*s[9])/9 - (967*s[10])/18 - (111619*s[11])/528 - 
       (7307*s[12])/33 - (67673*s[13])/528 - (27943*s[14])/528 - 
       (4423*s[15])/16 - (88843*s[16])/264 - (49447*s[17])/176 - 
       (2791*s[18])/54 - (3383*s[19])/216 - (997529*s[20])/2376 - 
       (814153*s[21])/4752 + (479333*s[22])/4752 + (62189*s[23])/264 + 
       (473731*s[24])/2376 - (5430911*s[25])/21384 + (3454529*s[26])/21384 + 
       s[30] - s[36]/2 + (3*s[37])/4 + 6*s[38] - (199*s[39])/8 + 
       (211*s[40])/8 - (163*s[41])/8 + (291*s[42])/8 + (1713*s[43])/88 - 
       (3539*s[44])/176 + (2617*s[45])/88 - (9371*s[46])/44 + 
       (5549*s[47])/528 - (1777*s[48])/528 - (45335*s[49])/528 + 
       (1718*s[50])/11 + (12175*s[51])/528 + (11497*s[52])/528 - 
       (15217*s[53])/132 + (593*s[54])/22 - (394039*s[55])/528 - 
       (38035*s[56])/176 + (5765*s[57])/33 - (538943*s[58])/1584 + 
       (537527*s[59])/1584 + (5258063*s[60])/3168 - (63955*s[61])/594 - 
       s[80]/2) + B5[w, v, u]*HPL[{1}, 1 - u]*((11*s[4])/2 + (9*s[5])/2 + 
       4*s[6] + (3343*s[7])/36 - (199*s[8])/27 - (4241*s[9])/54 - 
       (1501*s[10])/54 - (3641*s[11])/36 - (967*s[12])/9 - (2353*s[13])/36 - 
       (137*s[14])/36 - (4885*s[15])/36 - (2909*s[16])/18 - (1573*s[17])/12 - 
       (1957*s[18])/162 - (3761*s[19])/162 - (14831*s[20])/81 - 
       (21575*s[21])/324 + (15859*s[22])/324 + (821*s[23])/9 + 
       (9058*s[24])/81 - (378473*s[25])/2916 + (204827*s[26])/2916 - 
       (5*s[36])/3 + (4*s[37])/3 + 4*s[38] - 12*s[39] + (38*s[40])/3 - 
       10*s[41] + (46*s[42])/3 + (44*s[43])/3 - (38*s[44])/3 + (44*s[45])/3 - 
       (310*s[46])/3 + (65*s[47])/18 + (17*s[48])/18 - (1133*s[49])/18 + 
       (254*s[50])/3 + (181*s[51])/18 + (71*s[52])/9 - (542*s[53])/9 - 
       (58*s[54])/3 - (2335*s[55])/6 - (445*s[56])/6 + (70*s[57])/3 - 
       (7621*s[58])/54 + (8779*s[59])/54 + (98549*s[60])/108 - 
       (19037*s[61])/486 + (2*s[80])/3) + D25[v, w, u]*
      ((9*s[3])/2 + (87*s[4])/4 + (289*s[5])/22 + (823*s[6])/44 + 
       (258853*s[7])/792 - (28417*s[8])/1188 - (7259*s[9])/27 - 
       (2902*s[10])/27 - (285037*s[11])/792 - (37525*s[12])/99 - 
       (63029*s[13])/264 + (2231*s[14])/792 - (11641*s[15])/24 - 
       (25349*s[16])/44 - (373619*s[17])/792 - (1231*s[18])/81 - 
       (38405*s[19])/324 - (2210831*s[20])/3564 - (1459879*s[21])/7128 + 
       (1215047*s[22])/7128 + (28517*s[23])/132 + (1593115*s[24])/3564 - 
       (15424337*s[25])/32076 + (7601591*s[26])/32076 - (17*s[36])/3 - 
       (2*s[37])/3 + 5*s[38] - (105*s[39])/4 + (311*s[40])/12 - 
       (79*s[41])/4 + (457*s[42])/12 + (3805*s[43])/132 - (6467*s[44])/264 + 
       (1571*s[45])/66 - (26909*s[46])/132 + (5113*s[47])/792 - 
       (5909*s[48])/792 - (108355*s[49])/792 + (5692*s[50])/33 + 
       (11663*s[51])/792 + (7433*s[52])/792 - (49411*s[53])/396 - 
       (2659*s[54])/66 - (197809*s[55])/264 - (30755*s[56])/264 + 
       (725*s[57])/33 - (644669*s[58])/2376 + (748631*s[59])/2376 + 
       (8477545*s[60])/4752 - (1491553*s[61])/21384 + s[62] + s[71] - 
       8*s[79] + (2*s[80])/3) + D26[u, v, w]*(-5*s[4] + s[5]/4 - (3*s[6])/4 - 
       (671*s[7])/12 + (179*s[8])/36 + (1727*s[9])/36 + (541*s[10])/36 + 
       (208*s[11])/3 + (1031*s[12])/12 + (623*s[13])/12 - (161*s[14])/12 + 
       (185*s[15])/3 + (281*s[16])/3 + (193*s[17])/4 + (331*s[18])/108 + 
       (943*s[19])/54 + (2752*s[20])/27 + (1379*s[21])/54 - 
       (3467*s[22])/108 - (449*s[23])/6 - (1853*s[24])/27 + 
       (186509*s[25])/1944 - (76097*s[26])/1944 + s[36] - s[37]/2 - 5*s[38] + 
       (53*s[39])/4 - (65*s[40])/4 + (41*s[41])/4 - (69*s[42])/4 - 
       (49*s[43])/4 + (103*s[44])/8 - (33*s[45])/4 + (127*s[46])/2 - 
       (73*s[47])/24 - (115*s[48])/24 + (1459*s[49])/24 - 54*s[50] - 
       (323*s[51])/24 - (197*s[52])/24 + (161*s[53])/6 + 29*s[54] + 
       (3907*s[55])/24 + (215*s[56])/8 - (805*s[57])/6 + (8443*s[58])/72 - 
       (8347*s[59])/72 - (86131*s[60])/144 + 15*s[61] + s[80]) + 
     F1[w, u, v]*Phi6[u, v, w]*((11*s[3])/2 + (37*s[5])/4 + (49*s[6])/4 + 
       75*s[7] - (19*s[8])/6 - (367*s[9])/6 - (337*s[10])/12 - 
       (1197*s[11])/16 - (135*s[12])/2 - (471*s[13])/16 - (627*s[14])/16 - 
       (1005*s[15])/8 - (2185*s[16])/16 - (2241*s[17])/16 - (295*s[18])/9 - 
       (29*s[19])/36 - (3341*s[20])/18 - (13639*s[21])/144 + 
       (4823*s[22])/144 + (1535*s[23])/16 + (9887*s[24])/144 - 
       (95491*s[25])/1296 + (93097*s[26])/1296 - s[30] - s[37]/2 + 3*s[38] - 
       7*s[39] + 4*s[40] - s[41] + (79*s[42])/8 + 7*s[43] - (23*s[44])/8 + 
       (27*s[45])/2 - 74*s[46] + (17*s[47])/6 - (2*s[48])/3 - 
       (683*s[49])/24 + (103*s[50])/2 + (127*s[51])/24 + (91*s[52])/24 - 
       (377*s[53])/8 + 4*s[54] - (890*s[55])/3 - (1903*s[56])/24 + 
       (89*s[57])/36 - (2854*s[58])/27 + (26279*s[59])/216 + 
       (81689*s[60])/144 - (174673*s[61])/3888 - 6*s[79] + 2*s[80]) + 
     D29[w, u, v]*(8*s[3] + s[5] + 3*s[6] - (94*s[7])/3 + (125*s[8])/27 + 
       (953*s[9])/27 + (289*s[10])/27 + (292*s[11])/9 + (329*s[12])/9 + 
       (199*s[13])/9 + (43*s[14])/9 + (343*s[15])/9 + (421*s[16])/9 + 
       (253*s[17])/9 - (107*s[18])/81 + (326*s[19])/81 + (5368*s[20])/81 + 
       (1486*s[21])/81 - (1901*s[22])/81 - (83*s[23])/9 - (7147*s[24])/162 + 
       (58397*s[25])/1458 - (26177*s[26])/1458 - (2*s[37])/3 + 6*s[39] - 
       10*s[40] + 10*s[41] - 12*s[42] - 6*s[43] + 9*s[44] + (8*s[45])/3 + 
       (76*s[46])/3 + s[47]/3 - (5*s[48])/3 + (83*s[49])/3 - 36*s[50] - 
       9*s[51] - (13*s[52])/3 + (152*s[53])/9 + (16*s[54])/3 + 
       (299*s[55])/3 + (79*s[56])/9 - (1378*s[57])/27 + (3377*s[58])/81 - 
       (4403*s[59])/81 - (6265*s[60])/18 - (7294*s[61])/729 + 2*s[68] + 
       s[75] - 8*s[79] + (8*s[80])/3) + D26[v, w, u]*
      ((19*s[3])/2 + (67*s[4])/4 + (415*s[5])/22 + (1795*s[6])/44 + 
       (78899*s[7])/264 - (8795*s[8])/396 - (2239*s[9])/9 - (668*s[10])/9 - 
       (86231*s[11])/264 - (11666*s[12])/33 - (18495*s[13])/88 - 
       (15227*s[14])/264 - (9557*s[15])/24 - (22083*s[16])/44 - 
       (104473*s[17])/264 - (2033*s[18])/27 - (2827*s[19])/108 - 
       (722353*s[20])/1188 - (570437*s[21])/2376 + (360577*s[22])/2376 + 
       (17305*s[23])/44 + (357857*s[24])/1188 - (4336147*s[25])/10692 + 
       (2590633*s[26])/10692 + 2*s[30] - s[36] + (3*s[37])/2 + 11*s[38] - 
       (169*s[39])/4 + (181*s[40])/4 - (133*s[41])/4 + (241*s[42])/4 + 
       (1471*s[43])/44 - (3033*s[44])/88 + (1979*s[45])/44 - 
       (7215*s[46])/22 + (1637*s[47])/88 - (233*s[48])/88 - 
       (12831*s[49])/88 + (2578*s[50])/11 + (3479*s[51])/88 + 
       (3297*s[52])/88 - (3701*s[53])/22 + (439*s[54])/11 - 
       (94863*s[55])/88 - (28465*s[56])/88 + (12124*s[57])/33 - 
       (431341*s[58])/792 + (419101*s[59])/792 + (449533*s[60])/176 - 
       (139175*s[61])/891 - 4*s[76] + 3*s[80]) + 
     D26[w, v, u]*(5*s[2] - 3*s[4] - (15*s[5])/4 - (11*s[6])/4 - 
       (427*s[7])/12 + (163*s[8])/36 + (1009*s[9])/36 + (485*s[10])/36 + 
       (149*s[11])/3 + (715*s[12])/12 + (475*s[13])/12 - (97*s[14])/12 + 
       (110*s[15])/3 + (187*s[16])/3 + (173*s[17])/4 - (277*s[18])/108 + 
       (1595*s[19])/54 + (1406*s[20])/27 + (1411*s[21])/54 - 
       (1879*s[22])/108 - (91*s[23])/6 - (1675*s[24])/27 + 
       (124153*s[25])/1944 - (72565*s[26])/1944 + 4*s[31] + (15*s[33])/2 - 
       2*s[34] + s[36] - s[37]/2 - 6*s[38] + (45*s[39])/4 - (49*s[40])/4 + 
       (33*s[41])/4 - (45*s[42])/4 - (57*s[43])/4 + (95*s[44])/8 - 
       (17*s[45])/4 + (87*s[46])/2 - (17*s[47])/24 - (251*s[48])/24 + 
       (1499*s[49])/24 - 34*s[50] - (73*s[51])/8 - (157*s[52])/24 + 
       (85*s[53])/6 + 29*s[54] + (705*s[55])/8 - (49*s[56])/8 - 
       (272*s[57])/3 + (1801*s[58])/24 - (707*s[59])/8 - (66995*s[60])/144 + 
       (259*s[61])/162 - 2*s[70] - 4*s[76] + 2*s[77] + 3*s[80]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 1}, 1 - u]*(-30*s[2] + 170*s[3] + 
       (663*s[4])/2 - (6751*s[5])/22 - (1436*s[6])/11 - (42806*s[7])/33 - 
       (20123*s[8])/99 + (13892*s[9])/9 + (13193*s[10])/18 + 
       (79525*s[11])/66 + (49853*s[12])/66 + (3757*s[13])/11 + 
       (117643*s[14])/66 + (6094*s[15])/3 + (48931*s[16])/22 + 
       (181397*s[17])/66 + (10969*s[18])/27 - (1939*s[19])/27 + 
       (1210565*s[20])/297 + (660026*s[21])/297 - (484277*s[22])/594 + 
       (48091*s[23])/22 - (968525*s[24])/594 + (3252547*s[25])/5346 - 
       (6392953*s[26])/5346 - 2*s[30] - 12*s[31] + 38*s[32] - (27*s[33])/2 + 
       18*s[34] - 8*s[36] - 6*s[37] - 32*s[38] + 95*s[39] - 123*s[40] + 
       87*s[41] - 131*s[42] - (981*s[43])/11 + (2191*s[44])/22 - 
       (1075*s[45])/11 + (7760*s[46])/11 - (1313*s[47])/66 - 
       (2435*s[48])/66 + (33419*s[49])/66 - (7572*s[50])/11 - 
       (2033*s[51])/22 - (3229*s[52])/66 + (14126*s[53])/33 + 
       (628*s[54])/11 + (179687*s[55])/66 + (9231*s[56])/22 - 
       (1982*s[57])/33 + (56021*s[58])/66 - (68377*s[59])/66 - 
       (2850311*s[60])/396 + (151979*s[61])/891 - 4*s[64] - 4*s[66] + 
       32*s[68] - 24*s[69] + 64*s[70] + 4*s[76] - 80*s[77] - 24*s[79] + 
       4*s[80]) + B10[v, w, u]*HPL[{1}, 1 - u]*((-33*s[4])/2 - (26*s[5])/11 - 
       (507*s[6])/22 - (23197*s[7])/132 + (11449*s[8])/594 + (3832*s[9])/27 + 
       (866*s[10])/27 + (81073*s[11])/396 + (24284*s[12])/99 + 
       (61585*s[13])/396 - (2795*s[14])/396 + (6845*s[15])/36 + 
       (54983*s[16])/198 + (65833*s[17])/396 + (2558*s[18])/81 + 
       (3077*s[19])/162 + (273274*s[20])/891 + (360925*s[21])/3564 - 
       (331871*s[22])/3564 - (60685*s[23])/198 - (312061*s[24])/1782 + 
       (2217772*s[25])/8019 - (2167535*s[26])/16038 - (4*s[36])/3 - s[37] - 
       8*s[38] + (69*s[39])/2 - (247*s[40])/6 + (61*s[41])/2 - 
       (311*s[42])/6 - (1673*s[43])/66 + (4027*s[44])/132 - (423*s[45])/22 + 
       (6571*s[46])/33 - (5183*s[47])/396 - (1553*s[48])/396 + 
       (44501*s[49])/396 - (4687*s[50])/33 - (13681*s[51])/396 - 
       (12565*s[52])/396 + (8663*s[53])/99 - (1328*s[54])/33 + 
       (73055*s[55])/132 + (77135*s[56])/396 - (129620*s[57])/297 + 
       (1367335*s[58])/3564 - (1296019*s[59])/3564 - (3722489*s[60])/2376 + 
       (1305347*s[61])/16038 - 8*s[79] + 4*s[80]) + 
     F1[v, w, u]*Phi6[u, v, w]*((-7*s[2])/4 + (27*s[3])/8 - s[4]/16 + 
       (173*s[5])/11 + (4273*s[6])/176 + (66257*s[7])/352 + 
       (2221*s[8])/4752 - (18313*s[9])/108 - (16483*s[10])/216 - 
       (595181*s[11])/3168 - (137029*s[12])/792 - (287795*s[13])/3168 - 
       (340181*s[14])/3168 - (87139*s[15])/288 - (559771*s[16])/1584 - 
       (1078991*s[17])/3168 - (15059*s[18])/324 - (31291*s[19])/1296 - 
       (6775867*s[20])/14256 - (5827127*s[21])/28512 + 
       (2807227*s[22])/28512 + (90245*s[23])/1584 + (3197699*s[24])/14256 - 
       (3187949*s[25])/16038 + (10331993*s[26])/64152 - s[31] - 
       (17*s[33])/8 + s[34] + s[35]/2 - (4*s[36])/3 - (13*s[37])/4 + 
       (87*s[39])/8 - (205*s[40])/24 + (47*s[41])/8 - (461*s[42])/24 + 
       (2341*s[43])/264 + (881*s[44])/264 + (2949*s[45])/88 - 
       (7069*s[46])/66 - (14797*s[47])/792 + (3055*s[48])/99 - 
       (8123*s[49])/792 + (5059*s[50])/66 - (1387*s[51])/99 - 
       (1327*s[52])/396 - (25123*s[53])/396 - (797*s[54])/132 - 
       (131765*s[55])/264 - (117323*s[56])/792 - (120721*s[57])/594 - 
       (98975*s[58])/891 + (883213*s[59])/7128 + (2300611*s[60])/2376 - 
       (10491287*s[61])/128304 - s[71]/2 - s[72] + s[73] + s[74]/4 - 
       s[75]/4 + s[76] + s[77]/2 - s[78] - 4*s[79] + (9*s[80])/2) + 
     D29[v, w, u]*(21*s[4] + (547*s[5])/22 + (991*s[6])/22 + 
       (56857*s[7])/132 - (3197*s[8])/99 - (3304*s[9])/9 - (2005*s[10])/18 - 
       (63559*s[11])/132 - (17573*s[12])/33 - (14159*s[13])/44 - 
       (7399*s[14])/132 - (6713*s[15])/12 - (15755*s[16])/22 - 
       (70931*s[17])/132 - (2120*s[18])/27 - (1900*s[19])/27 - 
       (256216*s[20])/297 - (382057*s[21])/1188 + (270263*s[22])/1188 + 
       (5066*s[23])/11 + (288043*s[24])/594 - (6485503*s[25])/10692 + 
       (3632179*s[26])/10692 - s[32] - (3*s[33])/2 + (10*s[37])/3 + 
       31*s[38] - (173*s[39])/2 + (181*s[40])/2 - 71*s[41] + 110*s[42] + 
       (1839*s[43])/22 - (3467*s[44])/44 + (6635*s[45])/66 - 
       (22849*s[46])/33 + (2479*s[47])/132 + (3337*s[48])/132 - 
       (50953*s[49])/132 + (11873*s[50])/22 + (10015*s[51])/132 + 
       (7937*s[52])/132 - (36710*s[53])/99 - (2951*s[54])/66 - 
       (321499*s[55])/132 - (222889*s[56])/396 + (111703*s[57])/297 - 
       (3607781*s[58])/3564 + (3819623*s[59])/3564 + (1576627*s[60])/264 - 
       (4547911*s[61])/16038 + s[64] + s[65] - s[71] + s[75] + 
       (20*s[80])/3) + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 1 - w]*
      ((-21*s[2])/4 + (139*s[3])/8 - (1349*s[4])/16 - (4335*s[5])/44 - 
       (32951*s[6])/176 - (640823*s[7])/352 + (69229*s[8])/528 + 
       (4727*s[9])/3 + (12131*s[10])/24 + (696137*s[11])/352 + 
       (186055*s[12])/88 + (439231*s[13])/352 + (104349*s[14])/352 + 
       (79249*s[15])/32 + (67875*s[16])/22 + (876167*s[17])/352 + 
       (5627*s[18])/18 + (36725*s[19])/144 + (5743325*s[20])/1584 + 
       (4528963*s[21])/3168 - (3064487*s[22])/3168 - (88887*s[23])/44 - 
       (1564175*s[24])/792 + (34812131*s[25])/14256 - 
       (20248295*s[26])/14256 - 3*s[31] + (7*s[32])/2 - (15*s[33])/8 + 
       6*s[34] + (3*s[35])/2 - (7*s[36])/2 - (37*s[37])/4 - (133*s[38])/2 + 
       (1157*s[39])/4 - (1279*s[40])/4 + (505*s[41])/2 - (1721*s[42])/4 - 
       (9983*s[43])/44 + (45959*s[44])/176 - (18077*s[45])/88 + 
       (170497*s[46])/88 - (20479*s[47])/176 + (3677*s[48])/176 + 
       (194229*s[49])/176 - (33897*s[50])/22 - (51787*s[51])/176 - 
       (36697*s[52])/176 + (46785*s[53])/44 - (277*s[54])/11 + 
       (3413873*s[55])/528 + (279907*s[56])/176 - (593077*s[57])/264 + 
       (4863295*s[58])/1584 - (5083525*s[59])/1584 - (16670581*s[60])/1056 + 
       (10703509*s[61])/14256 - 3*s[67] + 8*s[68] - 11*s[69] + 24*s[70] - 
       3*s[72] + 3*s[73] + (9*s[74])/4 - (9*s[75])/4 + 3*s[76] - 
       (61*s[77])/2 - 3*s[78] - 36*s[79] + (15*s[80])/2) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 1 - v]*
      ((69*s[2])/4 - (57*s[3])/8 - (2015*s[4])/16 - (243*s[5])/88 - 
       (14963*s[6])/176 - (396427*s[7])/352 + (749501*s[8])/4752 + 
       (24541*s[9])/27 + (11425*s[10])/54 + (4087961*s[11])/3168 + 
       (609911*s[12])/396 + (2958515*s[13])/3168 - (679891*s[14])/3168 + 
       (398773*s[15])/288 + (1462397*s[16])/792 + (3704783*s[17])/3168 + 
       (45449*s[18])/324 + (300493*s[19])/1296 + (27084613*s[20])/14256 + 
       (14548799*s[21])/28512 - (16771351*s[22])/28512 - 
       (1650811*s[23])/792 - (4213799*s[24])/3564 + (236848093*s[25])/
        128304 - (102580477*s[26])/128304 - (3*s[30])/2 - 16*s[33] - 
       s[34]/2 + (3*s[35])/2 - (3*s[36])/2 - (131*s[37])/12 - 55*s[38] + 
       (1045*s[39])/4 - (1175*s[40])/4 + (447*s[41])/2 - (1565*s[42])/4 - 
       (8777*s[43])/44 + (42755*s[44])/176 - (41083*s[45])/264 + 
       (427687*s[46])/264 - (17859*s[47])/176 + (7089*s[48])/176 + 
       (168769*s[49])/176 - (14041*s[50])/11 - (141917*s[51])/528 - 
       (34461*s[52])/176 + (342427*s[53])/396 - (4607*s[54])/66 + 
       (904423*s[55])/176 + (2017151*s[56])/1584 - (5297461*s[57])/2376 + 
       (37548235*s[58])/14256 - (38700217*s[59])/14256 - 
       (41204491*s[60])/3168 + (76436449*s[61])/128304 + s[65] - 3*s[67] + 
       8*s[68] - 11*s[69] + 24*s[70] - s[71] - 3*s[72] + 3*s[73] + 
       (9*s[74])/4 - (9*s[75])/4 + 3*s[76] - (61*s[77])/2 - 3*s[78] - 
       36*s[79] + (85*s[80])/6) + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1}, 
       1 - w]*(-21*s[2] + (219*s[3])/2 - (1469*s[4])/4 - (5135*s[5])/11 - 
       (36255*s[6])/44 - (2226325*s[7])/264 + (26319*s[8])/44 + 7360*s[9] + 
       (4625*s[10])/2 + (812137*s[11])/88 + (219415*s[12])/22 + 
       (1567901*s[13])/264 + (118365*s[14])/88 + (271171*s[15])/24 + 
       (469486*s[16])/33 + (2956885*s[17])/264 + (13318*s[18])/9 + 
       (42605*s[19])/36 + (6730901*s[20])/396 + (5166515*s[21])/792 - 
       (399231*s[22])/88 - (298883*s[23])/33 - (607345*s[24])/66 + 
       (40702603*s[25])/3564 - (23351359*s[26])/3564 - 12*s[31] + 22*s[32] - 
       (15*s[33])/2 + 24*s[34] + 6*s[35] + 2*s[36] - 41*s[37] - 338*s[38] + 
       1337*s[39] - 1475*s[40] + 1154*s[41] - 1949*s[42] - (11747*s[43])/11 + 
       (53007*s[44])/44 - (22597*s[45])/22 + (201185*s[46])/22 - 
       (69109*s[47])/132 + (3887*s[48])/132 + (678391*s[49])/132 - 
       (79198*s[50])/11 - (174697*s[51])/132 - (131411*s[52])/132 + 
       (161611*s[53])/33 + (808*s[54])/11 + (1336547*s[55])/44 + 
       (1001137*s[56])/132 - (2081051*s[57])/198 + (17397893*s[58])/1188 - 
       (17958503*s[59])/1188 - (59292055*s[60])/792 + 
       (38929367*s[61])/10692 - 12*s[67] + 32*s[68] - 28*s[69] + 64*s[70] - 
       12*s[72] - 4*s[73] + 9*s[74] - 9*s[75] - 4*s[76] - 74*s[77] - 
       12*s[78] - 144*s[79] + 30*s[80]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - v]*(41*s[2] - 78*s[3] - (1349*s[4])/2 - 
       (1022*s[5])/11 - (13087*s[6])/22 - (142957*s[7])/22 + 
       (156191*s[8])/198 + (94273*s[9])/18 + (12349*s[10])/9 + 
       (973871*s[11])/132 + (283606*s[12])/33 + (691277*s[13])/132 - 
       (87691*s[14])/132 + (49447*s[15])/6 + (1426085*s[16])/132 + 
       (963569*s[17])/132 + (25561*s[18])/27 + (67711*s[19])/54 + 
       (6829315*s[20])/594 + (4163507*s[21])/1188 - (4000039*s[22])/1188 - 
       (1408147*s[23])/132 - (8238919*s[24])/1188 + (54527041*s[25])/5346 - 
       (12756317*s[26])/2673 + 8*s[28] - 6*s[30] - 4*s[32] - (67*s[33])/2 + 
       6*s[35] + 8*s[36] - 53*s[37] - 305*s[38] + 1268*s[39] - 1412*s[40] + 
       (2169*s[41])/2 - (3725*s[42])/2 - (10980*s[43])/11 + 
       (51055*s[44])/44 - (9820*s[45])/11 + (91745*s[46])/11 - 
       (65579*s[47])/132 + (11377*s[48])/132 + (629213*s[49])/132 - 
       (143481*s[50])/22 - (55315*s[51])/44 - (127843*s[52])/132 + 
       (290195*s[53])/66 - (1329*s[54])/22 + (1188049*s[55])/44 + 
       (299369*s[56])/44 - (699637*s[57])/66 + (5371673*s[58])/396 - 
       (5503295*s[59])/396 - (53600903*s[60])/792 + (1935859*s[61])/594 + 
       3*s[65] - 12*s[67] + 32*s[68] - 28*s[69] + 64*s[70] - 3*s[71] - 
       12*s[72] - 4*s[73] + 9*s[74] - 9*s[75] - 4*s[76] - 74*s[77] - 
       12*s[78] - 144*s[79] + 50*s[80]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      Qep[v, w, u]*((2048*s[5])/33 - (140*s[6])/33 + (9908*s[7])/99 - 
       (3980*s[8])/297 - (3484*s[9])/27 - (1448*s[10])/27 + (6362*s[11])/99 + 
       (30214*s[12])/99 + (7768*s[13])/99 - (280*s[14])/99 - (4684*s[15])/9 - 
       (19640*s[16])/99 - (22634*s[17])/33 + (7828*s[18])/81 - 
       (12172*s[19])/81 + (40016*s[20])/891 - (6184*s[21])/891 + 
       (24404*s[22])/891 - (13994*s[23])/99 + (90422*s[24])/891 - 
       (47050*s[25])/8019 - (351542*s[26])/8019 - (128*s[38])/3 - 
       (8*s[39])/3 + (8*s[40])/3 - (56*s[41])/3 + (304*s[42])/3 + 
       (56*s[43])/33 + (1732*s[44])/33 - (40*s[45])/33 - (1264*s[46])/11 + 
       (10220*s[47])/99 - (26212*s[48])/99 + (14308*s[49])/99 + 
       (6272*s[50])/33 + (1556*s[51])/33 + (4132*s[52])/99 - 
       (32704*s[53])/99 + (4064*s[54])/33 - (38788*s[55])/33 + 
       (1340*s[56])/11 - (47288*s[57])/99 + (3412*s[58])/33 + 
       (20540*s[59])/99 - (67526*s[60])/297 - (242920*s[61])/2673 - 
       352*s[82]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[v, u, w]*
      (-32*s[3] + (304*s[4])/3 - (424*s[5])/11 + (332*s[6])/11 + 
       (14936*s[7])/33 - (63356*s[8])/297 - (11356*s[9])/27 + 
       (1240*s[10])/27 - (50218*s[11])/99 - (70670*s[12])/99 - 
       (41488*s[13])/99 + (58136*s[14])/99 - (2240*s[15])/9 - 
       (44164*s[16])/99 + (12542*s[17])/99 - (26084*s[18])/81 + 
       (20948*s[19])/81 - (182032*s[20])/891 + (55040*s[21])/891 + 
       (236996*s[22])/891 + (248750*s[23])/99 - (182266*s[24])/891 - 
       (6791230*s[25])/8019 + (1759222*s[26])/8019 - (32*s[38])/3 - 
       (1136*s[39])/3 + (1136*s[40])/3 - 336*s[41] + 776*s[42] + 
       (1872*s[43])/11 - (1860*s[44])/11 - (2000*s[45])/33 - 
       (42112*s[46])/33 + (37340*s[47])/99 - (42916*s[48])/99 - 
       (54116*s[49])/99 + (36224*s[50])/33 + (60172*s[51])/99 + 
       (36364*s[52])/99 - (71176*s[53])/99 + (6256*s[54])/33 - 
       (22356*s[55])/11 - (20452*s[56])/33 + (222664*s[57])/33 - 
       (944044*s[58])/297 + (823756*s[59])/297 + (1658422*s[60])/297 - 
       (1550228*s[61])/2673 - 160*s[82]) + HPL[{1}, 1 - u]^2*Qep[u, w, v]*
      ((128*s[3])/3 + (35536*s[5])/99 + (30974*s[6])/99 + (369872*s[7])/99 - 
       (172210*s[8])/891 - (267698*s[9])/81 - (116368*s[10])/81 - 
       (1041677*s[11])/297 - (892351*s[12])/297 - (459200*s[13])/297 - 
       (471596*s[14])/297 - (178136*s[15])/27 - (2032298*s[16])/297 - 
       (2150453*s[17])/297 - (171466*s[18])/243 - (177638*s[19])/243 - 
       (23119652*s[20])/2673 - (9716900*s[21])/2673 + (5043430*s[22])/2673 + 
       (559531*s[23])/297 + (11339719*s[24])/2673 - (94819085*s[25])/24057 + 
       (69590465*s[26])/24057 + (256*s[37])/9 + (160*s[38])/3 - 
       (1832*s[39])/9 + (1832*s[40])/9 - (692*s[41])/9 + (3044*s[42])/9 + 
       (36424*s[43])/99 - (2158*s[44])/11 + (67816*s[45])/99 - 
       (124000*s[46])/33 + (4766*s[47])/297 + (8462*s[48])/297 - 
       (439910*s[49])/297 + (315904*s[50])/99 + (5626*s[51])/33 + 
       (1726*s[52])/297 - (845452*s[53])/297 - (1344*s[54])/11 - 
       (5411842*s[55])/297 - (343834*s[56])/99 - (612776*s[57])/99 - 
       (2912086*s[58])/891 + (4372450*s[59])/891 + (30100915*s[60])/891 - 
       (13946954*s[61])/8019 - 128*s[82]) + HPL[{1}, 1 - u]^2*Qep[v, u, w]*
      ((128*s[3])/3 + (1888*s[5])/11 + (236*s[6])/11 + (22992*s[7])/11 - 
       (34156*s[8])/297 - (48956*s[9])/27 - (26464*s[10])/27 - 
       (187046*s[11])/99 - (147250*s[12])/99 - (69488*s[13])/99 - 
       (66872*s[14])/99 - (37520*s[15])/9 - (397532*s[16])/99 - 
       (450038*s[17])/99 - (10156*s[18])/81 - (69236*s[19])/81 - 
       (4271288*s[20])/891 - (1577960*s[21])/891 + (923524*s[22])/891 + 
       (21946*s[23])/99 + (2469730*s[24])/891 - (17998886*s[25])/8019 + 
       (11261054*s[26])/8019 + (128*s[37])/3 + (160*s[38])/3 - (80*s[39])/3 + 
       (80*s[40])/3 + (376*s[41])/3 + 40*s[42] + (7760*s[43])/33 - 
       (3308*s[44])/33 + (5360*s[45])/11 - (69472*s[46])/33 - 
       (10852*s[47])/99 + (22940*s[48])/99 - (105164*s[49])/99 + 
       (22480*s[50])/11 + (2132*s[51])/99 - (19556*s[52])/99 - 
       (186664*s[53])/99 - (7072*s[54])/11 - (1195972*s[55])/99 - 
       (50740*s[56])/33 - (750272*s[57])/99 - (59524*s[58])/99 + 
       (73012*s[59])/33 + (6522718*s[60])/297 - (2285428*s[61])/2673 - 
       128*s[82]) + HPL[{1}, 1 - w]^2*Qep[u, w, v]*((-3008*s[4])/9 + 
       (9088*s[5])/99 - (2540*s[6])/33 - (179444*s[7])/99 + 
       (334820*s[8])/891 + (108388*s[9])/81 + (17288*s[10])/81 + 
       (640006*s[11])/297 + (816626*s[12])/297 + (496696*s[13])/297 - 
       (377360*s[14])/297 + (62524*s[15])/27 + (849184*s[16])/297 + 
       (392206*s[17])/297 + (8252*s[18])/243 + (151180*s[19])/243 + 
       (6208552*s[20])/2673 + (887632*s[21])/2673 - (2485796*s[22])/2673 - 
       (1220870*s[23])/297 - (5648102*s[24])/2673 + (82832098*s[25])/24057 - 
       (28776730*s[26])/24057 - (496*s[38])/9 + (1024*s[39])/3 - 
       (1024*s[40])/3 + (2920*s[41])/9 - (4520*s[42])/9 - (19040*s[43])/99 + 
       (25888*s[44])/99 - (8960*s[45])/33 + (241376*s[46])/99 - 
       (43240*s[47])/297 + (68168*s[48])/297 + (326488*s[49])/297 - 
       (63088*s[50])/33 - (22952*s[51])/99 - (64640*s[52])/297 + 
       (418208*s[53])/297 + (3232*s[54])/33 + (841784*s[55])/99 + 
       (196960*s[56])/99 - (1026112*s[57])/297 + (3709768*s[58])/891 - 
       (3926320*s[59])/891 - (16271648*s[60])/891 + (945140*s[61])/891 - 
       128*s[82]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - w]*
      (-8*s[2] + (137*s[4])/2 - (2349*s[5])/11 - (5441*s[6])/22 - 
       (28737*s[7])/22 + (403*s[8])/66 + (3709*s[9])/3 + (1448*s[10])/3 + 
       (53191*s[11])/44 + (10497*s[12])/11 + (19495*s[13])/44 + 
       (52567*s[14])/44 + (6584*s[15])/3 + (107061*s[16])/44 + 
       (117223*s[17])/44 + (8947*s[18])/18 - (1160*s[19])/9 + 
       (732923*s[20])/198 + (719155*s[21])/396 - (269513*s[22])/396 - 
       (17713*s[23])/44 - (516293*s[24])/396 + (916468*s[25])/891 - 
       (2152769*s[26])/1782 + 4*s[37] + 5*s[38] + 32*s[39] - 32*s[40] + 
       (61*s[41])/2 - (79*s[42])/2 - (1667*s[43])/22 + (1235*s[44])/22 - 
       (2619*s[45])/11 + (13323*s[46])/11 - (57*s[47])/22 - (45*s[48])/11 + 
       (1741*s[49])/11 - (9169*s[50])/11 - (2213*s[51])/66 - (553*s[52])/22 + 
       (17591*s[53])/22 - (4514*s[54])/11 + (369977*s[55])/66 + 
       (17519*s[56])/11 + (59771*s[57])/33 + (122189*s[58])/99 - 
       (275725*s[59])/198 - (1314941*s[60])/132 + (626075*s[61])/891 - 
       87*s[82]) + HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - u]*
      (18*s[3] - 45*s[4] - (1997*s[5])/11 - (2979*s[6])/11 - 
       (411203*s[7])/198 + (38339*s[8])/297 + (48217*s[9])/27 + 
       (16898*s[10])/27 + (205477*s[11])/99 + (198698*s[12])/99 + 
       (11878*s[13])/11 + (80983*s[14])/99 + (6531*s[15])/2 + 
       (245297*s[16])/66 + (345050*s[17])/99 + (38585*s[18])/81 + 
       (16240*s[19])/81 + (4180381*s[20])/891 + (1736962*s[21])/891 - 
       (948881*s[22])/891 - (39607*s[23])/22 - (4059883*s[24])/1782 + 
       (38835521*s[25])/16038 - (27235961*s[26])/16038 + (52*s[36])/3 + 
       (50*s[37])/3 - 24*s[38] + 162*s[39] - (538*s[40])/3 + 150*s[41] - 
       (791*s[42])/3 - (5300*s[43])/33 + (6434*s[44])/33 - (11014*s[45])/33 + 
       (23498*s[46])/11 - (7753*s[47])/99 + (7229*s[48])/99 + 
       (65950*s[49])/99 - (54710*s[50])/33 - (12620*s[51])/99 - 
       (12812*s[52])/99 + (44839*s[53])/33 - (4162*s[54])/11 + 
       (300109*s[55])/33 + (231668*s[56])/99 + (291880*s[57])/297 + 
       (2339698*s[58])/891 - (2681581*s[59])/891 - (5327591*s[60])/297 + 
       (8776132*s[61])/8019 - 32*s[79] + (28*s[80])/3 - 87*s[82]) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 1}, 1 - v]*((-7*s[2])/6 - 
       (151*s[4])/12 - (193*s[5])/11 - (12635*s[6])/264 - (143827*s[7])/396 + 
       (48377*s[8])/2376 + (66385*s[9])/216 + (13423*s[10])/108 + 
       (611057*s[11])/1584 + (611119*s[12])/1584 + (93439*s[13])/396 + 
       (17041*s[14])/198 + (20389*s[15])/36 + (514907*s[16])/792 + 
       (302639*s[17])/528 + (21791*s[18])/648 + (66415*s[19])/648 + 
       (2704103*s[20])/3564 + (1001435*s[21])/3564 - (1342751*s[22])/7128 - 
       (245375*s[23])/1584 - (6909883*s[24])/14256 + 
       (62275271*s[25])/128304 - (36268943*s[26])/128304 + (5*s[37])/6 - 
       (5*s[38])/2 + (203*s[39])/12 - (203*s[40])/12 + (73*s[41])/4 - 
       (103*s[42])/6 - (4931*s[43])/132 + (8869*s[44])/264 - 
       (2897*s[45])/44 + (27875*s[46])/66 + (17605*s[47])/792 - 
       (36119*s[48])/792 + (144701*s[49])/792 - (21431*s[50])/66 + 
       (4343*s[51])/792 - (1087*s[52])/792 + (102809*s[53])/396 - 
       (211*s[54])/66 + (1366907*s[55])/792 + (104855*s[56])/264 + 
       (90017*s[57])/198 + (340315*s[58])/792 - (134635*s[59])/264 - 
       (17840903*s[60])/4752 + (1054399*s[61])/5346 - 53*s[82]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1}, 1 - u]*(11*s[2] + 42*s[3] + 
       135*s[4] + (983*s[5])/22 - (247*s[6])/22 + (56107*s[7])/44 - 
       (18049*s[8])/99 - (18481*s[9])/18 - (5909*s[10])/18 - 
       (162509*s[11])/132 - (85223*s[12])/66 - (94229*s[13])/132 + 
       (32881*s[14])/132 - (23593*s[15])/12 - (142603*s[16])/66 - 
       (260465*s[17])/132 - (2165*s[18])/54 - (13127*s[19])/27 - 
       (1232653*s[20])/594 - (505073*s[21])/1188 + (736771*s[22])/1188 + 
       (43657*s[23])/33 + (439837*s[24])/297 - (20144939*s[25])/10692 + 
       (7756007*s[26])/10692 + 4*s[32] + 46*s[37] + 4*s[38] - 157*s[39] + 
       149*s[40] - 154*s[41] + 214*s[42] + (661*s[43])/11 - (1959*s[44])/22 + 
       (3183*s[45])/11 - (15188*s[46])/11 + (11563*s[47])/66 - 
       (20183*s[48])/66 - (27253*s[49])/66 + (15281*s[50])/11 + 
       (3981*s[51])/22 + (6185*s[52])/66 - (35608*s[53])/33 - 
       (853*s[54])/11 - (422489*s[55])/66 - (21429*s[56])/22 - 
       (48959*s[57])/66 - (299527*s[58])/198 + (360829*s[59])/198 + 
       (4534069*s[60])/396 - (400291*s[61])/594 - 48*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*
      (-5*s[2] - (19*s[3])/2 - 427*s[4] - (8771*s[5])/44 - (6838*s[6])/11 - 
       (1457851*s[7])/264 + (356053*s[8])/594 + (123922*s[9])/27 + 
       (57661*s[10])/54 + (5012135*s[11])/792 + (5843863*s[12])/792 + 
       (1809169*s[13])/396 - (19477*s[14])/198 + (472369*s[15])/72 + 
       (7050257*s[16])/792 + (4626467*s[17])/792 + (84149*s[18])/81 + 
       (105449*s[19])/162 + (35802229*s[20])/3564 + (6242495*s[21])/1782 - 
       (5181733*s[22])/1782 - (849725*s[23])/99 - (5041754*s[24])/891 + 
       (269596807*s[25])/32076 - (68732135*s[26])/16038 + 5*s[29] - 3*s[30] - 
       4*s[31] + (27*s[33])/4 + 9*s[34] + 4*s[35] + (57*s[36])/2 - 62*s[37] - 
       302*s[38] + (9197*s[39])/8 - (9833*s[40])/8 + (7297*s[41])/8 - 
       (13285*s[42])/8 - (81523*s[43])/88 + (170447*s[44])/176 - 
       (19131*s[45])/22 + (665417*s[46])/88 - (91613*s[47])/176 + 
       (15505*s[48])/176 + (729095*s[49])/176 - (122409*s[50])/22 - 
       (582389*s[51])/528 - (168995*s[52])/176 + (1004731*s[53])/264 - 
       (4316*s[54])/11 + (4162903*s[55])/176 + (3475951*s[56])/528 - 
       (4227721*s[57])/396 + (61043393*s[58])/4752 - (60797207*s[59])/4752 - 
       (63392425*s[60])/1056 + (134080943*s[61])/42768 + 2*s[64] + 2*s[65] + 
       2*s[66] - 6*s[67] - 8*s[68] - 2*s[69] - s[70] - 2*s[71] - 6*s[72] + 
       6*s[73] + (7*s[74])/2 - (7*s[75])/2 + 14*s[76] + s[77] - 3*s[78] - 
       40*s[79] + 8*s[80] - 48*s[82]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - w]*((59*s[3])/2 + (445*s[4])/4 + 
       (983*s[5])/22 + (617*s[6])/44 + (891071*s[7])/792 - 
       (128687*s[8])/1188 - (24070*s[9])/27 - (9698*s[10])/27 - 
       (923123*s[11])/792 - (227377*s[12])/198 - (68125*s[13])/88 + 
       (198397*s[14])/792 - (41179*s[15])/24 - (239677*s[16])/132 - 
       (1255285*s[17])/792 - (8840*s[18])/81 - (133099*s[19])/324 - 
       (6138541*s[20])/3564 - (3574685*s[21])/7128 + (3907861*s[22])/7128 + 
       (65055*s[23])/44 + (4363427*s[24])/3564 - (54250045*s[25])/32076 + 
       (22750207*s[26])/32076 + 8*s[30] - 10*s[35] + (5*s[36])/3 + 
       (215*s[37])/6 + 22*s[38] - (525*s[39])/4 + (1699*s[40])/12 - 
       (457*s[41])/4 + (2051*s[42])/12 + (11441*s[43])/132 - 
       (26995*s[44])/264 + (35017*s[45])/132 - (29309*s[46])/22 + 
       (63197*s[47])/792 - (124177*s[48])/792 - (341303*s[49])/792 + 
       (37934*s[50])/33 + (147199*s[51])/792 + (62857*s[52])/792 - 
       (57587*s[53])/66 - (523*s[54])/11 - (1405925*s[55])/264 - 
       (771433*s[56])/792 - (27581*s[57])/594 - (12446117*s[58])/7128 + 
       (13362029*s[59])/7128 + (48364823*s[60])/4752 - 
       (10432889*s[61])/16038 - 5*s[62] - 12*s[76] + 8*s[79] + (29*s[80])/3 - 
       48*s[82]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((35*s[3])/2 + 38*s[4] - (109*s[5])/88 - (5611*s[6])/264 + 
       (22585*s[7])/1584 - (45313*s[8])/1188 + (695*s[9])/216 + 
       (13183*s[10])/216 - (47585*s[11])/1584 - (57617*s[12])/792 - 
       (57073*s[13])/1584 + (346705*s[14])/1584 - (605*s[15])/16 + 
       (4717*s[16])/792 + (15063*s[17])/176 - (544*s[18])/81 - 
       (385*s[19])/162 + (133222*s[20])/891 + (1291603*s[21])/14256 - 
       (49097*s[22])/14256 + (497527*s[23])/792 - (121981*s[24])/1782 - 
       (14885891*s[25])/128304 - (1871101*s[26])/128304 + (7*s[32])/4 + 
       (47*s[37])/6 + (25*s[38])/6 - (599*s[39])/12 + (647*s[40])/12 - 
       (241*s[41])/6 + 90*s[42] - (113*s[43])/44 - (1339*s[44])/88 - 
       (397*s[45])/44 - (1324*s[46])/33 + (55367*s[47])/792 - 
       (101383*s[48])/792 - (9329*s[49])/792 + (2865*s[50])/44 + 
       (16729*s[51])/264 + (27583*s[52])/792 - (5825*s[53])/99 - 
       (2311*s[54])/132 - (106009*s[55])/792 + (8171*s[56])/264 + 
       (231511*s[57])/264 - (657475*s[58])/2376 + (754141*s[59])/2376 - 
       (1554331*s[60])/4752 - (115451*s[61])/21384 - 43*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - v]*
      ((49*s[3])/8 + (201*s[4])/16 + (709*s[5])/88 + (18283*s[6])/528 - 
       (145609*s[7])/3168 + (21425*s[8])/4752 + (2009*s[9])/54 + 
       (1790*s[10])/27 + (65801*s[11])/3168 - (9455*s[12])/792 - 
       (154457*s[13])/3168 + (219377*s[14])/3168 + (15517*s[15])/96 + 
       (198299*s[16])/1584 + (211045*s[17])/1056 - (14671*s[18])/324 + 
       (118117*s[19])/1296 + (2861851*s[20])/14256 + (682655*s[21])/28512 - 
       (616579*s[22])/28512 + (618269*s[23])/1584 - (2596421*s[24])/14256 + 
       (1218073*s[25])/128304 - (240223*s[26])/128304 + (3*s[30])/2 - 
       (3*s[36])/4 - (47*s[37])/6 + (155*s[38])/12 - (3077*s[39])/48 + 
       (3209*s[40])/48 - (2219*s[41])/48 + (1405*s[42])/16 + 
       (4649*s[43])/176 - (11755*s[44])/352 + (3199*s[45])/264 - 
       (32077*s[46])/176 + (83675*s[47])/3168 - (91687*s[48])/3168 - 
       (456857*s[49])/3168 + (1061*s[50])/11 + (11037*s[51])/352 + 
       (174523*s[52])/3168 - (23591*s[53])/528 - (3387*s[54])/88 - 
       (543553*s[55])/3168 - (446443*s[56])/3168 + (3249679*s[57])/2376 - 
       (17036765*s[58])/28512 + (15929783*s[59])/28512 + 
       (17016251*s[60])/19008 - (18397733*s[61])/256608 - (5*s[71])/4 - 
       s[76] + (22*s[80])/3 - 43*s[82]) + HPL[{0, 1, 1}, 1 - v]*
      Omega2[w, u, v]*(4*s[3] - (355*s[5])/11 - (1241*s[6])/22 - 
       (46237*s[7])/132 + (3899*s[8])/198 + (5563*s[9])/18 + (1111*s[10])/9 + 
       (24397*s[11])/66 + (23879*s[12])/66 + (6652*s[13])/33 + 
       (11587*s[14])/66 + (1957*s[15])/4 + (83971*s[16])/132 + 
       (6308*s[17])/11 + (5483*s[18])/54 + (335*s[19])/27 + 
       (483973*s[20])/594 + (209809*s[21])/594 - (55141*s[22])/297 - 
       (41645*s[23])/132 - (442663*s[24])/1188 + (1075832*s[25])/2673 - 
       (1542067*s[26])/5346 - 7*s[38] + 44*s[39] - 44*s[40] + 44*s[41] - 
       78*s[42] - (502*s[43])/11 + (2203*s[44])/44 - (259*s[45])/11 + 
       (3928*s[46])/11 - (2173*s[47])/132 - (4417*s[48])/132 + 
       (27133*s[49])/132 - (2995*s[50])/11 - (8483*s[51])/132 - 
       (2891*s[52])/132 + (12433*s[53])/66 - (200*s[54])/11 + 
       (144103*s[55])/132 + (14435*s[56])/44 - (8449*s[57])/22 + 
       (214469*s[58])/396 - (212717*s[59])/396 - (2320651*s[60])/792 + 
       (550933*s[61])/3564 - 42*s[82]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1}, 1 - w]*(90*s[4] - (1344*s[5])/11 + (701*s[6])/11 - 
       (12856*s[7])/33 - (4567*s[8])/99 + (3985*s[9])/9 + (2900*s[10])/9 + 
       (11663*s[11])/66 - (8387*s[12])/66 - (3429*s[13])/11 + 
       (20806*s[14])/33 + (3559*s[15])/3 + (9590*s[16])/11 + 
       (93949*s[17])/66 + (5120*s[18])/27 + (1150*s[19])/27 + 
       (488116*s[20])/297 + (238735*s[21])/297 - (58427*s[22])/297 + 
       (11533*s[23])/22 - (246217*s[24])/594 - (632065*s[25])/5346 - 
       (1569857*s[26])/5346 + 8*s[37] + 31*s[38] - 99*s[39] + 107*s[40] - 
       90*s[41] + 166*s[42] + (813*s[43])/11 - (901*s[44])/22 - 
       (1566*s[45])/11 + (2692*s[46])/11 + (1081*s[47])/22 + 
       (2335*s[48])/22 - (5421*s[49])/22 - (3984*s[50])/11 + 
       (6823*s[51])/66 + (2441*s[52])/22 + (4426*s[53])/11 + (270*s[54])/11 + 
       (195383*s[55])/66 + (4709*s[56])/22 + (119129*s[57])/33 - 
       (118055*s[58])/198 + (46127*s[59])/198 - (133479*s[60])/44 + 
       (366787*s[61])/1782 - 42*s[82]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1}, 1 - u]*((-1464*s[5])/11 - (810*s[6])/11 - 
       (27081*s[7])/22 + (1789*s[8])/33 + (3248*s[9])/3 + (1504*s[10])/3 + 
       (24283*s[11])/22 + (19031*s[12])/22 + (4099*s[13])/11 + 
       (6302*s[14])/11 + (4895*s[15])/2 + (51995*s[16])/22 + 
       (58439*s[17])/22 + (1501*s[18])/9 + (3011*s[19])/9 + 
       (297191*s[20])/99 + (119057*s[21])/99 - (60556*s[22])/99 - 
       (4572*s[23])/11 - (154312*s[24])/99 + (2170939*s[25])/1782 - 
       (1614883*s[26])/1782 + 16*s[37] - (798*s[43])/11 + (828*s[44])/11 - 
       (2928*s[45])/11 + (13842*s[46])/11 + (603*s[47])/11 + (603*s[48])/11 + 
       (3625*s[49])/11 - (12222*s[50])/11 + (817*s[51])/11 + (514*s[52])/11 + 
       (11563*s[53])/11 + (190*s[54])/11 + (77683*s[55])/11 + 
       (12895*s[56])/11 + (119608*s[57])/33 + (64231*s[58])/99 - 
       (134683*s[59])/99 - (255633*s[60])/22 + (560899*s[61])/891 - 
       42*s[82]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - v]*
      (4*s[3] + (799*s[5])/11 + (2375*s[6])/22 + (9554*s[7])/33 - 
       (117*s[8])/22 - (583*s[9])/2 - (53*s[10])/2 - (12327*s[11])/44 - 
       (3331*s[12])/11 - (27703*s[13])/132 - (7375*s[14])/44 - 294*s[15] - 
       (58051*s[16])/132 - (43865*s[17])/132 - (4403*s[18])/18 + 
       (1963*s[19])/9 - (124675*s[20])/198 - (176827*s[21])/396 + 
       (20825*s[22])/132 + (128969*s[23])/132 - (793*s[24])/44 - 
       (456221*s[25])/1782 + (289882*s[26])/891 - 52*s[37] - 13*s[38] - 
       105*s[39] + (219*s[40])/2 - (201*s[41])/2 + (417*s[42])/2 + 
       (315*s[43])/22 - (428*s[44])/11 - (709*s[45])/22 - (3075*s[46])/11 + 
       (2869*s[47])/33 - (9211*s[48])/66 - (6203*s[49])/66 + 
       (1283*s[50])/11 + (2500*s[51])/33 + (4265*s[52])/33 - 
       (4495*s[53])/66 + (1178*s[54])/11 - (414*s[55])/11 - (8391*s[56])/22 + 
       (100043*s[57])/33 - (77981*s[58])/66 + (34028*s[59])/33 + 
       (14195*s[60])/99 - (175403*s[61])/891 - 39*s[82]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - v]*
      (-4*s[3] + (1063*s[5])/11 + (2375*s[6])/22 + (9587*s[7])/33 - 
       (307*s[8])/66 - (1745*s[9])/6 - (163*s[10])/6 - (13295*s[11])/44 - 
       (2517*s[12])/11 - (16351*s[13])/132 - (8519*s[14])/44 - 445*s[15] - 
       (68479*s[16])/132 - (67625*s[17])/132 - (1489*s[18])/6 + 221*s[19] - 
       (45137*s[20])/66 - (196979*s[21])/396 + (64763*s[22])/396 + 
       (163685*s[23])/132 - (7093*s[24])/396 - (425839*s[25])/1782 + 
       (279047*s[26])/891 + 12*s[37] - 13*s[38] - 105*s[39] + (219*s[40])/2 - 
       (201*s[41])/2 + (417*s[42])/2 + (315*s[43])/22 + s[44]/11 - 
       (709*s[45])/22 - (3075*s[46])/11 + (2902*s[47])/33 - (9145*s[48])/66 - 
       (5477*s[49])/66 + (1283*s[50])/11 + (2863*s[51])/33 + 
       (3440*s[52])/33 - (7795*s[53])/66 + (1442*s[54])/11 - 
       (1811*s[55])/11 - (8193*s[56])/22 + (99647*s[57])/33 - 
       (76243*s[58])/66 + (11097*s[59])/11 + (20305*s[60])/198 - 
       (172301*s[61])/891 - 39*s[82]) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1}, 1 - w]*(92*s[2] + 203*s[4] + (3550*s[5])/11 + 
       (5699*s[6])/11 + (140524*s[7])/33 - (29725*s[8])/99 - (32444*s[9])/9 - 
       (8920*s[10])/9 - (295417*s[11])/66 - (158566*s[12])/33 - 
       (171419*s[13])/66 - (62377*s[14])/66 - (17618*s[15])/3 - 
       (467243*s[16])/66 - (123685*s[17])/22 - (32902*s[18])/27 - 
       (2309*s[19])/27 - (2764055*s[20])/297 - (2311171*s[21])/594 + 
       (1299203*s[22])/594 + (404905*s[23])/66 + (2362673*s[24])/594 - 
       (14120723*s[25])/2673 + (9349247*s[26])/2673 + 28*s[37] + 119*s[38] - 
       547*s[39] + 579*s[40] - 469*s[41] + 825*s[42] + (4580*s[43])/11 - 
       (7275*s[44])/22 + (7826*s[45])/11 - (51050*s[46])/11 + 
       (16673*s[47])/66 - (12103*s[48])/66 - (99167*s[49])/66 + 
       (34438*s[50])/11 + (35309*s[51])/66 + (37621*s[52])/66 - 
       (78995*s[53])/33 + (12230*s[54])/11 - (1037359*s[55])/66 - 
       (111159*s[56])/22 + (52695*s[57])/11 - (1542595*s[58])/198 + 
       (1502749*s[59])/198 + (13527287*s[60])/396 - (4328765*s[61])/1782 - 
       36*s[82]) + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 1 - u]*
      (-3*s[2] + 2*s[3] + 78*s[4] + (251*s[5])/22 - (1711*s[6])/44 + 
       (29141*s[7])/44 - (11005*s[8])/132 - (6557*s[9])/12 - (646*s[10])/3 - 
       (57517*s[11])/88 - (58813*s[12])/88 - (16241*s[13])/44 + 
       (5749*s[14])/44 - (4291*s[15])/4 - (50241*s[16])/44 - 
       (93373*s[17])/88 + (851*s[18])/36 - (12131*s[19])/36 - 
       (218419*s[20])/198 - (79415*s[21])/396 + (66449*s[22])/198 + 
       (28621*s[23])/88 + (725165*s[24])/792 - (6921295*s[25])/7128 + 
       (2433715*s[26])/7128 - 2*s[37] + (27*s[38])/2 - 68*s[39] + 64*s[40] - 
       87*s[41] + 80*s[42] + (1121*s[43])/22 - (885*s[44])/22 + 
       (1571*s[45])/11 - (8015*s[46])/11 + (1393*s[47])/22 - 
       (1201*s[48])/11 - (3624*s[49])/11 + (8733*s[50])/11 + 
       (6211*s[51])/66 + (489*s[52])/22 - (12613*s[53])/22 - 
       (2021*s[54])/11 - (226583*s[55])/66 - (6891*s[56])/22 - 
       (38539*s[57])/33 - (53095*s[58])/99 + (153881*s[59])/198 + 
       (152643*s[60])/22 - (241045*s[61])/891 - 36*s[82]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - v]*
      (3*s[3] + 38*s[4] + (175*s[5])/88 + (4551*s[6])/176 + 
       (43715*s[7])/176 - (64451*s[8])/1584 - (25759*s[9])/144 - 
       (281*s[10])/36 - (274667*s[11])/1056 - (336649*s[12])/1056 - 
       (48269*s[13])/264 + (1409*s[14])/33 - (15739*s[15])/48 - 
       (96209*s[16])/264 - (240011*s[17])/1056 - (22085*s[18])/432 - 
       (5587*s[19])/432 - (964589*s[20])/2376 - (370061*s[21])/2376 + 
       (555197*s[22])/4752 + (624595*s[23])/1056 + (1912291*s[24])/9504 - 
       (31945787*s[25])/85536 + (17921087*s[26])/85536 + (11*s[38])/2 - 
       (21*s[39])/8 + (21*s[40])/8 - (85*s[41])/4 - (11*s[42])/2 - 
       (115*s[43])/8 + (163*s[44])/16 + (357*s[45])/8 - (715*s[46])/4 + 
       (437*s[47])/48 - (2617*s[48])/48 + (2641*s[49])/48 + 108*s[50] - 
       (207*s[51])/16 + (1267*s[52])/48 - (635*s[53])/6 + 120*s[54] - 
       (14757*s[55])/16 - (5685*s[56])/16 + (1157*s[57])/12 - 
       (53027*s[58])/144 + (52421*s[59])/144 + (345125*s[60])/288 - 
       (62209*s[61])/432 - 36*s[82]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1, 1}, 1 - u]*(-66*s[3] + 269*s[4] + (1966*s[5])/11 + 
       (5666*s[6])/11 + (46823*s[7])/11 - (119249*s[8])/297 - 
       (95215*s[9])/27 - (26042*s[10])/27 - (908999*s[11])/198 - 
       (503726*s[12])/99 - (601883*s[13])/198 - (103685*s[14])/198 - 
       (51239*s[15])/9 - (1385273*s[16])/198 - (1063643*s[17])/198 - 
       (59252*s[18])/81 - (43741*s[19])/81 - (7385809*s[20])/891 - 
       (5075723*s[21])/1782 + (3926605*s[22])/1782 + (1007629*s[23])/198 + 
       (8203969*s[24])/1782 - (48290344*s[25])/8019 + (25817227*s[26])/8019 - 
       60*s[36] + (10*s[37])/3 + 152*s[38] - 611*s[39] + 703*s[40] - 
       535*s[41] + 921*s[42] + (6131*s[43])/11 - (9541*s[44])/22 + 
       (18187*s[45])/33 - (153172*s[46])/33 + (15331*s[47])/66 + 
       (1405*s[48])/66 - (140857*s[49])/66 + (38288*s[50])/11 + 
       (14087*s[51])/22 + (42263*s[52])/66 - (247325*s[53])/99 + 
       (35018*s[54])/33 - (1032937*s[55])/66 - (883325*s[56])/198 + 
       (1139152*s[57])/297 - (12619213*s[58])/1782 + (12976369*s[59])/1782 + 
       (14933549*s[60])/396 - (16849964*s[61])/8019 + 160*s[79] - 
       (124*s[80])/3 - 36*s[82]) + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 1}, 
       1 - w]*((-7*s[3])/2 + (263*s[4])/4 + (625*s[5])/22 - (40*s[6])/11 + 
       (197473*s[7])/264 - (19550*s[8])/297 - (66037*s[9])/108 - 
       (7217*s[10])/27 - (155387*s[11])/198 - (608077*s[12])/792 - 
       (408047*s[13])/792 + (114295*s[14])/792 - (86773*s[15])/72 - 
       (504463*s[16])/396 - (447673*s[17])/396 + (6871*s[18])/324 - 
       (29707*s[19])/81 - (4362511*s[20])/3564 - (2304047*s[21])/7128 + 
       (2714233*s[22])/7128 + (348625*s[23])/792 + (7343785*s[24])/7128 - 
       (73125797*s[25])/64152 + (29739461*s[26])/64152 + 2*s[35] - 11*s[36] + 
       (13*s[37])/3 + 25*s[38] - (307*s[39])/4 + (319*s[40])/4 - 
       (297*s[41])/4 + (351*s[42])/4 + (4189*s[43])/44 - (5949*s[44])/88 + 
       (22207*s[45])/132 - (58331*s[46])/66 + (2867*s[47])/264 - 
       (10795*s[48])/264 - (116489*s[49])/264 + (8964*s[50])/11 + 
       (8175*s[51])/88 + (7111*s[52])/264 - (121591*s[53])/198 - 
       (5821*s[54])/33 - (335239*s[55])/88 - (393881*s[56])/792 - 
       (281819*s[57])/297 - (6094813*s[58])/7128 + (8026717*s[59])/7128 + 
       (1396121*s[60])/176 - (10822829*s[61])/32076 + s[62] + 3*s[76] - 
       8*s[79] + (26*s[80])/3 - 36*s[82]) + HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 1, 1}, 1 - w]*((5*s[2])/6 - (5*s[4])/4 + (1877*s[5])/132 + 
       (439*s[6])/264 + (50887*s[7])/792 - (27145*s[8])/2376 - 
       (13757*s[9])/216 - (163*s[10])/54 - (99109*s[11])/1584 - 
       (102551*s[12])/1584 - (9629*s[13])/396 - (2170*s[14])/99 - 
       (7025*s[15])/72 - (10442*s[16])/99 - (17365*s[17])/176 - 
       (22051*s[18])/648 + (15505*s[19])/648 - (135244*s[20])/891 - 
       (69871*s[21])/891 + (236509*s[22])/7128 + (326221*s[23])/1584 + 
       (452645*s[24])/14256 - (8009989*s[25])/128304 + 
       (7174969*s[26])/128304 + (7*s[37])/6 + (19*s[38])/3 - (277*s[39])/12 + 
       (301*s[40])/12 - (89*s[41])/6 + 38*s[42] + (1307*s[43])/132 - 
       (1147*s[44])/88 + (487*s[45])/132 - (3787*s[46])/66 + 
       (24889*s[47])/792 - (28241*s[48])/792 - (17335*s[49])/792 + 
       (2473*s[50])/66 + (29035*s[51])/792 + (14591*s[52])/792 - 
       (6599*s[53])/198 + (1843*s[54])/66 - (142195*s[55])/792 - 
       (19765*s[56])/264 + (133219*s[57])/396 - (135797*s[58])/792 + 
       (16055*s[59])/88 + (1176745*s[60])/4752 - (530513*s[61])/21384 - 
       30*s[82]) + HPL[{1}, 1 - u]^3*HPL[{0, 0, 1, 1}, 1 - u]*
      ((-5*s[3])/4 + (335*s[4])/24 + (1217*s[5])/132 + (1483*s[6])/44 + 
       (309223*s[7])/1584 - (14908*s[8])/891 - (107683*s[9])/648 - 
       (2905*s[10])/81 - (126787*s[11])/594 - (1093801*s[12])/4752 - 
       (723287*s[13])/4752 - (111629*s[14])/4752 - (108883*s[15])/432 - 
       (91496*s[16])/297 - (565027*s[17])/2376 - (73523*s[18])/1944 - 
       (13691*s[19])/972 - (7707445*s[20])/21384 - (6179147*s[21])/42768 + 
       (4314265*s[22])/42768 + (1259779*s[23])/4752 + (8035771*s[24])/42768 - 
       (106214069*s[25])/384912 + (62642621*s[26])/384912 - (5*s[36])/6 - 
       (55*s[37])/36 + (58*s[38])/3 - (1139*s[39])/24 + (413*s[40])/8 - 
       (985*s[41])/24 + (491*s[42])/8 + (13997*s[43])/264 - 
       (6983*s[44])/176 + (46249*s[45])/792 - (38405*s[46])/99 + 
       (24815*s[47])/1584 + (16961*s[48])/1584 - (324497*s[49])/1584 + 
       (9838*s[50])/33 + (81869*s[51])/1584 + (62275*s[52])/1584 - 
       (256357*s[53])/1188 + (85*s[54])/99 - (739583*s[55])/528 - 
       (1539473*s[56])/4752 + (654539*s[57])/3564 - (24016693*s[58])/42768 + 
       (25932397*s[59])/42768 + (10662287*s[60])/3168 - 
       (7162649*s[61])/48114 - s[71] + (20*s[79])/3 + (77*s[80])/18 - 
       30*s[82]) + HPL[{1}, 1 - u]^3*HPL[{0, 0, 1, 1}, 1 - w]*
      ((81*s[3])/4 - (67*s[4])/24 + (4693*s[5])/44 + (5433*s[6])/88 + 
       (1918505*s[7])/1584 - (474953*s[8])/7128 - (348605*s[9])/324 - 
       (160075*s[10])/324 - (5443385*s[11])/4752 - (1188397*s[12])/1188 - 
       (2420243*s[13])/4752 - (2301005*s[14])/4752 - (920317*s[15])/432 - 
       (2646851*s[16])/1188 - (11074751*s[17])/4752 - (50443*s[18])/243 - 
       (550669*s[19])/1944 - (60363979*s[20])/21384 - 
       (49553063*s[21])/42768 + (26400679*s[22])/42768 + 
       (615541*s[23])/1188 + (15129001*s[24])/10692 - 
       (247786651*s[25])/192456 + (175931911*s[26])/192456 + s[36]/6 + 
       (341*s[37])/36 + (70*s[38])/3 - (575*s[39])/8 + (1705*s[40])/24 - 
       (599*s[41])/24 + (2443*s[42])/24 + (12349*s[43])/88 - 
       (15539*s[44])/176 + (168673*s[45])/792 - (481073*s[46])/396 - 
       (3937*s[47])/176 + (11221*s[48])/176 - (323123*s[49])/528 + 
       (34988*s[50])/33 + (29417*s[51])/1584 - (17887*s[52])/528 - 
       (548693*s[53])/594 - (16517*s[54])/99 - (1032873*s[55])/176 - 
       (4757117*s[56])/4752 - (7484773*s[57])/3564 - (43117321*s[58])/42768 + 
       (68590525*s[59])/42768 + (108222685*s[60])/9504 - 
       (12477442*s[61])/24057 - (4*s[79])/3 + (5*s[80])/18 - 29*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - v]*
      ((8*s[3])/3 - (5*s[4])/3 + (2033*s[5])/33 - (2041*s[6])/66 - 
       (9973*s[7])/11 + (12007*s[8])/198 + (12569*s[9])/18 + (3242*s[10])/9 + 
       (128449*s[11])/132 + (147085*s[12])/132 + (11387*s[13])/22 + 
       (27881*s[14])/66 + (10309*s[15])/9 + (49850*s[16])/33 + 
       (156481*s[17])/132 + (6409*s[18])/54 + (13151*s[19])/54 + 
       (656059*s[20])/297 + (424187*s[21])/594 - (130946*s[22])/297 + 
       (33505*s[23])/132 - (1489751*s[24])/1188 + (12236107*s[25])/10692 - 
       (7907935*s[26])/10692 - (20*s[37])/3 - (211*s[38])/3 - (40*s[39])/3 + 
       19*s[40] - 3*s[41] + (304*s[42])/3 - (6139*s[43])/33 + 
       (7745*s[44])/66 - (6296*s[45])/33 + (9910*s[46])/11 + 
       (9221*s[47])/66 - (8865*s[48])/22 + (36335*s[49])/66 - 
       (23278*s[50])/33 - (1363*s[51])/66 + (821*s[52])/22 + 
       (16108*s[53])/33 - (1978*s[54])/11 + (806983*s[55])/198 + 
       (62459*s[56])/66 + (372943*s[57])/99 + (152831*s[58])/594 - 
       (264953*s[59])/594 - (4201663*s[60])/396 + (1771289*s[61])/5346 - 
       24*s[82]) + HPL[{1}, 1 - v]^2*Qep[w, v, u]*((-368*s[5])/11 + 
       (5680*s[6])/99 + (233812*s[7])/297 - (43000*s[8])/891 - 
       (51848*s[9])/81 - (23320*s[10])/81 - (250736*s[11])/297 - 
       (287104*s[12])/297 - (140680*s[13])/297 - (118616*s[14])/297 - 
       956*s[15] - (380812*s[16])/297 - (32744*s[17])/33 - 
       (34720*s[18])/243 - (35240*s[19])/243 - (5145392*s[20])/2673 - 
       (1798136*s[21])/2673 + (1057504*s[22])/2673 - (27532*s[23])/297 + 
       (2712412*s[24])/2673 - (23255588*s[25])/24057 + 
       (16168484*s[26])/24057 + (128*s[37])/9 + (512*s[38])/9 - 
       (32*s[39])/9 + (32*s[40])/9 - (224*s[41])/9 - (128*s[42])/3 + 
       (5344*s[43])/33 - (3244*s[44])/33 + (4832*s[45])/33 - 
       (77920*s[46])/99 - (25460*s[47])/297 + (89116*s[48])/297 - 
       (138604*s[49])/297 + (19136*s[50])/33 + (5404*s[51])/99 + 
       (2180*s[52])/297 - (118376*s[53])/297 + (18560*s[54])/99 - 
       (967700*s[55])/297 - (27796*s[56])/33 - (729680*s[57])/297 - 
       (398572*s[58])/891 + (487180*s[59])/891 + (7744466*s[60])/891 - 
       (781360*s[61])/2673 - (64*s[82])/3) + HPL[{1}, 1 - v]^2*Qep[u, v, w]*
      ((-184*s[5])/11 + (9880*s[6])/99 + (157936*s[7])/297 - 
       (16264*s[8])/891 - (33512*s[9])/81 - (10984*s[10])/81 - 
       (192512*s[11])/297 - (238768*s[12])/297 - (113152*s[13])/297 - 
       (104672*s[14])/297 - (1304*s[15])/3 - (250576*s[16])/297 - 
       (5032*s[17])/11 - (57016*s[18])/243 + (24064*s[19])/243 - 
       (3665744*s[20])/2673 - (1584104*s[21])/2673 + (745936*s[22])/2673 + 
       (182408*s[23])/297 + (1373080*s[24])/2673 - (16387604*s[25])/24057 + 
       (13303412*s[26])/24057 + (128*s[37])/9 + (512*s[38])/9 - 
       (584*s[39])/9 + (584*s[40])/9 - (584*s[41])/9 + (136*s[42])/3 + 
       (5224*s[43])/33 - (3404*s[44])/33 + (1448*s[45])/33 - 
       (50224*s[46])/99 - (16052*s[47])/297 + (91396*s[48])/297 - 
       (144916*s[49])/297 + (2368*s[50])/11 + (7036*s[51])/99 + 
       (16028*s[52])/297 - (29840*s[53])/297 + (25472*s[54])/99 - 
       (302372*s[55])/297 - (7588*s[56])/11 + (59056*s[57])/297 - 
       (665092*s[58])/891 + (568948*s[59])/891 + (4528394*s[60])/891 - 
       (456328*s[61])/2673 - (64*s[82])/3) + HPL[{1}, 1 - u]^3*
      Omega2[w, u, v]*(4*s[3] + (1151*s[5])/44 + (1385*s[6])/88 + 
       (75043*s[7])/264 - (11657*s[8])/792 - (18001*s[9])/72 - 
       (2135*s[10])/18 - (139127*s[11])/528 - (116059*s[12])/528 - 
       (28619*s[13])/264 - (28789*s[14])/264 - (12599*s[15])/24 - 
       (140087*s[16])/264 - (303047*s[17])/528 - (9371*s[18])/216 - 
       (16249*s[19])/216 - (781469*s[20])/1188 - (635275*s[21])/2376 + 
       (42457*s[22])/297 + (63299*s[23])/528 + (1616599*s[24])/4752 - 
       (12866819*s[25])/42768 + (9051899*s[26])/42768 + (8*s[37])/3 + 
       5*s[38] - 12*s[39] + 12*s[40] + (3*s[41])/4 + (39*s[42])/2 + 
       (335*s[43])/11 - (1505*s[44])/88 + (1239*s[45])/22 - (6295*s[46])/22 - 
       (1247*s[47])/264 + (3901*s[48])/264 - (34319*s[49])/264 + 
       (5597*s[50])/22 + (2569*s[51])/264 - (2459*s[52])/264 - 
       (10101*s[53])/44 - (1388*s[54])/33 - (386857*s[55])/264 - 
       (63607*s[56])/264 - (254843*s[57])/396 - (458707*s[58])/2376 + 
       (838345*s[59])/2376 + (4298479*s[60])/1584 - (2662609*s[61])/21384 - 
       12*s[82]) + HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 1}, 1 - w]*
      (4*s[3] + (2941*s[5])/132 + (2905*s[6])/264 + (11047*s[7])/44 - 
       (31463*s[8])/2376 - (47911*s[9])/216 - (11473*s[10])/108 - 
       (369689*s[11])/1584 - (310279*s[12])/1584 - (38309*s[13])/396 - 
       (18331*s[14])/198 - (4166*s[15])/9 - (370885*s[16])/792 - 
       (799901*s[17])/1584 - (24107*s[18])/648 - (44731*s[19])/648 - 
       (2070281*s[20])/3564 - (839579*s[21])/3564 + (903377*s[22])/7128 + 
       (169615*s[23])/1584 + (4305691*s[24])/14256 - 
       (34297727*s[25])/128304 + (24022571*s[26])/128304 + s[35]/2 - s[36] + 
       (8*s[37])/3 + 5*s[38] - (149*s[39])/12 + (149*s[40])/12 - 
       (7*s[41])/6 + (56*s[42])/3 + (4039*s[43])/132 - (785*s[44])/44 + 
       (6355*s[45])/132 - (5565*s[46])/22 - (577*s[47])/99 + 
       (6437*s[48])/396 - (51959*s[49])/396 + (14885*s[50])/66 + 
       (184*s[51])/33 - (926*s[52])/99 - (80401*s[53])/396 - 
       (1642*s[54])/33 - (126976*s[55])/99 - (6515*s[56])/33 - 
       (54400*s[57])/99 - (201539*s[58])/1188 + (94907*s[59])/297 + 
       (5757203*s[60])/2376 - (82565*s[61])/792 - 12*s[82]) + 
     HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*((3*s[2])/2 + 4*s[3] + 
       (63*s[4])/2 - (65*s[5])/4 + (575*s[6])/4 + (3337*s[7])/24 - 
       (331*s[8])/9 - (2809*s[9])/36 + (3817*s[10])/36 - (6223*s[11])/24 - 
       (2537*s[12])/6 - (2687*s[13])/8 + (545*s[14])/24 + (1279*s[15])/8 - 
       (375*s[16])/4 + (7141*s[17])/24 - (13127*s[18])/108 + 
       (5186*s[19])/27 - (15149*s[20])/108 - (28777*s[21])/216 + 
       (15143*s[22])/216 + (3709*s[23])/4 - (3551*s[24])/108 - 
       (737173*s[25])/1944 + (489673*s[26])/1944 + s[32] + 4*s[37] + 
       11*s[38] - (115*s[39])/2 + (133*s[40])/2 - 58*s[41] + 85*s[42] + 
       (155*s[43])/2 - (319*s[44])/4 - (59*s[45])/2 - 238*s[46] + 
       (93*s[47])/4 + (339*s[48])/4 - (707*s[49])/4 - (233*s[50])/2 + 
       (165*s[51])/4 + (327*s[52])/4 + 81*s[53] + (515*s[54])/2 + 
       (1785*s[55])/4 - (1913*s[56])/4 + (8727*s[57])/4 - (11681*s[58])/12 + 
       (8615*s[59])/12 + (5233*s[60])/8 - (3595*s[61])/36 - 12*s[82]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 1}, 1 - u]*((1031*s[5])/132 + 
       (1025*s[6])/264 + (2723*s[7])/44 - (4219*s[8])/2376 - 
       (11051*s[9])/216 - (3353*s[10])/108 - (74989*s[11])/1584 - 
       (35567*s[12])/1584 - (755*s[13])/198 - (8875*s[14])/396 - 
       (1354*s[15])/9 - (98831*s[16])/792 - (263929*s[17])/1584 - 
       (1855*s[18])/648 - (18263*s[19])/648 - (497857*s[20])/3564 - 
       (92129*s[21])/1782 + (209587*s[22])/7128 + (30515*s[23])/1584 + 
       (1174799*s[24])/14256 - (7421671*s[25])/128304 + 
       (4873123*s[26])/128304 + (2*s[36])/3 + (13*s[37])/3 + (71*s[39])/12 - 
       (71*s[40])/12 + (32*s[41])/3 - (25*s[42])/6 + (191*s[43])/132 + 
       (9*s[44])/11 + (2843*s[45])/132 - (1351*s[46])/22 - (1481*s[47])/396 + 
       (364*s[48])/99 - (223*s[49])/99 + (2081*s[50])/33 + (1109*s[51])/132 - 
       (2887*s[52])/396 - (27251*s[53])/396 - (134*s[54])/11 - 
       (177839*s[55])/396 - (8351*s[56])/132 - (12338*s[57])/33 + 
       (16415*s[58])/594 + (45455*s[59])/1188 + (722195*s[60])/1188 - 
       (706487*s[61])/21384 - 12*s[82]) + HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v]*(12*s[4] + (54*s[5])/11 - (62*s[6])/11 - 
       (4349*s[7])/33 - (188*s[8])/99 + (1058*s[9])/9 + (1246*s[10])/9 + 
       (7214*s[11])/33 + (6079*s[12])/33 + (2559*s[13])/11 - 
       (2863*s[14])/33 + 425*s[15] + (5004*s[16])/11 + (15526*s[17])/33 - 
       (5348*s[18])/27 + (8546*s[19])/27 + (61832*s[20])/297 + 
       (15401*s[21])/297 - (26359*s[22])/297 + (6153*s[23])/11 - 
       (165397*s[24])/297 + (859415*s[25])/2673 - (324509*s[26])/2673 - 
       16*s[37] - 14*s[38] + 2*s[39] - 2*s[40] - 40*s[41] + 28*s[42] - 
       (138*s[43])/11 + (729*s[44])/11 - (508*s[45])/11 + (2688*s[46])/11 + 
       (1109*s[47])/11 - (1465*s[48])/11 + (3867*s[49])/11 - 
       (3708*s[50])/11 + (1433*s[51])/11 + (1163*s[52])/11 + 
       (2444*s[53])/11 + (6812*s[54])/11 + (51703*s[55])/33 - 
       (1823*s[56])/11 + (28286*s[57])/33 + (12113*s[58])/99 - 
       (37421*s[59])/99 - (234785*s[60])/66 + (33317*s[61])/891 - 12*s[82]) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 1}, 1 - v]*((2*s[1])/3 - 22*s[4] + 
       (53*s[5])/44 - (1601*s[6])/88 - (42619*s[7])/264 + (21325*s[8])/792 + 
       (9137*s[9])/72 + (209*s[10])/9 + (99061*s[11])/528 + 
       (119483*s[12])/528 + (4592*s[13])/33 - (7409*s[14])/132 + 
       (4769*s[15])/24 + (17113*s[16])/66 + (25471*s[17])/176 + 
       (5359*s[18])/216 + (5597*s[19])/216 + (297277*s[20])/1188 + 
       (23227*s[21])/297 - (199189*s[22])/2376 - (177829*s[23])/528 - 
       (792437*s[24])/4752 + (11614681*s[25])/42768 - (5326525*s[26])/42768 - 
       3*s[38] + (119*s[39])/4 - (119*s[40])/4 + (59*s[41])/2 - 
       (91*s[42])/2 - (727*s[43])/44 + (1871*s[44])/88 - (2641*s[45])/132 + 
       (4481*s[46])/22 - (4963*s[47])/264 + (5003*s[48])/264 + 
       (22237*s[49])/264 - (1634*s[50])/11 - (6421*s[51])/264 - 
       (6053*s[52])/264 + (7145*s[53])/66 - (169*s[54])/11 + 
       (175517*s[55])/264 + (51329*s[56])/264 - (4115*s[57])/11 + 
       (99175*s[58])/264 - (99413*s[59])/264 - (2287319*s[60])/1584 + 
       (74903*s[61])/792 - 12*s[82]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*((-114*s[5])/11 + (258*s[6])/11 - 
       (1395*s[7])/11 + (1096*s[8])/99 + (1106*s[9])/9 + (730*s[10])/9 + 
       (2918*s[11])/33 + (457*s[12])/33 + (557*s[13])/33 + (131*s[14])/33 + 
       333*s[15] + (8216*s[16])/33 + (12164*s[17])/33 - (1088*s[18])/27 + 
       (3278*s[19])/27 + (70910*s[20])/297 + (12665*s[21])/297 - 
       (18085*s[22])/297 + (8573*s[23])/33 - (62803*s[24])/297 + 
       (317741*s[25])/2673 - (97925*s[26])/2673 + 14*s[38] - 22*s[39] + 
       22*s[40] - 20*s[41] + 20*s[42] + (306*s[43])/11 - (373*s[44])/11 - 
       (580*s[45])/11 + (1512*s[46])/11 - (233*s[47])/33 + (2737*s[48])/33 - 
       (2491*s[49])/33 - (2248*s[50])/11 + (177*s[51])/11 + (635*s[52])/33 + 
       (6052*s[53])/33 + (716*s[54])/11 + (40019*s[55])/33 + (705*s[56])/11 + 
       (11014*s[57])/11 - (8099*s[58])/99 - (3769*s[59])/99 - 
       (261251*s[60])/198 + (86903*s[61])/891 - 12*s[82]) + 
     HPL[{1}, 1 - w]^3*Omega2[v, w, u]*((-85*s[4])/3 - (193*s[5])/132 - 
       (1491*s[6])/88 - (20953*s[7])/88 + (86261*s[8])/2376 + 
       (40957*s[9])/216 + (1177*s[10])/27 + (421703*s[11])/1584 + 
       (494299*s[12])/1584 + (142603*s[13])/792 - (54695*s[14])/792 + 
       (23389*s[15])/72 + (308437*s[16])/792 + (393887*s[17])/1584 + 
       (22979*s[18])/648 + (30217*s[19])/648 + (1412153*s[20])/3564 + 
       (883939*s[21])/7128 - (109702*s[22])/891 - (734215*s[23])/1584 - 
       (3573715*s[24])/14256 + (48690623*s[25])/128304 - 
       (22660535*s[26])/128304 - (14*s[38])/3 + (77*s[39])/2 - (77*s[40])/2 + 
       (461*s[41])/12 - (175*s[42])/3 - (1481*s[43])/66 + (7285*s[44])/264 - 
       (364*s[45])/11 + (19229*s[46])/66 - (15769*s[47])/792 + 
       (22643*s[48])/792 + (93199*s[49])/792 - (14765*s[50])/66 - 
       (7499*s[51])/264 - (21701*s[52])/792 + (66949*s[53])/396 - 
       (331*s[54])/33 + (272339*s[55])/264 + (68797*s[56])/264 - 
       (150527*s[57])/396 + (1169401*s[58])/2376 - (1222099*s[59])/2376 - 
       (10229563*s[60])/4752 + (319727*s[61])/2376 - 12*s[82]) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 1}, 1 - w]*((-121*s[4])/3 + 
       (1031*s[5])/132 - (1301*s[6])/88 - (63335*s[7])/264 + 
       (113195*s[8])/2376 + (39655*s[9])/216 + (604*s[10])/27 + 
       (453407*s[11])/1584 + (583645*s[12])/1584 + (86897*s[13])/396 - 
       (28379*s[14])/198 + (19483*s[15])/72 + (145169*s[16])/396 + 
       (244799*s[17])/1584 + (25901*s[18])/648 + (23911*s[19])/648 + 
       (1161779*s[20])/3564 + (305891*s[21])/3564 - (896837*s[22])/7128 - 
       (1006015*s[23])/1584 - (3199615*s[24])/14256 + 
       (55617371*s[25])/128304 - (22917959*s[26])/128304 - (20*s[38])/3 + 
       (217*s[39])/4 - (217*s[40])/4 + (161*s[41])/3 - (497*s[42])/6 - 
       (3241*s[43])/132 + (8917*s[44])/264 - (1179*s[45])/44 + 
       (20411*s[46])/66 - (28273*s[47])/792 + (36605*s[48])/792 + 
       (106555*s[49])/792 - (2511*s[50])/11 - (11389*s[51])/264 - 
       (34715*s[52])/792 + (15817*s[53])/99 - (112*s[54])/11 + 
       (246769*s[55])/264 + (69637*s[56])/264 - (161071*s[57])/198 + 
       (1517407*s[58])/2376 - (1485181*s[59])/2376 - (9920005*s[60])/4752 + 
       (988159*s[61])/7128 - 12*s[82]) + D32[v, w, u]*
      (-9*s[3] - (23*s[4])/2 - (43*s[5])/22 - (211*s[6])/11 - 
       (11333*s[7])/132 + (842*s[8])/99 + (1103*s[9])/18 + (157*s[10])/18 + 
       (14227*s[11])/132 + (8947*s[12])/66 + (11849*s[13])/132 + 
       (325*s[14])/132 + (997*s[15])/12 + (4649*s[16])/33 + (3271*s[17])/44 + 
       (1207*s[18])/54 + (155*s[19])/54 + (45094*s[20])/297 + 
       (69859*s[21])/1188 - (48119*s[22])/1188 - (5737*s[23])/33 - 
       (24590*s[24])/297 + (1566331*s[25])/10692 - (846817*s[26])/10692 - 
       s[35] - 2*s[36] - s[37] - 5*s[38] + 18*s[39] - 20*s[40] + 12*s[41] - 
       26*s[42] - (118*s[43])/11 + (371*s[44])/22 - (142*s[45])/11 + 
       (1142*s[46])/11 - (272*s[47])/33 - (140*s[48])/33 + (1850*s[49])/33 - 
       (665*s[50])/11 - (150*s[51])/11 - (1223*s[52])/66 + (1141*s[53])/33 - 
       (304*s[54])/11 + (2744*s[55])/11 + (1280*s[56])/11 - (9820*s[57])/33 + 
       (7685*s[58])/33 - (6613*s[59])/33 - (74098*s[60])/99 + 
       (88013*s[61])/1782 + 2*s[76] - 12*s[82]) + 
     D32[w, u, v]*(-s[3] - s[4]/2 - (131*s[5])/22 - (167*s[6])/11 - 
       (4137*s[7])/44 + (688*s[8])/99 + (1471*s[9])/18 + (293*s[10])/18 + 
       (14843*s[11])/132 + (4501*s[12])/33 + (10991*s[13])/132 + 
       (2591*s[14])/132 + (1055*s[15])/12 + (4880*s[16])/33 + 
       (10781*s[17])/132 + (1661*s[18])/54 - (431*s[19])/54 + 
       (57557*s[20])/297 + (94961*s[21])/1188 - (61033*s[22])/1188 - 
       (9791*s[23])/66 - (50621*s[24])/594 + (1462271*s[25])/10692 - 
       (870665*s[26])/10692 - 3*s[33] - 2*s[36] - s[37] - 5*s[38] + 
       18*s[39] - 21*s[40] + 11*s[41] - 26*s[42] - (118*s[43])/11 + 
       (371*s[44])/22 - (153*s[45])/11 + (1142*s[46])/11 - (272*s[47])/33 - 
       (140*s[48])/33 + (1817*s[49])/33 - (643*s[50])/11 - (150*s[51])/11 - 
       (1223*s[52])/66 + (1141*s[53])/33 - (304*s[54])/11 + (2744*s[55])/11 + 
       (1302*s[56])/11 - (9886*s[57])/33 + (7696*s[58])/33 - 
       (2230*s[59])/11 - (148625*s[60])/198 + (93293*s[61])/1782 + 2*s[76] - 
       12*s[82]) + HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((61*s[3])/4 - (305*s[4])/8 - (49*s[5])/4 - (155*s[6])/8 - 
       (76537*s[7])/144 + (8069*s[8])/216 + (23363*s[9])/54 + 
       (6350*s[10])/27 + (77201*s[11])/144 + (8141*s[12])/18 + 
       (54739*s[13])/144 - (5971*s[14])/144 + (131245*s[15])/144 + 
       (67613*s[16])/72 + (46669*s[17])/48 - (11099*s[18])/162 + 
       (214211*s[19])/648 + (543631*s[20])/648 + (256235*s[21])/1296 - 
       (335851*s[22])/1296 + (16001*s[23])/72 - (541739*s[24])/648 + 
       (4562329*s[25])/5832 - (1819651*s[26])/5832 + 2*s[30] - 12*s[35] + 
       (79*s[36])/6 - (7*s[37])/12 - 4*s[38] + (209*s[39])/8 - 
       (487*s[40])/24 + (157*s[41])/8 - (983*s[42])/24 - (1375*s[43])/24 + 
       (1181*s[44])/48 - (3247*s[45])/24 + (7585*s[46])/12 + 
       (2261*s[47])/144 + (1511*s[48])/144 + (39601*s[49])/144 - 
       (1865*s[50])/3 - (3641*s[51])/144 + (1609*s[52])/144 + 
       (17051*s[53])/36 + (1415*s[54])/6 + (145235*s[55])/48 + 
       (4695*s[56])/16 + (54755*s[57])/36 + (142033*s[58])/432 - 
       (234889*s[59])/432 - (5168449*s[60])/864 + (83731*s[61])/324 - 
       (3*s[62])/2 - 4*s[76] + 12*s[79] - (37*s[80])/6 - 12*s[82]) + 
     D32[u, v, w]*((-21*s[4])/2 + s[5]/22 - (200*s[6])/11 - 
       (14149*s[7])/132 + (3439*s[8])/297 + (4591*s[9])/54 + (971*s[10])/54 + 
       (51833*s[11])/396 + (16033*s[12])/99 + (41795*s[13])/396 - 
       (1027*s[14])/396 + (3775*s[15])/36 + (16367*s[16])/99 + 
       (32717*s[17])/396 + (3167*s[18])/162 + (1609*s[19])/162 + 
       (336817*s[20])/1782 + (231665*s[21])/3564 - (207343*s[22])/3564 - 
       (35621*s[23])/198 - (196325*s[24])/1782 + (5641451*s[25])/32076 - 
       (2860199*s[26])/32076 - 2*s[35] - 2*s[36] - (2*s[37])/3 - 6*s[38] + 
       23*s[39] - 28*s[40] + 20*s[41] - 35*s[42] - (173*s[43])/11 + 
       (525*s[44])/22 - (272*s[45])/33 + (4130*s[46])/33 - (533*s[47])/66 - 
       (599*s[48])/66 + (5273*s[49])/66 - (940*s[50])/11 - (1351*s[51])/66 - 
       (1399*s[52])/66 + (4435*s[53])/99 - (934*s[54])/33 + 
       (20149*s[55])/66 + (23095*s[56])/198 - (97598*s[57])/297 + 
       (458297*s[58])/1782 - (415259*s[59])/1782 - (398989*s[60])/396 + 
       (716393*s[61])/16038 - 8*s[79] + (8*s[80])/3 - 12*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((4*s[3])/3 + (4*s[4])/3 + (3527*s[5])/132 + (11395*s[6])/264 + 
       (177751*s[7])/1584 - (4523*s[8])/594 - (13001*s[9])/108 + 
       (361*s[10])/216 - (231989*s[11])/1584 - (299275*s[12])/1584 - 
       (42277*s[13])/396 - (30043*s[14])/792 - (2483*s[15])/144 - 
       (258031*s[16])/1584 - (13265*s[17])/528 - (51823*s[18])/324 + 
       (102839*s[19])/648 - (1711537*s[20])/7128 - (1534789*s[21])/7128 + 
       (504425*s[22])/7128 + (295541*s[23])/396 - (145411*s[24])/1782 - 
       (7530511*s[25])/64152 + (9778675*s[26])/64152 - s[35]/3 + s[36]/3 - 
       (43*s[37])/18 + (47*s[38])/6 - (1127*s[39])/12 + (1135*s[40])/12 - 
       (463*s[41])/6 + (481*s[42])/3 + (575*s[43])/12 - (2827*s[44])/48 - 
       (169*s[45])/4 - (329*s[46])/2 + (7817*s[47])/144 - (2863*s[48])/144 - 
       (27839*s[49])/144 + (170*s[50])/3 + (11525*s[51])/144 + 
       (11359*s[52])/144 - (455*s[53])/72 + (153*s[54])/4 + 
       (51089*s[55])/144 - (7567*s[56])/48 + (80737*s[57])/36 - 
       (112321*s[58])/144 + (10553*s[59])/16 + (213869*s[60])/864 - 
       (9539*s[61])/162 - 11*s[82]) + HPL[{1}, 1 - v]^2*Qep[u, w, v]*
      ((-368*s[5])/11 - (1360*s[6])/99 + (197930*s[7])/297 - 
       (37940*s[8])/891 - (43324*s[9])/81 - (24932*s[10])/81 - 
       (193888*s[11])/297 - (181592*s[12])/297 - (82820*s[13])/297 - 
       (83548*s[14])/297 - (3362*s[15])/3 - (356678*s[16])/297 - 
       (13628*s[17])/11 + (5512*s[18])/243 - (80308*s[19])/243 - 
       (4169560*s[20])/2673 - (1218436*s[21])/2673 + (856160*s[22])/2673 - 
       (162326*s[23])/297 + (2700686*s[24])/2673 - (18675958*s[25])/24057 + 
       (11243542*s[26])/24057 + (256*s[37])/9 + (256*s[38])/9 + 
       (536*s[39])/9 - (536*s[40])/9 + (248*s[41])/9 - (328*s[42])/3 + 
       (2792*s[43])/33 + (254*s[44])/33 + (5800*s[45])/33 - 
       (66656*s[46])/99 - (16990*s[47])/297 + (47426*s[48])/297 - 
       (63386*s[49])/297 + (7200*s[50])/11 + (938*s[51])/99 - 
       (17906*s[52])/297 - (158020*s[53])/297 + (5536*s[54])/99 - 
       (1194718*s[55])/297 - (6706*s[56])/11 - (1174168*s[57])/297 + 
       (96934*s[58])/891 + (165386*s[59])/891 + (7070683*s[60])/891 - 
       (785144*s[61])/2673 - (32*s[82])/3) + HPL[{1}, 1 - v]^2*Qep[w, u, v]*
      ((-184*s[5])/11 + (2840*s[6])/99 + (116906*s[7])/297 - 
       (21500*s[8])/891 - (25924*s[9])/81 - (11660*s[10])/81 - 
       (125368*s[11])/297 - (143552*s[12])/297 - (70340*s[13])/297 - 
       (59308*s[14])/297 - 478*s[15] - (190406*s[16])/297 - 
       (16372*s[17])/33 - (17360*s[18])/243 - (17620*s[19])/243 - 
       (2572696*s[20])/2673 - (899068*s[21])/2673 + (533504*s[22])/2673 - 
       (13766*s[23])/297 + (1356206*s[24])/2673 - (11632546*s[25])/24057 + 
       (8088994*s[26])/24057 - (128*s[37])/9 + (256*s[38])/9 - (16*s[39])/9 + 
       (16*s[40])/9 - (112*s[41])/9 - (64*s[42])/3 + (2672*s[43])/33 - 
       (1622*s[44])/33 + (2416*s[45])/33 - (38960*s[46])/99 - 
       (12730*s[47])/297 + (44558*s[48])/297 - (69302*s[49])/297 + 
       (9568*s[50])/33 + (2702*s[51])/99 + (1090*s[52])/297 - 
       (59188*s[53])/297 + (9280*s[54])/99 - (483850*s[55])/297 - 
       (13898*s[56])/33 - (364840*s[57])/297 - (199286*s[58])/891 + 
       (243590*s[59])/891 + (3872233*s[60])/891 - (391208*s[61])/2673 - 
       (32*s[82])/3) + HPL[{1}, 1 - u]^4*HPL[{0, 0, 1}, 1 - u]*
      ((32*s[5])/33 - (83*s[6])/132 - (1715*s[7])/792 + (911*s[8])/594 + 
       (533*s[9])/108 - (713*s[10])/108 + (3941*s[11])/396 + 
       (18635*s[12])/792 + (6475*s[13])/396 + (7027*s[14])/792 - 
       (2069*s[15])/72 - (5755*s[16])/792 - (3067*s[17])/88 + 
       (2047*s[18])/324 - (2093*s[19])/162 + (90703*s[20])/7128 + 
       (12025*s[21])/1782 - (25643*s[22])/7128 - (493*s[23])/198 + 
       (16661*s[24])/3564 + (358777*s[25])/64152 - (189005*s[26])/32076 + 
       (7*s[37])/3 + (71*s[39])/12 - (71*s[40])/12 + (32*s[41])/3 - 
       (17*s[42])/4 - (233*s[43])/132 + (541*s[44])/264 + (1037*s[45])/132 + 
       (103*s[46])/33 + (38*s[47])/99 + (2231*s[48])/396 + (865*s[49])/99 + 
       (303*s[50])/44 + (3787*s[51])/396 - (4351*s[52])/792 - 
       (6169*s[53])/396 - (668*s[54])/33 - (9578*s[55])/99 + (125*s[56])/44 - 
       (77563*s[57])/396 + (75787*s[58])/1188 - (36703*s[59])/1188 + 
       (52981*s[60])/1188 + (3455*s[61])/3564 - 10*s[82]) + 
     HPL[{1}, 1 - w]^4*HPL[{0, 0, 1}, 1 - w]*((-85*s[4])/2 + (32*s[5])/33 - 
       (689*s[6])/33 - (127099*s[7])/396 + (64423*s[8])/1188 + 
       (27329*s[9])/108 + (2693*s[10])/54 + (35858*s[11])/99 + 
       (345137*s[12])/792 + (199631*s[13])/792 - (92765*s[14])/792 + 
       (1249*s[15])/3 + (406349*s[16])/792 + (39977*s[17])/132 + 
       (16453*s[18])/324 + (18065*s[19])/324 + (453773*s[20])/891 + 
       (1082485*s[21])/7128 - (1184801*s[22])/7128 - (272807*s[23])/396 - 
       (1142167*s[24])/3564 + (33713197*s[25])/64152 - 
       (15125083*s[26])/64152 - (41*s[38])/6 + (170*s[39])/3 - 
       (227*s[40])/4 + (335*s[41])/6 - (523*s[42])/6 - (974*s[43])/33 + 
       (9671*s[44])/264 - (1891*s[45])/44 + (8667*s[46])/22 - 
       (25997*s[47])/792 + (39607*s[48])/792 + (121925*s[49])/792 - 
       (9923*s[50])/33 - (35315*s[51])/792 - (34711*s[52])/792 + 
       (89597*s[53])/396 - (197*s[54])/11 + (1073063*s[55])/792 + 
       (92237*s[56])/264 - (129955*s[57])/198 + (560591*s[58])/792 - 
       (572683*s[59])/792 - (13398035*s[60])/4752 + (979711*s[61])/5346 - 
       10*s[82]) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      ((775*s[5])/44 - (665*s[6])/132 - (493945*s[7])/792 + 
       (12200*s[8])/297 + (27995*s[9])/54 + (7265*s[10])/27 + 
       (126515*s[11])/198 + (64475*s[12])/99 + (121895*s[13])/396 + 
       (103225*s[14])/396 + (7515*s[15])/8 + (862435*s[16])/792 + 
       (11030*s[17])/11 + (16715*s[18])/324 + (70465*s[19])/324 + 
       (1327765*s[20])/891 + (848615*s[21])/1782 - (278000*s[22])/891 + 
       (198025*s[23])/792 - (6258805*s[24])/7128 + (23850205*s[25])/32076 - 
       (15009145*s[26])/32076 - (40*s[37])/3 - (100*s[38])/3 - 
       (215*s[39])/12 + (215*s[40])/12 - (95*s[41])/12 + (235*s[42])/4 - 
       (4205*s[43])/44 + (1635*s[44])/44 - (6205*s[45])/44 + 
       (41605*s[46])/66 + (21925*s[47])/396 - (17330*s[48])/99 + 
       (29825*s[49])/99 - (6090*s[50])/11 - (2795*s[51])/132 + 
       (3155*s[52])/99 + (167275*s[53])/396 - (1180*s[54])/33 + 
       (1270015*s[55])/396 + (6335*s[56])/11 + (266305*s[57])/99 + 
       (85345*s[58])/594 - (102290*s[59])/297 - (16996055*s[60])/2376 + 
       (299405*s[61])/1188 - 10*s[82]) + HPL[{1}, 1 - u]^2*M1[u, v, w]*
      (2*s[3] + 2*s[4] + (4801*s[5])/264 + (12049*s[6])/528 + 
       (52847*s[7])/264 - (53747*s[8])/4752 - (74011*s[9])/432 - 
       (16945*s[10])/216 - (594257*s[11])/3168 - (494491*s[12])/3168 - 
       (32959*s[13])/396 - (72959*s[14])/792 - (3361*s[15])/9 - 
       (601351*s[16])/1584 - (1297781*s[17])/3168 - (41999*s[18])/1296 - 
       (55783*s[19])/1296 - (3322775*s[20])/7128 - (179005*s[21])/891 + 
       (1420031*s[22])/14256 + (288103*s[23])/3168 + (6767011*s[24])/28512 - 
       (53543003*s[25])/256608 + (41131391*s[26])/256608 + (4*s[37])/3 + 
       (5*s[38])/2 - (215*s[39])/24 + (215*s[40])/24 - (11*s[41])/6 + 
       (95*s[42])/6 + (6157*s[43])/264 - (1017*s[44])/88 + (9349*s[45])/264 - 
       (8741*s[46])/44 - (1351*s[47])/198 + (12251*s[48])/792 - 
       (74483*s[49])/792 + (22481*s[50])/132 - (299*s[51])/132 - 
       (2953*s[52])/396 - (123967*s[53])/792 - (200*s[54])/11 - 
       (99446*s[55])/99 - (24653*s[56])/132 - (17789*s[57])/44 - 
       (357763*s[58])/2376 + (312755*s[59])/1188 + (8827031*s[60])/4752 - 
       (3854347*s[61])/42768 - 6*s[82]) + HPL[{1}, 1 - u]^2*M1[w, u, v]*
      (2*s[3] + (1031*s[5])/88 + (1355*s[6])/176 + (11557*s[7])/88 - 
       (3775*s[8])/528 - (5567*s[9])/48 - (1277*s[10])/24 - 
       (43249*s[11])/352 - (36855*s[12])/352 - (4687*s[13])/88 - 
       (1131*s[14])/22 - (2839*s[15])/12 - (42565*s[16])/176 - 
       (90917*s[17])/352 - (2995*s[18])/144 - (4667*s[19])/144 - 
       (240085*s[20])/792 - (97921*s[21])/792 + (104725*s[22])/1584 + 
       (19551*s[23])/352 + (489947*s[24])/3168 - (4014763*s[25])/28512 + 
       (2838679*s[26])/28512 + s[35] - s[36] + s[37]/3 + (5*s[38])/2 - 
       (55*s[39])/8 + (55*s[40])/8 - (5*s[41])/4 + (21*s[42])/2 + 
       (1357*s[43])/88 - (717*s[44])/88 + (2161*s[45])/88 - (5813*s[46])/44 - 
       (20*s[47])/11 + (533*s[48])/88 - (5603*s[49])/88 + (5075*s[50])/44 + 
       (235*s[51])/66 - (71*s[52])/22 - (9113*s[53])/88 - (190*s[54])/11 - 
       (43313*s[55])/66 - (1202*s[56])/11 - (8651*s[57])/33 - 
       (77797*s[58])/792 + (33361*s[59])/198 + (655487*s[60])/528 - 
       (815387*s[61])/14256 - 6*s[82]) + HPL[{1}, 1 - w]^2*M1[w, u, v]*
      ((-45*s[4])/4 + (943*s[5])/88 - (229*s[6])/176 + (31909*s[7])/528 - 
       (259*s[8])/1584 - (9179*s[9])/144 - (355*s[10])/9 - 
       (46411*s[11])/1056 - (19529*s[12])/1056 + (1735*s[13])/264 - 
       (2450*s[14])/33 - (6059*s[15])/48 - (31205*s[16])/264 - 
       (57697*s[17])/352 - (8485*s[18])/432 - (2399*s[19])/432 - 
       (476209*s[20])/2376 - (193333*s[21])/2376 + (152365*s[22])/4752 - 
       (79661*s[23])/1056 + (702371*s[24])/9504 - (2093755*s[25])/85536 + 
       (3368191*s[26])/85536 + s[38] + (35*s[39])/8 - (35*s[40])/8 + 
       9*s[41] - (27*s[42])/4 + (499*s[43])/88 + (205*s[44])/176 + 
       (1171*s[45])/88 - (1831*s[46])/44 - (3677*s[47])/528 + 
       (5761*s[48])/528 - (5161*s[49])/528 + (2149*s[50])/44 + 
       (2309*s[51])/528 - (4003*s[52])/528 - (1535*s[53])/33 - 
       (127*s[54])/22 - (152365*s[55])/528 - (3491*s[56])/176 - 
       (3639*s[57])/11 + (70687*s[58])/1584 - (21697*s[59])/1584 + 
       (1627003*s[60])/3168 - (275617*s[61])/14256 - 6*s[82]) + 
     B8[w, u, v]*HPL[{1}, 1 - w]*((3*s[4])/4 + (135*s[5])/44 + (5*s[6])/22 + 
       (2131*s[7])/88 - (53*s[8])/22 - (89*s[9])/4 - (21*s[10])/4 - 
       (1635*s[11])/88 - (339*s[12])/22 - (273*s[13])/88 - (995*s[14])/88 - 
       (323*s[15])/8 - (1713*s[16])/44 - (3871*s[17])/88 - (137*s[18])/12 + 
       (53*s[19])/12 - (7693*s[20])/132 - (6773*s[21])/264 + 
       (3071*s[22])/264 + (819*s[23])/22 + (419*s[24])/33 - 
       (14161*s[25])/792 + (13609*s[26])/792 + s[37]/2 - s[38] - s[39]/2 + 
       s[40]/2 - (3*s[41])/2 + 3*s[42] - (35*s[43])/22 + (123*s[44])/44 + 
       (135*s[45])/22 - (234*s[46])/11 + (215*s[47])/44 - (555*s[48])/44 + 
       (609*s[49])/44 + (196*s[50])/11 + (545*s[51])/132 + (207*s[52])/44 - 
       (194*s[53])/11 + (204*s[54])/11 - (15365*s[55])/132 - 
       (1593*s[56])/44 - (1201*s[57])/66 - (11699*s[58])/396 + 
       (11195*s[59])/396 + (31595*s[60])/264 - (16361*s[61])/891 - 6*s[82]) + 
     B8[v, w, u]*HPL[{1}, 1 - w]*((3*s[4])/4 + (91*s[5])/44 + (49*s[6])/22 + 
       (1955*s[7])/88 - (203*s[8])/66 - (239*s[9])/12 - (55*s[10])/12 - 
       (1591*s[11])/88 - (164*s[12])/11 - (537*s[13])/88 - (775*s[14])/88 - 
       (953*s[15])/24 - (1537*s[16])/44 - (3387*s[17])/88 - (283*s[18])/36 + 
       (55*s[19])/36 - (19229*s[20])/396 - (16051*s[21])/792 + 
       (8861*s[22])/792 + (533*s[23])/22 + (1510*s[24])/99 - 
       (151825*s[25])/7128 + (122701*s[26])/7128 + s[37]/2 - s[38] - 
       s[39]/2 + s[40]/2 - (3*s[41])/2 + 3*s[42] - (35*s[43])/22 + 
       (123*s[44])/44 + (135*s[45])/22 - (234*s[46])/11 + (215*s[47])/44 - 
       (555*s[48])/44 + (609*s[49])/44 + (196*s[50])/11 + (545*s[51])/132 + 
       (207*s[52])/44 - (194*s[53])/11 + (204*s[54])/11 - (15365*s[55])/132 - 
       (1593*s[56])/44 - (1201*s[57])/66 - (11699*s[58])/396 + 
       (11195*s[59])/396 + (31595*s[60])/264 - (16361*s[61])/891 - 6*s[82]) + 
     B8[u, v, w]*HPL[{1}, 1 - u]*((135*s[5])/44 + (241*s[6])/44 + 
       (541*s[7])/22 - (109*s[8])/132 - (269*s[9])/12 - (73*s[10])/12 - 
       (911*s[11])/44 - (164*s[12])/11 - (395*s[13])/44 - (723*s[14])/44 - 
       (173*s[15])/4 - (1691*s[16])/44 - (1031*s[17])/22 - (247*s[18])/36 + 
       (7*s[19])/9 - (10753*s[20])/198 - (2522*s[21])/99 + (4513*s[22])/396 + 
       (313*s[23])/22 + (1906*s[24])/99 - (155851*s[25])/7128 + 
       (143359*s[26])/7128 + s[37]/2 - (3*s[39])/4 + (3*s[40])/4 - 
       (3*s[41])/4 + (7*s[42])/4 + (73*s[43])/44 + (169*s[44])/88 + 
       (237*s[45])/44 - (545*s[46])/22 + (111*s[47])/88 - (395*s[48])/88 + 
       (459*s[49])/88 + (174*s[50])/11 + (727*s[51])/264 + (271*s[52])/88 - 
       (205*s[53])/11 + (226*s[54])/11 - (10357*s[55])/88 - (3131*s[56])/88 - 
       (2455*s[57])/66 - (20527*s[58])/792 + (23479*s[59])/792 + 
       (27007*s[60])/176 - (29191*s[61])/1782 - 6*s[82]) + 
     HPL[{0, 1, 1}, 1 - v]*Omega2[v, w, u]*(4*s[3] - (13*s[5])/11 - 
       (325*s[6])/22 - (3329*s[7])/44 + (931*s[8])/198 + (1271*s[9])/18 + 
       (377*s[10])/9 + (4337*s[11])/66 + (872*s[12])/33 + (3461*s[13])/66 + 
       (1006*s[14])/33 + (1793*s[15])/12 + (17323*s[16])/132 + 
       (6214*s[17])/33 - (1361*s[18])/54 + (1555*s[19])/27 + 
       (72857*s[20])/594 + (6118*s[21])/297 - (21583*s[22])/594 + 
       (30577*s[23])/132 - (155273*s[24])/1188 + (243103*s[25])/2673 - 
       (193031*s[26])/5346 + 7*s[38] - 11*s[39] + 11*s[40] - 10*s[41] + 
       14*s[42] - s[43]/11 - (559*s[44])/44 - (290*s[45])/11 + 
       (976*s[46])/11 + (161*s[47])/132 + (1745*s[48])/132 - 
       (1781*s[49])/132 - (1058*s[50])/11 + (1007*s[51])/132 + 
       (1171*s[52])/132 + (5293*s[53])/66 + (226*s[54])/11 + 
       (72041*s[55])/132 + (1421*s[56])/44 + (35033*s[57])/66 - 
       (4787*s[58])/132 + (571*s[59])/132 - (664633*s[60])/792 + 
       (160859*s[61])/3564 - 6*s[82]) + HPL[{0, 1, 1}, 1 - v]*Omega2[u, v, w]*
      (-4*s[3] - (101*s[5])/11 + (841*s[6])/22 - (2251*s[7])/44 + 
       (1261*s[8])/198 + (941*s[9])/18 + (353*s[10])/9 + (1499*s[11])/66 - 
       (415*s[12])/33 - (2347*s[13])/66 - (875*s[14])/33 + (2203*s[15])/12 + 
       (15541*s[16])/132 + (5950*s[17])/33 - (815*s[18])/54 + 
       (1723*s[19])/27 + (68963*s[20])/594 + (6547*s[21])/297 - 
       (14587*s[22])/594 + (3715*s[23])/132 - (95939*s[24])/1188 + 
       (74638*s[25])/2673 - (2819*s[26])/5346 + 7*s[38] - 11*s[39] + 
       11*s[40] - 10*s[41] + 6*s[42] + (307*s[43])/11 - (933*s[44])/44 - 
       (290*s[45])/11 + (536*s[46])/11 - (1093*s[47])/132 + 
       (9203*s[48])/132 - (8183*s[49])/132 - (1190*s[50])/11 + 
       (1117*s[51])/132 + (1369*s[52])/132 + (6811*s[53])/66 + 
       (490*s[54])/11 + (29345*s[55])/44 + (1399*s[56])/44 + 
       (31051*s[57])/66 - (18035*s[58])/396 - (16789*s[59])/396 - 
       (380371*s[60])/792 + (62251*s[61])/1188 - 6*s[82]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1, 1}, 1 - v]*((879*s[5])/44 + 
       (917*s[6])/44 - (138443*s[7])/264 + (3682*s[8])/99 + (7813*s[9])/18 + 
       (2263*s[10])/9 + (33439*s[11])/66 + (15487*s[12])/33 + 
       (28753*s[13])/132 + (25847*s[14])/132 + (7219*s[15])/8 + 
       (249617*s[16])/264 + (10785*s[17])/11 - (2327*s[18])/108 + 
       (29483*s[19])/108 + (362915*s[20])/297 + (205255*s[21])/594 - 
       (76723*s[22])/297 + (124115*s[23])/264 - (1923143*s[24])/2376 + 
       (6506771*s[25])/10692 - (3756839*s[26])/10692 - 12*s[37] - 20*s[38] - 
       (181*s[39])/4 + (181*s[40])/4 - (109*s[41])/4 + (339*s[42])/4 - 
       (2613*s[43])/44 + (3*s[44])/44 - (6261*s[45])/44 + (11783*s[46])/22 + 
       (5879*s[47])/132 - (3538*s[48])/33 + (5587*s[49])/33 - 
       (5910*s[50])/11 - (129*s[51])/44 + (1711*s[52])/33 + 
       (57305*s[53])/132 + (64*s[54])/11 + (427925*s[55])/132 + 
       (4893*s[56])/11 + (103415*s[57])/33 - (18721*s[58])/198 - 
       (15496*s[59])/99 - (5001373*s[60])/792 + (90443*s[61])/396 - 
       6*s[82]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*
      (-17*s[2] - (9*s[3])/4 - (3755*s[4])/8 - (3297*s[5])/11 - 
       (65755*s[6])/88 - (1227767*s[7])/176 + (1596029*s[8])/2376 + 
       (636353*s[9])/108 + (78089*s[10])/54 + (12561287*s[11])/1584 + 
       (7226903*s[12])/792 + (8860127*s[13])/1584 + (220817*s[14])/1584 + 
       (1226557*s[15])/144 + (2242261*s[16])/198 + (12154709*s[17])/1584 + 
       (108286*s[18])/81 + (540013*s[19])/648 + (93540859*s[20])/7128 + 
       (66324059*s[21])/14256 - (52648747*s[22])/14256 - 
       (7964105*s[23])/792 - (52206203*s[24])/7128 + (667373401*s[25])/
        64152 - (348480001*s[26])/64152 + 5*s[29] - 3*s[30] - 12*s[31] - 
       2*s[32] + 6*s[33] + 18*s[34] + 16*s[35] + (221*s[36])/6 - 
       (131*s[37])/2 - (755*s[38])/2 + (10817*s[39])/8 - (34703*s[40])/24 + 
       (8499*s[41])/8 - (45601*s[42])/24 - (299797*s[43])/264 + 
       (600977*s[44])/528 - (48809*s[45])/44 + (2393833*s[46])/264 - 
       (908749*s[47])/1584 + (97025*s[48])/1584 + (7944295*s[49])/1584 - 
       (873689*s[50])/132 - (1953371*s[51])/1584 - (1773935*s[52])/1584 + 
       (3638363*s[53])/792 - (51031*s[54])/132 + (15184445*s[55])/528 + 
       (12368629*s[56])/1584 - (13986499*s[57])/1188 + 
       (215500115*s[58])/14256 - (216899669*s[59])/14256 - 
       (689922973*s[60])/9504 + (480272303*s[61])/128304 + 2*s[64] + 
       (3*s[65])/2 + 2*s[66] - 6*s[67] - 12*s[68] + 2*s[69] - s[70] - 
       (3*s[71])/2 - 6*s[72] + 6*s[73] + (7*s[74])/2 - (7*s[75])/2 + 
       22*s[76] - 3*s[77] - 11*s[78] - 24*s[79] - 14*s[80] - 6*s[82]) + 
     B8[v, w, u]*HPL[{1}, 1 - u]*((135*s[5])/44 + (197*s[6])/44 + 
       (409*s[7])/22 - (65*s[8])/132 - (193*s[9])/12 - (53*s[10])/12 - 
       (285*s[11])/22 - (65*s[12])/11 - (30*s[13])/11 - (156*s[14])/11 - 
       (163*s[15])/4 - (741*s[16])/22 - (2073*s[17])/44 - (179*s[18])/36 + 
       (5*s[19])/9 - (8267*s[20])/198 - (8581*s[21])/396 + (1591*s[22])/198 + 
       (747*s[23])/44 + (6029*s[24])/396 - (88289*s[25])/7128 + 
       (111041*s[26])/7128 - s[38] + s[39]/4 - s[40]/4 - (3*s[41])/4 + 
       (5*s[42])/4 - (15*s[43])/44 + (257*s[44])/88 + (237*s[45])/44 - 
       (413*s[46])/22 + (287*s[47])/88 - (747*s[48])/88 + (1031*s[49])/88 + 
       (141*s[50])/11 + (169*s[51])/88 + (227*s[52])/88 - (377*s[53])/22 + 
       (226*s[54])/11 - (9433*s[55])/88 - (2823*s[56])/88 - (1255*s[57])/33 - 
       (14279*s[58])/792 + (19607*s[59])/792 + (48857*s[60])/528 - 
       (29345*s[61])/1782 + s[76] - s[80] - 6*s[82]) + 
     HPL[{1}, 1 - u]^4*HPL[{0, 0, 1}, 1 - w]*((5*s[3])/3 + (2267*s[5])/528 + 
       (1579*s[6])/2112 + (16387*s[7])/264 - (8021*s[8])/2112 - 
       (10597*s[9])/192 - (1279*s[10])/48 - (247447*s[11])/4224 - 
       (220037*s[12])/4224 - (4923*s[13])/176 - (22295*s[14])/1056 - 
       (2587*s[15])/24 - (235451*s[16])/2112 - (164045*s[17])/1408 - 
       (4537*s[18])/576 - (10811*s[19])/576 - (442969*s[20])/3168 - 
       (168673*s[21])/3168 + (199303*s[22])/6336 + (19683*s[23])/1408 + 
       (103655*s[24])/1408 - (7721257*s[25])/114048 + 
       (4874845*s[26])/114048 + s[37]/2 + (25*s[38])/12 - 4*s[39] + 4*s[40] - 
       (9*s[41])/32 + (479*s[42])/96 + (2093*s[43])/264 - (9329*s[44])/2112 + 
       (2971*s[45])/264 - (16469*s[46])/264 - (1563*s[47])/704 + 
       (3937*s[48])/704 - (71623*s[49])/2112 + (7505*s[50])/132 + 
       (2879*s[51])/6336 - (1635*s[52])/704 - (16923*s[53])/352 - 
       (119*s[54])/11 - (212107*s[55])/704 - (33741*s[56])/704 - 
       (195035*s[57])/1584 - (920477*s[58])/19008 + (1510571*s[59])/19008 + 
       (2528773*s[60])/4224 - (4483229*s[61])/171072 - 5*s[82]) + 
     HPL[{1}, 1 - w]^4*HPL[{0, 0, 1}, 1 - v]*((109*s[4])/36 + 
       (197*s[5])/792 + (1811*s[6])/2112 + (111335*s[7])/6336 - 
       (220393*s[8])/57024 - (74165*s[9])/5184 + (2437*s[10])/2592 - 
       (689875*s[11])/38016 - (911909*s[12])/38016 - (6163*s[13])/594 + 
       (73523*s[14])/9504 - (24461*s[15])/1728 - (51043*s[16])/2376 - 
       (234055*s[17])/38016 - (199255*s[18])/15552 + (146809*s[19])/15552 - 
       (2225329*s[20])/85536 - (1093297*s[21])/85536 + 
       (1567663*s[22])/171072 + (3092831*s[23])/38016 - 
       (1364401*s[24])/342144 - (74327845*s[25])/3079296 + 
       (45897961*s[26])/3079296 + s[37]/2 - (5*s[38])/18 - (11*s[39])/2 + 
       (11*s[40])/2 - (1921*s[41])/288 + (3071*s[42])/288 - (391*s[43])/792 + 
       (1117*s[44])/1584 + (413*s[45])/528 - (1699*s[46])/99 + 
       (72895*s[47])/9504 - (126029*s[48])/9504 + (34997*s[49])/9504 + 
       (1051*s[50])/88 + (7583*s[51])/1056 + (19967*s[52])/2376 - 
       (9193*s[53])/1188 + (403*s[54])/33 - (30971*s[55])/1056 - 
       (35975*s[56])/1584 + (677621*s[57])/4752 - (1871653*s[58])/28512 + 
       (731051*s[59])/14256 + (780191*s[60])/28512 - (247457*s[61])/19008 - 
       5*s[82]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - w]*
      ((-119*s[4])/6 + (291*s[5])/44 + (883*s[6])/66 - (16195*s[7])/198 + 
       (1495*s[8])/66 + 59*s[9] + (49*s[10])/4 + (7527*s[11])/88 + 
       (29377*s[12])/264 + (19177*s[13])/396 - (12217*s[14])/132 + 
       (1633*s[15])/12 + (25559*s[16])/198 + (52573*s[17])/792 - 
       (157*s[18])/54 + (4643*s[19])/108 + (60943*s[20])/594 - 
       (2204*s[21])/297 - (3967*s[22])/99 - (171883*s[23])/792 - 
       (71867*s[24])/792 + (405553*s[25])/2673 - (181835*s[26])/5346 + 
       (7*s[37])/3 + s[38]/2 + (107*s[39])/12 - (103*s[40])/12 + 
       (115*s[41])/12 - (187*s[42])/12 + (343*s[43])/132 + (201*s[44])/88 - 
       (2753*s[45])/132 + (7351*s[46])/66 - (6101*s[47])/792 + 
       (27097*s[48])/792 + (10691*s[49])/792 - (3629*s[50])/33 - 
       (547*s[51])/88 - (5197*s[52])/792 + (16675*s[53])/198 + 
       (437*s[54])/33 + (414995*s[55])/792 + (7241*s[56])/88 + 
       (423*s[57])/22 + (351115*s[58])/2376 - (411331*s[59])/2376 - 
       (3971075*s[60])/4752 + (629329*s[61])/10692 - 5*s[82]) + 
     HPL[{1}, 1 - w]^4*HPL[{0, 1, 1}, 1 - v]*(s[2]/24 - (587*s[4])/36 - 
       (1127*s[5])/72 - (5503*s[6])/192 - (154435*s[7])/576 + 
       (140461*s[8])/5184 + (1180195*s[9])/5184 + (159877*s[10])/2592 + 
       (980671*s[11])/3456 + (1051817*s[12])/3456 + (35779*s[13])/216 + 
       (21037*s[14])/864 + (650635*s[15])/1728 + (12089*s[16])/27 + 
       (1200547*s[17])/3456 + (1203473*s[18])/15552 + (126769*s[19])/15552 + 
       (4162693*s[20])/7776 + (1756873*s[21])/7776 - (2173459*s[22])/15552 - 
       (1612571*s[23])/3456 - (7555115*s[24])/31104 + 
       (98671177*s[25])/279936 - (62337853*s[26])/279936 - (25*s[38])/9 + 
       (118*s[39])/3 - (118*s[40])/3 + (12119*s[41])/288 - 
       (17953*s[42])/288 - (1625*s[43])/72 + (3491*s[44])/144 - 
       (391*s[45])/12 + (5345*s[46])/18 - (22687*s[47])/864 + 
       (29213*s[48])/864 + (88675*s[49])/864 - (1747*s[50])/8 - 
       (9485*s[51])/288 - (3691*s[52])/108 + (9089*s[53])/54 - 
       (134*s[54])/3 + (296705*s[55])/288 + (43001*s[56])/144 - 
       (192815*s[57])/432 + (1358737*s[58])/2592 - (683051*s[59])/1296 - 
       (5440703*s[60])/2592 + (767963*s[61])/5184 - 5*s[82]) + 
     HPL[{1}, 1 - u]^4*HPL[{0, 1, 1}, 1 - w]*((5*s[3])/3 + (4725*s[5])/176 + 
       (60707*s[6])/2112 + (203041*s[7])/792 - (231973*s[8])/19008 - 
       (395045*s[9])/1728 - (39679*s[10])/432 - (3111997*s[11])/12672 - 
       (2764967*s[12])/12672 - (59075*s[13])/528 - (363937*s[14])/3168 - 
       (30811*s[15])/72 - (980875*s[16])/2112 - (5963501*s[17])/12672 - 
       (357817*s[18])/5184 - (118331*s[19])/5184 - (17089009*s[20])/28512 - 
       (7769149*s[21])/28512 + (7488895*s[22])/57024 + (302539*s[23])/1408 + 
       (30325439*s[24])/114048 - (274769953*s[25])/1026432 + 
       (221322517*s[26])/1026432 + (2*s[37])/3 + (25*s[38])/12 - 
       (121*s[39])/6 + (121*s[40])/6 - (1555*s[41])/96 + (1093*s[42])/32 + 
       (6797*s[43])/264 - (45569*s[44])/2112 + (3537*s[45])/88 - 
       (68005*s[46])/264 + (5581*s[47])/704 - (6181*s[48])/2112 - 
       (73701*s[49])/704 + (9005*s[50])/44 + (125159*s[51])/6336 + 
       (6133*s[52])/704 - (187457*s[53])/1056 + (83*s[54])/22 - 
       (7135883*s[55])/6336 - (530383*s[56])/2112 - (237283*s[57])/1584 - 
       (5661349*s[58])/19008 + (7205731*s[59])/19008 + 
       (27409399*s[60])/12672 - (20561353*s[61])/171072 - (9*s[82])/2) + 
     HPL[{1}, 1 - v]^4*HPL[{0, 0, 1}, 1 - v]*((-207*s[5])/44 + 
       (1945*s[6])/132 + (97937*s[7])/792 - (1852*s[8])/297 - 
       (5335*s[9])/54 - (1072*s[10])/27 - (27703*s[11])/198 - 
       (32867*s[12])/198 - (31729*s[13])/396 - (27911*s[14])/396 - 
       (1043*s[15])/8 - (157847*s[16])/792 - (1495*s[17])/11 - 
       (11467*s[18])/324 - (1397*s[19])/324 - (275348*s[20])/891 - 
       (105695*s[21])/891 + (112715*s[22])/1782 + (38719*s[23])/792 + 
       (1021373*s[24])/7128 - (4955399*s[25])/32076 + (3683987*s[26])/32076 + 
       (8*s[37])/3 + (32*s[38])/3 - (77*s[39])/12 + (77*s[40])/12 - 
       (101*s[41])/12 + s[42]/4 + (1321*s[43])/44 - (831*s[44])/44 + 
       (785*s[45])/44 - (8009*s[46])/66 - (5189*s[47])/396 + 
       (5641*s[48])/99 - (8860*s[49])/99 + (820*s[50])/11 + 
       (1555*s[51])/132 + (569*s[52])/99 - (18527*s[53])/396 + 
       (1376*s[54])/33 - (158759*s[55])/396 - (1580*s[56])/11 - 
       (20957*s[57])/99 - (66479*s[58])/594 + (33004*s[59])/297 + 
       (3068215*s[60])/2376 - (154711*s[61])/3564 - 4*s[82]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 1}, 1 - v]*((-207*s[5])/44 + 
       (1945*s[6])/132 + (97937*s[7])/792 - (1852*s[8])/297 - 
       (5335*s[9])/54 - (1072*s[10])/27 - (27703*s[11])/198 - 
       (32867*s[12])/198 - (31729*s[13])/396 - (27911*s[14])/396 - 
       (1043*s[15])/8 - (157847*s[16])/792 - (1495*s[17])/11 - 
       (11467*s[18])/324 - (1397*s[19])/324 - (275348*s[20])/891 - 
       (105695*s[21])/891 + (112715*s[22])/1782 + (38719*s[23])/792 + 
       (1021373*s[24])/7128 - (4955399*s[25])/32076 + (3683987*s[26])/32076 + 
       (8*s[37])/3 + (32*s[38])/3 - (77*s[39])/12 + (77*s[40])/12 - 
       (101*s[41])/12 + s[42]/4 + (1321*s[43])/44 - (831*s[44])/44 + 
       (785*s[45])/44 - (8009*s[46])/66 - (5189*s[47])/396 + 
       (5641*s[48])/99 - (8860*s[49])/99 + (820*s[50])/11 + 
       (1555*s[51])/132 + (569*s[52])/99 - (18527*s[53])/396 + 
       (1376*s[54])/33 - (158759*s[55])/396 - (1580*s[56])/11 - 
       (20957*s[57])/99 - (66479*s[58])/594 + (33004*s[59])/297 + 
       (3068215*s[60])/2376 - (154711*s[61])/3564 - 4*s[82]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 1}, 1 - u]*((-37*s[5])/44 + 
       (763*s[6])/132 + (35291*s[7])/792 - (619*s[8])/297 - (1915*s[9])/54 - 
       (379*s[10])/27 - (4703*s[11])/99 - (5215*s[12])/99 - 
       (10231*s[13])/396 - (10541*s[14])/396 - (1315*s[15])/24 - 
       (57701*s[16])/792 - (3895*s[17])/66 - (3493*s[18])/324 - 
       (1055*s[19])/324 - (96995*s[20])/891 - (38222*s[21])/891 + 
       (39131*s[22])/1782 + (11497*s[23])/792 + (359027*s[24])/7128 - 
       (1681541*s[25])/32076 + (1299509*s[26])/32076 + (8*s[37])/3 + 
       (8*s[38])/3 - (11*s[39])/12 + (11*s[40])/12 - (35*s[41])/12 - 
       s[42]/4 + (383*s[43])/44 - (197*s[44])/44 + (311*s[45])/44 - 
       (2891*s[46])/66 - (1271*s[47])/396 + (1423*s[48])/99 - 
       (2212*s[49])/99 + (318*s[50])/11 + (509*s[51])/132 + (215*s[52])/99 - 
       (8453*s[53])/396 + (614*s[54])/33 - (67229*s[55])/396 - 
       (1729*s[56])/33 - (9269*s[57])/99 - (22307*s[58])/594 + 
       (11872*s[59])/297 + (1038133*s[60])/2376 - (2525*s[61])/132 - 
       4*s[82]) + HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 1}, 1 - w]*
      ((8*s[5])/11 + (322*s[6])/33 + (1933*s[7])/99 + (2*s[8])/297 - 
       (404*s[9])/27 + (26*s[10])/27 - (2669*s[11])/99 - (3919*s[12])/99 - 
       (2011*s[13])/99 - (1985*s[14])/99 + (5*s[15])/3 - (2392*s[16])/99 + 
       (136*s[17])/33 - (1582*s[18])/81 + (1660*s[19])/81 - 
       (48314*s[20])/891 - (29339*s[21])/891 + (9202*s[22])/891 + 
       (6719*s[23])/99 + (2917*s[24])/891 - (405499*s[25])/16038 + 
       (459913*s[26])/16038 + (8*s[38])/3 - (20*s[39])/3 + (20*s[40])/3 - 
       (20*s[41])/3 + 8*s[42] + (92*s[43])/11 - (90*s[44])/11 - 
       (28*s[45])/11 - (580*s[46])/33 - (131*s[47])/99 + (1387*s[48])/99 - 
       (2401*s[49])/99 - (58*s[50])/11 + (181*s[51])/33 + (755*s[52])/99 + 
       (868*s[53])/99 + (764*s[54])/33 + (4933*s[55])/99 - (409*s[56])/11 + 
       (15808*s[57])/99 - (20101*s[58])/297 + (14353*s[59])/297 + 
       (59263*s[60])/594 - (11045*s[61])/1782 - 4*s[82]) + 
     HPL[{1}, 1 - u]^5*HPL[{0, 1}, 1 - u]*((167*s[5])/528 + (17*s[6])/1056 + 
       (7*s[7])/176 + (3557*s[8])/9504 + (613*s[9])/864 - (761*s[10])/432 + 
       (13139*s[11])/6336 + (36145*s[12])/6336 + (3169*s[13])/792 + 
       (2789*s[14])/1584 - (301*s[15])/36 - (8183*s[16])/3168 - 
       (62905*s[17])/6336 + (3761*s[18])/2592 - (8327*s[19])/2592 + 
       (28103*s[20])/14256 + (8095*s[21])/7128 - (18941*s[22])/28512 - 
       (2461*s[23])/6336 + (92639*s[24])/57024 + (490841*s[25])/513216 - 
       (527741*s[26])/513216 + (3*s[37])/4 + (71*s[39])/48 - (71*s[40])/48 + 
       (8*s[41])/3 - (25*s[42])/24 - (241*s[43])/528 + (27*s[44])/44 + 
       (1115*s[45])/528 + (17*s[46])/88 + (463*s[47])/1584 + 
       (227*s[48])/198 + (1091*s[49])/396 + (281*s[50])/132 + 
       (1325*s[51])/528 - (1951*s[52])/1584 - (7019*s[53])/1584 - 
       (91*s[54])/22 - (42983*s[55])/1584 - (215*s[56])/528 - 
       (3305*s[57])/66 + (36419*s[58])/2376 - (34729*s[59])/4752 + 
       (65519*s[60])/4752 - (26711*s[61])/85536 - 3*s[82]) + 
     HPL[{1}, 1 - w]^5*HPL[{0, 1}, 1 - w]*(s[1]/120 - (121*s[4])/12 + 
       (167*s[5])/528 - (1637*s[6])/352 - (79631*s[7])/1056 + 
       (120971*s[8])/9504 + (51319*s[9])/864 + (313*s[10])/27 + 
       (541535*s[11])/6336 + (655357*s[12])/6336 + (94745*s[13])/1584 - 
       (22547*s[14])/792 + (27907*s[15])/288 + (190493*s[16])/1584 + 
       (439487*s[17])/6336 + (31517*s[18])/2592 + (33847*s[19])/2592 + 
       (1701995*s[20])/14256 + (506339*s[21])/14256 - (1115861*s[22])/28512 - 
       (1038991*s[23])/6336 - (4281775*s[24])/57024 + 
       (63681947*s[25])/513216 - (28470887*s[26])/513216 - (5*s[38])/3 + 
       (217*s[39])/16 - (217*s[40])/16 + (161*s[41])/12 - (497*s[42])/24 - 
       (3673*s[43])/528 + (9349*s[44])/1056 - (1755*s[45])/176 + 
       (24515*s[46])/264 - (24385*s[47])/3168 + (37325*s[48])/3168 + 
       (117067*s[49])/3168 - (3111*s[50])/44 - (10957*s[51])/1056 - 
       (32843*s[52])/3168 + (20875*s[53])/396 - (40*s[54])/11 + 
       (333505*s[55])/1056 + (85909*s[56])/1056 - (127231*s[57])/792 + 
       (1601647*s[58])/9504 - (1630765*s[59])/9504 - (12622741*s[60])/19008 + 
       (1220383*s[61])/28512 - 3*s[82]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 0, 1}, 1 - v]*((203*s[5])/22 - (119*s[6])/22 - 
       (14701*s[7])/44 + (4273*s[8])/198 + (4985*s[9])/18 + (1274*s[10])/9 + 
       (45307*s[11])/132 + (11615*s[12])/33 + (22021*s[13])/132 + 
       (18961*s[14])/132 + (5965*s[15])/12 + (38339*s[16])/66 + 
       (70075*s[17])/132 + (842*s[18])/27 + (2980*s[19])/27 + 
       (237460*s[20])/297 + (308353*s[21])/1188 - (198377*s[22])/1188 + 
       (3886*s[23])/33 - (275743*s[24])/594 + (4254697*s[25])/10692 - 
       (2717515*s[26])/10692 - 7*s[37] - 18*s[38] - (17*s[39])/2 + 
       (17*s[40])/2 - (5*s[41])/2 + (59*s[42])/2 - (1147*s[43])/22 + 
       (229*s[44])/11 - (1629*s[45])/22 + (3708*s[46])/11 + (1933*s[47])/66 - 
       (6251*s[48])/66 + (10679*s[49])/66 - (3204*s[50])/11 - 
       (413*s[51])/33 + (490*s[52])/33 + (7322*s[53])/33 - (299*s[54])/11 + 
       (111437*s[55])/66 + (3452*s[56])/11 + (45929*s[57])/33 + 
       (8971*s[58])/99 - (19027*s[59])/99 - (1502849*s[60])/396 + 
       (160999*s[61])/1188 - 3*s[82]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*((5*s[3])/2 - s[4] + (755*s[5])/88 - 
       (12121*s[6])/792 + (2219*s[7])/594 + (4639*s[8])/7128 - 
       (7549*s[9])/648 - (1847*s[10])/648 + (269*s[11])/2376 + 
       (19117*s[12])/2376 + (34973*s[13])/1188 + (12145*s[14])/1188 - 
       (283*s[15])/8 - (15383*s[16])/594 - (4753*s[17])/132 - 
       (33773*s[18])/1944 + (8527*s[19])/972 - (352433*s[20])/10692 - 
       (612367*s[21])/21384 + (62041*s[22])/10692 + (162323*s[23])/1188 - 
       (49763*s[24])/2673 + (6125887*s[25])/384912 + (113345*s[26])/384912 + 
       (71*s[37])/9 + (11*s[38])/9 - (613*s[39])/72 + (649*s[40])/72 - 
       (457*s[41])/72 + (401*s[42])/24 - (1183*s[43])/264 + 
       (1535*s[44])/528 - (827*s[45])/264 + (479*s[46])/396 + 
       (49585*s[47])/4752 - (109277*s[48])/4752 - (10375*s[49])/4752 + 
       (679*s[50])/66 + (13801*s[51])/1584 + (21077*s[52])/4752 - 
       (14687*s[53])/1188 - (3383*s[54])/198 - (37151*s[55])/4752 + 
       (6815*s[56])/528 + (63586*s[57])/297 - (796663*s[58])/14256 + 
       (935743*s[59])/14256 - (3037745*s[60])/28512 + (14551*s[61])/21384 - 
       (7*s[82])/3) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*(-2*s[3] + (155*s[5])/22 + (11797*s[6])/396 - 
       (238511*s[7])/4752 + (36853*s[8])/7128 + (22139*s[9])/648 + 
       (26731*s[10])/648 + (73607*s[11])/2376 + (13531*s[12])/2376 - 
       (52775*s[13])/2376 + (1967*s[14])/2376 + (7735*s[15])/48 + 
       (519713*s[16])/4752 + (10841*s[17])/66 - (36973*s[18])/972 + 
       (163373*s[19])/1944 + (1309807*s[20])/10692 + (60299*s[21])/21384 - 
       (52286*s[22])/2673 + (812927*s[23])/4752 - (5307527*s[24])/42768 + 
       (17352535*s[25])/384912 - (2114311*s[26])/384912 + (3*s[35])/2 - 
       s[36] - (37*s[37])/9 + (11*s[38])/9 - (499*s[39])/18 + (254*s[40])/9 - 
       (173*s[41])/9 + (245*s[42])/6 + (755*s[43])/66 - (10445*s[44])/528 - 
       (1075*s[45])/33 + (4976*s[46])/99 + (46357*s[47])/4752 + 
       (38965*s[48])/4752 - (211033*s[49])/4752 - (2067*s[50])/22 + 
       (19045*s[51])/1584 + (122891*s[52])/4752 + (216935*s[53])/2376 + 
       (721*s[54])/198 + (3364321*s[55])/4752 + (7907*s[56])/176 + 
       (292693*s[57])/297 - (2502589*s[58])/14256 + (1331665*s[59])/14256 - 
       (24526385*s[60])/28512 + (203473*s[61])/5346 - (7*s[82])/3) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      (4*s[3] + (511*s[5])/44 - (202*s[6])/33 + (16262*s[7])/99 - 
       (2071*s[8])/198 - (2519*s[9])/18 - (3017*s[10])/36 - 
       (39151*s[11])/264 - (10191*s[12])/88 - (10481*s[13])/198 - 
       (502*s[14])/11 - (12317*s[15])/36 - (128875*s[16])/396 - 
       (295291*s[17])/792 + (19*s[18])/3 - (3245*s[19])/36 - 
       (12494*s[20])/33 - (146459*s[21])/1188 + (96749*s[22])/1188 - 
       (30599*s[23])/792 + (579391*s[24])/2376 - (489407*s[25])/2673 + 
       (264839*s[26])/2673 + (53*s[37])/9 + 5*s[38] + (11*s[39])/4 - 
       (11*s[40])/4 + (209*s[41])/12 - (85*s[42])/12 + (2477*s[43])/132 - 
       (1685*s[44])/264 + (1847*s[45])/44 - (10931*s[46])/66 - 
       (12349*s[47])/792 + (22565*s[48])/792 - (76913*s[49])/792 + 
       (3803*s[50])/22 - (6419*s[51])/792 - (21785*s[52])/792 - 
       (15758*s[53])/99 - (848*s[54])/11 - (821713*s[55])/792 - 
       (26501*s[56])/264 - (78820*s[57])/99 + (6745*s[58])/792 + 
       (116623*s[59])/792 + (9097673*s[60])/4752 - (647441*s[61])/10692 - 
       2*s[82]) + HPL[{1}, 1 - v]^2*M1[v, w, u]*((317*s[5])/88 + 
       (1861*s[6])/264 + (100877*s[7])/1584 - (4403*s[8])/1188 - 
       (1492*s[9])/27 - (2375*s[10])/108 - (6310*s[11])/99 - 
       (49249*s[12])/792 - (3485*s[13])/99 - (11713*s[14])/396 - 
       (1371*s[15])/16 - (170129*s[16])/1584 - (1095*s[17])/11 - 
       (13027*s[18])/648 - (1223*s[19])/648 - (249605*s[20])/1782 - 
       (448805*s[21])/7128 + (227143*s[22])/7128 + (85603*s[23])/1584 + 
       (867965*s[24])/14256 - (1077533*s[25])/16038 + (1685437*s[26])/32076 + 
       (4*s[37])/3 + (4*s[38])/3 - (131*s[39])/24 + (131*s[40])/24 - 
       (161*s[41])/24 + (101*s[42])/8 + (615*s[43])/88 - (401*s[44])/88 + 
       (579*s[45])/88 - (8381*s[46])/132 + (3517*s[47])/792 + 
       (122*s[48])/99 - (3823*s[49])/198 + (2155*s[50])/44 + 
       (1139*s[51])/88 + (832*s[52])/99 - (28289*s[53])/792 + 
       (1385*s[54])/66 - (181163*s[55])/792 - (3253*s[56])/44 + 
       (2201*s[57])/99 - (28043*s[58])/297 + (108749*s[59])/1188 + 
       (2325349*s[60])/4752 - (20431*s[61])/594 - 2*s[82]) + 
     HPL[{1}, 1 - v]^2*M1[v, u, w]*(-2*s[3] + (105*s[5])/44 + 
       (1009*s[6])/66 + (11311*s[7])/198 - (2587*s[8])/594 - (1342*s[9])/27 - 
       (1625*s[10])/108 - (24703*s[11])/396 - (52447*s[12])/792 - 
       (34273*s[13])/792 - (26699*s[14])/792 - (671*s[15])/12 - 
       (71095*s[16])/792 - (3057*s[17])/44 - (1865*s[18])/81 + 
       (1657*s[19])/162 - (434881*s[20])/3564 - (385883*s[21])/7128 + 
       (212485*s[22])/7128 + (10397*s[23])/198 + (162653*s[24])/3564 - 
       (4385765*s[25])/64152 + (3263177*s[26])/64152 + (4*s[38])/3 - 
       (25*s[39])/3 + (25*s[40])/3 - (103*s[41])/12 + (67*s[42])/4 + 
       (108*s[43])/11 - (575*s[44])/88 + (39*s[45])/22 - (3721*s[46])/66 + 
       (4627*s[47])/792 + (5551*s[48])/792 - (19183*s[49])/792 + 
       (1535*s[50])/44 + (4435*s[51])/264 + (9641*s[52])/792 - 
       (6961*s[53])/396 + (1799*s[54])/66 - (80111*s[55])/792 - 
       (6097*s[56])/88 + (56021*s[57])/396 - (268417*s[58])/2376 + 
       (197293*s[59])/2376 + (1844401*s[60])/4752 - (36109*s[61])/1188 - 
       2*s[82]) + HPL[{1}, 1 - v]^3*Omega2[u, v, w]*
      ((-69*s[5])/22 + (355*s[6])/66 + (29441*s[7])/396 - (2473*s[8])/594 - 
       (3221*s[9])/54 - (1477*s[10])/54 - (31771*s[11])/396 - 
       (35459*s[12])/396 - (8479*s[13])/198 - (3814*s[14])/99 - 
       (1121*s[15])/12 - (49103*s[16])/396 - (4379*s[17])/44 - 
       (1079*s[18])/81 - (2273*s[19])/162 - (324029*s[20])/1782 - 
       (57289*s[21])/891 + (66325*s[22])/1782 - (221*s[23])/99 + 
       (169633*s[24])/1782 - (1457129*s[25])/16038 + (1016561*s[26])/16038 + 
       (8*s[37])/3 + (16*s[38])/3 - s[39]/3 + s[40]/3 - (7*s[41])/3 - 
       4*s[42] + (167*s[43])/11 - (167*s[44])/22 + (151*s[45])/11 - 
       (2435*s[46])/33 - (742*s[47])/99 + (5677*s[48])/198 - 
       (8671*s[49])/198 + (598*s[50])/11 + (335*s[51])/66 + (29*s[52])/198 - 
       (7613*s[53])/198 + (613*s[54])/33 - (30715*s[55])/99 - 
       (881*s[56])/11 - (23017*s[57])/99 - (12146*s[58])/297 + 
       (30523*s[59])/594 + (241831*s[60])/297 - (100541*s[61])/3564 - 
       2*s[82]) + HPL[{1}, 1 - v]^3*Omega2[v, w, u]*
      ((-69*s[5])/44 + (1235*s[6])/132 + (39055*s[7])/792 - (1231*s[8])/594 - 
       (1057*s[9])/27 - (667*s[10])/54 - (23635*s[11])/396 - 
       (30275*s[12])/396 - (14771*s[13])/396 - (12655*s[14])/396 - 
       (887*s[15])/24 - (59641*s[16])/792 - (1601*s[17])/44 - 
       (7151*s[18])/324 + (3149*s[19])/324 - (226667*s[20])/1782 - 
       (48406*s[21])/891 + (23195*s[22])/891 + (40487*s[23])/792 + 
       (342841*s[24])/7128 - (2041141*s[25])/32076 + (1650865*s[26])/32076 + 
       (16*s[38])/3 - (73*s[39])/12 + (73*s[40])/12 - (73*s[41])/12 + 
       (17*s[42])/4 + (653*s[43])/44 - (497*s[44])/44 + (181*s[45])/44 - 
       (3139*s[46])/66 - (2221*s[47])/396 + (5605*s[48])/198 - 
       (9049*s[49])/198 + (222*s[50])/11 + (295*s[51])/44 + 
       (1109*s[52])/198 - (3301*s[53])/396 + (763*s[54])/33 - 
       (35899*s[55])/396 - (699*s[56])/11 + (2060*s[57])/99 - 
       (42187*s[58])/594 + (35485*s[59])/594 + (1133567*s[60])/2376 - 
       (27085*s[61])/1782 - 2*s[82]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*((-521*s[5])/88 + (631*s[6])/264 + 
       (88223*s[7])/1584 - (1019*s[8])/297 - (4495*s[9])/108 - 
       (584*s[10])/27 - (24685*s[11])/396 - (29603*s[12])/396 - 
       (25411*s[13])/792 - (25061*s[14])/792 - (3223*s[15])/48 - 
       (151025*s[16])/1584 - (4703*s[17])/66 - (4201*s[18])/648 - 
       (9815*s[19])/648 - (128275*s[20])/891 - (41815*s[21])/891 + 
       (99191*s[22])/3564 - (21239*s[23])/1584 + (1169507*s[24])/14256 - 
       (4600325*s[25])/64152 + (3169289*s[26])/64152 + 2*s[37] + 
       (41*s[38])/6 + (49*s[39])/24 - (49*s[40])/24 - (11*s[41])/24 - 
       (73*s[42])/8 + (1483*s[43])/88 - (747*s[44])/88 + (927*s[45])/88 - 
       (7247*s[46])/132 - (7277*s[47])/792 + (15287*s[48])/396 - 
       (18647*s[49])/396 + (423*s[50])/11 + (397*s[51])/88 - 
       (1517*s[52])/396 - (20993*s[53])/792 + (505*s[54])/33 - 
       (187811*s[55])/792 - (2557*s[56])/44 - (26926*s[57])/99 - 
       (1394*s[58])/297 + (19685*s[59])/1188 + (3433867*s[60])/4752 - 
       (97523*s[61])/7128 - 2*s[82]) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((-171*s[5])/44 + (61*s[6])/132 + 
       (13931*s[7])/396 - (365*s[8])/132 - (111*s[9])/4 - (59*s[10])/4 - 
       (783*s[11])/22 - (464*s[12])/11 - (4079*s[13])/198 - (1087*s[14])/66 - 
       (793*s[15])/18 - (21889*s[16])/396 - (17873*s[17])/396 + 
       (29*s[18])/108 - (811*s[19])/54 - (50113*s[20])/594 - 
       (26779*s[21])/1188 + (3341*s[22])/198 - (8615*s[23])/198 + 
       (10889*s[24])/198 - (943595*s[25])/21384 + (578195*s[26])/21384 + 
       (2*s[37])/3 + (8*s[38])/3 + (41*s[39])/12 - (41*s[40])/12 + 
       (3*s[41])/4 - (83*s[42])/12 + (937*s[43])/132 - (327*s[44])/88 + 
       (395*s[45])/44 - (791*s[46])/22 - (4561*s[47])/792 + 
       (11345*s[48])/792 - (12101*s[49])/792 + (1046*s[50])/33 + 
       (1721*s[51])/792 - (1193*s[52])/792 - (2162*s[53])/99 + 
       (98*s[54])/11 - (48991*s[55])/264 - (9209*s[56])/264 - 
       (14263*s[57])/66 + (12095*s[58])/2376 + (5965*s[59])/2376 + 
       (2131505*s[60])/4752 - (133147*s[61])/10692 - 2*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - v]*
      ((-51*s[5])/22 + (293*s[6])/66 + (3155*s[7])/264 + (629*s[8])/1188 - 
       (653*s[9])/108 - (103*s[10])/108 - (1847*s[11])/99 - 
       (5045*s[12])/198 - (4409*s[13])/396 - (5351*s[14])/396 - 
       (17*s[15])/72 - (15223*s[16])/792 - (1451*s[17])/396 - 
       (631*s[18])/81 + (2215*s[19])/324 - (60325*s[20])/1782 - 
       (62603*s[21])/3564 + (10541*s[22])/1782 + (23789*s[23])/792 + 
       (57743*s[24])/7128 - (1151629*s[25])/64152 + (1125853*s[26])/64152 + 
       (2*s[37])/9 + (8*s[38])/3 - (7*s[39])/3 + (7*s[40])/3 - 3*s[41] + 
       (4*s[42])/3 + (223*s[43])/33 - (529*s[44])/264 - (7*s[45])/11 - 
       (107*s[46])/11 - (1637*s[47])/792 + (12487*s[48])/792 - 
       (14779*s[49])/792 - (82*s[50])/33 + (205*s[51])/88 + 
       (1697*s[52])/792 + (1847*s[53])/396 + (466*s[54])/33 + 
       (10603*s[55])/792 - (6359*s[56])/264 + (5935*s[57])/198 - 
       (54403*s[58])/2376 + (36307*s[59])/2376 + (535393*s[60])/4752 - 
       (11053*s[61])/5346 - 2*s[82]) + HPL[{1}, 1 - v]^3*Omega2[w, u, v]*
      ((101*s[5])/44 + (53*s[6])/132 - (23591*s[7])/792 + (1235*s[8])/594 + 
       (653*s[9])/27 + (719*s[10])/54 + (12959*s[11])/396 + 
       (14599*s[12])/396 + (6727*s[13])/396 + (4715*s[14])/396 + 
       (309*s[15])/8 + (40505*s[16])/792 + (5347*s[17])/132 + 
       (823*s[18])/324 + (3491*s[19])/324 + (130039*s[20])/1782 + 
       (19067*s[21])/891 - (13597*s[22])/891 + (13265*s[23])/792 - 
       (319505*s[24])/7128 + (1232717*s[25])/32076 - (733613*s[26])/32076 - 
       (8*s[38])/3 - (7*s[39])/12 + (7*s[40])/12 - (7*s[41])/12 + 
       (15*s[42])/4 - (285*s[43])/44 + (137*s[44])/44 - (293*s[45])/44 + 
       (1979*s[46])/66 + (1697*s[47])/396 - (2831*s[48])/198 + 
       (4247*s[49])/198 - (280*s[50])/11 - (161*s[51])/132 + 
       (401*s[52])/198 + (6773*s[53])/396 + s[54]/33 + (55631*s[55])/396 + 
       (290*s[56])/11 + (13748*s[57])/99 + (1985*s[58])/594 - 
       (6779*s[59])/594 - (896515*s[60])/2376 + (16183*s[61])/1782 - 
       2*s[82]) + HPL[{1}, 1 - v]^4*HPL[{0, 1, 1}, 1 - u]*
      ((-437*s[5])/176 + (6745*s[6])/1584 + (1136347*s[7])/19008 - 
       (76385*s[8])/28512 - (120799*s[9])/2592 - (57725*s[10])/2592 - 
       (310619*s[11])/4752 - (164033*s[12])/2376 - (296495*s[13])/9504 - 
       (307453*s[14])/9504 - (15443*s[15])/192 - (1989037*s[16])/19008 - 
       (94927*s[17])/1056 - (20255*s[18])/1944 - (92155*s[19])/7776 - 
       (6256673*s[20])/42768 - (4533913*s[21])/85536 + (637793*s[22])/21384 + 
       (176123*s[23])/19008 + (12909697*s[24])/171072 - 
       (111350687*s[25])/1539648 + (78257183*s[26])/1539648 + 
       (107*s[37])/36 + (38*s[38])/9 - (19*s[39])/72 + (19*s[40])/72 - 
       (133*s[41])/72 - (19*s[42])/6 + (3173*s[43])/264 - (6829*s[44])/2112 + 
       (2869*s[45])/264 - (46265*s[46])/792 - (95195*s[47])/19008 + 
       (449041*s[48])/19008 - (660349*s[49])/19008 + (5681*s[50])/132 + 
       (25009*s[51])/6336 - (15385*s[52])/19008 - (306883*s[53])/9504 + 
       (1625*s[54])/99 - (4824275*s[55])/19008 - (137971*s[56])/2112 - 
       (892235*s[57])/4752 - (1744717*s[58])/57024 + (2331925*s[59])/57024 + 
       (73396207*s[60])/114048 - (1014259*s[61])/42768 - (19*s[82])/12) + 
     HPL[{1}, 1 - v]^4*HPL[{0, 1, 1}, 1 - w]*((-161*s[5])/88 + 
       (4685*s[6])/792 + (902899*s[7])/19008 - (86723*s[8])/28512 - 
       (101857*s[9])/2592 - (38327*s[10])/2592 - (126175*s[11])/2376 - 
       (319735*s[12])/4752 - (326039*s[13])/9504 - (246265*s[14])/9504 - 
       (2813*s[15])/64 - (1357141*s[16])/19008 - (14565*s[17])/352 - 
       (55669*s[18])/3888 - (3643*s[19])/7776 - (5082809*s[20])/42768 - 
       (3818695*s[21])/85536 + (131345*s[22])/5346 + (179243*s[23])/19008 + 
       (9517609*s[24])/171072 - (92677709*s[25])/1539648 + 
       (68622077*s[26])/1539648 - (10*s[37])/9 + (38*s[38])/9 - 
       (383*s[39])/144 + (383*s[40])/144 - (491*s[41])/144 + (13*s[42])/48 + 
       (6271*s[43])/528 - (21815*s[44])/2112 + (3623*s[45])/528 - 
       (18805*s[46])/396 - (115433*s[47])/19008 + (410983*s[48])/19008 - 
       (672763*s[49])/19008 + (1267*s[50])/44 + (30211*s[51])/6336 + 
       (62993*s[52])/19008 - (152455*s[53])/9504 + (5897*s[54])/396 - 
       (2773865*s[55])/19008 - (38431*s[56])/704 - (355517*s[57])/4752 - 
       (2663467*s[58])/57024 + (2506051*s[59])/57024 + 
       (57615421*s[60])/114048 - (664363*s[61])/42768 - (19*s[82])/12) + 
     HPL[{1}, 1 - v]^5*HPL[{0, 1}, 1 - v]*((-207*s[5])/176 + 
       (1945*s[6])/528 + (97937*s[7])/3168 - (463*s[8])/297 - 
       (5335*s[9])/216 - (268*s[10])/27 - (27703*s[11])/792 - 
       (32867*s[12])/792 - (31729*s[13])/1584 - (27911*s[14])/1584 - 
       (1043*s[15])/32 - (157847*s[16])/3168 - (1495*s[17])/44 - 
       (11467*s[18])/1296 - (1397*s[19])/1296 - (68837*s[20])/891 - 
       (105695*s[21])/3564 + (112715*s[22])/7128 + (38719*s[23])/3168 + 
       (1021373*s[24])/28512 - (4955399*s[25])/128304 + 
       (3683987*s[26])/128304 + (2*s[37])/3 + (8*s[38])/3 - (77*s[39])/48 + 
       (77*s[40])/48 - (101*s[41])/48 + s[42]/16 + (1321*s[43])/176 - 
       (831*s[44])/176 + (785*s[45])/176 - (8009*s[46])/264 - 
       (5189*s[47])/1584 + (5641*s[48])/396 - (2215*s[49])/99 + 
       (205*s[50])/11 + (1555*s[51])/528 + (569*s[52])/396 - 
       (18527*s[53])/1584 + (344*s[54])/33 - (158759*s[55])/1584 - 
       (395*s[56])/11 - (20957*s[57])/396 - (66479*s[58])/2376 + 
       (8251*s[59])/297 + (3068215*s[60])/9504 - (154711*s[61])/14256 - 
       s[82]) + HPL[{1}, 1 - v]^2*M1[u, v, w]*((-9*s[5])/88 + 
       (119*s[6])/264 + (27163*s[7])/1584 - (719*s[8])/594 - 
       (1529*s[9])/108 - (383*s[10])/54 - (3319*s[11])/198 - 
       (6115*s[12])/396 - (5417*s[13])/792 - (6571*s[14])/792 - 
       (465*s[15])/16 - (47737*s[16])/1584 - (4097*s[17])/132 - 
       (401*s[18])/648 - (4195*s[19])/648 - (36815*s[20])/891 - 
       (48689*s[21])/3564 + (14717*s[22])/1782 - (11815*s[23])/1584 + 
       (346963*s[24])/14256 - (1238323*s[25])/64152 + (814351*s[26])/64152 + 
       (4*s[37])/3 + (2*s[38])/3 + (29*s[39])/24 - (29*s[40])/24 + 
       (5*s[41])/24 - (17*s[42])/8 + (199*s[43])/88 - (17*s[44])/88 + 
       (367*s[45])/88 - (2311*s[46])/132 - (1207*s[47])/792 + 
       (340*s[48])/99 - (481*s[49])/99 + (347*s[50])/22 + (71*s[51])/88 - 
       (106*s[52])/99 - (10585*s[53])/792 + (116*s[54])/33 - 
       (77293*s[55])/792 - (174*s[56])/11 - (8504*s[57])/99 - 
       (2173*s[58])/1188 + (2191*s[59])/297 + (917033*s[60])/4752 - 
       (54083*s[61])/7128 - s[82]) + HPL[{1}, 1 - v]^2*M1[w, v, u]*
      ((-7*s[5])/22 + (161*s[6])/66 + (508*s[7])/99 + (50*s[8])/297 - 
       (193*s[9])/54 + (2*s[10])/27 - (692*s[11])/99 - (4315*s[12])/396 - 
       (2407*s[13])/396 - (1985*s[14])/396 + (5*s[15])/3 - (2491*s[16])/396 + 
       (101*s[17])/66 - (773*s[18])/162 + (785*s[19])/162 - 
       (23365*s[20])/1782 - (27755*s[21])/3564 + (9697*s[22])/3564 + 
       (1457*s[23])/99 + (754*s[24])/891 - (219827*s[25])/32076 + 
       (240797*s[26])/32076 - s[37] + (2*s[38])/3 - (5*s[39])/3 + 
       (5*s[40])/3 - (5*s[41])/3 + 2*s[42] + (23*s[43])/11 - (45*s[44])/22 - 
       (7*s[45])/11 - (145*s[46])/33 - (8*s[47])/99 + (743*s[48])/198 - 
       (625*s[49])/99 - (29*s[50])/22 + (37*s[51])/33 + (427*s[52])/198 + 
       (533*s[53])/198 + (191*s[54])/33 + (1258*s[55])/99 - (221*s[56])/22 + 
       (7739*s[57])/198 - (10067*s[58])/594 + (3745*s[59])/297 + 
       (30275*s[60])/1188 - (1712*s[61])/891 - s[82]) + 
     HPL[{1}, 1 - v]^2*Nt[u, v, w]*((101*s[5])/88 + (53*s[6])/264 - 
       (23591*s[7])/1584 + (1235*s[8])/1188 + (653*s[9])/54 + 
       (719*s[10])/108 + (12959*s[11])/792 + (14599*s[12])/792 + 
       (6727*s[13])/792 + (4715*s[14])/792 + (309*s[15])/16 + 
       (40505*s[16])/1584 + (5347*s[17])/264 + (823*s[18])/648 + 
       (3491*s[19])/648 + (130039*s[20])/3564 + (19067*s[21])/1782 - 
       (13597*s[22])/1782 + (13265*s[23])/1584 - (319505*s[24])/14256 + 
       (1232717*s[25])/64152 - (733613*s[26])/64152 - (4*s[38])/3 - 
       (7*s[39])/24 + (7*s[40])/24 - (7*s[41])/24 + (15*s[42])/8 - 
       (285*s[43])/88 + (137*s[44])/88 - (293*s[45])/88 + (1979*s[46])/132 + 
       (1697*s[47])/792 - (2831*s[48])/396 + (4247*s[49])/396 - 
       (140*s[50])/11 - (161*s[51])/264 + (401*s[52])/396 + 
       (6773*s[53])/792 + s[54]/66 + (55631*s[55])/792 + (145*s[56])/11 + 
       (6874*s[57])/99 + (1985*s[58])/1188 - (6779*s[59])/1188 - 
       (896515*s[60])/4752 + (16183*s[61])/3564 - s[82]) + 
     HPL[{1}, 1 - v]^2*Ot[u, v, w]*((155*s[5])/88 - (133*s[6])/264 - 
       (98789*s[7])/1584 + (1220*s[8])/297 + (5599*s[9])/108 + 
       (1453*s[10])/54 + (25303*s[11])/396 + (12895*s[12])/198 + 
       (24379*s[13])/792 + (20645*s[14])/792 + (1503*s[15])/16 + 
       (172487*s[16])/1584 + (1103*s[17])/11 + (3343*s[18])/648 + 
       (14093*s[19])/648 + (265553*s[20])/1782 + (169723*s[21])/3564 - 
       (27800*s[22])/891 + (39605*s[23])/1584 - (1251761*s[24])/14256 + 
       (4770041*s[25])/64152 - (3001829*s[26])/64152 - (4*s[37])/3 - 
       (10*s[38])/3 - (43*s[39])/24 + (43*s[40])/24 - (19*s[41])/24 + 
       (47*s[42])/8 - (841*s[43])/88 + (327*s[44])/88 - (1241*s[45])/88 + 
       (8321*s[46])/132 + (4385*s[47])/792 - (1733*s[48])/99 + 
       (5965*s[49])/198 - (609*s[50])/11 - (559*s[51])/264 + 
       (631*s[52])/198 + (33455*s[53])/792 - (118*s[54])/33 + 
       (254003*s[55])/792 + (1267*s[56])/22 + (53261*s[57])/198 + 
       (17069*s[58])/1188 - (10229*s[59])/297 - (3399211*s[60])/4752 + 
       (59881*s[61])/2376 - s[82]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 0, 1, 1}, 1 - v]*((431*s[5])/88 + (1967*s[6])/264 - 
       (178097*s[7])/1584 + (2462*s[8])/297 + (10027*s[9])/108 + 
       (3073*s[10])/54 + (41575*s[11])/396 + (18079*s[12])/198 + 
       (33127*s[13])/792 + (31049*s[14])/792 + (9929*s[15])/48 + 
       (326747*s[16])/1584 + (2492*s[17])/11 - (7997*s[18])/648 + 
       (44873*s[19])/648 + (460277*s[20])/1782 + (240787*s[21])/3564 - 
       (48923*s[22])/891 + (208625*s[23])/1584 - (2594525*s[24])/14256 + 
       (8243501*s[25])/64152 - (4511849*s[26])/64152 - (8*s[37])/3 - 
       (10*s[38])/3 - (319*s[39])/24 + (319*s[40])/24 - (199*s[41])/24 + 
       (179*s[42])/8 - (901*s[43])/88 - (325*s[44])/88 - (2933*s[45])/88 + 
       (15245*s[46])/132 + (7373*s[47])/792 - (1805*s[48])/99 + 
       (5209*s[49])/198 - (1361*s[50])/11 + (301*s[51])/264 + 
       (2791*s[52])/198 + (81155*s[53])/792 + (182*s[54])/33 + 
       (601847*s[55])/792 + (1995*s[56])/22 + (153569*s[57])/198 - 
       (54511*s[58])/1188 - (5267*s[59])/297 - (6603535*s[60])/4752 + 
       (13445*s[61])/264 - s[82]) + HPL[{1}, 1 - v]^5*HPL[{1}, 1 - w]^2*
      ((69*s[5])/352 - (1235*s[6])/1056 - (19313*s[7])/3168 + 
       (2891*s[8])/9504 + (4267*s[9])/864 + (1295*s[10])/864 + 
       (11603*s[11])/1584 + (1919*s[12])/198 + (7699*s[13])/1584 + 
       (6113*s[14])/1584 + (199*s[15])/48 + (28319*s[16])/3168 + 
       (1315*s[17])/352 + (7175*s[18])/2592 - (1645*s[19])/1296 + 
       (224225*s[20])/14256 + (189235*s[21])/28512 - (46159*s[22])/14256 - 
       (8843*s[23])/1584 - (85603*s[24])/14256 + (4067663*s[25])/513216 - 
       (3277607*s[26])/513216 + s[37]/6 - (2*s[38])/3 + (73*s[39])/96 - 
       (73*s[40])/96 + (73*s[41])/96 - (17*s[42])/32 - (653*s[43])/352 + 
       (1137*s[44])/704 - (181*s[45])/352 + (3139*s[46])/528 + 
       (4871*s[47])/6336 - (21991*s[48])/6336 + (36163*s[49])/6336 - 
       (111*s[50])/44 - (1781*s[51])/2112 - (4865*s[52])/6336 + 
       (359*s[53])/396 - (365*s[54])/132 + (68003*s[55])/6336 + 
       (5493*s[56])/704 - (4549*s[57])/1584 + (171223*s[58])/19008 - 
       (141643*s[59])/19008 - (2270071*s[60])/38016 + (51299*s[61])/28512 + 
       s[82]/4) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^5*
      ((69*s[5])/176 - (355*s[6])/528 - (59311*s[7])/6336 + 
       (4517*s[8])/9504 + (6403*s[9])/864 + (2993*s[10])/864 + 
       (4025*s[11])/396 + (17515*s[12])/1584 + (16331*s[13])/3168 + 
       (15685*s[14])/3168 + (2333*s[15])/192 + (101209*s[16])/6336 + 
       (4665*s[17])/352 + (1073*s[18])/648 + (4687*s[19])/2592 + 
       (326471*s[20])/14256 + (233545*s[21])/28512 - (16639*s[22])/3564 - 
       (3347*s[23])/6336 - (678961*s[24])/57024 + (5843135*s[25])/513216 - 
       (4090367*s[26])/513216 - s[37]/2 - (2*s[38])/3 + s[39]/24 - s[40]/24 + 
       (7*s[41])/24 + s[42]/2 - (167*s[43])/88 + (525*s[44])/704 - 
       (151*s[45])/88 + (2435*s[46])/264 + (5507*s[47])/6336 - 
       (23137*s[48])/6336 + (34717*s[49])/6336 - (299*s[50])/44 - 
       (443*s[51])/704 + (313*s[52])/6336 + (15655*s[53])/3168 - 
       (323*s[54])/132 + (249515*s[55])/6336 + (7147*s[56])/704 + 
       (46463*s[57])/1584 + (94693*s[58])/19008 - (122389*s[59])/19008 - 
       (3866359*s[60])/38016 + (25853*s[61])/7128 + s[82]/4) + 
     HPL[{1}, 1 - v]^4*HPL[{0, 0, 1}, 1 - u]*((115*s[5])/176 - 
       (1775*s[6])/1584 - (297413*s[7])/19008 + (21727*s[8])/28512 + 
       (31937*s[9])/2592 + (15043*s[10])/2592 + (80929*s[11])/4752 + 
       (43573*s[12])/2376 + (80401*s[13])/9504 + (79283*s[14])/9504 + 
       (3949*s[15])/192 + (512051*s[16])/19008 + (23897*s[17])/1056 + 
       (5353*s[18])/1944 + (23717*s[19])/7776 + (1637239*s[20])/42768 + 
       (1176503*s[21])/85536 - (83459*s[22])/10692 - (26965*s[23])/19008 - 
       (3395663*s[24])/171072 + (29247289*s[25])/1539648 - 
       (20502457*s[26])/1539648 - (7*s[37])/9 - (10*s[38])/9 + (5*s[39])/72 - 
       (5*s[40])/72 + (35*s[41])/72 + (5*s[42])/6 - (835*s[43])/264 + 
       (2339*s[44])/2112 - (755*s[45])/264 + (12175*s[46])/792 + 
       (26677*s[47])/19008 - (116543*s[48])/19008 + (173651*s[49])/19008 - 
       (1495*s[50])/132 - (6623*s[51])/6336 + (2423*s[52])/19008 + 
       (79133*s[53])/9504 - (412*s[54])/99 + (1255165*s[55])/19008 + 
       (35933*s[56])/2112 + (233173*s[57])/4752 + (468515*s[58])/57024 - 
       (612539*s[59])/57024 - (19325921*s[60])/114048 + 
       (261467*s[61])/42768 + (5*s[82])/12) + HPL[{1}, 1 - v]^4*
      HPL[{0, 0, 1}, 1 - w]*((115*s[5])/88 + (425*s[6])/792 - 
       (489677*s[7])/19008 + (52573*s[8])/28512 + (54623*s[9])/2592 + 
       (30697*s[10])/2592 + (59303*s[11])/2376 + (116069*s[12])/4752 + 
       (111049*s[13])/9504 + (99287*s[14])/9504 + (8041*s[15])/192 + 
       (855659*s[16])/19008 + (15891*s[17])/352 - (3301*s[18])/3888 + 
       (98693*s[19])/7776 + (2576671*s[20])/42768 + (1470377*s[21])/85536 - 
       (548663*s[22])/42768 + (467195*s[23])/19008 - (6746567*s[24])/171072 + 
       (46308943*s[25])/1539648 - (27613855*s[26])/1539648 - (11*s[37])/18 - 
       (10*s[38])/9 - (335*s[39])/144 + (335*s[40])/144 - (155*s[41])/144 + 
       (205*s[42])/48 - (1745*s[43])/528 + (1081*s[44])/2112 - 
       (3625*s[45])/528 + (10415*s[46])/396 + (47623*s[47])/19008 - 
       (113417*s[48])/19008 + (158069*s[49])/19008 - (1125*s[50])/44 - 
       (2477*s[51])/6336 + (39617*s[52])/19008 + (192377*s[53])/9504 - 
       (667*s[54])/396 + (2941255*s[55])/19008 + (16369*s[56])/704 + 
       (728707*s[57])/4752 - (212635*s[58])/57024 - (409901*s[59])/57024 - 
       (35388659*s[60])/114048 + (116945*s[61])/10692 + (5*s[82])/12) + 
     HPL[{1}, 1 - w]^4*HPL[{0, 1, 1}, 1 - u]*((-229*s[4])/12 + 
       (205*s[5])/12 + (2503*s[6])/192 + (8551*s[7])/576 + 
       (27457*s[8])/1728 - (50393*s[9])/1728 - (21563*s[10])/864 + 
       (1255*s[11])/1152 + (46565*s[12])/1152 + (3061*s[13])/96 - 
       (8927*s[14])/72 - (28961*s[15])/576 - (4585*s[16])/96 - 
       (135109*s[17])/1152 - (175339*s[18])/5184 + (170701*s[19])/5184 - 
       (362675*s[20])/2592 - (35107*s[21])/324 + (47507*s[22])/5184 - 
       (40081*s[23])/384 + (1717*s[24])/10368 + (5841385*s[25])/93312 + 
       (3476603*s[26])/93312 + s[37]/3 - (55*s[38])/24 + (299*s[39])/48 - 
       (101*s[40])/16 + (425*s[41])/96 - (287*s[42])/32 + (47*s[43])/48 + 
       (17*s[44])/6 - (79*s[45])/48 + (83*s[46])/6 - (49*s[47])/32 + 
       (1171*s[48])/96 + (1039*s[49])/96 - (229*s[50])/12 - 
       (1003*s[51])/288 - (25*s[52])/6 + (401*s[53])/48 + (89*s[54])/4 + 
       (7519*s[55])/288 - 18*s[56] - (1066*s[57])/9 + (43405*s[58])/864 - 
       (22265*s[59])/432 - (21863*s[60])/288 + (4835*s[61])/15552 + 
       s[82]/2) + HPL[{1}, 1 - v]^5*HPL[{0, 1}, 1 - w]*
      ((69*s[5])/176 - (1235*s[6])/528 - (19313*s[7])/1584 + 
       (2891*s[8])/4752 + (4267*s[9])/432 + (1295*s[10])/432 + 
       (11603*s[11])/792 + (1919*s[12])/99 + (7699*s[13])/792 + 
       (6113*s[14])/792 + (199*s[15])/24 + (28319*s[16])/1584 + 
       (1315*s[17])/176 + (7175*s[18])/1296 - (1645*s[19])/648 + 
       (224225*s[20])/7128 + (189235*s[21])/14256 - (46159*s[22])/7128 - 
       (8843*s[23])/792 - (85603*s[24])/7128 + (4067663*s[25])/256608 - 
       (3277607*s[26])/256608 + s[37]/3 - (4*s[38])/3 + (73*s[39])/48 - 
       (73*s[40])/48 + (73*s[41])/48 - (17*s[42])/16 - (653*s[43])/176 + 
       (1137*s[44])/352 - (181*s[45])/176 + (3139*s[46])/264 + 
       (4871*s[47])/3168 - (21991*s[48])/3168 + (36163*s[49])/3168 - 
       (111*s[50])/22 - (1781*s[51])/1056 - (4865*s[52])/3168 + 
       (359*s[53])/198 - (365*s[54])/66 + (68003*s[55])/3168 + 
       (5493*s[56])/352 - (4549*s[57])/792 + (171223*s[58])/9504 - 
       (141643*s[59])/9504 - (2270071*s[60])/19008 + (51299*s[61])/14256 + 
       s[82]/2) + HPL[{1}, 1 - v]^5*HPL[{0, 1}, 1 - u]*
      ((69*s[5])/88 - (355*s[6])/264 - (59311*s[7])/3168 + (4517*s[8])/4752 + 
       (6403*s[9])/432 + (2993*s[10])/432 + (4025*s[11])/198 + 
       (17515*s[12])/792 + (16331*s[13])/1584 + (15685*s[14])/1584 + 
       (2333*s[15])/96 + (101209*s[16])/3168 + (4665*s[17])/176 + 
       (1073*s[18])/324 + (4687*s[19])/1296 + (326471*s[20])/7128 + 
       (233545*s[21])/14256 - (16639*s[22])/1782 - (3347*s[23])/3168 - 
       (678961*s[24])/28512 + (5843135*s[25])/256608 - 
       (4090367*s[26])/256608 - s[37] - (4*s[38])/3 + s[39]/12 - s[40]/12 + 
       (7*s[41])/12 + s[42] - (167*s[43])/44 + (525*s[44])/352 - 
       (151*s[45])/44 + (2435*s[46])/132 + (5507*s[47])/3168 - 
       (23137*s[48])/3168 + (34717*s[49])/3168 - (299*s[50])/22 - 
       (443*s[51])/352 + (313*s[52])/3168 + (15655*s[53])/1584 - 
       (323*s[54])/66 + (249515*s[55])/3168 + (7147*s[56])/352 + 
       (46463*s[57])/792 + (94693*s[58])/9504 - (122389*s[59])/9504 - 
       (3866359*s[60])/19008 + (25853*s[61])/3564 + s[82]/2) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 1}, 1 - u]*(s[3]/6 + (113*s[5])/44 - 
       (350*s[6])/33 - (2215*s[7])/198 - (65*s[8])/132 + (85*s[9])/12 - 
       6*s[10] + (1829*s[11])/66 + (1840*s[12])/33 + (11317*s[13])/396 + 
       (566*s[14])/33 - (535*s[15])/12 + (268*s[16])/99 - (21847*s[17])/396 + 
       (2809*s[18])/108 - (3457*s[19])/108 + (49805*s[20])/1188 + 
       (16691*s[21])/594 - (3187*s[22])/396 - (32393*s[23])/396 + 
       (1049*s[24])/132 + (277927*s[25])/10692 - (308149*s[26])/10692 + 
       (29*s[37])/6 - 6*s[38] + (21*s[39])/2 - (32*s[40])/3 + (47*s[41])/6 - 
       (55*s[42])/6 - (487*s[43])/33 + (4049*s[44])/264 + (230*s[45])/33 + 
       (181*s[46])/22 + (5047*s[47])/792 - (26171*s[48])/792 + 
       (39815*s[49])/792 + (535*s[50])/22 - (4133*s[51])/792 - 
       (7417*s[52])/792 - (3154*s[53])/99 - (461*s[54])/22 - 
       (145199*s[55])/792 + (8053*s[56])/264 - (8284*s[57])/33 + 
       (181189*s[58])/2376 - (108115*s[59])/2376 - (356819*s[60])/4752 - 
       (143041*s[61])/21384 + s[82]) + HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 1, 1}, 1 - w]*((207*s[5])/22 + (1225*s[6])/132 - 
       (107665*s[7])/792 + (4055*s[8])/396 + (3955*s[9])/36 + 
       (1237*s[10])/18 + (4288*s[11])/33 + (2619*s[12])/22 + 
       (10499*s[13])/198 + (2207*s[14])/44 + (5779*s[15])/24 + 
       (195035*s[16])/792 + (103955*s[17])/396 - (155*s[18])/9 + 
       (1547*s[19])/18 + (125339*s[20])/396 + (23288*s[21])/297 - 
       (77507*s[22])/1188 + (141407*s[23])/792 - (540493*s[24])/2376 + 
       (1713443*s[25])/10692 - (925169*s[26])/10692 - 6*s[37] - 6*s[38] - 
       (73*s[39])/4 + (217*s[40])/12 - (131*s[41])/12 + (385*s[42])/12 - 
       (2173*s[43])/132 - (907*s[44])/264 - (5425*s[45])/132 + 
       (1533*s[46])/11 + (12847*s[47])/792 - (27281*s[48])/792 + 
       (31133*s[49])/792 - (3225*s[50])/22 + (1195*s[51])/792 + 
       (14645*s[52])/792 + (47471*s[53])/396 - (5*s[54])/22 + 
       (722497*s[55])/792 + (29299*s[56])/264 + (33467*s[57])/33 - 
       (179417*s[58])/2376 + (167*s[59])/2376 - (8351063*s[60])/4752 + 
       (1226177*s[61])/21384 + s[82]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^5*
      ((19*s[4])/6 + (761*s[5])/528 + (2347*s[6])/704 + (80857*s[7])/2112 - 
       (88817*s[8])/19008 - (54817*s[9])/1728 - (7255*s[10])/864 - 
       (523403*s[11])/12672 - (580285*s[12])/12672 - (20129*s[13])/792 + 
       (7525*s[14])/3168 - (31147*s[15])/576 - (202289*s[16])/3168 - 
       (591671*s[17])/12672 - (43895*s[18])/5184 - (22639*s[19])/5184 - 
       (2048237*s[20])/28512 - (772985*s[21])/28512 + (1133783*s[22])/57024 + 
       (857995*s[23])/12672 + (4323379*s[24])/114048 - 
       (55965197*s[25])/1026432 + (30932705*s[26])/1026432 + (25*s[38])/48 - 
       (45*s[39])/8 + (45*s[40])/8 - (557*s[41])/96 + (835*s[42])/96 + 
       (443*s[43])/132 - (4049*s[44])/1056 + (56*s[45])/11 - 
       (5843*s[46])/132 + (2591*s[47])/792 - (7061*s[48])/1584 - 
       (13097*s[49])/792 + (17701*s[50])/528 + (2315*s[51])/528 + 
       (13621*s[52])/3168 - (40811*s[53])/1584 + (965*s[54])/264 - 
       (41779*s[55])/264 - (44177*s[56])/1056 + (86395*s[57])/1584 - 
       (44105*s[58])/594 + (731309*s[59])/9504 + (6161651*s[60])/19008 - 
       (403169*s[61])/19008 + (3*s[82])/2) + HPL[{1}, 1 - u]^5*
      HPL[{1}, 1 - w]^2*(-s[3]/2 - (797*s[5])/176 - (2593*s[6])/704 - 
       (49177*s[7])/1056 + (4925*s[8])/2112 + (7921*s[9])/192 + 
       (109*s[10])/6 + (61577*s[11])/1408 + (52831*s[12])/1408 + 
       (19933*s[13])/1056 + (3405*s[14])/176 + (7909*s[15])/96 + 
       (180791*s[16])/2112 + (127025*s[17])/1408 + (5401*s[18])/576 + 
       (5063*s[19])/576 + (343009*s[20])/3168 + (24335*s[21])/528 - 
       (149477*s[22])/6336 - (115625*s[23])/4224 - (222037*s[24])/4224 + 
       (68865*s[25])/1408 - (153991*s[26])/4224 - s[37]/6 - (5*s[38])/8 + 
       (43*s[39])/16 - (43*s[40])/16 + (41*s[41])/32 - (141*s[42])/32 - 
       (855*s[43])/176 + (2183*s[44])/704 - (1473*s[45])/176 + 
       (1031*s[46])/22 - (73*s[47])/704 - (689*s[48])/704 + 
       (42347*s[49])/2112 - (6979*s[50])/176 - (1535*s[51])/704 + 
       (29*s[52])/2112 + (37273*s[53])/1056 + (787*s[54])/264 + 
       (474721*s[55])/2112 + (89159*s[56])/2112 + (114167*s[57])/1584 + 
       (783485*s[58])/19008 - (1183859*s[59])/19008 - (1778533*s[60])/4224 + 
       (3611147*s[61])/171072 + (3*s[82])/2) + HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 0, 1}, 1 - w]*((-155*s[5])/44 + (133*s[6])/132 + 
       (98789*s[7])/792 - (2440*s[8])/297 - (5599*s[9])/54 - 
       (1453*s[10])/27 - (25303*s[11])/198 - (12895*s[12])/99 - 
       (24379*s[13])/396 - (20645*s[14])/396 - (1503*s[15])/8 - 
       (172487*s[16])/792 - (2206*s[17])/11 - (3343*s[18])/324 - 
       (14093*s[19])/324 - (265553*s[20])/891 - (169723*s[21])/1782 + 
       (55303*s[22])/891 - (39605*s[23])/792 + (1251761*s[24])/7128 - 
       (4786673*s[25])/32076 + (3018461*s[26])/32076 - s[36] + (8*s[37])/3 + 
       (20*s[38])/3 + (43*s[39])/12 - (43*s[40])/12 + (19*s[41])/12 - 
       (47*s[42])/4 + (841*s[43])/44 - (327*s[44])/44 + (1241*s[45])/44 - 
       (8321*s[46])/66 - (4385*s[47])/396 + (3466*s[48])/99 - 
       (5965*s[49])/99 + (1218*s[50])/11 + (559*s[51])/132 - (631*s[52])/99 - 
       (33455*s[53])/396 + (236*s[54])/33 - (254003*s[55])/396 - 
       (1267*s[56])/11 - (53261*s[57])/99 - (17069*s[58])/594 + 
       (20458*s[59])/297 + (3399211*s[60])/2376 - (60497*s[61])/1188 + 
       2*s[82]) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((-155*s[5])/44 + (133*s[6])/132 + (98789*s[7])/792 - (2440*s[8])/297 - 
       (5599*s[9])/54 - (1453*s[10])/27 - (25303*s[11])/198 - 
       (12895*s[12])/99 - (24379*s[13])/396 - (20645*s[14])/396 - 
       (1503*s[15])/8 - (172487*s[16])/792 - (2206*s[17])/11 - 
       (3343*s[18])/324 - (14093*s[19])/324 - (265553*s[20])/891 - 
       (169723*s[21])/1782 + (55600*s[22])/891 - (39605*s[23])/792 + 
       (1251761*s[24])/7128 - (4770041*s[25])/32076 + (3001829*s[26])/32076 + 
       (8*s[37])/3 + (20*s[38])/3 + (43*s[39])/12 - (43*s[40])/12 + 
       (19*s[41])/12 - (47*s[42])/4 + (841*s[43])/44 - (327*s[44])/44 + 
       (1241*s[45])/44 - (8321*s[46])/66 - (4385*s[47])/396 + 
       (3466*s[48])/99 - (5965*s[49])/99 + (1218*s[50])/11 + 
       (559*s[51])/132 - (631*s[52])/99 - (33455*s[53])/396 + 
       (236*s[54])/33 - (254003*s[55])/396 - (1267*s[56])/11 - 
       (53261*s[57])/99 - (17069*s[58])/594 + (20458*s[59])/297 + 
       (3399211*s[60])/2376 - (59881*s[61])/1188 + 2*s[82]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 0, 1}, 1 - u]*((-155*s[5])/44 + 
       (133*s[6])/132 + (98789*s[7])/792 - (2440*s[8])/297 - (5599*s[9])/54 - 
       (1453*s[10])/27 - (25303*s[11])/198 - (12895*s[12])/99 - 
       (24379*s[13])/396 - (20645*s[14])/396 - (1503*s[15])/8 - 
       (172487*s[16])/792 - (2206*s[17])/11 - (3343*s[18])/324 - 
       (14093*s[19])/324 - (265553*s[20])/891 - (169723*s[21])/1782 + 
       (55600*s[22])/891 - (39605*s[23])/792 + (1251761*s[24])/7128 - 
       (4770041*s[25])/32076 + (3001829*s[26])/32076 + (8*s[37])/3 + 
       (20*s[38])/3 + (43*s[39])/12 - (43*s[40])/12 + (19*s[41])/12 - 
       (47*s[42])/4 + (841*s[43])/44 - (327*s[44])/44 + (1241*s[45])/44 - 
       (8321*s[46])/66 - (4385*s[47])/396 + (3466*s[48])/99 - 
       (5965*s[49])/99 + (1218*s[50])/11 + (559*s[51])/132 - (631*s[52])/99 - 
       (33455*s[53])/396 + (236*s[54])/33 - (254003*s[55])/396 - 
       (1245*s[56])/11 - (53261*s[57])/99 - (17069*s[58])/594 + 
       (20458*s[59])/297 + (3399211*s[60])/2376 - (59881*s[61])/1188 + 
       2*s[82]) + HPL[{1}, 1 - w]^5*HPL[{0, 1}, 1 - v]*
      (s[1]/120 + (19*s[4])/3 + (761*s[5])/264 + (2347*s[6])/352 + 
       (80857*s[7])/1056 - (88817*s[8])/9504 - (54817*s[9])/864 - 
       (7255*s[10])/432 - (523403*s[11])/6336 - (580285*s[12])/6336 - 
       (20129*s[13])/396 + (7525*s[14])/1584 - (31147*s[15])/288 - 
       (202289*s[16])/1584 - (591671*s[17])/6336 - (43895*s[18])/2592 - 
       (22639*s[19])/2592 - (2048237*s[20])/14256 - (772985*s[21])/14256 + 
       (1133783*s[22])/28512 + (857995*s[23])/6336 + (4323379*s[24])/57024 - 
       (55965197*s[25])/513216 + (30932705*s[26])/513216 + (25*s[38])/24 - 
       (45*s[39])/4 + (45*s[40])/4 - (557*s[41])/48 + (835*s[42])/48 + 
       (443*s[43])/66 - (4049*s[44])/528 + (112*s[45])/11 - (5843*s[46])/66 + 
       (2591*s[47])/396 - (7061*s[48])/792 - (13097*s[49])/396 + 
       (17701*s[50])/264 + (2315*s[51])/264 + (13621*s[52])/1584 - 
       (40811*s[53])/792 + (965*s[54])/132 - (41779*s[55])/132 - 
       (44177*s[56])/528 + (86395*s[57])/792 - (44105*s[58])/297 + 
       (731309*s[59])/4752 + (6161651*s[60])/9504 - (403169*s[61])/9504 + 
       3*s[82]) + HPL[{1}, 1 - u]^5*HPL[{0, 1}, 1 - w]*
      (-s[3] - (797*s[5])/88 - (2593*s[6])/352 - (49177*s[7])/528 + 
       (4925*s[8])/1056 + (7921*s[9])/96 + (109*s[10])/3 + 
       (61577*s[11])/704 + (52831*s[12])/704 + (19933*s[13])/528 + 
       (3405*s[14])/88 + (7909*s[15])/48 + (180791*s[16])/1056 + 
       (127025*s[17])/704 + (5401*s[18])/288 + (5063*s[19])/288 + 
       (343009*s[20])/1584 + (24335*s[21])/264 - (149477*s[22])/3168 - 
       (115625*s[23])/2112 - (222037*s[24])/2112 + (68865*s[25])/704 - 
       (153991*s[26])/2112 - (5*s[37])/12 - (5*s[38])/4 + (43*s[39])/8 - 
       (43*s[40])/8 + (41*s[41])/16 - (141*s[42])/16 - (855*s[43])/88 + 
       (2183*s[44])/352 - (1473*s[45])/88 + (1031*s[46])/11 - 
       (73*s[47])/352 - (689*s[48])/352 + (42347*s[49])/1056 - 
       (6979*s[50])/88 - (1535*s[51])/352 + (29*s[52])/1056 + 
       (37273*s[53])/528 + (787*s[54])/132 + (474721*s[55])/1056 + 
       (89159*s[56])/1056 + (114167*s[57])/792 + (783485*s[58])/9504 - 
       (1183859*s[59])/9504 - (1778533*s[60])/2112 + (3611147*s[61])/85536 + 
       3*s[82]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - u]*
      ((2*s[2])/9 + (3*s[3])/4 - (205*s[4])/8 + (24517*s[5])/1584 - 
       (767*s[6])/352 - (35581*s[7])/528 + (250091*s[8])/9504 + 
       (36787*s[9])/864 - (6491*s[10])/432 + (214475*s[11])/2112 + 
       (1024819*s[12])/6336 + (85279*s[13])/792 - (223181*s[14])/1584 + 
       (509*s[15])/24 + (231865*s[16])/3168 - (421019*s[17])/6336 + 
       (14549*s[18])/2592 + (38575*s[19])/2592 - (12853*s[20])/891 - 
       (84743*s[21])/1782 - (1065761*s[22])/28512 - (2202355*s[23])/6336 - 
       (2397823*s[24])/57024 + (99032003*s[25])/513216 - 
       (19397303*s[26])/513216 - (53*s[38])/12 + (955*s[39])/24 - 
       (955*s[40])/24 + (881*s[41])/24 - (3179*s[42])/48 - (4315*s[43])/264 + 
       (23051*s[44])/1056 + (109*s[45])/264 + (1475*s[46])/11 - 
       (28901*s[47])/1056 + (32611*s[48])/1056 + (86219*s[49])/1056 - 
       (6673*s[50])/66 - (124139*s[51])/3168 - (114011*s[52])/3168 + 
       (85333*s[53])/1584 + (469*s[54])/264 + (70221*s[55])/352 + 
       (79393*s[56])/1056 - (403229*s[57])/528 + (393611*s[58])/1056 - 
       (349427*s[59])/1056 - (13466899*s[60])/19008 + (1512055*s[61])/28512 + 
       (13*s[82])/4) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      (21*s[2] + 219*s[4] - (5987*s[5])/44 + (14533*s[6])/88 + 
       (338545*s[7])/264 - (192869*s[8])/792 - (63373*s[9])/72 - 
       (3041*s[10])/18 - (786293*s[11])/528 - (1026667*s[12])/528 - 
       (14182*s[13])/11 + (95119*s[14])/132 - (31259*s[15])/24 - 
       (78873*s[16])/44 - (303397*s[17])/528 - (21863*s[18])/216 - 
       (62689*s[19])/216 - (1849625*s[20])/1188 - (127813*s[21])/594 + 
       (1514297*s[22])/2376 + (378019*s[23])/176 + (6114745*s[24])/4752 - 
       (103093577*s[25])/42768 + (39981581*s[26])/42768 + 6*s[38] - 
       (373*s[39])/4 + (357*s[40])/4 - 94*s[41] + (271*s[42])/2 + 
       (4239*s[43])/44 - (3667*s[44])/88 + (12039*s[45])/44 - 
       (36437*s[46])/22 - (8867*s[47])/88 + (3431*s[48])/88 - 
       (31039*s[49])/88 + (12674*s[50])/11 - (8911*s[51])/264 + 
       (22543*s[52])/88 - (9112*s[53])/11 + (4691*s[54])/11 - 
       (1527101*s[55])/264 - (167259*s[56])/88 + (7583*s[57])/11 - 
       (707483*s[58])/264 + (611129*s[59])/264 + (2187139*s[60])/176 - 
       (269333*s[61])/264 + 6*s[82]) + B11[u, v, w]*HPL[{1}, 1 - u]*
      (8*s[3] + 18*s[4] + (156*s[5])/11 + (311*s[6])/11 + (2815*s[7])/11 - 
       (2000*s[8])/99 - (1909*s[9])/9 - (584*s[10])/9 - (9412*s[11])/33 - 
       (20653*s[12])/66 - (12239*s[13])/66 - (1847*s[14])/66 - 
       (1048*s[15])/3 - (28841*s[16])/66 - (11197*s[17])/33 - 
       (1295*s[18])/27 - (1213*s[19])/27 - (151714*s[20])/297 - 
       (111137*s[21])/594 + (78211*s[22])/594 + (10646*s[23])/33 + 
       (85175*s[24])/297 - (1951109*s[25])/5346 + (1072547*s[26])/5346 + 
       2*s[37] + 12*s[38] - 38*s[39] + 40*s[40] - 29*s[41] + 51*s[42] + 
       (375*s[43])/11 - (380*s[44])/11 + (444*s[45])/11 - (3154*s[46])/11 + 
       (430*s[47])/33 + (133*s[48])/33 - (5107*s[49])/33 + (2356*s[50])/11 + 
       (368*s[51])/11 + (986*s[52])/33 - (4907*s[53])/33 + (60*s[54])/11 - 
       (31763*s[55])/33 - (2701*s[56])/11 + (2732*s[57])/11 - 
       (44477*s[58])/99 + (45362*s[59])/99 + (235997*s[60])/99 - 
       (108082*s[61])/891 + 6*s[82]) + B5[w, u, v]*HPL[{1}, 1 - w]*
      (4*s[3] + (13*s[4])/2 + (135*s[5])/22 + (263*s[6])/22 + 
       (12839*s[7])/132 - (1427*s[8])/198 - (728*s[9])/9 - (461*s[10])/18 - 
       (3605*s[11])/33 - (15739*s[12])/132 - (3243*s[13])/44 - 
       (1643*s[14])/132 - (1627*s[15])/12 - (1863*s[16])/11 - 
       (4468*s[17])/33 - (364*s[18])/27 - (584*s[19])/27 - 
       (115723*s[20])/594 - (83243*s[21])/1188 + (59011*s[22])/1188 + 
       (4629*s[23])/44 + (139387*s[24])/1188 - (379043*s[25])/2673 + 
       (204047*s[26])/2673 + s[37] + 5*s[38] - 14*s[39] + 15*s[40] - 
       10*s[41] + 18*s[42] + (152*s[43])/11 - (164*s[44])/11 + 
       (179*s[45])/11 - (1216*s[46])/11 + (25*s[47])/11 + (69*s[48])/11 - 
       (713*s[49])/11 + (909*s[50])/11 + (344*s[51])/33 + (98*s[52])/11 - 
       (641*s[53])/11 - (32*s[54])/11 - (4176*s[55])/11 - (989*s[56])/11 + 
       (2473*s[57])/33 - (16481*s[58])/99 + (17318*s[59])/99 + 
       (20851*s[60])/22 - (40169*s[61])/891 + 6*s[82]) + 
     B5[v, u, w]*HPL[{1}, 1 - w]*((5*s[4])/2 + (135*s[5])/22 + 
       (219*s[6])/22 + (13213*s[7])/132 - (1603*s[8])/198 - (772*s[9])/9 - 
       (517*s[10])/18 - (3682*s[11])/33 - (16157*s[12])/132 - 
       (3221*s[13])/44 - (1753*s[14])/132 - (527*s[15])/4 - (1863*s[16])/11 - 
       (4193*s[17])/33 - (485*s[18])/27 - (466*s[19])/27 - 
       (122015*s[20])/594 - (90877*s[21])/1188 + (62861*s[22])/1188 + 
       (4387*s[23])/44 + (137033*s[24])/1188 - (374632*s[25])/2673 + 
       (211912*s[26])/2673 + s[37] + 5*s[38] - 14*s[39] + 15*s[40] - 
       10*s[41] + 18*s[42] + (152*s[43])/11 - (164*s[44])/11 + 
       (179*s[45])/11 - (1216*s[46])/11 + (25*s[47])/11 + (69*s[48])/11 - 
       (713*s[49])/11 + (909*s[50])/11 + (344*s[51])/33 + (98*s[52])/11 - 
       (641*s[53])/11 - (32*s[54])/11 - (4176*s[55])/11 - (989*s[56])/11 + 
       (2473*s[57])/33 - (16481*s[58])/99 + (17318*s[59])/99 + 
       (20851*s[60])/22 - (40169*s[61])/891 + 6*s[82]) + 
     HPL[{1}, 1 - w]^2*M1[v, u, w]*((11*s[4])/6 + (31*s[5])/33 + 
       (97*s[6])/22 + (1369*s[7])/44 - (1709*s[8])/594 - (1381*s[9])/54 - 
       (473*s[10])/54 - (3623*s[11])/99 - (15883*s[12])/396 - 
       (10601*s[13])/396 - (35*s[14])/396 - (1643*s[15])/36 - 
       (5561*s[16])/99 - (8263*s[17])/198 - (41*s[18])/162 - 
       (1783*s[19])/162 - (103693*s[20])/1782 - (70733*s[21])/3564 + 
       (58639*s[22])/3564 + (10183*s[23])/396 + (164629*s[24])/3564 - 
       (797263*s[25])/16038 + (200105*s[26])/8019 - s[37]/2 + (7*s[38])/6 - 
       4*s[39] + 4*s[40] - (19*s[41])/6 + (13*s[42])/3 + (175*s[43])/33 - 
       (845*s[44])/132 + (89*s[45])/22 - (1312*s[46])/33 - (433*s[47])/396 + 
       (2273*s[48])/396 - (10493*s[49])/396 + (633*s[50])/22 + 
       (41*s[51])/44 - (149*s[52])/396 - (2221*s[53])/99 - (53*s[54])/11 - 
       (19187*s[55])/132 - (4277*s[56])/132 - (67*s[57])/99 - 
       (58955*s[58])/1188 + (72047*s[59])/1188 + (836933*s[60])/2376 - 
       (50411*s[61])/3564 + 6*s[82]) + B3[w, u, v]*HPL[{1}, 1 - u]*
      (s[4] - s[6] + (7*s[7])/3 - (7*s[8])/9 - (16*s[9])/9 - (2*s[10])/9 - 
       (19*s[11])/6 - (16*s[12])/3 - (11*s[13])/6 + (5*s[14])/6 - 
       (2*s[15])/3 - (29*s[16])/6 - s[17]/2 - (59*s[18])/27 + (26*s[19])/27 - 
       (191*s[20])/27 - (115*s[21])/54 + (89*s[22])/54 + (61*s[23])/6 + 
       (65*s[24])/54 - (902*s[25])/243 + (407*s[26])/243 - s[41] + s[42] - 
       s[43] - 2*s[46] + (4*s[47])/3 - (5*s[48])/3 + (5*s[49])/3 + 2*s[50] + 
       (2*s[52])/3 + s[53]/3 - (26*s[55])/3 - 7*s[56] + (40*s[57])/3 - 
       (79*s[58])/9 + (46*s[59])/9 + (173*s[60])/9 - (55*s[61])/27 + 
       6*s[82]) + D19[v, w, u]*(s[6] + 2*s[7] + s[8]/9 - (17*s[9])/9 - 
       s[10]/9 - (17*s[11])/6 - (14*s[12])/3 - (11*s[13])/6 - (17*s[14])/6 - 
       (4*s[15])/3 - (35*s[16])/6 - (17*s[17])/6 - (19*s[18])/27 + 
       (16*s[19])/27 - (229*s[20])/27 - (209*s[21])/54 + (85*s[22])/54 + 
       s[23]/6 + (145*s[24])/54 - (754*s[25])/243 + (763*s[26])/243 + s[40] - 
       s[41] + s[42] - s[43] + s[45] - 2*s[46] + (4*s[47])/3 - (5*s[48])/3 + 
       (5*s[49])/3 + 2*s[50] + (2*s[52])/3 + s[53]/3 - (26*s[55])/3 - 
       7*s[56] + (40*s[57])/3 - (79*s[58])/9 + (46*s[59])/9 + (173*s[60])/9 - 
       (55*s[61])/27 + 6*s[82]) + D19[w, u, v]*(s[4] - s[6] + (7*s[7])/3 - 
       (7*s[8])/9 - (16*s[9])/9 - (2*s[10])/9 - (19*s[11])/6 - (16*s[12])/3 - 
       (11*s[13])/6 + (5*s[14])/6 - (2*s[15])/3 - (29*s[16])/6 - s[17]/2 - 
       (59*s[18])/27 + (26*s[19])/27 - (191*s[20])/27 - (115*s[21])/54 + 
       (89*s[22])/54 + (49*s[23])/6 + (101*s[24])/54 - (902*s[25])/243 + 
       (407*s[26])/243 - s[41] + s[42] - s[43] - 2*s[46] + (4*s[47])/3 - 
       (5*s[48])/3 + (5*s[49])/3 + 2*s[50] + (2*s[52])/3 + s[53]/3 - 
       (26*s[55])/3 - 7*s[56] + (34*s[57])/3 - (73*s[58])/9 + (40*s[59])/9 + 
       (194*s[60])/9 - (49*s[61])/27 + 6*s[82]) + B3[u, v, w]*HPL[{1}, 1 - w]*
      (-2*s[23] + (2*s[24])/3 - 4*s[57] + (4*s[58])/3 - (4*s[59])/3 + 
       (2*s[60])/3 + (4*s[61])/9 + 6*s[82]) + 
     D19[u, v, w]*((-2*s[21])/3 - 2*s[23] + (2*s[24])/3 + (2*s[26])/3 - 
       4*s[57] + (4*s[58])/3 - (4*s[59])/3 + (2*s[60])/3 + (4*s[61])/9 + 
       6*s[82]) + HPL[{1}, 1 - u]^2*M1[w, v, u]*(-2*s[3] - (1315*s[5])/132 - 
       (845*s[6])/132 - (10217*s[7])/88 + (7573*s[8])/1188 + 
       (11135*s[9])/108 + (5029*s[10])/108 + (86821*s[11])/792 + 
       (76259*s[12])/792 + (19871*s[13])/396 + (17879*s[14])/396 + 
       (14491*s[15])/72 + (166537*s[16])/792 + (173629*s[17])/792 + 
       (3383*s[18])/162 + (8321*s[19])/324 + (474301*s[20])/1782 + 
       (194461*s[21])/1782 - (209953*s[22])/3564 - (21433*s[23])/396 - 
       (470311*s[24])/3564 + (994493*s[25])/8019 - (2789423*s[26])/32076 - 
       s[37] - (5*s[38])/2 + (89*s[39])/12 - (89*s[40])/12 + (8*s[41])/3 - 
       (131*s[42])/12 - (1741*s[43])/132 + (179*s[44])/22 - 
       (2707*s[45])/132 + (2567*s[46])/22 + (112*s[47])/99 - 
       (2159*s[48])/396 + (21767*s[49])/396 - (13327*s[50])/132 - 
       (133*s[51])/33 + (485*s[52])/396 + (34609*s[53])/396 + 
       (117*s[54])/11 + (109349*s[55])/198 + (3310*s[56])/33 + 
       (24221*s[57])/132 + (122233*s[58])/1188 - (183529*s[59])/1188 - 
       (316882*s[60])/297 + (1103485*s[61])/21384 + 6*s[82]) + 
     HPL[{1}, 1 - u]^2*M1[v, u, w]*(-2*s[3] - (145*s[5])/12 - (107*s[6])/12 - 
       (1095*s[7])/8 + (847*s[8])/108 + (13105*s[9])/108 + (5723*s[10])/108 + 
       (9319*s[11])/72 + (8231*s[12])/72 + (536*s[13])/9 + (506*s[14])/9 + 
       (17087*s[15])/72 + (17809*s[16])/72 + (18511*s[17])/72 + 
       (2063*s[18])/81 + (8917*s[19])/324 + (51271*s[20])/162 + 
       (42245*s[21])/324 - (11249*s[22])/162 - (2359*s[23])/36 - 
       (50017*s[24])/324 + (424523*s[25])/2916 - (151507*s[26])/1458 - 
       s[37]/2 - (5*s[38])/2 + (97*s[39])/12 - (97*s[40])/12 + (10*s[41])/3 - 
       (145*s[42])/12 - (163*s[43])/12 + 7*s[44] - (289*s[45])/12 + 
       (275*s[46])/2 + (11*s[47])/18 - (83*s[48])/36 + (2033*s[49])/36 - 
       (1405*s[50])/12 - (11*s[51])/3 - (7*s[52])/36 + (3673*s[53])/36 + 
       2*s[54] + (5872*s[55])/9 + (376*s[56])/3 + (857*s[57])/4 + 
       (13567*s[58])/108 - (19549*s[59])/108 - (67001*s[60])/54 + 
       (123883*s[61])/1944 + 6*s[82]) + HPL[{1}, 1 - v]^3*
      HPL[{0, 1, 1, 1}, 1 - v]*((621*s[5])/88 - (1945*s[6])/88 - 
       (97937*s[7])/528 + (926*s[8])/99 + (5335*s[9])/36 + (536*s[10])/9 + 
       (27703*s[11])/132 + (32867*s[12])/132 + (31729*s[13])/264 + 
       (27911*s[14])/264 + (3129*s[15])/16 + (157847*s[16])/528 + 
       (4485*s[17])/22 + (11467*s[18])/216 + (1397*s[19])/216 + 
       (137674*s[20])/297 + (105695*s[21])/594 - (112715*s[22])/1188 - 
       (38719*s[23])/528 - (1021373*s[24])/4752 + (4955399*s[25])/21384 - 
       (3683987*s[26])/21384 - 4*s[37] - 16*s[38] + (77*s[39])/8 - 
       (77*s[40])/8 + (101*s[41])/8 - (3*s[42])/8 - (3963*s[43])/88 + 
       (2493*s[44])/88 - (2355*s[45])/88 + (8009*s[46])/44 + 
       (5189*s[47])/264 - (5641*s[48])/66 + (4430*s[49])/33 - 
       (1230*s[50])/11 - (1555*s[51])/88 - (569*s[52])/66 + 
       (18527*s[53])/264 - (688*s[54])/11 + (158759*s[55])/264 + 
       (2370*s[56])/11 + (20957*s[57])/66 + (66479*s[58])/396 - 
       (16502*s[59])/99 - (3068215*s[60])/1584 + (154711*s[61])/2376 + 
       6*s[82]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]^2*
      ((-19*s[2])/4 - (93*s[3])/2 + (341*s[4])/4 + (12051*s[5])/88 + 
       (16245*s[6])/88 + (1121069*s[7])/528 - (65029*s[8])/396 - 
       (134491*s[9])/72 - (35843*s[10])/72 - (1275833*s[11])/528 - 
       (722027*s[12])/264 - (294895*s[13])/176 - (99107*s[14])/528 - 
       (125893*s[15])/48 - (298831*s[16])/88 - (1237813*s[17])/528 - 
       (83909*s[18])/216 - (15625*s[19])/54 - (9853927*s[20])/2376 - 
       (7551941*s[21])/4752 + (5500003*s[22])/4752 + (25814*s[23])/11 + 
       (698377*s[24])/297 - (130104179*s[25])/42768 + 
       (72681299*s[26])/42768 - 3*s[32] + (43*s[37])/4 + 161*s[38] - 
       459*s[39] + 479*s[40] - (1413*s[41])/4 + 587*s[42] + (4822*s[43])/11 - 
       (4545*s[44])/11 + (4856*s[45])/11 - (73929*s[46])/22 + 
       (2419*s[47])/22 + (1534*s[48])/11 - (87477*s[49])/44 + 
       (112067*s[50])/44 + (25739*s[51])/66 + (14825*s[52])/44 - 
       (114089*s[53])/66 - (3451*s[54])/44 - (1464977*s[55])/132 - 
       (351089*s[56])/132 + (2152543*s[57])/792 - (6121021*s[58])/1188 + 
       (3167039*s[59])/594 + (7519423*s[60])/264 - (28607591*s[61])/21384 - 
       2*s[68] - 2*s[69] + 4*s[73] - 2*s[77] + 6*s[82]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      ((9*s[3])/2 - (201*s[4])/4 - (5195*s[5])/44 - (12241*s[6])/88 - 
       (340463*s[7])/264 + (25309*s[8])/264 + (28127*s[9])/24 + 
       (4805*s[10])/12 + (240551*s[11])/176 + (226243*s[12])/176 + 
       (179767*s[13])/264 + (20465*s[14])/88 + (51259*s[15])/24 + 
       (637927*s[16])/264 + (1191085*s[17])/528 + (12371*s[18])/72 + 
       (20617*s[19])/72 + (276323*s[20])/99 + (284567*s[21])/264 - 
       (139465*s[22])/198 - (701689*s[23])/528 - (2387015*s[24])/1584 + 
       (8017781*s[25])/4752 - (4755785*s[26])/4752 + 3*s[36] + 4*s[37] - 
       129*s[38] + (653*s[39])/2 - (683*s[40])/2 + (1129*s[41])/4 - 
       (1747*s[42])/4 - (7647*s[43])/22 + (26283*s[44])/88 - 
       (20575*s[45])/44 + (128215*s[46])/44 - (8205*s[47])/88 - 
       (4949*s[48])/88 + (152589*s[49])/88 - (28118*s[50])/11 - 
       (36439*s[51])/88 - (10157*s[52])/88 + (62272*s[53])/33 + 
       (16259*s[54])/22 + (3123641*s[55])/264 + (529387*s[56])/264 + 
       (31369*s[57])/99 + (8390951*s[58])/2376 - (10332791*s[59])/2376 - 
       (4819593*s[60])/176 + (10817209*s[61])/10692 + 9*s[71] - 24*s[79] - 
       46*s[80] + 6*s[82]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]^2*
      ((-35*s[2])/4 - 10*s[3] + (1709*s[4])/8 + (3283*s[5])/22 + 
       (28839*s[6])/88 + (960677*s[7])/264 - (478891*s[8])/2376 - 
       (684239*s[9])/216 - (60499*s[10])/54 - (6230413*s[11])/1584 - 
       (412052*s[12])/99 - (3963895*s[13])/1584 - (1096879*s[14])/1584 - 
       (373741*s[15])/72 - (9924115*s[16])/1584 - (8040643*s[17])/1584 - 
       (165809*s[18])/324 - (484847*s[19])/648 - (54140531*s[20])/7128 - 
       (38348485*s[21])/14256 + (27904577*s[22])/14256 + 
       (4638173*s[23])/1584 + (62977661*s[24])/14256 - 
       (158718187*s[25])/32076 + (176132837*s[26])/64152 + 2*s[28] + 
       6*s[29] - (3*s[30])/2 + 2*s[31] - s[32] + (49*s[33])/8 + 4*s[34] - 
       (9*s[35])/2 - s[36] + (113*s[37])/6 + (519*s[38])/4 - (1729*s[39])/4 + 
       (2105*s[40])/4 - (3409*s[41])/8 + (4765*s[42])/8 + (1953*s[43])/4 - 
       (7627*s[44])/16 + (1277*s[45])/3 - (10499*s[46])/3 + (631*s[47])/48 + 
       (10903*s[48])/48 - (101893*s[49])/48 + (22969*s[50])/8 + 
       (6503*s[51])/16 + (14987*s[52])/48 - (134645*s[53])/72 - 
       (3073*s[54])/24 - (584791*s[55])/48 - (399881*s[56])/144 + 
       (396013*s[57])/216 - (6480421*s[58])/1296 + (6902215*s[59])/1296 + 
       (9059831*s[60])/288 - (3687571*s[61])/2916 + (3*s[65])/4 + 2*s[66] - 
       3*s[67] - 8*s[68] - 3*s[69] - 6*s[70] - (3*s[71])/4 - 3*s[72] - 
       s[73] + (9*s[74])/4 - (9*s[75])/4 + s[76] - s[77]/2 - 9*s[78] + 
       116*s[79] - (161*s[80])/6 + 6*s[82]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]^2*((-175*s[3])/8 + (3711*s[4])/16 + 
       (9495*s[5])/88 + (51783*s[6])/176 + (10563605*s[7])/3168 - 
       (447883*s[8])/1584 - (101555*s[9])/36 - (31273*s[10])/36 - 
       (1321861*s[11])/352 - (1114391*s[12])/264 - (8320651*s[13])/3168 - 
       (41077*s[14])/352 - (1240667*s[15])/288 - (8812823*s[16])/1584 - 
       (12634643*s[17])/3168 - (5281*s[18])/12 - (96721*s[19])/144 - 
       (3364249*s[20])/528 - (20653817*s[21])/9504 + (17014769*s[22])/9504 + 
       (5825599*s[23])/1584 + (18636061*s[24])/4752 - 
       (210799441*s[25])/42768 + (107786539*s[26])/42768 - 2*s[30] - 
       (11*s[35])/2 - (169*s[36])/12 + (115*s[37])/8 + (309*s[38])/2 - 
       (8447*s[39])/16 + (28993*s[40])/48 - (7611*s[41])/16 + 
       (34997*s[42])/48 + (278963*s[43])/528 - (573565*s[44])/1056 + 
       (84869*s[45])/176 - (1061479*s[46])/264 + (244283*s[47])/3168 + 
       (598241*s[48])/3168 - (7669361*s[49])/3168 + (106292*s[50])/33 + 
       (1499665*s[51])/3168 + (1193575*s[52])/3168 - (1690091*s[53])/792 - 
       (26795*s[54])/132 - (14482843*s[55])/1056 - (10185503*s[56])/3168 + 
       (6975803*s[57])/2376 - (172041139*s[58])/28512 + 
       (180842131*s[59])/28512 + (666789665*s[60])/19008 - 
       (12270737*s[61])/8019 + s[62]/4 - 6*s[68] + 2*s[69] + 4*s[76] - 
       6*s[77] - 2*s[78] + 74*s[79] - (63*s[80])/4 + 6*s[82]) + 
     B11[v, w, u]*HPL[{1}, 1 - u]*(18*s[4] + (257*s[5])/22 + (567*s[6])/22 + 
       (3002*s[7])/11 - (4363*s[8])/198 - (4193*s[9])/18 - (1261*s[10])/18 - 
       (19979*s[11])/66 - (11069*s[12])/33 - (13361*s[13])/66 - 
       (1781*s[14])/66 - (2171*s[15])/6 - (30095*s[16])/66 - 
       (11230*s[17])/33 - (2539*s[18])/54 - (1189*s[19])/27 - 
       (160987*s[20])/297 - (57169*s[21])/297 + (86395*s[22])/594 + 
       (10415*s[23])/33 + (90158*s[24])/297 - (4159189*s[25])/10692 + 
       (2240497*s[26])/10692 + (2*s[36])/3 + (7*s[37])/3 + 12*s[38] - 
       (85*s[39])/2 + (287*s[40])/6 - (75*s[41])/2 + (361*s[42])/6 + 
       (2503*s[43])/66 - (5495*s[44])/132 + (2345*s[45])/66 - 
       (3341*s[46])/11 + (5941*s[47])/396 + (1651*s[48])/396 - 
       (68467*s[49])/396 + (7838*s[50])/33 + (16823*s[51])/396 + 
       (12041*s[52])/396 - (5204*s[53])/33 + (16*s[54])/11 - 
       (132937*s[55])/132 - (97973*s[56])/396 + (92288*s[57])/297 - 
       (1716529*s[58])/3564 + (1751557*s[59])/3564 + (6066583*s[60])/2376 - 
       (1897505*s[61])/16038 + 8*s[79] - (4*s[80])/3 + 6*s[82]) + 
     B5[v, w, u]*HPL[{1}, 1 - u]*(7*s[4] + (40*s[5])/11 + (153*s[6])/22 + 
       (9874*s[7])/99 - (1801*s[8])/198 - (1493*s[9])/18 - (236*s[10])/9 - 
       (14783*s[11])/132 - (16619*s[12])/132 - (7514*s[13])/99 - 
       (211*s[14])/66 - (1180*s[15])/9 - (33589*s[16])/198 - 
       (48787*s[17])/396 - (773*s[18])/54 - (1075*s[19])/54 - 
       (114931*s[20])/594 - (6430*s[21])/99 + (15839*s[22])/297 + 
       (51121*s[23])/396 + (135515*s[24])/1188 - (6433*s[25])/44 + 
       (29251*s[26])/396 + s[35] - s[36]/3 + s[37] + 5*s[38] - (31*s[39])/2 + 
       (107*s[40])/6 - (27*s[41])/2 + (127*s[42])/6 + (967*s[43])/66 - 
       (2309*s[44])/132 + (281*s[45])/22 - (3692*s[46])/33 + 
       (1681*s[47])/396 + (2143*s[48])/396 - (28099*s[49])/396 + 
       (2903*s[50])/33 + (5327*s[51])/396 + (3935*s[52])/396 - 
       (5791*s[53])/99 - (206*s[54])/33 - (16671*s[55])/44 - 
       (34405*s[56])/396 + (30925*s[57])/297 - (615173*s[58])/3564 + 
       (648473*s[59])/3564 + (2304763*s[60])/2376 - (646603*s[61])/16038 + 
       4*s[79] - s[80] + 6*s[82]) + B11[w, u, v]*HPL[{1}, 1 - w]*
      (8*s[3] + (39*s[4])/2 + (167*s[5])/11 + (699*s[6])/22 + 
       (109117*s[7])/396 - (13265*s[8])/594 - (6104*s[9])/27 - 
       (1879*s[10])/27 - (120611*s[11])/396 - (66029*s[12])/198 - 
       (78835*s[13])/396 - (10169*s[14])/396 - (13679*s[15])/36 - 
       (93629*s[16])/198 - (48935*s[17])/132 - (4189*s[18])/81 - 
       (7837*s[19])/162 - (966835*s[20])/1782 - (710459*s[21])/3564 + 
       (494995*s[22])/3564 + (36074*s[23])/99 + (276172*s[24])/891 - 
       (6296077*s[25])/16038 + (3441997*s[26])/16038 + (2*s[36])/3 + 
       (5*s[37])/3 + 12*s[38] - (81*s[39])/2 + (263*s[40])/6 - (61*s[41])/2 + 
       (331*s[42])/6 + (2437*s[43])/66 - (4835*s[44])/132 + (2917*s[45])/66 - 
       (10243*s[46])/33 + (5413*s[47])/396 + (1519*s[48])/396 - 
       (65959*s[49])/396 + (7574*s[50])/33 + (13127*s[51])/396 + 
       (12173*s[52])/396 - (16481*s[53])/99 + (224*s[54])/33 - 
       (46659*s[55])/44 - (35459*s[56])/132 + (8537*s[57])/33 - 
       (572015*s[58])/1188 + (595175*s[59])/1188 + (6057079*s[60])/2376 - 
       (357433*s[61])/2673 - (2*s[80])/3 + 6*s[82]) + 
     B11[v, w, u]*HPL[{1}, 1 - w]*(11*s[4] + (411*s[5])/22 + (655*s[6])/22 + 
       (9281*s[7])/33 - (12913*s[8])/594 - (13013*s[9])/54 - 
       (3997*s[10])/54 - (30667*s[11])/99 - (33350*s[12])/99 - 
       (19816*s[13])/99 - (4723*s[14])/99 - (6775*s[15])/18 - 
       (46930*s[16])/99 - (73529*s[17])/198 - (8497*s[18])/162 - 
       (3529*s[19])/81 - (509845*s[20])/891 - (391997*s[21])/1782 + 
       (131501*s[22])/891 + (58519*s[23])/198 + (565885*s[24])/1782 - 
       (12379645*s[25])/32076 + (7182721*s[26])/32076 + 2*s[34] + 
       (2*s[36])/3 + (5*s[37])/3 + 12*s[38] - (81*s[39])/2 + (263*s[40])/6 - 
       (61*s[41])/2 + (331*s[42])/6 + (2437*s[43])/66 - (4835*s[44])/132 + 
       (2917*s[45])/66 - (10243*s[46])/33 + (5413*s[47])/396 + 
       (1519*s[48])/396 - (65959*s[49])/396 + (7574*s[50])/33 + 
       (13127*s[51])/396 + (12173*s[52])/396 - (16481*s[53])/99 + 
       (224*s[54])/33 - (46659*s[55])/44 - (35459*s[56])/132 + 
       (8537*s[57])/33 - (572015*s[58])/1188 + (595175*s[59])/1188 + 
       (6057079*s[60])/2376 - (357433*s[61])/2673 - (2*s[80])/3 + 6*s[82]) + 
     B5[u, w, v]*HPL[{1}, 1 - u]*(4*s[3] + 7*s[4] + (113*s[5])/22 + 
       (115*s[6])/11 + (10303*s[7])/99 - (2542*s[8])/297 - (2297*s[9])/27 - 
       (1517*s[10])/54 - (45911*s[11])/396 - (51265*s[12])/396 - 
       (7624*s[13])/99 - (839*s[14])/99 - (2479*s[15])/18 - 
       (35129*s[16])/198 - (17795*s[17])/132 - (1732*s[18])/81 - 
       (3031*s[19])/162 - (183380*s[20])/891 - (133087*s[21])/1782 + 
       (93395*s[22])/1782 + (52991*s[23])/396 + (412111*s[24])/3564 - 
       (1201622*s[25])/8019 + (655943*s[26])/8019 + s[35] - s[36]/3 + 
       (2*s[37])/3 + 4*s[38] - (29*s[39])/2 + (95*s[40])/6 - (21*s[41])/2 + 
       (121*s[42])/6 + (769*s[43])/66 - (1913*s[44])/132 + (1129*s[45])/66 - 
       (3835*s[46])/33 + (2011*s[47])/396 + (493*s[48])/396 - 
       (24073*s[49])/396 + (2903*s[50])/33 + (4073*s[51])/396 + 
       (4199*s[52])/396 - (5978*s[53])/99 - (118*s[54])/33 - 
       (52543*s[55])/132 - (13397*s[56])/132 + (3452*s[57])/33 - 
       (220817*s[58])/1188 + (223997*s[59])/1188 + (2276449*s[60])/2376 - 
       (295277*s[61])/5346 - (2*s[80])/3 + 6*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]^2*((19*s[2])/4 - (17*s[3])/2 + 
       (2077*s[4])/8 + (1197*s[5])/4 + (4143*s[6])/8 + (62683*s[7])/12 - 
       (3573*s[8])/8 - (36005*s[9])/8 - (4871*s[10])/4 - (93875*s[11])/16 - 
       (26391*s[12])/4 - (190463*s[13])/48 - (7369*s[14])/16 - 6588*s[15] - 
       (411017*s[16])/48 - (294859*s[17])/48 - (18593*s[18])/18 - 
       (48163*s[19])/72 - (737273*s[20])/72 - (547511*s[21])/144 + 
       (133093*s[22])/48 + (309679*s[23])/48 + (269903*s[24])/48 - 
       (4849765*s[25])/648 + (333380*s[26])/81 - 6*s[29] + (3*s[30])/2 + 
       4*s[31] - (129*s[33])/8 - 8*s[34] - (15*s[35])/2 - 21*s[36] + 
       34*s[37] + (1097*s[38])/4 - (1819*s[39])/2 + (1897*s[40])/2 - 
       (5501*s[41])/8 + (9913*s[42])/8 + (1555*s[43])/2 - (12007*s[44])/16 + 
       (3333*s[45])/4 - 6319*s[46] + (18031*s[47])/48 - (869*s[48])/48 - 
       (167581*s[49])/48 + (37095*s[50])/8 + (13087*s[51])/16 + 
       (35579*s[52])/48 - (25875*s[53])/8 + (795*s[54])/8 - 
       (980131*s[55])/48 - (254987*s[56])/48 + (513949*s[57])/72 - 
       (4435015*s[58])/432 + (4493209*s[59])/432 + (14712067*s[60])/288 - 
       (1281449*s[61])/486 - s[64] - (3*s[65])/4 - s[66] + 3*s[67] + 
       8*s[68] + s[69] + 2*s[70] + (3*s[71])/4 + 3*s[72] - 3*s[73] - 
       (9*s[74])/4 + (9*s[75])/4 - 8*s[76] - (3*s[77])/2 + 9*s[78] - 
       34*s[79] + (53*s[80])/2 + 6*s[82]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*(-4*s[3] - (257*s[5])/11 - (455*s[6])/88 - 
       (107651*s[7])/396 + (11441*s[8])/792 + (17173*s[9])/72 + 
       (2147*s[10])/18 + (42971*s[11])/176 + (102319*s[12])/528 + 
       (36109*s[13])/396 + (7093*s[14])/66 + (19313*s[15])/36 + 
       (405227*s[16])/792 + (918107*s[17])/1584 + (3949*s[18])/216 + 
       (21815*s[19])/216 + (757333*s[20])/1188 + (15275*s[21])/66 - 
       (318425*s[22])/2376 - (13745*s[23])/1584 - (1706527*s[24])/4752 + 
       (1348453*s[25])/4752 - (858097*s[26])/4752 - s[35]/3 + s[36]/3 + 
       (2*s[37])/3 - 5*s[38] + (5*s[39])/3 - (5*s[40])/3 - (109*s[41])/12 + 
       (11*s[42])/12 - (288*s[43])/11 + (101*s[44])/264 - (2015*s[45])/33 + 
       (3041*s[46])/11 + (14923*s[47])/792 - (10289*s[48])/792 + 
       (84701*s[49])/792 - (16931*s[50])/66 + (11281*s[51])/792 + 
       (10499*s[52])/792 + (95009*s[53])/396 + (949*s[54])/33 + 
       (137851*s[55])/88 + (59303*s[56])/264 + (10596*s[57])/11 + 
       (220885*s[58])/2376 - (654943*s[59])/2376 - (13009625*s[60])/4752 + 
       (2671037*s[61])/21384 + 7*s[82]) + HPL[{1}, 1 - u]^3*
      HPL[{0, 0, 1, 1}, 1 - v]*((-81*s[3])/4 + (67*s[4])/24 - 
       (5971*s[5])/44 - (20057*s[6])/264 - (2337239*s[7])/1584 + 
       (564809*s[8])/7128 + (421721*s[9])/324 + (99005*s[10])/162 + 
       (6583325*s[11])/4752 + (2821259*s[12])/2376 + (2767265*s[13])/4752 + 
       (2818955*s[14])/4752 + (1154155*s[15])/432 + (1637971*s[16])/594 + 
       (13885127*s[17])/4752 + (228583*s[18])/972 + (724657*s[19])/1944 + 
       (74133331*s[20])/21384 + (60088517*s[21])/42768 - 
       (32052805*s[22])/42768 - (1365389*s[23])/2376 - 
       (38062109*s[24])/21384 + (150537371*s[25])/96228 - 
       (53098063*s[26])/48114 - s[36]/6 - (401*s[37])/36 - (37*s[38])/3 + 
       (433*s[39])/8 - (1279*s[40])/24 - (7*s[41])/24 - (2135*s[42])/24 - 
       (34921*s[43])/264 + (13657*s[44])/176 - (193057*s[45])/792 + 
       (260071*s[46])/198 + (12913*s[47])/528 - (27149*s[48])/528 + 
       (312293*s[49])/528 - (38488*s[50])/33 - (16391*s[51])/1584 + 
       (9927*s[52])/176 + (1254907*s[53])/1188 + (31585*s[54])/198 + 
       (10670623*s[55])/1584 + (5343995*s[56])/4752 + (2623378*s[57])/891 + 
       (38595247*s[58])/42768 - (69436159*s[59])/42768 - 
       (117958903*s[60])/9504 + (112552067*s[61])/192456 - s[71] + 
       (4*s[79])/3 + (97*s[80])/18 + 7*s[82]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1, 1}, 1 - w]*(-4*s[2] + (361*s[4])/2 + (849*s[5])/11 + 
       (6419*s[6])/22 + (40863*s[7])/22 - (13217*s[8])/66 - (4529*s[9])/3 - 
       (694*s[10])/3 - (92589*s[11])/44 - (27435*s[12])/11 - 
       (65077*s[13])/44 + (459*s[14])/44 - (6028*s[15])/3 - 
       (126855*s[16])/44 - (74421*s[17])/44 - (11753*s[18])/18 + 
       (1612*s[19])/9 - (679717*s[20])/198 - (588257*s[21])/396 + 
       (383875*s[22])/396 + (185747*s[23])/44 + (556423*s[24])/396 - 
       (2383514*s[25])/891 + (2878063*s[26])/1782 - 4*s[37] + 45*s[38] - 
       372*s[39] + 388*s[40] - (787*s[41])/2 + (1237*s[42])/2 + 
       (4677*s[43])/22 - (4291*s[44])/22 + (1929*s[45])/11 - 
       (23273*s[46])/11 + (5629*s[47])/22 - (2262*s[48])/11 - 
       (8900*s[49])/11 + (14159*s[50])/11 + (23581*s[51])/66 + 
       (8537*s[52])/22 - (20325*s[53])/22 + (6814*s[54])/11 - 
       (359129*s[55])/66 - (26384*s[56])/11 + (222157*s[57])/33 - 
       (471464*s[58])/99 + (853981*s[59])/198 + (580739*s[60])/44 - 
       (959471*s[61])/891 + 9*s[82]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      M1[w, u, v]*(s[3]/2 + (489*s[5])/88 + (309*s[6])/44 + (4645*s[7])/88 - 
       (817*s[8])/396 - (877*s[9])/18 - (1235*s[10])/72 - (29867*s[11])/528 - 
       (30661*s[12])/528 - (2119*s[13])/66 - (1429*s[14])/66 - 
       (791*s[15])/12 - (24229*s[16])/264 - (39551*s[17])/528 - 
       (5699*s[18])/216 + (997*s[19])/108 - (143261*s[20])/1188 - 
       (18977*s[21])/297 + (67841*s[22])/2376 + (49831*s[23])/528 + 
       (176593*s[24])/4752 - (585509*s[25])/10692 + (1035541*s[26])/21384 + 
       (5*s[37])/2 + (3*s[38])/2 - (99*s[39])/8 + (99*s[40])/8 - 
       (77*s[41])/8 + (167*s[42])/8 + (657*s[43])/88 - (1405*s[44])/176 + 
       (109*s[45])/88 - (2287*s[46])/44 + (2315*s[47])/528 + (5*s[48])/528 - 
       (19199*s[49])/528 + (807*s[50])/22 + (3859*s[51])/528 + 
       (4567*s[52])/528 - (2941*s[53])/132 - (79*s[54])/44 - 
       (62389*s[55])/528 - (9039*s[56])/176 + (6898*s[57])/33 - 
       (65057*s[58])/528 + (63529*s[59])/528 + (1060199*s[60])/3168 - 
       (164759*s[61])/7128 + 9*s[82]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      M1[w, u, v]*(-s[3]/2 + s[4]/2 - (133*s[5])/88 + (45*s[6])/22 + 
       (1591*s[7])/264 - (2*s[8])/11 - 6*s[9] - (11*s[10])/8 - 
       (3041*s[11])/176 - (5279*s[12])/176 - (4577*s[13])/264 + 
       (103*s[14])/11 + (235*s[15])/12 - (1961*s[16])/264 + 
       (13177*s[17])/528 - (403*s[18])/36 + (671*s[19])/72 - 
       (6277*s[20])/792 - (2275*s[21])/396 + (1415*s[22])/264 + 
       (29537*s[23])/528 - (1847*s[24])/528 - (63841*s[25])/3564 + 
       (58715*s[26])/7128 + (3*s[38])/2 - (107*s[39])/8 + (107*s[40])/8 - 
       (85*s[41])/8 + (179*s[42])/8 + (705*s[43])/88 - (1937*s[44])/176 - 
       (447*s[45])/88 - (1533*s[46])/44 + (3115*s[47])/528 + 
       (1333*s[48])/528 - (20917*s[49])/528 + (545*s[50])/22 + 
       (2287*s[51])/176 + (4403*s[52])/528 - (941*s[53])/132 - 
       (205*s[54])/22 + (1349*s[55])/176 - (2421*s[56])/176 + 
       (34469*s[57])/132 - (55747*s[58])/528 + (45755*s[59])/528 + 
       (647197*s[60])/3168 - (8222*s[61])/891 + 9*s[82]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - u]*(-18*s[3] + 45*s[4] + 
       (497*s[5])/11 + (2445*s[6])/11 + (162749*s[7])/198 - 
       (22643*s[8])/297 - (19471*s[9])/27 - (1094*s[10])/27 - 
       (95677*s[11])/99 - (118688*s[12])/99 - (8528*s[13])/11 - 
       (26965*s[14])/99 - (1105*s[15])/2 - (74447*s[16])/66 - 
       (48518*s[17])/99 - (33257*s[18])/81 + (25844*s[19])/81 - 
       (1419721*s[20])/891 - (697714*s[21])/891 + (398207*s[22])/891 + 
       (39309*s[23])/22 + (765865*s[24])/1782 - (18335357*s[25])/16038 + 
       (13121513*s[26])/16038 - (52*s[36])/3 - (194*s[37])/3 + 24*s[38] - 
       240*s[39] + (772*s[40])/3 - 264*s[41] + (1121*s[42])/3 + 
       (5030*s[43])/33 - (3923*s[44])/33 - (560*s[45])/33 - (9446*s[46])/11 + 
       (15106*s[47])/99 - (5222*s[48])/99 - (44449*s[49])/99 + 
       (12986*s[50])/33 + (24707*s[51])/99 + (28247*s[52])/99 - 
       (5677*s[53])/33 + (6726*s[54])/11 - (21544*s[55])/33 - 
       (106325*s[56])/99 + (1495250*s[57])/297 - (2255377*s[58])/891 + 
       (1773490*s[59])/891 + (2654065*s[60])/594 - (3287842*s[61])/8019 + 
       32*s[79] - (28*s[80])/3 + 9*s[82]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1}, 1 - w]*(s[2]/6 + (10*s[4])/3 - (141*s[5])/11 - 
       (2689*s[6])/264 - (5761*s[7])/88 + (433*s[8])/2376 + 
       (13973*s[9])/216 + (1703*s[10])/108 + (93835*s[11])/1584 + 
       (80717*s[12])/1584 + (1645*s[13])/99 + (22765*s[14])/396 + 
       (6641*s[15])/72 + (21365*s[16])/198 + (173023*s[17])/1584 + 
       (33943*s[18])/648 - (24697*s[19])/648 + (637657*s[20])/3564 + 
       (400189*s[21])/3564 - (250711*s[22])/7128 - (246815*s[23])/1584 - 
       (152639*s[24])/14256 + (4982845*s[25])/128304 - 
       (9217345*s[26])/128304 + (2*s[38])/3 + (71*s[39])/6 - (71*s[40])/6 + 
       (61*s[41])/4 - (265*s[42])/12 - (137*s[43])/66 + (31*s[44])/44 - 
       (163*s[45])/66 + (564*s[46])/11 - (1735*s[47])/99 + (4681*s[48])/198 - 
       (271*s[49])/198 - (973*s[50])/33 - (905*s[51])/66 - (6989*s[52])/396 + 
       (2351*s[53])/99 - (1250*s[54])/33 + (24703*s[55])/198 + 
       (10081*s[56])/132 - (18907*s[57])/66 + (46925*s[58])/297 - 
       (155861*s[59])/1188 - (427993*s[60])/2376 + (770459*s[61])/21384 + 
       10*s[82]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((-5*s[3])/9 + (1589*s[5])/132 + (14063*s[6])/1056 + 
       (378791*s[7])/3168 - (45841*s[8])/9504 - (87725*s[9])/864 - 
       (19655*s[10])/432 - (726841*s[11])/6336 - (627263*s[12])/6336 - 
       (22019*s[13])/528 - (93055*s[14])/1584 - (63257*s[15])/288 - 
       (40521*s[16])/176 - (1519973*s[17])/6336 - (63397*s[18])/2592 - 
       (54533*s[19])/2592 - (2113715*s[20])/7128 - (1775299*s[21])/14256 + 
       (1698355*s[22])/28512 + (498649*s[23])/6336 + (8223185*s[24])/57024 - 
       (64449175*s[25])/513216 + (50774575*s[26])/513216 - (5*s[35])/9 + 
       (7*s[36])/18 - (11*s[37])/18 + (7*s[38])/6 - (17*s[39])/16 + 
       (17*s[40])/16 + (13*s[41])/16 + (35*s[42])/24 + (4421*s[43])/528 - 
       (5741*s[44])/1056 + (13625*s[45])/528 - (10533*s[46])/88 - 
       (3253*s[47])/1056 + (2861*s[48])/352 - (13929*s[49])/352 + 
       (3260*s[50])/33 + (1577*s[51])/352 - (5479*s[52])/1056 - 
       (3967*s[53])/44 - (122*s[54])/33 - (1990097*s[55])/3168 - 
       (134573*s[56])/1056 - (155599*s[57])/528 - (761005*s[58])/9504 + 
       (1295947*s[59])/9504 + (21716419*s[60])/19008 - 
       (2487841*s[61])/42768 + (43*s[82])/4) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1, 1}, 1 - v]*((3599*s[5])/11 + (4370*s[6])/11 + 
       (220247*s[7])/66 - (15343*s[8])/99 - (26396*s[9])/9 - 
       (10090*s[10])/9 - (208915*s[11])/66 - (189767*s[12])/66 - 
       (48541*s[13])/33 - (54917*s[14])/33 - (32333*s[15])/6 - 
       (385307*s[16])/66 - (129055*s[17])/22 - (24739*s[18])/27 - 
       (5531*s[19])/27 - (2319374*s[20])/297 - (1007558*s[21])/297 + 
       (501826*s[22])/297 + (78527*s[23])/33 + (989749*s[24])/297 - 
       (18483295*s[25])/5346 + (14435545*s[26])/5346 - 16*s[37] - 19*s[38] - 
       199*s[39] + 198*s[40] - 229*s[41] + 361*s[42] + (1882*s[43])/11 - 
       (2047*s[44])/22 + (6263*s[45])/11 - (36814*s[46])/11 + 
       (4985*s[47])/66 - (17851*s[48])/66 - (41795*s[49])/66 + 
       (29130*s[50])/11 + (13285*s[51])/66 + (13621*s[52])/66 - 
       (73481*s[53])/33 + (7914*s[54])/11 - (321413*s[55])/22 - 
       (83799*s[56])/22 - (63029*s[57])/33 - (807419*s[58])/198 + 
       (900665*s[59])/198 + (10301831*s[60])/396 - (378745*s[61])/198 + 
       12*s[82]) + D27[w, v, u]*(9*s[3] + 20*s[4] + (115*s[5])/11 + 
       (321*s[6])/11 + (8138*s[7])/33 - (1931*s[8])/99 - (1789*s[9])/9 - 
       (542*s[10])/9 - (9340*s[11])/33 - (10628*s[12])/33 - 
       (13333*s[13])/66 - (436*s[14])/33 - (935*s[15])/3 - (27415*s[16])/66 - 
       (6569*s[17])/22 - (1103*s[18])/27 - (1306*s[19])/27 - 
       (278189*s[20])/594 - (101309*s[21])/594 + (37349*s[22])/297 + 
       (20747*s[23])/66 + (164515*s[24])/594 - (1978739*s[25])/5346 + 
       (528826*s[26])/2673 + s[35] + 2*s[37] + 13*s[38] - 40*s[39] + 
       42*s[40] - 30*s[41] + 53*s[42] + (382*s[43])/11 - (833*s[44])/22 + 
       (406*s[45])/11 - (3100*s[46])/11 + (404*s[47])/33 + (338*s[48])/33 - 
       (5447*s[49])/33 + (2304*s[50])/11 + (1055*s[51])/33 + 
       (2081*s[52])/66 - (4441*s[53])/33 - (48*s[54])/11 - (29462*s[55])/33 - 
       (2600*s[56])/11 + (11327*s[57])/33 - (47189*s[58])/99 + 
       (46943*s[59])/99 + (460805*s[60])/198 - (35303*s[61])/297 + 
       12*s[82]) + D27[v, w, u]*(s[3] + 6*s[4] + (115*s[5])/11 + 
       (233*s[6])/11 + (12239*s[7])/66 - (1579*s[8])/99 - (1433*s[9])/9 - 
       (412*s[10])/9 - (6986*s[11])/33 - (15965*s[12])/66 - (4912*s[13])/33 - 
       (1477*s[14])/66 - (445*s[15])/2 - (20045*s[16])/66 - (4523*s[17])/22 - 
       (1183*s[18])/27 - (431*s[19])/27 - (222463*s[20])/594 - 
       (44093*s[21])/297 + (58781*s[22])/594 + (7244*s[23])/33 + 
       (58327*s[24])/297 - (701978*s[25])/2673 + (828973*s[26])/5346 + 
       2*s[37] + 9*s[38] - 30*s[39] + 33*s[40] - 21*s[41] + 41*s[42] + 
       (272*s[43])/11 - (635*s[44])/22 + (307*s[45])/11 - (2264*s[46])/11 + 
       (349*s[47])/33 + (217*s[48])/33 - (3808*s[49])/33 + (1589*s[50])/11 + 
       (260*s[51])/11 + (1663*s[52])/66 - (3077*s[53])/33 + (40*s[54])/11 - 
       (20717*s[55])/33 - (1995*s[56])/11 + (10513*s[57])/33 - 
       (36838*s[58])/99 + (35734*s[59])/99 + (163550*s[60])/99 - 
       (18193*s[61])/198 + 12*s[82]) + D27[v, u, w]*(16*s[4] + (49*s[5])/11 + 
       (255*s[6])/11 + (39577*s[7])/198 - (1865*s[8])/99 - (1498*s[9])/9 - 
       (404*s[10])/9 - (2556*s[11])/11 - (17791*s[12])/66 - 
       (16969*s[13])/99 - (67*s[14])/22 - (4345*s[15])/18 - 
       (65327*s[16])/198 - (42841*s[17])/198 - (277*s[18])/9 - 
       (289*s[19])/9 - (74125*s[20])/198 - (38714*s[21])/297 + 
       (64171*s[22])/594 + (25802*s[23])/99 + (66335*s[24])/297 - 
       (818732*s[25])/2673 + (849829*s[26])/5346 + 2*s[35] - (2*s[36])/3 + 
       2*s[37] + 10*s[38] - 35*s[39] + (122*s[40])/3 - 30*s[41] + 
       (151*s[42])/3 + (1003*s[43])/33 - (2411*s[44])/66 + (252*s[45])/11 - 
       (7540*s[46])/33 + (1157*s[47])/99 + (992*s[48])/99 - 
       (14240*s[49])/99 + (5647*s[50])/33 + (2923*s[51])/99 + 
       (5561*s[52])/198 - (10595*s[53])/99 - (34*s[54])/33 - 
       (7749*s[55])/11 - (18791*s[56])/99 + (103043*s[57])/297 - 
       (352816*s[58])/891 + (354859*s[59])/891 + (569014*s[60])/297 - 
       (1365107*s[61])/16038 + 8*s[79] - 2*s[80] + 12*s[82]) + 
     D27[u, v, w]*(9*s[3] + (43*s[4])/2 + (115*s[5])/11 + (719*s[6])/22 + 
       (106291*s[7])/396 - (13775*s[8])/594 - (5813*s[9])/27 - 
       (1738*s[10])/27 - (121859*s[11])/396 - (34678*s[12])/99 - 
       (86653*s[13])/396 - (3659*s[14])/396 - (12209*s[15])/36 - 
       (89483*s[16])/198 - (42571*s[17])/132 - (3751*s[18])/81 - 
       (8191*s[19])/162 - (901777*s[20])/1782 - (634001*s[21])/3564 + 
       (486853*s[22])/3564 + (68995*s[23])/198 + (545069*s[24])/1782 - 
       (6514069*s[25])/16038 + (3368173*s[26])/16038 + s[35] + (2*s[36])/3 + 
       (5*s[37])/3 + 13*s[38] - (85*s[39])/2 + (275*s[40])/6 - (65*s[41])/2 + 
       (349*s[42])/6 + (2413*s[43])/66 - (5273*s[44])/132 + (2689*s[45])/66 - 
       (10147*s[46])/33 + (5563*s[47])/396 + (3253*s[48])/396 - 
       (69313*s[49])/396 + (7517*s[50])/33 + (13133*s[51])/396 + 
       (13751*s[52])/396 - (15017*s[53])/99 + (32*s[54])/33 - 
       (131059*s[55])/132 - (34313*s[56])/132 + (11800*s[57])/33 - 
       (608057*s[58])/1188 + (607745*s[59])/1188 + (6019105*s[60])/2376 - 
       (349000*s[61])/2673 - (2*s[80])/3 + 12*s[82]) + 
     D27[u, w, v]*(-s[2] - 3*s[4] - (31*s[5])/22 - (151*s[6])/22 - 
       (1101*s[7])/22 + (2063*s[8])/594 + (2359*s[9])/54 + (503*s[10])/54 + 
       (5495*s[11])/99 + (12311*s[12])/198 + (8641*s[13])/198 + 
       (139*s[14])/198 + (514*s[15])/9 + (6983*s[16])/99 + (9463*s[17])/198 + 
       (1151*s[18])/162 + (665*s[19])/81 + (72905*s[20])/891 + 
       (21392*s[21])/891 - (46787*s[22])/1782 - (4843*s[23])/99 - 
       (44239*s[24])/891 + (2489579*s[25])/32076 - (1138139*s[26])/32076 + 
       2*s[34] + (2*s[36])/3 - s[37]/3 - 3*s[38] + (19*s[39])/2 - 
       (55*s[40])/6 + (19*s[41])/2 - (71*s[42])/6 - (635*s[43])/66 + 
       (679*s[44])/132 - (461*s[45])/66 + (1913*s[46])/33 - 
       (1853*s[47])/396 + (589*s[48])/396 + (11147*s[49])/396 - 
       (1306*s[50])/33 - (5443*s[51])/396 - (3313*s[52])/396 + 
       (2875*s[53])/99 - (460*s[54])/33 + (7267*s[55])/44 + 
       (6487*s[56])/132 - (2612*s[57])/33 + (112627*s[58])/1188 - 
       (108835*s[59])/1188 - (1019147*s[60])/2376 + (60770*s[61])/2673 - 
       (2*s[80])/3 + 12*s[82]) + D27[w, u, v]*(-6*s[4] - (31*s[5])/22 - 
       (129*s[6])/22 - (4513*s[7])/66 + (4109*s[8])/594 + (3139*s[9])/54 + 
       (749*s[10])/54 + (7442*s[11])/99 + (17129*s[12])/198 + 
       (5195*s[13])/99 - (719*s[14])/198 + (703*s[15])/9 + 
       (20269*s[16])/198 + (6662*s[17])/99 + (1847*s[18])/162 + 
       (767*s[19])/81 + (208213*s[20])/1782 + (59845*s[21])/1782 - 
       (63485*s[22])/1782 - (20411*s[23])/198 - (115967*s[24])/1782 + 
       (3318869*s[25])/32076 - (1483319*s[26])/32076 + (2*s[36])/3 - 
       s[37]/3 - 2*s[38] + (23*s[39])/2 - (79*s[40])/6 + (23*s[41])/2 - 
       (101*s[42])/6 - (635*s[43])/66 + (877*s[44])/132 - (725*s[45])/66 + 
       (2573*s[46])/33 - (1985*s[47])/396 + (2041*s[48])/396 + 
       (11675*s[49])/396 - (1867*s[50])/33 - (6763*s[51])/396 - 
       (4567*s[52])/396 + (4030*s[53])/99 - (658*s[54])/33 + 
       (10215*s[55])/44 + (10183*s[56])/132 - (1230*s[57])/11 + 
       (156979*s[58])/1188 - (145267*s[59])/1188 - (1358651*s[60])/2376 + 
       (190279*s[61])/5346 + (4*s[80])/3 + 12*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - w]*
      ((7*s[3])/3 + 147*s[4] - (843*s[5])/22 - (18169*s[6])/132 + 
       (246991*s[7])/396 - (174403*s[8])/1188 - (52187*s[9])/108 + 
       (926*s[10])/27 - (595081*s[11])/792 - (907121*s[12])/792 - 
       (197107*s[13])/396 + (325507*s[14])/396 - (6829*s[15])/12 - 
       (305761*s[16])/396 + (34933*s[17])/264 - (88381*s[18])/324 + 
       (2617*s[19])/324 - (1317163*s[20])/1782 - (581099*s[21])/3564 + 
       (610217*s[22])/1782 + (2486953*s[23])/792 + (1334645*s[24])/7128 - 
       (76153633*s[25])/64152 + (27488761*s[26])/64152 + s[35] - s[36] + 
       (40*s[38])/3 - (638*s[39])/3 + (638*s[40])/3 - (1487*s[41])/6 + 
       (1000*s[42])/3 - (131*s[43])/11 - (3203*s[44])/44 + (565*s[45])/11 - 
       (27623*s[46])/33 + (92269*s[47])/396 - (169487*s[48])/396 - 
       (79819*s[49])/396 + (21302*s[50])/33 + (68281*s[51])/396 + 
       (80417*s[52])/396 - (81241*s[53])/198 + (566*s[54])/11 - 
       (90945*s[55])/44 - (77677*s[56])/132 + (919991*s[57])/198 - 
       (2942185*s[58])/1188 + (2700223*s[59])/1188 + (9150763*s[60])/2376 - 
       (1472939*s[61])/3564 + 18*s[82]) + HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1, 1}, 1 - w]*((2*s[1])/3 + (121*s[4])/2 - (167*s[5])/88 + 
       (4911*s[6])/176 + (79631*s[7])/176 - (120971*s[8])/1584 - 
       (51319*s[9])/144 - (626*s[10])/9 - (541535*s[11])/1056 - 
       (655357*s[12])/1056 - (94745*s[13])/264 + (22547*s[14])/132 - 
       (27907*s[15])/48 - (190493*s[16])/264 - (439487*s[17])/1056 - 
       (31517*s[18])/432 - (33847*s[19])/432 - (1701995*s[20])/2376 - 
       (506339*s[21])/2376 + (1115861*s[22])/4752 + (1038991*s[23])/1056 + 
       (4281775*s[24])/9504 - (63681947*s[25])/85536 + 
       (28470887*s[26])/85536 + 10*s[38] - (651*s[39])/8 + (651*s[40])/8 - 
       (161*s[41])/2 + (497*s[42])/4 + (3673*s[43])/88 - (9349*s[44])/176 + 
       (5265*s[45])/88 - (24515*s[46])/44 + (24385*s[47])/528 - 
       (37325*s[48])/528 - (117067*s[49])/528 + (9333*s[50])/22 + 
       (10957*s[51])/176 + (32843*s[52])/528 - (20875*s[53])/66 + 
       (240*s[54])/11 - (333505*s[55])/176 - (85909*s[56])/176 + 
       (127231*s[57])/132 - (1601647*s[58])/1584 + (1630765*s[59])/1584 + 
       (12622741*s[60])/3168 - (1220383*s[61])/4752 + 18*s[82]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((361*s[5])/88 + (5263*s[6])/176 + (8251*s[7])/88 - (4085*s[8])/1584 - 
       (12109*s[9])/144 - (187*s[10])/72 - (132467*s[11])/1056 - 
       (182137*s[12])/1056 - (3226*s[13])/33 - (19751*s[14])/264 + 
       (13*s[15])/6 - (59269*s[16])/528 + (9049*s[17])/1056 - 
       (40145*s[18])/432 + (39023*s[19])/432 - (556499*s[20])/2376 - 
       (43249*s[21])/297 + (244001*s[22])/4752 + (313453*s[23])/1056 - 
       (88415*s[24])/9504 - (8737673*s[25])/85536 + (10147901*s[26])/85536 - 
       (21*s[37])/2 + 6*s[38] - (287*s[39])/8 + (287*s[40])/8 - 43*s[41] + 
       (211*s[42])/4 + (1297*s[43])/88 - (222*s[44])/11 - (1379*s[45])/88 - 
       (3879*s[46])/44 + (3761*s[47])/264 + (107*s[48])/66 - 
       (3335*s[49])/66 + (313*s[50])/22 + (1667*s[51])/88 + 
       (10795*s[52])/264 + (8471*s[53])/264 + (999*s[54])/11 + 
       (52751*s[55])/264 - (15097*s[56])/88 + (11555*s[57])/11 - 
       (169739*s[58])/396 + (222565*s[59])/792 + (138553*s[60])/792 - 
       (874453*s[61])/14256 + 18*s[82]) + HPL[{1}, 1 - u]^3*
      HPL[{0, 1, 1, 1}, 1 - u]*((-167*s[5])/88 - (17*s[6])/176 - 
       (21*s[7])/88 - (3557*s[8])/1584 - (613*s[9])/144 + (761*s[10])/72 - 
       (13139*s[11])/1056 - (36145*s[12])/1056 - (3169*s[13])/132 - 
       (2789*s[14])/264 + (301*s[15])/6 + (8183*s[16])/528 + 
       (62905*s[17])/1056 - (3761*s[18])/432 + (8327*s[19])/432 - 
       (28103*s[20])/2376 - (8095*s[21])/1188 + (18941*s[22])/4752 + 
       (2461*s[23])/1056 - (92639*s[24])/9504 - (490841*s[25])/85536 + 
       (527741*s[26])/85536 - s[37] - (71*s[39])/8 + (71*s[40])/8 - 
       16*s[41] + (25*s[42])/4 + (241*s[43])/88 - (81*s[44])/22 - 
       (1115*s[45])/88 - (51*s[46])/44 - (463*s[47])/264 - (227*s[48])/33 - 
       (1091*s[49])/66 - (281*s[50])/22 - (1325*s[51])/88 + 
       (1951*s[52])/264 + (7019*s[53])/264 + (273*s[54])/11 + 
       (42983*s[55])/264 + (215*s[56])/88 + (3305*s[57])/11 - 
       (36419*s[58])/396 + (34729*s[59])/792 - (65519*s[60])/792 + 
       (26711*s[61])/14256 + 18*s[82]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - v]*(-s[2] - s[3] - (79*s[4])/3 - (178*s[5])/33 - 
       (1493*s[6])/88 - (20043*s[7])/88 + (74003*s[8])/2376 + 
       (38095*s[9])/216 + (3763*s[10])/108 + (375245*s[11])/1584 + 
       (426727*s[12])/1584 + (14870*s[13])/99 - (2734*s[14])/99 + 
       (23719*s[15])/72 + (35711*s[16])/99 + (424133*s[17])/1584 + 
       (25697*s[18])/648 + (21829*s[19])/648 + (695677*s[20])/1782 + 
       (484283*s[21])/3564 - (798263*s[22])/7128 - (669769*s[23])/1584 - 
       (3128377*s[24])/14256 + (42894515*s[25])/128304 - 
       (22314107*s[26])/128304 - (14*s[38])/3 + (35*s[39])/2 - (35*s[40])/2 + 
       (293*s[41])/12 - (289*s[42])/12 - (25*s[43])/6 + (79*s[44])/12 - 
       (65*s[45])/2 + (581*s[46])/3 - (107*s[47])/18 + (326*s[48])/9 + 
       (229*s[49])/9 - 142*s[50] - (43*s[51])/6 - (791*s[52])/36 + 
       (2269*s[53])/18 - 79*s[54] + (4883*s[55])/6 + (3055*s[56])/12 - 
       (1564*s[57])/9 + (9226*s[58])/27 - (38329*s[59])/108 - 
       (296695*s[60])/216 + (74737*s[61])/648 + 18*s[82]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - u]*
      ((-4*s[3])/3 - (16*s[4])/3 - (1193*s[5])/22 - (1687*s[6])/44 - 
       (66271*s[7])/132 + (1479*s[8])/44 + (4705*s[9])/12 + (704*s[10])/3 + 
       (111401*s[11])/264 + (76117*s[12])/264 + (14125*s[13])/132 + 
       (19715*s[14])/132 + (40045*s[15])/36 + (134951*s[16])/132 + 
       (323929*s[17])/264 + (1423*s[18])/36 + (7061*s[19])/36 + 
       (218491*s[20])/198 + (54797*s[21])/132 - (23086*s[22])/99 - 
       (21315*s[23])/88 - (549695*s[24])/792 + (3792667*s[25])/7128 - 
       (2420203*s[26])/7128 - (20*s[37])/3 - (8*s[38])/3 - 34*s[39] + 
       34*s[40] - (175*s[41])/2 + (35*s[42])/3 + (254*s[43])/33 - 
       (151*s[44])/44 - (4561*s[45])/33 + (14567*s[46])/33 - 
       (1223*s[47])/44 - (1267*s[48])/44 + (2075*s[49])/132 - 
       (15596*s[50])/33 - (20015*s[51])/396 + (4435*s[52])/132 + 
       (9989*s[53])/22 + (3118*s[54])/33 + (1200131*s[55])/396 + 
       (23301*s[56])/44 + (149861*s[57])/66 - (3149*s[58])/132 - 
       (42709*s[59])/132 - (3676423*s[60])/792 + (109319*s[61])/396 + 
       18*s[82]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]^2*
      ((11*s[2])/4 + (137*s[3])/2 + (463*s[4])/4 + (5629*s[5])/88 + 
       (12739*s[6])/88 + (294121*s[7])/176 - (38243*s[8])/396 - 
       (96941*s[9])/72 - (43333*s[10])/72 - (937663*s[11])/528 - 
       (475861*s[12])/264 - (539083*s[13])/528 - (121117*s[14])/528 - 
       (127651*s[15])/48 - (812315*s[16])/264 - (1466083*s[17])/528 - 
       (44755*s[18])/216 - (29573*s[19])/54 - (8173613*s[20])/2376 - 
       (5517451*s[21])/4752 + (3927125*s[22])/4752 + (88471*s[23])/66 + 
       (1290577*s[24])/594 - (96934741*s[25])/42768 + 
       (51347869*s[26])/42768 + s[32] - (7*s[37])/4 + 43*s[38] - 83*s[39] + 
       79*s[40] - (227*s[41])/4 + 90*s[42] + (1002*s[43])/11 - 
       (743*s[44])/11 + (1654*s[45])/11 - (19123*s[46])/22 - 
       (1087*s[47])/66 + (727*s[48])/33 - (61249*s[49])/132 + 
       (34669*s[50])/44 + (3473*s[51])/66 + (5297*s[52])/132 - 
       (37391*s[53])/66 - (4677*s[54])/44 - (498071*s[55])/132 - 
       (82231*s[56])/132 - (699367*s[57])/792 - (1053551*s[58])/1188 + 
       (684595*s[59])/594 + (6518371*s[60])/792 - (7478617*s[61])/21384 + 
       2*s[68] + 2*s[69] + 4*s[73] + 2*s[77] + 18*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]^2*((335*s[3])/8 + (961*s[4])/16 + 
       (5509*s[5])/88 + (17297*s[6])/176 + (3027115*s[7])/3168 - 
       (304327*s[8])/4752 - (81377*s[9])/108 - (32275*s[10])/108 - 
       (3224731*s[11])/3168 - (817643*s[12])/792 - (646511*s[13])/1056 - 
       (330523*s[14])/3168 - (47869*s[15])/32 - (298181*s[16])/176 - 
       (4833797*s[17])/3168 - (46471*s[18])/324 - (355559*s[19])/1296 - 
       (27170813*s[20])/14256 - (20105149*s[21])/28512 + 
       (13125029*s[22])/28512 + (459287*s[23])/528 + (17086189*s[24])/14256 - 
       (167967221*s[25])/128304 + (93841871*s[26])/128304 + 2*s[30] - 
       s[35]/2 - (143*s[36])/12 + (163*s[37])/24 + (99*s[38])/2 - 
       (1393*s[39])/16 + (2831*s[40])/48 - (373*s[41])/16 + (4099*s[42])/48 + 
       (48589*s[43])/528 - (40691*s[44])/1056 + (88481*s[45])/528 - 
       (71851*s[46])/88 + (128341*s[47])/3168 - (92561*s[48])/3168 - 
       (1245487*s[49])/3168 + (18901*s[50])/33 + (90095*s[51])/3168 + 
       (211481*s[52])/3168 - (127483*s[53])/264 - (3191*s[54])/44 - 
       (3334405*s[55])/1056 - (1995329*s[56])/3168 - (422023*s[57])/2376 - 
       (30204541*s[58])/28512 + (34170013*s[59])/28512 + 
       (128223295*s[60])/19008 - (2902607*s[61])/8019 + (7*s[62])/4 + 
       6*s[68] - 2*s[69] - s[76] + 6*s[77] + 2*s[78] - 54*s[79] + 
       (313*s[80])/12 + 18*s[82]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 0, 1, 1}, 1 - w]*(7*s[2] + (203*s[4])/3 - (9143*s[5])/264 + 
       (13649*s[6])/176 + (263815*s[7])/528 - (372695*s[8])/4752 - 
       (154123*s[9])/432 - (2429*s[10])/27 - (1810187*s[11])/3168 - 
       (2230777*s[12])/3168 - (379667*s[13])/792 + (15479*s[14])/99 - 
       (80035*s[15])/144 - (589661*s[16])/792 - (1153211*s[17])/3168 - 
       (46577*s[18])/1296 - (149395*s[19])/1296 - (5063903*s[20])/7128 - 
       (1124561*s[21])/7128 + (3556277*s[22])/14256 + (1933555*s[23])/3168 + 
       (15691459*s[24])/28512 - (224665319*s[25])/256608 + 
       (96215267*s[26])/256608 + (23*s[38])/6 - (221*s[39])/8 + 
       (221*s[40])/8 - (76*s[41])/3 + (461*s[42])/12 + (11329*s[43])/264 - 
       (11725*s[44])/528 + (9191*s[45])/88 - (82463*s[46])/132 - 
       (71447*s[47])/1584 + (66427*s[48])/1584 - (250123*s[49])/1584 + 
       (9513*s[50])/22 - (2801*s[51])/176 + (122339*s[52])/1584 - 
       (63247*s[53])/198 + (1587*s[54])/11 - (399867*s[55])/176 - 
       (379741*s[56])/528 - (14207*s[57])/396 - (4361239*s[58])/4752 + 
       (3905653*s[59])/4752 + (46977325*s[60])/9504 - (5287127*s[61])/14256 + 
       21*s[82]) + HPL[{1}, 1 - u]^2*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((3*s[3])/2 - (67*s[4])/4 - (7559*s[5])/264 - (19025*s[6])/528 - 
       (43169*s[7])/132 + (121931*s[8])/4752 + (130855*s[9])/432 + 
       (20617*s[10])/216 + (1125317*s[11])/3168 + (1065571*s[12])/3168 + 
       (145451*s[13])/792 + (12691*s[14])/396 + (12835*s[15])/24 + 
       (968791*s[16])/1584 + (1772921*s[17])/3168 + (46787*s[18])/1296 + 
       (101863*s[19])/1296 + (4866347*s[20])/7128 + (1829687*s[21])/7128 - 
       (2593361*s[22])/14256 - (1200367*s[23])/3168 - 
       (10892395*s[24])/28512 + (115632419*s[25])/256608 - 
       (64780799*s[26])/256608 + s[36] + (8*s[37])/3 - 43*s[38] + 
       (2539*s[39])/24 - (2659*s[40])/24 + (1121*s[41])/12 - (835*s[42])/6 - 
       (29981*s[43])/264 + (8185*s[44])/88 - (12097*s[45])/88 + 
       (57289*s[46])/66 - (5683*s[47])/198 - (17155*s[48])/792 + 
       (438115*s[49])/792 - (50207*s[50])/66 - (17065*s[51])/132 - 
       (16213*s[52])/396 + (439621*s[53])/792 + (16201*s[54])/66 + 
       (1364227*s[55])/396 + (220571*s[56])/396 - (10400*s[57])/297 + 
       (7617209*s[58])/7128 - (4691779*s[59])/3564 - (38918707*s[60])/4752 + 
       (35955919*s[61])/128304 + 3*s[71] - 8*s[79] - (46*s[80])/3 + 
       21*s[82]) + HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1, 1}, 1 - w]*
      ((-15*s[2])/2 + 95*s[4] + (2705*s[5])/22 + (1795*s[6])/11 + 
       (77925*s[7])/44 - (17210*s[8])/99 - (13735*s[9])/9 - (7495*s[10])/18 - 
       (241135*s[11])/132 - (63890*s[12])/33 - (131815*s[13])/132 - 
       (38275*s[14])/132 - (30055*s[15])/12 - (97555*s[16])/33 - 
       (314755*s[17])/132 - (30625*s[18])/54 + (445*s[19])/54 - 
       (2196875*s[20])/594 - (1876015*s[21])/1188 + (1096265*s[22])/1188 + 
       (199585*s[23])/66 + (453590*s[24])/297 - (11722715*s[25])/5346 + 
       (3891460*s[26])/2673 + 10*s[38] - (475*s[39])/2 + (475*s[40])/2 - 
       260*s[41] + 390*s[42] + (1350*s[43])/11 - (1445*s[44])/11 + 
       (4805*s[45])/22 - (20920*s[46])/11 + (6355*s[47])/33 - 
       (8660*s[48])/33 - (36095*s[49])/66 + (15460*s[50])/11 + 
       (2460*s[51])/11 + (7085*s[52])/33 - (36770*s[53])/33 + 
       (3945*s[54])/11 - (224800*s[55])/33 - (43315*s[56])/22 + 
       (86600*s[57])/33 - (109490*s[58])/33 + (36605*s[59])/11 + 
       (2629015*s[60])/198 - (3517925*s[61])/3564 + 30*s[82]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1, 1}, 1 - u]*
      ((2705*s[5])/22 + (1960*s[6])/11 + (73135*s[7])/66 - (5275*s[8])/99 - 
       (9140*s[9])/9 - (2785*s[10])/9 - (146315*s[11])/132 - 
       (35290*s[12])/33 - (25385*s[13])/44 - (81065*s[14])/132 - 
       (4765*s[15])/3 - (83195*s[16])/44 - (229285*s[17])/132 - 
       (10825*s[18])/27 + (2470*s[19])/27 - (1572295*s[20])/594 - 
       (1501685*s[21])/1188 + (690805*s[22])/1188 + (50245*s[23])/44 + 
       (1186315*s[24])/1188 - (12328445*s[25])/10692 + 
       (10738325*s[26])/10692 - (905*s[37])/6 - (265*s[39])/2 + 
       (265*s[40])/2 - 165*s[41] + 205*s[42] + (1185*s[43])/11 - 
       (3745*s[44])/44 + (2495*s[45])/22 - (12340*s[46])/11 + 
       (2295*s[47])/44 - (4415*s[48])/44 - (16565*s[49])/44 + 
       (8365*s[50])/11 + (9995*s[51])/132 + (5615*s[52])/44 - 
       (13605*s[53])/22 + (3890*s[54])/11 - (171675*s[55])/44 - 
       (54675*s[56])/44 + (40510*s[57])/33 - (735995*s[58])/396 + 
       (734285*s[59])/396 + (709745*s[60])/88 - (508355*s[61])/891 + 
       30*s[82]) + HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 1 - v]*
      ((765*s[5])/22 - (1465*s[6])/22 - (5290*s[7])/33 + (155*s[8])/33 + 
       (310*s[9])/3 + (5*s[10])/3 + (10645*s[11])/44 + (18485*s[12])/44 + 
       (7175*s[13])/33 + (3625*s[14])/22 - (775*s[15])/6 + (5135*s[16])/33 - 
       (22775*s[17])/132 + (1090*s[18])/9 - (1075*s[19])/9 + 
       (91375*s[20])/198 + (4775*s[21])/22 - (16945*s[22])/198 - 
       (30295*s[23])/132 - (47285*s[24])/396 + (306755*s[25])/1188 - 
       (289475*s[26])/1188 + 5*s[37] - 40*s[38] + 35*s[39] - 35*s[40] + 
       45*s[41] - 20*s[42] - (1115*s[43])/11 + (3825*s[44])/44 + 
       (105*s[45])/11 + (1605*s[46])/11 + (6595*s[47])/132 - 
       (28715*s[48])/132 + (36095*s[49])/132 + (410*s[50])/11 - 
       (5465*s[51])/132 - (6745*s[52])/132 - (3560*s[53])/33 - 
       (2055*s[54])/11 - (16985*s[55])/44 + (13505*s[56])/44 - 
       (5780*s[57])/11 + (148465*s[58])/396 - (83095*s[59])/396 - 
       (1345715*s[60])/792 + (3665*s[61])/3564 + 30*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1, 1}, 1 - v]*
      ((765*s[5])/22 - (1465*s[6])/22 - (3765*s[7])/22 - (250*s[8])/99 + 
       (865*s[9])/9 + (80*s[10])/9 + (34795*s[11])/132 + (52595*s[12])/132 + 
       (5800*s[13])/33 + (12305*s[14])/66 - (160*s[15])/3 + 
       (15275*s[16])/66 - (5615*s[17])/132 + (3320*s[18])/27 - 
       (3080*s[19])/27 + (292385*s[20])/594 + (139595*s[21])/594 - 
       (26270*s[22])/297 - (48665*s[23])/132 - (143285*s[24])/1188 + 
       (2746495*s[25])/10692 - (2551375*s[26])/10692 - (905*s[37])/6 - 
       40*s[38] + 35*s[39] - 35*s[40] + 45*s[41] - 20*s[42] - 
       (1115*s[43])/11 + (2395*s[44])/44 + (105*s[45])/11 + (1605*s[46])/11 + 
       (5165*s[47])/132 - (30145*s[48])/132 + (34885*s[49])/132 + 
       (410*s[50])/11 - (2225*s[51])/44 - (5315*s[52])/132 - 
       (2845*s[53])/33 - (2495*s[54])/11 - (42925*s[55])/132 + 
       (13835*s[56])/44 - (15910*s[57])/33 + (136255*s[58])/396 - 
       (72205*s[59])/396 - (1316125*s[60])/792 + (49315*s[61])/3564 + 
       30*s[82]) + HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 1}, 1 - u]*
      (-s[2]/6 + (791*s[4])/12 - (23*s[5])/2 + (341*s[6])/8 + 
       (5203*s[7])/12 - (1765*s[8])/24 - (7943*s[9])/24 - (697*s[10])/12 - 
       (24853*s[11])/48 - (10215*s[12])/16 - (3159*s[13])/8 + 
       (5249*s[14])/24 - (4870*s[15])/9 - (4151*s[16])/6 - (16657*s[17])/48 - 
       (1039*s[18])/24 - (2519*s[19])/24 - (2433*s[20])/4 - (3869*s[21])/24 + 
       (4055*s[22])/18 + (47083*s[23])/48 + (22691*s[24])/48 - 
       (1013773*s[25])/1296 + (422689*s[26])/1296 + (13*s[37])/6 + 
       (73*s[38])/6 - (266*s[39])/3 + 88*s[40] - (268*s[41])/3 + 
       (263*s[42])/2 + (313*s[43])/6 - (1661*s[44])/24 + (149*s[45])/3 - 
       (1139*s[46])/2 + (315*s[47])/8 - (319*s[48])/8 - (6667*s[49])/24 + 
       (843*s[50])/2 + (4279*s[51])/72 + (1415*s[52])/24 - (919*s[53])/3 + 
       (25*s[54])/2 - (130561*s[55])/72 - (12211*s[56])/24 + 
       (40945*s[57])/36 - (228319*s[58])/216 + (233845*s[59])/216 + 
       (589015*s[60])/144 - (242531*s[61])/972 + 31*s[82]) + 
     HPL[{1}, 1 - v]^2*Qep[v, u, w]*((-1136*s[5])/33 - (304*s[6])/11 + 
       (60158*s[7])/99 - (13676*s[8])/297 - (13444*s[9])/27 - 
       (7868*s[10])/27 - (62728*s[11])/99 - (62624*s[12])/99 - 
       (26876*s[13])/99 - (22900*s[14])/99 - 966*s[15] - (108194*s[16])/99 - 
       (11332*s[17])/11 + (328*s[18])/81 - (23932*s[19])/81 - 
       (1314904*s[20])/891 - (366748*s[21])/891 + (269216*s[22])/891 - 
       (46538*s[23])/99 + (862562*s[24])/891 - (5999170*s[25])/8019 + 
       (3387874*s[26])/8019 + (128*s[37])/3 + (128*s[38])/3 + 40*s[39] - 
       40*s[40] + (88*s[41])/3 - 104*s[42] + (1160*s[43])/11 - 
       (706*s[44])/33 + (1736*s[45])/11 - (6816*s[46])/11 - (8026*s[47])/99 + 
       (22598*s[48])/99 - (32462*s[49])/99 + (19456*s[50])/33 + 
       (526*s[51])/33 - (6902*s[52])/99 - (44620*s[53])/99 - (640*s[54])/33 - 
       (341530*s[55])/99 - (16502*s[56])/33 - (353096*s[57])/99 + 
       (11222*s[58])/99 + (1402*s[59])/11 + (2322673*s[60])/297 - 
       (559312*s[61])/2673 + 32*s[82]) + HPL[{1}, 1 - v]^2*Qep[v, w, u]*
      ((-1288*s[5])/33 + (488*s[6])/33 + (11402*s[7])/33 - (676*s[8])/33 - 
       276*s[9] - (404*s[10])/3 - (13648*s[11])/33 - (18056*s[12])/33 - 
       (8980*s[13])/33 - (4940*s[14])/33 - 270*s[15] - (17942*s[16])/33 - 
       (8780*s[17])/33 - (256*s[18])/3 - (148*s[19])/3 - (28360*s[20])/33 - 
       (27044*s[21])/99 + (18080*s[22])/99 - (2174*s[23])/33 + 
       (46162*s[24])/99 - (428822*s[25])/891 + (275318*s[26])/891 + 
       (128*s[38])/3 - (64*s[39])/3 + (64*s[40])/3 - (32*s[41])/3 - 
       16*s[42] + (1120*s[43])/11 - (2582*s[44])/33 + (608*s[45])/11 - 
       (11216*s[46])/33 - (1850*s[47])/33 + (2522*s[48])/11 - 
       (11830*s[49])/33 + (7424*s[50])/33 + (254*s[51])/11 + (54*s[52])/11 - 
       (3188*s[53])/33 + (608*s[54])/33 - (11502*s[55])/11 - 
       (11338*s[56])/33 - (86840*s[57])/99 - (65426*s[58])/297 + 
       (70610*s[59])/297 + (421129*s[60])/99 - (216416*s[61])/2673 + 
       32*s[82]) + HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - w]*
      (-8*s[2] + 83*s[4] + (5072*s[5])/11 + (1327*s[6])/11 + 
       (163145*s[7])/33 - (3405*s[8])/11 - 4391*s[9] - 1675*s[10] - 
       (105529*s[11])/22 - (52102*s[12])/11 - (129677*s[13])/66 - 
       (27619*s[14])/22 - (23876*s[15])/3 - (569651*s[16])/66 - 
       (521113*s[17])/66 - (12376*s[18])/9 - (4877*s[19])/9 - 
       (1163771*s[20])/99 - (923381*s[21])/198 + (168451*s[22])/66 + 
       (342109*s[23])/66 + (108269*s[24])/22 - (9623351*s[25])/1782 + 
       (6612491*s[26])/1782 + 24*s[37] + 91*s[38] - 428*s[39] + 460*s[40] - 
       323*s[41] + 613*s[42] + (3163*s[43])/11 - (2445*s[44])/11 + 
       (11420*s[45])/11 - (55136*s[46])/11 + (7849*s[47])/33 - 
       (16076*s[48])/33 - (48946*s[49])/33 + (46850*s[50])/11 + 
       (4639*s[51])/11 + (13121*s[52])/33 - (105221*s[53])/33 + 
       (1680*s[54])/11 - (232321*s[55])/11 - (46676*s[56])/11 - 
       (74915*s[57])/33 - (616948*s[58])/99 + (674497*s[59])/99 + 
       (8236825*s[60])/198 - (1510801*s[61])/594 + 42*s[82]) + 
     HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - v]*((3250*s[5])/11 + (2521*s[6])/11 + 
       (99361*s[7])/33 - (15329*s[8])/99 - (24049*s[9])/9 - (10331*s[10])/9 - 
       (175463*s[11])/66 - (69467*s[12])/33 - (24281*s[13])/22 - 
       (89345*s[14])/66 - 5511*s[15] - (118559*s[16])/22 - 
       (398107*s[17])/66 - (12785*s[18])/27 - (18208*s[19])/27 - 
       (2033113*s[20])/297 - (1609541*s[21])/594 + (883297*s[22])/594 + 
       (10443*s[23])/22 + (2022613*s[24])/594 - (8147449*s[25])/2673 + 
       (5798728*s[26])/2673 - 32*s[37] - 92*s[38] - 15*s[39] + 9*s[40] - 
       73*s[41] + 117*s[42] - (355*s[43])/11 + (1030*s[44])/11 + 
       (7875*s[45])/11 - (33702*s[46])/11 + (1000*s[47])/11 - 
       (6777*s[48])/11 + (1037*s[49])/11 + (30882*s[50])/11 + 
       (2276*s[51])/33 + (664*s[52])/11 - (27235*s[53])/11 + 
       (5408*s[54])/11 - (181582*s[55])/11 - (36557*s[56])/11 - 
       (73140*s[57])/11 - (81715*s[58])/33 + (110200*s[59])/33 + 
       (816637*s[60])/33 - (190019*s[61])/99 + 42*s[82]) + 
     HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - u]*(-36*s[3] + 402*s[4] + 
       (3488*s[5])/11 + (5320*s[6])/11 + (220004*s[7])/33 - (52634*s[8])/99 - 
       (50248*s[9])/9 - (17594*s[10])/9 - (231163*s[11])/33 - 
       (240335*s[12])/33 - (141470*s[13])/33 - (23152*s[14])/33 - 
       10164*s[15] - (381290*s[16])/33 - (108887*s[17])/11 - 
       (20486*s[18])/27 - (44770*s[19])/27 - (3956074*s[20])/297 - 
       (1333828*s[21])/297 + (1021100*s[22])/297 + (211969*s[23])/33 + 
       (2389553*s[24])/297 - (24402517*s[25])/2673 + (12840991*s[26])/2673 - 
       24*s[36] - 4*s[37] + 240*s[38] - 762*s[39] + 882*s[40] - 642*s[41] + 
       1084*s[42] + (9510*s[43])/11 - (7065*s[44])/11 + (12014*s[45])/11 - 
       (81228*s[46])/11 + (4417*s[47])/33 + (1447*s[48])/33 - 
       (122833*s[49])/33 + (66012*s[50])/11 + (19285*s[51])/33 + 
       (20975*s[52])/33 - (150508*s[53])/33 + (800*s[54])/11 - 
       (975527*s[55])/33 - (200407*s[56])/33 - (171692*s[57])/99 - 
       (2634803*s[58])/297 + (3143357*s[59])/297 + (12754525*s[60])/198 - 
       (8164106*s[61])/2673 + 192*s[79] - 40*s[80] + 42*s[82]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1, 1}, 1 - w]*(4*s[3] + 60*s[4] + 
       (317*s[5])/11 + (1105*s[6])/22 + (21398*s[7])/33 - (6613*s[8])/99 - 
       (4823*s[9])/9 - (1739*s[10])/18 - (47539*s[11])/66 - 
       (55643*s[12])/66 - (10125*s[13])/22 + (1039*s[14])/33 - 780*s[15] - 
       (11288*s[16])/11 - (41681*s[17])/66 - (5926*s[18])/27 + 
       (965*s[19])/54 - (730297*s[20])/594 - (321427*s[21])/594 + 
       (203345*s[22])/594 + (32851*s[23])/22 + (291089*s[24])/594 - 
       (9799151*s[25])/10692 + (6105731*s[26])/10692 + 6*s[38] - 
       (229*s[39])/2 + (229*s[40])/2 - (279*s[41])/2 + (329*s[42])/2 + 
       (1021*s[43])/22 - (676*s[44])/11 + (1631*s[45])/22 - (8110*s[46])/11 + 
       (2159*s[47])/22 - (3077*s[48])/22 - (5399*s[49])/22 + 
       (5498*s[50])/11 + (732*s[51])/11 + (2353*s[52])/22 - (3945*s[53])/11 + 
       (1359*s[54])/11 - (77423*s[55])/33 - (8475*s[56])/11 + 
       (62303*s[57])/33 - (157252*s[58])/99 + (299897*s[59])/198 + 
       (643309*s[60])/132 - (1329223*s[61])/3564 + 48*s[82]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1, 1}, 1 - u]*(-8*s[4] + (251*s[5])/11 + 
       (489*s[6])/22 + (12931*s[7])/66 - (376*s[8])/99 - (1916*s[9])/9 - 
       (371*s[10])/18 - (14869*s[11])/66 - (18485*s[12])/66 - 
       (3085*s[13])/22 - (3944*s[14])/33 - (231*s[15])/2 - (5603*s[16])/22 - 
       (5645*s[17])/66 - (3739*s[18])/27 + (5717*s[19])/54 - 
       (318061*s[20])/594 - (171145*s[21])/594 + (69893*s[22])/594 + 
       (3627*s[23])/11 + (27487*s[24])/297 - (2206445*s[25])/10692 + 
       (2415605*s[26])/10692 - 3*s[35] + s[36] - (112*s[37])/3 - 2*s[38] - 
       (93*s[39])/2 + (93*s[40])/2 - (159*s[41])/2 + (97*s[42])/2 + 
       (493*s[43])/22 - (769*s[44])/22 + (135*s[45])/22 - (2390*s[46])/11 + 
       (282*s[47])/11 - (840*s[48])/11 - (582*s[49])/11 + (922*s[50])/11 + 
       (419*s[51])/22 + (742*s[52])/11 - (282*s[53])/11 + (1755*s[54])/11 - 
       (6365*s[55])/22 - (5213*s[56])/22 + (12184*s[57])/11 - 
       (13853*s[58])/22 + (5026*s[59])/11 + (70453*s[60])/66 - 
       (120899*s[61])/1188 + 48*s[82]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 1, 1, 1}, 1 - v]*(4*s[3] + (291*s[5])/22 - (3703*s[6])/44 - 
       (47689*s[7])/132 + (7699*s[8])/396 + (10235*s[9])/36 + 
       (1727*s[10])/18 + (112141*s[11])/264 + (131651*s[12])/264 + 
       (9226*s[13])/33 + (15085*s[14])/66 + (3461*s[15])/12 + 
       (18460*s[16])/33 + (31775*s[17])/88 + (15691*s[18])/108 - 
       (6301*s[19])/108 + (488725*s[20])/594 + (211789*s[21])/594 - 
       (209641*s[22])/1188 - (93421*s[23])/264 - (750389*s[24])/2376 + 
       (9852703*s[25])/21384 - (7496287*s[26])/21384 - (100*s[37])/3 - 
       32*s[38] + (113*s[39])/2 - (113*s[40])/2 + (109*s[41])/2 - 87*s[42] - 
       (2533*s[43])/22 + (625*s[44])/11 - (199*s[45])/22 + (3796*s[46])/11 + 
       (158*s[47])/33 - (11333*s[48])/66 + (20381*s[49])/66 - 
       (1917*s[50])/11 - (3196*s[51])/33 - (4003*s[52])/66 + 
       (2471*s[53])/33 - (2015*s[54])/11 + (15959*s[55])/33 + 
       (4783*s[56])/11 - (37865*s[57])/66 + (59626*s[58])/99 - 
       (46219*s[59])/99 - (596539*s[60])/198 + (444541*s[61])/3564 + 
       48*s[82]) + HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1, 1}, 1 - v]*
      (2*s[4] + (225*s[5])/22 - (1987*s[6])/44 - (11408*s[7])/33 + 
       (11879*s[8])/396 + (10291*s[9])/36 + (800*s[10])/9 + 
       (102197*s[11])/264 + (132883*s[12])/264 + (16483*s[13])/66 + 
       (5392*s[14])/33 + (505*s[15])/2 + (65711*s[16])/132 + 
       (22095*s[17])/88 + (18269*s[18])/108 - (8399*s[19])/108 + 
       (240397*s[20])/297 + (205409*s[21])/594 - (215669*s[22])/1188 - 
       (125387*s[23])/264 - (642655*s[24])/2376 + (8970833*s[25])/21384 - 
       (6954977*s[26])/21384 - 12*s[37] - 32*s[38] + (117*s[39])/2 - 
       (117*s[40])/2 + (113*s[41])/2 - 95*s[42] - (2049*s[43])/22 + 
       (3215*s[44])/44 - (243*s[45])/22 + (3576*s[46])/11 - (281*s[47])/132 - 
       (16121*s[48])/132 + (33491*s[49])/132 - (2049*s[50])/11 - 
       (14335*s[51])/132 - (9865*s[52])/132 + (5195*s[53])/66 - 
       (1784*s[54])/11 + (64705*s[55])/132 + (16921*s[56])/44 - 
       (48623*s[57])/66 + (28027*s[58])/44 - (68471*s[59])/132 - 
       (2114357*s[60])/792 + (226643*s[61])/1782 + 48*s[82]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1, 1}, 1 - w]*
      (68*s[4] - (1257*s[5])/11 - (3221*s[6])/22 - (15661*s[7])/22 - 
       (1513*s[8])/198 + (12127*s[9])/18 + (5765*s[10])/18 + 
       (81629*s[11])/132 + (13540*s[12])/33 + (22835*s[13])/132 + 
       (103727*s[14])/132 + (7403*s[15])/6 + (174875*s[16])/132 + 
       (210941*s[17])/132 + (8071*s[18])/27 - (4787*s[19])/54 + 
       (602264*s[20])/297 + (1203797*s[21])/1188 - (428827*s[22])/1188 - 
       (2815*s[23])/132 - (811405*s[24])/1188 + (1234034*s[25])/2673 - 
       (1725344*s[26])/2673 + 8*s[37] + (43*s[39])/2 - (43*s[40])/2 + 
       9*s[41] - 46*s[42] - (1939*s[43])/22 + (971*s[44])/44 - 
       (2091*s[45])/22 + (6469*s[46])/11 + (3349*s[47])/132 - 
       (12557*s[48])/132 + (24911*s[49])/132 - (4711*s[50])/11 - 
       (2065*s[51])/44 - (1945*s[52])/132 + (26513*s[53])/66 - 
       (2367*s[54])/11 + (113389*s[55])/44 + (32695*s[56])/44 + 
       (12303*s[57])/11 + (174055*s[58])/396 - (219097*s[59])/396 - 
       (4024661*s[60])/792 + (288524*s[61])/891 + 48*s[82]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1, 1}, 1 - u]*(-8*s[3] - 2*s[4] - 
       (1345*s[5])/11 - (3089*s[6])/22 - (155995*s[7])/132 + 
       (13513*s[8])/198 + (18641*s[9])/18 + (3590*s[10])/9 + 
       (148201*s[11])/132 + (33758*s[12])/33 + (22315*s[13])/44 + 
       (71497*s[14])/132 + (7719*s[15])/4 + (23108*s[16])/11 + 
       (276941*s[17])/132 + (20179*s[18])/54 + (667*s[19])/27 + 
       (1629359*s[20])/594 + (1490677*s[21])/1188 - (710867*s[22])/1188 - 
       (14057*s[23])/11 - (331928*s[24])/297 + (12870931*s[25])/10692 - 
       (10496803*s[26])/10692 + 8*s[35] - 8*s[36] - 4*s[37] - 12*s[38] + 
       (199*s[39])/2 - (199*s[40])/2 + 75*s[41] - 178*s[42] - 
       (2423*s[43])/22 + (823*s[44])/11 - (3807*s[45])/22 + 
       (12761*s[46])/11 - (1343*s[47])/22 + (285*s[48])/22 + 
       (8671*s[49])/22 - (9903*s[50])/11 - (3416*s[51])/33 - 
       (1547*s[52])/22 + (8652*s[53])/11 - (1740*s[54])/11 + 
       (322571*s[55])/66 + (27881*s[56])/22 + (7979*s[57])/33 + 
       (146768*s[58])/99 - (172895*s[59])/99 - (101272*s[60])/11 + 
       (2090405*s[61])/3564 + 48*s[82]) + D28[u, v, w]*
      (-8*s[3] - 22*s[4] - (43*s[5])/22 + (51*s[6])/22 - (25*s[7])/132 + 
       (2767*s[8])/99 - (203*s[9])/18 - (1021*s[10])/18 + (455*s[11])/132 + 
       (1036*s[12])/33 + (673*s[13])/132 - (12853*s[14])/132 - (5*s[15])/4 - 
       (1603*s[16])/66 - (2955*s[17])/44 + (832*s[18])/27 - (1243*s[19])/27 - 
       (25537*s[20])/297 - (36775*s[21])/1188 + (10841*s[22])/1188 - 
       (16715*s[23])/33 + (56497*s[24])/594 + (409835*s[25])/10692 - 
       (27911*s[26])/10692 - s[32] - 2*s[37] - 8*s[38] + 41*s[39] - 
       43*s[40] + 34*s[41] - 74*s[42] - (41*s[43])/11 + (261*s[44])/22 + 
       (155*s[45])/11 + (64*s[46])/11 - (4889*s[47])/66 + (6001*s[48])/66 - 
       (1525*s[49])/66 + (61*s[50])/11 - (4981*s[51])/66 - (2587*s[52])/66 + 
       (74*s[53])/33 - (799*s[54])/11 - (5789*s[55])/66 + (1075*s[56])/22 - 
       (19611*s[57])/22 + (51841*s[58])/198 - (50623*s[59])/198 + 
       (246733*s[60])/396 + (19175*s[61])/1782 + 72*s[82]) + 
     HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - u]*(-40*s[2] - 30*s[3] - 130*s[4] + 
       (808*s[5])/11 - (10712*s[6])/11 + (2478*s[7])/11 + (4640*s[8])/33 - 
       (1598*s[9])/3 - (3322*s[10])/3 + (7014*s[11])/11 + (18208*s[12])/11 + 
       (20194*s[13])/11 - (2162*s[14])/11 - (9154*s[15])/3 - 
       (12964*s[16])/11 - (38204*s[17])/11 + (5528*s[18])/9 - 
       (13802*s[19])/9 - (186140*s[20])/99 - (8600*s[21])/99 + 
       (14668*s[22])/99 - (60938*s[23])/11 + (161698*s[24])/99 + 
       (1025302*s[25])/891 - (682546*s[26])/891 - 8*s[32] - 80*s[37] - 
       72*s[38] + 512*s[39] - 570*s[40] + 220*s[41] - 724*s[42] - 
       (4524*s[43])/11 + (6728*s[44])/11 + (5136*s[45])/11 + 
       (2136*s[46])/11 - (1288*s[47])/11 - (8108*s[48])/11 + 
       (10860*s[49])/11 + (19640*s[50])/11 - (8504*s[51])/33 - 
       (5232*s[52])/11 - (13716*s[53])/11 - (16064*s[54])/11 - 
       (100996*s[55])/11 + (20060*s[56])/11 - (640456*s[57])/33 + 
       (586796*s[58])/99 - (393728*s[59])/99 + (291728*s[60])/33 + 
       (162128*s[61])/891 + 72*s[82]) + D28[w, u, v]*
      ((-19*s[3])/2 - (67*s[4])/4 - (21*s[5])/22 - (2043*s[6])/44 - 
       (9473*s[7])/88 + (1273*s[8])/132 + (251*s[9])/3 - (44*s[10])/3 + 
       (11241*s[11])/88 + (1669*s[12])/11 + (11291*s[13])/88 - 
       (579*s[14])/88 + (1837*s[15])/24 + (5117*s[16])/44 + (4639*s[17])/88 + 
       (382*s[18])/9 - (1075*s[19])/36 + (46775*s[20])/396 + 
       (54115*s[21])/792 - (36791*s[22])/792 - (13571*s[23])/44 - 
       (13357*s[24])/396 + (637031*s[25])/3564 - (392969*s[26])/3564 - 
       2*s[30] + s[36] - (31*s[37])/6 - 30*s[38] + (235*s[39])/4 - 
       (247*s[40])/4 + (203*s[41])/4 - (283*s[42])/4 - (2917*s[43])/44 + 
       (3511*s[44])/88 - (10661*s[45])/132 + (15665*s[46])/33 - 
       (6505*s[47])/264 - (3667*s[48])/264 + (59467*s[49])/264 - 
       (3730*s[50])/11 - (20267*s[51])/264 - (16517*s[52])/264 + 
       (24031*s[53])/99 - (1036*s[54])/33 + (421291*s[55])/264 + 
       (333703*s[56])/792 - (115763*s[57])/297 + (5355791*s[58])/7128 - 
       (5380523*s[59])/7128 - (688775*s[60])/176 + (6453001*s[61])/32076 + 
       2*s[71] - (31*s[80])/3 + 72*s[82]) + HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - w]*
      (-80*s[3] + 348*s[4] + (2172*s[5])/11 - (878*s[6])/11 + 
       (475898*s[7])/99 - (11002*s[8])/33 - 3936*s[9] - (5782*s[10])/3 - 
       (155717*s[11])/33 - (46120*s[12])/11 - (276415*s[13])/99 + 
       (12511*s[14])/33 - (79214*s[15])/9 - (847549*s[16])/99 - 
       (856733*s[17])/99 + (16754*s[18])/27 - (78404*s[19])/27 - 
       (2531732*s[20])/297 - (604279*s[21])/297 + (238771*s[22])/99 - 
       (33565*s[23])/99 + (252365*s[24])/33 - (18355240*s[25])/2673 + 
       (7193044*s[26])/2673 - 16*s[30] + 32*s[35] - (272*s[36])/3 - 
       16*s[37] + 108*s[38] - 164*s[39] + (494*s[40])/3 - 238*s[41] + 
       (550*s[42])/3 + (18130*s[43])/33 - (4588*s[44])/33 + 
       (13694*s[45])/11 - (184156*s[46])/33 - (13726*s[47])/99 - 
       (25276*s[48])/99 - (233492*s[49])/99 + (180712*s[50])/33 + 
       (15430*s[51])/99 + (1972*s[52])/99 - (443258*s[53])/99 - 
       (45904*s[54])/33 - (966178*s[55])/33 - (320048*s[56])/99 - 
       (4836364*s[57])/297 - (2166100*s[58])/891 + (4673338*s[59])/891 + 
       (16340737*s[60])/297 - (16730404*s[61])/8019 + 16*s[62] + 48*s[76] - 
       64*s[79] + 48*s[80] + 72*s[82]) + HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - v]*
      (-62*s[2] - 110*s[4] + (9212*s[5])/11 - (966*s[6])/11 + 
       (196414*s[7])/33 - (2042*s[8])/297 - (155560*s[9])/27 - 
       (73724*s[10])/27 - (516145*s[11])/99 - (381794*s[12])/99 - 
       (101053*s[13])/99 - (348325*s[14])/99 - (104480*s[15])/9 - 
       (1107655*s[16])/99 - (1261423*s[17])/99 - (113702*s[18])/81 - 
       (108280*s[19])/81 - (14311048*s[20])/891 - (5922613*s[21])/891 + 
       (2764433*s[22])/891 + (13097*s[23])/99 + (6378233*s[24])/891 - 
       (40175350*s[25])/8019 + (34977022*s[26])/8019 - 8*s[27] - 48*s[31] - 
       60*s[33] + 32*s[34] - (272*s[36])/3 - 16*s[37] + 108*s[38] - 
       164*s[39] + (524*s[40])/3 - 238*s[41] + (550*s[42])/3 + 
       (18130*s[43])/33 - (4588*s[44])/33 + (13804*s[45])/11 - 
       (184156*s[46])/33 - (13726*s[47])/99 - (25276*s[48])/99 - 
       (233492*s[49])/99 + (180712*s[50])/33 + (15430*s[51])/99 + 
       (1972*s[52])/99 - (443258*s[53])/99 - (43792*s[54])/33 - 
       (966904*s[55])/33 - (324800*s[56])/99 - (4911208*s[57])/297 - 
       (2088880*s[58])/891 + (4596118*s[59])/891 + (16391227*s[60])/297 - 
       (16425682*s[61])/8019 + 16*s[62] - 16*s[69] + 48*s[76] - 64*s[79] + 
       48*s[80] + 72*s[82]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1}, 1 - u]*
      (76*s[3] + 259*s[4] + (1638*s[5])/11 + (5042*s[6])/11 + 
       (111976*s[7])/33 - (87893*s[8])/297 - (75244*s[9])/27 - 
       (20417*s[10])/27 - (768527*s[11])/198 - (875305*s[12])/198 - 
       (535673*s[13])/198 - (19798*s[14])/99 - (38159*s[15])/9 - 
       (1118993*s[16])/198 - (394885*s[17])/99 - (54698*s[18])/81 - 
       (39520*s[19])/81 - (11610791*s[20])/1782 - (4180511*s[21])/1782 + 
       (1557173*s[22])/891 + (457130*s[23])/99 + (3289910*s[24])/891 - 
       (40679827*s[25])/8019 + (43516067*s[26])/16038 + 8*s[32] - 2*s[35] - 
       (58*s[36])/3 + (65*s[37])/3 + 168*s[38] - 580*s[39] + (1864*s[40])/3 - 
       452*s[41] + (2387*s[42])/3 + (15866*s[43])/33 - (16502*s[44])/33 + 
       (16010*s[45])/33 - (126994*s[46])/33 + (44855*s[47])/198 + 
       (12911*s[48])/198 - (427847*s[49])/198 + (91583*s[50])/33 + 
       (110593*s[51])/198 + (46184*s[52])/99 - (183869*s[53])/99 + 
       (6092*s[54])/33 - (257299*s[55])/22 - (220741*s[56])/66 + 
       (61037*s[57])/11 - (3941233*s[58])/594 + (3860599*s[59])/594 + 
       (36912209*s[60])/1188 - (4399225*s[61])/2673 + 8*s[68] - 8*s[69] + 
       8*s[70] + 2*s[76] - (8*s[80])/3 + 84*s[82]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 1 - w]*(24*s[2] + 88*s[3] + 
       250*s[4] + (1748*s[5])/11 + (5075*s[6])/11 + (324202*s[7])/99 - 
       (7957*s[8])/33 - (8053*s[9])/3 - (2194*s[10])/3 - (248483*s[11])/66 - 
       (93917*s[12])/22 - (264179*s[13])/99 - (9298*s[14])/33 - 
       (36580*s[15])/9 - (541286*s[16])/99 - (770597*s[17])/198 - 
       (18200*s[18])/27 - (11995*s[19])/27 - (1887181*s[20])/297 - 
       (712370*s[21])/297 + (167155*s[22])/99 + (903293*s[23])/198 + 
       (705631*s[24])/198 - (25890367*s[25])/5346 + (14270953*s[26])/5346 + 
       6*s[32] + 2*s[34] - (26*s[36])/3 + (67*s[37])/3 + 172*s[38] - 
       565*s[39] + (1835*s[40])/3 - 441*s[41] + (2278*s[42])/3 + 
       (16207*s[43])/33 - (32795*s[44])/66 + (15691*s[45])/33 - 
       (124112*s[46])/33 + (41203*s[47])/198 + (23053*s[48])/198 - 
       (424723*s[49])/198 + (85852*s[50])/33 + (97283*s[51])/198 + 
       (89387*s[52])/198 - (174376*s[53])/99 + (6400*s[54])/33 - 
       (743935*s[55])/66 - (221555*s[56])/66 + (186785*s[57])/33 - 
       (3896045*s[58])/594 + (3825641*s[59])/594 + (35664655*s[60])/1188 - 
       (4273979*s[61])/2673 + 8*s[68] - 8*s[69] + 8*s[70] + 2*s[76] - 
       (4*s[80])/3 + 84*s[82]) + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]^2*
      (-7*s[2] - (93*s[4])/4 + (3005*s[5])/44 + (53*s[6])/11 + 
       (51841*s[7])/88 + (291*s[8])/22 - (2231*s[9])/4 - (1143*s[10])/4 - 
       (52625*s[11])/88 - (6064*s[12])/11 - (21423*s[13])/88 - 
       (24757*s[14])/88 - (7729*s[15])/8 - (48959*s[16])/44 - 
       (97397*s[17])/88 - (493*s[18])/4 - (617*s[19])/4 - (67767*s[20])/44 - 
       (54629*s[21])/88 + (28543*s[22])/88 + (1261*s[23])/22 + 
       (24395*s[24])/33 - (483559*s[25])/792 + (348199*s[26])/792 + 
       (5*s[37])/2 + 20*s[38] - (91*s[39])/2 + (99*s[40])/2 - (63*s[41])/2 + 
       45*s[42] + (1139*s[43])/22 - (2063*s[44])/44 + (2609*s[45])/22 - 
       (6470*s[46])/11 - (183*s[47])/44 + (1819*s[48])/44 - 
       (16017*s[49])/44 + (6045*s[50])/11 + (3623*s[51])/132 + 
       (325*s[52])/44 - (3972*s[53])/11 - (2449*s[54])/11 - 
       (102401*s[55])/44 - (10995*s[56])/44 - (20534*s[57])/33 - 
       (219641*s[58])/396 + (259565*s[59])/396 + (1552289*s[60])/264 - 
       (184634*s[61])/891 + 102*s[82]) + HPL[{1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u]^2*((-3*s[3])/2 + (223*s[4])/4 + (2301*s[5])/44 + 
       (306*s[6])/11 + (785305*s[7])/792 - (48199*s[8])/594 - 
       (91129*s[9])/108 - (36293*s[10])/108 - (841223*s[11])/792 - 
       (217249*s[12])/198 - (477949*s[13])/792 - (44063*s[14])/792 - 
       (112445*s[15])/72 - (179114*s[16])/99 - (409121*s[17])/264 - 
       (26927*s[18])/324 - (102769*s[19])/324 - (7302169*s[20])/3564 - 
       (4694471*s[21])/7128 + (3775225*s[22])/7128 + (356251*s[23])/396 + 
       (4628399*s[24])/3564 - (88586813*s[25])/64152 + 
       (43889789*s[26])/64152 + s[36]/3 + (121*s[37])/12 + (35*s[38])/2 - 
       (441*s[39])/4 + (1511*s[40])/12 - 94*s[41] + (1055*s[42])/6 + 
       (12781*s[43])/132 - (27785*s[44])/264 + (25589*s[45])/264 - 
       (222745*s[46])/264 + (29269*s[47])/792 - (23333*s[48])/792 - 
       (437827*s[49])/792 + (25195*s[50])/33 + (71921*s[51])/792 + 
       (37331*s[52])/792 - (441659*s[53])/792 - (26867*s[54])/132 - 
       (884341*s[55])/264 - (136157*s[56])/264 + (20467*s[57])/132 - 
       (1209193*s[58])/1188 + (3028733*s[59])/2376 + (9013969*s[60])/1188 - 
       (12450047*s[61])/42768 + (3*s[71])/2 + 24*s[79] - (77*s[80])/6 + 
       102*s[82]) + HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - w]*
      (-120*s[2] + 173*s[4] + (15046*s[5])/11 - (300*s[6])/11 + 
       (482848*s[7])/33 - (30742*s[8])/33 - (39305*s[9])/3 - 
       (15964*s[10])/3 - (153906*s[11])/11 - (299649*s[12])/22 - 
       (344755*s[13])/66 - (76201*s[14])/22 - 24177*s[15] - 
       (1701613*s[16])/66 - (793684*s[17])/33 - (11834*s[18])/3 - 
       (6167*s[19])/3 - (1154935*s[20])/33 - (2682521*s[21])/198 + 
       (1497833*s[22])/198 + (469801*s[23])/33 + (1469251*s[24])/99 - 
       (28075001*s[25])/1782 + (18981203*s[26])/1782 + 72*s[37] + 260*s[38] - 
       1196*s[39] + 1292*s[40] - 849*s[41] + 1685*s[42] + (8425*s[43])/11 - 
       (6055*s[44])/11 + (34976*s[45])/11 - (160570*s[46])/11 + 
       (22835*s[47])/33 - (53032*s[48])/33 - (149894*s[49])/33 + 
       (145198*s[50])/11 + (12997*s[51])/11 + (34885*s[52])/33 - 
       (319483*s[53])/33 - (6924*s[54])/11 - (2109563*s[55])/33 - 
       (122028*s[56])/11 - (121334*s[57])/11 - (1653868*s[58])/99 + 
       (1874347*s[59])/99 + (24780035*s[60])/198 - (6460172*s[61])/891 + 
       114*s[82]) + HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - v]*
      ((9214*s[5])/11 + (6473*s[6])/11 + (283685*s[7])/33 - (14899*s[8])/33 - 
       (22997*s[9])/3 - (10033*s[10])/3 - (165449*s[11])/22 - 
       (63743*s[12])/11 - (203915*s[13])/66 - (82211*s[14])/22 - 
       (47881*s[15])/3 - (1017029*s[16])/66 - (1155631*s[17])/66 - 
       (10793*s[18])/9 - (19306*s[19])/9 - (1916503*s[20])/99 - 
       (497413*s[21])/66 + (838907*s[22])/198 + (37969*s[23])/66 + 
       (1948739*s[24])/198 - (286345*s[25])/33 + (66624*s[26])/11 - 
       96*s[37] - 302*s[38] + 8*s[39] - 23*s[40] - 169*s[41] + 305*s[42] - 
       (1993*s[43])/11 + (4181*s[44])/11 + (23235*s[45])/11 - 
       (96454*s[46])/11 + (10393*s[47])/33 - (65936*s[48])/33 + 
       (18794*s[49])/33 + (90702*s[50])/11 + (6097*s[51])/33 + 
       (5123*s[52])/33 - (240029*s[53])/33 + (13828*s[54])/11 - 
       (1597397*s[55])/33 - (102838*s[56])/11 - (674698*s[57])/33 - 
       (73858*s[58])/11 + (307345*s[59])/33 + (14015869*s[60])/198 - 
       (4962086*s[61])/891 + 114*s[82]) + HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1, 1}, 1 - w]*(24*s[2] - (121*s[4])/4 + 
       (1627*s[5])/44 + (1619*s[6])/22 - (52643*s[7])/264 + 
       (17165*s[8])/198 + (5447*s[9])/36 + (2167*s[10])/36 + 
       (37891*s[11])/264 + (13055*s[12])/66 + (10481*s[13])/264 - 
       (66941*s[14])/264 + (7907*s[15])/24 + (33349*s[16])/132 + 
       (11909*s[17])/88 - (77*s[18])/108 + (10709*s[19])/108 + 
       (232871*s[20])/1188 - (267089*s[21])/2376 - (208973*s[22])/2376 - 
       (13447*s[23])/66 - (51241*s[24])/297 + (7176997*s[25])/21384 - 
       (1092637*s[26])/21384 - (3*s[37])/2 + 8*s[38] - (53*s[39])/2 + 
       (53*s[40])/2 - (95*s[41])/2 + 39*s[42] + (569*s[43])/22 - 
       (2285*s[44])/44 - (2333*s[45])/22 + (2014*s[46])/11 + 
       (1457*s[47])/132 + (13139*s[48])/132 - (16757*s[49])/132 - 
       (3248*s[50])/11 + (3133*s[51])/132 - (6719*s[52])/132 + 
       (7124*s[53])/33 - (156*s[54])/11 + (213755*s[55])/132 + 
       (6867*s[56])/44 + (96335*s[57])/66 - (2751*s[58])/44 + 
       (5405*s[59])/132 - (1520995*s[60])/792 + (334333*s[61])/1782 + 
       114*s[82]) + HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - u]*
      (-60*s[3] + 1294*s[4] + (10646*s[5])/11 + (14253*s[6])/11 + 
       (2064269*s[7])/99 - (480365*s[8])/297 - (471667*s[9])/27 - 
       (170996*s[10])/27 - (4338875*s[11])/198 - (4482757*s[12])/198 - 
       (1325759*s[13])/99 - (176656*s[14])/99 - (289771*s[15])/9 - 
       (3597161*s[16])/99 - (689389*s[17])/22 - (172817*s[18])/81 - 
       (460861*s[19])/81 - (36950347*s[20])/891 - (12328915*s[21])/891 + 
       (9585569*s[22])/891 + (3904913*s[23])/198 + (45621289*s[24])/1782 - 
       (459380585*s[25])/16038 + (238262807*s[26])/16038 - (56*s[36])/3 - 
       (20*s[37])/3 + 784*s[38] - 2362*s[39] + (8198*s[40])/3 - 1970*s[41] + 
       (9928*s[42])/3 + (91462*s[43])/33 - (65542*s[44])/33 + 
       (116038*s[45])/33 - (767468*s[46])/33 + (32117*s[47])/99 + 
       (18983*s[48])/99 - (1207109*s[49])/99 + (631438*s[50])/33 + 
       (167617*s[51])/99 + (186484*s[52])/99 - (1439182*s[53])/99 - 
       (29396*s[54])/33 - (3119825*s[55])/33 - (603805*s[56])/33 - 
       (260602*s[57])/33 - (8037391*s[58])/297 + (9812809*s[59])/297 + 
       (121715741*s[60])/594 - (24918917*s[61])/2673 + 576*s[79] - 
       (328*s[80])/3 + 114*s[82]) + HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1}, 
       1 - u]*(-12*s[3] - 22*s[4] + (1275*s[5])/44 + (1269*s[6])/44 + 
       (9311*s[7])/198 - (20089*s[8])/1188 - (8033*s[9])/108 - 
       (301*s[10])/108 - (27143*s[11])/396 - (8308*s[12])/99 + 
       (15749*s[13])/396 - (41963*s[14])/396 - (869*s[15])/36 - 
       (60751*s[16])/396 - (6383*s[17])/66 - (23635*s[18])/324 + 
       (7789*s[19])/81 - (511537*s[20])/1782 - (132299*s[21])/891 + 
       (182041*s[22])/3564 + (44029*s[23])/198 - (22922*s[24])/891 - 
       (1477951*s[25])/64152 + (4350787*s[26])/64152 - (40*s[36])/3 - 
       (19*s[37])/12 + s[38]/2 - 65*s[39] + (187*s[40])/3 - (289*s[41])/4 + 
       (1349*s[42])/12 + (299*s[43])/33 - (7121*s[44])/132 - 
       (2675*s[45])/264 - (64115*s[46])/264 + (4831*s[47])/99 - 
       (5155*s[48])/198 - (36785*s[49])/198 + (8441*s[50])/33 + 
       (48311*s[51])/396 + (1079*s[52])/396 - (109873*s[53])/792 - 
       (10993*s[54])/132 - (5109*s[55])/11 - (22675*s[56])/132 + 
       (508505*s[57])/396 - (490823*s[58])/792 + (231299*s[59])/396 + 
       (10284227*s[60])/4752 - (4049225*s[61])/42768 - (3*s[71])/2 + 
       (35*s[80])/6 + 114*s[82]) + HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 
       1 - u]*(85*s[5] - (475*s[6])/4 + (8765*s[7])/12 - (925*s[8])/36 - 
       (24415*s[9])/36 - (4235*s[10])/9 - (13525*s[11])/24 - 
       (3635*s[12])/24 + (165*s[13])/2 - (1135*s[14])/6 - (28025*s[15])/12 - 
       (3745*s[16])/2 - (62525*s[17])/24 + (31465*s[18])/108 - 
       (82285*s[19])/108 - (54215*s[20])/27 - (32695*s[21])/54 + 
       (39325*s[22])/108 - (6305*s[23])/8 + (358445*s[24])/216 - 
       (1303135*s[25])/1944 + (737035*s[26])/1944 - (5*s[35])/2 + 
       (5*s[36])/2 + 5*s[37] + (125*s[39])/2 - (125*s[40])/2 + 
       (125*s[41])/2 - 120*s[42] + (245*s[43])/2 - 220*s[44] + 
       (465*s[45])/2 - 795*s[46] - 185*s[47] - (155*s[48])/2 - 
       (1465*s[49])/2 + 995*s[50] - (995*s[51])/3 - 215*s[52] - 1115*s[53] - 
       995*s[54] - (21505*s[55])/3 + 225*s[56] - (39125*s[57])/6 + 
       (10520*s[58])/9 + (4960*s[59])/9 + (33025*s[60])/3 - 
       (4865*s[61])/162 + 120*s[82]) + HPL[{1}, 1 - u]*
      HPL[{0, 1, 1, 1, 1, 1}, 1 - w]*(-370*s[4] + 85*s[5] - (2835*s[6])/4 - 
       (12695*s[7])/6 + (11975*s[8])/36 + (51665*s[9])/36 + (875*s[10])/18 + 
       (63335*s[11])/24 + (78085*s[12])/24 + 2525*s[13] - (2665*s[14])/6 + 
       (10885*s[15])/6 + (12955*s[16])/4 + (38155*s[17])/24 + 
       (14335*s[18])/108 + (25745*s[19])/108 + (63520*s[20])/27 + 
       (34925*s[21])/54 - (110465*s[22])/108 - (31635*s[23])/8 - 
       (501565*s[24])/216 + (7766465*s[25])/1944 - (3374825*s[26])/1944 - 
       70*s[38] + (875*s[39])/2 - (907*s[40])/2 + (865*s[41])/2 - 720*s[42] - 
       (875*s[43])/2 + (885*s[44])/4 - 150*s[45] + 2715*s[46] - 
       (515*s[47])/4 - (1155*s[48])/4 + (5785*s[49])/4 - 1530*s[50] - 
       (1785*s[51])/4 - (1655*s[52])/4 + (2325*s[53])/2 - 1030*s[54] + 
       (81265*s[55])/12 + (14085*s[56])/4 - (42025*s[57])/6 + 
       (197035*s[58])/36 - (181825*s[59])/36 - (147545*s[60])/8 + 
       (111625*s[61])/81 + 120*s[82]) + HPL[{1}, 1 - w]^2*Qep[u, v, w]*
      ((-544*s[4])/9 + (15584*s[5])/99 + (3986*s[6])/33 + (108698*s[7])/99 - 
       (15062*s[8])/891 - (82078*s[9])/81 - (40628*s[10])/81 - 
       (294025*s[11])/297 - (215447*s[12])/297 - (87112*s[13])/297 - 
       (256804*s[14])/297 - (56734*s[15])/27 - (641848*s[16])/297 - 
       (732277*s[17])/297 - (63722*s[18])/243 - (35482*s[19])/243 - 
       (8057068*s[20])/2673 - (3589924*s[21])/2673 + (1498994*s[22])/2673 + 
       (11597*s[23])/297 + (3678221*s[24])/2673 - (22090663*s[25])/24057 + 
       (21683107*s[26])/24057 - (128*s[38])/9 + (32*s[39])/3 - (32*s[40])/3 + 
       (116*s[41])/9 - (220*s[42])/9 + (8144*s[43])/99 - (5392*s[44])/99 + 
       (6752*s[45])/33 - (105632*s[46])/99 - (16100*s[47])/297 + 
       (30892*s[48])/297 - (99100*s[49])/297 + (28720*s[50])/33 - 
       (2092*s[51])/99 - (23512*s[52])/297 - (239408*s[53])/297 + 
       (1664*s[54])/33 - (544772*s[55])/99 - (111520*s[56])/99 - 
       (948680*s[57])/297 - (448948*s[58])/891 + (858784*s[59])/891 + 
       (8997968*s[60])/891 - (475450*s[61])/891 + 128*s[82]) + 
     HPL[{1}, 1 - u]^2*Qep[v, w, u]*((-128*s[3])/3 - (7496*s[5])/33 - 
       (5854*s[6])/33 - (28568*s[7])/11 + (14038*s[8])/99 + (21014*s[9])/9 + 
       (8872*s[10])/9 + (82075*s[11])/33 + (73961*s[12])/33 + 
       (39712*s[13])/33 + (11596*s[14])/11 + (12904*s[15])/3 + 
       (50954*s[16])/11 + (51737*s[17])/11 + (15070*s[18])/27 + 
       (11546*s[19])/27 + (1768028*s[20])/297 + (752420*s[21])/297 - 
       (395290*s[22])/297 - (51053*s[23])/33 - (833809*s[24])/297 + 
       (7409399*s[25])/2673 - (5411795*s[26])/2673 - (160*s[38])/3 + 
       224*s[39] - 224*s[40] + 148*s[41] - (988*s[42])/3 - (10480*s[43])/33 + 
       (6890*s[44])/33 - (13232*s[45])/33 + (86128*s[46])/33 - 
       (406*s[47])/33 - (1726*s[48])/33 + (42710*s[49])/33 - 
       (71648*s[50])/33 - (9734*s[51])/99 - (1478*s[52])/33 + 
       (60884*s[53])/33 + (1600*s[54])/11 + (126366*s[55])/11 + 
       (24722*s[56])/11 + (216296*s[57])/99 + (835394*s[58])/297 - 
       (1123502*s[59])/297 - (2261795*s[60])/99 + (3038234*s[61])/2673 + 
       128*s[82]) + HPL[{1}, 1 - u]^2*Qep[u, v, w]*((-128*s[3])/3 - 
       (22672*s[5])/99 - (18278*s[6])/99 - (263444*s[7])/99 + 
       (133858*s[8])/891 + (192578*s[9])/81 + (81112*s[10])/81 + 
       (758261*s[11])/297 + (689443*s[12])/297 + (366332*s[13])/297 + 
       (324728*s[14])/297 + (118604*s[15])/27 + (1400330*s[16])/297 + 
       (1414517*s[17])/297 + (140098*s[18])/243 + (103238*s[19])/243 + 
       (16365812*s[20])/2673 + (6931376*s[21])/2673 - (3637186*s[22])/2673 - 
       (466927*s[23])/297 - (7684843*s[24])/2673 + (68536937*s[25])/24057 - 
       (50074517*s[26])/24057 + (128*s[37])/9 - (160*s[38])/3 + 
       (1952*s[39])/9 - (1952*s[40])/9 + (1244*s[41])/9 - (2804*s[42])/9 - 
       (33424*s[43])/99 + (2402*s[44])/11 - (40768*s[45])/99 + 
       (88192*s[46])/33 - (314*s[47])/297 - (28562*s[48])/297 + 
       (399890*s[49])/297 - (217504*s[50])/99 - (2870*s[51])/33 - 
       (8842*s[52])/297 + (558124*s[53])/297 + (1280*s[54])/11 + 
       (3486046*s[55])/297 + (228550*s[56])/99 + (246992*s[57])/99 + 
       (2489434*s[58])/891 - (3365878*s[59])/891 - (21020281*s[60])/891 + 
       (9336842*s[61])/8019 + 128*s[82]) + HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - u]*
      (-120*s[2] - 99*s[3] - 277*s[4] + (4232*s[5])/11 - (31272*s[6])/11 + 
       (106303*s[7])/33 + (8084*s[8])/33 - (11411*s[9])/3 - (12625*s[10])/3 - 
       (7471*s[11])/11 + (26264*s[12])/11 + (135649*s[13])/33 - 
       (9595*s[14])/11 - 13169*s[15] - (264482*s[16])/33 - 
       (478936*s[17])/33 + (4574*s[18])/3 - 5349*s[19] - (356462*s[20])/33 - 
       (202234*s[21])/99 + (174292*s[22])/99 - (489233*s[23])/33 + 
       (792505*s[24])/99 + (139223*s[25])/891 - (465617*s[26])/891 - 
       24*s[32] - 240*s[37] - 132*s[38] + 1240*s[39] - 1417*s[40] + 
       422*s[41] - 1818*s[42] - (10710*s[43])/11 + (17576*s[44])/11 + 
       (20432*s[45])/11 - (23572*s[46])/11 - (9016*s[47])/33 - 
       (75742*s[48])/33 + (52150*s[49])/33 + (86468*s[50])/11 - 
       (5920*s[51])/11 - (41948*s[52])/33 - (183286*s[53])/33 - 
       (52472*s[54])/11 - (1285682*s[55])/33 + (39906*s[56])/11 - 
       (657696*s[57])/11 + (1461818*s[58])/99 - (821444*s[59])/99 + 
       (5045866*s[60])/99 - (515708*s[61])/891 + 180*s[82]) + 
     HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - w]*(-240*s[3] + 1220*s[4] + 
       (8390*s[5])/11 - (769*s[6])/11 + (1729846*s[7])/99 - 
       (363691*s[8])/297 - (388436*s[9])/27 - (183091*s[10])/27 - 
       (3439681*s[11])/198 - (1567228*s[12])/99 - (2052101*s[13])/198 + 
       (189179*s[14])/198 - (279350*s[15])/9 - (6130937*s[16])/198 - 
       (2015489*s[17])/66 + (119411*s[18])/81 - (772040*s[19])/81 - 
       (28036736*s[20])/891 - (14655403*s[21])/1782 + (15708749*s[22])/1782 + 
       (364063*s[23])/198 + (47409443*s[24])/1782 - (198538640*s[25])/8019 + 
       (82552598*s[26])/8019 - 48*s[30] + 96*s[35] - (880*s[36])/3 - 
       (112*s[37])/3 + 430*s[38] - 848*s[39] + (2605*s[40])/3 - 1009*s[41] + 
       (3029*s[42])/3 + (66683*s[43])/33 - (24371*s[44])/33 + 
       (140903*s[45])/33 - (664474*s[46])/33 - (35276*s[47])/99 - 
       (75305*s[48])/99 - (872611*s[49])/99 + (636308*s[50])/33 + 
       (75728*s[51])/99 + (26429*s[52])/99 - (1539209*s[53])/99 - 
       (151168*s[54])/33 - (3342088*s[55])/33 - (404509*s[56])/33 - 
       (4878532*s[57])/99 - (1145237*s[58])/99 + (681220*s[59])/33 + 
       (57729653*s[60])/297 - (20467784*s[61])/2673 + 48*s[62] + 144*s[76] - 
       192*s[79] + (496*s[80])/3 + 180*s[82]) + 
     HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - v]*(-183*s[2] - 211*s[4] + 
       (30104*s[5])/11 - (461*s[6])/11 + (693197*s[7])/33 - 
       (60839*s[8])/297 - (542560*s[9])/27 - (248216*s[10])/27 - 
       (3744953*s[11])/198 - (1470263*s[12])/99 - (958217*s[13])/198 - 
       (2242481*s[14])/198 - (357116*s[15])/9 - (7740215*s[16])/198 - 
       (8534843*s[17])/198 - (387761*s[18])/81 - (371548*s[19])/81 - 
       (49109260*s[20])/891 - (40199141*s[21])/1782 + (19563853*s[22])/1782 + 
       (553681*s[23])/198 + (44728633*s[24])/1782 - (152246086*s[25])/8019 + 
       (124144522*s[26])/8019 - 24*s[27] - 144*s[31] - 180*s[33] + 96*s[34] - 
       (880*s[36])/3 - (112*s[37])/3 + 430*s[38] - 848*s[39] + 
       (2704*s[40])/3 - 1009*s[41] + (3029*s[42])/3 + (66683*s[43])/33 - 
       (24371*s[44])/33 + (141992*s[45])/33 - (664474*s[46])/33 - 
       (35276*s[47])/99 - (75305*s[48])/99 - (872611*s[49])/99 + 
       (636308*s[50])/33 + (75728*s[51])/99 + (26429*s[52])/99 - 
       (1539209*s[53])/99 - (144832*s[54])/33 - (3344167*s[55])/33 - 
       (409261*s[56])/33 - (4955158*s[57])/99 - (1118507*s[58])/99 + 
       (672310*s[59])/33 + (57884390*s[60])/297 - (20156825*s[61])/2673 + 
       48*s[62] - 48*s[69] + 144*s[76] - 192*s[79] + (496*s[80])/3 + 
       180*s[82]) + HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - w]*
      (-520*s[2] - 430*s[4] + (26270*s[5])/11 - (21095*s[6])/11 + 
       (713105*s[7])/33 - (111835*s[8])/99 - (181985*s[9])/9 - 
       (89140*s[10])/9 - (1273165*s[11])/66 - (1135415*s[12])/66 - 
       (41990*s[13])/11 - (194210*s[14])/33 - (118685*s[15])/3 - 
       (434190*s[16])/11 - (2654045*s[17])/66 - (160855*s[18])/27 - 
       (120335*s[19])/27 - (16495580*s[20])/297 - (6209480*s[21])/297 + 
       (3348835*s[22])/297 + (320095*s[23])/22 + (13456205*s[24])/594 - 
       (109147825*s[25])/5346 + (77856265*s[26])/5346 + 120*s[37] + 
       310*s[38] - 1220*s[39] + 1348*s[40] - 550*s[41] + 1510*s[42] + 
       (5930*s[43])/11 - (2745*s[44])/11 + (58920*s[45])/11 - 
       (220140*s[46])/11 + (9915*s[47])/11 - (36395*s[48])/11 - 
       (70115*s[49])/11 + (238460*s[50])/11 + (40385*s[51])/33 + 
       (9675*s[52])/11 - (167600*s[53])/11 - (60220*s[54])/11 - 
       (3335635*s[55])/33 - (106255*s[56])/11 - (1326610*s[57])/33 - 
       (1519225*s[58])/99 + (2080285*s[59])/99 + (4191305*s[60])/22 - 
       (8391940*s[61])/891 + 240*s[82]) + HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - v]*
      ((10050*s[5])/11 + (1160*s[6])/11 + (329005*s[7])/33 - (6510*s[8])/11 - 
       9040*s[9] - 4480*s[10] - (88065*s[11])/11 - (52875*s[12])/11 - 
       (93680*s[13])/33 - (38900*s[14])/11 - (62615*s[15])/3 - 
       (600755*s[16])/33 - (760465*s[17])/33 + (1090*s[18])/9 - 
       (41410*s[19])/9 - (2113480*s[20])/99 - (697670*s[21])/99 + 
       (52670*s[22])/11 - (229280*s[23])/33 + (143360*s[24])/11 - 
       (8776535*s[25])/891 + (5196245*s[26])/891 - 160*s[37] - 670*s[38] + 
       670*s[39] - 702*s[40] + 350*s[41] - 430*s[42] - (10980*s[43])/11 + 
       (13685*s[44])/11 + (35830*s[45])/11 - (113900*s[46])/11 + 
       (16025*s[47])/33 - (131155*s[48])/33 + (112525*s[49])/33 + 
       (125660*s[50])/11 - (7675*s[51])/33 - (8495*s[52])/33 - 
       (340690*s[53])/33 + (6260*s[54])/11 - (2296975*s[55])/33 - 
       (111495*s[56])/11 - (1434050*s[57])/33 - (97505*s[58])/33 + 
       (252895*s[59])/33 + (17264015*s[60])/198 - (6464785*s[61])/891 + 
       240*s[82]) + HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
      (-30*s[3] + 73*s[4] + (657*s[5])/11 + (9849*s[6])/44 + 
       (110779*s[7])/66 - (61315*s[8])/396 - (51065*s[9])/36 - 
       (4759*s[10])/9 - (242783*s[11])/132 - (506195*s[12])/264 - 
       (110591*s[13])/88 - (99391*s[14])/264 - (6845*s[15])/3 - 
       (256577*s[16])/88 - (80362*s[17])/33 - (20785*s[18])/108 - 
       (9992*s[19])/27 - (991394*s[20])/297 - (2756125*s[21])/2376 + 
       (2111345*s[22])/2376 + (37151*s[23])/44 + (1246811*s[24])/594 - 
       (24746561*s[25])/10692 + (13246631*s[26])/10692 - 6*s[37] + 41*s[38] - 
       (629*s[39])/4 + (605*s[40])/4 - (333*s[41])/2 + 262*s[42] + 
       (8739*s[43])/44 - (7521*s[44])/44 + (8809*s[45])/44 - 
       (20558*s[46])/11 + (2539*s[47])/44 + (1237*s[48])/11 - 
       (9970*s[49])/11 + (65889*s[50])/44 + (27311*s[51])/132 + 
       (937*s[52])/11 - (46737*s[53])/44 - (2149*s[54])/22 - 
       (443381*s[55])/66 - (17107*s[56])/11 - (739*s[57])/44 - 
       (105579*s[58])/44 + (109213*s[59])/44 + (1432097*s[60])/88 - 
       (233026*s[61])/297 + 240*s[82]) + HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - u]*
      (60*s[3] + 2450*s[4] + (20110*s[5])/11 + (18065*s[6])/11 + 
       (3858505*s[7])/99 - (838645*s[8])/297 - (884735*s[9])/27 - 
       (345160*s[10])/27 - (8062195*s[11])/198 - (8144165*s[12])/198 - 
       (2409775*s[13])/99 - (240200*s[14])/99 - (563375*s[15])/9 - 
       (6841465*s[16])/99 - (4046975*s[17])/66 - (248785*s[18])/81 - 
       (1015925*s[19])/81 - (69174155*s[20])/891 - (22838525*s[21])/891 + 
       (17916565*s[22])/891 + (6837445*s[23])/198 + (88584365*s[24])/1782 - 
       (854539825*s[25])/16038 + (436815355*s[26])/16038 + (440*s[36])/3 + 
       (20*s[37])/3 + 1520*s[38] - 4190*s[39] + (14530*s[40])/3 - 
       3430*s[41] + (17120*s[42])/3 + (177290*s[43])/33 - (123680*s[44])/33 + 
       (230330*s[45])/33 - (1448020*s[46])/33 + (17515*s[47])/99 + 
       (40945*s[48])/99 - (2435035*s[49])/99 + (1224350*s[50])/33 + 
       (238415*s[51])/99 + (289970*s[52])/99 - (2825870*s[53])/99 - 
       (197380*s[54])/33 - (6155375*s[55])/33 - (1036075*s[56])/33 - 
       (2763010*s[57])/99 - (1535825*s[58])/33 + (6035005*s[59])/99 + 
       (235093855*s[60])/594 - (44092025*s[61])/2673 + 960*s[79] - 
       (440*s[80])/3 + 240*s[82]) + HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u]*((-15*s[3])/2 + (15*s[4])/2 + (1941*s[5])/22 + 
       (496*s[6])/11 + (275773*s[7])/264 - (7538*s[8])/99 - (16637*s[9])/18 - 
       (7465*s[10])/18 - (141781*s[11])/132 - (271213*s[12])/264 - 
       (138547*s[13])/264 - (88523*s[14])/264 - (13561*s[15])/8 - 
       (65195*s[16])/33 - (81589*s[17])/44 - (6931*s[18])/54 - 
       (15383*s[19])/54 - (716449*s[20])/297 - (2170397*s[21])/2376 + 
       (1334107*s[22])/2376 + (98309*s[23])/264 + (3234427*s[24])/2376 - 
       (13108561*s[25])/10692 + (4032755*s[26])/5346 + 12*s[35] - 10*s[36] - 
       (89*s[37])/4 - (3*s[38])/2 - (129*s[39])/2 + (119*s[40])/2 - 
       (153*s[41])/2 + (301*s[42])/2 + (93*s[43])/2 - (253*s[44])/4 + 
       (563*s[45])/8 - (6585*s[46])/8 + (99*s[47])/2 - (143*s[48])/2 - 
       (749*s[49])/2 + (3259*s[50])/4 + (1237*s[51])/12 - (35*s[52])/4 - 
       (4777*s[53])/8 - (465*s[54])/4 - (42997*s[55])/12 - (1291*s[56])/2 - 
       (1473*s[57])/4 - (7805*s[58])/8 + 1159*s[59] + (364531*s[60])/48 - 
       (52249*s[61])/144 + (3*s[62])/2 + (3*s[71])/2 - 12*s[79] + 
       (5*s[80])/2 + 240*s[82]) + HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - u]*
      (-200*s[2] - 112*s[3] - 448*s[4] + (10344*s[5])/11 - (59064*s[6])/11 + 
       (297148*s[7])/33 + (9256*s[8])/33 - (29200*s[9])/3 - (27008*s[10])/3 - 
       (45772*s[11])/11 + (18016*s[12])/11 + (209092*s[13])/33 - 
       (21468*s[14])/11 - 29572*s[15] - (668744*s[16])/33 - 
       (1062268*s[17])/33 + (22412*s[18])/9 - (98792*s[19])/9 - 
       (2626904*s[20])/99 - (65244*s[21])/11 + (476876*s[22])/99 - 
       (852812*s[23])/33 + (1829096*s[24])/99 - (1000832*s[25])/297 + 
       (302504*s[26])/297 - 40*s[32] - 400*s[37] - 160*s[38] + 2032*s[39] - 
       2384*s[40] + 576*s[41] - 3024*s[42] - (18192*s[43])/11 + 
       (31272*s[44])/11 + (45328*s[45])/11 - (77984*s[46])/11 - 
       (11416*s[47])/33 - (154504*s[48])/33 + (60472*s[49])/33 + 
       (195056*s[50])/11 - (8152*s[51])/11 - (70760*s[52])/33 - 
       (413536*s[53])/33 - (101872*s[54])/11 - (957400*s[55])/11 + 
       (49048*s[56])/11 - (3788728*s[57])/33 + (2414008*s[58])/99 - 
       (1148008*s[59])/99 + (12173332*s[60])/99 - (760024*s[61])/297 + 
       384*s[82]) + HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - w]*
      (-400*s[3] + 2620*s[4] + (17824*s[5])/11 + (1700*s[6])/11 + 
       (1231246*s[7])/33 - (788996*s[8])/297 - (829000*s[9])/27 - 
       (380168*s[10])/27 - (3702070*s[11])/99 - (3433184*s[12])/99 - 
       (2237146*s[13])/99 + (180986*s[14])/99 - (584006*s[15])/9 - 
       (6504088*s[16])/99 - (6304930*s[17])/99 + (181144*s[18])/81 - 
       (1550068*s[19])/81 - (59959252*s[20])/891 - (16198018*s[21])/891 + 
       (16786454*s[22])/891 + (826880*s[23])/99 + (49217048*s[24])/891 - 
       (424142968*s[25])/8019 + (180265072*s[26])/8019 - 80*s[30] + 
       160*s[35] - 560*s[36] - (80*s[37])/3 + 960*s[38] - 2124*s[39] + 
       2204*s[40] - 2332*s[41] + 2628*s[42] + (47412*s[43])/11 - 
       (20142*s[44])/11 + (292492*s[45])/33 - (1416232*s[46])/33 - 
       (16454*s[47])/33 - (51698*s[48])/33 - (622342*s[49])/33 + 
       (444448*s[50])/11 + (64006*s[51])/33 + (30770*s[52])/33 - 
       (3196496*s[53])/99 - (293296*s[54])/33 - (6932278*s[55])/33 - 
       (2684878*s[56])/99 - (27441836*s[57])/297 - (25333094*s[58])/891 + 
       (41065670*s[59])/891 + (13453189*s[60])/33 - (132957500*s[61])/8019 + 
       80*s[62] + 240*s[76] - 320*s[79] + (1040*s[80])/3 + 384*s[82]) + 
     HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - v]*(-280*s[2] - 288*s[4] + 
       (60900*s[5])/11 + (2756*s[6])/11 + (1463060*s[7])/33 - 
       (175724*s[8])/297 - (1139368*s[9])/27 - (507524*s[10])/27 - 
       (4006660*s[11])/99 - (3246404*s[12])/99 - (1151512*s[13])/99 - 
       (2264776*s[14])/99 - (737096*s[15])/9 - (8093236*s[16])/99 - 
       (8752144*s[17])/99 - (820868*s[18])/81 - (739936*s[19])/81 - 
       (102202816*s[20])/891 - (41599900*s[21])/891 + (20693720*s[22])/891 + 
       (866084*s[23])/99 + (46608332*s[24])/891 - (332075806*s[25])/8019 + 
       (262665214*s[26])/8019 - 40*s[27] - 240*s[31] - 300*s[33] + 
       160*s[34] - 560*s[36] - (80*s[37])/3 + 960*s[38] - 2124*s[39] + 
       2284*s[40] - 2332*s[41] + 2628*s[42] + (47412*s[43])/11 - 
       (20142*s[44])/11 + (295132*s[45])/33 - (1416232*s[46])/33 - 
       (16454*s[47])/33 - (51698*s[48])/33 - (622342*s[49])/33 + 
       (444448*s[50])/11 + (64006*s[51])/33 + (30770*s[52])/33 - 
       (3196496*s[53])/99 - (282736*s[54])/33 - (6934918*s[55])/33 - 
       (2708638*s[56])/99 - (27869516*s[57])/297 - (24857894*s[58])/891 + 
       (40590470*s[59])/891 + (13484869*s[60])/33 - (131246780*s[61])/8019 + 
       80*s[62] - 80*s[69] + 240*s[76] - 320*s[79] + (1040*s[80])/3 + 
       384*s[82]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 1 - w]*
      (92*s[2] - 67*s[4] + (1855*s[5])/11 + (4196*s[6])/11 - (6497*s[7])/22 + 
       (28882*s[8])/99 + (1751*s[9])/9 + (1723*s[10])/9 - (1457*s[11])/66 + 
       (1942*s[12])/33 - (19643*s[13])/66 - (63065*s[14])/66 + 
       (1529*s[15])/2 + (6797*s[16])/33 + (7267*s[17])/66 - (2993*s[18])/27 + 
       (10295*s[19])/27 - (59539*s[20])/297 - (481385*s[21])/594 - 
       (50261*s[22])/594 + (1940*s[23])/33 - (50098*s[24])/297 + 
       (2938981*s[25])/5346 + (1154939*s[26])/5346 - 2*s[37] + 56*s[38] - 
       190*s[39] + 206*s[40] - 262*s[41] + 280*s[42] + (1846*s[43])/11 - 
       (3079*s[44])/11 - (3550*s[45])/11 + (1248*s[46])/11 + 
       (2935*s[47])/33 + (12901*s[48])/33 - (24403*s[49])/33 - 
       (9068*s[50])/11 + (1893*s[51])/11 - (4117*s[52])/33 + 
       (19384*s[53])/33 + (980*s[54])/11 + (152725*s[55])/33 - 
       (307*s[56])/11 + (76112*s[57])/11 - (140693*s[58])/99 + 
       (124865*s[59])/99 - (633029*s[60])/198 + (405980*s[61])/891 + 
       504*s[82]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 1}, 1 - u]*
      (-66*s[3] - 43*s[4] + (1151*s[5])/11 + (1820*s[6])/11 + 
       (102259*s[7])/198 - (3998*s[8])/33 - (1655*s[9])/3 - (95*s[10])/3 - 
       (45259*s[11])/66 - (9612*s[12])/11 - (36599*s[13])/198 - 
       (23047*s[14])/66 - (7471*s[15])/18 - (112456*s[16])/99 - 
       (122365*s[17])/198 - (7963*s[18])/27 + (8539*s[19])/27 - 
       (495029*s[20])/297 - (399479*s[21])/594 + (75859*s[22])/198 + 
       (133475*s[23])/99 + (31279*s[24])/99 - (3872417*s[25])/5346 + 
       (2708249*s[26])/5346 - (212*s[36])/3 - 3*s[37] + 26*s[38] - 
       335*s[39] + (1025*s[40])/3 - 352*s[41] + (1666*s[42])/3 + 
       (3067*s[43])/33 - (19127*s[44])/66 - (119*s[45])/22 - 
       (89255*s[46])/66 + (45283*s[47])/198 - (17219*s[48])/198 - 
       (193093*s[49])/198 + (42940*s[50])/33 + (112151*s[51])/198 + 
       (15053*s[52])/198 - (140917*s[53])/198 - (6445*s[54])/33 - 
       (188147*s[55])/66 - (207553*s[56])/198 + (1745573*s[57])/297 - 
       (2826481*s[58])/891 + (5326433*s[59])/1782 + (3589129*s[60])/297 - 
       (17362771*s[61])/32076 - 6*s[71] + 32*s[79] + 14*s[80] + 504*s[82]) + 
     D35[u, v, w]*((21*s[2])/2 + (31*s[3])/4 + (1491*s[4])/8 + 
       (2560*s[5])/11 + (39685*s[6])/88 + (2043575*s[7])/528 - 
       (664043*s[8])/2376 - (89408*s[9])/27 - (109819*s[10])/108 - 
       (6720287*s[11])/1584 - (1806751*s[12])/396 - (4326785*s[13])/1584 - 
       (1022915*s[14])/1584 - (750163*s[15])/144 - (2598143*s[16])/396 - 
       (8273249*s[17])/1584 - (126977*s[18])/162 - (324103*s[19])/648 - 
       (55792951*s[20])/7128 - (43228349*s[21])/14256 + 
       (29047345*s[22])/14256 + (1752853*s[23])/396 + (3666445*s[24])/891 - 
       (337779829*s[25])/64152 + (196238197*s[26])/64152 + 6*s[31] + 
       (15*s[33])/4 - 12*s[34] - 3*s[35] - 19*s[36] + (113*s[37])/6 + 
       142*s[38] - (1183*s[39])/2 + (1257*s[40])/2 - (957*s[41])/2 + 
       860*s[42] + (9921*s[43])/22 - (44383*s[44])/88 + (60685*s[45])/132 - 
       (518965*s[46])/132 + (71441*s[47])/264 - (22147*s[48])/264 - 
       (565883*s[49])/264 + (65173*s[50])/22 + (50019*s[51])/88 + 
       (123403*s[52])/264 - (205253*s[53])/99 + (3637*s[54])/66 - 
       (1123807*s[55])/88 - (2656295*s[56])/792 + (5958979*s[57])/1188 - 
       (46334683*s[58])/7128 + (47085121*s[59])/7128 + (5470103*s[60])/176 - 
       (106234063*s[61])/64152 - s[65] - 4*s[66] + 6*s[67] + 2*s[68] + 
       10*s[69] + s[71] + 6*s[72] - 6*s[73] - (9*s[74])/2 + (9*s[75])/2 - 
       4*s[76] - 3*s[77] + 14*s[78] + 8*s[79] - s[80]/3 + 6*s[83]) + 
     HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - w]*(-634*s[2] - 528*s[3] - 7338*s[4] - 
       (56252*s[5])/11 - (156252*s[6])/11 - (1141801*s[7])/11 + 
       (888076*s[8])/99 + (792941*s[9])/9 + (196600*s[10])/9 + 
       (7604671*s[11])/66 + (4217122*s[12])/33 + (5227633*s[13])/66 + 
       (787249*s[14])/66 + 134778*s[15] + (11292535*s[16])/66 + 
       (8337991*s[17])/66 + (583996*s[18])/27 + (239489*s[19])/27 + 
       (60249704*s[20])/297 + (47068765*s[21])/594 - (32403029*s[22])/594 - 
       (9784691*s[23])/66 - (62797049*s[24])/594 + (782623957*s[25])/5346 - 
       (450534631*s[26])/5346 - 12*s[28] - 72*s[29] - 20*s[30] + 8*s[31] - 
       18*s[32] + 227*s[33] + 80*s[34] + 12*s[35] + (446*s[36])/3 - 
       (2225*s[37])/3 - 3984*s[38] + (31703*s[39])/2 - (109489*s[40])/6 + 
       (27903*s[41])/2 - (144797*s[42])/6 - (824303*s[43])/66 + 
       (1776859*s[44])/132 - (791203*s[45])/66 + (1131759*s[46])/11 - 
       (3058949*s[47])/396 + (947845*s[48])/396 + (19354751*s[49])/396 - 
       (2384026*s[50])/33 - (6800707*s[51])/396 - (5847973*s[52])/396 + 
       (1659628*s[53])/33 - (179194*s[54])/11 + (14124695*s[55])/44 + 
       (40810417*s[56])/396 - (54383620*s[57])/297 + (677340557*s[58])/3564 - 
       (661298741*s[59])/3564 - (1858556003*s[60])/2376 + 
       (364612778*s[61])/8019 + 96*s[63] + 8*s[64] - 36*s[65] - 64*s[66] + 
       96*s[67] - 248*s[68] + 192*s[69] - 672*s[70] + 48*s[71] - 56*s[72] + 
       96*s[73] + 32*s[74] - 40*s[75] - 152*s[76] + 816*s[77] + 80*s[78] - 
       2104*s[79] + (1334*s[80])/3 + 4128*s[82] + 102*s[83] - 804*s[84]) + 
     HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - u]*(-76*s[2] - 245*s[3] - 
       (18527*s[4])/2 - (60658*s[5])/11 - (392173*s[6])/22 - 
       (17108815*s[7])/132 + (6949589*s[8])/594 + (2936186*s[9])/27 + 
       (709219*s[10])/27 + (57472385*s[11])/396 + (16370218*s[12])/99 + 
       (40156211*s[13])/396 + (5470409*s[14])/396 + (5705731*s[15])/36 + 
       (41583679*s[16])/198 + (58628183*s[17])/396 + (2344276*s[18])/81 + 
       (1594759*s[19])/162 + (445797673*s[20])/1782 + 
       (329705567*s[21])/3564 - (240640027*s[22])/3564 - 
       (36294509*s[23])/198 - (227378747*s[24])/1782 + 
       (2998835425*s[25])/16038 - (1665576271*s[26])/16038 + 4*s[30] - 
       40*s[31] - 176*s[32] + 35*s[33] + 68*s[34] + 408*s[35] + 
       (1028*s[36])/3 - (1444*s[37])/3 - 6180*s[38] + 23470*s[39] - 
       (78602*s[40])/3 + 19960*s[41] - (102484*s[42])/3 - (607048*s[43])/33 + 
       (657691*s[44])/33 - (598837*s[45])/33 + (5118701*s[46])/33 - 
       (1110683*s[47])/99 + (113023*s[48])/99 + (7767755*s[49])/99 - 
       (3668548*s[50])/33 - (2384731*s[51])/99 - (2146345*s[52])/99 + 
       (7458937*s[53])/99 - (599422*s[54])/33 + (15738133*s[55])/33 + 
       (1580671*s[56])/11 - (23169665*s[57])/99 + (80334152*s[58])/297 - 
       (77754299*s[59])/297 - (358235950*s[60])/297 + (40271569*s[61])/594 + 
       12*s[64] + 12*s[65] - 224*s[68] + 8*s[69] - 288*s[70] + 60*s[71] - 
       32*s[72] - 40*s[73] + 124*s[74] - 116*s[75] + 228*s[76] + 372*s[77] - 
       224*s[78] - 2472*s[79] + (1516*s[80])/3 + 2*s[81] + 4128*s[82] + 
       102*s[83] - 804*s[84]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v]*((-177*s[2])/4 + (53*s[3])/8 - 
       (34715*s[4])/16 - (183015*s[5])/176 - (34131*s[6])/11 - 
       (29799427*s[7])/1056 + (2061715*s[8])/792 + (3413533*s[9])/144 + 
       (916601*s[10])/144 + (33291809*s[11])/1056 + (18709571*s[12])/528 + 
       (22968985*s[13])/1056 + (1288943*s[14])/1056 + (3457639*s[15])/96 + 
       (24496481*s[16])/528 + (11688579*s[17])/352 + (2240549*s[18])/432 + 
       (1585177*s[19])/432 + (254146483*s[20])/4752 + 
       (179938511*s[21])/9504 - (141654253*s[22])/9504 - 
       (20883085*s[23])/528 - (139828433*s[24])/4752 + 
       (3524456333*s[25])/85536 - (1857763469*s[26])/85536 + (3*s[30])/2 - 
       30*s[31] + (31*s[32])/4 - (351*s[33])/8 + (99*s[34])/2 - 6*s[35] + 
       (185*s[36])/2 - (287*s[37])/4 - 1336*s[38] + (41189*s[39])/8 - 
       (45525*s[40])/8 + (35823*s[41])/8 - (59565*s[42])/8 - 
       (392771*s[43])/88 + (812949*s[44])/176 - (366947*s[45])/88 + 
       (1579367*s[46])/44 - (969187*s[47])/528 - (149929*s[48])/528 + 
       (10447357*s[49])/528 - (1198521*s[50])/44 - (890467*s[51])/176 - 
       (2191391*s[52])/528 + (616288*s[53])/33 - (41675*s[54])/44 + 
       (20575179*s[55])/176 + (16320715*s[56])/528 - (16334749*s[57])/396 + 
       (275586431*s[58])/4752 - (279788207*s[59])/4752 - 
       (921184357*s[60])/3168 + (155393351*s[61])/10692 - 6*s[67] - 
       (9*s[68])/2 - (15*s[69])/2 + (21*s[70])/2 + 6*s[71] - 18*s[72] + 
       24*s[73] + 24*s[74] - 24*s[75] + 39*s[76] + (9*s[77])/2 - 18*s[78] - 
       468*s[79] + (125*s[80])/2 + 537*s[82] - 216*s[84]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1}, 1 - w]*(24*s[2] - (603*s[3])/2 - 
       (7189*s[4])/4 - (21651*s[5])/44 - (42971*s[6])/22 - 
       (5083201*s[7])/264 + (213556*s[8])/99 + (569159*s[9])/36 + 
       (140185*s[10])/36 + (5632087*s[11])/264 + (3231799*s[12])/132 + 
       (1302057*s[13])/88 - (147539*s[14])/264 + (581689*s[15])/24 + 
       (1366109*s[16])/44 + (5564435*s[17])/264 + (408145*s[18])/108 + 
       (243287*s[19])/108 + (41872559*s[20])/1188 + (27190081*s[21])/2376 - 
       (23580575*s[22])/2376 - (1407141*s[23])/44 - (22968883*s[24])/1188 + 
       (620011357*s[25])/21384 - (308456125*s[26])/21384 - 12*s[30] + 
       12*s[31] - 9*s[32] - 30*s[33] - 36*s[34] - 30*s[35] - 73*s[36] - 
       (301*s[37])/2 - 806*s[38] + (13587*s[39])/4 - (15479*s[40])/4 + 
       (11723*s[41])/4 - (19735*s[42])/4 - (124853*s[43])/44 + 
       (246359*s[44])/88 - (150371*s[45])/44 + (284048*s[46])/11 - 
       (119803*s[47])/88 + (20711*s[48])/88 + (1028825*s[49])/88 - 
       (211614*s[50])/11 - (310065*s[51])/88 - (257095*s[52])/88 + 
       (451922*s[53])/33 - (32957*s[54])/11 + (23003863*s[55])/264 + 
       (6452213*s[56])/264 - (2768848*s[57])/99 + (99647257*s[58])/2376 - 
       (99057901*s[59])/2376 - (36212983*s[60])/176 + 
       (121025759*s[61])/10692 - 12*s[65] - 48*s[66] + 72*s[67] + 18*s[68] + 
       126*s[69] + 36*s[70] + 12*s[71] + 24*s[72] - 72*s[73] - 9*s[74] + 
       9*s[75] + 60*s[76] - 60*s[77] + 84*s[78] - 504*s[79] + 95*s[80] + 
       312*s[82] + 36*s[83] - 216*s[84]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1, 1, 1}, 1 - u]*(93*s[2] - (543*s[3])/2 - 
       (7635*s[4])/4 - (24757*s[5])/44 - (45801*s[6])/22 - 
       (1861919*s[7])/88 + (494903*s[8])/198 + (627527*s[9])/36 + 
       (155671*s[10])/36 + (6197911*s[11])/264 + (3575203*s[12])/132 + 
       (4311667*s[13])/264 - (160499*s[14])/264 + (210243*s[15])/8 + 
       (4483139*s[16])/132 + (6051775*s[17])/264 + (449773*s[18])/108 + 
       (274901*s[19])/108 + (45945731*s[20])/1188 + (29774737*s[21])/2376 - 
       (25921883*s[22])/2376 - (4531861*s[23])/132 - (25338661*s[24])/1188 + 
       (680800075*s[25])/21384 - (338413003*s[26])/21384 - 18*s[30] + 
       48*s[31] - 6*s[32] + (75*s[33])/2 - 66*s[34] + 30*s[35] - 78*s[36] - 
       (201*s[37])/2 - 911*s[38] + (7441*s[39])/2 - (8353*s[40])/2 + 
       3190*s[41] - 5364*s[42] - (67751*s[43])/22 + (135687*s[44])/44 - 
       (167557*s[45])/44 + (1253757*s[46])/44 - (200347*s[47])/132 + 
       (29003*s[48])/132 + (1700821*s[49])/132 - (234665*s[50])/11 - 
       (518435*s[51])/132 - (435485*s[52])/132 + (1981511*s[53])/132 - 
       (64393*s[54])/22 + (12645041*s[55])/132 + (1165463*s[56])/44 - 
       (989693*s[57])/33 + (1518566*s[58])/33 - (2004127*s[59])/44 - 
       (90145463*s[60])/396 + (89676247*s[61])/7128 + 3*s[62] - 12*s[65] - 
       48*s[66] + 72*s[67] + 18*s[68] + 126*s[69] + 18*s[70] + 15*s[71] + 
       24*s[72] - 72*s[73] - 6*s[74] + 6*s[75] + 36*s[76] - 42*s[77] + 
       72*s[78] - 480*s[79] + 99*s[80] + 312*s[82] + 36*s[83] - 216*s[84]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 1 - v]*(96*s[2] - 483*s[3] - 
       2254*s[4] - (1853*s[5])/11 - (18251*s[6])/11 - (598090*s[7])/33 + 
       (239278*s[8])/99 + (129323*s[9])/9 + (30076*s[10])/9 + 
       (1346479*s[11])/66 + (1585643*s[12])/66 + (491134*s[13])/33 - 
       (87850*s[14])/33 + (68270*s[15])/3 + (956347*s[16])/33 + 
       (411325*s[17])/22 + (149075*s[18])/54 + (87875*s[19])/27 + 
       (9187205*s[20])/297 + (2596907*s[21])/297 - (2707885*s[22])/297 - 
       (1015064*s[23])/33 - (11321177*s[24])/594 + (77554193*s[25])/2673 - 
       (35252042*s[26])/2673 - 30*s[30] + 48*s[31] + 17*s[32] + 24*s[33] - 
       90*s[34] + 42*s[35] - 61*s[36] - (169*s[37])/2 - 898*s[38] + 
       (12783*s[39])/4 - (14347*s[40])/4 + (10583*s[41])/4 - 
       (18075*s[42])/4 - (125769*s[43])/44 + (221843*s[44])/88 - 
       (157379*s[45])/44 + (276673*s[46])/11 - (343421*s[47])/264 + 
       (76801*s[48])/264 + (3048455*s[49])/264 - (210180*s[50])/11 - 
       (896999*s[51])/264 - (792601*s[52])/264 + (440590*s[53])/33 - 
       (23212*s[54])/11 + (7552569*s[55])/88 + (6034409*s[56])/264 - 
       (4398491*s[57])/198 + (94284829*s[58])/2376 - (93398761*s[59])/2376 - 
       (324245675*s[60])/1584 + (118115123*s[61])/10692 - 12*s[65] - 
       48*s[66] + 72*s[67] + 144*s[69] + 12*s[71] + 24*s[72] - 72*s[73] - 
       9*s[74] + 9*s[75] + 60*s[76] - 60*s[77] + 84*s[78] - 360*s[79] + 
       35*s[80] + 816*s[82] + 36*s[83] - 216*s[84]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 1}, 1 - v]*
      (111*s[2] - (805*s[3])/2 - (8703*s[4])/4 - (927*s[5])/11 - 
       (69813*s[6])/44 - (13046255*s[7])/792 + (2699749*s[8])/1188 + 
       (692683*s[9])/54 + (158285*s[10])/54 + (14625115*s[11])/792 + 
       (4316933*s[12])/198 + (10918517*s[13])/792 - (2229245*s[14])/792 + 
       (1487509*s[15])/72 + (10377061*s[16])/396 + (4414387*s[17])/264 + 
       (207358*s[18])/81 + (941861*s[19])/324 + (98201843*s[20])/3564 + 
       (54291133*s[21])/7128 - (58282385*s[22])/7128 - (11730947*s[23])/396 - 
       (61924063*s[24])/3564 + (425220691*s[25])/16038 - 
       (95189780*s[26])/8019 + 70*s[30] + 48*s[31] - 33*s[32] + 24*s[33] - 
       102*s[34] + 12*s[35] - (464*s[36])/3 - (415*s[37])/6 - 745*s[38] + 
       (5691*s[39])/2 - (19517*s[40])/6 + 2393*s[41] - (12353*s[42])/3 - 
       (173359*s[43])/66 + (305645*s[44])/132 - (420995*s[45])/132 + 
       (3013159*s[46])/132 - (463549*s[47])/396 + (135929*s[48])/396 + 
       (3993379*s[49])/396 - (562847*s[50])/33 - (1175309*s[51])/396 - 
       (1076171*s[52])/396 + (4876529*s[53])/396 - (148957*s[54])/66 + 
       (3477117*s[55])/44 + (938263*s[56])/44 - (2054035*s[57])/99 + 
       (21444749*s[58])/594 - (42959503*s[59])/1188 - 
       (217051829*s[60])/1188 + (7991083*s[61])/792 - 12*s[65] - 48*s[66] + 
       72*s[67] + 144*s[69] + 9*s[71] + 24*s[72] - 72*s[73] - 15*s[74] + 
       15*s[75] + 48*s[76] - 60*s[77] + 108*s[78] - 408*s[79] + 
       (221*s[80])/3 + 816*s[82] + 36*s[83] - 216*s[84]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 1}, 1 - u]*
      ((21*s[2])/2 + (507*s[3])/4 - (5583*s[4])/8 - (15813*s[5])/44 - 
       (104199*s[6])/88 - (1866831*s[7])/176 + (259057*s[8])/264 + 
       (54557*s[9])/6 + (7151*s[10])/3 + (2105593*s[11])/176 + 
       (150764*s[12])/11 + (1524427*s[13])/176 + (107149*s[14])/176 + 
       (200881*s[15])/16 + (184936*s[16])/11 + (1981591*s[17])/176 + 
       (32509*s[18])/18 + (94913*s[19])/72 + (15730169*s[20])/792 + 
       (10592359*s[21])/1584 - (9042431*s[22])/1584 - (141608*s[23])/11 - 
       (4474901*s[24])/396 + (112899683*s[25])/7128 - (57642203*s[26])/7128 + 
       3*s[30] + 12*s[31] + 27*s[32] + (81*s[33])/2 - 15*s[34] + 3*s[35] + 
       4*s[36] - 99*s[37] - 405*s[38] + (6543*s[39])/4 - (7639*s[40])/4 + 
       (5547*s[41])/4 - (9221*s[42])/4 - (56225*s[43])/44 + 
       (63131*s[44])/44 - (16449*s[45])/11 + (519155*s[46])/44 - 
       (72241*s[47])/132 - (14621*s[48])/66 + (746263*s[49])/132 - 
       (189193*s[50])/22 - (54476*s[51])/33 - (101467*s[52])/66 + 
       (372803*s[53])/66 - (34649*s[54])/22 + (402118*s[55])/11 + 
       (1469353*s[56])/132 - (6288679*s[57])/396 + (23978519*s[58])/1188 - 
       (11292907*s[59])/594 - (74687065*s[60])/792 + (108267019*s[61])/
        21384 + 3*s[64] - 3*s[65] - 24*s[66] + 24*s[67] + 6*s[68] + 
       48*s[69] + 24*s[70] - 3*s[71] + 30*s[72] - 42*s[73] + (15*s[74])/2 - 
       (3*s[75])/2 + 6*s[76] - 27*s[77] + 54*s[78] - 312*s[79] + 126*s[80] + 
       36*s[82] + 18*s[83] - 144*s[84]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1, 1}, 1 - w]*(-9*s[2] - (57*s[3])/2 - (5151*s[4])/4 - 
       (6003*s[5])/22 - (49755*s[6])/44 - (3896405*s[7])/264 + 
       (200059*s[8])/132 + (37268*s[9])/3 + (19589*s[10])/6 + 
       (1462359*s[11])/88 + (211972*s[12])/11 + (3095071*s[13])/264 - 
       (78957*s[14])/88 + (441803*s[15])/24 + (3173441*s[16])/132 + 
       (4213523*s[17])/264 + 2196*s[18] + (29377*s[19])/12 + 
       (1189013*s[20])/44 + (6663785*s[21])/792 - (6243533*s[22])/792 - 
       (2838193*s[23])/132 - (6273265*s[24])/396 + (80477119*s[25])/3564 - 
       (38343331*s[26])/3564 - 12*s[30] - 12*s[31] - 6*s[32] - (87*s[33])/2 + 
       18*s[34] - 18*s[35] + 14*s[36] - 69*s[37] - 564*s[38] + 2577*s[39] - 
       2981*s[40] + (4527*s[41])/2 - (7613*s[42])/2 - (20509*s[43])/11 + 
       (25462*s[44])/11 - (21228*s[45])/11 + (189460*s[46])/11 - 
       (69871*s[47])/66 + (27677*s[48])/66 + (591577*s[49])/66 - 
       (291245*s[50])/22 - (86095*s[51])/33 - (72250*s[52])/33 + 
       (295718*s[53])/33 - (31411*s[54])/22 + (613986*s[55])/11 + 
       (996901*s[56])/66 - (4558639*s[57])/198 + (17084561*s[58])/594 - 
       (8498977*s[59])/297 - (54751405*s[60])/396 + (18447226*s[61])/2673 + 
       3*s[64] - 3*s[65] - 24*s[66] + 24*s[67] + 6*s[68] + 48*s[69] + 
       36*s[70] - 3*s[71] + 18*s[74] - 9*s[75] + 54*s[76] - 24*s[77] - 
       48*s[78] - 504*s[79] + 144*s[80] + 36*s[82] + 18*s[83] - 144*s[84]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 1}, 1 - u]*(42*s[2] + 57*s[3] + 
       (411*s[4])/2 + (89711*s[5])/132 + (310427*s[6])/264 + 
       (1059605*s[7])/132 - (1034197*s[8])/2376 - (1485485*s[9])/216 - 
       (241673*s[10])/108 - (13580695*s[11])/1584 - (13828301*s[12])/1584 - 
       (1026473*s[13])/198 - (946675*s[14])/396 - (100924*s[15])/9 - 
       (10969901*s[16])/792 - (19326691*s[17])/1584 - (1221661*s[18])/648 - 
       (508313*s[19])/648 - (59922319*s[20])/3564 - (12627563*s[21])/1782 + 
       (29564725*s[22])/7128 + (12978425*s[23])/1584 + 
       (118512605*s[24])/14256 - (1296525673*s[25])/128304 + 
       (834937165*s[26])/128304 + 24*s[31] + 3*s[32] + 15*s[33] - 48*s[34] - 
       12*s[35] - 58*s[36] + (41*s[37])/3 + 162*s[38] - (11395*s[39])/12 + 
       (10963*s[40])/12 - (2029*s[41])/3 + (8303*s[42])/6 + 
       (88301*s[43])/132 - (15305*s[44])/22 + (73133*s[45])/132 - 
       (123275*s[46])/22 + (226351*s[47])/396 - (79297*s[48])/198 - 
       (571643*s[49])/198 + (121112*s[50])/33 + (105829*s[51])/132 + 
       (306257*s[52])/396 - (1170701*s[53])/396 + (11845*s[54])/11 - 
       (6518327*s[55])/396 - (226949*s[56])/44 + (1881431*s[57])/198 - 
       (2895589*s[58])/297 + (11678263*s[59])/1188 + (22686571*s[60])/594 - 
       (18734071*s[61])/7128 - 12*s[65] - 24*s[66] + 24*s[67] + 24*s[68] + 
       54*s[69] + 12*s[71] + 24*s[72] - 24*s[73] - 12*s[74] + 12*s[75] + 
       6*s[76] - 12*s[77] + 72*s[78] - 156*s[79] + 8*s[80] - 84*s[82] + 
       27*s[83] - 90*s[84]) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      (60*s[2] + 51*s[3] + (110*s[4])/3 + (97901*s[5])/132 + 
       (74713*s[6])/88 + (1991065*s[7])/264 - (684055*s[8])/2376 - 
       (1443371*s[9])/216 - (65192*s[10])/27 - (12328099*s[11])/1584 - 
       (11910377*s[12])/1584 - (1626481*s[13])/396 - (509381*s[14])/198 - 
       (825461*s[15])/72 - (2614781*s[16])/198 - (19318099*s[17])/1584 - 
       (1300045*s[18])/648 - (498491*s[19])/648 - (60047989*s[20])/3564 - 
       (26072113*s[21])/3564 + (28077253*s[22])/7128 + 
       (10490663*s[23])/1584 + (112058423*s[24])/14256 - 
       (1129662463*s[25])/128304 + (788230435*s[26])/128304 + 12*s[29] + 
       36*s[31] - 3*s[32] + 21*s[33] - 54*s[34] - 6*s[35] - 33*s[36] + 
       (23*s[37])/2 + (145*s[38])/3 - (909*s[39])/2 + (699*s[40])/2 - 
       (3127*s[41])/12 + (8321*s[42])/12 + (13663*s[43])/66 - 
       (25939*s[44])/132 + (5288*s[45])/11 - (217225*s[46])/66 + 
       (38011*s[47])/99 - (122737*s[48])/198 - (96268*s[49])/99 + 
       (23753*s[50])/11 + (11723*s[51])/33 + (164717*s[52])/396 - 
       (388741*s[53])/198 + (7028*s[54])/11 - (372131*s[55])/33 - 
       (461891*s[56])/132 + (988285*s[57])/198 - (64698*s[58])/11 + 
       (2371507*s[59])/396 + (47737405*s[60])/2376 - (43045327*s[61])/21384 - 
       12*s[63] + 3*s[64] - 6*s[65] - 12*s[66] + 12*s[67] + 6*s[68] + 
       36*s[69] + 6*s[71] + 12*s[72] - 6*s[74] + 9*s[75] - 12*s[76] - 
       6*s[77] + 36*s[78] - 252*s[79] + 71*s[80] - 84*s[82] + 27*s[83] - 
       90*s[84]) + HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*
      (42*s[2] - 167*s[3] - (925*s[4])/2 + (5999*s[5])/11 + (4863*s[6])/22 + 
       (305479*s[7])/132 + (136787*s[8])/594 - (129323*s[9])/54 - 
       (40787*s[10])/27 - (811363*s[11])/396 - (202579*s[12])/198 - 
       (22447*s[13])/396 - (1093399*s[14])/396 - (172235*s[15])/36 - 
       (1029077*s[16])/198 - (2684449*s[17])/396 - (98809*s[18])/162 - 
       (76091*s[19])/162 - (6560830*s[20])/891 - (13449187*s[21])/3564 + 
       (4829771*s[22])/3564 - (346468*s[23])/99 + (2854952*s[24])/891 - 
       (9071311*s[25])/8019 + (15376414*s[26])/8019 + 24*s[31] - 15*s[32] + 
       (15*s[33])/2 - 48*s[34] - 12*s[35] - 60*s[36] + (20*s[37])/3 - 
       234*s[38] + 338*s[39] - 492*s[40] + 392*s[41] - 372*s[42] - 
       546*s[43] + (511*s[44])/2 - (1358*s[45])/3 + (7196*s[46])/3 - 
       (43*s[47])/2 - (663*s[48])/2 + (2413*s[49])/2 - 1694*s[50] - 
       (2737*s[51])/6 - (993*s[52])/2 + (7219*s[53])/9 - (1822*s[54])/3 + 
       7584*s[55] + (41887*s[56])/18 - (209713*s[57])/54 + 
       (383197*s[58])/81 - (364891*s[59])/81 - (805967*s[60])/36 + 
       (1157051*s[61])/1458 + s[64] - 12*s[65] - 24*s[66] + 24*s[67] + 
       26*s[68] + 48*s[69] - 6*s[70] + 20*s[71] + 24*s[72] - 20*s[73] - 
       20*s[74] + 17*s[75] - 8*s[76] - 12*s[77] + 76*s[78] - 236*s[79] + 
       (16*s[80])/3 + 720*s[82] + 39*s[83] - 90*s[84]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1}, 1 - u]*
      ((21*s[2])/4 + (501*s[3])/8 - (5653*s[4])/16 - (19509*s[5])/88 - 
       (114737*s[6])/176 - (2016101*s[7])/352 + (2405939*s[8])/4752 + 
       (531985*s[9])/108 + (141179*s[10])/108 + (20342255*s[11])/3168 + 
       (2886287*s[12])/396 + (14523701*s[13])/3168 + (1488755*s[14])/3168 + 
       (1984747*s[15])/288 + (7212305*s[16])/792 + (19811657*s[17])/3168 + 
       (333473*s[18])/324 + (862699*s[19])/1296 + (154942351*s[20])/14256 + 
       (107881505*s[21])/28512 - (87652825*s[22])/28512 - 
       (5433883*s[23])/792 - (21569117*s[24])/3564 + (1077812911*s[25])/
        128304 - (566469667*s[26])/128304 + s[30]/2 + 6*s[31] + 14*s[32] + 
       21*s[33] - (15*s[34])/2 + (3*s[35])/2 + (5*s[36])/2 - (589*s[37])/12 - 
       (467*s[38])/2 + (3621*s[39])/4 - (4191*s[40])/4 + (1531*s[41])/2 - 
       (5057*s[42])/4 - (32039*s[43])/44 + (138801*s[44])/176 - 
       (226889*s[45])/264 + (1745585*s[46])/264 - (156811*s[47])/528 - 
       (64015*s[48])/528 + (1679905*s[49])/528 - (106861*s[50])/22 - 
       (474839*s[51])/528 - (443573*s[52])/528 + (1276769*s[53])/396 - 
       (25340*s[54])/33 + (3679237*s[55])/176 + (9794053*s[56])/1584 - 
       (19791029*s[57])/2376 + (159044057*s[58])/14256 - 
       (151684667*s[59])/14256 - (18714073*s[60])/352 + 
       (363277523*s[61])/128304 + s[64] - 2*s[65] - 12*s[66] + 12*s[67] + 
       4*s[68] + 24*s[69] + 12*s[70] + 15*s[72] - 21*s[73] + (13*s[74])/4 - 
       (3*s[75])/4 + 3*s[76] - (27*s[77])/2 + 27*s[78] - 160*s[79] + 
       (335*s[80])/6 + 54*s[82] + 9*s[83] - 72*s[84]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1}, 1 - w]*
      ((-9*s[2])/2 - (35*s[3])/2 - 677*s[4] - (4199*s[5])/22 - 
       (14235*s[6])/22 - (2131279*s[7])/264 + (320293*s[8])/396 + 
       (244823*s[9])/36 + (64777*s[10])/36 + (2388025*s[11])/264 + 
       (1374067*s[12])/132 + (554855*s[13])/88 - (82739*s[14])/264 + 
       (81551*s[15])/8 + (580861*s[16])/44 + (2366315*s[17])/264 + 
       (138535*s[18])/108 + (136661*s[19])/108 + (8873983*s[20])/594 + 
       (11454871*s[21])/2376 - (10208525*s[22])/2376 - (518289*s[23])/44 - 
       (10201999*s[24])/1188 + (65060755*s[25])/5346 - 
       (63676823*s[26])/10692 - 6*s[30] - 6*s[31] - (5*s[32])/2 - 21*s[33] + 
       9*s[34] - 9*s[35] + 8*s[36] - (229*s[37])/6 - 313*s[38] + 
       (5657*s[39])/4 - (6489*s[40])/4 + (4933*s[41])/4 - (8335*s[42])/4 - 
       (45475*s[43])/44 + (110089*s[44])/88 - (71077*s[45])/66 + 
       (1249085*s[46])/132 - (156455*s[47])/264 + (64843*s[48])/264 + 
       (1292033*s[49])/264 - (79877*s[50])/11 - (124607*s[51])/88 - 
       (314383*s[52])/264 + (1961149*s[53])/396 - (46697*s[54])/66 + 
       (8160109*s[55])/264 + (6608545*s[56])/792 - (7466227*s[57])/594 + 
       (112656539*s[58])/7128 - (112654649*s[59])/7128 - 
       (119875735*s[60])/1584 + (245957585*s[61])/64152 + s[64] - 2*s[65] - 
       12*s[66] + 12*s[67] + 4*s[68] + 24*s[69] + 18*s[70] - s[71] - 
       2*s[73] + (17*s[74])/2 - 5*s[75] + 27*s[76] - 12*s[77] - 24*s[78] - 
       252*s[79] + (206*s[80])/3 + 54*s[82] + 9*s[83] - 72*s[84]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1}, 1 - w]*(6*s[2] - (603*s[3])/8 - 
       (7189*s[4])/16 - (21651*s[5])/176 - (42971*s[6])/88 - 
       (5083201*s[7])/1056 + (53389*s[8])/99 + (569159*s[9])/144 + 
       (140185*s[10])/144 + (5632087*s[11])/1056 + (3231799*s[12])/528 + 
       (1302057*s[13])/352 - (149651*s[14])/1056 + (581689*s[15])/96 + 
       (1366109*s[16])/176 + (5564435*s[17])/1056 + (408145*s[18])/432 + 
       (243287*s[19])/432 + (41872559*s[20])/4752 + (27190081*s[21])/9504 - 
       (23580575*s[22])/9504 - (1407141*s[23])/176 - (22968883*s[24])/4752 + 
       (620011357*s[25])/85536 - (308456125*s[26])/85536 - 3*s[30] + 
       3*s[31] - (9*s[32])/4 - (15*s[33])/2 - 9*s[34] - (15*s[35])/2 - 
       (73*s[36])/4 - (301*s[37])/8 - (403*s[38])/2 + (13587*s[39])/16 - 
       (15479*s[40])/16 + (11723*s[41])/16 - (19735*s[42])/16 - 
       (124853*s[43])/176 + (246359*s[44])/352 - (150371*s[45])/176 + 
       (71012*s[46])/11 - (119803*s[47])/352 + (20711*s[48])/352 + 
       (1028825*s[49])/352 - (105807*s[50])/22 - (310065*s[51])/352 - 
       (257095*s[52])/352 + (225961*s[53])/66 - (32957*s[54])/44 + 
       (23003863*s[55])/1056 + (6450101*s[56])/1056 - (692212*s[57])/99 + 
       (99647257*s[58])/9504 - (99057901*s[59])/9504 - (36212983*s[60])/704 + 
       (121027343*s[61])/42768 - 3*s[65] - 12*s[66] + 18*s[67] + 
       (9*s[68])/2 + (63*s[69])/2 + 9*s[70] + 3*s[71] + 6*s[72] - 18*s[73] - 
       (9*s[74])/4 + (9*s[75])/4 + 15*s[76] - 15*s[77] + 21*s[78] - 
       126*s[79] + (95*s[80])/4 + 78*s[82] + 9*s[83] - 54*s[84]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1}, 1 - u]*
      ((93*s[2])/4 - (543*s[3])/8 - (7635*s[4])/16 - (24757*s[5])/176 - 
       (45801*s[6])/88 - (1861919*s[7])/352 + (494903*s[8])/792 + 
       (627527*s[9])/144 + (155671*s[10])/144 + (6197911*s[11])/1056 + 
       (3575203*s[12])/528 + (4311667*s[13])/1056 - (160499*s[14])/1056 + 
       (210243*s[15])/32 + (4483139*s[16])/528 + (6051775*s[17])/1056 + 
       (449773*s[18])/432 + (274901*s[19])/432 + (45945731*s[20])/4752 + 
       (29774737*s[21])/9504 - (25921883*s[22])/9504 - (4531861*s[23])/528 - 
       (25338661*s[24])/4752 + (680828587*s[25])/85536 - 
       (338441515*s[26])/85536 - (9*s[30])/2 + 12*s[31] - (3*s[32])/2 + 
       (75*s[33])/8 - (33*s[34])/2 + (15*s[35])/2 - (39*s[36])/2 - 
       (209*s[37])/8 - (911*s[38])/4 + (7441*s[39])/8 - (8353*s[40])/8 + 
       (1595*s[41])/2 - 1341*s[42] - (67751*s[43])/88 + (135687*s[44])/176 - 
       (167557*s[45])/176 + (1253757*s[46])/176 - (200347*s[47])/528 + 
       (29003*s[48])/528 + (1700821*s[49])/528 - (234665*s[50])/44 - 
       (518435*s[51])/528 - (435485*s[52])/528 + (1981511*s[53])/528 - 
       (64393*s[54])/88 + (12645041*s[55])/528 + (1165463*s[56])/176 - 
       (989693*s[57])/132 + (759283*s[58])/66 - (2004127*s[59])/176 - 
       (90145463*s[60])/1584 + (89714263*s[61])/28512 + (3*s[62])/4 - 
       3*s[65] - 12*s[66] + 18*s[67] + (9*s[68])/2 + (63*s[69])/2 + 
       (9*s[70])/2 + (15*s[71])/4 + 6*s[72] - 18*s[73] - (3*s[74])/2 + 
       (3*s[75])/2 + 9*s[76] - (21*s[77])/2 + 18*s[78] - 120*s[79] + 
       (99*s[80])/4 + 78*s[82] + 9*s[83] - 54*s[84]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      (33*s[2] - (307*s[3])/4 - 470*s[4] - (15969*s[5])/176 - 
       (50821*s[6])/176 - (1275037*s[7])/264 + (324985*s[8])/528 + 
       (190301*s[9])/48 + (45499*s[10])/48 + (953911*s[11])/176 + 
       (1142299*s[12])/176 + (494569*s[13])/132 - (21771*s[14])/44 + 
       (285727*s[15])/48 + (1014865*s[16])/132 + (156362*s[17])/33 + 
       (131111*s[18])/144 + (48143*s[19])/72 + (7079495*s[20])/792 + 
       (472093*s[21])/176 - (497201*s[22])/198 - (264269*s[23])/33 - 
       (3944033*s[24])/792 + (71297995*s[25])/9504 - (34056247*s[26])/9504 - 
       (23*s[30])/2 + 15*s[31] - (3*s[32])/4 + 15*s[33] - 12*s[34] + 
       (33*s[35])/2 - (9*s[36])/2 - (21*s[37])/8 - (907*s[38])/4 + 
       (6083*s[39])/8 - (6967*s[40])/8 + (2523*s[41])/4 - 1030*s[42] - 
       (54485*s[43])/88 + (110739*s[44])/176 - (134513*s[45])/176 + 
       (950685*s[46])/176 - (48405*s[47])/176 + (9873*s[48])/176 + 
       (458099*s[49])/176 - (179203*s[50])/44 - (139885*s[51])/176 - 
       (119319*s[52])/176 + (1484663*s[53])/528 - (42987*s[54])/88 + 
       (9570959*s[55])/528 + (2539081*s[56])/528 - (4699019*s[57])/792 + 
       (21060481*s[58])/2376 - (41881607*s[59])/4752 - (23418223*s[60])/528 + 
       (195035305*s[61])/85536 - 3*s[65] - 12*s[66] + 18*s[67] + 
       (15*s[68])/2 + (57*s[69])/2 + 3*s[70] + (9*s[71])/4 + 6*s[72] - 
       18*s[73] + (9*s[74])/4 - (9*s[75])/4 - 9*s[76] - 6*s[77] + 15*s[78] - 
       114*s[79] + (143*s[80])/4 + 177*s[82] + 9*s[83] - 54*s[84]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 1 - v]*(24*s[2] - (519*s[3])/4 - 
       568*s[4] - (2477*s[5])/44 - (19737*s[6])/44 - (154343*s[7])/33 + 
       (120845*s[8])/198 + (133715*s[9])/36 + (7816*s[10])/9 + 
       (1389391*s[11])/264 + (1630811*s[12])/264 + (84091*s[13])/22 - 
       (39713*s[14])/66 + (17627*s[15])/3 + (329701*s[16])/44 + 
       (1287647*s[17])/264 + (161543*s[18])/216 + (87041*s[19])/108 + 
       (9586403*s[20])/1188 + (2782133*s[21])/1188 - (2799451*s[22])/1188 - 
       (86898*s[23])/11 - (11625629*s[24])/2376 + (79518629*s[25])/10692 - 
       (18336349*s[26])/5346 - (15*s[30])/2 + 12*s[31] + (5*s[32])/4 + 
       6*s[33] - (45*s[34])/2 + (21*s[35])/2 - (61*s[36])/4 - (169*s[37])/8 - 
       (461*s[38])/2 + (13119*s[39])/16 - (14747*s[40])/16 + 
       (10871*s[41])/16 - (18571*s[42])/16 - (11691*s[43])/16 + 
       (20745*s[44])/32 - (14713*s[45])/16 + (25771*s[46])/4 - 
       (10765*s[47])/32 + (2385*s[48])/32 + (94231*s[49])/32 - 4866*s[50] - 
       (27799*s[51])/32 - (24649*s[52])/32 + (20441*s[53])/6 - 564*s[54] + 
       (2104177*s[55])/96 + (564235*s[56])/96 - (419317*s[57])/72 + 
       (8824295*s[58])/864 - (8727851*s[59])/864 - (10040891*s[60])/192 + 
       (11025457*s[61])/3888 - 3*s[65] - 12*s[66] + 18*s[67] + 36*s[69] + 
       3*s[71] + 6*s[72] - 18*s[73] - (9*s[74])/4 + (9*s[75])/4 + 15*s[76] - 
       15*s[77] + 21*s[78] - 90*s[79] + (35*s[80])/4 + 192*s[82] + 9*s[83] - 
       54*s[84]) + HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1}, 1 - v]*
      ((111*s[2])/4 - (849*s[3])/8 - (8883*s[4])/16 - (137*s[5])/4 - 
       (6899*s[6])/16 - (1240385*s[7])/288 + (251707*s[8])/432 + 
       (727031*s[9])/216 + (166417*s[10])/216 + (1387909*s[11])/288 + 
       (408743*s[12])/72 + (1029755*s[13])/288 - (189491*s[14])/288 + 
       (1561289*s[15])/288 + (989731*s[16])/144 + (426061*s[17])/96 + 
       (55553*s[18])/81 + (958129*s[19])/1296 + (9440213*s[20])/1296 + 
       (5349091*s[21])/2592 - (5544767*s[22])/2592 - (1101773*s[23])/144 - 
       (5869177*s[24])/1296 + (40163461*s[25])/5832 - (2281034*s[26])/729 + 
       (23*s[30])/2 + 12*s[31] - (33*s[32])/4 + 6*s[33] - (51*s[34])/2 + 
       3*s[35] - (103*s[36])/3 - (467*s[37])/24 - (769*s[38])/4 + 
       (5913*s[39])/8 - (20287*s[40])/24 + 623*s[41] - (6431*s[42])/6 - 
       (178949*s[43])/264 + (318319*s[44])/528 - (438127*s[45])/528 + 
       (3122927*s[46])/528 - (488699*s[47])/1584 + (147343*s[48])/1584 + 
       (4135181*s[49])/1584 - (581263*s[50])/132 - (1217191*s[51])/1584 - 
       (1112257*s[52])/1584 + (5048617*s[53])/1584 - (159461*s[54])/264 + 
       (10795877*s[55])/528 + (2928311*s[56])/528 - (2148955*s[57])/396 + 
       (1237169*s[58])/132 - (14888099*s[59])/1584 - (112262417*s[60])/2376 + 
       (224898185*s[61])/85536 - 3*s[65] - 12*s[66] + 18*s[67] + 36*s[69] + 
       (9*s[71])/4 + 6*s[72] - 18*s[73] - (15*s[74])/4 + (15*s[75])/4 + 
       6*s[76] - 15*s[77] + 27*s[78] - 102*s[79] + (313*s[80])/12 + 
       192*s[82] + 9*s[83] - 54*s[84]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1, 0, 1}, 1 - u]*(14*s[2] + 19*s[3] + (137*s[4])/2 + 
       (9533*s[5])/44 + (34275*s[6])/88 + (686423*s[7])/264 - 
       (335381*s[8])/2376 - (480625*s[9])/216 - (38219*s[10])/54 - 
       (4409303*s[11])/1584 - (4517419*s[12])/1584 - (1355455*s[13])/792 - 
       (614521*s[14])/792 - (257489*s[15])/72 - (3523669*s[16])/792 - 
       (6158759*s[17])/1584 - (401987*s[18])/648 - (149953*s[19])/648 - 
       (19285595*s[20])/3564 - (16304539*s[21])/7128 + (2392427*s[22])/1782 + 
       (4267399*s[23])/1584 + (37960699*s[24])/14256 - 
       (420910715*s[25])/128304 + (270960995*s[26])/128304 + 8*s[31] + 
       s[32] + 5*s[33] - 16*s[34] - (9*s[35])/2 - (35*s[36])/2 + 
       (10*s[37])/3 + 54*s[38] - (627*s[39])/2 + (603*s[40])/2 - 
       (909*s[41])/4 + 452*s[42] + (2429*s[43])/11 - (19847*s[44])/88 + 
       (5542*s[45])/33 - (118187*s[46])/66 + (49055*s[47])/264 - 
       (35557*s[48])/264 - (243437*s[49])/264 + (12514*s[50])/11 + 
       (65243*s[51])/264 + (70915*s[52])/264 - (362525*s[53])/396 + 
       (13610*s[54])/33 - (444753*s[55])/88 - (1321523*s[56])/792 + 
       (3985459*s[57])/1188 - (22875211*s[58])/7128 + (22731733*s[59])/7128 + 
       (2091973*s[60])/176 - (54204055*s[61])/64152 - 4*s[65] - 8*s[66] + 
       8*s[67] + 8*s[68] + 18*s[69] + 4*s[71] + 8*s[72] - 8*s[73] - 4*s[74] + 
       4*s[75] + 2*s[76] - 4*s[77] + 24*s[78] - 52*s[79] + (8*s[80])/3 - 
       54*s[82] + 9*s[83] - 30*s[84]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 0, 1}, 1 - w]*(20*s[2] + 17*s[3] + 50*s[4] + 
       (10443*s[5])/44 + (26115*s[6])/88 + (719795*s[7])/264 - 
       (337753*s[8])/2376 - (514985*s[9])/216 - (44263*s[10])/54 - 
       (4495879*s[11])/1584 - (4465907*s[12])/1584 - (1232207*s[13])/792 - 
       (568793*s[14])/792 - (293533*s[15])/72 - (3728873*s[16])/792 - 
       (6629335*s[17])/1584 - (454027*s[18])/648 - (187937*s[19])/648 - 
       (20972293*s[20])/3564 - (17776475*s[21])/7128 + (2530579*s[22])/1782 + 
       (4415495*s[23])/1584 + (39986819*s[24])/14256 - 
       (426120943*s[25])/128304 + (282216487*s[26])/128304 + 4*s[29] + 
       12*s[31] - s[32] + 7*s[33] - 18*s[34] - 2*s[35] - 11*s[36] + 
       (23*s[37])/6 + (45*s[38])/2 - (775*s[39])/4 + (635*s[40])/4 - 
       (259*s[41])/2 + (1195*s[42])/4 + (3931*s[43])/44 - (3863*s[44])/44 + 
       (24919*s[45])/132 - (90281*s[46])/66 + (3297*s[47])/22 - 
       (11149*s[48])/44 - (9055*s[49])/22 + (20233*s[50])/22 + 
       (6763*s[51])/44 + (2030*s[52])/11 - (318341*s[53])/396 + 
       (8507*s[54])/33 - (612361*s[55])/132 - (565165*s[56])/396 + 
       (2685829*s[57])/1188 - (8911673*s[58])/3564 + (4495081*s[59])/1782 + 
       (838621*s[60])/99 - (51818413*s[61])/64152 - 4*s[63] + s[64] - 
       2*s[65] - 4*s[66] + 4*s[67] + 2*s[68] + 12*s[69] + 2*s[71] + 4*s[72] - 
       2*s[74] + 3*s[75] - 4*s[76] - 2*s[77] + 12*s[78] - 84*s[79] + 
       (71*s[80])/3 - 54*s[82] + 9*s[83] - 30*s[84]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 1 - u]*
      ((7*s[2])/4 + (163*s[3])/8 - (1995*s[4])/16 - (9275*s[5])/88 - 
       (47295*s[6])/176 - (2388913*s[7])/1056 + (880109*s[8])/4752 + 
       (211123*s[9])/108 + (57149*s[10])/108 + (7955801*s[11])/3168 + 
       (1110779*s[12])/396 + (5528147*s[13])/3168 + (902885*s[14])/3168 + 
       (806341*s[15])/288 + (2869409*s[16])/792 + (8217791*s[17])/3168 + 
       (143855*s[18])/324 + (298045*s[19])/1296 + (62736961*s[20])/14256 + 
       (46072919*s[21])/28512 - (34453183*s[22])/28512 - 
       (2108815*s[23])/792 - (2102483*s[24])/891 + (412583101*s[25])/128304 - 
       (228429529*s[26])/128304 - s[30]/2 + 2*s[31] + 5*s[32] + 
       (15*s[33])/2 - (5*s[34])/2 + s[35]/2 + (7*s[36])/6 - (193*s[37])/12 - 
       (201*s[38])/2 + 368*s[39] - (2515*s[40])/6 + (1245*s[41])/4 - 
       (3047*s[42])/6 - (10303*s[43])/33 + (168631*s[44])/528 - 
       (97409*s[45])/264 + (728395*s[46])/264 - (184109*s[47])/1584 - 
       (80885*s[48])/1584 + (2115119*s[49])/1584 - (134855*s[50])/66 - 
       (566101*s[51])/1584 - (529015*s[52])/1584 + (547531*s[53])/396 - 
       (16757*s[54])/66 + (4743743*s[55])/528 + (1347787*s[56])/528 - 
       (815027*s[57])/264 + (21613039*s[58])/4752 - (21039025*s[59])/4752 - 
       (212555135*s[60])/9504 + (50389991*s[61])/42768 - s[65] - 4*s[66] + 
       4*s[67] + 2*s[68] + 8*s[69] + 4*s[70] + s[71] + 5*s[72] - 7*s[73] + 
       (3*s[74])/4 - s[75]/4 + s[76] - (9*s[77])/2 + 9*s[78] - 56*s[79] + 
       (83*s[80])/6 + 42*s[82] + 3*s[83] - 24*s[84]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 1 - w]*((-3*s[2])/2 - 8*s[3] - 
       (991*s[4])/4 - (1143*s[5])/11 - (12215*s[6])/44 - (316535*s[7])/99 + 
       (60623*s[8])/198 + (97139*s[9])/36 + (26029*s[10])/36 + 
       (469081*s[11])/132 + (532999*s[12])/132 + (479375*s[13])/198 + 
       (1519*s[14])/132 + (74161*s[15])/18 + (521530*s[16])/99 + 
       (1469177*s[17])/396 + (60773*s[18])/108 + (24263*s[19])/54 + 
       (7182985*s[20])/1188 + (272417*s[21])/132 - (502642*s[22])/297 - 
       (460727*s[23])/99 - (1992923*s[24])/594 + (16730833*s[25])/3564 - 
       (4290401*s[26])/1782 - 2*s[30] - 2*s[31] - s[32]/2 - (13*s[33])/2 + 
       3*s[34] - 3*s[35] + (10*s[36])/3 - (91*s[37])/6 - 127*s[38] + 
       (2237*s[39])/4 - (7591*s[40])/12 + (1931*s[41])/4 - (9851*s[42])/12 - 
       (55181*s[43])/132 + (127891*s[44])/264 - (28885*s[45])/66 + 
       (497053*s[46])/132 - (189749*s[47])/792 + (79597*s[48])/792 + 
       (1528271*s[49])/792 - (95015*s[50])/33 - (436267*s[51])/792 - 
       (368053*s[52])/792 + (787253*s[53])/396 - (8006*s[54])/33 + 
       (3289009*s[55])/264 + (886979*s[56])/264 - (971869*s[57])/198 + 
       (1658417*s[58])/264 - (5016173*s[59])/792 - (142507997*s[60])/4752 + 
       (33246151*s[61])/21384 - s[65] - 4*s[66] + 4*s[67] + 2*s[68] + 
       8*s[69] + 6*s[70] - 2*s[73] + (5*s[74])/2 - 2*s[75] + 9*s[76] - 
       4*s[77] - 8*s[78] - 84*s[79] + (62*s[80])/3 + 42*s[82] + 3*s[83] - 
       24*s[84]) + HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]^2*
      (9*s[2] - (227*s[3])/8 - (2199*s[4])/16 + (2837*s[5])/88 - 
       (6515*s[6])/176 - (1966837*s[7])/3168 + (635057*s[8])/4752 + 
       (48079*s[9])/108 + (1421*s[10])/108 + (2234945*s[11])/3168 + 
       (741949*s[12])/792 + (1778743*s[13])/3168 - (1053847*s[14])/3168 + 
       (212747*s[15])/288 + (1415165*s[16])/1584 + (121399*s[17])/352 + 
       (27641*s[18])/324 + (109717*s[19])/1296 + (12388195*s[20])/14256 + 
       (3340151*s[21])/28512 - (8513563*s[22])/28512 - (2762281*s[23])/1584 - 
       (7732247*s[24])/14256 + (145510957*s[25])/128304 - 
       (53990551*s[26])/128304 + (3*s[30])/2 + 4*s[31] - (5*s[32])/2 + 
       2*s[33] - 8*s[34] + 3*s[35] - (27*s[36])/4 + (5*s[37])/6 - 
       (187*s[38])/4 + (2229*s[39])/16 - (2641*s[40])/16 + (1899*s[41])/16 - 
       (3075*s[42])/16 - (21203*s[43])/176 + (32445*s[44])/352 - 
       (17029*s[45])/88 + (215747*s[46])/176 - (60127*s[47])/1056 + 
       (62435*s[48])/1056 + (446581*s[49])/1056 - (20291*s[50])/22 - 
       (147833*s[51])/1056 - (166151*s[52])/1056 + (121343*s[53])/176 - 
       (18187*s[54])/88 + (4865053*s[55])/1056 + (1357847*s[56])/1056 - 
       (681965*s[57])/792 + (18431161*s[58])/9504 - (18548755*s[59])/9504 - 
       (62503183*s[60])/6336 + (48430381*s[61])/85536 - s[65] - 4*s[66] + 
       6*s[67] + 12*s[69] + (7*s[71])/4 + 2*s[72] - 6*s[73] - s[74] + s[75] + 
       12*s[76] - 5*s[77] + 8*s[78] - 32*s[79] - 10*s[80] + 114*s[82] + 
       3*s[83] - 18*s[84]) + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]^2*
      ((15*s[2])/2 - (69*s[3])/4 - (1153*s[4])/8 + (3035*s[5])/88 - 
       (3331*s[6])/44 - (164179*s[7])/264 + (110219*s[8])/792 + 
       (32137*s[9])/72 - (43*s[10])/72 + (95633*s[11])/132 + 
       (251951*s[12])/264 + (55315*s[13])/88 - (84395*s[14])/264 + 
       (2771*s[15])/4 + (78165*s[16])/88 + (91019*s[17])/264 + 
       (9247*s[18])/108 + (13885*s[19])/216 + (1939411*s[20])/2376 + 
       (243145*s[21])/2376 - (87394*s[22])/297 - (148991*s[23])/88 - 
       (676693*s[24])/1188 + (50411375*s[25])/42768 - 
       (18759671*s[26])/42768 - 2*s[30] + 4*s[31] - (3*s[32])/4 + 2*s[33] - 
       8*s[34] + 2*s[35] - (37*s[36])/6 - (23*s[37])/4 - (77*s[38])/2 + 
       (1103*s[39])/8 - (4013*s[40])/24 + (949*s[41])/8 - (4537*s[42])/24 - 
       (35623*s[43])/264 + (53003*s[44])/528 - (44119*s[45])/264 + 
       (148927*s[46])/132 - (102673*s[47])/1584 + (69521*s[48])/1584 + 
       (633883*s[49])/1584 - (103889*s[50])/132 - (238091*s[51])/1584 - 
       (243269*s[52])/1584 + (58544*s[53])/99 - (34349*s[54])/132 + 
       (690803*s[55])/176 + (619547*s[56])/528 - (279695*s[57])/264 + 
       (8729783*s[58])/4752 - (8568551*s[59])/4752 - (82960267*s[60])/9504 + 
       (1357612*s[61])/2673 - s[65] - 4*s[66] + 6*s[67] + 12*s[69] + s[71] + 
       2*s[72] - 6*s[73] - s[74] + s[75] + 4*s[76] - 5*s[77] + 8*s[78] - 
       32*s[79] + (31*s[80])/6 + 114*s[82] + 3*s[83] - 18*s[84]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-61*s[2])/6 + (443*s[3])/12 - (6613*s[4])/24 - (3931*s[5])/22 - 
       (124691*s[6])/264 - (745795*s[7])/176 + (2561833*s[8])/7128 + 
       (1173301*s[9])/324 + (326657*s[10])/324 + (22445155*s[11])/4752 + 
       (6225239*s[12])/1188 + (15423373*s[13])/4752 + (1535539*s[14])/4752 + 
       (2347307*s[15])/432 + (2085040*s[16])/297 + (24561481*s[17])/4752 + 
       (708275*s[18])/972 + (1148543*s[19])/1944 + (173413175*s[20])/21384 + 
       (124928773*s[21])/42768 - (96904913*s[22])/42768 - 
       (3194485*s[23])/594 - (48246941*s[24])/10692 + 
       (587027593*s[25])/96228 - (313459849*s[26])/96228 + (8*s[30])/3 - 
       (20*s[31])/3 - (2*s[32])/3 - (49*s[33])/6 + (37*s[34])/3 + 
       (8*s[35])/3 + (313*s[36])/18 - (323*s[37])/18 - (515*s[38])/3 + 
       (6197*s[39])/8 - (63337*s[40])/72 + (5681*s[41])/8 - 
       (83165*s[42])/72 - (549227*s[43])/792 + (1214287*s[44])/1584 - 
       (257449*s[45])/396 + (4556011*s[46])/792 - (1074155*s[47])/4752 - 
       (590177*s[48])/4752 + (15293513*s[49])/4752 - (895679*s[50])/198 - 
       (3691873*s[51])/4752 - (2722513*s[52])/4752 + (7366301*s[53])/2376 + 
       (776*s[54])/99 + (30679483*s[55])/1584 + (7727057*s[56])/1584 - 
       (1555225*s[57])/297 + (1553931*s[58])/176 - (43418819*s[59])/4752 - 
       (1356835763*s[60])/28512 + (302086831*s[61])/128304 + s[62]/3 + 
       (2*s[65])/3 + (8*s[66])/3 - (16*s[67])/3 + (5*s[68])/3 - 
       (37*s[69])/3 + (2*s[70])/3 - (2*s[71])/3 - (14*s[72])/3 + 
       (22*s[73])/3 + (23*s[74])/6 - (23*s[75])/6 - 2*s[76] + (28*s[77])/3 - 
       (19*s[78])/3 - (266*s[79])/3 + (256*s[80])/9 - 28*s[82] - 2*s[83] - 
       12*s[84]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*((-67*s[2])/6 + (185*s[3])/4 - (3343*s[4])/8 - 
       (7802*s[5])/33 - (164783*s[6])/264 - (29617757*s[7])/4752 + 
       (3706037*s[8])/7128 + (1721441*s[9])/324 + (483577*s[10])/324 + 
       (33551087*s[11])/4752 + (9495331*s[12])/1188 + (7835131*s[13])/1584 + 
       (1553879*s[14])/4752 + (375671*s[15])/48 + (680179*s[16])/66 + 
       (34485709*s[17])/4752 + (963217*s[18])/972 + (1927831*s[19])/1944 + 
       (255554503*s[20])/21384 + (180167945*s[21])/42768 - 
       (143717269*s[22])/42768 - (757853*s[23])/99 - (74057371*s[24])/10692 + 
       (882182135*s[25])/96228 - (460954829*s[26])/96228 + (22*s[30])/3 - 
       (20*s[31])/3 + (11*s[32])/3 - (41*s[33])/6 + (35*s[34])/3 + 
       (38*s[35])/3 + (527*s[36])/18 - (173*s[37])/9 - (913*s[38])/3 + 
       (26957*s[39])/24 - (92027*s[40])/72 + (23953*s[41])/24 - 
       (114343*s[42])/72 - (807409*s[43])/792 + (1769513*s[44])/1584 - 
       (182785*s[45])/198 + (6347699*s[46])/792 - (1277041*s[47])/4752 - 
       (1299283*s[48])/4752 + (22589467*s[49])/4752 - (1245859*s[50])/198 - 
       (4937939*s[51])/4752 - (3972479*s[52])/4752 + (9885709*s[53])/2376 + 
       (13171*s[54])/99 + (41835929*s[55])/1584 + (10458523*s[56])/1584 - 
       (4743205*s[57])/594 + (59983519*s[58])/4752 - (61681025*s[59])/4752 - 
       (1938501277*s[60])/28512 + (400257467*s[61])/128304 + (2*s[65])/3 + 
       (8*s[66])/3 - (16*s[67])/3 + (35*s[68])/3 - (37*s[69])/3 + 
       (2*s[70])/3 - (2*s[71])/3 - (10*s[72])/3 + 6*s[73] + (7*s[74])/2 - 
       (7*s[75])/2 - (10*s[76])/3 + (56*s[77])/3 - (7*s[78])/3 - 
       (410*s[79])/3 + (359*s[80])/9 - 4*s[82] - 2*s[83] - 12*s[84]) + 
     D33[v, w, u]*((7*s[2])/4 - (143*s[3])/8 + (685*s[4])/16 + 
       (2415*s[5])/44 + (17295*s[6])/176 + (1033565*s[7])/1056 - 
       (334669*s[8])/4752 - (46357*s[9])/54 - (56411*s[10])/216 - 
       (3389197*s[11])/3168 - (915353*s[12])/792 - (2185171*s[13])/3168 - 
       (531385*s[14])/3168 - (373913*s[15])/288 - (1301005*s[16])/792 - 
       (4062811*s[17])/3168 - (58207*s[18])/324 - (162905*s[19])/1296 - 
       (28377641*s[20])/14256 - (21461815*s[21])/28512 + 
       (15122891*s[22])/28512 + (826757*s[23])/792 + (936946*s[24])/891 - 
       (169942265*s[25])/128304 + (96959609*s[26])/128304 + s[31] - 
       (3*s[32])/2 - s[33]/8 - 2*s[34] - s[35]/2 - (9*s[36])/2 + 
       (59*s[37])/12 + (73*s[38])/2 - (315*s[39])/2 + 175*s[40] - 
       (555*s[41])/4 + (467*s[42])/2 + (2691*s[43])/22 - (25163*s[44])/176 + 
       (29629*s[45])/264 - (277003*s[46])/264 + (10971*s[47])/176 - 
       (1965*s[48])/176 - (103137*s[49])/176 + (18131*s[50])/22 + 
       (84737*s[51])/528 + (21753*s[52])/176 - (54928*s[53])/99 - 
       (577*s[54])/66 - (1815853*s[55])/528 - (1382039*s[56])/1584 + 
       (3090625*s[57])/2376 - (24383395*s[58])/14256 + 
       (24812209*s[59])/14256 + (27004159*s[60])/3168 - 
       (52981585*s[61])/128304 + s[67] + s[69] - s[70] + s[72] - s[73] - 
       (5*s[74])/4 + (5*s[75])/4 - s[77]/2 + 3*s[78] + 20*s[79] - 
       (31*s[80])/6 + 6*s[84]) + D33[w, u, v]*((-3*s[2])/4 + (97*s[3])/8 + 
       (1991*s[4])/16 + (2953*s[5])/88 + (24127*s[6])/176 + 
       (1438957*s[7])/1056 - (682201*s[8])/4752 - (120671*s[9])/108 - 
       (33229*s[10])/108 - (4879513*s[11])/3168 - (699823*s[12])/396 - 
       (3426451*s[13])/3168 + (129155*s[14])/3168 - (499289*s[15])/288 - 
       (894965*s[16])/396 - (4946263*s[17])/3168 - (35897*s[18])/162 - 
       (300869*s[19])/1296 - (35868929*s[20])/14256 - 
       (23682895*s[21])/28512 + (20310503*s[22])/28512 + (195310*s[23])/99 + 
       (10473995*s[24])/7128 - (265528847*s[25])/128304 + 
       (132104099*s[26])/128304 + s[30]/2 - s[33]/2 - s[34]/2 - s[35]/2 - 
       (11*s[36])/2 + (95*s[37])/12 + (121*s[38])/2 - 235*s[39] + 
       (517*s[40])/2 - (797*s[41])/4 + 338*s[42] + (2102*s[43])/11 - 
       (36935*s[44])/176 + (47869*s[45])/264 - (416839*s[46])/264 + 
       (48229*s[47])/528 - (875*s[48])/528 - (468175*s[49])/528 + 
       (26525*s[50])/22 + (122285*s[51])/528 + (99167*s[52])/528 - 
       (80479*s[53])/99 + (635*s[54])/66 - (2684657*s[55])/528 - 
       (2093603*s[56])/1584 + (4687777*s[57])/2376 - (37024519*s[58])/14256 + 
       (37353325*s[59])/14256 + (40609379*s[60])/3168 - 
       (81401437*s[61])/128304 + 2*s[63] + s[67] + s[68] - s[69] + s[72] - 
       s[73] - (5*s[74])/4 + (5*s[75])/4 + s[77]/2 + 3*s[78] + 20*s[79] - 
       (31*s[80])/6 + 6*s[84]) + B8[w, u, v]*HPL[{1}, 1 - u]*
      ((-3*s[2])/4 + (49*s[3])/8 + (1567*s[4])/16 + (1931*s[5])/88 + 
       (17123*s[6])/176 + (1094629*s[7])/1056 - (180751*s[8])/1584 - 
       (7649*s[9])/9 - (4205*s[10])/18 - (1234603*s[11])/1056 - 
       (88775*s[12])/66 - (288027*s[13])/352 + (50177*s[14])/1056 - 
       (42321*s[15])/32 - (18933*s[16])/11 - (1247597*s[17])/1056 - 
       (17899*s[18])/108 - (76655*s[19])/432 - (9065123*s[20])/4752 - 
       (5869789*s[21])/9504 + (5169269*s[22])/9504 + (67671*s[23])/44 + 
       (2630051*s[24])/2376 - (67509515*s[25])/42768 + 
       (33130271*s[26])/42768 + s[30]/2 - s[33]/2 - s[34]/2 - s[35]/2 - 
       (9*s[36])/2 + (23*s[37])/4 + (89*s[38])/2 - 180*s[39] + 
       (397*s[40])/2 - (621*s[41])/4 + (525*s[42])/2 + (1561*s[43])/11 - 
       (28383*s[44])/176 + (11947*s[45])/88 - (106097*s[46])/88 + 
       (38077*s[47])/528 - (4163*s[48])/528 - (354559*s[49])/528 + 
       (20511*s[50])/22 + (95581*s[51])/528 + (75359*s[52])/528 - 
       (20723*s[53])/33 - (109*s[54])/22 - (688931*s[55])/176 - 
       (176971*s[56])/176 + (397807*s[57])/264 - (348303*s[58])/176 + 
       (1056535*s[59])/528 + (30969139*s[60])/3168 - (6864317*s[61])/14256 - 
       s[66] + s[67] + s[69] + s[72] - s[73] - (5*s[74])/4 + (5*s[75])/4 - 
       s[77]/2 + s[78] + 18*s[79] - (9*s[80])/2 + 6*s[84]) + 
     B8[u, v, w]*HPL[{1}, 1 - w]*(-2*s[3] + 15*s[4] + (37*s[5])/22 + 
       (347*s[6])/22 + (5497*s[7])/33 - (4768*s[8])/297 - (3797*s[9])/27 - 
       (1036*s[10])/27 - (37915*s[11])/198 - (43985*s[12])/198 - 
       (13964*s[13])/99 + (1169*s[14])/198 - (3647*s[15])/18 - 
       (26855*s[16])/99 - (34963*s[17])/198 - (6565*s[18])/324 - 
       (4999*s[19])/162 - (271079*s[20])/891 - (85322*s[21])/891 + 
       (80923*s[22])/891 + (86557*s[23])/396 + (165754*s[24])/891 - 
       (4147975*s[25])/16038 + (1003793*s[26])/8019 - s[32]/2 - 2*s[36] + 
       (5*s[37])/3 + 8*s[38] - 32*s[39] + 38*s[40] - 30*s[41] + 47*s[42] + 
       (320*s[43])/11 - (347*s[44])/11 + (551*s[45])/33 - (6239*s[46])/33 + 
       (298*s[47])/33 + (166*s[48])/33 - (4249*s[49])/33 + (1652*s[50])/11 + 
       (357*s[51])/11 + (854*s[52])/33 - (9067*s[53])/99 - (95*s[54])/33 - 
       (6294*s[55])/11 - (14354*s[56])/99 + (174511*s[57])/594 - 
       (286399*s[58])/891 + (289018*s[59])/891 + (159679*s[60])/99 - 
       (514951*s[61])/8019 - 2*s[73] + 8*s[79] - (8*s[80])/3 + 6*s[84]) + 
     D33[u, v, w]*(4*s[3] + (75*s[4])/2 + (182*s[5])/11 + (1217*s[6])/22 + 
       (64589*s[7])/132 - (25253*s[8])/594 - (11000*s[9])/27 - 
       (3094*s[10])/27 - (220373*s[11])/396 - (125267*s[12])/198 - 
       (156161*s[13])/396 - (6989*s[14])/396 - (22069*s[15])/36 - 
       (159667*s[16])/198 - (223319*s[17])/396 - (13199*s[18])/162 - 
       (6530*s[19])/81 - (1648705*s[20])/1782 - (1147493*s[21])/3564 + 
       (917869*s[22])/3564 + (124715*s[23])/198 + (482632*s[24])/891 - 
       (11739067*s[25])/16038 + (6098317*s[26])/16038 - 2*s[36] + 
       (11*s[37])/3 + 24*s[38] - (165*s[39])/2 + (185*s[40])/2 - 
       (137*s[41])/2 + (229*s[42])/2 + (1623*s[43])/22 - (3317*s[44])/44 + 
       (2159*s[45])/33 - (36235*s[46])/66 + (3587*s[47])/132 + 
       (1673*s[48])/132 - (42881*s[49])/132 + (4505*s[50])/11 + 
       (10289*s[51])/132 + (8983*s[52])/132 - (26530*s[53])/99 + 
       (430*s[54])/33 - (225781*s[55])/132 - (181961*s[56])/396 + 
       (212426*s[57])/297 - (3272635*s[58])/3564 + (3260701*s[59])/3564 + 
       (399011*s[60])/88 - (7009747*s[61])/32076 + s[68] - s[69] + s[77] + 
       8*s[79] - (8*s[80])/3 + 6*s[84]) + HPL[{0, 1}, 1 - v]*M1[w, u, v]*
      (s[2] + 8*s[3] + (1319*s[4])/8 + (5077*s[5])/88 + (4691*s[6])/22 + 
       (3035407*s[7])/1584 - (477833*s[8])/2376 - (345553*s[9])/216 - 
       (20183*s[10])/54 - (1690015*s[11])/792 - (970417*s[12])/396 - 
       (1180007*s[13])/792 - (8647*s[14])/792 - (343475*s[15])/144 - 
       (4856821*s[16])/1584 - (272177*s[17])/132 - (268745*s[18])/648 - 
       (47597*s[19])/324 - (25566097*s[20])/7128 - (4506533*s[21])/3564 + 
       (3578899*s[22])/3564 + (4921727*s[23])/1584 + (26468995*s[24])/14256 - 
       (362020229*s[25])/128304 + (191370041*s[26])/128304 + (7*s[30])/2 + 
       s[31] + s[32] + (21*s[33])/8 - (5*s[34])/2 - 3*s[35] - 7*s[36] + 
       (2*s[37])/3 + 100*s[38] - (1485*s[39])/4 + (1645*s[40])/4 - 
       (1315*s[41])/4 + 537*s[42] + (1365*s[43])/4 - (5209*s[44])/16 + 
       (2123*s[45])/6 - (34015*s[46])/12 + (1819*s[47])/16 + (743*s[48])/16 - 
       (22605*s[49])/16 + (8515*s[50])/4 + (18029*s[51])/48 + 
       (5095*s[52])/16 - (107647*s[53])/72 + (2387*s[54])/12 - 
       (456367*s[55])/48 - (377251*s[56])/144 + (297367*s[57])/108 - 
       (5823803*s[58])/1296 + (5899295*s[59])/1296 + (6584861*s[60])/288 - 
       (7111447*s[61])/5832 + s[65]/2 + 2*s[66] - 4*s[67] - 2*s[68] - 
       6*s[69] - 2*s[70] - (3*s[71])/2 + 6*s[73] - s[74] + s[75] - 7*s[76] + 
       3*s[77] + 34*s[79] + (16*s[80])/3 - 90*s[82] - (3*s[83])/2 + 
       21*s[84]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*M1[w, u, v]*
      ((9*s[2])/2 + (7*s[3])/2 + (1903*s[4])/8 + (2125*s[5])/22 + 
       (13349*s[6])/44 + (567151*s[7])/198 - (325159*s[8])/1188 - 
       (259703*s[9])/108 - (65575*s[10])/108 - (5094785*s[11])/1584 - 
       (5789515*s[12])/1584 - (596005*s[13])/264 + (10445*s[14])/792 - 
       (86717*s[15])/24 - (307565*s[16])/66 - (5136943*s[17])/1584 - 
       (332927*s[18])/648 - (123371*s[19])/324 - (37815967*s[20])/7128 - 
       (13136851*s[21])/7128 + (1347850*s[22])/891 + (2229673*s[23])/528 + 
       (42038869*s[24])/14256 - (273628897*s[25])/64152 + 
       (140740387*s[26])/64152 + (3*s[30])/2 + 3*s[31] - s[32]/2 + 
       (31*s[33])/8 - (13*s[34])/2 - 4*s[35] - (40*s[36])/3 + (19*s[37])/2 + 
       (283*s[38])/2 - (4363*s[39])/8 + (14441*s[40])/24 - (3807*s[41])/8 + 
       (18883*s[42])/24 + (120883*s[43])/264 - (252905*s[44])/528 + 
       (39059*s[45])/88 - (248245*s[46])/66 + (314377*s[47])/1584 - 
       (2753*s[48])/1584 - (3246553*s[49])/1584 + (189565*s[50])/66 + 
       (858461*s[51])/1584 + (715727*s[52])/1584 - (194662*s[53])/99 + 
       (2758*s[54])/33 - (2156075*s[55])/176 - (5068735*s[56])/1584 + 
       (5288707*s[57])/1188 - (87233099*s[58])/14256 + 
       (88541339*s[59])/14256 + (288281833*s[60])/9504 - 
       (49269383*s[61])/32076 - s[70] - s[71] + 2*s[72] - 3*s[74] + 3*s[75] - 
       4*s[76] + 4*s[78] + 44*s[79] - s[80] - 102*s[82] + 24*s[84]) + 
     HPL[{0, 1}, 1 - u]*M1[w, u, v]*(8*s[2] - 2*s[3] + (2507*s[4])/8 + 
       (9029*s[5])/44 + (22371*s[6])/44 + (811991*s[7])/176 - 
       (935441*s[8])/2376 - (843133*s[9])/216 - (238325*s[10])/216 - 
       (2027081*s[11])/396 - (8977933*s[12])/1584 - (5447807*s[13])/1584 - 
       (584843*s[14])/1584 - (867703*s[15])/144 - (6083443*s[16])/792 - 
       (4531489*s[17])/792 - (277747*s[18])/324 - (50705*s[19])/81 - 
       (63693409*s[20])/7128 - (46285589*s[21])/14256 + 
       (34714399*s[22])/14256 + (9573973*s[23])/1584 + 
       (69463909*s[24])/14256 - (105696427*s[25])/16038 + 
       (114446267*s[26])/32076 - s[30]/2 + 5*s[31] - 2*s[32] + (41*s[33])/8 - 
       (21*s[34])/2 - 5*s[35] - (59*s[36])/3 + (49*s[37])/3 + 200*s[38] - 
       787*s[39] + (2579*s[40])/3 - (2731*s[41])/4 + (27503*s[42])/24 + 
       (21799*s[43])/33 - (186647*s[44])/264 + (42095*s[45])/66 - 
       (362611*s[46])/66 + (57403*s[47])/198 + (1361*s[48])/99 - 
       (2387797*s[49])/792 + (555883*s[50])/132 + (626717*s[51])/792 + 
       (499199*s[52])/792 - (286888*s[53])/99 + (6779*s[54])/66 - 
       (1586349*s[55])/88 - (413453*s[56])/88 + (4866871*s[57])/792 - 
       (5240299*s[58])/594 + (10683257*s[59])/1188 + (211458895*s[60])/4752 - 
       (1343165*s[61])/594 - s[65]/2 - 2*s[66] + 4*s[67] + 2*s[68] + 
       6*s[69] - s[71]/2 + 4*s[72] - 6*s[73] - 5*s[74] + 5*s[75] - s[76] - 
       3*s[77] + 8*s[78] + 54*s[79] - (22*s[80])/3 - 60*s[82] + (3*s[83])/2 + 
       27*s[84]) + HPL[{0, 1}, 1 - w]*M1[w, u, v]*(8*s[2] - 2*s[3] + 
       (2459*s[4])/8 + (9029*s[5])/44 + (22283*s[6])/44 + (603353*s[7])/132 - 
       (228209*s[8])/594 - (417731*s[9])/108 - (59339*s[10])/54 - 
       (4018159*s[11])/792 - (8891539*s[12])/1584 - (5398439*s[13])/1584 - 
       (611045*s[14])/1584 - (107261*s[15])/18 - (12050297*s[16])/1584 - 
       (4487731*s[17])/792 - (555947*s[18])/648 - (49718*s[19])/81 - 
       (7903097*s[20])/891 - (46104683*s[21])/14256 + 
       (34391395*s[22])/14256 + (4731233*s[23])/792 + (34307261*s[24])/7128 - 
       (836559611*s[25])/128304 + (454388939*s[26])/128304 - s[30]/2 + 
       5*s[31] - 2*s[32] + (41*s[33])/8 - (21*s[34])/2 - 5*s[35] - 
       (59*s[36])/3 + (37*s[37])/3 + 200*s[38] - 780*s[39] + (2558*s[40])/3 - 
       (2703*s[41])/4 + (27239*s[42])/24 + (21568*s[43])/33 - 
       (369433*s[44])/528 + (41633*s[45])/66 - (359179*s[46])/66 + 
       (454901*s[47])/1584 + (28541*s[48])/1584 - (4733057*s[49])/1584 + 
       (549943*s[50])/132 + (1239475*s[51])/1584 + (990841*s[52])/1584 - 
       (2261477*s[53])/792 + (13063*s[54])/132 - (9396247*s[55])/528 - 
       (819459*s[56])/176 + (4849909*s[57])/792 - (41608991*s[58])/4752 + 
       (42304787*s[59])/4752 + (418853279*s[60])/9504 - (1330867*s[61])/594 - 
       s[65]/2 - 2*s[66] + 4*s[67] + 2*s[68] + 6*s[69] - s[71]/2 + 4*s[72] - 
       6*s[73] - 5*s[74] + 5*s[75] - s[76] - 3*s[77] + 8*s[78] + 54*s[79] - 
       (22*s[80])/3 - 60*s[82] + (3*s[83])/2 + 27*s[84]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*
      (13*s[2] + (67*s[3])/4 + (1363*s[4])/8 - (5701*s[5])/44 + 
       (365*s[6])/88 - (324985*s[7])/1584 - (559313*s[8])/2376 + 
       (19673*s[9])/54 + (30637*s[10])/54 - (7673*s[11])/1584 - 
       (437927*s[12])/792 - (235511*s[13])/528 + (1989781*s[14])/1584 + 
       (18295*s[15])/16 + (224173*s[16])/264 + (3006161*s[17])/1584 - 
       (45019*s[18])/324 + (273245*s[19])/648 + (12434033*s[20])/7128 + 
       (12046675*s[21])/14256 - (2053643*s[22])/14256 + (125035*s[23])/33 - 
       (4112183*s[24])/3564 - (16710851*s[25])/32076 - 
       (4967593*s[26])/32076 - 4*s[28] - 5*s[29] + 6*s[30] + 3*s[31] + 
       3*s[32] + (43*s[33])/4 - 13*s[34] + 14*s[35] - (61*s[36])/6 - 
       (19*s[37])/6 + (191*s[38])/2 - (3427*s[39])/8 + (10261*s[40])/24 - 
       (2757*s[41])/8 + (15935*s[42])/24 + (73847*s[43])/264 - 
       (150781*s[44])/528 + (7933*s[45])/33 - (661429*s[46])/264 + 
       (407261*s[47])/1584 - (246205*s[48])/1584 - (1900439*s[49])/1584 + 
       (233083*s[50])/132 + (698455*s[51])/1584 + (609775*s[52])/1584 - 
       (1035005*s[53])/792 + (32713*s[54])/132 - (4037621*s[55])/528 - 
       (1268711*s[56])/528 + (1984369*s[57])/396 - (2447473*s[58])/528 + 
       (7238981*s[59])/1584 + (163997585*s[60])/9504 - 
       (48630517*s[61])/42768 - s[65]/2 + s[66] - 2*s[67] - 7*s[70] - 
       (3*s[71])/2 + 6*s[72] + 10*s[73] - (11*s[74])/2 + (11*s[75])/2 - 
       11*s[76] + 18*s[77] + 13*s[78] - 12*s[79] + (65*s[80])/3 - 186*s[82] - 
       3*s[83] + 42*s[84]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - v]*(2*s[2] + 16*s[3] + (1319*s[4])/4 + 
       (5077*s[5])/44 + (4691*s[6])/11 + (3035407*s[7])/792 - 
       (477833*s[8])/1188 - (345553*s[9])/108 - (20183*s[10])/27 - 
       (1690015*s[11])/396 - (970417*s[12])/198 - (1180007*s[13])/396 - 
       (8647*s[14])/396 - (343475*s[15])/72 - (4856821*s[16])/792 - 
       (272177*s[17])/66 - (268745*s[18])/324 - (47597*s[19])/162 - 
       (25566097*s[20])/3564 - (4506533*s[21])/1782 + (3578899*s[22])/1782 + 
       (4921727*s[23])/792 + (26468995*s[24])/7128 - (362020229*s[25])/
        64152 + (191370041*s[26])/64152 + 7*s[30] + 2*s[31] + 2*s[32] + 
       (21*s[33])/4 - 5*s[34] - 6*s[35] - 14*s[36] + (4*s[37])/3 + 
       200*s[38] - (1485*s[39])/2 + (1645*s[40])/2 - (1315*s[41])/2 + 
       1074*s[42] + (1365*s[43])/2 - (5209*s[44])/8 + (2123*s[45])/3 - 
       (34015*s[46])/6 + (1819*s[47])/8 + (743*s[48])/8 - (22605*s[49])/8 + 
       (8515*s[50])/2 + (18029*s[51])/24 + (5095*s[52])/8 - 
       (107647*s[53])/36 + (2387*s[54])/6 - (456367*s[55])/24 - 
       (377251*s[56])/72 + (297367*s[57])/54 - (5823803*s[58])/648 + 
       (5899295*s[59])/648 + (6584861*s[60])/144 - (7111447*s[61])/2916 + 
       s[65] + 4*s[66] - 8*s[67] - 4*s[68] - 12*s[69] - 4*s[70] - 3*s[71] + 
       12*s[73] - 2*s[74] + 2*s[75] - 14*s[76] + 6*s[77] + 68*s[79] + 
       (32*s[80])/3 - 180*s[82] - 3*s[83] + 42*s[84]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((47*s[2])/6 + (713*s[3])/12 + (11927*s[4])/24 + (4337*s[5])/22 + 
       (64907*s[6])/88 + (29707849*s[7])/4752 - (3814087*s[8])/7128 - 
       (1671103*s[9])/324 - (258619*s[10])/162 - (32931709*s[11])/4752 - 
       (9042587*s[12])/1188 - (822825*s[13])/176 - (2126917*s[14])/4752 - 
       (1201537*s[15])/144 - (8392925*s[16])/792 - (38373623*s[17])/4752 - 
       (497779*s[18])/486 - (2131211*s[19])/1944 - (256865849*s[20])/21384 - 
       (178831231*s[21])/42768 + (138908351*s[22])/42768 + 
       (676837*s[23])/88 + (148280119*s[24])/21384 - (870430015*s[25])/
        96228 + (458030377*s[26])/96228 - (8*s[30])/3 + (10*s[31])/3 + 
       (7*s[32])/6 + (41*s[33])/12 - (22*s[34])/3 - (13*s[35])/3 - 
       (233*s[36])/9 + (67*s[37])/9 + (664*s[38])/3 - (5189*s[39])/6 + 
       (17107*s[40])/18 - (4633*s[41])/6 + (45583*s[42])/36 + 
       (150407*s[43])/198 - (308191*s[44])/396 + (265693*s[45])/396 - 
       (2369321*s[46])/396 + (179887*s[47])/594 + (8153*s[48])/297 - 
       (3988877*s[49])/1188 + (899621*s[50])/198 + (1026277*s[51])/1188 + 
       (844471*s[52])/1188 - (3694699*s[53])/1188 + (20843*s[54])/198 - 
       (1280465*s[55])/66 - (674525*s[56])/132 + (2054516*s[57])/297 - 
       (8601359*s[58])/891 + (35147789*s[59])/3564 + (172490155*s[60])/3564 - 
       (50798503*s[61])/21384 - s[65]/3 - (4*s[66])/3 + (8*s[67])/3 + 
       (5*s[68])/3 + (11*s[69])/3 + (2*s[70])/3 - (5*s[71])/3 + 
       (14*s[72])/3 - 8*s[73] - (11*s[74])/2 + (11*s[75])/2 - (16*s[76])/3 - 
       (4*s[77])/3 + (26*s[78])/3 + (220*s[79])/3 + (29*s[80])/9 - 
       148*s[82] + s[83] + 42*s[84]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - u]*((71*s[2])/6 + (797*s[3])/12 + 
       (7775*s[4])/24 + (3277*s[5])/33 + (114245*s[6])/264 + 
       (17503591*s[7])/4752 - (259049*s[8])/792 - (26989*s[9])/9 - 
       (36049*s[10])/36 - (6265423*s[11])/1584 - (93177*s[12])/22 - 
       (11901575*s[13])/4752 - (542095*s[14])/1584 - (2233777*s[15])/432 - 
       (7615721*s[16])/1188 - (24709027*s[17])/4752 - (215429*s[18])/324 - 
       (391985*s[19])/648 - (51211889*s[20])/7128 - (35114789*s[21])/14256 + 
       (8925307*s[22])/4752 + (1481758*s[23])/297 + (1159979*s[24])/297 - 
       (329803759*s[25])/64152 + (173639251*s[26])/64152 - (4*s[30])/3 + 
       (10*s[31])/3 + (47*s[32])/6 + (25*s[33])/12 - (20*s[34])/3 - 
       (11*s[35])/3 - (218*s[36])/9 + (29*s[37])/6 + (208*s[38])/3 - 
       (5161*s[39])/12 + (17639*s[40])/36 - (1747*s[41])/4 + (6529*s[42])/9 + 
       (125809*s[43])/396 - (144013*s[44])/396 + (6367*s[45])/22 - 
       (1169173*s[46])/396 + (67667*s[47])/297 - (172027*s[48])/1188 - 
       (1692719*s[49])/1188 + (469097*s[50])/198 + (160921*s[51])/297 + 
       (234197*s[52])/594 - (488582*s[53])/297 + (16013*s[54])/99 - 
       (972896*s[55])/99 - (3258863*s[56])/1188 + (6984343*s[57])/1782 - 
       (25906409*s[58])/5346 + (52099387*s[59])/10692 + 
       (162634979*s[60])/7128 - (243074201*s[61])/192456 - s[65]/3 - 
       (4*s[66])/3 + (8*s[67])/3 + (23*s[68])/3 + (23*s[69])/3 + 
       (2*s[70])/3 - (5*s[71])/3 + (10*s[72])/3 - (44*s[73])/3 - 
       (31*s[74])/6 + (31*s[75])/6 - 4*s[76] + (16*s[77])/3 + (14*s[78])/3 + 
       68*s[79] - 124*s[82] + s[83] + 42*s[84]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      (27*s[2] - 17*s[3] + (1115*s[4])/2 + (8427*s[5])/44 + (28849*s[6])/44 + 
       (616982*s[7])/99 - (818749*s[8])/1188 - (279223*s[9])/54 - 
       (61751*s[10])/54 - (2823221*s[11])/396 - (3291727*s[12])/396 - 
       (339223*s[13])/66 + (182719*s[14])/396 - (88783*s[15])/12 - 
       (1317379*s[16])/132 - (639937*s[17])/99 - (388465*s[18])/324 - 
       (221153*s[19])/324 - (9827915*s[20])/891 - (13489193*s[21])/3564 + 
       (11753971*s[22])/3564 + (1425643*s[23])/132 + (21082207*s[24])/3564 - 
       (613984501*s[25])/64152 + (305872687*s[26])/64152 - 4*s[28] - 
       5*s[29] + 2*s[30] + 11*s[31] - 3*s[32] + 17*s[33] - 28*s[34] - 
       2*s[35] - (101*s[36])/2 + (71*s[37])/3 + 360*s[38] - (11599*s[39])/8 + 
       (12443*s[40])/8 - (9719*s[41])/8 + (16989*s[42])/8 + 
       (96473*s[43])/88 - (216879*s[44])/176 + (127805*s[45])/132 - 
       (2388931*s[46])/264 + (338707*s[47])/528 - (102635*s[48])/528 - 
       (2718349*s[49])/528 + (75678*s[50])/11 + (754217*s[51])/528 + 
       (624677*s[52])/528 - (3691763*s[53])/792 + (5195*s[54])/66 - 
       (14985149*s[55])/528 - (11847533*s[56])/1584 + (3892814*s[57])/297 - 
       (217475023*s[58])/14256 + (219210961*s[59])/14256 + 
       (225797663*s[60])/3168 - (459528337*s[61])/128304 - 3*s[65] - 
       7*s[66] + 14*s[67] + 24*s[69] - 3*s[70] + s[71] + 14*s[72] - 
       14*s[73] - (27*s[74])/2 + (27*s[75])/2 - 11*s[76] - 2*s[77] + 
       29*s[78] + 84*s[79] - (23*s[80])/3 - 168*s[82] + 3*s[83] + 54*s[84]) + 
     HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - v]*((5*s[2])/4 + (3395*s[3])/8 + 
       (32975*s[4])/16 + (8192*s[5])/11 + (514585*s[6])/176 + 
       (70311409*s[7])/3168 - (11336711*s[8])/4752 - (979265*s[9])/54 - 
       (847135*s[10])/216 - (79277147*s[11])/3168 - (22907755*s[12])/792 - 
       (57778789*s[13])/3168 - (593951*s[14])/3168 - (7796135*s[15])/288 - 
       (27738289*s[16])/792 - (8234429*s[17])/352 - (1552949*s[18])/324 - 
       (2309059*s[19])/1296 - (578509843*s[20])/14256 - 
       (417009569*s[21])/28512 + (322275013*s[22])/28512 + 
       (30445751*s[23])/792 + (76156583*s[24])/3564 - 
       (4255639249*s[25])/128304 + (2266501657*s[26])/128304 - 2*s[30] - 
       s[31] + 26*s[32] + (87*s[33])/8 - (11*s[35])/2 + (103*s[36])/6 + 
       (1205*s[37])/12 + 1624*s[38] - (18933*s[39])/4 + (62185*s[40])/12 - 
       (15975*s[41])/4 + (39259*s[42])/6 + (569429*s[43])/132 - 
       (2046281*s[44])/528 + (1165441*s[45])/264 - (8706581*s[46])/264 + 
       (2722567*s[47])/1584 + (216547*s[48])/1584 - (26712205*s[49])/1584 + 
       (3200027*s[50])/132 + (7441559*s[51])/1584 + (6714869*s[52])/1584 - 
       (1655168*s[53])/99 + (323393*s[54])/132 - (57837001*s[55])/528 - 
       (15990233*s[56])/528 + (10725959*s[57])/264 - (265395101*s[58])/4752 + 
       (269564975*s[59])/4752 + (2520491353*s[60])/9504 - 
       (600282877*s[61])/42768 + (7*s[64])/2 + (31*s[65])/2 + 16*s[66] - 
       33*s[67] - 16*s[68] - 57*s[69] + 13*s[70] - (79*s[71])/2 - 5*s[72] + 
       29*s[73] + (41*s[74])/4 + (5*s[75])/4 - 4*s[76] + (53*s[77])/2 - 
       31*s[78] + 364*s[79] + (407*s[80])/6 - 2130*s[82] - 24*s[83] + 
       138*s[84]) + HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - u]*
      ((-65*s[2])/2 - (631*s[3])/4 + (2825*s[4])/8 - (42235*s[5])/88 + 
       (421*s[6])/11 + (3293399*s[7])/1584 + (238625*s[8])/1188 - 
       (494677*s[9])/216 - (106901*s[10])/216 - (6089309*s[11])/1584 - 
       (4438187*s[12])/792 - (2539879*s[13])/528 + (2015653*s[14])/1584 - 
       (4193*s[15])/48 - (239817*s[16])/88 + (3125555*s[17])/1584 + 
       (374287*s[18])/648 - (693289*s[19])/648 - (22052155*s[20])/7128 - 
       (6542819*s[21])/14256 + (25225345*s[22])/14256 + (165127*s[23])/264 + 
       (29575583*s[24])/7128 - (675013637*s[25])/128304 + 
       (233049845*s[26])/128304 + 4*s[28] + 24*s[29] + s[30] + 26*s[31] - 
       (81*s[32])/2 + (141*s[33])/4 - 21*s[34] + 8*s[35] + (115*s[36])/6 - 
       (913*s[37])/12 + 550*s[38] - (4759*s[39])/8 + (25793*s[40])/24 - 
       (6095*s[41])/8 + (15685*s[42])/24 + (265267*s[43])/264 - 
       (528761*s[44])/528 - (127955*s[45])/264 + (5762*s[46])/33 - 
       (675473*s[47])/1584 + (2937301*s[48])/1584 - (6660061*s[49])/1584 + 
       (3779*s[50])/33 + (1073693*s[51])/1584 + (947579*s[52])/1584 + 
       (498305*s[53])/198 - (89668*s[54])/33 + (6361457*s[55])/528 + 
       (1604183*s[56])/528 + (6777035*s[57])/396 - (827091*s[58])/176 + 
       (4813711*s[59])/1584 + (144307033*s[60])/9504 + 
       (50716289*s[61])/21384 - 16*s[63] + (9*s[64])/2 + 12*s[65] + 
       16*s[66] - 24*s[67] + 32*s[68] - 71*s[69] + 216*s[70] - 21*s[71] - 
       16*s[72] + 4*s[73] + 25*s[74] - 16*s[75] + 66*s[76] - 192*s[77] - 
       60*s[78] + 624*s[79] - (637*s[80])/6 + 144*s[82] - 93*s[83] + 
       174*s[84]) + HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - w]*
      (43*s[2] - (1121*s[3])/4 - (889*s[4])/8 - (50381*s[5])/88 - 
       (5169*s[6])/22 - (6808265*s[7])/1584 + (7214*s[8])/11 + 
       (79349*s[9])/24 + (13219*s[10])/8 + (1643561*s[11])/528 + 
       (148781*s[12])/88 - (270221*s[13])/1584 + (547871*s[14])/528 + 
       (1408841*s[15])/144 + (6773813*s[16])/792 + (17686655*s[17])/1584 + 
       (267839*s[18])/216 + (130411*s[19])/216 + (21769309*s[20])/2376 + 
       (20081503*s[21])/4752 - (307691*s[22])/176 - (6190555*s[23])/792 - 
       (2520181*s[24])/792 + (151424551*s[25])/42768 - 
       (125450695*s[26])/42768 - 24*s[30] + 4*s[31] + (51*s[32])/2 - 
       (29*s[33])/4 + 7*s[34] + 22*s[35] + 43*s[36] - (653*s[37])/12 + 
       282*s[38] - (297*s[39])/2 + (959*s[40])/2 - (605*s[41])/2 + 
       (67*s[42])/2 + (6689*s[43])/22 - (5371*s[44])/11 - 
       (333967*s[45])/264 + (1362793*s[46])/264 - (5551*s[47])/22 + 
       (16678*s[48])/11 - (28909*s[49])/22 - (200757*s[50])/44 + 
       (3005*s[51])/33 + (6837*s[52])/22 + (4187567*s[53])/792 - 
       (76787*s[54])/66 + (1389637*s[55])/44 + (2755733*s[56])/396 + 
       (17478655*s[57])/1188 + (21163229*s[58])/7128 - 
       (10043381*s[59])/1782 - (51996107*s[60])/1584 + 
       (535152829*s[61])/128304 + 24*s[62] + s[64]/2 + s[65]/2 + 24*s[68] - 
       15*s[69] + 107*s[70] - 5*s[71] - 44*s[72] - 18*s[73] + (25*s[74])/2 - 
       28*s[75] + 18*s[76] - 53*s[77] - 50*s[78] + 452*s[79] - 
       (827*s[80])/6 - (2*s[81])/3 + 144*s[82] - 93*s[83] + 174*s[84]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      (-226*s[2] - 728*s[3] - (20491*s[4])/2 - (383507*s[5])/44 - 
       (227686*s[6])/11 - (2078220*s[7])/11 + (1430233*s[8])/99 + 
       (2873221*s[9])/18 + (1941025*s[10])/36 + (54617155*s[11])/264 + 
       (59007155*s[12])/264 + (8740549*s[13])/66 + (3938189*s[14])/132 + 
       (3058267*s[15])/12 + (10675616*s[16])/33 + (67408921*s[17])/264 + 
       (3745903*s[18])/108 + (815888*s[19])/27 + (456406349*s[20])/1188 + 
       (83183899*s[21])/594 - (29494426*s[22])/297 - (52633025*s[23])/264 - 
       (502329779*s[24])/2376 + (2779548815*s[25])/10692 - 
       (1547746733*s[26])/10692 - 10*s[30] - 52*s[31] - 6*s[32] + 12*s[33] - 
       6*s[34] + 112*s[35] + 333*s[36] - 234*s[37] - 5747*s[38] + 
       (47111*s[39])/2 - (53337*s[40])/2 + (42429*s[41])/2 - 33451*s[42] - 
       (488843*s[43])/22 + (259411*s[44])/11 - (1234411*s[45])/44 + 
       (9201163*s[46])/44 - (188690*s[47])/33 - (500437*s[48])/66 + 
       (13805843*s[49])/132 - (1799603*s[50])/11 - (3035749*s[51])/132 - 
       (571576*s[52])/33 + (14936477*s[53])/132 + (47903*s[54])/11 + 
       (47709053*s[55])/66 + (24622607*s[56])/132 - (27603541*s[57])/198 + 
       (185613695*s[58])/594 - (377846323*s[59])/1188 - 
       (345567539*s[60])/198 + (2006848733*s[61])/21384 - 84*s[70] - 
       9*s[71] - 72*s[72] + 4*s[73] + 89*s[74] - 104*s[75] + 88*s[76] + 
       112*s[77] - 72*s[78] - 1824*s[79] + 532*s[80] - 9072*s[82] - 
       36*s[83] - 1008*s[84] - 1944*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - w]*(-226*s[2] - (1687*s[3])/2 - 
       (41551*s[4])/4 - (397401*s[5])/44 - (967841*s[6])/44 - 
       (51858487*s[7])/264 + (17204263*s[8])/1188 + (4473497*s[9])/27 + 
       (6184207*s[10])/108 + (42457513*s[11])/198 + (182614061*s[12])/792 + 
       (108281281*s[13])/792 + (27432685*s[14])/792 + (19159733*s[15])/72 + 
       (66839821*s[16])/198 + (26678579*s[17])/99 + (11612053*s[18])/324 + 
       (10388819*s[19])/324 + (358244714*s[20])/891 + 
       (1046474365*s[21])/7128 - (734473493*s[22])/7128 - 
       (156010787*s[23])/792 - (1579800125*s[24])/7128 + 
       (4302912337*s[25])/16038 - (1206446345*s[26])/8019 + 12*s[29] + 
       20*s[30] - 40*s[31] - 4*s[32] + (3*s[33])/2 - 54*s[34] + 94*s[35] + 
       315*s[36] - (266*s[37])/3 - 5746*s[38] + 23425*s[39] - 26766*s[40] + 
       (42913*s[41])/2 - 33135*s[42] - (250154*s[43])/11 + 
       (262951*s[44])/11 - (3805385*s[45])/132 + (28129895*s[46])/132 - 
       (171790*s[47])/33 - (301975*s[48])/33 + (14086207*s[49])/132 - 
       (3678687*s[50])/22 - (2966429*s[51])/132 - (1140247*s[52])/66 + 
       (45772279*s[53])/396 + (311551*s[54])/66 + (48902461*s[55])/66 + 
       (75211025*s[56])/396 - (76229911*s[57])/594 + (560868491*s[58])/1782 - 
       (1143886297*s[59])/3564 - (354170813*s[60])/198 + 
       (6138810353*s[61])/64152 + 2*s[64] + 3*s[65] - 4*s[66] + 24*s[68] - 
       32*s[69] - 90*s[70] - 36*s[72] - 48*s[73] + 83*s[74] - 86*s[75] + 
       46*s[76] + 136*s[77] - 20*s[78] - 2024*s[79] + (1802*s[80])/3 - 
       9072*s[82] - 36*s[83] - 1008*s[84] - 1944*s[85]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      ((-2157*s[2])/4 - (5895*s[3])/8 - (44425*s[4])/4 - (1951553*s[5])/176 - 
       (4486563*s[6])/176 - (232021793*s[7])/1056 + (74275787*s[8])/4752 + 
       (40419671*s[9])/216 + (26488439*s[10])/432 + (759253925*s[11])/3168 + 
       (408177485*s[12])/1584 + (485717909*s[13])/3168 + 
       (131114573*s[14])/3168 + (85289593*s[15])/288 + 
       (148138039*s[16])/396 + (940734347*s[17])/3168 + (7011775*s[18])/162 + 
       (38726773*s[19])/1296 + (6442360867*s[20])/14256 + 
       (4834948541*s[21])/28512 - (3299359771*s[22])/28512 - 
       (185003683*s[23])/792 - (858849653*s[24])/3564 + 
       (38166294739*s[25])/128304 - (21930668491*s[26])/128304 - 18*s[28] - 
       36*s[29] + (31*s[30])/4 - (341*s[31])/2 - (3*s[32])/4 - 
       (1045*s[33])/16 + (603*s[34])/4 + 158*s[35] + (2221*s[36])/6 - 
       (2647*s[37])/6 - (13893*s[38])/2 + (110313*s[39])/4 - 
       (377687*s[40])/12 + (99143*s[41])/4 - (237749*s[42])/6 - 
       (3323719*s[43])/132 + (7012745*s[44])/264 - (7995055*s[45])/264 + 
       (20167537*s[46])/88 - (6657481*s[47])/792 - (4830601*s[48])/792 + 
       (89825017*s[49])/792 - (23222887*s[50])/132 - (22015457*s[51])/792 - 
       (17391185*s[52])/792 + (10718331*s[53])/88 - (85445*s[54])/22 + 
       (25707062*s[55])/33 + (165592931*s[56])/792 - (116297873*s[57])/594 + 
       (2539650823*s[58])/7128 - (320170313*s[59])/891 - 
       (559674109*s[60])/297 + (13117449179*s[61])/128304 + 51*s[63] - 
       s[64] - (25*s[65])/2 - 18*s[66] + (73*s[67])/2 - (185*s[68])/2 + 
       39*s[69] - 328*s[70] + (79*s[71])/2 - 40*s[72] - 28*s[73] + 
       (405*s[74])/4 - 111*s[75] + (185*s[76])/2 + (793*s[77])/2 - 39*s[78] - 
       2600*s[79] + (2743*s[80])/6 - 4263*s[82] + 15*s[83] - 1227*s[84] - 
       1548*s[85]) + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      ((-1467*s[2])/4 - (5181*s[3])/8 - (108479*s[4])/8 - 
       (1947091*s[5])/176 - (4894779*s[6])/176 - (250702355*s[7])/1056 + 
       (88935079*s[8])/4752 + (5431976*s[9])/27 + (27002977*s[10])/432 + 
       (826210723*s[11])/3168 + (450481831*s[12])/1584 + 
       (539380483*s[13])/3168 + (113181091*s[14])/3168 + 
       (90574415*s[15])/288 + (39664844*s[16])/99 + (982520761*s[17])/3168 + 
       (30152087*s[18])/648 + (40620875*s[19])/1296 + 
       (6808953611*s[20])/14256 + (5041731295*s[21])/28512 - 
       (3557822465*s[22])/28512 - (54196607*s[23])/198 - 
       (1820656331*s[24])/7128 + (10532882549*s[25])/32076 - 
       (5926796723*s[26])/32076 - (347*s[30])/4 - (281*s[31])/2 - 
       (143*s[32])/4 - (1573*s[33])/16 + (837*s[34])/4 + 404*s[35] + 
       (2899*s[36])/6 - (1627*s[37])/4 - (16803*s[38])/2 + (133789*s[39])/4 - 
       (447995*s[40])/12 + (117191*s[41])/4 - (288131*s[42])/6 - 
       (3904291*s[43])/132 + (8174513*s[44])/264 - (2990487*s[45])/88 + 
       (69993701*s[46])/264 - (8999101*s[47])/792 - (3606439*s[48])/792 + 
       (105667807*s[49])/792 - (26693107*s[50])/132 - (26407319*s[51])/792 - 
       (21140027*s[52])/792 + (110979265*s[53])/792 - (323371*s[54])/66 + 
       (78324617*s[55])/88 + (189450961*s[56])/792 - (294314357*s[57])/1188 + 
       (1485181627*s[58])/3564 - (2993611505*s[59])/7128 - 
       (2567377699*s[60])/1188 + (15018538555*s[61])/128304 - 3*s[64] + 
       (5*s[65])/2 + 22*s[66] - 13*s[67] - (209*s[68])/2 - 13*s[69] - 
       163*s[70] + (85*s[71])/2 - 136*s[72] + 27*s[73] + (279*s[74])/2 - 
       (327*s[75])/2 + 283*s[76] + (439*s[77])/2 - 334*s[78] - 2748*s[79] + 
       (857*s[80])/2 + s[81] - 4263*s[82] + 15*s[83] - 1227*s[84] - 
       1548*s[85]) + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      ((-621*s[2])/2 - (1717*s[3])/4 - (98087*s[4])/8 - (469251*s[5])/44 - 
       (2150275*s[6])/88 - (39615077*s[7])/176 + (40996735*s[8])/2376 + 
       (20604991*s[9])/108 + (6741689*s[10])/108 + (390354829*s[11])/1584 + 
       (105741293*s[12])/396 + (251110627*s[13])/1584 + 
       (53632441*s[14])/1584 + (43600031*s[15])/144 + (303694949*s[16])/792 + 
       (475804999*s[17])/1584 + (13733825*s[18])/324 + (21958337*s[19])/648 + 
       (3248970011*s[20])/7128 + (2388286507*s[21])/14256 - 
       (1691527679*s[22])/14256 - (194226163*s[23])/792 - 
       (1768049317*s[24])/7128 + (4971769505*s[25])/16038 - 
       (1391071360*s[26])/8019 - 59*s[30] - 112*s[31] - 15*s[32] - 49*s[33] + 
       153*s[34] + 197*s[35] + (1838*s[36])/3 - (1361*s[37])/3 - 6956*s[38] + 
       (117111*s[39])/4 - (393317*s[40])/12 + (103051*s[41])/4 - 
       (504553*s[42])/12 - (3471115*s[43])/132 + (7477799*s[44])/264 - 
       (2066821*s[45])/66 + (10699481*s[46])/44 - (6814201*s[47])/792 - 
       (4886935*s[48])/792 + (97770535*s[49])/792 - (12417371*s[50])/66 - 
       (22478987*s[51])/792 - (17678273*s[52])/792 + (17239141*s[53])/132 + 
       (819*s[54])/11 + (218559799*s[55])/264 + (171528233*s[56])/792 - 
       (227155651*s[57])/1188 + (2641943797*s[58])/7128 - 
       (2680182583*s[59])/7128 - (9526324609*s[60])/4752 + 
       (6900520123*s[61])/64152 + 2*s[64] + 31*s[65] + 24*s[66] - 22*s[67] - 
       46*s[68] - 38*s[69] - 106*s[70] - 37*s[71] - 106*s[72] + 2*s[73] + 
       (309*s[74])/2 - (297*s[75])/2 + 196*s[76] + 185*s[77] - 234*s[78] - 
       2204*s[79] + (1940*s[80])/3 - 7548*s[82] - 75*s[83] - 1074*s[84] - 
       1440*s[85]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      ((-419*s[2])/2 - (5787*s[3])/8 - (104467*s[4])/8 - (1632933*s[5])/176 - 
       (4160125*s[6])/176 - (673411991*s[7])/3168 + (80916271*s[8])/4752 + 
       (9669871*s[9])/54 + (24420115*s[10])/432 + (742288333*s[11])/3168 + 
       (406308007*s[12])/1584 + (488404337*s[13])/3168 + 
       (83195341*s[14])/3168 + (81136429*s[15])/288 + (284551217*s[16])/792 + 
       (291513833*s[17])/1056 + (25213589*s[18])/648 + 
       (42129635*s[19])/1296 + (6022282655*s[20])/14256 + 
       (4369354261*s[21])/28512 - (3181142483*s[22])/28512 - 
       (97350857*s[23])/396 - (831107707*s[24])/3564 + 
       (38258346737*s[25])/128304 - (21002177441*s[26])/128304 + 
       (133*s[30])/4 - (119*s[31])/2 + 38*s[32] - (259*s[33])/16 + 
       (221*s[34])/4 + (313*s[35])/2 + (2557*s[36])/6 - (1076*s[37])/3 - 
       (31035*s[38])/4 + (239047*s[39])/8 - (802945*s[40])/24 + 26570*s[41] - 
       (254609*s[42])/6 - (7228127*s[43])/264 + (15050953*s[44])/528 - 
       (4179911*s[45])/132 + (21442999*s[46])/88 - (13930553*s[47])/1584 - 
       (10737143*s[48])/1584 + (198762803*s[49])/1584 - 
       (49719449*s[50])/264 - (46664053*s[51])/1584 - (37115467*s[52])/1584 + 
       (11406651*s[53])/88 - (8053*s[54])/88 + (435896569*s[55])/528 + 
       (340682797*s[56])/1584 - (238128343*s[57])/1188 + 
       (5342865197*s[58])/14256 - (5416906721*s[59])/14256 - 
       (19166179433*s[60])/9504 + (13650894335*s[61])/128304 + (5*s[64])/4 + 
       (19*s[65])/4 + 18*s[66] - (103*s[67])/2 - 41*s[68] - (127*s[69])/2 - 
       29*s[70] + (125*s[71])/4 - 58*s[72] + 44*s[73] + (479*s[74])/4 - 
       131*s[75] + (93*s[76])/2 + (7*s[77])/2 - 79*s[78] - 2354*s[79] + 
       (2887*s[80])/6 - 4551*s[82] - 21*s[83] - 1143*s[84] - 1344*s[85]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      (-199*s[2] - (6157*s[3])/8 - (25781*s[4])/2 - (1618725*s[5])/176 - 
       (4046303*s[6])/176 - (661058933*s[7])/3168 + (8813725*s[8])/528 + 
       (2109175*s[9])/12 + (2669299*s[10])/48 + (242951453*s[11])/1056 + 
       (44305623*s[12])/176 + (478429711*s[13])/3168 + 
       (27059957*s[14])/1056 + (79845071*s[15])/288 + (279695293*s[16])/792 + 
       (859810793*s[17])/3168 + (8231377*s[18])/216 + (13903507*s[19])/432 + 
       (1972863055*s[20])/4752 + (1431546937*s[21])/9504 - 
       (347026049*s[22])/3168 - (96227347*s[23])/396 - (90738635*s[24])/396 + 
       (12521145689*s[25])/42768 - (6872636357*s[26])/42768 + (89*s[30])/4 - 
       (119*s[31])/2 + 25*s[32] - (419*s[33])/16 + (253*s[34])/4 + 
       (347*s[35])/2 + (1280*s[36])/3 - (1563*s[37])/4 - (29923*s[38])/4 + 
       29349*s[39] - (98816*s[40])/3 + (208773*s[41])/8 - 
       (1006487*s[42])/24 - (1749029*s[43])/66 + (7407689*s[44])/264 - 
       (2655463*s[45])/88 + (62259641*s[46])/264 - (1773031*s[47])/198 - 
       (586331*s[48])/99 + (48366833*s[49])/396 - (48155933*s[50])/264 - 
       (22937609*s[51])/792 - (18066233*s[52])/792 + (99137737*s[53])/792 - 
       (102451*s[54])/264 + (17521175*s[55])/22 + (20629463*s[56])/99 - 
       (120231979*s[57])/594 + (1299990739*s[58])/3564 - 
       (1318055809*s[59])/3564 - (9257347465*s[60])/4752 + 
       (13173053695*s[61])/128304 + (5*s[64])/4 + (19*s[65])/4 + 18*s[66] - 
       (103*s[67])/2 - 41*s[68] - (127*s[69])/2 - 29*s[70] + (41*s[71])/4 - 
       68*s[72] + 78*s[73] + (495*s[74])/4 - 129*s[75] + (209*s[76])/2 + 
       (17*s[77])/2 - 115*s[78] - 2430*s[79] + 561*s[80] - 4551*s[82] - 
       21*s[83] - 1143*s[84] - 1344*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - u]*((-589*s[2])/6 - (681*s[3])/4 - 
       (264715*s[4])/24 - (250114*s[5])/33 - (5304955*s[6])/264 - 
       (97745405*s[7])/528 + (33976139*s[8])/2376 + (16979885*s[9])/108 + 
       (5405023*s[10])/108 + (324414515*s[11])/1584 + (178160099*s[12])/792 + 
       (215504639*s[13])/1584 + (38623601*s[14])/1584 + 
       (35006833*s[15])/144 + (30871490*s[16])/99 + (374739617*s[17])/1584 + 
       (5406575*s[18])/162 + (18364945*s[19])/648 + (2643387451*s[20])/7128 + 
       (1908241271*s[21])/14256 - (1399352983*s[22])/14256 - 
       (162137645*s[23])/792 - (1462804553*s[24])/7128 + 
       (4164952021*s[25])/16038 - (2283572725*s[26])/16038 - 6*s[28] - 
       24*s[29] + (22*s[30])/3 - (170*s[31])/3 + (124*s[32])/3 - 
       (41*s[33])/4 + 8*s[34] + (113*s[35])/3 + (691*s[36])/3 - 
       (1667*s[37])/6 - 6743*s[38] + (300745*s[39])/12 - (346997*s[40])/12 + 
       (273377*s[41])/12 - (427561*s[42])/12 - (3098659*s[43])/132 + 
       (3254203*s[44])/132 - (1754539*s[45])/66 + (27094399*s[46])/132 - 
       (2618311*s[47])/396 - (1521197*s[48])/198 + (21136763*s[49])/198 - 
       (5244433*s[50])/33 - (9866429*s[51])/396 - (3961831*s[52])/198 + 
       (21153337*s[53])/198 + (34345*s[54])/22 + (22704106*s[55])/33 + 
       (11926385*s[56])/66 - (71629979*s[57])/396 + (31684973*s[58])/99 - 
       (42443129*s[59])/132 - (2036293433*s[60])/1188 + 
       (1883702731*s[61])/21384 + 36*s[63] - 24*s[65] - 48*s[66] + 54*s[67] - 
       24*s[68] + 114*s[69] - 336*s[70] + 46*s[71] - 6*s[72] - 102*s[73] + 
       (407*s[74])/6 - (455*s[75])/6 - (28*s[76])/3 + (1121*s[77])/3 + 
       90*s[78] - 3180*s[79] + (2287*s[80])/3 - 4716*s[82] + 117*s[83] - 
       1374*s[84] - 1296*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*((-533*s[2])/3 - 18*s[3] - 
       (127811*s[4])/12 - (951373*s[5])/132 - (2568755*s[6])/132 - 
       (23451475*s[7])/132 + (5531011*s[8])/396 + (5420507*s[9])/36 + 
       (1717471*s[10])/36 + (51878219*s[11])/264 + (19030823*s[12])/88 + 
       (17199877*s[13])/132 + (3111587*s[14])/132 + (930421*s[15])/4 + 
       (13177375*s[16])/44 + (59908895*s[17])/264 + (1713863*s[18])/54 + 
       (1461109*s[19])/54 + (422342699*s[20])/1188 + (37824044*s[21])/297 - 
       (55909631*s[22])/594 - (51670381*s[23])/264 - (468567227*s[24])/2376 + 
       (5341466311*s[25])/21384 - (2915964763*s[26])/21384 + (25*s[30])/3 - 
       (98*s[31])/3 - (2*s[32])/3 + (21*s[33])/4 - 5*s[34] + (128*s[35])/3 + 
       (880*s[36])/3 - (1933*s[37])/6 - 6280*s[38] + (292879*s[39])/12 - 
       (337367*s[40])/12 + (266591*s[41])/12 - (418909*s[42])/12 - 
       (2974801*s[43])/132 + (6342077*s[44])/264 - (278892*s[45])/11 + 
       (26213975*s[46])/132 - (5297291*s[47])/792 - (5573237*s[48])/792 + 
       (81743219*s[49])/792 - (5076409*s[50])/33 - (19160071*s[51])/792 - 
       (15338239*s[52])/792 + (41100493*s[53])/396 + (442*s[54])/33 + 
       (175629991*s[55])/264 + (139282961*s[56])/792 - (51980842*s[57])/297 + 
       (2201298967*s[58])/7128 - (2211372037*s[59])/7128 - 
       (7866647585*s[60])/4752 + (5499570187*s[61])/64152 - 33*s[62] - 
       12*s[65] - 24*s[66] + 24*s[67] - 12*s[68] + 54*s[69] - 192*s[70] + 
       25*s[71] - 16*s[72] + 40*s[73] + (247*s[74])/3 - (196*s[75])/3 + 
       (218*s[76])/3 + (632*s[77])/3 + 32*s[78] - 3172*s[79] + 
       (2549*s[80])/3 + s[81] - 4716*s[82] + 117*s[83] - 1374*s[84] - 
       1296*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - v]*((-616*s[2])/3 - (559*s[3])/2 - 
       (20489*s[4])/2 - (464357*s[5])/66 - (838291*s[6])/44 - 
       (408344443*s[7])/2376 + (48000649*s[8])/3564 + (23549671*s[9])/162 + 
       (3778024*s[10])/81 + (225194219*s[11])/1188 + (493727387*s[12])/2376 + 
       (99487387*s[13])/792 + (53943859*s[14])/2376 + (16278517*s[15])/72 + 
       (28708120*s[16])/99 + (263047237*s[17])/1188 + (30221155*s[18])/972 + 
       (25293755*s[19])/972 + (1833689515*s[20])/5346 + 
       (2639418037*s[21])/21384 - (1941732659*s[22])/21384 - 
       (152465081*s[23])/792 - (4058413637*s[24])/21384 + 
       (23181725495*s[25])/96228 - (12678304097*s[26])/96228 - 72*s[29] + 
       (31*s[30])/3 - (302*s[31])/3 + (58*s[32])/3 + (105*s[33])/4 - 
       (29*s[34])/3 + 48*s[35] + (2443*s[36])/9 - (5393*s[37])/18 - 
       (17695*s[38])/3 + (137915*s[39])/6 - (477011*s[40])/18 + 
       (62879*s[41])/3 - (591919*s[42])/18 - (4219327*s[43])/198 + 
       (2242004*s[44])/99 - (4813289*s[45])/198 + (6235360*s[46])/33 - 
       (3748571*s[47])/594 - (1994983*s[48])/297 + (115730605*s[49])/1188 - 
       (14492480*s[50])/99 - (27139469*s[51])/1188 - (5428463*s[52])/297 + 
       (1089020*s[53])/11 + (1357*s[54])/66 + (6980335*s[55])/11 + 
       (199516499*s[56])/1188 - (145383428*s[57])/891 + 
       (3132562657*s[58])/10692 - (3146481787*s[59])/10692 - 
       (11222029579*s[60])/7128 + (7900300987*s[61])/96228 - 30*s[62] - 
       10*s[65] - 24*s[66] + 24*s[67] - 12*s[68] + 48*s[69] - 196*s[70] + 
       24*s[71] - 24*s[72] + 28*s[73] + (223*s[74])/3 - (187*s[75])/3 + 
       (212*s[76])/3 + (644*s[77])/3 + 32*s[78] - (8840*s[79])/3 + 
       (7213*s[80])/9 + s[81] - 4688*s[82] + 90*s[83] - 1284*s[84] - 
       1296*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - v]*((-861*s[2])/4 - (2819*s[3])/8 - 
       (170197*s[4])/16 - (669459*s[5])/88 - (3336605*s[6])/176 - 
       (186954719*s[7])/1056 + (22273693*s[8])/1584 + (1346363*s[9])/9 + 
       (431536*s[10])/9 + (205869529*s[11])/1056 + (28134889*s[12])/132 + 
       (134806379*s[13])/1056 + (22937245*s[14])/1056 + (7536291*s[15])/32 + 
       (9897007*s[16])/33 + (81229629*s[17])/352 + (3436933*s[18])/108 + 
       (12053561*s[19])/432 + (1678712033*s[20])/4752 + 
       (1212113239*s[21])/9504 - (886940471*s[22])/9504 - 
       (13192699*s[23])/66 - (464715437*s[24])/2376 + 
       (10602534005*s[25])/42768 - (5802919577*s[26])/42768 + (7*s[30])/2 - 
       64*s[31] + (35*s[32])/2 - (53*s[33])/2 + (129*s[34])/2 + 
       (309*s[35])/2 + (805*s[36])/2 - (3821*s[37])/12 - 6040*s[38] + 
       (96953*s[39])/4 - (109391*s[40])/4 + (86961*s[41])/4 - 
       (69065*s[42])/2 - (974715*s[43])/44 + (4128343*s[44])/176 - 
       (6867805*s[45])/264 + (52918633*s[46])/264 - (3626797*s[47])/528 - 
       (3069625*s[48])/528 + (54416587*s[49])/528 - (6860567*s[50])/44 - 
       (12454753*s[51])/528 - (9882419*s[52])/528 + (21214217*s[53])/198 + 
       (246677*s[54])/132 + (119938067*s[55])/176 + (279255143*s[56])/1584 - 
       (380121337*s[57])/2376 + (4368959347*s[58])/14256 - 
       (4433074033*s[59])/14256 - (5269476959*s[60])/3168 + 
       (11236952755*s[61])/128304 + (3*s[64])/2 + (3*s[65])/2 + 4*s[66] - 
       12*s[67] - 16*s[68] - 12*s[69] - 56*s[70] + (13*s[71])/2 - 47*s[72] - 
       13*s[73] + (411*s[74])/4 - (425*s[75])/4 + 109*s[76] + (149*s[77])/2 - 
       105*s[78] - 2124*s[79] + (2947*s[80])/6 - 5052*s[82] - 15*s[83] - 
       1026*s[84] - 1284*s[85]) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - w]*(62*s[2] - 989*s[3] - (49119*s[4])/4 - 
       (72704*s[5])/11 - (420941*s[6])/22 - (72587821*s[7])/396 + 
       (1579771*s[8])/99 + (2736517*s[9])/18 + (452731*s[10])/9 + 
       (8890579*s[11])/44 + (58689251*s[12])/264 + (104933401*s[13])/792 + 
       (1589735*s[14])/88 + (8790397*s[15])/36 + (247394557*s[16])/792 + 
       (94807639*s[17])/396 + (1107539*s[18])/36 + (590071*s[19])/18 + 
       (35789125*s[20])/99 + (297185555*s[21])/2376 - 
       (227124875*s[22])/2376 - (41206355*s[23])/198 - (61168552*s[24])/297 + 
       (5577070031*s[25])/21384 - (2951810639*s[26])/21384 + 6*s[28] + 
       60*s[29] - 31*s[30] + 50*s[31] + 19*s[32] - (323*s[33])/4 - 
       131*s[34] + 172*s[35] + (1292*s[36])/3 - 257*s[37] - 6477*s[38] + 
       (50865*s[39])/2 - (169579*s[40])/6 + (45127*s[41])/2 - 
       (429991*s[42])/12 - (1569737*s[43])/66 + (6558131*s[44])/264 - 
       (305678*s[45])/11 + (14159441*s[46])/66 - (5062249*s[47])/792 - 
       (5530981*s[48])/792 + (88724101*s[49])/792 - (11138531*s[50])/66 - 
       (19149359*s[51])/792 - (14892407*s[52])/792 + (46066985*s[53])/396 + 
       (174769*s[54])/33 + (65144141*s[55])/88 + (147123319*s[56])/792 - 
       (167870111*s[57])/1188 + (2269479437*s[58])/7128 - 
       (2331271781*s[59])/7128 - (8541640819*s[60])/4752 + 
       (2983167355*s[61])/32076 - 48*s[63] - 4*s[64] + 13*s[65] + 12*s[66] - 
       38*s[67] + 82*s[68] - 34*s[69] + 214*s[70] - 7*s[71] - 56*s[72] - 
       12*s[73] + 111*s[74] - 111*s[75] + 178*s[76] - 224*s[77] - 136*s[78] - 
       2004*s[79] + 500*s[80] - 6108*s[82] - 39*s[83] - 990*s[84] - 
       1272*s[85]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      (-76*s[2] - (1439*s[3])/2 - (17683*s[4])/2 - (64459*s[5])/11 - 
       (629799*s[6])/44 - (57087631*s[7])/396 + (2328031*s[8])/198 + 
       (4354081*s[9])/36 + (1479005*s[10])/36 + (41700697*s[11])/264 + 
       (45281653*s[12])/264 + (40357637*s[13])/396 + (1098763*s[14])/66 + 
       (3514061*s[15])/18 + (97389581*s[16])/396 + (151718975*s[17])/792 + 
       (1327181*s[18])/54 + (2776685*s[19])/108 + (171274189*s[20])/594 + 
       (10107401*s[21])/99 - (89873717*s[22])/1188 - (124932623*s[23])/792 - 
       (388314985*s[24])/2376 + (718154941*s[25])/3564 - 
       (387226003*s[26])/3564 - 11*s[30] + 14*s[31] + 54*s[32] + 
       (173*s[33])/4 - 97*s[34] - 70*s[35] + (791*s[36])/3 - (489*s[37])/2 - 
       4779*s[38] + (71931*s[39])/4 - (242501*s[40])/12 + (65051*s[41])/4 - 
       (150923*s[42])/6 - (2325559*s[43])/132 + (4721249*s[44])/264 - 
       (987583*s[45])/44 + (5402374*s[46])/33 - (2833423*s[47])/792 - 
       (4968325*s[48])/792 + (64967383*s[49])/792 - (8555717*s[50])/66 - 
       (14012027*s[51])/792 - (10494587*s[52])/792 + (8885837*s[53])/99 + 
       (357515*s[54])/66 + (50704283*s[55])/88 + (113770573*s[56])/792 - 
       (107092055*s[57])/1188 + (1709285027*s[58])/7128 - 
       (1757975027*s[59])/7128 - (6574313311*s[60])/4752 + 
       (2305561363*s[61])/32076 - 6*s[64] - 23*s[65] - 44*s[66] + 46*s[67] + 
       70*s[68] + 142*s[69] + 40*s[70] + 17*s[71] + 20*s[72] - 24*s[73] + 
       47*s[74] - 59*s[75] - 12*s[76] - 100*s[77] + 172*s[78] - 1428*s[79] + 
       243*s[80] - s[81] - 6108*s[82] - 39*s[83] - 990*s[84] - 1272*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      ((-535*s[2])/4 - (1799*s[3])/8 - 10352*s[4] - (1559375*s[5])/176 - 
       (3477425*s[6])/176 - (605408999*s[7])/3168 + (69261301*s[8])/4752 + 
       (17481887*s[9])/108 + (23703745*s[10])/432 + (659626513*s[11])/3168 + 
       (355279459*s[12])/1584 + (419003693*s[13])/3168 + 
       (94252933*s[14])/3168 + (74877193*s[15])/288 + (259252085*s[16])/792 + 
       (91662907*s[17])/352 + (22377587*s[18])/648 + (40451357*s[19])/1296 + 
       (5536250963*s[20])/14256 + (4008899809*s[21])/28512 - 
       (2867704835*s[22])/28512 - (79553405*s[23])/396 - 
       (1523205965*s[24])/7128 + (8398724861*s[25])/32076 - 
       (1165122248*s[26])/8019 + 6*s[28] + 12*s[29] + (103*s[30])/4 - 
       (137*s[31])/2 + (227*s[32])/4 - (1141*s[33])/16 + (203*s[34])/4 + 
       152*s[35] + (1397*s[36])/3 - (3587*s[37])/12 - (12171*s[38])/2 + 
       (197791*s[39])/8 - (662353*s[40])/24 + (175969*s[41])/8 - 
       (848063*s[42])/24 - (5878151*s[43])/264 + (12632899*s[44])/528 - 
       (3434087*s[45])/132 + (17927873*s[46])/88 - (10831697*s[47])/1584 - 
       (8182787*s[48])/1584 + (166987427*s[49])/1584 - (5312737*s[50])/33 - 
       (38413495*s[51])/1584 - (29344393*s[52])/1584 + (29320439*s[53])/264 + 
       (70259*s[54])/22 + (371207083*s[55])/528 + (280499473*s[56])/1584 - 
       (86573897*s[57])/594 + (4352062217*s[58])/14256 - 
       (4463131163*s[59])/14256 - (16145097797*s[60])/9504 + 
       (11334655775*s[61])/128304 - 45*s[63] + 5*s[64] + (17*s[65])/2 + 
       30*s[66] - (127*s[67])/2 + (137*s[68])/2 - 82*s[69] + 211*s[70] - 
       (29*s[71])/2 - 70*s[72] + 50*s[73] + (521*s[74])/4 - 119*s[75] + 
       (213*s[76])/2 - (419*s[77])/2 - 91*s[78] - 2276*s[79] + 
       (2045*s[80])/3 - 5091*s[82] - 21*s[83] - 1107*s[84] - 1164*s[85]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      ((-1057*s[2])/4 - (2983*s[3])/8 - (44557*s[4])/4 - (1526593*s[5])/176 - 
       (3608883*s[6])/176 - (608146763*s[7])/3168 + (71875391*s[8])/4752 + 
       (35028647*s[9])/216 + (22902779*s[10])/432 + (666317441*s[11])/3168 + 
       (360942437*s[12])/1584 + (144444043*s[13])/1056 + 
       (79626005*s[14])/3168 + (24770731*s[15])/96 + (28675833*s[16])/88 + 
       (806688151*s[17])/3168 + (11184275*s[18])/324 + 
       (39524857*s[19])/1296 + (5468209489*s[20])/14256 + 
       (3984412961*s[21])/28512 - (2880277711*s[22])/28512 - 
       (56793725*s[23])/264 - (376609759*s[24])/1782 + 
       (34186895323*s[25])/128304 - (18847106827*s[26])/128304 - 
       (67*s[30])/4 - (209*s[31])/2 + (281*s[32])/4 - (1145*s[33])/16 + 
       (493*s[34])/4 + 64*s[35] + (3331*s[36])/6 - (4747*s[37])/12 - 
       (13049*s[38])/2 + (52481*s[39])/2 - (174895*s[40])/6 + 
       (92115*s[41])/4 - (451177*s[42])/12 - (782542*s[43])/33 + 
       (3301423*s[44])/132 - (7152275*s[45])/264 + (56143501*s[46])/264 - 
       (757583*s[47])/99 - (862723*s[48])/198 + (21876229*s[49])/198 - 
       (5475034*s[50])/33 - (5032241*s[51])/198 - (7878487*s[52])/396 + 
       (90873425*s[53])/792 + (216229*s[54])/66 + (24031462*s[55])/33 + 
       (12202115*s[56])/66 - (1854698*s[57])/11 + (770907773*s[58])/2376 - 
       (98779666*s[59])/297 - (8364854803*s[60])/4752 + 
       (3896771201*s[61])/42768 + 9*s[62] + 3*s[64] + (17*s[65])/2 + 
       22*s[66] - 53*s[67] + (17*s[68])/2 - 26*s[69] + 61*s[70] - 
       (23*s[71])/2 - 116*s[72] + 151*s[73] + (267*s[74])/2 - (285*s[75])/2 + 
       55*s[76] - (97*s[77])/2 - 122*s[78] - 2092*s[79] + (2957*s[80])/6 - 
       s[81] - 5091*s[82] - 21*s[83] - 1107*s[84] - 1164*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((-494*s[2])/3 - (2639*s[3])/6 - (170729*s[4])/12 - (61907*s[5])/6 - 
       (77818*s[6])/3 - (25713493*s[7])/108 + (1962805*s[8])/108 + 
       (10923479*s[9])/54 + (6859679*s[10])/108 + (2106989*s[11])/8 + 
       (20810807*s[12])/72 + (9441601*s[13])/54 + (186761*s[14])/6 + 
       (33845015*s[15])/108 + (43287419*s[16])/108 + (65826881*s[17])/216 + 
       (4702607*s[18])/108 + (1291745*s[19])/36 + (25718995*s[20])/54 + 
       (14015992*s[21])/81 - (40850461*s[22])/324 - (57930221*s[23])/216 - 
       (170137883*s[24])/648 + (1946902835*s[25])/5832 - 
       (1071238367*s[26])/5832 - 6*s[28] - 48*s[29] + (32*s[30])/3 - 
       (344*s[31])/3 + (139*s[32])/3 - (98*s[33])/3 + (268*s[34])/3 + 
       (292*s[35])/3 + (3637*s[36])/9 - (1219*s[37])/2 - (26807*s[38])/3 + 
       (395495*s[39])/12 - (1349473*s[40])/36 + (117037*s[41])/4 - 
       (422093*s[42])/9 - (1074217*s[43])/36 + (2265185*s[44])/72 - 
       (391331*s[45])/12 + (4627901*s[46])/18 - (2134603*s[47])/216 - 
       (1600069*s[48])/216 + (29281315*s[49])/216 - (3559673*s[50])/18 - 
       (7120235*s[51])/216 - (5752079*s[52])/216 + (3592274*s[53])/27 - 
       (6235*s[54])/18 + (61363489*s[55])/72 + (48583393*s[56])/216 - 
       (80725799*s[57])/324 + (790765511*s[58])/1944 - 
       (793172219*s[59])/1944 - (2762541451*s[60])/1296 + 
       (238719874*s[61])/2187 + 24*s[63] - 2*s[64] - (67*s[65])/3 - 
       (112*s[66])/3 + (74*s[67])/3 - (238*s[68])/3 + (398*s[69])/3 - 
       (1144*s[70])/3 + (133*s[71])/3 - (56*s[72])/3 - (188*s[73])/3 + 
       (310*s[74])/3 - (334*s[75])/3 - 10*s[76] + (1060*s[77])/3 + 
       (272*s[78])/3 - 3716*s[79] + (2725*s[80])/3 - 4016*s[82] + 139*s[83] - 
       1614*s[84] - 1136*s[85]) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*((-659*s[2])/3 - 384*s[3] - 15003*s[4] - 
       (660871*s[5])/66 - (3549673*s[6])/132 - (285170549*s[7])/1188 + 
       (68395183*s[8])/3564 + (65712401*s[9])/324 + (5065009*s[10])/81 + 
       (316239251*s[11])/1188 + (697354265*s[12])/2376 + 
       (140940451*s[13])/792 + (68453401*s[14])/2376 + (2822921*s[15])/9 + 
       (319611257*s[16])/792 + (180849281*s[17])/594 + (20973179*s[18])/486 + 
       (8816960*s[19])/243 + (2544364213*s[20])/5346 + 
       (3661330411*s[21])/21384 - (2709825839*s[22])/21384 - 
       (109044019*s[23])/396 - (2824406443*s[24])/10692 + 
       (8174240579*s[25])/24057 - (8908195603*s[26])/48114 - (20*s[30])/3 - 
       (200*s[31])/3 - (124*s[32])/3 - (191*s[33])/6 + (224*s[34])/3 + 
       (374*s[35])/3 + (4900*s[36])/9 - (6224*s[37])/9 - (27004*s[38])/3 + 
       (104551*s[39])/3 - (354505*s[40])/9 + (92264*s[41])/3 - 
       (1798031*s[42])/36 - (3074510*s[43])/99 + (26205637*s[44])/792 - 
       (6500431*s[45])/198 + (52609541*s[46])/198 - (26252339*s[47])/2376 - 
       (15255947*s[48])/2376 + (336373607*s[49])/2376 - 
       (40340263*s[50])/198 - (81702721*s[51])/2376 - (66294733*s[52])/2376 + 
       (163845557*s[53])/1188 - (201284*s[54])/99 + (694883569*s[55])/792 + 
       (183986447*s[56])/792 - (315433037*s[57])/1188 + 
       (333513361*s[58])/792 - (1006258955*s[59])/2376 - 
       (31259326061*s[60])/14256 + (3605887235*s[61])/32076 - 36*s[62] + 
       (5*s[65])/3 + (20*s[66])/3 - (70*s[67])/3 - (274*s[68])/3 + 
       (50*s[69])/3 - (712*s[70])/3 + (43*s[71])/3 - (220*s[72])/3 + 
       128*s[73] + 132*s[74] - 112*s[75] + (338*s[76])/3 + (638*s[77])/3 - 
       (340*s[78])/3 - (11372*s[79])/3 + (8912*s[80])/9 + s[81] - 
       4016*s[82] + 139*s[83] - 1614*s[84] - 1136*s[85]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u]*((-1811*s[2])/12 - 
       (4085*s[3])/8 - (206019*s[4])/16 - (207527*s[5])/24 - 
       (1119731*s[6])/48 - (179210387*s[7])/864 + (21683645*s[8])/1296 + 
       (56743625*s[9])/324 + (8783135*s[10])/162 + (198449717*s[11])/864 + 
       (54643129*s[12])/216 + (14699203*s[13])/96 + (21652373*s[14])/864 + 
       (78188885*s[15])/288 + (25094267*s[16])/72 + (227713291*s[17])/864 + 
       (9209104*s[18])/243 + (119767499*s[19])/3888 + 
       (1601049805*s[20])/3888 + (1158674567*s[21])/7776 - 
       (850362799*s[22])/7776 - (2890177*s[23])/12 - (441426949*s[24])/1944 + 
       (10238798569*s[25])/34992 - (5604422269*s[26])/34992 - 6*s[28] - 
       (151*s[30])/6 - (128*s[31])/3 + (97*s[32])/6 - (34*s[33])/3 + 
       (259*s[34])/6 + (727*s[35])/6 + (7709*s[36])/18 - (18119*s[37])/36 - 
       (46517*s[38])/6 + (354253*s[39])/12 - (1204849*s[40])/36 + 
       (78539*s[41])/3 - (759919*s[42])/18 - (10631057*s[43])/396 + 
       (44537135*s[44])/1584 - (23473129*s[45])/792 + (184394129*s[46])/792 - 
       (43328317*s[47])/4752 - (29000113*s[48])/4752 + 
       (575622979*s[49])/4752 - (17643608*s[50])/99 - 
       (139847957*s[51])/4752 - (112703243*s[52])/4752 + 
       (144164963*s[53])/1188 - (386923*s[54])/198 + (1227671003*s[55])/
        1584 + (325964567*s[56])/1584 - (174529639*s[57])/792 + 
       (5229420203*s[58])/14256 - (5262143009*s[59])/14256 - 
       (54740409091*s[60])/28512 + (12819848617*s[61])/128304 + 74*s[63] - 
       2*s[64] - (25*s[65])/3 - (16*s[66])/3 - (13*s[67])/3 - (274*s[68])/3 + 
       (41*s[69])/3 - (1108*s[70])/3 + (91*s[71])/3 - (199*s[72])/3 + 
       15*s[73] + (431*s[74])/4 - (463*s[75])/4 + (62*s[76])/3 + 
       (2353*s[77])/6 - (223*s[78])/3 - (9068*s[79])/3 + (12559*s[80])/18 - 
       3614*s[82] + 70*s[83] - 1302*s[84] - 1112*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      ((-617*s[2])/3 - (2743*s[3])/12 - (275803*s[4])/24 - (543709*s[5])/66 - 
       (5629663*s[6])/264 - (911323883*s[7])/4752 + (36027757*s[8])/2376 + 
       (17538553*s[9])/108 + (2731249*s[10])/54 + (111837541*s[11])/528 + 
       (184520089*s[12])/792 + (664770577*s[13])/4752 + (4522541*s[14])/176 + 
       (108667313*s[15])/432 + (766783619*s[16])/2376 + 
       (1165934615*s[17])/4752 + (1911335*s[18])/54 + (6049109*s[19])/216 + 
       (911706889*s[20])/2376 + (1975838279*s[21])/14256 - 
       (1443184547*s[22])/14256 - (64616765*s[23])/297 - 
       (750294305*s[24])/3564 + (17249053663*s[25])/64152 - 
       (9479784097*s[26])/64152 + (26*s[30])/3 - (140*s[31])/3 - 
       (92*s[32])/3 + (95*s[33])/6 + (64*s[34])/3 + (226*s[35])/3 + 
       (3379*s[36])/9 - (6265*s[37])/12 - (42223*s[38])/6 + 
       (323495*s[39])/12 - (1103461*s[40])/36 + 24086*s[41] - 
       (1388777*s[42])/36 - (9626531*s[43])/396 + (20385367*s[44])/792 - 
       (7188421*s[45])/264 + (169354195*s[46])/792 - (19897343*s[47])/2376 - 
       (13884809*s[48])/2376 + (262134599*s[49])/2376 - 
       (32550685*s[50])/198 - (64416445*s[51])/2376 - (51660505*s[52])/2376 + 
       (265484861*s[53])/2376 - (1100989*s[54])/396 + (564899387*s[55])/792 + 
       (451870667*s[56])/2376 - (707306815*s[57])/3564 + 
       (897086603*s[58])/2673 - (7200888055*s[59])/21384 - 
       (12598708981*s[60])/7128 + (35632675499*s[61])/384912 - (53*s[62])/2 - 
       (25*s[65])/3 - (28*s[66])/3 - (16*s[67])/3 - (166*s[68])/3 + 
       (53*s[69])/3 - (670*s[70])/3 + (167*s[71])/6 - (68*s[72])/3 + 
       (148*s[73])/3 + (593*s[74])/6 - (262*s[75])/3 + 76*s[76] + 
       (601*s[77])/3 + (2*s[78])/3 - 3052*s[79] + (4651*s[80])/6 + s[81] - 
       3614*s[82] + 70*s[83] - 1302*s[84] - 1112*s[85]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((-971*s[2])/4 - (6307*s[3])/24 - (180597*s[4])/16 - (585061*s[5])/66 - 
       (11571025*s[6])/528 - (621589895*s[7])/3168 + (215054315*s[8])/14256 + 
       (54068995*s[9])/324 + (33940465*s[10])/648 + (2053422251*s[11])/9504 + 
       (560863771*s[12])/2376 + (1351659557*s[13])/9504 + 
       (270837959*s[14])/9504 + (223923307*s[15])/864 + 
       (196302917*s[16])/594 + (2410242365*s[17])/9504 + 
       (36108161*s[18])/972 + (107199811*s[19])/3888 + 
       (16890534823*s[20])/42768 + (12396775385*s[21])/85536 - 
       (8874554341*s[22])/85536 - (131321761*s[23])/594 - 
       (4578285265*s[24])/21384 + (104914592575*s[25])/384912 - 
       (58466684095*s[26])/384912 - 18*s[28] - 24*s[29] - (22*s[30])/3 - 
       (359*s[31])/3 + (73*s[32])/2 - (1591*s[33])/24 + 126*s[34] + 
       (707*s[35])/6 + (6149*s[36])/18 - (5569*s[37])/12 - (41707*s[38])/6 + 
       (322231*s[39])/12 - (1098403*s[40])/36 + (47819*s[41])/2 - 
       (1387775*s[42])/36 - (9611771*s[43])/396 + (40502591*s[44])/1584 - 
       (7162415*s[45])/264 + (168473545*s[46])/792 - (40116301*s[47])/4752 - 
       (24719689*s[48])/4752 + (520110991*s[49])/4752 - 
       (32252917*s[50])/198 - (128026193*s[51])/4752 - 
       (102788435*s[52])/4752 + (132072637*s[53])/1188 - (248242*s[54])/99 + 
       (374846677*s[55])/528 + (899267569*s[56])/4752 - 
       (1435110635*s[57])/7128 + (14335198025*s[58])/42768 - 
       (14411677019*s[59])/42768 - (49926560263*s[60])/28512 + 
       (35280602231*s[61])/384912 + 60*s[63] + 2*s[64] - (25*s[65])/3 - 
       (40*s[66])/3 + (67*s[67])/3 - (194*s[68])/3 + (118*s[69])/3 - 
       (908*s[70])/3 + (91*s[71])/3 - (179*s[72])/3 - (95*s[73])/3 + 
       (411*s[74])/4 - (443*s[75])/4 + (206*s[76])/3 + (2117*s[77])/6 - 
       (203*s[78])/3 - 2868*s[79] + (3781*s[80])/6 - 3290*s[82] + 70*s[83] - 
       1262*s[84] - 1032*s[85]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*((-1111*s[2])/4 - (3601*s[3])/24 - 
       (176299*s[4])/16 - (559129*s[5])/66 - (11321815*s[6])/528 - 
       (201345383*s[7])/1056 + (213612929*s[8])/14256 + (26235401*s[9])/162 + 
       (32745895*s[10])/648 + (1995509645*s[11])/9504 + 
       (546267319*s[12])/2376 + (1310156027*s[13])/9504 + 
       (260304089*s[14])/9504 + (216943801*s[15])/864 + 
       (763006577*s[16])/2376 + (2336606483*s[17])/9504 + 
       (17520475*s[18])/486 + (102526849*s[19])/3888 + 
       (16381547653*s[20])/42768 + (11969951231*s[21])/85536 - 
       (8621673763*s[22])/85536 - (513565537*s[23])/2376 - 
       (555051314*s[24])/2673 + (102119106427*s[25])/384912 - 
       (56761370791*s[26])/384912 - (127*s[30])/3 - (275*s[31])/3 + 
       (57*s[32])/2 - (1135*s[33])/24 + 118*s[34] + (797*s[35])/6 + 
       (3616*s[36])/9 - (2141*s[37])/4 - (20168*s[38])/3 + 
       (640907*s[39])/24 - (2180825*s[40])/72 + (189885*s[41])/8 - 
       (2774755*s[42])/72 - (18761191*s[43])/792 + (20050183*s[44])/792 - 
       (2313293*s[45])/88 + (20699633*s[46])/99 - (20540837*s[47])/2376 - 
       (1335925*s[48])/297 + (255550751*s[49])/2376 - (15887030*s[50])/99 - 
       (31824767*s[51])/1188 - (12760519*s[52])/594 + 
       (260479151*s[53])/2376 - (1477141*s[54])/396 + (15335425*s[55])/22 + 
       (443966531*s[56])/2376 - (1432653425*s[57])/7128 + 
       (3523830287*s[58])/10692 - (885558725*s[59])/2673 - 
       (3061786435*s[60])/1782 + (2179478150*s[61])/24057 - 24*s[62] + 
       (11*s[65])/3 + (44*s[66])/3 - (23*s[67])/3 - (158*s[68])/3 - 
       (2*s[69])/3 - (482*s[70])/3 + (95*s[71])/6 - (203*s[72])/3 + 
       (211*s[73])/3 + (437*s[74])/4 - (391*s[75])/4 + (452*s[76])/3 + 
       (1145*s[77])/6 - (269*s[78])/3 - 2984*s[79] + (4595*s[80])/6 + s[81] - 
       3290*s[82] + 70*s[83] - 1262*s[84] - 1032*s[85]) + 
     HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - v]*((-109*s[2])/2 - (5817*s[3])/4 - 
       (90227*s[4])/8 - (239607*s[5])/44 - (1550663*s[6])/88 - 
       (78844109*s[7])/528 + (32735365*s[8])/2376 + (3355048*s[9])/27 + 
       (1864267*s[10])/54 + (263582881*s[11])/1584 + (37033153*s[12])/198 + 
       (182168443*s[13])/1584 + (17160733*s[14])/1584 + 
       (27400769*s[15])/144 + (24265117*s[16])/99 + (280153591*s[17])/1584 + 
       (2347037*s[18])/81 + (12130445*s[19])/648 + (2044999349*s[20])/7128 + 
       (1463106199*s[21])/14256 - (1106172071*s[22])/14256 - 
       (40871257*s[23])/198 - (557248685*s[24])/3564 + 
       (13854769457*s[25])/64152 - (7451533337*s[26])/64152 + 3*s[30] + 
       8*s[31] - 91*s[32] - (43*s[33])/2 - 45*s[34] + 69*s[35] + 81*s[36] - 
       (2525*s[37])/6 - 7559*s[38] + 25196*s[39] - 28273*s[40] + 
       (44201*s[41])/2 - 35290*s[42] - (254488*s[43])/11 + 
       (1998019*s[44])/88 - (3323629*s[45])/132 + (25258015*s[46])/132 - 
       (706043*s[47])/88 - (333891*s[48])/88 + (8647201*s[49])/88 - 
       (1594577*s[50])/11 - (6638057*s[51])/264 - (1874841*s[52])/88 + 
       (9787754*s[53])/99 - (214391*s[54])/33 + (56413339*s[55])/88 + 
       (136387799*s[56])/792 - (231469225*s[57])/1188 + 
       (2200068415*s[58])/7128 - (2225109565*s[59])/7128 - 
       (2485539871*s[60])/1584 + (5284809997*s[61])/64152 - 4*s[64] - 
       48*s[65] - 64*s[66] + 96*s[67] + 74*s[68] + 174*s[69] - 120*s[70] + 
       120*s[71] + 14*s[72] - 46*s[73] + (21*s[74])/2 - (67*s[75])/2 + 
       22*s[76] + 45*s[77] + 150*s[78] - 2524*s[79] + (811*s[80])/3 + 
       3288*s[82] + 111*s[83] - 1002*s[84] - 768*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((-191*s[2])/3 - (437*s[3])/2 - (9350*s[4])/3 - (672245*s[5])/264 - 
       (408835*s[6])/66 - (44807375*s[7])/792 + (2578691*s[8])/594 + 
       (1289930*s[9])/27 + (3489431*s[10])/216 + (98291933*s[11])/1584 + 
       (106384075*s[12])/1584 + (31568513*s[13])/792 + (862952*s[14])/99 + 
       (2738891*s[15])/36 + (38345557*s[16])/396 + (40202077*s[17])/528 + 
       (6652907*s[18])/648 + (744446*s[19])/81 + (818414929*s[20])/7128 + 
       (296882797*s[21])/7128 - (212063429*s[22])/7128 - 
       (94263869*s[23])/1584 - (905488291*s[24])/14256 + 
       (2505845723*s[25])/32076 - (1388240951*s[26])/32076 - (11*s[30])/3 - 
       (38*s[31])/3 - (11*s[32])/3 + (7*s[33])/2 - 8*s[34] + (116*s[35])/3 + 
       97*s[36] - 56*s[37] - 1738*s[38] + (170501*s[39])/24 - 
       (193613*s[40])/24 + (154207*s[41])/24 - (241777*s[42])/24 - 
       (1770559*s[43])/264 + (3782855*s[44])/528 - (2206277*s[45])/264 + 
       (2069341*s[46])/33 - (882203*s[47])/528 - (1255565*s[48])/528 + 
       (16737631*s[49])/528 - (1621265*s[50])/33 - (1227021*s[51])/176 - 
       (2760911*s[52])/528 + (3348701*s[53])/99 + (64481*s[54])/44 + 
       (38017051*s[55])/176 + (88134307*s[56])/1584 - (50077141*s[57])/1188 + 
       (1335077291*s[58])/14256 - (1357609331*s[59])/14256 - 
       (1661717647*s[60])/3168 + (448750327*s[61])/16038 - 30*s[70] - 
       4*s[71] - 20*s[72] + 6*s[73] + (88*s[74])/3 - (91*s[75])/3 + 
       (68*s[76])/3 + (116*s[77])/3 - 20*s[78] - 582*s[79] + 182*s[80] - 
       2790*s[82] - (15*s[83])/2 - 327*s[84] - 612*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((-737*s[2])/12 - (2141*s[3])/8 - (157925*s[4])/48 - (176057*s[5])/66 - 
       (3541925*s[6])/528 - (63609937*s[7])/1056 + (21370465*s[8])/4752 + 
       (5478947*s[9])/108 + (3785141*s[10])/216 + (208730227*s[11])/3168 + 
       (112551463*s[12])/1584 + (133692703*s[13])/3168 + 
       (32249605*s[14])/3168 + (23406929*s[15])/288 + (40955771*s[16])/396 + 
       (260049037*s[17])/3168 + (7050467*s[18])/648 + (12922757*s[19])/1296 + 
       (1751693531*s[20])/14256 + (1270716523*s[21])/28512 - 
       (901151699*s[22])/28512 - (96316765*s[23])/1584 - 
       (970399237*s[24])/14256 + (10609248575*s[25])/128304 - 
       (5905165223*s[26])/128304 + 5*s[29] + (35*s[30])/6 - (23*s[31])/3 - 
       (5*s[32])/3 + s[33]/2 - (49*s[34])/2 + (199*s[35])/6 + (601*s[36])/6 - 
       (215*s[37])/12 - 1785*s[38] + (174539*s[39])/24 - (66717*s[40])/8 + 
       (160633*s[41])/24 - (82283*s[42])/8 - (617467*s[43])/88 + 
       (657131*s[44])/88 - (193043*s[45])/22 + (17285639*s[46])/264 - 
       (1270105*s[47])/792 - (1135085*s[48])/396 + (6560893*s[49])/198 - 
       (2264761*s[50])/44 - (5574287*s[51])/792 - (2131501*s[52])/396 + 
       (7003417*s[53])/198 + (17757*s[54])/11 + (7478969*s[55])/33 + 
       (11486683*s[56])/198 - (96359167*s[57])/2376 + 
       (345283879*s[58])/3564 - (702911951*s[59])/7128 - 
       (1307966399*s[60])/2376 + (3747434821*s[61])/128304 + 2*s[64] + 
       (3*s[65])/2 - 3*s[66] - 2*s[67] + 8*s[68] - 11*s[69] - 33*s[70] - 
       (3*s[71])/2 - 9*s[72] - 5*s[73] + (349*s[74])/12 - (313*s[75])/12 + 
       (23*s[76])/3 + (307*s[77])/6 + 5*s[78] - 680*s[79] + (1303*s[80])/6 - 
       2790*s[82] - (15*s[83])/2 - 327*s[84] - 612*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((-357*s[2])/4 - (1185*s[3])/8 - (230629*s[4])/48 - (869867*s[5])/264 - 
       (4668229*s[6])/528 - (761732381*s[7])/9504 + (90238963*s[8])/14256 + 
       (10973959*s[9])/162 + (3523025*s[10])/162 + (839388763*s[11])/9504 + 
       (114934117*s[12])/1188 + (554715977*s[13])/9504 + 
       (99546079*s[14])/9504 + (91379107*s[15])/864 + 
       (160826917*s[16])/1188 + (36472863*s[17])/352 + (14054617*s[18])/972 + 
       (47580947*s[19])/3888 + (6839880827*s[20])/42768 + 
       (4919702269*s[21])/85536 - (3618944741*s[22])/85536 - 
       (106880183*s[23])/1188 - (1892824433*s[24])/21384 + 
       (43229425397*s[25])/384912 - (23633755565*s[26])/384912 - 24*s[29] + 
       (5*s[30])/2 - (116*s[31])/3 + (21*s[32])/2 + (9*s[33])/2 - 
       (11*s[34])/6 + (109*s[35])/6 + (265*s[36])/2 - (1291*s[37])/9 - 
       (8147*s[38])/3 + (64121*s[39])/6 - (36817*s[40])/3 + (29120*s[41])/3 - 
       (61265*s[42])/4 - (217097*s[43])/22 + (5538325*s[44])/528 - 
       (4488325*s[45])/396 + (34853611*s[46])/396 - (1563031*s[47])/528 - 
       (1578871*s[48])/528 + (7953151*s[49])/176 - (3000837*s[50])/44 - 
       (16752601*s[51])/1584 - (4470335*s[52])/528 + (110054101*s[53])/2376 - 
       (35675*s[54])/396 + (469574909*s[55])/1584 + (372010351*s[56])/4752 - 
       (535580351*s[57])/7128 + (5825678513*s[58])/42768 - 
       (5862222473*s[59])/42768 - (6958416917*s[60])/9504 + 
       (3684476261*s[61])/96228 - 10*s[62] - (7*s[65])/2 - 8*s[66] + 
       8*s[67] - 3*s[68] + 15*s[69] - (197*s[70])/3 + 10*s[71] - 17*s[72] + 
       13*s[73] + (149*s[74])/4 - (129*s[75])/4 + (107*s[76])/3 + 
       (445*s[77])/6 + 3*s[78] - (3952*s[79])/3 + (3166*s[80])/9 + s[81]/3 - 
       2210*s[82] + 36*s[83] - 588*s[84] - 584*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      ((-123*s[2])/2 - 85*s[3] - (41267*s[4])/8 - (39398*s[5])/11 - 
       (828175*s[6])/88 - (68515811*s[7])/792 + (16082503*s[8])/2376 + 
       (15849737*s[9])/216 + (2521031*s[10])/108 + (75711641*s[11])/792 + 
       (20769163*s[12])/198 + (16715401*s[13])/264 + (1118329*s[14])/99 + 
       (455669*s[15])/4 + (12839353*s[16])/88 + (43967387*s[17])/396 + 
       (10135093*s[18])/648 + (2132759*s[19])/162 + (617022457*s[20])/3564 + 
       (111422573*s[21])/1782 - (81649045*s[22])/1782 - 
       (25516259*s[23])/264 - (681660829*s[24])/7128 + 
       (15561019681*s[25])/128304 - (8533812121*s[26])/128304 - 2*s[28] - 
       8*s[29] + s[30]/2 - 29*s[31] + (41*s[32])/2 - (99*s[33])/8 + 
       (27*s[34])/2 + 21*s[35] + (403*s[36])/3 - (454*s[37])/3 - 3100*s[38] + 
       11782*s[39] - (40537*s[40])/3 + 10640*s[41] - (100957*s[42])/6 - 
       (720103*s[43])/66 + (1521035*s[44])/132 - (1629037*s[45])/132 + 
       (4221681*s[46])/44 - (1266901*s[47])/396 - (1302211*s[48])/396 + 
       (19716625*s[49])/396 - (2451272*s[50])/33 - (4622093*s[51])/396 - 
       (3695447*s[52])/396 + (6628097*s[53])/132 + (11119*s[54])/22 + 
       (42528845*s[55])/132 + (33516623*s[56])/396 - (50466061*s[57])/594 + 
       (133245502*s[58])/891 - (536720977*s[59])/3564 - 
       (237170102*s[60])/297 + (2648348531*s[61])/64152 + 12*s[63] - 
       8*s[65] - 16*s[66] + 18*s[67] - 7*s[68] + 37*s[69] - 112*s[70] + 
       17*s[71] - 16*s[72] - 24*s[73] + 37*s[74] - 41*s[75] + 14*s[76] + 
       130*s[77] + 16*s[78] - 1420*s[79] + (1024*s[80])/3 - 2176*s[82] + 
       45*s[83] - 618*s[84] - 572*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1}, 1 - w]*((-383*s[2])/4 - (15*s[3])/8 - 
       (76903*s[4])/16 - (297461*s[5])/88 - (1571567*s[6])/176 - 
       (85856051*s[7])/1056 + (30277517*s[8])/4752 + (14889797*s[9])/216 + 
       (1179475*s[10])/54 + (284514287*s[11])/3168 + (78144067*s[12])/792 + 
       (188157905*s[13])/3168 + (34930019*s[14])/3168 + 
       (30708643*s[15])/288 + (13571401*s[16])/99 + (330212933*s[17])/3168 + 
       (9521479*s[18])/648 + (15786643*s[19])/1296 + (2321619415*s[20])/
        14256 + (1670863985*s[21])/28512 - (1227750433*s[22])/28512 - 
       (71270851*s[23])/792 - (80106434*s[24])/891 + (7311500879*s[25])/
        64152 - (4006161275*s[26])/64152 + 5*s[30] - 23*s[31] + 6*s[32] - 
       (19*s[33])/8 + 10*s[34] + (31*s[35])/2 + (281*s[36])/2 - 
       (941*s[37])/6 - (5707*s[38])/2 + (22375*s[39])/2 - 12836*s[40] + 
       (40555*s[41])/4 - (32065*s[42])/2 - (112987*s[43])/11 + 
       (1927347*s[44])/176 - (766481*s[45])/66 + (3001780*s[46])/33 - 
       (1647599*s[47])/528 - (1613807*s[48])/528 + (24858341*s[49])/528 - 
       (774467*s[50])/11 - (1943949*s[51])/176 - (4680523*s[52])/528 + 
       (37766917*s[53])/792 - (10993*s[54])/66 + (161114023*s[55])/528 + 
       (127796485*s[56])/1584 - (190800107*s[57])/2376 + 
       (2017192883*s[58])/14256 - (2028454691*s[59])/14256 - 
       (2396359387*s[60])/3168 + (2523367417*s[61])/64152 - 11*s[62] - 
       4*s[65] - 8*s[66] + 8*s[67] - 4*s[68] + 18*s[69] - 64*s[70] + 
       (21*s[71])/2 - 13*s[72] + 17*s[73] + (161*s[74])/4 - (133*s[75])/4 + 
       37*s[76] + (143*s[77])/2 + 3*s[78] - 1396*s[79] + (1102*s[80])/3 + 
       s[81]/3 - 2176*s[82] + 45*s[83] - 618*s[84] - 572*s[85]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      (-161*s[2] - (824*s[3])/3 - (56559*s[4])/16 - (1762121*s[5])/528 - 
       (2083745*s[6])/264 - (8962363*s[7])/132 + (34567657*s[8])/7128 + 
       (9354323*s[9])/162 + (24486023*s[10])/1296 + (352794553*s[11])/4752 + 
       (380359685*s[12])/4752 + (113444675*s[13])/2376 + 
       (58902499*s[14])/4752 + (4921501*s[15])/54 + (548789809*s[16])/4752 + 
       (433213201*s[17])/4752 + (25822729*s[18])/1944 + 
       (18231581*s[19])/1944 + (2977650035*s[20])/21384 + 
       (1112589497*s[21])/21384 - (1529214317*s[22])/42768 - 
       (344680133*s[23])/4752 - (3192259493*s[24])/42768 + 
       (35557077745*s[25])/384912 - (20317444885*s[26])/384912 - 6*s[28] - 
       11*s[29] + (47*s[30])/12 - (289*s[31])/6 - (15*s[32])/4 - 
       (911*s[33])/48 + (149*s[34])/4 + (287*s[35])/6 + (2057*s[36])/18 - 
       (743*s[37])/6 - (6545*s[38])/3 + (205967*s[39])/24 - 
       (708101*s[40])/72 + (61947*s[41])/8 - (885601*s[42])/72 - 
       (6202123*s[43])/792 + (13184813*s[44])/1584 - (2460269*s[45])/264 + 
       (28047035*s[46])/396 - (12256483*s[47])/4752 - (9596221*s[48])/4752 + 
       (168166033*s[49])/4752 - (21527939*s[50])/396 - 
       (41283989*s[51])/4752 - (32638739*s[52])/4752 + (22218791*s[53])/594 - 
       (433795*s[54])/396 + (42137351*s[55])/176 + (305748895*s[56])/4752 - 
       (441745943*s[57])/7128 + (4724910143*s[58])/42768 - 
       (4753523375*s[59])/42768 - (16631390461*s[60])/28512 + 
       (6054822121*s[61])/192456 + 17*s[63] + s[64] - (23*s[65])/6 - 
       (25*s[66])/3 + (59*s[67])/6 - (199*s[68])/6 + (43*s[69])/3 - 
       (353*s[70])/3 + (71*s[71])/6 - (23*s[72])/3 + s[73]/3 + (65*s[74])/2 - 
       (127*s[75])/4 + (85*s[76])/6 + (424*s[77])/3 + (16*s[78])/3 - 
       846*s[79] + (1021*s[80])/6 - 1322*s[82] + 10*s[83] - 389*s[84] - 
       504*s[85]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((-423*s[2])/4 - (5623*s[3])/24 - (33785*s[4])/8 - (1750589*s[5])/528 - 
       (4524313*s[6])/528 - (230058935*s[7])/3168 + (81747431*s[8])/14256 + 
       (39844379*s[9])/648 + (24680309*s[10])/1296 + (759828977*s[11])/9504 + 
       (415229315*s[12])/4752 + (498420893*s[13])/9504 + 
       (101219369*s[14])/9504 + (82777423*s[15])/864 + 
       (581759881*s[16])/4752 + (896407607*s[17])/9504 + 
       (6876931*s[18])/486 + (37691605*s[19])/3888 + (6233272159*s[20])/
        42768 + (4601503541*s[21])/85536 - (3264211975*s[22])/85536 - 
       (398265347*s[23])/4752 - (3347881277*s[24])/42768 + 
       (38817142513*s[25])/384912 - (21761892925*s[26])/384912 - 
       (325*s[30])/12 - (235*s[31])/6 - (71*s[32])/4 - (1463*s[33])/48 + 
       (229*s[34])/4 + (388*s[35])/3 + (1261*s[36])/9 - (305*s[37])/3 - 
       (7850*s[38])/3 + (247733*s[39])/24 - (831083*s[40])/72 + 
       (72453*s[41])/8 - (1063849*s[42])/72 - (7244497*s[43])/792 + 
       (949946*s[44])/99 - (342917*s[45])/33 + (64427287*s[46])/792 - 
       (4114669*s[47])/1188 - (3631415*s[48])/2376 + (12266599*s[49])/297 - 
       (6137075*s[50])/99 - (24470881*s[51])/2376 - (19638415*s[52])/2376 + 
       (50811913*s[53])/1188 - (141067*s[54])/99 + (11958025*s[55])/44 + 
       (21710416*s[56])/297 - (275013139*s[57])/3564 + 
       (2739529063*s[58])/21384 - (1378128533*s[59])/10692 - 
       (4732426687*s[60])/7128 + (13768677227*s[61])/384912 - s[64] + 
       (2*s[65])/3 + (20*s[66])/3 - (14*s[67])/3 - (223*s[68])/6 - 
       (8*s[69])/3 - (185*s[70])/3 + (40*s[71])/3 - (116*s[72])/3 + 
       (37*s[73])/3 + (87*s[74])/2 - (95*s[75])/2 + (239*s[76])/3 + 
       (467*s[77])/6 - (302*s[78])/3 - 864*s[79] + 147*s[80] + s[81]/3 - 
       1322*s[82] + 10*s[83] - 389*s[84] - 504*s[85]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((-371*s[2])/4 - (11233*s[3])/24 - (91049*s[4])/16 - 
       (1035373*s[5])/264 - (5391259*s[6])/528 - (94797509*s[7])/1056 + 
       (107113667*s[8])/14256 + (48958487*s[9])/648 + (14785489*s[10])/648 + 
       (941079209*s[11])/9504 + (259086511*s[12])/2376 + 
       (625451279*s[13])/9504 + (100362125*s[14])/9504 + 
       (101873359*s[15])/864 + (713730955*s[16])/4752 + 
       (1080292907*s[17])/9504 + (33812335*s[18])/1944 + 
       (46930909*s[19])/3888 + (7597890871*s[20])/42768 + 
       (5552915399*s[21])/85536 - (4021270027*s[22])/85536 - 
       (525734969*s[23])/4752 - (4109816171*s[24])/42768 + 
       (3034817536*s[25])/24057 - (6702486973*s[26])/96228 - (95*s[30])/6 - 
       (92*s[31])/3 - 26*s[32] - (68*s[33])/3 + (83*s[34])/2 + 
       (401*s[35])/6 + (1558*s[36])/9 - (622*s[37])/3 - (10985*s[38])/3 + 
       (322955*s[39])/24 - (1080401*s[40])/72 + (94089*s[41])/8 - 
       (1375105*s[42])/72 - (9613567*s[43])/792 + (19675421*s[44])/1584 - 
       (1809787*s[45])/132 + (83718295*s[46])/792 - (20029111*s[47])/4752 - 
       (10033741*s[48])/4752 + (256251169*s[49])/4752 - 
       (31974983*s[50])/396 - (62897297*s[51])/4752 - (51724199*s[52])/4752 + 
       (132472061*s[53])/2376 - (428093*s[54])/198 + (188399147*s[55])/528 + 
       (450609631*s[56])/4752 - (693171335*s[57])/7128 + 
       (7115356031*s[58])/42768 - (7215120257*s[59])/42768 - 
       (24695983231*s[60])/28512 + (17757348287*s[61])/384912 - (3*s[64])/2 - 
       (29*s[65])/6 - (31*s[66])/3 + (67*s[67])/3 + (16*s[68])/3 + 
       (118*s[69])/3 - (146*s[70])/3 + (155*s[71])/6 - (77*s[72])/3 - 
       (53*s[73])/3 + (163*s[74])/4 - (185*s[75])/4 + (164*s[76])/3 + 
       (269*s[77])/6 - (89*s[78])/3 - 1094*s[79] + (506*s[80])/3 - 
       278*s[82] + 4*s[83] - 482*s[84] - 480*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      ((-177*s[2])/2 - (397*s[3])/2 - (53247*s[4])/8 - (420093*s[5])/88 - 
       (529501*s[6])/44 - (3639214*s[7])/33 + (851258*s[8])/99 + 
       (3367417*s[9])/36 + (2104183*s[10])/72 + (32199227*s[11])/264 + 
       (17681339*s[12])/132 + (7122081*s[13])/88 + (459979*s[14])/33 + 
       (580661*s[15])/4 + (4084335*s[16])/22 + (37242781*s[17])/264 + 
       (1090315*s[18])/54 + (1783363*s[19])/108 + (130679459*s[20])/594 + 
       (189641939*s[21])/2376 - (69307193*s[22])/1188 - (11105115*s[23])/88 - 
       (287990893*s[24])/2376 + (3311663651*s[25])/21384 - 
       (1818140417*s[26])/21384 - 2*s[28] - 16*s[29] + s[30]/2 - 51*s[31] + 
       28*s[32] - (149*s[33])/8 + (95*s[34])/2 + 51*s[35] + 221*s[36] - 
       317*s[37] - 4136*s[38] + (31003*s[39])/2 - (35077*s[40])/2 + 
       (27355*s[41])/2 - (44289*s[42])/2 - (305245*s[43])/22 + 
       (1293997*s[44])/88 - (332103*s[45])/22 + (1319001*s[46])/11 - 
       (1261669*s[47])/264 - (810097*s[48])/264 + (16678063*s[49])/264 - 
       (2028335*s[50])/22 - (1362899*s[51])/88 - (3290081*s[52])/264 + 
       (8225119*s[53])/132 - (5438*s[54])/11 + (35005227*s[55])/88 + 
       (9243983*s[56])/88 - (5172875*s[57])/44 + (150404801*s[58])/792 - 
       (151153361*s[59])/792 - (1569741625*s[60])/1584 + 
       (90790819*s[61])/1782 + 8*s[63] - 2*s[64] - 7*s[65] - 8*s[66] + 
       2*s[67] - 31*s[68] + 39*s[69] - 130*s[70] + 16*s[71] - 22*s[72] - 
       2*s[73] + (109*s[74])/2 - (117*s[75])/2 + 9*s[76] + 117*s[77] + 
       14*s[78] - 1668*s[79] + 410*s[80] - 1786*s[82] + 51*s[83] - 
       726*s[84] - 476*s[85]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 
       1 - w]*((-455*s[2])/4 - (1233*s[3])/8 - (108377*s[4])/16 - 
       (202831*s[5])/44 - (2147707*s[6])/176 - (345398311*s[7])/3168 + 
       (13820183*s[8])/1584 + (3317071*s[9])/36 + (2042647*s[10])/72 + 
       (42531625*s[11])/352 + (35149747*s[12])/264 + (255552095*s[13])/3168 + 
       (4631413*s[14])/352 + (41054401*s[15])/288 + (18145744*s[16])/99 + 
       (438580591*s[17])/3168 + (710555*s[18])/36 + (782095*s[19])/48 + 
       (342487045*s[20])/1584 + (740695609*s[21])/9504 - 
       (547024405*s[22])/9504 - (49849673*s[23])/396 - 
       (284192209*s[24])/2376 + (6592154537*s[25])/42768 - 
       (3596760569*s[26])/42768 - 2*s[30] - 39*s[31] - 10*s[32] - 
       (179*s[33])/8 + 48*s[34] + (111*s[35])/2 + (755*s[36])/3 - 
       (3881*s[37])/12 - (8191*s[38])/2 + (127227*s[39])/8 - 
       (429937*s[40])/24 + (111873*s[41])/8 - (547637*s[42])/24 - 
       (338389*s[43])/24 + (180473*s[44])/12 - (358541*s[45])/24 + 
       (484197*s[46])/4 - (367337*s[47])/72 - (99229*s[48])/36 + 
       (4633955*s[49])/72 - (278333*s[50])/3 - (563723*s[51])/36 - 
       (913957*s[52])/72 + (1510865*s[53])/24 - (2117*s[54])/2 + 
       (1600365*s[55])/4 + (7629295*s[56])/72 - (26188339*s[57])/216 + 
       (31094429*s[58])/162 - (31294517*s[59])/162 - (107714447*s[60])/108 + 
       (298849157*s[61])/5832 - 12*s[62] + s[65] + 4*s[66] - 14*s[67] - 
       36*s[68] + 4*s[69] - 81*s[70] + (13*s[71])/2 - 39*s[72] + 55*s[73] + 
       (255*s[74])/4 - (223*s[75])/4 + 53*s[76] + (135*s[77])/2 - 63*s[78] - 
       1676*s[79] + (2545*s[80])/6 + s[81]/3 - 1786*s[82] + 51*s[83] - 
       726*s[84] - 476*s[85]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 
       1 - u]*((-367*s[2])/4 - (773*s[3])/4 - (98021*s[4])/16 - 
       (369565*s[5])/88 - (1956707*s[6])/176 - (52378585*s[7])/528 + 
       (38118169*s[8])/4752 + (36202109*s[9])/432 + (699874*s[10])/27 + 
       (86870059*s[11])/792 + (95522231*s[12])/792 + (57731779*s[13])/792 + 
       (19064477*s[14])/1584 + (9380087*s[15])/72 + (66062951*s[16])/396 + 
       (200531381*s[17])/1584 + (23548315*s[18])/1296 + (4732571*s[19])/324 + 
       (1403836747*s[20])/7128 + (1017407753*s[21])/14256 - 
       (745653499*s[22])/14256 - (91755659*s[23])/792 - 
       (385968745*s[24])/3564 + (35846091553*s[25])/256608 - 
       (19644881557*s[26])/256608 - 2*s[28] - (53*s[30])/4 - (65*s[31])/2 + 
       (29*s[32])/2 - (409*s[33])/16 + (169*s[34])/4 + (123*s[35])/2 + 
       (2755*s[36])/12 - (6367*s[37])/24 - 3668*s[38] + (227251*s[39])/16 - 
       (768997*s[40])/48 + (200683*s[41])/16 - (980069*s[42])/48 - 
       (6731975*s[43])/528 + (14181571*s[44])/1056 - (7354841*s[45])/528 + 
       (7308947*s[46])/66 - (14308013*s[47])/3168 - (7881659*s[48])/3168 + 
       (182712743*s[49])/3168 - (2799941*s[50])/33 - (44869867*s[51])/3168 - 
       (36010933*s[52])/3168 + (45896899*s[53])/792 - (158267*s[54])/132 + 
       (389601497*s[55])/1056 + (34447137*s[56])/352 - (10530691*s[57])/99 + 
       (1660337039*s[58])/9504 - (1674251459*s[59])/9504 - 
       (17312024375*s[60])/19008 + (675958859*s[61])/14256 + 25*s[63] - 
       (7*s[64])/4 - 2*s[65] + 4*s[66] - 9*s[67] - 34*s[68] - 6*s[69] - 
       122*s[70] + 11*s[71] - 43*s[72] + 31*s[73] + (229*s[74])/4 - 
       (245*s[75])/4 + 27*s[76] + (265*s[77])/2 - 59*s[78] - 1430*s[79] + 
       (3941*s[80])/12 - 1555*s[82] + 27*s[83] - 612*s[84] - 464*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      ((-921*s[2])/8 - (815*s[3])/16 - (171187*s[4])/32 - (703731*s[5])/176 - 
       (3541787*s[6])/352 - (191395927*s[7])/2112 + (22659779*s[8])/3168 + 
       (11062751*s[9])/144 + (214711*s[10])/9 + (211141289*s[11])/2112 + 
       (28988519*s[12])/264 + (139147435*s[13])/2112 + 
       (26032121*s[14])/2112 + (22850477*s[15])/192 + (80493571*s[16])/528 + 
       (81809185*s[17])/704 + (7291279*s[18])/432 + (11218153*s[19])/864 + 
       (1724085925*s[20])/9504 + (1250621363*s[21])/19008 - 
       (909722611*s[22])/19008 - (54637973*s[23])/528 - 
       (235334135*s[24])/2376 + (1354899089*s[25])/10692 - 
       (1493678983*s[26])/21384 + 6*s[30] - (67*s[31])/2 - (17*s[33])/16 + 
       (59*s[34])/2 + (137*s[35])/4 + (2311*s[36])/12 - (1095*s[37])/4 - 
       (13305*s[38])/4 + (102879*s[39])/8 - (349079*s[40])/24 + 
       (45691*s[41])/4 - (443257*s[42])/24 - (3025567*s[43])/264 + 
       (12852313*s[44])/1056 - (1121337*s[45])/88 + (13318505*s[46])/132 - 
       (13062095*s[47])/3168 - (7677419*s[48])/3168 + 
       (164953949*s[49])/3168 - (20462509*s[50])/264 - 
       (40965427*s[51])/3168 - (32856013*s[52])/3168 + 
       (83695129*s[53])/1584 - (108011*s[54])/66 + (355164605*s[55])/1056 + 
       (284043719*s[56])/3168 - (453803947*s[57])/4752 + 
       (4527084289*s[58])/28512 - (4547049781*s[59])/28512 - 
       (15802848359*s[60])/19008 + (5588993189*s[61])/128304 - (17*s[62])/2 + 
       s[64]/4 - (7*s[65])/4 - (19*s[67])/2 - 23*s[68] - s[69] - 
       (149*s[70])/2 + (21*s[71])/2 - (35*s[72])/2 + (53*s[73])/2 + 
       (415*s[74])/8 - (373*s[75])/8 + 34*s[76] + (253*s[77])/4 - 
       (29*s[78])/2 - 1402*s[79] + (709*s[80])/2 + s[81]/3 - 1555*s[82] + 
       27*s[83] - 612*s[84] - 464*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w]*((-199*s[2])/4 - (237*s[3])/4 - 
       (18049*s[4])/8 - (171037*s[5])/88 - (211633*s[6])/44 - 
       (67253633*s[7])/1584 + (7164053*s[8])/2376 + (7752253*s[9])/216 + 
       (2665013*s[10])/216 + (18475595*s[11])/396 + (39876773*s[12])/792 + 
       (7924127*s[13])/264 + (738908*s[14])/99 + (911429*s[15])/16 + 
       (12836553*s[16])/176 + (45611921*s[17])/792 + (4994813*s[18])/648 + 
       (4501399*s[19])/648 + (619454599*s[20])/7128 + (28528535*s[21])/891 - 
       (159560471*s[22])/7128 - (22311029*s[23])/528 - 
       (684210097*s[24])/14256 + (7470547847*s[25])/128304 - 
       (4211495477*s[26])/128304 + 3*s[29] + (15*s[30])/2 - 2*s[31] + 
       2*s[32] + (53*s[33])/2 - 16*s[34] + (101*s[35])/2 + (1231*s[36])/12 + 
       (161*s[37])/6 - 1386*s[38] + (87187*s[39])/16 - (297517*s[40])/48 + 
       (80675*s[41])/16 - (365537*s[42])/48 - (2823959*s[43])/528 + 
       (5973523*s[44])/1056 - (420577*s[45])/66 + (25533061*s[46])/528 - 
       (3285173*s[47])/3168 - (7953155*s[48])/3168 + (80679239*s[49])/3168 - 
       (10057339*s[50])/264 - (16236499*s[51])/3168 - (12336397*s[52])/3168 + 
       (40983641*s[53])/1584 + (283765*s[54])/132 + (175723561*s[55])/1056 + 
       (14812085*s[56])/352 - (12020191*s[57])/396 + (680813225*s[58])/9504 - 
       (695686847*s[59])/9504 - (7769606345*s[60])/19008 + 
       (202549085*s[61])/9504 + 2*s[64] + (11*s[65])/4 + 7*s[66] - 19*s[67] - 
       (5*s[68])/2 - (69*s[69])/2 - 45*s[70] + s[71] + 3*s[72] + 13*s[73] + 
       21*s[74] - (47*s[75])/2 - 23*s[76] + (127*s[77])/2 - 8*s[78] - 
       452*s[79] + (413*s[80])/3 - 2004*s[82] - (9*s[83])/2 - 231*s[84] - 
       444*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - u]*((29*s[2])/4 - (483*s[3])/4 - (4413*s[4])/8 - 
       (72527*s[5])/88 - (76761*s[6])/44 - (26449673*s[7])/1584 + 
       (272188*s[8])/297 + (1529759*s[9])/108 + (1295141*s[10])/216 + 
       (28638221*s[11])/1584 + (14945729*s[12])/792 + (5740331*s[13])/528 + 
       (7360391*s[14])/1584 + (1127135*s[15])/48 + (3936553*s[16])/132 + 
       (39821869*s[17])/1584 + (1971209*s[18])/648 + (2153893*s[19])/648 + 
       (260963539*s[20])/7128 + (195685547*s[21])/14256 - 
       (125440519*s[22])/14256 - (2882447*s[23])/264 - 
       (36208835*s[24])/1782 + (2772155411*s[25])/128304 - 
       (1646229779*s[26])/128304 + 2*s[30] + 19*s[31] - (41*s[32])/2 + 
       (289*s[33])/8 - 57*s[34] + (11*s[35])/2 + (5*s[36])/6 + 
       (2309*s[37])/24 - (1201*s[38])/4 + (8281*s[39])/8 - (32639*s[40])/24 + 
       1159*s[41] - (14501*s[42])/12 - (413989*s[43])/264 + 
       (828887*s[44])/528 - (1452395*s[45])/528 + (8981707*s[46])/528 + 
       (740765*s[47])/1584 - (3218113*s[48])/1584 + (12653137*s[49])/1584 - 
       (1851491*s[50])/132 - (1313663*s[51])/1584 - (664841*s[52])/1584 + 
       (14916173*s[53])/1584 + (714353*s[54])/264 + (33659521*s[55])/528 + 
       (8214023*s[56])/528 + (99463*s[57])/44 + (13167301*s[58])/594 - 
       (108148409*s[59])/4752 - (363573871*s[60])/2376 + 
       (726780881*s[61])/85536 - s[65] - 4*s[66] + 8*s[67] + (13*s[68])/2 + 
       (19*s[69])/2 - 39*s[70] + s[71]/4 + 16*s[72] - 2*s[73] - 10*s[74] - 
       2*s[75] - 21*s[76] + 42*s[77] + 32*s[78] - 134*s[79] + 
       (923*s[80])/12 - 2364*s[82] + (9*s[83])/2 - 69*s[84] - 444*s[85]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      ((-477*s[2])/4 - (237*s[3])/2 - (85643*s[4])/16 - (92255*s[5])/22 - 
       (1810675*s[6])/176 - (12181351*s[7])/132 + (34313129*s[8])/4752 + 
       (33872647*s[9])/432 + (5283529*s[10])/216 + (160825783*s[11])/1584 + 
       (87870769*s[12])/792 + (105683725*s[13])/1584 + (10377593*s[14])/792 + 
       (17575931*s[15])/144 + (123093449*s[16])/792 + (94496315*s[17])/792 + 
       (22785305*s[18])/1296 + (8270321*s[19])/648 + (330365975*s[20])/1782 + 
       (485183345*s[21])/7128 - (347499685*s[22])/7128 - 
       (83733949*s[23])/792 - (89270849*s[24])/891 + (32901063755*s[25])/
        256608 - (18331501919*s[26])/256608 - 6*s[28] - 8*s[29] - 
       (29*s[30])/4 - (113*s[31])/2 + (31*s[32])/2 - (553*s[33])/16 + 
       (273*s[34])/4 + (119*s[35])/2 + (2233*s[36])/12 - (5725*s[37])/24 - 
       (6537*s[38])/2 + (205589*s[39])/16 - (696211*s[40])/48 + 
       (181693*s[41])/16 - (889883*s[42])/48 - (548587*s[43])/48 + 
       (1161947*s[44])/96 - (607801*s[45])/48 + (1204907*s[46])/12 - 
       (1209349*s[47])/288 - (569083*s[48])/288 + (14868319*s[49])/288 - 
       (461183*s[50])/6 - (3712235*s[51])/288 - (2974085*s[52])/288 + 
       (3792803*s[53])/72 - (18973*s[54])/12 + (32182793*s[55])/96 + 
       (8583179*s[56])/96 - (193915*s[57])/2 + (137018567*s[58])/864 - 
       (137987123*s[59])/864 - (1422585535*s[60])/1728 + 
       (168062915*s[61])/3888 + 21*s[63] + (7*s[64])/4 - 2*s[65] - 4*s[66] + 
       7*s[67] - 28*s[68] + 15*s[69] - 98*s[70] + 11*s[71] - 39*s[72] + 
       3*s[73] + (217*s[74])/4 - (233*s[75])/4 + 57*s[76] + (241*s[77])/2 - 
       55*s[78] - 1322*s[79] + (3407*s[80])/12 - 1351*s[82] + 27*s[83] - 
       588*s[84] - 416*s[85]) + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 
       1 - w]*((-1141*s[2])/8 - (711*s[3])/16 - (161015*s[4])/32 - 
       (700677*s[5])/176 - (3482531*s[6])/352 - (556500281*s[7])/6336 + 
       (7285033*s[8])/1056 + (3583175*s[9])/48 + (556849*s[10])/24 + 
       (204032045*s[11])/2112 + (9297417*s[12])/88 + (401235253*s[13])/6336 + 
       (26949869*s[14])/2112 + (66713291*s[15])/576 + 
       (234188557*s[16])/1584 + (718570661*s[17])/6336 + 
       (7247677*s[18])/432 + (10250101*s[19])/864 + (1677364489*s[20])/9504 + 
       (1230780679*s[21])/19008 - (294163877*s[22])/6336 - 
       (158988437*s[23])/1584 - (9425281*s[24])/99 + (5215181107*s[25])/
        42768 - (2908369345*s[26])/42768 - 17*s[30] - (103*s[31])/2 + 
       (33*s[32])/2 - (473*s[33])/16 + (141*s[34])/2 + (231*s[35])/4 + 
       (779*s[36])/4 - (3185*s[37])/12 - (12443*s[38])/4 + 12420*s[39] - 
       (56093*s[40])/4 + (87799*s[41])/8 - (35927*s[42])/2 - 
       (120354*s[43])/11 + (4109593*s[44])/352 - (3195007*s[45])/264 + 
       (25501117*s[46])/264 - (4328959*s[47])/1056 - (1915999*s[48])/1056 + 
       (52390285*s[49])/1056 - (6516085*s[50])/88 - (13126871*s[51])/1056 - 
       (10548209*s[52])/1056 + (80430439*s[53])/1584 - (134477*s[54])/66 + 
       (340359067*s[55])/1056 + (273696085*s[56])/3168 - 
       (445247003*s[57])/4752 + (4347726011*s[58])/28512 - 
       (4376427659*s[59])/28512 - (1672166149*s[60])/2112 + 
       (2678362637*s[61])/64152 - 8*s[62] - s[64]/4 + (7*s[65])/4 + 8*s[66] - 
       (7*s[67])/2 - 25*s[68] - (99*s[70])/2 + (15*s[71])/2 - (71*s[72])/2 + 
       (69*s[73])/2 + (431*s[74])/8 - (393*s[75])/8 + 84*s[76] + 
       (245*s[77])/4 - (101*s[78])/2 - 1346*s[79] + (1933*s[80])/6 + 
       s[81]/3 - 1351*s[82] + 27*s[83] - 588*s[84] - 416*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((-331*s[2])/6 - (5189*s[3])/24 - (95725*s[4])/24 - 
       (1422029*s[5])/528 - (3732383*s[6])/528 - (603893287*s[7])/9504 + 
       (24270869*s[8])/4752 + (11559881*s[9])/216 + (7255799*s[10])/432 + 
       (74187907*s[11])/1056 + (7639136*s[12])/99 + (442232921*s[13])/9504 + 
       (7833257*s[14])/1056 + (72356377*s[15])/864 + (127378297*s[16])/1188 + 
       (777071833*s[17])/9504 + (275963*s[18])/24 + (4252733*s[19])/432 + 
       (199284061*s[20])/1584 + (1295038291*s[21])/28512 - 
       (951790897*s[22])/28512 - (350376905*s[23])/4752 - 
       (995791955*s[24])/14256 + (11501625977*s[25])/128304 - 
       (6276272093*s[26])/128304 + (131*s[30])/12 - (85*s[31])/6 + 
       (25*s[32])/3 - (137*s[33])/48 + (139*s[34])/12 + (287*s[35])/6 + 
       (1144*s[36])/9 - (367*s[37])/4 - (28529*s[38])/12 + 
       (108899*s[39])/12 - (366709*s[40])/36 + (64691*s[41])/8 - 
       (231367*s[42])/18 - (3286403*s[43])/396 + (6888991*s[44])/792 - 
       (2494889*s[45])/264 + (58002181*s[46])/792 - (3126925*s[47])/1188 - 
       (1275851*s[48])/594 + (90712187*s[49])/2376 - (44828989*s[50])/792 - 
       (5319829*s[51])/594 - (16971325*s[52])/2376 + (91988279*s[53])/2376 + 
       (104785*s[54])/792 + (195349931*s[55])/792 + (152680415*s[56])/2376 - 
       (441942209*s[57])/7128 + (302155433*s[58])/2673 - 
       (305762453*s[59])/2673 - (4326942691*s[60])/7128 + 
       (12225267641*s[61])/384912 + (7*s[64])/4 + (23*s[65])/12 + 
       (11*s[66])/3 - (95*s[67])/6 - (37*s[68])/3 - (113*s[69])/6 - 
       (46*s[70])/3 + (109*s[71])/12 - (44*s[72])/3 + (64*s[73])/3 + 
       (457*s[74])/12 - (227*s[75])/6 + (15*s[76])/2 + (53*s[77])/6 - 
       (43*s[78])/3 - 748*s[79] + (499*s[80])/3 - 1340*s[82] - 2*s[83] - 
       351*s[84] - 416*s[85]) + HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 
       1 - v]*((-161*s[2])/3 - (1797*s[3])/8 - (15547*s[4])/4 - 
       (1408925*s[5])/528 - (3589945*s[6])/528 - (588001735*s[7])/9504 + 
       (70601275*s[8])/14256 + (16887617*s[9])/324 + (21262963*s[10])/1296 + 
       (650239105*s[11])/9504 + (178424867*s[12])/2376 + 
       (143083301*s[13])/3168 + (68799823*s[14])/9504 + (7847885*s[15])/96 + 
       (18396517*s[16])/176 + (757826231*s[17])/9504 + (10896277*s[18])/972 + 
       (37476707*s[19])/3888 + (5249858771*s[20])/42768 + 
       (3793927891*s[21])/85536 - (2781320153*s[22])/85536 - 
       (57235381*s[23])/792 - (1455829679*s[24])/21384 + 
       (8394953795*s[25])/96228 - (1145949311*s[26])/24057 + (103*s[30])/12 - 
       (85*s[31])/6 + (20*s[32])/3 - (169*s[33])/48 + (155*s[34])/12 + 
       (313*s[35])/6 + (2267*s[36])/18 - (974*s[37])/9 - (27241*s[38])/12 + 
       (211775*s[39])/24 - (715217*s[40])/72 + (94379*s[41])/12 - 
       (905431*s[42])/72 - (6286579*s[43])/792 + (6717217*s[44])/792 - 
       (3531257*s[45])/396 + (55565537*s[46])/792 - (791464*s[47])/297 - 
       (4419659*s[48])/2376 + (87306599*s[49])/2376 - (42970921*s[50])/792 - 
       (20750023*s[51])/2376 - (8189903*s[52])/1188 + (43930613*s[53])/1188 + 
       (1739*s[54])/792 + (186416047*s[55])/792 + (16275505*s[56])/264 - 
       (147737075*s[57])/2376 + (388426141*s[58])/3564 - 
       (98200360*s[59])/891 - (8271988319*s[60])/14256 + 
       (48098959*s[61])/1584 + (7*s[64])/4 + (23*s[65])/12 + (11*s[66])/3 - 
       (95*s[67])/6 - (37*s[68])/3 - (113*s[69])/6 - (46*s[70])/3 + 
       (25*s[71])/12 - (46*s[72])/3 + 30*s[73] + (155*s[74])/4 - 
       (73*s[75])/2 + (145*s[76])/6 + (55*s[77])/6 - (55*s[78])/3 - 
       (2288*s[79])/3 + (3481*s[80])/18 - 1340*s[82] - 2*s[83] - 351*s[84] - 
       416*s[85]) + HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - w]*
      ((-1169*s[2])/2 - (2559*s[3])/4 - (72191*s[4])/8 - (74689*s[5])/11 - 
       (1573681*s[6])/88 - (73530283*s[7])/528 + (26969131*s[8])/2376 + 
       (3194293*s[9])/27 + (3510605*s[10])/108 + (244264699*s[11])/1584 + 
       (67257623*s[12])/396 + (164955157*s[13])/1584 + 
       (29217343*s[14])/1584 + (26259743*s[15])/144 + (91832689*s[16])/396 + 
       (276354421*s[17])/1584 + (2260076*s[18])/81 + (9829547*s[19])/648 + 
       (1967237303*s[20])/7128 + (1508033545*s[21])/14256 - 
       (1044844349*s[22])/14256 - (71597285*s[23])/396 - 
       (261257221*s[24])/1782 + (12507828671*s[25])/64152 - 
       (7146780887*s[26])/64152 - 12*s[28] - 72*s[29] - 14*s[30] + 6*s[31] - 
       32*s[32] + (991*s[33])/4 + 60*s[34] + 39*s[35] + 153*s[36] - 
       (4583*s[37])/6 - 5151*s[38] + 20187*s[39] - 23270*s[40] + 
       (35771*s[41])/2 - 30065*s[42] - (184699*s[43])/11 + 
       (1584729*s[44])/88 - (2285143*s[45])/132 + (18702217*s[46])/132 - 
       (2269823*s[47])/264 + (85585*s[48])/264 + (18372581*s[49])/264 - 
       (1134811*s[50])/11 - (1878357*s[51])/88 - (4727017*s[52])/264 + 
       (7021316*s[53])/99 - (465314*s[54])/33 + (119951879*s[55])/264 + 
       (107522057*s[56])/792 - (244427089*s[57])/1188 + 
       (1760495425*s[58])/7128 - (1734705403*s[59])/7128 - 
       (588934699*s[60])/528 + (3999405271*s[61])/64152 + 96*s[63] + 
       8*s[64] - 36*s[65] - 64*s[66] + 96*s[67] - 240*s[68] + 184*s[69] - 
       680*s[70] + 48*s[71] - 46*s[72] + 98*s[73] + (81*s[74])/2 - 
       (97*s[75])/2 - 158*s[76] + 795*s[77] + 90*s[78] - 2548*s[79] + 
       (1825*s[80])/3 + 2208*s[82] + 111*s[83] - 1002*s[84] - 408*s[85]) + 
     HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - u]*(-112*s[2] - 486*s[3] - 
       (47379*s[4])/4 - (29525*s[5])/4 - (44733*s[6])/2 - (2081881*s[7])/12 + 
       (405922*s[8])/27 + (3935938*s[9])/27 + (4186433*s[10])/108 + 
       (6969653*s[11])/36 + (7852141*s[12])/36 + (2395393*s[13])/18 + 
       (701609*s[14])/36 + (7823297*s[15])/36 + (5130301*s[16])/18 + 
       (7427429*s[17])/36 + (5912479*s[18])/162 + (1426915*s[19])/81 + 
       (54808393*s[20])/162 + (20134495*s[21])/162 - (29367823*s[22])/324 - 
       (4138925*s[23])/18 - (28748345*s[24])/162 + (362133745*s[25])/1458 - 
       (200366143*s[26])/1458 + 3*s[30] - 42*s[31] - 164*s[32] + 
       (179*s[33])/4 + 55*s[34] + 439*s[35] + 364*s[36] - (1624*s[37])/3 - 
       7690*s[38] + (58373*s[39])/2 - (65413*s[40])/2 + (50175*s[41])/2 - 
       (84257*s[42])/2 - (526219*s[43])/22 + (565153*s[44])/22 - 
       (1626857*s[45])/66 + (6730483*s[46])/33 - (414794*s[47])/33 - 
       (53791*s[48])/66 + (3447506*s[49])/33 - (1644842*s[50])/11 - 
       (1950095*s[51])/66 - (853114*s[52])/33 + (20080261*s[53])/198 - 
       (518432*s[54])/33 + (42533761*s[55])/66 + (18365572*s[56])/99 - 
       (159714971*s[57])/594 + (612753001*s[58])/1782 - 
       (600303895*s[59])/1782 - (640814477*s[60])/396 + 
       (712596647*s[61])/8019 + 12*s[64] + 12*s[65] - 216*s[68] - 296*s[70] + 
       60*s[71] - 36*s[72] + 8*s[73] + 137*s[74] - 137*s[75] + 234*s[76] + 
       358*s[77] - 228*s[78] - 2980*s[79] + (1978*s[80])/3 + 2*s[81] + 
       2208*s[82] + 111*s[83] - 1002*s[84] - 408*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((-371*s[2])/6 - (799*s[3])/12 - 3306*s[4] - (297029*s[5])/132 - 
       (1515095*s[6])/264 - (9492229*s[7])/176 + (30679519*s[8])/7128 + 
       (14778667*s[9])/324 + (4701185*s[10])/324 + (35378267*s[11])/594 + 
       (310463807*s[12])/4752 + (186518479*s[13])/4752 + 
       (29613805*s[14])/4752 + (30809675*s[15])/432 + 
       (216614129*s[16])/2376 + (82674499*s[17])/1188 + 
       (18596005*s[18])/1944 + (16677059*s[19])/1944 + 
       (573170405*s[20])/5346 + (1646323543*s[21])/42768 - 
       (1218337625*s[22])/42768 - (290252285*s[23])/4752 - 
       (2551222175*s[24])/42768 + (14614100135*s[25])/192456 - 
       (7944235127*s[26])/192456 + (5*s[30])/6 - (53*s[31])/3 + 
       (13*s[32])/2 - (155*s[33])/24 + (35*s[34])/2 + (160*s[35])/3 + 
       (388*s[36])/3 - (189*s[37])/2 - (5653*s[38])/3 + (60351*s[39])/8 - 
       (68271*s[40])/8 + (162911*s[41])/24 - (258049*s[42])/24 - 
       (1800383*s[43])/264 + (1287987*s[44])/176 - (2064125*s[45])/264 + 
       (2018821*s[46])/33 - (3418903*s[47])/1584 - (2795269*s[48])/1584 + 
       (50553559*s[49])/1584 - (1571950*s[50])/33 - (3911521*s[51])/528 - 
       (9289055*s[52])/1584 + (12865403*s[53])/396 + (89249*s[54])/132 + 
       (108961091*s[55])/528 + (9396153*s[56])/176 - (20323205*s[57])/396 + 
       (49668391*s[58])/528 - (150791653*s[59])/1584 - 
       (4828073131*s[60])/9504 + (70716788*s[61])/2673 + (11*s[64])/6 + 
       s[65] - s[66]/3 - 6*s[67] - (16*s[68])/3 - (13*s[69])/3 - 
       (65*s[70])/3 + (2*s[71])/3 - (38*s[72])/3 + (20*s[73])/3 + 
       (107*s[74])/3 - (197*s[75])/6 + (86*s[76])/3 + (92*s[77])/3 - 
       (70*s[78])/3 - (2140*s[79])/3 + (542*s[80])/3 - 1464*s[82] - s[83]/2 - 
       333*s[84] - 392*s[85]) + HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - v]*
      (-38*s[2] - 1219*s[3] - (18289*s[4])/2 - (46697*s[5])/11 - 
       (310437*s[6])/22 - (45992449*s[7])/396 + (6601451*s[8])/594 + 
       (2605859*s[9])/27 + (678682*s[10])/27 + (51316811*s[11])/396 + 
       (14512969*s[12])/99 + (35880733*s[13])/396 + (2901695*s[14])/396 + 
       (5269319*s[15])/36 + (18659194*s[16])/99 + (17645239*s[17])/132 + 
       (1897639*s[18])/81 + (2038483*s[19])/162 + (393939481*s[20])/1782 + 
       (283579529*s[21])/3564 - (214447921*s[22])/3564 - 
       (16894949*s[23])/99 - (105578974*s[24])/891 + (2706521737*s[25])/
        16038 - (1458903829*s[26])/16038 + 4*s[30] - 70*s[32] - 19*s[33] - 
       12*s[34] + 44*s[35] + (164*s[36])/3 - 394*s[37] - 6488*s[38] + 
       21006*s[39] - (70238*s[40])/3 + 18284*s[41] - (88378*s[42])/3 - 
       (628942*s[43])/33 + (1211051*s[44])/66 - (221955*s[45])/11 + 
       (5090881*s[46])/33 - (1405537*s[47])/198 - (386893*s[48])/198 + 
       (15617935*s[49])/198 - (3820444*s[50])/33 - (4177529*s[51])/198 - 
       (3605807*s[52])/198 + (7845470*s[53])/99 - (265328*s[54])/33 + 
       (11317611*s[55])/22 + (27749113*s[56])/198 - (50490722*s[57])/297 + 
       (451242419*s[58])/1782 - (456537317*s[59])/1782 - 
       (1490379523*s[60])/1188 + (1059344285*s[61])/16038 - 4*s[64] - 
       48*s[65] - 64*s[66] + 96*s[67] + 68*s[68] + 180*s[69] - 68*s[70] + 
       120*s[71] + 8*s[72] - 48*s[73] + 2*s[74] - 24*s[75] + 24*s[76] - 
       20*s[77] + 144*s[78] - 2072*s[79] + 108*s[80] + 5136*s[82] + 
       102*s[83] - 804*s[84] - 384*s[85]) + HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - u]*(16*s[2] - (527*s[3])/2 - (12731*s[4])/4 - 
       (39541*s[5])/22 - (226467*s[6])/44 - (12774731*s[7])/264 + 
       (4500839*s[8])/1188 + (1101796*s[9])/27 + (350372*s[10])/27 + 
       (42739661*s[11])/792 + (5925548*s[12])/99 + (28793615*s[13])/792 + 
       (4070177*s[14])/792 + (4523635*s[15])/72 + (32239543*s[16])/396 + 
       (48047639*s[17])/792 + (1386607*s[18])/162 + (2582503*s[19])/324 + 
       (341626987*s[20])/3564 + (243310415*s[21])/7128 - 
       (182155159*s[22])/7128 - (21378623*s[23])/396 - 
       (193072229*s[24])/3564 + (1106066801*s[25])/16038 - 
       (298115137*s[26])/8019 - 2*s[28] - 6*s[29] + 4*s[30] - 2*s[31] + 
       5*s[32] + 16*s[33] - 16*s[34] + 28*s[35] + 70*s[36] - (53*s[37])/3 - 
       1858*s[38] + 6686*s[39] - 7702*s[40] + 6129*s[41] - 9409*s[42] - 
       (68432*s[43])/11 + (143551*s[44])/22 - (456931*s[45])/66 + 
       (3532753*s[46])/66 - (128867*s[47])/66 - (126755*s[48])/66 + 
       (1893557*s[49])/66 - (456458*s[50])/11 - (447961*s[51])/66 - 
       (357151*s[52])/66 + (5407397*s[53])/198 + (36857*s[54])/33 + 
       (11644843*s[55])/66 + (9118195*s[56])/198 - (14818505*s[57])/297 + 
       (74953783*s[58])/891 - (149396915*s[59])/1782 - (88922609*s[60])/198 + 
       (728672185*s[61])/32076 + 8*s[63] + 2*s[64] - 4*s[65] - 10*s[66] + 
       8*s[67] - 14*s[68] + 38*s[69] - 124*s[70] + 10*s[71] + 8*s[72] - 
       12*s[73] + 16*s[74] - 20*s[75] - 16*s[76] + 124*s[77] + 24*s[78] - 
       748*s[79] + (614*s[80])/3 - 1536*s[82] + 36*s[83] - 312*s[84] - 
       384*s[85]) + HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      (-31*s[2] - (395*s[3])/2 - (10495*s[4])/4 - (35943*s[5])/22 - 
       (208611*s[6])/44 - (33372605*s[7])/792 + (1243571*s[8])/396 + 
       (639047*s[9])/18 + (102686*s[10])/9 + (12412825*s[11])/264 + 
       (3427675*s[12])/66 + (25050877*s[13])/792 + (1422613*s[14])/264 + 
       (3933119*s[15])/72 + (7030997*s[16])/99 + (42262217*s[17])/792 + 
       (390737*s[18])/54 + (764093*s[19])/108 + (99616397*s[20])/1188 + 
       (23697077*s[21])/792 - (52861507*s[22])/2376 - (4420660*s[23])/99 - 
       (14219252*s[24])/297 + (17800987*s[25])/297 - (9640744*s[26])/297 + 
       22*s[30] + 4*s[31] - 28*s[32] + (35*s[33])/2 - 22*s[34] - 28*s[35] + 
       (91*s[36])/3 - (148*s[37])/3 - 1594*s[38] + (23171*s[39])/4 - 
       (80557*s[40])/12 + (21187*s[41])/4 - (97337*s[42])/12 - 
       (722951*s[43])/132 + (1523839*s[44])/264 - (396293*s[45])/66 + 
       (2049489*s[46])/44 - (1220633*s[47])/792 - (1611815*s[48])/792 + 
       (19920515*s[49])/792 - (2376229*s[50])/66 - (4576303*s[51])/792 - 
       (3686545*s[52])/792 + (3136213*s[53])/132 + (5950*s[54])/11 + 
       (40524905*s[55])/264 + (31947217*s[56])/792 - (24840769*s[57])/594 + 
       (517440887*s[58])/7128 - (516036149*s[59])/7128 - 
       (1862604929*s[60])/4752 + (1272283313*s[61])/64152 - 12*s[62] - 
       s[65] - 2*s[66] + 4*s[67] - 16*s[68] + 18*s[69] - 70*s[70] + 4*s[71] + 
       12*s[72] + 28*s[73] + 14*s[74] - 8*s[75] + 18*s[76] + 48*s[77] + 
       48*s[78] - 712*s[79] + (616*s[80])/3 + s[81]/3 - 1536*s[82] + 
       36*s[83] - 312*s[84] - 384*s[85]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 0, 1, 1}, 1 - w]*((-86*s[2])/3 + (53*s[3])/12 - 
       (140807*s[4])/48 - (1263593*s[5])/528 - (1429723*s[6])/264 - 
       (255390389*s[7])/4752 + (9791765*s[8])/2376 + (9837271*s[9])/216 + 
       (6752881*s[10])/432 + (5795794*s[11])/99 + (12487271*s[12])/198 + 
       (22056299*s[13])/594 + (13031125*s[14])/1584 + (31599209*s[15])/432 + 
       (219072503*s[16])/2376 + (87105041*s[17])/1188 + (6168865*s[18])/648 + 
       (2923345*s[19])/324 + (97317724*s[20])/891 + (93159497*s[21])/2376 - 
       (404104891*s[22])/14256 - (264664199*s[23])/4752 - 
       (861130645*s[24])/14256 + (3152111969*s[25])/42768 - 
       (1737337385*s[26])/42768 + 2*s[28] + 5*s[29] + (95*s[30])/12 - 
       (97*s[31])/6 + (253*s[32])/12 - (1163*s[33])/48 + (103*s[34])/12 + 
       (281*s[35])/6 + (1219*s[36])/9 - (207*s[37])/4 - (5024*s[38])/3 + 
       (41527*s[39])/6 - (69979*s[40])/9 + (24995*s[41])/4 - 
       (714025*s[42])/72 - (1230379*s[43])/198 + (10794713*s[44])/1584 - 
       (949447*s[45])/132 + (22617509*s[46])/396 - (8597491*s[47])/4752 - 
       (7499647*s[48])/4752 + (141941539*s[49])/4752 - (4509809*s[50])/99 - 
       (32511461*s[51])/4752 - (24400757*s[52])/4752 + 
       (74165207*s[53])/2376 + (137807*s[54])/99 + (312645577*s[55])/1584 + 
       (233843485*s[56])/4752 - (70712531*s[57])/1782 + 
       (3635014571*s[58])/42768 - (3732636671*s[59])/42768 - 
       (13649309845*s[60])/28512 + (4728694657*s[61])/192456 - 15*s[63] + 
       3*s[64] + (19*s[65])/6 + (23*s[66])/3 - (125*s[67])/6 + 
       (187*s[68])/6 - (94*s[69])/3 + (218*s[70])/3 - (37*s[71])/6 - 
       (59*s[72])/3 + (73*s[73])/3 + (127*s[74])/3 - (415*s[75])/12 + 
       (59*s[76])/2 - (185*s[77])/3 - (58*s[78])/3 - 738*s[79] + 
       (709*s[80])/3 - 1568*s[82] - 2*s[83] - 345*s[84] - 368*s[85]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((-917*s[2])/12 - (229*s[3])/8 - (24179*s[4])/8 - (1224581*s[5])/528 - 
       (2910103*s[6])/528 - (498983959*s[7])/9504 + (58735615*s[8])/14256 + 
       (28787437*s[9])/648 + (19033639*s[10])/1296 + (546522685*s[11])/9504 + 
       (73944193*s[12])/1188 + (39483319*s[13])/1056 + 
       (65120167*s[14])/9504 + (20318831*s[15])/288 + 
       (141246263*s[16])/1584 + (662372099*s[17])/9504 + 
       (18047471*s[18])/1944 + (33074813*s[19])/3888 + 
       (4488090317*s[20])/42768 + (3257862919*s[21])/85536 - 
       (2369286533*s[22])/85536 - (15286325*s[23])/264 - 
       (155119951*s[24])/2673 + (14018332699*s[25])/192456 - 
       (7702284187*s[26])/192456 - (53*s[30])/12 - (175*s[31])/6 + 
       (335*s[32])/12 - (1063*s[33])/48 + (383*s[34])/12 + (47*s[35])/3 + 
       (1417*s[36])/9 - (1399*s[37])/18 - (5269*s[38])/3 + 
       (171335*s[39])/24 - (573881*s[40])/72 + (152173*s[41])/24 - 
       (184321*s[42])/18 - (5130187*s[43])/792 + (684428*s[44])/99 - 
       (2913749*s[45])/396 + (46084523*s[46])/792 - (582862*s[47])/297 - 
       (3154763*s[48])/2376 + (72433217*s[49])/2376 - (18096569*s[50])/396 - 
       (2060441*s[51])/297 - (12764317*s[52])/2376 + (9340853*s[53])/297 + 
       (276809*s[54])/198 + (158082367*s[55])/792 + (13248953*s[56])/264 - 
       (106412885*s[57])/2376 + (628827425*s[58])/7128 - 
       (322799767*s[59])/3564 - (6896198351*s[60])/14256 + 
       (1058178667*s[61])/42768 + 3*s[62] + s[64] + (8*s[65])/3 + 
       (20*s[66])/3 - (46*s[67])/3 + (67*s[68])/6 - (37*s[69])/3 + 
       (71*s[70])/3 - (14*s[71])/3 - (94*s[72])/3 + 49*s[73] + 41*s[74] - 
       40*s[75] + (29*s[76])/3 - (83*s[77])/6 - (88*s[78])/3 - 
       (1904*s[79])/3 + (1466*s[80])/9 - s[81]/3 - 1568*s[82] - 2*s[83] - 
       345*s[84] - 368*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*((-2717*s[2])/36 - 
       (635*s[3])/6 - (273793*s[4])/72 - (1051471*s[5])/396 - 
       (5325109*s[6])/792 - (587853527*s[7])/9504 + (23708417*s[8])/4752 + 
       (22604941*s[9])/432 + (7055597*s[10])/432 + (215572715*s[11])/3168 + 
       (59001407*s[12])/792 + (426244135*s[13])/9504 + 
       (23667631*s[14])/3168 + (70836773*s[15])/864 + 
       (495345155*s[16])/4752 + (759353759*s[17])/9504 + 
       (14560267*s[18])/1296 + (3007193*s[19])/324 + (1750724969*s[20])/
        14256 + (140277331*s[21])/3168 - (929574637*s[22])/28512 - 
       (85180213*s[23])/1188 - (481096717*s[24])/7128 + 
       (1236873371*s[25])/14256 - (337871041*s[26])/7128 - (62*s[30])/9 - 
       (257*s[31])/9 + (451*s[32])/36 - (763*s[33])/24 + 40*s[34] + 
       (403*s[35])/18 + (1363*s[36])/9 - (1193*s[37])/9 - (13793*s[38])/6 + 
       (664673*s[39])/72 - (750313*s[40])/72 + (592633*s[41])/72 - 
       (957647*s[42])/72 - (6551243*s[43])/792 + (27771569*s[44])/3168 - 
       (1253311*s[45])/132 + (58708753*s[46])/792 - (26859131*s[47])/9504 - 
       (15068363*s[48])/9504 + (359154989*s[49])/9504 - (5673598*s[50])/99 - 
       (86663167*s[51])/9504 - (69512677*s[52])/9504 + 
       (187679911*s[53])/4752 - (81038*s[54])/99 + (88352009*s[55])/352 + 
       (625761887*s[56])/9504 - (915301687*s[57])/14256 + 
       (9822533239*s[58])/85536 - (9960945301*s[59])/85536 - 
       (34790606423*s[60])/57024 + (24780942811*s[61])/769824 + s[64]/2 + 
       (5*s[65])/6 + 3*s[66] - (29*s[67])/3 - (4*s[68])/3 - 16*s[69] - 
       7*s[70] + (89*s[71])/12 - 31*s[72] + (41*s[73])/2 + (1543*s[74])/36 - 
       (1465*s[75])/36 + (416*s[76])/9 + (427*s[77])/18 - (187*s[78])/6 - 
       914*s[79] + (3499*s[80])/18 - (2920*s[82])/3 + (11*s[83])/4 - 
       (865*s[84])/2 - (1064*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*((-1655*s[2])/36 - 
       (431*s[3])/6 - (24761*s[4])/9 - (475619*s[5])/198 - 
       (4406749*s[6])/792 - (161659787*s[7])/3168 + (56206285*s[8])/14256 + 
       (56197061*s[9])/1296 + (18266905*s[10])/1296 + 
       (529948981*s[11])/9504 + (287176759*s[12])/4752 + 
       (340968997*s[13])/9504 + (77929903*s[14])/9504 + 
       (59129711*s[15])/864 + (411755441*s[16])/4752 + 
       (645991195*s[17])/9504 + (37244269*s[18])/3888 + (1827584*s[19])/243 + 
       (4429647395*s[20])/42768 + (3238530619*s[21])/85536 - 
       (2300808041*s[22])/85536 - (263175949*s[23])/4752 - 
       (2396575585*s[24])/42768 + (26978589023*s[25])/384912 - 
       (7544177413*s[26])/192456 - (37*s[30])/18 - (134*s[31])/9 + 
       (313*s[32])/36 - 7*s[33] + (65*s[34])/6 + (115*s[35])/18 + 
       (760*s[36])/9 - (2041*s[37])/18 - (4678*s[38])/3 + (57316*s[39])/9 - 
       (65069*s[40])/9 + (102259*s[41])/18 - (164957*s[42])/18 - 
       (567163*s[43])/99 + (19544969*s[44])/3168 - (634971*s[45])/88 + 
       (43034887*s[46])/792 - (18346655*s[47])/9504 - (13095035*s[48])/9504 + 
       (251909165*s[49])/9504 - (8335691*s[50])/198 - (60720307*s[51])/9504 - 
       (47709553*s[52])/9504 + (138412267*s[53])/4752 - (277139*s[54])/396 + 
       (590936065*s[55])/3168 + (469557815*s[56])/9504 - 
       (597741673*s[57])/14256 + (7111350991*s[58])/85536 - 
       (7175679265*s[59])/85536 - (25600622843*s[60])/57024 + 
       (18752575141*s[61])/769824 + s[64]/2 + s[65] + 3*s[66] - 
       (29*s[67])/3 - (10*s[68])/3 - 12*s[69] - (32*s[70])/3 + 
       (17*s[71])/12 - (61*s[72])/3 + (127*s[73])/6 + (1081*s[74])/36 - 
       (979*s[75])/36 + (170*s[76])/9 + (397*s[77])/18 - (49*s[78])/6 - 
       673*s[79] + (3469*s[80])/18 - (4858*s[82])/3 + (11*s[83])/4 - 
       (561*s[84])/2 - (1064*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*((-199*s[2])/6 - 
       (1915*s[3])/6 - (16105*s[4])/6 - (194857*s[5])/88 - (178531*s[6])/33 - 
       (56698223*s[7])/1188 + (1453951*s[8])/396 + (120385*s[9])/3 + 
       (961607*s[10])/72 + (82604387*s[11])/1584 + (29750719*s[12])/528 + 
       (19917575*s[13])/594 + (1509823*s[14])/198 + (13937773*s[15])/216 + 
       (48413507*s[16])/594 + (306545861*s[17])/4752 + (5729201*s[18])/648 + 
       (1218625*s[19])/162 + (172277935*s[20])/1782 + (62952719*s[21])/1782 - 
       (59187599*s[22])/2376 - (242981003*s[23])/4752 - 
       (28072657*s[24])/528 + (1053956345*s[25])/16038 - 
       (2357496101*s[26])/64152 + (4*s[30])/3 - (8*s[31])/3 + (9*s[32])/2 + 
       (131*s[33])/12 - (40*s[34])/3 + (23*s[35])/2 + (1933*s[36])/36 - 
       (191*s[37])/3 - (17443*s[38])/12 + (277801*s[39])/48 - 
       (943423*s[40])/144 + (82785*s[41])/16 - (1181969*s[42])/144 - 
       (8716733*s[43])/1584 + (18132337*s[44])/3168 - (304781*s[45])/44 + 
       (80823767*s[46])/1584 - (14454875*s[47])/9504 - 
       (16538957*s[48])/9504 + (239896565*s[49])/9504 - 
       (15676019*s[50])/396 - (53632405*s[51])/9504 - (41791759*s[52])/9504 + 
       (16398821*s[53])/594 - (22391*s[54])/198 + (561120319*s[55])/3168 + 
       (437351759*s[56])/9504 - (29674561*s[57])/891 + 
       (6528883741*s[58])/85536 - (6652070719*s[59])/85536 - 
       (24210722495*s[60])/57024 + (17647345105*s[61])/769824 - (2*s[64])/3 - 
       (4*s[65])/3 - (8*s[66])/3 + (10*s[67])/3 + 7*s[68] + (2*s[69])/3 - 
       (34*s[70])/3 + (10*s[71])/3 - (53*s[72])/3 - (7*s[73])/2 + 
       (215*s[74])/12 - (229*s[75])/12 + 16*s[76] + (121*s[77])/6 - 
       (11*s[78])/2 - 445*s[79] + (231*s[80])/2 - 1479*s[82] + (7*s[83])/2 - 
       221*s[84] - 344*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*(-6*s[2] - 274*s[3] - 
       (60911*s[4])/24 - (256079*s[5])/132 - (633527*s[6])/132 - 
       (102308215*s[7])/2376 + (12051779*s[8])/3564 + (11737483*s[9])/324 + 
       (1914661*s[10])/162 + (223822249*s[11])/4752 + 
       (242919593*s[12])/4752 + (36182105*s[13])/1188 + (1892137*s[14])/297 + 
       (6263047*s[15])/108 + (173977855*s[16])/2376 + (90966031*s[17])/1584 + 
       (1929455*s[18])/243 + (13061171*s[19])/1944 + (1855908521*s[20])/
        21384 + (674355137*s[21])/21384 - (481243723*s[22])/21384 - 
       (225905131*s[23])/4752 - (2040820055*s[24])/42768 + 
       (5732597047*s[25])/96228 - (6369815915*s[26])/192456 - (7*s[30])/2 + 
       (7*s[31])/3 + (37*s[32])/6 + (89*s[33])/8 - (119*s[34])/6 + 
       (25*s[35])/3 + (941*s[36])/18 - (1147*s[37])/18 - (4235*s[38])/3 + 
       (66983*s[39])/12 - (227983*s[40])/36 + (60157*s[41])/12 - 
       (285557*s[42])/36 - (2077529*s[43])/396 + (4348633*s[44])/792 - 
       (5223451*s[45])/792 + (38651639*s[46])/792 - (3632129*s[47])/2376 - 
       (3660971*s[48])/2376 + (57246251*s[49])/2376 - (7500067*s[50])/198 - 
       (13087483*s[51])/2376 - (10215973*s[52])/2376 + 
       (31292891*s[53])/1188 - (43573*s[54])/198 + (133978285*s[55])/792 + 
       (34857991*s[56])/792 - (2174273*s[57])/66 + (261190205*s[58])/3564 - 
       (531482071*s[59])/7128 - (2894220655*s[60])/7128 + 
       (2800439209*s[61])/128304 - (2*s[64])/3 - (4*s[65])/3 - (8*s[66])/3 + 
       (10*s[67])/3 + 5*s[68] + (14*s[69])/3 - (34*s[70])/3 + (14*s[71])/3 - 
       (46*s[72])/3 + (43*s[73])/3 + (109*s[74])/6 - (115*s[75])/6 + 
       2*s[76] + 18*s[77] + (17*s[78])/3 - (1528*s[79])/3 + (1256*s[80])/9 - 
       1479*s[82] + (7*s[83])/2 - 221*s[84] - 344*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
      (-64*s[2] - 150*s[3] - (31579*s[4])/12 - (234353*s[5])/132 - 
       (105143*s[6])/22 - (8349425*s[7])/198 + (6057593*s[8])/1782 + 
       (2885312*s[9])/81 + (3568033*s[10])/324 + (110284495*s[11])/2376 + 
       (30276203*s[12])/594 + (72959041*s[13])/2376 + (13102741*s[14])/2376 + 
       (5978545*s[15])/108 + (167842843*s[16])/2376 + 
       (127394251*s[17])/2376 + (7948747*s[18])/972 + (5472497*s[19])/972 + 
       (901105397*s[20])/10692 + (656388985*s[21])/21384 - 
       (474180407*s[22])/21384 - (117892325*s[23])/2376 - 
       (974492507*s[24])/21384 + (11335854655*s[25])/192456 - 
       (6272919721*s[26])/192456 - 3*s[28] - (25*s[30])/3 - (76*s[31])/3 - 
       8*s[32] - (121*s[33])/4 + (61*s[34])/3 + (52*s[35])/3 + 
       (343*s[36])/6 - (538*s[37])/9 - (9223*s[38])/6 + (135893*s[39])/24 - 
       (154721*s[40])/24 + (41029*s[41])/8 - (64021*s[42])/8 - 
       (1472171*s[43])/264 + (2881271*s[44])/528 - (2588095*s[45])/396 + 
       (38560241*s[46])/792 - (2224469*s[47])/1584 - (2928227*s[48])/1584 + 
       (38312399*s[49])/1584 - (818757*s[50])/22 - (2939005*s[51])/528 - 
       (7255393*s[52])/1584 + (7667300*s[53])/297 - (185875*s[54])/198 + 
       (87691757*s[55])/528 + (210564415*s[56])/4752 - 
       (129643957*s[57])/3564 + (3179037437*s[58])/42768 - 
       (3216926051*s[59])/42768 - (3834238273*s[60])/9504 + 
       (8254750511*s[61])/384912 + (32*s[63])/3 - s[64]/3 - 6*s[65] - 
       16*s[66] + 32*s[67] + 14*s[68] + (142*s[69])/3 - (146*s[70])/3 + 
       (47*s[71])/3 + (8*s[72])/3 - 63*s[73] + 10*s[74] - (34*s[75])/3 + 
       (112*s[76])/3 + (160*s[77])/3 + 11*s[78] - (1628*s[79])/3 + 
       (397*s[80])/9 - 552*s[82] + (31*s[83])/2 - 335*s[84] - 316*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
      (s[2]/2 - (1213*s[3])/12 - (41849*s[4])/24 - (62621*s[5])/44 - 
       (929801*s[6])/264 - (50975389*s[7])/1584 + (17401343*s[8])/7128 + 
       (8803205*s[9])/324 + (1522859*s[10])/162 + (167078561*s[11])/4752 + 
       (11243140*s[12])/297 + (106408451*s[13])/4752 + 
       (25665581*s[14])/4752 + (18911053*s[15])/432 + (16448627*s[16])/297 + 
       (210252947*s[17])/4752 + (2702417*s[18])/486 + (10956955*s[19])/1944 + 
       (1404612547*s[20])/21384 + (1011195179*s[21])/42768 - 
       (722923315*s[22])/42768 - (37625221*s[23])/1188 - 
       (391540879*s[24])/10692 + (4253233991*s[25])/96228 - 
       (2358600269*s[26])/96228 + (46*s[31])/3 + (2*s[32])/3 + 
       (305*s[33])/12 - 26*s[34] + 29*s[35] + (136*s[36])/3 - 
       (835*s[37])/18 - (2554*s[38])/3 + (42889*s[39])/12 - (16531*s[40])/4 + 
       (13225*s[41])/4 - (20479*s[42])/4 - (144833*s[43])/44 + 
       (963973*s[44])/264 - (1691447*s[45])/396 + (3163682*s[46])/99 - 
       (816121*s[47])/792 - (813415*s[48])/792 + (12442039*s[49])/792 - 
       (276890*s[50])/11 - (969013*s[51])/264 - (2144975*s[52])/792 + 
       (20457445*s[53])/1188 + (133333*s[54])/198 + (29157685*s[55])/264 + 
       (67636747*s[56])/2376 - (18923009*s[57])/891 + 
       (1021504049*s[58])/21384 - (1031976971*s[59])/21384 - 
       (424049897*s[60])/1584 + (2772761591*s[61])/192456 - 4*s[62] + 
       (2*s[64])/3 + (2*s[65])/3 + 4*s[66] - (28*s[67])/3 - 10*s[68] - 
       (32*s[69])/3 - 50*s[70] - (7*s[71])/3 - (38*s[72])/3 + (74*s[73])/3 + 
       (97*s[74])/6 - (91*s[75])/6 - (38*s[76])/3 + (181*s[77])/3 - 
       10*s[78] - 424*s[79] + (1565*s[80])/9 + s[81]/6 - 1452*s[82] + 
       s[83]/2 - 125*s[84] - 316*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u]*((-178*s[2])/3 - (779*s[3])/4 - 
       (28881*s[4])/8 - (310249*s[5])/132 - (1685215*s[6])/264 - 
       (267313495*s[7])/4752 + (31855915*s[8])/7128 + (7683353*s[9])/162 + 
       (4718153*s[10])/324 + (296408047*s[11])/4752 + (81588755*s[12])/1188 + 
       (66127195*s[13])/1584 + (30329251*s[14])/4752 + (10592011*s[15])/144 + 
       (74746279*s[16])/792 + (338821937*s[17])/4752 + (9939851*s[18])/972 + 
       (16407635*s[19])/1944 + (2372865239*s[20])/21384 + 
       (1718760037*s[21])/42768 - (1266575369*s[22])/42768 - 
       (52392781*s[23])/792 - (1313402395*s[24])/21384 + 
       (15328456529*s[25])/192456 - (8366463617*s[26])/192456 - s[28] - 
       2*s[29] + (11*s[30])/3 - (58*s[31])/3 + (17*s[32])/6 + (55*s[33])/12 + 
       (91*s[34])/3 + (94*s[35])/3 + (1238*s[36])/9 - (1631*s[37])/18 - 
       (13339*s[38])/6 + (99461*s[39])/12 - (336035*s[40])/36 + 
       (22069*s[41])/3 - (423673*s[42])/36 - (3005965*s[43])/396 + 
       (6230615*s[44])/792 - (811333*s[45])/99 + (25593341*s[46])/396 - 
       (5879677*s[47])/2376 - (4351579*s[48])/2376 + (81305557*s[49])/2376 - 
       (19600417*s[50])/396 - (19394423*s[51])/2376 - (15792377*s[52])/2376 + 
       (40029457*s[53])/1188 - (171421*s[54])/396 + (169862651*s[55])/792 + 
       (44783921*s[56])/792 - (23872873*s[57])/396 + (721856711*s[58])/7128 - 
       (728502971*s[59])/7128 - (7601141851*s[60])/14256 + 
       (1762152157*s[61])/64152 + 12*s[63] + s[64]/2 - s[65]/6 - 
       (2*s[66])/3 - (32*s[67])/3 - (62*s[68])/3 - (29*s[69])/3 - 
       (218*s[70])/3 + (73*s[71])/6 - (50*s[72])/3 + 4*s[73] + 34*s[74] - 
       (65*s[75])/2 + (58*s[76])/3 + (259*s[77])/3 - (50*s[78])/3 - 
       (2272*s[79])/3 + (1201*s[80])/9 - 572*s[82] + (13*s[83])/2 - 
       387*s[84] - 312*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - w]*((71*s[2])/3 - (2921*s[3])/12 - 
       (29753*s[4])/24 - (53927*s[5])/66 - (620441*s[6])/264 - 
       (102955651*s[7])/4752 + (3931457*s[8])/2376 + (1958909*s[9])/108 + 
       (686665*s[10])/108 + (12542419*s[11])/528 + (20545313*s[12])/792 + 
       (72672755*s[13])/4752 + (1885481*s[14])/528 + (12532501*s[15])/432 + 
       (44027465*s[16])/1188 + (137390413*s[17])/4752 + (46979*s[18])/12 + 
       (811253*s[19])/216 + (35280235*s[20])/792 + (224416441*s[21])/14256 - 
       (160849501*s[22])/14256 - (49689041*s[23])/2376 - 
       (177507251*s[24])/7128 + (240766648*s[25])/8019 - 
       (531005851*s[26])/32076 - (20*s[30])/3 + (80*s[31])/3 - 
       (161*s[32])/6 + (365*s[33])/12 - (178*s[34])/3 + (56*s[35])/3 - 
       (226*s[36])/9 + 42*s[37] - (3437*s[38])/6 + (24427*s[39])/12 - 
       (89717*s[40])/36 + (3837*s[41])/2 - (24334*s[42])/9 - 
       (849547*s[43])/396 + (1739975*s[44])/792 - (441845*s[45])/132 + 
       (2155660*s[46])/99 - (788767*s[47])/2376 - (3137905*s[48])/2376 + 
       (23136193*s[49])/2376 - (6673987*s[50])/396 - (4791263*s[51])/2376 - 
       (3938645*s[52])/2376 + (13642943*s[53])/1188 + (68401*s[54])/396 + 
       (60505315*s[55])/792 + (48883567*s[56])/2376 - (37374179*s[57])/3564 + 
       (686976731*s[58])/21384 - (678448655*s[59])/21384 - 
       (2637973069*s[60])/14256 + (2018964815*s[61])/192456 - 4*s[62] - 
       s[64]/2 - (31*s[65])/6 - (50*s[66])/3 + (82*s[67])/3 + (4*s[68])/3 + 
       (133*s[69])/3 - (134*s[70])/3 + (37*s[71])/6 + (38*s[72])/3 - 
       (106*s[73])/3 - (17*s[74])/6 + (23*s[75])/6 + 8*s[76] + (95*s[77])/3 + 
       (112*s[78])/3 - 324*s[79] + (344*s[80])/3 + s[81]/6 - 1172*s[82] + 
       (43*s[83])/2 - 117*s[84] - 312*s[85]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((59*s[2])/2 - (51*s[3])/4 - (14921*s[4])/8 - 1068*s[5] - 
       (26205*s[6])/8 - (4420513*s[7])/144 + (168193*s[8])/72 + 
       (234605*s[9])/9 + (308263*s[10])/36 + (1642277*s[11])/48 + 
       (454001*s[12])/12 + (3314897*s[13])/144 + (194225*s[14])/48 + 
       (5742749*s[15])/144 + (466274*s[16])/9 + (5571553*s[17])/144 + 
       (283543*s[18])/54 + (1100723*s[19])/216 + (13336069*s[20])/216 + 
       (3167981*s[21])/144 - (7069091*s[22])/432 - (285616*s[23])/9 - 
       (3780635*s[24])/108 + (28090973*s[25])/648 - (15286745*s[26])/648 - 
       2*s[28] - 4*s[29] + 14*s[31] + 11*s[32] + (127*s[33])/4 - 44*s[34] + 
       13*s[35] + (49*s[36])/3 + (287*s[37])/6 - 1115*s[38] + 3868*s[39] - 
       (13951*s[40])/3 + 3743*s[41] - (32377*s[42])/6 - (131612*s[43])/33 + 
       (1085479*s[44])/264 - (301651*s[45])/66 + (2262179*s[46])/66 - 
       (540725*s[47])/792 - (1703513*s[48])/792 + (14392559*s[49])/792 - 
       (886121*s[50])/33 - (3106117*s[51])/792 - (2421427*s[52])/792 + 
       (6949007*s[53])/396 + (48052*s[54])/33 + (10142237*s[55])/88 + 
       (7922903*s[56])/264 - (10557953*s[57])/396 + (41691827*s[58])/792 - 
       (41675287*s[59])/792 - (1394916401*s[60])/4752 + 
       (157613405*s[61])/10692 + 12*s[63] - 7*s[65] - 16*s[66] + 23*s[67] + 
       3*s[68] + 48*s[69] - 121*s[70] + 12*s[71] + 18*s[72] - 18*s[73] + 
       s[74]/2 - (9*s[75])/2 - 31*s[76] + 124*s[77] + 54*s[78] - 640*s[79] + 
       (530*s[80])/3 - 1210*s[82] + 39*s[83] - 210*s[84] - 296*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      (13*s[2] + 81*s[3] - (1273*s[4])/2 - (8387*s[5])/44 - (44123*s[6])/44 - 
       (912159*s[7])/88 + (776123*s[8])/1188 + (478883*s[9])/54 + 
       (341231*s[10])/108 + (9414125*s[11])/792 + (2674015*s[12])/198 + 
       (6555959*s[13])/792 + (1254119*s[14])/792 + (914401*s[15])/72 + 
       (6935653*s[16])/396 + (9611015*s[17])/792 + (113381*s[18])/81 + 
       (701551*s[19])/324 + (76232281*s[20])/3564 + (50291183*s[21])/7128 - 
       (40529029*s[22])/7128 - (1517305*s[23])/198 - (11620115*s[24])/891 + 
       (484248661*s[25])/32076 - (251287567*s[26])/32076 + 21*s[30] + 
       22*s[31] - 16*s[32] + (113*s[33])/4 - 49*s[34] - 47*s[35] - 48*s[36] + 
       (263*s[37])/6 - 438*s[38] + (5029*s[39])/4 - (6733*s[40])/4 + 
       (5575*s[41])/4 - (6529*s[42])/4 - (67471*s[43])/44 + 
       (144801*s[44])/88 - (210449*s[45])/132 + (799411*s[46])/66 + 
       (11541*s[47])/88 - (149521*s[48])/88 + (638401*s[49])/88 - 
       (107925*s[50])/11 - (106989*s[51])/88 - (82585*s[52])/88 + 
       (1125323*s[53])/198 + (46181*s[54])/33 + (3451161*s[55])/88 + 
       (7955107*s[56])/792 - (2401802*s[57])/297 + (129818099*s[58])/7128 - 
       (125609339*s[59])/7128 - (176759987*s[60])/1584 + 
       (39002881*s[61])/8019 - 11*s[62] - 5*s[65] - 12*s[66] + 17*s[67] + 
       9*s[68] + 32*s[69] - 67*s[70] + 7*s[71] + 28*s[72] - 8*s[73] - 
       7*s[74] + 12*s[75] - 12*s[76] + 59*s[77] + 72*s[78] - 440*s[79] + 
       (404*s[80])/3 + s[81]/3 - 1210*s[82] + 39*s[83] - 210*s[84] - 
       296*s[85]) + HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((-775*s[2])/6 - 318*s[3] - (37207*s[4])/8 - (29821*s[5])/12 - 
       (22361*s[6])/3 - (13931615*s[7])/216 + (1912841*s[8])/324 + 
       (8713183*s[9])/162 + (5145535*s[10])/324 + (1924150*s[11])/27 + 
       (34069565*s[12])/432 + (2289851*s[13])/48 + (2477749*s[14])/432 + 
       (6143303*s[15])/72 + (15638761*s[16])/144 + (8828387*s[17])/108 + 
       (22444901*s[18])/1944 + (4553905*s[19])/486 + (122338105*s[20])/972 + 
       (175831039*s[21])/3888 - (131026355*s[22])/3888 - (1986437*s[23])/24 - 
       (135550963*s[24])/1944 + (3219454465*s[25])/34992 - 
       (1742914141*s[26])/34992 - 2*s[28] - 3*s[29] - (103*s[30])/6 + 
       (82*s[31])/3 + (79*s[32])/6 + (1183*s[33])/24 - (131*s[34])/6 + 
       (137*s[35])/3 + (2417*s[36])/18 - (8615*s[37])/36 - (7036*s[38])/3 + 
       (225509*s[39])/24 - (764147*s[40])/72 + (201163*s[41])/24 - 
       (248665*s[42])/18 - (6460777*s[43])/792 + (3439349*s[44])/396 - 
       (6972421*s[45])/792 + (28252537*s[46])/396 - (987685*s[47])/297 - 
       (1574621*s[48])/2376 + (85426595*s[49])/2376 - (10745341*s[50])/198 - 
       (11330525*s[51])/1188 - (18218437*s[52])/2376 + 
       (89455909*s[53])/2376 - (1104641*s[54])/396 + (189591487*s[55])/792 + 
       (51707185*s[56])/792 - (19877383*s[57])/264 + (102428240*s[58])/891 - 
       (103537862*s[59])/891 - (514518935*s[60])/891 + 
       (995657215*s[61])/32076 + 18*s[63] - (22*s[65])/3 - (43*s[66])/3 + 
       (62*s[67])/3 - (127*s[68])/3 + (119*s[69])/3 - (427*s[70])/3 + 
       (37*s[71])/3 - (94*s[72])/3 + 20*s[73] + 35*s[74] - (77*s[75])/2 - 
       (4*s[76])/3 + (632*s[77])/3 - (58*s[78])/3 - (3062*s[79])/3 + 
       (3919*s[80])/18 - 14*s[82] + 16*s[83] - 444*s[84] - 260*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((-71*s[2])/3 - (1537*s[3])/12 - (47549*s[4])/12 - (154603*s[5])/66 - 
       (1821709*s[6])/264 - (138107797*s[7])/2376 + (1526999*s[8])/297 + 
       (10524851*s[9])/216 + (2994883*s[10])/216 + (11327311*s[11])/176 + 
       (113845895*s[12])/1584 + (103087481*s[13])/2376 + (202973*s[14])/33 + 
       (2012408*s[15])/27 + (228830069*s[16])/2376 + (337464701*s[17])/4752 + 
       (625831*s[18])/54 + (505505*s[19])/72 + (135243961*s[20])/1188 + 
       (146220587*s[21])/3564 - (216458911*s[22])/7128 - 
       (354926873*s[23])/4752 - (867485603*s[24])/14256 + 
       (2653347713*s[25])/32076 - (362199257*s[26])/8019 - (11*s[30])/6 - 
       (5*s[31])/3 - (95*s[32])/3 + (623*s[33])/24 - (85*s[34])/6 + 
       (286*s[35])/3 + (2063*s[36])/18 - (1559*s[37])/12 - (14545*s[38])/6 + 
       (218311*s[39])/24 - (733913*s[40])/72 + (63933*s[41])/8 - 
       (117587*s[42])/9 - (6191107*s[43])/792 + (13035329*s[44])/1584 - 
       (775029*s[45])/88 + (13754959*s[46])/198 - (16020607*s[47])/4752 - 
       (4408765*s[48])/4752 + (164378131*s[49])/4752 - (20710799*s[50])/396 - 
       (43958951*s[51])/4752 - (37118507*s[52])/4752 + (21327479*s[53])/594 - 
       (1340419*s[54])/396 + (362989909*s[55])/1584 + 
       (299284873*s[56])/4752 - (515122715*s[57])/7128 + 
       (4779674051*s[58])/42768 - (4750048931*s[59])/42768 - 
       (16020883075*s[60])/28512 + (5866793395*s[61])/192456 + 2*s[64] - 
       (23*s[65])/6 - (46*s[66])/3 + (53*s[67])/3 - (115*s[68])/3 + 
       (128*s[69])/3 - (214*s[70])/3 + (149*s[71])/6 + (10*s[72])/3 - 
       (50*s[73])/3 + (257*s[74])/6 - (257*s[75])/6 + 62*s[76] + 
       (298*s[77])/3 - (34*s[78])/3 - 928*s[79] + (281*s[80])/2 + s[81]/3 - 
       14*s[82] + 16*s[83] - 444*s[84] - 260*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*
      ((-151*s[2])/6 - (351*s[3])/4 - (80723*s[4])/48 - (34423*s[5])/24 - 
       (333161*s[6])/96 - (6627857*s[7])/216 + (6130187*s[8])/2592 + 
       (67220531*s[9])/2592 + (5542279*s[10])/648 + (57865547*s[11])/1728 + 
       (62544295*s[12])/1728 + (18566393*s[13])/864 + (4436239*s[14])/864 + 
       (17849221*s[15])/432 + (45209237*s[16])/864 + (7930013*s[17])/192 + 
       (11232103*s[18])/1944 + (17752957*s[19])/3888 + 
       (242612789*s[20])/3888 + (11126563*s[21])/486 - 
       (31326539*s[22])/1944 - (56861039*s[23])/1728 - 
       (527512249*s[24])/15552 + (5886679979*s[25])/139968 - 
       (3309200597*s[26])/139968 - (5*s[30])/6 - 4*s[31] + (7*s[32])/6 + 
       5*s[33] - (31*s[34])/6 + (9*s[35])/2 + (1285*s[36])/36 - 
       (871*s[37])/24 - (19889*s[38])/24 + (168779*s[39])/48 - 
       (576541*s[40])/144 + (51635*s[41])/16 - (365383*s[42])/72 - 
       (5160131*s[43])/1584 + (5524397*s[44])/1584 - (1103801*s[45])/264 + 
       (49470845*s[46])/1584 - (291493*s[47])/297 - (4552975*s[48])/4752 + 
       (143376815*s[49])/9504 - (4796401*s[50])/198 - (32942311*s[51])/9504 - 
       (3222221*s[52])/1188 + (40059887*s[53])/2376 - (530047*s[54])/1584 + 
       (9521887*s[55])/88 + (271879613*s[56])/9504 - (308253709*s[57])/
        14256 + (4026521275*s[58])/85536 - (4077595843*s[59])/85536 - 
       (14742548753*s[60])/57024 + (10924682047*s[61])/769824 + 
       (11*s[68])/6 - (11*s[69])/6 - (16*s[70])/3 + 2*s[71] - (37*s[72])/3 - 
       (5*s[73])/2 + (83*s[74])/6 - (89*s[75])/6 + 7*s[76] + (31*s[77])/3 - 
       (37*s[78])/6 - (1015*s[79])/3 + (559*s[80])/6 - (4853*s[82])/4 - 
       162*s[84] - 258*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*(-35*s[2] - (2843*s[3])/24 - 
       (44537*s[4])/24 - (904171*s[5])/528 - (1435031*s[6])/352 - 
       (169070587*s[7])/4752 + (25343101*s[8])/9504 + (26011061*s[9])/864 + 
       (1087475*s[10])/108 + (245216291*s[11])/6336 + 
       (263530577*s[12])/6336 + (234624289*s[13])/9504 + 
       (10186835*s[14])/1584 + (20830717*s[15])/432 + 
       (288905867*s[16])/4752 + (922938223*s[17])/19008 + 
       (17362265*s[18])/2592 + (13785433*s[19])/2592 + 
       (2074165123*s[20])/28512 + (255221581*s[21])/9504 - 
       (532059937*s[22])/28512 - (703634983*s[23])/19008 - 
       (2250888293*s[24])/57024 + (8280588775*s[25])/171072 - 
       (4696117177*s[26])/171072 + s[30] - 6*s[31] + (7*s[32])/4 + 
       (29*s[33])/4 - 5*s[34] - (11*s[35])/6 + (185*s[36])/4 - 
       (217*s[37])/6 - (21463*s[38])/24 + (89629*s[39])/24 - 
       (34113*s[40])/8 + (81929*s[41])/24 - (85781*s[42])/16 - 
       (942085*s[43])/264 + (989797*s[44])/264 - (7364909*s[45])/1584 + 
       (54067259*s[46])/1584 - (768989*s[47])/792 - (1850125*s[48])/1584 + 
       (12944297*s[49])/792 - (2330105*s[50])/88 - (362918*s[51])/99 - 
       (2273245*s[52])/792 + (88110127*s[53])/4752 - (140659*s[54])/396 + 
       (188795663*s[55])/1584 + (149148173*s[56])/4752 - 
       (303423083*s[57])/14256 + (2175157771*s[58])/42768 - 
       (2211137431*s[59])/42768 - (168377801*s[60])/594 + 
       (11987792783*s[61])/769824 + (11*s[68])/6 - (11*s[69])/6 - 
       (16*s[70])/3 + 2*s[71] - (43*s[72])/3 - (11*s[73])/2 + 
       (161*s[74])/12 - (179*s[75])/12 + (28*s[76])/3 + (28*s[77])/3 - 
       (11*s[78])/2 - (1073*s[79])/3 + (1795*s[80])/18 - (4703*s[82])/4 - 
       162*s[84] - 258*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[v, w, u]*
      ((80*s[3])/3 + 128*s[4] - (9688*s[5])/33 - (6516*s[6])/11 - 
       (186160*s[7])/33 + (11036*s[8])/297 + (134092*s[9])/27 + 
       (69776*s[10])/27 + (606634*s[11])/99 + (607190*s[12])/99 + 
       (352300*s[13])/99 + (266704*s[14])/99 + (70496*s[15])/9 + 
       (1022536*s[16])/99 + (911302*s[17])/99 + (60668*s[18])/81 + 
       (127708*s[19])/81 + (11885860*s[20])/891 + (4337836*s[21])/891 - 
       (2730884*s[22])/891 + (166834*s[23])/99 - (7037918*s[24])/891 + 
       (56040502*s[25])/8019 - (34265578*s[26])/8019 + (32*s[32])/3 + 
       64*s[37] - (176*s[38])/3 - (8*s[39])/3 - (376*s[40])/3 + 88*s[41] + 
       (800*s[42])/3 - (1528*s[43])/3 + (1732*s[44])/3 - 1224*s[45] + 
       (17984*s[46])/3 + (6004*s[47])/9 - (15596*s[48])/9 + (26756*s[49])/9 - 
       (15568*s[50])/3 + (1388*s[51])/9 + (2564*s[52])/9 + (29704*s[53])/9 + 
       1472*s[54] + (216028*s[55])/9 + (15964*s[56])/3 + (85160*s[57])/9 + 
       (48124*s[58])/9 - 5604*s[59] - (1647022*s[60])/27 + 
       (750328*s[61])/243 + (64*s[68])/3 - (64*s[69])/3 + (64*s[77])/3 - 
       1440*s[82] - 256*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[v, u, w]*
      ((-64*s[2])/3 + (256*s[3])/3 + 312*s[4] - (28*s[6])/3 - 
       (16456*s[7])/27 - (20908*s[8])/81 + (51236*s[9])/81 + 
       (97408*s[10])/81 + (12274*s[11])/27 - (3982*s[12])/27 - 
       (2212*s[13])/9 + (49132*s[14])/27 + (15008*s[15])/9 + (5932*s[16])/3 + 
       (84638*s[17])/27 - (122432*s[18])/243 + (257192*s[19])/243 + 
       (757096*s[20])/243 + (197800*s[21])/243 - (101288*s[22])/243 + 
       (63194*s[23])/9 - (688478*s[24])/243 - (94910*s[25])/2187 - 
       (182254*s[26])/2187 + (64*s[30])/3 - (64*s[34])/3 - (256*s[35])/3 - 
       (448*s[36])/9 + (976*s[37])/9 + (560*s[38])/3 - (2848*s[39])/3 + 
       (7264*s[40])/9 - (1792*s[41])/3 + (14168*s[42])/9 + (1792*s[43])/9 - 
       (1828*s[44])/9 - (5392*s[45])/9 + 416*s[46] + (27332*s[47])/27 - 
       (43420*s[48])/27 - (16448*s[49])/27 - (9824*s[50])/9 + 
       (24736*s[51])/27 + (27892*s[52])/27 + (6512*s[53])/9 + 
       (3992*s[54])/3 + (72284*s[55])/9 + (30464*s[56])/27 + 
       (1471672*s[57])/81 - (1019984*s[58])/243 + (915944*s[59])/243 - 
       (1332008*s[60])/81 + (1928896*s[61])/2187 + (64*s[68])/3 - 
       (64*s[69])/3 - (32*s[74])/3 + (32*s[75])/3 - (128*s[76])/3 + 
       (64*s[77])/3 + (128*s[78])/3 - (256*s[79])/3 + (896*s[80])/9 - 
       1248*s[82] - 256*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*((-461*s[2])/12 - 
       (199*s[3])/8 - (95407*s[4])/48 - (258877*s[5])/264 - 
       (1603567*s[6])/528 - (90571837*s[7])/3168 + (33989113*s[8])/14256 + 
       (1950851*s[9])/81 + (595330*s[10])/81 + (302154121*s[11])/9504 + 
       (20963813*s[12])/594 + (205160821*s[13])/9504 + 
       (21556075*s[14])/9504 + (32034293*s[15])/864 + 
       (226567991*s[16])/4752 + (335288023*s[17])/9504 + 
       (9438113*s[18])/1944 + (17819621*s[19])/3888 + 
       (2372108801*s[20])/42768 + (1658826799*s[21])/85536 - 
       (1293345887*s[22])/85536 - (161563417*s[23])/4752 - 
       (1346790397*s[24])/42768 + (3959809385*s[25])/96228 - 
       (522635669*s[26])/24057 - (11*s[30])/6 - (40*s[31])/3 + 
       (19*s[32])/12 - (367*s[33])/24 + (56*s[34])/3 + (31*s[35])/6 + 
       (1613*s[36])/36 - (1007*s[37])/36 - (4439*s[38])/4 + 
       (201851*s[39])/48 - (691205*s[40])/144 + (184339*s[41])/48 - 
       (859225*s[42])/144 - (558317*s[43])/144 + (582941*s[44])/144 - 
       (153499*s[45])/36 + (1612853*s[46])/48 - (492937*s[47])/432 - 
       (57527*s[48])/54 + (952649*s[49])/54 - (470113*s[50])/18 - 
       (1781537*s[51])/432 - (362471*s[52])/108 + (282005*s[53])/16 + 
       (1445*s[54])/24 + (8104279*s[55])/72 + (6345535*s[56])/216 - 
       (38545793*s[57])/1296 + (202764541*s[58])/3888 - 
       (204914047*s[59])/3888 - (362402075*s[60])/1296 + 
       (249130025*s[61])/17496 + s[64] - (7*s[65])/6 - (26*s[66])/3 + 
       (31*s[67])/3 + (37*s[68])/3 + (49*s[69])/3 - (26*s[70])/3 + 
       (33*s[71])/4 - (17*s[72])/3 + (35*s[73])/3 + (63*s[74])/4 - 
       (49*s[75])/4 + (68*s[76])/3 + (151*s[77])/6 + 9*s[78] - 
       (1609*s[79])/3 + (2089*s[80])/18 - 481*s[82] + (31*s[83])/2 - 
       259*s[84] - 256*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*((-47*s[2])/2 - 
       (1081*s[3])/24 - (25647*s[4])/16 - (125673*s[5])/88 - 
       (1749917*s[6])/528 - (148238111*s[7])/4752 + (4009235*s[8])/1782 + 
       (34323491*s[9])/1296 + (11772943*s[10])/1296 + 
       (162135287*s[11])/4752 + (43745683*s[12])/1188 + (8662591*s[13])/396 + 
       (12743917*s[14])/2376 + (6049799*s[15])/144 + (7029377*s[16])/132 + 
       (200027395*s[17])/4752 + (21739573*s[18])/3888 + 
       (20063387*s[19])/3888 + (682491647*s[20])/10692 + 
       (496046731*s[21])/21384 - (703436923*s[22])/42768 - 
       (48488573*s[23])/1584 - (1514425525*s[24])/42768 + 
       (16442256953*s[25])/384912 - (2294555171*s[26])/96228 + (35*s[30])/6 + 
       (5*s[31])/3 + (11*s[32])/3 + (67*s[33])/6 - (35*s[34])/3 + 
       (43*s[35])/3 + (469*s[36])/18 - (77*s[37])/9 - 980*s[38] + 
       (43723*s[39])/12 - (149999*s[40])/36 + (26617*s[41])/8 - 
       (366365*s[42])/72 - (1390153*s[43])/396 + (2930747*s[44])/792 - 
       (3508333*s[45])/792 + (8609105*s[46])/264 - (2014585*s[47])/2376 - 
       (3344419*s[48])/2376 + (77415113*s[49])/4752 - (2521027*s[50])/99 - 
       (17410159*s[51])/4752 - (6741533*s[52])/2376 + (2293475*s[53])/132 + 
       (97231*s[54])/264 + (44417561*s[55])/396 + (137584681*s[56])/4752 - 
       (18534394*s[57])/891 + (2078344655*s[58])/42768 - 
       (2098780001*s[59])/42768 - (7821135323*s[60])/28512 + 
       (1390946507*s[61])/96228 - (2*s[65])/3 - (8*s[66])/3 + (10*s[67])/3 + 
       (10*s[68])/3 + (10*s[69])/3 - (62*s[70])/3 + (29*s[71])/6 - 
       (10*s[72])/3 + 10*s[73] + (44*s[74])/3 - (73*s[75])/6 - (16*s[76])/3 + 
       (67*s[77])/3 + (32*s[78])/3 - 392*s[79] + (956*s[80])/9 - 1007*s[82] + 
       (25*s[83])/2 - 161*s[84] - 256*s[85]) + HPL[{1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*((-27*s[2])/2 - 
       (103*s[3])/4 - (9979*s[4])/8 - (51927*s[5])/44 - (234211*s[6])/88 - 
       (12802891*s[7])/528 + (4379993*s[8])/2376 + (2227205*s[9])/108 + 
       (185854*s[10])/27 + (41543675*s[11])/1584 + (5546213*s[12])/198 + 
       (26395241*s[13])/1584 + (6875771*s[14])/1584 + (4801171*s[15])/144 + 
       (4084133*s[16])/99 + (52671401*s[17])/1584 + (1382659*s[18])/324 + 
       (2553211*s[19])/648 + (353063335*s[20])/7128 + 
       (256815137*s[21])/14256 - (181367977*s[22])/14256 - 
       (2322895*s[23])/99 - (97462969*s[24])/3564 + (528215899*s[25])/16038 - 
       (296678515*s[26])/16038 - 10*s[30] - 2*s[31] + 3*s[32] - 
       (27*s[33])/4 - 10*s[34] - 13*s[35] + (208*s[36])/3 + (43*s[37])/2 - 
       718*s[38] + (11547*s[39])/4 - (39409*s[40])/12 + (10665*s[41])/4 - 
       (48971*s[42])/12 - (392159*s[43])/132 + (95180*s[44])/33 - 
       (169115*s[45])/44 + (913304*s[46])/33 - (126785*s[47])/198 - 
       (403027*s[48])/396 + (2604599*s[49])/198 - (1429921*s[50])/66 - 
       (1139075*s[51])/396 - (855797*s[52])/396 + (6100543*s[53])/396 - 
       (14471*s[54])/66 + (13070911*s[55])/132 + (4946363*s[56])/198 - 
       (13266643*s[57])/1188 + (140858375*s[58])/3564 - 
       (145388849*s[59])/3564 - (552594613*s[60])/2376 + 
       (200143285*s[61])/16038 - s[62] - 2*s[65] - 8*s[66] + 12*s[67] + 
       4*s[68] + 20*s[69] + 6*s[70] + s[71] - 6*s[72] - 2*s[73] + 
       (15*s[74])/2 - (15*s[75])/2 - 6*s[76] - s[77] + 2*s[78] - 240*s[79] + 
       55*s[80] - 876*s[82] + 6*s[83] - 156*s[84] - 248*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      (5*s[2] - (65*s[3])/2 - 1787*s[4] - (28359*s[5])/22 - (32767*s[6])/11 - 
       (7896179*s[7])/264 + (1498505*s[8])/594 + (2729633*s[9])/108 + 
       (226405*s[10])/27 + (25688287*s[11])/792 + (6937193*s[12])/198 + 
       (16306465*s[13])/792 + (3257581*s[14])/792 + (2958677*s[15])/72 + 
       (20228927*s[16])/396 + (32066875*s[17])/792 + (1709347*s[18])/324 + 
       (1595411*s[19])/324 + (215207735*s[20])/3564 + 
       (153733075*s[21])/7128 - (111976835*s[22])/7128 - 
       (12869455*s[23])/396 - (119177383*s[24])/3564 + 
       (2638212925*s[25])/64152 - (1447237669*s[26])/64152 - 7*s[30] - 
       6*s[31] + 11*s[32] + (47*s[33])/4 - 15*s[34] + 6*s[35] + 
       (169*s[36])/3 - (163*s[37])/6 - 899*s[38] + (14677*s[39])/4 - 
       (49915*s[40])/12 + (13589*s[41])/4 - (63293*s[42])/12 - 
       (462917*s[43])/132 + (951163*s[44])/264 - (603707*s[45])/132 + 
       (1113241*s[46])/33 - (768677*s[47])/792 - (717131*s[48])/792 + 
       (12695267*s[49])/792 - (884006*s[50])/33 - (2932159*s[51])/792 - 
       (2158861*s[52])/792 + (3740299*s[53])/198 + (8867*s[54])/66 + 
       (31886981*s[55])/264 + (8046559*s[56])/264 - (576701*s[57])/33 + 
       (116851723*s[58])/2376 - (120697231*s[59])/2376 - 
       (1344071315*s[60])/4752 + (162695011*s[61])/10692 - 2*s[65] - 
       8*s[66] + 12*s[67] + 4*s[68] + 20*s[69] + 4*s[70] + 2*s[71] - 
       16*s[72] - 32*s[73] + 13*s[74] - 13*s[75] - 12*s[76] + 2*s[77] - 
       4*s[78] - 400*s[79] + (341*s[80])/3 - 876*s[82] + 6*s[83] - 
       156*s[84] - 248*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*((-79*s[2])/2 - 
       (1141*s[3])/12 - (4249*s[4])/2 - (227329*s[5])/132 - 
       (1117697*s[6])/264 - (59543455*s[7])/1584 + (6999217*s[8])/2376 + 
       (3435169*s[9])/108 + (1103783*s[10])/108 + (16309243*s[11])/396 + 
       (70952999*s[12])/1584 + (14103569*s[13])/528 + (9005389*s[14])/1584 + 
       (7214375*s[15])/144 + (16820369*s[16])/264 + (19637765*s[17])/396 + 
       (4674667*s[18])/648 + (3437135*s[19])/648 + (270230029*s[20])/3564 + 
       (397586971*s[21])/14256 - (281876741*s[22])/14256 - 
       (7469941*s[23])/176 - (584551199*s[24])/14256 + 
       (415851796*s[25])/8019 - (465861899*s[26])/16038 - s[30]/2 - 
       11*s[31] + 4*s[32] - (3*s[33])/8 + (15*s[34])/2 + 8*s[35] + 
       (151*s[36])/2 - (517*s[37])/6 - (3655*s[38])/3 + (60005*s[39])/12 - 
       (67639*s[40])/12 + 4455*s[41] - (86863*s[42])/12 - (198883*s[43])/44 + 
       (1254229*s[44])/264 - (1395961*s[45])/264 + (10820569*s[46])/264 - 
       (50125*s[47])/33 - (45717*s[48])/44 + (1807097*s[49])/88 - 
       (2080549*s[50])/66 - (3888649*s[51])/792 - (1047143*s[52])/264 + 
       (5758561*s[53])/264 - (75263*s[54])/132 + (27463969*s[55])/198 + 
       (9781847*s[56])/264 - (14179163*s[57])/396 + (75679915*s[58])/1188 - 
       (152878679*s[59])/2376 - (33287215*s[60])/99 + 
       (777021541*s[61])/42768 - 3*s[70] + 3*s[71] - 18*s[72] + 
       (41*s[74])/2 - (41*s[75])/2 + 20*s[76] + 8*s[77] - 15*s[78] - 
       462*s[79] + 112*s[80] - 920*s[82] - 216*s[84] - 240*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((-233*s[2])/6 + (29*s[3])/9 - (58385*s[4])/36 - (1000829*s[5])/792 - 
       (557269*s[6])/176 - (68401331*s[7])/2376 + (32215547*s[8])/14256 + 
       (31698127*s[9])/1296 + (5117809*s[10])/648 + (299328869*s[11])/9504 + 
       (325123147*s[12])/9504 + (5387665*s[13])/264 + (5140705*s[14])/1188 + 
       (346196*s[15])/9 + (77328197*s[16])/1584 + (361738081*s[17])/9504 + 
       (20672897*s[18])/3888 + (16443811*s[19])/3888 + 
       (620916733*s[20])/10692 + (449975531*s[21])/21384 - 
       (650851187*s[22])/42768 - (100289461*s[23])/3168 - 
       (2700521107*s[24])/85536 + (30598231727*s[25])/769824 - 
       (16936759811*s[26])/769824 - (10*s[30])/3 - 10*s[31] + 
       (109*s[32])/18 - (9*s[33])/4 + (26*s[34])/3 + (4*s[35])/3 + 
       (145*s[36])/3 - (257*s[37])/9 - (13997*s[38])/18 + (119315*s[39])/36 - 
       (135779*s[40])/36 + (36337*s[41])/12 - (349067*s[42])/72 - 
       (1154207*s[43])/396 + (5085155*s[44])/1584 - (335785*s[45])/99 + 
       (10691255*s[46])/396 - (4792751*s[47])/4752 - (2875583*s[48])/4752 + 
       (64689569*s[49])/4752 - (694879*s[50])/33 - (15974107*s[51])/4752 - 
       (12232555*s[52])/4752 + (34414345*s[53])/2376 - (28745*s[54])/132 + 
       (435924245*s[55])/4752 + (114477203*s[56])/4752 - 
       (163866565*s[57])/7128 + (1776362749*s[58])/42768 - 
       (1798520209*s[59])/42768 - (6337066679*s[60])/28512 + 
       (4547084425*s[61])/384912 + (2*s[64])/3 + (5*s[65])/3 + 4*s[66] - 
       (16*s[67])/3 + (25*s[68])/9 - (106*s[69])/9 - (2*s[70])/3 + 
       (5*s[71])/3 - (40*s[72])/3 + (14*s[73])/3 + (56*s[74])/3 - 17*s[75] + 
       (20*s[76])/3 + (112*s[77])/9 - (52*s[78])/3 - 398*s[79] + 
       (938*s[80])/9 - (5543*s[82])/6 + 2*s[83] - 194*s[84] - 
       (712*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((-1873*s[2])/36 - (3589*s[3])/72 - 
       (90719*s[4])/48 - (328895*s[5])/198 - (1594897*s[6])/396 - 
       (1019474365*s[7])/28512 + (57812441*s[8])/21384 + 
       (117995837*s[9])/3888 + (9787285*s[10])/972 + (555932837*s[11])/
        14256 + (1199044223*s[12])/28512 + (238308205*s[13])/9504 + 
       (173653837*s[14])/28512 + (41597201*s[15])/864 + 
       (72320443*s[16])/1188 + (343384247*s[17])/7128 + 
       (77098165*s[18])/11664 + (31374619*s[19])/5832 + 
       (9335244557*s[20])/128304 + (6837915955*s[21])/256608 - 
       (4832381417*s[22])/256608 - (354283427*s[23])/9504 - 
       (10165345181*s[24])/256608 + (113035934773*s[25])/2309472 - 
       (63447083245*s[26])/2309472 - (38*s[30])/9 - 15*s[31] + (29*s[32])/3 - 
       (83*s[33])/24 + (80*s[34])/9 + (457*s[35])/18 + (6599*s[36])/108 - 
       (2161*s[37])/54 - (3393*s[38])/4 + (56993*s[39])/16 - 
       (1755287*s[40])/432 + (51843*s[41])/16 - (2225239*s[42])/432 - 
       (15416293*s[43])/4752 + (33448175*s[44])/9504 - (1178447*s[45])/297 + 
       (48127913*s[46])/1584 - (28605361*s[47])/28512 - 
       (24749575*s[48])/28512 + (429701119*s[49])/28512 - 
       (28105573*s[50])/1188 - (101229947*s[51])/28512 - 
       (78450917*s[52])/28512 + (38854787*s[53])/2376 - (45215*s[54])/198 + 
       (991433165*s[55])/9504 + (780368837*s[56])/28512 - 
       (61123996*s[57])/2673 + (11842575199*s[58])/256608 - 
       (12010602877*s[59])/256608 - (43014609145*s[60])/171072 + 
       (31241519569*s[61])/2309472 + (2*s[64])/3 + (5*s[65])/3 + 4*s[66] - 
       (16*s[67])/3 + (25*s[68])/9 - (106*s[69])/9 - (8*s[70])/3 + s[71]/6 - 
       (38*s[72])/3 + (19*s[73])/6 + (166*s[74])/9 - (317*s[75])/18 + 
       (196*s[76])/9 + (118*s[77])/9 - (263*s[78])/18 - (3349*s[79])/9 + 
       (4861*s[80])/54 - (5201*s[82])/6 + 2*s[83] - 194*s[84] - 
       (712*s[85])/3) + HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((-2743*s[2])/36 - (1081*s[3])/8 - 
       (186649*s[4])/48 - (4466359*s[5])/1584 - (11349365*s[6])/1584 - 
       (914244415*s[7])/14256 + (110397733*s[8])/21384 + 
       (210816007*s[9])/3888 + (32736709*s[10])/1944 + 
       (2018685233*s[11])/28512 + (2214573655*s[12])/28512 + 
       (110796325*s[13])/2376 + (28960435*s[14])/3564 + (1014979*s[15])/12 + 
       (171334805*s[16])/1584 + (2357890261*s[17])/28512 + 
       (34345991*s[18])/2916 + (111086647*s[19])/11664 + 
       (8187989639*s[20])/64152 + (5919651649*s[21])/128304 - 
       (4334402663*s[22])/128304 - (704236475*s[23])/9504 - 
       (17979047689*s[24])/256608 + (104007710041*s[25])/1154736 - 
       (56968376335*s[26])/1154736 - (191*s[30])/18 - (256*s[31])/9 + 
       (34*s[32])/9 - (137*s[33])/9 + (701*s[34])/18 + (977*s[35])/18 + 
       (3605*s[36])/27 - (18397*s[37])/108 - (20132*s[38])/9 + 
       (317999*s[39])/36 - (1066133*s[40])/108 + (556109*s[41])/72 - 
       (5488381*s[42])/432 - (9100495*s[43])/1188 + (39289123*s[44])/4752 - 
       (19948619*s[45])/2376 + (160473991*s[46])/2376 - 
       (43593659*s[47])/14256 - (15799739*s[48])/14256 + 
       (62761909*s[49])/1782 - (61527295*s[50])/1188 - 
       (63206009*s[51])/7128 - (100232191*s[52])/14256 + 
       (252417137*s[53])/7128 - (274174*s[54])/297 + (265980709*s[55])/1188 + 
       (15674369*s[56])/264 - (945931865*s[57])/14256 + 
       (4555652867*s[58])/42768 - (4582044491*s[59])/42768 - 
       (11829512303*s[60])/21384 + (3715237201*s[61])/128304 - (5*s[62])/3 + 
       s[64]/3 + (35*s[65])/18 + (76*s[66])/9 - (179*s[67])/9 - 
       (242*s[68])/9 - (203*s[69])/9 - (329*s[70])/9 + (25*s[71])/18 - 
       (329*s[72])/9 + 44*s[73] + (175*s[74])/4 - (171*s[75])/4 + 
       (469*s[76])/9 + (731*s[77])/18 - (482*s[78])/9 - (7408*s[79])/9 + 
       (11603*s[80])/54 + s[81]/6 - 771*s[82] + (17*s[83])/3 - 334*s[84] - 
       (692*s[85])/3) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((-425*s[2])/18 - (6959*s[3])/36 - 
       (118709*s[4])/72 - (1264459*s[5])/1584 - (1084261*s[6])/396 - 
       (20707141*s[7])/891 + (1164527*s[8])/594 + (4202087*s[9])/216 + 
       (2501581*s[10])/432 + (61197281*s[11])/2376 + (30309073*s[12])/1056 + 
       (499925449*s[13])/28512 + (23722271*s[14])/9504 + 
       (9692161*s[15])/324 + (1100177257*s[16])/28512 + 
       (201717545*s[17])/7128 + (17565107*s[18])/3888 + (723490*s[19])/243 + 
       (489767041*s[20])/10692 + (1399793743*s[21])/85536 - 
       (347260679*s[22])/28512 - (25787695*s[23])/891 - 
       (178060087*s[24])/7128 + (25528731805*s[25])/769824 - 
       (13870240381*s[26])/769824 - 3*s[28] - 7*s[29] - (59*s[30])/9 - 
       (40*s[31])/9 - (55*s[32])/9 - (415*s[33])/36 - (79*s[34])/9 + 
       (62*s[35])/9 + (398*s[36])/27 - (265*s[37])/4 - (19211*s[38])/18 + 
       (277727*s[39])/72 - (966013*s[40])/216 + (41831*s[41])/12 - 
       (2356921*s[42])/432 - (8853323*s[43])/2376 + (35214917*s[44])/9504 - 
       (3500857*s[45])/792 + (38848075*s[46])/1188 - (29032027*s[47])/28512 - 
       (35349679*s[48])/28512 + (456124411*s[49])/28512 - 
       (14688611*s[50])/594 - (108743621*s[51])/28512 - 
       (92351801*s[52])/28512 + (241964933*s[53])/14256 - 
       (2737831*s[54])/2376 + (1047969289*s[55])/9504 + 
       (863256793*s[56])/28512 - (1210394705*s[57])/42768 + 
       (13176772127*s[58])/256608 - (13164998219*s[59])/256608 - 
       (46280673781*s[60])/171072 + (8313005783*s[61])/577368 + 
       (22*s[63])/3 + (4*s[64])/3 - (109*s[65])/18 - (170*s[66])/9 + 
       (301*s[67])/9 + (13*s[68])/9 + (490*s[69])/9 - (302*s[70])/9 + 
       (217*s[71])/18 + (80*s[72])/9 - (316*s[73])/9 + (41*s[74])/9 - 
       (73*s[75])/18 + 25*s[76] + (179*s[77])/9 + (385*s[78])/9 - 
       (1537*s[79])/3 + (1321*s[80])/18 - 581*s[82] + (74*s[83])/3 - 
       296*s[84] - (692*s[85])/3) + HPL[{0, 1, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u]*((-33*s[2])/2 - (29*s[3])/2 - (9971*s[4])/4 - 
       (102159*s[5])/88 - (339287*s[6])/88 - (3146021*s[7])/88 + 
       (2364965*s[8])/792 + (2173243*s[9])/72 + (664313*s[10])/72 + 
       (10556047*s[11])/264 + (11798801*s[12])/264 + (3624719*s[13])/132 + 
       (94943*s[14])/33 + (136055*s[15])/3 + (15697621*s[16])/264 + 
       (5706299*s[17])/132 + (1294259*s[18])/216 + (156455*s[19])/27 + 
       (41162347*s[20])/594 + (56832877*s[21])/2376 - (22533481*s[22])/1188 - 
       (10960739*s[23])/264 - (93999479*s[24])/2376 + 
       (2219826065*s[25])/42768 - (1160171609*s[26])/42768 - 3*s[30] + 
       5*s[32] - 15*s[33] - 6*s[34] + 21*s[35] + 63*s[36] - (191*s[37])/4 - 
       (2747*s[38])/2 + (21289*s[39])/4 - (24545*s[40])/4 + (9695*s[41])/2 - 
       (30345*s[42])/4 - (204579*s[43])/44 + (116229*s[44])/22 - 
       (423541*s[45])/88 + (3515077*s[46])/88 - (99325*s[47])/66 - 
       (158555*s[48])/132 + (720179*s[49])/33 - (339180*s[50])/11 - 
       (359647*s[51])/66 - (584371*s[52])/132 + (1780611*s[53])/88 - 
       (11203*s[54])/44 + (4253036*s[55])/33 + (2267681*s[56])/66 - 
       (4164862*s[57])/99 + (151079821*s[58])/2376 - (37474753*s[59])/594 - 
       (525406597*s[60])/1584 + (705330875*s[61])/42768 - 18*s[70] + 
       (3*s[71])/2 - 6*s[72] + 44*s[73] + 39*s[74] - (27*s[75])/2 + 6*s[76] + 
       21*s[77] - 6*s[78] - 768*s[79] + (477*s[80])/2 - 360*s[82] + 
       27*s[83] - 378*s[84] - 228*s[85]) + HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w]*(21*s[2] - (167*s[3])/2 - (6353*s[4])/2 - 
       (89695*s[5])/88 - (362149*s[6])/88 - (5203475*s[7])/132 + 
       (8819071*s[8])/2376 + (7112447*s[9])/216 + (2038501*s[10])/216 + 
       (4400299*s[11])/99 + (40092139*s[12])/792 + (24603719*s[13])/792 + 
       (768011*s[14])/792 + (3531205*s[15])/72 + (51411725*s[16])/792 + 
       (35812781*s[17])/792 + (4304683*s[18])/648 + (2003527*s[19])/324 + 
       (132526073*s[20])/1782 + (44265065*s[21])/1782 - 
       (148844353*s[22])/7128 - (41261833*s[23])/792 - 
       (303220657*s[24])/7128 + (7536418129*s[25])/128304 - 
       (3809808397*s[26])/128304 + 6*s[29] - 12*s[30] + 12*s[31] + 9*s[32] - 
       (15*s[33])/2 - 12*s[34] + 24*s[35] + 126*s[36] - (1315*s[37])/12 - 
       1661*s[38] + 6578*s[39] - 7569*s[40] + 5943*s[41] - (38059*s[42])/4 - 
       (59637*s[43])/11 + (560023*s[44])/88 - (1416155*s[45])/264 + 
       (12297689*s[46])/264 - (568913*s[47])/264 - (217001*s[48])/264 + 
       (6774527*s[49])/264 - (1585203*s[50])/44 - (1830757*s[51])/264 - 
       (1467043*s[52])/264 + (18616093*s[53])/792 - (24224*s[54])/33 + 
       (39168637*s[55])/264 + (31486979*s[56])/792 - (16611220*s[57])/297 + 
       (135219109*s[58])/1782 - (534943645*s[59])/7128 - 
       (33706205*s[60])/88 + (2437643591*s[61])/128304 + 4*s[64] + 
       (9*s[65])/2 + 4*s[66] - 12*s[67] - 16*s[69] - 21*s[70] - 3*s[71] - 
       12*s[72] + 66*s[73] + (105*s[74])/2 - 27*s[75] - 6*s[76] + 51*s[77] + 
       2*s[78] - 976*s[79] + (1985*s[80])/6 - 360*s[82] + 27*s[83] - 
       378*s[84] - 228*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v]*((-134*s[2])/3 - (683*s[3])/6 - 
       (8897*s[4])/3 - (120611*s[5])/66 - (673133*s[6])/132 - 
       (4442276*s[7])/99 + (3363619*s[8])/891 + (12216185*s[9])/324 + 
       (3688111*s[10])/324 + (29451919*s[11])/594 + (129988919*s[12])/2376 + 
       (78279205*s[13])/2376 + (11588347*s[14])/2376 + (1587358*s[15])/27 + 
       (178806673*s[16])/2376 + (16865258*s[17])/297 + (4048097*s[18])/486 + 
       (6198095*s[19])/972 + (472352539*s[20])/5346 + 
       (678622963*s[21])/21384 - (503849213*s[22])/21384 - 
       (32667977*s[23])/594 - (258553679*s[24])/5346 + 
       (12224526517*s[25])/192456 - (6645421351*s[26])/192456 - 
       (59*s[30])/3 - (46*s[31])/3 - (10*s[32])/3 - (133*s[33])/12 + 
       (61*s[34])/3 + (148*s[35])/3 + (824*s[36])/9 - (668*s[37])/9 - 
       (5120*s[38])/3 + (20120*s[39])/3 - (67832*s[40])/9 + (36005*s[41])/6 - 
       (347659*s[42])/36 - (603214*s[43])/99 + (1253831*s[44])/198 - 
       (1341583*s[45])/198 + (3531745*s[46])/66 - (2497391*s[47])/1188 - 
       (1528511*s[48])/1188 + (8106614*s[49])/297 - (8121119*s[50])/198 - 
       (3981671*s[51])/594 - (3174269*s[52])/594 + (11206549*s[53])/396 - 
       (11549*s[54])/11 + (71189581*s[55])/396 + (14226118*s[56])/297 - 
       (42070687*s[57])/891 + (888455255*s[58])/10692 - 
       (449242765*s[59])/5346 - (781752695*s[60])/1782 + 
       (4486044001*s[61])/192456 - (5*s[62])/3 + (2*s[64])/3 - s[65] - 
       (8*s[66])/3 - (10*s[67])/3 - 10*s[68] + (10*s[69])/3 - 34*s[70] + 
       (31*s[71])/3 - (64*s[72])/3 + 8*s[73] + (80*s[74])/3 - (85*s[75])/3 + 
       (64*s[76])/3 + (122*s[77])/3 - (68*s[78])/3 - 628*s[79] + 
       (1196*s[80])/9 + s[81]/6 - 378*s[82] + (11*s[83])/2 - 295*s[84] - 
       228*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*((-307*s[2])/12 - (5231*s[3])/24 - 
       (110303*s[4])/48 - (44149*s[5])/24 - (109471*s[6])/24 - 
       (1275711*s[7])/32 + (998455*s[8])/324 + (43483813*s[9])/1296 + 
       (7162525*s[10])/648 + (18803537*s[11])/432 + (40627343*s[12])/864 + 
       (24228871*s[13])/864 + (5438269*s[14])/864 + (46511437*s[15])/864 + 
       (14678443*s[16])/216 + (11608585*s[17])/216 + (29074691*s[18])/3888 + 
       (2940053*s[19])/486 + (313296605*s[20])/3888 + 
       (229972243*s[21])/7776 - (162015353*s[22])/7776 - 
       (37584041*s[23])/864 - (342279065*s[24])/7776 + 
       (3834989335*s[25])/69984 - (2150738875*s[26])/69984 - 3*s[30] - 
       (13*s[31])/3 + 19*s[32] + (377*s[33])/24 - (23*s[34])/3 + 32*s[35] + 
       (2387*s[36])/36 - (827*s[37])/12 - (4091*s[38])/4 + 
       (201703*s[39])/48 - (677297*s[40])/144 + (180857*s[41])/48 - 
       (871501*s[42])/144 - (6035107*s[43])/1584 + (12679613*s[44])/3168 - 
       (151801*s[45])/33 + (55864597*s[46])/1584 - (12080323*s[47])/9504 - 
       (7950901*s[48])/9504 + (166493641*s[49])/9504 - (10830001*s[50])/396 - 
       (39285749*s[51])/9504 - (31067567*s[52])/9504 + 
       (45178645*s[53])/2376 - (105527*s[54])/396 + (383434319*s[55])/3168 + 
       (301852939*s[56])/9504 - (24254345*s[57])/891 + 
       (4601879801*s[58])/85536 - (4673151251*s[59])/85536 - 
       (16566826519*s[60])/57024 + (12114212075*s[61])/769824 - s[62]/6 - 
       (2*s[64])/3 + s[65]/3 + 4*s[66] - (20*s[67])/3 - 2*s[68] - 7*s[69] - 
       (32*s[70])/3 + (3*s[71])/2 - 14*s[72] + (115*s[73])/6 + 
       (103*s[74])/6 - 19*s[75] + 12*s[76] + (41*s[77])/3 - (73*s[78])/6 - 
       (1019*s[79])/3 + (238*s[80])/3 - (1927*s[82])/2 - 4*s[83] - 
       184*s[84] - 228*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*((-62*s[2])/3 - (769*s[3])/4 - 
       (45845*s[4])/24 - (4186*s[5])/3 - (168557*s[6])/48 - 
       (13426901*s[7])/432 + (3278977*s[8])/1296 + (33763057*s[9])/1296 + 
       (680390*s[10])/81 + (29375929*s[11])/864 + (31893797*s[12])/864 + 
       (3170491*s[13])/144 + (1851419*s[14])/432 + (6038491*s[15])/144 + 
       (2540441*s[16])/48 + (35873801*s[17])/864 + (22207787*s[18])/3888 + 
       (18804949*s[19])/3888 + (60513047*s[20])/972 + (87866627*s[21])/3888 - 
       (31505087*s[22])/1944 - (10131835*s[23])/288 - 
       (266306789*s[24])/7776 + (3020691139*s[25])/69984 - 
       (1669881283*s[26])/69984 + 2*s[30] - (4*s[31])/3 - s[32] + 
       (19*s[33])/6 - (11*s[34])/3 + 24*s[35] + (305*s[36])/6 - 
       (302*s[37])/9 - (1837*s[38])/2 + (15013*s[39])/4 - (49961*s[40])/12 + 
       (40015*s[41])/12 - (129889*s[42])/24 - (39787*s[43])/12 + 
       (168475*s[44])/48 - (287219*s[45])/72 + (2213699*s[46])/72 - 
       (59177*s[47])/48 - (21649*s[48])/48 + (736907*s[49])/48 - 
       (71351*s[50])/3 - (533323*s[51])/144 - (139981*s[52])/48 + 
       (3593743*s[53])/216 - (10091*s[54])/36 + (15216425*s[55])/144 + 
       (11894065*s[56])/432 - (15722231*s[57])/648 + (182880425*s[58])/3888 - 
       (186312719*s[59])/3888 - (218023637*s[60])/864 + 
       (238035733*s[61])/17496 - (2*s[64])/3 + s[65]/3 + 4*s[66] - 
       (20*s[67])/3 - 2*s[68] - 7*s[69] - (26*s[70])/3 + (5*s[71])/3 - 
       (56*s[72])/3 + s[73] + (52*s[74])/3 - 19*s[75] + (26*s[76])/3 + 
       17*s[77] - (89*s[78])/3 - 254*s[79] + (371*s[80])/9 - (1813*s[82])/2 - 
       4*s[83] - 184*s[84] - 228*s[85]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((43*s[2])/4 - (591*s[3])/8 - (7057*s[4])/16 - (283*s[5])/88 - 
       (153397*s[6])/176 - (6798403*s[7])/1056 + (2182451*s[8])/4752 + 
       (143704*s[9])/27 + (113623*s[10])/54 + (22784207*s[11])/3168 + 
       (6277681*s[12])/792 + (15440681*s[13])/3168 + (4404431*s[14])/3168 + 
       (2384287*s[15])/288 + (8805527*s[16])/792 + (26997593*s[17])/3168 + 
       (146581*s[18])/162 + (1698079*s[19])/1296 + (191103235*s[20])/14256 + 
       (128394197*s[21])/28512 - (97014733*s[22])/28512 - 
       (1667291*s[23])/396 - (58092355*s[24])/7128 + (1152902845*s[25])/
        128304 - (620505757*s[26])/128304 - 2*s[28] + 2*s[29] - (3*s[30])/2 + 
       20*s[31] + 5*s[32] + (119*s[33])/4 - (95*s[34])/2 + (11*s[35])/2 - 
       24*s[36] + (1261*s[37])/12 - (201*s[38])/2 + (427*s[39])/2 - 
       536*s[40] + (2231*s[41])/4 - 271*s[42] - (16175*s[43])/22 + 
       (107963*s[44])/176 - (340657*s[45])/264 + (1930639*s[46])/264 + 
       (168403*s[47])/528 - (706229*s[48])/528 + (1527767*s[49])/528 - 
       (65565*s[50])/11 - (79807*s[51])/176 - (125251*s[52])/528 + 
       (747575*s[53])/198 + (37633*s[54])/66 + (4687191*s[55])/176 + 
       (11781323*s[56])/1584 + (3471761*s[57])/2376 + 
       (135319051*s[58])/14256 - (128585089*s[59])/14256 - 
       (71648129*s[60])/1056 + (483819865*s[61])/128304 + 22*s[63] - 
       3*s[65] - 10*s[66] + 19*s[67] + 6*s[68] + 18*s[69] - 104*s[70] + 
       8*s[71] + 11*s[72] + 5*s[73] - (33*s[74])/4 + (21*s[75])/4 - 
       15*s[76] + (237*s[77])/2 + 39*s[78] - 240*s[79] + (337*s[80])/6 - 
       678*s[82] + (39*s[83])/2 - 51*s[84] - 228*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      (13*s[2] - 11*s[3] + (1655*s[4])/2 + (6802*s[5])/11 + (54375*s[6])/44 + 
       (9466379*s[7])/792 - (457903*s[8])/396 - (364781*s[9])/36 - 
       (90805*s[10])/36 - (289753*s[11])/22 - (3869507*s[12])/264 - 
       (7084267*s[13])/792 - (23123*s[14])/88 - (1118087*s[15])/72 - 
       (3852601*s[16])/198 - (5651083*s[17])/396 - (43667*s[18])/18 - 
       (15131*s[19])/12 - (2204372*s[20])/99 - (19618037*s[21])/2376 + 
       (14974187*s[22])/2376 + (15043757*s[23])/792 + (27459167*s[24])/2376 - 
       (91972673*s[25])/5346 + (49432301*s[26])/5346 + 23*s[30] + 22*s[31] - 
       13*s[32] + (115*s[33])/4 - 50*s[34] - 44*s[35] - 103*s[36] + 
       (499*s[37])/3 + 551*s[38] - 2455*s[39] + 2579*s[40] - (3871*s[41])/2 + 
       3639*s[42] + (18951*s[43])/11 - (89217*s[44])/44 + (92429*s[45])/66 - 
       (935333*s[46])/66 + (12587*s[47])/11 - (9380*s[48])/11 - 
       (88801*s[49])/11 + (117289*s[50])/11 + (53363*s[51])/22 + 
       (87347*s[52])/44 - (1500553*s[53])/198 + (60517*s[54])/66 - 
       (3004285*s[55])/66 - (1145806*s[56])/99 + (6492556*s[57])/297 - 
       (21516104*s[58])/891 + (22225745*s[59])/891 + (43110373*s[60])/396 - 
       (43632221*s[61])/8019 - 7*s[62] - 4*s[65] - 12*s[66] + 20*s[67] + 
       6*s[68] + 24*s[69] - 52*s[70] + 6*s[71] + 24*s[72] - 24*s[73] - 
       19*s[74] + 20*s[75] + 7*s[76] + 46*s[77] + 44*s[78] + 144*s[79] - 
       (187*s[80])/3 + s[81]/3 - 678*s[82] + (39*s[83])/2 - 51*s[84] - 
       228*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - v]*((175*s[2])/3 - (469*s[3])/3 + (2669*s[4])/6 + 
       (19443*s[5])/44 + (94913*s[6])/132 + (1810879*s[7])/264 - 
       (314855*s[8])/594 - (163586*s[9])/27 - (33001*s[10])/27 - 
       (6269719*s[11])/792 - (883117*s[12])/99 - (4495873*s[13])/792 + 
       (194489*s[14])/792 - (611489*s[15])/72 - (4365197*s[16])/396 - 
       (5940235*s[17])/792 - (89584*s[18])/81 - (70007*s[19])/81 - 
       (43416413*s[20])/3564 - (33339397*s[21])/7128 + 
       (26809649*s[22])/7128 + (4161799*s[23])/396 + (24014503*s[24])/3564 - 
       (663778873*s[25])/64152 + (349597891*s[26])/64152 - 5*s[28] - 
       4*s[29] - 2*s[30] + (116*s[31])/3 - (74*s[32])/3 + (62*s[33])/3 - 
       (254*s[34])/3 - (20*s[35])/3 - (2009*s[36])/18 + (356*s[37])/3 + 
       (2783*s[38])/6 - (43165*s[39])/24 + (125435*s[40])/72 - 
       (31703*s[41])/24 + (193765*s[42])/72 + (873409*s[43])/792 - 
       (2110601*s[44])/1584 - (3745*s[45])/132 - (4417045*s[46])/792 + 
       (4639675*s[47])/4752 - (4435787*s[48])/4752 - (26490265*s[49])/4752 + 
       (820225*s[50])/198 + (8082377*s[51])/4752 + (6597959*s[52])/4752 - 
       (3078085*s[53])/1188 - (12559*s[54])/198 - (19297303*s[55])/1584 - 
       (11164411*s[56])/4752 + (17034382*s[57])/891 - 
       (493680953*s[58])/42768 + (522337763*s[59])/42768 + 
       (1134879007*s[60])/28512 - (323880869*s[61])/384912 + (32*s[63])/3 - 
       s[64]/3 - 7*s[65] - (62*s[66])/3 + 38*s[67] + 16*s[68] + 
       (166*s[69])/3 - 42*s[70] + (22*s[71])/3 + (80*s[72])/3 - 
       (151*s[73])/3 - (71*s[74])/3 + (56*s[75])/3 - (100*s[76])/3 + 
       (116*s[77])/3 + (211*s[78])/3 - (130*s[79])/3 + (151*s[80])/3 - 
       978*s[82] + (41*s[83])/2 - 25*s[84] - 228*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*
      ((-395*s[2])/12 - (1117*s[3])/24 - (204509*s[4])/144 - 
       (1885303*s[5])/1584 - (2253005*s[6])/792 - (164136617*s[7])/6336 + 
       (57498481*s[8])/28512 + (56922953*s[9])/2592 + (18494581*s[10])/2592 + 
       (33638197*s[11])/1188 + (291801901*s[12])/9504 + 
       (43395725*s[13])/2376 + (18984223*s[14])/4752 + (6665347*s[15])/192 + 
       (836399815*s[16])/19008 + (327613031*s[17])/9504 + 
       (9424495*s[18])/1944 + (29743955*s[19])/7776 + 
       (1119932045*s[20])/21384 + (51026488*s[21])/2673 - 
       (1167534457*s[22])/85536 - (540256115*s[23])/19008 - 
       (4865689133*s[24])/171072 + (54944018581*s[25])/1539648 - 
       (30590997421*s[26])/1539648 - (7*s[30])/6 - 12*s[31] + (14*s[32])/3 - 
       (32*s[33])/3 + (85*s[34])/6 - (5*s[35])/6 + (625*s[36])/12 - 
       (563*s[37])/12 - (8170*s[38])/9 + (138109*s[39])/36 - 
       (39283*s[40])/9 + (124967*s[41])/36 - (16601*s[42])/3 - 
       (1403257*s[43])/396 + (23859523*s[44])/6336 - (784151*s[45])/176 + 
       (5885637*s[46])/176 - (20475533*s[47])/19008 - 
       (18911465*s[48])/19008 + (309918689*s[49])/19008 - 
       (20534341*s[50])/792 - (23915677*s[51])/6336 - 
       (56457595*s[52])/19008 + (6345151*s[53])/352 - (32783*s[54])/99 + 
       (2189911499*s[55])/19008 + (577567723*s[56])/19008 - 
       (349940149*s[57])/14256 + (8678807303*s[58])/171072 - 
       (8787552251*s[59])/171072 - (31505282375*s[60])/114048 + 
       (11613193201*s[61])/769824 + s[65]/3 + (4*s[66])/3 - 2*s[67] + 
       (4*s[68])/3 - (16*s[69])/3 + (4*s[70])/3 + (5*s[71])/3 - 15*s[72] - 
       (7*s[73])/2 + (185*s[74])/12 - (65*s[75])/4 + (46*s[76])/3 + 
       (43*s[77])/6 - (97*s[78])/6 - (1109*s[79])/3 + (874*s[80])/9 - 
       (1957*s[82])/2 - s[83] - 154*s[84] - 220*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((-667*s[2])/9 - (287*s[3])/18 - (244381*s[4])/72 - 
       (2217335*s[5])/792 - (283799*s[6])/44 - (1699206659*s[7])/28512 + 
       (201358933*s[8])/42768 + (196971551*s[9])/3888 + 
       (62017327*s[10])/3888 + (930563921*s[11])/14256 + 
       (1012159315*s[12])/14256 + (75586949*s[13])/1782 + 
       (119550977*s[14])/14256 + (206531695*s[15])/2592 + 
       (2871609689*s[16])/28512 + (31006361*s[17])/396 + 
       (129294439*s[18])/11664 + (12606439*s[19])/1458 + 
       (15345931925*s[20])/128304 + (5614398773*s[21])/128304 - 
       (504334859*s[22])/16038 - (1926315535*s[23])/28512 - 
       (16644995399*s[24])/256608 + (190507590013*s[25])/2309472 - 
       (105835167121*s[26])/2309472 - (31*s[30])/6 - (271*s[31])/9 + 
       (83*s[32])/6 - (511*s[33])/24 + (307*s[34])/6 + 31*s[35] + 
       (4004*s[36])/27 - (22835*s[37])/108 - 1873*s[38] + (22778*s[39])/3 - 
       (228338*s[40])/27 + (119329*s[41])/18 - (297859*s[42])/27 - 
       (1943911*s[43])/297 + (66631949*s[44])/9504 - (17407729*s[45])/2376 + 
       (46414825*s[46])/792 - (75560263*s[47])/28512 - 
       (17344567*s[48])/28512 + (854583229*s[49])/28512 - 
       (13427110*s[50])/297 - (217810211*s[51])/28512 - 
       (173061677*s[52])/28512 + (148639355*s[53])/4752 - 
       (268591*s[54])/264 + (625530065*s[55])/3168 + (1480649387*s[56])/
        28512 - (1178014787*s[57])/21384 + (23580405187*s[58])/256608 - 
       (23902930591*s[59])/256608 - (81946567471*s[60])/171072 + 
       (29150597345*s[61])/1154736 + (5*s[64])/6 + (53*s[65])/18 + 
       (76*s[66])/9 - (182*s[67])/9 - (113*s[68])/9 - (236*s[69])/9 - 
       (53*s[70])/9 + (19*s[71])/18 - (88*s[72])/3 + (484*s[73])/9 + 
       (373*s[74])/9 - (689*s[75])/18 + (296*s[76])/9 + 15*s[77] - 
       (371*s[78])/9 - (6413*s[79])/9 + (9001*s[80])/54 - 720*s[82] - 
       (29*s[83])/6 - 339*s[84] - (656*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      (-42*s[2] - (577*s[3])/6 - (13315*s[4])/6 - (213749*s[5])/132 - 
       (177049*s[6])/44 - (28665151*s[7])/792 + (3478709*s[8])/1188 + 
       (1650767*s[9])/54 + (1036331*s[10])/108 + (31359329*s[11])/792 + 
       (17062343*s[12])/396 + (20382247*s[13])/792 + (3773711*s[14])/792 + 
       (1166071*s[15])/24 + (12120349*s[16])/198 + (12563563*s[17])/264 + 
       (2179757*s[18])/324 + (855659*s[19])/162 + (257859511*s[20])/3564 + 
       (187823927*s[21])/7128 - (135421543*s[22])/7128 - 
       (8344805*s[23])/198 - (140323499*s[24])/3564 + 
       (1611896551*s[25])/32076 - (446014979*s[26])/16038 - s[30] - 
       10*s[31] - (5*s[32])/3 - (3*s[33])/4 + 7*s[34] + 16*s[35] + 
       (214*s[36])/3 - (380*s[37])/9 - (3509*s[38])/3 + 4648*s[39] - 
       (15712*s[40])/3 + (12614*s[41])/3 - 6665*s[42] - (144407*s[43])/33 + 
       (1174433*s[44])/264 - (527174*s[45])/99 + (3948701*s[46])/99 - 
       (1012927*s[47])/792 - (821791*s[48])/792 + (15566461*s[49])/792 - 
       (1022855*s[50])/33 - (3585055*s[51])/792 - (2864993*s[52])/792 + 
       (6449209*s[53])/297 - (23873*s[54])/198 + (36535153*s[55])/264 + 
       (85393393*s[56])/2376 - (101498009*s[57])/3564 + 
       (1288127729*s[58])/21384 - (1319168819*s[59])/21384 - 
       (522065737*s[60])/1584 + (3411839543*s[61])/192456 - (2*s[64])/3 - 
       (2*s[65])/3 + 2*s[67] + (8*s[68])/3 + (4*s[69])/3 - (26*s[70])/3 + 
       (29*s[71])/3 - 16*s[72] - 10*s[73] + (49*s[74])/3 - (56*s[75])/3 + 
       (64*s[76])/3 + (22*s[77])/3 - 14*s[78] - 402*s[79] + (404*s[80])/9 - 
       348*s[82] + (3*s[83])/2 - 221*s[84] - 212*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((295*s[2])/6 - (379*s[3])/12 + (17809*s[4])/24 - (1831*s[5])/66 + 
       (37929*s[6])/88 + (22122709*s[7])/4752 - (516475*s[8])/792 - 
       (45793*s[9])/12 - (530*s[10])/9 - (9318169*s[11])/1584 - 
       (84189*s[12])/11 - (25146197*s[13])/4752 + (3981275*s[14])/1584 - 
       (1814539*s[15])/432 - (7615313*s[16])/1188 - (9139597*s[17])/4752 - 
       (179321*s[18])/324 - (381599*s[19])/648 - (41196905*s[20])/7128 - 
       (19474547*s[21])/14256 + (12090929*s[22])/4752 + 
       (13815931*s[23])/1188 + (403220*s[24])/99 - (573535933*s[25])/64152 + 
       (224039383*s[26])/64152 + 2*s[30] + 30*s[31] - (4*s[32])/3 + 
       (141*s[33])/4 - (202*s[34])/3 + (2*s[35])/3 - (1127*s[36])/18 + 
       (221*s[37])/3 + (2543*s[38])/6 - (32671*s[39])/24 + 
       (103721*s[40])/72 - (25553*s[41])/24 + (138319*s[42])/72 + 
       (64361*s[43])/72 - (139891*s[44])/144 + (693*s[45])/4 - 
       (315845*s[46])/72 + (316409*s[47])/432 - (280429*s[48])/432 - 
       (1656407*s[49])/432 + (26470*s[50])/9 + (604291*s[51])/432 + 
       (560353*s[52])/432 - (44711*s[53])/27 + (10849*s[54])/18 - 
       (407755*s[55])/48 - (1003733*s[56])/432 + (5551061*s[57])/324 - 
       (39426379*s[58])/3888 + (38420377*s[59])/3888 + 
       (80709305*s[60])/2592 - (25977247*s[61])/34992 - (2*s[64])/3 - 
       (2*s[65])/3 + 4*s[67] + (8*s[68])/3 + (10*s[69])/3 - (38*s[70])/3 - 
       s[71] + 4*s[72] - (85*s[73])/3 - 10*s[74] + (25*s[75])/3 - 
       (82*s[76])/3 + (16*s[77])/3 + (85*s[78])/3 + (304*s[79])/3 + 
       (65*s[80])/3 - 1458*s[82] + (3*s[83])/2 + 19*s[84] - 212*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((-170*s[2])/3 - (371*s[3])/4 - (62845*s[4])/24 - (101171*s[5])/66 - 
       (1143155*s[6])/264 - (20344055*s[7])/528 + (23396083*s[8])/7128 + 
       (10483393*s[9])/324 + (781793*s[10])/81 + (202914619*s[11])/4752 + 
       (56168555*s[12])/1188 + (136033549*s[13])/4752 + 
       (16542667*s[14])/4752 + (21680753*s[15])/432 + 
       (153231869*s[16])/2376 + (229162897*s[17])/4752 + 
       (6869993*s[18])/972 + (10730387*s[19])/1944 + (1606989311*s[20])/
        21384 + (1148883205*s[21])/42768 - (866866409*s[22])/42768 - 
       (114525187*s[23])/2376 - (887301595*s[24])/21384 + 
       (10575192227*s[25])/192456 - (5684913149*s[26])/192456 - 
       (11*s[30])/3 - (62*s[31])/3 - s[32]/6 - (63*s[33])/4 + (79*s[34])/3 + 
       (32*s[35])/3 + (305*s[36])/3 - (1265*s[37])/18 - (4394*s[38])/3 + 
       (23461*s[39])/4 - (79055*s[40])/12 + (63137*s[41])/12 - 
       (33741*s[42])/4 - (689369*s[43])/132 + (721693*s[44])/132 - 
       (2338775*s[45])/396 + (9197407*s[46])/198 - (736955*s[47])/396 - 
       (181285*s[48])/198 + (4679833*s[49])/198 - (1177852*s[50])/33 - 
       (2293067*s[51])/396 - (937631*s[52])/198 + (7305058*s[53])/297 - 
       (127895*s[54])/198 + (30815111*s[55])/198 + (12278951*s[56])/297 - 
       (154850951*s[57])/3564 + (194609395*s[58])/2673 - 
       (785090731*s[59])/10692 - (100177619*s[60])/264 + 
       (3895432085*s[61])/192456 - 4*s[70] + (23*s[71])/3 - 24*s[72] + 
       2*s[73] + (73*s[74])/3 - (76*s[75])/3 + 35*s[76] + (32*s[77])/3 - 
       24*s[78] - 508*s[79] + (770*s[80])/9 - 370*s[82] - (3*s[83])/4 - 
       (495*s[84])/2 - 204*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u]*(-47*s[2] - (93*s[3])/2 - (16729*s[4])/8 - 
       (67283*s[5])/44 - (173805*s[6])/44 - (9299995*s[7])/264 + 
       (1124039*s[8])/396 + (1072279*s[9])/36 + (335573*s[10])/36 + 
       (20484133*s[11])/528 + (22449821*s[12])/528 + (3369887*s[13])/132 + 
       (152353*s[14])/33 + 46335*s[15] + (3916633*s[16])/66 + 
       (7986725*s[17])/176 + (1428997*s[18])/216 + (538663*s[19])/108 + 
       (166871345*s[20])/2376 + (15135899*s[21])/594 - 
       (44143471*s[22])/2376 - (21492157*s[23])/528 - 
       (182044319*s[24])/4752 + (526649425*s[25])/10692 - 
       (289781863*s[26])/10692 - s[30]/2 - 17*s[31] + 7*s[32] - 
       (75*s[33])/8 + (39*s[34])/2 + 5*s[35] + 76*s[36] - (201*s[37])/2 - 
       1179*s[38] + (38745*s[39])/8 - (43721*s[40])/8 + (34559*s[41])/8 - 
       (55929*s[42])/8 - (378011*s[43])/88 + (805669*s[44])/176 - 
       (441711*s[45])/88 + (1719317*s[46])/44 - (817831*s[47])/528 - 
       (453709*s[48])/528 + (10324279*s[49])/528 - (330098*s[50])/11 - 
       (2547227*s[51])/528 - (2059991*s[52])/528 + (1359907*s[53])/66 - 
       (29591*s[54])/44 + (69125129*s[55])/528 + (6195691*s[56])/176 - 
       (800829*s[57])/22 + (97207595*s[58])/1584 - (97445639*s[59])/1584 - 
       (1012830463*s[60])/3168 + (122866859*s[61])/7128 + 3*s[71] - 
       18*s[72] + (41*s[74])/2 - (41*s[75])/2 + 26*s[76] + 5*s[77] - 
       18*s[78] - 468*s[79] + 109*s[80] - 711*s[82] - 216*s[84] - 
       204*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - w]*((-79*s[2])/2 - (249*s[3])/4 - (4175*s[4])/2 - 
       (33625*s[5])/22 - (171715*s[6])/44 - (6158721*s[7])/176 + 
       (1122961*s[8])/396 + (2130925*s[9])/72 + (331549*s[10])/36 + 
       (20312951*s[11])/528 + (11120867*s[12])/264 + (13365269*s[13])/528 + 
       (2413283*s[14])/528 + (2217239*s[15])/48 + (15552979*s[16])/264 + 
       (23858843*s[17])/528 + (353141*s[18])/54 + (536333*s[19])/108 + 
       (82795511*s[20])/1188 + (120088865*s[21])/4752 - 
       (87612961*s[22])/4752 - (10725371*s[23])/264 - (45088963*s[24])/1188 + 
       (2091490619*s[25])/42768 - (1150785635*s[26])/42768 - (7*s[30])/2 - 
       17*s[31] + 7*s[32] - (111*s[33])/8 + (45*s[34])/2 + 5*s[35] + 
       (159*s[36])/2 - 100*s[37] - 1202*s[38] + (19533*s[39])/4 - 
       (22031*s[40])/4 + (17279*s[41])/4 - (14119*s[42])/2 - 
       (191893*s[43])/44 + (405469*s[44])/88 - (444989*s[45])/88 + 
       (3460557*s[46])/88 - (51133*s[47])/33 - (112957*s[48])/132 + 
       (5222381*s[49])/264 - (665003*s[50])/22 - (1283893*s[51])/264 - 
       (1033279*s[52])/264 + (1837941*s[53])/88 - (30779*s[54])/44 + 
       (17508259*s[55])/132 + (9326707*s[56])/264 - (13956299*s[57])/396 + 
       (36427709*s[58])/594 - (147020381*s[59])/2376 - 
       (255298009*s[60])/792 + (738391717*s[61])/42768 + 3*s[70] + 3*s[71] - 
       18*s[72] + 22*s[74] - 22*s[75] + 26*s[76] + 5*s[77] - 21*s[78] - 
       474*s[79] + 109*s[80] - 675*s[82] - 216*s[84] - 204*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - v]*
      ((29*s[2])/2 - (141*s[3])/2 + 84*s[4] - (21139*s[5])/44 - 
       (202703*s[6])/264 - (7103153*s[7])/1188 + (1498903*s[8])/7128 + 
       (3303449*s[9])/648 + (862997*s[10])/324 + (28325623*s[11])/4752 + 
       (25892111*s[12])/4752 + (6437683*s[13])/2376 + (8515889*s[14])/2376 + 
       (1028269*s[15])/108 + (13529201*s[16])/1188 + (6069839*s[17])/528 + 
       (2595175*s[18])/1944 + (2072021*s[19])/1944 + (159956011*s[20])/
        10692 + (128945213*s[21])/21384 - (32645477*s[22])/10692 - 
       (3651745*s[23])/4752 - (321406769*s[24])/42768 + 
       (2428977829*s[25])/384912 - (1794145657*s[26])/384912 - s[29] + 
       (4*s[30])/3 + (41*s[31])/3 + (5*s[32])/6 + (59*s[33])/4 - 
       (101*s[34])/3 + (20*s[35])/3 - (199*s[36])/9 + (248*s[37])/9 + 
       (329*s[38])/6 + (45*s[39])/2 - (2281*s[40])/18 + (701*s[41])/6 - 
       (311*s[42])/18 - (62747*s[43])/198 + (278273*s[44])/792 - 
       (487291*s[45])/396 + (2506673*s[46])/396 + (613535*s[47])/2376 - 
       (2086657*s[48])/2376 + (4021603*s[49])/2376 - (2068243*s[50])/396 - 
       (183407*s[51])/2376 + (319675*s[52])/2376 + (9127955*s[53])/2376 + 
       (65809*s[54])/198 + (7035223*s[55])/264 + (5605309*s[56])/792 + 
       (7953071*s[57])/1188 + (16302467*s[58])/2376 - (1831295*s[59])/264 - 
       (814672843*s[60])/14256 + (249868109*s[61])/64152 - s[64]/2 + 
       s[65]/6 + s[66] - 2*s[67] + 2*s[68] - 4*s[69] - (26*s[70])/3 - 
       3*s[71] - 7*s[73] - (8*s[74])/3 + s[75]/6 - (50*s[76])/3 + 
       (19*s[77])/3 + 7*s[78] - 34*s[79] + (523*s[80])/9 - 1330*s[82] - 
       (3*s[83])/4 - (15*s[84])/2 - 204*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((-791*s[2])/18 - (2077*s[3])/24 - (446629*s[4])/144 - 
       (1465291*s[5])/792 - (7905907*s[6])/1584 - (1031189*s[7])/22 + 
       (28011871*s[8])/7128 + (51248233*s[9])/1296 + (15581609*s[10])/1296 + 
       (246408997*s[11])/4752 + (272559395*s[12])/4752 + 
       (164679355*s[13])/4752 + (20856235*s[14])/4752 + 
       (13243963*s[15])/216 + (186392021*s[16])/2376 + 
       (279028153*s[17])/4752 + (32844149*s[18])/3888 + 
       (27340927*s[19])/3888 + (491421401*s[20])/5346 + 
       (1400083009*s[21])/42768 - (528381115*s[22])/21384 - 
       (134590915*s[23])/2376 - (1090183603*s[24])/21384 + 
       (25660557085*s[25])/384912 - (6899912255*s[26])/192456 - 
       (58*s[30])/9 - (106*s[31])/9 - (22*s[32])/9 - (145*s[33])/24 + 
       (83*s[34])/6 + (118*s[35])/9 + (296*s[36])/3 - (1153*s[37])/18 - 
       (11095*s[38])/6 + (127345*s[39])/18 - (143545*s[40])/18 + 
       (455741*s[41])/72 - (724865*s[42])/72 - (116995*s[43])/18 + 
       (241793*s[44])/36 - (259313*s[45])/36 + (507824*s[46])/9 - 
       (18296*s[47])/9 - (26395*s[48])/18 + (4241347*s[49])/144 - 
       (392963*s[50])/9 - (999877*s[51])/144 - (100843*s[52])/18 + 
       (6475367*s[53])/216 - (8143*s[54])/72 + (1524427*s[55])/8 + 
       (21266765*s[56])/432 - (15446375*s[57])/324 + (337829725*s[58])/3888 - 
       (343647253*s[59])/3888 - (134458765*s[60])/288 + 
       (841634539*s[61])/34992 - (4*s[65])/3 - (16*s[66])/3 + (26*s[67])/3 + 
       (22*s[68])/3 + 10*s[69] - 10*s[70] + (29*s[71])/3 - (38*s[72])/3 - 
       (10*s[73])/3 + (254*s[74])/9 - (239*s[75])/9 + (220*s[76])/9 + 
       (112*s[77])/9 - (14*s[78])/3 - (2068*s[79])/3 + (1175*s[80])/9 - 
       (770*s[82])/3 + (25*s[83])/2 - 285*s[84] - (592*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((395*s[2])/36 + (647*s[3])/24 - (24055*s[4])/144 - (51709*s[5])/792 - 
       (324373*s[6])/1584 - (3543083*s[7])/1056 + (3193337*s[8])/14256 + 
       (932029*s[9])/324 + (110894*s[10])/81 + (34422371*s[11])/9504 + 
       (18077339*s[12])/4752 + (19995005*s[13])/9504 + (8583731*s[14])/9504 + 
       (4115029*s[15])/864 + (28882063*s[16])/4752 + (47639981*s[17])/9504 + 
       (410753*s[18])/972 + (3490765*s[19])/3888 + (321469903*s[20])/42768 + 
       (204583019*s[21])/85536 - (156989215*s[22])/85536 - 
       (679795*s[23])/594 - (95303767*s[24])/21384 + (856336709*s[25])/
        192456 - (449541173*s[26])/192456 + s[29] + (32*s[30])/9 + 
       (5*s[31])/9 + (101*s[32])/36 - (103*s[33])/4 - (91*s[34])/6 - 
       (67*s[35])/18 - (647*s[36])/36 + (443*s[37])/36 - (697*s[38])/4 + 
       (108419*s[39])/144 - (46141*s[40])/48 + (116023*s[41])/144 - 
       (49961*s[42])/48 - (446695*s[43])/528 + (530473*s[44])/528 - 
       (312997*s[45])/264 + (13521269*s[46])/1584 + (75395*s[47])/4752 - 
       (949165*s[48])/1188 + (10398161*s[49])/2376 - (472339*s[50])/66 - 
       (3775031*s[51])/4752 - (1068223*s[52])/2376 + (22070179*s[53])/4752 + 
       (68427*s[54])/88 + (24306677*s[55])/792 + (4355225*s[56])/594 - 
       (19841533*s[57])/14256 + (493172921*s[58])/42768 - 
       (498862073*s[59])/42768 - (1098511037*s[60])/14256 + 
       (1443284525*s[61])/384912 + s[64] - (4*s[66])/3 - s[67]/3 + 
       (37*s[68])/3 - 5*s[69] - 7*s[70] - (43*s[71])/12 + 7*s[72] + 
       (44*s[73])/3 + (101*s[74])/36 - (5*s[75])/36 - (56*s[76])/9 + 
       (425*s[77])/18 + (65*s[78])/3 - (622*s[79])/3 + (1637*s[80])/18 - 
       (3248*s[82])/3 + (19*s[83])/2 - 91*s[84] - (592*s[85])/3) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((-3*s[2])/4 - (405*s[3])/8 + (8933*s[4])/16 + (3527*s[5])/16 + 
       (3873*s[6])/8 + (575689*s[7])/96 - (47771*s[8])/72 - 
       (739213*s[9])/144 - (133517*s[10])/144 - (660109*s[11])/96 - 
       (192815*s[12])/24 - (164653*s[13])/32 + (75983*s[14])/96 - 
       (242529*s[15])/32 - (151575*s[16])/16 - (570245*s[17])/96 - 
       (362591*s[18])/432 - (374407*s[19])/432 - (4489817*s[20])/432 - 
       (3018421*s[21])/864 + (2802455*s[22])/864 + (20673*s[23])/2 + 
       (1338035*s[24])/216 - (73806379*s[25])/7776 + (36212587*s[26])/7776 + 
       9*s[31] - (9*s[32])/2 + (55*s[33])/4 - 33*s[34] - (3*s[35])/2 - 
       (775*s[36])/12 + (3035*s[37])/24 + 445*s[38] - (24609*s[39])/16 + 
       (77575*s[40])/48 - (18361*s[41])/16 + (106775*s[42])/48 + 
       (626789*s[43])/528 - (1202815*s[44])/1056 + (296497*s[45])/528 - 
       (600271*s[46])/88 + (2536277*s[47])/3168 - (2126689*s[48])/3168 - 
       (15549599*s[49])/3168 + (164612*s[50])/33 + (4450375*s[51])/3168 + 
       (4017469*s[52])/3168 - (902117*s[53])/264 + (5206*s[54])/11 - 
       (21437177*s[55])/1056 - (15168169*s[56])/3168 + 
       (35376019*s[57])/2376 - (363183377*s[58])/28512 + 
       (387043241*s[59])/28512 + (1022911415*s[60])/19008 - 
       (117287303*s[61])/64152 - 9*s[70] - (3*s[71])/2 + 6*s[72] - 
       (3*s[74])/4 + (9*s[75])/4 - 9*s[76] + (21*s[77])/2 + 9*s[78] + 
       158*s[79] - (121*s[80])/12 - 630*s[82] - 72*s[84] - 174*s[85]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((91*s[2])/4 - (531*s[3])/8 - (5417*s[4])/16 + (70401*s[5])/176 - 
       (718*s[6])/11 + (77921*s[7])/1056 + (113035*s[8])/594 - 
       (182585*s[9])/432 - (44431*s[10])/432 + (471461*s[11])/3168 + 
       (479485*s[12])/792 + (1829207*s[13])/3168 - (3972247*s[14])/3168 - 
       (200519*s[15])/288 - (110585*s[16])/1584 - (2860591*s[17])/3168 - 
       (460573*s[18])/1296 + (435577*s[19])/1296 - (21711935*s[20])/14256 - 
       (43075423*s[21])/28512 + (2168129*s[22])/28512 - (170351*s[23])/99 + 
       (446057*s[24])/7128 + (254411093*s[25])/256608 + 
       (126575899*s[26])/256608 - 4*s[27] + 6*s[29] - 6*s[30] - 8*s[31] - 
       (9*s[32])/2 - (387*s[33])/8 + 9*s[34] + (9*s[35])/2 - (55*s[36])/12 + 
       (469*s[37])/8 + (223*s[38])/2 - (1453*s[39])/16 - (725*s[40])/48 + 
       (2343*s[41])/16 + (1943*s[42])/48 + (18449*s[43])/528 + 
       (160697*s[44])/1056 - (28513*s[45])/176 + (446735*s[46])/264 + 
       (721637*s[47])/3168 - (1749865*s[48])/3168 + (1256881*s[49])/3168 - 
       (238105*s[50])/132 - (69977*s[51])/3168 + (439885*s[52])/3168 + 
       (790855*s[53])/792 + (69319*s[54])/132 + (6953719*s[55])/1056 + 
       (6523687*s[56])/3168 + (1598263*s[57])/1188 + (49335887*s[58])/28512 - 
       (38082431*s[59])/28512 - (306643753*s[60])/19008 + 
       (33708769*s[61])/32076 + (3*s[65])/2 + 12*s[66] - 12*s[67] + 8*s[68] - 
       30*s[69] + (27*s[70])/2 - 3*s[71] - 6*s[72] + 12*s[73] + 
       (33*s[74])/4 - (27*s[75])/4 + 14*s[76] + 2*s[77] - 17*s[78] - 
       170*s[79] + (249*s[80])/4 - 630*s[82] - 72*s[84] - 174*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[u, v, w]*((-128*s[2])/9 + 
       (560*s[3])/9 + 208*s[4] - (24224*s[5])/99 - (37832*s[6])/99 - 
       (2547184*s[7])/891 - (206080*s[8])/2673 + (631936*s[9])/243 + 
       (375128*s[10])/243 + (2567344*s[11])/891 + (2240720*s[12])/891 + 
       (347488*s[13])/297 + (2214304*s[14])/891 + (119192*s[15])/27 + 
       (1676372*s[16])/297 + (5152364*s[17])/891 + (509396*s[18])/729 + 
       (301060*s[19])/729 + (63915088*s[20])/8019 + (27332212*s[21])/8019 - 
       (12634376*s[22])/8019 + (374860*s[23])/297 - (32001272*s[24])/8019 + 
       (184410928*s[25])/72171 - (166242988*s[26])/72171 + (128*s[30])/9 - 
       (128*s[34])/9 - (512*s[35])/9 - (896*s[36])/27 + (1808*s[37])/27 + 
       80*s[38] - 280*s[39] + (5000*s[40])/27 - (184*s[41])/3 + 
       (13240*s[42])/27 - (30440*s[43])/297 + (36560*s[44])/297 - 
       (181864*s[45])/297 + (29696*s[46])/11 + (493424*s[47])/891 - 
       (972832*s[48])/891 + (607396*s[49])/891 - (713312*s[50])/297 + 
       (325852*s[51])/891 + (352936*s[52])/891 + (54400*s[53])/33 + 
       (5112*s[54])/11 + (3835112*s[55])/297 + (3214364*s[56])/891 + 
       (20145424*s[57])/2673 + (13902892*s[58])/8019 - 
       (15076780*s[59])/8019 - (76286582*s[60])/2673 + 
       (132897520*s[61])/72171 + (128*s[68])/9 - (128*s[69])/9 - 
       (64*s[74])/9 + (64*s[75])/9 - (256*s[76])/9 + (128*s[77])/9 + 
       (256*s[78])/9 - (512*s[79])/9 + (1792*s[80])/27 - (3584*s[82])/3 - 
       (512*s[85])/3) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[u, v, w]*
      ((112*s[3])/9 + (848*s[4])/9 - (35408*s[5])/99 - (5960*s[6])/11 - 
       (517160*s[7])/99 + (5296*s[8])/99 + (13840*s[9])/3 + 2264*s[10] + 
       (545080*s[11])/99 + (532240*s[12])/99 + (296740*s[13])/99 + 
       (85144*s[14])/33 + (69104*s[15])/9 + (315572*s[16])/33 + 
       (873556*s[17])/99 + (7688*s[18])/9 + (10960*s[19])/9 + 
       (1240076*s[20])/99 + (479492*s[21])/99 - (829616*s[22])/297 + 
       (8696*s[23])/33 - (228368*s[24])/33 + (16426496*s[25])/2673 - 
       (10857692*s[26])/2673 + (64*s[32])/9 + (128*s[37])/3 - (464*s[38])/9 + 
       (328*s[39])/9 - (1096*s[40])/9 + (296*s[41])/3 + (1432*s[42])/9 - 
       (3752*s[43])/9 + (4064*s[44])/9 - (9416*s[45])/9 + (15680*s[46])/3 + 
       (13048*s[47])/27 - (32360*s[48])/27 + (63560*s[49])/27 - 
       (13168*s[50])/3 + (3296*s[51])/27 + (5288*s[52])/27 + 
       (81136*s[53])/27 + (7792*s[54])/9 + (585776*s[55])/27 + 
       (43936*s[56])/9 + (216688*s[57])/27 + (389504*s[58])/81 - 
       (427256*s[59])/81 - (4170100*s[60])/81 + (72500*s[61])/27 + 
       (128*s[68])/9 - (128*s[69])/9 + (128*s[77])/9 - (3200*s[82])/3 - 
       (512*s[85])/3) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[w, v, u]*
      ((112*s[3])/9 + (656*s[4])/9 - (31544*s[5])/99 - (19160*s[6])/33 - 
       (455248*s[7])/99 + (3232*s[8])/99 + (12064*s[9])/3 + (5840*s[10])/3 + 
       (481612*s[11])/99 + (469324*s[12])/99 + (272420*s[13])/99 + 
       (83528*s[14])/33 + (59872*s[15])/9 + (831868*s[16])/99 + 
       (256640*s[17])/33 + (18568*s[18])/27 + (28808*s[19])/27 + 
       (3296900*s[20])/297 + (1301764*s[21])/297 - (725192*s[22])/297 + 
       (82924*s[23])/99 - (617020*s[24])/99 + (4832488*s[25])/891 - 
       (3303724*s[26])/891 + (64*s[32])/9 + (128*s[37])/3 - (272*s[38])/9 - 
       (896*s[39])/9 + (128*s[40])/9 + (128*s[41])/3 + (3520*s[42])/9 - 
       (31840*s[43])/99 + (36556*s[44])/99 - (100960*s[45])/99 + 
       (154544*s[46])/33 + (157316*s[47])/297 - (346132*s[48])/297 + 
       (554836*s[49])/297 - (126064*s[50])/33 + (86260*s[51])/297 + 
       (68356*s[52])/297 + (784064*s[53])/297 + (52880*s[54])/99 + 
       (6050476*s[55])/297 + (489932*s[56])/99 + (2803520*s[57])/297 + 
       (3533884*s[58])/891 - (3882196*s[59])/891 - (42191882*s[60])/891 + 
       (6736084*s[61])/2673 + (128*s[68])/9 - (128*s[69])/9 + (128*s[77])/9 - 
       (3008*s[82])/3 - (512*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      Qep[w, v, u]*((-128*s[2])/9 + (560*s[3])/9 + 208*s[4] - 
       (6104*s[5])/99 - (7352*s[6])/99 - (961960*s[7])/891 - 
       (364768*s[8])/2673 + (241552*s[9])/243 + (251648*s[10])/243 + 
       (835060*s[11])/891 + (412028*s[12])/891 + (22672*s[13])/297 + 
       (1432528*s[14])/891 + (63608*s[15])/27 + (760004*s[16])/297 + 
       (3014216*s[17])/891 - (177196*s[18])/729 + (617212*s[19])/729 + 
       (30538912*s[20])/8019 + (9635260*s[21])/8019 - (4931456*s[22])/8019 + 
       (1364296*s[23])/297 - (22239764*s[24])/8019 + (49355560*s[25])/72171 - 
       (43416676*s[26])/72171 + (128*s[30])/9 - (128*s[34])/9 - 
       (512*s[35])/9 - (896*s[36])/27 + (1808*s[37])/27 + (368*s[38])/3 - 
       672*s[39] + (15584*s[40])/27 - 416*s[41] + (31024*s[42])/27 + 
       (33568*s[43])/297 - (39004*s[44])/297 - (170560*s[45])/297 + 
       (31664*s[46])/33 + (646532*s[47])/891 - (983668*s[48])/891 - 
       (290696*s[49])/891 - (377792*s[50])/297 + (577528*s[51])/891 + 
       (654076*s[52])/891 + (99152*s[53])/99 + (25288*s[54])/33 + 
       (2763956*s[55])/297 + (1381496*s[56])/891 + (39490384*s[57])/2673 - 
       (20249192*s[58])/8019 + (15913064*s[59])/8019 - 
       (47420792*s[60])/2673 + (69401944*s[61])/72171 + (128*s[68])/9 - 
       (128*s[69])/9 - (64*s[74])/9 + (64*s[75])/9 - (256*s[76])/9 + 
       (128*s[77])/9 + (256*s[78])/9 - (512*s[79])/9 + (1792*s[80])/27 - 
       (2624*s[82])/3 - (512*s[85])/3) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v]*((-165*s[2])/2 - (5*s[3])/4 - (10263*s[4])/4 - 
       (210253*s[5])/88 - (472751*s[6])/88 - (6319531*s[7])/132 + 
       (4330025*s[8])/1188 + (8808281*s[9])/216 + (695077*s[10])/54 + 
       (82960153*s[11])/1584 + (44928577*s[12])/792 + (53656609*s[13])/1584 + 
       (11957095*s[14])/1584 + (4611829*s[15])/72 + (128284471*s[16])/1584 + 
       (100504165*s[17])/1584 + (6004549*s[18])/648 + (4218815*s[19])/648 + 
       (86200984*s[20])/891 + (514219711*s[21])/14256 - 
       (360195587*s[22])/14256 - (85349699*s[23])/1584 - 
       (737483807*s[24])/14256 + (8423970139*s[25])/128304 - 
       (4766407075*s[26])/128304 - (11*s[30])/2 - 35*s[31] + 12*s[32] - 
       (139*s[33])/8 + (111*s[34])/2 + 34*s[35] + (442*s[36])/3 - 
       (667*s[37])/4 - (3253*s[38])/2 + (13385*s[39])/2 - (44567*s[40])/6 + 
       (23247*s[41])/4 - (58303*s[42])/6 - (34073*s[43])/6 + 
       (295825*s[44])/48 - (50689*s[45])/8 + (1225421*s[46])/24 - 
       (341765*s[47])/144 - (65813*s[48])/144 + (3765083*s[49])/144 - 
       (469939*s[50])/12 - (958777*s[51])/144 - (768097*s[52])/144 + 
       (488269*s[53])/18 - (2936*s[54])/3 + (2737079*s[55])/16 + 
       (6547409*s[56])/144 - (5439317*s[57])/108 + (104655175*s[58])/1296 - 
       (105875809*s[59])/1296 - (358377083*s[60])/864 + 
       (257912809*s[61])/11664 + (7*s[65])/2 + 14*s[66] - 20*s[67] - 
       14*s[68] - 26*s[69] - 2*s[70] - s[71]/2 - 38*s[72] + 28*s[73] + 
       39*s[74] - 39*s[75] + 38*s[76] + 16*s[77] - 65*s[78] - 564*s[79] + 
       (247*s[80])/2 - 558*s[82] - (21*s[83])/2 - 249*s[84] - 168*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((-27*s[2])/2 + (107*s[3])/12 - (6827*s[4])/24 - (13859*s[5])/44 - 
       (70353*s[6])/88 - (33111407*s[7])/4752 + (3527333*s[8])/7128 + 
       (476276*s[9])/81 + (365687*s[10])/162 + (35210885*s[11])/4752 + 
       (4643459*s[12])/594 + (776429*s[13])/176 + (9256025*s[14])/4752 + 
       (1369435*s[15])/144 + (4772315*s[16])/396 + (47702563*s[17])/4752 + 
       (350440*s[18])/243 + (1916905*s[19])/1944 + (322026973*s[20])/21384 + 
       (235572323*s[21])/42768 - (155781859*s[22])/42768 - 
       (249495*s[23])/44 - (20897509*s[24])/2673 + (1725031831*s[25])/
        192456 - (1010441875*s[26])/192456 + s[30] + 4*s[31] - (10*s[32])/3 + 
       (19*s[33])/2 - (65*s[34])/3 - s[35]/3 - (142*s[36])/9 + 
       (400*s[37])/9 - 83*s[38] + (5539*s[39])/12 - (22025*s[40])/36 + 
       (6833*s[41])/12 - (23629*s[42])/36 - (247495*s[43])/396 + 
       (65008*s[44])/99 - (261097*s[45])/198 + (1075937*s[46])/132 + 
       (22345*s[47])/297 - (887387*s[48])/1188 + (872684*s[49])/297 - 
       (642007*s[50])/99 - (645823*s[51])/1188 - (386065*s[52])/1188 + 
       (910867*s[53])/198 + (1675*s[54])/33 + (12110957*s[55])/396 + 
       (2474653*s[56])/297 + (4036025*s[57])/3564 + (56919019*s[58])/5346 - 
       (112279967*s[59])/10692 - (247486609*s[60])/3564 + 
       (837620299*s[61])/192456 - s[62]/3 - (5*s[64])/3 - 2*s[65] - 
       (10*s[66])/3 + 10*s[67] + (14*s[68])/3 + 16*s[69] - 10*s[70] + 
       (10*s[71])/3 + 6*s[72] - (26*s[73])/3 + (25*s[74])/6 - (7*s[75])/2 - 
       2*s[76] - s[77] - (22*s[78])/3 - 96*s[79] + (380*s[80])/9 - 
       576*s[82] - 6*s[83] - 112*s[84] - 168*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      (16*s[2] - (55*s[3])/2 - (13439*s[4])/12 - (2646*s[5])/11 - 
       (178583*s[6])/132 - (10128419*s[7])/792 + (5218811*s[8])/3564 + 
       (845308*s[9])/81 + (239768*s[10])/81 + (33886781*s[11])/2376 + 
       (19369355*s[12])/1188 + (23252897*s[13])/2376 - (106753*s[14])/2376 + 
       (3504907*s[15])/216 + (12640337*s[16])/594 + (35709887*s[17])/2376 + 
       (1029157*s[18])/486 + (1901953*s[19])/972 + (255379153*s[20])/10692 + 
       (165788417*s[21])/21384 - (143045329*s[22])/21384 - 
       (22171241*s[23])/1188 - (144287447*s[24])/10692 + 
       (1836166975*s[25])/96228 - (913576903*s[26])/96228 - 2*s[27] + 
       4*s[29] - (34*s[30])/3 + 8*s[31] - 3*s[32] + (113*s[33])/6 - 
       (68*s[34])/3 + (28*s[35])/3 + (184*s[36])/3 - (304*s[37])/9 - 
       (1253*s[38])/3 + (6083*s[39])/3 - 2343*s[40] + (3801*s[41])/2 - 
       (18259*s[42])/6 - (5335*s[43])/3 + (8019*s[44])/4 - (39247*s[45])/18 + 
       (313249*s[46])/18 - (5839*s[47])/9 - (2962*s[48])/9 + 
       (74284*s[49])/9 - 13627*s[50] - (12799*s[51])/6 - (57581*s[52])/36 + 
       (510089*s[53])/54 - (4367*s[54])/18 + (538225*s[55])/9 + 
       (436271*s[56])/27 - (1166024*s[57])/81 + (6494962*s[58])/243 - 
       (13098275*s[59])/486 - (15360871*s[60])/108 + (69028573*s[61])/8748 - 
       (16*s[63])/3 - (5*s[64])/3 + (8*s[65])/3 + (20*s[66])/3 - 
       (26*s[67])/3 + (14*s[68])/3 - 12*s[69] - 6*s[70] - 2*s[71] - 
       (44*s[72])/3 + (20*s[73])/3 + (44*s[74])/3 - (43*s[75])/3 + 
       (20*s[76])/3 + (10*s[77])/3 - 20*s[78] - (928*s[79])/3 + 
       (958*s[80])/9 - 576*s[82] - 6*s[83] - 112*s[84] - 168*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 1}, 1 - v]*((-165*s[2])/4 + 
       (1251*s[3])/8 + (10335*s[4])/16 - (59515*s[5])/176 - (8223*s[6])/44 - 
       (111283*s[7])/1056 - (379849*s[8])/792 + (83165*s[9])/144 + 
       (159259*s[10])/144 - (594317*s[11])/1056 - (1094531*s[12])/528 - 
       (463195*s[13])/352 + (3316657*s[14])/1056 + (57617*s[15])/32 + 
       (103909*s[16])/88 + (4409543*s[17])/1056 - (34553*s[18])/432 + 
       (102389*s[19])/432 + (13531259*s[20])/4752 + (19396849*s[21])/9504 - 
       (1527611*s[22])/9504 + (719531*s[23])/88 - (1365247*s[24])/1188 - 
       (189235691*s[25])/85536 - (14150809*s[26])/85536 + (21*s[30])/2 - 
       12*s[31] + (21*s[32])/2 - (39*s[33])/8 + (33*s[34])/2 - 
       (165*s[35])/2 + (41*s[36])/2 + (433*s[37])/4 + 149*s[38] - 
       (6071*s[39])/8 + (6123*s[40])/8 - 588*s[41] + (9229*s[42])/8 + 
       (13485*s[43])/88 - (8309*s[44])/22 - (16227*s[45])/44 - 
       (22597*s[46])/88 + (65611*s[47])/88 - (22155*s[48])/22 - 
       (16387*s[49])/22 - (35301*s[50])/88 + (70791*s[51])/88 + 
       (68821*s[52])/88 + (30571*s[53])/44 + (47699*s[54])/44 + 
       (535317*s[55])/88 + (14361*s[56])/88 + (4316509*s[57])/264 - 
       (3762953*s[58])/792 + (667343*s[59])/198 - (1634425*s[60])/264 + 
       (651331*s[61])/1782 - (3*s[62])/2 + 3*s[65] + 12*s[66] - 18*s[67] + 
       15*s[68] - 51*s[69] + (3*s[70])/2 + (9*s[71])/2 - 6*s[72] + 18*s[73] - 
       (3*s[74])/2 + (3*s[75])/2 - 39*s[76] + 30*s[77] - 6*s[78] + 54*s[79] - 
       7*s[80] - 420*s[82] - 9*s[83] + 54*s[84] - 162*s[85]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      (-24*s[2] + (1389*s[3])/8 + (14809*s[4])/16 - (59047*s[5])/176 + 
       (8491*s[6])/44 + (2019091*s[7])/1056 - (16487*s[8])/22 - 
       (15385*s[9])/16 + (12005*s[10])/16 - (969733*s[11])/352 - 
       (781369*s[12])/176 - (3120599*s[13])/1056 + (1283229*s[14])/352 - 
       (120475*s[15])/96 - (596897*s[16])/264 + (1486409*s[17])/1056 - 
       (913*s[18])/144 - (59351*s[19])/144 - (44609*s[20])/1584 + 
       (3434401*s[21])/3168 + (902503*s[22])/1056 + (370460*s[23])/33 + 
       (359917*s[24])/264 - (156475727*s[25])/28512 + 
       (39263615*s[26])/28512 + 9*s[30] - 15*s[31] + (45*s[32])/4 - 
       (21*s[33])/2 + (51*s[34])/2 - (45*s[35])/2 + 12*s[36] + 
       (313*s[37])/4 + 241*s[38] - (4211*s[39])/4 + (4271*s[40])/4 - 
       (6993*s[41])/8 + (6171*s[42])/4 + (25427*s[43])/44 - 
       (102389*s[44])/176 + (11387*s[45])/44 - (45101*s[46])/11 + 
       (364333*s[47])/528 - (423971*s[48])/528 - (1327783*s[49])/528 + 
       (220343*s[50])/88 + (459005*s[51])/528 + (502109*s[52])/528 - 
       (496013*s[53])/264 + (40719*s[54])/44 - (5263523*s[55])/528 - 
       (1819117*s[56])/528 + (1527019*s[57])/99 - (45041405*s[58])/4752 + 
       (44208977*s[59])/4752 + (83484193*s[60])/3168 - 
       (27335923*s[61])/21384 + 3*s[65] + 12*s[66] - 18*s[67] + 15*s[68] - 
       51*s[69] + 3*s[70] - 3*s[71] - 6*s[72] + 18*s[73] + (3*s[74])/2 - 
       (3*s[75])/2 - 15*s[76] + (57*s[77])/2 - 18*s[78] + 72*s[79] + 
       s[80]/2 - 420*s[82] - 9*s[83] + 54*s[84] - 162*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1, 1}, 1 - u]*(-30*s[2] + (165*s[3])/8 + 
       (8883*s[4])/16 + (8949*s[5])/176 - (832*s[6])/11 + (985671*s[7])/352 - 
       (167507*s[8])/264 - (106955*s[9])/48 - (79*s[10])/48 - 
       (1183493*s[11])/352 - (798075*s[12])/176 - (895209*s[13])/352 + 
       (723141*s[14])/352 - (320377*s[15])/96 - (747323*s[16])/176 - 
       (479477*s[17])/352 - (57103*s[18])/144 - (63311*s[19])/144 - 
       (6265415*s[20])/1584 - (1789495*s[21])/3168 + (4753673*s[22])/3168 + 
       (1601191*s[23])/176 + (3987403*s[24])/1584 - (156012511*s[25])/28512 + 
       (53083363*s[26])/28512 + 3*s[30] - 9*s[31] - (9*s[32])/4 - 6*s[33] - 
       (9*s[34])/2 - (93*s[35])/2 - (21*s[36])/2 + (541*s[37])/4 + 
       106*s[38] - (7313*s[39])/8 + (7505*s[40])/8 - (1229*s[41])/2 + 
       (5865*s[42])/4 + (19035*s[43])/88 - (88071*s[44])/176 - 
       (8537*s[45])/44 - (149607*s[46])/88 + (406427*s[47])/528 - 
       (657559*s[48])/528 - (726041*s[49])/528 + (84435*s[50])/88 + 
       (153995*s[51])/176 + (431281*s[52])/528 - (55053*s[53])/88 + 
       (10548*s[54])/11 - (700111*s[55])/528 - (372805*s[56])/528 + 
       (5689741*s[57])/396 - (27601595*s[58])/4752 + (25713881*s[59])/4752 + 
       (19492379*s[60])/3168 - (3359329*s[61])/21384 + 3*s[65] + 12*s[66] - 
       18*s[67] + 6*s[68] - 42*s[69] - 9*s[70] + (27*s[71])/2 - 6*s[72] + 
       18*s[73] - 6*s[74] + 6*s[75] - 39*s[76] + (45*s[77])/2 + 12*s[78] + 
       84*s[79] - (107*s[80])/2 - 330*s[82] - 9*s[83] + 54*s[84] - 
       162*s[85]) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      ((3*s[2])/4 + (159*s[3])/8 + (6117*s[4])/16 - (10803*s[5])/176 + 
       (1277*s[6])/44 + (1118945*s[7])/1056 - (211591*s[8])/792 - 
       (114157*s[9])/144 + (44407*s[10])/144 - (1452917*s[11])/1056 - 
       (1095791*s[12])/528 - (536907*s[13])/352 + (1634209*s[14])/1056 - 
       (80653*s[15])/96 - (103659*s[16])/88 + (524435*s[17])/1056 + 
       (9787*s[18])/432 - (65539*s[19])/432 - (2158177*s[20])/4752 + 
       (3567313*s[21])/9504 + (5552893*s[22])/9504 + (443159*s[23])/88 + 
       (1744429*s[24])/2376 - (228178937*s[25])/85536 + 
       (54091217*s[26])/85536 + (3*s[30])/2 - (3*s[32])/2 + (87*s[33])/8 + 
       (3*s[34])/2 + 15*s[35] + (53*s[36])/4 + (69*s[37])/2 + (281*s[38])/2 - 
       (4673*s[39])/8 + (4981*s[40])/8 - (1669*s[41])/4 + 824*s[42] + 
       (32071*s[43])/88 - (28405*s[44])/88 + (17085*s[45])/88 - 
       (55991*s[46])/22 + (2401*s[47])/11 - (37365*s[48])/88 - 
       (143105*s[49])/88 + (134839*s[50])/88 + (11597*s[51])/33 + 
       (6511*s[52])/11 - (330655*s[53])/264 + (23357*s[54])/44 - 
       (1813595*s[55])/264 - (431825*s[56])/264 + (5435525*s[57])/792 - 
       (6008753*s[58])/1188 + (1534325*s[59])/297 + (403057*s[60])/22 - 
       (11318059*s[61])/21384 + 3*s[65] + 12*s[66] - 18*s[67] + 6*s[68] - 
       42*s[69] - (27*s[70])/2 - 3*s[71] - 6*s[72] + 18*s[73] + (3*s[74])/2 - 
       (3*s[75])/2 - 15*s[76] + 27*s[77] - 18*s[78] + 144*s[79] - 30*s[80] - 
       330*s[82] - 9*s[83] + 54*s[84] - 162*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((-184*s[2])/3 - (188*s[3])/3 - (6007*s[4])/2 - (302605*s[5])/132 - 
       (183529*s[6])/33 - (117714389*s[7])/2376 + (14119109*s[8])/3564 + 
       (13582021*s[9])/324 + (1050137*s[10])/81 + (16156615*s[11])/297 + 
       (140821669*s[12])/2376 + (28184441*s[13])/792 + 
       (15371831*s[14])/2376 + (4759759*s[15])/72 + (8279492*s[16])/99 + 
       (76954451*s[17])/1188 + (8936903*s[18])/972 + (6949777*s[19])/972 + 
       (263531047*s[20])/2673 + (771769661*s[21])/21384 - 
       (557212621*s[22])/21384 - (46025605*s[23])/792 - 
       (1149603733*s[24])/21384 + (1659498922*s[25])/24057 - 
       (1837790849*s[26])/48114 + (20*s[30])/3 - (88*s[31])/3 + 32*s[32] - 
       (103*s[33])/6 + (136*s[34])/3 + (73*s[35])/3 + (2465*s[36])/18 - 
       (2675*s[37])/18 - (3459*s[38])/2 + (165647*s[39])/24 - 
       (549425*s[40])/72 + (146161*s[41])/24 - (720961*s[42])/72 - 
       (4864411*s[43])/792 + (10148657*s[44])/1584 - (1326767*s[45])/198 + 
       (14197027*s[46])/264 - (10828723*s[47])/4752 - (4182721*s[48])/4752 + 
       (132219781*s[49])/4752 - (4111487*s[50])/99 - (32854409*s[51])/4752 - 
       (25857563*s[52])/4752 + (1269123*s[53])/44 - (8094*s[54])/11 + 
       (287888983*s[55])/1584 + (225544655*s[56])/4752 - 
       (42613712*s[57])/891 + (3567072205*s[58])/42768 - 
       (3636480439*s[59])/42768 - (12562205383*s[60])/28512 + 
       (8907971629*s[61])/384912 - (2*s[64])/3 + 2*s[65] + (38*s[66])/3 - 
       (74*s[67])/3 - (16*s[68])/3 - (104*s[69])/3 - (20*s[70])/3 + 5*s[71] - 
       (82*s[72])/3 + (151*s[73])/3 + (199*s[74])/6 - (211*s[75])/6 + 
       (58*s[76])/3 + 27*s[77] - 41*s[78] - (1586*s[79])/3 + (862*s[80])/9 - 
       288*s[82] - (15*s[83])/2 - 265*s[84] - 148*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((245*s[2])/6 - (845*s[3])/12 + (3585*s[4])/8 + (569*s[5])/3 + 
       (12883*s[6])/24 + (1971637*s[7])/432 - (266399*s[8])/648 - 
       (1267393*s[9])/324 - (45980*s[10])/81 - (2368919*s[11])/432 - 
       (707965*s[12])/108 - (1862593*s[13])/432 + (284905*s[14])/432 - 
       (2121361*s[15])/432 - (748435*s[16])/108 - (545563*s[17])/144 - 
       (450247*s[18])/486 - (605417*s[19])/1944 - (14673709*s[20])/1944 - 
       (11039057*s[21])/3888 + (9760225*s[22])/3888 + (987083*s[23])/108 + 
       (3933313*s[24])/972 - (128990971*s[25])/17496 + 
       (65017369*s[26])/17496 + (8*s[30])/3 + (74*s[31])/3 - 5*s[32] + 
       (271*s[33])/12 - 50*s[34] + 2*s[35] - (1093*s[36])/18 + (47*s[37])/6 + 
       (749*s[38])/2 - (9967*s[39])/8 + (95275*s[40])/72 - (24559*s[41])/24 + 
       (128513*s[42])/72 + (713609*s[43])/792 - (1632835*s[44])/1584 + 
       (9560*s[45])/33 - (4040975*s[46])/792 + (2532905*s[47])/4752 - 
       (843853*s[48])/4752 - (19802291*s[49])/4752 + (358222*s[50])/99 + 
       (5686399*s[51])/4752 + (4999969*s[52])/4752 - (2530289*s[53])/1188 + 
       (25621*s[54])/198 - (6405451*s[55])/528 - (16015985*s[56])/4752 + 
       (51643337*s[57])/3564 - (439862875*s[58])/42768 + 
       (439567837*s[59])/42768 + (1101131081*s[60])/28512 - 
       (528973477*s[61])/384912 - (2*s[64])/3 - 3*s[65] - (22*s[66])/3 + 
       (46*s[67])/3 + (44*s[68])/3 + (76*s[69])/3 - (2*s[70])/3 - 
       (2*s[71])/3 + (20*s[72])/3 - (113*s[73])/3 - (37*s[74])/3 + 
       (31*s[75])/3 - (2*s[76])/3 - 2*s[77] + 19*s[78] + 80*s[79] - 
       (22*s[80])/3 - 888*s[82] + (15*s[83])/2 + 5*s[84] - 148*s[85]) + 
     HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*(-70*s[2] - (83*s[3])/2 - 
       (3489*s[4])/4 - (11545*s[5])/11 - (110223*s[6])/44 - 
       (14684905*s[7])/792 + (1316837*s[8])/1188 + (869837*s[9])/54 + 
       (259267*s[10])/54 + (16202327*s[11])/792 + (4381915*s[12])/198 + 
       (10738969*s[13])/792 + (3468143*s[14])/792 + (1736099*s[15])/72 + 
       (6128509*s[16])/198 + (2107581*s[17])/88 + (651997*s[18])/162 + 
       (566455*s[19])/324 + (137182975*s[20])/3564 + (109042913*s[21])/7128 - 
       (70346917*s[22])/7128 - (3958127*s[23])/198 - (35428495*s[24])/1782 + 
       (399296303*s[25])/16038 - (241392761*s[26])/16038 - 2*s[28] - 
       16*s[29] + 10*s[30] - 8*s[31] - 16*s[32] + 41*s[33] + 6*s[34] + 
       2*s[35] - 36*s[36] - 73*s[37] - 608*s[38] + 2360*s[39] - 2898*s[40] + 
       2221*s[41] - 3476*s[42] - 2110*s[43] + (9129*s[44])/4 - 
       (4463*s[45])/2 + (35161*s[46])/2 - (3633*s[47])/4 - (2193*s[48])/4 + 
       (34859*s[49])/4 - 12866*s[50] - (10545*s[51])/4 - (8619*s[52])/4 + 
       8355*s[53] - 1724*s[54] + (657667*s[55])/12 + (67525*s[56])/4 - 
       (152573*s[57])/6 + (1106261*s[58])/36 - (1058219*s[59])/36 - 
       (1138193*s[60])/8 + (2528237*s[61])/324 + 12*s[63] + 4*s[64] - 
       8*s[65] - 24*s[66] + 20*s[67] - 38*s[68] + 48*s[69] - 94*s[70] + 
       8*s[71] + 12*s[72] + 12*s[73] - 3*s[74] + 4*s[75] - 36*s[76] + 
       72*s[77] + 64*s[78] - 472*s[79] + 154*s[80] - 156*s[82] + 36*s[83] - 
       192*s[84] - 144*s[85]) + HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - u]*(-26*s[2] - (253*s[3])/2 - (8873*s[4])/4 - 
       (13918*s[5])/11 - (176315*s[6])/44 - (25329911*s[7])/792 + 
       (3286225*s[8])/1188 + (1450933*s[9])/54 + (400601*s[10])/54 + 
       (28345327*s[11])/792 + (7976963*s[12])/198 + (19506041*s[13])/792 + 
       (2578987*s[14])/792 + (2893597*s[15])/72 + (20957125*s[16])/396 + 
       (3370957*s[17])/88 + (524743*s[18])/81 + (1175951*s[19])/324 + 
       (222176771*s[20])/3564 + (162236773*s[21])/7128 - 
       (119615657*s[22])/7128 - (16622207*s[23])/396 - 
       (118677397*s[24])/3564 + (368753690*s[25])/8019 - 
       (404864743*s[26])/16038 - 8*s[31] - 23*s[32] + 2*s[33] + 4*s[34] + 
       78*s[35] + (152*s[36])/3 - (277*s[37])/3 - 1336*s[38] + 5294*s[39] - 
       (18050*s[40])/3 + 4628*s[41] - (23056*s[42])/3 - (146896*s[43])/33 + 
       (316439*s[44])/66 - (297203*s[45])/66 + (2474185*s[46])/66 - 
       (425011*s[47])/198 - (67687*s[48])/198 + (3901129*s[49])/198 - 
       (919087*s[50])/33 - (1060427*s[51])/198 - (901643*s[52])/198 + 
       (3704903*s[53])/198 - (60004*s[54])/33 + (7851269*s[55])/66 + 
       (2222123*s[56])/66 - (1614148*s[57])/33 + (18648154*s[58])/297 - 
       (36723173*s[59])/594 - (89235625*s[60])/297 + (172789607*s[61])/
        10692 + 2*s[64] + 2*s[65] - 36*s[68] - 2*s[69] - 38*s[70] + 6*s[71] - 
       8*s[72] + 4*s[73] + 18*s[74] - 22*s[75] + 44*s[76] + 26*s[77] - 
       40*s[78] - 600*s[79] + (490*s[80])/3 + s[81]/3 - 156*s[82] + 
       36*s[83] - 192*s[84] - 144*s[85]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*((-205*s[2])/6 + 
       (151*s[3])/12 - (16651*s[4])/24 - (91043*s[5])/132 - 
       (431683*s[6])/264 - (22559869*s[7])/1584 + (2588671*s[8])/2376 + 
       (327325*s[9])/27 + (221167*s[10])/54 + (24318139*s[11])/1584 + 
       (6483713*s[12])/396 + (1690725*s[13])/176 + (4529419*s[14])/1584 + 
       (2788859*s[15])/144 + (3220639*s[16])/132 + (31265165*s[17])/1584 + 
       (229376*s[18])/81 + (1204259*s[19])/648 + (209821043*s[20])/7128 + 
       (155967961*s[21])/14256 - (107007809*s[22])/14256 - 
       (164587*s[23])/11 - (54619913*s[24])/3564 + (1219088309*s[25])/64152 - 
       (700044053*s[26])/64152 - 3*s[30] - (32*s[31])/3 + (14*s[32])/3 - 
       (14*s[33])/3 + (37*s[34])/3 + (43*s[35])/3 + (125*s[36])/3 - 
       (131*s[37])/6 - (940*s[38])/3 + (3203*s[39])/2 - (3673*s[40])/2 + 
       (2967*s[41])/2 - (7253*s[42])/3 - (29837*s[43])/22 + 
       (135629*s[44])/88 - (235289*s[45])/132 + (1835689*s[46])/132 - 
       (465943*s[47])/792 - (107299*s[48])/792 + (5002309*s[49])/792 - 
       (118695*s[50])/11 - (451421*s[51])/264 - (1028579*s[52])/792 + 
       (748607*s[53])/99 - (26519*s[54])/66 + (4203899*s[55])/88 + 
       (10435339*s[56])/792 - (13782023*s[57])/1188 + 
       (152961671*s[58])/7128 - (152978609*s[59])/7128 - 
       (533662753*s[60])/4752 + (416444375*s[61])/64152 + (8*s[65])/3 + 
       (8*s[66])/3 - (20*s[67])/3 - (20*s[68])/3 - (20*s[69])/3 - 10*s[70] - 
       2*s[71] - (38*s[72])/3 + (14*s[73])/3 + (79*s[74])/6 - (77*s[75])/6 + 
       (26*s[76])/3 + (55*s[77])/3 - 18*s[78] - 204*s[79] + 73*s[80] - 
       456*s[82] - 6*s[83] - 100*s[84] - 144*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 1 - w]*
      (-105*s[2] + (423*s[3])/2 + (3249*s[4])/4 - (6807*s[5])/11 - 
       (41733*s[6])/44 - (250109*s[7])/264 - (191623*s[8])/396 + 
       (33443*s[9])/18 + (16705*s[10])/18 - (26665*s[11])/264 - 
       (71041*s[12])/33 - (130473*s[13])/88 + (1526771*s[14])/264 + 
       (20669*s[15])/8 + (46457*s[16])/22 + (1427005*s[17])/264 + 
       (81139*s[18])/54 - (226397*s[19])/108 + (7650415*s[20])/1188 + 
       (11850581*s[21])/2376 - (1689145*s[22])/2376 + (56103*s[23])/11 + 
       (410183*s[24])/594 - (15624505*s[25])/5346 - (7933175*s[26])/5346 - 
       6*s[28] - 24*s[29] + 6*s[30] - 72*s[31] + 12*s[32] + 21*s[33] + 
       102*s[34] + 6*s[35] - 62*s[36] + s[37] + 726*s[38] - (2817*s[39])/2 + 
       (2341*s[40])/2 - (1623*s[41])/2 + (2603*s[42])/2 + (31667*s[43])/22 - 
       (12292*s[44])/11 + (10105*s[45])/11 - (171199*s[46])/22 - 
       (1585*s[47])/33 + (48277*s[48])/66 - (236354*s[49])/33 + 
       (71278*s[50])/11 + (32651*s[51])/66 + (48287*s[52])/66 - 
       (130261*s[53])/33 - (31388*s[54])/11 - (570577*s[55])/22 - 
       (34094*s[56])/11 + (88823*s[57])/66 - (108594*s[58])/11 + 
       (783865*s[59])/66 + (14805059*s[60])/198 - (7027069*s[61])/3564 + 
       72*s[63] + 12*s[67] - 48*s[68] - 84*s[69] - 168*s[70] - 12*s[72] + 
       36*s[73] + 9*s[74] - 9*s[75] - 42*s[76] + 198*s[77] - 12*s[78] - 
       144*s[79] + 32*s[80] - 72*s[82] - 72*s[84] - 144*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1}, 1 - u]*(-96*s[2] + 234*s[3] - 
       (57*s[4])/2 - (18639*s[5])/22 - (20670*s[6])/11 - (1231435*s[7])/132 + 
       (57236*s[8])/99 + (152159*s[9])/18 + (37255*s[10])/18 + 
       (1290379*s[11])/132 + (338438*s[12])/33 + (240563*s[13])/44 + 
       (675007*s[14])/132 + (46693*s[15])/4 + (350763*s[16])/22 + 
       (1832243*s[17])/132 + (192265*s[18])/54 - (82849*s[19])/54 + 
       (12747971*s[20])/594 + (11334883*s[21])/1188 - (5870741*s[22])/1188 - 
       (134377*s[23])/11 - (1996409*s[24])/297 + (111987055*s[25])/10692 - 
       (85434967*s[26])/10692 - 48*s[31] + 12*s[32] - 30*s[33] + 72*s[34] + 
       216*s[35] - 70*s[36] - 2*s[37] + 54*s[38] + (2811*s[39])/2 - 
       (3407*s[40])/2 + (2661*s[41])/2 - (5347*s[42])/2 - (9073*s[43])/22 + 
       (49751*s[44])/44 - (6361*s[45])/22 + (81403*s[46])/11 - 
       (200449*s[47])/132 + (160637*s[48])/132 + (261535*s[49])/132 - 
       (48563*s[50])/11 - (257219*s[51])/132 - (195497*s[52])/132 + 
       (110747*s[53])/33 - (42851*s[54])/11 + (763249*s[55])/44 + 
       (445707*s[56])/44 - (816265*s[57])/33 + (6344443*s[58])/396 - 
       (5345887*s[59])/396 - (30362935*s[60])/792 + (1424186*s[61])/297 + 
       6*s[64] + 18*s[65] + 24*s[66] - 24*s[67] - 36*s[68] - 144*s[69] - 
       18*s[71] - 48*s[72] + 48*s[73] + 36*s[74] - 36*s[75] + 126*s[76] + 
       24*s[77] - 192*s[78] - 288*s[79] + 170*s[80] + s[81] - 72*s[82] - 
       72*s[84] - 144*s[85]) + HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - w]*
      ((655*s[2])/4 + (587*s[3])/8 + (18053*s[4])/16 + (74003*s[5])/88 + 
       (408613*s[6])/176 + (43784765*s[7])/3168 - (6513251*s[8])/4752 - 
       (1283449*s[9])/108 - (203351*s[10])/108 - (48546299*s[11])/3168 - 
       (1690856*s[12])/99 - (3847209*s[13])/352 - (4363055*s[14])/3168 - 
       (1736209*s[15])/96 - (2934967*s[16])/132 - (50810581*s[17])/3168 - 
       (531181*s[18])/162 + (19217*s[19])/1296 - (376003675*s[20])/14256 - 
       (325897589*s[21])/28512 + (206918125*s[22])/28512 + 
       (1107567*s[23])/44 + (89183629*s[24])/7128 - (2492400877*s[25])/
        128304 + (1535512489*s[26])/128304 + 4*s[28] + 24*s[29] + 
       (15*s[30])/2 - 4*s[31] - 2*s[32] - 74*s[33] - (63*s[34])/2 + 
       (13*s[35])/2 - (71*s[36])/6 + (791*s[37])/4 + (1123*s[38])/2 - 
       (4649*s[39])/2 + (8125*s[40])/3 - (8065*s[41])/4 + (23149*s[42])/6 + 
       (100663*s[43])/66 - (876587*s[44])/528 + (93969*s[45])/88 - 
       (2961253*s[46])/264 + (2650081*s[47])/1584 - (2347175*s[48])/1584 - 
       (6846019*s[49])/1584 + (435241*s[50])/66 + (4379681*s[51])/1584 + 
       (3921755*s[52])/1584 - (495001*s[53])/99 + (316601*s[54])/66 - 
       (5570957*s[55])/176 - (21658573*s[56])/1584 + (89273483*s[57])/2376 - 
       (377339033*s[58])/14256 + (360175115*s[59])/14256 + 
       (675573511*s[60])/9504 - (656688863*s[61])/128304 - 34*s[63] + 
       12*s[65] + 16*s[66] - 33*s[67] + 78*s[68] - 55*s[69] + 216*s[70] - 
       16*s[71] + 19*s[72] - 19*s[73] + s[74]/4 + (29*s[75])/4 + 52*s[76] - 
       (557*s[77])/2 - 7*s[78] + 384*s[79] - (83*s[80])/2 - 1842*s[82] - 
       24*s[83] + 138*s[84] - 144*s[85]) + HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - u]*
      (12*s[2] - (87*s[3])/4 + (13281*s[4])/8 + (42423*s[5])/44 + 
       (298517*s[6])/88 + (33593863*s[7])/1584 - (5001383*s[8])/2376 - 
       (479789*s[9])/27 - (166709*s[10])/54 - (37888331*s[11])/1584 - 
       (11079787*s[12])/396 - (27439141*s[13])/1584 - (3423575*s[14])/1584 - 
       (3518321*s[15])/144 - (26282999*s[16])/792 - (11557807*s[17])/528 - 
       (1817371*s[18])/324 - (8527*s[19])/648 - (285709543*s[20])/7128 - 
       (218486693*s[21])/14256 + (156123901*s[22])/14256 + 
       (28049683*s[23])/792 + (131142581*s[24])/7128 - 
       (1986295165*s[25])/64152 + (1130846479*s[26])/64152 - 2*s[30] + 
       12*s[31] + (103*s[32])/2 - (25*s[33])/2 - 26*s[34] - 123*s[35] - 
       (157*s[36])/3 + (322*s[37])/3 + 1235*s[38] - (18549*s[39])/4 + 
       (61483*s[40])/12 - (15375*s[41])/4 + (82349*s[42])/12 + 
       (434573*s[43])/132 - (959383*s[44])/264 + (195539*s[45])/66 - 
       (1194967*s[46])/44 + (2175341*s[47])/792 - (821257*s[48])/792 - 
       (10517087*s[49])/792 + (605801*s[50])/33 + (3828859*s[51])/792 + 
       (3643573*s[52])/792 - (551333*s[53])/44 + (120575*s[54])/22 - 
       (20785793*s[55])/264 - (20738365*s[56])/792 + (15817304*s[57])/297 - 
       (364392647*s[58])/7128 + (344947805*s[59])/7128 + 
       (950796557*s[60])/4752 - (770744543*s[61])/64152 - 4*s[64] - 4*s[65] + 
       70*s[68] + s[69] + 88*s[70] - 20*s[71] + 8*s[72] + 10*s[73] - 
       30*s[74] + 30*s[75] - 72*s[76] - 129*s[77] + 72*s[78] + 504*s[79] - 
       (184*s[80])/3 - (2*s[81])/3 - 1842*s[82] - 24*s[83] + 138*s[84] - 
       144*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - w]*(-41*s[2] - (79*s[3])/4 - (16163*s[4])/8 - 
       (14700*s[5])/11 - (313471*s[6])/88 - (50886295*s[7])/1584 + 
       (6443407*s[8])/2376 + (1468601*s[9])/54 + (441685*s[10])/54 + 
       (55806961*s[11])/1584 + (30712243*s[12])/792 + (4089005*s[13])/176 + 
       (6171667*s[14])/1584 + (2024423*s[15])/48 + (14158895*s[16])/264 + 
       (64139771*s[17])/1584 + (1026949*s[18])/162 + (2556383*s[19])/648 + 
       (455488877*s[20])/7128 + (330953089*s[21])/14256 - 
       (241317113*s[22])/14256 - (437344*s[23])/11 - (30349958*s[24])/891 + 
       (2877343547*s[25])/64152 - (1588923221*s[26])/64152 - 12*s[30] - 
       12*s[31] - (5*s[32])/2 - (51*s[33])/4 + 12*s[34] + 17*s[35] + 
       (133*s[36])/2 - 51*s[37] - 1098*s[38] + (35091*s[39])/8 - 
       (39743*s[40])/8 + (31683*s[41])/8 - (50963*s[42])/8 - 
       (356253*s[43])/88 + (724247*s[44])/176 - (50609*s[45])/11 + 
       (3156935*s[46])/88 - (672829*s[47])/528 - (442423*s[48])/528 + 
       (9326623*s[49])/528 - (1209897*s[50])/44 - (2321111*s[51])/528 - 
       (1892549*s[52])/528 + (421659*s[53])/22 - (56849*s[54])/44 + 
       (64467355*s[55])/528 + (17402285*s[56])/528 - (12135623*s[57])/396 + 
       (264425131*s[58])/4752 - (267913837*s[59])/4752 - 
       (929244301*s[60])/3168 + (675253147*s[61])/42768 + s[64]/2 - 
       (3*s[65])/2 - 8*s[66] + 18*s[67] + 10*s[68] + 29*s[69] + 4*s[70] + 
       (17*s[71])/2 - 8*s[72] - 29*s[73] + 16*s[74] - 15*s[75] + 36*s[76] - 
       10*s[77] - 5*s[78] - 486*s[79] + 69*s[80] + 16*s[82] + (21*s[83])/2 - 
       255*s[84] - 136*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*(8*s[2] - 282*s[3] - 1281*s[4] - 
       (28289*s[5])/44 - (95943*s[6])/44 - (1839455*s[7])/99 + 
       (1742981*s[8])/1188 + (1656421*s[9])/108 + (546977*s[10])/108 + 
       (4111985*s[11])/198 + (2279066*s[12])/99 + (1393892*s[13])/99 + 
       (195727*s[14])/99 + (868897*s[15])/36 + (3113873*s[16])/99 + 
       (3128033*s[17])/132 + (1015295*s[18])/324 + (275803*s[19])/81 + 
       (32471830*s[20])/891 + (45366631*s[21])/3564 - (8582834*s[22])/891 - 
       (8014411*s[23])/396 - (76058633*s[24])/3564 + (1719977309*s[25])/
        64152 - (914263793*s[26])/64152 + 4*s[29] + 12*s[31] - 11*s[32] + 
       19*s[33] - 28*s[34] + 6*s[35] + 12*s[36] - 30*s[37] - 732*s[38] + 
       (4843*s[39])/2 - (5543*s[40])/2 + (4287*s[41])/2 - (6499*s[42])/2 - 
       (54401*s[43])/22 + (106915*s[44])/44 - (64979*s[45])/22 + 
       (233268*s[46])/11 - (5050*s[47])/11 - (27667*s[48])/22 + 
       (122334*s[49])/11 - (358271*s[50])/22 - (148183*s[51])/66 - 
       (83375*s[52])/44 + (240759*s[53])/22 + (2262*s[54])/11 + 
       (2350553*s[55])/33 + (203672*s[56])/11 - (319431*s[57])/22 + 
       (351950*s[58])/11 - (706371*s[59])/22 - (23728057*s[60])/132 + 
       (1830973*s[61])/198 - 8*s[63] + 2*s[64] - 3*s[65] - 8*s[66] + 
       8*s[67] - 10*s[68] + 30*s[69] - 4*s[70] + 5*s[71] + 8*s[72] - 
       8*s[73] + 2*s[75] + 2*s[76] - 28*s[77] + 24*s[78] - 200*s[79] + 
       40*s[80] - 596*s[82] + 15*s[83] - 114*s[84] - 136*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      (19*s[2] - (501*s[3])/2 - (5189*s[4])/4 - (23439*s[5])/44 - 
       (19989*s[6])/11 - (13152487*s[7])/792 + (435178*s[8])/297 + 
       (1479737*s[9])/108 + (457657*s[10])/108 + (14670295*s[11])/792 + 
       (4096511*s[12])/198 + (3320783*s[13])/264 + (777439*s[14])/792 + 
       (522929*s[15])/24 + (1227371*s[16])/44 + (16304987*s[17])/792 + 
       (911215*s[18])/324 + (959987*s[19])/324 + (114452387*s[20])/3564 + 
       (78781867*s[21])/7128 - (61344929*s[22])/7128 - (671402*s[23])/33 - 
       (33287471*s[24])/1782 + (1555962907*s[25])/64152 - 
       (814111267*s[26])/64152 - 4*s[30] + 12*s[31] - 11*s[32] + 3*s[33] - 
       26*s[34] + 10*s[36] - (92*s[37])/3 - 654*s[38] + 2294*s[39] - 
       2616*s[40] + 2036*s[41] - 3174*s[42] - (24350*s[43])/11 + 
       (24385*s[44])/11 - (178489*s[45])/66 + (1293067*s[46])/66 - 
       (76775*s[47])/132 - (95255*s[48])/132 + (1312901*s[49])/132 - 
       (332173*s[50])/22 - (294131*s[51])/132 - (61132*s[52])/33 + 
       (1014463*s[53])/99 + (3536*s[54])/33 + (8811245*s[55])/132 + 
       (6903077*s[56])/396 - (4498403*s[57])/297 + (107518099*s[58])/3564 - 
       (108299479*s[59])/3564 - (14470317*s[60])/88 + 
       (276666625*s[61])/32076 - 5*s[65] - 10*s[66] + 12*s[67] - 6*s[68] + 
       36*s[69] - 4*s[70] + 5*s[71] + 8*s[72] - 12*s[73] + 6*s[76] - 
       24*s[77] + 28*s[78] - 216*s[79] + (140*s[80])/3 - 596*s[82] + 
       15*s[83] - 114*s[84] - 136*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u]*(-12*s[2] + (321*s[3])/4 - (1737*s[4])/8 - 
       (5523*s[5])/11 - (77749*s[6])/88 - (13333985*s[7])/1584 + 
       (1093453*s[8])/2376 + (198145*s[9])/27 + (78128*s[10])/27 + 
       (14228437*s[11])/1584 + (7243129*s[12])/792 + (8398397*s[13])/1584 + 
       (3899851*s[14])/1584 + (1739503*s[15])/144 + (5930141*s[16])/396 + 
       (2310507*s[17])/176 + (104699*s[18])/81 + (1109165*s[19])/648 + 
       (129614069*s[20])/7128 + (96400033*s[21])/14256 - 
       (64445129*s[22])/14256 - (4029815*s[23])/792 - (71459335*s[24])/7128 + 
       (346372363*s[25])/32076 - (202907791*s[26])/32076 + 5*s[30] - 
       4*s[31] + (31*s[32])/2 + (9*s[33])/4 + 5*s[34] + 6*s[35] + 
       (68*s[36])/3 - (101*s[37])/6 - (121*s[38])/2 + (2191*s[39])/4 - 
       (7985*s[40])/12 + 530*s[41] - (5027*s[42])/6 - (50731*s[43])/132 + 
       (86113*s[44])/132 - (24166*s[45])/33 + (723407*s[46])/132 - 
       (86789*s[47])/396 - (13711*s[48])/198 + (1008719*s[49])/396 - 
       (608881*s[50])/132 - (239719*s[51])/396 - (33628*s[52])/99 + 
       (614135*s[53])/198 + (79601*s[54])/132 + (2584019*s[55])/132 + 
       (622957*s[56])/132 - (193037*s[57])/66 + (9374779*s[58])/1188 - 
       (9412603*s[59])/1188 - (110664053*s[60])/2376 + 
       (54829387*s[61])/21384 + s[64]/2 + (7*s[65])/2 + 12*s[66] - 22*s[67] - 
       10*s[68] - 31*s[69] - 10*s[70] - (11*s[71])/2 - 10*s[72] + 28*s[73] + 
       11*s[74] - (19*s[75])/2 - 12*s[76] + 19*s[77] - 18*s[78] - 120*s[79] + 
       (241*s[80])/3 - 884*s[82] - (9*s[83])/2 - 45*s[84] - 136*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((-151*s[2])/2 - (127*s[3])/4 - (10533*s[4])/4 - (24042*s[5])/11 - 
       (448015*s[6])/88 - (12085231*s[7])/264 + (1427959*s[8])/396 + 
       (2799127*s[9])/72 + (863243*s[10])/72 + (26613275*s[11])/528 + 
       (29080153*s[12])/528 + (726879*s[13])/22 + (1610089*s[14])/264 + 
       (726065*s[15])/12 + (848181*s[16])/11 + (31314007*s[17])/528 + 
       (938473*s[18])/108 + (1380601*s[19])/216 + (108577145*s[20])/1188 + 
       (79812877*s[21])/2376 - (28713373*s[22])/1188 - (9390461*s[23])/176 - 
       (234818971*s[24])/4752 + (682174535*s[25])/10692 - 
       (189232081*s[26])/5346 + s[30]/2 - 35*s[31] + (29*s[32])/2 - 
       (151*s[33])/8 + (119*s[34])/2 + 31*s[35] + (979*s[36])/6 - 
       (685*s[37])/4 - (3375*s[38])/2 + (53679*s[39])/8 - (178033*s[40])/24 + 
       (46327*s[41])/8 - (116197*s[42])/12 - (1489883*s[43])/264 + 
       (3224539*s[44])/528 - (541965*s[45])/88 + (6583045*s[46])/132 - 
       (3838085*s[47])/1584 - (695363*s[48])/1584 + (41285777*s[49])/1584 - 
       (5045809*s[50])/132 - (10642393*s[51])/1584 - (8490853*s[52])/1584 + 
       (5193031*s[53])/198 - (98717*s[54])/132 + (87090175*s[55])/528 + 
       (69282155*s[56])/1584 - (124344151*s[57])/2376 + 
       (1135258573*s[58])/14256 - (1144428385*s[59])/14256 - 
       (3856508369*s[60])/9504 + (683623441*s[61])/32076 + (7*s[65])/2 + 
       14*s[66] - 25*s[67] - 16*s[68] - 34*s[69] - 4*s[70] + (5*s[71])/2 - 
       32*s[72] + 34*s[73] + (77*s[74])/2 - (77*s[75])/2 + 30*s[76] + 
       10*s[77] - 52*s[78] - 532*s[79] + (197*s[80])/2 - 414*s[82] - 
       (21*s[83])/2 - 243*s[84] - 132*s[85]) + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*((-327*s[2])/4 - 
       (501*s[3])/8 - (43585*s[4])/16 - (182597*s[5])/88 - 
       (900143*s[6])/176 - (142463287*s[7])/3168 + (16875745*s[8])/4752 + 
       (4109987*s[9])/108 + (314662*s[10])/27 + (157105009*s[11])/3168 + 
       (85946185*s[12])/1584 + (34563211*s[13])/1056 + 
       (18287311*s[14])/3168 + (5699747*s[15])/96 + (40009735*s[16])/528 + 
       (184297439*s[17])/3168 + (5467439*s[18])/648 + (8217845*s[19])/1296 + 
       (1273312913*s[20])/14256 + (934374493*s[21])/28512 - 
       (675796805*s[22])/28512 - (1762144*s[23])/33 - 
       (345742421*s[24])/7128 + (4036187389*s[25])/64152 - 
       (2230616857*s[26])/64152 - 2*s[30] - 35*s[31] + 8*s[32] - 
       (227*s[33])/8 + 59*s[34] + (37*s[35])/2 + (851*s[36])/6 - 
       (413*s[37])/3 - (3263*s[38])/2 + (26609*s[39])/4 - (88609*s[40])/12 + 
       (23239*s[41])/4 - (232057*s[42])/24 - (738653*s[43])/132 + 
       (401377*s[44])/66 - (384115*s[45])/66 + (6409867*s[46])/132 - 
       (241228*s[47])/99 - (165751*s[48])/396 + (20388353*s[49])/792 - 
       (4899395*s[50])/132 - (5246221*s[51])/792 - (2081111*s[52])/396 + 
       (5044453*s[53])/198 - (113315*s[54])/132 + (1758070*s[55])/11 + 
       (3751375*s[56])/88 - (21098377*s[57])/396 + (185326121*s[58])/2376 - 
       (187232957*s[59])/2376 - (1870329695*s[60])/4752 + 
       (36654275*s[61])/1782 + (7*s[65])/2 + 14*s[66] - 25*s[67] - 13*s[68] - 
       37*s[69] - s[70] - s[71]/2 - 37*s[72] + 45*s[73] + (153*s[74])/4 - 
       (153*s[75])/4 + 32*s[76] + (31*s[77])/2 - 64*s[78] - 572*s[79] + 
       (401*s[80])/3 - 414*s[82] - (21*s[83])/2 - 243*s[84] - 132*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((31*s[2])/4 + (105*s[3])/8 + (1963*s[4])/16 - (37417*s[5])/88 - 
       (115221*s[6])/176 - (5994095*s[7])/1056 + (59627*s[8])/528 + 
       (60853*s[9])/12 + (28883*s[10])/12 + (2066587*s[11])/352 + 
       (501229*s[12])/88 + (3262807*s[13])/1056 + (1068747*s[14])/352 + 
       (261211*s[15])/32 + (2656471*s[16])/264 + (9868319*s[17])/1056 + 
       (44035*s[18])/36 + (137939*s[19])/144 + (21786263*s[20])/1584 + 
       (5737115*s[21])/1056 - (9534769*s[22])/3168 - (33085*s[23])/132 - 
       (5735215*s[24])/792 + (30332909*s[25])/4752 - (21006173*s[26])/4752 + 
       2*s[29] + (5*s[30])/2 + 18*s[31] - s[32] + (175*s[33])/4 - 
       (87*s[34])/2 - (29*s[35])/2 - (103*s[36])/2 + (1235*s[37])/12 + 
       (543*s[38])/2 - (2619*s[39])/2 + 1318*s[40] - (3999*s[41])/4 + 
       (4121*s[42])/2 + (1057*s[43])/2 - (13011*s[44])/16 - (583*s[45])/24 - 
       (87671*s[46])/24 + (51961*s[47])/48 - (63359*s[48])/48 - 
       (134467*s[49])/48 + 2524*s[50] + (22259*s[51])/16 + (54515*s[52])/48 - 
       (29443*s[53])/18 + (1193*s[54])/3 - (126563*s[55])/16 - 
       (359815*s[56])/144 + (4001651*s[57])/216 - (12498935*s[58])/1296 + 
       (12390989*s[59])/1296 + (2067085*s[60])/96 - (9565001*s[61])/11664 + 
       6*s[63] + s[64] - 2*s[65] - 12*s[66] + 19*s[67] + 12*s[68] + 
       18*s[69] - 12*s[70] + 5*s[71] + 19*s[72] - 35*s[73] - (69*s[74])/4 + 
       (73*s[75])/4 - 20*s[76] + (21*s[77])/2 + 47*s[78] + 90*s[79] - 
       (37*s[80])/6 - 522*s[82] + (21*s[83])/2 - 9*s[84] - 132*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      (22*s[2] + (109*s[3])/4 + (2477*s[4])/8 + (8193*s[5])/22 + 
       (66197*s[6])/88 + (9468443*s[7])/1584 - (104279*s[8])/264 - 
       5049*s[9] - (4606*s[10])/3 - (3524597*s[11])/528 - (640251*s[12])/88 - 
       (6949639*s[13])/1584 - (527399*s[14])/528 - (1111301*s[15])/144 - 
       (1985837*s[16])/198 - (12298673*s[17])/1584 - (138055*s[18])/108 - 
       (165223*s[19])/216 - (28480609*s[20])/2376 - (22201933*s[21])/4752 + 
       (4955143*s[22])/1584 + (5400397*s[23])/792 + (559223*s[24])/88 - 
       (88223833*s[25])/10692 + (50797711*s[26])/10692 + 2*s[29] + 8*s[31] - 
       3*s[32] + (3*s[33])/4 - 12*s[34] - 15*s[35] - (74*s[36])/3 + 
       (202*s[37])/3 + 307*s[38] - (4525*s[39])/4 + (13943*s[40])/12 - 
       (3439*s[41])/4 + (19735*s[42])/12 + (85945*s[43])/132 - 
       (53147*s[44])/66 + (15094*s[45])/33 - (674855*s[46])/132 + 
       (280865*s[47])/396 - (110813*s[48])/198 - (1273157*s[49])/396 + 
       (239351*s[50])/66 + (120133*s[51])/99 + (409489*s[52])/396 - 
       (451265*s[53])/198 + (11371*s[54])/33 - (870707*s[55])/66 - 
       (500765*s[56])/132 + (5235727*s[57])/396 - (4029739*s[58])/396 + 
       (318203*s[59])/33 + (88190279*s[60])/2376 - (39592163*s[61])/21384 + 
       s[64] - s[65] - 4*s[66] + 8*s[67] + 10*s[68] + 4*s[69] + 4*s[70] + 
       6*s[72] - 10*s[73] - (21*s[74])/2 + (23*s[75])/2 - 13*s[76] - s[77] + 
       24*s[78] - 4*s[79] + (23*s[80])/3 - 522*s[82] + (21*s[83])/2 - 
       9*s[84] - 132*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v]*((-61*s[2])/2 - (609*s[3])/4 - (9243*s[4])/4 - 
       (35355*s[5])/22 - (366581*s[6])/88 - (58065323*s[7])/1584 + 
       (7172747*s[8])/2376 + (1664695*s[9])/54 + (257233*s[10])/27 + 
       (63923801*s[11])/1584 + (70032295*s[12])/1584 + (3508745*s[13])/132 + 
       (1766021*s[14])/396 + (2332051*s[15])/48 + (32639737*s[16])/528 + 
       (75109627*s[17])/1584 + (4446299*s[18])/648 + (3430237*s[19])/648 + 
       (518049709*s[20])/7128 + (94239503*s[21])/3564 - 
       (17113579*s[22])/891 - (5788231*s[23])/132 - (141561349*s[24])/3564 + 
       (6600873293*s[25])/128304 - (3632961977*s[26])/128304 - (7*s[30])/2 - 
       11*s[31] - 4*s[32] - (35*s[33])/8 + (31*s[34])/2 + (49*s[35])/2 + 
       (271*s[36])/3 - (1511*s[37])/12 - (2611*s[38])/2 + (10451*s[39])/2 - 
       (34835*s[40])/6 + 4536*s[41] - (181519*s[42])/24 - (301849*s[43])/66 + 
       (2530157*s[44])/528 - (1323763*s[45])/264 + (10585709*s[46])/264 - 
       (2883337*s[47])/1584 - (837073*s[48])/1584 + (32658985*s[49])/1584 - 
       (4034231*s[50])/132 - (8219543*s[51])/1584 - (6662621*s[52])/1584 + 
       (4192087*s[53])/198 - (62107*s[54])/66 + (70650163*s[55])/528 + 
       (18900005*s[56])/528 - (10418585*s[57])/264 + (301439261*s[58])/4752 - 
       (304576799*s[59])/4752 - (3101960953*s[60])/9504 + 
       (740683447*s[61])/42768 + s[65]/2 + 2*s[66] - 4*s[67] - 10*s[68] + 
       2*s[69] - 4*s[70] + (5*s[71])/2 - 22*s[72] + 12*s[73] + 24*s[74] - 
       24*s[75] + 26*s[76] - 4*s[77] - 37*s[78] - 440*s[79] + (547*s[80])/6 - 
       360*s[82] - (3*s[83])/2 - 207*s[84] - 120*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-73*s[2])/2 - (549*s[3])/4 - (8549*s[4])/4 - (35521*s[5])/22 - 
       (350197*s[6])/88 - (13990343*s[7])/396 + (125875*s[8])/44 + 
       (714821*s[9])/24 + (73961*s[10])/8 + (20504045*s[11])/528 + 
       (7481405*s[12])/176 + (5033825*s[13])/198 + (1228159*s[14])/264 + 
       (3370015*s[15])/72 + (47168687*s[16])/792 + (72554843*s[17])/1584 + 
       (183202*s[18])/27 + (1065067*s[19])/216 + (20937665*s[20])/297 + 
       (61246457*s[21])/2376 - (1223219*s[22])/66 - (66421505*s[23])/1584 - 
       (60542249*s[24])/1584 + (131711653*s[25])/2673 - 
       (72977914*s[26])/2673 + s[30]/2 - 11*s[31] + 4*s[32] + (29*s[33])/8 + 
       (23*s[34])/2 + 22*s[35] + (259*s[36])/3 - (517*s[37])/4 - 
       (2523*s[38])/2 + (9937*s[39])/2 - (33173*s[40])/6 + 4309*s[41] - 
       (172135*s[42])/24 - (285775*s[43])/66 + (300127*s[44])/66 - 
       (428449*s[45])/88 + (10137781*s[46])/264 - (1377719*s[47])/792 - 
       (434579*s[48])/792 + (1930234*s[49])/99 - (3861431*s[50])/132 - 
       (495287*s[51])/99 - (802789*s[52])/198 + (16032689*s[53])/792 - 
       (139243*s[54])/132 + (16903537*s[55])/132 + (6821219*s[56])/198 - 
       (89768531*s[57])/2376 + (216849095*s[58])/3564 - 
       (436261561*s[59])/7128 - (1484376389*s[60])/4752 + 
       (2149873601*s[61])/128304 + s[65]/2 + 2*s[66] - 4*s[67] - 10*s[68] + 
       2*s[69] - 4*s[70] + (5*s[71])/2 - 14*s[72] + 4*s[73] + 22*s[74] - 
       22*s[75] + 18*s[76] - 8*s[77] - 13*s[78] - 408*s[79] + (185*s[80])/2 - 
       360*s[82] - (3*s[83])/2 - 207*s[84] - 120*s[85]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((-51*s[2])/4 + (541*s[3])/8 - (2739*s[4])/16 + (2053*s[5])/44 - 
       (60425*s[6])/176 - (6807217*s[7])/3168 + (952211*s[8])/4752 + 
       (203479*s[9])/108 + (114457*s[10])/216 + (7832831*s[11])/3168 + 
       (2273989*s[12])/792 + (5471689*s[13])/3168 + (1833995*s[14])/3168 + 
       (668039*s[15])/288 + (694753*s[16])/198 + (2428267*s[17])/1056 + 
       (139757*s[18])/324 + (120019*s[19])/1296 + (64414123*s[20])/14256 + 
       (46301285*s[21])/28512 - (34496497*s[22])/28512 - (403529*s[23])/198 - 
       (15902977*s[24])/7128 + (379239757*s[25])/128304 - 
       (215653705*s[26])/128304 - 2*s[28] + 2*s[29] + 4*s[30] + 5*s[31] + 
       18*s[32] + (113*s[33])/8 - 9*s[34] + (17*s[35])/2 - (40*s[36])/3 + 
       (667*s[37])/12 - 26*s[38] + (1747*s[39])/8 - (9961*s[40])/24 + 
       (3743*s[41])/8 - (10115*s[42])/24 - (80879*s[43])/264 + 
       (93641*s[44])/264 - (99787*s[45])/264 + (128603*s[46])/44 - 
       (67987*s[47])/792 - (149609*s[48])/396 + (1011361*s[49])/792 - 
       (156671*s[50])/66 - (101405*s[51])/198 - (93937*s[52])/396 + 
       (355999*s[53])/264 + (5397*s[54])/44 + (1179647*s[55])/132 + 
       (2264465*s[56])/792 - (7741865*s[57])/2376 + (16768013*s[58])/3564 - 
       (14828243*s[59])/3564 - (30140599*s[60])/1188 + 
       (86849635*s[61])/64152 + 24*s[63] + (3*s[64])/2 - s[65] - 2*s[66] + 
       2*s[67] + 4*s[68] - 10*s[69] - 81*s[70] + (13*s[71])/2 - s[72] + 
       33*s[73] + (11*s[74])/4 - (25*s[75])/4 - 7*s[76] + (253*s[77])/2 - 
       s[78] - 164*s[79] + (187*s[80])/6 - 282*s[82] + 6*s[83] - 66*s[84] - 
       120*s[85]) + HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((-31*s[2])/4 + (783*s[3])/8 + (1843*s[4])/16 + (1939*s[5])/44 - 
       (1863*s[6])/176 + (1004533*s[7])/3168 - (191861*s[8])/1584 - 
       (3253*s[9])/36 + (4601*s[10])/72 - (137143*s[11])/352 - 
       (124045*s[12])/264 - (1454513*s[13])/3168 + (297365*s[14])/352 - 
       (175483*s[15])/288 - (300587*s[16])/792 - (600025*s[17])/3168 + 
       (145*s[18])/18 - (39055*s[19])/144 + (698353*s[20])/1584 + 
       (1664969*s[21])/9504 + (702499*s[22])/9504 + (1950865*s[23])/792 + 
       (231971*s[24])/1188 - (37574225*s[25])/42768 + (9266849*s[26])/42768 + 
       20*s[30] + 3*s[31] - 3*s[32] + (55*s[33])/8 - 7*s[34] - (51*s[35])/2 - 
       (283*s[36])/6 + (145*s[37])/2 + (199*s[38])/2 - (1051*s[39])/4 + 
       (1727*s[40])/12 + 7*s[41] + (3463*s[42])/12 + (18919*s[43])/132 - 
       (59233*s[44])/528 - (4*s[45])/11 - (61801*s[46])/132 + 
       (150971*s[47])/1584 - (480913*s[48])/1584 - (1117577*s[49])/1584 + 
       (28015*s[50])/132 + (19663*s[51])/1584 + (242005*s[52])/1584 - 
       (277231*s[53])/792 + (9793*s[54])/66 - (795017*s[55])/528 + 
       (353293*s[56])/1584 + (3940513*s[57])/2376 - (14647585*s[58])/14256 + 
       (23381833*s[59])/14256 + (22254791*s[60])/9504 + 
       (1767199*s[61])/16038 - 5*s[62] - s[64]/2 - (5*s[65])/2 - 2*s[66] + 
       6*s[67] + 4*s[68] - 6*s[69] - 35*s[70] + 7*s[71] + 7*s[72] - 
       11*s[73] + s[74]/4 - (7*s[75])/4 + 21*s[76] + (129*s[77])/2 + s[78] - 
       108*s[79] - 6*s[80] + s[81]/3 - 282*s[82] + 6*s[83] - 66*s[84] - 
       120*s[85]) + HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((-73*s[2])/4 + (821*s[3])/8 - (205*s[4])/16 - (7127*s[5])/88 - 
       (52005*s[6])/176 - (2738027*s[7])/1056 - (160385*s[8])/4752 + 
       (67589*s[9])/27 + (111397*s[10])/108 + (8699539*s[11])/3168 + 
       (1053157*s[12])/396 + (5280001*s[13])/3168 + (4702327*s[14])/3168 + 
       (1009127*s[15])/288 + (3579607*s[16])/792 + (12815941*s[17])/3168 + 
       (48340*s[18])/81 + (188699*s[19])/1296 + (90768683*s[20])/14256 + 
       (71210413*s[21])/28512 - (44626205*s[22])/28512 - (434195*s[23])/792 - 
       (5339567*s[24])/1782 + (365022539*s[25])/128304 - 
       (250427915*s[26])/128304 - 10*s[28] - 10*s[29] - (3*s[30])/2 - 
       20*s[31] + (43*s[32])/2 - (169*s[33])/4 + (51*s[34])/2 + 
       (17*s[35])/2 + (7*s[36])/6 + 53*s[37] + 49*s[38] - (73*s[39])/2 - 
       (443*s[40])/3 + (557*s[41])/2 - (889*s[42])/12 - (6887*s[43])/66 + 
       (88081*s[44])/528 - (1361*s[45])/11 + (39901*s[46])/33 + 
       (91897*s[47])/1584 - (669743*s[48])/1584 + (610469*s[49])/1584 - 
       (78113*s[50])/66 - (425875*s[51])/1584 - (16369*s[52])/1584 + 
       (408247*s[53])/792 + (39469*s[54])/132 + (642871*s[55])/176 + 
       (2173535*s[56])/1584 - (2500147*s[57])/2376 + (25416421*s[58])/14256 - 
       (19305205*s[59])/14256 - (113289851*s[60])/9504 + 
       (37243169*s[61])/64152 + 24*s[63] - s[64] - s[65] + 2*s[66] + 
       2*s[67] + 20*s[68] - 17*s[69] - 79*s[70] + (13*s[71])/2 - s[72] + 
       33*s[73] + (11*s[74])/4 - (25*s[75])/4 - 7*s[76] + (221*s[77])/2 - 
       s[78] - 192*s[79] + 38*s[80] - 270*s[82] + 6*s[83] - 66*s[84] - 
       120*s[85]) + HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((-61*s[2])/2 + 99*s[3] + 31*s[4] - (2210*s[5])/11 - (4140*s[6])/11 - 
       (399185*s[7])/132 + (81967*s[8])/594 + (301873*s[9])/108 + 
       (27935*s[10])/27 + (2540069*s[11])/792 + (1307453*s[12])/396 + 
       (1384385*s[13])/792 + (1237055*s[14])/792 + (70603*s[15])/18 + 
       (4157027*s[16])/792 + (3558941*s[17])/792 + (62261*s[18])/81 + 
       (38143*s[19])/324 + (26058163*s[20])/3564 + (20328581*s[21])/7128 - 
       (12149725*s[22])/7128 - (1063999*s[23])/792 - (23430295*s[24])/7128 + 
       (218998733*s[25])/64152 - (147333839*s[26])/64152 - s[30] - 10*s[31] - 
       (43*s[32])/2 - (5*s[33])/4 + 16*s[34] - 11*s[35] - (227*s[36])/6 + 
       (421*s[37])/12 + 11*s[38] + (1605*s[39])/8 - (7867*s[40])/24 + 
       (2773*s[41])/8 - (10235*s[42])/24 - (26033*s[43])/264 + 
       (138409*s[44])/528 - (54973*s[45])/264 + (94239*s[46])/44 - 
       (273551*s[47])/1584 - (138449*s[48])/1584 + (971309*s[49])/1584 - 
       (118127*s[50])/66 - (727057*s[51])/1584 - (294799*s[52])/1584 + 
       (70385*s[53])/66 - (2565*s[54])/22 + (3499711*s[55])/528 + 
       (3977995*s[56])/1584 - (910276*s[57])/297 + (51083255*s[58])/14256 - 
       (43775615*s[59])/14256 - (161344025*s[60])/9504 + 
       (40650689*s[61])/32076 - 4*s[62] + s[64] + 3*s[65] + 6*s[66] - 
       10*s[67] + 10*s[68] - 17*s[69] - 53*s[70] - 6*s[72] + 8*s[73] + 
       6*s[74] - 6*s[75] - 2*s[76] + 61*s[77] + 28*s[78] - 124*s[79] + 
       (397*s[80])/6 + s[81]/3 - 270*s[82] + 6*s[83] - 66*s[84] - 
       120*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1}, 1 - u]*((-721*s[2])/12 - (13*s[3])/4 - 
       (38975*s[4])/24 - (532715*s[5])/528 - (1400107*s[6])/528 - 
       (19437971*s[7])/792 + (9411527*s[8])/4752 + (9000469*s[9])/432 + 
       (2649383*s[10])/432 + (21406895*s[11])/792 + (11759279*s[12])/396 + 
       (1195735*s[13])/66 + (1757861*s[14])/792 + (516537*s[15])/16 + 
       (5395567*s[16])/132 + (48848879*s[17])/1584 + (5828243*s[18])/1296 + 
       (2195249*s[19])/648 + (341220251*s[20])/7128 + 
       (246261451*s[21])/14256 - (92563729*s[22])/7128 - 
       (16191499*s[23])/528 - (373060079*s[24])/14256 + 
       (8907175199*s[25])/256608 - (4817153819*s[26])/256608 - 5*s[29] + 
       (14*s[30])/3 - (106*s[31])/3 + (37*s[32])/6 - (261*s[33])/8 + 
       (105*s[34])/2 - (11*s[35])/3 + 62*s[36] - (381*s[37])/8 - 
       (1889*s[38])/2 + (45269*s[39])/12 - (50909*s[40])/12 + 
       (40825*s[41])/12 - (65689*s[42])/12 - (443863*s[43])/132 + 
       (453223*s[44])/132 - (1931489*s[45])/528 + (15370727*s[46])/528 - 
       (40196*s[47])/33 - (47891*s[48])/132 + (654651*s[49])/44 - 
       (5921627*s[50])/264 - (162521*s[51])/44 - (67707*s[52])/22 + 
       (24596569*s[53])/1584 - (10063*s[54])/22 + (8621535*s[55])/88 + 
       (20372281*s[56])/792 - (33469475*s[57])/1188 + 
       (653274355*s[58])/14256 - (166225861*s[59])/3564 - 
       (83432297*s[60])/352 + (3176375483*s[61])/256608 - s[64]/2 - 
       (9*s[65])/4 - 3*s[66] + 10*s[67] + 8*s[68] + 12*s[69] + (15*s[70])/2 + 
       11*s[71] - 10*s[72] - 28*s[73] + (44*s[74])/3 - (50*s[75])/3 + 
       (109*s[76])/3 - (13*s[77])/6 - 12*s[78] - 388*s[79] + (99*s[80])/4 + 
       143*s[82] + (15*s[83])/4 - (453*s[84])/2 - 116*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((-35*s[2])/6 - (59*s[3])/8 + (1247*s[4])/48 - (315857*s[5])/528 - 
       (232391*s[6])/264 - (24537119*s[7])/3168 + (92299*s[8])/264 + 
       (324469*s[9])/48 + (142067*s[10])/48 + (8385637*s[11])/1056 + 
       (2029553*s[12])/264 + (12775669*s[13])/3168 + (3804113*s[14])/1056 + 
       (3371903*s[15])/288 + (22297805*s[16])/1584 + (42056099*s[17])/3168 + 
       (720797*s[18])/432 + (511555*s[19])/432 + (86969983*s[20])/4752 + 
       (68871145*s[21])/9504 - (12832129*s[22])/3168 - (2611547*s[23])/792 - 
       (804539*s[24])/88 + (756373291*s[25])/85536 - (512128195*s[26])/
        85536 + (2*s[30])/3 + (2*s[31])/3 + (25*s[32])/6 + (67*s[33])/8 - 
       (11*s[34])/2 + (19*s[35])/3 - (67*s[36])/3 + (113*s[37])/24 + 
       (95*s[38])/4 + (2461*s[39])/24 - (3665*s[40])/24 + (1609*s[41])/12 - 
       (443*s[42])/3 - (44059*s[43])/264 + (135689*s[44])/528 - 
       (162697*s[45])/176 + (2595679*s[46])/528 + (63847*s[47])/1584 - 
       (604931*s[48])/1584 + (1788371*s[49])/1584 - (131726*s[50])/33 - 
       (295921*s[51])/1584 + (20657*s[52])/1584 + (4779233*s[53])/1584 - 
       (4343*s[54])/264 + (10801631*s[55])/528 + (8692223*s[56])/1584 + 
       (8507399*s[57])/2376 + (40945271*s[58])/7128 - 
       (81863965*s[59])/14256 - (202005553*s[60])/4752 + 
       (768378683*s[61])/256608 + 2*s[67] + 2*s[69] - 4*s[70] - (3*s[71])/4 - 
       2*s[72] + (5*s[74])/3 - (13*s[75])/6 + (4*s[76])/3 + (19*s[77])/3 - 
       2*s[78] - 28*s[79] + (379*s[80])/12 - 877*s[82] + (15*s[83])/4 + 
       (27*s[84])/2 - 116*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w]*(-51*s[2] - (15*s[3])/2 - (5009*s[4])/2 - 
       (73331*s[5])/44 - (192601*s[6])/44 - (30880013*s[7])/792 + 
       (630721*s[8])/198 + (593387*s[9])/18 + (179095*s[10])/18 + 
       (1420631*s[11])/33 + (6243899*s[12])/132 + (11327015*s[13])/396 + 
       (581357*s[14])/132 + (3691571*s[15])/72 + (51806203*s[16])/792 + 
       (4909624*s[17])/99 + (774625*s[18])/108 + (596513*s[19])/108 + 
       (45664693*s[20])/594 + (1227689*s[21])/44 - (24429695*s[22])/1188 - 
       (37554641*s[23])/792 - (99715549*s[24])/2376 + 
       (195848111*s[25])/3564 - (107164721*s[26])/3564 + 8*s[30] - 20*s[31] + 
       18*s[32] - (33*s[33])/2 + 31*s[34] + 31*s[35] + (305*s[36])/3 - 
       (389*s[37])/6 - (2977*s[38])/2 + (23829*s[39])/4 - (79607*s[40])/12 + 
       (10567*s[41])/2 - (103885*s[42])/12 - (686593*s[43])/132 + 
       (1461521*s[44])/264 - (355499*s[45])/66 + (5880527*s[46])/132 - 
       (1579315*s[47])/792 - (539881*s[48])/792 + (18744091*s[49])/792 - 
       (4535521*s[50])/132 - (4697477*s[51])/792 - (3748235*s[52])/792 + 
       (2331589*s[53])/99 - (67339*s[54])/132 + (39160607*s[55])/264 + 
       (3424533*s[56])/88 - (17548427*s[57])/396 + (167083261*s[58])/2376 - 
       (169614883*s[59])/2376 - (1731662125*s[60])/4752 + 
       (2478371*s[61])/132 - s[64]/2 + (3*s[65])/2 + 10*s[66] - 20*s[67] - 
       6*s[68] - 27*s[69] - 5*s[70] + (11*s[71])/2 - 28*s[72] + 26*s[73] + 
       (63*s[74])/2 - 32*s[75] + 16*s[76] + 23*s[77] - 34*s[78] - 546*s[79] + 
       (289*s[80])/3 - 38*s[82] + (3*s[83])/2 - 285*s[84] - 112*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((191*s[2])/4 - (179*s[3])/8 + (9303*s[4])/16 + (32327*s[5])/88 + 
       (165159*s[6])/176 + (24178663*s[7])/3168 - (370705*s[8])/528 - 
       6420*s[9] - (9197*s[10])/6 - (9141115*s[11])/1056 - 
       (855535*s[12])/88 - (19374071*s[13])/3168 - (86539*s[14])/1056 - 
       (2771545*s[15])/288 - (9850199*s[16])/792 - (28028287*s[17])/3168 - 
       (74579*s[18])/54 - (424247*s[19])/432 - (65938451*s[20])/4752 - 
       (48976337*s[21])/9504 + (12731579*s[22])/3168 + (2273971*s[23])/198 + 
       (2062853*s[24])/264 - (485570431*s[25])/42768 + 
       (256410019*s[26])/42768 - (11*s[30])/2 + 22*s[31] + (25*s[32])/2 + 
       (93*s[33])/4 - (95*s[34])/2 - (7*s[35])/2 - (119*s[36])/2 + 
       (221*s[37])/4 + 462*s[38] - (7039*s[39])/4 + (7329*s[40])/4 - 
       (5819*s[41])/4 + (5169*s[42])/2 + (62893*s[43])/44 - 
       (260811*s[44])/176 + (82977*s[45])/88 - (886157*s[46])/88 + 
       (129291*s[47])/176 - (32321*s[48])/176 - (1130505*s[49])/176 + 
       (331123*s[50])/44 + (922369*s[51])/528 + (244685*s[52])/176 - 
       (685493*s[53])/132 + (18257*s[54])/44 - (5426931*s[55])/176 - 
       (4176901*s[56])/528 + (11930867*s[57])/792 - (80356289*s[58])/4752 + 
       (83094791*s[59])/4752 + (83972321*s[60])/1056 - 
       (158957423*s[61])/42768 + 2*s[63] - s[64]/2 - (7*s[65])/2 - 10*s[66] + 
       21*s[67] + 14*s[68] + 33*s[69] + s[70] + (3*s[71])/2 + 15*s[72] - 
       19*s[73] - (49*s[74])/4 + (45*s[75])/4 - 4*s[76] - (21*s[77])/2 + 
       35*s[78] + 4*s[79] + (55*s[80])/2 - 638*s[82] + (33*s[83])/2 - 
       15*s[84] - 112*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u]*(-38*s[2] - (207*s[3])/2 - (19625*s[4])/8 - 
       (18727*s[5])/11 - (195863*s[6])/44 - (15551633*s[7])/396 + 
       (3841151*s[8])/1188 + (1788263*s[9])/54 + (1091297*s[10])/108 + 
       (34311059*s[11])/792 + (75453155*s[12])/1584 + (45495815*s[13])/1584 + 
       (7362361*s[14])/1584 + (1854331*s[15])/36 + (104411885*s[16])/1584 + 
       (13213763*s[17])/264 + (4810555*s[18])/648 + (1772857*s[19])/324 + 
       (138363365*s[20])/1782 + (402424867*s[21])/14256 - 
       (294275723*s[22])/14256 - (37382027*s[23])/792 - 
       (301157779*s[24])/7128 + (7091495485*s[25])/128304 - 
       (3893730757*s[26])/128304 - (7*s[30])/2 - 17*s[31] + (7*s[32])/2 - 
       (89*s[33])/8 + (55*s[34])/2 + 26*s[35] + (575*s[36])/6 - 
       (466*s[37])/3 - 1400*s[38] + (45577*s[39])/8 - (151919*s[40])/24 + 
       (39611*s[41])/8 - (49531*s[42])/6 - (1299613*s[43])/264 + 
       (688379*s[44])/132 - (177571*s[45])/33 + (3819765*s[46])/88 - 
       (199600*s[47])/99 - (429029*s[48])/792 + (17613683*s[49])/792 - 
       (4363949*s[50])/132 - (2260283*s[51])/396 - (3651037*s[52])/792 + 
       (1501727*s[53])/66 - (49999*s[54])/44 + (12643841*s[55])/88 + 
       (30657973*s[56])/792 - (105470419*s[57])/2376 + 
       (493150511*s[58])/7128 - (247580785*s[59])/3564 - 
       (1673959901*s[60])/4752 + (2406522445*s[61])/128304 + s[65]/2 + 
       2*s[66] - 7*s[67] - 10*s[68] - 4*s[69] - 4*s[70] + s[71] - 22*s[72] + 
       12*s[73] + 27*s[74] - 27*s[75] + 32*s[76] + 5*s[77] - 34*s[78] - 
       484*s[79] + (322*s[80])/3 - 234*s[82] - (3*s[83])/2 - 225*s[84] - 
       108*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w]*((-167*s[2])/4 - (461*s[3])/8 - 
       (35049*s[4])/16 - (12577*s[5])/8 - (63397*s[6])/16 - 
       (10131191*s[7])/288 + (421199*s[8])/144 + (2140399*s[9])/72 + 
       (635963*s[10])/72 + (3726865*s[11])/96 + (2054357*s[12])/48 + 
       (7433371*s[13])/288 + (396043*s[14])/96 + (13230247*s[15])/288 + 
       (4232323*s[16])/72 + (12791417*s[17])/288 + (366553*s[18])/54 + 
       (1997131*s[19])/432 + (29971139*s[20])/432 + (7300627*s[21])/288 - 
       (16003669*s[22])/864 - (6271831*s[23])/144 - (16192583*s[24])/432 + 
       (64138351*s[25])/1296 - (35292163*s[26])/1296 - s[30] - 17*s[31] + 
       4*s[32] - (85*s[33])/8 + 22*s[34] + (17*s[35])/2 + (539*s[36])/6 - 
       (331*s[37])/2 - (2683*s[38])/2 + (21189*s[39])/4 - (70741*s[40])/12 + 
       (18359*s[41])/4 - (184195*s[42])/24 - (600893*s[43])/132 + 
       (2533457*s[44])/528 - (110089*s[45])/22 + (5296523*s[46])/132 - 
       (3035467*s[47])/1584 - (697351*s[48])/1584 + (32345023*s[49])/1584 - 
       (4022615*s[50])/132 - (8458661*s[51])/1584 - (6943517*s[52])/1584 + 
       (16671647*s[53])/792 - (91169*s[54])/66 + (23405353*s[55])/176 + 
       (57288625*s[56])/1584 - (50034709*s[57])/1188 + 
       (917670353*s[58])/14256 - (920810921*s[59])/14256 - 
       (3092109265*s[60])/9504 + (139670048*s[61])/8019 + s[65]/2 + 2*s[66] - 
       7*s[67] - 7*s[68] - s[69] - s[70] + (5*s[71])/2 - 17*s[72] + 
       13*s[73] + (97*s[74])/4 - (97*s[75])/4 + 24*s[76] + (11*s[77])/2 - 
       16*s[78] - 480*s[79] + 113*s[80] - 234*s[82] - (3*s[83])/2 - 
       225*s[84] - 108*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u]*((-105*s[2])/2 - (35*s[3])/4 - (8075*s[4])/4 - 
       (140073*s[5])/88 - (336527*s[6])/88 - (3059249*s[7])/88 + 
       (839662*s[8])/297 + (6373459*s[9])/216 + (980383*s[10])/108 + 
       (60496283*s[11])/1584 + (33118163*s[12])/792 + (39640475*s[13])/1584 + 
       (7301213*s[14])/1584 + (1649587*s[15])/36 + (92453027*s[16])/1584 + 
       (70682219*s[17])/1584 + (4364063*s[18])/648 + (2971213*s[19])/648 + 
       (247538471*s[20])/3564 + (362989445*s[21])/14256 - 
       (261740197*s[22])/14256 - (64936867*s[23])/1584 - 
       (530918107*s[24])/14256 + (6204227075*s[25])/128304 - 
       (3444349679*s[26])/128304 - (11*s[30])/2 - 23*s[31] + (21*s[32])/2 - 
       (103*s[33])/8 + (75*s[34])/2 + 25*s[35] + (569*s[36])/6 - 
       (343*s[37])/3 - 1249*s[38] + (40095*s[39])/8 - (133481*s[40])/24 + 
       (34811*s[41])/8 - (173935*s[42])/24 - (1133323*s[43])/264 + 
       (606563*s[44])/132 - (317717*s[45])/66 + (3380175*s[46])/88 - 
       (698689*s[47])/396 - (356921*s[48])/792 + (3858473*s[49])/198 - 
       (3881189*s[50])/132 - (4005457*s[51])/792 - (3186079*s[52])/792 + 
       (667999*s[53])/33 - (38243*s[54])/44 + (5631235*s[55])/44 + 
       (13605221*s[56])/396 - (45868961*s[57])/1188 + 
       (435288539*s[58])/7128 - (218737441*s[59])/3564 - 
       (741915835*s[60])/2376 + (2131403299*s[61])/128304 + s[65]/2 + 
       2*s[66] + s[67] - 2*s[68] + 4*s[69] + 4*s[70] + 4*s[71] - 20*s[72] - 
       2*s[73] + (51*s[74])/2 - (51*s[75])/2 + 38*s[76] - 2*s[77] - 
       32*s[78] - 448*s[79] + (196*s[80])/3 - 324*s[82] - (3*s[83])/2 - 
       213*s[84] - 108*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w]*((-145*s[2])/4 - (259*s[3])/8 - 
       (33575*s[4])/16 - (16347*s[5])/11 - (676205*s[6])/176 - 
       (36111137*s[7])/1056 + (13372553*s[8])/4752 + (6242495*s[9])/216 + 
       (950933*s[10])/108 + (119297459*s[11])/3168 + (32718271*s[12])/792 + 
       (78924893*s[13])/3168 + (13305059*s[14])/3168 + (12973585*s[15])/288 + 
       (91059385*s[16])/1584 + (138953921*s[17])/3168 + (4148815*s[18])/648 + 
       (6103843*s[19])/1296 + (965444869*s[20])/14256 + 
       (701870045*s[21])/28512 - (513989533*s[22])/28512 - 
       (64744709*s[23])/1584 - (525649535*s[24])/14256 + 
       (769193753*s[25])/16038 - (845107327*s[26])/32076 - 7*s[30] - 
       23*s[31] + 12*s[32] - (163*s[33])/8 + 36*s[34] + (23*s[35])/2 + 
       (539*s[36])/6 - (227*s[37])/2 - (2437*s[38])/2 + (19907*s[39])/4 - 
       (66655*s[40])/12 + (8741*s[41])/2 - (21767*s[42])/3 - 
       (567827*s[43])/132 + (303181*s[44])/66 - (50606*s[45])/11 + 
       (4967579*s[46])/132 - (685681*s[47])/396 - (46474*s[48])/99 + 
       (3850313*s[49])/198 - (3797687*s[50])/132 - (981511*s[51])/198 - 
       (1573247*s[52])/396 + (1969054*s[53])/99 - (124885*s[54])/132 + 
       (11039811*s[55])/88 + (13361287*s[56])/396 - (91818659*s[57])/2376 + 
       (426734773*s[58])/7128 - (431592847*s[59])/7128 - 
       (726475363*s[60])/2376 + (518471639*s[61])/32076 + s[65]/2 + 2*s[66] + 
       s[67] + s[68] + s[69] + 7*s[70] + (5*s[71])/2 - 23*s[72] + 7*s[73] + 
       (99*s[74])/4 - (99*s[75])/4 + 32*s[76] + (5*s[77])/2 - 38*s[78] - 
       480*s[79] + 103*s[80] - 324*s[82] - (3*s[83])/2 - 213*s[84] - 
       108*s[85]) + HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((-59*s[2])/4 - (795*s[3])/8 + (9083*s[4])/16 + (24097*s[5])/88 + 
       (94071*s[6])/176 + (22868027*s[7])/3168 - (3616769*s[8])/4752 - 
       (658861*s[9])/108 - (89119*s[10])/54 - (26269361*s[11])/3168 - 
       (7629241*s[12])/792 - (6217469*s[13])/1056 + (1701391*s[14])/3168 - 
       (843431*s[15])/96 - (767671*s[16])/66 - (24247159*s[17])/3168 - 
       (336221*s[18])/324 - (1860337*s[19])/1296 - (182403373*s[20])/14256 - 
       (120193883*s[21])/28512 + (109736659*s[22])/28512 + 
       (2534107*s[23])/264 + (28329185*s[24])/3564 - (1432701685*s[25])/
        128304 + (697898557*s[26])/128304 - 10*s[28] - 16*s[29] + 
       (5*s[30])/2 - 16*s[31] - 6*s[32] - (103*s[33])/2 + (13*s[34])/2 + 
       (13*s[35])/2 - (129*s[36])/2 + (169*s[37])/4 + (941*s[38])/2 - 
       (6649*s[39])/4 + (6735*s[40])/4 - (2463*s[41])/2 + (9245*s[42])/4 + 
       (51303*s[43])/44 - (235453*s[44])/176 + (61559*s[45])/88 - 
       (740559*s[46])/88 + (336695*s[47])/528 - (200413*s[48])/528 - 
       (3141269*s[49])/528 + (71263*s[50])/11 + (259921*s[51])/176 + 
       (710209*s[52])/528 - (546347*s[53])/132 - (312*s[54])/11 - 
       (4275109*s[55])/176 - (2901827*s[56])/528 + (11127847*s[57])/792 - 
       (68237803*s[58])/4752 + (69584473*s[59])/4752 + 
       (214416101*s[60])/3168 - (116346817*s[61])/42768 + 14*s[63] - 
       4*s[64] - 9*s[65] - 8*s[66] + 21*s[67] - 12*s[68] + 15*s[69] - 
       67*s[70] + 12*s[71] + 13*s[72] - 33*s[73] - (61*s[74])/4 + 
       (23*s[75])/4 + 2*s[76] + (155*s[77])/2 + 19*s[78] + 72*s[79] - 
       (181*s[80])/2 - 354*s[82] + 24*s[84] - 108*s[85]) + 
     HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((153*s[2])/4 - (813*s[3])/8 + (7949*s[4])/16 + (7657*s[5])/88 + 
       (58765*s[6])/176 + (5848375*s[7])/1056 - (1903907*s[8])/4752 - 
       (257039*s[9])/54 - (146315*s[10])/108 - (20223839*s[11])/3168 - 
       (5732671*s[12])/792 - (15641801*s[13])/3168 + (2188585*s[14])/3168 - 
       (2019331*s[15])/288 - (887494*s[16])/99 - (18465617*s[17])/3168 - 
       (88301*s[18])/324 - (1911175*s[19])/1296 - (135538255*s[20])/14256 - 
       (78116765*s[21])/28512 + (88216021*s[22])/28512 + 
       (4900981*s[23])/792 + (24168899*s[24])/3564 - (1148277073*s[25])/
        128304 + (501546649*s[26])/128304 - (45*s[30])/2 + 28*s[31] - 
       (33*s[32])/2 + 80*s[33] - (87*s[34])/2 + (147*s[35])/2 - 
       (583*s[36])/6 + (953*s[37])/12 + (615*s[38])/2 - (2125*s[39])/2 + 
       (3476*s[40])/3 - (3455*s[41])/4 + (4489*s[42])/3 + (59309*s[43])/66 - 
       (529495*s[44])/528 + (73729*s[45])/264 - (424777*s[46])/88 + 
       (401597*s[47])/1584 - (87331*s[48])/1584 - (6860903*s[49])/1584 + 
       (259583*s[50])/66 + (1442653*s[51])/1584 + (1362655*s[52])/1584 - 
       (302839*s[53])/132 - (8739*s[54])/22 - (2389173*s[55])/176 - 
       (3518281*s[56])/1584 + (21250193*s[57])/2376 - 
       (117994325*s[58])/14256 + (125893571*s[59])/14256 + 
       (401724839*s[60])/9504 - (95377889*s[61])/128304 - 2*s[64] - 4*s[65] - 
       4*s[66] + 8*s[67] - 10*s[68] + 9*s[69] - 57*s[70] + 9*s[71] + 
       7*s[72] - 33*s[73] - (41*s[74])/4 + (5*s[75])/4 - 21*s[76] + 
       (125*s[77])/2 - 13*s[78] + 172*s[79] - (145*s[80])/6 + s[81]/3 - 
       354*s[82] + 24*s[84] - 108*s[85]) + HPL[{0, 1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - v]*((-7481*s[2])/144 - (1871*s[3])/32 - 
       (172179*s[4])/64 - (2949911*s[5])/1584 - (29589685*s[6])/6336 - 
       (4911279217*s[7])/114048 + (596907655*s[8])/171072 + 
       (141642605*s[9])/3888 + (87299663*s[10])/7776 + 
       (5413277827*s[11])/114048 + (371128589*s[12])/7128 + 
       (1193058275*s[13])/38016 + (562417555*s[14])/114048 + 
       (21864469*s[15])/384 + (57340169*s[16])/792 + (6290974781*s[17])/
        114048 + (91667143*s[18])/11664 + (297125351*s[19])/46656 + 
       (43747143107*s[20])/513216 + (31666510045*s[21])/1026432 - 
       (23307504785*s[22])/1026432 - (484214011*s[23])/9504 - 
       (2997667025*s[24])/64152 + (279721958363*s[25])/4618944 - 
       (152956916855*s[26])/4618944 - (20*s[30])/9 - (767*s[31])/36 + 
       (169*s[32])/18 - (5219*s[33])/288 + (329*s[34])/9 + (1831*s[35])/72 + 
       (23315*s[36])/216 - (46067*s[37])/432 - (13015*s[38])/9 + 
       (203065*s[39])/36 - (1359797*s[40])/216 + (355657*s[41])/72 - 
       (876341*s[42])/108 - (1481033*s[43])/297 + (99878423*s[44])/19008 - 
       (51011659*s[45])/9504 + (410031821*s[46])/9504 - 
       (103383481*s[47])/57024 - (41365393*s[48])/57024 + 
       (1293378271*s[49])/57024 - (157898165*s[50])/4752 - 
       (316360529*s[51])/57024 - (255696935*s[52])/57024 + 
       (325498391*s[53])/14256 - (2123969*s[54])/4752 + 
       (2746514579*s[55])/19008 + (239219657*s[56])/6336 - 
       (1159857101*s[57])/28512 + (11565465451*s[58])/171072 - 
       (11750545801*s[59])/171072 - (121239202003*s[60])/342144 + 
       (3121011163*s[61])/171072 + (3*s[64])/8 + (73*s[65])/72 + 
       (23*s[66])/9 - (391*s[67])/36 - (125*s[68])/18 - (415*s[69])/36 - 
       (205*s[70])/36 + (299*s[71])/72 - (643*s[72])/36 + (361*s[73])/12 + 
       (1361*s[74])/48 - (1259*s[75])/48 + (257*s[76])/9 + (895*s[77])/72 - 
       (973*s[78])/36 - (4916*s[79])/9 + (21547*s[80])/216 - (297*s[82])/2 + 
       (11*s[83])/6 - (499*s[84])/2 - (304*s[85])/3) + 
     HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v]*((3007*s[2])/144 - 
       (4067*s[3])/288 - (43967*s[4])/576 - (79235*s[5])/1584 - 
       (320849*s[6])/6336 - (268940545*s[7])/114048 + (11274893*s[8])/57024 + 
       (330755*s[9])/162 + (2380327*s[10])/2592 + (30998807*s[11])/12672 + 
       (6316075*s[12])/2376 + (153742541*s[13])/114048 + 
       (813271*s[14])/1408 + (34803631*s[15])/10368 + 
       (117458789*s[16])/28512 + (376828681*s[17])/114048 + 
       (249479*s[18])/648 + (2689267*s[19])/5184 + (308793539*s[20])/57024 + 
       (564280051*s[21])/342144 - (433697719*s[22])/342144 - 
       (16294679*s[23])/14256 - (255588535*s[24])/85536 + 
       (4698434159*s[25])/1539648 - (2471696387*s[26])/1539648 - 
       (46*s[30])/9 + (517*s[31])/36 + (49*s[32])/36 + (3377*s[33])/288 - 
       (541*s[34])/18 - (313*s[35])/72 - (5503*s[36])/216 - (85*s[37])/16 + 
       (727*s[38])/36 - (13387*s[39])/144 + (5831*s[40])/432 - 
       (3317*s[41])/48 + (77029*s[42])/432 + (170395*s[43])/4752 - 
       (343177*s[44])/19008 - (1016273*s[45])/3168 + (9764059*s[46])/9504 + 
       (6447527*s[47])/57024 - (10529653*s[48])/57024 - 
       (7923569*s[49])/57024 - (4435553*s[50])/4752 + (4713019*s[51])/57024 + 
       (2394829*s[52])/57024 + (8485813*s[53])/14256 - (190825*s[54])/4752 + 
       (94155835*s[55])/19008 + (79310113*s[56])/57024 + 
       (176420329*s[57])/85536 + (530683133*s[58])/513216 - 
       (383128547*s[59])/513216 - (3637925875*s[60])/342144 + 
       (3363530531*s[61])/4618944 + (3*s[64])/8 - (155*s[65])/72 - 
       (91*s[66])/9 + (521*s[67])/36 + (103*s[68])/18 + (953*s[69])/36 + 
       (11*s[70])/36 - (43*s[71])/72 + (373*s[72])/36 - (389*s[73])/36 - 
       (557*s[74])/144 + (863*s[75])/144 - (2*s[76])/3 - (721*s[77])/72 + 
       (1223*s[78])/36 - 115*s[79] + (4253*s[80])/72 - (1057*s[82])/2 + 
       (34*s[83])/3 - (157*s[84])/2 - (304*s[85])/3) + 
     HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - w]*((-1189*s[2])/16 - 
       (1565*s[3])/32 - (153407*s[4])/64 - (2021315*s[5])/1056 - 
       (3132315*s[6])/704 - (1518297997*s[7])/38016 + 
       (180693475*s[8])/57024 + (21928663*s[9])/648 + (3361027*s[10])/324 + 
       (1666407943*s[11])/38016 + (453404381*s[12])/9504 + 
       (121102217*s[13])/4224 + (193095103*s[14])/38016 + 
       (61388041*s[15])/1152 + (106568447*s[16])/1584 + 
       (1982758289*s[17])/38016 + (29190403*s[18])/3888 + 
       (88114823*s[19])/15552 + (13558154351*s[20])/171072 + 
       (9963272989*s[21])/342144 - (7186925501*s[22])/342144 - 
       (50196139*s[23])/1056 - (229869371*s[24])/5346 + 
       (85615229141*s[25])/1539648 - (47394720737*s[26])/1539648 + s[28]/2 - 
       s[29] + (45*s[30])/8 - (233*s[31])/6 + (41*s[32])/3 - (491*s[33])/16 + 
       (527*s[34])/8 + (185*s[35])/8 + (1041*s[36])/8 - (24629*s[37])/144 - 
       (36191*s[38])/24 + (288815*s[39])/48 - (316021*s[40])/48 + 
       (124921*s[41])/24 - (69977*s[42])/8 - (906627*s[43])/176 + 
       (11511113*s[44])/2112 - (17147359*s[45])/3168 + 
       (141643399*s[46])/3168 - (1510379*s[47])/704 - (684701*s[48])/2112 + 
       (49712263*s[49])/2112 - (9084151*s[50])/264 - (38139107*s[51])/6336 - 
       (10073215*s[52])/2112 + (113420755*s[53])/4752 - (327337*s[54])/396 + 
       (946717495*s[55])/6336 + (741055385*s[56])/19008 - 
       (1248314863*s[57])/28512 + (12020662213*s[58])/171072 - 
       (12243705271*s[59])/171072 - (13833539377*s[60])/38016 + 
       (29108138863*s[61])/1539648 - (9*s[63])/2 + s[64]/4 + (13*s[65])/4 + 
       10*s[66] - (269*s[67])/12 - (26*s[68])/3 - (317*s[69])/12 + 
       (52*s[70])/3 + (7*s[71])/3 - (105*s[72])/4 + (141*s[73])/4 + 
       (1627*s[74])/48 - (1513*s[75])/48 + (69*s[76])/2 - (191*s[77])/24 - 
       (461*s[78])/12 - (1309*s[79])/3 + (4957*s[80])/72 - (309*s[82])/2 - 
       (45*s[83])/4 - 244*s[84] - 100*s[85]) + HPL[{0, 1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - u]*((-93*s[2])/8 - (473*s[3])/4 - (5051*s[4])/4 - 
       (320273*s[5])/264 - (454605*s[6])/176 - (227739731*s[7])/9504 + 
       (3317473*s[8])/1782 + (26256631*s[9])/1296 + (8764655*s[10])/1296 + 
       (7713469*s[11])/297 + (264634525*s[12])/9504 + (51930341*s[13])/3168 + 
       (37903853*s[14])/9504 + (9463027*s[15])/288 + (16221611*s[16])/396 + 
       (19574167*s[17])/594 + (8763571*s[18])/1944 + (7235057*s[19])/1944 + 
       (2088812653*s[20])/42768 + (1535938511*s[21])/85536 - 
       (1069923505*s[22])/85536 - (81175183*s[23])/3168 - 
       (2267290495*s[24])/85536 + (25078032035*s[25])/769824 - 
       (14120433971*s[26])/769824 - (41*s[30])/6 - (13*s[31])/6 - 
       (33*s[32])/8 + (163*s[33])/48 + (5*s[34])/6 + (259*s[35])/12 + 
       (109*s[36])/3 - (871*s[37])/8 - (2095*s[38])/3 + (34717*s[39])/12 - 
       (6385*s[40])/2 + (29729*s[41])/12 - (199951*s[42])/48 - 
       (110771*s[43])/44 + (353437*s[44])/132 - (1694983*s[45])/528 + 
       (12788377*s[46])/528 - (200339*s[47])/198 - (21679*s[48])/99 + 
       (18468541*s[49])/1584 - (823143*s[50])/44 - (1544339*s[51])/528 - 
       (223253*s[52])/99 + (2333237*s[53])/176 - (25951*s[54])/66 + 
       (22182821*s[55])/264 + (34549511*s[56])/1584 - (5346302*s[57])/297 + 
       (65513543*s[58])/1782 - (534158509*s[59])/14256 - 
       (942072299*s[60])/4752 + (2781014333*s[61])/256608 + (7*s[62])/4 - 
       s[64]/4 + s[65]/12 + s[66]/3 + (2*s[67])/3 - (3*s[68])/2 + 
       (85*s[69])/12 + (2*s[70])/3 - (7*s[71])/6 - (85*s[72])/6 + 2*s[73] + 
       (353*s[74])/24 - (347*s[75])/24 + (35*s[76])/6 - (16*s[77])/3 - 
       (33*s[78])/2 - (638*s[79])/3 + (889*s[80])/12 - s[81]/12 - 
       (1069*s[82])/2 - (7*s[83])/4 - 73*s[84] - 100*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((-571*s[2])/12 - (361*s[3])/8 - (51631*s[4])/48 - (276277*s[5])/264 - 
       (314323*s[6])/132 - (7458795*s[7])/352 + (5603657*s[8])/3564 + 
       (23304547*s[9])/1296 + (1952165*s[10])/324 + (27455227*s[11])/1188 + 
       (235958389*s[12])/9504 + (140546603*s[13])/9504 + 
       (34643573*s[14])/9504 + (24723355*s[15])/864 + 
       (172021579*s[16])/4752 + (34327801*s[17])/1188 + (980042*s[18])/243 + 
       (12237649*s[19])/3888 + (1845115993*s[20])/42768 + 
       (1372079633*s[21])/85536 - (953807473*s[22])/85536 - 
       (211973629*s[23])/9504 - (1990380679*s[24])/85536 + 
       (22189170527*s[25])/769824 - (12572573957*s[26])/769824 - 
       (29*s[30])/6 - (50*s[31])/3 + 6*s[32] - (23*s[33])/6 + (45*s[34])/2 + 
       (79*s[35])/6 + (191*s[36])/3 - (559*s[37])/18 - (6979*s[38])/12 + 
       (19871*s[39])/8 - (67037*s[40])/24 + (17627*s[41])/8 - 
       (7189*s[42])/2 - (578759*s[43])/264 + (1268767*s[44])/528 - 
       (2013775*s[45])/792 + (7949903*s[46])/396 - (136835*s[47])/176 - 
       (224275*s[48])/528 + (2725915*s[49])/264 - (1030763*s[50])/66 - 
       (26858*s[51])/11 - (993151*s[52])/528 + (25664291*s[53])/2376 + 
       (133399*s[54])/792 + (107983199*s[55])/1584 + (42108655*s[56])/2376 - 
       (15069512*s[57])/891 + (329537023*s[58])/10692 - 
       (670488971*s[59])/21384 - (391694989*s[60])/2376 + 
       (1694975003*s[61])/192456 + (8*s[65])/3 + (20*s[66])/3 - 
       (34*s[67])/3 - (20*s[68])/3 - 18*s[69] - (35*s[70])/3 - (13*s[71])/6 - 
       (43*s[72])/3 + 9*s[73] + (63*s[74])/4 - (63*s[75])/4 + (22*s[76])/3 + 
       (109*s[77])/6 - (89*s[78])/3 - (646*s[79])/3 + (1279*s[80])/18 - 
       (893*s[82])/2 - (23*s[83])/4 - (179*s[84])/2 - 98*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((-67*s[2])/6 - (7*s[3])/3 - (1333*s[4])/12 - (3747*s[5])/22 - 
       (60705*s[6])/176 - (17258893*s[7])/4752 + (3883057*s[8])/14256 + 
       (4018895*s[9])/1296 + (832271*s[10])/648 + (36026383*s[11])/9504 + 
       (36816455*s[12])/9504 + (2566669*s[13])/1188 + (4693409*s[14])/4752 + 
       (2271311*s[15])/432 + (3831419*s[16])/594 + (17820371*s[17])/3168 + 
       (2737915*s[18])/3888 + (2253929*s[19])/3888 + (338553587*s[20])/
        42768 + (31234439*s[21])/10692 - (20634409*s[22])/10692 - 
       (27066835*s[23])/9504 - (348566555*s[24])/85536 + 
       (3499754395*s[25])/769824 - (2064913573*s[26])/769824 - (15*s[30])/2 - 
       3*s[31] - (11*s[32])/2 + (53*s[33])/24 - (5*s[34])/6 + (59*s[35])/6 + 
       (697*s[36])/36 - (77*s[37])/36 - (211*s[38])/6 + (21173*s[39])/48 - 
       (80275*s[40])/144 + (20983*s[41])/48 - (101351*s[42])/144 - 
       (488585*s[43])/1584 + (1542649*s[44])/3168 - (371191*s[45])/792 + 
       (6198517*s[46])/1584 - (1726523*s[47])/9504 + (64255*s[48])/9504 + 
       (17067137*s[49])/9504 - (1291421*s[50])/396 - (4697281*s[51])/9504 - 
       (2775151*s[52])/9504 + (2649047*s[53])/1188 + (78757*s[54])/396 + 
       (44115547*s[55])/3168 + (11358125*s[56])/3168 - (7326373*s[57])/2376 + 
       (55925509*s[58])/9504 - (6244255*s[59])/1056 - 
       (1829968259*s[60])/57024 + (471968293*s[61])/256608 + (5*s[65])/3 + 
       (8*s[66])/3 - (10*s[67])/3 - (11*s[68])/3 - 4*s[69] - 7*s[70] - 
       5*s[71] - (17*s[72])/3 + (5*s[73])/2 + (77*s[74])/12 - (23*s[75])/4 + 
       2*s[76] + (49*s[77])/6 - (15*s[78])/2 - 121*s[79] + (608*s[80])/9 - 
       (1103*s[82])/2 - (11*s[83])/4 - (71*s[84])/2 - 98*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((-1217*s[2])/72 - (245*s[3])/48 - (25397*s[4])/32 - 
       (1426543*s[5])/3168 - (263063*s[6])/198 - (85607447*s[7])/7128 + 
       (87499993*s[8])/85536 + (39200347*s[9])/3888 + (1514143*s[10])/486 + 
       (758980159*s[11])/57024 + (420724483*s[12])/28512 + 
       (168952229*s[13])/19008 + (70898959*s[14])/57024 + 
       (3351659*s[15])/216 + (14164543*s[16])/704 + (855830963*s[17])/57024 + 
       (51855481*s[18])/23328 + (20228527*s[19])/11664 + 
       (1515511091*s[20])/64152 + (4294291885*s[21])/513216 - 
       (3248982947*s[22])/513216 - (274512343*s[23])/19008 - 
       (6666933893*s[24])/513216 + (19723289329*s[25])/1154736 - 
       (21157900661*s[26])/2309472 + s[29]/2 + (11*s[30])/36 - (40*s[31])/9 - 
       (19*s[32])/18 - (197*s[33])/144 + (41*s[34])/18 + (175*s[35])/36 + 
       (3047*s[36])/108 - (5839*s[37])/432 - (30559*s[38])/72 + 
       (245419*s[39])/144 - (835469*s[40])/432 + (18617*s[41])/12 - 
       (2120057*s[42])/864 - (7222495*s[43])/4752 + (15661607*s[44])/9504 - 
       (17205503*s[45])/9504 + (133950655*s[46])/9504 - 
       (14675011*s[47])/28512 - (11552221*s[48])/28512 + 
       (6255461*s[49])/891 - (25851413*s[50])/2376 - (24745477*s[51])/14256 - 
       (39101033*s[52])/28512 + (52763147*s[53])/7128 - (452455*s[54])/4752 + 
       (449160127*s[55])/9504 + (60363421*s[56])/4752 - 
       (58337651*s[57])/4752 + (935829541*s[58])/42768 - 
       (466756505*s[59])/21384 - (19819720783*s[60])/171072 + 
       (4799561749*s[61])/769824 - (2*s[65])/9 - (7*s[66])/18 + (7*s[67])/9 - 
       (31*s[68])/18 + (59*s[69])/18 - (47*s[70])/9 + (115*s[71])/72 - 
       (79*s[72])/18 + (19*s[73])/6 + (81*s[74])/8 - (235*s[75])/24 + 
       (191*s[76])/18 + (55*s[77])/36 - (79*s[78])/18 - (3323*s[79])/18 + 
       (9881*s[80])/216 - 288*s[82] - (23*s[83])/6 - 106*s[84] - 
       (290*s[85])/3) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*((145*s[2])/72 - (5003*s[3])/144 - 
       (228979*s[4])/288 - (1040575*s[5])/3168 - (1813213*s[6])/1584 - 
       (608656801*s[7])/57024 + (1652873*s[8])/1584 + (7630741*s[9])/864 + 
       (780209*s[10])/288 + (224756071*s[11])/19008 + (20960293*s[12])/1584 + 
       (450927407*s[13])/57024 + (13753219*s[14])/19008 + 
       (71925793*s[15])/5184 + (512073391*s[16])/28512 + 
       (758651683*s[17])/57024 + (3593773*s[18])/1944 + 
       (6529939*s[19])/3888 + (1769615735*s[20])/85536 + 
       (1211646749*s[21])/171072 - (11796797*s[22])/2112 - 
       (388277327*s[23])/28512 - (330786257*s[24])/28512 + 
       (23739854855*s[25])/1539648 - (12388401257*s[26])/1539648 - s[27]/2 + 
       (9*s[29])/2 - (47*s[30])/9 + (47*s[31])/9 + (7*s[32])/18 + 
       (221*s[33])/36 - (457*s[34])/36 + (305*s[35])/36 + (3647*s[36])/108 - 
       (345*s[37])/16 - (2873*s[38])/8 + (224641*s[39])/144 - 
       (770039*s[40])/432 + (12743*s[41])/9 - (1972379*s[42])/864 - 
       (6487453*s[43])/4752 + (28734331*s[44])/19008 - (5129713*s[45])/3168 + 
       (121602935*s[46])/9504 - (28626629*s[47])/57024 - 
       (14925161*s[48])/57024 + (361649117*s[49])/57024 - 
       (23644439*s[50])/2376 - (91498399*s[51])/57024 - 
       (70514023*s[52])/57024 + (195137293*s[53])/28512 - 
       (355879*s[54])/2376 + (825521033*s[55])/19008 + 
       (661725479*s[56])/57024 - (237626545*s[57])/21384 + 
       (10175136079*s[58])/513216 - (10239435031*s[59])/513216 - 
       (35953968137*s[60])/342144 + (3289054937*s[61])/577368 + 
       (10*s[65])/9 + (35*s[66])/18 - (35*s[67])/9 - (14*s[68])/9 - 
       (47*s[69])/9 - (103*s[70])/18 - (83*s[71])/72 - (161*s[72])/18 + 
       (145*s[73])/18 + (673*s[74])/72 - (649*s[75])/72 + (14*s[76])/3 + 
       (323*s[77])/36 - (74*s[78])/9 - (387*s[79])/2 + (4783*s[80])/72 - 
       328*s[82] - (31*s[83])/12 - (167*s[84])/2 - (290*s[85])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      ((15*s[2])/2 + (285*s[3])/8 + (10569*s[4])/16 - (5215*s[5])/16 - 
       (151*s[6])/2 + (68125*s[7])/32 - (19375*s[8])/36 - (238789*s[9])/144 + 
       (65809*s[10])/144 - (278827*s[11])/96 - (217027*s[12])/48 - 
       (308839*s[13])/96 + (274211*s[14])/96 - (27899*s[15])/32 - 
       (45181*s[16])/24 + (175973*s[17])/96 - (41597*s[18])/432 - 
       (108709*s[19])/432 - (526955*s[20])/432 + (765803*s[21])/864 + 
       (1019651*s[22])/864 + (101857*s[23])/12 + (153001*s[24])/108 - 
       (41229877*s[25])/7776 + (9631273*s[26])/7776 + 3*s[30] + 9*s[31] - 
       (3*s[32])/4 + 39*s[33] - (45*s[34])/2 + (27*s[35])/2 + 7*s[36] + 
       s[37] + 309*s[38] - (3425*s[39])/4 + (3889*s[40])/4 - (1519*s[41])/2 + 
       (9429*s[42])/8 + (24119*s[43])/44 - (75133*s[44])/176 + 
       (15841*s[45])/88 - (239593*s[46])/88 + (322669*s[47])/528 - 
       (339179*s[48])/528 - (742375*s[49])/528 + (63869*s[50])/44 + 
       (541345*s[51])/528 + (596297*s[52])/528 - (19997*s[53])/33 + 
       (70765*s[54])/44 - (1879903*s[55])/528 - (360341*s[56])/176 + 
       (1272283*s[57])/88 - (12390677*s[58])/1584 + (10399421*s[59])/1584 + 
       (51579553*s[60])/3168 - (2301733*s[61])/3564 + 3*s[65] + 12*s[66] - 
       18*s[67] - 36*s[69] - 18*s[70] - (21*s[71])/2 - 18*s[72] + 18*s[73] + 
       9*s[74] - (15*s[75])/2 - 27*s[76] + (51*s[77])/2 - 18*s[78] + 
       192*s[79] + (13*s[80])/2 - 1152*s[82] - 27*s[83] + 54*s[84] - 
       90*s[85]) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      ((3*s[2])/2 - (57*s[3])/8 + (8359*s[4])/16 - (50417*s[5])/176 - 
       (20661*s[6])/88 + (1645337*s[7])/1056 - (103423*s[8])/396 - 
       (195389*s[9])/144 + (34955*s[10])/144 - (2058787*s[11])/1056 - 
       (1501747*s[12])/528 - (2322647*s[13])/1056 + (2442119*s[14])/1056 - 
       (48755*s[15])/32 - (815101*s[16])/528 + (270463*s[17])/352 + 
       (149051*s[18])/432 - (300227*s[19])/432 - (3896273*s[20])/4752 + 
       (8118371*s[21])/9504 + (8590679*s[22])/9504 + (2442191*s[23])/528 + 
       (8296669*s[24])/4752 - (332794417*s[25])/85536 + 
       (68239165*s[26])/85536 + 24*s[29] - (9*s[30])/2 + 18*s[31] - 
       (3*s[32])/2 + (249*s[33])/8 - 30*s[34] - 9*s[35] + (117*s[36])/2 + 
       (21*s[37])/2 + (331*s[38])/2 - (627*s[39])/4 + (681*s[40])/4 - 
       (881*s[41])/4 + (827*s[42])/8 + (6379*s[43])/44 + (20285*s[44])/88 - 
       (2109*s[45])/88 + (64597*s[46])/88 + (6179*s[47])/33 - 
       (62173*s[48])/132 + (40949*s[49])/66 - (9345*s[50])/11 + 
       (7981*s[51])/44 + (132437*s[52])/264 + (208243*s[53])/264 + 
       (38451*s[54])/44 + (43720*s[55])/11 + (82215*s[56])/88 + 
       (472277*s[57])/88 - (788417*s[58])/792 + (411239*s[59])/792 - 
       (2990507*s[60])/396 + (5409935*s[61])/7128 + 3*s[64] + (27*s[65])/2 + 
       24*s[66] - 36*s[67] - 18*s[68] - 66*s[69] - (33*s[70])/2 - 21*s[71] - 
       36*s[72] + 36*s[73] + 21*s[74] - (27*s[75])/2 - 15*s[76] + 33*s[77] - 
       42*s[78] + 132*s[79] + 72*s[80] - 1152*s[82] - 27*s[83] + 54*s[84] - 
       90*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[w, u, v]*
      ((-64*s[2])/9 + (352*s[3])/9 + 104*s[4] - (15544*s[5])/99 - 
       (27364*s[6])/99 - (1670384*s[7])/891 - (58292*s[8])/2673 + 
       (402980*s[9])/243 + (215896*s[10])/243 + (1692146*s[11])/891 + 
       (1532794*s[12])/891 + (230900*s[13])/297 + (1395044*s[14])/891 + 
       (77776*s[15])/27 + (1076116*s[16])/297 + (3219286*s[17])/891 + 
       (344104*s[18])/729 + (146120*s[19])/729 + (41458376*s[20])/8019 + 
       (17625512*s[21])/8019 - (8105920*s[22])/8019 + (106778*s[23])/297 - 
       (20005582*s[24])/8019 + (126724982*s[25])/72171 - 
       (112346690*s[26])/72171 + (64*s[30])/9 - (64*s[34])/9 - 
       (256*s[35])/9 - (448*s[36])/27 + (688*s[37])/27 + (112*s[38])/3 - 
       152*s[39] + (2824*s[40])/27 - 8*s[41] + (7520*s[42])/27 - 
       (17992*s[43])/297 + (19864*s[44])/297 - (117464*s[45])/297 + 
       (59152*s[46])/33 + (257008*s[47])/891 - (504632*s[48])/891 + 
       (308252*s[49])/891 - (443776*s[50])/297 + (156788*s[51])/891 + 
       (162608*s[52])/891 + (106240*s[53])/99 - (472*s[54])/33 + 
       (2524096*s[55])/297 + (2221972*s[56])/891 + (12477224*s[57])/2673 + 
       (10358036*s[58])/8019 - (10724012*s[59])/8019 - 
       (48654022*s[60])/2673 + (86877608*s[61])/72171 + (64*s[68])/9 - 
       (64*s[69])/9 - (32*s[74])/9 + (32*s[75])/9 - (128*s[76])/9 + 
       (64*s[77])/9 + (128*s[78])/9 - (256*s[79])/9 + (896*s[80])/27 - 
       (1888*s[82])/3 - (256*s[85])/3) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Qep[w, u, v]*((128*s[3])/9 + (112*s[4])/9 - (5728*s[5])/99 - 
       (8452*s[6])/33 - (132656*s[7])/99 - (644*s[8])/33 + (10436*s[9])/9 + 
       (5296*s[10])/9 + (155366*s[11])/99 + (160802*s[12])/99 + 
       (109000*s[13])/99 + (8408*s[14])/11 + (14144*s[15])/9 + 
       (241772*s[16])/99 + (22030*s[17])/11 + (932*s[18])/9 + 
       (3572*s[19])/9 + (34328*s[20])/11 + (354064*s[21])/297 - 
       (219284*s[22])/297 + (94478*s[23])/99 - (614302*s[24])/297 + 
       (4883114*s[25])/2673 - (3042938*s[26])/2673 + (32*s[32])/9 + 
       (64*s[37])/3 - (64*s[38])/9 - (232*s[39])/9 - (152*s[40])/9 + 
       (184*s[41])/3 + (1328*s[42])/9 - (15848*s[43])/99 + (20816*s[44])/99 - 
       (35144*s[45])/99 + (58864*s[46])/33 + (67048*s[47])/297 - 
       (169232*s[48])/297 + (269480*s[49])/297 - (45824*s[50])/33 + 
       (37280*s[51])/297 + (23000*s[52])/297 + (250984*s[53])/297 + 
       (26800*s[54])/99 + (2032232*s[55])/297 + (184936*s[56])/99 + 
       (847432*s[57])/297 + (1510640*s[58])/891 - (1458320*s[59])/891 - 
       (16389760*s[60])/891 + (2378468*s[61])/2673 + (64*s[68])/9 - 
       (64*s[69])/9 + (64*s[77])/9 - (1504*s[82])/3 - (256*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[u, w, v]*((-16*s[3])/9 + 
       (352*s[4])/9 - (21952*s[5])/99 - (3996*s[6])/11 - (260680*s[7])/99 + 
       (3100*s[8])/99 + (20428*s[9])/9 + (9368*s[10])/9 + (262778*s[11])/99 + 
       (245606*s[12])/99 + (139100*s[13])/99 + (18896*s[14])/11 + 
       (36496*s[15])/9 + (158416*s[16])/33 + (468014*s[17])/99 + 
       (11276*s[18])/27 + (14020*s[19])/27 + (1946716*s[20])/297 + 
       (810988*s[21])/297 - (133828*s[22])/99 + (15094*s[23])/33 - 
       (1032506*s[24])/297 + (7685318*s[25])/2673 - (5921714*s[26])/2673 + 
       (32*s[32])/9 + (64*s[37])/3 - (16*s[38])/9 - (1888*s[39])/9 + 
       (1504*s[40])/9 - (224*s[41])/3 + (4280*s[42])/9 - (6560*s[43])/99 + 
       (7592*s[44])/99 - (63200*s[45])/99 + (77744*s[46])/33 + 
       (104056*s[47])/297 - (167072*s[48])/297 + (141032*s[49])/297 - 
       (61456*s[50])/33 + (98984*s[51])/297 + (55544*s[52])/297 + 
       (424648*s[53])/297 - (6752*s[54])/99 + (3625184*s[55])/297 + 
       (311632*s[56])/99 + (2376040*s[57])/297 + (1272584*s[58])/891 - 
       (1606256*s[59])/891 - (22122904*s[60])/891 + (1305400*s[61])/891 + 
       (64*s[68])/9 - (64*s[69])/9 + (64*s[77])/9 - (1312*s[82])/3 - 
       (256*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[u, w, v]*
      ((-64*s[2])/9 + (496*s[3])/9 + 104*s[4] + (8408*s[5])/99 + 
       (3548*s[6])/99 + (547936*s[7])/891 - (342044*s[8])/2673 - 
       (138388*s[9])/243 + (15952*s[10])/243 - (618154*s[11])/891 - 
       (774770*s[12])/891 - (168868*s[13])/297 + (366380*s[14])/891 - 
       (16904*s[15])/27 - (227864*s[16])/297 - (200282*s[17])/891 - 
       (379100*s[18])/729 + (269492*s[19])/729 - (6055864*s[20])/8019 - 
       (5388604*s[21])/8019 + (2422280*s[22])/8019 + (1072562*s[23])/297 - 
       (2685154*s[24])/8019 - (61225006*s[25])/72171 + 
       (47980678*s[26])/72171 + (64*s[30])/9 - (64*s[34])/9 - (256*s[35])/9 - 
       (448*s[36])/27 + (1120*s[37])/27 + 96*s[38] - 528*s[39] + 
       (12976*s[40])/27 - (944*s[41])/3 + (24008*s[42])/27 + 
       (65456*s[43])/297 - (59480*s[44])/297 - (52160*s[45])/297 - 
       (7472*s[46])/11 + (333328*s[47])/891 - (456824*s[48])/891 - 
       (876256*s[49])/891 + (92192*s[50])/297 + (334160*s[51])/891 + 
       (382424*s[52])/891 - (2240*s[53])/11 + (688*s[54])/11 + 
       (136168*s[55])/297 - (103376*s[56])/891 + (24082472*s[57])/2673 - 
       (25538464*s[58])/8019 + (26407576*s[59])/8019 + (752396*s[60])/2673 + 
       (1725224*s[61])/72171 + (64*s[68])/9 - (64*s[69])/9 - (32*s[74])/9 + 
       (32*s[75])/9 - (128*s[76])/9 + (64*s[77])/9 + (128*s[78])/9 - 
       (256*s[79])/9 + (896*s[80])/27 - (928*s[82])/3 - (256*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - u]*
      (10*s[2] - 12*s[3] + 30*s[4] - (16987*s[5])/88 - (52017*s[6])/176 - 
       (1335391*s[7])/528 + (43679*s[8])/528 + (106459*s[9])/48 + 
       (6283*s[10])/6 + (911859*s[11])/352 + (874561*s[12])/352 + 
       (343813*s[13])/264 + (30263*s[14])/22 + (60771*s[15])/16 + 
       (1223125*s[16])/264 + (4642049*s[17])/1056 + (82453*s[18])/144 + 
       (56135*s[19])/144 + (4897267*s[20])/792 + (649169*s[21])/264 - 
       (2099741*s[22])/1584 - (507209*s[23])/1056 - (9727051*s[24])/3168 + 
       (26720773*s[25])/9504 - (18916657*s[26])/9504 - 2*s[30] + 4*s[31] + 
       s[32] + 3*s[33] - 6*s[34] + 2*s[35] + 2*s[36] + s[37] + (11*s[38])/2 - 
       (355*s[39])/8 + (291*s[40])/8 - 38*s[41] + (359*s[42])/4 - 
       (1289*s[43])/88 + (6371*s[44])/176 - (22635*s[45])/88 + 
       (48023*s[46])/44 + (42313*s[47])/528 - (119717*s[48])/528 + 
       (98297*s[49])/528 - (20417*s[50])/22 - (3349*s[51])/528 + 
       (30167*s[52])/528 + (42367*s[53])/66 + (1448*s[54])/11 + 
       (859823*s[55])/176 + (689189*s[56])/528 + (802777*s[57])/396 + 
       (4856119*s[58])/4752 - (4542613*s[59])/4752 - (33692375*s[60])/3168 + 
       (32400529*s[61])/42768 + s[74] - s[75] - 4*s[76] + 2*s[77] + 2*s[80] - 
       453*s[82] - 84*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*((9*s[2])/2 - (165*s[3])/4 - 
       (423*s[4])/8 - (30845*s[5])/88 - (155935*s[6])/264 - 
       (2858501*s[7])/528 + (202025*s[8])/792 + (167303*s[9])/36 + 
       (155843*s[10])/72 + (738913*s[11])/132 + (958849*s[12])/176 + 
       (1579961*s[13])/528 + (1140067*s[14])/528 + (1181483*s[15])/144 + 
       (217247*s[16])/22 + (810225*s[17])/88 + (228239*s[18])/216 + 
       (231541*s[19])/216 + (29460619*s[20])/2376 + (22957145*s[21])/4752 - 
       (13328695*s[22])/4752 - (1091759*s[23])/528 - (31609525*s[24])/4752 + 
       (136671619*s[25])/21384 - (44445323*s[26])/10692 + s[30] + 8*s[31] + 
       3*s[32] + 15*s[33] - 17*s[34] + 8*s[35] - (2*s[36])/3 + 
       (103*s[37])/6 + (20*s[38])/3 + (1597*s[39])/24 - (647*s[40])/8 + 
       (579*s[41])/8 - (889*s[42])/8 - (42487*s[43])/264 + 
       (69547*s[44])/528 - (109393*s[45])/264 + (77852*s[46])/33 + 
       (129185*s[47])/1584 - (425413*s[48])/1584 + (1328599*s[49])/1584 - 
       (67753*s[50])/33 - (110491*s[51])/1584 + (17959*s[52])/1584 + 
       (66469*s[53])/44 + (11386*s[54])/33 + (15488357*s[55])/1584 + 
       (3487565*s[56])/1584 + (2464537*s[57])/1188 + (36228565*s[58])/14256 - 
       (39319561*s[59])/14256 - (199835575*s[60])/9504 + 
       (43460695*s[61])/32076 + 4*s[68] - 4*s[69] - 6*s[70] + 6*s[73] - 
       s[74]/2 + s[75]/2 - 6*s[76] + 8*s[77] + 4*s[78] + 16*s[79] - 
       (2*s[80])/3 - 416*s[82] - 84*s[85]) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*(-32*s[2] - (153*s[3])/4 - 
       (10967*s[4])/8 - (37805*s[5])/44 - (409089*s[6])/176 - 
       (10993049*s[7])/528 + (2735587*s[8])/1584 + (2524397*s[9])/144 + 
       (96503*s[10])/18 + (24245407*s[11])/1056 + (26631779*s[12])/1056 + 
       (2688223*s[13])/176 + (1114181*s[14])/528 + (1319363*s[15])/48 + 
       (6154563*s[16])/176 + (28075715*s[17])/1056 + (1631473*s[18])/432 + 
       (1332329*s[19])/432 + (48479891*s[20])/1188 + (70128479*s[21])/4752 - 
       (6500711*s[22])/594 - (8876701*s[23])/352 - (214871795*s[24])/9504 + 
       (2516246533*s[25])/85536 - (1369195849*s[26])/85536 + s[30] - 
       8*s[31] + s[32] - (9*s[33])/2 + 3*s[34] + 2*s[35] + (123*s[36])/2 - 
       (157*s[37])/4 - (1639*s[38])/2 + 3179*s[39] - (7105*s[40])/2 + 
       (22497*s[41])/8 - (36499*s[42])/8 - (126817*s[43])/44 + 
       (516699*s[44])/176 - (68647*s[45])/22 + (271685*s[46])/11 - 
       (508225*s[47])/528 - (252013*s[48])/528 + (6811033*s[49])/528 - 
       (418669*s[50])/22 - (543701*s[51])/176 - (1347983*s[52])/528 + 
       (3475831*s[53])/264 - (9571*s[54])/44 + (14631337*s[55])/176 + 
       (3809307*s[56])/176 - (1483085*s[57])/66 + (60945061*s[58])/1584 - 
       (62201023*s[59])/1584 - (641446417*s[60])/3168 + 
       (50022397*s[61])/4752 + 3*s[68] - 3*s[69] + (9*s[71])/2 - 12*s[72] + 
       13*s[74] - 13*s[75] + 14*s[76] + 5*s[77] - 9*s[78] - 270*s[79] + 
       (73*s[80])/2 + 159*s[82] - 144*s[84] - 84*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      (-27*s[2] - (99*s[3])/4 - (10849*s[4])/8 - (64121*s[5])/88 - 
       (531859*s[6])/264 - (30082595*s[7])/1584 + (3930283*s[8])/2376 + 
       (1728151*s[9])/108 + (1011865*s[10])/216 + (16641569*s[11])/792 + 
       (36884063*s[12])/1584 + (22433861*s[13])/1584 + (1960153*s[14])/1584 + 
       (398327*s[15])/16 + (12522677*s[16])/396 + (258736*s[17])/11 + 
       (551167*s[18])/162 + (226186*s[19])/81 + (130511461*s[20])/3564 + 
       (185506795*s[21])/14256 - (142693169*s[22])/14256 - 
       (38679805*s[23])/1584 - (289840409*s[24])/14256 + 
       (872969701*s[25])/32076 - (928929869*s[26])/64152 + s[30] - 10*s[31] - 
       (3*s[32])/2 - (33*s[33])/4 + 16*s[34] - s[35] + (184*s[36])/3 - 
       (91*s[37])/2 - (1585*s[38])/2 + (24761*s[39])/8 - (82595*s[40])/24 + 
       (21847*s[41])/8 - (107719*s[42])/24 - (712345*s[43])/264 + 
       (1466285*s[44])/528 - (742187*s[45])/264 + (252269*s[46])/11 - 
       (554093*s[47])/528 - (30265*s[48])/176 + (2124893*s[49])/176 - 
       (584935*s[50])/33 - (4898213*s[51])/1584 - (1331557*s[52])/528 + 
       (1209565*s[53])/99 - (7109*s[54])/33 + (13448833*s[55])/176 + 
       (31226447*s[56])/1584 - (27779933*s[57])/1188 + 
       (517605091*s[58])/14256 - (527489791*s[59])/14256 - 
       (196945201*s[60])/1056 + (617810285*s[61])/64152 + s[68] - s[69] + 
       6*s[71] - 12*s[72] + (29*s[74])/2 - (29*s[75])/2 + 12*s[76] + 
       5*s[77] - 8*s[78] - 272*s[79] + (79*s[80])/3 + 250*s[82] - 144*s[84] - 
       84*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*(-49*s[2] + (21*s[3])/4 - (5681*s[4])/8 - 
       (3579*s[5])/4 - (15471*s[6])/8 - (2465741*s[7])/144 + 
       (239465*s[8])/216 + (1591543*s[9])/108 + (264325*s[10])/54 + 
       (2720015*s[11])/144 + (184888*s[12])/9 + (592951*s[13])/48 + 
       (496823*s[14])/144 + (1071431*s[15])/48 + 28714*s[16] + 
       (3182797*s[17])/144 + (1043843*s[18])/324 + (1654049*s[19])/648 + 
       (22920799*s[20])/648 + (16949213*s[21])/1296 - (11781829*s[22])/1296 - 
       (92911*s[23])/6 - (6315637*s[24])/324 + (34205281*s[25])/1458 - 
       (9715850*s[26])/729 - 6*s[29] + 6*s[30] - 12*s[31] + 2*s[32] + 
       (47*s[33])/4 - s[34] - 7*s[35] - (46*s[36])/3 - (157*s[37])/6 - 
       451*s[38] + (5189*s[39])/4 - (17987*s[40])/12 + (4357*s[41])/4 - 
       (19837*s[42])/12 - (185653*s[43])/132 + (171097*s[44])/132 - 
       (58856*s[45])/33 + (520217*s[46])/44 - (82517*s[47])/396 - 
       (172153*s[48])/198 + (2384345*s[49])/396 - (576263*s[50])/66 - 
       (237227*s[51])/198 - (220835*s[52])/198 + (767417*s[53])/132 - 
       (3154*s[54])/11 + (2558815*s[55])/66 + (4225681*s[56])/396 - 
       (10205785*s[57])/1188 + (64986917*s[58])/3564 - (15867755*s[59])/891 - 
       (237812633*s[60])/2376 + (344436025*s[61])/64152 - 4*s[63] + s[64] - 
       3*s[65] - 12*s[66] + 16*s[67] - 2*s[68] + 36*s[69] + 3*s[70] + 
       4*s[71] + 14*s[72] - 12*s[73] - (13*s[74])/2 + (15*s[75])/2 + 
       9*s[76] - 26*s[77] + 36*s[78] - 60*s[79] + (44*s[80])/3 - 316*s[82] + 
       9*s[83] - 54*s[84] - 80*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*(4*s[2] + (83*s[3])/2 - (3321*s[4])/4 - 
       (1591*s[5])/44 - (16717*s[6])/22 - (1053091*s[7])/132 + 
       (536245*s[8])/594 + (179392*s[9])/27 + (165305*s[10])/108 + 
       (1852379*s[11])/198 + (4450637*s[12])/396 + (2856217*s[13])/396 - 
       (205231*s[14])/198 + (325931*s[15])/36 + (5005333*s[16])/396 + 
       (1447229*s[17])/198 + (167347*s[18])/162 + (223049*s[19])/162 + 
       (24512273*s[20])/1782 + (14572975*s[21])/3564 - (7690423*s[22])/1782 - 
       (4839209*s[23])/396 - (31132397*s[24])/3564 + (208653359*s[25])/
        16038 - (47773501*s[26])/8019 + 2*s[29] - s[30] + s[32] - 
       (19*s[33])/4 + 5*s[34] - 8*s[35] + (49*s[36])/3 - 82*s[37] - 
       428*s[38] + (6347*s[39])/4 - (22081*s[40])/12 + (5645*s[41])/4 - 
       (27239*s[42])/12 - (16825*s[43])/12 + (35933*s[44])/24 - 
       (2177*s[45])/2 + (123073*s[46])/12 - (36763*s[47])/72 - 
       (18073*s[48])/72 + (447409*s[49])/72 - (23470*s[50])/3 - 
       (110249*s[51])/72 - (94835*s[52])/72 + (176255*s[53])/36 - 
       (1069*s[54])/6 + (749347*s[55])/24 + (608767*s[56])/72 - 
       (412016*s[57])/27 + (11337593*s[58])/648 - (11227199*s[59])/648 - 
       (36958579*s[60])/432 + (22118783*s[61])/5832 - 2*s[63] + s[64] + 
       s[67] - 2*s[68] + 4*s[69] + 3*s[70] - s[71] - s[74] + 2*s[75] + 
       2*s[76] - 5*s[77] - 312*s[79] + 109*s[80] - 316*s[82] + 9*s[83] - 
       54*s[84] - 80*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*((-75*s[2])/4 + (259*s[3])/24 - 
       (20951*s[4])/48 - (24097*s[5])/66 - (506117*s[6])/528 - 
       (80867261*s[7])/9504 + (3055007*s[8])/4752 + (774427*s[9])/108 + 
       (66686*s[10])/27 + (29456137*s[11])/3168 + (1985131*s[12])/198 + 
       (57376753*s[13])/9504 + (4589557*s[14])/3168 + (9849575*s[15])/864 + 
       (34531333*s[16])/2376 + (109752893*s[17])/9504 + (951953*s[18])/648 + 
       (1826789*s[19])/1296 + (245651957*s[20])/14256 + 
       (59428729*s[21])/9504 - (127782991*s[22])/28512 - 
       (9858829*s[23])/1188 - (68951449*s[24])/7128 + 
       (249962903*s[25])/21384 - (138881321*s[26])/21384 - (7*s[30])/6 - 
       (16*s[31])/3 + s[32]/3 - (11*s[33])/4 + (23*s[34])/6 - (23*s[35])/6 + 
       (245*s[36])/18 + (241*s[37])/36 - (539*s[38])/3 + (2168*s[39])/3 - 
       (15665*s[40])/18 + (8591*s[41])/12 - (72193*s[42])/72 - 
       (79454*s[43])/99 + (1313837*s[44])/1584 - (857977*s[45])/792 + 
       (6067631*s[46])/792 - (325759*s[47])/4752 - (2251375*s[48])/4752 + 
       (17423179*s[49])/4752 - (1196485*s[50])/198 - (3244217*s[51])/4752 - 
       (2472989*s[52])/4752 + (4987877*s[53])/1188 + (48919*s[54])/396 + 
       (43455059*s[55])/1584 + (11288527*s[56])/1584 - (1693771*s[57])/594 + 
       (51820387*s[58])/4752 - (53064653*s[59])/4752 - 
       (1868824339*s[60])/28512 + (451332917*s[61])/128304 - s[65]/6 - 
       (2*s[66])/3 + 2*s[67] + (4*s[68])/3 + 3*s[69] - s[70] + s[71]/6 - 
       3*s[72] + s[73]/3 + (7*s[74])/12 - (7*s[75])/12 + (16*s[76])/3 + 
       s[77]/2 - (13*s[78])/3 - (352*s[79])/3 + (583*s[80])/18 - 372*s[82] + 
       (5*s[83])/4 - (75*s[84])/2 - 74*s[85]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*
      (-s[2]/3 + (391*s[3])/12 + (3547*s[4])/24 + (631*s[5])/264 - 
       (310*s[6])/33 - (552071*s[7])/4752 - (110063*s[8])/1782 + 
       (64751*s[9])/648 + (299767*s[10])/648 + (11369*s[11])/594 - 
       (269377*s[12])/1188 - (74485*s[13])/297 + (1770629*s[14])/2376 + 
       (183241*s[15])/432 + (2615663*s[16])/4752 + (795379*s[17])/792 - 
       (77791*s[18])/972 + (251839*s[19])/972 + (21868307*s[20])/21384 + 
       (3386509*s[21])/10692 - (219836*s[22])/2673 + (12390827*s[23])/4752 - 
       (34273853*s[24])/42768 - (49210993*s[25])/192456 + 
       (1420219*s[26])/192456 + (2*s[30])/3 + (14*s[31])/3 + (33*s[33])/4 - 
       17*s[34] - (26*s[35])/3 - (115*s[36])/9 + (79*s[37])/4 + 143*s[38] - 
       (1887*s[39])/4 + (16783*s[40])/36 - (1012*s[41])/3 + 
       (50551*s[42])/72 + (113573*s[43])/396 - (412793*s[44])/1584 + 
       (28217*s[45])/264 - (1255387*s[46])/792 + (1456117*s[47])/4752 - 
       (1784087*s[48])/4752 - (5458429*s[49])/4752 + (409163*s[50])/396 + 
       (2077571*s[51])/4752 + (2126981*s[52])/4752 - (892285*s[53])/1188 + 
       (100585*s[54])/396 - (6284647*s[55])/1584 - (5177875*s[56])/4752 + 
       (41752985*s[57])/7128 - (156651047*s[58])/42768 + 
       (163444769*s[59])/42768 + (291479173*s[60])/28512 - 
       (165647501*s[61])/384912 - s[65]/6 - (2*s[66])/3 + 3*s[67] + 
       (4*s[68])/3 + 4*s[69] - 2*s[70] - (17*s[71])/6 + 4*s[72] - 10*s[73] - 
       (23*s[74])/6 + 4*s[75] - (28*s[76])/3 - s[77] + (34*s[78])/3 - 
       6*s[79] + (67*s[80])/2 - 594*s[82] + (5*s[83])/4 + (21*s[84])/2 - 
       74*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u]*((-75*s[2])/4 - (1499*s[3])/8 - 
       (36585*s[4])/16 - (246007*s[5])/176 - (323933*s[6])/88 - 
       (35458117*s[7])/1056 + (3468229*s[8])/1188 + (12190991*s[9])/432 + 
       (3553627*s[10])/432 + (117370261*s[11])/3168 + (65084665*s[12])/1584 + 
       (78044641*s[13])/3168 + (9520303*s[14])/3168 + (12673799*s[15])/288 + 
       (88638743*s[16])/1584 + (132335161*s[17])/3168 + 
       (8549581*s[18])/1296 + (5647841*s[19])/1296 + (937587011*s[20])/
        14256 + (679097635*s[21])/28512 - (500747477*s[22])/28512 - 
       (69482437*s[23])/1584 - (506046649*s[24])/14256 + 
       (12210893491*s[25])/256608 - (6663640387*s[26])/256608 - 14*s[30] - 
       10*s[31] - (27*s[32])/2 - (95*s[33])/8 + 12*s[34] + 32*s[35] + 
       (1061*s[36])/12 - (523*s[37])/4 - (5653*s[38])/4 + (85739*s[39])/16 - 
       (283349*s[40])/48 + (73341*s[41])/16 - (370771*s[42])/48 - 
       (2430463*s[43])/528 + (4963829*s[44])/1056 - (107793*s[45])/22 + 
       (20809057*s[46])/528 - (6239479*s[47])/3168 - (680893*s[48])/3168 + 
       (64423789*s[49])/3168 - (3949771*s[50])/132 - (17089913*s[51])/3168 - 
       (14049239*s[52])/3168 + (32911331*s[53])/1584 - (396511*s[54])/264 + 
       (46092529*s[55])/352 + (111056479*s[56])/3168 - (12269861*s[57])/297 + 
       (1798444553*s[58])/28512 - (1818651767*s[59])/28512 - 
       (6061690219*s[60])/19008 + (4320868163*s[61])/256608 - (3*s[62])/4 - 
       2*s[65] - 8*s[66] + 14*s[67] - (17*s[68])/2 + (73*s[69])/2 + s[70]/2 + 
       (29*s[71])/4 - 16*s[72] - 16*s[73] + (81*s[74])/4 - (81*s[75])/4 + 
       40*s[76] - (29*s[77])/2 - 13*s[78] - 414*s[79] + (79*s[80])/2 + 
       303*s[82] + 6*s[83] - 228*s[84] - 72*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 1 - v]*(108*s[2] - 702*s[3] - 
       2709*s[4] + (14196*s[5])/11 - (21201*s[6])/22 - (774623*s[7])/132 + 
       (88409*s[8])/33 + (8287*s[9])/3 - (13277*s[10])/6 + 
       (180441*s[11])/22 + (595055*s[12])/44 + (1159105*s[13])/132 - 
       (381621*s[14])/44 + (28121*s[15])/12 + (476963*s[16])/66 - 
       (255557*s[17])/66 + 869*s[18] - (343*s[19])/3 + (24707*s[20])/11 - 
       (1204057*s[21])/396 - (1020941*s[22])/396 - (4517405*s[23])/132 - 
       (1021529*s[24])/396 + (56621135*s[25])/3564 - (14213171*s[26])/3564 - 
       42*s[28] + 24*s[29] - 48*s[30] + 72*s[31] + 3*s[32] - 141*s[33] - 
       96*s[34] + 72*s[35] - 21*s[36] - (275*s[37])/2 - 420*s[38] + 
       (11229*s[39])/4 - (13737*s[40])/4 + (11421*s[41])/4 - 
       (19065*s[42])/4 - (83235*s[43])/44 + (214113*s[44])/88 - 
       (94405*s[45])/44 + (211174*s[46])/11 - (169065*s[47])/88 + 
       (95925*s[48])/88 + (680379*s[49])/88 - (147333*s[50])/11 - 
       (333027*s[51])/88 - (257937*s[52])/88 + (307136*s[53])/33 - 
       (46940*s[54])/11 + (5045043*s[55])/88 + (5387783*s[56])/264 - 
       (3954460*s[57])/99 + (87940783*s[58])/2376 - (81689203*s[59])/2376 - 
       (74146999*s[60])/528 + (94558301*s[61])/10692 + 48*s[63] - 12*s[65] - 
       24*s[66] + 36*s[67] - 60*s[68] - 150*s[70] + 12*s[71] - 24*s[72] + 
       36*s[73] + 24*s[74] - 21*s[75] + 24*s[76] + 126*s[77] - 72*s[78] - 
       504*s[79] + 13*s[80] + 396*s[82] + 18*s[83] - 216*s[84] - 72*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1}, 1 - v]*
      ((159*s[2])/2 - (987*s[3])/4 + (7695*s[4])/8 + (71835*s[5])/44 + 
       (147327*s[6])/88 + (13478677*s[7])/528 - (409061*s[8])/264 - 
       (66734*s[9])/3 - (49457*s[10])/6 - (4850433*s[11])/176 - 
       (1246165*s[12])/44 - (8889773*s[13])/528 - (506937*s[14])/176 - 
       (1816771*s[15])/48 - (5952173*s[16])/132 - (20256853*s[17])/528 - 
       (18671*s[18])/6 - (49965*s[19])/8 - (13605895*s[20])/264 - 
       (30868027*s[21])/1584 + (21927211*s[22])/1584 + (1479833*s[23])/66 + 
       (11965435*s[24])/396 - (245481659*s[25])/7128 + 
       (136902851*s[26])/7128 - 45*s[30] + 48*s[31] - 63*s[32] + 54*s[33] - 
       135*s[34] + 201*s[35] - 470*s[36] + 81*s[37] + 891*s[38] - 
       (13527*s[39])/4 + (13551*s[40])/4 - (10041*s[41])/4 + 
       (18483*s[42])/4 + (117969*s[43])/44 - (34014*s[44])/11 + 
       (53019*s[45])/22 - (945237*s[46])/44 + (9300*s[47])/11 - 
       (13257*s[48])/44 - (164718*s[49])/11 + (201462*s[50])/11 + 
       (106263*s[51])/44 + (78405*s[52])/44 - (283843*s[53])/22 - 
       (48138*s[54])/11 - (3415367*s[55])/44 - (144542*s[56])/11 + 
       (1922365*s[57])/132 - (6150583*s[58])/198 + (14374955*s[59])/396 + 
       (8153583*s[60])/44 - (48776611*s[61])/7128 - 6*s[64] - 24*s[65] - 
       48*s[66] + 72*s[67] - 24*s[68] + 144*s[69] - 150*s[70] + 24*s[71] + 
       54*s[72] - 90*s[73] - (81*s[74])/2 + (51*s[75])/2 + 87*s[77] + 
       150*s[78] - 120*s[79] + 120*s[80] + s[81] + 396*s[82] + 18*s[83] - 
       216*s[84] - 72*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w]*((-51*s[2])/4 - (1607*s[3])/8 - 
       (23559*s[4])/16 - (213553*s[5])/176 - (248811*s[6])/88 - 
       (26678941*s[7])/1056 + (4568681*s[8])/2376 + (9210287*s[9])/432 + 
       (3009589*s[10])/432 + (87870289*s[11])/3168 + (47498947*s[12])/1584 + 
       (56803753*s[13])/3168 + (11624983*s[14])/3168 + (9860411*s[15])/288 + 
       (68192837*s[16])/1584 + (107785153*s[17])/3168 + 
       (5899651*s[18])/1296 + (5421011*s[19])/1296 + (724387331*s[20])/
        14256 + (530943715*s[21])/28512 - (376532237*s[22])/28512 - 
       (43235569*s[23])/1584 - (401668495*s[24])/14256 + 
       (8992045141*s[25])/256608 - (5004168181*s[26])/256608 - 8*s[30] - 
       s[31] + (3*s[32])/2 + (19*s[33])/2 - (3*s[34])/2 + (79*s[35])/2 + 
       (325*s[36])/6 - 108*s[37] - (1719*s[38])/2 + (13121*s[39])/4 - 
       (43091*s[40])/12 + 2754*s[41] - (28019*s[42])/6 - (362575*s[43])/132 + 
       (772787*s[44])/264 - (134209*s[45])/44 + (1601693*s[46])/66 - 
       (492221*s[47])/396 - (27139*s[48])/198 + (5062949*s[49])/396 - 
       (1226735*s[50])/66 - (1311865*s[51])/396 - (2043185*s[52])/792 + 
       (2544643*s[53])/198 - (24539*s[54])/132 + (5324851*s[55])/66 + 
       (8274305*s[56])/396 - (57302137*s[57])/2376 + (136655941*s[58])/3564 - 
       (34546627*s[59])/891 - (235283005*s[60])/1188 + 
       (659203559*s[61])/64152 + s[65] + 4*s[66] - 10*s[67] - (35*s[68])/2 - 
       (5*s[69])/2 - 13*s[70] - s[71] - 16*s[72] + 20*s[73] + (33*s[74])/2 - 
       (33*s[75])/2 + 19*s[76] + 8*s[77] - 16*s[78] - 216*s[79] + 47*s[80] - 
       237*s[82] - 3*s[83] - 102*s[84] - 72*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Ot[u, v, w]*((-47*s[2])/3 - 
       (39*s[3])/2 - (16681*s[4])/24 - (72793*s[5])/132 - (177131*s[6])/132 - 
       (1070089*s[7])/88 + (1146865*s[8])/1188 + (1112393*s[9])/108 + 
       (353887*s[10])/108 + (21090857*s[11])/1584 + (22952185*s[12])/1584 + 
       (3430289*s[13])/396 + (341761*s[14])/198 + (583837*s[15])/36 + 
       (8139773*s[16])/396 + (25294499*s[17])/1584 + (1475501*s[18])/648 + 
       (569705*s[19])/324 + (173944849*s[20])/7128 + (15862201*s[21])/1782 - 
       (45637067*s[22])/7128 - (21761485*s[23])/1584 - 
       (189076879*s[24])/14256 + (540229193*s[25])/32076 - 
       (299806253*s[26])/32076 - s[30]/6 - (17*s[31])/3 + (7*s[32])/3 - 
       (25*s[33])/8 + (13*s[34])/2 + (5*s[35])/3 + (76*s[36])/3 - 
       (185*s[37])/6 - 398*s[38] + (39053*s[39])/24 - (44029*s[40])/24 + 
       (34639*s[41])/24 - (56381*s[42])/24 - (387503*s[43])/264 + 
       (814105*s[44])/528 - (463531*s[45])/264 + (1774753*s[46])/132 - 
       (799591*s[47])/1584 - (459493*s[48])/1584 + (10558111*s[49])/1584 - 
       (684203*s[50])/66 - (2539739*s[51])/1584 - (2049263*s[52])/1584 + 
       (712655*s[53])/99 - (9245*s[54])/44 + (24182083*s[55])/528 + 
       (6399707*s[56])/528 - (370109*s[57])/33 + (98647091*s[58])/4752 - 
       (99861023*s[59])/4752 - (1049311951*s[60])/9504 + 
       (127183373*s[61])/21384 + s[71] - 6*s[72] + (41*s[74])/6 - 
       (41*s[75])/6 + (26*s[76])/3 + (5*s[77])/3 - 6*s[78] - 156*s[79] + 
       (109*s[80])/3 - 252*s[82] - 72*s[84] - 72*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[w, u, v]*
      ((-34*s[2])/3 - (113*s[3])/4 - (11843*s[4])/24 - (59171*s[5])/132 - 
       (285005*s[6])/264 - (1654241*s[7])/176 + (560467*s[8])/792 + 
       (71548*s[9])/9 + (23585*s[10])/9 + (5419889*s[11])/528 + 
       (975873*s[12])/88 + (3481105*s[13])/528 + (873403*s[14])/528 + 
       (606313*s[15])/48 + (4228561*s[16])/264 + (2227997*s[17])/176 + 
       (191309*s[18])/108 + (298145*s[19])/216 + (45569573*s[20])/2376 + 
       (33579985*s[21])/4752 - (23454725*s[22])/4752 - (328271*s[23])/33 - 
       (12362897*s[24])/1188 + (274985009*s[25])/21384 - 
       (155446523*s[26])/21384 - s[30]/3 - (10*s[31])/3 + (7*s[32])/6 - 
       (5*s[33])/4 + 2*s[34] + s[35]/3 + (44*s[36])/3 - (107*s[37])/6 - 
       278*s[38] + (6859*s[39])/6 - (7841*s[40])/6 + (3100*s[41])/3 - 
       (4877*s[42])/3 - (71623*s[43])/66 + (38033*s[44])/33 - 
       (61433*s[45])/44 + (1357663*s[46])/132 - (57367*s[47])/198 - 
       (37181*s[48])/99 + (492836*s[49])/99 - (261362*s[50])/33 - 
       (218171*s[51])/198 - (174881*s[52])/198 + (2186837*s[53])/396 - 
       (11087*s[54])/66 + (1568269*s[55])/44 + (940793*s[56])/99 - 
       (2028788*s[57])/297 + (13785157*s[58])/891 - (55827121*s[59])/3564 - 
       (202961783*s[60])/2376 + (299383703*s[61])/64152 - 4*s[72] - 2*s[73] + 
       (25*s[74])/6 - (25*s[75])/6 + (16*s[76])/3 + (4*s[77])/3 - 4*s[78] - 
       112*s[79] + (103*s[80])/3 - 392*s[82] - 48*s[84] - 72*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      ((-241*s[2])/6 + (2167*s[3])/48 - (53393*s[4])/96 - (348385*s[5])/528 - 
       (502495*s[6])/352 - (25143187*s[7])/2112 + (24308843*s[8])/28512 + 
       (13243823*s[9])/1296 + (533591*s[10])/162 + (245584265*s[11])/19008 + 
       (32557721*s[12])/2376 + (156087059*s[13])/19008 + 
       (42827465*s[14])/19008 + (27942769*s[15])/1728 + 
       (96459833*s[16])/4752 + (312678551*s[17])/19008 + 
       (4495811*s[18])/1944 + (12018433*s[19])/7776 + 
       (2069327977*s[20])/85536 + (1583778959*s[21])/171072 - 
       (1078703143*s[22])/171072 - (61687339*s[23])/4752 - 
       (546013513*s[24])/42768 + (768494083*s[25])/48114 - 
       (3558418565*s[26])/384912 - 2*s[30] - (64*s[31])/3 + (245*s[32])/24 - 
       (347*s[33])/16 + (139*s[34])/4 + 10*s[35] + (562*s[36])/9 - 
       (5069*s[37])/144 - (4481*s[38])/12 + (20635*s[39])/12 - 
       (67405*s[40])/36 + (36493*s[41])/24 - (185749*s[42])/72 - 
       (297109*s[43])/198 + (5057803*s[44])/3168 - (4865137*s[45])/3168 + 
       (41813171*s[46])/3168 - (5476697*s[47])/9504 - (913325*s[48])/9504 + 
       (65366627*s[49])/9504 - (16236677*s[50])/1584 - 
       (16504105*s[51])/9504 - (12552967*s[52])/9504 + 
       (68536375*s[53])/9504 - (219463*s[54])/792 + (141323227*s[55])/3168 + 
       (37053613*s[56])/3168 - (9437599*s[57])/792 + (72590873*s[58])/3564 - 
       (596937043*s[59])/28512 - (381606527*s[60])/3564 + 
       (2909209189*s[61])/513216 + (3*s[62])/8 + s[64]/8 + (79*s[65])/24 + 
       (32*s[66])/3 - (56*s[67])/3 - (101*s[68])/12 - (335*s[69])/12 + 
       (103*s[70])/12 - (13*s[71])/4 - (35*s[72])/2 + (92*s[73])/3 + 
       (151*s[74])/12 - (145*s[75])/12 + (37*s[76])/3 - (5*s[77])/12 - 
       (110*s[78])/3 - 90*s[79] + (811*s[80])/72 - s[81]/24 - 232*s[82] - 
       (35*s[83])/4 - 86*s[84] - 71*s[85]) + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*((-79*s[2])/24 + 
       (1489*s[3])/48 - (3149*s[4])/96 - (171385*s[5])/528 - 
       (182011*s[6])/352 - (88375351*s[7])/19008 + (2553563*s[8])/9504 + 
       (437729*s[9])/108 + (762799*s[10])/432 + (3278009*s[11])/704 + 
       (7081087*s[12])/1584 + (43964333*s[13])/19008 + (4306183*s[14])/2112 + 
       (12266581*s[15])/1728 + (80467693*s[16])/9504 + 
       (152933509*s[17])/19008 + (113315*s[18])/108 + (510457*s[19])/864 + 
       (103060547*s[20])/9504 + (241733611*s[21])/57024 - 
       (139198735*s[22])/57024 - (24899669*s[23])/9504 - 
       (149396279*s[24])/28512 + (83910401*s[25])/16038 - 
       (447321997*s[26])/128304 + s[28]/4 + s[29]/2 - (7*s[30])/6 - 
       (5*s[31])/2 - s[32]/4 - (391*s[33])/48 - (25*s[34])/12 + 
       (47*s[35])/12 + (349*s[36])/36 + (661*s[37])/72 + (1667*s[38])/24 + 
       (2629*s[39])/24 - (11909*s[40])/72 + (8867*s[41])/48 - 
       (36035*s[42])/144 - (75697*s[43])/792 + (642511*s[44])/3168 - 
       (830911*s[45])/1584 + (1785079*s[46])/528 - (121013*s[47])/9504 - 
       (833153*s[48])/9504 + (6840851*s[49])/9504 - (4582481*s[50])/1584 - 
       (2154259*s[51])/9504 - (351739*s[52])/9504 + (1178281*s[53])/528 - 
       (10739*s[54])/176 + (15044155*s[55])/1056 + (36578281*s[56])/9504 + 
       (26136943*s[57])/14256 + (343298243*s[58])/85536 - 
       (349561937*s[59])/85536 - (1597341395*s[60])/57024 + 
       (199723213*s[61])/96228 - s[63] + (3*s[64])/8 + (35*s[65])/24 + 
       (13*s[66])/3 - (11*s[67])/2 - (19*s[68])/12 - (131*s[69])/12 + 
       (49*s[70])/4 - (39*s[71])/8 - (10*s[72])/3 + s[73]/6 + (16*s[74])/3 - 
       (49*s[75])/12 - 3*s[76] - (97*s[77])/6 - (41*s[78])/6 - 
       (128*s[79])/3 + (1669*s[80])/36 - 452*s[82] - (13*s[83])/4 + 
       13*s[84] - 71*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - v]*((-613*s[2])/6 + (101*s[3])/12 - 
       (84415*s[4])/24 - (172831*s[5])/66 - (1653415*s[6])/264 - 
       (270945227*s[7])/4752 + (10902247*s[8])/2376 + (2607767*s[9])/54 + 
       (1587677*s[10])/108 + (11063693*s[11])/176 + (54450709*s[12])/792 + 
       (197773303*s[13])/4752 + (3392837*s[14])/528 + (32629553*s[15])/432 + 
       (113931517*s[16])/1188 + (349029869*s[17])/4752 + 
       (1116209*s[18])/108 + (604583*s[19])/72 + (266795975*s[20])/2376 + 
       (583322105*s[21])/14256 - (429113573*s[22])/14256 - 
       (162178897*s[23])/2376 - (440020489*s[24])/7128 + 
       (5143794529*s[25])/64152 - (2813333575*s[26])/64152 + (44*s[30])/3 - 
       (152*s[31])/3 + (76*s[32])/3 - (140*s[33])/3 + (268*s[34])/3 - 
       (23*s[35])/3 + (2077*s[36])/9 - (495*s[37])/2 - (6533*s[38])/3 + 
       (26210*s[39])/3 - (86515*s[40])/9 + (15151*s[41])/2 - 
       (457157*s[42])/36 - (745079*s[43])/99 + (3175061*s[44])/396 - 
       (1013629*s[45])/132 + (25418333*s[46])/396 - (903721*s[47])/297 - 
       (173662*s[48])/297 + (40987567*s[49])/1188 - (4890335*s[50])/99 - 
       (10287599*s[51])/1188 - (8211233*s[52])/1188 + (10120093*s[53])/297 - 
       (76981*s[54])/99 + (21106975*s[55])/99 + (65649955*s[56])/1188 - 
       (231225571*s[57])/3564 + (1082991149*s[58])/10692 - 
       (1104002153*s[59])/10692 - (466357808*s[60])/891 + 
       (1287085009*s[61])/48114 + s[64] + (20*s[65])/3 + (62*s[66])/3 - 
       (112*s[67])/3 - (34*s[68])/3 - (166*s[69])/3 + (62*s[70])/3 - 
       (8*s[71])/3 - (134*s[72])/3 + (196*s[73])/3 + (151*s[74])/3 - 
       (287*s[75])/6 + 36*s[76] - (29*s[77])/3 - (196*s[78])/3 - 660*s[79] + 
       (403*s[80])/3 - s[81]/6 - 56*s[82] - (25*s[83])/2 - 285*s[84] - 
       68*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Omega2[v, w, u]*
      ((-223*s[2])/12 - (371*s[3])/8 - (12047*s[4])/16 - (88045*s[5])/132 - 
       (821783*s[6])/528 - (130357367*s[7])/9504 + (15100205*s[8])/14256 + 
       (3758719*s[9])/324 + (2418625*s[10])/648 + (142675265*s[11])/9504 + 
       (38640061*s[12])/2376 + (10256951*s[13])/1056 + 
       (20450501*s[14])/9504 + (5299483*s[15])/288 + (9223519*s[16])/396 + 
       (174023695*s[17])/9504 + (1253989*s[18])/486 + (7854865*s[19])/3888 + 
       (1184156029*s[20])/42768 + (872482547*s[21])/85536 - 
       (615554935*s[22])/85536 - (500741*s[23])/33 - (322042771*s[24])/
        21384 + (7276037875*s[25])/384912 - (4078782475*s[26])/384912 - 
       (4*s[30])/3 - (19*s[31])/3 + (5*s[32])/6 - (55*s[33])/24 + 
       (19*s[34])/3 + (47*s[35])/6 + (254*s[36])/9 - (665*s[37])/18 - 
       (2647*s[38])/6 + (43645*s[39])/24 - (147103*s[40])/72 + 
       (38255*s[41])/24 - (188723*s[42])/72 - (1304225*s[43])/792 + 
       (1378415*s[44])/792 - (771109*s[45])/396 + (11859961*s[46])/792 - 
       (1352581*s[47])/2376 - (404321*s[48])/1188 + (17874271*s[49])/2376 - 
       (1139905*s[50])/99 - (2116915*s[51])/1188 - (1676215*s[52])/1188 + 
       (2387686*s[53])/297 - (51575*s[54])/198 + (5056708*s[55])/99 + 
       (10683359*s[56])/792 - (9627053*s[57])/792 + (163970693*s[58])/7128 - 
       (83242171*s[59])/3564 - (1756321363*s[60])/14256 + 
       (850823927*s[61])/128304 + s[65]/3 + (4*s[66])/3 - (8*s[67])/3 - 
       (8*s[68])/3 - (8*s[69])/3 - (5*s[70])/3 - s[71]/3 - (23*s[72])/3 + 
       5*s[73] + (29*s[74])/4 - (29*s[75])/4 + (31*s[76])/3 + (11*s[77])/6 - 
       (35*s[78])/3 - (460*s[79])/3 + (394*s[80])/9 - 324*s[82] - s[83] - 
       66*s[84] - 68*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      Omega2[u, v, w]*((-107*s[2])/6 - (503*s[3])/12 - (9091*s[4])/12 - 
       (165413*s[5])/264 - (392093*s[6])/264 - (62603971*s[7])/4752 + 
       (2496653*s[8])/2376 + (1204037*s[9])/108 + (750911*s[10])/216 + 
       (7633607*s[11])/528 + (12488309*s[12])/792 + (44813183*s[13])/4752 + 
       (327433*s[14])/176 + (7561549*s[15])/432 + (52793929*s[16])/2376 + 
       (81742621*s[17])/4752 + (273077*s[18])/108 + (397015*s[19])/216 + 
       (62733893*s[20])/2376 + (138199513*s[21])/14256 - 
       (98668111*s[22])/14256 - (36333059*s[23])/2376 - 
       (101629919*s[24])/7128 + (146653273*s[25])/8019 - 
       (81642169*s[26])/8019 - (7*s[30])/6 - (19*s[31])/3 + s[32]/6 - 
       (83*s[33])/24 + (49*s[34])/6 + (17*s[35])/3 + (251*s[36])/9 - 
       (139*s[37])/3 - (1360*s[38])/3 + (11153*s[39])/6 - (37447*s[40])/18 + 
       1618*s[41] - (48281*s[42])/18 - (324743*s[43])/198 + 
       (1386563*s[44])/792 - (84861*s[45])/44 + (5923021*s[46])/396 - 
       (1476655*s[47])/2376 - (635419*s[48])/2376 + (17779213*s[49])/2376 - 
       (2267861*s[50])/198 - (4413227*s[51])/2376 - (3498347*s[52])/2376 + 
       (2364863*s[53])/297 - (33470*s[54])/99 + (40034101*s[55])/792 + 
       (31911787*s[56])/2376 - (11704601*s[57])/891 + 
       (497390843*s[58])/21384 - (502007933*s[59])/21384 - 
       (1743262369*s[60])/14256 + (1268603255*s[61])/192456 + s[65]/3 + 
       (4*s[66])/3 - (8*s[67])/3 - (8*s[68])/3 - (5*s[69])/3 - (2*s[70])/3 - 
       s[71]/3 - (22*s[72])/3 - (10*s[73])/3 + (49*s[74])/6 - (49*s[75])/6 + 
       8*s[76] + (2*s[77])/3 - (26*s[78])/3 - 156*s[79] + 45*s[80] - 
       324*s[82] - s[83] - 66*s[84] - 68*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((49*s[2])/3 + 10*s[3] + (13*s[4])/2 - (23713*s[5])/66 - 
       (25829*s[6])/66 - (1376555*s[7])/297 + (891205*s[8])/3564 + 
       (655951*s[9])/162 + (618931*s[10])/324 + (1376945*s[11])/297 + 
       (5235247*s[12])/1188 + (295363*s[13])/132 + (2336069*s[14])/1188 + 
       (263137*s[15])/36 + (3370847*s[16])/396 + (9844261*s[17])/1188 + 
       (215992*s[18])/243 + (924785*s[19])/972 + (115423763*s[20])/10692 + 
       (44220983*s[21])/10692 - (6421627*s[22])/2673 - (49484*s[23])/33 - 
       (30416927*s[24])/5346 + (1013624305*s[25])/192456 - 
       (661762987*s[26])/192456 + 5*s[28] + 4*s[29] + (4*s[30])/3 + 
       (34*s[31])/3 - (25*s[32])/3 + (269*s[33])/12 - (52*s[34])/3 + 
       (14*s[35])/3 + (47*s[36])/18 - (269*s[37])/9 - (173*s[38])/6 + 
       (8603*s[39])/24 - (29069*s[40])/72 + (6997*s[41])/24 - 
       (38287*s[42])/72 - (224095*s[43])/792 + (589295*s[44])/1584 - 
       (305267*s[45])/396 + (3951851*s[46])/792 - (486349*s[47])/4752 + 
       (24029*s[48])/4752 + (8034319*s[49])/4752 - (413906*s[50])/99 - 
       (1894631*s[51])/4752 - (1094465*s[52])/4752 + (3643229*s[53])/1188 + 
       (1600*s[54])/99 + (31168853*s[55])/1584 + (7545079*s[56])/1584 + 
       (218032*s[57])/297 + (30723635*s[58])/4752 - (10533595*s[59])/1584 - 
       (1210639609*s[60])/28512 + (339670637*s[61])/128304 - 4*s[63] + 
       2*s[64] + (8*s[65])/3 + (8*s[66])/3 - (10*s[67])/3 + (44*s[68])/3 + 
       (2*s[69])/3 + (110*s[70])/3 - (23*s[71])/3 - (16*s[72])/3 + s[73] + 
       (5*s[74])/2 - (22*s[76])/3 - (166*s[77])/3 - (19*s[78])/3 - 
       (218*s[79])/3 + (779*s[80])/9 - 656*s[82] + (5*s[83])/2 - 15*s[84] - 
       68*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*((-367*s[2])/12 - (1141*s[3])/72 - 
       (60865*s[4])/144 - (526357*s[5])/792 - (225253*s[6])/176 - 
       (33723269*s[7])/3168 + (941563*s[8])/1584 + (221735*s[9])/24 + 
       (73735*s[10])/24 + (36537761*s[11])/3168 + (19126543*s[12])/1584 + 
       (22950607*s[13])/3168 + (2597857*s[14])/1056 + (1408765*s[15])/96 + 
       (28893301*s[16])/1584 + (15892103*s[17])/1056 + (115985*s[18])/54 + 
       (616511*s[19])/432 + (26397647*s[20])/1188 + (82040945*s[21])/9504 - 
       (53646595*s[22])/9504 - (16474655*s[23])/1584 - (6158381*s[24])/528 + 
       (33385631*s[25])/2376 - (39683615*s[26])/4752 - 8*s[29] + 
       (13*s[30])/6 - (55*s[31])/3 + (11*s[32])/18 - (17*s[33])/6 + 
       (193*s[34])/6 - (41*s[35])/6 + (119*s[36])/4 - (97*s[37])/3 - 
       (2486*s[38])/9 + (161827*s[39])/144 - (182383*s[40])/144 + 
       (48683*s[41])/48 - (229481*s[42])/144 - (1849813*s[43])/1584 + 
       (3711431*s[44])/3168 - (1146251*s[45])/792 + (5600707*s[46])/528 - 
       (1933697*s[47])/9504 - (4931879*s[48])/9504 + (50046347*s[49])/9504 - 
       (271127*s[50])/33 - (9881119*s[51])/9504 - (7653541*s[52])/9504 + 
       (13752727*s[53])/2376 + (58583*s[54])/396 + (352556411*s[55])/9504 + 
       (30111871*s[56])/3168 - (3368681*s[57])/594 + (440756069*s[58])/
        28512 - (454140299*s[59])/28512 - (5054511185*s[60])/57024 + 
       (401819317*s[61])/85536 - (4*s[63])/3 - s[64]/3 - (5*s[65])/6 + 
       s[66]/3 + (4*s[67])/3 + (38*s[68])/9 + (34*s[69])/9 + (2*s[70])/3 + 
       s[71]/2 + s[72] - (109*s[73])/6 + (7*s[74])/4 - (7*s[75])/4 + 
       (32*s[76])/3 - (47*s[77])/18 - (19*s[78])/2 - 75*s[79] + 
       (31*s[80])/6 - (1283*s[82])/3 - s[83]/4 - (53*s[84])/2 - 
       (194*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((59*s[2])/18 - (445*s[3])/9 + (8345*s[4])/24 - 
       (42211*s[5])/198 - (28337*s[6])/396 + (2526239*s[7])/14256 - 
       (5517461*s[8])/21384 - (25475*s[9])/972 + (1133821*s[10])/1944 - 
       (8860373*s[11])/14256 - (10480607*s[12])/7128 - (5607667*s[13])/4752 + 
       (26634397*s[14])/14256 + (418099*s[15])/432 + (795455*s[16])/1584 + 
       (16604113*s[17])/7128 + (1293983*s[18])/11664 + (768013*s[19])/11664 + 
       (105360017*s[20])/64152 + (75887915*s[21])/64152 + 
       (18544051*s[22])/128304 + (20306285*s[23])/4752 - 
       (30310273*s[24])/64152 - (120157127*s[25])/72171 - 
       (508921*s[26])/1154736 - s[29] - s[30]/9 + (13*s[31])/3 + s[32] + 
       (13*s[33])/2 - (137*s[34])/9 + (10*s[35])/9 - (223*s[36])/54 + 
       (1031*s[37])/27 + (2429*s[38])/12 - (2697*s[39])/4 + 
       (74957*s[40])/108 - (3169*s[41])/6 + (107299*s[42])/108 + 
       (419011*s[43])/1188 - (1979965*s[44])/4752 - (65969*s[45])/594 - 
       (291077*s[46])/198 + (6418859*s[47])/14256 - (6075799*s[48])/14256 - 
       (11090359*s[49])/7128 + (547997*s[50])/594 + (5214245*s[51])/7128 + 
       (9023701*s[52])/14256 - (189517*s[53])/594 + (226417*s[54])/792 - 
       (4451857*s[55])/4752 - (4178237*s[56])/7128 + (104123203*s[57])/
        10692 - (278336617*s[58])/64152 + (253803265*s[59])/64152 + 
       (92371771*s[60])/10692 + (11822755*s[61])/288684 - s[64]/3 - 
       (2*s[66])/3 + 2*s[67] + (47*s[68])/9 - (2*s[69])/9 + (10*s[70])/3 - 
       (5*s[71])/6 + (10*s[72])/3 - 10*s[73] - (131*s[74])/18 + 
       (131*s[75])/18 - (124*s[76])/9 - (22*s[77])/9 + (19*s[78])/9 + 
       (1006*s[79])/9 - (811*s[80])/54 - (1598*s[82])/3 + (11*s[83])/4 + 
       (55*s[84])/2 - (194*s[85])/3) + HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*(3*s[2] - (115*s[3])/2 - (2239*s[4])/4 - 
       (795*s[5])/2 - (2827*s[6])/4 - (659089*s[7])/72 + (75289*s[8])/108 + 
       (408989*s[9])/54 + (80792*s[10])/27 + (699307*s[11])/72 + 
       (359341*s[12])/36 + (48511*s[13])/8 + (68149*s[14])/72 + 
       (329779*s[15])/24 + (191675*s[16])/12 + (989441*s[17])/72 + 
       (68873*s[18])/81 + (885253*s[19])/324 + (5857271*s[20])/324 + 
       (3866047*s[21])/648 - (3033767*s[22])/648 - 6332*s[23] - 
       (1908971*s[24])/162 + (37136675*s[25])/2916 - (18964235*s[26])/2916 + 
       8*s[30] + 8*s[31] - 2*s[32] + 10*s[33] - 22*s[34] - 12*s[35] + 
       36*s[36] - 10*s[37] - 258*s[38] + 750*s[39] - 840*s[40] + 704*s[41] - 
       (1937*s[42])/2 - (12032*s[43])/11 + (17125*s[44])/22 - 
       (19297*s[45])/11 + (112349*s[46])/11 + (805*s[47])/33 - 
       (12923*s[48])/33 + (307405*s[49])/66 - (93210*s[50])/11 - 
       (43841*s[51])/66 - (31421*s[52])/66 + (209185*s[53])/33 + 
       (7600*s[54])/11 + (1369642*s[55])/33 + (187471*s[56])/22 + 
       (220717*s[57])/33 + (2275543*s[58])/198 - (2619625*s[59])/198 - 
       (36204595*s[60])/396 + (2661899*s[61])/594 - 8*s[62] - 2*s[65] - 
       8*s[66] + 12*s[67] + 2*s[68] + 20*s[69] - 4*s[70] + 2*s[71] + 
       4*s[72] - 12*s[73] - 5*s[74] + 5*s[75] - 14*s[76] - 6*s[77] + 
       16*s[78] - 4*s[79] - 30*s[80] - 296*s[82] + 6*s[83] - 36*s[84] - 
       64*s[85]) + HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*
      (30*s[2] - (161*s[3])/2 - (1639*s[4])/4 - (2231*s[5])/11 - 
       (6863*s[6])/44 - (4703089*s[7])/792 + (203497*s[8])/396 + 
       (90217*s[9])/18 + (18322*s[10])/9 + (1614491*s[11])/264 + 
       (839035*s[12])/132 + (2686721*s[13])/792 + (114701*s[14])/264 + 
       (664723*s[15])/72 + (2055551*s[16])/198 + (7153027*s[17])/792 + 
       (18602*s[18])/27 + (192571*s[19])/108 + (14400301*s[20])/1188 + 
       (332265*s[21])/88 - (7254683*s[22])/2376 - (1819391*s[23])/396 - 
       (8736775*s[24])/1188 + (28253749*s[25])/3564 - (14215045*s[26])/3564 - 
       2*s[30] + 8*s[31] - 2*s[32] + 4*s[33] - 18*s[34] - 2*s[35] - 
       (50*s[36])/3 + (101*s[37])/3 - 178*s[38] + 500*s[39] - 
       (1696*s[40])/3 + 560*s[41] - (4063*s[42])/6 - (19472*s[43])/33 + 
       (57677*s[44])/132 - (82571*s[45])/66 + (156295*s[46])/22 - 
       (45031*s[47])/396 + (6977*s[48])/396 + (1146499*s[49])/396 - 
       (212546*s[50])/33 - (249017*s[51])/396 - (138821*s[52])/396 + 
       (149729*s[53])/33 + (5735*s[54])/11 + (1316709*s[55])/44 + 
       (2257817*s[56])/396 + (1833562*s[57])/297 + (26878651*s[58])/3564 - 
       (30869989*s[59])/3564 - (154524979*s[60])/2376 + 
       (102238975*s[61])/32076 - 2*s[65] - 8*s[66] + 12*s[67] + 2*s[68] + 
       20*s[69] + 2*s[71] + 4*s[72] - 16*s[73] - 3*s[74] + 3*s[75] + 
       2*s[76] - 8*s[77] + 20*s[78] - 72*s[79] + (58*s[80])/3 - 296*s[82] + 
       6*s[83] - 36*s[84] - 64*s[85]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]^2*((-9*s[2])/4 - (693*s[3])/8 - (3877*s[4])/16 - 
       (13159*s[5])/44 - (109567*s[6])/176 - (17103847*s[7])/3168 + 
       (1873517*s[8])/4752 + (243119*s[9])/54 + (369091*s[10])/216 + 
       (18324305*s[11])/3168 + (4782277*s[12])/792 + (10996639*s[13])/3168 + 
       (4082621*s[14])/3168 + (2226065*s[15])/288 + (1886041*s[16])/198 + 
       (8539013*s[17])/1056 + (81740*s[18])/81 + (1284733*s[19])/1296 + 
       (164166709*s[20])/14256 + (120282179*s[21])/28512 - 
       (78493543*s[22])/28512 - (923033*s[23])/198 - (45397909*s[24])/7128 + 
       (914343979*s[25])/128304 - (529881511*s[26])/128304 + 5*s[31] - 
       (7*s[32])/2 + (65*s[33])/8 - 16*s[34] + (11*s[35])/2 - (37*s[36])/6 - 
       (11*s[37])/12 - (239*s[38])/2 + (1661*s[39])/4 - (5557*s[40])/12 + 
       352*s[41] - (6587*s[42])/12 - (71069*s[43])/132 + (240005*s[44])/528 - 
       (241027*s[45])/264 + (1478687*s[46])/264 - (25303*s[47])/1584 - 
       (608875*s[48])/1584 + (3666661*s[49])/1584 - (142163*s[50])/33 - 
       (552707*s[51])/1584 - (427217*s[52])/1584 + (1270619*s[53])/396 - 
       (2173*s[54])/66 + (3699819*s[55])/176 + (962539*s[56])/176 + 
       (261529*s[57])/792 + (35347093*s[58])/4752 - (36683047*s[59])/4752 - 
       (454541677*s[60])/9504 + (13320115*s[61])/4752 - s[65] - 6*s[66] + 
       9*s[67] + 15*s[69] - 10*s[70] + s[71] + s[72] - 13*s[73] - 
       (11*s[74])/4 + (11*s[75])/4 + s[76] - s[77]/2 + 9*s[78] + 16*s[79] - 
       (23*s[80])/6 - 272*s[82] + 6*s[83] - 36*s[84] - 64*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]^2*((23*s[2])/2 - 78*s[3] - 
       (2139*s[4])/8 - (6515*s[5])/88 - (17363*s[6])/44 - 
       (2585113*s[7])/792 + (29327*s[8])/99 + (23833*s[9])/9 + 
       (67669*s[10])/72 + (38475*s[11])/11 + (988063*s[12])/264 + 
       (1758407*s[13])/792 + (9231*s[14])/22 + (334735*s[15])/72 + 
       (4486763*s[16])/792 + (1821683*s[17])/396 + (19043*s[18])/36 + 
       (1211*s[19])/2 + (645256*s[20])/99 + (5135155*s[21])/2376 - 
       (492830*s[22])/297 - (2975887*s[23])/792 - (8903755*s[24])/2376 + 
       (97380271*s[25])/21384 - (51175261*s[26])/21384 - 2*s[29] - 
       (5*s[30])/2 + 3*s[31] - (19*s[32])/2 + (29*s[33])/8 - (23*s[34])/2 - 
       2*s[35] - (38*s[36])/3 + (41*s[37])/6 - 62*s[38] + (1015*s[39])/4 - 
       (3961*s[40])/12 + (1111*s[41])/4 - (4511*s[42])/12 - 
       (47327*s[43])/132 + (83143*s[44])/264 - (74831*s[45])/132 + 
       (245969*s[46])/66 + (22639*s[47])/792 - (245783*s[48])/792 + 
       (1132535*s[49])/792 - (98249*s[50])/33 - (239323*s[51])/792 - 
       (148801*s[52])/792 + (428095*s[53])/198 - (4640*s[54])/33 + 
       (3760205*s[55])/264 + (328865*s[56])/88 + (66619*s[57])/198 + 
       (11544815*s[58])/2376 - (11918447*s[59])/2376 - 
       (152739515*s[60])/4752 + (1085815*s[61])/594 - s[64] - 2*s[65] - 
       7*s[66] + 12*s[67] + 4*s[68] + 20*s[69] - 4*s[70] + 2*s[71] + 
       4*s[72] - 16*s[73] - 3*s[74] + 3*s[75] + 3*s[76] - 8*s[77] + 
       20*s[78] - 82*s[79] + (65*s[80])/3 - 272*s[82] + 6*s[83] - 36*s[84] - 
       64*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v]*((11*s[2])/6 + (175*s[3])/4 + 
       (11215*s[4])/24 + (10421*s[5])/44 + (48797*s[6])/88 + 
       (24773951*s[7])/4752 - (3558241*s[8])/7128 - (346612*s[9])/81 - 
       (79619*s[10])/81 - (28173517*s[11])/4752 - (8124797*s[12])/1188 - 
       (19682651*s[13])/4752 + (617939*s[14])/4752 - (2830273*s[15])/432 - 
       (10145291*s[16])/1188 - (9175373*s[17])/1584 - (1046021*s[18])/972 - 
       (1157339*s[19])/1944 - (207305621*s[20])/21384 - 
       (155368027*s[21])/42768 + (115764575*s[22])/42768 + 
       (2600512*s[23])/297 + (13937504*s[24])/2673 - (1499522363*s[25])/
        192456 + (809609525*s[26])/192456 + (7*s[30])/3 + 4*s[32] - 2*s[33] - 
       (35*s[34])/3 - (56*s[35])/3 - (535*s[36])/18 + (551*s[37])/9 + 
       (605*s[38])/2 - (7953*s[39])/8 + (73861*s[40])/72 - (6235*s[41])/8 + 
       (97439*s[42])/72 + (618311*s[43])/792 - (1253605*s[44])/1584 + 
       (298553*s[45])/396 - (1647821*s[46])/264 + (1997195*s[47])/4752 - 
       (737647*s[48])/4752 - (16654853*s[49])/4752 + (439981*s[50])/99 + 
       (3970513*s[51])/4752 + (4123111*s[52])/4752 - (101257*s[53])/33 + 
       (8401*s[54])/33 - (10342073*s[55])/528 - (26677159*s[56])/4752 + 
       (33295225*s[57])/3564 - (466164305*s[58])/42768 + 
       (467068931*s[59])/42768 + (1399497947*s[60])/28512 - 
       (977128997*s[61])/384912 + (2*s[64])/3 + (2*s[65])/3 + (16*s[68])/3 - 
       4*s[69] + (14*s[70])/3 - s[71]/3 + 4*s[72] + s[73] - (11*s[74])/3 + 
       (17*s[75])/3 - 8*s[76] + (8*s[77])/3 + (37*s[78])/3 + 16*s[79] + 
       (139*s[80])/9 - 162*s[82] + 8*s[83] + 20*s[84] - 64*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((-89*s[2])/9 + (83*s[3])/12 - (2267*s[4])/9 - (108793*s[5])/396 - 
       (228227*s[6])/396 - (25523491*s[7])/4752 + (324491*s[8])/891 + 
       (2977985*s[9])/648 + (125786*s[10])/81 + (27741217*s[11])/4752 + 
       (14791951*s[12])/2376 + (11775943*s[13])/3168 + (9465131*s[14])/9504 + 
       (132287*s[15])/18 + (29080951*s[16])/3168 + (35191931*s[17])/4752 + 
       (3602027*s[18])/3888 + (1731755*s[19])/1944 + (235573091*s[20])/
        21384 + (173429719*s[21])/42768 - (121417211*s[22])/42768 - 
       (16227005*s[23])/3168 - (523302661*s[24])/85536 + 
       (5610198113*s[25])/769824 - (3168686033*s[26])/769824 + 
       (65*s[30])/18 - (35*s[31])/9 + (107*s[32])/72 - (73*s[33])/16 + 
       (61*s[34])/12 - (10*s[35])/9 + (67*s[36])/8 + (781*s[37])/72 - 
       (3853*s[38])/24 + (182429*s[39])/288 - (213449*s[40])/288 + 
       (175345*s[41])/288 - (253729*s[42])/288 - (2170387*s[43])/3168 + 
       (2239627*s[44])/3168 - (176965*s[45])/198 + (20165797*s[46])/3168 - 
       (189559*s[47])/3168 - (605603*s[48])/1584 + (2517743*s[49])/792 - 
       (4007767*s[50])/792 - (1899673*s[51])/3168 - (350497*s[52])/792 + 
       (33734843*s[53])/9504 + (238807*s[54])/1584 + (18212485*s[55])/792 + 
       (27106829*s[56])/4752 - (56640691*s[57])/28512 + 
       (761228885*s[58])/85536 - (794965925*s[59])/85536 - 
       (172811591*s[60])/3168 + (2206330853*s[61])/769824 - s[66] + s[67] + 
       (9*s[68])/2 - (7*s[69])/2 + (5*s[70])/6 + (5*s[71])/24 - (7*s[72])/3 - 
       s[73] + (35*s[74])/18 - (35*s[75])/18 - (5*s[76])/18 + (41*s[77])/9 + 
       s[78]/6 - (379*s[79])/6 + (535*s[80])/36 - (700*s[82])/3 - 28*s[84] - 
       (188*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((-233*s[2])/36 + (35*s[3])/48 - 
       (37759*s[4])/288 - (329047*s[5])/1584 - (1390951*s[6])/3168 - 
       (1500559*s[7])/396 + (3154873*s[8])/14256 + (8410477*s[9])/2592 + 
       (3124229*s[10])/2592 + (19548323*s[11])/4752 + (20571007*s[12])/4752 + 
       (24263737*s[13])/9504 + (9151657*s[14])/9504 + (1122923*s[15])/216 + 
       (31219055*s[16])/4752 + (12906871*s[17])/2376 + (5385659*s[18])/7776 + 
       (4969315*s[19])/7776 + (343388027*s[20])/42768 + 
       (257800771*s[21])/85536 - (85588867*s[22])/42768 - 
       (28298273*s[23])/9504 - (378716027*s[24])/85536 + 
       (3853379311*s[25])/769824 - (140873743*s[26])/48114 + (61*s[30])/36 - 
       (25*s[31])/18 + (61*s[32])/36 + s[33]/6 - (7*s[34])/6 - 
       (95*s[35])/18 + (587*s[37])/36 - (1295*s[38])/12 + (58165*s[39])/144 - 
       (68413*s[40])/144 + (3539*s[41])/9 - (4805*s[42])/9 - 
       (786959*s[43])/1584 + (1596889*s[44])/3168 - (1085963*s[45])/1584 + 
       (1855793*s[46])/396 + (100663*s[47])/3168 - (1431659*s[48])/3168 + 
       (1238995*s[49])/528 - (369260*s[50])/99 - (96473*s[51])/264 - 
       (262459*s[52])/1056 + (12269551*s[53])/4752 + (375577*s[54])/1584 + 
       (53508509*s[55])/3168 + (9866071*s[56])/2376 - (2947693*s[57])/7128 + 
       (133488755*s[58])/21384 - (138309389*s[59])/21384 - 
       (387977705*s[60])/9504 + (1655868077*s[61])/769824 + (9*s[68])/2 - 
       (9*s[69])/2 + s[71]/2 - (2*s[72])/3 - 4*s[73] + (19*s[74])/36 - 
       (19*s[75])/36 - (13*s[76])/9 + (41*s[77])/9 + 2*s[78] - 22*s[79] + 
       (131*s[80])/18 - (1009*s[82])/3 - 8*s[84] - (188*s[85])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Omega2[v, w, u]*
      ((-31*s[2])/3 - (69*s[3])/4 - (11447*s[4])/24 - (16673*s[5])/44 - 
       (42021*s[6])/44 - (1480903*s[7])/176 + (793021*s[8])/1188 + 
       (1535791*s[9])/216 + (61411*s[10])/27 + (3658079*s[11])/396 + 
       (15958735*s[12])/1584 + (9536981*s[13])/1584 + (1992791*s[14])/1584 + 
       (1605845*s[15])/144 + (1410743*s[16])/99 + (8744701*s[17])/792 + 
       (1028597*s[18])/648 + (390425*s[19])/324 + (120708031*s[20])/7128 + 
       (87910193*s[21])/14256 - (63154291*s[22])/14256 - 
       (14939521*s[23])/1584 - (131438953*s[24])/14256 + 
       (1497111089*s[25])/128304 - (830717465*s[26])/128304 - s[30]/3 - 
       (10*s[31])/3 + (5*s[32])/3 - (5*s[33])/4 + 2*s[34] + s[35]/3 + 
       (44*s[36])/3 - (103*s[37])/6 - 257*s[38] + (13207*s[39])/12 - 
       (5025*s[40])/4 + (1993*s[41])/2 - (19105*s[42])/12 - 
       (43817*s[43])/44 + (141785*s[44])/132 - (80291*s[45])/66 + 
       (1228477*s[46])/132 - (64961*s[47])/198 - (100585*s[48])/396 + 
       (1807237*s[49])/396 - (78806*s[50])/11 - (107482*s[51])/99 - 
       (173017*s[52])/198 + (163219*s[53])/33 - (11987*s[54])/66 + 
       (6248399*s[55])/198 + (1681777*s[56])/198 - (9319313*s[57])/1188 + 
       (12833890*s[58])/891 - (25744397*s[59])/1782 - (90815915*s[60])/1188 + 
       (134340601*s[61])/32076 - 4*s[72] + (25*s[74])/6 - (25*s[75])/6 + 
       (16*s[76])/3 + (4*s[77])/3 - 4*s[78] - 112*s[79] + (103*s[80])/3 - 
       297*s[82] - 48*s[84] - 60*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      Omega2[u, v, w]*((-31*s[2])/3 - (49*s[3])/2 - (1517*s[4])/3 - 
       (18013*s[5])/44 - (66041*s[6])/66 - (2375663*s[7])/264 + 
       (212851*s[8])/297 + (205403*s[9])/27 + (132443*s[10])/54 + 
       (7793989*s[11])/792 + (8469581*s[12])/792 + (630488*s[13])/99 + 
       (132278*s[14])/99 + (866905*s[15])/72 + (12080059*s[16])/792 + 
       (9431767*s[17])/792 + (547603*s[18])/324 + (106820*s[19])/81 + 
       (32310001*s[20])/1782 + (23543087*s[21])/3564 - (4213195*s[22])/891 - 
       (3968617*s[23])/396 - (35115307*s[24])/3564 + (398844737*s[25])/
        32076 - (221726051*s[26])/32076 - s[30]/3 - (10*s[31])/3 + 
       (7*s[32])/6 - (5*s[33])/4 + 3*s[34] + (4*s[35])/3 + (44*s[36])/3 - 
       (64*s[37])/3 - (1651*s[38])/6 + (6997*s[39])/6 - (7937*s[40])/6 + 
       1041*s[41] - (6749*s[42])/4 - (11680*s[43])/11 + (298439*s[44])/264 - 
       (28903*s[45])/22 + (328247*s[46])/33 - (276833*s[47])/792 - 
       (200537*s[48])/792 + (3849185*s[49])/792 - (253373*s[50])/33 - 
       (912731*s[51])/792 - (723211*s[52])/792 + (235247*s[53])/44 - 
       (5338*s[54])/33 + (9000071*s[55])/264 + (7138015*s[56])/792 - 
       (9166547*s[57])/1188 + (108374933*s[58])/7128 - 
       (109592705*s[59])/7128 - (388866839*s[60])/4752 + 
       (143042935*s[61])/32076 - 4*s[72] - 2*s[73] + (14*s[74])/3 - 
       (14*s[75])/3 + (16*s[76])/3 + (4*s[77])/3 - 4*s[78] - 112*s[79] + 
       (100*s[80])/3 - 285*s[82] - 48*s[84] - 60*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((-29*s[2])/2 + (213*s[3])/4 + (379*s[4])/8 - (3609*s[5])/44 - 
       (12389*s[6])/88 - (331919*s[7])/528 - (120401*s[8])/2376 + 
       (77911*s[9])/108 + (3151*s[10])/54 + (1199449*s[11])/1584 + 
       (172441*s[12])/198 + (900283*s[13])/1584 + (877621*s[14])/1584 + 
       (69767*s[15])/144 + (586733*s[16])/792 + (501715*s[17])/1584 + 
       (95681*s[18])/324 - (143587*s[19])/648 + (11829659*s[20])/7128 + 
       (13078231*s[21])/14256 - (5733203*s[22])/14256 - (259429*s[23])/792 - 
       (3569143*s[24])/7128 + (5375059*s[25])/8019 - (21923335*s[26])/32076 - 
       s[28] - 2*s[29] - 2*s[30] - 2*s[31] - 6*s[32] + s[33]/4 + 3*s[34] - 
       s[35] - 33*s[36] + (39*s[37])/2 - (63*s[38])/2 + (101*s[39])/4 - 
       (417*s[40])/4 + (193*s[41])/2 - (33*s[42])/4 - (4179*s[43])/44 + 
       (4971*s[44])/88 - (2716*s[45])/11 + (46643*s[46])/44 - 
       (3815*s[47])/264 - (54041*s[48])/264 + (39539*s[49])/264 - 
       (25925*s[50])/44 - (29989*s[51])/264 - (25297*s[52])/264 + 
       (39797*s[53])/132 - (15197*s[54])/44 + (765533*s[55])/264 + 
       (123331*s[56])/88 - (66447*s[57])/44 + (1630951*s[58])/792 - 
       (1244335*s[59])/792 - (13984937*s[60])/1584 + (4710593*s[61])/7128 + 
       12*s[63] + s[64]/2 - s[65]/2 - 6*s[66] + 8*s[67] - 5*s[68] + 7*s[69] - 
       41*s[70] + (9*s[71])/2 + 4*s[72] + 6*s[73] - 4*s[74] + 2*s[75] + 
       54*s[77] + 12*s[78] - 56*s[79] + 7*s[80] - 72*s[82] + 9*s[83] - 
       12*s[84] - 60*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u]*(-s[2]/2 + (69*s[3])/2 - (347*s[4])/2 - 
       (2132*s[5])/11 - (11159*s[6])/22 - (410947*s[7])/99 + 
       (266983*s[8])/1188 + (196285*s[9])/54 + (124633*s[10])/108 + 
       (3601507*s[11])/792 + (490525*s[12])/99 + (2326229*s[13])/792 + 
       (881233*s[14])/792 + (49277*s[15])/9 + (5573591*s[16])/792 + 
       (1461391*s[17])/264 + (244303*s[18])/324 + (179573*s[19])/324 + 
       (31690217*s[20])/3564 + (23572897*s[21])/7128 - 
       (15880985*s[22])/7128 - (2442499*s[23])/792 - (34352831*s[24])/7128 + 
       (44545811*s[25])/8019 - (26296205*s[26])/8019 + s[30] + 4*s[31] - 
       (13*s[32])/2 + (15*s[33])/4 - 4*s[34] + 13*s[35] - (74*s[36])/3 + 
       (101*s[37])/4 - 122*s[38] + (1605*s[39])/4 - (6355*s[40])/12 + 
       (1803*s[41])/4 - (1628*s[42])/3 - (62525*s[43])/132 + 
       (14483*s[44])/33 - (57573*s[45])/88 + (1136107*s[46])/264 - 
       (37357*s[47])/396 - (68261*s[48])/198 + (376493*s[49])/198 - 
       (425471*s[50])/132 - (185915*s[51])/396 - (150707*s[52])/396 + 
       (1724747*s[53])/792 - (7033*s[54])/33 + (962039*s[55])/66 + 
       (1659049*s[56])/396 - (1475525*s[57])/594 + (45722503*s[58])/7128 - 
       (11086765*s[59])/1782 - (172646717*s[60])/4752 + 
       (264886211*s[61])/128304 - (3*s[62])/2 - s[64]/2 - s[65]/2 - 2*s[66] + 
       6*s[67] - 3*s[68] - 3*s[69] - 19*s[70] + 6*s[71] + 4*s[72] - 
       10*s[73] - (5*s[74])/2 + (3*s[75])/2 + 4*s[76] + 22*s[77] + 2*s[78] - 
       100*s[79] + (17*s[80])/2 + s[81]/6 - 72*s[82] + 9*s[83] - 12*s[84] - 
       60*s[85]) + HPL[{0, 1}, 1 - w]*Ot[u, v, w]*((-47*s[2])/3 - 47*s[3] - 
       (3813*s[4])/4 - (181435*s[5])/264 - (114311*s[6])/66 - 
       (36748207*s[7])/2376 + (4519783*s[8])/3564 + (1056482*s[9])/81 + 
       (2612519*s[10])/648 + (40399969*s[11])/2376 + (88412839*s[12])/4752 + 
       (17714101*s[13])/1584 + (9083903*s[14])/4752 + (492493*s[15])/24 + 
       (13758325*s[16])/528 + (47581241*s[17])/2376 + (5595701*s[18])/1944 + 
       (544130*s[19])/243 + (328154339*s[20])/10692 + 
       (477011519*s[21])/42768 - (347166145*s[22])/42768 - 
       (1811759*s[23])/99 - (89582447*s[24])/5346 + (8337979505*s[25])/
        384912 - (4586416625*s[26])/384912 - (5*s[30])/3 - (20*s[31])/3 + 
       s[32]/6 - (16*s[33])/3 + (29*s[34])/3 + (26*s[35])/3 + 
       (665*s[36])/18 - (1871*s[37])/36 - (3281*s[38])/6 + (52763*s[39])/24 - 
       (176189*s[40])/72 + (45883*s[41])/24 - (57223*s[42])/18 - 
       (1526335*s[43])/792 + (802595*s[44])/396 - (1712743*s[45])/792 + 
       (6782731*s[46])/396 - (224896*s[47])/297 - (533387*s[48])/2376 + 
       (20711099*s[49])/2376 - (5191667*s[50])/396 - (2595587*s[51])/1188 - 
       (4180639*s[52])/2376 + (21610795*s[53])/2376 - (38648*s[54])/99 + 
       (45595027*s[55])/792 + (1345529*s[56])/88 - (38110817*s[57])/2376 + 
       (95812513*s[58])/3564 - (24237277*s[59])/891 - 
       (996184477*s[60])/7128 + (79370843*s[61])/10692 + s[65]/6 + 
       (2*s[66])/3 - (7*s[67])/3 - (13*s[68])/3 - s[69]/3 - (4*s[70])/3 + 
       (5*s[71])/6 - (28*s[72])/3 + 6*s[73] + 10*s[74] - 10*s[75] + 
       (35*s[76])/3 + (2*s[77])/3 - (40*s[78])/3 - (578*s[79])/3 + 
       (763*s[80])/18 - 176*s[82] - s[83]/2 - 87*s[84] - 56*s[85]) + 
     HPL[{0, 1}, 1 - u]*Ot[u, v, w]*((-53*s[2])/3 - (124*s[3])/3 - 
       (10745*s[4])/12 - (181987*s[5])/264 - (110041*s[6])/66 - 
       (71359679*s[7])/4752 + (2885671*s[8])/2376 + (2740979*s[9])/216 + 
       (425099*s[10])/108 + (1088279*s[11])/66 + (28557263*s[12])/1584 + 
       (51294379*s[13])/4752 + (346575*s[14])/176 + (8606303*s[15])/432 + 
       (7511194*s[16])/297 + (46279069*s[17])/2376 + (307225*s[18])/108 + 
       (114863*s[19])/54 + (71150377*s[20])/2376 + (155700419*s[21])/14256 - 
       (112463699*s[22])/14256 - (83785805*s[23])/4752 - 
       (231789047*s[24])/14256 + (335721427*s[25])/16038 - 
       (371135993*s[26])/32076 - s[30]/3 - (20*s[31])/3 + (17*s[32])/6 - 
       (8*s[33])/3 + (25*s[34])/3 + (22*s[35])/3 + (641*s[36])/18 - 
       (223*s[37])/4 - (3193*s[38])/6 + (50707*s[39])/24 - 
       (169541*s[40])/72 + (14689*s[41])/8 - (54877*s[42])/18 - 
       (132965*s[43])/72 + (280237*s[44])/144 - (50743*s[45])/24 + 
       (596101*s[46])/36 - (315263*s[47])/432 - (98801*s[48])/432 + 
       (3607415*s[49])/432 - (456205*s[50])/36 - (914431*s[51])/432 - 
       (738403*s[52])/432 + (237200*s[53])/27 - (15287*s[54])/36 + 
       (8015285*s[55])/144 + (6406349*s[56])/432 - (10011667*s[57])/648 + 
       (101114371*s[58])/3888 - (102016135*s[59])/3888 - 
       (350185727*s[60])/2592 + (31614785*s[61])/4374 + s[65]/6 + 
       (2*s[66])/3 - (7*s[67])/3 - (13*s[68])/3 - s[69]/3 - (4*s[70])/3 + 
       (5*s[71])/6 - (20*s[72])/3 + (10*s[73])/3 + (28*s[74])/3 - 
       (28*s[75])/3 + 9*s[76] - (2*s[77])/3 - (16*s[78])/3 - 182*s[79] + 
       (257*s[80])/6 - 176*s[82] - s[83]/2 - 87*s[84] - 56*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((-7*s[2])/2 - (581*s[3])/4 - (2459*s[4])/8 - (11513*s[5])/44 - 
       (51567*s[6])/88 - (7213091*s[7])/1584 + (1006469*s[8])/2376 + 
       (198667*s[9])/54 + (29128*s[10])/27 + (7915289*s[11])/1584 + 
       (543082*s[12])/99 + (1690529*s[13])/528 + (795917*s[14])/1584 + 
       (294719*s[15])/48 + (1023199*s[16])/132 + (9665911*s[17])/1584 + 
       (85651*s[18])/81 + (370669*s[19])/648 + (64104181*s[20])/7128 + 
       (47818679*s[21])/14256 - (32314567*s[22])/14256 - (828601*s[23])/132 - 
       (8317655*s[24])/1782 + (411792565*s[25])/64152 - 
       (231140353*s[26])/64152 - 5*s[30] - 4*s[31] - s[32] - (3*s[33])/2 + 
       11*s[34] + 2*s[35] + (109*s[36])/3 - (87*s[37])/2 - 329*s[38] + 
       (4893*s[39])/4 - (15907*s[40])/12 + (3945*s[41])/4 - 
       (20609*s[42])/12 - (146405*s[43])/132 + (35924*s[44])/33 - 
       (16865*s[45])/11 + (1402163*s[46])/132 - (179515*s[47])/396 - 
       (12349*s[48])/99 + (1918561*s[49])/396 - (260219*s[50])/33 - 
       (122612*s[51])/99 - (407933*s[52])/396 + (2244259*s[53])/396 - 
       (36227*s[54])/66 + (2389019*s[55])/66 + (3955609*s[56])/396 - 
       (9724777*s[57])/1188 + (58492253*s[58])/3564 - (29265625*s[59])/1782 - 
       (202981771*s[60])/2376 + (325453765*s[61])/64152 + s[65] - 10*s[68] + 
       2*s[69] - 7*s[70] - 6*s[72] + 4*s[73] + (9*s[74])/2 - (11*s[75])/2 + 
       11*s[76] + 6*s[77] - 8*s[78] + 32*s[79] - 12*s[80] - 112*s[82] - 
       9*s[83] - 18*s[84] - 56*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u]*((-35*s[2])/2 - (713*s[3])/4 - (7749*s[4])/8 - 
       636*s[5] - (14457*s[6])/8 - (2122355*s[7])/144 + (89429*s[8])/72 + 
       (439843*s[9])/36 + (138647*s[10])/36 + (776371*s[11])/48 + 
       (105971*s[12])/6 + (1528747*s[13])/144 + (93727*s[14])/48 + 
       (2828371*s[15])/144 + (898243*s[16])/36 + (2792483*s[17])/144 + 
       (305113*s[18])/108 + (462253*s[19])/216 + (6321803*s[20])/216 + 
       (1539347*s[21])/144 - (3289165*s[22])/432 - (319387*s[23])/18 - 
       (1722499*s[24])/108 + (2226341*s[25])/108 - (1232891*s[26])/108 - 
       s[30] - 4*s[31] - 16*s[32] - (7*s[33])/2 - s[34] + 3*s[35] + 
       21*s[36] - (287*s[37])/6 - 481*s[38] + 1917*s[39] - 2144*s[40] + 
       1654*s[41] - 2737*s[42] - (19733*s[43])/11 + (157395*s[44])/88 - 
       (76471*s[45])/33 + (555916*s[46])/33 - (170041*s[47])/264 - 
       (99421*s[48])/264 + (2087215*s[49])/264 - (139863*s[50])/11 - 
       (496717*s[51])/264 - (409199*s[52])/264 + (3571919*s[53])/396 - 
       (19367*s[54])/33 + (15247085*s[55])/264 + (12521759*s[56])/792 - 
       (15326605*s[57])/1188 + (184746505*s[58])/7128 - 
       (186136897*s[59])/7128 - (217632125*s[60])/1584 + 
       (125244763*s[61])/16038 - 2*s[63] + s[65] - s[67] - 12*s[68] + 
       6*s[69] - 11*s[70] - 10*s[72] + 14*s[73] + (11*s[74])/2 - 
       (11*s[75])/2 + 9*s[76] + 6*s[77] - 6*s[78] - 120*s[79] + 
       (100*s[80])/3 - 112*s[82] - 9*s[83] - 18*s[84] - 56*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*
      ((-23*s[2])/18 - (2677*s[3])/72 - (199*s[4])/6 - (18413*s[5])/198 - 
       (333145*s[6])/1584 - (10769161*s[7])/7128 + (208291*s[8])/10692 + 
       (2548417*s[9])/1944 + (2196955*s[10])/3888 + (22559585*s[11])/14256 + 
       (10908671*s[12])/7128 + (4247647*s[13])/4752 + (9027497*s[14])/14256 + 
       (979595*s[15])/432 + (8660899*s[16])/3168 + (72498923*s[17])/28512 + 
       (6405047*s[18])/23328 + (6807787*s[19])/23328 + 
       (221356321*s[20])/64152 + (330085081*s[21])/256608 - 
       (25300279*s[22])/32076 - (5560681*s[23])/9504 - 
       (120461945*s[24])/64152 + (2134398329*s[25])/1154736 - 
       (2615026147*s[26])/2309472 - 3*s[29] - (14*s[30])/9 - (5*s[31])/3 - 
       3*s[32] + (7*s[33])/4 + (62*s[34])/9 + (8*s[35])/9 + (305*s[36])/108 + 
       (3233*s[37])/216 + (185*s[38])/8 - (1085*s[39])/24 + 
       (1739*s[40])/216 + (463*s[41])/24 + (18499*s[42])/216 - 
       (204047*s[43])/2376 + (773195*s[44])/9504 - (935933*s[45])/4752 + 
       (1690937*s[46])/1584 + (4629791*s[47])/28512 - (9075043*s[48])/28512 + 
       (5694935*s[49])/14256 - (565217*s[50])/594 + (849125*s[51])/14256 + 
       (2391253*s[52])/28512 + (803995*s[53])/1188 + (178133*s[54])/1584 + 
       (44626547*s[55])/9504 + (15785695*s[56])/14256 + 
       (12835927*s[57])/5346 + (46229389*s[58])/64152 - 
       (104760131*s[59])/128304 - (914678003*s[60])/85536 + 
       (1368377869*s[61])/2309472 - s[65]/3 - 3*s[66] + 5*s[67] + 
       (16*s[68])/9 + (65*s[69])/9 + (2*s[70])/3 - s[71] + (8*s[72])/3 - 
       (23*s[73])/2 - (17*s[74])/9 + (37*s[75])/18 + (25*s[76])/9 - 
       (23*s[77])/9 + (31*s[78])/18 - (172*s[79])/9 + (200*s[80])/27 - 
       (841*s[82])/3 + s[83] - 10*s[84] - (166*s[85])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((23*s[2])/6 - (3299*s[3])/72 + (26183*s[4])/72 - (62503*s[5])/1584 + 
       (24781*s[6])/176 + (9931709*s[7])/4752 - (2449079*s[8])/7128 - 
       (1123519*s[9])/648 - (8987*s[10])/648 - (24465643*s[11])/9504 - 
       (32209955*s[12])/9504 - (2348015*s[13])/1056 + (5389711*s[14])/4752 - 
       (31379*s[15])/16 - (9138461*s[16])/3168 - (3872281*s[17])/4752 - 
       (1218883*s[18])/3888 - (561635*s[19])/3888 - (232764013*s[20])/85536 - 
       (52168213*s[21])/85536 + (49410193*s[22])/42768 + 
       (18378665*s[23])/3168 + (140818313*s[24])/85536 - 
       (188059735*s[25])/48114 + (1172960683*s[26])/769824 + (10*s[30])/3 + 
       (16*s[31])/3 - (17*s[32])/18 + (49*s[33])/4 - (50*s[34])/3 - 
       (29*s[35])/3 - (38*s[36])/3 + (368*s[37])/9 + (15769*s[38])/72 - 
       (63065*s[39])/72 + (68225*s[40])/72 - (5995*s[41])/8 + 
       (94531*s[42])/72 + (38815*s[43])/72 - (185821*s[44])/288 + 
       (1429*s[45])/8 - (254099*s[46])/72 + (431665*s[47])/864 - 
       (380561*s[48])/864 - (2103739*s[49])/864 + (62897*s[50])/24 + 
       (819113*s[51])/864 + (686165*s[52])/864 - (114211*s[53])/72 + 
       (28643*s[54])/72 - (7655413*s[55])/864 - (2165471*s[56])/864 + 
       (3437179*s[57])/324 - (56767555*s[58])/7776 + (55412569*s[59])/7776 + 
       (133622383*s[60])/5184 - (70029031*s[61])/69984 + (7*s[68])/9 - 
       (7*s[69])/9 - (4*s[70])/3 - s[71]/3 + (14*s[72])/3 - 8*s[73] - 
       (19*s[74])/3 + (13*s[75])/2 - 11*s[76] - (14*s[77])/9 + 10*s[78] + 
       (406*s[79])/3 - (206*s[80])/9 - (2879*s[82])/6 + s[83] + 38*s[84] - 
       (166*s[85])/3) + HPL[{1}, 1 - u]^2*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((-55*s[2])/4 + (417*s[3])/8 + (3445*s[4])/16 - (59353*s[5])/528 - 
       (29525*s[6])/528 - (46709*s[7])/1056 - (84223*s[8])/528 + 
       (1195*s[9])/6 + (6019*s[10])/16 - (22489*s[11])/132 - 
       (698569*s[12])/1056 - (453055*s[13])/1056 + (1107475*s[14])/1056 + 
       (173219*s[15])/288 + (221741*s[16])/528 + (15297*s[17])/11 - 
       (473*s[18])/24 + (955*s[19])/12 + (523375*s[20])/528 + 
       (732887*s[21])/1056 - (194357*s[22])/3168 + (2844499*s[23])/1056 - 
       (422797*s[24])/1056 - (643895*s[25])/891 - (223753*s[26])/3564 + 
       (7*s[30])/2 - 4*s[31] + (7*s[32])/2 - (13*s[33])/8 + (11*s[34])/2 - 
       (55*s[35])/2 + (41*s[36])/6 + (449*s[37])/12 + 47*s[38] - 
       (1505*s[39])/6 + 253*s[40] - (1157*s[41])/6 + (9247*s[42])/24 + 
       (1079*s[43])/22 - (30839*s[44])/264 - (10577*s[45])/88 - 
       (20215*s[46])/264 + (67753*s[47])/264 - (92891*s[48])/264 - 
       (18847*s[49])/88 - (12499*s[50])/88 + (222017*s[51])/792 + 
       (23355*s[52])/88 + (59473*s[53])/264 + (51697*s[54])/132 + 
       (1604201*s[55])/792 + (4651*s[56])/88 + (474281*s[57])/88 - 
       (205633*s[58])/132 + (145547*s[59])/132 - (3535937*s[60])/1584 + 
       (193045*s[61])/1584 - s[62]/2 + s[65] + 4*s[66] - 6*s[67] + 5*s[68] - 
       17*s[69] + s[70]/2 + (3*s[71])/2 - 2*s[72] + 6*s[73] - s[74]/2 + 
       s[75]/2 - 13*s[76] + 10*s[77] - 2*s[78] + 18*s[79] - (7*s[80])/3 - 
       168*s[82] - 3*s[83] + 18*s[84] - 54*s[85]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1, 0, 1, 1}, 1 - v]*(-8*s[2] + (463*s[3])/8 + 
       (14321*s[4])/48 - (58885*s[5])/528 + (12077*s[6])/176 + 
       (1743209*s[7])/3168 - (1127227*s[8])/4752 - (13579*s[9])/54 + 
       (117749*s[10])/432 - (1294715*s[11])/1584 - (4289015*s[12])/3168 - 
       (2946959*s[13])/3168 + (3715139*s[14])/3168 - (84677*s[15])/288 - 
       (118655*s[16])/198 + (291463*s[17])/528 + (5975*s[18])/324 - 
       (37685*s[19])/324 + (2228899*s[20])/14256 + (11784227*s[21])/28512 + 
       (6792653*s[22])/28512 + (11143147*s[23])/3168 + 
       (10366583*s[24])/28512 - (54184913*s[25])/32076 + 
       (25269829*s[26])/64152 + 3*s[30] - 5*s[31] + (15*s[32])/4 - 
       (7*s[33])/2 + (17*s[34])/2 - (15*s[35])/2 + 4*s[36] + (313*s[37])/12 + 
       (461*s[38])/6 - (2681*s[39])/8 + (2721*s[40])/8 - (6629*s[41])/24 + 
       (1478*s[42])/3 + (49129*s[43])/264 - (47087*s[44])/264 + 
       (19889*s[45])/264 - (55411*s[46])/44 + (181217*s[47])/792 - 
       (104405*s[48])/396 - (612731*s[49])/792 + (65397*s[50])/88 + 
       (12669*s[51])/44 + (61927*s[52])/198 - (447989*s[53])/792 + 
       (44717*s[54])/132 - (259107*s[55])/88 - (426607*s[56])/396 + 
       (2949809*s[57])/594 - (21176521*s[58])/7128 + (2583290*s[59])/891 + 
       (37594883*s[60])/4752 - (49337645*s[61])/128304 + s[65] + 4*s[66] - 
       6*s[67] + 5*s[68] - 17*s[69] + s[70] - s[71] - 2*s[72] + 6*s[73] + 
       s[74]/2 - s[75]/2 - 5*s[76] + (19*s[77])/2 - 6*s[78] + 24*s[79] + 
       s[80]/6 - 168*s[82] - 3*s[83] + 18*s[84] - 54*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 0, 1, 1}, 1 - u]*(-10*s[2] + (55*s[3])/8 + 
       (2961*s[4])/16 + (1621*s[5])/176 - (7207*s[6])/264 + 
       (2986123*s[7])/3168 - (505477*s[8])/2376 - (323281*s[9])/432 - 
       (2465*s[10])/432 - (3601847*s[11])/3168 - (2437013*s[12])/1584 - 
       (2726359*s[13])/3168 + (2158987*s[14])/3168 - (318379*s[15])/288 - 
       (1129429*s[16])/792 - (157295*s[17])/352 - (165179*s[18])/1296 - 
       (202747*s[19])/1296 - (19130101*s[20])/14256 - (5255813*s[21])/28512 + 
       (14398291*s[22])/28512 + (2365247*s[23])/792 + (3082511*s[24])/3564 - 
       (473721449*s[25])/256608 + (161415437*s[26])/256608 + s[30] - 
       3*s[31] - (3*s[32])/4 - 2*s[33] - (3*s[34])/2 - (31*s[35])/2 - 
       (7*s[36])/2 + (557*s[37])/12 + (119*s[38])/3 - (3635*s[39])/12 + 
       (3731*s[40])/12 - (4897*s[41])/24 + (3863*s[42])/8 + (3599*s[43])/44 - 
       (29847*s[44])/176 - (16375*s[45])/264 - (151885*s[46])/264 + 
       (399577*s[47])/1584 - (620387*s[48])/1584 - (765529*s[49])/1584 + 
       (28663*s[50])/88 + (156089*s[51])/528 + (429245*s[52])/1584 - 
       (20533*s[53])/99 + (21179*s[54])/66 - (741533*s[55])/1584 - 
       (375433*s[56])/1584 + (2759513*s[57])/594 - (27204179*s[58])/14256 + 
       (25343537*s[59])/14256 + (21869365*s[60])/9504 - 
       (1479725*s[61])/32076 + s[65] + 4*s[66] - 6*s[67] + 2*s[68] - 
       14*s[69] - 3*s[70] + (9*s[71])/2 - 2*s[72] + 6*s[73] - 2*s[74] + 
       2*s[75] - 13*s[76] + (15*s[77])/2 + 4*s[78] + 28*s[79] - 
       (107*s[80])/6 - 115*s[82] - 3*s[83] + 18*s[84] - 54*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 0, 1, 1}, 1 - w]*(s[2]/4 + (53*s[3])/8 + 
       (2039*s[4])/16 - (4919*s[5])/176 + (2003*s[6])/264 + 
       (382421*s[7])/1056 - (214943*s[8])/2376 - (116645*s[9])/432 + 
       (42251*s[10])/432 - (1503493*s[11])/3168 - (1138183*s[12])/1584 - 
       (1650661*s[13])/3168 + (1624565*s[14])/3168 - (78583*s[15])/288 - 
       (637259*s[16])/1584 + (551171*s[17])/3168 + (15773*s[18])/1296 - 
       (77993*s[19])/1296 - (2491241*s[20])/14256 + (3686321*s[21])/28512 + 
       (5689373*s[22])/28512 + (2585083*s[23])/1584 + (3857485*s[24])/14256 - 
       (233820877*s[25])/256608 + (56072029*s[26])/256608 + s[30]/2 - 
       s[32]/2 + (29*s[33])/8 + s[34]/2 + 5*s[35] + (53*s[36])/12 + 
       (77*s[37])/6 + (307*s[38])/6 - (2315*s[39])/12 + (823*s[40])/4 - 
       (3319*s[41])/24 + (6451*s[42])/24 + (17315*s[43])/132 - 
       (7285*s[44])/66 + (741*s[45])/11 - (37707*s[46])/44 + 
       (54001*s[47])/792 - (93707*s[48])/792 - (448861*s[49])/792 + 
       (136393*s[50])/264 + (96115*s[51])/792 + (77623*s[52])/396 - 
       (4580*s[53])/11 + (7841*s[54])/44 - (458395*s[55])/198 - 
       (432545*s[56])/792 + (5096075*s[57])/2376 - (2954947*s[58])/1782 + 
       (3020377*s[59])/1782 + (30212755*s[60])/4752 - (5444735*s[61])/32076 + 
       s[65] + 4*s[66] - 6*s[67] + 2*s[68] - 14*s[69] - (9*s[70])/2 - s[71] - 
       2*s[72] + 6*s[73] + s[74]/2 - s[75]/2 - 5*s[76] + 9*s[77] - 6*s[78] + 
       48*s[79] - 10*s[80] - 115*s[82] - 3*s[83] + 18*s[84] - 54*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      ((-1009*s[2])/96 - (1585*s[3])/64 - (205775*s[4])/384 - 
       (871043*s[5])/2112 - (1452173*s[6])/1408 - (229965149*s[7])/25344 + 
       (9154235*s[8])/12672 + (2207263*s[9])/288 + (1388083*s[10])/576 + 
       (84064307*s[11])/8448 + (22911035*s[12])/2112 + 
       (164857903*s[13])/25344 + (10800703*s[14])/8448 + 
       (27787259*s[15])/2304 + (194332871*s[16])/12672 + 
       (301063307*s[17])/25344 + (1474723*s[18])/864 + (4475387*s[19])/3456 + 
       (690357875*s[20])/38016 + (167880631*s[21])/25344 - 
       (362500093*s[22])/76032 - (132379561*s[23])/12672 - 
       (375724787*s[24])/38016 + (1438592891*s[25])/114048 - 
       (797387189*s[26])/114048 - (19*s[30])/24 - (85*s[31])/24 + 
       (3*s[32])/4 - (467*s[33])/192 + (11*s[34])/3 + (67*s[35])/48 + 
       (170*s[36])/9 - (3307*s[37])/144 - (14167*s[38])/48 + 
       (78615*s[39])/64 - (800015*s[40])/576 + (211189*s[41])/192 - 
       (64129*s[42])/36 - (7044577*s[43])/6336 + (14890085*s[44])/12672 - 
       (693785*s[45])/528 + (64346719*s[46])/6336 - (14637823*s[47])/38016 - 
       (8613145*s[48])/38016 + (191091907*s[49])/38016 - 
       (24692207*s[50])/3168 - (46610891*s[51])/38016 - 
       (37496099*s[52])/38016 + (102979361*s[53])/19008 - 
       (790765*s[54])/3168 + (145630105*s[55])/4224 + 
       (350675317*s[56])/38016 - (122400155*s[57])/14256 + 
       (5376181043*s[58])/342144 - (5427734069*s[59])/342144 - 
       (18981330721*s[60])/228096 + (13896923951*s[61])/3079296 - s[67]/4 - 
       (9*s[68])/8 + (5*s[69])/8 + (13*s[71])/24 - (103*s[72])/24 - 
       (5*s[73])/8 + (455*s[74])/96 - (455*s[75])/96 + (131*s[76])/24 + 
       (29*s[77])/48 - (39*s[78])/8 - 118*s[79] + (749*s[80])/24 - 
       (411*s[82])/2 - (209*s[84])/4 - 52*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
      ((-493*s[2])/96 - (1979*s[3])/64 - (164645*s[4])/384 - 
       (753719*s[5])/2112 - (3748753*s[6])/4224 - (193674047*s[7])/25344 + 
       (22522007*s[8])/38016 + (2787515*s[9])/432 + (3614719*s[10])/1728 + 
       (211807505*s[11])/25344 + (57388291*s[12])/6336 + 
       (15228079*s[13])/2816 + (31229441*s[14])/25344 + (2615341*s[15])/256 + 
       (1142345*s[16])/88 + (257897191*s[17])/25344 + (3783455*s[18])/2592 + 
       (11421055*s[19])/10368 + (1763226067*s[20])/114048 + 
       (1295481887*s[21])/228096 - (913737439*s[22])/228096 - 
       (4437797*s[23])/528 - (239008115*s[24])/28512 + 
       (2702406247*s[25])/256608 - (758579993*s[26])/128304 - (7*s[30])/6 - 
       (19*s[31])/24 + (17*s[32])/48 + (95*s[33])/192 - (2*s[34])/3 + 
       (57*s[35])/16 + (281*s[36])/18 - (1333*s[37])/96 - (5579*s[38])/24 + 
       (185753*s[39])/192 - (631171*s[40])/576 + (167311*s[41])/192 - 
       (200231*s[42])/144 - (5668733*s[43])/6336 + (11906107*s[44])/12672 - 
       (2393587*s[45])/2112 + (26722921*s[46])/3168 - 
       (10688213*s[47])/38016 - (9143351*s[48])/38016 + 
       (154417661*s[49])/38016 - (20504653*s[50])/3168 - 
       (36563317*s[51])/38016 - (29607865*s[52])/38016 + 
       (85503499*s[53])/19008 - (273751*s[54])/1584 + 
       (365852371*s[55])/12672 + (293943959*s[56])/38016 - 
       (366375835*s[57])/57024 + (4419341539*s[58])/342144 - 
       (4446327409*s[59])/342144 - (15827839625*s[60])/228096 + 
       (11791960711*s[61])/3079296 - s[65]/8 - s[66]/2 + (3*s[67])/4 - 
       s[68]/8 + (15*s[69])/8 + (25*s[71])/48 - (59*s[72])/24 - 
       (21*s[73])/8 + (353*s[74])/96 - (353*s[75])/96 + (37*s[76])/8 + 
       (17*s[77])/48 - (21*s[78])/8 - (323*s[79])/4 + (281*s[80])/16 - 
       (481*s[82])/2 + (3*s[83])/8 - (83*s[84])/2 - 52*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
      ((-25*s[2])/3 - (255*s[3])/32 - (40129*s[4])/192 - (10161*s[5])/64 - 
       (13611*s[6])/32 - (4189885*s[7])/1152 + (9661*s[8])/32 + 
       (589765*s[9])/192 + (189031*s[10])/192 + (1525903*s[11])/384 + 
       (413621*s[12])/96 + (2963399*s[13])/1152 + (68561*s[14])/128 + 
       (5595319*s[15])/1152 + (3566155*s[16])/576 + (5584897*s[17])/1152 + 
       (1184117*s[18])/1728 + (866407*s[19])/1728 + (12591245*s[20])/1728 + 
       (9125171*s[21])/3456 - (2205587*s[22])/1152 - (1204861*s[23])/288 - 
       (1138751*s[24])/288 + (156645629*s[25])/31104 - 
       (86505533*s[26])/31104 - (19*s[30])/12 - (23*s[31])/6 + 
       (43*s[32])/24 - (147*s[33])/32 + (29*s[34])/8 - (7*s[35])/6 + 
       (75*s[36])/8 - (1795*s[37])/96 - (1399*s[38])/16 + (11213*s[39])/24 - 
       (12725*s[40])/24 + (13337*s[41])/32 - (22567*s[42])/32 - 
       (12941*s[43])/33 + (463103*s[44])/1056 - (1015579*s[45])/2112 + 
       (2685231*s[46])/704 - (261671*s[47])/1584 - (10283*s[48])/396 + 
       (2837063*s[49])/1584 - (96920*s[50])/33 - (484195*s[51])/1056 - 
       (1174193*s[52])/3168 + (12937123*s[53])/6336 - (180397*s[54])/1056 + 
       (40596977*s[55])/3168 + (3790559*s[56])/1056 - (1357991*s[57])/352 + 
       (115318801*s[58])/19008 - (14366063*s[59])/2376 - 
       (1167673337*s[60])/38016 + (596745691*s[61])/342144 - s[68] + s[69] + 
       3*s[70] - (25*s[71])/16 - (9*s[72])/2 - s[73]/2 + (43*s[74])/24 - 
       (23*s[75])/12 + (25*s[76])/3 - (13*s[77])/6 - 6*s[78] - 52*s[79] + 
       (847*s[80])/48 - (969*s[82])/4 + (9*s[83])/16 - (315*s[84])/8 - 
       52*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]^2*
      ((-763*s[2])/48 - (307*s[3])/8 - (2929*s[4])/6 - (283725*s[5])/704 - 
       (2143909*s[6])/2112 - (56712493*s[7])/6336 + (487939*s[8])/704 + 
       (1450061*s[9])/192 + (488063*s[10])/192 + (6848309*s[11])/704 + 
       (1842569*s[12])/176 + (39391313*s[13])/6336 + (3215327*s[14])/2112 + 
       (3490831*s[15])/288 + (48481303*s[16])/3168 + (19318609*s[17])/1584 + 
       (2891369*s[18])/1728 + (582295*s[19])/432 + (43261265*s[20])/2376 + 
       (31520693*s[21])/4752 - (29725643*s[22])/6336 - 
       (59886799*s[23])/6336 - (62778713*s[24])/6336 + 
       (4183037029*s[25])/342144 - (2340711937*s[26])/342144 + s[29]/4 + 
       (5*s[30])/12 - (13*s[31])/3 + (49*s[32])/24 - (149*s[33])/32 + 
       (7*s[34])/8 + s[35]/3 + (419*s[36])/24 - (405*s[37])/32 - 
       (5803*s[38])/24 + (101689*s[39])/96 - (38807*s[40])/32 + 
       (30903*s[41])/32 - (147953*s[42])/96 - (1040747*s[43])/1056 + 
       (2211851*s[44])/2112 - (2698541*s[45])/2112 + (20008481*s[46])/2112 - 
       (619915*s[47])/2112 - (574573*s[48])/2112 + (3181771*s[49])/704 - 
       (2594063*s[50])/352 - (6671939*s[51])/6336 - (1751831*s[52])/2112 + 
       (10900405*s[53])/2112 - (13879*s[54])/132 + (23180265*s[55])/704 + 
       (18348389*s[56])/2112 - (1720151*s[57])/264 + (15062479*s[58])/1056 - 
       (30537383*s[59])/2112 - (15496297*s[60])/198 + 
       (491282129*s[61])/114048 + s[64]/8 + s[65]/16 + s[66]/4 - s[67]/2 + 
       s[68]/2 - (3*s[69])/2 + (11*s[70])/8 - (9*s[72])/2 - s[73]/2 + 
       (121*s[74])/24 - (109*s[75])/24 + (61*s[76])/12 + (17*s[77])/24 - 
       3*s[78] - 106*s[79] + (427*s[80])/16 - (945*s[82])/4 + (9*s[83])/16 - 
       (315*s[84])/8 - 52*s[85]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((325*s[2])/48 + (2903*s[3])/32 + 
       (199745*s[4])/192 + (612001*s[5])/1056 + (3594353*s[6])/2112 + 
       (545217121*s[7])/38016 - (78273253*s[8])/57024 - 
       (15441839*s[9])/1296 - (8593499*s[10])/2592 - (604109353*s[11])/
        38016 - (168615299*s[12])/9504 - (136907333*s[13])/12672 - 
       (38799493*s[14])/38016 - (21299861*s[15])/1152 - 
       (50287909*s[16])/2112 - (667773131*s[17])/38016 - 
       (5285225*s[18])/1944 - (29038253*s[19])/15552 - 
       (4689652745*s[20])/171072 - (3348138271*s[21])/342144 + 
       (2552502407*s[22])/342144 + (124109921*s[23])/6336 + 
       (2560428571*s[24])/171072 - (31912240361*s[25])/1539648 + 
       (17067351263*s[26])/1539648 - s[29] + (37*s[30])/6 + (15*s[31])/4 - 
       s[32]/3 + (1163*s[33])/96 - (71*s[34])/12 - (67*s[35])/24 - 
       (619*s[36])/18 + (1733*s[37])/18 + (12695*s[38])/24 - 
       (218933*s[39])/96 + (718375*s[40])/288 - (183881*s[41])/96 + 
       (484357*s[42])/144 + (5757857*s[43])/3168 - (12353281*s[44])/6336 + 
       (3087019*s[45])/1584 - (51112549*s[46])/3168 + 
       (19542623*s[47])/19008 - (4807087*s[48])/19008 - 
       (154158491*s[49])/19008 + (19007731*s[50])/1584 + 
       (43807075*s[51])/19008 + (36373135*s[52])/19008 - 
       (79940537*s[53])/9504 + (1620865*s[54])/1584 - 
       (111368485*s[55])/2112 - (92909471*s[56])/6336 + 
       (23837581*s[57])/1188 - (508716983*s[58])/19008 + 
       (508361593*s[59])/19008 + (14530366901*s[60])/114048 - 
       (3588504553*s[61])/513216 + s[64]/2 + s[65]/12 - (2*s[66])/3 - 
       s[67]/2 + (43*s[68])/6 - (25*s[69])/6 - 9*s[70] + (3*s[71])/2 + 
       (199*s[72])/12 - (35*s[73])/4 - (505*s[74])/48 + (541*s[75])/48 - 
       (209*s[76])/12 + (87*s[77])/8 + (251*s[78])/12 + 158*s[79] - 
       (328*s[80])/9 - 94*s[82] + 5*s[83] + (83*s[84])/2 - 49*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((415*s[2])/48 + (569*s[3])/32 + (108163*s[4])/192 + 
       (235385*s[5])/1056 + (1497671*s[6])/2112 + (77904785*s[7])/12672 - 
       (39834775*s[8])/57024 - (6595343*s[9])/1296 - (2619947*s[10])/2592 - 
       (267843133*s[11])/38016 - (79160393*s[12])/9504 - 
       (193157419*s[13])/38016 + (11022395*s[14])/38016 - 
       (24485705*s[15])/3456 - (23108017*s[16])/2376 - 
       (229716379*s[17])/38016 - (2597477*s[18])/1944 - 
       (7067915*s[19])/15552 - (1884005627*s[20])/171072 - 
       (1280985955*s[21])/342144 + (1107980411*s[22])/342144 + 
       (26451329*s[23])/2376 + (62733499*s[24])/10692 - 
       (7314732847*s[25])/769824 + (3651517927*s[26])/769824 + 
       (17*s[30])/12 + (95*s[31])/12 - (61*s[32])/12 + (509*s[33])/96 - 
       (137*s[34])/12 - (61*s[35])/24 - (623*s[36])/36 + (16337*s[37])/144 + 
       (3703*s[38])/12 - (130489*s[39])/96 + (421819*s[40])/288 - 
       (107807*s[41])/96 + (293995*s[42])/144 + (243223*s[43])/288 - 
       (604133*s[44])/576 + (192005*s[45])/288 - (171365*s[46])/24 + 
       (1371247*s[47])/1728 - (946259*s[48])/1728 - (6556375*s[49])/1728 + 
       (727457*s[50])/144 + (2551175*s[51])/1728 + (2184239*s[52])/1728 - 
       (951379*s[53])/288 + (3659*s[54])/3 - (11333189*s[55])/576 - 
       (11110997*s[56])/1728 + (43449535*s[57])/2592 - 
       (216615709*s[58])/15552 + (203063527*s[59])/15552 + 
       (543049159*s[60])/10368 - (401797813*s[61])/139968 - s[65]/12 - 
       s[66]/3 + (11*s[67])/6 + (41*s[68])/6 - (19*s[69])/6 - (29*s[70])/3 + 
       (25*s[71])/8 + (97*s[72])/12 - (23*s[73])/12 - (113*s[74])/16 + 
       (109*s[75])/16 - (63*s[76])/4 + (355*s[77])/24 + (133*s[78])/12 + 
       (659*s[79])/6 - (2683*s[80])/72 - 106*s[82] + (25*s[83])/4 + 
       64*s[84] - 49*s[85]) + HPL[{0, 1}, 1 - v]*Ot[u, v, w]*
      ((-41*s[2])/2 - (251*s[3])/12 - (6651*s[4])/8 - (43753*s[5])/66 - 
       (418751*s[6])/264 - (3768995*s[7])/264 + (4114415*s[8])/3564 + 
       (7839803*s[9])/648 + (2423275*s[10])/648 + (74366257*s[11])/4752 + 
       (40588909*s[12])/2376 + (48570169*s[13])/4752 + (9273085*s[14])/4752 + 
       (1024111*s[15])/54 + (114194143*s[16])/4752 + (88062793*s[17])/4752 + 
       (5333065*s[18])/1944 + (3754805*s[19])/1944 + (305386579*s[20])/
        10692 + (448181911*s[21])/42768 - (321440177*s[22])/42768 - 
       (79631441*s[23])/4752 - (657115097*s[24])/42768 + 
       (7626255919*s[25])/384912 - (4244709643*s[26])/384912 - (7*s[30])/3 - 
       (26*s[31])/3 + (5*s[32])/2 - (71*s[33])/12 + 13*s[34] + (25*s[35])/3 + 
       (617*s[36])/18 - (215*s[37])/4 - (2989*s[38])/6 + (48467*s[39])/24 - 
       (161909*s[40])/72 + (14011*s[41])/8 - (210745*s[42])/72 - 
       (1390327*s[43])/792 + (1469305*s[44])/792 - (175475*s[45])/88 + 
       (6233705*s[46])/396 - (1673291*s[47])/2376 - (205141*s[48])/1188 + 
       (18815831*s[49])/2376 - (4764863*s[50])/396 - (596741*s[51])/297 - 
       (1930085*s[52])/1188 + (19891601*s[53])/2376 - (86201*s[54])/198 + 
       (13993649*s[55])/264 + (33646289*s[56])/2376 - (53090923*s[57])/3564 + 
       (529681321*s[58])/21384 - (535548385*s[59])/21384 - 
       (456404009*s[60])/3564 + (659416811*s[61])/96228 + s[65]/6 + 
       (2*s[66])/3 + s[67]/3 - (5*s[68])/3 + (7*s[69])/3 + (4*s[70])/3 + 
       (5*s[71])/6 - (26*s[72])/3 + (4*s[73])/3 + (19*s[74])/2 - 
       (19*s[75])/2 + (47*s[76])/3 - (5*s[77])/3 - (38*s[78])/3 - 182*s[79] + 
       (221*s[80])/6 - 146*s[82] - s[83]/2 - 83*s[84] - 48*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-85*s[2])/3 - (1181*s[3])/12 - (18863*s[4])/24 - (92329*s[5])/132 - 
       (384809*s[6])/264 - (67684993*s[7])/4752 + (2428381*s[8])/2376 + 
       (1301215*s[9])/108 + (447095*s[10])/108 + (24541271*s[11])/1584 + 
       (13084837*s[12])/792 + (46466777*s[13])/4752 + (3384089*s[14])/1584 + 
       (8582683*s[15])/432 + (29150705*s[16])/1188 + (94871719*s[17])/4752 + 
       (791605*s[18])/324 + (1729513*s[19])/648 + (205504531*s[20])/7128 + 
       (16583951*s[21])/1584 - (106061027*s[22])/14256 - 
       (34305851*s[23])/2376 - (115739713*s[24])/7128 + 
       (417333505*s[25])/21384 - (231173473*s[26])/21384 - (2*s[30])/3 - 
       (34*s[31])/3 + (7*s[32])/6 - (121*s[33])/12 + (62*s[34])/3 + 
       (23*s[35])/3 + (305*s[36])/9 - (113*s[37])/3 - (1429*s[38])/3 + 
       (10757*s[39])/6 - (35143*s[40])/18 + (3087*s[41])/2 - 
       (45581*s[42])/18 - (315347*s[43])/198 + (1319063*s[44])/792 - 
       (246181*s[45])/132 + (5660683*s[46])/396 - (1296907*s[47])/2376 - 
       (434287*s[48])/2376 + (17934157*s[49])/2376 - (1122703*s[50])/99 - 
       (4122311*s[51])/2376 - (3125567*s[52])/2376 + (2337032*s[53])/297 + 
       (43235*s[54])/198 + (39463405*s[55])/792 + (28443211*s[56])/2376 - 
       (32604995*s[57])/3564 + (450448907*s[58])/21384 - 
       (470180273*s[59])/21384 - (1705889293*s[60])/14256 + 
       (1159910393*s[61])/192456 + (4*s[65])/3 + (16*s[66])/3 - 
       (26*s[67])/3 - (5*s[68])/3 - (41*s[69])/3 - (2*s[70])/3 - 
       (4*s[71])/3 - (34*s[72])/3 - (16*s[73])/3 + (55*s[74])/6 - 
       (55*s[75])/6 + 8*s[76] + (20*s[77])/3 - (62*s[78])/3 - 104*s[79] + 
       (79*s[80])/3 - 272*s[82] - 4*s[83] - 36*s[84] - 48*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 1 - w]*
      (-11*s[2] + (141*s[3])/2 + (939*s[4])/4 - (4463*s[5])/22 - 
       (13653*s[6])/44 - (591557*s[7])/792 - (11977*s[8])/132 + 967*s[9] + 
       (1340*s[10])/3 + (105701*s[11])/264 - (2814*s[12])/11 - 
       (182531*s[13])/792 + (482177*s[14])/264 + (110939*s[15])/72 + 
       (276523*s[16])/198 + (1875353*s[17])/792 + (13766*s[18])/27 - 
       (56963*s[19])/108 + (3357997*s[20])/1188 + (4246219*s[21])/2376 - 
       (355849*s[22])/792 + (269227*s[23])/198 - (9898*s[24])/33 - 
       (3411373*s[25])/10692 - (7992095*s[26])/10692 - 2*s[28] - 8*s[29] + 
       2*s[30] - 24*s[31] + 4*s[32] + 7*s[33] + 36*s[34] + 2*s[35] - 
       20*s[36] + 230*s[38] - 438*s[39] + 360*s[40] - 251*s[41] + 391*s[42] + 
       (4808*s[43])/11 - (15413*s[44])/44 + (4793*s[45])/22 - 
       (46799*s[46])/22 - (875*s[47])/44 + (12413*s[48])/44 - 
       (96331*s[49])/44 + (18570*s[50])/11 + (5377*s[51])/44 + 
       (9011*s[52])/44 - (32132*s[53])/33 - (9796*s[54])/11 - 
       (850159*s[55])/132 - (97807*s[56])/132 + (240125*s[57])/198 - 
       (3430739*s[58])/1188 + (4077929*s[59])/1188 + (5436791*s[60])/264 - 
       (4791101*s[61])/10692 + 24*s[63] + 4*s[67] - 16*s[68] - 28*s[69] - 
       56*s[70] - 4*s[72] + 12*s[73] + 3*s[74] - 3*s[75] - 14*s[76] + 
       66*s[77] - 4*s[78] - 48*s[79] + 10*s[80] + 60*s[82] - 24*s[84] - 
       48*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 1}, 1 - u]*
      (-32*s[2] + 66*s[3] - 34*s[4] - 289*s[5] - 625*s[6] - (30638*s[7])/9 + 
       (617*s[8])/3 + (9148*s[9])/3 + (2398*s[10])/3 + (10667*s[11])/3 + 
       3703*s[12] + (18298*s[13])/9 + (5087*s[14])/3 + (39349*s[15])/9 + 
       (52114*s[16])/9 + (45677*s[17])/9 + (32222*s[18])/27 - 
       (10262*s[19])/27 + (206855*s[20])/27 + (90397*s[21])/27 - 
       (16091*s[22])/9 - (38477*s[23])/9 - (23644*s[24])/9 + 
       (1887293*s[25])/486 - (1387379*s[26])/486 - 16*s[31] + 4*s[32] - 
       10*s[33] + 24*s[34] + 70*s[35] - 40*s[36] - 2*s[37] + 2*s[38] + 
       (965*s[39])/2 - (1169*s[40])/2 + (899*s[41])/2 - (1785*s[42])/2 - 
       (4151*s[43])/22 + (17329*s[44])/44 - (3767*s[45])/22 + 
       (31069*s[46])/11 - (21537*s[47])/44 + (17205*s[48])/44 + 
       (36671*s[49])/44 - (19287*s[50])/11 - (82609*s[51])/132 - 
       (22653*s[52])/44 + (44585*s[53])/33 - (13749*s[54])/11 + 
       (987353*s[55])/132 + (479491*s[56])/132 - (743485*s[57])/99 + 
       (6671651*s[58])/1188 - (5830007*s[59])/1188 - (4209023*s[60])/264 + 
       (4625300*s[61])/2673 + 2*s[64] + 6*s[65] + 8*s[66] - 8*s[67] - 
       12*s[68] - 48*s[69] - 6*s[71] - 16*s[72] + 16*s[73] + 12*s[74] - 
       12*s[75] + 42*s[76] + 8*s[77] - 64*s[78] - 96*s[79] + 54*s[80] + 
       s[81]/3 + 60*s[82] - 24*s[84] - 48*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-59*s[2])/6 - (163*s[3])/4 - (391*s[4])/8 - (38989*s[5])/132 - 
       (91051*s[6])/264 - (17356909*s[7])/4752 + (1055365*s[8])/7128 + 
       (998473*s[9])/324 + (229165*s[10])/162 + (17980183*s[11])/4752 + 
       (8567263*s[12])/2376 + (1100503*s[13])/528 + (5650861*s[14])/4752 + 
       (837365*s[15])/144 + (5286185*s[16])/792 + (30591509*s[17])/4752 + 
       (228871*s[18])/486 + (2070935*s[19])/1944 + (172049567*s[20])/21384 + 
       (130682359*s[21])/42768 - (79755119*s[22])/42768 - (33314*s[23])/33 - 
       (52609253*s[24])/10692 + (869479865*s[25])/192456 - 
       (525224321*s[26])/192456 - (10*s[30])/3 - (4*s[31])/3 - (2*s[32])/3 + 
       (17*s[33])/6 - (11*s[34])/3 - (8*s[35])/3 + (367*s[36])/18 - 
       (148*s[37])/9 - (173*s[38])/3 + (2737*s[39])/24 - (6823*s[40])/72 + 
       (917*s[41])/24 - (5813*s[42])/72 - (174821*s[43])/792 + 
       (205027*s[44])/1584 - (218797*s[45])/396 + (2048041*s[46])/792 + 
       (116197*s[47])/4752 - (512981*s[48])/4752 + (5131565*s[49])/4752 - 
       (207157*s[50])/99 + (54455*s[51])/4752 - (8233*s[52])/4752 + 
       (4048757*s[53])/2376 + (35798*s[54])/99 + (17833423*s[55])/1584 + 
       (1125127*s[56])/528 + (3951751*s[57])/1188 + (35874647*s[58])/14256 - 
       (43599641*s[59])/14256 - (674749007*s[60])/28512 + 
       (18094541*s[61])/14256 - 4*s[62] + s[65]/3 + (4*s[66])/3 - 
       (2*s[67])/3 - (26*s[68])/3 + (10*s[69])/3 - (2*s[70])/3 - 
       (7*s[71])/3 - (2*s[72])/3 + 2*s[73] - (5*s[74])/2 + (5*s[75])/2 + 
       (25*s[76])/3 - (29*s[77])/3 - (23*s[78])/3 + (254*s[79])/3 - 
       (317*s[80])/9 - 392*s[82] - s[83] + 18*s[84] - 48*s[85]) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-46*s[2])/3 - (14*s[3])/3 - (2429*s[4])/4 - (493979*s[5])/1056 - 
       (443495*s[6])/396 - (97490615*s[7])/9504 + (2930545*s[8])/3564 + 
       (1408777*s[9])/162 + (7015037*s[10])/2592 + (26758003*s[11])/2376 + 
       (233489593*s[12])/19008 + (139792663*s[13])/19008 + 
       (25008959*s[14])/19008 + (3932435*s[15])/288 + 
       (328948045*s[16])/19008 + (2354553*s[17])/176 + 
       (14808923*s[18])/7776 + (1448003*s[19])/972 + (873449789*s[20])/
        42768 + (1274982083*s[21])/171072 - (925603825*s[22])/171072 - 
       (113543215*s[23])/9504 - (950312237*s[24])/85536 + 
       (21999415313*s[25])/1539648 - (12140367545*s[26])/1539648 - 
       (2*s[30])/3 - (22*s[31])/3 + (11*s[32])/3 - (161*s[33])/24 + 
       (35*s[34])/3 + (25*s[35])/6 + (517*s[36])/18 - (303*s[37])/8 - 
       (12523*s[38])/36 + (69227*s[39])/48 - (230513*s[40])/144 + 
       (45499*s[41])/36 - (604697*s[42])/288 - (1915471*s[43])/1584 + 
       (2787079*s[44])/2112 - (715645*s[45])/528 + (8693893*s[46])/792 - 
       (9994027*s[47])/19008 - (1264735*s[48])/19008 + 
       (106663939*s[49])/19008 - (3352859*s[50])/396 - (9152479*s[51])/6336 - 
       (21863945*s[52])/19008 + (18495431*s[53])/3168 - (27227*s[54])/176 + 
       (698798963*s[55])/19008 + (184632617*s[56])/19008 - 
       (314083741*s[57])/28512 + (2976504079*s[58])/171072 - 
       (3007560595*s[59])/171072 - (10184744773*s[60])/114048 + 
       (228078905*s[61])/48114 + (7*s[65])/12 + (7*s[66])/3 - (25*s[67])/6 - 
       (8*s[68])/3 - (31*s[69])/6 - s[70]/6 - s[71]/12 - (25*s[72])/3 + 
       (17*s[73])/3 + (49*s[74])/6 - (49*s[75])/6 + (15*s[76])/2 + 
       (25*s[77])/6 - (73*s[78])/6 - 130*s[79] + (379*s[80])/12 - 
       (485*s[82])/3 - (7*s[83])/4 - (111*s[84])/2 - 44*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-347*s[2])/24 - (117*s[3])/16 - (46105*s[4])/96 - 
       (452735*s[5])/1056 - (3160523*s[6])/3168 - (14237525*s[7])/1584 + 
       (9790483*s[8])/14256 + (19803973*s[9])/2592 + (3197977*s[10])/1296 + 
       (187165553*s[11])/19008 + (203067805*s[12])/19008 + 
       (60697459*s[13])/9504 + (13470847*s[14])/9504 + (10333201*s[15])/864 + 
       (144634033*s[16])/9504 + (225793049*s[17])/19008 + 
       (6649495*s[18])/3888 + (9976051*s[19])/7776 + (194350181*s[20])/
        10692 + (286460483*s[21])/42768 - (202762387*s[22])/42768 - 
       (186465187*s[23])/19008 - (1683516619*s[24])/171072 + 
       (4758982829*s[25])/384912 - (666888491*s[26])/96228 + (11*s[30])/12 - 
       (13*s[31])/3 + (13*s[32])/12 - (13*s[33])/24 + (61*s[34])/12 + 
       (37*s[35])/12 + (689*s[36])/36 - (2255*s[37])/72 - (3595*s[38])/12 + 
       (19165*s[39])/16 - (192449*s[40])/144 + (25135*s[41])/24 - 
       (165013*s[42])/96 - (1677955*s[43])/1584 + (1774357*s[44])/1584 - 
       (1962515*s[45])/1584 + (2539843*s[46])/264 - (76793*s[47])/198 - 
       (96941*s[48])/528 + (5098103*s[49])/1056 - (5849617*s[50])/792 - 
       (11180069*s[51])/9504 - (754579*s[52])/792 + (24199157*s[53])/4752 - 
       (12478*s[54])/99 + (102470065*s[55])/3168 + (81958823*s[56])/9504 - 
       (248711135*s[57])/28512 + (160872515*s[58])/10692 - 
       (647238227*s[59])/42768 - (1496840207*s[60])/19008 + 
       (202913947*s[61])/48114 + s[65]/12 + s[66]/3 - s[67]/6 - (7*s[68])/6 + 
       (5*s[69])/6 - (2*s[70])/3 + (5*s[71])/12 - (31*s[72])/6 + s[73]/2 + 
       (43*s[74])/8 - (43*s[75])/8 + (53*s[76])/6 + s[77]/12 - (37*s[78])/6 - 
       (305*s[79])/3 + (737*s[80])/36 - (440*s[82])/3 - s[83]/4 - 
       (105*s[84])/2 - 44*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^3*
      ((-433*s[2])/24 - (599*s[3])/16 - (66539*s[4])/96 - (6983*s[5])/16 - 
       (118273*s[6])/96 - (6186199*s[7])/576 + (258491*s[8])/288 + 
       (648677*s[9])/72 + (50527*s[10])/18 + (2269439*s[11])/192 + 
       (621883*s[12])/48 + (4504979*s[13])/576 + (247007*s[14])/192 + 
       (2728409*s[15])/192 + (326497*s[16])/18 + (8011195*s[17])/576 + 
       (23327*s[18])/12 + (459871*s[19])/288 + (2037667*s[20])/96 + 
       (13190653*s[21])/1728 - (9731413*s[22])/1728 - (1822579*s[23])/144 - 
       (2527541*s[24])/216 + (117552473*s[25])/7776 - (64079801*s[26])/7776 - 
       s[28]/12 + s[29]/6 - (7*s[30])/4 - (23*s[31])/6 + (13*s[32])/4 - 
       (3*s[33])/2 + (19*s[34])/4 + (53*s[35])/12 + (997*s[36])/36 - 
       (1079*s[37])/36 - (2183*s[38])/6 + (5933*s[39])/4 - (30041*s[40])/18 + 
       1323*s[41] - (38863*s[42])/18 - (520517*s[43])/396 + 
       (4419073*s[44])/3168 - (289987*s[45])/198 + (4631251*s[46])/396 - 
       (4590419*s[47])/9504 - (2039123*s[48])/9504 + (56445581*s[49])/9504 - 
       (1777531*s[50])/198 - (14062579*s[51])/9504 - (11307865*s[52])/9504 + 
       (29463059*s[53])/4752 - (201061*s[54])/792 + (41508187*s[55])/1056 + 
       (11108687*s[56])/1056 - (52123147*s[57])/4752 + 
       (523634015*s[58])/28512 - (529012367*s[59])/28512 - 
       (5447868491*s[60])/57024 + (72420599*s[61])/14256 + s[63] - s[65]/6 + 
       (5*s[66])/6 - (3*s[67])/2 - (10*s[68])/3 - (11*s[69])/6 - 
       (9*s[70])/2 + (7*s[71])/6 - (35*s[72])/6 + (9*s[73])/2 + 
       (57*s[74])/8 - (57*s[75])/8 + (15*s[76])/2 + (97*s[77])/12 - 
       (25*s[78])/3 - (448*s[79])/3 + (529*s[80])/18 - 112*s[82] + s[83]/2 - 
       70*s[84] - 42*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^3*
      ((-26*s[2])/3 - (50*s[3])/3 - (1804*s[4])/3 - (18067*s[5])/44 - 
       (141389*s[6])/132 - (45138703*s[7])/4752 + (2873045*s[8])/3564 + 
       (2595925*s[9])/324 + (779633*s[10])/324 + (49641397*s[11])/4752 + 
       (27317095*s[12])/2376 + (10913447*s[13])/1584 + (5330863*s[14])/4752 + 
       (1797541*s[15])/144 + (1050509*s[16])/66 + (57444077*s[17])/4752 + 
       (443870*s[18])/243 + (2457263*s[19])/1944 + (100530821*s[20])/5346 + 
       (291211639*s[21])/42768 - (213339611*s[22])/42768 - 
       (9223613*s[23])/792 - (54123295*s[24])/5346 + (5134424521*s[25])/
        384912 - (2817645493*s[26])/384912 - (7*s[30])/6 - 4*s[31] + 
       (13*s[32])/12 - (7*s[33])/4 + (31*s[34])/6 + (26*s[35])/3 + 
       (965*s[36])/36 - (241*s[37])/8 - (1361*s[38])/4 + (66115*s[39])/48 - 
       (221813*s[40])/144 + (19395*s[41])/16 - (288577*s[42])/144 - 
       (1856455*s[43])/1584 + (3989993*s[44])/3168 - (711163*s[45])/528 + 
       (4228381*s[46])/396 - (4726417*s[47])/9504 - (956167*s[48])/9504 + 
       (50360407*s[49])/9504 - (807361*s[50])/99 - (13371887*s[51])/9504 - 
       (10840235*s[52])/9504 + (13385095*s[53])/2376 - (287101*s[54])/792 + 
       (113029285*s[55])/3168 + (91887289*s[56])/9504 - 
       (76024261*s[57])/7128 + (1453777889*s[58])/85536 - 
       (1456832381*s[59])/85536 - (4936376551*s[60])/57024 + 
       (1804924015*s[61])/384912 + s[64]/12 - s[65]/6 + s[66]/6 - s[67] - 
       (25*s[68])/6 + (5*s[69])/6 - (13*s[70])/6 + (7*s[71])/6 - 4*s[72] + 
       (4*s[73])/3 + (89*s[74])/12 - (89*s[75])/12 + (17*s[76])/2 + 
       (7*s[77])/2 - (19*s[78])/3 - 132*s[79] + (301*s[80])/12 + s[81]/72 - 
       112*s[82] + s[83]/2 - 70*s[84] - 42*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((-70*s[2])/9 - (571*s[3])/48 - (36145*s[4])/96 - (386789*s[5])/1584 - 
       (2067911*s[6])/3168 - (56110891*s[7])/9504 + (2315329*s[8])/4752 + 
       (4303153*s[9])/864 + (1321031*s[10])/864 + (20719411*s[11])/3168 + 
       (11430395*s[12])/1584 + (41491733*s[13])/9504 + (1986641*s[14])/3168 + 
       (6661549*s[15])/864 + (94283675*s[16])/9504 + (70951357*s[17])/9504 + 
       (2823667*s[18])/2592 + (2222693*s[19])/2592 + (82889051*s[20])/7128 + 
       (9987341*s[21])/2376 - (88822583*s[22])/28512 - 
       (33587261*s[23])/4752 - (91442203*s[24])/14256 + 
       (714895891*s[25])/85536 - (194449427*s[26])/42768 - (5*s[30])/18 - 
       (25*s[31])/9 + (25*s[32])/72 - (3*s[33])/4 + (7*s[34])/3 + 
       (29*s[35])/18 + (421*s[36])/24 - (583*s[37])/72 - (5447*s[38])/24 + 
       (257389*s[39])/288 - (287545*s[40])/288 + (228383*s[41])/288 - 
       (367787*s[42])/288 - (2523947*s[43])/3168 + (665083*s[44])/792 - 
       (350629*s[45])/396 + (22206281*s[46])/3168 - (421349*s[47])/1584 - 
       (480985*s[48])/3168 + (967117*s[49])/264 - (1073447*s[50])/198 - 
       (902171*s[51])/1056 - (738721*s[52])/1056 + (35298997*s[53])/9504 + 
       (15445*s[54])/792 + (74509561*s[55])/3168 + (14584991*s[56])/2376 - 
       (185120861*s[57])/28512 + (938030959*s[58])/85536 - 
       (950771125*s[59])/85536 - (274110907*s[60])/4752 + 
       (2315567653*s[61])/769824 + (5*s[71])/8 - (10*s[72])/3 + 
       (35*s[74])/9 - (35*s[75])/9 + (40*s[76])/9 + (10*s[77])/9 - 
       (10*s[78])/3 - (143*s[79])/2 + (389*s[80])/36 - (401*s[82])/3 - 
       40*s[84] - (124*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 1}, 1 - v]*((-4*s[2])/9 - (361*s[3])/16 - (72881*s[4])/288 - 
       (323837*s[5])/1584 - (1633271*s[6])/3168 - (21862433*s[7])/4752 + 
       (94025*s[8])/264 + (1110157*s[9])/288 + (132377*s[10])/96 + 
       (1754179*s[11])/352 + (16845419*s[12])/3168 + (3693193*s[13])/1188 + 
       (333089*s[14])/396 + (172559*s[15])/27 + (76018631*s[16])/9504 + 
       (61788697*s[17])/9504 + (2153543*s[18])/2592 + (2040421*s[19])/2592 + 
       (33767357*s[20])/3564 + (98795123*s[21])/28512 - 
       (3802795*s[22])/1584 - (43197259*s[23])/9504 - (50014429*s[24])/9504 + 
       (1598580893*s[25])/256608 - (226098995*s[26])/64152 - s[27]/6 + 
       (5*s[30])/36 + (26*s[31])/9 + (19*s[32])/72 + (47*s[33])/16 - 
       (33*s[34])/4 + (29*s[35])/18 + (515*s[36])/72 + (29*s[37])/8 - 
       (2753*s[38])/24 + (146503*s[39])/288 - (18539*s[40])/32 + 
       (137561*s[41])/288 - (70451*s[42])/96 - (46297*s[43])/96 + 
       (18665*s[44])/36 - (89243*s[45])/144 + (1339027*s[46])/288 - 
       (24427*s[47])/216 - (148057*s[48])/864 + (494395*s[49])/216 - 
       (14715*s[50])/4 - (422363*s[51])/864 - (316193*s[52])/864 + 
       (2218739*s[53])/864 + (1625*s[54])/18 + (4732399*s[55])/288 + 
       (150481*s[56])/36 - (785341*s[57])/288 + (17761511*s[58])/2592 - 
       (18272291*s[59])/2592 - (100850405*s[60])/2592 + (1537856*s[61])/729 + 
       (11*s[68])/6 - (11*s[69])/6 - (5*s[70])/6 - (7*s[71])/24 - 
       (5*s[72])/3 + (65*s[74])/36 - (65*s[75])/36 - (37*s[76])/18 + 
       (53*s[77])/18 + (5*s[78])/6 - (275*s[79])/6 + (63*s[80])/4 - 
       (656*s[82])/3 - 20*s[84] - (124*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-2*s[2])/3 - (28*s[3])/3 - 54*s[4] - (11383*s[5])/132 - 
       (18621*s[6])/88 - (490195*s[7])/264 + (261683*s[8])/2376 + 
       (341923*s[9])/216 + (34073*s[10])/54 + (3169523*s[11])/1584 + 
       (3318853*s[12])/1584 + (121688*s[13])/99 + (195641*s[14])/396 + 
       (183739*s[15])/72 + (637981*s[16])/198 + (4260491*s[17])/1584 + 
       (218921*s[18])/648 + (223003*s[19])/648 + (14118905*s[20])/3564 + 
       (2598001*s[21])/1782 - (6950855*s[22])/7128 - (1787299*s[23])/1584 - 
       (31368835*s[24])/14256 + (313006847*s[25])/128304 - 
       (182520563*s[26])/128304 - s[32]/3 + 8*s[37] - 32*s[38] + 
       (1589*s[39])/12 - (1877*s[40])/12 + (787*s[41])/6 - (1015*s[42])/6 - 
       (727*s[43])/4 + (4435*s[44])/24 - (3901*s[45])/12 + (12139*s[46])/6 + 
       (2309*s[47])/72 - (14845*s[48])/72 + (63121*s[49])/72 - 1626*s[50] - 
       (8785*s[51])/72 - (6425*s[52])/72 + (19871*s[53])/18 + (308*s[54])/3 + 
       (537197*s[55])/72 + (44023*s[56])/24 + (1156*s[57])/3 + 
       (560561*s[58])/216 - (564515*s[59])/216 - (7666267*s[60])/432 + 
       (1976659*s[61])/1944 + (4*s[68])/3 - (4*s[69])/3 - 4*s[73] + 
       (4*s[77])/3 - 202*s[82] - 40*s[85]) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*((-10*s[2])/3 - (13*s[3])/3 + 
       (61*s[4])/4 - (11525*s[5])/132 - (5537*s[6])/44 - 
       (2750599*s[7])/2376 + (110845*s[8])/3564 + (163321*s[9])/162 + 
       (165577*s[10])/324 + (343958*s[11])/297 + (2494223*s[12])/2376 + 
       (459443*s[13])/792 + (1406239*s[14])/2376 + (45007*s[15])/24 + 
       (95261*s[16])/44 + (2605921*s[17])/1188 + (162583*s[18])/972 + 
       (288707*s[19])/972 + (29454581*s[20])/10692 + (23055817*s[21])/21384 - 
       (12881111*s[22])/21384 + (24161*s[23])/792 - (33466679*s[24])/21384 + 
       (61794619*s[25])/48114 - (83714495*s[26])/96228 + (4*s[30])/3 - 
       (10*s[34])/3 - (32*s[35])/3 - (19*s[36])/9 + (124*s[37])/9 + 4*s[38] - 
       (283*s[39])/12 + (25*s[40])/36 + (5*s[41])/12 + (1901*s[42])/36 - 
       (37225*s[43])/396 + (50711*s[44])/792 - (97607*s[45])/396 + 
       (13056*s[46])/11 + (263987*s[47])/2376 - (551839*s[48])/2376 + 
       (1004053*s[49])/2376 - (203699*s[50])/198 + (115987*s[51])/2376 + 
       (154459*s[52])/2376 + (159293*s[53])/198 + (3161*s[54])/22 + 
       (4381645*s[55])/792 + (2874347*s[56])/2376 + (4454377*s[57])/1782 + 
       (19439059*s[58])/21384 - (25024207*s[59])/21384 - 
       (165566941*s[60])/14256 + (64333763*s[61])/96228 + (4*s[68])/3 - 
       (4*s[69])/3 - (5*s[74])/3 + (5*s[75])/3 - (8*s[76])/3 + (4*s[77])/3 + 
       (8*s[78])/3 - (16*s[79])/3 + (74*s[80])/9 - 172*s[82] - 40*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Omega2[w, u, v]*
      ((-40*s[2])/3 - (181*s[3])/6 - (6985*s[4])/12 - (31967*s[5])/66 - 
       (76457*s[6])/66 - (3023950*s[7])/297 + (107075*s[8])/132 + 
       (310151*s[9])/36 + (8066*s[10])/3 + (8840417*s[11])/792 + 
       (3210715*s[12])/264 + (8642177*s[13])/1188 + (146062*s[14])/99 + 
       (365080*s[15])/27 + (10203019*s[16])/594 + (31671293*s[17])/2376 + 
       (317617*s[18])/162 + (113797*s[19])/81 + (18192070*s[20])/891 + 
       (26739209*s[21])/3564 - (2117827*s[22])/396 - (28004261*s[23])/2376 - 
       (26117525*s[24])/2376 + (905080963*s[25])/64152 - 
       (504532273*s[26])/64152 - (2*s[30])/3 - (16*s[31])/3 + s[32]/6 - 
       (11*s[33])/6 + (20*s[34])/3 + (14*s[35])/3 + (212*s[36])/9 - 
       39*s[37] - (1012*s[38])/3 + (4234*s[39])/3 - (14234*s[40])/9 + 
       1230*s[41] - (36947*s[42])/18 - (121078*s[43])/99 + 
       (520093*s[44])/396 - (46832*s[45])/33 + (1102681*s[46])/99 - 
       (297871*s[47])/594 - (85681*s[48])/594 + (1652720*s[49])/297 - 
       (1684181*s[50])/198 - (422206*s[51])/297 - (1348573*s[52])/1188 + 
       (3510487*s[53])/594 - (31157*s[54])/99 + (7407019*s[55])/198 + 
       (2981612*s[56])/297 - (37437005*s[57])/3564 + (93662351*s[58])/5346 - 
       (94232357*s[59])/5346 - (80656843*s[60])/891 + 
       (236011697*s[61])/48114 + s[65]/3 + (4*s[66])/3 - (8*s[67])/3 - 
       (11*s[68])/3 - (8*s[69])/3 - (2*s[70])/3 - s[71]/3 - (16*s[72])/3 + 
       (8*s[73])/3 + (20*s[74])/3 - (20*s[75])/3 + 6*s[76] - s[77]/3 - 
       (20*s[78])/3 - 124*s[79] + (110*s[80])/3 - 190*s[82] - s[83] - 
       54*s[84] - 40*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      Omega2[w, u, v]*((-37*s[2])/3 - (137*s[3])/4 - (4817*s[4])/8 - 
       (2911*s[5])/6 - (27989*s[6])/24 - (4461359*s[7])/432 + 
       (536411*s[8])/648 + (1414247*s[9])/162 + (881513*s[10])/324 + 
       (4892561*s[11])/432 + (2666699*s[12])/216 + (354325*s[13])/48 + 
       (623255*s[14])/432 + (1978589*s[15])/144 + (1255657*s[16])/72 + 
       (5844307*s[17])/432 + (479231*s[18])/243 + (2816759*s[19])/1944 + 
       (40170091*s[20])/1944 + (29457629*s[21])/3888 - 
       (21083221*s[22])/3888 - (72355*s[23])/6 - (5417813*s[24])/486 + 
       (250870591*s[25])/17496 - (139483963*s[26])/17496 - (7*s[30])/3 - 
       (16*s[31])/3 + s[32]/3 - (19*s[33])/6 + (22*s[34])/3 + (16*s[35])/3 + 
       (427*s[36])/18 - (1309*s[37])/36 - (1034*s[38])/3 + (34699*s[39])/24 - 
       (116485*s[40])/72 + (30227*s[41])/24 - (151517*s[42])/72 - 
       (987191*s[43])/792 + (2124877*s[44])/1584 - (1135547*s[45])/792 + 
       (4485311*s[46])/396 - (2444819*s[47])/4752 - (626321*s[48])/4752 + 
       (27078401*s[49])/4752 - (1716185*s[50])/198 - (6877729*s[51])/4752 - 
       (5481607*s[52])/4752 + (7157665*s[53])/1188 - (29692*s[54])/99 + 
       (60320035*s[55])/1584 + (1793101*s[56])/176 - (6373861*s[57])/594 + 
       (253960961*s[58])/14256 - (256205801*s[59])/14256 - 
       (2626376177*s[60])/28512 + (53147665*s[61])/10692 + s[65]/3 + 
       (4*s[66])/3 - (8*s[67])/3 - (11*s[68])/3 - (8*s[69])/3 - (2*s[70])/3 - 
       s[71]/3 - (20*s[72])/3 + 4*s[73] + 7*s[74] - 7*s[75] + (22*s[76])/3 + 
       s[77]/3 - (32*s[78])/3 - (388*s[79])/3 + (683*s[80])/18 - 190*s[82] - 
       s[83] - 54*s[84] - 40*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1}, 1 - u]*((-41*s[2])/18 - (859*s[3])/72 + (205*s[4])/48 - 
       (124301*s[5])/1584 - (176243*s[6])/1056 - (35919281*s[7])/28512 + 
       (935867*s[8])/28512 + (2827237*s[9])/2592 + (651235*s[10])/1296 + 
       (8513407*s[11])/6336 + (25443853*s[12])/19008 + 
       (22933795*s[13])/28512 + (1866775*s[14])/3168 + (4597865*s[15])/2592 + 
       (64337101*s[16])/28512 + (116757415*s[17])/57024 + 
       (522721*s[18])/2592 + (715381*s[19])/2592 + (41365009*s[20])/14256 + 
       (93123329*s[21])/85536 - (7051207*s[22])/10692 - 
       (1646215*s[23])/57024 - (279458425*s[24])/171072 + 
       (2389169569*s[25])/1539648 - (1493823037*s[26])/1539648 + s[30]/18 - 
       (10*s[32])/9 + s[33]/36 - s[35]/18 - s[36] + (323*s[37])/54 - 
       (659*s[38])/36 + (361*s[39])/24 - (893*s[40])/24 + (1117*s[41])/72 + 
       (2707*s[42])/144 - (88375*s[43])/792 + (347899*s[44])/3168 - 
       (308633*s[45])/1188 + (3107491*s[46])/2376 + (931861*s[47])/9504 - 
       (2713187*s[48])/9504 + (5269397*s[49])/9504 - (141739*s[50])/132 - 
       (4357*s[51])/352 + (212789*s[52])/9504 + (10524817*s[53])/14256 + 
       (351523*s[54])/2376 + (49971869*s[55])/9504 + (35529853*s[56])/28512 + 
       (78027877*s[57])/42768 + (323766059*s[58])/256608 - 
       (338469719*s[59])/256608 - (720618043*s[60])/57024 + 
       (1585096721*s[61])/2309472 + (13*s[68])/9 - (13*s[69])/9 + s[70]/9 + 
       s[72]/9 - (37*s[73])/9 - s[74]/12 + s[75]/12 + (19*s[76])/18 + 
       (23*s[77])/18 + s[78]/9 + (16*s[79])/9 - (47*s[80])/54 - 
       (2441*s[82])/12 + (2*s[84])/3 - 40*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((-10*s[2])/3 - (3*s[3])/2 + (815*s[4])/36 - (575*s[5])/12 - 
       (23701*s[6])/288 - (1752983*s[7])/2592 + (4897*s[8])/7776 + 
       (4470103*s[9])/7776 + (1386157*s[10])/3888 + (3528337*s[11])/5184 + 
       (3045887*s[12])/5184 + (45151*s[13])/144 + (546061*s[14])/1296 + 
       (329987*s[15])/288 + (583645*s[16])/432 + (7413725*s[17])/5184 + 
       (1262111*s[18])/23328 + (5792527*s[19])/23328 + (9898475*s[20])/5832 + 
       (7337665*s[21])/11664 - (8191735*s[22])/23328 + (231127*s[23])/576 - 
       (49946345*s[24])/46656 + (308173159*s[25])/419904 - 
       (203962159*s[26])/419904 + (14*s[30])/9 - (10*s[34])/3 - 
       (41*s[35])/6 - (271*s[36])/54 + (475*s[37])/54 + (185*s[38])/9 - 
       (4213*s[39])/48 + (28781*s[40])/432 - (8149*s[41])/144 + 
       (15313*s[42])/108 - (87149*s[43])/4752 + (92077*s[44])/9504 - 
       (805591*s[45])/4752 + (13329*s[46])/22 + (3482707*s[47])/28512 - 
       (6522365*s[48])/28512 + (3652625*s[49])/28512 - (337699*s[50])/594 + 
       (2475263*s[51])/28512 + (3435917*s[52])/28512 + (1054507*s[53])/2376 + 
       (20243*s[54])/132 + (31238411*s[55])/9504 + (20417143*s[56])/28512 + 
       (107247625*s[57])/42768 + (41493323*s[58])/256608 - 
       (77572037*s[59])/256608 - (1150818731*s[60])/171072 + 
       (243820865*s[61])/577368 + (13*s[68])/9 - (13*s[69])/9 + s[70]/9 - 
       s[71]/2 - (31*s[74])/18 + (31*s[75])/18 - 2*s[76] + (4*s[77])/3 + 
       (22*s[78])/9 - (8*s[79])/9 + (283*s[80])/27 - (2351*s[82])/12 + 
       (2*s[84])/3 - 40*s[85]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*((-565*s[2])/48 - (7069*s[3])/96 - 
       (354179*s[4])/576 - (168665*s[5])/396 - (2394265*s[6])/2112 - 
       (126491377*s[7])/12672 + (45264935*s[8])/57024 + 
       (21707933*s[9])/2592 + (6916585*s[10])/2592 + (416973605*s[11])/
        38016 + (227752661*s[12])/19008 + (273904325*s[13])/38016 + 
       (49904399*s[14])/38016 + (45981617*s[15])/3456 + 
       (320675479*s[16])/19008 + (496113443*s[17])/38016 + 
       (7218929*s[18])/3888 + (23666605*s[19])/15552 + 
       (3401868403*s[20])/171072 + (2464548953*s[21])/342144 - 
       (1782158185*s[22])/342144 - (6769201*s[23])/594 - 
       (235119295*s[24])/21384 + (21508095811*s[25])/1539648 - 
       (11848832833*s[26])/1539648 - (13*s[30])/6 - (11*s[31])/4 - 
       (25*s[32])/12 - (211*s[33])/96 + (35*s[34])/12 + (95*s[35])/24 + 
       (49*s[36])/3 - (1837*s[37])/72 - (25607*s[38])/72 + (41553*s[39])/32 - 
       (138283*s[40])/96 + (322799*s[41])/288 - (526405*s[42])/288 - 
       (3745639*s[43])/3168 + (7581427*s[44])/6336 - (1074421*s[45])/792 + 
       (32925641*s[46])/3168 - (7296193*s[47])/19008 - 
       (4892935*s[48])/19008 + (99884431*s[49])/19008 - (1394571*s[50])/176 - 
       (7910093*s[51])/6336 - (19976549*s[52])/19008 + 
       (17373571*s[53])/3168 - (411511*s[54])/1584 + (222308015*s[55])/6336 + 
       (177841685*s[56])/19008 - (259067137*s[57])/28512 + 
       (2775636229*s[58])/171072 - (2807531203*s[59])/171072 - 
       (9742032241*s[60])/114048 + (6993832975*s[61])/1539648 - s[65]/2 - 
       2*s[66] + (23*s[67])/6 + (13*s[68])/6 + 8*s[69] + (5*s[70])/6 + 
       (11*s[71])/6 - (35*s[72])/12 - (29*s[73])/4 + (185*s[74])/48 - 
       (185*s[75])/48 + (103*s[76])/12 - (7*s[77])/8 - (7*s[78])/12 - 
       (304*s[79])/3 + (461*s[80])/36 - (117*s[82])/2 + (3*s[83])/2 - 
       (105*s[84])/2 - 39*s[85]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*((-355*s[2])/48 - (1649*s[3])/32 - 
       (84827*s[4])/192 - (587303*s[5])/1584 - (5488957*s[6])/6336 - 
       (298006663*s[7])/38016 + (34123807*s[8])/57024 + (8574803*s[9])/1296 + 
       (2806201*s[10])/1296 + (326882953*s[11])/38016 + 
       (177048037*s[12])/19008 + (23576033*s[13])/4224 + 
       (43316203*s[14])/38016 + (36552877*s[15])/3456 + 
       (84494611*s[16])/6336 + (398149799*s[17])/38016 + 
       (11026457*s[18])/7776 + (19696955*s[19])/15552 + 
       (2699872139*s[20])/171072 + (1977191617*s[21])/342144 - 
       (1405918661*s[22])/342144 - (1669073*s[23])/198 - 
       (23377504*s[24])/2673 + (16734113375*s[25])/1539648 - 
       (9307937975*s[26])/1539648 - (19*s[30])/4 - (23*s[31])/12 + 
       (7*s[32])/6 - (19*s[33])/32 + (17*s[34])/12 + (161*s[35])/24 + 
       (247*s[36])/12 - (1685*s[37])/48 - (3295*s[38])/12 + 
       (290177*s[39])/288 - (317297*s[40])/288 + (239813*s[41])/288 - 
       (406391*s[42])/288 - (2855911*s[43])/3168 + (325239*s[44])/352 - 
       (1118231*s[45])/1056 + (6332321*s[46])/792 - (3162041*s[47])/9504 - 
       (346751*s[48])/2376 + (38888903*s[49])/9504 - (9628985*s[50])/1584 - 
       (502147*s[51])/528 - (1887751*s[52])/2376 + (5018947*s[53])/1188 - 
       (90587*s[54])/1584 + (255871117*s[55])/9504 + (67161533*s[56])/9504 - 
       (50100869*s[57])/7128 + (266870635*s[58])/21384 - 
       (1081268731*s[59])/85536 - (1872725809*s[60])/28512 + 
       (5319590897*s[61])/1539648 + s[62]/4 - s[65]/12 - s[66]/3 + s[67]/2 - 
       (7*s[68])/2 + (9*s[69])/2 - s[70] + s[71]/8 - (15*s[72])/4 + 
       (7*s[73])/12 + (53*s[74])/16 - (53*s[75])/16 + (45*s[76])/4 - 
       (35*s[77])/24 - (31*s[78])/4 - (317*s[79])/6 + (149*s[80])/72 - 
       (247*s[82])/2 + s[83]/4 - 35*s[84] - 39*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((-373*s[2])/72 + (273*s[3])/16 - (19325*s[4])/144 - 
       (597959*s[5])/3168 - (1205461*s[6])/3168 - (2912785*s[7])/792 + 
       (3512141*s[8])/14256 + (8216963*s[9])/2592 + (1478687*s[10])/1296 + 
       (37412795*s[11])/9504 + (19735553*s[12])/4752 + (2834707*s[13])/1188 + 
       (8443229*s[14])/9504 + (2193287*s[15])/432 + (30081223*s[16])/4752 + 
       (49426889*s[17])/9504 + (5762053*s[18])/7776 + (3932219*s[19])/7776 + 
       (167685779*s[20])/21384 + (63106403*s[21])/21384 - 
       (83534411*s[22])/42768 - (15382175*s[23])/4752 - 
       (88145989*s[24])/21384 + (1841426611*s[25])/384912 - 
       (2186024513*s[26])/769824 - (7*s[30])/72 - (53*s[31])/36 + 
       (65*s[32])/72 - (19*s[33])/32 + (25*s[34])/24 - (199*s[35])/36 + 
       (59*s[36])/9 + (53*s[37])/18 - (214*s[38])/3 + (12649*s[39])/36 - 
       (4951*s[40])/12 + (51839*s[41])/144 - (6053*s[42])/12 - 
       (15577*s[43])/44 + (137339*s[44])/352 - (280295*s[45])/528 + 
       (5998555*s[46])/1584 - (326021*s[47])/4752 - (728291*s[48])/4752 + 
       (15535681*s[49])/9504 - (528877*s[50])/176 - (3521927*s[51])/9504 - 
       (2645267*s[52])/9504 + (4982347*s[53])/2376 - (7477*s[54])/264 + 
       (5411171*s[55])/396 + (34187899*s[56])/9504 - (10177045*s[57])/7128 + 
       (463967675*s[58])/85536 - (467377919*s[59])/85536 - 
       (1807547833*s[60])/57024 + (696908605*s[61])/384912 - s[65]/12 - 
       s[66]/3 + (2*s[67])/3 + (9*s[68])/4 - (7*s[69])/6 + s[70]/6 - 
       s[71]/4 - (11*s[72])/6 - (7*s[73])/6 + (13*s[74])/9 - (13*s[75])/9 - 
       (25*s[76])/9 + (95*s[77])/36 + (5*s[78])/3 - (91*s[79])/2 + 
       (539*s[80])/36 - (1187*s[82])/6 + s[83]/4 - (37*s[84])/2 - 
       (116*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]*((-197*s[2])/144 + (2495*s[3])/96 - 
       (31163*s[4])/576 - (75451*s[5])/396 - (2197133*s[6])/6336 - 
       (36153217*s[7])/12672 + (7617809*s[8])/57024 + (3227407*s[9])/1296 + 
       (2463079*s[10])/2592 + (114224873*s[11])/38016 + 
       (28779379*s[12])/9504 + (66967595*s[13])/38016 + 
       (39291929*s[14])/38016 + (14084389*s[15])/3456 + 
       (23784385*s[16])/4752 + (167920919*s[17])/38016 + 
       (2153441*s[18])/3888 + (6356437*s[19])/15552 + 
       (1076883301*s[20])/171072 + (864338099*s[21])/342144 - 
       (519037975*s[22])/342144 - (8627501*s[23])/4752 - 
       (281905321*s[24])/85536 + (5398505347*s[25])/1539648 - 
       (3501226291*s[26])/1539648 + (31*s[30])/36 - (35*s[31])/36 + 
       (335*s[32])/72 + (337*s[33])/96 - (49*s[34])/12 - (179*s[35])/72 + 
       (383*s[36])/72 + (10*s[37])/3 - 39*s[38] + (14279*s[39])/72 - 
       (2138*s[40])/9 + (32003*s[41])/144 - (37801*s[42])/144 - 
       (207653*s[43])/792 + (809117*s[44])/3168 - (232237*s[45])/528 + 
       (4527641*s[46])/1584 + (206017*s[47])/9504 - (2066165*s[48])/9504 + 
       (1431043*s[49])/1188 - (1769945*s[50])/792 - (332521*s[51])/2376 - 
       (1329133*s[52])/9504 + (15394337*s[53])/9504 - (31487*s[54])/1584 + 
       (11507545*s[55])/1056 + (13719097*s[56])/4752 + 
       (3467549*s[57])/14256 + (323326489*s[58])/85536 - 
       (84362275*s[59])/21384 - (351471299*s[60])/14256 + 
       (2173619015*s[61])/1539648 - s[65]/12 - s[66]/3 + (2*s[67])/3 + 
       (9*s[68])/4 - (11*s[69])/12 + s[70]/4 + s[71]/8 + s[72]/12 + s[73]/4 + 
       (61*s[74])/144 - (61*s[75])/144 - (139*s[76])/36 + (115*s[77])/72 + 
       (5*s[78])/4 - (181*s[79])/6 + (425*s[80])/36 - (1289*s[82])/6 + 
       s[83]/4 - (29*s[84])/2 - (116*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - u]*
      ((-85*s[2])/12 - (613*s[3])/16 - (39637*s[4])/96 - (44371*s[5])/176 - 
       (791995*s[6])/1056 - (30750557*s[7])/4752 + (7203619*s[8])/14256 + 
       (14015971*s[9])/2592 + (4630247*s[10])/2592 + (67983331*s[11])/9504 + 
       (74083643*s[12])/9504 + (15053573*s[13])/3168 + (7142407*s[14])/9504 + 
       (207293*s[15])/24 + (5818679*s[16])/528 + (81039623*s[17])/9504 + 
       (8289347*s[18])/7776 + (9032797*s[19])/7776 + (272629261*s[20])/
        21384 + (387421717*s[21])/85536 - (72368261*s[22])/21384 - 
       (5502001*s[23])/792 - (78633991*s[24])/10692 + 
       (7067971027*s[25])/769824 - (1901725979*s[26])/384912 - (7*s[31])/3 + 
       (2*s[32])/3 - (91*s[33])/48 + (11*s[34])/4 + s[35]/3 + 12*s[36] - 
       (49*s[37])/18 - (865*s[38])/4 + 828*s[39] - (1853*s[40])/2 + 
       (11983*s[41])/16 - (55853*s[42])/48 - (8814*s[43])/11 + 
       (215911*s[44])/264 - (89219*s[45])/99 + (5507239*s[46])/792 - 
       (142181*s[47])/792 - (236099*s[48])/792 + (11627963*s[49])/3168 - 
       (354665*s[50])/66 - (806959*s[51])/1056 - (61817*s[52])/99 + 
       (17598925*s[53])/4752 + (138497*s[54])/1584 + (37326185*s[55])/1584 + 
       (57490717*s[56])/9504 - (9189199*s[57])/1782 + 
       (897195569*s[58])/85536 - (917645693*s[59])/85536 - 
       (1100073547*s[60])/19008 + (2303686709*s[61])/769824 + (11*s[68])/6 - 
       (11*s[69])/6 + (4*s[71])/3 - (7*s[72])/3 - (10*s[73])/3 + 3*s[74] - 
       3*s[75] + 4*s[76] + (13*s[77])/6 - (7*s[78])/3 - (160*s[79])/3 + 
       (32*s[80])/9 - (277*s[82])/2 - 28*s[84] - 38*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((-3*s[2])/2 - (21*s[3])/2 - (959*s[4])/16 - (36079*s[5])/264 - 
       (29009*s[6])/132 - (10462835*s[7])/4752 + (109174*s[8])/891 + 
       (613943*s[9])/324 + (244099*s[10])/324 + (22185913*s[11])/9504 + 
       (22614893*s[12])/9504 + (4290763*s[13])/3168 + (5969923*s[14])/9504 + 
       (460967*s[15])/144 + (12347633*s[16])/3168 + (32334011*s[17])/9504 + 
       (747539*s[18])/1944 + (412919*s[19])/972 + (205026167*s[20])/42768 + 
       (19287437*s[21])/10692 - (49495615*s[22])/42768 - 
       (2375551*s[23])/1584 - (113214271*s[24])/42768 + 
       (2157713947*s[25])/769824 - (1286818183*s[26])/769824 - s[30]/12 + 
       s[31]/6 + s[32]/8 - (5*s[33])/12 - (3*s[34])/2 + s[35]/3 - 
       (25*s[36])/72 + (239*s[37])/72 - (313*s[38])/8 + (4675*s[39])/32 - 
       (49223*s[40])/288 + (13177*s[41])/96 - (57091*s[42])/288 - 
       (583741*s[43])/3168 + (583783*s[44])/3168 - (474647*s[45])/1584 + 
       (6072725*s[46])/3168 + (65809*s[47])/9504 - (709513*s[48])/4752 + 
       (4141429*s[49])/4752 - (1224445*s[50])/792 - (1293583*s[51])/9504 - 
       (397301*s[52])/4752 + (10429819*s[53])/9504 + (141175*s[54])/1584 + 
       (2842291*s[55])/396 + (1405135*s[56])/792 + (160727*s[57])/3168 + 
       (72155605*s[58])/28512 - (75497491*s[59])/28512 - 
       (478705129*s[60])/28512 + (59536913*s[61])/64152 - s[66] + s[67] + 
       s[69] - (5*s[71])/24 + s[72]/3 - 2*s[73] - (5*s[74])/12 + 
       (5*s[75])/12 + (2*s[76])/3 - s[77]/6 + s[78]/3 - (53*s[79])/6 + 
       (59*s[80])/36 - (423*s[82])/2 - 8*s[84] - 38*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]^2*
      ((-1325*s[2])/144 - (3331*s[3])/144 - (129625*s[4])/288 - 
       (1156171*s[5])/3168 - (356447*s[6])/396 - (55969027*s[7])/7128 + 
       (17738551*s[8])/28512 + (17194115*s[9])/2592 + (675275*s[10])/324 + 
       (54545785*s[11])/6336 + (11134709*s[12])/1188 + 
       (319929547*s[13])/57024 + (805073*s[14])/704 + (13510127*s[15])/1296 + 
       (755615023*s[16])/57024 + (586588163*s[17])/57024 + 
       (984011*s[18])/648 + (2798993*s[19])/2592 + (448761685*s[20])/28512 + 
       (993537401*s[21])/171072 - (704756687*s[22])/171072 - 
       (518513867*s[23])/57024 - (1451979671*s[24])/171072 + 
       (2091116671*s[25])/192456 - (146401067*s[26])/24057 + (43*s[30])/72 - 
       (143*s[31])/36 - (2*s[32])/9 - (625*s[33])/288 + (193*s[34])/36 + 
       (59*s[35])/72 + (9187*s[36])/432 - (261*s[37])/16 - 
       (39491*s[38])/144 + (627779*s[39])/576 - (2109493*s[40])/1728 + 
       (62005*s[41])/64 - (2717723*s[42])/1728 - (18818039*s[43])/19008 + 
       (39547495*s[44])/38016 - (1824529*s[45])/1584 + 
       (169316021*s[46])/19008 - (38249141*s[47])/114048 - 
       (24709835*s[48])/114048 + (510728591*s[49])/114048 - 
       (32504207*s[50])/4752 - (125598655*s[51])/114048 - 
       (99214681*s[52])/114048 + (270783973*s[53])/57024 - 
       (1599659*s[54])/9504 + (1150238345*s[55])/38016 + 
       (916967573*s[56])/114048 - (159304103*s[57])/21384 + 
       (14136156943*s[58])/1026432 - (14314724701*s[59])/1026432 - 
       (50047314161*s[60])/684288 + (36311951383*s[61])/9237888 + 
       (11*s[65])/36 + (11*s[66])/9 - (22*s[67])/9 - (61*s[68])/36 - 
       (151*s[69])/36 - s[70]/9 + (145*s[71])/144 - (143*s[72])/36 + 
       (85*s[73])/36 + (727*s[74])/144 - (727*s[75])/144 - s[76]/6 + 
       (65*s[77])/72 - (115*s[78])/36 - 87*s[79] + (1289*s[80])/72 - 
       (695*s[82])/4 - (11*s[83])/12 - 41*s[84] - (112*s[85])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*
      ((-1211*s[2])/144 - (911*s[3])/32 - (27063*s[4])/64 - 
       (1121341*s[5])/3168 - (5467795*s[6])/6336 - (860019043*s[7])/114048 + 
       (100022719*s[8])/171072 + (49513231*s[9])/7776 + 
       (7949695*s[10])/3888 + (942652357*s[11])/114048 + 
       (127917355*s[12])/14256 + (203654117*s[13])/38016 + 
       (135371233*s[14])/114048 + (11605153*s[15])/1152 + 
       (13513529*s[16])/1056 + (1142196599*s[17])/114048 + 
       (33234611*s[18])/23328 + (51535109*s[19])/46656 + 
       (7806278717*s[20])/513216 + (5732283283*s[21])/1026432 - 
       (4056601475*s[22])/1026432 - (9944675*s[23])/1188 - 
       (2119265855*s[24])/256608 + (24061869127*s[25])/2309472 - 
       (13471148971*s[26])/2309472 - (37*s[30])/18 - (113*s[31])/36 + 
       (41*s[32])/144 - (371*s[33])/288 + (79*s[34])/18 + (289*s[35])/72 + 
       (1723*s[36])/108 - (8477*s[37])/432 - (18005*s[38])/72 + 
       (288737*s[39])/288 - (970331*s[40])/864 + (255697*s[41])/288 - 
       (1245001*s[42])/864 - (8661157*s[43])/9504 + (18435383*s[44])/19008 - 
       (9799423*s[45])/9504 + (9635053*s[46])/1188 - (17393077*s[47])/57024 - 
       (12453439*s[48])/57024 + (237638659*s[49])/57024 - 
       (14818765*s[50])/2376 - (56602703*s[51])/57024 - 
       (44343197*s[52])/57024 + (122968669*s[53])/28512 - 
       (724463*s[54])/4752 + (521747717*s[55])/19008 + (5111713*s[56])/704 - 
       (189608825*s[57])/28512 + (2129864905*s[58])/171072 - 
       (2159671243*s[59])/171072 - (22860673087*s[60])/342144 + 
       (1818260729*s[61])/513216 + (2*s[65])/9 + (8*s[66])/9 - (16*s[67])/9 - 
       (31*s[68])/36 - (133*s[69])/36 - (11*s[70])/18 - (13*s[71])/72 - 
       (145*s[72])/36 + (37*s[73])/12 + (221*s[74])/48 - (221*s[75])/48 + 
       (167*s[76])/36 + (91*s[77])/72 - (259*s[78])/36 - (1513*s[79])/18 + 
       (5425*s[80])/216 - (699*s[82])/4 - (2*s[83])/3 - (73*s[84])/2 - 
       (112*s[85])/3) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Omega2[w, u, v]*
      (-s[2] - 3*s[3] - (25*s[4])/6 - (9491*s[5])/132 - (6313*s[6])/44 - 
       (160271*s[7])/132 + (48743*s[8])/1188 + (56891*s[9])/54 + 
       (25657*s[10])/54 + (1025417*s[11])/792 + (514709*s[12])/396 + 
       (598019*s[13])/792 + (391337*s[14])/792 + (62107*s[15])/36 + 
       (1722953*s[16])/792 + (1534667*s[17])/792 + (33397*s[18])/162 + 
       (82855*s[19])/324 + (4921157*s[20])/1782 + (7424039*s[21])/7128 - 
       (4577143*s[22])/7128 - (206287*s[23])/792 - (10975807*s[24])/7128 + 
       (48348187*s[25])/32076 - (29999347*s[26])/32076 + s[32]/2 + 8*s[37] - 
       (49*s[38])/3 + 44*s[39] - 64*s[40] + (305*s[41])/6 - (395*s[42])/12 - 
       (3770*s[43])/33 + (30821*s[44])/264 - (2581*s[45])/11 + 
       (42788*s[46])/33 + (56707*s[47])/792 - (181421*s[48])/792 + 
       (455735*s[49])/792 - (11735*s[50])/11 - (8383*s[51])/264 - 
       (613*s[52])/792 + (289409*s[53])/396 + (1512*s[54])/11 + 
       (1339411*s[55])/264 + (317899*s[56])/264 + (471769*s[57])/396 + 
       (1109219*s[58])/792 - (1158415*s[59])/792 - (57587705*s[60])/4752 + 
       (3535963*s[61])/5346 + 2*s[68] - 2*s[69] - 2*s[73] + 2*s[77] - 
       192*s[82] - 36*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      Omega2[w, u, v]*(-3*s[2] + (23*s[3])/4 + (217*s[4])/8 - 
       (5213*s[5])/132 - (17135*s[6])/264 - (877135*s[7])/1584 - 
       (12307*s[8])/2376 + (52433*s[9])/108 + (16349*s[10])/54 + 
       (869393*s[11])/1584 + (367925*s[12])/792 + (387325*s[13])/1584 + 
       (622007*s[14])/1584 + (134017*s[15])/144 + (867851*s[16])/792 + 
       (206711*s[17])/176 + (14875*s[18])/324 + (125047*s[19])/648 + 
       (10223365*s[20])/7128 + (7652993*s[21])/14256 - 
       (4203385*s[22])/14256 + (45097*s[23])/99 - (3145933*s[24])/3564 + 
       (4566299*s[25])/8019 - (3177653*s[26])/8019 + 2*s[30] - 3*s[34] - 
       9*s[35] - (14*s[36])/3 + (71*s[37])/6 + 16*s[38] - (929*s[39])/12 + 
       (685*s[40])/12 - (467*s[41])/12 + 133*s[42] - (2953*s[43])/132 + 
       (3481*s[44])/264 - (1659*s[45])/11 + (24437*s[46])/44 + 
       (92159*s[47])/792 - (167683*s[48])/792 + (98029*s[49])/792 - 
       (17278*s[50])/33 + (63023*s[51])/792 + (77821*s[52])/792 + 
       (156755*s[53])/396 + (1449*s[54])/11 + (2349979*s[55])/792 + 
       (510811*s[56])/792 + (2702509*s[57])/1188 + (1053689*s[58])/7128 - 
       (1867883*s[59])/7128 - (29511883*s[60])/4752 + 
       (23676863*s[61])/64152 + 2*s[68] - 2*s[69] - (3*s[74])/2 + 
       (3*s[75])/2 - 4*s[76] + 2*s[77] + 4*s[78] - 8*s[79] + (31*s[80])/3 - 
       174*s[82] - 36*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v]*(-33*s[2] + (399*s[3])/4 - (1201*s[4])/4 - 
       (3230*s[5])/11 - (14717*s[6])/22 - (1620161*s[7])/264 + 
       (92089*s[8])/198 + (96755*s[9])/18 + (51587*s[10])/36 + 
       (221779*s[11])/33 + (983321*s[12])/132 + (49164*s[13])/11 + 
       (28612*s[14])/33 + (185657*s[15])/24 + (874763*s[16])/88 + 
       (472003*s[17])/66 + (333667*s[18])/216 + (17533*s[19])/108 + 
       (14703673*s[20])/1188 + (5836441*s[21])/1188 - (990692*s[22])/297 - 
       (97124*s[23])/11 - (13892605*s[24])/2376 + (88393105*s[25])/10692 - 
       (13146955*s[26])/2673 - (3*s[30])/2 - 18*s[31] - (31*s[32])/4 - 
       (87*s[33])/4 + (63*s[34])/2 - (33*s[35])/2 + (157*s[36])/4 + 
       (21*s[37])/8 - 378*s[38] + (21921*s[39])/16 - (24501*s[40])/16 + 
       (20473*s[41])/16 - (31525*s[42])/16 - (244863*s[43])/176 + 
       (469417*s[44])/352 - (227129*s[45])/176 + (119170*s[46])/11 - 
       (77013*s[47])/352 - (207583*s[48])/352 + (2087135*s[49])/352 - 
       (91761*s[50])/11 - (445431*s[51])/352 - (363201*s[52])/352 + 
       (191350*s[53])/33 - (3779*s[54])/22 + (38847097*s[55])/1056 + 
       (10277683*s[56])/1056 - (6963505*s[57])/792 + (156690551*s[58])/9504 - 
       (163896851*s[59])/9504 - (189183347*s[60])/2112 + 
       (193366555*s[61])/42768 + 6*s[67] + 18*s[68] - 6*s[69] + 12*s[70] + 
       6*s[71] - 6*s[72] - 12*s[73] + (21*s[74])/4 - (21*s[75])/4 + 9*s[76] + 
       3*s[77] - 15*s[78] - 126*s[79] - (47*s[80])/4 + 186*s[82] - 72*s[84] - 
       36*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Omega2[v, w, u]*
      ((-109*s[2])/12 - (1009*s[3])/24 - (24901*s[4])/48 - (4949*s[5])/12 - 
       (48581*s[6])/48 - (7588549*s[7])/864 + (11343*s[8])/16 + 
       (133357*s[9])/18 + (18341*s[10])/8 + (2777725*s[11])/288 + 
       (252665*s[12])/24 + (5458145*s[13])/864 + (347425*s[14])/288 + 
       (10066025*s[15])/864 + (3197615*s[16])/216 + (9892657*s[17])/864 + 
       (546503*s[18])/324 + (1586671*s[19])/1296 + (22712165*s[20])/1296 + 
       (16653599*s[21])/2592 - (1325315*s[22])/288 - (2226661*s[23])/216 - 
       (1023635*s[24])/108 + (142692961*s[25])/11664 - 
       (79255093*s[26])/11664 - (5*s[30])/3 - (13*s[31])/3 + (7*s[32])/6 - 
       (65*s[33])/24 + (17*s[34])/3 + (19*s[35])/6 + (403*s[36])/18 - 
       (145*s[37])/4 - (1793*s[38])/6 + (14761*s[39])/12 - (49325*s[40])/36 + 
       (2117*s[41])/2 - (64117*s[42])/36 - (419797*s[43])/396 + 
       (1795483*s[44])/1584 - (326971*s[45])/264 + (7657769*s[46])/792 - 
       (2107517*s[47])/4752 - (511769*s[48])/4752 + (22907207*s[49])/4752 - 
       (1455953*s[50])/198 - (5829481*s[51])/4752 - (4721719*s[52])/4752 + 
       (6076283*s[53])/1188 - (29243*s[54])/99 + (51351431*s[55])/1584 + 
       (41437673*s[56])/4752 - (66105019*s[57])/7128 + 
       (653488225*s[58])/42768 - (656765827*s[59])/42768 - 
       (2236274015*s[60])/28512 + (1642932979*s[61])/384912 + s[65]/3 + 
       (4*s[66])/3 - (8*s[67])/3 - (11*s[68])/3 - (5*s[69])/3 + s[70]/3 - 
       s[71]/3 - (13*s[72])/3 + (5*s[73])/3 + (65*s[74])/12 - (65*s[75])/12 + 
       7*s[76] - (5*s[77])/6 - (23*s[78])/3 - 96*s[79] + (157*s[80])/6 - 
       200*s[82] - s[83] - 42*s[84] - 36*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Omega2[u, v, w]*
      ((-77*s[2])/6 - (229*s[3])/4 - (2219*s[4])/4 - (122387*s[5])/264 - 
       (296743*s[6])/264 - (46572583*s[7])/4752 + (5422183*s[8])/7128 + 
       (2676253*s[9])/324 + (1725715*s[10])/648 + (51009067*s[11])/4752 + 
       (27656155*s[12])/2376 + (3678139*s[13])/528 + (7075435*s[14])/4752 + 
       (1893059*s[15])/144 + (13194035*s[16])/792 + (62202137*s[17])/4752 + 
       (444200*s[18])/243 + (2883257*s[19])/1944 + (421708631*s[20])/21384 + 
       (309108619*s[21])/42768 - (219251105*s[22])/42768 - 
       (2862229*s[23])/264 - (230353489*s[24])/21384 + 
       (652438091*s[25])/48114 - (363865781*s[26])/48114 - (5*s[30])/6 - 
       (13*s[31])/3 + s[32]/3 - (37*s[33])/24 + (35*s[34])/6 + (13*s[35])/3 + 
       (179*s[36])/9 - (545*s[37])/18 - (932*s[38])/3 + (7609*s[39])/6 - 
       (25477*s[40])/18 + (6587*s[41])/6 - (32897*s[42])/18 - 
       (221489*s[43])/198 + (941993*s[44])/792 - (525403*s[45])/396 + 
       (4052915*s[46])/396 - (997705*s[47])/2376 - (423373*s[48])/2376 + 
       (12174727*s[49])/2376 - (775768*s[50])/99 - (2955269*s[51])/2376 - 
       (2377421*s[52])/2376 + (3239933*s[53])/594 - (43877*s[54])/198 + 
       (27459827*s[55])/792 + (7290467*s[56])/792 - (391199*s[57])/44 + 
       (113477879*s[58])/7128 - (114731717*s[59])/7128 - 
       (1193547451*s[60])/14256 + (290579269*s[61])/64152 + s[65]/3 + 
       (4*s[66])/3 - (8*s[67])/3 - (8*s[68])/3 - (8*s[69])/3 - (2*s[70])/3 - 
       s[71]/3 - (14*s[72])/3 + 2*s[73] + (11*s[74])/2 - (11*s[75])/2 + 
       (16*s[76])/3 + s[77]/3 - (26*s[78])/3 - (292*s[79])/3 + 
       (253*s[80])/9 - 200*s[82] - s[83] - 42*s[84] - 36*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((-85*s[2])/6 + (80*s[3])/3 - (2081*s[4])/12 - (13459*s[5])/88 - 
       (24413*s[6])/66 - (3039287*s[7])/1188 + (381197*s[8])/1782 + 
       (179105*s[9])/81 + (304709*s[10])/648 + (13211609*s[11])/4752 + 
       (14413231*s[12])/4752 + (163689*s[13])/88 + (111671*s[14])/297 + 
       (235991*s[15])/72 + (1653713*s[16])/396 + (15008533*s[17])/4752 + 
       (148678*s[18])/243 + (68305*s[19])/1944 + (106749961*s[20])/21384 + 
       (5335697*s[21])/2673 - (29107955*s[22])/21384 - (2254493*s[23])/528 - 
       (96359041*s[24])/42768 + (337177271*s[25])/96228 - 
       (397443631*s[26])/192456 - (2*s[30])/3 - (20*s[31])/3 + (13*s[32])/3 - 
       (31*s[33])/3 + (44*s[34])/3 - (4*s[35])/3 + (178*s[36])/9 + 
       (13*s[37])/9 - (233*s[38])/3 + (3979*s[39])/8 - (42107*s[40])/72 + 
       (11833*s[41])/24 - (57127*s[42])/72 - (301009*s[43])/792 + 
       (748181*s[44])/1584 - (307591*s[45])/792 + (344272*s[46])/99 - 
       (1243945*s[47])/4752 + (486509*s[48])/4752 + (7814155*s[49])/4752 - 
       (253961*s[50])/99 - (2716787*s[51])/4752 - (2086055*s[52])/4752 + 
       (1081843*s[53])/594 - (159485*s[54])/396 + (17928601*s[55])/1584 + 
       (5474507*s[56])/1584 - (2026441*s[57])/396 + (84933251*s[58])/14256 - 
       (84703115*s[59])/14256 - (749341939*s[60])/28512 + 
       (24838325*s[61])/16038 + (2*s[65])/3 + (8*s[66])/3 - (16*s[67])/3 - 
       s[68] - (29*s[69])/3 + (2*s[70])/3 + s[71]/3 - (16*s[72])/3 + 
       8*s[73] + 5*s[74] - 5*s[75] + (14*s[76])/3 + 7*s[77] - (22*s[78])/3 - 
       (176*s[79])/3 + (56*s[80])/9 - 6*s[82] - 2*s[83] - 24*s[84] - 
       36*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u]*((-9*s[2])/2 + (221*s[3])/4 + (12701*s[4])/24 + 
       (15423*s[5])/88 + (44821*s[6])/88 + (25877495*s[7])/4752 - 
       (4259851*s[8])/7128 - (1452325*s[9])/324 - (694819*s[10])/648 - 
       (14616749*s[11])/2376 - (33588857*s[12])/4752 - 
       (20591333*s[13])/4752 + (2246969*s[14])/4752 - (3020551*s[15])/432 - 
       (21111943*s[16])/2376 - (1197527*s[17])/198 - (1819915*s[18])/1944 - 
       (1640813*s[19])/1944 - (208494911*s[20])/21384 - 
       (141287065*s[21])/42768 + (121327271*s[22])/42768 + 
       (42681247*s[23])/4752 + (239515085*s[24])/42768 - 
       (802630261*s[25])/96228 + (799488551*s[26])/192456 + 3*s[30] + 
       (10*s[31])/3 - (2*s[32])/3 + (79*s[33])/12 - 11*s[34] - 6*s[35] - 
       (235*s[36])/6 + (364*s[37])/9 + (892*s[38])/3 - (3505*s[39])/3 + 
       (7429*s[40])/6 - 948*s[41] + (20521*s[42])/12 + (5393*s[43])/6 - 
       (23281*s[44])/24 + (50827*s[45])/72 - (499285*s[46])/72 + 
       (36857*s[47])/72 - (15667*s[48])/72 - (150211*s[49])/36 + 
       (31495*s[50])/6 + (40991*s[51])/36 + (66787*s[52])/72 - 
       (779873*s[53])/216 + (811*s[54])/9 - (1579927*s[55])/72 - 
       (593375*s[56])/108 + (1633645*s[57])/162 - (22709969*s[58])/1944 + 
       (2922274*s[59])/243 + (23729461*s[60])/432 - (91503949*s[61])/34992 + 
       s[62]/2 - s[65]/3 - (4*s[66])/3 + (8*s[67])/3 + 5*s[68] + s[69]/3 - 
       (10*s[70])/3 + (11*s[71])/6 + (10*s[72])/3 - (2*s[73])/3 - 
       (22*s[74])/3 + (22*s[75])/3 - (26*s[76])/3 + (8*s[77])/3 + 
       (40*s[78])/3 + (128*s[79])/3 + (44*s[80])/9 - 126*s[82] + s[83] + 
       30*s[84] - 36*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v]*((-99*s[2])/4 + (791*s[3])/8 + 
       (7225*s[4])/16 - (2883*s[5])/22 + (36915*s[6])/176 + 
       (3754933*s[7])/3168 - (1784807*s[8])/4752 - (144551*s[9])/216 + 
       (66125*s[10])/216 - (4828997*s[11])/3168 - (456457*s[12])/198 - 
       (5136487*s[13])/3168 + (4041487*s[14])/3168 - (250799*s[15])/288 - 
       (2296223*s[16])/1584 + (257051*s[17])/1056 - (75611*s[18])/324 + 
       (5429*s[19])/1296 - (11008369*s[20])/14256 + (6956569*s[21])/28512 + 
       (14148067*s[22])/28512 + (9134215*s[23])/1584 + 
       (11169167*s[24])/14256 - (178187189*s[25])/64152 + 
       (13546583*s[26])/16038 - (31*s[30])/2 - 12*s[31] + (57*s[32])/4 - 
       6*s[33] + (57*s[34])/2 + (106*s[36])/3 + (1199*s[37])/24 + 
       (639*s[38])/4 - (4659*s[39])/8 + (15949*s[40])/24 - (1841*s[41])/4 + 
       (10447*s[42])/12 + (132491*s[43])/264 - (208105*s[44])/528 + 
       (210475*s[45])/528 - (1846847*s[46])/528 + (493925*s[47])/1584 - 
       (349225*s[48])/1584 - (2526203*s[49])/1584 + (301495*s[50])/132 + 
       (881893*s[51])/1584 + (1007599*s[52])/1584 - (2695201*s[53])/1584 + 
       (261593*s[54])/264 - (1871113*s[55])/176 - (1905581*s[56])/528 + 
       (2724445*s[57])/396 - (1738679*s[58])/264 + (10059377*s[59])/1584 + 
       (121464253*s[60])/4752 - (124418105*s[61])/85536 + 3*s[65] + 
       12*s[66] - 18*s[67] + 6*s[68] - 42*s[69] - (9*s[71])/4 - 6*s[72] + 
       18*s[73] + (21*s[74])/4 - (21*s[75])/4 - 27*s[76] + 21*s[77] - 
       21*s[78] + 90*s[79] - (61*s[80])/12 - 354*s[82] - 9*s[83] + 54*s[84] - 
       36*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*(-23*s[2] + (25*s[3])/2 - (7823*s[4])/24 - 
       (3209*s[5])/8 - 797*s[6] - (415763*s[7])/54 + (168733*s[8])/324 + 
       (1070537*s[9])/162 + (1483909*s[10])/648 + (908153*s[11])/108 + 
       (1940021*s[12])/216 + (1150685*s[13])/216 + (77569*s[14])/54 + 
       (1132333*s[15])/108 + (1426315*s[16])/108 + (127795*s[17])/12 + 
       (342545*s[18])/243 + (1219657*s[19])/972 + (15417215*s[20])/972 + 
       (11472535*s[21])/1944 - (1988261*s[22])/486 - (392701*s[23])/54 - 
       (8475151*s[24])/972 + (90995237*s[25])/8748 - (51752969*s[26])/8748 + 
       (5*s[30])/2 - (31*s[31])/3 + (49*s[32])/6 - (125*s[33])/24 + 
       (29*s[34])/2 - 7*s[35] + (51*s[36])/2 - (275*s[37])/18 - 
       (1499*s[38])/6 + (24107*s[39])/24 - (8997*s[40])/8 + (7007*s[41])/8 - 
       (11393*s[42])/8 - (232229*s[43])/264 + (176967*s[44])/176 - 
       (367261*s[45])/396 + (6035375*s[46])/792 - (146045*s[47])/528 - 
       (36809*s[48])/176 + (755269*s[49])/176 - (133259*s[50])/22 - 
       (514847*s[51])/528 - (374041*s[52])/528 + (9749863*s[53])/2376 + 
       (107047*s[54])/396 + (41006545*s[55])/1584 + (29941093*s[56])/4752 - 
       (21919285*s[57])/3564 + (493276139*s[58])/42768 - 
       (508567805*s[59])/42768 - (608815391*s[60])/9504 + 
       (1201987145*s[61])/384912 + (4*s[65])/3 + (16*s[66])/3 - 
       (29*s[67])/3 - s[68] - (55*s[69])/3 + s[70]/3 - (11*s[71])/6 - 
       (22*s[72])/3 + (26*s[73])/3 + (19*s[74])/3 - (19*s[75])/3 - 
       (10*s[76])/3 + (25*s[77])/3 - (34*s[78])/3 - (284*s[79])/3 + 
       (364*s[80])/9 - 296*s[82] + (5*s[83])/4 - (75*s[84])/2 - 34*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((113*s[2])/12 + (203*s[3])/24 + (14489*s[4])/48 + (13763*s[5])/88 + 
       (206785*s[6])/528 + (31095649*s[7])/9504 - (4973119*s[8])/14256 - 
       (884999*s[9])/324 - (170413*s[10])/324 - (34876027*s[11])/9504 - 
       (9979601*s[12])/2376 - (8031703*s[13])/3168 + (882581*s[14])/9504 - 
       (1178893*s[15])/288 - (520009*s[16])/99 - (34113197*s[17])/9504 - 
       (736381*s[18])/972 - (856079*s[19])/3888 - (255240923*s[20])/42768 - 
       (186659281*s[21])/85536 + (145022489*s[22])/85536 + 
       (4749431*s[23])/792 + (31506649*s[24])/10692 - 
       (1873143161*s[25])/384912 + (990605357*s[26])/384912 - (17*s[30])/6 + 
       (20*s[31])/3 - (4*s[32])/3 + (91*s[33])/12 - (109*s[34])/6 - 
       (14*s[35])/3 - (667*s[36])/36 + (329*s[37])/36 + (1973*s[38])/12 - 
       (8853*s[39])/16 + (83305*s[40])/144 - (22661*s[41])/48 + 
       (118907*s[42])/144 + (66649*s[43])/144 - (117227*s[44])/288 + 
       (18649*s[45])/36 - (576443*s[46])/144 + (224713*s[47])/864 - 
       (109085*s[48])/864 - (1555411*s[49])/864 + (26203*s[50])/9 + 
       (539471*s[51])/864 + (475865*s[52])/864 - (112181*s[53])/54 + 
       (7205*s[54])/18 - (3702433*s[55])/288 - (363833*s[56])/96 + 
       (1149043*s[57])/216 - (17671777*s[58])/2592 + (17440399*s[59])/2592 + 
       (158607193*s[60])/5184 - (14334913*s[61])/7776 + s[65]/3 + 
       (4*s[66])/3 - (5*s[67])/3 + 2*s[68] - (13*s[69])/3 + s[70]/3 - 
       (23*s[71])/6 - (2*s[72])/3 - (3*s[73])/2 - 2*s[74] + (5*s[75])/2 - 
       (20*s[76])/3 + 2*s[77] + (35*s[78])/6 - (31*s[79])/3 + (283*s[80])/9 - 
       416*s[82] + (17*s[83])/4 + (33*s[84])/2 - 34*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((7*s[3])/3 + (47*s[4])/3 - (1712*s[5])/33 - (4469*s[6])/44 - 
       (67967*s[7])/88 - (37*s[8])/66 + 681*s[9] + (1327*s[10])/4 + 
       (221873*s[11])/264 + (223031*s[12])/264 + (5432*s[13])/11 + 
       (18203*s[14])/44 + (25273*s[15])/24 + (371359*s[16])/264 + 
       (327193*s[17])/264 + (4895*s[18])/36 + (1438*s[19])/9 + 
       (738625*s[20])/396 + (147019*s[21])/198 - (55195*s[22])/132 + 
       (3020*s[23])/33 - (45503*s[24])/44 + (1660225*s[25])/1782 - 
       (2241575*s[26])/3564 + (4*s[32])/3 + (32*s[37])/3 - (23*s[38])/3 - 
       s[39]/6 - (95*s[40])/6 + 17*s[41] + (130*s[42])/3 - (4223*s[43])/66 + 
       (20645*s[44])/264 - (10853*s[45])/66 + (8905*s[46])/11 + 
       (66301*s[47])/792 - (176315*s[48])/792 + (299243*s[49])/792 - 
       (7190*s[50])/11 + (27395*s[51])/792 + (24503*s[52])/792 + 
       (167297*s[53])/396 + (4397*s[54])/33 + (2559269*s[55])/792 + 
       (214531*s[56])/264 + (223279*s[57])/198 + (1896659*s[58])/2376 - 
       (1948559*s[59])/2376 - (38381561*s[60])/4752 + (1519715*s[61])/3564 + 
       (8*s[68])/3 - (8*s[69])/3 + (8*s[77])/3 - 194*s[82] - 32*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-8*s[2])/3 + (35*s[3])/3 + 39*s[4] - (2927*s[5])/132 - 
       (1286*s[6])/33 - (365311*s[7])/1188 - (20755*s[8])/891 + 
       (45845*s[9])/162 + (70571*s[10])/324 + (718409*s[11])/2376 + 
       (555619*s[12])/2376 + (19211*s[13])/198 + (210431*s[14])/594 + 
       (9319*s[15])/18 + (259223*s[16])/396 + (1740109*s[17])/2376 + 
       (33101*s[18])/972 + (24970*s[19])/243 + (5114435*s[20])/5346 + 
       (2009795*s[21])/5346 - (1864817*s[22])/10692 + (451277*s[23])/792 - 
       (12022555*s[24])/21384 + (23202079*s[25])/96228 - 
       (11036231*s[26])/48114 + (8*s[30])/3 - (8*s[34])/3 - (32*s[35])/3 - 
       (47*s[36])/9 + (107*s[37])/9 + 19*s[38] - (357*s[39])/4 + 
       (2573*s[40])/36 - (179*s[41])/4 + (5533*s[42])/36 + (1687*s[43])/396 - 
       (1907*s[44])/792 - (38869*s[45])/396 + (6179*s[46])/22 + 
       (282829*s[47])/2376 - (491285*s[48])/2376 + (47639*s[49])/2376 - 
       (28697*s[50])/99 + (221957*s[51])/2376 + (246137*s[52])/2376 + 
       (13025*s[53])/66 + (2635*s[54])/22 + (1382431*s[55])/792 + 
       (1002517*s[56])/2376 + (1711339*s[57])/891 - (2344735*s[58])/21384 + 
       (1519327*s[59])/21384 - (53802503*s[60])/14256 + 
       (22182109*s[61])/96228 + (8*s[68])/3 - (8*s[69])/3 - (4*s[74])/3 + 
       (4*s[75])/3 - (16*s[76])/3 + (8*s[77])/3 + (16*s[78])/3 - 
       (32*s[79])/3 + (112*s[80])/9 - 194*s[82] - 32*s[85]) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((7*s[3])/3 + (29*s[4])/3 - (5415*s[5])/88 - (9305*s[6])/88 - 
       (356341*s[7])/396 + (20737*s[8])/2376 + (169889*s[9])/216 + 
       (82165*s[10])/216 + (94177*s[11])/99 + (183691*s[12])/198 + 
       (11745*s[13])/22 + (180733*s[14])/396 + (94853*s[15])/72 + 
       (217735*s[16])/132 + (1208593*s[17])/792 + (83275*s[18])/648 + 
       (71701*s[19])/324 + (3820613*s[20])/1782 + (5948237*s[21])/7128 - 
       (852493*s[22])/1782 + (23521*s[23])/264 - (8664115*s[24])/7128 + 
       (137687797*s[25])/128304 - (91234657*s[26])/128304 + (4*s[32])/3 + 
       (22*s[37])/3 - (35*s[38])/6 - (105*s[39])/8 - (73*s[40])/24 + 
       (263*s[41])/24 + (499*s[42])/8 - (5417*s[43])/88 + (12699*s[44])/176 - 
       (50539*s[45])/264 + (118453*s[46])/132 + (152573*s[47])/1584 - 
       (341569*s[48])/1584 + (585697*s[49])/1584 - (98047*s[50])/132 + 
       (8607*s[51])/176 + (71785*s[52])/1584 + (203425*s[53])/396 + 
       (8993*s[54])/66 + (6126025*s[55])/1584 + (1434775*s[56])/1584 + 
       (1985087*s[57])/1188 + (11116223*s[58])/14256 - 
       (12332987*s[59])/14256 - (85473073*s[60])/9504 + 
       (30517087*s[61])/64152 + (8*s[68])/3 - (8*s[69])/3 + (8*s[77])/3 - 
       193*s[82] - 32*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 1}, 1 - v]*((-8*s[2])/3 + (41*s[3])/3 + 39*s[4] - 
       (1865*s[5])/88 - (3309*s[6])/88 - (76543*s[7])/297 - 
       (189155*s[8])/7128 + (154637*s[9])/648 + (127063*s[10])/648 + 
       (299707*s[11])/1188 + (220739*s[12])/1188 + (8599*s[13])/132 + 
       (405577*s[14])/1188 + (10717*s[15])/24 + (56602*s[16])/99 + 
       (1558123*s[17])/2376 + (38137*s[18])/1944 + (46397*s[19])/486 + 
       (9112669*s[20])/10692 + (6937853*s[21])/21384 - (400082*s[22])/2673 + 
       (156569*s[23])/264 - (10943569*s[24])/21384 + 
       (72686743*s[25])/384912 - (71024551*s[26])/384912 + (8*s[30])/3 - 
       (8*s[34])/3 - (32*s[35])/3 - (56*s[36])/9 + (113*s[37])/9 + 
       (125*s[38])/6 - (2273*s[39])/24 + (5527*s[40])/72 - (1135*s[41])/24 + 
       (11705*s[42])/72 + (9917*s[43])/792 - (10687*s[44])/1584 - 
       (71927*s[45])/792 + (30385*s[46])/132 + (570989*s[47])/4752 - 
       (962785*s[48])/4752 - (52847*s[49])/4752 - (97553*s[50])/396 + 
       (466855*s[51])/4752 + (502729*s[52])/4752 + (66175*s[53])/396 + 
       (2375*s[54])/22 + (2433979*s[55])/1584 + (1816115*s[56])/4752 + 
       (3396623*s[57])/1782 - (7700177*s[58])/42768 + (6735701*s[59])/42768 - 
       (94881649*s[60])/28512 + (5058931*s[61])/24057 + (8*s[68])/3 - 
       (8*s[69])/3 - (4*s[74])/3 + (4*s[75])/3 - (16*s[76])/3 + (8*s[77])/3 + 
       (16*s[78])/3 - (32*s[79])/3 + (112*s[80])/9 - 193*s[82] - 32*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((7*s[3])/3 + (11*s[4])/3 - (2993*s[5])/132 - (2379*s[6])/22 - 
       (31997*s[7])/44 + (287*s[8])/22 + (3677*s[9])/6 + (3713*s[10])/12 + 
       (226265*s[11])/264 + (241583*s[12])/264 + (26747*s[13])/44 + 
       (3057*s[14])/11 + (5737*s[15])/6 + (180179*s[16])/132 + 
       (290605*s[17])/264 + (307*s[18])/9 + (8975*s[19])/36 + 
       (637829*s[20])/396 + (39643*s[21])/66 - (158239*s[22])/396 + 
       (34669*s[23])/264 - (881209*s[24])/792 + (3674783*s[25])/3564 - 
       (536099*s[26])/891 + (4*s[32])/3 + 8*s[37] - (53*s[38])/3 + 
       (97*s[39])/12 - (289*s[40])/12 + (69*s[41])/4 + (499*s[42])/12 - 
       (11395*s[43])/132 + (27323*s[44])/264 - (19015*s[45])/132 + 
       (17683*s[46])/22 + (87595*s[47])/792 - (228083*s[48])/792 + 
       (393563*s[49])/792 - (7236*s[50])/11 + (30005*s[51])/792 + 
       (32783*s[52])/792 + (82153*s[53])/198 + (5999*s[54])/33 + 
       (2500079*s[55])/792 + (63961*s[56])/88 + (226793*s[57])/198 + 
       (620533*s[58])/792 - (227863*s[59])/264 - (40051043*s[60])/4752 + 
       (1980211*s[61])/5346 + (8*s[68])/3 - (8*s[69])/3 + (8*s[77])/3 - 
       182*s[82] - 32*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1}, 1 - u]*((16*s[2])/3 + (7*s[3])/3 + (47*s[4])/3 - 
       (6961*s[5])/132 - (2139*s[6])/22 - (36909*s[7])/44 + (533*s[8])/66 + 
       (1471*s[9])/2 + (1467*s[10])/4 + (234937*s[11])/264 + 
       (229535*s[12])/264 + (22219*s[13])/44 + (14537*s[14])/33 + 
       (7249*s[15])/6 + (202259*s[16])/132 + (373469*s[17])/264 + 
       (1031*s[18])/9 + (7711*s[19])/36 + (795037*s[20])/396 + 
       (16849*s[21])/22 - (19727*s[22])/44 + (57085*s[23])/264 - 
       (912265*s[24])/792 + (3581255*s[25])/3564 - (585887*s[26])/891 + 
       (4*s[32])/3 + 8*s[37] - (17*s[38])/3 - (191*s[39])/12 - s[40]/12 + 
       (21*s[41])/4 + (787*s[42])/12 - (8083*s[43])/132 + (17675*s[44])/264 - 
       (24247*s[45])/132 + (18547*s[46])/22 + (75211*s[47])/792 - 
       (173939*s[48])/792 + (281819*s[49])/792 - (7784*s[50])/11 + 
       (34325*s[51])/792 + (32159*s[52])/792 + (93961*s[53])/198 + 
       (4463*s[54])/33 + (2870063*s[55])/792 + (219371*s[56])/264 + 
       (336337*s[57])/198 + (1656287*s[58])/2376 - (1809167*s[59])/2376 - 
       (40865603*s[60])/4752 + (803357*s[61])/1782 + (8*s[68])/3 - 
       (8*s[69])/3 + (8*s[77])/3 - 182*s[82] - 32*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((19*s[3])/3 + (47*s[4])/3 - (8465*s[5])/132 - (2163*s[6])/22 - 
       (39357*s[7])/44 + (127*s[8])/22 + (4733*s[9])/6 + (4769*s[10])/12 + 
       (235337*s[11])/264 + (210623*s[12])/264 + (19979*s[13])/44 + 
       (5461*s[14])/11 + (8545*s[15])/6 + (217475*s[16])/132 + 
       (441373*s[17])/264 + (955*s[18])/9 + (9119*s[19])/36 + 
       (841013*s[20])/396 + (52123*s[21])/66 - (185935*s[22])/396 + 
       (101149*s[23])/264 - (975529*s[24])/792 + (3616295*s[25])/3564 - 
       (591785*s[26])/891 + (4*s[32])/3 - 4*s[36] + 8*s[37] - (5*s[38])/3 - 
       (287*s[39])/12 + (95*s[40])/12 + (5*s[41])/4 + (883*s[42])/12 - 
       (7939*s[43])/132 + (13307*s[44])/264 - (27895*s[45])/132 + 
       (19411*s[46])/22 + (73387*s[47])/792 - (153587*s[48])/792 + 
       (241883*s[49])/792 - (8244*s[50])/11 + (23861*s[51])/792 + 
       (32591*s[52])/792 + (109993*s[53])/198 + (2399*s[54])/33 + 
       (3237935*s[55])/792 + (77593*s[56])/88 + (459785*s[57])/198 + 
       (433205*s[58])/792 - (543877*s[59])/792 - (42051875*s[60])/4752 + 
       (2488195*s[61])/5346 + (8*s[68])/3 - (8*s[69])/3 + (8*s[77])/3 - 
       182*s[82] - 32*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 0, 1}, 1 - v]*((-8*s[2])/3 + (35*s[3])/3 + 35*s[4] - 
       (1295*s[5])/132 - (1202*s[6])/33 - (293851*s[7])/1188 - 
       (19531*s[8])/891 + (35729*s[9])/162 + (62939*s[10])/324 + 
       (616817*s[11])/2376 + (497371*s[12])/2376 + (21611*s[13])/198 + 
       (172235*s[14])/594 + (7393*s[15])/18 + (218843*s[16])/396 + 
       (1444837*s[17])/2376 - (15787*s[18])/972 + (32440*s[19])/243 + 
       (4046351*s[20])/5346 + (1421663*s[21])/5346 - (1544417*s[22])/10692 + 
       (502925*s[23])/792 - (11554987*s[24])/21384 + (21973867*s[25])/96228 - 
       (8170325*s[26])/48114 + (8*s[30])/3 - (8*s[34])/3 - (32*s[35])/3 - 
       (56*s[36])/9 + (113*s[37])/9 + 17*s[38] - (365*s[39])/4 + 
       (2645*s[40])/36 - (195*s[41])/4 + (5749*s[42])/36 + (2551*s[43])/396 + 
       (3565*s[44])/792 - (34621*s[45])/396 + (5267*s[46])/22 + 
       (297229*s[47])/2376 - (533909*s[48])/2376 + (82055*s[49])/2376 - 
       (25691*s[50])/99 + (225701*s[51])/2376 + (264569*s[52])/2376 + 
       (3695*s[53])/22 + (2699*s[54])/22 + (1209751*s[55])/792 + 
       (866869*s[56])/2376 + (1691197*s[57])/891 - (3406159*s[58])/21384 + 
       (2791999*s[59])/21384 - (50909255*s[60])/14256 + 
       (18628477*s[61])/96228 + (8*s[68])/3 - (8*s[69])/3 - (4*s[74])/3 + 
       (4*s[75])/3 - (16*s[76])/3 + (8*s[77])/3 + (16*s[78])/3 - 
       (32*s[79])/3 + (112*s[80])/9 - 182*s[82] - 32*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      ((-8*s[2])/3 + (35*s[3])/3 + 43*s[4] - (3119*s[5])/132 - 
       (434*s[6])/33 - (296731*s[7])/1188 - (23275*s[8])/891 + 
       (39113*s[9])/162 + (69131*s[10])/324 + (490385*s[11])/2376 + 
       (249259*s[12])/2376 - (421*s[13])/198 + (211151*s[14])/594 + 
       (9241*s[15])/18 + (224459*s[16])/396 + (1751413*s[17])/2376 + 
       (11573*s[18])/972 + (28300*s[19])/243 + (4632395*s[20])/5346 + 
       (1711895*s[21])/5346 - (1514105*s[22])/10692 + (579965*s[23])/792 - 
       (10775515*s[24])/21384 + (12087619*s[25])/96228 - 
       (7568477*s[26])/48114 + (8*s[30])/3 - (8*s[34])/3 - (32*s[35])/3 - 
       (56*s[36])/9 + (113*s[37])/9 + 29*s[38] - (461*s[39])/4 + 
       (3509*s[40])/36 - (243*s[41])/4 + (6613*s[42])/36 + 
       (12487*s[43])/396 - (25379*s[44])/792 - (42397*s[45])/396 + 
       (4547*s[46])/22 + (260077*s[47])/2376 - (371477*s[48])/2376 - 
       (253177*s[49])/2376 - (26663*s[50])/99 + (238661*s[51])/2376 + 
       (275369*s[52])/2376 + (4479*s[53])/22 + (2027*s[54])/22 + 
       (1423447*s[55])/792 + (898837*s[56])/2376 + (2195233*s[57])/891 - 
       (7484239*s[58])/21384 + (6170239*s[59])/21384 - 
       (45895463*s[60])/14256 + (21040549*s[61])/96228 + (8*s[68])/3 - 
       (8*s[69])/3 - (4*s[74])/3 + (4*s[75])/3 - (16*s[76])/3 + (8*s[77])/3 + 
       (16*s[78])/3 - (32*s[79])/3 + (112*s[80])/9 - 182*s[82] - 32*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((-8*s[2])/3 + 9*s[3] + 39*s[4] - (2735*s[5])/132 - (1082*s[6])/33 - 
       (338059*s[7])/1188 - (21007*s[8])/891 + (42353*s[9])/162 + 
       (69131*s[10])/324 + (640721*s[11])/2376 + (454891*s[12])/2376 + 
       (14291*s[13])/198 + (203375*s[14])/594 + (9193*s[15])/18 + 
       (244091*s[16])/396 + (1720885*s[17])/2376 + (12005*s[18])/972 + 
       (29164*s[19])/243 + (4801307*s[20])/5346 + (1790519*s[21])/5346 - 
       (1710233*s[22])/10692 + (512669*s[23])/792 - (11840827*s[24])/21384 + 
       (20382883*s[25])/96228 - (9361925*s[26])/48114 + (8*s[30])/3 - 
       (8*s[34])/3 - (64*s[35])/3 - (92*s[36])/9 + (113*s[37])/9 + 21*s[38] - 
       (397*s[39])/4 + (2933*s[40])/36 - (211*s[41])/4 + (6037*s[42])/36 + 
       (3559*s[43])/396 - (6947*s[44])/792 - (40093*s[45])/396 + 
       (5699*s[46])/22 + (286573*s[47])/2376 - (478037*s[48])/2376 - 
       (22201*s[49])/2376 - (27959*s[50])/99 + (230597*s[51])/2376 + 
       (258089*s[52])/2376 + (13405*s[53])/66 + (2539*s[54])/22 + 
       (1402135*s[55])/792 + (935125*s[56])/2376 + (1924801*s[57])/891 - 
       (4494799*s[58])/21384 + (3388159*s[59])/21384 - 
       (52161191*s[60])/14256 + (21209029*s[61])/96228 + (8*s[68])/3 - 
       (8*s[69])/3 - (4*s[74])/3 + (4*s[75])/3 - (16*s[76])/3 + (8*s[77])/3 + 
       (16*s[78])/3 - (32*s[79])/3 + (112*s[80])/9 - 182*s[82] - 32*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-8*s[2])/3 + (47*s[3])/3 + 39*s[4] + (193*s[5])/22 - 
       (3335*s[6])/264 + (17959*s[7])/594 - (297389*s[8])/7128 - 
       (12961*s[9])/648 + (7136*s[10])/81 - (133721*s[11])/4752 - 
       (308527*s[12])/4752 - (6181*s[13])/132 + (63925*s[14])/297 - 
       (1213*s[15])/18 + (17321*s[16])/792 + (454307*s[17])/4752 - 
       (54599*s[18])/1944 + (68399*s[19])/1944 + (1594771*s[20])/10692 + 
       (457261*s[21])/10692 - (135895*s[22])/21384 + (394115*s[23])/528 - 
       (6603077*s[24])/42768 - (51486005*s[25])/384912 + 
       (16131197*s[26])/384912 + (8*s[30])/3 - (8*s[34])/3 - (32*s[35])/3 - 
       (56*s[36])/9 + (113*s[37])/9 + 26*s[38] - (355*s[39])/3 + 
       (905*s[40])/9 - (727*s[41])/12 + (7021*s[42])/36 + (4507*s[43])/99 - 
       (24749*s[44])/792 - (4489*s[45])/99 - (661*s[46])/11 + 
       (279541*s[47])/2376 - (450815*s[48])/2376 - (419611*s[49])/2376 + 
       (65*s[50])/198 + (261341*s[51])/2376 + (242657*s[52])/2376 - 
       (20555*s[53])/396 + (1599*s[54])/22 + (18071*s[55])/88 + 
       (359989*s[56])/2376 + (1354993*s[57])/891 - (9144397*s[58])/21384 + 
       (11690911*s[59])/21384 - (7971437*s[60])/14256 + 
       (18805433*s[61])/192456 + (8*s[68])/3 - (8*s[69])/3 - (4*s[74])/3 + 
       (4*s[75])/3 - (16*s[76])/3 + (8*s[77])/3 + (16*s[78])/3 - 
       (32*s[79])/3 + (112*s[80])/9 - 176*s[82] - 32*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - w]*
      ((7*s[3])/3 + (58*s[4])/3 - (2411*s[5])/44 - (2031*s[6])/22 - 
       (105509*s[7])/132 + (1823*s[8])/594 + (37825*s[9])/54 + 
       (38245*s[10])/108 + (660163*s[11])/792 + (632177*s[12])/792 + 
       (179657*s[13])/396 + (90763*s[14])/198 + (10610*s[15])/9 + 
       (580133*s[16])/396 + (1102711*s[17])/792 + (9190*s[18])/81 + 
       (65339*s[19])/324 + (6925001*s[20])/3564 + (663428*s[21])/891 - 
       (1505797*s[22])/3564 + (202819*s[23])/792 - (7821485*s[24])/7128 + 
       (29611019*s[25])/32076 - (4997660*s[26])/8019 + (4*s[32])/3 + 
       8*s[37] - (16*s[38])/3 - (323*s[39])/12 + (131*s[40])/12 - 
       (61*s[41])/12 + (317*s[42])/4 - (6719*s[43])/132 + (4865*s[44])/88 - 
       (23323*s[45])/132 + (50405*s[46])/66 + (26713*s[47])/264 - 
       (56953*s[48])/264 + (79097*s[49])/264 - (7146*s[50])/11 + 
       (40661*s[51])/792 + (12421*s[52])/264 + (29729*s[53])/66 + 
       (3077*s[54])/33 + (2683151*s[55])/792 + (211715*s[56])/264 + 
       (39297*s[57])/22 + (452333*s[58])/792 - (503909*s[59])/792 - 
       (12558593*s[60])/1584 + (14075*s[61])/33 + (8*s[68])/3 - (8*s[69])/3 + 
       (8*s[77])/3 - 164*s[82] - 32*s[85]) + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - w]*(-3*s[2] + s[3]/3 + 
       (203*s[4])/12 - (7223*s[5])/264 - (5075*s[6])/66 - (421493*s[7])/792 - 
       (4729*s[8])/594 + (25027*s[9])/54 + (51713*s[10])/216 + 
       (898067*s[11])/1584 + (893617*s[12])/1584 + (64373*s[13])/198 + 
       (135713*s[14])/396 + (25811*s[15])/36 + (378967*s[16])/396 + 
       (451115*s[17])/528 + (7828*s[18])/81 + (69079*s[19])/648 + 
       (4760567*s[20])/3564 + (3774151*s[21])/7128 - (2030819*s[22])/7128 + 
       (407575*s[23])/1584 - (10225141*s[24])/14256 + (4922480*s[25])/8019 - 
       (14138711*s[26])/32076 - (2*s[32])/3 + s[33]/2 + 2*s[34] - 
       (2*s[36])/3 + (59*s[37])/6 + (17*s[38])/3 - (1277*s[39])/24 + 
       (303*s[40])/8 - (451*s[41])/24 + (905*s[42])/8 - (2401*s[43])/264 + 
       (10211*s[44])/528 - (33485*s[45])/264 + (59467*s[46])/132 + 
       (50521*s[47])/528 - (32799*s[48])/176 + (17591*s[49])/176 - 
       (24361*s[50])/66 + (114277*s[51])/1584 + (28729*s[52])/528 + 
       (93749*s[53])/396 + (5113*s[54])/132 + (366447*s[55])/176 + 
       (936901*s[56])/1584 + (420302*s[57])/297 + (4153661*s[58])/14256 - 
       (3820913*s[59])/14256 - (5141899*s[60])/1056 + (9745619*s[61])/32076 + 
       (8*s[68])/3 - (8*s[69])/3 + 2*s[76] + (8*s[77])/3 - (4*s[80])/3 - 
       162*s[82] - 32*s[85]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*((-8*s[2])/3 + (79*s[3])/6 + (225*s[4])/4 - 
       (789*s[5])/88 - (4777*s[6])/264 - (92467*s[7])/1188 - 
       (287711*s[8])/7128 + (54599*s[9])/648 + (102901*s[10])/648 + 
       (57881*s[11])/2376 - (105865*s[12])/1188 - (71161*s[13])/792 + 
       (817271*s[14])/2376 + (17747*s[15])/72 + (207487*s[16])/792 + 
       (287839*s[17])/594 - (34301*s[18])/1944 + (67741*s[19])/972 + 
       (2600231*s[20])/5346 + (2254915*s[21])/10692 - (1020499*s[22])/21384 + 
       (357589*s[23])/396 - (766346*s[24])/2673 - (41941079*s[25])/384912 - 
       (18476533*s[26])/384912 + (11*s[30])/3 - (8*s[34])/3 - (32*s[35])/3 - 
       (32*s[36])/9 + (125*s[37])/9 + (92*s[38])/3 - (3305*s[39])/24 + 
       (8803*s[40])/72 - (733*s[41])/8 + (15869*s[42])/72 + 
       (26969*s[43])/792 - (82057*s[44])/1584 - (61535*s[45])/792 + 
       (2083*s[46])/132 + (649643*s[47])/4752 - (985507*s[48])/4752 - 
       (762689*s[49])/4752 - (31331*s[50])/396 + (675541*s[51])/4752 + 
       (672619*s[52])/4752 + (5809*s[53])/66 + (2407*s[54])/33 + 
       (1683485*s[55])/1584 + (1162181*s[56])/4752 + (9134995*s[57])/3564 - 
       (26410103*s[58])/42768 + (22614947*s[59])/42768 - 
       (45558307*s[60])/28512 + (12568681*s[61])/96228 + (8*s[68])/3 - 
       (8*s[69])/3 - (4*s[74])/3 + (4*s[75])/3 - (10*s[76])/3 + (8*s[77])/3 + 
       (16*s[78])/3 - (20*s[79])/3 + (103*s[80])/9 - 150*s[82] - 32*s[85]) + 
     HPL[{0, 0, 1}, 1 - w]*Omega2[w, u, v]*((3*s[2])/2 - 39*s[3] - 67*s[4] - 
       (3855*s[5])/44 - (3961*s[6])/22 - (448301*s[7])/264 + 
       (12239*s[8])/99 + (12712*s[9])/9 + (22043*s[10])/36 + 
       (232255*s[11])/132 + (465865*s[12])/264 + (85727*s[13])/88 + 
       (131981*s[14])/264 + (20597*s[15])/8 + (134173*s[16])/44 + 
       (362915*s[17])/132 + (32687*s[18])/108 + (19259*s[19])/54 + 
       (4432411*s[20])/1188 + (3206279*s[21])/2376 - (2034205*s[22])/2376 - 
       (100819*s[23])/88 - (4940077*s[24])/2376 + (45695291*s[25])/21384 - 
       (26997269*s[26])/21384 - s[30] + 4*s[31] - s[32] + 5*s[33] - 
       11*s[34] + 2*s[35] - (67*s[36])/6 - (85*s[37])/12 - 24*s[38] + 
       (429*s[39])/8 - (1547*s[40])/24 + (281*s[41])/8 - (1189*s[42])/24 - 
       (35305*s[43])/264 + (36779*s[44])/528 - (80951*s[45])/264 + 
       (17085*s[46])/11 + (51347*s[47])/1584 - (229087*s[48])/1584 + 
       (761203*s[49])/1584 - (39497*s[50])/33 - (35435*s[51])/1584 - 
       (28145*s[52])/1584 + (61771*s[53])/66 - (613*s[54])/22 + 
       (3329053*s[55])/528 + (2594621*s[56])/1584 + (1386805*s[57])/1188 + 
       (25606549*s[58])/14256 - (26993521*s[59])/14256 - 
       (129571591*s[60])/9504 + (52480037*s[61])/64152 - s[65] - 4*s[66] + 
       6*s[67] - s[68] + 11*s[69] - 2*s[70] + s[71] + 2*s[72] - 6*s[73] - 
       (5*s[74])/2 + (5*s[75])/2 + 7*s[76] - 5*s[77] + 8*s[78] - 6*s[79] - 
       (19*s[80])/6 - 142*s[82] + 3*s[83] - 18*s[84] - 32*s[85]) + 
     HPL[{0, 0, 1}, 1 - u]*Omega2[w, u, v]*((7*s[2])/2 - (233*s[3])/4 - 
       (1193*s[4])/8 - (475*s[5])/11 - (17877*s[6])/88 - 
       (3263545*s[7])/1584 + (52835*s[8])/264 + (19915*s[9])/12 + 
       (1963*s[10])/3 + (1146235*s[11])/528 + (203651*s[12])/88 + 
       (2054957*s[13])/1584 + (147601*s[14])/528 + (430051*s[15])/144 + 
       (1437683*s[16])/396 + (4781971*s[17])/1584 + (17851*s[18])/54 + 
       (94529*s[19])/216 + (10000523*s[20])/2376 + (6375731*s[21])/4752 - 
       (1639417*s[22])/1584 - (1647455*s[23])/792 - (1917265*s[24])/792 + 
       (60504919*s[25])/21384 - (31359967*s[26])/21384 - s[30] + 4*s[31] - 
       (5*s[32])/2 + 2*s[33] - 9*s[34] - s[35] - (25*s[36])/3 + 
       (13*s[37])/3 - 17*s[38] + 88*s[39] - (371*s[40])/3 + (195*s[41])/2 - 
       (1621*s[42])/12 - (4198*s[43])/33 + (28661*s[44])/264 - 
       (36401*s[45])/132 + (70009*s[46])/44 + (4817*s[47])/792 - 
       (77023*s[48])/792 + (395299*s[49])/792 - (86543*s[50])/66 - 
       (95165*s[51])/792 - (52697*s[52])/792 + (21531*s[53])/22 - 
       (932*s[54])/11 + (1708775*s[55])/264 + (1309337*s[56])/792 + 
       (753251*s[57])/1188 + (13941643*s[58])/7128 - (14517805*s[59])/7128 - 
       (65589079*s[60])/4752 + (53492515*s[61])/64152 - s[65] - 4*s[66] + 
       6*s[67] + 9*s[69] + s[71] + 2*s[72] - 8*s[73] - (3*s[74])/2 + 
       (3*s[75])/2 + s[76] - 5*s[77] + 10*s[78] - 36*s[79] + (29*s[80])/3 - 
       142*s[82] + 3*s[83] - 18*s[84] - 32*s[85]) + 
     HPL[{0, 0, 1}, 1 - w]*Omega2[v, w, u]*((3*s[2])/2 - (81*s[3])/2 - 
       (711*s[4])/4 - (5737*s[5])/44 - (15013*s[6])/44 - (33288*s[7])/11 + 
       (285641*s[8])/1188 + (67384*s[9])/27 + (98501*s[10])/108 + 
       (2601791*s[11])/792 + (2781415*s[12])/792 + (821605*s[13])/396 + 
       (101789*s[14])/198 + (76093*s[15])/18 + (1043411*s[16])/198 + 
       (3398333*s[17])/792 + (155093*s[18])/324 + (201403*s[19])/324 + 
       (5509855*s[20])/891 + (1929256*s[21])/891 - (5513969*s[22])/3564 - 
       (2206069*s[23])/792 - (26017093*s[24])/7128 + (268423583*s[25])/
        64152 - (146407145*s[26])/64152 + s[30] + 4*s[31] - s[32] + 5*s[33] - 
       11*s[34] + 2*s[35] - (37*s[36])/6 + (13*s[37])/12 - 76*s[38] + 
       (2139*s[39])/8 - (7661*s[40])/24 + (2127*s[41])/8 - (8671*s[42])/24 - 
       (98671*s[43])/264 + (170501*s[44])/528 - (148801*s[45])/264 + 
       (118405*s[46])/33 + (39653*s[47])/1584 - (462937*s[48])/1584 + 
       (2522317*s[49])/1584 - (93437*s[50])/33 - (400661*s[51])/1584 - 
       (284111*s[52])/1584 + (407443*s[53])/198 - (1225*s[54])/66 + 
       (2379305*s[55])/176 + (1791505*s[56])/528 + (203065*s[57])/396 + 
       (812763*s[58])/176 - (7697047*s[59])/1584 - (297945913*s[60])/9504 + 
       (37005745*s[61])/21384 - s[65] - 4*s[66] + 6*s[67] + 3*s[68] + 
       9*s[69] - 2*s[70] + s[71] + 2*s[72] - 6*s[73] - (5*s[74])/2 + 
       (5*s[75])/2 - 3*s[76] - s[77] + 8*s[78] - 18*s[79] + (43*s[80])/6 - 
       130*s[82] + 3*s[83] - 18*s[84] - 32*s[85]) + 
     HPL[{0, 0, 1}, 1 - u]*Omega2[u, v, w]*((13*s[2])/2 - (89*s[3])/4 - 
       (1445*s[4])/8 - (304*s[5])/11 - (16265*s[6])/88 - 
       (2583385*s[7])/1584 + (161369*s[8])/792 + (46889*s[9])/36 + 
       (2875*s[10])/9 + (322009*s[11])/176 + (561293*s[12])/264 + 
       (2052869*s[13])/1584 - (16909*s[14])/176 + (297715*s[15])/144 + 
       (1045859*s[16])/396 + (2796835*s[17])/1584 + (4957*s[18])/18 + 
       (17671*s[19])/72 + (2321741*s[20])/792 + (4373635*s[21])/4752 - 
       (3947323*s[22])/4752 - (2133095*s[23])/792 - (4110635*s[24])/2376 + 
       (53814383*s[25])/21384 - (26084375*s[26])/21384 - s[30] + 4*s[31] - 
       (7*s[32])/2 + 2*s[33] - 9*s[34] - s[35] - (25*s[36])/3 - (8*s[37])/3 - 
       85*s[38] + 304*s[39] - (1049*s[40])/3 + (573*s[41])/2 - 
       (5161*s[42])/12 - (11182*s[43])/33 + (80885*s[44])/264 - 
       (60629*s[45])/132 + (140501*s[46])/44 - (45775*s[47])/792 - 
       (129199*s[48])/792 + (1123123*s[49])/792 - (162725*s[50])/66 - 
       (253445*s[51])/792 - (194849*s[52])/792 + (115537*s[53])/66 - 
       (1473*s[54])/11 + (3017671*s[55])/264 + (2384201*s[56])/792 - 
       (1295443*s[57])/1188 + (32340763*s[58])/7128 - (32904397*s[59])/7128 - 
       (127969855*s[60])/4752 + (95177947*s[61])/64152 - s[65] - 4*s[66] + 
       6*s[67] + 2*s[68] + 11*s[69] + s[71] + 2*s[72] - 8*s[73] - 
       (3*s[74])/2 + (3*s[75])/2 + s[76] - 3*s[77] + 10*s[78] - 36*s[79] + 
       (29*s[80])/3 - 130*s[82] + 3*s[83] - 18*s[84] - 32*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((-1559*s[2])/144 - (4475*s[3])/288 - (300563*s[4])/576 - 
       (1136587*s[5])/3168 - (5827121*s[6])/6336 - (939514855*s[7])/114048 + 
       (38395751*s[8])/57024 + (17995739*s[9])/2592 + (5515849*s[10])/2592 + 
       (38433641*s[11])/4224 + (190079717*s[12])/19008 + 
       (688032971*s[13])/114048 + (11920861*s[14])/12672 + 
       (112562197*s[15])/10368 + (197598919*s[16])/14256 + 
       (1201730689*s[17])/114048 + (3908887*s[18])/2592 + 
       (2096855*s[19])/1728 + (927770731*s[20])/57024 + 
       (2011152433*s[21])/342144 - (1481844013*s[22])/342144 - 
       (559809035*s[23])/57024 - (1536939989*s[24])/171072 + 
       (17899737551*s[25])/1539648 - (9762341651*s[26])/1539648 + 
       (101*s[30])/36 - (143*s[31])/36 + (67*s[32])/36 - (745*s[33])/288 + 
       (199*s[34])/36 + (245*s[35])/72 + (541*s[36])/27 - (393*s[37])/16 - 
       (11021*s[38])/36 + (345571*s[39])/288 - (1154849*s[40])/864 + 
       (101345*s[41])/96 - (744467*s[42])/432 - (10256023*s[43])/9504 + 
       (21461063*s[44])/19008 - (3735431*s[45])/3168 + 
       (22287391*s[46])/2376 - (21262741*s[47])/57024 - 
       (11844739*s[48])/57024 + (277813837*s[49])/57024 - 
       (34192859*s[50])/4752 - (67715393*s[51])/57024 - 
       (54460793*s[52])/57024 + (141647063*s[53])/28512 - 
       (394877*s[54])/2376 + (597804283*s[55])/19008 + 
       (474189619*s[56])/57024 - (728751839*s[57])/85536 + 
       (7502524199*s[58])/513216 - (7604931293*s[59])/513216 - 
       (26341478413*s[60])/342144 + (18667594655*s[61])/4618944 + s[65]/18 + 
       (2*s[66])/9 - (13*s[67])/9 - (10*s[68])/9 - (16*s[69])/9 - 
       (23*s[70])/18 + (53*s[71])/72 - (149*s[72])/36 + (127*s[73])/36 + 
       (739*s[74])/144 - (739*s[75])/144 + (37*s[76])/12 + (161*s[77])/72 - 
       (139*s[78])/36 - (593*s[79])/6 + (1547*s[80])/72 - (109*s[82])/2 - 
       s[83]/6 - (103*s[84])/2 - (91*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-1427*s[2])/144 - (1457*s[3])/96 - (66665*s[4])/192 - 
       (907735*s[5])/3168 - (4352701*s[6])/6336 - (723873991*s[7])/114048 + 
       (84303481*s[8])/171072 + (41731021*s[9])/7776 + 
       (13787693*s[10])/7776 + (790269109*s[11])/114048 + 
       (426785065*s[12])/57024 + (169888703*s[13])/38016 + 
       (108784279*s[14])/114048 + (9853937*s[15])/1152 + 
       (68358887*s[16])/6336 + (969616019*s[17])/114048 + 
       (26686733*s[18])/23328 + (46660853*s[19])/46656 + 
       (6571677851*s[20])/513216 + (4768022725*s[21])/1026432 - 
       (3420549353*s[22])/1026432 - (64289815*s[23])/9504 - 
       (1814140043*s[24])/256608 + (2526695495*s[25])/288684 - 
       (11200540987*s[26])/2309472 + (91*s[30])/36 - (137*s[31])/36 - 
       (29*s[32])/18 - (1295*s[33])/288 + (61*s[34])/18 - (59*s[35])/72 + 
       (328*s[36])/27 - (967*s[37])/54 - (14507*s[38])/72 + 
       (229511*s[39])/288 - (778493*s[40])/864 + (205021*s[41])/288 - 
       (494027*s[42])/432 - (7151779*s[43])/9504 + (14639171*s[44])/19008 - 
       (4488863*s[45])/4752 + (66281411*s[46])/9504 - 
       (13351585*s[47])/57024 - (10188799*s[48])/57024 + 
       (193086997*s[49])/57024 - (25756277*s[50])/4752 - 
       (46430261*s[51])/57024 - (35885093*s[52])/57024 + 
       (107885995*s[53])/28512 - (394205*s[54])/4752 + 
       (460564565*s[55])/19008 + (13308445*s[56])/2112 - 
       (66271693*s[57])/14256 + (1792101199*s[58])/171072 - 
       (1821024349*s[59])/171072 - (19825561951*s[60])/342144 + 
       (1590584135*s[61])/513216 - s[62]/12 - (7*s[65])/36 - (7*s[66])/9 + 
       (8*s[67])/9 + (5*s[68])/9 + (11*s[69])/9 + (8*s[70])/9 + 
       (31*s[71])/36 - (121*s[72])/36 + (7*s[73])/4 + (137*s[74])/48 - 
       (137*s[75])/48 + (257*s[76])/36 - (35*s[77])/72 - (145*s[78])/36 - 
       (647*s[79])/9 + (331*s[80])/54 - (245*s[82])/2 + (7*s[83])/12 - 
       35*s[84] - (91*s[85])/3) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*((-581*s[2])/144 + 
       (3535*s[3])/288 - (141629*s[4])/576 - (685939*s[5])/3168 - 
       (3052679*s[6])/6336 - (514752385*s[7])/114048 + 
       (20579909*s[8])/57024 + (9985649*s[9])/2592 + (3111931*s[10])/2592 + 
       (20790059*s[11])/4224 + (101888933*s[12])/19008 + 
       (363009437*s[13])/114048 + (8858923*s[14])/12672 + 
       (62178883*s[15])/10368 + (108122719*s[16])/14256 + 
       (670744387*s[17])/114048 + (2232613*s[18])/2592 + (348283*s[19])/576 + 
       (519092857*s[20])/57024 + (1133871655*s[21])/342144 - 
       (817301563*s[22])/342144 - (289902167*s[23])/57024 - 
       (835967717*s[24])/171072 + (9563554619*s[25])/1539648 - 
       (5325010775*s[26])/1539648 - (22*s[30])/9 - (71*s[31])/36 + 
       (133*s[32])/36 - (325*s[33])/288 + (5*s[34])/18 + (23*s[35])/72 + 
       (311*s[36])/54 - (2839*s[37])/144 - (5237*s[38])/36 + 
       (173281*s[39])/288 - (586331*s[40])/864 + (16977*s[41])/32 - 
       (187717*s[42])/216 - (4976989*s[43])/9504 + (10698947*s[44])/19008 - 
       (2060825*s[45])/3168 + (5926817*s[46])/1188 - (12301213*s[47])/57024 - 
       (4660855*s[48])/57024 + (135929005*s[49])/57024 - 
       (18208889*s[50])/4752 - (35365301*s[51])/57024 - 
       (28076297*s[52])/57024 + (75777785*s[53])/28512 - 
       (231991*s[54])/1188 + (323143735*s[55])/19008 + 
       (263723995*s[56])/57024 - (356492825*s[57])/85536 + 
       (3956642867*s[58])/513216 - (3962837081*s[59])/513216 - 
       (13994350321*s[60])/342144 + (10312937183*s[61])/4618944 - 
       (5*s[65])/18 - (10*s[66])/9 + (14*s[67])/9 + (7*s[68])/18 + 
       (29*s[69])/9 + (25*s[70])/18 - (13*s[71])/72 - (47*s[72])/36 - 
       (131*s[73])/36 + (337*s[74])/144 - (337*s[75])/144 + (31*s[76])/12 - 
       (157*s[77])/72 + (71*s[78])/36 - (451*s[79])/6 + (2033*s[80])/72 - 
       (265*s[82])/2 + (5*s[83])/6 - (61*s[84])/2 - (91*s[85])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((-35*s[2])/144 - (985*s[3])/96 - (17019*s[4])/64 - 
       (467749*s[5])/3168 - (2751385*s[6])/6336 - (449666047*s[7])/114048 + 
       (58288573*s[8])/171072 + (25674451*s[9])/7776 + (7841855*s[10])/7776 + 
       (497315101*s[11])/114048 + (275773297*s[12])/57024 + 
       (111010487*s[13])/38016 + (44440639*s[14])/114048 + 
       (5916145*s[15])/1152 + (13916869*s[16])/2112 + 
       (560416595*s[17])/114048 + (16718363*s[18])/23328 + 
       (27067613*s[19])/46656 + (3971039411*s[20])/513216 + 
       (2820079093*s[21])/1026432 - (2124149873*s[22])/1026432 - 
       (45597589*s[23])/9504 - (1098368633*s[24])/256608 + 
       (12976023427*s[25])/2309472 - (3497246369*s[26])/1154736 - 
       (17*s[30])/36 + (7*s[31])/36 + (2*s[32])/9 - (107*s[33])/288 - 
       (13*s[34])/9 + (109*s[35])/72 + (679*s[36])/108 - (601*s[37])/54 - 
       (10769*s[38])/72 + (163937*s[39])/288 - (556547*s[40])/864 + 
       (145147*s[41])/288 - (174565*s[42])/216 - (5034373*s[43])/9504 + 
       (10325285*s[44])/19008 - (3114227*s[45])/4752 + 
       (46437833*s[46])/9504 - (9346519*s[47])/57024 - 
       (8253625*s[48])/57024 + (135314527*s[49])/57024 - 
       (17819189*s[50])/4752 - (32272319*s[51])/57024 - 
       (26651843*s[52])/57024 + (73718989*s[53])/28512 - 
       (478535*s[54])/4752 + (316993139*s[55])/19008 + 
       (85077391*s[56])/19008 - (54188537*s[57])/14256 + 
       (428776103*s[58])/57024 - (143605919*s[59])/19008 - 
       (13835288965*s[60])/342144 + (3364552607*s[61])/1539648 - 
       (13*s[65])/36 - (13*s[66])/9 + (17*s[67])/9 + s[68]/18 + 
       (38*s[69])/9 - (5*s[70])/18 + (31*s[71])/36 - (49*s[72])/36 - 
       (11*s[73])/12 + (89*s[74])/48 - (89*s[75])/48 + (113*s[76])/36 - 
       (71*s[77])/72 + (35*s[78])/36 - (533*s[79])/9 + (302*s[80])/27 - 
       (209*s[82])/2 + (13*s[83])/12 - 29*s[84] - (91*s[85])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((5*s[2])/2 + (95*s[3])/8 + (3523*s[4])/16 - (55207*s[5])/528 - 
       (9611*s[6])/528 + (784111*s[7])/1056 - (95503*s[8])/528 - 
       (6967*s[9])/12 + (2261*s[10])/16 - (527005*s[11])/528 - 
       (1613779*s[12])/1056 - (1142719*s[13])/1056 + (988783*s[14])/1056 - 
       (102829*s[15])/288 - (364417*s[16])/528 + (94451*s[17])/176 - 
       (109*s[18])/3 - (272*s[19])/3 - (254393*s[20])/528 + 
       (92201*s[21])/352 + (1296487*s[22])/3168 + (3008605*s[23])/1056 + 
       (541313*s[24])/1056 - (25689635*s[25])/14256 + (6282575*s[26])/14256 + 
       s[30] + 3*s[31] - s[32]/4 + 13*s[33] - (15*s[34])/2 + (9*s[35])/2 + 
       (7*s[36])/3 + (5*s[37])/3 + 103*s[38] - (6875*s[39])/24 + 
       (2601*s[40])/8 - (1511*s[41])/6 + (9511*s[42])/24 + (16459*s[43])/88 - 
       (75337*s[44])/528 + (1477*s[45])/22 - (248287*s[46])/264 + 
       (108521*s[47])/528 - (113305*s[48])/528 - (84299*s[49])/176 + 
       (22465*s[50])/44 + (552415*s[51])/1584 + (66223*s[52])/176 - 
       (61163*s[53])/264 + (71341*s[54])/132 - (2162213*s[55])/1584 - 
       (125733*s[56])/176 + (1248239*s[57])/264 - (4156847*s[58])/1584 + 
       (3532781*s[59])/1584 + (18163379*s[60])/3168 - (3257021*s[61])/14256 + 
       s[65] + 4*s[66] - 6*s[67] - 12*s[69] - 6*s[70] - (7*s[71])/2 - 
       6*s[72] + 6*s[73] + 3*s[74] - (5*s[75])/2 - 9*s[76] + (17*s[77])/2 - 
       6*s[78] + 64*s[79] + (13*s[80])/6 - 390*s[82] - 9*s[83] + 18*s[84] - 
       30*s[85]) + HPL[{1}, 1 - w]^2*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      (s[2]/2 - (19*s[3])/8 + (7847*s[4])/48 - (48259*s[5])/528 - 
       (12871*s[6])/176 + (1500923*s[7])/3168 - (360593*s[8])/4752 - 
       (90569*s[9])/216 + (36355*s[10])/432 - (471737*s[11])/792 - 
       (2761225*s[12])/3168 - (245067*s[13])/352 + (2256583*s[14])/3168 - 
       (130567*s[15])/288 - (78537*s[16])/176 + (213713*s[17])/792 + 
       (40063*s[18])/324 - (17764*s[19])/81 - (3214627*s[20])/14256 + 
       (8239279*s[21])/28512 + (7910077*s[22])/28512 + (1437353*s[23])/1056 + 
       (15641479*s[24])/28512 - (154673527*s[25])/128304 + 
       (30350335*s[26])/128304 + 8*s[29] - (3*s[30])/2 + 6*s[31] - s[32]/2 + 
       (83*s[33])/8 - 10*s[34] - 3*s[35] + (39*s[36])/2 + (7*s[37])/2 + 
       (163*s[38])/3 - (317*s[39])/8 + (353*s[40])/8 - (721*s[41])/12 + 
       (373*s[42])/24 + (12709*s[43])/264 + (43787*s[44])/528 - 
       (639*s[45])/44 + (81335*s[46])/264 + (87007*s[47])/1584 - 
       (216659*s[48])/1584 + (361535*s[49])/1584 - (7461*s[50])/22 + 
       (28871*s[51])/528 + (249635*s[52])/1584 + (236969*s[53])/792 + 
       (13141*s[54])/44 + (269491*s[55])/176 + (187975*s[56])/528 + 
       (1247965*s[57])/792 - (294125*s[58])/1584 + (5587*s[59])/176 - 
       (27612713*s[60])/9504 + (12149455*s[61])/42768 + s[64] + (9*s[65])/2 + 
       8*s[66] - 12*s[67] - 6*s[68] - 22*s[69] - (11*s[70])/2 - 7*s[71] - 
       12*s[72] + 12*s[73] + 7*s[74] - (9*s[75])/2 - 5*s[76] + 11*s[77] - 
       14*s[78] + 44*s[79] + 24*s[80] - 390*s[82] - 9*s[83] + 18*s[84] - 
       30*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - v]*((-23*s[2])/8 - (161*s[3])/12 - (8461*s[4])/24 - 
       (125167*s[5])/528 - (1907261*s[6])/3168 - (315589591*s[7])/57024 + 
       (9979165*s[8])/21384 + (9041747*s[9])/1944 + (11312845*s[10])/7776 + 
       (172204181*s[11])/28512 + (375721601*s[12])/57024 + 
       (24824929*s[13])/6336 + (37200115*s[14])/57024 + (1424255*s[15])/192 + 
       (88838951*s[16])/9504 + (103106837*s[17])/14256 + 
       (12418763*s[18])/11664 + (18032231*s[19])/23328 + 
       (2815362107*s[20])/256608 + (2063077351*s[21])/513216 - 
       (1488721799*s[22])/513216 - (43124287*s[23])/6336 - 
       (3046516115*s[24])/513216 + (35507996383*s[25])/4618944 - 
       (19697849689*s[26])/4618944 - (11*s[30])/36 - (16*s[31])/9 + 
       (53*s[32])/24 + (25*s[33])/8 + (79*s[34])/36 - (13*s[35])/36 + 
       (3077*s[36])/216 - (3071*s[37])/216 - (12151*s[38])/72 + 
       (217889*s[39])/288 - (729623*s[40])/864 + (66577*s[41])/96 - 
       (955891*s[42])/864 - (6360613*s[43])/9504 + (416773*s[44])/594 - 
       (3822589*s[45])/4752 + (2220023*s[46])/352 - (888721*s[47])/3564 - 
       (2011697*s[48])/28512 + (21706211*s[49])/7128 - 
       (11565535*s[50])/2376 - (20475853*s[51])/28512 - 
       (17255995*s[52])/28512 + (32590813*s[53])/9504 - (128059*s[54])/792 + 
       (206792191*s[55])/9504 + (5174798*s[56])/891 - 
       (452415949*s[57])/85536 + (2504814857*s[58])/256608 - 
       (2550554333*s[59])/256608 - (137347907*s[60])/2673 + 
       (6532250675*s[61])/2309472 - s[68]/18 + s[69]/18 + s[70]/6 + 
       (5*s[71])/24 - (13*s[72])/6 + (3*s[73])/2 + (209*s[74])/72 - 
       (209*s[75])/72 - s[76]/2 + (11*s[77])/36 - (20*s[78])/9 - 
       (1381*s[79])/18 + (2467*s[80])/108 - (1519*s[82])/12 - 35*s[84] - 
       (86*s[85])/3) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*((-97*s[2])/24 - (211*s[3])/12 - (40439*s[4])/144 - 
       (1963*s[5])/8 - (54737*s[6])/96 - (26430617*s[7])/5184 + 
       (1597273*s[8])/3888 + (16776727*s[9])/3888 + (10797727*s[10])/7776 + 
       (3595669*s[11])/648 + (31139059*s[12])/5184 + (6131867*s[13])/1728 + 
       (4281875*s[14])/5184 + (11823883*s[15])/1728 + (1865675*s[16])/216 + 
       (17580143*s[17])/2592 + (11932343*s[18])/11664 + 
       (15738305*s[19])/23328 + (241584247*s[20])/23328 + 
       (178816835*s[21])/46656 - (124727911*s[22])/46656 - 
       (10007833*s[23])/1728 - (256618867*s[24])/46656 + 
       (2925222359*s[25])/419904 - (1657307669*s[26])/419904 - (7*s[30])/18 - 
       (23*s[31])/18 + (3*s[32])/8 + s[33]/48 + (17*s[34])/18 + 
       (65*s[35])/36 + (2705*s[36])/216 - (577*s[37])/72 - (10207*s[38])/72 + 
       (185117*s[39])/288 - (619307*s[40])/864 + (168227*s[41])/288 - 
       (804019*s[42])/864 - (5485057*s[43])/9504 + (1453615*s[44])/2376 - 
       (3407185*s[45])/4752 + (17433091*s[46])/3168 - (737449*s[47])/3564 - 
       (2580947*s[48])/28512 + (37144237*s[49])/14256 - (2505259*s[50])/594 - 
       (18077611*s[51])/28512 - (14658235*s[52])/28512 + 
       (28134779*s[53])/9504 - (17029*s[54])/99 + (19888423*s[55])/1056 + 
       (72135425*s[56])/14256 - (373909279*s[57])/85536 + 
       (2169671609*s[58])/256608 - (2180227277*s[59])/256608 - 
       (1915472645*s[60])/42768 + (5774544539*s[61])/2309472 - s[68]/18 + 
       s[69]/18 - (3*s[71])/8 - (11*s[72])/6 - (5*s[73])/2 + (203*s[74])/72 - 
       (203*s[75])/72 + (5*s[76])/3 + (11*s[77])/36 - (37*s[78])/18 - 
       (889*s[79])/18 + (1603*s[80])/108 - (1669*s[82])/12 - 31*s[84] - 
       (86*s[85])/3) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^3*
      ((-57*s[2])/4 - (101*s[3])/24 - (8161*s[4])/16 - (56371*s[5])/132 - 
       (529043*s[6])/528 - (28313531*s[7])/3168 + (10093549*s[8])/14256 + 
       (2461235*s[9])/324 + (377813*s[10])/162 + (93100243*s[11])/9504 + 
       (50751079*s[12])/4752 + (60736651*s[13])/9504 + 
       (12008977*s[14])/9504 + (10254083*s[15])/864 + (71427467*s[16])/4752 + 
       (110302537*s[17])/9504 + (425674*s[18])/243 + (4504397*s[19])/3888 + 
       (766306163*s[20])/42768 + (568298107*s[21])/85536 - 
       (403142375*s[22])/85536 - (3128590*s[23])/297 - 
       (102111349*s[24])/10692 + (4755015413*s[25])/384912 - 
       (2670258599*s[26])/384912 - (8*s[30])/3 - (19*s[31])/3 + (3*s[32])/2 - 
       (101*s[33])/24 + (21*s[34])/2 + (43*s[35])/6 + (505*s[36])/18 - 
       (225*s[37])/8 - (3853*s[38])/12 + (31225*s[39])/24 - 
       (103939*s[40])/72 + 1133*s[41] - (67969*s[42])/36 - (80431*s[43])/72 + 
       (171353*s[44])/144 - (19727*s[45])/16 + (1429511*s[46])/144 - 
       (195439*s[47])/432 - (42937*s[48])/432 + (2187709*s[49])/432 - 
       (273287*s[50])/36 - (560519*s[51])/432 - (452831*s[52])/432 + 
       (2276017*s[53])/432 - (18905*s[54])/72 + (532241*s[55])/16 + 
       (3839581*s[56])/432 - (3165709*s[57])/324 + (15265823*s[58])/972 - 
       (61786847*s[59])/3888 - (6525638*s[60])/81 + (300581491*s[61])/69984 + 
       s[65]/3 + (4*s[66])/3 - (4*s[67])/3 - (4*s[68])/3 - (4*s[69])/3 + 
       (2*s[70])/3 + (2*s[71])/3 - (19*s[72])/3 + (5*s[73])/3 + 7*s[74] - 
       7*s[75] + (59*s[76])/6 + (7*s[77])/6 - (65*s[78])/6 - 111*s[79] + 
       (215*s[80])/12 - 48*s[82] - s[83] - 52*s[84] - 28*s[85]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-43*s[2])/2 + (109*s[3])/4 - (3267*s[4])/8 - (7657*s[5])/11 - 
       (102059*s[6])/88 - (6012235*s[7])/528 + (1791557*s[8])/2376 + 
       (530929*s[9])/54 + (89815*s[10])/27 + (19636037*s[11])/1584 + 
       (10478669*s[12])/792 + (12303617*s[13])/1584 + (3715007*s[14])/1584 + 
       (2237575*s[15])/144 + (7726529*s[16])/396 + (25022303*s[17])/1584 + 
       (713113*s[18])/324 + (1130527*s[19])/648 + (169275955*s[20])/7128 + 
       (126999569*s[21])/14256 - (86014237*s[22])/14256 - 
       (8442113*s[23])/792 - (90910679*s[24])/7128 + (488190743*s[25])/
        32076 - (140748871*s[26])/16038 - 10*s[31] + 4*s[32] + (7*s[33])/4 + 
       19*s[34] + (11*s[35])/2 + (98*s[36])/3 - (227*s[37])/6 - 385*s[38] + 
       (5829*s[39])/4 - (18851*s[40])/12 + (4675*s[41])/4 - 
       (24673*s[42])/12 - (162925*s[43])/132 + (88463*s[44])/66 - 
       (44917*s[45])/33 + (1422299*s[46])/132 - (100993*s[47])/198 - 
       (62627*s[48])/396 + (579032*s[49])/99 - (273319*s[50])/33 - 
       (533857*s[51])/396 - (429787*s[52])/396 + (1136423*s[53])/198 + 
       (2855*s[54])/33 + (4760951*s[55])/132 + (599875*s[56])/66 - 
       (3924661*s[57])/396 + (3324067*s[58])/198 - (6800311*s[59])/396 - 
       (104849845*s[60])/1188 + (97999331*s[61])/21384 + 3*s[65] + 6*s[66] - 
       10*s[67] + 18*s[68] - 24*s[69] + 6*s[70] - 3*s[71] - 10*s[72] - 
       18*s[73] + (15*s[74])/2 - (15*s[75])/2 - 3*s[76] - 7*s[77] - 
       22*s[78] - 24*s[79] + (55*s[80])/3 - 230*s[82] - 6*s[84] - 28*s[85]) + 
     HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-71*s[2])/4 + (449*s[3])/8 - (2337*s[4])/16 - (41329*s[5])/88 - 
       (119345*s[6])/176 - (21195457*s[7])/3168 + (1253119*s[8])/4752 + 
       (645773*s[9])/108 + (236515*s[10])/108 + (22485679*s[11])/3168 + 
       (5651567*s[12])/792 + (4473307*s[13])/1056 + (6352615*s[14])/3168 + 
       (940405*s[15])/96 + (3074285*s[16])/264 + (32262449*s[17])/3168 + 
       (380491*s[18])/324 + (1405559*s[19])/1296 + (207236987*s[20])/14256 + 
       (164479669*s[21])/28512 - (103735253*s[22])/28512 - 
       (650869*s[23])/132 - (55504367*s[24])/7128 + (1071473663*s[25])/
        128304 - (666563159*s[26])/128304 - 6*s[29] - (3*s[30])/2 - 
       16*s[31] + 2*s[32] - (13*s[33])/4 + (47*s[34])/2 - (11*s[35])/2 + 
       (119*s[36])/6 - (523*s[37])/12 - (365*s[38])/2 + (2697*s[39])/4 - 
       (9313*s[40])/12 + (1197*s[41])/2 - (11567*s[42])/12 - 
       (87677*s[43])/132 + (368723*s[44])/528 - (176309*s[45])/264 + 
       (476847*s[46])/88 - (169285*s[47])/1584 - (366361*s[48])/1584 + 
       (4819327*s[49])/1584 - (290473*s[50])/66 - (969377*s[51])/1584 - 
       (698927*s[52])/1584 + (399977*s[53])/132 + (5441*s[54])/22 + 
       (10197419*s[55])/528 + (7174121*s[56])/1584 - (8677051*s[57])/2376 + 
       (113950645*s[58])/14256 - (122402167*s[59])/14256 - 
       (443367631*s[60])/9504 + (271283347*s[61])/128304 - 6*s[63] - 
       4*s[64] + 6*s[66] - s[67] + 20*s[68] - 8*s[69] + 8*s[70] - s[72] + 
       s[73] + (3*s[74])/4 - (3*s[75])/4 - (51*s[77])/2 - s[78] - 140*s[79] + 
       (251*s[80])/6 - 230*s[82] - 6*s[84] - 28*s[85]) + 
     HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-39*s[2])/4 - (929*s[3])/8 + (737*s[4])/16 - (9039*s[5])/88 - 
       (19791*s[6])/176 - (778051*s[7])/3168 - (274829*s[8])/1584 + 
       (3667*s[9])/18 + (12361*s[10])/36 + (167807*s[11])/1056 - 
       (67957*s[12])/264 - (464725*s[13])/3168 + (686975*s[14])/1056 + 
       (336709*s[15])/288 + (685745*s[16])/792 + (5088739*s[17])/3168 - 
       (2429*s[18])/54 + (159583*s[19])/432 + (5637439*s[20])/4752 + 
       (223951*s[21])/352 - (535565*s[22])/9504 + (610369*s[23])/396 - 
       (2160551*s[24])/2376 - (369581*s[25])/14256 - (4032175*s[26])/14256 - 
       10*s[29] + (9*s[30])/2 - 8*s[31] + 4*s[32] - 9*s[33] + s[34]/2 - 
       (23*s[35])/2 - (91*s[36])/6 + (307*s[37])/12 + (71*s[38])/2 - 
       279*s[39] + (1837*s[40])/6 - (835*s[41])/4 + (1417*s[42])/3 + 
       (652*s[43])/33 - (74197*s[44])/528 - (35005*s[45])/264 - 
       (70801*s[46])/264 + (486743*s[47])/1584 - (638953*s[48])/1584 - 
       (265277*s[49])/1584 + (6095*s[50])/66 + (549631*s[51])/1584 + 
       (531229*s[52])/1584 + (38147*s[53])/396 + (10663*s[54])/33 + 
       (700483*s[55])/528 - (129329*s[56])/528 + (4789721*s[57])/792 - 
       (332751*s[58])/176 + (2341505*s[59])/1584 - (12271939*s[60])/9504 + 
       (128111*s[61])/42768 - 6*s[63] - 4*s[64] - 3*s[65] + 9*s[67] + 
       6*s[68] + 10*s[69] + 2*s[70] + 3*s[71] + 9*s[72] - 9*s[73] - 
       (27*s[74])/4 + (27*s[75])/4 - 5*s[76] - (13*s[77])/2 - 35*s[78] + 
       76*s[79] - (227*s[80])/6 - 218*s[82] - 6*s[84] - 28*s[85]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((31*s[2])/2 - (777*s[3])/4 - (6213*s[4])/8 - (5681*s[5])/22 - 
       (89669*s[6])/88 - (13563557*s[7])/1584 + (2211787*s[8])/2376 + 
       (736621*s[9])/108 + (105517*s[10])/54 + (15354781*s[11])/1584 + 
       (8755375*s[12])/792 + (10690637*s[13])/1584 - (210977*s[14])/1584 + 
       (1584175*s[15])/144 + (2852959*s[16])/198 + (5449105*s[17])/528 + 
       (118439*s[18])/81 + (996419*s[19])/648 + (111924719*s[20])/7128 + 
       (76040425*s[21])/14256 - (61950677*s[22])/14256 - 
       (9925889*s[23])/792 - (65880787*s[24])/7128 + (831613301*s[25])/
        64152 - (419522687*s[26])/64152 + 8*s[28] + 10*s[29] - 5*s[30] + 
       10*s[31] - 7*s[32] + (3*s[33])/2 - 4*s[34] + 9*s[35] + (127*s[36])/3 - 
       39*s[37] - 417*s[38] + 1542*s[39] - (4924*s[40])/3 + (2489*s[41])/2 - 
       (12991*s[42])/6 - (43919*s[43])/33 + (374017*s[44])/264 - 
       (63511*s[45])/44 + (1517597*s[46])/132 - (419519*s[47])/792 - 
       (163439*s[48])/792 + (4958297*s[49])/792 - (289556*s[50])/33 - 
       (1123819*s[51])/792 - (915757*s[52])/792 + (601927*s[53])/99 + 
       (2132*s[54])/33 + (3368703*s[55])/88 + (7686587*s[56])/792 - 
       (12446485*s[57])/1188 + (127617403*s[58])/7128 - 
       (130379089*s[59])/7128 - (447161105*s[60])/4752 + 
       (314044213*s[61])/64152 + 4*s[63] + 3*s[65] + 6*s[66] - 10*s[67] + 
       20*s[68] - 24*s[69] + 6*s[70] - 3*s[71] - 10*s[72] - 18*s[73] + 
       (15*s[74])/2 - (15*s[75])/2 - 3*s[76] - 5*s[77] - 22*s[78] - 4*s[79] + 
       10*s[80] - 218*s[82] - 6*s[84] - 28*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1, 1, 1}, 1 - v]*((-15*s[2])/8 + 
       (369*s[3])/16 + (363*s[4])/32 + (1587*s[5])/176 - (12861*s[6])/352 - 
       (325013*s[7])/2112 - (14591*s[8])/3168 + (22225*s[9])/144 + 
       (9995*s[10])/144 + (486301*s[11])/2112 + (157829*s[12])/528 + 
       (451067*s[13])/2112 + (59425*s[14])/2112 - (4757*s[15])/192 + 
       (218995*s[16])/1056 + (101*s[17])/704 + (2693*s[18])/108 + 
       (11615*s[19])/864 + (2587007*s[20])/9504 + (658591*s[21])/19008 - 
       (2048615*s[22])/19008 + (133501*s[23])/1056 - (2099179*s[24])/9504 + 
       (25710401*s[25])/85536 - (8431391*s[26])/85536 - (3*s[31])/2 + 
       (9*s[32])/4 - (9*s[33])/4 + 3*s[34] - (9*s[35])/4 + (35*s[36])/12 + 
       (75*s[37])/8 + (33*s[38])/4 + (21*s[39])/4 - (41*s[40])/2 + 33*s[41] - 
       (49*s[42])/8 - (14*s[43])/11 + (7559*s[44])/176 - (4911*s[45])/176 + 
       (36629*s[46])/176 + (6169*s[47])/264 - (27029*s[48])/264 + 
       (5441*s[49])/66 - (7625*s[50])/44 - (2917*s[51])/66 - 
       (10511*s[52])/528 + (367*s[53])/528 + (2987*s[54])/44 + 
       (10513*s[55])/176 + (4894*s[56])/33 - (588209*s[57])/792 + 
       (520499*s[58])/1188 - (732653*s[59])/4752 - (5358817*s[60])/3168 + 
       (12179995*s[61])/85536 + 3*s[68] - 3*s[69] + (3*s[70])/2 + 
       (3*s[74])/8 - (3*s[75])/8 + (3*s[76])/2 + (9*s[77])/4 - (3*s[78])/2 - 
       3*s[79] - (3*s[80])/4 - 135*s[82] - 27*s[85]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1, 1, 1}, 1 - w]*((33*s[2])/4 - 
       (507*s[3])/16 - (1659*s[4])/32 - (1071*s[5])/16 - (5191*s[6])/32 - 
       (69667*s[7])/64 + (20851*s[8])/288 + (31619*s[9])/36 + 
       (55459*s[10])/144 + (219811*s[11])/192 + (111523*s[12])/96 + 
       (118051*s[13])/192 + (78061*s[14])/192 + (314645*s[15])/192 + 
       (192587*s[16])/96 + (346501*s[17])/192 + (114787*s[18])/432 + 
       (143275*s[19])/864 + (2143241*s[20])/864 + (1728751*s[21])/1728 - 
       (929843*s[22])/1728 - (11003*s[23])/12 - (555809*s[24])/432 + 
       (323488*s[25])/243 - (3469309*s[26])/3888 - (3*s[30])/4 + 6*s[31] - 
       3*s[32] + 9*s[33] - (45*s[34])/4 + 6*s[35] - (9*s[36])/4 + 
       (35*s[37])/4 - (31*s[38])/2 + (797*s[39])/16 - (893*s[40])/16 + 
       (1001*s[41])/16 - (981*s[42])/16 - (1905*s[43])/16 + (2949*s[44])/32 - 
       (755*s[45])/4 + (18511*s[46])/16 + (4079*s[47])/96 - 
       (17095*s[48])/96 + (48403*s[49])/96 - 909*s[50] - (1241*s[51])/32 - 
       (1067*s[52])/96 + (32447*s[53])/48 + (143*s[54])/2 + 
       (425837*s[55])/96 + (112309*s[56])/96 + (46463*s[57])/72 + 
       (1171829*s[58])/864 - (1242011*s[59])/864 - (5909497*s[60])/576 + 
       (4904579*s[61])/7776 - (3*s[68])/4 + (3*s[69])/4 - 6*s[70] - 
       (9*s[74])/8 + (9*s[75])/8 - (9*s[76])/2 + (9*s[77])/4 + (9*s[78])/2 + 
       15*s[79] - s[80]/2 - 123*s[82] - 27*s[85]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1, 1, 1}, 1 - u]*((15*s[2])/2 - (135*s[3])/4 - 
       (159*s[4])/4 - (5415*s[5])/88 - (25507*s[6])/176 - (131291*s[7])/132 + 
       (88313*s[8])/1584 + (57401*s[9])/72 + (56531*s[10])/144 + 
       (1074335*s[11])/1056 + (1024921*s[12])/1056 + (135451*s[13])/264 + 
       (117119*s[14])/264 + (19361*s[15])/12 + (997187*s[16])/528 + 
       (647799*s[17])/352 + (41821*s[18])/216 + (12131*s[19])/54 + 
       (11018893*s[20])/4752 + (4437043*s[21])/4752 - (1144075*s[22])/2376 - 
       (518825*s[23])/1056 - (12224587*s[24])/9504 + (99057185*s[25])/85536 - 
       (68745653*s[26])/85536 + 6*s[31] - (27*s[32])/8 + 9*s[33] - 12*s[34] + 
       3*s[35] - 4*s[36] + 4*s[37] - 8*s[38] + (11*s[39])/4 - (37*s[40])/4 + 
       (229*s[41])/8 + (55*s[42])/8 - (4717*s[43])/44 + (10699*s[44])/176 - 
       (8451*s[45])/44 + (46085*s[46])/44 + (860*s[47])/11 - 
       (17221*s[48])/88 + (18709*s[49])/44 - (18863*s[50])/22 + 
       (3415*s[51])/264 + (6087*s[52])/176 + (44945*s[53])/66 + 
       (8281*s[54])/88 + (1206115*s[55])/264 + (287479*s[56])/264 + 
       (339947*s[57])/198 + (1102495*s[58])/1188 - (2658779*s[59])/2376 - 
       (5208019*s[60])/528 + (24714247*s[61])/42768 - (3*s[68])/4 + 
       (3*s[69])/4 - 6*s[70] - (3*s[74])/2 + (3*s[75])/2 - 6*s[76] + 
       (9*s[77])/4 + 6*s[78] + 12*s[79] + 3*s[80] - 123*s[82] - 27*s[85]) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1, 1, 1}, 1 - u]*(-3*s[2] + (33*s[3])/4 + 
       (115*s[4])/2 - (2099*s[5])/88 - (2447*s[6])/176 - (37241*s[7])/528 - 
       (73993*s[8])/1584 + (3307*s[9])/36 + (21881*s[10])/144 + 
       (31025*s[11])/1056 - (91499*s[12])/1056 - (50497*s[13])/528 + 
       (176089*s[14])/528 + (12059*s[15])/48 + (137963*s[16])/528 + 
       (166501*s[17])/352 + (713*s[18])/27 + (5693*s[19])/216 + 
       (2282485*s[20])/4752 + (155963*s[21])/594 - (235421*s[22])/4752 + 
       (631315*s[23])/1056 - (2099551*s[24])/9504 - (12250063*s[25])/85536 - 
       (4894037*s[26])/85536 + 3*s[30] - (3*s[32])/8 - 3*s[34] - 12*s[35] - 
       7*s[36] + (43*s[37])/4 + (89*s[38])/4 - (159*s[39])/2 + 64*s[40] - 
       (163*s[41])/4 + (433*s[42])/4 + (7*s[43])/11 - (3301*s[44])/176 - 
       (1043*s[45])/44 - (89*s[46])/11 + (3197*s[47])/33 - 
       (47255*s[48])/264 - (626*s[49])/33 - (734*s[50])/11 + 
       (26107*s[51])/264 + (50053*s[52])/528 + (6979*s[53])/132 + 
       (11379*s[54])/88 + (61531*s[55])/132 + (7349*s[56])/66 + 
       (490739*s[57])/396 - (434605*s[58])/1188 + (84889*s[59])/297 - 
       (188245*s[60])/198 + (3019997*s[61])/42768 + (9*s[68])/4 - 
       (9*s[69])/4 - (3*s[74])/2 + (3*s[75])/2 - 6*s[76] + (9*s[77])/4 + 
       6*s[78] - 12*s[79] + 14*s[80] - 123*s[82] - 27*s[85]) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1, 1, 1}, 1 - v]*((-39*s[2])/8 + 
       (285*s[3])/16 + (3831*s[4])/32 - (6465*s[5])/176 + (17763*s[6])/352 + 
       (400019*s[7])/2112 - (103013*s[8])/1056 - (3443*s[9])/48 + 
       (7211*s[10])/48 - (214921*s[11])/704 - (11489*s[12])/22 - 
       (776137*s[13])/2112 + (337151*s[14])/704 - (14621*s[15])/192 - 
       (184463*s[16])/1056 + (639799*s[17])/2112 - (191*s[18])/9 - 
       (1247*s[19])/288 + (407449*s[20])/3168 + (253435*s[21])/2112 + 
       (462199*s[22])/6336 + (1531381*s[23])/1056 + (186155*s[24])/3168 - 
       (672655*s[25])/1056 + (207149*s[26])/1056 + 3*s[30] - (3*s[31])/2 + 
       (3*s[32])/4 - (9*s[33])/4 - (51*s[35])/4 - 6*s[36] + (77*s[37])/8 + 
       (129*s[38])/4 - (567*s[39])/4 + (249*s[40])/2 - (453*s[41])/4 + 
       (1611*s[42])/8 + (1215*s[43])/22 - (2997*s[44])/44 - (731*s[45])/176 - 
       (64879*s[46])/176 + (20103*s[47])/176 - (31443*s[48])/176 - 
       (41301*s[49])/176 + (1611*s[50])/11 + (18955*s[51])/176 + 
       (6231*s[52])/44 - (59231*s[53])/528 + (3721*s[54])/22 - 
       (23967*s[55])/44 - (165049*s[56])/528 + (1791245*s[57])/792 - 
       (5371307*s[58])/4752 + (636067*s[59])/594 + (799201*s[60])/528 - 
       (7596751*s[61])/85536 + 3*s[68] - 3*s[69] + (3*s[70])/2 - 
       (9*s[74])/8 + (9*s[75])/8 - (9*s[76])/2 + (9*s[77])/4 + (9*s[78])/2 - 
       15*s[79] + (53*s[80])/4 - 99*s[82] - 27*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1, 1, 1}, 1 - w]*((3*s[2])/4 - (135*s[3])/16 - 
       (447*s[4])/32 - (21145*s[5])/176 - (54789*s[6])/352 - 
       (3725935*s[7])/2112 + (34477*s[8])/352 + 1544*s[9] + 
       (10787*s[10])/16 + (1256775*s[11])/704 + (604057*s[12])/352 + 
       (1969769*s[13])/2112 + (434917*s[14])/704 + (530537*s[15])/192 + 
       (3340891*s[16])/1056 + (6312091*s[17])/2112 + (48287*s[18])/144 + 
       (97457*s[19])/288 + (12607421*s[20])/3168 + (9991271*s[21])/6336 - 
       (646299*s[22])/704 - (30652*s[23])/33 - (1082437*s[24])/528 + 
       (14756179*s[25])/7128 - (19420289*s[26])/14256 - (3*s[30])/4 + 
       (3*s[32])/2 + (3*s[34])/4 + 3*s[35] + (7*s[36])/4 - (15*s[37])/4 - 
       (117*s[38])/4 + (1901*s[39])/16 - (2109*s[40])/16 + (1379*s[41])/16 - 
       (2731*s[42])/16 - (35867*s[43])/176 + (57097*s[44])/352 - 
       (13493*s[45])/44 + (323533*s[46])/176 + (12297*s[47])/352 - 
       (65913*s[48])/352 + (321313*s[49])/352 - (68099*s[50])/44 - 
       (89959*s[51])/1056 - (4913*s[52])/352 + (629647*s[53])/528 + 
       (2622*s[54])/11 + (8078605*s[55])/1056 + (1634929*s[56])/1056 + 
       (1206035*s[57])/792 + (18567233*s[58])/9504 - (22889123*s[59])/9504 - 
       (11724825*s[60])/704 + (71969015*s[61])/85536 + (9*s[68])/4 - 
       (9*s[69])/4 + (3*s[74])/8 - (3*s[75])/8 + (3*s[76])/2 + (9*s[77])/4 - 
       (3*s[78])/2 + 3*s[79] - (7*s[80])/2 - 87*s[82] - 27*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      ((-231*s[2])/32 - (127*s[3])/192 - (21897*s[4])/128 - (18299*s[5])/96 - 
       (51745*s[6])/128 - (8333531*s[7])/2304 + (886817*s[8])/3456 + 
       (5330809*s[9])/1728 + (888871*s[10])/864 + (9066437*s[11])/2304 + 
       (606433*s[12])/144 + (1911149*s[13])/768 + (1605953*s[14])/2304 + 
       (11333687*s[15])/2304 + (1188337*s[16])/192 + (11461843*s[17])/2304 + 
       (891575*s[18])/1296 + (5508767*s[19])/10368 + (77196271*s[20])/10368 + 
       (57644495*s[21])/20736 - (39578167*s[22])/20736 - 3734*s[23] - 
       (10397693*s[24])/2592 + (455193955*s[25])/93312 - 
       (260571565*s[26])/93312 + (7*s[30])/8 - (19*s[31])/8 + (9*s[32])/8 - 
       (73*s[33])/64 + (5*s[34])/2 - (85*s[35])/48 + (22*s[36])/3 - 
       (239*s[37])/24 - (1651*s[38])/16 + (85655*s[39])/192 - 
       (96839*s[40])/192 + (76535*s[41])/192 - (41707*s[42])/64 - 
       (286235*s[43])/704 + (457867*s[44])/1056 - (510743*s[45])/1056 + 
       (2641231*s[46])/704 - (23863*s[47])/176 - (204703*s[48])/2112 + 
       (656669*s[49])/352 - (1019935*s[50])/352 - (2730655*s[51])/6336 - 
       (725731*s[52])/2112 + (6409079*s[53])/3168 - (37723*s[54])/528 + 
       (81291007*s[55])/6336 + (10807597*s[56])/3168 - 
       (57042065*s[57])/19008 + (163808255*s[58])/28512 - 
       (332423239*s[59])/57024 - (195550037*s[60])/6336 + 
       (1727811677*s[61])/1026432 + s[65]/4 + s[66] - (7*s[67])/4 - 
       (5*s[68])/8 - (23*s[69])/8 - s[70]/2 - s[71]/2 - (17*s[72])/8 + 
       (23*s[73])/8 + (53*s[74])/32 - (53*s[75])/32 + (9*s[76])/8 + 
       (19*s[77])/16 - (19*s[78])/8 - (85*s[79])/2 + (203*s[80])/12 - 
       (563*s[82])/4 - (3*s[83])/4 - (63*s[84])/4 - 27*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*
      ((-75*s[2])/32 - (1203*s[3])/64 - (46853*s[4])/384 - 
       (158515*s[5])/1056 - (1425839*s[6])/4224 - (73168541*s[7])/25344 + 
       (7323703*s[8])/38016 + (2123489*s[9])/864 + (1539185*s[10])/1728 + 
       (78870283*s[11])/25344 + (20753297*s[12])/6336 + 
       (48787061*s[13])/25344 + (17453899*s[14])/25344 + 
       (3071689*s[15])/768 + (31775945*s[16])/6336 + (35192495*s[17])/8448 + 
       (2852801*s[18])/5184 + (4737461*s[19])/10368 + 
       (693830729*s[20])/114048 + (519588241*s[21])/228096 - 
       (344762549*s[22])/228096 - (4022791*s[23])/1584 - 
       (93243859*s[24])/28512 + (3916956557*s[25])/1026432 - 
       (2292855437*s[26])/1026432 - s[30]/4 - s[31]/8 + (7*s[32])/16 - 
       (23*s[33])/64 + (13*s[35])/16 + (79*s[36])/12 + (187*s[37])/96 - 
       (523*s[38])/8 + (55283*s[39])/192 - (21161*s[40])/64 + 
       (50893*s[41])/192 - (26347*s[42])/64 - (204927*s[43])/704 + 
       (1300499*s[44])/4224 - (285229*s[45])/704 + (503783*s[46])/176 - 
       (686173*s[47])/12672 - (1756231*s[48])/12672 + 
       (17184487*s[49])/12672 - (2370667*s[50])/1056 - (395255*s[51])/1408 - 
       (2683577*s[52])/12672 + (9932551*s[53])/6336 + (9775*s[54])/264 + 
       (42834349*s[55])/4224 + (11025775*s[56])/4224 - (4167461*s[57])/3168 + 
       (52521511*s[58])/12672 - (53541797*s[59])/12672 - 
       (1827374683*s[60])/76032 + (456970355*s[61])/342144 + s[65]/8 + 
       s[66]/2 - (3*s[67])/4 + (5*s[68])/8 - (17*s[69])/8 - s[71]/16 - 
       (13*s[72])/8 - s[73]/8 + (47*s[74])/32 - (47*s[75])/32 + s[76]/8 + 
       (23*s[77])/16 - (17*s[78])/8 - (71*s[79])/4 + (167*s[80])/48 - 
       (619*s[82])/4 - (3*s[83])/8 - 9*s[84] - 27*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-1619*s[2])/144 - (931*s[3])/96 - (83203*s[4])/192 - 
       (24613*s[5])/72 - (524633*s[6])/576 - (74804689*s[7])/10368 + 
       (9085103*s[8])/15552 + (1479842*s[9])/243 + (14130815*s[10])/7776 + 
       (82286813*s[11])/10368 + (702383*s[12])/81 + (54549031*s[13])/10368 + 
       (10642229*s[14])/10368 + (97850353*s[15])/10368 + 
       (62721947*s[16])/5184 + (32068589*s[17])/3456 + 
       (33650387*s[18])/23328 + (39847487*s[19])/46656 + 
       (667538029*s[20])/46656 + (499283171*s[21])/93312 - 
       (353436295*s[22])/93312 - (45837553*s[23])/5184 - 
       (354789185*s[24])/46656 + (2108998229*s[25])/209952 - 
       (74137925*s[26])/13122 - (29*s[30])/9 - (209*s[31])/36 + (5*s[32])/6 - 
       (1363*s[33])/288 + (161*s[34])/18 + (349*s[35])/72 + 
       (5617*s[36])/216 - (1847*s[37])/216 - (2281*s[38])/9 + 
       (2121*s[39])/2 - (255043*s[40])/216 + (138065*s[41])/144 - 
       (168619*s[42])/108 - (1096633*s[43])/1188 + (4651183*s[44])/4752 - 
       (5045695*s[45])/4752 + (40019915*s[46])/4752 - (5215349*s[47])/14256 - 
       (1607921*s[48])/14256 + (29545609*s[49])/7128 - 
       (30348013*s[50])/4752 - (3852427*s[51])/3564 - 
       (12678649*s[52])/14256 + (63173755*s[53])/14256 - 
       (721469*s[54])/2376 + (267234743*s[55])/9504 + (36809045*s[56])/4752 - 
       (241559783*s[57])/28512 + (383253941*s[58])/28512 - 
       (42700549*s[59])/3168 - (2905709971*s[60])/42768 + 
       (724303445*s[61])/192456 + (11*s[65])/36 + (11*s[66])/9 - 
       (11*s[67])/9 - (3*s[68])/2 - (35*s[69])/18 + (10*s[70])/9 + 
       (149*s[71])/72 - (173*s[72])/36 + (55*s[73])/36 + (767*s[74])/144 - 
       (767*s[75])/144 + (205*s[76])/36 + (7*s[77])/24 - (307*s[78])/36 - 
       (680*s[79])/9 + (43*s[80])/108 - (671*s[82])/6 - (11*s[83])/12 - 
       (116*s[84])/3 - (79*s[85])/3) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((-193*s[2])/16 - 
       (1553*s[3])/288 - (228349*s[4])/576 - (535135*s[5])/1584 - 
       (5183627*s[6])/6336 - (258867943*s[7])/38016 + 
       (93080387*s[8])/171072 + (44783915*s[9])/7776 + (1712291*s[10])/972 + 
       (850890881*s[11])/114048 + (231094399*s[12])/28512 + 
       (556127855*s[13])/114048 + (121755581*s[14])/114048 + 
       (94108279*s[15])/10368 + (657200215*s[16])/57024 + 
       (1026549803*s[17])/114048 + (14951927*s[18])/11664 + 
       (43198207*s[19])/46656 + (7007637853*s[20])/513216 + 
       (5156632319*s[21])/1026432 - (3670817599*s[22])/1026432 - 
       (449829593*s[23])/57024 - (3784655321*s[24])/513216 + 
       (21791034515*s[25])/2309472 - (12158568371*s[26])/2309472 - 
       (19*s[30])/9 - (167*s[31])/36 + (59*s[32])/72 - (445*s[33])/288 + 
       (43*s[34])/6 + (299*s[35])/72 + (424*s[36])/27 - (3955*s[37])/144 - 
       (425*s[38])/2 + (264875*s[39])/288 - (894377*s[40])/864 + 
       (241285*s[41])/288 - (1178353*s[42])/864 - (7374799*s[43])/9504 + 
       (8262679*s[44])/9504 - (298989*s[45])/352 + (33566897*s[46])/4752 - 
       (9974627*s[47])/28512 - (556585*s[48])/14256 + 
       (101218181*s[49])/28512 - (25611215*s[50])/4752 - 
       (6809905*s[51])/7128 - (2671541*s[52])/3564 + (53267947*s[53])/14256 - 
       (1594771*s[54])/4752 + (74654461*s[55])/3168 + 
       (183268073*s[56])/28512 - (152147825*s[57])/21384 + 
       (1436381723*s[58])/128304 - (2890093441*s[59])/256608 - 
       (2438276807*s[60])/42768 + (14256075905*s[61])/4618944 + 
       (7*s[65])/18 + (14*s[66])/9 - (17*s[67])/9 - (4*s[68])/3 - 
       (31*s[69])/9 + (5*s[70])/18 - (61*s[71])/72 - (155*s[72])/36 + 
       (73*s[73])/36 + (239*s[74])/48 - (239*s[75])/48 + (197*s[76])/36 + 
       (13*s[77])/24 - (293*s[78])/36 - (547*s[79])/6 + (751*s[80])/24 - 
       (563*s[82])/6 - (7*s[83])/6 - (211*s[84])/6 - (79*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*
      ((-301*s[2])/24 - (6833*s[3])/144 - (68587*s[4])/96 - 
       (66565*s[5])/144 - (363205*s[6])/288 - (18787513*s[7])/1728 + 
       (7209809*s[8])/7776 + (35503267*s[9])/3888 + (5283619*s[10])/1944 + 
       (61979525*s[11])/5184 + (34156589*s[12])/2592 + 
       (40994645*s[13])/5184 + (6356759*s[14])/5184 + (73888175*s[15])/5184 + 
       (47116633*s[16])/2592 + (71217323*s[17])/5184 + 
       (25562237*s[18])/11664 + (30863999*s[19])/23328 + 
       (501045745*s[20])/23328 + (367302053*s[21])/46656 - 
       (265396297*s[22])/46656 - (18123973*s[23])/1296 - 
       (133451539*s[24])/11664 + (200122993*s[25])/13122 - 
       (55352876*s[26])/6561 - (73*s[30])/36 - (67*s[31])/18 - (45*s[32])/8 + 
       (23*s[33])/72 + (17*s[34])/6 + (313*s[35])/36 + (907*s[36])/27 - 
       (275*s[37])/12 - (29803*s[38])/72 + (237841*s[39])/144 - 
       (802519*s[40])/432 + (11799*s[41])/8 - (518635*s[42])/216 - 
       (7192157*s[43])/4752 + (7350923*s[44])/4752 - (150999*s[45])/88 + 
       (63591359*s[46])/4752 - (7109437*s[47])/14256 - (2230973*s[48])/7128 + 
       (94922557*s[49])/14256 - (48538709*s[50])/4752 - 
       (23708375*s[51])/14256 - (9626101*s[52])/7128 + 
       (101713903*s[53])/14256 - (2072161*s[54])/4752 + 
       (71716201*s[55])/1584 + (174749995*s[56])/14256 - 
       (251678627*s[57])/21384 + (1337063329*s[58])/64152 - 
       (2704619657*s[59])/128304 - (9330109159*s[60])/85536 + 
       (6828860495*s[61])/1154736 + s[64]/8 - (29*s[65])/72 - (29*s[66])/18 + 
       (25*s[67])/9 - (89*s[68])/36 + (181*s[69])/36 + (13*s[70])/36 + 
       (191*s[71])/72 - (20*s[72])/9 - (115*s[73])/18 + (43*s[74])/6 - 
       (83*s[75])/12 + (175*s[76])/18 - (74*s[77])/9 - (31*s[78])/18 - 
       (431*s[79])/3 + (145*s[80])/9 + (95*s[82])/2 + (19*s[83])/12 - 
       (218*s[84])/3 - (77*s[85])/3) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]*((59*s[2])/12 + (67*s[3])/36 + (2821*s[4])/24 + 
       (5609*s[5])/792 + (145637*s[6])/1584 + (5320285*s[7])/4752 - 
       (6580789*s[8])/42768 - (229676*s[9])/243 - (245561*s[10])/1944 - 
       (18091349*s[11])/14256 - (45017867*s[12])/28512 - 
       (28132831*s[13])/28512 + (5198795*s[14])/28512 - (388951*s[15])/324 - 
       (45354499*s[16])/28512 - (2491553*s[17])/3564 - (1770935*s[18])/5832 + 
       (652381*s[19])/11664 - (252673415*s[20])/128304 - 
       (169370365*s[21])/256608 + (153580589*s[22])/256608 + 
       (17159585*s[23])/7128 + (120648511*s[24])/128304 - 
       (2014844207*s[25])/1154736 + (1015134935*s[26])/1154736 + 
       (59*s[30])/36 + (13*s[31])/9 + (19*s[32])/24 + (655*s[33])/144 - 
       (11*s[34])/4 + (77*s[35])/18 + (637*s[36])/108 - (55*s[37])/24 + 
       (1559*s[38])/72 + (2945*s[39])/72 - (10271*s[40])/216 + 
       (1801*s[41])/48 - (37301*s[42])/432 + (69359*s[43])/2376 + 
       (744571*s[44])/9504 + (5711*s[45])/176 + (699173*s[46])/4752 - 
       (1729217*s[47])/28512 + (1144423*s[48])/28512 + 
       (6621479*s[49])/28512 - (1001369*s[50])/4752 - (1788151*s[51])/28512 + 
       (482033*s[52])/28512 + (3043079*s[53])/28512 + (145843*s[54])/594 + 
       (761369*s[55])/3168 - (3374923*s[56])/28512 - (12838351*s[57])/42768 + 
       (31745269*s[58])/256608 - (26956135*s[59])/256608 - 
       (221006261*s[60])/171072 + (65243417*s[61])/1154736 + s[64]/8 + 
       (103*s[65])/72 + (103*s[66])/18 - (107*s[67])/9 - (353*s[68])/36 - 
       (611*s[69])/36 - (143*s[70])/36 - (113*s[71])/36 - (41*s[72])/9 + 
       (619*s[73])/36 + (103*s[74])/24 - (97*s[75])/24 - (91*s[76])/9 + 
       (53*s[77])/18 - (329*s[78])/36 - 3*s[79] + (286*s[80])/9 - 
       (565*s[82])/2 - (47*s[83])/12 + (13*s[84])/3 - (77*s[85])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
      ((-1529*s[2])/288 - (1213*s[3])/576 - (25773*s[4])/128 - 
       (1089611*s[5])/6336 - (5245247*s[6])/12672 - (836079125*s[7])/228096 + 
       (97347247*s[8])/342144 + (48370585*s[9])/15552 + 
       (15324665*s[10])/15552 + (917118949*s[11])/228096 + 
       (498506491*s[12])/114048 + (597999209*s[13])/228096 + 
       (125803231*s[14])/228096 + (101034775*s[15])/20736 + 
       (176481157*s[16])/28512 + (365944853*s[17])/76032 + 
       (31971455*s[18])/46656 + (49355951*s[19])/93312 + 
       (7555435517*s[20])/1026432 + (5555889961*s[21])/2052864 - 
       (3964887989*s[22])/2052864 - (461860979*s[23])/114048 - 
       (4108420099*s[24])/1026432 + (46868620259*s[25])/9237888 - 
       (26177636567*s[26])/9237888 - (7*s[30])/72 - (55*s[31])/24 + 
       (25*s[32])/36 - (1135*s[33])/576 + (257*s[34])/72 + (167*s[35])/144 + 
       (961*s[36])/108 - (3415*s[37])/288 - (8873*s[38])/72 + 
       (95555*s[39])/192 - (959827*s[40])/1728 + (253705*s[41])/576 - 
       (77069*s[42])/108 - (8502773*s[43])/19008 + (18162775*s[44])/38016 - 
       (3386777*s[45])/6336 + (1222865*s[46])/297 - (17740181*s[47])/114048 - 
       (10755071*s[48])/114048 + (234434213*s[49])/114048 - 
       (30136495*s[50])/9504 - (56430109*s[51])/114048 - 
       (44756845*s[52])/114048 + (125243221*s[53])/57024 - 
       (37787*s[54])/594 + (532947871*s[55])/38016 + (422347091*s[56])/
        114048 - (567248485*s[57])/171072 + (6497259139*s[58])/1026432 - 
       (6572366137*s[59])/1026432 - (23196325673*s[60])/684288 + 
       (16813388683*s[61])/9237888 + s[65]/6 + (2*s[66])/3 - (4*s[67])/3 - 
       (4*s[68])/9 - (71*s[69])/36 - s[70]/9 + s[71]/48 - (167*s[72])/72 + 
       (17*s[73])/72 + (235*s[74])/96 - (235*s[75])/96 + (179*s[76])/72 + 
       (191*s[77])/144 - (233*s[78])/72 - (1465*s[79])/36 + 
       (1385*s[80])/144 - (389*s[82])/4 - s[83]/2 - (209*s[84])/12 - 
       (49*s[85])/2) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      ((-419*s[2])/96 - (335*s[3])/192 - (39847*s[4])/384 - 
       (786893*s[5])/6336 - (3573935*s[6])/12672 - (557080237*s[7])/228096 + 
       (56959679*s[8])/342144 + (32348003*s[9])/15552 + 
       (11351461*s[10])/15552 + (603999743*s[11])/228096 + 
       (320999201*s[12])/114048 + (380968459*s[13])/228096 + 
       (123360257*s[14])/228096 + (68877995*s[15])/20736 + 
       (478659851*s[16])/114048 + (86732681*s[17])/25344 + 
       (21139111*s[18])/46656 + (35509639*s[19])/93312 + 
       (5212067821*s[20])/1026432 + (3883821059*s[21])/2052864 - 
       (2637960679*s[22])/2052864 - (126604223*s[23])/57024 - 
       (1422160159*s[24])/513216 + (7537093483*s[25])/2309472 - 
       (8694990377*s[26])/4618944 + (53*s[30])/72 - (25*s[31])/24 + s[32]/6 - 
       (31*s[33])/192 - s[34]/4 - (227*s[35])/144 + (43*s[36])/24 - 
       (863*s[37])/216 - (9091*s[38])/144 + (49565*s[39])/192 - 
       (172135*s[40])/576 + (45799*s[41])/192 - (35027*s[42])/96 - 
       (150707*s[43])/576 + (312245*s[44])/1152 - (311437*s[45])/864 + 
       (4418705*s[46])/1728 - (190567*s[47])/3456 - (403477*s[48])/3456 + 
       (4116367*s[49])/3456 - (573041*s[50])/288 - (292697*s[51])/1152 - 
       (676871*s[52])/3456 + (7214515*s[53])/5184 - (20993*s[54])/864 + 
       (31195957*s[55])/3456 + (24731671*s[56])/10368 - 
       (2436049*s[57])/1944 + (348573605*s[58])/93312 - 
       (352855859*s[59])/93312 - (148419703*s[60])/6912 + 
       (998977409*s[61])/839808 + s[65]/24 + s[66]/6 - s[67]/3 + s[68]/18 - 
       (13*s[69])/18 - (13*s[70])/36 - s[71]/24 - (29*s[72])/24 + 
       (5*s[73])/8 + (169*s[74])/288 - (169*s[75])/288 + (31*s[76])/24 + 
       (37*s[77])/48 - (23*s[78])/72 - (485*s[79])/18 + (1021*s[80])/108 - 
       (449*s[82])/4 - s[83]/8 - (32*s[84])/3 - (49*s[85])/2) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]^2*
      ((-37*s[2])/4 + (53*s[3])/9 - (2375*s[4])/8 - (242885*s[5])/792 - 
       (1053287*s[6])/1584 - (118579907*s[7])/19008 + (38646713*s[8])/85536 + 
       (41435335*s[9])/7776 + (13778315*s[10])/7776 + 
       (389267507*s[11])/57024 + (52598585*s[12])/7128 + 
       (250524869*s[13])/57024 + (62183267*s[14])/57024 + 
       (43365151*s[15])/5184 + (302410489*s[16])/28512 + 
       (475846421*s[17])/57024 + (26941319*s[18])/23328 + 
       (11010131*s[19])/11664 + (409115159*s[20])/32076 + 
       (2406915455*s[21])/513216 - (1696279681*s[22])/513216 - 
       (22482931*s[23])/3564 - (445775213*s[24])/64152 + 
       (19700159503*s[25])/2309472 - (2772672697*s[26])/577368 - 
       (5*s[30])/9 - (71*s[31])/18 + (17*s[32])/6 - (73*s[33])/144 + 
       (67*s[34])/12 + (26*s[35])/9 + (401*s[36])/27 - (3133*s[37])/144 - 
       (7831*s[38])/36 + (118217*s[39])/144 - (397175*s[40])/432 + 
       (16907*s[41])/24 - (124957*s[42])/108 - (3639367*s[43])/4752 + 
       (15405127*s[44])/19008 - (2854043*s[45])/3168 + 
       (65218337*s[46])/9504 - (12001145*s[47])/57024 - 
       (13993157*s[48])/57024 + (202451915*s[49])/57024 - 
       (12655979*s[50])/2376 - (44845237*s[51])/57024 - 
       (35115259*s[52])/57024 + (104933335*s[53])/28512 + 
       (24053*s[54])/2376 + (148791857*s[55])/6336 + (344691713*s[56])/
        57024 - (417503617*s[57])/85536 + (5295669007*s[58])/513216 - 
       (5399286331*s[59])/513216 - (19641013151*s[60])/342144 + 
       (3429350875*s[61])/1154736 + (7*s[65])/36 + (7*s[66])/9 - 
       (17*s[67])/18 + (29*s[68])/36 - (79*s[69])/36 + (8*s[70])/9 + 
       s[71]/72 - (25*s[72])/9 + (17*s[73])/9 + (23*s[74])/6 - (23*s[75])/6 + 
       (46*s[76])/9 - (7*s[77])/36 - (107*s[78])/18 - (473*s[79])/6 + 
       (159*s[80])/8 - 170*s[82] - (7*s[83])/12 - (191*s[84])/6 - 
       (73*s[85])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*
      ((-39*s[2])/4 - (655*s[3])/144 - (31525*s[4])/96 - (9659*s[5])/36 - 
       (176753*s[6])/288 - (312601*s[7])/54 + (913435*s[8])/1944 + 
       (38137555*s[9])/7776 + (12130937*s[10])/7776 + (8210347*s[11])/1296 + 
       (8920919*s[12])/1296 + (5310865*s[13])/1296 + (1018171*s[14])/1296 + 
       (10131565*s[15])/1296 + (25487177*s[16])/2592 + (9945691*s[17])/1296 + 
       (24302681*s[18])/23328 + (20538835*s[19])/23328 + 
       (135651139*s[20])/11664 + (98599571*s[21])/23328 - 
       (35643401*s[22])/11664 - (2117129*s[23])/324 - 
       (148440991*s[24])/23328 + (1686951497*s[25])/209952 - 
       (466195321*s[26])/104976 - (7*s[30])/18 - (52*s[31])/9 + 
       (13*s[32])/6 - (401*s[33])/72 + (31*s[34])/4 - (209*s[35])/72 + 
       (3601*s[36])/216 - (6103*s[37])/288 - (26425*s[38])/144 + 
       (224311*s[39])/288 - (756133*s[40])/864 + (32287*s[41])/48 - 
       (244697*s[42])/216 - (6525455*s[43])/9504 + (3582541*s[44])/4752 - 
       (5068259*s[45])/6336 + (119140009*s[46])/19008 - 
       (7264039*s[47])/28512 - (741307*s[48])/7128 + (91366765*s[49])/28512 - 
       (5771035*s[50])/1188 - (21758723*s[51])/28512 - 
       (16489157*s[52])/28512 + (193785299*s[53])/57024 - 
       (360799*s[54])/9504 + (34113571*s[55])/1584 + (39897757*s[56])/7128 - 
       (55454309*s[57])/10692 + (4949404387*s[58])/513216 - 
       (2534650073*s[59])/256608 - (17677214909*s[60])/342144 + 
       (25190523383*s[61])/9237888 - s[62]/16 + (5*s[65])/18 + (10*s[66])/9 - 
       (29*s[67])/18 - s[68]/36 - (97*s[69])/36 + (14*s[70])/9 - 
       (175*s[71])/144 - (34*s[72])/9 + (17*s[73])/9 + (95*s[74])/24 - 
       (95*s[75])/24 + (52*s[76])/9 + (47*s[77])/36 - (107*s[78])/18 - 
       (439*s[79])/6 + (3169*s[80])/144 - 176*s[82] - (5*s[83])/6 - 
       (85*s[84])/3 - (73*s[85])/3) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v]*(2*s[2] + (581*s[3])/12 + (759*s[4])/8 - 
       (19697*s[5])/132 - (34099*s[6])/264 - (719441*s[7])/528 + 
       (69319*s[8])/2376 + (35374*s[9])/27 + (35443*s[10])/54 + 
       (1972255*s[11])/1584 + (403397*s[12])/396 + (679849*s[13])/1584 + 
       (1637695*s[14])/1584 + (35445*s[15])/16 + (2015939*s[16])/792 + 
       (4291537*s[17])/1584 + (31937*s[18])/81 + (43055*s[19])/648 + 
       (25911581*s[20])/7128 + (21922225*s[21])/14256 - 
       (10634477*s[22])/14256 + (109409*s[23])/792 - (10744429*s[24])/7128 + 
       (73222049*s[25])/64152 - (64228367*s[26])/64152 + 8*s[30] + 2*s[34] - 
       7*s[35] - (73*s[36])/6 - 10*s[37] + (545*s[38])/6 - (4309*s[39])/24 + 
       (1579*s[40])/8 - (1229*s[41])/8 + (4387*s[42])/24 + 
       (60635*s[43])/264 - (35179*s[44])/176 + (9367*s[45])/132 - 
       (160063*s[46])/264 + (3647*s[47])/1584 + (221909*s[48])/1584 - 
       (1570829*s[49])/1584 + (9191*s[50])/22 + (42523*s[51])/528 + 
       (160411*s[52])/1584 - (58895*s[53])/264 - (32371*s[54])/132 - 
       (2272757*s[55])/1584 - (1351*s[56])/1584 + (1204741*s[57])/1188 - 
       (13364489*s[58])/14256 + (17361803*s[59])/14256 + 
       (60171191*s[60])/9504 + (5418199*s[61])/128304 + 3*s[68] - 3*s[69] - 
       (5*s[71])/2 + s[74] - s[75] + s[76] + 3*s[77] + 6*s[78] - 12*s[79] + 
       (52*s[80])/3 - 95*s[82] - 24*s[85]) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*((-151*s[2])/4 - 
       (79*s[3])/24 - (27519*s[4])/16 - (389701*s[5])/264 - 
       (1683661*s[6])/528 - (92586151*s[7])/3168 + (33760307*s[8])/14256 + 
       (8017279*s[9])/324 + (2466443*s[10])/324 + (301861343*s[11])/9504 + 
       (81539905*s[12])/2376 + (194443289*s[13])/9504 + 
       (36302111*s[14])/9504 + (34230499*s[15])/864 + (58605001*s[16])/1188 + 
       (367715225*s[17])/9504 + (1416137*s[18])/243 + (14435755*s[19])/3888 + 
       (2495961019*s[20])/42768 + (1869209357*s[21])/85536 - 
       (1310962357*s[22])/85536 - (86069785*s[23])/2376 - 
       (164512945*s[24])/5346 + (15429567145*s[25])/384912 - 
       (8716532557*s[26])/384912 + (73*s[30])/6 - (38*s[31])/3 + 
       (5*s[32])/2 - (95*s[33])/12 + (83*s[34])/2 - (91*s[35])/6 + 
       (2297*s[36])/18 - (377*s[37])/4 - (6469*s[38])/6 + (52789*s[39])/12 - 
       (172213*s[40])/36 + 3798*s[41] - (230987*s[42])/36 - 
       (1530257*s[43])/396 + (6257807*s[44])/1584 - (380159*s[45])/88 + 
       (27337699*s[46])/792 - (6941221*s[47])/4752 - (1012969*s[48])/4752 + 
       (82476991*s[49])/4752 - (2629667*s[50])/99 - (20184377*s[51])/4752 - 
       (16264739*s[52])/4752 + (22507477*s[53])/1188 - (67453*s[54])/99 + 
       (62847529*s[55])/528 + (146731801*s[56])/4752 - 
       (205620323*s[57])/7128 + (2271001085*s[58])/42768 - 
       (2347290863*s[59])/42768 - (7961336323*s[60])/28512 + 
       (5717370779*s[61])/384912 + 2*s[63] + (5*s[65])/3 + (8*s[66])/3 + 
       (13*s[67])/3 + (28*s[68])/3 + (4*s[69])/3 + (100*s[70])/3 + 
       (10*s[71])/3 - (77*s[72])/3 - (29*s[73])/3 + (111*s[74])/4 - 
       (105*s[75])/4 + (98*s[76])/3 - (187*s[77])/6 - (131*s[78])/3 - 
       260*s[79] - (97*s[80])/6 - s[81]/6 + 256*s[82] - (13*s[83])/2 - 
       173*s[84] - 24*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - v]*(-49*s[2] + (311*s[3])/3 - (6605*s[4])/4 - 
       (166295*s[5])/132 - (395363*s[6])/132 - (2648753*s[7])/99 + 
       (2618245*s[8])/1188 + (1230739*s[9])/54 + (359255*s[10])/54 + 
       (23330605*s[11])/792 + (25552727*s[12])/792 + (644174*s[13])/33 + 
       (1199867*s[14])/396 + (317152*s[15])/9 + (2951813*s[16])/66 + 
       (26968703*s[17])/792 + (410512*s[18])/81 + (560815*s[19])/162 + 
       (187266989*s[20])/3564 + (69022181*s[21])/3564 - 
       (50513047*s[22])/3564 - (2941243*s[23])/88 - (201303701*s[24])/7128 + 
       (2404282267*s[25])/64152 - (1326798595*s[26])/64152 + 3*s[30] - 
       30*s[31] + (37*s[32])/2 - (123*s[33])/4 + 57*s[34] + 6*s[35] + 
       114*s[36] - (755*s[37])/6 - (3251*s[38])/3 + (13138*s[39])/3 - 
       (14372*s[40])/3 + (7635*s[41])/2 - (77321*s[42])/12 - 
       (40737*s[43])/11 + (518443*s[44])/132 - (478945*s[45])/132 + 
       (4137715*s[46])/132 - (17704*s[47])/11 - (6641*s[48])/66 + 
       (2214865*s[49])/132 - (794257*s[50])/33 - (1758355*s[51])/396 - 
       (468481*s[52])/132 + (2194021*s[53])/132 - (49565*s[54])/66 + 
       (40899421*s[55])/396 + (3596111*s[56])/132 - (3401366*s[57])/99 + 
       (59635867*s[58])/1188 - (15152608*s[59])/297 - (100356029*s[60])/396 + 
       (279631727*s[61])/21384 + 3*s[65] + 12*s[66] - 24*s[67] - 9*s[68] - 
       39*s[69] + 3*s[71] - 24*s[72] + 46*s[73] + 27*s[74] - 27*s[75] + 
       24*s[76] + 21*s[77] - 42*s[78] - 336*s[79] + 35*s[80] + 265*s[82] - 
       9*s[83] - 162*s[84] - 24*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u]*((-43*s[2])/2 - (217*s[3])/6 - (5867*s[4])/4 - 
       (9084*s[5])/11 - (74725*s[6])/33 - (5426423*s[7])/264 + 
       (520361*s[8])/297 + (1866661*s[9])/108 + (546167*s[10])/108 + 
       (2261227*s[11])/99 + (20032171*s[12])/792 + (12228473*s[13])/792 + 
       (1233827*s[14])/792 + (215839*s[15])/8 + (6801479*s[16])/198 + 
       (10125985*s[17])/396 + (1187201*s[18])/324 + (990193*s[19])/324 + 
       (35447494*s[20])/891 + (102260825*s[21])/7128 - 
       (77143021*s[22])/7128 - (20923885*s[23])/792 - 
       (157685359*s[24])/7128 + (1891125263*s[25])/64152 - 
       (1019392481*s[26])/64152 + 5*s[30] - 10*s[31] + s[32] - (41*s[33])/4 + 
       21*s[34] + 24*s[35] + (230*s[36])/3 - (665*s[37])/12 - 
       (1859*s[38])/2 + (13695*s[39])/4 - (45101*s[40])/12 + (5885*s[41])/2 - 
       (58849*s[42])/12 - (36557*s[43])/12 + (74503*s[44])/24 - 
       (22965*s[45])/8 + (583519*s[46])/24 - (8819*s[47])/8 - 
       (8027*s[48])/24 + (326765*s[49])/24 - (111545*s[50])/6 - 
       (235201*s[51])/72 - (21609*s[52])/8 + (918145*s[53])/72 - 
       (707*s[54])/4 + (1922713*s[55])/24 + (1491059*s[56])/72 - 
       (2775133*s[57])/108 + (12537317*s[58])/324 - (25748149*s[59])/648 - 
       (14344793*s[60])/72 + (114354803*s[61])/11664 + s[62]/2 + s[65] + 
       4*s[66] - 8*s[67] - s[68] - 9*s[69] - 2*s[70] + (11*s[71])/2 - 
       14*s[72] + 18*s[73] + 16*s[74] - 16*s[75] + 14*s[76] + 8*s[77] - 
       24*s[78] - 280*s[79] + (41*s[80])/2 + 247*s[82] - 3*s[83] - 
       126*s[84] - 24*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      Omega2[w, u, v]*(-12*s[2] + (13*s[3])/6 - (1783*s[4])/4 - 
       (48919*s[5])/132 - (114689*s[6])/132 - (6198923*s[7])/792 + 
       (2263519*s[8])/3564 + (537893*s[9])/81 + (669199*s[10])/324 + 
       (5084755*s[11])/594 + (22136363*s[12])/2376 + (13199845*s[13])/2376 + 
       (2670313*s[14])/2376 + (2255813*s[15])/216 + (7849591*s[16])/594 + 
       (12193079*s[17])/1188 + (363628*s[18])/243 + (513913*s[19])/486 + 
       (84015781*s[20])/5346 + (123424621*s[21])/21384 - 
       (88273463*s[22])/21384 - (21644567*s[23])/2376 - 
       (180082673*s[24])/21384 + (1040756627*s[25])/96228 - 
       (145165226*s[26])/24057 - (2*s[30])/3 - (16*s[31])/3 + 3*s[32] - 
       (17*s[33])/6 + 8*s[34] + (14*s[35])/3 + (176*s[36])/9 - 31*s[37] - 
       (757*s[38])/3 + (6541*s[39])/6 - (21991*s[40])/18 + 957*s[41] - 
       (14407*s[42])/9 - (184373*s[43])/198 + (401689*s[44])/396 - 
       (23481*s[45])/22 + (845050*s[46])/99 - (232795*s[47])/594 - 
       (19757*s[48])/297 + (2533207*s[49])/594 - (648892*s[50])/99 - 
       (649217*s[51])/594 - (1031047*s[52])/1188 + (1357544*s[53])/297 - 
       (44989*s[54])/198 + (951926*s[55])/33 + (4576201*s[56])/594 - 
       (7202000*s[57])/891 + (35840311*s[58])/2673 - (72514067*s[59])/5346 - 
       (61753354*s[60])/891 + (359170489*s[61])/96228 + s[65]/3 + 
       (4*s[66])/3 - (4*s[67])/3 - (4*s[68])/3 - (4*s[69])/3 + (2*s[70])/3 - 
       s[71]/3 - (16*s[72])/3 + (8*s[73])/3 + 6*s[74] - 6*s[75] + 
       (22*s[76])/3 + (2*s[77])/3 - (28*s[78])/3 - 108*s[79] + (86*s[80])/3 - 
       136*s[82] - s[83] - 46*s[84] - 24*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      (16*s[2] - (175*s[3])/2 - (1621*s[4])/4 + (37*s[5])/11 - 
       (4801*s[6])/11 - (2493415*s[7])/792 + (79901*s[8])/198 + 
       (88157*s[9])/36 + (8627*s[10])/18 + (236879*s[11])/66 + 
       (1133513*s[12])/264 + (2150585*s[13])/792 - (104239*s[14])/264 + 
       (265141*s[15])/72 + (974375*s[16])/198 + (1197407*s[17])/396 + 
       (56405*s[18])/108 + (11914*s[19])/27 + (6234091*s[20])/1188 + 
       (1223017*s[21])/792 - (3704561*s[22])/2376 - (4521481*s[23])/792 - 
       (7538675*s[24])/2376 + (12095591*s[25])/2376 - (5642891*s[26])/2376 - 
       6*s[30] + 8*s[31] - 5*s[32] + 4*s[33] - 18*s[34] - 2*s[35] - 
       (44*s[36])/3 + (113*s[37])/6 - 220*s[38] + (1221*s[39])/2 - 
       (4211*s[40])/6 + 580*s[41] - (2513*s[42])/3 - (3821*s[43])/6 + 
       (6217*s[44])/12 - (10123*s[45])/12 + (66731*s[46])/12 - 
       (6941*s[47])/36 - (5291*s[48])/36 + (88649*s[49])/36 - 
       (12469*s[50])/3 - (24619*s[51])/36 - (22273*s[52])/36 + 
       (104863*s[53])/36 - (2855*s[54])/6 + (231259*s[55])/12 + 
       (63415*s[56])/12 - (23267*s[57])/6 + (462479*s[58])/54 - 
       (928195*s[59])/108 - (4974997*s[60])/108 + (4926925*s[61])/1944 - 
       2*s[65] - 8*s[66] + 12*s[67] + 2*s[68] + 22*s[69] + 9*s[71] + 
       4*s[72] - 12*s[73] - 3*s[74] + 3*s[75] - 8*s[77] + 20*s[78] - 
       72*s[79] - (43*s[80])/3 + 228*s[82] + 6*s[83] - 36*s[84] - 24*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      (15*s[2] - (181*s[3])/2 - (1713*s[4])/4 - (37*s[5])/2 - (721*s[6])/2 - 
       (71525*s[7])/24 + (4057*s[8])/9 + (83593*s[9])/36 + (3458*s[10])/9 + 
       (41183*s[11])/12 + (99479*s[12])/24 + (61067*s[13])/24 - 
       (13811*s[14])/24 + (86245*s[15])/24 + (28205*s[16])/6 + 2790*s[17] + 
       (56729*s[18])/108 + (21395*s[19])/54 + (537479*s[20])/108 + 
       (299719*s[21])/216 - (319757*s[22])/216 - (149089*s[23])/24 - 
       (652481*s[24])/216 + (9606553*s[25])/1944 - (4310701*s[26])/1944 - 
       4*s[30] + 8*s[31] - 6*s[32] + 4*s[33] - 16*s[34] + (9*s[35])/2 - 
       (43*s[36])/3 - (185*s[37])/6 - 165*s[38] + (2385*s[39])/4 - 
       (8207*s[40])/12 + (2201*s[41])/4 - (10555*s[42])/12 - 
       (66097*s[43])/132 + (126443*s[44])/264 - (72493*s[45])/132 + 
       (279337*s[46])/66 - (266713*s[47])/792 + (101897*s[48])/792 + 
       (1463131*s[49])/792 - (101551*s[50])/33 - (589595*s[51])/792 - 
       (449597*s[52])/792 + (211414*s[53])/99 - (22366*s[54])/33 + 
       (3597685*s[55])/264 + (1088063*s[56])/264 - (64375*s[57])/11 + 
       (17216447*s[58])/2376 - (16764767*s[59])/2376 - 
       (155950903*s[60])/4752 + (20243759*s[61])/10692 - 2*s[65] - 8*s[66] + 
       12*s[67] + 2*s[68] + 22*s[69] + 2*s[71] + 4*s[72] - 12*s[73] - 
       2*s[74] + 2*s[75] + 8*s[76] - 8*s[77] + 16*s[78] - 64*s[79] + 
       (31*s[80])/3 + 228*s[82] + 6*s[83] - 36*s[84] - 24*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Nt[u, v, w]*((-14*s[2])/3 - 
       (37*s[3])/4 - (2849*s[4])/12 - (49895*s[5])/264 - (122335*s[6])/264 - 
       (730943*s[7])/176 + (264653*s[8])/792 + (63229*s[9])/18 + 
       (80339*s[10])/72 + (2399479*s[11])/528 + (217711*s[12])/44 + 
       (1558763*s[13])/528 + (318683*s[14])/528 + (88613*s[15])/16 + 
       (927229*s[16])/132 + (961449*s[17])/176 + (169649*s[18])/216 + 
       (31909*s[19])/54 + (19830169*s[20])/2376 + (14468567*s[21])/4752 - 
       (10377607*s[22])/4752 - (311345*s[23])/66 - (1341598*s[24])/297 + 
       (122892445*s[25])/21384 - (34152089*s[26])/10692 - s[30]/6 - 
       (5*s[31])/3 + (5*s[32])/6 - (5*s[33])/8 + (3*s[34])/2 + (2*s[35])/3 + 
       (22*s[36])/3 - (35*s[37])/3 - 130*s[38] + (13259*s[39])/24 - 
       (15043*s[40])/24 + (11797*s[41])/24 - (19295*s[42])/24 - 
       (130421*s[43])/264 + (278503*s[44])/528 - (52671*s[45])/88 + 
       (605867*s[46])/132 - (280015*s[47])/1584 - (149797*s[48])/1584 + 
       (3567319*s[49])/1584 - (466669*s[50])/132 - (869711*s[51])/1584 - 
       (696425*s[52])/1584 + (243454*s[53])/99 - (13229*s[54])/132 + 
       (2753677*s[55])/176 + (6604657*s[56])/1584 - (4568797*s[57])/1188 + 
       (101140313*s[58])/14256 - (102120233*s[59])/14256 - 
       (357400015*s[60])/9504 + (131340985*s[61])/64152 - 2*s[72] + 
       (7*s[74])/3 - (7*s[75])/3 + (8*s[76])/3 + (2*s[77])/3 - 2*s[78] - 
       56*s[79] + (50*s[80])/3 - 108*s[82] - 24*s[84] - 24*s[85]) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      (-6*s[2] - (559*s[3])/48 - (22249*s[4])/96 - (68683*s[5])/352 - 
       (311979*s[6])/704 - (1649641*s[7])/396 + (6119867*s[8])/19008 + 
       (6108121*s[9])/1728 + (496991*s[10])/432 + (57540287*s[11])/12672 + 
       (62118511*s[12])/12672 + (6170243*s[13])/2112 + (3864703*s[14])/6336 + 
       (271613*s[15])/48 + (311615*s[16])/44 + (70876867*s[17])/12672 + 
       (3952697*s[18])/5184 + (3326365*s[19])/5184 + (59950013*s[20])/7128 + 
       (175807417*s[21])/57024 - (62476405*s[22])/28512 - 
       (6449261*s[23])/1408 - (523258009*s[24])/114048 + 
       (5877048665*s[25])/1026432 - (3284668037*s[26])/1026432 - 2*s[31] + 
       s[32]/2 - (23*s[33])/16 + (9*s[34])/4 + s[35]/16 + (143*s[36])/16 - 
       (65*s[37])/8 - (419*s[38])/3 + (26491*s[39])/48 - (29851*s[40])/48 + 
       (15353*s[41])/32 - (37757*s[42])/48 - (25145*s[43])/48 + 
       (51037*s[44])/96 - (7493*s[45])/12 + (224387*s[46])/48 - 
       (2653*s[47])/18 - (19169*s[48])/144 + (341525*s[49])/144 - 
       (87125*s[50])/24 - (37285*s[51])/72 - (118595*s[52])/288 + 
       (91979*s[53])/36 + (803*s[54])/48 + (781349*s[55])/48 + 
       (149609*s[56])/36 - (2777533*s[57])/864 + (1136861*s[58])/162 - 
       (4700381*s[59])/648 - (33561425*s[60])/864 + (2979107*s[61])/1458 + 
       s[71]/2 - 2*s[72] + 2*s[74] - 2*s[75] + 3*s[76] + s[77]/2 - 2*s[78] - 
       50*s[79] + (31*s[80])/3 - 69*s[82] - 24*s[84] - 24*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - u]*
      (-2*s[2] - (103*s[3])/8 - (335*s[4])/3 - (151721*s[5])/1056 - 
       (585953*s[6])/2112 - (8635597*s[7])/3168 + (3648517*s[8])/19008 + 
       (4035113*s[9])/1728 + (711203*s[10])/864 + (37200421*s[11])/12672 + 
       (39521261*s[12])/12672 + (1268749*s[13])/704 + (3679193*s[14])/6336 + 
       (1086775*s[15])/288 + (309481*s[16])/66 + (48592625*s[17])/12672 + 
       (2761195*s[18])/5184 + (2148623*s[19])/5184 + (163645117*s[20])/
        28512 + (121119269*s[21])/57024 - (40899809*s[22])/28512 - 
       (10887029*s[23])/4224 - (347638943*s[24])/114048 + 
       (3709540339*s[25])/1026432 - (2144687011*s[26])/1026432 - s[30]/4 - 
       s[31]/2 + (3*s[32])/8 - s[33]/4 + s[34]/2 + s[35]/2 + (103*s[36])/24 - 
       (25*s[37])/6 - (1831*s[38])/24 + (28363*s[39])/96 - (32419*s[40])/96 + 
       (3023*s[41])/12 - (39607*s[42])/96 - (307049*s[43])/1056 + 
       (107405*s[44])/352 - (35675*s[45])/88 + (2973073*s[46])/1056 - 
       (100477*s[47])/1584 - (375029*s[48])/3168 + (4254653*s[49])/3168 - 
       (584213*s[50])/264 - (58087*s[51])/198 - (339899*s[52])/1584 + 
       (4935277*s[53])/3168 + (7753*s[54])/264 + (31828129*s[55])/3168 + 
       (2674411*s[56])/1056 - (1981741*s[57])/1584 + (9635885*s[58])/2376 - 
       (19799785*s[59])/4752 - (451152485*s[60])/19008 + 
       (18332629*s[61])/14256 + s[71]/8 - s[72] - s[73] + (5*s[74])/4 - 
       (5*s[75])/4 + s[76] + s[77]/2 - s[78] - (53*s[79])/2 + (41*s[80])/6 - 
       121*s[82] - 12*s[84] - 24*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w]*((-49*s[2])/2 - 63*s[3] - s[4] - 
       (8304*s[5])/11 - (68345*s[6])/66 - (3069865*s[7])/396 + 
       (34739*s[8])/99 + (242389*s[9])/36 + (23144*s[10])/9 + 
       (173849*s[11])/22 + (337841*s[12])/44 + (1619399*s[13])/396 + 
       (148911*s[14])/44 + (422141*s[15])/36 + (1358630*s[16])/99 + 
       (1270309*s[17])/99 + (239155*s[18])/108 + (27751*s[19])/54 + 
       (5345240*s[20])/297 + (3145885*s[21])/396 - (4684019*s[22])/1188 - 
       (2532553*s[23])/396 - (9815285*s[24])/1188 + (2562976*s[25])/297 - 
       (1923448*s[26])/297 - 3*s[29] - s[30] + s[31] - (21*s[32])/2 + 
       (145*s[33])/4 - 11*s[34] + (74*s[35])/3 + (11*s[36])/3 + 
       (47*s[37])/6 - (686*s[38])/3 + (8425*s[39])/12 - (2683*s[40])/4 + 
       (2137*s[41])/4 - (3671*s[42])/4 - (123307*s[43])/132 + 
       (145813*s[44])/264 - (49519*s[45])/33 + (1176613*s[46])/132 - 
       (54037*s[47])/792 - (332623*s[48])/792 + (2662543*s[49])/792 - 
       (217859*s[50])/33 - (394051*s[51])/792 - (371219*s[52])/792 + 
       (697201*s[53])/132 - (33581*s[54])/66 + (27170591*s[55])/792 + 
       (7217333*s[56])/792 + (523037*s[57])/1188 + (85445035*s[58])/7128 - 
       (91736989*s[59])/7128 - (342765541*s[60])/4752 + 
       (300091699*s[61])/64152 - 2*s[64] - 2*s[65] - 6*s[66] + 16*s[67] + 
       3*s[68] + 25*s[69] + 3*s[70] + 7*s[71] + 2*s[72] - 50*s[73] - 
       (19*s[74])/2 - (3*s[75])/2 + 14*s[76] - 26*s[77] - 8*s[78] + 
       180*s[79] - (334*s[80])/3 + 157*s[82] - (21*s[83])/2 + 3*s[84] - 
       24*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w]*(28*s[2] - (337*s[3])/4 + (3329*s[4])/8 + 
       (7787*s[5])/44 + (161845*s[6])/264 + (6882553*s[7])/1584 - 
       (1033709*s[8])/2376 - (400823*s[9])/108 - (33737*s[10])/54 - 
       (7873241*s[11])/1584 - (4488431*s[12])/792 - (5875981*s[13])/1584 + 
       (197557*s[14])/1584 - (744847*s[15])/144 - (2734675*s[16])/396 - 
       (812875*s[17])/176 - (246139*s[18])/324 - (216397*s[19])/648 - 
       (53253733*s[20])/7128 - (39089489*s[21])/14256 + 
       (33509869*s[22])/14256 + (6159247*s[23])/792 + (28369577*s[24])/7128 - 
       (212699477*s[25])/32076 + (108561899*s[26])/32076 + s[30] + 20*s[31] + 
       (49*s[33])/2 - 37*s[34] + 5*s[35] - (124*s[36])/3 + (107*s[37])/2 + 
       (1493*s[38])/6 - (7507*s[39])/6 + (2753*s[40])/2 - (4605*s[41])/4 + 
       (7765*s[42])/4 + (63307*s[43])/66 - (296663*s[44])/264 + 
       (91855*s[45])/132 - (1018621*s[46])/132 + (229123*s[47])/396 - 
       (70847*s[48])/396 - (1781209*s[49])/396 + (389987*s[50])/66 + 
       (128605*s[51])/99 + (791011*s[52])/792 - (1581133*s[53])/396 + 
       (12433*s[54])/44 - (2388095*s[55])/99 - (2616037*s[56])/396 + 
       (3481030*s[57])/297 - (23247457*s[58])/1782 + (46995287*s[59])/3564 + 
       (72213131*s[60])/1188 - (191460151*s[61])/64152 - 2*s[65] - 8*s[66] + 
       16*s[67] + 10*s[68] + 28*s[69] - 2*s[70] + 2*s[71] + 14*s[72] - 
       30*s[73] - (23*s[74])/2 + (23*s[75])/2 - 12*s[76] - 13*s[77] + 
       28*s[78] + 132*s[79] - 35*s[80] - 113*s[82] + 6*s[83] + 36*s[84] - 
       24*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - v]*(-s[2]/2 + (853*s[3])/12 + (2063*s[4])/8 - 
       (53165*s[5])/132 - (29849*s[6])/264 - (1106981*s[7])/528 - 
       (383615*s[8])/7128 + (621295*s[9])/324 + (118463*s[10])/81 + 
       (7952941*s[11])/4752 + (1358023*s[12])/2376 - (859751*s[13])/4752 + 
       (9718483*s[14])/4752 + (2140139*s[15])/432 + (1460746*s[16])/297 + 
       (33379411*s[17])/4752 + (214517*s[18])/972 + (1809413*s[19])/1944 + 
       (128258879*s[20])/21384 + (120583861*s[21])/42768 - 
       (46026833*s[22])/42768 + (5901875*s[23])/2376 - 
       (64385113*s[24])/21384 + (107508817*s[25])/96228 - 
       (70582055*s[26])/48114 + 7*s[28] + 6*s[29] + (5*s[30])/3 - 
       (8*s[31])/3 + (35*s[32])/2 + (25*s[33])/3 + 14*s[34] + (31*s[35])/3 + 
       (349*s[36])/9 + (161*s[37])/6 + (583*s[38])/3 - (1319*s[39])/12 + 
       (8429*s[40])/36 - (507*s[41])/4 + (229*s[42])/36 + 
       (173719*s[43])/396 - (75599*s[44])/792 + (34927*s[45])/132 - 
       (92458*s[46])/99 - (437753*s[47])/2376 + (1598941*s[48])/2376 - 
       (1389529*s[49])/2376 - (14126*s[50])/99 + (110309*s[51])/2376 + 
       (757217*s[52])/2376 + (396169*s[53])/1188 + (214897*s[54])/198 + 
       (29401*s[55])/264 - (4104055*s[56])/2376 + (16959491*s[57])/3564 - 
       (65213327*s[58])/21384 + (47889461*s[59])/21384 + 
       (111312637*s[60])/14256 - (57987443*s[61])/192456 - 4*s[63] - s[64] + 
       (29*s[65])/3 + (86*s[66])/3 - (128*s[67])/3 + (4*s[68])/3 - 
       (212*s[69])/3 + (76*s[70])/3 - (38*s[71])/3 - (86*s[72])/3 + 
       (112*s[73])/3 + 19*s[74] - (41*s[75])/2 - (52*s[76])/3 + 
       (37*s[77])/3 - (152*s[78])/3 + 94*s[79] + 37*s[80] - 644*s[82] - 
       (43*s[83])/2 + 37*s[84] - 24*s[85]) + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*(3*s[2] - 48*s[3] + 
       (615*s[4])/2 - (14801*s[5])/88 + (32665*s[6])/264 + 
       (1346801*s[7])/792 - (688783*s[8])/2376 - (307667*s[9])/216 - 
       (7567*s[10])/216 - (1827587*s[11])/792 - (2658145*s[12])/792 - 
       (305935*s[13])/132 + (416411*s[14])/396 - (11407*s[15])/18 - 
       (526753*s[16])/264 + (241891*s[17])/396 - (136477*s[18])/648 - 
       (17915*s[19])/162 - (7511539*s[20])/3564 - (93779*s[21])/7128 + 
       (881063*s[22])/891 + (1012193*s[23])/264 + (11969467*s[24])/7128 - 
       (471523999*s[25])/128304 + (146181811*s[26])/128304 - s[30] - 
       2*s[31] + s[32]/2 + (23*s[33])/4 + 7*s[34] + 10*s[35] + (38*s[36])/3 - 
       (103*s[37])/12 + (447*s[38])/2 - 711*s[39] + (2665*s[40])/3 - 
       (2773*s[41])/4 + (11759*s[42])/12 + (22217*s[43])/33 - 
       (207217*s[44])/264 + (38215*s[45])/88 - (1172155*s[46])/264 + 
       (23125*s[47])/264 + (34651*s[48])/88 - (259933*s[49])/88 + 
       (109543*s[50])/33 + (637585*s[51])/792 + (187967*s[52])/264 - 
       (1407547*s[53])/792 + (14973*s[54])/44 - (1014635*s[55])/88 - 
       (2678717*s[56])/792 + (4267487*s[57])/594 - (6754646*s[58])/891 + 
       (49230655*s[59])/7128 + (30118537*s[60])/792 - 
       (180525635*s[61])/128304 + 2*s[65] + 8*s[66] - 14*s[67] - 8*s[68] - 
       20*s[69] - 2*s[70] - (3*s[71])/2 - 10*s[72] + 6*s[73] - 5*s[74] - 
       6*s[75] - 10*s[76] + 16*s[77] - 20*s[78] + 202*s[79] - (103*s[80])/2 - 
       383*s[82] - (39*s[83])/2 + 129*s[84] - 24*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*
      ((-307*s[2])/96 - (2387*s[3])/192 - (176873*s[4])/1152 - 
       (448091*s[5])/3168 - (1370293*s[6])/4224 - (216169937*s[7])/76032 + 
       (24365647*s[8])/114048 + (6229079*s[9])/2592 + (4189601*s[10])/5184 + 
       (235778491*s[11])/76032 + (3952913*s[12])/1188 + 
       (150757097*s[13])/76032 + (36717295*s[14])/76032 + 
       (26773463*s[15])/6912 + (92560421*s[16])/19008 + 
       (32921813*s[17])/8448 + (8211533*s[18])/15552 + 
       (13997765*s[19])/31104 + (1977845993*s[20])/342144 + 
       (1460309437*s[21])/684288 - (1018556177*s[22])/684288 - 
       (56275339*s[23])/19008 - (542435213*s[24])/171072 + 
       (11967498359*s[25])/3079296 - (6745863131*s[26])/3079296 + s[30]/12 - 
       (13*s[31])/24 - s[32]/3 + (119*s[33])/192 + (5*s[34])/12 + 
       (65*s[35])/48 + (431*s[36])/72 + (353*s[37])/288 - (1621*s[38])/18 + 
       (69341*s[39])/192 - (233167*s[40])/576 + (185981*s[41])/576 - 
       (98581*s[42])/192 - (738547*s[43])/2112 + (4606535*s[44])/12672 - 
       (2692037*s[45])/6336 + (10130281*s[46])/3168 - (1089311*s[47])/12672 - 
       (1576589*s[48])/12672 + (20518177*s[49])/12672 - 
       (7925125*s[50])/3168 - (13334203*s[51])/38016 - (1118861*s[52])/4224 + 
       (3675865*s[53])/2112 + (70063*s[54])/1584 + (140648713*s[55])/12672 + 
       (35662043*s[56])/12672 - (18178033*s[57])/9504 + 
       (537095705*s[58])/114048 - (550980599*s[59])/114048 - 
       (2030718785*s[60])/76032 + (1463103617*s[61])/1026432 + s[65]/6 + 
       (2*s[66])/3 - (4*s[67])/3 - s[68]/3 - (7*s[69])/3 - (4*s[70])/3 + 
       s[71]/48 - (35*s[72])/24 + (3*s[73])/8 + (45*s[74])/32 - 
       (45*s[75])/32 + (7*s[76])/24 + (89*s[77])/48 - (35*s[78])/24 - 
       (269*s[79])/12 + (857*s[80])/144 - (387*s[82])/4 - s[83]/2 - 
       (45*s[84])/4 - 23*s[85]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]*((11*s[2])/96 - (2309*s[3])/192 - (25217*s[4])/384 - 
       (281315*s[5])/3168 - (2254093*s[6])/12672 - (116370473*s[7])/76032 + 
       (11646851*s[8])/114048 + (6706907*s[9])/5184 + (623545*s[10])/1296 + 
       (124419851*s[11])/76032 + (32273563*s[12])/19008 + 
       (8435717*s[13])/8448 + (27277259*s[14])/76032 + 
       (15133999*s[15])/6912 + (1889933*s[16])/704 + (174081541*s[17])/
        76032 + (1075843*s[18])/3888 + (8484667*s[19])/31104 + 
       (1100522449*s[20])/342144 + (832287629*s[21])/684288 - 
       (543686893*s[22])/684288 - (8388911*s[23])/6336 - 
       (304541569*s[24])/171072 + (6186775777*s[25])/3079296 - 
       (3637460599*s[26])/3079296 - (5*s[30])/24 + (17*s[31])/24 - 
       (13*s[32])/24 + (277*s[33])/192 - (29*s[34])/12 + s[35]/48 + 
       (25*s[36])/9 + (43*s[37])/9 - (1555*s[38])/48 + (80687*s[39])/576 - 
       (31589*s[40])/192 + (75707*s[41])/576 - (112519*s[42])/576 - 
       (31753*s[43])/192 + (46985*s[44])/288 - (72343*s[45])/288 + 
       (961003*s[46])/576 - (737*s[47])/144 - (59597*s[48])/576 + 
       (12313*s[49])/16 - (42461*s[50])/32 - (213679*s[51])/1728 - 
       (16987*s[52])/192 + (831245*s[53])/864 + (4649*s[54])/72 + 
       (10800119*s[55])/1728 + (333109*s[56])/216 - (707333*s[57])/5184 + 
       (17441789*s[58])/7776 - (36930961*s[59])/15552 - (4125701*s[60])/288 + 
       (224252555*s[61])/279936 + s[65]/24 + s[66]/6 - s[67]/3 - s[68]/12 - 
       (7*s[69])/12 - (13*s[70])/12 - s[71]/24 - (13*s[72])/24 - s[73]/24 + 
       (5*s[74])/96 - (5*s[75])/96 - (9*s[76])/8 + (43*s[77])/48 + 
       (13*s[78])/24 - 9*s[79] + (49*s[80])/12 - (443*s[82])/4 - s[83]/8 - 
       (9*s[84])/2 - 23*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - w]*((-217*s[2])/24 - 14*s[3] - (6277*s[4])/24 - 
       (112537*s[5])/528 - (276193*s[6])/528 - (14400409*s[7])/3168 + 
       (551105*s[8])/1584 + (555619*s[9])/144 + (169667*s[10])/144 + 
       (1765459*s[11])/352 + (1451449*s[12])/264 + (10616009*s[13])/3168 + 
       (617471*s[14])/1056 + (1709755*s[15])/288 + (6037961*s[16])/792 + 
       (18361435*s[17])/3168 + (63499*s[18])/72 + (29191*s[19])/48 + 
       (14310925*s[20])/1584 + (31815697*s[21])/9504 - 
       (22806325*s[22])/9504 - (1044709*s[23])/198 - (11617807*s[24])/2376 + 
       (136046239*s[25])/21384 - (151616255*s[26])/42768 + (7*s[30])/12 - 
       (11*s[31])/3 + (31*s[32])/12 - (5*s[33])/2 + (27*s[34])/4 - 
       (11*s[35])/6 + (527*s[36])/24 + (37*s[37])/48 - (1371*s[38])/8 + 
       (63649*s[39])/96 - (23919*s[40])/32 + (57329*s[41])/96 - 
       (89923*s[42])/96 - (689279*s[43])/1056 + (1389077*s[44])/2112 - 
       (862333*s[45])/1056 + (1560619*s[46])/264 - (919451*s[47])/6336 - 
       (1593641*s[48])/6336 + (18616613*s[49])/6336 - (400427*s[50])/88 - 
       (1296287*s[51])/2112 - (3292423*s[52])/6336 + (2513579*s[53])/792 + 
       (3733*s[54])/88 + (128820425*s[55])/6336 + (11181497*s[56])/2112 - 
       (705109*s[57])/176 + (169469617*s[58])/19008 - 
       (172359397*s[59])/19008 - (1858290497*s[60])/38016 + 
       (228399997*s[61])/85536 + s[65]/4 + s[66] - (5*s[67])/2 + 
       (5*s[68])/4 - (19*s[69])/4 + s[70]/2 + (5*s[71])/4 - (5*s[72])/2 - 
       (9*s[73])/2 + (71*s[74])/24 - (71*s[75])/24 - s[76]/12 + 
       (11*s[77])/12 - 2*s[78] - (33*s[79])/2 - (229*s[80])/24 - 65*s[82] - 
       (3*s[83])/4 - (39*s[84])/2 - 22*s[85]) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*((-39*s[2])/8 + (341*s[3])/16 - 
       (821*s[4])/96 - (3601*s[5])/132 - (304877*s[6])/3168 - 
       (12486109*s[7])/19008 + (917711*s[8])/28512 + (378811*s[9])/648 + 
       (134783*s[10])/648 + (13633709*s[11])/19008 + (3584719*s[12])/4752 + 
       (8987875*s[13])/19008 + (3728237*s[14])/19008 + (468029*s[15])/576 + 
       (10407659*s[16])/9504 + (5586901*s[17])/6336 + (529339*s[18])/3888 + 
       (494809*s[19])/7776 + (115111279*s[20])/85536 + 
       (90984635*s[21])/171072 - (62074291*s[22])/171072 - 
       (3958507*s[23])/9504 - (59513693*s[24])/85536 + 
       (81656945*s[25])/96228 - (12312668*s[26])/24057 + s[29]/4 + s[30] - 
       (7*s[31])/4 - s[32]/4 - (7*s[33])/2 + (11*s[34])/2 - (13*s[35])/4 + 
       (25*s[36])/12 + (407*s[37])/72 - (239*s[38])/36 + (5209*s[39])/72 - 
       (6061*s[40])/72 + (3137*s[41])/36 - (2855*s[42])/24 - 
       (15131*s[43])/264 + (12707*s[44])/176 - (41089*s[45])/528 + 
       (1103467*s[46])/1584 - (115261*s[47])/4752 - (166675*s[48])/4752 + 
       (1316665*s[49])/4752 - (144277*s[50])/264 - (16729*s[51])/176 - 
       (297725*s[52])/4752 + (1691165*s[53])/4752 - (4799*s[54])/99 + 
       (5237989*s[55])/2376 + (369815*s[56])/528 - (2018507*s[57])/2376 + 
       (16585735*s[58])/14256 - (7646669*s[59])/7128 - 
       (76602029*s[60])/14256 + (31123601*s[61])/85536 + s[65]/4 + 
       (7*s[66])/4 - (5*s[67])/2 + s[68]/4 - (23*s[69])/4 + s[70]/2 - 
       s[71]/4 - (3*s[72])/2 + (5*s[73])/2 + (7*s[74])/8 - (7*s[75])/8 + 
       (11*s[77])/4 - 2*s[78] - 6*s[79] + (29*s[80])/12 - (242*s[82])/3 - 
       (3*s[83])/4 + (3*s[84])/2 - 22*s[85]) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]*((-17*s[2])/8 + (275*s[3])/16 + 
       (2075*s[4])/32 - (14995*s[5])/528 - (148925*s[6])/3168 - 
       (2818021*s[7])/19008 - (1265947*s[8])/28512 + (110923*s[9])/648 + 
       (106805*s[10])/648 + (1918187*s[11])/19008 - (66827*s[12])/4752 - 
       (432071*s[13])/19008 + (7867007*s[14])/19008 + (48775*s[15])/192 + 
       (764645*s[16])/2376 + (3387875*s[17])/6336 + (88043*s[18])/1944 + 
       (116653*s[19])/7776 + (52050373*s[20])/85536 + 
       (53588405*s[21])/171072 - (14968333*s[22])/171072 + 
       (2008691*s[23])/2376 - (2779201*s[24])/10692 - 
       (10093667*s[25])/192456 - (23326429*s[26])/192456 - s[29]/4 + 
       s[30]/2 - s[31]/4 + (5*s[32])/4 - s[34] - (15*s[35])/4 + 
       (11*s[36])/12 + (1187*s[37])/72 + (1099*s[38])/36 - 
       (12403*s[39])/144 + (10795*s[40])/144 - (5641*s[41])/144 + 
       (5675*s[42])/48 + (9345*s[43])/176 - (22075*s[44])/528 + 
       (205*s[45])/132 - (260747*s[46])/1584 + (289937*s[47])/4752 - 
       (206201*s[48])/2376 - (543613*s[49])/2376 + (22975*s[50])/264 + 
       (87841*s[51])/1584 + (131573*s[52])/2376 - (97369*s[53])/1188 - 
       (10441*s[54])/198 - (420457*s[55])/1188 + (779*s[56])/198 + 
       (2370791*s[57])/2376 - (268981*s[58])/594 + (2667013*s[59])/4752 + 
       (15247075*s[60])/14256 + (11948599*s[61])/256608 + s[65]/4 + 
       (3*s[66])/4 - (3*s[67])/2 + (7*s[68])/4 - (19*s[69])/4 + s[70]/2 - 
       s[71]/4 - s[72]/2 + (3*s[73])/2 + s[74]/8 - s[75]/8 - 5*s[76] + 
       (15*s[77])/4 + (113*s[80])/12 - (188*s[82])/3 - (3*s[83])/4 + 
       (3*s[84])/2 - 22*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - u]*((77*s[2])/24 + (1945*s[3])/48 + (5611*s[4])/32 - 
       (63629*s[5])/528 - (7013*s[6])/132 - (58807*s[7])/2112 - 
       (519205*s[8])/4752 + (131621*s[9])/864 + (88355*s[10])/432 - 
       (403621*s[11])/3168 - (2780407*s[12])/6336 - (2569103*s[13])/6336 + 
       (5673355*s[14])/6336 + (222499*s[15])/576 + (797327*s[16])/3168 + 
       (1406551*s[17])/1584 + (311647*s[18])/2592 - (128939*s[19])/1296 + 
       (26091383*s[20])/28512 + (39651973*s[21])/57024 - 
       (1876451*s[22])/57024 + (9897655*s[23])/6336 - (7529201*s[24])/57024 - 
       (320169875*s[25])/513216 - (70943305*s[26])/513216 + s[29] - 
       (5*s[30])/12 + (7*s[31])/3 - (13*s[32])/24 + (33*s[33])/8 - 
       (15*s[34])/4 - (7*s[35])/12 - (41*s[36])/4 + (19*s[37])/4 + 71*s[38] - 
       (3047*s[39])/16 + (3131*s[40])/16 - (1187*s[41])/8 + (4309*s[42])/16 + 
       (48655*s[43])/528 - (37881*s[44])/352 - (28057*s[45])/264 + 
       (52729*s[46])/528 + (372475*s[47])/3168 - (490343*s[48])/3168 - 
       (1195393*s[49])/3168 - (16169*s[50])/132 + (653933*s[51])/3168 + 
       (618965*s[52])/3168 + (106637*s[53])/528 - (5063*s[54])/132 + 
       (5518511*s[55])/3168 + (1814059*s[56])/3168 + (14065387*s[57])/4752 - 
       (15915409*s[58])/28512 + (14479045*s[59])/28512 - 
       (34037111*s[60])/19008 + (3115735*s[61])/8019 + (3*s[65])/4 - 
       (3*s[67])/2 - 3*s[68] - (5*s[69])/4 - 3*s[70] - (11*s[71])/4 - 
       (3*s[72])/2 + 3*s[73] - (61*s[74])/24 + (61*s[75])/24 - 
       (55*s[76])/12 + (5*s[77])/12 - (3*s[78])/2 + 13*s[79] + 
       (271*s[80])/12 - 264*s[82] - (3*s[83])/4 + (57*s[84])/2 - 22*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((-109*s[2])/16 - (1435*s[3])/288 - (73729*s[4])/192 - 
       (220051*s[5])/792 - (4018505*s[6])/6336 - (234372685*s[7])/38016 + 
       (89644937*s[8])/171072 + (40603121*s[9])/7776 + (769459*s[10])/486 + 
       (770417339*s[11])/114048 + (211104613*s[12])/28512 + 
       (503336333*s[13])/114048 + (75621935*s[14])/114048 + 
       (85522429*s[15])/10368 + (590658037*s[16])/57024 + 
       (901094081*s[17])/114048 + (13504163*s[18])/11664 + 
       (40084645*s[19])/46656 + (6282525571*s[20])/513216 + 
       (4549989725*s[21])/1026432 - (3334581565*s[22])/1026432 - 
       (429839363*s[23])/57024 - (3412657163*s[24])/513216 + 
       (19921427267*s[25])/2309472 - (10926647663*s[26])/2309472 - 
       (41*s[30])/18 - (125*s[31])/36 - s[32]/6 - (1135*s[33])/288 + 
       (77*s[34])/12 + (491*s[35])/72 + (4079*s[36])/216 - (1015*s[37])/144 - 
       (16331*s[38])/72 + (7307*s[39])/8 - (110233*s[40])/108 + 
       (58933*s[41])/72 - (572105*s[42])/432 - (1986775*s[43])/2376 + 
       (16538309*s[44])/19008 - (2962159*s[45])/3168 + 
       (70274359*s[46])/9504 - (14785543*s[47])/57024 - 
       (8760271*s[48])/57024 + (215497885*s[49])/57024 - 
       (27341189*s[50])/4752 - (51721583*s[51])/57024 - 
       (40250429*s[52])/57024 + (114934145*s[53])/28512 - 
       (248837*s[54])/2376 + (485948447*s[55])/19008 + 
       (375136651*s[56])/57024 - (60008887*s[57])/10692 + 
       (5755901627*s[58])/513216 - (5927473919*s[59])/513216 - 
       (20898981649*s[60])/342144 + (1847371813*s[61])/577368 - 
       (5*s[65])/18 - (10*s[66])/9 + (25*s[67])/9 + (47*s[68])/18 + 
       (53*s[69])/18 + (35*s[70])/18 + (25*s[71])/36 - (95*s[72])/36 - 
       (155*s[73])/36 + (179*s[74])/48 - (179*s[75])/48 + (173*s[76])/36 - 
       (37*s[77])/72 - (125*s[78])/36 - (475*s[79])/6 + (239*s[80])/24 - 
       (191*s[82])/3 + (5*s[83])/6 - (235*s[84])/6 - (65*s[85])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((-319*s[2])/48 + (71*s[3])/288 - (47419*s[4])/192 - (21002*s[5])/99 - 
       (3059795*s[6])/6336 - (168483685*s[7])/38016 + 
       (57112073*s[8])/171072 + (14648635*s[9])/3888 + (9465523*s[10])/7776 + 
       (555161327*s[11])/114048 + (37602013*s[12])/7128 + 
       (361230125*s[13])/114048 + (72075551*s[14])/114048 + 
       (61570357*s[15])/10368 + (428195767*s[16])/57024 + 
       (667710413*s[17])/114048 + (18923425*s[18])/23328 + 
       (31831687*s[19])/46656 + (4564122655*s[20])/513216 + 
       (3357344801*s[21])/1026432 - (2402544685*s[22])/1026432 - 
       (275192573*s[23])/57024 - (2513428493*s[24])/513216 + 
       (7087620415*s[25])/1154736 - (7887751307*s[26])/2309472 - 
       (31*s[30])/36 - (95*s[31])/36 + (35*s[32])/24 - (505*s[33])/288 + 
       (25*s[34])/6 + (155*s[35])/72 + (1237*s[36])/108 - (317*s[37])/36 - 
       (11987*s[38])/72 + (62975*s[39])/96 - (629591*s[40])/864 + 
       (168205*s[41])/288 - (803401*s[42])/864 - (5862001*s[43])/9504 + 
       (12216569*s[44])/19008 - (121245*s[45])/176 + (51462757*s[46])/9504 - 
       (9045535*s[47])/57024 - (10857697*s[48])/57024 + 
       (164047885*s[49])/57024 - (20082713*s[50])/4752 - 
       (35391053*s[51])/57024 - (27564719*s[52])/57024 + 
       (83239169*s[53])/28512 + (358595*s[54])/4752 + 
       (352290221*s[55])/19008 + (264976531*s[56])/57024 - 
       (321040847*s[57])/85536 + (4139999087*s[58])/513216 - 
       (4261427465*s[59])/513216 - (15460594987*s[60])/342144 + 
       (10656153185*s[61])/4618944 + (5*s[65])/36 + (5*s[66])/9 - 
       (5*s[67])/9 + (17*s[68])/18 - (37*s[69])/18 + (5*s[70])/18 + 
       (13*s[71])/36 - (95*s[72])/36 - (11*s[73])/36 + (45*s[74])/16 - 
       (45*s[75])/16 + (125*s[76])/36 + (143*s[77])/72 - (155*s[78])/36 - 
       (137*s[79])/3 + (67*s[80])/9 - (416*s[82])/3 - (5*s[83])/12 - 
       (65*s[84])/3 - (65*s[85])/3) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      M1[w, v, u]*(-s[2] + (55*s[3])/12 + (391*s[4])/24 - (4985*s[5])/132 - 
       (4061*s[6])/88 - (755369*s[7])/1584 + (17519*s[8])/2376 + 
       (11576*s[9])/27 + (24391*s[10])/108 + (752747*s[11])/1584 + 
       (337211*s[12])/792 + (39307*s[13])/176 + (441989*s[14])/1584 + 
       (12127*s[15])/16 + (236309*s[16])/264 + (1433725*s[17])/1584 + 
       (26149*s[18])/324 + (70801*s[19])/648 + (8416225*s[20])/7128 + 
       (6610799*s[21])/14256 - (3646843*s[22])/14256 + (2741*s[23])/33 - 
       (2263483*s[24])/3564 + (8058343*s[25])/16038 - 
       (11346155*s[26])/32076 + s[30] + s[32]/3 - s[34] - 4*s[35] - 
       (7*s[36])/3 + (19*s[37])/3 + (19*s[38])/3 - (191*s[39])/12 + 
       (21*s[40])/4 + (3*s[41])/4 + (113*s[42])/4 - (3659*s[43])/132 + 
       (6673*s[44])/264 - (1073*s[45])/11 + (20695*s[46])/44 + 
       (13265*s[47])/264 - (9299*s[48])/88 + (40373*s[49])/264 - 
       (14056*s[50])/33 + (5111*s[51])/264 + (9431*s[52])/264 + 
       (123449*s[53])/396 + (2678*s[54])/33 + (1713125*s[55])/792 + 
       (378773*s[56])/792 + (592609*s[57])/594 + (2534161*s[58])/7128 - 
       (3024751*s[59])/7128 - (7357499*s[60])/1584 + (17624791*s[61])/64152 + 
       (5*s[68])/3 - (5*s[69])/3 - s[74]/2 + s[75]/2 - 2*s[76] + 
       (5*s[77])/3 + 2*s[78] - 4*s[79] + (14*s[80])/3 - 107*s[82] - 
       20*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*M1[u, v, w]*
      ((-2*s[2])/3 + (14*s[3])/3 + (41*s[4])/4 - (8677*s[5])/264 - 
       (6461*s[6])/132 - (144328*s[7])/297 + (46115*s[8])/3564 + 
       (69833*s[9])/162 + (143659*s[10])/648 + (2341297*s[11])/4752 + 
       (2160173*s[12])/4752 + (196847*s[13])/792 + (591851*s[14])/2376 + 
       (54721*s[15])/72 + (714313*s[16])/792 + (4219661*s[17])/4752 + 
       (122305*s[18])/1944 + (31537*s[19])/243 + (12439699*s[20])/10692 + 
       (9229775*s[21])/21384 - (693149*s[22])/2673 + (157483*s[23])/1584 - 
       (28523153*s[24])/42768 + (106295147*s[25])/192456 - 
       (17035967*s[26])/48114 + (2*s[30])/3 + s[32]/2 - (2*s[34])/3 - 
       (8*s[35])/3 - (14*s[36])/9 + (115*s[37])/18 + (9*s[38])/2 - 
       (115*s[39])/8 + (283*s[40])/72 + (15*s[41])/8 + (2195*s[42])/72 - 
       (25495*s[43])/792 + (47363*s[44])/1584 - (83951*s[45])/792 + 
       (22303*s[46])/44 + (243623*s[47])/4752 - (513199*s[48])/4752 + 
       (818173*s[49])/4752 - (89467*s[50])/198 + (64759*s[51])/4752 + 
       (163447*s[52])/4752 + (43657*s[53])/132 + (3519*s[54])/44 + 
       (3647093*s[55])/1584 + (2313863*s[56])/4752 + (975928*s[57])/891 + 
       (15888163*s[58])/42768 - (18929155*s[59])/42768 - 
       (142906981*s[60])/28512 + (54380681*s[61])/192456 + (5*s[68])/3 - 
       (5*s[69])/3 - s[74]/3 + s[75]/3 - (4*s[76])/3 + (5*s[77])/3 + 
       (4*s[78])/3 - (8*s[79])/3 + (28*s[80])/9 - 98*s[82] - 20*s[85]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-67*s[2])/12 - (232*s[3])/9 - (18053*s[4])/48 - (400871*s[5])/1584 - 
       (257369*s[6])/396 - (36591493*s[7])/6336 + (13529113*s[8])/28512 + 
       (12581711*s[9])/2592 + (3840571*s[10])/2592 + (60695225*s[11])/9504 + 
       (66831187*s[12])/9504 + (10109375*s[13])/2376 + (5808881*s[14])/9504 + 
       (486465*s[15])/64 + (184582213*s[16])/19008 + (2185819*s[17])/297 + 
       (8313319*s[18])/7776 + (1650857*s[19])/1944 + (972087893*s[20])/
        85536 + (352027397*s[21])/85536 - (64825021*s[22])/21384 - 
       (133288691*s[23])/19008 - (1072442099*s[24])/171072 + 
       (12593232145*s[25])/1539648 - (6859923229*s[26])/1539648 + s[30]/4 - 
       (11*s[31])/6 + (3*s[32])/4 - s[33]/16 + (9*s[34])/4 + 4*s[35] + 
       (539*s[36])/36 - (625*s[37])/36 - (7645*s[38])/36 + (40489*s[39])/48 - 
       (135199*s[40])/144 + (104765*s[41])/144 - (174013*s[42])/144 - 
       (379655*s[43])/528 + (540383*s[44])/704 - (210509*s[45])/264 + 
       (10045081*s[46])/1584 - (5584877*s[47])/19008 - 
       (1207361*s[48])/19008 + (62437367*s[49])/19008 - (425143*s[50])/88 - 
       (15566621*s[51])/19008 - (13018243*s[52])/19008 + 
       (10507939*s[53])/3168 - (167237*s[54])/1584 + (398830691*s[55])/
        19008 + (106570801*s[56])/19008 - (95518729*s[57])/14256 + 
       (1739595089*s[58])/171072 - (1750686437*s[59])/171072 - 
       (5875496369*s[60])/114048 + (2101688869*s[61])/769824 + s[65]/12 + 
       s[66]/3 - (2*s[67])/3 - (2*s[68])/3 + s[69]/3 - (2*s[70])/3 + 
       (5*s[71])/12 - 3*s[72] + (4*s[73])/3 + (23*s[74])/6 - (23*s[75])/6 + 
       (11*s[76])/3 - (25*s[78])/6 - (212*s[79])/3 + (131*s[80])/9 - 
       (152*s[82])/3 - s[83]/4 - (69*s[84])/2 - 20*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Omega2[v, w, u]*
      ((-43*s[2])/4 - (233*s[3])/24 - (6191*s[4])/16 - (39757*s[5])/132 - 
       (386063*s[6])/528 - (20597717*s[7])/3168 + (7673773*s[8])/14256 + 
       (1781627*s[9])/324 + (1084013*s[10])/648 + (67873189*s[11])/9504 + 
       (18565541*s[12])/2376 + (44444779*s[13])/9504 + (8022337*s[14])/9504 + 
       (7457153*s[15])/864 + (26031259*s[16])/2376 + (80018419*s[17])/9504 + 
       (1203133*s[18])/972 + (3405101*s[19])/3888 + (554321045*s[20])/42768 + 
       (405431263*s[21])/85536 - (293072699*s[22])/85536 - 
       (18575495*s[23])/2376 - (74593561*s[24])/10692 + 
       (3492900773*s[25])/384912 - (1933666289*s[26])/384912 - (5*s[30])/3 - 
       (19*s[31])/3 + (5*s[32])/2 - (143*s[33])/24 + 9*s[34] + (19*s[35])/6 + 
       (349*s[36])/18 - (121*s[37])/4 - (1319*s[38])/6 + (11201*s[39])/12 - 
       (37397*s[40])/36 + (1603*s[41])/2 - (49075*s[42])/36 - 
       (311809*s[43])/396 + (1358407*s[44])/1584 - (78825*s[45])/88 + 
       (5665697*s[46])/792 - (1653257*s[47])/4752 - (168389*s[48])/4752 + 
       (17131139*s[49])/4752 - (1078817*s[50])/198 - (4364221*s[51])/4752 - 
       (3539059*s[52])/4752 + (4513853*s[53])/1188 - (21539*s[54])/99 + 
       (4218499*s[55])/176 + (30705341*s[56])/4752 - (52165417*s[57])/7128 + 
       (487959517*s[58])/42768 - (492449743*s[59])/42768 - 
       (1650397403*s[60])/28512 + (1203724279*s[61])/384912 + s[65]/3 + 
       (4*s[66])/3 - (4*s[67])/3 - (7*s[68])/3 - s[69]/3 + (5*s[70])/3 - 
       s[71]/3 - (13*s[72])/3 + (5*s[73])/3 + (19*s[74])/4 - (19*s[75])/4 + 
       (31*s[76])/3 - (5*s[77])/6 - (31*s[78])/3 - 80*s[79] + (97*s[80])/6 - 
       143*s[82] - s[83] - 34*s[84] - 20*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Omega2[u, v, w]*
      ((-25*s[2])/2 - (241*s[3])/12 - 402*s[4] - (91307*s[5])/264 - 
       (220621*s[6])/264 - (11625659*s[7])/1584 + (4060541*s[8])/7128 + 
       (1005199*s[9])/162 + (1296287*s[10])/648 + (38159741*s[11])/4752 + 
       (20678453*s[12])/2376 + (24728189*s[13])/4752 + (5471945*s[14])/4752 + 
       (4252951*s[15])/432 + (29632837*s[16])/2376 + (46519727*s[17])/4752 + 
       (664391*s[18])/486 + (2103991*s[19])/1944 + (316773577*s[20])/21384 + 
       (231869669*s[21])/42768 - (164917747*s[22])/42768 - 
       (19091975*s[23])/2376 - (172477403*s[24])/21384 + 
       (974881811*s[25])/96228 - (544089701*s[26])/96228 - s[30]/6 - 
       (13*s[31])/3 + 3*s[32] - (11*s[33])/24 + (13*s[34])/2 + (11*s[35])/3 + 
       (146*s[36])/9 - (161*s[37])/6 - (667*s[38])/3 + (5617*s[39])/6 - 
       (18889*s[40])/18 + (1629*s[41])/2 - (12214*s[42])/9 - 
       (162671*s[43])/198 + (704699*s[44])/792 - (126475*s[45])/132 + 
       (2973073*s[46])/396 - (739663*s[47])/2376 - (295219*s[48])/2376 + 
       (8955037*s[49])/2376 - (569011*s[50])/99 - (2182415*s[51])/2376 - 
       (1744607*s[52])/2376 + (2376289*s[53])/594 - (32773*s[54])/198 + 
       (6697435*s[55])/264 + (16045003*s[56])/2376 - (5978873*s[57])/891 + 
       (250139099*s[58])/21384 - (252957017*s[59])/21384 - 
       (873731293*s[60])/14256 + (634871027*s[61])/192456 + s[65]/3 + 
       (4*s[66])/3 - (4*s[67])/3 - (4*s[68])/3 - (4*s[69])/3 + (2*s[70])/3 - 
       s[71]/3 - (10*s[72])/3 + (2*s[73])/3 + (9*s[74])/2 - (9*s[75])/2 + 
       (16*s[76])/3 - (4*s[77])/3 - (22*s[78])/3 - 84*s[79] + 23*s[80] - 
       143*s[82] - s[83] - 34*s[84] - 20*s[85]) + HPL[{0, 1}, 1 - w]*
      Nt[u, v, w]*((-37*s[2])/6 - (35*s[3])/2 - (1229*s[4])/4 - 
       (64375*s[5])/264 - (77731*s[6])/132 - (3109621*s[7])/594 + 
       (749381*s[8])/1782 + (1433201*s[9])/324 + (893987*s[10])/648 + 
       (27307079*s[11])/4752 + (29793769*s[12])/4752 + (41288*s[13])/11 + 
       (1699891*s[14])/2376 + (501215*s[15])/72 + (3501719*s[16])/396 + 
       (32538343*s[17])/4752 + (240601*s[18])/243 + (1450189*s[19])/1944 + 
       (223710331*s[20])/21384 + (10235750*s[21])/2673 - 
       (58789769*s[22])/21384 - (1073647*s[23])/176 - 
       (242482291*s[24])/42768 + (700842443*s[25])/96228 - 
       (777496735*s[26])/192456 - (2*s[30])/3 - (8*s[31])/3 + s[32]/6 - 
       (19*s[33])/12 + (11*s[34])/3 + (8*s[35])/3 + (109*s[36])/9 - 
       (167*s[37])/9 - (1061*s[38])/6 + (8809*s[39])/12 - (29551*s[40])/36 + 
       (1916*s[41])/3 - (38381*s[42])/36 - (22843*s[43])/36 + 
       (24541*s[44])/36 - (13091*s[45])/18 + (206777*s[46])/36 - 
       (55831*s[47])/216 - (15217*s[48])/216 + (627343*s[49])/216 - 
       (79205*s[50])/18 - (157913*s[51])/216 - (31535*s[52])/54 + 
       (82462*s[53])/27 - (4879*s[54])/36 + (1390865*s[55])/72 + 
       (123613*s[56])/24 - (146330*s[57])/27 + (5850919*s[58])/648 - 
       (5907991*s[59])/648 - (60660709*s[60])/1296 + (2442287*s[61])/972 + 
       s[65]/6 + (2*s[66])/3 - (4*s[67])/3 - (4*s[68])/3 - (4*s[69])/3 - 
       s[70]/3 - s[71]/6 - (10*s[72])/3 + 2*s[73] + (7*s[74])/2 - 
       (7*s[75])/2 + (11*s[76])/3 + (2*s[77])/3 - (16*s[78])/3 - 
       (194*s[79])/3 + (164*s[80])/9 - 98*s[82] - s[83]/2 - 27*s[84] - 
       20*s[85]) + HPL[{0, 1}, 1 - u]*Nt[u, v, w]*((-20*s[2])/3 - 
       (181*s[3])/12 - (7111*s[4])/24 - (64249*s[5])/264 - 
       (153799*s[6])/264 - (24471707*s[7])/4752 + (325333*s[8])/792 + 
       (78427*s[9])/18 + (97933*s[10])/72 + (4475299*s[11])/792 + 
       (1084383*s[12])/176 + (17523925*s[13])/4752 + (1158455*s[14])/1584 + 
       (2953715*s[15])/432 + (20643773*s[16])/2376 + (1999469*s[17])/297 + 
       (319117*s[18])/324 + (58364*s[19])/81 + (9190673*s[20])/891 + 
       (53934415*s[21])/14256 - (12858083*s[22])/4752 - 
       (28269671*s[23])/4752 - (26491273*s[24])/4752 + 
       (229290835*s[25])/32076 - (255109661*s[26])/64152 - s[30]/3 - 
       (8*s[31])/3 + (5*s[32])/6 - (11*s[33])/12 + (10*s[34])/3 + 
       (7*s[35])/3 + (106*s[36])/9 - (39*s[37])/2 - (1039*s[38])/6 + 
       (8591*s[39])/12 - (28837*s[40])/36 + 623*s[41] - (37379*s[42])/36 - 
       (245783*s[43])/396 + (263741*s[44])/396 - (94837*s[45])/132 + 
       (558149*s[46])/99 - (599333*s[47])/2376 - (181487*s[48])/2376 + 
       (6725009*s[49])/2376 - (853489*s[50])/198 - (1707247*s[51])/2376 - 
       (340903*s[52])/594 + (3552229*s[53])/1188 - (57679*s[54])/396 + 
       (14996021*s[55])/792 + (12031775*s[56])/2376 - (18876547*s[57])/3564 + 
       (189477979*s[58])/21384 - (190756501*s[59])/21384 - 
       (654288161*s[60])/14256 + (476506879*s[61])/192456 + s[65]/6 + 
       (2*s[66])/3 - (4*s[67])/3 - (4*s[68])/3 - (4*s[69])/3 - s[70]/3 - 
       s[71]/6 - (8*s[72])/3 + (4*s[73])/3 + (10*s[74])/3 - (10*s[75])/3 + 
       3*s[76] + s[77]/3 - (10*s[78])/3 - 62*s[79] + (55*s[80])/3 - 
       98*s[82] - s[83]/2 - 27*s[84] - 20*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-413*s[2])/72 - (1969*s[3])/144 - (8669*s[4])/32 - 
       (259943*s[5])/1056 - (416839*s[6])/792 - (153976829*s[7])/28512 + 
       (33656605*s[8])/85536 + (8892245*s[9])/1944 + (6071459*s[10])/3888 + 
       (339859657*s[11])/57024 + (92768585*s[12])/14256 + 
       (72809725*s[13])/19008 + (42003535*s[14])/57024 + 
       (6238795*s[15])/864 + (175110911*s[16])/19008 + 
       (406838909*s[17])/57024 + (22667953*s[18])/23328 + 
       (5496527*s[19])/5832 + (175169981*s[20])/16038 + 
       (2018928673*s[21])/513216 - (1464720299*s[22])/513216 - 
       (105883535*s[23])/19008 - (3145103129*s[24])/513216 + 
       (8672994679*s[25])/1154736 - (9500909525*s[26])/2309472 - 
       (5*s[30])/18 - (22*s[31])/9 + s[32]/3 + (137*s[33])/72 + 
       (97*s[34])/36 + (79*s[35])/36 + (1217*s[36])/108 - (5665*s[37])/432 - 
       (14389*s[38])/72 + (105487*s[39])/144 - (348737*s[40])/432 + 
       (14773*s[41])/24 - (869153*s[42])/864 - (3166591*s[43])/4752 + 
       (6843473*s[44])/9504 - (7511969*s[45])/9504 + (57203581*s[46])/9504 - 
       (4962307*s[47])/28512 - (6840997*s[48])/28512 + 
       (45746621*s[49])/14256 - (5591899*s[50])/1188 - (4807031*s[51])/7128 - 
       (15002699*s[52])/28512 + (22963121*s[53])/7128 + (597833*s[54])/4752 + 
       (64604359*s[55])/3168 + (677213*s[56])/132 - (31248409*s[57])/7128 + 
       (386695811*s[58])/42768 - (196775041*s[59])/21384 - 
       (8656693891*s[60])/171072 + (666851129*s[61])/256608 + (13*s[65])/36 + 
       (13*s[66])/9 - (26*s[67])/9 - (10*s[68])/9 - (31*s[69])/6 - 
       (5*s[70])/9 - (47*s[71])/72 - (25*s[72])/18 + (19*s[73])/6 + 
       (71*s[74])/24 - (71*s[75])/24 + (35*s[76])/18 - (13*s[77])/36 - 
       (47*s[78])/9 - (959*s[79])/18 + (4391*s[80])/216 - (637*s[82])/3 - 
       (13*s[83])/12 - (41*s[84])/2 - 20*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-235*s[2])/72 - (4759*s[3])/144 - (77777*s[4])/288 - 
       (67685*s[5])/352 - (46492*s[6])/99 - (27452737*s[7])/6336 + 
       (8069867*s[8])/21384 + (28164391*s[9])/7776 + (9087509*s[10])/7776 + 
       (269005829*s[11])/57024 + (145156169*s[12])/28512 + 
       (175073549*s[13])/57024 + (28956791*s[14])/57024 + 
       (31041085*s[15])/5184 + (52639255*s[16])/7128 + 
       (334679159*s[17])/57024 + (8376553*s[18])/11664 + 
       (2208515*s[19])/2916 + (2202750439*s[20])/256608 + 
       (1589024501*s[21])/513216 - (1157664337*s[22])/513216 - 
       (138477263*s[23])/28512 - (1237342655*s[24])/256608 + 
       (28000344017*s[25])/4618944 - (15348729719*s[26])/4618944 - 
       (7*s[30])/36 - (65*s[31])/18 - (13*s[32])/36 - (595*s[33])/144 + 
       (65*s[34])/18 - (41*s[35])/9 + (827*s[36])/54 - (1739*s[37])/108 - 
       (4591*s[38])/36 + (1681*s[39])/3 - (68035*s[40])/108 + 
       (16607*s[41])/36 - (694339*s[42])/864 - (643523*s[43])/1188 + 
       (10690985*s[44])/19008 - (754307*s[45])/1188 + (11419127*s[46])/2376 - 
       (8913679*s[47])/57024 - (7590511*s[48])/57024 + 
       (142912675*s[49])/57024 - (8836909*s[50])/2376 - 
       (28649729*s[51])/57024 - (20429345*s[52])/57024 + 
       (38348039*s[53])/14256 + (282823*s[54])/4752 + 
       (325221511*s[55])/19008 + (80990335*s[56])/19008 - 
       (9693971*s[57])/3564 + (134212849*s[58])/19008 - 
       (425506657*s[59])/57024 - (13738350601*s[60])/342144 + 
       (3200668913*s[61])/1539648 - s[62]/8 + (5*s[65])/18 + (10*s[66])/9 - 
       (20*s[67])/9 - (16*s[68])/9 - (19*s[69])/6 + (13*s[70])/9 - 
       (41*s[71])/18 - (29*s[72])/18 + (19*s[73])/18 + (59*s[74])/24 - 
       (59*s[75])/24 + (41*s[76])/18 - (5*s[77])/12 - (17*s[78])/6 - 
       (761*s[79])/18 + (566*s[80])/27 - (502*s[82])/3 - (5*s[83])/6 - 
       16*s[84] - 20*s[85]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - u]*((17*s[2])/8 - (43*s[3])/48 + (703*s[4])/288 - 
       (30757*s[5])/1584 - (99013*s[6])/2112 - (819085*s[7])/2112 + 
       (578761*s[8])/57024 + (1716371*s[9])/5184 + (198295*s[10])/1296 + 
       (15115909*s[11])/38016 + (15183257*s[12])/38016 + 
       (4190039*s[13])/19008 + (4355207*s[14])/19008 + (951143*s[15])/1728 + 
       (13041005*s[16])/19008 + (23579761*s[17])/38016 + 
       (1068391*s[18])/15552 + (1018091*s[19])/15552 + 
       (41055059*s[20])/42768 + (62921225*s[21])/171072 - 
       (4309169*s[22])/21384 + (305335*s[23])/38016 - 
       (168775373*s[24])/342144 + (1376568271*s[25])/3079296 - 
       (972373771*s[26])/3079296 - s[30]/4 + s[31] + s[32]/24 + s[33]/2 - 
       (9*s[34])/4 - s[35]/4 - (25*s[36])/12 + (5*s[37])/12 + (11*s[38])/72 - 
       (1615*s[39])/48 + (1043*s[40])/48 - (4421*s[41])/288 + 
       (20515*s[42])/288 - (25315*s[43])/1584 + (62147*s[44])/6336 - 
       (10347*s[45])/88 + (699907*s[46])/1584 + (1042069*s[47])/19008 - 
       (2080523*s[48])/19008 + (1184099*s[49])/19008 - (90733*s[50])/264 + 
       (248641*s[51])/6336 + (434333*s[52])/19008 + (2397227*s[53])/9504 - 
       (317*s[54])/11 + (13285975*s[55])/6336 + (419173*s[56])/704 + 
       (149243*s[57])/132 + (20645095*s[58])/57024 - (20719117*s[59])/57024 - 
       (511246667*s[60])/114048 + (146903429*s[61])/513216 - s[65]/4 - 
       s[66] + (3*s[67])/2 + (4*s[68])/3 + (23*s[69])/12 + s[71]/4 + 
       s[72]/2 - s[73] - (3*s[74])/8 + (3*s[75])/8 + s[76]/4 + s[77]/12 + 
       (5*s[78])/2 - 9*s[79] + (29*s[80])/12 - (359*s[82])/4 + (3*s[83])/4 - 
       (9*s[84])/2 - 20*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - w]*((-23*s[2])/24 + (7*s[3])/12 + (11*s[4])/2 - 
       (1543*s[5])/72 - (36913*s[6])/576 - (854677*s[7])/1728 + 
       (66997*s[8])/5184 + (2166571*s[9])/5184 + (588865*s[10])/2592 + 
       (1735951*s[11])/3456 + (1647209*s[12])/3456 + (27115*s[13])/108 + 
       (257251*s[14])/864 + (1316375*s[15])/1728 + (100129*s[16])/108 + 
       (1036585*s[17])/1152 + (1065161*s[18])/15552 + (1923709*s[19])/15552 + 
       (9588307*s[20])/7776 + (3488731*s[21])/7776 - (3985243*s[22])/15552 + 
       (444317*s[23])/3456 - (21905459*s[24])/31104 + 
       (155849857*s[25])/279936 - (104334757*s[26])/279936 + (19*s[30])/12 + 
       s[31] - s[32]/4 + (5*s[33])/4 - (49*s[34])/12 - (83*s[35])/12 - 
       (431*s[36])/72 + (1453*s[37])/144 + (23*s[38])/4 - (13553*s[39])/288 + 
       (9733*s[40])/288 - (3373*s[41])/144 + (1055*s[42])/12 - 
       (89461*s[43])/3168 + (59365*s[44])/6336 - (131341*s[45])/1056 + 
       (127573*s[46])/264 + (1446515*s[47])/19008 - (2873119*s[48])/19008 + 
       (1699939*s[49])/19008 - (78823*s[50])/198 + (913577*s[51])/19008 + 
       (992833*s[52])/19008 + (366583*s[53])/1188 + (777*s[54])/88 + 
       (45019951*s[55])/19008 + (11533879*s[56])/19008 + 
       (22183439*s[57])/14256 + (44246693*s[58])/171072 - 
       (53647211*s[59])/171072 - (571935637*s[60])/114048 + 
       (465615605*s[61])/1539648 - s[65]/4 - s[66] + (3*s[67])/2 + 
       (19*s[68])/12 + (17*s[69])/12 - s[70]/2 + s[71]/4 + s[72]/2 - 
       (3*s[73])/2 - (31*s[74])/24 + (31*s[75])/24 - (11*s[76])/12 + 
       (7*s[77])/12 + (14*s[78])/3 - (59*s[79])/6 + (523*s[80])/72 - 
       (339*s[82])/4 + (3*s[83])/4 - (9*s[84])/2 - 20*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((11*s[2])/9 + (202*s[3])/9 + (989*s[4])/4 + (36779*s[5])/396 + 
       (494717*s[6])/1584 + (16948823*s[7])/7128 - (10689167*s[8])/42768 - 
       (7662529*s[9])/3888 - (157627*s[10])/486 - (78022349*s[11])/28512 - 
       (92159305*s[12])/28512 - (9457589*s[13])/4752 + 
       (1637489*s[14])/14256 - (596087*s[15])/216 - (5985307*s[16])/1584 - 
       (67205935*s[17])/28512 - (3143941*s[18])/5832 - (700331*s[19])/5832 - 
       (273430721*s[20])/64152 - (99241211*s[21])/64152 + 
       (80045557*s[22])/64152 + (44933819*s[23])/9504 + 
       (542776543*s[24])/256608 - (8437264535*s[25])/2309472 + 
       (4368121877*s[26])/2309472 + (47*s[30])/18 + (5*s[31])/3 + 
       (9*s[32])/2 + (67*s[33])/24 - (113*s[34])/18 - (49*s[35])/9 - 
       (815*s[36])/54 + (3217*s[37])/108 + (517*s[38])/4 - (6589*s[39])/12 + 
       (63631*s[40])/108 - (1827*s[41])/4 + (181057*s[42])/216 + 
       (383099*s[43])/1188 - (1872875*s[44])/4752 + (643175*s[45])/2376 - 
       (2267371*s[46])/792 + (5219299*s[47])/14256 - (3962489*s[48])/14256 - 
       (5094073*s[49])/3564 + (1174681*s[50])/594 + (553247*s[51])/891 + 
       (7810991*s[52])/14256 - (3121013*s[53])/2376 + (363707*s[54])/792 - 
       (36998087*s[55])/4752 - (9680927*s[56])/3564 + 
       (157126267*s[57])/21384 - (372889103*s[58])/64152 + 
       (348671255*s[59])/64152 + (868422095*s[60])/42768 - 
       (1427794591*s[61])/1154736 - (2*s[65])/3 - (2*s[66])/3 + 
       (11*s[67])/3 + (76*s[68])/9 - (10*s[69])/9 + (11*s[70])/3 + s[71]/6 + 
       (14*s[72])/3 - (22*s[73])/3 - (79*s[74])/18 + (79*s[75])/18 - 
       (38*s[76])/9 - (14*s[77])/9 + (56*s[78])/9 + (332*s[79])/9 - 
       (181*s[80])/27 - (1133*s[82])/6 + (17*s[83])/4 + s[84]/2 - 
       (58*s[85])/3) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*((3*s[2])/4 + (4219*s[3])/72 + (52627*s[4])/144 + 
       (82567*s[5])/792 + (130961*s[6])/264 + (10555499*s[7])/3168 - 
       (2658259*s[8])/7128 - (3501415*s[9])/1296 - (286807*s[10])/648 - 
       (18054967*s[11])/4752 - (42425257*s[12])/9504 - 
       (26623967*s[13])/9504 + (1692109*s[14])/9504 - (3402307*s[15])/864 - 
       (12463943*s[16])/2376 - (15669103*s[17])/4752 - (3038831*s[18])/3888 - 
       (151177*s[19])/972 - (125734973*s[20])/21384 - 
       (181128479*s[21])/85536 + (144556831*s[22])/85536 + 
       (60602065*s[23])/9504 + (253827853*s[24])/85536 - 
       (3974774381*s[25])/769824 + (2086565363*s[26])/769824 + (59*s[30])/6 + 
       (8*s[31])/3 + (61*s[32])/18 + (83*s[33])/12 - (23*s[34])/2 - 
       (46*s[35])/3 - (991*s[36])/36 + (185*s[37])/12 + (2531*s[38])/9 - 
       (152545*s[39])/144 + (164189*s[40])/144 - (43601*s[41])/48 + 
       (221881*s[42])/144 + (155703*s[43])/176 - (305061*s[44])/352 + 
       (87649*s[45])/99 - (11604845*s[46])/1584 + (4238407*s[47])/9504 - 
       (638135*s[48])/9504 - (34971829*s[49])/9504 + (2095667*s[50])/396 + 
       (10399289*s[51])/9504 + (9102479*s[52])/9504 - (325057*s[53])/88 + 
       (140797*s[54])/198 - (221139857*s[55])/9504 - (64636067*s[56])/9504 + 
       (17152439*s[57])/1782 - (1056250093*s[58])/85536 + 
       (1046840791*s[59])/85536 + (3249631411*s[60])/57024 - 
       (2455567711*s[61])/769824 + s[65]/3 + (10*s[66])/3 - (13*s[67])/3 + 
       (31*s[68])/9 - (100*s[69])/9 - s[70]/3 - (23*s[71])/6 + (14*s[72])/3 + 
       (31*s[73])/6 - 5*s[74] + (11*s[75])/2 - (50*s[76])/3 + (31*s[77])/9 + 
       (67*s[78])/6 + 31*s[79] + (88*s[80])/3 - (2303*s[82])/6 + 
       (5*s[83])/4 + (85*s[84])/2 - (58*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      (20*s[2] - (539*s[3])/12 - (4301*s[4])/24 + (67271*s[5])/264 + 
       (6145*s[6])/44 + (2930899*s[7])/1584 + (204889*s[8])/1188 - 
       (410387*s[9])/216 - (219127*s[10])/216 - (2836711*s[11])/1584 - 
       (550043*s[12])/396 - (357595*s[13])/528 - (2578903*s[14])/1584 - 
       (146737*s[15])/48 - (297779*s[16])/88 - (5805695*s[17])/1584 - 
       (333043*s[18])/648 - (158045*s[19])/648 - (37663841*s[20])/7128 - 
       (34438999*s[21])/14256 + (15199385*s[22])/14256 - (170303*s[23])/132 + 
       (2199569*s[24])/891 - (187588441*s[25])/128304 + 
       (191605753*s[26])/128304 + 12*s[29] - 7*s[30] + 9*s[31] - 
       (31*s[32])/6 + s[33]/2 - 2*s[34] + 6*s[35] + (47*s[36])/12 + 
       (11*s[37])/4 + (583*s[38])/12 + (5485*s[39])/48 - (1507*s[40])/16 + 
       (1385*s[41])/16 - (4117*s[42])/16 + (29917*s[43])/528 + 
       (77773*s[44])/1056 + (44855*s[45])/132 - (426215*s[46])/528 - 
       (197573*s[47])/1056 + (327809*s[48])/1056 - (8611*s[49])/352 + 
       (90083*s[50])/132 - (120403*s[51])/1056 - (17535*s[52])/352 - 
       (41927*s[53])/99 - (10949*s[54])/44 - (11779435*s[55])/3168 - 
       (2979737*s[56])/3168 - (4746895*s[57])/2376 - (21692203*s[58])/28512 + 
       (18469861*s[59])/28512 + (57701819*s[60])/6336 - 
       (142778389*s[61])/256608 + 2*s[63] - s[64]/2 + (7*s[65])/2 + 
       11*s[66] - 13*s[67] - (25*s[68])/3 - (77*s[69])/3 + 2*s[70] - 
       6*s[71] - 14*s[72] + s[73]/2 + 8*s[74] - (17*s[75])/2 - 10*s[76] + 
       (20*s[77])/3 - (27*s[78])/2 + 13*s[79] + 23*s[80] - 124*s[82] - 
       (21*s[83])/4 + (51*s[84])/2 - 18*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((-14*s[2])/3 - (95*s[3])/6 + (1191*s[4])/2 - (47*s[5])/132 + 
       (13489*s[6])/33 + (10046833*s[7])/2376 - (1125299*s[8])/1782 - 
       (563239*s[9])/162 - (62153*s[10])/162 - (5884919*s[11])/1188 - 
       (14600273*s[12])/2376 - (3144631*s[13])/792 + (3017609*s[14])/2376 - 
       (334817*s[15])/72 - (2505985*s[16])/396 - (3646015*s[17])/1188 - 
       (732907*s[18])/972 - (299513*s[19])/972 - (69883541*s[20])/10692 - 
       (40815691*s[21])/21384 + (48208007*s[22])/21384 + 
       (7667237*s[23])/792 + (78618533*s[24])/21384 - 
       (1382016037*s[25])/192456 + (616688977*s[26])/192456 - s[29] + 
       (23*s[30])/3 + 5*s[31] + 3*s[32] + (57*s[33])/4 - (56*s[34])/3 - 
       (38*s[35])/3 - (176*s[36])/9 + (1499*s[37])/36 + 287*s[38] - 
       (4839*s[39])/4 + (47459*s[40])/36 - (4157*s[41])/4 + 
       (65767*s[42])/36 + (360577*s[43])/396 - (381385*s[44])/396 + 
       (449821*s[45])/792 - (582089*s[46])/88 + (672449*s[47])/1188 - 
       (172619*s[48])/594 - (1161716*s[49])/297 + (1940845*s[50])/396 + 
       (1448479*s[51])/1188 + (304318*s[52])/297 - (871511*s[53])/264 + 
       (5759*s[54])/11 - (7898599*s[55])/396 - (6644617*s[56])/1188 + 
       (11150563*s[57])/891 - (255293197*s[58])/21384 + 
       (128663531*s[59])/10692 + (725987743*s[60])/14256 - 
       (918494831*s[61])/384912 - s[64]/2 + s[65]/2 + 2*s[66] - 6*s[67] + 
       (2*s[68])/3 - (35*s[69])/3 - 6*s[70] - s[71]/2 + 4*s[72] + 6*s[73] - 
       (19*s[74])/3 + (35*s[75])/6 - (37*s[76])/3 + (23*s[77])/3 + 
       (25*s[78])/3 + (496*s[79])/3 - (547*s[80])/18 - 304*s[82] - 
       (33*s[83])/4 + (135*s[84])/2 - 18*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      ((-377*s[2])/144 - (289*s[3])/48 - (4651*s[4])/36 - (25871*s[5])/264 - 
       (1606723*s[6])/6336 - (253327037*s[7])/114048 + (1872199*s[8])/10692 + 
       (14586529*s[9])/7776 + (9363871*s[10])/15552 + 
       (138857555*s[11])/57024 + (302212937*s[12])/114048 + 
       (181484645*s[13])/114048 + (36250855*s[14])/114048 + 
       (30664159*s[15])/10368 + (26781815*s[16])/7128 + 
       (27752555*s[17])/9504 + (9642383*s[18])/23328 + 
       (15268055*s[19])/46656 + (2283791339*s[20])/513216 + 
       (1666377547*s[21])/1026432 - (1197625679*s[22])/1026432 - 
       (282417697*s[23])/114048 - (2503849457*s[24])/1026432 + 
       (28476574933*s[25])/9237888 - (15803012623*s[26])/9237888 + s[30]/3 - 
       (25*s[31])/36 + (7*s[32])/144 - (7*s[33])/32 + (5*s[34])/9 + 
       (5*s[35])/72 + (1847*s[36])/432 - (235*s[37])/72 - (3529*s[38])/48 + 
       (171239*s[39])/576 - (581681*s[40])/1728 + (154261*s[41])/576 - 
       (736069*s[42])/1728 - (5316739*s[43])/19008 + (5515867*s[44])/19008 - 
       (265505*s[45])/792 + (48218833*s[46])/19008 - (4559873*s[47])/57024 - 
       (2317375*s[48])/28512 + (72006833*s[49])/57024 - 
       (4654691*s[50])/2376 - (8368193*s[51])/28512 - (834793*s[52])/3564 + 
       (77500565*s[53])/57024 - (52633*s[54])/2376 + (2574826*s[55])/297 + 
       (129982835*s[56])/57024 - (328965755*s[57])/171072 + 
       (990688187*s[58])/256608 - (1004248325*s[59])/256608 - 
       (7169240039*s[60])/342144 + (5203293943*s[61])/4618944 + 
       (7*s[68])/36 - (7*s[69])/36 - (2*s[70])/9 + (5*s[71])/16 - 
       (13*s[72])/12 - (5*s[73])/12 + (163*s[74])/144 - (163*s[75])/144 + 
       (17*s[76])/18 + (49*s[77])/72 - (19*s[78])/36 - (941*s[79])/36 + 
       (199*s[80])/36 - (1285*s[82])/24 - (25*s[84])/2 - (50*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^3*
      ((-77*s[2])/48 - (587*s[3])/144 - (6155*s[4])/96 - (254417*s[5])/3168 - 
       (1072571*s[6])/6336 - (6361591*s[7])/4224 + (8844721*s[8])/85536 + 
       (4981027*s[9])/3888 + (7089365*s[10])/15552 + (46344563*s[11])/28512 + 
       (196162645*s[12])/114048 + (114675035*s[13])/114048 + 
       (39016577*s[14])/114048 + (21565015*s[15])/10368 + 
       (148597771*s[16])/57024 + (122234437*s[17])/57024 + 
       (6765013*s[18])/23328 + (10741549*s[19])/46656 + 
       (1621516885*s[20])/513216 + (1218221585*s[21])/1026432 - 
       (811508065*s[22])/1026432 - (160969591*s[23])/114048 - 
       (1745222323*s[24])/1026432 + (18424909379*s[25])/9237888 - 
       (10755171893*s[26])/9237888 + (5*s[30])/72 + s[31]/18 + 
       (23*s[32])/144 + s[33]/2 - (55*s[34])/72 + s[35]/8 + (541*s[36])/432 - 
       (317*s[37])/432 - (1741*s[38])/48 + (89329*s[39])/576 - 
       (309271*s[40])/1728 + (82027*s[41])/576 - (384071*s[42])/1728 - 
       (2939525*s[43])/19008 + (384427*s[44])/2376 - (2015641*s[45])/9504 + 
       (28874773*s[46])/19008 - (948863*s[47])/28512 - 
       (4078663*s[48])/57024 + (20402567*s[49])/28512 - 
       (1408097*s[50])/1188 - (8493707*s[51])/57024 - (6544283*s[52])/57024 + 
       (47413691*s[53])/57024 - (10265*s[54])/4752 + (34022663*s[55])/6336 + 
       (13519117*s[56])/9504 - (14945009*s[57])/19008 + 
       (380607581*s[58])/171072 - (387022613*s[59])/171072 - 
       (2177512883*s[60])/171072 + (1096086385*s[61])/1539648 + 
       (7*s[68])/36 - (7*s[69])/36 - (17*s[70])/36 - s[71]/16 - 
       (7*s[72])/12 + s[73]/12 + (59*s[74])/144 - (59*s[75])/144 + 
       (7*s[76])/18 + (49*s[77])/72 - s[78]/18 - (61*s[79])/4 + 
       (1285*s[80])/216 - (1951*s[82])/24 - (13*s[84])/2 - (50*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - u]*
      (s[2]/2 + (11*s[3])/3 - (105*s[4])/2 - (1631*s[5])/66 - 
       (6005*s[6])/66 - (531809*s[7])/594 + (155861*s[8])/1782 + 
       (61571*s[9])/81 + (20041*s[10])/81 + (308354*s[11])/297 + 
       (701951*s[12])/594 + (853351*s[13])/1188 - (27527*s[14])/594 + 
       (29165*s[15])/27 + (1786291*s[16])/1188 + (398791*s[17])/396 + 
       (171601*s[18])/972 + (70693*s[19])/486 + (17460263*s[20])/10692 + 
       (5883137*s[21])/10692 - (2586017*s[22])/5346 - (1459319*s[23])/1188 - 
       (5217089*s[24])/5346 + (65614249*s[25])/48114 - 
       (64156925*s[26])/96228 + (7*s[32])/6 - (2*s[36])/9 + (4*s[37])/9 - 
       (79*s[38])/3 + (584*s[39])/3 - (1837*s[40])/9 + (967*s[41])/6 - 
       (5479*s[42])/18 - (14459*s[43])/99 + (68837*s[44])/396 - 
       (11768*s[45])/99 + (126397*s[46])/99 - (24040*s[47])/297 - 
       (14255*s[48])/594 + (217606*s[49])/297 - (101540*s[50])/99 - 
       (111481*s[51])/594 - (142403*s[52])/1188 + (390829*s[53])/594 + 
       (12823*s[54])/99 + (82831*s[55])/22 + (188215*s[56])/198 - 
       (848213*s[57])/396 + (3845431*s[58])/1782 - (1891286*s[59])/891 - 
       (35493749*s[60])/3564 + (8887289*s[61])/16038 + (4*s[68])/3 - 
       (4*s[69])/3 + s[76]/3 + (4*s[77])/3 - s[80]/9 - 119*s[82] - 
       16*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v]*(-17*s[2] + (13*s[3])/4 + (2303*s[4])/8 + 
       (211*s[5])/66 + (22191*s[6])/88 + (466555*s[7])/176 - 
       (2599331*s[8])/7128 - (677915*s[9])/324 - (100643*s[10])/162 - 
       (13867637*s[11])/4752 - (8040035*s[12])/2376 - (9517361*s[13])/4752 + 
       (596113*s[14])/4752 - (1439107*s[15])/432 - (2622349*s[16])/594 - 
       (14674295*s[17])/4752 - (102283*s[18])/243 - (846211*s[19])/1944 - 
       (101966713*s[20])/21384 - (61163909*s[21])/42768 + 
       (58419637*s[22])/42768 + (9490721*s[23])/2376 + 
       (59206259*s[24])/21384 - (766603819*s[25])/192456 + 
       (361465507*s[26])/192456 - 5*s[29] + s[30] - 12*s[31] - (5*s[33])/2 + 
       (34*s[34])/3 + (4*s[35])/3 - (17*s[36])/2 + (317*s[37])/18 + 
       (415*s[38])/6 - (3303*s[39])/8 + (3747*s[40])/8 - (8951*s[41])/24 + 
       (5333*s[42])/8 + (59827*s[43])/264 - (168331*s[44])/528 + 
       (75547*s[45])/396 - (1844597*s[46])/792 + (435343*s[47])/1584 - 
       (372563*s[48])/1584 - (1699741*s[49])/1584 + (238027*s[50])/132 + 
       (91913*s[51])/176 + (620141*s[52])/1584 - (2756539*s[53])/2376 + 
       (128795*s[54])/396 - (3674663*s[55])/528 - (10369429*s[56])/4752 + 
       (17314783*s[57])/3564 - (186858803*s[58])/42768 + 
       (178301261*s[59])/42768 + (54599141*s[60])/3168 - 
       (383795699*s[61])/384912 - 2*s[64] - (7*s[65])/6 - 2*s[66] + 6*s[67] - 
       2*s[68] + 12*s[69] + s[70] + (7*s[71])/6 + 6*s[72] - 6*s[73] - 
       (11*s[74])/2 + (11*s[75])/2 + 6*s[76] - 11*s[77] - 11*s[78] + 
       88*s[79] - (376*s[80])/9 - 116*s[82] - 16*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Omega2[v, w, u]*
      ((-4*s[2])/3 + (16*s[3])/3 + (39*s[4])/2 - (742*s[5])/33 - 
       (1190*s[6])/33 - (761515*s[7])/2376 - (14327*s[8])/3564 + 
       (93011*s[9])/324 + (54337*s[10])/324 + (383879*s[11])/1188 + 
       (172217*s[12])/594 + (8881*s[13])/66 + (151501*s[14])/594 + 
       (35873*s[15])/72 + (493087*s[16])/792 + (747937*s[17])/1188 + 
       (67615*s[18])/972 + (28015*s[19])/486 + (2343092*s[20])/2673 + 
       (3873413*s[21])/10692 - (1859587*s[22])/10692 + (35657*s[23])/264 - 
       (9589931*s[24])/21384 + (57953251*s[25])/192456 - 
       (49155229*s[26])/192456 + (4*s[30])/3 - (4*s[34])/3 - (16*s[35])/3 - 
       (28*s[36])/9 + (40*s[37])/9 + (13*s[38])/3 - (82*s[39])/3 + 
       (166*s[40])/9 - (47*s[41])/6 + (461*s[42])/9 - (1795*s[43])/99 + 
       (11921*s[44])/792 - (6905*s[45])/99 + (10096*s[46])/33 + 
       (141125*s[47])/2376 - (283255*s[48])/2376 + (226681*s[49])/2376 - 
       (26899*s[50])/99 + (85945*s[51])/2376 + (99823*s[52])/2376 + 
       (75767*s[53])/396 + (3341*s[54])/66 + (393521*s[55])/264 + 
       (908459*s[56])/2376 + (833156*s[57])/891 + (3700867*s[58])/21384 - 
       (4544059*s[59])/21384 - (46899487*s[60])/14256 + 
       (18434177*s[61])/96228 + (4*s[68])/3 - (4*s[69])/3 - (2*s[74])/3 + 
       (2*s[75])/3 - (8*s[76])/3 + (4*s[77])/3 + (8*s[78])/3 - (16*s[79])/3 + 
       (56*s[80])/9 - 114*s[82] - 16*s[85]) + HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - u]*(-21*s[2] + 140*s[3] + 368*s[4] - 
       (2456*s[5])/11 - (692*s[6])/11 - (9055*s[7])/66 - (70417*s[8])/198 + 
       (9193*s[9])/18 + (5083*s[10])/9 - (3191*s[11])/66 - (26687*s[12])/33 - 
       (9847*s[13])/22 + (54485*s[14])/33 + 1010*s[15] + (7895*s[16])/11 + 
       (64948*s[17])/33 - (872*s[18])/27 + (3865*s[19])/54 + 
       (1085497*s[20])/594 + (798991*s[21])/594 - (139619*s[22])/594 + 
       (41273*s[23])/11 - (455153*s[24])/594 - (10679365*s[25])/10692 - 
       (2593259*s[26])/10692 - 6*s[29] - 2*s[30] - 18*s[31] + 15*s[32] - 
       (9*s[33])/2 + 24*s[34] + 14*s[36] + 10*s[37] + 40*s[38] - 290*s[39] + 
       306*s[40] - 268*s[41] + 470*s[42] + (1500*s[43])/11 - 
       (1586*s[44])/11 + (3393*s[45])/11 - (22241*s[46])/11 + 
       (3888*s[47])/11 - (4384*s[48])/11 - (5526*s[49])/11 + 
       (15496*s[50])/11 + (14228*s[51])/33 + (3984*s[52])/11 - 
       (33290*s[53])/33 + (7588*s[54])/11 - (70331*s[55])/11 - 
       (73024*s[56])/33 + (312412*s[57])/99 - (1087145*s[58])/297 + 
       (956492*s[59])/297 + (308769*s[60])/22 - (6034603*s[61])/5346 - 
       4*s[64] + 2*s[66] + 18*s[68] - 10*s[69] + 8*s[70] - 16*s[77] - 
       12*s[79] - 8*s[80] - 104*s[82] - 16*s[85]) + 
     HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*(-27*s[2] + 62*s[3] - 
       (499*s[4])/2 - (4482*s[5])/11 - (15019*s[6])/22 - (1386439*s[7])/198 + 
       (136759*s[8])/297 + (328279*s[9])/54 + (57850*s[10])/27 + 
       (3037343*s[11])/396 + (1616495*s[12])/198 + (632249*s[13])/132 + 
       (584921*s[14])/396 + (28880*s[15])/3 + (1614157*s[16])/132 + 
       (3926827*s[17])/396 + (106417*s[18])/81 + (92324*s[19])/81 + 
       (13253156*s[20])/891 + (19837625*s[21])/3564 - (13386685*s[22])/3564 - 
       (829963*s[23])/132 - (28128457*s[24])/3564 + (299099429*s[25])/32076 - 
       (173337011*s[26])/32076 - 12*s[31] + 7*s[32] - (15*s[33])/2 + 
       24*s[34] + 6*s[35] + (98*s[36])/3 + (7*s[37])/3 - 217*s[38] + 
       886*s[39] - (2864*s[40])/3 + (1483*s[41])/2 - (7673*s[42])/6 - 
       (22612*s[43])/33 + (115261*s[44])/132 - (19355*s[45])/33 + 
       (64464*s[46])/11 - (98555*s[47])/396 - (63839*s[48])/396 + 
       (1467605*s[49])/396 - (309755*s[50])/66 - (296089*s[51])/396 - 
       (223969*s[52])/396 + (68369*s[53])/22 + (15637*s[54])/22 + 
       (840811*s[55])/44 + (1767643*s[56])/396 - (2082145*s[57])/297 + 
       (33762383*s[58])/3564 - (35027297*s[59])/3564 - 
       (115630199*s[60])/2376 + (36605599*s[61])/16038 + 3*s[65] + 6*s[66] - 
       12*s[67] + 18*s[68] - 30*s[69] + 6*s[70] - 3*s[71] - 12*s[72] - 
       4*s[73] + 9*s[74] - 9*s[75] - 6*s[76] + 2*s[77] - 24*s[78] - 
       28*s[79] + (44*s[80])/3 - 104*s[82] - 16*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Omega2[v, w, u]*
      ((5*s[3])/3 + (22*s[4])/3 - (4099*s[5])/132 - (7001*s[6])/132 - 
       (37121*s[7])/99 - (1657*s[8])/1188 + (36193*s[9])/108 + 
       (17267*s[10])/108 + (80975*s[11])/198 + (80671*s[12])/198 + 
       (95363*s[13])/396 + (38033*s[14])/198 + (6181*s[15])/12 + 
       (272141*s[16])/396 + (13337*s[17])/22 + (23147*s[18])/324 + 
       (5746*s[19])/81 + (3189853*s[20])/3564 + (640451*s[21])/1782 - 
       (182894*s[22])/891 - (4921*s[23])/396 - (1752989*s[24])/3564 + 
       (29175167*s[25])/64152 - (19283357*s[26])/64152 + (2*s[32])/3 + 
       (20*s[37])/3 - (5*s[38])/3 + (45*s[39])/4 - (77*s[40])/4 + 
       (193*s[41])/12 - s[42]/12 - (4253*s[43])/132 + (11755*s[44])/264 - 
       (9521*s[45])/132 + (26329*s[46])/66 + (28663*s[47])/792 - 
       (76739*s[48])/792 + (157595*s[49])/792 - (3512*s[50])/11 + 
       (6973*s[51])/792 + (6755*s[52])/792 + (20228*s[53])/99 + 
       (834*s[54])/11 + (128779*s[55])/88 + (99623*s[56])/264 + 
       (48523*s[57])/198 + (1088495*s[58])/2376 - (1082471*s[59])/2376 - 
       (17970443*s[60])/4752 + (737471*s[61])/3564 + (4*s[68])/3 - 
       (4*s[69])/3 + (4*s[77])/3 - 98*s[82] - 16*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*M1[v, u, w]*((13*s[2])/6 - (29*s[3])/3 - 
       (33*s[4])/4 - (955*s[5])/33 - (7633*s[6])/132 - (1011775*s[7])/2376 + 
       (60073*s[8])/3564 + (57019*s[9])/162 + (29831*s[10])/162 + 
       (1041499*s[11])/2376 + (122443*s[12])/297 + (19363*s[13])/88 + 
       (495265*s[14])/2376 + (5487*s[15])/8 + (324293*s[16])/396 + 
       (1899185*s[17])/2376 + (37397*s[18])/486 + (100547*s[19])/972 + 
       (2721977*s[20])/2673 + (8677225*s[21])/21384 - (4573205*s[22])/21384 - 
       (6253*s[23])/66 - (6140935*s[24])/10692 + (23408455*s[25])/48114 - 
       (8082020*s[26])/24057 + s[30]/3 + 2*s[31] - s[32] + 3*s[33] - 
       (13*s[34])/3 - s[35]/3 - (19*s[36])/9 + (107*s[37])/18 + s[38] - 
       (31*s[39])/4 + (67*s[40])/36 + (17*s[41])/4 + (719*s[42])/36 - 
       (14299*s[43])/396 + (20525*s[44])/792 - (35273*s[45])/396 + 
       (14743*s[46])/33 + (107813*s[47])/2376 - (235585*s[48])/2376 + 
       (412417*s[49])/2376 - (37735*s[50])/99 + (52159*s[51])/2376 + 
       (70513*s[52])/2376 + (56923*s[53])/198 + (2887*s[54])/33 + 
       (1582907*s[55])/792 + (1106663*s[56])/2376 + (1456165*s[57])/1782 + 
       (8023255*s[58])/21384 - (9624715*s[59])/21384 - 
       (61730437*s[60])/14256 + (24688049*s[61])/96228 + s[68]/3 - s[69]/3 - 
       2*s[70] - (2*s[74])/3 + (2*s[75])/3 - (8*s[76])/3 + (4*s[77])/3 + 
       (8*s[78])/3 + (8*s[79])/3 + (23*s[80])/9 - 97*s[82] - 16*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Omega2[u, v, w]*
      ((2*s[3])/3 + (25*s[4])/3 - (407*s[5])/12 - (337*s[6])/6 - 
       (37501*s[7])/72 + (797*s[8])/108 + (49019*s[9])/108 + 
       (11873*s[10])/54 + (39077*s[11])/72 + (38011*s[12])/72 + 
       (10535*s[13])/36 + (10099*s[14])/36 + (18527*s[15])/24 + 
       (68281*s[16])/72 + (21287*s[17])/24 + (6631*s[18])/81 + 
       (9680*s[19])/81 + (102493*s[20])/81 + (40144*s[21])/81 - 
       (88883*s[22])/324 + (2243*s[23])/36 - (112447*s[24])/162 + 
       (3514319*s[25])/5832 - (2425643*s[26])/5832 + (2*s[32])/3 + 4*s[37] - 
       6*s[38] - (137*s[39])/12 + (41*s[40])/12 + (11*s[41])/12 + 
       (521*s[42])/12 - (4841*s[43])/132 + (4769*s[44])/132 - 
       (14777*s[45])/132 + (33257*s[46])/66 + (2503*s[47])/44 - 
       (1368*s[48])/11 + (6559*s[49])/33 - (4578*s[50])/11 + 
       (11183*s[51])/396 + (571*s[52])/22 + (38911*s[53])/132 + 
       (1679*s[54])/33 + (895285*s[55])/396 + (34829*s[56])/66 + 
       (37586*s[57])/33 + (26047*s[58])/66 - (15040*s[59])/33 - 
       (1358827*s[60])/264 + (79613*s[61])/297 + (4*s[68])/3 - (4*s[69])/3 + 
       (4*s[77])/3 - 96*s[82] - 16*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      M1[v, w, u]*((5*s[2])/2 - (127*s[3])/12 - (199*s[4])/24 - 
       (7853*s[5])/264 - (4669*s[6])/88 - (688933*s[7])/1584 + 
       (40679*s[8])/2376 + (9707*s[9])/27 + (40127*s[10])/216 + 
       (352849*s[11])/792 + (670381*s[12])/1584 + (352255*s[13])/1584 + 
       (328895*s[14])/1584 + (100829*s[15])/144 + (81982*s[16])/99 + 
       (8867*s[17])/11 + (11981*s[18])/162 + (36269*s[19])/324 + 
       (3711515*s[20])/3564 + (5788385*s[21])/14256 - (3105283*s[22])/14256 - 
       (120947*s[23])/1584 - (8353783*s[24])/14256 + (32214439*s[25])/64152 - 
       (5451595*s[26])/16038 + 2*s[31] - (5*s[32])/6 + 3*s[33] - 4*s[34] + 
       s[35] - (4*s[36])/3 + (11*s[37])/2 - (5*s[38])/6 - (305*s[39])/24 + 
       (169*s[40])/24 - (9*s[41])/8 + (773*s[42])/24 - (2679*s[43])/88 + 
       (3955*s[44])/176 - (25999*s[45])/264 + (14824*s[46])/33 + 
       (70001*s[47])/1584 - (150769*s[48])/1584 + (245617*s[49])/1584 - 
       (12781*s[50])/33 + (35023*s[51])/1584 + (47389*s[52])/1584 + 
       (19147*s[53])/66 + (2648*s[54])/33 + (3262409*s[55])/1584 + 
       (743819*s[56])/1584 + (1138891*s[57])/1188 + (5032855*s[58])/14256 - 
       (5998843*s[59])/14256 - (42171829*s[60])/9504 + 
       (16922261*s[61])/64152 + s[68]/3 - s[69]/3 - 2*s[70] - s[74]/2 + 
       s[75]/2 - 2*s[76] + (4*s[77])/3 + 2*s[78] + 4*s[79] + s[80] - 
       88*s[82] - 16*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      Omega2[u, v, w]*((-4*s[2])/3 + (19*s[3])/3 + (39*s[4])/2 - 
       (823*s[5])/132 - (74*s[6])/11 - (115771*s[7])/2376 - 
       (57029*s[8])/3564 + (16175*s[9])/324 + (12005*s[10])/162 + 
       (82843*s[11])/2376 - (25681*s[12])/2376 - (1754*s[13])/99 + 
       (38213*s[14])/297 + (9827*s[15])/72 + (38669*s[16])/264 + 
       (545771*s[17])/2376 - (13045*s[18])/486 + (29377*s[19])/486 + 
       (1217191*s[20])/5346 + (747521*s[21])/10692 - (166883*s[22])/5346 + 
       (163909*s[23])/396 - (496291*s[24])/2673 + (483619*s[25])/192456 - 
       (3254935*s[26])/192456 + (4*s[30])/3 - (4*s[34])/3 - (16*s[35])/3 - 
       (28*s[36])/9 + (49*s[37])/9 + (44*s[38])/3 - (743*s[39])/12 + 
       (1909*s[40])/36 - (443*s[41])/12 + (3689*s[42])/36 + 
       (7571*s[43])/396 - (3133*s[44])/198 - (16433*s[45])/396 + 
       (2449*s[46])/66 + (17983*s[47])/297 - (102935*s[48])/1188 - 
       (73753*s[49])/1188 - (7198*s[50])/99 + (34975*s[51])/594 + 
       (75965*s[52])/1188 + (22615*s[53])/396 + (2138*s[54])/33 + 
       (117301*s[55])/198 + (120253*s[56])/1188 + (1030463*s[57])/891 - 
       (2643721*s[58])/10692 + (2376565*s[59])/10692 - (1869275*s[60])/1782 + 
       (1712720*s[61])/24057 + (4*s[68])/3 - (4*s[69])/3 - (2*s[74])/3 + 
       (2*s[75])/3 - (8*s[76])/3 + (4*s[77])/3 + (8*s[78])/3 - (16*s[79])/3 + 
       (56*s[80])/9 - 80*s[82] - 16*s[85]) + HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - v]*(-18*s[2] + (127*s[3])/4 + (5983*s[4])/8 + 
       (325*s[5])/4 + (6489*s[6])/8 + (336329*s[7])/48 - (67957*s[8])/72 - 
       (200393*s[9])/36 - (10582*s[10])/9 - (393205*s[11])/48 - 
       (29804*s[12])/3 - (298919*s[13])/48 + (43547*s[14])/48 - 
       (124871*s[15])/16 - (268267*s[16])/24 - (105697*s[17])/16 - 
       (63449*s[18])/54 - (206587*s[19])/216 - (2557757*s[20])/216 - 
       (1591711*s[21])/432 + (1575791*s[22])/432 + (295193*s[23])/24 + 
       (1537939*s[24])/216 - (22049183*s[25])/1944 + (10308629*s[26])/1944 - 
       10*s[29] + 6*s[30] - 12*s[31] - (75*s[33])/4 + 9*s[34] - 6*s[35] - 
       (127*s[36])/3 + (244*s[37])/3 + (737*s[38])/2 - 1539*s[39] + 
       (5038*s[40])/3 - (5045*s[41])/4 + (27377*s[42])/12 + (3220*s[43])/3 - 
       (7679*s[44])/6 + (10943*s[45])/12 - (36269*s[46])/4 + 
       (28799*s[47])/36 - (12451*s[48])/36 - (179123*s[49])/36 + 
       (79327*s[50])/12 + (14068*s[51])/9 + (12427*s[52])/9 - 
       (17193*s[53])/4 + (2961*s[54])/4 - (316901*s[55])/12 - 
       (288049*s[56])/36 + (949475*s[57])/54 - (5429873*s[58])/324 + 
       (5235761*s[59])/324 + (1884220*s[60])/27 - (21892489*s[61])/5832 - 
       4*s[64] - (9*s[65])/2 - 4*s[66] + 12*s[67] + 8*s[68] + 12*s[69] + 
       4*s[70] + (9*s[71])/2 + 12*s[72] - 12*s[73] - 9*s[74] + 9*s[75] - 
       8*s[76] - 12*s[77] - 4*s[78] + 120*s[79] - (178*s[80])/3 - 68*s[82] - 
       16*s[85]) + HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      (-4*s[2] - (255*s[3])/4 - (2799*s[4])/8 - (167*s[5])/4 - 
       (1725*s[6])/8 - (150697*s[7])/48 + (36673*s[8])/72 + (87731*s[9])/36 + 
       (12011*s[10])/18 + (168157*s[11])/48 + (24769*s[12])/6 + 
       (36461*s[13])/16 - (26459*s[14])/48 + (194141*s[15])/48 + 
       (42193*s[16])/8 + (173315*s[17])/48 + (16804*s[18])/27 + 
       (112867*s[19])/216 + (1193189*s[20])/216 + (719191*s[21])/432 - 
       (679679*s[22])/432 - (49683*s[23])/8 - (640243*s[24])/216 + 
       (9436769*s[25])/1944 - (4390919*s[26])/1944 + 8*s[28] + 10*s[29] - 
       6*s[30] + 14*s[31] - 4*s[32] - (13*s[33])/4 - 9*s[34] + 6*s[35] + 
       (107*s[36])/3 - (26*s[37])/3 - (341*s[38])/2 + (1613*s[39])/2 - 
       (5173*s[40])/6 + (2663*s[41])/4 - (14287*s[42])/12 - 
       (41891*s[43])/66 + (98431*s[44])/132 - (86429*s[45])/132 + 
       (252081*s[46])/44 - (28442*s[47])/99 + (5482*s[48])/99 + 
       (632311*s[49])/198 - (613669*s[50])/132 - (304273*s[51])/396 - 
       (216379*s[52])/396 + (432247*s[53])/132 + (15313*s[54])/44 + 
       (1308445*s[55])/66 + (870935*s[56])/198 - (2570819*s[57])/594 + 
       (7478126*s[58])/891 - (15910657*s[59])/1782 - (111024191*s[60])/2376 + 
       (148999729*s[61])/64152 + (9*s[65])/2 + 6*s[66] - 12*s[67] + 
       18*s[68] - 30*s[69] + 4*s[70] - (9*s[71])/2 - 12*s[72] - 4*s[73] + 
       9*s[74] - 9*s[75] - 10*s[76] + 4*s[77] - 24*s[78] - 28*s[79] + 
       (86*s[80])/3 - 68*s[82] - 16*s[85]) + HPL[{0, 1, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u]*((71*s[2])/2 + 74*s[3] + (649*s[4])/2 + 
       (11267*s[5])/44 + (34187*s[6])/44 + (1369733*s[7])/264 - 
       (42253*s[8])/99 - (154175*s[9])/36 - (40117*s[10])/36 - 
       (1563715*s[11])/264 - (442337*s[12])/66 - (1117385*s[13])/264 - 
       (165235*s[14])/264 - (50679*s[15])/8 - (1128217*s[16])/132 - 
       (532421*s[17])/88 - (112393*s[18])/108 - (15719*s[19])/27 - 
       (11919185*s[20])/1188 - (9030709*s[21])/2376 + (6387179*s[22])/2376 + 
       (913283*s[23])/132 + (6556333*s[24])/1188 - (163481173*s[25])/21384 + 
       (91088161*s[26])/21384 + s[32] + 64*s[37] + 233*s[38] - 
       (1665*s[39])/2 + (1803*s[40])/2 - 645*s[41] + 1143*s[42] + 
       (16487*s[43])/22 - (34175*s[44])/44 + (16129*s[45])/22 - 
       (65090*s[46])/11 + (36923*s[47])/132 + (23261*s[48])/132 - 
       (421013*s[49])/132 + (87941*s[50])/22 + (31649*s[51])/44 + 
       (92845*s[52])/132 - (92003*s[53])/33 + (11111*s[54])/22 - 
       (794071*s[55])/44 - (727919*s[56])/132 + (3376295*s[57])/396 - 
       (12271321*s[58])/1188 + (12039139*s[59])/1188 + (36836633*s[60])/792 - 
       (27670933*s[61])/10692 - 8*s[68] - 8*s[69] - 8*s[77] - 44*s[82] - 
       16*s[85]) + HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*
      (-10*s[2] + (271*s[3])/4 + (2741*s[4])/8 + (3581*s[5])/44 + 
       (40993*s[6])/88 + (567335*s[7])/176 - (883495*s[8])/2376 - 
       (70861*s[9])/27 - (19873*s[10])/54 - (6047623*s[11])/1584 - 
       (931609*s[12])/198 - (4592197*s[13])/1584 + (361445*s[14])/1584 - 
       (491897*s[15])/144 - (3928355*s[16])/792 - (4195705*s[17])/1584 - 
       (64247*s[18])/81 - (61055*s[19])/648 - (40833257*s[20])/7128 - 
       (28145365*s[21])/14256 + (23906813*s[22])/14256 + 
       (5245237*s[23])/792 + (20282881*s[24])/7128 - (332449193*s[25])/
        64152 + (169626143*s[26])/64152 + 6*s[30] + 6*s[33] - 4*s[34] - 
       44*s[35] + (21*s[36])/2 + (221*s[37])/4 + 202*s[38] - (6469*s[39])/8 + 
       (7121*s[40])/8 - (5289*s[41])/8 + (9297*s[42])/8 + (51299*s[43])/88 - 
       (124009*s[44])/176 + (37567*s[45])/88 - (198167*s[46])/44 + 
       (67885*s[47])/176 - (17057*s[48])/176 - (450055*s[49])/176 + 
       (33964*s[50])/11 + (447341*s[51])/528 + (128585*s[52])/176 - 
       (262441*s[53])/132 + (15501*s[54])/22 - (2166815*s[55])/176 - 
       (2125163*s[56])/528 + (3980051*s[57])/396 - (41551687*s[58])/4752 + 
       (39391687*s[59])/4752 + (35995247*s[60])/1056 - (9852869*s[61])/5346 - 
       (13*s[62])/2 - 4*s[68] - 4*s[69] - 4*s[70] - 2*s[74] + 2*s[75] - 
       10*s[76] - 4*s[77] + 12*s[78] + 72*s[79] - (53*s[80])/2 - 44*s[82] - 
       16*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((-4*s[2])/3 - (45*s[3])/2 - (57*s[4])/4 - (2887*s[5])/22 - 
       (24235*s[6])/264 - (3846023*s[7])/2376 + (631187*s[8])/7128 + 
       (918085*s[9])/648 + (108251*s[10])/162 + (7391027*s[11])/4752 + 
       (6498163*s[12])/4752 + (1799189*s[13])/2376 + (1299451*s[14])/2376 + 
       (615661*s[15])/216 + (7101071*s[16])/2376 + (4934353*s[17])/1584 + 
       (322217*s[18])/1944 + (988945*s[19])/1944 + (38757677*s[20])/10692 + 
       (29354395*s[21])/21384 - (8840827*s[22])/10692 - 
       (2035355*s[23])/4752 - (88862815*s[24])/42768 + 
       (715944593*s[25])/384912 - (446293073*s[26])/384912 + (4*s[30])/3 - 
       (4*s[34])/3 - 12*s[35] + (19*s[36])/9 - (101*s[37])/18 - 
       (80*s[38])/3 + (707*s[39])/12 - (2665*s[40])/36 + (59*s[41])/3 - 
       (665*s[42])/9 - (71939*s[43])/396 + (47591*s[44])/396 - 
       (139729*s[45])/396 + (59260*s[46])/33 + (70643*s[47])/1188 - 
       (39157*s[48])/297 + (243520*s[49])/297 - (318361*s[50])/198 - 
       (34547*s[51])/1188 + (18589*s[52])/297 + (535333*s[53])/396 + 
       (3573*s[54])/11 + (1158853*s[55])/132 + (1708205*s[56])/1188 + 
       (6392657*s[57])/1782 + (7293005*s[58])/5346 - (22837975*s[59])/10692 - 
       (61768055*s[60])/3564 + (154124093*s[61])/192456 - s[62]/3 + 
       (4*s[68])/3 - (4*s[69])/3 + (2*s[71])/3 - (2*s[74])/3 + (2*s[75])/3 - 
       (7*s[76])/3 + (4*s[77])/3 + (8*s[78])/3 - 8*s[79] + (22*s[80])/9 + 
       31*s[82] - 16*s[85]) + HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*
      (37*s[2] - 73*s[3] - 199*s[4] - (3314*s[5])/11 - (197*s[6])/11 - 
       (131000*s[7])/33 + (5503*s[8])/22 + (7059*s[9])/2 + (2779*s[10])/2 + 
       (171449*s[11])/44 + (41543*s[12])/11 + (226225*s[13])/132 + 
       (42085*s[14])/44 + (20087*s[15])/3 + (926131*s[16])/132 + 
       (854573*s[17])/132 + (6523*s[18])/9 + (17095*s[19])/18 + 
       (911945*s[20])/99 + (1267435*s[21])/396 - (89809*s[22])/44 - 
       (367619*s[23])/132 - (211253*s[24])/44 + (8448113*s[25])/1782 - 
       (5025665*s[26])/1782 + 4*s[27] - 2*s[30] + 26*s[31] - 6*s[32] + 
       26*s[33] - 28*s[34] - 4*s[35] + (74*s[36])/3 - 152*s[38] + 
       (551*s[39])/2 - (1909*s[40])/6 + (545*s[41])/2 - (1721*s[42])/6 - 
       (42611*s[43])/66 + (20057*s[44])/66 - (12197*s[45])/11 + 
       (366683*s[46])/66 + (14659*s[47])/99 - (49849*s[48])/198 + 
       (249173*s[49])/99 - (157891*s[50])/33 - (35837*s[51])/198 - 
       (13525*s[52])/99 + (364808*s[53])/99 + (21694*s[54])/33 + 
       (271072*s[55])/11 + (421625*s[56])/99 + (5026481*s[57])/594 + 
       (8664587*s[58])/1782 - (5669068*s[59])/891 - (15639526*s[60])/297 + 
       (72461329*s[61])/32076 - 8*s[62] - 2*s[65] - 10*s[66] + 16*s[67] + 
       8*s[68] + 34*s[69] - 4*s[70] + 2*s[71] + 8*s[72] - 16*s[73] - 
       8*s[74] + 8*s[75] - 10*s[76] - 10*s[77] + 24*s[78] + 12*s[79] - 
       34*s[80] - 128*s[82] + 6*s[83] - 12*s[84] - 16*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]^2*(14*s[2] - 73*s[3] - 111*s[4] + 
       (3899*s[5])/22 + (3599*s[6])/22 + (11018*s[7])/11 + (24125*s[8])/297 - 
       (28028*s[9])/27 - (11851*s[10])/27 - (397997*s[11])/396 - 
       (154193*s[12])/198 - (182141*s[13])/396 - (341735*s[14])/396 - 
       (28259*s[15])/18 - (739451*s[16])/396 - (838229*s[17])/396 - 
       (47057*s[18])/162 - (5257*s[19])/162 - (2306207*s[20])/891 - 
       (5111939*s[21])/3564 + (2078419*s[22])/3564 - (109073*s[23])/396 + 
       (3666583*s[24])/3564 - (25150577*s[25])/32076 + 
       (29412653*s[26])/32076 - 2*s[30] + 8*s[31] - 6*s[32] + 2*s[33] - 
       18*s[34] - 4*s[35] - (86*s[36])/3 + 4*s[37] + 6*s[38] - 
       (307*s[39])/2 + (853*s[40])/6 - (261*s[41])/2 + (1625*s[42])/6 - 
       (3913*s[43])/66 - (2704*s[44])/33 - (2429*s[45])/11 + 
       (31909*s[46])/66 + (35863*s[47])/198 - (29407*s[48])/99 - 
       (13429*s[49])/198 - (11195*s[50])/33 + (20587*s[51])/99 + 
       (28181*s[52])/198 + (33631*s[53])/99 - (1582*s[54])/33 + 
       (64909*s[55])/22 + (147401*s[56])/198 + (1980295*s[57])/594 - 
       (156988*s[58])/891 + (133841*s[59])/1782 - (7287383*s[60])/1188 + 
       (11051915*s[61])/32076 - 2*s[65] - 10*s[66] + 16*s[67] + 8*s[68] + 
       26*s[69] - 4*s[70] + 2*s[71] + 8*s[72] - 16*s[73] - 8*s[74] + 
       8*s[75] + 8*s[76] - 10*s[77] + 24*s[78] - 8*s[79] - 104*s[82] + 
       6*s[83] - 12*s[84] - 16*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - v]*(23*s[2] - (443*s[3])/4 + (3083*s[4])/24 + 
       (7349*s[5])/33 + (105865*s[6])/264 + (5266061*s[7])/1584 - 
       (1527205*s[8])/7128 - (489857*s[9])/162 - (209015*s[10])/324 - 
       (17615821*s[11])/4752 - (1215884*s[12])/297 - (12273631*s[13])/4752 - 
       (2215861*s[14])/4752 - (1723265*s[15])/432 - (6170095*s[16])/1188 - 
       (17525803*s[17])/4752 - (366439*s[18])/486 - (162635*s[19])/1944 - 
       (137740979*s[20])/21384 - (111084967*s[21])/42768 + 
       (78993443*s[22])/42768 + (5388569*s[23])/1188 + 
       (16733569*s[24])/5346 - (883090079*s[25])/192456 + 
       (514428911*s[26])/192456 + 4*s[28] + 5*s[29] - 4*s[30] + 21*s[31] - 
       9*s[32] + (17*s[33])/4 - (91*s[34])/3 + 4*s[35] - (35*s[36])/2 + 
       (631*s[37])/18 + (1001*s[38])/6 - (5203*s[39])/8 + (5543*s[40])/8 - 
       (13435*s[41])/24 + (23689*s[42])/24 + (128215*s[43])/264 - 
       (255551*s[44])/528 + (36293*s[45])/99 - (2951023*s[46])/792 + 
       (565387*s[47])/1584 - (318815*s[48])/1584 - (3139933*s[49])/1584 + 
       (352747*s[50])/132 + (382339*s[51])/528 + (979745*s[52])/1584 - 
       (4365281*s[53])/2376 + (202981*s[54])/396 - (17373245*s[55])/1584 - 
       (16350677*s[56])/4752 + (13219069*s[57])/1782 - 
       (295012459*s[58])/42768 + (288659737*s[59])/42768 + 
       (266295875*s[60])/9504 - (573552205*s[61])/384912 + s[65]/6 - s[66] + 
       2*s[67] + 16*s[68] - 4*s[69] + 3*s[70] - (13*s[71])/6 + 2*s[72] - 
       22*s[73] - (9*s[74])/2 + (9*s[75])/2 - 17*s[76] - 2*s[77] + 5*s[78] + 
       56*s[79] + (73*s[80])/9 - 236*s[82] + 3*s[83] + 54*s[84] - 16*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*
      ((-59*s[2])/16 - (57*s[3])/32 - (8127*s[4])/64 - (4130*s[5])/33 - 
       (1757425*s[6])/6336 - (23994779*s[7])/9504 + (5406361*s[8])/28512 + 
       (11172085*s[9])/5184 + (3635795*s[10])/5184 + (13049821*s[11])/4752 + 
       (56185799*s[12])/19008 + (3715169*s[13])/2112 + 
       (8238529*s[14])/19008 + (2939723*s[15])/864 + (13548319*s[16])/3168 + 
       (2013733*s[17])/594 + (7601345*s[18])/15552 + (5460397*s[19])/15552 + 
       (54957325*s[20])/10692 + (10238951*s[21])/5346 - 
       (227676293*s[22])/171072 - (8557609*s[23])/3168 - 
       (117392009*s[24])/42768 + (5278893487*s[25])/1539648 - 
       (1503416483*s[26])/769824 - (13*s[30])/24 - (19*s[31])/12 + 
       (11*s[32])/16 - (101*s[33])/96 + (5*s[34])/2 + (31*s[35])/24 + 
       (499*s[36])/72 - (497*s[37])/96 - (11975*s[38])/144 + 
       (12161*s[39])/36 - (27197*s[40])/72 + (85795*s[41])/288 - 
       (140075*s[42])/288 - (245351*s[43])/792 + (4089977*s[44])/12672 - 
       (258927*s[45])/704 + (17860037*s[46])/6336 - (1227773*s[47])/12672 - 
       (868645*s[48])/12672 + (17868215*s[49])/12672 - (3457339*s[50])/1584 - 
       (12566111*s[51])/38016 - (1103689*s[52])/4224 + 
       (29004031*s[53])/19008 - (10891*s[54])/396 + (368943895*s[55])/38016 + 
       (95862055*s[56])/38016 - (120773051*s[57])/57024 + 
       (1464783377*s[58])/342144 - (1495798061*s[59])/342144 - 
       (1765017379*s[60])/76032 + (957446759*s[61])/769824 + s[65]/12 + 
       s[66]/3 - s[67]/3 + (7*s[68])/24 - (23*s[69])/24 + s[70]/6 + 
       (11*s[71])/48 - (19*s[72])/12 + (5*s[73])/12 + (27*s[74])/16 - 
       (27*s[75])/16 + (25*s[76])/12 + (11*s[77])/12 - (31*s[78])/12 - 
       (109*s[79])/4 + (69*s[80])/16 - (581*s[82])/12 - s[83]/4 - 13*s[84] - 
       (29*s[85])/2) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      ((-61*s[2])/16 + (91*s[3])/24 - (2005*s[4])/24 - (14645*s[5])/132 - 
       (41831*s[6])/198 - (77344835*s[7])/38016 + (8029577*s[8])/57024 + 
       (9060517*s[9])/5184 + (3152825*s[10])/5184 + (83185313*s[11])/38016 + 
       (43903037*s[12])/19008 + (17066251*s[13])/12672 + 
       (16290035*s[14])/38016 + (9768593*s[15])/3456 + 
       (11087585*s[16])/3168 + (109826371*s[17])/38016 + 
       (5970371*s[18])/15552 + (76402*s[19])/243 + (725356813*s[20])/171072 + 
       (544326551*s[21])/342144 - (367940845*s[22])/342144 - 
       (1021385*s[23])/528 - (193845055*s[24])/85536 + 
       (4138564069*s[25])/1539648 - (600268705*s[26])/384912 + 
       (17*s[30])/24 - (4*s[31])/3 + (5*s[32])/8 - (19*s[33])/48 + 
       (3*s[34])/2 - (23*s[35])/24 + (35*s[36])/9 - (919*s[37])/288 - 
       (7607*s[38])/144 + (65983*s[39])/288 - (74411*s[40])/288 + 
       (1838*s[41])/9 - (48109*s[42])/144 - (644669*s[43])/3168 + 
       (2827655*s[44])/12672 - (560557*s[45])/2112 + (12684467*s[46])/6336 - 
       (901751*s[47])/12672 - (487843*s[48])/12672 + (12262757*s[49])/12672 - 
       (313367*s[50])/198 - (8793305*s[51])/38016 - (720755*s[52])/4224 + 
       (21083431*s[53])/19008 + (18599*s[54])/1584 + (267569209*s[55])/
        38016 + (68117749*s[56])/38016 - (74875181*s[57])/57024 + 
       (1022384639*s[58])/342144 - (1047321731*s[59])/342144 - 
       (1260453757*s[60])/76032 + (696192263*s[61])/769824 + (5*s[65])/24 + 
       (5*s[66])/6 - (4*s[67])/3 - (5*s[68])/24 - (59*s[69])/24 - s[70]/3 - 
       (13*s[71])/48 - (19*s[72])/12 + (23*s[73])/12 + (5*s[74])/4 - 
       (5*s[75])/4 - s[76]/6 + (5*s[77])/3 - (19*s[78])/12 - (89*s[79])/4 + 
       (427*s[80])/48 - (851*s[82])/12 - (5*s[83])/8 - (31*s[84])/4 - 
       (29*s[85])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*(-4*s[2] - (2191*s[3])/144 - (72233*s[4])/288 - 
       (18121*s[5])/132 - (38026*s[6])/99 - (910631*s[7])/264 + 
       (26247395*s[8])/85536 + (5625511*s[9])/1944 + (6618077*s[10])/7776 + 
       (218522945*s[11])/57024 + (242942695*s[12])/57024 + 
       (18522223*s[13])/7128 + (1508401*s[14])/7128 + (5842921*s[15])/1296 + 
       (82235051*s[16])/14256 + (243666773*s[17])/57024 + 
       (3568583*s[18])/5832 + (6087581*s[19])/11664 + 
       (426477211*s[20])/64152 + (601235197*s[21])/256608 - 
       (465431819*s[22])/256608 - (252568939*s[23])/57024 - 
       (1912428511*s[24])/513216 + (23010000173*s[25])/4618944 - 
       (12128318711*s[26])/4618944 - (5*s[30])/18 - (11*s[31])/9 - 
       (23*s[32])/72 - s[33]/3 + (31*s[34])/18 + (11*s[35])/6 + 
       (2071*s[36])/216 - (253*s[37])/36 - (9529*s[38])/72 + 
       (156917*s[39])/288 - (526411*s[40])/864 + (45353*s[41])/96 - 
       (681647*s[42])/864 - (4359929*s[43])/9504 + (4739681*s[44])/9504 - 
       (1212653*s[45])/2376 + (38822503*s[46])/9504 - (5304367*s[47])/28512 - 
       (340121*s[48])/14256 + (60228823*s[49])/28512 - (1867847*s[50])/594 - 
       (7623961*s[51])/14256 - (778343*s[52])/1782 + (61616645*s[53])/28512 - 
       (5185*s[54])/1188 + (5365813*s[55])/396 + (11205913*s[56])/3168 - 
       (123945307*s[57])/28512 + (139587637*s[58])/21384 - 
       (281966837*s[59])/42768 - (5663505145*s[60])/171072 + 
       (13997422*s[61])/8019 - (13*s[68])/18 + (13*s[69])/18 - (4*s[70])/9 + 
       (5*s[71])/8 - 2*s[72] - s[73] + (91*s[74])/36 - (91*s[75])/36 + 
       (22*s[76])/9 + s[77]/6 - (16*s[78])/9 - (283*s[79])/6 + 
       (407*s[80])/54 - (325*s[82])/12 - 24*s[84] - 14*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((-3*s[2])/4 - (1489*s[3])/144 - (34429*s[4])/288 - 
       (165481*s[5])/1584 - (117341*s[6])/528 - (19356907*s[7])/9504 + 
       (13621835*s[8])/85536 + (6661769*s[9])/3888 + (4435415*s[10])/7776 + 
       (126719489*s[11])/57024 + (136059595*s[12])/57024 + 
       (20269709*s[13])/14256 + (4226447*s[14])/14256 + 
       (7289837*s[15])/2592 + (100203619*s[16])/28512 + 
       (160576313*s[17])/57024 + (2087291*s[18])/5832 + 
       (4005107*s[19])/11664 + (131853959*s[20])/32076 + 
       (384613387*s[21])/256608 - (273741755*s[22])/256608 - 
       (127806517*s[23])/57024 - (1170132829*s[24])/513216 + 
       (12969779219*s[25])/4618944 - (7163527949*s[26])/4618944 - 
       (19*s[30])/36 + (5*s[31])/18 + (13*s[32])/72 + (77*s[33])/48 - 
       (55*s[34])/36 + (26*s[35])/9 + (871*s[36])/216 - (455*s[37])/108 - 
       (3965*s[38])/72 + (71077*s[39])/288 - (242107*s[40])/864 + 
       (60775*s[41])/288 - (310595*s[42])/864 - (1943177*s[43])/9504 + 
       (2143259*s[44])/9504 - (637169*s[45])/2376 + (19206535*s[46])/9504 - 
       (2497423*s[47])/28512 - (89599*s[48])/7128 + (28299517*s[49])/28512 - 
       (934991*s[50])/594 - (1604465*s[51])/7128 - (2646601*s[52])/14256 + 
       (31498439*s[53])/28512 + (57895*s[54])/2376 + (153765*s[55])/22 + 
       (5773195*s[56])/3168 - (51557533*s[57])/28512 + (8425628*s[58])/2673 - 
       (137664269*s[59])/42768 - (2828221657*s[60])/171072 + 
       (58678435*s[61])/64152 - (13*s[68])/18 + (13*s[69])/18 - 
       (17*s[70])/18 - s[71]/8 - s[72] + s[73] + (37*s[74])/36 - 
       (37*s[75])/36 + (13*s[76])/9 + s[77]/6 - (23*s[78])/18 - 
       (151*s[79])/6 + (443*s[80])/54 - (919*s[82])/12 - 12*s[84] - 
       14*s[85]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((-523*s[2])/48 - (3377*s[3])/32 - (118375*s[4])/192 - 
       (127239*s[5])/352 - (2202383*s[6])/2112 - (116591285*s[7])/12672 + 
       (13789753*s[8])/19008 + (3300113*s[9])/432 + (2173217*s[10])/864 + 
       (129059641*s[11])/12672 + (8808497*s[12])/792 + 
       (85554731*s[13])/12672 + (12658585*s[14])/12672 + 
       (14251427*s[15])/1152 + (99476077*s[16])/6336 + 
       (51429385*s[17])/4224 + (996923*s[18])/648 + (8802149*s[19])/5184 + 
       (1031826665*s[20])/57024 + (731205763*s[21])/114048 - 
       (544553675*s[22])/114048 - (64573541*s[23])/6336 - 
       (597432133*s[24])/57024 + (6727890341*s[25])/513216 - 
       (3614534075*s[26])/513216 - (23*s[31])/12 + s[32]/3 - (59*s[33])/32 + 
       (15*s[34])/4 + (31*s[35])/8 + (307*s[36])/18 - (1643*s[37])/72 - 
       (2727*s[38])/8 + (38673*s[39])/32 - (380401*s[40])/288 + 
       (99023*s[41])/96 - (241267*s[42])/144 - (3597095*s[43])/3168 + 
       (7246807*s[44])/6336 - (460909*s[45])/396 + (29355085*s[46])/3168 - 
       (5939585*s[47])/19008 - (5942687*s[48])/19008 + 
       (97916333*s[49])/19008 - (11253865*s[50])/1584 - 
       (21120661*s[51])/19008 - (17400745*s[52])/19008 + 
       (46330577*s[53])/9504 + (76757*s[54])/1584 + (196298537*s[55])/6336 + 
       (49532809*s[56])/6336 - (507437*s[57])/66 + (808594711*s[58])/57024 - 
       (830365717*s[59])/57024 - (8795866559*s[60])/114048 + 
       (1961482181*s[61])/513216 - (5*s[67])/6 + (5*s[68])/6 - s[69]/2 - 
       (5*s[70])/6 + (4*s[71])/3 - (11*s[72])/4 - (3*s[73])/4 + 
       (179*s[74])/48 - (179*s[75])/48 + (21*s[76])/4 + (73*s[77])/24 - 
       (53*s[78])/12 - (194*s[79])/3 + (133*s[80])/36 - 67*s[82] - 
       (73*s[84])/2 - 13*s[85]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*((215*s[2])/48 - (6485*s[3])/96 - 
       (50845*s[4])/192 - (139925*s[5])/1056 - (238595*s[6])/704 - 
       (128925157*s[7])/38016 + (17516513*s[8])/57024 + (3594931*s[9])/1296 + 
       (2212447*s[10])/2592 + (144254111*s[11])/38016 + 
       (20222579*s[12])/4752 + (96882781*s[13])/38016 + 
       (4660355*s[14])/38016 + (15533495*s[15])/3456 + 
       (27188969*s[16])/4752 + (53092579*s[17])/12672 + (586061*s[18])/972 + 
       (9406273*s[19])/15552 + (1123457893*s[20])/171072 + 
       (784033805*s[21])/342144 - (599051413*s[22])/342144 - 
       (42102749*s[23])/9504 - (326154019*s[24])/85536 + 
       (3825828683*s[25])/769824 - (2009386151*s[26])/769824 - 
       (47*s[30])/12 + (9*s[31])/4 - (5*s[32])/4 + (193*s[33])/96 - 
       (43*s[34])/12 + (289*s[35])/24 + (109*s[36])/18 - (1529*s[37])/72 - 
       (3497*s[38])/24 + (15043*s[39])/32 - (143179*s[40])/288 + 
       (34957*s[41])/96 - (90049*s[42])/144 - (1267061*s[43])/3168 + 
       (2555755*s[44])/6336 - (177355*s[45])/396 + (10623139*s[46])/3168 - 
       (3229157*s[47])/19008 - (361655*s[48])/19008 + 
       (34427681*s[49])/19008 - (3920107*s[50])/1584 - 
       (7706005*s[51])/19008 - (7318609*s[52])/19008 + (7971889*s[53])/4752 - 
       (35551*s[54])/1584 + (7601619*s[55])/704 + (6093455*s[56])/2112 - 
       (38347819*s[57])/9504 + (318974963*s[58])/57024 - 
       (317075699*s[59])/57024 - (3121973639*s[60])/114048 + 
       (15058343*s[61])/10692 + (3*s[62])/8 - (5*s[65])/12 - (5*s[66])/3 + 
       (5*s[67])/2 - 3*s[68] + 8*s[69] + s[71]/12 + (17*s[72])/12 - 
       (43*s[73])/12 + (13*s[74])/48 - (13*s[75])/48 + (25*s[76])/4 - 
       (43*s[77])/8 - s[78]/4 + (5*s[79])/6 - (497*s[80])/36 - 127*s[82] + 
       (5*s[83])/4 - 14*s[84] - 13*s[85]) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*((317*s[3])/72 + (137*s[4])/36 - (1346*s[5])/99 - 
       (32591*s[6])/1056 - (102887*s[7])/528 - (37945*s[8])/9504 + 
       (148771*s[9])/864 + (40063*s[10])/432 + (454237*s[11])/2112 + 
       (1250729*s[12])/6336 + (425221*s[13])/3168 + (84283*s[14])/792 + 
       (4865*s[15])/18 + (147835*s[16])/396 + (2264245*s[17])/6336 + 
       (14267*s[18])/2592 + (191281*s[19])/2592 + (12465151*s[20])/28512 + 
       (4460275*s[21])/28512 - (3025139*s[22])/28512 + (910603*s[23])/6336 - 
       (17326717*s[24])/57024 + (127236083*s[25])/513216 - 
       (72129209*s[26])/513216 + (19*s[32])/36 + (73*s[37])/18 + 
       (413*s[38])/72 - (383*s[39])/36 + (155*s[40])/36 + (95*s[41])/12 + 
       (2341*s[42])/144 - (1669*s[43])/396 + (19453*s[44])/1584 - 
       (19183*s[45])/396 + (63113*s[46])/264 + (79091*s[47])/4752 - 
       (105803*s[48])/2376 + (279001*s[49])/4752 - (18629*s[50])/88 + 
       (9673*s[51])/4752 + (34855*s[52])/4752 + (638879*s[53])/4752 + 
       (8507*s[54])/396 + (2364161*s[55])/2376 + (24575*s[56])/99 + 
       (1928543*s[57])/4752 + (3072109*s[58])/14256 - (684085*s[59])/3564 - 
       (4112197*s[60])/1782 + (6357323*s[61])/42768 + (19*s[68])/18 - 
       (19*s[69])/18 + (19*s[77])/18 - (899*s[82])/12 - (38*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - u]*
      ((-19*s[2])/18 + (353*s[3])/36 + (119*s[4])/16 - (4457*s[5])/1584 - 
       (93187*s[6])/3168 - (116711*s[7])/7128 - (796511*s[8])/85536 + 
       (135107*s[9])/7776 + (129605*s[10])/3888 + (814843*s[11])/57024 - 
       (871945*s[12])/57024 + (175919*s[13])/9504 + (2409635*s[14])/28512 + 
       (5431*s[15])/216 + (571471*s[16])/9504 + (6019265*s[17])/57024 - 
       (317365*s[18])/11664 + (345811*s[19])/11664 + (8044603*s[20])/128304 + 
       (1748599*s[21])/128304 - (409199*s[22])/32076 + 
       (5730007*s[23])/19008 - (53019749*s[24])/513216 + 
       (20688649*s[25])/4618944 - (9361051*s[26])/4618944 + (19*s[30])/18 - 
       (19*s[34])/18 - (38*s[35])/9 - (133*s[36])/54 + (3721*s[37])/216 + 
       (421*s[38])/24 - (2135*s[39])/48 + (16175*s[40])/432 - 
       (749*s[41])/48 + (1627*s[42])/27 + (98425*s[43])/4752 - 
       (53101*s[44])/4752 - (80653*s[45])/4752 + (1725*s[46])/88 + 
       (109727*s[47])/3564 - (660751*s[48])/14256 - (2323831*s[49])/28512 - 
       (20029*s[50])/594 + (855875*s[51])/28512 + (113743*s[52])/3564 + 
       (2525*s[53])/198 + (2021*s[54])/176 + (529543*s[55])/2376 + 
       (3005275*s[56])/28512 + (21974911*s[57])/42768 - 
       (24532117*s[58])/256608 + (37756051*s[59])/256608 - 
       (71456861*s[60])/171072 + (76938331*s[61])/1154736 + (19*s[68])/18 - 
       (19*s[69])/18 - (19*s[74])/36 + (19*s[75])/36 - (19*s[76])/9 + 
       (19*s[77])/18 + (19*s[78])/9 - (38*s[79])/9 + (133*s[80])/27 - 
       (809*s[82])/12 - (38*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{0, 1, 1}, 1 - w]*((-31*s[2])/36 + (97*s[3])/36 + (517*s[4])/24 - 
       (3013*s[5])/528 - (46609*s[6])/3168 - (6264967*s[7])/28512 - 
       (590011*s[8])/85536 + (1477945*s[9])/7776 + (135901*s[10])/972 + 
       (12222755*s[11])/57024 + (10134565*s[12])/57024 + 
       (270383*s[13])/4752 + (3206285*s[14])/14256 + (328597*s[15])/864 + 
       (2124439*s[16])/4752 + (28099375*s[17])/57024 + (601583*s[18])/23328 + 
       (1740853*s[19])/23328 + (21531461*s[20])/32076 + 
       (32513087*s[21])/128304 - (29980589*s[22])/256608 + 
       (5797043*s[23])/19008 - (189793051*s[24])/513216 + 
       (852508559*s[25])/4618944 - (788239667*s[26])/4618944 + 
       (17*s[30])/18 + s[31]/9 - s[32]/18 + (5*s[33])/72 - (23*s[34])/18 - 
       (185*s[35])/36 - (8*s[36])/3 + (7*s[37])/9 - (13*s[38])/36 - 
       (883*s[39])/18 + 43*s[40] - (365*s[41])/12 + (13207*s[42])/144 - 
       (7877*s[43])/396 - (1411*s[44])/528 - (25601*s[45])/396 + 
       (2166*s[46])/11 + (7402*s[47])/99 - (25633*s[48])/176 + 
       (8815*s[49])/132 - (73757*s[50])/396 + (563*s[51])/11 + 
       (11089*s[52])/176 + (43585*s[53])/297 + (3327*s[54])/88 + 
       (5960803*s[55])/4752 + (614353*s[56])/2376 + (21544951*s[57])/14256 - 
       (343373*s[58])/2673 + (1975085*s[59])/42768 - (26038823*s[60])/9504 + 
       (23093783*s[61])/192456 + (19*s[68])/18 - (19*s[69])/18 - s[70]/9 + 
       s[72]/9 - s[73]/9 - (2*s[74])/3 + (2*s[75])/3 - (35*s[76])/18 + 
       (11*s[77])/9 + (22*s[78])/9 - (10*s[79])/3 + (29*s[80])/6 - 
       (931*s[82])/12 + (2*s[84])/3 - (38*s[85])/3) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((7*s[2])/18 - (77*s[3])/72 + (743*s[4])/48 - (12107*s[5])/396 - 
       (43973*s[6])/1056 - (15354307*s[7])/28512 + (814063*s[8])/85536 + 
       (3658817*s[9])/7776 + (57866*s[10])/243 + (30693475*s[11])/57024 + 
       (29493275*s[12])/57024 + (7330309*s[13])/28512 + 
       (9040187*s[14])/28512 + (2150633*s[15])/2592 + 
       (27733345*s[16])/28512 + (1992865*s[17])/2112 + 
       (2187355*s[18])/23328 + (2867201*s[19])/23328 + 
       (43695409*s[20])/32076 + (135174647*s[21])/256608 - 
       (8942183*s[22])/32076 + (7679645*s[23])/57024 - 
       (364639127*s[24])/513216 + (2687674537*s[25])/4618944 - 
       (1974123865*s[26])/4618944 + s[31]/9 + (5*s[32])/12 - (7*s[33])/72 + 
       s[34]/18 - s[35]/18 - s[36]/3 + (128*s[37])/27 - (31*s[38])/3 - 
       (3851*s[39])/144 + (347*s[40])/16 - (2417*s[41])/144 + 
       (1679*s[42])/24 - (5497*s[43])/144 + (3653*s[44])/144 - 
       (49525*s[45])/432 + (12076*s[46])/27 + (1850*s[47])/27 - 
       (61099*s[48])/432 + (18307*s[49])/108 - (6757*s[50])/18 + 
       (1723*s[51])/48 + (1979*s[52])/54 + (361991*s[53])/1296 + 
       (6245*s[54])/216 + (158543*s[55])/72 + (76889*s[56])/162 + 
       (6188363*s[57])/3888 + (2370521*s[58])/11664 - (3505115*s[59])/11664 - 
       (4225969*s[60])/864 + (49487329*s[61])/209952 + (19*s[68])/18 - 
       (19*s[69])/18 - s[70]/9 + s[72]/9 - s[73]/9 - s[74]/12 + s[75]/12 + 
       s[76]/18 + (11*s[77])/9 + s[78]/9 + (16*s[79])/9 - (29*s[80])/54 - 
       (841*s[82])/12 + (2*s[84])/3 - (38*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      (-6*s[2] - (185*s[3])/9 - (16571*s[4])/72 - (34621*s[5])/792 - 
       (18543*s[6])/88 - (2579485*s[7])/1584 + (15985*s[8])/66 + 
       (91937*s[9])/72 + (4955*s[10])/36 + (3000043*s[11])/1584 + 
       (892321*s[12])/396 + (1147075*s[13])/792 - (219383*s[14])/528 + 
       (293071*s[15])/144 + (4220989*s[16])/1584 + (111037*s[17])/66 + 
       (2114*s[18])/9 + (1665*s[19])/8 + (3994931*s[20])/1584 + 
       (484423*s[21])/594 - (3990337*s[22])/4752 - (742969*s[23])/198 - 
       (3561061*s[24])/2376 + (116382733*s[25])/42768 - 
       (26775269*s[26])/21384 - 4*s[30] - 5*s[31] - (43*s[32])/18 - 
       (49*s[33])/4 + 15*s[34] + 6*s[35] + (295*s[36])/12 - (415*s[37])/12 - 
       (2863*s[38])/18 + (112357*s[39])/144 - (119833*s[40])/144 + 
       (31793*s[41])/48 - (171539*s[42])/144 - (79457*s[43])/144 + 
       (190057*s[44])/288 - (33397*s[45])/72 + (76625*s[46])/16 - 
       (364927*s[47])/864 + (222371*s[48])/864 + (2299261*s[49])/864 - 
       (11003*s[50])/3 - (682493*s[51])/864 - (526247*s[52])/864 + 
       (68749*s[53])/27 - (899*s[54])/9 + (13346425*s[55])/864 + 
       (131825*s[56])/32 - (1581083*s[57])/216 + (7067953*s[58])/864 - 
       (7195523*s[59])/864 - (194216767*s[60])/5184 + 
       (45059843*s[61])/23328 - 2*s[63] - s[64]/2 + (3*s[65])/2 + 5*s[66] - 
       9*s[67] - (61*s[68])/9 - (83*s[69])/9 - 4*s[71] - 10*s[72] + 
       (17*s[73])/2 + 6*s[74] - (13*s[75])/2 + 4*s[76] + (2*s[77])/9 - 
       (27*s[78])/2 - 59*s[79] + 23*s[80] - (398*s[82])/3 - (21*s[83])/4 + 
       (3*s[84])/2 - (38*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*((113*s[2])/18 - 
       (977*s[3])/18 + (3345*s[4])/8 - (33523*s[5])/792 + (67387*s[6])/396 + 
       (37491695*s[7])/14256 - (9365231*s[8])/21384 - (2138333*s[9])/972 - 
       (46667*s[10])/486 - (5606731*s[11])/1782 - (57605263*s[12])/14256 - 
       (12361559*s[13])/4752 + (17702401*s[14])/14256 - (1183039*s[15])/432 - 
       (18039277*s[16])/4752 - (20870395*s[17])/14256 - 
       (4359529*s[18])/11664 - (2270261*s[19])/11664 - 
       (235143715*s[20])/64152 - (27238169*s[21])/32076 + 
       (186583465*s[22])/128304 + (16748441*s[23])/2376 + 
       (271419541*s[24])/128304 - (1368896873*s[25])/288684 + 
       (2181683279*s[26])/1154736 - s[29] + (11*s[30])/9 + 11*s[31] - 
       2*s[32] + (43*s[33])/2 - (254*s[34])/9 - (17*s[35])/9 - 
       (635*s[36])/27 + (2041*s[37])/54 + (2489*s[38])/12 - (3581*s[39])/4 + 
       (106031*s[40])/108 - (3093*s[41])/4 + (147469*s[42])/108 + 
       (738901*s[43])/1188 - (3459595*s[44])/4752 + (721045*s[45])/2376 - 
       (1163651*s[46])/264 + (6316445*s[47])/14256 - (4113073*s[48])/14256 - 
       (9940331*s[49])/3564 + (3993205*s[50])/1188 + (849220*s[51])/891 + 
       (10635415*s[52])/14256 - (1761179*s[53])/792 + (99791*s[54])/264 - 
       (61775995*s[55])/4752 - (12632749*s[56])/3564 + 
       (100619359*s[57])/10692 - (522081457*s[58])/64152 + 
       (265225247*s[59])/32076 + (724806719*s[60])/21384 - 
       (1660635281*s[61])/1154736 - s[64]/2 - s[65]/2 - 2*s[66] + 4*s[67] + 
       (20*s[68])/9 + (61*s[69])/9 - 8*s[70] + s[71]/2 + 6*s[72] - 12*s[73] - 
       (137*s[74])/18 + (64*s[75])/9 - (85*s[76])/9 + (20*s[77])/9 + 
       (85*s[78])/9 + (1324*s[79])/9 - (1591*s[80])/54 - (803*s[82])/3 - 
       (9*s[83])/4 + (111*s[84])/2 - (38*s[85])/3) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 1 - v]*
      (43*s[2] - (1215*s[3])/4 - (10989*s[4])/8 + (15987*s[5])/44 - 
       (62787*s[6])/88 - (9586451*s[7])/1584 + (3284657*s[8])/2376 + 
       (456095*s[9])/108 + (5749*s[10])/108 + (11710355*s[11])/1584 + 
       (7882223*s[12])/792 + (1110283*s[13])/176 - (5345647*s[14])/1584 + 
       (284467*s[15])/48 + (1200497*s[16])/132 + (4928497*s[17])/1584 + 
       (298135*s[18])/324 + (442381*s[19])/648 + (56161807*s[20])/7128 + 
       (17519135*s[21])/14256 - (42254959*s[22])/14256 - (1599971*s[23])/88 - 
       (36856499*s[24])/7128 + (753779353*s[25])/64152 - 
       (282974773*s[26])/64152 - 14*s[28] + 8*s[29] - 21*s[30] + 26*s[31] + 
       (11*s[32])/2 - (193*s[33])/4 - 35*s[34] + 35*s[35] + s[36] - 
       (220*s[37])/3 - 343*s[38] + (6833*s[39])/4 - (7925*s[40])/4 + 
       (6447*s[41])/4 - (10847*s[42])/4 - (54583*s[43])/44 + 
       (63685*s[44])/44 - (173515*s[45])/132 + (379528*s[46])/33 - 
       (66127*s[47])/66 + (67759*s[48])/132 + (350797*s[49])/66 - 
       (91669*s[50])/11 - (271253*s[51])/132 - (54493*s[52])/33 + 
       (2267279*s[53])/396 - (53153*s[54])/33 + (4693651*s[55])/132 + 
       (1105717*s[56])/99 - (5968132*s[57])/297 + (74534375*s[58])/3564 - 
       (71446709*s[59])/3564 - (69341839*s[60])/792 + 
       (161526263*s[61])/32076 + 12*s[63] - 6*s[65] - 12*s[66] + 16*s[67] - 
       22*s[68] + 14*s[69] - 47*s[70] + 5*s[71] - 10*s[72] + 10*s[73] + 
       (21*s[74])/2 - (19*s[75])/2 + 19*s[76] + 30*s[77] - 34*s[78] - 
       224*s[79] + (13*s[80])/3 + 294*s[82] + 9*s[83] - 96*s[84] - 
       12*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 1}, 1 - v]*
      ((125*s[2])/4 - (753*s[3])/8 + (2485*s[4])/16 + (49365*s[5])/88 + 
       (69005*s[6])/176 + (23937781*s[7])/3168 - (1686659*s[8])/4752 - 
       (724855*s[9])/108 - (291461*s[10])/108 - (25456283*s[11])/3168 - 
       (6311341*s[12])/792 - (14453629*s[13])/3168 - (3992459*s[14])/3168 - 
       (3381659*s[15])/288 - (10856785*s[16])/792 - (12954695*s[17])/1056 - 
       (70436*s[18])/81 - (2581075*s[19])/1296 - (226573879*s[20])/14256 - 
       (177155393*s[21])/28512 + (118536937*s[22])/28512 + 
       (529570*s[23])/99 + (65078983*s[24])/7128 - (1248726199*s[25])/
        128304 + (729831919*s[26])/128304 + s[30]/2 + 18*s[31] - 
       (45*s[32])/2 + (93*s[33])/4 - (111*s[34])/2 + (139*s[35])/2 - 
       (1073*s[36])/6 + (149*s[37])/12 + (447*s[38])/2 - (3499*s[39])/4 + 
       (10075*s[40])/12 - 615*s[41] + (13979*s[42])/12 + (86399*s[43])/132 - 
       (442067*s[44])/528 + (162631*s[45])/264 - (1461023*s[46])/264 + 
       (235717*s[47])/1584 - (78839*s[48])/1584 - (6664663*s[49])/1584 + 
       (164909*s[50])/33 + (801089*s[51])/1584 + (455375*s[52])/1584 - 
       (708067*s[53])/198 - (118661*s[54])/66 - (11207203*s[55])/528 - 
       (1526755*s[56])/528 + (1531375*s[57])/792 - (11687105*s[58])/1584 + 
       (4953133*s[59])/528 + (468808075*s[60])/9504 - 
       (68410295*s[61])/42768 - 2*s[64] - 9*s[65] - 20*s[66] + 30*s[67] - 
       10*s[68] + 62*s[69] - 47*s[70] + 8*s[71] + 21*s[72] - 37*s[73] - 
       (63*s[74])/4 + (43*s[75])/4 + 2*s[76] + (29*s[77])/2 + 61*s[78] - 
       76*s[79] + (317*s[80])/6 + s[81]/3 + 294*s[82] + 9*s[83] - 96*s[84] - 
       12*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - u]*((-187*s[2])/4 + (341*s[3])/8 - 
       (13039*s[4])/16 - (117735*s[5])/176 - (33681*s[6])/22 - 
       (42086147*s[7])/3168 + (192475*s[8])/198 + (1621081*s[9])/144 + 
       (500405*s[10])/144 + (15454651*s[11])/1056 + (8358881*s[12])/528 + 
       (30306649*s[13])/3168 + (1865005*s[14])/1056 + (5173955*s[15])/288 + 
       (35787239*s[16])/1584 + (56075717*s[17])/3168 + (1056583*s[18])/432 + 
       (829733*s[19])/432 + (125618363*s[20])/4752 + (31637303*s[21])/3168 - 
       (66737155*s[22])/9504 - (24925477*s[23])/1584 - 
       (68508035*s[24])/4752 + (174661517*s[25])/9504 - 
       (98473445*s[26])/9504 + (17*s[30])/2 - 22*s[31] + (13*s[32])/2 - 
       (125*s[33])/8 + (73*s[34])/2 + (7*s[35])/2 + (553*s[36])/6 - 
       (407*s[37])/8 - (2309*s[38])/4 + (17005*s[39])/8 - (54679*s[40])/24 + 
       (7409*s[41])/4 - (18683*s[42])/6 - (488393*s[43])/264 + 
       (1016503*s[44])/528 - (285875*s[45])/176 + (7760245*s[46])/528 - 
       (1156691*s[47])/1584 - (240281*s[48])/1584 + (13423841*s[49])/1584 - 
       (1501009*s[50])/132 - (3368683*s[51])/1584 - (2648977*s[52])/1584 + 
       (12365603*s[53])/1584 + (44651*s[54])/264 + (8470625*s[55])/176 + 
       (19570937*s[56])/1584 - (18957197*s[57])/1188 + 
       (83263039*s[58])/3564 - (343904689*s[59])/14256 - 
       (568851967*s[60])/4752 + (1527217445*s[61])/256608 - (3*s[62])/4 + 
       4*s[65] + 16*s[66] - 26*s[67] - (25*s[68])/2 - (79*s[69])/2 - 
       (13*s[70])/2 + (5*s[71])/4 - 16*s[72] + 32*s[73] + 17*s[74] - 
       17*s[75] + 3*s[76] + (19*s[77])/2 - 32*s[78] - 84*s[79] - 
       (99*s[80])/4 + 132*s[82] - 12*s[83] - 72*s[84] - 12*s[85]) + 
     HPL[{0, 1}, 1 - v]*Nt[u, v, w]*(-6*s[2] + (13*s[3])/12 - (1783*s[4])/8 - 
       (48919*s[5])/264 - (114689*s[6])/264 - (6198923*s[7])/1584 + 
       (2263519*s[8])/7128 + (537893*s[9])/162 + (669199*s[10])/648 + 
       (5084755*s[11])/1188 + (22136363*s[12])/4752 + (13199845*s[13])/4752 + 
       (2670313*s[14])/4752 + (2255813*s[15])/432 + (7849591*s[16])/1188 + 
       (12193079*s[17])/2376 + (181814*s[18])/243 + (513913*s[19])/972 + 
       (84015781*s[20])/10692 + (123424621*s[21])/42768 - 
       (88273463*s[22])/42768 - (21644567*s[23])/4752 - 
       (180082673*s[24])/42768 + (1040756627*s[25])/192456 - 
       (72582613*s[26])/24057 - s[30]/3 - (8*s[31])/3 + (3*s[32])/2 - 
       (17*s[33])/12 + 4*s[34] + (7*s[35])/3 + (88*s[36])/9 - (31*s[37])/2 - 
       (757*s[38])/6 + (6541*s[39])/12 - (21991*s[40])/36 + (957*s[41])/2 - 
       (14407*s[42])/18 - (184373*s[43])/396 + (401689*s[44])/792 - 
       (23481*s[45])/44 + (422525*s[46])/99 - (232795*s[47])/1188 - 
       (19757*s[48])/594 + (2533207*s[49])/1188 - (324446*s[50])/99 - 
       (649217*s[51])/1188 - (1031047*s[52])/2376 + (678772*s[53])/297 - 
       (44989*s[54])/396 + (475963*s[55])/33 + (4576201*s[56])/1188 - 
       (3601000*s[57])/891 + (35840311*s[58])/5346 - (72514067*s[59])/10692 - 
       (30876677*s[60])/891 + (359170489*s[61])/192456 + s[65]/6 + 
       (2*s[66])/3 - (2*s[67])/3 - (2*s[68])/3 - (2*s[69])/3 + s[70]/3 - 
       s[71]/6 - (8*s[72])/3 + (4*s[73])/3 + 3*s[74] - 3*s[75] + 
       (11*s[76])/3 + s[77]/3 - (14*s[78])/3 - 54*s[79] + (43*s[80])/3 - 
       68*s[82] - s[83]/2 - 23*s[84] - 12*s[85]) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]^3*(-3*s[2] - (101*s[3])/32 - 
       (7419*s[4])/64 - (15751*s[5])/176 - (310177*s[6])/1408 - 
       (3143557*s[7])/1584 + (5922479*s[8])/38016 + (5805757*s[9])/3456 + 
       (918895*s[10])/1728 + (55180463*s[11])/25344 + 
       (60110341*s[12])/25344 + (9011311*s[13])/6336 + (431495*s[14])/1584 + 
       (761401*s[15])/288 + (42520847*s[16])/12672 + (21957317*s[17])/8448 + 
       (3808865*s[18])/10368 + (3016867*s[19])/10368 + 
       (226523087*s[20])/57024 + (41264701*s[21])/28512 - 
       (119227289*s[22])/114048 - (57132893*s[23])/25344 - 
       (495777553*s[24])/228096 + (5661668435*s[25])/2052864 - 
       (3132081059*s[26])/2052864 - s[31] + s[32]/4 - (23*s[33])/32 + 
       (9*s[34])/8 + (9*s[36])/2 - 4*s[37] - (267*s[38])/4 + 
       (4321*s[39])/16 - (4881*s[40])/16 + (15473*s[41])/64 - 
       (24869*s[42])/64 - (21797*s[43])/88 + (362465*s[44])/1408 - 
       (154067*s[45])/528 + (1181633*s[46])/528 - (335717*s[47])/4224 - 
       (233945*s[48])/4224 + (4729727*s[49])/4224 - (151845*s[50])/88 - 
       (1114541*s[51])/4224 - (907765*s[52])/4224 + (7586107*s[53])/6336 - 
       (32909*s[54])/1056 + (10726765*s[55])/1408 + (25504669*s[56])/12672 - 
       (17539507*s[57])/9504 + (393141707*s[58])/114048 - 
       (398567465*s[59])/114048 - (466639903*s[60])/25344 + 
       (1013739923*s[61])/1026432 + s[71]/4 - s[72] + s[74] - s[75] + 
       (3*s[76])/2 + s[77]/4 - s[78] - 25*s[79] + (31*s[80])/6 - 36*s[82] - 
       12*s[84] - 12*s[85]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^4*
      (-s[2] - (79*s[3])/16 - (1015*s[4])/16 - (11999*s[5])/176 - 
       (214465*s[6])/1408 - (17136257*s[7])/12672 + (1237153*s[8])/12672 + 
       (1325201*s[9])/1152 + (227015*s[10])/576 + (12379211*s[11])/8448 + 
       (13221677*s[12])/8448 + (5843873*s[13])/6336 + (144557*s[14])/528 + 
       (2124017*s[15])/1152 + (7341403*s[16])/3168 + (47422093*s[17])/25344 + 
       (896723*s[18])/3456 + (694975*s[19])/3456 + (53273597*s[20])/19008 + 
       (2192359*s[21])/2112 - (26993611*s[22])/38016 - 
       (33733213*s[23])/25344 - (114375383*s[24])/76032 + 
       (414789491*s[25])/228096 - (237911303*s[26])/228096 - s[30]/8 - 
       s[31]/4 + (3*s[32])/16 - s[33]/8 + s[34]/4 + s[35]/4 + 
       (103*s[36])/48 - (43*s[37])/24 - (289*s[38])/8 + (9583*s[39])/64 - 
       (32809*s[40])/192 + (2143*s[41])/16 - (5131*s[42])/24 - 
       (305135*s[43])/2112 + (160387*s[44])/1056 - (207241*s[45])/1056 + 
       (2970763*s[46])/2112 - (235879*s[47])/6336 - (85543*s[48])/1584 + 
       (2098787*s[49])/3168 - (576029*s[50])/528 - (949643*s[51])/6336 - 
       (730937*s[52])/6336 + (4833527*s[53])/6336 - (11587*s[54])/1056 + 
       (5201389*s[55])/1056 + (2731061*s[56])/2112 - (1706795*s[57])/2112 + 
       (39586967*s[58])/19008 - (5011747*s[59])/2376 - 
       (445375549*s[60])/38016 + (221902721*s[61])/342144 + s[71]/16 - 
       s[72]/2 - s[73]/2 + (5*s[74])/8 - (5*s[75])/8 + s[76]/2 + s[77]/4 - 
       s[78]/2 - (53*s[79])/4 + (41*s[80])/12 - 60*s[82] - 6*s[84] - 
       12*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w]*(23*s[2] - (75*s[3])/8 + (12611*s[4])/16 + 
       (67439*s[5])/176 + (43771*s[6])/44 + (30685849*s[7])/3168 - 
       (2278169*s[8])/2376 - (3555449*s[9])/432 - (777223*s[10])/432 - 
       (34556095*s[11])/3168 - (19879345*s[12])/1584 - (8079581*s[13])/1056 + 
       (288527*s[14])/3168 - (376637*s[15])/32 - (2715033*s[16])/176 - 
       (32473799*s[17])/3168 - (2631415*s[18])/1296 - (1063403*s[19])/1296 - 
       (254680475*s[20])/14256 - (179583337*s[21])/28512 + 
       (147225779*s[22])/28512 + (8629799*s[23])/528 + 
       (131975497*s[24])/14256 - (3702317227*s[25])/256608 + 
       (1914533755*s[26])/256608 + 2*s[30] + 17*s[31] - (29*s[32])/4 + 
       28*s[33] - 26*s[34] + (29*s[35])/2 - (253*s[36])/12 + 
       (1243*s[37])/24 + 522*s[38] - (35011*s[39])/16 + (117589*s[40])/48 - 
       (30335*s[41])/16 + (153401*s[42])/48 + (908543*s[43])/528 - 
       (2004385*s[44])/1056 + (905237*s[45])/528 - (1934203*s[46])/132 + 
       (2926403*s[47])/3168 - (556879*s[48])/3168 - (24507185*s[49])/3168 + 
       (364427*s[50])/33 + (7060081*s[51])/3168 + (5723371*s[52])/3168 - 
       (2984525*s[53])/396 + (29819*s[54])/33 - (49618847*s[55])/1056 - 
       (4536887*s[56])/352 + (1954429*s[57])/99 - (233439377*s[58])/9504 + 
       (232700861*s[59])/9504 + (2216981237*s[60])/19008 - 
       (28737617*s[61])/4752 + s[65] + 4*s[66] - 2*s[67] + (5*s[68])/2 - 
       (13*s[69])/2 - 11*s[70] - s[71] + 4*s[72] - (33*s[74])/4 + 
       (33*s[75])/4 - 23*s[76] + s[77] - 5*s[78] + 242*s[79] - 
       (713*s[80])/12 - 228*s[82] - 3*s[83] + 90*s[84] - 12*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((-1817*s[2])/144 + (927*s[3])/32 - (17909*s[4])/64 - 
       (116855*s[5])/396 - (3724351*s[6])/6336 - (591641191*s[7])/114048 + 
       (66530269*s[8])/171072 + (4341953*s[9])/972 + (10257815*s[10])/7776 + 
       (646536001*s[11])/114048 + (87253543*s[12])/14256 + 
       (139149089*s[13])/38016 + (89097829*s[14])/114048 + 
       (8003609*s[15])/1152 + (6914497*s[16])/792 + (779409887*s[17])/
        114048 + (24550091*s[18])/23328 + (27718043*s[19])/46656 + 
       (5340560519*s[20])/513216 + (4069037263*s[21])/1026432 - 
       (2831004851*s[22])/1026432 - (15384871*s[23])/2376 - 
       (345154613*s[24])/64152 + (32714591405*s[25])/4618944 - 
       (18664921589*s[26])/4618944 + (37*s[30])/9 - (287*s[31])/36 + 
       (83*s[32])/36 - (2417*s[33])/288 + (146*s[34])/9 + (277*s[35])/72 + 
       (538*s[36])/27 - (2621*s[37])/432 - (6841*s[38])/36 + 
       (243185*s[39])/288 - (800243*s[40])/864 + (212479*s[41])/288 - 
       (1090747*s[42])/864 - (6356749*s[43])/9504 + (14364749*s[44])/19008 - 
       (6124999*s[45])/9504 + (13830581*s[46])/2376 - 
       (18708883*s[47])/57024 + (2210147*s[48])/57024 + 
       (179525485*s[49])/57024 - (21304649*s[50])/4752 - 
       (48315929*s[51])/57024 - (37869203*s[52])/57024 + 
       (88462927*s[53])/28512 - (55465*s[54])/594 + (362871455*s[55])/19008 + 
       (32037391*s[56])/6336 - (25242865*s[57])/3564 + 
       (1621537051*s[58])/171072 - (1651776433*s[59])/171072 - 
       (15902548885*s[60])/342144 + (1253327683*s[61])/513216 + s[63] + 
       (19*s[65])/18 + (38*s[66])/9 - (125*s[67])/18 - (16*s[68])/9 - 
       (118*s[69])/9 + (11*s[70])/9 - (19*s[71])/72 - (223*s[72])/36 + 
       (115*s[73])/12 + (323*s[74])/48 - (323*s[75])/48 - (181*s[76])/36 + 
       (367*s[77])/72 - (445*s[78])/36 - (1231*s[79])/18 + (4783*s[80])/216 - 
       21*s[82] - (19*s[83])/6 - (55*s[84])/2 - (31*s[85])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      ((-1193*s[2])/144 + (2983*s[3])/288 - (37349*s[4])/576 - 
       (286745*s[5])/1584 - (1910495*s[6])/6336 - (288881965*s[7])/114048 + 
       (7735949*s[8])/57024 + (5734763*s[9])/2592 + (514345*s[10])/648 + 
       (11422189*s[11])/4224 + (6594121*s[12])/2376 + 
       (184042469*s[13])/114048 + (9294331*s[14])/12672 + 
       (36805531*s[15])/10368 + (31476695*s[16])/7128 + 
       (431512513*s[17])/114048 + (696929*s[18])/1296 + (549049*s[19])/1728 + 
       (310793545*s[20])/57024 + (739875871*s[21])/342144 - 
       (461866927*s[22])/342144 - (63538075*s[23])/28512 - 
       (236991133*s[24])/85536 + (4936238993*s[25])/1539648 - 
       (3049444235*s[26])/1539648 + (19*s[30])/18 - (137*s[31])/36 + 
       (89*s[32])/18 - (379*s[33])/288 + (235*s[34])/36 + (143*s[35])/72 + 
       (322*s[36])/27 - (77*s[37])/24 - (3793*s[38])/72 + (82315*s[39])/288 - 
       (274121*s[40])/864 + (24361*s[41])/96 - (370789*s[42])/864 - 
       (206837*s[43])/864 + (121447*s[44])/432 - (20575*s[45])/72 + 
       (1996883*s[46])/864 - (104207*s[47])/1296 - (121567*s[48])/2592 + 
       (1535825*s[49])/1296 - (781033*s[50])/432 - (718067*s[51])/2592 - 
       (539765*s[52])/2592 + (102716*s[53])/81 + (1348*s[54])/27 + 
       (6771823*s[55])/864 + (2630357*s[56])/1296 - (16262239*s[57])/7776 + 
       (2591056*s[58])/729 - (84833447*s[59])/23328 - (36277955*s[60])/1944 + 
       (434999899*s[61])/419904 + (23*s[65])/36 + (23*s[66])/9 - 
       (37*s[67])/9 + (7*s[68])/18 - (82*s[69])/9 + (2*s[70])/9 - 
       (5*s[71])/36 - (83*s[72])/36 + (145*s[73])/36 + (409*s[74])/144 - 
       (409*s[75])/144 + (13*s[76])/12 + (239*s[77])/72 - (247*s[78])/36 - 
       9*s[79] - (53*s[80])/36 - 71*s[82] - (23*s[83])/12 - 5*s[84] - 
       (31*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - v]*
      ((-55*s[2])/12 - s[3]/2 - (5339*s[4])/24 - (35021*s[5])/264 - 
       (93061*s[6])/264 - (1292461*s[7])/396 + (85150*s[8])/297 + 
       (74363*s[9])/27 + (85705*s[10])/108 + (5712323*s[11])/1584 + 
       (3169541*s[12])/792 + (7651271*s[13])/3168 + (836377*s[14])/3168 + 
       (611897*s[15])/144 + (17191529*s[16])/3168 + (2128457*s[17])/528 + 
       (798847*s[18])/1296 + (279115*s[19])/648 + (11295781*s[20])/1782 + 
       (32496227*s[21])/14256 - (24554083*s[22])/14256 - 
       (13540363*s[23])/3168 - (98082929*s[24])/28512 + 
       (1192500643*s[25])/256608 - (643211923*s[26])/256608 - s[30]/3 - 
       (7*s[31])/3 + (19*s[32])/24 - (33*s[33])/16 + (13*s[34])/4 + s[35]/3 + 
       (215*s[36])/24 - (37*s[37])/3 - (1513*s[38])/12 + (50161*s[39])/96 - 
       (56057*s[40])/96 + (44389*s[41])/96 - (73289*s[42])/96 - 
       (464851*s[43])/1056 + (82315*s[44])/176 - (746461*s[45])/1584 + 
       (4081687*s[46])/1056 - (101501*s[47])/528 - (3607*s[48])/352 + 
       (2098747*s[49])/1056 - (781925*s[50])/264 - (820901*s[51])/1584 - 
       (150715*s[52])/352 + (6479365*s[53])/3168 - (19809*s[54])/176 + 
       (40647113*s[55])/3168 + (10863185*s[56])/3168 - 
       (39899657*s[57])/9504 + (88545887*s[58])/14256 - 
       (89424791*s[59])/14256 - (593530015*s[60])/19008 + 
       (423643867*s[61])/256608 + s[70]/2 + (3*s[71])/8 - 2*s[72] + s[73] + 
       (29*s[74])/12 - (29*s[75])/12 + (10*s[76])/3 + s[77]/3 - (5*s[78])/2 - 
       (105*s[79])/2 + (34*s[80])/3 + (11*s[82])/2 - 24*s[84] - 10*s[85]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]^2*((-127*s[2])/24 - (171*s[3])/16 - 
       (24193*s[4])/96 - (6233*s[5])/32 - (45203*s[6])/96 - 
       (7139941*s[7])/1728 + (292967*s[8])/864 + (1507291*s[9])/432 + 
       (920557*s[10])/864 + (435223*s[11])/96 + (2849533*s[12])/576 + 
       (5136755*s[13])/1728 + (33475*s[14])/64 + (9496499*s[15])/1728 + 
       (187886*s[16])/27 + (2321443*s[17])/432 + (681095*s[18])/864 + 
       (490841*s[19])/864 + (7080329*s[20])/864 + (15589453*s[21])/5184 - 
       (11239195*s[22])/5184 - (8645185*s[23])/1728 - (22979803*s[24])/5184 + 
       (33593069*s[25])/5832 - (74369519*s[26])/23328 + (5*s[30])/12 - 
       (13*s[31])/6 + s[32]/12 - (47*s[33])/48 + (10*s[34])/3 + 
       (25*s[35])/12 + (221*s[36])/18 - (263*s[37])/16 - (1197*s[38])/8 + 
       (29221*s[39])/48 - (97033*s[40])/144 + (25423*s[41])/48 - 
       (256423*s[42])/288 - (832169*s[43])/1584 + (3507113*s[44])/6336 - 
       (204623*s[45])/352 + (14777143*s[46])/3168 - (4179955*s[47])/19008 - 
       (727495*s[48])/19008 + (45053863*s[49])/19008 - (2827063*s[50])/792 - 
       (11758061*s[51])/19008 - (9387437*s[52])/19008 + 
       (23633087*s[53])/9504 - (24821*s[54])/198 + (33022289*s[55])/2112 + 
       (79018801*s[56])/19008 - (65122345*s[57])/14256 + 
       (1260104801*s[58])/171072 - (1275472589*s[59])/171072 - 
       (4311431635*s[60])/114048 + (1558487167*s[61])/769824 + s[65]/6 + 
       (2*s[66])/3 - (4*s[67])/3 - (11*s[68])/6 - (4*s[69])/3 - s[70]/3 + 
       (11*s[71])/24 - (13*s[72])/6 + (11*s[73])/6 + (71*s[74])/24 - 
       (71*s[75])/24 + (5*s[76])/2 - (5*s[77])/12 - (17*s[78])/6 - 
       (93*s[79])/2 + (59*s[80])/8 - 25*s[82] - s[83]/2 - 24*s[84] - 
       10*s[85]) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((-11*s[2])/6 - (39*s[3])/16 - (11197*s[4])/96 - (49249*s[5])/528 - 
       (81875*s[6])/352 - (1640533*s[7])/792 + (805451*s[8])/4752 + 
       (1517207*s[9])/864 + (477787*s[10])/864 + (449465*s[11])/198 + 
       (490819*s[12])/198 + (4683763*s[13])/3168 + (956603*s[14])/3168 + 
       (98417*s[15])/36 + (5527901*s[16])/1584 + (1421207*s[17])/528 + 
       (1048717*s[18])/2592 + (714125*s[19])/2592 + (59321803*s[20])/14256 + 
       (43510493*s[21])/28512 - (15559451*s[22])/14256 - 
       (2516311*s[23])/1056 - (63459499*s[24])/28512 + 
       (735582293*s[25])/256608 - (102701927*s[26])/64152 - s[30]/12 - 
       (5*s[31])/6 + (2*s[32])/3 - s[33]/8 + s[34] + (5*s[35])/6 + 
       (11*s[36])/3 - (27*s[37])/4 - (257*s[38])/4 + (4433*s[39])/16 - 
       (14915*s[40])/48 + (2945*s[41])/12 - (3229*s[42])/8 - 
       (124985*s[43])/528 + (273595*s[44])/1056 - (148787*s[45])/528 + 
       (194319*s[46])/88 - (313297*s[47])/3168 - (85003*s[48])/3168 + 
       (1717571*s[49])/1584 - (223219*s[50])/132 - (55007*s[51])/198 - 
       (707045*s[52])/3168 + (1846463*s[53])/1584 - (27757*s[54])/528 + 
       (23431433*s[55])/3168 + (792437*s[56])/396 - (641447*s[57])/297 + 
       (24941099*s[58])/7128 - (24941567*s[59])/7128 - 
       (170468459*s[60])/9504 + (250931015*s[61])/256608 - s[72] + 
       (17*s[74])/12 - (17*s[75])/12 + (4*s[76])/3 + s[77]/3 - s[78] - 
       28*s[79] + (47*s[80])/6 - (91*s[82])/2 - 12*s[84] - 10*s[85]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w]^2*((-7*s[2])/24 - (545*s[3])/48 - 
       (10921*s[4])/96 - (101381*s[5])/1056 - (237547*s[6])/1056 - 
       (2326799*s[7])/1188 + (2280925*s[8])/14256 + (4273777*s[9])/2592 + 
       (347339*s[10])/648 + (5057083*s[11])/2376 + (43655965*s[12])/19008 + 
       (956873*s[13])/704 + (5862371*s[14])/19008 + (191735*s[15])/72 + 
       (21189875*s[16])/6336 + (12611719*s[17])/4752 + (368851*s[18])/972 + 
       (2172331*s[19])/7776 + (169538195*s[20])/42768 + 
       (248996393*s[21])/171072 - (174708217*s[22])/171072 - 
       (296563*s[23])/132 - (45603515*s[24])/21384 + (4132463105*s[25])/
        1539648 - (2317341791*s[26])/1539648 - (7*s[30])/6 + s[31]/3 - 
       (5*s[32])/6 + (11*s[33])/12 - (13*s[34])/12 + (23*s[35])/12 + 
       (161*s[36])/72 - (1247*s[37])/144 - (1243*s[38])/24 + 241*s[39] - 
       (19427*s[40])/72 + (5023*s[41])/24 - (103075*s[42])/288 - 
       (160747*s[43])/792 + (695263*s[44])/3168 - (801469*s[45])/3168 + 
       (6255707*s[46])/3168 - (884933*s[47])/9504 - (66929*s[48])/9504 + 
       (274897*s[49])/297 - (149315*s[50])/99 - (584611*s[51])/2376 - 
       (1818379*s[52])/9504 + (5069303*s[53])/4752 - (117377*s[54])/1584 + 
       (21323983*s[55])/3168 + (728003*s[56])/396 - (80813*s[57])/44 + 
       (22130113*s[58])/7128 - (22246183*s[59])/7128 - 
       (906799451*s[60])/57024 + (57829679*s[61])/64152 - s[65]/12 - 
       s[66]/3 + (2*s[67])/3 - (5*s[68])/6 + (5*s[69])/3 - s[70]/3 - 
       s[71]/24 - (5*s[72])/6 - s[73]/2 + (7*s[74])/8 - (7*s[75])/8 + 
       (7*s[76])/6 - (19*s[77])/12 - (4*s[78])/3 - (145*s[79])/6 + 
       (625*s[80])/72 - 55*s[82] + s[83]/4 - (21*s[84])/2 - 10*s[85]) + 
     HPL[{0, 1, 1}, 1 - w]*Omega2[v, w, u]*(-3*s[2] - 20*s[3] - 92*s[4] - 
       (1435*s[5])/22 - (3379*s[6])/22 - (58442*s[7])/33 + (1368*s[8])/11 + 
       (2971*s[9])/2 + 591*s[10] + (21562*s[11])/11 + (92669*s[12])/44 + 
       (163285*s[13])/132 + (10891*s[14])/44 + (4907*s[15])/2 + 
       (409753*s[16])/132 + (163705*s[17])/66 + (2302*s[18])/9 + 
       (4025*s[19])/9 + (358148*s[20])/99 + (488473*s[21])/396 - 
       (40783*s[22])/44 - (43607*s[23])/33 - (73289*s[24])/33 + 
       (8868073*s[25])/3564 - (4689913*s[26])/3564 + s[32] + 12*s[37] - 
       71*s[38] + 221*s[39] - 245*s[40] + (407*s[41])/2 - (549*s[42])/2 - 
       (2941*s[43])/11 + (11635*s[44])/44 - (2755*s[45])/11 + 
       (21658*s[46])/11 + (4351*s[47])/132 - (30893*s[48])/132 + 
       (172451*s[49])/132 - (36151*s[50])/22 - (7571*s[51])/44 - 
       (13939*s[52])/132 + (71167*s[53])/66 + (2939*s[54])/11 + 
       (913195*s[55])/132 + (179291*s[56])/132 - (4765*s[57])/198 + 
       (2946421*s[58])/1188 - (3227887*s[59])/1188 - (14182979*s[60])/792 + 
       (7992793*s[61])/10692 + 4*s[68] - 4*s[69] + 4*s[77] - 76*s[82] - 
       8*s[85]) + HPL[{0, 1, 1}, 1 - u]*Omega2[u, v, w]*
      (5*s[2] - (25*s[3])/2 - (329*s[4])/4 - (361*s[5])/22 - (775*s[6])/44 - 
       (582629*s[7])/792 + (109363*s[8])/1188 + (32977*s[9])/54 + 
       (7613*s[10])/54 + (659179*s[11])/792 + (385279*s[12])/396 + 
       (464807*s[13])/792 - (158603*s[14])/792 + (70819*s[15])/72 + 
       (470737*s[16])/396 + (200215*s[17])/264 + (14573*s[18])/162 + 
       (55979*s[19])/324 + (4468001*s[20])/3564 + (2665507*s[21])/7128 - 
       (2765603*s[22])/7128 - (257329*s[23])/198 - (719617*s[24])/891 + 
       (38014871*s[25])/32076 - (17214089*s[26])/32076 - 2*s[30] - 3*s[33] + 
       2*s[34] + (22*s[36])/3 + 15*s[37] - 51*s[38] + 178*s[39] - 
       (592*s[40])/3 + (323*s[41])/2 - (1435*s[42])/6 - (5843*s[43])/33 + 
       (12289*s[44])/66 - (3353*s[45])/22 + (86041*s[46])/66 - 
       (2191*s[47])/99 - (5425*s[48])/99 + (170501*s[49])/198 - 
       (70375*s[50])/66 - (32521*s[51])/198 - (21907*s[52])/198 + 
       (146645*s[53])/198 + (4709*s[54])/33 + (310747*s[55])/66 + 
       (181583*s[56])/198 - (164467*s[57])/297 + (3229351*s[58])/1782 - 
       (3644683*s[59])/1782 - (13626197*s[60])/1188 + 
       (14823581*s[61])/32076 + 2*s[68] - 2*s[69] + 2*s[70] + s[74] - s[75] - 
       4*s[76] + 2*s[77] - 8*s[79] - 2*s[80] - 76*s[82] - 8*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-2*s[2])/3 + (5*s[3])/3 + (39*s[4])/4 - (3797*s[5])/132 - 
       (787*s[6])/22 - (78172*s[7])/297 + (3899*s[8])/3564 + 
       (38543*s[9])/162 + (18463*s[10])/162 + (619991*s[11])/2376 + 
       (278639*s[12])/1188 + (92671*s[13])/792 + (427523*s[14])/2376 + 
       (7405*s[15])/18 + (131435*s[16])/264 + (1181845*s[17])/2376 + 
       (77783*s[18])/972 + (3328*s[19])/243 + (7255309*s[20])/10692 + 
       (6621803*s[21])/21384 - (3006523*s[22])/21384 - (88931*s[23])/792 - 
       (6391375*s[24])/21384 + (11919929*s[25])/48114 - 
       (5262199*s[26])/24057 + (2*s[30])/3 - (2*s[34])/3 - (17*s[35])/6 - 
       (55*s[36])/18 + (50*s[37])/9 + (10*s[38])/3 + (59*s[39])/12 - 
       (337*s[40])/36 + (131*s[41])/12 - (275*s[42])/36 - (6119*s[43])/396 + 
       (1649*s[44])/99 - (16501*s[45])/396 + (8395*s[46])/33 + 
       (12115*s[47])/594 - (49987*s[48])/1188 + (105499*s[49])/1188 - 
       (20555*s[50])/99 + (7133*s[51])/594 + (8251*s[52])/1188 + 
       (61337*s[53])/396 + (634*s[54])/33 + (213887*s[55])/198 + 
       (357653*s[56])/1188 + (143050*s[57])/891 + (3221551*s[58])/10692 - 
       (3587599*s[59])/10692 - (7988231*s[60])/3564 + 
       (14579221*s[61])/96228 + (2*s[68])/3 - (2*s[69])/3 - s[74]/3 + 
       s[75]/3 - (4*s[76])/3 + (2*s[77])/3 + (4*s[78])/3 - (8*s[79])/3 + 
       (28*s[80])/9 - 64*s[82] - 8*s[85]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*((4*s[3])/3 + (5*s[4])/3 - (2489*s[5])/132 - 
       (3365*s[6])/132 - (86539*s[7])/792 - (1151*s[8])/594 + 
       (5747*s[9])/54 + (2191*s[10])/54 + (50407*s[11])/396 + 
       (51281*s[12])/396 + (33899*s[13])/396 + (16645*s[14])/396 + 
       (3131*s[15])/24 + (159361*s[16])/792 + (6807*s[17])/44 + 
       (14105*s[18])/324 - (3065*s[19])/324 + (438137*s[20])/1782 + 
       (217103*s[21])/1782 - (116071*s[22])/1782 - (111083*s[23])/792 - 
       (755233*s[24])/7128 + (1103638*s[25])/8019 - (749731*s[26])/8019 + 
       s[32]/3 + (14*s[37])/3 + 4*s[38] + (227*s[39])/12 - (275*s[40])/12 + 
       (223*s[41])/12 - (353*s[42])/12 - (805*s[43])/132 + (2707*s[44])/132 - 
       (2197*s[45])/132 + (10183*s[46])/66 - (437*s[47])/132 - 
       (631*s[48])/66 + (4709*s[49])/66 - (1313*s[50])/11 - 
       (4661*s[51])/396 - (289*s[52])/33 + (2881*s[53])/44 + 
       (1411*s[54])/33 + (154991*s[55])/396 + (8641*s[56])/66 - 
       (15160*s[57])/33 + (31358*s[58])/99 - (55003*s[59])/198 - 
       (864989*s[60])/792 + (316669*s[61])/3564 + (2*s[68])/3 - (2*s[69])/3 + 
       (2*s[77])/3 - 48*s[82] - 8*s[85]) + HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*((7*s[3])/12 + (47*s[4])/12 - (3955*s[5])/264 - 
       (4923*s[6])/176 - (30881*s[7])/132 + (1835*s[8])/792 + 
       (7385*s[9])/36 + (14191*s[10])/144 + (10937*s[11])/44 + 
       (131027*s[12])/528 + (24723*s[13])/176 + (65141*s[14])/528 + 
       (1323*s[15])/4 + (13961*s[16])/33 + (67147*s[17])/176 + 
       (1063*s[18])/27 + (21677*s[19])/432 + (335473*s[20])/594 + 
       (1048865*s[21])/4752 - (74147*s[22])/594 + (6019*s[23])/264 - 
       (369733*s[24])/1188 + (23731951*s[25])/85536 - 
       (16049677*s[26])/85536 + s[32]/3 + (71*s[37])/24 - (35*s[38])/12 - 
       (29*s[39])/48 - (163*s[40])/48 + (71*s[41])/16 + (595*s[42])/48 - 
       (10477*s[43])/528 + (5867*s[44])/264 - (25441*s[45])/528 + 
       (2595*s[46])/11 + (40013*s[47])/1584 - (95947*s[48])/1584 + 
       (166753*s[49])/1584 - (8425*s[50])/44 + (6425*s[51])/792 + 
       (13363*s[52])/1584 + (25555*s[53])/198 + (7297*s[54])/264 + 
       (769949*s[55])/792 + (15643*s[56])/66 + (312931*s[57])/792 + 
       (510971*s[58])/2376 - (1090255*s[59])/4752 - (22410517*s[60])/9504 + 
       (3470197*s[61])/28512 + (2*s[68])/3 - (2*s[69])/3 + (2*s[77])/3 - 
       (191*s[82])/4 - 8*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*
      HPL[{0, 1}, 1 - v]*((-2*s[2])/3 + (35*s[3])/12 + (39*s[4])/4 - 
       (833*s[5])/132 - (6527*s[6])/528 - (460261*s[7])/4752 - 
       (37415*s[8])/7128 + (56033*s[9])/648 + (78869*s[10])/1296 + 
       (229595*s[11])/2376 + (376355*s[12])/4752 + (3298*s[13])/99 + 
       (480577*s[14])/4752 + (22931*s[15])/144 + (316715*s[16])/1584 + 
       (1031213*s[17])/4752 + (52685*s[18])/3888 + (52595*s[19])/1944 + 
       (12355219*s[20])/42768 + (4912795*s[21])/42768 - 
       (2289509*s[22])/42768 + (24809*s[23])/198 - (6910373*s[24])/42768 + 
       (63594203*s[25])/769824 - (57529913*s[26])/769824 + (2*s[30])/3 - 
       (2*s[34])/3 - (8*s[35])/3 - (14*s[36])/9 + (29*s[37])/144 + 
       (15*s[38])/4 - (343*s[39])/16 + (2447*s[40])/144 - (161*s[41])/16 + 
       (5461*s[42])/144 - (3623*s[43])/1584 + (563*s[44])/1584 - 
       (43675*s[45])/1584 + (1967*s[46])/22 + (9116*s[47])/297 - 
       (68245*s[48])/1188 + (73459*s[49])/4752 - (8432*s[50])/99 + 
       (54695*s[51])/2376 + (30595*s[52])/1188 + (15971*s[53])/264 + 
       (521*s[54])/22 + (818573*s[55])/1584 + (309631*s[56])/2376 + 
       (1824523*s[57])/3564 - (213145*s[58])/21384 - (157243*s[59])/42768 - 
       (32138185*s[60])/28512 + (51172619*s[61])/769824 + (2*s[68])/3 - 
       (2*s[69])/3 - s[74]/3 + s[75]/3 - (4*s[76])/3 + (2*s[77])/3 + 
       (4*s[78])/3 - (8*s[79])/3 + (28*s[80])/9 - (191*s[82])/4 - 8*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      (s[3]/3 + (8*s[4])/3 - (4265*s[5])/132 - (2393*s[6])/66 - 
       (149929*s[7])/396 + (7949*s[8])/594 + (8996*s[9])/27 + 
       (16045*s[10])/108 + (296869*s[11])/792 + (275651*s[12])/792 + 
       (73087*s[13])/396 + (37003*s[14])/198 + (1819*s[15])/3 + 
       (270763*s[16])/396 + (177343*s[17])/264 + (11549*s[18])/162 + 
       (22607*s[19])/324 + (3230213*s[20])/3564 + (326570*s[21])/891 - 
       (700273*s[22])/3564 - (67051*s[23])/792 - (3273143*s[24])/7128 + 
       (13328195*s[25])/32076 - (4759351*s[26])/16038 + s[32]/3 + 2*s[37] - 
       s[38]/3 - (15*s[39])/4 - s[40]/4 + (41*s[41])/12 + (169*s[42])/12 - 
       (2041*s[43])/132 + (3845*s[44])/264 - (10045*s[45])/132 + 
       (23267*s[46])/66 + (18017*s[47])/792 - (28249*s[48])/792 + 
       (72097*s[49])/792 - (3279*s[50])/11 + (8015*s[51])/792 + 
       (7561*s[52])/792 + (45785*s[53])/198 + (124*s[54])/11 + 
       (439727*s[55])/264 + (97961*s[56])/264 + (135737*s[57])/198 + 
       (736597*s[58])/2376 - (868261*s[59])/2376 - (15774721*s[60])/4752 + 
       (118531*s[61])/594 + (2*s[68])/3 - (2*s[69])/3 + (2*s[77])/3 - 
       46*s[82] - 8*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*
      HPL[{0, 1}, 1 - w]*(-s[2]/48 + (7*s[3])/12 + (79*s[4])/24 - 
       (269*s[5])/88 - (2853*s[6])/176 - (133081*s[7])/1056 - 
       (3145*s[8])/1584 + (15409*s[9])/144 + (4585*s[10])/72 + 
       (149153*s[11])/1056 + (3159*s[12])/22 + (97891*s[13])/1056 + 
       (73585*s[14])/1056 + (15991*s[15])/96 + (41031*s[16])/176 + 
       (219253*s[17])/1056 - (377*s[18])/216 + (24349*s[19])/432 + 
       (706535*s[20])/2376 + (896201*s[21])/9504 - (645199*s[22])/9504 + 
       (13671*s[23])/88 - (1010855*s[24])/4752 + (14357549*s[25])/85536 - 
       (7806341*s[26])/85536 + s[32]/3 + 2*s[37] - (5*s[38])/3 - 
       (149*s[39])/12 + (101*s[40])/12 - (133*s[41])/16 + (1441*s[42])/48 - 
       (5011*s[43])/528 + (12491*s[44])/1056 - (4681*s[45])/132 + 
       (11415*s[46])/88 + (98911*s[47])/3168 - (203963*s[48])/3168 + 
       (203657*s[49])/3168 - (3815*s[50])/33 + (57053*s[51])/3168 + 
       (55103*s[52])/3168 + (54475*s[53])/792 + (3955*s[54])/88 + 
       (1873031*s[55])/3168 + (136021*s[56])/1056 + (377275*s[57])/792 + 
       (474599*s[58])/9504 - (571679*s[59])/9504 - (29456411*s[60])/19008 + 
       (2046677*s[61])/28512 + (2*s[68])/3 - (2*s[69])/3 + (2*s[77])/3 - 
       (173*s[82])/4 - 8*s[85]) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*((-2*s[2])/3 + (35*s[3])/12 + (39*s[4])/4 + 
       (595*s[5])/132 + (2041*s[6])/528 + (32089*s[7])/2376 - 
       (139963*s[8])/14256 - (15311*s[9])/1296 + (35093*s[10])/1296 - 
       (142567*s[11])/9504 - (33043*s[12])/1188 - (67081*s[13])/3168 + 
       (400571*s[14])/9504 - (419*s[15])/72 + (13477*s[16])/3168 + 
       (333499*s[17])/9504 - (48911*s[18])/1944 + (124369*s[19])/3888 + 
       (961201*s[20])/42768 - (1061953*s[21])/85536 + (331733*s[22])/85536 + 
       (783863*s[23])/3168 - (4826677*s[24])/85536 - (3146153*s[25])/96228 + 
       (10182467*s[26])/384912 + (2*s[30])/3 - (2*s[34])/3 - (8*s[35])/3 - 
       (14*s[36])/9 + (5*s[37])/144 + (21*s[38])/4 - (269*s[39])/8 + 
       (2101*s[40])/72 - (375*s[41])/16 + (8053*s[42])/144 + 
       (17221*s[43])/1584 - (14809*s[44])/1584 - (11681*s[45])/792 - 
       (1825*s[46])/88 + (40289*s[47])/1188 - (135671*s[48])/2376 - 
       (160343*s[49])/4752 - (6913*s[50])/792 + (142573*s[51])/4752 + 
       (84149*s[52])/2376 - (1163*s[53])/528 + (11423*s[54])/264 + 
       (172259*s[55])/1584 + (50327*s[56])/4752 + (514885*s[57])/891 - 
       (7479005*s[58])/42768 + (3747517*s[59])/21384 - (1887085*s[60])/7128 + 
       (1365943*s[61])/96228 + (2*s[68])/3 - (2*s[69])/3 - s[74]/3 + 
       s[75]/3 - (4*s[76])/3 + (2*s[77])/3 + (4*s[78])/3 - (8*s[79])/3 + 
       (28*s[80])/9 - (173*s[82])/4 - 8*s[85]) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*(-11*s[2] + (59*s[3])/4 - 
       (337*s[4])/24 - (703*s[5])/22 - (1427*s[6])/44 - (162031*s[7])/528 + 
       (4924*s[8])/297 + (68665*s[9])/216 - (4483*s[10])/54 + 
       (388489*s[11])/792 + (1132579*s[12])/1584 + (843251*s[13])/1584 - 
       (359419*s[14])/1584 + (2215*s[15])/144 + (28181*s[16])/99 - 
       (53519*s[17])/198 + (54887*s[18])/648 - (18661*s[19])/324 + 
       (2384293*s[20])/7128 + (2096543*s[21])/14256 - (2842141*s[22])/14256 - 
       (1525405*s[23])/1584 - (3210337*s[24])/14256 + 
       (89843333*s[25])/128304 - (39521453*s[26])/128304 - 8*s[31] - s[32] + 
       (3*s[33])/2 + 11*s[34] + s[35] + (47*s[36])/6 - (40*s[37])/3 - 
       81*s[38] + (1753*s[39])/8 - (5447*s[40])/24 + (1235*s[41])/8 - 
       (6469*s[42])/24 - (52925*s[43])/264 + (96221*s[44])/528 - 
       (1878*s[45])/11 + (342979*s[46])/264 - (115717*s[47])/1584 - 
       (60343*s[48])/1584 + (1393339*s[49])/1584 - (29393*s[50])/33 - 
       (232187*s[51])/1584 - (299003*s[52])/1584 + (454073*s[53])/792 + 
       (573*s[54])/11 + (1913785*s[55])/528 + (1513645*s[56])/1584 - 
       (2656099*s[57])/1188 + (32880515*s[58])/14256 - 
       (32130545*s[59])/14256 - (100069369*s[60])/9504 + 
       (60191123*s[61])/128304 - 4*s[68] + 4*s[69] - s[74] + s[75] + 
       8*s[76] - 4*s[77] - 5*s[78] + 20*s[79] - 18*s[80] - 40*s[82] - 
       8*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-2*s[2])/3 + (7*s[3])/6 + (39*s[4])/4 - (197*s[5])/33 - 
       (173*s[6])/66 + (20879*s[7])/297 - (50467*s[8])/3564 - 
       (8623*s[9])/162 - (1177*s[10])/324 - (49279*s[11])/594 - 
       (264839*s[12])/2376 - (14543*s[13])/264 + (57239*s[14])/2376 - 
       (2425*s[15])/36 - (73423*s[16])/792 - (34897*s[17])/1188 - 
       (12173*s[18])/486 + (283*s[19])/243 - (1260557*s[20])/10692 - 
       (832669*s[21])/21384 + (740207*s[22])/21384 + (4049*s[23])/22 + 
       (218807*s[24])/5346 - (10770833*s[25])/96228 + (2946745*s[26])/48114 + 
       (2*s[30])/3 - (2*s[34])/3 - (8*s[35])/3 - (14*s[36])/9 + 
       (77*s[37])/9 + (41*s[38])/3 - (89*s[39])/3 + (227*s[40])/9 - 
       (109*s[41])/6 + (785*s[42])/18 + (2482*s[43])/99 - (12557*s[44])/792 - 
       (65*s[45])/198 - (5057*s[46])/66 + (39535*s[47])/2376 - 
       (24749*s[48])/2376 - (194725*s[49])/2376 + (4546*s[50])/99 + 
       (78599*s[51])/2376 + (63389*s[52])/2376 - (12047*s[53])/396 + 
       (2491*s[54])/66 - (14035*s[55])/88 - (99095*s[56])/2376 + 
       (182731*s[57])/891 - (3239215*s[58])/21384 + (3539167*s[59])/21384 + 
       (7923955*s[60])/14256 + (29299*s[61])/96228 + (2*s[68])/3 - 
       (2*s[69])/3 - s[74]/3 + s[75]/3 - (4*s[76])/3 + (2*s[77])/3 + 
       (4*s[78])/3 - (8*s[79])/3 + (28*s[80])/9 - 30*s[82] - 8*s[85]) + 
     HPL[{0, 1, 1}, 1 - w]*Omega2[w, u, v]*(-3*s[2] - 20*s[3] - s[4] + 
       (929*s[5])/22 + (365*s[6])/22 + (21305*s[7])/66 - (2797*s[8])/99 - 
       (5713*s[9])/18 - (109*s[10])/9 - (13085*s[11])/33 - 
       (66961*s[12])/132 - (39007*s[13])/132 - (1103*s[14])/132 - 237*s[15] - 
       (53485*s[16])/132 - (2047*s[17])/22 - (3913*s[18])/27 + 
       (2020*s[19])/27 - (189758*s[20])/297 - (378509*s[21])/1188 + 
       (225871*s[22])/1188 + (51937*s[23])/66 + (111215*s[24])/594 - 
       (5023583*s[25])/10692 + (3344255*s[26])/10692 + s[32] + 6*s[37] + 
       57*s[38] - 188*s[39] + 200*s[40] - (287*s[41])/2 + (489*s[42])/2 + 
       (1978*s[43])/11 - (7861*s[44])/44 + (1895*s[45])/11 - 
       (14779*s[46])/11 + (6361*s[47])/132 + (9001*s[48])/132 - 
       (104971*s[49])/132 + (21475*s[50])/22 + (7363*s[51])/44 + 
       (18017*s[52])/132 - (43699*s[53])/66 + (232*s[54])/11 - 
       (186841*s[55])/44 - (49177*s[56])/44 + (29959*s[57])/22 - 
       (849047*s[58])/396 + (856817*s[59])/396 + (8852323*s[60])/792 - 
       (1960441*s[61])/3564 - 28*s[82] - 8*s[85]) + 
     HPL[{0, 1, 1}, 1 - w]*Omega2[u, v, w]*(3*s[2] + 44*s[3] + 113*s[4] + 
       (943*s[5])/22 + (4159*s[6])/22 + (47987*s[7])/33 - (9973*s[8])/99 - 
       (20935*s[9])/18 - (3730*s[10])/9 - (54266*s[11])/33 - 
       (239197*s[12])/132 - (50921*s[13])/44 - (18443*s[14])/132 - 
       (11495*s[15])/6 - (111425*s[16])/44 - (129125*s[17])/66 - 
       (4705*s[18])/27 - (10265*s[19])/27 - (829217*s[20])/297 - 
       (1112633*s[21])/1188 + (877771*s[22])/1188 + (14603*s[23])/11 + 
       (529060*s[24])/297 - (23169863*s[25])/10692 + (11819567*s[26])/10692 - 
       s[32] + 6*s[37] + 39*s[38] - 115*s[39] + 127*s[40] - (187*s[41])/2 + 
       (295*s[42])/2 + (921*s[43])/11 - (4229*s[44])/44 + (956*s[45])/11 - 
       (7357*s[46])/11 + (1899*s[47])/44 + (7*s[48])/44 - (19249*s[49])/44 + 
       (10537*s[50])/22 + (10325*s[51])/132 + (4647*s[52])/44 - 
       (5839*s[53])/22 - (422*s[54])/11 - (245723*s[55])/132 - 
       (23017*s[56])/44 + (30303*s[57])/22 - (174565*s[58])/132 + 
       (165811*s[59])/132 + (1448797*s[60])/264 - (317839*s[61])/1188 - 
       28*s[82] - 8*s[85]) + HPL[{0, 1, 1}, 1 - u]*Omega2[w, u, v]*
      (-5*s[2] + (13*s[3])/2 + (365*s[4])/4 + (45*s[5])/22 + (2467*s[6])/44 + 
       (536705*s[7])/792 - (115087*s[8])/1188 - (30709*s[9])/54 - 
       (2429*s[10])/54 - (642079*s[11])/792 - (411343*s[12])/396 - 
       (514403*s[13])/792 + (168215*s[14])/792 - (48247*s[15])/72 - 
       (385609*s[16])/396 - (101627*s[17])/264 - (25013*s[18])/162 - 
       (6911*s[19])/324 - (3781949*s[20])/3564 - (2262415*s[21])/7128 + 
       (2608895*s[22])/7128 + (332725*s[23])/198 + (488605*s[24])/891 - 
       (37577615*s[25])/32076 + (17081393*s[26])/32076 + 2*s[30] + 3*s[33] - 
       2*s[34] - (10*s[36])/3 + s[37] + 51*s[38] - 228*s[39] + 
       (790*s[40])/3 - (423*s[41])/2 + (1987*s[42])/6 + (6449*s[43])/33 - 
       (15271*s[44])/66 + (3033*s[45])/22 - (94021*s[46])/66 + 
       (7120*s[47])/99 + (3622*s[48])/99 - (175391*s[49])/198 + 
       (71875*s[50])/66 + (51559*s[51])/198 + (33757*s[52])/198 - 
       (144821*s[53])/198 + (1819*s[54])/33 - (298717*s[55])/66 - 
       (227225*s[56])/198 + (553903*s[57])/297 - (4150669*s[58])/1782 + 
       (4249561*s[59])/1782 + (13801439*s[60])/1188 - 
       (17251145*s[61])/32076 - 2*s[68] + 2*s[69] - 2*s[70] - s[74] + s[75] + 
       4*s[76] - 2*s[77] + 32*s[79] - 14*s[80] - 28*s[82] - 8*s[85]) + 
     HPL[{0, 1, 1}, 1 - u]*Omega2[v, w, u]*(-5*s[2] + (45*s[3])/2 + 
       (365*s[4])/4 - (1103*s[5])/22 + (299*s[6])/44 - (11155*s[7])/792 - 
       (67063*s[8])/1188 + (3599*s[9])/54 + (10675*s[10])/54 - 
       (87643*s[11])/792 - (135097*s[12])/396 - (234875*s[13])/792 + 
       (392207*s[14])/792 + (26285*s[15])/72 + (98297*s[16])/396 + 
       (187577*s[17])/264 + (3121*s[18])/162 + (7669*s[19])/324 + 
       (1999939*s[20])/3564 + (2582825*s[21])/7128 - (107017*s[22])/7128 + 
       (212617*s[23])/198 - (163679*s[24])/891 - (12800453*s[25])/32076 - 
       (654277*s[26])/32076 + 2*s[30] + 3*s[33] - 2*s[34] - (16*s[36])/3 + 
       15*s[37] + 45*s[38] - (295*s[39])/2 + (893*s[40])/6 - 104*s[41] + 
       (620*s[42])/3 + (3049*s[43])/66 - (10001*s[44])/132 - (243*s[45])/22 - 
       (7631*s[46])/33 + (51979*s[47])/396 - (66359*s[48])/396 - 
       (83491*s[49])/396 + (3205*s[50])/66 + (65939*s[51])/396 + 
       (72815*s[52])/396 + (5114*s[53])/99 + (4273*s[54])/33 + 
       (59623*s[55])/132 - (16693*s[56])/396 + (864955*s[57])/297 - 
       (3972335*s[58])/3564 + (3073541*s[59])/3564 + (1056145*s[60])/2376 - 
       (25045*s[61])/16038 + 2*s[68] - 2*s[69] - 2*s[70] - s[74] + s[75] - 
       4*s[76] + 2*s[77] + 4*s[78] + 6*s[80] - 28*s[82] - 8*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^4*
      ((-107*s[2])/48 - (79*s[3])/96 - (24745*s[4])/192 - (76193*s[5])/1056 - 
       (465827*s[6])/2112 - (69867529*s[7])/38016 + (9056885*s[8])/57024 + 
       (3997709*s[9])/2592 + (573539*s[10])/1296 + (77601257*s[11])/38016 + 
       (43085765*s[12])/19008 + (52865311*s[13])/38016 + 
       (6275633*s[14])/38016 + (8155523*s[15])/3456 + 
       (58061405*s[16])/19008 + (3180393*s[17])/1408 + (665005*s[18])/1944 + 
       (3770569*s[19])/15552 + (606237223*s[20])/171072 + 
       (437172413*s[21])/342144 - (331002385*s[22])/342144 - 
       (22492361*s[23])/9504 - (166448611*s[24])/85536 + 
       (4058163139*s[25])/1539648 - (2187540535*s[26])/1539648 - 
       (5*s[30])/24 - (7*s[31])/6 + s[32]/48 - (119*s[33])/96 + 
       (19*s[34])/12 + (5*s[35])/24 + (643*s[36])/144 - (95*s[37])/16 - 
       (3257*s[38])/48 + (18435*s[39])/64 - (185671*s[40])/576 + 
       (50201*s[41])/192 - (243515*s[42])/576 - (141943*s[43])/576 + 
       (150157*s[44])/576 - (12631*s[45])/48 + (1253845*s[46])/576 - 
       (181187*s[47])/1728 - (9107*s[48])/432 + (119531*s[49])/108 - 
       (237721*s[50])/144 - (496483*s[51])/1728 - (207689*s[52])/864 + 
       (1958513*s[53])/1728 - (24427*s[54])/288 + (2057531*s[55])/288 + 
       (1702261*s[56])/864 - (12498143*s[57])/5184 + (54746887*s[58])/15552 - 
       (54700033*s[59])/15552 - (90881833*s[60])/5184 + 
       (2064505*s[61])/2187 + s[70]/4 + (3*s[71])/16 - (13*s[72])/12 + 
       s[73]/12 + (61*s[74])/48 - (61*s[75])/48 + 2*s[76] + (5*s[77])/24 - 
       (4*s[78])/3 - (331*s[79])/12 + (143*s[80])/24 - (21*s[82])/2 - 
       (25*s[84])/2 - 8*s[85]) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*((-7*s[2])/6 - (79*s[3])/96 - (12235*s[4])/192 - 
       (55867*s[5])/1056 - (293573*s[6])/2112 - (21890491*s[7])/19008 + 
       (2613067*s[8])/28512 + (5053255*s[9])/5184 + (1582121*s[10])/5184 + 
       (6013123*s[11])/4752 + (26328053*s[12])/19008 + (1313621*s[13])/1584 + 
       (1757873*s[14])/9504 + (861307*s[15])/576 + (1022363*s[16])/528 + 
       (7059125*s[17])/4752 + (3593609*s[18])/15552 + (2229487*s[19])/15552 + 
       (49484879*s[20])/21384 + (72772529*s[21])/85536 - 
       (103708151*s[22])/171072 - (2090353*s[23])/1584 - 
       (105916717*s[24])/85536 + (1227769721*s[25])/769824 - 
       (1373601715*s[26])/1539648 - (5*s[30])/24 - (5*s[31])/12 + s[32]/3 - 
       s[33]/16 + s[34]/4 + (5*s[35])/12 + (13*s[36])/8 - (101*s[37])/36 - 
       (799*s[38])/24 + (2389*s[39])/16 - (8125*s[40])/48 + 
       (13379*s[41])/96 - (7067*s[42])/32 - (66809*s[43])/528 + 
       (49733*s[44])/352 - (20719*s[45])/132 + (40681*s[46])/33 - 
       (175253*s[47])/3168 - (58631*s[48])/3168 + (3637717*s[49])/6336 - 
       (30908*s[50])/33 - (339085*s[51])/2112 - (411517*s[52])/3168 + 
       (2023517*s[53])/3168 - (71021*s[54])/1056 + (536473*s[55])/132 + 
       (7322857*s[56])/6336 - (6031483*s[57])/4752 + (112839641*s[58])/
        57024 - (110187197*s[59])/57024 - (377510629*s[60])/38016 + 
       (291217859*s[61])/513216 - s[72]/2 + (5*s[74])/8 - (5*s[75])/8 + 
       (5*s[76])/6 + s[77]/6 - s[78]/2 - 15*s[79] + (109*s[80])/24 - 
       36*s[82] - (13*s[84])/2 - 8*s[85]) + HPL[{0, 0, 1}, 1 - v]*
      Omega2[u, v, w]*((9*s[2])/2 - (131*s[3])/4 - (1307*s[4])/8 + 
       (1919*s[5])/22 - (69*s[6])/88 - (157217*s[7])/528 + 
       (124463*s[8])/792 + (1241*s[9])/9 - (1430*s[10])/9 + 
       (248009*s[11])/528 + (54701*s[12])/66 + (103769*s[13])/176 - 
       (388939*s[14])/528 + (561*s[15])/16 + (21723*s[16])/88 - 
       (284693*s[17])/528 - (3719*s[18])/108 + (16993*s[19])/216 - 
       (355793*s[20])/2376 - (1887013*s[21])/4752 - (651619*s[22])/4752 - 
       (170085*s[23])/88 - (485729*s[24])/2376 + (11083541*s[25])/10692 - 
       (1610123*s[26])/10692 + s[29] - 2*s[30] + s[31] - 3*s[32] - s[35] - 
       (25*s[36])/3 - (71*s[37])/6 - 57*s[38] + 145*s[39] - (467*s[40])/3 + 
       104*s[41] - (544*s[42])/3 - (6403*s[43])/33 + (8405*s[44])/66 - 
       (32257*s[45])/132 + (200771*s[46])/132 - (4897*s[47])/198 - 
       (18031*s[48])/198 + (139783*s[49])/198 - (72263*s[50])/66 - 
       (18983*s[51])/198 - (20771*s[52])/198 + (318355*s[53])/396 - 
       (1501*s[54])/33 + (235223*s[55])/44 + (15732*s[56])/11 - 
       (120661*s[57])/198 + (653525*s[58])/297 - (2695421*s[59])/1188 - 
       (30706073*s[60])/2376 + (4569481*s[61])/7128 - s[65] - 3*s[66] + 
       6*s[67] + s[68] + 11*s[69] - 2*s[70] + s[71] + 2*s[72] - 6*s[73] - 
       (5*s[74])/2 + (5*s[75])/2 + 8*s[76] - 7*s[77] + 8*s[78] - 16*s[79] - 
       (11*s[80])/3 - 52*s[82] + 3*s[83] - 6*s[84] - 8*s[85]) + 
     HPL[{0, 0, 1}, 1 - v]*Omega2[v, w, u]*((19*s[2])/2 - (161*s[3])/4 + 
       (419*s[4])/8 + 90*s[5] + (1315*s[6])/8 + (62371*s[7])/48 - 
       (16399*s[8])/216 - (31751*s[9])/27 - (7561*s[10])/27 - 
       (212365*s[11])/144 - (14468*s[12])/9 - (151135*s[13])/144 - 
       (18193*s[14])/144 - (231121*s[15])/144 - (152219*s[16])/72 - 
       (227167*s[17])/144 - (82957*s[18])/324 - (72007*s[19])/648 - 
       (1580207*s[20])/648 - (1344247*s[21])/1296 + (933503*s[22])/1296 + 
       (119329*s[23])/72 + (799123*s[24])/648 - (1327300*s[25])/729 + 
       (1556501*s[26])/1458 - s[29] + 7*s[31] - 3*s[32] + 2*s[33] - 
       18*s[34] - 3*s[35] - (61*s[36])/3 + (95*s[37])/6 + 63*s[38] - 
       (597*s[39])/2 + (1787*s[40])/6 - (469*s[41])/2 + (2713*s[42])/6 + 
       (8893*s[43])/66 - (13813*s[44])/66 + (3109*s[45])/132 - 
       (45651*s[46])/44 + (20380*s[47])/99 - (40783*s[48])/198 - 
       (76606*s[49])/99 + (49873*s[50])/66 + (60157*s[51])/198 + 
       (24476*s[52])/99 - (61277*s[53])/132 - (27*s[54])/11 - 
       (105405*s[55])/44 - (135775*s[56])/198 + (1171139*s[57])/297 - 
       (2117563*s[58])/891 + (8353945*s[59])/3564 + (16131307*s[60])/2376 - 
       (19021499*s[61])/64152 - s[65] - 7*s[66] + 10*s[67] + 7*s[68] + 
       15*s[69] - 2*s[70] + s[71] + 6*s[72] - 10*s[73] - (11*s[74])/2 + 
       (11*s[75])/2 - 3*s[77] + 16*s[78] + 8*s[79] + (11*s[80])/3 - 
       52*s[82] + 3*s[83] - 6*s[84] - 8*s[85]) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u]*((13*s[2])/24 - (159*s[3])/16 + 
       (549*s[4])/32 - (36617*s[5])/792 - (111847*s[6])/3168 - 
       (5550437*s[7])/19008 - (348197*s[8])/28512 + (342685*s[9])/1296 + 
       (115843*s[10])/648 + (5589385*s[11])/19008 + (2129863*s[12])/9504 + 
       (2039141*s[13])/19008 + (4343563*s[14])/19008 + (932807*s[15])/1728 + 
       (755615*s[16])/1188 + (4485425*s[17])/6336 + (15929*s[18])/243 + 
       (679427*s[19])/7776 + (69993509*s[20])/85536 + 
       (64140313*s[21])/171072 - (26595785*s[22])/171072 + 
       (1380811*s[23])/9504 - (37565179*s[24])/85536 + 
       (200904197*s[25])/769824 - (181978241*s[26])/769824 - (5*s[30])/12 + 
       s[31] - s[32]/8 + (5*s[33])/2 - (25*s[34])/12 - s[35]/12 - 
       (37*s[36])/36 + (20*s[37])/3 + (51*s[38])/4 - (1781*s[39])/72 + 
       (1891*s[40])/72 - (419*s[41])/18 + (1877*s[42])/48 + 
       (14417*s[43])/792 + (4133*s[44])/3168 + (5*s[45])/176 - 
       (21755*s[46])/528 + (334285*s[47])/9504 - (384587*s[48])/9504 + 
       (287687*s[49])/9504 - (3775*s[50])/198 + (554743*s[51])/9504 + 
       (523103*s[52])/9504 + (9913*s[53])/1188 + (13741*s[54])/66 + 
       (533453*s[55])/9504 - (799687*s[56])/9504 + (4510889*s[57])/14256 - 
       (13987793*s[58])/85536 + (9221627*s[59])/85536 - 
       (3251531*s[60])/57024 + (3944419*s[61])/769824 + s[65]/4 + s[66] - 
       (3*s[67])/2 - s[68]/6 - (37*s[69])/12 - 2*s[70] - s[71]/4 - s[72]/2 + 
       2*s[73] - (7*s[74])/24 + (7*s[75])/24 - (23*s[76])/12 + 
       (25*s[77])/12 + s[78]/6 + (23*s[79])/3 - (19*s[80])/36 - 88*s[82] - 
       (3*s[83])/4 + (9*s[84])/2 - 8*s[85]) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*((29*s[2])/8 - (5*s[3])/24 + 
       (5249*s[4])/144 - (10999*s[5])/396 + (4933*s[6])/352 + 
       (152059*s[7])/1056 - (931285*s[8])/28512 - (256379*s[9])/2592 + 
       (33037*s[10])/1296 - (3692437*s[11])/19008 - (5667059*s[12])/19008 - 
       (470501*s[13])/2376 + (79009*s[14])/594 - (29489*s[15])/864 - 
       (169045*s[16])/1188 + (1827119*s[17])/19008 - (246667*s[18])/7776 + 
       (66943*s[19])/7776 - (5055901*s[20])/42768 + (725567*s[21])/42768 + 
       (6263215*s[22])/85536 + (9500981*s[23])/19008 + 
       (14240429*s[24])/171072 - (501771613*s[25])/1539648 + 
       (167056429*s[26])/1539648 - s[30]/4 + s[31] + (5*s[32])/12 + 
       (7*s[33])/4 - (9*s[34])/4 + s[35]/2 + (13*s[36])/24 + (299*s[37])/48 + 
       (773*s[38])/72 - (4367*s[39])/96 + (4939*s[40])/96 - 
       (14903*s[41])/288 + (22369*s[42])/288 + (105403*s[43])/3168 - 
       (154837*s[44])/6336 + (4849*s[45])/352 - (164485*s[46])/792 + 
       (679087*s[47])/19008 - (579731*s[48])/19008 - (1333657*s[49])/19008 + 
       (10403*s[50])/88 + (138409*s[51])/2112 + (1282559*s[52])/19008 - 
       (20822*s[53])/297 + (14639*s[54])/88 - (2694575*s[55])/6336 - 
       (1610489*s[56])/6336 + (3394199*s[57])/4752 - (9367775*s[58])/19008 + 
       (289189*s[59])/704 + (147140401*s[60])/114048 - 
       (10707959*s[61])/128304 + s[65]/4 + s[66] - (3*s[67])/2 - 
       (5*s[68])/12 - (31*s[69])/12 - (3*s[70])/2 - s[71]/4 - s[72]/2 + 
       (3*s[73])/2 + s[74]/8 - s[75]/8 - (9*s[76])/4 + (19*s[77])/12 + 
       (17*s[79])/2 - s[80]/8 - 65*s[82] - (3*s[83])/4 + (9*s[84])/2 - 
       8*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - v]*
      (15*s[2] - (127*s[3])/4 + (2137*s[4])/8 + (565*s[5])/11 + 
       (23775*s[6])/88 + (3898673*s[7])/1584 - (723913*s[8])/2376 - 
       (224293*s[9])/108 - (5759*s[10])/27 - (4619605*s[11])/1584 - 
       (1419809*s[12])/396 - (3718127*s[13])/1584 + (938315*s[14])/1584 - 
       (363511*s[15])/144 - (2859415*s[16])/792 - (935485*s[17])/528 - 
       (160793*s[18])/324 - (59549*s[19])/648 - (27410897*s[20])/7128 - 
       (18125431*s[21])/14256 + (19028123*s[22])/14256 + 
       (4297175*s[23])/792 + (14587273*s[24])/7128 - (261748235*s[25])/
        64152 + (121860173*s[26])/64152 + s[30] + 12*s[31] - 2*s[32] + 
       (35*s[33])/4 - 22*s[34] + 3*s[35] - (109*s[36])/6 + (139*s[37])/6 + 
       186*s[38] - (5715*s[39])/8 + (18373*s[40])/24 - (4767*s[41])/8 + 
       (25229*s[42])/24 + (136495*s[43])/264 - (284533*s[44])/528 + 
       (28937*s[45])/66 - (365391*s[46])/88 + (578405*s[47])/1584 - 
       (315037*s[48])/1584 - (3543131*s[49])/1584 + (199175*s[50])/66 + 
       (1137247*s[51])/1584 + (1029775*s[52])/1584 - (544231*s[53])/264 + 
       (21797*s[54])/66 - (2186131*s[55])/176 - (5803489*s[56])/1584 + 
       (9351325*s[57])/1188 - (108287831*s[58])/14256 + 
       (106475285*s[59])/14256 + (298473677*s[60])/9504 - 
       (211794371*s[61])/128304 + 5*s[68] - 3*s[69] - 2*s[70] - 2*s[71] + 
       4*s[72] - 4*s[73] - 5*s[74] + 5*s[75] - 14*s[76] + 5*s[77] + 9*s[78] + 
       50*s[79] + (28*s[80])/3 - 232*s[82] + 48*s[84] - 8*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((50*s[2])/3 + (86*s[3])/3 + (3199*s[4])/3 + (31719*s[5])/44 + 
       (228607*s[6])/132 + (38033053*s[7])/2376 - (59953*s[8])/44 - 
       (243455*s[9])/18 - (15699*s[10])/4 - (13998187*s[11])/792 - 
       (642889*s[12])/33 - (28047527*s[13])/2376 - (1088419*s[14])/792 - 
       (4548703*s[15])/216 - (15853427*s[16])/594 - (47743279*s[17])/2376 - 
       (979765*s[18])/324 - (354799*s[19])/162 - (27737456*s[20])/891 - 
       (81036893*s[21])/7128 + (6669917*s[22])/792 + (24599609*s[23])/1188 + 
       (20015837*s[24])/1188 - (728375455*s[25])/32076 + 
       (397106443*s[26])/32076 + 4*s[30] + (38*s[31])/3 - (5*s[32])/3 + 
       (139*s[33])/12 - (89*s[34])/3 - (68*s[35])/3 - (1135*s[36])/18 + 
       (389*s[37])/6 + (1915*s[38])/3 - (62839*s[39])/24 + 
       (205849*s[40])/72 - (17857*s[41])/8 + (276953*s[42])/72 + 
       (1675691*s[43])/792 - (3619765*s[44])/1584 + (89941*s[45])/44 - 
       (14120099*s[46])/792 + (5000777*s[47])/4752 - (821281*s[48])/4752 - 
       (46144607*s[49])/4752 + (2698193*s[50])/198 + (12452323*s[51])/4752 + 
       (10089559*s[52])/4752 - (22281859*s[53])/2376 + (32792*s[54])/99 - 
       (92173589*s[55])/1584 - (72384341*s[56])/4752 + (19295204*s[57])/891 - 
       (1245629287*s[58])/42768 + (1265128705*s[59])/42768 + 
       (4074032573*s[60])/28512 - (2832046777*s[61])/384912 + (2*s[62])/3 - 
       (5*s[65])/3 - (20*s[66])/3 + (34*s[67])/3 + (31*s[68])/3 + 
       (43*s[69])/3 - (2*s[70])/3 + (40*s[72])/3 - 16*s[73] - 17*s[74] + 
       17*s[75] - (16*s[76])/3 - (2*s[77])/3 + (97*s[78])/3 + (584*s[79])/3 - 
       (106*s[80])/3 - 130*s[82] + 5*s[83] + 78*s[84] - 8*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      ((67*s[2])/3 + (34*s[3])/3 + (2726*s[4])/3 + (2176*s[5])/3 + 
       (6639*s[6])/4 + (1094987*s[7])/72 - (133189*s[8])/108 - 
       (1393675*s[9])/108 - (419681*s[10])/108 - (603767*s[11])/36 - 
       (1324163*s[12])/72 - (796673*s[13])/72 - (126061*s[14])/72 - 
       (1442849*s[15])/72 - (458861*s[16])/18 - (58372*s[17])/3 - 
       (471355*s[18])/162 - (673705*s[19])/324 - (4864429*s[20])/162 - 
       (7162135*s[21])/648 + (5199065*s[22])/648 + (1334305*s[23])/72 + 
       (10521263*s[24])/648 - (62087087*s[25])/2916 + (34266251*s[26])/2916 - 
       (5*s[30])/3 + (38*s[31])/3 - (19*s[32])/6 + (71*s[33])/12 - 
       (71*s[34])/3 - (28*s[35])/3 - 57*s[36] + (592*s[37])/9 + 
       (1828*s[38])/3 - (7267*s[39])/3 + (7930*s[40])/3 - (12347*s[41])/6 + 
       3531*s[42] + (66161*s[43])/33 - (70189*s[44])/33 + 
       (388523*s[45])/198 - (3325823*s[46])/198 + (368957*s[47])/396 - 
       (3679*s[48])/396 - (3626927*s[49])/396 + (849239*s[50])/66 + 
       (960577*s[51])/396 + (194056*s[52])/99 - (5236141*s[53])/594 + 
       (56233*s[54])/198 - (21654845*s[55])/396 - (17008909*s[56])/1188 + 
       (34933541*s[57])/1782 - (290905193*s[58])/10692 + 
       (294307895*s[59])/10692 + (321716959*s[60])/2376 - 
       (167795288*s[61])/24057 - (5*s[65])/3 - (20*s[66])/3 + (34*s[67])/3 + 
       (28*s[68])/3 + (49*s[69])/3 + (4*s[70])/3 - s[71]/3 + (32*s[72])/3 - 
       (46*s[73])/3 - (40*s[74])/3 + (40*s[75])/3 - 9*s[76] - (4*s[77])/3 + 
       (64*s[78])/3 + 156*s[79] - (235*s[80])/9 - 130*s[82] + 5*s[83] + 
       78*s[84] - 8*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]^2*((-71*s[2])/48 + (1993*s[3])/96 + 
       (26393*s[4])/192 + (3433*s[5])/44 + (446485*s[6])/2112 + 
       (65634995*s[7])/38016 - (9212411*s[8])/57024 - (3748667*s[9])/2592 - 
       (956335*s[10])/2592 - (71277587*s[11])/38016 - 
       (39086747*s[12])/19008 - (15818113*s[13])/12672 - 
       (4335809*s[14])/38016 - (889573*s[15])/384 - (3005891*s[16])/1056 - 
       (82309105*s[17])/38016 - (2865643*s[18])/7776 - 
       (2668627*s[19])/15552 - (563514601*s[20])/171072 - 
       (420474023*s[21])/342144 + (304358599*s[22])/342144 + 
       (16668439*s[23])/6336 + (282970403*s[24])/171072 - 
       (469587563*s[25])/192456 + (523456081*s[26])/384912 + (31*s[30])/12 + 
       (11*s[31])/12 + (5*s[32])/24 + (263*s[33])/96 - (17*s[34])/4 - 
       (35*s[35])/6 - (305*s[36])/36 + (851*s[37])/72 + (593*s[38])/8 - 
       (10073*s[39])/32 + (97585*s[40])/288 - (8421*s[41])/32 + 
       (137039*s[42])/288 + (784319*s[43])/3168 - (794039*s[44])/3168 + 
       (420007*s[45])/1584 - (6912607*s[46])/3168 + (1453207*s[47])/9504 - 
       (416269*s[48])/4752 - (10159657*s[49])/9504 + (646087*s[50])/396 + 
       (1580815*s[51])/4752 + (330601*s[52])/1188 - (352531*s[53])/297 + 
       (15217*s[54])/99 - (11665651*s[55])/1584 - (691799*s[56])/352 + 
       (24355141*s[57])/9504 - (101793361*s[58])/28512 + 
       (52319105*s[59])/14256 + (965310163*s[60])/57024 - 
       (160739521*s[61])/171072 - s[62]/12 - s[65]/6 - (2*s[66])/3 + 
       (4*s[67])/3 + (31*s[68])/12 + s[69]/2 - (2*s[70])/3 - (7*s[71])/6 + 
       (19*s[72])/12 - (9*s[73])/4 - (119*s[74])/48 + (39*s[75])/16 - 
       2*s[76] + (43*s[77])/24 + (23*s[78])/4 + (55*s[79])/3 + (38*s[80])/9 - 
       (357*s[82])/4 + s[83]/2 + 12*s[84] - 7*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2*
      ((21*s[2])/8 + (211*s[3])/12 + (12749*s[4])/96 + (32773*s[5])/352 + 
       (243041*s[6])/1056 + (18856421*s[7])/9504 - (181385*s[8])/1056 - 
       (479989*s[9])/288 - (48289*s[10])/96 - (13639171*s[11])/6336 - 
       (4918849*s[12])/2112 - (13108477*s[13])/9504 - (193877*s[14])/792 - 
       (2333141*s[15])/864 - (3991529*s[16])/1188 - (50217505*s[17])/19008 - 
       (1058371*s[18])/2592 - (637391*s[19])/2592 - (28121657*s[20])/7128 - 
       (41387545*s[21])/28512 + (3263209*s[22])/3168 + 
       (49038181*s[23])/19008 + (39331201*s[24])/19008 - 
       (1403726195*s[25])/513216 + (783280307*s[26])/513216 - s[30]/24 + 
       (11*s[31])/12 + (7*s[32])/12 - (77*s[33])/96 - (15*s[34])/8 - 
       (13*s[35])/12 - (71*s[36])/9 + (469*s[37])/72 + (341*s[38])/6 - 
       (4505*s[39])/16 + (44597*s[40])/144 - (5927*s[41])/24 + 
       (7865*s[42])/18 + (31853*s[43])/144 - (33377*s[44])/144 + 
       (32059*s[45])/144 - (11629*s[46])/6 + (61033*s[47])/432 - 
       (15121*s[48])/216 - (405745*s[49])/432 + (105223*s[50])/72 + 
       (33503*s[51])/108 + (53521*s[52])/216 - (148853*s[53])/144 + 
       (449*s[54])/3 - (56932*s[55])/9 - (94747*s[56])/54 + 
       (3314669*s[57])/1296 - (6296363*s[58])/1944 + (12615145*s[59])/3888 + 
       (38561707*s[60])/2592 - (59897495*s[61])/69984 - s[65]/6 - 
       (2*s[66])/3 + (4*s[67])/3 + (31*s[68])/12 + (3*s[69])/2 + s[70]/3 - 
       s[71]/3 + s[72]/6 - (14*s[73])/3 - (35*s[74])/24 + (35*s[75])/24 - 
       s[76]/3 + (3*s[77])/2 + (5*s[78])/6 + 16*s[79] - (29*s[80])/36 - 
       (297*s[82])/4 + s[83]/2 + 12*s[84] - 7*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      ((13*s[2])/16 + (1669*s[3])/288 + (76301*s[4])/576 + 
       (93821*s[5])/1584 + (2231627*s[6])/12672 + (62048633*s[7])/38016 - 
       (6141467*s[8])/38016 - (4716265*s[9])/3456 - (154597*s[10])/432 - 
       (15316861*s[11])/8448 - (51839155*s[12])/25344 - 
       (47201875*s[13])/38016 - (587681*s[14])/12672 - (7251779*s[15])/3456 - 
       (101968093*s[16])/38016 - (145982425*s[17])/76032 - 
       (1071287*s[18])/3456 - (234149*s[19])/1152 - (29357095*s[20])/9504 - 
       (123812555*s[21])/114048 + (12205393*s[22])/14256 + 
       (181204849*s[23])/76032 + (379289335*s[24])/228096 - 
       (4892951101*s[25])/2052864 + (2568622009*s[26])/2052864 + s[30]/3 + 
       (3*s[31])/4 - s[32]/72 + (29*s[33])/96 - (7*s[34])/4 - 
       (127*s[35])/72 - (337*s[36])/72 + (2135*s[37])/216 + 
       (9809*s[38])/144 - (26861*s[39])/96 + (88187*s[40])/288 - 
       (137111*s[41])/576 + (237941*s[42])/576 + (664831*s[43])/3168 - 
       (325323*s[44])/1408 + (341807*s[45])/1584 - (5881859*s[46])/3168 + 
       (4942055*s[47])/38016 - (2287321*s[48])/38016 - 
       (36158927*s[49])/38016 + (737525*s[50])/528 + (3625211*s[51])/12672 + 
       (9137107*s[52])/38016 - (2033051*s[53])/2112 + (51577*s[54])/528 - 
       (227971121*s[55])/38016 - (62065939*s[56])/38016 + 
       (72656491*s[57])/28512 - (1072452257*s[58])/342144 + 
       (1073909195*s[59])/342144 + (3325654919*s[60])/228096 - 
       (2367989627*s[61])/3079296 + (13*s[68])/18 - (13*s[69])/18 - s[71]/4 + 
       (13*s[72])/12 + s[73]/4 - (29*s[74])/16 + (29*s[75])/16 - 
       (19*s[76])/12 + (25*s[77])/72 + (17*s[78])/12 + (163*s[79])/6 - 
       (293*s[80])/72 - (1229*s[82])/24 + (25*s[84])/2 - (20*s[85])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*
      ((115*s[2])/144 - (313*s[3])/288 + (6487*s[4])/64 + (36071*s[5])/792 + 
       (1595213*s[6])/12672 + (34259431*s[7])/28512 - 
       (41892227*s[8])/342144 - (31263241*s[9])/31104 - 
       (3812533*s[10])/15552 - (305369285*s[11])/228096 - 
       (347191561*s[12])/228096 - (35044747*s[13])/38016 - 
       (1319041*s[14])/114048 - (2651701*s[15])/1728 - 
       (37329211*s[16])/19008 - (315419437*s[17])/228096 - 
       (21442871*s[18])/93312 - (12812665*s[19])/93312 - 
       (72122603*s[20])/32076 - (811867867*s[21])/1026432 + 
       (81122407*s[22])/128304 + (142538893*s[23])/76032 + 
       (2481888007*s[24])/2052864 - (32600298293*s[25])/18475776 + 
       (17020648745*s[26])/18475776 + (29*s[30])/36 + (3*s[31])/4 - 
       (13*s[32])/24 + (25*s[33])/96 - (35*s[34])/36 - (181*s[35])/72 - 
       (515*s[36])/108 + (1115*s[37])/108 + (478*s[38])/9 - 
       (16207*s[39])/72 + (53449*s[40])/216 - (36953*s[41])/192 + 
       (582895*s[42])/1728 + (762205*s[43])/4752 - (3389119*s[44])/19008 + 
       (1360501*s[45])/9504 - (4299727*s[46])/3168 + (1638575*s[47])/14256 - 
       (1044787*s[48])/14256 - (10243949*s[49])/14256 + 
       (2412623*s[50])/2376 + (6580595*s[51])/28512 + 
       (11290369*s[52])/57024 - (2220379*s[53])/3168 + (44405*s[54])/396 - 
       (20300519*s[55])/4752 - (68502139*s[56])/57024 + 
       (48250703*s[57])/21384 - (613131241*s[58])/256608 + 
       (1224080927*s[59])/513216 + (3583092851*s[60])/342144 - 
       (5087731375*s[61])/9237888 + (13*s[68])/18 - (13*s[69])/18 + 
       (11*s[72])/12 - (23*s[73])/12 - (193*s[74])/144 + (193*s[75])/144 - 
       (41*s[76])/18 + (31*s[77])/72 + (73*s[78])/36 + (229*s[79])/9 - 
       (164*s[80])/27 - (1193*s[82])/24 + (25*s[84])/2 - (20*s[85])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*
      ((-59*s[2])/12 - (113*s[3])/8 - (5005*s[4])/144 - (22015*s[5])/1584 - 
       (77899*s[6])/2112 - (927569*s[7])/4752 + (619841*s[8])/19008 + 
       (252037*s[9])/1728 + (13049*s[10])/432 + (2716073*s[11])/12672 + 
       (2939711*s[12])/12672 + (1311335*s[13])/9504 - (73603*s[14])/792 + 
       (15325*s[15])/48 + (6643237*s[16])/19008 + (10437235*s[17])/38016 + 
       (105703*s[18])/1728 + (26269*s[19])/1728 + (2701189*s[20])/9504 + 
       (1650335*s[21])/14256 - (5366729*s[22])/57024 - 
       (24239029*s[23])/38016 - (17738827*s[24])/114048 + 
       (306871801*s[25])/1026432 - (138936157*s[26])/1026432 + s[30]/6 - 
       (2*s[31])/3 - (13*s[32])/6 - (29*s[33])/12 + (5*s[34])/6 - 3*s[35] + 
       (2*s[36])/9 + (9*s[37])/4 - (49*s[38])/72 + (929*s[39])/16 - 
       (7673*s[40])/144 + (12703*s[41])/288 - (31507*s[42])/288 - 
       (20393*s[43])/1584 + (14081*s[44])/704 - (3295*s[45])/528 + 
       (193255*s[46])/792 - (996013*s[47])/19008 + (1576139*s[48])/19008 + 
       (1620277*s[49])/19008 - (144605*s[50])/792 - (1184035*s[51])/19008 - 
       (857081*s[52])/19008 + (456173*s[53])/3168 + (18649*s[54])/396 + 
       (1119251*s[55])/2112 + (3016205*s[56])/19008 - 
       (18319991*s[57])/14256 + (111513871*s[58])/171072 - 
       (102773629*s[59])/171072 - (112887421*s[60])/114048 + 
       (222092149*s[61])/1539648 + s[65]/3 + (4*s[66])/3 - 2*s[67] - 
       (17*s[68])/6 - (7*s[69])/6 - (5*s[70])/6 - s[71]/3 - (2*s[72])/3 - 
       2*s[73] - s[74]/4 + s[75]/4 - (5*s[77])/6 - s[78]/3 + 12*s[79] - 
       (11*s[80])/6 - (117*s[82])/4 - s[83] + 6*s[84] - 6*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w]*
      ((7*s[2])/4 - 26*s[3] - (69*s[4])/2 - (119023*s[5])/1584 - 
       (898355*s[6])/6336 - (648959*s[7])/704 + (300647*s[8])/6336 + 
       (441587*s[9])/576 + (9759*s[10])/32 + (12499207*s[11])/12672 + 
       (12482141*s[12])/12672 + (1955809*s[13])/3168 + (207871*s[14])/792 + 
       (2330185*s[15])/1728 + (877337*s[16])/528 + (19169443*s[17])/12672 + 
       (320677*s[18])/1728 + (303365*s[19])/1728 + (18205723*s[20])/9504 + 
       (3822031*s[21])/4752 - (8779423*s[22])/19008 - (3064733*s[23])/4224 - 
       (1488423*s[24])/1408 + (405256735*s[25])/342144 - 
       (256466179*s[26])/342144 - (7*s[30])/3 + (4*s[31])/3 + s[32]/12 + 
       (43*s[33])/12 - s[34] + (29*s[35])/3 + 7*s[36] + (83*s[37])/36 - 
       15*s[38] + (12935*s[39])/144 - (12479*s[40])/144 + (17437*s[41])/288 - 
       (38989*s[42])/288 - (123427*s[43])/1584 + (18355*s[44])/264 - 
       (124075*s[45])/1584 + (170491*s[46])/264 - (277621*s[47])/9504 - 
       (50383*s[48])/9504 + (3740647*s[49])/9504 - (389363*s[50])/792 - 
       (41893*s[51])/1056 - (138377*s[52])/2376 + (856007*s[53])/2376 + 
       (3184*s[54])/33 + (19988855*s[55])/9504 + (783055*s[56])/1584 - 
       (655295*s[57])/792 + (30115031*s[58])/28512 - (16051747*s[59])/14256 - 
       (143685815*s[60])/28512 + (163363649*s[61])/513216 + s[65]/3 + 
       (4*s[66])/3 - 2*s[67] - (7*s[68])/3 - (5*s[69])/3 - (7*s[70])/3 - 
       s[71]/3 - (2*s[72])/3 + 2*s[73] + s[74]/3 - s[75]/3 + 2*s[76] + 
       (2*s[77])/3 - (20*s[78])/3 + (68*s[79])/3 - (59*s[80])/6 - 
       (97*s[82])/4 - s[83] + 6*s[84] - 6*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
      ((-1777*s[2])/36 + (683*s[3])/48 - (15549*s[4])/32 - 
       (1663757*s[5])/3168 - (1880777*s[6])/1584 - (562858255*s[7])/57024 + 
       (14052811*s[8])/21384 + (65660075*s[9])/7776 + (20536003*s[10])/7776 + 
       (620471845*s[11])/57024 + (167508761*s[12])/14256 + 
       (135375853*s[13])/19008 + (99078205*s[14])/57024 + 
       (22483669*s[15])/1728 + (79034819*s[16])/4752 + 
       (739631729*s[17])/57024 + (45844699*s[18])/23328 + 
       (28857365*s[19])/23328 + (5133086969*s[20])/256608 + 
       (3925465201*s[21])/513216 - (2688221519*s[22])/513216 - 
       (104554201*s[23])/9504 - (2732597317*s[24])/256608 + 
       (62247106897*s[25])/4618944 - (35856701269*s[26])/4618944 - 
       (3*s[28])/4 - s[29] + (137*s[30])/36 - (293*s[31])/18 + 
       (1025*s[32])/72 + (41*s[33])/72 + (655*s[34])/36 + (67*s[35])/36 + 
       (8197*s[36])/216 - (3793*s[37])/432 - (11393*s[38])/36 + 
       (321913*s[39])/288 - (1078255*s[40])/864 + (283925*s[41])/288 - 
       (1365623*s[42])/864 - (10036877*s[43])/9504 + (20293783*s[44])/19008 - 
       (10186577*s[45])/9504 + (40419461*s[46])/4752 - 
       (16816709*s[47])/57024 - (17398367*s[48])/57024 + 
       (264134807*s[49])/57024 - (3806039*s[50])/594 - 
       (59130895*s[51])/57024 - (51132445*s[52])/57024 + 
       (124702241*s[53])/28512 - (124453*s[54])/4752 + 
       (530462641*s[55])/19008 + (144563555*s[56])/19008 - 
       (123657745*s[57])/14256 + (257175991*s[58])/19008 - 
       (783466697*s[59])/57024 - (23757008939*s[60])/342144 + 
       (2783243051*s[61])/769824 + 3*s[63] - s[64]/8 - (19*s[65])/18 - 
       (11*s[66])/9 + (7*s[67])/9 - (151*s[68])/18 + (35*s[69])/18 - 
       (295*s[70])/18 + (289*s[71])/72 + (23*s[72])/18 + (67*s[73])/12 + 
       (13*s[74])/3 - (13*s[75])/3 + (77*s[76])/18 + (299*s[77])/18 - 
       (227*s[78])/36 - (763*s[79])/9 + (125*s[80])/216 + (289*s[82])/2 + 
       s[83]/6 - (145*s[84])/2 - (17*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      ((1363*s[2])/72 + (97*s[3])/36 + (79817*s[4])/144 + 
       (1632511*s[5])/3168 + (3403495*s[6])/3168 + (68801131*s[7])/7128 - 
       (19972523*s[8])/28512 - (21294439*s[9])/2592 - (6491159*s[10])/2592 - 
       (101627249*s[11])/9504 - (55389013*s[12])/4752 - 
       (202030133*s[13])/28512 - (11631749*s[14])/9504 - 
       (33137371*s[15])/2592 - (464085965*s[16])/28512 - 
       (89608531*s[17])/7128 - (13117867*s[18])/7776 - (1517977*s[19])/972 - 
       (813449665*s[20])/42768 - (24961877*s[21])/3564 + 
       (436146395*s[22])/85536 + (157083755*s[23])/14256 + 
       (457913935*s[24])/42768 - (2321243621*s[25])/171072 + 
       (1271884649*s[26])/171072 - (137*s[30])/36 + (127*s[31])/18 - 
       (593*s[32])/72 - (137*s[33])/72 - (439*s[34])/36 + (89*s[35])/9 - 
       (2989*s[36])/108 + (891*s[37])/16 + (3575*s[38])/9 - 
       (54785*s[39])/36 + (178705*s[40])/108 - (31043*s[41])/24 + 
       (236009*s[42])/108 + (1581941*s[43])/1188 - (13105579*s[44])/9504 + 
       (4058579*s[45])/3168 - (103020955*s[46])/9504 + 
       (14967497*s[47])/28512 + (4762709*s[48])/28512 - 
       (174028103*s[49])/28512 + (39175505*s[50])/4752 + 
       (42031849*s[51])/28512 + (33872551*s[52])/28512 - 
       (162634643*s[53])/28512 + (588623*s[54])/2376 - 
       (336362357*s[55])/9504 - (259232279*s[56])/28512 + 
       (232780151*s[57])/21384 - (2178886559*s[58])/128304 + 
       (4452612931*s[59])/256608 + (1889464543*s[60])/21384 - 
       (20441922203*s[61])/4618944 - (3*s[64])/8 - (163*s[65])/72 - 
       (50*s[66])/9 + (103*s[67])/9 - s[68]/18 + (175*s[69])/9 - 
       (203*s[70])/36 + (26*s[71])/9 + (91*s[72])/18 - (151*s[73])/9 - 
       (125*s[74])/18 + (223*s[75])/36 + 2*s[76] + (155*s[77])/36 + 
       (49*s[78])/9 + 57*s[79] - (2675*s[80])/72 + s[81]/24 - (151*s[82])/2 + 
       (17*s[83])/3 + (53*s[84])/2 - (17*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      (-s[2]/2 - s[3]/36 - (833*s[4])/9 + (158005*s[5])/792 + 
       (56585*s[6])/528 + (1940449*s[7])/792 + (138833*s[8])/14256 - 
       (2879231*s[9])/1296 - (95362*s[10])/81 - (25259677*s[11])/9504 - 
       (24808163*s[12])/9504 - (6647111*s[13])/4752 - (1219739*s[14])/1188 - 
       (798695*s[15])/216 - (1359590*s[16])/297 - (40320091*s[17])/9504 - 
       (1342867*s[18])/3888 - (3162743*s[19])/3888 - (251045357*s[20])/
        42768 - (96289811*s[21])/42768 + (57502429*s[22])/42768 - 
       (5495461*s[23])/9504 + (298732427*s[24])/85536 - 
       (2255392651*s[25])/769824 + (1415864893*s[26])/769824 - (4*s[30])/3 + 
       (4*s[31])/3 - (77*s[32])/18 - (43*s[33])/6 - 2*s[34] - (14*s[35])/3 - 
       (86*s[36])/9 + (17*s[37])/3 + (3077*s[38])/36 - (8039*s[39])/72 + 
       (2149*s[40])/24 - (205*s[41])/24 + (111*s[42])/4 + (96949*s[43])/792 - 
       (288107*s[44])/1584 + (149855*s[45])/792 - (414823*s[46])/396 - 
       (152335*s[47])/1584 + (147515*s[48])/528 - (1715275*s[49])/1584 + 
       (428995*s[50])/396 + (1103*s[51])/176 - (71593*s[52])/1584 - 
       (1388129*s[53])/2376 - (107905*s[54])/132 - (18177847*s[55])/4752 - 
       (200009*s[56])/4752 - (11375819*s[57])/7128 - (33509983*s[58])/42768 + 
       (43505005*s[59])/42768 + (13154041*s[60])/1056 - 
       (53801159*s[61])/192456 - (4*s[65])/3 - (16*s[66])/3 + (28*s[67])/3 + 
       (16*s[68])/9 + (152*s[69])/9 + (10*s[70])/3 + (7*s[71])/3 + 
       (4*s[72])/3 - (44*s[73])/3 - 2*s[74] + 2*s[75] + (14*s[76])/3 - 
       (56*s[77])/9 + (22*s[78])/3 - 24*s[79] - 6*s[80] + (1453*s[82])/6 + 
       4*s[83] - 20*s[84] - (16*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*((73*s[2])/18 + 
       (1333*s[3])/36 + 375*s[4] + (14444*s[5])/99 + (643007*s[6])/1584 + 
       (61894519*s[7])/14256 - (18883289*s[8])/42768 - (14053213*s[9])/3888 - 
       (929477*s[10])/972 - (138769901*s[11])/28512 - 
       (156837319*s[12])/28512 - (1338871*s[13])/396 + (527189*s[14])/3564 - 
       (276781*s[15])/48 - (34155007*s[16])/4752 - (145473115*s[17])/28512 - 
       (2026511*s[18])/2916 - (1059173*s[19])/1458 - (259083793*s[20])/
        32076 - (358952719*s[21])/128304 + (292949339*s[22])/128304 + 
       (6657469*s[23])/1056 + (1193637409*s[24])/256608 - 
       (15036147875*s[25])/2309472 + (7731714557*s[26])/2309472 + 
       (28*s[30])/9 + (22*s[31])/3 + 2*s[32] + (145*s[33])/12 - 
       (112*s[34])/9 + (86*s[35])/9 - (1625*s[36])/54 + (2269*s[37])/108 + 
       (2693*s[38])/12 - (20089*s[39])/24 + (196157*s[40])/216 - 
       (5369*s[41])/8 + (63271*s[42])/54 + (1729171*s[43])/2376 - 
       (1842139*s[44])/2376 + (194218*s[45])/297 - (4460573*s[46])/792 + 
       (946915*s[47])/3564 + (263729*s[48])/7128 - (48591193*s[49])/14256 + 
       (1283063*s[50])/297 + (10584749*s[51])/14256 + (2037863*s[52])/3564 - 
       (7200979*s[53])/2376 - (154151*s[54])/792 - (5655101*s[55])/297 - 
       (65239307*s[56])/14256 + (121412083*s[57])/21384 - 
       (1139539585*s[58])/128304 + (1208541253*s[59])/128304 + 
       (3985214479*s[60])/85536 - (2470369795*s[61])/1154736 + s[62]/2 - 
       s[65]/3 - (4*s[66])/3 + (4*s[67])/3 - (2*s[68])/9 + (26*s[69])/9 - 
       (14*s[70])/3 + (11*s[71])/6 + (10*s[72])/3 - (2*s[73])/3 - 
       (85*s[74])/18 + (85*s[75])/18 - (56*s[76])/9 - (11*s[77])/9 + 
       (74*s[78])/9 + (380*s[79])/9 - (88*s[80])/27 + (31*s[82])/6 + s[83] + 
       22*s[84] - (16*s[85])/3) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*((-553*s[2])/48 + (1979*s[3])/96 - 
       (67913*s[4])/192 - (15937*s[5])/44 - (1607539*s[6])/2112 - 
       (86210335*s[7])/12672 + (30056215*s[8])/57024 + (15103495*s[9])/2592 + 
       (571375*s[10])/324 + (283689931*s[11])/38016 + (77059349*s[12])/9504 + 
       (184250917*s[13])/38016 + (38242051*s[14])/38016 + 
       (31115459*s[15])/3456 + (27164377*s[16])/2376 + 
       (337055149*s[17])/38016 + (5302489*s[18])/3888 + 
       (12908183*s[19])/15552 + (2333288945*s[20])/171072 + 
       (1764304021*s[21])/342144 - (1234867061*s[22])/342144 - 
       (4770929*s[23])/594 - (153863993*s[24])/21384 + 
       (14385787127*s[25])/1539648 - (8170148573*s[26])/1539648 + 
       (4*s[30])/3 - (101*s[31])/12 + (17*s[32])/6 - (503*s[33])/96 + 
       (197*s[34])/12 + (139*s[35])/24 + (1157*s[36])/36 - (989*s[37])/36 - 
       (6047*s[38])/24 + (34423*s[39])/32 - (338239*s[40])/288 + 
       (90005*s[41])/96 - (456125*s[42])/288 - (2829929*s[43])/3168 + 
       (3093317*s[44])/3168 - (1448849*s[45])/1584 + (2723225*s[46])/352 - 
       (3860563*s[47])/9504 - (17489*s[48])/1188 + (39277555*s[49])/9504 - 
       (9383509*s[50])/1584 - (5128261*s[51])/4752 - (1004953*s[52])/1188 + 
       (1629899*s[53])/396 - (36469*s[54])/264 + (3361867*s[55])/132 + 
       (63718973*s[56])/9504 - (244519163*s[57])/28512 + 
       (1060109581*s[58])/85536 - (538640093*s[59])/42768 - 
       (3545957917*s[60])/57024 + (5041618565*s[61])/1539648 + (4*s[65])/3 + 
       (16*s[66])/3 - (53*s[67])/6 - s[68]/3 - (83*s[69])/6 - (4*s[70])/3 - 
       (79*s[72])/12 + (113*s[73])/12 + (119*s[74])/16 - (119*s[75])/16 + 
       (17*s[76])/4 + (203*s[77])/24 - (187*s[78])/12 - (154*s[79])/3 + 
       (17*s[80])/9 - 10*s[82] - 4*s[83] - (53*s[84])/2 - 5*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((-265*s[2])/48 + (841*s[3])/32 - (3819*s[4])/64 - (23527*s[5])/176 - 
       (485779*s[6])/2112 - (73654819*s[7])/38016 + (6608641*s[8])/57024 + 
       (1114747*s[9])/648 + (1339577*s[10])/2592 + (78577765*s[11])/38016 + 
       (20623175*s[12])/9504 + (15932569*s[13])/12672 + 
       (20221237*s[14])/38016 + (3028439*s[15])/1152 + 
       (10323305*s[16])/3168 + (102418619*s[17])/38016 + 
       (3584921*s[18])/7776 + (1909199*s[19])/15552 + 
       (702897299*s[20])/171072 + (572027191*s[21])/342144 - 
       (356248307*s[22])/342144 - (863815*s[23])/396 - 
       (10132799*s[24])/5346 + (3771825455*s[25])/1539648 - 
       (2387451287*s[26])/1539648 - (13*s[30])/6 - (17*s[31])/4 - s[32]/6 - 
       (461*s[33])/96 + (29*s[34])/3 + (109*s[35])/24 + (59*s[36])/9 - 
       (85*s[37])/144 - 38*s[38] + (26887*s[39])/96 - (90733*s[40])/288 + 
       (25429*s[41])/96 - (130031*s[42])/288 - (597755*s[43])/3168 + 
       (1648189*s[44])/6336 - (509855*s[45])/3168 + (2868563*s[46])/1584 - 
       (2569223*s[47])/19008 + (1364707*s[48])/19008 + 
       (17770733*s[49])/19008 - (2216647*s[50])/1584 - 
       (5966509*s[51])/19008 - (4017751*s[52])/19008 + (9239795*s[53])/9504 - 
       (50245*s[54])/396 + (36871103*s[55])/6336 + (1180133*s[56])/704 - 
       (13200827*s[57])/4752 + (176747075*s[58])/57024 - 
       (176963045*s[59])/57024 - (1570185269*s[60])/114048 + 
       (45904963*s[61])/57024 + s[62]/4 + s[63] + (11*s[65])/12 + 
       (11*s[66])/3 - 5*s[67] - (2*s[68])/3 - (28*s[69])/3 + s[70]/2 - 
       (7*s[71])/8 - (43*s[72])/12 + (27*s[73])/4 + (169*s[74])/48 - 
       (169*s[75])/48 - (25*s[76])/12 + (29*s[77])/8 - (107*s[78])/12 - 
       (71*s[79])/2 + (1367*s[80])/72 - 60*s[82] - (11*s[83])/4 - 4*s[84] - 
       5*s[85]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((-311*s[2])/72 - (145*s[3])/18 - (46651*s[4])/144 - 
       (345617*s[5])/1584 - (5468*s[6])/11 - (138734249*s[7])/28512 + 
       (2969941*s[8])/7128 + (2672807*s[9])/648 + (1557869*s[10])/1296 + 
       (25635473*s[11])/4752 + (28282739*s[12])/4752 + 
       (51633965*s[13])/14256 + (840487*s[14])/2376 + (16756871*s[15])/2592 + 
       (232540153*s[16])/28512 + (174204083*s[17])/28512 + 
       (6529601*s[18])/7776 + (5917537*s[19])/7776 + (404339273*s[20])/
        42768 + (97393877*s[21])/28512 - (54977275*s[22])/21384 - 
       (21843739*s[23])/3564 - (113149381*s[24])/21384 + 
       (595774849*s[25])/85536 - (80320057*s[26])/21384 - (5*s[30])/36 - 
       (65*s[31])/18 + (17*s[32])/9 - (35*s[33])/18 + (227*s[34])/36 + 
       (107*s[35])/36 + (626*s[36])/27 - (1189*s[37])/36 - (4079*s[38])/18 + 
       (39931*s[39])/48 - (387887*s[40])/432 + (99701*s[41])/144 - 
       (1025909*s[42])/864 - (3531169*s[43])/4752 + (14333767*s[44])/19008 - 
       (15385*s[45])/22 + (28003777*s[46])/4752 - (15596465*s[47])/57024 - 
       (1809461*s[48])/57024 + (192235421*s[49])/57024 - 
       (10819175*s[50])/2376 - (44182411*s[51])/57024 - 
       (35983147*s[52])/57024 + (5648803*s[53])/1782 + (296683*s[54])/4752 + 
       (41858581*s[55])/2112 + (275822219*s[56])/57024 - 
       (121987399*s[57])/21384 + (4738881361*s[58])/513216 - 
       (4954331011*s[59])/513216 - (16684329263*s[60])/342144 + 
       (10689471337*s[61])/4618944 + (5*s[65])/18 + (10*s[66])/9 - 
       (20*s[67])/9 - (20*s[68])/9 - (20*s[69])/9 + (22*s[70])/9 - 
       (5*s[71])/18 - (29*s[72])/18 + (55*s[73])/18 + (211*s[74])/72 - 
       (175*s[75])/72 + (25*s[76])/6 - (67*s[77])/36 - (103*s[78])/18 - 
       (87*s[79])/2 - (127*s[80])/36 - 42*s[82] + (11*s[83])/3 - 25*s[84] - 
       (14*s[85])/3) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((311*s[2])/36 - (401*s[3])/16 - 
       (7913*s[4])/288 - (66709*s[5])/792 - (443671*s[6])/3168 - 
       (10665935*s[7])/7128 + (1201247*s[8])/42768 + (9945161*s[9])/7776 + 
       (5524039*s[10])/7776 + (86555449*s[11])/57024 + 
       (39320965*s[12])/28512 + (14491195*s[13])/19008 + 
       (39099613*s[14])/57024 + (2230081*s[15])/864 + 
       (55555523*s[16])/19008 + (165912995*s[17])/57024 + 
       (455747*s[18])/2916 + (6094561*s[19])/11664 + (229915745*s[20])/
        64152 + (684322165*s[21])/513216 - (396291761*s[22])/513216 + 
       (3197905*s[23])/19008 - (1155731213*s[24])/513216 + 
       (8046158839*s[25])/4618944 - (5170965109*s[26])/4618944 - s[27]/2 - 
       4*s[29] + (20*s[30])/9 + (68*s[31])/9 - (8*s[32])/9 + 
       (1309*s[33])/144 - (131*s[34])/9 + (7*s[35])/36 - (889*s[36])/108 + 
       (787*s[37])/54 - (629*s[38])/72 - (5611*s[39])/144 + 
       (10117*s[40])/432 + (13*s[41])/12 + (81379*s[42])/864 - 
       (386377*s[43])/4752 + (476951*s[44])/9504 - (566959*s[45])/4752 + 
       (343015*s[46])/594 + (4660883*s[47])/28512 - (7081375*s[48])/28512 + 
       (704977*s[49])/1782 - (2975647*s[50])/4752 + (1151021*s[51])/14256 + 
       (2574379*s[52])/28512 + (12430565*s[53])/28512 + 
       (1441661*s[54])/4752 + (30341033*s[55])/9504 + (63113*s[56])/198 + 
       (17948633*s[57])/7128 + (4912693*s[58])/85536 - 
       (16779407*s[59])/42768 - (79390681*s[60])/10692 + 
       (102950489*s[61])/513216 - (91*s[65])/72 - (23*s[66])/9 + 
       (46*s[67])/9 + (161*s[68])/18 + (77*s[69])/18 + (43*s[70])/36 + 
       (61*s[71])/72 + (101*s[72])/18 - (47*s[73])/6 - (67*s[74])/24 + 
       (79*s[75])/24 - (163*s[76])/18 - (5*s[77])/9 + (115*s[78])/9 - 
       (239*s[79])/18 + (155*s[80])/54 - 102*s[82] + (59*s[83])/12 - 
       (5*s[84])/2 - (14*s[85])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]^2*((157*s[2])/72 - (1007*s[3])/144 + (5795*s[4])/288 + 
       (61463*s[5])/3168 + (3445*s[6])/99 + (41694215*s[7])/114048 - 
       (5754757*s[8])/171072 - (5001725*s[9])/15552 - (1171573*s[10])/15552 - 
       (5625701*s[11])/14256 - (24722323*s[12])/57024 - 
       (7494359*s[13])/28512 - (403475*s[14])/14256 - (4958575*s[15])/10368 - 
       (66483839*s[16])/114048 - (8270993*s[17])/19008 - 
       (878689*s[18])/11664 - (1256435*s[19])/46656 - 
       (22450169*s[20])/32076 - (68032873*s[21])/256608 + 
       (100778995*s[22])/513216 + (59453311*s[23])/114048 + 
       (356257985*s[24])/1026432 - (4667697109*s[25])/9237888 + 
       (2615279941*s[26])/9237888 - s[30]/12 + (13*s[31])/9 - (13*s[32])/18 + 
       (13*s[33])/8 - (43*s[34])/18 - s[35]/18 - (59*s[36])/27 + 
       (1339*s[37])/432 + (130*s[38])/9 - (20647*s[39])/288 + 
       (65413*s[40])/864 - (17789*s[41])/288 + (97073*s[42])/864 + 
       (443963*s[43])/9504 - (1942661*s[44])/38016 + (120575*s[45])/3168 - 
       (969623*s[46])/2376 + (5081011*s[47])/114048 - 
       (5155325*s[48])/114048 - (22867507*s[49])/114048 + 
       (1441399*s[50])/4752 + (8740769*s[51])/114048 + 
       (7723217*s[52])/114048 - (12372245*s[53])/57024 + (76973*s[54])/1188 - 
       (16502813*s[55])/12672 - (40210441*s[56])/114048 + 
       (60215131*s[57])/85536 - (744376865*s[58])/1026432 + 
       (754057265*s[59])/1026432 + (2064617341*s[60])/684288 - 
       (375132887*s[61])/2309472 + s[68]/3 - s[69]/3 - (10*s[70])/9 + 
       s[72]/3 + s[73]/6 - (41*s[74])/72 + (41*s[75])/72 - (13*s[76])/9 + 
       (13*s[77])/18 + (16*s[78])/9 + (59*s[79])/9 - (104*s[82])/3 + 
       2*s[84] - (14*s[85])/3) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*(s[2] - 10*s[3] - (179*s[4])/3 - 
       (2197*s[5])/264 - (15023*s[6])/176 - (505739*s[7])/528 + 
       (352853*s[8])/4752 + (335281*s[9])/432 + (9335*s[10])/27 + 
       (3273437*s[11])/3168 + (3466555*s[12])/3168 + (260707*s[13])/396 + 
       (59519*s[14])/792 + (200491*s[15])/144 + (1338269*s[16])/792 + 
       (4408421*s[17])/3168 + (102443*s[18])/1296 + (404605*s[19])/1296 + 
       (13376459*s[20])/7128 + (2070457*s[21])/3564 - (7051961*s[22])/14256 - 
       (1476817*s[23])/3168 - (35567641*s[24])/28512 + 
       (351496193*s[25])/256608 - (175196309*s[26])/256608 + s[32]/2 + 
       6*s[37] - (59*s[38])/6 + (273*s[39])/8 - (297*s[40])/8 + 
       (227*s[41])/6 - (431*s[42])/12 - (17893*s[43])/264 + 
       (27793*s[44])/528 - (12553*s[45])/88 + (55465*s[46])/66 + 
       (98909*s[47])/1584 - (145093*s[48])/1584 + (618913*s[49])/1584 - 
       (16063*s[50])/22 + (2195*s[51])/176 - (48047*s[52])/1584 + 
       (50561*s[53])/99 + (4957*s[54])/44 + (1806635*s[55])/528 + 
       (113317*s[56])/176 + (127685*s[57])/132 + (4042589*s[58])/4752 - 
       (4392107*s[59])/4752 - (74372503*s[60])/9504 + 
       (16701409*s[61])/42768 + s[68] - s[69] + s[77] - 104*s[82] - 
       4*s[85]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((-21*s[3])/4 + (41*s[4])/8 - (2947*s[5])/264 + (21101*s[6])/528 - 
       (185243*s[7])/1584 + (10397*s[8])/4752 + (38899*s[9])/432 + 
       (21451*s[10])/216 + (297371*s[11])/3168 + (188083*s[12])/3168 + 
       (1487*s[13])/1584 + (66523*s[14])/1584 + (14621*s[15])/48 + 
       (435617*s[16])/1584 + (352745*s[17])/1056 - (23497*s[18])/1296 + 
       (145237*s[19])/1296 + (297532*s[20])/891 + (1345771*s[21])/14256 - 
       (403081*s[22])/7128 + (596317*s[23])/3168 - (7642807*s[24])/28512 + 
       (25126403*s[25])/256608 - (11477111*s[26])/256608 - (17*s[36])/6 - 
       (5*s[37])/4 + 34*s[38] - (833*s[39])/12 + (301*s[40])/4 - 
       (1519*s[41])/24 + (2069*s[42])/24 + (3185*s[43])/44 - 
       (29219*s[44])/528 + (2218*s[45])/33 - (57311*s[46])/132 + 
       (12421*s[47])/528 + (20077*s[48])/528 - (46367*s[49])/176 + 
       (3479*s[50])/11 + (168401*s[51])/1584 + (9967*s[52])/176 - 
       (164365*s[53])/792 + (28*s[54])/33 - (2082193*s[55])/1584 - 
       (573439*s[56])/1584 + (749803*s[57])/1188 - (10530581*s[58])/14256 + 
       (10692635*s[59])/14256 + (4007623*s[60])/1056 - 
       (19052621*s[61])/128304 - 3*s[71] + 10*s[79] + (23*s[80])/2 - 
       104*s[82] - 4*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*((-7*s[2])/3 + (265*s[3])/12 + 
       (411*s[4])/8 - (85*s[5])/24 + (1697*s[6])/24 + (155747*s[7])/432 - 
       (30611*s[8])/648 - (90163*s[9])/324 - (745*s[10])/648 - 
       (23869*s[11])/54 - (246751*s[12])/432 - (54607*s[13])/144 + 
       (60313*s[14])/432 - (37279*s[15])/144 - (10903*s[16])/24 - 
       (28391*s[17])/216 - (208279*s[18])/1944 + (26953*s[19])/1944 - 
       (874363*s[20])/1944 - (646145*s[21])/3888 + (687079*s[22])/3888 + 
       (131963*s[23])/144 + (720907*s[24])/3888 - (5633177*s[25])/8748 + 
       (5423131*s[26])/17496 + (25*s[30])/3 - 4*s[32] - (7*s[34])/3 - 
       (28*s[35])/3 - (115*s[36])/9 - (515*s[37])/36 + (79*s[38])/2 - 
       (775*s[39])/8 + (6887*s[40])/72 - (763*s[41])/8 + (9913*s[42])/72 + 
       (3515*s[43])/72 - (7039*s[44])/144 + (1154*s[45])/9 - (5717*s[46])/8 + 
       (25241*s[47])/432 - (23065*s[48])/432 - (97157*s[49])/432 + 
       (9653*s[50])/18 + (62101*s[51])/432 + (61501*s[52])/432 - 
       (7793*s[53])/24 + 51*s[54] - (311485*s[55])/144 - (294019*s[56])/432 + 
       (111709*s[57])/81 - (5470973*s[58])/3888 + (4956479*s[59])/3888 + 
       (13765067*s[60])/2592 - (13742915*s[61])/34992 + s[68]/3 - s[69]/3 - 
       (7*s[71])/2 - (7*s[74])/6 + (7*s[75])/6 - (20*s[76])/3 + s[77]/3 + 
       (8*s[78])/3 - (52*s[79])/3 + (667*s[80])/18 - 78*s[82] - 4*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[v, u, w]*((2*s[3])/3 + (16*s[4])/3 - 
       (232*s[5])/33 - (585*s[6])/44 - (6841*s[7])/66 - (47*s[8])/44 + 
       (281*s[9])/3 + (499*s[10])/12 + (30505*s[11])/264 + 
       (31915*s[12])/264 + (2383*s[13])/33 + (601*s[14])/11 + (368*s[15])/3 + 
       (23723*s[16])/132 + (12993*s[17])/88 + (80*s[18])/3 + (61*s[19])/6 + 
       (10693*s[20])/44 + (40291*s[21])/396 - (11305*s[22])/198 - 
       (5171*s[23])/264 - (96851*s[24])/792 + (894745*s[25])/7128 - 
       (621145*s[26])/7128 + s[32]/6 + s[37] - (7*s[38])/3 + (49*s[39])/6 - 
       (61*s[40])/6 + 7*s[41] - (25*s[42])/3 - (823*s[43])/66 + 
       (1901*s[44])/132 - (623*s[45])/33 + (2631*s[46])/22 + (364*s[47])/99 - 
       (5047*s[48])/198 + (5981*s[49])/99 - (1004*s[50])/11 - 
       (535*s[51])/99 - (2227*s[52])/396 + (5422*s[53])/99 + (527*s[54])/66 + 
       (37856*s[55])/99 + (3899*s[56])/33 - (1382*s[57])/33 + 
       (50959*s[58])/297 - (93119*s[59])/594 - (629975*s[60])/594 + 
       (671819*s[61])/10692 + s[68]/3 - s[69]/3 + s[77]/3 - 19*s[82] - 
       4*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - v]*
      ((-25*s[2])/48 - (65*s[3])/24 + (43*s[4])/36 - (37859*s[5])/1584 - 
       (45743*s[6])/2112 - (431075*s[7])/1584 + (822383*s[8])/57024 + 
       (1261003*s[9])/5184 + (7889*s[10])/81 + (10477955*s[11])/38016 + 
       (10422673*s[12])/38016 + (1229795*s[13])/9504 + (1031807*s[14])/9504 + 
       (353135*s[15])/864 + (9194617*s[16])/19008 + (16852991*s[17])/38016 + 
       (1218623*s[18])/15552 + (327331*s[19])/15552 + 
       (27653095*s[20])/42768 + (10894111*s[21])/42768 - 
       (24458321*s[22])/171072 - (8404981*s[23])/38016 - 
       (101571193*s[24])/342144 + (938166611*s[25])/3079296 - 
       (629932307*s[26])/3079296 - s[32]/3 + s[37]/2 - (163*s[38])/36 + 
       (371*s[39])/16 - (419*s[40])/16 + (1433*s[41])/72 - 
       (10621*s[42])/288 - (17065*s[43])/792 + (152311*s[44])/6336 - 
       (23767*s[45])/528 + (56713*s[46])/198 - (141547*s[47])/19008 - 
       (77263*s[48])/19008 + (1731793*s[49])/19008 - (83243*s[50])/352 - 
       (82667*s[51])/2112 - (410051*s[52])/19008 + (1671037*s[53])/9504 - 
       (5359*s[54])/176 + (6885943*s[55])/6336 + (1701463*s[56])/6336 + 
       (69149*s[57])/4752 + (20931181*s[58])/57024 - (20876275*s[59])/57024 - 
       (269317141*s[60])/114048 + (26392723*s[61])/171072 - s[68]/6 + 
       s[69]/6 - s[73] - s[77]/6 - (69*s[82])/4 - 4*s[85]) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      (-s[2]/3 - (35*s[3])/24 - (27*s[4])/2 - (32903*s[5])/1584 - 
       (379765*s[6])/6336 - (5660423*s[7])/19008 + (334225*s[8])/19008 + 
       (424841*s[9])/1728 + (20087*s[10])/216 + (3917467*s[11])/12672 + 
       (1249379*s[12])/4224 + (1869545*s[13])/9504 + (177131*s[14])/1584 + 
       (782875*s[15])/1728 + (2526463*s[16])/4752 + (19035745*s[17])/38016 + 
       (262265*s[18])/5184 + (245743*s[19])/5184 + (17665301*s[20])/28512 + 
       (93163*s[21])/352 - (8524117*s[22])/57024 - (7582801*s[23])/38016 - 
       (39220619*s[24])/114048 + (42406459*s[25])/114048 - 
       (28553479*s[26])/114048 - s[30]/6 - s[34]/3 + s[35]/24 + 
       (37*s[36])/72 + (53*s[37])/36 - (5*s[38])/6 + (2671*s[39])/144 - 
       (335*s[40])/16 + (2767*s[41])/144 - (8611*s[42])/288 - 
       (3011*s[43])/88 + (73085*s[44])/3168 - (76333*s[45])/1584 + 
       (3528*s[46])/11 + (4429*s[47])/1584 - (2720*s[48])/99 + 
       (143041*s[49])/1056 - (251729*s[50])/1056 - (39113*s[51])/9504 - 
       (6835*s[52])/1056 + (915311*s[53])/4752 - (971*s[54])/176 + 
       (6084689*s[55])/4752 + (3240251*s[56])/9504 + (3319915*s[57])/28512 + 
       (34521841*s[58])/85536 - (9783529*s[59])/21384 - 
       (25696981*s[60])/9504 + (125625355*s[61])/769824 - s[68]/6 + s[69]/6 - 
       s[74]/6 + s[75]/6 + s[76]/3 - s[77]/6 - s[78]/3 + (2*s[79])/3 - 
       (5*s[80])/18 - (55*s[82])/4 - 4*s[85]) + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*Omega2[u, v, w]*(-s[2] - (19*s[3])/3 - (299*s[4])/6 - 
       (45*s[5])/2 - (545*s[6])/8 - (5141*s[7])/8 + (14927*s[8])/216 + 
       (114359*s[9])/216 + (4208*s[10])/27 + (100523*s[11])/144 + 
       (111019*s[12])/144 + (32371*s[13])/72 + (583*s[14])/72 + 
       (63053*s[15])/72 + (77125*s[16])/72 + (116519*s[17])/144 + 
       (85333*s[18])/648 + (57293*s[19])/648 + (394073*s[20])/324 + 
       (280471*s[21])/648 - (53507*s[22])/162 - (135559*s[23])/144 - 
       (859639*s[24])/1296 + (10668089*s[25])/11664 - (5669813*s[26])/11664 - 
       (5*s[32])/6 - (47*s[38])/3 + (1061*s[39])/12 - (1109*s[40])/12 + 
       (241*s[41])/3 - (545*s[42])/4 - (8911*s[43])/132 + (1497*s[44])/22 - 
       (11939*s[45])/132 + (47953*s[46])/66 - (2609*s[47])/66 + 
       (1007*s[48])/44 + (19883*s[49])/66 - (6151*s[50])/11 - 
       (35743*s[51])/396 - (3159*s[52])/44 + (53651*s[53])/132 - 
       (1148*s[54])/33 + (985067*s[55])/396 + (28899*s[56])/44 - 
       (305977*s[57])/396 + (1392857*s[58])/1188 - (700105*s[59])/594 - 
       (551609*s[60])/99 + (7506997*s[61])/21384 - (2*s[68])/3 + 
       (2*s[69])/3 - 2*s[73] - (2*s[77])/3 - 10*s[82] - 4*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*M1[v, w, u]*(-s[2]/3 + (19*s[3])/12 + 
       (39*s[4])/8 - (83*s[5])/264 - (1175*s[6])/264 - (33683*s[7])/4752 - 
       (29179*s[8])/7128 + (653*s[9])/81 + (8591*s[10])/648 + 
       (2785*s[11])/594 - (14543*s[12])/4752 - (1255*s[13])/1584 + 
       (156917*s[14])/4752 + (1825*s[15])/144 + (7141*s[16])/396 + 
       (77387*s[17])/2376 - (4381*s[18])/1944 + (10471*s[19])/1944 + 
       (883879*s[20])/21384 + (754295*s[21])/42768 - (212089*s[22])/42768 + 
       (152021*s[23])/1584 - (1305307*s[24])/42768 - (537397*s[25])/96228 - 
       (1163137*s[26])/192456 + s[30]/3 - s[34]/3 - (4*s[35])/3 - 
       (7*s[36])/9 + (35*s[37])/18 + (7*s[38])/2 - (117*s[39])/8 + 
       (893*s[40])/72 - (63*s[41])/8 + (1777*s[42])/72 + (2719*s[43])/792 - 
       (3863*s[44])/1584 - (6691*s[45])/792 + (45*s[46])/11 + 
       (68149*s[47])/4752 - (108005*s[48])/4752 - (90157*s[49])/4752 - 
       (1385*s[50])/198 + (52409*s[51])/4752 + (64565*s[52])/4752 + 
       (289*s[53])/66 + (245*s[54])/44 + (140803*s[55])/1584 + 
       (125977*s[56])/4752 + (396535*s[57])/1782 - (1932451*s[58])/42768 + 
       (2273335*s[59])/42768 - (5000807*s[60])/28512 + (701839*s[61])/48114 + 
       s[68]/3 - s[69]/3 - s[74]/6 + s[75]/6 - (2*s[76])/3 + s[77]/3 + 
       (2*s[78])/3 - (4*s[79])/3 + (14*s[80])/9 - 10*s[82] - 4*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Omega2[v, w, u]*
      (-s[2]/3 - (119*s[3])/12 - (95*s[4])/8 - (526*s[5])/11 - 
       (16087*s[6])/264 - (2869793*s[7])/4752 + (258611*s[8])/7128 + 
       (169343*s[9])/324 + (67483*s[10])/324 + (2895149*s[11])/4752 + 
       (173806*s[12])/297 + (177187*s[13])/528 + (946457*s[14])/4752 + 
       (136025*s[15])/144 + (846847*s[16])/792 + (4842487*s[17])/4752 + 
       (58979*s[18])/486 + (202273*s[19])/1944 + (28239067*s[20])/21384 + 
       (23152655*s[21])/42768 - (13137811*s[22])/42768 - (116605*s[23])/264 - 
       (14472281*s[24])/21384 + (34318417*s[25])/48114 - 
       (45425843*s[26])/96228 - (2*s[30])/3 - s[34]/3 + (5*s[35])/3 + 
       (14*s[36])/9 + (35*s[37])/18 - 12*s[38] + (323*s[39])/6 - 
       (1015*s[40])/18 + (118*s[41])/3 - (2887*s[42])/36 - 
       (14183*s[43])/198 + (10067*s[44])/198 - (37883*s[45])/396 + 
       (27787*s[46])/44 - (6245*s[47])/1188 - (24395*s[48])/1188 + 
       (354983*s[49])/1188 - (100031*s[50])/198 - (36541*s[51])/1188 - 
       (7351*s[52])/297 + (161831*s[53])/396 + (263*s[54])/22 + 
       (338611*s[55])/132 + (670957*s[56])/1188 + (741827*s[57])/3564 + 
       (2064746*s[58])/2673 - (9830267*s[59])/10692 - (19239013*s[60])/3564 + 
       (57497941*s[61])/192456 - (2*s[68])/3 + (2*s[69])/3 - s[74]/6 + 
       s[75]/6 + (4*s[76])/3 - (2*s[77])/3 - (4*s[78])/3 + (8*s[79])/3 - 
       (19*s[80])/9 + 2*s[82] - 4*s[85]) + HPL[{0, 1}, 1 - w]*M1[w, v, u]*
      ((13*s[2])/12 + (19*s[3])/8 + (593*s[4])/16 + (18077*s[5])/264 + 
       (49655*s[6])/528 + (8928419*s[7])/9504 - (978701*s[8])/14256 - 
       (66160*s[9])/81 - (84461*s[10])/324 - (9399701*s[11])/9504 - 
       (2424385*s[12])/2376 - (1829977*s[13])/3168 - (1916837*s[14])/9504 - 
       (131461*s[15])/96 - (141763*s[16])/88 - (13126507*s[17])/9504 - 
       (205175*s[18])/972 - (408373*s[19])/3888 - (84541393*s[20])/42768 - 
       (67820735*s[21])/85536 + (41981479*s[22])/85536 + (426523*s[23])/396 + 
       (20488645*s[24])/21384 - (459909673*s[25])/384912 + 
       (285541549*s[26])/384912 + (5*s[30])/6 + (4*s[31])/3 + (2*s[32])/3 + 
       (7*s[33])/6 - (23*s[34])/6 - (23*s[35])/6 - (41*s[36])/9 + 
       (91*s[37])/9 + (83*s[38])/3 - (3037*s[39])/24 + (8959*s[40])/72 - 
       (2105*s[41])/24 + (13991*s[42])/72 + (53633*s[43])/792 - 
       (63221*s[44])/792 + (22225*s[45])/396 - (486253*s[46])/792 + 
       (108695*s[47])/1188 - (246557*s[48])/2376 - (198589*s[49])/594 + 
       (45025*s[50])/99 + (312047*s[51])/2376 + (29542*s[52])/297 - 
       (410755*s[53])/1188 + (11383*s[54])/396 - (1574633*s[55])/792 - 
       (100013*s[56])/198 + (992507*s[57])/792 - (1013632*s[58])/891 + 
       (8456729*s[59])/7128 + (31406993*s[60])/7128 - 
       (29764055*s[61])/128304 - s[65]/3 - (4*s[66])/3 + (5*s[67])/3 + 
       (5*s[68])/3 + (5*s[69])/3 - s[70]/3 + s[71]/3 + (5*s[72])/3 - 
       3*s[73] - (7*s[74])/4 + (7*s[75])/4 - (4*s[76])/3 + (7*s[77])/6 + 
       (17*s[78])/3 + (4*s[79])/3 + (14*s[80])/9 + s[83] - 4*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w]*
      ((-85*s[2])/36 - (437*s[3])/144 - (9427*s[4])/72 - (481315*s[5])/6336 - 
       (1347317*s[6])/6336 - (215448781*s[7])/114048 + (6831163*s[8])/42768 + 
       (12339361*s[9])/7776 + (3622949*s[10])/7776 + (119933765*s[11])/
        57024 + (133233343*s[12])/57024 + (6745555*s[13])/4752 + 
       (8973545*s[14])/57024 + (8483105*s[15])/3456 + 
       (40023491*s[16])/12672 + (16676027*s[17])/7128 + 
       (15930973*s[18])/46656 + (12772397*s[19])/46656 + 
       (1886022575*s[20])/513216 + (674464337*s[21])/513216 - 
       (255600995*s[22])/256608 - (90881815*s[23])/38016 - 
       (2090535881*s[24])/1026432 + (12532104839*s[25])/4618944 - 
       (3361473415*s[26])/2309472 + (53*s[30])/72 - (10*s[31])/9 + 
       (7*s[32])/72 - (121*s[33])/144 + (71*s[34])/36 + (43*s[35])/72 + 
       (1175*s[36])/216 - (4259*s[37])/864 - (11027*s[38])/144 + 
       (85673*s[39])/288 - (286115*s[40])/864 + (12439*s[41])/48 - 
       (735809*s[42])/1728 - (2397469*s[43])/9504 + (2585521*s[44])/9504 - 
       (5023687*s[45])/19008 + (1524201*s[46])/704 - (727355*s[47])/7128 - 
       (685319*s[48])/28512 + (65971855*s[49])/57024 - (7844207*s[50])/4752 - 
       (16731119*s[51])/57024 - (1725595*s[52])/7128 + 
       (10659659*s[53])/9504 - (29449*s[54])/1056 + (67397929*s[55])/9504 + 
       (107608019*s[56])/57024 - (102185513*s[57])/42768 + 
       (1790041489*s[58])/513216 - (1801730527*s[59])/513216 - 
       (753482687*s[60])/42768 + (4176361261*s[61])/4618944 + s[65]/12 + 
       s[66]/3 - (2*s[67])/3 - (13*s[69])/12 - (5*s[70])/36 + (11*s[71])/48 - 
       (13*s[72])/9 + (23*s[73])/18 + (59*s[74])/36 - (59*s[75])/36 + 
       (3*s[76])/4 + (5*s[77])/6 - (5*s[78])/3 - (965*s[79])/36 + 
       (2113*s[80])/432 - 9*s[82] - s[83]/4 - (73*s[84])/6 - 4*s[85]) + 
     HPL[{0, 1}, 1 - u]*M1[w, v, u]*((-119*s[2])/12 + (481*s[3])/24 - 
       (4505*s[4])/48 - (38023*s[5])/264 - (145265*s[6])/528 - 
       (22645717*s[7])/9504 + (715393*s[8])/4752 + (111781*s[9])/54 + 
       (73387*s[10])/108 + (8246105*s[11])/3168 + (1090867*s[12])/396 + 
       (15784553*s[13])/9504 + (1587293*s[14])/3168 + (2788555*s[15])/864 + 
       (1210714*s[16])/297 + (31518181*s[17])/9504 + (35765*s[18])/81 + 
       (442513*s[19])/1296 + (69844525*s[20])/14256 + (664759*s[21])/352 - 
       (36397247*s[22])/28512 - (693062*s[23])/297 - (18714659*s[24])/7128 + 
       (136238725*s[25])/42768 - (79350049*s[26])/42768 + (7*s[30])/6 - 
       (14*s[31])/3 + (7*s[32])/3 - (41*s[33])/12 + (47*s[34])/6 - 
       (7*s[35])/6 + (88*s[36])/9 - (73*s[37])/6 - (239*s[38])/3 + 
       (8497*s[39])/24 - (28163*s[40])/72 + (2507*s[41])/8 - 
       (37525*s[42])/72 - (247333*s[43])/792 + (274537*s[44])/792 - 
       (6821*s[45])/22 + (2119255*s[46])/792 - (33151*s[47])/297 - 
       (127433*s[48])/2376 + (442609*s[49])/297 - (207509*s[50])/99 - 
       (820999*s[51])/2376 - (74669*s[52])/297 + (861833*s[53])/594 + 
       (21851*s[54])/396 + (7135223*s[55])/792 + (1342013*s[56])/594 - 
       (16762883*s[57])/7128 + (43627781*s[58])/10692 - 
       (90402511*s[59])/21384 - (19637840*s[60])/891 + 
       (427163939*s[61])/384912 + (2*s[65])/3 + (8*s[66])/3 - (13*s[67])/3 - 
       s[68]/3 - (25*s[69])/3 - s[70]/3 - (2*s[71])/3 - (11*s[72])/3 + 
       (19*s[73])/3 + (31*s[74])/12 - (31*s[75])/12 + (23*s[77])/6 - 
       (19*s[78])/3 - 24*s[79] + 9*s[80] - 30*s[82] - 2*s[83] - 6*s[84] - 
       4*s[85]) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      ((-13*s[2])/72 - (107*s[3])/36 - (298*s[4])/9 - (252083*s[5])/6336 - 
       (451621*s[6])/6336 - (10193039*s[7])/14256 + (8025095*s[8])/171072 + 
       (9483301*s[9])/15552 + (3258521*s[10])/15552 + 
       (44275651*s[11])/57024 + (23818621*s[12])/28512 + 
       (27786617*s[13])/57024 + (8420041*s[14])/57024 + 
       (5061637*s[15])/5184 + (69962093*s[16])/57024 + (6233609*s[17])/6336 + 
       (806983*s[18])/5832 + (5061199*s[19])/46656 + (385751591*s[20])/
        256608 + (286861519*s[21])/513216 - (193520885*s[22])/513216 - 
       (40374115*s[23])/57024 - (412131455*s[24])/513216 + 
       (8859563699*s[25])/9237888 - (5111486681*s[26])/9237888 - s[30]/6 + 
       (5*s[31])/36 + (7*s[32])/9 + (199*s[33])/288 - (43*s[34])/72 + 
       (29*s[35])/36 + (227*s[36])/216 - (491*s[37])/288 - (3251*s[38])/144 + 
       (931*s[39])/12 - (19565*s[40])/216 + (6175*s[41])/96 - 
       (178793*s[42])/1728 - (40237*s[43])/594 + (2834239*s[44])/38016 - 
       (199901*s[45])/2112 + (12410879*s[46])/19008 - 
       (2433257*s[47])/114048 - (2299145*s[48])/114048 + 
       (37007537*s[49])/114048 - (594887*s[50])/1188 - 
       (8023111*s[51])/114048 - (7103935*s[52])/114048 + 
       (19513891*s[53])/57024 - (14623*s[54])/4752 + (85505281*s[55])/38016 + 
       (68724923*s[56])/114048 - (43337081*s[57])/85536 + 
       (1037411839*s[58])/1026432 - (1041948775*s[59])/1026432 - 
       (3755587265*s[60])/684288 + (335611691*s[61])/1154736 - s[65]/24 - 
       s[66]/6 + s[67]/3 + s[68]/2 + (5*s[69])/12 - (5*s[70])/36 - s[71]/48 - 
       s[72]/9 + (4*s[73])/9 + (3*s[74])/8 - (3*s[75])/8 + (13*s[76])/36 - 
       s[77]/12 + (11*s[78])/36 - (403*s[79])/36 + (593*s[80])/144 - 
       21*s[82] + s[83]/8 - (65*s[84])/12 - 4*s[85]) + 
     HPL[{0, 1}, 1 - v]*M1[v, u, w]*(4*s[2] - (127*s[3])/12 + (361*s[4])/8 + 
       (44983*s[5])/264 + (32299*s[6])/132 + (3523255*s[7])/1584 - 
       (207193*s[8])/1782 - (1263923*s[9])/648 - (459433*s[10])/648 - 
       (11200273*s[11])/4752 - (709604*s[12])/297 - (6486511*s[13])/4752 - 
       (3282229*s[14])/4752 - (1383281*s[15])/432 - (9245057*s[16])/2376 - 
       (16291813*s[17])/4752 - (886609*s[18])/1944 - (619427*s[19])/1944 - 
       (103421033*s[20])/21384 - (83287525*s[21])/42768 + 
       (50422895*s[22])/42768 + (2091809*s[23])/1188 + (6632765*s[24])/2673 - 
       (1062975169*s[25])/384912 + (674145721*s[26])/384912 - (2*s[30])/3 + 
       (2*s[31])/3 - (5*s[32])/2 - (19*s[33])/12 - 3*s[34] - (7*s[35])/3 - 
       (179*s[36])/18 + (103*s[37])/12 + (331*s[38])/6 - (6077*s[39])/24 + 
       (19307*s[40])/72 - (1625*s[41])/8 + (27241*s[42])/72 + 
       (133321*s[43])/792 - (339791*s[44])/1584 + (47591*s[45])/264 - 
       (635639*s[46])/396 + (619687*s[47])/4752 - (435191*s[48])/4752 - 
       (4065925*s[49])/4752 + (124226*s[50])/99 + (1277669*s[51])/4752 + 
       (944045*s[52])/4752 - (524681*s[53])/594 + (9721*s[54])/396 - 
       (943127*s[55])/176 - (6311539*s[56])/4752 + (7145959*s[57])/3564 - 
       (112223531*s[58])/42768 + (115253291*s[59])/42768 + 
       (360508105*s[60])/28512 - (32253361*s[61])/48114 - (2*s[65])/3 - 
       (5*s[66])/3 + (11*s[67])/3 + (5*s[68])/3 + (17*s[69])/3 + 
       (2*s[70])/3 + (2*s[71])/3 + (8*s[72])/3 - (16*s[73])/3 - 3*s[74] + 
       3*s[75] + (4*s[76])/3 - (13*s[77])/3 + (20*s[78])/3 + 10*s[79] - 
       (31*s[80])/6 + 2*s[83] + 2*s[84] - 4*s[85]) + 
     D36[u, v, w]*((17*s[2])/12 - (79*s[3])/24 + (647*s[4])/16 + 
       (1547*s[5])/44 + (12373*s[6])/176 + (6428579*s[7])/9504 - 
       (768505*s[8])/14256 - (187907*s[9])/324 - (106253*s[10])/648 - 
       (7150213*s[11])/9504 - (1971719*s[12])/2376 - (4783979*s[13])/9504 - 
       (598945*s[14])/9504 - (760933*s[15])/864 - (1337983*s[16])/1188 - 
       (2673433*s[17])/3168 - (31111*s[18])/243 - (348641*s[19])/3888 - 
       (56543585*s[20])/42768 - (42188287*s[21])/85536 + 
       (30874475*s[22])/85536 + (1023377*s[23])/1188 + 
       (15137369*s[24])/21384 - (368051567*s[25])/384912 + 
       (202803647*s[26])/384912 + s[31] - s[32]/2 + (5*s[33])/8 - 
       (7*s[34])/3 - s[35]/2 - (61*s[36])/18 + (187*s[37])/36 + 
       (89*s[38])/3 - (733*s[39])/6 + (2359*s[40])/18 - (298*s[41])/3 + 
       (6451*s[42])/36 + (17099*s[43])/198 - (162523*s[44])/1584 + 
       (55553*s[45])/792 - (553735*s[46])/792 + (280133*s[47])/4752 - 
       (139099*s[48])/4752 - (1986863*s[49])/4752 + (210373*s[50])/396 + 
       (578353*s[51])/4752 + (466075*s[52])/4752 - (422509*s[53])/1188 + 
       (1249*s[54])/396 - (3418847*s[55])/1584 - (880075*s[56])/1584 + 
       (922331*s[57])/792 - (17375683*s[58])/14256 + (17538265*s[59])/14256 + 
       (156600959*s[60])/28512 - (33951395*s[61])/128304 - s[65]/6 - 
       (2*s[66])/3 + s[67] + (2*s[68])/3 + (4*s[69])/3 + s[71]/6 + s[72] - 
       (5*s[73])/3 - (13*s[74])/12 + (13*s[75])/12 - s[76]/3 - s[77]/2 + 
       (7*s[78])/3 + (26*s[79])/3 - (41*s[80])/18 - 15*s[82] + s[83]/2 + 
       3*s[84] - 4*s[85]) + HPL[{0, 1}, 1 - w]*M1[u, v, w]*
      ((13*s[2])/3 + (105*s[3])/4 + (919*s[4])/4 + (5207*s[5])/66 + 
       (82579*s[6])/264 + (12704251*s[7])/4752 - (1752769*s[8])/7128 - 
       (355589*s[9])/162 - (101665*s[10])/162 - (14267083*s[11])/4752 - 
       (16036901*s[12])/4752 - (828391*s[13])/396 - (42347*s[14])/594 - 
       (496483*s[15])/144 - (7056305*s[16])/1584 - (15259625*s[17])/4752 - 
       (864295*s[18])/1944 - (851891*s[19])/1944 - (107236199*s[20])/21384 - 
       (9243257*s[21])/5346 + (14845661*s[22])/10692 + (2870467*s[23])/792 + 
       (62300605*s[24])/21384 - (1528277059*s[25])/384912 + 
       (789868459*s[26])/384912 - s[30]/6 + s[31]/3 - (5*s[32])/6 + 
       (13*s[33])/24 - (5*s[34])/6 - (7*s[35])/3 - (151*s[36])/18 + 
       (199*s[37])/36 + (745*s[38])/6 - (10507*s[39])/24 + (34597*s[40])/72 - 
       (9167*s[41])/24 + (11207*s[42])/18 + (318407*s[43])/792 - 
       (313253*s[44])/792 + (288677*s[45])/792 - (305966*s[46])/99 + 
       (313633*s[47])/2376 + (42265*s[48])/594 - (2072099*s[49])/1188 + 
       (922615*s[50])/396 + (990191*s[51])/2376 + (425137*s[52])/1188 - 
       (3768095*s[53])/2376 + (7174*s[54])/99 - (3957625*s[55])/396 - 
       (262612*s[56])/99 + (298989*s[57])/88 - (35346953*s[58])/7128 + 
       (35941937*s[59])/7128 + (359512753*s[60])/14256 - 
       (79763053*s[61])/64152 + s[65]/6 + (2*s[66])/3 - s[67]/3 + 
       (2*s[68])/3 - (4*s[69])/3 + (2*s[70])/3 - (7*s[71])/6 + (2*s[72])/3 - 
       (3*s[74])/2 + (3*s[75])/2 - (10*s[76])/3 - s[77]/3 + (2*s[78])/3 + 
       (94*s[79])/3 + (43*s[80])/18 - 90*s[82] - s[83]/2 + 21*s[84] - 
       4*s[85]) + HPL[{0, 1}, 1 - v]*M1[v, w, u]*((41*s[2])/4 - 
       (155*s[3])/24 + (4147*s[4])/16 + (55585*s[5])/264 + 
       (256801*s[6])/528 + (13554595*s[7])/3168 - (5018573*s[8])/14256 - 
       (1182679*s[9])/324 - (670549*s[10])/648 - (44664077*s[11])/9504 - 
       (12239995*s[12])/2376 - (29667779*s[13])/9504 - (4773653*s[14])/9504 - 
       (4860223*s[15])/864 - (33772681*s[16])/4752 - (51218507*s[17])/9504 - 
       (845597*s[18])/972 - (1818565*s[19])/3888 - (360641359*s[20])/42768 - 
       (271409063*s[21])/85536 + (193337227*s[22])/85536 + 
       (26298755*s[23])/4752 + (188752697*s[24])/42768 - 
       (2292446515*s[25])/384912 + (1289921323*s[26])/384912 + (4*s[30])/3 + 
       (17*s[31])/3 - s[32]/2 + (139*s[33])/24 - 11*s[34] - (11*s[35])/6 - 
       (305*s[36])/18 + (269*s[37])/12 + (1087*s[38])/6 - (2170*s[39])/3 + 
       (14117*s[40])/18 - (2439*s[41])/4 + (38123*s[42])/36 + 
       (58955*s[43])/99 - (61229*s[44])/99 + (152359*s[45])/264 - 
       (3930343*s[46])/792 + (686525*s[47])/2376 - (129895*s[48])/2376 - 
       (6245669*s[49])/2376 + (1481891*s[50])/396 + (1689517*s[51])/2376 + 
       (350137*s[52])/594 - (6236531*s[53])/2376 + (85975*s[54])/396 - 
       (2159437*s[55])/132 - (10404983*s[56])/2376 + (42124127*s[57])/7128 - 
       (173451865*s[58])/21384 + (44247835*s[59])/5346 + 
       (35214626*s[60])/891 - (789429941*s[61])/384912 - s[65]/6 - 
       (2*s[66])/3 + (2*s[67])/3 + (2*s[68])/3 + (2*s[69])/3 - (7*s[70])/3 - 
       (5*s[71])/6 + (11*s[72])/3 - s[73]/3 - (17*s[74])/4 + (17*s[75])/4 - 
       (20*s[76])/3 + s[77]/6 + (23*s[78])/3 + 54*s[79] - (3*s[80])/2 - 
       90*s[82] + s[83]/2 + 23*s[84] - 4*s[85]) + HPL[{0, 1}, 1 - u]*
      M1[u, v, w]*((77*s[2])/6 + (14*s[3])/3 + (7967*s[4])/24 + 
       (3455*s[5])/12 + (7595*s[6])/12 + (2506223*s[7])/432 - 
       (32293*s[8])/72 - (355223*s[9])/72 - (110213*s[10])/72 - 
       (458395*s[11])/72 - (110533*s[12])/16 - (1785295*s[13])/432 - 
       (111437*s[14])/144 - (3363961*s[15])/432 - (2120411*s[16])/216 - 
       (413809*s[17])/54 - (177109*s[18])/162 - (134651*s[19])/162 - 
       (7507129*s[20])/648 - (5562847*s[21])/1296 + (1321631*s[22])/432 + 
       (2939123*s[23])/432 + (2708095*s[24])/432 - (23419267*s[25])/2916 + 
       (6536033*s[26])/1458 - (5*s[30])/6 + (19*s[31])/3 - (19*s[32])/6 + 
       (107*s[33])/24 - (73*s[34])/6 - (14*s[35])/3 - (445*s[36])/18 + 
       (287*s[37])/12 + (1343*s[38])/6 - (21251*s[39])/24 + 
       (69253*s[40])/72 - (6037*s[41])/8 + (46519*s[42])/36 + 
       (585095*s[43])/792 - (1249891*s[44])/1584 + (186761*s[45])/264 - 
       (2425333*s[46])/396 + (1582217*s[47])/4752 - (2641*s[48])/4752 - 
       (16118429*s[49])/4752 + (1867255*s[50])/396 + (4203349*s[51])/4752 + 
       (3306637*s[52])/4752 - (1933111*s[53])/594 + (28607*s[54])/396 - 
       (31895279*s[55])/1584 - (24651719*s[56])/4752 + 
       (48530035*s[57])/7128 - (418733413*s[58])/42768 + 
       (428449489*s[59])/42768 + (1414229525*s[60])/28512 - 
       (60272155*s[61])/24057 - (5*s[65])/6 - (10*s[66])/3 + (17*s[67])/3 + 
       (8*s[68])/3 + (26*s[69])/3 + (2*s[70])/3 - s[71]/6 + (16*s[72])/3 - 
       (26*s[73])/3 - (17*s[74])/3 + (17*s[75])/3 - 4*s[76] - (8*s[77])/3 + 
       (32*s[78])/3 + 54*s[79] - (29*s[80])/6 - 60*s[82] + (5*s[83])/2 + 
       27*s[84] - 4*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*(4*s[2] + s[3]/6 + 
       (4351*s[4])/12 - (443*s[5])/264 + (3801*s[6])/11 + (661217*s[7])/264 - 
       (229205*s[8])/594 - (216317*s[9])/108 - (44699*s[10])/216 - 
       (4667411*s[11])/1584 - (5788345*s[12])/1584 - (1860829*s[13])/792 + 
       (60019*s[14])/99 - (96751*s[15])/36 - (2994055*s[16])/792 - 
       (2923979*s[17])/1584 - (172519*s[18])/324 - (38863*s[19])/648 - 
       (28306363*s[20])/7128 - (4249139*s[21])/3564 + (9327089*s[22])/7128 + 
       (9464989*s[23])/1584 + (31219633*s[24])/14256 - 
       (33808331*s[25])/8019 + (123085375*s[26])/64152 + s[30] + 2*s[31] + 
       (43*s[32])/6 + (21*s[33])/4 - 3*s[34] + 2*s[35] - (10*s[36])/3 + 
       (58*s[37])/3 + (518*s[38])/3 - (17825*s[39])/24 + (19825*s[40])/24 - 
       (5413*s[41])/8 + (27173*s[42])/24 + (54597*s[43])/88 - 
       (107287*s[44])/176 + (105505*s[45])/264 - (48635*s[46])/11 + 
       (520049*s[47])/1584 - (77713*s[48])/1584 - (3867287*s[49])/1584 + 
       (424403*s[50])/132 + (1249399*s[51])/1584 + (1003555*s[52])/1584 - 
       (866531*s[53])/396 + (33389*s[54])/66 - (20911111*s[55])/1584 - 
       (6354197*s[56])/1584 + (4746289*s[57])/594 - (112164637*s[58])/14256 + 
       (111266473*s[59])/14256 + (320200211*s[60])/9504 - 
       (56151001*s[61])/32076 + s[65] + 4*s[66] - 8*s[67] - (11*s[68])/3 - 
       (37*s[69])/3 - 4*s[70] - 2*s[71] + 12*s[73] - s[74] + s[75] - 
       8*s[76] + (19*s[77])/3 - 2*s[78] + 84*s[79] - (34*s[80])/3 - 
       258*s[82] - 3*s[83] + 42*s[84] - 4*s[85]) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]^2*((-169*s[2])/48 - (491*s[3])/96 - 
       (27107*s[4])/192 - (42535*s[5])/528 - (156229*s[6])/704 - 
       (26520617*s[7])/12672 + (10685743*s[8])/57024 + (2277497*s[9])/1296 + 
       (337355*s[10])/648 + (88055305*s[11])/38016 + (48985813*s[12])/19008 + 
       (58913353*s[13])/38016 + (6450643*s[14])/38016 + 
       (9436265*s[15])/3456 + (66312791*s[16])/19008 + 
       (97655263*s[17])/38016 + (3139097*s[18])/7776 + 
       (4320335*s[19])/15552 + (699438815*s[20])/171072 + 
       (499704817*s[21])/342144 - (376575605*s[22])/342144 - 
       (25859417*s[23])/9504 - (191266349*s[24])/85536 + 
       (4595977427*s[25])/1539648 - (2477206175*s[26])/1539648 - 
       (2*s[30])/3 - (13*s[31])/12 + s[32]/4 - (47*s[33])/96 + (3*s[34])/2 + 
       s[35]/24 + (73*s[36])/18 - (215*s[37])/48 - (545*s[38])/6 + 
       (11057*s[39])/32 - (110701*s[40])/288 + (29287*s[41])/96 - 
       (142343*s[42])/288 - (1014995*s[43])/3168 + (1023359*s[44])/3168 - 
       (343369*s[45])/1056 + (4188229*s[46])/1584 - (901453*s[47])/9504 - 
       (164965*s[48])/2376 + (13401133*s[49])/9504 - (3214951*s[50])/1584 - 
       (782543*s[51])/2376 - (630539*s[52])/2376 + (1667621*s[53])/1188 - 
       (92171*s[54])/1584 + (28160149*s[55])/3168 + (22064635*s[56])/9504 - 
       (8541299*s[57])/3564 + (43926739*s[58])/10692 - 
       (359847371*s[59])/85536 - (619234031*s[60])/28512 + 
       (1712243857*s[61])/1539648 - s[65]/6 - (2*s[66])/3 + (5*s[67])/3 + 
       (5*s[68])/3 + (5*s[69])/3 + (7*s[70])/6 + (13*s[71])/24 - s[72]/12 - 
       (25*s[73])/12 + (13*s[74])/16 - (13*s[75])/16 + (31*s[76])/12 - 
       (35*s[77])/24 - (7*s[78])/12 - (61*s[79])/2 + (37*s[80])/8 + 
       (15*s[82])/2 + s[83]/2 - (29*s[84])/2 - 3*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]^2*((-19*s[2])/16 + (61*s[3])/96 - 
       (14855*s[4])/192 - (9803*s[5])/264 - (82937*s[6])/704 - 
       (4515209*s[7])/4224 + (652357*s[8])/6336 + (257557*s[9])/288 + 
       (70643*s[10])/288 + (5063759*s[11])/4224 + (2857577*s[12])/2112 + 
       (1168865*s[13])/1408 + (193601*s[14])/4224 + (1559833*s[15])/1152 + 
       (1242441*s[16])/704 + (1768027*s[17])/1408 + (81205*s[18])/432 + 
       (250715*s[19])/1728 + (38511845*s[20])/19008 + 
       (26982127*s[21])/38016 - (21550055*s[22])/38016 - (250593*s[23])/176 - 
       (1351585*s[24])/1188 + (268562555*s[25])/171072 - 
       (140734961*s[26])/171072 - (11*s[30])/12 - (19*s[31])/12 + s[32] - 
       (185*s[33])/96 + (5*s[34])/2 + (19*s[35])/24 + (379*s[36])/72 - 
       (97*s[37])/144 - (339*s[38])/8 + (8309*s[39])/48 - (27551*s[40])/144 + 
       (929*s[41])/6 - (35713*s[42])/144 - (226597*s[43])/1584 + 
       (509495*s[44])/3168 - (472217*s[45])/3168 + (3963373*s[46])/3168 - 
       (572863*s[47])/9504 - (79909*s[48])/9504 + (6354385*s[49])/9504 - 
       (1521151*s[50])/1584 - (1617119*s[51])/9504 - (1319837*s[52])/9504 + 
       (6156155*s[53])/9504 - (18817*s[54])/1584 + (6481909*s[55])/1584 + 
       (3449707*s[56])/3168 - (14240165*s[57])/9504 + (722199*s[58])/352 - 
       (9767771*s[59])/4752 - (290766491*s[60])/28512 + 
       (271374679*s[61])/513216 + s[65]/12 + s[66]/3 - s[67]/3 + s[68]/6 - 
       (5*s[69])/6 + (2*s[70])/3 + s[71]/6 - (7*s[72])/12 + (5*s[73])/12 + 
       (15*s[74])/16 - (15*s[75])/16 + (13*s[76])/12 + (7*s[77])/24 - 
       (19*s[78])/12 - (46*s[79])/3 - (7*s[80])/72 - (87*s[82])/2 - s[83]/4 - 
       4*s[84] - 3*s[85]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*((9*s[2])/4 + (1625*s[3])/72 + 
       (15517*s[4])/72 + (23681*s[5])/144 + (20273*s[6])/48 + 
       (3185731*s[7])/864 - (412397*s[8])/1296 - (501697*s[9])/162 - 
       (1226845*s[10])/1296 - (3449249*s[11])/864 - (1876517*s[12])/432 - 
       (2214751*s[13])/864 - (480725*s[14])/864 - (4264891*s[15])/864 - 
       (2672045*s[16])/432 - (464453*s[17])/96 - (1494575*s[18])/1944 - 
       (1665491*s[19])/3888 - (7204219*s[20])/972 - (21410459*s[21])/7776 + 
       (14869615*s[22])/7776 + (123112*s[23])/27 + (7472851*s[24])/1944 - 
       (88203245*s[25])/17496 + (100602433*s[26])/34992 + (11*s[30])/12 + 
       (5*s[31])/6 + (11*s[32])/18 - (15*s[33])/16 - (13*s[34])/12 - 
       4*s[35] - (385*s[36])/36 + (841*s[37])/72 + (4729*s[38])/36 - 
       (70637*s[39])/144 + (26107*s[40])/48 - (6709*s[41])/16 + 
       (11509*s[42])/16 + (693955*s[43])/1584 - (1343351*s[44])/3168 + 
       (275309*s[45])/528 - (344337*s[46])/88 + (608471*s[47])/3168 + 
       (11695*s[48])/1056 - (5813881*s[49])/3168 + (291332*s[50])/99 + 
       (549535*s[51])/1056 + (1363547*s[52])/3168 - (4983065*s[53])/2376 + 
       (112973*s[54])/396 - (127282747*s[55])/9504 - (35183857*s[56])/9504 + 
       (3182510*s[57])/891 - (530697845*s[58])/85536 + 
       (536680289*s[59])/85536 + (599259433*s[60])/19008 - 
       (677108005*s[61])/384912 + s[65]/6 + (2*s[66])/3 - (4*s[67])/3 + 
       (14*s[68])/9 - (29*s[69])/9 - s[70]/3 - (7*s[71])/6 + s[72] - 
       (4*s[73])/3 - 2*s[74] + 2*s[75] - 4*s[76] + (29*s[77])/9 + 
       (4*s[78])/3 + 40*s[79] + (41*s[80])/36 - (248*s[82])/3 - s[83]/2 + 
       23*s[84] - (8*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((209*s[2])/72 + (929*s[3])/144 + 
       (6605*s[4])/32 + (101237*s[5])/792 + (1101443*s[6])/3168 + 
       (174275639*s[7])/57024 - (24341885*s[8])/85536 - (5039101*s[9])/1944 - 
       (2716189*s[10])/3888 - (191895413*s[11])/57024 - 
       (53622583*s[12])/14256 - (42339001*s[13])/19008 - 
       (19150481*s[14])/57024 - (6762635*s[15])/1728 - (3978905*s[16])/792 - 
       (209345935*s[17])/57024 - (8096923*s[18])/11664 - 
       (5656567*s[19])/23328 - (1545539857*s[20])/256608 - 
       (1141492811*s[21])/513216 + (825506563*s[22])/513216 + 
       (5241575*s[23])/1188 + (193040981*s[24])/64152 - 
       (9879973681*s[25])/2309472 + (5520771391*s[26])/2309472 + 
       (55*s[30])/18 + (11*s[31])/6 + (2*s[32])/3 + (37*s[33])/16 - 
       (23*s[34])/9 - (13*s[35])/18 - (241*s[36])/54 + (1609*s[37])/54 + 
       (1585*s[38])/12 - (25757*s[39])/48 + (251165*s[40])/432 - 
       (7111*s[41])/16 + (346819*s[42])/432 + (1997659*s[43])/4752 - 
       (2071423*s[44])/4752 + (437441*s[45])/1188 - (5458427*s[46])/1584 + 
       (437575*s[47])/1782 - (803095*s[48])/14256 - (25609673*s[49])/14256 + 
       (3011329*s[50])/1188 + (2001949*s[51])/3564 + (1616347*s[52])/3564 - 
       (1045277*s[53])/594 + (32884*s[54])/99 - (51431113*s[55])/4752 - 
       (45037471*s[56])/14256 + (217813333*s[57])/42768 - 
       (755128433*s[58])/128304 + (374471767*s[59])/64152 + 
       (2293054073*s[60])/85536 - (3296412727*s[61])/2309472 + s[65]/6 + 
       (2*s[66])/3 - (4*s[67])/3 + (37*s[68])/18 - (67*s[69])/18 - 
       (5*s[70])/6 + (3*s[72])/2 + (7*s[73])/6 - (173*s[74])/72 + 
       (173*s[75])/72 - (155*s[76])/18 + (107*s[77])/36 + (13*s[78])/9 + 
       (517*s[79])/9 - (422*s[80])/27 - (149*s[82])/3 - s[83]/2 + 23*s[84] - 
       (8*s[85])/3) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^4*
      (-s[2]/4 - (65*s[3])/48 - (49*s[4])/8 - (274*s[5])/33 - 
       (24697*s[6])/1408 - (644455*s[7])/4224 + (429403*s[8])/38016 + 
       (449255*s[9])/3456 + (83933*s[10])/1728 + (4121365*s[11])/25344 + 
       (4272995*s[12])/25344 + (619573*s[13])/6336 + (213229*s[14])/6336 + 
       (251105*s[15])/1152 + (420985*s[16])/1584 + (5710261*s[17])/25344 + 
       (309265*s[18])/10368 + (259781*s[19])/10368 + (2283911*s[20])/7128 + 
       (845507*s[21])/7128 - (9033553*s[22])/114048 - (3401885*s[23])/25344 - 
       (39582221*s[24])/228096 + (410628175*s[25])/2052864 - 
       (237467599*s[26])/2052864 - s[32]/6 + s[37]/4 - (47*s[38])/16 + 
       (739*s[39])/48 - (811*s[40])/48 + (2545*s[41])/192 - 
       (4369*s[42])/192 - (135*s[43])/8 + (1559*s[44])/96 - (1175*s[45])/48 + 
       (8239*s[46])/48 - (1489*s[47])/576 - (4819*s[48])/576 + 
       (43537*s[49])/576 - (1091*s[50])/8 - (9505*s[51])/576 - 
       (353*s[52])/36 + (28387*s[53])/288 + (77*s[54])/24 + 
       (358955*s[55])/576 + (7217*s[56])/48 - (453*s[57])/16 + 
       (399419*s[58])/1728 - (12937*s[59])/54 - (77353*s[60])/54 + 
       (2556533*s[61])/31104 - s[68]/12 + s[69]/12 - s[73]/2 - s[77]/12 - 
       (85*s[82])/8 - 2*s[85]) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^3*
      (-s[2]/6 - (73*s[3])/48 - (7*s[4])/4 - (2843*s[5])/264 - 
       (19455*s[6])/1408 - (1273061*s[7])/9504 + (780001*s[8])/114048 + 
       (1194713*s[9])/10368 + (130975*s[10])/2592 + (10203157*s[11])/76032 + 
       (9495227*s[12])/76032 + (446087*s[13])/6336 + (466583*s[14])/9504 + 
       (20987*s[15])/96 + (1035581*s[16])/4224 + (18399977*s[17])/76032 + 
       (664699*s[18])/31104 + (961433*s[19])/31104 + 
       (51229375*s[20])/171072 + (20284549*s[21])/171072 - 
       (23361277*s[22])/342144 - (1610581*s[23])/25344 - 
       (113145743*s[24])/684288 + (966996277*s[25])/6158592 - 
       (628168021*s[26])/6158592 - s[30]/12 - s[34]/6 + s[35]/12 + 
       (7*s[36])/36 - (31*s[37])/144 - (23*s[38])/16 + (295*s[39])/48 - 
       (1057*s[40])/144 + (871*s[41])/192 - (5033*s[42])/576 - 
       (10639*s[43])/792 + (117265*s[44])/12672 - (39649*s[45])/1584 + 
       (24679*s[46])/176 + (124147*s[47])/38016 - (399497*s[48])/38016 + 
       (2234075*s[49])/38016 - (92569*s[50])/792 - (115177*s[51])/38016 - 
       (1621*s[52])/38016 + (604415*s[53])/6336 + (3177*s[54])/352 + 
       (7856693*s[55])/12672 + (4906675*s[56])/38016 + 
       (4686581*s[57])/28512 + (47979293*s[58])/342144 - 
       (60997415*s[59])/342144 - (290111123*s[60])/228096 + 
       (215715017*s[61])/3079296 - s[68]/12 + s[69]/12 - s[74]/12 + 
       s[75]/12 + s[76]/6 - s[77]/12 - s[78]/6 + s[79]/3 - (5*s[80])/36 - 
       (55*s[82])/8 - 2*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - v]*((-889*s[2])/24 + (725*s[3])/48 - 
       (102641*s[4])/96 - (21775*s[5])/48 - (40993*s[6])/32 - 
       (7570469*s[7])/576 + (3163093*s[8])/2592 + (3607301*s[9])/324 + 
       (1832315*s[10])/648 + (25451809*s[11])/1728 + (7214477*s[12])/432 + 
       (17753023*s[13])/1728 - (335519*s[14])/1728 + (28732243*s[15])/1728 + 
       (9238063*s[16])/432 + (25862695*s[17])/1728 + (1185407*s[18])/486 + 
       (13065835*s[19])/7776 + (189158813*s[20])/7776 + 
       (132846835*s[21])/15552 - (108738323*s[22])/15552 - 
       (2161475*s[23])/108 - (51993563*s[24])/3888 + (1356727775*s[25])/
        69984 - (698003231*s[26])/69984 + (35*s[30])/12 - (58*s[31])/3 - 
       (139*s[33])/6 + (121*s[34])/4 - (19*s[35])/4 + (2225*s[36])/36 - 
       (3413*s[37])/72 - (8503*s[38])/12 + (10813*s[39])/4 - 
       (53821*s[40])/18 + (56173*s[41])/24 - (70811*s[42])/18 - 
       (882439*s[43])/396 + (7325141*s[44])/3168 - (3260803*s[45])/1584 + 
       (28457597*s[46])/1584 - (9405559*s[47])/9504 + (971753*s[48])/9504 + 
       (95057077*s[49])/9504 - (1372903*s[50])/99 - (25497167*s[51])/9504 - 
       (21547853*s[52])/9504 + (22394663*s[53])/2376 - (26519*s[54])/198 + 
       (183243485*s[55])/3168 + (47375041*s[56])/3168 - 
       (111151105*s[57])/4752 + (282138847*s[58])/9504 - 
       (286615433*s[59])/9504 - (8223719701*s[60])/57024 + 
       (1859895749*s[61])/256608 + s[65] + 4*s[66] - 6*s[67] - 2*s[68] - 
       10*s[69] + (3*s[70])/2 + 5*s[71] - (85*s[72])/6 + (73*s[73])/6 + 
       (323*s[74])/24 - (323*s[75])/24 + (29*s[76])/3 + (17*s[77])/4 - 
       (101*s[78])/6 - 238*s[79] + (823*s[80])/36 + 648*s[82] - 3*s[83] - 
       125*s[84] - 2*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v]*((19*s[2])/3 - (677*s[3])/24 + 
       (2933*s[4])/48 - (43007*s[5])/264 - (47599*s[6])/528 - 
       (14110447*s[7])/9504 + (301033*s[8])/14256 + (892213*s[9])/648 + 
       (474005*s[10])/648 + (13699813*s[11])/9504 + (715559*s[12])/594 + 
       (1950301*s[13])/3168 + (7025929*s[14])/9504 + (246617*s[15])/96 + 
       (2192441*s[16])/792 + (28155167*s[17])/9504 + (80443*s[18])/243 + 
       (1445891*s[19])/3888 + (156101015*s[20])/42768 + 
       (140005687*s[21])/85536 - (65615783*s[22])/85536 + (70679*s[23])/396 - 
       (36432299*s[24])/21384 + (572371421*s[25])/384912 - 
       (468756401*s[26])/384912 - (29*s[30])/6 + (2*s[31])/3 + (9*s[32])/2 + 
       (13*s[33])/3 + (13*s[34])/2 + (185*s[35])/6 + (124*s[36])/9 - 
       (241*s[37])/36 + (43*s[38])/6 - (295*s[39])/8 + (6943*s[40])/72 - 
       (1111*s[41])/8 + (4361*s[42])/72 + (43997*s[43])/792 - 
       (6529*s[44])/99 + (4427*s[45])/396 - (81799*s[46])/264 + 
       (2039*s[47])/1188 + (30973*s[48])/2376 + (7015*s[49])/297 + 
       (48529*s[50])/396 + (246377*s[51])/2376 + (271151*s[52])/2376 - 
       (11569*s[53])/198 + (36637*s[54])/66 - (467197*s[55])/792 - 
       (217312*s[56])/297 + (9956927*s[57])/7128 - (2183138*s[58])/2673 + 
       (10322803*s[59])/21384 + (1817830*s[60])/891 - 
       (54267263*s[61])/384912 + s[65] + 4*s[66] - 6*s[67] - 2*s[68] - 
       10*s[69] - (11*s[70])/2 - (5*s[71])/2 - (5*s[72])/3 + (17*s[73])/3 + 
       (49*s[74])/12 - (49*s[75])/12 - (5*s[76])/6 + 5*s[77] - (34*s[78])/3 + 
       (208*s[79])/3 - (361*s[80])/18 + 72*s[82] - 3*s[83] + 19*s[84] - 
       2*s[85]) + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w]^2*
      ((-7*s[2])/16 - (473*s[3])/32 - (36643*s[4])/192 - (117523*s[5])/1056 - 
       (651527*s[6])/2112 - (34137373*s[7])/12672 + (13453655*s[8])/57024 + 
       (1464149*s[9])/648 + (1680319*s[10])/2592 + (112902539*s[11])/38016 + 
       (7804195*s[12])/2376 + (75274409*s[13])/38016 + 
       (9494939*s[14])/38016 + (12261769*s[15])/3456 + 
       (85549867*s[16])/19008 + (128436809*s[17])/38016 + 
       (505655*s[18])/972 + (5456371*s[19])/15552 + (900022579*s[20])/
        171072 + (653547113*s[21])/342144 - (481529617*s[22])/342144 - 
       (68292263*s[23])/19008 - (482448323*s[24])/171072 + 
       (5892665473*s[25])/1539648 - (3226637503*s[26])/1539648 - 
       (3*s[30])/2 - (3*s[31])/4 + s[32]/4 - (49*s[33])/32 + (9*s[34])/4 + 
       (29*s[35])/8 + (59*s[36])/8 - (1459*s[37])/144 - (2605*s[38])/24 + 
       (10391*s[39])/24 - (1921*s[40])/4 + (9037*s[41])/24 - 
       (60395*s[42])/96 - (25673*s[43])/66 + (421567*s[44])/1056 - 
       (1277117*s[45])/3168 + (10409939*s[46])/3168 - (150515*s[47])/1056 - 
       (17069*s[48])/352 + (18940*s[49])/11 - (1319291*s[50])/528 - 
       (27935*s[51])/66 - (360781*s[52])/1056 + (16658935*s[53])/9504 - 
       (165815*s[54])/1584 + (11677315*s[55])/1056 + (3471481*s[56])/1188 - 
       (5496581*s[57])/1782 + (440043589*s[58])/85536 - 
       (225495491*s[59])/42768 - (508477423*s[60])/19008 + 
       (2156669303*s[61])/1539648 - s[67]/2 - s[68] + (3*s[71])/4 - 
       (5*s[72])/4 + (3*s[73])/4 + (31*s[74])/16 - (31*s[75])/16 + 
       (7*s[76])/4 + s[77]/8 - (13*s[78])/4 - (115*s[79])/3 + 
       (473*s[80])/72 + (61*s[82])/2 - (33*s[84])/2 - s[85]) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]^2*((169*s[2])/48 - (359*s[3])/32 - 
       (1613*s[4])/192 - (2305*s[5])/1056 - (3075*s[6])/704 - 
       (320867*s[7])/12672 + (399211*s[8])/19008 + (4907*s[9])/432 - 
       (26149*s[10])/864 + (268693*s[11])/12672 + (91057*s[12])/1584 + 
       (100175*s[13])/12672 - (317279*s[14])/12672 - (1343*s[15])/1152 + 
       (1181*s[16])/3168 - (98653*s[17])/1408 + (85711*s[18])/1296 - 
       (367789*s[19])/5184 + (3304775*s[20])/57024 + (4384591*s[21])/114048 - 
       (534023*s[22])/114048 - (624599*s[23])/1584 + (64961*s[24])/891 + 
       (8724241*s[25])/256608 - (10452331*s[26])/256608 + (7*s[31])/4 - 
       (7*s[32])/4 + (65*s[33])/32 - (7*s[34])/2 - (7*s[35])/8 - 
       (17*s[36])/6 + (3*s[37])/16 + (7*s[38])/12 + (89*s[39])/32 - 
       (739*s[40])/96 + (133*s[41])/96 - (67*s[42])/16 - (3769*s[43])/1056 - 
       (7495*s[44])/2112 - (57437*s[45])/1056 + (109951*s[46])/528 - 
       (57863*s[47])/6336 + (48463*s[48])/6336 - (283153*s[49])/6336 - 
       (57977*s[50])/528 - (40811*s[51])/6336 - (126895*s[52])/6336 + 
       (113053*s[53])/1056 - (4819*s[54])/44 + (5050723*s[55])/6336 + 
       (2190253*s[56])/6336 - (2071739*s[57])/9504 + (23059721*s[58])/57024 - 
       (19756235*s[59])/57024 - (50914079*s[60])/38016 + 
       (87102881*s[61])/513216 - s[65]/4 - s[66] + (3*s[67])/2 + 
       (7*s[69])/2 + (3*s[71])/8 + (7*s[72])/4 - (9*s[73])/4 - 
       (13*s[74])/16 + (13*s[75])/16 - (3*s[76])/4 - (11*s[77])/8 + 
       (15*s[78])/4 + s[79]/2 - (5*s[80])/24 - (11*s[82])/2 + (3*s[83])/4 - 
       3*s[84] - s[85]) + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((-257*s[2])/48 + (379*s[3])/96 + (12755*s[4])/192 - 
       (14291*s[5])/264 + (96721*s[6])/2112 - (387383*s[7])/12672 - 
       (2684477*s[8])/57024 + (210577*s[9])/2592 + (93527*s[10])/648 - 
       (1844705*s[11])/38016 - (2109181*s[12])/9504 - (6901991*s[13])/38016 + 
       (9594847*s[14])/38016 + (1176251*s[15])/3456 + (1908967*s[16])/9504 + 
       (20659921*s[17])/38016 - (71993*s[18])/3888 + (1513883*s[19])/15552 + 
       (63616337*s[20])/171072 + (86376793*s[21])/342144 - 
       (8321777*s[22])/342144 + (7337299*s[23])/9504 - 
       (16225277*s[24])/85536 - (339909817*s[25])/1539648 - 
       (27790997*s[26])/1539648 + (13*s[30])/12 - (23*s[31])/12 + 
       (5*s[32])/3 - (41*s[33])/96 + (19*s[34])/6 - (17*s[35])/24 + 
       (143*s[36])/36 - (505*s[37])/72 + (133*s[38])/24 - (4727*s[39])/96 + 
       (20165*s[40])/288 - (6511*s[41])/96 + (22393*s[42])/288 + 
       (89035*s[43])/3168 - (58457*s[44])/1584 + (23123*s[45])/792 - 
       (116365*s[46])/352 + (144997*s[47])/4752 + (31241*s[48])/9504 - 
       (265393*s[49])/4752 + (273263*s[50])/1584 + (790585*s[51])/9504 + 
       (842827*s[52])/9504 - (9121*s[53])/132 + (2263*s[54])/11 - 
       (577453*s[55])/1056 - (2207357*s[56])/4752 + (37220263*s[57])/28512 - 
       (35236867*s[58])/42768 + (49281479*s[59])/85536 + 
       (14137957*s[60])/7128 - (298021249*s[61])/1539648 + (5*s[65])/12 + 
       (5*s[66])/3 - (7*s[67])/3 - (5*s[68])/6 - (23*s[69])/6 - s[70]/3 - 
       (2*s[71])/3 - (7*s[72])/12 + (15*s[73])/4 + (3*s[74])/16 - 
       (3*s[75])/16 - (7*s[76])/12 + (7*s[77])/24 - (19*s[78])/12 + 
       26*s[79] - (301*s[80])/36 - (17*s[82])/2 - (5*s[83])/4 + 6*s[84] + 
       s[85]) + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((49*s[2])/48 - (455*s[3])/96 + (21853*s[4])/192 + (7567*s[5])/88 + 
       (382775*s[6])/2112 + (63999107*s[7])/38016 - (3056891*s[8])/19008 - 
       (620803*s[9])/432 - (293635*s[10])/864 - (23560963*s[11])/12672 - 
       (1672177*s[12])/792 - (47492083*s[13])/38016 - (1889383*s[14])/12672 - 
       (7198445*s[15])/3456 - (25722343*s[16])/9504 - 
       (72151151*s[17])/38016 - (1052789*s[18])/2592 - (433589*s[19])/5184 - 
       (188208557*s[20])/57024 - (5219255*s[21])/4224 + 
       (101648689*s[22])/114048 + (25469447*s[23])/9504 + 
       (45260863*s[24])/28512 - (405253991*s[25])/171072 + 
       (226653311*s[26])/171072 - s[30]/3 + (7*s[31])/12 - (2*s[32])/3 - 
       (43*s[33])/96 + s[34]/3 + (5*s[35])/24 - (179*s[36])/36 + 
       (571*s[37])/48 + (175*s[38])/2 - (32009*s[39])/96 + 
       (108523*s[40])/288 - (27287*s[41])/96 + (141167*s[42])/288 + 
       (903773*s[43])/3168 - (1843789*s[44])/6336 + (113791*s[45])/352 - 
       (1976429*s[46])/792 + (2613263*s[47])/19008 + (67313*s[48])/19008 - 
       (22832921*s[49])/19008 + (2947969*s[50])/1584 + 
       (6835141*s[51])/19008 + (5690515*s[52])/19008 - 
       (12352705*s[53])/9504 + (162115*s[54])/792 - (5791815*s[55])/704 - 
       (44582819*s[56])/19008 + (40308293*s[57])/14256 - 
       (700473349*s[58])/171072 + (694547731*s[59])/171072 + 
       (2275090457*s[60])/114048 - (1709164585*s[61])/1539648 + s[65]/6 + 
       (2*s[66])/3 - s[67]/3 + (7*s[68])/6 - (11*s[69])/6 + s[70]/6 - 
       (13*s[71])/24 - (5*s[72])/12 + (7*s[73])/12 - (53*s[74])/48 + 
       (53*s[75])/48 - (7*s[76])/4 + (17*s[77])/24 - (31*s[78])/12 + 
       (69*s[79])/2 - (173*s[80])/24 - (121*s[82])/2 - s[83]/2 + 
       (39*s[84])/2 + s[85]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^4*
      (s[2]/6 - (41*s[3])/48 - (39*s[4])/16 + (169*s[5])/264 + 
       (101*s[6])/88 + (157463*s[7])/38016 + (120799*s[8])/57024 - 
       (23755*s[9])/5184 - (41873*s[10])/5184 - (50947*s[11])/19008 + 
       (46705*s[12])/19008 + (16147*s[13])/6336 - (297757*s[14])/19008 - 
       (13957*s[15])/1152 - (59743*s[16])/4224 - (448499*s[17])/19008 + 
       (47041*s[18])/15552 - (11741*s[19])/1944 - (2016161*s[20])/85536 - 
       (627785*s[21])/85536 + (62791*s[22])/21384 - (636007*s[23])/12672 + 
       (6795739*s[24])/342144 + (5294485*s[25])/3079296 + 
       (3444893*s[26])/3079296 - s[30]/6 + s[34]/6 + (2*s[35])/3 + 
       (7*s[36])/18 - (107*s[37])/144 - (91*s[38])/48 + (91*s[39])/12 - 
       (233*s[40])/36 + (101*s[41])/24 - (893*s[42])/72 - (1985*s[43])/792 + 
       (23327*s[44])/12672 + (1783*s[45])/396 - (349*s[46])/132 - 
       (271285*s[47])/38016 + (398483*s[48])/38016 + (340723*s[49])/38016 + 
       (5281*s[50])/792 - (258677*s[51])/38016 - (279047*s[52])/38016 - 
       (30893*s[53])/6336 - (6461*s[54])/1056 - (736763*s[55])/12672 - 
       (458899*s[56])/38016 - (3717851*s[57])/28512 + 
       (10128385*s[58])/342144 - (9959833*s[59])/342144 + 
       (24012707*s[60])/228096 - (1586711*s[61])/192456 - s[68]/6 + s[69]/6 + 
       s[74]/12 - s[75]/12 + s[76]/3 - s[77]/6 - s[78]/3 + (2*s[79])/3 - 
       (7*s[80])/9 + (77*s[82])/8 + 2*s[85]) + HPL[{1}, 1 - v]^4*
      HPL[{1}, 1 - w]^3*((-13*s[3])/48 - (35*s[4])/48 + (1679*s[5])/528 + 
       (7127*s[6])/1056 + (511097*s[7])/12672 + (9059*s[8])/19008 - 
       (62183*s[9])/1728 - (29455*s[10])/1728 - (143731*s[11])/3168 - 
       (145793*s[12])/3168 - (89801*s[13])/3168 - (133577*s[14])/6336 - 
       (19939*s[15])/384 - (935393*s[16])/12672 - (66181*s[17])/1056 - 
       (9829*s[18])/1296 - (38033*s[19])/5184 - (5431289*s[20])/57024 - 
       (1095823*s[21])/28512 + (318427*s[22])/14256 - (2663*s[23])/12672 + 
       (6125351*s[24])/114048 - (52119415*s[25])/1026432 + 
       (33895585*s[26])/1026432 - s[32]/12 - (5*s[37])/6 + (7*s[38])/48 - 
       (27*s[39])/16 + (43*s[40])/16 - (61*s[41])/24 + (29*s[42])/48 + 
       (2197*s[43])/528 - (24287*s[44])/4224 + (4135*s[45])/528 - 
       (6121*s[46])/132 - (51383*s[47])/12672 + (152689*s[48])/12672 - 
       (312493*s[49])/12672 + (6345*s[50])/176 - (8357*s[51])/12672 - 
       (6889*s[52])/12672 - (140029*s[53])/6336 - (1435*s[54])/176 - 
       (223515*s[55])/1408 - (187021*s[56])/4224 - (42917*s[57])/3168 - 
       (2163241*s[58])/38016 + (2062669*s[59])/38016 + 
       (33081355*s[60])/76032 - (1351795*s[61])/57024 - s[68]/6 + s[69]/6 - 
       s[77]/6 + (95*s[82])/8 + 2*s[85]) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*((-89*s[3])/48 - (59*s[4])/48 + 
       (373*s[5])/352 + (5897*s[6])/1056 + (14617*s[7])/528 + 
       (1927*s[8])/2376 - (4963*s[9])/216 - (5293*s[10])/432 - 
       (200663*s[11])/6336 - (201049*s[12])/6336 - (119939*s[13])/6336 - 
       (35837*s[14])/1584 - (4151*s[15])/144 - (326729*s[16])/6336 - 
       (36145*s[17])/792 - (4439*s[18])/2592 - (20677*s[19])/2592 - 
       (3761807*s[20])/57024 - (1189457*s[21])/57024 + (212191*s[22])/14256 - 
       (170219*s[23])/6336 + (2564347*s[24])/57024 - (8994877*s[25])/256608 + 
       (9675095*s[26])/513216 - s[32]/12 - (35*s[37])/144 - (41*s[38])/48 + 
       (85*s[39])/16 - (69*s[40])/16 - (2*s[41])/3 - (51*s[42])/8 - 
       (1411*s[43])/528 + (827*s[44])/704 + (909*s[45])/176 - 
       (3875*s[46])/176 - (5471*s[47])/2112 + (17695*s[48])/2112 + 
       (20857*s[49])/2112 + (1715*s[50])/88 + (21479*s[51])/6336 + 
       (2821*s[52])/2112 - (4003*s[53])/528 + (8345*s[54])/528 - 
       (511219*s[55])/6336 - (27729*s[56])/704 - (109717*s[57])/1584 - 
       (296347*s[58])/19008 - (133439*s[59])/19008 + (2912347*s[60])/12672 - 
       (3913463*s[61])/171072 - s[68]/6 + s[69]/6 - s[77]/6 + (25*s[82])/2 + 
       2*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]^2*
      (s[2]/6 - (125*s[3])/48 + (41*s[4])/16 - (13*s[5])/11 + 
       (16003*s[6])/1056 + (260585*s[7])/9504 - (17855*s[8])/14256 - 
       (26203*s[9])/1296 - (22663*s[10])/2592 - (319217*s[11])/9504 - 
       (83527*s[12])/2376 - (109873*s[13])/3168 - (192809*s[14])/9504 - 
       (355*s[15])/18 - (33491*s[16])/704 - (697679*s[17])/19008 + 
       (27181*s[18])/15552 - (104515*s[19])/15552 - (493465*s[20])/10692 - 
       (2873665*s[21])/171072 + (301573*s[22])/21384 - (170237*s[23])/6336 + 
       (3702475*s[24])/85536 - (8210657*s[25])/192456 + 
       (37089673*s[26])/1539648 - s[30]/6 + s[34]/6 + (2*s[35])/3 + 
       (7*s[36])/18 - (21*s[37])/16 - (103*s[38])/48 + (123*s[39])/32 - 
       (787*s[40])/288 - (97*s[41])/32 - (623*s[42])/288 + 
       (6895*s[43])/3168 - (7171*s[44])/3168 + (8627*s[45])/3168 - 
       (1087*s[46])/33 - (38425*s[47])/9504 + (133571*s[48])/9504 - 
       (91849*s[49])/19008 + (34703*s[50])/1584 - (8299*s[51])/19008 - 
       (1195*s[52])/4752 - (6895*s[53])/792 + (2513*s[54])/352 - 
       (73655*s[55])/792 - (1075607*s[56])/19008 - (284353*s[57])/14256 - 
       (7547899*s[58])/171072 + (4431055*s[59])/171072 + 
       (33286471*s[60])/114048 - (577366*s[61])/24057 - s[68]/6 + s[69]/6 + 
       s[74]/12 - s[75]/12 + s[76]/3 - s[77]/6 - s[78]/3 + (2*s[79])/3 - 
       (7*s[80])/9 + (59*s[82])/4 + 2*s[85]) + HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*((-175*s[3])/72 - (55*s[4])/36 + 
       (191*s[5])/792 + (7037*s[6])/1056 + (37363*s[7])/1584 + 
       (11251*s[8])/9504 - (15793*s[9])/864 - (5203*s[10])/432 - 
       (135913*s[11])/6336 - (9551*s[12])/704 - (45971*s[13])/3168 - 
       (26869*s[14])/792 - (731*s[15])/24 - (8755*s[16])/198 - 
       (381427*s[17])/6336 + (35071*s[18])/2592 - (55759*s[19])/2592 - 
       (1508065*s[20])/28512 - (254857*s[21])/28512 + (308885*s[22])/28512 - 
       (702269*s[23])/6336 + (3478603*s[24])/57024 - 
       (14145521*s[25])/513216 + (6019835*s[26])/513216 - (5*s[32])/36 + 
       (3*s[37])/2 - (199*s[38])/72 + (1331*s[39])/72 - (1211*s[40])/72 + 
       (31*s[41])/8 - (3497*s[42])/144 - (6485*s[43])/792 + 
       (6185*s[44])/792 + (9667*s[45])/792 - (5077*s[46])/264 - 
       (7219*s[47])/1188 + (39797*s[48])/4752 + (104969*s[49])/2376 + 
       (5749*s[50])/264 + (599*s[51])/594 - (2243*s[52])/1188 - 
       (65581*s[53])/4752 + (15803*s[54])/396 - (854177*s[55])/4752 - 
       (98323*s[56])/1584 - (1565917*s[57])/4752 + (319409*s[58])/7128 - 
       (944821*s[59])/14256 + (8361479*s[60])/28512 - (1365875*s[61])/42768 - 
       (5*s[68])/18 + (5*s[69])/18 - (5*s[77])/18 + (109*s[82])/12 + 
       (10*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 1}, 1 - w]*((5*s[2])/18 - (119*s[3])/72 - (65*s[4])/16 - 
       (7307*s[5])/1584 + (13037*s[6])/3168 + (258491*s[7])/3564 - 
       (53621*s[8])/85536 - (441823*s[9])/7776 - (77273*s[10])/1944 - 
       (4185671*s[11])/57024 - (4126915*s[12])/57024 - (270859*s[13])/9504 - 
       (1803295*s[14])/28512 - (49339*s[15])/432 - (640627*s[16])/4752 - 
       (7737319*s[17])/57024 + (126511*s[18])/23328 - (856957*s[19])/23328 - 
       (26614205*s[20])/128304 - (15080641*s[21])/256608 + 
       (4714507*s[22])/128304 - (2769029*s[23])/19008 + 
       (70666021*s[24])/513216 - (372940613*s[25])/4618944 + 
       (248380721*s[26])/4618944 - (5*s[30])/18 + (5*s[34])/18 + 
       (10*s[35])/9 + (35*s[36])/54 - (241*s[37])/108 + (25*s[38])/12 + 
       (499*s[39])/24 - (4091*s[40])/216 + (275*s[41])/24 - 
       (17381*s[42])/432 + (20477*s[43])/2376 - (787*s[44])/4752 + 
       (7802*s[45])/297 - (18511*s[46])/264 - (88393*s[47])/3564 + 
       (723581*s[48])/14256 - (54965*s[49])/3564 + (75235*s[50])/1188 - 
       (86821*s[51])/7128 - (278381*s[52])/14256 - (9935*s[53])/198 + 
       (2405*s[54])/264 - (2217811*s[55])/4752 - (661703*s[56])/7128 - 
       (28859993*s[57])/42768 + (2458189*s[58])/32076 - 
       (6831391*s[59])/128304 + (89244293*s[60])/85536 - 
       (44629265*s[61])/1154736 - (5*s[68])/18 + (5*s[69])/18 + 
       (5*s[74])/36 - (5*s[75])/36 + (5*s[76])/9 - (5*s[77])/18 - 
       (5*s[78])/9 + (10*s[79])/9 - (35*s[80])/27 + (121*s[82])/12 + 
       (10*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 1}, 1 - u]*((5*s[2])/18 - (199*s[3])/36 + (63*s[4])/16 - 
       (4067*s[5])/1584 + (98657*s[6])/3168 + (115157*s[7])/3564 - 
       (69227*s[8])/85536 - (159241*s[9])/7776 - (16873*s[10])/3888 - 
       (2562917*s[11])/57024 - (2770921*s[12])/57024 - (512737*s[13])/9504 - 
       (1079101*s[14])/28512 + s[15]/216 - (501461*s[16])/9504 - 
       (1857079*s[17])/57024 - (8551*s[18])/11664 + (42739*s[19])/11664 - 
       (5592761*s[20])/128304 - (2409119*s[21])/128304 + 
       (533779*s[22])/32076 - (416153*s[23])/19008 + 
       (22464379*s[24])/513216 - (265721939*s[25])/4618944 + 
       (156085649*s[26])/4618944 - (5*s[30])/18 + (5*s[34])/18 + 
       (10*s[35])/9 + (35*s[36])/54 - (323*s[37])/216 - (103*s[38])/24 + 
       (247*s[39])/48 - (1423*s[40])/432 - (125*s[41])/16 - (73*s[42])/216 + 
       (16015*s[43])/4752 - (2809*s[44])/1188 - (5119*s[45])/4752 - 
       (10375*s[46])/264 - (18943*s[47])/14256 + (81749*s[48])/3564 + 
       (96707*s[49])/28512 + (4294*s[50])/297 + (178577*s[51])/28512 + 
       (66697*s[52])/14256 + (298*s[53])/99 + (18631*s[54])/528 - 
       (103255*s[55])/4752 - (2687231*s[56])/28512 + (3701035*s[57])/42768 - 
       (21531871*s[58])/256608 + (7190965*s[59])/256608 + 
       (45604657*s[60])/171072 - (43709051*s[61])/1154736 - (5*s[68])/18 + 
       (5*s[69])/18 + (5*s[74])/36 - (5*s[75])/36 + (5*s[76])/9 - 
       (5*s[77])/18 - (5*s[78])/9 + (10*s[79])/9 - (35*s[80])/27 + 
       (199*s[82])/12 + (10*s[85])/3) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*(-s[3]/18 - (143*s[4])/72 + (541*s[5])/99 + 
       (6167*s[6])/352 + (147821*s[7])/792 - (53611*s[8])/9504 - 
       (136631*s[9])/864 - (16069*s[10])/216 - (412837*s[11])/2112 - 
       (1264789*s[12])/6336 - (54389*s[13])/528 - (157939*s[14])/1584 - 
       (9521*s[15])/36 - (1043363*s[16])/3168 - (624337*s[17])/2112 - 
       (83941*s[18])/2592 - (98681*s[19])/2592 - (6494869*s[20])/14256 - 
       (617737*s[21])/3564 + (2743387*s[22])/28512 - (38275*s[23])/6336 + 
       (13770257*s[24])/57024 - (111638899*s[25])/513216 + 
       (78303763*s[26])/513216 - (5*s[32])/36 + (11*s[37])/6 + (55*s[38])/9 + 
       (313*s[39])/144 - (73*s[40])/144 - (107*s[41])/48 - (919*s[42])/72 + 
       (34025*s[43])/1584 - (1406*s[44])/99 + (59045*s[45])/1584 - 
       (15693*s[46])/88 - (89131*s[47])/4752 + (61463*s[48])/1188 - 
       (384467*s[49])/4752 + (9319*s[50])/66 - (2515*s[51])/2376 - 
       (25121*s[52])/4752 - (481153*s[53])/4752 + (6517*s[54])/792 - 
       (3739055*s[55])/4752 - (300895*s[56])/1584 - (2189317*s[57])/4752 - 
       (445601*s[58])/3564 + (532025*s[59])/3564 + (26555029*s[60])/14256 - 
       (7363985*s[61])/85536 - (5*s[68])/18 + (5*s[69])/18 - (5*s[77])/18 + 
       (211*s[82])/12 + (10*s[85])/3) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*((31*s[2])/18 - (829*s[3])/18 - 
       (18625*s[4])/72 - (363937*s[5])/3168 - (1169765*s[6])/3168 - 
       (22919309*s[7])/7128 + (3036707*s[8])/9504 + (2271461*s[9])/864 + 
       (598139*s[10])/864 + (17149867*s[11])/4752 + (13048333*s[12])/3168 + 
       (71291599*s[13])/28512 + (1077785*s[14])/9504 + 
       (10496531*s[15])/2592 + (150455485*s[16])/28512 + 
       (53067535*s[17])/14256 + (605927*s[18])/972 + (3381095*s[19])/7776 + 
       (259170319*s[20])/42768 + (179845657*s[21])/85536 - 
       (47089385*s[22])/28512 - (67077205*s[23])/14256 - 
       (48029315*s[24])/14256 + (7336669577*s[25])/1539648 - 
       (3827107859*s[26])/1539648 - (8*s[30])/9 + (25*s[31])/18 - 
       (47*s[32])/18 + (653*s[33])/144 - (115*s[34])/36 + (55*s[35])/18 + 
       (341*s[36])/108 - (1105*s[37])/48 - (1273*s[38])/8 + (9995*s[39])/18 - 
       (66383*s[40])/108 + (64961*s[41])/144 - (677537*s[42])/864 - 
       (142306*s[43])/297 + (9220795*s[44])/19008 - (1549795*s[45])/3168 + 
       (36961955*s[46])/9504 - (12845945*s[47])/57024 - 
       (1316537*s[48])/57024 + (118343825*s[49])/57024 - 
       (1701377*s[50])/594 - (31994047*s[51])/57024 - 
       (26591227*s[52])/57024 + (56948299*s[53])/28512 - 
       (334523*s[54])/1188 + (240062849*s[55])/19008 + 
       (199039283*s[56])/57024 - (189911201*s[57])/42768 + 
       (3254118199*s[58])/513216 - (3262834519*s[59])/513216 - 
       (10742967137*s[60])/342144 + (1884656515*s[61])/1154736 - 
       (5*s[65])/36 - (5*s[66])/9 + (7*s[67])/9 - (7*s[68])/18 + 
       (22*s[69])/9 - (31*s[70])/18 - (11*s[71])/72 + (5*s[72])/9 - 
       (16*s[73])/9 + (11*s[74])/9 - (11*s[75])/9 + 3*s[76] - (13*s[77])/9 + 
       (53*s[78])/18 - (241*s[79])/6 + (1033*s[80])/72 + (101*s[82])/2 + 
       (5*s[83])/12 - (37*s[84])/2 + (10*s[85])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((25*s[2])/18 - (473*s[3])/12 - (12413*s[4])/48 - (84517*s[5])/3168 - 
       (978203*s[6])/3168 - (130075063*s[7])/57024 + (11469683*s[8])/42768 + 
       (7035427*s[9])/3888 + (179065*s[10])/486 + (76594373*s[11])/28512 + 
       (23081827*s[12])/7128 + (19374857*s[13])/9504 - 
       (3178127*s[14])/14256 + (4412735*s[15])/1728 + 
       (68805977*s[16])/19008 + (7555385*s[17])/3564 + 
       (9831169*s[18])/23328 + (6356729*s[19])/23328 + 
       (1012791077*s[20])/256608 + (159478699*s[21])/128304 - 
       (301713283*s[22])/256608 - (77059469*s[23])/19008 - 
       (1198873139*s[24])/513216 + (8558197193*s[25])/2309472 - 
       (1020956711*s[26])/577368 - (7*s[30])/36 + (5*s[31])/9 - 
       (113*s[32])/36 + (47*s[33])/72 - (29*s[34])/9 + (265*s[35])/36 - 
       (7*s[36])/27 - (8023*s[37])/432 - (9349*s[38])/72 + (4096*s[39])/9 - 
       (55049*s[40])/108 + (18691*s[41])/48 - (548147*s[42])/864 - 
       (221777*s[43])/594 + (3693617*s[44])/9504 - (3311351*s[45])/9504 + 
       (28119661*s[46])/9504 - (5329057*s[47])/28512 - (775717*s[48])/28512 + 
       (22617629*s[49])/14256 - (5003123*s[50])/2376 - 
       (6879889*s[51])/14256 - (11616881*s[52])/28512 + 
       (9829613*s[53])/7128 - (1487011*s[54])/4752 + (82980331*s[55])/9504 + 
       (800191*s[56])/297 - (3842629*s[57])/792 + (28059935*s[58])/5346 - 
       (53333773*s[59])/10692 - (4008496705*s[60])/171072 + 
       (470430395*s[61])/384912 - (2*s[65])/9 - (8*s[66])/9 + (13*s[67])/9 - 
       (5*s[68])/9 + (53*s[69])/18 - (17*s[70])/9 + (19*s[71])/72 + s[72]/9 - 
       (2*s[73])/3 + (7*s[74])/12 - (7*s[75])/12 + (101*s[76])/18 + 
       (5*s[77])/18 + (31*s[78])/9 - (809*s[79])/18 + (2693*s[80])/216 + 
       (37*s[82])/2 + (2*s[83])/3 - 14*s[84] + (10*s[85])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*
      ((-89*s[2])/96 - (7195*s[3])/576 - (120259*s[4])/1152 - 
       (7117*s[5])/288 - (51437*s[6])/384 - (7655803*s[7])/6912 + 
       (1203053*s[8])/10368 + (4671313*s[9])/5184 + (307535*s[10])/1296 + 
       (8688935*s[11])/6912 + (2489521*s[12])/1728 + (6270457*s[13])/6912 - 
       (193333*s[14])/6912 + (9595699*s[15])/6912 + (6258173*s[16])/3456 + 
       (2855399*s[17])/2304 + (1449115*s[18])/7776 + (5400047*s[19])/31104 + 
       (62574403*s[20])/31104 + (41853569*s[21])/62208 - 
       (35567737*s[22])/62208 - (5491531*s[23])/3456 - 
       (36623999*s[24])/31104 + (237000917*s[25])/139968 - 
       (119083619*s[26])/139968 - (7*s[30])/6 - s[31]/8 - (53*s[32])/72 + 
       (73*s[33])/192 + (3*s[34])/4 + (57*s[35])/16 + (133*s[36])/36 - 
       (1877*s[37])/288 - (1043*s[38])/18 + (118187*s[39])/576 - 
       (42617*s[40])/192 + (32587*s[41])/192 - (55861*s[42])/192 - 
       (1186237*s[43])/6336 + (1148107*s[44])/6336 - (353261*s[45])/2112 + 
       (754169*s[46])/528 - (137023*s[47])/2112 - (11585*s[48])/396 + 
       (5154619*s[49])/6336 - (3403177*s[50])/3168 - (619045*s[51])/3168 - 
       (512833*s[52])/3168 + (3473131*s[53])/4752 - (51511*s[54])/3168 + 
       (87242555*s[55])/19008 + (22651025*s[56])/19008 - 
       (44719357*s[57])/28512 + (97859731*s[58])/42768 - 
       (397925755*s[59])/171072 - (110504761*s[60])/9504 + 
       (1757730761*s[61])/3079296 - s[65]/12 - s[66]/3 + (5*s[67])/6 - 
       (5*s[68])/9 + (20*s[69])/9 + s[70]/6 + (13*s[71])/48 - s[72]/24 - 
       (61*s[73])/24 + (23*s[74])/32 - (23*s[75])/32 + (61*s[76])/24 - 
       (275*s[77])/144 - (37*s[78])/24 - (133*s[79])/12 - (197*s[80])/144 + 
       (425*s[82])/12 + s[83]/4 - (29*s[84])/4 + (11*s[85])/3) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      ((-77*s[2])/288 - (5273*s[3])/576 - (15175*s[4])/384 - 
       (5123*s[5])/792 - (229223*s[6])/12672 - (75578759*s[7])/228096 + 
       (14644961*s[8])/342144 + (2034577*s[9])/7776 + (881521*s[10])/15552 + 
       (87434483*s[11])/228096 + (13051259*s[12])/28512 + 
       (20801899*s[13])/76032 - (19569445*s[14])/228096 + 
       (2931383*s[15])/6912 + (764333*s[16])/1408 + (78999889*s[17])/228096 + 
       (2173375*s[18])/46656 + (6645343*s[19])/93312 + 
       (573872155*s[20])/1026432 + (332012525*s[21])/2052864 - 
       (348484801*s[22])/2052864 - (24446569*s[23])/38016 - 
       (363742367*s[24])/1026432 + (2502817319*s[25])/4618944 - 
       (137089069*s[26])/577368 - (73*s[30])/72 - (3*s[31])/8 - s[32]/8 - 
       (65*s[33])/192 + (2*s[34])/9 + (239*s[35])/144 + (829*s[36])/216 - 
       (377*s[37])/108 - (359*s[38])/16 + (13555*s[39])/192 - 
       (130715*s[40])/1728 + (9911*s[41])/192 - (175741*s[42])/1728 - 
       (927877*s[43])/19008 + (2053331*s[44])/38016 - (435709*s[45])/9504 + 
       (821581*s[46])/2112 - (4212625*s[47])/114048 + 
       (3222605*s[48])/114048 + (26487799*s[49])/114048 - 
       (2884337*s[50])/9504 - (8558315*s[51])/114048 - 
       (6925505*s[52])/114048 + (441893*s[53])/2112 + (4123*s[54])/1056 + 
       (47401847*s[55])/38016 + (34094009*s[56])/114048 - 
       (114513139*s[57])/171072 + (709522813*s[58])/1026432 - 
       (729019495*s[59])/1026432 - (2127806785*s[60])/684288 + 
       (1415515729*s[61])/9237888 + s[65]/24 + s[66]/6 - s[67]/6 - 
       (47*s[68])/36 + (35*s[69])/36 - s[70]/12 - s[71]/24 - (7*s[72])/24 + 
       (5*s[73])/24 + (77*s[74])/288 - (77*s[75])/288 + (89*s[76])/72 - 
       (149*s[77])/144 - (107*s[78])/72 - (22*s[79])/9 - (77*s[80])/54 + 
       (173*s[82])/12 - s[83]/8 - 2*s[84] + (11*s[85])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*
      ((-665*s[2])/144 - (1133*s[3])/288 - (22793*s[4])/192 - 
       (690185*s[5])/6336 - (688873*s[6])/3168 - (245247719*s[7])/114048 + 
       (14927389*s[8])/85536 + (28540393*s[9])/15552 + 
       (8488883*s[10])/15552 + (267564395*s[11])/114048 + 
       (146024669*s[12])/57024 + (57545365*s[13])/38016 + 
       (29769029*s[14])/114048 + (9930509*s[15])/3456 + 
       (3794921*s[16])/1056 + (316166749*s[17])/114048 + 
       (5081681*s[18])/11664 + (192733*s[19])/729 + (2202742171*s[20])/
        513216 + (1638020027*s[21])/1026432 - (1163672143*s[22])/1026432 - 
       (51721999*s[23])/19008 - (1149685265*s[24])/513216 + 
       (27404048021*s[25])/9237888 - (15363238307*s[26])/9237888 - 
       (29*s[30])/72 - (11*s[31])/4 + (47*s[32])/48 - (287*s[33])/96 + 
       (46*s[34])/9 + (143*s[35])/72 + (955*s[36])/108 - (13115*s[37])/864 - 
       (1387*s[38])/16 + (16439*s[39])/48 - (160987*s[40])/432 + 
       (26911*s[41])/96 - (860765*s[42])/1728 - (120907*s[43])/432 + 
       (1006955*s[44])/3456 - (509285*s[45])/1728 + (462139*s[46])/192 - 
       (1410565*s[47])/10368 + (236675*s[48])/10368 + 
       (13057081*s[49])/10368 - (791797*s[50])/432 - (3516695*s[51])/10368 - 
       (2864003*s[52])/10368 + (744679*s[53])/576 - (607*s[54])/6 + 
       (27855869*s[55])/3456 + (21726803*s[56])/10368 - 
       (20245073*s[57])/7776 + (360370495*s[58])/93312 - 
       (369595567*s[59])/93312 - (1203626809*s[60])/62208 + 
       (105927413*s[61])/104976 + s[65]/12 + s[66]/3 - (2*s[67])/3 - 
       (95*s[68])/72 - (19*s[69])/72 + (3*s[70])/2 + (11*s[71])/48 - 
       (13*s[72])/12 + (11*s[73])/12 + (281*s[74])/144 - (281*s[75])/144 + 
       (149*s[76])/36 - (13*s[77])/9 - (155*s[78])/36 - (869*s[79])/36 + 
       (217*s[80])/432 + (451*s[82])/12 - s[83]/4 - 12*s[84] + 
       (23*s[85])/6) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      ((-47*s[2])/16 - (145*s[3])/72 - (4127*s[4])/72 - (312671*s[5])/6336 - 
       (229909*s[6])/2112 - (39092989*s[7])/38016 + (2564047*s[8])/28512 + 
       (2276033*s[9])/2592 + (167509*s[10])/648 + (21117511*s[11])/19008 + 
       (11496889*s[12])/9504 + (13626947*s[13])/19008 + 
       (1261607*s[14])/9504 + (4788407*s[15])/3456 + (64970809*s[16])/38016 + 
       (1050017*s[17])/792 + (3273923*s[18])/15552 + (1791517*s[19])/15552 + 
       (351789577*s[20])/171072 + (16191125*s[21])/21384 - 
       (92425739*s[22])/171072 - (49252145*s[23])/38016 - 
       (362462785*s[24])/342144 + (2171342365*s[25])/1539648 - 
       (304852693*s[26])/384912 - (3*s[30])/8 - (3*s[31])/2 - (5*s[32])/36 - 
       (49*s[33])/24 + (31*s[34])/12 - (17*s[35])/24 + (31*s[36])/18 - 
       (2459*s[37])/288 - (4835*s[38])/144 + (10787*s[39])/72 - 
       (1955*s[40])/12 + (11375*s[41])/96 - (42499*s[42])/192 - 
       (92683*s[43])/792 + (194345*s[44])/1584 - (767671*s[45])/6336 + 
       (6503701*s[46])/6336 - (208963*s[47])/3168 + (32015*s[48])/1056 + 
       (3209083*s[49])/6336 - (604037*s[50])/792 - (103801*s[51])/704 - 
       (191243*s[52])/1584 + (5232809*s[53])/9504 - (29477*s[54])/352 + 
       (32541305*s[55])/9504 + (17645273*s[56])/19008 - 
       (17628527*s[57])/14256 + (288540151*s[58])/171072 - 
       (294125371*s[59])/171072 - (16962287*s[60])/2112 + 
       (331954481*s[61])/769824 - s[65]/24 - s[66]/6 + s[67]/3 - 
       (59*s[68])/72 + (89*s[69])/72 + (3*s[70])/2 - s[71]/48 - 
       (5*s[72])/12 - (5*s[73])/4 + (3*s[74])/4 - (3*s[75])/4 + 
       (11*s[76])/6 - (73*s[77])/36 - (23*s[78])/12 - (65*s[79])/4 + 
       (215*s[80])/48 + (253*s[82])/12 + s[83]/8 - (21*s[84])/4 + 
       (23*s[85])/6) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*(-s[2]/2 + 10*s[3] + (1975*s[4])/36 - 
       (7255*s[5])/792 + (3931*s[6])/132 + (161245*s[7])/396 - 
       (194197*s[8])/3564 - (25250*s[9])/81 - (54059*s[10])/648 - 
       (2508959*s[11])/4752 - (3151339*s[12])/4752 - (1018177*s[13])/2376 + 
       (371903*s[14])/2376 - (89329*s[15])/216 - (798521*s[16])/1188 - 
       (1561973*s[17])/4752 - (3694*s[18])/243 - (293653*s[19])/1944 - 
       (6530213*s[20])/10692 - (1142897*s[21])/10692 + 
       (2273185*s[22])/10692 + (3015871*s[23])/4752 + 
       (23822875*s[24])/42768 - (148946767*s[25])/192456 + 
       (52733275*s[26])/192456 - s[32]/2 - (9*s[37])/2 + (1757*s[38])/36 - 
       (3169*s[39])/24 + (3553*s[40])/24 - (8143*s[41])/72 + 
       (12509*s[42])/72 + (101693*s[43])/792 - (219173*s[44])/1584 + 
       (10319*s[45])/264 - (224425*s[46])/396 + (108995*s[47])/4752 + 
       (387317*s[48])/4752 - (2763617*s[49])/4752 + (60767*s[50])/132 + 
       (205603*s[51])/1584 + (337111*s[52])/4752 - (280279*s[53])/1188 - 
       (17015*s[54])/132 - (2197231*s[55])/1584 - (432353*s[56])/1584 + 
       (1497407*s[57])/1188 - (14355017*s[58])/14256 + 
       (15055169*s[59])/14256 + (143035121*s[60])/28512 - 
       (2935745*s[61])/21384 - 2*s[68] + 2*s[69] - 2*s[77] - 48*s[82] + 
       4*s[85]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((-5*s[2])/2 - (26*s[3])/3 + (261*s[4])/4 - (43973*s[5])/396 - 
       (62131*s[6])/1584 - (271213*s[7])/396 - (11299*s[8])/14256 + 
       (823273*s[9])/1296 + (133493*s[10])/324 + (5006081*s[11])/9504 + 
       (2296663*s[12])/9504 - s[13]/2376 + (777187*s[14])/1188 + 
       (84419*s[15])/54 + (6933547*s[16])/4752 + (18392009*s[17])/9504 + 
       (550937*s[18])/3888 + (694255*s[19])/3888 + (43358921*s[20])/21384 + 
       (9905275*s[21])/10692 - (14468273*s[22])/42768 + 
       (4120769*s[23])/9504 - (78039427*s[24])/85536 + 
       (307965125*s[25])/769824 - (406333865*s[26])/769824 + s[30] + 
       (3*s[33])/2 - s[34] - (31*s[36])/6 - (193*s[37])/18 + (313*s[38])/6 - 
       (7903*s[39])/72 + (9139*s[40])/72 - (2263*s[41])/18 + 
       (4295*s[42])/36 + (47981*s[43])/792 - (3143*s[44])/33 - 
       (4637*s[45])/99 - (13333*s[46])/264 + (90331*s[47])/2376 + 
       (54851*s[48])/1188 - (159931*s[49])/594 - (8509*s[50])/198 + 
       (38843*s[51])/264 + (336131*s[52])/2376 + (147007*s[53])/594 - 
       (117*s[54])/44 + (3659167*s[55])/2376 + (106783*s[56])/792 + 
       (1144207*s[57])/396 - (6091763*s[58])/7128 + (3184073*s[59])/7128 - 
       (131489*s[60])/14256 + (3171925*s[61])/32076 - s[68] + s[69] - s[70] - 
       (5*s[71])/2 - s[74]/2 + s[75]/2 + 2*s[76] - s[77] + 16*s[79] + 
       (38*s[80])/3 - 10*s[82] + 4*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      Omega2[u, v, w]*(s[2]/3 + (119*s[3])/12 + (95*s[4])/8 + 
       (7235*s[5])/132 + (617*s[6])/11 + (3074741*s[7])/4752 - 
       (69365*s[8])/1782 - (361975*s[9])/648 - (38807*s[10])/162 - 
       (754739*s[11])/1188 - (2756557*s[12])/4752 - (514009*s[13])/1584 - 
       (976853*s[14])/4752 - (52691*s[15])/48 - (155983*s[16])/132 - 
       (2826965*s[17])/2376 - (190649*s[18])/1944 - (154163*s[19])/972 - 
       (30443065*s[20])/21384 - (24156239*s[21])/42768 + 
       (13977229*s[22])/42768 + (580361*s[23])/1584 + 
       (33374503*s[24])/42768 - (291267989*s[25])/384912 + 
       (187824797*s[26])/384912 + (2*s[30])/3 + s[34]/3 - (5*s[35])/3 - 
       (14*s[36])/9 + (49*s[37])/18 + 10*s[38] - (491*s[39])/12 + 
       (1565*s[40])/36 - (65*s[41])/3 + (2233*s[42])/36 + (28183*s[43])/396 - 
       (4561*s[44])/99 + (11738*s[45])/99 - (29817*s[46])/44 - 
       (679*s[47])/297 + (26621*s[48])/1188 - (364697*s[49])/1188 + 
       (112949*s[50])/198 + (7360*s[51])/297 + (4957*s[52])/1188 - 
       (96131*s[53])/198 - (1203*s[54])/22 - (609313*s[55])/198 - 
       (341603*s[56])/594 - (2935523*s[57])/3564 - (1755317*s[58])/2673 + 
       (2419454*s[59])/2673 + (21760225*s[60])/3564 - 
       (15042571*s[61])/48114 + (2*s[68])/3 - (2*s[69])/3 + s[74]/6 - 
       s[75]/6 - (4*s[76])/3 + (2*s[77])/3 + (4*s[78])/3 - (8*s[79])/3 + 
       (19*s[80])/9 - 2*s[82] + 4*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      M1[w, v, u]*(s[2]/3 - (13*s[3])/12 - (39*s[4])/8 - (323*s[5])/132 - 
       (1387*s[6])/264 - (121423*s[7])/4752 + (38377*s[8])/7128 + 
       (3185*s[9])/162 - (2707*s[10])/324 + (147865*s[11])/4752 + 
       (103315*s[12])/2376 + (35239*s[13])/1584 - (34805*s[14])/4752 + 
       (3107*s[15])/144 + (25111*s[16])/792 + (3023*s[17])/4752 + 
       (20249*s[18])/972 - (37057*s[19])/1944 + (932879*s[20])/21384 + 
       (1179193*s[21])/42768 - (511061*s[22])/42768 - (57119*s[23])/396 + 
       (20875*s[24])/2673 + (1865609*s[25])/48114 - (3001579*s[26])/96228 - 
       s[30]/3 + s[34]/3 + (7*s[35])/3 - (2*s[36])/9 + (5*s[37])/9 - 
       4*s[38] + (67*s[39])/4 - (523*s[40])/36 + (47*s[41])/4 - 
       (911*s[42])/36 - (2129*s[43])/396 + (4879*s[44])/792 + 
       (703*s[45])/198 + (1241*s[46])/44 - (33683*s[47])/2376 + 
       (47563*s[48])/2376 + (51329*s[49])/2376 - (608*s[50])/99 - 
       (35677*s[51])/2376 - (41125*s[52])/2376 + (613*s[53])/132 - 
       (307*s[54])/11 + (7009*s[55])/792 + (70891*s[56])/2376 - 
       (483745*s[57])/1782 + (2427371*s[58])/21384 - (2233313*s[59])/21384 - 
       (730835*s[60])/14256 + (816287*s[61])/192456 - s[68]/3 + s[69]/3 + 
       s[74]/6 - s[75]/6 + (2*s[76])/3 - s[77]/3 - (2*s[78])/3 + 
       (4*s[79])/3 - (14*s[80])/9 + 10*s[82] + 4*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[u, v, w]*((-7*s[3])/6 - s[4]/3 - 
       (127*s[5])/264 + (213*s[6])/44 + (15997*s[7])/264 - (1255*s[8])/396 - 
       (488*s[9])/9 - (2045*s[10])/72 - (37969*s[11])/528 - 
       (14089*s[12])/176 - (4309*s[13])/88 - (1037*s[14])/132 - 
       (196*s[15])/3 - (27803*s[16])/264 - (39041*s[17])/528 - 
       (925*s[18])/108 - (3907*s[19])/216 - (289705*s[20])/2376 - 
       (39005*s[21])/1188 + (83561*s[22])/2376 - (1129*s[23])/528 + 
       (385843*s[24])/4752 - (1939033*s[25])/21384 + (207835*s[26])/5346 - 
       s[32]/6 - s[37] + (5*s[38])/6 - (205*s[39])/24 + (253*s[40])/24 - 
       (61*s[41])/8 + (329*s[42])/24 + (2911*s[43])/264 - (6563*s[44])/528 + 
       (2899*s[45])/264 - (3907*s[46])/44 - (3055*s[47])/1584 + 
       (31463*s[48])/1584 - (90671*s[49])/1584 + (898*s[50])/11 + 
       (18679*s[51])/1584 + (4465*s[52])/1584 - (17851*s[53])/396 - 
       (1009*s[54])/33 - (399395*s[55])/1584 - (26143*s[56])/528 + 
       (23813*s[57])/396 - (566963*s[58])/4752 + (512627*s[59])/4752 + 
       (7614119*s[60])/9504 - (72539*s[61])/1782 - s[68]/3 + s[69]/3 - 
       s[77]/3 + 19*s[82] + 4*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*
      HPL[{0, 1}, 1 - u]*(s[2]/3 + (55*s[3])/24 - (111*s[4])/8 + 
       (9701*s[5])/1056 - (62479*s[6])/3168 + (54325*s[7])/3168 + 
       (115339*s[8])/14256 - (17513*s[9])/648 - (44039*s[10])/1296 - 
       (20477*s[11])/9504 + (347587*s[12])/19008 + (845927*s[13])/19008 - 
       (800785*s[14])/19008 - (23717*s[15])/288 - (1110061*s[16])/19008 - 
       (477937*s[17])/4752 - (40727*s[18])/3888 - (22367*s[19])/1944 - 
       (5470513*s[20])/42768 - (9314431*s[21])/171072 + 
       (2203007*s[22])/171072 - (798179*s[23])/9504 + (3973153*s[24])/85536 + 
       (23193961*s[25])/769824 + (3249857*s[26])/769824 - s[30]/3 + s[34]/3 + 
       (4*s[35])/3 + (7*s[36])/9 - (11*s[37])/36 - (113*s[38])/72 + 
       (2047*s[39])/144 - (1727*s[40])/144 + (4745*s[41])/288 - 
       (9091*s[42])/288 - (12329*s[43])/1584 + (28409*s[44])/6336 + 
       (6965*s[45])/396 - (2293*s[46])/1584 - (42211*s[47])/2112 + 
       (107755*s[48])/6336 + (7495*s[49])/704 + (83795*s[50])/3168 - 
       (433247*s[51])/19008 - (150047*s[52])/6336 - (286081*s[53])/9504 - 
       (36053*s[54])/792 - (4435589*s[55])/19008 + (165197*s[56])/19008 - 
       (2812609*s[57])/7128 + (18264337*s[58])/171072 - 
       (10612969*s[59])/171072 + (11010191*s[60])/38016 - 
       (15201959*s[61])/1539648 - s[68]/3 + s[69]/3 + s[74]/6 - s[75]/6 + 
       (2*s[76])/3 - s[77]/3 - (2*s[78])/3 + (4*s[79])/3 - (14*s[80])/9 + 
       (239*s[82])/12 + 4*s[85]) + HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*((53*s[3])/24 - (35*s[4])/24 + (13193*s[5])/1056 + 
       (23857*s[6])/1584 + (2932531*s[7])/19008 - (80651*s[8])/28512 - 
       (358939*s[9])/2592 - (86035*s[10])/1296 - (1523641*s[11])/9504 - 
       (2894653*s[12])/19008 - (1658347*s[13])/19008 - 
       (1257371*s[14])/19008 - (47153*s[15])/192 - (673433*s[16])/2376 - 
       (94117*s[17])/352 - (107767*s[18])/3888 - (265441*s[19])/7776 - 
       (15785567*s[20])/42768 - (25954733*s[21])/171072 + 
       (14125447*s[22])/171072 + (348599*s[23])/19008 + 
       (33196363*s[24])/171072 - (138289741*s[25])/769824 + 
       (24236635*s[26])/192456 - s[32]/6 - (41*s[37])/72 + (181*s[38])/72 - 
       (1211*s[39])/144 + (1499*s[40])/144 - (511*s[41])/288 + 
       (67*s[42])/96 + (3439*s[43])/176 - (19007*s[44])/1056 + 
       (8831*s[45])/264 - (265153*s[46])/1584 - (147175*s[47])/9504 + 
       (329477*s[48])/9504 - (1001015*s[49])/9504 + (48395*s[50])/352 - 
       (44459*s[51])/3168 - (108689*s[52])/9504 - (489563*s[53])/4752 - 
       (96661*s[54])/1584 - (852083*s[55])/1188 - (139523*s[56])/1056 - 
       (2049823*s[57])/9504 - (567553*s[58])/3564 + (1503923*s[59])/7128 + 
       (93561443*s[60])/57024 - (2958553*s[61])/42768 - s[68]/3 + s[69]/3 - 
       s[77]/3 + (293*s[82])/12 + 4*s[85]) + HPL[{1}, 1 - v]^4*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*(-s[3]/24 - (59*s[4])/24 + 
       (1663*s[5])/176 + (7643*s[6])/528 + (121111*s[7])/792 - 
       (815*s[8])/297 - (14311*s[9])/108 - (6965*s[10])/108 - 
       (500333*s[11])/3168 - (482929*s[12])/3168 - (257113*s[13])/3168 - 
       (129067*s[14])/1584 - (5561*s[15])/24 - (883891*s[16])/3168 - 
       (46493*s[17])/176 - (32111*s[18])/1296 - (45313*s[19])/1296 - 
       (10637903*s[20])/28512 - (4151951*s[21])/28512 + 
       (1139717*s[22])/14256 - (27457*s[23])/3168 + (5730913*s[24])/28512 - 
       (22371787*s[25])/128304 + (31123739*s[26])/256608 - s[32]/6 + 
       s[37]/3 + (55*s[38])/24 + (27*s[39])/8 - (11*s[40])/8 + 
       (13*s[41])/24 - (301*s[42])/24 + (2851*s[43])/264 - 
       (9079*s[44])/1056 + (8467*s[45])/264 - (37537*s[46])/264 - 
       (49921*s[47])/3168 + (111317*s[48])/3168 - (176189*s[49])/3168 + 
       (10433*s[50])/88 - (23233*s[51])/3168 - (24617*s[52])/3168 - 
       (34013*s[53])/396 - (1093*s[54])/88 - (230503*s[55])/352 - 
       (156655*s[56])/1056 - (138269*s[57])/396 - (988019*s[58])/9504 + 
       (1195277*s[59])/9504 + (27821237*s[60])/19008 - (716501*s[61])/9504 - 
       s[68]/3 + s[69]/3 - s[77]/3 + (49*s[82])/2 + 4*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Nt[u, v, w]*(-s[3]/6 - (17*s[4])/6 + 
       (533*s[5])/264 + (679*s[6])/88 + (13489*s[7])/264 + (3067*s[8])/792 - 
       (3199*s[9])/72 - (2093*s[10])/72 - (2008*s[11])/33 - (675*s[12])/11 - 
       (3561*s[13])/88 - (1175*s[14])/33 - (191*s[15])/3 - (6563*s[16])/66 - 
       (2867*s[17])/33 + (181*s[18])/216 - (659*s[19])/27 - 
       (307261*s[20])/2376 - (13604*s[21])/297 + (17021*s[22])/594 - 
       (10867*s[23])/132 + (111517*s[24])/1188 - (2921297*s[25])/42768 + 
       (1752539*s[26])/42768 - s[32]/6 - s[37] + (5*s[38])/6 + 
       (125*s[39])/24 - (77*s[40])/24 + (21*s[41])/8 - (355*s[42])/24 + 
       (1393*s[43])/264 - (3791*s[44])/528 + (4021*s[45])/264 - 
       (2477*s[46])/44 - (23911*s[47])/1584 + (52979*s[48])/1584 - 
       (58727*s[49])/1584 + (524*s[50])/11 - (17885*s[51])/1584 - 
       (14279*s[52])/1584 - (2524*s[53])/99 - (1721*s[54])/66 - 
       (378275*s[55])/1584 - (28255*s[56])/528 - (19300*s[57])/99 - 
       (118295*s[58])/4752 + (129695*s[59])/4752 + (6660683*s[60])/9504 - 
       (196843*s[61])/7128 - s[68]/3 + s[69]/3 - s[77]/3 + 25*s[82] + 
       4*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Nt[u, v, w]*
      (s[2]/3 - (19*s[3])/12 - (39*s[4])/8 - (499*s[5])/264 + (19*s[6])/132 - 
       (14935*s[7])/4752 + (8863*s[8])/1782 + (1193*s[9])/648 - 
       (8447*s[10])/648 + (9643*s[11])/4752 + (7049*s[12])/1188 + 
       (10387*s[13])/1584 - (114329*s[14])/4752 + (677*s[15])/144 - 
       (733*s[16])/99 - (75043*s[17])/4752 + (6947*s[18])/972 - 
       (2444*s[19])/243 - (466927*s[20])/21384 - (96215*s[21])/42768 + 
       (24799*s[22])/42768 - (84157*s[23])/792 + (298897*s[24])/10692 + 
       (4661407*s[25])/384912 - (2317465*s[26])/384912 - s[30]/3 + s[34]/3 + 
       (4*s[35])/3 + (7*s[36])/9 - (13*s[37])/9 - (5*s[38])/2 + 
       (117*s[39])/8 - (893*s[40])/72 + (71*s[41])/8 - (1831*s[42])/72 - 
       (3295*s[43])/792 + (4043*s[44])/1584 + (5179*s[45])/792 + 
       (74*s[46])/11 - (76429*s[47])/4752 + (134177*s[48])/4752 + 
       (58369*s[49])/4752 + (701*s[50])/198 - (65333*s[51])/4752 - 
       (73025*s[52])/4752 + (122*s[53])/33 - (845*s[54])/44 - 
       (59959*s[55])/1584 - (51781*s[56])/4752 - (823931*s[57])/3564 + 
       (2881231*s[58])/42768 - (3169303*s[59])/42768 + 
       (4003895*s[60])/28512 - (374491*s[61])/48114 - s[68]/3 + s[69]/3 + 
       s[74]/6 - s[75]/6 + (2*s[76])/3 - s[77]/3 - (2*s[78])/3 + 
       (4*s[79])/3 - (14*s[80])/9 + 25*s[82] + 4*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Omega2[v, w, u]*
      (s[2] + (16*s[3])/3 + (47*s[4])/2 + (1993*s[5])/66 + (2587*s[6])/44 + 
       (11843*s[7])/22 - (52873*s[8])/1188 - (12449*s[9])/27 - 
       (18253*s[10])/108 - (226691*s[11])/396 - (468953*s[12])/792 - 
       (268513*s[13])/792 - (74941*s[14])/792 - (28091*s[15])/36 - 
       (743983*s[16])/792 - (157453*s[17])/198 - (18149*s[18])/162 - 
       (6701*s[19])/81 - (3976361*s[20])/3564 - (2918407*s[21])/7128 + 
       (1994093*s[22])/7128 + (221833*s[23])/396 + (2122993*s[24])/3564 - 
       (5680484*s[25])/8019 + (12865955*s[26])/32076 + (5*s[32])/6 + 
       11*s[38] - (851*s[39])/12 + (899*s[40])/12 - (671*s[41])/12 + 
       (673*s[42])/6 + (273*s[43])/4 - (767*s[44])/12 + (931*s[45])/12 - 
       (3757*s[46])/6 + (218*s[47])/9 + (431*s[48])/36 - (5323*s[49])/18 + 
       499*s[50] + (2903*s[51])/36 + (797*s[52])/18 - (13141*s[53])/36 - 
       (41*s[54])/3 - (78427*s[55])/36 - (1520*s[56])/3 + (12187*s[57])/36 - 
       (3525*s[58])/4 + (33083*s[59])/36 + (1088501*s[60])/216 - 
       (138563*s[61])/486 + (2*s[68])/3 - (2*s[69])/3 + 2*s[73] + 
       (2*s[77])/3 + 28*s[82] + 4*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*
      HPL[{0, 1}, 1 - w]*(s[2]/3 - (29*s[3])/24 - (39*s[4])/8 + 
       (727*s[5])/132 + (1597*s[6])/176 + (220915*s[7])/2376 + 
       (20*s[8])/891 - (6704*s[9])/81 - (61549*s[10])/1296 - 
       (27779*s[11])/297 - (51419*s[12])/594 - (32195*s[13])/792 - 
       (163321*s[14])/2376 - (20701*s[15])/144 - (187025*s[16])/1056 - 
       (1672769*s[17])/9504 - (143399*s[18])/7776 - (147163*s[19])/7776 - 
       (5363023*s[20])/21384 - (8607931*s[21])/85536 + 
       (2139283*s[22])/42768 - (130457*s[23])/3168 + (5588485*s[24])/42768 - 
       (34842089*s[25])/384912 + (56573095*s[26])/769824 - s[30]/3 + 
       s[34]/3 + (11*s[35])/8 + (7*s[36])/9 - (11*s[37])/9 - (7*s[38])/24 + 
       (341*s[39])/48 - (703*s[40])/144 + (119*s[41])/48 - (2033*s[42])/144 + 
       (10555*s[43])/1584 - (4319*s[44])/792 + (32507*s[45])/1584 - 
       (2960*s[46])/33 - (40367*s[47])/2376 + (40091*s[48])/1188 - 
       (301315*s[49])/9504 + (31507*s[50])/396 - (90229*s[51])/9504 - 
       (54221*s[52])/4752 - (22369*s[53])/396 - (7877*s[54])/528 - 
       (697445*s[55])/1584 - (1007981*s[56])/9504 - (2066011*s[57])/7128 - 
       (3967789*s[58])/85536 + (5310805*s[59])/85536 + 
       (55671325*s[60])/57024 - (10041457*s[61])/192456 - s[68]/3 + s[69]/3 + 
       s[74]/6 - s[75]/6 + (2*s[76])/3 - s[77]/3 - (2*s[78])/3 + 
       (4*s[79])/3 - (14*s[80])/9 + 29*s[82] + 4*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((5*s[2])/2 + (35*s[3])/3 - 6*s[4] + (21623*s[5])/264 + 
       (14917*s[6])/264 + (764389*s[7])/792 - (9959*s[8])/264 - 
       (20167*s[9])/24 - (10435*s[10])/24 - (125885*s[11])/132 - 
       (74871*s[12])/88 - (374729*s[13])/792 - (100895*s[14])/264 - 
       (58975*s[15])/36 - (360497*s[16])/198 - (1469497*s[17])/792 - 
       (27137*s[18])/216 - (31445*s[19])/108 - (2654855*s[20])/1188 - 
       (271330*s[21])/297 + (395207*s[22])/792 + (35405*s[23])/396 + 
       (42095*s[24])/33 - (45883747*s[25])/42768 + (31186819*s[26])/42768 - 
       s[30] - (3*s[33])/2 + s[34] - (13*s[36])/6 + (91*s[37])/6 + 
       (77*s[38])/6 - (271*s[39])/12 + (27*s[40])/4 + (113*s[41])/12 + 
       20*s[42] + (9007*s[43])/132 - (2995*s[44])/88 + (30289*s[45])/264 - 
       (52067*s[46])/88 - (6649*s[47])/264 + (12689*s[48])/264 - 
       (29695*s[49])/88 + (17918*s[50])/33 - (3611*s[51])/88 - 
       (13675*s[52])/264 - (119917*s[53])/264 - (30293*s[54])/132 - 
       (2313067*s[55])/792 - (37557*s[56])/88 - (126671*s[57])/99 - 
       (539069*s[58])/1188 + (1833697*s[59])/2376 + (1174579*s[60])/198 - 
       (10339559*s[61])/42768 + s[68] - s[69] + s[70] + s[71]/2 + s[74]/2 - 
       s[75]/2 - 2*s[76] + s[77] - 24*s[79] + (38*s[80])/3 + 30*s[82] + 
       4*s[85]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      (4*s[2] + 10*s[3] + (973*s[4])/12 - (435*s[5])/44 + (16035*s[6])/176 + 
       (122585*s[7])/176 - (305465*s[8])/4752 - (230533*s[9])/432 - 
       (43453*s[10])/216 - (2590799*s[11])/3168 - (2891761*s[12])/3168 - 
       (241831*s[13])/396 + (75253*s[14])/792 - (136181*s[15])/144 - 
       (242555*s[16])/198 - (2836763*s[17])/3168 - (22871*s[18])/1296 - 
       (342931*s[19])/1296 - (8055935*s[20])/7128 - (2252621*s[21])/7128 + 
       (5098031*s[22])/14256 + (2154835*s[23])/3168 + 
       (27773635*s[24])/28512 - (297173441*s[25])/256608 + 
       (129567341*s[26])/256608 - s[32]/2 + (9*s[37])/2 + (191*s[38])/12 - 
       (701*s[39])/12 + (617*s[40])/12 - (1663*s[41])/24 + (591*s[42])/8 + 
       (2143*s[43])/44 - (2265*s[44])/44 + (2033*s[45])/132 - 
       (24385*s[46])/66 - (1387*s[47])/792 + (21647*s[48])/792 - 
       (222659*s[49])/792 + (9919*s[50])/33 + (16133*s[51])/792 + 
       (10001*s[52])/396 - (37507*s[53])/198 - (888*s[54])/11 - 
       (869687*s[55])/792 - (30577*s[56])/132 + (226781*s[57])/396 - 
       (157577*s[58])/264 + (126623*s[59])/198 + (3725891*s[60])/1188 - 
       (4584533*s[61])/42768 - 2*s[68] - 2*s[77] + 68*s[82] + 4*s[85]) + 
     HPL[{0, 1}, 1 - u]*M1[v, u, w]*((-22*s[2])/3 + (139*s[3])/12 - 
       (269*s[4])/24 - (10397*s[5])/264 - (3815*s[6])/66 - 
       (1801771*s[7])/4752 + (6157*s[8])/297 + (76201*s[9])/216 + 
       (9887*s[10])/216 + (225281*s[11])/528 + (367865*s[12])/792 + 
       (1413257*s[13])/4752 + (8949*s[14])/176 + (194635*s[15])/432 + 
       (1362673*s[16])/2376 + (1938469*s[17])/4752 + (22879*s[18])/216 - 
       (5549*s[19])/216 + (1700003*s[20])/2376 + (4636669*s[21])/14256 - 
       (3004123*s[22])/14256 - (1547969*s[23])/2376 - (2042273*s[24])/7128 + 
       (66203737*s[25])/128304 - (40864057*s[26])/128304 + s[30]/3 - 
       (16*s[31])/3 + s[32]/6 - (41*s[33])/6 + (26*s[34])/3 - s[35]/3 + 
       (37*s[36])/18 - (113*s[37])/12 - (161*s[38])/6 + (2903*s[39])/24 - 
       (8977*s[40])/72 + (787*s[41])/8 - (13301*s[42])/72 - 
       (77795*s[43])/792 + (158557*s[44])/1584 - (21509*s[45])/264 + 
       (313633*s[46])/396 - (279461*s[47])/4752 + (90469*s[48])/4752 + 
       (2127275*s[49])/4752 - (117641*s[50])/198 - (570451*s[51])/4752 - 
       (440647*s[52])/4752 + (249379*s[53])/594 - (11717*s[54])/396 + 
       (3968273*s[55])/1584 + (3179405*s[56])/4752 - (1786999*s[57])/1782 + 
       (54740857*s[58])/42768 - (55769953*s[59])/42768 - 
       (176373695*s[60])/28512 + (30712411*s[61])/96228 + s[65]/3 + s[66]/3 - 
       (5*s[67])/3 - (5*s[68])/3 - (5*s[69])/3 - (2*s[70])/3 - s[71]/3 - 
       (4*s[72])/3 + (8*s[73])/3 + (2*s[74])/3 - (2*s[75])/3 + 4*s[76] + 
       (5*s[77])/3 - (8*s[78])/3 + 2*s[79] - (19*s[80])/6 + 6*s[82] - s[83] + 
       4*s[85]) + HPL[{0, 1}, 1 - w]*M1[v, u, w]*((-11*s[2])/6 + 10*s[3] + 
       (55*s[4])/4 - (3041*s[5])/264 + (2561*s[6])/264 + (316531*s[7])/2376 - 
       (163937*s[8])/7128 - (56341*s[9])/648 - (59507*s[10])/648 - 
       (27149*s[11])/297 - (134117*s[12])/2376 + (4549*s[13])/792 - 
       (200905*s[14])/2376 - (3683*s[15])/12 - (13287*s[16])/44 - 
       (860081*s[17])/2376 - (25385*s[18])/1944 - (52997*s[19])/972 - 
       (1931599*s[20])/5346 - (207806*s[21])/2673 + (1133087*s[22])/21384 - 
       (4618*s[23])/99 + (587350*s[24])/2673 - (46619759*s[25])/384912 + 
       (24130991*s[26])/384912 + (2*s[30])/3 - (4*s[31])/3 + (5*s[32])/6 + 
       (4*s[33])/3 + (13*s[34])/3 - (2*s[35])/3 + (37*s[36])/18 - 
       (55*s[37])/36 - (145*s[38])/6 + (1561*s[39])/24 - (4855*s[40])/72 + 
       (1067*s[41])/24 - (5927*s[42])/72 - (39701*s[43])/792 + 
       (92611*s[44])/1584 - (14231*s[45])/792 + (23630*s[46])/99 - 
       (117143*s[47])/4752 - (44609*s[48])/4752 + (1267025*s[49])/4752 - 
       (16495*s[50])/99 - (202273*s[51])/4752 - (216937*s[52])/4752 + 
       (90223*s[53])/1188 + (30905*s[54])/396 + (658831*s[55])/1584 + 
       (44327*s[56])/528 - (937553*s[57])/1188 + (7184369*s[58])/14256 - 
       (7030565*s[59])/14256 - (55933385*s[60])/28512 + 
       (963271*s[61])/21384 + s[65]/3 + s[66]/3 - (5*s[67])/3 - (5*s[68])/3 - 
       (5*s[69])/3 - (8*s[70])/3 - s[71]/3 - (2*s[72])/3 + 2*s[73] + 
       s[74]/2 - s[75]/2 - (2*s[76])/3 + (10*s[77])/3 - (2*s[78])/3 + 
       (14*s[79])/3 + (11*s[80])/18 + 6*s[82] - s[83] + 4*s[85]) + 
     HPL[{0, 1}, 1 - v]*M1[w, v, u]*((5*s[2])/4 + (23*s[3])/24 + 
       (1351*s[4])/16 + (19793*s[5])/264 + (84305*s[6])/528 + 
       (1562729*s[7])/1056 - (1627327*s[8])/14256 - (409715*s[9])/324 - 
       (125425*s[10])/324 - (15506659*s[11])/9504 - (526003*s[12])/297 - 
       (10045801*s[13])/9504 - (1752871*s[14])/9504 - (1722359*s[15])/864 - 
       (5962063*s[16])/2376 - (18635989*s[17])/9504 - (258967*s[18])/972 - 
       (886139*s[19])/3888 - (126122603*s[20])/42768 - 
       (93406669*s[21])/85536 + (67096085*s[22])/85536 + 
       (4047251*s[23])/2376 + (8541437*s[24])/5346 - (793685027*s[25])/
        384912 + (441317279*s[26])/384912 + (7*s[30])/6 + (4*s[31])/3 - 
       s[32] + (4*s[33])/3 - (7*s[34])/2 - (25*s[35])/6 - (74*s[36])/9 + 
       (29*s[37])/6 + (157*s[38])/3 - (5149*s[39])/24 + (16327*s[40])/72 - 
       (1387*s[41])/8 + (22517*s[42])/72 + (111449*s[43])/792 - 
       (35003*s[44])/198 + (8579*s[45])/66 - (987083*s[46])/792 + 
       (267055*s[47])/2376 - (39521*s[48])/594 - (1677997*s[49])/2376 + 
       (93964*s[50])/99 + (267415*s[51])/1188 + (415559*s[52])/2376 - 
       (751205*s[53])/1188 + (251*s[54])/396 - (506153*s[55])/132 - 
       (2405899*s[56])/2376 + (15217171*s[57])/7128 - 
       (47185553*s[58])/21384 + (23442769*s[59])/10692 + 
       (138872023*s[60])/14256 - (189903379*s[61])/384912 - s[65]/3 - 
       (4*s[66])/3 + (7*s[67])/3 + (7*s[68])/3 + (7*s[69])/3 + s[70]/3 + 
       s[71]/3 + (7*s[72])/3 - (11*s[73])/3 - (9*s[74])/4 + (9*s[75])/4 - 
       (4*s[76])/3 - (7*s[77])/6 + (19*s[78])/3 + 12*s[79] - s[80] + 
       18*s[82] + s[83] + 4*s[84] + 4*s[85]) + HPL[{0, 1}, 1 - v]*M1[u, v, w]*
      ((13*s[2])/2 + (40*s[3])/3 + (1801*s[4])/8 + (40769*s[5])/264 + 
       (13721*s[6])/33 + (1891733*s[7])/528 - (2038379*s[8])/7128 - 
       (1959199*s[9])/648 - (148163*s[10])/162 - (4696793*s[11])/1188 - 
       (5162887*s[12])/1188 - (1563205*s[13])/594 - (522635*s[14])/1188 - 
       (2028925*s[15])/432 - (28503773*s[16])/4752 - (10785259*s[17])/2376 - 
       (1360667*s[18])/1944 - (451685*s[19])/972 - (151866493*s[20])/21384 - 
       (55751881*s[21])/21384 + (40228127*s[22])/21384 + 
       (20683711*s[23])/4752 + (164405479*s[24])/42768 - 
       (1934349257*s[25])/384912 + (1072201853*s[26])/384912 + (7*s[30])/6 + 
       (7*s[31])/3 + s[32]/2 + (35*s[33])/24 - (7*s[34])/2 - (8*s[35])/3 - 
       (187*s[36])/18 + (101*s[37])/12 + (881*s[38])/6 - (13027*s[39])/24 + 
       (43213*s[40])/72 - (3775*s[41])/8 + (55805*s[42])/72 + 
       (389519*s[43])/792 - (195145*s[44])/396 + (130087*s[45])/264 - 
       (398671*s[46])/99 + (194765*s[47])/1188 + (208129*s[48])/2376 - 
       (635747*s[49])/297 + (1205191*s[50])/396 + (1248635*s[51])/2376 + 
       (1049111*s[52])/2376 - (4996693*s[53])/2376 + (26821*s[54])/198 - 
       (438458*s[55])/33 - (1063052*s[56])/297 + (3677951*s[57])/891 - 
       (34252817*s[58])/5346 + (69504463*s[59])/10692 + 
       (466597009*s[60])/14256 - (326119169*s[61])/192456 + s[65]/6 + 
       (2*s[66])/3 - (5*s[67])/3 - (2*s[68])/3 - (8*s[69])/3 - (2*s[70])/3 - 
       (7*s[71])/6 + (4*s[72])/3 + (10*s[73])/3 - 2*s[74] + 2*s[75] - 
       (16*s[76])/3 + (4*s[77])/3 + (4*s[78])/3 + 42*s[79] + s[80]/6 - 
       72*s[82] - s[83]/2 + 25*s[84] + 4*s[85]) + HPL[{0, 1}, 1 - u]*
      M1[v, w, u]*((89*s[2])/12 - (157*s[3])/24 + (10967*s[4])/48 + 
       (10165*s[5])/66 + (205547*s[6])/528 + (33098455*s[7])/9504 - 
       (1400369*s[8])/4752 - (319003*s[9])/108 - (45529*s[10])/54 - 
       (4056287*s[11])/1056 - (6710837*s[12])/1584 - (24379967*s[13])/9504 - 
       (119583*s[14])/352 - (3919945*s[15])/864 - (3431903*s[16])/594 - 
       (41146873*s[17])/9504 - (145127*s[18])/216 - (186343*s[19])/432 - 
       (32237369*s[20])/4752 - (70553257*s[21])/28512 + 
       (52435321*s[22])/28512 + (21630431*s[23])/4752 + 
       (52019855*s[24])/14256 - (157777469*s[25])/32076 + 
       (86137685*s[26])/32076 - (2*s[30])/3 + (11*s[31])/3 - (11*s[32])/6 + 
       (97*s[33])/24 - (19*s[34])/3 - (5*s[35])/6 - (263*s[36])/18 + 
       (179*s[37])/12 + (883*s[38])/6 - (6947*s[39])/12 + (22783*s[40])/36 - 
       (2025*s[41])/4 + (61225*s[42])/72 + (194687*s[43])/396 - 
       (805229*s[44])/1584 + (42127*s[45])/88 - (3252943*s[46])/792 + 
       (1029361*s[47])/4752 + (4381*s[48])/4752 - (10260853*s[49])/4752 + 
       (1236275*s[50])/396 + (2845151*s[51])/4752 + (2301881*s[52])/4752 - 
       (643450*s[53])/297 + (19891*s[54])/99 - (21363337*s[55])/1584 - 
       (17172583*s[56])/4752 + (4093819*s[57])/891 - (282889049*s[58])/
        42768 + (286636739*s[59])/42768 + (941432125*s[60])/28512 - 
       (658276385*s[61])/384912 - s[65]/6 - (2*s[66])/3 + (4*s[67])/3 + 
       (4*s[68])/3 + (4*s[69])/3 - (5*s[70])/3 - (5*s[71])/6 + (5*s[72])/3 - 
       (7*s[73])/3 - (37*s[74])/12 + (37*s[75])/12 - 4*s[76] + (7*s[77])/6 + 
       (13*s[78])/3 + 46*s[79] - (5*s[80])/2 - 54*s[82] + s[83]/2 + 
       27*s[84] + 4*s[85]) + HPL[{0, 1}, 1 - w]*M1[v, w, u]*
      ((83*s[2])/12 - (33*s[3])/8 + (3767*s[4])/16 + (7861*s[5])/66 + 
       (188437*s[6])/528 + (30597679*s[7])/9504 - (3991831*s[8])/14256 - 
       (1758577*s[9])/648 - (489461*s[10])/648 - (34258069*s[11])/9504 - 
       (19189873*s[12])/4752 - (7882279*s[13])/3168 - (1657363*s[14])/9504 - 
       (1180183*s[15])/288 - (8413369*s[16])/1584 - (36313967*s[17])/9504 - 
       (567523*s[18])/972 - (1704041*s[19])/3888 - (262518017*s[20])/42768 - 
       (187109533*s[21])/85536 + (145951505*s[22])/85536 + 
       (1711399*s[23])/396 + (72510467*s[24])/21384 - 
       (1803892859*s[25])/384912 + (956275127*s[26])/384912 - s[30]/3 + 
       (11*s[31])/3 - (7*s[32])/6 + (113*s[33])/24 - (20*s[34])/3 - 
       (7*s[35])/6 - (275*s[36])/18 + (185*s[37])/36 + (899*s[38])/6 - 
       (1702*s[39])/3 + (11219*s[40])/18 - (1478*s[41])/3 + 
       (59011*s[42])/72 + (47645*s[43])/99 - (100489*s[44])/198 + 
       (349147*s[45])/792 - (3058553*s[46])/792 + (481403*s[47])/2376 + 
       (50291*s[48])/2376 - (2559847*s[49])/1188 + (1162193*s[50])/396 + 
       (667379*s[51])/1188 + (137891*s[52])/297 - (4714225*s[53])/2376 + 
       (29813*s[54])/396 - (9829147*s[55])/792 - (72345*s[56])/22 + 
       (2820485*s[57])/594 - (45144425*s[58])/7128 + (22799767*s[59])/3564 + 
       (445319891*s[60])/14256 - (66397187*s[61])/42768 - s[65]/6 - 
       (2*s[66])/3 + (4*s[67])/3 + (4*s[68])/3 + (4*s[69])/3 - (5*s[70])/3 - 
       (5*s[71])/6 + (7*s[72])/3 - 3*s[73] - (13*s[74])/4 + (13*s[75])/4 - 
       (14*s[76])/3 + (5*s[77])/6 + (19*s[78])/3 + (146*s[79])/3 - 
       (37*s[80])/18 - 54*s[82] + s[83]/2 + 27*s[84] + 4*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      ((395*s[2])/144 + (1679*s[3])/288 + (23429*s[4])/192 + 
       (53443*s[5])/792 + (1214933*s[6])/6336 + (195057965*s[7])/114048 - 
       (28510307*s[8])/171072 - (5620141*s[9])/3888 - (3249169*s[10])/7776 - 
       (213238139*s[11])/114048 - (58923493*s[12])/28512 - 
       (15548917*s[13])/12672 - (13302911*s[14])/114048 - 
       (286091*s[15])/128 - (26896799*s[16])/9504 - (241227097*s[17])/
        114048 - (8835877*s[18])/23328 - (8123521*s[19])/46656 - 
       (1698215155*s[20])/513216 - (1225685525*s[21])/1026432 + 
       (920540461*s[22])/1026432 + (7683541*s[23])/3168 + 
       (441694159*s[24])/256608 - (11115312223*s[25])/4618944 + 
       (6012683833*s[26])/4618944 - (5*s[30])/36 + (19*s[31])/12 + 
       (4*s[32])/3 - s[33]/96 - (133*s[34])/36 + (7*s[35])/72 - 
       (1379*s[36])/216 + (1633*s[37])/432 + (129*s[38])/2 - (2333*s[39])/8 + 
       (33751*s[40])/108 - (4133*s[41])/16 + (96403*s[42])/216 + 
       (543655*s[43])/2376 - (4685183*s[44])/19008 + (2277593*s[45])/9504 - 
       (6670337*s[46])/3168 + (7576321*s[47])/57024 - (2626355*s[48])/57024 - 
       (56577877*s[49])/57024 + (3867043*s[50])/2376 + 
       (19749167*s[51])/57024 + (14611775*s[52])/57024 - 
       (2641801*s[53])/2376 + (140561*s[54])/1584 - (128955947*s[55])/19008 - 
       (104812259*s[56])/57024 + (228471091*s[57])/85536 - 
       (1785414427*s[58])/513216 + (1755281113*s[59])/513216 + 
       (5625498997*s[60])/342144 - (4306431025*s[61])/4618944 - s[65]/12 - 
       s[66]/3 + s[67]/3 + (29*s[68])/18 - (17*s[69])/18 - (5*s[70])/12 - 
       (5*s[71])/12 + (13*s[72])/12 + (43*s[73])/12 - (203*s[74])/144 + 
       (203*s[75])/144 - (17*s[76])/36 + (89*s[77])/72 + (53*s[78])/36 + 
       (146*s[79])/9 + (295*s[80])/216 - (169*s[82])/12 + s[83]/4 + 
       (17*s[84])/2 + (14*s[85])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*((61*s[2])/24 + (385*s[3])/72 + 
       (24605*s[4])/288 + (356485*s[5])/3168 + (7630*s[6])/33 + 
       (698395*s[7])/396 - (1788893*s[8])/14256 - (1946677*s[9])/1296 - 
       (1244719*s[10])/2592 - (18020525*s[11])/9504 - (18840031*s[12])/9504 - 
       (11427221*s[13])/9504 - (3709121*s[14])/9504 - (1050185*s[15])/432 - 
       (3597877*s[16])/1188 - (2998165*s[17])/1188 - (1445747*s[18])/3888 - 
       (804583*s[19])/3888 - (306653597*s[20])/85536 - 
       (121570787*s[21])/85536 + (78528199*s[22])/85536 + 
       (18892063*s[23])/9504 + (159457339*s[24])/85536 - 
       (1794087923*s[25])/769824 + (268942373*s[26])/192456 + (47*s[30])/24 + 
       (13*s[31])/12 - (37*s[32])/36 + (11*s[33])/96 - (29*s[34])/24 - 
       (21*s[35])/4 - (269*s[36])/36 + (41*s[37])/12 + (3493*s[38])/72 - 
       (33745*s[39])/144 + (11983*s[40])/48 - (3255*s[41])/16 + 
       (17179*s[42])/48 + (321047*s[43])/1584 - (37453*s[44])/198 + 
       (330763*s[45])/1584 - (1415165*s[46])/792 + (103685*s[47])/1056 - 
       (32629*s[48])/3168 - (2832997*s[49])/3168 + (2116831*s[50])/1584 + 
       (665917*s[51])/3168 + (292771*s[52])/1584 - (4671481*s[53])/4752 + 
       (16833*s[54])/176 - (57653399*s[55])/9504 - (15887413*s[56])/9504 + 
       (26185811*s[57])/14256 - (242494661*s[58])/85536 + 
       (250446701*s[59])/85536 + (268331837*s[60])/19008 - 
       (619831463*s[61])/769824 - s[65]/12 - s[66]/3 + s[67]/3 + 
       (49*s[68])/36 - (25*s[69])/36 - s[70]/6 + (5*s[72])/6 - (13*s[73])/6 - 
       (11*s[74])/12 + (11*s[75])/12 - (9*s[76])/2 + (49*s[77])/36 + 
       5*s[78] + (43*s[79])/6 + (5*s[80])/3 - (151*s[82])/12 + s[83]/4 + 
       (17*s[84])/2 + (14*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]^2*((5*s[2])/12 - (1435*s[3])/96 - (1301*s[4])/64 - 
       (3965*s[5])/1056 - (94043*s[6])/2112 - (2797969*s[7])/38016 + 
       (758365*s[8])/57024 + (7387*s[9])/162 - (22321*s[10])/648 + 
       (3685969*s[11])/38016 + (1276259*s[12])/9504 + (487055*s[13])/4224 - 
       (1936895*s[14])/38016 + (8861*s[15])/1152 + (384761*s[16])/6336 - 
       (1001569*s[17])/38016 + (230437*s[18])/3888 - (871579*s[19])/15552 + 
       (3826391*s[20])/171072 + (18012439*s[21])/342144 - 
       (9227123*s[22])/342144 - (321381*s[23])/704 + (9249155*s[24])/171072 + 
       (226363787*s[25])/1539648 - (146184605*s[26])/1539648 - 
       (73*s[30])/24 + s[32] + (5*s[34])/12 + (19*s[35])/6 + 
       (713*s[36])/144 + (469*s[37])/144 - (635*s[38])/48 + 
       (9911*s[39])/192 - (29561*s[40])/576 + (7613*s[41])/192 - 
       (45979*s[42])/576 - (184027*s[43])/6336 + (282257*s[44])/12672 - 
       (64721*s[45])/1584 + (197561*s[46])/704 - (1335691*s[47])/38016 + 
       (1407335*s[48])/38016 + (3717553*s[49])/38016 - (131375*s[50])/792 - 
       (1880261*s[51])/38016 - (2603339*s[52])/38016 + (82209*s[53])/704 - 
       (22969*s[54])/352 + (2981249*s[55])/4224 + (11461595*s[56])/38016 - 
       (27095993*s[57])/28512 + (227232241*s[58])/342144 - 
       (209021695*s[59])/342144 - (381916807*s[60])/228096 + 
       (483933511*s[61])/3079296 - (11*s[68])/12 + (11*s[69])/12 + 
       (17*s[71])/16 + (5*s[74])/24 - (5*s[75])/24 + (43*s[76])/12 - 
       (11*s[77])/12 - (11*s[78])/6 + (29*s[79])/3 - (989*s[80])/72 + 
       (215*s[82])/4 + 5*s[85]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]^2*(-s[2]/2 - (143*s[3])/24 - (175*s[4])/6 + 
       (11461*s[5])/1056 - (23723*s[6])/1056 + (166981*s[7])/2112 + 
       (10213*s[8])/396 - (25367*s[9])/288 - (30463*s[10])/288 - 
       (121951*s[11])/2112 - (4273*s[12])/1056 + (60701*s[13])/2112 - 
       (293009*s[14])/2112 - (112187*s[15])/576 - (100139*s[16])/528 - 
       (194265*s[17])/704 + (3121*s[18])/432 - (7759*s[19])/108 - 
       (774377*s[20])/2376 - (2889835*s[21])/19008 + (939497*s[22])/19008 - 
       (120625*s[23])/264 + (1858039*s[24])/9504 + (22397*s[25])/171072 + 
       (10990831*s[26])/171072 + s[30] - (121*s[32])/48 - (7*s[36])/3 - 
       (167*s[37])/24 + (39*s[38])/8 + (1483*s[39])/48 - (517*s[40])/16 + 
       (571*s[41])/24 - (1717*s[42])/24 + (1961*s[43])/176 - (75*s[44])/88 + 
       (42419*s[45])/528 - (8381*s[46])/33 - (48775*s[47])/792 + 
       (148531*s[48])/1584 - (162145*s[49])/1584 + (129851*s[50])/528 - 
       (87821*s[51])/1584 - (64045*s[52])/1584 - (93613*s[53])/528 - 
       (63601*s[54])/528 - (564803*s[55])/396 - (357629*s[56])/1584 - 
       (11664533*s[57])/9504 - (116407*s[58])/3564 + (1871365*s[59])/14256 + 
       (7378555*s[60])/2376 - (34993193*s[61])/256608 - (11*s[68])/12 + 
       (11*s[69])/12 - s[71]/2 - s[73] - (11*s[77])/12 - 6*s[79] + 
       (37*s[80])/6 + (215*s[82])/4 + 5*s[85]) + HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((-13*s[2])/16 + (125*s[3])/96 + 
       (51019*s[4])/576 + (32545*s[5])/396 + (125569*s[6])/704 + 
       (65310415*s[7])/38016 - (908029*s[8])/6336 - (211223*s[9])/144 - 
       (45839*s[10])/96 - (7684901*s[11])/4224 - (1531339*s[12])/792 - 
       (42362063*s[13])/38016 - (1342457*s[14])/4224 - (2780459*s[15])/1152 - 
       (27842405*s[16])/9504 - (90658027*s[17])/38016 - (904823*s[18])/2592 - 
       (1059509*s[19])/5184 - (202771973*s[20])/57024 - 
       (150523697*s[21])/114048 + (11434157*s[22])/12672 + 
       (18423943*s[23])/9504 + (17362031*s[24])/9504 - 
       (1165357909*s[25])/513216 + (675799669*s[26])/513216 + (4*s[30])/3 + 
       s[31]/4 - (2*s[32])/3 + (85*s[33])/96 - s[34]/6 - (11*s[35])/24 - 
       (4*s[36])/3 + (1595*s[37])/144 + (1013*s[38])/36 - (16531*s[39])/96 + 
       (18731*s[40])/96 - (45475*s[41])/288 + (76697*s[42])/288 + 
       (458423*s[43])/3168 - (963521*s[44])/6336 + (737509*s[45])/3168 - 
       (443449*s[46])/264 + (1339103*s[47])/19008 - (608491*s[48])/19008 - 
       (12125585*s[49])/19008 + (683609*s[50])/528 + (1108219*s[51])/6336 + 
       (2760499*s[52])/19008 - (9223465*s[53])/9504 + (99113*s[54])/792 - 
       (39323683*s[55])/6336 - (32106827*s[56])/19008 + 
       (7115563*s[57])/7128 - (430875397*s[58])/171072 + 
       (442680031*s[59])/171072 + (1535650301*s[60])/114048 - 
       (1237316491*s[61])/1539648 + s[65]/4 + s[66] - (17*s[67])/6 - 
       (5*s[68])/6 - (29*s[69])/6 - (4*s[70])/3 - (3*s[71])/8 + 
       (11*s[72])/12 + (31*s[73])/12 - (11*s[74])/16 + (11*s[75])/16 - 
       (9*s[76])/4 + (49*s[77])/24 + (11*s[78])/12 + (181*s[79])/6 - 
       (469*s[80])/72 + (125*s[82])/2 - (3*s[83])/4 + 13*s[84] + 5*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((353*s[2])/48 + (155*s[3])/32 + (13447*s[4])/64 + (396673*s[5])/1584 + 
       (2880857*s[6])/6336 + (57047059*s[7])/12672 - (19565615*s[8])/57024 - 
       (10001201*s[9])/2592 - (1675991*s[10])/1296 - (182938163*s[11])/
        38016 - (48307177*s[12])/9504 - (112185101*s[13])/38016 - 
       (32785859*s[14])/38016 - (2432831*s[15])/384 - (73365269*s[16])/9504 - 
       (241303901*s[17])/38016 - (3388133*s[18])/3888 - 
       (10038391*s[19])/15552 - (1597493917*s[20])/171072 - 
       (1201761005*s[21])/342144 + (809673517*s[22])/342144 + 
       (45044743*s[23])/9504 + (419155807*s[24])/85536 - 
       (9174763687*s[25])/1539648 + (5330696773*s[26])/1539648 + s[30]/2 + 
       (11*s[31])/4 - (19*s[32])/12 + (41*s[33])/32 - (55*s[34])/12 - 
       (25*s[35])/8 - (143*s[36])/18 + (739*s[37])/36 + (1063*s[38])/8 - 
       (162709*s[39])/288 + (59359*s[40])/96 - (135913*s[41])/288 + 
       (240545*s[42])/288 + (538481*s[43])/1056 - (1633585*s[44])/3168 + 
       (977635*s[45])/1584 - (14930923*s[46])/3168 + (204691*s[47])/1056 + 
       (4043*s[48])/176 - (7292587*s[49])/3168 + (1939045*s[50])/528 + 
       (2603897*s[51])/4752 + (656671*s[52])/1584 - (6332803*s[53])/2376 + 
       (66317*s[54])/792 - (79840303*s[55])/4752 - (40325243*s[56])/9504 + 
       (83140985*s[57])/28512 - (596291503*s[58])/85536 + 
       (313267709*s[59])/42768 + (735842821*s[60])/19008 - 
       (3172737899*s[61])/1539648 - (5*s[67])/6 + s[68]/6 - (11*s[69])/6 - 
       s[70]/3 + s[71]/4 + (9*s[72])/4 + s[73]/4 - (133*s[74])/48 + 
       (133*s[75])/48 - (73*s[76])/12 + (7*s[77])/8 + (47*s[78])/12 + 
       (133*s[79])/3 - (19*s[80])/2 + (21*s[82])/2 + (53*s[84])/2 + 
       5*s[85]) + HPL[{1}, 1 - w]*Phi6[u, v, w]^2*(s[2]/2 - 2*s[3] + 
       (15*s[4])/4 + (325*s[5])/88 + (97*s[6])/88 + (42079*s[7])/528 - 
       (161*s[8])/44 - (555*s[9])/8 - (265*s[10])/8 - (14919*s[11])/176 - 
       (923*s[12])/11 - (24947*s[13])/528 - (1539*s[14])/176 - 
       (6287*s[15])/48 - (38119*s[16])/264 - (68029*s[17])/528 - 
       (161*s[18])/36 - (1135*s[19])/36 - (32819*s[20])/198 - 
       (86453*s[21])/1584 + (7507*s[22])/176 + (2395*s[23])/132 + 
       (10229*s[24])/88 - (1490627*s[25])/14256 + (751655*s[26])/14256 + 
       (3*s[32])/4 - s[37] + (11*s[38])/2 - (35*s[39])/4 + (27*s[40])/4 - 
       (15*s[41])/2 + 7*s[42] + (513*s[43])/44 - (777*s[44])/88 + 
       (457*s[45])/44 - (982*s[46])/11 - (1031*s[47])/264 + 
       (2335*s[48])/264 - (16399*s[49])/264 + (3743*s[50])/44 + 
       (1321*s[51])/264 + (131*s[52])/264 - (3815*s[53])/66 - 
       (1395*s[54])/44 - (97951*s[55])/264 - (3703*s[56])/88 - 
       (17549*s[57])/132 - (18583*s[58])/264 + (26717*s[59])/264 + 
       (1420591*s[60])/1584 - (93769*s[61])/3564 + s[73] + 6*s[85]) + 
     D30[u, v, w]*((-3*s[37])/2 - (5*s[38])/2 + (23*s[39])/4 - (11*s[40])/4 + 
       s[41]/4 - (69*s[42])/8 - (25*s[43])/4 + (9*s[44])/4 + (13*s[45])/2 - 
       (11*s[46])/4 - (61*s[47])/24 + (5*s[48])/24 + (305*s[49])/12 + 
       (17*s[50])/2 - (55*s[51])/12 - (10*s[52])/3 - (13*s[53])/6 - 
       (113*s[55])/2 - 32*s[56] - (32*s[57])/3 - (1073*s[58])/72 + 
       (647*s[59])/72 - (22*s[60])/9 - 22*s[61] - s[68]/2 + s[69]/2 - 
       s[77]/2 + 6*s[85]) + D30[w, u, v]*(s[2]/2 - (9*s[3])/4 - 8*s[4] - 
       (503*s[5])/88 + (505*s[6])/88 - (2270*s[7])/33 + (29137*s[8])/2376 + 
       (3047*s[9])/54 + (1439*s[10])/108 + (120145*s[11])/1584 + 
       (70711*s[12])/792 + (57229*s[13])/1584 - (35003*s[14])/1584 + 
       (4013*s[15])/36 + (199759*s[16])/1584 + (136651*s[17])/1584 + 
       (5633*s[18])/324 + (967*s[19])/81 + (989705*s[20])/7128 + 
       (673435*s[21])/14256 - (506441*s[22])/14256 - (296501*s[23])/1584 - 
       (951845*s[24])/14256 + (3355843*s[25])/32076 - (1660657*s[26])/32076 + 
       s[34]/2 + 2*s[35] + (3*s[36])/4 - (91*s[37])/24 - 2*s[38] + 
       (301*s[39])/16 - (249*s[40])/16 + (141*s[41])/16 - (531*s[42])/16 - 
       (291*s[43])/176 + (3283*s[44])/352 + (8047*s[45])/528 - 
       (2393*s[46])/264 - (7355*s[47])/352 + (11059*s[48])/352 + 
       (9877*s[49])/352 + (421*s[50])/44 - (20819*s[51])/1056 - 
       (3415*s[52])/352 - (305*s[53])/99 - (775*s[54])/132 - 
       (40823*s[55])/352 - (114509*s[56])/3168 - (645343*s[57])/2376 + 
       (1347959*s[58])/28512 - (1583831*s[59])/28512 + (1428037*s[60])/6336 - 
       (1483165*s[61])/64152 - s[68]/2 + s[69]/2 - s[71]/2 + s[74]/4 - 
       s[75]/4 + s[76] - s[77]/2 - s[78] + 2*s[79] + (5*s[80])/12 + 
       6*s[85]) + HPL[{1}, 1 - u]*Phi6[u, v, w]^2*(s[2]/2 + (17*s[3])/8 - 
       (41*s[4])/16 + (329*s[5])/44 + (3745*s[6])/176 + (335525*s[7])/3168 + 
       (4817*s[8])/4752 - (4753*s[9])/54 - (5497*s[10])/108 - 
       (335713*s[11])/3168 - (69467*s[12])/792 - (191831*s[13])/3168 - 
       (188953*s[14])/3168 - (48991*s[15])/288 - (304549*s[16])/1584 - 
       (222017*s[17])/1056 - (5629*s[18])/324 - (35753*s[19])/1296 - 
       (3398141*s[20])/14256 - (3178987*s[21])/28512 + 
       (1452203*s[22])/28512 - (64921*s[23])/1584 + (2103661*s[24])/14256 - 
       (7133095*s[25])/64152 + (5845555*s[26])/64152 + s[34]/2 + s[35]/2 - 
       (11*s[36])/6 - (53*s[37])/12 + (11*s[38])/2 + (11*s[39])/8 - 
       (49*s[40])/24 - (11*s[41])/8 - (275*s[42])/24 + (5617*s[43])/264 - 
       (1351*s[44])/264 + (11765*s[45])/264 - (8527*s[46])/44 - 
       (17131*s[47])/792 + (15013*s[48])/396 - (60257*s[49])/792 + 
       (21347*s[50])/132 - (904*s[51])/99 - (1015*s[52])/396 - 
       (5435*s[53])/44 - (801*s[54])/22 - (231025*s[55])/264 - 
       (142081*s[56])/792 - (874523*s[57])/2376 - (152146*s[58])/891 + 
       (1550177*s[59])/7128 + (2242091*s[60])/1188 - 
       (13363435*s[61])/128304 - s[71]/2 + s[74]/4 - s[75]/4 - 6*s[79] + 
       (37*s[80])/6 + 6*s[85]) + HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - v]*(2*s[2] + 9*s[3] + (701*s[4])/4 + 
       (12651*s[5])/88 + (12857*s[6])/44 + (464265*s[7])/176 - 
       (193819*s[8])/792 - (158789*s[9])/72 - (25127*s[10])/36 - 
       (745127*s[11])/264 - (1568933*s[12])/528 - (924493*s[13])/528 - 
       (166831*s[14])/528 - (182771*s[15])/48 - (1187909*s[16])/264 - 
       (493897*s[17])/132 - (12620*s[18])/27 - (49093*s[19])/108 - 
       (12284075*s[20])/2376 - (8916283*s[21])/4752 + (6396275*s[22])/4752 + 
       (1631771*s[23])/528 + (13904123*s[24])/4752 - (77052653*s[25])/21384 + 
       (42180983*s[26])/21384 + (13*s[32])/2 - 8*s[37] + (233*s[38])/2 - 
       497*s[39] + 527*s[40] - (1851*s[41])/4 + (2969*s[42])/4 + 
       (1025*s[43])/2 - (3831*s[44])/8 + (1093*s[45])/2 - 4393*s[46] + 
       (535*s[47])/4 + (421*s[48])/4 - (4529*s[49])/2 + (7083*s[50])/2 + 
       531*s[51] + (2581*s[52])/8 - (30737*s[53])/12 + (23*s[54])/2 - 
       16018*s[55] - (10900*s[56])/3 + (61013*s[57])/72 - 
       (627383*s[58])/108 + (170312*s[59])/27 + (442265*s[60])/12 - 
       (3621223*s[61])/1944 - (5*s[68])/2 + (5*s[69])/2 + 4*s[73] - 
       (5*s[77])/2 + 90*s[82] + 6*s[85]) + HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v]*((-3*s[2])/2 + (53*s[3])/2 + (1399*s[4])/8 + 
       (5163*s[5])/22 + (14433*s[6])/44 + (5483719*s[7])/1584 - 
       (106835*s[8])/396 - (105313*s[9])/36 - (71743*s[10])/72 - 
       (478121*s[11])/132 - (1951349*s[12])/528 - (3342617*s[13])/1584 - 
       (315461*s[14])/528 - (756385*s[15])/144 - (2396267*s[16])/396 - 
       (2107225*s[17])/396 - (124673*s[18])/216 - (145879*s[19])/216 - 
       (8437349*s[20])/1188 - (4232939*s[21])/1584 + (8356829*s[22])/4752 + 
       (5647579*s[23])/1584 + (18806105*s[24])/4752 - 
       (64818385*s[25])/14256 + (37605697*s[26])/14256 + 11*s[30] - 
       (3*s[34])/2 - 12*s[35] - (205*s[36])/12 + (45*s[37])/8 + 107*s[38] - 
       (6961*s[39])/16 + (22711*s[40])/48 - (6693*s[41])/16 + 
       (31079*s[42])/48 + (251453*s[43])/528 - (464215*s[44])/1056 + 
       (114387*s[45])/176 - (1192537*s[46])/264 + (252821*s[47])/3168 + 
       (238895*s[48])/3168 - (6840143*s[49])/3168 + (490943*s[50])/132 + 
       (1424983*s[51])/3168 + (861829*s[52])/3168 - (2238821*s[53])/792 - 
       (1349*s[54])/33 - (18884057*s[55])/1056 - (12458249*s[56])/3168 - 
       (946811*s[57])/1188 - (161381041*s[58])/28512 + 
       (184551649*s[59])/28512 + (740954999*s[60])/19008 - 
       (66200375*s[61])/32076 - (5*s[68])/2 + (5*s[69])/2 - (3*s[71])/2 - 
       (3*s[74])/4 + (3*s[75])/4 + 26*s[76] - (5*s[77])/2 + s[78] - 2*s[79] - 
       (31*s[80])/4 + 90*s[82] + 6*s[85]) + HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w]*((3*s[2])/4 + 103*s[3] + (127*s[4])/4 - 
       (1959*s[5])/88 - (5993*s[6])/44 + (51107*s[7])/176 - (6109*s[8])/264 - 
       (4127*s[9])/24 - (1412*s[10])/3 + (927*s[11])/88 + (70071*s[12])/176 + 
       (99443*s[13])/176 - (24851*s[14])/176 - (23251*s[15])/16 - 
       (97197*s[16])/88 - (84613*s[17])/44 + (4613*s[18])/72 - 
       (17365*s[19])/36 - (812291*s[20])/792 - (97771*s[21])/1584 + 
       (101627*s[22])/1584 - (153387*s[23])/176 + (1167851*s[24])/1584 + 
       (161285*s[25])/3564 - (125531*s[26])/891 - s[32]/4 - (79*s[37])/2 - 
       (205*s[38])/2 + (503*s[39])/2 - (521*s[40])/2 + (741*s[41])/4 - 
       (611*s[42])/2 - 233*s[43] + (1803*s[44])/8 - (209*s[45])/2 + 
       (2749*s[46])/2 - (197*s[47])/2 - (209*s[48])/2 + 844*s[49] - 
       (903*s[50])/2 - (353*s[51])/2 - (2497*s[52])/8 + (2797*s[53])/12 - 
       440*s[54] + 1923*s[55] + (9715*s[56])/6 - (403663*s[57])/72 + 
       (97498*s[58])/27 - (334075*s[59])/108 - (111497*s[60])/12 + 
       (1113401*s[61])/1944 + (7*s[68])/2 + (17*s[69])/2 + 4*s[73] + 
       (7*s[77])/2 + 126*s[82] + 6*s[85]) + HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u]*((-3*s[2])/2 + (119*s[3])/2 - (917*s[4])/8 + 
       (1383*s[5])/44 - (11153*s[6])/44 - (1904849*s[7])/1584 + 
       (63515*s[8])/594 + (108623*s[9])/108 + (23153*s[10])/216 + 
       (157763*s[11])/99 + (3417391*s[12])/1584 + (757723*s[13])/528 + 
       (15347*s[14])/1584 + (33277*s[15])/48 + (151035*s[16])/88 + 
       (138007*s[17])/396 + (149861*s[18])/648 - (32855*s[19])/648 + 
       (3799201*s[20])/1782 + (9816359*s[21])/14256 - 
       (10141789*s[22])/14256 - (1082003*s[23])/528 - 
       (16796629*s[24])/14256 + (273797567*s[25])/128304 - 
       (133776395*s[26])/128304 + (7*s[30])/2 - (3*s[34])/2 - 6*s[35] - 
       (61*s[36])/12 - (337*s[37])/24 - (109*s[38])/2 + (4491*s[39])/16 - 
       (17117*s[40])/48 + (5087*s[41])/16 - (20185*s[42])/48 - 
       (129343*s[43])/528 + (354161*s[44])/1056 - (10415*s[45])/528 + 
       (128483*s[46])/88 - (198307*s[47])/3168 - (526657*s[48])/3168 + 
       (3247681*s[49])/3168 - (121921*s[50])/132 - (1048241*s[51])/3168 - 
       (953099*s[52])/3168 + (91321*s[53])/264 - (4211*s[54])/11 + 
       (2369167*s[55])/1056 + (4467863*s[56])/3168 - (13244585*s[57])/2376 + 
       (99766567*s[58])/28512 - (83465839*s[59])/28512 - 
       (214032769*s[60])/19008 + (17496959*s[61])/32076 + (3*s[62])/2 + 
       (15*s[68])/2 - (3*s[69])/2 - (3*s[71])/2 - (3*s[74])/4 + (3*s[75])/4 - 
       3*s[76] + (15*s[77])/2 + 3*s[78] - 82*s[79] + (539*s[80])/12 + 
       126*s[82] + 6*s[85]) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*(s[2]/2 + (3*s[3])/16 + (341*s[4])/48 + 
       (11309*s[5])/528 + (101063*s[6])/2112 + (5891285*s[7])/19008 - 
       (850981*s[8])/57024 - (1375409*s[9])/5184 - (70265*s[10])/648 - 
       (12189877*s[11])/38016 - (11742503*s[12])/38016 - (147515*s[13])/792 - 
       (308353*s[14])/2376 - (29919*s[15])/64 - (1173179*s[16])/2112 - 
       (19740467*s[17])/38016 - (54823*s[18])/972 - (197519*s[19])/3888 - 
       (29432945*s[20])/42768 - (48144779*s[21])/171072 + 
       (27422299*s[22])/171072 + (2010121*s[23])/12672 + 
       (126017861*s[24])/342144 - (1145393131*s[25])/3079296 + 
       (770513773*s[26])/3079296 - s[30]/6 + s[34]/2 + (29*s[35])/24 + 
       (31*s[36])/72 - (37*s[37])/16 + (65*s[38])/48 - (329*s[39])/24 + 
       (1295*s[40])/72 - (73*s[41])/4 + (5371*s[42])/288 + (3044*s[43])/99 - 
       (154619*s[44])/6336 + (10613*s[45])/198 - (173089*s[46])/528 - 
       (180449*s[47])/19008 + (682303*s[48])/19008 - (1233461*s[49])/9504 + 
       (406871*s[50])/1584 + (53263*s[51])/9504 + (53315*s[52])/19008 - 
       (156071*s[53])/792 - (2833*s[54])/1056 - (2824309*s[55])/2112 - 
       (3263149*s[56])/9504 - (6651449*s[57])/28512 - 
       (32573093*s[58])/85536 + (9033245*s[59])/21384 + 
       (164717549*s[60])/57024 - (32368811*s[61])/192456 - s[68]/4 + 
       s[69]/4 + s[74]/6 - s[75]/6 + (2*s[76])/3 - s[77]/4 - s[78]/2 + 
       (5*s[79])/3 - (61*s[80])/36 + (223*s[82])/8 + s[84] + 6*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*
      ((-3*s[2])/8 + (37*s[3])/24 + (881*s[4])/96 + (25819*s[5])/1056 + 
       (80185*s[6])/2112 + (7601653*s[7])/19008 - (155711*s[8])/6336 - 
       (66659*s[9])/192 - (4793*s[10])/36 - (5328395*s[11])/12672 - 
       (1837609*s[12])/4224 - (1123361*s[13])/4752 - (764455*s[14])/6336 - 
       (983011*s[15])/1728 - (3322409*s[16])/4752 - (22803527*s[17])/38016 - 
       (462095*s[18])/5184 - (278101*s[19])/5184 - (50495779*s[20])/57024 - 
       (1198871*s[21])/3564 + (2002387*s[22])/9504 + (12091385*s[23])/38016 + 
       (1904161*s[24])/4224 - (510999259*s[25])/1026432 + 
       (314252725*s[26])/1026432 + s[30]/12 - s[32]/8 + s[33]/24 - s[35]/12 - 
       s[36]/2 - (7*s[37])/9 + (359*s[38])/48 - (3245*s[39])/96 + 
       (3797*s[40])/96 - (1077*s[41])/32 + (191*s[42])/4 + 
       (38387*s[43])/1056 - (83707*s[44])/2112 + (206995*s[45])/3168 - 
       (672383*s[46])/1584 + (2797*s[47])/704 + (43943*s[48])/2112 - 
       (360277*s[49])/2112 + (11380*s[50])/33 + (83933*s[51])/2112 + 
       (55679*s[52])/2112 - (2336699*s[53])/9504 + (8687*s[54])/792 - 
       (10170157*s[55])/6336 - (7635161*s[56])/19008 - (630437*s[57])/28512 - 
       (94982551*s[58])/171072 + (97404613*s[59])/171072 + 
       (138362353*s[60])/38016 - (163080443*s[61])/769824 - s[68]/4 + 
       s[69]/4 + s[72]/6 + s[73]/3 - s[74]/8 + s[75]/8 + s[76]/12 - s[77]/3 + 
       s[78]/6 + (8*s[79])/3 - (29*s[80])/36 + (241*s[82])/8 + s[84] + 
       6*s[85]) + HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-31*s[2])/24 + (899*s[3])/48 + (9803*s[4])/96 + (651*s[5])/11 + 
       (508415*s[6])/3168 + (3419035*s[7])/2376 - (450125*s[8])/3564 - 
       (3067961*s[9])/2592 - (987097*s[10])/2592 - (1887511*s[11])/1188 - 
       (16679647*s[12])/9504 - (9956569*s[13])/9504 - (1330955*s[14])/9504 - 
       (827597*s[15])/432 - (11611715*s[16])/4752 - (986761*s[17])/528 - 
       (1927567*s[18])/7776 - (1998677*s[19])/7776 - (120797833*s[20])/
        42768 - (41606017*s[21])/42768 + (63488041*s[22])/85536 + 
       (4044677*s[23])/2376 + (17385935*s[24])/10692 - 
       (794353981*s[25])/384912 + (834853319*s[26])/769824 - (7*s[30])/6 - 
       (4*s[31])/3 + s[32]/12 - (65*s[33])/24 + (37*s[34])/12 - 
       (13*s[35])/12 - (19*s[36])/36 + (395*s[37])/144 + (3277*s[38])/72 - 
       (12451*s[39])/72 + (4645*s[40])/24 - (21083*s[41])/144 + 
       (8855*s[42])/36 + (118885*s[43])/792 - (999899*s[44])/6336 + 
       (66739*s[45])/352 - (492045*s[46])/352 + (1260653*s[47])/19008 + 
       (414005*s[48])/19008 - (12869147*s[49])/19008 + (209917*s[50])/198 + 
       (3492305*s[51])/19008 + (2798683*s[52])/19008 - (2309281*s[53])/3168 + 
       (542*s[54])/11 - (87900977*s[55])/19008 - (23932081*s[56])/19008 + 
       (37985351*s[57])/28512 - (377866751*s[58])/171072 + 
       (372014303*s[59])/171072 + (1301566067*s[60])/114048 - 
       (487057825*s[61])/769824 + s[65]/12 + s[66]/3 + s[68] - s[69] + 
       s[70] + s[71]/24 - (5*s[72])/6 + s[73]/6 - (7*s[74])/24 + 
       (7*s[75])/24 + (7*s[76])/6 + (23*s[77])/12 - 3*s[78] + (27*s[79])/2 - 
       (163*s[80])/24 + (241*s[82])/6 - s[83]/4 + (17*s[84])/2 + 6*s[85]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-31*s[2])/24 + (1387*s[3])/48 + (6787*s[4])/32 + (43657*s[5])/528 + 
       (927623*s[6])/3168 + (24960217*s[7])/9504 - (3568747*s[8])/14256 - 
       (5593351*s[9])/2592 - (1646141*s[10])/2592 - (27584779*s[11])/9504 - 
       (30710783*s[12])/9504 - (1039255*s[13])/528 - (76741*s[14])/594 - 
       (2989193*s[15])/864 - (2315029*s[16])/528 - (30958307*s[17])/9504 - 
       (3522881*s[18])/7776 - (3290125*s[19])/7776 - (13372943*s[20])/2673 - 
       (147786649*s[21])/85536 + (28962419*s[22])/21384 + 
       (1373807*s[23])/396 + (60719381*s[24])/21384 - 
       (91892852*s[25])/24057 + (1540574455*s[26])/769824 + (3*s[30])/4 - 
       (5*s[31])/6 + (23*s[32])/12 - s[33]/16 + (5*s[34])/3 - (29*s[35])/12 - 
       (65*s[36])/18 + (155*s[37])/16 + (7477*s[38])/72 - (14039*s[39])/36 + 
       (5233*s[40])/12 - (49337*s[41])/144 + (5060*s[42])/9 + 
       (146633*s[43])/396 - (2244497*s[44])/6336 + (1350467*s[45])/3168 - 
       (10184201*s[46])/3168 + (2396123*s[47])/19008 + 
       (1043387*s[48])/19008 - (30249077*s[49])/19008 + (1942381*s[50])/792 + 
       (7382303*s[51])/19008 + (6107305*s[52])/19008 - 
       (16413091*s[53])/9504 + (90109*s[54])/792 - (209965175*s[55])/19008 - 
       (55281287*s[56])/19008 + (70907029*s[57])/28512 - 
       (843548413*s[58])/171072 + (861786121*s[59])/171072 + 
       (3009353129*s[60])/114048 - (539349535*s[61])/384912 + s[65]/3 + 
       (4*s[66])/3 - 2*s[67] - 4*s[69] - (23*s[71])/24 + s[72]/2 + 
       (11*s[73])/6 - (7*s[74])/8 + (7*s[75])/8 - (13*s[76])/6 + 
       (11*s[77])/4 + s[78]/2 + (203*s[79])/6 - (233*s[80])/72 - 
       (29*s[82])/6 - s[83] + 19*s[84] + 6*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((5*s[2])/9 - (121*s[3])/72 - (61*s[4])/6 + (33305*s[5])/1584 + 
       (73745*s[6])/1584 + (1434635*s[7])/7128 - (36409*s[8])/21384 - 
       (343505*s[9])/1944 - (193507*s[10])/1944 - (4466201*s[11])/28512 - 
       (2098729*s[12])/28512 - (233137*s[13])/4752 - (2812177*s[14])/14256 - 
       (91843*s[15])/216 - (3717193*s[16])/9504 - (7562741*s[17])/14256 - 
       (475033*s[18])/23328 - (1069451*s[19])/23328 - 
       (32954615*s[20])/64152 - (62161169*s[21])/256608 + 
       (12291527*s[22])/128304 - (428861*s[23])/2376 + 
       (65086795*s[24])/256608 - (162664879*s[25])/1154736 + 
       (382550633*s[26])/2309472 + (4*s[30])/9 + (5*s[34])/9 + (20*s[35])/9 + 
       (43*s[36])/54 - (439*s[37])/216 - (259*s[38])/24 + (100*s[39])/3 - 
       (1627*s[40])/54 + (325*s[41])/12 - (9425*s[42])/216 + 
       (5617*s[43])/594 + (178463*s[44])/9504 + (66133*s[45])/1188 - 
       (48563*s[46])/264 - (953929*s[47])/28512 + (1243013*s[48])/28512 + 
       (197975*s[49])/14256 + (92623*s[50])/594 - (592093*s[51])/14256 - 
       (1159991*s[52])/28512 - (47915*s[53])/264 + (17515*s[54])/528 - 
       (12277357*s[55])/9504 - (4142585*s[56])/14256 - 
       (24865559*s[57])/21384 + (5428763*s[58])/128304 + 
       (13358845*s[59])/128304 + (9947893*s[60])/5346 - 
       (150122983*s[61])/1154736 - (5*s[68])/9 + (5*s[69])/9 + (5*s[74])/18 - 
       (5*s[75])/18 + (19*s[76])/9 - (5*s[77])/9 - (10*s[78])/9 + 
       (20*s[79])/9 - (275*s[80])/54 - (29*s[82])/6 + (20*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - v]*
      ((-323*s[3])/72 - (1903*s[4])/72 + (337*s[5])/198 - (9487*s[6])/528 - 
       (166865*s[7])/1584 + (11831*s[8])/594 + (7733*s[9])/108 + 
       (1801*s[10])/432 + (226663*s[11])/1584 + (47827*s[12])/264 + 
       (146101*s[13])/1056 - (126499*s[14])/1584 + (7711*s[15])/72 + 
       (522293*s[16])/3168 + (191767*s[17])/3168 - (2135*s[18])/1296 + 
       (25045*s[19])/648 + (2808985*s[20])/28512 + (653227*s[21])/28512 - 
       (45784*s[22])/891 - (491099*s[23])/1584 - (407329*s[24])/3564 + 
       (29347367*s[25])/128304 - (22692565*s[26])/256608 + (2*s[32])/9 + 
       (3*s[33])/2 - s[34] + s[36]/3 - (10*s[37])/3 - (779*s[38])/72 + 
       (5165*s[39])/144 - (4877*s[40])/144 + (1073*s[41])/48 - 
       (7009*s[42])/144 - (4369*s[43])/144 + (3895*s[44])/144 + 
       (1307*s[45])/144 + (1001*s[46])/12 - (1453*s[47])/108 - 
       (497*s[48])/216 + (33101*s[49])/216 - (1231*s[50])/24 - 
       (6551*s[51])/432 - (2995*s[52])/216 + (5323*s[53])/216 + 
       (5311*s[54])/72 + (37957*s[55])/432 - (2737*s[56])/144 - 
       (100487*s[57])/216 + (275911*s[58])/1296 - (79729*s[59])/324 - 
       (900779*s[60])/1296 - (44191*s[61])/2592 - (5*s[68])/9 + (5*s[69])/9 - 
       s[76] - (5*s[77])/9 + (2*s[80])/3 + (44*s[82])/3 + (20*s[85])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*
      ((-139*s[2])/48 - (465*s[3])/8 - (10889*s[4])/48 - (90111*s[5])/704 - 
       (804277*s[6])/2112 - (6019823*s[7])/2112 + (4915133*s[8])/19008 + 
       (4019287*s[9])/1728 + (1155857*s[10])/1728 + (20086831*s[11])/6336 + 
       (22156619*s[12])/6336 + (3386689*s[13])/1584 + (178373*s[14])/792 + 
       (1090633*s[15])/288 + (30621853*s[16])/6336 + (2928029*s[17])/792 + 
       (2804171*s[18])/5184 + (1106033*s[19])/2592 + (77784643*s[20])/14256 + 
       (113489461*s[21])/57024 - (5169347*s[22])/3564 - 
       (24744569*s[23])/6336 - (174228161*s[24])/57024 + 
       (4236790901*s[25])/1026432 - (2298067421*s[26])/1026432 - 
       (29*s[30])/12 - (5*s[31])/4 - (15*s[32])/8 - (5*s[33])/4 + 
       (9*s[34])/8 + (169*s[35])/24 + (1025*s[36])/72 - (2503*s[37])/288 - 
       (5393*s[38])/48 + (45383*s[39])/96 - (146837*s[40])/288 + 
       (18649*s[41])/48 - (49531*s[42])/72 - (1271323*s[43])/3168 + 
       (2696087*s[44])/6336 - (2452115*s[45])/6336 + (20921143*s[46])/6336 - 
       (3410095*s[47])/19008 - (82177*s[48])/19008 + (34733005*s[49])/19008 - 
       (3926921*s[50])/1584 - (8569391*s[51])/19008 - (6850013*s[52])/19008 + 
       (33624851*s[53])/19008 - (390787*s[54])/3168 + (69316657*s[55])/6336 + 
       (2050863*s[56])/704 - (33297053*s[57])/9504 + (149496845*s[58])/
        28512 - (307766929*s[59])/57024 - (758452315*s[60])/28512 + 
       (481648757*s[61])/342144 + s[65]/4 + s[66] - (5*s[67])/3 - 
       (7*s[68])/3 - (3*s[69])/2 - (2*s[70])/3 - (61*s[71])/48 - 
       (9*s[72])/4 + (11*s[73])/4 + (137*s[74])/48 - (131*s[75])/48 + 
       (95*s[76])/12 + (3*s[77])/8 - (85*s[78])/12 - (71*s[79])/6 + 
       (263*s[80])/144 + (75*s[82])/4 - (21*s[83])/16 - (77*s[84])/8 + 
       7*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]^2*
      ((5*s[2])/8 + (29*s[3])/48 - (1597*s[4])/96 + (1643*s[5])/132 + 
       (1269*s[6])/88 - (426841*s[7])/6336 + (23489*s[8])/1188 + 
       (33449*s[9])/864 + (10631*s[10])/432 + (22565*s[11])/198 + 
       (1073669*s[12])/6336 + (73591*s[13])/704 - (817031*s[14])/6336 + 
       (9821*s[15])/192 + (60791*s[16])/528 - (10379*s[17])/3168 - 
       (83513*s[18])/2592 + (58877*s[19])/648 + (14629*s[20])/891 - 
       (3683777*s[21])/57024 - (2188445*s[22])/57024 - (176333*s[23])/2112 - 
       (9437111*s[24])/57024 + (103896037*s[25])/513216 - 
       (8373097*s[26])/513216 + s[30]/4 - s[32]/3 + s[33] - (7*s[34])/4 - 
       s[35]/4 - (23*s[36])/12 - (23*s[37])/8 - (473*s[38])/24 + 
       (2405*s[39])/48 - (751*s[40])/16 + (125*s[41])/4 - (483*s[42])/8 - 
       (22921*s[43])/528 + (1345*s[44])/33 - (6055*s[45])/264 + 
       (144395*s[46])/528 - (315*s[47])/176 - (8365*s[48])/264 + 
       (129973*s[49])/528 - (60673*s[50])/264 - (7511*s[51])/264 - 
       (10421*s[52])/528 + (115933*s[53])/792 + (3073*s[54])/44 + 
       (595993*s[55])/792 + (33487*s[56])/396 - (1597609*s[57])/4752 + 
       (5862557*s[58])/14256 - (6084767*s[59])/14256 - (250531*s[60])/99 + 
       (9515795*s[61])/128304 - s[67]/2 - (5*s[68])/12 - s[69]/12 - s[71]/2 + 
       s[72]/2 - s[73]/2 - (3*s[74])/8 + (3*s[75])/8 - s[76]/2 - 
       (2*s[77])/3 + s[78]/2 + (23*s[80])/4 - (33*s[82])/2 + 3*s[84] + 
       7*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*
      ((35*s[2])/12 - (743*s[3])/48 - (1155*s[4])/32 + (185*s[5])/33 + 
       (5573*s[6])/528 - (1578683*s[7])/19008 + (37141*s[8])/891 + 
       (118687*s[9])/2592 - (5245*s[10])/162 + (1060621*s[11])/9504 + 
       (3328417*s[12])/19008 + (253489*s[13])/2112 - (3604741*s[14])/19008 + 
       (16289*s[15])/192 + (150527*s[16])/1584 - (81853*s[17])/2376 - 
       (24217*s[18])/7776 + (36833*s[19])/972 - (2133137*s[20])/85536 - 
       (10244587*s[21])/171072 - (5845243*s[22])/171072 - 
       (1061923*s[23])/2112 - (7997725*s[24])/171072 + 
       (373027967*s[25])/1539648 - (74463875*s[26])/1539648 - (17*s[30])/12 - 
       s[32]/2 - (3*s[33])/4 + (5*s[34])/12 + (37*s[35])/24 + 
       (223*s[36])/72 - (1645*s[37])/288 - (155*s[38])/16 + (2239*s[39])/32 - 
       (20215*s[40])/288 + (653*s[41])/16 - (8069*s[42])/72 - 
       (118373*s[43])/3168 + (318727*s[44])/6336 + (82759*s[45])/6336 + 
       (122557*s[46])/704 - (949271*s[47])/19008 + (1105243*s[48])/19008 + 
       (3809477*s[49])/19008 - (91697*s[50])/792 - (1039879*s[51])/19008 - 
       (751801*s[52])/19008 + (197767*s[53])/2112 - (2701*s[54])/352 + 
       (2275303*s[55])/6336 + (571489*s[56])/19008 - (21975443*s[57])/28512 + 
       (16852529*s[58])/42768 - (76126301*s[59])/171072 - 
       (59533321*s[60])/57024 + (46439605*s[61])/3079296 - s[62]/16 - 
       (11*s[68])/12 + (11*s[69])/12 + s[70] - (25*s[71])/16 - 2*s[73] + 
       (11*s[74])/24 - (11*s[75])/24 + (11*s[76])/6 - (11*s[77])/12 - 
       (17*s[78])/6 + (2*s[79])/3 + (683*s[80])/144 - (21*s[82])/2 + 
       3*s[84] + 7*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]^2*((53*s[2])/12 - (5849*s[3])/96 + (15041*s[4])/64 + 
       (113991*s[5])/704 + (424447*s[6])/1056 + (149010817*s[7])/38016 - 
       (596611*s[8])/1782 - (17598229*s[9])/5184 - (4695923*s[10])/5184 - 
       (165450005*s[11])/38016 - (92432819*s[12])/19008 - 
       (113675389*s[13])/38016 - (11509727*s[14])/38016 - 
       (17127845*s[15])/3456 - (60450439*s[16])/9504 - 
       (57986363*s[17])/12672 - (11054597*s[18])/15552 - 
       (7135255*s[19])/15552 - (1291013167*s[20])/171072 - 
       (933089099*s[21])/342144 + (724734925*s[22])/342144 + 
       (46905263*s[23])/9504 + (174603749*s[24])/42768 - 
       (17236960775*s[25])/3079296 + (9289973303*s[26])/3079296 + s[29]/4 + 
       s[30] + (73*s[31])/12 + (5*s[32])/24 + (149*s[33])/24 - 
       (283*s[34])/24 + s[35]/8 - (481*s[36])/72 + (3059*s[37])/288 + 
       (464*s[38])/3 - (30931*s[39])/48 + (105095*s[40])/144 - 
       (14123*s[41])/24 + (135049*s[42])/144 + (80381*s[43])/144 - 
       (332411*s[44])/576 + (351167*s[45])/576 - (2833129*s[46])/576 + 
       (405133*s[47])/1728 + (52129*s[48])/1728 - (4288951*s[49])/1728 + 
       (1086817*s[50])/288 + (1101173*s[51])/1728 + (924527*s[52])/1728 - 
       (4474601*s[53])/1728 + (4301*s[54])/36 - (9437405*s[55])/576 - 
       (2539849*s[56])/576 + (4599301*s[57])/864 - (3419239*s[58])/432 + 
       (13794335*s[59])/1728 + (206694581*s[60])/5184 - 
       (197790751*s[61])/93312 + s[64]/8 + (11*s[65])/48 + (11*s[66])/12 - 
       (5*s[67])/2 - (3*s[68])/2 - (7*s[69])/2 - (9*s[70])/8 - (4*s[71])/3 + 
       (31*s[72])/12 - (53*s[73])/12 - (35*s[74])/16 + (43*s[75])/16 - 
       (47*s[76])/6 - (13*s[77])/3 + (19*s[78])/4 + (245*s[79])/3 - 
       (2269*s[80])/144 - (373*s[82])/4 - (17*s[83])/16 + (151*s[84])/8 + 
       7*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*((-13*s[2])/3 + (47*s[3])/3 - (1711*s[4])/12 + 
       (2813*s[5])/132 - (4801*s[6])/66 - (2307179*s[7])/2376 + 
       (210409*s[8])/1782 + (253051*s[9])/324 + (36299*s[10])/324 + 
       (2839691*s[11])/2376 + (898561*s[12])/594 + (825137*s[13])/792 - 
       (902593*s[14])/2376 + (71245*s[15])/72 + (572981*s[16])/396 + 
       (1451947*s[17])/2376 + (19975*s[18])/486 + (58000*s[19])/243 + 
       (7421171*s[20])/5346 + (6234059*s[21])/21384 - 
       (11402665*s[22])/21384 - (669017*s[23])/396 - (2994260*s[24])/2673 + 
       (347001143*s[25])/192456 - (134070791*s[26])/192456 + 3*s[30] - 
       (8*s[31])/3 - s[32] - 5*s[33] + (16*s[34])/3 - s[35] + (77*s[36])/18 + 
       (19*s[37])/18 - (254*s[38])/3 + (2279*s[39])/8 - (24731*s[40])/72 + 
       (6797*s[41])/24 - (26899*s[42])/72 - (249913*s[43])/792 + 
       (538883*s[44])/1584 - (124033*s[45])/396 + (214429*s[46])/88 + 
       (35753*s[47])/4752 - (906793*s[48])/4752 + (6923545*s[49])/4752 - 
       (387037*s[50])/198 - (1251293*s[51])/4752 - (925673*s[52])/4752 + 
       (1032179*s[53])/792 + (4963*s[54])/66 + (13655339*s[55])/1584 + 
       (9343907*s[56])/4752 - (2580023*s[57])/3564 + (143614633*s[58])/
        42768 - (153597055*s[59])/42768 - (617118715*s[60])/28512 + 
       (357705043*s[61])/384912 + 5*s[68] - 3*s[69] + 2*s[70] - 4*s[73] - 
       (14*s[76])/3 + (11*s[77])/3 + (7*s[78])/3 - (146*s[79])/3 + 
       (148*s[80])/9 + 10*s[82] + 8*s[85]) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*Omega2[w, u, v]*(-s[3]/3 - (17*s[4])/3 + (73*s[5])/66 + 
       (219*s[6])/11 + (12517*s[7])/88 + (2377*s[8])/396 - (4345*s[9])/36 - 
       (2567*s[10])/36 - (22229*s[11])/132 - (7981*s[12])/44 - 
       (3616*s[13])/33 - (12295*s[14])/132 - (1301*s[15])/8 - 
       (23153*s[16])/88 - (9315*s[17])/44 - (571*s[18])/54 - 
       (5371*s[19])/108 - (425305*s[20])/1188 - (37942*s[21])/297 + 
       (46339*s[22])/594 - (13329*s[23])/88 + (557779*s[24])/2376 - 
       (4030469*s[25])/21384 + (2549807*s[26])/21384 - s[32]/3 - 2*s[37] + 
       (17*s[38])/3 + (23*s[39])/3 - (11*s[40])/3 + (5*s[41])/2 - 
       (88*s[42])/3 + (700*s[43])/33 - (5693*s[44])/264 + (1183*s[45])/33 - 
       (1665*s[46])/11 - (27037*s[47])/792 + (70247*s[48])/792 - 
       (85319*s[49])/792 + (1299*s[50])/11 - (14351*s[51])/792 - 
       (12467*s[52])/792 - (24635*s[53])/396 - (1307*s[54])/33 - 
       (468221*s[55])/792 - (40651*s[56])/264 - (89515*s[57])/198 - 
       (203207*s[58])/2376 + (211979*s[59])/2376 + (8694725*s[60])/4752 - 
       (122393*s[61])/1782 - (2*s[68])/3 + (2*s[69])/3 - (2*s[77])/3 + 
       50*s[82] + 8*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      Omega2[w, u, v]*((2*s[2])/3 - (19*s[3])/6 - (39*s[4])/4 - 
       (829*s[5])/132 + (19*s[6])/66 + (136139*s[7])/2376 + 
       (9113*s[8])/1782 - (15925*s[9])/324 - (17411*s[10])/324 - 
       (147767*s[11])/2376 - (65795*s[12])/1188 - (13901*s[13])/792 - 
       (178481*s[14])/2376 - (6253*s[15])/72 - (49391*s[16])/396 - 
       (314029*s[17])/2376 + (2542*s[18])/243 - (21359*s[19])/486 - 
       (2117059*s[20])/10692 - (1125023*s[21])/21384 + (700771*s[22])/21384 - 
       (97687*s[23])/396 + (798451*s[24])/5346 - (10092365*s[25])/192456 + 
       (6876467*s[26])/192456 - (2*s[30])/3 + (2*s[34])/3 + (8*s[35])/3 + 
       (14*s[36])/9 + (10*s[37])/9 - s[38] + (129*s[39])/4 - 
       (1001*s[40])/36 + (75*s[41])/4 - (2119*s[42])/36 + (1061*s[43])/396 + 
       (1271*s[44])/792 + (11119*s[45])/396 - (567*s[46])/11 - 
       (92665*s[47])/2376 + (183281*s[48])/2376 - (15683*s[49])/2376 + 
       (6344*s[50])/99 - (57413*s[51])/2376 - (82925*s[52])/2376 - 
       (2405*s[53])/66 - (691*s[54])/22 - (325015*s[55])/792 - 
       (193153*s[56])/2376 - (689512*s[57])/891 + (2739859*s[58])/21384 - 
       (2628763*s[59])/21384 + (14931515*s[60])/14256 - 
       (3773281*s[61])/96228 - (2*s[68])/3 + (2*s[69])/3 + s[74]/3 - 
       s[75]/3 + (4*s[76])/3 - (2*s[77])/3 - (4*s[78])/3 + (8*s[79])/3 - 
       (28*s[80])/9 + 50*s[82] + 8*s[85]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((59*s[2])/4 + (431*s[3])/8 + (6655*s[4])/16 + (351*s[5])/44 + 
       (90997*s[6])/176 + (12214601*s[7])/3168 - (1888855*s[8])/4752 - 
       (331805*s[9])/108 - (177233*s[10])/216 - (14292535*s[11])/3168 - 
       (4213607*s[12])/792 - (10953065*s[13])/3168 + (992117*s[14])/3168 - 
       (1253143*s[15])/288 - (1234529*s[16])/198 - (1360617*s[17])/352 - 
       (200605*s[18])/324 - (772331*s[19])/1296 - (95078279*s[20])/14256 - 
       (62467117*s[21])/28512 + (57211577*s[22])/28512 + 
       (2314337*s[23])/396 + (29022251*s[24])/7128 - (791468759*s[25])/
        128304 + (384540059*s[26])/128304 - 5*s[30] + 3*s[31] + s[32]/2 + 
       (23*s[33])/8 - 3*s[34] - s[35]/2 - (25*s[36])/2 + (67*s[37])/4 + 
       (337*s[38])/2 - (2859*s[39])/4 + (3273*s[40])/4 - 654*s[41] + 
       (4187*s[42])/4 + (24557*s[43])/44 - (110945*s[44])/176 + 
       (34855*s[45])/88 - (364499*s[46])/88 + (167099*s[47])/528 - 
       (36577*s[48])/528 - (1342841*s[49])/528 + (33701*s[50])/11 + 
       (412415*s[51])/528 + (346453*s[52])/528 - (247021*s[53])/132 + 
       (4407*s[54])/22 - (6086519*s[55])/528 - (589797*s[56])/176 + 
       (703061*s[57])/88 - (11876857*s[58])/1584 + (11341147*s[59])/1584 + 
       (103331777*s[60])/3168 - (22374107*s[61])/14256 - s[65] + s[67] + 
       12*s[68] + 8*s[70] + s[71] + s[72] - 13*s[73] - (15*s[74])/4 + 
       (15*s[75])/4 - 10*s[76] - (25*s[77])/2 + s[78] + 94*s[79] - 
       (55*s[80])/2 - 158*s[82] + (9*s[83])/2 + 15*s[84] + 8*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((23*s[2])/4 - (31*s[3])/8 + (2473*s[4])/16 + (536*s[5])/11 + 
       (21807*s[6])/176 + (2783399*s[7])/3168 - (951325*s[8])/4752 - 
       (73235*s[9])/108 + (39379*s[10])/216 - (3816949*s[11])/3168 - 
       (1393097*s[12])/792 - (3506747*s[13])/3168 + (1448111*s[14])/3168 - 
       (114217*s[15])/288 - (815525*s[16])/792 + (175567*s[17])/1056 - 
       (30862*s[18])/81 + (253543*s[19])/1296 - (15851549*s[20])/14256 - 
       (14410735*s[21])/28512 + (12441995*s[22])/28512 + 
       (2746915*s[23])/792 + (505619*s[24])/1782 - (219623177*s[25])/128304 + 
       (111717641*s[26])/128304 - 2*s[29] - 3*s[30] - 3*s[31] + 4*s[32] + 
       (55*s[33])/8 + 7*s[34] - (33*s[35])/2 + (15*s[36])/2 + (44*s[37])/3 + 
       147*s[38] - (1109*s[39])/2 + 560*s[40] - 399*s[41] + (3157*s[42])/4 + 
       (5653*s[43])/22 - (58967*s[44])/176 + (5384*s[45])/33 - 
       (69398*s[46])/33 + (242773*s[47])/528 - (227147*s[48])/528 - 
       (675871*s[49])/528 + (27223*s[50])/22 + (102491*s[51])/176 + 
       (294623*s[52])/528 - (589511*s[53])/792 + (62461*s[54])/132 - 
       (2211029*s[55])/528 - (2905559*s[56])/1584 + (19298221*s[57])/2376 - 
       (72548749*s[58])/14256 + (64530181*s[59])/14256 + 
       (42535313*s[60])/3168 - (56478203*s[61])/64152 - 8*s[63] - 2*s[64] - 
       2*s[65] + 2*s[66] + 3*s[67] + 14*s[68] + 8*s[70] + (7*s[71])/2 + 
       5*s[72] - 23*s[73] - (23*s[74])/4 + (21*s[75])/4 - 8*s[76] - 
       (45*s[77])/2 + 9*s[78] - 22*s[79] - (35*s[80])/3 - 158*s[82] + 
       (9*s[83])/2 + 15*s[84] + 8*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*(10*s[2] + (142*s[3])/3 + 
       (2801*s[4])/6 + (517*s[5])/3 + (7597*s[6])/12 + (1246117*s[7])/216 - 
       (170959*s[8])/324 - (1555357*s[9])/324 - (465935*s[10])/324 - 
       (685637*s[11])/108 - (1515137*s[12])/216 - (306575*s[13])/72 - 
       (61489*s[14])/216 - (61197*s[15])/8 - (38763*s[16])/4 - 
       (788041*s[17])/108 - (250916*s[18])/243 - (216289*s[19])/243 - 
       (2682236*s[20])/243 - (7391275*s[21])/1944 + (5847887*s[22])/1944 + 
       (550675*s[23])/72 + (11948585*s[24])/1944 - (18179636*s[25])/2187 + 
       (37853219*s[26])/8748 - s[30]/3 + (10*s[31])/3 + (13*s[32])/6 + 
       (11*s[33])/4 - (19*s[34])/3 - (2*s[35])/3 - (184*s[36])/9 + 
       (191*s[37])/18 + (557*s[38])/3 - (4957*s[39])/6 + (16637*s[40])/18 - 
       753*s[41] + (22759*s[42])/18 + (129247*s[43])/198 - 
       (137911*s[44])/198 + (123815*s[45])/198 - (184774*s[46])/33 + 
       (433669*s[47])/1188 - (157889*s[48])/1188 - (854239*s[49])/297 + 
       (426500*s[50])/99 + (530683*s[51])/594 + (428011*s[52])/594 - 
       (584077*s[53])/198 + (1838*s[54])/11 - (7134599*s[55])/396 - 
       (2883211*s[56])/594 + (6909398*s[57])/891 - (50183999*s[58])/5346 + 
       (25135735*s[59])/2673 + (156507377*s[60])/3564 - 
       (224598457*s[61])/96228 + s[68] + s[69] - 2*s[71] + 4*s[72] - 
       2*s[73] - (16*s[74])/3 + (16*s[75])/3 - 4*s[76] - s[77]/3 + 
       (8*s[78])/3 + (272*s[79])/3 - (70*s[80])/9 - 212*s[82] + 48*s[84] + 
       8*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*((53*s[2])/6 + (283*s[3])/24 + (50345*s[4])/96 + 
       (1134517*s[5])/3168 + (5407597*s[6])/6336 + (153317563*s[7])/19008 - 
       (4431437*s[8])/6336 - (3925289*s[9])/576 - (144905*s[10])/72 - 
       (112549381*s[11])/12672 - (124118179*s[12])/12672 - 
       (6995897*s[13])/1188 - (590461*s[14])/792 - (6114973*s[15])/576 - 
       (8003143*s[16])/594 - (386813099*s[17])/38016 - (7898333*s[18])/5184 - 
       (5766673*s[19])/5184 - (449848901*s[20])/28512 - 
       (162555037*s[21])/28512 + (80708785*s[22])/19008 + 
       (389766623*s[23])/38016 + (325176799*s[24])/38016 - 
       (11694017971*s[25])/1026432 + (6336975655*s[26])/1026432 + 
       (73*s[30])/24 + (17*s[31])/4 - (3*s[32])/2 + (187*s[33])/96 - 
       (53*s[34])/8 - (91*s[35])/6 - (200*s[36])/9 + (73*s[37])/2 + 
       (1235*s[38])/4 - (182677*s[39])/144 + (67103*s[40])/48 - 
       (313055*s[41])/288 + (535969*s[42])/288 + (49157*s[43])/48 - 
       (314563*s[44])/288 + (38309*s[45])/36 - (428033*s[46])/48 + 
       (16199*s[47])/32 - (7337*s[48])/96 - (1343731*s[49])/288 + 
       (328007*s[50])/48 + (1093987*s[51])/864 + (301205*s[52])/288 - 
       (2039521*s[53])/432 + (11945*s[54])/48 - (25341779*s[55])/864 - 
       (3345923*s[56])/432 + (6804139*s[57])/648 - (112775585*s[58])/7776 + 
       (57018121*s[59])/3888 + (30938141*s[60])/432 - 
       (525445981*s[61])/139968 - s[65]/12 - s[66]/3 + (2*s[67])/3 + 
       (19*s[68])/6 - (11*s[69])/6 + s[70]/6 - (2*s[71])/3 + (14*s[72])/3 - 
       4*s[73] - (20*s[74])/3 + (77*s[75])/12 - (22*s[76])/3 + s[77] + 
       10*s[78] + (673*s[79])/6 - (379*s[80])/18 - (277*s[82])/4 + s[83]/4 + 
       (105*s[84])/2 + 9*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*((629*s[2])/48 + (889*s[3])/96 + 
       (329483*s[4])/576 + (492377*s[5])/1584 + (456437*s[6])/528 + 
       (306890083*s[7])/38016 - (21243353*s[8])/28512 - 
       (35217797*s[9])/5184 - (5054753*s[10])/2592 - (169511525*s[11])/
        19008 - (377107979*s[12])/38016 - (76061321*s[13])/12672 - 
       (19248877*s[14])/38016 - (36332461*s[15])/3456 - 
       (84844043*s[16])/6336 - (47039011*s[17])/4752 - 
       (23639425*s[18])/15552 - (2100577*s[19])/1944 - 
       (2659514519*s[20])/171072 - (1896507859*s[21])/342144 + 
       (1454254385*s[22])/342144 + (45332179*s[23])/4224 + 
       (2894670827*s[24])/342144 - (35583441427*s[25])/3079296 + 
       (18995926447*s[26])/3079296 + (5*s[30])/3 + (17*s[31])/4 - 
       (49*s[32])/24 + (575*s[33])/96 - (21*s[34])/2 - (127*s[35])/24 - 
       (581*s[36])/24 + (5365*s[37])/144 + (11077*s[38])/36 - 
       (15763*s[39])/12 + (11579*s[40])/8 - (326249*s[41])/288 + 
       (561097*s[42])/288 + (75533*s[43])/72 - (323545*s[44])/288 + 
       (307441*s[45])/288 - (293015*s[46])/32 + (236441*s[47])/432 - 
       (26897*s[48])/216 - (4100215*s[49])/864 + (42047*s[50])/6 + 
       (383579*s[51])/288 + (940511*s[52])/864 - (4156885*s[53])/864 + 
       (17759*s[54])/72 - (8603813*s[55])/288 - (3454295*s[56])/432 + 
       (29584093*s[57])/2592 - (117310829*s[58])/7776 + 
       (117892283*s[59])/7776 + (378094423*s[60])/5184 - 
       (270751019*s[61])/69984 - s[65]/12 - s[66]/3 + (2*s[67])/3 + 
       (41*s[68])/12 - (25*s[69])/12 - s[70]/12 - (5*s[71])/12 + 
       (73*s[72])/12 - (5*s[73])/12 - (317*s[74])/48 + (317*s[75])/48 - 
       (85*s[76])/12 + (13*s[77])/24 + (91*s[78])/12 + (362*s[79])/3 - 
       (1859*s[80])/72 - (273*s[82])/4 + s[83]/4 + (105*s[84])/2 + 9*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      ((47*s[2])/288 + (5311*s[3])/576 + (133931*s[4])/1152 + 
       (13817*s[5])/264 + (2366887*s[6])/12672 + (365339345*s[7])/228096 - 
       (16937851*s[8])/114048 - (6911455*s[9])/5184 - (2027465*s[10])/5184 - 
       (45156487*s[11])/25344 - (75680743*s[12])/38016 - 
       (278282035*s[13])/228096 - (2394241*s[14])/25344 - 
       (42624275*s[15])/20736 - (302891663*s[16])/114048 - 
       (444745817*s[17])/228096 - (737875*s[18])/2592 - (825685*s[19])/3456 - 
       (348068693*s[20])/114048 - (732633701*s[21])/684288 + 
       (572933693*s[22])/684288 + (58202845*s[23])/28512 + 
       (73262195*s[24])/42768 - (7174078291*s[25])/3079296 + 
       (3787651981*s[26])/3079296 + s[30]/6 + (31*s[31])/72 - (19*s[32])/72 + 
       (67*s[33])/192 - (47*s[34])/72 + (79*s[35])/144 - (25*s[36])/8 + 
       (821*s[37])/216 + (8039*s[38])/144 - (133883*s[39])/576 + 
       (50297*s[40])/192 - (39739*s[41])/192 + (193571*s[42])/576 + 
       (13207*s[43])/64 - (253013*s[44])/1152 + (213547*s[45])/864 - 
       (3248993*s[46])/1728 + (258863*s[47])/3456 + (128405*s[48])/3456 - 
       (3263489*s[49])/3456 + (416627*s[50])/288 + (269791*s[51])/1152 + 
       (653287*s[52])/3456 - (5167915*s[53])/5184 + (8861*s[54])/864 - 
       (21905603*s[55])/3456 - (17153209*s[56])/10368 + 
       (26339321*s[57])/15552 - (273835745*s[58])/93312 + 
       (276555455*s[59])/93312 + (319046611*s[60])/20736 - 
       (692080571*s[61])/839808 + s[67]/4 - s[68]/4 + (3*s[69])/4 - 
       s[70]/36 - s[71]/4 + (5*s[72])/8 + (5*s[73])/8 - (347*s[74])/288 + 
       (347*s[75])/288 + s[76]/8 - (145*s[77])/144 + (25*s[78])/72 + 
       (175*s[79])/9 - (421*s[80])/108 + 44*s[82] + (97*s[84])/12 + 
       (21*s[85])/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*
      ((-3*s[2])/32 - (887*s[3])/576 + (119737*s[4])/1152 + 
       (196627*s[5])/3168 + (2058937*s[6])/12672 + (348731201*s[7])/228096 - 
       (45404005*s[8])/342144 - (9977873*s[9])/7776 - (768061*s[10])/1944 - 
       (384906151*s[11])/228096 - (213263449*s[12])/114048 - 
       (253369211*s[13])/228096 - (39383761*s[14])/228096 - 
       (41661859*s[15])/20736 - (294292861*s[16])/114048 - 
       (49079537*s[17])/25344 - (13558421*s[18])/46656 - 
       (19765169*s[19])/93312 - (3118397009*s[20])/1026432 - 
       (2237611963*s[21])/2052864 + (1656533495*s[22])/2052864 + 
       (54646289*s[23])/28512 + (213776291*s[24])/128304 - 
       (19875107849*s[25])/9237888 + (10821617825*s[26])/9237888 - 
       (7*s[30])/72 - (59*s[31])/72 + s[32]/12 - (733*s[33])/576 + 
       (79*s[34])/24 + (197*s[35])/144 - (13*s[36])/9 + (1123*s[37])/864 + 
       (4075*s[38])/72 - (134479*s[39])/576 + (51853*s[40])/192 - 
       (41801*s[41])/192 + (65227*s[42])/192 + (1338985*s[43])/6336 - 
       (117331*s[44])/528 + (4269341*s[45])/19008 - (2172779*s[46])/1188 + 
       (321043*s[47])/4752 + (1020601*s[48])/19008 - (4498045*s[49])/4752 + 
       (1490749*s[50])/1056 + (4358471*s[51])/19008 + (3552311*s[52])/19008 - 
       (27445499*s[53])/28512 + (548513*s[54])/9504 - (3220853*s[55])/528 - 
       (23730083*s[56])/14256 + (153923023*s[57])/85536 - 
       (1481472121*s[58])/513216 + (372209815*s[59])/128304 + 
       (1714819463*s[60])/114048 - (7359972329*s[61])/9237888 + s[65]/8 + 
       s[66]/2 - (3*s[67])/4 - (7*s[68])/6 - s[69]/3 - (7*s[70])/36 - 
       s[71]/16 + (7*s[72])/72 - (25*s[73])/72 - (125*s[74])/288 + 
       (125*s[75])/288 - s[76]/8 + s[77]/144 - (13*s[78])/8 + 
       (1181*s[79])/36 - (5069*s[80])/432 + (49*s[82])/2 - (3*s[83])/8 + 
       (40*s[84])/3 + (21*s[85])/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - v]*(s[3] - s[4]/2 + (2897*s[5])/88 + 
       (22285*s[6])/792 + (4781803*s[7])/9504 - (364523*s[8])/14256 - 
       (578257*s[9])/1296 - (278075*s[10])/1296 - (2378683*s[11])/4752 - 
       (2201813*s[12])/4752 - (1201799*s[13])/4752 - (836587*s[14])/4752 - 
       (78199*s[15])/96 - (8678293*s[16])/9504 - (29708*s[17])/33 - 
       (60335*s[18])/972 - (568099*s[19])/3888 - (6056213*s[20])/5346 - 
       (17514943*s[21])/42768 + (2820179*s[22])/10692 + (494141*s[23])/9504 + 
       (55445611*s[24])/85536 - (453701519*s[25])/769824 + 
       (272639915*s[26])/769824 - s[32]/2 + (55*s[37])/36 + (85*s[38])/36 - 
       (439*s[39])/36 + (655*s[40])/36 - (209*s[41])/18 + (47*s[42])/3 + 
       (5525*s[43])/132 - (33793*s[44])/1056 + (3358*s[45])/33 - 
       (210095*s[46])/396 - (229487*s[47])/9504 + (500869*s[48])/9504 - 
       (2027329*s[49])/9504 + (31859*s[50])/66 + (39685*s[51])/3168 - 
       (122509*s[52])/9504 - (1756483*s[53])/4752 - (8984*s[54])/99 - 
       (22958279*s[55])/9504 - (455467*s[56])/1056 - (1058389*s[57])/1188 - 
       (12647593*s[58])/28512 + (16307257*s[59])/28512 + 
       (285681355*s[60])/57024 - (11250389*s[61])/42768 - s[68] + s[69] - 
       s[77] + (145*s[82])/3 + 12*s[85]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*(-s[3] - 13*s[4] + 
       (244*s[5])/11 + (991*s[6])/44 + (37663*s[7])/132 + (51*s[8])/44 - 
       263*s[9] - (527*s[10])/4 - (25513*s[11])/88 - (24219*s[12])/88 - 
       (9181*s[13])/66 - (1835*s[14])/11 - (5099*s[15])/12 - 
       (16934*s[16])/33 - (127361*s[17])/264 - (641*s[18])/9 - 
       (385*s[19])/9 - (289585*s[20])/396 - (120647*s[21])/396 + 
       (10301*s[22])/66 - (8497*s[23])/264 + (30559*s[24])/88 - 
       (2127661*s[25])/7128 + (1658221*s[26])/7128 - s[32]/2 + 5*s[37] - 
       s[38] + (19*s[39])/2 - (7*s[40])/2 + 3*s[41] - 28*s[42] + 
       (321*s[43])/22 - (353*s[44])/22 + (1471*s[45])/22 - (3231*s[46])/11 - 
       (1843*s[47])/44 + (2843*s[48])/44 - (4063*s[49])/44 + 
       (5339*s[50])/22 - (3845*s[51])/132 - (241*s[52])/22 - 
       (3869*s[53])/22 - (771*s[54])/22 - (57373*s[55])/44 - 
       (13169*s[56])/44 - (37475*s[57])/66 - (104857*s[58])/396 + 
       (113875*s[59])/396 + (249787*s[60])/88 - (307475*s[61])/1782 - s[68] + 
       s[69] - s[77] + 54*s[82] + 12*s[85]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*(s[2] - (13*s[3])/4 - 
       (195*s[4])/8 + (49*s[5])/4 + (93*s[6])/8 + (3439*s[7])/48 + 
       (3301*s[8])/216 - (2131*s[9])/27 - (8081*s[10])/108 - 
       (7247*s[11])/144 - (413*s[12])/72 + (1333*s[13])/144 - 
       (23813*s[14])/144 - (21953*s[15])/144 - (12061*s[16])/72 - 
       (35057*s[17])/144 - (6227*s[18])/324 - (6467*s[19])/648 - 
       (196417*s[20])/648 - (188951*s[21])/1296 + (57115*s[22])/1296 - 
       (5497*s[23])/18 + (43285*s[24])/324 + (9130*s[25])/729 + 
       (171155*s[26])/2916 - s[30] + s[34] + 4*s[35] + 2*s[36] - 
       (91*s[37])/12 - (33*s[38])/2 + (201*s[39])/4 - (177*s[40])/4 + 
       34*s[41] - (155*s[42])/2 - (779*s[43])/44 + (1901*s[44])/88 + 
       (3205*s[45])/264 + (10739*s[46])/264 - (12943*s[47])/264 + 
       (17351*s[48])/264 + (21625*s[49])/264 - (383*s[50])/22 - 
       (6041*s[51])/88 - (12215*s[52])/264 + (3277*s[53])/792 - 
       (2225*s[54])/132 - (13087*s[55])/88 - (41785*s[56])/792 - 
       (888529*s[57])/1188 + (818801*s[58])/3564 - (1561489*s[59])/7128 - 
       (2815*s[60])/792 - (4086685*s[61])/128304 - s[68] + s[69] + s[71]/2 + 
       s[74]/2 - s[75]/2 + 2*s[76] - s[77] - 2*s[78] + 4*s[79] - 
       (43*s[80])/6 + 54*s[82] + 12*s[85]) + HPL[{1}, 1 - u]^4*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*(s[2] - (7*s[3])/8 - (25*s[4])/4 + 
       (3283*s[5])/132 + (40903*s[6])/1056 + (972395*s[7])/3168 - 
       (5663*s[8])/1056 - (25759*s[9])/96 - (823*s[10])/6 - 
       (648085*s[11])/2112 - (580015*s[12])/2112 - (58757*s[13])/396 - 
       (3873*s[14])/22 - (143059*s[15])/288 - (1839685*s[16])/3168 - 
       (3750289*s[17])/6336 - (10693*s[18])/216 - (15317*s[19])/216 - 
       (1780379*s[20])/2376 - (2854891*s[21])/9504 + (509009*s[22])/3168 - 
       (96143*s[23])/6336 + (2644591*s[24])/6336 - (56608163*s[25])/171072 + 
       (40423733*s[26])/171072 - s[30]/2 + s[34] + (61*s[35])/24 + 
       (9*s[36])/8 - (59*s[37])/18 - (29*s[38])/8 + (281*s[39])/24 - 
       (39*s[40])/8 - s[41]/24 - (1043*s[42])/48 + (1813*s[43])/88 - 
       (16081*s[44])/1056 + (17653*s[45])/264 - (27517*s[46])/88 - 
       (11263*s[47])/352 + (22661*s[48])/352 - (49675*s[49])/528 + 
       (11823*s[50])/44 - (24127*s[51])/1584 - (7275*s[52])/352 - 
       (82849*s[53])/396 - (15581*s[54])/528 - (4662107*s[55])/3168 - 
       (539939*s[56])/1584 - (3273427*s[57])/4752 - (3368815*s[58])/14256 + 
       (2088881*s[59])/7128 + (9697433*s[60])/3168 - 
       (23677303*s[61])/128304 - s[68]/2 + s[69]/2 + s[74]/2 - s[75]/2 + 
       s[76] - s[77]/2 - s[78] + 2*s[79] - (17*s[80])/6 + (231*s[82])/4 + 
       12*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - u]*
      ((19*s[2])/36 + (17*s[3])/8 + (25*s[4])/12 + (18121*s[5])/528 + 
       (21245*s[6])/352 + (43897*s[7])/88 - (179303*s[8])/9504 - 
       (375919*s[9])/864 - (10133*s[10])/54 - (3319757*s[11])/6336 - 
       (3289123*s[12])/6336 - (936367*s[13])/3168 - (166501*s[14])/792 - 
       (25991*s[15])/36 - (1410551*s[16])/1584 - (5106467*s[17])/6336 - 
       (261659*s[18])/2592 - (215491*s[19])/2592 - (32589565*s[20])/28512 - 
       (12799003*s[21])/28512 + (7476317*s[22])/28512 + 
       (1233535*s[23])/6336 + (34185343*s[24])/57024 - 
       (308376587*s[25])/513216 + (201095885*s[26])/513216 - (5*s[37])/2 + 
       (151*s[38])/24 - (381*s[39])/16 + (493*s[40])/16 - (1241*s[41])/48 + 
       (313*s[42])/12 + (24253*s[43])/528 - (47419*s[44])/1056 + 
       (16039*s[45])/176 - (69505*s[46])/132 - (54707*s[47])/3168 + 
       (220909*s[48])/3168 - (697399*s[49])/3168 + (112451*s[50])/264 + 
       (7587*s[51])/352 + (29309*s[52])/3168 - (475495*s[53])/1584 - 
       (1885*s[54])/66 - (721689*s[55])/352 - (526777*s[56])/1056 - 
       (571727*s[57])/1584 - (1915201*s[58])/3168 + (1994783*s[59])/3168 + 
       (90417193*s[60])/19008 - (11518801*s[61])/42768 - s[68]/2 + s[69]/2 + 
       s[73] - s[77]/2 + (249*s[82])/4 + 12*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*
      (s[2] - (21*s[3])/4 - (121*s[4])/8 + (5375*s[5])/176 + 
       (34475*s[6])/1584 + (2086853*s[7])/4752 - (225239*s[8])/14256 - 
       (520765*s[9])/1296 - (279029*s[10])/1296 - (1000013*s[11])/2376 - 
       (1722689*s[12])/4752 - (838709*s[13])/4752 - (1030753*s[14])/4752 - 
       (2935*s[15])/4 - (485185*s[16])/594 - (1354975*s[17])/1584 - 
       (297689*s[18])/3888 - (211379*s[19])/1944 - (22715147*s[20])/21384 - 
       (8499275*s[21])/21384 + (10021607*s[22])/42768 - (46433*s[23])/1188 + 
       (11980027*s[24])/21384 - (345695759*s[25])/769824 + 
       (231453971*s[26])/769824 - s[30] + s[34] + 4*s[35] + (7*s[36])/3 - 
       (29*s[37])/9 - (167*s[38])/36 + (101*s[39])/144 + (859*s[40])/144 - 
       (511*s[41])/144 + (113*s[42])/16 + (5549*s[43])/176 - 
       (18781*s[44])/1056 + (14045*s[45])/176 - (337099*s[46])/792 - 
       (222803*s[47])/9504 + (564775*s[48])/9504 - (1327387*s[49])/9504 + 
       (13591*s[50])/33 + (14131*s[51])/1056 - (216367*s[52])/9504 - 
       (737501*s[53])/2376 - (8282*s[54])/99 - (18613607*s[55])/9504 - 
       (1095227*s[56])/3168 - (54437*s[57])/66 - (8876447*s[58])/28512 + 
       (11342459*s[59])/28512 + (229257139*s[60])/57024 - 
       (3698887*s[61])/16038 - s[68] + s[69] + s[74]/2 - s[75]/2 + 2*s[76] - 
       s[77] - 2*s[78] + 4*s[79] - (14*s[80])/3 + (199*s[82])/3 + 12*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((35*s[2])/2 + 82*s[3] + (717*s[4])/2 + (1035*s[5])/4 + 721*s[6] + 
       (139987*s[7])/24 - (1727*s[8])/4 - (19317*s[9])/4 - (3171*s[10])/2 - 
       (13041*s[11])/2 - (57061*s[12])/8 - (105653*s[13])/24 - 
       (6217*s[14])/8 - (186577*s[15])/24 - (119161*s[16])/12 - 
       (92429*s[17])/12 - (34829*s[18])/36 - (10006*s[19])/9 - 
       (103463*s[20])/9 - (300137*s[21])/72 + (24093*s[22])/8 + 
       (145219*s[23])/24 + (163613*s[24])/24 - (2706757*s[25])/324 + 
       (1477159*s[26])/324 + (3*s[32])/2 + 35*s[37] + 231*s[38] - 709*s[39] + 
       753*s[40] - 573*s[41] + (1859*s[42])/2 + (7695*s[43])/11 - 
       (29811*s[44])/44 + (8032*s[45])/11 - (61714*s[46])/11 + 
       (5297*s[47])/33 + (8729*s[48])/33 - (205747*s[49])/66 + 
       (45332*s[50])/11 + (13227*s[51])/22 + (71701*s[52])/132 - 
       (62649*s[53])/22 + (888*s[54])/11 - (608402*s[55])/33 - 
       (317291*s[56])/66 + (1870435*s[57])/396 - (5184961*s[58])/594 + 
       (5284141*s[59])/594 + (9250013*s[60])/198 - (25206509*s[61])/10692 - 
       5*s[68] - 3*s[69] + 4*s[73] - 5*s[77] + 78*s[82] + 12*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      (s[2] + (107*s[3])/2 + (1161*s[4])/4 + (2205*s[5])/11 + 
       (11675*s[6])/22 + (1187533*s[7])/264 - (207683*s[8])/594 - 
       (200965*s[9])/54 - (125299*s[10])/108 - (2000879*s[11])/396 - 
       (4450241*s[12])/792 - (2725933*s[13])/792 - (372331*s[14])/792 - 
       (421193*s[15])/72 - (749330*s[16])/99 - (2227943*s[17])/396 - 
       (258283*s[18])/324 - (243569*s[19])/324 - (7885046*s[20])/891 - 
       (22989955*s[21])/7128 + (16708733*s[22])/7128 + (4148981*s[23])/792 + 
       (36229511*s[24])/7128 - (415707373*s[25])/64152 + 
       (226996849*s[26])/64152 + 3*s[30] + s[34] - 14*s[35] - (17*s[36])/2 + 
       45*s[37] + (395*s[38])/2 - (5141*s[39])/8 + (5505*s[40])/8 - 
       (4091*s[41])/8 + (6891*s[42])/8 + (52675*s[43])/88 - 
       (104573*s[44])/176 + (26271*s[45])/44 - (415823*s[46])/88 + 
       (33397*s[47])/176 + (23695*s[48])/176 - (468031*s[49])/176 + 
       (76371*s[50])/22 + (95803*s[51])/176 + (90845*s[52])/176 - 
       (617305*s[53])/264 + (3631*s[54])/44 - (7954921*s[55])/528 - 
       (2139631*s[56])/528 + (1061981*s[57])/198 - (36962093*s[58])/4752 + 
       (37073711*s[59])/4752 + (41160653*s[60])/1056 - 
       (84286661*s[61])/42768 - (3*s[62])/2 + s[68] - 3*s[69] + s[71]/2 + 
       s[74]/2 - s[75]/2 - 6*s[76] + s[77] + 4*s[78] + 4*s[79] + 9*s[80] + 
       78*s[82] + 12*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1}, 1 - v]*
      ((19*s[2])/4 - (95*s[3])/8 + (1827*s[4])/16 + (14323*s[5])/88 + 
       (45411*s[6])/176 + (9722915*s[7])/3168 - (95197*s[8])/528 - 
       (32413*s[9])/12 - (11191*s[10])/12 - (3559295*s[11])/1056 - 
       (318467*s[12])/88 - (6642283*s[13])/3168 - (593999*s[14])/1056 - 
       (1225229*s[15])/288 - (4215235*s[16])/792 - (13418531*s[17])/3168 - 
       (26593*s[18])/54 - (239623*s[19])/432 - (30688099*s[20])/4752 - 
       (23134621*s[21])/9504 + (5333783*s[22])/3168 + (272977*s[23])/99 + 
       (2783125*s[24])/792 - (177153023*s[25])/42768 + 
       (102177335*s[26])/42768 + (31*s[30])/2 + 2*s[31] - (3*s[32])/2 + 
       (21*s[33])/4 - (21*s[34])/2 + (5*s[35])/2 - (205*s[36])/6 + 
       (197*s[37])/12 + (221*s[38])/2 - 405*s[39] + (2743*s[40])/6 - 
       (1375*s[41])/4 + (3305*s[42])/6 + (1073*s[43])/3 - (20213*s[44])/48 + 
       (8213*s[45])/24 - (23069*s[46])/8 + (10411*s[47])/144 + 
       (21547*s[48])/144 - (265969*s[49])/144 + (6998*s[50])/3 + 
       (47987*s[51])/144 + (32861*s[52])/144 - (4622*s[53])/3 - 
       (529*s[54])/2 - (468833*s[55])/48 - (328583*s[56])/144 + 
       (550009*s[57])/216 - (5740975*s[58])/1296 + (6149629*s[59])/1296 + 
       (21724573*s[60])/864 - (12641809*s[61])/11664 - s[65] - 4*s[66] + 
       6*s[67] - 2*s[68] + 14*s[69] + 3*s[70] + 3*s[72] - 7*s[73] - 
       (9*s[74])/4 + (9*s[75])/4 + 2*s[76] - (29*s[77])/2 + 11*s[78] + 
       52*s[79] - (91*s[80])/6 + 162*s[82] + 3*s[83] - 24*s[84] + 12*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 1 - v]*(12*s[2] - (279*s[3])/4 - 
       (2321*s[4])/8 + (6959*s[5])/44 + (3937*s[6])/88 - (132185*s[7])/528 + 
       (457609*s[8])/2376 + (1513*s[9])/108 - (19117*s[10])/108 + 
       (572575*s[11])/1584 + (537793*s[12])/792 + (778939*s[13])/1584 - 
       (1628903*s[14])/1584 + (34745*s[15])/144 + (129907*s[16])/396 - 
       (504275*s[17])/1584 - (40681*s[18])/324 + (133277*s[19])/648 - 
       (3850405*s[20])/7128 - (9667313*s[21])/14256 - (1063415*s[22])/14256 - 
       (1958317*s[23])/792 - (766141*s[24])/7128 + (67382351*s[25])/64152 - 
       (442295*s[26])/64152 - 5*s[30] + 2*s[31] + (9*s[32])/2 - 
       (81*s[33])/4 - s[34] + 11*s[35] - (4*s[36])/3 - (29*s[37])/6 - 
       19*s[38] + 172*s[39] - (572*s[40])/3 + (391*s[41])/2 - 
       (1889*s[42])/6 - (2380*s[43])/33 + (29903*s[44])/264 - 
       (1039*s[45])/33 + (27653*s[46])/33 - (116599*s[47])/792 + 
       (178949*s[48])/792 + (300913*s[49])/792 - (25528*s[50])/33 - 
       (202451*s[51])/792 - (143411*s[52])/792 + (198379*s[53])/396 - 
       (1813*s[54])/33 + (755137*s[55])/264 + (182605*s[56])/264 - 
       (365615*s[57])/198 + (411391*s[58])/264 - (1238509*s[59])/792 - 
       (29243527*s[60])/4752 + (1426481*s[61])/5346 - 4*s[63] - 2*s[65] - 
       4*s[66] + 4*s[67] + 6*s[68] + 6*s[69] + 11*s[70] + s[71] - 2*s[72] - 
       2*s[73] + (5*s[74])/2 - (5*s[75])/2 + 13*s[76] - 12*s[77] - 10*s[78] - 
       56*s[79] - (2*s[80])/3 + 162*s[82] + 3*s[83] - 24*s[84] + 12*s[85]) + 
     D34[w, u, v]*(s[2]/4 + (55*s[3])/8 + (1561*s[4])/16 + (411*s[5])/8 + 
       (2387*s[6])/16 + (409319*s[7])/288 - (54293*s[8])/432 - 
       (64111*s[9])/54 - (41401*s[10])/108 - (450065*s[11])/288 - 
       (123697*s[12])/72 - (32799*s[13])/32 - (41489*s[14])/288 - 
       (183113*s[15])/96 - (58049*s[16])/24 - (533935*s[17])/288 - 
       (39161*s[18])/162 - (313691*s[19])/1296 - (3641401*s[20])/1296 - 
       (2543627*s[21])/2592 + (1929715*s[22])/2592 + (3291*s[23])/2 + 
       (1026379*s[24])/648 - (23494111*s[25])/11664 + 
       (12539275*s[26])/11664 + s[30]/2 - s[33]/2 + s[34]/2 - s[35]/2 - 
       (23*s[36])/6 + (31*s[37])/12 + (91*s[38])/2 - (751*s[39])/4 + 
       (2563*s[40])/12 - 171*s[41] + (3245*s[42])/12 + (2113*s[43])/12 - 
       (8941*s[44])/48 + (4963*s[45])/24 - (12805*s[46])/8 + 
       (7247*s[47])/144 + (7379*s[48])/144 - (116837*s[49])/144 + 
       (3766*s[50])/3 + (26947*s[51])/144 + (20329*s[52])/144 - 
       (10421*s[53])/12 - (9*s[54])/2 - (265553*s[55])/48 - 
       (205195*s[56])/144 + (237773*s[57])/216 - (3107855*s[58])/1296 + 
       (3175157*s[59])/1296 + (11559101*s[60])/864 - (8178029*s[61])/11664 + 
       2*s[63] + s[67] + s[72] - s[73] - (3*s[74])/4 + (3*s[75])/4 - 
       s[77]/2 + s[78] + 20*s[79] - (35*s[80])/6 + 48*s[82] + 6*s[84] + 
       12*s[85]) + B5[v, w, u]*HPL[{1}, 1 - w]*((11*s[2])/4 - (25*s[3])/8 + 
       (1143*s[4])/16 + (295*s[5])/4 + (2619*s[6])/16 + (424799*s[7])/288 - 
       (45881*s[8])/432 - (68095*s[9])/54 - (91031*s[10])/216 - 
       (462317*s[11])/288 - (15473*s[12])/9 - (98461*s[13])/96 - 
       (78149*s[14])/288 - (192337*s[15])/96 - (10063*s[16])/4 - 
       (580243*s[17])/288 - (86959*s[18])/324 - (291743*s[19])/1296 - 
       (3912217*s[20])/1296 - (2904755*s[21])/2592 + (2022655*s[22])/2592 + 
       (35375*s[23])/24 + (533141*s[24])/324 - (23304649*s[25])/11664 + 
       (13241029*s[26])/11664 + s[31] - s[32]/2 + (5*s[33])/8 - s[34] - 
       s[35]/2 - (23*s[36])/6 + (31*s[37])/12 + (91*s[38])/2 - 
       (751*s[39])/4 + (2563*s[40])/12 - 171*s[41] + (3245*s[42])/12 + 
       (2113*s[43])/12 - (8941*s[44])/48 + (4963*s[45])/24 - 
       (12805*s[46])/8 + (7259*s[47])/144 + (7391*s[48])/144 - 
       (116705*s[49])/144 + (7535*s[50])/6 + (26983*s[51])/144 + 
       (20209*s[52])/144 - (10435*s[53])/12 - (7*s[54])/2 - 
       (265709*s[55])/48 - (204583*s[56])/144 + (239537*s[57])/216 - 
       (3110987*s[58])/1296 + (3180665*s[59])/1296 + (11547089*s[60])/864 - 
       (8191169*s[61])/11664 + s[67] + s[69] + s[72] - s[73] - (3*s[74])/4 + 
       (3*s[75])/4 - s[77]/2 + s[78] + 20*s[79] - (35*s[80])/6 + 48*s[82] + 
       6*s[84] + 12*s[85]) + B5[w, v, u]*HPL[{1}, 1 - w]*
      (s[2]/4 + (55*s[3])/8 + (1561*s[4])/16 + (411*s[5])/8 + 
       (2395*s[6])/16 + (409319*s[7])/288 - (54245*s[8])/432 - 
       (64105*s[9])/54 - (41359*s[10])/108 - (450089*s[11])/288 - 
       (123727*s[12])/72 - (98453*s[13])/96 - (42017*s[14])/288 - 
       (182953*s[15])/96 - (58027*s[16])/24 - (533455*s[17])/288 - 
       (39275*s[18])/162 - (312275*s[19])/1296 - (3642997*s[20])/1296 - 
       (2542643*s[21])/2592 + (1929475*s[22])/2592 + (9877*s[23])/6 + 
       (1025527*s[24])/648 - (23494123*s[25])/11664 + 
       (12536803*s[26])/11664 + s[30]/2 - s[33]/2 + s[34]/2 - s[35]/2 - 
       (23*s[36])/6 + (31*s[37])/12 + (91*s[38])/2 - (751*s[39])/4 + 
       (2563*s[40])/12 - 171*s[41] + (3245*s[42])/12 + (2113*s[43])/12 - 
       (8941*s[44])/48 + (4963*s[45])/24 - (12805*s[46])/8 + 
       (7259*s[47])/144 + (7391*s[48])/144 - (116705*s[49])/144 + 
       (7535*s[50])/6 + (26983*s[51])/144 + (20209*s[52])/144 - 
       (10435*s[53])/12 - (7*s[54])/2 - (265709*s[55])/48 - 
       (204583*s[56])/144 + (239537*s[57])/216 - (3110987*s[58])/1296 + 
       (3180665*s[59])/1296 + (11547089*s[60])/864 - (8191169*s[61])/11664 + 
       s[67] + s[69] + s[72] - s[73] - (3*s[74])/4 + (3*s[75])/4 - s[77]/2 + 
       s[78] + 20*s[79] - (35*s[80])/6 + 48*s[82] + 6*s[84] + 12*s[85]) + 
     D34[v, w, u]*((11*s[2])/4 - (49*s[3])/8 + (1063*s[4])/16 + 
       (303*s[5])/4 + (2587*s[6])/16 + (425975*s[7])/288 - (45233*s[8])/432 - 
       (34304*s[9])/27 - (91787*s[10])/216 - (462965*s[11])/288 - 
       (15491*s[12])/9 - (98285*s[13])/96 - (82397*s[14])/288 - 
       (192457*s[15])/96 - (15115*s[16])/6 - (581635*s[17])/288 - 
       (87643*s[18])/324 - (288359*s[19])/1296 - (3942277*s[20])/1296 - 
       (2938163*s[21])/2592 + (2035399*s[22])/2592 + (34525*s[23])/24 + 
       (133697*s[24])/81 - (23257525*s[25])/11664 + (13283005*s[26])/11664 + 
       s[31] - s[32]/2 + (5*s[33])/8 - s[34] - s[35]/2 - (23*s[36])/6 + 
       (31*s[37])/12 + (91*s[38])/2 - (751*s[39])/4 + (2563*s[40])/12 - 
       172*s[41] + (3245*s[42])/12 + (2113*s[43])/12 - (8941*s[44])/48 + 
       (4963*s[45])/24 - (12805*s[46])/8 + (7247*s[47])/144 + 
       (7379*s[48])/144 - (116837*s[49])/144 + (3769*s[50])/3 + 
       (26947*s[51])/144 + (20329*s[52])/144 - (10421*s[53])/12 - 
       (3*s[54])/2 - (265529*s[55])/48 - (205051*s[56])/144 + 
       (238961*s[57])/216 - (3110447*s[58])/1296 + (3177749*s[59])/1296 + 
       (11551757*s[60])/864 - (8190125*s[61])/11664 + s[67] + s[69] + s[72] - 
       s[73] - (3*s[74])/4 + (3*s[75])/4 - s[77]/2 + s[78] + 20*s[79] - 
       (35*s[80])/6 + 48*s[82] + 6*s[84] + 12*s[85]) + 
     B7[w, u, v]*HPL[{1}, 1 - u]*(s[2]/4 + (71*s[3])/8 + (1561*s[4])/16 + 
       (4423*s[5])/88 + (27173*s[6])/176 + (4483021*s[7])/3168 - 
       (22001*s[8])/176 - (14131*s[9])/12 - (757*s[10])/2 - 
       (1648969*s[11])/1056 - (151377*s[12])/88 - (3274589*s[13])/3168 - 
       (145441*s[14])/1056 - (544819*s[15])/288 - (1907633*s[16])/792 - 
       (5827189*s[17])/3168 - (25597*s[18])/108 - (105809*s[19])/432 - 
       (13224389*s[20])/4752 - (9234779*s[21])/9504 + (780763*s[22])/1056 + 
       (325591*s[23])/198 + (1254037*s[24])/792 - (86303077*s[25])/42768 + 
       (45942541*s[26])/42768 + s[30]/2 - s[33]/2 + s[34]/2 - s[35]/2 - 
       (23*s[36])/6 + (29*s[37])/12 + (93*s[38])/2 - (753*s[39])/4 + 
       (2557*s[40])/12 - (339*s[41])/2 + (3233*s[42])/12 + 
       (23417*s[43])/132 - (98699*s[44])/528 + (54841*s[45])/264 - 
       (422225*s[46])/264 + (77509*s[47])/1584 + (89257*s[48])/1584 - 
       (1293367*s[49])/1584 + (82333*s[50])/66 + (291545*s[51])/1584 + 
       (222551*s[52])/1584 - (342527*s[53])/396 - (203*s[54])/66 - 
       (970081*s[55])/176 - (750251*s[56])/528 + (297479*s[57])/264 - 
       (11435183*s[58])/4752 + (11690453*s[59])/4752 + 
       (126873391*s[60])/9504 - (30036709*s[61])/42768 - s[66] + s[67] + 
       s[69] + s[72] - s[73] - (3*s[74])/4 + (3*s[75])/4 - s[77]/2 + s[78] + 
       18*s[79] - (31*s[80])/6 + 48*s[82] + 6*s[84] + 12*s[85]) + 
     B5[v, u, w]*HPL[{1}, 1 - u]*((11*s[2])/4 - (25*s[3])/8 + 
       (1063*s[4])/16 + (305*s[5])/4 + (2611*s[6])/16 + (421439*s[7])/288 - 
       (44689*s[8])/432 - (33829*s[9])/27 - (90619*s[10])/216 - 
       (458317*s[11])/288 - (30647*s[12])/18 - (291863*s[13])/288 - 
       (81877*s[14])/288 - (572195*s[15])/288 - (89899*s[16])/36 - 
       (192721*s[17])/96 - (87545*s[18])/324 - (286927*s[19])/1296 - 
       (3900065*s[20])/1296 - (2912035*s[21])/2592 + (2005103*s[22])/2592 + 
       (102853*s[23])/72 + (529393*s[24])/324 - (23018621*s[25])/11664 + 
       (13173089*s[26])/11664 + s[31] - s[32]/2 + (5*s[33])/8 - s[34] - 
       s[35]/2 - (23*s[36])/6 + (9*s[37])/4 + (91*s[38])/2 - (739*s[39])/4 + 
       (2503*s[40])/12 - 166*s[41] + (3173*s[42])/12 + (2077*s[43])/12 - 
       (8725*s[44])/48 + (1665*s[45])/8 - (38039*s[46])/24 + 
       (7259*s[47])/144 + (7247*s[48])/144 - (115121*s[49])/144 + 
       (7433*s[50])/6 + (26119*s[51])/144 + (19993*s[52])/144 - 
       (30989*s[53])/36 - (17*s[54])/6 - (263533*s[55])/48 - 
       (203303*s[56])/144 + (230713*s[57])/216 - (3075979*s[58])/1296 + 
       (3145657*s[59])/1296 + (11422481*s[60])/864 - (8187817*s[61])/11664 + 
       s[67] + s[69] + s[72] - s[73] - (3*s[74])/4 + (3*s[75])/4 - s[77]/2 + 
       s[78] + 16*s[79] - (9*s[80])/2 + 48*s[82] + 6*s[84] + 12*s[85]) + 
     B5[u, v, w]*HPL[{1}, 1 - u]*(s[2] + 2*s[3] + (147*s[4])/4 + 
       (1839*s[5])/44 + (4249*s[6])/44 + (657793*s[7])/792 - 
       (67963*s[8])/1188 - (76349*s[9])/108 - (13589*s[10])/54 - 
       (355409*s[11])/396 - (752495*s[12])/792 - (49363*s[13])/88 - 
       (147925*s[14])/792 - (27467*s[15])/24 - (94465*s[16])/66 - 
       (116272*s[17])/99 - (24431*s[18])/162 - (44255*s[19])/324 - 
       (1545617*s[20])/891 - (4559479*s[21])/7128 + (3103895*s[22])/7128 + 
       (64037*s[23])/88 + (6819737*s[24])/7128 - (35596955*s[25])/32076 + 
       (20460395*s[26])/32076 + s[34] - (4*s[36])/3 - (2*s[37])/3 + 
       21*s[38] - 84*s[39] + (298*s[40])/3 - (161*s[41])/2 + (703*s[42])/6 + 
       (3188*s[43])/33 - (6169*s[44])/66 + (8663*s[45])/66 - 
       (19925*s[46])/22 + (2731*s[47])/396 + (23983*s[48])/396 - 
       (169585*s[49])/396 + (23426*s[50])/33 + (32297*s[51])/396 + 
       (11995*s[52])/198 - (16547*s[53])/33 - (3*s[54])/22 - 
       (429479*s[55])/132 - (330791*s[56])/396 + (69371*s[57])/297 - 
       (4484527*s[58])/3564 + (4607629*s[59])/3564 + (18372097*s[60])/2376 - 
       (13545001*s[61])/32076 + 8*s[79] - (10*s[80])/3 + 48*s[82] + 6*s[84] + 
       12*s[85]) + D34[u, v, w]*(s[2] + 2*s[3] + (147*s[4])/4 + 
       (1839*s[5])/44 + (4271*s[6])/44 + (657859*s[7])/792 - 
       (68029*s[8])/1188 - (76463*s[9])/108 - (13559*s[10])/54 - 
       (355343*s[11])/396 - (752429*s[12])/792 - (49341*s[13])/88 - 
       (149179*s[14])/792 - (27481*s[15])/24 - (47249*s[16])/33 - 
       (116338*s[17])/99 - (24689*s[18])/162 - (43559*s[19])/324 - 
       (3097537*s[20])/1782 - (4559149*s[21])/7128 + (3108977*s[22])/7128 + 
       (64103*s[23])/88 + (6820859*s[24])/7128 - (35603819*s[25])/32076 + 
       (20431025*s[26])/32076 + s[34] - s[35] - (4*s[36])/3 - (2*s[37])/3 + 
       21*s[38] - 84*s[39] + (298*s[40])/3 - (161*s[41])/2 + (703*s[42])/6 + 
       (3188*s[43])/33 - (6169*s[44])/66 + (8663*s[45])/66 - 
       (19925*s[46])/22 + (2731*s[47])/396 + (23983*s[48])/396 - 
       (169189*s[49])/396 + (23393*s[50])/33 + (32693*s[51])/396 + 
       (12193*s[52])/198 - (16547*s[53])/33 - (25*s[54])/22 - 
       (429017*s[55])/132 - (331583*s[56])/396 + (137257*s[57])/594 - 
       (4470271*s[58])/3564 + (4586245*s[59])/3564 + (18374473*s[60])/2376 - 
       (13534903*s[61])/32076 + 8*s[79] - (10*s[80])/3 + 48*s[82] + 6*s[84] + 
       12*s[85]) + B7[u, v, w]*HPL[{1}, 1 - w]*(s[2] + 4*s[3] + 
       (157*s[4])/4 + (1713*s[5])/44 + (4247*s[6])/44 + (647443*s[7])/792 - 
       (68341*s[8])/1188 - (74729*s[9])/108 - (6619*s[10])/27 - 
       (351413*s[11])/396 - (748985*s[12])/792 - (49337*s[13])/88 - 
       (137323*s[14])/792 - (26849*s[15])/24 - (92905*s[16])/66 - 
       (113077*s[17])/99 - (24377*s[18])/162 - (43067*s[19])/324 - 
       (1513001*s[20])/891 - (4459525*s[21])/7128 + (3048761*s[22])/7128 + 
       (65947*s[23])/88 + (6667511*s[24])/7128 - (35316317*s[25])/32076 + 
       (20204543*s[26])/32076 + s[34] - (4*s[36])/3 - (2*s[37])/3 + 
       21*s[38] - 84*s[39] + (298*s[40])/3 - (161*s[41])/2 + (703*s[42])/6 + 
       (3116*s[43])/33 - (3098*s[44])/33 + (8483*s[45])/66 - 
       (19673*s[46])/22 + (3037*s[47])/396 + (24289*s[48])/396 - 
       (167335*s[49])/396 + (23084*s[50])/33 + (32531*s[51])/396 + 
       (5939*s[52])/99 - (16160*s[53])/33 + (21*s[54])/22 - 
       (420257*s[55])/132 - (328181*s[56])/396 + (87569*s[57])/297 - 
       (4508989*s[58])/3564 + (4598071*s[59])/3564 + (18100099*s[60])/2376 - 
       (13455199*s[61])/32076 + 8*s[79] - (10*s[80])/3 + 48*s[82] + 6*s[84] + 
       12*s[85]) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((-191*s[2])/8 + (79*s[3])/8 + (1715*s[4])/16 - (39571*s[5])/352 - 
       (24217*s[6])/352 - (5821*s[7])/1584 - (150979*s[8])/3168 + 
       (25867*s[9])/288 - (9997*s[10])/288 - (35881*s[11])/352 - 
       (259231*s[12])/1056 - (40181*s[13])/198 + (97007*s[14])/176 - 
       (8533*s[15])/288 - (73069*s[16])/1584 + (492709*s[17])/1584 + 
       (65791*s[18])/288 - (24095*s[19])/72 + (674209*s[20])/1584 + 
       (4164659*s[21])/9504 + (21337*s[22])/2376 + (327905*s[23])/1584 + 
       (462797*s[24])/1188 - (72443051*s[25])/171072 - 
       (14605201*s[26])/171072 + s[27] + 8*s[29] - 2*s[30] - (23*s[31])/2 + 
       (5*s[32])/2 - (317*s[33])/16 + (57*s[34])/4 + (5*s[35])/2 + 
       (31*s[36])/2 - (253*s[37])/48 - (27*s[38])/4 + (573*s[39])/8 - 
       (393*s[40])/8 + s[41]/4 - (517*s[42])/4 + (879*s[43])/88 - 
       (1209*s[44])/176 - (86519*s[45])/1056 + (417425*s[46])/1056 - 
       (77321*s[47])/528 + (128137*s[48])/528 - (55357*s[49])/528 - 
       (29891*s[50])/176 - (67405*s[51])/528 - (69457*s[52])/528 + 
       (725539*s[53])/3168 - (13349*s[54])/33 + (349201*s[55])/264 + 
       (501005*s[56])/792 - (339509*s[57])/594 + (21585367*s[58])/28512 - 
       (9203477*s[59])/14256 - (7601585*s[60])/6336 + 
       (171991697*s[61])/513216 + (21*s[65])/8 + 4*s[66] - 5*s[67] - 
       4*s[68] - 11*s[69] + (33*s[70])/4 - 2*s[71] - 2*s[72] + s[73] + 
       5*s[74] - (21*s[75])/4 + (33*s[76])/2 - (11*s[77])/4 - 15*s[78] + 
       60*s[79] - (649*s[80])/24 + (309*s[82])/2 - 9*s[83] + 18*s[84] + 
       12*s[85]) + HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((-7*s[2])/2 + (329*s[3])/16 + (2109*s[4])/32 - (29121*s[5])/352 - 
       (5437*s[6])/176 - (378155*s[7])/6336 - (28333*s[8])/528 + 
       (13249*s[9])/96 + (5041*s[10])/96 - (200821*s[11])/2112 - 
       (123561*s[12])/352 - (1665215*s[13])/6336 + (789941*s[14])/2112 + 
       (287327*s[15])/576 + (644663*s[16])/3168 + (4628513*s[17])/6336 + 
       (41945*s[18])/864 - (44339*s[19])/864 + (3815563*s[20])/9504 + 
       (6728257*s[21])/19008 - (140225*s[22])/6336 + (1550627*s[23])/3168 - 
       (52937*s[24])/3168 - (51916193*s[25])/171072 - 
       (13354831*s[26])/171072 - s[30]/2 - 3*s[31] + (3*s[32])/2 - 
       (65*s[33])/16 + (31*s[34])/4 + (25*s[36])/12 - (49*s[37])/48 + 
       (175*s[38])/8 - (199*s[39])/4 + (923*s[40])/12 - (1015*s[41])/16 + 
       (1771*s[42])/48 + (511*s[43])/6 - (721*s[44])/6 - (2527*s[45])/96 - 
       (4205*s[46])/32 - (5951*s[47])/144 + (28675*s[48])/144 - 
       (62749*s[49])/144 + (511*s[50])/6 - (55*s[51])/36 + (109*s[52])/72 + 
       (12241*s[53])/96 - (4003*s[54])/16 + (8809*s[55])/12 + 
       (11045*s[56])/72 + (593951*s[57])/432 - (1345667*s[58])/2592 + 
       (363463*s[59])/1296 + (3544145*s[60])/1728 + (2509025*s[61])/46656 - 
       s[67] - s[69] + 3*s[70] + (5*s[71])/8 + s[72] - 2*s[73] + 
       (11*s[74])/4 - 3*s[75] + 3*s[76] + s[77] - 8*s[78] + 20*s[79] - 
       (403*s[80])/24 + (309*s[82])/2 - 9*s[83] + 18*s[84] + 12*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      (16*s[2] + 18*s[3] + (2537*s[4])/4 + (25743*s[5])/44 + 
       (28429*s[6])/22 + (8822743*s[7])/792 - (997163*s[8])/1188 - 
       (510455*s[9])/54 - (76085*s[10])/27 - (9730487*s[11])/792 - 
       (2660893*s[12])/198 - (6379333*s[13])/792 - (1224323*s[14])/792 - 
       (1053809*s[15])/72 - (3692065*s[16])/198 - (3775351*s[17])/264 - 
       (737981*s[18])/324 - (451249*s[19])/324 - (19794472*s[20])/891 - 
       (59672411*s[21])/7128 + (41750059*s[22])/7128 + (1352731*s[23])/99 + 
       (41600381*s[24])/3564 - (248108117*s[25])/16038 + 
       (280587223*s[26])/32076 + 8*s[30] + 10*s[31] - (5*s[32])/2 + 4*s[33] - 
       22*s[34] - 6*s[35] - (103*s[36])/3 + (100*s[37])/3 + (757*s[38])/2 - 
       (5799*s[39])/4 + (19141*s[40])/12 - 1239*s[41] + (24899*s[42])/12 + 
       (169259*s[43])/132 - (176243*s[44])/132 + (189703*s[45])/132 - 
       (123843*s[46])/11 + (47845*s[47])/99 + (84625*s[48])/396 - 
       (2294683*s[49])/396 + (1120145*s[50])/132 + (566651*s[51])/396 + 
       (235231*s[52])/198 - (1552655*s[53])/264 + (5135*s[54])/22 - 
       (1638521*s[55])/44 - (3981761*s[56])/396 + (13074353*s[57])/1188 - 
       (63369913*s[58])/3564 + (31869425*s[59])/1782 + 
       (216387865*s[60])/2376 - (158239123*s[61])/32076 + s[64]/2 + s[65]/2 - 
       2*s[66] + 4*s[67] + 9*s[68] + 7*s[69] - s[70] - 2*s[71] + 4*s[72] - 
       5*s[73] - (15*s[74])/2 + (17*s[75])/2 - 10*s[76] + 10*s[77] + 
       17*s[78] + 88*s[79] - (43*s[80])/3 + 42*s[82] + 6*s[83] + 30*s[84] + 
       12*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - v]*((15*s[2])/2 + (35*s[3])/4 + (3197*s[4])/8 + 
       (4018*s[5])/11 + (70975*s[6])/88 + (10801003*s[7])/1584 - 
       (49237*s[8])/88 - (34603*s[9])/6 - (6567*s[10])/4 - 
       (3971377*s[11])/528 - (90922*s[12])/11 - (7841657*s[13])/1584 - 
       (442573*s[14])/528 - (1284541*s[15])/144 - (9020191*s[16])/792 - 
       (13707589*s[17])/1584 - (148691*s[18])/108 - (174767*s[19])/216 - 
       (32059535*s[20])/2376 - (24216647*s[21])/4752 + (1887143*s[22])/528 + 
       (7069133*s[23])/792 + (5619941*s[24])/792 - (203677873*s[25])/21384 + 
       (114246403*s[26])/21384 - 6*s[30] + 4*s[31] + (31*s[32])/2 + 
       (13*s[33])/4 - 11*s[34] - 5*s[35] - 21*s[36] + (83*s[37])/2 + 
       (525*s[38])/2 - (4427*s[39])/4 + (4883*s[40])/4 - (1899*s[41])/2 + 
       (6523*s[42])/4 + (42693*s[43])/44 - (89025*s[44])/88 + 
       (11288*s[45])/11 - (364897*s[46])/44 + (109465*s[47])/264 + 
       (18583*s[48])/264 - (1135333*s[49])/264 + (273431*s[50])/44 + 
       (289459*s[51])/264 + (240059*s[52])/264 - (192365*s[53])/44 + 
       (12891*s[54])/44 - (7236451*s[55])/264 - (1978103*s[56])/264 + 
       (1760597*s[57])/198 - (31695019*s[58])/2376 + (31987195*s[59])/2376 + 
       (105046471*s[60])/1584 - (77659039*s[61])/21384 + s[64]/2 + s[65]/2 - 
       2*s[66] + 4*s[67] + 9*s[68] + 7*s[69] - s[70] - s[71]/2 + 4*s[72] - 
       2*s[73] - 5*s[74] + 6*s[75] + 2*s[76] + 10*s[77] + 8*s[78] + 
       44*s[79] - 5*s[80] + 42*s[82] + 6*s[83] + 30*s[84] + 12*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      ((479*s[2])/144 + (241*s[3])/96 + (72497*s[4])/576 + (5773*s[5])/48 + 
       (153865*s[6])/576 + (24980989*s[7])/10368 - (2790091*s[8])/15552 - 
       (15953999*s[9])/7776 - (646655*s[10])/972 - (27167377*s[11])/10368 - 
       (3654649*s[12])/1296 - (5780857*s[13])/3456 - (4315057*s[14])/10368 - 
       (417965*s[15])/128 - (7081411*s[16])/1728 - (33727319*s[17])/10368 - 
       (2663347*s[18])/5832 - (16101289*s[19])/46656 - 
       (229545137*s[20])/46656 - (170181031*s[21])/93312 + 
       (118417919*s[22])/93312 + (4472875*s[23])/1728 + 
       (123395809*s[24])/46656 - (1376687939*s[25])/419904 + 
       (782010905*s[26])/419904 + (5*s[30])/72 + (7*s[31])/6 - 
       (41*s[32])/72 + (11*s[33])/16 - (131*s[34])/72 - (65*s[35])/72 - 
       (511*s[36])/108 + (157*s[37])/27 + (223*s[38])/3 - (43939*s[39])/144 + 
       (148585*s[40])/432 - (39425*s[41])/144 + (94723*s[42])/216 + 
       (1317809*s[43])/4752 - (1397813*s[44])/4752 + (3333017*s[45])/9504 - 
       (8322527*s[46])/3168 + (2642339*s[47])/28512 + (394679*s[48])/7128 - 
       (9047189*s[49])/7128 + (9623753*s[50])/4752 + (4278893*s[51])/14256 + 
       (3450455*s[52])/14256 - (13475831*s[53])/9504 + (20681*s[54])/396 - 
       (28815073*s[55])/3168 - (17130403*s[56])/7128 + 
       (163414129*s[57])/85536 - (1023742595*s[58])/256608 + 
       (1040714435*s[59])/256608 + (925941527*s[60])/42768 - 
       (2716103735*s[61])/2309472 + (2*s[68])/9 - (2*s[69])/9 - s[71]/4 + 
       (5*s[72])/4 + s[73]/12 - (197*s[74])/144 + (197*s[75])/144 - 
       (14*s[76])/9 - (17*s[77])/72 + (53*s[78])/36 + (517*s[79])/18 - 
       (305*s[80])/54 + (178*s[82])/3 + 13*s[84] + (40*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - v]*
      (2*s[2] + (805*s[3])/72 + (2519*s[4])/72 + (1877*s[5])/72 + 
       (4873*s[6])/48 + (32909*s[7])/48 - (3211*s[8])/72 - (13727*s[9])/24 - 
       (10721*s[10])/48 - (109253*s[11])/144 - (57715*s[12])/72 - 
       (16575*s[13])/32 - (7121*s[14])/48 - (65255*s[15])/72 - 
       (340289*s[16])/288 - (279779*s[17])/288 - (44171*s[18])/432 - 
       (31991*s[19])/216 - (1190047*s[20])/864 - (410597*s[21])/864 + 
       (76547*s[22])/216 + (62153*s[23])/144 + (59015*s[24])/72 - 
       (1867897*s[25])/1944 + (3971461*s[26])/7776 + (25*s[32])/18 - 
       (5*s[37])/3 + (1441*s[38])/72 - (9913*s[39])/144 + (11545*s[40])/144 - 
       (2573*s[41])/48 + (13709*s[42])/144 + (149911*s[43])/1584 - 
       (67307*s[44])/792 + (183283*s[45])/1584 - (26164*s[46])/33 - 
       (30467*s[47])/4752 + (481693*s[48])/4752 - (1991977*s[49])/4752 + 
       (165793*s[50])/264 + (182023*s[51])/2376 + (194171*s[52])/4752 - 
       (990733*s[53])/2376 - (68209*s[54])/792 - (3186325*s[55])/1188 - 
       (512191*s[56])/792 + (307655*s[57])/2376 - (7568237*s[58])/7128 + 
       (15075043*s[59])/14256 + (197375581*s[60])/28512 - 
       (31070779*s[61])/85536 + (7*s[68])/9 - (7*s[69])/9 + 4*s[73] + 
       (7*s[77])/9 + (149*s[82])/3 + (44*s[85])/3) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((11*s[2])/9 + (317*s[3])/72 + (151*s[4])/24 + (6095*s[5])/1584 + 
       (29597*s[6])/1584 + (2369467*s[7])/14256 - (98179*s[8])/21384 - 
       (31456*s[9])/243 - (31435*s[10])/486 - (5897099*s[11])/28512 - 
       (6837565*s[12])/28512 - (178879*s[13])/1188 + (290*s[14])/891 - 
       (75413*s[15])/432 - (2845705*s[16])/9504 - (1528705*s[17])/7128 - 
       (244717*s[18])/23328 - (1653935*s[19])/23328 - (9835747*s[20])/32076 - 
       (17257367*s[21])/256608 + (696623*s[22])/8019 + (184585*s[23])/2376 + 
       (69535219*s[24])/256608 - (40255967*s[25])/144342 + 
       (232481435*s[26])/2309472 + (7*s[30])/9 + (11*s[34])/9 + 
       (25*s[35])/18 - (121*s[36])/27 + (995*s[37])/216 + (77*s[38])/24 - 
       (11*s[39])/4 + (1249*s[40])/108 - 8*s[41] + (91*s[42])/216 + 
       (13463*s[43])/1188 - (167185*s[44])/9504 + (12583*s[45])/297 - 
       (52819*s[46])/264 - (360049*s[47])/28512 + (1398917*s[48])/28512 - 
       (1031689*s[49])/14256 + (51155*s[50])/297 + (264479*s[51])/14256 + 
       (329449*s[52])/28512 - (72007*s[53])/792 - (17909*s[54])/528 - 
       (5571253*s[55])/9504 - (2492297*s[56])/14256 + (2596819*s[57])/21384 - 
       (37416001*s[58])/128304 + (26997709*s[59])/128304 + 
       (39061819*s[60])/21384 - (165771709*s[61])/1154736 + (7*s[68])/9 - 
       (7*s[69])/9 + (11*s[74])/18 - (11*s[75])/18 - (14*s[76])/9 + 
       (7*s[77])/9 + (14*s[78])/9 - (28*s[79])/9 + (44*s[80])/27 + 
       (325*s[82])/6 + (44*s[85])/3) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*((-235*s[2])/24 + (1169*s[3])/144 - 
       (37285*s[4])/96 - (456067*s[5])/1584 - (2093629*s[6])/3168 - 
       (58691491*s[7])/9504 + (21761917*s[8])/42768 + (40818643*s[9])/7776 + 
       (12035801*s[10])/7776 + (24291713*s[11])/3564 + 
       (13350959*s[12])/1782 + (32306005*s[13])/7128 + (1168573*s[14])/1782 + 
       (21128507*s[15])/2592 + (73692637*s[16])/7128 + 
       (13901875*s[17])/1782 + (27957287*s[18])/23328 + 
       (18225949*s[19])/23328 + (781905811*s[20])/64152 + 
       (1164558811*s[21])/256608 - (420606931*s[22])/128304 - 
       (223502435*s[23])/28512 - (1668036071*s[24])/256608 + 
       (2499141041*s[25])/288684 - (11128209481*s[26])/2309472 - s[29]/2 - 
       (31*s[30])/18 - (113*s[31])/18 + (13*s[32])/6 - (617*s[33])/72 + 
       (151*s[34])/12 + (191*s[35])/36 + (884*s[36])/27 - (1729*s[37])/48 - 
       (18689*s[38])/72 + (153239*s[39])/144 - (502373*s[40])/432 + 
       (10871*s[41])/12 - (42166*s[42])/27 - (4009351*s[43])/4752 + 
       (17967421*s[44])/19008 - (735253*s[45])/1056 + (63320777*s[46])/9504 - 
       (24358871*s[47])/57024 + (5749669*s[48])/57024 + 
       (222202205*s[49])/57024 - (12129683*s[50])/2376 - 
       (59151667*s[51])/57024 - (47577769*s[52])/57024 + 
       (98683771*s[53])/28512 - (15449*s[54])/297 + (135208211*s[55])/6336 + 
       (313675799*s[56])/57024 - (796668133*s[57])/85536 + 
       (5737710097*s[58])/513216 - (5858353513*s[59])/513216 - 
       (18297802973*s[60])/342144 + (5962887041*s[61])/2309472 + 
       (7*s[65])/9 + (47*s[66])/18 - (65*s[67])/18 - (29*s[68])/18 - 
       (55*s[69])/9 + (55*s[70])/18 - (29*s[71])/72 - (113*s[72])/18 + 
       (97*s[73])/18 + (53*s[74])/8 - (51*s[75])/8 + (31*s[76])/9 + 
       (107*s[77])/36 - (209*s[78])/18 - (569*s[79])/6 + (1129*s[80])/72 + 
       42*s[82] + (13*s[83])/6 - (94*s[84])/3 + (44*s[85])/3) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((-9*s[2])/4 + (1213*s[3])/72 - (2803*s[4])/16 - (469915*s[5])/1584 - 
       (792251*s[6])/1584 - (90778817*s[7])/19008 + (24267845*s[8])/85536 + 
       (32226247*s[9])/7776 + (11417039*s[10])/7776 + 
       (295277465*s[11])/57024 + (77079469*s[12])/14256 + 
       (182422751*s[13])/57024 + (59193809*s[14])/57024 + 
       (34999129*s[15])/5184 + (236759305*s[16])/28512 + 
       (395127851*s[17])/57024 + (19865195*s[18])/23328 + 
       (2441927*s[19])/2916 + (2561465107*s[20])/256608 + 
       (1989815009*s[21])/513216 - (1303919371*s[22])/513216 - 
       (59006347*s[23])/14256 - (44128312*s[24])/8019 + 
       (7276149281*s[25])/1154736 - (8654799433*s[26])/2309472 - s[27]/2 - 
       (7*s[29])/2 + (35*s[30])/18 + (19*s[31])/18 + (25*s[32])/6 + 
       (2267*s[33])/144 + (55*s[34])/12 + (79*s[35])/18 + (1865*s[36])/108 - 
       (2653*s[37])/144 - (10973*s[38])/72 + (85541*s[39])/144 - 
       (273083*s[40])/432 + (11911*s[41])/24 - (183233*s[42])/216 - 
       (2229949*s[43])/4752 + (10195639*s[44])/19008 - (1252673*s[45])/3168 + 
       (35280071*s[46])/9504 - (12282089*s[47])/57024 + 
       (1630843*s[48])/57024 + (132022667*s[49])/57024 - 
       (6956891*s[50])/2376 - (31446109*s[51])/57024 - 
       (23722411*s[52])/57024 + (56953273*s[53])/28512 + 
       (502853*s[54])/2376 + (25810075*s[55])/2112 + (159807305*s[56])/
        57024 - (385079605*s[57])/85536 + (3064503019*s[58])/513216 - 
       (3225322867*s[59])/513216 - (10449393683*s[60])/342144 + 
       (3192752351*s[61])/2309472 - s[65]/18 + (41*s[66])/18 - 
       (89*s[67])/18 - (16*s[68])/9 - (119*s[69])/18 - (37*s[70])/9 + 
       s[71]/72 - (34*s[72])/9 + (89*s[73])/9 + (23*s[74])/6 - 
       (43*s[75])/12 - (80*s[76])/9 + (74*s[77])/9 - (143*s[78])/18 - 
       (221*s[79])/6 + (241*s[80])/24 - 33*s[82] + (11*s[83])/12 - 
       (83*s[84])/6 + (44*s[85])/3) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - w]*(3*s[2] + (53*s[3])/6 - (59*s[4])/6 + 
       (3091*s[5])/24 + (221*s[6])/2 + (19321*s[7])/24 - (265*s[8])/18 - 
       (6488*s[9])/9 - (18719*s[10])/72 - (36401*s[11])/48 - 
       (10145*s[12])/16 - (5725*s[13])/24 - (6205*s[14])/12 - 
       (16555*s[15])/12 - (36809*s[16])/24 - (77765*s[17])/48 - 
       (33043*s[18])/108 + (7121*s[19])/216 - (445973*s[20])/216 - 
       (27721*s[21])/27 + (86203*s[22])/216 + (56075*s[23])/48 + 
       (320939*s[24])/432 - (697039*s[25])/972 + (1390019*s[26])/1944 + 
       s[32]/3 - (43*s[38])/6 - (1273*s[39])/24 + (1561*s[40])/24 - 
       (509*s[41])/8 + (1793*s[42])/24 + (8923*s[43])/264 - 
       (35411*s[44])/528 + (32095*s[45])/264 - (29919*s[46])/44 + 
       (76157*s[47])/1584 - (63565*s[48])/1584 - (233531*s[49])/1584 + 
       (5249*s[50])/11 + (62947*s[51])/1584 + (8377*s[52])/1584 - 
       (169489*s[53])/396 + (12031*s[54])/66 - (4731047*s[55])/1584 - 
       (526099*s[56])/528 + (137303*s[57])/396 - (4998911*s[58])/4752 + 
       (5704823*s[59])/4752 + (47141195*s[60])/9504 - (379430*s[61])/891 - 
       (4*s[68])/3 + (4*s[69])/3 - (4*s[77])/3 + 25*s[82] + 16*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((4*s[2])/3 - (17*s[3])/6 - (49*s[4])/2 + (17819*s[5])/264 + 
       (17833*s[6])/132 + (1292587*s[7])/2376 - (17167*s[8])/3564 - 
       (81811*s[9])/162 - (111335*s[10])/648 - (2514227*s[11])/4752 - 
       (2226853*s[12])/4752 - (89051*s[13])/396 - (289393*s[14])/594 - 
       (27715*s[15])/36 - (738389*s[16])/792 - (4466971*s[17])/4752 - 
       (509411*s[18])/1944 + (126097*s[19])/972 - (3864125*s[20])/2673 - 
       (7735589*s[21])/10692 + (6047417*s[22])/21384 + (816697*s[23])/1584 + 
       (18249445*s[24])/42768 - (43782437*s[25])/96228 + 
       (99108895*s[26])/192456 + (2*s[30])/3 + (4*s[34])/3 - (26*s[35])/3 + 
       (106*s[36])/9 - (184*s[37])/9 + (41*s[38])/2 - (375*s[39])/8 + 
       (4255*s[40])/72 - (517*s[41])/8 + (2723*s[42])/72 + 
       (62477*s[43])/792 - (100933*s[44])/1584 + (151447*s[45])/792 - 
       (11227*s[46])/11 - (111601*s[47])/4752 + (504113*s[48])/4752 - 
       (1357547*s[49])/4752 + (74956*s[50])/99 + (344815*s[51])/4752 + 
       (184087*s[52])/4752 - (37993*s[53])/66 + (4291*s[54])/44 - 
       (6390163*s[55])/1584 - (5693305*s[56])/4752 - (180155*s[57])/891 - 
       (58628729*s[58])/42768 + (57530333*s[59])/42768 + 
       (247378799*s[60])/28512 - (26578297*s[61])/48114 - s[62] - 
       (4*s[68])/3 + (4*s[69])/3 - 3*s[71] + (2*s[74])/3 - (2*s[75])/3 + 
       (8*s[76])/3 - (4*s[77])/3 - (8*s[78])/3 + (40*s[79])/3 + 
       (31*s[80])/9 + 25*s[82] + 16*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Ot[u, v, w]*((-7*s[3])/6 - (47*s[4])/6 + (7313*s[5])/264 + 
       (2139*s[6])/44 + (36909*s[7])/88 - (533*s[8])/132 - (1471*s[9])/4 - 
       (1467*s[10])/8 - (234233*s[11])/528 - (227423*s[12])/528 - 
       (21867*s[13])/88 - (4875*s[14])/22 - (7345*s[15])/12 - 
       (203315*s[16])/264 - (378397*s[17])/528 - (1031*s[18])/18 - 
       (7711*s[19])/72 - (797149*s[20])/792 - (153049*s[21])/396 + 
       (177191*s[22])/792 - (50749*s[23])/528 + (101441*s[24])/176 - 
       (3554503*s[25])/7128 + (585535*s[26])/1782 - (2*s[32])/3 - 4*s[37] + 
       (17*s[38])/6 + (191*s[39])/24 + s[40]/24 - (21*s[41])/8 - 
       (787*s[42])/24 + (8083*s[43])/264 - (17675*s[44])/528 + 
       (24247*s[45])/264 - (18547*s[46])/44 - (75211*s[47])/1584 + 
       (173939*s[48])/1584 - (281819*s[49])/1584 + (3892*s[50])/11 - 
       (34325*s[51])/1584 - (36383*s[52])/1584 - (96073*s[53])/396 - 
       (4463*s[54])/66 - (2895407*s[55])/1584 - (222187*s[56])/528 - 
       (338449*s[57])/396 - (1639391*s[58])/4752 + (1830287*s[59])/4752 + 
       (40781123*s[60])/9504 - (800893*s[61])/3564 - (4*s[68])/3 + 
       (4*s[69])/3 - (4*s[77])/3 + 91*s[82] + 16*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Ot[u, v, w]*((4*s[2])/3 - (35*s[3])/6 - 
       (39*s[4])/2 + (2735*s[5])/264 + (541*s[6])/33 + (338059*s[7])/2376 + 
       (21007*s[8])/1782 - (42353*s[9])/324 - (69131*s[10])/648 - 
       (640721*s[11])/4752 - (454891*s[12])/4752 - (14291*s[13])/396 - 
       (203375*s[14])/1188 - (9193*s[15])/36 - (244091*s[16])/792 - 
       (1720885*s[17])/4752 - (12005*s[18])/1944 - (14582*s[19])/243 - 
       (4801307*s[20])/10692 - (1790519*s[21])/10692 + 
       (1714985*s[22])/21384 - (512669*s[23])/1584 + (11840827*s[24])/42768 - 
       (20544451*s[25])/192456 + (9442709*s[26])/96228 - (4*s[30])/3 + 
       (4*s[34])/3 + (16*s[35])/3 + (28*s[36])/9 - (113*s[37])/18 - 
       (21*s[38])/2 + (397*s[39])/8 - (2933*s[40])/72 + (211*s[41])/8 - 
       (6037*s[42])/72 - (3559*s[43])/792 + (6947*s[44])/1584 + 
       (40093*s[45])/792 - (5699*s[46])/44 - (286573*s[47])/4752 + 
       (478037*s[48])/4752 + (22201*s[49])/4752 + (27959*s[50])/198 - 
       (230597*s[51])/4752 - (264425*s[52])/4752 - (13405*s[53])/132 - 
       (2539*s[54])/44 - (1402135*s[55])/1584 - (935125*s[56])/4752 - 
       (1924801*s[57])/1782 + (4456783*s[58])/42768 - (3350143*s[59])/42768 + 
       (52224551*s[60])/28512 - (21342085*s[61])/192456 - (4*s[68])/3 + 
       (4*s[69])/3 + (2*s[74])/3 - (2*s[75])/3 + (8*s[76])/3 - (4*s[77])/3 - 
       (8*s[78])/3 + (16*s[79])/3 - (56*s[80])/9 + 91*s[82] + 16*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*M1[w, v, u]*((-5*s[2])/3 + 2*s[3] + 
       (37*s[4])/12 + (487*s[5])/12 + (671*s[6])/12 + (39973*s[7])/72 - 
       (2903*s[8])/108 - (52061*s[9])/108 - (5797*s[10])/27 - 
       (20359*s[11])/36 - (39319*s[12])/72 - (20455*s[13])/72 - 
       (17159*s[14])/72 - (61963*s[15])/72 - (9107*s[16])/9 - 
       (2858*s[17])/3 - (36235*s[18])/324 - (32519*s[19])/324 - 
       (421789*s[20])/324 - (326759*s[21])/648 + (187279*s[22])/648 + 
       (16925*s[23])/72 + (435109*s[24])/648 - (1875919*s[25])/2916 + 
       (1242967*s[26])/2916 + s[30]/3 - (2*s[31])/3 - s[32]/6 - s[33]/2 + 
       s[34] - s[35]/3 - s[36]/3 - (7*s[37])/6 + s[38]/2 - (8*s[39])/3 + 
       4*s[40] - (49*s[41])/12 + s[42]/4 + 10*s[43] - (29*s[44])/2 + 
       (233*s[45])/4 - (3439*s[46])/12 - (665*s[47])/72 + (2083*s[48])/72 - 
       (5065*s[49])/72 + (481*s[50])/2 + (521*s[51])/72 - (73*s[52])/18 - 
       (1613*s[53])/9 - (77*s[54])/4 - (30049*s[55])/24 - (22231*s[56])/72 - 
       (36505*s[57])/108 - (197561*s[58])/648 + (208559*s[59])/648 + 
       (1128817*s[60])/432 - (1008569*s[61])/5832 - s[74]/6 + s[75]/6 + 
       (2*s[76])/3 - s[77]/3 - s[80]/3 + 95*s[82] + 16*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((-55*s[3])/6 - (407*s[4])/6 + (36185*s[5])/264 + (8015*s[6])/44 + 
       (304367*s[7])/264 + (1743*s[8])/44 - (12725*s[9])/12 - 
       (11873*s[10])/24 - (576161*s[11])/528 - (477923*s[12])/528 - 
       (141931*s[13])/264 - (42415*s[14])/44 - (7395*s[15])/4 - 
       (184127*s[16])/88 - (1207061*s[17])/528 - (2554*s[18])/9 - 
       (8743*s[19])/72 - (2362357*s[20])/792 - (270415*s[21])/198 + 
       (474157*s[22])/792 - (71263*s[23])/176 + (2115745*s[24])/1584 - 
       (2476819*s[25])/2376 + (1173503*s[26])/1188 - (5*s[32])/3 - 6*s[37] - 
       (11*s[38])/3 + (2255*s[39])/24 - (2063*s[40])/24 + (583*s[41])/8 - 
       (4531*s[42])/24 + (10111*s[43])/264 + (5245*s[44])/528 + 
       (65623*s[45])/264 - (36959*s[46])/44 - (267835*s[47])/1584 + 
       (361475*s[48])/1584 - (198419*s[49])/1584 + (13633*s[50])/22 - 
       (244877*s[51])/1584 - (72143*s[52])/1584 - (207439*s[53])/396 + 
       (4705*s[54])/66 - (6803447*s[55])/1584 - (188449*s[56])/176 - 
       (1242911*s[57])/396 - (236327*s[58])/528 + (844229*s[59])/1584 + 
       (81025859*s[60])/9504 - (1432210*s[61])/2673 - (4*s[68])/3 + 
       (4*s[69])/3 - (4*s[77])/3 + 100*s[82] + 16*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((4*s[2])/3 - (28*s[3])/3 - (145*s[4])/4 + (12599*s[5])/264 + 
       (1675*s[6])/132 + (409037*s[7])/1188 + (14537*s[8])/3564 - 
       (102869*s[9])/324 - (139907*s[10])/648 - (1368407*s[11])/4752 - 
       (850567*s[12])/4752 - (14527*s[13])/792 - (861583*s[14])/2376 - 
       (53633*s[15])/72 - (598487*s[16])/792 - (4393399*s[17])/4752 - 
       (64205*s[18])/1944 - (111905*s[19])/972 - (2909078*s[20])/2673 - 
       (8886637*s[21])/21384 + (1013285*s[22])/5346 - (648953*s[23])/1584 + 
       (25015927*s[24])/42768 - (45321019*s[25])/192456 + 
       (22554971*s[26])/96228 - (10*s[30])/3 + (4*s[34])/3 + (16*s[35])/3 + 
       (37*s[36])/9 - (221*s[37])/18 - 50*s[38] + (999*s[39])/8 - 
       (8423*s[40])/72 + (717*s[41])/8 - (12427*s[42])/72 - 
       (60025*s[43])/792 + (89549*s[44])/1584 + (3913*s[45])/792 + 
       (2234*s[46])/11 - (363667*s[47])/4752 + (271451*s[48])/4752 + 
       (1466035*s[49])/4752 - (11225*s[50])/99 - (576791*s[51])/4752 - 
       (544703*s[52])/4752 + (199*s[53])/22 + (2379*s[54])/44 - 
       (271873*s[55])/1584 - (149551*s[56])/4752 - (1790945*s[57])/891 + 
       (33294961*s[58])/42768 - (31784293*s[59])/42768 - 
       (31499191*s[60])/28512 - (653276*s[61])/24057 - (4*s[68])/3 + 
       (4*s[69])/3 + 3*s[71] + (2*s[74])/3 - (2*s[75])/3 + (8*s[76])/3 - 
       (4*s[77])/3 - (8*s[78])/3 + (16*s[79])/3 - (200*s[80])/9 + 100*s[82] + 
       16*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]^2*
      (18*s[2] - (261*s[3])/4 - (2541*s[4])/8 - (1825*s[5])/88 - 
       (3917*s[6])/22 - (1246193*s[7])/528 + (202585*s[8])/594 + 
       (407717*s[9])/216 + (68617*s[10])/216 + (4341877*s[11])/1584 + 
       (2654983*s[12])/792 + (3239605*s[13])/1584 - (1070909*s[14])/1584 + 
       (403151*s[15])/144 + (2920355*s[16])/792 + (3199705*s[17])/1584 + 
       (252721*s[18])/648 + (247565*s[19])/648 + (27432809*s[20])/7128 + 
       (14872819*s[21])/14256 - (17289485*s[22])/14256 - 
       (3900493*s[23])/792 - (8406545*s[24])/3564 + (512073487*s[25])/
        128304 - (223146199*s[26])/128304 - 5*s[30] + 4*s[31] - s[32] - 
       (13*s[33])/4 - 2*s[34] + (9*s[35])/2 + (11*s[36])/3 - (187*s[37])/24 - 
       (593*s[38])/4 + 569*s[39] - (3697*s[40])/6 + (3801*s[41])/8 - 
       (19397*s[42])/24 - (27557*s[43])/66 + (122555*s[44])/264 - 
       (73813*s[45])/176 + (1892161*s[46])/528 - (50569*s[47])/198 + 
       (55249*s[48])/396 + (386227*s[49])/198 - (353119*s[50])/132 - 
       (469127*s[51])/792 - (392525*s[52])/792 + (2877671*s[53])/1584 - 
       (42049*s[54])/264 + (1512299*s[55])/132 + (2308285*s[56])/792 - 
       (12165793*s[57])/2376 + (86818297*s[58])/14256 - 
       (43357871*s[59])/7128 - (270191765*s[60])/9504 + 
       (360132785*s[61])/256608 + s[62]/4 - s[65] - 4*s[66] + 6*s[67] + 
       s[68] + 11*s[69] + 5*s[70] + s[71]/4 + 2*s[72] - 6*s[73] + 
       (3*s[74])/2 - (3*s[75])/2 + 4*s[76] - 4*s[77] + 2*s[78] - 28*s[79] - 
       s[80]/4 + 6*s[82] + 3*s[83] - 18*s[84] + 16*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]^2*(10*s[2] - (75*s[3])/2 - 
       (941*s[4])/4 - (10199*s[5])/88 - (25171*s[6])/88 - (202589*s[7])/66 + 
       (210263*s[8])/792 + (184255*s[9])/72 + (55415*s[10])/72 + 
       (228601*s[11])/66 + (1033079*s[12])/264 + (621905*s[13])/264 + 
       (25327*s[14])/264 + (94279*s[15])/24 + (1349639*s[16])/264 + 
       (317291*s[17])/88 + (114629*s[18])/216 + (15173*s[19])/27 + 
       (14002969*s[20])/2376 + (597116*s[21])/297 - (3813101*s[22])/2376 - 
       (1050553*s[23])/264 - (8152355*s[24])/2376 + (194880527*s[25])/42768 - 
       (100106603*s[26])/42768 - s[30] + 2*s[31] - 2*s[32] - s[33] - 
       5*s[34] - 2*s[35] - (41*s[36])/6 - (83*s[37])/4 - (289*s[38])/2 + 
       (3701*s[39])/8 - (11971*s[40])/24 + (3027*s[41])/8 - 
       (14393*s[42])/24 - (109577*s[43])/264 + (217201*s[44])/528 - 
       (45119*s[45])/88 + (489073*s[46])/132 - (203831*s[47])/1584 - 
       (161393*s[48])/1584 + (3098813*s[49])/1584 - (375271*s[50])/132 - 
       (623473*s[51])/1584 - (554671*s[52])/1584 + (186338*s[53])/99 + 
       (1792*s[54])/33 + (6546179*s[55])/528 + (4994975*s[56])/1584 - 
       (3722057*s[57])/1188 + (82714171*s[58])/14256 - 
       (83098075*s[59])/14256 - (298865969*s[60])/9504 + 
       (100336439*s[61])/64152 - s[65] - 4*s[66] + 6*s[67] + s[68] + 
       11*s[69] + 2*s[70] + s[71] + 2*s[72] - 6*s[73] - s[74] + s[75] + 
       4*s[76] - 5*s[77] + 8*s[78] - 40*s[79] + (17*s[80])/2 + 6*s[82] + 
       3*s[83] - 18*s[84] + 16*s[85]) + HPL[{0, 0, 1}, 1 - u]*Omega2[v, w, u]*
      ((-17*s[2])/2 + (25*s[3])/4 + (369*s[4])/8 - (776*s[5])/11 - 
       (3955*s[6])/88 - (759239*s[7])/1584 - (8915*s[8])/264 + 
       (5549*s[9])/12 + (818*s[10])/3 + (264677*s[11])/528 + 
       (34025*s[12])/88 + (333067*s[13])/1584 + (172775*s[14])/528 + 
       (120749*s[15])/144 + (384619*s[16])/396 + (1732301*s[17])/1584 + 
       (1798*s[18])/27 + (38383*s[19])/216 + (2896909*s[20])/2376 + 
       (2635861*s[21])/4752 - (417359*s[22])/1584 + (363155*s[23])/792 - 
       (576647*s[24])/792 + (9931565*s[25])/21384 - (8043797*s[26])/21384 + 
       s[30] - 4*s[31] + (5*s[32])/2 - 2*s[33] + 9*s[34] + s[35] + 
       (25*s[36])/3 + (23*s[37])/3 - 17*s[38] + 67*s[39] - (154*s[40])/3 + 
       (99*s[41])/2 - (1019*s[42])/12 - (2333*s[43])/33 + (22939*s[44])/264 + 
       (3977*s[45])/132 + (6915*s[46])/44 + (9595*s[47])/792 - 
       (47165*s[48])/792 + (369833*s[49])/792 - (14227*s[50])/66 - 
       (27895*s[51])/792 + (13265*s[52])/792 + (2551*s[53])/22 + 
       (3071*s[54])/11 + (34175*s[55])/88 - (265253*s[56])/792 + 
       (367333*s[57])/1188 - (425527*s[58])/7128 - (1125263*s[59])/7128 - 
       (9169373*s[60])/4752 - (5976847*s[61])/64152 + s[65] + 4*s[66] - 
       6*s[67] - 13*s[69] - s[71] - 2*s[72] + 4*s[73] + (3*s[74])/2 - 
       (3*s[75])/2 - s[76] + 5*s[77] - 10*s[78] + 36*s[79] - (29*s[80])/3 - 
       10*s[82] - 3*s[83] + 18*s[84] + 16*s[85]) + HPL[{0, 0, 1}, 1 - w]*
      Omega2[u, v, w]*((-3*s[2])/2 + 16*s[3] + 56*s[4] - (747*s[5])/44 + 
       (1275*s[6])/11 + (485311*s[7])/792 - (35413*s[8])/594 - 
       (25037*s[9])/54 - (20351*s[10])/108 - (276259*s[11])/396 - 
       (643135*s[12])/792 - (407599*s[13])/792 - (99455*s[14])/792 - 
       (49241*s[15])/72 - (408113*s[16])/396 - (92515*s[17])/132 - 
       (29543*s[18])/324 - (19319*s[19])/162 - (4348237*s[20])/3564 - 
       (2378921*s[21])/7128 + (2161771*s[22])/7128 + (317003*s[23])/792 + 
       (5581615*s[24])/7128 - (60028703*s[25])/64152 + 
       (28668221*s[26])/64152 - s[30] - 4*s[31] + s[32] - 5*s[33] + 
       11*s[34] + 4*s[35] + (25*s[36])/2 + (41*s[37])/12 + 2*s[38] + 
       (131*s[39])/8 + (9*s[40])/8 + (31*s[41])/8 - (353*s[42])/8 + 
       (3907*s[43])/88 - (673*s[44])/176 + (38095*s[45])/264 - 
       (20378*s[46])/33 - (7123*s[47])/176 + (22863*s[48])/176 - 
       (7539*s[49])/176 + (4274*s[50])/11 - (8047*s[51])/528 + 
       (3313*s[52])/176 - (52895*s[53])/198 + (11387*s[54])/66 - 
       (1108901*s[55])/528 - (1330325*s[56])/1584 - (338527*s[57])/1188 - 
       (11721997*s[58])/14256 + (8871769*s[59])/14256 + 
       (16536709*s[60])/3168 - (25396541*s[61])/64152 + s[65] + 4*s[66] - 
       6*s[67] - s[68] - 11*s[69] + 2*s[70] - s[71] - 2*s[72] + 6*s[73] + 
       (5*s[74])/2 - (5*s[75])/2 - 7*s[76] + 3*s[77] - 8*s[78] + 18*s[79] - 
       (25*s[80])/6 - 10*s[82] - 3*s[83] + 18*s[84] + 16*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*M1[u, v, w]*((47*s[2])/6 + 13*s[3] + 
       (5897*s[4])/24 + (10327*s[5])/66 + (27761*s[6])/66 + (84297*s[7])/22 - 
       (91213*s[8])/297 - (348629*s[9])/108 - (55055*s[10])/54 - 
       (6682235*s[11])/1584 - (7298641*s[12])/1584 - (2210491*s[13])/792 - 
       (329881*s[14])/792 - (367643*s[15])/72 - (2562671*s[16])/396 - 
       (7882421*s[17])/1584 - (432971*s[18])/648 - (199259*s[19])/324 - 
       (53824015*s[20])/7128 - (19282057*s[21])/7128 + (1794064*s[22])/891 + 
       (6967669*s[23])/1584 + (60365311*s[24])/14256 - 
       (86641453*s[25])/16038 + (93838907*s[26])/32076 - s[30]/6 + 
       (7*s[31])/3 - (2*s[32])/3 + (15*s[33])/8 - (7*s[34])/2 - s[35]/3 - 
       (32*s[36])/3 + (9*s[37])/2 + 140*s[38] - (13027*s[39])/24 + 
       (14579*s[40])/24 - (11657*s[41])/24 + (18619*s[42])/24 + 
       (132601*s[43])/264 - (269639*s[44])/528 + (142489*s[45])/264 - 
       (187915*s[46])/44 + (239165*s[47])/1584 + (165047*s[48])/1584 - 
       (3574349*s[49])/1584 + (109097*s[50])/33 + (826057*s[51])/1584 + 
       (675025*s[52])/1584 - (75392*s[53])/33 + (1277*s[54])/132 - 
       (7616329*s[55])/528 - (5860579*s[56])/1584 + (1081942*s[57])/297 - 
       (93602963*s[58])/14256 + (95919311*s[59])/14256 + 
       (334570133*s[60])/9504 - (115863763*s[61])/64152 - s[68] + s[69] - 
       s[71] + 2*s[72] - (13*s[74])/6 + (13*s[75])/6 - (10*s[76])/3 - 
       (4*s[77])/3 + 2*s[78] + 44*s[79] - 3*s[80] - 7*s[82] + 24*s[84] + 
       16*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u]*((-83*s[2])/6 - (483*s[3])/4 - (361*s[4])/8 + 
       (137*s[5])/33 - (38671*s[6])/264 - (1450171*s[7])/4752 + 
       (19579*s[8])/7128 + (7090*s[9])/81 + (19255*s[10])/162 + 
       (2054455*s[11])/4752 + (1180879*s[12])/2376 + (200135*s[13])/528 + 
       (143533*s[14])/4752 + (59783*s[15])/144 + (263191*s[16])/396 + 
       (2530241*s[17])/4752 - (5023*s[18])/243 + (556283*s[19])/1944 + 
       (11014631*s[20])/21384 + (4177483*s[21])/42768 - 
       (2889299*s[22])/42768 + (6121*s[23])/264 - (16047043*s[24])/21384 + 
       (66081079*s[25])/96228 - (28122247*s[26])/96228 + (2*s[30])/3 + 
       (14*s[31])/3 - (7*s[32])/6 + (67*s[33])/12 - (26*s[34])/3 - 
       (5*s[35])/3 - (151*s[36])/9 - (359*s[37])/18 - (50*s[38])/3 - 
       (337*s[39])/3 + (1249*s[40])/9 - (961*s[41])/6 + (4585*s[42])/18 - 
       (1234*s[43])/99 - (48733*s[44])/792 - (21625*s[45])/396 - 
       (132541*s[46])/396 + (355889*s[47])/2376 - (628831*s[48])/2376 - 
       (288647*s[49])/2376 + (95461*s[50])/198 + (530653*s[51])/2376 + 
       (257101*s[52])/2376 - (174709*s[53])/594 - (7963*s[54])/99 - 
       (1003927*s[55])/792 - (192547*s[56])/792 + (152078*s[57])/99 - 
       (5122999*s[58])/7128 + (5335945*s[59])/7128 + (27964907*s[60])/14256 - 
       (4577351*s[61])/64152 - (2*s[65])/3 - (8*s[66])/3 + (10*s[67])/3 + 
       (19*s[68])/3 + (31*s[69])/3 - (2*s[70])/3 + (2*s[71])/3 + 
       (22*s[72])/3 - 12*s[73] - (11*s[74])/2 + (11*s[75])/2 - (8*s[76])/3 + 
       (10*s[77])/3 + (34*s[78])/3 + (224*s[79])/3 - (191*s[80])/9 + 
       24*s[82] + 2*s[83] + 24*s[84] + 16*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((205*s[2])/6 - (278*s[3])/3 + (6953*s[4])/12 + (39349*s[5])/66 + 
       (39563*s[6])/33 + (27340123*s[7])/2376 - (999599*s[8])/1188 - 
       (535523*s[9])/54 - (341327*s[10])/108 - (1104815*s[11])/88 - 
       (10693981*s[12])/792 - (2396017*s[13])/297 - (59927*s[14])/33 - 
       (3342949*s[15])/216 - (46254191*s[16])/2376 - (36520219*s[17])/2376 - 
       (232367*s[18])/108 - (58295*s[19])/36 - (27635767*s[20])/1188 - 
       (30995903*s[21])/3564 + (5465540*s[22])/891 + (14884055*s[23])/1188 + 
       (22214623*s[24])/1782 - (1005048133*s[25])/64152 + 
       (568027411*s[26])/64152 - (26*s[30])/3 + (44*s[31])/3 - (22*s[32])/3 + 
       (43*s[33])/6 - (79*s[34])/3 + (38*s[35])/3 - (502*s[36])/9 + 
       (191*s[37])/12 + (1217*s[38])/3 - (20255*s[39])/12 + 
       (67213*s[40])/36 - (6093*s[41])/4 + (44839*s[42])/18 + 
       (567263*s[43])/396 - (309013*s[44])/198 + (130917*s[45])/88 - 
       (9954349*s[46])/792 + (1371785*s[47])/2376 + (216191*s[48])/2376 - 
       (15968009*s[49])/2376 + (978584*s[50])/99 + (4108213*s[51])/2376 + 
       (1566659*s[52])/1188 - (16155323*s[53])/2376 - (8300*s[54])/99 - 
       (33583247*s[55])/792 - (25632641*s[56])/2376 + (20850209*s[57])/1782 - 
       (52064222*s[58])/2673 + (427461349*s[59])/21384 + 
       (733620373*s[60])/7128 - (2025417257*s[61])/384912 + (7*s[62])/2 - 
       (5*s[65])/3 - (20*s[66])/3 + (34*s[67])/3 + (10*s[68])/3 + 
       (70*s[69])/3 + (10*s[70])/3 - s[71]/3 + (38*s[72])/3 - (58*s[73])/3 - 
       (83*s[74])/6 + (83*s[75])/6 + 5*s[76] - (25*s[77])/3 + (37*s[78])/3 + 
       146*s[79] - (63*s[80])/2 - 96*s[82] + 5*s[83] + 78*s[84] + 16*s[85]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((1423*s[2])/48 - (555*s[3])/32 + (545977*s[4])/576 + 
       (291325*s[5])/396 + (3986903*s[6])/2112 + (213162571*s[7])/12672 - 
       (78689177*s[8])/57024 - (36975377*s[9])/2592 - (11489911*s[10])/2592 - 
       (699171827*s[11])/38016 - (381182969*s[12])/19008 - 
       (456505655*s[13])/38016 - (86459717*s[14])/38016 - 
       (25753657*s[15])/1152 - (538650097*s[16])/19008 - 
       (831975293*s[17])/38016 - (6180745*s[18])/1944 - 
       (35206291*s[19])/15552 - (5737917289*s[20])/171072 - 
       (4184664131*s[21])/342144 + (3038584315*s[22])/342144 + 
       (188655481*s[23])/9504 + (1545399061*s[24])/85536 - 
       (35929750111*s[25])/1539648 + (19902764905*s[26])/1539648 + 2*s[29] + 
       (7*s[30])/6 + (143*s[31])/12 - (19*s[32])/2 + (259*s[33])/32 - 
       (173*s[34])/12 - (109*s[35])/24 - (448*s[36])/9 + (4807*s[37])/72 + 
       (39277*s[38])/72 - (77655*s[39])/32 + (790727*s[40])/288 - 
       (621709*s[41])/288 + (115315*s[42])/32 + (2131643*s[43])/1056 - 
       (14232781*s[44])/6336 + (1843921*s[45])/792 - (59623591*s[46])/3168 + 
       (1898719*s[47])/2112 + (177593*s[48])/2112 - (58552267*s[49])/6336 + 
       (22826861*s[50])/1584 + (47031209*s[51])/19008 + 
       (12521929*s[52])/6336 - (31758449*s[53])/3168 + (1150517*s[54])/1584 - 
       (44487769*s[55])/704 - (109178401*s[56])/6336 + 
       (185758465*s[57])/9504 - (1714591081*s[58])/57024 + 
       (1725973615*s[59])/57024 + (1922194559*s[60])/12672 - 
       (4266179275*s[61])/513216 - s[64]/2 - s[65]/2 - (2*s[66])/3 + 
       (5*s[67])/2 + (32*s[68])/3 + (4*s[69])/3 - (17*s[70])/6 - s[71]/2 + 
       (137*s[72])/12 - (187*s[73])/12 - (667*s[74])/48 + (193*s[75])/16 - 
       (163*s[76])/12 + (81*s[77])/8 + (67*s[78])/4 + 297*s[79] - 
       (3185*s[80])/36 + (195*s[82])/2 + (5*s[83])/4 + 77*s[84] + 17*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((1853*s[2])/48 - (4883*s[3])/96 + (84085*s[4])/192 + 
       (700705*s[5])/1584 + (5729567*s[6])/6336 + (322444249*s[7])/38016 - 
       (14315551*s[8])/19008 - (1580575*s[9])/216 - (889399*s[10])/432 - 
       (12981865*s[11])/1408 - (63993995*s[12])/6336 - 
       (228106751*s[13])/38016 - (5079365*s[14])/4224 - 
       (12812657*s[15])/1152 - (266078335*s[16])/19008 - 
       (404725477*s[17])/38016 - (4678927*s[18])/2592 - 
       (3863275*s[19])/5184 - (967983943*s[20])/57024 - 
       (241444799*s[21])/38016 + (515498969*s[22])/114048 + 
       (104092165*s[23])/9504 + (244124987*s[24])/28512 - 
       (662857025*s[25])/57024 + (374514209*s[26])/57024 + (11*s[30])/12 + 
       (293*s[31])/12 - (25*s[32])/6 + (2539*s[33])/96 - (377*s[34])/12 - 
       (31*s[35])/24 - (875*s[36])/36 + (9587*s[37])/144 + (913*s[38])/3 - 
       (400063*s[39])/288 + (439919*s[40])/288 - (325195*s[41])/288 + 
       (67005*s[42])/32 + (3433609*s[43])/3168 - (3773447*s[44])/3168 + 
       (1174859*s[45])/1056 - (5039929*s[46])/528 + (5972849*s[47])/9504 - 
       (845057*s[48])/4752 - (45436103*s[49])/9504 + (11290535*s[50])/1584 + 
       (415678*s[51])/297 + (5372801*s[52])/4752 - (24138055*s[53])/4752 + 
       (478277*s[54])/528 - (297856577*s[55])/9504 - (84059645*s[56])/9504 + 
       (21505433*s[57])/1782 - (337605343*s[58])/21384 + 
       (1360307359*s[59])/85536 + (2142825331*s[60])/28512 - 
       (6293966321*s[61])/1539648 - s[65]/4 - s[66] + s[67]/6 + 3*s[68] - 
       (8*s[69])/3 - 10*s[70] + (41*s[71])/24 + (91*s[72])/12 + 
       (13*s[73])/4 - (449*s[74])/48 + (409*s[75])/48 - (395*s[76])/12 + 
       (71*s[77])/8 + (73*s[78])/4 + (907*s[79])/6 - (2581*s[80])/72 - 
       (31*s[82])/2 + (189*s[84])/2 + 17*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((-5*s[2])/9 + (37*s[3])/18 + (11*s[4])/8 + (21301*s[5])/396 + 
       (72217*s[6])/396 + (9303743*s[7])/14256 - (373145*s[8])/21384 - 
       (268825*s[9])/486 - (330311*s[10])/1944 - (9862337*s[11])/14256 - 
       (5071727*s[12])/7128 - (2062271*s[13])/4752 - (5700779*s[14])/14256 - 
       (317161*s[15])/432 - (5113477*s[16])/4752 - (3232315*s[17])/3564 - 
       (3066955*s[18])/11664 + (1112791*s[19])/11664 - 
       (95422753*s[20])/64152 - (5811587*s[21])/8019 + 
       (41469883*s[22])/128304 + (3445939*s[23])/4752 + 
       (34151015*s[24])/64152 - (212883677*s[25])/288684 + 
       (717167309*s[26])/1154736 - (13*s[30])/9 + 3*s[32] - (5*s[34])/9 - 
       (20*s[35])/9 - (53*s[36])/27 - (1067*s[37])/54 + (137*s[38])/12 - 
       (141*s[39])/8 + (6823*s[40])/216 - (621*s[41])/8 + (6473*s[42])/216 + 
       (107573*s[43])/2376 - (10651*s[44])/297 + (224045*s[45])/1188 - 
       (248815*s[46])/264 - (21598*s[47])/891 + (74564*s[48])/891 - 
       (1872983*s[49])/14256 + (196648*s[50])/297 + (917839*s[51])/14256 + 
       (640217*s[52])/7128 - (120475*s[53])/264 + (15921*s[54])/88 - 
       (8169323*s[55])/2376 - (17892997*s[56])/14256 + (1662059*s[57])/5346 - 
       (193945067*s[58])/128304 + (172345301*s[59])/128304 + 
       (647189855*s[60])/85536 - (743869085*s[61])/1154736 + (5*s[68])/9 + 
       (13*s[69])/9 - (7*s[71])/2 - (5*s[74])/18 + (5*s[75])/18 + 
       (80*s[76])/9 + (5*s[77])/9 - (8*s[78])/9 - (92*s[79])/9 + 
       (977*s[80])/54 + (166*s[82])/3 + (52*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      (18*s[2] - (815*s[3])/36 + (21449*s[4])/36 + (305051*s[5])/792 + 
       (92651*s[6])/88 + (6686807*s[7])/792 - (71348*s[8])/99 - 
       (14253*s[9])/2 - (23087*s[10])/12 - (14877857*s[11])/1584 - 
       (16475579*s[12])/1584 - (10140413*s[13])/1584 - (56497*s[14])/66 - 
       (783071*s[15])/72 - (7397959*s[16])/528 - (1029713*s[17])/99 - 
       (38093*s[18])/24 - (24563*s[19])/24 - (25846253*s[20])/1584 - 
       (9483995*s[21])/1584 + (5291317*s[22])/1188 + (5967059*s[23])/528 + 
       (13955891*s[24])/1584 - (129209365*s[25])/10692 + 
       (282099541*s[26])/42768 + 3*s[30] + 10*s[31] - (67*s[32])/18 + 
       (41*s[33])/4 - 19*s[34] - 2*s[35] - (103*s[36])/3 + (127*s[37])/6 + 
       (12703*s[38])/36 - (25873*s[39])/18 + (28699*s[40])/18 - 
       (7859*s[41])/6 + (38177*s[42])/18 + (119360*s[43])/99 - 
       (2095679*s[44])/1584 + (438719*s[45])/396 - (329704*s[46])/33 + 
       (2721065*s[47])/4752 + (73475*s[48])/4752 - (25696139*s[49])/4752 + 
       (165431*s[50])/22 + (7043269*s[51])/4752 + (5675635*s[52])/4752 - 
       (1521574*s[53])/297 + (203777*s[54])/396 - (152654681*s[55])/4752 - 
       (14043197*s[56])/1584 + (4822373*s[57])/396 - (232920613*s[58])/
        14256 + (234288691*s[59])/14256 + (2279068751*s[60])/28512 - 
       (530991305*s[61])/128304 - s[65] - 4*s[66] + 8*s[67] + (41*s[68])/9 + 
       (121*s[69])/9 + 8*s[72] - 12*s[73] - 9*s[74] + 9*s[75] - 8*s[76] - 
       (49*s[77])/9 + 14*s[78] + 124*s[79] - 29*s[80] - (365*s[82])/3 + 
       3*s[83] + 54*s[84] + (52*s[85])/3) + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]^3*((35*s[2])/8 + (397*s[3])/48 + (24479*s[4])/96 + 
       (29187*s[5])/176 + (144651*s[6])/352 + (73150807*s[7])/19008 - 
       (10366801*s[8])/28512 - (2083799*s[9])/648 - (633193*s[10])/648 - 
       (80155117*s[11])/19008 - (43956361*s[12])/9504 - (1928423*s[13])/704 - 
       (6803167*s[14])/19008 - (992929*s[15])/192 - (20653979*s[16])/3168 - 
       (96048419*s[17])/19008 - (326617*s[18])/486 - (4665311*s[19])/7776 - 
       (643639937*s[20])/85536 - (458287237*s[21])/171072 + 
       (344255057*s[22])/171072 + (2518655*s[23])/528 + 
       (176795105*s[24])/42768 - (2093186677*s[25])/384912 + 
       (1126445017*s[26])/384912 - (7*s[28])/12 - (5*s[29])/3 + 
       (13*s[30])/6 + (4*s[31])/3 - (67*s[32])/24 + (247*s[33])/48 - 
       (55*s[34])/12 - (43*s[35])/12 - (613*s[36])/72 + (809*s[37])/72 + 
       (2203*s[38])/24 - (48209*s[39])/96 + (157663*s[40])/288 - 
       (40955*s[41])/96 + (219917*s[42])/288 + (1133885*s[43])/3168 - 
       (2816863*s[44])/6336 + (317993*s[45])/792 - (11261719*s[46])/3168 + 
       (4680653*s[47])/19008 - (2153185*s[48])/19008 - 
       (34165271*s[49])/19008 + (1098739*s[50])/396 + (9925219*s[51])/19008 + 
       (7347685*s[52])/19008 - (2324797*s[53])/1188 + (7807*s[54])/99 - 
       (76209637*s[55])/6336 - (6558253*s[56])/2112 + (18376025*s[57])/4752 - 
       (323086397*s[58])/57024 + (328434779*s[59])/57024 + 
       (3224645957*s[60])/114048 - (264370573*s[61])/171072 + (2*s[63])/3 - 
       (5*s[65])/4 - (11*s[66])/3 + (31*s[67])/6 + (5*s[68])/2 + 7*s[69] - 
       (16*s[70])/3 + 2*s[71] + (41*s[72])/6 - (21*s[73])/4 - (31*s[74])/6 + 
       (125*s[75])/24 - s[76] + (29*s[77])/12 + (37*s[78])/4 + 38*s[79] - 
       (365*s[80])/18 + (301*s[82])/2 + 2*s[83] + 17*s[84] + 19*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
      ((71*s[2])/8 + (77*s[3])/6 + (38213*s[4])/96 + (9949*s[5])/32 + 
       (34849*s[6])/48 + (5731507*s[7])/864 - (79393*s[8])/144 - 
       (16835*s[9])/3 - (491005*s[10])/288 - (523459*s[11])/72 - 
       (763411*s[12])/96 - (4103933*s[13])/864 - (118469*s[14])/144 - 
       (7616393*s[15])/864 - (9615755*s[16])/864 - (1849759*s[17])/216 - 
       (1666043*s[18])/1296 - (580343*s[19])/648 - (8541799*s[20])/648 - 
       (12552149*s[21])/2592 + (1504523*s[22])/432 + (6979699*s[23])/864 + 
       (2040023*s[24])/288 - (53814575*s[25])/5832 + (59736775*s[26])/11664 - 
       (7*s[30])/24 + (41*s[31])/12 + (37*s[32])/24 + (241*s[33])/96 - 
       (41*s[34])/8 - (37*s[35])/12 - (301*s[36])/18 + (1805*s[37])/72 + 
       (1505*s[38])/6 - (23975*s[39])/24 + (79657*s[40])/72 - 
       (20809*s[41])/24 + (52147*s[42])/36 + (689783*s[43])/792 - 
       (719909*s[44])/792 + (96011*s[45])/99 - (2037271*s[46])/264 + 
       (1665995*s[47])/4752 + (341111*s[48])/4752 - (4678727*s[49])/1188 + 
       (1173593*s[50])/198 + (1194997*s[51])/1188 + (238048*s[52])/297 - 
       (818219*s[53])/198 + (49213*s[54])/264 - (10322131*s[55])/396 - 
       (8112961*s[56])/1188 + (100739785*s[57])/14256 - 
       (515485433*s[58])/42768 + (523983971*s[59])/42768 + 
       (112122185*s[60])/1782 - (1281980699*s[61])/384912 - s[65]/6 - 
       (2*s[66])/3 + (4*s[67])/3 + (29*s[68])/12 + (2*s[69])/3 + s[70]/3 - 
       s[71]/3 + (25*s[72])/6 - (2*s[73])/3 - (107*s[74])/24 + 
       (107*s[75])/24 - (13*s[76])/3 + (5*s[77])/6 + (29*s[78])/6 + 
       80*s[79] - (623*s[80])/36 + (115*s[82])/2 + s[83]/2 + 36*s[84] + 
       19*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]^2*
      ((133*s[2])/16 + (1277*s[3])/96 + (26403*s[4])/64 + (176155*s[5])/528 + 
       (545393*s[6])/704 + (29620807*s[7])/4224 - (32384813*s[8])/57024 - 
       (7692151*s[9])/1296 - (4775167*s[10])/2592 - (292541729*s[11])/38016 - 
       (79752187*s[12])/9504 - (191027615*s[13])/38016 - 
       (35377589*s[14])/38016 - (32295337*s[15])/3456 - 
       (56193535*s[16])/4752 - (347654207*s[17])/38016 - 
       (2590603*s[18])/1944 - (15381985*s[19])/15552 - 
       (2393544517*s[20])/171072 - (1759771763*s[21])/342144 + 
       (1260760903*s[22])/342144 + (39249053*s[23])/4752 + 
       (647891965*s[24])/85536 - (15009383539*s[25])/1539648 + 
       (8343399799*s[26])/1539648 + (7*s[30])/4 + (41*s[31])/12 - 
       (13*s[32])/24 + (125*s[33])/96 - (61*s[34])/12 - (193*s[35])/24 - 
       (323*s[36])/18 + (1715*s[37])/72 + (495*s[38])/2 - (8147*s[39])/8 + 
       (20279*s[40])/18 - (21199*s[41])/24 + (213215*s[42])/144 + 
       (700165*s[43])/792 - (5917235*s[44])/6336 + (375493*s[45])/396 - 
       (1021469*s[46])/132 + (6714685*s[47])/19008 + (1692877*s[48])/19008 - 
       (76613215*s[49])/19008 + (2352959*s[50])/396 + 
       (19113761*s[51])/19008 + (15133859*s[52])/19008 - 
       (13090867*s[53])/3168 + (82187*s[54])/528 - (164606671*s[55])/6336 - 
       (129654485*s[56])/19008 + (209495785*s[57])/28512 - 
       (2073057007*s[58])/171072 + (2109332407*s[59])/171072 + 
       (7198795609*s[60])/114048 - (2553286049*s[61])/769824 - s[65]/6 - 
       (2*s[66])/3 + (4*s[67])/3 + (29*s[68])/12 + (7*s[69])/6 + 
       (5*s[70])/6 + (11*s[71])/24 + (49*s[72])/12 - (11*s[73])/4 - 
       (229*s[74])/48 + (227*s[75])/48 - (14*s[76])/3 + (3*s[77])/8 + 
       (77*s[78])/12 + 84*s[79] - (202*s[80])/9 + (133*s[82])/2 + s[83]/2 + 
       36*s[84] + 19*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^3*
      ((99*s[2])/16 + (189*s[3])/32 + (22327*s[4])/64 + (9621*s[5])/32 + 
       (132799*s[6])/192 + (21669715*s[7])/3456 - (2542637*s[8])/5184 - 
       (1717217*s[9])/324 - (1114103*s[10])/648 - (23668169*s[11])/3456 - 
       (6415375*s[12])/864 - (15302527*s[13])/3456 - (3285929*s[14])/3456 - 
       (28999831*s[15])/3456 - (1147019*s[16])/108 - (3190343*s[17])/384 - 
       (4729447*s[18])/3888 - (13762763*s[19])/15552 - 
       (196748053*s[20])/15552 - (145329347*s[21])/31104 + 
       (102364435*s[22])/31104 + (6116183*s[23])/864 + 
       (13276423*s[24])/1944 - (1205640259*s[25])/139968 + 
       (677368555*s[26])/139968 - (113*s[30])/24 - (5*s[31])/6 - 
       (25*s[32])/24 - (89*s[33])/16 + (11*s[34])/24 + s[35]/8 - 
       (1009*s[36])/72 + (3799*s[37])/144 + (1723*s[38])/8 - 
       (41087*s[39])/48 + (137795*s[40])/144 - (5957*s[41])/8 + 
       (177301*s[42])/144 + (1233235*s[43])/1584 - (5105293*s[44])/6336 + 
       (2869781*s[45])/3168 - (22170625*s[46])/3168 + (4951871*s[47])/19008 + 
       (2815979*s[48])/19008 - (66597413*s[49])/19008 + (4261403*s[50])/792 + 
       (15755755*s[51])/19008 + (12876409*s[52])/19008 - 
       (8901251*s[53])/2376 + (94019*s[54])/792 - (150915305*s[55])/6336 - 
       (13253627*s[56])/2112 + (54358255*s[57])/9504 - 
       (613225001*s[58])/57024 + (622452455*s[59])/57024 + 
       (6542802041*s[60])/114048 - (521553203*s[61])/171072 + s[63]/6 - 
       s[64]/12 - s[65]/6 - (3*s[67])/4 - 2*s[69] - (13*s[70])/6 - s[71]/3 + 
       (11*s[72])/4 + (17*s[73])/12 - (181*s[74])/48 + (57*s[75])/16 - 
       (25*s[76])/6 + (115*s[77])/24 + (17*s[78])/4 + (227*s[79])/3 - 
       (1235*s[80])/72 + s[81]/72 + (121*s[82])/2 + s[83]/2 + 38*s[84] + 
       19*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*M1[v, u, w]*
      ((-17*s[2])/6 + (23*s[3])/2 + (167*s[4])/12 + (8113*s[5])/132 + 
       (15959*s[6])/132 + (85083*s[7])/88 - (5437*s[8])/132 - 
       (9775*s[9])/12 - (2441*s[10])/6 - (131501*s[11])/132 - 
       (251719*s[12])/264 - (44985*s[13])/88 - (39717*s[14])/88 - 
       (36077*s[15])/24 - (119941*s[16])/66 - (57373*s[17])/33 - 
       (2171*s[18])/12 - (2537*s[19])/12 - (301333*s[20])/132 - 
       (235475*s[21])/264 + (392165*s[22])/792 + (22831*s[23])/88 + 
       (992579*s[24])/792 - (3994849*s[25])/3564 + (2676493*s[26])/3564 - 
       s[30]/3 - (10*s[31])/3 + s[32]/6 - 4*s[33] + 7*s[34] - (2*s[35])/3 + 
       s[36] - (53*s[37])/6 - (5*s[38])/2 + (19*s[39])/6 + (29*s[40])/6 - 
       (143*s[41])/12 - (127*s[42])/12 + (2011*s[43])/66 - (2089*s[44])/66 + 
       (4259*s[45])/44 - (22037*s[46])/44 - (10405*s[47])/264 + 
       (26027*s[48])/264 - (15247*s[49])/88 + (28387*s[50])/66 - 
       (237*s[51])/88 - (244*s[52])/11 - (3438*s[53])/11 - (9755*s[54])/132 - 
       (574987*s[55])/264 - (46437*s[56])/88 - (97003*s[57])/132 - 
       (377095*s[58])/792 + (413257*s[59])/792 + (7512005*s[60])/1584 - 
       (2130179*s[61])/7128 - s[68] + s[69] + s[70] + s[74]/6 - s[75]/6 + 
       (10*s[76])/3 - (5*s[77])/3 - 2*s[78] - (11*s[80])/3 + 112*s[82] + 
       20*s[85]) + HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((15*s[2])/4 + (99*s[3])/8 + (8935*s[4])/16 + (1898*s[5])/11 + 
       (134069*s[6])/176 + (6829711*s[7])/1056 - (2917759*s[8])/4752 - 
       (584789*s[9])/108 - (299033*s[10])/216 - (23234863*s[11])/3168 - 
       (3308017*s[12])/396 - (16660189*s[13])/3168 + (380513*s[14])/3168 - 
       (2311811*s[15])/288 - (1053482*s[16])/99 - (23491873*s[17])/3168 - 
       (88381*s[18])/81 - (1220639*s[19])/1296 - (166756295*s[20])/14256 - 
       (111896569*s[21])/28512 + (97272605*s[22])/28512 + 
       (7572245*s[23])/792 + (5983435*s[24])/891 - (1260172961*s[25])/
        128304 + (626150609*s[26])/128304 - 2*s[29] + 2*s[30] + 7*s[31] - 
       (3*s[32])/2 + (117*s[33])/8 - 25*s[34] - (25*s[35])/2 - 
       (109*s[36])/3 + (165*s[37])/4 + (487*s[38])/2 - (2191*s[39])/2 + 
       (3691*s[40])/3 - (3785*s[41])/4 + (9853*s[42])/6 + (50917*s[43])/66 - 
       (496037*s[44])/528 + (64673*s[45])/88 - (1858837*s[46])/264 + 
       (842023*s[47])/1584 - (250673*s[48])/1584 - (5802925*s[49])/1584 + 
       (352777*s[50])/66 + (1836023*s[51])/1584 + (1511189*s[52])/1584 - 
       (1389901*s[53])/396 + (12304*s[54])/33 - (11418221*s[55])/528 - 
       (9956659*s[56])/1584 + (27020255*s[57])/2376 - 
       (174469103*s[58])/14256 + (170551169*s[59])/14256 + 
       (523189549*s[60])/9504 - (380289959*s[61])/128304 - 4*s[64] - 
       3*s[65] - 4*s[66] + 13*s[67] + 10*s[68] + 21*s[69] + 2*s[70] + 
       3*s[71] + 13*s[72] - 13*s[73] - (39*s[74])/4 + (39*s[75])/4 - 
       3*s[76] - (13*s[77])/2 - 27*s[78] + 152*s[79] - (129*s[80])/2 - 
       14*s[82] + 18*s[84] + 20*s[85]) + HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u]*((109*s[2])/4 - (119*s[3])/8 - 
       (4439*s[4])/16 + (8927*s[5])/44 + (23631*s[6])/176 - 
       (142881*s[7])/352 + (502009*s[8])/1584 + (4475*s[9])/36 - 
       (15655*s[10])/72 + (677641*s[11])/1056 + (161845*s[12])/132 + 
       (851635*s[13])/1056 - (1564463*s[14])/1056 + (26749*s[15])/96 + 
       (65567*s[16])/132 - (762881*s[17])/1056 - (6602*s[18])/27 + 
       (138737*s[19])/432 - (2280115*s[20])/4752 - (8160233*s[21])/9504 - 
       (1992275*s[22])/9504 - (920723*s[23])/264 - (125833*s[24])/297 + 
       (69753659*s[25])/42768 - (4352495*s[26])/42768 - 4*s[27] - 12*s[29] - 
       5*s[30] + 11*s[31] + s[32]/2 + (161*s[33])/8 - 19*s[34] - 
       (11*s[35])/2 + (151*s[36])/6 - (515*s[37])/12 - (221*s[38])/2 + 
       (1607*s[39])/4 - (5327*s[40])/12 + 351*s[41] - (7081*s[42])/12 - 
       (50371*s[43])/132 + (209191*s[44])/528 - (54961*s[45])/264 + 
       (213583*s[46])/88 - (118577*s[47])/1584 - (13373*s[48])/1584 + 
       (2708675*s[49])/1584 - (136787*s[50])/66 - (527845*s[51])/1584 - 
       (378907*s[52])/1584 + (62303*s[53])/44 + (6745*s[54])/22 + 
       (1540669*s[55])/176 + (2616373*s[56])/1584 - (5894879*s[57])/2376 + 
       (52155617*s[58])/14256 - (61403459*s[59])/14256 - 
       (202694243*s[60])/9504 + (79586939*s[61])/128304 - 28*s[63] - 
       4*s[64] + 6*s[66] - s[67] + 22*s[68] + 3*s[69] + 8*s[70] - s[72] + 
       s[73] + (3*s[74])/4 - (3*s[75])/4 - (51*s[77])/2 - s[78] - 112*s[79] + 
       (139*s[80])/6 - 14*s[82] + 18*s[84] + 20*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*M1[v, w, u]*((14*s[2])/3 + 7*s[3] + 
       (5455*s[4])/24 + (17035*s[5])/132 + (47987*s[6])/132 + 
       (2605505*s[7])/792 - (327089*s[8])/1188 - (149603*s[9])/54 - 
       (22151*s[10])/27 - (5784943*s[11])/1584 - (6412943*s[12])/1584 - 
       (108535*s[13])/44 - (26590*s[14])/99 - 4275*s[15] - 
       (241433*s[16])/44 - (6457349*s[17])/1584 - (388549*s[18])/648 - 
       (38428*s[19])/81 - (45528893*s[20])/7128 - (2043766*s[21])/891 + 
       (12361699*s[22])/7128 + (728247*s[23])/176 + (50473913*s[24])/14256 - 
       (75460217*s[25])/16038 + (81182791*s[26])/32076 + s[30]/6 + 
       (5*s[31])/3 + s[32]/6 + (11*s[33])/8 - (5*s[34])/2 - (2*s[35])/3 - 
       11*s[36] + (13*s[37])/3 + (275*s[38])/2 - (12587*s[39])/24 + 
       (14027*s[40])/24 - (11143*s[41])/24 + (18013*s[42])/24 + 
       (123361*s[43])/264 - (253799*s[44])/528 + (130939*s[45])/264 - 
       (262309*s[46])/66 + (86153*s[47])/528 + (37247*s[48])/528 - 
       (1108165*s[49])/528 + (201661*s[50])/66 + (269801*s[51])/528 + 
       (223307*s[52])/528 - (207718*s[53])/99 + (1909*s[54])/66 - 
       (2329153*s[55])/176 - (5487569*s[56])/1584 + (4662377*s[57])/1188 - 
       (89468965*s[58])/14256 + (90882037*s[59])/14256 + 
       (34333895*s[60])/1056 - (53923333*s[61])/32076 - s[71] + 2*s[72] - 
       (7*s[74])/3 + (7*s[75])/3 - (8*s[76])/3 - (2*s[77])/3 + 2*s[78] + 
       44*s[79] - (10*s[80])/3 + 10*s[82] + 24*s[84] + 20*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Omega2[w, u, v]*
      (-9*s[2] + (83*s[3])/2 + (1627*s[4])/8 + (10155*s[5])/88 + 
       (14087*s[6])/44 + (380549*s[7])/132 - (327863*s[8])/1188 - 
       (257599*s[9])/108 - (149785*s[10])/216 - (2492489*s[11])/792 - 
       (2795461*s[12])/792 - (818815*s[13])/396 - (249803*s[14])/792 - 
       (134567*s[15])/36 - (3772289*s[16])/792 - (2785241*s[17])/792 - 
       (208943*s[18])/324 - (97747*s[19])/324 - (5108200*s[20])/891 - 
       (7328995*s[21])/3564 + (10567531*s[22])/7128 + (3160393*s[23])/792 + 
       (21255757*s[24])/7128 - (259679033*s[25])/64152 + 
       (143265473*s[26])/64152 + s[30]/2 - 5*s[31] + (9*s[32])/2 - 
       (53*s[33])/8 + (25*s[34])/2 + 2*s[35] + 6*s[36] + (61*s[37])/6 + 
       96*s[38] - (723*s[39])/2 + (853*s[40])/2 - 316*s[41] + 509*s[42] + 
       (7503*s[43])/22 - (14389*s[44])/44 + (35377*s[45])/66 - 
       (115853*s[46])/33 + (16469*s[47])/132 + (9935*s[48])/132 - 
       (182903*s[49])/132 + (57125*s[50])/22 + (16587*s[51])/44 + 
       (45169*s[52])/132 - (184081*s[53])/99 + (21971*s[54])/66 - 
       (1617815*s[55])/132 - (1410671*s[56])/396 + (3125987*s[57])/1188 - 
       (19669183*s[58])/3564 + (19266343*s[59])/3564 + (2501163*s[60])/88 - 
       (27743339*s[61])/16038 + s[65] + 4*s[66] - 6*s[67] - 13*s[69] - 
       s[71] - 4*s[72] + 8*s[73] + s[74] - s[75] + 5*s[77] - 12*s[78] + 
       52*s[79] - (56*s[80])/3 + 76*s[82] - 3*s[83] + 30*s[84] + 20*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Omega2[u, v, w]*
      ((35*s[2])/4 - (19*s[3])/24 + (6331*s[4])/16 + (3911*s[5])/12 + 
       (35041*s[6])/48 + (2013571*s[7])/288 - (743915*s[8])/1296 - 
       (1926005*s[9])/324 - (1204145*s[10])/648 - (6600971*s[11])/864 - 
       (1795279*s[12])/216 - (4270805*s[13])/864 - (797615*s[14])/864 - 
       (8109869*s[15])/864 - (2549687*s[16])/216 - (7916429*s[17])/864 - 
       (1254127*s[18])/972 - (3926777*s[19])/3888 - (54447931*s[20])/3888 - 
       (39579377*s[21])/7776 + (28739413*s[22])/7776 + (1727599*s[23])/216 + 
       (3678301*s[24])/486 - (339211615*s[25])/34992 + 
       (187487419*s[26])/34992 + (5*s[30])/3 + (19*s[31])/3 - (9*s[32])/2 + 
       (143*s[33])/24 - 11*s[34] - (31*s[35])/6 - (367*s[36])/18 + 
       (85*s[37])/4 + (1325*s[38])/6 - (2825*s[39])/3 + (18793*s[40])/18 - 
       (3269*s[41])/4 + (24731*s[42])/18 + (77896*s[43])/99 - 
       (1377361*s[44])/1584 + (81969*s[45])/88 - (5821091*s[46])/792 + 
       (1653743*s[47])/4752 + (105911*s[48])/4752 - (17465237*s[49])/4752 + 
       (1126607*s[50])/198 + (4540999*s[51])/4752 + (3524641*s[52])/4752 - 
       (1174838*s[53])/297 + (20191*s[54])/198 - (13199419*s[55])/528 - 
       (31013267*s[56])/4752 + (48501661*s[57])/7128 - 
       (492519151*s[58])/42768 + (499673629*s[59])/42768 + 
       (1708453721*s[60])/28512 - (1231047397*s[61])/384912 - s[65]/3 - 
       (4*s[66])/3 + (4*s[67])/3 + s[68]/3 + (7*s[69])/3 - (5*s[70])/3 + 
       s[71]/3 + (13*s[72])/3 - (5*s[73])/3 - (23*s[74])/4 + (23*s[75])/4 - 
       (19*s[76])/3 - (7*s[77])/6 + (25*s[78])/3 + 84*s[79] - (97*s[80])/6 + 
       149*s[82] + s[83] + 34*s[84] + 20*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Omega2[v, w, u]*
      ((29*s[2])/2 + (145*s[3])/12 + (2649*s[4])/4 + (113033*s[5])/264 + 
       (297001*s[6])/264 + (16302757*s[7])/1584 - (6298895*s[8])/7128 - 
       (2816537*s[9])/324 - (1664999*s[10])/648 - (53824565*s[11])/4752 - 
       (29732849*s[12])/2376 - (35768861*s[13])/4752 - (5211953*s[14])/4752 - 
       (5821333*s[15])/432 - (5096159*s[16])/297 - (61052627*s[17])/4752 - 
       (1955947*s[18])/972 - (2501575*s[19])/1944 - (433817155*s[20])/21384 - 
       (314374361*s[21])/42768 + (231841567*s[22])/42768 + 
       (7746887*s[23])/594 + (29140246*s[24])/2673 - (2788683637*s[25])/
        192456 + (1528180573*s[26])/192456 + (19*s[30])/6 + (19*s[31])/3 - 
       2*s[32] + (137*s[33])/24 - (19*s[34])/2 - (5*s[35])/3 - 
       (218*s[36])/9 + (97*s[37])/3 + (1222*s[38])/3 - (4796*s[39])/3 + 
       (16091*s[40])/9 - (2825*s[41])/2 + (41627*s[42])/18 + 
       (143989*s[43])/99 - (584527*s[44])/396 + (51739*s[45])/33 - 
       (1237591*s[46])/99 + (580301*s[47])/1188 + (287393*s[48])/1188 - 
       (7591649*s[49])/1188 + (1893041*s[50])/198 + (1859281*s[51])/1188 + 
       (1527751*s[52])/1188 - (1976369*s[53])/297 + (81643*s[54])/198 - 
       (1393120*s[55])/33 - (13381241*s[56])/1188 + (20321581*s[57])/1782 - 
       (52200961*s[58])/2673 + (106251377*s[59])/5346 + 
       (727823699*s[60])/7128 - (517457593*s[61])/96228 + (2*s[65])/3 + 
       (8*s[66])/3 - (20*s[67])/3 - (14*s[68])/3 - (26*s[69])/3 - 
       (14*s[70])/3 - (8*s[71])/3 + (10*s[72])/3 + (22*s[73])/3 - 
       (11*s[74])/2 + (11*s[75])/2 - (40*s[76])/3 + (16*s[77])/3 + 
       (16*s[78])/3 + 156*s[79] - 22*s[80] - 31*s[82] - 2*s[83] + 76*s[84] + 
       20*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Omega2[w, u, v]*
      ((35*s[2])/4 + (413*s[3])/8 + (14949*s[4])/16 + (23911*s[5])/44 + 
       (266523*s[6])/176 + (42566819*s[7])/3168 - (1840763*s[8])/1584 - 
       (405643*s[9])/36 - (237847*s[10])/72 - (15709951*s[11])/1056 - 
       (2175977*s[12])/132 - (31627327*s[13])/3168 - (1235383*s[14])/1056 - 
       (5055413*s[15])/288 - (17770477*s[16])/792 - (53035139*s[17])/3168 - 
       (270667*s[18])/108 - (812135*s[19])/432 - (124245923*s[20])/4752 - 
       (3308947*s[21])/352 + (66940813*s[22])/9504 + (6832945*s[23])/396 + 
       (34019155*s[24])/2376 - (273640625*s[25])/14256 + 
       (147981545*s[26])/14256 + 3*s[30] + 5*s[31] - (3*s[32])/2 + 
       (41*s[33])/8 - 10*s[34] - (27*s[35])/2 - (119*s[36])/3 + 
       (87*s[37])/2 + (1067*s[38])/2 - (16831*s[39])/8 + (55981*s[40])/24 - 
       (14669*s[41])/8 + (72959*s[42])/24 + (487019*s[43])/264 - 
       (507911*s[44])/264 + (85873*s[45])/44 - (4180931*s[46])/264 + 
       (568969*s[47])/792 + (20132*s[48])/99 - (6551461*s[49])/792 + 
       (796661*s[50])/66 + (826957*s[51])/396 + (336551*s[52])/198 - 
       (1649773*s[53])/198 + (13529*s[54])/33 - (6947297*s[55])/132 - 
       (11076463*s[56])/792 + (37528495*s[57])/2376 - 
       (178750577*s[58])/7128 + (90492607*s[59])/3564 + 
       (612204073*s[60])/4752 - (865221259*s[61])/128304 + 2*s[67] + 
       4*s[68] + s[70] - 2*s[71] + 7*s[72] - 3*s[73] - (39*s[74])/4 + 
       (39*s[75])/4 - 11*s[76] - (3*s[77])/2 + 13*s[78] + 176*s[79] - 
       28*s[80] - 44*s[82] + 84*s[84] + 20*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((1093*s[2])/144 + (4261*s[3])/288 + (311797*s[4])/576 + 
       (1323137*s[5])/3168 + (6181423*s[6])/6336 + (999493481*s[7])/114048 - 
       (41182841*s[8])/57024 - (19229345*s[9])/2592 - (5798299*s[10])/2592 - 
       (366626695*s[11])/38016 - (201318035*s[12])/19008 - 
       (723242221*s[13])/114048 - (40449649*s[14])/38016 - 
       (119888843*s[15])/10368 - (104858293*s[16])/7128 - 
       (1279000007*s[17])/114048 - (13387667*s[18])/7776 - 
       (17867489*s[19])/15552 - (2977264151*s[20])/171072 - 
       (727023373*s[21])/114048 + (1579163995*s[22])/342144 + 
       (616143769*s[23])/57024 + (1603877807*s[24])/171072 - 
       (6291327319*s[25])/513216 + (3474017251*s[26])/513216 + 
       (53*s[30])/36 + (97*s[31])/36 - (149*s[32])/36 - (481*s[33])/288 - 
       (83*s[34])/36 - (415*s[35])/72 - (2171*s[36])/108 + (1297*s[37])/48 + 
       (5783*s[38])/18 - (378827*s[39])/288 + (1256497*s[40])/864 - 
       (108389*s[41])/96 + (412469*s[42])/216 + (10507487*s[43])/9504 - 
       (22389775*s[44])/19008 + (1251127*s[45])/1056 - 
       (46208485*s[46])/4752 + (27526589*s[47])/57024 + 
       (3956603*s[48])/57024 - (286399625*s[49])/57024 + 
       (35236213*s[50])/4752 + (74735845*s[51])/57024 + 
       (60841729*s[52])/57024 - (145719487*s[53])/28512 + 
       (309179*s[54])/1188 - (607948103*s[55])/19008 - 
       (490253855*s[56])/57024 + (904960345*s[57])/85536 - 
       (8001474175*s[58])/513216 + (8030533213*s[59])/513216 + 
       (26885812229*s[60])/342144 - (19325247643*s[61])/4618944 - s[65]/9 - 
       (4*s[66])/9 + (8*s[67])/9 + (14*s[68])/9 - (16*s[69])/9 + 
       (19*s[70])/18 + (11*s[71])/72 + (127*s[72])/36 - (29*s[73])/36 - 
       (809*s[74])/144 + (809*s[75])/144 - (17*s[76])/4 + (89*s[77])/72 + 
       (113*s[78])/36 + (689*s[79])/6 - (285*s[80])/8 + (205*s[82])/2 + 
       s[83]/3 + (107*s[84])/2 + (65*s[85])/3) + HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*((2257*s[2])/144 + 
       (4483*s[3])/96 + (169675*s[4])/192 + (183505*s[5])/288 + 
       (886393*s[6])/576 + (145138039*s[7])/10368 - (17843101*s[8])/15552 - 
       (91710017*s[9])/7776 - (28283365*s[10])/7776 - 
       (159768829*s[11])/10368 - (87344893*s[12])/5184 - 
       (35120831*s[13])/3456 - (16095415*s[14])/10368 - (2388251*s[15])/128 - 
       (13609567*s[16])/576 - (188330867*s[17])/10368 - 
       (60047725*s[18])/23328 - (97454599*s[19])/46656 - 
       (1289128307*s[20])/46656 - (942470317*s[21])/93312 + 
       (685367657*s[22])/93312 + (14558299*s[23])/864 + 
       (354352667*s[24])/23328 - (4128059785*s[25])/209952 + 
       (283639541*s[26])/26244 - (95*s[30])/36 + (247*s[31])/36 - 
       (19*s[32])/36 + (1069*s[33])/288 - (227*s[34])/18 - (1139*s[35])/72 - 
       (4817*s[36])/108 + (4867*s[37])/108 + (37087*s[38])/72 - 
       (593791*s[39])/288 + (1965661*s[40])/864 - (514349*s[41])/288 + 
       (323053*s[42])/108 + (17028395*s[43])/9504 - (35712247*s[44])/19008 + 
       (9203599*s[45])/4752 - (148271203*s[46])/9504 + 
       (40272989*s[47])/57024 + (8626187*s[48])/57024 - 
       (466381613*s[49])/57024 + (57074071*s[50])/4752 + 
       (114988789*s[51])/57024 + (92959897*s[52])/57024 - 
       (237408335*s[53])/28512 + (706093*s[54])/4752 - 
       (996664489*s[55])/19008 - (259739501*s[56])/19008 + 
       (214764643*s[57])/14256 - (51888703*s[58])/2112 + 
       (1428993263*s[59])/57024 + (43588391879*s[60])/342144 - 
       (10247956177*s[61])/1539648 - (19*s[65])/36 - (19*s[66])/9 + 
       (38*s[67])/9 + (20*s[68])/9 + (38*s[69])/9 + (37*s[70])/18 - 
       (29*s[71])/36 + (323*s[72])/36 - (95*s[73])/12 - (499*s[74])/48 + 
       (499*s[75])/48 - (301*s[76])/36 - (239*s[77])/72 + (587*s[78])/36 + 
       (1333*s[79])/9 - (457*s[80])/27 + (105*s[82])/2 + (19*s[83])/12 + 
       76*s[84] + (65*s[85])/3) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*(2*s[2] - (229*s[3])/36 - 
       (2549*s[4])/72 + (11359*s[5])/176 + (19825*s[6])/396 + 
       (1360243*s[7])/2376 + (9655*s[8])/1188 - (28169*s[9])/54 - 
       (134183*s[10])/432 - (550115*s[11])/1056 - (1199305*s[12])/3168 - 
       (93191*s[13])/594 - (678923*s[14])/1584 - (468275*s[15])/432 - 
       (5466217*s[16])/4752 - (12601867*s[17])/9504 - (3409*s[18])/36 - 
       (67463*s[19])/432 - (2451433*s[20])/1584 - (9222377*s[21])/14256 + 
       (267515*s[22])/891 - (2873381*s[23])/9504 + (23365681*s[24])/28512 - 
       (62952971*s[25])/128304 + (27490255*s[26])/64152 + s[32]/12 + 
       (3*s[33])/4 + s[34] + 2*s[35] - (2*s[36])/3 - (499*s[37])/72 - 
       (140*s[38])/9 + (2825*s[39])/48 - (907*s[40])/16 + (1669*s[41])/48 - 
       (12655*s[42])/144 + (20495*s[43])/1584 + (16261*s[44])/1056 + 
       (98773*s[45])/792 - (759115*s[46])/1584 - (685549*s[47])/9504 + 
       (1002401*s[48])/9504 - (593033*s[49])/9504 + (181391*s[50])/396 - 
       (535519*s[51])/9504 - (670961*s[52])/9504 - (1893245*s[53])/4752 - 
       (75521*s[54])/792 - (26519297*s[55])/9504 - (191685*s[56])/352 - 
       (2396795*s[57])/1188 - (3047951*s[58])/28512 + (8481113*s[59])/28512 + 
       (283663679*s[60])/57024 - (28135615*s[61])/85536 + s[68]/6 - s[69]/6 - 
       s[71]/4 + s[74] - s[75] + s[76] + s[77]/6 - 10*s[79] + (53*s[80])/12 + 
       (299*s[82])/3 + 22*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*((11*s[2])/6 + (449*s[3])/72 + 
       (65*s[4])/144 + (15907*s[5])/176 + (225563*s[6])/1584 + 
       (11683447*s[7])/9504 - (516683*s[8])/14256 - (703715*s[9])/648 - 
       (627785*s[10])/1296 - (6005971*s[11])/4752 - (11444977*s[12])/9504 - 
       (6599245*s[13])/9504 - (5362259*s[14])/9504 - (1608871*s[15])/864 - 
       (10532561*s[16])/4752 - (1664401*s[17])/792 - (867917*s[18])/3888 - 
       (917563*s[19])/3888 - (122469433*s[20])/42768 - 
       (96316337*s[21])/85536 + (55216963*s[22])/85536 + 
       (2406287*s[23])/9504 + (129839893*s[24])/85536 - 
       (137965819*s[25])/96228 + (367522027*s[26])/384912 + s[30]/6 - 
       s[32]/2 + (3*s[33])/4 - (7*s[34])/6 - (2*s[35])/3 - (32*s[36])/9 - 
       (79*s[37])/9 + (47*s[38])/4 - (1031*s[39])/48 + (4325*s[40])/144 - 
       (1369*s[41])/48 + (493*s[42])/48 + (4471*s[43])/48 - 
       (20993*s[44])/288 + (29075*s[45])/144 - (38917*s[46])/36 - 
       (54539*s[47])/864 + (139735*s[48])/864 - (366937*s[49])/864 + 
       (21589*s[50])/24 + (6515*s[51])/288 - (3157*s[52])/864 - 
       (35227*s[53])/54 - (7463*s[54])/72 - (145213*s[55])/32 - 
       (869035*s[56])/864 - (491953*s[57])/324 - (8073347*s[58])/7776 + 
       (9076487*s[59])/7776 + (52491001*s[60])/5184 - 
       (19526965*s[61])/34992 + s[68]/6 - s[69]/6 - s[71]/2 + 4*s[73] - 
       s[74]/12 + s[75]/12 + (2*s[76])/3 + s[77]/6 + s[78]/3 - (20*s[79])/3 + 
       (70*s[80])/9 + (299*s[82])/3 + 22*s[85]) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]^2*((41*s[2])/4 + (167*s[3])/16 + 
       (45323*s[4])/96 + (60289*s[5])/176 + (914071*s[6])/1056 + 
       (146758423*s[7])/19008 - (17730463*s[8])/28512 - (8454187*s[9])/1296 - 
       (326395*s[10])/162 - (161641987*s[11])/19008 - (44205299*s[12])/4752 - 
       (35556215*s[13])/6336 - (17816707*s[14])/19008 - (5890507*s[15])/576 - 
       (4580261*s[16])/352 - (190010153*s[17])/19008 - (1377053*s[18])/972 - 
       (8821793*s[19])/7776 - (1306821095*s[20])/85536 - 
       (951934813*s[21])/171072 + (695642105*s[22])/171072 + 
       (28689893*s[23])/3168 + (715643629*s[24])/85536 - 
       (8335801541*s[25])/769824 + (4579848785*s[26])/769824 + s[30]/3 + 
       (35*s[31])/6 - (4*s[32])/3 + (227*s[33])/48 - (59*s[34])/6 - 
       (37*s[35])/12 - (851*s[36])/36 + (1553*s[37])/72 + (1631*s[38])/6 - 
       (6697*s[39])/6 + (44549*s[40])/36 - (2924*s[41])/3 + 
       (233443*s[42])/144 + (374725*s[43])/396 - (810215*s[44])/792 + 
       (805577*s[45])/792 - (6616759*s[46])/792 + (467609*s[47])/1188 + 
       (85799*s[48])/1188 - (20784059*s[49])/4752 + (2540371*s[50])/396 + 
       (5218219*s[51])/4752 + (263935*s[52])/297 - (10501379*s[53])/2376 + 
       (49759*s[54])/396 - (11008369*s[55])/396 - (3871651*s[56])/528 + 
       (40598411*s[57])/4752 - (189156281*s[58])/14256 + 
       (191464589*s[59])/14256 + (1936834469*s[60])/28512 - 
       (76199287*s[61])/21384 - (7*s[65])/12 - (7*s[66])/3 + (25*s[67])/6 + 
       (13*s[68])/6 + (37*s[69])/6 + s[70]/6 + s[71]/12 + (37*s[72])/6 - 
       (15*s[73])/2 - (51*s[74])/8 + (51*s[75])/8 - (16*s[76])/3 - 
       (31*s[77])/12 + (32*s[78])/3 + (286*s[79])/3 - (401*s[80])/18 + 
       (181*s[82])/2 + (7*s[83])/4 + (81*s[84])/2 + 22*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]^2*((151*s[2])/12 + (425*s[3])/48 + 
       (13811*s[4])/32 + (96865*s[5])/264 + (293225*s[6])/352 + 
       (144577271*s[7])/19008 - (16931003*s[8])/28512 - (8371673*s[9])/1296 - 
       (652471*s[10])/324 - (158905487*s[11])/19008 - (21659639*s[12])/2376 - 
       (34597439*s[13])/6336 - (19873871*s[14])/19008 - (5816747*s[15])/576 - 
       (40643945*s[16])/3168 - (188471317*s[17])/19008 - (350206*s[18])/243 - 
       (8395711*s[19])/7776 - (1302867829*s[20])/85536 - 
       (958765421*s[21])/171072 + (686536009*s[22])/171072 + 
       (27725405*s[23])/3168 + (704734733*s[24])/85536 - 
       (8130708997*s[25])/769824 + (4521944275*s[26])/769824 - s[30]/12 + 
       (35*s[31])/6 - (29*s[32])/12 + (151*s[33])/48 - (119*s[34])/12 - 
       (31*s[35])/6 - (569*s[36])/24 + (4271*s[37])/144 + (533*s[38])/2 - 
       (104029*s[39])/96 + (115073*s[40])/96 - (29903*s[41])/32 + 
       (150463*s[42])/96 + (958691*s[43])/1056 - (2092153*s[44])/2112 + 
       (3168217*s[45])/3168 - (12850043*s[46])/1584 + (2486335*s[47])/6336 + 
       (360805*s[48])/6336 - (26650969*s[49])/6336 + (546815*s[50])/88 + 
       (2263187*s[51])/2112 + (5496779*s[52])/6336 - (20303119*s[53])/4752 + 
       (55675*s[54])/396 - (170430521*s[55])/6336 - (135775349*s[56])/19008 + 
       (59906623*s[57])/7128 - (2213267005*s[58])/171072 + 
       (2228969125*s[59])/171072 + (2502951833*s[60])/38016 - 
       (167744471*s[61])/48114 - (7*s[65])/12 - (7*s[66])/3 + (25*s[67])/6 + 
       (8*s[68])/3 + (17*s[69])/3 + (2*s[70])/3 + (7*s[71])/12 + 
       (16*s[72])/3 - (17*s[73])/3 - (77*s[74])/12 + (77*s[75])/12 - 
       5*s[76] - (5*s[77])/3 + (26*s[78])/3 + 83*s[79] - (1465*s[80])/72 + 
       (181*s[82])/2 + (7*s[83])/4 + (81*s[84])/2 + 22*s[85]) + 
     HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*(-11*s[2] + 60*s[3] + 
       66*s[4] - (3819*s[5])/11 - (435*s[6])/22 - (25541*s[7])/11 + 
       (22447*s[8])/198 + (19942*s[9])/9 + (11029*s[10])/18 + 
       (289867*s[11])/132 + (292139*s[12])/132 + (52301*s[13])/66 + 
       (53327*s[14])/66 + 3502*s[15] + (123040*s[16])/33 + 
       (429997*s[17])/132 + (27020*s[18])/27 - (7223*s[19])/27 + 
       (3523271*s[20])/594 + (821911*s[21])/297 - (738079*s[22])/594 - 
       (483365*s[23])/132 - (1855367*s[24])/1188 + (23284471*s[25])/10692 - 
       (20915527*s[26])/10692 - 3*s[32] - 50*s[37] - 93*s[38] + 
       (777*s[39])/2 - (805*s[40])/2 + 236*s[41] - 568*s[42] - 
       (4879*s[43])/22 + (6727*s[44])/44 - (8306*s[45])/11 + 
       (82031*s[46])/22 - (9727*s[47])/33 + (30673*s[48])/66 + 
       (31018*s[49])/33 - (30443*s[50])/11 - (4305*s[51])/11 - 
       (61277*s[52])/132 + (69875*s[53])/33 - (12097*s[54])/22 + 
       (466264*s[55])/33 + (40058*s[56])/11 - (112481*s[57])/66 + 
       (571363*s[58])/99 - (1133813*s[59])/198 - (2841881*s[60])/99 + 
       (2353511*s[61])/1188 - 6*s[68] + 6*s[69] - 6*s[77] + 48*s[82] + 
       24*s[85]) + HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*
      (39*s[3] - (697*s[4])/2 - (5283*s[5])/22 - (5241*s[6])/11 - 
       (241139*s[7])/44 + (138425*s[8])/297 + (248297*s[9])/54 + 
       (78511*s[10])/54 + (2326915*s[11])/396 + (626366*s[12])/99 + 
       (1488601*s[13])/396 + (213907*s[14])/396 + (280859*s[15])/36 + 
       (1836467*s[16])/198 + (2957935*s[17])/396 + (127543*s[18])/162 + 
       (172547*s[19])/162 + (19273307*s[20])/1782 + (13125823*s[21])/3564 - 
       (10178321*s[22])/3564 - (614120*s[23])/99 - (5576141*s[24])/891 + 
       (245911297*s[25])/32076 - (129613261*s[26])/32076 + 14*s[36] - 
       (263*s[37])/6 - 167*s[38] + 728*s[39] - 852*s[40] + (1259*s[41])/2 - 
       (2211*s[42])/2 - (7798*s[43])/11 + (13485*s[44])/22 - 
       (96367*s[45])/132 + (769321*s[46])/132 - (2746*s[47])/11 + 
       (543*s[48])/11 + (32867*s[49])/11 - (50345*s[50])/11 - 
       (45037*s[51])/66 - (14101*s[52])/22 + (1341911*s[53])/396 - 
       (28933*s[54])/66 + (234562*s[55])/11 + (983237*s[56])/198 - 
       (1617653*s[57])/594 + (28814345*s[58])/3564 - (15917377*s[59])/1782 - 
       (38437463*s[60])/792 + (154726321*s[61])/64152 - 3*s[71] - 196*s[79] + 
       (223*s[80])/3 + 48*s[82] + 24*s[85]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - w]*(2*s[2] - (39*s[3])/4 - 
       (835*s[4])/24 - (280*s[5])/33 - (7529*s[6])/264 - (189047*s[7])/1584 + 
       (219539*s[8])/7128 + (31937*s[9])/324 - (22109*s[10])/324 + 
       (841889*s[11])/4752 + (84772*s[12])/297 + (858695*s[13])/4752 - 
       (611011*s[14])/4752 - (7361*s[15])/432 + (237559*s[16])/2376 - 
       (755941*s[17])/4752 + (37081*s[18])/243 - (296381*s[19])/1944 + 
       (2068417*s[20])/21384 + (5788319*s[21])/42768 - 
       (2600911*s[22])/42768 - (2553827*s[23])/2376 + (3491137*s[24])/21384 + 
       (22201247*s[25])/96228 - (4197812*s[26])/24057 - (7*s[30])/3 + 
       2*s[34] + (25*s[35])/3 + (40*s[36])/9 - (80*s[37])/9 - (199*s[38])/6 + 
       (1243*s[39])/8 - (10367*s[40])/72 + (2467*s[41])/24 - 
       (17557*s[42])/72 - (53629*s[43])/792 + (109355*s[44])/1584 + 
       (5641*s[45])/99 + (134507*s[46])/792 - (493237*s[47])/4752 + 
       (537881*s[48])/4752 + (1394923*s[49])/4752 - (2003*s[50])/99 - 
       (507143*s[51])/4752 - (657449*s[52])/4752 - (53555*s[53])/2376 - 
       (33725*s[54])/396 - (824027*s[55])/1584 + (40177*s[56])/528 - 
       (3381391*s[57])/1188 + (13652209*s[58])/14256 - 
       (12814951*s[59])/14256 + (1946435*s[60])/28512 - 
       (863155*s[61])/42768 - 2*s[68] + 2*s[69] + s[71]/6 + s[74] - s[75] + 
       (14*s[76])/3 - 2*s[77] - 4*s[78] + (20*s[79])/3 - (91*s[80])/9 + 
       66*s[82] + 24*s[85]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w]*((-3*s[3])/2 - 9*s[4] + (4579*s[5])/88 + 
       (7435*s[6])/88 + (329111*s[7])/528 - (7781*s[8])/396 - 
       (38741*s[9])/72 - (16897*s[10])/72 - (330901*s[11])/528 - 
       (154285*s[12])/264 - (167513*s[13])/528 - (211831*s[14])/528 - 
       (46231*s[15])/48 - (150041*s[16])/132 - (198791*s[17])/176 - 
       (12173*s[18])/108 - (11269*s[19])/108 - (915275*s[20])/594 - 
       (3001609*s[21])/4752 + (1509779*s[22])/4752 + (4789*s[23])/132 + 
       (1888285*s[24])/2376 - (29070787*s[25])/42768 + 
       (22037971*s[26])/42768 - (3*s[32])/4 - (23*s[37])/6 + (13*s[38])/2 + 
       (67*s[39])/2 - (43*s[40])/2 + (17*s[41])/4 - (317*s[42])/4 + 
       (59*s[43])/2 - (227*s[44])/8 + (285*s[45])/2 - (1123*s[46])/2 - 
       (465*s[47])/8 + (1047*s[48])/8 - (983*s[49])/8 + (1815*s[50])/4 - 
       (683*s[51])/24 - (271*s[52])/8 - (3965*s[53])/12 + (169*s[54])/4 - 
       (66919*s[55])/24 - (18275*s[56])/24 - (115159*s[57])/72 - 
       (88489*s[58])/216 + (103339*s[59])/216 + (92163*s[60])/16 - 
       (678145*s[61])/1944 - 2*s[68] + 2*s[69] - 2*s[77] + 69*s[82] + 
       24*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - u]*
      (2*s[2] - (19*s[3])/2 - (117*s[4])/4 + (2671*s[5])/88 + 
       (1713*s[6])/88 + (182299*s[7])/1584 + (27079*s[8])/1188 - 
       (12673*s[9])/108 - (13211*s[10])/108 - (26329*s[11])/396 + 
       (32987*s[12])/792 + (4531*s[13])/132 - (87613*s[14])/396 - 
       (16895*s[15])/48 - (54399*s[16])/176 - (200867*s[17])/396 + 
       (25703*s[18])/648 - (65603*s[19])/648 - (1539337*s[20])/3564 - 
       (1119761*s[21])/7128 + (469693*s[22])/7128 - (303233*s[23])/528 + 
       (4510967*s[24])/14256 - (1454411*s[25])/64152 + 
       (3175085*s[26])/64152 - 2*s[30] + 2*s[34] + 8*s[35] + (17*s[36])/3 - 
       (73*s[37])/6 - 31*s[38] + (755*s[39])/8 - (1945*s[40])/24 + 
       (455*s[41])/8 - (3563*s[42])/24 - (10343*s[43])/264 + 
       (4321*s[44])/132 + (19205*s[45])/264 - (4363*s[46])/44 - 
       (32501*s[47])/396 + (64721*s[48])/792 + (100681*s[49])/792 + 
       (9871*s[50])/66 - (9709*s[51])/99 - (76361*s[52])/792 - 
       (40501*s[53])/264 - (1973*s[54])/22 - (41593*s[55])/33 - 
       (149953*s[56])/792 - (541219*s[57])/297 + (2437009*s[58])/7128 - 
       (1722571*s[59])/7128 + (4076437*s[60])/2376 - (9315089*s[61])/64152 - 
       2*s[68] + 2*s[69] + s[74] - s[75] + 4*s[76] - 2*s[77] - 4*s[78] + 
       8*s[79] - (28*s[80])/3 + 93*s[82] + 24*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-41*s[2])/6 - 62*s[3] - (2309*s[4])/12 - (769*s[5])/22 - 
       (57677*s[6])/264 - (193132*s[7])/99 + (400753*s[8])/2376 + 
       (332357*s[9])/216 + (13838*s[10])/27 + (3531367*s[11])/1584 + 
       (3941099*s[12])/1584 + (137659*s[13])/88 - (112549*s[14])/792 + 
       (96073*s[15])/36 + (148227*s[16])/44 + (3990515*s[17])/1584 + 
       (133963*s[18])/648 + (372785*s[19])/648 + (12408247*s[20])/3564 + 
       (7764239*s[21])/7128 - (3493439*s[22])/3564 - (1310735*s[23])/528 - 
       (34440569*s[24])/14256 + (392239603*s[25])/128304 - 
       (185688991*s[26])/128304 + (2*s[30])/3 - (4*s[31])/3 - (5*s[32])/6 - 
       s[33] + 2*s[34] - (2*s[35])/3 - (2*s[36])/3 - (83*s[37])/6 - 
       (257*s[38])/3 + (3011*s[39])/12 - (1029*s[40])/4 + (375*s[41])/2 - 
       (1955*s[42])/6 - (28537*s[43])/132 + (53749*s[44])/264 - 
       (5735*s[45])/44 + (28813*s[46])/22 - (16777*s[47])/264 - 
       (3247*s[48])/264 + (255239*s[49])/264 - (10665*s[50])/11 - 
       (139537*s[51])/792 - (47765*s[52])/264 + (64535*s[53])/99 + 
       (399*s[54])/22 + (343457*s[55])/88 + (680117*s[56])/792 - 
       (629326*s[57])/297 + (15953119*s[58])/7128 - (17016865*s[59])/7128 - 
       (16878401*s[60])/1584 + (26127139*s[61])/64152 + s[68] + s[69] - 
       2*s[73] - s[74]/3 + s[75]/3 + (4*s[76])/3 + s[77]/3 - (2*s[80])/3 + 
       108*s[82] + 24*s[85]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w]*(-4*s[3] - 5*s[4] + (7009*s[5])/88 + 
       (8759*s[6])/88 + (443767*s[7])/528 - (4493*s[8])/198 - 
       (27263*s[9])/36 - (5903*s[10])/18 - (57529*s[11])/66 - 
       (111019*s[12])/132 - (124397*s[13])/264 - (94363*s[14])/264 - 
       (20047*s[15])/16 - (801349*s[16])/528 - (61389*s[17])/44 - 
       (41345*s[18])/216 - (25279*s[19])/216 - (579527*s[20])/297 - 
       (947387*s[21])/1188 + (268781*s[22])/594 + (214133*s[23])/528 + 
       (4652047*s[24])/4752 - (20865529*s[25])/21384 + 
       (13968577*s[26])/21384 - s[32] - 10*s[37] - 2*s[38] - (411*s[39])/8 + 
       (507*s[40])/8 - (427*s[41])/8 + (565*s[42])/8 + (5213*s[43])/88 - 
       (6935*s[44])/88 + (12437*s[45])/88 - (38947*s[46])/44 - 
       (5831*s[47])/264 + (5233*s[48])/66 - (23377*s[49])/66 + 
       (15999*s[50])/22 + (8587*s[51])/264 + (457*s[52])/33 - 
       (135893*s[53])/264 - (1080*s[54])/11 - (292983*s[55])/88 - 
       (17725*s[56])/22 - (1921*s[57])/33 - (448853*s[58])/396 + 
       (229411*s[59])/198 + (11990929*s[60])/1584 - (1110565*s[61])/2376 - 
       2*s[68] + 2*s[69] - 2*s[77] + 147*s[82] + 24*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      (-s[2]/6 - 9*s[3] - 13*s[4] + (1365*s[5])/44 + (5945*s[6])/66 + 
       (80801*s[7])/198 + (15883*s[8])/1782 - (121097*s[9])/324 - 
       (14026*s[10])/81 - (295759*s[11])/594 - (1289381*s[12])/2376 - 
       (829789*s[13])/2376 - (513151*s[14])/2376 - (20735*s[15])/54 - 
       (1741279*s[16])/2376 - (614945*s[17])/1188 - (129157*s[18])/972 - 
       (1952*s[19])/243 - (5061979*s[20])/5346 - (8709697*s[21])/21384 + 
       (5103119*s[22])/21384 + (193921*s[23])/1188 + (5115625*s[24])/10692 - 
       (104062777*s[25])/192456 + (67818121*s[26])/192456 - (7*s[32])/6 - 
       s[33]/2 + s[34]/3 - (2*s[36])/9 - (100*s[37])/9 + (11*s[38])/3 - 
       (805*s[39])/12 + (2807*s[40])/36 - (255*s[41])/4 + (3361*s[42])/36 + 
       (28441*s[43])/396 - (41143*s[44])/396 + (20869*s[45])/396 - 
       (115513*s[46])/198 - (13241*s[47])/594 + (177491*s[48])/1188 - 
       (468299*s[49])/1188 + (86939*s[50])/198 + (26027*s[51])/594 + 
       (9388*s[52])/297 - (259903*s[53])/1188 - (24361*s[54])/198 - 
       (135028*s[55])/99 - (201457*s[56])/396 + (416605*s[57])/396 - 
       (3568435*s[58])/3564 + (3061651*s[59])/3564 + (8802473*s[60])/1782 - 
       (9069113*s[61])/32076 - 2*s[68] + 2*s[69] + s[76]/3 - 2*s[77] - 
       s[80]/9 + 156*s[82] + 24*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1}, 1 - u]*(2*s[2] - (33*s[3])/8 - (401*s[4])/16 + 
       (5317*s[5])/88 + (20615*s[6])/176 + (2389865*s[7])/3168 - 
       (21569*s[8])/4752 - (18244*s[9])/27 - (33611*s[10])/108 - 
       (2485541*s[11])/3168 - (149335*s[12])/198 - (422197*s[13])/1056 - 
       (1596473*s[14])/3168 - (98437*s[15])/96 - (240463*s[16])/176 - 
       (4013755*s[17])/3168 - (42805*s[18])/162 + (9011*s[19])/1296 - 
       (26950915*s[20])/14256 - (25146983*s[21])/28512 + 
       (11464531*s[22])/28512 + (221983*s[23])/528 + (11314811*s[24])/14256 - 
       (95336233*s[25])/128304 + (84386419*s[26])/128304 - (3*s[30])/2 + 
       2*s[34] + 8*s[35] + (53*s[36])/12 - (67*s[37])/12 + (61*s[38])/4 - 
       (741*s[39])/16 + (2875*s[40])/48 - (1063*s[41])/16 + (2969*s[42])/48 + 
       (49265*s[43])/528 - (84883*s[44])/1056 + (6441*s[45])/44 - 
       (498851*s[46])/528 - (160663*s[47])/3168 + (593651*s[48])/3168 - 
       (1279595*s[49])/3168 + (24524*s[50])/33 + (93127*s[51])/3168 + 
       (60961*s[52])/3168 - (793393*s[53])/1584 - (6841*s[54])/264 - 
       (3729721*s[55])/1056 - (3424937*s[56])/3168 - (188161*s[57])/2376 - 
       (36337843*s[58])/28512 + (36576973*s[59])/28512 + 
       (159265949*s[60])/19008 - (132256693*s[61])/256608 - 2*s[68] + 
       2*s[69] - (5*s[71])/4 + s[74] - s[75] + 5*s[76] - 2*s[77] - 4*s[78] + 
       8*s[79] - (7*s[80])/2 + 159*s[82] + 24*s[85]) + 
     HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*(-18*s[3] + (47*s[4])/2 + 
       (1655*s[5])/11 + (1564*s[6])/11 + (248867*s[7])/132 - 
       (31307*s[8])/198 - (61241*s[9])/36 - (22027*s[10])/36 - 
       (520231*s[11])/264 - (267715*s[12])/132 - (81603*s[13])/88 - 
       (154903*s[14])/264 - (11377*s[15])/4 - (292329*s[16])/88 - 
       (747419*s[17])/264 - (62431*s[18])/108 - (4147*s[19])/54 - 
       (2639449*s[20])/594 - (4324855*s[21])/2376 + (2412365*s[22])/2376 + 
       (197213*s[23])/88 + (4772555*s[24])/2376 - (47220607*s[25])/21384 + 
       (32226895*s[26])/21384 + (11*s[32])/2 - 31*s[37] + 97*s[38] - 
       (1441*s[39])/4 + (1549*s[40])/4 - 339*s[41] + (1999*s[42])/4 + 
       (20027*s[43])/44 - (18885*s[44])/44 + (18233*s[45])/44 - 
       (38052*s[46])/11 - (41*s[47])/22 + (14955*s[48])/44 - 
       (21845*s[49])/11 + (122587*s[50])/44 + (49121*s[51])/132 + 
       (1534*s[52])/11 - (89843*s[53])/44 - (2683*s[54])/22 - 
       (417884*s[55])/33 - (61379*s[56])/22 - (31937*s[57])/132 - 
       (836905*s[58])/198 + (469559*s[59])/99 + (7963123*s[60])/264 - 
       (4977989*s[61])/3564 - 6*s[68] + 6*s[69] - 6*s[77] + 180*s[82] + 
       24*s[85]) + HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((41*s[3])/4 + (161*s[4])/8 + (4955*s[5])/22 + (20149*s[6])/88 + 
       (432929*s[7])/176 - (104557*s[8])/792 - (19537*s[9])/9 - 
       (31067*s[10])/36 - (1311769*s[11])/528 - (316067*s[12])/132 - 
       (623539*s[13])/528 - (522325*s[14])/528 - (64239*s[15])/16 - 
       (600955*s[16])/132 - (2280247*s[17])/528 - (59183*s[18])/108 - 
       (69953*s[19])/216 - (13847843*s[20])/2376 - (11774143*s[21])/4752 + 
       (6131531*s[22])/4752 + (272273*s[23])/132 + (1676515*s[24])/594 - 
       (14758625*s[25])/5346 + (10725221*s[26])/5346 + 11*s[30] - 
       (21*s[36])/2 - (143*s[37])/2 + (149*s[38])/2 - (1895*s[39])/8 + 
       (2195*s[40])/8 - (1995*s[41])/8 + (2549*s[42])/8 + (35969*s[43])/88 - 
       (58585*s[44])/176 + (20359*s[45])/44 - (286377*s[46])/88 - 
       (54353*s[47])/528 + (223705*s[48])/528 - (966025*s[49])/528 + 
       (119129*s[50])/44 + (28051*s[51])/176 + (5519*s[52])/528 - 
       (186171*s[53])/88 - (11085*s[54])/44 - (7221829*s[55])/528 - 
       (1565759*s[56])/528 - (519473*s[57])/198 - (16640281*s[58])/4752 + 
       (21257479*s[59])/4752 + (96064363*s[60])/3168 - 
       (61626325*s[61])/42768 - 6*s[68] + 6*s[69] - (3*s[71])/2 + 24*s[76] - 
       6*s[77] - 6*s[78] + 12*s[79] - 13*s[80] + 180*s[82] + 24*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1}, 1 - w]*
      ((91*s[2])/4 - (1251*s[3])/8 - (14999*s[4])/16 - (6451*s[5])/22 - 
       (171473*s[6])/176 - (31773481*s[7])/3168 + (5517095*s[8])/4752 + 
       (441605*s[9])/54 + (466849*s[10])/216 + (34891487*s[11])/3168 + 
       (9836983*s[12])/792 + (23689921*s[13])/3168 - (1677109*s[14])/3168 + 
       (3832055*s[15])/288 + (3254569*s[16])/198 + (4199937*s[17])/352 + 
       (289201*s[18])/162 + (2021059*s[19])/1296 + (259400767*s[20])/14256 + 
       (172025357*s[21])/28512 - (145604761*s[22])/28512 - 
       (1565683*s[23])/99 - (73572427*s[24])/7128 + (1919224795*s[25])/
        128304 - (961401883*s[26])/128304 - 10*s[30] + 5*s[31] - 8*s[32] - 
       (97*s[33])/8 - 3*s[34] + (13*s[35])/2 + (253*s[36])/6 - 
       (745*s[37])/12 - (829*s[38])/2 + (6499*s[39])/4 - (20843*s[40])/12 + 
       1313*s[41] - (28147*s[42])/12 - (180151*s[43])/132 + 
       (678895*s[44])/528 - (399035*s[45])/264 + (3093715*s[46])/264 - 
       (1129925*s[47])/1584 + (689167*s[48])/1584 + (8761031*s[49])/1584 - 
       (578153*s[50])/66 - (2699233*s[51])/1584 - (2306779*s[52])/1584 + 
       (1270007*s[53])/198 - (36184*s[54])/33 + (21011539*s[55])/528 + 
       (5584235*s[56])/528 - (9134837*s[57])/792 + (3265321*s[58])/176 - 
       (30106223*s[59])/1584 - (872557595*s[60])/9504 + 
       (218494267*s[61])/42768 - s[62] - s[65] - 4*s[66] + 6*s[67] - 
       3*s[68] + 15*s[69] - 13*s[72] - 9*s[73] + (25*s[74])/4 - 
       (27*s[75])/4 + 18*s[76] + (9*s[77])/2 - 5*s[78] - 60*s[79] - 
       (49*s[80])/6 + 690*s[82] - 9*s[83] - 24*s[84] + 24*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 1 - u]*
      ((61*s[2])/4 - (809*s[3])/8 - (7789*s[4])/16 - (883*s[5])/4 - 
       (9653*s[6])/16 - (520039*s[7])/96 + (83825*s[8])/144 + 
       (39821*s[9])/9 + (78071*s[10])/72 + (561641*s[11])/96 + 
       (156883*s[12])/24 + (375439*s[13])/96 + (4733*s[14])/96 + 
       (682195*s[15])/96 + (103355*s[16])/12 + (204629*s[17])/32 + 
       (113791*s[18])/108 + (322223*s[19])/432 + (4272409*s[20])/432 + 
       (2866355*s[21])/864 - (2330311*s[22])/864 - (47861*s[23])/6 - 
       (1182067*s[24])/216 + (30795193*s[25])/3888 - (15822217*s[26])/3888 - 
       2*s[30] + 5*s[31] - (11*s[32])/2 + (59*s[33])/8 - 7*s[34] + 
       (13*s[35])/2 + (5*s[36])/2 - (457*s[37])/12 - (491*s[38])/2 + 
       868*s[39] - (1801*s[40])/2 + (2709*s[41])/4 - (2343*s[42])/2 - 
       (8172*s[43])/11 + (107781*s[44])/176 - (248801*s[45])/264 + 
       (1721363*s[46])/264 - (222943*s[47])/528 + (113657*s[48])/528 + 
       (1482037*s[49])/528 - (102351*s[50])/22 - (466919*s[51])/528 - 
       (457829*s[52])/528 + (1418603*s[53])/396 - (85495*s[54])/66 + 
       (11739071*s[55])/528 + (9503521*s[56])/1584 - (10638743*s[57])/2376 + 
       (140353517*s[58])/14256 - (142485059*s[59])/14256 - 
       (53425351*s[60])/1056 + (372244613*s[61])/128304 - 4*s[63] - s[65] - 
       4*s[66] + 4*s[67] - 3*s[68] + 15*s[69] + s[71] + 5*s[72] - 27*s[73] + 
       (23*s[74])/4 + (7*s[75])/4 + s[76] - (9*s[77])/2 + 9*s[78] - 
       (37*s[80])/6 + 690*s[82] - 9*s[83] - 24*s[84] + 24*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
      (2*s[2] + (103*s[3])/4 + (947*s[4])/8 + (343*s[5])/2 + (2273*s[6])/8 + 
       (441419*s[7])/144 - (47671*s[8])/216 - (70535*s[9])/27 - 
       (106165*s[10])/108 - (462613*s[11])/144 - (238087*s[12])/72 - 
       (276845*s[13])/144 - (99475*s[14])/144 - (649163*s[15])/144 - 
       (386449*s[16])/72 - (224081*s[17])/48 - (40720*s[18])/81 - 
       (391339*s[19])/648 - (4173635*s[20])/648 - (3102685*s[21])/1296 + 
       (2066129*s[22])/1296 + (22639*s[23])/9 + (2309941*s[24])/648 - 
       (23183615*s[25])/5832 + (13503701*s[26])/5832 - s[30] + 2*s[34] + 
       (17*s[35])/2 - 10*s[36] + (305*s[37])/24 + (219*s[38])/4 - 
       (1039*s[39])/4 + (1225*s[40])/4 - (1623*s[41])/8 + (3169*s[42])/8 + 
       (13719*s[43])/44 - (5957*s[44])/22 + (68155*s[45])/176 - 
       (482513*s[46])/176 + (10487*s[47])/264 + (32003*s[48])/264 - 
       (352925*s[49])/264 + (47555*s[50])/22 + (2263*s[51])/11 + 
       (9709*s[52])/66 - (879007*s[53])/528 + (8017*s[54])/88 - 
       (2776919*s[55])/264 - (83158*s[56])/33 - (142669*s[57])/792 - 
       (16824431*s[58])/4752 + (4743815*s[59])/1188 + (74011183*s[60])/3168 - 
       (107175217*s[61])/85536 + s[62]/4 + (13*s[71])/4 - 4*s[76] + 
       28*s[79] - (117*s[80])/4 + 102*s[82] + 12*s[84] + 24*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - w]*
      ((7*s[2])/2 + (83*s[3])/4 + (2393*s[4])/8 + (977*s[5])/11 + 
       (4738*s[6])/11 + (5810729*s[7])/1584 - (413921*s[8])/1188 - 
       (651953*s[9])/216 - (48379*s[10])/54 - (3267437*s[11])/792 - 
       (7394639*s[12])/1584 - (4551599*s[13])/1584 - (134653*s[14])/1584 - 
       (673087*s[15])/144 - (2414363*s[16])/396 - (569287*s[17])/132 - 
       (384529*s[18])/648 - (205213*s[19])/324 - (24594073*s[20])/3564 - 
       (33364543*s[21])/14256 + (27392429*s[22])/14256 + 
       (7283713*s[23])/1584 + (57687809*s[24])/14256 - 
       (702308683*s[25])/128304 + (359432155*s[26])/128304 + s[30] + 
       4*s[32] + s[33] - 3*s[34] - s[35] - (13*s[36])/3 + (15*s[37])/2 + 
       (255*s[38])/2 - 508*s[39] + (1702*s[40])/3 - (1887*s[41])/4 + 
       (8657*s[42])/12 + (30115*s[43])/66 - (124723*s[44])/264 + 
       (23785*s[45])/44 - (556805*s[46])/132 + (107777*s[47])/792 + 
       (98009*s[48])/792 - (1660931*s[49])/792 + (210127*s[50])/66 + 
       (378649*s[51])/792 + (327067*s[52])/792 - (220213*s[53])/99 + 
       (5311*s[54])/33 - (3675835*s[55])/264 - (2971643*s[56])/792 + 
       (2380853*s[57])/594 - (47592973*s[58])/7128 + (47300149*s[59])/7128 + 
       (163259849*s[60])/4752 - (14854913*s[61])/8019 + 2*s[67] + 2*s[69] + 
       2*s[72] - 2*s[73] - (3*s[74])/2 + (3*s[75])/2 - 6*s[76] - s[77] + 
       2*s[78] + 40*s[79] - 9*s[80] + 162*s[82] + 12*s[84] + 24*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((38*s[2])/3 - 31*s[3] + (1981*s[4])/6 + (9895*s[5])/44 + 
       (52477*s[6])/88 + (4261885*s[7])/792 - (1043369*s[8])/2376 - 
       (992443*s[9])/216 - (147805*s[10])/108 - (9338405*s[11])/1584 - 
       (10230097*s[12])/1584 - (342085*s[13])/88 - (499237*s[14])/792 - 
       (510715*s[15])/72 - (790679*s[16])/88 - (10832929*s[17])/1584 - 
       (648965*s[18])/648 - (448141*s[19])/648 - (37895975*s[20])/3564 - 
       (27604789*s[21])/7128 + (10176121*s[22])/3564 + (3457111*s[23])/528 + 
       (81379117*s[24])/14256 - (962556263*s[25])/128304 + 
       (530069363*s[26])/128304 - (10*s[30])/3 + (14*s[31])/3 - s[32]/3 + 
       (15*s[33])/4 - 7*s[34] + (7*s[35])/3 - (27*s[36])/2 - (16*s[37])/3 + 
       192*s[38] - (19843*s[39])/24 + (22807*s[40])/24 - (6231*s[41])/8 + 
       (9767*s[42])/8 + (203429*s[43])/264 - (421757*s[44])/528 + 
       (37525*s[45])/44 - (1802189*s[46])/264 + (340297*s[47])/1584 + 
       (273835*s[48])/1584 - (5456971*s[49])/1584 + (353807*s[50])/66 + 
       (450697*s[51])/528 + (1043291*s[52])/1584 - (2960447*s[53])/792 + 
       (2175*s[54])/22 - (37318727*s[55])/1584 - (9696661*s[56])/1584 + 
       (6181525*s[57])/1188 - (147218567*s[58])/14256 + 
       (151688993*s[59])/14256 + (534942997*s[60])/9504 - 
       (381587909*s[61])/128304 - 4*s[68] + 4*s[69] - 2*s[71] + 4*s[72] - 
       (13*s[74])/3 + (13*s[75])/3 + (4*s[76])/3 - (14*s[77])/3 - s[78] + 
       108*s[79] - 26*s[80] - 96*s[82] + 48*s[84] + 24*s[85]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 1}, 1 - v]*(-50*s[2] - (15*s[3])/4 + 
       (5635*s[4])/24 - (59561*s[5])/264 - (12857*s[6])/88 + 
       (751717*s[7])/1584 - (210811*s[8])/2376 - (34381*s[9])/108 - 
       (61153*s[10])/216 - (69046*s[11])/99 - (1544291*s[12])/1584 - 
       (127461*s[13])/176 + (1527869*s[14])/1584 - (117977*s[15])/144 - 
       (79921*s[16])/88 - (14981*s[17])/396 + (138901*s[18])/324 - 
       (256267*s[19])/324 - (2025269*s[20])/7128 + (7367033*s[21])/14256 + 
       (4544795*s[22])/14256 + (243739*s[23])/528 + (20600753*s[24])/14256 - 
       (92490833*s[25])/64152 + (10018649*s[26])/64152 + 3*s[27] + 24*s[29] - 
       6*s[30] - 22*s[31] + 4*s[32] - (79*s[33])/2 + 29*s[34] + 7*s[35] + 
       41*s[36] - (109*s[37])/12 - (14*s[38])/3 + (613*s[39])/4 - 
       (257*s[40])/4 - (203*s[41])/6 - (802*s[42])/3 + (7619*s[43])/132 - 
       (13493*s[44])/264 - (51809*s[45])/264 + (223441*s[46])/264 - 
       (285007*s[47])/792 + (480791*s[48])/792 - (243131*s[49])/792 - 
       (11637*s[50])/44 - (62839*s[51])/264 - (204689*s[52])/792 + 
       (137785*s[53])/264 - (59179*s[54])/66 + (242537*s[55])/88 + 
       (1148951*s[56])/792 - (1758505*s[57])/1188 + (6067307*s[58])/3564 - 
       (10521859*s[59])/7128 - (396850*s[60])/297 + (109261895*s[61])/
        128304 + (15*s[65])/2 + 12*s[66] - 14*s[67] - 12*s[68] - 32*s[69] + 
       17*s[70] - 6*s[71] - 8*s[72] + 2*s[73] + 12*s[74] - (27*s[75])/2 + 
       38*s[76] - 4*s[77] - 42*s[78] + 212*s[79] - (481*s[80])/6 + 
       270*s[82] - 27*s[83] + 66*s[84] + 24*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 1}, 1 - v]*(-7*s[2] + (135*s[3])/4 + 
       (2397*s[4])/8 - (30749*s[5])/264 + (41981*s[6])/264 + 
       (2970221*s[7])/1584 - (750149*s[8])/2376 - (37391*s[9])/27 - 
       (74831*s[10])/216 - (963857*s[11])/396 - (5179327*s[12])/1584 - 
       (375745*s[13])/176 + (1156549*s[14])/1584 - (211949*s[15])/144 - 
       (747641*s[16])/264 - (293437*s[17])/396 - (75889*s[18])/324 - 
       (62263*s[19])/162 - (20740309*s[20])/7128 - (7853783*s[21])/14256 + 
       (14442151*s[22])/14256 + (1971331*s[23])/528 + 
       (29436949*s[24])/14256 - (28783229*s[25])/8019 + 
       (43983317*s[26])/32076 - s[30] - 6*s[31] + 2*s[32] - (17*s[33])/2 + 
       16*s[34] - s[36]/3 + (221*s[37])/12 + (269*s[38])/2 - 
       (5437*s[39])/12 + (6725*s[40])/12 - (5197*s[41])/12 + (2373*s[42])/4 + 
       (63715*s[43])/132 - (151099*s[44])/264 + (50635*s[45])/264 - 
       (674359*s[46])/264 + (27517*s[47])/792 + (351907*s[48])/792 - 
       (1777981*s[49])/792 + (62773*s[50])/33 + (268963*s[51])/792 + 
       (240425*s[52])/792 - (235435*s[53])/264 - (60287*s[54])/132 - 
       (4551517*s[55])/792 - (1229435*s[56])/792 + (6847861*s[57])/1188 - 
       (4315793*s[58])/891 + (31440901*s[59])/7128 + (54580379*s[60])/2376 - 
       (94300997*s[61])/128304 - 2*s[67] - 2*s[69] + 6*s[70] + (3*s[71])/2 + 
       2*s[72] - 8*s[73] + (9*s[74])/2 - 6*s[75] + 6*s[76] + 2*s[77] - 
       16*s[78] + 100*s[79] - (111*s[80])/2 + 270*s[82] - 27*s[83] + 
       66*s[84] + 24*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*((281*s[2])/12 + 
       (385*s[3])/8 + (45085*s[4])/48 + (93035*s[5])/132 + 
       (235423*s[6])/132 + (149069369*s[7])/9504 - (8566301*s[8])/7128 - 
       (17164559*s[9])/1296 - (2723615*s[10])/648 - (20542661*s[11])/1188 - 
       (178950191*s[12])/9504 - (108099833*s[13])/9504 - 
       (19751035*s[14])/9504 - (18015307*s[15])/864 - 
       (126348253*s[16])/4752 - (10877935*s[17])/528 - 
       (11133085*s[18])/3888 - (4653643*s[19])/1944 - 
       (1335296003*s[20])/42768 - (976823149*s[21])/85536 + 
       (706050767*s[22])/85536 + (169581583*s[23])/9504 + 
       (1468288607*s[24])/85536 - (16883147305*s[25])/769824 + 
       (9325488349*s[26])/769824 - s[30]/6 + (38*s[31])/3 - (7*s[32])/3 + 
       (89*s[33])/12 - (137*s[34])/6 - (65*s[35])/6 - (355*s[36])/6 + 
       (1475*s[37])/36 + 551*s[38] - (26747*s[39])/12 + (29497*s[40])/12 - 
       (5801*s[41])/3 + (77221*s[42])/24 + (84569*s[43])/44 - 
       (182557*s[44])/88 + (1558057*s[45])/792 - (13011637*s[46])/792 + 
       (24566*s[47])/33 + (7945*s[48])/33 - (1177069*s[49])/132 + 
       (831647*s[50])/66 + (94803*s[51])/44 + (459121*s[52])/264 - 
       (20483129*s[53])/2376 + (17359*s[54])/396 - (14298901*s[55])/264 - 
       (4214465*s[56])/297 + (30178981*s[57])/1782 - (556473617*s[58])/
        21384 + (282420337*s[59])/10692 + (637260011*s[60])/4752 - 
       (1322243399*s[61])/192456 + (2*s[63])/3 - (5*s[65])/3 - (20*s[66])/3 + 
       (35*s[67])/3 + 7*s[68] + (56*s[69])/3 + (4*s[70])/3 - s[71]/3 + 
       (41*s[72])/3 - (55*s[73])/3 - (57*s[74])/4 + (57*s[75])/4 - 11*s[76] - 
       (31*s[77])/6 + (89*s[78])/3 + (520*s[79])/3 - (517*s[80])/18 + 
       (225*s[82])/2 + 5*s[83] + 80*s[84] + 24*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((64*s[2])/3 + (415*s[3])/12 + (19829*s[4])/24 + (23126*s[5])/33 + 
       (797321*s[6])/528 + (8292149*s[7])/594 - (15999253*s[8])/14256 - 
       (15354143*s[9])/1296 - (2318729*s[10])/648 - (145665841*s[11])/9504 - 
       (159117545*s[12])/9504 - (47292889*s[13])/4752 - 
       (8354771*s[14])/4752 - (2008919*s[15])/108 - (55847999*s[16])/2376 - 
       (57371635*s[17])/3168 - (10798891*s[18])/3888 - (7093337*s[19])/3888 - 
       (596144557*s[20])/21384 - (442780937*s[21])/42768 + 
       (19653802*s[22])/2673 + (164598127*s[23])/9504 + 
       (1262955143*s[24])/85536 - (14913529393*s[25])/769824 + 
       (8339769121*s[26])/769824 + s[30] + (38*s[31])/3 - (13*s[32])/3 + 
       (107*s[33])/12 - (77*s[34])/3 - (25*s[35])/3 - (103*s[36])/2 + 
       (179*s[37])/4 + (1031*s[38])/2 - (4219*s[39])/2 + 2304*s[40] - 
       (5389*s[41])/3 + (24615*s[42])/8 + (110999*s[43])/66 - 
       (82393*s[44])/44 + (58406*s[45])/33 - (490295*s[46])/33 + 
       (334253*s[47])/396 - (51917*s[48])/792 - (6228979*s[49])/792 + 
       (373921*s[50])/33 + (1670153*s[51])/792 + (673249*s[52])/396 - 
       (1031003*s[53])/132 + (12647*s[54])/44 - (12864583*s[55])/264 - 
       (10288937*s[56])/792 + (41690867*s[57])/2376 - 
       (172896001*s[58])/7128 + (87216857*s[59])/3564 + 
       (141500875*s[60])/1188 - (405686971*s[61])/64152 + s[62]/2 - 
       (5*s[65])/3 - (20*s[66])/3 + (34*s[67])/3 + 10*s[68] + (44*s[69])/3 - 
       (2*s[70])/3 + (5*s[71])/6 + (32*s[72])/3 - (40*s[73])/3 - 
       (91*s[74])/6 + (91*s[75])/6 - (10*s[76])/3 + s[77]/3 + (65*s[78])/3 + 
       (400*s[79])/3 - (181*s[80])/6 + (255*s[82])/2 + 5*s[83] + 80*s[84] + 
       24*s[85]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((455*s[2])/24 - (6025*s[3])/144 + (13571*s[4])/96 + 
       (481727*s[5])/1584 + (1530629*s[6])/3168 + (11418437*s[7])/2376 - 
       (862160*s[8])/2673 - (32637761*s[9])/7776 - (11367271*s[10])/7776 - 
       (36465923*s[11])/7128 - (150853321*s[12])/28512 - 
       (87867371*s[13])/28512 - (32531207*s[14])/28512 - 
       (8886089*s[15])/1296 - (118815991*s[16])/14256 - 
       (50508851*s[17])/7128 - (20473273*s[18])/23328 - 
       (16772879*s[19])/23328 - (1300199737*s[20])/128304 - 
       (499420945*s[21])/128304 + (661046557*s[22])/256608 + 
       (60643901*s[23])/14256 + (682340297*s[24])/128304 - 
       (7167749695*s[25])/1154736 + (8532438845*s[26])/2309472 - 
       (41*s[30])/36 + (205*s[31])/18 - (73*s[32])/12 + (1445*s[33])/144 - 
       (115*s[34])/6 + (377*s[35])/36 - (2731*s[36])/108 + (389*s[37])/48 + 
       (9007*s[38])/72 - (20401*s[39])/36 + (33911*s[40])/54 - 
       (22787*s[41])/48 + (361781*s[42])/432 + (301093*s[43])/594 - 
       (10862285*s[44])/19008 + (690889*s[45])/1056 - (47076619*s[46])/9504 + 
       (9280567*s[47])/57024 + (5205199*s[48])/57024 - 
       (143538997*s[49])/57024 + (9464749*s[50])/2376 + 
       (30826847*s[51])/57024 + (20751317*s[52])/57024 - 
       (81792749*s[53])/28512 - (118795*s[54])/594 - (38274677*s[55])/2112 - 
       (247699159*s[56])/57024 + (202511819*s[57])/85536 - 
       (3647959061*s[58])/513216 + (3906521141*s[59])/513216 + 
       (14237139493*s[60])/342144 - (5012834173*s[61])/2309472 + s[62]/4 - 
       (25*s[65])/18 - (50*s[66])/9 + (68*s[67])/9 - (13*s[68])/9 + 
       (149*s[69])/9 - (59*s[70])/18 + (91*s[71])/72 + (97*s[72])/18 - 
       (143*s[73])/18 - (43*s[74])/8 + (43*s[75])/8 - (13*s[76])/18 - 
       (265*s[77])/36 + (289*s[78])/18 + (265*s[79])/6 - (869*s[80])/72 + 
       227*s[82] + (25*s[83])/6 + (20*s[84])/3 + (80*s[85])/3) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((151*s[2])/8 - (8341*s[3])/144 + (12313*s[4])/96 + (286261*s[5])/792 + 
       (1939733*s[6])/3168 + (27649675*s[7])/4752 - (3552119*s[8])/10692 - 
       (39649397*s[9])/7776 - (14338561*s[10])/7776 - 
       (177908297*s[11])/28512 - (185034235*s[12])/28512 - 
       (27244721*s[13])/7128 - (23274613*s[14])/14256 - 
       (10410173*s[15])/1296 - (285558689*s[16])/28512 - 
       (239145749*s[17])/28512 - (27278185*s[18])/23328 - 
       (18392435*s[19])/23328 - (1601188153*s[20])/128304 - 
       (1239382691*s[21])/256608 + (200187301*s[22])/64152 + 
       (131251255*s[23])/28512 + (1666525495*s[24])/256608 - 
       (17175791117*s[25])/2309472 + (5209770547*s[26])/1154736 - 
       (11*s[30])/9 + (83*s[31])/9 - (19*s[32])/3 + (223*s[33])/72 - 
       (173*s[34])/12 + (191*s[35])/36 - (2305*s[36])/108 + 
       (1901*s[37])/144 + (13165*s[38])/72 - (49931*s[39])/72 + 
       (169343*s[40])/216 - (28583*s[41])/48 + (425567*s[42])/432 + 
       (1675393*s[43])/2376 - (13986773*s[44])/19008 + (2714185*s[45])/3168 - 
       (60556909*s[46])/9504 + (6846451*s[47])/57024 + 
       (18532675*s[48])/57024 - (185643721*s[49])/57024 + 
       (1503077*s[50])/297 + (37376411*s[51])/57024 + 
       (27514613*s[52])/57024 - (99815681*s[53])/28512 - 
       (353581*s[54])/2376 - (15904839*s[55])/704 - (322629499*s[56])/57024 + 
       (237140909*s[57])/85536 - (4672462637*s[58])/513216 + 
       (4859201261*s[59])/513216 + (18542687821*s[60])/342144 - 
       (6497533495*s[61])/2309472 - (35*s[65])/36 - (35*s[66])/9 + 
       (38*s[67])/9 - (37*s[68])/9 + (113*s[69])/9 - (31*s[70])/9 + 
       (13*s[71])/72 + (61*s[72])/18 - (89*s[73])/18 - (103*s[74])/24 + 
       (103*s[75])/24 - (37*s[76])/18 - (85*s[77])/36 + (101*s[78])/9 + 
       (427*s[79])/6 - (457*s[80])/24 + 152*s[82] + (35*s[83])/12 + 
       (145*s[84])/6 + (80*s[85])/3) + HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]^2*
      ((55*s[2])/4 + (5*s[3])/24 + (3421*s[4])/8 + (211081*s[5])/528 + 
       (471331*s[6])/528 + (3145045*s[7])/396 - (4315187*s[8])/7128 - 
       (8769629*s[9])/1296 - (345323*s[10])/162 - (82578901*s[11])/9504 - 
       (44715823*s[12])/4752 - (53453113*s[13])/9504 - 
       (11774023*s[14])/9504 - (4591651*s[15])/432 - (127695235*s[16])/9504 - 
       (100031233*s[17])/9504 - (5978653*s[18])/3888 - (4191539*s[19])/3888 - 
       (171429881*s[20])/10692 - (511469839*s[21])/85536 + 
       (358589531*s[22])/85536 + (85360307*s[23])/9504 + 
       (733412615*s[24])/85536 - (8389027555*s[25])/769824 + 
       (4742038123*s[26])/769824 + (11*s[30])/12 + (35*s[31])/6 - 2*s[32] + 
       (139*s[33])/48 - (37*s[34])/4 - (17*s[35])/3 - (221*s[36])/9 + 
       (647*s[37])/24 + (3221*s[38])/12 - (4461*s[39])/4 + (44561*s[40])/36 - 
       (23219*s[41])/24 + (58375*s[42])/36 + (371797*s[43])/396 - 
       (3242051*s[44])/3168 + (553955*s[45])/528 - (13421191*s[46])/1584 + 
       (3795031*s[47])/9504 + (587695*s[48])/9504 - (41207809*s[49])/9504 + 
       (5147801*s[50])/792 + (10522427*s[51])/9504 + (8448371*s[52])/9504 - 
       (1337030*s[53])/297 + (30457*s[54])/198 - (89832167*s[55])/3168 - 
       (71640907*s[56])/9504 + (60661099*s[57])/7128 - 
       (1149457901*s[58])/85536 + (1162436243*s[59])/85536 + 
       (3918932137*s[60])/57024 - (2826210983*s[61])/769824 - (7*s[65])/12 - 
       (7*s[66])/3 + (10*s[67])/3 + (7*s[68])/3 + (13*s[69])/3 + s[70]/3 + 
       s[71]/12 + (19*s[72])/3 - (14*s[73])/3 - (13*s[74])/2 + (13*s[75])/2 - 
       (19*s[76])/3 - (8*s[77])/3 + (65*s[78])/6 + 94*s[79] - 
       (247*s[80])/12 + 94*s[82] + (7*s[83])/4 + (83*s[84])/2 + 28*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*
      ((343*s[2])/24 + (253*s[3])/48 + (12755*s[4])/32 + (24043*s[5])/66 + 
       (813323*s[6])/1056 + (140431591*s[7])/19008 - (17356241*s[8])/28512 - 
       (510167*s[9])/81 - (2542333*s[10])/1296 - (152877245*s[11])/19008 - 
       (20726399*s[12])/2376 - (98031859*s[13])/19008 - 
       (20687717*s[14])/19008 - (17253113*s[15])/1728 - (7413719*s[16])/594 - 
       (20577155*s[17])/2112 - (5599369*s[18])/3888 - (7579975*s[19])/7776 - 
       (1277312299*s[20])/85536 - (938198171*s[21])/171072 + 
       (667753399*s[22])/171072 + (5135887*s[23])/594 + 
       (84345661*s[24])/10692 - (7800680023*s[25])/769824 + 
       (4369696531*s[26])/769824 + (13*s[30])/6 + (47*s[31])/6 - 
       (25*s[32])/6 + (323*s[33])/48 - 14*s[34] - s[35] - (1057*s[36])/72 + 
       (254*s[37])/9 + (2083*s[38])/8 - (102581*s[39])/96 + 
       (342067*s[40])/288 - (29241*s[41])/32 + (447341*s[42])/288 + 
       (2974721*s[43])/3168 - (6283411*s[44])/6336 + (1786283*s[45])/1584 - 
       (9134387*s[46])/1056 + (6871913*s[47])/19008 + (1770179*s[48])/19008 - 
       (81358223*s[49])/19008 + (2653723*s[50])/396 + 
       (19916539*s[51])/19008 + (15267313*s[52])/19008 - (831873*s[53])/176 + 
       (4019*s[54])/33 - (190069393*s[55])/6336 - (148340605*s[56])/19008 + 
       (101262835*s[57])/14256 - (2275559147*s[58])/171072 + 
       (2337337649*s[59])/171072 + (8080958657*s[60])/114048 - 
       (5854025195*s[61])/1539648 + s[64]/6 - (2*s[66])/3 - (4*s[67])/3 - 
       (7*s[68])/3 - (2*s[69])/3 - s[70] - (11*s[71])/12 + 4*s[72] - 
       (7*s[73])/4 - (25*s[74])/6 + (13*s[75])/3 - (34*s[76])/3 + 
       (4*s[77])/3 + (91*s[78])/12 + (296*s[79])/3 - (527*s[80])/36 + 
       141*s[82] + s[83] + 45*s[84] + 28*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((235*s[2])/4 - (985*s[3])/8 + (18879*s[4])/16 + (53355*s[5])/44 + 
       (426049*s[6])/176 + (8322481*s[7])/352 - (8501059*s[8])/4752 - 
       (2197691*s[9])/108 - (1387667*s[10])/216 - (81813547*s[11])/3168 - 
       (11075851*s[12])/396 - (52496137*s[13])/3168 - (11836003*s[14])/3168 - 
       (9107831*s[15])/288 - (15805811*s[16])/396 - (98839021*s[17])/3168 - 
       (366721*s[18])/81 - (4133627*s[19])/1296 - (684753503*s[20])/14256 - 
       (509957557*s[21])/28512 + (359536361*s[22])/28512 + 
       (20872481*s[23])/792 + (45299597*s[24])/1782 - 
       (4132976861*s[25])/128304 + (2334326897*s[26])/128304 - 7*s[30] + 
       27*s[31] - (19*s[32])/2 + (103*s[33])/8 - 46*s[34] - (17*s[35])/2 - 
       (89*s[36])/2 + (865*s[37])/12 + (953*s[38])/2 - 2070*s[39] + 
       (4607*s[40])/2 - (7165*s[41])/4 + (6109*s[42])/2 + (17240*s[43])/11 - 
       (328891*s[44])/176 + (422369*s[45])/264 - (3730907*s[46])/264 + 
       (448397*s[47])/528 - (110755*s[48])/528 - (4034735*s[49])/528 + 
       (122139*s[50])/11 + (1092173*s[51])/528 + (848755*s[52])/528 - 
       (750869*s[53])/99 - (11207*s[54])/66 - (8279455*s[55])/176 - 
       (19091299*s[56])/1584 + (40914287*s[57])/2376 - 
       (328858619*s[58])/14256 + (335056793*s[59])/14256 + 
       (362272891*s[60])/3168 - (736858385*s[61])/128304 - 2*s[65] - 
       6*s[66] + 15*s[67] - 4*s[68] + 25*s[69] - 10*s[70] + 3*s[71] + 
       13*s[72] - 29*s[73] - (75*s[74])/4 + (71*s[75])/4 - 22*s[76] - 
       (17*s[77])/2 + 29*s[78] + 262*s[79] - (407*s[80])/6 + 146*s[82] + 
       (9*s[83])/2 + 87*s[84] + 28*s[85]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*((109*s[2])/4 - 
       (1407*s[3])/8 + (2085*s[4])/16 + (7729*s[5])/22 + (81231*s[6])/176 + 
       (17552999*s[7])/3168 - (1510517*s[8])/4752 - (540691*s[9])/108 - 
       (359671*s[10])/216 - (18954341*s[11])/3168 - (2478539*s[12])/396 - 
       (3882349*s[13])/1056 - (3939269*s[14])/3168 - (243441*s[15])/32 - 
       (103842*s[16])/11 - (24582115*s[17])/3168 - (76772*s[18])/81 - 
       (1014805*s[19])/1296 - (165793081*s[20])/14256 - 
       (126786347*s[21])/28512 + (87826735*s[22])/28512 + 
       (1189853*s[23])/264 + (10868131*s[24])/1782 - (925747327*s[25])/
        128304 + (541268227*s[26])/128304 - 6*s[30] + 15*s[31] - 
       (57*s[32])/2 + (79*s[33])/8 - 35*s[34] - (23*s[35])/2 - 
       (287*s[36])/6 + (241*s[37])/12 + (335*s[38])/2 - (1739*s[39])/2 + 
       (2839*s[40])/3 - (2975*s[41])/4 + (3950*s[42])/3 + (37855*s[43])/66 - 
       (409799*s[44])/528 + (61895*s[45])/264 - (359299*s[46])/88 + 
       (620377*s[47])/1584 - (397871*s[48])/1584 - (4815379*s[49])/1584 + 
       (222637*s[50])/66 + (1370585*s[51])/1584 + (960095*s[52])/1584 - 
       (47881*s[53])/22 - (3997*s[54])/11 - (2152945*s[55])/176 - 
       (3945869*s[56])/1584 + (18221053*s[57])/2376 - 
       (99384493*s[58])/14256 + (104556271*s[59])/14256 + 
       (310385839*s[60])/9504 - (140702299*s[61])/128304 - 2*s[65] - 
       6*s[66] + 15*s[67] - 6*s[68] + 29*s[69] - 12*s[70] + 3*s[71] + 
       11*s[72] - 19*s[73] - (57*s[74])/4 + (53*s[75])/4 - 7*s[76] - 
       (19*s[77])/2 + 31*s[78] + 116*s[79] - (203*s[80])/6 + 146*s[82] + 
       (9*s[83])/2 + 87*s[84] + 28*s[85]) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*(s[2]/4 + (325*s[3])/12 + 
       (5557*s[4])/72 + (910*s[5])/9 + (19877*s[6])/96 + (178835*s[7])/96 - 
       (337595*s[8])/2592 - (4057097*s[9])/2592 - (820847*s[10])/1296 - 
       (3415625*s[11])/1728 - (3498103*s[12])/1728 - (250285*s[13])/216 - 
       (206153*s[14])/432 - (2365241*s[15])/864 - (715903*s[16])/216 - 
       (5004125*s[17])/1728 - (2562691*s[18])/7776 - (2958551*s[19])/7776 - 
       (15520985*s[20])/3888 - (5703563*s[21])/3888 + (7429589*s[22])/7776 + 
       (2326309*s[23])/1728 + (34892941*s[24])/15552 - 
       (338217023*s[25])/139968 + (197289083*s[26])/139968 - 2*s[31] + 
       (25*s[32])/12 - 3*s[33] + 4*s[34] - s[35] + (4*s[36])/3 - 
       (19*s[37])/2 + (2765*s[38])/72 - (275*s[39])/2 + (955*s[40])/6 - 
       (18895*s[41])/144 + (25829*s[42])/144 + (79883*s[43])/396 - 
       (145883*s[44])/792 + (10597*s[45])/33 - (803855*s[46])/396 - 
       (139421*s[47])/4752 + (903313*s[48])/4752 - (4431769*s[49])/4752 + 
       (109663*s[50])/66 + (208855*s[51])/1584 + (154399*s[52])/2376 - 
       (1419551*s[53])/1188 - (1531*s[54])/11 - (12376339*s[55])/1584 - 
       (235765*s[56])/132 - (110501*s[57])/132 - (34717457*s[58])/14256 + 
       (9333377*s[59])/3564 + (63962891*s[60])/3564 - 
       (251786855*s[61])/256608 - s[68]/3 + s[69]/3 + 2*s[70] + 4*s[73] + 
       s[74]/2 - s[75]/2 + 2*s[76] - (4*s[77])/3 - 2*s[78] - 4*s[79] - 
       s[80] + 142*s[82] + 30*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - u]*((-29*s[2])/12 + (581*s[3])/24 + (763*s[4])/16 + 
       (166841*s[5])/1584 + (133235*s[6])/792 + (14423617*s[7])/9504 - 
       (53117*s[8])/594 - (553739*s[9])/432 - (232651*s[10])/432 - 
       (4989547*s[11])/3168 - (817253*s[12])/528 - (8366405*s[13])/9504 - 
       (1454269*s[14])/3168 - (2027261*s[15])/864 - (1636661*s[16])/594 - 
       (24209929*s[17])/9504 - (352097*s[18])/1296 - (411709*s[19])/1296 - 
       (47222587*s[20])/14256 - (12334967*s[21])/9504 + 
       (22021139*s[22])/28512 + (1253999*s[23])/1188 + 
       (13143941*s[24])/7128 - (160606583*s[25])/85536 + 
       (100613411*s[26])/85536 + (7*s[30])/6 - 2*s[31] + s[32] - 
       (9*s[33])/4 + (29*s[34])/6 + (7*s[35])/12 - (41*s[36])/9 - 
       (157*s[37])/18 + (76*s[38])/3 - (15145*s[39])/144 + (5915*s[40])/48 - 
       (14161*s[41])/144 + (20963*s[42])/144 + (8567*s[43])/48 - 
       (41887*s[44])/288 + (40163*s[45])/144 - (3461*s[46])/2 - 
       (11777*s[47])/288 + (47437*s[48])/288 - (234185*s[49])/288 + 
       (4261*s[50])/3 + (59011*s[51])/864 + (9103*s[52])/288 - 
       (234419*s[53])/216 - (448*s[54])/3 - (6094535*s[55])/864 - 
       (1366009*s[56])/864 - (681689*s[57])/648 - (15404825*s[58])/7776 + 
       (17873381*s[59])/7776 + (2972209*s[60])/192 - (29784697*s[61])/34992 + 
       s[68]/6 - s[69]/6 + (3*s[70])/2 + (11*s[74])/12 - (11*s[75])/12 + 
       (5*s[76])/3 - (5*s[77])/6 - (2*s[78])/3 - (14*s[79])/3 + 
       (11*s[80])/18 + 155*s[82] + 30*s[85]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1, 0, 1}, 1 - w]*((3*s[2])/2 - (113*s[3])/8 - 
       (4525*s[4])/16 - (6767*s[5])/44 - (60237*s[6])/176 - 
       (11035733*s[7])/3168 + (551873*s[8])/1584 + (26074*s[9])/9 + 
       (7115*s[10])/9 + (4065073*s[11])/1056 + (2261183*s[12])/528 + 
       (8118139*s[13])/3168 + (50035*s[14])/1056 + (1368467*s[15])/288 + 
       (9304091*s[16])/1584 + (13845665*s[17])/3168 + (65017*s[18])/108 + 
       (238997*s[19])/432 + (31590149*s[20])/4752 + (2473837*s[21])/1056 - 
       (17258905*s[22])/9504 - (3986993*s[23])/792 - (17728895*s[24])/4752 + 
       (9066349*s[25])/1782 - (9546455*s[26])/3564 - s[30] - s[31] + 
       s[32]/2 - s[33]/8 + 5*s[34] + (47*s[35])/4 + (217*s[36])/12 - 
       (1921*s[37])/48 - (1437*s[38])/8 + (10137*s[39])/16 - 
       (32179*s[40])/48 + (1959*s[41])/4 - (22039*s[42])/24 - 
       (271121*s[43])/528 + (543877*s[44])/1056 - (500345*s[45])/1056 + 
       (1426703*s[46])/352 - (882197*s[47])/3168 + (328045*s[48])/3168 + 
       (7389923*s[49])/3168 - (204271*s[50])/66 - (1951729*s[51])/3168 - 
       (1618255*s[52])/3168 + (780171*s[53])/352 - (5591*s[54])/176 + 
       (14536373*s[55])/1056 + (10387543*s[56])/3168 - 
       (20584631*s[57])/4752 + (91410895*s[58])/14256 - 
       (194142395*s[59])/28512 - (19677973*s[60])/594 + 
       (781291033*s[61])/513216 - (3*s[62])/8 - 2*s[63] - s[67] - 
       (7*s[68])/2 + (7*s[69])/2 + s[70] + (5*s[71])/8 - 2*s[72] + 2*s[73] + 
       (15*s[74])/4 - (15*s[75])/4 + 6*s[76] - (9*s[77])/2 - 11*s[78] - 
       40*s[79] - (145*s[80])/24 + (309*s[82])/2 - 12*s[84] + 30*s[85]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      ((-19*s[2])/2 + (17*s[3])/8 - (91*s[4])/16 - (4797*s[5])/44 - 
       (18431*s[6])/176 - (2866421*s[7])/3168 + (110857*s[8])/4752 + 
       (90635*s[9])/108 + (27427*s[10])/108 + (3030265*s[11])/3168 + 
       (1500253*s[12])/1584 + (1695857*s[13])/3168 + (1291999*s[14])/3168 + 
       (387859*s[15])/288 + (621535*s[16])/396 + (497767*s[17])/352 + 
       (170255*s[18])/648 + (33893*s[19])/1296 + (15337735*s[20])/7128 + 
       (27407569*s[21])/28512 - (13738313*s[22])/28512 - 
       (1634819*s[23])/1584 - (12948937*s[24])/14256 + 
       (16474639*s[25])/16038 - (24830855*s[26])/32076 - s[31] + s[32]/4 - 
       (5*s[33])/8 + 2*s[34] + s[35]/2 + (29*s[36])/6 - (161*s[37])/12 - 
       (297*s[38])/4 + (383*s[39])/2 - (610*s[40])/3 + (443*s[41])/4 - 
       (806*s[42])/3 - (23261*s[43])/132 + (82415*s[44])/528 - 
       (20395*s[45])/264 + (235985*s[46])/264 - (132787*s[47])/1584 + 
       (22577*s[48])/1584 + (1071913*s[49])/1584 - (82811*s[50])/132 - 
       (319079*s[51])/1584 - (260819*s[52])/1584 + (42272*s[53])/99 - 
       (6007*s[54])/66 + (1429561*s[55])/528 + (348989*s[56])/528 - 
       (79643*s[57])/66 + (7025669*s[58])/4752 - (7517135*s[59])/4752 - 
       (70982365*s[60])/9504 + (10151821*s[61])/42768 - (7*s[68])/2 + 
       (7*s[69])/2 + s[70] - s[72] + s[73] + (3*s[74])/4 - (3*s[75])/4 + 
       s[76] - 5*s[77] - s[78] - 24*s[79] + (37*s[80])/6 + (309*s[82])/2 - 
       12*s[84] + 30*s[85]) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      ((13*s[2])/4 - (799*s[3])/16 - (8679*s[4])/32 - (5039*s[5])/176 - 
       (89103*s[6])/352 - (16673617*s[7])/6336 + (2895469*s[8])/9504 + 
       (114485*s[9])/54 + (54683*s[10])/108 + (19146961*s[11])/6336 + 
       (5652437*s[12])/1584 + (4639213*s[13])/2112 - (1583519*s[14])/6336 + 
       (203855*s[15])/64 + (4442377*s[16])/1056 + (16938047*s[17])/6336 + 
       (144509*s[18])/324 + (1129049*s[19])/2592 + (133385819*s[20])/28512 + 
       (85591639*s[21])/57024 - (77086331*s[22])/57024 - 
       (4316101*s[23])/1056 - (77748193*s[24])/28512 + 
       (1064153231*s[25])/256608 - (523140749*s[26])/256608 - (33*s[30])/4 + 
       s[33]/2 + 3*s[34] + 9*s[35] + (415*s[36])/24 - (321*s[37])/8 - 
       (1345*s[38])/8 + (16709*s[39])/32 - (53035*s[40])/96 + 
       (13151*s[41])/32 - (69953*s[42])/96 - (451361*s[43])/1056 + 
       (908059*s[44])/2112 - (32915*s[45])/88 + (3352619*s[46])/1056 - 
       (1605545*s[47])/6336 + (386797*s[48])/6336 + (11724899*s[49])/6336 - 
       (308797*s[50])/132 - (3484927*s[51])/6336 - (2849401*s[52])/6336 + 
       (4954585*s[53])/3168 - (105551*s[54])/528 + (6989907*s[55])/704 + 
       (16418033*s[56])/6336 - (19726385*s[57])/4752 + 
       (303455995*s[58])/57024 - (303865333*s[59])/57024 - 
       (976178069*s[60])/38016 + (610541485*s[61])/513216 - 2*s[63] - s[67] - 
       (9*s[68])/2 + (9*s[69])/2 - s[70] + (5*s[71])/8 - s[72] + s[73] + 
       3*s[74] - 3*s[75] + (31*s[76])/2 - 3*s[77] - 6*s[78] - 22*s[79] - 
       (55*s[80])/4 + (321*s[82])/2 - 12*s[84] + 30*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 0, 1}, 1 - u]*(s[2]/4 - (281*s[3])/8 - 
       (2735*s[4])/16 + (2485*s[5])/176 - (2997*s[6])/22 - 
       (247813*s[7])/176 + (900479*s[8])/4752 + (477757*s[9])/432 + 
       (93293*s[10])/432 + (1301297*s[11])/792 + (3155723*s[12])/1584 + 
       (1980613*s[13])/1584 - (404303*s[14])/1584 + (59477*s[15])/36 + 
       (3495571*s[16])/1584 + (2070589*s[17])/1584 + (133141*s[18])/648 + 
       (326095*s[19])/1296 + (33532777*s[20])/14256 + (9831319*s[21])/14256 - 
       (630623*s[22])/891 - (3846125*s[23])/1584 - (5262959*s[24])/3564 + 
       (595855907*s[25])/256608 - (277851815*s[26])/256608 - s[30]/2 - 
       (39*s[32])/8 - s[33] + (3*s[34])/2 + s[35]/2 + (29*s[36])/6 - 
       (62*s[37])/3 - (429*s[38])/4 + (2479*s[39])/8 - (7877*s[40])/24 + 
       (955*s[41])/4 - (2623*s[42])/6 - (69727*s[43])/264 + 
       (32081*s[44])/132 - (22733*s[45])/132 + (434957*s[46])/264 - 
       (69607*s[47])/396 + (53209*s[48])/792 + (407965*s[49])/396 - 
       (311659*s[50])/264 - (67945*s[51])/198 - (219337*s[52])/792 + 
       (313631*s[53])/396 - (58939*s[54])/264 + (1312417*s[55])/264 + 
       (58969*s[56])/44 - (4044685*s[57])/1584 + (6850781*s[58])/2376 - 
       (6862739*s[59])/2376 - (15730283*s[60])/1188 + (667907*s[61])/1188 - 
       (9*s[68])/2 + (9*s[69])/2 - s[70] - s[72] + s[73] + (3*s[74])/4 - 
       (3*s[75])/4 + s[76] - 3*s[77] - s[78] - 24*s[79] + (37*s[80])/6 + 
       (321*s[82])/2 - 12*s[84] + 30*s[85]) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((4*s[2])/3 + (1333*s[3])/72 + (8471*s[4])/72 + (248345*s[5])/1584 + 
       (204599*s[6])/528 + (2452973*s[7])/792 - (766541*s[8])/3564 - 
       (212650*s[9])/81 - (311777*s[10])/324 - (31542827*s[11])/9504 - 
       (33030079*s[12])/9504 - (19519427*s[13])/9504 - (3640489*s[14])/4752 - 
       (927877*s[15])/216 - (50590673*s[16])/9504 - (21092083*s[17])/4752 - 
       (2364053*s[18])/3888 - (1811431*s[19])/3888 - (557849321*s[20])/
        85536 - (212409677*s[21])/85536 + (68814839*s[22])/42768 + 
       (24825673*s[23])/9504 + (297667927*s[24])/85536 - 
       (1566296179*s[25])/384912 + (1877563553*s[26])/769824 - 
       (11*s[32])/18 - (2*s[34])/3 - (8*s[35])/3 - (4*s[36])/3 - 
       (35*s[37])/18 + (4153*s[38])/72 - (18383*s[39])/72 + 
       (21071*s[40])/72 - (1925*s[41])/8 + (25453*s[42])/72 + 
       (250595*s[43])/792 - (983573*s[44])/3168 + (42067*s[45])/88 - 
       (2482171*s[46])/792 + (64421*s[47])/9504 + (2239319*s[48])/9504 - 
       (13256423*s[49])/9504 + (646249*s[50])/264 + (2402629*s[51])/9504 + 
       (1530421*s[52])/9504 - (115681*s[53])/66 - (23333*s[54])/792 - 
       (109499453*s[55])/9504 - (27851815*s[56])/9504 + (260960*s[57])/891 - 
       (365756363*s[58])/85536 + (378732797*s[59])/85536 + 
       (1526728079*s[60])/57024 - (1164726041*s[61])/769824 - (5*s[68])/9 + 
       (5*s[69])/9 - s[71]/3 + 4*s[73] - s[74]/3 + s[75]/3 + (8*s[76])/3 - 
       (5*s[77])/9 - (2*s[78])/3 + (40*s[79])/3 + (4*s[80])/9 + 
       (1003*s[82])/6 + (92*s[85])/3) + HPL[{0, 1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - w]*(20*s[2] + (811*s[3])/72 + (32383*s[4])/48 + 
       (127609*s[5])/198 + (2275447*s[6])/1584 + (60678169*s[7])/4752 - 
       (41579069*s[8])/42768 - (10603885*s[9])/972 - (13307357*s[10])/3888 - 
       (397922783*s[11])/28512 - (107473825*s[12])/7128 - 
       (256402781*s[13])/28512 - (58408913*s[14])/28512 - 
       (22268033*s[15])/1296 - (617633777*s[16])/28512 - 
       (487180709*s[17])/28512 - (28166771*s[18])/11664 - 
       (20769709*s[19])/11664 - (207300376*s[20])/8019 - 
       (2464487567*s[21])/256608 + (1733083405*s[22])/256608 + 
       (406100527*s[23])/28512 + (3541086013*s[24])/256608 - 
       (20196619129*s[25])/1154736 + (11409498757*s[26])/1154736 + 
       (361*s[30])/36 + (193*s[31])/18 - s[32]/12 + (1103*s[33])/144 - 
       (65*s[34])/3 + (11*s[35])/36 - (8795*s[36])/216 + (6989*s[37])/144 + 
       (26419*s[38])/72 - (453839*s[39])/288 + (1512185*s[40])/864 - 
       (43517*s[41])/32 + (2021539*s[42])/864 + (11529667*s[43])/9504 - 
       (26636957*s[44])/19008 + (4082317*s[45])/3168 - 
       (52099841*s[46])/4752 + (40470343*s[47])/57024 - 
       (9995435*s[48])/57024 - (324334981*s[49])/57024 + 
       (39924935*s[50])/4752 + (93521993*s[51])/57024 + 
       (72707015*s[52])/57024 - (82286317*s[53])/14256 + 
       (962779*s[54])/4752 - (25331577*s[55])/704 - (549855379*s[56])/57024 + 
       (147457909*s[57])/10692 - (9306121331*s[58])/513216 + 
       (9371293211*s[59])/513216 + (30001570693*s[60])/342144 - 
       (10788755257*s[61])/2309472 + s[62] + s[64]/8 - (133*s[65])/72 - 
       (133*s[66])/18 + (110*s[67])/9 + (71*s[68])/9 + (122*s[69])/9 + 
       (199*s[70])/18 + (67*s[71])/72 + (116*s[72])/9 - (130*s[73])/9 - 
       (32*s[74])/3 + (67*s[75])/6 - (32*s[76])/9 - (127*s[77])/9 + 
       (319*s[78])/18 + (461*s[79])/3 - (321*s[80])/8 - s[81]/12 + 
       118*s[82] - (5*s[83])/6 + (131*s[84])/3 + (92*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*
      ((137*s[2])/9 + (521*s[3])/72 + (11045*s[4])/24 + (265039*s[5])/792 + 
       (1277819*s[6])/1584 + (51905507*s[7])/7128 - (12676957*s[8])/21384 - 
       (11994443*s[9])/1944 - (6868649*s[10])/3888 - (57389819*s[11])/7128 - 
       (63436357*s[12])/7128 - (6407107*s[13])/1188 - (2652985*s[14])/3564 - 
       (4100057*s[15])/432 - (115257709*s[16])/9504 - 
       (258735271*s[17])/28512 - (32354593*s[18])/23328 - 
       (21939449*s[19])/23328 - (915304163*s[20])/64152 - 
       (1337079881*s[21])/256608 + (493270505*s[22])/128304 + 
       (88837993*s[23])/9504 + (991969877*s[24])/128304 - 
       (11898285037*s[25])/1154736 + (13010670113*s[26])/2309472 + 
       (16*s[30])/9 + 6*s[31] + (43*s[33])/4 - (70*s[34])/9 - (10*s[35])/9 - 
       (499*s[36])/27 + (4283*s[37])/216 + (2419*s[38])/8 - 
       (19135*s[39])/16 + (578197*s[40])/432 - (16925*s[41])/16 + 
       (742007*s[42])/432 + (5080127*s[43])/4752 - (5228645*s[44])/4752 + 
       (5270011*s[45])/4752 - (594139*s[46])/66 + (5218837*s[47])/14256 + 
       (2354041*s[48])/14256 - (136452683*s[49])/28512 + 
       (8151719*s[50])/1188 + (32094379*s[51])/28512 + (1696471*s[52])/1782 - 
       (1894441*s[53])/396 + (149195*s[54])/528 - (8923256*s[55])/297 - 
       (226628701*s[56])/28512 + (187182535*s[57])/21384 - 
       (3629257505*s[58])/256608 + (3700153097*s[59])/256608 + 
       (12565250981*s[60])/171072 - (1100353747*s[61])/288684 - (5*s[68])/9 + 
       (5*s[69])/9 - 2*s[70] - s[71] + 4*s[72] - (79*s[74])/18 + 
       (79*s[75])/18 - (104*s[76])/9 - (5*s[77])/9 + (68*s[78])/9 + 
       (908*s[79])/9 - (478*s[80])/27 - (52*s[82])/3 + 48*s[84] + 
       (92*s[85])/3) + HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u]*
      ((58*s[2])/3 - (1325*s[3])/72 + (10109*s[4])/24 + (22303*s[5])/36 + 
       (89743*s[6])/72 + (9235039*s[7])/864 - (2415145*s[8])/3888 - 
       (9037765*s[9])/972 - (5950933*s[10])/1944 - (30157717*s[11])/2592 - 
       (15994807*s[12])/1296 - (19284373*s[13])/2592 - (6386587*s[14])/2592 - 
       (37397749*s[15])/2592 - (23505299*s[16])/1296 - 
       (37931959*s[17])/2592 - (6374933*s[18])/2916 - (1945421*s[19])/1458 - 
       (65095241*s[20])/2916 - (201752911*s[21])/23328 + 
       (132973715*s[22])/23328 + (13441969*s[23])/1296 + 
       (68441705*s[24])/5832 - (185764033*s[25])/13122 + 
       (221099393*s[26])/26244 + (5*s[28])/2 + (13*s[29])/2 - (17*s[30])/9 + 
       (116*s[31])/9 - (22*s[32])/3 - (91*s[33])/36 - (203*s[34])/12 - 
       (55*s[35])/36 - (5489*s[36])/216 + (1849*s[37])/48 + (6925*s[38])/18 - 
       (396845*s[39])/288 + (1346627*s[40])/864 - (38921*s[41])/32 + 
       (1699495*s[42])/864 + (12185473*s[43])/9504 - (24483407*s[44])/19008 + 
       (468257*s[45])/352 - (24892885*s[46])/2376 + (23763889*s[47])/57024 + 
       (17115907*s[48])/57024 - (317788555*s[49])/57024 + 
       (18887623*s[50])/2376 + (77745395*s[51])/57024 + 
       (64598741*s[52])/57024 - (9654353*s[53])/1782 + (119903*s[54])/594 - 
       (218492927*s[55])/6336 - (526399333*s[56])/57024 + 
       (230110457*s[57])/21384 - (8577788225*s[58])/513216 + 
       (8661507269*s[59])/513216 + (29439020647*s[60])/342144 - 
       (10131808255*s[61])/2309472 - 3*s[63] + (5*s[64])/8 + (10*s[65])/9 - 
       s[66]/18 - (35*s[67])/18 + (19*s[68])/18 - (67*s[69])/9 + 
       (391*s[70])/18 - (175*s[71])/36 + (43*s[72])/18 + (32*s[73])/9 - 
       (29*s[74])/8 + (39*s[75])/8 - (103*s[76])/18 - (913*s[77])/36 + 
       (19*s[78])/18 + (404*s[79])/3 - (413*s[80])/72 - 32*s[82] - 
       (10*s[83])/3 + (236*s[84])/3 + (92*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      ((-1445*s[2])/144 - (5423*s[3])/288 - (129959*s[4])/576 - 
       (63367*s[5])/792 - (1950593*s[6])/6336 - (247076029*s[7])/114048 + 
       (13790237*s[8])/57024 + (1140803*s[9])/648 + (874153*s[10])/2592 + 
       (30977711*s[11])/12672 + (26552293*s[12])/9504 + 
       (199853417*s[13])/114048 - (526127*s[14])/4224 + 
       (27819715*s[15])/10368 + (99036587*s[16])/28512 + 
       (268671697*s[17])/114048 + (316307*s[18])/648 + (696091*s[19])/5184 + 
       (216182795*s[20])/57024 + (488831983*s[21])/342144 - 
       (379797523*s[22])/342144 - (121667869*s[23])/28512 - 
       (83064017*s[24])/42768 + (5033888537*s[25])/1539648 - 
       (2658613505*s[26])/1539648 + (5*s[30])/9 - (173*s[31])/36 - 
       (697*s[32])/72 - (1243*s[33])/288 + (379*s[34])/36 + (215*s[35])/72 + 
       (4799*s[36])/216 - (131*s[37])/48 - (1253*s[38])/9 + 
       (41653*s[39])/72 - (66907*s[40])/108 + (3095*s[41])/6 - 
       (188707*s[42])/216 - (1251049*s[43])/2376 + (9813473*s[44])/19008 - 
       (1369847*s[45])/3168 + (38066911*s[46])/9504 - 
       (11373151*s[47])/57024 - (1964455*s[48])/57024 + 
       (129158089*s[49])/57024 - (14380145*s[50])/4752 - 
       (33548903*s[51])/57024 - (25972097*s[52])/57024 + 
       (30817957*s[53])/14256 - (585379*s[54])/4752 + 
       (250109449*s[55])/19008 + (198799543*s[56])/57024 - 
       (371481965*s[57])/85536 + (3247497515*s[58])/513216 - 
       (3381433265*s[59])/513216 - (10889122045*s[60])/342144 + 
       (7589432963*s[61])/4618944 - s[64]/8 + (37*s[65])/72 + (14*s[66])/9 - 
       (121*s[67])/36 - (211*s[68])/36 - (229*s[69])/36 - (55*s[70])/36 + 
       (89*s[71])/72 - (137*s[72])/36 - (143*s[73])/36 + (535*s[74])/144 - 
       (571*s[75])/144 + (4*s[76])/3 - (265*s[77])/72 - (265*s[78])/36 - 
       6*s[79] - (1255*s[80])/72 + (487*s[82])/2 - (25*s[83])/6 - 
       (7*s[84])/2 + (95*s[85])/3) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]^2*((4915*s[2])/144 + (5*s[3])/32 + (82253*s[4])/64 + 
       (1409737*s[5])/1584 + (14397839*s[6])/6336 + (2333769551*s[7])/
        114048 - (283928921*s[8])/171072 - (33686195*s[9])/1944 - 
       (40673797*s[10])/7776 - (2579577521*s[11])/114048 - 
       (709133713*s[12])/28512 - (573853717*s[13])/38016 - 
       (258990221*s[14])/114048 - (30921353*s[15])/1152 - 
       (54281965*s[16])/1584 - (2954563591*s[17])/114048 - 
       (43769273*s[18])/11664 - (135924097*s[19])/46656 - 
       (20686131817*s[20])/513216 - (15045380051*s[21])/1026432 + 
       (11094607111*s[22])/1026432 + (58540301*s[23])/2376 + 
       (5671360645*s[24])/256608 - (133375974637*s[25])/4618944 + 
       (72956653717*s[26])/4618944 - (133*s[30])/18 + (523*s[31])/36 - 
       (161*s[32])/18 + (3613*s[33])/288 - (214*s[34])/9 - (677*s[35])/72 - 
       (2947*s[36])/54 + (23875*s[37])/432 + (53185*s[38])/72 - 
       (825985*s[39])/288 + (2753083*s[40])/864 - (722195*s[41])/288 + 
       (3576365*s[42])/864 + (2160007*s[43])/864 - (1137215*s[44])/432 + 
       (2233465*s[45])/864 - (2291611*s[46])/108 + (313123*s[47])/324 + 
       (726095*s[48])/2592 - (14622283*s[49])/1296 + (7022123*s[50])/432 + 
       (7317577*s[51])/2592 + (5992843*s[52])/2592 - (28840207*s[53])/2592 + 
       (9842*s[54])/27 - (60705013*s[55])/864 - (1335107*s[56])/72 + 
       (57053033*s[57])/2592 - (263159063*s[58])/7776 + 
       (266665181*s[59])/7776 + (2695213037*s[60])/15552 - 
       (207468101*s[61])/23328 - s[64]/8 - (59*s[65])/72 - (34*s[66])/9 + 
       (263*s[67])/36 - (19*s[68])/36 + (347*s[69])/36 - (19*s[70])/36 - 
       (77*s[71])/36 + (371*s[72])/36 - (143*s[73])/12 - (679*s[74])/48 + 
       (661*s[75])/48 - (115*s[76])/9 - (893*s[77])/72 + (599*s[78])/36 + 
       (2287*s[79])/9 - (7799*s[80])/216 - (133*s[82])/2 - s[83]/6 + 
       (233*s[84])/2 + (95*s[85])/3) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w]*((27*s[2])/2 + (53*s[3])/6 + 155*s[4] + 
       (41245*s[5])/132 + (74633*s[6])/132 + (3793717*s[7])/792 - 
       (950041*s[8])/3564 - (1339853*s[9])/324 - (480217*s[10])/324 - 
       (6144773*s[11])/1188 - (6368917*s[12])/1188 - (933725*s[13])/297 - 
       (368195*s[14])/297 - (1445243*s[15])/216 - (19781599*s[16])/2376 - 
       (2104625*s[17])/297 - (901507*s[18])/972 - (185006*s[19])/243 - 
       (108453407*s[20])/10692 - (21126631*s[21])/5346 + 
       (26990413*s[22])/10692 + (9462065*s[23])/2376 + 
       (114685739*s[24])/21384 - (1197462001*s[25])/192456 + 
       (720070015*s[26])/192456 + (8*s[30])/3 + (16*s[31])/3 - 3*s[32] + 
       s[33]/3 - 9*s[34] - (5*s[35])/3 - (212*s[36])/9 + (79*s[37])/4 + 
       (385*s[38])/3 - (1568*s[39])/3 + (4889*s[40])/9 - 404*s[41] + 
       (13433*s[42])/18 + (34483*s[43])/99 - (341201*s[44])/792 + 
       (38565*s[45])/88 - (2791859*s[46])/792 + (330905*s[47])/1188 - 
       (139411*s[48])/1188 - (2140631*s[49])/1188 + (527321*s[50])/198 + 
       (636835*s[51])/1188 + (1017509*s[52])/2376 - (4299037*s[53])/2376 - 
       (7247*s[54])/198 - (1465499*s[55])/132 - (1772611*s[56])/594 + 
       (17281097*s[57])/3564 - (127214687*s[58])/21384 + 
       (62249653*s[59])/10692 + (392973133*s[60])/14256 - 
       (593107195*s[61])/384912 + s[62]/2 - (4*s[65])/3 - (16*s[66])/3 + 
       (28*s[67])/3 + (31*s[68])/3 + (31*s[69])/3 + (10*s[70])/3 + 
       (4*s[71])/3 + (22*s[72])/3 - (38*s[73])/3 - (13*s[74])/2 + 
       (13*s[75])/2 - (22*s[76])/3 - (8*s[77])/3 + (49*s[78])/3 - 2*s[79] + 
       (29*s[80])/6 + 128*s[82] + 4*s[83] + 16*s[84] + 32*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((-33*s[2])/4 + (343*s[3])/8 + (8117*s[4])/16 - (8185*s[5])/88 + 
       (51653*s[6])/176 + (3339551*s[7])/1056 - (2752327*s[8])/4752 - 
       (254717*s[9])/108 - (35371*s[10])/108 - (12188035*s[11])/3168 - 
       (1981513*s[12])/396 - (9962833*s[13])/3168 + (4070921*s[14])/3168 - 
       (913883*s[15])/288 - (1918025*s[16])/396 - (6695893*s[17])/3168 - 
       (123193*s[18])/324 - (740627*s[19])/1296 - (65561567*s[20])/14256 - 
       (27062485*s[21])/28512 + (46207301*s[22])/28512 + 
       (2804347*s[23])/396 + (22216367*s[24])/7128 - (743270519*s[25])/
        128304 + (289880867*s[26])/128304 - 8*s[29] + (9*s[30])/2 - 6*s[31] + 
       6*s[32] + (27*s[33])/2 + (11*s[34])/2 - (23*s[35])/2 - 12*s[36] + 
       (271*s[37])/12 + 175*s[38] - (5969*s[39])/8 + (6569*s[40])/8 - 
       (4885*s[41])/8 + (8783*s[42])/8 + (39199*s[43])/88 - 
       (51263*s[44])/88 + (94727*s[45])/264 - (126892*s[46])/33 + 
       (40273*s[47])/88 - (13903*s[48])/44 - (192671*s[49])/88 + 
       (61295*s[50])/22 + (26084*s[51])/33 + (7369*s[52])/11 - 
       (1403101*s[53])/792 + (39887*s[54])/132 - (471411*s[55])/44 - 
       (2673203*s[56])/792 + (21878669*s[57])/2376 - (6765665*s[58])/891 + 
       (25737581*s[59])/3564 + (22794119*s[60])/792 - (12703400*s[61])/8019 - 
       2*s[63] - s[64]/2 - 2*s[65] - 2*s[66] + 5*s[67] + 5*s[68] + 7*s[69] + 
       4*s[70] + (7*s[71])/2 + 7*s[72] - 25*s[73] - (29*s[74])/4 + 
       (27*s[75])/4 - 6*s[76] - (11*s[77])/2 + 11*s[78] + 82*s[79] - 
       (269*s[80])/6 - 26*s[82] + (9*s[83])/2 + 27*s[84] + 32*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      (s[3]/2 + 106*s[4] - (285*s[5])/2 - (39*s[6])/2 - (1891*s[7])/36 - 
       (4685*s[8])/108 + (16069*s[9])/108 + (1709*s[10])/27 - 
       (3413*s[11])/18 - (10531*s[12])/18 - (8911*s[13])/18 + 
       (9685*s[14])/18 + (7828*s[15])/9 + (14101*s[16])/36 + (4759*s[17])/4 + 
       (27881*s[18])/324 - (34589*s[19])/324 + (112183*s[20])/162 + 
       (48272*s[21])/81 - (1517*s[22])/162 + (3305*s[23])/18 + 
       (9451*s[24])/162 - (3023009*s[25])/5832 - (808975*s[26])/5832 - 
       5*s[30] - 6*s[31] + 2*s[32] - (39*s[33])/4 + 16*s[34] + 2*s[35] + 
       (139*s[36])/6 + (11*s[37])/2 + 67*s[38] - (591*s[39])/8 + 
       (2417*s[40])/24 - (471*s[41])/8 + (469*s[42])/24 + (1433*s[43])/24 - 
       (3019*s[44])/48 + (149*s[45])/4 - (5621*s[46])/24 + (401*s[47])/144 + 
       (24563*s[48])/144 - (38963*s[49])/144 + (685*s[50])/12 + 
       (11227*s[51])/144 + (18913*s[52])/144 + (21053*s[53])/72 - 
       (221*s[54])/6 + (64847*s[55])/48 - (6161*s[56])/144 + 
       (60494*s[57])/27 - (1232011*s[58])/1296 + (365005*s[59])/1296 + 
       (1899473*s[60])/864 + (80117*s[61])/11664 - s[64]/2 + s[65]/2 + 
       4*s[66] - 6*s[67] - s[68] - 11*s[69] + 10*s[70] - s[71] - 8*s[72] + 
       2*s[73] - s[75]/2 - 9*s[76] - 2*s[77] - 16*s[78] + 54*s[79] - 
       20*s[80] - 26*s[82] + (9*s[83])/2 + 27*s[84] + 32*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*
      (-14*s[2] - (1255*s[3])/12 + (1627*s[4])/24 + (10907*s[5])/132 + 
       (19301*s[6])/264 + (2387195*s[7])/1584 - (949891*s[8])/7128 - 
       (457237*s[9])/324 - (133091*s[10])/324 - (7407949*s[11])/4752 - 
       (3829561*s[12])/2376 - (4252957*s[13])/4752 - (1086199*s[14])/4752 - 
       (926099*s[15])/432 - (747376*s[16])/297 - (9894343*s[17])/4752 - 
       (272015*s[18])/972 - (214259*s[19])/1944 - (66147293*s[20])/21384 - 
       (50907313*s[21])/42768 + (37122653*s[22])/42768 + 
       (4206067*s[23])/2376 + (29889115*s[24])/21384 - 
       (357974693*s[25])/192456 + (209745629*s[26])/192456 + (4*s[30])/3 + 
       (14*s[31])/3 - (9*s[32])/2 + (89*s[33])/12 - 8*s[34] - (7*s[35])/3 - 
       (175*s[36])/9 - (35*s[37])/3 + 35*s[38] - (633*s[39])/2 + 
       (6545*s[40])/18 - (689*s[41])/2 + (9739*s[42])/18 + 
       (39577*s[43])/198 - (221989*s[44])/792 + (30317*s[45])/132 - 
       (927383*s[46])/396 + (442625*s[47])/2376 - (432403*s[48])/2376 - 
       (2689103*s[49])/2376 + (204368*s[50])/99 + (1006693*s[51])/2376 + 
       (576229*s[52])/2376 - (850013*s[53])/594 - (26515*s[54])/198 - 
       (2261161*s[55])/264 - (4685873*s[56])/2376 + (6846691*s[57])/3564 - 
       (73685377*s[58])/21384 + (78094711*s[59])/21384 + 
       (272131979*s[60])/14256 - (184439017*s[61])/192456 - (2*s[65])/3 - 
       (8*s[66])/3 + (14*s[67])/3 + (23*s[68])/3 + (35*s[69])/3 + 
       (2*s[70])/3 + (2*s[71])/3 + (26*s[72])/3 - (40*s[73])/3 - 
       (13*s[74])/2 + (13*s[75])/2 - (8*s[76])/3 - (10*s[77])/3 + 
       (38*s[78])/3 + 80*s[79] - (71*s[80])/3 + 108*s[82] + 2*s[83] + 
       32*s[84] + 32*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*((-62*s[2])/3 + (227*s[3])/6 + (4507*s[4])/6 + 
       (811*s[5])/2 + (3245*s[6])/3 + (2480359*s[7])/216 - (88456*s[8])/81 - 
       (3105043*s[9])/324 - (471961*s[10])/162 - (2734003*s[11])/216 - 
       (1526005*s[12])/108 - (66473*s[13])/8 - (179095*s[14])/216 - 
       (367001*s[15])/24 - (691811*s[16])/36 - (3080795*s[17])/216 - 
       (1808513*s[18])/972 - (1970629*s[19])/972 - (21896897*s[20])/972 - 
       (14807269*s[21])/1944 + (11677913*s[22])/1944 + (41305*s[23])/3 + 
       (3144364*s[24])/243 - (289998601*s[25])/17496 + 
       (151306117*s[26])/17496 - 14*s[29] + 3*s[30] - 28*s[31] + 
       (7*s[32])/3 - (107*s[33])/4 + (73*s[34])/3 - (94*s[35])/3 - 
       (229*s[36])/9 + (1535*s[37])/18 + (1225*s[38])/3 - (18775*s[39])/12 + 
       (63289*s[40])/36 - (5259*s[41])/4 + (78635*s[42])/36 + 
       (613499*s[43])/396 - (1224175*s[44])/792 + (752197*s[45])/396 - 
       (460054*s[46])/33 + (706511*s[47])/2376 + (1240253*s[48])/2376 - 
       (16125173*s[49])/2376 + (1061036*s[50])/99 + (3411673*s[51])/2376 + 
       (2891833*s[52])/2376 - (748733*s[53])/99 + (32861*s[54])/66 - 
       (38465983*s[55])/792 - (30221179*s[56])/2376 + (15611359*s[57])/1782 - 
       (443378015*s[58])/21384 + (453877307*s[59])/21384 + 
       (1649736689*s[60])/14256 - (593584369*s[61])/96228 - 6*s[62] + 
       (2*s[65])/3 + 6*s[66] - 8*s[67] - 10*s[68] - 18*s[69] - 
       (104*s[70])/3 + s[71] + (8*s[72])/3 - (2*s[74])/3 + s[75]/3 + 
       58*s[77] - (50*s[78])/3 + (608*s[79])/3 - (757*s[80])/9 + s[81]/3 + 
       224*s[82] + 12*s[83] + 36*s[84] + 32*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((-83*s[2])/3 + (199*s[3])/3 + (3961*s[4])/4 + (69335*s[5])/132 + 
       (45362*s[6])/33 + (16168627*s[7])/1188 - (435704*s[8])/297 - 
       (606617*s[9])/54 - (331397*s[10])/108 - (1498001*s[11])/99 - 
       (3401251*s[12])/198 - (6041065*s[13])/594 - (181835*s[14])/396 - 
       (1893133*s[15])/108 - (6663086*s[16])/297 - (9513893*s[17])/594 - 
       (400343*s[18])/162 - (323269*s[19])/162 - (46351273*s[20])/1782 - 
       (5353165*s[21])/594 + (25179215*s[22])/3564 + (22243039*s[23])/1188 + 
       (51369221*s[24])/3564 - (106655621*s[25])/5346 + 
       (27959290*s[26])/2673 - 34*s[29] + 9*s[30] - (64*s[31])/3 + 
       (16*s[32])/3 - (47*s[33])/4 + 17*s[34] - (107*s[35])/3 - 
       (505*s[36])/9 + (776*s[37])/9 + (1679*s[38])/3 - (8815*s[39])/4 + 
       (85171*s[40])/36 - (20875*s[41])/12 + (111677*s[42])/36 + 
       (773081*s[43])/396 - (1552189*s[44])/792 + (474289*s[45])/198 - 
       (7027501*s[46])/396 + (1778801*s[47])/2376 + (407387*s[48])/2376 - 
       (20718803*s[49])/2376 + (2621983*s[50])/198 + (4695391*s[51])/2376 + 
       (4197163*s[52])/2376 - (11284967*s[53])/1188 + (136111*s[54])/198 - 
       (47836397*s[55])/792 - (4271425*s[56])/264 + (4570888*s[57])/297 - 
       (197668721*s[58])/7128 + (200887991*s[59])/7128 + 
       (2034330761*s[60])/14256 - (56662225*s[61])/7128 - 6*s[62] - s[65] + 
       2*s[66] - 4*s[67] + 8*s[68] - 8*s[69] - 40*s[70] + (8*s[71])/3 + 
       (32*s[72])/3 - (23*s[74])/3 + (25*s[75])/3 - (44*s[76])/3 + 
       (184*s[77])/3 + (100*s[78])/3 + (176*s[79])/3 - (236*s[80])/9 + 
       s[81]/3 + 224*s[82] + 12*s[83] + 36*s[84] + 32*s[85]) + 
     HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*((55*s[2])/8 + (127*s[3])/8 + 
       (463*s[4])/2 + (35257*s[5])/264 + (70237*s[6])/176 + 
       (33630451*s[7])/9504 - (235534*s[8])/891 - (245252*s[9])/81 - 
       (1111315*s[10])/1296 - (18881597*s[11])/4752 - (42009047*s[12])/9504 - 
       (2881759*s[13])/1056 - (3294637*s[14])/9504 - (433129*s[15])/96 - 
       (2320667*s[16])/396 - (20395765*s[17])/4752 - (2399803*s[18])/3888 - 
       (244849*s[19])/486 - (18468404*s[20])/2673 - (212476387*s[21])/85536 + 
       (162128489*s[22])/85536 + (4438325*s[23])/1056 + 
       (329522723*s[24])/85536 - (3913533847*s[25])/769824 + 
       (2107793431*s[26])/769824 + s[28]/2 + s[29]/2 + (13*s[30])/6 + 
       (13*s[31])/3 - (15*s[32])/2 - (127*s[33])/24 - (101*s[34])/12 + 
       (31*s[35])/12 - (245*s[36])/24 + (247*s[37])/16 + (1799*s[38])/12 - 
       (49411*s[39])/96 + (58447*s[40])/96 - (45791*s[41])/96 + 
       (23659*s[42])/32 + (532517*s[43])/1056 - (361301*s[44])/704 + 
       (595843*s[45])/1056 - (92689*s[46])/22 + (934321*s[47])/6336 + 
       (1182283*s[48])/6336 - (14064103*s[49])/6336 + (214967*s[50])/66 + 
       (3422431*s[51])/6336 + (2661581*s[52])/6336 - (429415*s[53])/198 - 
       (4827*s[54])/88 - (9833507*s[55])/704 - (7749419*s[56])/2112 + 
       (1600373*s[57])/396 - (42181297*s[58])/6336 + (42349085*s[59])/6336 + 
       (1345632163*s[60])/38016 - (150935053*s[61])/85536 - 2*s[63] + 
       (5*s[64])/8 + (5*s[65])/6 - (7*s[66])/6 + s[67]/6 + 2*s[68] - 
       (8*s[69])/3 + (127*s[70])/6 - (35*s[71])/12 + (5*s[72])/6 - 
       (19*s[74])/24 + (49*s[75])/24 + (11*s[76])/6 - (271*s[77])/12 - 
       s[78]/2 + (226*s[79])/3 - (211*s[80])/24 + 127*s[82] - (5*s[83])/2 + 
       41*s[84] + 32*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u]*(18*s[2] + (619*s[3])/12 + (4631*s[4])/8 + 
       (13597*s[5])/33 + (293965*s[6])/264 + (15119641*s[7])/1584 - 
       (5228771*s[8])/7128 - (2606165*s[9])/324 - (832555*s[10])/324 - 
       (49633565*s[11])/4752 - (26894585*s[12])/2376 - 
       (32353229*s[13])/4752 - (6527531*s[14])/4752 - (5533537*s[15])/432 - 
       (38507749*s[16])/2376 - (60403055*s[17])/4752 - (1750573*s[18])/972 - 
       (2672329*s[19])/1944 - (408600799*s[20])/21384 - 
       (299513141*s[21])/42768 + (213693217*s[22])/42768 + 
       (3243193*s[23])/297 + (27726361*s[24])/2673 - (2541897361*s[25])/
        192456 + (1415480293*s[26])/192456 + (8*s[30])/3 + (22*s[31])/3 + 
       (5*s[32])/2 + (67*s[33])/12 - 12*s[34] - (17*s[35])/3 - 
       (302*s[36])/9 + (46*s[37])/3 + (937*s[38])/3 - (15203*s[39])/12 + 
       (50741*s[40])/36 - (4477*s[41])/4 + (66637*s[42])/36 + 
       (429883*s[43])/396 - (908273*s[44])/792 + (37786*s[45])/33 - 
       (3742741*s[46])/396 + (1036525*s[47])/2376 + (218851*s[48])/2376 - 
       (11587363*s[49])/2376 + (716140*s[50])/99 + (3029039*s[51])/2376 + 
       (2458355*s[52])/2376 - (5942291*s[53])/1188 + (24575*s[54])/99 - 
       (2767979*s[55])/88 - (20132341*s[56])/2376 + (8815460*s[57])/891 - 
       (322778165*s[58])/21384 + (326653511*s[59])/21384 + 
       (1088747113*s[60])/14256 - (780920123*s[61])/192456 - s[65]/3 - 
       (4*s[66])/3 + (4*s[67])/3 + (7*s[68])/3 + (7*s[69])/3 - (2*s[70])/3 - 
       (5*s[71])/3 + (22*s[72])/3 - (8*s[73])/3 - (15*s[74])/2 + 
       (15*s[75])/2 - (28*s[76])/3 - (2*s[77])/3 + (34*s[78])/3 + 116*s[79] - 
       12*s[80] - 52*s[82] + s[83] + 58*s[84] + 32*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((31*s[2])/2 - (775*s[3])/12 + (2867*s[4])/8 + (12649*s[5])/33 + 
       (204995*s[6])/264 + (36119155*s[7])/4752 - (4055075*s[8])/7128 - 
       (1060381*s[9])/162 - (350945*s[10])/162 - (38840051*s[11])/4752 - 
       (5182685*s[12])/594 - (24417001*s[13])/4752 - (6670115*s[14])/4752 - 
       (4456037*s[15])/432 - (30494921*s[16])/2376 - (5417213*s[17])/528 - 
       (369766*s[18])/243 - (1864519*s[19])/1944 - (334385137*s[20])/21384 - 
       (250739837*s[21])/42768 + (172340365*s[22])/42768 + 
       (18892711*s[23])/2376 + (174294041*s[24])/21384 - 
       (1944750079*s[25])/192456 + (1123099399*s[26])/192456 - (14*s[30])/3 + 
       (8*s[31])/3 - (10*s[33])/3 - 5*s[34] + (50*s[35])/3 - (451*s[36])/18 - 
       (199*s[37])/18 + (731*s[38])/3 - (8039*s[39])/8 + (81859*s[40])/72 - 
       (22829*s[41])/24 + (106415*s[42])/72 + (757289*s[43])/792 - 
       (1528015*s[44])/1584 + (228893*s[45])/198 - (7023067*s[46])/792 + 
       (1200803*s[47])/4752 + (1048277*s[48])/4752 - (20188649*s[49])/4752 + 
       (694885*s[50])/99 + (5036797*s[51])/4752 + (3751213*s[52])/4752 - 
       (11687351*s[53])/2376 + (9052*s[54])/99 - (16549481*s[55])/528 - 
       (12739105*s[56])/1584 + (493963*s[57])/99 - (185034571*s[58])/14256 + 
       (190679953*s[59])/14256 + (2092984679*s[60])/28512 - 
       (504735587*s[61])/128304 + (11*s[62])/3 + s[65]/3 + (4*s[66])/3 - 
       (10*s[67])/3 - (10*s[68])/3 + (2*s[69])/3 + (2*s[70])/3 - 
       (7*s[71])/3 + (14*s[72])/3 + (14*s[73])/3 - (13*s[74])/2 + 
       (13*s[75])/2 + (19*s[76])/3 - s[77]/3 - (19*s[78])/3 + (362*s[79])/3 - 
       (220*s[80])/9 - 72*s[82] - s[83] + 74*s[84] + 32*s[85]) + 
     HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - w]*((89*s[2])/4 + 
       (103*s[3])/16 + (30219*s[4])/32 + (24185*s[5])/33 + 
       (608335*s[6])/352 + (296001109*s[7])/19008 - (35392015*s[8])/28512 - 
       (8566019*s[9])/648 - (2585395*s[10])/648 - (326228899*s[11])/19008 - 
       (178600693*s[12])/9504 - (71434157*s[13])/6336 - 
       (37796137*s[14])/19008 - (11890049*s[15])/576 - 
       (27684059*s[16])/1056 - (382201709*s[17])/19008 - 
       (1411291*s[18])/486 - (17224727*s[19])/7776 - (2654515271*s[20])/
        85536 - (1938405955*s[21])/171072 + (1403951027*s[22])/171072 + 
       (7245859*s[23])/396 + (720467633*s[24])/42768 - 
       (8390186539*s[25])/384912 + (579512333*s[26])/48114 - (35*s[30])/4 + 
       (61*s[31])/6 - (31*s[32])/12 + (97*s[33])/16 - 21*s[34] - 2*s[35] - 
       (165*s[36])/4 + (701*s[37])/18 + (14449*s[38])/24 - (56177*s[39])/24 + 
       (62521*s[40])/24 - (99121*s[41])/48 + (13509*s[42])/4 + 
       (181131*s[43])/88 - (2310503*s[44])/1056 + (3593917*s[45])/1584 - 
       (28577191*s[46])/1584 + (279359*s[47])/352 + (349061*s[48])/1056 - 
       (9964333*s[49])/1056 + (7339315*s[50])/528 + (7440035*s[51])/3168 + 
       (1945237*s[52])/1056 - (45571781*s[53])/4752 + (146981*s[54])/1584 - 
       (191988277*s[55])/3168 - (150345047*s[56])/9504 + 
       (118795889*s[57])/7128 - (2411088937*s[58])/85536 + 
       (2450555215*s[59])/85536 + (2812897843*s[60])/19008 - 
       (746512871*s[61])/96228 + (11*s[62])/8 + s[64]/8 - s[65]/8 - 
       (9*s[66])/2 + (47*s[67])/6 + (29*s[68])/6 + (37*s[69])/3 + 
       (83*s[70])/6 - (91*s[71])/24 + 10*s[72] - (15*s[73])/2 - 
       (41*s[74])/3 + (85*s[75])/6 + (5*s[76])/2 - (64*s[77])/3 + 
       (67*s[78])/3 + (554*s[79])/3 - (1105*s[80])/36 - s[81]/12 + 27*s[82] + 
       86*s[84] + 32*s[85]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*((-317*s[2])/18 + (1177*s[3])/36 - 
       (7163*s[4])/72 - (594013*s[5])/1584 - (36910*s[6])/99 - 
       (3407356*s[7])/891 + (810221*s[8])/3564 + (2169989*s[9])/648 + 
       (1406213*s[10])/1296 + (2464885*s[11])/594 + (40178683*s[12])/9504 + 
       (72419071*s[13])/28512 + (6323569*s[14])/9504 + (1793251*s[15])/324 + 
       (190407247*s[16])/28512 + (5205316*s[17])/891 + (2740801*s[18])/3888 + 
       (676031*s[19])/972 + (82049831*s[20])/10692 + (30342409*s[21])/9504 - 
       (172868059*s[22])/85536 - (29061821*s[23])/7128 - 
       (44272553*s[24])/10692 + (1292731189*s[25])/256608 - 
       (771539605*s[26])/256608 + (31*s[30])/9 - (136*s[31])/9 + 
       (247*s[32])/18 - (137*s[33])/18 + (287*s[34])/9 + (301*s[35])/18 + 
       (4529*s[36])/108 - (275*s[37])/4 - (5761*s[38])/36 + 
       (118585*s[39])/144 - (338111*s[40])/432 + (8813*s[41])/16 - 
       (260783*s[42])/216 - (2240053*s[43])/4752 + (3047485*s[44])/4752 - 
       (154877*s[45])/396 + (20228191*s[46])/4752 - (6848921*s[47])/14256 + 
       (3449093*s[48])/7128 + (19141411*s[49])/7128 - (1905239*s[50])/594 - 
       (10137289*s[51])/14256 - (1005905*s[52])/1782 + 
       (33854669*s[53])/14256 + (235637*s[54])/2376 + (16044953*s[55])/1188 + 
       (21729319*s[56])/7128 - (298542239*s[57])/42768 + 
       (464671373*s[58])/64152 - (985682125*s[59])/128304 - 
       (1346047093*s[60])/42768 + (3704260853*s[61])/2309472 + (5*s[62])/2 - 
       s[64]/6 + (71*s[65])/18 + (103*s[66])/9 - (185*s[67])/9 - 
       (65*s[68])/9 - (314*s[69])/9 + (205*s[70])/9 - (73*s[71])/9 - 
       (169*s[72])/9 + (433*s[73])/18 + (431*s[74])/36 - (425*s[75])/36 - 
       9*s[76] - (227*s[77])/18 - (805*s[78])/18 + (263*s[79])/3 + 
       (86*s[80])/9 - s[81]/6 - 79*s[82] - (101*s[83])/6 + 21*s[84] + 
       (100*s[85])/3) + HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((-85*s[2])/36 + (535*s[3])/24 - (9455*s[4])/48 - 
       (335107*s[5])/1584 - (547337*s[6])/1584 - (55209619*s[7])/14256 + 
       (1020950*s[8])/2673 + (12658087*s[9])/3888 + (514801*s[10])/486 + 
       (116647451*s[11])/28512 + (124672201*s[12])/28512 + 
       (1453585*s[13])/594 + (2952359*s[14])/7128 + (98219*s[15])/18 + 
       (1171507*s[16])/176 + (156844459*s[17])/28512 + (3994513*s[18])/5832 + 
       (7048189*s[19])/11664 + (491325185*s[20])/64152 + 
       (351042943*s[21])/128304 - (258579887*s[22])/128304 - 
       (45277193*s[23])/9504 - (1021829299*s[24])/256608 + 
       (3030133451*s[25])/577368 - (821935357*s[26])/288684 + 3*s[28] + 
       5*s[29] - (125*s[30])/18 - (37*s[31])/9 - (32*s[32])/9 - 
       (233*s[33])/36 + (185*s[34])/18 + (119*s[35])/18 + (527*s[36])/27 - 
       (2351*s[37])/54 - (1255*s[38])/18 + (11641*s[39])/18 - 
       (35191*s[40])/54 + (35087*s[41])/72 - (438787*s[42])/432 - 
       (178259*s[43])/594 + (2450629*s[44])/4752 - (446269*s[45])/1188 + 
       (4832969*s[46])/1188 - (5337881*s[47])/14256 + (6219643*s[48])/14256 + 
       (6952409*s[49])/3564 - (3967903*s[50])/1188 - (4547717*s[51])/7128 - 
       (6592645*s[52])/14256 + (17418725*s[53])/7128 - (102221*s[54])/594 + 
       (8497541*s[55])/594 + (8224235*s[56])/2376 - (20440229*s[57])/4752 + 
       (268617367*s[58])/42768 - (280386493*s[59])/42768 - 
       (1326264937*s[60])/42768 + (172776935*s[61])/96228 - (16*s[63])/3 - 
       (7*s[64])/6 + (71*s[65])/18 + (79*s[66])/9 - (107*s[67])/9 - 
       (41*s[68])/9 - (206*s[69])/9 + (412*s[70])/9 - (125*s[71])/18 - 
       (143*s[72])/9 + (19*s[73])/3 + (143*s[74])/12 - (41*s[75])/4 + 
       (19*s[76])/9 - (919*s[77])/18 - (143*s[78])/9 - (340*s[79])/9 + 
       (1147*s[80])/27 - 29*s[82] - (71*s[83])/6 + 31*s[84] + 
       (100*s[85])/3) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((47*s[2])/6 + (39*s[3])/4 + (16729*s[4])/48 + (17911*s[5])/66 + 
       (702235*s[6])/1056 + (19173797*s[7])/3168 - (4584235*s[8])/9504 - 
       (4426247*s[9])/864 - (44015*s[10])/27 - (42003385*s[11])/6336 - 
       (45733931*s[12])/6336 - (2279225*s[13])/528 - (1339255*s[14])/1584 - 
       (2325097*s[15])/288 - (5401009*s[16])/528 - (50320277*s[17])/6336 - 
       (2905993*s[18])/2592 - (2305217*s[19])/2592 - (172959943*s[20])/
        14256 - (62835709*s[21])/14256 + (90829729*s[22])/28512 + 
       (14391235*s[23])/2112 + (377211029*s[24])/57024 - 
       (4309227913*s[25])/513216 + (2382380941*s[26])/513216 + s[30]/12 + 
       (17*s[31])/6 - (7*s[32])/6 + (25*s[33])/16 - (13*s[34])/4 - 
       (31*s[35])/48 - (617*s[36])/48 + (377*s[37])/24 + 199*s[38] - 
       (19405*s[39])/24 + (21893*s[40])/24 - (17183*s[41])/24 + 
       (55955*s[42])/48 + (32165*s[43])/44 - (808303*s[44])/1056 + 
       (57833*s[45])/66 - (883951*s[46])/132 + (785633*s[47])/3168 + 
       (469097*s[48])/3168 - (10517843*s[49])/3168 + (1364287*s[50])/264 + 
       (2523617*s[51])/3168 + (2035861*s[52])/3168 - (2842153*s[53])/792 + 
       (13897*s[54])/132 - (72349399*s[55])/3168 - (2122619*s[56])/352 + 
       (8697415*s[57])/1584 - (98012945*s[58])/9504 + (99264689*s[59])/9504 + 
       (1046314061*s[60])/19008 - (42216917*s[61])/14256 - s[71]/2 + 
       3*s[72] - (41*s[74])/12 + (41*s[75])/12 - (13*s[76])/3 - (5*s[77])/6 + 
       3*s[78] + 78*s[79] - (109*s[80])/6 + (463*s[82])/4 + 36*s[84] + 
       34*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - w]*
      ((79*s[2])/12 + (83*s[3])/8 + (2143*s[4])/6 + (33767*s[5])/132 + 
       (227743*s[6])/352 + (18713005*s[7])/3168 - (4607561*s[8])/9504 - 
       (4313611*s[9])/864 - (671719*s[10])/432 - (41082863*s[11])/6336 - 
       (44974231*s[12])/6336 - (4489163*s[13])/1056 - (2338177*s[14])/3168 - 
       (2255425*s[15])/288 - (10503671*s[16])/1056 - (48387715*s[17])/6336 - 
       (2844707*s[18])/2592 - (2210797*s[19])/2592 - (83789029*s[20])/7128 - 
       (121075843*s[21])/28512 + (22165235*s[22])/7128 + 
       (14553137*s[23])/2112 + (365387227*s[24])/57024 - 
       (4236424769*s[25])/513216 + (2323670753*s[26])/513216 + (7*s[30])/12 + 
       (17*s[31])/6 - (7*s[32])/6 + (37*s[33])/16 - (15*s[34])/4 - 
       (5*s[35])/6 - (53*s[36])/4 + (181*s[37])/12 + (1595*s[38])/8 - 
       (39257*s[39])/48 + (14745*s[40])/16 - (34781*s[41])/48 + 
       (28403*s[42])/24 + (383399*s[43])/528 - (271115*s[44])/352 + 
       (151429*s[45])/176 - (1169097*s[46])/176 + (827243*s[47])/3168 + 
       (391247*s[48])/3168 - (10471799*s[49])/3168 + (56328*s[50])/11 + 
       (858589*s[51])/1056 + (2070589*s[52])/3168 - (703133*s[53])/198 + 
       (31027*s[54])/264 - (71448415*s[55])/3168 - (18910247*s[56])/3168 + 
       (27421585*s[57])/4752 - (294088783*s[58])/28512 + 
       (297447871*s[59])/28512 + (1034405399*s[60])/19008 - 
       (751018819*s[61])/256608 - s[70]/2 - s[71]/2 + 3*s[72] - 
       (11*s[74])/3 + (11*s[75])/3 - (13*s[76])/3 - (5*s[77])/6 + 
       (7*s[78])/2 + 79*s[79] - (109*s[80])/6 + (463*s[82])/4 + 36*s[84] + 
       34*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((-377*s[2])/48 - (2815*s[3])/96 - (18405*s[4])/64 - 
       (16999*s[5])/264 - (239299*s[6])/704 - (85255091*s[7])/38016 + 
       (17185501*s[8])/57024 + (4746769*s[9])/2592 + (22157*s[10])/162 + 
       (100248325*s[11])/38016 + (15373207*s[12])/4752 + 
       (79374191*s[13])/38016 - (16132175*s[14])/38016 + 
       (8112133*s[15])/3456 + (31973831*s[16])/9504 + 
       (21993181*s[17])/12672 + (4489169*s[18])/7776 - (724993*s[19])/15552 + 
       (611923463*s[20])/171072 + (434585035*s[21])/342144 - 
       (401750375*s[22])/342144 - (53327743*s[23])/9504 - 
       (144717599*s[24])/85536 + (5683288931*s[25])/1539648 - 
       (2815482599*s[26])/1539648 - (13*s[30])/4 - (77*s[31])/12 + 
       (17*s[32])/12 - (641*s[33])/96 + (34*s[34])/3 - (29*s[35])/24 + 
       (419*s[36])/18 - (2737*s[37])/72 - (1135*s[38])/8 + (22477*s[39])/32 - 
       (220613*s[40])/288 + (18585*s[41])/32 - (19183*s[42])/18 - 
       (1590043*s[43])/3168 + (3563993*s[44])/6336 - (151967*s[45])/396 + 
       (12501125*s[46])/3168 - (6658495*s[47])/19008 + 
       (3725747*s[48])/19008 + (40566187*s[49])/19008 - 
       (4370381*s[50])/1584 - (12650087*s[51])/19008 - 
       (11766899*s[52])/19008 + (4547203*s[53])/2376 - (919643*s[54])/1584 + 
       (72485297*s[55])/6336 + (7777973*s[56])/2112 - (79616915*s[57])/9504 + 
       (425987605*s[58])/57024 - (414468841*s[59])/57024 - 
       (3293843293*s[60])/114048 + (46845301*s[61])/28512 + (5*s[65])/12 + 
       (5*s[66])/3 - (19*s[67])/6 - (11*s[68])/3 - (13*s[69])/6 + 
       (19*s[70])/3 - (13*s[71])/12 - (55*s[72])/12 + (13*s[73])/12 + 
       (181*s[74])/48 - (169*s[75])/48 + (143*s[76])/12 - (59*s[77])/8 - 
       (115*s[78])/12 - (263*s[79])/6 + (163*s[80])/18 + 170*s[82] - 
       (17*s[83])/4 - 37*s[84] + 35*s[85]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((959*s[2])/48 - (5843*s[3])/96 + (60977*s[4])/192 + (2613*s[5])/176 + 
       (522355*s[6])/2112 + (35623823*s[7])/12672 - (578713*s[8])/2112 - 
       (75821*s[9])/32 - (8543*s[10])/16 - (13989737*s[11])/4224 - 
       (2055953*s[12])/528 - (32898073*s[13])/12672 + (2205655*s[14])/4224 - 
       (3830773*s[15])/1152 - (27921095*s[16])/6336 - 
       (33301493*s[17])/12672 - (223609*s[18])/864 - (1029673*s[19])/1728 - 
       (87623065*s[20])/19008 - (53068327*s[21])/38016 + 
       (19494545*s[22])/12672 + (26340253*s[23])/6336 + 
       (6692267*s[24])/2112 - (393296845*s[25])/85536 + 
       (88181543*s[26])/42768 + s[29]/2 - (17*s[30])/6 + (101*s[31])/12 - 
       (5*s[32])/2 + (151*s[33])/32 - (41*s[34])/3 + (25*s[35])/24 - 
       (233*s[36])/36 + (125*s[37])/144 + (4967*s[38])/24 - 
       (64199*s[39])/96 + (214213*s[40])/288 - (60695*s[41])/96 + 
       (67115*s[42])/72 + (1925603*s[43])/3168 - (3749425*s[44])/6336 + 
       (1314217*s[45])/3168 - (1095485*s[46])/264 + (3580859*s[47])/19008 + 
       (2003129*s[48])/19008 - (51740963*s[49])/19008 + (2603897*s[50])/792 + 
       (11694535*s[51])/19008 + (10076731*s[52])/19008 - 
       (3283529*s[53])/1584 - (122219*s[54])/528 - (81340075*s[55])/6336 - 
       (58239769*s[56])/19008 + (78684427*s[57])/14256 - 
       (1158144005*s[58])/171072 + (1195088501*s[59])/171072 + 
       (3987584951*s[60])/114048 - (265615543*s[61])/192456 - s[64]/4 + 
       (11*s[65])/24 + (17*s[66])/6 - (5*s[67])/2 - (35*s[68])/6 - 
       (11*s[69])/3 + (9*s[70])/4 - (41*s[71])/12 - (3*s[72])/4 - 
       (27*s[73])/4 - (85*s[74])/48 + (85*s[75])/48 - (83*s[76])/12 - 
       (229*s[77])/24 - (59*s[78])/12 + (299*s[79])/3 - (607*s[80])/72 - 
       192*s[82] - 4*s[83] + (111*s[84])/2 + 35*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((59*s[2])/12 + (159*s[3])/8 + (2597*s[4])/16 + (98077*s[5])/528 + 
       (11338*s[6])/33 + (1257769*s[7])/352 - (97393*s[8])/396 - 
       (438473*s[9])/144 - (161821*s[10])/144 - (1336029*s[11])/352 - 
       (2086937*s[12])/528 - (2416879*s[13])/1056 - (776917*s[14])/1056 - 
       (1484153*s[15])/288 - (3296303*s[16])/528 - (5569681*s[17])/1056 - 
       (129005*s[18])/216 - (146275*s[19])/216 - (35637419*s[20])/4752 - 
       (25766815*s[21])/9504 + (17796275*s[22])/9504 + (1652977*s[23])/528 + 
       (4943995*s[24])/1188 - (404322403*s[25])/85536 + 
       (228728209*s[26])/85536 - s[30] + (4*s[31])/3 + s[32]/12 + 
       (31*s[33])/8 - s[34]/6 + (35*s[35])/3 - (49*s[36])/6 + (61*s[37])/12 + 
       (323*s[38])/4 - (7577*s[39])/24 + (8885*s[40])/24 - (1179*s[41])/4 + 
       (3623*s[42])/8 + (95995*s[43])/264 - (187361*s[44])/528 + 
       (73201*s[45])/132 - (961637*s[46])/264 + (70781*s[47])/1584 + 
       (277955*s[48])/1584 - (1290877*s[49])/792 + (96299*s[50])/33 + 
       (129851*s[51])/396 + (354667*s[52])/1584 - (837253*s[53])/396 - 
       (18809*s[54])/264 - (21705385*s[55])/1584 - (442931*s[56])/132 + 
       (110989*s[57])/396 - (3882077*s[58])/792 + (56891*s[59])/11 + 
       (74110415*s[60])/2376 - (9132653*s[61])/5346 + s[62]/6 + s[65]/6 + 
       (2*s[66])/3 - (2*s[67])/3 - (5*s[69])/6 - (7*s[70])/6 - s[71]/2 - 
       (4*s[73])/3 - s[74]/2 + s[75]/2 + s[76] + 2*s[77] - (10*s[78])/3 + 
       30*s[79] - (14*s[80])/3 + (267*s[82])/2 - s[83]/2 + 27*s[84] + 
       36*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((-43*s[2])/12 + (171*s[3])/8 + (13445*s[4])/48 + 
       (109057*s[5])/528 + (144061*s[6])/264 + (48446063*s[7])/9504 - 
       (356363*s[8])/891 - (5594167*s[9])/1296 - (1920059*s[10])/1296 - 
       (52784333*s[11])/9504 - (28472507*s[12])/4752 - 
       (11328641*s[13])/3168 - (7501451*s[14])/9504 - (219897*s[15])/32 - 
       (3442247*s[16])/396 - (65212171*s[17])/9504 - (3526691*s[18])/3888 - 
       (3278953*s[19])/3888 - (110255491*s[20])/10692 - 
       (312865901*s[21])/85536 + (229341133*s[22])/85536 + 
       (8077715*s[23])/1584 + (243847745*s[24])/42768 - 
       (5420205191*s[25])/769824 + (2972525069*s[26])/769824 + 2*s[30] + 
       s[31]/3 - s[32]/3 - (5*s[33])/6 - s[34]/6 - (4*s[35])/3 - 
       (239*s[36])/18 + (29*s[37])/6 + 146*s[38] - (7049*s[39])/12 + 
       (23779*s[40])/36 - (2083*s[41])/4 + (60829*s[42])/72 + 
       (233339*s[43])/396 - (936389*s[44])/1584 + (65125*s[45])/88 - 
       (4297801*s[46])/792 + (321731*s[47])/2376 + (288889*s[48])/1188 - 
       (6311831*s[49])/2376 + (1697435*s[50])/396 + (359791*s[51])/594 + 
       (2139509*s[52])/4752 - (1754861*s[53])/594 - (50497*s[54])/792 - 
       (7487791*s[55])/396 - (11371667*s[56])/2376 + (20118833*s[57])/7128 - 
       (168214753*s[58])/21384 + (85647047*s[59])/10692 + 
       (325746661*s[60])/7128 - (467639389*s[61])/192456 + s[65]/6 + 
       (2*s[66])/3 + s[67]/3 + s[68]/2 + (2*s[69])/3 - (2*s[70])/3 - 
       (7*s[71])/6 + (5*s[72])/3 - 4*s[73] - (5*s[74])/2 + (5*s[75])/2 - 
       s[76] + s[77]/6 + 2*s[78] + (164*s[79])/3 - (35*s[80])/6 + 
       (333*s[82])/2 - s[83]/2 + 27*s[84] + 36*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Omega2[u, v, w]*
      ((85*s[2])/12 + (565*s[3])/24 + (22249*s[4])/48 + (46615*s[5])/132 + 
       (448243*s[6])/528 + (74745515*s[7])/9504 - (1000201*s[8])/1584 - 
       (59941*s[9])/9 - (148481*s[10])/72 - (27441275*s[11])/3168 - 
       (837033*s[12])/88 - (54241831*s[13])/9504 - (3060503*s[14])/3168 - 
       (8939909*s[15])/864 - (31386475*s[16])/2376 - (95676023*s[17])/9504 - 
       (482345*s[18])/324 - (1453027*s[19])/1296 - (223365955*s[20])/14256 - 
       (162338185*s[21])/28512 + (39405551*s[22])/9504 + 
       (21768809*s[23])/2376 + (2524574*s[24])/297 - (1414148531*s[25])/
        128304 + (778159175*s[26])/128304 + (5*s[30])/3 + (13*s[31])/3 - 
       (7*s[32])/6 + (65*s[33])/24 - (23*s[34])/3 - (31*s[35])/6 - 
       (421*s[36])/18 + (93*s[37])/4 + (1607*s[38])/6 - (3241*s[39])/3 + 
       (21841*s[40])/18 - (3741*s[41])/4 + (13885*s[42])/9 + 
       (89845*s[43])/99 - (1593469*s[44])/1584 + (282547*s[45])/264 - 
       (6607739*s[46])/792 + (1784075*s[47])/4752 + (467507*s[48])/4752 - 
       (20075681*s[49])/4752 + (1264361*s[50])/198 + (5097835*s[51])/4752 + 
       (4156861*s[52])/4752 - (2596093*s[53])/594 + (25303*s[54])/198 - 
       (44047061*s[55])/1584 - (35290007*s[56])/4752 + 
       (59808655*s[57])/7128 - (569311387*s[58])/42768 + 
       (570092569*s[59])/42768 + (1938827669*s[60])/28512 - 
       (1401083809*s[61])/384912 - s[65]/3 - (4*s[66])/3 + (8*s[67])/3 + 
       (5*s[68])/3 + (11*s[69])/3 - s[70]/3 + s[71]/3 + (13*s[72])/3 - 
       (5*s[73])/3 - (77*s[74])/12 + (77*s[75])/12 - 3*s[76] - (7*s[77])/6 + 
       (17*s[78])/3 + 100*s[79] - (157*s[80])/6 + 164*s[82] + s[83] + 
       42*s[84] + 36*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      Omega2[v, w, u]*((173*s[2])/6 + (65*s[3])/4 + (2129*s[4])/2 + 
       (195839*s[5])/264 + (499387*s[6])/264 + (80151391*s[7])/4752 - 
       (9731935*s[8])/7128 - (4617799*s[9])/324 - (2781571*s[10])/648 - 
       (88743055*s[11])/4752 - (12206935*s[12])/594 - (19737167*s[13])/1584 - 
       (8734057*s[14])/4752 - (1060225*s[15])/48 - (622275*s[16])/22 - 
       (101674445*s[17])/4752 - (3027635*s[18])/972 - (4700489*s[19])/1944 - 
       (708627575*s[20])/21384 - (515901037*s[21])/42768 + 
       (380552027*s[22])/42768 + (16186109*s[23])/792 + 
       (388266655*s[24])/21384 - (4590571793*s[25])/192456 + 
       (2508408977*s[26])/192456 - s[30]/6 + (43*s[31])/3 - (16*s[32])/3 + 
       (283*s[33])/24 - (149*s[34])/6 - (19*s[35])/3 - (521*s[36])/9 + 
       (373*s[37])/9 + (1991*s[38])/3 - (7856*s[39])/3 + (26099*s[40])/9 - 
       (6838*s[41])/3 + (135931*s[42])/36 + (223150*s[43])/99 - 
       (955831*s[44])/396 + (228739*s[45])/99 - (1899116*s[46])/99 + 
       (1060691*s[47])/1188 + (309611*s[48])/1188 - (6142699*s[49])/594 + 
       (2910473*s[50])/198 + (1521959*s[51])/594 + (2469271*s[52])/1188 - 
       (2984194*s[53])/297 + (46889*s[54])/198 - (25023547*s[55])/396 - 
       (366067*s[56])/22 + (5982629*s[57])/297 - (54450637*s[58])/1782 + 
       (55147483*s[59])/1782 + (557293807*s[60])/3564 - 
       (43044401*s[61])/5346 - (4*s[65])/3 - (16*s[66])/3 + (32*s[67])/3 + 
       (14*s[68])/3 + (50*s[69])/3 + (2*s[70])/3 - (2*s[71])/3 + 
       (38*s[72])/3 - 18*s[73] - (29*s[74])/2 + (29*s[75])/2 - (40*s[76])/3 - 
       (25*s[77])/3 + (68*s[78])/3 + (628*s[79])/3 - (358*s[80])/9 + 
       44*s[82] + 4*s[83] + 96*s[84] + 36*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((-67*s[2])/12 - (73*s[3])/24 + (3569*s[4])/48 + (25*s[5])/6 + 
       (1415*s[6])/48 + (260189*s[7])/288 - (12521*s[8])/1296 - 
       (250097*s[9])/324 - (249731*s[10])/648 - (974639*s[11])/864 - 
       (558953*s[12])/432 - (697991*s[13])/864 + (158923*s[14])/864 - 
       (957143*s[15])/864 - (356501*s[16])/216 - (984425*s[17])/864 - 
       (30455*s[18])/1944 - (1816151*s[19])/3888 - (6540247*s[20])/3888 - 
       (4646723*s[21])/7776 + (3899107*s[22])/7776 + (228641*s[23])/432 + 
       (5502041*s[24])/3888 - (51303919*s[25])/34992 + 
       (24764575*s[26])/34992 - (35*s[30])/6 - (20*s[31])/3 + (13*s[32])/3 - 
       (43*s[33])/4 + (77*s[34])/6 - (101*s[35])/6 - (511*s[36])/36 - 
       (115*s[37])/9 + (1217*s[38])/12 - (5269*s[39])/16 + 
       (54553*s[40])/144 - (5091*s[41])/16 + (57959*s[42])/144 + 
       (566411*s[43])/1584 - (1197283*s[44])/3168 + (97349*s[45])/396 - 
       (3708169*s[46])/1584 - (58159*s[47])/9504 + (3307775*s[48])/9504 - 
       (18548447*s[49])/9504 + (394435*s[50])/198 + (2525911*s[51])/9504 + 
       (1863397*s[52])/9504 - (1358189*s[53])/1188 - (319015*s[54])/396 - 
       (21771757*s[55])/3168 - (412143*s[56])/352 + (2131291*s[57])/1188 - 
       (95653517*s[58])/28512 + (97635575*s[59])/28512 + 
       (1256317061*s[60])/57024 - (7301839*s[61])/9504 - (5*s[64])/6 - 
       s[65] - (5*s[66])/3 + (29*s[67])/3 + 7*s[68] + (32*s[69])/3 + 
       (35*s[70])/3 + (7*s[71])/3 - (11*s[72])/3 - (41*s[73])/6 - 
       (23*s[74])/12 + (7*s[75])/4 + (31*s[76])/3 - (73*s[77])/6 - 
       (13*s[78])/6 + (10*s[79])/3 - (373*s[80])/18 + 134*s[82] + s[83] - 
       8*s[84] + 40*s[85]) + HPL[{0, 0, 1}, 1 - v]*Omega2[w, u, v]*
      (-s[2]/2 + (131*s[3])/4 + (1603*s[4])/8 - (592*s[5])/11 + 
       (13345*s[6])/88 + (2210339*s[7])/1584 - (513817*s[8])/2376 - 
       (57413*s[9])/54 - (11239*s[10])/54 - (2656363*s[11])/1584 - 
       (213398*s[12])/99 - (2168873*s[13])/1584 + (630137*s[14])/1584 - 
       (193393*s[15])/144 - (1651495*s[16])/792 - (473347*s[17])/528 - 
       (65897*s[18])/324 - (143771*s[19])/648 - (15644765*s[20])/7128 - 
       (6320113*s[21])/14256 + (10228913*s[22])/14256 + (2141729*s[23])/792 + 
       (10219015*s[24])/7128 - (19961962*s[25])/8019 + 
       (15666143*s[26])/16038 - s[29] + 2*s[30] - s[31] + 3*s[32] + 2*s[33] + 
       4*s[34] + 7*s[35] + 15*s[36] + (17*s[37])/6 + 63*s[38] - 
       (403*s[39])/2 + (527*s[40])/2 - (401*s[41])/2 + (527*s[42])/2 + 
       (5693*s[43])/22 - (10445*s[44])/44 + (53131*s[45])/132 - 
       (337471*s[46])/132 - (769*s[47])/132 + (37313*s[48])/132 - 
       (137789*s[49])/132 + (41493*s[50])/22 + (9003*s[51])/44 + 
       (24427*s[52])/132 - (494387*s[53])/396 + (5699*s[54])/33 - 
       (93396*s[55])/11 - (1032811*s[56])/396 + (811535*s[57])/594 - 
       (13695707*s[58])/3564 + (6363865*s[59])/1782 + (8567639*s[60])/396 - 
       (81493813*s[61])/64152 + s[65] + 3*s[66] - 6*s[67] - s[68] - 
       11*s[69] + 2*s[70] - s[71] - 2*s[72] + 6*s[73] + (5*s[74])/2 - 
       (5*s[75])/2 - 8*s[76] + 5*s[77] - 8*s[78] + 56*s[79] - (67*s[80])/3 + 
       116*s[82] - 3*s[83] + 30*s[84] + 40*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((79*s[2])/12 + (1157*s[3])/72 + (12673*s[4])/36 + (226865*s[5])/792 + 
       (1103545*s[6])/1584 + (60705793*s[7])/9504 - (2355829*s[8])/4752 - 
       (145652*s[9])/27 - (47803*s[10])/27 - (1838431*s[11])/264 - 
       (23877977*s[12])/3168 - (42511751*s[13])/9504 - (3223183*s[14])/3168 - 
       (7457281*s[15])/864 - (25793831*s[16])/2376 - (20343493*s[17])/2376 - 
       (1513445*s[18])/1296 - (1275091*s[19])/1296 - (46176121*s[20])/3564 - 
       (44894375*s[21])/9504 + (95527667*s[22])/28512 + 
       (64714327*s[23])/9504 + (201648287*s[24])/28512 - 
       (125045959*s[25])/14256 + (70006021*s[26])/14256 + s[30]/12 + 
       (11*s[31])/6 - (2*s[32])/3 + s[33]/16 - (5*s[34])/4 - (7*s[35])/6 - 
       (51*s[36])/4 + (673*s[37])/36 + (1840*s[38])/9 - (57199*s[39])/72 + 
       (64793*s[40])/72 - (25535*s[41])/36 + (81547*s[42])/72 + 
       (593147*s[43])/792 - (34131*s[44])/44 + (492047*s[45])/528 - 
       (3649955*s[46])/528 + (1037233*s[47])/4752 + (974467*s[48])/4752 - 
       (8075951*s[49])/2376 + (2120453*s[50])/396 + (929059*s[51])/1188 + 
       (184517*s[52])/297 - (17773733*s[53])/4752 + (70007*s[54])/792 - 
       (114214039*s[55])/4752 - (2480405*s[56])/396 + (3624047*s[57])/792 - 
       (147927611*s[58])/14256 + (18868765*s[59])/1782 + 
       (1637720287*s[60])/28512 - (788734493*s[61])/256608 + s[70]/2 - 
       s[71]/2 + 3*s[72] - (41*s[74])/12 + (41*s[75])/12 - (10*s[76])/3 - 
       (4*s[77])/3 + (5*s[78])/2 + 77*s[79] - (56*s[80])/3 + (485*s[82])/3 + 
       36*s[84] + 40*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      Omega2[v, w, u]*((19*s[2])/6 + (619*s[3])/12 + (9889*s[4])/24 + 
       (45281*s[5])/132 + (213811*s[6])/264 + (34980911*s[7])/4752 - 
       (1364837*s[8])/2376 - (668927*s[9])/108 - (110147*s[10])/54 - 
       (12736849*s[11])/1584 - (6921611*s[12])/792 - (24579055*s[13])/4752 - 
       (1829119*s[14])/1584 - (4269665*s[15])/432 - (7426787*s[16])/594 - 
       (46582781*s[17])/4752 - (114992*s[18])/81 - (709331*s[19])/648 - 
       (106586171*s[20])/7128 - (8656825*s[21])/1584 + 
       (54798001*s[22])/14256 + (19154611*s[23])/2376 + 
       (57928595*s[24])/7128 - (108345421*s[25])/10692 + 
       (15180793*s[26])/2673 + s[30]/3 - (4*s[31])/3 - (5*s[32])/6 - 
       (19*s[33])/3 + (17*s[34])/3 - (19*s[35])/3 - (88*s[36])/9 + 
       (121*s[37])/6 + (680*s[38])/3 - (10481*s[39])/12 + (35515*s[40])/36 - 
       (3007*s[41])/4 + (44345*s[42])/36 + (307757*s[43])/396 - 
       (321755*s[44])/396 + (44717*s[45])/44 - (1460389*s[46])/198 + 
       (170549*s[47])/594 + (176131*s[48])/1188 - (2083613*s[49])/594 + 
       (1112671*s[50])/198 + (1029893*s[51])/1188 + (428221*s[52])/594 - 
       (4639315*s[53])/1188 + (40109*s[54])/198 - (9945307*s[55])/396 - 
       (2016862*s[56])/297 + (5508670*s[57])/891 - (123008753*s[58])/10692 + 
       (122950361*s[59])/10692 + (430813465*s[60])/7128 - 
       (323081903*s[61])/96228 + s[65]/3 + (4*s[66])/3 - (8*s[67])/3 + 
       s[68]/3 - (20*s[69])/3 + (4*s[70])/3 - s[71]/3 + (2*s[72])/3 + 
       (14*s[73])/3 - (17*s[74])/6 + (17*s[75])/6 - 2*s[76] + (14*s[77])/3 - 
       (8*s[78])/3 + 80*s[79] - 25*s[80] + 174*s[82] - s[83] + 42*s[84] + 
       40*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Omega2[v, w, u]*
      ((7*s[2])/6 + (105*s[3])/2 + 468*s[4] + (51005*s[5])/132 + 
       (30934*s[6])/33 + (19545709*s[7])/2376 - (1180457*s[8])/1782 - 
       (560117*s[9])/81 - (736399*s[10])/324 - (21221983*s[11])/2376 - 
       (22885427*s[12])/2376 - (752045*s[13])/132 - (792955*s[14])/594 - 
       (805835*s[15])/72 - (11112289*s[16])/792 - (26532743*s[17])/2376 - 
       (381439*s[18])/243 - (1180133*s[19])/972 - (44605961*s[20])/2673 - 
       (16349678*s[21])/2673 + (11442025*s[22])/2673 + (600989*s[23])/66 + 
       (96501817*s[24])/10692 - (270842105*s[25])/24057 + 
       (152402924*s[26])/24057 + (8*s[30])/3 - (4*s[31])/3 + (10*s[32])/3 - 
       (11*s[33])/3 + (13*s[34])/3 - (23*s[35])/3 - (191*s[36])/18 + 
       (1211*s[37])/36 + (688*s[38])/3 - (23501*s[39])/24 + 
       (79019*s[40])/72 - (20485*s[41])/24 + (102835*s[42])/72 + 
       (693697*s[43])/792 - (1437077*s[44])/1584 + (882073*s[45])/792 - 
       (3309091*s[46])/396 + (1620979*s[47])/4752 + (520165*s[48])/4752 - 
       (18624025*s[49])/4752 + (1264771*s[50])/198 + (4719461*s[51])/4752 + 
       (3746315*s[52])/4752 - (1344272*s[53])/297 + (59251*s[54])/198 - 
       (45686063*s[55])/1584 - (12308245*s[56])/1584 + (7833839*s[57])/1188 - 
       (20370125*s[58])/1584 + (61775287*s[59])/4752 + 
       (1941085117*s[60])/28512 - (122187101*s[61])/32076 + s[65]/3 + 
       (4*s[66])/3 - (8*s[67])/3 + (7*s[68])/3 - (20*s[69])/3 + (4*s[70])/3 - 
       s[71]/3 + (10*s[72])/3 + 2*s[73] - (7*s[74])/2 + (7*s[75])/2 - 
       (14*s[76])/3 + (16*s[77])/3 + (16*s[78])/3 + (272*s[79])/3 - 
       (469*s[80])/18 + 198*s[82] - s[83] + 42*s[84] + 40*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Omega2[u, v, w]*
      ((115*s[2])/6 + 49*s[3] + (2145*s[4])/2 + (93887*s[5])/132 + 
       (244093*s[6])/132 + (19543823*s[7])/1188 - (4858969*s[8])/3564 - 
       (1121540*s[9])/81 - (1353841*s[10])/324 - (21594077*s[11])/1188 - 
       (11875247*s[12])/594 - (4789607*s[13])/396 - (516572*s[14])/297 - 
       (195077*s[15])/9 - (2734780*s[16])/99 - (12449969*s[17])/594 - 
       (2949751*s[18])/972 - (579506*s[19])/243 - (345525857*s[20])/10692 - 
       (62697649*s[21])/5346 + (23098822*s[22])/2673 + (1995955*s[23])/99 + 
       (189717325*s[24])/10692 - (4478641537*s[25])/192456 + 
       (2445339829*s[26])/192456 - s[30]/3 + (26*s[31])/3 - (2*s[32])/3 + 
       (79*s[33])/12 - (44*s[34])/3 - (29*s[35])/3 - (893*s[36])/18 + 
       (1811*s[37])/36 + (1903*s[38])/3 - (60011*s[39])/24 + 
       (199277*s[40])/72 - (52027*s[41])/24 + (259867*s[42])/72 + 
       (1719319*s[43])/792 - (3619613*s[44])/1584 + (1810093*s[45])/792 - 
       (3687293*s[46])/198 + (4136335*s[47])/4752 + (976717*s[48])/4752 - 
       (46719721*s[49])/4752 + (1407749*s[50])/99 + (11690105*s[51])/4752 + 
       (9531623*s[52])/4752 - (2911283*s[53])/297 + (68815*s[54])/198 - 
       (97876679*s[55])/1584 - (2875869*s[56])/176 + (5634949*s[57])/297 - 
       (421557541*s[58])/14256 + (427310137*s[59])/14256 + 
       (4323363877*s[60])/28512 - (168567667*s[61])/21384 - (2*s[65])/3 - 
       (8*s[66])/3 + (16*s[67])/3 + (13*s[68])/3 + (16*s[69])/3 + 
       (4*s[70])/3 - (4*s[71])/3 + (34*s[72])/3 - 10*s[73] - (25*s[74])/2 + 
       (25*s[75])/2 - (38*s[76])/3 - (8*s[77])/3 + (58*s[78])/3 + 
       (608*s[79])/3 - (625*s[80])/18 + 54*s[82] + 2*s[83] + 96*s[84] + 
       40*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Omega2[u, v, w]*
      ((127*s[2])/6 + (463*s[3])/12 + (24307*s[4])/24 + (9121*s[5])/12 + 
       (44477*s[6])/24 + (7099963*s[7])/432 - (32309*s[8])/24 - 
       (124879*s[9])/9 - (50699*s[10])/12 - (2600467*s[11])/144 - 
       (59267*s[12])/3 - (5119811*s[13])/432 - (295159*s[14])/144 - 
       (9418235*s[15])/432 - (2986343*s[16])/108 - (9180403*s[17])/432 - 
       (254155*s[18])/81 - (1464475*s[19])/648 - (21130319*s[20])/648 - 
       (15478409*s[21])/1296 + (138077*s[22])/16 + (2154019*s[23])/108 + 
       (952841*s[24])/54 - (66933509*s[25])/2916 + (18504943*s[26])/1458 - 
       (2*s[30])/3 + (26*s[31])/3 - (11*s[32])/6 + (47*s[33])/12 - 
       (40*s[34])/3 - (25*s[35])/3 - (430*s[36])/9 + (190*s[37])/3 + 
       (1823*s[38])/3 - (29219*s[39])/12 + (96985*s[40])/36 - 
       (8473*s[41])/4 + (63811*s[42])/18 + (834167*s[43])/396 - 
       (877901*s[44])/396 + (150853*s[45])/66 - (7315835*s[46])/396 + 
       (1034521*s[47])/1188 + (53593*s[48])/297 - (5639585*s[49])/594 + 
       (1397552*s[50])/99 + (2925455*s[51])/1188 + (1171459*s[52])/594 - 
       (5823611*s[53])/594 + (51463*s[54])/99 - (24429259*s[55])/396 - 
       (4880146*s[56])/297 + (65156323*s[57])/3564 - (312308825*s[58])/
        10692 + (78997814*s[59])/2673 + (133596884*s[60])/891 - 
       (1532687203*s[61])/192456 - (2*s[65])/3 - (8*s[66])/3 + (16*s[67])/3 + 
       (19*s[68])/3 + (16*s[69])/3 + (4*s[70])/3 - (4*s[71])/3 + 
       (26*s[72])/3 - (22*s[73])/3 - (71*s[74])/6 + (71*s[75])/6 - 10*s[76] + 
       (2*s[77])/3 + (34*s[78])/3 + 192*s[79] - (110*s[80])/3 + 78*s[82] + 
       2*s[83] + 96*s[84] + 40*s[85]) + HPL[{0, 1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - u]*((-1003*s[2])/24 + (913*s[3])/72 - 
       (77453*s[4])/48 - (832085*s[5])/792 - (3992387*s[6])/1584 - 
       (231410899*s[7])/9504 + (91807369*s[8])/42768 + (80059733*s[9])/3888 + 
       (11535179*s[10])/1944 + (766862413*s[11])/28512 + 
       (26611105*s[12])/891 + (513233995*s[13])/28512 + 
       (57394081*s[14])/28512 + (82208951*s[15])/2592 + 
       (576027995*s[16])/14256 + (850717147*s[17])/28512 + 
       (54577747*s[18])/11664 + (36510779*s[19])/11664 + 
       (6098188949*s[20])/128304 + (4389583639*s[21])/256608 - 
       (3297653747*s[22])/256608 - (226305065*s[23])/7128 - 
       (3302580529*s[24])/128304 + (39980158205*s[25])/1154736 - 
       (21594533927*s[26])/1154736 + (52*s[30])/9 - (365*s[31])/18 + 
       s[32]/24 - (2305*s[33])/144 + (209*s[34])/6 - (385*s[35])/36 + 
       (1721*s[36])/27 - (3619*s[37])/24 - (9301*s[38])/9 + 
       (289867*s[39])/72 - (952543*s[40])/216 + (27339*s[41])/8 - 
       (630049*s[42])/108 - (8164451*s[43])/2376 + (8479745*s[44])/2376 - 
       (619783*s[45])/176 + (138507601*s[46])/4752 - (10306591*s[47])/7128 - 
       (194369*s[48])/3564 + (13663619*s[49])/891 - (52701755*s[50])/2376 - 
       (28040477*s[51])/7128 - (11622439*s[52])/3564 + 
       (219758447*s[53])/14256 - (1176797*s[54])/1188 + 
       (153348823*s[55])/1584 + (181969807*s[56])/7128 - 
       (1307542763*s[57])/42768 + (744664475*s[58])/16038 - 
       (6054650197*s[59])/128304 - (20178008717*s[60])/85536 + 
       (27914920349*s[61])/2309472 - s[64]/4 - (35*s[65])/36 - (35*s[66])/9 + 
       (107*s[67])/9 + (133*s[68])/18 + (743*s[69])/36 + (176*s[70])/9 + 
       (31*s[71])/18 - (239*s[72])/18 - (73*s[73])/9 + (157*s[74])/8 - 
       (145*s[75])/8 + (737*s[76])/18 - (232*s[77])/9 - (299*s[78])/18 - 
       (1012*s[79])/3 + (1763*s[80])/36 - s[81]/12 + (665*s[82])/2 + 
       (17*s[83])/12 - (490*s[84])/3 + (122*s[85])/3) + 
     HPL[{0, 1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w]*((-149*s[2])/16 + 
       (14851*s[3])/288 - (61109*s[4])/192 - (756737*s[5])/3168 - 
       (2720111*s[6])/6336 - (194394061*s[7])/38016 + 
       (79559077*s[8])/171072 + (16849229*s[9])/3888 + (2704097*s[10])/1944 + 
       (631680637*s[11])/114048 + (42290525*s[12])/7128 + 
       (400379383*s[13])/114048 + (48138433*s[14])/114048 + 
       (74495369*s[15])/10368 + (250342483*s[16])/28512 + 
       (808103971*s[17])/114048 + (8262859*s[18])/11664 + 
       (47054237*s[19])/46656 + (5091905045*s[20])/513216 + 
       (3574141651*s[21])/1026432 - (2797271651*s[22])/1026432 - 
       (163814477*s[23])/28512 - (89827313*s[24])/16038 + 
       (33152516171*s[25])/4618944 - (17504670455*s[26])/4618944 + 
       (5*s[28])/2 + 2*s[29] - (103*s[30])/72 - (179*s[31])/18 + 
       (53*s[32])/3 - (4357*s[33])/144 + (545*s[34])/24 + (721*s[35])/72 + 
       (9643*s[36])/216 - (10795*s[37])/144 - (21149*s[38])/72 + 
       (206321*s[39])/144 - (660641*s[40])/432 + (9347*s[41])/8 - 
       (930919*s[42])/432 - (4553965*s[43])/4752 + (23491123*s[44])/19008 - 
       (3197009*s[45])/3168 + (88495199*s[46])/9504 - 
       (41778113*s[47])/57024 + (29883499*s[48])/57024 + 
       (287802227*s[49])/57024 - (17523449*s[50])/2376 - 
       (82547389*s[51])/57024 - (62700439*s[52])/57024 + 
       (72315065*s[53])/14256 + (324527*s[54])/2376 + (21904101*s[55])/704 + 
       (430571261*s[56])/57024 - (976235083*s[57])/85536 + 
       (7760747569*s[58])/513216 - (7955310235*s[59])/513216 - 
       (25602777383*s[60])/342144 + (17101237711*s[61])/4618944 - 
       (9*s[63])/2 + s[64]/4 + (71*s[65])/18 + (88*s[66])/9 - 
       (619*s[67])/36 + (20*s[68])/9 - (859*s[69])/36 + (493*s[70])/18 - 
       (64*s[71])/9 - (577*s[72])/36 + (1337*s[73])/36 + (775*s[74])/48 - 
       (697*s[75])/48 + (299*s[76])/18 - (1577*s[77])/72 - (1267*s[78])/36 - 
       (454*s[79])/3 + (1493*s[80])/24 - (475*s[82])/2 - (97*s[83])/12 - 
       (91*s[84])/3 + (122*s[85])/3) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^3*
      ((131*s[2])/48 + (4601*s[3])/96 + (64159*s[4])/192 + (94705*s[5])/352 + 
       (1420099*s[6])/2112 + (226486475*s[7])/38016 - (26507813*s[8])/57024 - 
       (3242927*s[9])/648 - (543941*s[10])/324 - (246267425*s[11])/38016 - 
       (33242981*s[12])/4752 - (17474147*s[13])/4224 - 
       (37887389*s[14])/38016 - (9280367*s[15])/1152 - 
       (32227427*s[16])/3168 - (307340695*s[17])/38016 - 
       (1115681*s[18])/972 - (13731685*s[19])/15552 - 
       (2077594561*s[20])/171072 - (1514126423*s[21])/342144 + 
       (1063509127*s[22])/342144 + (6808895*s[23])/1056 + 
       (140246917*s[24])/21384 - (12536862973*s[25])/1539648 + 
       (7035100549*s[26])/1539648 + (35*s[30])/24 + s[31]/3 - (79*s[32])/24 - 
       (10*s[33])/3 + (25*s[34])/8 - (67*s[35])/24 - (697*s[36])/72 + 
       (2339*s[37])/144 + (1891*s[38])/12 - (32435*s[39])/48 + 
       (111623*s[40])/144 - (28787*s[41])/48 + (140479*s[42])/144 + 
       (947107*s[43])/1584 - (4090177*s[44])/6336 + (2592811*s[45])/3168 - 
       (6289445*s[46])/1056 + (4310279*s[47])/19008 + (2170427*s[48])/19008 - 
       (51867185*s[49])/19008 + (7256329*s[50])/1584 + 
       (13085107*s[51])/19008 + (10501093*s[52])/19008 - 
       (5062943*s[53])/1584 + (86039*s[54])/528 - (43344547*s[55])/2112 - 
       (105906535*s[56])/19008 + (132778655*s[57])/28512 - 
       (1570598783*s[58])/171072 + (1567867265*s[59])/171072 + 
       (5559212585*s[60])/114048 - (4246460861*s[61])/1539648 + s[63]/6 + 
       s[64]/24 + s[65]/24 + s[66]/2 - (13*s[67])/12 + (11*s[68])/6 - 
       (43*s[69])/12 + (19*s[70])/12 + s[71]/8 + (19*s[72])/12 - 
       (23*s[73])/12 - (133*s[74])/48 + (137*s[75])/48 - (11*s[76])/3 - 
       s[77]/24 - (5*s[78])/12 + (235*s[79])/3 - (1927*s[80])/72 + 
       (393*s[82])/2 - (3*s[83])/4 + (71*s[84])/2 + 41*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^3*((21*s[2])/2 + (181*s[3])/4 + 
       (7169*s[4])/12 + (36409*s[5])/88 + (35713*s[6])/33 + 
       (45012511*s[7])/4752 - (11223791*s[8])/14256 - (5155985*s[9])/648 - 
       (3202709*s[10])/1296 - (98904713*s[11])/9504 - (54070385*s[12])/4752 - 
       (7220393*s[13])/1056 - (11147519*s[14])/9504 - (604487*s[15])/48 - 
       (50676827*s[16])/3168 - (117199375*s[17])/9504 - (863197*s[18])/486 - 
       (5303461*s[19])/3888 - (401794505*s[20])/21384 - 
       (584458817*s[21])/85536 + (424026319*s[22])/85536 + 
       (11961767*s[23])/1056 + (875367919*s[24])/85536 - 
       (2551949183*s[25])/192456 + (1405178309*s[26])/192456 + 
       (17*s[30])/12 + (23*s[31])/6 - (4*s[32])/3 + (127*s[33])/48 - 
       (9*s[34])/2 - (67*s[35])/12 - (1765*s[36])/72 + (499*s[37])/18 + 
       (1018*s[38])/3 - (135749*s[39])/96 + (453187*s[40])/288 - 
       (39499*s[41])/32 + (592757*s[42])/288 + (3856745*s[43])/3168 - 
       (8236483*s[44])/6336 + (1082215*s[45])/792 - (3841159*s[46])/352 + 
       (9654869*s[47])/19008 + (2035367*s[48])/19008 - 
       (105422219*s[49])/19008 + (13232617*s[50])/1584 + 
       (26716651*s[51])/19008 + (21465241*s[52])/19008 - (383099*s[53])/66 + 
       (133417*s[54])/528 - (232159309*s[55])/6336 - (185732641*s[56])/
        19008 + (37558849*s[57])/3564 - (2944460039*s[58])/171072 + 
       (2976944837*s[59])/171072 + (10109398433*s[60])/114048 - 
       (7318388513*s[61])/1539648 + s[64]/24 - (11*s[65])/24 - (3*s[66])/2 + 
       (17*s[67])/6 + (23*s[68])/6 + (29*s[69])/12 + (19*s[70])/12 - 
       s[71]/8 + (15*s[72])/2 - (59*s[73])/12 - (29*s[74])/4 + (59*s[75])/8 - 
       (23*s[76])/3 - 4*s[77] + (131*s[78])/12 + (349*s[79])/3 - 
       (935*s[80])/36 + (273*s[82])/2 + (3*s[83])/4 + (125*s[84])/2 + 
       41*s[85]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((7*s[2])/72 + (7483*s[3])/144 + (202693*s[4])/288 + 
       (1148861*s[5])/3168 + (548215*s[6])/528 + (568705289*s[7])/57024 - 
       (13065619*s[8])/14256 - (21595483*s[9])/2592 - (6366299*s[10])/2592 - 
       (210036985*s[11])/19008 - (3661984*s[12])/297 - 
       (425381809*s[13])/57024 - (12546529*s[14])/19008 - 
       (67209557*s[15])/5184 - (236418709*s[16])/14256 - 
       (698842037*s[17])/57024 - (3342805*s[18])/1944 - 
       (6118513*s[19])/3888 - (1645355249*s[20])/85536 - 
       (378309209*s[21])/57024 + (893967475*s[22])/171072 + 
       (88931467*s[23])/7128 + (231712445*s[24])/21384 - 
       (822770603*s[25])/57024 + (429770377*s[26])/57024 + (43*s[30])/36 + 
       (19*s[31])/18 - (4*s[32])/9 + (95*s[33])/144 - (16*s[34])/9 + 
       (113*s[35])/36 - (2377*s[36])/108 + (5075*s[37])/144 + 
       (27985*s[38])/72 - (23829*s[39])/16 + (725155*s[40])/432 - 
       (22997*s[41])/18 + (1837273*s[42])/864 + (6276785*s[43])/4752 - 
       (26352377*s[44])/19008 + (1587385*s[45])/1056 - 
       (110446513*s[46])/9504 + (29099491*s[47])/57024 + 
       (10072351*s[48])/57024 - (337977055*s[49])/57024 + 
       (21170257*s[50])/2376 + (86531237*s[51])/57024 + 
       (68227301*s[52])/57024 - (175858481*s[53])/28512 + 
       (680873*s[54])/2376 - (248005529*s[55])/6336 - 
       (584085061*s[56])/57024 + (449933467*s[57])/42768 - 
       (9316457813*s[58])/513216 + (9415257977*s[59])/513216 + 
       (32671100491*s[60])/342144 - (11504402551*s[61])/2309472 + s[62]/4 + 
       (11*s[65])/18 + (22*s[66])/9 - (26*s[67])/9 + (10*s[68])/9 - 
       (62*s[69])/9 - (49*s[70])/18 - (53*s[71])/72 + (55*s[72])/18 + 
       (103*s[73])/18 - (443*s[74])/72 + (443*s[75])/72 - (47*s[76])/6 + 
       (101*s[77])/36 + (29*s[78])/18 + (303*s[79])/2 - (2681*s[80])/72 + 
       120*s[82] - (11*s[83])/6 + 62*s[84] + (124*s[85])/3) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((1039*s[2])/72 + (447*s[3])/16 + (291919*s[4])/288 + 
       (1538501*s[5])/3168 + (1230221*s[6])/792 + (394104697*s[7])/28512 - 
       (106226459*s[8])/85536 - (22387249*s[9])/1944 - (3274807*s[10])/972 - 
       (881740049*s[11])/57024 - (493350377*s[12])/28512 - 
       (201817391*s[13])/19008 - (45867953*s[14])/57024 - 
       (15353297*s[15])/864 - (437529781*s[16])/19008 - 
       (956409661*s[17])/57024 - (54286463*s[18])/23328 - 
       (25766705*s[19])/11664 - (1692483007*s[20])/64152 - 
       (4721563895*s[21])/513216 + (3727351057*s[22])/513216 + 
       (330686923*s[23])/19008 + (7758358381*s[24])/513216 - 
       (23329079363*s[25])/1154736 + (24396030985*s[26])/2309472 + 
       (7*s[30])/18 + (74*s[31])/9 - (23*s[32])/9 + (64*s[33])/9 - 
       (377*s[34])/36 - (107*s[35])/36 - (3367*s[36])/108 + 
       (18263*s[37])/432 + (39727*s[38])/72 - (308257*s[39])/144 + 
       (1029559*s[40])/432 - (15019*s[41])/8 + (2646715*s[42])/864 + 
       (8876213*s[43])/4752 - (18818035*s[44])/9504 + (18994675*s[45])/9504 - 
       (153594983*s[46])/9504 + (20385617*s[47])/28512 + 
       (7919075*s[48])/28512 - (121242961*s[49])/14256 + 
       (3657689*s[50])/297 + (3681631*s[51])/1782 + (48730081*s[52])/28512 - 
       (29917265*s[53])/3564 + (1250417*s[54])/4752 - 
       (506447995*s[55])/9504 - (2827829*s[56])/198 + 
       (120440273*s[57])/7128 - (1106239759*s[58])/42768 + 
       (556506275*s[59])/21384 + (22586744801*s[60])/171072 - 
       (1767340723*s[61])/256608 + (7*s[65])/36 + (7*s[66])/9 + (4*s[67])/9 + 
       (16*s[68])/9 - (8*s[69])/9 - (20*s[70])/9 - (71*s[71])/72 + 
       (107*s[72])/18 - (17*s[73])/6 - (211*s[74])/24 + (211*s[75])/24 - 
       (247*s[76])/18 + (37*s[77])/36 + (73*s[78])/9 + (3409*s[79])/18 - 
       (9193*s[80])/216 + 108*s[82] - (7*s[83])/12 + (169*s[84])/2 + 
       (124*s[85])/3) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((173*s[2])/18 + (839*s[3])/144 + 
       (51707*s[4])/96 + (70157*s[5])/198 + (2977027*s[6])/3168 + 
       (246254839*s[7])/28512 - (5278189*s[8])/7128 - (18908663*s[9])/2592 - 
       (5795965*s[10])/2592 - (30195337*s[11])/3168 - (49976189*s[12])/4752 - 
       (179815541*s[13])/28512 - (345095*s[14])/352 - (29297359*s[15])/2592 - 
       (413518007*s[16])/28512 - (312442627*s[17])/28512 - 
       (4121279*s[18])/2592 - (3202931*s[19])/2592 - (15228266*s[20])/891 - 
       (260836535*s[21])/42768 + (390046675*s[22])/85536 + 
       (73169449*s[23])/7128 + (49878421*s[24])/5346 - 
       (4692151331*s[25])/384912 + (5076528379*s[26])/769824 + (7*s[30])/18 + 
       (13*s[31])/3 - (151*s[32])/72 + (17*s[33])/12 - (47*s[34])/9 - 
       (32*s[35])/9 - (3353*s[36])/216 + (1387*s[37])/36 + (21103*s[38])/72 - 
       (39489*s[39])/32 + (1201967*s[40])/864 - (313103*s[41])/288 + 
       (1550593*s[42])/864 + (9931453*s[43])/9504 - (10924663*s[44])/9504 + 
       (5642777*s[45])/4752 - (90548237*s[46])/9504 + 
       (12356447*s[47])/28512 + (1827091*s[48])/14256 - 
       (137829143*s[49])/28512 + (4353619*s[50])/594 + 
       (17596103*s[51])/14256 + (13969145*s[52])/14256 - 
       (143051737*s[53])/28512 + (423901*s[54])/2376 - 
       (150545113*s[55])/4752 - (8969267*s[56])/1056 + 
       (274529171*s[57])/28512 - (161631967*s[58])/10692 + 
       (647544421*s[59])/42768 + (13280427767*s[60])/171072 - 
       (1060283149*s[61])/256608 - (2*s[70])/9 + s[71]/8 + (14*s[72])/3 - 
       (13*s[74])/2 + (13*s[75])/2 - (50*s[76])/9 - (13*s[77])/9 + 
       (40*s[78])/9 + (271*s[79])/2 - (2257*s[80])/54 + (581*s[82])/3 + 
       (170*s[84])/3 + (128*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1}, 1 - v]*((527*s[2])/36 + (1217*s[3])/144 + 
       (218473*s[4])/288 + (323765*s[5])/792 + (3684385*s[6])/3168 + 
       (311296763*s[7])/28512 - (2607805*s[8])/2673 - (71255023*s[9])/7776 - 
       (21158129*s[10])/7776 - (86156047*s[11])/7128 - 
       (382869281*s[12])/28512 - (230949629*s[13])/28512 - 
       (22457671*s[14])/28512 - (36959461*s[15])/2592 - 
       (520240715*s[16])/28512 - (32240053*s[17])/2376 - 
       (45394583*s[18])/23328 - (37895077*s[19])/23328 - 
       (2712642725*s[20])/128304 - (478612921*s[21])/64152 + 
       (1476178127*s[22])/256608 + (395359765*s[23])/28512 + 
       (3019311407*s[24])/256608 - (4518032639*s[25])/288684 + 
       (19185477637*s[26])/2309472 + (31*s[30])/36 + (37*s[31])/6 - 
       (293*s[32])/72 + (517*s[33])/144 - (29*s[34])/4 - (13*s[35])/9 - 
       (2003*s[36])/72 + (3703*s[37])/108 + (28745*s[38])/72 - 
       (482359*s[39])/288 + (180785*s[40])/96 - (428797*s[41])/288 + 
       (705221*s[42])/288 + (1504435*s[43])/1056 - (4858697*s[44])/3168 + 
       (1854811*s[45])/1188 - (120515801*s[46])/9504 + (1862177*s[47])/3168 + 
       (54127*s[48])/528 - (20622739*s[49])/3168 + (3870299*s[50])/396 + 
       (984625*s[51])/594 + (1064725*s[52])/792 - (192208669*s[53])/28512 + 
       (289121*s[54])/1188 - (201184669*s[55])/4752 - 
       (319762097*s[56])/28512 + (1121915543*s[57])/85536 - 
       (1294254655*s[58])/64152 + (654405947*s[59])/32076 + 
       (5871288211*s[60])/57024 - (786627883*s[61])/144342 - s[68] + s[69] - 
       (13*s[70])/18 - (19*s[71])/24 + (58*s[72])/9 - (37*s[73])/9 - 
       (23*s[74])/3 + (23*s[75])/3 - (151*s[76])/18 - (17*s[77])/6 + 
       (15*s[78])/2 + (3095*s[79])/18 - (1156*s[80])/27 + (326*s[82])/3 + 
       (230*s[84])/3 + (128*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*(-s[2]/6 + (181*s[3])/6 + 
       (649*s[4])/6 + (13007*s[5])/132 + (150895*s[6])/528 + 
       (397159*s[7])/176 - (276757*s[8])/1584 - (265397*s[9])/144 - 
       (54041*s[10])/72 - (2595295*s[11])/1056 - (2745697*s[12])/1056 - 
       (32795*s[13])/22 - (125137*s[14])/264 - (50475*s[15])/16 - 
       (352983*s[16])/88 - (3516719*s[17])/1056 - (182653*s[18])/432 - 
       (188573*s[19])/432 - (11164105*s[20])/2376 - (1013209*s[21])/594 + 
       (5477503*s[22])/4752 + (2120255*s[23])/1056 + (25489547*s[24])/9504 - 
       (259575853*s[25])/85536 + (146366725*s[26])/85536 - (2*s[30])/3 - 
       (8*s[31])/3 + (5*s[32])/2 - (13*s[33])/2 + 8*s[34] - (4*s[35])/3 + 
       (22*s[36])/3 + (5*s[37])/6 + (57*s[38])/2 - (2159*s[39])/12 + 
       (2479*s[40])/12 - (1273*s[41])/8 + (6469*s[42])/24 + 
       (22673*s[43])/132 - (50701*s[44])/264 + (31633*s[45])/132 - 
       (117389*s[46])/66 + (1451*s[47])/44 + (1526*s[48])/11 - 
       (74695*s[49])/88 + (183671*s[50])/132 + (131939*s[51])/792 + 
       (25423*s[52])/264 - (191753*s[53])/198 - (4439*s[54])/66 - 
       (263675*s[55])/44 - (162545*s[56])/99 + (1609229*s[57])/1188 - 
       (19023371*s[58])/7128 + (9346567*s[59])/3564 + (11555801*s[60])/792 - 
       (113786995*s[61])/128304 - (5*s[68])/3 + (5*s[69])/3 + 2*s[70] + 
       s[71] + s[74]/3 - s[75]/3 + (2*s[76])/3 - 3*s[77] - 2*s[78] + 
       8*s[79] - (46*s[80])/3 + 234*s[82] + 44*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      (10*s[2] + (203*s[3])/6 + (3121*s[4])/6 + (16325*s[5])/66 + 
       (425107*s[6])/528 + (16625195*s[7])/2376 - (8917247*s[8])/14256 - 
       (7568371*s[9])/1296 - (543953*s[10])/324 - (74442635*s[11])/9504 - 
       (83486365*s[12])/9504 - (178528*s[13])/33 - (455899*s[14])/1188 - 
       (213857*s[15])/24 - (18365719*s[16])/1584 - (80042719*s[17])/9504 - 
       (4890407*s[18])/3888 - (3946825*s[19])/3888 - (142206103*s[20])/
        10692 - (100384175*s[21])/21384 + (156971975*s[22])/42768 + 
       (9732505*s[23])/1056 + (641793013*s[24])/85536 - 
       (7857807491*s[25])/769824 + (4130190155*s[26])/769824 - s[30]/3 + 
       (10*s[31])/3 + s[32]/3 + (5*s[33])/4 - (7*s[34])/3 + (4*s[35])/3 - 
       (175*s[36])/9 + (301*s[37])/18 + 304*s[38] - 1169*s[39] + 
       (11812*s[40])/9 - (8201*s[41])/8 + (120583*s[42])/72 + 
       (102863*s[43])/99 - (1718975*s[44])/1584 + (422113*s[45])/396 - 
       (380645*s[46])/44 + (1716439*s[47])/4752 + (932227*s[48])/4752 - 
       (22151203*s[49])/4752 + (656033*s[50])/99 + (5381273*s[51])/4752 + 
       (4450307*s[52])/4752 - (3572149*s[53])/792 + (1893*s[54])/22 - 
       (44771923*s[55])/1584 - (35593727*s[56])/4752 + 
       (33262253*s[57])/3564 - (591701857*s[58])/42768 + 
       (596775031*s[59])/42768 + (2014525639*s[60])/28512 - 
       (1406859697*s[61])/384912 - (2*s[68])/3 + (2*s[69])/3 - 2*s[71] + 
       4*s[72] - (13*s[74])/3 + (13*s[75])/3 - 6*s[76] - 2*s[77] + 
       (8*s[78])/3 + (320*s[79])/3 - (172*s[80])/9 + 12*s[82] + 48*s[84] + 
       44*s[85]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((17*s[2])/8 - (123*s[3])/16 + (5051*s[4])/96 + (27935*s[5])/264 + 
       (39051*s[6])/352 + (16362527*s[7])/6336 - (1711345*s[8])/9504 - 
       (120167*s[9])/54 - (409121*s[10])/432 - (16622521*s[11])/6336 - 
       (4207925*s[12])/1584 - (8903495*s[13])/6336 - (4356637*s[14])/6336 - 
       (761579*s[15])/192 - (3580537*s[16])/792 - (2856063*s[17])/704 - 
       (181351*s[18])/648 - (1786265*s[19])/2592 - (163108409*s[20])/28512 - 
       (104057419*s[21])/57024 + (77395583*s[22])/57024 + (105382*s[23])/99 + 
       (47553353*s[24])/14256 - (832485173*s[25])/256608 + 
       (446660969*s[26])/256608 - (29*s[30])/6 - s[31]/6 - (11*s[32])/12 + 
       (155*s[33])/48 + (16*s[34])/3 + (335*s[35])/12 + (629*s[36])/36 - 
       (343*s[37])/72 + (133*s[38])/4 - (791*s[39])/24 + (7475*s[40])/72 - 
       (629*s[41])/12 - (2291*s[42])/72 + (153007*s[43])/792 - 
       (576031*s[44])/3168 + (977293*s[45])/1584 - (1548355*s[46])/528 - 
       (1359271*s[47])/9504 + (2915285*s[48])/9504 - (8433059*s[49])/9504 + 
       (498931*s[50])/198 + (671029*s[51])/9504 - (478925*s[52])/9504 - 
       (1520485*s[53])/792 - (307*s[54])/44 - (43119151*s[55])/3168 - 
       (28155637*s[56])/9504 - (74884333*s[57])/14256 - 
       (218513921*s[58])/85536 + (260272139*s[59])/85536 + 
       (1602302267*s[60])/57024 - (1138795967*s[61])/769824 + s[65] + 
       4*s[66] - 6*s[67] - (13*s[68])/2 - (11*s[69])/2 - (9*s[70])/2 - 
       s[71] - (11*s[72])/6 + (35*s[73])/6 + (23*s[74])/8 - (23*s[75])/8 + 
       (37*s[76])/6 - s[77]/4 - (95*s[78])/6 + (224*s[79])/3 - 
       (1339*s[80])/36 + 315*s[82] - 3*s[83] + 19*s[84] + 46*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - w]*
      ((133*s[2])/24 + (447*s[3])/16 + (11393*s[4])/96 + (12223*s[5])/66 + 
       (304495*s[6])/1056 + (70616291*s[7])/19008 - (6848845*s[8])/28512 - 
       (517541*s[9])/162 - (1565051*s[10])/1296 - (75422821*s[11])/19008 - 
       (19854401*s[12])/4752 - (44895659*s[13])/19008 - 
       (15526177*s[14])/19008 - (9146701*s[15])/1728 - (1906808*s[16])/297 - 
       (33527561*s[17])/6336 - (1166071*s[18])/1944 - (5669429*s[19])/7776 - 
       (681064733*s[20])/85536 - (477193183*s[21])/171072 + 
       (335413115*s[22])/171072 + (3316279*s[23])/1188 + 
       (187910573*s[24])/42768 - (3801746477*s[25])/769824 + 
       (2129650265*s[26])/769824 + s[30]/3 + (35*s[31])/6 - (47*s[32])/12 + 
       (691*s[33])/48 - (47*s[34])/6 + s[35]/6 + (15*s[36])/4 + 
       (589*s[37])/72 + (1315*s[38])/12 - (8147*s[39])/24 + (3235*s[40])/8 - 
       (814*s[41])/3 + (3095*s[42])/8 + (107857*s[43])/264 - 
       (145513*s[44])/352 + (1179479*s[45])/1584 - (6947663*s[46])/1584 - 
       (18451*s[47])/352 + (375275*s[48])/1056 - (2137517*s[49])/1056 + 
       (38766*s[50])/11 + (875929*s[51])/3168 + (155533*s[52])/1056 - 
       (6057761*s[53])/2376 - (44381*s[54])/396 - (54722089*s[55])/3168 - 
       (38431099*s[56])/9504 - (24023491*s[57])/14256 - 
       (460697327*s[58])/85536 + (501280757*s[59])/85536 + 
       (748605719*s[60])/19008 - (1536984821*s[61])/769824 + s[65] + 
       4*s[66] - 6*s[67] - (13*s[68])/2 - (11*s[69])/2 - (15*s[70])/2 - 
       s[71] - (13*s[72])/6 + (37*s[73])/6 - (13*s[74])/24 + (13*s[75])/24 - 
       (31*s[76])/3 + (35*s[77])/12 - (17*s[78])/6 + (128*s[79])/3 - 
       (35*s[80])/36 + 369*s[82] - 3*s[83] + 19*s[84] + 46*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((38*s[2])/3 + (113*s[3])/8 + (5707*s[4])/6 + (330371*s[5])/528 + 
       (1606255*s[6])/1056 + (35236447*s[7])/2376 - (12036767*s[8])/9504 - 
       (10830595*s[9])/864 - (825881*s[10])/216 - (103339513*s[11])/6336 - 
       (113717443*s[12])/6336 - (102117671*s[13])/9504 - 
       (2309239*s[14])/1584 - (4245385*s[15])/216 - (29578135*s[16])/1188 - 
       (358724285*s[17])/19008 - (6993715*s[18])/2592 - 
       (5692403*s[19])/2592 - (833932049*s[20])/28512 - 
       (99398011*s[21])/9504 + (222987923*s[22])/28512 + 
       (341973041*s[23])/19008 + (912415987*s[24])/57024 - 
       (397773709*s[25])/19008 + (71703385*s[26])/6336 + (2*s[30])/3 + 
       (20*s[31])/3 - (11*s[32])/4 + 4*s[33] - 14*s[34] - 12*s[35] - 
       (284*s[36])/9 + (1621*s[37])/36 + (12607*s[38])/24 - 
       (34243*s[39])/16 + (343931*s[40])/144 - (89975*s[41])/48 + 
       (111889*s[42])/36 + (2880241*s[43])/1584 - (6238145*s[44])/3168 + 
       (3196879*s[45])/1584 - (12851953*s[46])/792 + (7156723*s[47])/9504 + 
       (1198375*s[48])/9504 - (79726741*s[49])/9504 + (9934475*s[50])/792 + 
       (20295701*s[51])/9504 + (16380851*s[52])/9504 - 
       (41054641*s[53])/4752 + (14257*s[54])/99 - (172557433*s[55])/3168 - 
       (14971609*s[56])/1056 + (75313349*s[57])/4752 - 
       (728992921*s[58])/28512 + (739945411*s[59])/28512 + 
       (7549606483*s[60])/57024 - (73830973*s[61])/10692 + s[62]/6 - 
       (17*s[68])/6 + (17*s[69])/6 - (5*s[71])/6 + 8*s[72] - (37*s[74])/3 + 
       (37*s[75])/3 - (20*s[76])/3 - (11*s[77])/2 + 6*s[78] + (608*s[79])/3 - 
       (833*s[80])/18 + (417*s[82])/4 + 96*s[84] + 46*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*
      ((29*s[2])/2 - (17*s[3])/3 + (39383*s[4])/48 + (66503*s[5])/132 + 
       (1460137*s[6])/1056 + (30316885*s[7])/2376 - (30282335*s[8])/28512 - 
       (27955417*s[9])/2592 - (2126303*s[10])/648 - (268361051*s[11])/19008 - 
       (296439895*s[12])/19008 - (9973345*s[13])/1056 - 
       (12129751*s[14])/9504 - (797825*s[15])/48 - (67671775*s[16])/3168 - 
       (304581085*s[17])/19008 - (4447427*s[18])/1944 - 
       (7288373*s[19])/3888 - (1070222381*s[20])/42768 - 
       (95702411*s[21])/10692 + (144454487*s[22])/21384 + 
       (32260079*s[23])/2112 + (2365710841*s[24])/171072 - 
       (27892099943*s[25])/1539648 + (15059042297*s[26])/1539648 - s[30]/6 + 
       (20*s[31])/3 - (19*s[32])/3 + 4*s[33] - (67*s[34])/6 + (2*s[35])/3 - 
       (673*s[36])/18 + (2779*s[37])/72 + (3779*s[38])/8 - (45985*s[39])/24 + 
       (155035*s[40])/72 - (41027*s[41])/24 + (400405*s[42])/144 + 
       (1325087*s[43])/792 - (5639435*s[44])/3168 + (706661*s[45])/396 - 
       (320139*s[46])/22 + (5905315*s[47])/9504 + (2231095*s[48])/9504 - 
       (36365447*s[49])/4752 + (2225825*s[50])/198 + (8907499*s[51])/4752 + 
       (14839019*s[52])/9504 - (6046753*s[53])/792 + (24945*s[54])/176 - 
       (152911183*s[55])/3168 - (60703273*s[56])/4752 + 
       (210422737*s[57])/14256 - (985655417*s[58])/42768 + 
       (248686577*s[59])/10692 + (3399442073*s[60])/28512 - 
       (1188428203*s[61])/192456 - (23*s[68])/6 + (23*s[69])/6 - 2*s[71] + 
       8*s[72] - 12*s[73] - (107*s[74])/12 + (107*s[75])/12 - 9*s[76] - 
       (13*s[77])/2 + (19*s[78])/3 + (610*s[79])/3 - (371*s[80])/9 + 
       (507*s[82])/4 + 96*s[84] + 46*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*((1109*s[2])/36 - 
       (841*s[3])/72 + (13563*s[4])/16 + (625465*s[5])/792 + 
       (671969*s[6])/396 + (444350135*s[7])/28512 - (25979191*s[8])/21384 - 
       (51744031*s[9])/3888 - (7950313*s[10])/1944 - (121498853*s[11])/7128 - 
       (527587051*s[12])/28512 - (104569643*s[13])/9504 - 
       (64319867*s[14])/28512 - (18005623*s[15])/864 - 
       (62382481*s[16])/2376 - (291421181*s[17])/14256 - 
       (35771201*s[18])/11664 - (11770973*s[19])/5832 - 
       (4025295667*s[20])/128304 - (2999258597*s[21])/256608 + 
       (2116320595*s[22])/256608 + (173495071*s[23])/9504 + 
       (4249298245*s[24])/256608 - (49461502631*s[25])/2309472 + 
       (27876603371*s[26])/2309472 + (73*s[30])/9 + 17*s[31] - (31*s[32])/6 + 
       (109*s[33])/8 - (292*s[34])/9 - (113*s[35])/18 - (3527*s[36])/54 + 
       (4483*s[37])/108 + (3269*s[38])/6 - (6841*s[39])/3 + 
       (135323*s[40])/54 - (5888*s[41])/3 + (721153*s[42])/216 + 
       (1091911*s[43])/594 - (9774023*s[44])/4752 + (4756655*s[45])/2376 - 
       (13158403*s[46])/792 + (12644413*s[47])/14256 - (412829*s[48])/14256 - 
       (122462695*s[49])/14256 + (3786614*s[50])/297 + 
       (32961713*s[51])/14256 + (26127515*s[52])/14256 - 
       (2615704*s[53])/297 + (63731*s[54])/198 - (261834377*s[55])/4752 - 
       (208985333*s[56])/14256 + (97116799*s[57])/5346 - 
       (3427134613*s[58])/128304 + (3458883301*s[59])/128304 + 
       (11432225173*s[60])/85536 - (8238894355*s[61])/1154736 + (2*s[62])/3 - 
       (5*s[65])/3 - (20*s[66])/3 + 9*s[67] + (61*s[68])/9 + (116*s[69])/9 - 
       (10*s[70])/3 + (5*s[71])/6 + 15*s[72] - (29*s[73])/3 - 
       (605*s[74])/36 + (605*s[75])/36 - (176*s[76])/9 - (43*s[77])/18 + 
       (272*s[78])/9 + (1520*s[79])/9 - (1355*s[80])/54 + (889*s[82])/6 + 
       5*s[83] + 88*s[84] + (140*s[85])/3) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*((419*s[2])/12 - 
       (23*s[3])/72 + (129973*s[4])/144 + (82187*s[5])/99 + 
       (510809*s[6])/264 + (54009211*s[7])/3168 - (4473577*s[8])/3564 - 
       (18830657*s[9])/1296 - (3031847*s[10])/648 - (22170419*s[11])/1188 - 
       (191497187*s[12])/9504 - (114852601*s[13])/9504 - 
       (26185507*s[14])/9504 - (19721159*s[15])/864 - 
       (137511779*s[16])/4752 - (108238115*s[17])/4752 - 
       (12589243*s[18])/3888 - (4692229*s[19])/1944 - 
       (1474070177*s[20])/42768 - (1096296481*s[21])/85536 + 
       (770671631*s[22])/85536 + (176347331*s[23])/9504 + 
       (1588219187*s[24])/85536 - (17995452631*s[25])/769824 + 
       (10156238863*s[26])/769824 + (7*s[30])/3 + 17*s[31] - (77*s[32])/18 + 
       (85*s[33])/8 - (88*s[34])/3 - (23*s[35])/2 - (379*s[36])/6 + 
       (553*s[37])/12 + (10195*s[38])/18 - (168959*s[39])/72 + 
       (187139*s[40])/72 - (16423*s[41])/8 + (30680*s[42])/9 + 
       (1597865*s[43])/792 - (3462079*s[44])/1584 + (426299*s[45])/198 - 
       (1559879*s[46])/88 + (3679939*s[47])/4752 + (1275361*s[48])/4752 - 
       (44436565*s[49])/4752 + (450818*s[50])/33 + (10942697*s[51])/4752 + 
       (8714765*s[52])/4752 - (22314121*s[53])/2376 + (46471*s[54])/396 - 
       (280398343*s[55])/4752 - (24615497*s[56])/1584 + (5220943*s[57])/297 - 
       (398155963*s[58])/14256 + (403767025*s[59])/14256 + 
       (4120300255*s[60])/28512 - (80817433*s[61])/10692 - (5*s[65])/3 - 
       (20*s[66])/3 + 9*s[67] + (34*s[68])/9 + (152*s[69])/9 - (4*s[70])/3 - 
       s[71]/3 + 15*s[72] - (35*s[73])/3 - (61*s[74])/4 + (61*s[75])/4 - 
       15*s[76] - (115*s[77])/18 + 31*s[78] + (584*s[79])/3 - (199*s[80])/6 + 
       (979*s[82])/6 + 5*s[83] + 88*s[84] + (140*s[85])/3) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      ((1103*s[2])/48 - (14921*s[3])/288 + (63907*s[4])/192 + 
       (229487*s[5])/396 + (5975683*s[6])/6336 + (115442093*s[7])/12672 - 
       (107045369*s[8])/171072 - (61500395*s[9])/7776 - 
       (20550553*s[10])/7776 - (1117434095*s[11])/114048 - 
       (293834347*s[12])/28512 - (682419401*s[13])/114048 - 
       (230763479*s[14])/114048 - (131457391*s[15])/10368 - 
       (13943179*s[16])/891 - (1487917301*s[17])/114048 - 
       (39820561*s[18])/23328 - (62971543*s[19])/46656 - 
       (9772433779*s[20])/513216 - (7470236297*s[21])/1026432 + 
       (4974710773*s[22])/1026432 + (7662203*s[23])/891 + 
       (2568774229*s[24])/256608 - (6909975623*s[25])/577368 + 
       (4062121157*s[26])/577368 - (5*s[28])/4 - (3*s[29])/2 + 
       (35*s[30])/72 + (157*s[31])/18 - (15*s[32])/2 + (779*s[33])/36 - 
       (449*s[34])/24 - (767*s[35])/72 - (5573*s[36])/216 + (1759*s[37])/36 + 
       (20563*s[38])/72 - (12331*s[39])/9 + (324323*s[40])/216 - 
       (55031*s[41])/48 + (877187*s[42])/432 + (300998*s[43])/297 - 
       (23398469*s[44])/19008 + (2045575*s[45])/1584 - 
       (49256891*s[46])/4752 + (35811799*s[47])/57024 - 
       (11802185*s[48])/57024 - (290851993*s[49])/57024 + 
       (38531411*s[50])/4752 + (81461219*s[51])/57024 + 
       (60086693*s[52])/57024 - (162043415*s[53])/28512 + 
       (262979*s[54])/2376 - (224121719*s[55])/6336 - 
       (515041171*s[56])/57024 + (855081443*s[57])/85536 - 
       (8375828693*s[58])/513216 + (8470571081*s[59])/513216 + 
       (28727935891*s[60])/342144 - (10499985259*s[61])/2309472 + 
       (5*s[63])/2 - s[64]/4 - (223*s[65])/72 - (151*s[66])/18 + 
       (581*s[67])/36 + (14*s[68])/9 + (391*s[69])/18 - (379*s[70])/36 + 
       (209*s[71])/36 + (587*s[72])/36 - (769*s[73])/36 - (599*s[74])/48 + 
       (581*s[75])/48 - (163*s[76])/18 - (149*s[77])/72 + (1031*s[78])/36 + 
       (325*s[79])/3 - (1835*s[80])/36 + (865*s[82])/2 + (20*s[83])/3 + 
       (133*s[84])/6 + (143*s[85])/3) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]^2*((159*s[2])/4 - (1691*s[3])/72 + (22771*s[4])/16 + 
       (3883417*s[5])/3168 + (8844455*s[6])/3168 + (39915263*s[7])/1584 - 
       (167532511*s[8])/85536 - (166713977*s[9])/7776 - 
       (51503155*s[10])/7776 - (197135033*s[11])/7128 - 
       (859400719*s[12])/28512 - (516978047*s[13])/28512 - 
       (100440701*s[14])/28512 - (86656909*s[15])/2592 - 
       (1208527637*s[16])/28512 - (933429779*s[17])/28512 - 
       (112134625*s[18])/23328 - (20205737*s[19])/5832 - 
       (6462881605*s[20])/128304 - (2392013419*s[21])/128304 + 
       (3411849025*s[22])/256608 + (831649459*s[23])/28512 + 
       (6986202451*s[24])/256608 - (161237005657*s[25])/4618944 + 
       (90111245137*s[26])/4618944 - (71*s[30])/9 + (241*s[31])/18 - 
       (31*s[32])/6 + (97*s[33])/72 - 25*s[34] - (91*s[35])/36 - 
       (1558*s[36])/27 + (5317*s[37])/48 + (67291*s[38])/72 - 
       (538567*s[39])/144 + (1790785*s[40])/432 - (25885*s[41])/8 + 
       (2338595*s[42])/432 + (1414837*s[43])/432 - (740927*s[44])/216 + 
       (335989*s[45])/96 - (24534569*s[46])/864 + (1627721*s[47])/1296 + 
       (245923*s[48])/648 - (4800077*s[49])/324 + (4694039*s[50])/216 + 
       (2360609*s[51])/648 + (3832813*s[52])/1296 - (39088189*s[53])/2592 + 
       (283943*s[54])/432 - (4563397*s[55])/48 - (32446667*s[56])/1296 + 
       (105292571*s[57])/3888 - (1039639769*s[58])/23328 + 
       (528646783*s[59])/11664 + (3598709659*s[60])/15552 - 
       (5063398513*s[61])/419904 - (8*s[65])/9 - (55*s[66])/18 + 
       (38*s[67])/9 + (2*s[68])/9 + (85*s[69])/18 - (101*s[70])/18 + 
       s[71]/72 + (152*s[72])/9 - (179*s[73])/18 - (217*s[74])/12 + 
       (425*s[75])/24 - (289*s[76])/18 + (44*s[77])/9 + (191*s[78])/9 + 
       (944*s[79])/3 - (5939*s[80])/72 + s[81]/24 + (85*s[82])/2 + 
       (8*s[83])/3 + (757*s[84])/6 + (143*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - w]*
      (-s[2] - (7*s[3])/2 - (69*s[4])/2 + (4897*s[5])/88 + (5265*s[6])/44 + 
       (76031*s[7])/88 + (7943*s[8])/396 - (27353*s[9])/36 - 
       (29417*s[10])/72 - (490427*s[11])/528 - (476581*s[12])/528 - 
       (142855*s[13])/264 - (19175*s[14])/33 - (14171*s[15])/12 - 
       (419677*s[16])/264 - (786311*s[17])/528 - (6389*s[18])/54 - 
       (48439*s[19])/216 - (5098909*s[20])/2376 - (990419*s[21])/1188 + 
       (1104923*s[22])/2376 - (301415*s[23])/528 + (5862817*s[24])/4752 - 
       (21453523*s[25])/21384 + (1843220*s[26])/2673 - 2*s[32] - 12*s[37] + 
       (15*s[38])/2 + (407*s[39])/8 - (215*s[40])/8 + (137*s[41])/8 - 
       (1067*s[42])/8 + (5019*s[43])/88 - (11707*s[44])/176 + 
       (18415*s[45])/88 - (36829*s[46])/44 - (76235*s[47])/528 + 
       (173443*s[48])/528 - (187051*s[49])/528 + (7830*s[50])/11 - 
       (41237*s[51])/528 - (35455*s[52])/528 - (57845*s[53])/132 - 
       (3827*s[54])/22 - (1906655*s[55])/528 - (159371*s[56])/176 - 
       (282473*s[57])/132 - (952063*s[58])/1584 + (936847*s[59])/1584 + 
       (29012371*s[60])/3168 - (579247*s[61])/1188 - 4*s[68] + 4*s[69] - 
       4*s[77] + 228*s[82] + 48*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u]*(4*s[2] - (59*s[3])/2 - (117*s[4])/2 - 
       (5987*s[5])/88 - (1209*s[6])/88 - (498347*s[7])/792 + 
       (220849*s[8])/2376 + (116963*s[9])/216 + (22555*s[10])/216 + 
       (467537*s[11])/792 + (449677*s[12])/792 + (10385*s[13])/33 - 
       (33767*s[14])/396 + (4563*s[15])/4 + (45995*s[16])/44 + 
       (787909*s[17])/792 + (24625*s[18])/162 + (47897*s[19])/648 + 
       (1009786*s[20])/891 + (452218*s[21])/891 - (1057295*s[22])/3564 - 
       (188863*s[23])/132 - (3145195*s[24])/7128 + (103026643*s[25])/128304 - 
       (64930489*s[26])/128304 - 4*s[30] + 4*s[34] + 16*s[35] + 
       (28*s[36])/3 - (88*s[37])/3 - (93*s[38])/2 + (1601*s[39])/8 - 
       (4163*s[40])/24 + (773*s[41])/8 - (7789*s[42])/24 - 
       (33505*s[43])/264 + (41975*s[44])/528 - (11381*s[45])/264 + 
       (29805*s[46])/44 - (252349*s[47])/1584 + (415241*s[48])/1584 + 
       (811981*s[49])/1584 - (16640*s[50])/33 - (252629*s[51])/1584 - 
       (215993*s[52])/1584 + (34429*s[53])/66 - (2025*s[54])/44 + 
       (1401913*s[55])/528 + (474779*s[56])/1584 - (680209*s[57])/594 + 
       (15966091*s[58])/14256 - (22656943*s[59])/14256 - 
       (43306141*s[60])/9504 + (990502*s[61])/8019 - 4*s[68] + 4*s[69] + 
       2*s[74] - 2*s[75] + 8*s[76] - 4*s[77] - 8*s[78] + 16*s[79] - 
       (56*s[80])/3 + 264*s[82] + 48*s[85]) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*((-7*s[3])/2 - (47*s[4])/2 + 
       (8783*s[5])/88 + (3735*s[6])/22 + (57471*s[7])/44 - (257*s[8])/44 - 
       (4611*s[9])/4 - (4377*s[10])/8 - (245825*s[11])/176 - 
       (243479*s[12])/176 - (69687*s[13])/88 - (30759*s[14])/44 - 
       (14767*s[15])/8 - (52367*s[16])/22 - (377533*s[17])/176 - 
       (2917*s[18])/12 - (6001*s[19])/24 - (833869*s[20])/264 - 
       (167317*s[21])/132 + (185491*s[22])/264 + (917*s[23])/176 + 
       (300665*s[24])/176 - (407941*s[25])/264 + (46503*s[26])/44 - 2*s[32] - 
       20*s[37] + (23*s[38])/2 - (67*s[39])/8 + (259*s[40])/8 - 
       (249*s[41])/8 - (421*s[42])/8 + (9049*s[43])/88 - (22271*s[44])/176 + 
       (23029*s[45])/88 - (57855*s[46])/44 - (72223*s[47])/528 + 
       (174947*s[48])/528 - (316523*s[49])/528 + (11571*s[50])/11 - 
       (28049*s[51])/528 - (22991*s[52])/528 - (23215*s[53])/33 - 
       (4031*s[54])/22 - (2775659*s[55])/528 - (234571*s[56])/176 - 
       (223885*s[57])/132 - (2097767*s[58])/1584 + (2185199*s[59])/1584 + 
       (40827167*s[60])/3168 - (205807*s[61])/297 - 4*s[68] + 4*s[69] - 
       4*s[77] + 291*s[82] + 48*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1, 1}, 1 - v]*(4*s[2] - (35*s[3])/2 - (117*s[4])/2 + 
       (3791*s[5])/88 + (706*s[6])/11 + (438643*s[7])/792 + 
       (17839*s[8])/594 - (54593*s[9])/108 - (78347*s[10])/216 - 
       (850601*s[11])/1584 - (663187*s[12])/1584 - (23135*s[13])/132 - 
       (227927*s[14])/396 - (11425*s[15])/12 - (304547*s[16])/264 - 
       (2041645*s[17])/1584 - (41525*s[18])/648 - (14348*s[19])/81 - 
       (5903375*s[20])/3564 - (2310467*s[21])/3564 + (2206421*s[22])/7128 - 
       (434789*s[23])/528 + (13560259*s[24])/14256 - (29170915*s[25])/64152 + 
       (13078781*s[26])/32076 - 4*s[30] + 4*s[34] + 16*s[35] + (28*s[36])/3 - 
       (34*s[37])/3 - (57*s[38])/2 + (1071*s[39])/8 - (2573*s[40])/24 + 
       (537*s[41])/8 - (5533*s[42])/24 - (391*s[43])/264 + (611*s[44])/528 + 
       (44053*s[45])/264 - (22641*s[46])/44 - (284989*s[47])/1584 + 
       (489125*s[48])/1584 - (79175*s[49])/1584 + (34097*s[50])/66 - 
       (225845*s[51])/1584 - (251753*s[52])/1584 - (16397*s[53])/44 - 
       (7617*s[54])/44 - (1649767*s[55])/528 - (1148965*s[56])/1584 - 
       (1863619*s[57])/594 + (1586575*s[58])/14256 - (209071*s[59])/14256 + 
       (61853687*s[60])/9504 - (25237537*s[61])/64152 - 4*s[68] + 4*s[69] + 
       2*s[74] - 2*s[75] + 8*s[76] - 4*s[77] - 8*s[78] + 16*s[79] - 
       (56*s[80])/3 + 291*s[82] + 48*s[85]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*((-43*s[2])/2 + 
       (203*s[3])/4 + (727*s[4])/8 + (233*s[5])/22 + (15753*s[6])/88 + 
       (937693*s[7])/528 - (2773*s[8])/264 - (17977*s[9])/12 - 
       (2453*s[10])/3 - (350035*s[11])/176 - (89443*s[12])/44 - 
       (710639*s[13])/528 - (86059*s[14])/176 - (128599*s[15])/48 - 
       (890041*s[16])/264 - (1549771*s[17])/528 - (613*s[18])/36 - 
       (58771*s[19])/72 - (3044689*s[20])/792 - (640687*s[21])/528 + 
       (1496357*s[22])/1584 - (97171*s[23])/264 + (2275129*s[24])/792 - 
       (495863*s[25])/198 + (253679*s[26])/198 + 2*s[27] + 6*s[29] - 
       2*s[30] - 12*s[31] + 2*s[32] - s[33]/4 + 18*s[34] + s[35] + 
       (149*s[36])/6 - (157*s[37])/6 + 38*s[38] + (333*s[39])/8 + 
       (613*s[40])/24 - (367*s[41])/8 - (3607*s[42])/24 + (49751*s[43])/264 - 
       (83653*s[44])/528 + (28387*s[45])/132 - (312967*s[46])/264 - 
       (503617*s[47])/1584 + (1028045*s[48])/1584 - (1551989*s[49])/1584 + 
       (159025*s[50])/132 - (191339*s[51])/1584 - (178745*s[52])/1584 - 
       (495977*s[53])/792 - (22400*s[54])/33 - (2563487*s[55])/528 - 
       (320725*s[56])/528 - (135063*s[57])/44 - (3238615*s[58])/4752 + 
       (4218937*s[59])/4752 + (143676047*s[60])/9504 - 
       (15300587*s[61])/42768 + (3*s[65])/2 + 4*s[66] - 4*s[67] - 18*s[68] - 
       s[71] - 8*s[72] + 6*s[73] + 4*s[74] - (11*s[75])/2 + 8*s[76] - 
       7*s[77] - 22*s[78] + 68*s[79] - (85*s[80])/3 + 282*s[82] - 9*s[83] + 
       18*s[84] + 48*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*((-23*s[2])/2 + 40*s[3] + (117*s[4])/2 - 
       (453*s[5])/44 + (1097*s[6])/44 + (387911*s[7])/792 - (393*s[8])/11 - 
       (2269*s[9])/6 - (397*s[10])/2 - (163391*s[11])/264 - 
       (32471*s[12])/44 - (344917*s[13])/792 + (19645*s[14])/264 - 
       (46175*s[15])/72 - (371675*s[16])/396 - (467957*s[17])/792 + 
       (1879*s[18])/108 - (32065*s[19])/108 - (580139*s[20])/594 - 
       (550843*s[21])/2376 + (67315*s[22])/264 + (15748*s[23])/99 + 
       (85501*s[24])/99 - (18394117*s[25])/21384 + (7592263*s[26])/21384 + 
       2*s[30] - 6*s[31] + 3*s[32] - 8*s[33] + 13*s[34] - s[35] + 
       (39*s[36])/2 - (9*s[37])/2 + (23*s[38])/2 - (145*s[39])/8 + 
       (357*s[40])/8 - (295*s[41])/8 - (73*s[42])/8 + (6311*s[43])/88 - 
       (18961*s[44])/176 + (1159*s[45])/11 - (55977*s[46])/88 - 
       (15347*s[47])/176 + (37167*s[48])/176 - (91063*s[49])/176 + 
       (6437*s[50])/11 - (4661*s[51])/176 - (4799*s[52])/176 - 
       (26729*s[53])/88 - (14973*s[54])/44 - (385703*s[55])/176 - 
       (53413*s[56])/176 - (57955*s[57])/132 - (1167703*s[58])/1584 + 
       (1164769*s[59])/1584 + (7349473*s[60])/1056 - (3672517*s[61])/14256 + 
       2*s[70] + (5*s[71])/2 - 4*s[72] + 2*s[73] + 2*s[74] - (9*s[75])/2 + 
       6*s[76] - 3*s[77] - 4*s[78] - 8*s[79] - 13*s[80] + 282*s[82] - 
       9*s[83] + 18*s[84] + 48*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1}, 1 - w]*((41*s[2])/4 + (173*s[3])/2 + (2003*s[4])/6 + 
       (127195*s[5])/528 + (122233*s[6])/176 + (1013965*s[7])/176 - 
       (2140675*s[8])/4752 - (2053799*s[9])/432 - (753211*s[10])/432 - 
       (1241773*s[11])/198 - (10622329*s[12])/1584 - (6301997*s[13])/1584 - 
       (1630997*s[14])/1584 - (564781*s[15])/72 - (1985161*s[16])/198 - 
       (12942731*s[17])/1584 - (1360765*s[18])/1296 - (661411*s[19])/648 - 
       (41753531*s[20])/3564 - (7530361*s[21])/1782 + 
       (42262897*s[22])/14256 + (1116959*s[23])/198 + (46741091*s[24])/7128 - 
       (2025519337*s[25])/256608 + (1125976789*s[26])/256608 - s[29] - 
       s[30] + (7*s[32])/2 - (27*s[33])/8 + (13*s[34])/2 - 2*s[35] - 
       (27*s[36])/2 + (115*s[37])/24 + (931*s[38])/6 - (5217*s[39])/8 + 
       (5805*s[40])/8 - (14101*s[41])/24 + (22109*s[42])/24 + 
       (167249*s[43])/264 - (348815*s[44])/528 + (417809*s[45])/528 - 
       (1033099*s[46])/176 + (224333*s[47])/1584 + (379103*s[48])/1584 - 
       (4764779*s[49])/1584 + (405775*s[50])/88 + (106999*s[51])/176 + 
       (742405*s[52])/1584 - (5109059*s[53])/1584 - (11233*s[54])/66 - 
       (10777831*s[55])/528 - (8166899*s[56])/1584 + (997277*s[57])/297 - 
       (61082213*s[58])/7128 + (125347393*s[59])/14256 + 
       (58203235*s[60])/1188 - (674185349*s[61])/256608 + s[64]/2 - s[65]/4 - 
       s[66] - 4*s[68] + 6*s[69] + s[70]/2 + s[71] + 4*s[72] + 2*s[73] - 
       (7*s[74])/2 + (7*s[75])/2 - 5*s[76] - (11*s[77])/2 + 6*s[78] + 
       16*s[79] - (5*s[80])/12 + 249*s[82] + (33*s[83])/4 + (45*s[84])/2 + 
       48*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      (4*s[2] + (263*s[3])/8 + (3699*s[4])/16 + (8821*s[5])/528 + 
       (67729*s[6])/264 + (6300979*s[7])/3168 - (574789*s[8])/2376 - 
       (666301*s[9])/432 - (153311*s[10])/432 - (7640879*s[11])/3168 - 
       (2359381*s[12])/792 - (5743333*s[13])/3168 + (970117*s[14])/3168 - 
       (559651*s[15])/288 - (5054327*s[16])/1584 - (1733417*s[17])/1056 - 
       (631619*s[18])/1296 - (195001*s[19])/1296 - (48564757*s[20])/14256 - 
       (29070611*s[21])/28512 + (29569369*s[22])/28512 + 
       (1598017*s[23])/396 + (6915653*s[24])/3564 - (851663909*s[25])/
        256608 + (385577669*s[26])/256608 + s[30] + 2*s[31] + s[32]/2 - 
       s[33]/8 - s[34]/2 + 2*s[35] - (109*s[36])/6 + (105*s[37])/8 + 
       (291*s[38])/4 - (4715*s[39])/12 + (5155*s[40])/12 - (9001*s[41])/24 + 
       (4505*s[42])/8 + (27743*s[43])/132 - (93875*s[44])/264 + 
       (128551*s[45])/528 - (1280773*s[46])/528 + (69235*s[47])/396 - 
       (18413*s[48])/396 - (234989*s[49])/198 + (113785*s[50])/66 + 
       (338885*s[51])/792 + (292339*s[52])/792 - (517445*s[53])/528 + 
       (36541*s[54])/264 - (4733345*s[55])/792 - (1832647*s[56])/792 + 
       (14878309*s[57])/2376 - (70049335*s[58])/14256 + 
       (14989969*s[59])/3564 + (165992785*s[60])/9504 - 
       (306767057*s[61])/256608 + (9*s[71])/4 + 4*s[72] + 2*s[73] - 
       (9*s[74])/2 + 5*s[75] - 8*s[76] - 2*s[77] + 4*s[78] - 4*s[79] + 
       (3*s[80])/4 + 309*s[82] + (33*s[83])/4 + (45*s[84])/2 + 48*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Omega2[u, v, w]*
      ((25*s[2])/3 + (47*s[3])/4 + (11249*s[4])/24 + (825*s[5])/2 + 
       (7765*s[6])/8 + (423485*s[7])/48 - (149341*s[8])/216 - 
       (809093*s[9])/108 - (262861*s[10])/108 - (1386193*s[11])/144 - 
       (751063*s[12])/72 - (890677*s[13])/144 - (206515*s[14])/144 - 
       (1701155*s[15])/144 - (1077269*s[16])/72 - (1690219*s[17])/144 - 
       (136444*s[18])/81 - (813259*s[19])/648 - (11608157*s[20])/648 - 
       (8498881*s[21])/1296 + (6023009*s[22])/1296 + (86429*s[23])/9 + 
       (3120479*s[24])/324 - (35274469*s[25])/2916 + (9890183*s[26])/1458 + 
       s[30]/3 + (10*s[31])/3 - (8*s[32])/3 + (5*s[33])/4 - 4*s[34] - 
       (7*s[35])/3 - (44*s[36])/3 + (161*s[37])/6 + 259*s[38] - 
       (6581*s[39])/6 + (2477*s[40])/2 - 971*s[41] + (19081*s[42])/12 + 
       (10673*s[43])/11 - (137705*s[44])/132 + (160447*s[45])/132 - 
       (1217383*s[46])/132 + (35506*s[47])/99 + (36395*s[48])/198 - 
       (880901*s[49])/198 + (156333*s[50])/22 + (217553*s[51])/198 + 
       (346037*s[52])/396 - (216891*s[53])/44 + (6271*s[54])/33 - 
       (6226889*s[55])/198 - (833258*s[56])/99 + (9120923*s[57])/1188 - 
       (50851903*s[58])/3564 + (12778129*s[59])/891 + 
       (179580133*s[60])/2376 - (265919549*s[61])/64152 + 4*s[72] - 
       (31*s[74])/6 + (31*s[75])/6 - (16*s[76])/3 - (4*s[77])/3 + 4*s[78] + 
       112*s[79] - (97*s[80])/3 + 245*s[82] + 48*s[84] + 52*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Omega2[u, v, w]*
      ((199*s[2])/12 + (135*s[3])/8 + (11179*s[4])/16 + (82147*s[5])/132 + 
       (768971*s[6])/528 + (123456875*s[7])/9504 - (14340305*s[8])/14256 - 
       (3573403*s[9])/324 - (2297209*s[10])/648 - (134918117*s[11])/9504 - 
       (36545269*s[12])/2376 - (9699139*s[13])/1056 - (19658777*s[14])/9504 - 
       (4999615*s[15])/288 - (4357283*s[16])/198 - (164060491*s[17])/9504 - 
       (1196563*s[18])/486 - (7221277*s[19])/3888 - (1122616417*s[20])/
        42768 - (825821423*s[21])/85536 + (584680915*s[22])/85536 + 
       (1877869*s[23])/132 + (302988361*s[24])/21384 - 
       (6873081175*s[25])/384912 + (3852177463*s[26])/384912 - (2*s[30])/3 + 
       (19*s[31])/3 - (5*s[32])/6 + (55*s[33])/24 - (25*s[34])/3 - 
       (23*s[35])/6 - (221*s[36])/9 + (923*s[37])/18 + (2437*s[38])/6 - 
       (40483*s[39])/24 + (135625*s[40])/72 - (35081*s[41])/24 + 
       (176225*s[42])/72 + (1152335*s[43])/792 - (307979*s[44])/198 + 
       (688231*s[45])/396 - (10698367*s[46])/792 + (358723*s[47])/594 + 
       (366847*s[48])/2376 - (3945937*s[49])/594 + (1024729*s[50])/99 + 
       (4030487*s[51])/2376 + (3213365*s[52])/2376 - (8538325*s[53])/1188 + 
       (33280*s[54])/99 - (36109727*s[55])/792 - (805919*s[56])/66 + 
       (29325667*s[57])/2376 - (18869888*s[58])/891 + 
       (151819399*s[59])/7128 + (784353473*s[60])/7128 - 
       (85073317*s[61])/14256 - s[65]/3 - (4*s[66])/3 + (8*s[67])/3 + 
       (8*s[68])/3 + (8*s[69])/3 + (5*s[70])/3 + s[71]/3 + (23*s[72])/3 - 
       5*s[73] - (33*s[74])/4 + (33*s[75])/4 - (31*s[76])/3 - (11*s[77])/6 + 
       (29*s[78])/3 + (472*s[79])/3 - (388*s[80])/9 + 220*s[82] + s[83] + 
       66*s[84] + 52*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      Omega2[w, u, v]*(19*s[2] + (51*s[3])/2 + (6199*s[4])/8 + 
       (55841*s[5])/88 + (33743*s[6])/22 + (2683553*s[7])/198 - 
       (1272995*s[8])/1188 - (1239349*s[9])/108 - (782263*s[10])/216 - 
       (11744879*s[11])/792 - (12750139*s[12])/792 - (424359*s[13])/44 - 
       (1574561*s[14])/792 - (54419*s[15])/3 - (6059489*s[16])/264 - 
       (14233327*s[17])/792 - (205727*s[18])/81 - (314543*s[19])/162 - 
       (96852967*s[20])/3564 - (8889898*s[21])/891 + (50793007*s[22])/7128 + 
       (1352991*s[23])/88 + (104814109*s[24])/7128 - (1201726763*s[25])/
        64152 + (669967235*s[26])/64152 + (3*s[30])/2 + 9*s[31] + 
       (57*s[33])/8 - (29*s[34])/2 - 6*s[35] - (110*s[36])/3 + 
       (145*s[37])/3 + 424*s[38] - (3629*s[39])/2 + (12127*s[40])/6 - 
       (3155*s[41])/2 + (15995*s[42])/6 + (98861*s[43])/66 - 
       (217177*s[44])/132 + (55327*s[45])/33 - (902197*s[46])/66 + 
       (277901*s[47])/396 + (4595*s[48])/396 - (2736923*s[49])/396 + 
       (345745*s[50])/33 + (726967*s[51])/396 + (580339*s[52])/396 - 
       (719677*s[53])/99 + (11659*s[54])/33 - (6036013*s[55])/132 - 
       (1619303*s[56])/132 + (2834429*s[57])/198 - (2885911*s[58])/132 + 
       (8730053*s[59])/396 + (262353821*s[60])/2376 - (31790633*s[61])/5346 - 
       s[65] - 4*s[66] + 6*s[67] + 4*s[68] + 8*s[69] + s[71] + 12*s[72] - 
       12*s[73] - 11*s[74] + 11*s[75] - 8*s[76] - 2*s[77] + 20*s[78] + 
       172*s[79] - (148*s[80])/3 + 224*s[82] + 3*s[83] + 66*s[84] + 
       52*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Omega2[w, u, v]*
      (19*s[2] + (19*s[3])/2 + (5591*s[4])/8 + (51985*s[5])/88 + 
       (30581*s[6])/22 + (2477747*s[7])/198 - (1160155*s[8])/1188 - 
       (286793*s[9])/27 - (733715*s[10])/216 - (10828087*s[11])/792 - 
       (11708819*s[12])/792 - (3496093*s[13])/396 - (1501201*s[14])/792 - 
       (151634*s[15])/9 - (16843055*s[16])/792 - (4427869*s[17])/264 - 
       (373433*s[18])/162 - (149450*s[19])/81 - (89758673*s[20])/3564 - 
       (16459819*s[21])/1782 + (47027543*s[22])/7128 + (10997407*s[23])/792 + 
       (97310177*s[24])/7128 - (1105605799*s[25])/64152 + 
       (616706899*s[26])/64152 + (3*s[30])/2 + 9*s[31] - 6*s[32] + 
       (63*s[33])/8 - (29*s[34])/2 - 6*s[35] - (107*s[36])/3 + 
       (137*s[37])/3 + 377*s[38] - (3293*s[39])/2 + (11023*s[40])/6 - 
       (2877*s[41])/2 + (14537*s[42])/6 + (89603*s[43])/66 - 
       (200527*s[44])/132 + (50693*s[45])/33 - (275201*s[46])/22 + 
       (250475*s[47])/396 + (7265*s[48])/396 - (2513801*s[49])/396 + 
       (318667*s[50])/33 + (661153*s[51])/396 + (516793*s[52])/396 - 
       (73753*s[53])/11 + (2181*s[54])/11 - (5558915*s[55])/132 - 
       (4414687*s[56])/396 + (14922835*s[57])/1188 - (70584695*s[58])/3564 + 
       (71461943*s[59])/3564 + (241028081*s[60])/2376 - 
       (173839397*s[61])/32076 - s[65] - 4*s[66] + 6*s[67] + 4*s[68] + 
       8*s[69] + s[71] + 12*s[72] - 12*s[73] - 11*s[74] + 11*s[75] - 
       8*s[76] - 7*s[77] + 20*s[78] + 164*s[79] - (140*s[80])/3 + 251*s[82] + 
       3*s[83] + 66*s[84] + 52*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      Omega2[v, w, u]*((58*s[2])/3 + 13*s[3] + (2738*s[4])/3 + 
       (24919*s[5])/44 + (198601*s[6])/132 + (2733931*s[7])/198 - 
       (1400387*s[8])/1188 - (314824*s[9])/27 - (92876*s[10])/27 - 
       (12076247*s[11])/792 - (6676589*s[12])/396 - (8070775*s[13])/792 - 
       (1011125*s[14])/792 - (162419*s[15])/9 - (18245881*s[16])/792 - 
       (4556251*s[17])/264 - (414763*s[18])/162 - (619111*s[19])/324 - 
       (48067355*s[20])/1782 - (69069893*s[21])/7128 + 
       (51919621*s[22])/7128 + (13746401*s[23])/792 + 
       (105033271*s[24])/7128 - (157189240*s[25])/8019 + 
       (169919507*s[26])/16038 + (4*s[30])/3 + (28*s[31])/3 - (19*s[32])/6 + 
       9*s[33] - 14*s[34] - (4*s[35])/3 - (113*s[36])/3 + (131*s[37])/3 + 
       (3145*s[38])/6 - (12751*s[39])/6 + (14285*s[40])/6 - 1877*s[41] + 
       (12335*s[42])/4 + (20276*s[43])/11 - (512207*s[44])/264 + 
       (268423*s[45])/132 - (715085*s[46])/44 + (576329*s[47])/792 + 
       (138089*s[48])/792 - (6583991*s[49])/792 + (411572*s[50])/33 + 
       (1665017*s[51])/792 + (1369399*s[52])/792 - (1706239*s[53])/198 + 
       (4074*s[54])/11 - (14344727*s[55])/264 - (3809831*s[56])/264 + 
       (2144891*s[57])/132 - (61213231*s[58])/2376 + (61905337*s[59])/2376 + 
       (628080203*s[60])/4752 - (149559089*s[61])/21384 - 2*s[70] - 2*s[71] + 
       8*s[72] - 2*s[73] - (29*s[74])/3 + (29*s[75])/3 - (40*s[76])/3 - 
       (4*s[77])/3 + 10*s[78] + 204*s[79] - (116*s[80])/3 + 41*s[82] + 
       96*s[84] + 52*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      Omega2[w, u, v]*((105*s[2])/4 + (69*s[3])/8 + (14845*s[4])/16 + 
       (17051*s[5])/22 + (319507*s[6])/176 + (51783143*s[7])/3168 - 
       (6191909*s[8])/4752 - (374839*s[9])/27 - (931741*s[10])/216 - 
       (56689889*s[11])/3168 - (15444007*s[12])/792 - (12291197*s[13])/1056 - 
       (7449221*s[14])/3168 - (694745*s[15])/32 - (3630005*s[16])/132 - 
       (67299967*s[17])/3168 - (520153*s[18])/162 - (2760457*s[19])/1296 - 
       (468379573*s[20])/14256 - (345998723*s[21])/28512 + 
       (245586991*s[22])/28512 + (2520725*s[23])/132 + 
       (124875169*s[24])/7128 - (2894268919*s[25])/128304 + 
       (1622941987*s[26])/128304 + 2*s[30] + 9*s[31] - (5*s[32])/2 + 
       (21*s[33])/8 - 14*s[34] - (23*s[35])/2 - (83*s[36])/2 + 
       (691*s[37])/12 + (1175*s[38])/2 - (9345*s[39])/4 + (10375*s[40])/4 - 
       (4055*s[41])/2 + (13511*s[42])/4 + (89907*s[43])/44 - 
       (376263*s[44])/176 + (609287*s[45])/264 - (4810811*s[46])/264 + 
       (419105*s[47])/528 + (124613*s[48])/528 - (4836803*s[49])/528 + 
       (153155*s[50])/11 + (408719*s[51])/176 + (994699*s[52])/528 - 
       (3828485*s[53])/396 + (32689*s[54])/66 - (32317997*s[55])/528 - 
       (25967167*s[56])/1584 + (40909721*s[57])/2376 - 
       (408721691*s[58])/14256 + (412738049*s[59])/14256 + 
       (469340011*s[60])/3168 - (1015331225*s[61])/128304 - 2*s[67] + s[68] - 
       5*s[69] - s[70] - 2*s[71] + 9*s[72] + 3*s[73] - (45*s[74])/4 + 
       (45*s[75])/4 - 19*s[76] + (5*s[77])/2 + 13*s[78] + 204*s[79] - 
       (185*s[80])/6 + 71*s[82] + 108*s[84] + 52*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Omega2[v, w, u]*
      ((191*s[2])/6 - (37*s[3])/12 + (7493*s[4])/6 + (255245*s[5])/264 + 
       (606305*s[6])/264 + (98310577*s[7])/4752 - (1336573*s[8])/792 - 
       (52669*s[9])/3 - (379111*s[10])/72 - (36065905*s[11])/1584 - 
       (3293557*s[12])/132 - (71305877*s[13])/4752 - (4003411*s[14])/1584 - 
       (11791867*s[15])/432 - (82456519*s[16])/2376 - 
       (126042133*s[17])/4752 - (1272761*s[18])/324 - (1809857*s[19])/648 - 
       (292087181*s[20])/7128 - (214279199*s[21])/14256 + 
       (51886595*s[22])/4752 + (29858041*s[23])/1188 + (729407*s[24])/33 - 
       (928063145*s[25])/32076 + (512672159*s[26])/32076 + s[30]/6 + 
       (49*s[31])/3 - (43*s[32])/6 + (329*s[33])/24 - (163*s[34])/6 - 
       (23*s[35])/3 - (593*s[36])/9 + (185*s[37])/2 + (2329*s[38])/3 - 
       (9418*s[39])/3 + (31256*s[40])/9 - (5443*s[41])/2 + 
       (164791*s[42])/36 + (262681*s[43])/99 - (2251319*s[44])/792 + 
       (188077*s[45])/66 - (4618553*s[46])/198 + (2767201*s[47])/2376 + 
       (290089*s[48])/2376 - (28699849*s[49])/2376 + (1767724*s[50])/99 + 
       (7519379*s[51])/2376 + (6029651*s[52])/2376 - (14670275*s[53])/1188 + 
       (118975*s[54])/198 - (61428889*s[55])/792 - (49091791*s[56])/2376 + 
       (86808371*s[57])/3564 - (795958127*s[58])/21384 + 
       (804658103*s[59])/21384 + (2696329123*s[60])/14256 - 
       (240029371*s[61])/24057 - (4*s[65])/3 - (16*s[66])/3 + (32*s[67])/3 + 
       (20*s[68])/3 + (41*s[69])/3 + (2*s[70])/3 - (2*s[71])/3 + 
       (46*s[72])/3 - (50*s[73])/3 - (103*s[74])/6 + (103*s[75])/6 - 
       16*s[76] - (20*s[77])/3 + (68*s[78])/3 + 268*s[79] - (170*s[80])/3 + 
       100*s[82] + 4*s[83] + 120*s[84] + 52*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Omega2[w, u, v]*
      ((173*s[2])/4 + (61*s[3])/8 + (20549*s[4])/16 + (48855*s[5])/44 + 
       (446195*s[6])/176 + (23949317*s[7])/1056 - (2786383*s[8])/1584 - 
       (693737*s[9])/36 - (429977*s[10])/72 - (26320219*s[11])/1056 - 
       (1791155*s[12])/66 - (17206817*s[13])/1056 - (3356587*s[14])/1056 - 
       (2891395*s[15])/96 - (10093829*s[16])/264 - (10426407*s[17])/352 - 
       (465307*s[18])/108 - (1368875*s[19])/432 - (215546039*s[20])/4752 - 
       (159427333*s[21])/9504 + (113701937*s[22])/9504 + (864731*s[23])/33 + 
       (58212965*s[24])/2376 - (1345124519*s[25])/42768 + 
       (750719267*s[26])/42768 - 2*s[30] + 19*s[31] - (17*s[32])/2 + 
       (79*s[33])/8 - 32*s[34] - (31*s[35])/2 - (451*s[36])/6 + 
       (1135*s[37])/12 + (1665*s[38])/2 - (13285*s[39])/4 + 
       (43865*s[40])/12 - 2856*s[41] + (28865*s[42])/6 + (370585*s[43])/132 - 
       (1590667*s[44])/528 + (794435*s[45])/264 - (6492703*s[46])/264 + 
       (1920701*s[47])/1584 + (272681*s[48])/1584 - (20399363*s[49])/1584 + 
       (620854*s[50])/33 + (5232565*s[51])/1584 + (4220791*s[52])/1584 - 
       (1283344*s[53])/99 + (15424*s[54])/33 - (42974155*s[55])/528 - 
       (11386255*s[56])/528 + (2254455*s[57])/88 - (186244231*s[58])/4752 + 
       (188128585*s[59])/4752 + (1896539327*s[60])/9504 - 
       (448229411*s[61])/42768 - 2*s[65] - 8*s[66] + 14*s[67] + 9*s[68] + 
       19*s[69] + 3*s[70] + 17*s[72] - 21*s[73] - (77*s[74])/4 + 
       (77*s[75])/4 - 17*s[76] - (11*s[77])/2 + 29*s[78] + 244*s[79] - 
       (281*s[80])/6 + 104*s[82] + 6*s[83] + 120*s[84] + 52*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((289*s[2])/36 + (43*s[3])/3 + (36065*s[4])/72 + (45863*s[5])/99 + 
       (848951*s[6])/792 + (5606897*s[7])/594 - (841381*s[8])/1188 - 
       (863747*s[9])/108 - (562871*s[10])/216 - (8142461*s[11])/792 - 
       (8779897*s[12])/792 - (62489365*s[13])/9504 - (1781015*s[14])/1056 - 
       (5495923*s[15])/432 - (153067003*s[16])/9504 - (7599269*s[17])/594 - 
       (774815*s[18])/432 - (145325*s[19])/108 - (5721538*s[20])/297 - 
       (50882135*s[21])/7128 + (35370389*s[22])/7128 + 
       (97476845*s[23])/9504 + (296022821*s[24])/28512 - 
       (3300558215*s[25])/256608 + (1873712939*s[26])/256608 + (7*s[30])/9 + 
       (25*s[31])/9 - (217*s[32])/72 - (25*s[33])/16 + (7*s[34])/12 - 
       (25*s[35])/9 - (1351*s[36])/72 + (1111*s[37])/36 + (2173*s[38])/8 - 
       (330349*s[39])/288 + (376025*s[40])/288 - (299777*s[41])/288 + 
       (481669*s[42])/288 + (298889*s[43])/288 - (157747*s[44])/144 + 
       (181325*s[45])/144 - (2782997*s[46])/288 + (160849*s[47])/432 + 
       (177749*s[48])/864 - (4053683*s[49])/864 + (533207*s[50])/72 + 
       (490199*s[51])/432 + (806521*s[52])/864 - (4473499*s[53])/864 + 
       (5165*s[54])/16 - (9509909*s[55])/288 - (287377*s[56])/32 + 
       (7009349*s[57])/864 - (19411861*s[58])/1296 + (19564117*s[59])/1296 + 
       (411089813*s[60])/5184 - (33876809*s[61])/7776 + (4*s[68])/3 - 
       (4*s[69])/3 + (5*s[70])/6 + s[71]/24 + (14*s[72])/3 - 4*s[73] - 
       (167*s[74])/36 + (167*s[75])/36 - (49*s[76])/9 - (7*s[77])/9 + 
       (31*s[78])/6 + (761*s[79])/6 - (353*s[80])/9 + (701*s[82])/3 + 
       56*s[84] + (160*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*((127*s[2])/9 + (1633*s[3])/48 + 
       (231383*s[4])/288 + (837917*s[5])/1584 + (4557155*s[6])/3168 + 
       (120013753*s[7])/9504 - (1883707*s[8])/1782 - (27593867*s[9])/2592 - 
       (8418283*s[10])/2592 - (132501665*s[11])/9504 - 
       (72978113*s[12])/4752 - (21963979*s[13])/2376 - (6794713*s[14])/4752 - 
       (14281559*s[15])/864 - (100712669*s[16])/4752 - 
       (50725355*s[17])/3168 - (18714289*s[18])/7776 - 
       (13491251*s[19])/7776 - (533825189*s[20])/21384 - 
       (386717653*s[21])/42768 + (568386199*s[22])/85536 + 
       (145294055*s[23])/9504 + (1162213333*s[24])/85536 - 
       (13714337525*s[25])/769824 + (469409591*s[26])/48114 + (55*s[30])/36 + 
       (95*s[31])/18 - (8*s[32])/9 + (19*s[33])/6 - 9*s[34] - (61*s[35])/9 - 
       (595*s[36])/18 + 41*s[37] + (5335*s[38])/12 - (263255*s[39])/144 + 
       (293335*s[40])/144 - (58345*s[41])/36 + (190867*s[42])/72 + 
       (229663*s[43])/144 - (488909*s[44])/288 + (256741*s[45])/144 - 
       (341027*s[46])/24 + (540767*s[47])/864 + (195245*s[48])/864 - 
       (3106117*s[49])/432 + (195011*s[50])/18 + (99925*s[51])/54 + 
       (1290631*s[52])/864 - (1071473*s[53])/144 + (45607*s[54])/144 - 
       (13539661*s[55])/288 - (342359*s[56])/27 + (9300727*s[57])/648 - 
       (43918169*s[58])/1944 + (43961711*s[59])/1944 + 
       (298640491*s[60])/2592 - (433074077*s[61])/69984 + (4*s[68])/3 - 
       (4*s[69])/3 - (4*s[71])/3 + (19*s[72])/3 + 4*s[73] - (157*s[74])/18 + 
       (157*s[75])/18 - (88*s[76])/9 - (7*s[77])/9 + (23*s[78])/3 + 
       (440*s[79])/3 - (73*s[80])/3 + (500*s[82])/3 + 76*s[84] + 
       (160*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*((-13*s[2])/36 - (2119*s[3])/24 - 
       (47659*s[4])/144 - (58895*s[5])/396 - (441337*s[6])/1584 - 
       (26287865*s[7])/9504 + (4811605*s[8])/14256 + (1404373*s[9])/648 + 
       (240953*s[10])/648 + (29968615*s[11])/9504 + (4341223*s[12])/1188 + 
       (22136051*s[13])/9504 - (6542219*s[14])/9504 + (3107767*s[15])/864 + 
       (21103213*s[16])/4752 + (9553495*s[17])/3168 + (518107*s[18])/972 + 
       (1614155*s[19])/3888 + (187778639*s[20])/42768 + 
       (139263253*s[21])/85536 - (117554417*s[22])/85536 - 
       (29023265*s[23])/4752 - (110789353*s[24])/42768 + 
       (1712331011*s[25])/384912 - (849389159*s[26])/384912 - (41*s[30])/18 - 
       (76*s[31])/9 + (257*s[32])/36 - (229*s[33])/24 + (61*s[34])/3 + 
       (271*s[35])/9 + (901*s[36])/18 - (87*s[37])/4 - (667*s[38])/3 + 
       (64363*s[39])/72 - (65639*s[40])/72 + (6046*s[41])/9 - 
       (11303*s[42])/9 - (613597*s[43])/792 + (2451307*s[44])/3168 - 
       (662785*s[45])/792 + (285119*s[46])/44 - (2743237*s[47])/9504 + 
       (358763*s[48])/9504 + (33991777*s[49])/9504 - (482654*s[50])/99 - 
       (6815267*s[51])/9504 - (6362975*s[52])/9504 + (5757899*s[53])/1584 - 
       (75655*s[54])/792 + (70927883*s[55])/3168 + (51984815*s[56])/9504 - 
       (79044793*s[57])/14256 + (852123967*s[58])/85536 - 
       (909265345*s[59])/85536 - (2950699291*s[60])/57024 + 
       (2156090275*s[61])/769824 + (11*s[62])/3 + 2*s[65] + 4*s[66] - 
       (20*s[67])/3 - (10*s[68])/3 - (38*s[69])/3 + (77*s[70])/3 - 
       (9*s[71])/4 - (22*s[72])/3 + (5*s[73])/6 + (50*s[74])/9 - 
       (53*s[75])/9 - (8*s[76])/9 - (191*s[77])/9 - (187*s[78])/6 + 
       90*s[79] - (106*s[80])/3 - s[81]/6 + (334*s[82])/3 - (51*s[83])/4 + 
       (41*s[84])/2 + (164*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*((509*s[2])/36 - 
       (241*s[3])/6 + (16687*s[4])/72 + (37927*s[5])/396 + 
       (322561*s[6])/792 + (35977019*s[7])/9504 - (390487*s[8])/1584 - 
       (160945*s[9])/48 - (140959*s[10])/144 - (1470547*s[11])/352 - 
       (3656245*s[12])/792 - (27481957*s[13])/9504 - (2169197*s[14])/3168 - 
       (4103861*s[15])/864 - (14585599*s[16])/2376 - (42028859*s[17])/9504 - 
       (1017959*s[18])/1296 - (185735*s[19])/648 - (111197785*s[20])/14256 - 
       (82613983*s[21])/28512 + (19819031*s[22])/9504 + 
       (19278835*s[23])/4752 + (19399151*s[24])/4752 - 
       (330638659*s[25])/64152 + (380748983*s[26])/128304 + 3*s[28] + 
       4*s[29] + (17*s[30])/9 + (53*s[31])/9 - (85*s[32])/9 + (31*s[33])/4 + 
       s[34]/2 + (137*s[35])/18 + (25*s[36])/18 - (515*s[37])/18 + 
       (343*s[38])/3 - (14447*s[39])/72 + (23323*s[40])/72 - 
       (11093*s[41])/36 + (10615*s[42])/36 + (267749*s[43])/792 - 
       (72187*s[44])/396 + (69565*s[45])/264 - (672455*s[46])/396 - 
       (15655*s[47])/2376 + (259885*s[48])/1188 - (3861505*s[49])/4752 + 
       (243539*s[50])/198 + (1529105*s[51])/4752 + (730045*s[52])/2376 - 
       (820621*s[53])/1188 + (170017*s[54])/792 - (1366063*s[55])/264 - 
       (8565265*s[56])/4752 + (22497425*s[57])/7128 - 
       (141365099*s[58])/42768 + (133740983*s[59])/42768 + 
       (430937263*s[60])/28512 - (208112051*s[61])/384912 - (28*s[63])/3 + 
       5*s[65] + 12*s[66] - (58*s[67])/3 - (49*s[68])/3 - (77*s[69])/3 + 
       (115*s[70])/3 - (21*s[71])/2 - (29*s[72])/3 + (37*s[73])/3 + 
       (221*s[74])/36 - (149*s[75])/36 - (110*s[76])/9 - (895*s[77])/18 - 
       (73*s[78])/3 + (446*s[79])/3 + (226*s[80])/9 - (716*s[82])/3 - 
       (63*s[83])/4 + (205*s[84])/2 + (164*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]^2*
      ((379*s[2])/48 + (1069*s[3])/96 + (92335*s[4])/192 + 
       (254585*s[5])/528 + (2130871*s[6])/2112 + (351840827*s[7])/38016 - 
       (13638071*s[8])/19008 - (851995*s[9])/108 - (2182999*s[10])/864 - 
       (127885753*s[11])/12672 - (69113237*s[12])/6336 - 
       (244748491*s[13])/38016 - (19978231*s[14])/12672 - 
       (43091129*s[15])/3456 - (37308613*s[16])/2376 - 
       (470971709*s[17])/38016 - (2355757*s[18])/1296 - 
       (6576629*s[19])/5184 - (1077969347*s[20])/57024 - 
       (267310603*s[21])/38016 + (556309657*s[22])/114048 + 
       (193484851*s[23])/19008 + (573447395*s[24])/57024 - 
       (2157264133*s[25])/171072 + (1226989897*s[26])/171072 + (3*s[29])/4 + 
       (11*s[30])/8 + (35*s[31])/12 - (7*s[32])/6 + (89*s[33])/48 - 
       (121*s[34])/24 - (43*s[35])/24 - (995*s[36])/72 + (269*s[37])/9 + 
       (932*s[38])/3 - (61537*s[39])/48 + (206377*s[40])/144 - 
       (13319*s[41])/12 + (265835*s[42])/144 + (1801829*s[43])/1584 - 
       (7664231*s[44])/6336 + (540437*s[45])/396 - (16545145*s[46])/1584 + 
       (7964545*s[47])/19008 + (3951349*s[48])/19008 - 
       (99059407*s[49])/19008 + (1590379*s[50])/198 + 
       (24098813*s[51])/19008 + (19048379*s[52])/19008 - 
       (53181373*s[53])/9504 + (304559*s[54])/1584 - (75231545*s[55])/2112 - 
       (59477795*s[56])/6336 + (9139519*s[57])/1056 - 
       (919480553*s[58])/57024 + (930778265*s[59])/57024 + 
       (9774079549*s[60])/114048 - (1185826949*s[61])/256608 + s[64]/12 - 
       s[65]/6 - (5*s[66])/12 - s[67]/3 - (7*s[68])/3 - s[69]/3 - s[70]/4 + 
       (17*s[71])/24 + (49*s[72])/12 + (17*s[73])/12 - (269*s[74])/48 + 
       (293*s[75])/48 - 7*s[76] - (203*s[77])/24 + (83*s[78])/12 + 
       (587*s[79])/6 - (487*s[80])/18 + 294*s[82] + (3*s[83])/16 + 
       (407*s[84])/8 + 55*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]^2*((535*s[2])/48 + (2389*s[3])/96 + 
       (55457*s[4])/64 + (330145*s[5])/528 + (3329767*s[6])/2112 + 
       (543873071*s[7])/38016 - (21847675*s[8])/19008 - (652597*s[9])/54 - 
       (3283109*s[10])/864 - (22112073*s[11])/1408 - (108640819*s[12])/6336 - 
       (391945495*s[13])/38016 - (7670009*s[14])/4224 - 
       (65833901*s[15])/3456 - (57372031*s[16])/2376 - 
       (708667925*s[17])/38016 - (188581*s[18])/72 - (3683467*s[19])/1728 - 
       (60116909*s[20])/2112 - (1178629325*s[21])/114048 + 
       (858510965*s[22])/114048 + (313628665*s[23])/19008 + 
       (890903593*s[24])/57024 - (10250330443*s[25])/513216 + 
       (5643192715*s[26])/513216 + (9*s[30])/8 + (3*s[31])/2 - (11*s[32])/3 - 
       (97*s[33])/48 - (97*s[34])/24 - (29*s[35])/24 - (545*s[36])/18 + 
       (893*s[37])/24 + (5861*s[38])/12 - (63131*s[39])/32 + 
       (641603*s[40])/288 - (169091*s[41])/96 + (820951*s[42])/288 + 
       (5655733*s[43])/3168 - (2964815*s[44])/1584 + (1613189*s[45])/792 - 
       (5606247*s[46])/352 + (2861059*s[47])/4752 + (3163991*s[48])/9504 - 
       (38463181*s[49])/4752 + (19497803*s[50])/1584 + 
       (18454801*s[51])/9504 + (14863429*s[52])/9504 - (1687451*s[53])/198 + 
       (94913*s[54])/528 - (171563591*s[55])/3168 - (16813937*s[56])/1188 + 
       (386350675*s[57])/28512 - (1052641021*s[58])/42768 + 
       (2141962127*s[59])/85536 + (116710598*s[60])/891 - 
       (10623038293*s[61])/1539648 - s[64]/24 - (5*s[65])/24 - (2*s[66])/3 + 
       (2*s[67])/3 - s[68]/3 + (5*s[69])/3 - s[70]/6 - (15*s[71])/8 + 
       (79*s[72])/12 - (25*s[73])/12 - (371*s[74])/48 + (377*s[75])/48 - 
       3*s[76] - (49*s[77])/24 + (89*s[78])/12 + (605*s[79])/3 - 
       (857*s[80])/18 + 198*s[82] + (3*s[83])/16 + (599*s[84])/8 + 
       55*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Omega2[v, w, u]*
      ((51*s[2])/2 - (67*s[3])/12 + (5621*s[4])/8 + (49711*s[5])/66 + 
       (423479*s[6])/264 + (7569851*s[7])/528 - (7404109*s[8])/7128 - 
       (1983845*s[9])/162 - (1295717*s[10])/324 - (74324671*s[11])/4752 - 
       (39910159*s[12])/2376 - (47466151*s[13])/4752 - 
       (12135925*s[14])/4752 - (8371481*s[15])/432 - (7253710*s[16])/297 - 
       (92587141*s[17])/4752 - (1324951*s[18])/486 - (4029131*s[19])/1944 - 
       (625936247*s[20])/21384 - (469193971*s[21])/42768 + 
       (323906111*s[22])/42768 + (35888191*s[23])/2376 + 
       (335836063*s[24])/21384 - (3746319107*s[25])/192456 + 
       (2139088937*s[26])/192456 + s[30]/3 + (32*s[31])/3 - 6*s[32] + 
       (19*s[33])/6 - 17*s[34] - (37*s[35])/3 - (406*s[36])/9 + 
       (299*s[37])/6 + (1337*s[38])/3 - (22507*s[39])/12 + (74833*s[40])/36 - 
       (6483*s[41])/4 + (98057*s[42])/36 + (616559*s[43])/396 - 
       (344701*s[44])/198 + (235555*s[45])/132 - (1420085*s[46])/99 + 
       (818959*s[47])/1188 + (57221*s[48])/594 - (8728549*s[49])/1188 + 
       (1094609*s[50])/99 + (1113493*s[51])/594 + (1752143*s[52])/1188 - 
       (9072985*s[53])/1188 + (13522*s[54])/99 - (1058135*s[55])/22 - 
       (15057985*s[56])/1188 + (50061313*s[57])/3564 - 
       (60511907*s[58])/2673 + (61146011*s[59])/2673 + 
       (415923491*s[60])/3564 - (599956073*s[61])/96228 - (5*s[65])/3 - 
       (20*s[66])/3 + (32*s[67])/3 + (20*s[68])/3 + (44*s[69])/3 + 
       (8*s[70])/3 + (5*s[71])/3 + (38*s[72])/3 - (46*s[73])/3 - 
       (25*s[74])/2 + (25*s[75])/2 - (26*s[76])/3 - (25*s[77])/3 + 
       (68*s[78])/3 + 152*s[79] - (125*s[80])/3 + 276*s[82] + 5*s[83] + 
       62*s[84] + 56*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      Omega2[u, v, w]*((59*s[2])/2 + (77*s[3])/12 + (8063*s[4])/8 + 
       (110831*s[5])/132 + (522023*s[6])/264 + (27846695*s[7])/1584 - 
       (9915991*s[8])/7128 - (4840591*s[9])/324 - (1484591*s[10])/324 - 
       (91595635*s[11])/4752 - (49946995*s[12])/2376 - 
       (59847067*s[13])/4752 - (11778265*s[14])/4752 - (10075835*s[15])/432 - 
       (70254791*s[16])/2376 - (108421189*s[17])/4752 - (3354647*s[18])/972 - 
       (4408499*s[19])/1944 - (753279497*s[20])/21384 - 
       (559245451*s[21])/42768 + (396485063*s[22])/42768 + 
       (12365377*s[23])/594 + (50205968*s[24])/2673 - 
       (584706379*s[25])/24057 + (1313659069*s[26])/96228 + (10*s[30])/3 + 
       (38*s[31])/3 - 2*s[32] + (101*s[33])/12 - 20*s[34] - (31*s[35])/3 - 
       (478*s[36])/9 + (184*s[37])/3 + (1916*s[38])/3 - (31033*s[39])/12 + 
       (103435*s[40])/36 - (9015*s[41])/4 + (135155*s[42])/36 + 
       (882653*s[43])/396 - (1875271*s[44])/792 + (80506*s[45])/33 - 
       (7799291*s[46])/396 + (2121497*s[47])/2376 + (495059*s[48])/2376 - 
       (23958815*s[49])/2376 + (2980111*s[50])/198 + (6092575*s[51])/2376 + 
       (4944781*s[52])/2376 - (12410851*s[53])/1188 + (51070*s[54])/99 - 
       (17410249*s[55])/264 - (41905529*s[56])/2376 + (69603661*s[57])/3564 - 
       (667111669*s[58])/21384 + (675465811*s[59])/21384 + 
       (2278453949*s[60])/14256 - (1637128753*s[61])/192456 - (2*s[65])/3 - 
       (8*s[66])/3 + (8*s[67])/3 + (8*s[68])/3 + (8*s[69])/3 - (4*s[70])/3 - 
       (4*s[71])/3 + (38*s[72])/3 - (10*s[73])/3 - (27*s[74])/2 + 
       (27*s[75])/2 - (50*s[76])/3 - (7*s[77])/3 + (62*s[78])/3 + 224*s[79] - 
       (122*s[80])/3 + 96*s[82] + 2*s[83] + 104*s[84] + 56*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((219*s[2])/16 + (18611*s[3])/288 + (166025*s[4])/192 + 
       (1075711*s[5])/1584 + (9988093*s[6])/6336 + (543273809*s[7])/38016 - 
       (202424113*s[8])/171072 - (93998995*s[9])/7776 - 
       (7158731*s[10])/1944 - (1786886479*s[11])/114048 - 
       (488757755*s[12])/28512 - (1162348321*s[13])/114048 - 
       (212009683*s[14])/114048 - (197700905*s[15])/10368 - 
       (1373015669*s[16])/57024 - (2115734149*s[17])/114048 - 
       (32402323*s[18])/11664 - (89816021*s[19])/46656 - 
       (14685528659*s[20])/513216 - (10749128641*s[21])/1026432 + 
       (7696587497*s[22])/1026432 + (991888195*s[23])/57024 + 
       (7868135263*s[24])/513216 - (22961760251*s[25])/1154736 + 
       (1593946561*s[26])/144342 + (83*s[30])/36 + (187*s[31])/36 - 
       (5*s[32])/12 + (713*s[33])/288 - (85*s[34])/12 - (847*s[35])/72 - 
       (3287*s[36])/108 + (9347*s[37])/144 + (4472*s[38])/9 - 
       (64719*s[39])/32 + (1954789*s[40])/864 - (501641*s[41])/288 + 
       (2530493*s[42])/864 + (15958667*s[43])/9504 - (8690107*s[44])/4752 + 
       (6069245*s[45])/3168 - (72088903*s[46])/4752 + 
       (11120477*s[47])/14256 + (483889*s[48])/28512 - 
       (108430535*s[49])/14256 + (54948013*s[50])/4752 + 
       (58454051*s[51])/28512 + (46375883*s[52])/28512 - 
       (114654281*s[53])/14256 + (2514251*s[54])/4752 - 
       (241356829*s[55])/4752 - (24444049*s[56])/1782 + 
       (684266147*s[57])/42768 - (6248260523*s[58])/256608 + 
       (1574404619*s[59])/64152 + (20951449975*s[60])/171072 - 
       (30525140263*s[61])/4618944 + s[65]/18 + (2*s[66])/9 - (5*s[67])/9 + 
       (59*s[68])/18 - (79*s[69])/18 + (11*s[70])/18 - s[71]/72 + 
       (289*s[72])/36 - (59*s[73])/36 - (457*s[74])/48 + (457*s[75])/48 - 
       (535*s[76])/36 + (11*s[77])/72 + (367*s[78])/36 + (1121*s[79])/6 - 
       (1087*s[80])/24 + (223*s[82])/3 - s[83]/6 + (497*s[84])/6 + 
       (169*s[85])/3) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*((701*s[2])/48 + (18947*s[3])/288 + 
       (190049*s[4])/192 + (1074085*s[5])/1584 + (11537653*s[6])/6336 + 
       (594148235*s[7])/38016 - (222354835*s[8])/171072 - 
       (25609321*s[9])/1944 - (30388379*s[10])/7776 - 
       (1962940921*s[11])/114048 - (135151307*s[12])/7128 - 
       (1301472379*s[13])/114048 - (210808009*s[14])/114048 - 
       (211990595*s[15])/10368 - (1487583017*s[16])/57024 - 
       (2250207475*s[17])/114048 - (72237335*s[18])/23328 - 
       (90904853*s[19])/46656 - (15846208181*s[20])/513216 - 
       (11608605175*s[21])/1026432 + (8412546995*s[22])/1026432 + 
       (1117109575*s[23])/57024 + (8469677107*s[24])/513216 - 
       (50659037053*s[25])/2309472 + (7007167615*s[26])/577368 + 
       (287*s[30])/36 + (217*s[31])/36 - (7*s[32])/6 + (1343*s[33])/288 - 
       (41*s[34])/6 - (517*s[35])/72 - (2011*s[36])/54 + (1141*s[37])/36 + 
       (44089*s[38])/72 - (226183*s[39])/96 + (2273239*s[40])/864 - 
       (589625*s[41])/288 + (2910533*s[42])/864 + (1787323*s[43])/864 - 
       (3673715*s[44])/1728 + (114281*s[45])/48 - (15853087*s[46])/864 + 
       (4136989*s[47])/5184 + (1377187*s[48])/5184 - (47519071*s[49])/5184 + 
       (6009557*s[50])/432 + (12144215*s[51])/5184 + (10100741*s[52])/5184 - 
       (25057103*s[53])/2592 + (265465*s[54])/432 - (106297451*s[55])/1728 - 
       (86277913*s[56])/5184 + (139718333*s[57])/7776 - 
       (1358868929*s[58])/46656 + (1369050935*s[59])/46656 + 
       (4632521953*s[60])/31104 - (3374199599*s[61])/419904 + (17*s[65])/36 + 
       (17*s[66])/9 - (35*s[67])/9 + (29*s[68])/18 - (169*s[69])/18 - 
       (19*s[70])/18 - (103*s[71])/18 + (289*s[72])/36 + (121*s[73])/36 - 
       (147*s[74])/16 + (147*s[75])/16 - (547*s[76])/36 + (191*s[77])/72 + 
       (229*s[78])/36 + (625*s[79])/3 - (191*s[80])/9 - (2*s[82])/3 - 
       (17*s[83])/12 + (301*s[84])/3 + (169*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*
      ((33*s[2])/4 + (251*s[3])/12 + (22363*s[4])/48 + (148099*s[5])/264 + 
       (583139*s[6])/528 + (98344171*s[7])/9504 - (2648747*s[8])/3564 - 
       (11437537*s[9])/1296 - (3949907*s[10])/1296 - (106038965*s[11])/9504 - 
       (28107205*s[12])/2376 - (66491023*s[13])/9504 - 
       (19254635*s[14])/9504 - (12363539*s[15])/864 - (21066755*s[16])/1188 - 
       (46007609*s[17])/3168 - (1882811*s[18])/972 - (6348985*s[19])/3888 - 
       (914471803*s[20])/42768 - (681121601*s[21])/85536 + 
       (464813653*s[22])/85536 + (47398909*s[23])/4752 + 
       (494381957*s[24])/42768 - (10650079955*s[25])/769824 + 
       (6100074155*s[26])/769824 + (15*s[30])/4 + (17*s[31])/6 + 
       (43*s[32])/24 - (13*s[33])/8 - (5*s[34])/2 - (23*s[35])/4 - 
       (109*s[36])/12 + (7715*s[37])/144 + (3097*s[38])/12 - 
       (53503*s[39])/48 + (59783*s[40])/48 - (15033*s[41])/16 + 
       (77117*s[42])/48 + (500525*s[43])/528 - (1082513*s[44])/1056 + 
       (4074175*s[45])/3168 - (30065311*s[46])/3168 + (1305607*s[47])/3168 + 
       (147373*s[48])/3168 - (14108233*s[49])/3168 + (3866165*s[50])/528 + 
       (1161839*s[51])/1056 + (2747435*s[52])/3168 - (49317341*s[53])/9504 + 
       (39551*s[54])/792 - (104794517*s[55])/3168 - (81526351*s[56])/9504 + 
       (101522987*s[57])/14256 - (620475469*s[58])/42768 + 
       (1259513411*s[59])/85536 + (81659327*s[60])/1056 - 
       (6601393411*s[61])/1539648 - (7*s[62])/8 + s[64]/8 - (13*s[65])/24 - 
       (13*s[66])/6 + (13*s[67])/6 + s[68]/4 + (5*s[69])/6 - (25*s[70])/12 + 
       (11*s[71])/6 + (13*s[72])/2 - (5*s[73])/3 - (131*s[74])/24 + 
       (73*s[75])/12 + (37*s[76])/6 + (4*s[77])/3 + 5*s[78] + 93*s[79] - 
       (3673*s[80])/72 + s[81]/24 + (645*s[82])/2 + 2*s[83] + (55*s[84])/2 + 
       57*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      ((749*s[2])/16 - (3433*s[3])/96 + (322373*s[4])/192 + 
       (130841*s[5])/96 + (595751*s[6])/192 + (98324947*s[7])/3456 - 
       (11734337*s[8])/5184 - (31374725*s[9])/1296 - (9545197*s[10])/1296 - 
       (108026141*s[11])/3456 - (3680123*s[12])/108 - (70717111*s[13])/3456 - 
       (12370601*s[14])/3456 - (130868983*s[15])/3456 - 
       (20677313*s[16])/432 - (4734905*s[17])/128 - (20626417*s[18])/3888 - 
       (62548343*s[19])/15552 - (877949485*s[20])/15552 - 
       (644831219*s[21])/31104 + (467547715*s[22])/31104 + 
       (7270769*s[23])/216 + (237711757*s[24])/7776 - 
       (5545597057*s[25])/139968 + (3066953569*s[26])/139968 - s[28]/4 + 
       s[29]/2 - (5*s[30])/24 + (89*s[31])/3 - (67*s[32])/8 + 
       (265*s[33])/12 - (1237*s[34])/24 - (475*s[35])/24 - (801*s[36])/8 + 
       (16433*s[37])/144 + (4297*s[38])/4 - (208535*s[39])/48 + 
       (228761*s[40])/48 - (180659*s[41])/48 + (75919*s[42])/12 + 
       (1927577*s[43])/528 - (2767151*s[44])/704 + (12049087*s[45])/3168 - 
       (100703923*s[46])/3168 + (10098155*s[47])/6336 + (793343*s[48])/6336 - 
       (106789433*s[49])/6336 + (4322793*s[50])/176 + (27613139*s[51])/6336 + 
       (21757105*s[52])/6336 - (80541811*s[53])/4752 + (736165*s[54])/1584 - 
       (670981471*s[55])/6336 - (523492133*s[56])/19008 + 
       (922220353*s[57])/28512 - (8591243917*s[58])/171072 + 
       (8743724851*s[59])/171072 + (1092279053*s[60])/4224 - 
       (20601972091*s[61])/1539648 + (5*s[63])/2 - s[64]/8 - (23*s[65])/8 - 
       (19*s[66])/2 + (235*s[67])/12 + (91*s[68])/12 + (155*s[69])/6 - 
       (89*s[70])/12 - (13*s[71])/24 + (313*s[72])/12 - (433*s[73])/12 - 
       (425*s[74])/16 + (417*s[75])/16 - (161*s[76])/6 - (85*s[77])/8 + 
       (529*s[78])/12 + 347*s[79] - (4705*s[80])/72 + (85*s[82])/2 + 
       9*s[83] + (307*s[84])/2 + 57*s[85]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*((277*s[2])/48 + 
       (8701*s[3])/96 - (15535*s[4])/192 + (4723*s[5])/132 + 
       (208711*s[6])/2112 - (20383895*s[7])/38016 + (5712745*s[8])/57024 + 
       (1470529*s[9])/2592 - (149117*s[10])/1296 + (28645813*s[11])/38016 + 
       (1367029*s[12])/1188 + (31980695*s[13])/38016 - 
       (24561815*s[14])/38016 + (753577*s[15])/3456 + (113947*s[16])/297 - 
       (805903*s[17])/1408 - (136651*s[18])/1944 + (1838537*s[19])/15552 + 
       (62792879*s[20])/171072 - (41695169*s[21])/342144 - 
       (125570063*s[22])/342144 - (11753827*s[23])/9504 - 
       (46873709*s[24])/85536 + (1997959775*s[25])/1539648 - 
       (561440021*s[26])/1539648 - 3*s[29] - (11*s[30])/6 - (17*s[31])/4 - 
       s[32]/2 - (1081*s[33])/96 + (145*s[34])/12 + (185*s[35])/24 - 
       (119*s[36])/9 - (92*s[37])/9 - (2477*s[38])/24 + (21437*s[39])/96 - 
       (64895*s[40])/288 + (5667*s[41])/32 - (73801*s[42])/288 - 
       (511201*s[43])/3168 + (34313*s[44])/396 - (28277*s[45])/1584 + 
       (1280417*s[46])/3168 - (171883*s[47])/1188 + (1409179*s[48])/9504 + 
       (2431789*s[49])/4752 - (282533*s[50])/1584 - (1931119*s[51])/9504 - 
       (2439379*s[52])/9504 + (6995*s[53])/4752 - (141265*s[54])/792 + 
       (221503*s[55])/3168 + (1105*s[56])/1584 - (31512391*s[57])/9504 + 
       (3513997*s[58])/2376 - (1458757*s[59])/1056 - (82098241*s[60])/28512 - 
       (44977213*s[61])/513216 - s[64]/2 - (25*s[65])/12 - (16*s[66])/3 + 
       (17*s[67])/2 + 4*s[68] + 14*s[69] + (7*s[70])/2 + (11*s[71])/3 + 
       (67*s[72])/12 + (187*s[73])/12 - (157*s[74])/48 + (97*s[75])/48 + 
       (29*s[76])/4 + (31*s[77])/8 + (9*s[78])/4 - (76*s[79])/3 - 
       (112*s[80])/9 + 526*s[82] + (19*s[83])/4 + 23*s[84] + 59*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^3*((185*s[2])/16 - (209*s[3])/96 + 
       (23705*s[4])/64 + (214309*s[5])/528 + (637211*s[6])/704 + 
       (303453833*s[7])/38016 - (32471663*s[8])/57024 - (4415141*s[9])/648 - 
       (5941063*s[10])/2592 - (329118707*s[11])/38016 - 
       (88045075*s[12])/9504 - (69393103*s[13])/12672 - 
       (61793063*s[14])/38016 - (4152727*s[15])/384 - (4797539*s[16])/352 - 
       (416716909*s[17])/38016 - (2959363*s[18])/1944 - 
       (17895895*s[19])/15552 - (2824634611*s[20])/171072 - 
       (2098123481*s[21])/342144 + (1439783629*s[22])/342144 + 
       (25064135*s[23])/3168 + (94772213*s[24])/10692 - 
       (16517196745*s[25])/1539648 + (9470959693*s[26])/1539648 - 
       (5*s[30])/12 + (31*s[31])/12 + (7*s[32])/24 - (113*s[33])/96 - 
       (2*s[34])/3 - (23*s[35])/24 - (599*s[36])/72 + (2357*s[37])/144 + 
       (1301*s[38])/6 - (43651*s[39])/48 + (150955*s[40])/144 - 
       (39875*s[41])/48 + (189485*s[42])/144 + (1371215*s[43])/1584 - 
       (5729645*s[44])/6336 + (3600457*s[45])/3168 - (26428001*s[46])/3168 + 
       (4774843*s[47])/19008 + (5439199*s[48])/19008 - 
       (74346205*s[49])/19008 + (10218239*s[50])/1584 + 
       (17527703*s[51])/19008 + (13614353*s[52])/19008 - 
       (2677459*s[53])/594 + (255305*s[54])/1584 - (183550381*s[55])/6336 - 
       (49143785*s[56])/6336 + (17435927*s[57])/3168 - 
       (715107509*s[58])/57024 + (721357535*s[59])/57024 + 
       (7879794745*s[60])/114048 - (1966441141*s[61])/513216 + (5*s[62])/12 + 
       s[64]/24 + s[65]/8 + s[67]/4 + s[68]/2 - s[69]/2 + (41*s[70])/12 - 
       (17*s[71])/24 + (11*s[72])/4 + (17*s[73])/12 - (137*s[74])/48 + 
       (127*s[75])/48 + s[76]/2 - (43*s[77])/24 + (17*s[78])/12 + 
       (311*s[79])/3 - (2533*s[80])/72 - s[81]/72 + 256*s[82] - (7*s[83])/4 + 
       (75*s[84])/2 + 59*s[85]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*((811*s[2])/48 + (3201*s[3])/32 + 
       (38521*s[4])/64 + (92245*s[5])/132 + (3323593*s[6])/2112 + 
       (155830415*s[7])/12672 - (17226665*s[8])/19008 - (4461463*s[9])/432 - 
       (3033043*s[10])/864 - (168897749*s[11])/12672 - 
       (22357967*s[12])/1584 - (11704919*s[13])/1408 - 
       (33270905*s[14])/12672 - (6522499*s[15])/384 - (22563175*s[16])/1056 - 
       (223638739*s[17])/12672 - (6405895*s[18])/2592 - 
       (9101263*s[19])/5184 - (1448258191*s[20])/57024 - 
       (1106100491*s[21])/114048 + (726308311*s[22])/114048 + 
       (13561723*s[23])/1056 + (385080325*s[24])/28512 - 
       (8447192653*s[25])/513216 + (4951700005*s[26])/513216 + (13*s[30])/4 + 
       (59*s[31])/12 - (11*s[32])/6 - (225*s[33])/32 - (17*s[34])/4 - 
       (153*s[35])/8 - (829*s[36])/18 + (3655*s[37])/144 + (967*s[38])/3 - 
       (48119*s[39])/32 + (477655*s[40])/288 - (125063*s[41])/96 + 
       (635321*s[42])/288 + (4322897*s[43])/3168 - (9494107*s[44])/6336 + 
       (5609621*s[45])/3168 - (21128597*s[46])/1584 + (8569289*s[47])/19008 + 
       (7262027*s[48])/19008 - (124446419*s[49])/19008 + 
       (16381075*s[50])/1584 + (27300571*s[51])/19008 + 
       (20144761*s[52])/19008 - (70378733*s[53])/9504 - (8621*s[54])/396 - 
       (296798849*s[55])/6336 - (77952739*s[56])/6336 + 
       (13099441*s[57])/1584 - (1125246277*s[58])/57024 + 
       (1158216163*s[59])/57024 + (12532265819*s[60])/114048 - 
       (3178401665*s[61])/513216 - (5*s[65])/4 - 5*s[66] + (53*s[67])/6 + 
       (11*s[68])/3 + 14*s[69] + (19*s[70])/3 + (79*s[71])/24 + 
       (47*s[72])/4 - (41*s[73])/4 - (563*s[74])/48 + (551*s[75])/48 - 
       (63*s[76])/4 - (241*s[77])/24 + (269*s[78])/12 + (271*s[79])/6 - 
       (1301*s[80])/72 + 476*s[82] + 6*s[83] + (91*s[84])/2 + 59*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^3*((841*s[2])/48 - (433*s[3])/32 + 
       (40759*s[4])/64 + (145021*s[5])/264 + (2751515*s[6])/2112 + 
       (48540527*s[7])/4224 - (51213817*s[8])/57024 - (12693725*s[9])/1296 - 
       (7806809*s[10])/2592 - (479191825*s[11])/38016 - 
       (130442159*s[12])/9504 - (313586263*s[13])/38016 - 
       (64385005*s[14])/38016 - (52567385*s[15])/3456 - 
       (91766531*s[16])/4752 - (567858055*s[17])/38016 - 
       (1065977*s[18])/486 - (23837525*s[19])/15552 - 
       (3939667385*s[20])/171072 - (2907036835*s[21])/342144 + 
       (2078761847*s[22])/342144 + (62603251*s[23])/4752 + 
       (1058262257*s[24])/85536 - (24470333417*s[25])/1539648 + 
       (13680053597*s[26])/1539648 + s[28]/12 + s[29]/6 + s[30]/6 + 
       (113*s[31])/12 - (7*s[32])/3 + (249*s[33])/32 - (179*s[34])/12 - 
       (95*s[35])/24 - (715*s[36])/24 + (5143*s[37])/144 + (1609*s[38])/4 - 
       (78475*s[39])/48 + (29335*s[40])/16 - (69593*s[41])/48 + 
       (114025*s[42])/48 + (773845*s[43])/528 - (3250127*s[44])/2112 + 
       (5303651*s[45])/3168 - (41652239*s[46])/3168 + (3429857*s[47])/6336 + 
       (1585949*s[48])/6336 - (41838671*s[49])/6336 + (1776999*s[50])/176 + 
       (1166733*s[51])/704 + (8308171*s[52])/6336 - (33261587*s[53])/4752 + 
       (465203*s[54])/1584 - (281207213*s[55])/6336 - 
       (224878267*s[56])/19008 + (333856235*s[57])/28512 - 
       (3503035619*s[58])/171072 + (3539546909*s[59])/171072 + 
       (4091719567*s[60])/38016 - (8870685653*s[61])/1539648 - (2*s[63])/3 + 
       s[64]/8 - (3*s[65])/8 - (5*s[66])/3 + (43*s[67])/12 + (25*s[68])/6 + 
       (10*s[69])/3 + (15*s[70])/4 - (31*s[71])/24 + (95*s[72])/12 - 
       (67*s[73])/12 - (353*s[74])/48 + (373*s[75])/48 - (26*s[76])/3 - 
       (157*s[77])/24 + (119*s[78])/12 + (452*s[79])/3 - (2171*s[80])/72 + 
       196*s[82] - s[83]/4 + (129*s[84])/2 + 59*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      (5*s[2] - (74*s[3])/3 - (245*s[4])/2 + (7297*s[5])/66 + 
       (4117*s[6])/33 + (152861*s[7])/198 + (96251*s[8])/1782 - 
       (242995*s[9])/324 - (165569*s[10])/324 - (199000*s[11])/297 - 
       (489965*s[12])/1188 - (5905*s[13])/1188 - (1313647*s[14])/1188 - 
       (81217*s[15])/54 - (2020111*s[16])/1188 - (2496097*s[17])/1188 - 
       (118123*s[18])/486 - (61687*s[19])/972 - (28670413*s[20])/10692 - 
       (6495017*s[21])/5346 + (4517453*s[22])/10692 - (1044727*s[23])/1188 + 
       (6074575*s[24])/5346 - (8637781*s[25])/24057 + 
       (31452551*s[26])/48114 - (10*s[30])/3 + 5*s[34] + (52*s[35])/3 + 
       (265*s[36])/18 - (541*s[37])/36 - (115*s[38])/3 + (4639*s[39])/24 - 
       (12001*s[40])/72 + (813*s[41])/8 - (23345*s[42])/72 - 
       (17747*s[43])/792 + (17857*s[44])/1584 + (198721*s[45])/792 - 
       (314881*s[46])/396 - (1066931*s[47])/4752 + (1950655*s[48])/4752 + 
       (194801*s[49])/4752 + (73886*s[50])/99 - (769801*s[51])/4752 - 
       (1185427*s[52])/4752 - (734765*s[53])/1188 - (5695*s[54])/99 - 
       (7797785*s[55])/1584 - (2076587*s[56])/1584 - (904721*s[57])/198 + 
       (1045813*s[58])/14256 + (1120355*s[59])/14256 + 
       (270133519*s[60])/28512 - (21067879*s[61])/32076 - (3*s[62])/2 - 
       5*s[68] + 5*s[69] - s[71] + (5*s[74])/2 - (5*s[75])/2 + (20*s[76])/3 - 
       5*s[77] - 10*s[78] + 20*s[79] - (337*s[80])/18 + 374*s[82] + 
       60*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 
       1 - u]*((17*s[2])/3 - 2*s[3] - 58*s[4] + (2405*s[5])/12 + 
       (3071*s[6])/12 + (428569*s[7])/216 - 8*s[8] - (31993*s[9])/18 - 
       (2519*s[10])/3 - (143503*s[11])/72 - (21565*s[12])/12 - 
       (196541*s[13])/216 - (91753*s[14])/72 - (681815*s[15])/216 - 
       (403027*s[16])/108 - (806803*s[17])/216 - (142925*s[18])/324 - 
       (105313*s[19])/324 - (821485*s[20])/162 - (1387073*s[21])/648 + 
       (74759*s[22])/72 + (18107*s[23])/108 + (272387*s[24])/108 - 
       (12049409*s[25])/5832 + (9438797*s[26])/5832 - (5*s[32])/3 + 
       (8*s[34])/3 + (16*s[36])/9 - (122*s[37])/9 - (10*s[38])/3 + 
       (175*s[39])/6 + (103*s[40])/18 - (37*s[41])/2 - (944*s[42])/9 + 
       (26921*s[43])/198 - (31319*s[44])/198 + (82043*s[45])/198 - 
       (191405*s[46])/99 - (199411*s[47])/1188 + (472139*s[48])/1188 - 
       (797183*s[49])/1188 + (301133*s[50])/198 - (82457*s[51])/1188 - 
       (36374*s[52])/297 - (715763*s[53])/594 - (5600*s[54])/99 - 
       (3446261*s[55])/396 - (855859*s[56])/396 - (488921*s[57])/132 - 
       (5802565*s[58])/3564 + (6942799*s[59])/3564 + (132179579*s[60])/7128 - 
       (8540480*s[61])/8019 - 5*s[68] + 5*s[69] - 5*s[77] - (16*s[80])/9 + 
       374*s[82] + 60*s[85]) + HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      (3*s[2] - (65*s[3])/4 - (4689*s[4])/8 - (38701*s[5])/132 - 
       (22646*s[6])/33 - (11043113*s[7])/1584 + (279157*s[8])/396 + 
       (416977*s[9])/72 + (55801*s[10])/36 + (85237*s[11])/11 + 
       (4580087*s[12])/528 + (8283043*s[13])/1584 - (4107*s[14])/176 + 
       (451433*s[15])/48 + (4636975*s[16])/396 + (6786139*s[17])/792 + 
       (252643*s[18])/216 + (30409*s[19])/27 + (31279217*s[20])/2376 + 
       (7256639*s[21])/1584 - (17315695*s[22])/4752 - (16094231*s[23])/1584 - 
       (35677657*s[24])/4752 + (146850475*s[25])/14256 - 
       (76211851*s[26])/14256 - 2*s[31] + s[32] - s[33]/4 + 10*s[34] + 
       22*s[35] + (122*s[36])/3 - (827*s[37])/12 - (749*s[38])/2 + 
       (15599*s[39])/12 - (16519*s[40])/12 + (12197*s[41])/12 - 
       (7491*s[42])/4 - (12655*s[43])/12 + (12599*s[44])/12 - 
       (22679*s[45])/24 + (196571*s[46])/24 - (5060*s[47])/9 + 
       (7177*s[48])/36 + (171899*s[49])/36 - (18754*s[50])/3 - 
       (45575*s[51])/36 - (19169*s[52])/18 + (318899*s[53])/72 - 
       (569*s[54])/12 + (989867*s[55])/36 + (26247*s[56])/4 - 
       (330827*s[57])/36 + (2819629*s[58])/216 - (744445*s[59])/54 - 
       (28942597*s[60])/432 + (3930941*s[61])/1296 - (3*s[62])/2 - 4*s[63] - 
       2*s[67] - 7*s[68] + 7*s[69] + 2*s[70] + (3*s[71])/2 - 4*s[72] + 
       4*s[73] + (15*s[74])/2 - (15*s[75])/2 + 12*s[76] - 9*s[77] - 
       22*s[78] - 84*s[79] - (103*s[80])/6 + 318*s[82] - 24*s[84] + 
       60*s[85]) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((-37*s[2])/2 + (49*s[3])/4 - (905*s[4])/24 - (27145*s[5])/132 - 
       (8947*s[6])/44 - (2842319*s[7])/1584 + (5867*s[8])/132 + 
       (39593*s[9])/24 + (1417*s[10])/3 + (170483*s[11])/88 + 
       (1040891*s[12])/528 + (1807741*s[13])/1584 + (122203*s[14])/176 + 
       (124267*s[15])/48 + (609113*s[16])/198 + (1048241*s[17])/396 + 
       (110429*s[18])/216 + (1835*s[19])/27 + (9836803*s[20])/2376 + 
       (8779855*s[21])/4752 - (1518799*s[22])/1584 - (3562307*s[23])/1584 - 
       (2846003*s[24])/1584 + (90847003*s[25])/42768 - 
       (65727967*s[26])/42768 - 2*s[31] + (3*s[32])/2 - (5*s[33])/4 + 
       4*s[34] + s[35] + (29*s[36])/3 - (95*s[37])/6 - (473*s[38])/3 + 
       (1635*s[39])/4 - (5201*s[40])/12 + (767*s[41])/3 - (1712*s[42])/3 - 
       (47447*s[43])/132 + (7099*s[44])/22 - (9347*s[45])/66 + 
       (79405*s[46])/44 - (18514*s[47])/99 + (19829*s[48])/396 + 
       (140902*s[49])/99 - (41560*s[50])/33 - (165379*s[51])/396 - 
       (142775*s[52])/396 + (159733*s[53])/198 - (10097*s[54])/66 + 
       (226445*s[55])/44 + (56867*s[56])/44 - (1207463*s[57])/396 + 
       (312922*s[58])/99 - (327968*s[59])/99 - (35574145*s[60])/2376 + 
       (1214693*s[61])/2673 - 7*s[68] + 7*s[69] + 2*s[70] - 2*s[72] + 
       2*s[73] + (3*s[74])/2 - (3*s[75])/2 + 2*s[76] - 10*s[77] - 2*s[78] - 
       48*s[79] + (37*s[80])/3 + 318*s[82] - 24*s[84] + 60*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      ((13*s[2])/2 - (401*s[3])/4 - (4373*s[4])/8 - (93*s[5])/2 - 
       (11873*s[6])/24 - (740969*s[7])/144 + (14503*s[8])/24 + 
       (12403*s[9])/3 + (3863*s[10])/4 + (94971*s[11])/16 + 
       (169085*s[12])/24 + (626095*s[13])/144 - (27605*s[14])/48 + 
       (297287*s[15])/48 + (590921*s[16])/72 + (738677*s[17])/144 + 
       (45841*s[18])/54 + (188831*s[19])/216 + (1960597*s[20])/216 + 
       (1238497*s[21])/432 - (380779*s[22])/144 - (72770*s[23])/9 - 
       (96217*s[24])/18 + (7965487*s[25])/972 - (3869353*s[26])/972 - 
       17*s[30] + s[33] + 6*s[34] + 18*s[35] + (209*s[36])/6 - 
       (469*s[37])/6 - (2033*s[38])/6 + (24947*s[39])/24 - (26431*s[40])/24 + 
       (19529*s[41])/24 - (34501*s[42])/24 - (224485*s[43])/264 + 
       (453263*s[44])/528 - (98521*s[45])/132 + (1658545*s[46])/264 - 
       (261787*s[47])/528 + (20061*s[48])/176 + (1955629*s[49])/528 - 
       (152627*s[50])/33 - (1707539*s[51])/1584 - (468751*s[52])/528 + 
       (2440787*s[53])/792 - (46165*s[54])/132 + (31042987*s[55])/1584 + 
       (8044445*s[56])/1584 - (2452541*s[57])/297 + (150187867*s[58])/14256 - 
       (150540217*s[59])/14256 - (161468735*s[60])/3168 + 
       (299188291*s[61])/128304 - 4*s[63] - 2*s[67] - 9*s[68] + 9*s[69] - 
       2*s[70] + (3*s[71])/2 - 2*s[72] + 2*s[73] + 6*s[74] - 6*s[75] + 
       32*s[76] - 6*s[77] - 12*s[78] - 44*s[79] - (89*s[80])/3 + 320*s[82] - 
       24*s[84] + 60*s[85]) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      (s[2]/2 - (303*s[3])/4 - (2773*s[4])/8 + (141*s[5])/4 - 
       (5891*s[6])/24 - (384931*s[7])/144 + (26777*s[8])/72 + 
       (75055*s[9])/36 + (3410*s[10])/9 + (150955*s[11])/48 + 
       (92533*s[12])/24 + (348713*s[13])/144 - (29275*s[14])/48 + 
       (449347*s[15])/144 + (300523*s[16])/72 + (342595*s[17])/144 + 
       (13217*s[18])/36 + (4045*s[19])/8 + (315199*s[20])/72 + 
       (535759*s[21])/432 - (579247*s[22])/432 - (173989*s[23])/36 - 
       (304399*s[24])/108 + (8744039*s[25])/1944 - (3981635*s[26])/1944 - 
       s[30] - 10*s[32] - 2*s[33] + 3*s[34] + s[35] + (29*s[36])/3 - 
       (217*s[37])/6 - (643*s[38])/3 + (7351*s[39])/12 - (2601*s[40])/4 + 
       (5605*s[41])/12 - (10249*s[42])/12 - (6143*s[43])/12 + 
       (11539*s[44])/24 - (992*s[45])/3 + (37925*s[46])/12 - 
       (24679*s[47])/72 + (10655*s[48])/72 + (146047*s[49])/72 - 
       (13543*s[50])/6 - (47359*s[51])/72 - (38633*s[52])/72 + 
       (54535*s[53])/36 - (1186*s[54])/3 + (684271*s[55])/72 + 
       (20153*s[56])/8 - (92323*s[57])/18 + (1207219*s[58])/216 - 
       (1218373*s[59])/216 - (10977637*s[60])/432 + (226079*s[61])/216 - 
       9*s[68] + 9*s[69] - 2*s[70] - 2*s[72] + 2*s[73] + (3*s[74])/2 - 
       (3*s[75])/2 + 2*s[76] - 6*s[77] - 2*s[78] - 48*s[79] + (37*s[80])/3 + 
       320*s[82] - 24*s[84] + 60*s[85]) + HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u]*((31*s[2])/2 + (121*s[3])/4 + (2597*s[4])/4 + 
       (24349*s[5])/88 + (91727*s[6])/88 + (14527415*s[7])/1584 - 
       (1771873*s[8])/2376 - (835825*s[9])/108 - (499141*s[10])/216 - 
       (16355443*s[11])/1584 - (4598393*s[12])/396 - (11470445*s[13])/1584 - 
       (1140361*s[14])/1584 - (1657717*s[15])/144 - (5993939*s[16])/396 - 
       (5749903*s[17])/528 - (236209*s[18])/162 - (1009103*s[19])/648 - 
       (125391053*s[20])/7128 - (85349509*s[21])/14256 + 
       (69327575*s[22])/14256 + (8111195*s[23])/792 + (73487971*s[24])/7128 - 
       (216110327*s[25])/16038 + (111532379*s[26])/16038 + (11*s[30])/2 - 
       3*s[31] + 3*s[32] + (117*s[33])/8 + (9*s[34])/2 - 2*s[35] - 11*s[36] + 
       (88*s[37])/3 + (715*s[38])/2 - (5467*s[39])/4 + (6415*s[40])/4 - 
       (2445*s[41])/2 + (3931*s[42])/2 + (51013*s[43])/44 - 
       (116947*s[44])/88 + (78059*s[45])/66 - (1306141*s[46])/132 + 
       (105733*s[47])/264 + (70687*s[48])/264 - (1431103*s[49])/264 + 
       (333807*s[50])/44 + (367921*s[51])/264 + (321053*s[52])/264 - 
       (1923335*s[53])/396 + (51647*s[54])/132 - (2740025*s[55])/88 - 
       (6801431*s[56])/792 + (13906837*s[57])/1188 - (115298131*s[58])/7128 + 
       (112780111*s[59])/7128 + (130023713*s[60])/1584 - 
       (262454167*s[61])/64152 - (3*s[64])/2 - s[65]/2 + s[67] + 2*s[68] - 
       s[69] + 10*s[70] + (5*s[71])/2 - 4*s[72] - 20*s[73] - (17*s[74])/2 - 
       s[75] + s[76] - 7*s[77] - 14*s[78] + 224*s[79] - (295*s[80])/3 + 
       30*s[82] - 15*s[83] + 90*s[84] + 60*s[85]) + 
     HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*(-s[2]/4 + (197*s[3])/8 + 
       (10989*s[4])/16 + (14029*s[5])/44 + (191347*s[6])/176 + 
       (3396003*s[7])/352 - (3611285*s[8])/4752 - (878653*s[9])/108 - 
       (529729*s[10])/216 - (34415189*s[11])/3168 - (4816115*s[12])/396 - 
       (24080543*s[13])/3168 - (2370245*s[14])/3168 - (3485845*s[15])/288 - 
       (12579935*s[16])/792 - (36286763*s[17])/3168 - (529235*s[18])/324 - 
       (2048257*s[19])/1296 - (264325945*s[20])/14256 - 
       (182968211*s[21])/28512 + (145791175*s[22])/28512 + 
       (1107455*s[23])/99 + (76249681*s[24])/7128 - (1809793519*s[25])/
        128304 + (943187083*s[26])/128304 + 4*s[30] - 3*s[31] + 4*s[32] + 
       (5*s[33])/8 + 9*s[34] - (5*s[35])/2 - (43*s[36])/3 + (205*s[37])/12 + 
       397*s[38] - (5845*s[39])/4 + (20497*s[40])/12 - (5241*s[41])/4 + 
       (6194*s[42])/3 + (15283*s[43])/12 - (68305*s[44])/48 + 
       (32719*s[45])/24 - (87817*s[46])/8 + (55199*s[47])/144 + 
       (48563*s[48])/144 - (851093*s[49])/144 + (100891*s[50])/12 + 
       (214063*s[51])/144 + (187405*s[52])/144 - (65639*s[53])/12 + 
       (1101*s[54])/4 - (560859*s[55])/16 - (1362235*s[56])/144 + 
       (2595143*s[57])/216 - (22928123*s[58])/1296 + (22520117*s[59])/1296 + 
       (78759797*s[60])/864 - (53408753*s[61])/11664 - (3*s[64])/2 - 
       s[65]/2 + s[67] + 2*s[68] - s[69] + 10*s[70] - s[71]/2 - 3*s[72] - 
       17*s[73] - (33*s[74])/4 - s[75]/4 + 18*s[76] - (15*s[77])/2 - 
       13*s[78] + 240*s[79] - (581*s[80])/6 + 30*s[82] - 15*s[83] + 
       90*s[84] + 60*s[85]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*((673*s[2])/72 + (3245*s[3])/144 + 
       (112709*s[4])/288 + (632977*s[5])/1584 + (2835647*s[6])/3168 + 
       (447339997*s[7])/57024 - (48601793*s[8])/85536 - 
       (12962185*s[9])/1944 - (8697667*s[10])/3888 - (485060711*s[11])/
        57024 - (259201583*s[12])/28512 - (307660327*s[13])/57024 - 
       (84571409*s[14])/57024 - (55523495*s[15])/5184 - 
       (382404995*s[16])/28512 - (22802047*s[17])/2112 - 
       (17359471*s[18])/11664 - (27253561*s[19])/23328 - 
       (4135012477*s[20])/256608 - (3073307483*s[21])/513216 + 
       (2112442003*s[22])/513216 + (113490431*s[23])/14256 + 
       (1118647795*s[24])/128304 - (12242590631*s[25])/1154736 + 
       (875211103*s[26])/144342 + (5*s[30])/6 + (41*s[31])/18 - (7*s[32])/9 + 
       (47*s[33])/48 - (19*s[34])/18 - (79*s[35])/36 - (1427*s[36])/108 + 
       (1169*s[37])/108 + (8219*s[38])/36 - (44485*s[39])/48 + 
       (455705*s[40])/432 - (120311*s[41])/144 + (571543*s[42])/432 + 
       (388925*s[43])/432 - (800299*s[44])/864 + (56867*s[45])/48 - 
       (923171*s[46])/108 + (609221*s[47])/2592 + (766169*s[48])/2592 - 
       (10585349*s[49])/2592 + (357421*s[50])/54 + (2366221*s[51])/2592 + 
       (1875949*s[52])/2592 - (1513411*s[53])/324 + (7771*s[54])/108 - 
       (25966901*s[55])/864 - (20322335*s[56])/2592 + (18887101*s[57])/3888 - 
       (294387691*s[58])/23328 + (300961885*s[59])/23328 + 
       (1105325291*s[60])/15552 - (816799477*s[61])/209952 - (4*s[68])/9 + 
       (4*s[69])/9 + (8*s[70])/9 - (3*s[71])/4 + (7*s[72])/2 - s[73]/2 - 
       (245*s[74])/72 + (227*s[75])/72 - (31*s[76])/9 - (83*s[77])/36 + 
       (23*s[78])/18 + (680*s[79])/9 - (115*s[80])/6 + (745*s[82])/3 + 
       42*s[84] + (194*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*((71*s[2])/12 + (1985*s[3])/72 + 
       (31181*s[4])/72 + (314071*s[5])/792 + (1466231*s[6])/1584 + 
       (19569557*s[7])/2376 - (26368073*s[8])/42768 - (13589435*s[9])/1944 - 
       (9053375*s[10])/3888 - (127619581*s[11])/14256 - 
       (273995407*s[12])/28512 - (162509843*s[13])/28512 - 
       (42765341*s[14])/28512 - (14491817*s[15])/1296 - 
       (401145143*s[16])/28512 - (40072921*s[17])/3564 - 
       (18191219*s[18])/11664 - (14214709*s[19])/11664 - 
       (2163945811*s[20])/128304 - (1595340515*s[21])/256608 + 
       (1109931259*s[22])/256608 + (122015801*s[23])/14256 + 
       (583430317*s[24])/64152 - (25837980359*s[25])/2309472 + 
       (14667390905*s[26])/2309472 + (41*s[30])/36 + (41*s[31])/18 + 
       (29*s[32])/18 - (61*s[33])/48 - (25*s[34])/36 - 3*s[35] - 
       (959*s[36])/54 + (637*s[37])/54 + (487*s[38])/2 - (144611*s[39])/144 + 
       (492865*s[40])/432 - (130445*s[41])/144 + (622619*s[42])/432 + 
       (4528787*s[43])/4752 - (4720193*s[44])/4752 + (5697743*s[45])/4752 - 
       (21197513*s[46])/2376 + (3880381*s[47])/14256 + 
       (4118443*s[48])/14256 - (30972275*s[49])/7128 + 
       (16517599*s[50])/2376 + (14337539*s[51])/14256 + (697898*s[52])/891 - 
       (68833049*s[53])/14256 + (83849*s[54])/1188 - (18442069*s[55])/594 - 
       (6433459*s[56])/792 + (10081295*s[57])/1782 - (568751113*s[58])/
        42768 + (289150841*s[59])/21384 + (1588265221*s[60])/21384 - 
       (1031705399*s[61])/256608 - (11*s[68])/18 + (11*s[69])/18 + 
       (8*s[70])/9 - s[71]/2 + 5*s[72] + (2*s[73])/3 - (38*s[74])/9 + 
       (38*s[75])/9 - (38*s[76])/9 - (29*s[77])/9 + (41*s[78])/9 + 
       (286*s[79])/3 - (587*s[80])/27 + (763*s[82])/3 + 42*s[84] + 
       (194*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((70*s[2])/9 - (1459*s[3])/36 - 165*s[4] + 
       (100943*s[5])/792 + (64619*s[6])/792 + (5576677*s[7])/7128 + 
       (260231*s[8])/2673 - (377437*s[9])/486 - (305303*s[10])/486 - 
       (8921081*s[11])/14256 - (3346087*s[12])/14256 - (11375*s[13])/594 - 
       (985874*s[14])/891 - (355105*s[15])/216 - (2749865*s[16])/1584 - 
       (8511979*s[17])/3564 - (959803*s[18])/11664 - (3369821*s[19])/11664 - 
       (20741516*s[20])/8019 - (148769201*s[21])/128304 + 
       (3453319*s[22])/8019 - (2453911*s[23])/1188 + (177494557*s[24])/
        128304 - (186394399*s[25])/577368 + (658127111*s[26])/1154736 - 
       (94*s[30])/9 + (8*s[31])/3 - (5*s[32])/3 + (4*s[33])/3 - 
       (14*s[34])/9 + (136*s[35])/9 + (136*s[36])/27 - (4441*s[37])/108 - 
       (1117*s[38])/12 + (3845*s[39])/12 - (32557*s[40])/108 + 
       (2339*s[41])/12 - (13124*s[42])/27 - (164207*s[43])/1188 + 
       (616229*s[44])/4752 + (127987*s[45])/594 - (21128*s[46])/99 - 
       (3992611*s[47])/14256 + (4442915*s[48])/14256 + (3303503*s[49])/7128 + 
       (133711*s[50])/297 - (2255575*s[51])/7128 - (4410257*s[52])/14256 - 
       (123190*s[53])/297 - (239353*s[54])/792 - (17344291*s[55])/4752 - 
       (4292885*s[56])/7128 - (32392705*s[57])/5346 + 
       (76242725*s[58])/64152 - (60067745*s[59])/64152 + 
       (102705059*s[60])/21384 - (282801451*s[61])/577368 - (2*s[65])/3 - 
       (8*s[66])/3 + 4*s[67] - (70*s[68])/9 + (124*s[69])/9 + (4*s[72])/3 - 
       4*s[73] + (11*s[74])/9 - (11*s[75])/9 + (170*s[76])/9 - 
       (100*s[77])/9 - (38*s[78])/9 - (104*s[79])/9 - (269*s[80])/27 + 
       (1069*s[82])/3 + 2*s[83] - 12*s[84] + (208*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((67*s[2])/3 - (2051*s[3])/36 + (17801*s[4])/36 + (204733*s[5])/396 + 
       (309431*s[6])/264 + (23880755*s[7])/2376 - (838603*s[8])/1188 - 
       (233030*s[9])/27 - (597677*s[10])/216 - (1093277*s[11])/99 - 
       (1045291*s[12])/88 - (34206641*s[13])/4752 - (154485*s[14])/88 - 
       (1448683*s[15])/108 - (81067535*s[16])/4752 - (63900571*s[17])/4752 - 
       (396191*s[18])/216 - (52541*s[19])/36 - (96552179*s[20])/4752 - 
       (108217675*s[21])/14256 + (19076377*s[22])/3564 + 
       (12319273*s[23])/1188 + (78832883*s[24])/7128 - 
       (442271605*s[25])/32076 + (1000657087*s[26])/128304 - s[30]/3 + 
       (38*s[31])/3 - (101*s[32])/9 + (151*s[33])/12 - (71*s[34])/3 + 
       (2*s[35])/3 - (115*s[36])/3 + (191*s[37])/6 + (12331*s[38])/36 - 
       (105151*s[39])/72 + (116695*s[40])/72 - (31679*s[41])/24 + 
       (151937*s[42])/72 + (1059985*s[43])/792 - (1158835*s[44])/792 + 
       (1105039*s[45])/792 - (510295*s[46])/44 + (935377*s[47])/2376 + 
       (915709*s[48])/2376 - (14904547*s[49])/2376 + (596855*s[50])/66 + 
       (1685239*s[51])/1188 + (1275631*s[52])/1188 - (7373791*s[53])/1188 - 
       (37981*s[54])/396 - (46386767*s[55])/1188 - (3946193*s[56])/396 + 
       (3672631*s[57])/396 - (62541991*s[58])/3564 + (128086403*s[59])/7128 + 
       (1368634681*s[60])/14256 - (629697143*s[61])/128304 - (5*s[65])/3 - 
       (20*s[66])/3 + 12*s[67] - (34*s[68])/9 + (232*s[69])/9 + (2*s[71])/3 + 
       (28*s[72])/3 - 16*s[73] - (29*s[74])/3 + (29*s[75])/3 - 6*s[76] - 
       (154*s[77])/9 + (58*s[78])/3 + (308*s[79])/3 - 23*s[80] + 
       (880*s[82])/3 + 5*s[83] + 42*s[84] + (208*s[85])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*
      ((11*s[2])/12 + (35*s[3])/24 - (901*s[4])/48 + (41089*s[5])/264 + 
       (257633*s[6])/1056 + (6343511*s[7])/3168 - (208397*s[8])/3168 - 
       (501739*s[9])/288 - (7363*s[10])/9 - (1439855*s[11])/704 - 
       (4110617*s[12])/2112 - (3244489*s[13])/3168 - (1110775*s[14])/1056 - 
       (883697*s[15])/288 - (11748799*s[16])/3168 - (22571467*s[17])/6336 - 
       (120977*s[18])/288 - (32255*s[19])/96 - (3828427*s[20])/792 - 
       (18317429*s[21])/9504 + (2493869*s[22])/2376 + (3456883*s[23])/6336 + 
       (47383981*s[24])/19008 - (381377155*s[25])/171072 + 
       (266134063*s[26])/171072 - (5*s[30])/6 - (4*s[31])/3 - s[32]/3 - 
       (7*s[33])/4 + (11*s[34])/2 + (16*s[35])/3 + 4*s[36] - (17*s[37])/3 - 
       (137*s[38])/6 + (311*s[39])/12 - (11*s[40])/12 - (335*s[41])/48 - 
       (1553*s[42])/48 + (641*s[43])/12 - (1707*s[44])/32 + (1955*s[45])/8 - 
       (29479*s[46])/24 - (7801*s[47])/96 + (20867*s[48])/96 - 
       (9005*s[49])/32 + (4067*s[50])/4 - (11609*s[51])/288 - 
       (5125*s[52])/96 - (110303*s[53])/144 - (97*s[54])/6 - 
       (170739*s[55])/32 - (426749*s[56])/288 - (347065*s[57])/216 - 
       (3247819*s[58])/2592 + (3321529*s[59])/2592 + (2166353*s[60])/192 - 
       (18982957*s[61])/23328 - s[68]/2 + s[69]/2 + s[70]/2 + s[71] + 
       (17*s[74])/12 - (17*s[75])/12 + (7*s[76])/3 - (7*s[77])/6 - 2*s[78] + 
       12*s[79] - (55*s[80])/3 + 413*s[82] + 70*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*
      ((137*s[2])/12 + (89*s[3])/2 + 485*s[4] + (72603*s[5])/176 + 
       (544145*s[6])/528 + (4718143*s[7])/528 - (3143065*s[8])/4752 - 
       (3263393*s[9])/432 - (1112101*s[10])/432 - (15401291*s[11])/1584 - 
       (16498765*s[12])/1584 - (4919905*s[13])/792 - (310297*s[14])/198 - 
       (97381*s[15])/8 - (24280493*s[16])/1584 - (9740077*s[17])/792 - 
       (2139235*s[18])/1296 - (113609*s[19])/81 - (129938203*s[20])/7128 - 
       (95670221*s[21])/14256 + (4169947*s[22])/891 + (14513347*s[23])/1584 + 
       (142429021*s[24])/14256 - (3124834729*s[25])/256608 + 
       (1766014621*s[26])/256608 - s[30]/3 + (2*s[31])/3 - (13*s[32])/12 + 
       2*s[34] - (2*s[35])/3 - 24*s[36] - (73*s[37])/12 + (6625*s[38])/24 - 
       (53093*s[39])/48 + (60341*s[40])/48 - (48571*s[41])/48 + 
       (75643*s[42])/48 + (52913*s[43])/48 - (35599*s[44])/32 + 
       (65207*s[45])/48 - (19991*s[46])/2 + (22001*s[47])/96 + 
       (40387*s[48])/96 - (477835*s[49])/96 + (93689*s[50])/12 + 
       (306413*s[51])/288 + (81041*s[52])/96 - (130603*s[53])/24 - 
       (527*s[54])/6 - (10031513*s[55])/288 - (285023*s[56])/32 + 
       (425735*s[57])/72 - (12744625*s[58])/864 + (13071181*s[59])/864 + 
       (48072851*s[60])/576 - (8679745*s[61])/1944 - 3*s[68] + 3*s[69] - 
       (3*s[71])/2 + 4*s[72] + 4*s[73] - (13*s[74])/3 + (13*s[75])/3 - 
       (8*s[76])/3 - (11*s[77])/3 + 2*s[78] + 80*s[79] - (43*s[80])/6 + 
       204*s[82] + 48*s[84] + 70*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - u]*((-1285*s[2])/12 + (3587*s[3])/24 - 
       (64333*s[4])/48 - (214279*s[5])/132 - (1620151*s[6])/528 - 
       (257495747*s[7])/9504 + (9667211*s[8])/4752 + (2517409*s[9])/108 + 
       (1523791*s[10])/216 + (92475487*s[11])/3168 + (24456649*s[12])/792 + 
       (174169723*s[13])/9504 + (14493547*s[14])/3168 + 
       (32363333*s[15])/864 + (13669727*s[16])/297 + (357088403*s[17])/9504 + 
       (1759585*s[18])/324 + (4082939*s[19])/1296 + (778696211*s[20])/14256 + 
       (199825231*s[21])/9504 - (408543001*s[22])/28512 - 
       (38751859*s[23])/1188 - (200305213*s[24])/7128 + 
       (1550469787*s[25])/42768 - (898871731*s[26])/42768 + s[28] - 2*s[29] + 
       (16*s[30])/3 - (205*s[31])/3 + (56*s[32])/3 - (1643*s[33])/24 + 
       (395*s[34])/3 + (91*s[35])/6 + (2971*s[36])/18 - (685*s[37])/4 - 
       (2785*s[38])/3 + (12838*s[39])/3 - (81037*s[40])/18 + (7279*s[41])/2 - 
       (58483*s[42])/9 - (335710*s[43])/99 + (5787031*s[44])/1584 - 
       (859591*s[45])/264 + (23367419*s[46])/792 - (8893901*s[47])/4752 + 
       (3550267*s[48])/4752 + (73740275*s[49])/4752 - (9038389*s[50])/396 - 
       (20557381*s[51])/4752 - (15470215*s[52])/4752 + 
       (19589321*s[53])/1188 - (364703*s[54])/396 + (158382047*s[55])/1584 + 
       (122430101*s[56])/4752 - (226619923*s[57])/7128 + 
       (1993894237*s[58])/42768 - (2079262639*s[59])/42768 - 
       (6652532675*s[60])/28512 + (4728764629*s[61])/384912 - 4*s[63] - 
       (3*s[64])/2 + (47*s[65])/6 + (88*s[66])/3 - (143*s[67])/3 - 
       (14*s[68])/3 - (242*s[69])/3 + (181*s[70])/3 + (13*s[71])/6 - 
       (163*s[72])/3 + (239*s[73])/3 + (437*s[74])/12 - (497*s[75])/12 + 
       64*s[76] - (131*s[77])/6 - (311*s[78])/3 - 188*s[79] - (317*s[80])/6 + 
       448*s[82] - (65*s[83])/2 - 117*s[84] + 72*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 1 - u]*
      ((15*s[2])/4 - (2599*s[3])/8 - (25371*s[4])/16 - (31379*s[5])/44 - 
       (353505*s[6])/176 - (18322891*s[7])/1056 + (365797*s[8])/176 + 
       13944*s[9] + (26153*s[10])/8 + (6655839*s[11])/352 + 
       (1890841*s[12])/88 + (13335563*s[13])/1056 - (105029*s[14])/352 + 
       (704183*s[15])/32 + (1832573*s[16])/66 + (21216475*s[17])/1056 + 
       (132091*s[18])/36 + (279035*s[19])/144 + (49243031*s[20])/1584 + 
       (32754341*s[21])/3168 - (3034377*s[22])/352 - (3777569*s[23])/132 - 
       (1458583*s[24])/88 + (367442419*s[25])/14256 - 
       (185322595*s[26])/14256 + 2*s[28] + 16*s[29] - 10*s[30] + 11*s[31] - 
       (15*s[32])/2 + (89*s[33])/8 - 7*s[34] + (63*s[35])/2 + (161*s[36])/2 - 
       (771*s[37])/4 - (1361*s[38])/2 + (12935*s[39])/4 - (13337*s[40])/4 + 
       2433*s[41] - (18627*s[42])/4 - (96873*s[43])/44 + (416661*s[44])/176 - 
       (240791*s[45])/88 + (1890275*s[46])/88 - (320949*s[47])/176 + 
       (234375*s[48])/176 + (1677935*s[49])/176 - (338675*s[50])/22 - 
       (1763555*s[51])/528 - (533547*s[52])/176 + (1543879*s[53])/132 - 
       (48054*s[54])/11 + (12334345*s[55])/176 + (10593515*s[56])/528 - 
       (18857683*s[57])/792 + (163822423*s[58])/4752 - 
       (163176637*s[59])/4752 - (168705263*s[60])/1056 + 
       (419886505*s[61])/42768 - 20*s[63] + 3*s[64] + 8*s[65] + 4*s[66] - 
       12*s[67] + s[68] - 11*s[69] + 112*s[70] - 18*s[71] - 9*s[72] + 
       31*s[73] + (169*s[74])/4 - (67*s[75])/4 + 51*s[76] - (259*s[77])/2 - 
       29*s[78] + 24*s[79] + (113*s[80])/2 + 1518*s[82] - 51*s[83] - 
       72*s[84] + 72*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 1}, 1 - w]*
      ((189*s[2])/4 - (3537*s[3])/8 - (39901*s[4])/16 - (8911*s[5])/11 - 
       (481131*s[6])/176 - (85354147*s[7])/3168 + (14977541*s[8])/4752 + 
       (590845*s[9])/27 + (1243795*s[10])/216 + (93623261*s[11])/3168 + 
       (26342869*s[12])/792 + (63420019*s[13])/3168 - (4261039*s[14])/3168 + 
       (10225949*s[15])/288 + (17493473*s[16])/396 + (11372979*s[17])/352 + 
       (798991*s[18])/162 + (5242585*s[19])/1296 + (691993933*s[20])/14256 + 
       (460281863*s[21])/28512 - (389543563*s[22])/28512 - 
       (17133907*s[23])/396 - (194046151*s[24])/7128 + 
       (5149830769*s[25])/128304 - (2570676001*s[26])/128304 - 30*s[30] + 
       3*s[31] - 13*s[32] - (291*s[33])/8 + 3*s[34] + (51*s[35])/2 + 
       (523*s[36])/6 - (2351*s[37])/12 - (1987*s[38])/2 + (17785*s[39])/4 - 
       (56513*s[40])/12 + (7047*s[41])/2 - (78571*s[42])/12 - 
       (457165*s[43])/132 + (1855105*s[44])/528 - (1035085*s[45])/264 + 
       (2759351*s[46])/88 - (3346715*s[47])/1584 + (2492569*s[48])/1584 + 
       (23143697*s[49])/1584 - (1543349*s[50])/66 - (7424695*s[51])/1584 - 
       (6261109*s[52])/1584 + (1136563*s[53])/66 - (73189*s[54])/22 + 
       (55690565*s[55])/528 + (45047263*s[56])/1584 - (79400153*s[57])/2376 + 
       (713767943*s[58])/14256 - (725928545*s[59])/14256 - 
       (2291356517*s[60])/9504 + (1770688295*s[61])/128304 + 9*s[62] + 
       s[64] + 2*s[65] - 4*s[66] + 6*s[67] - 3*s[68] + 17*s[69] + 56*s[70] - 
       11*s[71] - 51*s[72] - 3*s[73] + (123*s[74])/4 - (129*s[75])/4 + 
       58*s[76] - (89*s[77])/2 - 43*s[78] - 132*s[79] + (193*s[80])/6 - 
       s[81]/3 + 1518*s[82] - 51*s[83] - 72*s[84] + 72*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((-7*s[2])/3 + (209*s[3])/6 + (1845*s[4])/4 + (16801*s[5])/66 + 
       (36337*s[6])/44 + (17363351*s[7])/2376 - (26141*s[8])/44 - 
       (109603*s[9])/18 - (4123*s[10])/2 - (6383213*s[11])/792 - 
       (583651*s[12])/66 - (12744937*s[13])/2376 - (776321*s[14])/792 - 
       (2095877*s[15])/216 - (14785193*s[16])/1188 - (22740221*s[17])/2376 - 
       (185509*s[18])/162 - (440467*s[19])/324 - (51921493*s[20])/3564 - 
       (35983447*s[21])/7128 + (3020191*s[22])/792 + (8706025*s[23])/1188 + 
       (10231429*s[24])/1188 - (83129654*s[25])/8019 + 
       (44405192*s[26])/8019 - (10*s[30])/3 - 8*s[31] + 2*s[32] - 10*s[33] + 
       (68*s[34])/3 - (20*s[35])/3 + (98*s[36])/9 + (208*s[37])/9 + 
       (703*s[38])/3 - 816*s[39] + (8776*s[40])/9 - (1555*s[41])/2 + 
       (10052*s[42])/9 + (97646*s[43])/99 - (179167*s[44])/198 + 
       (245963*s[45])/198 - (568207*s[46])/66 + (55183*s[47])/1188 + 
       (739339*s[48])/1188 - (4915195*s[49])/1188 + (663485*s[50])/99 + 
       (934379*s[51])/1188 + (366055*s[52])/594 - (154391*s[53])/33 + 
       (10267*s[54])/66 - (12132695*s[55])/396 - (9451469*s[56])/1188 + 
       (2302781*s[57])/891 - (129227149*s[58])/10692 + 
       (132697171*s[59])/10692 + (529987951*s[60])/7128 - 
       (373854001*s[61])/96228 - s[62] + 2*s[65] + 8*s[66] - 12*s[67] - 
       (32*s[68])/3 - (52*s[69])/3 + 4*s[70] - (7*s[71])/3 - 4*s[72] + 
       12*s[73] + (16*s[74])/3 - (16*s[75])/3 - (4*s[76])/3 - (8*s[77])/3 - 
       (58*s[78])/3 + (400*s[79])/3 - (328*s[80])/9 + 230*s[82] - 6*s[83] + 
       36*s[84] + 72*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*(-6*s[2] + (215*s[3])/6 + (4859*s[4])/12 + 
       (5807*s[5])/33 + (79051*s[6])/132 + (465679*s[7])/88 - 
       (636277*s[8])/1188 - (235801*s[9])/54 - (33340*s[10])/27 - 
       (4657207*s[11])/792 - (2637343*s[12])/396 - (3204319*s[13])/792 - 
       (247513*s[14])/792 - (486877*s[15])/72 - (1721341*s[16])/198 - 
       (4921525*s[17])/792 - (76180*s[18])/81 - (249287*s[19])/324 - 
       (36163343*s[20])/3564 - (24740983*s[21])/7128 + 
       (19533215*s[22])/7128 + (2719897*s[23])/396 + (20572603*s[24])/3564 - 
       (248728463*s[25])/32076 + (130232231*s[26])/32076 + 2*s[30] - 
       8*s[31] + s[32]/3 - 4*s[33] + 18*s[34] + 2*s[35] + (50*s[36])/3 + 
       (32*s[37])/3 + (719*s[38])/3 - (2491*s[39])/3 + (2869*s[40])/3 - 
       (4451*s[41])/6 + (3460*s[42])/3 + (28865*s[43])/33 - 
       (107725*s[44])/132 + (72311*s[45])/66 - (169563*s[46])/22 + 
       (72901*s[47])/396 + (144973*s[48])/396 - (1446193*s[49])/396 + 
       (385631*s[50])/66 + (110779*s[51])/132 + (275369*s[52])/396 - 
       (136151*s[53])/33 + (26905*s[54])/66 - (10620535*s[55])/396 - 
       (2825147*s[56])/396 + (1256984*s[57])/297 - (40675111*s[58])/3564 + 
       (41135983*s[59])/3564 + (152965177*s[60])/2376 - 
       (112170043*s[61])/32076 + 2*s[65] + 8*s[66] - 12*s[67] - 
       (26*s[68])/3 - (64*s[69])/3 - 2*s[71] - 4*s[72] + 16*s[73] + 3*s[74] - 
       3*s[75] - 2*s[76] + (4*s[77])/3 - 20*s[78] + 72*s[79] - (58*s[80])/3 + 
       230*s[82] - 6*s[83] + 36*s[84] + 72*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((-7*s[2])/3 + (173*s[3])/2 + (2695*s[4])/12 + (6025*s[5])/33 + 
       (72857*s[6])/132 + (10338491*s[7])/2376 - (1178851*s[8])/3564 - 
       (291749*s[9])/81 - (109435*s[10])/81 - (11193931*s[11])/2376 - 
       (1494958*s[12])/297 - (6984401*s[13])/2376 - (2485435*s[14])/2376 - 
       (1291885*s[15])/216 - (9008107*s[16])/1188 - (1632701*s[17])/264 - 
       (201223*s[18])/243 - (705401*s[19])/972 - (98332979*s[20])/10692 - 
       (71010769*s[21])/21384 + (47601569*s[22])/21384 + 
       (4621235*s[23])/1188 + (54691513*s[24])/10692 - 
       (562635833*s[25])/96228 + (322204361*s[26])/96228 + 2*s[30] - 
       8*s[31] + 2*s[32] - 10*s[33] + (68*s[34])/3 - 8*s[35] + 
       (269*s[36])/9 + (20*s[37])/3 + 103*s[38] - (3833*s[39])/12 + 
       (14383*s[40])/36 - (3631*s[41])/12 + (14351*s[42])/36 + 
       (201293*s[43])/396 - (321391*s[44])/792 + (54185*s[45])/66 - 
       (1964621*s[46])/396 - (169579*s[47])/2376 + (1263479*s[48])/2376 - 
       (4835723*s[49])/2376 + (373232*s[50])/99 + (635095*s[51])/2376 + 
       (511237*s[52])/2376 - (3274891*s[53])/1188 + (34055*s[54])/198 - 
       (14652049*s[55])/792 - (11957177*s[56])/2376 - (587705*s[57])/891 - 
       (139281403*s[58])/21384 + (142656961*s[59])/21384 + 
       (614143457*s[60])/14256 - (477331231*s[61])/192456 - (4*s[62])/3 + 
       2*s[65] + 8*s[66] - 12*s[67] - (14*s[68])/3 - (58*s[69])/3 + 4*s[70] - 
       (7*s[71])/3 - 4*s[72] + 12*s[73] + (16*s[74])/3 - (16*s[75])/3 + 
       (10*s[77])/3 - (52*s[78])/3 + 44*s[79] - (68*s[80])/3 + 266*s[82] - 
       6*s[83] + 36*s[84] + 72*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*(-6*s[2] + (229*s[3])/2 + (4373*s[4])/12 + 
       (5299*s[5])/66 + (21755*s[6])/44 + (359757*s[7])/88 - 
       (528479*s[8])/1188 - (87967*s[9])/27 - (27017*s[10])/27 - 
       (3551891*s[11])/792 - (498944*s[12])/99 - (2364473*s[13])/792 - 
       (179831*s[14])/792 - (392147*s[15])/72 - (1366319*s[16])/198 - 
       (4069709*s[17])/792 - (118213*s[18])/162 - (212005*s[19])/324 - 
       (28112089*s[20])/3564 - (18317441*s[21])/7128 + 
       (14675449*s[22])/7128 + (1126381*s[23])/198 + (8025487*s[24])/1782 - 
       (192232735*s[25])/32076 + (98485531*s[26])/32076 + 2*s[30] - 8*s[31] + 
       6*s[32] - 4*s[33] + 18*s[34] + 2*s[35] + (50*s[36])/3 + s[37]/3 + 
       (371*s[38])/3 - (1408*s[39])/3 + 578*s[40] - (2723*s[41])/6 + 
       (2026*s[42])/3 + (6130*s[43])/11 - (22809*s[44])/44 + 
       (49979*s[45])/66 - (341375*s[46])/66 + (2303*s[47])/44 + 
       (44441*s[48])/132 - (295045*s[49])/132 + (259361*s[50])/66 + 
       (200707*s[51])/396 + (50893*s[52])/132 - (283765*s[53])/99 + 
       (8577*s[54])/22 - (7402501*s[55])/396 - (2007389*s[56])/396 + 
       (1002715*s[57])/594 - (26200837*s[58])/3564 + (26683705*s[59])/3564 + 
       (34309325*s[60])/792 - (78705547*s[61])/32076 + 2*s[65] + 8*s[66] - 
       12*s[67] - (20*s[68])/3 - (58*s[69])/3 - 2*s[71] - 4*s[72] + 
       12*s[73] + 3*s[74] - 3*s[75] - 2*s[76] + (10*s[77])/3 - 20*s[78] + 
       72*s[79] - (58*s[80])/3 + 266*s[82] - 6*s[83] + 36*s[84] + 72*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      (16*s[2] + 152*s[3] + (3945*s[4])/4 + 248*s[5] + 1488*s[6] + 
       (395593*s[7])/36 - 1112*s[8] - (26797*s[9])/3 - 2459*s[10] - 
       (148825*s[11])/12 - (113431*s[12])/8 - (633715*s[13])/72 - 
       (14483*s[14])/24 - (488423*s[15])/36 - (1307863*s[16])/72 - 
       (455911*s[17])/36 - (217801*s[18])/108 - (38396*s[19])/27 - 
       (1118909*s[20])/54 - (1545997*s[21])/216 + (136237*s[22])/24 + 
       (139738*s[23])/9 + (210833*s[24])/18 - (31806121*s[25])/1944 + 
       (16571353*s[26])/1944 + s[28] - 2*s[29] - s[30] - 12*s[31] + 8*s[32] - 
       (67*s[33])/4 + 25*s[34] - 8*s[35] + (7*s[36])/3 + (269*s[37])/6 + 
       443*s[38] - (6983*s[39])/4 + (24881*s[40])/12 - (6523*s[41])/4 + 
       (7720*s[42])/3 + (18881*s[43])/12 - (20171*s[44])/12 + 
       (19427*s[45])/12 - (39634*s[46])/3 + (10697*s[47])/18 + 
       (14683*s[48])/36 - (241699*s[49])/36 + (29504*s[50])/3 + 
       (16853*s[51])/9 + (27373*s[52])/18 - (236351*s[53])/36 + 
       (2864*s[54])/3 - (168819*s[55])/4 - (147965*s[56])/12 + 
       (65155*s[57])/4 - (595022*s[58])/27 + (1161835*s[59])/54 + 
       (11591471*s[60])/108 - (5567215*s[61])/972 - 4*s[63] - 2*s[64] + 
       4*s[65] + 12*s[66] - 12*s[67] + 22*s[68] - 28*s[69] + 40*s[70] - 
       4*s[71] - 4*s[72] - 4*s[73] - 3*s[74] + s[75] + 10*s[76] - 28*s[77] - 
       24*s[78] + 288*s[79] - (235*s[80])/3 + 48*s[82] - 18*s[83] + 
       132*s[84] + 72*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - u]*(-6*s[2] + (199*s[3])/2 + (1807*s[4])/2 + 
       (1993*s[5])/11 + (54165*s[6])/44 + (415037*s[7])/44 - 
       (306982*s[8])/297 - (832133*s[9])/108 - (194731*s[10])/108 - 
       (8509207*s[11])/792 - (10011029*s[12])/792 - (767849*s[13])/99 - 
       (8387*s[14])/396 - (199493*s[15])/18 - (3004801*s[16])/198 - 
       (7735759*s[17])/792 - (324233*s[18])/162 - (275279*s[19])/324 - 
       (15549386*s[20])/891 - (20982029*s[21])/3564 + (8699045*s[22])/1782 + 
       (12087467*s[23])/792 + (66819515*s[24])/7128 - 
       (461184749*s[25])/32076 + (236682035*s[26])/32076 + s[30] - 6*s[31] + 
       14*s[32] - (25*s[33])/4 + 21*s[34] - 38*s[35] + 4*s[36] + 36*s[37] + 
       464*s[38] - 1792*s[39] + 2074*s[40] - (3229*s[41])/2 + 
       (10511*s[42])/4 + (16502*s[43])/11 - (70833*s[44])/44 + 
       (34721*s[45])/22 - (284459*s[46])/22 + (31503*s[47])/44 + 
       (6247*s[48])/44 - (70699*s[49])/11 + (104900*s[50])/11 + 
       (127187*s[51])/66 + (72659*s[52])/44 - (208991*s[53])/33 + 
       (11714*s[54])/11 - (2683991*s[55])/66 - (800531*s[56])/66 + 
       (6990007*s[57])/396 - (26151749*s[58])/1188 + (25223975*s[59])/1188 + 
       (13640635*s[60])/132 - (61231349*s[61])/10692 - s[64] + 4*s[65] + 
       12*s[66] - 14*s[67] + 14*s[68] - 30*s[69] + 14*s[70] - 6*s[71] - 
       8*s[72] + 12*s[73] - 4*s[74] + 4*s[75] - 32*s[76] + 4*s[77] - 
       8*s[78] + 264*s[79] - 50*s[80] - s[81]/6 + 48*s[82] - 18*s[83] + 
       132*s[84] + 72*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w]*(44*s[2] - (305*s[3])/12 + (12003*s[4])/8 + 
       (3860*s[5])/3 + (70169*s[6])/24 + (433231*s[7])/16 - 
       (1383595*s[8])/648 - (1868051*s[9])/81 - (580147*s[10])/81 - 
       (12811435*s[11])/432 - (3484985*s[12])/108 - (8346517*s[13])/432 - 
       (1620451*s[14])/432 - (15612337*s[15])/432 - (4935745*s[16])/108 - 
       (15298165*s[17])/432 - (4978441*s[18])/972 - (7319155*s[19])/1944 - 
       (105477875*s[20])/1944 - (77445193*s[21])/3888 + 
       (55637945*s[22])/3888 + (3356207*s[23])/108 + (7106858*s[24])/243 - 
       (655539467*s[25])/17496 + (364952309*s[26])/17496 + (14*s[30])/3 + 
       (64*s[31])/3 - (21*s[32])/2 + (46*s[33])/3 - 36*s[34] + (4*s[35])/3 - 
       (710*s[36])/9 + (599*s[37])/6 + (5663*s[38])/6 - (11648*s[39])/3 + 
       (38732*s[40])/9 - (13499*s[41])/4 + (203551*s[42])/36 + 
       (328051*s[43])/99 - (2804189*s[44])/792 + (239021*s[45])/66 - 
       (2905546*s[46])/99 + (3319993*s[47])/2376 + (407677*s[48])/2376 - 
       (36001291*s[49])/2376 + (8946955*s[50])/396 + (9155423*s[51])/2376 + 
       (7336745*s[52])/2376 - (18636335*s[53])/1188 + (189347*s[54])/396 - 
       (26060819*s[55])/264 - (61499425*s[56])/2376 + 
       (102453899*s[57])/3564 - (988826867*s[58])/21384 + 
       (1006018505*s[59])/21384 + (3399720877*s[60])/14256 - 
       (604641503*s[61])/48114 - (11*s[65])/6 - (13*s[66])/3 + (16*s[67])/3 - 
       (23*s[68])/3 + (37*s[69])/3 - (23*s[70])/3 - s[71]/6 + (64*s[72])/3 - 
       (8*s[73])/3 - 21*s[74] + 21*s[75] - (55*s[76])/3 + (22*s[77])/3 + 
       (112*s[78])/3 + 342*s[79] - 72*s[80] + 208*s[82] + s[83] + 142*s[84] + 
       72*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u]*((115*s[2])/2 - (355*s[3])/6 + 1227*s[4] + 
       (168331*s[5])/132 + (341591*s[6])/132 + (9744815*s[7])/396 - 
       (6354871*s[8])/3564 - (3431371*s[9])/162 - (1093937*s[10])/162 - 
       (63555307*s[11])/2376 - (34177123*s[12])/1188 - 
       (40572247*s[13])/2376 - (10010179*s[14])/2376 - (3592039*s[15])/108 - 
       (98873371*s[16])/2376 - (78159505*s[17])/2376 - (4617829*s[18])/972 - 
       (800870*s[19])/243 - (537800345*s[20])/10692 - 
       (401652877*s[21])/21384 + (279755297*s[22])/21384 + 
       (62999531*s[23])/2376 + (569771201*s[24])/21384 - 
       (801767852*s[25])/24057 + (914141311*s[26])/48114 + 3*s[29] + 
       (14*s[30])/3 + (97*s[31])/3 - (29*s[32])/2 + (173*s[33])/6 - 
       45*s[34] - (14*s[35])/3 - (626*s[36])/9 + (169*s[37])/2 + 
       (2473*s[38])/3 - (39851*s[39])/12 + (133109*s[40])/36 - 
       (11595*s[41])/4 + (173125*s[42])/36 + (1135627*s[43])/396 - 
       (301408*s[44])/99 + (145545*s[45])/44 - (2565229*s[46])/99 + 
       (680635*s[47])/594 + (269333*s[48])/1188 - (3880793*s[49])/297 + 
       (3978731*s[50])/198 + (3957583*s[51])/1188 + (3153697*s[52])/1188 - 
       (16505531*s[53])/1188 + (38591*s[54])/99 - (967742*s[55])/11 - 
       (6839351*s[56])/297 + (21112139*s[57])/891 - (216614309*s[58])/5346 + 
       (109996549*s[59])/2673 + (1512706601*s[60])/7128 - 
       (1073755531*s[61])/96228 + 2*s[64] - s[65]/3 - (7*s[66])/3 - 
       (2*s[67])/3 - (35*s[68])/3 + (19*s[69])/3 - (20*s[70])/3 - 
       (5*s[71])/3 + (40*s[72])/3 + (4*s[73])/3 - 17*s[74] + 17*s[75] - 
       (100*s[76])/3 + (16*s[77])/3 + (40*s[78])/3 + 322*s[79] - 
       (125*s[80])/3 + 208*s[82] + s[83] + 142*s[84] + 72*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((55*s[2])/3 + (1169*s[3])/12 + (35015*s[4])/24 + (123589*s[5])/132 + 
       (649133*s[6])/264 + (104903749*s[7])/4752 - (1486079*s[8])/792 - 
       (334409*s[9])/18 - (197953*s[10])/36 - (38637061*s[11])/1584 - 
       (2375719*s[12])/88 - (77256923*s[13])/4752 - (3524539*s[14])/1584 - 
       (12440035*s[15])/432 - (87484897*s[16])/2376 - 
       (131054977*s[17])/4752 - (340670*s[18])/81 - (1955891*s[19])/648 - 
       (308233109*s[20])/7128 - (223057301*s[21])/14256 + 
       (55044379*s[22])/4752 + (16546733*s[23])/594 + (28044461*s[24])/1188 - 
       (1004007527*s[25])/32076 + (273549415*s[26])/16038 + (2*s[30])/3 + 
       (16*s[31])/3 - (49*s[32])/6 + (10*s[33])/3 - (8*s[34])/3 - 
       (8*s[35])/3 - (392*s[36])/9 + (533*s[37])/6 + (5189*s[38])/6 - 
       (10021*s[39])/3 + (33557*s[40])/9 - (11627*s[41])/4 + 
       (43237*s[42])/9 + (289198*s[43])/99 - (298951*s[44])/99 + 
       (72249*s[45])/22 - (2544133*s[46])/99 + (1407317*s[47])/1188 + 
       (372899*s[48])/1188 - (3863543*s[49])/297 + (7745989*s[50])/396 + 
       (4025809*s[51])/1188 + (1644689*s[52])/594 - (4007990*s[53])/297 + 
       (352919*s[54])/396 - (8473415*s[55])/99 - (6856664*s[56])/297 + 
       (22826069*s[57])/891 - (218465021*s[58])/5346 + 
       (438796705*s[59])/10692 + (746019799*s[60])/3564 - 
       (268791328*s[61])/24057 + (7*s[65])/6 + (5*s[66])/3 - (4*s[67])/3 + 
       (29*s[68])/3 - (25*s[69])/3 + (11*s[70])/3 - (19*s[71])/6 + 
       (16*s[72])/3 - (8*s[73])/3 - (35*s[74])/3 + (35*s[75])/3 - 19*s[76] + 
       (4*s[77])/3 - (4*s[78])/3 + 306*s[79] - 68*s[80] + 164*s[82] + s[83] + 
       150*s[84] + 72*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u]*((89*s[2])/6 + (311*s[3])/2 + (3849*s[4])/2 + 
       (36262*s[5])/33 + (407465*s[6])/132 + (66253301*s[7])/2376 - 
       (2213831*s[8])/891 - (7555189*s[9])/324 - (1128085*s[10])/162 - 
       (73385519*s[11])/2376 - (81510931*s[12])/2376 - (8214149*s[13])/396 - 
       (704617*s[14])/297 - (870521*s[15])/24 - (4102445*s[16])/88 - 
       (82538131*s[17])/2376 - (5007413*s[18])/972 - (988786*s[19])/243 - 
       (144981679*s[20])/2673 - (206449711*s[21])/10692 + 
       (155871965*s[22])/10692 + (6932837*s[23])/198 + 
       (320717381*s[24])/10692 - (3842305861*s[25])/96228 + 
       (2061530239*s[26])/96228 - 3*s[29] - (8*s[30])/3 + (7*s[31])/3 + 
       (31*s[32])/6 + (31*s[33])/6 - (19*s[34])/3 - (16*s[35])/3 - 
       (557*s[36])/9 + (850*s[37])/9 + (3179*s[38])/3 - (12605*s[39])/3 + 
       (41939*s[40])/9 - (10894*s[41])/3 + (217831*s[42])/36 + 
       (359932*s[43])/99 - (3010913*s[44])/792 + (800423*s[45])/198 - 
       (6336709*s[46])/198 + (3661039*s[47])/2376 + (723775*s[48])/2376 - 
       (38968987*s[49])/2376 + (4829939*s[50])/198 + (9979661*s[51])/2376 + 
       (8126801*s[52])/2376 - (19962463*s[53])/1188 + (79645*s[54])/99 - 
       (84226169*s[55])/792 - (7500025*s[56])/264 + (38023649*s[57])/1188 - 
       (362570317*s[58])/7128 + (364518325*s[59])/7128 + 
       (3714750769*s[60])/14256 - (147683219*s[61])/10692 - 2*s[64] - 
       s[65]/3 - s[66]/3 + (14*s[67])/3 + (35*s[68])/3 + (5*s[69])/3 + 
       (20*s[70])/3 - (5*s[71])/3 + (44*s[72])/3 - 8*s[73] - 18*s[74] + 
       18*s[75] - (88*s[76])/3 - (46*s[77])/3 + (44*s[78])/3 + 
       (994*s[79])/3 - (520*s[80])/9 + 164*s[82] + s[83] + 150*s[84] + 
       72*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w]*((-277*s[2])/12 + (553*s[3])/8 + 
       (18945*s[4])/16 - (6568*s[5])/33 + (477409*s[6])/528 + 
       (77678437*s[7])/9504 - (14055463*s[8])/14256 - (2100401*s[9])/324 - 
       (821945*s[10])/648 - (96258343*s[11])/9504 - (15154165*s[12])/1188 - 
       (27043279*s[13])/3168 + (21852785*s[14])/9504 - (2365753*s[15])/288 - 
       (4990195*s[16])/396 - (53911169*s[17])/9504 - (772681*s[18])/972 - 
       (6898991*s[19])/3888 - (542900387*s[20])/42768 - 
       (267974545*s[21])/85536 + (373784189*s[22])/85536 + 
       (10996829*s[23])/792 + (25027252*s[24])/2673 - 
       (5673292817*s[25])/384912 + (2366386349*s[26])/384912 - (4*s[30])/3 - 
       (43*s[31])/3 + (29*s[32])/6 - (103*s[33])/24 + (91*s[34])/3 - 
       s[35]/6 - (641*s[36])/18 - (409*s[37])/36 + (2002*s[38])/3 - 
       (12545*s[39])/6 + (22141*s[40])/9 - (11623*s[41])/6 + 
       (101903*s[42])/36 + (417763*s[43])/198 - (3420371*s[44])/1584 + 
       (1240759*s[45])/792 - (11119829*s[46])/792 + (1573909*s[47])/4752 + 
       (5005909*s[48])/4752 - (44337655*s[49])/4752 + (4246229*s[50])/396 + 
       (9276449*s[51])/4752 + (8413355*s[52])/4752 - (7621481*s[53])/1188 - 
       (158581*s[54])/396 - (65967839*s[55])/1584 - (17335723*s[56])/1584 + 
       (43259665*s[57])/2376 - (109997593*s[58])/4752 + 
       (108313523*s[59])/4752 + (3459111643*s[60])/28512 - 
       (652830755*s[61])/128304 + 6*s[62] - s[64]/2 + (17*s[65])/6 + 
       (28*s[66])/3 - (29*s[67])/3 + (4*s[68])/3 - (56*s[69])/3 + 
       (97*s[70])/3 - (17*s[71])/6 - (47*s[72])/3 - s[73] + s[74]/4 - 
       (19*s[75])/4 - (44*s[76])/3 - (187*s[77])/6 - (101*s[78])/3 + 
       (980*s[79])/3 - (1171*s[80])/18 - s[81]/6 - 152*s[82] - (35*s[83])/2 + 
       153*s[84] + 72*s[85]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((1813*s[2])/72 + (1855*s[3])/48 + 
       (98629*s[4])/96 + (2511917*s[5])/3168 + (3192869*s[6])/1584 + 
       (15516368*s[7])/891 - (119741333*s[8])/85536 - (7149151*s[9])/486 - 
       (2207339*s[10])/486 - (1097867891*s[11])/57024 - 
       (18844420*s[12])/891 - (8963409*s[13])/704 - (133831889*s[14])/57024 - 
       (1636757*s[15])/72 - (557007071*s[16])/19008 - 
       (1273214863*s[17])/57024 - (77764121*s[18])/23328 - 
       (14021077*s[19])/5832 - (2225152015*s[20])/64152 - 
       (6496546403*s[21])/513216 + (4704521785*s[22])/513216 + 
       (128920993*s[23])/6336 + (9689709937*s[24])/513216 - 
       (56391816733*s[25])/2309472 + (15547412339*s[26])/1154736 + 
       (71*s[30])/36 + (163*s[31])/18 - (25*s[32])/18 + (265*s[33])/144 - 
       (95*s[34])/9 - (623*s[35])/36 - (1799*s[36])/54 + (28637*s[37])/432 + 
       (43679*s[38])/72 - (89345*s[39])/36 + (298783*s[40])/108 - 
       (103801*s[41])/48 + (3096697*s[42])/864 + (2504867*s[43])/1188 - 
       (10863791*s[44])/4752 + (22144021*s[45])/9504 - 
       (178935863*s[46])/9504 + (1606991*s[47])/1782 + (1893203*s[48])/7128 - 
       (274924445*s[49])/28512 + (33956821*s[50])/2376 + 
       (70938679*s[51])/28512 + (28674779*s[52])/14256 - 
       (139250141*s[53])/14256 + (2571587*s[54])/4752 - 
       (73218391*s[55])/1188 - (159933463*s[56])/9504 + 
       (96159139*s[57])/4752 - (2586605833*s[58])/85536 + 
       (2572311589*s[59])/85536 + (6527745611*s[60])/42768 - 
       (3154242037*s[61])/384912 - s[62]/3 - (7*s[65])/18 - (14*s[66])/9 + 
       (28*s[67])/9 + (46*s[68])/9 + (10*s[69])/9 + (25*s[70])/9 + 
       (49*s[71])/72 + (191*s[72])/18 - (35*s[73])/6 - (271*s[74])/24 + 
       (271*s[75])/24 - (343*s[76])/18 - (35*s[77])/36 + (311*s[78])/18 + 
       (3811*s[79])/18 - (12703*s[80])/216 + 341*s[82] + (7*s[83])/6 + 
       92*s[84] + (226*s[85])/3) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*((2545*s[2])/72 + (9649*s[3])/144 + 
       (380645*s[4])/288 + (3038621*s[5])/3168 + (1890127*s[6])/792 + 
       (1220366351*s[7])/57024 - (4202129*s[8])/2376 - (5199671*s[9])/288 - 
       (4768877*s[10])/864 - (447868607*s[11])/19008 - 
       (27279775*s[12])/1056 - (885085777*s[13])/57024 - 
       (48417461*s[14])/19008 - (146696399*s[15])/5184 - 
       (1026811847*s[16])/28512 - (1574107031*s[17])/57024 - 
       (15553111*s[18])/3888 - (744851*s[19])/243 - (3622223377*s[20])/
        85536 - (2629051123*s[21])/171072 + (641015821*s[22])/57024 + 
       (91725659*s[23])/3564 + (109866253*s[24])/4752 - 
       (46248780631*s[25])/1539648 + (25335891085*s[26])/1539648 + 
       (11*s[30])/18 + (119*s[31])/9 - (28*s[32])/9 + (86*s[33])/9 - 
       (673*s[34])/36 - (313*s[35])/36 - (1459*s[36])/27 + 
       (11983*s[37])/144 + (18785*s[38])/24 - (57115*s[39])/18 + 
       (95365*s[40])/27 - (396583*s[41])/144 + (3994375*s[42])/864 + 
       (811826*s[43])/297 - (55518767*s[44])/19008 + (9286147*s[45])/3168 - 
       (226855531*s[46])/9504 + (64426321*s[47])/57024 + 
       (14919457*s[48])/57024 - (708067237*s[49])/57024 + 
       (10863517*s[50])/594 + (182973803*s[51])/57024 + 
       (144308735*s[52])/57024 - (361219349*s[53])/28512 + 
       (1367141*s[54])/2376 - (1511320597*s[55])/19008 - 
       (1199428999*s[56])/57024 + (127996739*s[57])/5346 - 
       (19373280611*s[58])/513216 + (19596488135*s[59])/513216 + 
       (66435971653*s[60])/342144 - (23600785597*s[61])/2309472 - 
       (29*s[65])/36 - (29*s[66])/9 + (58*s[67])/9 + (34*s[68])/9 + 
       (64*s[69])/9 + (7*s[70])/9 + s[71]/72 + (259*s[72])/18 - 
       (59*s[73])/18 - (1091*s[74])/72 + (1091*s[75])/72 - (89*s[76])/6 - 
       (169*s[77])/36 + (166*s[78])/9 + (1615*s[79])/6 - (4921*s[80])/72 + 
       253*s[82] + (29*s[83])/12 + (229*s[84])/2 + (226*s[85])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((1285*s[2])/144 + (1541*s[3])/32 + (32285*s[4])/64 + (38329*s[5])/72 + 
       (696109*s[6])/576 + (107770681*s[7])/10368 - (11778895*s[8])/15552 - 
       (34210393*s[9])/3888 - (23432899*s[10])/7776 - 
       (117076783*s[11])/10368 - (15604975*s[12])/1296 - 
       (24510431*s[13])/3456 - (21775579*s[14])/10368 - 
       (16373269*s[15])/1152 - (161014*s[16])/9 - (150563129*s[17])/10368 - 
       (47147623*s[18])/23328 - (72623179*s[19])/46656 - 
       (1001564309*s[20])/46656 - (750431929*s[21])/93312 + 
       (506802965*s[22])/93312 + (4544987*s[23])/432 + 
       (33565453*s[24])/2916 - (5870843285*s[25])/419904 + 
       (3390491597*s[26])/419904 + (145*s[30])/36 + (97*s[31])/36 + 
       (7*s[32])/18 - (773*s[33])/288 - (151*s[34])/36 - (941*s[35])/72 - 
       (2603*s[36])/108 + (8653*s[37])/432 + (10673*s[38])/36 - 
       (357205*s[39])/288 + (1199599*s[40])/864 - (319571*s[41])/288 + 
       (1554311*s[42])/864 + (11040929*s[43])/9504 - (23640835*s[44])/19008 + 
       (12865031*s[45])/9504 - (12497087*s[46])/1188 + 
       (20739605*s[47])/57024 + (21070199*s[48])/57024 - 
       (306419123*s[49])/57024 + (38980093*s[50])/4752 + 
       (71316955*s[51])/57024 + (51692305*s[52])/57024 - 
       (161934815*s[53])/28512 - (26881*s[54])/2376 - 
       (686779261*s[55])/19008 - (59945009*s[56])/6336 + 
       (105424175*s[57])/14256 - (2700395297*s[58])/171072 + 
       (2755028075*s[59])/171072 + (29804988431*s[60])/342144 - 
       (2419352285*s[61])/513216 - (10*s[65])/9 - (40*s[66])/9 + 
       (62*s[67])/9 + (14*s[68])/9 + (128*s[69])/9 + (50*s[70])/9 + 
       (83*s[71])/72 + (275*s[72])/36 - (107*s[73])/12 - (319*s[74])/48 + 
       (319*s[75])/48 - (61*s[76])/36 - (491*s[77])/72 + (557*s[78])/36 + 
       (1355*s[79])/18 - (6083*s[80])/216 + 348*s[82] + (10*s[83])/3 + 
       (71*s[84])/2 + (227*s[85])/3) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u]*((3205*s[2])/144 + (11053*s[3])/288 + 
       (385045*s[4])/576 + (1007245*s[5])/1584 + (9488527*s[6])/6336 + 
       (1454184389*s[7])/114048 - (53518081*s[8])/57024 - 
       (28030711*s[9])/2592 - (4545967*s[10])/1296 - (176166479*s[11])/
        12672 - (35511251*s[12])/2376 - (1019426557*s[13])/114048 - 
       (28272499*s[14])/12672 - (177829739*s[15])/10368 - 
       (308703323*s[16])/14256 - (1965444737*s[17])/114048 - 
       (89977*s[18])/36 - (9093859*s[19])/5184 - (491911679*s[20])/19008 - 
       (3328879607*s[21])/342144 + (2287936271*s[22])/342144 + 
       (398640161*s[23])/28512 + (1183974665*s[24])/85536 - 
       (26680749451*s[25])/1539648 + (15273627217*s[26])/1539648 - 
       (67*s[30])/36 + (355*s[31])/36 + (10*s[32])/9 + (1901*s[33])/288 - 
       (217*s[34])/18 + (65*s[35])/72 - (2233*s[36])/54 + (49*s[37])/12 + 
       (32051*s[38])/72 - (494267*s[39])/288 + (1659625*s[40])/864 - 
       (49383*s[41])/32 + (2134157*s[42])/864 + (15446615*s[43])/9504 - 
       (7967533*s[44])/4752 + (3025955*s[45])/1584 - (138097067*s[46])/9504 + 
       (6831587*s[47])/14256 + (13336441*s[48])/28512 - 
       (104716349*s[49])/14256 + (53436787*s[50])/4752 + 
       (49819769*s[51])/28512 + (38265503*s[52])/28512 - 
       (111812309*s[53])/14256 + (89011*s[54])/2376 - 
       (475096297*s[55])/9504 - (186246275*s[56])/14256 + 
       (905648713*s[57])/85536 - (2824142941*s[58])/128304 + 
       (5767386401*s[59])/256608 + (10277242769*s[60])/85536 - 
       (29759717191*s[61])/4618944 - (55*s[65])/36 - (55*s[66])/9 + 
       (92*s[67])/9 + (38*s[68])/9 + (164*s[69])/9 + (55*s[70])/18 - 
       (29*s[71])/9 + (319*s[72])/36 - (425*s[73])/36 - (1277*s[74])/144 + 
       (1277*s[75])/144 + (85*s[76])/12 - (415*s[77])/72 + (287*s[78])/36 + 
       117*s[79] - (134*s[80])/9 + 298*s[82] + (55*s[83])/12 + 58*s[84] + 
       (227*s[85])/3) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*((32*s[2])/3 + (677*s[3])/12 + (749*s[4])/3 + 
       (4399*s[5])/12 + (33229*s[6])/48 + (712453*s[7])/108 - 
       (562675*s[8])/1296 - (7238929*s[9])/1296 - (1335391*s[10])/648 - 
       (6155119*s[11])/864 - (6518381*s[12])/864 - (1882639*s[13])/432 - 
       (335827*s[14])/216 - (1991291*s[15])/216 - (1239181*s[16])/108 - 
       (2738335*s[17])/288 - (4755401*s[18])/3888 - (4490251*s[19])/3888 - 
       (54613499*s[20])/3888 - (20436797*s[21])/3888 + 
       (13359997*s[22])/3888 + (4815193*s[23])/864 + (59620145*s[24])/7776 - 
       (610396363*s[25])/69984 + (358005745*s[26])/69984 - (4*s[31])/3 - 
       2*s[32] - (35*s[33])/6 + 6*s[34] - 6*s[35] - (7*s[36])/9 + 
       (7*s[37])/2 + (733*s[38])/4 - (2531*s[39])/4 + (26635*s[40])/36 - 
       (1073*s[41])/2 + (59371*s[42])/72 + (255449*s[43])/396 - 
       (548269*s[44])/792 + (30707*s[45])/33 - (610745*s[46])/99 + 
       (55427*s[47])/594 + (800099*s[48])/2376 - (3628723*s[49])/1188 + 
       (1889957*s[50])/396 + (668729*s[51])/1188 + (1033207*s[52])/2376 - 
       (8000831*s[53])/2376 - (27509*s[54])/396 - (17601359*s[55])/792 - 
       (13275767*s[56])/2376 + (15723167*s[57])/7128 - 
       (94579877*s[58])/10692 + (195823291*s[59])/21384 + 
       (749557739*s[60])/14256 - (545733625*s[61])/192456 - (4*s[67])/3 - 
       (19*s[68])/3 - s[69]/3 + 2*s[70] + s[71] + (8*s[72])/3 + 
       (40*s[73])/3 - (4*s[74])/3 + (4*s[75])/3 - (11*s[77])/3 + 2*s[78] + 
       (112*s[79])/3 - (65*s[80])/3 + (669*s[82])/2 + 12*s[84] + 76*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((125*s[2])/6 + (59*s[3])/12 + (2531*s[4])/3 + (58101*s[5])/88 + 
       (879067*s[6])/528 + (68843593*s[7])/4752 - (16055365*s[8])/14256 - 
       (15914153*s[9])/1296 - (2460059*s[10])/648 - (152262919*s[11])/9504 - 
       (166862345*s[12])/9504 - (25238123*s[13])/2376 - 
       (4685851*s[14])/2376 - (8206979*s[15])/432 - (115686889*s[16])/4752 - 
       (19641173*s[17])/1056 - (5327111*s[18])/1944 - (1973099*s[19])/972 - 
       (308559329*s[20])/10692 - (455550473*s[21])/42768 + 
       (326928691*s[22])/42768 + (159930433*s[23])/9504 + 
       (1345061759*s[24])/85536 - (15585018175*s[25])/769824 + 
       (8677676629*s[26])/769824 - (11*s[30])/3 + (22*s[31])/3 - 2*s[32] + 
       (5*s[33])/4 - 9*s[34] - (29*s[35])/3 - 36*s[36] + (137*s[37])/4 + 
       (2309*s[38])/4 - (17587*s[39])/8 + (19683*s[40])/8 - 
       (45899*s[41])/24 + (37505*s[42])/12 + (175701*s[43])/88 - 
       (68960*s[44])/33 + (551527*s[45])/264 - (1110053*s[46])/66 + 
       (513023*s[47])/792 + (182179*s[48])/396 - (14344591*s[49])/1584 + 
       (283359*s[50])/22 + (372055*s[51])/176 + (1350373*s[52])/792 - 
       (3495445*s[53])/396 + (10187*s[54])/88 - (44382049*s[55])/792 - 
       (23277709*s[56])/1584 + (37588775*s[57])/2376 - 
       (375163865*s[58])/14256 + (381666203*s[59])/14256 + 
       (1318443043*s[60])/9504 - (455126755*s[61])/64152 - (2*s[62])/3 - 
       s[65] - 4*s[66] + (20*s[67])/3 - s[68]/3 + (35*s[69])/3 + 
       (8*s[70])/3 - (5*s[71])/3 + 10*s[72] - 10*s[73] - 9*s[74] + 9*s[75] - 
       (16*s[76])/3 - 10*s[77] + (40*s[78])/3 + (628*s[79])/3 - 
       (160*s[80])/3 + (543*s[82])/2 + 3*s[83] + 66*s[84] + 76*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      ((237*s[2])/8 - (1487*s[3])/48 + (347015*s[4])/288 + 
       (1419983*s[5])/1584 + (6728437*s[6])/3168 + (191853793*s[7])/9504 - 
       (1321277*s[8])/792 - (1647443*s[9])/96 - (1506365*s[10])/288 - 
       (140833565*s[11])/6336 - (2147997*s[12])/88 - (278387467*s[13])/
        19008 - (14616443*s[14])/6336 - (11496439*s[15])/432 - 
       (643884127*s[16])/19008 - (489527195*s[17])/19008 - 
       (4795729*s[18])/1296 - (3750239*s[19])/1296 - (1140429289*s[20])/
        28512 - (823048477*s[21])/57024 + (203324141*s[22])/19008 + 
       (456154793*s[23])/19008 + (414640163*s[24])/19008 - 
       (14547052099*s[25])/513216 + (7931091799*s[26])/513216 + (5*s[30])/3 + 
       (83*s[31])/6 - (103*s[32])/12 + (769*s[33])/48 - 22*s[34] - 
       (29*s[35])/12 - (3301*s[36])/72 + (6091*s[37])/72 + (56131*s[38])/72 - 
       (930151*s[39])/288 + (1042595*s[40])/288 - (819473*s[41])/288 + 
       (1354553*s[42])/288 + (265321*s[43])/96 - (287017*s[44])/96 + 
       (224621*s[45])/72 - (2391143*s[46])/96 + (54793*s[47])/48 + 
       (24143*s[48])/96 - (1220591*s[49])/96 + (2766265*s[50])/144 + 
       (347327*s[51])/108 + (46391*s[52])/18 - (3808183*s[53])/288 + 
       (56315*s[54])/144 - (36069245*s[55])/432 - (6335845*s[56])/288 + 
       (10562089*s[57])/432 - (50921309*s[58])/1296 + 
       (102912889*s[59])/2592 + (117113771*s[60])/576 - 
       (501082121*s[61])/46656 - s[65]/12 - s[66]/3 + s[67]/3 + s[68] - 
       s[69]/3 - (5*s[70])/2 - (17*s[71])/12 + 13*s[72] - (47*s[73])/12 - 
       (44*s[74])/3 + (175*s[75])/12 - (35*s[76])/2 - (5*s[77])/2 + 
       (205*s[78])/12 + (997*s[79])/3 - (1403*s[80])/18 + 293*s[82] + 
       s[83]/4 + (255*s[84])/2 + 78*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*Omega2[v, w, u]*(7*s[2] + (343*s[3])/12 + 
       (3741*s[4])/8 + (67819*s[5])/132 + (99059*s[6])/88 + 
       (47422655*s[7])/4752 - (5153663*s[8])/7128 - (686465*s[9])/81 - 
       (236512*s[10])/81 - (51339005*s[11])/4752 - (27370511*s[12])/2376 - 
       (10730891*s[13])/1584 - (9699359*s[14])/4752 - (1966375*s[15])/144 - 
       (13581995*s[16])/792 - (66078043*s[17])/4752 - (470092*s[18])/243 - 
       (2858635*s[19])/1944 - (442454575*s[20])/21384 - 
       (331275509*s[21])/42768 + (223892065*s[22])/42768 + 
       (3950371*s[23])/396 + (118649587*s[24])/10692 - 
       (2570758435*s[25])/192456 + (1487039869*s[26])/192456 + s[30]/3 + 
       (2*s[31])/3 - (13*s[32])/6 - (15*s[33])/4 + (10*s[34])/3 - 
       (13*s[35])/3 - (137*s[36])/9 + (325*s[37])/18 + (779*s[38])/3 - 
       (13331*s[39])/12 + (45473*s[40])/36 - (11963*s[41])/12 + 
       (57889*s[42])/36 + (412123*s[43])/396 - (868535*s[44])/792 + 
       (539945*s[45])/396 - (331318*s[46])/33 + (721297*s[47])/2376 + 
       (760567*s[48])/2376 - (11375005*s[49])/2376 + (769762*s[50])/99 + 
       (2551745*s[51])/2376 + (2034881*s[52])/2376 - (539272*s[53])/99 + 
       (6977*s[54])/66 - (27704599*s[55])/792 - (22108319*s[56])/2376 + 
       (12104291*s[57])/1782 - (323641741*s[58])/21384 + 
       (328395829*s[59])/21384 + (1184659297*s[60])/14256 - 
       (111115739*s[61])/24057 + 2*s[70] + 4*s[72] - 2*s[73] - (25*s[74])/6 + 
       (25*s[75])/6 - 4*s[76] - (8*s[77])/3 + (10*s[78])/3 + (316*s[79])/3 - 
       (293*s[80])/9 + 414*s[82] + 48*s[84] + 80*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[u, v, w]*
      ((58*s[2])/3 + (395*s[3])/12 + (22769*s[4])/24 + (21613*s[5])/33 + 
       (445553*s[6])/264 + (72469123*s[7])/4752 - (8929903*s[8])/7128 - 
       (2085701*s[9])/162 - (1289663*s[10])/324 - (79652941*s[11])/4752 - 
       (43636543*s[12])/2376 - (17478823*s[13])/1584 - (8632747*s[14])/4752 - 
       (2909435*s[15])/144 - (20322097*s[16])/792 - (93351911*s[17])/4752 - 
       (689480*s[18])/243 - (4257263*s[19])/1944 - (646644401*s[20])/21384 - 
       (468278737*s[21])/42768 + (343095509*s[22])/42768 + 
       (1790483*s[23])/99 + (88307779*s[24])/5346 - (4111930289*s[25])/
        192456 + (2254496681*s[26])/192456 + (20*s[31])/3 - s[32]/2 + 
       4*s[33] - (25*s[34])/3 - s[35] - (316*s[36])/9 + (659*s[37])/18 + 
       (1618*s[38])/3 - (4367*s[39])/2 + (44165*s[40])/18 - (11647*s[41])/6 + 
       (56803*s[42])/18 + (385639*s[43])/198 - (808853*s[44])/396 + 
       (882967*s[45])/396 - (2302133*s[46])/132 + (412721*s[47])/594 + 
       (95101*s[48])/297 - (10460467*s[49])/1188 + (1329461*s[50])/99 + 
       (2575823*s[51])/1188 + (2079443*s[52])/1188 - (3683567*s[53])/396 + 
       (19193*s[54])/66 - (23338957*s[55])/396 - (18467111*s[56])/1188 + 
       (13860590*s[57])/891 - (290263591*s[58])/10692 + 
       (147007679*s[59])/5346 + (127134707*s[60])/891 - 
       (1463454989*s[61])/192456 - 2*s[71] + 8*s[72] + 2*s[73] - 
       (19*s[74])/2 + (19*s[75])/2 - (28*s[76])/3 - (8*s[77])/3 + 
       (20*s[78])/3 + (608*s[79])/3 - (379*s[80])/9 + 192*s[82] + 96*s[84] + 
       80*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - v]*((115*s[2])/3 + (637*s[3])/6 + (9071*s[4])/6 + 
       (38068*s[5])/33 + (365017*s[6])/132 + (7438714*s[7])/297 - 
       (1197125*s[8])/594 - (2280983*s[9])/108 - (712549*s[10])/108 - 
       (2422341*s[11])/88 - (23850923*s[12])/792 - (10698211*s[13])/594 - 
       (427747*s[14])/132 - (3590617*s[15])/108 - (50148899*s[16])/1188 - 
       (77246843*s[17])/2376 - (129178*s[18])/27 - (129947*s[19])/36 - 
       (14824985*s[20])/297 - (64934803*s[21])/3564 + (23390723*s[22])/1782 + 
       (69865109*s[23])/2376 + (193970951*s[24])/7128 - 
       (280365229*s[25])/8019 + (154993735*s[26])/8019 - s[30]/3 + 
       (22*s[31])/3 + (16*s[32])/3 - (29*s[33])/12 - (23*s[34])/3 - 
       (44*s[35])/3 - (518*s[36])/9 + (171*s[37])/2 + (2743*s[38])/3 - 
       (10591*s[39])/3 + (35231*s[40])/9 - 3042*s[41] + (182119*s[42])/36 + 
       (304165*s[43])/99 - (317869*s[44])/99 + (460001*s[45])/132 - 
       (10786189*s[46])/396 + (1463423*s[47])/1188 + (426035*s[48])/1188 - 
       (4130600*s[49])/297 + (4122695*s[50])/198 + (1049020*s[51])/297 + 
       (851923*s[52])/297 - (17074865*s[53])/1188 + (119995*s[54])/198 - 
       (18022933*s[55])/198 - (7181147*s[56])/297 + (93045539*s[57])/3564 - 
       (229641299*s[58])/5346 + (462801661*s[59])/10692 + 
       (1583630573*s[60])/7128 - (2278188617*s[61])/192456 - s[65]/3 - 
       (4*s[66])/3 + (8*s[67])/3 + (8*s[68])/3 + (8*s[69])/3 + (8*s[70])/3 - 
       (5*s[71])/3 + (28*s[72])/3 + (16*s[73])/3 - (44*s[74])/3 + 
       (44*s[75])/3 - 12*s[76] + (28*s[77])/3 + (26*s[78])/3 + 272*s[79] - 
       (185*s[80])/3 + 240*s[82] + s[83] + 138*s[84] + 80*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((61*s[2])/3 + (251*s[3])/2 + (3337*s[4])/2 + (37765*s[5])/33 + 
       (386189*s[6])/132 + (62230811*s[7])/2376 - (7657571*s[8])/3564 - 
       (1783213*s[9])/81 - (552980*s[10])/81 - (68471153*s[11])/2376 - 
       (74949991*s[12])/2376 - (1253885*s[13])/66 - (1801907*s[14])/594 - 
       (2505043*s[15])/72 - (34953761*s[16])/792 - (80520691*s[17])/2376 - 
       (4701443*s[18])/972 - (3798613*s[19])/972 - (553534357*s[20])/10692 - 
       (100395065*s[21])/5346 + (36643625*s[22])/2673 + (2057545*s[23])/66 + 
       (152382649*s[24])/5346 - (7086137537*s[25])/192456 + 
       (3885888845*s[26])/192456 - (5*s[30])/3 + (22*s[31])/3 + 
       (32*s[32])/3 + (35*s[33])/12 - (31*s[34])/3 - (16*s[35])/3 - 
       (566*s[36])/9 + (1691*s[37])/18 + (2819*s[38])/3 - (11204*s[39])/3 + 
       (37286*s[40])/9 - (9703*s[41])/3 + (193819*s[42])/36 + 
       (324814*s[43])/99 - (2702141*s[44])/792 + (1432087*s[45])/396 - 
       (11362037*s[46])/396 + (3101509*s[47])/2376 + (801013*s[48])/2376 - 
       (35172589*s[49])/2376 + (4339205*s[50])/198 + (8798267*s[51])/2376 + 
       (7132373*s[52])/2376 - (4508983*s[53])/297 + (55129*s[54])/99 - 
       (76037519*s[55])/792 - (6701747*s[56])/264 + (32796491*s[57])/1188 - 
       (322045465*s[58])/7128 + (326219083*s[59])/7128 + 
       (3333314173*s[60])/14256 - (88078339*s[61])/7128 - s[65]/3 - 
       (4*s[66])/3 + (8*s[67])/3 + (20*s[68])/3 - (4*s[69])/3 + (8*s[70])/3 - 
       (5*s[71])/3 + (44*s[72])/3 - 8*s[73] - 16*s[74] + 16*s[75] - 
       (52*s[76])/3 + (32*s[77])/3 + (74*s[78])/3 + (904*s[79])/3 - 
       (511*s[80])/9 + 240*s[82] + s[83] + 138*s[84] + 80*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((-401*s[2])/24 - (5897*s[3])/48 - (48515*s[4])/96 + (41159*s[5])/176 - 
       (206519*s[6])/1056 + (4326299*s[7])/6336 + (6800069*s[8])/28512 - 
       (576839*s[9])/648 - (129089*s[10])/81 + (2110277*s[11])/19008 + 
       (3326555*s[12])/2376 + (32521535*s[13])/19008 - 
       (55438003*s[14])/19008 - (5155679*s[15])/1728 - (6359663*s[16])/2376 - 
       (99468709*s[17])/19008 - (663971*s[18])/3888 - (3902177*s[19])/7776 - 
       (412557245*s[20])/85536 - (341803453*s[21])/171072 + 
       (70750565*s[22])/171072 - (31819981*s[23])/4752 + 
       (85546247*s[24])/42768 + (1164256339*s[25])/769824 + 
       (90511925*s[26])/769824 - s[28] - 2*s[29] - (31*s[30])/12 - 
       (8*s[31])/3 - (85*s[32])/12 + (83*s[33])/24 + (277*s[34])/12 - 
       (107*s[35])/12 + (367*s[36])/18 - (1045*s[37])/24 - 386*s[38] + 
       (16203*s[39])/16 - (149531*s[40])/144 + (34459*s[41])/48 - 
       (199897*s[42])/144 - (1294813*s[43])/1584 + (2112443*s[44])/3168 - 
       (39671*s[45])/176 + (1271287*s[46])/396 - (5326129*s[47])/9504 + 
       (2652413*s[48])/9504 + (26158315*s[49])/9504 - (1127327*s[50])/792 - 
       (8527235*s[51])/9504 - (9768185*s[52])/9504 + (3737429*s[53])/4752 - 
       (380447*s[54])/396 + (14846833*s[55])/3168 + (22814185*s[56])/9504 - 
       (13419938*s[57])/891 + (730255103*s[58])/85536 - 
       (690982289*s[59])/85536 - (1175764087*s[60])/57024 + 
       (500284295*s[61])/769824 + 7*s[63] - (3*s[64])/2 - (3*s[65])/2 - 
       4*s[66] + (31*s[67])/6 - (115*s[68])/6 + 15*s[69] - (136*s[70])/3 + 
       (109*s[71])/12 - (49*s[72])/6 + (19*s[73])/6 - (31*s[74])/24 - 
       (35*s[75])/24 + (11*s[76])/3 + (201*s[77])/4 - (91*s[78])/6 + 
       (89*s[79])/3 - (345*s[80])/4 + 786*s[82] + (3*s[83])/4 - 
       (85*s[84])/2 + 82*s[85]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((1111*s[2])/24 - (1591*s[3])/16 + 
       (24195*s[4])/32 + (110171*s[5])/176 + (1463945*s[6])/1056 + 
       (249979219*s[7])/19008 - (30110797*s[8])/28512 - 
       (14576713*s[9])/1296 - (4652759*s[10])/1296 - (272788249*s[11])/
        19008 - (36370567*s[12])/2376 - (19700371*s[13])/2112 - 
       (27120985*s[14])/19008 - (3439141*s[15])/192 - (35449393*s[16])/1584 - 
       (336906407*s[17])/19008 - (556295*s[18])/243 - (15353141*s[19])/7776 - 
       (2205707447*s[20])/85536 - (1646717035*s[21])/171072 + 
       (1201036055*s[22])/171072 + (8447675*s[23])/528 + 
       (598147175*s[24])/42768 - (13974033587*s[25])/769824 + 
       (7721965013*s[26])/769824 - s[30]/12 + 31*s[31] - (253*s[32])/12 + 
       (481*s[33])/12 - (671*s[34])/12 + (49*s[35])/12 - (1697*s[36])/18 + 
       (1387*s[37])/36 + (5525*s[38])/12 - (34977*s[39])/16 + 
       (337489*s[40])/144 - (92359*s[41])/48 + (477815*s[42])/144 + 
       (2959823*s[43])/1584 - (3205289*s[44])/1584 + (644455*s[45])/396 - 
       (8191339*s[46])/528 + (3395731*s[47])/4752 - (258589*s[48])/2376 - 
       (42235891*s[49])/4752 + (9799843*s[50])/792 + (2546531*s[51])/1188 + 
       (3723559*s[52])/2376 - (2270021*s[53])/264 - (41651*s[54])/66 - 
       (6944417*s[55])/132 - (60025853*s[56])/4752 + (216124859*s[57])/
        14256 - (1024767181*s[58])/42768 + (541103063*s[59])/21384 + 
       (3610517239*s[60])/28512 - (4660787861*s[61])/769824 - (3*s[62])/2 - 
       s[64]/2 - (14*s[65])/3 - (44*s[66])/3 + 26*s[67] + (3*s[68])/2 + 
       38*s[69] - 28*s[70] + (35*s[71])/6 + (155*s[72])/6 - (105*s[73])/2 - 
       (449*s[74])/24 + (485*s[75])/24 - (109*s[76])/6 + (119*s[77])/12 + 
       (109*s[78])/2 + 118*s[79] + (73*s[80])/18 + s[81]/6 + 406*s[82] + 
       (41*s[83])/4 + (257*s[84])/2 + 82*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Omega2[w, u, v]*
      (7*s[2] + (57*s[3])/2 + 483*s[4] + (5300*s[5])/11 + (96831*s[6])/88 + 
       (970913*s[7])/99 - (1741645*s[8])/2376 - (1798421*s[9])/216 - 
       (151669*s[10])/54 - (16870903*s[11])/1584 - (18111257*s[12])/1584 - 
       (2671913*s[13])/396 - (369449*s[14])/198 - (478669*s[15])/36 - 
       (13274185*s[16])/792 - (2361379*s[17])/176 - (1216405*s[18])/648 - 
       (932969*s[19])/648 - (71960359*s[20])/3564 - (13262237*s[21])/1782 + 
       (36717559*s[22])/7128 + (15840745*s[23])/1584 + 
       (154727873*s[24])/14256 - (1702948345*s[25])/128304 + 
       (968895493*s[26])/128304 + s[30] + 2*s[31] - (3*s[32])/2 + s[33]/4 - 
       s[34] - 2*s[35] - (46*s[36])/3 + 19*s[37] + (541*s[38])/2 - 
       (4539*s[39])/4 + (15529*s[40])/12 - 1011*s[41] + (19589*s[42])/12 + 
       (140153*s[43])/132 - (74707*s[44])/66 + (61555*s[45])/44 - 
       (338375*s[46])/33 + (30949*s[47])/99 + (135049*s[48])/396 - 
       (1934851*s[49])/396 + (262241*s[50])/33 + (226153*s[51])/198 + 
       (348263*s[52])/396 - (2195107*s[53])/396 + (7991*s[54])/66 - 
       (4704473*s[55])/132 - (931753*s[56])/99 + (7933987*s[57])/1188 - 
       (27386041*s[58])/1782 + (55379213*s[59])/3564 + 
       (202113253*s[60])/2376 - (300659245*s[61])/64152 + 4*s[72] + 2*s[73] - 
       5*s[74] + 5*s[75] - 4*s[76] - 2*s[77] + 4*s[78] + 112*s[79] - 
       34*s[80] + 417*s[82] + 48*s[84] + 84*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((89*s[2])/2 + (53*s[3])/2 + (1593*s[4])/4 + (60295*s[5])/88 + 
       (132171*s[6])/88 + (9117629*s[7])/792 - (1652881*s[8])/2376 - 
       (2142749*s[9])/216 - (727549*s[10])/216 - (1219402*s[11])/99 - 
       (5092613*s[12])/396 - (248176*s[13])/33 - (1304791*s[14])/396 - 
       (95141*s[15])/6 - (5223283*s[16])/264 - (13090093*s[17])/792 - 
       (1664011*s[18])/648 - (374095*s[19])/324 - (21995101*s[20])/891 - 
       (69504029*s[21])/7128 + (21588035*s[22])/3564 + (373169*s[23])/33 + 
       (43815041*s[24])/3564 - (1887455749*s[25])/128304 + 
       (1170537529*s[26])/128304 + 3*s[28] + 8*s[29] - 2*s[30] + 18*s[31] - 
       (5*s[32])/2 - 10*s[33] - 12*s[34] - 10*s[35] - (131*s[36])/6 + 
       (293*s[37])/12 + 326*s[38] - (12187*s[39])/8 + (42029*s[40])/24 - 
       (11251*s[41])/8 + (55117*s[42])/24 + (343927*s[43])/264 - 
       (766679*s[44])/528 + (424483*s[45])/264 - (1654063*s[46])/132 + 
       (914113*s[47])/1584 + (277807*s[48])/1584 - (9206203*s[49])/1584 + 
       (627127*s[50])/66 + (2614631*s[51])/1584 + (2003345*s[52])/1584 - 
       (5298415*s[53])/792 + (73499*s[54])/132 - (22395157*s[55])/528 - 
       (6328279*s[56])/528 + (4920647*s[57])/396 - (31546085*s[58])/1584 + 
       (3502221*s[59])/176 + (950141083*s[60])/9504 - 
       (62125919*s[61])/10692 - 4*s[63] + (5*s[64])/2 + 2*s[65] - 2*s[66] + 
       20*s[68] + 8*s[69] + 36*s[70] - (11*s[71])/2 + 8*s[72] + 3*s[73] - 
       (21*s[74])/2 + (27*s[75])/2 - 2*s[76] - 43*s[77] + 13*s[78] + 
       144*s[79] - (49*s[80])/6 + 174*s[82] + 6*s[83] + 54*s[84] + 
       84*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u]*(41*s[2] - (77*s[3])/4 + (4123*s[4])/8 + 
       (67283*s[5])/88 + (71783*s[6])/44 + (6509119*s[7])/528 - 
       (1105781*s[8])/1188 - (2294087*s[9])/216 - (679531*s[10])/216 - 
       (21150991*s[11])/1584 - (5669435*s[12])/396 - (13233805*s[13])/1584 - 
       (4563499*s[14])/1584 - (2358881*s[15])/144 - (8237071*s[16])/396 - 
       (26437687*s[17])/1584 - (1909633*s[18])/648 - (536633*s[19])/648 - 
       (183095879*s[20])/7128 - (145679587*s[21])/14256 + 
       (92495705*s[22])/14256 + (11495617*s[23])/792 + 
       (88150369*s[24])/7128 - (2075506969*s[25])/128304 + 
       (1269932305*s[26])/128304 + 8*s[30] + 22*s[31] - s[32]/2 + 
       (31*s[33])/2 - 34*s[34] - 47*s[35] - 34*s[36] + (413*s[37])/12 + 
       372*s[38] - (7237*s[39])/4 + (7897*s[40])/4 - (6199*s[41])/4 + 
       (10889*s[42])/4 + (61331*s[43])/44 - (34239*s[44])/22 + 
       (431443*s[45])/264 - (3539263*s[46])/264 + (38513*s[47])/44 - 
       (4663*s[48])/22 - (273741*s[49])/44 + (436371*s[50])/44 + 
       (63025*s[51])/33 + (65497*s[52])/44 - (5616251*s[53])/792 + 
       (59951*s[54])/66 - (2909441*s[55])/66 - (1282406*s[56])/99 + 
       (19810889*s[57])/1188 - (158522081*s[58])/7128 + 
       (78495793*s[59])/3564 + (164179109*s[60])/1584 - 
       (808992079*s[61])/128304 + (3*s[64])/2 - s[65]/2 - 6*s[66] + 6*s[67] + 
       14*s[68] + 14*s[69] + 9*s[70] - 2*s[71] + 16*s[72] + 6*s[73] - 
       (25*s[74])/2 + (31*s[75])/2 - 36*s[76] - 20*s[77] + 54*s[78] + 
       96*s[79] + (23*s[80])/6 - s[81]/6 + 174*s[82] + 6*s[83] + 54*s[84] + 
       84*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Omega2[w, u, v]*
      (23*s[2] + (93*s[3])/4 + (7403*s[4])/8 + (14635*s[5])/22 + 
       (149641*s[6])/88 + (8051401*s[7])/528 - (2920033*s[8])/2376 - 
       (1391371*s[9])/108 - (433559*s[10])/108 - (26569171*s[11])/1584 - 
       (7268735*s[12])/396 - (17493433*s[13])/1584 - (3015895*s[14])/1584 - 
       (2905505*s[15])/144 - (20347895*s[16])/792 - (31219513*s[17])/1584 - 
       (913529*s[18])/324 - (1432421*s[19])/648 - (215975435*s[20])/7128 - 
       (156736645*s[21])/14256 + (114486809*s[22])/14256 + 
       (14073109*s[23])/792 + (118398109*s[24])/7128 - 
       (684439471*s[25])/32076 + (187989233*s[26])/16038 + 8*s[31] - 
       2*s[32] + 5*s[33] - 9*s[34] - s[35] - 36*s[36] + (209*s[37])/6 + 
       532*s[38] - (8587*s[39])/4 + (9679*s[40])/4 - (7657*s[41])/4 + 
       (6185*s[42])/2 + (85419*s[43])/44 - (178413*s[44])/88 + 
       (148403*s[45])/66 - (2299855*s[46])/132 + (173269*s[47])/264 + 
       (101527*s[48])/264 - (2317933*s[49])/264 + (147556*s[50])/11 + 
       (556181*s[51])/264 + (453707*s[52])/264 - (3675167*s[53])/396 + 
       (17113*s[54])/66 - (15560791*s[55])/264 - (12359273*s[56])/792 + 
       (18048583*s[57])/1188 - (192783703*s[58])/7128 + 
       (195095713*s[59])/7128 + (226464143*s[60])/1584 - 
       (489823651*s[61])/64152 - 2*s[71] + 8*s[72] - (17*s[74])/2 + 
       (17*s[75])/2 - 12*s[76] - 2*s[77] + 8*s[78] + 200*s[79] - 
       (121*s[80])/3 + 225*s[82] + 96*s[84] + 84*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((65*s[2])/6 - (151*s[3])/12 + (865*s[4])/8 + (13217*s[5])/66 + 
       (28631*s[6])/66 + (18834545*s[7])/4752 - (789115*s[8])/3564 - 
       (2199307*s[9])/648 - (443689*s[10])/324 - (10061611*s[11])/2376 - 
       (20779381*s[12])/4752 - (1364017*s[13])/528 - (5419631*s[14])/4752 - 
       (269575*s[15])/48 - (5528407*s[16])/792 - (1789525*s[17])/297 - 
       (1106003*s[18])/1944 - (207122*s[19])/243 - (181955131*s[20])/21384 - 
       (131724869*s[21])/42768 + (89749795*s[22])/42768 + 
       (1136845*s[23])/528 + (211229371*s[24])/42768 - 
       (1987048169*s[25])/384912 + (1140659045*s[26])/384912 - (19*s[30])/3 + 
       2*s[31] - s[32] + (5*s[33])/4 + (10*s[34])/3 + (173*s[35])/6 - 
       (19*s[36])/18 - (923*s[37])/72 + (143*s[38])/4 - (1607*s[39])/8 + 
       (21631*s[40])/72 - (921*s[41])/4 + (2458*s[42])/9 + 
       (265205*s[43])/792 - (571621*s[44])/1584 + (947621*s[45])/1584 - 
       (650129*s[46])/176 - (387331*s[47])/4752 + (2007611*s[48])/4752 - 
       (7408547*s[49])/4752 + (296875*s[50])/99 + (962977*s[51])/4752 + 
       (425311*s[52])/4752 - (1126207*s[53])/528 - (5075*s[54])/88 - 
       (22569109*s[55])/1584 - (17240131*s[56])/4752 - 
       (10372729*s[57])/7128 - (97363789*s[58])/21384 + 
       (202404911*s[59])/42768 + (58789829*s[60])/1782 - 
       (1441654465*s[61])/769824 + s[62]/4 + 2*s[67] - (16*s[68])/3 + 
       (22*s[69])/3 + (13*s[71])/4 + 2*s[72] - 2*s[73] + (7*s[74])/6 - 
       (7*s[75])/6 + (32*s[76])/3 - (19*s[77])/3 - (26*s[78])/3 + 
       (184*s[79])/3 - (2183*s[80])/36 + 382*s[82] + 12*s[84] + 88*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - v]*
      (10*s[2] - (107*s[3])/12 + (2401*s[4])/24 + (37027*s[5])/132 + 
       (26043*s[6])/44 + (8156747*s[7])/1584 - (291719*s[8])/1188 - 
       (968915*s[9])/216 - (188837*s[10])/108 - (4422689*s[11])/792 - 
       (9255197*s[12])/1584 - (5507069*s[13])/1584 - (2498143*s[14])/1584 - 
       (1001989*s[15])/144 - (3526157*s[16])/396 - (980593*s[17])/132 - 
       (605443*s[18])/648 - (71101*s[19])/81 - (9922531*s[20])/891 - 
       (59406241*s[21])/14256 + (39250091*s[22])/14256 + 
       (4580935*s[23])/1584 + (86705447*s[24])/14256 - 
       (859498921*s[25])/128304 + (508776733*s[26])/128304 + 2*s[31] - 
       (2*s[32])/3 + (29*s[33])/4 - 6*s[34] - s[35] - (13*s[36])/3 - 
       (15*s[37])/2 + (851*s[38])/6 - (5753*s[39])/12 + (2279*s[40])/4 - 
       435*s[41] + 621*s[42] + (79441*s[43])/132 - (19903*s[44])/33 + 
       (56857*s[45])/66 - (750731*s[46])/132 - (1684*s[47])/33 + 
       (81913*s[48])/132 - (61565*s[49])/22 + (296779*s[50])/66 + 
       (20715*s[51])/44 + (13935*s[52])/44 - (305489*s[53])/99 - 
       (1930*s[54])/11 - (7952081*s[55])/396 - (1985647*s[56])/396 + 
       (657049*s[57])/1188 - (6794840*s[58])/891 + (6840929*s[59])/891 + 
       (39490405*s[60])/792 - (84200249*s[61])/32076 + 2*s[67] - 
       (16*s[68])/3 + (22*s[69])/3 + 2*s[72] - 2*s[73] - (3*s[74])/2 + 
       (3*s[75])/2 - 6*s[76] - (19*s[77])/3 + 2*s[78] + 40*s[79] - 9*s[80] + 
       472*s[82] + 12*s[84] + 88*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*((175*s[2])/3 - (45*s[3])/4 + (15341*s[4])/8 + 
       (206287*s[5])/132 + (979837*s[6])/264 + (157507135*s[7])/4752 - 
       (18642985*s[8])/7128 - (9117625*s[9])/324 - (701513*s[10])/81 - 
       (173500363*s[11])/4752 - (94799521*s[12])/2376 - 
       (38036477*s[13])/1584 - (21088561*s[14])/4752 - (2103301*s[15])/48 - 
       (7375771*s[16])/132 - (204330905*s[17])/4752 - (6071267*s[18])/972 - 
       (9006785*s[19])/1944 - (1414168241*s[20])/21384 - 
       (1040541319*s[21])/42768 + (748578887*s[22])/42768 + 
       (30652823*s[23])/792 + (764026507*s[24])/21384 - 
       (8888558165*s[25])/192456 + (4937262623*s[26])/192456 + (4*s[30])/3 + 
       (88*s[31])/3 - (47*s[32])/6 + (68*s[33])/3 - (154*s[34])/3 - 
       (46*s[35])/3 - (998*s[36])/9 + (1685*s[37])/18 + (7123*s[38])/6 - 
       (14591*s[39])/3 + (48419*s[40])/9 - (50491*s[41])/12 + 
       (63703*s[42])/9 + (400936*s[43])/99 - (3519845*s[44])/792 + 
       (835085*s[45])/198 - (3506468*s[46])/99 + (4230829*s[47])/2376 + 
       (581953*s[48])/2376 - (44682709*s[49])/2376 + (10743379*s[50])/396 + 
       (11394353*s[51])/2376 + (9178793*s[52])/2376 - (22111891*s[53])/1188 + 
       (194959*s[54])/396 - (92484839*s[55])/792 - (24573361*s[56])/792 + 
       (23128385*s[57])/594 - (135422255*s[58])/2376 + (45609947*s[59])/792 + 
       (4092848671*s[60])/14256 - (240951581*s[61])/16038 - (23*s[65])/6 - 
       (37*s[66])/3 + (68*s[67])/3 + (5*s[68])/3 + (113*s[69])/3 - 
       (7*s[70])/3 + (11*s[71])/6 + (92*s[72])/3 - 28*s[73] - 30*s[74] + 
       30*s[75] - (55*s[76])/3 - (28*s[77])/3 + (164*s[78])/3 + 
       (1186*s[79])/3 - (868*s[80])/9 + 268*s[82] + 7*s[83] + 162*s[84] + 
       88*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - u]*((365*s[2])/6 - (251*s[3])/6 + (4735*s[4])/3 + 
       (51550*s[5])/33 + (453829*s[6])/132 + (36321631*s[7])/1188 - 
       (881575*s[8])/396 - (470861*s[9])/18 - (296371*s[10])/36 - 
       (26573219*s[11])/792 - (3195817*s[12])/88 - (12972397*s[13])/594 - 
       (976523*s[14])/198 - (4397623*s[15])/108 - (30670513*s[16])/594 - 
       (95894663*s[17])/2376 - (943213*s[18])/162 - (680207*s[19])/162 - 
       (220143907*s[20])/3564 - (82301939*s[21])/3564 + (4814341*s[22])/297 + 
       (80277629*s[23])/2376 + (78850999*s[24])/2376 - 
       (2693286061*s[25])/64152 + (1523202001*s[26])/64152 + 3*s[29] + 
       (2*s[30])/3 + (97*s[31])/3 - (103*s[32])/6 + (89*s[33])/6 - 
       (155*s[34])/3 - (62*s[35])/3 - (932*s[36])/9 + (677*s[37])/6 + 
       (3229*s[38])/3 - (51475*s[39])/12 + (171245*s[40])/36 - 
       (14809*s[41])/4 + (111395*s[42])/18 + (1445035*s[43])/396 - 
       (3139211*s[44])/792 + (171527*s[45])/44 - (6331823*s[46])/198 + 
       (3514573*s[47])/2376 + (978259*s[48])/2376 - (39954793*s[49])/2376 + 
       (4846367*s[50])/198 + (10082441*s[51])/2376 + (8116685*s[52])/2376 - 
       (9971059*s[53])/594 + (88435*s[54])/198 - (83673307*s[55])/792 - 
       (66686251*s[56])/2376 + (119611211*s[57])/3564 - 
       (1092206573*s[58])/21384 + (1101699161*s[59])/21384 + 
       (3709665793*s[60])/14256 - (654543011*s[61])/48114 + 2*s[64] - 
       (7*s[65])/3 - (31*s[66])/3 + (50*s[67])/3 + (5*s[68])/3 + 
       (83*s[69])/3 - (4*s[70])/3 + s[71]/3 + (64*s[72])/3 - (68*s[73])/3 - 
       (77*s[74])/3 + (77*s[75])/3 - 20*s[76] + (4*s[77])/3 + (104*s[78])/3 + 
       362*s[79] - 77*s[80] + 268*s[82] + 7*s[83] + 162*s[84] + 88*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((25*s[2])/4 + (1679*s[3])/24 + (29767*s[4])/48 + (1404*s[5])/11 + 
       (414511*s[6])/528 + (65752765*s[7])/9504 - (9078161*s[8])/14256 - 
       (3680783*s[9])/648 - (1061785*s[10])/648 - (75027221*s[11])/9504 - 
       (43277789*s[12])/4752 - (53306239*s[13])/9504 - (1645745*s[14])/9504 - 
       (7339847*s[15])/864 - (54117119*s[16])/4752 - (8157367*s[17])/1056 - 
       (2150665*s[18])/1944 - (4718323*s[19])/3888 - (560337169*s[20])/
        42768 - (365530289*s[21])/85536 + (308383513*s[22])/85536 + 
       (9996427*s[23])/1188 + (166930399*s[24])/21384 - 
       (4038826225*s[25])/384912 + (2028800353*s[26])/384912 - 8*s[30] - 
       (23*s[31])/3 + (37*s[32])/4 - (25*s[33])/2 + (107*s[34])/6 + 
       (23*s[35])/6 + (901*s[36])/36 - (593*s[37])/36 + (3911*s[38])/12 - 
       (16513*s[39])/16 + (173285*s[40])/144 - (46151*s[41])/48 + 
       (203089*s[42])/144 + (1495039*s[43])/1584 - (729431*s[44])/792 + 
       (832373*s[45])/792 - (12514415*s[46])/1584 + (849121*s[47])/2376 + 
       (1446419*s[48])/4752 - (19665821*s[49])/4752 + (2366461*s[50])/396 + 
       (2552333*s[51])/2376 + (4397431*s[52])/4752 - (18101299*s[53])/4752 + 
       (87011*s[54])/792 - (13125553*s[55])/528 - (3697345*s[56])/528 + 
       (41999855*s[57])/4752 - (46042223*s[58])/3564 + 
       (88680343*s[59])/7128 + (1877388599*s[60])/28512 - 
       (24084023*s[61])/7128 + (7*s[62])/2 + (8*s[65])/3 + (26*s[66])/3 - 
       (40*s[67])/3 - (4*s[68])/3 - (61*s[69])/3 + (95*s[70])/3 - 
       (61*s[71])/12 - 7*s[72] + (37*s[73])/3 - (13*s[74])/12 + 
       (7*s[75])/12 - (43*s[76])/3 - (133*s[77])/6 - (56*s[78])/3 + 
       (443*s[79])/3 - (383*s[80])/18 - s[81]/6 - 31*s[82] - (47*s[83])/4 + 
       (217*s[84])/2 + 92*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*((20*s[2])/3 + 
       (2975*s[3])/24 + (19859*s[4])/16 + (44087*s[5])/132 + 
       (838733*s[6])/528 + (7552679*s[7])/528 - (3222023*s[8])/2376 - 
       (5104265*s[9])/432 - (1440013*s[10])/432 - (12831031*s[11])/792 - 
       (29267749*s[12])/1584 - (9080293*s[13])/792 - (89807*s[14])/396 - 
       (2577827*s[15])/144 - (18694957*s[16])/792 - (13008007*s[17])/792 - 
       (3123661*s[18])/1296 - (2927375*s[19])/1296 - (191241565*s[20])/7128 - 
       (64970761*s[21])/7128 + (107114875*s[22])/14256 + (1920526*s[23])/99 + 
       (55499509*s[24])/3564 - (343212685*s[25])/16038 + 
       (1401021443*s[26])/128304 + s[28] - s[30] - (2*s[31])/3 - 3*s[32] - 
       (11*s[33])/8 + (25*s[34])/6 - (16*s[35])/3 - (296*s[36])/9 + 
       (305*s[37])/12 + (3935*s[38])/6 - (4607*s[39])/2 + (47683*s[40])/18 - 
       (50695*s[41])/24 + (237323*s[42])/72 + (410699*s[43])/198 - 
       (1691927*s[44])/792 + (180123*s[45])/88 - (13230071*s[46])/792 + 
       (950021*s[47])/1188 + (455747*s[48])/1188 - (43431383*s[49])/4752 + 
       (1263034*s[50])/99 + (11507185*s[51])/4752 + (4684709*s[52])/2376 - 
       (9959087*s[53])/1188 + (99181*s[54])/792 - (4704039*s[55])/88 - 
       (68595959*s[56])/4752 + (35778037*s[57])/1782 - 
       (1173493741*s[58])/42768 + (1164593803*s[59])/42768 + 
       (3930531089*s[60])/28512 - (329059805*s[61])/48114 - 10*s[63] + 
       (5*s[65])/3 + (14*s[66])/3 - (13*s[67])/3 - s[68]/3 - (22*s[69])/3 + 
       (161*s[70])/3 - (13*s[71])/2 + 2*s[72] - 16*s[73] - (41*s[74])/6 + 
       (53*s[75])/6 - 8*s[76] - (196*s[77])/3 - 10*s[78] + (872*s[79])/3 - 
       (241*s[80])/6 + 19*s[82] - (35*s[83])/4 + (245*s[84])/2 + 92*s[85]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((-367*s[2])/12 + (817*s[3])/9 - (12601*s[4])/48 - (560213*s[5])/1584 - 
       (281353*s[6])/396 - (61098715*s[7])/9504 + (22992845*s[8])/42768 + 
       (22054885*s[9])/3888 + (356993*s[10])/243 + (195019457*s[11])/28512 + 
       (26613275*s[12])/3564 + (125987843*s[13])/28512 + 
       (36478055*s[14])/28512 + (21548659*s[15])/2592 + 
       (146561029*s[16])/14256 + (220137287*s[17])/28512 + 
       (19488053*s[18])/11664 + (170309*s[19])/5832 + 
       (1701975895*s[20])/128304 + (1330511993*s[21])/256608 - 
       (888853957*s[22])/256608 - (117946253*s[23])/14256 - 
       (766248113*s[24])/128304 + (2420188855*s[25])/288684 - 
       (5865156091*s[26])/1154736 - (559*s[30])/36 - (259*s[31])/18 - 
       s[32]/3 - (2399*s[33])/144 + (107*s[34])/4 - (50*s[35])/9 + 
       (424*s[36])/27 - (1043*s[37])/24 - (1423*s[38])/18 + 
       (24557*s[39])/72 - (76415*s[40])/216 + (6221*s[41])/24 - 
       (29899*s[42])/54 - (629173*s[43])/2376 + (1385737*s[44])/9504 - 
       (166703*s[45])/528 + (11238455*s[46])/4752 - (5182619*s[47])/28512 + 
       (8426185*s[48])/28512 + (12253709*s[49])/28512 - 
       (3491863*s[50])/2376 - (10345519*s[51])/28512 - 
       (13028557*s[52])/28512 + (18495775*s[53])/14256 - 
       (2691587*s[54])/2376 + (26325887*s[55])/3168 + 
       (86789519*s[56])/28512 - (168447997*s[57])/42768 + 
       (1142053189*s[58])/256608 - (1125406897*s[59])/256608 - 
       (2621080265*s[60])/171072 + (1282669145*s[61])/1154736 - (3*s[64])/4 - 
       (85*s[65])/36 - (58*s[66])/9 + (401*s[67])/18 + (118*s[68])/9 + 
       (557*s[69])/18 + (94*s[70])/9 + (95*s[71])/18 - (35*s[72])/9 - 
       (269*s[73])/9 - s[74]/3 + (7*s[75])/12 + (535*s[76])/18 - 
       (80*s[77])/9 - (65*s[78])/9 - 76*s[79] - (1319*s[80])/36 + 664*s[82] + 
       (67*s[83])/12 - (223*s[84])/6 + (280*s[85])/3) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((43*s[2])/12 + (3173*s[3])/18 + (63253*s[4])/48 + (885073*s[5])/1584 + 
       (761891*s[6])/396 + (159959123*s[7])/9504 - (64605733*s[8])/42768 - 
       (54007217*s[9])/3888 - (2009555*s[10])/486 - (535964713*s[11])/28512 - 
       (75102901*s[12])/3564 - (365417227*s[13])/28512 - 
       (26339959*s[14])/28512 - (56327771*s[15])/2592 - 
       (401097041*s[16])/14256 - (585690055*s[17])/28512 - 
       (35941357*s[18])/11664 - (15061069*s[19])/5832 - 
       (4142791835*s[20])/128304 - (2914044673*s[21])/256608 + 
       (2240474525*s[22])/256608 + (318870865*s[23])/14256 + 
       (2340828001*s[24])/128304 - (14158735315*s[25])/577368 + 
       (14971177517*s[26])/1154736 - (133*s[30])/36 - (73*s[31])/18 + 
       (11*s[32])/2 - (1469*s[33])/144 + (175*s[34])/12 - (170*s[35])/9 - 
       (797*s[36])/27 - (127*s[37])/8 + (13565*s[38])/18 - 
       (191653*s[39])/72 + (648583*s[40])/216 - (19347*s[41])/8 + 
       (200399*s[42])/54 + (6294389*s[43])/2376 - (24634097*s[44])/9504 + 
       (1589459*s[45])/528 - (107438275*s[46])/4752 + 
       (16698679*s[47])/28512 + (30170467*s[48])/28512 - 
       (336378385*s[49])/28512 + (41473601*s[50])/2376 + 
       (73932539*s[51])/28512 + (59399957*s[52])/28512 - 
       (171100967*s[53])/14256 - (113345*s[54])/2376 - 
       (243749515*s[55])/3168 - (570857035*s[56])/28512 + 
       (695452649*s[57])/42768 - (8767996289*s[58])/256608 + 
       (8926687205*s[59])/256608 + (32379331813*s[60])/171072 - 
       (11423995843*s[61])/1154736 - (3*s[64])/4 + (29*s[65])/36 + 
       (56*s[66])/9 - (55*s[67])/18 + (4*s[68])/9 - (127*s[69])/18 + 
       (34*s[70])/9 - (68*s[71])/9 - (77*s[72])/9 + (151*s[73])/9 - 
       (16*s[74])/3 + (79*s[75])/12 - (53*s[76])/18 + (94*s[77])/9 - 
       (176*s[78])/9 + (571*s[79])/3 - (437*s[80])/36 + 94*s[82] - 
       (47*s[83])/12 + (575*s[84])/6 + (280*s[85])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-139*s[2])/12 + (2653*s[3])/24 + (10637*s[4])/48 + (53077*s[5])/264 + 
       (81061*s[6])/176 + (39320707*s[7])/9504 - (1336199*s[8])/4752 - 
       (725549*s[9])/216 - (310231*s[10])/216 - (1541933*s[11])/352 - 
       (7070003*s[12])/1584 - (24112691*s[13])/9504 - (378379*s[14])/352 - 
       (5401105*s[15])/864 - (17833391*s[16])/2376 - (63755317*s[17])/9504 - 
       (56255*s[18])/108 - (54485*s[19])/48 - (42072211*s[20])/4752 - 
       (87617461*s[21])/28512 + (59089417*s[22])/28512 + 
       (12374603*s[23])/4752 + (77518511*s[24])/14256 - 
       (702914273*s[25])/128304 + (390555773*s[26])/128304 - (2*s[30])/3 - 
       (41*s[31])/3 + (47*s[32])/6 - (403*s[33])/24 + (193*s[34])/6 + 
       s[35]/3 + (166*s[36])/9 - (53*s[37])/4 + (505*s[38])/6 - 
       (3661*s[39])/24 + (16591*s[40])/72 - (4681*s[41])/24 + 
       (10025*s[42])/72 + (354197*s[43])/792 - (33556*s[44])/99 + 
       (59773*s[45])/66 - (3860327*s[46])/792 - (402845*s[47])/2376 + 
       (719459*s[48])/1188 - (4549129*s[49])/2376 + (394660*s[50])/99 + 
       (268801*s[51])/1188 + (52691*s[52])/2376 - (895214*s[53])/297 - 
       (71953*s[54])/396 - (2013398*s[55])/99 - (11557063*s[56])/2376 - 
       (37827029*s[57])/7128 - (108736625*s[58])/21384 + 
       (14986339*s[59])/2673 + (645177361*s[60])/14256 - 
       (967486405*s[61])/384912 + s[65] + 4*s[66] - 6*s[67] - 12*s[69] + 
       (19*s[70])/2 - s[71] + s[72]/3 + (17*s[73])/3 + (73*s[74])/12 - 
       (67*s[75])/12 + (67*s[76])/6 + (2*s[77])/3 - (61*s[78])/3 + 
       (68*s[79])/3 - (143*s[80])/6 + 441*s[82] - 3*s[83] + 19*s[84] + 
       94*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - u]*
      ((-505*s[2])/24 + (4511*s[3])/48 + (39337*s[4])/96 + (8159*s[5])/48 + 
       (73519*s[6])/96 + (9820499*s[7])/1728 - (1246169*s[8])/2592 - 
       (741527*s[9])/162 - (1061491*s[10])/648 - (10860641*s[11])/1728 - 
       (740899*s[12])/108 - (799643*s[13])/192 - (1399109*s[14])/1728 - 
       (1456247*s[15])/192 - (1410905*s[16])/144 - (13232695*s[17])/1728 - 
       (842309*s[18])/972 - (9387731*s[19])/7776 - (87407041*s[20])/7776 - 
       (59498783*s[21])/15552 + (44791399*s[22])/15552 + (83839*s[23])/16 + 
       (6614461*s[24])/972 - (571663279*s[25])/69984 + 
       (303228343*s[26])/69984 + (35*s[30])/12 - (41*s[31])/3 + 
       (22*s[32])/3 - (413*s[33])/24 + (305*s[34])/12 - (217*s[35])/12 + 
       (281*s[36])/36 - (1291*s[37])/72 + (1789*s[38])/12 - 
       (12307*s[39])/24 + (42527*s[40])/72 - (2039*s[41])/4 + 
       (48157*s[42])/72 + (536095*s[43])/792 - (2010391*s[44])/3168 + 
       (1666129*s[45])/1584 - (3582295*s[46])/528 + (216641*s[47])/9504 + 
       (5715629*s[48])/9504 - (28742075*s[49])/9504 + (2089163*s[50])/396 + 
       (5367181*s[51])/9504 + (3490459*s[52])/9504 - (2896879*s[53])/792 - 
       (4385*s[54])/44 - (25852861*s[55])/1056 - (61010053*s[56])/9504 + 
       (1422899*s[57])/14256 - (775923353*s[58])/85536 + 
       (778145579*s[59])/85536 + (3351836651*s[60])/57024 - 
       (2552675459*s[61])/769824 + s[65] + 4*s[66] - 6*s[67] - 12*s[69] + 
       (19*s[70])/2 - s[71] + s[72]/6 + (71*s[73])/6 + (23*s[74])/8 - 
       (19*s[75])/8 + (25*s[76])/6 + (3*s[77])/4 - (83*s[78])/6 + 
       (20*s[79])/3 - (103*s[80])/36 + 531*s[82] - 3*s[83] + 19*s[84] + 
       94*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - u]*
      ((19*s[2])/2 + (705*s[3])/16 + (18999*s[4])/32 + (284249*s[5])/528 + 
       (1405475*s[6])/1056 + (107586101*s[7])/9504 - (6049123*s[8])/7128 - 
       (24807569*s[9])/2592 - (8332213*s[10])/2592 - (29312267*s[11])/2376 - 
       (126020371*s[12])/9504 - (1562927*s[13])/198 - (9789853*s[14])/4752 - 
       (4399795*s[15])/288 - (30662231*s[16])/1584 - (73306775*s[17])/4752 - 
       (16717129*s[18])/7776 - (13061345*s[19])/7776 - 
       (988975927*s[20])/42768 - (365320279*s[21])/42768 + 
       (507619483*s[22])/85536 + (18671897*s[23])/1584 + 
       (536171465*s[24])/42768 - (11882474267*s[25])/769824 + 
       (210601378*s[26])/24057 + (2*s[30])/3 + (4*s[31])/3 - (3*s[32])/2 - 
       (37*s[33])/48 + (3*s[34])/4 - (11*s[35])/6 - (43*s[36])/2 + 
       (469*s[37])/36 + (3803*s[38])/12 - (32627*s[39])/24 + 
       (12393*s[40])/8 - (59605*s[41])/48 + (94073*s[42])/48 + 
       (113503*s[43])/88 - (718997*s[44])/528 + (654997*s[45])/396 - 
       (1214599*s[46])/99 + (557323*s[47])/1584 + (706417*s[48])/1584 - 
       (18747755*s[49])/3168 + (104383*s[50])/11 + (4264577*s[51])/3168 + 
       (1661045*s[52])/1584 - (31411811*s[53])/4752 + (174173*s[54])/1584 - 
       (33588095*s[55])/792 - (106831049*s[56])/9504 + 
       (59312003*s[57])/7128 - (1579199989*s[58])/85536 + 
       (1597524025*s[59])/85536 + (643608965*s[60])/6336 - 
       (4306446019*s[61])/769824 - s[68] + s[69] - s[71]/6 + (14*s[72])/3 + 
       4*s[73] - (67*s[74])/12 + (67*s[75])/12 - (11*s[76])/3 - 
       (17*s[77])/6 + (11*s[78])/3 + (356*s[79])/3 - (575*s[80])/18 + 
       (933*s[82])/2 + 56*s[84] + 94*s[85]) + HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*((109*s[2])/6 + (605*s[3])/24 + 
       (17603*s[4])/24 + (163111*s[5])/264 + (260373*s[6])/176 + 
       (125473459*s[7])/9504 - (14774731*s[8])/14256 - (3620999*s[9])/324 - 
       (1166029*s[10])/324 - (68516555*s[11])/4752 - (148515905*s[12])/9504 - 
       (1640961*s[13])/176 - (9617411*s[14])/4752 - (5095463*s[15])/288 - 
       (70947841*s[16])/3168 - (83506579*s[17])/4752 - (4827539*s[18])/1944 - 
       (7438517*s[19])/3888 - (568910527*s[20])/21384 - 
       (834518215*s[21])/85536 + (593691569*s[22])/85536 + 
       (2593583*s[23])/176 + (618037867*s[24])/42768 - 
       (13994489761*s[25])/769824 + (7817905969*s[26])/769824 + s[30]/4 + 
       (35*s[31])/6 - (41*s[32])/24 + (65*s[33])/24 - 4*s[34] + s[35]/6 - 
       (199*s[36])/8 + (295*s[37])/9 + (3271*s[38])/8 - (166673*s[39])/96 + 
       (189157*s[40])/96 - (149641*s[41])/96 + (80827*s[42])/32 + 
       (1687559*s[43])/1056 - (885581*s[44])/528 + (1527409*s[45])/792 - 
       (46671943*s[46])/3168 + (103291*s[47])/198 + (1186069*s[48])/3168 - 
       (22969489*s[49])/3168 + (1001351*s[50])/88 + (2714315*s[51])/1584 + 
       (4294259*s[52])/3168 - (75605369*s[53])/9504 + (427327*s[54])/1584 - 
       (160223995*s[55])/3168 - (127380127*s[56])/9504 + 
       (326295223*s[57])/28512 - (120267821*s[58])/5346 + 
       (977199145*s[59])/42768 + (768206999*s[60])/6336 - 
       (2536332907*s[61])/384912 - (5*s[71])/24 + (19*s[72])/3 - 
       (25*s[74])/4 + (25*s[75])/4 - 9*s[76] - (11*s[77])/6 + (19*s[78])/3 + 
       (1025*s[79])/6 - (461*s[80])/9 + (739*s[82])/2 + 76*s[84] + 
       94*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 
       1 - w]*(9*s[2] + 23*s[3] - 62*s[4] + (20279*s[5])/44 + 
       (10427*s[6])/22 + (473651*s[7])/132 - (7829*s[8])/198 - 
       (57289*s[9])/18 - (48223*s[10])/36 - (935845*s[11])/264 - 
       (824039*s[12])/264 - (64997*s[13])/44 - (143959*s[14])/66 - 
       (35263*s[15])/6 - (300415*s[16])/44 - (1838105*s[17])/264 - 
       (53201*s[18])/54 - (34541*s[19])/108 - (10664033*s[20])/1188 - 
       (1220930*s[21])/297 + (2172199*s[22])/1188 + (244273*s[23])/88 + 
       (9583751*s[24])/2376 - (38568275*s[25])/10692 + 
       (16294855*s[26])/5346 - s[32] - 12*s[37] - 7*s[38] - (489*s[39])/4 + 
       (729*s[40])/4 - (711*s[41])/4 + (381*s[42])/4 + (8523*s[43])/44 - 
       (26959*s[44])/88 + (27635*s[45])/44 - (70359*s[46])/22 - 
       (9079*s[47])/264 + (71903*s[48])/264 - (270335*s[49])/264 + 
       (26718*s[50])/11 + (1007*s[51])/264 - (22523*s[52])/264 - 
       (42995*s[53])/22 + (2687*s[54])/11 - (3726611*s[55])/264 - 
       (1077565*s[56])/264 - (361991*s[57])/198 - (9374009*s[58])/2376 + 
       (10818689*s[59])/2376 + (43357103*s[60])/1584 - (9944177*s[61])/5346 - 
       8*s[68] + 8*s[69] - 8*s[77] + 414*s[82] + 96*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      (8*s[2] - 26*s[3] - 132*s[4] + (9701*s[5])/44 + (4687*s[6])/11 + 
       (756997*s[7])/396 + (8032*s[8])/297 - (95963*s[9])/54 - 
       (85949*s[10])/108 - (1459547*s[11])/792 - (1225105*s[12])/792 - 
       (15809*s[13])/22 - (373229*s[14])/198 - (17005*s[15])/6 - 
       (455425*s[16])/132 - (2885215*s[17])/792 - (250043*s[18])/324 + 
       (17489*s[19])/81 - (9454889*s[20])/1782 - (4478357*s[21])/1782 + 
       (3610697*s[22])/3564 + (39531*s[23])/88 + (13847245*s[24])/7128 - 
       (48894715*s[25])/32076 + (13688836*s[26])/8019 - 2*s[30] + 8*s[34] - 
       10*s[35] + (134*s[36])/3 - (481*s[37])/6 + 24*s[38] + (81*s[39])/4 + 
       (517*s[40])/12 - (411*s[41])/4 - (1873*s[42])/12 + (25823*s[43])/132 - 
       (43951*s[44])/264 + (46751*s[45])/66 - (145293*s[46])/44 - 
       (196987*s[47])/792 + (480107*s[48])/792 - (603353*s[49])/792 + 
       (85715*s[50])/33 + (49009*s[51])/792 - (50747*s[52])/792 - 
       (255763*s[53])/132 + (800*s[54])/11 - (3740233*s[55])/264 - 
       (3190447*s[56])/792 - (1113850*s[57])/297 - (25955249*s[58])/7128 + 
       (25536659*s[59])/7128 + (143511803*s[60])/4752 - 
       (123643343*s[61])/64152 - 3*s[62] - 8*s[68] + 8*s[69] - 9*s[71] + 
       4*s[74] - 4*s[75] + 16*s[76] - 8*s[77] - 16*s[78] + 56*s[79] - 
       (25*s[80])/3 + 414*s[82] + 96*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - v]*(-31*s[3] - 239*s[4] + (20653*s[5])/44 + 
       (14343*s[6])/22 + (287695*s[7])/66 + (12668*s[8])/99 - 
       (71599*s[9])/18 - (69301*s[10])/36 - (1108765*s[11])/264 - 
       (939869*s[12])/264 - (23523*s[13])/11 - (453809*s[14])/132 - 
       (82597*s[15])/12 - (348925*s[16])/44 - (2246513*s[17])/264 - 
       (49691*s[18])/54 - (70775*s[19])/108 - (13179623*s[20])/1188 - 
       (5822537*s[21])/1188 + (675685*s[22])/297 - (172869*s[23])/88 + 
       (12656117*s[24])/2376 - (44520551*s[25])/10692 + 
       (19468795*s[26])/5346 - 7*s[32] - 30*s[37] - 14*s[38] + 
       (1381*s[39])/4 - (1205*s[40])/4 + (995*s[41])/4 - (2893*s[42])/4 + 
       (7321*s[43])/44 - (1645*s[44])/88 + (43309*s[45])/44 - 
       (75231*s[46])/22 - (57647*s[47])/88 + (86695*s[48])/88 - 
       (62239*s[49])/88 + (29362*s[50])/11 - (49649*s[51])/88 - 
       (19739*s[52])/88 - (140297*s[53])/66 + (156*s[54])/11 - 
       (1512227*s[55])/88 - (1087159*s[56])/264 - (1222684*s[57])/99 - 
       (4248707*s[58])/2376 + (5129987*s[59])/2376 + (6229077*s[60])/176 - 
       (5676103*s[61])/2673 - 8*s[68] + 8*s[69] - 8*s[77] + 516*s[82] + 
       96*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 
       1 - v]*(8*s[2] - (91*s[3])/2 - (669*s[4])/4 + (6763*s[5])/44 + 
       (2109*s[6])/44 + (973463*s[7])/792 + (68821*s[8])/1188 - 
       (30769*s[9])/27 - (97505*s[10])/108 - (401017*s[11])/396 - 
       (427651*s[12])/792 - (2711*s[13])/88 - (1163561*s[14])/792 - 
       (64661*s[15])/24 - (91318*s[16])/33 - (698815*s[17])/198 - 
       (10769*s[18])/324 - (176527*s[19])/324 - (14282977*s[20])/3564 - 
       (10528847*s[21])/7128 + (4871017*s[22])/7128 - (219489*s[23])/88 + 
       (16762921*s[24])/7128 - (24480667*s[25])/32076 + 
       (12528995*s[26])/16038 - 14*s[30] + 8*s[34] + 32*s[35] + 
       (65*s[36])/3 - (167*s[37])/3 - 193*s[38] + 551*s[39] - 
       (1514*s[40])/3 + 374*s[41] - (4859*s[42])/6 - (8980*s[43])/33 + 
       (28531*s[44])/132 + (19285*s[45])/132 + (19795*s[46])/44 - 
       (161771*s[47])/396 + (173509*s[48])/396 + (107240*s[49])/99 - 
       (2230*s[50])/33 - (51991*s[51])/99 - (210289*s[52])/396 - 
       (23443*s[53])/132 - (476*s[54])/11 - (324655*s[55])/132 - 
       (41024*s[56])/99 - (5681381*s[57])/594 + (10855751*s[58])/3564 - 
       (2553461*s[59])/891 + (440839*s[60])/2376 - (19769837*s[61])/64152 - 
       8*s[68] + 8*s[69] + 9*s[71] + 4*s[74] - 4*s[75] + 16*s[76] - 8*s[77] - 
       16*s[78] + 32*s[79] - (256*s[80])/3 + 516*s[82] + 96*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-263*s[2])/4 + (27*s[3])/2 - (9459*s[4])/8 - (248521*s[5])/176 - 
       (466639*s[6])/176 - (36884219*s[7])/1584 + (8247839*s[8])/4752 + 
       (8610523*s[9])/432 + (2590895*s[10])/432 + (20116289*s[11])/792 + 
       (43223303*s[12])/1584 + (25674017*s[13])/1584 + (5943769*s[14])/1584 + 
       (568955*s[15])/18 + (3895328*s[16])/99 + (16521011*s[17])/528 + 
       (6075653*s[18])/1296 + (476837*s[19])/162 + (335220509*s[20])/7128 + 
       (128848805*s[21])/7128 - (174403871*s[22])/14256 - 
       (2732674*s[23])/99 - (176657599*s[24])/7128 + (8127607877*s[25])/
        256608 - (4699260161*s[26])/256608 - 3*s[29] + (19*s[30])/2 - 
       32*s[31] + (29*s[32])/2 - (115*s[33])/8 + 58*s[34] + 31*s[35] + 
       (997*s[36])/12 - (1025*s[37])/6 - 957*s[38] + (58725*s[39])/16 - 
       (184771*s[40])/48 + (48405*s[41])/16 - (255491*s[42])/48 - 
       (1624721*s[43])/528 + (3178075*s[44])/1056 - (101560*s[45])/33 + 
       (4487385*s[46])/176 - (4911773*s[47])/3168 + (1120561*s[48])/3168 + 
       (42747743*s[49])/3168 - (5066005*s[50])/264 - (11465215*s[51])/3168 - 
       (9235201*s[52])/3168 + (7223047*s[53])/528 - (42983*s[54])/44 + 
       (29720279*s[55])/352 + (69649885*s[56])/3168 - (16688893*s[57])/594 + 
       (1167965555*s[58])/28512 - (1198222961*s[59])/28512 - 
       (3859975745*s[60])/19008 + (2740177541*s[61])/256608 - 2*s[64] - 
       s[65]/4 + 6*s[66] - 10*s[67] - 10*s[68] - 14*s[69] + (25*s[70])/2 + 
       4*s[71] - 20*s[72] + 4*s[73] + (55*s[74])/4 - (103*s[75])/4 + 
       30*s[76] - (37*s[77])/2 - 53*s[78] - 34*s[79] - (230*s[80])/3 + 
       645*s[82] - (39*s[83])/2 - 63*s[84] + 96*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((-41*s[2])/2 + 90*s[3] + (1141*s[4])/4 + (2597*s[5])/44 + 
       (10195*s[6])/22 + (1410509*s[7])/396 - (307729*s[8])/594 - 
       (285265*s[9])/108 - (90881*s[10])/108 - (3183179*s[11])/792 - 
       (932035*s[12])/198 - (2200027*s[13])/792 - (20783*s[14])/792 - 
       (78065*s[15])/18 - (4819819*s[16])/792 - (1160059*s[17])/264 - 
       (41819*s[18])/81 - (242419*s[19])/324 - (23011981*s[20])/3564 - 
       (14239451*s[21])/7128 + (12280231*s[22])/7128 + (3648221*s[23])/792 + 
       (28292083*s[24])/7128 - (352782527*s[25])/64152 + 
       (172125491*s[26])/64152 - 20*s[29] + 8*s[30] - 16*s[31] + s[32]/2 - 
       (31*s[33])/2 + 20*s[34] - 5*s[35] + (10*s[36])/3 - (295*s[37])/6 - 
       15*s[38] - 217*s[39] + (692*s[40])/3 - 208*s[41] + (979*s[42])/3 + 
       (6115*s[43])/33 - (89657*s[44])/264 + (14369*s[45])/66 - 
       (145063*s[46])/66 + (28273*s[47])/792 + (123973*s[48])/792 - 
       (1035835*s[49])/792 + (120347*s[50])/66 + (157565*s[51])/792 + 
       (65273*s[52])/792 - (264383*s[53])/198 + (3394*s[54])/33 - 
       (2166533*s[55])/264 - (150937*s[56])/88 - (700099*s[57])/396 - 
       (5178427*s[58])/2376 + (5825935*s[59])/2376 + (89180593*s[60])/4752 - 
       (34519*s[61])/33 - 4*s[63] + s[64] - 6*s[65] - 16*s[66] + 18*s[67] + 
       6*s[68] + 46*s[69] + 7*s[71] + 18*s[72] - 11*s[74] + 12*s[75] + 
       22*s[76] - 17*s[77] + 10*s[78] - 80*s[79] - (55*s[80])/3 + 489*s[82] + 
       9*s[83] - 30*s[84] + 96*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 0, 1}, 1 - v]*(7*s[2] - (39*s[3])/4 - (1707*s[4])/8 + 
       (1508*s[5])/11 + (7811*s[6])/88 + (1003007*s[7])/1584 + 
       (361231*s[8])/2376 - (67235*s[9])/108 - (75307*s[10])/108 - 
       (631799*s[11])/1584 + (14345*s[12])/99 + (158669*s[13])/528 - 
       (2293763*s[14])/1584 - (82111*s[15])/48 - (144741*s[16])/88 - 
       (4202713*s[17])/1584 - (12491*s[18])/162 - (195895*s[19])/648 - 
       (19168987*s[20])/7128 - (17836757*s[21])/14256 + 
       (4582117*s[22])/14256 - (756599*s[23])/264 + (9948743*s[24])/7128 + 
       (3933373*s[25])/32076 + (15434879*s[26])/32076 - 7*s[30] + 
       (3*s[32])/2 + 5*s[34] + (55*s[35])/2 + (131*s[36])/6 - (130*s[37])/3 - 
       96*s[38] + (1791*s[39])/4 - (5329*s[40])/12 + (1241*s[41])/4 - 
       (8747*s[42])/12 - (15383*s[43])/132 + (51595*s[44])/264 + 
       (47621*s[45])/132 - (10183*s[46])/22 - (329207*s[47])/792 + 
       (445435*s[48])/792 + (412013*s[49])/792 + (20320*s[50])/33 - 
       (365449*s[51])/792 - (368185*s[52])/792 - (42725*s[53])/66 - 
       (6925*s[54])/22 - (1506815*s[55])/264 - (881789*s[56])/792 - 
       (2720543*s[57])/297 + (11950157*s[58])/7128 - (8979581*s[59])/7128 + 
       (39373615*s[60])/4752 - (23060669*s[61])/32076 + s[64] + s[65] - 
       10*s[68] + 10*s[69] - 2*s[71] + 4*s[73] + (11*s[74])/2 - (9*s[75])/2 + 
       12*s[76] - 8*s[77] - 14*s[78] - 40*s[79] + (10*s[80])/3 + 489*s[82] + 
       9*s[83] - 30*s[84] + 96*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 0, 1}, 1 - u]*(8*s[2] - (213*s[3])/4 + (1069*s[4])/8 + 
       (11313*s[5])/44 + (46127*s[6])/88 + (2660881*s[7])/528 - 
       (633757*s[8])/2376 - (118159*s[9])/27 - (46703*s[10])/27 - 
       (8646331*s[11])/1584 - (4530571*s[12])/792 - (5253463*s[13])/1584 - 
       (2363533*s[14])/1584 - (1004201*s[15])/144 - (877258*s[16])/99 - 
       (11688625*s[17])/1584 - (67727*s[18])/81 - (605543*s[19])/648 - 
       (78641813*s[20])/7128 - (57987055*s[21])/14256 + 
       (38787599*s[22])/14256 + (2412919*s[23])/792 + (43990603*s[24])/7128 - 
       (419572583*s[25])/64152 + (246301721*s[26])/64152 - 7*s[30] - 
       4*s[32] - (7*s[33])/4 + 7*s[34] + 26*s[35] + (20*s[36])/3 - 
       (64*s[37])/3 + (217*s[38])/2 - 383*s[39] + (1531*s[40])/3 - 
       425*s[41] + (2899*s[42])/6 + (17243*s[43])/33 - (157423*s[44])/264 + 
       (108281*s[45])/132 - (711991*s[46])/132 - (97357*s[47])/792 + 
       (505091*s[48])/792 - (2061929*s[49])/792 + (292261*s[50])/66 + 
       (296719*s[51])/792 + (161959*s[52])/792 - (294344*s[53])/99 - 
       (14380*s[54])/33 - (5314889*s[55])/264 - (1326613*s[56])/264 - 
       (81073*s[57])/132 - (16618849*s[58])/2376 + (17012515*s[59])/2376 + 
       (232214105*s[60])/4752 - (53607527*s[61])/21384 + 2*s[67] - 7*s[68] + 
       7*s[69] + 2*s[70] + 2*s[72] - 2*s[73] + s[74]/2 - s[75]/2 + 16*s[76] - 
       9*s[77] - 14*s[78] + 108*s[79] - (176*s[80])/3 + 588*s[82] - 9*s[83] + 
       30*s[84] + 96*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1}, 1 - w]*(-20*s[2] - (81*s[3])/2 - (403*s[4])/2 - 
       124*s[5] - (651*s[6])/4 - (57871*s[7])/36 + (32123*s[8])/108 + 
       (35159*s[9])/27 + (467*s[10])/54 + (63913*s[11])/36 + 
       (153223*s[12])/72 + (28999*s[13])/24 - (37759*s[14])/72 + 
       (3985*s[15])/2 + (19113*s[16])/8 + (26449*s[17])/18 + 
       (206119*s[18])/324 - (32525*s[19])/162 + (405119*s[20])/162 + 
       (685133*s[21])/648 - (516601*s[22])/648 - (31481*s[23])/6 - 
       (59168*s[24])/81 + (1773538*s[25])/729 - (1886513*s[26])/1458 - 
       12*s[31] - (9*s[32])/2 - (37*s[33])/4 + 24*s[34] - 2*s[35] + 
       (46*s[36])/3 - (217*s[37])/6 + (17*s[38])/2 - 35*s[39] + 
       (374*s[40])/3 - (269*s[41])/2 - (92*s[42])/3 + (7807*s[43])/33 - 
       (85205*s[44])/264 + (9910*s[45])/33 - (66713*s[46])/33 - 
       (215723*s[47])/792 + (567829*s[48])/792 - (1094923*s[49])/792 + 
       (119657*s[50])/66 - (26815*s[51])/792 - (85363*s[52])/792 - 
       (106708*s[53])/99 - (15173*s[54])/33 - (2130245*s[55])/264 - 
       (416459*s[56])/264 - (484565*s[57])/132 - (3644963*s[58])/2376 + 
       (4248875*s[59])/2376 + (104719537*s[60])/4752 - 
       (8251247*s[61])/10692 + 2*s[67] - 7*s[68] + 7*s[69] + 2*s[70] + 
       s[71] + 2*s[72] - s[74] + 14*s[76] - 9*s[77] - 14*s[78] + 88*s[79] - 
       (139*s[80])/3 + 588*s[82] - 9*s[83] + 30*s[84] + 96*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((23*s[2])/4 + (145*s[3])/8 + (4063*s[4])/16 + (1793*s[5])/16 + 
       (995*s[6])/2 + (1314691*s[7])/288 - (48491*s[8])/216 - 
       (1699027*s[9])/432 - (669107*s[10])/432 - (1508833*s[11])/288 - 
       (832411*s[12])/144 - (350003*s[13])/96 - (213007*s[14])/288 - 
       (539783*s[15])/96 - (125077*s[16])/16 - (1641833*s[17])/288 - 
       (832067*s[18])/1296 - (1348675*s[19])/1296 - (12142103*s[20])/1296 - 
       (8336503*s[21])/2592 + (6438905*s[22])/2592 + (130505*s[23])/48 + 
       (7466365*s[24])/1296 - (154271653*s[25])/23328 + 
       (81425365*s[26])/23328 - 2*s[30] - 2*s[31] - (23*s[32])/4 - 
       (5*s[33])/8 + 8*s[34] - 22*s[35] - (167*s[36])/12 - (343*s[37])/6 + 
       (763*s[38])/4 - (9337*s[39])/16 + (36527*s[40])/48 - (9795*s[41])/16 + 
       (32965*s[42])/48 + (394717*s[43])/528 - (978971*s[44])/1056 + 
       (221933*s[45])/264 - (3244097*s[46])/528 - (863591*s[47])/3168 + 
       (3226363*s[48])/3168 - (12468931*s[49])/3168 + (666349*s[50])/132 + 
       (1504535*s[51])/3168 + (1127633*s[52])/3168 - (4778371*s[53])/1584 - 
       (234697*s[54])/264 - (21231281*s[55])/1056 - (5042899*s[56])/1056 + 
       (110278*s[57])/99 - (8614381*s[58])/1056 + (25689853*s[59])/3168 + 
       (1086013537*s[60])/19008 - (208143365*s[61])/85536 - s[65] - 4*s[66] + 
       8*s[67] - s[68] + 17*s[69] + 17*s[70] + s[71]/4 - 4*s[72] - 16*s[73] - 
       (39*s[74])/4 - (9*s[75])/4 + 8*s[76] - 22*s[77] - s[78] + 124*s[79] - 
       (275*s[80])/6 + 285*s[82] - (21*s[83])/2 + 99*s[84] + 96*s[85]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - u]*(5*s[2] - (169*s[3])/6 + 
       (6381*s[4])/4 + (82703*s[5])/66 + (380087*s[6])/132 + 
       (1207857*s[7])/44 - (3931121*s[8])/1782 - (7554935*s[9])/324 - 
       (2389003*s[10])/324 - (71236705*s[11])/2376 - (38719825*s[12])/1188 - 
       (46082713*s[13])/2376 - (8866645*s[14])/2376 - (1990253*s[15])/54 - 
       (110106883*s[16])/2376 - (85715017*s[17])/2376 - (1243570*s[18])/243 - 
       (3874937*s[19])/972 - (147151886*s[20])/2673 - 
       (428670379*s[21])/21384 + (309449837*s[22])/21384 + 
       (73879955*s[23])/2376 + (638961845*s[24])/21384 - 
       (7297661131*s[25])/192456 + (4042906099*s[26])/192456 + (14*s[30])/3 + 
       (52*s[31])/3 - (15*s[32])/2 + (71*s[33])/6 - 26*s[34] - (50*s[35])/3 - 
       (617*s[36])/9 + (129*s[37])/2 + (2845*s[38])/3 - (45659*s[39])/12 + 
       (152477*s[40])/36 - (13487*s[41])/4 + (198649*s[42])/36 + 
       (1321567*s[43])/396 - (1385029*s[44])/396 + (168719*s[45])/44 - 
       (5981435*s[46])/198 + (1562159*s[47])/1188 + (173335*s[48])/594 - 
       (18101087*s[49])/1188 + (4646801*s[50])/198 + (1141057*s[51])/297 + 
       (1792385*s[52])/594 - (19339721*s[53])/1188 + (43514*s[54])/99 - 
       (13604873*s[55])/132 - (31781345*s[56])/1188 + (22654721*s[57])/891 - 
       (497382517*s[58])/10692 + (506618533*s[59])/10692 + 
       (221098021*s[60])/891 - (626846927*s[61])/48114 - s[65]/3 - 
       (4*s[66])/3 - (2*s[67])/3 + (28*s[68])/3 + (4*s[69])/3 - (8*s[70])/3 - 
       (5*s[71])/3 + (52*s[72])/3 - (8*s[73])/3 - 19*s[74] + 19*s[75] - 
       (94*s[76])/3 + (28*s[77])/3 + (76*s[78])/3 + 364*s[79] - 
       (221*s[80])/3 + 304*s[82] + s[83] + 166*s[84] + 96*s[85]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((19*s[2])/2 + (251*s[3])/6 + (6255*s[4])/4 + (187753*s[5])/132 + 
       (98588*s[6])/33 + (1863649*s[7])/66 - (7867801*s[8])/3564 - 
       (7787201*s[9])/324 - (619921*s[10])/81 - (72765523*s[11])/2376 - 
       (19608779*s[12])/594 - (46202797*s[13])/2376 - (10525513*s[14])/2376 - 
       (2070131*s[15])/54 - (113532505*s[16])/2376 - (89840857*s[17])/2376 - 
       (2674001*s[18])/486 - (3818213*s[19])/972 - (306422107*s[20])/5346 - 
       (452899213*s[21])/21384 + (317208245*s[22])/21384 + 
       (75569915*s[23])/2376 + (651986783*s[24])/21384 - 
       (3699040043*s[25])/96228 + (2091380789*s[26])/96228 - 4*s[27] + 
       (14*s[30])/3 - (11*s[31])/3 - 5*s[32] - (119*s[33])/12 - 10*s[34] - 
       (50*s[35])/3 - (860*s[36])/9 + (509*s[37])/6 + (2836*s[38])/3 - 
       (22903*s[39])/6 + (76351*s[40])/18 - 3356*s[41] + (49840*s[42])/9 + 
       (673163*s[43])/198 - (2762147*s[44])/792 + (133024*s[45])/33 - 
       (6120401*s[46])/198 + (3115129*s[47])/2376 + (536245*s[48])/2376 - 
       (36312811*s[49])/2376 + (4736801*s[50])/198 + (9130805*s[51])/2376 + 
       (7285595*s[52])/2376 - (19972769*s[53])/1188 + (61304*s[54])/99 - 
       (28164943*s[55])/264 - (65594725*s[56])/2376 + (85246049*s[57])/3564 - 
       (1007184965*s[58])/21384 + (1030510841*s[59])/21384 + 
       (3611994565*s[60])/14256 - (646923743*s[61])/48114 + 8*s[62] - 
       s[65]/3 - (4*s[66])/3 - (2*s[67])/3 + (19*s[68])/3 - (29*s[69])/3 - 
       (8*s[70])/3 - (5*s[71])/3 + (52*s[72])/3 - (8*s[73])/3 - 19*s[74] + 
       19*s[75] - (31*s[76])/3 + (19*s[77])/3 + (58*s[78])/3 + 320*s[79] - 
       58*s[80] + 304*s[82] + s[83] + 166*s[84] + 96*s[85]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - w]*(41*s[2] - (79*s[3])/6 + 
       1606*s[4] + (85673*s[5])/66 + (197287*s[6])/66 + (2460781*s[7])/88 - 
       (7982857*s[8])/3564 - (7680299*s[9])/324 - (2429203*s[10])/324 - 
       (9077372*s[11])/297 - (39426223*s[12])/1188 - (23611019*s[13])/1188 - 
       (1119893*s[14])/297 - (8103899*s[15])/216 - (112161463*s[16])/2376 - 
       (43659029*s[17])/1188 - (4998685*s[18])/972 - (2002819*s[19])/486 - 
       (598201403*s[20])/10692 - (109253929*s[21])/5346 + 
       (39364870*s[22])/2673 + (74716373*s[23])/2376 + 
       (652612229*s[24])/21384 - (7452552109*s[25])/192456 + 
       (4134141661*s[26])/192456 - s[30]/3 + (52*s[31])/3 - 5*s[32] + 
       (71*s[33])/6 - 26*s[34] + (94*s[35])/3 - (806*s[36])/9 + 
       (509*s[37])/6 + (2896*s[38])/3 - (23143*s[39])/6 + (77035*s[40])/18 - 
       3374*s[41] + (50182*s[42])/9 + (679247*s[43])/198 - 
       (2814707*s[44])/792 + (130678*s[45])/33 - (6100169*s[46])/198 + 
       (3057097*s[47])/2376 + (825109*s[48])/2376 - (36872107*s[49])/2376 + 
       (4712537*s[50])/198 + (9112517*s[51])/2376 + (7284875*s[52])/2376 - 
       (19747337*s[53])/1188 + (43448*s[54])/99 - (9277621*s[55])/88 - 
       (65053861*s[56])/2376 + (90920801*s[57])/3564 - 
       (1014025253*s[58])/21384 + (1035188105*s[59])/21384 + 
       (3602533621*s[60])/14256 - (641734019*s[61])/48114 + 8*s[62] - 
       s[65]/3 - (4*s[66])/3 - (2*s[67])/3 + (19*s[68])/3 - (5*s[69])/3 - 
       (8*s[70])/3 - (5*s[71])/3 + (52*s[72])/3 - (8*s[73])/3 - 19*s[74] + 
       19*s[75] - (31*s[76])/3 + (19*s[77])/3 + (58*s[78])/3 + 320*s[79] - 
       58*s[80] + 304*s[82] + s[83] + 166*s[84] + 96*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((1235*s[2])/36 + (1867*s[3])/72 + (244081*s[4])/144 + 
       (1087513*s[5])/792 + (1689103*s[6])/528 + (210191947*s[7])/7128 - 
       (24942569*s[8])/10692 - (97437835*s[9])/3888 - (30343913*s[10])/3888 - 
       (923041409*s[11])/28512 - (503674703*s[12])/14256 - 
       (603769597*s[13])/28512 - (113730689*s[14])/28512 - 
       (50852227*s[15])/1296 - (1416847669*s[16])/28512 - 
       (40442939*s[17])/1056 - (63927731*s[18])/11664 - 
       (49576243*s[19])/11664 - (1893401617*s[20])/32076 - 
       (5532851531*s[21])/256608 + (3992884813*s[22])/256608 + 
       (959742599*s[23])/28512 + (8253926899*s[24])/256608 - 
       (94697198483*s[25])/2309472 + (52503820439*s[26])/2309472 - 
       (11*s[30])/6 + (146*s[31])/9 - (47*s[32])/3 + (193*s[33])/12 - 
       (57*s[34])/2 - (47*s[35])/6 - (3209*s[36])/54 + (5543*s[37])/54 + 
       (1937*s[38])/2 - (11321*s[39])/3 + (226247*s[40])/54 - 
       (118219*s[41])/36 + (146213*s[42])/27 + (999623*s[43])/297 - 
       (33282151*s[44])/9504 + (2239067*s[45])/594 - (2931920*s[46])/99 + 
       (34744613*s[47])/28512 + (14712293*s[48])/28512 - 
       (432681167*s[49])/28512 + (6758957*s[50])/297 + 
       (106270777*s[51])/28512 + (85650007*s[52])/28512 - 
       (24980411*s[53])/1584 + (471811*s[54])/792 - (35247743*s[55])/352 - 
       (749070457*s[56])/28512 + (70480481*s[57])/2673 - 
       (11842998785*s[58])/256608 + (12032512073*s[59])/256608 + 
       (41612140241*s[60])/171072 - (919942498*s[61])/72171 - s[64]/3 - 
       (2*s[65])/9 - (14*s[66])/9 + (10*s[67])/9 - (92*s[68])/9 + 
       (22*s[69])/9 - (29*s[70])/9 - (41*s[71])/18 + (29*s[72])/3 - 
       (119*s[73])/9 - (557*s[74])/36 + (557*s[75])/36 - (208*s[76])/9 - 
       (33*s[77])/2 + (163*s[78])/9 + (2833*s[79])/9 - (1372*s[80])/27 + 
       338*s[82] - (5*s[83])/6 + 151*s[84] + (292*s[85])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*
      ((355*s[2])/24 + (1703*s[3])/48 + (263813*s[4])/288 + 
       (1174841*s[5])/1584 + (5717989*s[6])/3168 + (51069439*s[7])/3168 - 
       (18064577*s[8])/14256 - (35328359*s[9])/2592 - (11484079*s[10])/2592 - 
       (335037793*s[11])/19008 - (181442527*s[12])/9504 - 
       (216473467*s[13])/19008 - (46464289*s[14])/19008 - 
       (9367777*s[15])/432 - (521447479*s[16])/19008 - 
       (409644637*s[17])/19008 - (11687417*s[18])/3888 - 
       (9356839*s[19])/3888 - (2779868063*s[20])/85536 - 
       (2041610779*s[21])/171072 + (1449578369*s[22])/171072 + 
       (338559167*s[23])/19008 + (3034433489*s[24])/171072 - 
       (34203232375*s[25])/1539648 + (19129234687*s[26])/1539648 + s[29]/4 + 
       s[30]/6 + (35*s[31])/12 - (37*s[32])/12 - s[33] + 2*s[34] - 
       (53*s[35])/12 - (449*s[36])/12 + (1595*s[37])/72 + (18779*s[38])/36 - 
       (311075*s[39])/144 + (349475*s[40])/144 - (277561*s[41])/144 + 
       (49949*s[42])/16 + (3074429*s[43])/1584 - (13049279*s[44])/6336 + 
       (1807103*s[45])/792 - (28026409*s[46])/1584 + (12383593*s[47])/19008 + 
       (7172497*s[48])/19008 - (169625737*s[49])/19008 + 
       (5434399*s[50])/396 + (13361809*s[51])/6336 + (31838579*s[52])/19008 - 
       (90743929*s[53])/9504 + (15749*s[54])/132 - (1151583907*s[55])/19008 - 
       (100139425*s[56])/6336 + (22896491*s[57])/1584 - 
       (1550382809*s[58])/57024 + (1581258653*s[59])/57024 + 
       (16611134563*s[60])/114048 - (1996703573*s[61])/256608 - s[65]/4 - 
       (3*s[66])/4 + (3*s[67])/2 - (7*s[68])/4 + (19*s[69])/4 - s[70]/2 - 
       (3*s[71])/4 + (17*s[72])/2 - (3*s[73])/2 - (239*s[74])/24 + 
       (239*s[75])/24 - (14*s[76])/3 - (71*s[77])/12 + 8*s[78] + 190*s[79] - 
       (547*s[80])/12 + 404*s[82] + (3*s[83])/4 + (177*s[84])/2 + 
       102*s[85]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*((117*s[2])/2 - (209*s[3])/12 + (6731*s[4])/4 + 
       (431273*s[5])/264 + (318855*s[6])/88 + (2841693*s[7])/88 - 
       (8616955*s[8])/3564 - (8925959*s[9])/324 - (2833297*s[10])/324 - 
       (167721569*s[11])/4752 - (90629213*s[12])/2376 - 
       (108152189*s[13])/4752 - (25187135*s[14])/4752 - (1168627*s[15])/27 - 
       (259822217*s[16])/4752 - (204476009*s[17])/4752 - 
       (12170327*s[18])/1944 - (8537959*s[19])/1944 - 
       (699713129*s[20])/10692 - (1047848591*s[21])/42768 + 
       (729295231*s[22])/42768 + (170134549*s[23])/4752 + 
       (1493477929*s[24])/42768 - (16980632501*s[25])/384912 + 
       (9657074057*s[26])/384912 + (19*s[30])/6 + (76*s[31])/3 - 
       (19*s[32])/2 + (145*s[33])/12 - (83*s[34])/2 - (71*s[35])/3 - 
       (1897*s[36])/18 + (689*s[37])/6 + (2185*s[38])/2 - (107915*s[39])/24 + 
       (358837*s[40])/72 - (93733*s[41])/24 + (470453*s[42])/72 + 
       (272893*s[43])/72 - (297835*s[44])/72 + (50365*s[45])/12 - 
       (2451217*s[46])/72 + (174577*s[47])/108 + (57335*s[48])/216 - 
       (472720*s[49])/27 + (940811*s[50])/36 + (970921*s[51])/216 + 
       (387203*s[52])/108 - (488257*s[53])/27 + (11657*s[54])/18 - 
       (1025539*s[55])/9 - (816511*s[56])/27 + (21948731*s[57])/648 - 
       (104796667*s[58])/1944 + (53023109*s[59])/972 + 
       (179121865*s[60])/648 - (514575227*s[61])/34992 - (17*s[65])/6 - 
       (71*s[66])/6 + (52*s[67])/3 + (34*s[68])/3 + (143*s[69])/6 + s[70]/3 + 
       (5*s[71])/6 + (82*s[72])/3 - (68*s[73])/3 - 28*s[74] + 28*s[75] - 
       (70*s[76])/3 - (79*s[77])/6 + (148*s[78])/3 + 374*s[79] - 
       (247*s[80])/3 + 348*s[82] + (17*s[83])/2 + 163*s[84] + 108*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*((1423*s[2])/36 + (247*s[3])/18 + (117535*s[4])/72 + 
       (272519*s[5])/198 + (4866757*s[6])/1584 + (90990805*s[7])/3168 - 
       (907879*s[8])/396 - (440261*s[9])/18 - (120367*s[10])/16 - 
       (24972667*s[11])/792 - (109154173*s[12])/3168 - 
       (65150315*s[13])/3168 - (1359277*s[14])/352 - (10987411*s[15])/288 - 
       (76619503*s[16])/1584 - (19669913*s[17])/528 - (1182503*s[18])/216 - 
       (1717601*s[19])/432 - (273272705*s[20])/4752 - 
       (200116195*s[21])/9504 + (144305239*s[22])/9504 + 
       (35652437*s[23])/1056 + (32658613*s[24])/1056 - 
       (1137112627*s[25])/28512 + (630670921*s[26])/28512 + (46*s[30])/9 + 
       (193*s[31])/9 - (191*s[32])/12 + (155*s[33])/8 - (104*s[34])/3 - 
       (227*s[35])/18 - (859*s[36])/12 + (2329*s[37])/18 + (38381*s[38])/36 - 
       (207811*s[39])/48 + (230015*s[40])/48 - (534679*s[41])/144 + 
       (302113*s[42])/48 + (5644631*s[43])/1584 - (3096487*s[44])/792 + 
       (3094867*s[45])/792 - (50544727*s[46])/1584 + (3933893*s[47])/2376 + 
       (408763*s[48])/4752 - (39221027*s[49])/2376 + (9690391*s[50])/396 + 
       (20616509*s[51])/4752 + (16366811*s[52])/4752 - 
       (80086999*s[53])/4752 + (305801*s[54])/396 - (503924329*s[55])/4752 - 
       (66843947*s[56])/2376 + (484670569*s[57])/14256 - 
       (2185195829*s[58])/42768 + (2204981519*s[59])/42768 + 
       (1845738487*s[60])/7128 - (1314534311*s[61])/96228 - s[64]/3 - 
       2*s[65] - (20*s[66])/3 + 12*s[67] + (58*s[68])/9 + (113*s[69])/9 - 
       (8*s[70])/3 + (5*s[71])/12 + (53*s[72])/3 - 24*s[73] - 
       (827*s[74])/36 + (827*s[75])/36 - (175*s[76])/9 - (67*s[77])/6 + 
       33*s[78] + (1208*s[79])/3 - (923*s[80])/9 + (3083*s[82])/6 + 
       (5*s[83])/2 + 168*s[84] + 108*s[85]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*((233*s[2])/6 + 57*s[3] + 
       (24341*s[4])/12 + (5605*s[5])/4 + (44323*s[6])/12 + 
       (1762891*s[7])/54 - (213196*s[8])/81 - (8926351*s[9])/324 - 
       (687488*s[10])/81 - (15574601*s[11])/432 - (2137289*s[12])/54 - 
       (3452141*s[13])/144 - (1699271*s[14])/432 - (1029131*s[15])/24 - 
       (7911343*s[16])/144 - (18110587*s[17])/432 - (11554639*s[18])/1944 - 
       (9320531*s[19])/1944 - (62678975*s[20])/972 - (90798581*s[21])/3888 + 
       (66873913*s[22])/3888 + (5508307*s[23])/144 + (137844445*s[24])/3888 - 
       (1609009151*s[25])/34992 + (879611783*s[26])/34992 - 2*s[29] + 
       (17*s[30])/6 + (58*s[31])/3 - (19*s[32])/3 + (79*s[33])/6 - 
       (97*s[34])/3 - (34*s[35])/3 - (896*s[36])/9 + (3403*s[37])/36 + 
       (2389*s[38])/2 - (57227*s[39])/12 + (191945*s[40])/36 - 
       (50189*s[41])/12 + (496061*s[42])/72 + (1634551*s[43])/396 - 
       (7033819*s[44])/1584 + (3516869*s[45])/792 - (28580065*s[46])/792 + 
       (7679333*s[47])/4752 + (2708873*s[48])/4752 - (90114173*s[49])/4752 + 
       (10979893*s[50])/396 + (22454935*s[51])/4752 + (18086335*s[52])/4752 - 
       (5632876*s[53])/297 + (42847*s[54])/99 - (189866395*s[55])/1584 - 
       (16746371*s[56])/528 + (10754729*s[57])/297 - (814839605*s[58])/
        14256 + (822826715*s[59])/14256 + (8413745165*s[60])/28512 - 
       (218970701*s[61])/14256 + 2*s[63] - s[64]/2 - (4*s[65])/3 - 
       (53*s[66])/6 + (47*s[67])/3 + (26*s[68])/3 + (121*s[69])/6 - s[70]/3 - 
       (5*s[71])/3 + (68*s[72])/3 - 28*s[73] - 26*s[74] + (51*s[75])/2 - 
       (67*s[76])/3 - (41*s[77])/6 + (116*s[78])/3 + (1360*s[79])/3 - 
       (1775*s[80])/18 + 374*s[82] + (5*s[83])/2 + 195*s[84] + 108*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      ((124*s[2])/3 + (979*s[3])/24 + (91045*s[4])/48 + (130721*s[5])/88 + 
       (1860953*s[6])/528 + (305877767*s[7])/9504 - (12116243*s[8])/4752 - 
       (5896295*s[9])/216 - (1827139*s[10])/216 - (112208179*s[11])/3168 - 
       (15338561*s[12])/396 - (220983475*s[13])/9504 - 
       (13193167*s[14])/3168 - (36826769*s[15])/864 - 
       (128766631*s[16])/2376 - (395592779*s[17])/9504 - 
       (3904967*s[18])/648 - (5999915*s[19])/1296 - (915289115*s[20])/14256 - 
       (8257405*s[21])/352 + (484011541*s[22])/28512 + 
       (44330437*s[23])/1188 + (124391939*s[24])/3564 - 
       (1921620527*s[25])/42768 + (1061862011*s[26])/42768 + (7*s[30])/6 + 
       (58*s[31])/3 - (137*s[32])/12 + (34*s[33])/3 - (193*s[34])/6 - 
       (115*s[35])/6 - (1723*s[36])/18 + (1427*s[37])/12 + (3478*s[38])/3 - 
       (27601*s[39])/6 + (46094*s[40])/9 - (48019*s[41])/12 + 
       (477551*s[42])/72 + (777179*s[43])/198 - (6730675*s[44])/1584 + 
       (1165931*s[45])/264 - (27840443*s[46])/792 + (7618799*s[47])/4752 + 
       (1958111*s[48])/4752 - (86070779*s[49])/4752 + (10699915*s[50])/396 + 
       (21866497*s[51])/4752 + (17555875*s[52])/4752 - (5502869*s[53])/297 + 
       (170273*s[54])/396 - (185825851*s[55])/1584 - (147528245*s[56])/4752 + 
       (124282475*s[57])/3564 - (2383929571*s[58])/42768 + 
       (2402280193*s[59])/42768 + (8185472939*s[60])/28512 - 
       (5826224227*s[61])/384912 - s[65]/3 - (19*s[66])/3 + (41*s[67])/3 + 
       (23*s[68])/3 + (44*s[69])/3 + (5*s[70])/3 - (5*s[71])/3 + 
       (55*s[72])/3 - (59*s[73])/3 - (305*s[74])/12 + (305*s[75])/12 - 
       21*s[76] - (25*s[77])/6 + (77*s[78])/3 + 400*s[79] - (505*s[80])/6 + 
       374*s[82] + (5*s[83])/2 + 195*s[84] + 108*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((151*s[2])/2 + (6671*s[3])/72 + (415147*s[4])/144 + 
       (1637909*s[5])/792 + (454153*s[6])/88 + (166987105*s[7])/3564 - 
       (163438199*s[8])/42768 - (38527273*s[9])/972 - (47122331*s[10])/3888 - 
       (1472239553*s[11])/28512 - (1614821689*s[12])/28512 - 
       (18045245*s[13])/528 - (76708657*s[14])/14256 - (4454461*s[15])/72 - 
       (374033485*s[16])/4752 - (1711855465*s[17])/28512 - 
       (6293060*s[18])/729 - (4956172*s[19])/729 - (5941343699*s[20])/64152 - 
       (2153374811*s[21])/64152 + (1583698681*s[22])/64152 + 
       (176270027*s[23])/3168 + (13009320883*s[24])/256608 - 
       (152232701057*s[25])/2309472 + (83245984199*s[26])/2309472 + 
       (43*s[30])/18 + (301*s[31])/9 - (479*s[32])/36 + (219*s[33])/8 - 
       (983*s[34])/18 - (535*s[35])/18 - (6755*s[36])/54 + 
       (16675*s[37])/108 + 1684*s[38] - (121195*s[39])/18 + 
       (201802*s[40])/27 - (210295*s[41])/36 + (1050395*s[42])/108 + 
       (3425665*s[43])/594 - (58459915*s[44])/9504 + (14823539*s[45])/2376 - 
       (39924793*s[46])/792 + (67527245*s[47])/28512 + 
       (13392989*s[48])/28512 - (750597731*s[49])/28512 + 
       (22969465*s[50])/594 + (189886189*s[51])/28512 + 
       (152996659*s[52])/28512 - (126582235*s[53])/4752 + 
       (120137*s[54])/132 - (1595484307*s[55])/9504 - 
       (1258401289*s[56])/28512 + (2181378179*s[57])/42768 - 
       (20519438285*s[58])/256608 + (20787789575*s[59])/256608 + 
       (70237639337*s[60])/171072 - (49531710707*s[61])/2309472 - s[64]/3 - 
       2*s[65] - (20*s[66])/3 + 12*s[67] + (49*s[68])/9 + (131*s[69])/9 - 
       (7*s[70])/3 - (37*s[71])/12 + (77*s[72])/3 - (95*s[73])/6 - 
       (1231*s[74])/36 + (1225*s[75])/36 - (125*s[76])/3 - (27*s[77])/2 + 
       (901*s[78])/18 + (5090*s[79])/9 - (2488*s[80])/27 + (641*s[82])/6 + 
       (5*s[83])/2 + 256*s[84] + 108*s[85]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-143*s[2])/18 + 33*s[3] + (1571*s[4])/36 + (19258*s[5])/99 + 
       (482663*s[6])/1584 + (13914137*s[7])/4752 - (588791*s[8])/4752 - 
       (1078363*s[9])/432 - (135047*s[10])/108 - (9661243*s[11])/3168 - 
       (9374405*s[12])/3168 - (7426291*s[13])/4752 - (236685*s[14])/176 - 
       (1970297*s[15])/432 - (26158243*s[16])/4752 - (48996061*s[17])/9504 - 
       (25709*s[18])/48 - (292193*s[19])/432 - (2788645*s[20])/396 - 
       (9611147*s[21])/3564 + (21670403*s[22])/14256 + (5790463*s[23])/9504 + 
       (110887129*s[24])/28512 - (881162377*s[25])/256608 + 
       (578988133*s[26])/256608 - (10*s[30])/9 - (101*s[31])/18 + 
       (101*s[32])/36 - (95*s[33])/24 + (35*s[34])/2 - (59*s[35])/9 + 
       (85*s[36])/9 - (925*s[37])/72 + 109*s[38] - (13279*s[39])/36 + 
       (5407*s[40])/12 - (3305*s[41])/9 + 467*s[42] + (23619*s[43])/44 - 
       (563191*s[44])/1056 + (1278257*s[45])/1584 - (917255*s[46])/176 - 
       (901163*s[47])/9504 + (5893273*s[48])/9504 - (24471769*s[49])/9504 + 
       (282827*s[50])/66 + (3292799*s[51])/9504 + (1538621*s[52])/9504 - 
       (291287*s[53])/99 - (364789*s[54])/792 - (62248727*s[55])/3168 - 
       (44012855*s[56])/9504 - (22571927*s[57])/14256 - 
       (550285165*s[58])/85536 + (577677457*s[59])/85536 + 
       (2705720881*s[60])/57024 - (58793021*s[61])/24057 - s[64]/4 + 
       s[65]/12 + s[66]/6 - (2*s[67])/3 - (35*s[68])/6 + s[69] + 
       (13*s[70])/2 + (17*s[71])/12 - 4*s[72] - s[73]/2 + (25*s[74])/18 - 
       (41*s[75])/36 + (76*s[76])/9 - (169*s[77])/18 - (35*s[78])/3 + 
       (239*s[79])/6 - (907*s[80])/36 + (3695*s[82])/6 - (5*s[83])/2 + 
       27*s[84] + (326*s[85])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*((343*s[2])/18 + (929*s[3])/12 + 
       (55859*s[4])/36 + (142589*s[5])/144 + (184355*s[6])/72 + 
       (6823349*s[7])/288 - (2530727*s[8])/1296 - (25853039*s[9])/1296 - 
       (496894*s[10])/81 - (5650721*s[11])/216 - (24877771*s[12])/864 - 
       (15014891*s[13])/864 - (2081525*s[14])/864 - (27076025*s[15])/864 - 
       (4303915*s[16])/108 - (6529931*s[17])/216 - (16593841*s[18])/3888 - 
       (14158433*s[19])/3888 - (181354423*s[20])/3888 - 
       (130510181*s[21])/7776 + (96814219*s[22])/7776 + 
       (24504313*s[23])/864 + (201414349*s[24])/7776 - 
       (1173051187*s[25])/34992 + (318403691*s[26])/17496 + (61*s[30])/18 + 
       (38*s[31])/9 + (29*s[32])/9 + (7*s[33])/12 - 5*s[34] - (86*s[35])/9 - 
       (502*s[36])/9 + (340*s[37])/9 + 927*s[38] - (253097*s[39])/72 + 
       (283573*s[40])/72 - (224275*s[41])/72 + (359411*s[42])/72 + 
       (2587679*s[43])/792 - (661241*s[44])/198 + (722453*s[45])/198 - 
       (2490475*s[46])/88 + (2404595*s[47])/2376 + (886999*s[48])/1188 - 
       (70282633*s[49])/4752 + (2167513*s[50])/99 + (16234013*s[51])/4752 + 
       (6514429*s[52])/2376 - (3998057*s[53])/264 - (71173*s[54])/792 - 
       (76285177*s[55])/792 - (117366971*s[56])/4752 + 
       (162119239*s[57])/7128 - (1851647821*s[58])/42768 + 
       (1894860709*s[59])/42768 + (6685485175*s[60])/28512 - 
       (4667943763*s[61])/384912 + s[65]/6 + (2*s[66])/3 - (2*s[67])/3 - 
       (5*s[68])/6 - s[69] + (23*s[70])/3 - (9*s[71])/2 + (26*s[72])/3 - 
       s[73]/3 - (227*s[74])/18 + (245*s[75])/18 - (77*s[76])/9 - 
       (169*s[77])/18 + (16*s[78])/3 + 295*s[79] - (311*s[80])/6 + 
       (1451*s[82])/6 - (5*s[83])/2 + 115*s[84] + (326*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      ((28*s[2])/3 - 46*s[3] - (1609*s[4])/6 + (28295*s[5])/132 + 
       (4761*s[6])/22 + (685813*s[7])/594 + (234277*s[8])/1782 - 
       (190549*s[9])/162 - (287539*s[10])/324 - (2115583*s[11])/2376 - 
       (778739*s[12])/2376 + (123511*s[13])/396 - (2600285*s[14])/1188 - 
       (29995*s[15])/12 - (1079245*s[16])/396 - (8788991*s[17])/2376 - 
       (456229*s[18])/972 + (6029*s[19])/486 - (12303263*s[20])/2673 - 
       (23393555*s[21])/10692 + (3398909*s[22])/5346 - (1500505*s[23])/792 + 
       (36553271*s[24])/21384 - (12095795*s[25])/96228 + 
       (48917629*s[26])/48114 - (16*s[30])/3 + (28*s[34])/3 + 28*s[35] + 
       (296*s[36])/9 - (248*s[37])/9 - (277*s[38])/3 + (5015*s[39])/12 - 
       (13445*s[40])/36 + (2861*s[41])/12 - (24385*s[42])/36 - 
       (41191*s[43])/396 + (62003*s[44])/792 + (169075*s[45])/396 - 
       (37652*s[46])/33 - (1018669*s[47])/2376 + (1778213*s[48])/2376 + 
       (876049*s[49])/2376 + (110387*s[50])/99 - (826805*s[51])/2376 - 
       (1208921*s[52])/2376 - (98938*s[53])/99 + (557*s[54])/66 - 
       (2160629*s[55])/264 - (5462821*s[56])/2376 - (7979023*s[57])/891 + 
       (14819467*s[58])/21384 - (9192055*s[59])/21384 + 
       (207062387*s[60])/14256 - (54901229*s[61])/48114 - 4*s[62] - 
       (28*s[68])/3 + (28*s[69])/3 - 2*s[71] + (14*s[74])/3 - (14*s[75])/3 + 
       (32*s[76])/3 - (28*s[77])/3 - (56*s[78])/3 + (128*s[79])/3 - 
       (346*s[80])/9 + 722*s[82] + 112*s[85]) + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u]*((46*s[2])/3 - 5*s[3] - 
       (377*s[4])/3 + (50597*s[5])/132 + (31763*s[6])/66 + 
       (4183715*s[7])/1188 + (1577*s[8])/594 - (171113*s[9])/54 - 
       (164513*s[10])/108 - (920473*s[11])/264 - (2423005*s[12])/792 - 
       (1766389*s[13])/1188 - (80881*s[14])/33 - (308869*s[15])/54 - 
       (7966843*s[16])/1188 - (16278733*s[17])/2376 - (22688*s[18])/27 - 
       (18515*s[19])/36 - (10964887*s[20])/1188 - (7072795*s[21])/1782 + 
       (6547499*s[22])/3564 + (581731*s[23])/2376 + (31675561*s[24])/7128 - 
       (112502501*s[25])/32076 + (46577875*s[26])/16038 - (8*s[32])/3 + 
       (16*s[34])/3 + (32*s[36])/9 - (160*s[37])/9 - (95*s[38])/3 + 
       (1163*s[39])/12 - (1169*s[40])/36 - (67*s[41])/12 - (8581*s[42])/36 + 
       (84461*s[43])/396 - (215053*s[44])/792 + (294713*s[45])/396 - 
       (670583*s[46])/198 - (776605*s[47])/2376 + (1708229*s[48])/2376 - 
       (2478989*s[49])/2376 + (261290*s[50])/99 - (387011*s[51])/2376 - 
       (642281*s[52])/2376 - (1286215*s[53])/594 - (2683*s[54])/99 - 
       (12422323*s[55])/792 - (3150205*s[56])/792 - (471403*s[57])/66 - 
       (19227529*s[58])/7128 + (23563033*s[59])/7128 + 
       (461710901*s[60])/14256 - (31112339*s[61])/16038 - (28*s[68])/3 + 
       (28*s[69])/3 - (28*s[77])/3 - (32*s[80])/9 + 722*s[82] + 112*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*
      (55*s[2] + (5*s[3])/6 + (3421*s[4])/2 + (210253*s[5])/132 + 
       (472751*s[6])/132 + (6319531*s[7])/198 - (4330025*s[8])/1782 - 
       (8808281*s[9])/324 - (695077*s[10])/81 - (82960153*s[11])/2376 - 
       (44928577*s[12])/1188 - (53656609*s[13])/2376 - 
       (11957095*s[14])/2376 - (4611829*s[15])/108 - (128284471*s[16])/2376 - 
       (100504165*s[17])/2376 - (6004549*s[18])/972 - (4218815*s[19])/972 - 
       (172401968*s[20])/2673 - (514219711*s[21])/21384 + 
       (360195587*s[22])/21384 + (85349699*s[23])/2376 + 
       (737483807*s[24])/21384 - (8423970139*s[25])/192456 + 
       (4766407075*s[26])/192456 + (11*s[30])/3 + (70*s[31])/3 - 8*s[32] + 
       (139*s[33])/12 - 37*s[34] - (68*s[35])/3 - (884*s[36])/9 + 
       (667*s[37])/6 + (3253*s[38])/3 - (13385*s[39])/3 + (44567*s[40])/9 - 
       (7749*s[41])/2 + (58303*s[42])/9 + (34073*s[43])/9 - 
       (295825*s[44])/72 + (50689*s[45])/12 - (1225421*s[46])/36 + 
       (341765*s[47])/216 + (65813*s[48])/216 - (3765083*s[49])/216 + 
       (469939*s[50])/18 + (958777*s[51])/216 + (768097*s[52])/216 - 
       (488269*s[53])/27 + (5872*s[54])/9 - (2737079*s[55])/24 - 
       (6547409*s[56])/216 + (5439317*s[57])/162 - (104655175*s[58])/1944 + 
       (105875809*s[59])/1944 + (358377083*s[60])/1296 - 
       (257912809*s[61])/17496 - (7*s[65])/3 - (28*s[66])/3 + (40*s[67])/3 + 
       (28*s[68])/3 + (52*s[69])/3 + (4*s[70])/3 + s[71]/3 + (76*s[72])/3 - 
       (56*s[73])/3 - 26*s[74] + 26*s[75] - (76*s[76])/3 - (32*s[77])/3 + 
       (130*s[78])/3 + 376*s[79] - (247*s[80])/3 + 372*s[82] + 7*s[83] + 
       166*s[84] + 112*s[85]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 
       1 - u]*((46*s[2])/3 + (212*s[3])/3 + (5116*s[4])/3 + 
       (174301*s[5])/132 + (97267*s[6])/33 + (68346191*s[7])/2376 - 
       (2749411*s[8])/1188 - (2635535*s[9])/108 - (419447*s[10])/54 - 
       (1034417*s[11])/33 - (26967431*s[12])/792 - (47933707*s[13])/2376 - 
       (335463*s[14])/88 - (8378027*s[15])/216 - (28874533*s[16])/594 - 
       (45177541*s[17])/1188 - (574217*s[18])/108 - (117566*s[19])/27 - 
       (68502139*s[20])/1188 - (148804943*s[21])/7128 + 
       (107821607*s[22])/7128 + (77233967*s[23])/2376 + 
       (223695275*s[24])/7128 - (636769319*s[25])/16038 + 
       (351228839*s[26])/16038 + (2*s[30])/3 + (40*s[31])/3 - (49*s[32])/6 + 
       (16*s[33])/3 - (50*s[34])/3 - (44*s[35])/3 - (641*s[36])/9 + 
       (137*s[37])/2 + (2929*s[38])/3 - (46939*s[39])/12 + 
       (156725*s[40])/36 - (14005*s[41])/4 + (51133*s[42])/9 + 
       (1349215*s[43])/396 - (2821895*s[44])/792 + (542801*s[45])/132 - 
       (6253001*s[46])/198 + (3378109*s[47])/2376 + (426787*s[48])/2376 - 
       (37097197*s[49])/2376 + (4887233*s[50])/198 + (9599021*s[51])/2376 + 
       (7516913*s[52])/2376 - (5081150*s[53])/297 + (104239*s[54])/198 - 
       (85942039*s[55])/792 - (66510991*s[56])/2376 + (89669951*s[57])/3564 - 
       (1033321529*s[58])/21384 + (1051015637*s[59])/21384 + 
       (3704452861*s[60])/14256 - (331646065*s[61])/24057 - s[65]/3 - 
       (4*s[66])/3 + (14*s[67])/3 + (44*s[68])/3 + (20*s[69])/3 + 
       (8*s[70])/3 - (5*s[71])/3 + (40*s[72])/3 - (20*s[73])/3 - 
       (56*s[74])/3 + (56*s[75])/3 - 18*s[76] + (22*s[77])/3 + (32*s[78])/3 + 
       364*s[79] - (257*s[80])/3 + 364*s[82] + s[83] + 174*s[84] + 
       112*s[85]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      ((4*s[2])/3 + 76*s[3] + 1843*s[4] + (171829*s[5])/132 + 
       (104909*s[6])/33 + (35437807*s[7])/1188 - (4339657*s[8])/1782 - 
       (2042215*s[9])/81 - (2578967*s[10])/324 - (38838361*s[11])/1188 - 
       (84668335*s[12])/2376 - (16891285*s[13])/792 - (8683799*s[14])/2376 - 
       (159897*s[15])/4 - (13303129*s[16])/264 - (46399433*s[17])/1188 - 
       (1313189*s[18])/243 - (1120705*s[19])/243 - (158531806*s[20])/2673 - 
       (457724915*s[21])/21384 + (335293021*s[22])/21384 + 
       (13554499*s[23])/396 + (174453925*s[24])/5346 - 
       (8008336109*s[25])/192456 + (4385845433*s[26])/192456 + (10*s[30])/3 + 
       (40*s[31])/3 - (17*s[32])/6 + (32*s[33])/3 - (58*s[34])/3 - 
       (52*s[35])/3 - (665*s[36])/9 + (1097*s[37])/18 + (3137*s[38])/3 - 
       (49955*s[39])/12 + (166325*s[40])/36 - (44311*s[41])/12 + 
       (54199*s[42])/9 + (1457575*s[43])/396 - (760457*s[44])/198 + 
       (1651939*s[45])/396 - (6530461*s[46])/198 + (422009*s[47])/297 + 
       (469775*s[48])/1188 - (19996355*s[49])/1188 + (5073605*s[50])/198 + 
       (2490737*s[51])/594 + (3905239*s[52])/1188 - (21058915*s[53])/1188 + 
       (34609*s[54])/99 - (44428699*s[55])/396 - (1276457*s[56])/44 + 
       (33037211*s[57])/1188 - (90486403*s[58])/1782 + (46092245*s[59])/891 + 
       (967369375*s[60])/3564 - (75808991*s[61])/5346 - s[65]/3 - 
       (4*s[66])/3 + (14*s[67])/3 + (44*s[68])/3 + (20*s[69])/3 + 
       (8*s[70])/3 - (5*s[71])/3 + (56*s[72])/3 - 12*s[73] - 20*s[74] + 
       20*s[75] - (70*s[76])/3 + (14*s[77])/3 + (80*s[78])/3 + 
       (1156*s[79])/3 - (763*s[80])/9 + 364*s[82] + s[83] + 174*s[84] + 
       112*s[85]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((106*s[2])/3 + (131*s[3])/3 + (20809*s[4])/12 + (16307*s[5])/12 + 
       (37865*s[6])/12 + (795203*s[7])/27 - (21236*s[8])/9 - 
       (896641*s[9])/36 - (142037*s[10])/18 - (2321719*s[11])/72 - 
       (280585*s[12])/8 - (567121*s[13])/27 - (34430*s[14])/9 - 
       (4264417*s[15])/108 - (1343635*s[16])/27 - (8359489*s[17])/216 - 
       (866401*s[18])/162 - (1461199*s[19])/324 - (9519931*s[20])/162 - 
       (6901891*s[21])/324 + (418151*s[22])/27 + (7182307*s[23])/216 + 
       (6985355*s[24])/216 - (119547691*s[25])/2916 + (65732407*s[26])/2916 - 
       (13*s[30])/3 + (40*s[31])/3 - (17*s[32])/3 + (16*s[33])/3 - 
       (50*s[34])/3 + (64*s[35])/3 - (884*s[36])/9 + (533*s[37])/6 + 
       (3100*s[38])/3 - (24263*s[39])/6 + (80923*s[40])/18 - (7095*s[41])/2 + 
       (209635*s[42])/36 + (714599*s[43])/198 - (369838*s[44])/99 + 
       (46337*s[45])/11 - (6425159*s[46])/198 + (398885*s[47])/297 + 
       (268879*s[48])/594 - (19453085*s[49])/1188 + (4967513*s[50])/198 + 
       (4811701*s[51])/1188 + (961663*s[52])/297 - (5186690*s[53])/297 + 
       (82651*s[54])/198 - (43885151*s[55])/396 - (34148825*s[56])/1188 + 
       (23685935*s[57])/891 - (266718293*s[58])/5346 + 
       (271647989*s[59])/5346 + (1902296369*s[60])/7128 - 
       (338951533*s[61])/24057 + 8*s[62] - s[65]/3 - (4*s[66])/3 + 
       (14*s[67])/3 + (35*s[68])/3 + (11*s[69])/3 + (8*s[70])/3 - 
       (5*s[71])/3 + (40*s[72])/3 - (20*s[73])/3 - (56*s[74])/3 + 
       (56*s[75])/3 + 3*s[76] + (13*s[77])/3 + (14*s[78])/3 + 320*s[79] - 
       70*s[80] + 364*s[82] + s[83] + 174*s[84] + 112*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((35*s[2])/6 + (248*s[3])/3 + (10283*s[4])/6 + (4262*s[5])/3 + 
       (38039*s[6])/12 + (6379831*s[7])/216 - (7010*s[8])/3 - 
       (900551*s[9])/36 - (95377*s[10])/12 - (1161401*s[11])/36 - 
       (840149*s[12])/24 - (4489637*s[13])/216 - (301273*s[14])/72 - 
       (8591987*s[15])/216 - (5400595*s[16])/108 - (4226099*s[17])/108 - 
       (1806977*s[18])/324 - (354037*s[19])/81 - (19250729*s[20])/324 - 
       (14113655*s[21])/648 + (124021*s[22])/8 + (7265629*s[23])/216 + 
       (6957361*s[24])/216 - (237662639*s[25])/5832 + 
       (132609275*s[26])/5832 - 4*s[27] + (2*s[30])/3 - (23*s[31])/3 - 
       (17*s[32])/3 - (197*s[33])/12 - (2*s[34])/3 + (52*s[35])/3 - 
       (884*s[36])/9 + (533*s[37])/6 + (3100*s[38])/3 - (24263*s[39])/6 + 
       (80887*s[40])/18 - (7095*s[41])/2 + (209635*s[42])/36 + 
       (714599*s[43])/198 - (369838*s[44])/99 + (46315*s[45])/11 - 
       (6425159*s[46])/198 + (398885*s[47])/297 + (268879*s[48])/594 - 
       (19453085*s[49])/1188 + (4967513*s[50])/198 + (4811701*s[51])/1188 + 
       (961663*s[52])/297 - (5186690*s[53])/297 + (84235*s[54])/198 - 
       (43887527*s[55])/396 - (34144073*s[56])/1188 + (23710883*s[57])/891 - 
       (266825213*s[58])/5346 + (271754909*s[59])/5346 + 
       (1902149057*s[60])/7128 - (339058453*s[61])/24057 + 8*s[62] - 
       s[65]/3 - (4*s[66])/3 + (14*s[67])/3 + (35*s[68])/3 + (35*s[69])/3 + 
       (8*s[70])/3 - (5*s[71])/3 + (40*s[72])/3 - (20*s[73])/3 - 
       (56*s[74])/3 + (56*s[75])/3 + 3*s[76] + (13*s[77])/3 + (14*s[78])/3 + 
       320*s[79] - 70*s[80] + 364*s[82] + s[83] + 174*s[84] + 112*s[85]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w]*((94*s[2])/3 + 45*s[3] + 
       (7399*s[4])/4 + (180217*s[5])/132 + (433571*s[6])/132 + 
       (72323831*s[7])/2376 - (8780705*s[8])/3564 - (2081116*s[9])/81 - 
       (2634935*s[10])/324 - (79070009*s[11])/2376 - (85822795*s[12])/2376 - 
       (477907*s[13])/22 - (4497985*s[14])/1188 - (2951839*s[15])/72 - 
       (40725551*s[16])/792 - (95382187*s[17])/2376 - (5238065*s[18])/972 - 
       (4676593*s[19])/972 - (645945235*s[20])/10692 - 
       (116506385*s[21])/5346 + (42665225*s[22])/2673 + (753765*s[23])/22 + 
       (178830691*s[24])/5346 - (8175908447*s[25])/192456 + 
       (4473421091*s[26])/192456 - (5*s[30])/3 + (40*s[31])/3 - s[32]/3 + 
       (32*s[33])/3 - (58*s[34])/3 - (4*s[35])/3 - (908*s[36])/9 + 
       (1463*s[37])/18 + (3128*s[38])/3 - (25051*s[39])/6 + 
       (83491*s[40])/18 - (22061*s[41])/6 + (217507*s[42])/36 + 
       (741167*s[43])/198 - (3033917*s[44])/792 + (432439*s[45])/99 - 
       (6669427*s[46])/198 + (3366883*s[47])/2376 + (782455*s[48])/2376 - 
       (40103347*s[49])/2376 + (5163605*s[50])/198 + (9965297*s[51])/2376 + 
       (7926533*s[52])/2376 - (21691963*s[53])/1188 + (49231*s[54])/99 - 
       (91710317*s[55])/792 - (23634563*s[56])/792 + (5207711*s[57])/198 - 
       (366047573*s[58])/7128 + (374457869*s[59])/7128 + 
       (3944550001*s[60])/14256 - (234190525*s[61])/16038 + 8*s[62] - 
       s[65]/3 - (4*s[66])/3 + (14*s[67])/3 + (35*s[68])/3 + (11*s[69])/3 + 
       (8*s[70])/3 - (5*s[71])/3 + (56*s[72])/3 - 12*s[73] - 20*s[74] + 
       20*s[75] - (7*s[76])/3 + (5*s[77])/3 + (62*s[78])/3 + (1024*s[79])/3 - 
       (622*s[80])/9 + 364*s[82] + s[83] + 174*s[84] + 112*s[85]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v]*((-13*s[2])/6 + 94*s[3] + 
       (3651*s[4])/2 + (46744*s[5])/33 + (436037*s[6])/132 + 
       (18073175*s[7])/594 - (8699345*s[8])/3564 - (4165787*s[9])/162 - 
       (659204*s[10])/81 - (19766555*s[11])/594 - (85865113*s[12])/2376 - 
       (5690723*s[13])/264 - (9666803*s[14])/2376 - (1474997*s[15])/36 - 
       (40804325*s[16])/792 - (47786885*s[17])/1188 - (2739043*s[18])/486 - 
       (1117540*s[19])/243 - (325463399*s[20])/5346 - 
       (475393181*s[21])/21384 + (341142205*s[22])/21384 + 
       (4615025*s[23])/132 + (354955595*s[24])/10692 - 
       (1015132465*s[25])/24057 + (563402062*s[26])/24057 - 4*s[27] + 
       (10*s[30])/3 - (23*s[31])/3 - s[32]/3 - (133*s[33])/12 - 
       (10*s[34])/3 + (44*s[35])/3 - (908*s[36])/9 + (1463*s[37])/18 + 
       (3188*s[38])/3 - (25291*s[39])/6 + (84211*s[40])/18 - 
       (22169*s[41])/6 + (218875*s[42])/36 + (747251*s[43])/198 - 
       (3086477*s[44])/792 + (426193*s[45])/99 - (6649195*s[46])/198 + 
       (3308851*s[47])/2376 + (1071319*s[48])/2376 - (40662643*s[49])/2376 + 
       (5139341*s[50])/198 + (9947009*s[51])/2376 + (7925813*s[52])/2376 - 
       (21466531*s[53])/1188 + (35335*s[54])/99 - (90728333*s[55])/792 - 
       (23470115*s[56])/792 + (5500007*s[57])/198 - (368156597*s[58])/7128 + 
       (375845885*s[59])/7128 + (3936153505*s[60])/14256 - 
       (232186189*s[61])/16038 + 8*s[62] - s[65]/3 - (4*s[66])/3 + 
       (14*s[67])/3 + (35*s[68])/3 + (35*s[69])/3 + (8*s[70])/3 - 
       (5*s[71])/3 + (56*s[72])/3 - 12*s[73] - 20*s[74] + 20*s[75] - 
       (7*s[76])/3 + (5*s[77])/3 + (62*s[78])/3 + (1024*s[79])/3 - 
       (622*s[80])/9 + 364*s[82] + s[83] + 174*s[84] + 112*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((-2021*s[2])/72 + (16975*s[3])/144 - (178019*s[4])/288 - 
       (94421*s[5])/144 - (280129*s[6])/288 - (57629723*s[7])/5184 + 
       (2176367*s[8])/2592 + (12390025*s[9])/1296 + (3765395*s[10])/1296 + 
       (21087955*s[11])/1728 + (2854163*s[12])/216 + (41163547*s[13])/5184 + 
       (1867123*s[14])/1728 + (77765911*s[15])/5184 + (24269053*s[16])/1296 + 
       (75668663*s[17])/5184 + (1747885*s[18])/972 + (15168157*s[19])/7776 + 
       (168643469*s[20])/7776 + (40852963*s[21])/5184 - 
       (92447917*s[22])/15552 - (16842593*s[23])/1296 - 
       (47859343*s[24])/3888 + (363015775*s[25])/23328 - 
       (193970305*s[26])/23328 + (547*s[30])/36 - (139*s[31])/9 + 
       (923*s[32])/36 + (67*s[33])/18 + (1001*s[34])/36 - (1759*s[35])/36 + 
       (1721*s[36])/27 - (869*s[37])/6 - (15517*s[38])/36 + 
       (264367*s[39])/144 - (844205*s[40])/432 + (74477*s[41])/48 - 
       (1183411*s[42])/432 - (6818923*s[43])/4752 + (3897017*s[44])/2376 - 
       (1038925*s[45])/792 + (58036195*s[46])/4752 - (5289763*s[47])/7128 + 
       (2340931*s[48])/14256 + (12476749*s[49])/1782 - 
       (22754975*s[50])/2376 - (25889659*s[51])/14256 - 
       (20167363*s[52])/14256 + (47508973*s[53])/7128 - (188687*s[54])/1188 + 
       (191748581*s[55])/4752 + (17523907*s[56])/1782 - 
       (555227753*s[57])/42768 + (153268927*s[58])/8019 - 
       (2542297279*s[59])/128304 - (1055927629*s[60])/10692 + 
       (10963546955*s[61])/2309472 + s[64]/2 + (65*s[65])/18 + (94*s[66])/9 - 
       (221*s[67])/9 + (125*s[68])/18 - (365*s[69])/9 + (244*s[70])/9 - 
       (73*s[71])/9 - (197*s[72])/18 + (481*s[73])/18 + (1219*s[74])/72 - 
       (931*s[75])/72 - (33*s[76])/2 - (997*s[77])/36 + (143*s[78])/18 - 
       80*s[79] + (572*s[80])/9 - s[81]/6 + 356*s[82] - (175*s[83])/12 - 
       (85*s[84])/2 + (358*s[85])/3) + HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*((7381*s[2])/72 + (6527*s[3])/48 + 
       (37919*s[4])/32 + (1981787*s[5])/1584 + (9068459*s[6])/3168 + 
       (1344593699*s[7])/57024 - (134011001*s[8])/85536 - 
       (39055399*s[9])/1944 - (1569211*s[10])/243 - (1479540833*s[11])/
        57024 - (99804943*s[12])/3564 - (319286585*s[13])/19008 - 
       (257971721*s[14])/57024 - (54219167*s[15])/1728 - 
       (95064737*s[16])/2376 - (1787674111*s[17])/57024 - 
       (56335615*s[18])/11664 - (70004071*s[19])/23328 - 
       (12456819427*s[20])/256608 - (9512495855*s[21])/513216 + 
       (6378950791*s[22])/513216 + (122035447*s[23])/4752 + 
       (3307081639*s[24])/128304 - (73963094635*s[25])/2309472 + 
       (42944927779*s[26])/2309472 + 3*s[28] + 5*s[29] - (205*s[30])/36 + 
       (254*s[31])/9 - (239*s[32])/36 + (293*s[33])/72 - (1109*s[34])/36 - 
       (509*s[35])/36 - (2183*s[36])/54 + (1717*s[37])/216 + 
       (13055*s[38])/18 - (357493*s[39])/144 + (1226983*s[40])/432 - 
       (318815*s[41])/144 + (1497857*s[42])/432 + (11336177*s[43])/4752 - 
       (22950505*s[44])/9504 + (12466841*s[45])/4752 - 
       (46797731*s[46])/2376 + (18274895*s[47])/28512 + 
       (24688841*s[48])/28512 - (296340773*s[49])/28512 + 
       (35151067*s[50])/2376 + (68620633*s[51])/28512 + 
       (56637775*s[52])/28512 - (144008255*s[53])/14256 + 
       (386795*s[54])/1188 - (617887987*s[55])/9504 - 
       (170056541*s[56])/9504 + (137319625*s[57])/7128 - 
       (894477281*s[58])/28512 + (899725555*s[59])/28512 + 
       (27711196673*s[60])/171072 - (6647002765*s[61])/769824 - 9*s[63] - 
       s[64]/2 + (53*s[65])/18 + (70*s[66])/9 - (157*s[67])/18 + 
       (317*s[68])/18 - (140*s[69])/9 + (559*s[70])/9 - (301*s[71])/36 - 
       (139*s[72])/18 + (47*s[73])/6 - (103*s[74])/24 + (121*s[75])/24 - 
       (92*s[76])/9 - (2687*s[77])/36 - (199*s[78])/18 + (1442*s[79])/9 + 
       (571*s[80])/108 - 24*s[82] - (61*s[83])/12 + (257*s[84])/2 + 
       (358*s[85])/3) + HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*
      (-25*s[2] + 236*s[3] + (6779*s[4])/4 + (8177*s[5])/44 + 
       (18564*s[6])/11 + (1509999*s[7])/88 - (2259685*s[8])/1188 - 
       (1499657*s[9])/108 - (102682*s[10])/27 - (7723373*s[11])/396 - 
       (9036661*s[12])/396 - (2782609*s[13])/198 + (159551*s[14])/198 - 
       (1512587*s[15])/72 - (22111171*s[16])/792 - (1792355*s[17])/99 - 
       (880501*s[18])/324 - (233417*s[19])/81 - (112184051*s[20])/3564 - 
       (34441793*s[21])/3564 + (31808329*s[22])/3564 + (19716167*s[23])/792 + 
       (134211563*s[24])/7128 - (1708884301*s[25])/64152 + 
       (820345225*s[26])/64152 + 3*s[30] - 18*s[31] + 17*s[32] - 
       (41*s[33])/4 + 41*s[34] + 25*s[36] + (230*s[37])/3 + 763*s[38] - 
       (10905*s[39])/4 + (12797*s[40])/4 - (9747*s[41])/4 + (15105*s[42])/4 + 
       (121967*s[43])/44 - (59639*s[44])/22 + (106070*s[45])/33 - 
       (3097103*s[46])/132 + (28189*s[47])/44 + (22427*s[48])/22 - 
       (523775*s[49])/44 + (394921*s[50])/22 + (58501*s[51])/22 + 
       (99709*s[52])/44 - (2388137*s[53])/198 + (16477*s[54])/33 - 
       (10452667*s[55])/132 - (8343149*s[56])/396 + (5312786*s[57])/297 - 
       (64109423*s[58])/1782 + (128286319*s[59])/3564 + 
       (156967453*s[60])/792 - (647151203*s[61])/64152 - s[64] + 9*s[65] + 
       42*s[66] - 36*s[67] - 28*s[68] - 76*s[69] + 18*s[70] - 9*s[71] - 
       16*s[72] + 20*s[73] + 9*s[74] - 11*s[75] - 30*s[76] + 8*s[77] - 
       90*s[78] + 452*s[79] - (344*s[80])/3 + 516*s[82] - 33*s[83] + 
       186*s[84] + 120*s[85]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*((917*s[2])/24 + (3071*s[3])/48 + 
       (166831*s[4])/96 + (169561*s[5])/132 + (3259769*s[6])/1056 + 
       (537707689*s[7])/19008 - (22275461*s[8])/9504 - (2583653*s[9])/108 - 
       (3163693*s[10])/432 - (21851821*s[11])/704 - (26922257*s[12])/792 - 
       (385449773*s[13])/19008 - (7486279*s[14])/2112 - 
       (64830583*s[15])/1728 - (226128893*s[16])/4752 - 
       (694396777*s[17])/19008 - (147862*s[18])/27 - (1104445*s[19])/288 - 
       (535433155*s[20])/9504 - (1172984947*s[21])/57024 + 
       (848311327*s[22])/57024 + (40873603*s[23])/1188 + 
       (430916965*s[24])/14256 - (10111660709*s[25])/256608 + 
       (5588017169*s[26])/256608 + (2*s[30])/3 + (89*s[31])/6 - (7*s[32])/6 + 
       (511*s[33])/48 - (121*s[34])/6 - (233*s[35])/12 - (1351*s[36])/18 + 
       (427*s[37])/4 + (4055*s[38])/4 - (66327*s[39])/16 + 
       (665951*s[40])/144 - (173651*s[41])/48 + (869803*s[42])/144 + 
       (5548705*s[43])/1584 - (5996533*s[44])/1584 + (1034999*s[45])/264 - 
       (49989685*s[46])/1584 + (7310993*s[47])/4752 + (476227*s[48])/2376 - 
       (76052495*s[49])/4752 + (2401411*s[50])/99 + (2523701*s[51])/594 + 
       (3989593*s[52])/1188 - (4982258*s[53])/297 + (643267*s[54])/792 - 
       (27903457*s[55])/264 - (133974743*s[56])/4752 + 
       (448401329*s[57])/14256 - (2139368239*s[58])/42768 + 
       (269549945*s[59])/5346 + (7314972251*s[60])/28512 - 
       (10544417615*s[61])/769824 - 2*s[63] - s[64]/2 - (19*s[65])/12 - 
       (11*s[66])/6 + (55*s[67])/6 + (35*s[68])/3 + (23*s[69])/3 + 
       (31*s[70])/6 + (7*s[71])/12 + (95*s[72])/6 - (175*s[73])/6 - 
       (547*s[74])/24 + (529*s[75])/24 - (39*s[76])/2 - (95*s[77])/12 + 
       (97*s[78])/6 + 403*s[79] - (655*s[80])/6 + 346*s[82] + (7*s[83])/4 + 
       (369*s[84])/2 + 124*s[85]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((1055*s[2])/24 + (5393*s[3])/48 + 
       (63055*s[4])/32 + (48500*s[5])/33 + (3906533*s[6])/1056 + 
       (622916875*s[7])/19008 - (74988235*s[8])/28512 - 
       (35823211*s[9])/1296 - (11243261*s[10])/1296 - 
       (684642883*s[11])/19008 - (373797337*s[12])/9504 - 
       (149726117*s[13])/6336 - (81453445*s[14])/19008 - 
       (25029935*s[15])/576 - (4869327*s[16])/88 - (811793777*s[17])/19008 - 
       (23914619*s[18])/3888 - (36982715*s[19])/7776 - 
       (5583033101*s[20])/85536 - (4077399595*s[21])/171072 + 
       (2941044539*s[22])/171072 + (120252023*s[23])/3168 + 
       (3040304935*s[24])/85536 - (17604011563*s[25])/384912 + 
       (9731931883*s[26])/384912 + (5*s[30])/6 + (101*s[31])/6 - 
       (13*s[32])/12 + (467*s[33])/48 - (149*s[34])/6 - (319*s[35])/12 - 
       (3179*s[36])/36 + (6773*s[37])/72 + (2267*s[38])/2 - 4600*s[39] + 
       (183893*s[40])/36 - (11999*s[41])/3 + (478223*s[42])/72 + 
       (71989*s[43])/18 - (1220353*s[44])/288 + (645539*s[45])/144 - 
       (5131141*s[46])/144 + (1388639*s[47])/864 + (381239*s[48])/864 - 
       (15763013*s[49])/864 + (982271*s[50])/36 + (3957907*s[51])/864 + 
       (3177601*s[52])/864 - (4076677*s[53])/216 + (46213*s[54])/72 - 
       (11451379*s[55])/96 - (9099277*s[56])/288 + (4840145*s[57])/144 - 
       (144960157*s[58])/2592 + (146440915*s[59])/2592 + 
       (1505322233*s[60])/5184 - (359939003*s[61])/23328 - (19*s[65])/12 - 
       (10*s[66])/3 + (55*s[67])/6 + (67*s[68])/6 + (67*s[69])/6 + 
       (49*s[70])/6 - (5*s[71])/12 + (115*s[72])/6 - (25*s[73])/2 - 
       (191*s[74])/8 + (191*s[75])/8 - (161*s[76])/6 - (121*s[77])/12 + 
       (175*s[78])/6 + (1102*s[79])/3 - (2869*s[80])/36 + 356*s[82] + 
       (7*s[83])/4 + (369*s[84])/2 + 124*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      ((523*s[2])/24 + (2063*s[3])/24 + (63635*s[4])/48 + (48155*s[5])/44 + 
       (2774917*s[6])/1056 + (112311053*s[7])/4752 - (17576587*s[8])/9504 - 
       (17265647*s[9])/864 - (2793647*s[10])/432 - (54572119*s[11])/2112 - 
       (177548705*s[12])/6336 - (39621581*s[13])/2376 - 
       (3807293*s[14])/1056 - (13706303*s[15])/432 - (381571805*s[16])/9504 - 
       (598238549*s[17])/19008 - (1285451*s[18])/288 - (2994073*s[19])/864 - 
       (50404355*s[20])/1056 - (124651267*s[21])/7128 + 
       (44234669*s[22])/3564 + (500993705*s[23])/19008 + 
       (1476591863*s[24])/57024 - (16717001129*s[25])/513216 + 
       (9349495487*s[26])/513216 + (7*s[30])/4 + (53*s[31])/6 - 
       (25*s[32])/12 + (5*s[33])/3 - 7*s[34] - (5*s[35])/6 - (749*s[36])/18 + 
       (2573*s[37])/48 + (4127*s[38])/6 - (34187*s[39])/12 + 
       (115759*s[40])/36 - (121091*s[41])/48 + (592337*s[42])/144 + 
       (253739*s[43])/99 - (4313963*s[44])/1584 + (9732803*s[45])/3168 - 
       (24849079*s[46])/1056 + (8406605*s[47])/9504 + (4977179*s[48])/9504 - 
       (111861953*s[49])/9504 + (28806413*s[50])/1584 + 
       (26413357*s[51])/9504 + (10523429*s[52])/4752 - (1251346*s[53])/99 + 
       (154739*s[54])/528 - (254955895*s[55])/3168 - (201016813*s[56])/9504 + 
       (273307097*s[57])/14256 - (386532187*s[58])/10692 + 
       (3141901577*s[59])/85536 + (5525495827*s[60])/28512 - 
       (16030060765*s[61])/1539648 - s[65]/12 - s[66]/3 + (2*s[67])/3 + 
       (5*s[68])/12 + (7*s[69])/6 - (2*s[70])/3 - (7*s[71])/6 + 
       (23*s[72])/2 - (13*s[73])/4 - (23*s[74])/2 + (143*s[75])/12 - 
       (43*s[76])/3 - (49*s[77])/12 + (53*s[78])/4 + 271*s[79] - 
       (4967*s[80])/72 + (2245*s[82])/4 + s[83]/4 + (231*s[84])/2 + 
       125*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*((275*s[2])/12 + (601*s[3])/8 + (29531*s[4])/24 + 
       (130363*s[5])/132 + (2480821*s[6])/1056 + (203510785*s[7])/9504 - 
       (48605729*s[8])/28512 - (46965877*s[9])/2592 - (7499233*s[10])/1296 - 
       (446017061*s[11])/19008 - (485489929*s[12])/19008 - 
       (16061575*s[13])/1056 - (28941043*s[14])/9504 - (8244007*s[15])/288 - 
       (14363915*s[16])/396 - (535550671*s[17])/19008 - 
       (15743371*s[18])/3888 - (12154841*s[19])/3888 - 
       (1843239191*s[20])/42768 - (672205613*s[21])/42768 + 
       (481608265*s[22])/42768 + (51255659*s[23])/2112 + 
       (4002430693*s[24])/171072 - (45691008089*s[25])/1539648 + 
       (25381869035*s[26])/1539648 - (11*s[30])/12 + (47*s[31])/6 - 
       (37*s[32])/24 + (113*s[33])/24 - (115*s[34])/12 + (3*s[35])/4 - 
       (2615*s[36])/72 + (1315*s[37])/24 + (2008*s[38])/3 - 
       (263863*s[39])/96 + (888569*s[40])/288 - (232477*s[41])/96 + 
       (1139923*s[42])/288 + (701201*s[43])/288 - (1507501*s[44])/576 + 
       (34985*s[45])/12 - (6446783*s[46])/288 + (1511837*s[47])/1728 + 
       (778847*s[48])/1728 - (19417001*s[49])/1728 + (2484061*s[50])/144 + 
       (4666153*s[51])/1728 + (3690667*s[52])/1728 - (2585959*s[53])/216 + 
       (18601*s[54])/72 - (43869553*s[55])/576 - (34517975*s[56])/1728 + 
       (24419639*s[57])/1296 - (537210865*s[58])/15552 + 
       (544326355*s[59])/15552 + (1906278407*s[60])/10368 - 
       (1377214273*s[61])/139968 - s[65]/12 - s[66]/3 + (2*s[67])/3 + 
       (5*s[68])/12 + (7*s[69])/6 - (2*s[70])/3 - (17*s[71])/12 + 
       (26*s[72])/3 + (25*s[73])/12 - (295*s[74])/24 + (293*s[75])/24 - 
       12*s[76] - (11*s[77])/3 + (37*s[78])/4 + (728*s[79])/3 - 
       (231*s[80])/4 + (2251*s[82])/4 + s[83]/4 + (231*s[84])/2 + 
       125*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((-97*s[2])/36 + (15809*s[3])/72 + 
       (121043*s[4])/144 + (611015*s[5])/1584 + (2153159*s[6])/1584 + 
       (321316453*s[7])/28512 - (13193039*s[8])/14256 - (751156*s[9])/81 - 
       (3770369*s[10])/1296 - (39953539*s[11])/3168 - 
       (133995361*s[12])/9504 - (123550147*s[13])/14256 - 
       (450907*s[14])/396 - (37740271*s[15])/2592 - (537006869*s[16])/28512 - 
       (393767017*s[17])/28512 - (919633*s[18])/432 - (2307083*s[19])/1296 - 
       (35111707*s[20])/1584 - (338499335*s[21])/42768 + 
       (62069759*s[22])/10692 + (47341895*s[23])/3564 + 
       (135874007*s[24])/10692 - (12554191897*s[25])/769824 + 
       (6813382705*s[26])/769824 + (3*s[28])/2 + 4*s[29] + (23*s[30])/18 - 
       (85*s[31])/9 + (271*s[32])/18 - (115*s[33])/9 + (475*s[34])/18 - 
       (185*s[35])/18 + (205*s[36])/54 + (37*s[37])/6 + (10951*s[38])/18 - 
       (133117*s[39])/72 + (454859*s[40])/216 - (9661*s[41])/6 + 
       (1052717*s[42])/432 + (4748209*s[43])/2376 - (17164771*s[44])/9504 + 
       (937837*s[45])/396 - (38939713*s[46])/2376 + (8713853*s[47])/28512 + 
       (29108777*s[48])/28512 - (238536401*s[49])/28512 + 
       (14570549*s[50])/1188 + (47789575*s[51])/28512 + 
       (43171471*s[52])/28512 - (119884795*s[53])/14256 + 
       (811523*s[54])/2376 - (526960631*s[55])/9504 - 
       (422609123*s[56])/28512 + (486493207*s[57])/42768 - 
       (6445726897*s[58])/256608 + (6487122073*s[59])/256608 + 
       (23641166051*s[60])/171072 - (8302363391*s[61])/1154736 - 
       (10*s[63])/3 - (2*s[64])/3 + (71*s[65])/18 + (109*s[66])/9 - 
       (185*s[67])/9 - (86*s[68])/9 - (317*s[69])/9 + (181*s[70])/9 - 
       (67*s[71])/9 - (121*s[72])/9 + (197*s[73])/9 + (191*s[74])/36 - 
       (155*s[75])/36 - 5*s[76] - (299*s[77])/18 - (257*s[78])/9 + 
       119*s[79] + (170*s[80])/9 + 311*s[82] - (89*s[83])/6 + 123*s[84] + 
       (376*s[85])/3) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((863*s[2])/36 + (997*s[3])/8 + (107927*s[4])/48 + 
       (2278937*s[5])/1584 + (6096625*s[6])/1584 + (494603693*s[7])/14256 - 
       (60326369*s[8])/21384 - (113421779*s[9])/3888 - (2189389*s[10])/243 - 
       (1095888133*s[11])/28512 - (1208022275*s[12])/28512 - 
       (60759671*s[13])/2376 - (26997697*s[14])/7128 - (3289201*s[15])/72 - 
       (92570477*s[16])/1584 - (1262898953*s[17])/28512 - 
       (17986789*s[18])/2916 - (63638315*s[19])/11664 - 
       (4389740791*s[20])/64152 - (3144492365*s[21])/128304 + 
       (2339033233*s[22])/128304 + (387206059*s[23])/9504 + 
       (9805587545*s[24])/256608 - (56858173019*s[25])/1154736 + 
       (30798104705*s[26])/1154736 + (56*s[30])/9 + (35*s[31])/9 - 
       (5*s[32])/9 - (151*s[33])/72 - (11*s[34])/9 - (248*s[35])/9 - 
       (7669*s[36])/108 + (4915*s[37])/54 + (46147*s[38])/36 - 
       (699919*s[39])/144 + (2351425*s[40])/432 - (614015*s[41])/144 + 
       (373513*s[42])/54 + (20662211*s[43])/4752 - (43535017*s[44])/9504 + 
       (11023195*s[45])/2376 - (176911543*s[46])/4752 + 
       (45028331*s[47])/28512 + (23337761*s[48])/28512 - 
       (564601487*s[49])/28512 + (33941489*s[50])/1188 + 
       (136904587*s[51])/28512 + (109881667*s[52])/28512 - 
       (138796591*s[53])/7128 + (316583*s[54])/1188 - 
       (1174052905*s[55])/9504 - (307745227*s[56])/9504 + 
       (56176429*s[57])/1584 - (4998910219*s[58])/85536 + 
       (5048889205*s[59])/85536 + (52501981541*s[60])/171072 - 
       (12161535215*s[61])/769824 + (5*s[62])/6 - s[64]/6 - (5*s[65])/9 - 
       (23*s[66])/9 + (85*s[67])/9 + (163*s[68])/9 + (61*s[69])/9 + 
       (193*s[70])/9 - (29*s[71])/18 + (100*s[72])/9 - (131*s[73])/6 - 
       (35*s[74])/2 + (56*s[75])/3 - (41*s[76])/9 - (128*s[77])/9 + 
       (293*s[78])/18 + (4127*s[79])/9 - (6997*s[80])/54 - s[81]/12 + 
       421*s[82] - (23*s[83])/6 + 145*s[84] + (376*s[85])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((647*s[2])/24 + (2483*s[3])/48 + (146771*s[4])/96 + (75929*s[5])/66 + 
       (9005555*s[6])/3168 + (485897405*s[7])/19008 - (59244971*s[8])/28512 - 
       (13993141*s[9])/648 - (8772211*s[10])/1296 - (532682159*s[11])/19008 - 
       (145390783*s[12])/4752 - (38590129*s[13])/2112 - 
       (65624171*s[14])/19008 - (58718491*s[15])/1728 - 
       (22779151*s[16])/528 - (633598201*s[17])/19008 - (2362559*s[18])/486 - 
       (27950839*s[19])/7776 - (4372680835*s[20])/85536 - 
       (3183754421*s[21])/171072 + (2298412537*s[22])/171072 + 
       (47323055*s[23])/1584 + (592173545*s[24])/21384 - 
       (27357834337*s[25])/769824 + (15134838685*s[26])/769824 - s[29]/2 + 
       (2*s[30])/3 + (25*s[31])/3 - (47*s[32])/12 - (119*s[33])/48 - 
       (23*s[34])/3 - (197*s[35])/12 - (2255*s[36])/36 + (5281*s[37])/72 + 
       (31049*s[38])/36 - (251731*s[39])/72 + (281741*s[40])/72 - 
       (111335*s[41])/36 + (45631*s[42])/9 + (2443589*s[43])/792 - 
       (10325501*s[44])/3168 + (1903391*s[45])/528 - (44599349*s[46])/1584 + 
       (3716705*s[47])/3168 + (1519213*s[48])/3168 - (44249951*s[49])/3168 + 
       (8565793*s[50])/396 + (33773435*s[51])/9504 + (995891*s[52])/352 - 
       (17822527*s[53])/1188 + (65053*s[54])/99 - (903928387*s[55])/9504 - 
       (241824415*s[56])/9504 + (358053803*s[57])/14256 - 
       (3754964255*s[58])/85536 + (3783008021*s[59])/85536 + 
       (4371754471*s[60])/19008 - (9560468249*s[61])/769824 - s[64]/4 - 
       s[65]/3 - (4*s[66])/3 + (13*s[67])/6 + (23*s[68])/3 - (11*s[69])/6 + 
       (11*s[70])/3 - (5*s[71])/3 + (53*s[72])/6 - (31*s[73])/6 - 
       (403*s[74])/24 + (391*s[75])/24 - 12*s[76] + (85*s[77])/12 + 
       (43*s[78])/6 + 326*s[79] - (311*s[80])/4 + (1274*s[82])/3 - 
       (5*s[83])/4 + (321*s[84])/2 + 126*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((419*s[2])/24 + (1265*s[3])/16 + (45881*s[4])/32 + (277961*s[5])/264 + 
       (8525135*s[6])/3168 + (453522965*s[7])/19008 - (18286205*s[8])/9504 - 
       (1085569*s[9])/54 - (2780563*s[10])/432 - (165260261*s[11])/6336 - 
       (44878499*s[12])/1584 - (321854617*s[13])/19008 - 
       (7214411*s[14])/2112 - (6145459*s[15])/192 - (192278479*s[16])/4752 - 
       (600907217*s[17])/19008 - (1433525*s[18])/324 - (9159473*s[19])/2592 - 
       (1364351117*s[20])/28512 - (330868349*s[21])/19008 + 
       (712818715*s[22])/57024 + (128696303*s[23])/4752 + 
       (186091457*s[24])/7128 - (2827541215*s[25])/85536 + 
       (1568661283*s[26])/85536 + s[29]/2 + (19*s[30])/3 + (10*s[31])/3 + 
       (29*s[32])/12 + (101*s[33])/48 + (5*s[34])/3 - (265*s[35])/12 - 
       (1853*s[36])/36 + (1327*s[37])/24 + (28343*s[38])/36 - 
       (236335*s[39])/72 + (266021*s[40])/72 - (105929*s[41])/36 + 
       (172291*s[42])/36 + (2337233*s[43])/792 - (9846677*s[44])/3168 + 
       (5379295*s[45])/1584 - (14113193*s[46])/528 + (3327793*s[47])/3168 + 
       (177157*s[48])/352 - (42344851*s[49])/3168 + (2041327*s[50])/99 + 
       (31421375*s[51])/9504 + (8292091*s[52])/3168 - (1419433*s[53])/99 + 
       (37319*s[54])/66 - (864488179*s[55])/9504 - (8485337*s[56])/352 + 
       (35513267*s[57])/1584 - (391811063*s[58])/9504 + 
       (397275161*s[59])/9504 + (4167480007*s[60])/19008 - 
       (1005225919*s[61])/85536 - s[64]/4 - s[65]/3 + (2*s[66])/3 + s[67]/6 + 
       (14*s[68])/3 - (23*s[69])/6 + (11*s[70])/3 - (5*s[71])/3 + 
       (73*s[72])/6 - (11*s[73])/2 - (121*s[74])/8 + (117*s[75])/8 - 
       (43*s[76])/3 + (29*s[77])/12 + (97*s[78])/6 + (973*s[79])/3 - 
       (2779*s[80])/36 + (1274*s[82])/3 - (5*s[83])/4 + (321*s[84])/2 + 
       126*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*((400*s[2])/9 + (401*s[3])/8 + 
       (184771*s[4])/144 + (938293*s[5])/792 + (4379167*s[6])/1584 + 
       (56928041*s[7])/2376 - (58345*s[8])/33 - (975311*s[9])/48 - 
       (322361*s[10])/48 - (20742217*s[11])/792 - (22352585*s[12])/792 - 
       (20034155*s[13])/1188 - (835427*s[14])/198 - (6952643*s[15])/216 - 
       (194295077*s[16])/4752 - (9637900*s[17])/297 - (5939045*s[18])/1296 - 
       (4504393*s[19])/1296 - (347780669*s[20])/7128 - 
       (259069931*s[21])/14256 + (4990985*s[22])/396 + 
       (60810713*s[23])/2376 + (62604683*s[24])/2376 - 
       (4193800241*s[25])/128304 + (595652525*s[26])/32076 + 7*s[29] - 
       (14*s[30])/9 + (121*s[31])/9 - (245*s[32])/36 + (10*s[33])/3 - 
       (17*s[34])/3 + (20*s[35])/9 - (689*s[36])/12 + (473*s[37])/18 + 
       (9301*s[38])/12 - (447761*s[39])/144 + (503213*s[40])/144 - 
       (400351*s[41])/144 + (646567*s[42])/144 + (4337479*s[43])/1584 - 
       (4679869*s[44])/1584 + (835573*s[45])/264 - (4361015*s[46])/176 + 
       (1647559*s[47])/1584 + (415883*s[48])/792 - (20056391*s[49])/1584 + 
       (1890580*s[50])/99 + (2498003*s[51])/792 + (1948241*s[52])/792 - 
       (2316341*s[53])/176 + (81137*s[54])/396 - (66187817*s[55])/792 - 
       (35027857*s[56])/1584 + (104700049*s[57])/4752 - 
       (68825335*s[58])/1782 + (278186785*s[59])/7128 + 
       (1935852199*s[60])/9504 - (1399022987*s[61])/128304 + 3*s[62] - 
       s[65] - (23*s[66])/3 + (40*s[67])/3 + (28*s[68])/3 + (70*s[69])/3 + 
       (74*s[70])/3 - (25*s[71])/12 + 12*s[72] - (64*s[73])/3 - 
       (158*s[74])/9 + (158*s[75])/9 - (22*s[76])/9 - (328*s[77])/9 + 
       (58*s[78])/3 + (733*s[79])/3 - (451*s[80])/9 - s[81]/6 + 
       (1349*s[82])/3 - 4*s[83] + 126*s[84] + (382*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((821*s[2])/18 - (151*s[3])/24 + (198007*s[4])/144 + 
       (771451*s[5])/792 + (4056049*s[6])/1584 + (26739491*s[7])/1188 - 
       (6052283*s[8])/3564 - (24806347*s[9])/1296 - (7731317*s[10])/1296 - 
       (117850561*s[11])/4752 - (128624207*s[12])/4752 - 
       (39114373*s[13])/2376 - (7119665*s[14])/2376 - (6405419*s[15])/216 - 
       (180177905*s[16])/4752 - (15367885*s[17])/528 - 
       (16320659*s[18])/3888 - (12248209*s[19])/3888 - 
       (478594495*s[20])/10692 - (700772389*s[21])/42768 + 
       (31874063*s[22])/2673 + (124490797*s[23])/4752 + 
       (1041687623*s[24])/42768 - (12093568627*s[25])/384912 + 
       (3340261685*s[26])/192456 + 17*s[29] - (49*s[30])/18 + (232*s[31])/9 - 
       (173*s[32])/36 + (421*s[33])/24 - (173*s[34])/6 + (50*s[35])/9 - 
       (1057*s[36])/18 + (1451*s[37])/36 + (2566*s[38])/3 - 
       (123437*s[39])/36 + (140023*s[40])/36 - (112201*s[41])/36 + 
       (179711*s[42])/36 + (1188227*s[43])/396 - (10265767*s[44])/3168 + 
       (630809*s[45])/198 - (5177497*s[46])/198 + (10761829*s[47])/9504 + 
       (4478761*s[48])/9504 - (130012567*s[49])/9504 + (2006717*s[50])/99 + 
       (33372497*s[51])/9504 + (26190743*s[52])/9504 - 
       (65305873*s[53])/4752 + (11241*s[54])/44 - (275660299*s[55])/3168 - 
       (72929599*s[56])/3168 + (123904105*s[57])/4752 - 
       (393209701*s[58])/9504 + (396790331*s[59])/9504 + 
       (12267974197*s[60])/57024 - (2845114961*s[61])/256608 + 3*s[62] + 
       (2*s[63])/3 - s[65]/6 - (17*s[66])/3 + (23*s[67])/3 + (4*s[68])/3 + 
       (34*s[69])/3 + (61*s[70])/3 - (17*s[71])/4 + (34*s[72])/3 - 
       (71*s[73])/6 - (313*s[74])/18 + (313*s[75])/18 - (130*s[76])/9 - 
       (286*s[77])/9 + (55*s[78])/6 + (1238*s[79])/3 - (716*s[80])/9 - 
       s[81]/6 + (839*s[82])/3 - 4*s[83] + 166*s[84] + (382*s[85])/3) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*
      ((809*s[2])/24 + (3163*s[3])/48 + (46189*s[4])/32 + (732893*s[5])/528 + 
       (3270497*s[6])/1056 + (524880791*s[7])/19008 - (59276593*s[8])/28512 - 
       (30447187*s[9])/1296 - (9761951*s[10])/1296 - (573470719*s[11])/
        19008 - (310072243*s[12])/9504 - (369888215*s[13])/19008 - 
       (87213853*s[14])/19008 - (63966181*s[15])/1728 - 
       (111087049*s[16])/2376 - (233020279*s[17])/6336 - 
       (2605423*s[18])/486 - (29836271*s[19])/7776 - (4797841805*s[20])/
        85536 - (3569275783*s[21])/171072 + (2487109811*s[22])/171072 + 
       (287990177*s[23])/9504 + (2576864299*s[24])/85536 - 
       (29088746387*s[25])/769824 + (16492715639*s[26])/769824 + 
       (5*s[28])/4 + (9*s[29])/2 + (19*s[30])/6 + (32*s[31])/3 - 
       (17*s[32])/4 + (223*s[33])/48 - (27*s[34])/2 - (121*s[35])/12 - 
       (1775*s[36])/36 + (509*s[37])/6 + (5575*s[38])/6 - (43357*s[39])/12 + 
       (36575*s[40])/9 - (75469*s[41])/24 + (742909*s[42])/144 + 
       (1309045*s[43])/396 - (10821815*s[44])/3168 + (349235*s[45])/88 - 
       (23575733*s[46])/792 + (10620475*s[47])/9504 + (6455611*s[48])/9504 - 
       (140682115*s[49])/9504 + (18029609*s[50])/792 + 
       (33662177*s[51])/9504 + (27469487*s[52])/9504 - 
       (37713865*s[53])/2376 + (58964*s[54])/99 - (321295199*s[55])/3168 - 
       (255635557*s[56])/9504 + (176750767*s[57])/7128 - 
       (3943499117*s[58])/85536 + (3994539413*s[59])/85536 + 
       (13947201349*s[60])/57024 - (2528819819*s[61])/192456 - (4*s[63])/3 + 
       s[64]/4 + (17*s[65])/12 + 3*s[66] - (13*s[67])/2 - (7*s[68])/2 - 
       (85*s[69])/6 + (40*s[70])/3 - (53*s[71])/12 + (43*s[72])/6 + 
       (4*s[73])/3 - (91*s[74])/8 + (101*s[75])/8 - (64*s[76])/3 - 
       (83*s[77])/4 + 8*s[78] + 310*s[79] - (164*s[80])/3 + (1015*s[82])/2 - 
       (11*s[83])/4 + 176*s[84] + 128*s[85]) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*((53*s[2])/2 + (281*s[3])/4 + 
       (36965*s[4])/16 + (428441*s[5])/264 + (1076881*s[6])/264 + 
       (176371991*s[7])/4752 - (2748121*s[8])/891 - (10154219*s[9])/324 - 
       (1563329*s[10])/162 - (48450935*s[11])/1188 - (424800203*s[12])/9504 - 
       (84885727*s[13])/3168 - (42481675*s[14])/9504 - (7091819*s[15])/144 - 
       (197990879*s[16])/3168 - (113712893*s[17])/2376 - 
       (26963209*s[18])/3888 - (10277623*s[19])/1944 - 
       (1576485499*s[20])/21384 - (2285760193*s[21])/85536 + 
       (1670553209*s[22])/85536 + (70436659*s[23])/1584 + 
       (1712279383*s[24])/42768 - (40010250613*s[25])/769824 + 
       (21978586417*s[26])/769824 + (181*s[30])/12 + (49*s[31])/6 - 
       (3*s[32])/2 + (23*s[33])/48 - (203*s[34])/12 - (64*s[35])/3 - 
       (2951*s[36])/36 + (9625*s[37])/72 + (3811*s[38])/3 - 
       (82775*s[39])/16 + (834347*s[40])/144 - (72665*s[41])/16 + 
       (67660*s[42])/9 + (7119529*s[43])/1584 - (7618429*s[44])/1584 + 
       (7858781*s[45])/1584 - (10528579*s[46])/264 + (4268665*s[47])/2376 + 
       (2238587*s[48])/4752 - (96986645*s[49])/4752 + (24265031*s[50])/792 + 
       (1534750*s[51])/297 + (4888489*s[52])/1188 - (8388577*s[53])/396 + 
       (33387*s[54])/44 - (212282629*s[55])/1584 - (168544897*s[56])/4752 + 
       (546360955*s[57])/14256 - (1342441039*s[58])/21384 + 
       (680061323*s[59])/10692 + (2319081263*s[60])/7128 - 
       (1649476403*s[61])/96228 + (5*s[62])/12 - s[65]/4 - 2*s[66] + 
       (13*s[67])/6 + (11*s[68])/2 - (7*s[69])/6 + (47*s[70])/6 - 
       (13*s[71])/6 + 19*s[72] - (17*s[73])/6 - (70*s[74])/3 + 24*s[75] - 
       13*s[76] - (26*s[77])/3 + (173*s[78])/6 + (1607*s[79])/3 - 
       (5003*s[80])/36 - s[81]/24 + (895*s[82])/2 - (5*s[83])/4 + 203*s[84] + 
       128*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - w]*((79*s[2])/3 + (83*s[3])/2 + (4187*s[4])/3 + 
       (45743*s[5])/44 + (687479*s[6])/264 + (4657727*s[7])/198 - 
       (4524347*s[8])/2376 - (4300525*s[9])/216 - (335441*s[10])/54 - 
       (40863197*s[11])/1584 - (44643733*s[12])/1584 - (13372241*s[13])/792 - 
       (2460841*s[14])/792 - (374459*s[15])/12 - (15689893*s[16])/396 - 
       (5373053*s[17])/176 - (2863145*s[18])/648 - (2159095*s[19])/648 - 
       (167254289*s[20])/3564 - (121484305*s[21])/7128 + 
       (22072265*s[22])/1782 + (43223219*s[23])/1584 + 
       (363133303*s[24])/14256 - (4203682529*s[25])/128304 + 
       (2319192437*s[26])/128304 + (7*s[30])/3 + (34*s[31])/3 - 
       (14*s[32])/3 + (37*s[33])/4 - 15*s[34] - (10*s[35])/3 - 53*s[36] + 
       (170*s[37])/3 + (2366*s[38])/3 - (39023*s[39])/12 + (44003*s[40])/12 - 
       2888*s[41] + (28273*s[42])/6 + (381713*s[43])/132 - 
       (268441*s[44])/88 + (112972*s[45])/33 - (3486851*s[46])/132 + 
       (834409*s[47])/792 + (379075*s[48])/792 - (10380085*s[49])/792 + 
       (671287*s[50])/33 + (286861*s[51])/88 + (2074661*s[52])/792 - 
       (1862275*s[53])/132 + (35051*s[54])/66 - (7885283*s[55])/88 - 
       (18843413*s[56])/792 + (13655975*s[57])/594 - (292432969*s[58])/7128 + 
       (295434973*s[59])/7128 + (1027559293*s[60])/4752 - 
       (93453332*s[61])/8019 - 2*s[70] - 2*s[71] + 12*s[72] - (44*s[74])/3 + 
       (44*s[75])/3 - (52*s[76])/3 - (10*s[77])/3 + 14*s[78] + 316*s[79] - 
       (218*s[80])/3 + 422*s[82] + 144*s[84] + 136*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((94*s[2])/3 + 35*s[3] + (16657*s[4])/12 + 1071*s[5] + 2637*s[6] + 
       (47829*s[7])/2 - (17255*s[8])/9 - (182312*s[9])/9 - (57511*s[10])/9 - 
       (628595*s[11])/24 - (228413*s[12])/8 - (51209*s[13])/3 - 
       (19843*s[14])/6 - (1144585*s[15])/36 - (161381*s[16])/4 - 
       (249895*s[17])/8 - (484831*s[18])/108 - (92237*s[19])/27 - 
       (5170837*s[20])/108 - (470206*s[21])/27 + (1359869*s[22])/108 + 
       (651985*s[23])/24 + (5618443*s[24])/216 - (8063476*s[25])/243 + 
       (8923235*s[26])/486 + s[30]/3 + (34*s[31])/3 - (14*s[32])/3 + 
       (25*s[33])/4 - 13*s[34] - (10*s[35])/3 - (152*s[36])/3 + 
       (161*s[37])/3 + 771*s[38] - (38587*s[39])/12 + (14521*s[40])/4 - 
       (11501*s[41])/4 + (55903*s[42])/12 + (11453*s[43])/4 - 
       (72371*s[44])/24 + (41455*s[45])/12 - (158705*s[46])/6 + 
       (76693*s[47])/72 + (32443*s[48])/72 - (935017*s[49])/72 + 
       (40799*s[50])/2 + (232273*s[51])/72 + (187241*s[52])/72 - 
       (254411*s[53])/18 + (1103*s[54])/2 - (6468931*s[55])/72 - 
       (573761*s[56])/24 + (135947*s[57])/6 - (8857853*s[58])/216 + 
       (8930657*s[59])/216 + (93575293*s[60])/432 - (2852432*s[61])/243 - 
       2*s[71] + 12*s[72] - (41*s[74])/3 + (41*s[75])/3 - (52*s[76])/3 - 
       (10*s[77])/3 + 12*s[78] + 312*s[79] - (218*s[80])/3 + 434*s[82] + 
       144*s[84] + 136*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 
       1 - u]*((-69*s[2])/2 - (2685*s[3])/4 - (27909*s[4])/8 - 
       (18048*s[5])/11 - (402707*s[6])/88 - (6881415*s[7])/176 + 
       (1249465*s[8])/264 + (94030*s[9])/3 + (89687*s[10])/12 + 
       (7539157*s[11])/176 + (2146853*s[12])/44 + (5025355*s[13])/176 - 
       (102351*s[14])/176 + (787825*s[15])/16 + (2774377*s[16])/44 + 
       (8010043*s[17])/176 + (150217*s[18])/18 + (305453*s[19])/72 + 
       (55580957*s[20])/792 + (37190071*s[21])/1584 - (30881099*s[22])/1584 - 
       (2864965*s[23])/44 - (3686165*s[24])/99 + (414822935*s[25])/7128 - 
       (209252675*s[26])/7128 + 6*s[28] + 48*s[29] - 24*s[30] + 18*s[31] - 
       6*s[32] + (45*s[33])/4 + 75*s[35] + 234*s[36] - 464*s[37] - 
       1455*s[38] + (30141*s[39])/4 - (30957*s[40])/4 + (22605*s[41])/4 - 
       (44127*s[42])/4 - (19425*s[43])/4 + 5697*s[44] - (11639*s[45])/2 + 
       (194449*s[46])/4 - 4284*s[47] + (12693*s[48])/4 + 22313*s[49] - 
       (70093*s[50])/2 - (31069*s[51])/4 - (27165*s[52])/4 + 
       (158023*s[53])/6 - (18317*s[54])/2 + (625205*s[55])/4 + 
       (135643*s[56])/3 - (2145397*s[57])/36 + (4274509*s[58])/54 - 
       (8494991*s[59])/108 - (4311811*s[60])/12 + (43182877*s[61])/1944 - 
       48*s[63] + 9*s[64] + 27*s[65] + 24*s[66] - 48*s[67] + 12*s[68] - 
       78*s[69] + 336*s[70] - 57*s[71] - 42*s[72] + 174*s[73] + 
       (219*s[74])/2 - (111*s[75])/2 + 150*s[76] - 375*s[77] - 114*s[78] + 
       72*s[79] + 188*s[80] + 2484*s[82] - 126*s[83] - 144*s[84] + 
       144*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1}, 1 - w]*
      ((147*s[2])/2 - (3429*s[3])/4 - (38541*s[4])/8 - (37743*s[5])/22 - 
       (490271*s[6])/88 - (9463787*s[7])/176 + (545571*s[8])/88 + 
       (87351*s[9])/2 + (46687*s[10])/4 + (10371585*s[11])/176 + 
       (2907489*s[12])/44 + (6989743*s[13])/176 - (347803*s[14])/176 + 
       (1133525*s[15])/16 + (3891367*s[16])/44 + (11496167*s[17])/176 + 
       (19853*s[18])/2 + (64221*s[19])/8 + (8559513*s[20])/88 + 
       (17240809*s[21])/528 - (4798335*s[22])/176 - (3755967*s[23])/44 - 
       (1790849*s[24])/33 + (63110221*s[25])/792 - (31666513*s[26])/792 - 
       60*s[30] - 6*s[31] - 15*s[32] - (291*s[33])/4 + 18*s[34] + 57*s[35] + 
       153*s[36] - (821*s[37])/2 - 1863*s[38] + 8859*s[39] - 9330*s[40] + 
       6972*s[41] - (26265*s[42])/2 - (73989*s[43])/11 + (622227*s[44])/88 - 
       (336175*s[45])/44 + (2738029*s[46])/44 - (375295*s[47])/88 + 
       (289721*s[48])/88 + (2565125*s[49])/88 - (1022803*s[50])/22 - 
       (817299*s[51])/88 - (683057*s[52])/88 + (1130792*s[53])/33 - 
       (144801*s[54])/22 + (18378155*s[55])/88 + (14864105*s[56])/264 - 
       (26584891*s[57])/396 + (235965457*s[58])/2376 - 
       (239792167*s[59])/2376 - (251709121*s[60])/528 + 
       (586054159*s[61])/21384 + 30*s[62] + 3*s[64] + 9*s[65] + 6*s[69] + 
       168*s[70] - 33*s[71] - 114*s[72] + 18*s[73] + (147*s[74])/2 - 
       (153*s[75])/2 + 120*s[76] - 147*s[77] - 114*s[78] - 216*s[79] + 
       103*s[80] - s[81] + 2484*s[82] - 126*s[83] - 144*s[84] + 144*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      ((22*s[2])/3 - 5*s[3] + (15703*s[4])/12 + (34379*s[5])/33 + 
       (152879*s[6])/66 + (3047443*s[7])/132 - (1080247*s[8])/594 - 
       (1060751*s[9])/54 - (348235*s[10])/54 - (19848281*s[11])/792 - 
       (21430897*s[12])/792 - (3164945*s[13])/198 - (328756*s[14])/99 - 
       (282383*s[15])/9 - (3879754*s[16])/99 - (24549971*s[17])/792 - 
       (680065*s[18])/162 - (587795*s[19])/162 - (166112743*s[20])/3564 - 
       (30017237*s[21])/1782 + (43382981*s[22])/3564 + (19594147*s[23])/792 + 
       (181490275*s[24])/7128 - (253525333*s[25])/8019 + 
       (280523843*s[26])/16038 + s[30]/3 + (34*s[31])/3 - (43*s[32])/6 + 
       (25*s[33])/4 - 13*s[34] - (10*s[35])/3 - (152*s[36])/3 + 
       (56*s[37])/3 + 716*s[38] - (35477*s[39])/12 + (40045*s[40])/12 - 
       (32683*s[41])/12 + (51581*s[42])/12 + (352679*s[43])/132 - 
       (733345*s[44])/264 + (447391*s[45])/132 - (1676839*s[46])/66 + 
       (760831*s[47])/792 + (275005*s[48])/792 - (9773647*s[49])/792 + 
       (662798*s[50])/33 + (2389187*s[51])/792 + (1851071*s[52])/792 - 
       (1379512*s[53])/99 + (1631*s[54])/22 - (23432947*s[55])/264 - 
       (5963867*s[56])/264 + (1117385*s[57])/66 - (90162059*s[58])/2376 + 
       (92216807*s[59])/2376 + (1002579751*s[60])/4752 - 
       (119977925*s[61])/10692 + 6*s[68] + 6*s[69] - 2*s[71] + 12*s[72] - 
       (41*s[74])/3 + (41*s[75])/3 - (52*s[76])/3 + (8*s[77])/3 + 12*s[78] + 
       312*s[79] - (218*s[80])/3 + 516*s[82] + 144*s[84] + 144*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((94*s[2])/3 - 6*s[3] + (4000*s[4])/3 + (35804*s[5])/33 + 
       (330445*s[6])/132 + (2091853*s[7])/88 - (2210179*s[8])/1188 - 
       (1088281*s[9])/54 - (355967*s[10])/54 - (10255451*s[11])/396 - 
       (22139237*s[12])/792 - (13245691*s[13])/792 - (2662585*s[14])/792 - 
       (2317829*s[15])/72 - (7987513*s[16])/198 - (12602075*s[17])/396 - 
       (1359025*s[18])/324 - (1234589*s[19])/324 - (42523898*s[20])/891 - 
       (123192127*s[21])/7128 + (89282675*s[22])/7128 + 
       (20034737*s[23])/792 + (188144267*s[24])/7128 - 
       (1052419967*s[25])/32076 + (580939829*s[26])/32076 - (14*s[30])/3 + 
       (34*s[31])/3 - (14*s[32])/3 + (25*s[33])/4 - 13*s[34] + (62*s[35])/3 - 
       (233*s[36])/3 + 39*s[37] + 757*s[38] - (9170*s[39])/3 + 
       (10312*s[40])/3 - (16511*s[41])/6 + (26437*s[42])/6 + 
       (93989*s[43])/33 - (191449*s[44])/66 + (232393*s[45])/66 - 
       (577699*s[46])/22 + (88973*s[47])/99 + (52574*s[48])/99 - 
       (5117711*s[49])/396 + (677258*s[50])/33 + (1196473*s[51])/396 + 
       (476051*s[52])/198 - (473878*s[53])/33 + (2305*s[54])/66 - 
       (3021710*s[55])/33 - (9257113*s[56])/396 + (20774737*s[57])/1188 - 
       (139951733*s[58])/3564 + (143572397*s[59])/3564 + 
       (517300343*s[60])/2376 - (371006759*s[61])/32076 + 8*s[62] + 3*s[68] + 
       3*s[69] - 2*s[71] + 12*s[72] - (41*s[74])/3 + (41*s[75])/3 + 
       (11*s[76])/3 - s[77]/3 + 6*s[78] + 268*s[79] - 57*s[80] + 516*s[82] + 
       144*s[84] + 144*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1}, 1 - v]*(-s[2]/6 + 39*s[3] + (15653*s[4])/12 + 
       (152567*s[5])/132 + (331783*s[6])/132 + (1574461*s[7])/66 - 
       (2181259*s[8])/1188 - (547397*s[9])/27 - (718321*s[10])/108 - 
       (20525407*s[11])/792 - (22094591*s[12])/792 - (1631144*s[13])/99 - 
       (741619*s[14])/198 - (292258*s[15])/9 - (16074617*s[16])/396 - 
       (25531795*s[17])/792 - (361288*s[18])/81 - (588145*s[19])/162 - 
       (172698017*s[20])/3564 - (63400301*s[21])/3564 + 
       (44704321*s[22])/3564 + (20455067*s[23])/792 + 
       (187005329*s[24])/7128 - (2088280273*s[25])/64152 + 
       (1174080073*s[26])/64152 - 4*s[27] + s[30]/3 - (29*s[31])/3 - 
       (14*s[32])/3 - (31*s[33])/2 + 3*s[34] + (86*s[35])/3 - (233*s[36])/3 + 
       39*s[37] + 761*s[38] - (9194*s[39])/3 + (10336*s[40])/3 - 
       (16535*s[41])/6 + (26485*s[42])/6 + (94073*s[43])/33 - 
       (192325*s[44])/66 + (231305*s[45])/66 - (577267*s[46])/22 + 
       (88529*s[47])/99 + (54902*s[48])/99 - (5135087*s[49])/396 + 
       (676502*s[50])/33 + (1197289*s[51])/396 + (475511*s[52])/198 - 
       (472718*s[53])/33 + (769*s[54])/66 - (3013430*s[55])/33 - 
       (9240457*s[56])/396 + (21155905*s[57])/1188 - (140174357*s[58])/3564 + 
       (143722445*s[59])/3564 + (517001927*s[60])/2376 - 
       (370396847*s[61])/32076 + 8*s[62] + 3*s[68] + 3*s[69] - 2*s[71] + 
       12*s[72] - (41*s[74])/3 + (41*s[75])/3 + (11*s[76])/3 - s[77]/3 + 
       6*s[78] + 268*s[79] - 57*s[80] + 516*s[82] + 144*s[84] + 144*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((201*s[2])/8 + (2945*s[3])/48 + (48935*s[4])/32 + (436003*s[5])/396 + 
       (8769229*s[6])/3168 + (160607149*s[7])/6336 - (60045721*s[8])/28512 - 
       (13872467*s[9])/648 - (8790971*s[10])/1296 - (525904969*s[11])/19008 - 
       (71544307*s[12])/2376 - (340598971*s[13])/19008 - 
       (65203297*s[14])/19008 - (19616347*s[15])/576 - 
       (203567533*s[16])/4752 - (632144215*s[17])/19008 - 
       (4637483*s[18])/972 - (28069661*s[19])/7776 - (4349624885*s[20])/
        85536 - (3153470575*s[21])/171072 + (2277371267*s[22])/171072 + 
       (34942307*s[23])/1188 + (1175124803*s[24])/42768 - 
       (27030832979*s[25])/769824 + (14965382903*s[26])/769824 + 
       (25*s[30])/6 + (53*s[31])/6 - (5*s[32])/4 + (451*s[33])/48 - 
       (19*s[34])/2 - (203*s[35])/12 - (1769*s[36])/36 + (4289*s[37])/72 + 
       831*s[38] - (242989*s[39])/72 + (273635*s[40])/72 - 
       (108293*s[41])/36 + (58591*s[42])/12 + (2448235*s[43])/792 - 
       (10208447*s[44])/3168 + (5983027*s[45])/1584 - (45406351*s[46])/1584 + 
       (9601133*s[47])/9504 + (6079241*s[48])/9504 - (132345959*s[49])/9504 + 
       (8782805*s[50])/396 + (32162285*s[51])/9504 + (25246099*s[52])/9504 - 
       (6141065*s[53])/396 + (404779*s[54])/792 - (940918205*s[55])/9504 - 
       (248310193*s[56])/9504 + (306356357*s[57])/14256 - 
       (3735428249*s[58])/85536 + (3798769187*s[59])/85536 + 
       (13465863539*s[60])/57024 - (9804856949*s[61])/769824 + 
       (17*s[65])/12 + (8*s[66])/3 - (49*s[67])/6 - (7*s[68])/6 - 
       (91*s[69])/6 + (17*s[70])/6 - (41*s[71])/12 + (59*s[72])/6 + 
       (53*s[73])/6 - (119*s[74])/8 + (119*s[75])/8 - (149*s[76])/6 - 
       (29*s[77])/12 + (47*s[78])/6 + 350*s[79] - (269*s[80])/4 + 522*s[82] - 
       (17*s[83])/4 + (377*s[84])/2 + 148*s[85]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((331*s[2])/8 + (3691*s[3])/48 + (466985*s[4])/288 + 
       (480853*s[5])/396 + (1084265*s[6])/352 + (58638689*s[7])/2112 - 
       (62649133*s[8])/28512 - (30381241*s[9])/1296 - (9820661*s[10])/1296 - 
       (576846973*s[11])/19008 - (313088665*s[12])/9504 - 
       (373927669*s[13])/19008 - (76646695*s[14])/19008 - 
       (2383669*s[15])/64 - (111961163*s[16])/2376 - (699590383*s[17])/
        19008 - (20122025*s[18])/3888 - (31660733*s[19])/7776 - 
       (4777789283*s[20])/85536 - (3469878913*s[21])/171072 + 
       (2496523553*s[22])/171072 + (295732225*s[23])/9504 + 
       (2602474471*s[24])/85536 - (14775646363*s[25])/384912 + 
       (8190163231*s[26])/384912 - s[29] + (11*s[30])/3 + (101*s[31])/6 - 
       9*s[32] + (859*s[33])/48 - (31*s[34])/2 - (137*s[35])/12 - 
       (1111*s[36])/18 + (133*s[37])/2 + (30953*s[38])/36 - 
       (165943*s[39])/48 + (565757*s[40])/144 - (449453*s[41])/144 + 
       (717065*s[42])/144 + (5151899*s[43])/1584 - (592181*s[44])/176 + 
       (1050221*s[45])/264 - (47402615*s[46])/1584 + (4458283*s[47])/4752 + 
       (2053103*s[48])/2376 - (69583243*s[49])/4752 + (9173821*s[50])/396 + 
       (8093711*s[51])/2376 + (6441865*s[52])/2376 - (4272517*s[53])/264 + 
       (319051*s[54])/792 - (81927983*s[55])/792 - (129745805*s[56])/4752 + 
       (307333547*s[57])/14256 - (1938259075*s[58])/42768 + 
       (246626753*s[59])/5346 + (7059262009*s[60])/28512 - 
       (10255107083*s[61])/769824 - 2*s[63] - s[64]/2 + (17*s[65])/12 + 
       (25*s[66])/6 - (49*s[67])/6 - (11*s[68])/3 - (38*s[69])/3 + 
       (11*s[70])/6 - (53*s[71])/12 + (47*s[72])/6 + (11*s[73])/6 - 
       (101*s[74])/8 + (95*s[75])/8 - (149*s[76])/6 + s[77]/12 + 
       (95*s[78])/6 + 374*s[79] - (230*s[80])/3 + 532*s[82] - (17*s[83])/4 + 
       (377*s[84])/2 + 148*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - v]*((-129*s[2])/2 + (3433*s[3])/12 + 
       (23179*s[4])/24 - (7801*s[5])/66 + (86797*s[6])/88 + 
       (3764131*s[7])/528 - (1215037*s[8])/792 - (85295*s[9])/18 - 
       (33881*s[10])/36 - (1490737*s[11])/176 - (2864891*s[12])/264 - 
       (1144949*s[13])/176 + (1095419*s[14])/528 - (360817*s[15])/48 - 
       (1543909*s[16])/132 - (1165875*s[17])/176 - (25514*s[18])/27 - 
       (320555*s[19])/216 - (25227467*s[20])/2376 - (11692903*s[21])/4752 + 
       (15607235*s[22])/4752 + (3839791*s[23])/264 + (17214517*s[24])/2376 - 
       (270916697*s[25])/21384 + (112728251*s[26])/21384 - 60*s[29] + 
       27*s[30] - 48*s[31] + (16*s[32])/3 - (93*s[33])/2 + 57*s[34] - 
       27*s[35] + 3*s[36] - (217*s[37])/2 - (116*s[38])/3 - (9215*s[39])/12 + 
       (8915*s[40])/12 - (2553*s[41])/4 + (15223*s[42])/12 + 
       (3991*s[43])/12 - (2449*s[44])/3 - (787*s[45])/6 - (12293*s[46])/4 + 
       (9167*s[47])/18 - (11279*s[48])/36 - (24739*s[49])/9 + 2473*s[50] + 
       (29381*s[51])/36 + (16283*s[52])/36 - (64469*s[53])/36 + 
       (4145*s[54])/6 - (302827*s[55])/36 - (2853*s[56])/2 + 
       (98957*s[57])/36 - (23171*s[58])/6 + (151051*s[59])/36 + 
       (2295461*s[60])/108 - (2235361*s[61])/1944 - 12*s[63] + 3*s[64] - 
       18*s[65] - 48*s[66] + 54*s[67] + (86*s[68])/3 + (382*s[69])/3 + 
       21*s[71] + 54*s[72] - (69*s[74])/2 + (75*s[75])/2 + 60*s[76] - 
       (121*s[77])/3 + 36*s[78] - 252*s[79] - 41*s[80] + 826*s[82] + 
       27*s[83] - 90*s[84] + 160*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - v]*((40*s[2])/3 + (32*s[3])/3 - 
       (1053*s[4])/2 + (2459*s[5])/12 - (64*s[6])/3 - (87977*s[7])/108 + 
       (77279*s[8])/162 + (44863*s[9])/81 - (243613*s[10])/324 + 
       (320017*s[11])/216 + (599291*s[12])/216 + (37489*s[13])/18 - 
       (68695*s[14])/27 - (12443*s[15])/18 + (9043*s[16])/36 - 
       (556831*s[17])/216 + (146993*s[18])/972 - (101389*s[19])/486 - 
       (544967*s[20])/486 - (530153*s[21])/486 - (472435*s[22])/972 - 
       (533771*s[23])/72 + (649765*s[24])/1944 + (6893468*s[25])/2187 - 
       (4849907*s[26])/8748 - (40*s[30])/3 + 6*s[32] + (22*s[34])/3 + 
       (160*s[35])/3 + (379*s[36])/9 - (736*s[37])/9 - 235*s[38] + 
       (2243*s[39])/2 - (21233*s[40])/18 + 856*s[41] - (32215*s[42])/18 - 
       (8501*s[43])/18 + (6199*s[44])/9 + (15871*s[45])/36 + (5333*s[46])/4 - 
       (22616*s[47])/27 + (50903*s[48])/54 + (241139*s[49])/108 - 
       (11189*s[50])/18 - (125713*s[51])/108 - (29188*s[52])/27 - 
       (307*s[53])/4 - (1089*s[54])/2 - (63355*s[55])/18 - 
       (36119*s[56])/108 - (1539463*s[57])/81 + (3122995*s[58])/486 - 
       (5476265*s[59])/972 - (271765*s[60])/81 - (8579645*s[61])/17496 + 
       3*s[64] + 3*s[65] - (58*s[68])/3 + (58*s[69])/3 - 6*s[71] + 12*s[73] + 
       (38*s[74])/3 - (29*s[75])/3 + (62*s[76])/3 - (40*s[77])/3 - 
       (80*s[78])/3 - (452*s[79])/3 + (412*s[80])/9 + 826*s[82] + 27*s[83] - 
       90*s[84] + 160*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - u]*((143*s[2])/6 - (1897*s[3])/12 + 
       (3789*s[4])/8 + (83443*s[5])/132 + (349769*s[6])/264 + 
       (62497577*s[7])/4752 - (5733779*s[8])/7128 - (926120*s[9])/81 - 
       (665771*s[10])/162 - (68400173*s[11])/4752 - (36668693*s[12])/2376 - 
       (14440295*s[13])/1584 - (14361191*s[14])/4752 - (2540809*s[15])/144 - 
       (8957617*s[16])/396 - (85561879*s[17])/4752 - (2185663*s[18])/972 - 
       (4271839*s[19])/1944 - (595095175*s[20])/21384 - 
       (435391481*s[21])/42768 + (304797913*s[22])/42768 + 
       (8283875*s[23])/792 + (329729789*s[24])/21384 - 
       (3392091709*s[25])/192456 + (1933036207*s[26])/192456 - (40*s[30])/3 + 
       6*s[31] - 15*s[32] + (15*s[33])/4 + (4*s[34])/3 + (151*s[35])/3 - 
       (17*s[36])/9 - (59*s[37])/18 + 378*s[38] - (5681*s[39])/4 + 
       (62645*s[40])/36 - (5581*s[41])/4 + (69733*s[42])/36 + 
       (591163*s[43])/396 - (171211*s[44])/99 + (384925*s[45])/198 - 
       (625467*s[46])/44 + (38605*s[47])/594 + (1310981*s[48])/1188 - 
       (8694689*s[49])/1188 + (1132324*s[50])/99 + (418441*s[51])/297 + 
       (1170451*s[52])/1188 - (249968*s[53])/33 - (15855*s[54])/22 - 
       (19866871*s[55])/396 - (15122785*s[56])/1188 + (20937271*s[57])/3564 - 
       (217710461*s[58])/10692 + (110048221*s[59])/5346 + 
       (887233925*s[60])/7128 - (1195284517*s[61])/192456 + 6*s[67] - 
       (40*s[68])/3 + (40*s[69])/3 + 6*s[72] - 6*s[73] - (23*s[74])/6 + 
       (23*s[75])/6 + (80*s[76])/3 - (49*s[77])/3 - (62*s[78])/3 + 
       (916*s[79])/3 - (1235*s[80])/9 + 958*s[82] - 27*s[83] + 90*s[84] + 
       160*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 
       1 - w]*((-105*s[2])/2 - (1769*s[3])/12 - (14033*s[4])/24 - 
       (85301*s[5])/132 - (82749*s[6])/88 - (4505927*s[7])/528 + 
       (742301*s[8])/792 + (63890*s[9])/9 + (14878*s[10])/9 + 
       (1624365*s[11])/176 + (2666011*s[12])/264 + (1003313*s[13])/176 + 
       (169229*s[14])/528 + (560629*s[15])/48 + (468359*s[16])/33 + 
       (1958359*s[17])/176 + (65809*s[18])/27 + (87451*s[19])/216 + 
       (38980459*s[20])/2376 + (31606115*s[21])/4752 - 
       (20570875*s[22])/4752 - (4115363*s[23])/264 - (17442701*s[24])/2376 + 
       (249614647*s[25])/21384 - (145222801*s[26])/21384 - 30*s[31] - 
       (38*s[32])/3 - (75*s[33])/4 + 60*s[34] - 3*s[35] + 42*s[36] - 
       72*s[37] + (4*s[38])/3 - (907*s[39])/6 + (2179*s[40])/6 - 
       (743*s[41])/2 + (827*s[42])/6 + (27547*s[43])/66 - 
       (178459*s[44])/264 + (16139*s[45])/132 - (103317*s[46])/44 - 
       (338183*s[47])/792 + (973501*s[48])/792 - (1985239*s[49])/792 + 
       (25598*s[50])/11 + (76157*s[51])/792 - (71845*s[52])/792 - 
       (403321*s[53])/396 - (45701*s[54])/66 - (6383713*s[55])/792 - 
       (282079*s[56])/264 - (174375*s[57])/44 - (3618707*s[58])/2376 + 
       (4187357*s[59])/2376 + (137124499*s[60])/4752 - 
       (7537339*s[61])/21384 + 6*s[67] - (40*s[68])/3 + (40*s[69])/3 + 
       3*s[71] + 6*s[72] - (9*s[74])/2 + (3*s[75])/2 + 36*s[76] - 
       (49*s[77])/3 - 36*s[78] + 276*s[79] - 136*s[80] + 958*s[82] - 
       27*s[83] + 90*s[84] + 160*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*((79*s[2])/3 + (123*s[3])/2 + 
       (4205*s[4])/3 + (153599*s[5])/132 + (122631*s[6])/44 + 
       (19812731*s[7])/792 - (2321005*s[8])/1188 - (1143973*s[9])/54 - 
       (738277*s[10])/108 - (21627703*s[11])/792 - (11721301*s[12])/396 - 
       (13956953*s[13])/792 - (3049351*s[14])/792 - (2414497*s[15])/72 - 
       (8393915*s[16])/198 - (8772905*s[17])/264 - (387100*s[18])/81 - 
       (1158047*s[19])/324 - (45009026*s[20])/891 - (132249217*s[21])/7128 + 
       (93666521*s[22])/7128 + (11040287*s[23])/396 + (97284787*s[24])/3564 - 
       (551519539*s[25])/16038 + (618106433*s[26])/32076 + s[30]/3 + 
       (22*s[31])/3 - (8*s[32])/3 + s[33]/4 - 5*s[34] - (16*s[35])/3 - 
       (151*s[36])/3 + 52*s[37] + (2369*s[38])/3 - (13103*s[39])/4 + 
       (44377*s[40])/12 - (35081*s[41])/12 + (18959*s[42])/4 + 
       (391651*s[43])/132 - (819419*s[44])/264 + (39320*s[45])/11 - 
       (3600653*s[46])/132 + (800407*s[47])/792 + (473509*s[48])/792 - 
       (10652497*s[49])/792 + (694417*s[50])/33 + (857047*s[51])/264 + 
       (2065469*s[52])/792 - (5796215*s[53])/396 + (13613*s[54])/33 - 
       (73752961*s[55])/792 - (19533535*s[56])/792 + (13280965*s[57])/594 - 
       (299427065*s[58])/7128 + (303167627*s[59])/7128 + 
       (1063649803*s[60])/4752 - (779265143*s[61])/64152 + 2*s[70] - 
       2*s[71] + 12*s[72] - (41*s[74])/3 + (41*s[75])/3 - (40*s[76])/3 - 
       (16*s[77])/3 + 10*s[78] + 308*s[79] - (224*s[80])/3 + 534*s[82] + 
       144*s[84] + 160*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((145*s[2])/6 + (269*s[3])/12 + (28153*s[4])/24 + 
       (1489*s[5])/2 + (50119*s[6])/24 + (2694535*s[7])/144 - 
       (314851*s[8])/216 - (1711361*s[9])/108 - (538351*s[10])/108 - 
       (2990227*s[11])/144 - (1640737*s[12])/72 - (668333*s[13])/48 - 
       (325405*s[14])/144 - (1174945*s[15])/48 - (377251*s[16])/12 - 
       (3445937*s[17])/144 - (1033939*s[18])/324 - (1977925*s[19])/648 - 
       (23882273*s[20])/648 - (16990819*s[21])/1296 + (12831131*s[22])/1296 + 
       (493841*s[23])/24 + (13482061*s[24])/648 - (77312467*s[25])/2916 + 
       (41581459*s[26])/2916 + (32*s[30])/3 + 6*s[31] - (22*s[32])/3 + 
       (119*s[33])/12 - (20*s[34])/3 - (62*s[35])/3 - (284*s[36])/9 + 
       (251*s[37])/9 + (2059*s[38])/3 - (10733*s[39])/4 + (110453*s[40])/36 - 
       (29035*s[41])/12 + (139615*s[42])/36 + (887179*s[43])/396 - 
       (1006861*s[44])/396 + (229577*s[45])/99 - (2589503*s[46])/132 + 
       (974453*s[47])/1188 + (102299*s[48])/297 - (12561185*s[49])/1188 + 
       (1516480*s[50])/99 + (1615397*s[51])/594 + (1331723*s[52])/594 - 
       (222655*s[53])/22 + (14192*s[54])/33 - (12705689*s[55])/198 - 
       (20180473*s[56])/1188 + (74031649*s[57])/3564 - 
       (335116943*s[58])/10692 + (83778734*s[59])/2673 + 
       (1155579929*s[60])/7128 - (1574678575*s[61])/192456 - (5*s[64])/3 - 
       2*s[65] - (10*s[66])/3 + 10*s[67] + (46*s[69])/3 + (22*s[70])/3 + 
       (22*s[72])/3 - (98*s[73])/3 - (33*s[74])/2 + (47*s[75])/6 + 
       (20*s[76])/3 - (59*s[77])/3 + 6*s[78] + (1096*s[79])/3 - 
       (1142*s[80])/9 + 320*s[82] - (15*s[83])/2 + 161*s[84] + 160*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      (75*s[2] + (275*s[3])/6 + (6352*s[4])/3 + (20203*s[5])/12 + 
       (12631*s[6])/3 + (7975295*s[7])/216 - (51277*s[8])/18 - 
       (376255*s[9])/12 - (350743*s[10])/36 - (1466767*s[11])/36 - 
       (1070059*s[12])/24 - (5836567*s[13])/216 - (367661*s[14])/72 - 
       (10464427*s[15])/216 - (1671923*s[16])/27 - (1281214*s[17])/27 - 
       (2199349*s[18])/324 - (877189*s[19])/162 - (23825929*s[20])/324 - 
       (17397025*s[21])/648 + (4204243*s[22])/216 + (8820539*s[23])/216 + 
       (2911553*s[24])/72 - (301048045*s[25])/5832 + (166241509*s[26])/5832 + 
       (7*s[30])/3 + 14*s[31] - 7*s[32] + (121*s[33])/4 - 25*s[34] - 
       (64*s[35])/3 - (454*s[36])/9 + 59*s[37] + (3023*s[38])/3 - 
       (23113*s[39])/6 + (77819*s[40])/18 - (6741*s[41])/2 + 
       (98707*s[42])/18 + (653365*s[43])/198 - (1417139*s[44])/396 + 
       (41747*s[45])/11 - (5897161*s[46])/198 + (1510219*s[47])/1188 + 
       (597505*s[48])/1188 - (18075199*s[49])/1188 + (4495861*s[50])/198 + 
       (4566029*s[51])/1188 + (3841073*s[52])/1188 - (9154121*s[53])/594 + 
       (166541*s[54])/198 - (4333839*s[55])/44 - (31490695*s[56])/1188 + 
       (52546895*s[57])/1782 - (506588177*s[58])/10692 + 
       (505910891*s[59])/10692 + (1736268895*s[60])/7128 - 
       (621588079*s[61])/48114 - (5*s[64])/3 - 2*s[65] - (10*s[66])/3 + 
       10*s[67] + 4*s[68] + (34*s[69])/3 + (34*s[70])/3 + (2*s[71])/3 + 
       (8*s[72])/3 - 28*s[73] - (67*s[74])/3 + (38*s[75])/3 - 22*s[76] - 
       (52*s[77])/3 + 4*s[78] + 358*s[79] - 100*s[80] + 320*s[82] - 
       (15*s[83])/2 + 161*s[84] + 160*s[85]) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((527*s[2])/48 + (1855*s[3])/96 + (226387*s[4])/192 + 
       (732251*s[5])/792 + (14652113*s[6])/6336 + (798533807*s[7])/38016 - 
       (89912447*s[8])/57024 - (11519231*s[9])/648 - (7610921*s[10])/1296 - 
       (876705173*s[11])/38016 - (475928225*s[12])/19008 - 
       (63403661*s[13])/4224 - (118766471*s[14])/38016 - 
       (97094045*s[15])/3456 - (226169249*s[16])/6336 - 
       (1059717811*s[17])/38016 - (29081305*s[18])/7776 - 
       (52754971*s[19])/15552 - (7238608423*s[20])/171072 - 
       (5257924709*s[21])/342144 + (3788107753*s[22])/342144 + 
       (70333765*s[23])/3168 + (2012550145*s[24])/85536 - 
       (44817969001*s[25])/1539648 + (24814062049*s[26])/1539648 - 
       (4*s[30])/3 - (9*s[31])/4 - s[32]/3 - (845*s[33])/96 + (26*s[34])/3 + 
       (17*s[35])/8 - (101*s[36])/3 + (1129*s[37])/48 + (8243*s[38])/12 - 
       (771739*s[39])/288 + (880867*s[40])/288 - (706987*s[41])/288 + 
       (1092517*s[42])/288 + (8143133*s[43])/3168 - (351895*s[44])/132 + 
       (9769037*s[45])/3168 - (12289201*s[46])/528 + (764123*s[47])/1188 + 
       (8334313*s[48])/9504 - (27978559*s[49])/2376 + (28751677*s[50])/1584 + 
       (8253433*s[51])/3168 + (19689095*s[52])/9504 - (3696310*s[53])/297 - 
       (115399*s[54])/528 - (94854973*s[55])/1188 - (1813313*s[56])/88 + 
       (77824163*s[57])/4752 - (1000071823*s[58])/28512 + 
       (254000209*s[59])/7128 + (11085459109*s[60])/57024 - 
       (1751423309*s[61])/171072 - s[65]/3 - s[66] + (5*s[67])/2 - s[68]/3 + 
       (16*s[69])/3 + (11*s[70])/2 - (47*s[71])/24 + (89*s[72])/12 - 
       (17*s[73])/4 - (121*s[74])/16 + (129*s[75])/16 + (47*s[76])/4 - 
       (197*s[77])/24 + (65*s[78])/12 + (1639*s[79])/6 - (1927*s[80])/24 + 
       708*s[82] + (9*s[83])/8 + (363*s[84])/4 + 175*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((655*s[2])/48 + (4967*s[3])/96 + (592753*s[4])/576 + 
       (1432879*s[5])/1584 + (4401875*s[6])/2112 + (731033713*s[7])/38016 - 
       (82767653*s[8])/57024 - (42204395*s[9])/2592 - (14225533*s[10])/2592 - 
       (800030411*s[11])/38016 - (432139349*s[12])/19008 - 
       (514432327*s[13])/38016 - (119961221*s[14])/38016 - 
       (89715715*s[15])/3456 - (624017705*s[16])/19008 - 
       (109832101*s[17])/4224 - (13526003*s[18])/3888 - 
       (49001875*s[19])/15552 - (6688091233*s[20])/171072 - 
       (4897953179*s[21])/342144 + (3458202907*s[22])/342144 + 
       (185917001*s[23])/9504 + (1852769077*s[24])/85536 - 
       (40659978781*s[25])/1539648 + (22775860351*s[26])/1539648 - s[29] - 
       s[30]/6 - s[31]/4 - (11*s[32])/6 - (415*s[33])/96 + (71*s[34])/12 - 
       s[35]/24 - (1121*s[36])/36 + (133*s[37])/8 + (44071*s[38])/72 - 
       (223219*s[39])/96 + (755065*s[40])/288 - (597643*s[41])/288 + 
       (937117*s[42])/288 + (7197799*s[43])/3168 - (4889725*s[44])/2112 + 
       (366209*s[45])/132 - (64771717*s[46])/3168 + (10100197*s[47])/19008 + 
       (16226779*s[48])/19008 - (198024235*s[49])/19008 + 
       (25279357*s[50])/1584 + (41960203*s[51])/19008 + 
       (33209705*s[52])/19008 - (11650549*s[53])/1056 - (409861*s[54])/1584 - 
       (448759591*s[55])/6336 - (343055153*s[56])/19008 + 
       (363687127*s[57])/28512 - (5200052965*s[58])/171072 + 
       (5323370587*s[59])/171072 + (19586950981*s[60])/114048 - 
       (13941177715*s[61])/1539648 + s[64]/4 - (5*s[65])/12 - (13*s[66])/6 + 
       (29*s[67])/6 - (55*s[68])/6 + (65*s[69])/6 + (25*s[70])/6 - 
       (13*s[71])/12 + (97*s[72])/12 - (71*s[73])/12 - (335*s[74])/48 + 
       (395*s[75])/48 + (13*s[76])/4 - (187*s[77])/8 + (25*s[78])/12 + 
       (989*s[79])/6 - (509*s[80])/12 + 671*s[82] + (7*s[83])/8 + 
       (377*s[84])/4 + 175*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*((65*s[2])/3 - (83*s[3])/6 + (7021*s[4])/12 + 
       (35135*s[5])/66 + (57553*s[6])/44 + (28861463*s[7])/2376 - 
       (1047209*s[8])/1188 - (278263*s[9])/27 - (200827*s[10])/54 - 
       (10395487*s[11])/792 - (5518571*s[12])/396 - (19640653*s[13])/2376 - 
       (1845337*s[14])/792 - (3607397*s[15])/216 - (24848267*s[16])/1188 - 
       (40466123*s[17])/2376 - (334487*s[18])/162 - (691643*s[19])/324 - 
       (89177189*s[20])/3564 - (21443669*s[21])/2376 + 
       (45579139*s[22])/7128 + (6361253*s[23])/594 + (24780625*s[24])/1782 - 
       (19443275*s[25])/1188 + (3627161*s[26])/396 + (2*s[30])/3 + 
       (8*s[31])/3 - (5*s[32])/3 + s[33] + 2*s[34] - 8*s[35] - 
       (181*s[36])/9 - (79*s[37])/3 + 121*s[38] - (7469*s[39])/12 + 
       (25771*s[40])/36 - (2609*s[41])/4 + (32117*s[42])/36 + 
       (239849*s[43])/396 - (545869*s[44])/792 + (8682*s[45])/11 - 
       (2423879*s[46])/396 + (168695*s[47])/2376 + (632345*s[48])/2376 - 
       (7305845*s[49])/2376 + (504512*s[50])/99 + (1412077*s[51])/2376 + 
       (974395*s[52])/2376 - (1036831*s[53])/297 - (50954*s[54])/99 - 
       (17723803*s[55])/792 - (12328463*s[56])/2376 + (1274296*s[57])/891 - 
       (177329965*s[58])/21384 + (186049903*s[59])/21384 + 
       (743589071*s[60])/14256 - (523750657*s[61])/192456 + (4*s[64])/3 - 
       (16*s[66])/3 + 8*s[67] - 8*s[68] + (52*s[69])/3 + (16*s[70])/3 + 
       (8*s[72])/3 + 14*s[73] - 5*s[74] + (20*s[75])/3 - (44*s[77])/3 + 
       14*s[78] + (196*s[79])/3 - (32*s[80])/3 + 688*s[82] + 6*s[83] + 
       68*s[84] + 176*s[85]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((413*s[2])/12 + (128*s[3])/3 + (17981*s[4])/12 + 
       (336685*s[5])/264 + (99920*s[6])/33 + (1204019*s[7])/44 - 
       (3774523*s[8])/1782 - (7520953*s[9])/324 - (4869757*s[10])/648 - 
       (141986023*s[11])/4752 - (153710651*s[12])/4752 - 
       (45855071*s[13])/2376 - (10096421*s[14])/2376 - (7943545*s[15])/216 - 
       (13784542*s[16])/297 - (173323225*s[17])/4752 - (9889381*s[18])/1944 - 
       (7870871*s[19])/1944 - (591091447*s[20])/10692 - 
       (216688627*s[21])/10692 + (153970985*s[22])/10692 + 
       (141695033*s[23])/4752 + (1286610131*s[24])/42768 - 
       (7240982477*s[25])/192456 + (4050276017*s[26])/192456 + s[30]/3 + 
       (34*s[31])/3 - (47*s[32])/12 + (17*s[33])/3 - (31*s[34])/3 - 
       (19*s[35])/3 - (103*s[36])/2 + (2143*s[37])/36 + (2618*s[38])/3 - 
       (42703*s[39])/12 + (48289*s[40])/12 - (9503*s[41])/3 + 
       (30731*s[42])/6 + (435019*s[43])/132 - (903487*s[44])/264 + 
       (394576*s[45])/99 - (11948479*s[46])/396 + (816985*s[47])/792 + 
       (624331*s[48])/792 - (11825683*s[49])/792 + (256909*s[50])/11 + 
       (920665*s[51])/264 + (2207651*s[52])/792 - (19335377*s[53])/1188 + 
       (70129*s[54])/198 - (27390833*s[55])/264 - (64635083*s[56])/2376 + 
       (81231289*s[57])/3564 - (982230679*s[58])/21384 + 
       (999348355*s[59])/21384 + (1184445209*s[60])/4752 - 
       (644232487*s[61])/48114 + (4*s[70])/3 - 2*s[71] + 12*s[72] + 2*s[73] - 
       (40*s[74])/3 + (40*s[75])/3 - (46*s[76])/3 - 5*s[77] + 12*s[78] + 
       (1042*s[79])/3 - (1535*s[80])/18 + 613*s[82] - (7*s[83])/4 + 
       (305*s[84])/2 + 176*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 1}, 1 - w]*((95*s[2])/3 + (527*s[3])/12 + (36341*s[4])/24 + 
       (104059*s[5])/88 + (383455*s[6])/132 + (13873973*s[7])/528 - 
       (7478921*s[8])/3564 - (14414393*s[9])/648 - (4577245*s[10])/648 - 
       (136715791*s[11])/4752 - (74436145*s[12])/2376 - 
       (88937779*s[13])/4752 - (17607589*s[14])/4752 - (15142877*s[15])/432 - 
       (105505097*s[16])/2376 - (163739563*s[17])/4752 - 
       (9580831*s[18])/1944 - (7365551*s[19])/1944 - (1127439227*s[20])/
        21384 - (821483821*s[21])/42768 + (591503177*s[22])/42768 + 
       (70765033*s[23])/2376 + (612625741*s[24])/21384 - 
       (14015998123*s[25])/384912 + (7772662879*s[26])/384912 + 
       (11*s[30])/6 + (34*s[31])/3 - (35*s[32])/6 + (101*s[33])/12 - 
       12*s[34] - (13*s[35])/3 - 54*s[36] + (505*s[37])/9 + (5131*s[38])/6 - 
       (28151*s[39])/8 + (95453*s[40])/24 - (75365*s[41])/24 + 
       (121841*s[42])/24 + (280901*s[43])/88 - (1776493*s[44])/528 + 
       (3053615*s[45])/792 - (5824865*s[46])/198 + (559393*s[47])/528 + 
       (123273*s[48])/176 - (7671331*s[49])/528 + (749387*s[50])/33 + 
       (5510801*s[51])/1584 + (490187*s[52])/176 - (18748307*s[53])/1188 + 
       (86299*s[54])/198 - (159249985*s[55])/1584 - (126256441*s[56])/4752 + 
       (168828047*s[57])/7128 - (1933313945*s[58])/42768 + 
       (1958067869*s[59])/42768 + (2299341389*s[60])/9504 - 
       (314396735*s[61])/24057 - s[64]/6 + s[66]/2 - s[69]/2 - (2*s[70])/3 - 
       2*s[71] + (34*s[72])/3 + (10*s[73])/3 - (91*s[74])/6 + (89*s[75])/6 - 
       (43*s[76])/3 - (9*s[77])/2 + 11*s[78] + (1012*s[79])/3 - 
       (748*s[80])/9 + 625*s[82] - (7*s[83])/4 + (305*s[84])/2 + 176*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      ((415*s[2])/12 + (1733*s[3])/12 + (95011*s[4])/48 + (416825*s[5])/264 + 
       (251755*s[6])/66 + (162051619*s[7])/4752 - (800027*s[8])/297 - 
       (3109369*s[9])/108 - (1997041*s[10])/216 - (29538769*s[11])/792 - 
       (128152267*s[12])/3168 - (229425931*s[13])/9504 - 
       (15714631*s[14])/3168 - (19804693*s[15])/432 - 
       (550374907*s[16])/9504 - (107864171*s[17])/2376 - 
       (8270467*s[18])/1296 - (3284851*s[19])/648 - (488813239*s[20])/7128 - 
       (238218551*s[21])/9504 + (509732137*s[22])/28512 + 
       (182414935*s[23])/4752 + (532192511*s[24])/14256 - 
       (1344002489*s[25])/28512 + (748120469*s[26])/28512 + (37*s[30])/12 + 
       (29*s[31])/2 - (49*s[32])/4 + (275*s[33])/48 - (73*s[34])/4 - 
       (233*s[35])/12 - (1927*s[36])/24 + (3301*s[37])/36 + 
       (25991*s[38])/24 - (428119*s[39])/96 + (479587*s[40])/96 - 
       (126047*s[41])/32 + (618919*s[42])/96 + (4222217*s[43])/1056 - 
       (8928127*s[44])/2112 + (7524181*s[45])/1584 - (116025083*s[46])/3168 + 
       (9071225*s[47])/6336 + (4491155*s[48])/6336 - (115716023*s[49])/6336 + 
       (2488781*s[50])/88 + (3136467*s[51])/704 + (22236013*s[52])/6336 - 
       (5852630*s[53])/297 + (101923*s[54])/198 - (792329867*s[55])/6336 - 
       (625245007*s[56])/19008 + (426670663*s[57])/14256 - 
       (9633930377*s[58])/171072 + (9776166755*s[59])/171072 + 
       (11434096057*s[60])/38016 - (24937495721*s[61])/1539648 + s[64]/6 - 
       (7*s[65])/6 - (23*s[66])/6 + (15*s[67])/2 + (9*s[68])/2 + 
       (47*s[69])/6 + (49*s[70])/6 - (5*s[71])/12 + (107*s[72])/6 - 
       (75*s[73])/4 - (499*s[74])/24 + (171*s[75])/8 - (97*s[76])/6 - 
       (75*s[77])/4 + (301*s[78])/12 + (1127*s[79])/3 - (3445*s[80])/36 + 
       740*s[82] + (11*s[83])/4 + 181*s[84] + 180*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*
      ((1067*s[2])/24 + (6607*s[3])/48 + (209221*s[4])/96 + (75655*s[5])/44 + 
       (4398649*s[6])/1056 + (704957747*s[7])/19008 - (83963381*s[8])/28512 - 
       (40585877*s[9])/1296 - (1608659*s[10])/162 - (772311359*s[11])/19008 - 
       (419664251*s[12])/9504 - (167309869*s[13])/6336 - 
       (99197657*s[14])/19008 - (3177971*s[15])/64 - (8294119*s[16])/132 - 
       (931365277*s[17])/19008 - (13543625*s[18])/1944 - 
       (42147331*s[19])/7776 - (6357101293*s[20])/85536 - 
       (4652525567*s[21])/171072 + (3328500463*s[22])/171072 + 
       (134511097*s[23])/3168 + (3455892785*s[24])/85536 - 
       (39579939493*s[25])/769824 + (21997549357*s[26])/769824 + 
       (7*s[30])/4 + 18*s[31] - (151*s[32])/12 + (41*s[33])/4 - 
       (299*s[34])/12 - (251*s[35])/12 - (3373*s[36])/36 + (553*s[37])/6 + 
       (14981*s[38])/12 - (40809*s[39])/8 + (409823*s[40])/72 - 
       (107737*s[41])/24 + (1063217*s[42])/144 + (3586747*s[43])/792 - 
       (15174553*s[44])/3168 + (1382035*s[45])/264 - (8103577*s[46])/198 + 
       (15967409*s[47])/9504 + (6852413*s[48])/9504 - 
       (196570109*s[49])/9504 + (12489047*s[50])/396 + 
       (48365719*s[51])/9504 + (38258797*s[52])/9504 - (13029629*s[53])/594 + 
       (501947*s[54])/792 - (439964737*s[55])/3168 - (347542211*s[56])/9504 + 
       (31322116*s[57])/891 - (5418300631*s[58])/85536 + 
       (5497245679*s[59])/85536 + (19119859691*s[60])/57024 - 
       (6910286627*s[61])/384912 + s[64]/6 - (5*s[65])/3 - (35*s[66])/6 + 
       (23*s[67])/2 + (13*s[68])/2 + (83*s[69])/6 + (49*s[70])/6 - 
       (2*s[71])/3 + (127*s[72])/6 - (62*s[73])/3 - (199*s[74])/8 + 
       (201*s[75])/8 - (53*s[76])/3 - (257*s[77])/12 + (88*s[78])/3 + 
       (1217*s[79])/3 - (193*s[80])/2 + 680*s[82] + (17*s[83])/4 + 
       208*s[84] + 180*s[85]) + HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*
      ((605*s[2])/12 + (349*s[3])/2 + (4847*s[4])/2 + (177965*s[5])/132 + 
       (1059167*s[6])/264 + (83948659*s[7])/2376 - (22140857*s[8])/7128 - 
       (19093879*s[9])/648 - (2970175*s[10])/324 - (46220825*s[11])/1188 - 
       (203279587*s[12])/4752 - (13604017*s[13])/528 - 
       (17680037*s[14])/4752 - (1692397*s[15])/36 - (94769261*s[16])/1584 - 
       (108590681*s[17])/2376 - (6034777*s[18])/972 - (5343899*s[19])/972 - 
       (371803591*s[20])/5346 - (1059038603*s[21])/42768 + 
       (789441751*s[22])/42768 + (2803567*s[23])/66 + 
       (829806569*s[24])/21384 - (9633239569*s[25])/192456 + 
       (5205854449*s[26])/192456 + s[28]/2 - s[29] + (23*s[30])/3 - 
       (25*s[31])/3 - (49*s[32])/6 - (179*s[33])/12 + (34*s[34])/3 - 
       (68*s[35])/3 - (1247*s[36])/18 + (887*s[37])/9 + (3619*s[38])/3 - 
       (58117*s[39])/12 + (197191*s[40])/36 - (52349*s[41])/12 + 
       (507139*s[42])/72 + (1738139*s[43])/396 - (7299779*s[44])/1584 + 
       (1972361*s[45])/396 - (7756865*s[46])/198 + (7106809*s[47])/4752 + 
       (3983821*s[48])/4752 - (93423733*s[49])/4752 + (11948621*s[50])/396 + 
       (23002487*s[51])/4752 + (18234599*s[52])/4752 - 
       (49731619*s[53])/2376 + (155497*s[54])/198 - (211258367*s[55])/1584 - 
       (56230661*s[56])/1584 + (27108841*s[57])/792 - 
       (869202479*s[58])/14256 + (882378419*s[59])/14256 + 
       (9166898887*s[60])/28512 - (275113385*s[61])/16038 - 5*s[63] + 
       (17*s[65])/6 + (16*s[66])/3 - (23*s[67])/3 + (65*s[68])/6 - 
       (44*s[69])/3 + (233*s[70])/6 - (35*s[71])/6 + (40*s[72])/3 - 2*s[73] - 
       18*s[74] + (77*s[75])/4 - (38*s[76])/3 - (355*s[77])/6 + 
       (31*s[78])/3 + (1550*s[79])/3 - (956*s[80])/9 + 433*s[82] - 7*s[83] + 
       240*s[84] + 180*s[85]) + HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - u]*
      ((35*s[2])/3 + (2033*s[3])/24 + (96101*s[4])/48 + (324889*s[5])/264 + 
       (1820303*s[6])/528 + (288243565*s[7])/9504 - (12569549*s[8])/4752 - 
       (686956*s[9])/27 - (1646641*s[10])/216 - (35263903*s[11])/1056 - 
       (58508825*s[12])/1584 - (210403607*s[13])/9504 - 
       (3599525*s[14])/1056 - (34276987*s[15])/864 - (241094881*s[16])/4752 - 
       (363108073*s[17])/9504 - (210089*s[18])/36 - (1756139*s[19])/432 - 
       (94849619*s[20])/1584 - (612576541*s[21])/28512 + 
       (452232169*s[22])/28512 + (11136107*s[23])/297 + 
       (230692279*s[24])/7128 - (2745913825*s[25])/64152 + 
       (748990535*s[26])/32076 + (10*s[30])/3 + (2*s[31])/3 + (77*s[32])/12 - 
       (103*s[33])/12 + (29*s[34])/3 - (197*s[35])/6 - (1067*s[36])/18 + 
       (181*s[37])/3 + (6841*s[38])/6 - (105409*s[39])/24 + 
       (355943*s[40])/72 - (31267*s[41])/8 + (113815*s[42])/18 + 
       (3077977*s[43])/792 - (6443075*s[44])/1584 + (610475*s[45])/132 - 
       (28161757*s[46])/792 + (7019443*s[47])/4752 + (3115741*s[48])/4752 - 
       (82590547*s[49])/4752 + (10756505*s[50])/396 + (21260819*s[51])/4752 + 
       (17380817*s[52])/4752 - (44608631*s[53])/2376 + (451129*s[54])/396 - 
       (190110661*s[55])/1584 - (153852229*s[56])/4752 + 
       (227554055*s[57])/7128 - (2385881885*s[58])/42768 + 
       (2390520791*s[59])/42768 + (8280299809*s[60])/28512 - 
       (6077061263*s[61])/384912 - s[64]/2 + (17*s[65])/6 + (25*s[66])/3 - 
       (29*s[67])/3 + (34*s[68])/3 - (145*s[69])/6 + (119*s[70])/6 - 
       (59*s[71])/6 + (2*s[72])/3 + (35*s[73])/3 - (113*s[74])/6 + 
       (119*s[75])/6 - 27*s[76] - (155*s[77])/6 - (8*s[78])/3 + 446*s[79] - 
       (215*s[80])/3 - s[81]/12 + 433*s[82] - 7*s[83] + 240*s[84] + 
       180*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]^2*((353*s[2])/24 + (5971*s[3])/48 + 
       (48805*s[4])/32 + (10227*s[5])/8 + (96593*s[6])/32 + 
       (46792211*s[7])/1728 - (5493973*s[8])/2592 - (7405331*s[9])/324 - 
       (9648925*s[10])/1296 - (51074569*s[11])/1728 - (3456101*s[12])/108 - 
       (32797991*s[13])/1728 - (7359601*s[14])/1728 - (63082295*s[15])/1728 - 
       (19911389*s[16])/432 - (20917729*s[17])/576 - (4985983*s[18])/972 - 
       (31215571*s[19])/7776 - (426522119*s[20])/7776 - 
       (312497203*s[21])/15552 + (220610675*s[22])/15552 + 
       (12973825*s[23])/432 + (57834067*s[24])/1944 - 
       (2603756939*s[25])/69984 + (1458404645*s[26])/69984 + (17*s[30])/6 + 
       (25*s[31])/6 - (77*s[32])/12 - (139*s[33])/48 + (4*s[34])/3 - 
       (55*s[35])/6 - (1067*s[36])/24 + (229*s[37])/4 + (19669*s[38])/24 - 
       (322237*s[39])/96 + (364265*s[40])/96 - (287879*s[41])/96 + 
       (154869*s[42])/32 + (3216659*s[43])/1056 - (6852929*s[44])/2112 + 
       (672269*s[45])/176 - (30329039*s[46])/1056 + (722375*s[47])/704 + 
       (489989*s[48])/704 - (29592839*s[49])/2112 + (2932981*s[50])/132 + 
       (21309545*s[51])/6336 + (1846979*s[52])/704 - (12261619*s[53])/792 + 
       (98771*s[54])/264 - (209001223*s[55])/2112 - (165408151*s[56])/6336 + 
       (102569839*s[57])/4752 - (2493967169*s[58])/57024 + 
       (2526906035*s[59])/57024 + (333524465*s[60])/1408 - 
       (6622771649*s[61])/513216 + s[64]/6 - (2*s[66])/3 + s[67]/3 + 
       (5*s[68])/6 - (3*s[69])/2 + (37*s[70])/6 - (17*s[71])/12 + 
       (31*s[72])/3 - (25*s[73])/4 - (163*s[74])/12 + 14*s[75] - 
       (55*s[76])/6 - (19*s[77])/2 + (83*s[78])/12 + (934*s[79])/3 - 
       (1025*s[80])/12 + (1739*s[82])/2 - s[83]/4 + (279*s[84])/2 + 
       186*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]^2*((65*s[2])/2 + (1729*s[3])/12 + (89131*s[4])/48 + 
       (772303*s[5])/528 + (484315*s[6])/132 + (50992243*s[7])/1584 - 
       (18100153*s[8])/7128 - (8784313*s[9])/324 - (11453219*s[10])/1296 - 
       (83626619*s[11])/2376 - (45289397*s[12])/1188 - (13527749*s[13])/594 - 
       (23262511*s[14])/4752 - (18708491*s[15])/432 - 
       (260239603*s[16])/4752 - (204619651*s[17])/4752 - 
       (23189975*s[18])/3888 - (19008457*s[19])/3888 - 
       (1386703247*s[20])/21384 - (1012148611*s[21])/42768 + 
       (720645269*s[22])/42768 + (42112331*s[23])/1188 + 
       (1518861851*s[24])/42768 - (17115796309*s[25])/384912 + 
       (4766712059*s[26])/192456 + s[30]/12 + (43*s[31])/6 - (31*s[32])/12 - 
       (77*s[33])/48 - (13*s[34])/12 - (103*s[35])/12 - (3535*s[36])/72 + 
       (166*s[37])/3 + (22985*s[38])/24 - (378389*s[39])/96 + 
       (1281883*s[40])/288 - (339055*s[41])/96 + (1636577*s[42])/288 + 
       (11510321*s[43])/3168 - (24132733*s[44])/6336 + (772279*s[45])/176 - 
       (105758681*s[46])/3168 + (22074851*s[47])/19008 + 
       (16735517*s[48])/19008 - (315083141*s[49])/19008 + 
       (2556580*s[50])/99 + (74050741*s[51])/19008 + (58140043*s[52])/19008 - 
       (85520951*s[53])/4752 + (295045*s[54])/792 - (726942791*s[55])/6336 - 
       (572484599*s[56])/19008 + (179255311*s[57])/7128 - 
       (8686701745*s[58])/171072 + (8829263599*s[59])/171072 + 
       (31420203131*s[60])/114048 - (22867075807*s[61])/1539648 + s[64]/6 - 
       (2*s[66])/3 - s[67]/6 - s[68]/6 + (37*s[70])/6 - 2*s[71] + 
       (27*s[72])/2 - (5*s[73])/12 - (367*s[74])/24 + (377*s[75])/24 - 
       (31*s[76])/2 - (133*s[77])/12 + (157*s[78])/12 + (1031*s[79])/3 - 
       (345*s[80])/4 + (1517*s[82])/2 - s[83]/4 + (327*s[84])/2 + 
       186*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
      ((995*s[2])/24 + (787*s[3])/16 + (72629*s[4])/32 + (956561*s[5])/528 + 
       (4484747*s[6])/1056 + (246988879*s[7])/6336 - (29603033*s[8])/9504 - 
       (14236553*s[9])/432 - (4518331*s[10])/432 - (270441515*s[11])/6336 - 
       (18375037*s[12])/396 - (175867633*s[13])/6336 - 
       (33528659*s[14])/6336 - (30096917*s[15])/576 - 
       (208976399*s[16])/3168 - (108579155*s[17])/2112 - 
       (9320035*s[18])/1296 - (15113671*s[19])/2592 - 
       (2223121573*s[20])/28512 - (1624572305*s[21])/57024 + 
       (1168641013*s[22])/57024 + (140799811*s[23])/3168 + 
       (1213162997*s[24])/28512 - (6938143241*s[25])/128304 + 
       (3844674689*s[26])/128304 + (5*s[30])/12 + (50*s[31])/3 - 
       (16*s[32])/3 + (55*s[33])/8 - (101*s[34])/4 - (323*s[35])/12 - 
       (3551*s[36])/36 + (8783*s[37])/72 + (16159*s[38])/12 - 
       (66421*s[39])/12 + (55511*s[40])/9 - (116371*s[41])/24 + 
       (72061*s[42])/9 + (1933669*s[43])/396 - (4107401*s[44])/792 + 
       (8836789*s[45])/1584 - (69701807*s[46])/1584 + (8781689*s[47])/4752 + 
       (3048929*s[48])/4752 - (106405883*s[49])/4752 + (26892947*s[50])/792 + 
       (26024839*s[51])/4752 + (10271033*s[52])/2376 - (7017805*s[53])/297 + 
       (96599*s[54])/198 - (118431185*s[55])/792 - (6860919*s[56])/176 + 
       (179867681*s[57])/4752 - (969484169*s[58])/14256 + 
       (493626811*s[59])/7128 + (1284824863*s[60])/3564 - 
       (1633243121*s[61])/85536 - (5*s[62])/6 - s[64]/6 - (19*s[65])/12 - 
       (14*s[66])/3 + 9*s[67] + (26*s[68])/3 + (26*s[69])/3 - (5*s[70])/6 + 
       (11*s[71])/12 + (51*s[72])/2 - (52*s[73])/3 - (665*s[74])/24 + 
       (679*s[75])/24 - (40*s[76])/3 - (41*s[77])/12 + (239*s[78])/6 + 
       (1424*s[79])/3 - (4645*s[80])/36 + s[81]/24 + 764*s[82] + 
       (15*s[83])/2 + (403*s[84])/2 + 188*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      ((117*s[2])/2 + (1763*s[3])/24 + (116717*s[4])/48 + 
       (1017253*s[5])/528 + (402827*s[6])/88 + (33318011*s[7])/792 - 
       (48541255*s[8])/14256 - (23056933*s[9])/648 - (916213*s[10])/81 - 
       (437401519*s[11])/9504 - (237976975*s[12])/4752 - 
       (283351483*s[13])/9504 - (55388467*s[14])/9504 - (6078601*s[15])/108 - 
       (676248091*s[16])/9504 - (526489693*s[17])/9504 - 
       (7708471*s[18])/972 - (23630519*s[19])/3888 - (451045963*s[20])/5346 - 
       (2633758735*s[21])/85536 + (1891785311*s[22])/85536 + 
       (458027435*s[23])/9504 + (3914346395*s[24])/85536 - 
       (22414195589*s[25])/384912 + (12439011263*s[26])/384912 - 
       (3*s[28])/4 - 3*s[29] + (7*s[30])/2 + (41*s[31])/2 - (9*s[32])/2 + 
       (55*s[33])/4 - 29*s[34] - (137*s[35])/6 - (7669*s[36])/72 + 
       (2209*s[37])/18 + (34589*s[38])/24 - (188223*s[39])/32 + 
       (1890283*s[40])/288 - (165601*s[41])/32 + (2448005*s[42])/288 + 
       (16529897*s[43])/3168 - (34991461*s[44])/6336 + (9617573*s[45])/1584 - 
       (50041927*s[46])/1056 + (36348299*s[47])/19008 + 
       (15200645*s[48])/19008 - (453565337*s[49])/19008 + 
       (29028257*s[50])/792 + (111436273*s[51])/19008 + 
       (87896179*s[52])/19008 - (6734999*s[53])/264 + (92029*s[54])/132 - 
       (1023647291*s[55])/6336 - (804039475*s[56])/19008 + 
       (565499323*s[57])/14256 - (12489957929*s[58])/171072 + 
       (12698196743*s[59])/171072 + (44353581887*s[60])/114048 - 
       (31984967555*s[61])/1539648 + (8*s[63])/3 + s[64]/12 - (5*s[65])/3 - 
       (17*s[66])/3 + (25*s[67])/3 + (19*s[68])/6 + (49*s[69])/6 - 
       (9*s[70])/2 - (13*s[71])/12 + 26*s[72] - (251*s[73])/12 - 
       (343*s[74])/12 + (173*s[75])/6 - (155*s[76])/6 - (17*s[77])/2 + 
       (129*s[78])/4 + 505*s[79] - (4355*s[80])/36 + 674*s[82] + 6*s[83] + 
       (445*s[84])/2 + 188*s[85]) + HPL[{0, 1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - v]*((83*s[2])/2 + (1853*s[3])/12 + (18357*s[4])/8 + 
       (20107*s[5])/12 + (100945*s[6])/24 + (1346593*s[7])/36 - 
       (499811*s[8])/162 - (5112077*s[9])/162 - (6263413*s[10])/648 - 
       (17763167*s[11])/432 - (4868347*s[12])/108 - (11697749*s[13])/432 - 
       (2029643*s[14])/432 - (10687777*s[15])/216 - (27126857*s[16])/432 - 
       (20730179*s[17])/432 - (7044029*s[18])/972 - (9847625*s[19])/1944 - 
       (144671059*s[20])/1944 - (105966455*s[21])/3888 + 
       (76268629*s[22])/3888 + (19518505*s[23])/432 + 
       (156087493*s[24])/3888 - (1827818891*s[25])/34992 + 
       (1013717339*s[26])/34992 + (28*s[30])/3 + (44*s[31])/3 + 
       (29*s[32])/4 + (247*s[33])/24 - 20*s[34] - (85*s[35])/3 - 
       (1463*s[36])/18 + (1033*s[37])/12 + (8587*s[38])/6 - 
       (130715*s[39])/24 + (437417*s[40])/72 - (38171*s[41])/8 + 
       (560125*s[42])/72 + (353213*s[43])/72 - (45391*s[44])/9 + 
       (135085*s[45])/24 - (781403*s[46])/18 + (184631*s[47])/108 + 
       (181435*s[48])/216 - (1183645*s[49])/54 + (1196767*s[50])/36 + 
       (1158869*s[51])/216 + (943991*s[52])/216 - (4983463*s[53])/216 + 
       (8006*s[54])/9 - (3533453*s[55])/24 - (1054259*s[56])/27 + 
       (24867565*s[57])/648 - (131775977*s[58])/1944 + 
       (133744799*s[59])/1944 + (460811161*s[60])/1296 - 
       (83248817*s[61])/4374 + s[64]/4 + (5*s[65])/6 + (7*s[66])/3 - 
       (25*s[67])/3 - (5*s[68])/6 - (43*s[69])/3 + (85*s[70])/6 - 
       (47*s[71])/6 + (38*s[72])/3 + (29*s[73])/3 - 19*s[74] + (83*s[75])/4 - 
       (89*s[76])/3 - (43*s[77])/3 + (59*s[78])/3 + 447*s[79] - 
       (427*s[80])/6 + 281*s[82] - s[83]/4 + (415*s[84])/2 + 192*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((20*s[2])/3 - (63*s[3])/4 + (15817*s[4])/12 + (65017*s[5])/88 + 
       (188237*s[6])/88 + (97738441*s[7])/4752 - (12046675*s[8])/7128 - 
       (2820803*s[9])/162 - (3556591*s[10])/648 - (108283957*s[11])/4752 - 
       (60003637*s[12])/2376 - (23987779*s[13])/1584 - 
       (11350225*s[14])/4752 - (3861193*s[15])/144 - (27402433*s[16])/792 - 
       (122609039*s[17])/4752 - (1767409*s[18])/486 - (6121991*s[19])/1944 - 
       (878035265*s[20])/21384 - (618624781*s[21])/42768 + 
       (467160995*s[22])/42768 + (18406213*s[23])/792 + 
       (486276667*s[24])/21384 - (5600927531*s[25])/192456 + 
       (3018181205*s[26])/192456 - (35*s[30])/6 - (7*s[31])/3 + 
       (11*s[32])/2 - (101*s[33])/24 + (49*s[34])/6 + (37*s[35])/3 - 
       (77*s[36])/9 + (1483*s[37])/36 + (2216*s[38])/3 - (8677*s[39])/3 + 
       (30098*s[40])/9 - (7964*s[41])/3 + (149653*s[42])/36 + 
       (255439*s[43])/99 - (1116505*s[44])/396 + (2233619*s[45])/792 - 
       (18049609*s[46])/792 + (2001811*s[47])/2376 + (1728835*s[48])/2376 - 
       (28536865*s[49])/2376 + (1758124*s[50])/99 + (6878699*s[51])/2376 + 
       (2712175*s[52])/1188 - (28075859*s[53])/2376 - (24677*s[54])/99 - 
       (60041087*s[55])/792 - (15804887*s[56])/792 + (2887121*s[57])/132 - 
       (63987185*s[58])/1782 + (256156553*s[59])/7128 + 
       (338540393*s[60])/1782 - (1235607125*s[61])/128304 + (11*s[62])/2 + 
       (8*s[65])/3 + (20*s[66])/3 - (28*s[67])/3 - (10*s[68])/3 - 
       (55*s[69])/3 + (98*s[70])/3 - (25*s[71])/6 - (4*s[72])/3 - 4*s[73] - 
       (73*s[74])/6 + (29*s[75])/3 - (32*s[76])/3 - (113*s[77])/3 - 
       (58*s[78])/3 + (1366*s[79])/3 - (2237*s[80])/18 - s[81]/6 + 
       683*s[82] - (83*s[83])/4 + (453*s[84])/2 + 198*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      ((79*s[2])/6 + (211*s[3])/6 + (27239*s[4])/12 + (64531*s[5])/44 + 
       (517457*s[6])/132 + (87504821*s[7])/2376 - (1731607*s[8])/594 - 
       (1685459*s[9])/54 - (268088*s[10])/27 - (16109591*s[11])/396 - 
       (35376727*s[12])/792 - (63978319*s[13])/2376 - (3578089*s[14])/792 - 
       (10495487*s[15])/216 - (18451490*s[16])/297 - (14021176*s[17])/297 - 
       (2152783*s[18])/324 - (1821893*s[19])/324 - (262054709*s[20])/3564 - 
       (20962729*s[21])/792 + (139092901*s[22])/7128 + 
       (99376715*s[23])/2376 + (289710253*s[24])/7128 - 
       (1104755623*s[25])/21384 + (603717325*s[26])/21384 + s[28] + 4*s[29] - 
       3*s[30] + (38*s[31])/3 - (43*s[32])/3 - (11*s[33])/12 - (17*s[34])/3 - 
       14*s[35] - (1321*s[36])/18 + 57*s[37] + (8075*s[38])/6 - 
       (40701*s[39])/8 + (420097*s[40])/72 - (111329*s[41])/24 + 
       (525743*s[42])/72 + (3698747*s[43])/792 - (7823461*s[44])/1584 + 
       (671845*s[45])/132 - (31978967*s[46])/792 + (6733391*s[47])/4752 + 
       (6067253*s[48])/4752 - (101346689*s[49])/4752 + (3110230*s[50])/99 + 
       (24282685*s[51])/4752 + (19210567*s[52])/4752 - 
       (50304625*s[53])/2376 - (184879*s[54])/396 - (214284179*s[55])/1584 - 
       (167370755*s[56])/4752 + (132841721*s[57])/3564 - 
       (2701251217*s[58])/42768 + (2728393363*s[59])/42768 + 
       (9582068867*s[60])/28512 - (6578136901*s[61])/384912 - 6*s[63] + 
       (11*s[65])/3 + (20*s[66])/3 - (19*s[67])/3 - (16*s[68])/3 - 
       (43*s[69])/3 + (179*s[70])/3 - (61*s[71])/6 + (4*s[72])/3 - 
       (14*s[73])/3 - (113*s[74])/6 + (125*s[75])/6 - (16*s[76])/3 - 
       77*s[77] - (40*s[78])/3 + 644*s[79] - (416*s[80])/3 + 563*s[82] - 
       (71*s[83])/4 + (561*s[84])/2 + 198*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((5*s[2])/6 + (154*s[3])/3 - (224*s[4])/3 - (7377*s[5])/88 - 
       (8417*s[6])/132 - (187939*s[7])/297 + (24899*s[8])/1188 + 
       (34409*s[9])/54 - (51611*s[10])/216 + (1315703*s[11])/1584 + 
       (1860515*s[12])/1584 + (537469*s[13])/594 - (192695*s[14])/792 + 
       (64523*s[15])/216 + (257977*s[16])/594 - (1499561*s[17])/4752 + 
       (137729*s[18])/648 - (28901*s[19])/162 + (4977565*s[20])/7128 + 
       (14600*s[21])/33 - (1285739*s[22])/3564 - (9719023*s[23])/4752 - 
       (2359091*s[24])/14256 + (6143581*s[25])/5346 - (1802912*s[26])/2673 + 
       4*s[30] - (2*s[31])/3 + (7*s[32])/3 + (35*s[33])/12 + (44*s[34])/3 + 
       3*s[35] + (259*s[36])/18 - (25*s[37])/2 - (1223*s[38])/6 + 517*s[39] - 
       (9541*s[40])/18 + (1195*s[41])/3 - (6301*s[42])/9 - (6877*s[43])/18 + 
       (6865*s[44])/18 - (691*s[45])/24 + (102823*s[46])/72 - 
       (33889*s[47])/108 + (18497*s[48])/108 + (313601*s[49])/216 - 
       (14131*s[50])/18 - (117781*s[51])/216 - (58685*s[52])/108 + 
       (101357*s[53])/216 - (4618*s[54])/9 + (95881*s[55])/36 + 
       (129581*s[56])/216 - (430522*s[57])/81 + (1583599*s[58])/486 - 
       (6380287*s[59])/1944 - (3191609*s[60])/324 + (4133831*s[61])/34992 + 
       (4*s[65])/3 + (16*s[66])/3 - (26*s[67])/3 + (4*s[68])/3 - 
       (56*s[69])/3 - (8*s[70])/3 + (31*s[71])/6 + (8*s[72])/3 + 
       (20*s[73])/3 + (19*s[74])/3 - (23*s[75])/6 - (56*s[76])/3 + 5*s[77] - 
       (2*s[78])/3 - 34*s[79] - (13*s[80])/3 + 1094*s[82] - (13*s[83])/4 + 
       (171*s[84])/2 + 204*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*((145*s[2])/3 + 141*s[3] + 
       (5150*s[4])/3 + (114287*s[5])/88 + (152345*s[6])/44 + 
       (72176491*s[7])/2376 - (4133243*s[8])/1782 - (2066639*s[9])/81 - 
       (5671787*s[10])/648 - (157414739*s[11])/4752 - 
       (169628059*s[12])/4752 - (700622*s[13])/33 - (12119221*s[14])/2376 - 
       (739223*s[15])/18 - (41313211*s[16])/792 - (197091097*s[17])/4752 - 
       (10721657*s[18])/1944 - (2362447*s[19])/486 - (1321188721*s[20])/
        21384 - (238785605*s[21])/10692 + (170158591*s[22])/10692 + 
       (16589623*s[23])/528 + (1457243965*s[24])/42768 - 
       (8023143379*s[25])/192456 + (4456151545*s[26])/192456 - 2*s[29] - 
       (14*s[30])/3 + (34*s[31])/3 - (11*s[32])/2 + (43*s[33])/3 + 
       (19*s[34])/3 - (40*s[35])/3 - (1079*s[36])/18 + (265*s[37])/18 + 
       (2545*s[38])/3 - (10802*s[39])/3 + (74543*s[40])/18 - 
       (40117*s[41])/12 + (46613*s[42])/9 + (683917*s[43])/198 - 
       (2894029*s[44])/792 + (3483913*s[45])/792 - (25935203*s[46])/792 + 
       (2031107*s[47])/2376 + (3016883*s[48])/2376 - (19100143*s[49])/1188 + 
       (10169303*s[50])/396 + (4203905*s[51])/1188 + (6498895*s[52])/2376 - 
       (42286795*s[53])/2376 - (146611*s[54])/396 - (90168157*s[55])/792 - 
       (2926042*s[56])/99 + (12296221*s[57])/594 - (115588159*s[58])/2376 + 
       (1632274*s[59])/33 + (3898760267*s[60])/14256 - 
       (1893665381*s[61])/128304 - s[64] - s[65]/6 + (4*s[66])/3 + 
       (7*s[67])/3 - (2*s[68])/3 + (13*s[69])/3 + (19*s[70])/3 - s[71]/3 + 
       (22*s[72])/3 + 4*s[73] - (46*s[74])/3 + (89*s[75])/6 - (31*s[76])/3 - 
       (37*s[77])/3 - (2*s[78])/3 + (1100*s[79])/3 - (854*s[80])/9 + 
       974*s[82] - s[83]/4 + (279*s[84])/2 + 204*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((111*s[2])/4 + (731*s[3])/8 + (75341*s[4])/48 + (28769*s[5])/22 + 
       (1708279*s[6])/528 + (271843313*s[7])/9504 - (10387105*s[8])/4752 - 
       (2612735*s[9])/108 - (215689*s[10])/27 - (10993603*s[11])/352 - 
       (13366279*s[12])/396 - (191250451*s[13])/9504 - (4931405*s[14])/1056 - 
       (33255179*s[15])/864 - (231321557*s[16])/4752 - 
       (365207291*s[17])/9504 - (1151653*s[18])/216 - (1866233*s[19])/432 - 
       (275546347*s[20])/4752 - (605363489*s[21])/28512 + 
       (428048009*s[22])/28512 + (144750043*s[23])/4752 + 
       (451414939*s[24])/14256 - (1259355199*s[25])/32076 + 
       (705772129*s[26])/32076 + (4*s[30])/3 + (20*s[31])/3 - s[32] - 
       (9*s[33])/4 + (10*s[34])/3 - (47*s[35])/6 - (1829*s[36])/36 + 
       (1303*s[37])/36 + (3281*s[38])/4 - (163639*s[39])/48 + 
       (557993*s[40])/144 - (148121*s[41])/48 + (708895*s[42])/144 + 
       (5006011*s[43])/1584 - (10541981*s[44])/3168 + (1518967*s[45])/396 - 
       (46222817*s[46])/1584 + (9096679*s[47])/9504 + (8314645*s[48])/9504 - 
       (136908733*s[49])/9504 + (8953675*s[50])/396 + (32286785*s[51])/9504 + 
       (25425287*s[52])/9504 - (37311257*s[53])/2376 + (73709*s[54])/198 - 
       (105705089*s[55])/1056 - (27840743*s[56])/1056 + 
       (51797377*s[57])/2376 - (1264405915*s[58])/28512 + 
       (1281220285*s[59])/28512 + (13737764479*s[60])/57024 - 
       (1117094219*s[61])/85536 - s[64]/3 - s[65]/2 - (7*s[66])/6 + 2*s[67] + 
       (4*s[68])/3 + (19*s[69])/6 + (2*s[70])/3 - (3*s[71])/2 + 
       (35*s[72])/3 + (5*s[73])/2 - (181*s[74])/12 + (173*s[75])/12 - 
       (22*s[76])/3 - (23*s[77])/3 + (61*s[78])/6 + 320*s[79] - 
       (766*s[80])/9 + 792*s[82] - 2*s[83] + 154*s[84] + 220*s[85]) + 
     HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u]*((82*s[2])/3 + 
       (1457*s[3])/12 + (31513*s[4])/12 + (503897*s[5])/264 + 
       (631393*s[6])/132 + (51784369*s[7])/1188 - (1017844*s[8])/297 - 
       (7968703*s[9])/216 - (628085*s[10])/54 - (12672797*s[11])/264 - 
       (83187175*s[12])/1584 - (150042773*s[13])/4752 - (3032627*s[14])/528 - 
       (1559896*s[15])/27 - (349465031*s[16])/4752 - (134122805*s[17])/2376 - 
       (579977*s[18])/72 - (1404443*s[19])/216 - (34507633*s[20])/396 - 
       (450639427*s[21])/14256 + (327543787*s[22])/14256 + 
       (14763769*s[23])/297 + (85214321*s[24])/1782 - 
       (7813696687*s[25])/128304 + (4301241073*s[26])/128304 + s[28]/2 + 
       (9*s[29])/2 + s[30]/6 + (101*s[31])/6 - (71*s[32])/12 + 
       (25*s[33])/12 - (79*s[34])/6 - (121*s[35])/6 - (752*s[36])/9 + 
       (241*s[37])/2 + (4660*s[38])/3 - (35891*s[39])/6 + (121645*s[40])/18 - 
       (21225*s[41])/4 + (617201*s[42])/72 + (48398*s[43])/9 - 
       (816977*s[44])/144 + (36611*s[45])/6 - (429062*s[46])/9 + 
       (804727*s[47])/432 + (496831*s[48])/432 - (10568191*s[49])/432 + 
       (330548*s[50])/9 + (2596241*s[51])/432 + (2072105*s[52])/432 - 
       (5420675*s[53])/216 + (7181*s[54])/18 - (23047771*s[55])/144 - 
       (18237193*s[56])/432 + (13987333*s[57])/324 - (289668605*s[58])/3888 + 
       (291768485*s[59])/3888 + (1019374021*s[60])/2592 - 
       (360340459*s[61])/17496 - 2*s[63] + s[64]/2 + (13*s[65])/6 + 
       (25*s[66])/6 - (7*s[67])/3 + (11*s[68])/3 - (95*s[69])/6 + 
       (107*s[70])/3 - (17*s[71])/3 + (25*s[72])/3 + (19*s[73])/3 - 
       (269*s[74])/12 + (281*s[75])/12 - (29*s[76])/2 - (98*s[77])/3 - 
       (19*s[78])/3 + 619*s[79] - (461*s[80])/3 + 816*s[82] - (25*s[83])/2 + 
       279*s[84] + 224*s[85]) + HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*
      ((121*s[2])/3 + 127*s[3] + (10785*s[4])/4 + (515357*s[5])/264 + 
       (653903*s[6])/132 + (211367995*s[7])/4752 - (6330151*s[8])/1782 - 
       (24329045*s[9])/648 - (7641151*s[10])/648 - (232995679*s[11])/4752 - 
       (255096311*s[12])/4752 - (25586081*s[13])/792 - 
       (13724879*s[14])/2376 - (8477845*s[15])/144 - (118989587*s[16])/1584 - 
       (273944507*s[17])/4752 - (7896911*s[18])/972 - (13066121*s[19])/1944 - 
       (1896972659*s[20])/21384 - (343450651*s[21])/10692 + 
       (250124153*s[22])/10692 + (40206247*s[23])/792 + 
       (261122683*s[24])/5346 - (11997634961*s[25])/192456 + 
       (6591683045*s[26])/192456 - (7*s[30])/6 + (37*s[31])/3 + 
       (14*s[32])/3 + (133*s[33])/24 - (40*s[34])/3 - (40*s[35])/3 - 
       (3209*s[36])/36 + (1114*s[37])/9 + (9475*s[38])/6 - 
       (298433*s[39])/48 + (1005455*s[40])/144 - (262381*s[41])/48 + 
       (1285189*s[42])/144 + (8800669*s[43])/1584 - (18619709*s[44])/3168 + 
       (4927457*s[45])/792 - (77727029*s[46])/1584 + (18890527*s[47])/9504 + 
       (10123945*s[48])/9504 - (240984457*s[49])/9504 + 
       (29868089*s[50])/792 + (58316957*s[51])/9504 + (46824035*s[52])/9504 - 
       (123023965*s[53])/4752 + (188257*s[54])/396 - (521741663*s[55])/3168 - 
       (137660873*s[56])/3168 + (3932491*s[57])/88 - (2186765279*s[58])/
        28512 + (2208981629*s[59])/28512 + (23038433251*s[60])/57024 - 
       (5436230101*s[61])/256608 + 3*s[62] - s[65]/12 + s[66]/6 + 
       (8*s[67])/3 + (61*s[68])/6 - (29*s[69])/6 + (163*s[70])/6 - 
       (8*s[71])/3 + (56*s[72])/3 - 16*s[73] - (101*s[74])/4 + (95*s[75])/4 - 
       (131*s[76])/6 - (149*s[77])/6 + (56*s[78])/3 + (1786*s[79])/3 - 
       (1351*s[80])/9 - s[81]/12 + 816*s[82] - (25*s[83])/2 + 279*s[84] + 
       224*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*((797*s[2])/12 + (487*s[3])/24 + 
       (116501*s[4])/48 + (47401*s[5])/24 + (76197*s[6])/16 + 
       (37144487*s[7])/864 - (1413739*s[8])/432 - (1972715*s[9])/54 - 
       (1269839*s[10])/108 - (4520797*s[11])/96 - (459757*s[12])/9 - 
       (26483143*s[13])/864 - (206723*s[14])/32 - (49628587*s[15])/864 - 
       (15735991*s[16])/216 - (49106507*s[17])/864 - (217522*s[18])/27 - 
       (2676583*s[19])/432 - (37413673*s[20])/432 - (82538897*s[21])/2592 + 
       (58876169*s[22])/2592 + (10327385*s[23])/216 + (15218293*s[24])/324 - 
       (691428439*s[25])/11664 + (386406235*s[26])/11664 + 15*s[29] + 
       s[30]/6 + (83*s[31])/3 - (41*s[32])/3 + (215*s[33])/12 - 
       (63*s[34])/2 + (13*s[35])/2 - (283*s[36])/3 + (3355*s[37])/36 + 
       1438*s[38] - (46807*s[39])/8 + (52911*s[40])/8 - (41939*s[41])/8 + 
       (67937*s[42])/8 + (1357571*s[43])/264 - (367409*s[44])/66 + 
       (4554413*s[45])/792 - (18210781*s[46])/396 + (742217*s[47])/396 + 
       (714181*s[48])/792 - (4696009*s[49])/198 + (1176556*s[50])/33 + 
       (4638845*s[51])/792 + (3667673*s[52])/792 - (58006945*s[53])/2376 + 
       (89849*s[54])/396 - (40910849*s[55])/264 - (48288853*s[56])/1188 + 
       (301283135*s[57])/7128 - (1536553861*s[58])/21384 + 
       (1555038817*s[59])/21384 + (1798858229*s[60])/4752 - 
       (3808955407*s[61])/192456 + 5*s[62] - (5*s[66])/3 + (14*s[67])/3 + 
       (2*s[68])/3 + (20*s[69])/3 + (79*s[70])/3 - (14*s[71])/3 + 19*s[72] - 
       (43*s[73])/3 - (367*s[74])/12 + (347*s[75])/12 - (65*s[76])/3 - 
       (299*s[77])/6 + (50*s[78])/3 + (1928*s[79])/3 - (2657*s[80])/18 - 
       s[81]/6 + 784*s[82] - 10*s[83] + 296*s[84] + 224*s[85]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((3775*s[2])/72 + (505*s[3])/48 + (67871*s[4])/32 + 
       (1306183*s[5])/792 + (13066289*s[6])/3168 + (2117543189*s[7])/57024 - 
       (249971987*s[8])/85536 - (61294561*s[9])/1944 - 
       (38779627*s[10])/3888 - (2324231243*s[11])/57024 - 
       (79261295*s[12])/1782 - (56193067*s[13])/2112 - 
       (314696399*s[14])/57024 - (84986233*s[15])/1728 - 
       (37218025*s[16])/594 - (2755364701*s[17])/57024 - 
       (81121507*s[18])/11664 - (121672513*s[19])/23328 - 
       (19199296093*s[20])/256608 - (14009903477*s[21])/513216 + 
       (10072251865*s[22])/513216 + (5472211*s[23])/132 + 
       (650919425*s[24])/16038 - (118793731753*s[25])/2309472 + 
       (66077944561*s[26])/2309472 + (14*s[30])/9 + (289*s[31])/18 - 
       (14*s[32])/9 + (847*s[33])/144 - (164*s[34])/9 - (167*s[35])/36 - 
       (7153*s[36])/108 + (24211*s[37])/216 + (46189*s[38])/36 - 
       (93563*s[39])/18 + (638017*s[40])/108 - (83983*s[41])/18 + 
       (1631569*s[42])/216 + (2730217*s[43])/594 - (5851181*s[44])/1188 + 
       (24775283*s[45])/4752 - (196248733*s[46])/4752 + 
       (12217559*s[47])/7128 + (5555585*s[48])/7128 - (74375821*s[49])/3564 + 
       (75607855*s[50])/2376 + (37775251*s[51])/7128 + 
       (14936753*s[52])/3564 - (310898801*s[53])/14256 + 
       (905393*s[54])/1188 - (329662051*s[55])/2376 - (11016188*s[56])/297 + 
       (45687415*s[57])/1188 - (692613299*s[58])/10692 + 
       (1393665049*s[59])/21384 + (29017396003*s[60])/85536 - 
       (864084329*s[61])/48114 + 4*s[62] + s[65]/9 - (5*s[66])/9 - 
       (29*s[67])/9 + (37*s[68])/9 - (104*s[69])/9 + (226*s[70])/9 - 
       (145*s[71])/36 + (275*s[72])/18 - 12*s[73] - (547*s[74])/24 + 
       (511*s[75])/24 - (685*s[76])/18 - (1139*s[77])/36 + (94*s[78])/9 + 
       (5534*s[79])/9 - (15779*s[80])/108 - s[81]/6 + 739*s[82] - 
       (37*s[83])/3 + 267*s[84] + (676*s[85])/3) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((4381*s[2])/72 + (2413*s[3])/144 + (827977*s[4])/288 + 
       (1725817*s[5])/792 + (17214931*s[6])/3168 + (2798678021*s[7])/57024 - 
       (12292301*s[8])/3168 - (17997391*s[9])/432 - (942899*s[10])/72 - 
       (1025352149*s[11])/19008 - (11659991*s[12])/198 - 
       (2017010293*s[13])/57024 - (131305769*s[14])/19008 - 
       (337188659*s[15])/5184 - (590069303*s[16])/7128 - 
       (3635404097*s[17])/57024 - (17930987*s[18])/1944 - 
       (53922361*s[19])/7776 - (8421503935*s[20])/85536 - 
       (6155114071*s[21])/171072 + (492875015*s[22])/19008 + 
       (797463989*s[23])/14256 + (762145259*s[24])/14256 - 
       (52474153817*s[25])/769824 + (29124675551*s[26])/769824 + 3*s[28] + 
       s[29] + (10*s[30])/9 + (511*s[31])/18 - (305*s[32])/18 + 
       (2231*s[33])/144 - (545*s[34])/18 - (1135*s[35])/36 - 
       (2902*s[36])/27 + (1487*s[37])/12 + (61661*s[38])/36 - 
       (979883*s[39])/144 + (3319705*s[40])/432 - (292489*s[41])/48 + 
       (4262393*s[42])/432 + (2614069*s[43])/432 - (1386143*s[44])/216 + 
       (240983*s[45])/36 - (23074291*s[46])/432 + (182327*s[47])/81 + 
       (1330241*s[48])/1296 - (8887643*s[49])/324 + (8876183*s[50])/216 + 
       (8954305*s[51])/1296 + (7080805*s[52])/1296 - (9122561*s[53])/324 + 
       (37207*s[54])/54 - (77227049*s[55])/432 - (3847004*s[56])/81 + 
       (197380103*s[57])/3888 - (489801971*s[58])/5832 + 
       (987728125*s[59])/11664 + (1704034381*s[60])/3888 - 
       (4829400467*s[61])/209952 - 10*s[63] - s[64] + (7*s[65])/9 + s[66]/9 + 
       (4*s[67])/9 + (58*s[68])/9 - (41*s[69])/9 + (469*s[70])/9 - 
       (61*s[71])/9 + (403*s[72])/18 - (269*s[73])/18 - (2225*s[74])/72 + 
       (2369*s[75])/72 - (181*s[76])/6 - (2695*s[77])/36 + (503*s[78])/18 + 
       720*s[79] - (2819*s[80])/18 + 639*s[82] - (59*s[83])/6 + 312*s[84] + 
       (676*s[85])/3) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - u]*((-103*s[2])/3 + (481*s[3])/6 - 
       (6029*s[4])/24 + (265*s[5])/3 + 109*s[6] + (91075*s[7])/216 + 
       (66041*s[8])/324 - (28951*s[9])/81 - (82334*s[10])/81 + 
       (2881*s[11])/432 + (358697*s[12])/432 + (7114*s[13])/9 - 
       (217457*s[14])/108 - (17492*s[15])/9 - (116231*s[16])/72 - 
       (1411603*s[17])/432 + (33007*s[18])/972 - (1126163*s[19])/1944 - 
       (5691163*s[20])/1944 - (2577433*s[21])/1944 + (229271*s[22])/1944 - 
       (753509*s[23])/144 + (7192177*s[24])/3888 + (3539243*s[25])/4374 + 
       (5622049*s[26])/17496 - (7*s[30])/2 - (77*s[31])/3 + (53*s[32])/6 - 
       (641*s[33])/24 + (341*s[34])/6 + (53*s[35])/3 + (439*s[36])/9 - 
       (181*s[37])/2 - (305*s[38])/6 + (6127*s[39])/24 - (11909*s[40])/72 + 
       (407*s[41])/8 - (35869*s[42])/72 + (274409*s[43])/792 - 
       (288247*s[44])/1584 + (283441*s[45])/264 - (472651*s[46])/99 - 
       (2961139*s[47])/4752 + (5830391*s[48])/4752 - (7350779*s[49])/4752 + 
       (420715*s[50])/99 - (1745225*s[51])/4752 - (2045111*s[52])/4752 - 
       (1894033*s[53])/594 - (159587*s[54])/198 - (12061339*s[55])/528 - 
       (23474801*s[56])/4752 - (22601849*s[57])/1782 - 
       (128433685*s[58])/42768 + (166042489*s[59])/42768 + 
       (1383901115*s[60])/28512 - (543875087*s[61])/192456 + (4*s[64])/3 + 
       2*s[65] + (8*s[66])/3 - 4*s[67] - 15*s[68] + (16*s[69])/3 + 
       (32*s[70])/3 - (10*s[71])/3 + (2*s[72])/3 + (38*s[73])/3 + 
       (23*s[74])/2 - (19*s[75])/2 + (92*s[76])/3 - 12*s[77] - 
       (112*s[78])/3 - (20*s[79])/3 - 23*s[80] + 1075*s[82] - 5*s[83] - 
       6*s[84] + 228*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 0, 1, 1}, 1 - w]*((-125*s[2])/12 + (743*s[3])/8 + 
       (6509*s[4])/48 + (135785*s[5])/264 + (488359*s[6])/528 + 
       (74005727*s[7])/9504 - (5239525*s[8])/14256 - (533474*s[9])/81 - 
       (480755*s[10])/162 - (77207491*s[11])/9504 - (38078665*s[12])/4752 - 
       (42018239*s[13])/9504 - (29076781*s[14])/9504 - (10158685*s[15])/864 - 
       (16874485*s[16])/1188 - (41405659*s[17])/3168 - (2858321*s[18])/1944 - 
       (6091289*s[19])/3888 - (759938801*s[20])/42768 - 
       (591281923*s[21])/85536 + (341964659*s[22])/85536 + 
       (17095655*s[23])/4752 + (416151511*s[24])/42768 - 
       (3609931433*s[25])/384912 + (2330327471*s[26])/384912 - (20*s[30])/3 - 
       (41*s[31])/3 + (25*s[32])/6 - (533*s[33])/24 + (104*s[34])/3 + 
       (73*s[35])/6 + (527*s[36])/18 - (225*s[37])/4 + (238*s[38])/3 - 
       (5849*s[39])/24 + (26143*s[40])/72 - (8105*s[41])/24 + 
       (14279*s[42])/72 + (586625*s[43])/792 - (493001*s[44])/792 + 
       (71703*s[45])/44 - (6923393*s[46])/792 - (993569*s[47])/2376 + 
       (739273*s[48])/594 - (1017263*s[49])/297 + (712543*s[50])/99 + 
       (257303*s[51])/2376 - (74999*s[52])/1188 - (6279551*s[53])/1188 - 
       (348751*s[54])/396 - (14314339*s[55])/396 - (10281281*s[56])/1188 - 
       (59013497*s[57])/7128 - (101479843*s[58])/10692 + 
       (221681765*s[59])/21384 + (569397341*s[60])/7128 - 
       (1812995887*s[61])/384912 + (4*s[64])/3 + 2*s[65] + (8*s[66])/3 - 
       4*s[67] - 15*s[68] + (16*s[69])/3 + (32*s[70])/3 - 2*s[71] - 
       (7*s[72])/3 + (35*s[73])/3 + (115*s[74])/12 - (85*s[75])/12 + 
       (67*s[76])/3 - (21*s[77])/2 - (89*s[78])/3 - (64*s[79])/3 - 
       (113*s[80])/6 + 1075*s[82] - 5*s[83] - 6*s[84] + 228*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((497*s[2])/24 + (1619*s[3])/16 + (82655*s[4])/32 + (429949*s[5])/264 + 
       (4737619*s[6])/1056 + (257522471*s[7])/6336 - (31526329*s[8])/9504 - 
       (14819725*s[9])/432 - (1154909*s[10])/108 - (284016289*s[11])/6336 - 
       (77994695*s[12])/1584 - (187975775*s[13])/6336 - 
       (30762913*s[14])/6336 - (30902081*s[15])/576 - (6776828*s[16])/99 - 
       (110059429*s[17])/2112 - (598301*s[18])/81 - (15702749*s[19])/2592 - 
       (2302378871*s[20])/28512 - (1655427919*s[21])/57024 + 
       (1221769775*s[22])/57024 + (37579253*s[23])/792 + 
       (158195693*s[24])/3564 - (14665656947*s[25])/256608 + 
       (8003870609*s[26])/256608 + s[28] + s[29] + (28*s[30])/3 + 
       (67*s[31])/6 - 6*s[32] + (287*s[33])/48 - (65*s[34])/6 - 
       (295*s[35])/12 - (1519*s[36])/18 + (515*s[37])/6 + (5681*s[38])/4 - 
       (269677*s[39])/48 + (924215*s[40])/144 - (81367*s[41])/16 + 
       (1168117*s[42])/144 + (8114833*s[43])/1584 - (8573791*s[44])/1584 + 
       (1544309*s[45])/264 - (72426637*s[46])/1584 + (8127659*s[47])/4752 + 
       (695449*s[48])/594 - (110381219*s[49])/4752 + (27984419*s[50])/792 + 
       (13536041*s[51])/2376 + (10653245*s[52])/2376 - 
       (28720013*s[53])/1188 + (116351*s[54])/396 - (30568519*s[55])/198 - 
       (194024189*s[56])/4752 + (572931923*s[57])/14256 - 
       (3041754673*s[58])/42768 + (1534825289*s[59])/21384 + 
       (10770369869*s[60])/28512 - (15277133177*s[61])/769824 - 12*s[63] + 
       s[64] + (13*s[65])/6 + (11*s[66])/3 - (11*s[67])/3 + (22*s[68])/3 - 
       (38*s[69])/3 + (193*s[70])/3 - (13*s[71])/2 + (91*s[72])/6 - 
       (19*s[73])/2 - (545*s[74])/24 + (593*s[75])/24 - (95*s[76])/6 - 
       (293*s[77])/4 + (71*s[78])/6 + (2030*s[79])/3 - (497*s[80])/3 + 
       825*s[82] - 14*s[83] + 277*s[84] + 252*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((1247*s[2])/24 + (3791*s[3])/48 + (249923*s[4])/96 + 
       (257435*s[5])/132 + (5141765*s[6])/1056 + (833856473*s[7])/19008 - 
       (98551207*s[8])/28512 - (24051869*s[9])/648 - (15080105*s[10])/1296 - 
       (918490975*s[11])/19008 - (251471333*s[12])/4752 - 
       (603170417*s[13])/19008 - (113820463*s[14])/19008 - 
       (100111783*s[15])/1728 - (351492377*s[16])/4752 - 
       (359350547*s[17])/6336 - (31748153*s[18])/3888 - 
       (49795301*s[19])/7776 - (7517592449*s[20])/85536 - 
       (5454198109*s[21])/171072 + (3953324201*s[22])/171072 + 
       (118477589*s[23])/2376 + (1026570799*s[24])/21384 - 
       (47149296299*s[25])/769824 + (26007195635*s[26])/769824 - 12*s[30] + 
       (31*s[31])/2 + (11*s[32])/6 + (33*s[33])/16 - 16*s[34] + s[35]/4 - 
       (1531*s[36])/18 + (2465*s[37])/24 + (9541*s[38])/6 - 
       (294155*s[39])/48 + (995873*s[40])/144 - (261533*s[41])/48 + 
       (1263703*s[42])/144 + (8774911*s[43])/1584 - (18463997*s[44])/3168 + 
       (3350203*s[45])/528 - (9760907*s[46])/198 + (18055327*s[47])/9504 + 
       (12307453*s[48])/9504 - (239442325*s[49])/9504 + 
       (30043895*s[50])/792 + (58215173*s[51])/9504 + (46574303*s[52])/9504 - 
       (123543587*s[53])/4752 + (206951*s[54])/396 - (525134431*s[55])/3168 - 
       (417119863*s[56])/9504 + (308497291*s[57])/7128 - 
       (6562203641*s[58])/85536 + (6610937111*s[59])/85536 + 
       (23193476473*s[60])/57024 - (16516669517*s[61])/769824 + (9*s[62])/2 + 
       (5*s[65])/6 + s[66]/3 + 5*s[67] + (29*s[68])/3 + s[69]/3 + 42*s[70] - 
       (27*s[71])/4 + (23*s[72])/2 - (67*s[73])/6 - (209*s[74])/8 + 
       (197*s[75])/8 - (107*s[76])/6 - (529*s[77])/12 - (29*s[78])/6 + 
       (1793*s[79])/3 - (1591*s[80])/12 - s[81]/6 + 725*s[82] - 
       (23*s[83])/2 + 322*s[84] + 252*s[85]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      (66*s[2] + (483*s[3])/2 + (7565*s[4])/2 + 2991*s[5] + 
       (173651*s[6])/24 + (4622929*s[7])/72 - (15262*s[8])/3 - 
       (650417*s[9])/12 - (34309*s[10])/2 - (1126083*s[11])/16 - 
       (3674105*s[12])/48 - (3297605*s[13])/72 - (72513*s[14])/8 - 
       (1031135*s[15])/12 - (7830491*s[16])/72 - (12204035*s[17])/144 - 
       (2603983*s[18])/216 - (1016395*s[19])/108 - (27800053*s[20])/216 - 
       (10188761*s[21])/216 + (404057*s[22])/12 + (10554209*s[23])/144 + 
       (10096799*s[24])/144 - (346224373*s[25])/3888 + 
       (192693823*s[26])/3888 + 3*s[30] + (74*s[31])/3 - (101*s[32])/6 + 
       (9*s[33])/4 - (80*s[34])/3 - (83*s[35])/2 - (5161*s[36])/36 + 
       (333*s[37])/2 + (24425*s[38])/12 - (393767*s[39])/48 + 
       (1314793*s[40])/144 - (115147*s[41])/16 + (1703027*s[42])/144 + 
       (11488283*s[43])/1584 - (24211411*s[44])/3168 + (2220415*s[45])/264 - 
       (103820507*s[46])/1584 + (25916129*s[47])/9504 + 
       (10066163*s[48])/9504 - (314654639*s[49])/9504 + (9980389*s[50])/198 + 
       (77013463*s[51])/9504 + (61724125*s[52])/9504 - 
       (83248343*s[53])/2376 + (102898*s[54])/99 - (703862945*s[55])/3168 - 
       (556703885*s[56])/9504 + (204256759*s[57])/3564 - 
       (8708507167*s[58])/85536 + (8831034373*s[59])/85536 + 
       (30610586285*s[60])/57024 - (22127674891*s[61])/769824 + s[64]/3 - 
       (4*s[65])/3 - (20*s[66])/3 + (44*s[67])/3 + 11*s[68] + 10*s[69] + 
       (22*s[70])/3 - (8*s[71])/3 + (103*s[72])/3 - (121*s[73])/6 - 
       (147*s[74])/4 + (455*s[75])/12 - (97*s[76])/3 - (103*s[77])/6 + 
       (295*s[78])/6 + (1931*s[79])/3 - (267*s[80])/2 + 1122*s[82] + 
       (11*s[83])/2 + 327*s[84] + 300*s[85]) + HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - u]*((7*s[2])/2 + (2673*s[3])/4 + (34119*s[4])/8 + 
       (24648*s[5])/11 + (598111*s[6])/88 + (31313123*s[7])/528 - 
       (12029903*s[8])/2376 - (5323835*s[9])/108 - (808865*s[10])/54 - 
       (104610761*s[11])/1584 - (58199495*s[12])/792 - 
       (70845941*s[13])/1584 - (7780523*s[14])/1584 - (11111635*s[15])/144 - 
       (19661971*s[16])/198 - (116903243*s[17])/1584 - (1736171*s[18])/162 - 
       (6104161*s[19])/648 - (822017443*s[20])/7128 - 
       (582817421*s[21])/14256 + (440014693*s[22])/14256 + 
       (57789947*s[23])/792 + (465555821*s[24])/7128 - 
       (5488334161*s[25])/64152 + (2935626541*s[26])/64152 + 3*s[30] - 
       12*s[31] + 45*s[32] - 5*s[33] + 37*s[34] - 17*s[35] - 73*s[36] + 
       (1153*s[37])/6 + 2324*s[38] - (17353*s[39])/2 + (19503*s[40])/2 - 
       (15003*s[41])/2 + (48849*s[42])/4 + (174275*s[43])/22 - 
       (709999*s[44])/88 + (1157633*s[45])/132 - (8919413*s[46])/132 + 
       (734929*s[47])/264 + (421693*s[48])/264 - (9311953*s[49])/264 + 
       (564093*s[50])/11 + (750405*s[51])/88 + (1877459*s[52])/264 - 
       (3462748*s[53])/99 + (87227*s[54])/66 - (59109571*s[55])/264 - 
       (47103433*s[56])/792 + (19145564*s[57])/297 - (760001123*s[58])/7128 + 
       (763090085*s[59])/7128 + (293754455*s[60])/528 - 
       (1867016435*s[61])/64152 + 3*s[65] + 12*s[66] - 18*s[67] + 36*s[68] - 
       60*s[69] + 28*s[70] - 3*s[71] - 6*s[72] + 30*s[73] - (23*s[74])/2 + 
       (23*s[75])/2 - 6*s[76] + 41*s[77] - 30*s[78] + 740*s[79] - 
       (719*s[80])/3 + 1236*s[82] - 33*s[83] + 258*s[84] + 336*s[85]) + 
     HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      (32*s[2] + (1155*s[3])/2 + (11571*s[4])/4 + (108401*s[5])/44 + 
       (262707*s[6])/44 + (4494967*s[7])/88 - (4318909*s[8])/1188 - 
       (2321401*s[9])/54 - (1503775*s[10])/108 - (44755297*s[11])/792 - 
       (48884195*s[12])/792 - (7377871*s[13])/198 - (3153659*s[14])/396 - 
       (4848113*s[15])/72 - (68299897*s[16])/792 - (52715719*s[17])/792 - 
       (3177235*s[18])/324 - (2552735*s[19])/324 - (367123877*s[20])/3564 - 
       (67864681*s[21])/1782 + (94876735*s[22])/3564 + (5465947*s[23])/99 + 
       (101788637*s[24])/1782 - (4566604699*s[25])/64152 + 
       (2563263487*s[26])/64152 + 6*s[29] - 6*s[30] - 6*s[31] + 42*s[32] - 
       23*s[33] + 42*s[34] - 30*s[35] - 21*s[36] + (443*s[37])/3 + 
       1938*s[38] - (26813*s[39])/4 + (30257*s[40])/4 - (22785*s[41])/4 + 
       (18269*s[42])/2 + (283963*s[43])/44 - (70100*s[44])/11 + 
       (505537*s[45])/66 - (7333949*s[46])/132 + (82041*s[47])/44 + 
       (47835*s[48])/22 - (627857*s[49])/22 + (920863*s[50])/22 + 
       (280919*s[51])/44 + (241295*s[52])/44 - (2817577*s[53])/99 + 
       (78371*s[54])/66 - (4060879*s[55])/22 - (4916192*s[56])/99 + 
       (54936611*s[57])/1188 - (77048833*s[58])/891 + 
       (307411657*s[59])/3564 + (183091001*s[60])/396 - 
       (1578396293*s[61])/64152 + 12*s[63] - 4*s[64] + 6*s[65] + 36*s[66] - 
       24*s[67] + 36*s[68] - 96*s[69] + 28*s[70] - 6*s[71] - 16*s[72] + 
       8*s[73] - 5*s[75] - 6*s[76] + 68*s[77] - 78*s[78] + 452*s[79] - 
       (428*s[80])/3 + 1236*s[82] - 33*s[83] + 258*s[84] + 336*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]^2*((87*s[2])/2 + (853*s[3])/8 + 
       (43809*s[4])/16 + (391333*s[5])/176 + (236569*s[6])/44 + 
       (51833791*s[7])/1056 - (244559*s[8])/66 - (1996313*s[9])/48 - 
       (655393*s[10])/48 - (19003791*s[11])/352 - (10338761*s[12])/176 - 
       (37153661*s[13])/1056 - (2607985*s[14])/352 - (6272015*s[15])/96 - 
       (43995367*s[16])/528 - (68405857*s[17])/1056 - (1290947*s[18])/144 - 
       (1108033*s[19])/144 - (157064863*s[20])/1584 - (38200363*s[21])/1056 + 
       (81981839*s[22])/3168 + (27610619*s[23])/528 + (86541949*s[24])/1584 - 
       (71822603*s[25])/1056 + (13298297*s[26])/352 + 6*s[31] + (7*s[32])/2 - 
       (89*s[33])/8 + (3*s[34])/2 - 31*s[35] - (181*s[36])/2 + 
       (1327*s[37])/24 + (6659*s[38])/4 - (25925*s[39])/4 + (29469*s[40])/4 - 
       (46743*s[41])/8 + (73187*s[42])/8 + (267497*s[43])/44 - 
       (568501*s[44])/88 + (1250981*s[45])/176 - (9593871*s[46])/176 + 
       (219889*s[47])/132 + (268267*s[48])/132 - (933781*s[49])/33 + 
       (1864949*s[50])/44 + (1679351*s[51])/264 + (1306225*s[52])/264 - 
       (15290029*s[53])/528 - (74073*s[54])/88 - (48946435*s[55])/264 - 
       (12638711*s[56])/264 + (32606183*s[57])/792 - (393130085*s[58])/4752 + 
       (49846657*s[59])/594 + (1441278727*s[60])/3168 - 
       (2037393487*s[61])/85536 - s[65] - 4*s[66] + 6*s[67] - 3*s[68] + 
       15*s[69] + 32*s[70] - (11*s[71])/4 + 8*s[72] - 16*s[73] - 28*s[74] + 
       28*s[75] + 6*s[76] - 42*s[77] + 8*s[78] + 624*s[79] - (773*s[80])/4 + 
       1394*s[82] + (3*s[83])/2 + 201*s[84] + 340*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]^2*((33*s[2])/2 + (281*s[3])/8 + 
       (24599*s[4])/16 + (229425*s[5])/176 + (267667*s[6])/88 + 
       (90628457*s[7])/3168 - (5025595*s[8])/2376 - (10491241*s[9])/432 - 
       (3518105*s[10])/432 - (99846617*s[11])/3168 - (54285629*s[12])/1584 - 
       (21518039*s[13])/1056 - (14067551*s[14])/3168 - (1219009*s[15])/32 - 
       (6434237*s[16])/132 - (120148705*s[17])/3168 - (6730931*s[18])/1296 - 
       (6049507*s[19])/1296 - (829324501*s[20])/14256 - 
       (604704011*s[21])/28512 + (431083705*s[22])/28512 + 
       (7800871*s[23])/264 + (229253461*s[24])/7128 - 
       (10150300637*s[25])/256608 + (5646059729*s[26])/256608 - 2*s[29] - 
       s[30]/2 - 3*s[31] + 2*s[32] - (139*s[33])/8 + 10*s[34] - 24*s[35] - 
       (164*s[36])/3 + (101*s[37])/8 + 990*s[38] - (30571*s[39])/8 + 
       (104257*s[40])/24 - (27625*s[41])/8 + (128447*s[42])/24 + 
       (947327*s[43])/264 - (1022723*s[44])/264 + (735167*s[45])/176 - 
       (16957921*s[46])/528 + (701257*s[47])/792 + (135470*s[48])/99 - 
       (13495525*s[49])/792 + (6652517*s[50])/264 + (366628*s[51])/99 + 
       (564821*s[52])/198 - (26967185*s[53])/1584 - (31006*s[54])/33 - 
       (28782647*s[55])/264 - (10970165*s[56])/396 + (55767403*s[57])/2376 - 
       (690496909*s[58])/14256 + (43802146*s[59])/891 + 
       (2567442797*s[60])/9504 - (3578461133*s[61])/256608 - s[64] - 
       (7*s[65])/4 - 3*s[66] + 7*s[67] - 3*s[68] + 16*s[69] + (55*s[70])/2 + 
       3*s[72] - 17*s[73] - (65*s[74])/4 + (55*s[75])/4 + 7*s[76] - 
       41*s[77] + 5*s[78] + 350*s[79] - (479*s[80])/4 + 1394*s[82] + 
       (3*s[83])/2 + 201*s[84] + 340*s[85]) + HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*(13*s[2] + (173*s[3])/2 + 
       1765*s[4] + (12183*s[5])/11 + (34989*s[6])/11 + (22745969*s[7])/792 - 
       (215693*s[8])/99 - (872941*s[9])/36 - (71987*s[10])/9 - 
       (8388361*s[11])/264 - (2297533*s[12])/66 - (16582213*s[13])/792 - 
       (1035451*s[14])/264 - (2715713*s[15])/72 - (19254899*s[16])/396 - 
       (29367563*s[17])/792 - (564283*s[18])/108 - (493853*s[19])/108 - 
       (68461505*s[20])/1188 - (5477129*s[21])/264 + (35998117*s[22])/2376 + 
       (12376765*s[23])/396 + (37983299*s[24])/1188 - 
       (286988605*s[25])/7128 + (157554277*s[26])/7128 - s[30] - 2*s[31] + 
       20*s[32] - (67*s[33])/4 + 13*s[34] - 20*s[35] - 54*s[36] - 
       (161*s[37])/6 + 1002*s[38] - (7715*s[39])/2 + (8887*s[40])/2 - 
       (7167*s[41])/2 + (10903*s[42])/2 + (79019*s[43])/22 - 
       (173795*s[44])/44 + (521159*s[45])/132 - (4168067*s[46])/132 + 
       (110353*s[47])/132 + (196087*s[48])/132 - (2230561*s[49])/132 + 
       (271068*s[50])/11 + (507929*s[51])/132 + (398999*s[52])/132 - 
       (6483271*s[53])/396 - (10988*s[54])/33 - (13858543*s[55])/132 - 
       (10866041*s[56])/396 + (7768205*s[57])/297 - (43183897*s[58])/891 + 
       (173484865*s[59])/3564 + (52462901*s[60])/198 - 
       (865993397*s[61])/64152 - 2*s[64] - 3*s[65] - 8*s[66] + 18*s[67] - 
       8*s[68] + 32*s[69] + 26*s[70] - 2*s[71] - 24*s[73] - 23*s[74] + 
       13*s[75] + 2*s[76] - 48*s[77] + 480*s[79] - (467*s[80])/3 + 
       1028*s[82] - 15*s[83] + 234*s[84] + 352*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((89*s[2])/2 + (393*s[3])/4 + (18641*s[4])/8 + (85719*s[5])/44 + 
       (432057*s[6])/88 + (22763677*s[7])/528 - (7324847*s[8])/2376 - 
       (3953387*s[9])/108 - (654389*s[10])/54 - (75086657*s[11])/1584 - 
       (5084014*s[12])/99 - (48990803*s[13])/1584 - (11375321*s[14])/1584 - 
       (8251213*s[15])/144 - (28978139*s[16])/396 - (90609587*s[17])/1584 - 
       (2571127*s[18])/324 - (4293721*s[19])/648 - (623244433*s[20])/7128 - 
       (458074019*s[21])/14256 + (324017275*s[22])/14256 + 
       (17623321*s[23])/396 + (42846097*s[24])/891 - (953291407*s[25])/
        16038 + (267356315*s[26])/8019 + 6*s[31] - 3*s[32] + (19*s[33])/4 - 
       2*s[34] - 33*s[35] - (563*s[36])/6 - 45*s[37] + 1450*s[38] - 
       5509*s[39] + (18940*s[40])/3 - 5068*s[41] + (46363*s[42])/6 + 
       (176408*s[43])/33 - (1484707*s[44])/264 + (136333*s[45])/22 - 
       (3121387*s[46])/66 + (966545*s[47])/792 + (1732541*s[48])/792 - 
       (19405751*s[49])/792 + (2417551*s[50])/66 + (4332481*s[51])/792 + 
       (3422827*s[52])/792 - (9887761*s[53])/396 - (17293*s[54])/66 - 
       (42320063*s[55])/264 - (33148589*s[56])/792 + (40925479*s[57])/1188 - 
       (509440159*s[58])/7128 + (515283787*s[59])/7128 + 
       (1881436913*s[60])/4752 - (332533177*s[61])/16038 - 2*s[65] - 
       8*s[66] + 12*s[67] - 2*s[68] + 26*s[69] + 28*s[70] - 7*s[71] + 
       6*s[72] - 42*s[73] - (51*s[74])/2 + (35*s[75])/2 - 10*s[76] - 
       41*s[77] + 14*s[78] + 584*s[79] - 140*s[80] + 1028*s[82] - 15*s[83] + 
       234*s[84] + 352*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 
       1 - u]*((209*s[2])/4 + (531*s[3])/4 + (5691*s[4])/8 + 
       (134383*s[5])/88 + (59261*s[6])/22 + (4271491*s[7])/176 - 
       (387823*s[8])/297 - (2239271*s[9])/108 - (1769393*s[10])/216 - 
       (41547389*s[11])/1584 - (21443591*s[12])/792 - (24795905*s[13])/1584 - 
       (10699607*s[14])/1584 - (4980835*s[15])/144 - (34208815*s[16])/792 - 
       (58599245*s[17])/1584 - (3017927*s[18])/648 - (2818939*s[19])/648 - 
       (376310527*s[20])/7128 - (293740775*s[21])/14256 + 
       (182065867*s[22])/14256 + (7283491*s[23])/396 + 
       (203195585*s[24])/7128 - (3999043199*s[25])/128304 + 
       (2438399099*s[26])/128304 - 3*s[30] + 9*s[31] + 9*s[32] - 
       (173*s[33])/8 + s[34] - (33*s[35])/2 - (111*s[36])/2 - 
       (857*s[37])/24 + (2217*s[38])/4 - (17555*s[39])/8 + (19823*s[40])/8 - 
       (8081*s[41])/4 + 2898*s[42] + (221765*s[43])/88 - (449641*s[44])/176 + 
       (1985543*s[45])/528 - (13408811*s[46])/528 + (33857*s[47])/528 + 
       (993695*s[48])/528 - (6669275*s[49])/528 + (898023*s[50])/44 + 
       (319523*s[51])/176 + (562027*s[52])/528 - (22496449*s[53])/1584 - 
       (824749*s[54])/264 - (16337671*s[55])/176 - (35446973*s[56])/1584 + 
       (2861323*s[57])/594 - (124451461*s[58])/3564 + 
       (520179799*s[59])/14256 + (4825375*s[60])/22 - 
       (3103277843*s[61])/256608 - 3*s[65] - 12*s[66] + 18*s[67] + 
       (3*s[68])/2 + (69*s[69])/2 + 35*s[70] + (15*s[71])/4 + 6*s[72] + 
       4*s[73] + (13*s[74])/2 + (35*s[75])/2 + 9*s[76] - 47*s[77] + 
       18*s[78] - 40*s[79] - (95*s[80])/12 + 2592*s[82] + 21*s[83] - 
       48*s[84] + 384*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1}, 1 - w]*
      ((245*s[2])/4 + 19*s[3] - 60*s[4] + (58649*s[5])/44 + (87451*s[6])/44 + 
       (4267151*s[7])/264 - (946579*s[8])/2376 - (1519723*s[9])/108 - 
       (682883*s[10])/108 - (27017689*s[11])/1584 - (13146865*s[12])/792 - 
       (14638429*s[13])/1584 - (11766445*s[14])/1584 - (1733167*s[15])/72 - 
       (47190427*s[16])/1584 - (43989931*s[17])/1584 - (513697*s[18])/162 - 
       (498275*s[19])/162 - (67757207*s[20])/1782 - (222739921*s[21])/14256 + 
       (121533689*s[22])/14256 + (7813523*s[23])/1584 + 
       (288148649*s[24])/14256 - (1208886641*s[25])/64152 + 
       (206957045*s[26])/16038 - (25*s[30])/2 + 9*s[31] + (15*s[32])/2 - 
       35*s[33] + 6*s[34] - 26*s[35] - (33*s[36])/4 - (1103*s[37])/12 + 
       198*s[38] - (12623*s[39])/16 + (14971*s[40])/16 - (13575*s[41])/16 + 
       (13339*s[42])/16 + (246849*s[43])/176 - (463989*s[44])/352 + 
       (702503*s[45])/264 - (8291323*s[46])/528 - (181175*s[47])/352 + 
       (730527*s[48])/352 - (2644187*s[49])/352 + (1144955*s[50])/88 + 
       (296885*s[51])/1056 - (14071*s[52])/352 - (14608115*s[53])/1584 - 
       (380965*s[54])/132 - (65244221*s[55])/1056 - (44789705*s[56])/3168 - 
       (9671045*s[57])/1188 - (532168075*s[58])/28512 + 
       (577306945*s[59])/28512 + (904688827*s[60])/6336 - 
       (2087891125*s[61])/256608 - (9*s[65])/4 - 9*s[66] + 15*s[67] + 
       (3*s[68])/2 + (63*s[69])/2 + 35*s[70] + 3*s[71] - 13*s[72] + 
       17*s[73] + 12*s[74] + (5*s[75])/2 + 25*s[76] - (75*s[77])/2 + 
       8*s[78] - 152*s[79] + (67*s[80])/6 + 2592*s[82] + 21*s[83] - 
       48*s[84] + 384*s[85]) + HPL[{0, 1}, 1 - v]*Qep[v, w, u]*
      ((440*s[2])/3 - (68*s[3])/3 + (16910*s[4])/3 + (166472*s[5])/33 + 
       (124662*s[6])/11 + (10240585*s[7])/99 - (7302290*s[8])/891 - 
       (7122148*s[9])/81 - (2269640*s[10])/81 - (33555787*s[11])/297 - 
       (36293204*s[12])/297 - (21602389*s[13])/297 - (4640599*s[14])/297 - 
       (3766601*s[15])/27 - (52184854*s[16])/297 - (41133073*s[17])/297 - 
       (4684160*s[18])/243 - (3647074*s[19])/243 - (557240326*s[20])/2673 - 
       (205208437*s[21])/2673 + (145923749*s[22])/2673 + 
       (34412714*s[23])/297 + (300621458*s[24])/2673 - 
       (3421017316*s[25])/24057 + (1914342508*s[26])/24057 + (32*s[30])/3 + 
       (224*s[31])/3 - (128*s[32])/3 + 44*s[33] - (352*s[34])/3 - 48*s[35] - 
       (2656*s[36])/9 + (4072*s[37])/9 + (9728*s[38])/3 - (42284*s[39])/3 + 
       (140932*s[40])/9 - 12140*s[41] + (186500*s[42])/9 + 
       (1146236*s[43])/99 - (1288712*s[44])/99 + (1284988*s[45])/99 - 
       (3507512*s[46])/33 + (1621744*s[47])/297 - (404*s[48])/297 - 
       (16179832*s[49])/297 + (8140424*s[50])/99 + (4222076*s[51])/297 + 
       (3246572*s[52])/297 - (629392*s[53])/11 + (42520*s[54])/33 - 
       (35514232*s[55])/99 - (27876320*s[56])/297 + (93374576*s[57])/891 - 
       (447529756*s[58])/2673 + (454941832*s[59])/2673 + 
       (769712942*s[60])/891 - (1100309218*s[61])/24057 - (32*s[65])/3 - 
       (128*s[66])/3 + 64*s[67] + (128*s[68])/3 + (256*s[69])/3 + 16*s[71] + 
       96*s[72] - (352*s[73])/3 - (280*s[74])/3 + (280*s[75])/3 - 
       (160*s[76])/3 - 48*s[77] + (544*s[78])/3 + (4160*s[79])/3 - 
       (4144*s[80])/9 + 2368*s[82] + 32*s[83] + 512*s[84] + 384*s[85]) + 
     HPL[{0, 1}, 1 - v]*Qep[v, u, w]*((712*s[2])/3 + (484*s[3])/3 + 
       (25786*s[4])/3 + (75344*s[5])/11 + (541294*s[6])/33 + 
       (1617993*s[7])/11 - (397366*s[8])/33 - 124672*s[9] - 38204*s[10] - 
       (5317027*s[11])/33 - (1936536*s[12])/11 - (1157763*s[13])/11 - 
       (656179*s[14])/33 - (1755827*s[15])/9 - (2716610*s[16])/11 - 
       (6264305*s[17])/33 - (261188*s[18])/9 - (168802*s[19])/9 - 
       (29129362*s[20])/99 - (3585101*s[21])/33 + (2554825*s[22])/33 + 
       (5823010*s[23])/33 + (5174018*s[24])/33 - (181546076*s[25])/891 + 
       (101599832*s[26])/891 + (128*s[30])/3 + 96*s[31] - (64*s[32])/3 + 
       (140*s[33])/3 - (416*s[34])/3 - (304*s[35])/3 - (1216*s[36])/3 + 
       (4592*s[37])/9 + 5456*s[38] - (64940*s[39])/3 + (72140*s[40])/3 - 
       18772*s[41] + 31324*s[42] + (211004*s[43])/11 - (218846*s[44])/11 + 
       (2128880*s[45])/99 - (16785572*s[46])/99 + (708758*s[47])/99 + 
       (238970*s[48])/99 - (8482250*s[49])/99 + (4280200*s[50])/33 + 
       (2115082*s[51])/99 + (1709398*s[52])/99 - (26887780*s[53])/297 + 
       (448120*s[54])/99 - (56755790*s[55])/99 - (45312866*s[56])/297 + 
       (137848820*s[57])/891 - (708641578*s[58])/2673 + 
       (719958142*s[59])/2673 + (136807589*s[60])/99 - 
       (1769789410*s[61])/24057 - (64*s[67])/3 - (128*s[69])/3 - 
       (64*s[70])/3 - (64*s[71])/3 + (224*s[72])/3 + 32*s[73] - 
       (296*s[74])/3 + (296*s[75])/3 - (544*s[76])/3 + (80*s[77])/3 + 
       (352*s[78])/3 + (5632*s[79])/3 - (2336*s[80])/9 + 448*s[82] + 
       960*s[84] + 384*s[85]) + HPL[{0, 1, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u]*(16*s[2] + (717*s[3])/4 + (5437*s[4])/2 + 
       (152829*s[5])/88 + (439085*s[6])/88 + (69659789*s[7])/1584 - 
       (2773699*s[8])/792 - (333877*s[9])/9 - (841987*s[10])/72 - 
       (8595865*s[11])/176 - (7126415*s[12])/132 - (51729103*s[13])/1584 - 
       (991231*s[14])/176 - (8197667*s[15])/144 - (14601029*s[16])/198 - 
       (87643835*s[17])/1584 - (144167*s[18])/18 - (484955*s[19])/72 - 
       (69421387*s[20])/792 - (149671853*s[21])/4752 + 
       (110072735*s[22])/4752 + (38822491*s[23])/792 + 
       (115876327*s[24])/2376 - (1329653257*s[25])/21384 + 
       (726337105*s[26])/21384 + 2*s[28] + s[30]/2 - 17*s[31] + 
       (25*s[32])/2 - (397*s[33])/8 + (83*s[34])/2 - 24*s[35] - 
       (155*s[36])/3 + (269*s[37])/6 + 1638*s[38] - (23867*s[39])/4 + 
       (82901*s[40])/12 - (21731*s[41])/4 + (100279*s[42])/12 + 
       (747283*s[43])/132 - (1560161*s[44])/264 + (432593*s[45])/66 - 
       (6533555*s[46])/132 + (1249585*s[47])/792 + (1636147*s[48])/792 - 
       (20222443*s[49])/792 + (1247443*s[50])/33 + (4785611*s[51])/792 + 
       (3880739*s[52])/792 - (10081399*s[53])/396 + (29321*s[54])/66 - 
       (43327859*s[55])/264 - (11601511*s[56])/264 + (17010409*s[57])/396 - 
       (61066645*s[58])/792 + (60871535*s[59])/792 + (1958546269*s[60])/
        4752 - (460891733*s[61])/21384 - 18*s[63] - s[64] + s[65] + 4*s[66] - 
       3*s[67] + 21*s[68] - 4*s[69] + 129*s[70] - 9*s[71] - 8*s[72] + 
       4*s[73] - (41*s[74])/2 + 12*s[75] + 25*s[76] - 140*s[77] - 26*s[78] + 
       648*s[79] - (544*s[80])/3 + 1014*s[82] - 18*s[83] + 276*s[84] + 
       396*s[85]) + HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((45*s[2])/4 + (1215*s[3])/8 + (43491*s[4])/16 + (73069*s[5])/44 + 
       (839749*s[6])/176 + (15259337*s[7])/352 - (16307735*s[8])/4752 - 
       (3956359*s[9])/108 - (2509579*s[10])/216 - (152238839*s[11])/3168 - 
       (10499425*s[12])/198 - (101109533*s[13])/3168 - 
       (17213231*s[14])/3168 - (16305775*s[15])/288 - (57801431*s[16])/792 - 
       (174317609*s[17])/3168 - (2518403*s[18])/324 - (8770855*s[19])/1296 - 
       (1233619207*s[20])/14256 - (877627457*s[21])/28512 + 
       (651849757*s[22])/28512 + (18989081*s[23])/396 + 
       (343920817*s[24])/7128 - (7864654429*s[25])/128304 + 
       (4272812497*s[26])/128304 + 14*s[30] - 9*s[31] + 22*s[32] - 
       (9*s[33])/8 + 21*s[34] - 32*s[35] - (121*s[36])/2 + (509*s[37])/12 + 
       (3135*s[38])/2 - 5840*s[39] + (13511*s[40])/2 - (21435*s[41])/4 + 
       (16433*s[42])/2 + (60771*s[43])/11 - (1023001*s[44])/176 + 
       (1655413*s[45])/264 - (12723823*s[46])/264 + (805235*s[47])/528 + 
       (1009307*s[48])/528 - (13184177*s[49])/528 + (408675*s[50])/11 + 
       (3132731*s[51])/528 + (2500105*s[52])/528 - (9896311*s[53])/396 + 
       (7750*s[54])/33 - (28287065*s[55])/176 - (67897949*s[56])/1584 + 
       (97618321*s[57])/2376 - (1062929929*s[58])/14256 + 
       (1062707071*s[59])/14256 + (141684537*s[60])/352 - 
       (2693292805*s[61])/128304 + 7*s[62] + s[64] + 3*s[65] + 4*s[66] - 
       8*s[67] + 7*s[68] - 6*s[69] + 73*s[70] - 10*s[71] - s[72] - 5*s[73] - 
       (73*s[74])/4 + (45*s[75])/4 - 53*s[76] - (159*s[77])/2 - 5*s[78] + 
       736*s[79] - (961*s[80])/6 - s[81]/3 + 1014*s[82] - 18*s[83] + 
       276*s[84] + 396*s[85]) + HPL[{0, 1}, 1 - u]*Qep[u, v, w]*
      ((304*s[2])/9 + (5336*s[3])/9 + (38908*s[4])/9 + (385612*s[5])/99 + 
       (899068*s[6])/99 + (72201334*s[7])/891 - (5587564*s[8])/891 - 
       (5529248*s[9])/81 - (1839004*s[10])/81 - (8731700*s[11])/99 - 
       (28334938*s[12])/297 - (50132798*s[13])/891 - (456670*s[14])/33 - 
       (8842966*s[15])/81 - (122821988*s[16])/891 - (97188328*s[17])/891 - 
       (1298516*s[18])/81 - (940988*s[19])/81 - (147597148*s[20])/891 - 
       (163268002*s[21])/2673 + (112949110*s[22])/2673 + 
       (78337942*s[23])/891 + (237990826*s[24])/2673 - 
       (2659738504*s[25])/24057 + (1507879876*s[26])/24057 - (64*s[30])/9 - 
       (128*s[31])/9 + (64*s[32])/9 - (608*s[33])/9 + (544*s[34])/9 - 
       (608*s[35])/9 - (3200*s[36])/27 + (568*s[37])/3 + (21904*s[38])/9 - 
       (84736*s[39])/9 + (287168*s[40])/27 - 8128*s[41] + (360604*s[42])/27 + 
       (2538208*s[43])/297 - (2619178*s[44])/297 + (1135364*s[45])/99 - 
       (24356260*s[46])/297 + (2682638*s[47])/891 + (1632974*s[48])/891 - 
       (34057238*s[49])/891 + (18565408*s[50])/297 + (8452474*s[51])/891 + 
       (6962266*s[52])/891 - (38938748*s[53])/891 + (705968*s[54])/297 - 
       (83575430*s[55])/297 - (67842074*s[56])/891 + (171705056*s[57])/2673 - 
       (1017544090*s[58])/8019 + (1017968170*s[59])/8019 + 
       (1797213127*s[60])/2673 - (2726377168*s[61])/72171 + (32*s[65])/9 + 
       (128*s[66])/9 - (256*s[67])/9 + (128*s[68])/9 - (640*s[69])/9 + 
       (128*s[70])/9 - (80*s[71])/9 + (64*s[72])/9 + (448*s[73])/9 - 
       (272*s[74])/9 + (272*s[75])/9 - (64*s[76])/3 + (544*s[77])/9 - 
       (256*s[78])/9 + (2368*s[79])/3 - (1712*s[80])/9 + 2048*s[82] - 
       (32*s[83])/3 + 448*s[84] + (1280*s[85])/3) + 
     HPL[{0, 1}, 1 - w]*Qep[u, v, w]*((112*s[2])/9 + 632*s[3] + 5132*s[4] + 
       (393028*s[5])/99 + (995948*s[6])/99 + (78232108*s[7])/891 - 
       (18949112*s[8])/2673 - (17891788*s[9])/243 - (5857808*s[10])/243 - 
       (85248736*s[11])/891 - (92316974*s[12])/891 - (18313814*s[13])/297 - 
       (11854234*s[14])/891 - (1067924*s[15])/9 - (4931462*s[16])/33 - 
       (105113792*s[17])/891 - (12058760*s[18])/729 - (9642748*s[19])/729 - 
       (1420003744*s[20])/8019 - (518670718*s[21])/8019 + 
       (366171590*s[22])/8019 + (28956820*s[23])/297 + 
       (774709556*s[24])/8019 - (8736257686*s[25])/72171 + 
       (4884719170*s[26])/72171 + (64*s[30])/9 - (128*s[31])/9 + 
       (320*s[32])/9 - (352*s[33])/9 + (416*s[34])/9 - (736*s[35])/9 - 
       (3584*s[36])/27 + (8632*s[37])/27 + (22928*s[38])/9 - 
       (94736*s[39])/9 + (319088*s[40])/27 - (82528*s[41])/9 + 
       (410020*s[42])/27 + (2814256*s[43])/297 - (2903128*s[44])/297 + 
       (3640492*s[45])/297 - (26832692*s[46])/297 + (3136160*s[47])/891 + 
       (1239056*s[48])/891 - (37840004*s[49])/891 + (20514592*s[50])/297 + 
       (9391468*s[51])/891 + (7644760*s[52])/891 - (43339840*s[53])/891 + 
       (766648*s[54])/297 - (92497624*s[55])/297 - (8284924*s[56])/99 + 
       (63763760*s[57])/891 - (372978692*s[58])/2673 + 
       (376261700*s[59])/2673 + (1973173360*s[60])/2673 - 
       (36707392*s[61])/891 + (32*s[65])/9 + (128*s[66])/9 - (256*s[67])/9 + 
       (128*s[68])/9 - (640*s[69])/9 + (128*s[70])/9 - (80*s[71])/9 + 
       (320*s[72])/9 + (64*s[73])/3 - (112*s[74])/3 + (112*s[75])/3 - 
       (448*s[76])/9 + (416*s[77])/9 + (512*s[78])/9 + (8128*s[79])/9 - 
       (5008*s[80])/27 + 2048*s[82] - (32*s[83])/3 + 448*s[84] + 
       (1280*s[85])/3) + HPL[{0, 1}, 1 - u]*Qep[w, v, u]*
      ((2032*s[2])/9 + (3320*s[3])/9 + (97876*s[4])/9 + (772180*s[5])/99 + 
       (1904620*s[6])/99 + (153361210*s[7])/891 - (12636292*s[8])/891 - 
       (11763224*s[9])/81 - (3556204*s[10])/81 - (18769064*s[11])/99 - 
       (61775266*s[12])/297 - (111410018*s[13])/891 - (660058*s[14])/33 - 
       (18444130*s[15])/81 - (257801108*s[16])/891 - (196909732*s[17])/891 - 
       (2622188*s[18])/81 - (1956812*s[19])/81 - (303060964*s[20])/891 - 
       (331250086*s[21])/2673 + (241822378*s[22])/2673 + 
       (187251982*s[23])/891 + (495158050*s[24])/2673 - 
       (5814579928*s[25])/24057 + (3193197916*s[26])/24057 + (32*s[30])/9 + 
       (832*s[31])/9 - (320*s[32])/9 + (376*s[33])/9 - (1280*s[34])/9 - 
       (800*s[35])/9 - (13376*s[36])/27 + (2104*s[37])/3 + (58192*s[38])/9 - 
       (232480*s[39])/9 + (771680*s[40])/27 - (67328*s[41])/3 + 
       (1013404*s[42])/27 + (6577024*s[43])/297 - (6967990*s[44])/297 + 
       (2341508*s[45])/99 - (57337348*s[46])/297 + (8305322*s[47])/891 + 
       (1493066*s[48])/891 - (89355242*s[49])/891 + (43817296*s[50])/297 + 
       (23119174*s[51])/891 + (18596038*s[52])/891 - (90953228*s[53])/891 + 
       (1513472*s[54])/297 - (190602506*s[55])/297 - (152204678*s[56])/891 + 
       (526902968*s[57])/2673 - (2458757590*s[58])/8019 + 
       (2486434174*s[59])/8019 + (4187592781*s[60])/2673 - 
       (5962572052*s[61])/72171 - (64*s[65])/9 - (256*s[66])/9 + 
       (512*s[67])/9 + (512*s[68])/9 + (512*s[69])/9 + (128*s[70])/9 - 
       (80*s[71])/9 + (832*s[72])/9 - (704*s[73])/9 - (1136*s[74])/9 + 
       (1136*s[75])/9 - (320*s[76])/3 - (32*s[77])/9 + (1088*s[78])/9 + 
       2112*s[79] - (4208*s[80])/9 + 768*s[82] + (64*s[83])/3 + 1024*s[84] + 
       (1280*s[85])/3) + HPL[{0, 1}, 1 - w]*Qep[w, v, u]*
      ((1840*s[2])/9 + (1352*s[3])/3 + 11300*s[4] + (760348*s[5])/99 + 
       (1940156*s[6])/99 + (155833024*s[7])/891 - (38738528*s[8])/2673 - 
       (35807764*s[9])/243 - (10822064*s[10])/243 - (171982852*s[11])/891 - 
       (188952494*s[12])/891 - (38001914*s[13])/297 - (17114230*s[14])/891 - 
       (692816*s[15])/3 - (29104058*s[16])/99 - (199249580*s[17])/891 - 
       (23682512*s[18])/729 - (18279148*s[19])/729 - (2762294344*s[20])/
        8019 - (1004017714*s[21])/8019 + (736989626*s[22])/8019 + 
       (63724732*s[23])/297 + (1510584764*s[24])/8019 - 
       (17806209646*s[25])/72171 + (9746047858*s[26])/72171 + (160*s[30])/9 + 
       (832*s[31])/9 - (64*s[32])/9 + (632*s[33])/9 - (1408*s[34])/9 - 
       (928*s[35])/9 - (13760*s[36])/27 + (15544*s[37])/27 + 
       (59984*s[38])/9 - (238928*s[39])/9 + (792944*s[40])/27 - 
       (207136*s[41])/9 + (1039060*s[42])/27 + (6810736*s[43])/297 - 
       (7201468*s[44])/297 + (7095916*s[45])/297 - (58458164*s[46])/297 + 
       (8367236*s[47])/891 + (1762484*s[48])/891 - (92642720*s[49])/891 + 
       (44642704*s[50])/297 + (23366896*s[51])/891 + (18875260*s[52])/891 - 
       (92437024*s[53])/891 + (1210408*s[54])/297 - (193854580*s[55])/297 - 
       (51368096*s[56])/297 + (180107464*s[57])/891 - (278518736*s[58])/891 + 
       (282402664*s[59])/891 + (4278634882*s[60])/2673 - 
       (2003347420*s[61])/24057 - (64*s[65])/9 - (256*s[66])/9 + 
       (512*s[67])/9 + (512*s[68])/9 + (512*s[69])/9 + (128*s[70])/9 - 
       (80*s[71])/9 + (1088*s[72])/9 - (320*s[73])/3 - (400*s[74])/3 + 
       (400*s[75])/3 - (1216*s[76])/9 - (160*s[77])/9 + (1856*s[78])/9 + 
       (20032*s[79])/9 - (12496*s[80])/27 + 768*s[82] + (64*s[83])/3 + 
       1024*s[84] + (1280*s[85])/3) + HPL[{0, 1}, 1 - u]*Qep[w, u, v]*
      ((1016*s[2])/9 + (2812*s[3])/9 + (46238*s[4])/9 + (452096*s[5])/99 + 
       (1026866*s[6])/99 + (84968759*s[7])/891 - (6438590*s[8])/891 - 
       (6562780*s[9])/81 - (2107760*s[10])/81 - (10341341*s[11])/99 - 
       (33742736*s[12])/297 - (60291463*s[13])/891 - (1458505*s[14])/99 - 
       (10293569*s[15])/81 - (143831680*s[16])/891 - (112011323*s[17])/891 - 
       (164168*s[18])/9 - (1113458*s[19])/81 - (57389818*s[20])/297 - 
       (189359837*s[21])/2673 + (134356925*s[22])/2673 + 
       (93373820*s[23])/891 + (278336252*s[24])/2673 - 
       (3164262062*s[25])/24057 + (1769824130*s[26])/24057 + (160*s[30])/9 + 
       (416*s[31])/9 - (160*s[32])/9 + (188*s[33])/9 - (640*s[34])/9 - 
       (400*s[35])/9 - (6112*s[36])/27 + (1024*s[37])/3 + (26864*s[38])/9 - 
       (108860*s[39])/9 + (368308*s[40])/27 - (31252*s[41])/3 + 
       (466292*s[42])/27 + (3062828*s[43])/297 - (3356996*s[44])/297 + 
       (1267096*s[45])/99 - (28779644*s[46])/297 + (3688684*s[47])/891 + 
       (1246024*s[48])/891 - (42525172*s[49])/891 + (22017224*s[50])/297 + 
       (10613192*s[51])/891 + (8737832*s[52])/891 - (45499024*s[53])/891 + 
       (583072*s[54])/297 - (96787216*s[55])/297 - (78123676*s[56])/891 + 
       (243787420*s[57])/2673 - (1228506740*s[58])/8019 + 
       (1228729904*s[59])/8019 + (2114064422*s[60])/2673 - 
       (3114643742*s[61])/72171 - (32*s[65])/9 - (128*s[66])/9 + 
       (256*s[67])/9 + (256*s[68])/9 + (256*s[69])/9 + (64*s[70])/9 + 
       (32*s[71])/9 + (416*s[72])/9 - (352*s[73])/9 - (568*s[74])/9 + 
       (568*s[75])/9 - (160*s[76])/3 - (16*s[77])/9 + (544*s[78])/9 + 
       1152*s[79] - (3136*s[80])/9 + 2048*s[82] + (32*s[83])/3 + 512*s[84] + 
       (1408*s[85])/3) + HPL[{0, 1}, 1 - w]*Qep[w, u, v]*
      ((920*s[2])/9 + (868*s[3])/3 + 5782*s[4] + (536612*s[5])/99 + 
       (1208002*s[6])/99 + (97326371*s[7])/891 - (22428706*s[8])/2673 - 
       (22535012*s[9])/243 - (7321300*s[10])/243 - (105824285*s[11])/891 - 
       (113964082*s[12])/891 - (22542895*s[13])/297 - (16405079*s[14])/891 - 
       (1331461*s[15])/9 - (2045818*s[16])/11 - (131700763*s[17])/891 - 
       (15169132*s[18])/729 - (11469602*s[19])/729 - (1781429174*s[20])/
        8019 - (657900845*s[21])/8019 + (459844849*s[22])/8019 + 
       (35284448*s[23])/297 + (956074336*s[24])/8019 - 
       (10753579640*s[25])/72171 + (6077387828*s[26])/72171 + (224*s[30])/9 + 
       (416*s[31])/9 - (32*s[32])/9 + (316*s[33])/9 - (704*s[34])/9 - 
       (464*s[35])/9 - (6304*s[36])/27 + (10976*s[37])/27 + (28624*s[38])/9 - 
       (122308*s[39])/9 + (409612*s[40])/27 - (106124*s[41])/9 + 
       (535712*s[42])/27 + (3529172*s[43])/297 - (3762230*s[44])/297 + 
       (4317800*s[45])/297 - (33247924*s[46])/297 + (4245250*s[47])/891 + 
       (1207798*s[48])/891 - (48361714*s[49])/891 + (25533416*s[50])/297 + 
       (12107978*s[51])/891 + (9548690*s[52])/891 - (53818796*s[53])/891 + 
       (854360*s[54])/297 - (113886890*s[55])/297 - (30357634*s[56])/297 + 
       (83341256*s[57])/891 - (17148026*s[58])/99 + (156331510*s[59])/891 + 
       (2440970603*s[60])/2673 - (1205351870*s[61])/24057 - (32*s[65])/9 - 
       (128*s[66])/9 + (256*s[67])/9 + (256*s[68])/9 + (256*s[69])/9 + 
       (64*s[70])/9 + (32*s[71])/9 + (544*s[72])/9 - (160*s[73])/3 - 
       (200*s[74])/3 + (200*s[75])/3 - (608*s[76])/9 - (80*s[77])/9 + 
       (928*s[78])/9 + (10880*s[79])/9 - (9344*s[80])/27 + 2432*s[82] + 
       (32*s[83])/3 + 512*s[84] + (1408*s[85])/3) + 
     HPL[{0, 1}, 1 - w]*Qep[u, w, v]*((2648*s[2])/9 + 300*s[3] + 11974*s[4] + 
       (850904*s[5])/99 + (2140186*s[6])/99 + (171058205*s[7])/891 - 
       (41383246*s[8])/2673 - (39455696*s[9])/243 - (11891212*s[10])/243 - 
       (188921915*s[11])/891 - (207461464*s[12])/891 - (41873899*s[13])/297 - 
       (19560407*s[14])/891 - (756817*s[15])/3 - (31883776*s[16])/99 - 
       (218049157*s[17])/891 - (26151436*s[18])/729 - (19640234*s[19])/729 - 
       (3035019842*s[20])/8019 - (1109029589*s[21])/8019 + 
       (811566505*s[22])/8019 + (69055856*s[23])/297 + 
       (1650453208*s[24])/8019 - (19514382878*s[25])/72171 + 
       (10721567918*s[26])/72171 + (32*s[30])/9 + (1376*s[31])/9 - 
       (416*s[32])/9 + (1300*s[33])/9 - (2528*s[34])/9 - (656*s[35])/9 - 
       (17632*s[36])/27 + (14072*s[37])/27 + (65824*s[38])/9 - 
       (262252*s[39])/9 + (871876*s[40])/27 - (227348*s[41])/9 + 
       (1136708*s[42])/27 + (7429244*s[43])/297 - (7939106*s[44])/297 + 
       (7912292*s[45])/297 - (64422496*s[46])/297 + (9088462*s[47])/891 + 
       (2125066*s[48])/891 - (101792146*s[49])/891 + (49232696*s[50])/297 + 
       (25518386*s[51])/891 + (20824262*s[52])/891 - (101509604*s[53])/891 + 
       (1066352*s[54])/297 - (213371198*s[55])/297 - (18856262*s[56])/99 + 
       (200183608*s[57])/891 - (924007846*s[58])/2673 + 
       (934486018*s[59])/2673 + (4714070069*s[60])/2673 - 
       (246534922*s[61])/2673 - (128*s[65])/9 - (512*s[66])/9 + 
       (1024*s[67])/9 + (640*s[68])/9 + (1408*s[69])/9 + (64*s[70])/9 - 
       (112*s[71])/9 + (1312*s[72])/9 - (544*s[73])/3 - (488*s[74])/3 + 
       (488*s[75])/3 - (1376*s[76])/9 - (656*s[77])/9 + (2272*s[78])/9 + 
       (21056*s[79])/9 - (10640*s[80])/27 + 768*s[82] + (128*s[83])/3 + 
       1088*s[84] + (1408*s[85])/3) + HPL[{0, 1}, 1 - u]*Qep[u, w, v]*
      ((2744*s[2])/9 + (1948*s[3])/9 + (106286*s[4])/9 + (937628*s[5])/99 + 
       (2210762*s[6])/99 + (177994343*s[7])/891 - (14263646*s[8])/891 - 
       (13728916*s[9])/81 - (4188908*s[10])/81 - (7241189*s[11])/33 - 
       (71130074*s[12])/297 - (128082991*s[13])/891 - (2582537*s[14])/99 - 
       (21479885*s[15])/81 - (299555188*s[16])/891 - (230923733*s[17])/891 - 
       (3079868*s[18])/81 - (740558*s[19])/27 - (354286654*s[20])/891 - 
       (390613277*s[21])/2673 + (281378897*s[22])/2673 + 
       (211988186*s[23])/891 + (573237422*s[24])/2673 - 
       (6691419530*s[25])/24057 + (3712999490*s[26])/24057 - (32*s[30])/9 + 
       (1376*s[31])/9 - (544*s[32])/9 + (1172*s[33])/9 - (2464*s[34])/9 - 
       (592*s[35])/9 - (17440*s[36])/27 + 776*s[37] + (66176*s[38])/9 - 
       (266324*s[39])/9 + (883132*s[40])/27 - 25700*s[41] + 
       (1162544*s[42])/27 + (7583684*s[43])/297 - (8048798*s[44])/297 + 
       (2745964*s[45])/99 - (66635960*s[46])/297 + (9300586*s[47])/891 + 
       (2005342*s[48])/891 - (103301170*s[49])/891 + (51095480*s[50])/297 + 
       (26546930*s[51])/891 + (21155450*s[52])/891 - (106285804*s[53])/891 + 
       (1530112*s[54])/297 - (222819142*s[55])/297 - (176694526*s[56])/891 + 
       (587561452*s[57])/2673 - (2838342494*s[58])/8019 + 
       (2876714930*s[59])/8019 + (4877843393*s[60])/2673 - 
       (6954475970*s[61])/72171 - (128*s[65])/9 - (512*s[66])/9 + 
       (1024*s[67])/9 + (640*s[68])/9 + (1408*s[69])/9 + (64*s[70])/9 - 
       (112*s[71])/9 + (1184*s[72])/9 - (1504*s[73])/9 - (1432*s[74])/9 + 
       (1432*s[75])/9 - (416*s[76])/3 - (592*s[77])/9 + (1888*s[78])/9 + 
       (6848*s[79])/3 - (3568*s[80])/9 + 1152*s[82] + (128*s[83])/3 + 
       1088*s[84] + (1408*s[85])/3) + HPL[{0, 1}, 1 - v]*Qep[w, u, v]*
      ((472*s[2])/3 - (460*s[3])/9 + (16846*s[4])/3 + (49384*s[5])/9 + 
       (108290*s[6])/9 + (2992379*s[7])/27 - (2028934*s[8])/243 - 
       (22969576*s[9])/243 - (7494524*s[10])/243 - (9774221*s[11])/81 - 
       (10529320*s[12])/81 - (6240311*s[13])/81 - (1538093*s[14])/81 - 
       (12121673*s[15])/81 - (15261302*s[16])/81 - (12091607*s[17])/81 - 
       (15118100*s[18])/729 - (11797630*s[19])/729 - (164767874*s[20])/729 - 
       (60591203*s[21])/729 + (42685351*s[22])/729 + (9474946*s[23])/81 + 
       (88787650*s[24])/729 - (991457624*s[25])/6561 + 
       (558557732*s[26])/6561 - (32*s[30])/9 + (608*s[31])/9 - 
       (160*s[32])/3 + (404*s[33])/9 - (320*s[34])/3 - (496*s[35])/9 - 
       (6304*s[36])/27 + (1024*s[37])/3 + (28880*s[38])/9 - 
       (123220*s[39])/9 + (414844*s[40])/27 - 12052*s[41] + 
       (536276*s[42])/27 + (3550244*s[43])/297 - (3854342*s[44])/297 + 
       (163112*s[45])/11 - (33743156*s[46])/297 + (4123498*s[47])/891 + 
       (1485214*s[48])/891 - (49214950*s[49])/891 + (26060264*s[50])/297 + 
       (12282686*s[51])/891 + (9687218*s[52])/891 - (54385468*s[53])/891 + 
       (620920*s[54])/297 - (38447570*s[55])/99 - (91590490*s[56])/891 + 
       (251014372*s[57])/2673 - (1405567586*s[58])/8019 + 
       (1418403638*s[59])/8019 + (2487120365*s[60])/2673 - 
       (3655441730*s[61])/72171 - (32*s[65])/9 - (128*s[66])/9 + 
       (128*s[67])/9 + (128*s[68])/9 + (128*s[69])/9 - (64*s[70])/9 + 
       (32*s[71])/9 + (608*s[72])/9 - (160*s[73])/9 - 72*s[74] + 72*s[75] - 
       (800*s[76])/9 - (112*s[77])/9 + (992*s[78])/9 + (3968*s[79])/3 - 
       (3136*s[80])/9 + 2752*s[82] + (32*s[83])/3 + (1664*s[84])/3 + 
       (1664*s[85])/3) + HPL[{0, 1}, 1 - v]*Qep[u, w, v]*
      (200*s[2] + (1508*s[3])/9 + (26950*s[4])/3 + (643208*s[5])/99 + 
       (1618894*s[6])/99 + (43769383*s[7])/297 - (32723918*s[8])/2673 - 
       (30332236*s[9])/243 - (9141656*s[10])/243 - (143915269*s[11])/891 - 
       (157888220*s[12])/891 - (94628827*s[13])/891 - (16551457*s[14])/891 - 
       (15744359*s[15])/81 - (219713218*s[16])/891 - (167172751*s[17])/891 - 
       (21085880*s[18])/729 - (13487014*s[19])/729 - (2352627490*s[20])/
        8019 - (860240539*s[21])/8019 + (622326827*s[22])/8019 + 
       (160489622*s[23])/891 + (1255503110*s[24])/8019 - 
       (14816833972*s[25])/72171 + (8219989132*s[26])/72171 + (352*s[30])/9 + 
       (800*s[31])/9 - (64*s[32])/3 + (908*s[33])/9 - (416*s[34])/3 - 
       (304*s[35])/9 - (9280*s[36])/27 + (3896*s[37])/9 + (47936*s[38])/9 - 
       (192892*s[39])/9 + (648724*s[40])/27 - 18964*s[41] + 
       (838580*s[42])/27 + (5755148*s[43])/297 - (5893664*s[44])/297 + 
       (2220068*s[45])/99 - (51601640*s[46])/297 + (6015232*s[47])/891 + 
       (2734636*s[48])/891 - (76195480*s[49])/891 + (39399608*s[50])/297 + 
       (18909452*s[51])/891 + (15587252*s[52])/891 - (82627504*s[53])/891 + 
       (1774216*s[54])/297 - (19496672*s[55])/33 - (141604528*s[56])/891 + 
       (406901944*s[57])/2673 - (2172602996*s[58])/8019 + 
       (2200738544*s[59])/8019 + (3785133614*s[60])/2673 - 
       (5526013490*s[61])/72171 + (64*s[65])/9 + (256*s[66])/9 - 
       (640*s[67])/9 - (256*s[68])/9 - (1024*s[69])/9 - (448*s[70])/9 - 
       (304*s[71])/9 + (608*s[72])/9 + (992*s[73])/9 - (248*s[74])/3 + 
       (248*s[75])/3 - (1568*s[76])/9 + (464*s[77])/9 + (800*s[78])/9 + 
       (6080*s[79])/3 - 272*s[80] + 832*s[82] - (64*s[83])/3 + 
       (3008*s[84])/3 + (1664*s[85])/3) + HPL[{0, 1}, 1 - v]*Qep[u, v, w]*
      (272*s[2] + (280*s[3])/9 + (22820*s[4])/3 + (804088*s[5])/99 + 
       (1727444*s[6])/99 + (45998036*s[7])/297 - (29974552*s[8])/2673 - 
       (32120972*s[9])/243 - (10501876*s[10])/243 - (150506252*s[11])/891 - 
       (161558992*s[12])/891 - (96155876*s[13])/891 - (24619604*s[14])/891 - 
       (16956940*s[15])/81 - (235057172*s[16])/891 - (187671260*s[17])/891 - 
       (21529036*s[18])/729 - (16288436*s[19])/729 - (2534552864*s[20])/
        8019 - (952022288*s[21])/8019 + (655442284*s[22])/8019 + 
       (145524712*s[23])/891 + (1358936488*s[24])/8019 - 
       (15170748836*s[25])/72171 + (8679293024*s[26])/72171 + (128*s[30])/9 + 
       (1024*s[31])/9 - (224*s[32])/3 + (304*s[33])/9 - (544*s[34])/3 - 
       (1184*s[35])/9 - (13664*s[36])/27 + (4504*s[37])/9 + (43312*s[38])/9 - 
       (181520*s[39])/9 + (603728*s[40])/27 - 17448*s[41] + 
       (789976*s[42])/27 + (5008624*s[43])/297 - (5568670*s[44])/297 + 
       (1944748*s[45])/99 - (46349596*s[46])/297 + (6509090*s[47])/891 + 
       (1100258*s[48])/891 - (70802054*s[49])/891 + (35712544*s[50])/297 + 
       (17888242*s[51])/891 + (14155198*s[52])/891 - (74122988*s[53])/891 + 
       (384464*s[54])/297 - (17327470*s[55])/33 - (123319682*s[56])/891 + 
       (400039292*s[57])/2673 - (1971350782*s[58])/8019 + 
       (1993816366*s[59])/8019 + (3395881207*s[60])/2673 - 
       (4921353916*s[61])/72171 - (160*s[65])/9 - (640*s[66])/9 + 
       (1024*s[67])/9 + (640*s[68])/9 + (1408*s[69])/9 + (256*s[70])/9 + 
       (112*s[71])/9 + (1216*s[72])/9 - (1472*s[73])/9 - (400*s[74])/3 + 
       (400*s[75])/3 - (832*s[76])/9 - (800*s[77])/9 + (2176*s[78])/9 + 
       (4672*s[79])/3 - (1136*s[80])/3 + 2944*s[82] + (160*s[83])/3 + 
       (1984*s[84])/3 + (1792*s[85])/3) + HPL[{0, 1}, 1 - v]*Qep[w, v, u]*
      ((944*s[2])/3 - (200*s[3])/9 + (31916*s[4])/3 + (877936*s[5])/99 + 
       (2054564*s[6])/99 + (55114460*s[7])/297 - (39305848*s[8])/2673 - 
       (38345276*s[9])/243 - (11740588*s[10])/243 - (181334360*s[11])/891 - 
       (197869624*s[12])/891 - (118470560*s[13])/891 - (23208776*s[14])/891 - 
       (19937692*s[15])/81 - (278080712*s[16])/891 - (214345400*s[17])/891 - 
       (26507356*s[18])/729 - (17462084*s[19])/729 - (2982310112*s[20])/
        8019 - (1104856556*s[21])/8019 + (785340064*s[22])/8019 + 
       (195874084*s[23])/891 + (1590998740*s[24])/8019 - 
       (18525131720*s[25])/72171 + (10386335276*s[26])/72171 + 
       (224*s[30])/9 + (1216*s[31])/9 - (32*s[32])/3 + (808*s[33])/9 - 
       (640*s[34])/3 - (992*s[35])/9 - (14624*s[36])/27 + (2056*s[37])/3 + 
       (60784*s[38])/9 - (246800*s[39])/9 + (822416*s[40])/27 - 23880*s[41] + 
       (1075720*s[42])/27 + (6985072*s[43])/297 - (7447630*s[44])/297 + 
       (838628*s[45])/33 - (61487452*s[46])/297 + (8528570*s[47])/891 + 
       (1795514*s[48])/891 - (94861598*s[49])/891 + (46996720*s[50])/297 + 
       (24297946*s[51])/891 + (19641070*s[52])/891 - (97747700*s[53])/891 + 
       (1682480*s[54])/297 - (68449066*s[55])/99 - (164766314*s[56])/891 + 
       (557280500*s[57])/2673 - (2633476918*s[58])/8019 + 
       (2664719230*s[59])/8019 + (4488414619*s[60])/2673 - 
       (6426809680*s[61])/72171 - (64*s[65])/9 - (256*s[66])/9 + 
       (256*s[67])/9 + (256*s[68])/9 + (256*s[69])/9 - (128*s[70])/9 - 
       (80*s[71])/9 + (1216*s[72])/9 - (320*s[73])/9 - 144*s[74] + 
       144*s[75] - (1600*s[76])/9 - (224*s[77])/9 + (1984*s[78])/9 + 
       (7360*s[79])/3 - (4496*s[80])/9 + 1024*s[82] + (64*s[83])/3 + 
       (3328*s[84])/3 + (1792*s[85])/3) + HPL[{0, 1}, 1 - u]*Qep[v, w, u]*
      ((-56*s[2])/3 + (1604*s[3])/3 + (13426*s[4])/3 + (30940*s[5])/11 + 
       (258118*s[6])/33 + (20933057*s[7])/297 - (5390390*s[8])/891 - 
       (4766500*s[9])/81 - (1519244*s[10])/81 - (22918345*s[11])/297 - 
       (25201394*s[12])/297 - (14987153*s[13])/297 - (2676007*s[14])/297 - 
       (2518747*s[15])/27 - (35272604*s[16])/297 - (9009065*s[17])/99 - 
       (3246284*s[18])/243 - (2513326*s[19])/243 - (376074826*s[20])/2673 - 
       (133733881*s[21])/2673 + (98090285*s[22])/2673 + 
       (24463246*s[23])/297 + (205985654*s[24])/2673 - 
       (2374052866*s[25])/24057 + (1294847674*s[26])/24057 + (32*s[30])/3 - 
       32*s[31] + 32*s[32] - (164*s[33])/3 + (352*s[34])/3 + (16*s[35])/3 + 
       (64*s[36])/9 + (1624*s[37])/9 + 2112*s[38] - (25700*s[39])/3 + 
       (89420*s[40])/9 - (23044*s[41])/3 + (109816*s[42])/9 + 
       (781972*s[43])/99 - (816730*s[44])/99 + (1066708*s[45])/99 - 
       (7651544*s[46])/99 + (776054*s[47])/297 + (617786*s[48])/297 - 
       (10464686*s[49])/297 + (5848840*s[50])/99 + (2569462*s[51])/297 + 
       (2103910*s[52])/297 - (12264388*s[53])/297 + (286768*s[54])/99 - 
       (26468098*s[55])/99 - (2407666*s[56])/33 + (16878932*s[57])/297 - 
       (105644918*s[58])/891 + (105468146*s[59])/891 + 
       (566572315*s[60])/891 - (95636818*s[61])/2673 + (32*s[65])/3 + 
       (128*s[66])/3 - 64*s[67] - 128*s[69] - (16*s[71])/3 - (32*s[72])/3 + 
       (352*s[73])/3 - (40*s[74])/3 + (40*s[75])/3 - 32*s[76] + 48*s[77] - 
       96*s[78] + (3392*s[79])/3 - (3664*s[80])/9 + 2688*s[82] - 32*s[83] + 
       512*s[84] + 640*s[85]) + HPL[{0, 1}, 1 - w]*Qep[v, w, u]*
      ((616*s[2])/3 + 60*s[3] + 7502*s[4] + (223424*s[5])/33 + 
       (515030*s[6])/33 + (41117651*s[7])/297 - (9623506*s[8])/891 - 
       (9523568*s[9])/81 - (3009868*s[10])/81 - (44997605*s[11])/297 - 
       (48826852*s[12])/297 - (9718673*s[13])/99 - (6382085*s[14])/297 - 
       (554141*s[15])/3 - (23187364*s[16])/99 - (54461419*s[17])/297 - 
       (6440212*s[18])/243 - (4677086*s[19])/243 - (745692902*s[20])/2673 - 
       (275723567*s[21])/2673 + (194934547*s[22])/2673 + 
       (15428080*s[23])/99 + (400812784*s[24])/2673 - 
       (4582520390*s[25])/24057 + (2572780214*s[26])/24057 + (32*s[30])/3 + 
       96*s[31] + (32*s[32])/3 + (172*s[33])/3 - (416*s[34])/3 - 
       (176*s[35])/3 - (3200*s[36])/9 + (4408*s[37])/9 + 4448*s[38] - 
       18932*s[39] + (189812*s[40])/9 - 16444*s[41] + (249004*s[42])/9 + 
       (1568044*s[43])/99 - (1723906*s[44])/99 + (1770580*s[45])/99 - 
       (14344832*s[46])/99 + (2099894*s[47])/297 + (261794*s[48])/297 - 
       (21799298*s[49])/297 + (11003464*s[50])/99 + (5677186*s[51])/297 + 
       (4479862*s[52])/297 - (22875220*s[53])/297 + (320752*s[54])/99 - 
       (48033094*s[55])/99 - (12829858*s[56])/99 + (14374952*s[57])/99 - 
       (204784006*s[58])/891 + (206453314*s[59])/891 + 
       (1047253717*s[60])/891 - (507049754*s[61])/8019 - (32*s[65])/3 - 
       (128*s[66])/3 + 64*s[67] + (128*s[68])/3 + (256*s[69])/3 + 16*s[71] + 
       (352*s[72])/3 - 96*s[73] - (328*s[74])/3 + (328*s[75])/3 - 
       (224*s[76])/3 - 16*s[77] + (608*s[78])/3 + 1728*s[79] - 
       (5008*s[80])/9 + 2944*s[82] + 32*s[83] + 640*s[84] + 640*s[85]) + 
     HPL[{0, 1}, 1 - w]*Qep[v, u, w]*((568*s[2])/3 + 548*s[3] + 11370*s[4] + 
       (83516*s[5])/11 + (661250*s[6])/33 + (1958625*s[7])/11 - 
       (1463810*s[8])/99 - (1348036*s[9])/9 - (412724*s[10])/9 - 
       (6483557*s[11])/33 - (2375474*s[12])/11 - (4301953*s[13])/33 - 
       (655379*s[14])/33 - (2109431*s[15])/9 - (9869782*s[16])/33 - 
       (2500897*s[17])/11 - (890084*s[18])/27 - (698242*s[19])/27 - 
       (104200342*s[20])/297 - (37698577*s[21])/297 + (27753221*s[22])/297 + 
       (7076120*s[23])/33 + (57230408*s[24])/297 - (671765980*s[25])/2673 + 
       (366836440*s[26])/2673 + (224*s[31])/3 - (64*s[32])/3 + 44*s[33] - 
       96*s[34] - 112*s[35] - (4160*s[36])/9 + (4432*s[37])/9 + 
       (20080*s[38])/3 - (78748*s[39])/3 + (263156*s[40])/9 - 
       (68900*s[41])/3 + (339328*s[42])/9 + (2319820*s[43])/99 - 
       (2419894*s[44])/99 + (2574208*s[45])/99 - (20329604*s[46])/99 + 
       (2521010*s[47])/297 + (1135934*s[48])/297 - (31413626*s[49])/297 + 
       (15576280*s[50])/99 + (7701418*s[51])/297 + (6232282*s[52])/297 - 
       (32248708*s[53])/297 + (365944*s[54])/99 - (68162770*s[55])/99 - 
       (6008062*s[56])/33 + (55987280*s[57])/297 - (286079870*s[58])/891 + 
       (289527794*s[59])/891 + (1498544203*s[60])/891 - 
       (236648746*s[61])/2673 + (64*s[67])/3 + (128*s[68])/3 + (64*s[70])/3 - 
       (64*s[71])/3 + 96*s[72] - 32*s[73] - (344*s[74])/3 + (344*s[75])/3 - 
       160*s[76] - (80*s[77])/3 + (416*s[78])/3 + (6656*s[79])/3 - 
       (3424*s[80])/9 + 1408*s[82] + 1088*s[84] + 640*s[85]) + 
     HPL[{0, 1}, 1 - u]*Qep[v, u, w]*((1336*s[2])/3 + (140*s[3])/3 + 
       (40798*s[4])/3 + (384368*s[5])/33 + (891658*s[6])/33 + 
       (23693045*s[7])/99 - (16606858*s[8])/891 - (16463324*s[9])/81 - 
       (5089048*s[10])/81 - (78160673*s[11])/297 - (85143580*s[12])/297 - 
       (51210383*s[13])/297 - (9894545*s[14])/297 - (8566369*s[15])/27 - 
       (119766824*s[16])/297 - (92692679*s[17])/297 - (11036968*s[18])/243 - 
       (8096954*s[19])/243 - (1277352974*s[20])/2673 - 
       (472736183*s[21])/2673 + (337403791*s[22])/2673 + 
       (82383976*s[23])/297 + (690914176*s[24])/2673 - 
       (7993428866*s[25])/24057 + (4461044750*s[26])/24057 - (64*s[30])/3 + 
       (608*s[31])/3 - (256*s[32])/3 + (340*s[33])/3 - (992*s[34])/3 - 
       (464*s[35])/3 - (7232*s[36])/9 + (8336*s[37])/9 + (26384*s[38])/3 - 
       35324*s[39] + (350972*s[40])/9 - (91796*s[41])/3 + (460468*s[42])/9 + 
       (2999044*s[43])/99 - (3213256*s[44])/99 + (3209552*s[45])/99 - 
       (2911772*s[46])/11 + (3701240*s[47])/297 + (829580*s[48])/297 - 
       (41258768*s[49])/297 + (20076856*s[50])/99 + (10438708*s[51])/297 + 
       (8342164*s[52])/297 - (1539376*s[53])/11 + (144400*s[54])/33 - 
       (9674452*s[55])/11 - (68936368*s[56])/297 + (237710452*s[57])/891 - 
       (1120381904*s[58])/2673 + (1134604172*s[59])/2673 + 
       (1919255284*s[60])/891 - (2716994870*s[61])/24057 - (64*s[65])/3 - 
       (256*s[66])/3 + (448*s[67])/3 + (256*s[68])/3 + (640*s[69])/3 + 
       (64*s[70])/3 + (544*s[72])/3 - (608*s[73])/3 - 200*s[74] + 200*s[75] - 
       160*s[76] - (208*s[77])/3 + (928*s[78])/3 + (7936*s[79])/3 - 
       (4832*s[80])/9 + 1664*s[82] + 64*s[83] + 1216*s[84] + 640*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[w, u, v]*((896*s[2])/9 + 
       (440*s[3])/3 + (45188*s[4])/9 + (489064*s[5])/99 + (1086212*s[6])/99 + 
       (29936164*s[7])/297 - (2244512*s[8])/297 - (2316892*s[9])/27 - 
       (771740*s[10])/27 - (10840732*s[11])/99 - (11655448*s[12])/99 - 
       (20617736*s[13])/297 - (1800080*s[14])/99 - (3690028*s[15])/27 - 
       (51081128*s[16])/297 - (40705300*s[17])/297 - (1548868*s[18])/81 - 
       (1200620*s[19])/81 - (184326224*s[20])/891 - (22595120*s[21])/297 + 
       (47312852*s[22])/891 + (31153492*s[23])/297 + (99102404*s[24])/891 - 
       (365550116*s[25])/2673 + (206976488*s[26])/2673 + (32*s[30])/9 + 
       (320*s[31])/9 - (256*s[32])/9 + (64*s[33])/3 - (128*s[34])/3 - 
       (128*s[35])/9 - (1408*s[36])/9 + (2240*s[37])/9 + 2784*s[38] - 
       (106024*s[39])/9 + (120296*s[40])/9 - (94304*s[41])/9 + 
       (153328*s[42])/9 + (1065208*s[43])/99 - (1130740*s[44])/99 + 
       (460168*s[45])/33 - (10246112*s[46])/99 + (1056892*s[47])/297 + 
       (783124*s[48])/297 - (14646712*s[49])/297 + (7925920*s[50])/99 + 
       (3483440*s[51])/297 + (2747708*s[52])/297 - (16603720*s[53])/297 + 
       (173816*s[54])/99 - (35438548*s[55])/99 - (28213456*s[56])/297 + 
       (66864592*s[57])/891 - (420215984*s[58])/2673 + 
       (424716704*s[59])/2673 + (760548044*s[60])/891 - 
       (1131622172*s[61])/24057 + (128*s[72])/3 - (448*s[74])/9 + 
       (448*s[75])/9 - (512*s[76])/9 - (128*s[77])/9 + (128*s[78])/3 + 
       (3584*s[79])/3 - (3200*s[80])/9 + (9856*s[82])/3 + 512*s[84] + 
       (2048*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[u, w, v]*
      ((1952*s[2])/9 + 256*s[3] + (88784*s[4])/9 + (60272*s[5])/9 + 
       (154528*s[6])/9 + (4235936*s[7])/27 - (1047056*s[8])/81 - 
       (10754960*s[9])/81 - (3254944*s[10])/81 - (4664320*s[11])/27 - 
       (5126864*s[12])/27 - (3091892*s[13])/27 - (466540*s[14])/27 - 
       (5576408*s[15])/27 - (7096508*s[16])/27 - (1795264*s[17])/9 - 
       (7082056*s[18])/243 - (5372624*s[19])/243 - (75215632*s[20])/243 - 
       (27168784*s[21])/243 + (20103200*s[22])/243 + (5117284*s[23])/27 + 
       (40998620*s[24])/243 - (483064924*s[25])/2187 + 
       (263561548*s[26])/2187 + (128*s[30])/9 + (896*s[31])/9 - 
       (304*s[32])/9 + 104*s[33] - 160*s[34] - (128*s[35])/9 - 
       (1264*s[36])/3 + 416*s[37] + (17296*s[38])/3 - (208108*s[39])/9 + 
       (233596*s[40])/9 - (183932*s[41])/9 + (300428*s[42])/9 + 
       (2034452*s[43])/99 - (2123408*s[44])/99 + (2314936*s[45])/99 - 
       (18078868*s[46])/99 + (739120*s[47])/99 + (297316*s[48])/99 - 
       (1018236*s[49])/11 + (13896656*s[50])/99 + (2261984*s[51])/99 + 
       (617324*s[52])/33 - (28854476*s[53])/297 + (110744*s[54])/33 - 
       (60919676*s[55])/99 - (48256420*s[56])/297 + (149610940*s[57])/891 - 
       (764052368*s[58])/2673 + (773798288*s[59])/2673 + 
       (147786878*s[60])/99 - (1906886276*s[61])/24057 - (64*s[70])/3 - 
       (80*s[71])/3 + (256*s[72])/3 - (928*s[74])/9 + (928*s[75])/9 - 
       (1280*s[76])/9 - (128*s[77])/9 + (320*s[78])/3 + 2112*s[79] - 
       (1024*s[80])/3 + (3328*s[82])/3 + 1024*s[84] + (2048*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      ((-109*s[2])/4 + (2089*s[3])/8 + (5573*s[4])/16 + (16887*s[5])/11 + 
       (489911*s[6])/176 + (24707785*s[7])/1056 - (4971629*s[8])/4752 - 
       (2139685*s[9])/108 - (1962895*s[10])/216 - (77281733*s[11])/3168 - 
       (9490781*s[12])/396 - (41828903*s[13])/3168 - (30084677*s[14])/3168 - 
       (10191013*s[15])/288 - (33912383*s[16])/792 - (125434235*s[17])/3168 - 
       (1406963*s[18])/324 - (6261865*s[19])/1296 - (765444061*s[20])/14256 - 
       (594302747*s[21])/28512 + (343129879*s[22])/28512 + 
       (1894573*s[23])/198 + (210859213*s[24])/7128 - 
       (3597669967*s[25])/128304 + (2328252691*s[26])/128304 - 24*s[30] - 
       41*s[31] + (25*s[32])/2 - (533*s[33])/8 + 108*s[34] + (105*s[35])/2 + 
       (197*s[36])/2 - (2251*s[37])/12 + (405*s[38])/2 - (2265*s[39])/4 + 
       (11413*s[40])/12 - 918*s[41] + (3833*s[42])/12 + (288437*s[43])/132 - 
       (966527*s[44])/528 + (1314427*s[45])/264 - (6922055*s[46])/264 - 
       (2266559*s[47])/1584 + (6394621*s[48])/1584 - (16071655*s[49])/1584 + 
       (1431931*s[50])/66 + (268793*s[51])/1584 - (575605*s[52])/1584 - 
       (1573898*s[53])/99 - (189317*s[54])/66 - (57709843*s[55])/528 - 
       (4597905*s[56])/176 - (21880759*s[57])/792 - (131796607*s[58])/4752 + 
       (144214297*s[59])/4752 + (2297070139*s[60])/9504 - 
       (203142545*s[61])/14256 + 4*s[64] + 6*s[65] + 8*s[66] - 12*s[67] - 
       49*s[68] + 20*s[69] + 32*s[70] - 6*s[71] - 7*s[72] + 35*s[73] + 
       (123*s[74])/4 - (93*s[75])/4 + 75*s[76] - (71*s[77])/2 - 97*s[78] - 
       48*s[79] - (451*s[80])/6 + 3474*s[82] - 15*s[83] - 18*s[84] + 
       732*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 
       1 - u]*(-103*s[2] + 237*s[3] - (6345*s[4])/8 + (27033*s[5])/88 + 
       (18325*s[6])/44 + (401771*s[7])/198 + (188545*s[8])/297 - 
       (189055*s[9])/108 - (744451*s[10])/216 - (642419*s[11])/792 + 
       (666163*s[12])/396 + (496381*s[13])/264 - (2589505*s[14])/396 - 
       (82405*s[15])/12 - (827477*s[16])/132 - (8813851*s[17])/792 + 
       (12001*s[18])/324 - (161773*s[19])/81 - (9518536*s[20])/891 - 
       (33357617*s[21])/7128 + (2752997*s[22])/3564 - (4347635*s[23])/264 + 
       (47987683*s[24])/7128 + (97065007*s[25])/64152 + 
       (99735743*s[26])/64152 - (21*s[30])/2 - 77*s[31] + (49*s[32])/2 - 
       (641*s[33])/8 + (341*s[34])/2 + 53*s[35] + (439*s[36])/3 - 
       (567*s[37])/2 - 148*s[38] + (3287*s[39])/4 - (6337*s[40])/12 + 
       (707*s[41])/4 - (19691*s[42])/12 + (144121*s[43])/132 - 
       (40037*s[44])/66 + (37605*s[45])/11 - (1986559*s[46])/132 - 
       (797413*s[47])/396 + (397922*s[48])/99 - (1980371*s[49])/396 + 
       (442282*s[50])/33 - (237151*s[51])/198 - (544397*s[52])/396 - 
       (3940925*s[53])/396 - (88279*s[54])/33 - (789281*s[55])/11 - 
       (6151193*s[56])/396 - (47890351*s[57])/1188 - (33497551*s[58])/3564 + 
       (10743784*s[59])/891 + (366141605*s[60])/2376 - 
       (570263069*s[61])/64152 + 4*s[64] + 6*s[65] + 8*s[66] - 12*s[67] - 
       49*s[68] + 20*s[69] + 32*s[70] - 10*s[71] + 2*s[72] + 38*s[73] + 
       (69*s[74])/2 - (57*s[75])/2 + 92*s[76] - 40*s[77] - 112*s[78] - 
       20*s[79] - 69*s[80] + 3474*s[82] - 15*s[83] - 18*s[84] + 732*s[85]) + 
     HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - v]*(-10*s[2] - 1492*s[3] - 
       (19187*s[4])/2 - (32451*s[5])/11 - (287983*s[6])/22 - 
       (12023357*s[7])/132 + (2199239*s[8])/198 + (672284*s[9])/9 + 
       (92590*s[10])/9 + (13632611*s[11])/132 + (4046368*s[12])/33 + 
       (3474147*s[13])/44 - (370393*s[14])/132 + (1255819*s[15])/12 + 
       (1493612*s[16])/11 + (10782517*s[17])/132 + (600256*s[18])/27 + 
       (21523*s[19])/54 + (94733971*s[20])/594 + (69570725*s[21])/1188 - 
       (54965065*s[22])/1188 - (2076180*s[23])/11 - (22874479*s[24])/297 + 
       (741962983*s[25])/5346 - (396071419*s[26])/5346 + 12*s[30] - 
       32*s[31] - 56*s[32] - 64*s[33] + 108*s[34] - 12*s[35] - 44*s[36] - 
       660*s[37] - 8502*s[38] + 24346*s[39] - 26414*s[40] + 20454*s[41] - 
       34284*s[42] - (230238*s[43])/11 + (406579*s[44])/22 - 
       (210429*s[45])/11 + (1663781*s[46])/11 - (227093*s[47])/22 + 
       (79367*s[48])/22 + (1687779*s[49])/22 - (1191316*s[50])/11 - 
       (1664287*s[51])/66 - (512839*s[52])/22 + (824504*s[53])/11 - 
       (227256*s[54])/11 + (10769725*s[55])/22 + (3128221*s[56])/22 - 
       (2598441*s[57])/11 + (17907959*s[58])/66 - (18117653*s[59])/66 - 
       (51906565*s[60])/44 + (4107737*s[61])/66 - 16*s[64] - 96*s[65] - 
       112*s[66] + 192*s[67] + 112*s[68] + 352*s[69] + 72*s[70] + 240*s[71] - 
       8*s[72] - 104*s[73] - 30*s[74] - 10*s[75] + 56*s[76] - 300*s[77] + 
       200*s[78] - 2304*s[79] - 444*s[80] + 17736*s[82] + 168*s[83] - 
       816*s[84] + 768*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[v, w, u]*
      (64*s[2] + (560*s[3])/3 + (15280*s[4])/3 + (146464*s[5])/33 + 
       (350200*s[6])/33 + (28259956*s[7])/297 - (6703832*s[8])/891 - 
       (6520240*s[9])/81 - (2139056*s[10])/81 - (30815032*s[11])/297 - 
       (33367148*s[12])/297 - (6576296*s[13])/99 - (4685272*s[14])/297 - 
       (1150388*s[15])/9 - (5339588*s[16])/33 - (37845320*s[17])/297 - 
       (4422560*s[18])/243 - (3324952*s[19])/243 - (517021744*s[20])/2673 - 
       (189261652*s[21])/2673 + (133642940*s[22])/2673 + 
       (10236568*s[23])/99 + (278782424*s[24])/2673 - 
       (3134631556*s[25])/24057 + (1759984804*s[26])/24057 + (32*s[30])/3 + 
       (64*s[31])/3 - 16*s[32] - (16*s[33])/3 - (64*s[35])/3 - 144*s[36] + 
       (2272*s[37])/9 + (8176*s[38])/3 - (35260*s[39])/3 + 13348*s[40] - 
       10484*s[41] + (51260*s[42])/3 + (345188*s[43])/33 - 
       (375280*s[44])/33 + (1308832*s[45])/99 - (9940276*s[46])/99 + 
       (366440*s[47])/99 + (235892*s[48])/99 - (4793252*s[49])/99 + 
       (2562224*s[50])/33 + (1170784*s[51])/99 + (911692*s[52])/99 - 
       (16034636*s[53])/297 + (184040*s[54])/99 - (34123324*s[55])/99 - 
       (27330988*s[56])/297 + (70408564*s[57])/891 - (411431000*s[58])/2673 + 
       (414588272*s[59])/2673 + (245207690*s[60])/297 - 
       (1092945896*s[61])/24057 + (16*s[71])/3 + (128*s[72])/3 - 
       (160*s[74])/3 + (160*s[75])/3 - (128*s[76])/3 - (64*s[77])/3 + 
       (128*s[78])/3 + (3776*s[79])/3 - (3904*s[80])/9 + 3776*s[82] + 
       512*s[84] + 768*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[v, u, w]*
      ((704*s[2])/3 + (808*s[3])/3 + (29548*s[4])/3 + (74600*s[5])/11 + 
       (582628*s[6])/33 + (47091236*s[7])/297 - (11641648*s[8])/891 - 
       (10839548*s[9])/81 - (3341212*s[10])/81 - (51834896*s[11])/297 - 
       (56855068*s[12])/297 - (1269848*s[13])/11 - (5472752*s[14])/297 - 
       (1882316*s[15])/9 - (26372408*s[16])/99 - (60403000*s[17])/297 - 
       (7134364*s[18])/243 - (5529548*s[19])/243 - (837623384*s[20])/2673 - 
       (303600752*s[21])/2673 + (223050268*s[22])/2673 + (6212384*s[23])/33 + 
       (458911600*s[24])/2673 - (5356047692*s[25])/24057 + 
       (2932280552*s[26])/24057 + (256*s[31])/3 - (64*s[32])/3 + 
       (136*s[33])/3 - 96*s[34] - (64*s[35])/3 - 384*s[36] + (3680*s[37])/9 + 
       (17120*s[38])/3 - 22976*s[39] + (77440*s[40])/3 - (61064*s[41])/3 + 
       33144*s[42] + (226560*s[43])/11 - (709264*s[44])/33 + 
       (2323520*s[45])/99 - (18149936*s[46])/99 + (715936*s[47])/99 + 
       (349504*s[48])/99 - (9212140*s[49])/99 + (1552064*s[50])/11 + 
       (2230100*s[51])/99 + (1818560*s[52])/99 - (29006200*s[53])/297 + 
       (269944*s[54])/99 - (61263032*s[55])/99 - (48532340*s[56])/297 + 
       (146514608*s[57])/891 - (763504756*s[58])/2673 + 
       (773742292*s[59])/2673 + (446002054*s[60])/297 - 
       (1918453468*s[61])/24057 - (64*s[71])/3 + (256*s[72])/3 - 96*s[74] + 
       96*s[75] - 128*s[76] - (64*s[77])/3 + (256*s[78])/3 + (6400*s[79])/3 - 
       (3776*s[80])/9 + 1600*s[82] + 1024*s[84] + 768*s[85]) + 
     HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - u]*(-29*s[2] + (261*s[3])/2 + 
       (14709*s[4])/2 + (141993*s[5])/44 + (505001*s[6])/44 + 
       (29114587*s[7])/264 - (8941885*s[8])/1188 - (2552339*s[9])/27 - 
       (3194983*s[10])/108 - (99938977*s[11])/792 - (56405377*s[12])/396 - 
       (70924153*s[13])/792 - (7915213*s[14])/792 - (9917591*s[15])/72 - 
       (72860171*s[16])/396 - (102320203*s[17])/792 - (2878187*s[18])/162 - 
       (6251285*s[19])/324 - (776161709*s[20])/3564 - 
       (548889745*s[21])/7128 + (426333239*s[22])/7128 + 
       (46724575*s[23])/396 + (453296287*s[24])/3564 - 
       (2586393439*s[25])/16038 + (686288348*s[26])/8019 + 12*s[28] + 
       72*s[29] - 13*s[30] + 78*s[31] - 81*s[32] + (223*s[33])/4 - 25*s[34] - 
       34*s[35] - 86*s[36] - (169*s[37])/3 + 5238*s[38] - 15810*s[39] + 
       19068*s[40] - 14747*s[41] + 21806*s[42] + (170582*s[43])/11 - 
       (719839*s[44])/44 + (904903*s[45])/66 - (7542973*s[46])/66 + 
       (141551*s[47])/44 + (362959*s[48])/44 - (3113669*s[49])/44 + 
       (975644*s[50])/11 + (2109781*s[51])/132 + (574309*s[52])/44 - 
       (5217139*s[53])/99 - (255158*s[54])/33 - (15396927*s[55])/44 - 
       (36566147*s[56])/396 + (88188223*s[57])/594 - (683849743*s[58])/3564 + 
       (667347937*s[59])/3564 + (785888047*s[60])/792 - 
       (1396330051*s[61])/32076 - 48*s[63] + 4*s[64] + 36*s[65] + 64*s[66] - 
       72*s[67] + 122*s[68] - 226*s[69] + 680*s[70] - 60*s[71] - 60*s[72] + 
       12*s[73] + 17*s[74] + 7*s[75] + 188*s[76] - 582*s[77] - 204*s[78] + 
       3008*s[79] - (2186*s[80])/3 + 3504*s[82] - 288*s[83] + 1080*s[84] + 
       768*s[85]) + HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - w]*
      ((317*s[2])/2 - (1071*s[3])/4 + (48081*s[4])/8 + (55937*s[5])/22 + 
       (940875*s[6])/88 + (47130257*s[7])/528 - (14604577*s[8])/2376 - 
       (2049688*s[9])/27 - (2440139*s[10])/108 - (163753549*s[11])/1584 - 
       (46854221*s[12])/396 - (118584451*s[13])/1584 - 
       (15168889*s[14])/1584 - (15283637*s[15])/144 - (29158463*s[16])/198 - 
       (157866883*s[17])/1584 - (1152251*s[18])/81 - (9663257*s[19])/648 - 
       (1249459433*s[20])/7128 - (860653831*s[21])/14256 + 
       (688487867*s[22])/14256 + (17856547*s[23])/198 + 
       (371487623*s[24])/3564 - (8542974047*s[25])/64152 + 
       (4470177587*s[26])/64152 - 56*s[30] + 6*s[31] + 107*s[32] - 
       (189*s[33])/4 + 52*s[34] - 11*s[35] - 57*s[36] + (431*s[37])/6 + 
       4363*s[38] - (28745*s[39])/2 + (34483*s[40])/2 - 13319*s[41] + 
       (39783*s[42])/2 + (299775*s[43])/22 - (1314451*s[44])/88 + 
       (1449751*s[45])/132 - (12957979*s[46])/132 + (883345*s[47])/264 + 
       (1985941*s[48])/264 - (16529131*s[49])/264 + (818293*s[50])/11 + 
       (3712229*s[51])/264 + (3152783*s[52])/264 - (8768065*s[53])/198 - 
       (106210*s[54])/33 - (76403773*s[55])/264 - (62684951*s[56])/792 + 
       (163446733*s[57])/1188 - (1181263603*s[58])/7128 + 
       (1138513369*s[59])/7128 + (1337771507*s[60])/1584 - 
       (2377445617*s[61])/64152 + 72*s[62] + 98*s[68] - 42*s[69] + 
       356*s[70] - 12*s[71] - 106*s[72] - 118*s[73] - (25*s[74])/2 - 
       (71*s[75])/2 + 2*s[76] - 187*s[77] - 130*s[78] + 2728*s[79] - 
       (2563*s[80])/3 - 2*s[81] + 3504*s[82] - 288*s[83] + 1080*s[84] + 
       768*s[85]) + HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - u]*
      (-30*s[2] + 173*s[3] + 7613*s[4] + (39316*s[5])/11 + (133356*s[6])/11 + 
       (45703391*s[7])/396 - (2342719*s[8])/297 - (5338729*s[9])/54 - 
       (834718*s[10])/27 - (52108019*s[11])/396 - (14658367*s[12])/99 - 
       (4086105*s[13])/44 - (4366697*s[14])/396 - (1738877*s[15])/12 - 
       (6349172*s[16])/33 - (53976559*s[17])/396 - (3048503*s[18])/162 - 
       (3245761*s[19])/162 - (406451695*s[20])/1782 - 
       (288322091*s[21])/3564 + (222328783*s[22])/3564 + (1353773*s[23])/11 + 
       (118249357*s[24])/891 - (5390313437*s[25])/32076 + 
       (2872245449*s[26])/32076 + 12*s[28] + 72*s[29] - 14*s[30] + 76*s[31] - 
       62*s[32] + (93*s[33])/2 - 22*s[34] - 32*s[35] - (232*s[36])/3 - 
       (116*s[37])/3 + 5436*s[38] - 16458*s[39] + (59134*s[40])/3 - 
       15260*s[41] + (67904*s[42])/3 + (532346*s[43])/33 - 
       (555539*s[44])/33 + (480484*s[45])/33 - (1319306*s[46])/11 + 
       (344323*s[47])/99 + (808501*s[48])/99 - (7240225*s[49])/99 + 
       (3061082*s[50])/33 + (1644119*s[51])/99 + (1355669*s[52])/99 - 
       (1844440*s[53])/33 - (74450*s[54])/11 - (12208033*s[55])/33 - 
       (9645203*s[56])/99 + (44423426*s[57])/297 - (177848749*s[58])/891 + 
       (174016837*s[59])/891 + (615921235*s[60])/594 - 
       (369723199*s[61])/8019 - 48*s[63] + 4*s[64] + 36*s[65] + 64*s[66] - 
       72*s[67] + 128*s[68] - 232*s[69] + 688*s[70] - 60*s[71] - 64*s[72] + 
       64*s[73] + 12*s[74] + 4*s[75] + 192*s[76] - 600*s[77] - 208*s[78] + 
       2960*s[79] - (2152*s[80])/3 + 2928*s[82] - 276*s[83] + 1080*s[84] + 
       768*s[85]) + HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - w]*
      (143*s[2] - (295*s[3])/2 + (27681*s[4])/4 + (66431*s[5])/22 + 
       (523309*s[6])/44 + (80055203*s[7])/792 - (8719699*s[8])/1188 - 
       (4627981*s[9])/54 - (687631*s[10])/27 - (92072845*s[11])/792 - 
       (13113715*s[12])/99 - (66014903*s[13])/792 - (7781053*s[14])/792 - 
       (8800825*s[15])/72 - (33065465*s[16])/198 - (30307933*s[17])/264 - 
       (2648657*s[18])/162 - (5430833*s[19])/324 - (704144453*s[20])/3564 - 
       (486983983*s[21])/7128 + (387582311*s[22])/7128 + 
       (21113317*s[23])/198 + (103977184*s[24])/891 - 
       (2407273801*s[25])/16038 + (1262050855*s[26])/16038 - 48*s[30] + 
       4*s[31] + 104*s[32] - (77*s[33])/2 + 48*s[34] - 18*s[35] - 140*s[36] + 
       (400*s[37])/3 + 4814*s[38] - (32251*s[39])/2 + (38203*s[40])/2 - 
       (29529*s[41])/2 + (44799*s[42])/2 + (333413*s[43])/22 - 
       (360433*s[44])/22 + (420295*s[45])/33 - (7361591*s[46])/66 + 
       (88903*s[47])/22 + (79393*s[48])/11 - (1519697*s[49])/22 + 
       (930284*s[50])/11 + (173967*s[51])/11 + (147794*s[52])/11 - 
       (5118860*s[53])/99 - (84760*s[54])/33 - (11078032*s[55])/33 - 
       (18038171*s[56])/198 + (88456769*s[57])/594 - (332188657*s[58])/1782 + 
       (161500697*s[59])/891 + (376665571*s[60])/396 - 
       (1377733031*s[61])/32076 + 72*s[62] + 104*s[68] - 48*s[69] + 
       364*s[70] - 12*s[71] - 92*s[72] - 116*s[73] - 21*s[74] - 27*s[75] - 
       12*s[76] - 214*s[77] - 116*s[78] + 2752*s[79] - (2464*s[80])/3 - 
       2*s[81] + 2928*s[82] - 276*s[83] + 1080*s[84] + 768*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[u, v, w]*((736*s[2])/9 + 360*s[3] + 
       (46708*s[4])/9 + (523760*s[5])/99 + (1206676*s[6])/99 + 
       (31812728*s[7])/297 - (7041512*s[8])/891 - (7352092*s[9])/81 - 
       (2525876*s[10])/81 - (34504876*s[11])/297 - (36896924*s[12])/297 - 
       (21775616*s[13])/297 - (6232384*s[14])/297 - (3941848*s[15])/27 - 
       (54553052*s[16])/297 - (14667740*s[17])/99 - (4965932*s[18])/243 - 
       (3913852*s[19])/243 - (590908192*s[20])/2673 - 
       (219388780*s[21])/2673 + (150079640*s[22])/2673 + 
       (31751692*s[23])/297 + (319055732*s[24])/2673 - 
       (3472259272*s[25])/24057 + (1990396924*s[26])/24057 - (32*s[30])/9 + 
       (64*s[31])/9 - (176*s[32])/9 - 40*s[33] + 32*s[34] - (256*s[35])/9 - 
       (496*s[36])/3 + 160*s[37] + (8528*s[38])/3 - (106868*s[39])/9 + 
       (121796*s[40])/9 - (96028*s[41])/9 + (153532*s[42])/9 + 
       (1116556*s[43])/99 - (1171924*s[44])/99 + (1491824*s[45])/99 - 
       (10808564*s[46])/99 + (311524*s[47])/99 + (368944*s[48])/99 - 
       (5112284*s[49])/99 + (8373664*s[50])/99 + (1161704*s[51])/99 + 
       (913864*s[52])/99 - (17556628*s[53])/297 + (9056*s[54])/11 - 
       (37674496*s[55])/99 - (29915420*s[56])/297 + (62621804*s[57])/891 - 
       (437791432*s[58])/2673 + (443054056*s[59])/2673 + 
       (268933138*s[60])/297 - (1208966824*s[61])/24057 + (64*s[70])/3 - 
       (16*s[71])/3 + (128*s[72])/3 - (416*s[74])/9 + (416*s[75])/9 - 
       (256*s[76])/9 - (256*s[77])/9 + (64*s[78])/3 + 1088*s[79] - 
       (896*s[80])/3 + (12800*s[82])/3 + 512*s[84] + (2560*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[w, v, u]*((1792*s[2])/9 + 
       (856*s[3])/3 + (89260*s[4])/9 + (682640*s[5])/99 + (1724836*s[6])/99 + 
       (47301548*s[7])/297 - (143632*s[8])/11 - (1210676*s[9])/9 - 
       (124708*s[10])/3 - (1926196*s[11])/11 - (18996352*s[12])/99 - 
       (34224100*s[13])/297 - (1860692*s[14])/99 - (5703260*s[15])/27 - 
       (79658716*s[16])/297 - (60992084*s[17])/297 - (2380900*s[18])/81 - 
       (1875812*s[19])/81 - (281383088*s[20])/891 - (101779048*s[21])/891 + 
       (8301116*s[22])/99 + (56093288*s[23])/297 + (51354632*s[24])/297 - 
       (1790227528*s[25])/8019 + (979962748*s[26])/8019 + (64*s[30])/9 + 
       (640*s[31])/9 - (80*s[32])/9 + (128*s[33])/3 - (256*s[34])/3 - 
       (256*s[35])/9 - (3344*s[36])/9 + (3712*s[37])/9 + 5648*s[38] - 
       (206252*s[39])/9 + (231868*s[40])/9 - (183028*s[41])/9 + 
       (298244*s[42])/9 + (2014004*s[43])/99 - (2118860*s[44])/99 + 
       (759400*s[45])/33 - (17950660*s[46])/99 + (2183756*s[47])/297 + 
       (942824*s[48])/297 - (27412988*s[49])/297 + (13832000*s[50])/99 + 
       (6706360*s[51])/297 + (5426200*s[52])/297 - (28746644*s[53])/297 + 
       (289744*s[54])/99 - (60629432*s[55])/99 - (47928836*s[56])/297 + 
       (146075972*s[57])/891 - (755265712*s[58])/2673 + 
       (766158232*s[59])/2673 + (1322518822*s[60])/891 - 
       (1893822268*s[61])/24057 - 16*s[71] + (256*s[72])/3 - (896*s[74])/9 + 
       (896*s[75])/9 - (1024*s[76])/9 - (256*s[77])/9 + (256*s[78])/3 + 
       (6592*s[79])/3 - (4480*s[80])/9 + (6272*s[82])/3 + 1024*s[84] + 
       (2560*s[85])/3) + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 1 - u]*
      (209*s[2] + 515*s[3] + (5483*s[4])/2 + (132463*s[5])/22 + 
       (116114*s[6])/11 + (12593897*s[7])/132 - (1514440*s[8])/297 - 
       (2201675*s[9])/27 - (1746521*s[10])/54 - (40829645*s[11])/396 - 
       (21060863*s[12])/198 - (24329057*s[13])/396 - (10625399*s[14])/396 - 
       (4897411*s[15])/36 - (33652687*s[16])/198 - (57709517*s[17])/396 - 
       (2971475*s[18])/162 - (2771179*s[19])/162 - (370448191*s[20])/1782 - 
       (289405463*s[21])/3564 + (179038603*s[22])/3564 + (7099657*s[23])/99 + 
       (199867913*s[24])/1782 - (3924167399*s[25])/32076 + 
       (2396791187*s[26])/32076 - 12*s[30] + 36*s[31] + 24*s[32] - 
       (173*s[33])/2 + 4*s[34] - 66*s[35] - 222*s[36] - (737*s[37])/6 + 
       2153*s[38] - (17043*s[39])/2 + (19279*s[40])/2 - 7873*s[41] + 
       11232*s[42] + (215877*s[43])/22 - (440233*s[44])/44 + 
       (1954055*s[45])/132 - (13157867*s[46])/132 + (7595*s[47])/44 + 
       (331765*s[48])/44 - (2175529*s[49])/44 + (882983*s[50])/11 + 
       (930121*s[51])/132 + (178521*s[52])/44 - (22078849*s[53])/396 - 
       (825949*s[54])/66 - (48160565*s[55])/132 - (34876541*s[56])/396 + 
       (5400074*s[57])/297 - (122062405*s[58])/891 + (509738839*s[59])/3564 + 
       (85347386*s[60])/99 - (3058834931*s[61])/64152 - 12*s[65] - 48*s[66] + 
       72*s[67] + 6*s[68] + 138*s[69] + 140*s[70] + 15*s[71] + 24*s[72] - 
       32*s[73] + 26*s[74] + 70*s[75] + 36*s[76] - 188*s[77] + 72*s[78] - 
       160*s[79] - (95*s[80])/3 + 10368*s[82] + 84*s[83] - 192*s[84] + 
       1536*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 1}, 1 - w]*
      (245*s[2] + 60*s[3] - 300*s[4] + (57579*s[5])/11 + (86429*s[6])/11 + 
       (4176707*s[7])/66 - (295549*s[8])/198 - (495967*s[9])/9 - 
       (224087*s[10])/9 - (8817307*s[11])/132 - (4282447*s[12])/66 - 
       (1590949*s[13])/44 - (3891487*s[14])/132 - (566333*s[15])/6 - 
       (5141787*s[16])/44 - (14413433*s[17])/132 - (332192*s[18])/27 - 
       (329350*s[19])/27 - (44311822*s[20])/297 - (72864163*s[21])/1188 + 
       (39659867*s[22])/1188 + (787091*s[23])/44 + (94459979*s[24])/1188 - 
       (393805889*s[25])/5346 + (135109525*s[26])/2673 - 50*s[30] + 
       36*s[31] + 30*s[32] - 140*s[33] + 24*s[34] - 104*s[35] - 9*s[36] - 
       361*s[37] + 744*s[38] - (11967*s[39])/4 + (14219*s[40])/4 - 
       (13015*s[41])/4 + (12411*s[42])/4 + (241233*s[43])/44 - 
       (452389*s[44])/88 + (229917*s[45])/22 - (2706937*s[46])/44 - 
       (566549*s[47])/264 + (2203405*s[48])/264 - (7781473*s[49])/264 + 
       (1122443*s[50])/22 + (250373*s[51])/264 - (83701*s[52])/264 - 
       (4778513*s[53])/132 - (127071*s[54])/11 - (64065389*s[55])/264 - 
       (14619955*s[56])/264 - (3347449*s[57])/99 - (172388585*s[58])/2376 + 
       (187374107*s[59])/2376 + (887757643*s[60])/1584 - 
       (682720967*s[61])/21384 + 4*s[64] - 9*s[65] - 44*s[66] + 60*s[67] + 
       6*s[68] + 134*s[69] + 140*s[70] + 12*s[71] - 52*s[72] + 68*s[73] + 
       48*s[74] + 10*s[75] + 100*s[76] - 150*s[77] + 64*s[78] - 624*s[79] + 
       50*s[80] + 10368*s[82] + 84*s[83] - 192*s[84] + 1536*s[85]) + 
     HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - w]*(-1178*s[2] - 577*s[3] - 
       (14915*s[4])/2 - (36529*s[5])/11 - (136617*s[6])/11 - 
       (8182747*s[7])/132 + (797095*s[8])/99 + (946441*s[9])/18 + 
       (9355*s[10])/9 + (4640149*s[11])/66 + (10888591*s[12])/132 + 
       (7316779*s[13])/132 - (415831*s[14])/132 + (901781*s[15])/12 + 
       (6143105*s[16])/66 + (619810*s[17])/11 + (905267*s[18])/54 - 
       (174589*s[19])/27 + (62919655*s[20])/594 + (57726155*s[21])/1188 - 
       (38367217*s[22])/1188 - (20723051*s[23])/132 - (53832463*s[24])/1188 + 
       (998167433*s[25])/10692 - (602223737*s[26])/10692 - 24*s[28] - 
       144*s[29] - 64*s[30] + 24*s[31] + 20*s[32] + 371*s[33] + 240*s[34] - 
       84*s[35] + 232*s[36] - 1392*s[37] - 3260*s[38] + 13824*s[39] - 
       15824*s[40] + 11574*s[41] - 23606*s[42] - (81759*s[43])/11 + 
       (92530*s[44])/11 - (25207*s[45])/11 + (509433*s[46])/11 - 
       (386129*s[47])/33 + (430621*s[48])/33 + (485627*s[49])/33 - 
       (212336*s[50])/11 - (188674*s[51])/11 - (537586*s[52])/33 + 
       (538787*s[53])/33 - (415032*s[54])/11 + (3200855*s[55])/33 + 
       (2213777*s[56])/33 - (26018519*s[57])/99 + (42230371*s[58])/297 - 
       (38851771*s[59])/297 - (20772751*s[60])/99 + (54507325*s[61])/2673 + 
       192*s[63] + 8*s[64] - 72*s[65] - 112*s[66] + 192*s[67] - 528*s[68] + 
       400*s[69] - 1312*s[70] + 96*s[71] - 152*s[72] + 184*s[73] + 30*s[74] - 
       46*s[75] - 280*s[76] + 1716*s[77] + 56*s[78] - 2400*s[79] + 
       224*s[80] + 16008*s[82] + 168*s[83] - 816*s[84] + 1632*s[85]) + 
     HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - u]*(-8*s[2] + 362*s[3] - 8258*s[4] - 
       (38222*s[5])/11 - (367083*s[6])/22 - (916032*s[7])/11 + 
       (5900165*s[8])/594 + (3731521*s[9])/54 + (84625*s[10])/27 + 
       (37979783*s[11])/396 + (46982629*s[12])/396 + (7485311*s[13])/99 + 
       (365480*s[14])/99 + (743797*s[15])/9 + (23784067*s[16])/198 + 
       (25355183*s[17])/396 + (4322201*s[18])/162 - (1593755*s[19])/162 + 
       (130515860*s[20])/891 + (50786276*s[21])/891 - (75573983*s[22])/1782 - 
       (70585045*s[23])/396 - (202747069*s[24])/3564 + 
       (4105424885*s[25])/32076 - (2327163053*s[26])/32076 + 12*s[30] - 
       72*s[31] - 376*s[32] + 31*s[33] + 188*s[34] + 683*s[35] + 428*s[36] - 
       (2210*s[37])/3 - 6384*s[38] + 23955*s[39] - 26259*s[40] + 
       19291*s[41] - 36131*s[42] - (163916*s[43])/11 + (186568*s[44])/11 - 
       (344393*s[45])/33 + (3785660*s[46])/33 - (552271*s[47])/33 + 
       (329060*s[48])/33 + (1802134*s[49])/33 - (767700*s[50])/11 - 
       (853708*s[51])/33 - (864602*s[52])/33 + (4662409*s[53])/99 - 
       (1400848*s[54])/33 + (9523940*s[55])/33 + (11599847*s[56])/99 - 
       (95304551*s[57])/297 + (217679950*s[58])/891 - (198306073*s[59])/891 - 
       (152907587*s[60])/198 + (804908327*s[61])/16038 + 24*s[64] + 
       24*s[65] - 480*s[68] + 48*s[69] - 544*s[70] + 120*s[71] - 48*s[72] - 
       176*s[73] + 196*s[74] - 148*s[75] + 432*s[76] + 800*s[77] - 
       432*s[78] - 2912*s[79] + (1088*s[80])/3 + 4*s[81] + 16008*s[82] + 
       168*s[83] - 816*s[84] + 1632*s[85]) + 
     HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - v]*(-30*s[2] - 4479*s[3] - 
       (57561*s[4])/2 - (89985*s[5])/11 - (844045*s[6])/22 - 
       (11745493*s[7])/44 + (2181271*s[8])/66 + (655894*s[9])/3 + 
       (86702*s[10])/3 + (13361595*s[11])/44 + (3980732*s[12])/11 + 
       (10295425*s[13])/44 - (521937*s[14])/44 + (1216915*s[15])/4 + 
       (4358932*s[16])/11 + (10321645*s[17])/44 + (580454*s[18])/9 + 
       (25799*s[19])/18 + (91703531*s[20])/198 + (66776053*s[21])/396 - 
       (53683925*s[22])/396 - (6149508*s[23])/11 - (22288517*s[24])/99 + 
       (730287563*s[25])/1782 - (386301803*s[26])/1782 + 36*s[30] - 
       96*s[31] - 168*s[32] - 192*s[33] + 324*s[34] - 36*s[35] - 132*s[36] - 
       1962*s[37] - 25428*s[38] + 72492*s[39] - 78696*s[40] + 60810*s[41] - 
       102036*s[42] - (684324*s[43])/11 + (1209057*s[44])/22 - 
       (622161*s[45])/11 + (4922271*s[46])/11 - (680737*s[47])/22 + 
       (241503*s[48])/22 + (5015819*s[49])/22 - (3525484*s[50])/11 - 
       (1654617*s[51])/22 - (1529443*s[52])/22 + (2432948*s[53])/11 - 
       (664228*s[54])/11 + (31781509*s[55])/22 + (9220709*s[56])/22 - 
       (7781071*s[57])/11 + (53136971*s[58])/66 - (53728649*s[59])/66 - 
       (153580893*s[60])/44 + (108933553*s[61])/594 - 48*s[64] - 288*s[65] - 
       336*s[66] + 576*s[67] + 336*s[68] + 1056*s[69] + 216*s[70] + 
       720*s[71] - 24*s[72] - 312*s[73] - 90*s[74] - 30*s[75] + 168*s[76] - 
       900*s[77] + 600*s[78] - 6912*s[79] - 1332*s[80] + 53280*s[82] + 
       504*s[83] - 2448*s[84] + 2304*s[85]) + 
     HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - u]*(-29*s[2] + (2341*s[3])/2 + 
       (56985*s[4])/2 + (700769*s[5])/44 + (2092221*s[6])/44 + 
       (118336099*s[7])/264 - (37380697*s[8])/1188 - (10331138*s[9])/27 - 
       (13077019*s[10])/108 - (400590385*s[11])/792 - (223311745*s[12])/396 - 
       (276500569*s[13])/792 - (39240037*s[14])/792 - (41260055*s[15])/72 - 
       (297394763*s[16])/396 - (433309747*s[17])/792 - (12340355*s[18])/162 - 
       (24523553*s[19])/324 - (3178767689*s[20])/3564 - 
       (2277343273*s[21])/7128 + (1712570111*s[22])/7128 + 
       (189723019*s[23])/396 + (1819641151*s[24])/3564 - 
       (5160509675*s[25])/8019 + (5571604447*s[26])/16038 + 36*s[28] + 
       216*s[29] - 61*s[30] + 222*s[31] - 129*s[32] + (223*s[33])/4 - 
       25*s[34] - 154*s[35] - 342*s[36] + (119*s[37])/3 + 19462*s[38] - 
       62252*s[39] + 73478*s[40] - 57205*s[41] + 86116*s[42] + 
       (660492*s[43])/11 - (2756407*s[44])/44 + (3903223*s[45])/66 - 
       (31171513*s[46])/66 + (1932149*s[47])/132 + (3504269*s[48])/132 - 
       (36110951*s[49])/132 + (4015456*s[50])/11 + (8237797*s[51])/132 + 
       (6741607*s[52])/132 - (22640455*s[53])/99 - (656294*s[54])/33 - 
       (198059933*s[55])/132 - (155667227*s[56])/396 + 
       (311197195*s[57])/594 - (2736132583*s[58])/3564 + 
       (2699234545*s[59])/3564 + (1065379357*s[60])/264 - 
       (6072490999*s[61])/32076 - 144*s[63] + 4*s[64] + 108*s[65] + 
       208*s[66] - 216*s[67] + 402*s[68] - 698*s[69] + 2088*s[70] - 
       180*s[71] - 204*s[72] + 284*s[73] - 11*s[74] + 67*s[75] + 572*s[76] - 
       1822*s[77] - 636*s[78] + 9536*s[79] - (7178*s[80])/3 + 12240*s[82] - 
       792*s[83] + 3624*s[84] + 3072*s[85]) + 
     HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - w]*((893*s[2])/2 + (965*s[3])/4 + 
       (212953*s[4])/8 + (307207*s[5])/22 + (4133563*s[6])/88 + 
       (214512761*s[7])/528 - (71331041*s[8])/2376 - (9284039*s[9])/27 - 
       (11349607*s[10])/108 - (730419221*s[11])/1584 - 
       (205357297*s[12])/396 - (509856107*s[13])/1584 - 
       (71032913*s[14])/1584 - (73038637*s[15])/144 - (134070913*s[16])/198 - 
       (767659883*s[17])/1584 - (5483890*s[18])/81 - (43437697*s[19])/648 - 
       (5705852833*s[20])/7128 - (4010796095*s[21])/14256 + 
       (3092040451*s[22])/14256 + (85513013*s[23])/198 + 
       (1655843755*s[24])/3564 - (37982016571*s[25])/64152 + 
       (20232247279*s[26])/64152 - 120*s[30] + 6*s[31] + 335*s[32] - 
       (581*s[33])/4 + 164*s[34] - 139*s[35] - 637*s[36] + (3811*s[37])/6 + 
       17723*s[38] - (123271*s[39])/2 + (144329*s[40])/2 - 56022*s[41] + 
       (172069*s[42])/2 + (115347*s[43])/2 - (494685*s[44])/8 + 
       (642601*s[45])/12 - (5381641*s[46])/12 + (385711*s[47])/24 + 
       (576403*s[48])/24 - (6328309*s[49])/24 + 342515*s[50] + 
       (1450147*s[51])/24 + (1210337*s[52])/24 - (3909847*s[53])/18 - 
       (23254*s[54])/3 - (11228969*s[55])/8 - (26994857*s[56])/72 + 
       (56508319*s[57])/108 - (472890253*s[58])/648 + (465656575*s[59])/648 + 
       (546812285*s[60])/144 - (1048758715*s[61])/5832 + 216*s[62] + 
       330*s[68] - 130*s[69] + 1116*s[70] - 36*s[71] - 234*s[72] - 
       374*s[73] - (209*s[74])/2 - (47*s[75])/2 - 110*s[76] - 691*s[77] - 
       306*s[78] + 9224*s[79] - (8183*s[80])/3 - 6*s[81] + 12240*s[82] - 
       792*s[83] + 3624*s[84] + 3072*s[85]) + 
     HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - w]*(-3246*s[2] - 1731*s[3] - 
       (44067*s[4])/2 - (109260*s[5])/11 - (797073*s[6])/22 - 
       (8138389*s[7])/44 + (1583507*s[8])/66 + (471812*s[9])/3 + 
       (11605*s[10])/3 + (9225983*s[11])/44 + (2703496*s[12])/11 + 
       (7253965*s[13])/44 - (440241*s[14])/44 + (900275*s[15])/4 + 
       (3057596*s[16])/11 + (7432801*s[17])/44 + (446038*s[18])/9 - 
       (326537*s[19])/18 + (62585059*s[20])/198 + (57133985*s[21])/396 - 
       (38210941*s[22])/396 - (5118499*s[23])/11 - (13482886*s[24])/99 + 
       (496463239*s[25])/1782 - (298397323*s[26])/1782 - 72*s[28] - 
       432*s[29] - 192*s[30] + 72*s[31] + 60*s[32] + 1113*s[33] + 720*s[34] - 
       252*s[35] + 696*s[36] - 4176*s[37] - 9852*s[38] + 41295*s[39] - 
       47295*s[40] + 34425*s[41] - 70383*s[42] - (244833*s[43])/11 + 
       (277467*s[44])/11 - (75462*s[45])/11 + (1510821*s[46])/11 - 
       (384991*s[47])/11 + (430450*s[48])/11 + (498537*s[49])/11 - 
       (643336*s[50])/11 - (564374*s[51])/11 - (533514*s[52])/11 + 
       (534844*s[53])/11 - (1205740*s[54])/11 + (3170388*s[55])/11 + 
       (2150283*s[56])/11 - (25697249*s[57])/33 + (41668189*s[58])/99 - 
       (38407390*s[59])/99 - (41569793*s[60])/66 + (105786479*s[61])/1782 + 
       576*s[63] + 24*s[64] - 216*s[65] - 336*s[66] + 576*s[67] - 
       1584*s[68] + 1200*s[69] - 3936*s[70] + 288*s[71] - 456*s[72] + 
       552*s[73] + 90*s[74] - 138*s[75] - 840*s[76] + 5148*s[77] + 
       168*s[78] - 7200*s[79] + 672*s[80] + 48096*s[82] + 504*s[83] - 
       2448*s[84] + 4896*s[85]) + HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - u]*
      (-24*s[2] + 942*s[3] - 25038*s[4] - (115395*s[5])/11 - 
       (546405*s[6])/11 - (16668505*s[7])/66 + (987131*s[8])/33 + 
       (628942*s[9])/3 + (32291*s[10])/3 + (6396057*s[11])/22 + 
       (3945620*s[12])/11 + (15090857*s[13])/66 + (223059*s[14])/22 + 
       (1518571*s[15])/6 + (12068701*s[16])/33 + (13009189*s[17])/66 + 
       (238876*s[18])/3 - (82277*s[19])/3 + (14665049*s[20])/33 + 
       (34127551*s[21])/198 - (25481917*s[22])/198 - (17707652*s[23])/33 - 
       (17353862*s[24])/99 + (345777176*s[25])/891 - (195371642*s[26])/891 + 
       36*s[30] - 216*s[31] - 1128*s[32] + 93*s[33] + 564*s[34] + 
       2040*s[35] + 1104*s[36] - 2208*s[37] - 19344*s[38] + 72258*s[39] - 
       79202*s[40] + 58170*s[41] - 108790*s[42] - 45410*s[43] + 51452*s[44] - 
       31896*s[45] + 347630*s[46] - (150250*s[47])/3 + (89372*s[48])/3 + 
       (502894*s[49])/3 - 212864*s[50] - (232760*s[51])/3 - 
       (235586*s[52])/3 + (431704*s[53])/3 - 123708*s[54] + 882516*s[55] + 
       (1053922*s[56])/3 - (8620888*s[57])/9 + (19849514*s[58])/27 - 
       (18161564*s[59])/27 - (21182573*s[60])/9 + (36634937*s[61])/243 + 
       72*s[64] + 72*s[65] - 1440*s[68] + 144*s[69] - 1632*s[70] + 
       360*s[71] - 144*s[72] - 528*s[73] + 588*s[74] - 444*s[75] + 
       1296*s[76] + 2400*s[77] - 1296*s[78] - 8736*s[79] + 1056*s[80] + 
       12*s[81] + 48096*s[82] + 504*s[83] - 2448*s[84] + 4896*s[85]) + 
     HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - u]*(3120*s[3] + 62838*s[4] + 
       (413901*s[5])/11 + (1179767*s[6])/11 + (11044185*s[7])/11 - 
       (782047*s[8])/11 - 855959*s[9] - 271677*s[10] - (12406527*s[11])/11 - 
       (13778547*s[12])/11 - (8486880*s[13])/11 - (1292056*s[14])/11 - 
       1292358*s[15] - (18526845*s[16])/11 - (13646064*s[17])/11 - 
       (521387*s[18])/3 - (501076*s[19])/3 - (66090946*s[20])/33 - 
       (23772659*s[21])/33 + (17693626*s[22])/33 + (11814919*s[23])/11 + 
       (37562501*s[24])/33 - (94570039*s[25])/66 + (51339119*s[26])/66 + 
       72*s[28] + 432*s[29] - 144*s[30] + 432*s[31] - 144*s[32] - 360*s[35] - 
       768*s[36] + 288*s[37] + 42192*s[38] - 137982*s[39] + 161886*s[40] - 
       126222*s[41] + 191202*s[42] + (1453890*s[43])/11 - 
       (1513170*s[44])/11 + (1484376*s[45])/11 - (11691774*s[46])/11 + 
       (374234*s[47])/11 + (598040*s[48])/11 - (6620326*s[49])/11 + 
       (9024572*s[50])/11 + (1518804*s[51])/11 + (1244704*s[52])/11 - 
       (5742168*s[53])/11 - (395284*s[54])/11 - (37547132*s[55])/11 - 
       (9830226*s[56])/11 + (37024414*s[57])/33 - (169481414*s[58])/99 + 
       (167674808*s[59])/99 + (298105069*s[60])/33 - (385859009*s[61])/891 - 
       288*s[63] + 216*s[65] + 432*s[66] - 432*s[67] + 840*s[68] - 
       1416*s[69] + 4224*s[70] - 360*s[71] - 432*s[72] + 816*s[73] - 
       84*s[74] + 180*s[75] + 1152*s[76] - 3720*s[77] - 1296*s[78] + 
       19584*s[79] - 4992*s[80] + 26208*s[82] - 1512*s[83] + 7632*s[84] + 
       6912*s[85]) + HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - w]*
      (864*s[2] + 1530*s[3] + 61299*s[4] + (371625*s[5])/11 + 
       (1187666*s[6])/11 + (62129383*s[7])/66 - (7017592*s[8])/99 - 
       (7161023*s[9])/9 - (2201983*s[10])/9 - (70130617*s[11])/66 - 
       (39246181*s[12])/33 - (16151743*s[13])/22 - (6910315*s[14])/66 - 
       (2379541*s[15])/2 - (17302339*s[16])/11 - (75357149*s[17])/66 - 
       (4292983*s[18])/27 - (4167461*s[19])/27 - (551260799*s[20])/297 - 
       (389544487*s[21])/594 + (297413705*s[22])/594 + (11170419*s[23])/11 + 
       (317658265*s[24])/297 - (7287483415*s[25])/5346 + 
       (3900740719*s[26])/5346 - 192*s[30] + 684*s[32] - 294*s[33] + 
       336*s[34] - 384*s[35] - 1676*s[36] + 1658*s[37] + 39648*s[38] - 
       140493*s[39] + 163409*s[40] - 127005*s[41] + 196717*s[42] + 
       (1438075*s[43])/11 - (3067505*s[44])/22 + (1389755*s[45])/11 - 
       (11442450*s[46])/11 + (2506231*s[47])/66 + (3237709*s[48])/66 - 
       (39394405*s[49])/66 + (8754572*s[50])/11 + (9107381*s[51])/66 + 
       (7561403*s[52])/66 - (5641530*s[53])/11 - (142192*s[54])/11 - 
       (72702579*s[55])/22 - (58004939*s[56])/66 + (114064162*s[57])/99 - 
       (996044227*s[58])/594 + (986044003*s[59])/594 + 
       (3470802589*s[60])/396 - (1133640914*s[61])/2673 + 432*s[62] + 
       696*s[68] - 264*s[69] + 2280*s[70] - 72*s[71] - 384*s[72] - 
       768*s[73] - 276*s[74] + 36*s[75] - 336*s[76] - 1512*s[77] - 
       528*s[78] + 19488*s[79] - 5684*s[80] - 12*s[81] + 26208*s[82] - 
       1512*s[83] + 7632*s[84] + 6912*s[85]) + 
     HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - v]*(1164*s[2] + 1764*s[3] + 52164*s[4] + 
       (229254*s[5])/11 + (892242*s[6])/11 + (8299845*s[7])/11 - 
       (686528*s[8])/11 - 633358*s[9] - 197354*s[10] - (9346203*s[11])/11 - 
       (10552560*s[12])/11 - (6499965*s[13])/11 - (596835*s[14])/11 - 
       944281*s[15] - (13821354*s[16])/11 - (9782547*s[17])/11 - 
       (391958*s[18])/3 - (349792*s[19])/3 - (48383020*s[20])/33 - 
       (16673551*s[21])/33 + (13248599*s[22])/33 + (10099374*s[23])/11 + 
       (27507946*s[24])/33 - (327464869*s[25])/297 + (171022261*s[26])/297 + 
       720*s[29] + 912*s[31] + 216*s[32] + 192*s[33] + 336*s[34] - 
       384*s[35] - 1724*s[36] + 242*s[37] + 31536*s[38] - 114405*s[39] + 
       134921*s[40] - 107217*s[41] + 161737*s[42] + (1193539*s[43])/11 - 
       (2576657*s[44])/22 + (1151075*s[45])/11 - (9588066*s[46])/11 + 
       (1806223*s[47])/66 + (3076261*s[48])/66 - (33059821*s[49])/66 + 
       (7446968*s[50])/11 + (7522805*s[51])/66 + (6114731*s[52])/66 - 
       (4756270*s[53])/11 - (279436*s[54])/11 - (61574691*s[55])/22 - 
       (48511811*s[56])/66 + (90347506*s[57])/99 - (824269579*s[58])/594 + 
       (818151955*s[59])/594 + (2935401277*s[60])/396 - 
       (942767204*s[61])/2673 + 504*s[62] - 1440*s[63] + 72*s[64] + 
       72*s[65] - 288*s[68] + 288*s[69] + 2688*s[70] - 144*s[71] - 
       384*s[72] - 768*s[73] - 276*s[74] + 36*s[75] - 624*s[76] - 
       3504*s[77] - 528*s[78] + 19200*s[79] - 4820*s[80] - 12*s[81] + 
       26208*s[82] - 1512*s[83] + 7632*s[84] + 6912*s[85] - 432*s[86]) + 
     HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - v]*((923*s[2])/2 + (2281*s[3])/4 + 
       (177707*s[4])/8 + (301855*s[5])/44 + (2881495*s[6])/88 + 
       (161937389*s[7])/528 - (61118033*s[8])/2376 - (6937598*s[9])/27 - 
       (2151466*s[10])/27 - (551092325*s[11])/1584 - (39257503*s[12])/99 - 
       (389595455*s[13])/1584 - (25649777*s[14])/1584 - 
       (54293041*s[15])/144 - (201542063*s[16])/396 - 
       (555250067*s[17])/1584 - (8378519*s[18])/162 - (31224721*s[19])/648 - 
       (4210481761*s[20])/7128 - (2851033211*s[21])/14256 + 
       (2335598035*s[22])/14256 + (150854791*s[23])/396 + 
       (605873417*s[24])/1782 - (29160172297*s[25])/64152 + 
       (14978762641*s[26])/64152 + 360*s[29] + 3*s[30] + 408*s[31] + 
       98*s[32] + 109*s[33] + 245*s[34] - 133*s[35] - 669*s[36] - 
       (599*s[37])/6 + 13367*s[38] - 47655*s[39] + 56914*s[40] - 
       (90847*s[41])/2 + 67302*s[42] + 45803*s[43] - (399487*s[44])/8 + 
       (502483*s[45])/12 - (4298149*s[46])/12 + (82735*s[47])/8 + 
       (182047*s[48])/8 - (1699589*s[49])/8 + 278905*s[50] + 
       (380383*s[51])/8 + (309117*s[52])/8 - (3136045*s[53])/18 - 
       (43300*s[54])/3 - (27190469*s[55])/24 - (21431195*s[56])/72 + 
       (42533503*s[57])/108 - (372216439*s[58])/648 + (367396777*s[59])/648 + 
       (442627543*s[60])/144 - (825306955*s[61])/5832 + 252*s[62] - 
       720*s[63] + 36*s[64] + 36*s[65] - 168*s[68] + 168*s[69] + 1304*s[70] - 
       72*s[71] - 234*s[72] - 390*s[73] - (209*s[74])/2 - (47*s[75])/2 - 
       254*s[76] - 1727*s[77] - 306*s[78] + 9104*s[79] - (6917*s[80])/3 - 
       6*s[81] + 12240*s[82] - 792*s[83] + 3624*s[84] + 3072*s[85] - 
       216*s[86]) + HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - v]*
      ((147*s[2])/2 - (71*s[3])/4 + (37043*s[4])/8 - (923*s[5])/4 + 
       (43349*s[6])/8 + (2495351*s[7])/48 - (1010195*s[8])/216 - 
       (1164160*s[9])/27 - (351296*s[10])/27 - (8808479*s[11])/144 - 
       (656509*s[12])/9 - (6718925*s[13])/144 + (320701*s[14])/144 - 
       (8320001*s[15])/144 - (3046229*s[16])/36 - (7171049*s[17])/144 - 
       (1256587*s[18])/162 - (5585681*s[19])/648 - (61958299*s[20])/648 - 
       (38009009*s[21])/1296 + (36692617*s[22])/1296 + (2587105*s[23])/36 + 
       (9437957*s[24])/162 - (481052815*s[25])/5832 + 
       (228155839*s[26])/5832 + 120*s[29] + 3*s[30] + 104*s[31] + 26*s[32] + 
       45*s[33] + 133*s[34] - 5*s[35] - 73*s[36] - (1147*s[37])/6 + 
       2711*s[38] - 9088*s[39] + 11487*s[40] - (18633*s[41])/2 + 
       12819*s[42] + (100824*s[43])/11 - (921737*s[44])/88 + 
       (863173*s[45])/132 - (8457103*s[46])/132 + (304123*s[47])/264 + 
       (1868323*s[48])/264 - (11450281*s[49])/264 + (554451*s[50])/11 + 
       (808673*s[51])/88 + (1968833*s[52])/264 - (5567803*s[53])/198 - 
       (189340*s[54])/33 - (49456619*s[55])/264 - (39458765*s[56])/792 + 
       (104583253*s[57])/1188 - (760962121*s[58])/7128 + 
       (729235663*s[59])/7128 + (905632841*s[60])/1584 - 
       (1446324565*s[61])/64152 + 84*s[62] - 240*s[63] + 12*s[64] + 
       12*s[65] - 72*s[68] + 72*s[69] + 408*s[70] - 24*s[71] - 106*s[72] - 
       134*s[73] - (25*s[74])/2 - (71*s[75])/2 - 46*s[76] - 559*s[77] - 
       130*s[78] + 2704*s[79] - (2161*s[80])/3 - 2*s[81] + 3504*s[82] - 
       288*s[83] + 1080*s[84] + 768*s[85] - 72*s[86]) + 
     HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - v]*(103*s[2] - (161*s[3])/2 + 
       (20297*s[4])/4 + (10099*s[5])/22 + (291129*s[6])/44 + 
       (49720169*s[7])/792 - (6460723*s[8])/1188 - (1417517*s[9])/27 - 
       (428059*s[10])/27 - (57595723*s[11])/792 - (8425576*s[12])/99 - 
       (42682529*s[13])/792 - (57439*s[14])/792 - (5238967*s[15])/72 - 
       (20342291*s[16])/198 - (17091479*s[17])/264 - (798622*s[18])/81 - 
       (3218051*s[19])/324 - (419873075*s[20])/3564 - 
       (269925877*s[21])/7128 + (242411117*s[22])/7128 + 
       (16354027*s[23])/198 + (62247610*s[24])/891 - (3101491457*s[25])/
        32076 + (1523531393*s[26])/32076 + 120*s[29] + 2*s[30] + 120*s[31] + 
       16*s[32] + 38*s[33] + 102*s[34] - 14*s[35] - (428*s[36])/3 - 
       138*s[37] + 3110*s[38] - (21253*s[39])/2 + (78679*s[40])/6 - 
       (21183*s[41])/2 + (90119*s[42])/6 + (692753*s[43])/66 - 
       (386833*s[44])/33 + (88884*s[45])/11 - (5000483*s[46])/66 + 
       (175970*s[47])/99 + (1336561*s[48])/198 - (4847192*s[49])/99 + 
       (1958710*s[50])/33 + (2128337*s[51])/198 + (1736249*s[52])/198 - 
       (3433268*s[53])/99 - (168538*s[54])/33 - (15054425*s[55])/66 - 
       (5969666*s[56])/99 + (57997045*s[57])/594 - (111161119*s[58])/891 + 
       (215841491*s[59])/1782 + (197493877*s[60])/297 - 
       (888329419*s[61])/32076 + 84*s[62] - 240*s[63] + 12*s[64] + 12*s[65] - 
       64*s[68] + 64*s[69] + 400*s[70] - 24*s[71] - 92*s[72] - 132*s[73] - 
       21*s[74] - 27*s[75] - 60*s[76] - 546*s[77] - 116*s[78] + 2720*s[79] - 
       684*s[80] - 2*s[81] + 2928*s[82] - 276*s[83] + 1080*s[84] + 
       768*s[85] - 72*s[86]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      ((-680*s[2])/3 - (1546*s[3])/3 - (32855*s[4])/3 - (2098759*s[5])/264 - 
       (5410657*s[6])/264 - (437726413*s[7])/2376 + (34035889*s[8])/2376 + 
       (33638939*s[9])/216 + (10737169*s[10])/216 + (53547481*s[11])/264 + 
       (21953507*s[12])/99 + (317655857*s[13])/2376 + (6598061*s[14])/264 + 
       (6582488*s[15])/27 + (369452911*s[16])/1188 + (70996988*s[17])/297 + 
       (270913*s[18])/8 + (2978063*s[19])/108 + (145862323*s[20])/396 + 
       (118834187*s[21])/891 - (692012539*s[22])/7128 - 
       (495271075*s[23])/2376 - (1445180707*s[24])/7128 + 
       (33018473255*s[25])/128304 - (18160292435*s[26])/128304 - 72*s[29] + 
       (38*s[30])/3 - (344*s[31])/3 + (185*s[32])/6 + (451*s[33])/12 + 
       (109*s[34])/3 + (289*s[35])/3 + (2839*s[36])/9 - (4549*s[37])/12 - 
       (19532*s[38])/3 + (297395*s[39])/12 - (1014721*s[40])/36 + 
       (89063*s[41])/4 - (637063*s[42])/18 - (8979755*s[43])/396 + 
       (18863431*s[44])/792 - (6803287*s[45])/264 + (158686009*s[46])/792 - 
       (17446877*s[47])/2376 - (14334251*s[48])/2376 + 
       (244757669*s[49])/2376 - (61186199*s[50])/396 - 
       (59208577*s[51])/2376 - (47193301*s[52])/2376 + 
       (250238843*s[53])/2376 - (347423*s[54])/198 + (533094149*s[55])/792 + 
       (423531989*s[56])/2376 - (623532097*s[57])/3564 + 
       (3329238059*s[58])/10692 - (6699504445*s[59])/21384 - 
       (11848384165*s[60])/7128 + (33482198921*s[61])/384912 - 30*s[62] - 
       84*s[63] - (5*s[64])/2 - (65*s[65])/6 - (28*s[66])/3 + (20*s[67])/3 - 
       (268*s[68])/3 + (164*s[69])/3 - (529*s[70])/3 + (91*s[71])/3 - 
       (32*s[72])/3 + (136*s[73])/3 + (539*s[74])/6 - (235*s[75])/3 + 
       36*s[76] + (316*s[77])/3 + (38*s[78])/3 - 2736*s[79] + 
       (3937*s[80])/6 + s[81] - 3710*s[82] + 70*s[83] - 1302*s[84] - 
       1112*s[85] - 36*s[86]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 
       1 - v]*((-2273*s[2])/12 - (4029*s[3])/8 - (178155*s[4])/16 - 
       (1008563*s[5])/132 - (10828579*s[6])/528 - (1743743665*s[7])/9504 + 
       (205513225*s[8])/14256 + (100422661*s[9])/648 + (31983467*s[10])/648 + 
       (1921059523*s[11])/9504 + (65674723*s[12])/297 + 
       (423477259*s[13])/3168 + (226219639*s[14])/9504 + 
       (69896569*s[15])/288 + (245270033*s[16])/792 + 
       (2258110937*s[17])/9504 + (64578989*s[18])/1944 + 
       (108214199*s[19])/3888 + (15632132819*s[20])/42768 + 
       (11283502825*s[21])/85536 - (8268056261*s[22])/85536 - 
       (20736676*s[23])/99 - (4315836803*s[24])/21384 + 
       (6185605892*s[25])/24057 - (6777804367*s[26])/48114 - 84*s[29] - 
       (7*s[30])/6 - (386*s[31])/3 + (49*s[32])/6 - (259*s[33])/12 + 
       (109*s[34])/6 + (589*s[35])/6 + (6203*s[36])/18 - (3545*s[37])/9 - 
       (19234*s[38])/3 + (74755*s[39])/3 - (512111*s[40])/18 + 
       (67499*s[41])/3 - (322064*s[42])/9 - (2264909*s[43])/99 + 
       (38193689*s[44])/1584 - (10094459*s[45])/396 + (79514107*s[46])/396 - 
       (34675279*s[47])/4752 - (27831079*s[48])/4752 + 
       (493446385*s[49])/4752 - (30720385*s[50])/198 - 
       (118627007*s[51])/4752 - (94273769*s[52])/4752 + 
       (250712149*s[53])/2376 - (598877*s[54])/396 + (1067881025*s[55])/
        1584 + (282530617*s[56])/1584 - (420312151*s[57])/2376 + 
       (494564915*s[58])/1584 - (1494859237*s[59])/4752 - 
       (47530315531*s[60])/28512 + (2779032695*s[61])/32076 - 30*s[62] - 
       118*s[63] - (5*s[64])/2 - (22*s[65])/3 - (28*s[66])/3 + (5*s[67])/3 - 
       (268*s[68])/3 + (200*s[69])/3 - (508*s[70])/3 + (161*s[71])/6 - 
       (115*s[72])/3 + 73*s[73] + (349*s[74])/4 - (303*s[75])/4 + 
       (236*s[76])/3 + (673*s[77])/6 - (37*s[78])/3 - (8972*s[79])/3 + 
       (6665*s[80])/9 + s[81] - 3710*s[82] + 70*s[83] - 1302*s[84] - 
       1112*s[85] - 36*s[86]) + HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - v]*
      (-17*s[2] - (329*s[3])/2 - (2401*s[4])/4 - (3177*s[5])/2 - 
       (8007*s[6])/4 - (434167*s[7])/24 + (134899*s[8])/108 + 
       (836225*s[9])/54 + (284383*s[10])/54 + (1341223*s[11])/72 + 
       (165922*s[12])/9 + (727321*s[13])/72 + (378649*s[14])/72 + 
       (1983841*s[15])/72 + (568933*s[16])/18 + (2101513*s[17])/72 + 
       (1282259*s[18])/324 + (838921*s[19])/324 + (12600809*s[20])/324 + 
       (10208353*s[21])/648 - (5949251*s[22])/648 - (143380*s[23])/9 - 
       (3178355*s[24])/162 + (64404743*s[25])/2916 - (41218997*s[26])/2916 + 
       40*s[29] + 2*s[30] + 24*s[31] - s[32]/2 + 10*s[33] + 54*s[34] + 
       21*s[35] + (128*s[36])/3 - (1649*s[37])/12 - (657*s[38])/2 + 
       (3597*s[39])/2 - (9817*s[40])/6 + (4719*s[41])/4 - (30871*s[42])/12 - 
       (88073*s[43])/66 + (151081*s[44])/132 - (769441*s[45])/264 + 
       (1564513*s[46])/88 - (105587*s[47])/99 + (133960*s[48])/99 + 
       (1141183*s[49])/198 - (443989*s[50])/33 - (677953*s[51])/396 - 
       (537349*s[52])/396 + (988589*s[53])/88 - (87301*s[54])/44 + 
       (9152567*s[55])/132 + (7062901*s[56])/396 - (2253437*s[57])/594 + 
       (177297973*s[58])/7128 - (47967295*s[59])/1782 - 
       (635761195*s[60])/4752 + (1225301879*s[61])/128304 + (55*s[62])/2 - 
       80*s[63] + 4*s[64] + 4*s[65] - 22*s[68] + 24*s[69] + 104*s[70] - 
       (17*s[71])/2 - 44*s[72] - 34*s[73] + (25*s[74])/2 - 28*s[75] + 
       2*s[76] - 152*s[77] - 50*s[78] + 448*s[79] - (605*s[80])/6 - 
       (2*s[81])/3 + 144*s[82] - 93*s[83] + 174*s[84] - 24*s[86]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((-813*s[2])/8 - (4575*s[3])/16 - (171721*s[4])/32 - 
       (673083*s[5])/176 - (3453649*s[6])/352 - (561040441*s[7])/6336 + 
       (22204933*s[8])/3168 + (2690809*s[9])/36 + (1701115*s[10])/72 + 
       (205982393*s[11])/2112 + (28194763*s[12])/264 + 
       (407511353*s[13])/6336 + (24108509*s[14])/2112 + 
       (67486831*s[15])/576 + (236614925*s[16])/1584 + 
       (725749165*s[17])/6336 + (1761409*s[18])/108 + (11414389*s[19])/864 + 
       (1677270493*s[20])/9504 + (404570021*s[21])/6336 - 
       (885886775*s[22])/19008 - (161664337*s[23])/1584 - 
       (230727037*s[24])/2376 + (3535782683*s[25])/28512 - 
       (1940471843*s[26])/28512 - 24*s[29] + (13*s[30])/4 - 47*s[31] + 
       (59*s[32])/4 + (61*s[33])/8 + (99*s[34])/4 + (189*s[35])/4 + 
       (2041*s[36])/12 - 223*s[37] - 3163*s[38] + (97083*s[39])/8 - 
       (328907*s[40])/24 + (86253*s[41])/8 - (208649*s[42])/12 - 
       (2881579*s[43])/264 + (12145963*s[44])/1056 - (1079173*s[45])/88 + 
       (6351229*s[46])/66 - (12012329*s[47])/3168 - (7748333*s[48])/3168 + 
       (157173299*s[49])/3168 - (9772067*s[50])/132 - (38569945*s[51])/3168 - 
       (30884407*s[52])/3168 + (80154343*s[53])/1584 - (340061*s[54])/264 + 
       (340384603*s[55])/1056 + (270801425*s[56])/3168 - 
       (416574943*s[57])/4752 + (4290835603*s[58])/28512 - 
       (4319532355*s[59])/28512 - (15107249657*s[60])/19008 + 
       (5340719027*s[61])/128304 - (41*s[62])/4 - 27*s[63] - s[64] - 
       3*s[65] - (9*s[67])/2 - 44*s[68] + 18*s[69] - 61*s[70] + 
       (47*s[71])/4 - (25*s[72])/2 + (59*s[73])/2 + (385*s[74])/8 - 
       (343*s[75])/8 + 24*s[76] + (97*s[77])/4 - (19*s[78])/2 - 1256*s[79] + 
       (591*s[80])/2 + s[81]/3 - 1555*s[82] + 27*s[83] - 606*s[84] - 
       452*s[85] - 12*s[86]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((-701*s[2])/8 - (4591*s[3])/16 - (175465*s[4])/32 - (59265*s[5])/16 - 
       (316779*s[6])/32 - (51018107*s[7])/576 + (2035783*s[8])/288 + 
       (2689223*s[9])/36 + (1696043*s[10])/72 + (6248481*s[11])/64 + 
       (2566909*s[12])/24 + (37230211*s[13])/576 + (700677*s[14])/64 + 
       (67468927*s[15])/576 + (21511693*s[16])/144 + (65873375*s[17])/576 + 
       (32153*s[18])/2 + (3855455*s[19])/288 + (16884311*s[20])/96 + 
       (109703765*s[21])/1728 - (80524877*s[22])/1728 - 
       (14811341*s[23])/144 - (5242033*s[24])/54 + (967635967*s[25])/7776 - 
       (529329991*s[26])/7776 - 28*s[29] - (15*s[30])/4 - 53*s[31] + 
       (13*s[32])/4 - (171*s[33])/8 + (71*s[34])/4 + (207*s[35])/4 + 
       (2131*s[36])/12 - (2657*s[37])/12 - 3143*s[38] + (98059*s[39])/8 - 
       (333131*s[40])/24 + (87437*s[41])/8 - (211589*s[42])/12 - 
       (2925715*s[43])/264 + (12338119*s[44])/1056 - (1611491*s[45])/132 + 
       (25595897*s[46])/264 - (11967773*s[47])/3168 - (7627745*s[48])/3168 + 
       (159361247*s[49])/3168 - (4927753*s[50])/66 - (38714989*s[51])/3168 - 
       (30952939*s[52])/3168 + (80708201*s[53])/1584 - (298501*s[54])/264 + 
       (114237573*s[55])/352 + (90789503*s[56])/1056 - 
       (140622869*s[57])/1584 + (160127905*s[58])/1056 - 
       (484331783*s[59])/3168 - (15228873497*s[60])/19008 + 
       (890916913*s[61])/21384 - (39*s[62])/4 - 39*s[63] - s[64] - 
       (3*s[65])/2 - (13*s[67])/2 - 44*s[68] + 22*s[69] - 58*s[70] + 
       (43*s[71])/4 - (53*s[72])/2 + (83*s[73])/2 + (377*s[74])/8 - 
       (339*s[75])/8 + 46*s[76] + (113*s[77])/4 - (51*s[78])/2 - 1364*s[79] + 
       (983*s[80])/3 + s[81]/3 - 1555*s[82] + 27*s[83] - 606*s[84] - 
       452*s[85] - 12*s[86]) + HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((-29*s[2])/4 + (233*s[3])/8 + (4663*s[4])/16 + (8133*s[5])/22 + 
       (95517*s[6])/176 + (18551707*s[7])/3168 - (906577*s[8])/1584 - 
       (357175*s[9])/72 - (88457*s[10])/72 - (6982991*s[11])/1056 - 
       (1978715*s[12])/264 - (14168171*s[13])/3168 - (97631*s[14])/1056 - 
       (2208673*s[15])/288 - (7632371*s[16])/792 - (21896911*s[17])/3168 - 
       (214087*s[18])/216 - (437719*s[19])/432 - (52519807*s[20])/4752 - 
       (12965219*s[21])/3168 + (28981133*s[22])/9504 + (6262417*s[23])/792 + 
       (3834659*s[24])/594 - (30941849*s[25])/3564 + (8357779*s[26])/1782 - 
       12*s[29] + (5*s[30])/2 - 18*s[31] - (75*s[33])/2 - s[34]/2 - 
       (63*s[35])/2 - (415*s[36])/6 + (721*s[37])/6 + 334*s[38] - 
       (4711*s[39])/4 + (13871*s[40])/12 - (2935*s[41])/4 + (9647*s[42])/6 + 
       (115003*s[43])/132 - (480025*s[44])/528 + (90599*s[45])/132 - 
       (69119*s[46])/11 + (789671*s[47])/1584 - (530461*s[48])/1584 - 
       (6250517*s[49])/1584 + (290981*s[50])/66 + (1410751*s[51])/1584 + 
       (1477717*s[52])/1584 - (840791*s[53])/264 + (23291*s[54])/44 - 
       (10147429*s[55])/528 - (7807975*s[56])/1584 + (26081549*s[57])/2376 - 
       (160099613*s[58])/14256 + (166510997*s[59])/14256 + 
       (455975879*s[60])/9504 - (150719749*s[61])/64152 - (11*s[62])/2 - 
       8*s[63] - s[64] - 4*s[65] - 6*s[66] + 10*s[67] + 7*s[68] - 32*s[70] + 
       (17*s[71])/2 + 11*s[72] - 23*s[73] - (11*s[74])/4 + (5*s[75])/4 + 
       5*s[76] + (107*s[77])/2 + 13*s[78] - 52*s[79] - (83*s[80])/3 + 
       s[81]/3 - 258*s[82] + 6*s[83] - 66*s[84] - 120*s[85] - 12*s[86]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
      (-25*s[2] + (255*s[3])/4 + (4053*s[4])/8 + (38385*s[5])/88 + 
       (8742*s[6])/11 + (1395575*s[7])/176 - (301067*s[8])/396 - 
       (475307*s[9])/72 - (123787*s[10])/72 - (4720021*s[11])/528 - 
       (2671051*s[12])/264 - (3240445*s[13])/528 - (89251*s[14])/528 - 
       (163679*s[15])/16 - (1714165*s[16])/132 - (4883389*s[17])/528 - 
       (310825*s[18])/216 - (275861*s[19])/216 - (35537453*s[20])/2376 - 
       (26256055*s[21])/4752 + (19569905*s[22])/4752 + (699307*s[23])/66 + 
       (10073561*s[24])/1188 - (501356269*s[25])/42768 + 
       (270545185*s[26])/42768 - 30*s[29] + 2*s[30] - 10*s[31] + 
       (11*s[32])/2 - (49*s[33])/4 - 18*s[34] - 35*s[35] - (169*s[36])/2 + 
       (1105*s[37])/12 + 433*s[38] - (12155*s[39])/8 + (12015*s[40])/8 - 
       (8063*s[41])/8 + (16515*s[42])/8 + (103837*s[43])/88 - 
       (208557*s[44])/176 + (270575*s[45])/264 - (1160497*s[46])/132 + 
       (113089*s[47])/176 - (54001*s[48])/176 - (943123*s[49])/176 + 
       (68224*s[50])/11 + (627317*s[51])/528 + (213529*s[52])/176 - 
       (888091*s[53])/198 + (13028*s[54])/33 - (4815491*s[55])/176 - 
       (11017837*s[56])/1584 + (15879295*s[57])/1188 - 
       (216548369*s[58])/14256 + (223259705*s[59])/14256 + 
       (214675469*s[60])/3168 - (109134761*s[61])/32076 - 7*s[62] - 
       40*s[63] - s[64] - 3*s[65] - 6*s[66] + 6*s[67] + 9*s[68] + 12*s[69] - 
       45*s[70] + 6*s[71] + 10*s[72] - 6*s[74] + 6*s[75] - 4*s[76] + 
       53*s[77] + 64*s[78] - 92*s[79] + (157*s[80])/6 + s[81]/3 - 258*s[82] + 
       6*s[83] - 66*s[84] - 120*s[85] - 12*s[86]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((959*s[2])/36 - (239*s[3])/72 + (39229*s[4])/144 + (56665*s[5])/198 + 
       (120723*s[6])/176 + (80504291*s[7])/14256 - (6423061*s[8])/21384 - 
       (19071643*s[9])/3888 - (6548315*s[10])/3888 - (173421623*s[11])/
        28512 - (91039037*s[12])/14256 - (111686779*s[13])/28512 - 
       (38703815*s[14])/28512 - (4995215*s[15])/648 - 
       (274320757*s[16])/28512 - (24996107*s[17])/3168 - 
       (13075955*s[18])/11664 - (8395945*s[19])/11664 - 
       (755205125*s[20])/64152 - (1154697065*s[21])/256608 + 
       (771174463*s[22])/256608 + (153179615*s[23])/28512 + 
       (1598583475*s[24])/256608 - (17149008791*s[25])/2309472 + 
       (10155009107*s[26])/2309472 + 15*s[29] - (8*s[30])/3 + (116*s[31])/9 + 
       s[32] + (89*s[33])/24 - (28*s[34])/3 + (95*s[35])/6 - 
       (1855*s[36])/108 + (955*s[37])/108 + (2429*s[38])/12 - 
       (35227*s[39])/48 + (378175*s[40])/432 - (107203*s[41])/144 + 
       (464285*s[42])/432 + (3631613*s[43])/4752 - (3450599*s[44])/4752 + 
       (521189*s[45])/594 - (3473387*s[46])/528 + (2784877*s[47])/14256 + 
       (2218775*s[48])/7128 - (44936803*s[49])/14256 + (6049943*s[50])/1188 + 
       (5948341*s[51])/7128 + (4610053*s[52])/7128 - (16475861*s[53])/4752 + 
       (172253*s[54])/792 - (35512379*s[55])/1584 - (87321107*s[56])/14256 + 
       (103005523*s[57])/21384 - (322551547*s[58])/32076 + 
       (1293572557*s[59])/128304 + (4719929971*s[60])/85536 - 
       (6832528865*s[61])/2309472 + (19*s[62])/6 - (40*s[63])/3 + s[64]/3 + 
       (7*s[65])/9 - (20*s[66])/9 - (2*s[67])/9 - (53*s[68])/9 + 
       (46*s[69])/9 + (226*s[70])/9 - (89*s[71])/18 - (13*s[72])/3 - 
       (7*s[73])/18 + s[74]/36 + (5*s[75])/36 - (25*s[76])/9 - 
       (169*s[77])/6 - (97*s[78])/18 + (1075*s[79])/9 - (124*s[80])/27 - 
       s[81]/6 - 42*s[82] - (71*s[83])/6 + 35*s[84] + (124*s[85])/3 - 
       6*s[86]) + HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v]*
      ((115*s[2])/9 + (169*s[3])/18 + (31039*s[4])/144 + (598135*s[5])/1584 + 
       (1102897*s[6])/1584 + (174104687*s[7])/28512 - (4436785*s[8])/14256 - 
       (6834107*s[9])/1296 - (2582671*s[10])/1296 - (20629141*s[11])/3168 - 
       (63575597*s[12])/9504 - (14021951*s[13])/3564 - (940801*s[14])/528 - 
       (22357601*s[15])/2592 - (304720819*s[16])/28512 - 
       (262163003*s[17])/28512 - (805003*s[18])/648 - (588343*s[19])/648 - 
       (11761186*s[20])/891 - (110517731*s[21])/21384 + 
       (137823397*s[22])/42768 + (4382746*s[23])/891 + 
       (293815807*s[24])/42768 - (5961132317*s[25])/769824 + 
       (3678565565*s[26])/769824 + 9*s[29] - (31*s[30])/9 - s[31]/18 - 
       (14*s[32])/9 - (2237*s[33])/144 + (73*s[34])/36 + (119*s[35])/18 - 
       (409*s[36])/54 - (21*s[37])/4 + (10055*s[38])/72 - (77155*s[39])/144 + 
       (274145*s[40])/432 - (12211*s[41])/24 + (329779*s[42])/432 + 
       (212009*s[43])/432 - (469717*s[44])/864 + (99817*s[45])/144 - 
       (1043611*s[46])/216 + (415385*s[47])/2592 + (441671*s[48])/2592 - 
       (5964053*s[49])/2592 + (1643513*s[50])/432 + (1433995*s[51])/2592 + 
       (1084807*s[52])/2592 - (3392143*s[53])/1296 - (76829*s[54])/432 - 
       (14696663*s[55])/864 - (11325575*s[56])/2592 + (1554275*s[57])/486 - 
       (170168413*s[58])/23328 + (172808329*s[59])/23328 + 
       (628881569*s[60])/15552 - (461913997*s[61])/209952 + (11*s[62])/8 - 
       3*s[63] + (3*s[64])/8 + (91*s[65])/72 - (35*s[66])/18 - 
       (11*s[67])/18 - (28*s[68])/9 + (26*s[69])/9 + (164*s[70])/9 - 
       (253*s[71])/72 + (17*s[72])/18 + (25*s[73])/9 - (295*s[74])/72 + 
       (331*s[75])/72 + (25*s[76])/3 - (983*s[77])/36 + (115*s[78])/18 + 
       82*s[79] - (593*s[80])/36 - s[81]/12 + 21*s[82] - (25*s[83])/6 + 
       28*s[84] + (38*s[85])/3 - 3*s[86]) + HPL[{0, 1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - v]*((2363*s[2])/72 - (481*s[3])/16 + 
       (19445*s[4])/32 + (345251*s[5])/792 + (3387865*s[6])/3168 + 
       (532060393*s[7])/57024 - (67366921*s[8])/85536 - 
       (30932641*s[9])/3888 - (528053*s[10])/243 - (589207291*s[11])/57024 - 
       (325955995*s[12])/28512 - (132434801*s[13])/19008 - 
       (47757097*s[14])/57024 - (2314177*s[15])/192 - (49025143*s[16])/3168 - 
       (656024969*s[17])/57024 - (21752915*s[18])/11664 - 
       (23251745*s[19])/23328 - (4648863455*s[20])/256608 - 
       (3458211415*s[21])/513216 + (2545608359*s[22])/513216 + 
       (61279087*s[23])/4752 + (1214901179*s[24])/128304 - 
       (30494334521*s[25])/2309472 + (16816079567*s[26])/2309472 + 5*s[29] + 
       s[30]/9 + (365*s[31])/18 - (58*s[32])/9 + (1009*s[33])/72 - 
       (955*s[34])/36 + (197*s[35])/36 - (3055*s[36])/54 + (4513*s[37])/108 + 
       (3956*s[38])/9 - (132757*s[39])/72 + (441781*s[40])/216 - 
       (57619*s[41])/36 + (1183477*s[42])/432 + (3465773*s[43])/2376 - 
       (15465995*s[44])/9504 + (3395789*s[45])/2376 - (7404799*s[46])/594 + 
       (22765645*s[47])/28512 - (5087543*s[48])/28512 - 
       (189581197*s[49])/28512 + (11287147*s[50])/1188 + 
       (53839163*s[51])/28512 + (43241975*s[52])/28512 - 
       (92900011*s[53])/14256 + (85168*s[54])/297 - (384634043*s[55])/9504 - 
       (3832883*s[56])/352 + (116287867*s[57])/7128 - 
       (1772345161*s[58])/85536 + (1788716191*s[59])/85536 + 
       (16989830347*s[60])/171072 - (1332673865*s[61])/256608 + 
       (11*s[62])/8 - 10*s[63] + (3*s[64])/8 - (79*s[65])/36 - 
       (131*s[66])/18 + (95*s[67])/9 + (20*s[68])/9 + (170*s[69])/9 + 
       (65*s[70])/9 - (7*s[71])/18 + (235*s[72])/18 - (91*s[73])/6 - 
       (299*s[74])/24 + (311*s[75])/24 - (293*s[76])/18 - (757*s[77])/36 + 
       (233*s[78])/9 + (1585*s[79])/9 - (697*s[80])/27 - s[81]/12 - 
       79*s[82] - (5*s[83])/3 + 73*s[84] + (38*s[85])/3 - 3*s[86]) + 
     HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]*(43*s[2] + (2921*s[3])/24 + 
       (40317*s[4])/16 + (40321*s[5])/24 + (212989*s[6])/48 + 
       (3870421*s[7])/96 - (4331699*s[8])/1296 - (22009117*s[9])/648 - 
       (6831527*s[10])/648 - (38441465*s[11])/864 - (10581343*s[12])/216 - 
       (25488431*s[13])/864 - (4049285*s[14])/864 - (45816845*s[15])/864 - 
       (29292841*s[16])/432 - (44367827*s[17])/864 - (14561465*s[18])/1944 - 
       (22624733*s[19])/3888 - (310902457*s[20])/3888 - 
       (224417531*s[21])/7776 + (164998651*s[22])/7776 + 
       (20734361*s[23])/432 + (170379707*s[24])/3888 - 
       (248403377*s[25])/4374 + (135845363*s[26])/4374 + 8*s[29] + 
       (31*s[30])/6 + (43*s[31])/3 + s[32] + (97*s[33])/12 - 14*s[34] - 
       (49*s[35])/6 - (2801*s[36])/36 + (1559*s[37])/12 + (17593*s[38])/12 - 
       (276227*s[39])/48 + (933413*s[40])/144 - (80847*s[41])/16 + 
       (1189435*s[42])/144 + (8158303*s[43])/1584 - (17277677*s[44])/3168 + 
       (190541*s[45])/33 - (71992033*s[46])/1584 + (17173627*s[47])/9504 + 
       (9597025*s[48])/9504 - (222434569*s[49])/9504 + (6907601*s[50])/198 + 
       (53791565*s[51])/9504 + (43541759*s[52])/9504 - 
       (113708627*s[53])/4752 + (437803*s[54])/792 - (161109713*s[55])/1056 - 
       (384261523*s[56])/9504 + (298903807*s[57])/7128 - 
       (6095058737*s[58])/85536 + (6150795575*s[59])/85536 + 
       (21331699135*s[60])/57024 - (15097633619*s[61])/769824 + (7*s[62])/2 - 
       10*s[63] + s[64]/2 + (7*s[65])/6 + (25*s[66])/6 - (17*s[67])/3 - 
       (14*s[68])/3 - (79*s[69])/6 + (137*s[70])/6 - (47*s[71])/12 + 
       (43*s[72])/3 - (17*s[73])/3 - 22*s[74] + (41*s[75])/2 - 
       (215*s[76])/6 - (80*s[77])/3 + (19*s[78])/3 + 594*s[79] - 
       (839*s[80])/6 - s[81]/12 + 708*s[82] - (25*s[83])/2 + 265*s[84] + 
       196*s[85] - 3*s[86]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*((191*s[2])/4 + (6413*s[3])/72 + 
       (34467*s[4])/16 + (122869*s[5])/72 + (606859*s[6])/144 + 
       (1810499*s[7])/48 - (2783375*s[8])/972 - (124201391*s[9])/3888 - 
       (40405243*s[10])/3888 - (26805293*s[11])/648 - (29110609*s[12])/648 - 
       (8728897*s[13])/324 - (3731513*s[14])/648 - (65167507*s[15])/1296 - 
       (41430071*s[16])/648 - (8075357*s[17])/162 - (81642343*s[18])/11664 - 
       (65808071*s[19])/11664 - (221870803*s[20])/2916 - 
       (323880745*s[21])/11664 + (28976491*s[22])/1458 + 
       (53553479*s[23])/1296 + (484921235*s[24])/11664 - 
       (5473706077*s[25])/104976 + (1522051061*s[26])/52488 + 13*s[29] - 
       (71*s[30])/18 + (148*s[31])/9 - (40*s[32])/3 - (181*s[33])/72 - 
       8*s[34] + (191*s[35])/18 - (2791*s[36])/54 + (529*s[37])/8 + 
       (44905*s[38])/36 - (43691*s[39])/9 + (298021*s[40])/54 - 
       (35045*s[41])/8 + (1503191*s[42])/216 + (240295*s[43])/54 - 
       (4052623*s[44])/864 + (83951*s[45])/16 - (17397887*s[46])/432 + 
       (3729005*s[47])/2592 + (3142661*s[48])/2592 - (52648295*s[49])/2592 + 
       (3361241*s[50])/108 + (12711805*s[51])/2592 + (10029655*s[52])/2592 - 
       (27640357*s[53])/1296 + (32317*s[54])/108 - (13093639*s[55])/96 - 
       (93431693*s[56])/2592 + (128654521*s[57])/3888 - 
       (1448127211*s[58])/23328 + (1457814775*s[59])/23328 + 
       (5191946027*s[60])/15552 - (926861779*s[61])/52488 + 5*s[62] + 
       14*s[63] + s[64]/2 + (14*s[65])/9 + (2*s[66])/9 + (10*s[67])/9 + 
       (127*s[68])/9 - (62*s[69])/9 + (301*s[70])/9 - (209*s[71])/36 + 
       (49*s[72])/9 - (101*s[73])/9 - (239*s[74])/12 + (221*s[75])/12 - 
       (79*s[76])/9 - (505*s[77])/18 - (98*s[78])/9 + (1561*s[79])/3 - 
       (4523*s[80])/36 - s[81]/6 + 857*s[82] - (32*s[83])/3 + (844*s[84])/3 + 
       (742*s[85])/3 + 6*s[86]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((595*s[2])/12 + (7163*s[3])/72 + 
       (130001*s[4])/48 + (173452*s[5])/99 + (7470911*s[6])/1584 + 
       (33812653*s[7])/792 - (74031719*s[8])/21384 - (140175275*s[9])/3888 - 
       (43679389*s[10])/3888 - (167414129*s[11])/3564 - 
       (183602755*s[12])/3564 - (55267771*s[13])/1782 - 
       (36740647*s[14])/7128 - (36551381*s[15])/648 - 
       (1024503047*s[16])/14256 - (48861917*s[17])/891 - 
       (92247583*s[18])/11664 - (71642645*s[19])/11664 - 
       (5441681275*s[20])/64152 - (3919753403*s[21])/128304 + 
       (1442962853*s[22])/64152 + (90368441*s[23])/1782 + 
       (371138758*s[24])/8019 - (17289768425*s[25])/288684 + 
       (37805215097*s[26])/1154736 + 19*s[29] + (50*s[30])/9 + 
       (235*s[31])/9 - (3*s[32])/2 + (301*s[33])/9 - (121*s[34])/6 + 
       (119*s[35])/18 - (7673*s[36])/108 + (6991*s[37])/72 + 
       (26363*s[38])/18 - (839519*s[39])/144 + (2864033*s[40])/432 - 
       (252805*s[41])/48 + (3649789*s[42])/432 + (24996283*s[43])/4752 - 
       (26424631*s[44])/4752 + (9364529*s[45])/1584 - 
       (111126647*s[46])/2376 + (25766723*s[47])/14256 + 
       (7701223*s[48])/7128 - (339035489*s[49])/14256 + 
       (10730473*s[50])/297 + (5260003*s[51])/891 + (4168702*s[52])/891 - 
       (352595819*s[53])/14256 + (203009*s[54])/297 - (15608452*s[55])/99 - 
       (596812475*s[56])/14256 + (1784514227*s[57])/42768 - 
       (9352067971*s[58])/128304 + (4716060293*s[59])/64152 + 
       (1031298277*s[60])/2673 - (46750126481*s[61])/2309472 + 5*s[62] + 
       20*s[63] + s[64]/2 + (17*s[65])/9 + (32*s[66])/9 - (41*s[67])/9 + 
       (79*s[68])/9 - (188*s[69])/9 + (199*s[70])/9 - (269*s[71])/36 + 
       (133*s[72])/9 - (145*s[73])/18 - (289*s[74])/12 + (271*s[75])/12 - 
       (286*s[76])/9 - (355*s[77])/18 + (35*s[78])/18 + (2090*s[79])/3 - 
       (5491*s[80])/36 - s[81]/6 + 707*s[82] - (79*s[83])/6 + (949*s[84])/3 + 
       (742*s[85])/3 + 6*s[86]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 0, 1}, 1 - v]*((-217*s[2])/2 - (809*s[3])/4 - 
       (25239*s[4])/4 - (359675*s[5])/88 - (976515*s[6])/88 - 
       (159855019*s[7])/1584 + (19824473*s[8])/2376 + (4597063*s[9])/54 + 
       (5673239*s[10])/216 + (176897669*s[11])/1584 + (97691993*s[12])/792 + 
       (118121725*s[13])/1584 + (17755121*s[14])/1584 + 
       (18997109*s[15])/144 + (16772197*s[16])/99 + (67178213*s[17])/528 + 
       (1503862*s[18])/81 + (9429565*s[19])/648 + (1422340405*s[20])/7128 + 
       (1023993029*s[21])/14256 - (759191599*s[22])/14256 - 
       (47792777*s[23])/396 - (391152631*s[24])/3564 + 
       (4580199521*s[25])/32076 - (623682416*s[26])/8019 - 20*s[29] - 
       (29*s[30])/2 - 51*s[31] + 4*s[32] - (111*s[33])/8 + (73*s[34])/2 + 
       56*s[35] + (471*s[36])/2 - (982*s[37])/3 - 3766*s[38] + 
       (117533*s[39])/8 - (132689*s[40])/8 + (103449*s[41])/8 - 
       (168841*s[42])/8 - (1148819*s[43])/88 + (2455685*s[44])/176 - 
       (461974*s[45])/33 + (29798507*s[46])/264 - (2431849*s[47])/528 - 
       (1384759*s[48])/528 + (31411243*s[49])/528 - (952383*s[50])/11 - 
       (7630807*s[51])/528 - (6201143*s[52])/528 + (46596487*s[53])/792 - 
       (37967*s[54])/33 + (197849191*s[55])/528 + (157563811*s[56])/1584 - 
       (33154162*s[57])/297 + (2548319021*s[58])/14256 - 
       (2565589463*s[59])/14256 - (982161503*s[60])/1056 + 
       (6150670157*s[61])/128304 - 14*s[62] + 40*s[63] - 2*s[64] - 3*s[65] - 
       4*s[66] + 5*s[67] + 6*s[68] + 12*s[69] - 69*s[70] + (21*s[71])/2 - 
       32*s[72] + 32*s[73] + (117*s[74])/2 - (101*s[75])/2 + 91*s[76] + 
       90*s[77] - 40*s[78] - 1636*s[79] + (1114*s[80])/3 + s[81]/3 - 
       1600*s[82] + 51*s[83] - 708*s[84] - 440*s[85] + 12*s[86]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*
      (-70*s[2] - (333*s[3])/2 - (9701*s[4])/4 - (14702*s[5])/11 - 
       (177191*s[6])/44 - (9835039*s[7])/264 + (3490943*s[8])/1188 + 
       (1690001*s[9])/54 + (548893*s[10])/54 + (32744039*s[11])/792 + 
       (4528364*s[12])/99 + (21859661*s[13])/792 + (3358847*s[14])/792 + 
       (3472171*s[15])/72 + (12437999*s[16])/198 + (37153913*s[17])/792 + 
       (558401*s[18])/81 + (1831765*s[19])/324 + (264237793*s[20])/3564 + 
       (187752797*s[21])/7128 - (140267581*s[22])/7128 - 
       (8545501*s[23])/198 - (36481793*s[24])/891 + (1691821855*s[25])/
        32076 - (913506175*s[26])/32076 - 32*s[29] - 28*s[31] - 14*s[32] - 
       35*s[33] + 2*s[34] - 30*s[35] + (149*s[36])/3 + 9*s[37] - 1339*s[38] + 
       (20611*s[39])/4 - (72005*s[40])/12 + (19317*s[41])/4 - 
       (88159*s[42])/12 - (57461*s[43])/12 + (124861*s[44])/24 - 5282*s[45] + 
       (501971*s[46])/12 - (98855*s[47])/72 - (127337*s[48])/72 + 
       (1615037*s[49])/72 - (97931*s[50])/3 - (376357*s[51])/72 - 
       (295939*s[52])/72 + (774115*s[53])/36 + (5485*s[54])/6 + 
       (3327367*s[55])/24 + (2615807*s[56])/72 - (1010740*s[57])/27 + 
       (42131209*s[58])/648 - (42059083*s[59])/648 - (151904987*s[60])/432 + 
       (103994689*s[61])/5832 - 14*s[62] + 40*s[63] - 2*s[64] + 4*s[66] - 
       4*s[67] + 16*s[68] - 16*s[69] - 98*s[70] + 3*s[71] + 4*s[72] + 
       28*s[73] + 20*s[74] - 14*s[75] + 26*s[76] + 138*s[77] + 28*s[78] - 
       704*s[79] + 198*s[80] + s[81]/3 - 1608*s[82] + 36*s[83] - 312*s[84] - 
       384*s[85] + 12*s[86]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*((-107*s[2])/4 + (105*s[3])/8 + (6103*s[4])/16 - 
       (17753*s[5])/88 + (27107*s[6])/176 + (5230339*s[7])/3168 - 
       (2002049*s[8])/4752 - (120133*s[9])/108 - (1721*s[10])/27 - 
       (6799241*s[11])/3168 - (1228265*s[12])/396 - (6211699*s[13])/3168 + 
       (3667843*s[14])/3168 - (319277*s[15])/288 - (1829929*s[16])/792 - 
       (237037*s[17])/1056 - (6715*s[18])/162 - (513673*s[19])/1296 - 
       (26782201*s[20])/14256 + (4075345*s[21])/28512 + 
       (24102103*s[22])/28512 + (3242555*s[23])/792 + (1552682*s[24])/891 - 
       (454571731*s[25])/128304 + (131115115*s[26])/128304 - 12*s[29] + 
       (17*s[30])/2 - 18*s[31] + 2*s[32] + (9*s[33])/4 + (59*s[34])/2 - 
       (19*s[35])/2 + (119*s[36])/6 - (299*s[37])/12 + (195*s[38])/2 - 
       (1769*s[39])/4 + (6677*s[40])/12 - 458*s[41] + (7645*s[42])/12 + 
       (54025*s[43])/132 - (246661*s[44])/528 + (134375*s[45])/264 - 
       (1061707*s[46])/264 + (128375*s[47])/1584 + (469067*s[48])/1584 - 
       (3063317*s[49])/1584 + (101026*s[50])/33 + (834931*s[51])/1584 + 
       (662257*s[52])/1584 - (753559*s[53])/396 + (13331*s[54])/66 - 
       (6571465*s[55])/528 - (686267*s[56])/176 + (3358957*s[57])/792 - 
       (30893333*s[58])/4752 + (28295543*s[59])/4752 + 
       (316163669*s[60])/9504 - (3030661*s[61])/1584 + 14*s[63] + 4*s[66] - 
       s[67] + 8*s[68] - 3*s[69] - 4*s[70] - s[72] + s[73] - (9*s[74])/4 + 
       (9*s[75])/4 - 6*s[76] + (29*s[77])/2 - 9*s[78] + 78*s[79] - 
       (227*s[80])/6 + 148*s[82] + (9*s[83])/2 + 51*s[84] + 80*s[85] + 
       12*s[86]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*(-8*s[2] - 61*s[3] - (181*s[4])/2 - 
       (7599*s[5])/22 - (9479*s[6])/22 - (2540453*s[7])/792 + 
       (86881*s[8])/297 + (287351*s[9])/108 + (47669*s[10])/54 + 
       (2604595*s[11])/792 + (1279315*s[12])/396 + (1385375*s[13])/792 + 
       (684943*s[14])/792 + (367609*s[15])/72 + (1158263*s[16])/198 + 
       (1465853*s[17])/264 + (65479*s[18])/81 + (110201*s[19])/324 + 
       (24372479*s[20])/3564 + (21920677*s[21])/7128 - 
       (11300921*s[22])/7128 - (828097*s[23])/198 - (11593801*s[24])/3564 + 
       (247337131*s[25])/64152 - (173900731*s[26])/64152 + 4*s[29] - s[30] + 
       (9*s[32])/2 + (51*s[33])/4 - 5*s[34] + 8*s[35] + (377*s[36])/6 - 
       35*s[37] - (217*s[38])/2 + (4811*s[39])/8 - (13637*s[40])/24 + 
       (3053*s[41])/8 - (22555*s[42])/24 - (98551*s[43])/264 + 
       (220937*s[44])/528 - (12919*s[45])/44 + (757663*s[46])/264 - 
       (667231*s[47])/1584 + (883835*s[48])/1584 + (2739925*s[49])/1584 - 
       (135103*s[50])/66 - (773921*s[51])/1584 - (688331*s[52])/1584 + 
       (1460285*s[53])/792 - (20839*s[54])/132 + (5401679*s[55])/528 + 
       (3496543*s[56])/1584 - (2850701*s[57])/594 + (70531817*s[58])/14256 - 
       (82768739*s[59])/14256 - (188149183*s[60])/9504 + 
       (152035781*s[61])/128304 + s[62]/2 + 40*s[63] + 5*s[65] + 12*s[66] - 
       14*s[67] + 6*s[68] - 37*s[69] - 2*s[70] - (11*s[71])/2 - 16*s[72] + 
       10*s[73] + 6*s[74] - (13*s[75])/2 - 7*s[76] + 28*s[77] - 44*s[78] + 
       118*s[79] - 22*s[80] + 148*s[82] + (9*s[83])/2 + 51*s[84] + 80*s[85] + 
       12*s[86]) + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      (-230*s[2] - (2857*s[3])/6 - (56083*s[4])/4 - (579247*s[5])/66 - 
       (3221245*s[6])/132 - (7326358*s[7])/33 + (32859481*s[8])/1782 + 
       (60632509*s[9])/324 + (18670973*s[10])/324 + (584510183*s[11])/2376 + 
       (323475431*s[12])/1188 + (392024987*s[13])/2376 + 
       (56528951*s[14])/2376 + (31222025*s[15])/108 + 
       (884218979*s[16])/2376 + (660744635*s[17])/2376 + 
       (39487703*s[18])/972 + (31270537*s[19])/972 + (1170484543*s[20])/
        2673 + (3358722233*s[21])/21384 - (2505279991*s[22])/21384 - 
       (632650273*s[23])/2376 - (5167299817*s[24])/21384 + 
       (60640570229*s[25])/192456 - (32905474133*s[26])/192456 - 60*s[29] - 
       (70*s[30])/3 - (344*s[31])/3 + s[32] - (37*s[33])/6 + 54*s[34] + 
       (346*s[35])/3 + (4570*s[36])/9 - (2089*s[37])/3 - (25226*s[38])/3 + 
       (97570*s[39])/3 - (331660*s[40])/9 + (57481*s[41])/2 - 
       (419471*s[42])/9 - (262315*s[43])/9 + (2232959*s[44])/72 - 
       (93458*s[45])/3 + (2254111*s[46])/9 - (2168101*s[47])/216 - 
       (1358653*s[48])/216 + (28613587*s[49])/216 - (3459821*s[50])/18 - 
       (6921353*s[51])/216 - (5639759*s[52])/216 + (14056925*s[53])/108 - 
       (19535*s[54])/9 + (19932875*s[55])/24 + (47578789*s[56])/216 - 
       (19973882*s[57])/81 + (770633309*s[58])/1944 - 
       (775294733*s[59])/1944 - (2681225785*s[60])/1296 + 
       (464602451*s[61])/4374 - 42*s[62] + 120*s[63] - 6*s[64] - 
       (31*s[65])/3 - (52*s[66])/3 + (46*s[67])/3 + (58*s[68])/3 + 
       (106*s[69])/3 - (632*s[70])/3 + (79*s[71])/3 - (164*s[72])/3 + 
       (232*s[73])/3 + 118*s[74] - 98*s[75] + (554*s[76])/3 + (790*s[77])/3 - 
       (140*s[78])/3 - 3732*s[79] + (2606*s[80])/3 + s[81] - 3572*s[82] + 
       139*s[83] - 1574*s[84] - 1056*s[85] + 36*s[86]) + 
     HPL[{0, 1, 1, 1, 1}, 1 - v]*((-7154*s[5])/11 - (8696*s[6])/11 - 
       (220225*s[7])/33 + (30950*s[8])/99 + (52852*s[9])/9 + 
       (20192*s[10])/9 + (208915*s[11])/33 + (189833*s[12])/33 + 
       (32368*s[13])/11 + (109636*s[14])/33 + (32339*s[15])/3 + 
       (128421*s[16])/11 + (387209*s[17])/33 + (49214*s[18])/27 + 
       (11362*s[19])/27 + (4637824*s[20])/297 + (2010562*s[21])/297 - 
       (1004114*s[22])/297 - (51904*s[23])/11 - (1984316*s[24])/297 + 
       (18506857*s[25])/2673 - (14423467*s[26])/2673 + 32*s[37] + 34*s[38] + 
       394*s[39] - 396*s[40] + 458*s[41] - 722*s[42] - (3896*s[43])/11 + 
       (2069*s[44])/11 - (12526*s[45])/11 + (73628*s[46])/11 - 
       (1625*s[47])/11 + (5767*s[48])/11 + (14247*s[49])/11 - 
       (58260*s[50])/11 - (13439*s[51])/33 - (4533*s[52])/11 + 
       (49046*s[53])/11 - (15740*s[54])/11 + (964261*s[55])/33 + 
       (83425*s[56])/11 + (43354*s[57])/11 + (89173*s[58])/11 - 
       (99827*s[59])/11 - (3443455*s[60])/66 + (1131901*s[61])/297)*
      \[Zeta][2] + HPL[{0, 1, 1, 1, 1}, 1 - w]*(-280*s[2] + 192*s[3] - 
       498*s[4] - (4728*s[5])/11 - (360*s[6])/11 - (281042*s[7])/33 + 
       (41164*s[8])/99 + (65690*s[9])/9 + (29224*s[10])/9 + 
       (290228*s[11])/33 + (287515*s[12])/33 + (50223*s[13])/11 + 
       (24371*s[14])/33 + (42634*s[15])/3 + (167675*s[16])/11 + 
       (455434*s[17])/33 + (18310*s[18])/27 + (82700*s[19])/27 + 
       (5361926*s[20])/297 + (1819013*s[21])/297 - (1324471*s[22])/297 - 
       (49068*s[23])/11 - (3421900*s[24])/297 + (29004335*s[25])/2673 - 
       (15418979*s[26])/2673 + 16*s[32] + 80*s[37] - 402*s[38] + 774*s[39] - 
       662*s[40] + 818*s[41] - 834*s[42] - (10944*s[43])/11 + 
       (6473*s[44])/11 - (15660*s[45])/11 + (102116*s[46])/11 + 
       (2259*s[47])/11 - (4165*s[48])/11 + (57243*s[49])/11 - 
       (95588*s[50])/11 - (6969*s[51])/11 - (2777*s[52])/11 + 
       (198098*s[53])/33 + (18980*s[54])/11 + (1285729*s[55])/33 + 
       (182527*s[56])/33 + (1223522*s[57])/99 + (2431703*s[58])/297 - 
       (3190457*s[59])/297 - (5856431*s[60])/66 + (9262067*s[61])/2673 - 
       32*s[69] + 96*s[73])*\[Zeta][2] + HPL[{0, 1, 1, 1, 1}, 1 - u]*
      (224*s[3] - 612*s[4] - (4288*s[5])/11 - (2296*s[6])/11 - 
       (1024505*s[7])/99 + (264754*s[8])/297 + (230000*s[9])/27 + 
       (98464*s[10])/27 + (1083215*s[11])/99 + (1111585*s[12])/99 + 
       (75688*s[13])/11 - (12610*s[14])/99 + (48653*s[15])/3 + 
       (602003*s[16])/33 + (1555975*s[17])/99 + (8710*s[18])/81 + 
       (330422*s[19])/81 + (17513534*s[20])/891 + (5320496*s[21])/891 - 
       (4817014*s[22])/891 - (57032*s[23])/11 - (13092304*s[24])/891 + 
       (119275565*s[25])/8019 - (56274593*s[26])/8019 + 48*s[30] - 48*s[35] + 
       (704*s[36])/3 + (136*s[37])/3 - 464*s[38] + 1060*s[39] - 
       (3164*s[40])/3 + 932*s[41] - (3796*s[42])/3 - (50080*s[43])/33 + 
       (30430*s[44])/33 - (54548*s[45])/33 + (123588*s[46])/11 + 
       (18208*s[47])/99 - (56372*s[48])/99 + (690692*s[49])/99 - 
       (339916*s[50])/33 - (70696*s[51])/99 - (57718*s[52])/99 + 
       (246982*s[53])/33 + (22148*s[54])/11 + (1578208*s[55])/33 + 
       (685180*s[56])/99 + (3576824*s[57])/297 + (9635612*s[58])/891 - 
       (13109180*s[59])/891 - (32586292*s[60])/297 + (32290778*s[61])/8019 - 
       16*s[77] - 64*s[79] - (592*s[80])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*(-20*s[2] - (127*s[3])/3 + 
       (511*s[4])/6 + (11795*s[5])/66 + (1945*s[6])/11 + 
       (2686723*s[7])/1188 - (137006*s[8])/891 - (332477*s[9])/162 - 
       (87085*s[10])/162 - (2940715*s[11])/1188 - (804137*s[12])/297 - 
       (653075*s[13])/396 - (359239*s[14])/1188 - (106369*s[15])/36 - 
       (79507*s[16])/22 - (3224267*s[17])/1188 - (245083*s[18])/486 - 
       (88181*s[19])/486 - (23985905*s[20])/5346 - (20027575*s[21])/10692 + 
       (13251743*s[22])/10692 + (294364*s[23])/99 + (5955575*s[24])/2673 - 
       (293508187*s[25])/96228 + (177098479*s[26])/96228 + 4*s[30] - 
       (4*s[31])/3 + (14*s[32])/3 + (2*s[33])/3 + (4*s[34])/3 - 6*s[35] + 
       5*s[36] + (97*s[37])/9 + 136*s[38] - (1829*s[39])/4 + 
       (6019*s[40])/12 - (4783*s[41])/12 + (2457*s[42])/4 + 
       (18603*s[43])/44 - (38865*s[44])/88 + (123203*s[45])/198 - 
       (1674751*s[46])/396 + (73415*s[47])/792 + (85625*s[48])/792 - 
       (1571573*s[49])/792 + (37225*s[50])/11 + (36617*s[51])/88 + 
       (247177*s[52])/792 - (2838227*s[53])/1188 - (9388*s[54])/99 - 
       (12420953*s[55])/792 - (9312533*s[56])/2376 + (1601806*s[57])/891 - 
       (132041935*s[58])/21384 + (138131569*s[59])/21384 + 
       (6372541*s[60])/176 - (368254609*s[61])/192456 - (14*s[68])/3 - 
       2*s[69] - (28*s[76])/3 - 2*s[77] - 6*s[78] + (196*s[79])/3 - 
       (82*s[80])/9)*\[Zeta][2] + M1[w, v, u]*(-10*s[2] - (55*s[3])/3 - 
       (335*s[4])/6 + (1139*s[5])/66 - (1449*s[6])/22 - (494207*s[7])/1188 + 
       (91109*s[8])/1782 + (44821*s[9])/162 + (11362*s[10])/81 + 
       (139025*s[11])/297 + (609379*s[12])/1188 + (127667*s[13])/396 - 
       (30901*s[14])/1188 + (21541*s[15])/36 + (78472*s[16])/99 + 
       (376649*s[17])/594 - (3145*s[18])/486 + (92377*s[19])/486 + 
       (2000693*s[20])/2673 + (1491245*s[21])/10692 - (2060929*s[22])/10692 - 
       (107845*s[23])/396 - (6924409*s[24])/10692 + (16513016*s[25])/24057 - 
       (6476972*s[26])/24057 + 4*s[30] + (2*s[31])/3 + (11*s[32])/3 - 
       s[33]/3 - (2*s[34])/3 + (4*s[36])/3 + (97*s[37])/9 + 25*s[38] - 
       (13*s[39])/2 - (19*s[40])/2 + (47*s[41])/3 - (50*s[42])/3 - 
       (763*s[43])/66 + (3029*s[44])/132 + (14681*s[45])/198 - 
       (18355*s[46])/99 + (619*s[47])/33 - (1633*s[48])/66 + (448*s[49])/11 + 
       (4198*s[50])/33 - (74*s[51])/99 + (1987*s[52])/132 - 
       (48421*s[53])/594 - (7001*s[54])/198 - (80167*s[55])/99 - 
       (87001*s[56])/297 + (401519*s[57])/1782 - (2183719*s[58])/5346 + 
       (1952869*s[59])/5346 + (1938385*s[60])/1188 - (5833279*s[61])/48114 + 
       (4*s[68])/3 - 4*s[69] - (4*s[76])/3 + 4*s[77] - 2*s[78] + 
       (16*s[79])/3 + (44*s[80])/9)*\[Zeta][2] + 
     M1[v, u, w]*(2*s[2] - (241*s[3])/6 - (1061*s[4])/12 - (881*s[5])/66 - 
       (7195*s[6])/44 - (2311511*s[7])/2376 + (356339*s[8])/3564 + 
       (58264*s[9])/81 + (30503*s[10])/81 + (2363183*s[11])/2376 + 
       (287534*s[12])/297 + (141565*s[13])/264 + (619583*s[14])/2376 + 
       (12531*s[15])/8 + (744925*s[16])/396 + (4245961*s[17])/2376 + 
       (62269*s[18])/486 + (274951*s[19])/972 + (21927307*s[20])/10692 + 
       (14734061*s[21])/21384 - (9739909*s[22])/21384 - (30119*s[23])/44 - 
       (13660235*s[24])/10692 + (121324465*s[25])/96228 - 
       (68313079*s[26])/96228 + 4*s[29] + (22*s[31])/3 + (7*s[32])/3 + 
       (34*s[33])/3 - (46*s[34])/3 + (5*s[36])/3 + (155*s[37])/9 + 27*s[38] + 
       (137*s[39])/4 - (277*s[40])/4 + (913*s[41])/12 - (1045*s[42])/12 - 
       (9037*s[43])/132 + (24503*s[44])/264 - (2350*s[45])/99 + 
       (184669*s[46])/396 + (9049*s[47])/264 - (20189*s[48])/264 + 
       (29407*s[49])/88 - (14248*s[50])/33 - (36227*s[51])/792 + 
       (577*s[52])/264 + (396623*s[53])/1188 + (5741*s[54])/198 + 
       (1517027*s[55])/792 + (801767*s[56])/2376 + (445283*s[57])/891 + 
       (7985761*s[58])/21384 - (11329927*s[59])/21384 - 
       (19188769*s[60])/4752 + (39267247*s[61])/192456 + (14*s[68])/3 - 
       8*s[69] - (26*s[76])/3 + 8*s[77] + 4*s[78] - (4*s[79])/3 + 
       (136*s[80])/9)*\[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      (-4*s[2] + (190*s[3])/3 + (2411*s[4])/6 + (22147*s[5])/66 + 
       (14643*s[6])/22 + (8341319*s[7])/1188 - (906245*s[8])/1782 - 
       (953779*s[9])/162 - (167758*s[10])/81 - (2288087*s[11])/297 - 
       (9795151*s[12])/1188 - (647857*s[13])/132 - (1033499*s[14])/1188 - 
       (119603*s[15])/12 - (1203218*s[16])/99 - (5851961*s[17])/594 - 
       (255781*s[18])/243 - (764149*s[19])/486 - (37561013*s[20])/2673 - 
       (53530457*s[21])/10692 + (38905213*s[22])/10692 + (295431*s[23])/44 + 
       (90472285*s[24])/10692 - (473680687*s[25])/48114 + 
       (256531009*s[26])/48114 + (16*s[31])/3 + (16*s[32])/3 + (16*s[33])/3 - 
       (16*s[34])/3 + (32*s[36])/3 + (665*s[37])/9 + 296*s[38] - 728*s[39] + 
       706*s[40] - (1565*s[41])/3 + (2588*s[42])/3 + (22730*s[43])/33 - 
       (20759*s[44])/33 + (85793*s[45])/99 - (584471*s[46])/99 + 
       (9745*s[47])/66 + (11593*s[48])/66 - (70003*s[49])/22 + 
       (150818*s[50])/33 + (112375*s[51])/198 + (16238*s[52])/33 - 
       (957067*s[53])/297 - (21863*s[54])/99 - (4179223*s[55])/198 - 
       (2908051*s[56])/594 + (2383241*s[57])/891 - (45751565*s[58])/5346 + 
       (48945071*s[59])/5346 + (60207503*s[60])/1188 - 
       (118348745*s[61])/48114 - (10*s[68])/3 - 18*s[69] + 4*s[73] - 
       (56*s[76])/3 - 2*s[77] - (16*s[79])/3 + (184*s[80])/9)*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*((-91*s[2])/2 - (53*s[3])/4 + 
       (9109*s[4])/8 + (23121*s[5])/44 + (107093*s[6])/88 + 
       (22888697*s[7])/1584 - (1194569*s[8])/792 - (218365*s[9])/18 - 
       (56033*s[10])/18 - (8715253*s[11])/528 - (2524999*s[12])/132 - 
       (18681961*s[13])/1584 + (359699*s[14])/528 - (2562911*s[15])/144 - 
       (9291577*s[16])/396 - (24850073*s[17])/1584 - (63008*s[18])/27 - 
       (519413*s[19])/216 - (62638937*s[20])/2376 - (14316077*s[21])/1584 + 
       (36499495*s[22])/4752 + (4156885*s[23])/198 + (18259141*s[24])/1188 - 
       (5817979*s[25])/264 + (8773009*s[26])/792 - 10*s[29] + 9*s[30] - 
       12*s[31] + 6*s[32] - (105*s[33])/2 - 13*s[34] - 15*s[35] - 
       (350*s[36])/3 + (379*s[37])/2 + 914*s[38] - (11491*s[39])/4 + 
       (36185*s[40])/12 - (8863*s[41])/4 + (47095*s[42])/12 + 
       (308983*s[43])/132 - (315295*s[44])/132 + (104663*s[45])/44 - 
       (630913*s[46])/33 + (232333*s[47])/198 - (61387*s[48])/396 - 
       (2135953*s[49])/198 + (956267*s[50])/66 + (1032751*s[51])/396 + 
       (230545*s[52])/99 - (3855845*s[53])/396 - (13289*s[54])/66 - 
       (2715921*s[55])/44 - (1558586*s[56])/99 + (28056161*s[57])/1188 - 
       (113147269*s[58])/3564 + (114914545*s[59])/3564 + 
       (373103249*s[60])/2376 - (60408292*s[61])/8019 - 3*s[65] - 2*s[66] + 
       18*s[67] + 24*s[68] - 6*s[69] + 12*s[70] + 3*s[71] + 18*s[72] - 
       18*s[73] - (27*s[74])/2 + (27*s[75])/2 - 8*s[76] - 3*s[77] - 
       24*s[78] + 132*s[79] + 23*s[80])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v]*((-31*s[5])/44 + 
       (2209*s[6])/132 + (147305*s[7])/792 - (2908*s[8])/297 - 
       (8389*s[9])/54 - (1786*s[10])/27 - (38857*s[11])/198 - 
       (41315*s[12])/198 - (42421*s[13])/396 - (35963*s[14])/396 - 
       (1915*s[15])/8 - (241799*s[16])/792 - (8434*s[17])/33 - 
       (13063*s[18])/324 - (8369*s[19])/324 - (391508*s[20])/891 - 
       (145526*s[21])/891 + (166901*s[22])/1782 + (14167*s[23])/792 + 
       (1544621*s[24])/7128 - (7058291*s[25])/32076 + (4964783*s[26])/32076 + 
       (4*s[37])/3 + (23*s[38])/3 - (65*s[39])/12 + (65*s[40])/12 - 
       (101*s[41])/12 + (9*s[42])/4 + (1189*s[43])/44 - (589*s[44])/44 + 
       (1489*s[45])/44 - (12233*s[46])/66 - (4595*s[47])/396 + 
       (7421*s[48])/198 - (16037*s[49])/198 + (1546*s[50])/11 + 
       (1489*s[51])/132 + (1633*s[52])/198 - (39911*s[53])/396 + 
       (1442*s[54])/33 - (303629*s[55])/396 - (4491*s[56])/22 - 
       (38216*s[57])/99 - (45796*s[58])/297 + (102407*s[59])/594 + 
       (4304725*s[60])/2376 - (304817*s[61])/3564 - 4*s[82])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^5*((207*s[5])/176 - (1945*s[6])/528 - 
       (97937*s[7])/3168 + (463*s[8])/297 + (5335*s[9])/216 + 
       (268*s[10])/27 + (27703*s[11])/792 + (32867*s[12])/792 + 
       (31729*s[13])/1584 + (27911*s[14])/1584 + (1043*s[15])/32 + 
       (157847*s[16])/3168 + (1495*s[17])/44 + (11467*s[18])/1296 + 
       (1397*s[19])/1296 + (68837*s[20])/891 + (105695*s[21])/3564 - 
       (112715*s[22])/7128 - (38719*s[23])/3168 - (1021373*s[24])/28512 + 
       (4955399*s[25])/128304 - (3683987*s[26])/128304 - (2*s[37])/3 - 
       (8*s[38])/3 + (77*s[39])/48 - (77*s[40])/48 + (101*s[41])/48 - 
       s[42]/16 - (1321*s[43])/176 + (831*s[44])/176 - (785*s[45])/176 + 
       (8009*s[46])/264 + (5189*s[47])/1584 - (5641*s[48])/396 + 
       (2215*s[49])/99 - (205*s[50])/11 - (1555*s[51])/528 - 
       (569*s[52])/396 + (18527*s[53])/1584 - (344*s[54])/33 + 
       (158759*s[55])/1584 + (395*s[56])/11 + (20957*s[57])/396 + 
       (66479*s[58])/2376 - (8251*s[59])/297 - (3068215*s[60])/9504 + 
       (154711*s[61])/14256 + s[82])*\[Zeta][2] + 
     HPL[{1}, 1 - w]^5*(-s[1]/60 + (121*s[4])/12 - (167*s[5])/528 + 
       (1637*s[6])/352 + (79631*s[7])/1056 - (120971*s[8])/9504 - 
       (51319*s[9])/864 - (313*s[10])/27 - (541535*s[11])/6336 - 
       (655357*s[12])/6336 - (94745*s[13])/1584 + (22547*s[14])/792 - 
       (27907*s[15])/288 - (190493*s[16])/1584 - (439487*s[17])/6336 - 
       (31517*s[18])/2592 - (33847*s[19])/2592 - (1701995*s[20])/14256 - 
       (506339*s[21])/14256 + (1115861*s[22])/28512 + (1038991*s[23])/6336 + 
       (4281775*s[24])/57024 - (63681947*s[25])/513216 + 
       (28470887*s[26])/513216 + (5*s[38])/3 - (217*s[39])/16 + 
       (217*s[40])/16 - (161*s[41])/12 + (497*s[42])/24 + (3673*s[43])/528 - 
       (9349*s[44])/1056 + (1755*s[45])/176 - (24515*s[46])/264 + 
       (24385*s[47])/3168 - (37325*s[48])/3168 - (117067*s[49])/3168 + 
       (3111*s[50])/44 + (10957*s[51])/1056 + (32843*s[52])/3168 - 
       (20875*s[53])/396 + (40*s[54])/11 - (333505*s[55])/1056 - 
       (85909*s[56])/1056 + (127231*s[57])/792 - (1601647*s[58])/9504 + 
       (1630765*s[59])/9504 + (12622741*s[60])/19008 - 
       (1220383*s[61])/28512 + 3*s[82])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^5*((-167*s[5])/528 - (17*s[6])/1056 - (7*s[7])/176 - 
       (3557*s[8])/9504 - (613*s[9])/864 + (761*s[10])/432 - 
       (13139*s[11])/6336 - (36145*s[12])/6336 - (3169*s[13])/792 - 
       (2789*s[14])/1584 + (301*s[15])/36 + (8183*s[16])/3168 + 
       (62905*s[17])/6336 - (3761*s[18])/2592 + (8327*s[19])/2592 - 
       (28103*s[20])/14256 - (8095*s[21])/7128 + (18941*s[22])/28512 + 
       (2461*s[23])/6336 - (92639*s[24])/57024 - (490841*s[25])/513216 + 
       (527741*s[26])/513216 - (5*s[37])/6 - (71*s[39])/48 + (71*s[40])/48 - 
       (8*s[41])/3 + (25*s[42])/24 + (241*s[43])/528 - (27*s[44])/44 - 
       (1115*s[45])/528 - (17*s[46])/88 - (463*s[47])/1584 - 
       (227*s[48])/198 - (1091*s[49])/396 - (281*s[50])/132 - 
       (1325*s[51])/528 + (1951*s[52])/1584 + (7019*s[53])/1584 + 
       (91*s[54])/22 + (42983*s[55])/1584 + (215*s[56])/528 + 
       (3305*s[57])/66 - (36419*s[58])/2376 + (34729*s[59])/4752 - 
       (65519*s[60])/4752 + (26711*s[61])/85536 + 3*s[82])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*((-215*s[2])/6 - (701*s[3])/12 - 
       (6053*s[4])/24 + (1019*s[5])/33 + (73993*s[6])/264 - 
       (17046973*s[7])/4752 + (119299*s[8])/792 + 2861*s[9] + 
       (19325*s[10])/9 + (5826847*s[11])/1584 + (227363*s[12])/66 + 
       (7595231*s[13])/4752 + (309007*s[14])/1584 + (2959471*s[15])/432 + 
       (17934211*s[16])/2376 + (34586731*s[17])/4752 - (30379*s[18])/81 + 
       (1634405*s[19])/648 + (57051851*s[20])/7128 + (25467077*s[21])/14256 - 
       (8862731*s[22])/4752 + (3925633*s[23])/2376 - (5262857*s[24])/792 + 
       (312288409*s[25])/64152 - (121777471*s[26])/64152 - (2*s[30])/3 + 
       (41*s[31])/3 + (35*s[32])/3 + (91*s[33])/6 - (61*s[34])/3 + 
       (5*s[35])/3 + (397*s[36])/18 + (183*s[37])/4 - (41*s[38])/6 - 
       (9895*s[39])/24 + (27473*s[40])/72 - (1751*s[41])/8 + 
       (67285*s[42])/72 - (24151*s[43])/72 + (5069*s[44])/144 - 
       (17537*s[45])/24 + (90173*s[46])/36 + (447767*s[47])/432 - 
       (590287*s[48])/432 + (886351*s[49])/432 - (57061*s[50])/18 + 
       (355345*s[51])/432 + (371377*s[52])/432 + (62044*s[53])/27 + 
       (98435*s[54])/36 + (2353897*s[55])/144 + (247777*s[56])/432 + 
       (5994197*s[57])/324 - (8887495*s[58])/3888 + (395419*s[59])/3888 - 
       (94326463*s[60])/2592 + (5618879*s[61])/8748 - (17*s[65])/3 - 
       (62*s[66])/3 + (106*s[67])/3 + (97*s[68])/3 + (58*s[69])/3 - 
       (5*s[70])/3 + (5*s[71])/3 + (92*s[72])/3 + (116*s[73])/3 - 
       (61*s[74])/3 + (61*s[75])/3 + 38*s[76] - (43*s[77])/3 + (49*s[78])/3 - 
       8*s[79] - (311*s[80])/6 - 1264*s[82] + 8*s[83] - 24*s[84])*
      \[Zeta][2] + Qep[v, u, w]*((-160*s[2])/3 - (1360*s[3])/3 + 
       (12472*s[4])/3 + (134512*s[5])/33 - (34952*s[6])/33 + 
       (19438148*s[7])/297 - (2248088*s[8])/297 - (1535248*s[9])/27 - 
       (500816*s[10])/27 - (2340812*s[11])/33 - (7577312*s[12])/99 - 
       (12647524*s[13])/297 + (78732*s[14])/11 - (2661548*s[15])/27 - 
       (34115056*s[16])/297 - (26193524*s[17])/297 - (201536*s[18])/27 - 
       (153688*s[19])/9 - (38112376*s[20])/297 - (39234188*s[21])/891 + 
       (31960556*s[22])/891 + (24402608*s[23])/297 + (67839776*s[24])/891 - 
       (753118856*s[25])/8019 + (373283144*s[26])/8019 - 128*s[30] + 
       (64*s[31])/3 - 32*s[32] + (352*s[33])/3 - (1216*s[34])/3 - 
       (2176*s[35])/3 - (11968*s[36])/9 + (6064*s[37])/9 + (9664*s[38])/3 - 
       (55808*s[39])/3 + (155776*s[40])/9 - 13984*s[41] + (268472*s[42])/9 + 
       (575360*s[43])/99 - (1320272*s[44])/99 - (775832*s[45])/99 - 
       (303448*s[46])/11 + (4209760*s[47])/297 - (5667008*s[48])/297 - 
       (14719720*s[49])/297 + (3059264*s[50])/99 + (5785448*s[51])/297 + 
       (3464144*s[52])/297 - (535208*s[53])/33 - (505504*s[54])/33 - 
       (1345912*s[55])/33 + (7128328*s[56])/297 + (158575784*s[57])/891 - 
       (186830440*s[58])/2673 + (216119104*s[59])/2673 + 
       (171068264*s[60])/891 + (279126908*s[61])/24057 - (256*s[65])/3 - 
       (1024*s[66])/3 + 512*s[67] + 320*s[68] + (1984*s[69])/3 + 
       (64*s[70])/3 + 192*s[71] + (1408*s[72])/3 + (512*s[73])/3 - 
       (1376*s[74])/3 + (1376*s[75])/3 + (1664*s[76])/3 - (64*s[77])/3 + 
       (704*s[78])/3 - (3712*s[79])/3 + (8864*s[80])/9 - (13952*s[82])/3 - 
       (6400*s[85])/3)*\[Zeta][2] + Qep[w, v, u]*(576*s[2] + (1616*s[3])/9 + 
       (70472*s[4])/9 + (645856*s[5])/99 + (345544*s[6])/33 + 
       (116365108*s[7])/891 - (27735944*s[8])/2673 - (26858896*s[9])/243 - 
       (9315776*s[10])/243 - (127437760*s[11])/891 - (135342128*s[12])/891 - 
       (8935952*s[13])/99 - (9064840*s[14])/891 - (1681460*s[15])/9 - 
       (67994668*s[16])/297 - (164852168*s[17])/891 - (13100768*s[18])/729 - 
       (21542344*s[19])/729 - (2080446616*s[20])/8019 - 
       (741173824*s[21])/8019 + (555414416*s[22])/8019 + (4360676*s[23])/33 + 
       (1227706508*s[24])/8019 - (13208962732*s[25])/72171 + 
       (7035504244*s[26])/72171 - (128*s[30])/3 + (896*s[31])/9 - 
       (1504*s[32])/9 + (1856*s[33])/9 - (4928*s[34])/9 - (1664*s[35])/3 - 
       (10624*s[36])/9 + (2224*s[37])/27 + (14432*s[38])/3 - 
       (77920*s[39])/3 + (240032*s[40])/9 - (199504*s[41])/9 + 
       (357680*s[42])/9 + (1695008*s[43])/99 - (2286920*s[44])/99 + 
       (1116760*s[45])/297 - (33823144*s[46])/297 + (3512648*s[47])/297 - 
       (2384056*s[48])/297 - (29133752*s[49])/297 + (9763328*s[50])/99 + 
       (7456664*s[51])/297 + (4682056*s[52])/297 - (57584240*s[53])/891 - 
       (5041360*s[54])/297 - (103357120*s[55])/297 - (45295144*s[56])/891 + 
       (465064696*s[57])/2673 - (1422792128*s[58])/8019 + 
       (1583892272*s[59])/8019 + (835806344*s[60])/891 - 
       (1927360832*s[61])/72171 - (256*s[65])/3 - (1024*s[66])/3 + 
       512*s[67] + (1024*s[68])/9 + 1024*s[69] + (128*s[70])/3 + 
       (416*s[71])/3 + (1280*s[72])/3 - (1280*s[73])/3 - (1120*s[74])/3 + 
       (1120*s[75])/3 + (3968*s[76])/9 - (896*s[77])/3 + (1408*s[78])/3 - 
       (3200*s[79])/9 + (6368*s[80])/27 - (6400*s[82])/3 - (5120*s[85])/3)*
      \[Zeta][2] + Qep[u, w, v]*((1312*s[2])/3 + (4480*s[3])/9 + 
       (105376*s[4])/9 + (1196912*s[5])/99 + (586576*s[6])/33 + 
       (186857288*s[7])/891 - (46632976*s[8])/2673 - (43503488*s[9])/243 - 
       (13818736*s[10])/243 - (204782324*s[11])/891 - (219884608*s[12])/891 - 
       (43451956*s[13])/297 - (16228172*s[14])/891 - (7904672*s[15])/27 - 
       (35779676*s[16])/99 - (254676100*s[17])/891 - (25725568*s[18])/729 - 
       (27368720*s[19])/729 - (3357133808*s[20])/8019 - 
       (1242204332*s[21])/8019 + (893736796*s[22])/8019 + 
       (71247020*s[23])/297 + (1865360404*s[24])/8019 - 
       (21081517532*s[25])/72171 + (11579737652*s[26])/72171 - 
       (256*s[30])/3 + (1600*s[31])/9 - (704*s[32])/9 + (2656*s[33])/9 - 
       (7936*s[34])/9 - 768*s[35] - (19264*s[36])/9 + (40736*s[37])/27 + 
       8288*s[38] - 36608*s[39] + 37376*s[40] - (261008*s[41])/9 + 
       (485720*s[42])/9 + (2510912*s[43])/99 - (3079784*s[44])/99 + 
       (5554304*s[45])/297 - (60227744*s[46])/297 + (1717000*s[47])/99 - 
       (1148984*s[48])/99 - (13281056*s[49])/99 + (16161920*s[50])/99 + 
       (10159808*s[51])/297 + (274712*s[52])/11 - (99761224*s[53])/891 - 
       (5368496*s[54])/297 - (195882152*s[55])/297 - (123378896*s[56])/891 + 
       (733238864*s[57])/2673 - (2649557176*s[58])/8019 + 
       (2810851504*s[59])/8019 + (1467564584*s[60])/891 - 
       (4971849628*s[61])/72171 - (256*s[65])/3 - (1024*s[66])/3 + 
       512*s[67] + (1856*s[68])/9 + (2624*s[69])/3 + 64*s[70] + 
       (544*s[71])/3 + 384*s[72] - 256*s[73] - 384*s[74] + 384*s[75] + 
       (2176*s[76])/9 - 192*s[77] + 704*s[78] - (7936*s[79])/9 + 
       (30592*s[80])/27 + 384*s[82] - 1280*s[85])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*((121*s[2])/3 - 
       (15023*s[3])/36 - (178873*s[4])/72 - (843107*s[5])/198 - 
       (699619*s[6])/88 - (951158161*s[7])/14256 + (95548243*s[8])/21384 + 
       (55845235*s[9])/972 + (9038353*s[10])/486 + (128614601*s[11])/1782 + 
       (274354001*s[12])/3564 + (5992867*s[13])/132 + 
       (111705701*s[14])/7128 + (12950965*s[15])/144 + 
       (536260195*s[16])/4752 + (649853077*s[17])/7128 + 
       (42976769*s[18])/2916 + (43177817*s[19])/5832 + 
       (8996054255*s[20])/64152 + (879468527*s[21])/16038 - 
       (280531349*s[22])/8019 - (108671399*s[23])/1584 - 
       (9231529991*s[24])/128304 + (101404125859*s[25])/1154736 - 
       (61200473737*s[26])/1154736 - 28*s[29] + (97*s[30])/3 - 
       (293*s[31])/9 - (692*s[32])/9 + (106*s[33])/9 - (55*s[34])/9 + 
       (181*s[35])/3 + (5*s[36])/3 - (8542*s[37])/27 - (10837*s[38])/6 + 
       (67321*s[39])/12 - (219619*s[40])/36 + (38785*s[41])/9 - 
       (180739*s[42])/24 - (666683*s[43])/132 + (304619*s[44])/66 - 
       (11055337*s[45])/1188 + (33364151*s[46])/594 - (2904997*s[47])/1188 - 
       (356255*s[48])/594 + (48892589*s[49])/2376 - (2712089*s[50])/66 - 
       (4494175*s[51])/792 - (6525227*s[52])/1188 + (209447797*s[53])/7128 - 
       (4662389*s[54])/1188 + (116210291*s[55])/594 + 
       (413691539*s[56])/7128 - (244146137*s[57])/5346 + 
       (2910091601*s[58])/32076 - (5648305873*s[59])/64152 - 
       (717040403*s[60])/1584 + (33527505719*s[61])/1154736 - 16*s[63] - 
       (20*s[65])/3 - (62*s[66])/3 + (106*s[67])/3 - (619*s[68])/9 + 
       173*s[69] - (11*s[70])/3 + (67*s[71])/6 - (8*s[72])/3 - 
       (518*s[73])/3 - (5*s[74])/2 + (5*s[75])/2 + (214*s[76])/9 - 
       (260*s[77])/3 + (103*s[78])/3 - (1018*s[79])/9 - (2219*s[80])/27 - 
       1470*s[82] + (107*s[83])/2 - 137*s[84] - 892*s[85])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*((349*s[2])/3 - 
       (13669*s[3])/36 - (146285*s[4])/72 - (1067615*s[5])/396 - 
       (1786289*s[6])/264 - (665229275*s[7])/14256 + (76668191*s[8])/21384 + 
       (9637340*s[9])/243 + (5653655*s[10])/486 + (181377323*s[11])/3564 + 
       (395418245*s[12])/7128 + (79490039*s[13])/2376 + 
       (38370803*s[14])/3564 + (25687457*s[15])/432 + 
       (122303801*s[16])/1584 + (427213361*s[17])/7128 + 
       (8310193*s[18])/729 + (17103289*s[19])/5832 + (6159179185*s[20])/
        64152 + (2429054809*s[21])/64152 - (1556842907*s[22])/64152 - 
       (267050579*s[23])/4752 - (6067377073*s[24])/128304 + 
       (72165627395*s[25])/1154736 - (43603654085*s[26])/1154736 + 34*s[30] + 
       (236*s[31])/9 - (1115*s[32])/18 + (107*s[33])/9 - (563*s[34])/9 + 
       (152*s[35])/3 - (383*s[36])/3 - (13427*s[37])/108 - (2663*s[38])/2 + 
       (68611*s[39])/12 - (238181*s[40])/36 + (44759*s[41])/9 - 
       (100237*s[42])/12 - (683209*s[43])/132 + (687461*s[44])/132 - 
       (20006299*s[45])/2376 + (133309351*s[46])/2376 - 
       (2987201*s[47])/1188 - (646573*s[48])/594 + (12407869*s[49])/594 - 
       (2698871*s[50])/66 - (1235815*s[51])/198 - (3365357*s[52])/594 + 
       (51743495*s[53])/1782 - (7256677*s[54])/1188 + 
       (451605481*s[55])/2376 + (209393231*s[56])/3564 - 
       (1118015977*s[57])/21384 + (5867536877*s[58])/64152 - 
       (5615771489*s[59])/64152 - (2112120515*s[60])/4752 + 
       (16938840827*s[61])/577368 + s[65]/3 + (10*s[66])/3 - (28*s[67])/3 - 
       (368*s[68])/9 + (206*s[69])/3 - (32*s[70])/3 + (23*s[71])/2 - 
       28*s[72] - (736*s[73])/3 + (19*s[74])/2 - (19*s[75])/2 - 
       (898*s[76])/9 - (94*s[77])/3 + 76*s[78] - (3950*s[79])/9 + 
       (15469*s[80])/54 - (2440*s[82])/3 + (89*s[83])/2 - 135*s[84] - 
       (2648*s[85])/3)*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((-1981*s[2])/6 - (1999*s[3])/12 - 
       (183371*s[4])/24 - (201760*s[5])/33 - (3930287*s[6])/264 - 
       (638652235*s[7])/4752 + (71039203*s[8])/7128 + (9188299*s[9])/81 + 
       (6148915*s[10])/162 + (700767919*s[11])/4752 + 
       (377893279*s[12])/2376 + (50358887*s[13])/528 + 
       (94310581*s[14])/4752 + (26221159*s[15])/144 + (91046419*s[16])/396 + 
       (866084729*s[17])/4752 + (22494197*s[18])/972 + 
       (44842823*s[19])/1944 + (5766783557*s[20])/21384 + 
       (4196130139*s[21])/42768 - (3019468571*s[22])/42768 - 
       (36999961*s[23])/264 - (3237332743*s[24])/21384 + 
       (4475955871*s[25])/24057 - (4948423229*s[26])/48114 + (22*s[30])/3 - 
       86*s[31] + (148*s[32])/3 - (17*s[33])/12 + 112*s[34] + (14*s[35])/3 + 
       (6449*s[36])/18 - (6131*s[37])/18 - (26795*s[38])/6 + 
       (387797*s[39])/24 - (1314275*s[40])/72 + (345563*s[41])/24 - 
       (1596535*s[42])/72 - (13319569*s[43])/792 + (25780127*s[44])/1584 - 
       (4066457*s[45])/198 + (39081769*s[46])/264 - (13411297*s[47])/4752 - 
       (33148795*s[48])/4752 + (359583295*s[49])/4752 - 
       (22767739*s[50])/198 - (69399179*s[51])/4752 - (55621277*s[52])/4752 + 
       (7971034*s[53])/99 + (37278*s[54])/11 + (820229197*s[55])/1584 + 
       (626259917*s[56])/4752 - (143587699*s[57])/1782 + 
       (9257913883*s[58])/42768 - (9586887157*s[59])/42768 - 
       (35544529789*s[60])/28512 + (25043068525*s[61])/384912 - 
       (22*s[65])/3 - (88*s[66])/3 + (104*s[67])/3 + 66*s[68] - 
       (130*s[69])/3 - (130*s[70])/3 + (43*s[71])/3 + (32*s[72])/3 + 
       261*s[73] - 3*s[74] + 3*s[75] + (676*s[76])/3 + (308*s[77])/3 - 
       (463*s[78])/3 - (4234*s[79])/3 + (2956*s[80])/9 - 4196*s[82] - s[83] - 
       502*s[84] - 804*s[85])*\[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*((-1105*s[2])/6 - (4211*s[3])/12 - (36265*s[4])/8 - 
       (237509*s[5])/66 - (2536351*s[6])/264 - (394152889*s[7])/4752 + 
       (42564701*s[8])/7128 + (22599077*s[9])/324 + (7879351*s[10])/324 + 
       (430051271*s[11])/4752 + (230696423*s[12])/2376 + 
       (275820727*s[13])/4752 + (69521393*s[14])/4752 + 
       (48688163*s[15])/432 + (337897019*s[16])/2376 + 
       (180498319*s[17])/1584 + (7199321*s[18])/486 + (27112855*s[19])/1944 + 
       (3608885959*s[20])/21384 + (2631169271*s[21])/42768 - 
       (1852422499*s[22])/42768 - (96272777*s[23])/1188 - 
       (252688294*s[24])/2673 + (21829316389*s[25])/192456 - 
       (12248136709*s[26])/192456 - 10*s[29] - (4*s[30])/3 - 22*s[31] + 
       11*s[32] + (193*s[33])/4 - (136*s[34])/3 - (44*s[35])/3 + 
       (1451*s[36])/18 - (155*s[37])/9 - (16159*s[38])/6 + 
       (219331*s[39])/24 - (770501*s[40])/72 + (205753*s[41])/24 - 
       (870505*s[42])/72 - (8828503*s[43])/792 + (15709355*s[44])/1584 - 
       (5989625*s[45])/396 + (79478855*s[46])/792 - (464941*s[47])/4752 - 
       (34637827*s[48])/4752 + (228734419*s[49])/4752 - 
       (15447829*s[50])/198 - (37836683*s[51])/4752 - (31124429*s[52])/4752 + 
       (65593529*s[53])/1188 + (363377*s[54])/198 + (190858579*s[55])/528 + 
       (147054019*s[56])/1584 - (15811021*s[57])/594 + 
       (222163813*s[58])/1584 - (691769761*s[59])/4752 - 
       (24455171677*s[60])/28512 + (5926009139*s[61])/128304 + 4*s[63] - 
       (52*s[65])/3 - (184*s[66])/3 + (320*s[67])/3 + 106*s[68] + 
       (224*s[69])/3 - (58*s[70])/3 + (106*s[71])/3 + (184*s[72])/3 + 
       (289*s[73])/3 - (143*s[74])/3 + (143*s[75])/3 + (446*s[76])/3 + 
       (82*s[77])/3 - (25*s[78])/3 - (2810*s[79])/3 + (1505*s[80])/9 - 
       3956*s[82] + 23*s[83] - 454*s[84] - 804*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-5633*s[2])/24 - (3499*s[3])/16 - (196183*s[4])/32 - 
       (874085*s[5])/176 - (4460113*s[6])/352 - (1986058297*s[7])/19008 + 
       (25077563*s[8])/3168 + (12726793*s[9])/144 + (3846685*s[10])/144 + 
       (733315027*s[11])/6336 + (44686623*s[12])/352 + 
       (1467927617*s[13])/19008 + (90511225*s[14])/6336 + 
       (234934243*s[15])/1728 + (415009681*s[16])/2376 + 
       (2538167347*s[17])/19008 + (6522041*s[18])/324 + 
       (36769223*s[19])/2592 + (5886779213*s[20])/28512 + 
       (4376927723*s[21])/57024 - (1042808341*s[22])/19008 - 
       (1171347035*s[23])/9504 - (1067879269*s[24])/9504 + 
       (37562981065*s[25])/256608 - (20962423897*s[26])/256608 - 4*s[29] - 
       (17*s[30])/6 - (181*s[31])/2 + (73*s[32])/3 + (269*s[33])/16 + 
       (335*s[34])/3 - (91*s[35])/12 + (6851*s[36])/36 - (12883*s[37])/36 - 
       4163*s[38] + (89543*s[39])/6 - (603287*s[40])/36 + (102893*s[41])/8 - 
       (2990497*s[42])/144 - (2817737*s[43])/198 + (44333963*s[44])/3168 - 
       (6656719*s[45])/396 + (49028513*s[46])/396 - (40099219*s[47])/9504 - 
       (37493011*s[48])/9504 + (590170555*s[49])/9504 - 
       (73763957*s[50])/792 - (135162425*s[51])/9504 - 
       (116015051*s[52])/9504 + (307142245*s[53])/4752 - 
       (2485991*s[54])/792 + (1314066491*s[55])/3168 + 
       (119433205*s[56])/1056 - (129195977*s[57])/1188 + 
       (5523344851*s[58])/28512 - (5561111995*s[59])/28512 - 
       (57867097357*s[60])/57024 + (589002017*s[61])/10692 + 8*s[63] - 
       (9*s[65])/4 - 15*s[66] + (61*s[67])/6 + (8*s[68])/3 - (5*s[69])/3 - 
       (139*s[70])/6 + (295*s[71])/12 - (19*s[72])/2 + (1075*s[73])/6 + 
       (135*s[74])/8 - (135*s[75])/8 + (508*s[76])/3 + (653*s[77])/12 - 
       131*s[78] - (3836*s[79])/3 + (6305*s[80])/18 - (5638*s[82])/3 - 
       (83*s[83])/4 - (1077*s[84])/2 - (1838*s[85])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*(351*s[2] - (1511*s[3])/6 - 
       (5329*s[4])/12 - (3985*s[5])/66 - (79819*s[6])/44 - 
       (2642311*s[7])/2376 + (3533281*s[8])/3564 + (145615*s[9])/162 - 
       (631813*s[10])/162 + (5577049*s[11])/2376 + (3828173*s[12])/594 + 
       (3540349*s[13])/792 - (990383*s[14])/2376 - (522925*s[15])/72 - 
       (401642*s[16])/99 - (27000673*s[17])/2376 + (2007641*s[18])/486 - 
       (6318433*s[19])/972 - (6311551*s[20])/10692 + (22934431*s[21])/21384 - 
       (8735219*s[22])/21384 - (2421676*s[23])/99 + (41865925*s[24])/5346 + 
       (360618857*s[25])/96228 - (294044759*s[26])/96228 + 12*s[29] - 
       38*s[30] + (32*s[31])/3 - (334*s[32])/3 - (49*s[33])/3 - 
       (338*s[34])/3 - 70*s[35] - 343*s[36] - (2030*s[37])/9 - 287*s[38] + 
       (2349*s[39])/4 - (8819*s[40])/12 - (1435*s[41])/12 - (4383*s[42])/4 + 
       (44965*s[43])/44 - (68527*s[44])/88 - (227677*s[45])/198 + 
       (791963*s[46])/396 - (2062705*s[47])/792 + (2043749*s[48])/792 - 
       (6717965*s[49])/792 + (41507*s[50])/11 - (509093*s[51])/264 - 
       (2304065*s[52])/792 - (1646527*s[53])/594 - (1112857*s[54])/99 - 
       (8688077*s[55])/792 + (34519291*s[56])/2376 - (93087997*s[57])/1782 + 
       (469575281*s[58])/21384 - (246047951*s[59])/21384 + 
       (5065265*s[60])/176 + (1195236923*s[61])/192456 + 8*s[63] - 2*s[65] - 
       4*s[66] + 12*s[67] - (308*s[68])/3 + 176*s[69] + 48*s[70] + 16*s[71] - 
       28*s[72] - 138*s[73] + 13*s[74] - 13*s[75] - (28*s[76])/3 - 
       134*s[77] + 38*s[78] - (1220*s[79])/3 + (2954*s[80])/9 + 1168*s[82] + 
       3*s[83] - 66*s[84] - 568*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-733*s[2])/6 - (807*s[3])/4 - (95179*s[4])/24 - (439345*s[5])/132 - 
       (719537*s[6])/88 - (345811189*s[7])/4752 + (12467665*s[8])/2376 + 
       (6645649*s[9])/108 + (2262881*s[10])/108 + (125594363*s[11])/1584 + 
       (33688877*s[12])/396 + (240731519*s[13])/4752 + 
       (19878623*s[14])/1584 + (42876295*s[15])/432 + 
       (296221627*s[16])/2376 + (474473563*s[17])/4752 + 
       (4197163*s[18])/324 + (7808683*s[19])/648 + (1055107657*s[20])/7128 + 
       (256294063*s[21])/4752 - (543678305*s[22])/14256 - 
       (174393761*s[23])/2376 - (586189405*s[24])/7128 + 
       (177309115*s[25])/1782 - (49638593*s[26])/891 - 5*s[30] - 20*s[31] + 
       (71*s[32])/3 + (31*s[33])/6 + s[34]/3 - 23*s[35] + (1115*s[36])/18 - 
       102*s[37] - (4123*s[38])/2 + (61511*s[39])/8 - (638459*s[40])/72 + 
       (56921*s[41])/8 - (770533*s[42])/72 - (6603457*s[43])/792 + 
       (12562751*s[44])/1584 - (1449769*s[45])/132 + (60753409*s[46])/792 - 
       (5351473*s[47])/4752 - (19543387*s[48])/4752 + 
       (173894035*s[49])/4752 - (11798101*s[50])/198 - 
       (35006039*s[51])/4752 - (27655901*s[52])/4752 + 
       (49870663*s[53])/1188 - (27875*s[54])/198 + (431034869*s[55])/1584 + 
       (337032001*s[56])/4752 - (30185218*s[57])/891 + 
       (4732459859*s[58])/42768 - (4860520409*s[59])/42768 - 
       (18423702685*s[60])/28512 + (13529708219*s[61])/384912 - 
       (22*s[65])/3 - (76*s[66])/3 + (116*s[67])/3 + 46*s[68] + 
       (80*s[69])/3 - (22*s[70])/3 + (58*s[71])/3 + 14*s[72] + 
       (119*s[73])/3 - (29*s[74])/6 + (29*s[75])/6 + 72*s[76] + 5*s[77] - 
       (7*s[78])/3 - 794*s[79] + (491*s[80])/3 - 2740*s[82] + 2*s[83] - 
       364*s[84] - 544*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((577*s[2])/6 - (1369*s[3])/4 - (82025*s[4])/24 - 
       (100946*s[5])/33 - (1686541*s[6])/264 - (289542677*s[7])/4752 + 
       (12570709*s[8])/2376 + (2784539*s[9])/54 + (1710683*s[10])/108 + 
       (35228585*s[11])/528 + (57884353*s[12])/792 + (207192385*s[13])/4752 + 
       (3956155*s[14])/528 + (34919087*s[15])/432 + (60801143*s[16])/594 + 
       (372057479*s[17])/4752 + (1284473*s[18])/108 + (595213*s[19])/72 + 
       (290498429*s[20])/2376 + (645719927*s[21])/14256 - 
       (456179951*s[22])/14256 - (171713665*s[23])/2376 - 
       (468822907*s[24])/7128 + (5431021111*s[25])/64152 - 
       (3038141287*s[26])/64152 + (37*s[30])/3 + (122*s[31])/3 - 
       (184*s[32])/3 + (52*s[33])/3 - 39*s[34] + (503*s[35])/3 + 
       (3007*s[36])/18 - (1631*s[37])/9 - (13621*s[38])/6 + (78885*s[39])/8 - 
       (771625*s[40])/72 + (201089*s[41])/24 - (1045823*s[42])/72 - 
       (5939915*s[43])/792 + (13769803*s[44])/1584 - (801764*s[45])/99 + 
       (18223279*s[46])/264 - (21818825*s[47])/4752 + (5164681*s[48])/4752 + 
       (170610359*s[49])/4752 - (5303659*s[50])/99 - (48682735*s[51])/4752 - 
       (37939933*s[52])/4752 + (7234175*s[53])/198 - (21191*s[54])/22 + 
       (120104087*s[55])/528 + (278337277*s[56])/4752 - 
       (70136437*s[57])/891 + (4799893775*s[58])/42768 - 
       (4799646365*s[59])/42768 - (15915645749*s[60])/28512 + 
       (11337748031*s[61])/384912 + (32*s[65])/3 + (140*s[66])/3 - 76*s[67] - 
       70*s[68] - (124*s[69])/3 - 52*s[70] - (56*s[71])/3 - 98*s[72] - 
       (571*s[73])/3 + (487*s[74])/6 - (487*s[75])/6 - (488*s[76])/3 + 
       (77*s[77])/3 + (221*s[78])/3 - 364*s[79] + (827*s[80])/9 - 604*s[82] + 
       49*s[83] - 214*s[84] - 544*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      (-160*s[2] - (8309*s[3])/24 - (91117*s[4])/16 - (750653*s[5])/176 - 
       (5640545*s[6])/528 - (922317023*s[7])/9504 + (105139159*s[8])/14256 + 
       (53064301*s[9])/648 + (35254459*s[10])/1296 + (504042041*s[11])/4752 + 
       (1088359535*s[12])/9504 + (650640779*s[13])/9504 + 
       (134900845*s[14])/9504 + (113723719*s[15])/864 + 
       (393489641*s[16])/2376 + (25914835*s[17])/198 + 
       (66489145*s[18])/3888 + (62464289*s[19])/3888 + 
       (8348025539*s[20])/42768 + (6029938159*s[21])/85536 - 
       (4353908381*s[22])/85536 - (979451899*s[23])/9504 - 
       (9304583357*s[24])/85536 + (51678745409*s[25])/384912 - 
       (7127725541*s[26])/96228 - (25*s[30])/2 - (88*s[31])/3 + 
       (58*s[32])/3 - (77*s[33])/6 + (175*s[34])/6 + 29*s[35] + 
       (1685*s[36])/9 - (3835*s[37])/36 - (34285*s[38])/12 + 
       (171997*s[39])/16 - (1759421*s[40])/144 + (471829*s[41])/48 - 
       (2159509*s[42])/144 - (17560495*s[43])/1584 + (34081439*s[44])/3168 - 
       (22142731*s[45])/1584 + (79463929*s[46])/792 - (18315157*s[47])/9504 - 
       (41576659*s[48])/9504 + (472810633*s[49])/9504 - 
       (31038115*s[50])/396 - (95511725*s[51])/9504 - (76081829*s[52])/9504 + 
       (65371723*s[53])/1188 + (979153*s[54])/792 + (124530909*s[55])/352 + 
       (285488617*s[56])/3168 - (30650537*s[57])/594 + (51368265*s[58])/352 - 
       (1433157955*s[59])/9504 - (48112260577*s[60])/57024 + 
       (5733100213*s[61])/128304 - 7*s[65] - 28*s[66] + (124*s[67])/3 + 
       (73*s[68])/2 + (161*s[69])/6 - (50*s[70])/3 + 21*s[71] + 
       (16*s[72])/3 + (167*s[73])/3 + (89*s[74])/12 - (89*s[75])/12 + 
       123*s[76] + (131*s[77])/6 - (146*s[78])/3 - 976*s[79] + 
       (1042*s[80])/9 - (5225*s[82])/2 + (9*s[83])/2 - 471*s[84] - 542*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*((-403*s[2])/3 - (2623*s[3])/12 - (40307*s[4])/12 - 
       (509601*s[5])/176 - (877139*s[6])/132 - (10914187*s[7])/176 + 
       (2587435*s[8])/594 + (11313185*s[9])/216 + (8062289*s[10])/432 + 
       (213140759*s[11])/3168 + (226177273*s[12])/3168 + 
       (66627901*s[13])/1584 + (2184623*s[14])/198 + (2077901*s[15])/24 + 
       (170597545*s[16])/1584 + (279081527*s[17])/3168 + 
       (3436139*s[18])/324 + (14759989*s[19])/1296 + (1811793457*s[20])/
        14256 + (82115183*s[21])/1782 - (462954209*s[22])/14256 - 
       (187630045*s[23])/3168 - (2035095361*s[24])/28512 + 
       (674736136*s[25])/8019 - (6034238923*s[26])/128304 - 9*s[30] - 
       (52*s[31])/3 + (101*s[32])/4 + (13*s[33])/4 + (47*s[34])/3 + 9*s[35] + 
       (1679*s[36])/18 - (611*s[37])/9 - (19901*s[38])/12 + 
       (98611*s[39])/16 - (1016563*s[40])/144 + (92081*s[41])/16 - 
       (1211459*s[42])/144 - (11008289*s[43])/1584 + (20706109*s[44])/3168 - 
       (15045527*s[45])/1584 + (25760263*s[46])/396 - (4499111*s[47])/9504 - 
       (36480401*s[48])/9504 + (300371129*s[49])/9504 - 
       (10163611*s[50])/198 - (52116673*s[51])/9504 - (39188167*s[52])/9504 + 
       (86566813*s[53])/2376 + (439889*s[54])/198 + (249327317*s[55])/1056 + 
       (186830441*s[56])/3168 - (41198347*s[57])/2376 + 
       (856591675*s[58])/9504 - (298972301*s[59])/3168 - 
       (31658980733*s[60])/57024 + (3792576335*s[61])/128304 - 7*s[65] - 
       28*s[66] + (124*s[67])/3 + (85*s[68])/2 + (89*s[69])/6 - 
       (44*s[70])/3 + 11*s[71] + (68*s[72])/3 + (217*s[73])/3 - 
       (40*s[74])/3 + (40*s[75])/3 + 90*s[76] + (151*s[77])/6 - 37*s[78] - 
       566*s[79] + (794*s[80])/9 - (7001*s[82])/2 + (9*s[83])/2 - 279*s[84] - 
       542*s[85])*\[Zeta][2] + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((-5545*s[2])/24 - (2915*s[3])/16 - (440605*s[4])/96 - 
       (68067*s[5])/16 - (975265*s[6])/96 - (151534739*s[7])/1728 + 
       (15452113*s[8])/2592 + (96231809*s[9])/1296 + (32556049*s[10])/1296 + 
       (166406563*s[11])/1728 + (89377819*s[12])/864 + 
       (107814515*s[13])/1728 + (25976929*s[14])/1728 + 
       (204622091*s[15])/1728 + (8100037*s[16])/54 + (23026297*s[17])/192 + 
       (3741280*s[18])/243 + (115854109*s[19])/7776 + 
       (1378476653*s[20])/7776 + (1020291763*s[21])/15552 - 
       (716001815*s[22])/15552 - (75006113*s[23])/864 - 
       (772778743*s[24])/7776 + (8432716325*s[25])/69984 - 
       (4743157109*s[26])/69984 + (57*s[30])/2 - (367*s[31])/6 + 
       (95*s[32])/3 + (1039*s[33])/48 + (197*s[34])/3 - (455*s[35])/12 + 
       (6163*s[36])/36 - (2509*s[37])/12 - (8947*s[38])/3 + (61885*s[39])/6 - 
       (424819*s[40])/36 + (221059*s[41])/24 - (1988765*s[42])/144 - 
       (2253847*s[43])/198 + (33750271*s[44])/3168 - (1920257*s[45])/132 + 
       (39676097*s[46])/396 - (12056087*s[47])/9504 - (55675223*s[48])/9504 + 
       (479563631*s[49])/9504 - (61266001*s[50])/792 - 
       (86031733*s[51])/9504 - (71529055*s[52])/9504 + 
       (257733217*s[53])/4752 + (1773325*s[54])/792 + 
       (1115496391*s[55])/3168 + (857511065*s[56])/9504 - 
       (42131620*s[57])/891 + (12427605805*s[58])/85536 - 
       (12848777365*s[59])/85536 - (48354917033*s[60])/57024 + 
       (2163199993*s[61])/48114 - (71*s[65])/12 - (65*s[66])/3 + 
       (71*s[67])/2 + (178*s[68])/3 - (97*s[69])/3 - (191*s[70])/6 + 
       (65*s[71])/4 + (175*s[72])/6 + (1043*s[73])/6 - (587*s[74])/24 + 
       (587*s[75])/24 + 120*s[76] + (901*s[77])/12 - (233*s[78])/3 - 
       (2548*s[79])/3 + (1499*s[80])/6 - (8746*s[82])/3 - (45*s[83])/4 - 
       (399*s[84])/2 - (1574*s[85])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((415*s[2])/2 - (1117*s[3])/6 + (10409*s[4])/24 - (187927*s[5])/528 - 
       (63997*s[6])/44 - (983561*s[7])/2376 + (789905*s[8])/3564 + 
       (393023*s[9])/648 - (1650703*s[10])/1296 + (449501*s[11])/9504 + 
       (7403401*s[12])/9504 + (55921*s[13])/132 + (18208207*s[14])/4752 - 
       (142351*s[15])/48 - (2664473*s[16])/1584 - (25364315*s[17])/9504 + 
       (721403*s[18])/243 - (17414879*s[19])/3888 + (140265079*s[20])/42768 + 
       (135890863*s[21])/42768 - (442589*s[22])/10692 - 
       (7170293*s[23])/1056 + (391945283*s[24])/85536 - 
       (498108317*s[25])/384912 - (177655303*s[26])/96228 - 5*s[30] + 
       (136*s[31])/3 - (149*s[32])/3 + (103*s[33])/3 - (391*s[34])/3 - 
       36*s[35] - (1079*s[36])/6 + (493*s[37])/18 + (1285*s[38])/4 - 
       (7237*s[39])/16 + (2381*s[40])/16 - (17561*s[41])/48 + 
       (8855*s[42])/48 + (40303*s[43])/48 - (57659*s[44])/96 - 
       (170789*s[45])/144 + (106493*s[46])/36 - (27131*s[47])/32 + 
       (20315*s[48])/32 - (591721*s[49])/96 + (418*s[50])/3 - 
       (158221*s[51])/288 - (95621*s[52])/96 + (66869*s[53])/216 - 
       (237721*s[54])/36 + (2013097*s[55])/288 + (10291165*s[56])/864 - 
       (10198501*s[57])/648 + (88850837*s[58])/7776 - (43903289*s[59])/7776 - 
       (2636849*s[60])/1728 + (204461431*s[61])/34992 - 4*s[66] - 
       (106*s[68])/3 + 80*s[69] - 6*s[70] + 10*s[71] - 16*s[72] - 159*s[73] + 
       8*s[74] - 8*s[75] - (266*s[76])/3 - 6*s[77] + 105*s[78] - 
       (694*s[79])/3 + (2596*s[80])/9 + 228*s[82] + (3*s[83])/2 - 117*s[84] - 
       500*s[85])*\[Zeta][2] + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((-1909*s[2])/12 + (10003*s[3])/72 - (105349*s[4])/36 - 
       (683389*s[5])/198 - (3796915*s[6])/528 - (1826105527*s[7])/28512 + 
       (171559459*s[8])/42768 + (13358279*s[9])/243 + (9042665*s[10])/486 + 
       (1998965659*s[11])/28512 + (2132147717*s[12])/28512 + 
       (106548683*s[13])/2376 + (21729835*s[14])/1782 + 
       (75194755*s[15])/864 + (346860983*s[16])/3168 + 
       (2521740677*s[17])/28512 + (134415457*s[18])/11664 + 
       (122233865*s[19])/11664 + (16798207025*s[20])/128304 + 
       (3177020575*s[21])/64152 - (543140867*s[22])/16038 - 
       (292408961*s[23])/4752 - (9269378707*s[24])/128304 + 
       (200043172369*s[25])/2309472 - (115104431737*s[26])/2309472 - 
       8*s[29] + (121*s[30])/12 - (737*s[31])/18 + (595*s[32])/18 + 
       (6935*s[33])/144 + (2257*s[34])/36 - 25*s[35] + (1174*s[36])/9 - 
       (45751*s[37])/216 - (9157*s[38])/4 + (61841*s[39])/8 - 
       (213107*s[40])/24 + (497599*s[41])/72 - (1482941*s[42])/144 - 
       (6822907*s[43])/792 + (25324723*s[44])/3168 - (52829519*s[45])/4752 + 
       (361541027*s[46])/4752 - (2693233*s[47])/3168 - 
       (14261845*s[48])/3168 + (40274447*s[49])/1056 - (46714267*s[50])/792 - 
       (64027429*s[51])/9504 - (17839333*s[52])/3168 + 
       (146840539*s[53])/3564 + (587492*s[54])/297 + (2549582635*s[55])/
        9504 + (1962739987*s[56])/28512 - (1504362353*s[57])/42768 + 
       (28297402499*s[58])/256608 - (29286891209*s[59])/256608 - 
       (36854611943*s[60])/57024 + (78876758309*s[61])/2309472 - 8*s[63] - 
       (59*s[65])/12 - (65*s[66])/3 + 24*s[67] + (319*s[68])/9 - 
       (17*s[69])/3 - 20*s[70] + (131*s[71])/12 + 19*s[72] + 159*s[73] - 
       (47*s[74])/2 + (47*s[75])/2 + (1121*s[76])/9 + 42*s[77] - 
       (65*s[78])/2 - (6908*s[79])/9 + (24083*s[80])/108 - 2736*s[82] - 
       (45*s[83])/4 - (417*s[84])/2 - 496*s[85])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*((-1027*s[2])/4 + 
       (571*s[3])/9 - (438035*s[4])/144 - (6236419*s[5])/1584 - 
       (2128451*s[6])/264 - (2020307645*s[7])/28512 + 
       (183976919*s[8])/42768 + (236184655*s[9])/3888 + 
       (41250355*s[10])/1944 + (1100535325*s[11])/14256 + 
       (581182513*s[12])/7128 + (77214041*s[13])/1584 + 
       (212401171*s[14])/14256 + (28054537*s[15])/288 + 
       (1159403981*s[16])/9504 + (714618337*s[17])/7128 + 
       (149423537*s[18])/11664 + (69020903*s[19])/5832 + 
       (18771925849*s[20])/128304 + (888377807*s[21])/16038 - 
       (1199675399*s[22])/32076 - (67753171*s[23])/1056 - 
       (20693998909*s[24])/256608 + (219055031279*s[25])/2309472 - 
       (126920634839*s[26])/2309472 - 22*s[29] + (329*s[30])/12 - 
       (1675*s[31])/18 + (1165*s[32])/36 - (329*s[33])/144 + 
       (4007*s[34])/36 - (25*s[35])/3 + (5899*s[36])/36 - (45701*s[37])/216 - 
       (26897*s[38])/12 + (358255*s[39])/48 - (1217585*s[40])/144 + 
       (938203*s[41])/144 - (1416815*s[42])/144 - (13088771*s[43])/1584 + 
       (753431*s[44])/99 - (51917869*s[45])/4752 + (175030595*s[46])/2376 - 
       (548107*s[47])/594 - (19452491*s[48])/4752 + (43532945*s[49])/1188 - 
       (44991499*s[50])/792 - (30323591*s[51])/4752 - (25575637*s[52])/4752 + 
       (570379709*s[53])/14256 + (2623585*s[54])/1188 + 
       (308960233*s[55])/1188 + (237403729*s[56])/3564 - 
       (723773069*s[57])/21384 + (856693226*s[58])/8019 - 
       (886693817*s[59])/8019 - (17784067891*s[60])/28512 + 
       (19167432439*s[61])/577368 + 8*s[63] - (59*s[65])/12 - (41*s[66])/3 + 
       (55*s[67])/2 + (434*s[68])/9 - 27*s[69] - (41*s[70])/3 + 
       (133*s[71])/12 + (76*s[72])/3 + (647*s[73])/3 - (139*s[74])/6 + 
       (139*s[75])/6 + (1315*s[76])/9 + (104*s[77])/3 - (367*s[78])/3 - 
       (5269*s[79])/9 + (16225*s[80])/108 - (8321*s[82])/3 - (45*s[83])/4 - 
       (363*s[84])/2 - (1426*s[85])/3)*\[Zeta][2] + 
     HPL[{0, 0, 0, 1, 1}, 1 - w]*(2807*s[2] - (4205*s[3])/6 + 
       (270263*s[4])/12 + (1103585*s[5])/66 + (1679545*s[6])/44 + 
       (896457833*s[7])/2376 - (79391285*s[8])/3564 - (51594581*s[9])/162 - 
       (9347696*s[10])/81 - (992928587*s[11])/2376 - (131528249*s[12])/297 - 
       (213670483*s[13])/792 - (108475139*s[14])/2376 - (38125049*s[15])/72 - 
       (21770909*s[16])/33 - (1281852193*s[17])/2376 - (23774887*s[18])/486 - 
       (88382551*s[19])/972 - (7952042059*s[20])/10692 - 
       (5714769785*s[21])/21384 + (4251428761*s[22])/21384 + 
       (33078304*s[23])/99 + (2429797345*s[24])/5346 - 
       (12721608532*s[25])/24057 + (6844183525*s[26])/24057 - 68*s[30] + 
       (2444*s[31])/3 - (1666*s[32])/3 + (2245*s[33])/6 - (4484*s[34])/3 + 
       366*s[35] - (6344*s[36])/3 + (6115*s[37])/9 + 15700*s[38] - 
       (89619*s[39])/2 + (99731*s[40])/2 - (241919*s[41])/6 + 
       (323261*s[42])/6 + (3921923*s[43])/66 - (1640401*s[44])/33 + 
       (13147403*s[45])/198 - (44755606*s[46])/99 - (493099*s[47])/66 + 
       (1364197*s[48])/33 - (5943529*s[49])/22 + (11914072*s[50])/33 + 
       (2868403*s[51])/99 + (1533485*s[52])/66 - (151347805*s[53])/594 - 
       (5664880*s[54])/99 - (163238365*s[55])/99 - (215559251*s[56])/594 + 
       (51189161*s[57])/1782 - (1575393503*s[58])/2673 + 
       (1757624549*s[59])/2673 + (1189845274*s[60])/297 - 
       (4341095306*s[61])/24057 + 60*s[65] + 240*s[66] - 360*s[67] - 
       (2324*s[68])/3 + 716*s[69] + 60*s[70] - 112*s[71] - 500*s[72] - 
       3004*s[73] + 405*s[74] - 405*s[75] - (6388*s[76])/3 - 730*s[77] + 
       1576*s[78] + (7144*s[79])/3 + (6482*s[80])/9 + 18680*s[82] + 
       216*s[83] - 48*s[84] - 464*s[85])*\[Zeta][2] + 
     HPL[{0, 0, 0, 1, 1}, 1 - v]*(2975*s[2] - (4955*s[3])/6 + 
       (268307*s[4])/12 + (1196945*s[5])/66 + (1746945*s[6])/44 + 
       (947794691*s[7])/2376 - (83457593*s[8])/3564 - (27301825*s[9])/81 - 
       (10109204*s[10])/81 - (1046797781*s[11])/2376 - 
       (138397643*s[12])/297 - (74343655*s[13])/264 - 
       (127458281*s[14])/2376 - (13462093*s[15])/24 - (69193561*s[16])/99 - 
       (1362768307*s[17])/2376 - (13262063*s[18])/243 - 
       (91537141*s[19])/972 - (8499752845*s[20])/10692 - 
       (6175398011*s[21])/21384 + (4495460107*s[22])/21384 + 
       (3778495*s[23])/11 + (2571011449*s[24])/5346 - 
       (53255030143*s[25])/96228 + (29061186295*s[26])/96228 - 62*s[30] + 
       (2264*s[31])/3 - (1450*s[32])/3 + (509*s[33])/3 - (4166*s[34])/3 + 
       306*s[35] - (6416*s[36])/3 + (5269*s[37])/9 + 15892*s[38] - 
       (90437*s[39])/2 + (100685*s[40])/2 - (244085*s[41])/6 + 
       (326603*s[42])/6 + (3946781*s[43])/66 - (3300953*s[44])/66 + 
       (13226117*s[45])/198 - (45017470*s[46])/99 - (239992*s[47])/33 + 
       (2742499*s[48])/66 - (8979934*s[49])/33 + (11982820*s[50])/33 + 
       (5820497*s[51])/198 + (260890*s[52])/11 - (151731061*s[53])/594 - 
       (5819896*s[54])/99 - (327636173*s[55])/198 - (108169285*s[56])/297 + 
       (64878665*s[57])/1782 - (3181671073*s[58])/5346 + 
       (3542025169*s[59])/5346 + (4785454219*s[60])/1188 - 
       (4362231842*s[61])/24057 - 48*s[63] + 60*s[65] + 240*s[66] - 
       360*s[67] - (2504*s[68])/3 + 760*s[69] + 84*s[70] - 112*s[71] - 
       500*s[72] - 3004*s[73] + 405*s[74] - 405*s[75] - (6436*s[76])/3 - 
       786*s[77] + 1576*s[78] + (7000*s[79])/3 + (7526*s[80])/9 + 
       18680*s[82] + 216*s[83] - 48*s[84] - 464*s[85])*\[Zeta][2] + 
     HPL[{0, 0, 0, 1, 1}, 1 - u]*(3156*s[2] - (3013*s[3])/3 + 
       (51596*s[4])/3 + (588628*s[5])/33 + (388133*s[6])/11 + 
       (424192753*s[7])/1188 - (14772836*s[8])/891 - (49364309*s[9])/162 - 
       (9640061*s[10])/81 - (466066015*s[11])/1188 - (120770324*s[12])/297 - 
       (32432585*s[13])/132 - (74299105*s[14])/1188 - (6137777*s[15])/12 - 
       (124992485*s[16])/198 - (634434011*s[17])/1188 - 
       (22340953*s[18])/486 - (44063057*s[19])/486 - (3879880541*s[20])/
        5346 - (2841044587*s[21])/10692 + (2018600759*s[22])/10692 + 
       (5501855*s[23])/22 + (2370715477*s[24])/5346 - 
       (46754940325*s[25])/96228 + (25903764301*s[26])/96228 + 144*s[29] - 
       98*s[30] + (2540*s[31])/3 - (1768*s[32])/3 + (1723*s[33])/6 - 
       (4166*s[34])/3 + 416*s[35] - (5716*s[36])/3 - (1793*s[37])/9 + 
       13624*s[38] - 35312*s[39] + (119864*s[40])/3 - (98974*s[41])/3 + 
       (118034*s[42])/3 + (1782824*s[43])/33 - (2828011*s[44])/66 + 
       (12393929*s[45])/198 - (80628863*s[46])/198 - (1364287*s[47])/99 + 
       (4651877*s[48])/99 - (24288767*s[49])/99 + (10886258*s[50])/33 + 
       (1936271*s[51])/99 + (2956907*s[52])/198 - (137738749*s[53])/594 - 
       (6314092*s[54])/99 - (149901592*s[55])/99 - (95009674*s[56])/297 - 
       (78514247*s[57])/891 - (2661299569*s[58])/5346 + 
       (1509521207*s[59])/2673 + (4384867145*s[60])/1188 - 
       (15593067491*s[61])/96228 + 48*s[63] + 84*s[65] + 400*s[66] - 
       504*s[67] - (2684*s[68])/3 + 436*s[69] + 172*s[70] - 148*s[71] - 
       680*s[72] - 2968*s[73] + 506*s[74] - 506*s[75] - (6280*s[76])/3 - 
       832*s[77] + 1324*s[78] + (4648*s[79])/3 + (8594*s[80])/9 + 
       18680*s[82] + 216*s[83] - 48*s[84] - 464*s[85])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*((-797*s[2])/2 - 
       (4183*s[3])/12 - (94711*s[4])/24 - (65275*s[5])/22 - 
       (2140013*s[6])/264 - (318852811*s[7])/4752 + (29845241*s[8])/7128 + 
       (18193493*s[9])/324 + (1586605*s[10])/81 + (353621531*s[11])/4752 + 
       (23713177*s[12])/297 + (231625201*s[13])/4752 + 
       (48151151*s[14])/4752 + (39421673*s[15])/432 + 
       (275135951*s[16])/2376 + (147184091*s[17])/1584 + 
       (10633333*s[18])/972 + (25520731*s[19])/1944 + 
       (2853129601*s[20])/21384 + (2098575089*s[21])/42768 - 
       (1494593833*s[22])/42768 - (156059329*s[23])/2376 - 
       (1668167735*s[24])/21384 + (4500362545*s[25])/48114 - 
       (2494896595*s[26])/48114 + (26*s[30])/3 - (346*s[31])/3 + 
       (46*s[32])/3 - (241*s[33])/12 + (434*s[34])/3 - (257*s[35])/3 + 
       (1753*s[36])/9 - (1943*s[37])/18 - (7820*s[38])/3 + (20113*s[39])/3 - 
       (70402*s[40])/9 + (18184*s[41])/3 - (68669*s[42])/9 - 
       (1007345*s[43])/99 + (3057809*s[44])/396 - (5475097*s[45])/396 + 
       (3685659*s[46])/44 + (2174873*s[47])/1188 - (10182967*s[48])/1188 + 
       (50204383*s[49])/1188 - (12697435*s[50])/198 - (5057273*s[51])/1188 - 
       (4997849*s[52])/1188 + (18269263*s[53])/396 + (157384*s[54])/33 + 
       (30412543*s[55])/99 + (91683701*s[56])/1188 - (12831443*s[57])/3564 + 
       (1202228635*s[58])/10692 - (643654739*s[59])/5346 - 
       (650400767*s[60])/891 + (7360821671*s[61])/192456 - (61*s[65])/3 - 
       (286*s[66])/3 + (370*s[67])/3 + 160*s[68] + (76*s[69])/3 - 
       (146*s[70])/3 + (121*s[71])/3 + (418*s[72])/3 + (1054*s[73])/3 - 
       (239*s[74])/2 + (239*s[75])/2 + 364*s[76] + (379*s[77])/3 - 
       (494*s[78])/3 - (1408*s[79])/3 + (37*s[80])/9 - 3380*s[82] - 
       11*s[83] - 26*s[84] - 432*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*(-9*s[2] - (167*s[3])/2 - 
       (5063*s[4])/4 - 1524*s[5] - (15891*s[6])/4 - (220631*s[7])/8 + 
       (72515*s[8])/36 + (210191*s[9])/9 + (124649*s[10])/18 + 
       (728999*s[11])/24 + (199765*s[12])/6 + (486329*s[13])/24 + 
       (145667*s[14])/24 + (279291*s[15])/8 + (274685*s[16])/6 + 
       (849017*s[17])/24 + (166477*s[18])/27 + (263021*s[19])/108 + 
       (6065407*s[20])/108 + (4702397*s[21])/216 - (3100465*s[22])/216 - 
       (189751*s[23])/6 - (779159*s[24])/27 + (36543019*s[25])/972 - 
       (21609355*s[26])/972 + 48*s[30] - 12*s[31] - 2*s[32] + (23*s[33])/2 - 
       28*s[34] - 38*s[35] - (142*s[36])/3 - (298*s[37])/3 - 864*s[38] + 
       3278*s[39] - (11384*s[40])/3 + 2764*s[41] - (14119*s[42])/3 - 
       (95962*s[43])/33 + (382147*s[44])/132 - (142849*s[45])/33 + 
       (964937*s[46])/33 - (575567*s[47])/396 - (176927*s[48])/396 + 
       (4551413*s[49])/396 - (684955*s[50])/33 - (1387387*s[51])/396 - 
       (1310275*s[52])/396 + (2898485*s[53])/198 - (123949*s[54])/33 + 
       (12705545*s[55])/132 + (4049437*s[56])/132 - (728037*s[57])/22 + 
       (58665751*s[58])/1188 - (56098795*s[59])/1188 - 
       (544808579*s[60])/2376 + (40169555*s[61])/2673 - 2*s[65] - 4*s[66] + 
       12*s[67] - 20*s[68] + 40*s[69] + 32*s[70] + 10*s[71] - 12*s[72] - 
       52*s[73] + 5*s[74] - 5*s[75] + 24*s[76] - 62*s[77] - 16*s[78] - 
       328*s[79] + (424*s[80])/3 - 416*s[82] + 6*s[83] - 108*s[84] - 
       400*s[85])*\[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      (-95*s[2] - (61*s[3])/2 - (773*s[4])/4 - (14258*s[5])/11 - 
       (127887*s[6])/44 - (4506269*s[7])/264 + (71105*s[8])/132 + 
       (45073*s[9])/3 + (30631*s[10])/6 + (1603881*s[11])/88 + 
       (205877*s[12])/11 + (2951977*s[13])/264 + (686329*s[14])/88 + 
       (542611*s[15])/24 + (1895233*s[16])/66 + (6560117*s[17])/264 + 
       (40387*s[18])/9 + (30401*s[19])/36 + (15153797*s[20])/396 + 
       (1425007*s[21])/88 - (7058947*s[22])/792 - (427282*s[23])/33 - 
       (3605035*s[24])/198 + (24363971*s[25])/1188 - (16921583*s[26])/1188 - 
       16*s[29] + 8*s[30] - 20*s[31] + 6*s[32] + (77*s[33])/2 - 40*s[34] - 
       42*s[35] - 154*s[36] - 7*s[37] - 334*s[38] + 916*s[39] - 1266*s[40] + 
       885*s[41] - 1206*s[42] - (11920*s[43])/11 + (38371*s[44])/44 - 
       (59313*s[45])/22 + (316131*s[46])/22 - (16469*s[47])/44 - 
       (39349*s[48])/44 + (133887*s[49])/44 - (106659*s[50])/11 - 
       (171503*s[51])/132 - (60921*s[52])/44 + (75664*s[53])/11 - 
       (38942*s[54])/11 + (6456871*s[55])/132 + (803465*s[56])/44 - 
       (796051*s[57])/66 + (9542425*s[58])/396 - (8522491*s[59])/396 - 
       (29702839*s[60])/264 + (31825231*s[61])/3564 + 8*s[63] - 6*s[65] - 
       20*s[66] + 36*s[67] - 12*s[68] + 72*s[69] + 20*s[70] + 14*s[71] + 
       12*s[72] + 12*s[73] - 13*s[74] + 13*s[75] + 4*s[76] - 50*s[77] + 
       56*s[78] - 336*s[79] + 214*s[80] - 416*s[82] + 6*s[83] - 108*s[84] - 
       400*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*((1295*s[2])/6 - (4955*s[3])/12 + 
       (17569*s[4])/24 + (101113*s[5])/132 + (237515*s[6])/264 + 
       (57070787*s[7])/4752 - (6233573*s[8])/7128 - (1713193*s[9])/162 - 
       (417233*s[10])/162 - (66414599*s[11])/4752 - (37028033*s[12])/2376 - 
       (5218351*s[13])/528 + (4382887*s[14])/4752 - (733817*s[15])/48 - 
       (7811339*s[16])/396 - (66768817*s[17])/4752 - (1606687*s[18])/972 - 
       (4336093*s[19])/1944 - (447008359*s[20])/21384 - 
       (349693235*s[21])/42768 + (284906647*s[22])/42768 + 
       (1537097*s[23])/88 + (264677111*s[24])/21384 - 
       (3484297441*s[25])/192456 + (1814151349*s[26])/192456 + 2*s[29] - 
       (2*s[30])/3 + (290*s[31])/3 - (244*s[32])/3 - (11*s[33])/12 - 
       (592*s[34])/3 + (65*s[35])/3 - (731*s[36])/3 + (3565*s[37])/18 + 
       936*s[38] - (38453*s[39])/12 + (13371*s[40])/4 - (9777*s[41])/4 + 
       (52031*s[42])/12 + (377303*s[43])/132 - (391805*s[44])/132 + 
       (158849*s[45])/99 - (6753995*s[46])/396 + (284023*s[47])/396 + 
       (59825*s[48])/198 - (1365523*s[49])/99 + (854857*s[50])/66 + 
       (920305*s[51])/396 + (191342*s[52])/99 - (2609260*s[53])/297 - 
       (221207*s[54])/99 - (5169053*s[55])/99 - (3259742*s[56])/297 + 
       (86413805*s[57])/3564 - (147524255*s[58])/5346 + 
       (326172463*s[59])/10692 + (168444703*s[60])/1188 - 
       (904080005*s[61])/192456 - 5*s[65] - 14*s[66] + 24*s[67] - 
       (88*s[68])/3 + 114*s[69] - 16*s[70] + 9*s[71] - 6*s[72] - 258*s[73] - 
       (31*s[74])/6 + (31*s[75])/6 - 134*s[76] - (157*s[77])/3 + 194*s[78] + 
       (320*s[79])/3 + (331*s[80])/9 + 638*s[82] + (93*s[83])/2 - 3*s[84] - 
       384*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
      (218*s[2] - 200*s[3] + 1266*s[4] - (336*s[5])/11 - (12054*s[6])/11 + 
       (4538059*s[7])/396 - (525737*s[8])/594 - (501481*s[9])/54 - 
       (318815*s[10])/54 - (4756775*s[11])/396 - (2194127*s[12])/198 - 
       (2338111*s[13])/396 + (992149*s[14])/396 - (820757*s[15])/36 - 
       (2395051*s[16])/99 - (3026255*s[17])/132 + (179432*s[18])/81 - 
       (1380109*s[19])/162 - (19635983*s[20])/891 - (16372361*s[21])/3564 + 
       (22134259*s[22])/3564 + (55927*s[23])/198 + (18126706*s[24])/891 - 
       (271898089*s[25])/16038 + (47691449*s[26])/8019 - 8*s[30] + 20*s[31] - 
       76*s[32] + 22*s[33] - 104*s[34] - 80*s[35] - (1046*s[36])/3 - 
       (374*s[37])/3 + 324*s[38] - (2541*s[39])/2 + (6859*s[40])/6 - 
       (3173*s[41])/2 + (8711*s[42])/6 + (149513*s[43])/66 - 
       (284527*s[44])/132 + (17338*s[45])/33 - (714667*s[46])/66 - 
       (642673*s[47])/396 + (791969*s[48])/396 - (5774621*s[49])/396 + 
       (453124*s[50])/33 - (18527*s[51])/396 - (550547*s[52])/396 - 
       (1900163*s[53])/198 - (371066*s[54])/33 - (7207787*s[55])/132 + 
       (391555*s[56])/132 - (3621722*s[57])/99 + (266399*s[58])/396 + 
       (1311257*s[59])/132 + (314993075*s[60])/2376 + (8586113*s[61])/10692 - 
       76*s[68] + 136*s[69] + 16*s[70] + 16*s[71] - 16*s[72] - 208*s[73] - 
       4*s[74] + 4*s[75] - 84*s[76] - 68*s[77] + 96*s[78] - 184*s[79] + 
       (1052*s[80])/3 + 1816*s[82] - 3*s[83] + 42*s[84] - 376*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      ((-637*s[2])/12 - (1163*s[3])/24 - (112463*s[4])/48 - 
       (555887*s[5])/264 - (2573269*s[6])/528 - (424410775*s[7])/9504 + 
       (47710321*s[8])/14256 + (24560221*s[9])/648 + (8312135*s[10])/648 + 
       (461603215*s[11])/9504 + (247664017*s[12])/4752 + 
       (97874945*s[13])/3168 + (72905629*s[14])/9504 + (17536951*s[15])/288 + 
       (5048543*s[16])/66 + (581298101*s[17])/9504 + (15744017*s[18])/1944 + 
       (27656765*s[19])/3888 + (3898892867*s[20])/42768 + 
       (2850046003*s[21])/85536 - (2010633191*s[22])/85536 - 
       (72171623*s[23])/1584 - (2138414257*s[24])/42768 + 
       (23421565691*s[25])/384912 - (13144379939*s[26])/384912 - 
       (16*s[30])/3 - (38*s[31])/3 + (22*s[32])/3 + s[33]/24 + (16*s[34])/3 + 
       (41*s[35])/6 + (325*s[36])/4 - (751*s[37])/18 - (4929*s[38])/4 + 
       (245129*s[39])/48 - (279949*s[40])/48 + (75317*s[41])/16 - 
       (351043*s[42])/48 - (2611351*s[43])/528 + (5478545*s[44])/1056 - 
       (5017081*s[45])/792 + (74189501*s[46])/1584 - (3695077*s[47])/3168 - 
       (5652571*s[48])/3168 + (72712951*s[49])/3168 - (9714755*s[50])/264 - 
       (5266453*s[51])/1056 - (11860955*s[52])/3168 + (30544909*s[53])/1188 + 
       (332749*s[54])/792 + (522045475*s[55])/3168 + (401273179*s[56])/9504 - 
       (93780827*s[57])/3564 + (5870167625*s[58])/85536 - 
       (6025714787*s[59])/85536 - (2484797207*s[60])/6336 + 
       (16208695643*s[61])/769824 - s[65] - 4*s[66] + 6*s[67] + 
       (25*s[68])/3 - 4*s[70] + (7*s[71])/2 - 18*s[72] + (17*s[73])/2 + 
       (109*s[74])/6 - (109*s[75])/6 + 18*s[76] + (49*s[77])/3 - 
       (35*s[78])/2 - (1544*s[79])/3 + (1115*s[80])/9 - 1726*s[82] - 
       232*s[84] - 368*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*(-378*s[2] + (68*s[3])/3 - (167623*s[4])/48 - 
       (1042867*s[5])/264 - (95830*s[6])/11 - (177944251*s[7])/2376 + 
       (8079293*s[8])/1782 + (41346517*s[9])/648 + (14381231*s[10])/648 + 
       (782006113*s[11])/9504 + (831351935*s[12])/9504 + 
       (83403967*s[13])/1584 + (67751237*s[14])/4752 + (14670317*s[15])/144 + 
       (11348025*s[16])/88 + (996485363*s[17])/9504 + (51123775*s[18])/3888 + 
       (12745991*s[19])/972 + (6526919273*s[20])/42768 + 
       (2455841471*s[21])/42768 - (421945633*s[22])/10692 - 
       (219986257*s[23])/3168 - (7317244793*s[24])/85536 + 
       (4894013737*s[25])/48114 - (5587662143*s[26])/96228 - 12*s[29] + 
       (69*s[30])/4 - (677*s[31])/6 + (385*s[32])/6 - (511*s[33])/48 + 
       (1951*s[34])/12 - (79*s[35])/2 + (734*s[36])/3 - (4877*s[37])/36 - 
       2533*s[38] + (131599*s[39])/16 - (450397*s[40])/48 + 
       (347567*s[41])/48 - (509773*s[42])/48 - (5126911*s[43])/528 + 
       (9185405*s[44])/1056 - (19614593*s[45])/1584 + (65731939*s[46])/792 - 
       (895715*s[47])/3168 - (18446369*s[48])/3168 + (136086851*s[49])/3168 - 
       (8428111*s[50])/132 - (20822951*s[51])/3168 - (17821699*s[52])/3168 + 
       (53463601*s[53])/1188 + (3014719*s[54])/792 + (927464965*s[55])/3168 + 
       (703525255*s[56])/9504 - (117255689*s[57])/3564 + 
       (10125656903*s[58])/85536 - (10574076035*s[59])/85536 - 
       (13443973387*s[60])/19008 + (14163079453*s[61])/384912 - 8*s[63] - 
       8*s[65] - 36*s[66] + 48*s[67] + (268*s[68])/3 - 48*s[69] - 18*s[70] + 
       (35*s[71])/2 + 59*s[72] + 330*s[73] - (183*s[74])/4 + (183*s[75])/4 + 
       (701*s[76])/3 + (177*s[77])/2 - 197*s[78] - (1670*s[79])/3 + 
       (2005*s[80])/18 - (5833*s[82])/2 - (45*s[83])/2 - 105*s[84] - 
       366*s[85])*\[Zeta][2] + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((-835*s[2])/3 - (551*s[3])/8 - (112403*s[4])/24 - (93305*s[5])/22 - 
       (4743803*s[6])/528 - (815413963*s[7])/9504 + (87897077*s[8])/14256 + 
       (47152451*s[9])/648 + (15780787*s[10])/648 + (897414347*s[11])/9504 + 
       (966351385*s[12])/9504 + (18112988*s[13])/297 + 
       (14103235*s[14])/1188 + (100864529*s[15])/864 + 
       (1395838963*s[16])/9504 + (123121337*s[17])/1056 + 
       (55930787*s[18])/3888 + (60812665*s[19])/3888 + 
       (7352661367*s[20])/42768 + (1348154597*s[21])/21384 - 
       (966257209*s[22])/21384 - (415569961*s[23])/4752 - 
       (4176077099*s[24])/42768 + (91584693947*s[25])/769824 - 
       (50692338119*s[26])/769824 + 2*s[29] + (3*s[30])/4 - (359*s[31])/6 + 
       (433*s[32])/12 + (551*s[33])/48 + (1573*s[34])/12 + (211*s[35])/6 + 
       (11099*s[36])/36 - (6085*s[37])/24 - (38309*s[38])/12 + 
       (538255*s[39])/48 - (1787297*s[40])/144 + (465451*s[41])/48 - 
       (1087115*s[42])/72 - (18384979*s[43])/1584 + (17629825*s[44])/1584 - 
       (7213873*s[45])/528 + (78359027*s[46])/792 - (9183149*s[47])/4752 - 
       (5279309*s[48])/1188 + (63268739*s[49])/1188 - (61196495*s[50])/792 - 
       (45966337*s[51])/4752 - (18375935*s[52])/2376 + 
       (256928273*s[53])/4752 + (453412*s[54])/99 + (34241296*s[55])/99 + 
       (200285113*s[56])/2376 - (740822447*s[57])/14256 + 
       (6136695133*s[58])/42768 - (6429485311*s[59])/42768 - 
       (23918290037*s[60])/28512 + (8110193615*s[61])/192456 + 8*s[63] - 
       (19*s[65])/12 - (37*s[66])/3 + (23*s[67])/2 + (146*s[68])/3 - 
       (233*s[69])/3 - (101*s[70])/3 + (7*s[71])/4 + (31*s[72])/3 + 
       (806*s[73])/3 - (71*s[74])/12 + (71*s[75])/12 + 160*s[76] + 
       (535*s[77])/6 - (508*s[78])/3 - (1679*s[79])/3 + (797*s[80])/12 - 
       (9326*s[82])/3 - (45*s[83])/4 - (399*s[84])/2 - (1054*s[85])/3)*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-481*s[2])/4 - (11315*s[3])/72 - (293183*s[4])/72 - 
       (320027*s[5])/99 - (4629349*s[6])/528 - (2019637165*s[7])/28512 + 
       (230930233*s[8])/42768 + (14576171*s[9])/243 + (8912681*s[10])/486 + 
       (2221414417*s[11])/28512 + (2431019045*s[12])/28512 + 
       (27216617*s[13])/528 + (159695939*s[14])/14256 + (8873881*s[15])/96 + 
       (1126491169*s[16])/9504 + (2595127343*s[17])/28512 + 
       (166093465*s[18])/11664 + (100698695*s[19])/11664 + 
       (18195763811*s[20])/128304 + (6767636243*s[21])/128304 - 
       (4770138685*s[22])/128304 - (131616625*s[23])/1584 - 
       (9686795365*s[24])/128304 + (226555121797*s[25])/2309472 - 
       (127938996781*s[26])/2309472 - (97*s[30])/4 - (953*s[31])/18 - 
       (23*s[32])/18 - (2953*s[33])/144 + (1309*s[34])/36 - (83*s[35])/3 + 
       (503*s[36])/18 - (34171*s[37])/216 - (26213*s[38])/12 + 
       (33481*s[39])/4 - (38191*s[40])/4 + (265667*s[41])/36 - 
       (1727627*s[42])/144 - (3069617*s[43])/396 + (24464257*s[44])/3168 - 
       (45308135*s[45])/4752 + (334816721*s[46])/4752 - 
       (8463487*s[47])/3168 - (5774119*s[48])/3168 + (34557533*s[49])/1056 - 
       (41373655*s[50])/792 - (79988083*s[51])/9504 - (23240683*s[52])/3168 + 
       (129828229*s[53])/3564 - (2809457*s[54])/594 + 
       (2235418585*s[55])/9504 + (1936779265*s[56])/28512 - 
       (2923318181*s[57])/42768 + (28956139973*s[58])/256608 - 
       (28707365807*s[59])/256608 - (32369184929*s[60])/57024 + 
       (75277738919*s[61])/2309472 - (35*s[65])/12 - (41*s[66])/3 + 
       (76*s[67])/3 - (29*s[68])/9 + (179*s[69])/3 + (10*s[70])/3 + 
       (263*s[71])/12 - (59*s[72])/3 + (8*s[73])/3 + (39*s[74])/2 - 
       (39*s[75])/2 + (761*s[76])/9 - (20*s[77])/3 - (229*s[78])/6 - 
       (8822*s[79])/9 + (27995*s[80])/108 - 196*s[82] - (51*s[83])/4 - 
       (815*s[84])/2 - 340*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*((-1309*s[2])/6 - (95*s[3])/12 - 
       (22889*s[4])/6 - (66653*s[5])/22 - (1972361*s[6])/264 - 
       (316131505*s[7])/4752 + (34526557*s[8])/7128 + (4557586*s[9])/81 + 
       (5982437*s[10])/324 + (173978759*s[11])/2376 + 
       (376103753*s[12])/4752 + (25203817*s[13])/528 + 
       (44498833*s[14])/4752 + (12899287*s[15])/144 + (44947897*s[16])/396 + 
       (212463289*s[17])/2376 + (11223809*s[18])/972 + (5386751*s[19])/486 + 
       (2839725857*s[20])/21384 + (2076176731*s[21])/42768 - 
       (1498802729*s[22])/42768 - (12479097*s[23])/176 - 
       (3188560751*s[24])/42768 + (8892064465*s[25])/96228 - 
       (4913662885*s[26])/96228 + (11*s[30])/6 - (172*s[31])/3 + 
       (101*s[32])/3 - (631*s[33])/24 + (577*s[34])/6 + (2*s[35])/3 + 
       (1243*s[36])/6 - (3703*s[37])/36 - 2335*s[38] + (71015*s[39])/8 - 
       (80091*s[40])/8 + (192631*s[41])/24 - (296917*s[42])/24 - 
       (2365667*s[43])/264 + (1552447*s[44])/176 - (8016785*s[45])/792 + 
       (30340867*s[46])/396 - (2657207*s[47])/1584 - (5347565*s[48])/1584 + 
       (64432817*s[49])/1584 - (1970539*s[50])/33 - (12746713*s[51])/1584 - 
       (10204039*s[52])/1584 + (49484033*s[53])/1188 + (180952*s[54])/99 + 
       (419351753*s[55])/1584 + (317311057*s[56])/4752 - 
       (173602279*s[57])/3564 + (4837897997*s[58])/42768 - 
       (5020766081*s[59])/42768 - (6100307341*s[60])/9504 + 
       (6361587739*s[61])/192456 + (122*s[68])/3 - 72*s[69] - 16*s[70] + 
       10*s[71] - 12*s[72] + 148*s[73] + (59*s[74])/6 - (59*s[75])/6 + 
       98*s[76] + (215*s[77])/3 - 104*s[78] - (2092*s[79])/3 + 
       (2825*s[80])/18 - 1260*s[82] - s[83]/2 - 265*s[84] - 340*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      ((148*s[2])/3 - (719*s[3])/12 - (4987*s[4])/6 - (28207*s[5])/22 - 
       (661825*s[6])/264 - (107139775*s[7])/4752 + (11440387*s[8])/7128 + 
       (6248869*s[9])/324 + (2245619*s[10])/324 + (57773621*s[11])/2376 + 
       (122471981*s[12])/4752 + (23660191*s[13])/1584 + 
       (26181277*s[14])/4752 + (1483363*s[15])/48 + (30841813*s[16])/792 + 
       (75933661*s[17])/2376 + (4452281*s[18])/972 + (3139369*s[19])/972 + 
       (1026101855*s[20])/21384 + (783590287*s[21])/42768 - 
       (507470765*s[22])/42768 - (32247275*s[23])/1584 - 
       (1079144909*s[24])/42768 + (5684668745*s[25])/192456 - 
       (3393276935*s[26])/192456 - s[29] + (35*s[30])/6 + (68*s[31])/3 - 
       (53*s[32])/6 + (1511*s[33])/24 - (257*s[34])/6 + (62*s[35])/3 + 
       (151*s[36])/3 - (2509*s[37])/36 - (2264*s[38])/3 + (32989*s[39])/12 - 
       (12507*s[40])/4 + (14461*s[41])/6 - (44693*s[42])/12 - 
       (385547*s[43])/132 + (128727*s[44])/44 - (3507245*s[45])/792 + 
       (23109569*s[46])/792 - (165745*s[47])/396 - (325505*s[48])/198 + 
       (5341591*s[49])/396 - (3005623*s[50])/132 - (504421*s[51])/198 - 
       (389593*s[52])/198 + (37782463*s[53])/2376 + (191483*s[54])/198 + 
       (41317159*s[55])/396 + (32247097*s[56])/1188 - (10300462*s[57])/891 + 
       (902563699*s[58])/21384 - (459284231*s[59])/10692 - 
       (392438155*s[60])/1584 + (5312790101*s[61])/384912 + 4*s[66] - 
       2*s[67] + (23*s[68])/3 - 6*s[69] - 23*s[70] - s[71] - 10*s[73] + 
       (17*s[74])/6 - (17*s[75])/6 - 10*s[76] + (65*s[77])/3 - 19*s[78] - 
       (529*s[79])/3 + (689*s[80])/18 - 2028*s[82] - s[83]/2 - 73*s[84] - 
       340*s[85])*\[Zeta][2] + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((-1031*s[2])/4 + (2623*s[3])/72 - (33460*s[4])/9 - (425657*s[5])/99 - 
       (4497611*s[6])/528 - (1153380761*s[7])/14256 + (13646641*s[8])/2673 + 
       (268632851*s[9])/3888 + (96599209*s[10])/3888 + 
       (2507350225*s[11])/28512 + (2640665303*s[12])/28512 + 
       (4833977*s[13])/88 + (222775343*s[14])/14256 + (4071149*s[15])/36 + 
       (333646663*s[16])/2376 + (3306371537*s[17])/28512 + 
       (9985159*s[18])/729 + (176343917*s[19])/11664 + 
       (10706998645*s[20])/64152 + (7997417003*s[21])/128304 - 
       (2736997973*s[22])/64152 - (226413785*s[23])/3168 - 
       (24078910193*s[24])/256608 + (125444998157*s[25])/1154736 - 
       (71718086003*s[26])/1154736 - 8*s[29] + (337*s[30])/12 - 
       (773*s[31])/18 + (781*s[32])/18 + (7223*s[33])/144 + (3121*s[34])/36 + 
       (55*s[35])/3 + (3997*s[36])/18 - (23635*s[37])/216 - 
       (30421*s[38])/12 + (53869*s[39])/6 - (91222*s[40])/9 + 
       (73151*s[41])/9 - (1735015*s[42])/144 - (977587*s[43])/99 + 
       (7483511*s[44])/792 - (57212999*s[45])/4752 + (407029133*s[46])/4752 - 
       (3794161*s[47])/4752 - (24207433*s[48])/4752 + 
       (108676283*s[49])/2376 - (53812019*s[50])/792 - 
       (18286229*s[51])/2376 - (13966717*s[52])/2376 + 
       (677195323*s[53])/14256 + (12635893*s[54])/2376 + 
       (726157489*s[55])/2376 + (521696347*s[56])/7128 - 
       (1279149779*s[57])/42768 + (7690058399*s[58])/64152 - 
       (16259120239*s[59])/128304 - (20983906937*s[60])/28512 + 
       (85093851971*s[61])/2309472 + 8*s[63] - (43*s[65])/12 - (49*s[66])/3 + 
       20*s[67] + (565*s[68])/9 - 67*s[69] - (82*s[70])/3 + (59*s[71])/12 + 
       (53*s[72])/3 + (562*s[73])/3 - (41*s[74])/6 + (41*s[75])/6 + 
       (881*s[76])/9 + (226*s[77])/3 - (445*s[78])/6 - (5342*s[79])/9 + 
       (10019*s[80])/108 - (8788*s[82])/3 - (45*s[83])/4 - (417*s[84])/2 - 
       (968*s[85])/3)*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*((123*s[2])/2 - 103*s[3] - (3491*s[4])/8 - 
       (35399*s[5])/176 - (143515*s[6])/88 - (1241203*s[7])/198 + 
       (487393*s[8])/792 + (378581*s[9])/72 + (72461*s[10])/144 + 
       (2586975*s[11])/352 + (9675889*s[12])/1056 + (9234343*s[13])/1584 + 
       (274889*s[14])/176 + (769949*s[15])/144 + (14155825*s[16])/1584 + 
       (14621263*s[17])/3168 + (345589*s[18])/144 - (87595*s[19])/72 + 
       (4798223*s[20])/396 + (23148269*s[21])/4752 - (7674619*s[22])/2376 - 
       (41501641*s[23])/3168 - (41499097*s[24])/9504 + 
       (396435101*s[25])/42768 - (120770935*s[26])/21384 + 2*s[29] - 
       11*s[30] + 6*s[31] - 30*s[32] + (23*s[33])/2 - 37*s[34] - 43*s[35] - 
       (497*s[36])/3 - (349*s[37])/12 - (583*s[38])/4 + (12065*s[39])/16 - 
       (55027*s[40])/48 + (11231*s[41])/16 - (57107*s[42])/48 - 
       (359657*s[43])/528 + (797281*s[44])/1056 - (802465*s[45])/528 + 
       (792687*s[46])/88 - (1558559*s[47])/3168 - (1592945*s[48])/3168 + 
       (4120595*s[49])/3168 - (681137*s[50])/132 - (3664207*s[51])/3168 - 
       (3949531*s[52])/3168 + (945595*s[53])/264 - (354947*s[54])/88 + 
       (27427723*s[55])/1056 + (42219961*s[56])/3168 - (5436392*s[57])/297 + 
       (523697957*s[58])/28512 - (432515357*s[59])/28512 - 
       (1197697667*s[60])/19008 + (786275467*s[61])/128304 - 2*s[65] - 
       4*s[66] + 8*s[67] - 12*s[68] + 46*s[69] - 8*s[70] + 7*s[71] - 
       6*s[72] - 34*s[73] - (19*s[74])/2 + (19*s[75])/2 - 14*s[76] + s[77] + 
       24*s[78] - 436*s[79] + (931*s[80])/3 - (1595*s[82])/2 - (15*s[83])/2 - 
       39*s[84] - 316*s[85])*\[Zeta][2] + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*((-8143*s[2])/24 - (8225*s[3])/144 - 
       (1392853*s[4])/288 - (1790809*s[5])/396 - (10664437*s[6])/1056 - 
       (5303181049*s[7])/57024 + (550323547*s[8])/85536 + 
       (306401521*s[9])/3888 + (53128429*s[10])/1944 + 
       (5806693909*s[11])/57024 + (1549437953*s[12])/14256 + 
       (1239324041*s[13])/19008 + (858003709*s[14])/57024 + 
       (220667641*s[15])/1728 + (508207529*s[16])/3168 + 
       (7390713455*s[17])/57024 + (180264341*s[18])/11664 + 
       (399113729*s[19])/23328 + (48265097855*s[20])/256608 + 
       (35466297067*s[21])/513216 - (25128357659*s[22])/513216 - 
       (853758779*s[23])/9504 - (27338186575*s[24])/256608 + 
       (147250715917*s[25])/1154736 - (82147387909*s[26])/1154736 + 
       (145*s[30])/6 - (1639*s[31])/18 + (953*s[32])/18 - (2993*s[33])/144 + 
       (1400*s[34])/9 + (57*s[35])/4 + (12005*s[36])/36 - (31201*s[37])/108 - 
       (6039*s[38])/2 + (88025*s[39])/8 - (294581*s[40])/24 + 
       (694541*s[41])/72 - (541015*s[42])/36 - (8965151*s[43])/792 + 
       (8762021*s[44])/792 - (15407209*s[45])/1188 + (228372281*s[46])/2376 - 
       (996955*s[47])/528 - (2290885*s[48])/528 + (82786115*s[49])/1584 - 
       (59710469*s[50])/792 - (45158485*s[51])/4752 - (2979341*s[52])/396 + 
       (375422005*s[53])/7128 + (2796401*s[54])/594 + 
       (797692823*s[55])/2376 + (1164742651*s[56])/14256 - 
       (2233585795*s[57])/42768 + (1118135516*s[58])/8019 - 
       (4701801791*s[59])/32076 - (23209812557*s[60])/28512 + 
       (47016111611*s[61])/1154736 + (41*s[65])/12 + (35*s[66])/3 - 
       (41*s[67])/2 + (410*s[68])/9 - (409*s[69])/3 - (49*s[70])/2 - 
       (29*s[71])/12 - (21*s[72])/2 + (537*s[73])/2 + (29*s[74])/8 - 
       (29*s[75])/8 + (1120*s[76])/9 + (317*s[77])/4 - 139*s[78] - 
       (6214*s[79])/9 + (8915*s[80])/54 - 2967*s[82] - (45*s[83])/4 - 
       (363*s[84])/2 - 302*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*((-1835*s[2])/12 - (713*s[3])/24 - 
       (173419*s[4])/48 - (549985*s[5])/176 - (7549187*s[6])/1056 - 
       (16951421*s[7])/264 + (141868117*s[8])/28512 + (141312119*s[9])/2592 + 
       (5522279*s[10])/324 + (1341558253*s[11])/19008 + 
       (1458154097*s[12])/19008 + (440172365*s[13])/9504 + 
       (80894117*s[14])/9504 + (9220679*s[15])/108 + (514212169*s[16])/4752 + 
       (1598017801*s[17])/19008 + (92640721*s[18])/7776 + 
       (72845585*s[19])/7776 + (1365317725*s[20])/10692 + 
       (4046460929*s[21])/85536 - (361870625*s[22])/10692 - 
       (1386507827*s[23])/19008 - (11943352475*s[24])/171072 + 
       (137277411979*s[25])/1539648 - (76455911479*s[26])/1539648 - 8*s[29] + 
       (25*s[30])/2 - (131*s[31])/2 + (211*s[32])/12 - (151*s[33])/8 + 
       103*s[34] + (100*s[35])/3 + (3689*s[36])/18 - (16255*s[37])/72 - 
       (9471*s[38])/4 + (441509*s[39])/48 - (1468423*s[40])/144 + 
       (15873*s[41])/2 - (1879589*s[42])/144 - (1204303*s[43])/144 + 
       (2459531*s[44])/288 - (677813*s[45])/72 + (10479743*s[46])/144 - 
       (2438347*s[47])/864 - (1233745*s[48])/864 + (32704351*s[49])/864 - 
       (2010871*s[50])/36 - (7505507*s[51])/864 - (6183365*s[52])/864 + 
       (16793491*s[53])/432 - (3931*s[54])/36 + (70803385*s[55])/288 + 
       (18417293*s[56])/288 - (3067435*s[57])/48 + (292766327*s[58])/2592 - 
       (298821719*s[59])/2592 - (3097482379*s[60])/5184 + 
       (91204913*s[61])/2916 + (7*s[65])/3 + (28*s[66])/3 - 14*s[67] + 
       (37*s[68])/6 - (245*s[69])/6 - (17*s[70])/6 + (7*s[71])/2 - 
       (85*s[72])/3 + (106*s[73])/3 + (353*s[74])/12 - (353*s[75])/12 + 
       (221*s[76])/3 + (149*s[77])/6 - (577*s[78])/6 - 639*s[79] + 
       (3575*s[80])/36 - (2458*s[82])/3 + (3*s[83])/2 - 297*s[84] - 
       (902*s[85])/3)*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*((71*s[2])/2 - (331*s[3])/6 - (15397*s[4])/24 - 
       (457909*s[5])/528 - (172373*s[6])/88 - (35041595*s[7])/2376 + 
       (8632111*s[8])/7128 + (8221529*s[9])/648 + (4787789*s[10])/1296 + 
       (150879101*s[11])/9504 + (163522621*s[12])/9504 + 
       (5328055*s[13])/528 + (16706989*s[14])/4752 + (923221*s[15])/48 + 
       (38995789*s[16])/1584 + (183442597*s[17])/9504 + 
       (13961855*s[18])/3888 + (1626275*s[19])/1944 + 
       (165367883*s[20])/5346 + (513362347*s[21])/42768 - 
       (41506693*s[22])/5346 - (18877895*s[23])/1056 - 
       (1247256181*s[24])/85536 + (7498362541*s[25])/384912 - 
       (2259322139*s[26])/192456 - 8*s[30] + (10*s[31])/3 - (35*s[32])/3 + 
       (61*s[33])/12 - (40*s[34])/3 + 11*s[35] - (4*s[36])/3 - 
       (1003*s[37])/36 - (1141*s[38])/4 + (30253*s[39])/16 - 
       (35053*s[40])/16 + (80065*s[41])/48 - (146071*s[42])/48 - 
       (640285*s[43])/528 + (1769501*s[44])/1056 - (3137923*s[45])/1584 + 
       (12169253*s[46])/792 - (418971*s[47])/352 + (170123*s[48])/352 + 
       (5831413*s[49])/1056 - (1494607*s[50])/132 - (7336811*s[51])/3168 - 
       (1981669*s[52])/1056 + (18927745*s[53])/2376 - (1711231*s[54])/792 + 
       (159461981*s[55])/3168 + (152299175*s[56])/9504 - 
       (36662525*s[57])/1782 + (2263994275*s[58])/85536 - 
       (2124431923*s[59])/85536 - (2214879367*s[60])/19008 + 
       (3056964755*s[61])/384912 + 4*s[65] + 12*s[66] - 24*s[67] - 
       (52*s[68])/3 - 12*s[69] - 6*s[70] - 3*s[71] - 30*s[72] - 50*s[73] + 
       (51*s[74])/2 - (51*s[75])/2 - (80*s[76])/3 + 19*s[77] + 6*s[78] - 
       (628*s[79])/3 + (967*s[80])/9 - 4*s[82] + (3*s[83])/2 - 117*s[84] - 
       292*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*((-743*s[2])/4 - (1265*s[3])/24 - 
       (71557*s[4])/24 - (274039*s[5])/132 - (945035*s[6])/176 - 
       (161074687*s[7])/3168 + (17255969*s[8])/4752 + (9257915*s[9])/216 + 
       (408386*s[10])/27 + (44059889*s[11])/792 + (188788651*s[12])/3168 + 
       (112721971*s[13])/3168 + (23613125*s[14])/3168 + 
       (20189527*s[15])/288 + (139176833*s[16])/1584 + (9315787*s[17])/132 + 
       (10374875*s[18])/1296 + (12904891*s[19])/1296 + (91085719*s[20])/891 + 
       (1029449411*s[21])/28512 - (762292237*s[22])/28512 - 
       (155648789*s[23])/3168 - (1682456095*s[24])/28512 + 
       (565142197*s[25])/8019 - (2446846583*s[26])/64152 - (41*s[30])/12 - 
       (307*s[31])/6 + 39*s[32] - (389*s[33])/16 + (679*s[34])/12 - 
       (97*s[35])/3 + (2525*s[36])/36 - (131*s[37])/4 - (4310*s[38])/3 + 
       (10171*s[39])/2 - (212579*s[40])/36 + (115499*s[41])/24 - 
       (247849*s[42])/36 - (2309503*s[43])/396 + (4334603*s[44])/792 - 
       (1322491*s[45])/176 + (82628317*s[46])/1584 - (801551*s[47])/4752 - 
       (16471403*s[48])/4752 + (31369277*s[49])/1188 - (16344841*s[50])/396 - 
       (1334914*s[51])/297 - (2017217*s[52])/594 + (137705087*s[53])/4752 + 
       (1640483*s[54])/792 + (99027161*s[55])/528 + (110351719*s[56])/2376 - 
       (111238819*s[57])/7128 + (3089976871*s[58])/42768 - 
       (1624747511*s[59])/21384 - (12757466531*s[60])/28512 + 
       (17765740151*s[61])/769824 - 7*s[65] - 28*s[66] + (140*s[67])/3 + 
       50*s[68] + 16*s[69] + s[70]/6 + (29*s[71])/2 + (83*s[72])/3 + 
       (340*s[73])/3 - (143*s[74])/12 + (143*s[75])/12 + (394*s[76])/3 + 
       (74*s[77])/3 - (287*s[78])/6 - (1907*s[79])/3 + (268*s[80])/3 - 
       2405*s[82] - 14*s[83] - 272*s[84] - 288*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((-1561*s[2])/12 - (661*s[3])/12 - (31025*s[4])/12 - 
       (491867*s[5])/176 - (6323621*s[6])/1056 - (254367559*s[7])/4752 + 
       (12188293*s[8])/3168 + (4362671*s[9])/96 + (2228789*s[10])/144 + 
       (369415735*s[11])/6336 + (131384573*s[12])/2112 + 
       (350656237*s[13])/9504 + (30839597*s[14])/3168 + 
       (31635601*s[15])/432 + (27303857*s[16])/297 + (1414651873*s[17])/
        19008 + (25514683*s[18])/2592 + (22181879*s[19])/2592 + 
       (1559354869*s[20])/14256 + (1166071567*s[21])/28512 - 
       (133596623*s[22])/4752 - (1020146539*s[23])/19008 - 
       (379322965*s[24])/6336 + (37170583541*s[25])/513216 - 
       (21210672149*s[26])/513216 + (21*s[30])/2 - (205*s[31])/6 + 17*s[32] + 
       (185*s[33])/24 + (325*s[34])/6 + (101*s[35])/3 + (1262*s[36])/9 - 
       (4601*s[37])/36 - (19685*s[38])/12 + (105897*s[39])/16 - 
       (1060097*s[40])/144 + (69425*s[41])/12 - (1347589*s[42])/144 - 
       (9857791*s[43])/1584 + (1273925*s[44])/198 - (11643833*s[45])/1584 + 
       (1231803*s[46])/22 - (8410103*s[47])/4752 - (2004227*s[48])/1188 + 
       (137652971*s[49])/4752 - (17251519*s[50])/396 - (1844914*s[51])/297 - 
       (22924657*s[52])/4752 + (12082189*s[53])/396 + (213145*s[54])/264 + 
       (306352933*s[55])/1584 + (116737889*s[56])/2376 - 
       (272402897*s[57])/7128 + (447010033*s[58])/5346 - 
       (1842210079*s[59])/21384 - (13267790777*s[60])/28512 + 
       (2357554271*s[61])/96228 + (11*s[65])/3 + (44*s[66])/3 - 22*s[67] + 
       (21*s[68])/2 - (439*s[69])/6 - (91*s[70])/6 - (17*s[71])/4 - 
       (77*s[72])/3 + (296*s[73])/3 + (58*s[74])/3 - (58*s[75])/3 + 
       (125*s[76])/3 + (313*s[77])/6 - (545*s[78])/6 - (1264*s[79])/3 + 
       (1268*s[80])/9 - (4964*s[82])/3 + (3*s[83])/2 - 105*s[84] - 
       (850*s[85])/3)*\[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
      (-27*s[2] - (229*s[3])/12 - (53429*s[4])/24 - (455845*s[5])/264 - 
       (106295*s[6])/22 - (178459379*s[7])/4752 + (11116345*s[8])/3564 + 
       (20540785*s[9])/648 + (6041705*s[10])/648 + (195134693*s[11])/4752 + 
       (106813823*s[12])/2376 + (42970159*s[13])/1584 + 
       (28024643*s[14])/4752 + (7038077*s[15])/144 + (16485937*s[16])/264 + 
       (228163657*s[17])/4752 + (15105143*s[18])/1944 + 
       (7701043*s[19])/1944 + (1596842647*s[20])/21384 + 
       (1187838275*s[21])/42768 - (840079957*s[22])/42768 - 
       (36933001*s[23])/792 - (836077829*s[24])/21384 + 
       (19955396627*s[25])/384912 - (11263351391*s[26])/384912 - 2*s[29] + 
       3*s[30] - (70*s[31])/3 - (11*s[32])/6 - (49*s[33])/12 + (16*s[34])/3 - 
       s[35] + (23*s[36])/2 - (5045*s[37])/36 - (2501*s[38])/2 + 
       (42925*s[39])/8 - (146299*s[40])/24 + (117325*s[41])/24 - 
       (64065*s[42])/8 - (38337*s[43])/8 + (79051*s[44])/16 - 
       (406919*s[45])/72 + (799241*s[46])/18 - (287989*s[47])/144 - 
       (97939*s[48])/144 + (2937355*s[49])/144 - 33423*s[50] - 
       (92259*s[51])/16 - (680219*s[52])/144 + (2534417*s[53])/108 - 
       (129203*s[54])/36 + (21420079*s[55])/144 + (18379831*s[56])/432 - 
       (13822051*s[57])/324 + (273857459*s[58])/3888 - 
       (271867235*s[59])/3888 - (102449381*s[60])/288 + 
       (359446783*s[61])/17496 + 2*s[63] + s[65] + 4*s[66] - 10*s[67] - 
       (65*s[68])/3 + 8*s[69] - s[70] + 10*s[71] - 24*s[72] - 34*s[73] + 
       23*s[74] - 23*s[75] + (32*s[76])/3 - s[77] + s[78] - (1868*s[79])/3 + 
       (3691*s[80])/18 - 274*s[82] - 288*s[84] - 280*s[85])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*((-1700*s[2])/3 + 
       (214*s[3])/3 - (8402*s[4])/3 - (154735*s[5])/44 - (466049*s[6])/66 - 
       (24766883*s[7])/396 + (823291*s[8])/297 + (1445363*s[9])/27 + 
       (2145865*s[10])/108 + (27116321*s[11])/396 + (56164343*s[12])/792 + 
       (11309533*s[13])/264 + (10733671*s[14])/792 + (3216295*s[15])/36 + 
       (29050319*s[16])/264 + (37028401*s[17])/396 + (3038173*s[18])/324 + 
       (2199589*s[19])/162 + (230072455*s[20])/1782 + 
       (351114763*s[21])/7128 - (234835961*s[22])/7128 - (522469*s[23])/11 - 
       (67455568*s[24])/891 + (5358683521*s[25])/64152 - 
       (3111745177*s[26])/64152 - 22*s[29] + (4*s[30])/3 - (352*s[31])/3 + 
       84*s[32] - s[33]/2 + (610*s[34])/3 - (262*s[35])/3 + (2266*s[36])/9 - 
       183*s[37] - (7318*s[38])/3 + (16189*s[39])/3 - (55153*s[40])/9 + 
       (9615*s[41])/2 - (202319*s[42])/36 - (858095*s[43])/99 + 
       (4989859*s[44])/792 - (392548*s[45])/33 + (6940055*s[46])/99 + 
       (5088511*s[47])/2376 - (18020993*s[48])/2376 + (87107837*s[49])/2376 - 
       (5415083*s[50])/99 - (6913471*s[51])/2376 - (6858595*s[52])/2376 + 
       (46716247*s[53])/1188 + (1371619*s[54])/198 + (23200583*s[55])/88 + 
       (149080631*s[56])/2376 + (32909639*s[57])/3564 + 
       (1940034889*s[58])/21384 - (2134642537*s[59])/21384 - 
       (8908960319*s[60])/14256 + (2984523899*s[61])/96228 - 4*s[63] - 
       (64*s[65])/3 - (310*s[66])/3 + (380*s[67])/3 + (316*s[68])/3 + 
       (200*s[69])/3 - (160*s[70])/3 + (100*s[71])/3 + (416*s[72])/3 + 
       460*s[73] - 111*s[74] + 111*s[75] + 340*s[76] + (380*s[77])/3 - 
       (448*s[78])/3 - 372*s[79] - 142*s[80] - 3236*s[82] - 20*s[83] - 
       24*s[84] - 248*s[85])*\[Zeta][2] + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u]*((-1562*s[2])/3 - 62*s[3] - (14629*s[4])/3 - 
       (167045*s[5])/44 - (643099*s[6])/66 - (67069693*s[7])/792 + 
       (18759959*s[8])/3564 + (23039311*s[9])/324 + (4059115*s[10])/162 + 
       (27857620*s[11])/297 + (238161853*s[12])/2376 + 
       (145336451*s[13])/2376 + (29531633*s[14])/2376 + 
       (25095691*s[15])/216 + (43586272*s[16])/297 + (140815597*s[17])/1188 + 
       (6197209*s[18])/486 + (8663747*s[19])/486 + (1801442821*s[20])/10692 + 
       (1311468437*s[21])/21384 - (947134057*s[22])/21384 - 
       (184161061*s[23])/2376 - (2140136101*s[24])/21384 + 
       (2844376654*s[25])/24057 - (1562672407*s[26])/24057 + (188*s[30])/3 - 
       (382*s[31])/3 + (233*s[32])/3 - (299*s[33])/6 + 208*s[34] - 
       (248*s[35])/3 + (3073*s[36])/9 - (574*s[37])/9 - (9713*s[38])/3 + 
       (113771*s[39])/12 - (385165*s[40])/36 + (101947*s[41])/12 - 
       (209437*s[42])/18 - (4932599*s[43])/396 + (8179711*s[44])/792 - 
       (2959145*s[45])/198 + (4371275*s[46])/44 + (2213077*s[47])/2376 - 
       (20106209*s[48])/2376 + (129179243*s[49])/2376 - 
       (15314839*s[50])/198 - (16024687*s[51])/2376 - (13995985*s[52])/2376 + 
       (21747895*s[53])/396 + (157359*s[54])/22 + (283376449*s[55])/792 + 
       (202153141*s[56])/2376 - (57931943*s[57])/3564 + 
       (2872587533*s[58])/21384 - (3098102567*s[59])/21384 - 
       (12308308541*s[60])/14256 + (8186185577*s[61])/192456 - (49*s[65])/3 - 
       (208*s[66])/3 + (302*s[67])/3 + (382*s[68])/3 - (154*s[69])/3 - 
       (112*s[70])/3 + (115*s[71])/3 + (328*s[72])/3 + (1396*s[73])/3 - 
       (254*s[74])/3 + (254*s[75])/3 + (1162*s[76])/3 + (448*s[77])/3 - 
       (850*s[78])/3 - (1420*s[79])/3 - (896*s[80])/9 - 3236*s[82] - 
       20*s[83] - 24*s[84] - 248*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((13*s[2])/3 - (1123*s[3])/6 - (5641*s[4])/12 - (57205*s[5])/132 - 
       (216185*s[6])/132 - (762489*s[7])/88 + (660875*s[8])/1188 + 
       (389177*s[9])/54 + (206579*s[10])/108 + (3877699*s[11])/396 + 
       (8681149*s[12])/792 + (5513465*s[13])/792 + (1537319*s[14])/792 + 
       (736909*s[15])/72 + (1395316*s[16])/99 + (2070251*s[17])/198 + 
       (691031*s[18])/324 + (167035*s[19])/324 + (60772255*s[20])/3564 + 
       (47853629*s[21])/7128 - (31636987*s[22])/7128 - (8771533*s[23])/792 - 
       (62417299*s[24])/7128 + (196088333*s[25])/16038 - 
       (231944527*s[26])/32076 - (4*s[30])/3 - (16*s[31])/3 - (16*s[32])/3 - 
       (47*s[33])/6 - (16*s[34])/3 - (122*s[35])/3 - (374*s[36])/9 - 
       (74*s[37])/3 - 315*s[38] + (2943*s[39])/4 - (36031*s[40])/36 + 
       (7379*s[41])/12 - (28949*s[42])/36 - (473885*s[43])/396 + 
       (651139*s[44])/792 - (329893*s[45])/132 + (1272116*s[46])/99 + 
       (252979*s[47])/2376 - (2929607*s[48])/2376 + (9524501*s[49])/2376 - 
       (868535*s[50])/99 - (1312549*s[51])/2376 - (2157973*s[52])/2376 + 
       (1913938*s[53])/297 - (305015*s[54])/198 + (35967149*s[55])/792 + 
       (35846903*s[56])/2376 - (10460573*s[57])/1782 + 
       (426533359*s[58])/21384 - (408185311*s[59])/21384 - 
       (1492347917*s[60])/14256 + (715292309*s[61])/96228 - 4*s[65] - 
       16*s[66] + 20*s[67] + 12*s[68] + (100*s[69])/3 + 4*s[70] + 10*s[71] + 
       20*s[72] + 4*s[73] - (67*s[74])/3 + (67*s[75])/3 + (100*s[76])/3 + 
       (14*s[77])/3 + (4*s[78])/3 - (304*s[79])/3 + (262*s[80])/3 - 
       634*s[82] - 240*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*(134*s[2] + (13*s[3])/3 + (2234*s[4])/3 + 
       (29635*s[5])/132 + (12455*s[6])/22 + (1892915*s[7])/198 - 
       (55307*s[8])/99 - (70204*s[9])/9 - (131471*s[10])/36 - 
       (2742449*s[11])/264 - (2757041*s[12])/264 - (622553*s[13])/99 - 
       (51677*s[14])/132 - (552391*s[15])/36 - (7128965*s[16])/396 - 
       (12601511*s[17])/792 - (9575*s[18])/54 - (430883*s[19])/108 - 
       (22120157*s[20])/1188 - (2282131*s[21])/396 + (2969995*s[22])/594 + 
       (3912995*s[23])/792 + (32167561*s[24])/2376 - (48454309*s[25])/3564 + 
       (5788951*s[26])/891 + 12*s[31] - (116*s[32])/3 + 18*s[33] - 48*s[34] - 
       28*s[35] - (292*s[36])/3 - (332*s[37])/3 + (889*s[38])/3 - 
       (19523*s[39])/12 + (6897*s[40])/4 - (6615*s[41])/4 + (9443*s[42])/4 + 
       (225985*s[43])/132 - (494495*s[44])/264 + (9333*s[45])/44 - 
       (96533*s[46])/11 - (37667*s[47])/264 + (194147*s[48])/264 - 
       (850253*s[49])/88 + (579415*s[50])/66 + (102197*s[51])/88 + 
       (32465*s[52])/88 - (1164851*s[53])/198 - (117157*s[54])/33 - 
       (25464253*s[55])/792 - (1194559*s[56])/792 - (2215349*s[57])/594 - 
       (55084427*s[58])/7128 + (85134455*s[59])/7128 + (45048569*s[60])/528 - 
       (8429605*s[61])/8019 - 4*s[65] - 16*s[66] + 24*s[67] - (76*s[68])/3 + 
       (328*s[69])/3 + 4*s[70] + 6*s[71] + 16*s[72] - 112*s[73] - 14*s[74] + 
       14*s[75] + 8*s[76] - (148*s[77])/3 + 44*s[78] + (44*s[80])/3 + 
       6*s[82] - 240*s[85])*\[Zeta][2] + HPL[{0, 0, 1, 0, 1}, 1 - w]*
      (1167*s[2] - (803*s[3])/2 + (32855*s[4])/4 + (237641*s[5])/44 + 
       (148635*s[6])/11 + (104353441*s[7])/792 - (2096506*s[8])/297 - 
       (11996327*s[9])/108 - (4419709*s[10])/108 - (116305819*s[11])/792 - 
       (15401461*s[12])/99 - (25230871*s[13])/264 - (12148795*s[14])/792 - 
       (4440875*s[15])/24 - (7631068*s[16])/33 - (149981423*s[17])/792 - 
       (4923577*s[18])/324 - (11137745*s[19])/324 - (919163951*s[20])/3564 - 
       (651436999*s[21])/7128 + (495525053*s[22])/7128 + 
       (14461219*s[23])/132 + (577926637*s[24])/3564 - 
       (11957050903*s[25])/64152 + (6339790471*s[26])/64152 + 6*s[30] + 
       336*s[31] - 232*s[32] + (323*s[33])/2 - 596*s[34] + 234*s[35] - 
       (2219*s[36])/3 + (307*s[37])/2 + 5792*s[38] - (60661*s[39])/4 + 
       (205739*s[40])/12 - (56125*s[41])/4 + (206419*s[42])/12 + 
       (2939569*s[43])/132 - (4694201*s[44])/264 + (1092297*s[45])/44 - 
       (5419360*s[46])/33 - (3881129*s[47])/792 + (14496505*s[48])/792 - 
       (79457029*s[49])/792 + (4344706*s[50])/33 + (6844457*s[51])/792 + 
       (5510831*s[52])/792 - (18358057*s[53])/198 - (788863*s[54])/33 - 
       (159596747*s[55])/264 - (103535923*s[56])/792 - (4288879*s[57])/297 - 
       (1471775471*s[58])/7128 + (1665972467*s[59])/7128 + 
       (7023192853*s[60])/4752 - (2078853727*s[61])/32076 + 32*s[65] + 
       128*s[66] - 192*s[67] - 356*s[68] + 260*s[69] + 14*s[70] - 59*s[71] - 
       252*s[72] - 1308*s[73] + 204*s[74] - 204*s[75] - 964*s[76] - 
       280*s[77] + 658*s[78] + 1100*s[79] + 231*s[80] + 7824*s[82] + 
       108*s[83] - 24*s[84] - 240*s[85])*\[Zeta][2] + 
     HPL[{0, 0, 1, 0, 1}, 1 - v]*(1307*s[2] - 392*s[3] + (16945*s[4])/2 + 
       (65917*s[5])/11 + (156752*s[6])/11 + (57204563*s[7])/396 - 
       (2399932*s[8])/297 - (3284141*s[9])/27 - (1243741*s[10])/27 - 
       (63489185*s[11])/396 - (67252363*s[12])/396 - (1136038*s[13])/11 - 
       (1757348*s[14])/99 - (2433737*s[15])/12 - (33500099*s[16])/132 - 
       (82281037*s[17])/396 - (2951411*s[18])/162 - (5918329*s[19])/162 - 
       (254313668*s[20])/891 - (182215723*s[21])/1782 + 
       (135656699*s[22])/1782 + (2640125*s[23])/22 + (315690713*s[24])/1782 - 
       (1621816070*s[25])/8019 + (870986669*s[26])/8019 - 22*s[30] + 
       350*s[31] - 195*s[32] + (161*s[33])/2 - 556*s[34] + 214*s[35] - 
       (2279*s[36])/3 + (713*s[37])/6 + 5932*s[38] - (62139*s[39])/4 + 
       (210797*s[40])/12 - (57283*s[41])/4 + (212581*s[42])/12 + 
       (2979007*s[43])/132 - (4767299*s[44])/264 + (3314611*s[45])/132 - 
       (10979917*s[46])/66 - (3715331*s[47])/792 + (14566075*s[48])/792 - 
       (80551591*s[49])/792 + (4393333*s[50])/33 + (7141019*s[51])/792 + 
       (5844173*s[52])/792 - (9237310*s[53])/99 - (805373*s[54])/33 - 
       (160801457*s[55])/264 - (34927363*s[56])/264 - (775649*s[57])/99 - 
       (167327305*s[58])/792 + (188370401*s[59])/792 + 
       (7101493243*s[60])/4752 - (175553281*s[61])/2673 - 16*s[63] + 
       32*s[65] + 128*s[66] - 192*s[67] - 392*s[68] + 282*s[69] + 34*s[70] - 
       59*s[71] - 252*s[72] - 1308*s[73] + 204*s[74] - 204*s[75] - 
       980*s[76] - 316*s[77] + 658*s[78] + 1084*s[79] + (815*s[80])/3 + 
       7824*s[82] + 108*s[83] - 24*s[84] - 240*s[85])*\[Zeta][2] + 
     HPL[{0, 0, 1, 0, 1}, 1 - u]*(1312*s[2] - 364*s[3] + 6855*s[4] + 
       (283735*s[5])/44 + (589189*s[6])/44 + (53756341*s[7])/396 - 
       (7221079*s[8])/1188 - (12480755*s[9])/108 - (4910665*s[10])/108 - 
       (59366609*s[11])/396 - (30866357*s[12])/198 - (37465051*s[13])/396 - 
       (8938679*s[14])/396 - (1743821*s[15])/9 - (47594405*s[16])/198 - 
       (2226284*s[17])/11 - (5379481*s[18])/324 - (2901848*s[19])/81 - 
       (244542098*s[20])/891 - (177497701*s[21])/1782 + 
       (255934501*s[22])/3564 + (36999575*s[23])/396 + 
       (606690175*s[24])/3564 - (11952631645*s[25])/64152 + 
       (6547657093*s[26])/64152 + 48*s[29] - 30*s[30] + 342*s[31] - 
       256*s[32] + (229*s[33])/2 - 550*s[34] + 208*s[35] - (2336*s[36])/3 - 
       (362*s[37])/3 + 5352*s[38] - 12926*s[39] + (44534*s[40])/3 - 
       12279*s[41] + (41041*s[42])/3 + (700204*s[43])/33 - 
       (540259*s[44])/33 + (827482*s[45])/33 - (5229722*s[46])/33 - 
       (656404*s[47])/99 + (1999898*s[48])/99 - (9480248*s[49])/99 + 
       (4232809*s[50])/33 + (634531*s[51])/99 + (492001*s[52])/99 - 
       (8908921*s[53])/99 - (879653*s[54])/33 - (19537021*s[55])/33 - 
       (4126688*s[56])/33 - (4543562*s[57])/99 - (2100645*s[58])/11 + 
       (21540230*s[59])/99 + (859689935*s[60])/594 - (338065043*s[61])/5346 + 
       16*s[63] + 40*s[65] + 192*s[66] - 240*s[67] - 398*s[68] + 158*s[69] + 
       56*s[70] - 70*s[71] - 312*s[72] - 1296*s[73] + 228*s[74] - 228*s[75] - 
       898*s[76] - 312*s[77] + 532*s[78] + 648*s[79] + (1244*s[80])/3 + 
       7824*s[82] + 108*s[83] - 24*s[84] - 240*s[85])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*((-529*s[2])/2 - 
       (13655*s[3])/36 - (335659*s[4])/72 - (1629769*s[5])/396 - 
       (2200405*s[6])/264 - (1200911803*s[7])/14256 + 
       (132432367*s[8])/21384 + (17221624*s[9])/243 + (6186908*s[10])/243 + 
       (1307505247*s[11])/14256 + (345571613*s[12])/3564 + 
       (274662451*s[13])/4752 + (167409523*s[14])/14256 + 
       (51493343*s[15])/432 + (349393507*s[16])/2376 + 
       (1718754269*s[17])/14256 + (37617611*s[18])/2916 + 
       (102357677*s[19])/5832 + (10923689897*s[20])/64152 + 
       (7946002645*s[21])/128304 - (5659785785*s[22])/128304 - 
       (187543921*s[23])/2376 - (6355866373*s[24])/64152 + 
       (8342314855*s[25])/72171 - (4605716338*s[26])/72171 + (154*s[30])/3 - 
       (239*s[31])/9 + (995*s[32])/18 - (254*s[33])/9 + (1025*s[34])/9 + 
       146*s[35] + (3656*s[36])/9 - (6049*s[37])/108 - (8188*s[38])/3 + 
       (134777*s[39])/12 - (48111*s[40])/4 + (354547*s[41])/36 - 
       (1147031*s[42])/72 - (4155757*s[43])/396 + (4269667*s[44])/396 - 
       (23707763*s[45])/2376 + (202760375*s[46])/2376 - (272438*s[47])/99 - 
       (766781*s[48])/396 + (40619009*s[49])/792 - (13725977*s[50])/198 - 
       (23610485*s[51])/2376 - (156501*s[52])/22 + (344885107*s[53])/7128 + 
       (4150529*s[54])/594 + (709495865*s[55])/2376 + 
       (461399123*s[56])/7128 - (1001920553*s[57])/21384 + 
       (7781568361*s[58])/64152 - (2101951381*s[59])/16038 - 
       (2586570649*s[60])/3564 + (38243389337*s[61])/1154736 + 11*s[65] + 
       48*s[66] - (206*s[67])/3 - s[68]/9 - (623*s[69])/3 - (61*s[70])/3 - 
       (52*s[71])/3 - (202*s[72])/3 + 100*s[73] + (281*s[74])/6 - 
       (281*s[75])/6 - (392*s[76])/9 + 81*s[77] - 123*s[78] - (10*s[79])/9 - 
       (8935*s[80])/54 - (6614*s[82])/3 + (107*s[83])/2 - 137*s[84] - 
       (700*s[85])/3)*\[Zeta][2] + HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((807*s[2])/2 - (87*s[3])/4 + (117655*s[4])/24 + (231455*s[5])/66 + 
       (685385*s[6])/88 + (380602529*s[7])/4752 - (13963439*s[8])/2376 - 
       (7281593*s[9])/108 - (627967*s[10])/27 - (139943245*s[11])/1584 - 
       (75176081*s[12])/792 - (271582831*s[13])/4752 - 
       (13166431*s[14])/1584 - (47906267*s[15])/432 - 
       (329549285*s[16])/2376 - (526150841*s[17])/4752 - 
       (3689099*s[18])/324 - (11238191*s[19])/648 - (1126989209*s[20])/7128 - 
       (266285543*s[21])/4752 + (601235137*s[22])/14256 + 
       (23571278*s[23])/297 + (334523989*s[24])/3564 - 
       (201222469*s[25])/1782 + (107331151*s[26])/1782 - (110*s[30])/3 + 
       109*s[31] - (173*s[32])/2 + (130*s[33])/3 - 223*s[34] - (80*s[35])/3 - 
       450*s[36] + (8821*s[37])/36 + 2956*s[38] - (125269*s[39])/12 + 
       (137761*s[40])/12 - (36457*s[41])/4 + (112309*s[42])/8 + 
       (482145*s[43])/44 - (703387*s[44])/66 + (9034775*s[45])/792 - 
       (68962799*s[46])/792 + (28531*s[47])/22 + (566185*s[48])/132 - 
       (13595969*s[49])/264 + (4569335*s[50])/66 + (2264459*s[51])/264 + 
       (856081*s[52])/132 - (114781255*s[53])/2376 - (1456475*s[54])/198 - 
       (26883257*s[55])/88 - (164721995*s[56])/2376 + 
       (290349473*s[57])/7128 - (2626894441*s[58])/21384 + 
       (707790283*s[59])/5346 + (444765977*s[60])/594 - 
       (13207087013*s[61])/384912 + (7*s[65])/3 + (16*s[66])/3 - 
       (34*s[67])/3 - (281*s[68])/3 + 153*s[69] + 5*s[70] + (10*s[71])/3 - 
       26*s[72] - (1012*s[73])/3 - s[74]/6 + s[75]/6 - (778*s[76])/3 - 
       (257*s[77])/3 + (763*s[78])/3 + (1634*s[79])/3 + (1411*s[80])/18 + 
       (6094*s[82])/3 + (83*s[83])/2 + 87*s[84] - (700*s[85])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-769*s[2])/2 - (6379*s[3])/24 - (29915*s[4])/4 - (261259*s[5])/44 - 
       (2393423*s[6])/176 - (1222626313*s[7])/9504 + (138295295*s[8])/14256 + 
       (70273433*s[9])/648 + (23507953*s[10])/648 + (1343540585*s[11])/9504 + 
       (1449658621*s[12])/9504 + (434842931*s[13])/4752 + 
       (79519117*s[14])/4752 + (151360859*s[15])/864 + 
       (2095991131*s[16])/9504 + (553288793*s[17])/3168 + 
       (83417795*s[18])/3888 + (90668527*s[19])/3888 + 
       (10983264121*s[20])/42768 + (3983000917*s[21])/42768 - 
       (2889189857*s[22])/42768 - (639534451*s[23])/4752 - 
       (6237846257*s[24])/42768 + (137924568335*s[25])/769824 - 
       (75631466891*s[26])/769824 + (337*s[30])/12 - (547*s[31])/6 + 
       (745*s[32])/12 - (493*s[33])/48 + (2141*s[34])/12 + (533*s[35])/6 + 
       (5645*s[36])/12 - (8273*s[37])/24 - (17839*s[38])/4 + 
       (814247*s[39])/48 - (902003*s[40])/48 + (710251*s[41])/48 - 
       (565607*s[42])/24 - (8640409*s[43])/528 + (8747501*s[44])/528 - 
       (9543973*s[45])/528 + (12243425*s[46])/88 - (2073499*s[47])/528 - 
       (412267*s[48])/88 + (20131885*s[49])/264 - (9577039*s[50])/88 - 
       (24127201*s[51])/1584 - (524913*s[52])/44 + (13338123*s[53])/176 + 
       (114721*s[54])/22 + (380007839*s[55])/792 + (5163613*s[56])/44 - 
       (145929671*s[57])/1584 + (978439747*s[58])/4752 - 
       (1020933337*s[59])/4752 - (3700290907*s[60])/3168 + 
       (310859039*s[61])/5346 + (13*s[65])/12 + (19*s[66])/3 - (47*s[67])/6 + 
       54*s[68] - 143*s[69] - 37*s[70] - (59*s[71])/12 - 21*s[72] + 
       (824*s[73])/3 + (439*s[74])/12 - (439*s[75])/12 + 186*s[76] + 
       (629*s[77])/6 - (680*s[78])/3 - (3179*s[79])/3 + (2161*s[80])/12 - 
       (8354*s[82])/3 - (35*s[83])/4 - (645*s[84])/2 - (694*s[85])/3)*
      \[Zeta][2] + HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      (-26*s[2] - (5629*s[3])/36 - (225605*s[4])/72 - (1190099*s[5])/396 - 
       (1247761*s[6])/264 - (802475105*s[7])/14256 + (101651045*s[8])/21384 + 
       (46469681*s[9])/972 + (15348043*s[10])/972 + (436979017*s[11])/7128 + 
       (468796079*s[12])/7128 + (22977923*s[13])/594 + 
       (39746479*s[14])/7128 + (33967223*s[15])/432 + 
       (153685925*s[16])/1584 + (274232335*s[17])/3564 + 
       (27611113*s[18])/2916 + (59134957*s[19])/5832 + 
       (7258758715*s[20])/64152 + (1324642379*s[21])/32076 - 
       (955249519*s[22])/32076 - (296139863*s[23])/4752 - 
       (8122182781*s[24])/128304 + (89929771115*s[25])/1154736 - 
       (49303296761*s[26])/1154736 + (134*s[30])/3 - (34*s[31])/9 + 
       (145*s[32])/18 - (421*s[33])/9 + (1105*s[34])/9 + (638*s[35])/3 + 
       (3893*s[36])/9 - (34499*s[37])/108 - (14573*s[38])/6 + 
       (122959*s[39])/12 - (388009*s[40])/36 + (77357*s[41])/9 - 
       (535051*s[42])/36 - (3234655*s[43])/396 + (7311563*s[44])/792 - 
       (19448683*s[45])/2376 + (169562263*s[46])/2376 - 
       (9409643*s[47])/2376 + (2065315*s[48])/2376 + (97812047*s[49])/2376 - 
       (5690875*s[50])/99 - (23152529*s[51])/2376 - (17016721*s[52])/2376 + 
       (35384161*s[53])/891 + (5400965*s[54])/1188 + (289998833*s[55])/1188 + 
       (395008525*s[56])/7128 - (1344580807*s[57])/21384 + 
       (1748092025*s[58])/16038 - (3666056143*s[59])/32076 - 
       (4233091547*s[60])/7128 + (2017605184*s[61])/72171 + 13*s[65] + 
       54*s[66] - (256*s[67])/3 - (290*s[68])/9 - 126*s[69] - (34*s[70])/3 - 
       (63*s[71])/2 - (244*s[72])/3 - 80*s[73] + (159*s[74])/2 - 
       (159*s[75])/2 - (490*s[76])/9 + (8*s[77])/3 - (274*s[78])/3 + 
       (112*s[79])/9 - (14459*s[80])/54 - 1548*s[82] + (89*s[83])/2 - 
       135*s[84] - 224*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]*((-601*s[2])/6 + (267*s[3])/4 - (97613*s[4])/48 - 
       (125453*s[5])/66 - (280651*s[6])/66 - (59443793*s[7])/1584 + 
       (3364123*s[8])/1188 + (1725751*s[9])/54 + (2141537*s[10])/216 + 
       (131075239*s[11])/3168 + (142603061*s[12])/3168 + 
       (14325991*s[13])/528 + (8312627*s[14])/1584 + (397597*s[15])/8 + 
       (33370199*s[16])/528 + (155447033*s[17])/3168 + (9122269*s[18])/1296 + 
       (3489349*s[19])/648 + (1065482699*s[20])/14256 + 
       (398089643*s[21])/14256 - (35316473*s[22])/1782 - 
       (45006265*s[23])/1056 - (1158929597*s[24])/28512 + 
       (3339041683*s[25])/64152 - (468170839*s[26])/16038 - 2*s[29] - 
       (11*s[30])/12 - (253*s[31])/6 + (119*s[32])/6 + (237*s[33])/16 + 
       (287*s[34])/4 + (5*s[35])/3 + (477*s[36])/4 - (481*s[37])/3 - 
       (2873*s[38])/2 + (126935*s[39])/24 - (141881*s[40])/24 + 
       (54359*s[41])/12 - (176209*s[42])/24 - (1348807*s[43])/264 + 
       (1340437*s[44])/264 - (3221015*s[45])/528 + (23633039*s[46])/528 - 
       (693589*s[47])/528 - (805855*s[48])/528 + (2017975*s[49])/88 - 
       (4505345*s[50])/132 - (316979*s[51])/66 - (354207*s[52])/88 + 
       (37785271*s[53])/1584 + (51677*s[54])/264 + (80602811*s[55])/528 + 
       (7949779*s[56])/198 - (41080817*s[57])/1188 + (975970123*s[58])/
        14256 - (62386903*s[59])/891 - (1172761703*s[60])/3168 + 
       (5042597777*s[61])/256608 - 3*s[66] + 3*s[67] + 12*s[68] - 17*s[69] - 
       (17*s[70])/2 + (5*s[71])/2 + 2*s[72] + 73*s[73] + (61*s[74])/12 - 
       (61*s[75])/12 + (239*s[76])/3 + (86*s[77])/3 - (155*s[78])/2 - 
       409*s[79] + (581*s[80])/6 - (2839*s[82])/2 - (39*s[83])/4 - 
       (339*s[84])/2 - 218*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*((-1435*s[2])/6 - (239*s[3])/4 - 
       (175979*s[4])/48 - (109825*s[5])/33 - (255185*s[6])/33 - 
       (36339955*s[7])/528 + (1451086*s[8])/297 + (1573910*s[9])/27 + 
       (529759*s[10])/27 + (238645123*s[11])/3168 + (255735143*s[12])/3168 + 
       (38323453*s[13])/792 + (8801131*s[14])/792 + (6754487*s[15])/72 + 
       (93460981*s[16])/792 + (300159613*s[17])/3168 + 
       (15607987*s[18])/1296 + (3771665*s[19])/324 + (1979100821*s[20])/
        14256 + (45691724*s[21])/891 - (515459179*s[22])/14256 - 
       (222333035*s[23])/3168 - (2205572621*s[24])/28512 + 
       (12109301657*s[25])/128304 - (6792510869*s[26])/128304 + 
       (73*s[30])/12 - (379*s[31])/6 + (124*s[32])/3 - (187*s[33])/16 + 
       (415*s[34])/4 + (31*s[35])/6 + (602*s[36])/3 - (481*s[37])/4 - 
       (4559*s[38])/2 + (417865*s[39])/48 - (157107*s[40])/16 + 
       (371663*s[41])/48 - (193627*s[42])/16 - (143523*s[43])/16 + 
       (281089*s[44])/32 - (498989*s[45])/48 + (1852415*s[46])/24 - 
       (449813*s[47])/288 - (1015703*s[48])/288 + (11731613*s[49])/288 - 
       (240529*s[50])/4 - (2245225*s[51])/288 - (1771453*s[52])/288 + 
       (1524311*s[53])/36 + (47887*s[54])/24 + (25888025*s[55])/96 + 
       (2153715*s[56])/32 - (382864*s[57])/9 + (96965609*s[58])/864 - 
       (101351909*s[59])/864 - (1120503149*s[60])/1728 + 
       (43286311*s[61])/1296 + 46*s[68] - 86*s[69] - 14*s[70] + 
       (17*s[71])/2 - 5*s[72] + 180*s[73] + (91*s[74])/12 - (91*s[75])/12 + 
       (323*s[76])/3 + (451*s[77])/6 - 137*s[78] - 668*s[79] + 
       (349*s[80])/2 - (2743*s[82])/2 - (39*s[83])/4 - (339*s[84])/2 - 
       218*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*
      (47*s[2] - (379*s[3])/3 + (1793*s[4])/3 + (35633*s[5])/66 + 
       (2157*s[6])/11 + (2915860*s[7])/297 - (680102*s[8])/891 - 
       (1372913*s[9])/162 - (259088*s[10])/81 - (12712267*s[11])/1188 - 
       (13269017*s[12])/1188 - (641111*s[13])/99 + (30851*s[14])/297 - 
       (270383*s[15])/18 - (1160639*s[16])/66 - (17161055*s[17])/1188 - 
       (194231*s[18])/243 - (748921*s[19])/243 - (103224551*s[20])/5346 - 
       (17727892*s[21])/2673 + (14270978*s[22])/2673 + (3430639*s[23])/396 + 
       (132629213*s[24])/10692 - (333516973*s[25])/24057 + 
       (168249091*s[26])/24057 - 8*s[30] + (32*s[31])/3 - (58*s[32])/3 + 
       (56*s[33])/3 - (176*s[34])/3 - 52*s[35] - 156*s[36] + (640*s[37])/9 + 
       532*s[38] - 2153*s[39] + (6409*s[40])/3 - (5458*s[41])/3 + 
       3019*s[42] + (19689*s[43])/11 - (45385*s[44])/22 + 
       (180449*s[45])/198 - (2371841*s[46])/198 + (95111*s[47])/198 - 
       (17815*s[48])/198 - (2012003*s[49])/198 + (119700*s[50])/11 + 
       (112907*s[51])/66 + (184747*s[52])/198 - (4380985*s[53])/594 - 
       (342013*s[54])/99 - (8474507*s[55])/198 - (3072581*s[56])/594 + 
       (4409125*s[57])/891 - (40829351*s[58])/2673 + (100414873*s[59])/5346 + 
       (10743884*s[60])/99 - (266567513*s[61])/96228 - 4*s[65] - 16*s[66] + 
       24*s[67] - (26*s[68])/3 + 70*s[69] + 4*s[70] + 12*s[71] + 16*s[72] - 
       60*s[73] - 20*s[74] + 20*s[75] - (4*s[76])/3 - 22*s[77] + 44*s[78] - 
       (248*s[79])/3 + (1094*s[80])/9 + 232*s[82] - 208*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*((215*s[2])/2 - (367*s[3])/4 + 
       (3823*s[4])/8 + (26677*s[5])/44 + (34051*s[6])/88 + 
       (18391315*s[7])/1584 - (1194973*s[8])/2376 - (272080*s[9])/27 - 
       (129239*s[10])/27 - (19439317*s[11])/1584 - (4685855*s[12])/396 - 
       (1186747*s[13])/176 - (2965693*s[14])/1584 - (923327*s[15])/48 - 
       (2872237*s[16])/132 - (31581131*s[17])/1584 - (90487*s[18])/162 - 
       (2872061*s[19])/648 - (176885897*s[20])/7128 - 
       (120435823*s[21])/14256 + (89234855*s[22])/14256 + (31106*s[23])/11 + 
       (59462915*s[24])/3564 - (978886817*s[25])/64152 + 
       (516237137*s[26])/64152 + 10*s[29] - 17*s[30] + 30*s[31] - 22*s[32] + 
       (75*s[33])/2 - 51*s[34] - 49*s[35] - (388*s[36])/3 - (461*s[37])/6 + 
       364*s[38] - (5451*s[39])/4 + (16177*s[40])/12 - (5227*s[41])/4 + 
       (21563*s[42])/12 + (198863*s[43])/132 - (103525*s[44])/66 + 
       (65921*s[45])/132 - (268696*s[46])/33 - (85949*s[47])/396 + 
       (121547*s[48])/198 - (3465697*s[49])/396 + (557485*s[50])/66 + 
       (90557*s[51])/99 + (57059*s[52])/396 - (2216219*s[53])/396 - 
       (274949*s[54])/66 - (2130529*s[55])/66 - (138487*s[56])/132 - 
       (2992435*s[57])/396 - (643454*s[58])/99 + (116836*s[59])/11 + 
       (100387973*s[60])/1188 - (2408588*s[61])/2673 - s[65] - 10*s[66] + 
       6*s[67] - 4*s[68] + 58*s[69] + 16*s[70] + 9*s[71] - 2*s[72] - 
       62*s[73] - (13*s[74])/2 + (13*s[75])/2 - 8*s[76] - 39*s[77] + 
       8*s[78] - 104*s[79] + (409*s[80])/3 + 232*s[82] - 208*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*
      (66*s[2] - 69*s[3] + (1259*s[4])/2 + (4143*s[5])/11 + (3541*s[6])/22 + 
       (3595477*s[7])/396 - (48751*s[8])/66 - 7697*s[9] - (9440*s[10])/3 - 
       (1303213*s[11])/132 - (224649*s[12])/22 - (2329859*s[13])/396 + 
       (31445*s[14])/132 - (513043*s[15])/36 - (3296893*s[16])/198 - 
       (5518669*s[17])/396 - (12518*s[18])/27 - (176447*s[19])/54 - 
       (10589483*s[20])/594 - (6810821*s[21])/1188 + (1941539*s[22])/396 + 
       (708049*s[23])/99 + (395837*s[24])/33 - (69315817*s[25])/5346 + 
       (33340675*s[26])/5346 - 8*s[30] + 12*s[31] - 20*s[32] + 18*s[33] - 
       60*s[34] - 52*s[35] - (466*s[36])/3 + (121*s[37])/3 + 422*s[38] - 
       (3401*s[39])/2 + (9839*s[40])/6 - (2859*s[41])/2 + (14401*s[42])/6 + 
       (88717*s[43])/66 - (210707*s[44])/132 + (24857*s[45])/66 - 
       (88989*s[46])/11 + (159163*s[47])/396 - (87875*s[48])/396 - 
       (3209977*s[49])/396 + (257930*s[50])/33 + (522593*s[51])/396 + 
       (248969*s[52])/396 - (56688*s[53])/11 - (37853*s[54])/11 - 
       (3773063*s[55])/132 - (721727*s[56])/396 + (1053308*s[57])/297 - 
       (34898395*s[58])/3564 + (45928903*s[59])/3564 + 
       (180107545*s[60])/2376 - (8176783*s[61])/8019 - 4*s[65] - 16*s[66] + 
       24*s[67] - 4*s[68] + 64*s[69] + 4*s[70] + 12*s[71] + 16*s[72] - 
       64*s[73] - 20*s[74] + 20*s[75] - 16*s[76] - 12*s[77] + 52*s[78] - 
       80*s[79] + (434*s[80])/3 + 232*s[82] - 208*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*(66*s[2] - (92*s[3])/3 + 
       (3136*s[4])/3 + (3719*s[5])/6 + (1387*s[6])/2 + (812009*s[7])/54 - 
       (200473*s[8])/162 - (2041819*s[9])/162 - (776243*s[10])/162 - 
       (891923*s[11])/54 - (472757*s[12])/27 - (20833*s[13])/2 + 
       (3643*s[14])/54 - (67132*s[15])/3 - (241156*s[16])/9 - 
       (585071*s[17])/27 - (560915*s[18])/486 - (1152260*s[19])/243 - 
       (7083826*s[20])/243 - (2335660*s[21])/243 + (1947935*s[22])/243 + 
       (78679*s[23])/6 + (9394867*s[24])/486 - (190082113*s[25])/8748 + 
       (93692365*s[26])/8748 - 24*s[30] + (28*s[31])/3 - (68*s[32])/3 + 
       (58*s[33])/3 - (172*s[34])/3 - 70*s[35] - 187*s[36] + (1016*s[37])/9 + 
       694*s[38] - (10047*s[39])/4 + (29897*s[40])/12 - (24749*s[41])/12 + 
       (13819*s[42])/4 + (96073*s[43])/44 - (208075*s[44])/88 + 
       (116195*s[45])/99 - (5640563*s[46])/396 + (437497*s[47])/792 - 
       (14273*s[48])/792 - (9404971*s[49])/792 + (138715*s[50])/11 + 
       (513725*s[51])/264 + (956771*s[52])/792 - (10085011*s[53])/1188 - 
       (372452*s[54])/99 - (39460759*s[55])/792 - (15360835*s[56])/2376 + 
       (6264947*s[57])/891 - (401086877*s[58])/21384 + 
       (482571527*s[59])/21384 + (204621119*s[60])/1584 - 
       (632841425*s[61])/192456 - 4*s[65] - 16*s[66] + 24*s[67] - 
       (4*s[68])/3 + 60*s[69] + 4*s[70] + 12*s[71] + 16*s[72] - 64*s[73] - 
       20*s[74] + 20*s[75] - (56*s[76])/3 - 16*s[77] + 54*s[78] - 
       (292*s[79])/3 + (1624*s[80])/9 + 232*s[82] - 208*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*(-51*s[2] - (253*s[3])/3 - 
       (15343*s[4])/12 - (364123*s[5])/264 - (259133*s[6])/88 - 
       (63182593*s[7])/2376 + (15055433*s[8])/7128 + (14504323*s[9])/648 + 
       (5135117*s[10])/648 + (67562071*s[11])/2376 + (17782883*s[12])/594 + 
       (1528225*s[13])/88 + (12300697*s[14])/2376 + (448273*s[15])/12 + 
       (18255857*s[16])/396 + (45568723*s[17])/1188 + (9777449*s[18])/1944 + 
       (4056005*s[19])/972 + (146742716*s[20])/2673 + 
       (109278607*s[21])/5346 - (295229405*s[22])/21384 - 
       (6987317*s[23])/264 - (633332417*s[24])/21384 + 
       (13577044589*s[25])/384912 - (7819820513*s[26])/384912 - 2*s[30] - 
       (10*s[31])/3 + (8*s[32])/3 + (239*s[33])/12 - (2*s[34])/3 + 33*s[35] + 
       (463*s[36])/6 - (1909*s[37])/18 - (1075*s[38])/2 + (20793*s[39])/8 - 
       (69863*s[40])/24 + (56521*s[41])/24 - (91271*s[42])/24 - 
       (669269*s[43])/264 + (1339147*s[44])/528 - (740695*s[45])/198 + 
       (20915293*s[46])/792 - (1142221*s[47])/1584 - (906271*s[48])/1584 + 
       (18287443*s[49])/1584 - (679150*s[50])/33 - (4030951*s[51])/1584 - 
       (3040289*s[52])/1584 + (35760515*s[53])/2376 - (105361*s[54])/396 + 
       (152073335*s[55])/1584 + (118631675*s[56])/4752 - 
       (19424935*s[57])/1782 + (1622506345*s[58])/42768 - 
       (1676620771*s[59])/42768 - (2066309681*s[60])/9504 + 
       (4828512163*s[61])/384912 - s[65] - 4*s[66] + 8*s[67] + (25*s[68])/3 - 
       2*s[69] - 7*s[70] - (5*s[71])/2 - 6*s[72] + 6*s[73] + 6*s[74] - 
       6*s[75] + (74*s[76])/3 + 9*s[77] - 37*s[78] - (434*s[79])/3 + 
       (380*s[80])/9 - 870*s[82] + 12*s[83] - 72*s[84] - 176*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((1210*s[2])/3 - (1297*s[3])/6 + (18373*s[4])/6 + (89572*s[5])/33 + 
       (942991*s[6])/132 + (134579371*s[7])/2376 - (12876403*s[8])/3564 - 
       (7788043*s[9])/162 - (1268833*s[10])/81 - (37234957*s[11])/594 - 
       (160219859*s[12])/2376 - (32622521*s[13])/792 - 
       (22506193*s[14])/2376 - (5441389*s[15])/72 - (4247457*s[16])/44 - 
       (22909201*s[17])/297 - (9605161*s[18])/972 - (9041627*s[19])/972 - 
       (600721951*s[20])/5346 - (899587159*s[21])/21384 + 
       (637314221*s[22])/21384 + (46096135*s[23])/792 + 
       (1345867763*s[24])/21384 - (7538137787*s[25])/96228 + 
       (4238659559*s[26])/96228 + (37*s[30])/3 + (410*s[31])/3 - 
       (241*s[32])/3 + (505*s[33])/12 - (619*s[34])/3 + (272*s[35])/3 - 
       152*s[36] + (572*s[37])/9 + 2024*s[38] - (92663*s[39])/12 + 
       (105751*s[40])/12 - (27827*s[41])/4 + (126571*s[42])/12 + 
       (1108669*s[43])/132 - (2133737*s[44])/264 + (3369587*s[45])/396 - 
       (13055065*s[46])/198 + (702979*s[47])/792 + (3268333*s[48])/792 - 
       (29519815*s[49])/792 + (1661875*s[50])/33 + (572359*s[51])/88 + 
       (4200419*s[52])/792 - (10513666*s[53])/297 - (207337*s[54])/198 - 
       (177690613*s[55])/792 - (135283267*s[56])/2376 + 
       (36285782*s[57])/891 - (2051229527*s[58])/21384 + 
       (2152376927*s[59])/21384 + (291088099*s[60])/528 - 
       (665323738*s[61])/24057 - (256*s[68])/3 + 164*s[69] - 16*s[70] - 
       12*s[71] - 16*s[72] - 396*s[73] + (40*s[74])/3 - (40*s[75])/3 - 
       232*s[76] - (328*s[77])/3 + 296*s[78] + (2432*s[79])/3 - 
       (3116*s[80])/9 + 406*s[82] + (93*s[83])/2 - 3*s[84] - 176*s[85])*
      \[Zeta][2] + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((-2051*s[2])/4 + (1675*s[3])/24 - (116435*s[4])/24 - 
       (1918469*s[5])/528 - (1534221*s[6])/176 - (200401153*s[7])/2376 + 
       (38248805*s[8])/7128 + (92059553*s[9])/1296 + (8325067*s[10])/324 + 
       (886146181*s[11])/9504 + (473220349*s[12])/4752 + 
       (63580933*s[13])/1056 + (106638643*s[14])/9504 + (5596409*s[15])/48 + 
       (464630665*s[16])/3168 + (1125185921*s[17])/9504 + 
       (47399293*s[18])/3888 + (72549335*s[19])/3888 + 
       (448665584*s[20])/2673 + (5177115115*s[21])/85536 - 
       (3796453055*s[22])/85536 - (80976223*s[23])/1056 - 
       (8577728771*s[24])/85536 + (90544822087*s[25])/769824 - 
       (49230989959*s[26])/769824 - 4*s[29] + (63*s[30])/4 - (731*s[31])/6 + 
       (242*s[32])/3 + (53*s[33])/48 + (2479*s[34])/12 - 61*s[35] + 
       (1051*s[36])/3 - (9229*s[37])/72 - (12575*s[38])/4 + (37445*s[39])/4 - 
       (42609*s[40])/4 + (205939*s[41])/24 - (138173*s[42])/12 - 
       (1608803*s[43])/132 + (11025193*s[44])/1056 - (23008901*s[45])/1584 + 
       (154840835*s[46])/1584 + (411051*s[47])/352 - (3050517*s[48])/352 + 
       (58095857*s[49])/1056 - (20422735*s[50])/264 - (20905777*s[51])/3168 - 
       (5716835*s[52])/1056 + (64423507*s[53])/1188 + (955682*s[54])/99 + 
       (1119358639*s[55])/3168 + (781164763*s[56])/9504 - 
       (103688593*s[57])/7128 + (11209610837*s[58])/85536 - 
       (12158466707*s[59])/85536 - (16303469339*s[60])/19008 + 
       (31551108395*s[61])/769824 + 8*s[63] - (55*s[65])/4 - 53*s[66] + 
       80*s[67] + (457*s[68])/3 - 101*s[69] - 19*s[70] + (89*s[71])/4 + 
       95*s[72] + 506*s[73] - (159*s[74])/2 + (159*s[75])/2 + 
       (1127*s[76])/3 + 126*s[77] - (515*s[78])/2 - (2078*s[79])/3 - 
       (127*s[80])/36 - 4385*s[82] - (123*s[83])/4 - (207*s[84])/2 - 
       172*s[85])*\[Zeta][2] + HPL[{1}, 1 - w]*Omega2[v, w, u]*
      (49*s[2] + (35*s[3])/3 + (4567*s[4])/6 + (43709*s[5])/66 + 
       (17427*s[6])/22 + (15016123*s[7])/1188 - (1952515*s[8])/1782 - 
       (1740767*s[9])/162 - (299666*s[10])/81 - (8187473*s[11])/594 - 
       (17406377*s[12])/1188 - (3397283*s[13])/396 - (716839*s[14])/1188 - 
       (659161*s[15])/36 - (731596*s[16])/33 - (5297480*s[17])/297 - 
       (837475*s[18])/486 - (1415255*s[19])/486 - (67178395*s[20])/2673 - 
       (95326069*s[21])/10692 + (71978333*s[22])/10692 + 
       (5287171*s[23])/396 + (157703615*s[24])/10692 - 
       (852796895*s[25])/48114 + (450447071*s[26])/48114 - 8*s[30] + 
       (26*s[31])/3 - (31*s[32])/3 + (47*s[33])/3 - (170*s[34])/3 - 
       64*s[35] - 152*s[36] + (361*s[37])/9 + 484*s[38] - 2502*s[39] + 
       (7570*s[40])/3 - (6208*s[41])/3 + 3820*s[42] + (17106*s[43])/11 - 
       (47433*s[44])/22 + (77831*s[45])/198 - (2124629*s[46])/198 + 
       (123049*s[47])/99 - (106169*s[48])/99 - (905023*s[49])/99 + 
       (103468*s[50])/11 + (80095*s[51])/33 + (302311*s[52])/198 - 
       (3674557*s[53])/594 - (190948*s[54])/99 - (3307432*s[55])/99 - 
       (1366186*s[56])/297 + (15150679*s[57])/891 - (91154719*s[58])/5346 + 
       (50892161*s[59])/2673 + (3889209*s[60])/44 - (235047029*s[61])/96228 - 
       8*s[65] - 32*s[66] + 48*s[67] + (52*s[68])/3 + 92*s[69] + 4*s[70] + 
       16*s[71] + 40*s[72] - 32*s[73] - 38*s[74] + 38*s[75] + (140*s[76])/3 - 
       20*s[77] + 44*s[78] - (248*s[79])/3 + (626*s[80])/9 - 200*s[82] - 
       160*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]*Omega2[u, v, w]*
      (30*s[2] + (7*s[3])/3 + (4301*s[4])/6 + (23135*s[5])/33 + 
       (18229*s[6])/22 + (14738765*s[7])/1188 - (1931027*s[8])/1782 - 
       (858797*s[9])/81 - (281422*s[10])/81 - (16109903*s[11])/1188 - 
       (8619959*s[12])/594 - (3371701*s[13])/396 - (800189*s[14])/1188 - 
       (636761*s[15])/36 - (1423561*s[16])/66 - (20327317*s[17])/1188 - 
       (453217*s[18])/243 - (1239343*s[19])/486 - (132003631*s[20])/5346 - 
       (95553119*s[21])/10692 + (70863667*s[22])/10692 + (1374602*s[23])/99 + 
       (37677349*s[24])/2673 - (835953433*s[25])/48114 + 
       (448143991*s[26])/48114 - 8*s[30] + (28*s[31])/3 - (26*s[32])/3 + 
       (58*s[33])/3 - (172*s[34])/3 - 64*s[35] - (428*s[36])/3 + 
       (635*s[37])/9 + 494*s[38] - 2495*s[39] + (7501*s[40])/3 - 
       (6014*s[41])/3 + (11428*s[42])/3 + (48331*s[43])/33 - 
       (68413*s[44])/33 + (83209*s[45])/198 - (2068417*s[46])/198 + 
       (133405*s[47])/99 - (121058*s[48])/99 - (851413*s[49])/99 + 
       (293452*s[50])/33 + (240679*s[51])/99 + (159314*s[52])/99 - 
       (3479183*s[53])/594 - (150503*s[54])/99 - (3139580*s[55])/99 - 
       (1477556*s[56])/297 + (17321486*s[57])/891 - (94222253*s[58])/5346 + 
       (51287554*s[59])/2673 + (99822181*s[60])/1188 - 
       (242420005*s[61])/96228 - 8*s[65] - 32*s[66] + 48*s[67] + 
       (56*s[68])/3 + 80*s[69] + 4*s[70] + 16*s[71] + 40*s[72] - 16*s[73] - 
       38*s[74] + 38*s[75] + (112*s[76])/3 - 16*s[77] + 44*s[78] - 
       (232*s[79])/3 + (682*s[80])/9 - 200*s[82] - 160*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*Omega2[w, u, v]*(30*s[2] - 16*s[3] + (1583*s[4])/2 + 
       (8396*s[5])/11 + (19303*s[6])/22 + (1828721*s[7])/132 - 
       (706655*s[8])/594 - (319820*s[9])/27 - (107725*s[10])/27 - 
       (5988053*s[11])/396 - (3193019*s[12])/198 - (3764021*s[13])/396 - 
       (285155*s[14])/396 - (714097*s[15])/36 - (4772461*s[16])/198 - 
       (7613951*s[17])/396 - (160411*s[18])/81 - (487447*s[19])/162 - 
       (49016953*s[20])/1782 - (35384297*s[21])/3564 + 
       (26385445*s[22])/3564 + (1475674*s[23])/99 + (14262763*s[24])/891 - 
       (310824013*s[25])/16038 + (166142281*s[26])/16038 - 12*s[30] + 
       8*s[31] - 10*s[32] + 20*s[33] - 56*s[34] - 70*s[35] - 159*s[36] + 
       (191*s[37])/3 + 552*s[38] - (10695*s[39])/4 + (10771*s[40])/4 - 
       (8727*s[41])/4 + (16151*s[42])/4 + (6803*s[43])/4 - (18277*s[44])/8 + 
       (1984*s[45])/3 - (147343*s[46])/12 + (10471*s[47])/8 - 
       (8743*s[48])/8 - (78085*s[49])/8 + 10552*s[50] + (61451*s[51])/24 + 
       (13461*s[52])/8 - (252203*s[53])/36 - (5896*s[54])/3 - 
       (312505*s[55])/8 - (445487*s[56])/72 + (1001993*s[57])/54 - 
       (12770329*s[58])/648 + (14082691*s[59])/648 + (14595097*s[60])/144 - 
       (18558829*s[61])/5832 - 8*s[65] - 32*s[66] + 48*s[67] + 18*s[68] + 
       82*s[69] + 4*s[70] + 16*s[71] + 40*s[72] - 16*s[73] - 38*s[74] + 
       38*s[75] + 48*s[76] - 18*s[77] + 38*s[78] - 68*s[79] + (232*s[80])/3 - 
       200*s[82] - 160*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*((-815*s[2])/12 + (4981*s[3])/36 - 
       (494393*s[4])/144 - (4531675*s[5])/1584 - (223207*s[6])/33 - 
       (1665452843*s[7])/28512 + (203480405*s[8])/42768 + 
       (194160199*s[9])/3888 + (27112579*s[10])/1944 + 
       (115106375*s[11])/1782 + (255179591*s[12])/3564 + 
       (25580905*s[13])/594 + (13305131*s[14])/1782 + (64736033*s[15])/864 + 
       (101900869*s[16])/1056 + (1024784759*s[17])/14256 + 
       (141978557*s[18])/11664 + (17703289*s[19])/2916 + 
       (14830250659*s[20])/128304 + (5523324019*s[21])/128304 - 
       (3973082807*s[22])/128304 - (721567991*s[23])/9504 - 
       (15371025337*s[24])/256608 + (188855568287*s[25])/2309472 - 
       (105460675271*s[26])/2309472 - (101*s[30])/4 - (1255*s[31])/18 + 
       (85*s[32])/36 - (4277*s[33])/144 + (3383*s[34])/36 - (14*s[35])/3 + 
       (547*s[36])/4 - (75485*s[37])/216 - (9475*s[38])/4 + 
       (439435*s[39])/48 - (1466725*s[40])/144 + (1118263*s[41])/144 - 
       (636533*s[42])/48 - (1324775*s[43])/176 + (357749*s[44])/44 - 
       (41266861*s[45])/4752 + (162195713*s[46])/2376 - (2199953*s[47])/594 - 
       (1167175*s[48])/4752 + (9907822*s[49])/297 - (13403129*s[50])/264 - 
       (14882957*s[51])/1584 - (37343501*s[52])/4752 + 
       (499160909*s[53])/14256 - (4596557*s[54])/1188 + 
       (264144823*s[55])/1188 + (113470679*s[56])/1782 - 
       (1758884261*s[57])/21384 + (1812104593*s[58])/16038 - 
       (3584249645*s[59])/32076 - (5169415621*s[60])/9504 + 
       (8752852511*s[61])/288684 + (29*s[65])/12 + (23*s[66])/3 - 
       (33*s[67])/2 - (184*s[68])/9 + 13*s[69] + s[70]/3 + (23*s[71])/4 - 
       38*s[72] + (133*s[73])/3 + (155*s[74])/3 - (155*s[75])/3 + 
       (1003*s[76])/9 - (17*s[77])/3 - (241*s[78])/3 - (8713*s[79])/9 + 
       (27913*s[80])/108 + (925*s[82])/3 - (139*s[83])/4 - (769*s[84])/2 - 
       (478*s[85])/3)*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((-1113*s[2])/4 + (1279*s[3])/24 - 
       (42283*s[4])/12 - (795757*s[5])/264 - (1217211*s[6])/176 - 
       (612102295*s[7])/9504 + (61983787*s[8])/14256 + (8835649*s[9])/162 + 
       (12281237*s[10])/648 + (337278815*s[11])/4752 + 
       (721929569*s[12])/9504 + (48286175*s[13])/1056 + 
       (92407429*s[14])/9504 + (8483183*s[15])/96 + (176452955*s[16])/1584 + 
       (425650009*s[17])/4752 + (39195019*s[18])/3888 + 
       (49327391*s[19])/3888 + (692197021*s[20])/5346 + 
       (4030807435*s[21])/85536 - (2907310061*s[22])/85536 - 
       (21657505*s[23])/352 - (6395255213*s[24])/85536 + 
       (34325941781*s[25])/384912 - (18898239431*s[26])/384912 + 
       (91*s[30])/4 - (473*s[31])/6 + (259*s[32])/6 - (583*s[33])/48 + 
       (1621*s[34])/12 - (25*s[35])/2 + (2431*s[36])/12 - (1409*s[37])/9 - 
       2324*s[38] + 8024*s[39] - (35919*s[40])/4 + (169867*s[41])/24 - 
       (128459*s[42])/12 - (1145711*s[43])/132 + (273953*s[44])/33 - 
       (15183005*s[45])/1584 + (112259459*s[46])/1584 - (424795*s[47])/528 - 
       (2232007*s[48])/528 + (1324484*s[49])/33 - (7354799*s[50])/132 - 
       (2610995*s[51])/396 - (453543*s[52])/88 + (183649417*s[53])/4752 + 
       (3848599*s[54])/792 + (391763681*s[55])/1584 + 
       (140824903*s[56])/2376 - (247495543*s[57])/7128 + 
       (4334857687*s[58])/42768 - (1147404337*s[59])/10692 - 
       (5775804607*s[60])/9504 + (22522843661*s[61])/769824 - 2*s[65] - 
       8*s[66] + 12*s[67] + (190*s[68])/3 - 86*s[69] - (43*s[70])/2 - 
       s[71]/2 + 17*s[72] + 252*s[73] - 16*s[74] + 16*s[75] + (479*s[76])/3 + 
       (163*s[77])/2 - (287*s[78])/2 - (1781*s[79])/3 + (2191*s[80])/18 - 
       (6297*s[82])/2 - (45*s[83])/2 - 105*s[84] - 158*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*(676*s[2] - (320*s[3])/3 + 
       (19093*s[4])/3 + (171128*s[5])/33 + (110578*s[6])/11 + 
       (33628937*s[7])/297 - (7096702*s[8])/891 - (7725782*s[9])/81 - 
       (2901184*s[10])/81 - (73232125*s[11])/594 - (38430061*s[12])/297 - 
       (5063699*s[13])/66 - (4114805*s[14])/297 - (489649*s[15])/3 - 
       (19784861*s[16])/99 - (98578169*s[17])/594 - (7299281*s[18])/486 - 
       (13184365*s[19])/486 - (1215478501*s[20])/5346 - 
       (433253563*s[21])/5346 + (318426401*s[22])/5346 + (2186625*s[23])/22 + 
       (364978078*s[24])/2673 - (7500732655*s[25])/48114 + 
       (4049998501*s[26])/48114 - 60*s[30] + (436*s[31])/3 - (446*s[32])/3 + 
       (142*s[33])/3 - (964*s[34])/3 - 96*s[35] - 768*s[36] + 
       (1316*s[37])/9 + 3762*s[38] - 13209*s[39] + (43067*s[40])/3 - 
       (35813*s[41])/3 + 17389*s[42] + (167829*s[43])/11 - 
       (624771*s[44])/44 + (1612628*s[45])/99 - (12051953*s[46])/99 - 
       (52765*s[47])/396 + (3026663*s[48])/396 - (28996589*s[49])/396 + 
       (1099564*s[50])/11 + (1295557*s[51])/132 + (2649133*s[52])/396 - 
       (21075094*s[53])/297 - (1606427*s[54])/99 - (177520619*s[55])/396 - 
       (110882957*s[56])/1188 + (19890649*s[57])/1782 - 
       (1688094337*s[58])/10692 + (1900831171*s[59])/10692 + 
       (848709349*s[60])/792 - (4554676945*s[61])/96228 + 4*s[65] + 
       16*s[66] - 24*s[67] - (508*s[68])/3 + 256*s[69] + 24*s[70] + 6*s[71] - 
       40*s[72] - 536*s[73] + 20*s[74] - 20*s[75] - (860*s[76])/3 - 
       196*s[77] + 328*s[78] + (632*s[79])/3 + (3448*s[80])/9 + 4616*s[82] - 
       3*s[83] + 42*s[84] - 152*s[85])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*((-2169*s[2])/4 + 
       (104*s[3])/3 - (190597*s[4])/48 - (970621*s[5])/264 - 
       (88742*s[6])/11 - (734008111*s[7])/9504 + (59758021*s[8])/14256 + 
       (84889193*s[9])/1296 + (31842319*s[10])/1296 + 
       (201973897*s[11])/2376 + (850167845*s[12])/9504 + 
       (19027509*s[13])/352 + (123050743*s[14])/9504 + (3459725*s[15])/32 + 
       (213848837*s[16])/1584 + (530341957*s[17])/4752 + 
       (10671223*s[18])/972 + (4322414*s[19])/243 + (6680275499*s[20])/
        42768 + (4866895993*s[21])/85536 - (3478789499*s[22])/85536 - 
       (64840409*s[23])/1056 - (8000503217*s[24])/85536 + 
       (20397992821*s[25])/192456 - (11262411637*s[26])/192456 - 22*s[29] + 
       (51*s[30])/4 - (803*s[31])/6 + (1109*s[32])/12 - (1195*s[33])/48 + 
       (2377*s[34])/12 - 79*s[35] + (3523*s[36])/12 - (1231*s[37])/72 - 
       (11203*s[38])/4 + (125145*s[39])/16 - (143701*s[40])/16 + 
       (349367*s[41])/48 - (219001*s[42])/24 - (5921189*s[43])/528 + 
       (9715441*s[44])/1056 - (21782243*s[45])/1584 + (70826557*s[46])/792 + 
       (2173663*s[47])/1056 - (9737159*s[48])/1056 + (53181973*s[49])/1056 - 
       (18779221*s[50])/264 - (15809335*s[51])/3168 - (1431151*s[52])/352 + 
       (14848015*s[53])/297 + (8014657*s[54])/792 + (1037559247*s[55])/3168 + 
       (706621159*s[56])/9504 + (57894505*s[57])/14256 + 
       (9829678589*s[58])/85536 - (10763786465*s[59])/85536 - 
       (15112839191*s[60])/19008 + (7209307211*s[61])/192456 - 8*s[63] - 
       (71*s[65])/4 - 85*s[66] + (217*s[67])/2 + (490*s[68])/3 - 39*s[69] - 
       34*s[70] + (113*s[71])/4 + 130*s[72] + 473*s[73] - 96*s[74] + 
       96*s[75] + (1145*s[76])/3 + 140*s[77] - 204*s[78] - (1499*s[79])/3 - 
       (1633*s[80])/36 - 4151*s[82] - (123*s[83])/4 - (165*s[84])/2 - 
       130*s[85])*\[Zeta][2] + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((-3767*s[2])/8 - (1657*s[3])/48 - (461777*s[4])/96 - 
       (1801619*s[5])/528 - (3000905*s[6])/352 - (1527240695*s[7])/19008 + 
       (144600893*s[8])/28512 + (5474105*s[9])/81 + (15661961*s[10])/648 + 
       (1689331577*s[11])/19008 + (901441661*s[12])/9504 + 
       (365096939*s[13])/6336 + (198115823*s[14])/19008 + 
       (64058107*s[15])/576 + (442500671*s[16])/3168 + 
       (2148466735*s[17])/19008 + (43780501*s[18])/3888 + 
       (140169325*s[19])/7776 + (13604220457*s[20])/85536 + 
       (9753415205*s[21])/171072 - (7221761653*s[22])/171072 - 
       (14582735*s[23])/198 - (4087544677*s[24])/42768 + 
       (2707762751*s[25])/24057 - (5850888089*s[26])/96228 + 5*s[30] - 
       (743*s[31])/6 + (529*s[32])/6 - (1687*s[33])/48 + (1247*s[34])/6 - 
       (301*s[35])/4 + (4049*s[36])/12 - (5759*s[37])/36 - 3077*s[38] + 
       (36607*s[39])/4 - (31186*s[40])/3 + (200173*s[41])/24 - 
       (537451*s[42])/48 - (1580923*s[43])/132 + (5383879*s[44])/528 - 
       (1410704*s[45])/99 + (37847717*s[46])/396 + (957115*s[47])/792 - 
       (6664235*s[48])/792 + (85221733*s[49])/1584 - (19953143*s[50])/264 - 
       (10089061*s[51])/1584 - (8306987*s[52])/1584 + (63223939*s[53])/1188 + 
       (908696*s[54])/99 + (274436407*s[55])/792 + (382003577*s[56])/4752 - 
       (11136899*s[57])/891 + (5455823761*s[58])/42768 - 
       (5939586811*s[59])/42768 - (7972632047*s[60])/9504 + 
       (15386728453*s[61])/384912 - (59*s[65])/4 - 57*s[66] + (177*s[67])/2 + 
       (430*s[68])/3 - 81*s[69] - (47*s[70])/2 + (93*s[71])/4 + 
       (197*s[72])/2 + (985*s[73])/2 - (657*s[74])/8 + (657*s[75])/8 + 
       (1154*s[76])/3 + (519*s[77])/4 - 254*s[78] - (2066*s[79])/3 - 
       (101*s[80])/18 - 4151*s[82] - (123*s[83])/4 - (165*s[84])/2 - 
       130*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((-897*s[2])/4 + (3365*s[3])/24 - (7987*s[4])/6 - 
       (149747*s[5])/66 - (783029*s[6])/176 - (358026095*s[7])/9504 + 
       (22811825*s[8])/14256 + (21015815*s[9])/648 + (4035809*s[10])/324 + 
       (194803483*s[11])/4752 + (399327073*s[12])/9504 + 
       (80059861*s[13])/3168 + (90816953*s[14])/9504 + (15488489*s[15])/288 + 
       (11712375*s[16])/176 + (273543827*s[17])/4752 + 
       (23678537*s[18])/3888 + (30281527*s[19])/3888 + 
       (1684279469*s[20])/21384 + (2624114663*s[21])/85536 - 
       (1699833997*s[22])/85536 - (83856137*s[23])/3168 - 
       (3861618073*s[24])/85536 + (4739259319*s[25])/96228 - 
       (5659005047*s[26])/192456 - 10*s[29] + (73*s[30])/4 - (283*s[31])/6 + 
       (157*s[32])/3 + (2569*s[33])/48 + (1091*s[34])/12 - 52*s[35] + 
       (1363*s[36])/12 - (2527*s[37])/36 - 1212*s[38] + (12541*s[39])/4 - 
       (22171*s[40])/6 + (70133*s[41])/24 - (20881*s[42])/6 - 
       (166487*s[43])/33 + (1026583*s[44])/264 - (10776523*s[45])/1584 + 
       (65485297*s[46])/1584 + (2008579*s[47])/1584 - (7315373*s[48])/1584 + 
       (4322539*s[49])/198 - (4291523*s[50])/132 - (339487*s[51])/198 - 
       (308303*s[52])/198 + (110969603*s[53])/4752 + (3362603*s[54])/792 + 
       (245310499*s[55])/1584 + (87217829*s[56])/2376 + 
       (37320205*s[57])/7128 + (2272396079*s[58])/42768 - 
       (1251450253*s[59])/21384 - (3488522053*s[60])/9504 + 
       (14178827251*s[61])/769824 - 10*s[65] - 38*s[66] + 56*s[67] + 
       (254*s[68])/3 - 18*s[69] - (13*s[70])/2 + (31*s[71])/2 + 65*s[72] + 
       220*s[73] - (237*s[74])/4 + (237*s[75])/4 + (478*s[76])/3 + 70*s[77] - 
       (201*s[78])/2 - (679*s[79])/3 + (232*s[80])/9 - 2209*s[82] - 
       12*s[83] + 12*s[84] - 120*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*((-107*s[2])/3 + 
       (4199*s[3])/72 + (67387*s[4])/144 + (8687*s[5])/99 - 
       (73163*s[6])/528 + (103709323*s[7])/28512 - (26966017*s[8])/42768 - 
       (715115*s[9])/243 - (827371*s[10])/972 - (13569287*s[11])/3564 - 
       (60923713*s[12])/14256 - (10831165*s[13])/4752 + (963562*s[14])/891 - 
       (4911757*s[15])/864 - (6614123*s[16])/1056 - (66375007*s[17])/14256 - 
       (1596599*s[18])/5832 - (12620309*s[19])/11664 - 
       (832276037*s[20])/128304 - (208768889*s[21])/128304 + 
       (240475705*s[22])/128304 + (61488655*s[23])/9504 + 
       (1096853525*s[24])/256608 - (12913355485*s[25])/2309472 + 
       (5342648887*s[26])/2309472 - (13*s[30])/3 - (158*s[31])/9 - 
       (245*s[32])/36 - (643*s[33])/18 + (541*s[34])/18 - 31*s[35] - 
       (274*s[36])/9 - (7511*s[37])/216 + (1531*s[38])/12 - (5295*s[39])/4 + 
       (16789*s[40])/12 - (87655*s[41])/72 + (163219*s[42])/72 + 
       (195935*s[43])/396 - (1615697*s[44])/1584 - (3005815*s[45])/4752 - 
       (10562015*s[46])/4752 + (543163*s[47])/528 - (730109*s[48])/528 - 
       (5379067*s[49])/1584 + (527695*s[50])/198 + (7796969*s[51])/4752 + 
       (1484995*s[52])/1584 - (5523241*s[53])/3564 - (313201*s[54])/2376 - 
       (11332027*s[55])/2376 + (20438353*s[56])/14256 + 
       (465120599*s[57])/42768 - (141399817*s[58])/32076 + 
       (85100615*s[59])/16038 + (221817335*s[60])/14256 + 
       (785971343*s[61])/1154736 - (7*s[65])/3 - (28*s[66])/3 + 14*s[67] + 
       (95*s[68])/9 + (68*s[69])/3 - 4*s[70] + (85*s[71])/12 + 30*s[72] + 
       18*s[73] - (117*s[74])/4 + (117*s[75])/4 + (787*s[76])/9 + 2*s[77] - 
       32*s[78] + (869*s[79])/9 - (5255*s[80])/108 - 618*s[82] - 12*s[83] + 
       72*s[84] - 116*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v]*(-26*s[2] + (65*s[3])/3 + (3937*s[4])/6 + 
       (2981*s[5])/3 + (2529*s[6])/2 + (1495961*s[7])/108 - 
       (205733*s[8])/162 - (975115*s[9])/81 - (258911*s[10])/81 - 
       (1641185*s[11])/108 - (449437*s[12])/27 - (353525*s[13])/36 - 
       (152789*s[14])/108 - (662999*s[15])/36 - (415673*s[16])/18 - 
       (1888171*s[17])/108 - (744098*s[18])/243 - (633971*s[19])/486 - 
       (13539343*s[20])/486 - (10654271*s[21])/972 + (7207471*s[22])/972 + 
       (342713*s[23])/18 + (6701633*s[24])/486 - (41716175*s[25])/2187 + 
       (24111248*s[26])/2187 - 8*s[30] + (20*s[31])/3 + (26*s[32])/3 + 
       (62*s[33])/3 - (164*s[34])/3 - 76*s[35] - 124*s[36] + (1207*s[37])/9 + 
       604*s[38] - 3179*s[39] + (9541*s[40])/3 - (7189*s[41])/3 + 
       4993*s[42] + (15437*s[43])/11 - (51187*s[44])/22 + (70325*s[45])/198 - 
       (2279105*s[46])/198 + (233113*s[47])/99 - (236576*s[48])/99 - 
       (813739*s[49])/99 + (97072*s[50])/11 + (37618*s[51])/11 + 
       (508027*s[52])/198 - (3380185*s[53])/594 + (48272*s[54])/99 - 
       (2937655*s[55])/99 - (2128774*s[56])/297 + (32281126*s[57])/891 - 
       (129408373*s[58])/5346 + (63797540*s[59])/2673 + 
       (32104043*s[60])/396 - (332245517*s[61])/96228 - 12*s[65] - 48*s[66] + 
       72*s[67] + (148*s[68])/3 + 80*s[69] + 4*s[70] + 20*s[71] + 64*s[72] + 
       32*s[73] - 56*s[74] + 56*s[75] + (224*s[76])/3 - 4*s[77] + 44*s[78] - 
       (200*s[79])/3 + (266*s[80])/9 - 632*s[82] - 112*s[85])*\[Zeta][2] + 
     HPL[{0, 0, 0, 0, 1}, 1 - u]*(-42*s[2] + (245*s[3])/3 + (3721*s[4])/6 + 
       (36793*s[5])/33 + (32503*s[6])/22 + (17172037*s[7])/1188 - 
       (2349007*s[8])/1782 - (1014934*s[9])/81 - (264020*s[10])/81 - 
       (18621937*s[11])/1188 - (5049464*s[12])/297 - (3945169*s[13])/396 - 
       (2262145*s[14])/1188 - (701777*s[15])/36 - (4796419*s[16])/198 - 
       (22243871*s[17])/1188 - (1680079*s[18])/486 - (468125*s[19])/486 - 
       (157285985*s[20])/5346 - (126976771*s[21])/10692 + 
       (82157399*s[22])/10692 + (2076923*s[23])/99 + (74409499*s[24])/5346 - 
       (939998789*s[25])/48114 + (562203413*s[26])/48114 - 8*s[30] + 
       (32*s[31])/3 + (17*s[32])/3 + (56*s[33])/3 - (176*s[34])/3 - 
       76*s[35] - 132*s[36] + (2155*s[37])/9 + 552*s[38] - 3213*s[39] + 
       (9673*s[40])/3 - (7057*s[41])/3 + 5079*s[42] + 1377*s[43] - 
       (4747*s[44])/2 + (9025*s[45])/18 - (217213*s[46])/18 + 
       (21272*s[47])/9 - (22705*s[48])/9 - (70790*s[49])/9 + 9008*s[50] + 
       3365*s[51] + (47183*s[52])/18 - (332597*s[53])/54 + (10054*s[54])/9 - 
       (294458*s[55])/9 - (232973*s[56])/27 + (3036155*s[57])/81 - 
       (12391895*s[58])/486 + (6138613*s[59])/243 + (2969129*s[60])/36 - 
       (35621677*s[61])/8748 - 12*s[65] - 48*s[66] + 72*s[67] + 
       (124*s[68])/3 + 68*s[69] + 4*s[70] + 20*s[71] + 64*s[72] + 32*s[73] - 
       56*s[74] + 56*s[75] + (224*s[76])/3 - 16*s[77] + 44*s[78] - 
       (200*s[79])/3 + (326*s[80])/9 - 632*s[82] - 112*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*((-83*s[2])/2 + 
       (2069*s[3])/12 + (12121*s[4])/24 + (36335*s[5])/66 + (42321*s[6])/88 + 
       (35992159*s[7])/4752 - (5781565*s[8])/7128 - (1041371*s[9])/162 - 
       (527555*s[10])/324 - (39857557*s[11])/4752 - (11057735*s[12])/1188 - 
       (2880539*s[13])/528 + (928775*s[14])/4752 - (165315*s[15])/16 - 
       (4985551*s[16])/396 - (43782275*s[17])/4752 - (382799*s[18])/243 - 
       (2036813*s[19])/1944 - (313944149*s[20])/21384 - 
       (238912447*s[21])/42768 + (170026979*s[22])/42768 + 
       (523129*s[23])/44 + (20654978*s[24])/2673 - (2111910089*s[25])/
        192456 + (1152092993*s[26])/192456 - 8*s[30] - (22*s[31])/3 + 
       (50*s[32])/3 + (89*s[33])/12 - (68*s[34])/3 - 67*s[35] - 
       (271*s[36])/3 + (1367*s[37])/18 + 458*s[38] - (4613*s[39])/2 + 
       (13309*s[40])/6 - (10175*s[41])/6 + (10721*s[42])/3 + 
       (65113*s[43])/66 - (437533*s[44])/264 - (53243*s[45])/396 - 
       (2585797*s[46])/396 + (1358923*s[47])/792 - (1476569*s[48])/792 - 
       (4839553*s[49])/792 + (348763*s[50])/66 + (1958779*s[51])/792 + 
       (1388609*s[52])/792 - (1920997*s[53])/594 - (6947*s[54])/198 - 
       (11737679*s[55])/792 - (4766669*s[56])/2376 + (84535765*s[57])/3564 - 
       (299821933*s[58])/21384 + (303614947*s[59])/21384 + 
       (218877425*s[60])/4752 - (217333123*s[61])/192456 - 9*s[65] - 
       42*s[66] + 54*s[67] + (190*s[68])/3 + 60*s[69] + 26*s[70] + 17*s[71] + 
       46*s[72] + 34*s[73] - (85*s[74])/2 + (85*s[75])/2 + (224*s[76])/3 - 
       23*s[77] + 14*s[78] - (548*s[79])/3 + (605*s[80])/9 - 632*s[82] - 
       112*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*
      (-62*s[2] + (851*s[3])/3 + (17093*s[4])/12 + (108643*s[5])/132 + 
       (16296*s[6])/11 + (10494647*s[7])/594 - (1809602*s[8])/891 - 
       (2369249*s[9])/162 - (1229951*s[10])/324 - (23461957*s[11])/1188 - 
       (26668019*s[12])/1188 - (1331309*s[13])/99 + (842531*s[14])/1188 - 
       (207607*s[15])/9 - (1290745*s[16])/44 - (24615179*s[17])/1188 - 
       (1592491*s[18])/486 - (647311*s[19])/243 - (88489123*s[20])/2673 - 
       (62732543*s[21])/5346 + (98379773*s[22])/10692 + 
       (10934059*s[23])/396 + (195246677*s[24])/10692 - 
       (632785396*s[25])/24057 + (655857269*s[26])/48114 - 6*s[29] + s[30] - 
       (52*s[31])/3 + (80*s[32])/3 + (113*s[33])/12 - (65*s[34])/3 - 
       76*s[35] - (476*s[36])/3 + (1417*s[37])/9 + 904*s[38] - 4060*s[39] + 
       4080*s[40] - (9280*s[41])/3 + (18376*s[42])/3 + (75844*s[43])/33 - 
       (102910*s[44])/33 + (258773*s[45])/198 - (3650951*s[46])/198 + 
       (168193*s[47])/66 - (145439*s[48])/66 - (809939*s[49])/66 + 
       (470116*s[50])/33 + (818579*s[51])/198 + (35044*s[52])/11 - 
       (5630443*s[53])/594 + (1052*s[54])/99 - (10679525*s[55])/198 - 
       (7415135*s[56])/594 + (35380402*s[57])/891 - (91527521*s[58])/2673 + 
       (185001391*s[59])/5346 + (83598113*s[60])/594 - 
       (593209607*s[61])/96228 - 12*s[65] - 44*s[66] + 72*s[67] + 
       (214*s[68])/3 + 62*s[69] + 28*s[70] + 20*s[71] + 64*s[72] + 32*s[73] - 
       56*s[74] + 56*s[75] + (230*s[76])/3 - 32*s[77] + 40*s[78] - 
       (296*s[79])/3 + (650*s[80])/9 - 632*s[82] - 112*s[85])*\[Zeta][2] + 
     HPL[{0, 0, 0, 0, 1}, 1 - w]*(-26*s[2] + (161*s[3])/3 + (1982*s[4])/3 + 
       (34747*s[5])/33 + (15751*s[6])/11 + (4184959*s[7])/297 - 
       (1128650*s[8])/891 - (990610*s[9])/81 - (254108*s[10])/81 - 
       (9115031*s[11])/594 - (4967921*s[12])/297 - (647465*s[13])/66 - 
       (1083437*s[14])/594 - 18853*s[15] - (4648271*s[16])/198 - 
       (10693909*s[17])/594 - (802043*s[18])/243 - (250342*s[19])/243 - 
       (76335715*s[20])/2673 - (60716963*s[21])/5346 + 
       (20061782*s[22])/2673 + (1308719*s[23])/66 + (72658057*s[24])/5346 - 
       (460902400*s[25])/24057 + (271089358*s[26])/24057 - 14*s[30] + 
       (32*s[31])/3 + (26*s[32])/3 + (56*s[33])/3 - (176*s[34])/3 - 
       44*s[35] - (314*s[36])/3 + (1645*s[37])/9 + 570*s[38] - 
       (6385*s[39])/2 + (6397*s[40])/2 - (14243*s[41])/6 + (30233*s[42])/6 + 
       (8011*s[43])/6 - (27977*s[44])/12 + (3713*s[45])/9 - 
       (211441*s[46])/18 + (9589*s[47])/4 - (9957*s[48])/4 - 
       (94057*s[49])/12 + (26432*s[50])/3 + (123215*s[51])/36 + 
       (31213*s[52])/12 - (315185*s[53])/54 + (10258*s[54])/9 - 
       (1095707*s[55])/36 - (857291*s[56])/108 + (5976343*s[57])/162 - 
       (24030445*s[58])/972 + (23403343*s[59])/972 + (17496409*s[60])/216 - 
       (31868893*s[61])/8748 - 12*s[65] - 48*s[66] + 72*s[67] + 
       (142*s[68])/3 + 74*s[69] + 4*s[70] + 20*s[71] + 64*s[72] + 32*s[73] - 
       56*s[74] + 56*s[75] - (46*s[76])/3 - 10*s[77] + 56*s[78] - 
       (128*s[79])/3 + (764*s[80])/9 - 632*s[82] - 112*s[85])*\[Zeta][2] + 
     HPL[{0, 0, 0, 0, 1}, 1 - v]*(123*s[2] + (107*s[3])/3 + (4051*s[4])/6 + 
       (61343*s[5])/66 + (14904*s[6])/11 + (16722775*s[7])/1188 - 
       (1083638*s[8])/891 - (995671*s[9])/81 - (508651*s[10])/162 - 
       (18289627*s[11])/1188 - (10033423*s[12])/594 - (1324355*s[13])/132 - 
       (1778761*s[14])/1188 - (74121*s[15])/4 - (2302834*s[16])/99 - 
       (20618027*s[17])/1188 - (1570753*s[18])/486 - (428645*s[19])/486 - 
       (151915499*s[20])/5346 - (116304901*s[21])/10692 + 
       (81211619*s[22])/10692 + (219438*s[23])/11 + (36204074*s[24])/2673 - 
       (1871470543*s[25])/96228 + (1056276643*s[26])/96228 - 8*s[30] + 
       (302*s[31])/3 + (26*s[32])/3 + (877*s[33])/6 - (464*s[34])/3 - 
       12*s[35] - (314*s[36])/3 + (1645*s[37])/9 + 570*s[38] - 
       (6385*s[39])/2 + (6425*s[40])/2 - (14243*s[41])/6 + (30233*s[42])/6 + 
       (8011*s[43])/6 - (27977*s[44])/12 + (3839*s[45])/9 - 
       (211441*s[46])/18 + (9589*s[47])/4 - (9957*s[48])/4 - 
       (94057*s[49])/12 + (26432*s[50])/3 + (123215*s[51])/36 + 
       (31213*s[52])/12 - (315185*s[53])/54 + (9682*s[54])/9 - 
       (1094051*s[55])/36 - (852107*s[56])/108 + (5993839*s[57])/162 - 
       (24036925*s[58])/972 + (23409823*s[59])/972 + (17478697*s[60])/216 - 
       (32038021*s[61])/8748 - 12*s[65] - 48*s[66] + 72*s[67] + 
       (142*s[68])/3 + 90*s[69] + 4*s[70] + 20*s[71] + 64*s[72] + 32*s[73] - 
       56*s[74] + 56*s[75] - (46*s[76])/3 - 10*s[77] + 56*s[78] - 
       (128*s[79])/3 + (764*s[80])/9 - 632*s[82] - 112*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*(-23*s[2] + (199*s[3])/6 - 
       (8623*s[4])/6 - (49129*s[5])/44 - (332395*s[6])/132 - 
       (14094431*s[7])/594 + (1837183*s[8])/891 + (6536393*s[9])/324 + 
       (1894321*s[10])/324 + (15342949*s[11])/594 + (16885661*s[12])/594 + 
       (4985086*s[13])/297 + (871661*s[14])/297 + (1689127*s[15])/54 + 
       (46785823*s[16])/1188 + (11789845*s[17])/396 + (5024365*s[18])/972 + 
       (555029*s[19])/243 + (253292311*s[20])/5346 + (188063639*s[21])/
        10692 - (133484971*s[22])/10692 - (9346850*s[23])/297 - 
       (258050017*s[24])/10692 + (6288489013*s[25])/192456 - 
       (3541379503*s[26])/192456 + (2*s[30])/3 - (52*s[31])/3 - 
       (32*s[32])/3 - (28*s[33])/3 + (68*s[34])/3 + (7*s[35])/3 + 
       (562*s[36])/9 - (4087*s[37])/36 - (5767*s[38])/6 + (42325*s[39])/12 - 
       (141007*s[40])/36 + (9127*s[41])/3 - (90391*s[42])/18 - 
       (1299233*s[43])/396 + (2502259*s[44])/792 - (3394619*s[45])/792 + 
       (8122189*s[46])/264 - (2532125*s[47])/2376 - (1337723*s[48])/2376 + 
       (33180263*s[49])/2376 - (4610761*s[50])/198 - (8194249*s[51])/2376 - 
       (6998533*s[52])/2376 + (13170979*s[53])/792 - (57379*s[54])/44 + 
       (84842267*s[55])/792 + (69954415*s[56])/2376 - (21172160*s[57])/891 + 
       (507893629*s[58])/10692 - (1029588515*s[59])/21384 - 
       (890309159*s[60])/3564 + (5407758847*s[61])/384912 - (13*s[65])/3 - 
       (52*s[66])/3 + (100*s[67])/3 + 14*s[68] + (175*s[69])/3 + 
       (40*s[70])/3 + (28*s[71])/3 - (2*s[72])/3 - (86*s[73])/3 + 
       (21*s[74])/2 - (21*s[75])/2 + 84*s[76] - (92*s[77])/3 - (74*s[78])/3 - 
       (1066*s[79])/3 - (181*s[80])/18 + 170*s[82] + 7*s[83] - 212*s[84] - 
       108*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*(-189*s[2] - (39*s[3])/4 - (1421*s[4])/2 - 
       (359121*s[5])/176 - (304967*s[6])/88 - (15565951*s[7])/528 + 
       (2815081*s[8])/2376 + (5515019*s[9])/216 + (4306907*s[10])/432 + 
       (100284125*s[11])/3168 + (101553367*s[12])/3168 + 
       (29867287*s[13])/1584 + (7094993*s[14])/792 + (1519103*s[15])/36 + 
       (82353763*s[16])/1584 + (144390113*s[17])/3168 + (1812407*s[18])/324 + 
       (6743209*s[19])/1296 + (907666783*s[20])/14256 + 
       (90688843*s[21])/3564 - (221556239*s[22])/14256 - 
       (63907171*s[23])/3168 - (984954379*s[24])/28512 + 
       (4775404861*s[25])/128304 - (372564431*s[26])/16038 - 28*s[29] + 
       18*s[30] - 50*s[31] + 38*s[32] + 19*s[33] + 64*s[34] - 8*s[35] + 
       (607*s[36])/6 - 27*s[37] - (2861*s[38])/4 + (35287*s[39])/16 - 
       (123389*s[40])/48 + (30361*s[41])/16 - (132133*s[42])/48 - 
       (1505311*s[43])/528 + (2675579*s[44])/1056 - (737003*s[45])/176 + 
       (3412441*s[46])/132 + (476147*s[47])/3168 - (7044355*s[48])/3168 + 
       (39714859*s[49])/3168 - (651730*s[50])/33 - (5169347*s[51])/3168 - 
       (4667249*s[52])/3168 + (11156461*s[53])/792 + (161185*s[54])/132 + 
       (32769663*s[55])/352 + (76177633*s[56])/3168 - (14054713*s[57])/2376 + 
       (1035184985*s[58])/28512 - (1074619277*s[59])/28512 - 
       (4217227855*s[60])/19008 + (1557475123*s[61])/128304 - 8*s[63] - 
       3*s[65] - 18*s[66] + 16*s[67] + 34*s[68] + 10*s[69] - 22*s[70] + 
       7*s[71] + 24*s[72] + 57*s[73] - 16*s[74] + 16*s[75] + 54*s[76] + 
       32*s[77] - 27*s[78] - 46*s[79] + s[80] - (2059*s[82])/2 - 
       (15*s[83])/2 - 39*s[84] - 108*s[85])*\[Zeta][2] + 
     M1[u, v, w]*(33*s[2] - (209*s[3])/6 + (4031*s[4])/12 + (13133*s[5])/66 + 
       (4443*s[6])/44 + (11461325*s[7])/2376 - (1411295*s[8])/3564 - 
       (660743*s[9])/162 - (134195*s[10])/81 - (12492515*s[11])/2376 - 
       (6487571*s[12])/1188 - (2510017*s[13])/792 + (326719*s[14])/2376 - 
       (540257*s[15])/72 - (387351*s[16])/44 - (17408617*s[17])/2376 - 
       (62534*s[18])/243 - (1673593*s[19])/972 - (100730701*s[20])/10692 - 
       (64877735*s[21])/21384 + (55545091*s[22])/21384 + (381277*s[23])/99 + 
       (16994795*s[24])/2673 - (665537083*s[25])/96228 + 
       (320226721*s[26])/96228 - 4*s[30] + (14*s[31])/3 - (34*s[32])/3 + 
       (29*s[33])/3 - (86*s[34])/3 - 26*s[35] - (238*s[36])/3 + 
       (53*s[37])/18 + 208*s[38] - (1889*s[39])/2 + (5695*s[40])/6 - 
       (5033*s[41])/6 + (8155*s[42])/6 + (52837*s[43])/66 - 
       (124733*s[44])/132 + (107731*s[45])/396 - (1967047*s[46])/396 + 
       (17492*s[47])/99 - (2471*s[48])/198 - (463436*s[49])/99 + 
       (155753*s[50])/33 + (149605*s[51])/198 + (138667*s[52])/396 - 
       (3752399*s[53])/1188 - (178753*s[54])/99 - (1762333*s[55])/99 - 
       (921125*s[56])/594 + (1234471*s[57])/891 - (62905361*s[58])/10692 + 
       (40839595*s[59])/5346 + (109433317*s[60])/2376 - 
       (169607203*s[61])/192456 - 2*s[65] - 8*s[66] + 12*s[67] - 
       (20*s[68])/3 + 40*s[69] + 2*s[70] + 6*s[71] + 8*s[72] - 32*s[73] - 
       10*s[74] + 10*s[75] + (2*s[76])/3 - 14*s[77] + 22*s[78] - 
       (116*s[79])/3 + (515*s[80])/9 + 116*s[82] - 104*s[85])*\[Zeta][2] + 
     M1[v, w, u]*(33*s[2] - (211*s[3])/6 + (3889*s[4])/12 + (6506*s[5])/33 + 
       (4135*s[6])/44 + (11167999*s[7])/2376 - (1368043*s[8])/3564 - 
       (322247*s[9])/81 - (262373*s[10])/162 - (12157345*s[11])/2376 - 
       (6298921*s[12])/1188 - (2431235*s[13])/792 + (290309*s[14])/2376 - 
       (528415*s[15])/72 - (1134839*s[16])/132 - (17048807*s[17])/2376 - 
       (120701*s[18])/486 - (1630835*s[19])/972 - (98429963*s[20])/10692 - 
       (63520489*s[21])/21384 + (54173897*s[22])/21384 + (735901*s[23])/198 + 
       (33135539*s[24])/5346 - (161781824*s[25])/24057 + 
       (155997067*s[26])/48114 - 4*s[30] + (16*s[31])/3 - (32*s[32])/3 + 
       (28*s[33])/3 - (88*s[34])/3 - 26*s[35] - (232*s[36])/3 + 
       (205*s[37])/18 + 185*s[38] - (1635*s[39])/2 + (1595*s[40])/2 - 
       (2117*s[41])/3 + (3515*s[42])/3 + (3929*s[43])/6 - (9529*s[44])/12 + 
       (7597*s[45])/36 - (148513*s[46])/36 + (2113*s[47])/12 - 
       (1013*s[48])/12 - (15973*s[49])/4 + (11971*s[50])/3 + 
       (22891*s[51])/36 + (3349*s[52])/12 - (288995*s[53])/108 - 
       (30593*s[54])/18 - (538873*s[55])/36 - (120931*s[56])/108 + 
       (191075*s[57])/162 - (2359693*s[58])/486 + (6257333*s[59])/972 + 
       (4156855*s[60])/108 - (11053153*s[61])/17496 - 2*s[65] - 8*s[66] + 
       12*s[67] - (10*s[68])/3 + 36*s[69] + 2*s[70] + 6*s[71] + 8*s[72] - 
       32*s[73] - 10*s[74] + 10*s[75] - (2*s[76])/3 - 10*s[77] + 20*s[78] - 
       (124*s[79])/3 + (517*s[80])/9 + 116*s[82] - 104*s[85])*\[Zeta][2] + 
     M1[w, u, v]*(33*s[2] - (69*s[3])/2 + (1259*s[4])/4 + (4143*s[5])/22 + 
       (3541*s[6])/44 + (3595477*s[7])/792 - (48751*s[8])/132 - 
       (7697*s[9])/2 - (4720*s[10])/3 - (1303213*s[11])/264 - 
       (224649*s[12])/44 - (2329859*s[13])/792 + (31445*s[14])/264 - 
       (513043*s[15])/72 - (3296893*s[16])/396 - (5518669*s[17])/792 - 
       (6259*s[18])/27 - (176447*s[19])/108 - (10589483*s[20])/1188 - 
       (6810821*s[21])/2376 + (1941539*s[22])/792 + (708049*s[23])/198 + 
       (395837*s[24])/66 - (69315817*s[25])/10692 + (33340675*s[26])/10692 - 
       4*s[30] + 6*s[31] - 10*s[32] + 9*s[33] - 30*s[34] - 26*s[35] - 
       (233*s[36])/3 + (121*s[37])/6 + 211*s[38] - (3401*s[39])/4 + 
       (9839*s[40])/12 - (2859*s[41])/4 + (14401*s[42])/12 + 
       (88717*s[43])/132 - (210707*s[44])/264 + (24857*s[45])/132 - 
       (88989*s[46])/22 + (159163*s[47])/792 - (87875*s[48])/792 - 
       (3209977*s[49])/792 + (128965*s[50])/33 + (522593*s[51])/792 + 
       (248969*s[52])/792 - (28344*s[53])/11 - (37853*s[54])/22 - 
       (3773063*s[55])/264 - (721727*s[56])/792 + (526654*s[57])/297 - 
       (34898395*s[58])/7128 + (45928903*s[59])/7128 + 
       (180107545*s[60])/4752 - (8176783*s[61])/16038 - 2*s[65] - 8*s[66] + 
       12*s[67] - 2*s[68] + 32*s[69] + 2*s[70] + 6*s[71] + 8*s[72] - 
       32*s[73] - 10*s[74] + 10*s[75] - 8*s[76] - 6*s[77] + 26*s[78] - 
       40*s[79] + (217*s[80])/3 + 116*s[82] - 104*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*((-779*s[2])/6 - (199*s[3])/4 - 
       (21687*s[4])/8 - (107843*s[5])/66 - (1202899*s[6])/264 - 
       (196938283*s[7])/4752 + (22123861*s[8])/7128 + (11286301*s[9])/324 + 
       (3712973*s[10])/324 + (217206829*s[11])/4752 + (58911107*s[12])/1188 + 
       (5292833*s[13])/176 + (22791181*s[14])/4752 + (8061695*s[15])/144 + 
       (27969409*s[16])/396 + (261872447*s[17])/4752 + (6532319*s[18])/972 + 
       (14592491*s[19])/1944 + (1747017491*s[20])/21384 + 
       (1246902391*s[21])/42768 - (931064183*s[22])/42768 - 
       (495261*s[23])/11 - (250442431*s[24])/5346 + (1405363042*s[25])/
        24057 - (3039274129*s[26])/96228 - (16*s[30])/3 - (103*s[31])/3 + 
       (82*s[32])/3 - (56*s[33])/3 + (151*s[34])/3 - (5*s[35])/3 + 
       (899*s[36])/9 - (1477*s[37])/36 - (4460*s[38])/3 + (62975*s[39])/12 - 
       (213089*s[40])/36 + (57229*s[41])/12 - (130097*s[42])/18 - 
       (2189815*s[43])/396 + (2071867*s[44])/396 - (4902455*s[45])/792 + 
       (36522007*s[46])/792 - (1895995*s[47])/2376 - (5589553*s[48])/2376 + 
       (58345051*s[49])/2376 - (7100567*s[50])/198 - (11245187*s[51])/2376 - 
       (1135045*s[52])/297 + (29606347*s[53])/1188 + (406841*s[54])/396 + 
       (126711083*s[55])/792 + (31910825*s[56])/792 - (5241733*s[57])/198 + 
       (240320029*s[58])/3564 - (500389193*s[59])/7128 - 
       (2775861875*s[60])/7128 + (2511937181*s[61])/128304 - (11*s[65])/3 - 
       (38*s[66])/3 + (46*s[67])/3 + (55*s[68])/3 - (14*s[69])/3 - 
       (11*s[70])/3 + (41*s[71])/3 + (16*s[72])/3 + 83*s[73] + s[74] - 
       s[75] + (244*s[76])/3 + (19*s[77])/3 - (140*s[78])/3 - 
       (1546*s[79])/3 + (533*s[80])/18 - 668*s[82] - 4*s[83] - 240*s[84] - 
       104*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]*
      (-33*s[2] + (301*s[3])/6 + (2135*s[4])/3 + (493381*s[5])/528 + 
       (224773*s[6])/176 + (130183841*s[7])/9504 - (1187735*s[8])/891 - 
       (7663151*s[9])/648 - (495787*s[10])/162 - (17894011*s[11])/1188 - 
       (39531625*s[12])/2376 - (5196991*s[13])/528 - (5639113*s[14])/4752 - 
       (1725691*s[15])/96 - (71927945*s[16])/3168 - (40064449*s[17])/2376 - 
       (12013031*s[18])/3888 - (4625977*s[19])/3888 - (72951121*s[20])/2673 - 
       (227107691*s[21])/21384 + (19519712*s[22])/2673 + 
       (20812907*s[23])/1056 + (1154129041*s[24])/85536 - 
       (7337386993*s[25])/384912 + (4190201797*s[26])/384912 - 7*s[30] + 
       (8*s[31])/3 + (35*s[32])/3 + (59*s[33])/3 - (137*s[34])/3 - 74*s[35] - 
       (329*s[36])/3 + (1213*s[37])/9 + 605*s[38] - (50657*s[39])/16 + 
       (50769*s[40])/16 - (115123*s[41])/48 + (239749*s[42])/48 + 
       (71135*s[43])/48 - (111653*s[44])/48 + (66785*s[45])/144 - 
       (870697*s[46])/72 + (111277*s[47])/48 - (26921*s[48])/12 - 
       (99617*s[49])/12 + (55171*s[50])/6 + (494369*s[51])/144 + 
       (5179*s[52])/2 - (2578453*s[53])/432 + (6391*s[54])/9 - 
       (4561427*s[55])/144 - (863651*s[56])/108 + (2913464*s[57])/81 - 
       (48520319*s[58])/1944 + (23794369*s[59])/972 + (74298883*s[60])/864 - 
       (133979263*s[61])/34992 - 11*s[65] - 43*s[66] + 64*s[67] + 
       (136*s[68])/3 + 67*s[69] + 6*s[70] + 19*s[71] + 60*s[72] + 40*s[73] - 
       52*s[74] + 52*s[75] + (212*s[76])/3 + s[77] + 32*s[78] - 
       (188*s[79])/3 + (266*s[80])/9 - 601*s[82] - 3*s[83] + 6*s[84] - 
       104*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*(20*s[2] + (427*s[3])/12 + (12865*s[4])/12 + 
       (466637*s[5])/528 + (56527*s[6])/44 + (79740755*s[7])/4752 - 
       (5548951*s[8])/3564 - (9241453*s[9])/648 - (5608177*s[10])/1296 - 
       (174922027*s[11])/9504 - (190777685*s[12])/9504 - 
       (18796607*s[13])/1584 - (964241*s[14])/1188 - (1673489*s[15])/72 - 
       (45209575*s[16])/1584 - (208537619*s[17])/9504 - (1349963*s[18])/486 - 
       (11607833*s[19])/3888 - (1411874009*s[20])/42768 - 
       (63680149*s[21])/5346 + (380279305*s[22])/42768 + 
       (65190971*s[23])/3168 + (1585776965*s[24])/85536 - 
       (4572328483*s[25])/192456 + (4906472249*s[26])/384912 - 6*s[30] + 
       (4*s[31])/3 - (17*s[32])/12 + (46*s[33])/3 - (118*s[34])/3 - 
       62*s[35] - 126*s[36] + (1609*s[37])/18 + (2971*s[38])/4 - 
       (53159*s[39])/16 + (165125*s[40])/48 - (131087*s[41])/48 + 
       (79271*s[42])/16 + (402493*s[43])/176 - (995701*s[44])/352 + 
       (2449313*s[45])/1584 - (14303947*s[46])/792 + (5110717*s[47])/3168 - 
       (3517661*s[48])/3168 - (37752835*s[49])/3168 + (161006*s[50])/11 + 
       (1158715*s[51])/352 + (7468301*s[52])/3168 - (23724203*s[53])/2376 - 
       (92219*s[54])/99 - (186142471*s[55])/3168 - (116176075*s[56])/9504 + 
       (169465903*s[57])/7128 - (2491217255*s[58])/85536 + 
       (2637424631*s[59])/85536 + (103304777*s[60])/704 - 
       (1165617269*s[61])/192456 - 6*s[65] - 24*s[66] + 36*s[67] + 
       (79*s[68])/6 + (111*s[69])/2 + 4*s[70] + 14*s[71] + 36*s[72] - 
       35*s[74] + 35*s[75] + (106*s[76])/3 - (23*s[77])/2 + 24*s[78] - 
       (16*s[79])/3 + (508*s[80])/9 - (345*s[82])/2 - 6*s[83] + 36*s[84] - 
       94*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*((17*s[2])/2 + (269*s[3])/24 + (50719*s[4])/48 + 
       (505433*s[5])/528 + (274755*s[6])/176 + (175944295*s[7])/9504 - 
       (22022887*s[8])/14256 - (10226593*s[9])/648 - (6618481*s[10])/1296 - 
       (48154531*s[11])/2376 - (207847553*s[12])/9504 - 
       (13771927*s[13])/1056 - (16241905*s[14])/9504 - (2458763*s[15])/96 - 
       (12542837*s[16])/396 - (118033969*s[17])/4752 - 
       (11614051*s[18])/3888 - (13278377*s[19])/3888 - 
       (1577627495*s[20])/42768 - (1147641019*s[21])/85536 + 
       (840685925*s[22])/85536 + (21279361*s[23])/1056 + 
       (1788737783*s[24])/85536 - (9955376129*s[25])/384912 + 
       (2710165069*s[26])/192456 - (7*s[30])/2 + (4*s[31])/3 - (2*s[32])/3 + 
       (28*s[33])/3 - (203*s[34])/6 - 66*s[35] - (793*s[36])/6 + 
       (5117*s[37])/36 + (3167*s[38])/4 - (52441*s[39])/16 + 
       (162331*s[40])/48 - (128273*s[41])/48 + (229987*s[42])/48 + 
       (1258153*s[43])/528 - (2966849*s[44])/1056 + (2835377*s[45])/1584 - 
       (3761017*s[46])/198 + (4632827*s[47])/3168 - (2427523*s[48])/3168 - 
       (38716307*s[49])/3168 + (2028865*s[50])/132 + (9998135*s[51])/3168 + 
       (7295779*s[52])/3168 - (12352999*s[53])/1188 - (898435*s[54])/792 - 
       (197103385*s[55])/3168 - (125905339*s[56])/9504 + 
       (19907945*s[57])/891 - (2568548447*s[58])/85536 + 
       (2707131563*s[59])/85536 + (2987959519*s[60])/19008 - 
       (624202261*s[61])/96228 - 6*s[65] - 24*s[66] + 36*s[67] + 
       (91*s[68])/6 + (95*s[69])/2 + 8*s[70] + 12*s[71] + 36*s[72] - 
       4*s[73] - (129*s[74])/4 + (129*s[75])/4 + (37*s[76])/3 - (7*s[77])/2 + 
       31*s[78] + (170*s[79])/3 + (715*s[80])/9 - (345*s[82])/2 - 6*s[83] + 
       36*s[84] - 94*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*
      ((-323*s[2])/4 + (475*s[3])/24 - (59329*s[4])/24 - (428787*s[5])/176 - 
       (2633107*s[6])/528 - (112372397*s[7])/2376 + (25762799*s[8])/7128 + 
       (52311953*s[9])/1296 + (4206559*s[10])/324 + (490811905*s[11])/9504 + 
       (264591295*s[12])/4752 + (314580701*s[13])/9504 + 
       (68744155*s[14])/9504 + (27665993*s[15])/432 + 
       (764917787*s[16])/9504 + (201364615*s[17])/3168 + 
       (34286773*s[18])/3888 + (27198863*s[19])/3888 + 
       (1024650827*s[20])/10692 + (3043976611*s[21])/85536 - 
       (2140247927*s[22])/85536 - (492595483*s[23])/9504 - 
       (4425965087*s[24])/85536 + (49858619131*s[25])/769824 - 
       (28078522363*s[26])/769824 + (65*s[30])/12 - (203*s[31])/6 + 
       (101*s[32])/6 - (1159*s[33])/48 + (875*s[34])/12 + (157*s[35])/3 + 
       (3275*s[36])/18 - (13865*s[37])/72 - (19007*s[38])/12 + 
       (162299*s[39])/24 - (531629*s[40])/72 + (69469*s[41])/12 - 
       (712447*s[42])/72 - (4302931*s[43])/792 + (19474489*s[44])/3168 - 
       (8990293*s[45])/1584 + (25551811*s[46])/528 - (24932393*s[47])/9504 + 
       (1620067*s[48])/9504 + (247400159*s[49])/9504 - (29787121*s[50])/792 - 
       (63586993*s[51])/9504 - (49366837*s[52])/9504 + (2279969*s[53])/88 + 
       (4505*s[54])/132 + (510960905*s[55])/3168 + (391105597*s[56])/9504 - 
       (360668161*s[57])/7128 + (6564820979*s[58])/85536 - 
       (6690332549*s[59])/85536 - (22446333515*s[60])/57024 + 
       (15506765261*s[61])/769824 + (83*s[65])/12 + (83*s[66])/3 - 
       (122*s[67])/3 - 23*s[68] - (173*s[69])/3 - (11*s[70])/3 - 
       (113*s[71])/12 - (155*s[72])/3 + (94*s[73])/3 + (101*s[74])/2 - 
       (101*s[75])/2 + 11*s[76] + (52*s[77])/3 - (457*s[78])/6 - 
       (1348*s[79])/3 + (2929*s[80])/36 - 645*s[82] - (35*s[83])/4 - 
       (415*s[84])/2 - 92*s[85])*\[Zeta][2] + HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - v]*((232*s[2])/3 - (595*s[3])/72 - 
       (26303*s[4])/144 + (420311*s[5])/1584 + (150305*s[6])/1056 + 
       (29063915*s[7])/14256 + (39200827*s[8])/85536 - (14072011*s[9])/7776 - 
       (2001085*s[10])/972 - (110421551*s[11])/57024 - 
       (34555693*s[12])/57024 - (1367299*s[13])/4752 - 
       (29470025*s[14])/14256 - (1180921*s[15])/216 - (17339419*s[16])/3168 - 
       (435362515*s[17])/57024 + (11424979*s[18])/23328 - 
       (50848009*s[19])/23328 - (374957953*s[20])/64152 - 
       (328286489*s[21])/128304 + (268298477*s[22])/256608 - 
       (133977265*s[23])/19008 + (2705791837*s[24])/513216 - 
       (6759898889*s[25])/4618944 + (6623730617*s[26])/4618944 + 16*s[29] - 
       (28*s[30])/3 + (55*s[31])/9 - (761*s[32])/36 - (1361*s[33])/36 - 
       (245*s[34])/18 + 26*s[35] - (253*s[36])/9 - (14039*s[37])/216 - 
       5*s[38] + (11495*s[39])/16 - (35813*s[40])/48 + (36023*s[41])/72 - 
       (53263*s[42])/36 + (625499*s[43])/1584 + (368615*s[44])/3168 + 
       (1080247*s[45])/2376 - (874589*s[46])/4752 - (4488293*s[47])/3168 + 
       (5955085*s[48])/3168 - (1967651*s[49])/1056 + (205465*s[50])/198 - 
       (13287281*s[51])/9504 - (3942911*s[52])/3168 - (3549853*s[53])/3564 - 
       (7633537*s[54])/2376 - (77008069*s[55])/9504 + 
       (49501211*s[56])/28512 - (906939595*s[57])/42768 + 
       (1585572403*s[58])/256608 - (814681633*s[59])/256608 + 
       (1050680483*s[60])/57024 + (1326510991*s[61])/2309472 + (14*s[65])/3 + 
       (56*s[66])/3 - 30*s[67] - (478*s[68])/9 + (41*s[69])/3 + 3*s[70] - 
       (59*s[71])/12 - 38*s[72] - 82*s[73] + (129*s[74])/4 - (129*s[75])/4 - 
       (368*s[76])/9 - 31*s[77] + 30*s[78] - (1063*s[79])/9 + 
       (6937*s[80])/108 + 743*s[82] + 3*s[83] - 90*s[84] - 88*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*
      ((1253*s[2])/24 - (287*s[3])/48 - (163039*s[4])/96 - 
       (260901*s[5])/176 - (3409037*s[6])/1056 - (188335555*s[7])/6336 + 
       (25471153*s[8])/9504 + (2733799*s[9])/108 + (393253*s[10])/54 + 
       (206508373*s[11])/6336 + (113976703*s[12])/3168 + 
       (45358235*s[13])/2112 + (22236007*s[14])/6336 + (22233493*s[15])/576 + 
       (17353935*s[16])/352 + (234658835*s[17])/6336 + (8023319*s[18])/1296 + 
       (8295089*s[19])/2592 + (1684398701*s[20])/28512 + 
       (1248885157*s[21])/57024 - (896195309*s[22])/57024 - 
       (3383429*s[23])/88 - (434985923*s[24])/14256 + 
       (5314671007*s[25])/128304 - (2963691295*s[26])/128304 - 2*s[29] + 
       (16*s[30])/3 - (41*s[31])/6 - 16*s[32] - (199*s[33])/16 + 
       (101*s[34])/6 + (683*s[35])/12 + (3091*s[36])/36 - (313*s[37])/3 - 
       (3058*s[38])/3 + (123059*s[39])/24 - (403907*s[40])/72 + 
       (17469*s[41])/4 - (1136243*s[42])/144 - (2721775*s[43])/792 + 
       (6954113*s[44])/1584 - (822409*s[45])/264 + (12447593*s[46])/396 - 
       (6540755*s[47])/2376 + (1638125*s[48])/1188 + (79630447*s[49])/4752 - 
       (19041277*s[50])/792 - (26404133*s[51])/4752 - (20493971*s[52])/4752 + 
       (38594909*s[53])/2376 - (719881*s[54])/396 + (3248444*s[55])/33 + 
       (127824469*s[56])/4752 - (351065135*s[57])/7128 + 
       (2319568583*s[58])/42768 - (2287102685*s[59])/42768 - 
       (6972163111*s[60])/28512 + (5033263145*s[61])/384912 + 2*s[63] + 
       (107*s[65])/12 + (113*s[66])/3 - (323*s[67])/6 - (104*s[68])/3 - 
       (166*s[69])/3 - (5*s[70])/6 - (137*s[71])/12 - (395*s[72])/6 - 
       (125*s[73])/2 + (473*s[74])/8 - (473*s[75])/8 - 54*s[76] - 
       (25*s[77])/12 - (79*s[78])/3 - 368*s[79] + (421*s[80])/3 + 163*s[82] - 
       (11*s[83])/4 - (369*s[84])/2 - 86*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*((79*s[2])/3 - (227*s[3])/8 - 
       (38633*s[4])/24 - (141727*s[5])/88 - (1714619*s[6])/528 - 
       (5343973*s[7])/176 + (18572923*s[8])/7128 + (33660973*s[9])/1296 + 
       (9966329*s[10])/1296 + (315166493*s[11])/9504 + 
       (345504409*s[12])/9504 + (102334519*s[13])/4752 + 
       (10328303*s[14])/2376 + (1075418*s[15])/27 + (240609031*s[16])/4752 + 
       (367355033*s[17])/9504 + (6213863*s[18])/972 + (12722173*s[19])/3888 + 
       (163737004*s[20])/2673 + (490908599*s[21])/21384 - 
       (687751061*s[22])/42768 - (359333185*s[23])/9504 - 
       (2686681501*s[24])/85536 + (16049741899*s[25])/384912 - 
       (9087551959*s[26])/384912 - (115*s[30])/12 - (23*s[31])/6 - 
       (55*s[32])/12 + (119*s[33])/48 + (51*s[34])/4 + (371*s[35])/6 + 
       (2839*s[36])/36 - (11225*s[37])/72 - (12485*s[38])/12 + 
       (238751*s[39])/48 - (780193*s[40])/144 + (201043*s[41])/48 - 
       (546667*s[42])/72 - (5180819*s[43])/1584 + (13377733*s[44])/3168 - 
       (5003209*s[45])/1584 + (1016203*s[46])/33 - (25762595*s[47])/9504 + 
       (12603535*s[48])/9504 + (152672699*s[49])/9504 - 
       (18607507*s[50])/792 - (51323551*s[51])/9504 - (39914959*s[52])/9504 + 
       (522187*s[53])/33 - (476371*s[54])/264 + (305576317*s[55])/3168 + 
       (254267449*s[56])/9504 - (689560901*s[57])/14256 + 
       (4566935231*s[58])/85536 - (4474389023*s[59])/85536 - 
       (13674700331*s[60])/57024 + (4993058383*s[61])/384912 + 
       (107*s[65])/12 + (113*s[66])/3 - (335*s[67])/6 - (125*s[68])/3 - 
       (145*s[69])/3 - (13*s[70])/3 - (149*s[71])/12 - (185*s[72])/3 - 
       (170*s[73])/3 + (697*s[74])/12 - (697*s[75])/12 - (212*s[76])/3 - 
       (37*s[77])/6 - (16*s[78])/3 - (1141*s[79])/3 + (5785*s[80])/36 + 
       163*s[82] - (11*s[83])/4 - (369*s[84])/2 - 86*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u]*((-189*s[2])/4 + 
       (6247*s[3])/72 + (178595*s[4])/144 + (569867*s[5])/792 + 
       (528485*s[6])/528 + (461138297*s[7])/28512 - (77005109*s[8])/42768 - 
       (26392667*s[9])/1944 - (7510189*s[10])/1944 - (508099139*s[11])/
        28512 - (141985777*s[12])/7128 - (4131421*s[13])/352 + 
       (15411685*s[14])/28512 - (6333955*s[15])/288 - (32272123*s[16])/1188 - 
       (563709613*s[17])/28512 - (3660457*s[18])/1458 - 
       (34742089*s[19])/11664 - (3956829619*s[20])/128304 - 
       (2691208565*s[21])/256608 + (2195770789*s[22])/256608 + 
       (17710447*s[23])/792 + (141961280*s[24])/8019 - 
       (27420176683*s[25])/1154736 + (13852293751*s[26])/1154736 - 
       (29*s[30])/3 - (155*s[31])/18 + (521*s[32])/36 + (263*s[33])/36 - 
       (331*s[34])/18 - (176*s[35])/3 - (2453*s[36])/18 + (41195*s[37])/216 + 
       (4505*s[38])/6 - (5927*s[39])/2 + (54241*s[40])/18 - 
       (83113*s[41])/36 + (627023*s[42])/144 + (379771*s[43])/198 - 
       (1857331*s[44])/792 + (8511361*s[45])/4752 - (80150215*s[46])/4752 + 
       (3943957*s[47])/2376 - (3208133*s[48])/2376 - (46992179*s[49])/4752 + 
       (1327355*s[50])/99 + (14284703*s[51])/4752 + (5372387*s[52])/2376 - 
       (130099181*s[53])/14256 - (947143*s[54])/1188 - 
       (263394049*s[55])/4752 - (178547599*s[56])/14256 + 
       (1037926327*s[57])/42768 - (3664639223*s[58])/128304 + 
       (1884260281*s[59])/64152 + (1946827325*s[60])/14256 - 
       (13909685377*s[61])/2309472 - (7*s[65])/3 - (28*s[66])/3 + 14*s[67] + 
       (413*s[68])/18 - (19*s[69])/2 + (19*s[70])/6 + (79*s[71])/6 + 
       (71*s[72])/3 + (148*s[73])/3 - (343*s[74])/12 + (343*s[75])/12 + 
       (92*s[76])/9 + (161*s[77])/6 - (43*s[78])/6 + (55*s[79])/9 + 
       (14477*s[80])/108 - (85*s[82])/3 - 12*s[83] + 72*s[84] - 
       (182*s[85])/3)*\[Zeta][2] + HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*
      ((-81*s[2])/4 + (125*s[3])/24 - (3163*s[4])/12 - (1583*s[5])/11 - 
       (157781*s[6])/264 - (44392285*s[7])/9504 + (1061261*s[8])/3564 + 
       (5067871*s[9])/1296 + (226123*s[10])/162 + (48516263*s[11])/9504 + 
       (26139359*s[12])/4752 + (31275829*s[13])/9504 + (9433067*s[14])/9504 + 
       (5386469*s[15])/864 + (18945835*s[16])/2376 + (20193001*s[17])/3168 + 
       (1600081*s[18])/1944 + (742957*s[19])/972 + (204131603*s[20])/21384 + 
       (292509149*s[21])/85536 - (208356109*s[22])/85536 - 
       (2543273*s[23])/594 - (228966275*s[24])/42768 + 
       (4901741765*s[25])/769824 - (2755269917*s[26])/769824 - 
       (35*s[30])/12 - (25*s[31])/6 + (25*s[32])/6 + (109*s[33])/48 - 
       (53*s[34])/12 - (40*s[35])/3 - (58*s[36])/9 + (221*s[37])/72 - 
       (1601*s[38])/12 + (5259*s[39])/16 - (64931*s[40])/144 + 
       (6081*s[41])/16 - (53509*s[42])/144 - (91175*s[43])/144 + 
       (135103*s[44])/288 - (35623*s[45])/36 + (277627*s[46])/48 + 
       (180997*s[47])/864 - (643517*s[48])/864 + (2086307*s[49])/864 - 
       (317803*s[50])/72 - (232819*s[51])/864 - (220093*s[52])/864 + 
       (151529*s[53])/48 - (280*s[54])/3 + (2073029*s[55])/96 + 
       (5154337*s[56])/864 + (601445*s[57])/648 + (58685423*s[58])/7776 - 
       (60557729*s[59])/7776 - (261677165*s[60])/5184 + 
       (201314081*s[61])/69984 - (29*s[65])/12 - (29*s[66])/3 + 
       (44*s[67])/3 + 10*s[68] + (47*s[69])/3 + (2*s[70])/3 + (59*s[71])/12 + 
       (29*s[72])/3 + (38*s[73])/3 - (15*s[74])/2 + (15*s[75])/2 + 25*s[76] + 
       (5*s[77])/3 + s[78]/6 - (332*s[79])/3 + (1007*s[80])/36 - 246*s[82] - 
       (7*s[83])/4 - (83*s[84])/2 - 56*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*Omega2[w, u, v]*(36*s[2] - (218*s[3])/3 - (206*s[4])/3 - 
       (10123*s[5])/33 - (7047*s[6])/11 - (1785383*s[7])/594 + 
       (281492*s[8])/891 + (214303*s[9])/81 + (19049*s[10])/81 + 
       (1976279*s[11])/594 + (1160519*s[12])/297 + (470233*s[13])/198 + 
       (545249*s[14])/594 + (54173*s[15])/18 + (144361*s[16])/33 + 
       (1639255*s[17])/594 + (332516*s[18])/243 - (195746*s[19])/243 + 
       (16786834*s[20])/2673 + (16016315*s[21])/5346 - (8344885*s[22])/5346 - 
       (638701*s[23])/99 - (4541810*s[24])/2673 + (188826137*s[25])/48114 - 
       (136149857*s[26])/48114 + (4*s[31])/3 - (38*s[32])/3 - (2*s[33])/3 - 
       (4*s[34])/3 + 12*s[35] - (40*s[36])/3 - (436*s[37])/9 - 100*s[38] + 
       779*s[39] - 815*s[40] + (1549*s[41])/3 - (4063*s[42])/3 - 
       (2395*s[43])/33 + (13336*s[44])/33 + (2126*s[45])/99 + 
       (180361*s[46])/99 - (32482*s[47])/33 + (35465*s[48])/33 + 
       (2518*s[49])/11 - (19222*s[50])/33 - (107095*s[51])/99 - 
       (32971*s[52])/33 + (90917*s[53])/297 - (193544*s[54])/99 + 
       (62209*s[55])/99 + (778594*s[56])/297 - (14868475*s[57])/891 + 
       (19749776*s[58])/2673 - (15199601*s[59])/2673 - (1051492*s[60])/297 + 
       (56372587*s[61])/48114 + 4*s[65] + 16*s[66] - 24*s[67] - 
       (76*s[68])/3 - 8*s[69] - 4*s[71] - 24*s[72] - 48*s[73] + 18*s[74] - 
       18*s[75] - (116*s[76])/3 - 4*s[77] - (16*s[79])/3 + (412*s[80])/9 + 
       432*s[82] - 48*s[85])*\[Zeta][2] + HPL[{1}, 1 - w]*Omega2[u, v, w]*
      (39*s[2] - (158*s[3])/3 + (160*s[4])/3 - (17873*s[5])/66 - 
       (5824*s[6])/11 - (787697*s[7])/594 + (178742*s[8])/891 + 
       (205787*s[9])/162 - (30610*s[10])/81 + (1788613*s[11])/1188 + 
       (2393681*s[12])/1188 + (248723*s[13])/198 + (472721*s[14])/594 + 
       (4124*s[15])/9 + (265843*s[16])/198 + (201317*s[17])/1188 + 
       (609157*s[18])/486 - (343151*s[19])/243 + (15864623*s[20])/5346 + 
       (10577033*s[21])/5346 - (3734911*s[22])/5346 - (2182745*s[23])/396 + 
       (6362203*s[24])/10692 + (36972739*s[25])/24057 - 
       (40311838*s[26])/24057 + (10*s[31])/3 - (35*s[32])/3 + (7*s[33])/3 - 
       (10*s[34])/3 + 12*s[35] - (28*s[36])/3 - (496*s[37])/9 - 48*s[38] + 
       681*s[39] - 729*s[40] + (1279*s[41])/3 - (3775*s[42])/3 + 
       (1607*s[43])/33 + (10081*s[44])/33 + (13883*s[45])/99 + 
       (91276*s[46])/99 - (11105*s[47])/11 + (12666*s[48])/11 - 
       (14521*s[49])/33 + (9836*s[50])/33 - (100162*s[51])/99 - 
       (32246*s[52])/33 - (78532*s[53])/297 - (224462*s[54])/99 - 
       (301736*s[55])/99 + (657361*s[56])/297 - (15791701*s[57])/891 + 
       (17634086*s[58])/2673 - (12315464*s[59])/2673 + (1649948*s[60])/297 + 
       (21824993*s[61])/24057 + 4*s[65] + 16*s[66] - 24*s[67] - 
       (76*s[68])/3 - 8*s[69] - 4*s[71] - 24*s[72] - 48*s[73] + 18*s[74] - 
       18*s[75] - (140*s[76])/3 - 4*s[77] - (16*s[79])/3 + (472*s[80])/9 + 
       432*s[82] - 48*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*Omega2[v, w, u]*
      (36*s[2] - (203*s[3])/3 - (53*s[4])/3 - (9148*s[5])/33 - 
       (7049*s[6])/11 - (661624*s[7])/297 + (226766*s[8])/891 + 
       (162478*s[9])/81 - (5374*s[10])/81 + (734296*s[11])/297 + 
       (897362*s[12])/297 + (59779*s[13])/33 + (299896*s[14])/297 + 
       (5416*s[15])/3 + (294724*s[16])/99 + (473303*s[17])/297 + 
       (334976*s[18])/243 - (283868*s[19])/243 + (12989767*s[20])/2673 + 
       (6823750*s[21])/2673 - (3073199*s[22])/2673 - (200887*s[23])/33 - 
       (1377584*s[24])/2673 + (133171409*s[25])/48114 - 
       (110844155*s[26])/48114 - 4*s[30] + (4*s[31])/3 - (38*s[32])/3 - 
       (2*s[33])/3 - (4*s[34])/3 + 6*s[35] - 29*s[36] - (370*s[37])/9 - 
       42*s[38] + (2791*s[39])/4 - (9049*s[40])/12 + (5713*s[41])/12 - 
       (5155*s[42])/4 + (1663*s[43])/44 + (30479*s[44])/88 + 
       (25039*s[45])/198 + (476629*s[46])/396 - (787181*s[47])/792 + 
       (873709*s[48])/792 - (231817*s[49])/792 - (208*s[50])/11 - 
       (279065*s[51])/264 - (759895*s[52])/792 - (85939*s[53])/1188 - 
       (223151*s[54])/99 - (1454701*s[55])/792 + (5776079*s[56])/2376 - 
       (30513335*s[57])/1782 + (143576221*s[58])/21384 - 
       (101799067*s[59])/21384 + (4488673*s[60])/1584 + 
       (202995235*s[61])/192456 + 4*s[65] + 16*s[66] - 24*s[67] - 
       (70*s[68])/3 - 10*s[69] - 4*s[71] - 24*s[72] - 48*s[73] + 18*s[74] - 
       18*s[75] - (116*s[76])/3 - 2*s[77] - 2*s[78] - (100*s[79])/3 + 
       (670*s[80])/9 + 432*s[82] - 48*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      (s[2] + (34*s[3])/3 - (769*s[4])/8 - (7247*s[5])/88 - (19181*s[6])/88 - 
       (4964701*s[7])/2376 + (530209*s[8])/3564 + (1151137*s[9])/648 + 
       (53443*s[10])/81 + (11105243*s[11])/4752 + (12062491*s[12])/4752 + 
       (1248385*s[13])/792 + (690469*s[14])/2376 + (99865*s[15])/36 + 
       (1415863*s[16])/396 + (13177303*s[17])/4752 + (69916*s[18])/243 + 
       (880201*s[19])/1944 + (22409839*s[20])/5346 + (3981632*s[21])/2673 - 
       (11938471*s[22])/10692 - (2530177*s[23])/1584 - 
       (109039939*s[24])/42768 + (566869969*s[25])/192456 - 
       (303921973*s[26])/192456 + 3*s[30] + (5*s[31])/3 + (17*s[32])/6 + 
       (8*s[33])/3 - (14*s[34])/3 - s[35] + (139*s[36])/12 - (659*s[37])/36 - 
       (629*s[38])/6 + (10415*s[39])/48 - (12323*s[40])/48 + 
       (7739*s[41])/48 - (3757*s[42])/16 - (189997*s[43])/528 + 
       (289811*s[44])/1056 - (481951*s[45])/792 + (5196575*s[46])/1584 + 
       (312929*s[47])/3168 - (1242097*s[48])/3168 + (4578109*s[49])/3168 - 
       (329645*s[50])/132 - (153907*s[51])/1056 - (478097*s[52])/3168 + 
       (8289703*s[53])/4752 + (127529*s[54])/396 + (37764809*s[55])/3168 + 
       (29700133*s[56])/9504 - (2736223*s[57])/7128 + 
       (395808311*s[58])/85536 - (401362265*s[59])/85536 - 
       (182440421*s[60])/6336 + (1232462201*s[61])/769824 - s[65] - 4*s[66] + 
       6*s[67] + (13*s[68])/6 + (67*s[69])/6 - 3*s[70] + 2*s[71] + 4*s[72] - 
       7*s[73] - 3*s[74] + 3*s[75] + (5*s[76])/3 - s[77]/6 + (5*s[78])/2 - 
       (23*s[79])/3 - (275*s[80])/18 - 237*s[82] - 12*s[84] - 48*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      ((-241*s[2])/12 + (45*s[3])/4 - (3599*s[4])/24 - (5733*s[5])/88 - 
       (85787*s[6])/264 - (12179377*s[7])/4752 + (1020331*s[8])/7128 + 
       (1371497*s[9])/648 + (275483*s[10])/324 + (1672277*s[11])/594 + 
       (14306885*s[12])/4752 + (2859317*s[13])/1584 + (2869297*s[14])/4752 + 
       (508339*s[15])/144 + (600971*s[16])/132 + (8991853*s[17])/2376 + 
       (680083*s[18])/1944 + (1149881*s[19])/1944 + (56277703*s[20])/10692 + 
       (76349947*s[21])/42768 - (57299603*s[22])/42768 - 
       (3002911*s[23])/1584 - (135686015*s[24])/42768 + 
       (674878649*s[25])/192456 - (361092443*s[26])/192456 - (5*s[30])/3 - 
       (17*s[31])/6 + (47*s[32])/12 - (31*s[33])/12 - (5*s[34])/2 - 
       (77*s[35])/6 - (214*s[36])/9 + (545*s[37])/36 - (79*s[38])/2 + 
       155*s[39] - (4363*s[40])/18 + (2525*s[41])/12 - (1867*s[42])/9 - 
       (12035*s[43])/36 + (20551*s[44])/72 - (15539*s[45])/36 + 
       (52139*s[46])/18 + (66413*s[47])/432 - (220339*s[48])/432 + 
       (637705*s[49])/432 - (171457*s[50])/72 - (30923*s[51])/432 - 
       (5653*s[52])/216 + (359569*s[53])/216 + (14147*s[54])/72 + 
       (527795*s[55])/48 + (44343*s[56])/16 + (233605*s[57])/216 + 
       (4422079*s[58])/1296 - (4836505*s[59])/1296 - (67927825*s[60])/2592 + 
       (115207*s[61])/81 - s[65] - 4*s[66] + 6*s[67] + (23*s[68])/3 + 
       (2*s[69])/3 - s[70] + (3*s[71])/2 + 4*s[72] + 18*s[73] - 
       (17*s[74])/3 + (17*s[75])/3 + 9*s[76] + (19*s[77])/3 - (7*s[78])/3 - 
       89*s[79] + (977*s[80])/18 - 237*s[82] - 12*s[84] - 48*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*
      (13*s[2] - 4*s[3] + (157*s[4])/6 - (22855*s[5])/132 - (21865*s[6])/88 - 
       (204581*s[7])/264 + (223295*s[8])/2376 + (171115*s[9])/216 - 
       (6392*s[10])/27 + (1456127*s[11])/1584 + (1956673*s[12])/1584 + 
       (76679*s[13])/99 + (141227*s[14])/396 + (18493*s[15])/72 + 
       (298505*s[16])/396 + (23447*s[17])/1584 + (447401*s[18])/648 - 
       (497453*s[19])/648 + (5906447*s[20])/3564 + (2028745*s[21])/1782 - 
       (3100211*s[22])/7128 - (5235715*s[23])/1584 + (3978437*s[24])/14256 + 
       (120912851*s[25])/128304 - (122668031*s[26])/128304 - 5*s[32] - 
       67*s[37] - (197*s[38])/3 + (711*s[39])/4 - (695*s[40])/4 + 
       (89*s[41])/3 - (1625*s[42])/6 + (4421*s[43])/132 - (4157*s[44])/264 - 
       (14679*s[45])/44 + (40801*s[46])/33 - (321433*s[47])/792 + 
       (338633*s[48])/792 - (486821*s[49])/792 - (2642*s[50])/11 - 
       (25791*s[51])/88 - (297773*s[52])/792 + (27085*s[53])/99 - 
       (23055*s[54])/22 + (635089*s[55])/264 + (232247*s[56])/88 - 
       (252209*s[57])/33 + (10613303*s[58])/2376 - (8015465*s[59])/2376 - 
       (21288565*s[60])/4752 + (24884071*s[61])/21384 - 14*s[68] + 22*s[69] - 
       24*s[73] - 14*s[77] + 52*s[82] - 40*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - u]*(-6*s[2] - (67*s[3])/2 - 
       (351*s[4])/4 - (9943*s[5])/132 - (136573*s[6])/264 - 
       (435425*s[7])/264 + (232355*s[8])/2376 + (292429*s[9])/216 + 
       (28129*s[10])/108 + (3072473*s[11])/1584 + (3568141*s[12])/1584 + 
       (1168279*s[13])/792 + (543967*s[14])/792 + (110359*s[15])/72 + 
       (2064871*s[16])/792 + (2807873*s[17])/1584 + (373373*s[18])/648 - 
       (119549*s[19])/648 + (2971493*s[20])/891 + (9849211*s[21])/7128 - 
       (743305*s[22])/891 - (3871069*s[23])/1584 - (20412025*s[24])/14256 + 
       (302026697*s[25])/128304 - (193577381*s[26])/128304 + 6*s[30] - 
       6*s[34] - 12*s[35] - 32*s[36] + (41*s[37])/6 - 19*s[38] + 
       (2855*s[39])/12 - (3959*s[40])/12 + (1495*s[41])/6 - (1151*s[42])/3 - 
       (31969*s[43])/132 + (5503*s[44])/22 - (8968*s[45])/33 + 
       (94993*s[46])/44 - (45455*s[47])/396 - (34129*s[48])/198 + 
       (143923*s[49])/198 - (43270*s[50])/33 - (43223*s[51])/132 - 
       (108745*s[52])/396 + (90946*s[53])/99 - (18257*s[54])/22 + 
       (2271925*s[55])/396 + (119103*s[56])/44 - (845203*s[57])/198 + 
       (4873529*s[58])/1188 - (4162823*s[59])/1188 - (36401141*s[60])/2376 + 
       (1191277*s[61])/891 + 3*s[71] - 3*s[74] + 3*s[75] + 4*s[77] - 
       6*s[78] - 60*s[79] + 59*s[80] + 52*s[82] - 40*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      ((-79*s[2])/12 - (427*s[3])/24 - (4309*s[4])/12 - (22117*s[5])/66 - 
       (380035*s[6])/528 - (21698245*s[7])/3168 + (2530439*s[8])/4752 + 
       (1254107*s[9])/216 + (209015*s[10])/108 + (11691667*s[11])/1584 + 
       (24981883*s[12])/3168 + (14694601*s[13])/3168 + (3624791*s[14])/3168 + 
       (2715353*s[15])/288 + (18479117*s[16])/1584 + (4977773*s[17])/528 + 
       (1651859*s[18])/1296 + (1361761*s[19])/1296 + (99325265*s[20])/7128 + 
       (145462913*s[21])/28512 - (102266995*s[22])/28512 - 
       (23006597*s[23])/3168 - (214542055*s[24])/28512 + 
       (297016675*s[25])/32076 - (334333031*s[26])/64152 - s[30]/12 - 
       (11*s[31])/6 + (2*s[32])/3 - s[33]/16 + (5*s[34])/4 + (4*s[35])/3 + 
       (151*s[36])/12 - (145*s[37])/12 - (590*s[38])/3 + (3339*s[39])/4 - 
       (2822*s[40])/3 + (17821*s[41])/24 - 1221*s[42] - (50519*s[43])/66 + 
       (68883*s[44])/88 - (524693*s[45])/528 + (3875495*s[46])/528 - 
       (149483*s[47])/528 - (19409*s[48])/176 + (114442*s[49])/33 - 
       (759787*s[50])/132 - (29162*s[51])/33 - (85433*s[52])/132 + 
       (6470993*s[53])/1584 - (27871*s[54])/264 + (41035627*s[55])/1584 + 
       (5261903*s[56])/792 - (11017607*s[57])/2376 + (155676665*s[58])/
        14256 - (79780753*s[59])/7128 - (63886985*s[60])/1056 + 
       (847811809*s[61])/256608 - s[70]/2 + s[71]/2 - 3*s[72] + 
       (41*s[74])/12 - (41*s[75])/12 + (10*s[76])/3 + (4*s[77])/3 - 
       (5*s[78])/2 - 77*s[79] + (56*s[80])/3 - (439*s[82])/3 - 36*s[84] - 
       40*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*(-3*s[2] - (185*s[3])/6 - (1393*s[4])/24 - 
       (28165*s[5])/176 - (28981*s[6])/132 - (218923*s[7])/99 + 
       (134617*s[8])/1188 + (51260*s[9])/27 + (340669*s[10])/432 + 
       (7232935*s[11])/3168 + (7046843*s[12])/3168 + (239585*s[13])/198 + 
       (1081277*s[14])/1584 + (497917*s[15])/144 + (6377293*s[16])/1584 + 
       (1315107*s[17])/352 + (259901*s[18])/648 + (591737*s[19])/1296 + 
       (70039919*s[20])/14256 + (26691119*s[21])/14256 - 
       (8126597*s[22])/7128 - (4861123*s[23])/3168 - (76257695*s[24])/28512 + 
       (348008843*s[25])/128304 - (107320033*s[26])/64152 + 2*s[30] - 
       s[32]/12 - (3*s[33])/2 - s[34] - 7*s[35] + (26*s[36])/3 + 12*s[37] - 
       (487*s[38])/12 + (7159*s[39])/48 - (2621*s[40])/16 + (6433*s[41])/48 - 
       (9779*s[42])/48 - (120653*s[43])/528 + (181285*s[44])/1056 - 
       (207733*s[45])/528 + (604349*s[46])/264 + (49*s[47])/352 - 
       (159155*s[48])/1056 + (1059035*s[49])/1056 - (61514*s[50])/33 - 
       (508097*s[51])/3168 - (72517*s[52])/1056 + (1144987*s[53])/792 + 
       (12079*s[54])/66 + (29279365*s[55])/3168 + (6489179*s[56])/3168 + 
       (2689399*s[57])/2376 + (76332079*s[58])/28512 - 
       (86425543*s[59])/28512 - (14132163*s[60])/704 + (8998637*s[61])/8019 - 
       s[68]/6 + s[69]/6 + s[71] - s[74]/2 + s[75]/2 + 2*s[76] - s[77]/6 + 
       24*s[79] - (43*s[80])/3 - (911*s[82])/6 - 12*s[84] - 38*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      ((55*s[2])/6 - (1489*s[3])/24 - (8855*s[4])/48 - (10849*s[5])/48 - 
       (20977*s[6])/48 - (3470153*s[7])/864 + (376151*s[8])/1296 + 
       (1109717*s[9])/324 + (1550983*s[10])/1296 + (926483*s[11])/216 + 
       (3905851*s[12])/864 + (747967*s[13])/288 + (769283*s[14])/864 + 
       (1614041*s[15])/288 + (20792*s[16])/3 + (2476727*s[17])/432 + 
       (3366763*s[18])/3888 + (2094647*s[19])/3888 + (33084973*s[20])/3888 + 
       (24724721*s[21])/7776 - (16242127*s[22])/7776 - (1208693*s[23])/288 - 
       (33651949*s[24])/7776 + (92335859*s[25])/17496 - 
       (108184399*s[26])/34992 - (7*s[30])/6 - (5*s[32])/2 + (5*s[33])/2 + 
       (19*s[34])/6 + (5*s[35])/3 + (187*s[36])/18 - (71*s[37])/36 - 
       (345*s[38])/4 + (16949*s[39])/48 - (57887*s[40])/144 + 
       (14755*s[41])/48 - (73243*s[42])/144 - (573877*s[43])/1584 + 
       (1156877*s[44])/3168 - (898343*s[45])/1584 + (123632*s[46])/33 - 
       (1033387*s[47])/9504 - (1251253*s[48])/9504 + (15642955*s[49])/9504 - 
       (295465*s[50])/99 - (3906695*s[51])/9504 - (2420615*s[52])/9504 + 
       (842189*s[53])/396 + (9169*s[54])/88 + (43241875*s[55])/3168 + 
       (32161865*s[56])/9504 - (2084933*s[57])/1782 + 
       (451440421*s[58])/85536 - (463058017*s[59])/85536 - 
       (1802728759*s[60])/57024 + (84896455*s[61])/48114 - (7*s[68])/6 + 
       (13*s[69])/6 + s[71] - 2*s[72] - 7*s[73] + (19*s[74])/12 - 
       (19*s[75])/12 + s[76]/3 - s[77]/6 - (7*s[78])/3 - (58*s[79])/3 - 
       (52*s[80])/9 - (911*s[82])/6 - 12*s[84] - 38*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*((-79*s[2])/12 - (83*s[3])/8 - 
       (703*s[4])/2 - (34157*s[5])/132 - (117451*s[6])/176 - 
       (18696929*s[7])/3168 + (2258765*s[8])/4752 + (134629*s[9])/27 + 
       (168227*s[10])/108 + (5132933*s[11])/792 + (22432489*s[12])/3168 + 
       (4502423*s[13])/1056 + (2507567*s[14])/3168 + (2250893*s[15])/288 + 
       (1750475*s[16])/176 + (6068203*s[17])/792 + (1415189*s[18])/1296 + 
       (1100119*s[19])/1296 + (10473436*s[20])/891 + (121651205*s[21])/
        28512 - (88524715*s[22])/28512 - (7146493*s[23])/1056 - 
       (182998117*s[24])/28512 + (1056934561*s[25])/128304 - 
       (582572623*s[26])/128304 - (7*s[30])/12 - (17*s[31])/6 + (7*s[32])/6 - 
       (37*s[33])/16 + (15*s[34])/4 + (5*s[35])/6 + (53*s[36])/4 - 
       (29*s[37])/2 - (2393*s[38])/12 + (6505*s[39])/8 - (22007*s[40])/24 + 
       (1439*s[41])/2 - (28199*s[42])/24 - (64435*s[43])/88 + 
       (407035*s[44])/528 - (151127*s[45])/176 + (3502421*s[46])/528 - 
       (196253*s[47])/792 - (59995*s[48])/396 + (5253799*s[49])/1584 - 
       (672707*s[50])/132 - (1267667*s[51])/1584 - (1034171*s[52])/1584 + 
       (5593207*s[53])/1584 - (36167*s[54])/264 + (2968693*s[55])/132 + 
       (9498847*s[56])/1584 - (13504211*s[57])/2376 + (73286281*s[58])/7128 - 
       (148177181*s[59])/14256 - (258589013*s[60])/4752 + 
       (751075339*s[61])/256608 + s[70]/2 + s[71]/2 - 3*s[72] + 
       (11*s[74])/3 - (11*s[75])/3 + (13*s[76])/3 + (5*s[77])/6 - 
       (7*s[78])/2 - 79*s[79] + (109*s[80])/6 - (229*s[82])/2 - 36*s[84] - 
       34*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*
      ((-47*s[2])/6 - (39*s[3])/4 - (16729*s[4])/48 - (9113*s[5])/33 - 
       (59167*s[6])/88 - (1072791*s[7])/176 + (1151143*s[8])/2376 + 
       (1114541*s[9])/216 + (177395*s[10])/108 + (21132803*s[11])/3168 + 
       (23004067*s[12])/3168 + (429655*s[13])/99 + (685961*s[14])/792 + 
       (585175*s[15])/72 + (1019146*s[16])/99 + (25330577*s[17])/3168 + 
       (1483697*s[18])/1296 + (142241*s[19])/162 + (174333877*s[20])/14256 + 
       (15889465*s[21])/3564 - (45722807*s[22])/14256 - 
       (21802027*s[23])/3168 - (189308389*s[24])/28512 + 
       (541379327*s[25])/64152 - (300346835*s[26])/64152 - s[30]/12 - 
       (17*s[31])/6 + (7*s[32])/6 - (25*s[33])/16 + (13*s[34])/4 + 
       (5*s[35])/6 + (38*s[36])/3 - (73*s[37])/4 - 199*s[38] + 
       (38891*s[39])/48 - (43867*s[40])/48 + (34393*s[41])/48 - 
       (56183*s[42])/48 - (128299*s[43])/176 + (809695*s[44])/1056 - 
       (466813*s[45])/528 + (1779311*s[46])/264 - (793081*s[47])/3168 - 
       (466843*s[48])/3168 + (10484461*s[49])/3168 - (228605*s[50])/44 - 
       (2544785*s[51])/3168 - (2061641*s[52])/3168 + (714191*s[53])/198 - 
       (11565*s[54])/88 + (72801967*s[55])/3168 + (6447745*s[56])/1056 - 
       (2191397*s[57])/396 + (98790121*s[58])/9504 - (99818581*s[59])/9504 - 
       (1050992125*s[60])/19008 + (4746787*s[61])/1584 + s[71]/2 - 3*s[72] + 
       (41*s[74])/12 - (41*s[75])/12 + (13*s[76])/3 + (5*s[77])/6 - 3*s[78] - 
       78*s[79] + (109*s[80])/6 - (229*s[82])/2 - 36*s[84] - 34*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      (-64*s[2] - 99*s[3] - (5797*s[4])/6 - (126337*s[5])/132 - 
       (42301*s[6])/22 - (22644635*s[7])/1188 + (2115671*s[8])/1782 + 
       (1310147*s[9])/81 + (1904269*s[10])/324 + (49874647*s[11])/2376 + 
       (52868141*s[12])/2376 + (5288347*s[13])/396 + (866108*s[14])/297 + 
       (240044*s[15])/9 + (1463641*s[16])/44 + (64259915*s[17])/2376 + 
       (698197*s[18])/243 + (4028423*s[19])/972 + (414189947*s[20])/10692 + 
       (37473476*s[21])/2673 - (107520145*s[22])/10692 - 
       (12831991*s[23])/792 - (485938025*s[24])/21384 + 
       (2536274057*s[25])/96228 - (347801660*s[26])/24057 + 2*s[30] - 
       (64*s[31])/3 - 3*s[32] - (239*s[33])/6 + (202*s[34])/3 + 16*s[35] + 
       (256*s[36])/3 - (566*s[37])/9 - (2132*s[38])/3 + (26203*s[39])/12 - 
       (28051*s[40])/12 + (21875*s[41])/12 - (32971*s[42])/12 - 
       (105099*s[43])/44 + (197961*s[44])/88 - (1170041*s[45])/396 + 
       (2026037*s[46])/99 - (58187*s[47])/792 - (1017365*s[48])/792 + 
       (9156545*s[49])/792 - (540575*s[50])/33 - (1303301*s[51])/792 - 
       (991189*s[52])/792 + (6757163*s[53])/594 + (435823*s[54])/198 + 
       (19350875*s[55])/264 + (38882737*s[56])/2376 - (4537454*s[57])/891 + 
       (599377121*s[58])/21384 - (642586625*s[59])/21384 - 
       (851667469*s[60])/4752 + (201590980*s[61])/24057 + 20*s[68] - 
       (92*s[69])/3 - 4*s[70] - 2*s[71] + 8*s[72] + 40*s[73] - 4*s[74] + 
       4*s[75] + (212*s[76])/3 + (68*s[77])/3 - 44*s[78] + (16*s[79])/3 - 
       (724*s[80])/9 - 866*s[82] - 32*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((-212*s[2])/3 - (214*s[3])/3 - (311*s[4])/2 + (19399*s[5])/132 - 
       (33991*s[6])/66 - (1963153*s[7])/1188 - (78805*s[8])/891 + 
       (86926*s[9])/81 + (321131*s[10])/324 + (4370537*s[11])/2376 + 
       (3976897*s[12])/2376 + (474073*s[13])/396 + (1061059*s[14])/1188 + 
       (22895*s[15])/9 + (342671*s[16])/99 + (8586409*s[17])/2376 - 
       (193861*s[18])/972 + (267322*s[19])/243 + (17908871*s[20])/5346 + 
       (7734115*s[21])/10692 - (1955990*s[22])/2673 + (1610597*s[23])/792 - 
       (69873295*s[24])/21384 + (111516551*s[25])/48114 - 
       (98213569*s[26])/96228 - (16*s[30])/3 + 20*s[32] - (44*s[34])/3 - 
       (104*s[35])/3 - (578*s[36])/9 + (1490*s[37])/9 + 149*s[38] - 
       (423*s[39])/4 - (3817*s[40])/36 + (1207*s[41])/4 + (2617*s[42])/36 - 
       (169547*s[43])/396 + (307927*s[44])/792 - (6451*s[45])/396 + 
       (40087*s[46])/22 + (1513471*s[47])/2376 - (2956511*s[48])/2376 + 
       (4799225*s[49])/2376 - (200147*s[50])/99 + (262835*s[51])/2376 + 
       (793715*s[52])/2376 + (45193*s[53])/33 + (8189*s[54])/22 + 
       (6229261*s[55])/792 + (1711843*s[56])/2376 + (7680373*s[57])/891 - 
       (22140253*s[58])/21384 - (323495*s[59])/21384 - 
       (297113777*s[60])/14256 + (16001941*s[61])/24057 + (80*s[68])/3 - 
       (152*s[69])/3 + 6*s[71] + 48*s[73] - (22*s[74])/3 + (22*s[75])/3 - 
       (88*s[76])/3 + (128*s[77])/3 + (40*s[78])/3 - (272*s[79])/3 + 
       (1282*s[80])/9 - 226*s[82] - 32*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w]*((35*s[2])/12 - (205*s[3])/6 - 
       (17965*s[4])/48 - (1058*s[5])/3 - (21239*s[6])/24 - (336001*s[7])/48 + 
       (39865*s[8])/72 + (427081*s[9])/72 + (63355*s[10])/36 + 
       (734753*s[11])/96 + (267083*s[12])/32 + (79891*s[13])/16 + 
       (15187*s[14])/12 + (164977*s[15])/18 + (280109*s[16])/24 + 
       (290163*s[17])/32 + (652651*s[18])/432 + (78245*s[19])/108 + 
       (3058313*s[20])/216 + (2324071*s[21])/432 - (1578827*s[22])/432 - 
       (269919*s[23])/32 - (6277117*s[24])/864 + (18586283*s[25])/1944 - 
       (21578455*s[26])/3888 - (19*s[30])/12 - (7*s[31])/6 - (13*s[32])/4 - 
       (17*s[33])/16 + (5*s[34])/12 + (13*s[35])/3 + (43*s[36])/18 - 
       (163*s[37])/6 - (736*s[38])/3 + (3127*s[39])/3 - (20755*s[40])/18 + 
       (21433*s[41])/24 - (223753*s[42])/144 - (82858*s[43])/99 + 
       (2869127*s[44])/3168 - (59603*s[45])/66 + (1496195*s[46])/198 - 
       (4600711*s[47])/9504 + (483665*s[48])/9504 + (34896019*s[49])/9504 - 
       (4450355*s[50])/792 - (10630937*s[51])/9504 - (8697383*s[52])/9504 + 
       (4652111*s[53])/1188 - (562549*s[54])/792 + (25967465*s[55])/1056 + 
       (66640081*s[56])/9504 - (31783373*s[57])/3564 + 
       (1063115531*s[58])/85536 - (1050144065*s[59])/85536 - 
       (3403431721*s[60])/57024 + (2603779019*s[61])/769824 + (13*s[65])/12 + 
       (13*s[66])/3 - (20*s[67])/3 - (22*s[68])/3 - (11*s[69])/3 - 
       (2*s[70])/3 + s[71]/6 - (29*s[72])/3 - 4*s[73] + (31*s[74])/4 - 
       (31*s[75])/4 - 6*s[76] - (2*s[77])/3 - (37*s[78])/6 - 87*s[79] + 
       (241*s[80])/6 + 52*s[82] - s[83]/4 - (69*s[84])/2 - 32*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*
      ((-199*s[2])/12 + (73*s[3])/12 - (10283*s[4])/48 - (35093*s[5])/528 - 
       (104195*s[6])/352 - (28337227*s[7])/9504 + (5912779*s[8])/28512 + 
       (6412727*s[9])/2592 + (596641*s[10])/648 + (62004871*s[11])/19008 + 
       (67072235*s[12])/19008 + (19909333*s[13])/9504 + 
       (3216863*s[14])/9504 + (3550493*s[15])/864 + (48818287*s[16])/9504 + 
       (25726453*s[17])/6336 + (3124489*s[18])/7776 + (5225741*s[19])/7776 + 
       (31529495*s[20])/5346 + (165114407*s[21])/85536 - 
       (66707789*s[22])/42768 - (53623039*s[23])/19008 - 
       (607708643*s[24])/171072 + (6484258945*s[25])/1539648 - 
       (3315454741*s[26])/1539648 - (35*s[30])/12 - (25*s[31])/6 + 
       (55*s[32])/12 + (97*s[33])/48 - (5*s[34])/4 - (31*s[35])/3 - 
       (155*s[36])/36 - (101*s[37])/72 - (1061*s[38])/12 + (913*s[39])/6 - 
       (8341*s[40])/36 + (9359*s[41])/48 - (4607*s[42])/36 - 
       (38750*s[43])/99 + (834247*s[44])/3168 - (577085*s[45])/792 + 
       (339127*s[46])/88 + (2043709*s[47])/9504 - (5169959*s[48])/9504 + 
       (14713829*s[49])/9504 - (2401417*s[50])/792 - (936871*s[51])/9504 - 
       (886687*s[52])/9504 + (3441301*s[53])/1584 + (53071*s[54])/264 + 
       (47822341*s[55])/3168 + (37281397*s[56])/9504 + 
       (27730825*s[57])/14256 + (400179629*s[58])/85536 - 
       (425784935*s[59])/85536 - (1966822205*s[60])/57024 + 
       (1468470869*s[61])/769824 - (29*s[65])/12 - (29*s[66])/3 + 
       (83*s[67])/6 + (32*s[68])/3 + (43*s[69])/3 + s[70]/3 + (47*s[71])/12 + 
       (32*s[72])/3 + (41*s[73])/3 - (19*s[74])/3 + (19*s[75])/3 + 
       (74*s[76])/3 + (10*s[78])/3 - 75*s[79] + (301*s[80])/36 - 238*s[82] - 
       (7*s[83])/4 - (81*s[84])/2 - 30*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*((-119*s[2])/8 - (25*s[3])/48 - 
       (23081*s[4])/96 - (2663*s[5])/264 - (17427*s[6])/44 - 
       (18705323*s[7])/6336 + (16483*s[8])/99 + (686359*s[9])/288 + 
       (72083*s[10])/72 + (35856*s[11])/11 + (7334023*s[12])/2112 + 
       (13812967*s[13])/6336 + (348613*s[14])/704 + (2346445*s[15])/576 + 
       (16538213*s[16])/3168 + (13596889*s[17])/3168 + (215503*s[18])/864 + 
       (183305*s[19])/216 + (54705359*s[20])/9504 + (11163203*s[21])/6336 - 
       (28944583*s[22])/19008 - (12138173*s[23])/6336 - 
       (72949315*s[24])/19008 + (241951649*s[25])/57024 - 
       (119562341*s[26])/57024 - (7*s[30])/3 - (19*s[31])/6 + (20*s[32])/3 - 
       s[33]/16 - (29*s[34])/6 - (191*s[35])/12 - (337*s[36])/36 + 28*s[37] - 
       (199*s[38])/3 + (1743*s[39])/16 - (31691*s[40])/144 + 
       (5239*s[41])/24 - (9655*s[42])/144 - (729037*s[43])/1584 + 
       (958475*s[44])/3168 - (111615*s[45])/176 + (1451617*s[46])/396 + 
       (3321899*s[47])/9504 - (7554703*s[48])/9504 + (17228569*s[49])/9504 - 
       (2357807*s[50])/792 - (217973*s[51])/9504 - (97001*s[52])/9504 + 
       (4976461*s[53])/2376 + (26773*s[54])/99 + (15267103*s[55])/1056 + 
       (33821593*s[56])/9504 + (24659441*s[57])/7128 + 
       (324873419*s[58])/85536 - (366128861*s[59])/85536 - 
       (1965864187*s[60])/57024 + (1309270631*s[61])/769824 - (29*s[65])/12 - 
       (29*s[66])/3 + (83*s[67])/6 + (44*s[68])/3 + 9*s[69] + (5*s[70])/6 + 
       (59*s[71])/12 + (59*s[72])/6 + (45*s[73])/2 - (61*s[74])/8 + 
       (61*s[75])/8 + 24*s[76] + (61*s[77])/12 + s[78]/3 - 116*s[79] + 
       (95*s[80])/3 - 238*s[82] - (7*s[83])/4 - (81*s[84])/2 - 30*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v]*
      ((-163*s[2])/2 + (3083*s[3])/72 + (43879*s[4])/144 + (2221*s[5])/36 - 
       (859*s[6])/16 + (4528385*s[7])/2592 - (2230475*s[8])/3888 - 
       (732109*s[9])/486 + (154237*s[10])/486 - (2418931*s[11])/1296 - 
       (3452015*s[12])/1296 - (36823*s[13])/24 + (1455791*s[14])/1296 - 
       (483659*s[15])/288 - (1613915*s[16])/864 + (39565*s[17])/324 - 
       (4134509*s[18])/5832 + (6193543*s[19])/11664 - 
       (29878723*s[20])/11664 - (525208*s[21])/729 + (2640089*s[22])/2916 + 
       (2002105*s[23])/288 + (9304249*s[24])/23328 - (638241629*s[25])/
        209952 + (284388935*s[26])/209952 + (47*s[30])/3 - (95*s[31])/9 + 
       (715*s[32])/36 - (2*s[33])/9 + (397*s[34])/18 - (13*s[35])/3 + 
       (70*s[36])/9 + (17389*s[37])/216 + (2089*s[38])/12 - (4097*s[39])/4 + 
       (35425*s[40])/36 - (52693*s[41])/72 + (125465*s[42])/72 + 
       (20269*s[43])/396 - (689263*s[44])/1584 - (700903*s[45])/4752 - 
       (8732351*s[46])/4752 + (6263131*s[47])/4752 - (8524037*s[48])/4752 - 
       (2429533*s[49])/4752 + (113452*s[50])/99 + (6963145*s[51])/4752 + 
       (5455943*s[52])/4752 - (4411889*s[53])/7128 + (3142349*s[54])/2376 - 
       (2608109*s[55])/1188 - (18480731*s[56])/14256 + 
       (689322809*s[57])/42768 - (222813469*s[58])/32076 + 
       (370205705*s[59])/64152 + (71413921*s[60])/14256 - 
       (274598645*s[61])/577368 - (2*s[65])/3 - (8*s[66])/3 + 8*s[67] + 
       (254*s[68])/9 - 34*s[69] - (29*s[70])/3 + (31*s[71])/12 + 
       (82*s[72])/3 + (254*s[73])/3 - (329*s[74])/12 + (329*s[75])/12 + 
       (361*s[76])/9 + (107*s[77])/3 - (139*s[78])/3 + (437*s[79])/9 + 
       (2401*s[80])/108 - (2144*s[82])/3 - 12*s[83] + 72*s[84] - 
       (88*s[85])/3)*\[Zeta][2] + Nt[u, v, w]*(18*s[2] - (109*s[3])/3 - 
       (103*s[4])/3 - (10123*s[5])/66 - (7047*s[6])/22 - 
       (1785383*s[7])/1188 + (140746*s[8])/891 + (214303*s[9])/162 + 
       (19049*s[10])/162 + (1976279*s[11])/1188 + (1160519*s[12])/594 + 
       (470233*s[13])/396 + (545249*s[14])/1188 + (54173*s[15])/36 + 
       (144361*s[16])/66 + (1639255*s[17])/1188 + (166258*s[18])/243 - 
       (97873*s[19])/243 + (8393417*s[20])/2673 + (16016315*s[21])/10692 - 
       (8344885*s[22])/10692 - (638701*s[23])/198 - (2270905*s[24])/2673 + 
       (188826137*s[25])/96228 - (136149857*s[26])/96228 + (2*s[31])/3 - 
       (19*s[32])/3 - s[33]/3 - (2*s[34])/3 + 6*s[35] - (20*s[36])/3 - 
       (218*s[37])/9 - 50*s[38] + (779*s[39])/2 - (815*s[40])/2 + 
       (1549*s[41])/6 - (4063*s[42])/6 - (2395*s[43])/66 + (6668*s[44])/33 + 
       (1063*s[45])/99 + (180361*s[46])/198 - (16241*s[47])/33 + 
       (35465*s[48])/66 + (1259*s[49])/11 - (9611*s[50])/33 - 
       (107095*s[51])/198 - (32971*s[52])/66 + (90917*s[53])/594 - 
       (96772*s[54])/99 + (62209*s[55])/198 + (389297*s[56])/297 - 
       (14868475*s[57])/1782 + (9874888*s[58])/2673 - (15199601*s[59])/5346 - 
       (525746*s[60])/297 + (56372587*s[61])/96228 + 2*s[65] + 8*s[66] - 
       12*s[67] - (38*s[68])/3 - 4*s[69] - 2*s[71] - 12*s[72] - 24*s[73] + 
       9*s[74] - 9*s[75] - (58*s[76])/3 - 2*s[77] - (8*s[79])/3 + 
       (206*s[80])/9 + 216*s[82] - 24*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*(-84*s[2] + (139*s[3])/6 + 
       (799*s[4])/6 + (478201*s[5])/528 + (228193*s[6])/352 + 
       (80325527*s[7])/9504 - (26674957*s[8])/28512 - (19901993*s[9])/2592 - 
       (541895*s[10])/324 - (169030921*s[11])/19008 - 
       (184279499*s[12])/19008 - (8388305*s[13])/1584 - 
       (3894185*s[14])/2376 - (3236435*s[15])/288 - (2379539*s[16])/176 - 
       (194617193*s[17])/19008 - (21626827*s[18])/7776 + 
       (3597727*s[19])/7776 - (786406285*s[20])/42768 - 
       (341852725*s[21])/42768 + (389938579*s[22])/85536 + 
       (87320923*s[23])/6336 + (1186936001*s[24])/171072 - 
       (16280670205*s[25])/1539648 + (10879867585*s[26])/1539648 + 6*s[29] - 
       11*s[30] - (46*s[31])/3 + (98*s[32])/3 + (73*s[33])/6 - (14*s[34])/3 - 
       90*s[35] - 47*s[36] + (1721*s[37])/18 + 347*s[38] - (41329*s[39])/16 + 
       (121123*s[40])/48 - (11129*s[41])/6 + (35331*s[42])/8 + 
       (78075*s[43])/176 - (557587*s[44])/352 - (1089845*s[45])/1584 - 
       (3857009*s[46])/792 + (8593061*s[47])/3168 - (10654585*s[48])/3168 - 
       (11841215*s[49])/3168 + (160109*s[50])/44 + (3503201*s[51])/1056 + 
       (7559503*s[52])/3168 - (1226575*s[53])/594 + (397387*s[54])/198 - 
       (18211415*s[55])/3168 - (18976745*s[56])/9504 + 
       (259530995*s[57])/7128 - (1346068483*s[58])/85536 + 
       (1207831993*s[59])/85536 + (43097537*s[60])/2112 - 
       (810486841*s[61])/769824 - 4*s[63] - 13*s[65] - 53*s[66] + 76*s[67] + 
       (220*s[68])/3 + 61*s[69] + 6*s[70] + 23*s[71] + 80*s[72] + 116*s[73] - 
       67*s[74] + 67*s[75] + (416*s[76])/3 + 13*s[77] - 18*s[78] - 
       (284*s[79])/3 - (247*s[80])/9 - 1125*s[82] - 9*s[83] + 18*s[84] - 
       24*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u]*
      (-106*s[2] + (551*s[3])/12 + (9373*s[4])/24 + (488533*s[5])/528 + 
       (364453*s[6])/352 + (25819679*s[7])/2376 - (34539103*s[8])/28512 - 
       (24784979*s[9])/2592 - (2759969*s[10])/1296 - (222588265*s[11])/
        19008 - (247595399*s[12])/19008 - (4007725*s[13])/528 - 
       (873887*s[14])/594 - (221827*s[15])/16 - (55174685*s[16])/3168 - 
       (241730813*s[17])/19008 - (24106327*s[18])/7776 + 
       (637213*s[19])/7776 - (953456023*s[20])/42768 - 
       (398695069*s[21])/42768 + (496506193*s[22])/85536 + 
       (37054771*s[23])/2112 + (1609104311*s[24])/171072 - 
       (22295380015*s[25])/1539648 + (13824237403*s[26])/1539648 - 9*s[30] - 
       (52*s[31])/3 + (187*s[32])/6 + (31*s[33])/6 - (11*s[34])/3 - 
       88*s[35] - 82*s[36] + (2345*s[37])/18 + 500*s[38] - (48297*s[39])/16 + 
       (142699*s[40])/48 - (6523*s[41])/3 + (39929*s[42])/8 + 
       (143983*s[43])/176 - (168565*s[44])/88 - (449657*s[45])/1584 - 
       (6238211*s[46])/792 + (4560931*s[47])/1584 - (2600449*s[48])/792 - 
       (4253333*s[49])/792 + (252133*s[50])/44 + (1903093*s[51])/528 + 
       (4372925*s[52])/1584 - (16561691*s[53])/4752 + (198707*s[54])/99 - 
       (23846455*s[55])/1584 - (23037211*s[56])/4752 + 
       (73046399*s[57])/1782 - (56521976*s[58])/2673 + 
       (833323715*s[59])/42768 + (17786651*s[60])/396 - 
       (1758039673*s[61])/769824 - 14*s[65] - 58*s[66] + 82*s[67] + 
       (250*s[68])/3 + 58*s[69] + 6*s[70] + 22*s[71] + 82*s[72] + 118*s[73] - 
       (139*s[74])/2 + (139*s[75])/2 + (434*s[76])/3 + 21*s[77] - 6*s[78] - 
       (128*s[79])/3 - (175*s[80])/9 - 1125*s[82] - 9*s[83] + 18*s[84] - 
       24*s[85])*\[Zeta][2] + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
      ((133*s[2])/24 + (607*s[3])/48 - (29677*s[4])/96 - (213265*s[5])/528 - 
       (257529*s[6])/352 - (114137341*s[7])/19008 + (4990409*s[8])/9504 + 
       (2252321*s[9])/432 + (512305*s[10])/432 + (13907275*s[11])/2112 + 
       (23294273*s[12])/3168 + (84033491*s[13])/19008 + 
       (1941325*s[14])/2112 + (12963739*s[15])/1728 + (91569565*s[16])/9504 + 
       (134077621*s[17])/19008 + (332635*s[18])/216 + (118861*s[19])/864 + 
       (114028187*s[20])/9504 + (273924265*s[21])/57024 - 
       (181625485*s[22])/57024 - (21503195*s[23])/2376 - 
       (78214375*s[24])/14256 + (1051523617*s[25])/128304 - 
       (78250973*s[26])/16038 - s[30]/6 - (16*s[31])/3 - (13*s[32])/2 - 
       (265*s[33])/48 + (32*s[34])/3 + (77*s[35])/12 + (797*s[36])/36 - 
       (283*s[37])/4 - (1149*s[38])/4 + (4441*s[39])/4 - (21625*s[40])/18 + 
       (1695*s[41])/2 - (14911*s[42])/9 - (299677*s[43])/396 + 
       (2632877*s[44])/3168 - (255097*s[45])/264 + (5837621*s[46])/792 - 
       (6545065*s[47])/9504 + (4129247*s[48])/9504 + (30221683*s[49])/9504 - 
       (4168829*s[50])/792 - (11605337*s[51])/9504 - (10398029*s[52])/9504 + 
       (8791417*s[53])/2376 - (190321*s[54])/198 + (24741995*s[55])/1056 + 
       (69634921*s[56])/9504 - (86881489*s[57])/7128 + 
       (1147916879*s[58])/85536 - (1105759925*s[59])/85536 - 
       (3182441773*s[60])/57024 + (2651025059*s[61])/769824 + (13*s[65])/12 + 
       (13*s[66])/3 - (43*s[67])/6 - (73*s[68])/6 + (19*s[69])/6 - 
       (2*s[70])/3 - (5*s[71])/6 - (47*s[72])/6 - (41*s[73])/6 + 
       (193*s[74])/24 - (193*s[75])/24 + 3*s[76] - (61*s[77])/12 - 
       (49*s[78])/6 - 80*s[79] + (53*s[80])/3 + 237*s[82] - s[83]/4 - 
       (75*s[84])/2 - 16*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]^2*(4*s[2] - (155*s[3])/48 + (1369*s[4])/96 + 
       (3535*s[5])/528 - (19343*s[6])/528 + (2382935*s[7])/19008 - 
       (73765*s[8])/14256 - (254539*s[9])/2592 - (9160*s[10])/81 - 
       (1630115*s[11])/19008 - (77083*s[12])/19008 + (12979*s[13])/1056 + 
       (120277*s[14])/4752 - (233605*s[15])/576 - (2125757*s[16])/6336 - 
       (8602933*s[17])/19008 + (612985*s[18])/7776 - (703121*s[19])/3888 - 
       (21161065*s[20])/85536 - (2202367*s[21])/85536 + 
       (2642335*s[22])/42768 - (250469*s[23])/1056 + (27110591*s[24])/85536 - 
       (107827129*s[25])/769824 + (6691595*s[26])/384912 - s[30]/2 + 
       s[31]/3 - (31*s[32])/24 - s[33]/6 - (13*s[34])/12 - (19*s[36])/3 - 
       (445*s[37])/144 - (109*s[38])/8 + (3127*s[39])/48 - (3463*s[40])/48 + 
       (2041*s[41])/48 - (1763*s[42])/16 - (5273*s[43])/528 + 
       (9967*s[44])/264 + (187729*s[45])/3168 - (299305*s[46])/3168 - 
       (129551*s[47])/1584 + (36947*s[48])/792 - (7369*s[49])/1584 + 
       (6187*s[50])/33 - (52655*s[51])/528 - (146383*s[52])/1584 - 
       (423197*s[53])/2376 - (384191*s[54])/1584 - (4193537*s[55])/3168 - 
       (185981*s[56])/4752 - (50979011*s[57])/28512 + 
       (31285333*s[58])/85536 - (11892583*s[59])/85536 + 
       (34775407*s[60])/19008 - (15255109*s[61])/384912 + s[65]/2 + 2*s[66] - 
       3*s[67] - (17*s[68])/6 - 2*s[69] - s[71]/8 - 3*s[72] - 3*s[73] + 
       (15*s[74])/8 - (15*s[75])/8 - (31*s[76])/6 - (41*s[79])/6 + 
       (899*s[80])/72 + 75*s[82] - 6*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*((-15*s[2])/4 + (529*s[3])/24 - 
       (6905*s[4])/48 + (6317*s[5])/88 + (11159*s[6])/528 - 
       (18070313*s[7])/9504 + (3470323*s[8])/14256 + (473639*s[9])/324 + 
       (354361*s[10])/324 + (16477039*s[11])/9504 + (3318335*s[12])/2376 + 
       (5357009*s[13])/9504 + (3128647*s[14])/9504 + (3387055*s[15])/864 + 
       (9854123*s[16])/2376 + (14294155*s[17])/3168 - (137641*s[18])/486 + 
       (4642199*s[19])/3888 + (180718979*s[20])/42768 + 
       (78861829*s[21])/85536 - (84091277*s[22])/85536 + (205489*s[23])/297 - 
       (68260913*s[24])/21384 + (897242243*s[25])/384912 - 
       (360761927*s[26])/384912 + 6*s[29] - (29*s[30])/6 + (50*s[31])/3 + 
       (149*s[32])/6 - (7*s[33])/12 - (119*s[34])/6 + (95*s[35])/6 + 
       (317*s[36])/18 + (680*s[37])/9 + (677*s[38])/6 + (4273*s[39])/12 - 
       (16345*s[40])/36 + (3359*s[41])/6 - (25337*s[42])/36 - 
       (149009*s[43])/396 + (991601*s[44])/1584 - (59401*s[45])/396 + 
       (242983*s[46])/66 + (571031*s[47])/4752 - (1002541*s[48])/4752 + 
       (13994203*s[49])/4752 - (416324*s[50])/99 - (1764437*s[51])/4752 + 
       (789859*s[52])/4752 + (294572*s[53])/99 + (71975*s[54])/44 + 
       (26651275*s[55])/1584 + (6260129*s[56])/4752 + (46423931*s[57])/7128 + 
       (78926431*s[58])/42768 - (155794171*s[59])/42768 - 
       (1042918729*s[60])/28512 + (192810887*s[61])/192456 + 2*s[63] + 
       (11*s[65])/3 + (44*s[66])/3 - (59*s[67])/3 + 10*s[68] - 
       (191*s[69])/3 - (5*s[70])/3 - (17*s[71])/3 - (53*s[72])/3 + 
       (88*s[73])/3 + (49*s[74])/4 - (49*s[75])/4 - 24*s[76] + 
       (155*s[77])/6 - (47*s[78])/3 - (286*s[79])/3 + (433*s[80])/9 - 
       666*s[82] - 5*s[83] - 44*s[84] - 4*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v]*((129*s[2])/2 + (107*s[3])/72 + 
       (4267*s[4])/144 + (163259*s[5])/1584 + (416677*s[6])/1056 + 
       (37502833*s[7])/28512 + (14059885*s[8])/85536 - (8191681*s[9])/7776 - 
       (2482651*s[10])/3888 - (96739715*s[11])/57024 - 
       (88795345*s[12])/57024 - (972307*s[13])/792 - (3775285*s[14])/7128 - 
       (66839*s[15])/32 - (822551*s[16])/297 - (165104947*s[17])/57024 + 
       (3106567*s[18])/23328 - (20561911*s[19])/23328 - 
       (18758450*s[20])/8019 - (37305593*s[21])/32076 + 
       (166322069*s[22])/256608 - (6332905*s[23])/6336 + 
       (1253903395*s[24])/513216 - (8820700043*s[25])/4618944 + 
       (5667454139*s[26])/4618944 + (17*s[30])/3 + (163*s[31])/9 - 
       (521*s[32])/36 - (749*s[33])/36 - (407*s[34])/18 + (122*s[35])/3 - 
       (128*s[36])/9 + (6073*s[37])/216 + (1813*s[38])/12 + (7213*s[39])/48 - 
       (18599*s[40])/144 + (11585*s[41])/72 - (11383*s[42])/18 + 
       (1100383*s[43])/1584 - (246553*s[44])/1584 + (2286613*s[45])/2376 - 
       (16560617*s[46])/4752 - (986255*s[47])/1188 + (6821989*s[48])/4752 - 
       (11404783*s[49])/4752 + (991363*s[50])/396 - (1759465*s[51])/2376 - 
       (1029299*s[52])/2376 - (29529175*s[53])/14256 - (3143815*s[54])/2376 - 
       (73212941*s[55])/4752 - (5627449*s[56])/1782 - 
       (357205207*s[57])/42768 - (19375357*s[58])/8019 + 
       (510994927*s[59])/128304 + (522842413*s[60])/14256 - 
       (3628483475*s[61])/2309472 + (10*s[65])/3 + (40*s[66])/3 - 20*s[67] - 
       (274*s[68])/9 + 10*s[69] - (11*s[70])/3 - (77*s[71])/12 - 
       (80*s[72])/3 - (280*s[73])/3 + (379*s[74])/12 - (379*s[75])/12 - 
       (623*s[76])/9 - (61*s[77])/3 + (179*s[78])/3 - (577*s[79])/9 + 
       (2821*s[80])/108 + (1939*s[82])/3 + 3*s[83] - 90*s[84] - (4*s[85])/3)*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*
      ((-7*s[3])/12 + (115*s[4])/12 + (8423*s[5])/528 + (2257*s[6])/88 + 
       (162521*s[7])/528 - (15527*s[8])/792 - (18943*s[9])/72 - 
       (15169*s[10])/144 - (113833*s[11])/352 - (354373*s[12])/1056 - 
       (31387*s[13])/176 - (2678*s[14])/33 - (10777*s[15])/24 - 
       (95525*s[16])/176 - (490403*s[17])/1056 - (6037*s[18])/108 - 
       (25787*s[19])/432 - (3224231*s[20])/4752 - (297239*s[21])/1188 + 
       (768523*s[22])/4752 + (72443*s[23])/352 + (3499505*s[24])/9504 - 
       (16663145*s[25])/42768 + (2485709*s[26])/10692 - s[32]/3 - 2*s[37] + 
       (29*s[38])/12 - (547*s[39])/48 + (739*s[40])/48 - (291*s[41])/16 + 
       (479*s[42])/48 + (10489*s[43])/528 - (25493*s[44])/1056 + 
       (31693*s[45])/528 - (28685*s[46])/88 - (15685*s[47])/3168 + 
       (91829*s[48])/3168 - (350573*s[49])/3168 + (17783*s[50])/66 + 
       (37789*s[51])/3168 + (4231*s[52])/3168 - (155983*s[53])/792 - 
       (1615*s[54])/132 - (4254377*s[55])/3168 - (114303*s[56])/352 - 
       (197227*s[57])/792 - (3581945*s[58])/9504 + (3753473*s[59])/9504 + 
       (55497965*s[60])/19008 - (1236187*s[61])/7128 - (2*s[68])/3 + 
       (2*s[69])/3 - (2*s[77])/3 + 44*s[82] + 8*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*((2*s[2])/3 - (35*s[3])/12 - 
       (39*s[4])/4 + (3461*s[5])/528 + (1577*s[6])/132 + (420229*s[7])/4752 + 
       (17839*s[8])/3564 - (51839*s[9])/648 - (73649*s[10])/1296 - 
       (808427*s[11])/9504 - (615073*s[12])/9504 - (21089*s[13])/792 - 
       (239807*s[14])/2376 - (11047*s[15])/72 - (291347*s[16])/1584 - 
       (1997491*s[17])/9504 - (22517*s[18])/3888 - (59849*s[19])/1944 - 
       (5723987*s[20])/21384 - (269689*s[21])/2673 + (2090591*s[22])/42768 - 
       (524219*s[23])/3168 + (13609561*s[24])/85536 - 
       (27936583*s[25])/384912 + (12263813*s[26])/192456 - (2*s[30])/3 + 
       (2*s[34])/3 + (8*s[35])/3 + (14*s[36])/9 - (113*s[37])/36 - 
       (21*s[38])/4 + (367*s[39])/16 - (2663*s[40])/144 + (157*s[41])/16 - 
       (5767*s[42])/144 + (995*s[43])/1584 + (9125*s[44])/3168 + 
       (41479*s[45])/1584 - (7129*s[46])/88 - (262219*s[47])/9504 + 
       (475067*s[48])/9504 - (27893*s[49])/9504 + (32117*s[50])/396 - 
       (212183*s[51])/9504 - (247991*s[52])/9504 - (16067*s[53])/264 - 
       (2953*s[54])/264 - (1588585*s[55])/3168 - (1140847*s[56])/9504 - 
       (1972717*s[57])/3564 + (2949013*s[58])/85536 - (1942165*s[59])/85536 + 
       (59941205*s[60])/57024 - (24778177*s[61])/384912 - (2*s[68])/3 + 
       (2*s[69])/3 + s[74]/3 - s[75]/3 + (4*s[76])/3 - (2*s[77])/3 - 
       (4*s[78])/3 + (8*s[79])/3 - (28*s[80])/9 + 44*s[82] + 8*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*
      ((-7*s[3])/12 - (47*s[4])/12 + (10391*s[5])/528 + (415*s[6])/22 + 
       (113005*s[7])/528 - (41*s[8])/66 - (381*s[9])/2 - (1593*s[10])/16 - 
       (225245*s[11])/1056 - (196379*s[12])/1056 - (57953*s[13])/528 - 
       (4525*s[14])/44 - (8429*s[15])/24 - (213217*s[16])/528 - 
       (146991*s[17])/352 - (1163*s[18])/72 - (10715*s[19])/144 - 
       (785897*s[20])/1584 - (71473*s[21])/396 + (59809*s[22])/528 - 
       (79025*s[23])/1056 + (318983*s[24])/1056 - (1750415*s[25])/7128 + 
       (2102239*s[26])/14256 - s[32]/3 - (37*s[37])/6 - (43*s[38])/12 + 
       (353*s[39])/48 - (161*s[40])/48 + (57*s[41])/16 - (793*s[42])/48 + 
       (2197*s[43])/528 - (9413*s[44])/1056 + (26905*s[45])/528 - 
       (19037*s[46])/88 - (48109*s[47])/3168 + (86597*s[48])/3168 - 
       (187565*s[49])/3168 + (8959*s[50])/44 - (21419*s[51])/3168 - 
       (51137*s[52])/3168 - (119101*s[53])/792 - (7415*s[54])/132 - 
       (3348881*s[55])/3168 - (210757*s[56])/1056 - (409735*s[57])/792 - 
       (1415753*s[58])/9504 + (1758857*s[59])/9504 + (40491965*s[60])/19008 - 
       (37093*s[61])/297 - (2*s[68])/3 + (2*s[69])/3 - (2*s[77])/3 + 
       (97*s[82])/2 + 8*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*
      ((2*s[2])/3 - (35*s[3])/12 - (39*s[4])/4 + (5813*s[5])/528 + 
       (133*s[6])/264 + (350443*s[7])/4752 + (34355*s[8])/7128 - 
       (23071*s[9])/324 - (80993*s[10])/1296 - (546365*s[11])/9504 - 
       (150943*s[12])/9504 - (2753*s[13])/792 - (169229*s[14])/2376 - 
       (3103*s[15])/18 - (262775*s[16])/1584 - (2208037*s[17])/9504 + 
       (34669*s[18])/3888 - (49729*s[19])/972 - (4533773*s[20])/21384 - 
       (191821*s[21])/2673 + (1721501*s[22])/42768 - (625349*s[23])/3168 + 
       (12786331*s[24])/85536 - (1145737*s[25])/24057 + 
       (12589063*s[26])/384912 - (2*s[30])/3 + (2*s[34])/3 + (8*s[35])/3 + 
       (14*s[36])/9 - (125*s[37])/36 - (41*s[38])/4 + (451*s[39])/16 - 
       (3419*s[40])/144 + (289*s[41])/16 - (6055*s[42])/144 - 
       (21217*s[43])/1584 + (34505*s[44])/3168 + (48067*s[45])/1584 - 
       (6145*s[46])/88 - (202495*s[47])/9504 + (199775*s[48])/9504 + 
       (302191*s[49])/9504 + (19267*s[50])/198 - (194651*s[51])/9504 - 
       (311459*s[52])/9504 - (21235*s[53])/264 - (4463*s[54])/88 - 
       (1862869*s[55])/3168 - (781171*s[56])/9504 - (1123091*s[57])/1782 + 
       (6330529*s[58])/85536 - (3604537*s[59])/85536 + 
       (51250553*s[60])/57024 - (24828109*s[61])/384912 - (2*s[68])/3 + 
       (2*s[69])/3 + s[74]/3 - s[75]/3 + (4*s[76])/3 - (2*s[77])/3 - 
       (4*s[78])/3 + (8*s[79])/3 - (28*s[80])/9 + (97*s[82])/2 + 8*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      ((185*s[2])/6 - (925*s[3])/72 - (20033*s[4])/144 - (626149*s[5])/1584 - 
       (636115*s[6])/1056 - (121844495*s[7])/28512 + (32509501*s[8])/85536 + 
       (29641247*s[9])/7776 + (2830793*s[10])/3888 + (263704141*s[11])/
        57024 + (294177647*s[12])/57024 + (2370035*s[13])/792 + 
       (7379555*s[14])/7128 + (1472657*s[15])/288 + (3974351*s[16])/594 + 
       (273840701*s[17])/57024 + (36867847*s[18])/23328 - 
       (11554183*s[19])/23328 + (289393321*s[20])/32076 + 
       (130036783*s[21])/32076 - (580817011*s[22])/256608 - 
       (48001369*s[23])/6336 - (1611563213*s[24])/513216 + 
       (25199753749*s[25])/4618944 - (17248392565*s[26])/4618944 - 
       (14*s[30])/3 + (19*s[31])/9 - (341*s[32])/36 + (40*s[33])/9 + 
       (67*s[34])/18 + 28*s[35] + (139*s[36])/18 - (12581*s[37])/216 - 
       (1979*s[38])/12 + (16649*s[39])/16 - (49843*s[40])/48 + 
       (27439*s[41])/36 - (125879*s[42])/72 - (369271*s[43])/1584 + 
       (455381*s[44])/792 - (2803*s[45])/297 + (14222155*s[46])/4752 - 
       (569717*s[47])/528 + (323975*s[48])/264 + (491219*s[49])/396 - 
       (687649*s[50])/396 - (6212617*s[51])/4752 - (1823465*s[52])/1584 + 
       (14778437*s[53])/14256 - (3403303*s[54])/2376 + 
       (11275685*s[55])/2376 + (42250471*s[56])/14256 - 
       (757895455*s[57])/42768 + (1146014939*s[58])/128304 - 
       (61084862*s[59])/8019 - (387698141*s[60])/28512 + 
       (3078733465*s[61])/2309472 + (10*s[65])/3 + (40*s[66])/3 - 20*s[67] - 
       (241*s[68])/9 - (5*s[69])/3 - (5*s[70])/3 - (41*s[71])/12 - 
       (74*s[72])/3 - (118*s[73])/3 + (87*s[74])/4 - (87*s[75])/4 - 
       (221*s[76])/9 - (32*s[77])/3 - 9*s[78] - (115*s[79])/9 + 
       (475*s[80])/108 + (1495*s[82])/3 - 24*s[84] + (32*s[85])/3)*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*
      ((43*s[2])/8 + (201*s[3])/8 + (893*s[4])/48 + (827*s[5])/22 + 
       (11477*s[6])/352 + (175783*s[7])/176 - (86309*s[8])/9504 - 
       (737005*s[9])/864 - (123137*s[10])/216 - (3109717*s[11])/3168 - 
       (5187745*s[12])/6336 - (2367437*s[13])/6336 - (2678969*s[14])/6336 - 
       (540301*s[15])/288 - (13132577*s[16])/6336 - (6859387*s[17])/3168 - 
       (94253*s[18])/2592 - (1261621*s[19])/2592 - (35676425*s[20])/14256 - 
       (45614585*s[21])/57024 + (29644663*s[22])/57024 - 
       (1680577*s[23])/3168 + (47087411*s[24])/28512 - 
       (146668319*s[25])/128304 + (165837139*s[26])/256608 - (13*s[31])/4 - 
       (13*s[32])/4 + (23*s[33])/8 + (5*s[34])/2 + (3*s[35])/2 - 
       (33*s[36])/4 - (343*s[37])/12 - (209*s[38])/8 + (5467*s[39])/48 - 
       (5323*s[40])/48 + (645*s[41])/16 - (19115*s[42])/96 + (519*s[43])/16 + 
       (43*s[44])/32 + (3847*s[45])/24 - (27451*s[46])/48 - 
       (57775*s[47])/288 + (74351*s[48])/288 - (4619*s[49])/18 + 704*s[50] - 
       (2017*s[51])/16 - (51455*s[52])/288 - (153131*s[53])/288 - 
       (21485*s[54])/48 - (1076363*s[55])/288 - (2275*s[56])/9 - 
       (1780661*s[57])/432 + (1166189*s[58])/2592 - (38573*s[59])/648 + 
       (809741*s[60])/108 - (12267449*s[61])/46656 + s[65]/2 + 2*s[66] - 
       3*s[67] - (19*s[68])/4 + (3*s[69])/4 - s[70]/4 - (9*s[71])/8 - 
       (5*s[72])/2 - s[73] + (3*s[74])/2 - (3*s[75])/2 + (3*s[76])/2 - 
       (5*s[77])/4 - (19*s[78])/4 - 22*s[79] + (283*s[80])/12 + 
       (439*s[82])/2 + 13*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^3*((-3*s[2])/4 - (23*s[3])/48 - (8395*s[4])/96 - 
       (41831*s[5])/528 - (43139*s[6])/528 - (27249907*s[7])/19008 + 
       (501695*s[8])/3564 + (3196931*s[9])/2592 + (467957*s[10])/1296 + 
       (30253315*s[11])/19008 + (33371225*s[12])/19008 + (405763*s[13])/396 + 
       (64331*s[14])/9504 + (1146637*s[15])/576 + (15624611*s[16])/6336 + 
       (34948277*s[17])/19008 + (1758373*s[18])/7776 + (63793*s[19])/243 + 
       (243042095*s[20])/85536 + (44448607*s[21])/42768 - 
       (66301837*s[22])/85536 - (5910865*s[23])/3168 - 
       (135945589*s[24])/85536 + (1586224391*s[25])/769824 - 
       (53140457*s[26])/48114 + (3*s[30])/2 - (7*s[31])/6 + (5*s[32])/24 - 
       (29*s[33])/12 + (95*s[34])/12 + (19*s[35])/2 + (131*s[36])/6 - 
       (2593*s[37])/144 - (1771*s[38])/24 + (15089*s[39])/48 - 
       (14761*s[40])/48 + (11173*s[41])/48 - (7519*s[42])/16 - 
       (31297*s[43])/176 + (268373*s[44])/1056 - (114599*s[45])/3168 + 
       (3602051*s[46])/3168 - (564367*s[47])/3168 + (513611*s[48])/3168 + 
       (3255871*s[49])/3168 - (122147*s[50])/132 - (305651*s[51])/1056 - 
       (661547*s[52])/3168 + (176327*s[53])/297 + (319735*s[54])/1584 + 
       (2510977*s[55])/792 + (4831991*s[56])/9504 - (82518665*s[57])/28512 + 
       (92234831*s[58])/42768 - (99360131*s[59])/42768 - 
       (43002263*s[60])/4752 + (171411325*s[61])/769824 + s[65] + 4*s[66] - 
       6*s[67] - (10*s[68])/3 - 8*s[69] - s[70]/2 - (19*s[71])/8 - 5*s[72] - 
       s[73] + (41*s[74])/8 - (41*s[75])/8 - (25*s[76])/6 + s[77]/2 - 
       (11*s[78])/2 + (91*s[79])/6 - (1165*s[80])/72 + 46*s[82] + 20*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*
      ((-91*s[2])/12 - (115*s[3])/6 - (25397*s[4])/48 - (21895*s[5])/44 - 
       (231001*s[6])/264 - (29863973*s[7])/3168 + (11283037*s[8])/14256 + 
       (10403963*s[9])/1296 + (3252475*s[10])/1296 + (97898587*s[11])/9504 + 
       (106342985*s[12])/9504 + (7817633*s[13])/1188 + (2557285*s[14])/2376 + 
       (11077193*s[15])/864 + (152243881*s[16])/9504 + 
       (118303621*s[17])/9504 + (433255*s[18])/243 + (339146*s[19])/243 + 
       (811851209*s[20])/42768 + (300610721*s[21])/42768 - 
       (13322527*s[22])/2673 - (53173765*s[23])/4752 - 
       (436665673*s[24])/42768 + (10032562189*s[25])/769824 - 
       (5596790491*s[26])/769824 + (37*s[30])/12 - (25*s[31])/6 + 
       (13*s[32])/12 - (203*s[33])/48 + (71*s[34])/4 + (68*s[35])/3 + 
       (1045*s[36])/18 - (416*s[37])/9 - (711*s[38])/2 + (6013*s[39])/4 - 
       (56987*s[40])/36 + (29633*s[41])/24 - (319081*s[42])/144 - 
       (435163*s[43])/396 + (2053585*s[44])/1584 - (97760*s[45])/99 + 
       (1233977*s[46])/132 - (814553*s[47])/1188 + (364801*s[48])/1188 + 
       (25761431*s[49])/4752 - (5772911*s[50])/792 - (7080319*s[51])/4752 - 
       (5437813*s[52])/4752 + (879833*s[53])/176 + (7373*s[54])/66 + 
       (24146893*s[55])/792 + (35508931*s[56])/4752 - (42576565*s[57])/3564 + 
       (327943435*s[58])/21384 - (672996923*s[59])/42768 - 
       (2148454259*s[60])/28512 + (2784024109*s[61])/769824 + (25*s[65])/12 + 
       (25*s[66])/3 - (38*s[67])/3 - (25*s[68])/3 - (47*s[69])/3 - 
       (5*s[70])/3 - (13*s[71])/3 - (37*s[72])/3 - (4*s[73])/3 + 
       (167*s[74])/12 - (167*s[75])/12 - (16*s[76])/3 - s[77]/3 - 
       (79*s[78])/6 - (113*s[79])/3 - (305*s[80])/18 - 6*s[82] - s[83]/4 - 
       (69*s[84])/2 + 20*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - v]^2*((107*s[2])/8 + (219*s[3])/16 + (6673*s[4])/96 + 
       (755*s[5])/11 + (201263*s[6])/1056 + (30678793*s[7])/19008 - 
       (2101063*s[8])/28512 - (1727011*s[9])/1296 - (787895*s[10])/1296 - 
       (32825077*s[11])/19008 - (8178065*s[12])/4752 - (6428629*s[13])/6336 - 
       (8465329*s[14])/19008 - (1425793*s[15])/576 - (9485077*s[16])/3168 - 
       (51839411*s[17])/19008 - (631535*s[18])/3888 - (3755981*s[19])/7776 - 
       (294618833*s[20])/85536 - (205926595*s[21])/171072 + 
       (142229171*s[22])/171072 + (2161543*s[23])/3168 + 
       (187013797*s[24])/85536 - (1634212865*s[25])/769824 + 
       (914096045*s[26])/769824 - s[30]/2 + (11*s[31])/12 - (77*s[32])/24 + 
       (25*s[33])/24 - (5*s[34])/12 + (7*s[35])/2 - (7*s[36])/6 - 
       (2327*s[37])/144 + (181*s[38])/12 - 49*s[39] + (1069*s[40])/12 - 
       (663*s[41])/8 + (2741*s[42])/96 + (7243*s[43])/33 - 
       (165949*s[44])/1056 + (1047965*s[45])/3168 - (6019619*s[46])/3168 - 
       (530623*s[47])/3168 + (1118321*s[48])/3168 - (780383*s[49])/792 + 
       (52997*s[50])/33 - (55967*s[51])/1584 - (162791*s[52])/3168 - 
       (11479783*s[53])/9504 - (221963*s[54])/792 - (266276*s[55])/33 - 
       (2012485*s[56])/1188 - (74589307*s[57])/28512 - 
       (73464851*s[58])/42768 + (186000025*s[59])/85536 + 
       (38302345*s[60])/2112 - (1385525765*s[61])/1539648 + s[65]/2 + 
       2*s[66] - 3*s[67] - (71*s[68])/12 + (11*s[69])/4 + s[70]/4 - 
       (3*s[71])/4 - (7*s[72])/2 - 10*s[73] + (31*s[74])/8 - (31*s[75])/8 - 
       (13*s[76])/3 - (19*s[77])/4 + (9*s[78])/4 + (71*s[79])/6 - 
       (629*s[80])/72 + 215*s[82] + 23*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w]*((47*s[2])/12 + (1583*s[3])/9 + 
       (37835*s[4])/36 + (201977*s[5])/792 + (108571*s[6])/88 + 
       (162468307*s[7])/14256 - (22676977*s[8])/21384 - (8966041*s[9])/972 - 
       (5443717*s[10])/1944 - (365719463*s[11])/28512 - 
       (103185373*s[12])/7128 - (83836531*s[13])/9504 - 
       (1151429*s[14])/28512 - (800381*s[15])/54 - (20148043*s[16])/1056 - 
       (393442651*s[17])/28512 - (4800239*s[18])/2916 - 
       (13882001*s[19])/5832 - (1358658407*s[20])/64152 - 
       (1732732469*s[21])/256608 + (1502324281*s[22])/256608 + 
       (138116273*s[23])/9504 + (3358898791*s[24])/256608 - 
       (39814412141*s[25])/2309472 + (19533949247*s[26])/2309472 + 
       (22*s[30])/3 - (245*s[31])/18 + (25*s[32])/18 - (7*s[33])/36 + 
       (172*s[34])/9 - 19*s[35] + (569*s[36])/18 - (833*s[37])/108 + 
       (5927*s[38])/12 - (26687*s[39])/12 + (29827*s[40])/12 - 
       (149345*s[41])/72 + (471433*s[42])/144 + (743173*s[43])/396 - 
       (3315151*s[44])/1584 + (1616947*s[45])/1188 - (17120107*s[46])/1188 + 
       (1235915*s[47])/1584 + (315215*s[48])/1584 - (3563617*s[49])/396 + 
       (1138237*s[50])/99 + (2807131*s[51])/1188 + (873647*s[52])/528 - 
       (109727015*s[53])/14256 + (791719*s[54])/2376 - 
       (219366811*s[55])/4752 - (75820895*s[56])/7128 + 
       (296777957*s[57])/21384 - (2772524009*s[58])/128304 + 
       (1428389011*s[59])/64152 + (1699474009*s[60])/14256 - 
       (12392589997*s[61])/2309472 - (2*s[65])/3 - (8*s[66])/3 + 4*s[67] - 
       (61*s[68])/18 + (119*s[69])/6 + (3*s[70])/2 - (13*s[71])/12 + 
       17*s[72] - 6*s[73] - 13*s[74] + 13*s[75] + (251*s[76])/9 - 
       (21*s[77])/2 - (31*s[78])/2 + (1558*s[79])/9 - (2767*s[80])/27 - 
       125*s[82] - 12*s[83] + 72*s[84] + 26*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      ((83*s[2])/6 - (4333*s[3])/72 - (25661*s[4])/144 - (537109*s[5])/1584 - 
       (648451*s[6])/1056 - (25704509*s[7])/7128 + (32540359*s[8])/85536 + 
       (24395213*s[9])/7776 + (445115*s[10])/972 + (220007797*s[11])/57024 + 
       (243142115*s[12])/57024 + (6057859*s[13])/2376 + 
       (1413965*s[14])/1782 + (1919011*s[15])/432 + (17951921*s[16])/3168 + 
       (241561721*s[17])/57024 + (29716723*s[18])/23328 - 
       (11022901*s[19])/23328 + (59337547*s[20])/8019 + 
       (214585499*s[21])/64152 - (478801297*s[22])/256608 - 
       (137501305*s[23])/19008 - (1311226907*s[24])/513216 + 
       (21581461975*s[25])/4618944 - (14645012215*s[26])/4618944 + 
       (5*s[30])/3 - (8*s[31])/9 - (101*s[32])/36 - s[33]/18 + 
       (61*s[34])/18 + (37*s[35])/2 + (176*s[36])/9 - (5651*s[37])/216 - 
       (253*s[38])/3 + (43549*s[39])/48 - (45869*s[40])/48 + 
       (52379*s[41])/72 - (14482*s[42])/9 - (339085*s[43])/1584 + 
       (1776059*s[44])/3168 + (484897*s[45])/2376 + (9266431*s[46])/4752 - 
       (1019987*s[47])/1056 + (1240931*s[48])/1056 + (3450907*s[49])/3168 - 
       (105868*s[50])/99 - (11466293*s[51])/9504 - (3142171*s[52])/3168 + 
       (1237369*s[53])/1782 - (3354217*s[54])/2376 + (19050503*s[55])/9504 + 
       (49094663*s[56])/28512 - (644738635*s[57])/42768 + 
       (1698075175*s[58])/256608 - (1481237365*s[59])/256608 - 
       (341131801*s[60])/57024 + (1574469199*s[61])/2309472 + (11*s[65])/3 + 
       (44*s[66])/3 - 20*s[67] - (211*s[68])/9 - 13*s[69] - (47*s[71])/12 - 
       26*s[72] - 29*s[73] + (83*s[74])/4 - (83*s[75])/4 - (395*s[76])/9 - 
       (4*s[77])/3 - 4*s[78] - (127*s[79])/9 + (2581*s[80])/108 + 551*s[82] - 
       24*s[84] + 28*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((523*s[2])/6 - (637*s[3])/12 - (20473*s[4])/24 - 
       (33201*s[5])/44 - (272431*s[6])/264 - (1970809*s[7])/176 + 
       (10199641*s[8])/7128 + (1565987*s[9])/162 + (142519*s[10])/162 + 
       (62117851*s[11])/4752 + (38226049*s[12])/2376 + 
       (47144407*s[13])/4752 - (5760155*s[14])/4752 + (5098673*s[15])/432 + 
       (19517461*s[16])/1188 + (39785065*s[17])/4752 + (3143717*s[18])/972 - 
       (878827*s[19])/1944 + (429040721*s[20])/21384 + 
       (342883099*s[21])/42768 - (258071555*s[22])/42768 - 
       (60258793*s[23])/2376 - (182836213*s[24])/21384 + 
       (3341837195*s[25])/192456 - (1817711513*s[26])/192456 - (10*s[30])/3 - 
       (26*s[31])/3 - (56*s[32])/3 - (287*s[33])/12 + (106*s[34])/3 + 
       (118*s[35])/3 + (171*s[36])/2 - (1595*s[37])/6 - (7825*s[38])/6 + 
       (139285*s[39])/24 - (49267*s[40])/8 + (107587*s[41])/24 - 
       (212095*s[42])/24 - (269505*s[43])/88 + (775703*s[44])/176 - 
       (260807*s[45])/132 + (6846047*s[46])/264 - (6332807*s[47])/1584 + 
       (4935307*s[48])/1584 + (24129305*s[49])/1584 - (1224973*s[50])/66 - 
       (10122133*s[51])/1584 - (8300359*s[52])/1584 + (2351317*s[53])/198 - 
       (35826*s[54])/11 + (109517357*s[55])/1584 + (33178355*s[56])/1584 - 
       (84588917*s[57])/1188 + (762676549*s[58])/14256 - 
       (723712975*s[59])/14256 - (1778203343*s[60])/9504 + 
       (1257235081*s[61])/128304 + (32*s[65])/3 + (128*s[66])/3 - 64*s[67] - 
       (196*s[68])/3 - 36*s[69] + 8*s[70] - (56*s[71])/3 - 84*s[72] - 
       (235*s[73])/3 + 76*s[74] - 76*s[75] - (278*s[76])/3 - (76*s[77])/3 + 
       19*s[78] - (794*s[79])/3 + 134*s[80] + 1550*s[82] + s[83] - 
       118*s[84] + 32*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((397*s[2])/3 - (1135*s[3])/6 - (6965*s[4])/4 - 
       (69613*s[5])/44 - (152495*s[6])/44 - (71974075*s[7])/2376 + 
       (3665207*s[8])/1188 + (695557*s[9])/27 + (655379*s[10])/108 + 
       (1118054*s[11])/33 + (30834541*s[12])/792 + (55946735*s[13])/2376 + 
       (665239*s[14])/264 + (7833631*s[15])/216 + (57383125*s[16])/1188 + 
       (38926211*s[17])/1188 + (395507*s[18])/54 + (42328*s[19])/27 + 
       (35218345*s[20])/594 + (160734043*s[21])/7128 - 
       (114071113*s[22])/7128 - (109543795*s[23])/2376 - 
       (206410069*s[24])/7128 + (348463463*s[25])/8019 - 
       (784075691*s[26])/32076 + 6*s[30] + (64*s[31])/3 - (160*s[32])/3 - 
       (5*s[33])/3 - 18*s[34] + 74*s[35] + (833*s[36])/9 - (1934*s[37])/9 - 
       (4480*s[38])/3 + (13827*s[39])/2 - (134341*s[40])/18 + 
       (32971*s[41])/6 - (189899*s[42])/18 - (812027*s[43])/198 + 
       (1099019*s[44])/198 - (1340219*s[45])/396 + (1612291*s[46])/44 - 
       (2607271*s[47])/594 + (824485*s[48])/297 + (11710027*s[49])/594 - 
       (2657563*s[50])/99 - (2269204*s[51])/297 - (3729269*s[52])/594 + 
       (3460837*s[53])/198 - (132851*s[54])/33 + (10415335*s[55])/99 + 
       (18587453*s[56])/594 - (142169477*s[57])/1782 + 
       (751886105*s[58])/10692 - (178954469*s[59])/2673 - 
       (1957426379*s[60])/7128 + (2914875859*s[61])/192456 + (32*s[65])/3 + 
       (128*s[66])/3 - 64*s[67] - (220*s[68])/3 - 20*s[69] - 4*s[70] - 
       (56*s[71])/3 - 96*s[72] - (274*s[73])/3 + (250*s[74])/3 - 
       (250*s[75])/3 - (352*s[76])/3 - (76*s[77])/3 + (62*s[78])/3 - 
       372*s[79] + (1778*s[80])/9 + 1550*s[82] + s[83] - 118*s[84] + 
       32*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*((197*s[2])/6 + (187*s[3])/6 + (3869*s[4])/8 + 
       (216455*s[5])/528 + (18871*s[6])/22 + (5318677*s[7])/594 - 
       (2262793*s[8])/3564 - (1221679*s[9])/162 - (3549403*s[10])/1296 - 
       (93135133*s[11])/9504 - (98549633*s[12])/9504 - (9908803*s[13])/1584 - 
       (5503943*s[14])/4752 - (202879*s[15])/16 - (8259793*s[16])/528 - 
       (122220701*s[17])/9504 - (4621243*s[18])/3888 - (1012591*s[19])/486 - 
       (191442257*s[20])/10692 - (272636861*s[21])/42768 + 
       (100753931*s[22])/21384 + (24699241*s[23])/3168 + 
       (919084709*s[24])/85536 - (598730131*s[25])/48114 + 
       (2582602271*s[26])/384912 - (16*s[30])/3 + 8*s[31] - 7*s[32] + 
       (47*s[33])/4 - (68*s[34])/3 + (7*s[35])/3 - (497*s[36])/9 + 
       (881*s[37])/36 + (1271*s[38])/4 - (51569*s[39])/48 + 
       (173387*s[40])/144 - (44003*s[41])/48 + (201031*s[42])/144 + 
       (2019673*s[43])/1584 - (3787241*s[44])/3168 + (2433569*s[45])/1584 - 
       (2830643*s[46])/264 - (248201*s[47])/9504 + (7163401*s[48])/9504 - 
       (58022347*s[49])/9504 + (3452491*s[50])/396 + (7416311*s[51])/9504 + 
       (5125427*s[52])/9504 - (546935*s[53])/88 - (318413*s[54])/264 - 
       (126553939*s[55])/3168 - (83074793*s[56])/9504 + (484697*s[57])/1782 - 
       (1193445421*s[58])/85536 + (1328312077*s[59])/85536 + 
       (5406463267*s[60])/57024 - (1699414853*s[61])/384912 + 2*s[67] - 
       (34*s[68])/3 + (64*s[69])/3 + 2*s[71] - 2*s[72] - 30*s[73] + 
       (13*s[74])/6 - (13*s[75])/6 - (28*s[76])/3 - (43*s[77])/3 + 
       (52*s[78])/3 + (112*s[79])/3 - (53*s[80])/9 + 548*s[82] + 36*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      (31*s[2] - (323*s[3])/12 + (873*s[4])/2 + (180245*s[5])/528 + 
       (29011*s[6])/44 + (12455549*s[7])/1584 - (16457*s[8])/33 - 6658*s[9] - 
       (119885*s[10])/48 - (9232459*s[11])/1056 - (9865349*s[12])/1056 - 
       (8890663*s[13])/1584 - (17771*s[14])/22 - (265801*s[15])/24 - 
       (21858367*s[16])/1584 - (35087317*s[17])/3168 - (194111*s[18])/216 - 
       (901127*s[19])/432 - (74460899*s[20])/4752 - (12937571*s[21])/2376 + 
       (2214119*s[22])/528 + (19227595*s[23])/3168 + (10390153*s[24])/1056 - 
       (238103555*s[25])/21384 + (248770189*s[26])/42768 - s[30] + 10*s[31] - 
       (13*s[32])/6 + (63*s[33])/4 - 29*s[34] - 8*s[35] - (133*s[36])/3 + 
       28*s[37] + (1371*s[38])/4 - (47765*s[39])/48 + (17039*s[40])/16 - 
       (40871*s[41])/48 + (57541*s[42])/48 + (585911*s[43])/528 - 
       (378329*s[44])/352 + (748919*s[45])/528 - (854361*s[46])/88 - 
       (138707*s[47])/3168 + (2261779*s[48])/3168 - (17708227*s[49])/3168 + 
       (522631*s[50])/66 + (715081*s[51])/1056 + (1567961*s[52])/3168 - 
       (479821*s[53])/88 - (59255*s[54])/44 - (112047943*s[55])/3168 - 
       (24495041*s[56])/3168 + (2973767*s[57])/2376 - 
       (369576397*s[58])/28512 + (401153581*s[59])/28512 + 
       (1646341891*s[60])/19008 - (252934849*s[61])/64152 + 2*s[67] - 
       (31*s[68])/3 + (52*s[69])/3 + 2*s[70] + 2*s[71] - 4*s[72] - 27*s[73] + 
       2*s[74] - 2*s[75] - 30*s[76] - (31*s[77])/3 + 22*s[78] + 20*s[79] + 
       22*s[80] + 596*s[82] + 36*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w]*((-253*s[2])/12 + (23*s[3])/12 - 
       (11345*s[4])/16 - (112259*s[5])/264 - (97869*s[6])/88 - 
       (48119893*s[7])/4752 + (6219025*s[8])/7128 + (5510033*s[9])/648 + 
       (199439*s[10])/81 + (53677477*s[11])/4752 + (119045119*s[12])/9504 + 
       (24227869*s[13])/3168 + (6255017*s[14])/9504 + (1899461*s[15])/144 + 
       (5965665*s[16])/352 + (59644331*s[17])/4752 + (6928649*s[18])/3888 + 
       (2963555*s[19])/1944 + (52086514*s[20])/2673 + 
       (594978707*s[21])/85536 - (457139167*s[22])/85536 - 
       (10162511*s[23])/792 - (233438635*s[24])/21384 + 
       (11263344395*s[25])/769824 - (5988757415*s[26])/769824 + 
       (17*s[30])/12 - (19*s[31])/3 + (29*s[32])/6 - (437*s[33])/48 + 
       (295*s[34])/12 + (149*s[35])/6 + (2123*s[36])/36 - (1459*s[37])/36 - 
       (4813*s[38])/12 + (28055*s[39])/16 - (273851*s[40])/144 + 
       (24351*s[41])/16 - (372301*s[42])/144 - (191939*s[43])/144 + 
       (110467*s[44])/72 - (20107*s[45])/18 + (1579993*s[46])/144 - 
       (20068*s[47])/27 + (93413*s[48])/432 + (690043*s[49])/108 - 
       (611197*s[50])/72 - (767783*s[51])/432 - (609179*s[52])/432 + 
       (615035*s[53])/108 - (1945*s[54])/18 + (832193*s[55])/24 + 
       (632281*s[56])/72 - (1067093*s[57])/72 + (23472959*s[58])/1296 - 
       (11840359*s[59])/648 - (28426295*s[60])/324 + (99360971*s[61])/23328 + 
       (25*s[65])/12 + (25*s[66])/3 - (79*s[67])/6 - (19*s[68])/6 - 
       (157*s[69])/6 - (13*s[70])/6 - (31*s[71])/12 - (38*s[72])/3 + 
       14*s[73] + (27*s[74])/2 - (27*s[75])/2 - (17*s[76])/3 + 10*s[77] - 
       (121*s[78])/6 - (304*s[79])/3 + (299*s[80])/18 + 131*s[82] - s[83]/4 - 
       (75*s[84])/2 + 36*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - w]^2*((-49*s[2])/8 + (43*s[3])/16 - (11087*s[4])/96 - 
       (3491*s[5])/88 - (13955*s[6])/264 - (7775041*s[7])/6336 + 
       (315061*s[8])/2376 + (887855*s[9])/864 + (121673*s[10])/432 + 
       (4472735*s[11])/3168 + (10136303*s[12])/6336 + (2103949*s[13])/2112 - 
       (1716827*s[14])/6336 + (939715*s[15])/576 + (270869*s[16])/132 + 
       (2208425*s[17])/1584 + (396079*s[18])/2592 + (91273*s[19])/324 + 
       (60275351*s[20])/28512 + (41163295*s[21])/57024 - 
       (37748273*s[22])/57024 - (1319465*s[23])/704 - 
       (75626405*s[24])/57024 + (985578067*s[25])/513216 - 
       (469908775*s[26])/513216 + (3*s[30])/2 - (7*s[31])/4 + (17*s[32])/8 - 
       (29*s[33])/8 + (45*s[34])/4 + 11*s[35] + 26*s[36] - (151*s[37])/16 - 
       (569*s[38])/6 + (2929*s[39])/8 - (2871*s[40])/8 + (13775*s[41])/48 - 
       (51431*s[42])/96 - (60043*s[43])/264 + (150991*s[44])/528 - 
       (49745*s[45])/1056 + (1427267*s[46])/1056 - (3771*s[47])/22 + 
       (5338*s[48])/33 + (449727*s[49])/352 - (25959*s[50])/22 - 
       (373253*s[51])/1056 - (131059*s[52])/528 + (2304509*s[53])/3168 + 
       (33263*s[54])/88 + (12065393*s[55])/3168 + (1280023*s[56])/3168 - 
       (28870627*s[57])/9504 + (68476769*s[58])/28512 - 
       (37626925*s[59])/14256 - (11542501*s[60])/1056 + 
       (112574191*s[61])/513216 + s[65] + 4*s[66] - 6*s[67] - (3*s[68])/4 - 
       (51*s[69])/4 - (3*s[70])/4 - (3*s[71])/4 - (9*s[72])/2 + 6*s[73] + 
       (41*s[74])/8 - (41*s[75])/8 - (11*s[76])/2 + (17*s[77])/4 - 
       (27*s[78])/4 + (45*s[79])/2 - (599*s[80])/24 + (381*s[82])/2 + 
       39*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]*
      ((39*s[2])/2 + (275*s[3])/24 - (1783*s[4])/24 - (35425*s[5])/176 - 
       (32401*s[6])/528 - (10790905*s[7])/4752 + (199081*s[8])/792 + 
       (99671*s[9])/48 + (9157*s[10])/18 + (7291235*s[11])/3168 + 
       (1293503*s[12])/528 + (12198613*s[13])/9504 + (802217*s[14])/3168 + 
       (710555*s[15])/216 + (34712881*s[16])/9504 + (27650501*s[17])/9504 + 
       (805487*s[18])/1296 + (53509*s[19])/1296 + (8534939*s[20])/1782 + 
       (56488957*s[21])/28512 - (11653507*s[22])/9504 - 
       (35069021*s[23])/9504 - (5847871*s[24])/3168 + 
       (723831703*s[25])/256608 - (457470151*s[26])/256608 - (35*s[30])/12 - 
       2*s[31] - (14*s[32])/3 - s[33]/16 + (83*s[34])/12 + (29*s[35])/3 + 
       (503*s[36])/36 - (1651*s[37])/36 - (1541*s[38])/12 + (8263*s[39])/16 - 
       (69947*s[40])/144 + (15139*s[41])/48 - (29779*s[42])/36 - 
       (248401*s[43])/1584 + (429577*s[44])/1584 - (67693*s[45])/396 + 
       (3164879*s[46])/1584 - (2354681*s[47])/4752 + (1569893*s[48])/2376 + 
       (268637*s[49])/297 - (1194335*s[50])/792 - (2891995*s[51])/4752 - 
       (275501*s[52])/594 + (2667923*s[53])/2376 - (108511*s[54])/396 + 
       (5116715*s[55])/792 + (216353*s[56])/132 - (26165765*s[57])/4752 + 
       (3749270*s[58])/891 - (61405115*s[59])/14256 - 
       (192492319*s[60])/14256 + (19277749*s[61])/28512 + (13*s[65])/12 + 
       (13*s[66])/3 - (35*s[67])/6 - (73*s[68])/6 + (37*s[69])/6 + 
       (7*s[70])/6 - (19*s[71])/12 - (31*s[72])/3 - (61*s[73])/3 + 
       (47*s[74])/4 - (47*s[75])/4 - (7*s[76])/3 - (21*s[77])/2 + s[78]/6 - 
       (40*s[79])/3 - (355*s[80])/18 + 336*s[82] - s[83]/4 - (47*s[84])/2 + 
       40*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]*((-83*s[2])/6 + (523*s[3])/6 + (2359*s[4])/12 + 
       (2542*s[5])/33 + (8609*s[6])/33 + (2067053*s[7])/792 - 
       (72962*s[8])/297 - (56182*s[9])/27 - (43165*s[10])/54 - 
       (276142*s[11])/99 - (2360557*s[12])/792 - (145897*s[13])/88 - 
       (302003*s[14])/792 - (30703*s[15])/8 - (50805*s[16])/11 - 
       (377162*s[17])/99 - (29360*s[18])/81 - (206215*s[19])/324 - 
       (19308601*s[20])/3564 - (12375569*s[21])/7128 + (9273211*s[22])/7128 + 
       (686401*s[23])/264 + (23852749*s[24])/7128 - (234290057*s[25])/64152 + 
       (122556407*s[26])/64152 + (4*s[30])/3 - (32*s[31])/3 + (13*s[32])/3 - 
       (59*s[33])/12 + (76*s[34])/3 - (4*s[35])/3 + (553*s[36])/18 - 
       (577*s[37])/12 + 59*s[38] - (2603*s[39])/8 + (28679*s[40])/72 - 
       (9145*s[41])/24 + (34609*s[42])/72 + (273637*s[43])/792 - 
       (634349*s[44])/1584 + (95947*s[45])/264 - (1255445*s[46])/396 + 
       (143035*s[47])/4752 + (965197*s[48])/4752 - (8099317*s[49])/4752 + 
       (265037*s[50])/99 + (1945721*s[51])/4752 + (1066475*s[52])/4752 - 
       (2232379*s[53])/1188 + (32729*s[54])/198 - (18709651*s[55])/1584 - 
       (11959291*s[56])/4752 - (571616*s[57])/891 - (161212691*s[58])/42768 + 
       (172141463*s[59])/42768 + (811582729*s[60])/28512 - 
       (254542771*s[61])/192456 - (10*s[69])/3 + 2*s[70] - s[71]/2 + 
       6*s[72] + 14*s[73] - (13*s[74])/6 + (13*s[75])/6 + (14*s[76])/3 - 
       (2*s[77])/3 - (76*s[78])/3 + (112*s[79])/3 - (61*s[80])/6 + 
       132*s[82] - 6*s[83] + 24*s[84] + 40*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      (-34*s[2] + (341*s[3])/4 + (8035*s[4])/24 + (28987*s[5])/132 + 
       (36291*s[6])/88 + (21719453*s[7])/4752 - (3677915*s[8])/7128 - 
       (309860*s[9])/81 - (161597*s[10])/162 - (24242489*s[11])/4752 - 
       (14015987*s[12])/2376 - (603607*s[13])/176 - (596183*s[14])/4752 - 
       (90805*s[15])/16 - (741239*s[16])/99 - (23618803*s[17])/4752 - 
       (1055887*s[18])/972 - (775495*s[19])/1944 - (193609417*s[20])/21384 - 
       (138703193*s[21])/42768 + (102233665*s[22])/42768 + 
       (1896373*s[23])/264 + (98749421*s[24])/21384 - 
       (1289747917*s[25])/192456 + (694861759*s[26])/192456 - (35*s[31])/3 + 
       (15*s[32])/2 - (113*s[33])/12 + (41*s[34])/3 - 23*s[35] - 
       (14*s[36])/3 + (116*s[37])/9 + (521*s[38])/3 - (10213*s[39])/12 + 
       (10733*s[40])/12 - (8237*s[41])/12 + (2529*s[42])/2 + 
       (69431*s[43])/132 - (97091*s[44])/132 + (101161*s[45])/198 - 
       (2001305*s[46])/396 + (187703*s[47])/396 - (44105*s[48])/198 - 
       (1071815*s[49])/396 + (123436*s[50])/33 + (19119*s[51])/22 + 
       (70258*s[52])/99 - (729577*s[53])/297 + (32119*s[54])/99 - 
       (670959*s[55])/44 - (5020313*s[56])/1188 + (7596221*s[57])/891 - 
       (23998240*s[58])/2673 + (92116273*s[59])/10692 + 
       (10447495*s[60])/264 - (397167491*s[61])/192456 + 6*s[68] - 
       (43*s[69])/3 + 2*s[70] + 4*s[71] + 6*s[72] + 43*s[73] - (17*s[74])/2 + 
       (17*s[75])/2 + (46*s[76])/3 + (19*s[77])/3 - 18*s[78] + (8*s[79])/3 + 
       (70*s[80])/9 + 204*s[82] - 6*s[83] + 24*s[84] + 40*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      (16*s[2] + (377*s[3])/6 + (5605*s[4])/6 + (13659*s[5])/22 + 
       (131311*s[6])/88 + (32771659*s[7])/2376 - (8983643*s[8])/7128 - 
       (7501021*s[9])/648 - (261988*s[10])/81 - (72305291*s[11])/4752 - 
       (80104063*s[12])/4752 - (899815*s[13])/88 - (2542567*s[14])/2376 - 
       (1311983*s[15])/72 - (18153595*s[16])/792 - (81919495*s[17])/4752 - 
       (4740875*s[18])/1944 - (3915277*s[19])/1944 - (71281070*s[20])/2673 - 
       (204671557*s[21])/21384 + (77110267*s[22])/10692 + 
       (3101381*s[23])/176 + (631355971*s[24])/42768 - 
       (7591650809*s[25])/384912 + (4081065629*s[26])/384912 + 2*s[30] + 
       (10*s[31])/3 + (16*s[32])/3 + (83*s[33])/6 - (40*s[34])/3 - 12*s[35] - 
       (98*s[36])/3 + (893*s[37])/9 + (3481*s[38])/6 - (4389*s[39])/2 + 
       (14477*s[40])/6 - (5425*s[41])/3 + (18829*s[42])/6 + 
       (118981*s[43])/66 - (166327*s[44])/88 + (212462*s[45])/99 - 
       (1614596*s[46])/99 + (122107*s[47])/132 - (29627*s[48])/132 - 
       (355505*s[49])/44 + (811997*s[50])/66 + (427865*s[51])/198 + 
       (484307*s[52])/264 - (2582956*s[53])/297 + (307765*s[54])/396 - 
       (21919199*s[55])/396 - (4363736*s[56])/297 + (14649410*s[57])/891 - 
       (140046317*s[58])/5346 + (284240887*s[59])/10692 + 
       (78214525*s[60])/594 - (1355415947*s[61])/192456 + (5*s[68])/3 - 
       6*s[69] - 2*s[70] + 2*s[71] + 8*s[72] + 15*s[73] - 8*s[74] + 8*s[75] - 
       (44*s[76])/3 + 3*s[77] + 10*s[78] + (476*s[79])/3 - (341*s[80])/9 - 
       49*s[82] - 6*s[83] + 60*s[84] + 40*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      (16*s[2] + (190*s[3])/3 + (12373*s[4])/12 + (6746*s[5])/11 + 
       (463417*s[6])/264 + (17973563*s[7])/1188 - (9540359*s[8])/7128 - 
       (8211271*s[9])/648 - (287032*s[10])/81 - (80576897*s[11])/4752 - 
       (90572437*s[12])/4752 - (3080779*s[13])/264 - (2704285*s[14])/2376 - 
       (171754*s[15])/9 - (4942807*s[16])/198 - (85545277*s[17])/4752 - 
       (5572091*s[18])/1944 - (3855703*s[19])/1944 - (77927789*s[20])/2673 - 
       (222343117*s[21])/21384 + (85096027*s[22])/10692 + 
       (10336531*s[23])/528 + (687762991*s[24])/42768 - 
       (8447802857*s[25])/384912 + (4503667877*s[26])/384912 + 4*s[30] + 
       (16*s[31])/3 + s[32]/3 + (28*s[33])/3 - (49*s[34])/3 - 37*s[35] - 
       (69*s[36])/2 + (3293*s[37])/36 + 612*s[38] - (58573*s[39])/24 + 
       (65129*s[40])/24 - (49775*s[41])/24 + (83899*s[42])/24 + 
       (521771*s[43])/264 - (379279*s[44])/176 + (1708099*s[45])/792 - 
       (3457249*s[46])/198 + (1563127*s[47])/1584 - (33875*s[48])/1584 - 
       (14160997*s[49])/1584 + (866177*s[50])/66 + (1284143*s[51])/528 + 
       (3281687*s[52])/1584 - (5288993*s[53])/594 + (169859*s[54])/198 - 
       (29683103*s[55])/528 - (73617077*s[56])/4752 + (38021815*s[57])/1782 - 
       (1235809249*s[58])/42768 + (1218986305*s[59])/42768 + 
       (1331666333*s[60])/9504 - (720003547*s[61])/96228 - s[68]/3 + s[69] - 
       2*s[70] + s[71] + 8*s[72] + 4*s[73] - (17*s[74])/2 + (17*s[75])/2 - 
       (38*s[76])/3 - s[77] + 12*s[78] + (596*s[79])/3 - (871*s[80])/18 + 
       71*s[82] - 6*s[83] + 60*s[84] + 40*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - w]*(-s[2]/12 + (241*s[3])/3 + 
       (131*s[4])/2 - (16849*s[5])/528 - (39877*s[6])/1056 + 
       (366757*s[7])/792 - (1323403*s[8])/28512 - (681623*s[9])/2592 - 
       (415823*s[10])/1296 - (10039903*s[11])/19008 - 
       (10809083*s[12])/19008 - (2825321*s[13])/9504 + (1328953*s[14])/9504 - 
       (99401*s[15])/108 - (625469*s[16])/594 - (17674243*s[17])/19008 + 
       (1387493*s[18])/7776 - (4408607*s[19])/7776 - (40703683*s[20])/42768 - 
       (3834101*s[21])/85536 + (4279591*s[22])/21384 - 
       (8204155*s[23])/19008 + (217886969*s[24])/171072 - 
       (1294948621*s[25])/1539648 + (316340029*s[26])/1539648 - 4*s[30] - 
       (7*s[31])/2 - (4*s[32])/3 - (21*s[33])/4 + 15*s[34] + (20*s[35])/3 + 
       (223*s[36])/18 + (38*s[37])/9 - (47*s[38])/12 + (10669*s[39])/48 - 
       (32663*s[40])/144 + (5335*s[41])/24 - (60451*s[42])/144 + 
       (5975*s[43])/1584 + (169993*s[44])/1584 + (175073*s[45])/1584 + 
       (35177*s[46])/99 - (606319*s[47])/2376 + (1737331*s[48])/4752 + 
       (128957*s[49])/1188 - (113233*s[50])/396 - (1686325*s[51])/4752 - 
       (155453*s[52])/594 + (167821*s[53])/1188 - (286589*s[54])/792 + 
       (33197*s[55])/396 + (530419*s[56])/1584 - (3016603*s[57])/792 + 
       (20231401*s[58])/14256 - (16282171*s[59])/14256 + 
       (168911*s[60])/14256 + (1996303*s[61])/16038 + (5*s[65])/3 + 
       (20*s[66])/3 - 10*s[67] - (7*s[68])/6 - (97*s[69])/6 - (7*s[70])/6 - 
       (5*s[71])/4 - (23*s[72])/3 + (26*s[73])/3 + (41*s[74])/6 - 
       (41*s[75])/6 + s[76]/3 + (19*s[77])/6 - (65*s[78])/6 - 46*s[79] + 
       (155*s[80])/18 + (1009*s[82])/3 + (122*s[85])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-1727*s[2])/12 + (3601*s[3])/72 - (219263*s[4])/72 - 
       (1029401*s[5])/396 - (888935*s[6])/176 - (192622715*s[7])/3564 + 
       (87750119*s[8])/21384 + (178849379*s[9])/3888 + 
       (59791453*s[10])/3888 + (1688517439*s[11])/28512 + 
       (1819998023*s[12])/28512 + (19967165*s[13])/528 + 
       (47970457*s[14])/7128 + (10691345*s[15])/144 + 
       (110313503*s[16])/1188 + (2093141843*s[17])/28512 + 
       (6488158*s[18])/729 + (115620275*s[19])/11664 + 
       (3487939067*s[20])/32076 + (1254550151*s[21])/32076 - 
       (3677825863*s[22])/128304 - (179355725*s[23])/3168 - 
       (15710582237*s[24])/256608 + (86645371223*s[25])/1154736 - 
       (47212704893*s[26])/1154736 + (49*s[30])/12 - (845*s[31])/18 + 
       (787*s[32])/18 - (5125*s[33])/144 + (3817*s[34])/36 + (208*s[35])/3 + 
       (4789*s[36])/18 - (44371*s[37])/216 - (22333*s[38])/12 + 
       (30365*s[39])/4 - (294847*s[40])/36 + (233159*s[41])/36 - 
       (1575955*s[42])/144 - (2407333*s[43])/396 + (2750041*s[44])/396 - 
       (26812223*s[45])/4752 + (242895737*s[46])/4752 - 
       (12948967*s[47])/4752 + (787613*s[48])/4752 + (8989795*s[49])/297 - 
       (32139083*s[50])/792 - (8706487*s[51])/1188 - (6470807*s[52])/1188 + 
       (392639263*s[53])/14256 + (5297725*s[54])/2376 + 
       (50343218*s[55])/297 + (71190463*s[56])/1782 - 
       (2239117247*s[57])/42768 + (638278081*s[58])/8019 - 
       (10595254189*s[59])/128304 - (12055617287*s[60])/28512 + 
       (45355339415*s[61])/2309472 + (101*s[65])/12 + (95*s[66])/3 - 
       (152*s[67])/3 - (143*s[68])/9 - (293*s[69])/3 - 10*s[70] - 
       (205*s[71])/12 - (145*s[72])/3 + (340*s[73])/3 + 57*s[74] - 57*s[75] + 
       (407*s[76])/9 + (109*s[77])/3 - (641*s[78])/6 - (4190*s[79])/9 + 
       (5267*s[80])/108 - (4024*s[82])/3 - (99*s[83])/4 - (479*s[84])/2 + 
       (124*s[85])/3)*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]*((82*s[2])/3 + (263*s[3])/12 + (61*s[4])/4 - 
       (12413*s[5])/528 + (38351*s[6])/132 + (3613979*s[7])/4752 + 
       (89471*s[8])/891 - (343423*s[9])/648 - (692647*s[10])/1296 - 
       (7926253*s[11])/9504 - (6244259*s[12])/9504 - (195925*s[13])/396 - 
       (838709*s[14])/1188 - (9513*s[15])/8 - (864715*s[16])/528 - 
       (17969681*s[17])/9504 + (191807*s[18])/3888 - (113246*s[19])/243 - 
       (37355701*s[20])/21384 - (5965607*s[21])/10692 + 
       (15088303*s[22])/42768 - (4786409*s[23])/3168 + 
       (133660607*s[24])/85536 - (347139083*s[25])/384912 + 
       (101576413*s[26])/192456 + (17*s[30])/3 - 9*s[32] + (28*s[34])/3 + 
       (67*s[35])/3 + (202*s[36])/9 - (3115*s[37])/36 - (595*s[38])/12 + 
       (4795*s[39])/48 - (2641*s[40])/144 - (4019*s[41])/48 - 
       (25589*s[42])/144 + (27767*s[43])/144 - (39559*s[44])/288 + 
       (27787*s[45])/144 - (10997*s[46])/8 - (320071*s[47])/864 + 
       (619751*s[48])/864 - (801173*s[49])/864 + (47747*s[50])/36 - 
       (120263*s[51])/864 - (160259*s[52])/864 - (7115*s[53])/8 - 
       (2137*s[54])/8 - (189061*s[55])/32 - (914767*s[56])/864 - 
       (801899*s[57])/162 - (826955*s[58])/7776 + (3716891*s[59])/7776 + 
       (77568461*s[60])/5184 - (24575119*s[61])/34992 - (28*s[68])/3 + 
       (58*s[69])/3 - 4*s[71] - 24*s[73] + (14*s[74])/3 - (14*s[75])/3 + 
       (17*s[76])/3 - (43*s[77])/3 - (20*s[78])/3 + (76*s[79])/3 - 
       (356*s[80])/9 + (543*s[82])/2 + 44*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      (-27*s[2] + (211*s[3])/12 + (427*s[4])/6 + (123025*s[5])/528 + 
       (55031*s[6])/264 + (4016885*s[7])/1584 - (616445*s[8])/2376 - 
       (487831*s[9])/216 - (245701*s[10])/432 - (8684947*s[11])/3168 - 
       (9606413*s[12])/3168 - (924601*s[13])/528 - (41333*s[14])/99 - 
       (236903*s[15])/72 - (2201891*s[16])/528 - (9795191*s[17])/3168 - 
       (50749*s[18])/81 - (168443*s[19])/1296 - (76754129*s[20])/14256 - 
       (15184087*s[21])/7128 + (19467715*s[22])/14256 + (1151657*s[23])/352 + 
       (70513841*s[24])/28512 - (439772219*s[25])/128304 + 
       (16325951*s[26])/8019 - 6*s[30] + (37*s[32])/3 - 6*s[34] - 12*s[35] - 
       (82*s[36])/3 + (353*s[37])/6 + (257*s[38])/4 - (7249*s[39])/48 + 
       (5825*s[40])/48 - (1655*s[41])/48 + (2915*s[42])/16 - 
       (1781*s[43])/528 - (88859*s[44])/1056 + (183583*s[45])/528 - 
       (386401*s[46])/264 + (664589*s[47])/3168 - (908389*s[48])/3168 - 
       (317939*s[49])/3168 + (64243*s[50])/66 + (178705*s[51])/1056 + 
       (594817*s[52])/3168 - (555517*s[53])/792 + (2249*s[54])/44 - 
       (16937471*s[55])/3168 - (1964579*s[56])/1056 + (2009057*s[57])/792 - 
       (29494319*s[58])/9504 + (25921199*s[59])/9504 + 
       (211352219*s[60])/19008 - (2061599*s[61])/2376 + (23*s[68])/3 - 
       (44*s[69])/3 + 4*s[71] + 25*s[73] - 3*s[74] + 3*s[75] - 4*s[76] + 
       (35*s[77])/3 - 32*s[79] + (124*s[80])/3 + (543*s[82])/2 + 44*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u]*
      (-s[2]/4 - (1949*s[3])/72 - (20353*s[4])/144 - (202595*s[5])/1584 - 
       (4172*s[6])/33 - (6499451*s[7])/3564 + (10855711*s[8])/42768 + 
       (759361*s[9])/486 + (438905*s[10])/1944 + (56668549*s[11])/28512 + 
       (16328099*s[12])/7128 + (4213541*s[13])/3168 - (3852245*s[14])/28512 + 
       (21376*s[15])/9 + (27602725*s[16])/9504 + (56299439*s[17])/28512 + 
       (5637499*s[18])/11664 + (8563*s[19])/1458 + (443229833*s[20])/128304 + 
       (356680867*s[21])/256608 - (247252127*s[22])/256608 - 
       (3995813*s[23])/1056 - (374040737*s[24])/256608 + 
       (1513183921*s[25])/577368 - (862686295*s[26])/577368 + (7*s[30])/3 - 
       (35*s[31])/18 - (229*s[32])/36 - (145*s[33])/36 + (233*s[34])/18 + 
       (46*s[35])/3 + (631*s[36])/18 - (7777*s[37])/216 - (467*s[38])/6 + 
       (18989*s[39])/48 - (52375*s[40])/144 + (33491*s[41])/144 - 
       (46793*s[42])/72 - (22945*s[43])/1584 + (222601*s[44])/1584 + 
       (179537*s[45])/2376 + (1916759*s[46])/4752 - (2359939*s[47])/4752 + 
       (1886473*s[48])/2376 + (834589*s[49])/4752 - (36811*s[50])/396 - 
       (532333*s[51])/1188 - (1030009*s[52])/2376 + (657683*s[53])/7128 - 
       (483097*s[54])/1188 - (301957*s[55])/1188 + (5592533*s[56])/14256 - 
       (307756253*s[57])/42768 + (345218827*s[58])/128304 - 
       (155413289*s[59])/64152 + (36508885*s[60])/28512 + 
       (89644781*s[61])/2309472 + (5*s[65])/3 + (20*s[66])/3 - 10*s[67] - 
       (211*s[68])/18 - (11*s[69])/2 - (5*s[70])/6 - (23*s[71])/6 - 
       (25*s[72])/3 - (14*s[73])/3 + (101*s[74])/12 - (101*s[75])/12 - 
       (64*s[76])/9 - (31*s[77])/6 - (55*s[78])/6 + (211*s[79])/9 - 
       (2671*s[80])/108 + (2155*s[82])/6 + (142*s[85])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - v]*Omega2[v, w, u]*(-56*s[2] + (58*s[3])/3 - (182*s[4])/3 + 
       (9656*s[5])/33 + (4795*s[6])/11 + (858403*s[7])/594 - 
       (166018*s[8])/891 - (116318*s[9])/81 + (22511*s[10])/81 - 
       (485783*s[11])/297 - (1267655*s[12])/594 - (86179*s[13])/66 - 
       (440245*s[14])/594 - (4373*s[15])/6 - (150860*s[16])/99 - 
       (110641*s[17])/297 - (290881*s[18])/243 + (302686*s[19])/243 - 
       (8464571*s[20])/2673 - (10821931*s[21])/5346 + (4209257*s[22])/5346 + 
       (340213*s[23])/66 - (1636735*s[24])/5346 - (81802417*s[25])/48114 + 
       (82303465*s[26])/48114 - (8*s[31])/3 + (52*s[32])/3 + (4*s[33])/3 + 
       (8*s[34])/3 - 12*s[35] + (56*s[36])/3 + (572*s[37])/9 + 110*s[38] - 
       684*s[39] + 680*s[40] - (1175*s[41])/3 + (3551*s[42])/3 - 
       (2020*s[43])/33 - (16735*s[44])/66 - (6442*s[45])/99 - 
       (105344*s[46])/99 + (33236*s[47])/33 - (38506*s[48])/33 + 
       (4186*s[49])/11 - (2236*s[50])/33 + (97883*s[51])/99 + 
       (63133*s[52])/66 + (49499*s[53])/297 + (198775*s[54])/99 + 
       (201925*s[55])/99 - (651218*s[56])/297 + (14959640*s[57])/891 - 
       (17593060*s[58])/2673 + (12509986*s[59])/2673 - (877513*s[60])/297 - 
       (22456378*s[61])/24057 - 4*s[65] - 16*s[66] + 24*s[67] + 
       (92*s[68])/3 + 4*s[71] + 24*s[72] + 48*s[73] - 18*s[74] + 18*s[75] + 
       (112*s[76])/3 + 12*s[77] + (32*s[79])/3 - (416*s[80])/9 - 432*s[82] + 
       48*s[85])*\[Zeta][2] + HPL[{1}, 1 - w]*Omega2[w, u, v]*
      (-59*s[2] - 12*s[3] - 69*s[4] + (7335*s[5])/22 + (3964*s[6])/11 + 
       (18827*s[7])/11 - (49052*s[8])/297 - (93665*s[9])/54 + 
       (3835*s[10])/27 - (757363*s[11])/396 - (943925*s[12])/396 - 
       (140968*s[13])/99 - (73687*s[14])/99 - (22609*s[15])/18 - 
       (393719*s[16])/198 - (324187*s[17])/396 - (194587*s[18])/162 + 
       (89804*s[19])/81 - (6708773*s[20])/1782 - (2033809*s[21])/891 + 
       (850181*s[22])/891 + (2015927*s[23])/396 + (380489*s[24])/3564 - 
       (31965947*s[25])/16038 + (30309137*s[26])/16038 + 2*s[31] + 23*s[32] + 
       3*s[33] - 2*s[34] - 12*s[35] + 20*s[36] + 58*s[37] + 178*s[38] - 
       824*s[39] + 808*s[40] - 513*s[41] + 1331*s[42] + (1152*s[43])/11 - 
       (8577*s[44])/22 + (1264*s[45])/11 - (25562*s[46])/11 + 
       (10878*s[47])/11 - (11848*s[48])/11 - (5442*s[49])/11 + 
       (12028*s[50])/11 + (35969*s[51])/33 + (22151*s[52])/22 - 
       (20017*s[53])/33 + (18157*s[54])/11 - (32631*s[55])/11 - 
       (95228*s[56])/33 + (1572254*s[57])/99 - (2341204*s[58])/297 + 
       (1878532*s[59])/297 + (101430*s[60])/11 - (3612469*s[61])/2673 - 
       4*s[65] - 16*s[66] + 24*s[67] + 32*s[68] + 4*s[71] + 24*s[72] + 
       48*s[73] - 18*s[74] + 18*s[75] + 28*s[76] + 12*s[77] - 32*s[80] - 
       432*s[82] + 48*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*Omega2[u, v, w]*
      (-56*s[2] + (59*s[3])/3 - (277*s[4])/3 + (9451*s[5])/33 + 
       (3807*s[6])/11 + (359284*s[7])/297 - (129068*s[8])/891 - 
       (101803*s[9])/81 + (18220*s[10])/81 - (785057*s[11])/594 - 
       (992647*s[12])/594 - (100307*s[13])/99 - (218728*s[14])/297 - 
       (6157*s[15])/9 - (13643*s[16])/11 - (239035*s[17])/594 - 
       (255989*s[18])/243 + (267476*s[19])/243 - (7480402*s[20])/2673 - 
       (5017282*s[21])/2673 + (1779059*s[22])/2673 + (816977*s[23])/198 - 
       (1891493*s[24])/5346 - (61188893*s[25])/48114 + 
       (70842275*s[26])/48114 + 4*s[30] - (4*s[31])/3 + (56*s[32])/3 + 
       (2*s[33])/3 + (4*s[34])/3 - 6*s[35] - (11*s[36])/3 + (598*s[37])/9 + 
       132*s[38] - (2497*s[39])/4 + (2325*s[40])/4 - (3811*s[41])/12 + 
       (12571*s[42])/12 - (9995*s[43])/132 - (48371*s[44])/264 - 
       (6763*s[45])/198 - (349951*s[46])/396 + (83431*s[47])/88 - 
       (101039*s[48])/88 + (105185*s[49])/264 - (2924*s[50])/33 + 
       (697289*s[51])/792 + (231235*s[52])/264 + (204709*s[53])/1188 + 
       (162188*s[54])/99 + (1509823*s[55])/792 - (4121285*s[56])/2376 + 
       (26457251*s[57])/1782 - (124076119*s[58])/21384 + 
       (88101265*s[59])/21384 - (13878905*s[60])/4752 - 
       (143426017*s[61])/192456 - 4*s[65] - 16*s[66] + 24*s[67] + 
       (106*s[68])/3 - 2*s[69] + 4*s[71] + 24*s[72] + 48*s[73] - 18*s[74] + 
       18*s[75] + (92*s[76])/3 + 18*s[77] + 2*s[78] - (68*s[79])/3 - 
       (70*s[80])/9 - 432*s[82] + 48*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*((-41*s[2])/8 + (203*s[3])/12 + 
       (25*s[4])/4 + (3037*s[5])/66 + (1598*s[6])/11 + (208588*s[7])/297 - 
       (521387*s[8])/14256 - (195643*s[9])/324 - (255245*s[10])/1296 - 
       (14076145*s[11])/19008 - (1883581*s[12])/2376 - (946279*s[13])/2112 - 
       (6783115*s[14])/19008 - (253243*s[15])/288 - (7230919*s[16])/6336 - 
       (18025421*s[17])/19008 - (956657*s[18])/3888 + (66301*s[19])/1944 - 
       (69382447*s[20])/42768 - (115012279*s[21])/171072 + 
       (60636347*s[22])/171072 + (1289039*s[23])/2112 + 
       (114337055*s[24])/171072 - (1280912227*s[25])/1539648 + 
       (915881929*s[26])/1539648 + s[30] - s[31]/12 + (8*s[32])/3 - 
       (11*s[33])/24 + (23*s[34])/6 + 7*s[35] + (155*s[36])/12 + 
       (215*s[37])/72 + (35*s[38])/24 + (4379*s[39])/48 - (1145*s[40])/16 + 
       (1999*s[41])/24 - (17783*s[42])/96 + (18047*s[43])/528 + 
       (47755*s[44])/1056 + (591763*s[45])/1584 - (975443*s[46])/792 - 
       (115147*s[47])/1056 + (231155*s[48])/1056 + (49405*s[49])/528 + 
       (53503*s[50])/66 - (81023*s[51])/792 - (32179*s[52])/1056 - 
       (6359395*s[53])/9504 + (305861*s[54])/1584 - (1878021*s[55])/352 - 
       (555151*s[56])/297 - (20789915*s[57])/14256 - (132202717*s[58])/
        85536 + (29394643*s[59])/21384 + (100181387*s[60])/9504 - 
       (1472677199*s[61])/1539648 + s[65] + 4*s[66] - 6*s[67] - 
       (23*s[68])/12 - (51*s[69])/4 - s[70]/4 - (15*s[71])/8 - (11*s[72])/2 + 
       9*s[73] + 5*s[74] - 5*s[75] - (53*s[76])/6 + (11*s[77])/4 - 
       (11*s[78])/4 + (31*s[79])/3 - (37*s[80])/9 + 186*s[82] + 49*s[85])*
      \[Zeta][2] + Ot[u, v, w]*(13*s[2] - (107*s[3])/6 - (4363*s[4])/12 - 
       (1549*s[5])/3 - (2685*s[6])/4 - (1600151*s[7])/216 + 
       (216521*s[8])/324 + (520265*s[9])/81 + (140839*s[10])/81 + 
       (1756427*s[11])/216 + (240299*s[12])/27 + (378779*s[13])/72 + 
       (157187*s[14])/216 + (712301*s[15])/72 + (445691*s[16])/36 + 
       (2028925*s[17])/216 + (777791*s[18])/486 + (743525*s[19])/972 + 
       (14458561*s[20])/972 + (11301845*s[21])/1944 - (7698217*s[22])/1944 - 
       (361847*s[23])/36 - (7261295*s[24])/972 + (89474053*s[25])/8748 - 
       (51404359*s[26])/8748 + 4*s[30] - (16*s[31])/3 - (13*s[32])/3 - 
       (28*s[33])/3 + (88*s[34])/3 + 38*s[35] + 66*s[36] - (1237*s[37])/18 - 
       328*s[38] + (3321*s[39])/2 - (9979*s[40])/6 + (7531*s[41])/6 - 
       (5171*s[42])/2 - (17043*s[43])/22 + (54069*s[44])/44 - 
       (98375*s[45])/396 + (2490899*s[46])/396 - (117563*s[47])/99 + 
       (232385*s[48])/198 + (440249*s[49])/99 - (53365*s[50])/11 - 
       (116539*s[51])/66 - (526573*s[52])/396 + (3730711*s[53])/1188 - 
       (16282*s[54])/99 + (1655195*s[55])/99 + (2350699*s[56])/594 - 
       (16363148*s[57])/891 + (137472385*s[58])/10692 - 
       (68226041*s[59])/5346 - (35841799*s[60])/792 + 
       (369478559*s[61])/192456 + 6*s[65] + 24*s[66] - 36*s[67] - 
       (80*s[68])/3 - 40*s[69] - 2*s[70] - 10*s[71] - 32*s[72] - 16*s[73] + 
       28*s[74] - 28*s[75] - (112*s[76])/3 + 2*s[77] - 22*s[78] + 
       (100*s[79])/3 - (163*s[80])/9 + 316*s[82] + 56*s[85])*\[Zeta][2] + 
     Qep[v, w, u]*((-2144*s[2])/3 + (32*s[3])/3 - 3952*s[4] - 
       (36176*s[5])/33 - (111904*s[6])/33 - (1727392*s[7])/33 + 
       (2891744*s[8])/891 + (3463168*s[9])/81 + (1620176*s[10])/81 + 
       (16944484*s[11])/297 + (17136320*s[12])/297 + (10259500*s[13])/297 + 
       (828844*s[14])/297 + (2228216*s[15])/27 + (29187460*s[16])/297 + 
       (25548676*s[17])/297 + (271904*s[18])/243 + (5178304*s[19])/243 + 
       (274588096*s[20])/2673 + (83593468*s[21])/2673 - 
       (73417196*s[22])/2673 - (7620380*s[23])/297 - (198221036*s[24])/2673 + 
       (1798507780*s[25])/24057 - (853328428*s[26])/24057 - 64*s[31] + 
       (640*s[32])/3 - 96*s[33] + 256*s[34] - (128*s[35])/3 + 
       (6592*s[36])/9 - (512*s[37])/9 - (4000*s[38])/3 + (4064*s[39])/3 - 
       (18976*s[40])/9 + (7312*s[41])/3 + (8392*s[42])/9 - 
       (887456*s[43])/99 + (503480*s[44])/99 - (1321136*s[45])/99 + 
       (6857296*s[46])/99 + (2375144*s[47])/297 - (3999928*s[48])/297 + 
       (11842528*s[49])/297 - (5991872*s[50])/99 + (970912*s[51])/297 + 
       (980488*s[52])/297 + (13463624*s[53])/297 + (2148112*s[54])/99 + 
       (30193720*s[55])/99 + (5386160*s[56])/99 + (11511376*s[57])/99 + 
       (50950760*s[58])/891 - (70774928*s[59])/891 - (613809344*s[60])/891 + 
       (223852516*s[61])/8019 - (128*s[65])/3 - (512*s[66])/3 + 256*s[67] + 
       (1088*s[68])/3 - (64*s[69])/3 - (64*s[70])/3 + 32*s[71] + 
       (896*s[72])/3 + (1792*s[73])/3 - (640*s[74])/3 + (640*s[75])/3 + 
       (1664*s[76])/3 + (448*s[77])/3 - (704*s[78])/3 - (6592*s[80])/9 - 
       (21376*s[82])/3 + (256*s[85])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*((-493*s[2])/24 + (579*s[3])/16 - 
       (20531*s[4])/96 - (9005*s[5])/88 - (137945*s[6])/1056 - 
       (54515563*s[7])/19008 + (2418079*s[8])/9504 + (1050847*s[9])/432 + 
       (93485*s[10])/108 + (19754003*s[11])/6336 + (2608753*s[12])/792 + 
       (37092035*s[13])/19008 - (176845*s[14])/6336 + (7369381*s[15])/1728 + 
       (24076829*s[16])/4752 + (77696983*s[17])/19008 + (322891*s[18])/1296 + 
       (2051269*s[19])/2592 + (157050967*s[20])/28512 + 
       (34301059*s[21])/19008 - (88121801*s[22])/57024 - 
       (13996351*s[23])/4752 - (24913855*s[24])/7128 + 
       (39046679*s[25])/9504 - (19213717*s[26])/9504 + (11*s[30])/6 - 
       4*s[31] + (17*s[32])/2 - (133*s[33])/16 + (56*s[34])/3 + 
       (179*s[35])/12 + (1241*s[36])/36 + (151*s[37])/18 - (433*s[38])/4 + 
       (4205*s[39])/6 - (25991*s[40])/36 + (15481*s[41])/24 - 
       (161827*s[42])/144 - (40873*s[43])/99 + (478169*s[44])/792 + 
       (37567*s[45])/198 + (806105*s[46])/396 - (1619273*s[47])/4752 + 
       (1650763*s[48])/4752 + (2996309*s[49])/1188 - (1594259*s[50])/792 - 
       (421067*s[51])/594 - (945359*s[52])/2376 + (5940667*s[53])/4752 + 
       (389179*s[54])/792 + (553514*s[55])/99 + (19739*s[56])/396 - 
       (22144261*s[57])/4752 + (7463105*s[58])/2376 - (6175253*s[59])/1584 - 
       (59884921*s[60])/3564 - (10495915*s[61])/256608 + (25*s[65])/12 + 
       (25*s[66])/3 - (71*s[67])/6 - (7*s[68])/6 - (175*s[69])/6 + 
       (2*s[70])/3 - (10*s[71])/3 - (77*s[72])/6 + (133*s[73])/6 + 
       (101*s[74])/8 - (101*s[75])/8 - (31*s[76])/3 + (89*s[77])/12 - 
       (59*s[78])/6 - (82*s[79])/3 - (25*s[80])/18 + 230*s[82] - s[83]/4 - 
       (47*s[84])/2 + 92*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*((-103*s[2])/12 + (275*s[3])/36 + 
       (5671*s[4])/72 + (515881*s[5])/1584 + (94133*s[6])/176 + 
       (119528195*s[7])/28512 - (2639357*s[8])/10692 - (7131797*s[9])/1944 - 
       (2540233*s[10])/1944 - (124445549*s[11])/28512 - (3939722*s[12])/891 - 
       (24031375*s[13])/9504 - (44824913*s[14])/28512 - (5202989*s[15])/864 - 
       (1284433*s[16])/176 - (183354217*s[17])/28512 - 
       (11033873*s[18])/11664 - (5023195*s[19])/11664 - 
       (300840325*s[20])/32076 - (966657611*s[21])/256608 + 
       (563146099*s[22])/256608 + (7806539*s[23])/2376 + 
       (590387213*s[24])/128304 - (11790791699*s[25])/2309472 + 
       (7711054997*s[26])/2309472 + (10*s[30])/3 + (49*s[31])/18 + 
       (43*s[32])/18 - s[33]/9 + (16*s[34])/9 + (15*s[35])/2 - 
       (73*s[36])/18 + (3583*s[37])/108 + (595*s[38])/12 + (1751*s[39])/16 - 
       (1103*s[40])/16 + (11777*s[41])/144 - (2918*s[42])/9 + 
       (424807*s[43])/1584 - (10685*s[44])/198 + (5452621*s[45])/4752 - 
       (10777325*s[46])/2376 - (269977*s[47])/792 + (1011673*s[48])/1584 - 
       (194509*s[49])/264 + (329194*s[50])/99 - (1183817*s[51])/4752 - 
       (139283*s[52])/1584 - (4737295*s[53])/1782 + (46075*s[54])/2376 - 
       (5922985*s[55])/297 - (5190379*s[56])/891 - (112812445*s[57])/21384 - 
       (679218017*s[58])/128304 + (175846031*s[59])/32076 + 
       (1163567591*s[60])/28512 - (6544983787*s[61])/2309472 + (10*s[65])/3 + 
       (40*s[66])/3 - 20*s[67] - (115*s[68])/18 - (71*s[69])/2 - s[70]/2 - 
       (25*s[71])/12 - 17*s[72] + 15*s[73] + (25*s[74])/2 - (25*s[75])/2 - 
       (277*s[76])/9 + (65*s[77])/6 - (7*s[78])/2 + (286*s[79])/9 + 
       (404*s[80])/27 + (1235*s[82])/2 + 12*s[84] + 98*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      ((443*s[2])/12 + (1741*s[3])/72 + (785*s[4])/144 + (116437*s[5])/1584 + 
       (154061*s[6])/264 + (32208937*s[7])/14256 + (3244489*s[8])/42768 - 
       (445297*s[9])/243 - (2186257*s[10])/1944 - (66391037*s[11])/28512 - 
       (14636533*s[12])/7128 - (3929129*s[13])/3168 - 
       (49018703*s[14])/28512 - (492559*s[15])/144 - (41253167*s[16])/9504 - 
       (130495711*s[17])/28512 - (4669529*s[18])/11664 - 
       (3094745*s[19])/5832 - (693311845*s[20])/128304 - 
       (540665819*s[21])/256608 + (282759535*s[22])/256608 - 
       (2401723*s[23])/3168 + (829666267*s[24])/256608 - 
       (1399969625*s[25])/577368 + (1015995623*s[26])/577368 + (17*s[30])/3 + 
       (13*s[31])/18 - (223*s[32])/36 - (28*s[33])/9 + (341*s[34])/18 + 
       33*s[35] + (911*s[36])/18 - (20707*s[37])/216 - (475*s[38])/6 + 
       (5683*s[39])/16 - (9745*s[40])/48 + (7139*s[41])/144 - 
       (45163*s[42])/72 + (632971*s[43])/1584 - (122473*s[44])/1584 + 
       (559325*s[45])/594 - (19543663*s[46])/4752 - (143667*s[47])/176 + 
       (98369*s[48])/66 - (1827923*s[49])/1584 + (1318657*s[50])/396 - 
       (1136425*s[51])/2376 - (154201*s[52])/396 - (9218477*s[53])/3564 - 
       (15043*s[54])/297 - (44601353*s[55])/2376 - (71431285*s[56])/14256 - 
       (460843841*s[57])/42768 - (327657929*s[58])/128304 + 
       (51011113*s[59])/16038 + (1147083629*s[60])/28512 - 
       (6156849337*s[61])/2309472 + (11*s[65])/3 + (44*s[66])/3 - 22*s[67] - 
       (397*s[68])/18 - (47*s[69])/6 - (5*s[70])/6 - (28*s[71])/3 - 
       (55*s[72])/3 - (98*s[73])/3 + (81*s[74])/4 - (81*s[75])/4 - 
       (82*s[76])/9 - (77*s[77])/6 - (25*s[78])/2 + (787*s[79])/9 - 
       (7753*s[80])/108 + (4021*s[82])/6 + 12*s[84] + (346*s[85])/3)*
      \[Zeta][2] + HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*
      ((-401*s[2])/12 + (3377*s[3])/24 - (5347*s[4])/48 - (90817*s[5])/528 + 
       (236497*s[6])/1056 - (6604577*s[7])/4752 + (216811*s[8])/1056 + 
       (393935*s[9])/288 + (5135*s[10])/24 + (9411779*s[11])/6336 + 
       (3291961*s[12])/2112 + (8232911*s[13])/9504 - (2171483*s[14])/3168 + 
       (1000985*s[15])/432 + (11428837*s[16])/4752 + (33006605*s[17])/19008 + 
       (186683*s[18])/2592 + (733207*s[19])/2592 + (17271667*s[20])/7128 + 
       (28881569*s[21])/28512 - (1392241*s[22])/1584 - 
       (55589819*s[23])/19008 - (23224283*s[24])/19008 + 
       (1021170937*s[25])/513216 - (504979357*s[26])/513216 + 5*s[30] - 
       (41*s[31])/6 + (27*s[32])/4 - (163*s[33])/12 + (239*s[34])/6 + 
       (109*s[35])/3 + (1883*s[36])/18 - (2255*s[37])/72 - (1681*s[38])/12 + 
       (43397*s[39])/48 - (126175*s[40])/144 + 754*s[41] - 
       (208541*s[42])/144 - (64975*s[43])/144 + (200627*s[44])/288 + 
       (6287*s[45])/72 + (134981*s[46])/48 - (480331*s[47])/864 + 
       (709295*s[48])/864 + (2588647*s[49])/864 - (97477*s[50])/36 - 
       (729275*s[51])/864 - (463229*s[52])/864 + (261193*s[53])/144 + 
       (12523*s[54])/12 + (839435*s[55])/96 + (391391*s[56])/864 - 
       (8887045*s[57])/1296 + (38136037*s[58])/7776 - (46151509*s[59])/7776 - 
       (115053667*s[60])/5184 + (319667*s[61])/2187 + (10*s[65])/3 + 
       (40*s[66])/3 - 20*s[67] - (13*s[68])/2 - (263*s[69])/6 - 
       (17*s[70])/6 - (17*s[71])/2 - (43*s[72])/3 + (94*s[73])/3 + 
       (191*s[74])/12 - (191*s[75])/12 - (17*s[76])/3 + (41*s[77])/6 - 
       (187*s[78])/6 + (145*s[79])/3 - (2465*s[80])/36 + (719*s[82])/3 + 
       (382*s[85])/3)*\[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w]*
      ((-409*s[2])/12 + (83*s[3])/36 - (27107*s[4])/72 - (323963*s[5])/1584 - 
       (161173*s[6])/528 - (143651017*s[7])/28512 + (2275451*s[8])/5346 + 
       (8244943*s[9])/1944 + (2828855*s[10])/1944 + (158929879*s[11])/28512 + 
       (42473837*s[12])/7128 + (33927857*s[13])/9504 - 
       (1410401*s[14])/28512 + (6318703*s[15])/864 + (14008949*s[16])/1584 + 
       (199838435*s[17])/28512 + (6101863*s[18])/11664 + 
       (15869129*s[19])/11664 + (154721455*s[20])/16038 + 
       (836492845*s[21])/256608 - (690169109*s[22])/256608 - 
       (12243241*s[23])/2376 - (770345131*s[24])/128304 + 
       (16907554297*s[25])/2309472 - (8480603503*s[26])/2309472 - 
       (20*s[30])/3 - (125*s[31])/18 + (181*s[32])/18 - (415*s[33])/36 + 
       (319*s[34])/9 + 33*s[35] + (1565*s[36])/18 - (5195*s[37])/108 - 
       (1103*s[38])/4 + (18355*s[39])/16 - (53497*s[40])/48 + 
       (131189*s[41])/144 - (29923*s[42])/18 - (1197653*s[43])/1584 + 
       (730231*s[44])/792 - (382091*s[45])/4752 + (10226629*s[46])/2376 - 
       (414943*s[47])/792 + (739033*s[48])/1584 + (1132187*s[49])/264 - 
       (1491845*s[50])/396 - (4819949*s[51])/4752 - (1089905*s[52])/1584 + 
       (8553379*s[53])/3564 + (2459863*s[54])/2376 + (14756333*s[55])/1188 + 
       (1959751*s[56])/1782 - (160302103*s[57])/21384 + 
       (868518559*s[58])/128304 - (62290642*s[59])/8019 - 
       (1027220065*s[60])/28512 + (1158104021*s[61])/2309472 + (10*s[65])/3 + 
       (40*s[66])/3 - 20*s[67] - (109*s[68])/18 - (241*s[69])/6 - 
       (5*s[70])/2 - (73*s[71])/12 - 15*s[72] + 34*s[73] + (31*s[74])/2 - 
       (31*s[75])/2 + (212*s[76])/9 + (11*s[77])/2 - (71*s[78])/2 + 
       (346*s[79])/9 - (2122*s[80])/27 + (525*s[82])/2 + 134*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*
      (39*s[2] - (65*s[3])/2 - (3937*s[4])/4 - (2981*s[5])/2 - 
       (7587*s[6])/4 - (1495961*s[7])/72 + (205733*s[8])/108 + 
       (975115*s[9])/54 + (258911*s[10])/54 + (1641185*s[11])/72 + 
       (449437*s[12])/18 + (353525*s[13])/24 + (152789*s[14])/72 + 
       (662999*s[15])/24 + (415673*s[16])/12 + (1888171*s[17])/72 + 
       (372049*s[18])/81 + (633971*s[19])/324 + (13539343*s[20])/324 + 
       (10654271*s[21])/648 - (7207471*s[22])/648 - (342713*s[23])/12 - 
       (6701633*s[24])/324 + (41716175*s[25])/1458 - (12055624*s[26])/729 + 
       12*s[30] - 10*s[31] - 13*s[32] - 31*s[33] + 82*s[34] + 114*s[35] + 
       186*s[36] - (1207*s[37])/6 - 906*s[38] + (9537*s[39])/2 - 
       (9541*s[40])/2 + (7189*s[41])/2 - (14979*s[42])/2 - (46311*s[43])/22 + 
       (153561*s[44])/44 - (70325*s[45])/132 + (2279105*s[46])/132 - 
       (233113*s[47])/66 + (118288*s[48])/33 + (813739*s[49])/66 - 
       (145608*s[50])/11 - (56427*s[51])/11 - (508027*s[52])/132 + 
       (3380185*s[53])/396 - (24136*s[54])/33 + (2937655*s[55])/66 + 
       (1064387*s[56])/99 - (16140563*s[57])/297 + (129408373*s[58])/3564 - 
       (31898770*s[59])/891 - (32104043*s[60])/264 + (332245517*s[61])/
        64152 + 18*s[65] + 72*s[66] - 108*s[67] - 74*s[68] - 120*s[69] - 
       6*s[70] - 30*s[71] - 96*s[72] - 48*s[73] + 84*s[74] - 84*s[75] - 
       112*s[76] + 6*s[77] - 66*s[78] + 100*s[79] - (133*s[80])/3 + 
       948*s[82] + 168*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w]*(57*s[2] + 550*s[3] + 2525*s[4] + 
       (5585*s[5])/11 + (69907*s[6])/22 + (2834510*s[7])/99 - 
       (1744673*s[8])/594 - (627137*s[9])/27 - (377867*s[10])/54 - 
       (12564767*s[11])/396 - (14172907*s[12])/396 - (1433317*s[13])/66 - 
       (110857*s[14])/198 - (112066*s[15])/3 - (1574890*s[16])/33 - 
       (13643725*s[17])/396 - (360589*s[18])/81 - (423008*s[19])/81 - 
       (96350599*s[20])/1782 - (14977580*s[21])/891 + (26148167*s[22])/1782 + 
       (4880767*s[23])/132 + (115111543*s[24])/3564 - 
       (1375260305*s[25])/32076 + (673052045*s[26])/32076 + 12*s[30] + 
       4*s[31] - 5*s[32] + 55*s[33] + 32*s[34] + 24*s[35] + 70*s[36] + 
       (245*s[37])/3 + 851*s[38] - 3578*s[39] + 4257*s[40] - (6855*s[41])/2 + 
       (10447*s[42])/2 + (40069*s[43])/11 - (77007*s[44])/22 + 
       (283957*s[45])/66 - (2107111*s[46])/66 + (38469*s[47])/44 + 
       (47841*s[48])/44 - (659247*s[49])/44 + (267402*s[50])/11 + 
       (514901*s[51])/132 + (68383*s[52])/22 - (1701259*s[53])/99 + 
       (189575*s[54])/66 - (4828891*s[55])/44 - (11472917*s[56])/396 + 
       (11865925*s[57])/594 - (168656341*s[58])/3564 + 
       (169858867*s[59])/3564 + (208492705*s[60])/792 - 
       (451852669*s[61])/32076 + 12*s[65] + 48*s[66] - 72*s[67] - 46*s[68] - 
       90*s[69] - 36*s[70] - 12*s[71] - 24*s[72] + 72*s[73] + 12*s[74] - 
       12*s[75] - 68*s[76] + 30*s[77] - 96*s[78] + 464*s[79] - 
       (242*s[80])/3 + 66*s[82] - 36*s[83] + 216*s[84] + 168*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - w]*
      ((2519*s[2])/12 + (2927*s[3])/12 + (87437*s[4])/24 + (293989*s[5])/88 + 
       (1925701*s[6])/264 + (159777517*s[7])/2376 - (11601625*s[8])/2376 - 
       (12275423*s[9])/216 - (4189831*s[10])/216 - (77495999*s[11])/1056 - 
       (123980081*s[12])/1584 - (442467599*s[13])/9504 - 
       (10974103*s[14])/1056 - (40145885*s[15])/432 - 
       (1101450917*s[16])/9504 - (892058575*s[17])/9504 - 
       (2511131*s[18])/216 - (2578043*s[19])/216 - (80725489*s[20])/594 - 
       (1427591641*s[21])/28512 + (1003503433*s[22])/28512 + 
       (649089685*s[23])/9504 + (2170022539*s[24])/28512 - 
       (23623812277*s[25])/256608 + (13225147171*s[26])/256608 - 4*s[30] + 
       (263*s[31])/6 - 31*s[32] + (79*s[33])/12 - (286*s[34])/3 - 
       (220*s[35])/3 - (4283*s[36])/18 + (949*s[37])/9 + (26677*s[38])/12 - 
       8738*s[39] + (86602*s[40])/9 - (184817*s[41])/24 + 
       (1755227*s[42])/144 + (1701781*s[43])/198 - (13546769*s[44])/1584 + 
       (7650773*s[45])/792 - (19527635*s[46])/264 + (9200509*s[47])/4752 + 
       (12322045*s[48])/4752 - (95064413*s[49])/2376 + (11521507*s[50])/198 + 
       (18846793*s[51])/2376 + (28396757*s[52])/4752 - 
       (65096335*s[53])/1584 - (742411*s[54])/264 - (409945193*s[55])/1584 - 
       (18517997*s[56])/297 + (289273219*s[57])/7128 - 
       (4568922709*s[58])/42768 + (1202655505*s[59])/10692 + 
       (8851884005*s[60])/14256 - (24108767795*s[61])/769824 - (7*s[65])/3 - 
       (28*s[66])/3 + 14*s[67] - (63*s[68])/2 + (605*s[69])/6 + 
       (125*s[70])/6 - (5*s[71])/4 + (73*s[72])/3 - (490*s[73])/3 - 
       (59*s[74])/3 + (59*s[75])/3 - (169*s[76])/3 - (443*s[77])/6 + 
       (751*s[78])/6 + (1064*s[79])/3 - (821*s[80])/18 + (4663*s[82])/3 - 
       15*s[83] + 114*s[84] + (614*s[85])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*(45*s[2] - 26*s[3] - 
       (1841*s[4])/2 - (16067*s[5])/11 - (18276*s[6])/11 - 
       (7880351*s[7])/396 + (539848*s[8])/297 + (941833*s[9])/54 + 
       (123484*s[10])/27 + (2143649*s[11])/99 + (9348091*s[12])/396 + 
       (610729*s[13])/44 + (797369*s[14])/396 + (107093*s[15])/4 + 
       (1088000*s[16])/33 + (4970549*s[17])/198 + (731039*s[18])/162 + 
       (276841*s[19])/162 + (35739461*s[20])/891 + (57262355*s[21])/3564 - 
       (38043037*s[22])/3564 - (1217907*s[23])/44 - (68971723*s[24])/3564 + 
       (216320999*s[25])/8019 - (127070033*s[26])/8019 - 12*s[30] - 
       10*s[31] - 13*s[32] - 31*s[33] + 88*s[34] + 144*s[35] + 208*s[36] - 
       (674*s[37])/3 - 941*s[38] + 4705*s[39] - 4645*s[40] + (6989*s[41])/2 - 
       (14673*s[42])/2 - (22427*s[43])/11 + (37190*s[44])/11 - 
       (30367*s[45])/66 + (1094635*s[46])/66 - (460067*s[47])/132 + 
       (493501*s[48])/132 + (1578377*s[49])/132 - (139872*s[50])/11 - 
       (217243*s[51])/44 - (127300*s[52])/33 + (808549*s[53])/99 - 
       (37769*s[54])/66 + (5652995*s[55])/132 + (3940505*s[56])/396 - 
       (31366915*s[57])/594 + (125235559*s[58])/3564 - 
       (123873355*s[59])/3564 - (10210323*s[60])/88 + 
       (146063887*s[61])/32076 + 18*s[65] + 72*s[66] - 108*s[67] - 80*s[68] - 
       120*s[69] - 6*s[70] - 33*s[71] - 96*s[72] - 48*s[73] + 87*s[74] - 
       87*s[75] - 118*s[76] + 2*s[77] - 54*s[78] + 112*s[79] - 
       (178*s[80])/3 + 1164*s[82] + 216*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*(56*s[2] - (95*s[3])/2 - 
       (4281*s[4])/4 - (2681*s[5])/2 - (7047*s[6])/4 - (1484405*s[7])/72 + 
       (218573*s[8])/108 + (958963*s[9])/54 + (262535*s[10])/54 + 
       (1620329*s[11])/72 + (221660*s[12])/9 + (346777*s[13])/24 + 
       (110369*s[14])/72 + (667435*s[15])/24 + (138107*s[16])/4 + 
       (1885963*s[17])/72 + (352963*s[18])/81 + (724283*s[19])/324 + 
       (13280515*s[20])/324 + (10242707*s[21])/648 - (7115179*s[22])/648 - 
       (340207*s[23])/12 - (6708875*s[24])/324 + (41682521*s[25])/1458 - 
       (11838349*s[26])/729 + 12*s[30] - 16*s[31] - 21*s[32] - 28*s[33] + 
       88*s[34] + 114*s[35] + 198*s[36] - (823*s[37])/6 - 861*s[38] + 
       4975*s[39] - 5047*s[40] + (7767*s[41])/2 - (15717*s[42])/2 - 
       (26837*s[43])/11 + (84389*s[44])/22 - (67583*s[45])/132 + 
       (2469377*s[46])/132 - (73049*s[47])/22 + (74659*s[48])/22 + 
       (307895*s[49])/22 - (163696*s[50])/11 - (171962*s[51])/33 - 
       (86259*s[52])/22 + (3860095*s[53])/396 - (21701*s[54])/66 + 
       (1129061*s[55])/22 + (1088123*s[56])/99 - (30041221*s[57])/594 + 
       (130430671*s[58])/3564 - (66196205*s[59])/1782 - 
       (107458411*s[60])/792 + (346308353*s[61])/64152 + 18*s[65] + 
       72*s[66] - 108*s[67] - 62*s[68] - 146*s[69] - 6*s[70] - 30*s[71] - 
       96*s[72] - 36*s[73] + 84*s[74] - 84*s[75] - 112*s[76] + 24*s[77] - 
       66*s[78] + 124*s[79] - (169*s[80])/3 + 1164*s[82] + 216*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      (-12*s[2] + (1429*s[3])/2 + (10725*s[4])/4 + (4599*s[5])/22 + 
       (135083*s[6])/44 + (6627373*s[7])/264 - (1142711*s[8])/396 - 
       (177625*s[9])/9 - (102157*s[10])/18 - (7435871*s[11])/264 - 
       (4278695*s[12])/132 - (5284759*s[13])/264 + (161503*s[14])/264 - 
       (769387*s[15])/24 - (5518331*s[16])/132 - (2559043*s[17])/88 - 
       (202549*s[18])/54 - (515077*s[19])/108 - (54676657*s[20])/1188 - 
       (32943563*s[21])/2376 + (30006967*s[22])/2376 + (1168645*s[23])/33 + 
       (16913293*s[24])/594 - (103541722*s[25])/2673 + 
       (99039587*s[26])/5346 + 36*s[30] - 48*s[31] + 18*s[32] - 24*s[33] + 
       114*s[34] + 42*s[35] + 118*s[36] - 19*s[37] + 673*s[38] - 
       (6349*s[39])/2 + (7977*s[40])/2 - (6403*s[41])/2 + (9415*s[42])/2 + 
       (80899*s[43])/22 - (150199*s[44])/44 + (91573*s[45])/22 - 
       (335102*s[46])/11 + (70355*s[47])/132 + (230669*s[48])/132 - 
       (1947173*s[49])/132 + (253698*s[50])/11 + (144139*s[51])/44 + 
       (339673*s[52])/132 - (181279*s[53])/11 + (22711*s[54])/11 - 
       (14026391*s[55])/132 - (3777415*s[56])/132 + (1632556*s[57])/99 - 
       (52896557*s[58])/1188 + (54045965*s[59])/1188 + 
       (200686469*s[60])/792 - (74115355*s[61])/5346 + 12*s[65] + 48*s[66] - 
       72*s[67] - 48*s[68] - 80*s[69] - 12*s[71] - 24*s[72] + 72*s[73] + 
       21*s[74] - 21*s[75] + 68*s[76] - 8*s[77] - 152*s[78] + 504*s[79] - 
       308*s[80] + 282*s[82] - 36*s[83] + 216*s[84] + 216*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-1727*s[2])/24 + (14455*s[3])/144 - (510373*s[4])/288 - 
       (24335*s[5])/36 - (186199*s[6])/96 - (121994771*s[7])/5184 + 
       (16947497*s[8])/7776 + (76420369*s[9])/3888 + (12856045*s[10])/1944 + 
       (134113175*s[11])/5184 + (36604561*s[12])/1296 + (9698809*s[13])/576 + 
       (4380071*s[14])/5184 + (6253609*s[15])/192 + (35157829*s[16])/864 + 
       (163161013*s[17])/5184 + (35778353*s[18])/11664 + 
       (119662121*s[19])/23328 + (1060971349*s[20])/23328 + 
       (705932369*s[21])/46656 - (582556321*s[22])/46656 - 
       (2549273*s[23])/96 - (630988973*s[24])/23328 + 
       (3562519217*s[25])/104976 - (1804408241*s[26])/104976 + 10*s[29] - 
       (53*s[30])/6 - (175*s[31])/18 + (725*s[32])/18 - (1205*s[33])/144 + 
       (419*s[34])/9 + (193*s[35])/4 + (6799*s[36])/36 - (3331*s[37])/108 - 
       1017*s[38] + (62249*s[39])/12 - (51878*s[40])/9 + (43156*s[41])/9 - 
       (558547*s[42])/72 - (158623*s[43])/36 + (743599*s[44])/144 - 
       (337745*s[45])/108 + (1841911*s[46])/54 - (152785*s[47])/108 - 
       (43231*s[48])/108 + (1216169*s[49])/54 - (2035775*s[50])/72 - 
       (533431*s[51])/108 - (1385171*s[52])/432 + (12452759*s[53])/648 + 
       (159343*s[54])/54 + (49800551*s[55])/432 + (15681607*s[56])/648 - 
       (110456417*s[57])/3888 + (579022015*s[58])/11664 - 
       (627283057*s[59])/11664 - (373289563*s[60])/1296 + 
       (155479805*s[61])/13122 + 8*s[63] + (31*s[65])/4 + 29*s[66] - 
       (81*s[67])/2 + (296*s[68])/9 - (409*s[69])/3 - s[70]/2 - 
       (47*s[71])/4 - (93*s[72])/2 + (689*s[73])/6 + (357*s[74])/8 - 
       (357*s[75])/8 - (32*s[76])/9 + (189*s[77])/4 - 98*s[78] - 
       (4336*s[79])/9 + (5951*s[80])/54 - 597*s[82] - (91*s[83])/4 - 
       (337*s[84])/2 + 222*s[85])*\[Zeta][2] + HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - u]*((1147*s[2])/12 + (859*s[3])/24 + 
       (74027*s[4])/48 + (201433*s[5])/88 + (2032061*s[6])/528 + 
       (118158011*s[7])/3168 - (34283935*s[8])/14256 - (10396043*s[9])/324 - 
       (7183613*s[10])/648 - (382494205*s[11])/9504 - 
       (200574247*s[12])/4752 - (235395553*s[13])/9504 - 
       (70837879*s[14])/9504 - (45161459*s[15])/864 - (19113653*s[16])/297 - 
       (508855087*s[17])/9504 - (13679687*s[18])/1944 - 
       (23165063*s[19])/3888 - (3310947383*s[20])/42768 - 
       (2541537529*s[21])/85536 + (1682200661*s[22])/85536 + 
       (170169817*s[23])/4752 + (1786594135*s[24])/42768 - 
       (4738385975*s[25])/96228 + (1387445335*s[26])/48114 + 16*s[29] - 
       18*s[30] + (93*s[31])/2 - (53*s[32])/12 + (13*s[33])/4 - 
       (145*s[34])/2 - (92*s[35])/3 - (2851*s[36])/18 + (10073*s[37])/72 + 
       (2495*s[38])/2 - (51871*s[39])/12 + (170033*s[40])/36 - 
       (14471*s[41])/4 + (837877*s[42])/144 + (1765903*s[43])/396 - 
       (407599*s[44])/99 + (9440059*s[45])/1584 - (64064345*s[46])/1584 + 
       (2158159*s[47])/2376 + (3195151*s[48])/2376 - (95083061*s[49])/4752 + 
       (6243365*s[50])/198 + (17797045*s[51])/4752 + (3626881*s[52])/1188 - 
       (107505943*s[53])/4752 - (630089*s[54])/396 - (229920725*s[55])/1584 - 
       (57049105*s[56])/1584 + (29714291*s[57])/1584 - 
       (835781311*s[58])/14256 + (437979635*s[59])/7128 + 
       (1214669785*s[60])/3564 - (4602961645*s[61])/256608 + (4*s[65])/3 + 
       (16*s[66])/3 - 8*s[67] - (83*s[68])/6 + (25*s[69])/6 + (67*s[70])/6 - 
       s[71]/2 - (25*s[72])/3 - (98*s[73])/3 + (89*s[74])/12 - 
       (89*s[75])/12 - (211*s[76])/3 - (49*s[77])/6 + (389*s[78])/6 + 
       151*s[79] + (2039*s[80])/36 + (4373*s[82])/3 - 15*s[83] + 114*s[84] + 
       (874*s[85])/3)*\[Zeta][2] + HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((803*s[2])/3 + (23*s[3])/12 + (16153*s[4])/24 + (97003*s[5])/132 + 
       (346241*s[6])/88 + (23905379*s[7])/1584 - (1343323*s[8])/7128 - 
       (4116355*s[9])/324 - (1077959*s[10])/324 - (41868437*s[11])/2376 - 
       (46590061*s[12])/2376 - (15825817*s[13])/1188 - 
       (12894869*s[14])/2376 - (6865409*s[15])/432 - (111838789*s[16])/4752 - 
       (21173029*s[17])/1188 - (1843921*s[18])/486 - (1280285*s[19])/1944 - 
       (615777863*s[20])/21384 - (65239715*s[21])/5346 + 
       (82052675*s[22])/10692 + (75883517*s[23])/4752 + 
       (646120205*s[24])/42768 - (8111882407*s[25])/384912 + 
       (5066330017*s[26])/384912 + 2*s[29] + (65*s[30])/3 + (227*s[31])/3 - 
       38*s[32] - (196*s[33])/3 - 27*s[34] + (593*s[35])/3 + (1967*s[36])/9 - 
       (13*s[37])/2 + (1517*s[38])/2 - (10007*s[39])/12 + (56893*s[40])/36 - 
       (5651*s[41])/6 + (10663*s[42])/72 + (1270631*s[43])/396 - 
       (1248235*s[44])/792 + (381791*s[45])/66 - (10963901*s[46])/396 - 
       (3867811*s[47])/2376 + (12487715*s[48])/2376 - (2741059*s[49])/297 + 
       (1788374*s[50])/99 + (207335*s[51])/1188 + (3020641*s[52])/2376 - 
       (31376915*s[53])/2376 + (1548883*s[54])/396 - (25381571*s[55])/264 - 
       (39674419*s[56])/1188 + (4340443*s[57])/3564 - 
       (841125151*s[58])/21384 + (401936783*s[59])/10692 + 
       (1656419077*s[60])/7128 - (6188266451*s[61])/384912 - 16*s[63] + 
       14*s[65] + 62*s[66] - (274*s[67])/3 - 69*s[68] - (167*s[69])/3 - 
       (11*s[70])/3 - (271*s[71])/6 - 96*s[72] - (970*s[73])/3 + 
       (183*s[74])/2 - (183*s[75])/2 - 210*s[76] - (142*s[77])/3 + 73*s[78] + 
       (1844*s[79])/3 - (1226*s[80])/3 + (3890*s[82])/3 + (83*s[83])/2 + 
       87*s[84] + (1276*s[85])/3)*\[Zeta][2] + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - v]*(-159*s[2] - (287*s[3])/6 - (23137*s[4])/12 - 
       (47243*s[5])/33 - (66249*s[6])/44 - (75517723*s[7])/2376 + 
       (8986111*s[8])/3564 + (2172701*s[9])/81 + (860812*s[10])/81 + 
       (82271593*s[11])/2376 + (10739203*s[12])/297 + (16894993*s[13])/792 + 
       (3083125*s[14])/2376 + (3424331*s[15])/72 + (5651872*s[16])/99 + 
       (111776843*s[17])/2376 + (663355*s[18])/243 + (9530495*s[19])/972 + 
       (679254233*s[20])/10692 + (458199991*s[21])/21384 - 
       (362598983*s[22])/21384 - (2461549*s[23])/99 - 
       (219291665*s[24])/5346 + (1077998924*s[25])/24057 - 
       (1092203851*s[26])/48114 + 30*s[30] + (8*s[31])/3 + (182*s[32])/3 - 
       (73*s[33])/3 + (298*s[34])/3 + 158*s[35] + (1024*s[36])/3 - 
       (413*s[37])/9 - 1092*s[38] + (10783*s[39])/2 - (10975*s[40])/2 + 
       (28009*s[41])/6 - (48259*s[42])/6 - (269587*s[43])/66 + 
       (682175*s[44])/132 - (179299*s[45])/198 + (2451800*s[46])/99 - 
       (74405*s[47])/44 + (42525*s[48])/44 + (3155161*s[49])/132 - 
       (766820*s[50])/33 - (1881047*s[51])/396 - (342187*s[52])/132 + 
       (8943899*s[53])/594 + (776756*s[54])/99 + (32696531*s[55])/396 + 
       (8250431*s[56])/1188 - (18312548*s[57])/891 + (354684973*s[58])/
        10692 - (434004871*s[59])/10692 - (529766203*s[60])/2376 + 
       (388455733*s[61])/96228 + 16*s[65] + 64*s[66] - 96*s[67] - 
       (20*s[68])/3 - 232*s[69] - 32*s[70] - 36*s[71] - 60*s[72] + 60*s[73] + 
       67*s[74] - 67*s[75] - (508*s[76])/3 + 94*s[77] + 8*s[78] + 
       (736*s[79])/3 - (1714*s[80])/9 + 8*s[82] + 3*s[83] - 66*s[84] + 
       472*s[85])*\[Zeta][2] + HPL[{0, 1, 0, 1, 1}, 1 - u]*
      (971*s[2] + (47*s[3])/3 + (60769*s[4])/6 + (583457*s[5])/66 + 
       (242975*s[6])/11 + (54794017*s[7])/297 - (21423439*s[8])/1782 - 
       (12609601*s[9])/81 - (4235015*s[10])/81 - (60616945*s[11])/297 - 
       (65180783*s[12])/297 - (13242061*s[13])/99 - (17321327*s[14])/594 - 
       (4474213*s[15])/18 - (62604007*s[16])/198 - (75001664*s[17])/297 - 
       (15036577*s[18])/486 - (16184939*s[19])/486 - (1967283875*s[20])/
        5346 - (364156318*s[21])/2673 + (516845581*s[22])/5346 + 
       (36097297*s[23])/198 + (1125945553*s[24])/5346 - 
       (6164744803*s[25])/24057 + (3439830211*s[26])/24057 - 108*s[30] + 
       (866*s[31])/3 - (487*s[32])/3 + (272*s[33])/3 - (1268*s[34])/3 + 
       180*s[35] - (1772*s[36])/3 + (6047*s[37])/18 + 6804*s[38] - 
       22708*s[39] + 25564*s[40] - (59698*s[41])/3 + (89617*s[42])/3 + 
       (76574*s[43])/3 - (69710*s[44])/3 + (1052483*s[45])/36 - 
       (7475429*s[46])/36 + (8731*s[47])/4 + (51435*s[48])/4 - 
       (1348675*s[49])/12 + (476666*s[50])/3 + (666095*s[51])/36 + 
       (47908*s[52])/3 - (12076297*s[53])/108 - (58604*s[54])/9 - 
       (25948337*s[55])/36 - (19562651*s[56])/108 + (8505503*s[57])/81 - 
       (73010878*s[58])/243 + (306152659*s[59])/972 + (94787683*s[60])/54 - 
       (1565560661*s[61])/17496 + 14*s[65] + 56*s[66] - 84*s[67] - 
       (524*s[68])/3 + 204*s[69] + 26*s[70] - 50*s[71] - 96*s[72] - 
       816*s[73] + 74*s[74] - 74*s[75] - (2014*s[76])/3 - 244*s[77] + 
       634*s[78] + (4576*s[79])/3 - (2527*s[80])/9 + 5100*s[82] + 75*s[83] + 
       186*s[84] + 504*s[85])*\[Zeta][2] + HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((2115*s[2])/2 - (3529*s[3])/12 + (138049*s[4])/24 + 
       (1061551*s[5])/132 + (1454031*s[6])/88 + (653467117*s[7])/4752 - 
       (48441439*s[8])/7128 - (9578614*s[9])/81 - (6697333*s[10])/162 - 
       (715886311*s[11])/4752 - (187596281*s[12])/1188 - 
       (151191067*s[13])/1584 - (146393215*s[14])/4752 - 
       (27400529*s[15])/144 - (47047171*s[16])/198 - (940079681*s[17])/4752 - 
       (5859749*s[18])/243 - (46847795*s[19])/1944 - (6059502623*s[20])/
        21384 - (4699404805*s[21])/42768 + (3103741805*s[22])/42768 + 
       (47277971*s[23])/396 + (846887959*s[24])/5346 - 
       (35276289089*s[25])/192456 + (20788798397*s[26])/192456 + 54*s[29] - 
       19*s[30] + (854*s[31])/3 - (460*s[32])/3 - (112*s[33])/3 - 
       (1223*s[34])/3 + 181*s[35] - (1214*s[36])/3 + (3643*s[37])/9 + 
       5082*s[38] - (56781*s[39])/4 + (64589*s[40])/4 - (148471*s[41])/12 + 
       (208645*s[42])/12 + (2348785*s[43])/132 - (988391*s[44])/66 + 
       (2279890*s[45])/99 - (58604533*s[46])/396 - (37061*s[47])/66 + 
       (1524101*s[48])/132 - (5036597*s[49])/66 + (7459583*s[50])/66 + 
       (4234897*s[51])/396 + (429977*s[52])/44 - (23745614*s[53])/297 - 
       (1226051*s[54])/198 - (209045017*s[55])/396 - (79917701*s[56])/594 + 
       (177436921*s[57])/3564 - (1123913641*s[58])/5346 + 
       (2367921365*s[59])/10692 + (377271985*s[60])/297 - 
       (12691266385*s[61])/192456 + 4*s[63] + 25*s[65] + 126*s[66] - 
       150*s[67] - (452*s[68])/3 - 22*s[69] + 66*s[70] - 49*s[71] - 
       166*s[72] - 842*s[73] + (261*s[74])/2 - (261*s[75])/2 - 
       (1720*s[76])/3 - 221*s[77] + 346*s[78] + (3760*s[79])/3 - 
       (1468*s[80])/9 + 5100*s[82] + 75*s[83] + 186*s[84] + 504*s[85])*
      \[Zeta][2] + Qep[u, v, w]*((-2560*s[2])/3 + (464*s[3])/9 - 
       (7480*s[4])/9 + (403456*s[5])/99 + (99560*s[6])/33 + 
       (15279460*s[7])/891 - (8473064*s[8])/2673 - (4344784*s[9])/243 + 
       (1030624*s[10])/243 - (16986520*s[11])/891 - (22859696*s[12])/891 - 
       (4302344*s[13])/297 - (4380592*s[14])/891 - (259612*s[15])/27 - 
       (1721260*s[16])/99 - (1306880*s[17])/891 - (10710368*s[18])/729 + 
       (11398808*s[19])/729 - (302477752*s[20])/8019 - 
       (196402024*s[21])/8019 + (78843032*s[22])/8019 + 
       (21071404*s[23])/297 - (48219100*s[24])/8019 - 
       (1475130868*s[25])/72171 + (1451655052*s[26])/72171 - (128*s[30])/3 - 
       (256*s[31])/9 + (2336*s[32])/9 + (128*s[33])/9 - (320*s[34])/9 - 
       256*s[35] - (1280*s[36])/9 + (36400*s[37])/27 + 1632*s[38] - 
       7936*s[39] + (21760*s[40])/3 - (30544*s[41])/9 + (121648*s[42])/9 - 
       (213056*s[43])/99 - (170056*s[44])/99 + (8440*s[45])/297 - 
       (2642536*s[46])/297 + (146184*s[47])/11 - (192088*s[48])/11 + 
       (1031368*s[49])/99 - (444416*s[50])/99 + (3377320*s[51])/297 + 
       (1148792*s[52])/99 + (3501280*s[53])/891 + (6586064*s[54])/297 + 
       (9352160*s[55])/297 - (22825624*s[56])/891 + (567931336*s[57])/2673 - 
       (647741840*s[58])/8019 + (457629008*s[59])/8019 - 
       (65309312*s[60])/891 - (730603304*s[61])/72171 - (128*s[65])/3 - 
       (512*s[66])/3 + 256*s[67] + (3712*s[68])/9 - (512*s[69])/3 + 
       (224*s[71])/3 + 256*s[72] + 768*s[73] - 224*s[74] + 224*s[75] + 
       (3200*s[76])/9 + 256*s[77] - (3200*s[79])/9 + (2144*s[80])/27 - 
       4608*s[82] + 512*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - w]*(-141*s[2] - (29*s[3])/2 - (9085*s[4])/4 - 
       (15354*s[5])/11 - (57595*s[6])/44 - (23886187*s[7])/792 + 
       (3483977*s[8])/1188 + (686182*s[9])/27 + (444943*s[10])/54 + 
       (26523593*s[11])/792 + (3604559*s[12])/99 + (17109283*s[13])/792 - 
       (1497451*s[14])/792 + (3124061*s[15])/72 + (10440235*s[16])/198 + 
       (3559687*s[17])/88 + (541141*s[18])/162 + (2541151*s[19])/324 + 
       (203783215*s[20])/3564 + (137547527*s[21])/7128 - 
       (115259803*s[22])/7128 - (7187753*s[23])/198 - (63095581*s[24])/1782 + 
       (1425567613*s[25])/32076 - (703180273*s[26])/32076 + 12*s[30] - 
       44*s[31] + 46*s[32] - (141*s[33])/2 + 212*s[34] + 144*s[35] + 
       (1411*s[36])/3 - (755*s[37])/3 - 1667*s[38] + (30915*s[39])/4 - 
       (92821*s[40])/12 + (24869*s[41])/4 - (139187*s[42])/12 - 
       (629807*s[43])/132 + (1709611*s[44])/264 - (31220*s[45])/33 + 
       (4047961*s[46])/132 - (3034805*s[47])/792 + (2717557*s[48])/792 + 
       (22044287*s[49])/792 - (874490*s[50])/33 - (5735383*s[51])/792 - 
       (3780013*s[52])/792 + (1696877*s[53])/99 + (202150*s[54])/33 + 
       (24226969*s[55])/264 + (3125047*s[56])/264 - (1907314*s[57])/33 + 
       (121248121*s[58])/2376 - (135357247*s[59])/2376 - 
       (1196934653*s[60])/4752 + (123291779*s[61])/21384 + 20*s[65] + 
       80*s[66] - 120*s[67] - 32*s[68] - 232*s[69] + 8*s[70] - 46*s[71] - 
       104*s[72] + 106*s[73] + 106*s[74] - 106*s[75] - 36*s[76] + 40*s[77] - 
       186*s[78] + 188*s[79] - (880*s[80])/3 + 656*s[82] - 3*s[83] + 
       42*s[84] + 664*s[85])*\[Zeta][2] + HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((1779*s[2])/2 + (4577*s[3])/12 + (216337*s[4])/24 + (264796*s[5])/33 + 
       (1781521*s[6])/88 + (789229219*s[7])/4752 - (74605897*s[8])/7128 - 
       (22729409*s[9])/162 - (15348143*s[10])/324 - (872659921*s[11])/4752 - 
       (117031951*s[12])/594 - (189823801*s[13])/1584 - 
       (132856225*s[14])/4752 - (32292767*s[15])/144 - (28225856*s[16])/99 - 
       (1085867423*s[17])/4752 - (7025663*s[18])/243 - 
       (56221277*s[19])/1944 - (7122247085*s[20])/21384 - 
       (5317017007*s[21])/42768 + (3722422235*s[22])/42768 + 
       (65954015*s[23])/396 + (503531150*s[24])/2673 - 
       (44129565437*s[25])/192456 + (24851486237*s[26])/192456 - 20*s[30] + 
       (896*s[31])/3 - (286*s[32])/3 + (1127*s[33])/12 - (1244*s[34])/3 + 
       195*s[35] - (1508*s[36])/3 + (4198*s[37])/9 + 6054*s[38] - 
       (73555*s[39])/4 + (84483*s[40])/4 - (194497*s[41])/12 + 
       (278047*s[42])/12 + (3031879*s[43])/132 - (2587411*s[44])/132 + 
       (5868689*s[45])/198 - (76394425*s[46])/396 - (18339*s[47])/44 + 
       (161826*s[48])/11 - (12954605*s[49])/132 + (9683183*s[50])/66 + 
       (2784581*s[51])/198 + (423704*s[52])/33 - (31018958*s[53])/297 - 
       (1229627*s[54])/198 - (135765587*s[55])/198 - (210029695*s[56])/1188 + 
       (245720665*s[57])/3564 - (2937247391*s[58])/10692 + 
       (1541148463*s[59])/5346 + (3901540997*s[60])/2376 - 
       (16736098465*s[61])/192456 + 25*s[65] + 126*s[66] - 150*s[67] - 
       (806*s[68])/3 + 84*s[69] + 38*s[70] - 61*s[71] - 190*s[72] - 
       794*s[73] + (321*s[74])/2 - (321*s[75])/2 - (2128*s[76])/3 - 
       245*s[77] + 478*s[78] + (4384*s[79])/3 - (2500*s[80])/9 + 6516*s[82] + 
       75*s[83] + 186*s[84] + 744*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*(-246*s[2] + 493*s[3] + 
       (197*s[4])/2 - (9391*s[5])/11 + (37893*s[6])/22 - (2782339*s[7])/396 - 
       (86651*s[8])/594 + (180880*s[9])/27 + (141086*s[10])/27 + 
       (2805853*s[11])/396 + (443963*s[12])/99 + (75827*s[13])/44 - 
       (30791*s[14])/396 + (70345*s[15])/4 + (570898*s[16])/33 + 
       (7843799*s[17])/396 - (159184*s[18])/81 + (1092065*s[19])/162 + 
       (29801963*s[20])/1782 + (21496747*s[21])/3564 - 
       (15429119*s[22])/3564 + (99923*s[23])/11 - (12908513*s[24])/891 + 
       (127419683*s[25])/16038 - (62092715*s[26])/16038 + 36*s[30] - 
       56*s[31] + 76*s[32] - 44*s[33] + 236*s[34] + 180*s[35] + 554*s[36] + 
       (110*s[37])/3 - 348*s[38] + (3951*s[39])/2 - (2721*s[40])/2 + 
       (3059*s[41])/2 - (5555*s[42])/2 - (2197*s[43])/2 + (8651*s[44])/4 + 
       (7906*s[45])/3 - (14315*s[46])/6 - (139*s[47])/4 + (4247*s[48])/4 + 
       (50993*s[49])/4 - 3719*s[50] - (7487*s[51])/12 + (4509*s[52])/4 + 
       (31145*s[53])/18 + (40835*s[54])/3 - (43633*s[55])/12 - 
       (712741*s[56])/36 + (337387*s[57])/27 - (4094447*s[58])/324 + 
       (845861*s[59])/324 - (716701*s[60])/72 - (25851941*s[61])/2916 + 
       24*s[65] + 96*s[66] - 144*s[67] - 4*s[68] - 336*s[69] - 36*s[70] - 
       48*s[71] - 72*s[72] + 264*s[73] + 72*s[74] - 72*s[75] - 44*s[76] + 
       108*s[77] - 228*s[78] + 728*s[79] - (1412*s[80])/3 - 630*s[82] - 
       36*s[83] + 216*s[84] + 792*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*(-352*s[2] + 600*s[3] - 
       (55*s[4])/2 - (10432*s[5])/11 + (12490*s[6])/11 - (1389727*s[7])/132 - 
       (2084*s[8])/33 + (28988*s[9])/3 + (39785*s[10])/6 + 
       (234181*s[11])/22 + (336443*s[12])/44 + (527753*s[13])/132 + 
       (46481*s[14])/44 + (277801*s[15])/12 + (788402*s[16])/33 + 
       (1747643*s[17])/66 - (6065*s[18])/3 + (16067*s[19])/2 + 
       (776081*s[20])/33 + (3278317*s[21])/396 - (2430103*s[22])/396 + 
       (1171373*s[23])/132 - (7693519*s[24])/396 + (44382775*s[25])/3564 - 
       (22155115*s[26])/3564 + 60*s[30] - 84*s[31] + 109*s[32] - 78*s[33] + 
       276*s[34] + 120*s[35] + 546*s[36] + 51*s[37] - 208*s[38] + 
       2051*s[39] - 1505*s[40] + 1845*s[41] - 3095*s[42] - (13721*s[43])/11 + 
       (52507*s[44])/22 + (64593*s[45])/22 - (41153*s[46])/22 + 
       (3934*s[47])/33 + (33304*s[48])/33 + (447899*s[49])/33 - 
       (49673*s[50])/11 - (20905*s[51])/33 + (71455*s[52])/66 + 
       (52117*s[53])/22 + (144839*s[54])/11 - (2588*s[55])/11 - 
       (655286*s[56])/33 + (1583504*s[57])/99 - (7994627*s[58])/594 + 
       (692023*s[59])/297 - (5947825*s[60])/396 - (96207391*s[61])/10692 + 
       24*s[65] + 96*s[66] - 144*s[67] + 12*s[68] - 368*s[69] - 12*s[70] - 
       48*s[71] - 72*s[72] + 276*s[73] + 72*s[74] - 72*s[75] - 72*s[76] + 
       120*s[77] - 228*s[78] + 648*s[79] - 404*s[80] - 414*s[82] - 36*s[83] + 
       216*s[84] + 840*s[85])*\[Zeta][2] + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u]*(296*s[2] - (653*s[3])/3 + (631*s[4])/3 + 
       (118909*s[5])/66 + (110687*s[6])/22 + (16281649*s[7])/594 - 
       (43237*s[8])/891 - (3854269*s[9])/162 - (823837*s[10])/81 - 
       (17330935*s[11])/594 - (8436280*s[12])/297 - (3453143*s[13])/198 - 
       (8047609*s[14])/594 - (692419*s[15])/18 - (1056697*s[16])/22 - 
       (26940173*s[17])/594 - (1333600*s[18])/243 - (1069709*s[19])/243 - 
       (323584357*s[20])/5346 - (67211588*s[21])/2673 + 
       (37816945*s[22])/2673 + (845378*s[23])/99 + (177352865*s[24])/5346 - 
       (1557256735*s[25])/48114 + (531467456*s[26])/24057 + 32*s[29] - 
       2*s[30] + (292*s[31])/3 - (68*s[32])/3 - (265*s[33])/6 - 
       (22*s[34])/3 + 232*s[35] + (746*s[36])/3 - (1573*s[37])/9 + 
       536*s[38] + (2037*s[39])/2 - (497*s[40])/2 + (971*s[41])/6 - 
       (19691*s[42])/6 + (260119*s[43])/66 - (104447*s[44])/132 + 
       (1803463*s[45])/198 - (3788798*s[46])/99 - (588913*s[47])/132 + 
       (1199225*s[48])/132 - (477119*s[49])/44 + (922616*s[50])/33 - 
       (1006957*s[51])/396 - (124837*s[52])/132 - (6456145*s[53])/297 + 
       (30694*s[54])/99 - (62829263*s[55])/396 - (54195731*s[56])/1188 - 
       (45133057*s[57])/891 - (426950371*s[58])/10692 + 
       (456621643*s[59])/10692 + (830654827*s[60])/2376 - 
       (1101403979*s[61])/48114 + 8*s[63] + 28*s[65] + 112*s[66] - 
       168*s[67] - (412*s[68])/3 - 160*s[69] + 12*s[70] - 64*s[71] - 
       168*s[72] - 224*s[73] + 166*s[74] - 166*s[75] - (968*s[76])/3 - 
       76*s[77] + 76*s[78] + (1712*s[79])/3 - (2582*s[80])/9 + 3456*s[82] - 
       3*s[83] + 42*s[84] + 888*s[85])*\[Zeta][2] + 
     Qep[w, u, v]*(-224*s[2] + (7504*s[3])/9 + (32392*s[4])/9 + 
       (671120*s[5])/99 + (502232*s[6])/33 + (81136604*s[7])/891 - 
       (17888632*s[8])/2673 - (19121552*s[9])/243 - (4403152*s[10])/243 - 
       (90006692*s[11])/891 - (99670528*s[12])/891 - (2272132*s[13])/33 - 
       (19533908*s[14])/891 - (990260*s[15])/9 - (43499360*s[16])/297 - 
       (97831708*s[17])/891 - (19128640*s[18])/729 + (433864*s[19])/729 - 
       (1484330504*s[20])/8019 - (627679148*s[21])/8019 + 
       (382680652*s[22])/8019 + (12949600*s[23])/99 + 
       (655528816*s[24])/8019 - (8848809080*s[25])/72171 + 
       (5591489624*s[26])/72171 + (128*s[30])/3 + (448*s[31])/9 + 
       (1120*s[32])/9 + (928*s[33])/9 - (1600*s[34])/9 - (256*s[35])/3 - 
       (704*s[36])/9 + (20624*s[37])/27 + (11200*s[38])/3 - (49952*s[39])/3 + 
       (161632*s[40])/9 - (113216*s[41])/9 + (225640*s[42])/9 + 
       (1048096*s[43])/99 - (1256032*s[44])/99 + (3802232*s[45])/297 - 
       (31232552*s[46])/297 + (3316384*s[47])/297 - (1779872*s[48])/297 - 
       (13280920*s[49])/297 + (7072768*s[50])/99 + (5345272*s[51])/297 + 
       (4933568*s[52])/297 - (44427640*s[53])/891 + (5583136*s[54])/297 - 
       (91844552*s[55])/297 - (94949432*s[56])/891 + (568436936*s[57])/2673 - 
       (1620215128*s[58])/8019 + (1512659872*s[59])/8019 + 
       (678135616*s[60])/891 - (3739094476*s[61])/72171 - (128*s[65])/3 - 
       (512*s[66])/3 + 256*s[67] + (2240*s[68])/9 + 192*s[69] + 
       (64*s[70])/3 + (64*s[71])/3 + (640*s[72])/3 + (512*s[73])/3 - 
       (416*s[74])/3 + (416*s[75])/3 + (2560*s[76])/9 - (64*s[77])/3 + 
       (704*s[78])/3 + (4736*s[79])/9 - (20000*s[80])/27 - (6272*s[82])/3 + 
       (2816*s[85])/3)*\[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      (36*s[2] + (2375*s[3])/2 + (43763*s[4])/4 + (92628*s[5])/11 + 
       (833375*s[6])/44 + (148645055*s[7])/792 - (18007487*s[8])/1188 - 
       (4257811*s[9])/27 - (2882869*s[10])/54 - (162208157*s[11])/792 - 
       (87595619*s[12])/396 - (11509121*s[13])/88 - (19732115*s[14])/792 - 
       (6172487*s[15])/24 - (42495841*s[16])/132 - (201504031*s[17])/792 - 
       (2632730*s[18])/81 - (10667335*s[19])/324 - (1351813669*s[20])/3564 - 
       (970626101*s[21])/7128 + (700240369*s[22])/7128 + (4374185*s[23])/22 + 
       (379481227*s[24])/1782 - (8332806901*s[25])/32076 + 
       (4574388253*s[26])/32076 - 36*s[30] - 112*s[31] + 28*s[32] - 
       99*s[33] + 118*s[34] - 348*s[35] - 540*s[36] + (1303*s[37])/3 + 
       6059*s[38] - 22945*s[39] + 25673*s[40] - 20383*s[41] + 32140*s[42] + 
       (246971*s[43])/11 - (245096*s[44])/11 + (1913525*s[45])/66 - 
       (13756541*s[46])/66 + (181598*s[47])/33 + (222023*s[48])/33 - 
       (3417653*s[49])/33 + (1809003*s[50])/11 + (239982*s[51])/11 + 
       (560509*s[52])/33 - (22809715*s[53])/198 - (191635*s[54])/33 - 
       (24351431*s[55])/33 - (18117133*s[56])/99 + (32766472*s[57])/297 - 
       (543398575*s[58])/1782 + (280853030*s[59])/891 + 
       (695786585*s[60])/396 - (2961885917*s[61])/32076 + 12*s[65] + 
       48*s[66] - 72*s[67] - 32*s[68] - 108*s[69] + 132*s[70] - 12*s[71] + 
       24*s[72] + 156*s[73] - 42*s[74] + 42*s[75] + 88*s[76] - 68*s[77] - 
       192*s[78] + 1252*s[79] + (14*s[80])/3 + 5994*s[82] - 117*s[83] + 
       810*s[84] + 1512*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w]*((-417*s[2])/2 + (4483*s[3])/4 + 
       (60185*s[4])/8 + (71727*s[5])/11 + (1465735*s[6])/88 + 
       (24175953*s[7])/176 - (25018573*s[8])/2376 - (12509407*s[9])/108 - 
       (4080797*s[10])/108 - (236833519*s[11])/1584 - (32022229*s[12])/198 - 
       (151947229*s[13])/1584 - (40881427*s[14])/1584 - 
       (26562755*s[15])/144 - (23061316*s[16])/99 - (292129549*s[17])/1584 - 
       (8777069*s[18])/324 - (12364691*s[19])/648 - (2009218115*s[20])/7128 - 
       (1481441869*s[21])/14256 + (1018771409*s[22])/14256 + 
       (57852425*s[23])/396 + (270409225*s[24])/1782 - 
       (1500271678*s[25])/8019 + (1710523577*s[26])/16038 + 6*s[29] + 
       21*s[30] - 130*s[31] + 143*s[32] - (227*s[33])/2 + 325*s[34] - 
       63*s[35] + (613*s[36])/3 + (823*s[37])/3 + 4189*s[38] - 14925*s[39] + 
       (52202*s[40])/3 - (27189*s[41])/2 + (61411*s[42])/3 + 
       (529789*s[43])/33 - (3878507*s[44])/264 + (1648901*s[45])/66 - 
       (10660993*s[46])/66 + (2558689*s[47])/792 + (5762593*s[48])/792 - 
       (53591563*s[49])/792 + (8125277*s[50])/66 + (11721593*s[51])/792 + 
       (10008731*s[52])/792 - (34662799*s[53])/396 + (163924*s[54])/33 - 
       (50644657*s[55])/88 - (13915409*s[56])/88 + (30122483*s[57])/396 - 
       (567449953*s[58])/2376 + (568497961*s[59])/2376 + 
       (6392251729*s[60])/4752 - (70472026*s[61])/891 + 27*s[65] + 98*s[66] - 
       162*s[67] - 2*s[68] - 356*s[69] + 108*s[70] - 48*s[71] - 42*s[72] + 
       378*s[73] + (87*s[74])/2 - (87*s[75])/2 - 24*s[76] + 35*s[77] - 
       258*s[78] + 1548*s[79] - (1516*s[80])/3 + 5298*s[82] - 117*s[83] + 
       810*s[84] + 2136*s[85])*\[Zeta][2] + HPL[{0, 0, 1, 1, 1}, 1 - u]*
      (3024*s[2] + 422*s[3] + 37435*s[4] + (722853*s[5])/22 + 
       (877571*s[6])/11 + (136510351*s[7])/198 - (13641514*s[8])/297 - 
       (15714062*s[9])/27 - (10712981*s[10])/54 - (300946097*s[11])/396 - 
       (322918015*s[12])/396 - (16297210*s[13])/33 - (21825967*s[14])/198 - 
       (2805518*s[15])/3 - (26058429*s[16])/22 - (375948169*s[17])/396 - 
       (9339214*s[18])/81 - (20374513*s[19])/162 - (2465010721*s[20])/1782 - 
       (454299080*s[21])/891 + (644259167*s[22])/1782 + 
       (88794059*s[23])/132 + (2816904667*s[24])/3564 - 
       (15293098195*s[25])/16038 + (4265201834*s[26])/8019 - 372*s[30] + 
       796*s[31] - 508*s[32] + 156*s[33] - 1168*s[34] + 354*s[35] - 
       2168*s[36] + (3533*s[37])/3 + 24508*s[38] - 81968*s[39] + 
       92572*s[40] - 72662*s[41] + 108014*s[42] + (1019728*s[43])/11 - 
       (1859567*s[44])/22 + (7344481*s[45])/66 - (51346231*s[46])/66 + 
       (473353*s[47])/66 + (3171433*s[48])/66 - (27132559*s[49])/66 + 
       (6609505*s[50])/11 + (1491055*s[51])/22 + (3777275*s[52])/66 - 
       (83744147*s[53])/198 - (962366*s[54])/33 - (180402569*s[55])/66 - 
       (135161377*s[56])/198 + (101744708*s[57])/297 - 
       (993033532*s[58])/891 + (2082459845*s[59])/1782 + 
       (218028619*s[60])/33 - (10888818121*s[61])/32076 + 60*s[65] + 
       240*s[66] - 360*s[67] - 640*s[68] + 528*s[69] + 132*s[70] - 
       180*s[71] - 336*s[72] - 2496*s[73] + 252*s[74] - 252*s[75] - 
       2008*s[76] - 712*s[77] + 1740*s[78] + 5528*s[79] - (2378*s[80])/3 + 
       22176*s[82] + 144*s[83] + 1152*s[84] + 3024*s[85])*\[Zeta][2] + 
     HPL[{0, 0, 1, 1, 1}, 1 - w]*(3273*s[2] - (1415*s[3])/2 + 
       (93215*s[4])/4 + (327033*s[5])/11 + (2720087*s[6])/44 + 
       (46858239*s[7])/88 - (33913657*s[8])/1188 - (12325787*s[9])/27 - 
       (8711219*s[10])/54 - (460784323*s[11])/792 - (241900735*s[12])/396 - 
       (290780803*s[13])/792 - (91011001*s[14])/792 - (53243285*s[15])/72 - 
       (91240661*s[16])/99 - (606217873*s[17])/792 - (7403329*s[18])/81 - 
       (31136075*s[19])/324 - (3915181427*s[20])/3564 - 
       (2988343375*s[21])/7128 + (2001243515*s[22])/7128 + 
       (181925191*s[23])/396 + (2200005283*s[24])/3564 - 
       (22830807845*s[25])/32076 + (13297455407*s[26])/32076 + 168*s[29] - 
       66*s[30] + 796*s[31] - 446*s[32] - 158*s[33] - 1126*s[34] + 
       438*s[35] - (4180*s[36])/3 + (3701*s[37])/3 + 18738*s[38] - 
       (108555*s[39])/2 + (371585*s[40])/6 - (96825*s[41])/2 + 
       (404449*s[42])/6 + (4484071*s[43])/66 - (3819265*s[44])/66 + 
       (5957383*s[45])/66 - (19205827*s[46])/33 - (398191*s[47])/198 + 
       (4373038*s[48])/99 - (58429343*s[49])/198 + (14859293*s[50])/33 + 
       (4171064*s[51])/99 + (3641015*s[52])/99 - (63066529*s[53])/198 - 
       (920122*s[54])/33 - (23076111*s[55])/11 - (34772077*s[56])/66 + 
       (10198829*s[57])/66 - (241802183*s[58])/297 + (255036344*s[59])/297 + 
       (1489561763*s[60])/297 - (697278850*s[61])/2673 + 96*s[65] + 
       424*s[66] - 576*s[67] - 568*s[68] - 136*s[69] + 240*s[70] - 
       180*s[71] - 564*s[72] - 2460*s[73] + 441*s[74] - 441*s[75] - 
       1836*s[76] - 626*s[77] + 1008*s[78] + 4728*s[79] - (1538*s[80])/3 + 
       22176*s[82] + 144*s[83] + 1152*s[84] + 3024*s[85])*\[Zeta][2] + 
     HPL[{0, 0, 1, 1, 1}, 1 - v]*(2869*s[2] + (3481*s[3])/2 + 
       (136525*s[4])/4 + (327136*s[5])/11 + (3240587*s[6])/44 + 
       (497164867*s[7])/792 - (48643841*s[8])/1188 - (14304778*s[9])/27 - 
       (9824071*s[10])/54 - (547580489*s[11])/792 - (146627401*s[12])/198 - 
       (354728503*s[13])/792 - (82044173*s[14])/792 - (61443005*s[15])/72 - 
       (213806005*s[16])/198 - (229100525*s[17])/264 - (8732480*s[18])/81 - 
       (36399325*s[19])/324 - (4500866905*s[20])/3564 - 
       (3332623979*s[21])/7128 + (2343771703*s[22])/7128 + 
       (123004895*s[23])/198 + (638575805*s[24])/891 - 
       (27739665475*s[25])/32076 + (15553481083*s[26])/32076 - 108*s[30] + 
       892*s[31] - 206*s[32] + (483*s[33])/2 - 1148*s[34] + 450*s[35] - 
       (5188*s[36])/3 + (4406*s[37])/3 + 22050*s[38] - (136395*s[39])/2 + 
       (469625*s[40])/6 - (121797*s[41])/2 + (519325*s[42])/6 + 
       (5585167*s[43])/66 - (4809967*s[44])/66 + (3676067*s[45])/33 - 
       (47935631*s[46])/66 - (217201*s[47])/198 + (5323645*s[48])/99 - 
       (72403445*s[49])/198 + (18420638*s[50])/33 + (5286335*s[51])/99 + 
       (4661570*s[52])/99 - (39281096*s[53])/99 - (917404*s[54])/33 - 
       (28619809*s[55])/11 - (14564483*s[56])/22 + (44146019*s[57])/198 - 
       (607851473*s[58])/594 + (319211965*s[59])/297 + 
       (7373895779*s[60])/1188 - (1169583563*s[61])/3564 + 96*s[65] + 
       424*s[66] - 576*s[67] - 868*s[68] + 132*s[69] + 324*s[70] - 
       216*s[71] - 636*s[72] - 2316*s[73] + 531*s[74] - 531*s[75] - 
       2244*s[76] - 902*s[77] + 1404*s[78] + 5328*s[79] - (2540*s[80])/3 + 
       26424*s[82] + 144*s[83] + 1152*s[84] + 3744*s[85])*\[Zeta][2] + 
     HPL[{0, 0, 1}, 1 - u]*((8597*s[2])/10 - (8137*s[3])/20 + 
       (174651*s[4])/40 + (1151377*s[5])/220 + (4229587*s[6])/440 + 
       (257256331*s[7])/2640 - (62154721*s[8])/11880 - (44787049*s[9])/540 - 
       (3533827*s[10])/108 - (838881073*s[11])/7920 - 
       (215055911*s[12])/1980 - (513438919*s[13])/7920 - 
       (141797173*s[14])/7920 - (102192863*s[15])/720 - 
       (687766943*s[16])/3960 - (1183523299*s[17])/7920 - 
       (1041220*s[18])/81 - (77849189*s[19])/3240 - (7109409767*s[20])/
        35640 - (1051288763*s[21])/14256 + (3667055567*s[22])/71280 + 
       (277020691*s[23])/3960 + (4278047629*s[24])/35640 - 
       (10479510923*s[25])/80190 + (11754905131*s[26])/160380 + (8*s[28])/5 + 
       (192*s[29])/5 - (312*s[30])/5 + (981*s[31])/5 - (1819*s[32])/10 + 
       (109*s[33])/5 - (1903*s[34])/5 - (221*s[35])/5 - (3211*s[36])/5 + 
       (10661*s[37])/60 + (15201*s[38])/5 - (202447*s[39])/20 + 
       (227091*s[40])/20 - (37623*s[41])/4 + (249339*s[42])/20 + 
       (3134953*s[43])/220 - (5344039*s[44])/440 + (4048991*s[45])/264 - 
       (142925551*s[46])/1320 - (454562*s[47])/165 + (7037401*s[48])/660 - 
       (21944627*s[49])/330 + (9742873*s[50])/110 + (3818033*s[51])/660 + 
       (5223517*s[52])/1320 - (251333867*s[53])/3960 - (2712581*s[54])/165 - 
       (26638201*s[55])/66 - (165152639*s[56])/1980 - (26731159*s[57])/1485 - 
       (4707375809*s[58])/35640 + (541500863*s[59])/3564 + 
       (7688748889*s[60])/7920 - (27182368051*s[61])/641520 - (12*s[64])/5 + 
       (39*s[65])/5 + 44*s[66] - 66*s[67] - (1116*s[68])/5 + (1476*s[69])/5 + 
       31*s[70] + (19*s[71])/5 - (568*s[72])/5 - (3672*s[73])/5 + 
       (512*s[74])/5 - (536*s[75])/5 - 437*s[76] - (1131*s[77])/5 + 
       (2137*s[78])/5 + (1022*s[79])/5 + (5351*s[80])/30 + (26094*s[82])/5 + 
       (84*s[83])/5 - (216*s[84])/5 - (1236*s[85])/5)*\[Zeta][2]^2 + 
     HPL[{0, 0, 1}, 1 - w]*((7151*s[2])/10 - (3743*s[3])/20 + 
       (263997*s[4])/40 + (299778*s[5])/55 + (5012079*s[6])/440 + 
       (60827813*s[7])/528 - (18955565*s[8])/2376 - (13131439*s[9])/135 - 
       (1873907*s[10])/54 - (200117915*s[11])/1584 - (132419407*s[12])/990 - 
       (634357909*s[13])/7920 - (112104151*s[14])/7920 - 
       (116837657*s[15])/720 - (797173649*s[16])/3960 - 
       (1305663193*s[17])/7920 - (27284561*s[18])/1620 - 
       (80697983*s[19])/3240 - (8157107333*s[20])/35640 - 
       (5929837201*s[21])/71280 + (4326134357*s[22])/71280 + 
       (437662477*s[23])/3960 + (4787401939*s[24])/35640 - 
       (51134277509*s[25])/320760 + (5577075475*s[26])/64152 - 
       (102*s[30])/5 + (1008*s[31])/5 - (1417*s[32])/10 + (497*s[33])/10 - 
       (2124*s[34])/5 - 59*s[35] - (11593*s[36])/15 + (5561*s[37])/12 + 
       (21673*s[38])/5 - (57561*s[39])/4 + (936451*s[40])/60 - 
       (249817*s[41])/20 + (1111991*s[42])/60 + (10990289*s[43])/660 - 
       (19839877*s[44])/1320 + (4947823*s[45])/264 - (11803613*s[46])/88 + 
       (39793*s[47])/495 + (16841629*s[48])/1980 - (77133983*s[49])/990 + 
       (35290477*s[50])/330 + (20288177*s[51])/1980 + (31619803*s[52])/3960 - 
       (100423669*s[53])/1320 - (814232*s[54])/55 - (159820619*s[55])/330 - 
       (214538987*s[56])/1980 + (48218639*s[57])/1485 - 
       (6467005901*s[58])/35640 + (710919101*s[59])/3564 + 
       (27647915759*s[60])/23760 - (34598486959*s[61])/641520 - (4*s[64])/5 + 
       (19*s[65])/5 + (76*s[66])/5 - (138*s[67])/5 - (828*s[68])/5 + 
       272*s[69] + (71*s[70])/5 + 3*s[71] - (316*s[72])/5 - 700*s[73] + 
       (263*s[74])/5 - 55*s[75] - (2608*s[76])/5 - (849*s[77])/5 + 
       545*s[78] + (2114*s[79])/5 + (9469*s[80])/30 + (26094*s[82])/5 + 
       (84*s[83])/5 - (216*s[84])/5 - (1236*s[85])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*((924*s[2])/5 + (178*s[3])/3 + 
       (90367*s[4])/30 + (456671*s[5])/330 + (156691*s[6])/55 + 
       (61084378*s[7])/1485 - (14783771*s[8])/4455 - (13881871*s[9])/405 - 
       (10319983*s[10])/810 - (66830944*s[11])/1485 - (28625675*s[12])/594 - 
       (28006027*s[13])/990 - (2906206*s[14])/1485 - (535751*s[15])/9 - 
       (11980537*s[16])/165 - (86257337*s[17])/1485 - (5678951*s[18])/1215 - 
       (13268188*s[19])/1215 - (1083253378*s[20])/13365 - 
       (712704329*s[21])/26730 + (289651829*s[22])/13365 + 
       (3968234*s[23])/99 + (674765639*s[24])/13365 - 
       (14132171927*s[25])/240570 + (7123705157*s[26])/240570 - 
       (38*s[30])/5 + (272*s[31])/15 - (754*s[32])/15 + (649*s[33])/30 - 
       (1166*s[34])/15 - 68*s[35] - (4204*s[36])/15 + (656*s[37])/9 + 
       (7258*s[38])/5 - (26141*s[39])/5 + (84719*s[40])/15 - 
       (71638*s[41])/15 + (106562*s[42])/15 + (926597*s[43])/165 - 
       (903062*s[44])/165 + (2506516*s[45])/495 - (21076123*s[46])/495 + 
       (190423*s[47])/990 + (2292853*s[48])/990 - (27423457*s[49])/990 + 
       (5904626*s[50])/165 + (4186267*s[51])/990 + (1320337*s[52])/495 - 
       (36924737*s[53])/1485 - (3148537*s[54])/495 - (153018713*s[55])/990 - 
       (88920137*s[56])/2970 + (6359885*s[57])/891 - (1467220849*s[58])/
        26730 + (1668099661*s[59])/26730 + (2248300649*s[60])/5940 - 
       (3601269589*s[61])/240570 - (4*s[64])/5 + (16*s[65])/5 + 16*s[66] - 
       24*s[67] - (728*s[68])/15 + (236*s[69])/5 + (44*s[70])/5 + 
       (36*s[71])/5 - (72*s[72])/5 - (696*s[73])/5 - (34*s[74])/5 + 
       (26*s[75])/5 - (1576*s[76])/15 - (44*s[77])/5 + (324*s[78])/5 + 
       (3472*s[79])/15 + (6932*s[80])/45 + (9836*s[82])/5 + (12*s[83])/5 + 
       (1008*s[84])/5 - 216*s[85])*\[Zeta][2]^2 + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*((971*s[2])/5 - (1393*s[3])/30 + 
       (129697*s[4])/60 + (72065*s[5])/66 + (694527*s[6])/220 + 
       (81693881*s[7])/2376 - (44569999*s[8])/17820 - (11677247*s[9])/405 - 
       (4371049*s[10])/405 - (445066087*s[11])/11880 - 
       (59032612*s[12])/1485 - (94668967*s[13])/3960 - 
       (47267611*s[14])/11880 - (17497457*s[15])/360 - (59533997*s[16])/990 - 
       (577633409*s[17])/11880 - (5113633*s[18])/1215 - (7902631*s[19])/972 - 
       (3680141519*s[20])/53460 - (2502563017*s[21])/106920 + 
       (1943644433*s[22])/106920 + (29086103*s[23])/990 + 
       (112234205*s[24])/2673 - (4619508787*s[25])/96228 + 
       (12104443463*s[26])/481140 + (4*s[28])/5 + (8*s[29])/5 + 
       (14*s[30])/5 + (4*s[31])/15 - (190*s[32])/3 + (316*s[33])/15 - 
       (346*s[34])/15 - (164*s[35])/5 - (2941*s[36])/15 - (5923*s[37])/45 + 
       (6463*s[38])/5 - (110893*s[39])/20 + (126169*s[40])/20 - 
       (330293*s[41])/60 + (472577*s[42])/60 + (4066553*s[43])/660 - 
       (1621859*s[44])/264 + (2530076*s[45])/495 - (90838421*s[46])/1980 + 
       (31351*s[47])/1320 + (4135957*s[48])/1320 - (13003871*s[49])/440 + 
       (6341102*s[50])/165 + (18995659*s[51])/3960 + (4008319*s[52])/1320 - 
       (78614321*s[53])/2970 - (2509841*s[54])/495 - (649633783*s[55])/3960 - 
       (79025051*s[56])/2376 + (80842447*s[57])/8910 - 
       (6321686237*s[58])/106920 + (7075379411*s[59])/106920 + 
       (9623381357*s[60])/23760 - (3172421479*s[61])/192456 - (4*s[64])/5 + 
       (4*s[65])/5 + (16*s[66])/5 - (48*s[67])/5 - (1336*s[68])/15 + 
       (484*s[69])/5 + (12*s[70])/5 - (44*s[71])/5 + 8*s[72] - 
       (346*s[73])/5 - (54*s[74])/5 + (46*s[75])/5 - (356*s[76])/15 - 
       (284*s[77])/5 + (138*s[78])/5 + (7724*s[79])/15 + (436*s[80])/45 + 
       (4632*s[82])/5 - (12*s[83])/5 + (1296*s[84])/5 - (856*s[85])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      (56*s[2] + (17*s[3])/5 - (63*s[4])/5 - (49693*s[5])/110 - 
       (10933*s[6])/55 - (2745659*s[7])/660 + (237119*s[8])/594 + 
       (103049*s[9])/27 + (282709*s[10])/270 + (2161669*s[11])/495 + 
       (9282107*s[12])/1980 + (1007705*s[13])/396 + (357815*s[14])/396 + 
       (1020341*s[15])/180 + (678743*s[16])/99 + (5277131*s[17])/990 + 
       (476447*s[18])/405 + (6671*s[19])/81 + (41395396*s[20])/4455 + 
       (14061635*s[21])/3564 - (40642721*s[22])/17820 - 
       (10197173*s[23])/1980 - (68527451*s[24])/17820 + 
       (83390275*s[25])/16038 - (137326633*s[26])/40095 + 8*s[30] - 
       (77*s[32])/5 + 12*s[34] + 24*s[35] + 64*s[36] - (1654*s[37])/15 - 
       (691*s[38])/5 + (2327*s[39])/10 - (1291*s[40])/10 - (222*s[41])/5 - 
       (2351*s[42])/10 + (599*s[43])/22 + (524*s[44])/11 - 
       (227741*s[45])/330 + (85025*s[46])/33 - (212437*s[47])/660 + 
       (67825*s[48])/132 + (77521*s[49])/660 - (95257*s[50])/55 - 
       (119183*s[51])/660 - (96757*s[52])/330 + (1314337*s[53])/990 + 
       (8875*s[54])/66 + (2237509*s[55])/220 + (6349393*s[56])/1980 - 
       (5048299*s[57])/1485 + (94307129*s[58])/17820 - 
       (85857803*s[59])/17820 - (26933147*s[60])/1320 + 
       (245019683*s[61])/160380 - (86*s[68])/5 + (156*s[69])/5 - 6*s[71] - 
       46*s[73] + 6*s[74] - 6*s[75] + 8*s[76] - (126*s[77])/5 + 88*s[79] - 
       (322*s[80])/3 - (2128*s[82])/5 - (208*s[85])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*((-254*s[2])/5 - 14*s[3] + 
       (101*s[4])/10 + (3009*s[5])/55 - (31387*s[6])/110 - 
       (469133*s[7])/495 - (296971*s[8])/1485 + (88372*s[9])/135 + 
       (129338*s[10])/135 + (1882387*s[11])/1980 + (528001*s[12])/990 + 
       (686747*s[13])/1980 + (453527*s[14])/396 + (180689*s[15])/90 + 
       (4766879*s[16])/1980 + (2098009*s[17])/660 - (108106*s[18])/405 + 
       (787229*s[19])/810 + (4545811*s[20])/1782 + (11927173*s[21])/17820 - 
       (7723379*s[22])/17820 + (6928223*s[23])/1980 - (9247393*s[24])/3564 + 
       (146042569*s[25])/160380 - (81032491*s[26])/160380 - (8*s[30])/5 + 
       14*s[32] - (74*s[34])/5 - (176*s[35])/5 - (829*s[36])/15 + 
       (829*s[37])/6 + (614*s[38])/5 - (4517*s[39])/20 + (1247*s[40])/12 + 
       (1523*s[41])/20 + (4165*s[42])/12 - (180007*s[43])/660 + 
       (54301*s[44])/264 - (9527*s[45])/660 + (115339*s[46])/110 + 
       (522457*s[47])/792 - (4565281*s[48])/3960 + (5783917*s[49])/3960 - 
       (240214*s[50])/165 + (1292443*s[51])/3960 + (1885501*s[52])/3960 + 
       (32741*s[53])/33 + (36054*s[54])/55 + (7852351*s[55])/1320 + 
       (125387*s[56])/3960 + (15212258*s[57])/1485 - (83690249*s[58])/35640 + 
       (8996905*s[59])/7128 - (372427333*s[60])/23760 + 
       (49153607*s[61])/160380 + (84*s[68])/5 - (184*s[69])/5 + 2*s[71] + 
       48*s[73] - (37*s[74])/5 + (37*s[75])/5 - (88*s[76])/5 + 
       (134*s[77])/5 + (48*s[78])/5 - (336*s[79])/5 + (1799*s[80])/15 - 
       (2128*s[82])/5 - (208*s[85])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*((-213*s[2])/5 + (262*s[3])/5 - 
       (3414*s[4])/5 - (69827*s[5])/110 - (118727*s[6])/110 - 
       (144930*s[7])/11 + (261089*s[8])/330 + (336673*s[9])/30 + 
       (128753*s[10])/30 + (1590487*s[11])/110 + (1666681*s[12])/110 + 
       (498379*s[13])/55 + (93517*s[14])/55 + (570743*s[15])/30 + 
       (1281583*s[16])/55 + (2124289*s[17])/110 + (143051*s[18])/90 + 
       (307621*s[19])/90 + (13154447*s[20])/495 + (4692323*s[21])/495 - 
       (3473992*s[22])/495 - (548231*s[23])/55 - (16140263*s[24])/990 + 
       (324694193*s[25])/17820 - (174779951*s[26])/17820 - 16*s[31] + 
       (51*s[32])/5 - 24*s[33] + 52*s[34] + 16*s[35] + (292*s[36])/3 - 
       (754*s[37])/15 - (2742*s[38])/5 + 1578*s[39] - (4954*s[40])/3 + 
       (6721*s[41])/5 - (56579*s[42])/30 - (28196*s[43])/15 + 
       (20491*s[44])/12 - (36071*s[45])/15 + (242209*s[46])/15 + 
       (24293*s[47])/180 - (212779*s[48])/180 + (1667323*s[49])/180 - 
       (198614*s[50])/15 - (36097*s[51])/36 - (132527*s[52])/180 + 
       (83629*s[53])/9 + (37867*s[54])/15 + (3617563*s[55])/60 + 
       (256281*s[56])/20 + (36631*s[57])/90 + (2250641*s[58])/108 - 
       (2502719*s[59])/108 - (31230461*s[60])/216 + (705755*s[61])/108 + 
       (84*s[68])/5 - (134*s[69])/5 - 4*s[70] - 2*s[71] + 8*s[72] + 
       (246*s[73])/5 - 4*s[74] + 4*s[75] + 48*s[76] + (84*s[77])/5 - 
       44*s[78] - (220*s[80])/3 - (4416*s[82])/5 - (192*s[85])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      ((-326*s[2])/5 + (9*s[3])/5 - (6749*s[4])/10 - (72143*s[5])/110 - 
       (67596*s[6])/55 - (2649637*s[7])/198 + (2517643*s[8])/2970 + 
       (1529728*s[9])/135 + (579314*s[10])/135 + (29047981*s[11])/1980 + 
       (3049199*s[12])/198 + (6083639*s[13])/660 + (3865453*s[14])/1980 + 
       (573121*s[15])/30 + (5204607*s[16])/220 + (38876801*s[17])/1980 + 
       (287357*s[18])/162 + (1301308*s[19])/405 + (120917161*s[20])/4455 + 
       (173772211*s[21])/17820 - (25280713*s[22])/3564 - 
       (7149583*s[23])/660 - (58448077*s[24])/3564 + (1476592079*s[25])/
        80190 - (401708446*s[26])/40095 + (64*s[30])/5 - 12*s[31] + 
       14*s[32] - 18*s[33] + (204*s[34])/5 + (32*s[35])/5 + (464*s[36])/5 - 
       (148*s[37])/15 - (2238*s[38])/5 + 1470*s[39] - (8154*s[40])/5 + 
       (6651*s[41])/5 - (18381*s[42])/10 - (20530*s[43])/11 + 
       (188923*s[44])/110 - (73418*s[45])/33 + (2544934*s[46])/165 + 
       (32276*s[47])/165 - (208492*s[48])/165 + (2953433*s[49])/330 - 
       (697902*s[50])/55 - (323219*s[51])/330 - (220027*s[52])/330 + 
       (8866153*s[53])/990 + (365989*s[54])/165 + (1897678*s[55])/33 + 
       (12175541*s[56])/990 + (943499*s[57])/1485 + (87811817*s[58])/4455 - 
       (195834403*s[59])/8910 - (30318883*s[60])/220 + 
       (202008979*s[61])/32076 + (104*s[68])/5 - (184*s[69])/5 - 4*s[70] - 
       (14*s[71])/5 + 8*s[72] + 64*s[73] - (38*s[74])/5 + (38*s[75])/5 + 
       (72*s[76])/5 + (124*s[77])/5 - (152*s[78])/5 - (96*s[79])/5 - 
       (64*s[80])/3 - (4416*s[82])/5 - (192*s[85])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - w]^3*((-8*s[1])/15 + (67*s[2])/10 - (143*s[3])/12 - 
       (10137*s[4])/40 - (44031*s[5])/110 - (154765*s[6])/264 - 
       (132493181*s[7])/23760 + (18879647*s[8])/35640 + (1965404*s[9])/405 + 
       (952781*s[10])/810 + (144756317*s[11])/23760 + (40045303*s[12])/5940 + 
       (6280541*s[13])/1584 + (3187717*s[14])/4752 + (1037561*s[15])/144 + 
       (3995901*s[16])/440 + (160016731*s[17])/23760 + (1369673*s[18])/972 + 
       (2498713*s[19])/9720 + (1200993931*s[20])/106920 + 
       (970041071*s[21])/213840 - (634089211*s[22])/213840 - 
       (6518651*s[23])/792 - (559289351*s[24])/106920 + 
       (7309475197*s[25])/962280 - (872496095*s[26])/192456 + 2*s[30] - 
       (8*s[31])/3 - (13*s[32])/2 - (14*s[33])/3 + (44*s[34])/3 + 19*s[35] + 
       33*s[36] - (10961*s[37])/180 - (1124*s[38])/5 + (64813*s[39])/60 - 
       (13109*s[40])/12 + (47903*s[41])/60 - (99709*s[42])/60 - 
       (117273*s[43])/220 + (333379*s[44])/440 - (455783*s[45])/792 + 
       (22442323*s[46])/3960 - (44684*s[47])/55 + (175321*s[48])/220 + 
       (146691*s[49])/55 - (449539*s[50])/110 - (255683*s[51])/220 - 
       (1306289*s[52])/1320 + (33890123*s[53])/11880 - (644051*s[54])/990 + 
       (8390204*s[55])/495 + (5965345*s[56])/1188 - (57284708*s[57])/4455 + 
       (1195239653*s[58])/106920 - (573585223*s[59])/53460 - 
       (965235497*s[60])/23760 + (952849943*s[61])/384912 + 3*s[65] + 
       12*s[66] - 18*s[67] - (58*s[68])/3 - (34*s[69])/3 - s[70] - 5*s[71] - 
       16*s[72] - 20*s[73] + 14*s[74] - 14*s[75] - (56*s[76])/3 - 5*s[77] - 
       11*s[78] + (62*s[79])/3 - (169*s[80])/18 + (662*s[82])/5 - 4*s[85])*
      \[Zeta][2]^2 + HPL[{1}, 1 - u]^3*((5*s[2])/2 - (1331*s[3])/60 - 
       (9357*s[4])/40 - (15393*s[5])/44 - (297797*s[6])/440 - 
       (25319749*s[7])/4752 + (5001503*s[8])/11880 + (2472617*s[9])/540 + 
       (697051*s[10])/540 + (46238119*s[11])/7920 + (6280253*s[12])/990 + 
       (90812167*s[13])/23760 + (8164591*s[14])/7920 + 
       (15009143*s[15])/2160 + (21136735*s[16])/2376 + 
       (164609063*s[17])/23760 + (984943*s[18])/810 + (1458371*s[19])/3240 + 
       (387814613*s[20])/35640 + (102311663*s[21])/23760 - 
       (40033841*s[22])/14256 - (77070733*s[23])/11880 - 
       (193893413*s[24])/35640 + (128475709*s[25])/17820 - 
       (19167922*s[26])/4455 + 4*s[30] - (5*s[31])/3 - (13*s[32])/6 - 
       (31*s[33])/6 + (29*s[34])/3 + 13*s[35] + (107*s[36])/5 - 
       (1661*s[37])/60 - (2608*s[38])/15 + (3867*s[39])/4 - (4087*s[40])/4 + 
       (46727*s[41])/60 - (90209*s[42])/60 - (374251*s[43])/660 + 
       (338407*s[44])/440 - (498559*s[45])/1320 + (6511979*s[46])/1320 - 
       (1222483*s[47])/1980 + (456127*s[48])/990 + (5530453*s[49])/1980 - 
       (1202771*s[50])/330 - (1002283*s[51])/990 - (3261967*s[52])/3960 + 
       (9803779*s[53])/3960 - (64429*s[54])/110 + (3144169*s[55])/220 + 
       (224476*s[56])/55 - (1723687*s[57])/165 + (109635301*s[58])/11880 - 
       (26640517*s[59])/2970 - (173286073*s[60])/4752 + 
       (430339117*s[61])/213840 + 3*s[65] + 12*s[66] - 18*s[67] - 
       (40*s[68])/3 - 20*s[69] - s[70] - (24*s[71])/5 - 16*s[72] - 8*s[73] + 
       12*s[74] - 12*s[75] - (59*s[76])/3 + (7*s[77])/3 - 13*s[78] - 
       (94*s[79])/5 + (821*s[80])/30 + (662*s[82])/5 - 4*s[85])*
      \[Zeta][2]^2 + HPL[{1}, 1 - v]^3*((13*s[2])/2 - (65*s[3])/12 - 
       (3937*s[4])/24 - (167771*s[5])/660 - (123111*s[6])/440 - 
       (76924943*s[7])/23760 + (10959779*s[8])/35640 + (4585487*s[9])/1620 + 
       (238391*s[10])/324 + (84152807*s[11])/23760 + (4575635*s[12])/1188 + 
       (18243779*s[13])/7920 + (5063171*s[14])/23760 + (3156451*s[15])/720 + 
       (21453911*s[16])/3960 + (98409229*s[17])/23760 + 
       (1668653*s[18])/2430 + (3320623*s[19])/9720 + (684089257*s[20])/
        106920 + (536087177*s[21])/213840 - (371780857*s[22])/213840 - 
       (18225407*s[23])/3960 - (343322567*s[24])/106920 + 
       (2160373073*s[25])/481140 - (304976294*s[26])/120285 + 2*s[30] - 
       (5*s[31])/3 - (13*s[32])/6 - (31*s[33])/6 + (41*s[34])/3 + 19*s[35] + 
       31*s[36] - (4883*s[37])/180 - (659*s[38])/5 + (15559*s[39])/20 - 
       (46697*s[40])/60 + (34649*s[41])/60 - (24773*s[42])/20 - 
       (64753*s[43])/220 + (239279*s[44])/440 - (245353*s[45])/3960 + 
       (2105441*s[46])/792 - (1207469*s[47])/1980 + (346426*s[48])/495 + 
       (3745343*s[49])/1980 - (22972*s[50])/11 - (91257*s[51])/110 - 
       (2466263*s[52])/3960 + (16054637*s[53])/11880 - (10768*s[54])/495 + 
       (13450739*s[55])/1980 + (897203*s[56])/594 - (82259959*s[57])/8910 + 
       (619180457*s[58])/106920 - (76548559*s[59])/13365 - 
       (28629323*s[60])/1584 + (300533693*s[61])/384912 + 3*s[65] + 
       12*s[66] - 18*s[67] - (37*s[68])/3 - 20*s[69] - s[70] - 5*s[71] - 
       16*s[72] - 8*s[73] + 14*s[74] - 14*s[75] - (56*s[76])/3 + s[77] - 
       11*s[78] + (50*s[79])/3 - (133*s[80])/18 + (718*s[82])/5 + 28*s[85])*
      \[Zeta][2]^2 + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((4178*s[2])/5 + (442*s[3])/5 + (94311*s[4])/10 + (842243*s[5])/110 + 
       (949233*s[6])/55 + (161232077*s[7])/990 - (5899088*s[8])/495 - 
       (6167833*s[9])/45 - (4252759*s[10])/90 - (29447588*s[11])/165 - 
       (62821339*s[12])/330 - (22540631*s[13])/198 - (3538163*s[14])/165 - 
       (20346983*s[15])/90 - (279446113*s[16])/990 - (22614326*s[17])/99 - 
       (3516859*s[18])/135 - (4262891*s[19])/135 - (481973264*s[20])/1485 - 
       (117040981*s[21])/990 + (126790871*s[22])/1485 + 
       (163947029*s[23])/990 + (553003897*s[24])/2970 - 
       (1004232049*s[25])/4455 + (110360606*s[26])/891 - (158*s[30])/5 + 
       (1124*s[31])/5 - (818*s[32])/5 + (79*s[33])/2 - (2194*s[34])/5 - 
       (164*s[35])/5 - (12674*s[36])/15 + (2843*s[37])/5 + (27772*s[38])/5 - 
       (202441*s[39])/10 + (668791*s[40])/30 - (177333*s[41])/10 + 
       (819011*s[42])/30 + (7224677*s[43])/330 - (13563361*s[44])/660 + 
       (2735657*s[45])/110 - (6011648*s[46])/33 + (4389887*s[47])/1980 + 
       (3611077*s[48])/396 - (199323629*s[49])/1980 + (23610508*s[50])/165 + 
       (32267857*s[51])/1980 + (25292239*s[52])/1980 - (50449508*s[53])/495 - 
       (1934146*s[54])/165 - (142394033*s[55])/220 - (304204499*s[56])/1980 + 
       (22411252*s[57])/297 - (4570142947*s[58])/17820 + 
       (980254139*s[59])/3564 + (18385538609*s[60])/11880 - 
       (3050181454*s[61])/40095 + (32*s[65])/5 + (144*s[66])/5 - 
       (192*s[67])/5 - 192*s[68] + 280*s[69] + (92*s[70])/5 - (8*s[71])/5 - 
       (272*s[72])/5 - (3456*s[73])/5 + (164*s[74])/5 - (168*s[75])/5 - 
       568*s[76] - (1104*s[77])/5 + (2868*s[78])/5 + (4272*s[79])/5 + 
       (618*s[80])/5 + (26372*s[82])/5 + 12*s[83] + (1008*s[84])/5 + 
       (408*s[85])/5)*\[Zeta][2]^2 + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((117*s[2])/10 + (3613*s[3])/60 + (315329*s[4])/120 - 
       (30823*s[5])/165 + (221405*s[6])/88 + (539466263*s[7])/23760 - 
       (91611269*s[8])/35640 - (7277306*s[9])/405 - (2129638*s[10])/405 - 
       (616156439*s[11])/23760 - (89931833*s[12])/2970 - 
       (150481303*s[13])/7920 + (52771993*s[14])/23760 - 
       (20094599*s[15])/720 - (49337747*s[16])/1320 - 
       (588250489*s[17])/23760 - (12912139*s[18])/4860 - 
       (9602171*s[19])/1944 - (4185563281*s[20])/106920 - 
       (2320631969*s[21])/213840 + (2511186853*s[22])/213840 + 
       (128992729*s[23])/3960 + (545136013*s[24])/21384 - 
       (6974200745*s[25])/192456 + (15623056651*s[26])/962280 - (4*s[28])/5 - 
       (64*s[29])/5 + 18*s[30] - (128*s[31])/15 - (199*s[32])/30 - 
       (143*s[33])/15 + (632*s[34])/15 + (251*s[35])/5 - (17*s[36])/5 - 
       (17881*s[37])/180 + (4931*s[38])/5 - (71773*s[39])/20 + 
       (261467*s[40])/60 - (44347*s[41])/12 + (19737*s[42])/4 + 
       (190655*s[43])/44 - (1765317*s[44])/440 + (17567233*s[45])/3960 - 
       (135839257*s[46])/3960 - (250843*s[47])/1980 + (2981611*s[48])/990 - 
       (37218569*s[49])/1980 + (593431*s[50])/22 + (1076699*s[51])/330 + 
       (10173749*s[52])/3960 - (218202617*s[53])/11880 - (59116*s[54])/99 - 
       (234692651*s[55])/1980 - (44587001*s[56])/1485 + 
       (128083669*s[57])/8910 - (5132772497*s[58])/106920 + 
       (668560696*s[59])/13365 + (2331325187*s[60])/7920 - 
       (27681584149*s[61])/1924560 + (39*s[65])/5 + 28*s[66] - 
       (186*s[67])/5 - (1024*s[68])/15 - (68*s[69])/5 - s[70] - 
       (103*s[71])/5 - (104*s[72])/5 - (296*s[73])/5 + (58*s[74])/5 - 
       (58*s[75])/5 - (1424*s[76])/15 - (103*s[77])/5 + (57*s[78])/5 + 
       (11078*s[79])/15 - (17977*s[80])/90 + (2958*s[82])/5 + (48*s[83])/5 + 
       288*s[84] + (444*s[85])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*((75*s[2])/2 + (323*s[3])/12 + 
       (203027*s[4])/120 + (35159*s[5])/660 + (131961*s[6])/88 + 
       (412034657*s[7])/23760 - (12135841*s[8])/7128 - (22911671*s[9])/1620 - 
       (7540747*s[10])/1620 - (459402773*s[11])/23760 - 
       (130567093*s[12])/5940 - (105408137*s[13])/7920 + 
       (10753279*s[14])/23760 - (16179733*s[15])/720 - 
       (114573947*s[16])/3960 - (483313879*s[17])/23760 - 
       (2722408*s[18])/1215 - (7244333*s[19])/1944 - (3434615719*s[20])/
        106920 - (2038307747*s[21])/213840 + (1947103123*s[22])/213840 + 
       (17342359*s[23])/792 + (2124318731*s[24])/106920 - 
       (12612738773*s[25])/481140 + (295987690*s[26])/24057 + (212*s[30])/5 - 
       (41*s[31])/15 - (541*s[32])/30 - (751*s[33])/30 + (539*s[34])/15 - 
       11*s[35] - (337*s[36])/15 + (239*s[37])/180 + (3359*s[38])/5 - 
       (7869*s[39])/4 + (50853*s[40])/20 - (130283*s[41])/60 + 
       (149927*s[42])/60 + (1858949*s[43])/660 - (649685*s[44])/264 + 
       (14684161*s[45])/3960 - (96248113*s[46])/3960 - (197057*s[47])/330 + 
       (1725509*s[48])/660 - (657298*s[49])/55 + (6405139*s[50])/330 + 
       (3531863*s[51])/1980 + (1856221*s[52])/1320 - (31211077*s[53])/2376 - 
       (92155*s[54])/99 - (86986351*s[55])/990 - (132991547*s[56])/5940 + 
       (5316671*s[57])/1782 - (3506437871*s[58])/106920 + 
       (363590657*s[59])/10692 + (5100413663*s[60])/23760 - 
       (20631022573*s[61])/1924560 - (8*s[62])/5 - (4*s[64])/5 + 
       (47*s[65])/5 + (204*s[66])/5 - (282*s[67])/5 - (176*s[68])/3 - 
       (304*s[69])/5 + (31*s[70])/5 - (81*s[71])/5 - (236*s[72])/5 - 
       (172*s[73])/5 + (97*s[74])/5 - (97*s[75])/5 - (223*s[76])/3 + 
       3*s[77] - (279*s[78])/5 + (8978*s[79])/15 - (9811*s[80])/90 + 
       (2958*s[82])/5 + (48*s[83])/5 + 288*s[84] + (444*s[85])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      ((1797*s[2])/10 - (9893*s[3])/60 + (252803*s[4])/120 + 
       (805073*s[5])/660 + (1517961*s[6])/440 + (841089137*s[7])/23760 - 
       (84584789*s[8])/35640 - (48378773*s[9])/1620 - (18091753*s[10])/1620 - 
       (915198197*s[11])/23760 - (243195541*s[12])/5940 - 
       (192455177*s[13])/7920 - (126806753*s[14])/23760 - 
       (7144577*s[15])/144 - (243956243*s[16])/3960 - 
       (1189658143*s[17])/23760 - (12261317*s[18])/2430 - 
       (74275681*s[19])/9720 - (1531790123*s[20])/21384 - 
       (1067989231*s[21])/42768 + (3993692971*s[22])/213840 + 
       (122282183*s[23])/3960 + (4519088483*s[24])/106920 - 
       (1170471673*s[25])/24057 + (12614059307*s[26])/481140 + (46*s[30])/5 + 
       (523*s[31])/15 - (257*s[32])/6 - (29*s[33])/6 - (199*s[34])/15 + 
       (139*s[35])/5 - (459*s[36])/5 - (5803*s[37])/180 + (5569*s[38])/5 - 
       (70987*s[39])/20 + (253109*s[40])/60 - (43633*s[41])/12 + 
       (91777*s[42])/20 + (1025693*s[43])/220 - (1827131*s[44])/440 + 
       (22406911*s[45])/3960 - (156421879*s[46])/3960 - (134953*s[47])/198 + 
       (7207469*s[48])/1980 - (4156247*s[49])/198 + (351848*s[50])/11 + 
       (1948301*s[51])/660 + (8431427*s[52])/3960 - (52876687*s[53])/2376 - 
       (288364*s[54])/99 - (71929277*s[55])/495 - (40625683*s[56])/1188 + 
       (4824152*s[57])/4455 - (5490134669*s[58])/106920 + 
       (2965314691*s[59])/53460 + (919507009*s[60])/2640 - 
       (32201818039*s[61])/1924560 + (51*s[65])/5 + (204*s[66])/5 - 
       (306*s[67])/5 - (877*s[68])/15 - (188*s[69])/5 - s[70]/5 - 19*s[71] - 
       32*s[72] - (632*s[73])/5 + 16*s[74] - 16*s[75] - (2408*s[76])/15 - 
       19*s[77] + (173*s[78])/5 + (9698*s[79])/15 - (3217*s[80])/90 + 
       (7422*s[82])/5 + (72*s[83])/5 + 288*s[84] + (636*s[85])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      ((1417*s[2])/5 + (611*s[3])/6 + (235067*s[4])/60 + (420487*s[5])/165 + 
       (290627*s[6])/44 + (151450261*s[7])/2376 - (77305799*s[8])/17820 - 
       (21685102*s[9])/405 - (15682153*s[10])/810 - (830168423*s[11])/11880 - 
       (110463572*s[12])/1485 - (177073559*s[13])/3960 - 
       (100573511*s[14])/11880 - (32107933*s[15])/360 - 
       (109988719*s[16])/990 - (214238741*s[17])/2376 - (2242987*s[18])/243 - 
       (67407067*s[19])/4860 - (6802862683*s[20])/53460 - 
       (4797453113*s[21])/106920 + (715519793*s[22])/21384 + 
       (29386763*s[23])/495 + (2017894027*s[24])/26730 - 
       (42693756211*s[25])/481140 + (22957226587*s[26])/481140 + 
       (896*s[31])/15 - (844*s[32])/15 + (1243*s[33])/30 - (1652*s[34])/15 + 
       24*s[35] - (2471*s[36])/15 + (2134*s[37])/45 + (9463*s[38])/5 - 
       (120439*s[39])/20 + (138379*s[40])/20 - (342667*s[41])/60 + 
       (92483*s[42])/12 + (1022735*s[43])/132 - (8811017*s[44])/1320 + 
       (9791279*s[45])/990 - (130799593*s[46])/1980 - (901567*s[47])/1320 + 
       (1412623*s[48])/264 - (15288761*s[49])/440 + (8704732*s[50])/165 + 
       (18087821*s[51])/3960 + (4692353*s[52])/1320 - (55520354*s[53])/1485 - 
       (2578174*s[54])/495 - (961551377*s[55])/3960 - 
       (135668293*s[56])/2376 + (55393739*s[57])/8910 - 
       (9371407807*s[58])/106920 + (10141774669*s[59])/106920 + 
       (13698487303*s[60])/23760 - (27521984311*s[61])/962280 - (4*s[64])/5 + 
       (56*s[65])/5 + 48*s[66] - 72*s[67] - (280*s[68])/3 + 4*s[69] + 
       (44*s[70])/5 - 24*s[71] - (264*s[72])/5 - (1046*s[73])/5 + 
       (208*s[74])/5 - (224*s[75])/5 - (572*s[76])/3 - (288*s[77])/5 + 
       90*s[78] + (8596*s[79])/15 + (406*s[80])/9 + (16144*s[82])/5 + 
       (24*s[83])/5 + (1152*s[84])/5 + (1536*s[85])/5)*\[Zeta][2]^2 + 
     HPL[{0, 1, 1}, 1 - u]*(928*s[2] - (1991*s[3])/15 + (52681*s[4])/6 + 
       (1674938*s[5])/165 + (2349821*s[6])/110 + (1085080847*s[7])/5940 - 
       (105397781*s[8])/8910 - (62957636*s[9])/405 - (4251674*s[10])/81 - 
       (1189935767*s[11])/5940 - (315869311*s[12])/1485 - 
       (50556503*s[13])/396 - (39241879*s[14])/1188 - (45098807*s[15])/180 - 
       (104005889*s[16])/330 - (1528690993*s[17])/5940 - 
       (39534124*s[18])/1215 - (74836699*s[19])/2430 - 
       (9901096057*s[20])/26730 - (7510101149*s[21])/53460 + 
       (5135088049*s[22])/53460 + (178141291*s[23])/990 + 
       (5498037749*s[24])/26730 - (59691434713*s[25])/240570 + 
       (34178587783*s[26])/240570 - (528*s[30])/5 + (884*s[31])/3 - 
       (2408*s[32])/15 + (1774*s[33])/15 - (8212*s[34])/15 + 28*s[35] - 
       (11128*s[36])/15 + (27077*s[37])/45 + (30956*s[38])/5 - 
       (117308*s[39])/5 + 25596*s[40] - (299666*s[41])/15 + 
       (483713*s[42])/15 + (3832676*s[43])/165 - (3737993*s[44])/165 + 
       (25366387*s[45])/990 - (38545961*s[46])/198 + (334439*s[47])/66 + 
       (2316091*s[48])/330 - (11740957*s[49])/110 + (24739508*s[50])/165 + 
       (19755799*s[51])/990 + (2678363*s[52])/165 - (316270829*s[53])/2970 - 
       (3153212*s[54])/495 - (663891097*s[55])/990 - (494142427*s[56])/2970 + 
       (113686258*s[57])/891 - (3842681791*s[58])/13365 + 
       (1614444937*s[59])/5346 + (2400827531*s[60])/1485 - 
       (39797267377*s[61])/481140 + (16*s[62])/5 + (8*s[64])/5 - 
       (52*s[65])/5 - 48*s[66] + 72*s[67] - (284*s[68])/3 + (2068*s[69])/5 + 
       (36*s[70])/5 + (4*s[71])/5 + 64*s[72] - (3696*s[73])/5 - 
       (108*s[74])/5 + (92*s[75])/5 - (7292*s[76])/15 - (1296*s[77])/5 + 
       (3604*s[78])/5 + (2152*s[79])/3 - (6698*s[80])/45 + (23984*s[82])/5 + 
       24*s[83] + (1552*s[85])/5)*\[Zeta][2]^2 + HPL[{0, 1, 1}, 1 - w]*
      ((4389*s[2])/5 - (17347*s[3])/30 + (242431*s[4])/60 + 
       (663329*s[5])/66 + (3505009*s[6])/220 + (1681834987*s[7])/11880 - 
       (24263021*s[8])/3564 - (50002334*s[9])/405 - (17895493*s[10])/405 - 
       (1812415909*s[11])/11880 - (463907783*s[12])/2970 - 
       (366456929*s[13])/3960 - (88416329*s[14])/2376 - (14488355*s[15])/72 - 
       (27181113*s[16])/110 - (2525877419*s[17])/11880 - 
       (6478028*s[18])/243 - (22144753*s[19])/972 - (16057108541*s[20])/
        53460 - (2570785235*s[21])/21384 + (8041092791*s[22])/106920 + 
       (56988326*s[23])/495 + (861870217*s[24])/5346 - 
       (87363186269*s[25])/481140 + (53714611949*s[26])/481140 + 
       (8*s[28])/5 + (384*s[29])/5 - (486*s[30])/5 + (956*s[31])/3 - 
       (2012*s[32])/15 + (1486*s[33])/15 - (8254*s[34])/15 - 50*s[35] - 
       (3914*s[36])/5 + (33941*s[37])/45 + (22106*s[38])/5 - 
       (72811*s[39])/5 + (235883*s[40])/15 - (178496*s[41])/15 + 
       (95398*s[42])/5 + (857909*s[43])/55 - (3115359*s[44])/220 + 
       (20291011*s[45])/990 - (135883591*s[46])/990 + (4171571*s[47])/1980 + 
       (11180903*s[48])/1980 - (139635773*s[49])/1980 + (1164032*s[50])/11 + 
       (2481859*s[51])/220 + (19480297*s[52])/1980 - (113205439*s[53])/1485 - 
       (3986216*s[54])/495 - (973050863*s[55])/1980 - 
       (722891777*s[56])/5940 + (580800223*s[57])/8910 - 
       (10682212477*s[58])/53460 + (11310418723*s[59])/53460 + 
       (1529470853*s[60])/1320 - (28947952999*s[61])/481140 - (8*s[65])/5 + 
       16*s[66] - 24*s[67] - (904*s[68])/15 + (676*s[69])/5 + 16*s[70] + 
       (24*s[71])/5 - 36*s[72] - (2684*s[73])/5 + 37*s[74] - 41*s[75] - 
       (1228*s[76])/3 - (622*s[77])/5 + 452*s[78] + (3392*s[79])/15 + 
       (16318*s[80])/45 + (23984*s[82])/5 + 24*s[83] + (1552*s[85])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      ((2262*s[2])/5 + (486*s[3])/5 + (57541*s[4])/10 + (291488*s[5])/55 + 
       (272575*s[6])/22 + (53314106*s[7])/495 - (832633*s[8])/110 - 
       (1366771*s[9])/15 - (306969*s[10])/10 - (77844797*s[11])/660 - 
       (6935428*s[12])/55 - (149813929*s[13])/1980 - (11519069*s[14])/660 - 
       (6616904*s[15])/45 - (366388069*s[16])/1980 - (295353911*s[17])/1980 - 
       (2557531*s[18])/135 - (4908013*s[19])/270 - (643814323*s[20])/2970 - 
       (477952603*s[21])/5940 + (2486601*s[22])/44 + (43712095*s[23])/396 + 
       (239425049*s[24])/1980 - (789167869*s[25])/5346 + 
       (1109639731*s[26])/13365 - 6*s[30] + (616*s[31])/5 - (401*s[32])/5 + 
       (263*s[33])/10 - (1046*s[34])/5 + (24*s[35])/5 - (5506*s[36])/15 + 
       (1151*s[37])/5 + (17704*s[38])/5 - (136113*s[39])/10 + 
       (457463*s[40])/30 - (120809*s[41])/10 + (564613*s[42])/30 + 
       (423539*s[43])/30 - (818389*s[44])/60 + (162683*s[45])/10 - 
       (1810132*s[46])/15 + (413939*s[47])/180 + (198709*s[48])/36 - 
       (11508749*s[49])/180 + (281075*s[50])/3 + (426257*s[51])/36 + 
       (1711663*s[52])/180 - (5969683*s[53])/90 - (9608*s[54])/3 - 
       (8428147*s[55])/20 - (3792235*s[56])/36 + (3598655*s[57])/54 - 
       (56799107*s[58])/324 + (297681529*s[59])/1620 + 
       (1091666009*s[60])/1080 - (761520847*s[61])/14580 - 88*s[68] + 
       168*s[69] + 8*s[70] - (62*s[71])/5 + (56*s[72])/5 - 348*s[73] - 
       (2*s[74])/5 - (6*s[75])/5 - (1104*s[76])/5 - (644*s[77])/5 + 
       (1396*s[78])/5 + (4296*s[79])/5 - 210*s[80] + (12412*s[82])/5 + 
       (24*s[83])/5 + (1152*s[84])/5 + (1832*s[85])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*((2263*s[2])/10 - (321*s[3])/20 + 
       (143709*s[4])/40 + (849731*s[5])/220 + (719569*s[6])/88 + 
       (38164151*s[7])/528 - (62276779*s[8])/11880 - (8315347*s[9])/135 - 
       (1082891*s[10])/54 - (625629691*s[11])/7920 - (8390422*s[12])/99 - 
       (401364961*s[13])/7920 - (95668663*s[14])/7920 - 
       (70287287*s[15])/720 - (243482113*s[16])/1980 - 
       (777826141*s[17])/7920 - (1103689*s[18])/81 - (6923959*s[19])/648 - 
       (5208465731*s[20])/35640 - (3925702069*s[21])/71280 + 
       (2713600877*s[22])/71280 + (152657243*s[23])/1980 + 
       (706010689*s[24])/8910 - (6315073249*s[25])/64152 + 
       (3600090445*s[26])/64152 + (64*s[29])/5 - 11*s[30] + (398*s[31])/5 - 
       (167*s[32])/5 - (21*s[33])/2 - (621*s[34])/5 - 13*s[35] - 
       (3872*s[36])/15 + (9359*s[37])/30 + (12466*s[38])/5 - 
       (185431*s[39])/20 + (620429*s[40])/60 - (158947*s[41])/20 + 
       (769939*s[42])/60 + (1214591*s[43])/132 - (1472611*s[44])/165 + 
       (7517623*s[45])/660 - (26935153*s[46])/330 + (2120557*s[47])/990 + 
       (5561213*s[48])/1980 - (40575301*s[49])/990 + (10309969*s[50])/165 + 
       (16423663*s[51])/1980 + (2761985*s[52])/396 - (87485473*s[53])/1980 - 
       (195607*s[54])/330 - (186661009*s[55])/660 - (4048934*s[56])/55 + 
       (109653443*s[57])/1980 - (730184513*s[58])/5940 + 
       (751471571*s[59])/5940 + (8041950311*s[60])/11880 - 
       (53737397*s[61])/1485 - (2*s[64])/5 + (2*s[65])/5 + (32*s[66])/5 - 
       (48*s[67])/5 - (168*s[68])/5 + 38*s[69] + (26*s[70])/5 - 
       (21*s[71])/5 - (2*s[72])/5 - (646*s[73])/5 - (13*s[74])/10 - 
       (7*s[75])/10 - (762*s[76])/5 - 45*s[77] + (768*s[78])/5 + 
       (3052*s[79])/5 - (1291*s[80])/15 + (12412*s[82])/5 + (24*s[83])/5 + 
       (1152*s[84])/5 + (1832*s[85])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*((138*s[2])/5 + (3377*s[3])/15 + 
       (14018*s[4])/15 + (170189*s[5])/330 + (430753*s[6])/110 + 
       (21233741*s[7])/1188 - (1396685*s[8])/1782 - (5973856*s[9])/405 - 
       (3955729*s[10])/810 - (116891239*s[11])/5940 - (63818329*s[12])/2970 - 
       (8954387*s[13])/660 - (7913831*s[14])/1188 - (1285339*s[15])/60 - 
       (14495788*s[16])/495 - (137743373*s[17])/5940 - (5329547*s[18])/1215 - 
       (2674679*s[19])/2430 - (987340367*s[20])/26730 - 
       (151174763*s[21])/10692 + (480717293*s[22])/53460 + 
       (934078*s[23])/55 + (50879299*s[24])/2673 - (2869362547*s[25])/
        120285 + (1766128219*s[26])/120285 + (186*s[30])/5 + (44*s[31])/15 + 
       (236*s[32])/15 - (1343*s[33])/30 + (1738*s[34])/15 + (748*s[35])/5 + 
       (5047*s[36])/15 - (4031*s[37])/45 + 85*s[38] + (22567*s[39])/20 - 
       (9003*s[40])/20 + (31451*s[41])/60 - (135023*s[42])/60 + 
       (180737*s[43])/132 + (389761*s[44])/1320 + (2522119*s[45])/495 - 
       (37256509*s[46])/1980 - (2650181*s[47])/1320 + (6177649*s[48])/1320 + 
       (24823*s[49])/1320 + (1884334*s[50])/165 - (4243993*s[51])/3960 + 
       (111581*s[52])/440 - (26826781*s[53])/2970 + (2928422*s[54])/495 - 
       (288509267*s[55])/3960 - (353995451*s[56])/11880 - 
       (118303561*s[57])/8910 - (2694429937*s[58])/106920 + 
       (2305839079*s[59])/106920 + (3740973601*s[60])/23760 - 
       (13764709771*s[61])/962280 - (4*s[64])/5 + (96*s[65])/5 + 80*s[66] - 
       120*s[67] - (536*s[68])/15 - (1028*s[69])/5 + (4*s[70])/5 - 52*s[71] - 
       (384*s[72])/5 + (134*s[73])/5 + (436*s[74])/5 - (452*s[75])/5 - 
       (1612*s[76])/15 + (236*s[77])/5 - (414*s[78])/5 + (10108*s[79])/15 - 
       (14224*s[80])/45 + (5196*s[82])/5 + (12*s[83])/5 + (1008*s[84])/5 + 
       616*s[85])*\[Zeta][2]^2 + HPL[{0, 1, 1}, 1 - v]*
      (849*s[2] + (8387*s[3])/30 + (560527*s[4])/60 + (1759046*s[5])/165 + 
       (4833923*s[6])/220 + (2282823589*s[7])/11880 - 
       (220639339*s[8])/17820 - (66266261*s[9])/405 - (44793749*s[10])/810 - 
       (500806583*s[11])/2376 - (132975877*s[12])/594 - 
       (532782391*s[13])/3960 - (397539223*s[14])/11880 - 
       (19038853*s[15])/72 - (164219332*s[16])/495 - (3209449229*s[17])/
        11880 - (41400247*s[18])/1215 - (159382067*s[19])/4860 - 
       (20846521127*s[20])/53460 - (15796635817*s[21])/106920 + 
       (2163414745*s[22])/21384 + (18871199*s[23])/99 + 
       (5799291131*s[24])/26730 - (125862604097*s[25])/481140 + 
       (14383883449*s[26])/96228 - 48*s[30] + (908*s[31])/3 - 
       (1478*s[32])/15 + (1027*s[33])/6 - (1808*s[34])/3 - 34*s[35] - 
       (2872*s[36])/3 + (38396*s[37])/45 + (33206*s[38])/5 - 
       (226371*s[39])/10 + (745601*s[40])/30 - (569983*s[41])/30 + 
       (894977*s[42])/30 + (8233079*s[43])/330 - (1496707*s[44])/66 + 
       (15531344*s[45])/495 - (212492263*s[46])/990 + (2638259*s[47])/990 + 
       (5378839*s[48])/495 - (110403317*s[49])/990 + (27238516*s[50])/165 + 
       (8805307*s[51])/495 + (7587476*s[52])/495 - (175954516*s[53])/1485 - 
       (4842668*s[54])/495 - (376983752*s[55])/495 - (563672233*s[56])/2970 + 
       (864095557*s[57])/8910 - (8268810299*s[58])/26730 + 
       (4362461284*s[59])/13365 + (10754802337*s[60])/5940 - 
       (45393375397*s[61])/481140 - (4*s[64])/5 - (12*s[65])/5 + 16*s[66] - 
       24*s[67] - (2488*s[68])/15 + 256*s[69] + 32*s[70] - (16*s[71])/5 - 
       60*s[72] - (3164*s[73])/5 + (367*s[74])/5 - 79*s[75] - 
       (8324*s[76])/15 - 226*s[77] + 636*s[78] + (8096*s[79])/15 + 
       (1424*s[80])/9 + (34936*s[82])/5 + 24*s[83] + 640*s[85])*
      \[Zeta][2]^2 + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-523*s[2])/5 + (1091*s[3])/30 + (75439*s[4])/60 + (74993*s[5])/66 + 
       (900369*s[6])/220 + (265735381*s[7])/11880 - (34910509*s[8])/17820 - 
       (15508909*s[9])/810 - (1380046*s[10])/405 - (296106091*s[11])/11880 - 
       (43408174*s[12])/1485 - (70298339*s[13])/3960 - 
       (61827643*s[14])/11880 - (8650261*s[15])/360 - (11133367*s[16])/330 - 
       (52026565*s[17])/2376 - (18473423*s[18])/2430 + 
       (11286349*s[19])/4860 - (476697103*s[20])/10692 - 
       (1936408273*s[21])/106920 + (1243456337*s[22])/106920 + 
       (39213661*s[23])/990 + (233783419*s[24])/13365 - 
       (3708813038*s[25])/120285 + (2293902059*s[26])/120285 + 
       (216*s[30])/5 + (388*s[31])/15 + (808*s[32])/15 - (71*s[33])/6 + 
       (908*s[34])/15 + (402*s[35])/5 + (3436*s[36])/15 + (1939*s[37])/9 + 
       (4332*s[38])/5 - (22967*s[39])/10 + (18241*s[40])/6 - 
       (57073*s[41])/30 + (91319*s[42])/30 + (808163*s[43])/330 - 
       (297364*s[44])/165 + (1273451*s[45])/198 - (16385186*s[46])/495 + 
       (553588*s[47])/495 + (1312139*s[48])/990 - (2796448*s[49])/495 + 
       (3446062*s[50])/165 + (2878133*s[51])/990 + (3609073*s[52])/990 - 
       (9115885*s[53])/594 + (4548607*s[54])/495 - (109590373*s[55])/990 - 
       (66493733*s[56])/1485 + (70608059*s[57])/1782 - 
       (1596983741*s[58])/26730 + (1420477019*s[59])/26730 + 
       (1467622873*s[60])/5940 - (5029590917*s[61])/240570 - (8*s[62])/5 + 
       (88*s[65])/5 + (336*s[66])/5 - (528*s[67])/5 - (196*s[68])/15 - 
       (1268*s[69])/5 - (112*s[70])/5 - (178*s[71])/5 - (236*s[72])/5 + 
       (516*s[73])/5 + (179*s[74])/5 - (171*s[75])/5 - (2708*s[76])/15 + 
       (394*s[77])/5 - 20*s[78] + (12968*s[79])/15 - (15074*s[80])/45 - 
       (8*s[82])/5 - (12*s[83])/5 + (1296*s[84])/5 + (3304*s[85])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((2536*s[2])/5 + (248*s[3])/5 + (32589*s[4])/10 + (449873*s[5])/110 + 
       (640903*s[6])/55 + (5089025*s[7])/66 - (6337597*s[8])/1485 - 
       (8796458*s[9])/135 - (6092537*s[10])/270 - (41673746*s[11])/495 - 
       (17582995*s[12])/198 - (53539633*s[13])/990 - (10018322*s[14])/495 - 
       (9251819*s[15])/90 - (130473619*s[16])/990 - (54283703*s[17])/495 - 
       (6240796*s[18])/405 - (4259012*s[19])/405 - (703757063*s[20])/4455 - 
       (548667379*s[21])/8910 + (35638373*s[22])/891 + (70630751*s[23])/990 + 
       (762402263*s[24])/8910 - (8189650177*s[25])/80190 + 
       (4904901493*s[26])/80190 + (4*s[28])/5 + (128*s[29])/5 - 
       (74*s[30])/5 + (628*s[31])/5 - (424*s[32])/5 - (1063*s[33])/10 - 
       50*s[34] + (1016*s[35])/5 + (1028*s[36])/15 + (734*s[37])/5 + 
       (10506*s[38])/5 - (30488*s[39])/5 + (118684*s[40])/15 - 
       (29967*s[41])/5 + (107531*s[42])/15 + (1743704*s[43])/165 - 
       (1255796*s[44])/165 + (905968*s[45])/55 - (15765314*s[46])/165 - 
       (2228401*s[47])/990 + (2079559*s[48])/198 - (7863157*s[49])/198 + 
       (11626682*s[50])/165 + (4121473*s[51])/990 + (2392322*s[52])/495 - 
       (25677361*s[53])/495 + (503269*s[54])/165 - (114781141*s[55])/330 - 
       (98145131*s[56])/990 + (13063882*s[57])/1485 - 
       (1173354931*s[58])/8910 + (1203075901*s[59])/8910 + 
       (4801377257*s[60])/5940 - (1953143582*s[61])/40095 - (4*s[64])/5 + 
       24*s[65] + (528*s[66])/5 - (768*s[67])/5 - (796*s[68])/5 - 
       (256*s[69])/5 + 12*s[70] - (312*s[71])/5 - (784*s[72])/5 - 
       (2112*s[73])/5 + (792*s[74])/5 - (808*s[75])/5 - (1768*s[76])/5 - 
       112*s[77] + (916*s[78])/5 + (5536*s[79])/5 - (2732*s[80])/5 + 
       (21732*s[82])/5 + 12*s[83] + (1008*s[84])/5 + (4568*s[85])/5)*
      \[Zeta][2]^2 + HPL[{0, 0, 1}, 1 - v]*((1543*s[2])/2 - (12797*s[3])/20 + 
       (234871*s[4])/40 + (1386669*s[5])/220 + (1014971*s[6])/88 + 
       (106164777*s[7])/880 - (89231473*s[8])/11880 - (55654567*s[9])/540 - 
       (20094743*s[10])/540 - (1046764657*s[11])/7920 - 
       (275383649*s[12])/1980 - (131730419*s[13])/1584 - 
       (143603653*s[14])/7920 - (122594927*s[15])/720 - 
       (835356239*s[16])/3960 - (1379067691*s[17])/7920 - 
       (14294161*s[18])/810 - (84367493*s[19])/3240 - 
       (8688745031*s[20])/35640 - (6406141399*s[21])/71280 + 
       (913004731*s[22])/14256 + (417148183*s[23])/3960 + 
       (5081176957*s[24])/35640 - (5285935937*s[25])/32076 + 
       (7330010243*s[26])/80190 + (32*s[29])/5 - 48*s[30] + 225*s[31] - 
       (315*s[32])/2 + (773*s[33])/10 - (2443*s[34])/5 - 83*s[35] - 
       751*s[36] + (9017*s[37])/20 + (21229*s[38])/5 - (284013*s[39])/20 + 
       (307433*s[40])/20 - (247561*s[41])/20 + (368263*s[42])/20 + 
       (3545163*s[43])/220 - (6510543*s[44])/440 + (8062179*s[45])/440 - 
       (58085079*s[46])/440 + (9413*s[47])/33 + (5323423*s[48])/660 - 
       (12590434*s[49])/165 + (1163662*s[50])/11 + (6879721*s[51])/660 + 
       (10384777*s[52])/1320 - (99078167*s[53])/1320 - (809719*s[54])/55 - 
       (78799466*s[55])/165 - (70277029*s[56])/660 + (31177727*s[57])/990 - 
       (2120321677*s[58])/11880 + (1163679239*s[59])/5940 + 
       (1815868735*s[60])/1584 - (11375773847*s[61])/213840 - (4*s[62])/5 + 
       16*s[63] - (8*s[64])/5 + 3*s[65] + 8*s[66] - 18*s[67] - 
       (563*s[68])/5 + (1316*s[69])/5 + (51*s[70])/5 + (39*s[71])/5 - 
       (228*s[72])/5 - (3196*s[73])/5 + (177*s[74])/5 - (189*s[75])/5 - 
       468*s[76] - (733*s[77])/5 + (2601*s[78])/5 + (2302*s[79])/5 + 
       (3027*s[80])/10 + (27262*s[82])/5 + (84*s[83])/5 + (216*s[84])/5 - 
       (772*s[85])/5 + (48*s[86])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - v]*(24*s[2] - (612*s[3])/5 + 1410*s[4] + (90672*s[5])/55 + 
       (16470*s[6])/11 + (286329*s[7])/11 - (1133386*s[8])/495 - 
       (1014416*s[9])/45 - (319816*s[10])/45 - (4700159*s[11])/165 - 
       (5044384*s[12])/165 - (2948309*s[13])/165 - (196727*s[14])/165 - 
       (554653*s[15])/15 - (7412474*s[16])/165 - (5830457*s[17])/165 - 
       (548776*s[18])/135 - (683642*s[19])/135 - (15381214*s[20])/297 - 
       (28388117*s[21])/1485 + (20864137*s[22])/1485 + (4984882*s[23])/165 + 
       (43089562*s[24])/1485 - (485953142*s[25])/13365 + 
       (262865066*s[26])/13365 - (96*s[30])/5 + (96*s[31])/5 - (48*s[32])/5 + 
       48*s[33] - (672*s[34])/5 - (768*s[35])/5 - (1648*s[36])/5 + 
       (1028*s[37])/5 + (6048*s[38])/5 - 5760*s[39] + (28384*s[40])/5 - 
       4512*s[41] + (43664*s[42])/5 + (175664*s[43])/55 - (253778*s[44])/55 + 
       (49718*s[45])/55 - (1278922*s[46])/55 + (542668*s[47])/165 - 
       (520724*s[48])/165 - (3164308*s[49])/165 + (1087976*s[50])/55 + 
       (925868*s[51])/165 + (620402*s[52])/165 - (2132234*s[53])/165 - 
       (193696*s[54])/55 - (3833928*s[55])/55 - (120016*s[56])/11 + 
       (2579652*s[57])/55 - (19979738*s[58])/495 + (21599084*s[59])/495 + 
       (92106161*s[60])/495 - (24388927*s[61])/4455 - (96*s[65])/5 - 
       (384*s[66])/5 + (576*s[67])/5 + (288*s[68])/5 + (864*s[69])/5 + 
       (48*s[70])/5 + (192*s[71])/5 + 96*s[72] - (192*s[73])/5 - 
       (456*s[74])/5 + (456*s[75])/5 + (432*s[76])/5 - (96*s[77])/5 + 
       (528*s[78])/5 - (864*s[79])/5 + (904*s[80])/5 - 480*s[82] - 384*s[85])*
      \[Zeta][2]^3 + HPL[{1}, 1 - w]*((-256*s[1])/35 + (836*s[2])/35 - 
       (21068*s[3])/105 + (20778*s[4])/35 + (26494*s[5])/33 - 
       (281054*s[6])/1155 + (5593807*s[7])/495 - (3899914*s[8])/3465 - 
       (452114*s[9])/45 - (1166404*s[10])/315 - (13645844*s[11])/1155 - 
       (13578791*s[12])/1155 - (21886259*s[13])/3465 + (41423*s[14])/165 - 
       (5901173*s[15])/315 - (2077420*s[16])/99 - (63212638*s[17])/3465 - 
       (71090*s[18])/63 - (110014*s[19])/35 - (80224292*s[20])/3465 - 
       (12395239*s[21])/1485 + (9364627*s[22])/1485 + (41586577*s[23])/3465 + 
       (136805233*s[24])/10395 - (1409732836*s[25])/93555 + 
       (147313688*s[26])/18711 + (16*s[28])/5 - (96*s[30])/5 + 
       (168*s[31])/5 - (1096*s[32])/35 + (2636*s[33])/35 - (744*s[34])/5 - 
       (768*s[35])/5 - (10704*s[36])/35 + (1588*s[37])/21 + 
       (40024*s[38])/105 - (50348*s[39])/15 + (22524*s[40])/7 - 
       (97416*s[41])/35 + (587824*s[42])/105 + (452212*s[43])/385 - 
       (1038676*s[44])/385 - (73834*s[45])/55 - (7693118*s[46])/1155 + 
       (7915892*s[47])/3465 - (11301592*s[48])/3465 - (36273332*s[49])/3465 + 
       (3133024*s[50])/385 + (1711748*s[51])/495 + (5865088*s[52])/3465 - 
       (17329714*s[53])/3465 - (1732468*s[54])/385 - (9113744*s[55])/495 + 
       (4537816*s[56])/1155 + (85528504*s[57])/3465 - (41142758*s[58])/3465 + 
       (54734104*s[59])/3465 + (552410833*s[60])/10395 + 
       (161261531*s[61])/93555 - (592*s[63])/35 - (96*s[65])/5 - 
       (384*s[66])/5 + (576*s[67])/5 + (1504*s[68])/35 + (8224*s[69])/35 - 
       (944*s[70])/105 + (192*s[71])/5 + 96*s[72] - (3984*s[73])/35 - 
       (456*s[74])/5 + (456*s[75])/5 + (2704*s[76])/35 - (4352*s[77])/105 + 
       (528*s[78])/5 - (1056*s[79])/5 + 216*s[80] - 480*s[82] - 384*s[85])*
      \[Zeta][2]^3 + HPL[{1}, 1 - u]*(24*s[2] - (4472*s[3])/15 + 
       (16486*s[4])/105 + (100724*s[5])/105 - (51334*s[6])/105 + 
       (392977*s[7])/45 - (2255422*s[8])/2835 - (23296612*s[9])/2835 - 
       (8517164*s[10])/2835 - (1208699*s[11])/135 - (8061244*s[12])/945 - 
       (572549*s[13])/135 - (40093*s[14])/189 - (14147633*s[15])/945 - 
       (15342014*s[16])/945 - (2788267*s[17])/189 - (8710304*s[18])/8505 - 
       (560978*s[19])/243 - (158924126*s[20])/8505 - (62716343*s[21])/8505 + 
       (6098197*s[22])/1215 + (7418518*s[23])/945 + (84251806*s[24])/8505 - 
       (165495598*s[25])/15309 + (470856014*s[26])/76545 - (1656*s[30])/35 + 
       (96*s[31])/5 - (592*s[32])/35 + 48*s[33] - (672*s[34])/5 - 
       (1016*s[35])/7 - (29444*s[36])/105 + (35188*s[37])/315 + 
       (48928*s[38])/105 - (21225*s[39])/7 + (39197*s[40])/15 - 
       (232243*s[41])/105 + (514667*s[42])/105 + (280283*s[43])/385 - 
       (1593749*s[44])/770 - (5038112*s[45])/3465 - (14001181*s[46])/3465 + 
       (16644283*s[47])/6930 - (24925091*s[48])/6930 - 
       (57631969*s[49])/6930 + (6314656*s[50])/1155 + (20945557*s[51])/6930 + 
       (1539083*s[52])/990 - (33307301*s[53])/10395 - (14837644*s[54])/3465 - 
       (54277309*s[55])/6930 + (119188351*s[56])/20790 + 
       (757515202*s[57])/31185 - (1648952623*s[58])/187110 + 
       (313126411*s[59])/26730 + (236952907*s[60])/8316 + 
       (4389747581*s[61])/1683990 + (16*s[62])/5 - (64*s[64])/35 - 
       (96*s[65])/5 - (3008*s[66])/35 + (576*s[67])/5 + (2264*s[68])/35 + 
       (6784*s[69])/35 + (32*s[70])/105 + (192*s[71])/5 + 96*s[72] - 
       (192*s[73])/5 - (456*s[74])/5 + (456*s[75])/5 + (2272*s[76])/35 - 
       (1168*s[77])/105 + (920*s[78])/7 - (7792*s[79])/21 + 
       (84992*s[80])/315 - (2*s[81])/35 - 480*s[82] - 384*s[85])*
      \[Zeta][2]^3 + Omega2[u, v, w]*(-6*s[2] - 56*s[3] - (171*s[4])/4 - 
       (2193*s[5])/11 - (13631*s[6])/44 - (1113029*s[7])/396 + 
       (83497*s[8])/1188 + (262397*s[9])/108 + (31873*s[10])/27 + 
       (569785*s[11])/198 + (1069261*s[12])/396 + (190493*s[13])/132 + 
       (258109*s[14])/198 + 4477*s[15] + (696967*s[16])/132 + 
       (2021479*s[17])/396 + (192637*s[18])/324 + (45293*s[19])/81 + 
       (12031285*s[20])/1782 + (2403578*s[21])/891 - (1297420*s[22])/891 - 
       (70931*s[23])/66 - (3124111*s[24])/891 + (204661975*s[25])/64152 - 
       (141277351*s[26])/64152 - 4*s[29] + 3*s[30] + 2*s[31] + s[32] + 
       (9*s[33])/4 - 5*s[34] - s[35] - (16*s[36])/3 + (73*s[37])/3 - 
       9*s[38] - (49*s[39])/4 - (293*s[40])/12 + (189*s[41])/4 + 
       (635*s[42])/12 - (10627*s[43])/132 + (5261*s[44])/66 - 
       (10418*s[45])/33 + (63579*s[46])/44 + (52249*s[47])/396 - 
       (53785*s[48])/198 + (180029*s[49])/396 - (83975*s[50])/66 + 
       (9535*s[51])/198 + (21245*s[52])/396 + (39583*s[53])/44 + 
       (5281*s[54])/22 + (142927*s[55])/22 + (615787*s[56])/396 + 
       (2365481*s[57])/1188 + (5183729*s[58])/3564 - (1469945*s[59])/891 - 
       (32372819*s[60])/2376 + (55482337*s[61])/64152 - s[65] - 2*s[66] + 
       2*s[67] + 8*s[68] - 2*s[70] + 2*s[71] + 2*s[72] - (3*s[74])/2 + 
       (3*s[75])/2 - 2*s[76] + 5*s[77] + 4*s[78] - (28*s[80])/3)*\[Zeta][3] + 
     Omega2[v, w, u]*(6*s[2] + 56*s[3] + (171*s[4])/4 + (2193*s[5])/11 + 
       (13631*s[6])/44 + (1113029*s[7])/396 - (83497*s[8])/1188 - 
       (262397*s[9])/108 - (31873*s[10])/27 - (569785*s[11])/198 - 
       (1069261*s[12])/396 - (190493*s[13])/132 - (258109*s[14])/198 - 
       4477*s[15] - (696967*s[16])/132 - (2021479*s[17])/396 - 
       (192637*s[18])/324 - (45293*s[19])/81 - (12031285*s[20])/1782 - 
       (2403578*s[21])/891 + (1297420*s[22])/891 + (70931*s[23])/66 + 
       (3124111*s[24])/891 - (204661975*s[25])/64152 + 
       (141277351*s[26])/64152 + 4*s[29] - 3*s[30] - 2*s[31] - s[32] - 
       (9*s[33])/4 + 5*s[34] + s[35] + (16*s[36])/3 - (73*s[37])/3 + 
       9*s[38] + (49*s[39])/4 + (293*s[40])/12 - (189*s[41])/4 - 
       (635*s[42])/12 + (10627*s[43])/132 - (5261*s[44])/66 + 
       (10418*s[45])/33 - (63579*s[46])/44 - (52249*s[47])/396 + 
       (53785*s[48])/198 - (180029*s[49])/396 + (83975*s[50])/66 - 
       (9535*s[51])/198 - (21245*s[52])/396 - (39583*s[53])/44 - 
       (5281*s[54])/22 - (142927*s[55])/22 - (615787*s[56])/396 - 
       (2365481*s[57])/1188 - (5183729*s[58])/3564 + (1469945*s[59])/891 + 
       (32372819*s[60])/2376 - (55482337*s[61])/64152 + s[65] + 2*s[66] - 
       2*s[67] - 8*s[68] + 2*s[70] - 2*s[71] - 2*s[72] + (3*s[74])/2 - 
       (3*s[75])/2 + 2*s[76] - 5*s[77] - 4*s[78] + (28*s[80])/3)*\[Zeta][3] + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*(-3*s[2] - (13*s[3])/2 + 
       (355*s[4])/48 - (1406*s[5])/33 - (1259*s[6])/66 - (96259*s[7])/176 - 
       (3889*s[8])/2376 + (104593*s[9])/216 + (8050*s[10])/27 + 
       (1687957*s[11])/3168 + (1402745*s[12])/3168 + (312377*s[13])/1584 + 
       (235129*s[14])/792 + (73337*s[15])/72 + (885163*s[16])/792 + 
       (3800983*s[17])/3168 + (42881*s[18])/648 + (258923*s[19])/1296 + 
       (5121911*s[20])/3564 + (991393*s[21])/1782 - (4088065*s[22])/14256 + 
       (448945*s[23])/3168 - (23373407*s[24])/28512 + 
       (35431801*s[25])/64152 - (12857201*s[26])/32076 - s[29] + 
       (3*s[30])/4 + s[31]/2 + (13*s[32])/4 + (9*s[33])/16 - (5*s[34])/4 - 
       s[35]/4 + (2*s[36])/3 + (73*s[37])/12 + (37*s[38])/4 - 
       (3043*s[39])/48 + (2747*s[40])/48 - (657*s[41])/16 + (1707*s[42])/16 + 
       (2031*s[43])/176 - (6451*s[44])/528 - (1730*s[45])/33 + 
       (10779*s[46])/176 + (56875*s[47])/792 - (158137*s[48])/1584 + 
       (1039*s[49])/99 - (41075*s[50])/264 + (131765*s[51])/1584 + 
       (68279*s[52])/792 + (184405*s[53])/1584 + (54563*s[54])/264 + 
       (1585535*s[55])/1584 + (24935*s[56])/792 + (7733129*s[57])/4752 - 
       (2622053*s[58])/7128 + (2661709*s[59])/14256 - (7884869*s[60])/4752 + 
       (15932431*s[61])/256608 - s[65]/4 - s[66]/2 + s[67]/2 + 2*s[68] - 
       s[70]/2 + s[71]/2 + s[72]/2 - (3*s[74])/8 + (3*s[75])/8 - 
       (7*s[76])/2 + (5*s[77])/4 + s[78] - (4*s[80])/3 - 23*s[82])*
      \[Zeta][3] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      ((3*s[2])/2 + (111*s[3])/4 + (589*s[4])/16 + (4583*s[5])/66 + 
       (10235*s[6])/66 + (552271*s[7])/528 - (18083*s[8])/396 - 
       (64025*s[9])/72 - (24433*s[10])/72 - (1171759*s[11])/1056 - 
       (1195525*s[12])/1056 - (14573*s[13])/22 - (205369*s[14])/528 - 
       (35107*s[15])/24 - (323847*s[16])/176 - (563679*s[17])/352 - 
       (29735*s[18])/108 - (41347*s[19])/432 - (5514995*s[20])/2376 - 
       (4538857*s[21])/4752 + (318523*s[22])/594 + (334863*s[23])/352 + 
       (10700137*s[24])/9504 - (27626261*s[25])/21384 + 
       (9200959*s[26])/10692 + s[29] + s[30]/4 - s[31]/2 - s[32]/4 - 
       (9*s[33])/16 + (5*s[34])/4 - (3*s[35])/4 + (7*s[36])/6 - 
       (97*s[37])/6 + (187*s[38])/12 - (1085*s[39])/16 + (3991*s[40])/48 - 
       (1169*s[41])/16 + (4573*s[42])/48 + (10811*s[43])/176 - 
       (35813*s[44])/528 + (30887*s[45])/264 - (393037*s[46])/528 + 
       (11107*s[47])/792 + (67919*s[48])/1584 - (207385*s[49])/792 + 
       (46825*s[50])/88 + (95819*s[51])/1584 + (26923*s[52])/396 - 
       (194225*s[53])/528 + (24229*s[54])/264 - (3960503*s[55])/1584 - 
       (339301*s[56])/396 + (3726067*s[57])/4752 - (4478819*s[58])/3564 + 
       (16868261*s[59])/14256 + (27396241*s[60])/4752 - 
       (109493539*s[61])/256608 + s[65]/4 + s[66]/2 - s[67]/2 - 2*s[68] + 
       s[70]/2 - s[71]/2 - s[72]/2 + (3*s[74])/8 - (3*s[75])/8 - 
       (5*s[76])/2 - (5*s[77])/4 - s[78] + (5*s[80])/2 - 23*s[82])*
      \[Zeta][3] + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((-53*s[2])/2 + (95*s[3])/4 - (2563*s[4])/8 - (4132*s[5])/11 - 
       (52389*s[6])/88 - (3177149*s[7])/528 + (540341*s[8])/792 + 
       (184529*s[9])/36 + (36403*s[10])/36 + (3644087*s[11])/528 + 
       (534995*s[12])/66 + (853383*s[13])/176 - (19597*s[14])/528 + 
       (112341*s[15])/16 + (418731*s[16])/44 + (3212725*s[17])/528 + 
       (143695*s[18])/108 + (99751*s[19])/216 + (26657071*s[20])/2376 + 
       (19944509*s[21])/4752 - (15073537*s[22])/4752 - (210077*s[23])/22 - 
       (6895609*s[24])/1188 + (48202615*s[25])/5346 - (12966863*s[26])/2673 + 
       20*s[29] - 9*s[30] - 10*s[31] + 6*s[32] - (11*s[33])/2 + 19*s[34] + 
       7*s[35] + (131*s[36])/3 - (163*s[37])/3 - 410*s[38] + 1491*s[39] - 
       (4490*s[40])/3 + 1040*s[41] - (12389*s[42])/6 - (37435*s[43])/33 + 
       (301067*s[44])/264 - (75179*s[45])/66 + (598993*s[46])/66 - 
       (608239*s[47])/792 + (317345*s[48])/792 + (4109197*s[49])/792 - 
       (425741*s[50])/66 - (1057307*s[51])/792 - (973403*s[52])/792 + 
       (1827493*s[53])/396 - (14177*s[54])/66 + (2477339*s[55])/88 + 
       (1963981*s[56])/264 - (5377963*s[57])/396 + (4124143*s[58])/264 - 
       (12499117*s[59])/792 - (331244383*s[60])/4752 + 
       (20374877*s[61])/5346 + 8*s[63] + 5*s[65] + 10*s[66] - 10*s[67] - 
       24*s[68] - 24*s[69] + 10*s[70] - 6*s[71] - 14*s[72] + 18*s[73] + 
       (15*s[74])/2 - (15*s[75])/2 + 34*s[76] - 9*s[77] - 62*s[78] + 
       160*s[79] - (248*s[80])/3 - 6*s[82])*\[Zeta][3] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*((-9*s[2])/2 + (161*s[3])/4 - 
       (1685*s[4])/8 - (3087*s[5])/22 - (24759*s[6])/88 - 
       (2265971*s[7])/528 + (24359*s[8])/792 + (140039*s[9])/36 + 
       (63559*s[10])/36 + (2382785*s[11])/528 + (291593*s[12])/66 + 
       (473249*s[13])/176 + (713765*s[14])/528 + (108243*s[15])/16 + 
       (343483*s[16])/44 + (3680539*s[17])/528 + (41503*s[18])/108 + 
       (273481*s[19])/216 + (22952881*s[20])/2376 + (16073795*s[21])/4752 - 
       (11336119*s[22])/4752 - (8390*s[23])/11 - (7159375*s[24])/1188 + 
       (58086071*s[25])/10692 - (33230213*s[26])/10692 - 20*s[29] + 9*s[30] + 
       6*s[31] + 6*s[32] + 18*s[33] - 11*s[34] - 5*s[35] - (109*s[36])/3 - 
       7*s[37] - 84*s[38] + (189*s[39])/2 - (1477*s[40])/6 + (559*s[41])/2 - 
       (241*s[42])/3 - (25193*s[43])/66 + (86939*s[44])/264 - 
       (3357*s[45])/11 + (153023*s[46])/66 + (286769*s[47])/792 - 
       (573211*s[48])/792 + (1339957*s[49])/792 - (161849*s[50])/66 - 
       (63815*s[51])/792 + (19177*s[52])/792 + (519107*s[53])/396 + 
       (59165*s[54])/66 + (853487*s[55])/88 + (1120423*s[56])/792 + 
       (3682903*s[57])/1188 + (14271929*s[58])/7128 - (17914913*s[59])/7128 - 
       (129880339*s[60])/4752 + (4107844*s[61])/8019 - 5*s[65] - 10*s[66] + 
       10*s[67] + 26*s[68] + 18*s[69] - 6*s[70] + 6*s[71] + 14*s[72] - 
       18*s[73] - (15*s[74])/2 + (15*s[75])/2 - 12*s[76] + 21*s[77] + 
       50*s[78] - 264*s[79] + 58*s[80] - 6*s[82])*\[Zeta][3] + 
     HPL[{1}, 1 - v]^4*((69*s[5])/22 - (1235*s[6])/66 - (39055*s[7])/396 + 
       (1231*s[8])/297 + (2114*s[9])/27 + (667*s[10])/27 + 
       (23635*s[11])/198 + (30275*s[12])/198 + (14771*s[13])/198 + 
       (12655*s[14])/198 + (887*s[15])/12 + (59641*s[16])/396 + 
       (1601*s[17])/22 + (7151*s[18])/162 - (3149*s[19])/162 + 
       (226667*s[20])/891 + (96812*s[21])/891 - (45994*s[22])/891 - 
       (40487*s[23])/396 - (342841*s[24])/3564 + (2042131*s[25])/16038 - 
       (1651855*s[26])/16038 - (7*s[37])/3 - (32*s[38])/3 + (73*s[39])/6 - 
       (73*s[40])/6 + (73*s[41])/6 - (17*s[42])/2 - (653*s[43])/22 + 
       (497*s[44])/22 - (181*s[45])/22 + (3139*s[46])/33 + (2221*s[47])/198 - 
       (5605*s[48])/99 + (9049*s[49])/99 - (444*s[50])/11 - (295*s[51])/22 - 
       (1109*s[52])/99 + (3301*s[53])/198 - (1526*s[54])/33 + 
       (35899*s[55])/198 + (1398*s[56])/11 - (4120*s[57])/99 + 
       (42187*s[58])/297 - (35485*s[59])/297 - (1133567*s[60])/1188 + 
       (27140*s[61])/891 + 4*s[82])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*(6*s[2] + (3*s[3])/2 - 
       (1993*s[4])/4 - (3566*s[5])/11 - (29921*s[6])/44 - 
       (5632555*s[7])/792 + (790403*s[8])/1188 + (162193*s[9])/27 + 
       (39236*s[10])/27 + (6502301*s[11])/792 + (3786599*s[12])/396 + 
       (4667065*s[13])/792 - (98869*s[14])/792 + (612593*s[15])/72 + 
       (4470713*s[16])/396 + (1937213*s[17])/264 + (201787*s[18])/162 + 
       (359263*s[19])/324 + (46691581*s[20])/3564 + (33013985*s[21])/7128 - 
       (26730529*s[22])/7128 - (1936043*s[23])/198 - (13699621*s[24])/1782 + 
       (347695879*s[25])/32076 - (179966893*s[26])/32076 + 8*s[29] - 
       4*s[30] + 4*s[31] - 3*s[32] + (3*s[33])/2 + 4*s[36] - 48*s[37] - 
       496*s[38] + 1521*s[39] - 1611*s[40] + 1191*s[41] - 2003*s[42] - 
       (15405*s[43])/11 + (29353*s[44])/22 - (15860*s[45])/11 + 
       (120435*s[46])/11 - (31921*s[47])/66 - (17995*s[48])/66 + 
       (414367*s[49])/66 - (90144*s[50])/11 - (29893*s[51])/22 - 
       (78995*s[52])/66 + (61004*s[53])/11 - (278*s[54])/11 + 
       (2345359*s[55])/66 + (589241*s[56])/66 - (1040197*s[57])/99 + 
       (10283107*s[58])/594 - (10445089*s[59])/594 - (36061789*s[60])/396 + 
       (23945659*s[61])/5346 + 8*s[63] - 4*s[68] - 4*s[70] + 12*s[73] - 
       2*s[77] + 18*s[82])*\[Zeta][3] + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      (14*s[2] - 20*s[3] - 634*s[4] - (3293*s[5])/11 - (9059*s[6])/11 - 
       (3441421*s[7])/396 + (413279*s[8])/594 + (197057*s[9])/27 + 
       (60082*s[10])/27 + (3889559*s[11])/396 + (1095442*s[12])/99 + 
       (2722045*s[13])/396 + (132065*s[14])/396 + (401291*s[15])/36 + 
       (2855099*s[16])/198 + (1359647*s[17])/132 + (103540*s[18])/81 + 
       (139400*s[19])/81 + (29562337*s[20])/1782 + (20370167*s[21])/3564 - 
       (16396447*s[22])/3564 - (989669*s[23])/99 - (18095387*s[24])/1782 + 
       (103321841*s[25])/8019 - (53395241*s[26])/8019 + 14*s[30] + 8*s[31] - 
       2*s[32] + 5*s[33] - 14*s[34] + 2*s[35] + (29*s[36])/3 - 
       (122*s[37])/3 - 450*s[38] + (5555*s[39])/4 - (18869*s[40])/12 + 
       (4867*s[41])/4 - (22117*s[42])/12 - (191959*s[43])/132 + 
       (365165*s[44])/264 - (49058*s[45])/33 + (494111*s[46])/44 - 
       (164413*s[47])/792 - (522859*s[48])/792 + (5123623*s[49])/792 - 
       (289189*s[50])/33 - (974771*s[51])/792 - (838007*s[52])/792 + 
       (255817*s[53])/44 + (4080*s[54])/11 + (10024325*s[55])/264 + 
       (7326797*s[56])/792 - (4604993*s[57])/594 + (120291343*s[58])/7128 - 
       (124058365*s[59])/7128 - (462075073*s[60])/4752 + 
       (288994699*s[61])/64152 - 2*s[65] - 4*s[66] + 4*s[67] + 10*s[68] + 
       6*s[69] - 6*s[70] + 3*s[71] + 8*s[72] - 12*s[73] - 3*s[74] + 3*s[75] - 
       16*s[76] + 4*s[77] + 28*s[78] - 140*s[79] + (86*s[80])/3 + 18*s[82])*
      \[Zeta][3] + HPL[{1}, 1 - w]^4*(s[1]/12 - s[2]/12 + (215*s[4])/6 + 
       (1063*s[5])/132 + (6005*s[6])/264 + (32169*s[7])/88 - 
       (126167*s[8])/2376 - (64159*s[9])/216 - (4271*s[10])/54 - 
       (630761*s[11])/1584 - (717121*s[12])/1584 - (201187*s[13])/792 + 
       (48827*s[14])/792 - (37321*s[15])/72 - (484981*s[16])/792 - 
       (687365*s[17])/1584 - (36641*s[18])/648 - (44743*s[19])/648 - 
       (2351213*s[20])/3564 - (1542181*s[21])/7128 + (674563*s[22])/3564 + 
       (985429*s[23])/1584 + (5630125*s[24])/14256 - 
       (70466735*s[25])/128304 + (34637591*s[26])/128304 - s[37]/2 + 
       (37*s[38])/6 - (607*s[39])/12 + (152*s[40])/3 - (143*s[41])/3 + 
       (226*s[42])/3 + (1455*s[43])/44 - (428*s[44])/11 + (2377*s[45])/44 - 
       (4769*s[46])/11 + (2348*s[47])/99 - (14401*s[48])/396 - 
       (67655*s[49])/396 + (11131*s[50])/33 + (7333*s[51])/198 + 
       (6197*s[52])/198 - (104575*s[53])/396 + (45*s[54])/11 - 
       (323185*s[55])/198 - (24997*s[56])/66 + (3699*s[57])/11 - 
       (794137*s[58])/1188 + (214468*s[59])/297 + (7908713*s[60])/2376 - 
       (4241935*s[61])/21384 + 22*s[82])*\[Zeta][3] + 
     HPL[{1}, 1 - u]^4*((1063*s[5])/132 + (513*s[6])/88 + (23269*s[7])/264 - 
       (15287*s[8])/2376 - (17053*s[9])/216 - (1571*s[10])/54 - 
       (145793*s[11])/1584 - (147673*s[12])/1584 - (9121*s[13])/198 - 
       (36379*s[14])/792 - (9973*s[15])/72 - (16316*s[16])/99 - 
       (232955*s[17])/1584 - (10361*s[18])/648 - (8491*s[19])/648 - 
       (1621249*s[20])/7128 - (327719*s[21])/3564 + (42589*s[22])/891 + 
       (41167*s[23])/1584 + (1623991*s[24])/14256 - (12589157*s[25])/128304 + 
       (9265475*s[26])/128304 - (17*s[37])/6 - (37*s[39])/6 + (37*s[40])/6 - 
       (55*s[41])/6 + (15*s[42])/4 + (571*s[43])/66 - (1813*s[44])/264 + 
       (328*s[45])/33 - (5987*s[46])/66 - (490*s[47])/99 - (94*s[48])/99 - 
       (19277*s[49])/396 + (9511*s[50])/132 - (5299*s[51])/396 - 
       (2173*s[52])/792 - (11087*s[53])/198 + (80*s[54])/33 - 
       (38662*s[55])/99 - (9811*s[56])/132 - (28217*s[57])/396 - 
       (10321*s[58])/99 + (16817*s[59])/132 + (2055305*s[60])/2376 - 
       (802961*s[61])/21384 + 22*s[82])*\[Zeta][3] + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*((-577*s[2])/6 - (885*s[3])/4 - 
       (126197*s[4])/24 - (175847*s[5])/44 - (2661085*s[6])/264 - 
       (46834111*s[7])/528 + (50921105*s[8])/7128 + (24282215*s[9])/324 + 
       (7618933*s[10])/324 + (461718581*s[11])/4752 + 
       (125705467*s[12])/1188 + (301363763*s[13])/4752 + 
       (59102309*s[14])/4752 + (51053641*s[15])/432 + 
       (177939713*s[16])/1188 + (552737387*s[17])/4752 + 
       (16180471*s[18])/972 + (24646567*s[19])/1944 + 
       (3790114621*s[20])/21384 + (2763971675*s[21])/42768 - 
       (1991525479*s[22])/42768 - (121344775*s[23])/1188 - 
       (514537385*s[24])/5346 + (23713596901*s[25])/192456 - 
       (13144692151*s[26])/192456 + (2*s[29])/3 - 9*s[30] - (100*s[31])/3 + 
       (14*s[32])/3 - (57*s[33])/2 + 45*s[34] + 21*s[35] + (692*s[36])/3 - 
       (854*s[37])/3 - (8786*s[38])/3 + (48999*s[39])/4 - (55107*s[40])/4 + 
       (130697*s[41])/12 - (213947*s[42])/12 - (483861*s[43])/44 + 
       (3065063*s[44])/264 - (415592*s[45])/33 + (13075961*s[46])/132 - 
       (3120977*s[47])/792 - (1488335*s[48])/792 + (39281699*s[49])/792 - 
       (5025197*s[50])/66 - (9841895*s[51])/792 - (7728097*s[52])/792 + 
       (1167427*s[53])/22 - (28715*s[54])/11 + (88727797*s[55])/264 + 
       (70608013*s[56])/792 - (50168983*s[57])/594 + (1092020921*s[58])/
        7128 - (1106368361*s[59])/7128 - (3852128501*s[60])/4752 + 
       (697936607*s[61])/16038 - 4*s[63] + 3*s[65] + 12*s[66] - 
       (76*s[67])/3 - (38*s[68])/3 - 46*s[69] + (8*s[70])/3 + 4*s[71] - 
       46*s[72] + (118*s[73])/3 + (113*s[74])/2 - (113*s[75])/2 + 50*s[76] + 
       23*s[77] - (176*s[78])/3 - 1148*s[79] + 298*s[80] - 1606*s[82] - 
       10*s[83] - 492*s[84] - 440*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((-365*s[2])/6 - (505*s[3])/12 - (45593*s[4])/24 - (7769*s[5])/4 - 
       (36699*s[6])/8 - (17029241*s[7])/432 + (1811015*s[8])/648 + 
       (5425985*s[9])/162 + (1865401*s[10])/162 + (18416039*s[11])/432 + 
       (9786965*s[12])/216 + (3872245*s[13])/144 + (3461141*s[14])/432 + 
       (7769191*s[15])/144 + (1619305*s[16])/24 + (23751805*s[17])/432 + 
       (7197869*s[18])/972 + (11520917*s[19])/1944 + (157656985*s[20])/1944 + 
       (117446459*s[21])/3888 - (80440879*s[22])/3888 - (347627*s[23])/9 - 
       (21305141*s[24])/486 + (115571309*s[25])/2187 - 
       (265716533*s[26])/8748 + (20*s[29])/3 + (8*s[30])/3 - 4*s[31] + 
       (34*s[32])/3 - (13*s[33])/4 + 20*s[34] - (8*s[35])/3 + (800*s[36])/9 - 
       (565*s[37])/18 - (2984*s[38])/3 + (51701*s[39])/12 - 
       (178079*s[40])/36 + (48047*s[41])/12 - (225985*s[42])/36 - 
       (1687981*s[43])/396 + (3445451*s[44])/792 - (502280*s[45])/99 + 
       (5089009*s[46])/132 - (2282155*s[47])/2376 - (3636145*s[48])/2376 + 
       (44991847*s[49])/2376 - (2962354*s[50])/99 - (10344527*s[51])/2376 - 
       (7838957*s[52])/2376 + (4172791*s[53])/198 - (47203*s[54])/66 + 
       (11792257*s[55])/88 + (83301377*s[56])/2376 - (84054283*s[57])/3564 + 
       (1218386671*s[58])/21384 - (1247386219*s[59])/21384 - 
       (4554343957*s[60])/14256 + (1660692497*s[61])/96228 + 4*s[63] + 
       (7*s[65])/3 + (22*s[66])/3 - 12*s[67] + (62*s[68])/3 - (134*s[69])/3 + 
       8*s[70] + (20*s[71])/3 - 24*s[72] + (14*s[73])/3 + 21*s[74] - 
       21*s[75] - 6*s[76] + (100*s[77])/3 - (52*s[78])/3 - (1376*s[79])/3 + 
       (1343*s[80])/9 - 1134*s[82] - 13*s[83] - 190*s[84] - 352*s[85])*
      \[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((-295*s[2])/6 - (633*s[3])/4 - (68717*s[4])/24 - (47727*s[5])/22 - 
       (479313*s[6])/88 - (77261663*s[7])/1584 + (27439121*s[8])/7128 + 
       (13352621*s[9])/324 + (4304515*s[10])/324 + (253602263*s[11])/4752 + 
       (68827441*s[12])/1188 + (164358041*s[13])/4752 + 
       (33668099*s[14])/4752 + (28276351*s[15])/432 + (98342957*s[16])/1188 + 
       (307637105*s[17])/4752 + (8877541*s[18])/972 + (14041303*s[19])/1944 + 
       (2098000261*s[20])/21384 + (1532409053*s[21])/42768 - 
       (1095525901*s[22])/42768 - (65001049*s[23])/1188 - 
       (571232659*s[24])/10692 + (6491364815*s[25])/96228 - 
       (1807466653*s[26])/48114 + (2*s[29])/3 - (7*s[30])/3 - 14*s[31] + 
       (13*s[32])/3 - 8*s[33] + (53*s[34])/3 + (58*s[35])/3 + 135*s[36] - 
       (760*s[37])/9 - 1564*s[38] + (12941*s[39])/2 - (43919*s[40])/6 + 
       (17497*s[41])/3 - (112451*s[42])/12 - (383227*s[43])/66 + 
       (204473*s[44])/33 - (2671819*s[45])/396 + (20800123*s[46])/396 - 
       (769919*s[47])/396 - (452657*s[48])/396 + (5242231*s[49])/198 - 
       (446823*s[50])/11 - (1282625*s[51])/198 - (509722*s[52])/99 + 
       (16726231*s[53])/594 - (142123*s[54])/198 + (35388869*s[55])/198 + 
       (13953952*s[56])/297 - (159163639*s[57])/3564 + 
       (217068101*s[58])/2673 - (881788199*s[59])/10692 - 
       (1024364383*s[60])/2376 + (4443906733*s[61])/192456 + (2*s[65])/3 + 
       (20*s[66])/3 - 8*s[67] + (34*s[68])/3 - (76*s[69])/3 + 8*s[70] + 
       (16*s[71])/3 - 24*s[72] + 10*s[73] + (98*s[74])/3 - (98*s[75])/3 + 
       (62*s[76])/3 + (58*s[77])/3 - 38*s[78] - 600*s[79] + (1138*s[80])/9 - 
       894*s[82] - 6*s[83] - 288*s[84] - 272*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((-355*s[2])/6 - (395*s[3])/4 - (74183*s[4])/24 - (19245*s[5])/11 - 
       (462083*s[6])/88 - (24408251*s[7])/528 + (28024103*s[8])/7128 + 
       (12558713*s[9])/324 + (3859663*s[10])/324 + (242643323*s[11])/4752 + 
       (66881281*s[12])/1188 + (162073037*s[13])/4752 + 
       (23033267*s[14])/4752 + (26223301*s[15])/432 + 
       (184712695*s[16])/2376 + (279890729*s[17])/4752 + 
       (7943305*s[18])/972 + (13645501*s[19])/1944 + (1934392375*s[20])/
        21384 + (1374438929*s[21])/42768 - (1038627289*s[22])/42768 - 
       (130543157*s[23])/2376 - (1077842681*s[24])/21384 + 
       (12644245921*s[25])/192456 - (6800779705*s[26])/192456 + 
       (14*s[29])/3 - (25*s[30])/3 - 14*s[31] + (25*s[32])/3 - (49*s[33])/2 + 
       (53*s[34])/3 + (46*s[35])/3 + (403*s[36])/3 - (997*s[37])/9 - 
       1622*s[38] + (13681*s[39])/2 - (46243*s[40])/6 + (18403*s[41])/3 - 
       (119683*s[42])/12 - (401867*s[43])/66 + (856981*s[44])/132 - 
       (2524717*s[45])/396 + (20821201*s[46])/396 - (70573*s[47])/33 - 
       (35296*s[48])/33 + (3653845*s[49])/132 - (1336757*s[50])/33 - 
       (301549*s[51])/44 - (713167*s[52])/132 + (33177971*s[53])/1188 - 
       (187357*s[54])/198 + (17386777*s[55])/99 + (54722935*s[56])/1188 - 
       (43893703*s[57])/891 + (877225175*s[58])/10692 - 
       (889831205*s[59])/10692 - (255710489*s[60])/594 + 
       (1075580857*s[61])/48114 + (8*s[65])/3 + (32*s[66])/3 - 16*s[67] + 
       (22*s[68])/3 - (112*s[69])/3 + 14*s[70] + (7*s[71])/3 - 32*s[72] + 
       18*s[73] + (110*s[74])/3 - (110*s[75])/3 + (50*s[76])/3 + 
       (52*s[77])/3 - 40*s[78] - 704*s[79] + (1816*s[80])/9 - 894*s[82] - 
       6*s[83] - 288*s[84] - 272*s[85])*\[Zeta][3] + 
     HPL[{0, 1, 1, 1}, 1 - w]*((-307*s[2])/2 - (2809*s[3])/4 - 
       (29621*s[4])/8 - (45209*s[5])/11 - (803351*s[6])/88 - 
       (121328939*s[7])/1584 + (3986023*s[8])/792 + (584722*s[9])/9 + 
       (792971*s[10])/36 + (14767353*s[11])/176 + (5932627*s[12])/66 + 
       (85500859*s[13])/1584 + (2717225*s[14])/176 + (14938325*s[15])/144 + 
       (12968668*s[16])/99 + (166356599*s[17])/1584 + (88427*s[18])/6 + 
       (859861*s[19])/72 + (13901541*s[20])/88 + (283825493*s[21])/4752 - 
       (190206353*s[22])/4752 - (29616203*s[23])/396 - (25778807*s[24])/297 + 
       (2223939805*s[25])/21384 - (1288259593*s[26])/21384 - 38*s[29] + 
       22*s[30] - 6*s[31] - 30*s[32] + (267*s[33])/4 - 34*s[34] + s[35] + 
       (113*s[36])/3 - (484*s[37])/3 - 2586*s[38] + 8854*s[39] - 
       (29963*s[40])/3 + 7640*s[41] - (72125*s[42])/6 - (282994*s[43])/33 + 
       (2253833*s[44])/264 - (693515*s[45])/66 + (4951723*s[46])/66 - 
       (1805857*s[47])/792 - (2419129*s[48])/792 + (30212011*s[49])/792 - 
       (3737843*s[50])/66 - (6474845*s[51])/792 - (5601593*s[52])/792 + 
       (15399097*s[53])/396 - (76145*s[54])/66 + (66990403*s[55])/264 + 
       (17885339*s[56])/264 - (7828399*s[57])/132 + (276207605*s[58])/2376 - 
       (278551937*s[59])/2376 - (2961834589*s[60])/4752 + 
       (179507341*s[61])/5346 - 12*s[63] - 13*s[65] - 40*s[66] + 26*s[67] + 
       6*s[68] + 90*s[69] - 42*s[70] + 16*s[71] + 14*s[72] + 2*s[73] - 
       (13*s[74])/2 + (13*s[75])/2 + 4*s[76] - 45*s[77] + 78*s[78] - 
       456*s[79] + (238*s[80])/3 - 1368*s[82] + 21*s[83] - 174*s[84] - 
       264*s[85])*\[Zeta][3] + HPL[{0, 1, 1, 1}, 1 - u]*
      (-31*s[2] - (887*s[3])/2 - 4772*s[4] - (115351*s[5])/44 - 
       (330585*s[6])/44 - (17485673*s[7])/264 + (7003619*s[8])/1188 + 
       (1494226*s[9])/27 + (1681079*s[10])/108 + (58920461*s[11])/792 + 
       (33199403*s[12])/396 + (40700729*s[13])/792 + (3306785*s[14])/792 + 
       (6056965*s[15])/72 + (10842664*s[16])/99 + (62427647*s[17])/792 + 
       (1944565*s[18])/162 + (3145897*s[19])/324 + (452957377*s[20])/3564 + 
       (321406049*s[21])/7128 - (247759591*s[22])/7128 - 
       (17028163*s[23])/198 - (63821132*s[24])/891 + (776590195*s[25])/8019 - 
       (411622726*s[26])/8019 - 7*s[30] - 14*s[31] - 27*s[32] + (3*s[33])/4 + 
       7*s[34] + 16*s[35] + 161*s[36] - (2561*s[37])/6 - 2872*s[38] + 
       (43823*s[39])/4 - (48819*s[40])/4 + (36983*s[41])/4 - 
       (62347*s[42])/4 - (407105*s[43])/44 + (863539*s[44])/88 - 
       (1197697*s[45])/132 + (2495617*s[46])/33 - (1107965*s[47])/264 - 
       (122783*s[48])/264 + (10928591*s[49])/264 - (624220*s[50])/11 - 
       (2813375*s[51])/264 - (2390065*s[52])/264 + (3778169*s[53])/99 - 
       (97301*s[54])/33 + (63753091*s[55])/264 + (51826235*s[56])/792 - 
       (56201315*s[57])/594 + (894066583*s[58])/7128 - 
       (891404815*s[59])/7128 - (108060631*s[60])/176 + 
       (1004272295*s[61])/32076 - 30*s[68] + 30*s[69] - 16*s[70] - 12*s[71] - 
       16*s[72] - 28*s[73] + 22*s[74] - 22*s[75] + 16*s[76] - 32*s[77] - 
       16*s[78] - 964*s[79] + (1075*s[80])/3 - 1368*s[82] + 21*s[83] - 
       174*s[84] - 264*s[85])*\[Zeta][3] + HPL[{0, 1}, 1 - v]^2*
      ((-163*s[2])/2 - (295*s[3])/4 - (6665*s[4])/2 - (122269*s[5])/44 - 
       (296093*s[6])/44 - (281235695*s[7])/4752 + (8060485*s[8])/1782 + 
       (32537267*s[9])/648 + (5150597*s[10])/324 + (308649163*s[11])/4752 + 
       (167798035*s[12])/2376 + (201070319*s[13])/4752 + 
       (42232363*s[14])/4752 + (34052131*s[15])/432 + 
       (237751441*s[16])/2376 + (123331085*s[17])/1584 + 
       (21916501*s[18])/1944 + (16157039*s[19])/1944 + 
       (2546623415*s[20])/21384 + (1883838265*s[21])/42768 - 
       (1334054285*s[22])/42768 - (39638933*s[23])/594 - 
       (687381467*s[24])/10692 + (31470946393*s[25])/384912 - 
       (17666276593*s[26])/384912 + s[29]/3 - (85*s[30])/6 - (98*s[31])/3 + 
       (47*s[32])/6 - (203*s[33])/24 + (103*s[34])/2 + (331*s[35])/6 + 
       188*s[36] - (7111*s[37])/36 - (5954*s[38])/3 + (196897*s[39])/24 - 
       (219377*s[40])/24 + (172249*s[41])/24 - (285727*s[42])/24 - 
       (1870175*s[43])/264 + (252485*s[44])/33 - (5939735*s[45])/792 + 
       (12256337*s[46])/198 - (1107089*s[47])/396 - (733765*s[48])/792 + 
       (12831185*s[49])/396 - (3121057*s[50])/66 - (6488731*s[51])/792 - 
       (5194589*s[52])/792 + (9671729*s[53])/297 - (133820*s[54])/99 + 
       (54053899*s[55])/264 + (16255972*s[56])/297 - (448166237*s[57])/7128 + 
       (2099616769*s[58])/21384 - (2116744813*s[59])/21384 - 
       (2393041271*s[60])/4752 + (5101378351*s[61])/192456 + 5*s[65] + 
       20*s[66] - (91*s[67])/3 - 21*s[68] - (122*s[69])/3 - s[70]/3 - 
       (3*s[71])/2 - (145*s[72])/3 + 36*s[73] + (551*s[74])/12 - 
       (551*s[75])/12 + (104*s[76])/3 + (97*s[77])/6 - 61*s[78] - 
       (2236*s[79])/3 + (3575*s[80])/18 - 769*s[82] - (19*s[83])/2 - 
       325*s[84] - 240*s[85])*\[Zeta][3] + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*((-473*s[2])/6 - (943*s[3])/12 - (91757*s[4])/24 - 
       (33148*s[5])/11 - (1908427*s[6])/264 - (312332117*s[7])/4752 + 
       (12867911*s[8])/2376 + (5999549*s[9])/108 + (1883041*s[10])/108 + 
       (113672761*s[11])/1584 + (30955993*s[12])/396 + 
       (220272421*s[13])/4752 + (14544613*s[14])/1584 + 
       (37948319*s[15])/432 + (32919400*s[16])/297 + (409071017*s[17])/4752 + 
       (2058307*s[18])/162 + (5767043*s[19])/648 + (940314671*s[20])/7128 + 
       (229344437*s[21])/4752 - (492353779*s[22])/14256 - 
       (91378019*s[23])/1188 - (251637655*s[24])/3564 + 
       (161718925*s[25])/1782 - (45061163*s[26])/891 + (50*s[29])/3 - 
       (43*s[30])/3 - (94*s[31])/3 + (52*s[32])/3 - (127*s[33])/6 + 
       (137*s[34])/3 + (211*s[35])/3 + (595*s[36])/3 - (4195*s[37])/18 - 
       (6502*s[38])/3 + 9194*s[39] - (30670*s[40])/3 + (48221*s[41])/6 - 
       (40513*s[42])/3 - (87315*s[43])/11 + (371695*s[44])/44 - 
       (3485963*s[45])/396 + (28154945*s[46])/396 - (435907*s[47])/132 - 
       (72467*s[48])/132 + (4733539*s[49])/132 - (600253*s[50])/11 - 
       (3746291*s[51])/396 - (977255*s[52])/132 + (22641521*s[53])/594 - 
       (208909*s[54])/99 + (94747217*s[55])/396 + (75378713*s[56])/1188 - 
       (59292185*s[57])/891 + (1189465213*s[58])/10692 - 
       (1203147571*s[59])/10692 - (171405185*s[60])/297 + 
       (742188265*s[61])/24057 + 12*s[63] + 5*s[65] + 12*s[66] - 10*s[67] - 
       (52*s[68])/3 - (56*s[69])/3 - 2*s[70] - (122*s[72])/3 + 10*s[73] + 
       (105*s[74])/2 - (105*s[75])/2 + 56*s[76] + (31*s[77])/3 - 
       (172*s[78])/3 - (2516*s[79])/3 + (1829*s[80])/9 - 822*s[82] - 
       10*s[83] - 412*s[84] - 232*s[85])*\[Zeta][3] + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((-211*s[2])/3 - (398*s[3])/3 - 
       (16703*s[4])/4 - (132565*s[5])/44 - (84685*s[6])/11 - 
       (161919067*s[7])/2376 + (19746515*s[8])/3564 + (18607555*s[9])/324 + 
       (1465031*s[10])/81 + (177186767*s[11])/2376 + (96366005*s[12])/1188 + 
       (115504735*s[13])/2376 + (21852461*s[14])/2376 + 
       (19731089*s[15])/216 + (136949969*s[16])/1188 + (71123227*s[17])/792 + 
       (6154165*s[18])/486 + (9605299*s[19])/972 + (363219349*s[20])/2673 + 
       (1060843493*s[21])/21384 - (764309377*s[22])/21384 - 
       (94108099*s[23])/1188 - (395636611*s[24])/5346 + 
       (9105798481*s[25])/96228 - (1262085367*s[26])/24057 + (8*s[29])/3 - 
       s[30] - (64*s[31])/3 + s[32] - (77*s[33])/4 + (121*s[34])/3 + 
       33*s[35] + (523*s[36])/3 - (1615*s[37])/6 - (6791*s[38])/3 + 
       (28645*s[39])/3 - (31975*s[40])/3 + (25247*s[41])/3 - 
       (83971*s[42])/6 - (280682*s[43])/33 + (2347171*s[44])/264 - 
       (397759*s[45])/44 + (9749503*s[46])/132 - (2511667*s[47])/792 - 
       (774811*s[48])/792 + (30257437*s[49])/792 - (1869341*s[50])/33 - 
       (2512013*s[51])/264 - (5963051*s[52])/792 + (15703657*s[53])/396 - 
       (113701*s[54])/66 + (197439299*s[55])/792 + (5773875*s[56])/88 - 
       (8879681*s[57])/132 + (272855093*s[58])/2376 - 
       (278435303*s[59])/2376 - (2861978077*s[60])/4752 + 
       (675372913*s[61])/21384 - 4*s[63] + 3*s[65] + 10*s[66] - 8*s[67] - 
       (10*s[68])/3 - (38*s[69])/3 + 2*s[70] + 4*s[71] - 50*s[72] + 
       (52*s[73])/3 + (293*s[74])/6 - (293*s[75])/6 + (76*s[76])/3 + 
       19*s[77] - (208*s[78])/3 - 952*s[79] + 275*s[80] - 822*s[82] - 
       10*s[83] - 412*s[84] - 232*s[85])*\[Zeta][3] + 
     HPL[{0, 1}, 1 - u]^2*((-1123*s[2])/12 - (2525*s[3])/24 - 
       (161239*s[4])/48 - (31769*s[5])/11 - (3574709*s[6])/528 - 
       (63119503*s[7])/1056 + (64855999*s[8])/14256 + (32903197*s[9])/648 + 
       (10299503*s[10])/648 + (623974501*s[11])/9504 + 
       (169724531*s[12])/2376 + (408093211*s[13])/9504 + 
       (84053821*s[14])/9504 + (68631581*s[15])/864 + (59948263*s[16])/594 + 
       (744666295*s[17])/9504 + (22191707*s[18])/1944 + 
       (32509169*s[19])/3888 + (5136320993*s[20])/42768 + 
       (3803338123*s[21])/85536 - (2695644023*s[22])/85536 - 
       (40320449*s[23])/594 - (1386031565*s[24])/21384 + 
       (15928186195*s[25])/192456 - (8932057309*s[26])/192456 - 
       (14*s[29])/3 + (5*s[30])/6 - (128*s[31])/3 + 14*s[32] - (67*s[33])/3 + 
       (415*s[34])/6 + (107*s[35])/3 + (1139*s[36])/6 - (3599*s[37])/18 - 
       (12295*s[38])/6 + (199421*s[39])/24 - (74331*s[40])/8 + 
       (174511*s[41])/24 - (287737*s[42])/24 - (1882651*s[43])/264 + 
       (4099459*s[44])/528 - (1589063*s[45])/198 + (50583491*s[46])/792 - 
       (4484581*s[47])/1584 - (1374595*s[48])/1584 + (51879955*s[49])/1584 - 
       (1612768*s[50])/33 - (4368121*s[51])/528 - (10610141*s[52])/1584 + 
       (39955241*s[53])/1188 - (250669*s[54])/198 + (337444031*s[55])/1584 + 
       (270179083*s[56])/4752 - (226353115*s[57])/3564 + 
       (4337862821*s[58])/42768 - (4370372927*s[59])/42768 - 
       (549478561*s[60])/1056 + (10687086173*s[61])/384912 - 8*s[63] + 
       3*s[65] + 18*s[66] - (92*s[67])/3 - (37*s[68])/3 - 44*s[69] + 
       (7*s[70])/3 + s[71] - (118*s[72])/3 + 31*s[73] + (281*s[74])/6 - 
       (281*s[75])/6 + (64*s[76])/3 + (41*s[77])/3 - (205*s[78])/3 - 
       (2140*s[79])/3 + (1564*s[80])/9 - 837*s[82] - (19*s[83])/2 - 
       309*s[84] - 232*s[85])*\[Zeta][3] + HPL[{0, 1}, 1 - w]^2*
      ((-647*s[2])/6 - (911*s[3])/12 - (28019*s[4])/8 - (229833*s[5])/88 - 
       (301567*s[6])/44 - (92828305*s[7])/1584 + (5507311*s[8])/1188 + 
       (10692535*s[9])/216 + (3297497*s[10])/216 + (102457433*s[11])/1584 + 
       (56085899*s[12])/792 + (68063089*s[13])/1584 + (12313847*s[14])/1584 + 
       (11084857*s[15])/144 + (39070459*s[16])/396 + (39962231*s[17])/528 + 
       (7026821*s[18])/648 + (5429617*s[19])/648 + (827737039*s[20])/7128 + 
       (605875715*s[21])/14256 - (440099653*s[22])/14256 - 
       (26806391*s[23])/396 - (113286329*s[24])/1782 + 
       (10541240525*s[25])/128304 - (5819265893*s[26])/128304 + (7*s[29])/3 - 
       (7*s[30])/3 - (119*s[31])/3 + (29*s[32])/3 - (181*s[33])/6 + 
       (178*s[34])/3 + (11*s[35])/6 + (574*s[36])/3 - (5489*s[37])/36 - 
       2065*s[38] + (204817*s[39])/24 - (76283*s[40])/8 + (59807*s[41])/8 - 
       (98959*s[42])/8 - (1954175*s[43])/264 + (702587*s[44])/88 - 
       (6219865*s[45])/792 + (25508585*s[46])/396 - (255567*s[47])/88 - 
       (132743*s[48])/132 + (8928329*s[49])/264 - (1081207*s[50])/22 - 
       (3336493*s[51])/396 - (300523*s[52])/44 + (40132861*s[53])/1188 - 
       (267281*s[54])/198 + (21080779*s[55])/99 + (135080305*s[56])/2376 - 
       (469576189*s[57])/7128 + (547308833*s[58])/5346 - 
       (1103743207*s[59])/10692 - (311278423*s[60])/594 + 
       (663765457*s[61])/24057 - 2*s[63] + 6*s[65] + 22*s[66] - 
       (107*s[67])/3 - (49*s[68])/3 - 59*s[69] + (19*s[70])/3 - (3*s[71])/2 - 
       (143*s[72])/3 + (148*s[73])/3 + (545*s[74])/12 - (545*s[75])/12 + 
       (92*s[76])/3 + (83*s[77])/6 - (223*s[78])/3 - (2276*s[79])/3 + 
       (3793*s[80])/18 - 837*s[82] - (19*s[83])/2 - 309*s[84] - 232*s[85])*
      \[Zeta][3] + HPL[{0, 0, 0, 1}, 1 - v]*(49*s[2] - 97*s[3] - 
       (1517*s[4])/2 - (11067*s[5])/11 - (39977*s[6])/22 - 
       (7251809*s[7])/396 + (620075*s[8])/594 + (423248*s[9])/27 + 
       (168088*s[10])/27 + (7795907*s[11])/396 + (2024923*s[12])/99 + 
       (519525*s[13])/44 + (1909751*s[14])/396 + (316133*s[15])/12 + 
       (1067294*s[16])/33 + (10916581*s[17])/396 + (249595*s[18])/81 + 
       (625897*s[19])/162 + (70486213*s[20])/1782 + (52178633*s[21])/3564 - 
       (34249537*s[22])/3564 - (141566*s[23])/11 - (19921135*s[24])/891 + 
       (383437657*s[25])/16038 - (224677045*s[26])/16038 - 8*s[29] + 
       12*s[30] + 40*s[31] + 87*s[33] - 66*s[34] + 28*s[35] - (50*s[36])/3 - 
       (160*s[37])/3 - 414*s[38] + 1446*s[39] - (5212*s[40])/3 + 1398*s[41] - 
       (5744*s[42])/3 - (54038*s[43])/33 + (111667*s[44])/66 - 
       (63802*s[45])/33 + (154390*s[46])/11 + (2617*s[47])/198 - 
       (227591*s[48])/198 + (1503197*s[49])/198 - (372560*s[50])/33 - 
       (234271*s[51])/198 - (186919*s[52])/198 + (250571*s[53])/33 + 
       (3070*s[54])/11 + (3310067*s[55])/66 + (2395015*s[56])/198 - 
       (1104407*s[57])/297 + (34768493*s[58])/1782 - (36341585*s[59])/1782 - 
       (146890211*s[60])/1188 + (48126886*s[61])/8019 - 4*s[65] - 10*s[66] + 
       8*s[67] + 26*s[68] + 22*s[69] - 16*s[70] + 8*s[72] - 24*s[73] - 
       6*s[74] + 6*s[75] - 48*s[76] + 40*s[77] + 64*s[78] - 216*s[79] + 
       (406*s[80])/3 - 1072*s[82] - 192*s[85])*\[Zeta][3] + 
     HPL[{0, 0, 0, 1}, 1 - u]*(-45*s[2] - 346*s[3] - 942*s[4] - 
       (17154*s[5])/11 - (31858*s[6])/11 - (5023699*s[7])/198 + 
       (137308*s[8])/99 + (194261*s[9])/9 + (75382*s[10])/9 + 
       (1787645*s[11])/66 + (915103*s[12])/33 + (3164087*s[13])/198 + 
       (471287*s[14])/66 + (663943*s[15])/18 + (4443493*s[16])/99 + 
       (7705639*s[17])/198 + (136256*s[18])/27 + (119887*s[19])/27 + 
       (16381381*s[20])/297 + (4224205*s[21])/198 - (7802957*s[22])/594 - 
       (2036657*s[23])/99 - (8806693*s[24])/297 + (19316977*s[25])/594 - 
       (11868229*s[26])/594 - 14*s[29] + 12*s[30] + 8*s[31] + 12*s[33] - 
       20*s[34] - 8*s[35] - (164*s[36])/3 + (292*s[37])/3 - 644*s[38] + 
       1924*s[39] - (7042*s[40])/3 + 1960*s[41] - (6992*s[42])/3 - 
       (84020*s[43])/33 + (81203*s[44])/33 - (153128*s[45])/33 + 
       (903292*s[46])/33 + (43349*s[47])/99 - (238075*s[48])/99 + 
       (1182121*s[49])/99 - (720020*s[50])/33 - (138707*s[51])/99 - 
       (116339*s[52])/99 + (1539122*s[53])/99 + (42340*s[54])/33 + 
       (1159053*s[55])/11 + (288479*s[56])/11 + (310550*s[57])/99 + 
       (10706407*s[58])/297 - (11392795*s[59])/297 - (141154531*s[60])/594 + 
       (4069300*s[61])/297 + 32*s[63] - 8*s[65] - 20*s[66] + 16*s[67] + 
       52*s[68] + 12*s[69] - 32*s[70] + 16*s[71] + 16*s[72] - 12*s[74] + 
       12*s[75] - 16*s[76] + 80*s[77] + 32*s[78] + 8*s[79] - (232*s[80])/3 - 
       792*s[82] - 144*s[85])*\[Zeta][3] + HPL[{0, 0, 0, 1}, 1 - w]*
      (26*s[2] + 109*s[3] - 576*s[4] + (2069*s[5])/11 - (356*s[6])/11 - 
       (616579*s[7])/396 + (171548*s[8])/297 + (57221*s[9])/54 - 
       (23638*s[10])/27 + (994303*s[11])/396 + (842239*s[12])/198 + 
       (420017*s[13])/132 - (1202297*s[14])/396 - (1547*s[15])/12 + 
       (22321*s[16])/22 - (1047997*s[17])/396 - (56057*s[18])/162 + 
       (64727*s[19])/162 - (1188589*s[20])/1782 - (5131655*s[21])/3564 - 
       (3143357*s[22])/3564 - (252187*s[23])/33 - (1112702*s[24])/891 + 
       (158803693*s[25])/32076 - (28579597*s[26])/32076 + 8*s[29] - 2*s[30] + 
       4*s[31] + 8*s[32] - (11*s[33])/2 - 14*s[34] + 14*s[35] - 20*s[36] - 
       102*s[37] - 396*s[38] + (2941*s[39])/2 - (3405*s[40])/2 + 
       (2607*s[41])/2 - (4041*s[42])/2 - (2953*s[43])/2 + (3065*s[44])/2 - 
       1314*s[45] + (22291*s[46])/2 - (752*s[47])/3 - (3637*s[48])/6 + 
       (20048*s[49])/3 - 8745*s[50] - (2559*s[51])/2 - (3154*s[52])/3 + 
       (34763*s[53])/6 - 153*s[54] + (222871*s[55])/6 + 8946*s[56] - 
       (46709*s[57])/6 + (49850*s[58])/3 - (102653*s[59])/6 - 
       (867346*s[60])/9 + (1385245*s[61])/324 - 2*s[65] - 6*s[66] + 4*s[67] + 
       10*s[68] + 6*s[69] - 12*s[70] - 4*s[71] + 4*s[72] - 24*s[73] - 
       3*s[74] + 3*s[75] - 44*s[76] + 30*s[77] + 56*s[78] - 216*s[79] + 
       154*s[80] - 792*s[82] - 144*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*((-25*s[2])/4 - (431*s[3])/8 - 
       (1478*s[4])/3 - (69283*s[5])/132 - (76517*s[6])/66 - 
       (33410009*s[7])/3168 + (1617331*s[8])/2376 + (3866359*s[9])/432 + 
       (181849*s[10])/54 + (35809133*s[11])/3168 + (2333497*s[12])/198 + 
       (7272941*s[13])/1056 + (7764131*s[14])/3168 + (4301561*s[15])/288 + 
       (203154*s[16])/11 + (49357585*s[17])/3168 + (2448929*s[18])/1296 + 
       (2442595*s[19])/1296 + (317162437*s[20])/14256 + 
       (234687713*s[21])/28512 - (157297909*s[22])/28512 - 
       (2350319*s[23])/264 - (21858691*s[24])/1782 + (3560356475*s[25])/
        256608 - (2061772523*s[26])/256608 - 2*s[29] + (9*s[30])/4 + 
       (3*s[31])/2 + (11*s[32])/4 + (49*s[33])/16 - (43*s[34])/4 + 
       (5*s[35])/4 + 17*s[36] + (151*s[37])/6 - (2947*s[38])/12 + 
       (46525*s[39])/48 - (54109*s[40])/48 + (45587*s[41])/48 - 
       (21855*s[42])/16 - (543619*s[43])/528 + (34354*s[44])/33 - 
       (124215*s[45])/88 + (1751861*s[46])/176 - (177869*s[47])/1584 - 
       (219359*s[48])/396 + (7546877*s[49])/1584 - (2107225*s[50])/264 - 
       (251639*s[51])/264 - (1107649*s[52])/1584 + (2944223*s[53])/528 + 
       (82805*s[54])/264 + (28593265*s[55])/792 + (14259931*s[56])/1584 - 
       (14376865*s[57])/4752 + (198240437*s[58])/14256 - 
       (102975139*s[59])/7128 - (806263529*s[60])/9504 + 
       (1169387287*s[61])/256608 - (3*s[65])/4 - (3*s[66])/2 + (3*s[67])/2 + 
       9*s[68] - 3*s[69] - (3*s[70])/2 + 3*s[71] - (5*s[72])/2 - 7*s[73] + 
       (31*s[74])/8 - (31*s[75])/8 - (15*s[76])/2 + (35*s[77])/4 + 4*s[78] - 
       96*s[79] + (89*s[80])/6 - 498*s[82] + (3*s[83])/2 - 57*s[84] - 
       132*s[85])*\[Zeta][3] + HPL[{0, 1, 1, 1}, 1 - v]*
      (s[2]/2 - (651*s[3])/4 - (14017*s[4])/8 - (34299*s[5])/44 - 
       (224865*s[6])/88 - (12469979*s[7])/528 + (1709321*s[8])/792 + 
       (353749*s[9])/18 + (51784*s[10])/9 + (13882949*s[11])/528 + 
       (1952135*s[12])/66 + (3161901*s[13])/176 + (827177*s[14])/528 + 
       (1452725*s[15])/48 + (430790*s[16])/11 + (14894251*s[17])/528 + 
       (117307*s[18])/27 + (717649*s[19])/216 + (108516817*s[20])/2376 + 
       (75741131*s[21])/4752 - (58830091*s[22])/4752 - (337270*s[23])/11 - 
       (30200743*s[24])/1188 + (732326191*s[25])/21384 - 
       (387527587*s[26])/21384 - 13*s[30] + 4*s[31] - 16*s[32] + 6*s[33] - 
       11*s[34] + 7*s[35] + (101*s[36])/3 - (280*s[37])/3 - 898*s[38] + 
       (7273*s[39])/2 - (24913*s[40])/6 + (6463*s[41])/2 - (15616*s[42])/3 - 
       (220025*s[43])/66 + (905141*s[44])/264 - (243035*s[45])/66 + 
       (952205*s[46])/33 - (932713*s[47])/792 - (534997*s[48])/792 + 
       (11662291*s[49])/792 - (1454921*s[50])/66 - (2889209*s[51])/792 - 
       (2396225*s[52])/792 + (5935639*s[53])/396 - (58403*s[54])/66 + 
       (8473165*s[55])/88 + (6830467*s[56])/264 - (10646719*s[57])/396 + 
       (35995679*s[58])/792 - (4001903*s[59])/88 - (1130203333*s[60])/4752 + 
       (133274623*s[61])/10692 - 7*s[65] - 28*s[66] + 14*s[67] + 22*s[68] + 
       36*s[69] - 14*s[70] + 4*s[71] + 2*s[72] + 2*s[73] + (5*s[74])/2 - 
       (5*s[75])/2 + 16*s[76] + 9*s[77] + 54*s[78] - 456*s[79] + 
       (406*s[80])/3 - 528*s[82] + 21*s[83] - 174*s[84] - 120*s[85])*
      \[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      ((-169*s[2])/12 - (363*s[3])/4 - (28889*s[4])/24 - (22289*s[5])/24 - 
       (7031*s[6])/3 - (41319*s[7])/2 + (44539*s[8])/27 + (469186*s[9])/27 + 
       (153038*s[10])/27 + (3260141*s[11])/144 + (443255*s[12])/18 + 
       (2116703*s[13])/144 + (443501*s[14])/144 + (1988413*s[15])/72 + 
       (5060423*s[16])/144 + (3948779*s[17])/144 + (2526451*s[18])/648 + 
       (994633*s[19])/324 + (26959303*s[20])/648 + (19716665*s[21])/1296 - 
       (14021443*s[22])/1296 - (3325981*s[23])/144 - (29498191*s[24])/1296 + 
       (333434231*s[25])/11664 - (185745437*s[26])/11664 - (17*s[30])/6 - 
       (4*s[31])/3 - (5*s[32])/6 + (23*s[33])/4 - 8*s[34] + (31*s[35])/3 + 
       33*s[36] - (457*s[37])/8 - (2369*s[38])/4 + (60355*s[39])/24 - 
       (67651*s[40])/24 + (26713*s[41])/12 - (44227*s[42])/12 - 
       (579833*s[43])/264 + (1248127*s[44])/528 - (443101*s[45])/176 + 
       (3529557*s[46])/176 - (448181*s[47])/528 - (192299*s[48])/528 + 
       (1771239*s[49])/176 - (1015361*s[50])/66 - (1324267*s[51])/528 - 
       (352741*s[52])/176 + (350983*s[53])/33 - (15644*s[54])/33 + 
       (35573047*s[55])/528 + (9564413*s[56])/528 - (14883265*s[57])/792 + 
       (74859701*s[58])/2376 - (150604813*s[59])/4752 - 
       (32362355*s[60])/198 + (759099083*s[61])/85536 - 4*s[68] + 4*s[69] - 
       3*s[70] - 7*s[72] - s[73]/2 + (131*s[74])/12 - (131*s[75])/12 + 
       (25*s[76])/3 + (11*s[77])/6 - (13*s[78])/2 - 228*s[79] + 
       (799*s[80])/12 - 582*s[82] + (3*s[83])/2 - 109*s[84] - 108*s[85])*
      \[Zeta][3] + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      ((-82*s[2])/3 - 192*s[3] - 1593*s[4] - (108865*s[5])/88 - 
       (130937*s[6])/44 - (126534319*s[7])/4752 + (15160273*s[8])/7128 + 
       (14491925*s[9])/648 + (2328863*s[10])/324 + (138623491*s[11])/4752 + 
       (150569651*s[12])/4752 + (15027271*s[13])/792 + (8495453*s[14])/2376 + 
       (5169959*s[15])/144 + (23896951*s[16])/528 + (168428861*s[17])/4752 + 
       (9465529*s[18])/1944 + (8160911*s[19])/1944 + (569668651*s[20])/
        10692 + (51874609*s[21])/2673 - (37135193*s[22])/2673 - 
       (23748599*s[23])/792 - (157190353*s[24])/5346 + 
       (14274527389*s[25])/384912 - (7897150267*s[26])/384912 - 2*s[29] - 
       (16*s[30])/3 - (28*s[31])/3 + (11*s[32])/6 - (53*s[33])/12 + 
       (31*s[34])/3 + (185*s[35])/6 + (578*s[36])/9 - (883*s[37])/9 - 
       (5341*s[38])/6 + (28073*s[39])/8 - (280345*s[40])/72 + 
       (72169*s[41])/24 - (89921*s[42])/18 - (2517527*s[43])/792 + 
       (5202121*s[44])/1584 - (1505407*s[45])/396 + (22761175*s[46])/792 - 
       (5425829*s[47])/4752 - (2377355*s[48])/4752 + (68605169*s[49])/4752 - 
       (2182678*s[50])/99 - (16095241*s[51])/4752 - (13049083*s[52])/4752 + 
       (4587040*s[53])/297 - (47104*s[54])/99 + (51925615*s[55])/528 + 
       (40592641*s[56])/1584 - (2238682*s[57])/99 + (628032523*s[58])/14256 - 
       (640543933*s[59])/14256 - (6742247315*s[60])/28512 + 
       (1620407495*s[61])/128304 - s[65]/6 - (5*s[66])/3 + s[67]/3 - 
       (29*s[68])/3 + (19*s[69])/3 - (20*s[70])/3 - (4*s[71])/3 - 
       (29*s[72])/3 + (49*s[74])/4 - (49*s[75])/4 + (91*s[76])/3 + 
       (23*s[77])/6 - (62*s[78])/3 - (670*s[79])/3 + (295*s[80])/9 - 
       516*s[82] + (11*s[83])/4 - (237*s[84])/2 - 100*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*((-421*s[2])/12 - (3901*s[3])/24 - 
       (21753*s[4])/16 - (91187*s[5])/88 - (1331281*s[6])/528 - 
       (213523637*s[7])/9504 + (2809681*s[8])/1584 + (680659*s[9])/36 + 
       (436313*s[10])/72 + (77908331*s[11])/3168 + (14087779*s[12])/528 + 
       (151909261*s[13])/9504 + (10165901*s[14])/3168 + 
       (26159291*s[15])/864 + (22655623*s[16])/594 + (284201015*s[17])/9504 + 
       (1355951*s[18])/324 + (4472353*s[19])/1296 + (642439351*s[20])/14256 + 
       (466700011*s[21])/28512 - (111534893*s[22])/9504 - 
       (120497299*s[23])/4752 - (117681239*s[24])/4752 + 
       (1000949033*s[25])/32076 - (553568717*s[26])/32076 - 5*s[29] - 
       s[30]/6 - (25*s[31])/3 - (29*s[32])/6 - (31*s[33])/12 + (31*s[34])/6 + 
       (11*s[35])/3 + (523*s[36])/18 - (153*s[37])/2 - (2276*s[38])/3 + 
       (70463*s[39])/24 - (236857*s[40])/72 + (61295*s[41])/24 - 
       (75119*s[42])/18 - (2130779*s[43])/792 + (1102459*s[44])/396 - 
       (427421*s[45])/132 + (19365131*s[46])/792 - (530833*s[47])/594 - 
       (1351891*s[48])/2376 + (28892881*s[49])/2376 - (1862119*s[50])/99 - 
       (3461473*s[51])/1188 - (5505239*s[52])/2376 + (15595163*s[53])/1188 - 
       (50615*s[54])/99 + (8303906*s[55])/99 + (52151047*s[56])/2376 - 
       (16376567*s[57])/891 + (796407053*s[58])/21384 - 
       (809181977*s[59])/21384 - (2879569177*s[60])/14256 + 
       (1036735171*s[61])/96228 + 2*s[63] - (7*s[65])/6 - (17*s[66])/3 + 
       (10*s[67])/3 - (14*s[68])/3 + (40*s[69])/3 - (8*s[70])/3 + 
       (2*s[71])/3 - (4*s[72])/3 + (5*s[73])/3 + (55*s[74])/6 - 
       (55*s[75])/6 + 13*s[76] - s[77]/3 + (10*s[78])/3 - 254*s[79] + 
       (206*s[80])/3 - 516*s[82] + (11*s[83])/4 - (237*s[84])/2 - 100*s[85])*
      \[Zeta][3] + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      (-42*s[2] - (703*s[3])/2 - (4669*s[4])/4 - (15253*s[5])/11 - 
       (122945*s[6])/44 - (19710109*s[7])/792 + (1814795*s[8])/1188 + 
       (1134767*s[9])/54 + (207242*s[10])/27 + (21433439*s[11])/792 + 
       (11288183*s[12])/396 + (13361719*s[13])/792 + (4265153*s[14])/792 + 
       (2517395*s[15])/72 + (17145173*s[16])/396 + (9491531*s[17])/264 + 
       (755779*s[18])/162 + (1482325*s[19])/324 + (185518549*s[20])/3564 + 
       (140074883*s[21])/7128 - (91896979*s[22])/7128 - (2209879*s[23])/99 - 
       (51776503*s[24])/1782 + (267326404*s[25])/8019 - 
       (312003509*s[26])/16038 - 14*s[29] + 10*s[30] + 4*s[33] - 10*s[34] - 
       4*s[35] - (88*s[36])/3 + 8*s[37] - 836*s[38] + 2488*s[39] - 
       (8360*s[40])/3 + 2170*s[41] - (9472*s[42])/3 - (87850*s[43])/33 + 
       (167963*s[44])/66 - (41336*s[45])/11 + (807124*s[46])/33 - 
       (57505*s[47])/198 - (289429*s[48])/198 + (2418847*s[49])/198 - 
       (626920*s[50])/33 - (412301*s[51])/198 - (355235*s[52])/198 + 
       (1305671*s[53])/99 + (21166*s[54])/33 + (5768075*s[55])/66 + 
       (4308217*s[56])/198 - (2688401*s[57])/297 + (62626451*s[58])/1782 - 
       (65058539*s[59])/1782 - (248124793*s[60])/1188 + 
       (89891017*s[61])/8019 + 8*s[63] - 4*s[65] - 12*s[66] + 8*s[67] + 
       24*s[68] + 12*s[69] - 12*s[70] + 8*s[71] + 8*s[72] + 12*s[73] - 
       6*s[74] + 6*s[75] - 8*s[76] + 38*s[77] + 16*s[78] + 8*s[79] - 
       40*s[80] - 494*s[82] - 96*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*(-7*s[2] - (353*s[3])/2 - 
       (4895*s[4])/4 - (6324*s[5])/11 - (74189*s[6])/44 - 
       (12380635*s[7])/792 + (1663861*s[8])/1188 + (348431*s[9])/27 + 
       (199799*s[10])/54 + (14009857*s[11])/792 + (3952115*s[12])/198 + 
       (1098767*s[13])/88 + (181297*s[14])/792 + (481751*s[15])/24 + 
       (853922*s[16])/33 + (14673671*s[17])/792 + (193273*s[18])/81 + 
       (947423*s[19])/324 + (103815161*s[20])/3564 + (71615311*s[21])/7128 - 
       (58132343*s[22])/7128 - (438259*s[23])/22 - (15691288*s[24])/891 + 
       (752534831*s[25])/32076 - (384845771*s[26])/32076 - 4*s[30] - 
       4*s[31] + 6*s[32] - (11*s[33])/2 + 2*s[34] + 8*s[35] + (119*s[36])/3 - 
       113*s[37] - 768*s[38] + (10543*s[39])/4 - (35057*s[40])/12 + 
       (8799*s[41])/4 - (43189*s[42])/12 - (326155*s[43])/132 + 
       (650171*s[44])/264 - (54215*s[45])/22 + (2547343*s[46])/132 - 
       (602755*s[47])/792 - (387001*s[48])/792 + (8754985*s[49])/792 - 
       (486373*s[50])/33 - (1876937*s[51])/792 - (1610525*s[52])/792 + 
       (3953405*s[53])/396 - (1043*s[54])/33 + (5612621*s[55])/88 + 
       (12672235*s[56])/792 - (10787251*s[57])/594 + (215925797*s[58])/7128 - 
       (221468231*s[59])/7128 - (767304763*s[60])/4752 + 
       (500493665*s[61])/64152 - 2*s[66] - 2*s[70] - 3*s[71] - 4*s[72] - 
       2*s[76] + 14*s[77] + 4*s[78] - 144*s[79] + 42*s[80] - 494*s[82] - 
       96*s[85])*\[Zeta][3] + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      (-52*s[2] + (20*s[3])/3 - (2749*s[4])/2 - (92759*s[5])/66 - 
       (135197*s[6])/44 - (43205903*s[7])/1584 + (14160359*s[8])/7128 + 
       (15075883*s[9])/648 + (4861673*s[10])/648 + (141787541*s[11])/4752 + 
       (9559288*s[12])/297 + (91018859*s[13])/4752 + (22433237*s[14])/4752 + 
       (15836683*s[15])/432 + (27537139*s[16])/594 + (174346979*s[17])/4752 + 
       (10195271*s[18])/1944 + (1865155*s[19])/486 + (1188464383*s[20])/
        21384 + (892849037*s[21])/42768 - (616117951*s[22])/42768 - 
       (70019789*s[23])/2376 - (636322859*s[24])/21384 + 
       (7153476313*s[25])/192456 - (2043311879*s[26])/96228 + s[30]/3 - 
       (64*s[31])/3 + 8*s[32] - (19*s[33])/3 + 33*s[34] + (62*s[35])/3 + 
       (806*s[36])/9 - (649*s[37])/6 - 917*s[38] + (11185*s[39])/3 - 
       (37142*s[40])/9 + (19291*s[41])/6 - (96827*s[42])/18 - 
       (310000*s[43])/99 + (5490139*s[44])/1584 - (226151*s[45])/66 + 
       (5527919*s[46])/198 - (6313385*s[47])/4752 - (1295009*s[48])/4752 + 
       (69573815*s[49])/4752 - (2120455*s[50])/99 - (17480401*s[51])/4752 - 
       (13884163*s[52])/4752 + (17553539*s[53])/1188 - (126845*s[54])/396 + 
       (147372227*s[55])/1584 + (116906225*s[56])/4752 - 
       (200552359*s[57])/7128 + (1892330353*s[58])/42768 - 
       (1916251507*s[59])/42768 - (6482137349*s[60])/28512 + 
       (4606006987*s[61])/384912 + (10*s[65])/3 + (40*s[66])/3 - 
       (64*s[67])/3 - (40*s[68])/3 - (88*s[69])/3 - (16*s[70])/3 - 
       (17*s[71])/6 - (76*s[72])/3 + (92*s[73])/3 + (49*s[74])/2 - 
       (49*s[75])/2 + (43*s[76])/3 + (50*s[77])/3 - (133*s[78])/3 - 
       300*s[79] + 82*s[80] - 408*s[82] - 10*s[83] - 124*s[84] - 96*s[85])*
      \[Zeta][3] + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
      (-27*s[2] - (337*s[3])/12 - 1077*s[4] - (235379*s[5])/264 - 
       (283193*s[6])/132 - (15271315*s[7])/792 + (10884959*s[8])/7128 + 
       (1323302*s[9])/81 + (1687399*s[10])/324 + (100283039*s[11])/4752 + 
       (108996985*s[12])/4752 + (32604085*s[13])/2376 + 
       (3372029*s[14])/1188 + (5563139*s[15])/216 + (77555689*s[16])/2376 + 
       (120949463*s[17])/4752 + (3498649*s[18])/972 + (1357441*s[19])/486 + 
       (414569459*s[20])/10692 + (303769117*s[21])/21384 - 
       (54267053*s[22])/5346 - (102354169*s[23])/4752 - 
       (901121293*s[24])/42768 + (10256675999*s[25])/384912 - 
       (5717066981*s[26])/384912 + s[30]/2 - (29*s[31])/3 + (11*s[32])/3 - 
       (31*s[33])/8 + (61*s[34])/6 + 3*s[35] + (115*s[36])/3 - 
       (1033*s[37])/18 - 615*s[38] + (7691*s[39])/3 - 2893*s[40] + 
       (13579*s[41])/6 - (22261*s[42])/6 - (25589*s[43])/11 + 
       (644317*s[44])/264 - (1102775*s[45])/396 + (8434091*s[46])/396 - 
       (212621*s[47])/264 - (124093*s[48])/264 + (697363*s[49])/66 - 
       (180527*s[50])/11 - (495127*s[51])/198 - (533723*s[52])/264 + 
       (6781235*s[53])/594 - (123421*s[54])/396 + (6396427*s[55])/88 + 
       (11411899*s[56])/594 - (62378651*s[57])/3564 + 
       (351026113*s[58])/10692 - (88931494*s[59])/2673 - 
       (415887589*s[60])/2376 + (907407415*s[61])/96228 - (4*s[70])/3 - 
       (26*s[72])/3 - (8*s[73])/3 + (59*s[74])/6 - (59*s[75])/6 + 14*s[76] + 
       3*s[77] - (26*s[78])/3 - (740*s[79])/3 + (602*s[80])/9 - 385*s[82] + 
       (5*s[83])/4 - (211*s[84])/2 - 92*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*((-215*s[2])/12 - (269*s[3])/24 - 
       (47225*s[4])/48 - (64425*s[5])/88 - (947203*s[6])/528 - 
       (156600827*s[7])/9504 + (6473963*s[8])/4752 + (1509151*s[9])/108 + 
       (458813*s[10])/108 + (57363805*s[11])/3168 + (31502717*s[12])/1584 + 
       (113239891*s[13])/9504 + (6438691*s[14])/3168 + (18761849*s[15])/864 + 
       (65670373*s[16])/2376 + (200060897*s[17])/9504 + (1013431*s[18])/324 + 
       (2898881*s[19])/1296 + (467184827*s[20])/14256 + 
       (112893575*s[21])/9504 - (248072401*s[22])/28512 - 
       (93604195*s[23])/4752 - (251744987*s[24])/14256 + 
       (109550477*s[25])/4752 - (20065711*s[26])/1584 - s[29]/3 - 
       (8*s[30])/3 - (31*s[31])/3 + (23*s[32])/6 - (65*s[33])/8 + 
       (46*s[34])/3 + (5*s[35])/2 + (683*s[36])/18 - (536*s[37])/9 - 
       (1711*s[38])/3 + (28537*s[39])/12 - (96613*s[40])/36 + 
       (8363*s[41])/4 - (62191*s[42])/18 - (824801*s[43])/396 + 
       (443275*s[44])/198 - (242648*s[45])/99 + (7562503*s[46])/396 - 
       (1883627*s[47])/2376 - (743675*s[48])/2376 + (11308327*s[49])/1188 - 
       (5821121*s[50])/396 - (1409791*s[51])/594 - (2262407*s[52])/1188 + 
       (24201505*s[53])/2376 - (162443*s[54])/396 + (5692161*s[55])/88 + 
       (755681*s[56])/44 - (5070799*s[57])/297 + (212295713*s[58])/7128 - 
       (107162497*s[59])/3564 - (278532049*s[60])/1782 + 
       (119613013*s[61])/14256 - s[65]/6 - (2*s[66])/3 + s[67]/3 - s[68] + 
       (7*s[69])/3 + (7*s[70])/3 + s[71]/6 - (23*s[72])/3 + s[73]/3 + 
       (133*s[74])/12 - (133*s[75])/12 + 13*s[76] + (5*s[77])/6 - 10*s[78] - 
       248*s[79] + (605*s[80])/9 - 385*s[82] + (5*s[83])/4 - (211*s[84])/2 - 
       92*s[85])*\[Zeta][3] + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      ((-311*s[2])/6 + (385*s[3])/12 - (36053*s[4])/24 - (117951*s[5])/88 - 
       (800065*s[6])/264 - (65528765*s[7])/2376 + (2499445*s[8])/1188 + 
       (5080171*s[9])/216 + (396317*s[10])/54 + (16054849*s[11])/528 + 
       (52611409*s[12])/1584 + (5927663*s[13])/297 + (1034413*s[14])/264 + 
       (3918937*s[15])/108 + (55194485*s[16])/1188 + (169833055*s[17])/4752 + 
       (140272*s[18])/27 + (281621*s[19])/72 + (131406229*s[20])/2376 + 
       (36274583*s[21])/1782 - (104206865*s[22])/7128 - 
       (147581767*s[23])/4752 - (427220551*s[24])/14256 + 
       (2460546365*s[25])/64152 - (341819261*s[26])/16038 + (4*s[30])/3 - 
       (70*s[31])/3 + (85*s[32])/6 - (133*s[33])/12 + (110*s[34])/3 + 
       (38*s[35])/3 + (1627*s[36])/18 - (1489*s[37])/12 - (2977*s[38])/3 + 
       (95827*s[39])/24 - (321037*s[40])/72 + (83219*s[41])/24 - 
       (414683*s[42])/72 - (2653655*s[43])/792 + (5924593*s[44])/1584 - 
       (987545*s[45])/264 + (11916811*s[46])/396 - (6650927*s[47])/4752 - 
       (1863221*s[48])/4752 + (74787737*s[49])/4752 - (9177271*s[50])/396 - 
       (18935641*s[51])/4752 - (15073147*s[52])/4752 + (9357283*s[53])/594 - 
       (15221*s[54])/99 + (157780771*s[55])/1584 + (125269739*s[56])/4752 - 
       (55418839*s[57])/1782 + (2050974043*s[58])/42768 - 
       (2059259011*s[59])/42768 - (7008890453*s[60])/28512 + 
       (1241572693*s[61])/96228 + (4*s[65])/3 + (28*s[66])/3 - (56*s[67])/3 - 
       (8*s[68])/3 - (80*s[69])/3 - (8*s[70])/3 - (4*s[71])/3 - 
       (64*s[72])/3 + (62*s[73])/3 + (71*s[74])/3 - (71*s[75])/3 + 16*s[76] + 
       (35*s[77])/3 - (92*s[78])/3 - 348*s[79] + (553*s[80])/6 - 388*s[82] - 
       7*s[83] - 138*s[84] - 88*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*((-142*s[2])/3 + (231*s[3])/4 - 
       (34483*s[4])/24 - (101433*s[5])/88 - (753619*s[6])/264 - 
       (117253753*s[7])/4752 + (13885117*s[8])/7128 + (6798721*s[9])/324 + 
       (4032703*s[10])/648 + (32487019*s[11])/1188 + (143061401*s[12])/4752 + 
       (29052341*s[13])/1584 + (14877139*s[14])/4752 + (4597835*s[15])/144 + 
       (10885297*s[16])/264 + (9254534*s[17])/297 + (8933737*s[18])/1944 + 
       (6417899*s[19])/1944 + (260120321*s[20])/5346 + 
       (764569369*s[21])/42768 - (559591613*s[22])/42768 - 
       (46346563*s[23])/1584 - (1126903979*s[24])/42768 + 
       (6684586001*s[25])/192456 - (3680653985*s[26])/192456 + 3*s[29] - 
       (7*s[30])/3 - (79*s[31])/3 + (29*s[32])/6 - (127*s[33])/6 + 
       (133*s[34])/3 + (16*s[35])/3 + (1549*s[36])/18 - (3427*s[37])/36 - 
       961*s[38] + (93619*s[39])/24 - (313357*s[40])/72 + (80983*s[41])/24 - 
       (407339*s[42])/72 - (234421*s[43])/72 + (32489*s[44])/9 - 
       (244915*s[45])/72 + (255181*s[46])/9 - (38524*s[47])/27 - 
       (61985*s[48])/216 + (409192*s[49])/27 - (780593*s[50])/36 - 
       (836563*s[51])/216 - (673339*s[52])/216 + (1592441*s[53])/108 - 
       (13367*s[54])/36 + (6687763*s[55])/72 + (894139*s[56])/36 - 
       (6838057*s[57])/216 + (2470441*s[58])/54 - (1103381*s[59])/24 - 
       (298813043*s[60])/1296 + (139719839*s[61])/11664 - 2*s[63] + 
       (7*s[65])/3 + (34*s[66])/3 - (59*s[67])/3 - (32*s[68])/3 - 
       (77*s[69])/3 + (7*s[70])/3 - (11*s[71])/6 - (74*s[72])/3 + 32*s[73] + 
       24*s[74] - 24*s[75] + (64*s[76])/3 + (16*s[77])/3 - (131*s[78])/3 - 
       (1108*s[79])/3 + (1733*s[80])/18 - 388*s[82] - 7*s[83] - 138*s[84] - 
       88*s[85])*\[Zeta][3] + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((-55*s[2])/3 + (229*s[3])/3 + 400*s[4] - (3437*s[5])/11 - 
       (1225*s[6])/22 - (400844*s[7])/297 - (672773*s[8])/1782 + 
       (122509*s[9])/81 + (271537*s[10])/162 + (979597*s[11])/1188 - 
       (539401*s[12])/1188 - (261889*s[13])/297 + (915967*s[14])/297 + 
       (107569*s[15])/27 + (2307937*s[16])/594 + (2411093*s[17])/396 + 
       (208813*s[18])/486 + (111496*s[19])/243 + (33723329*s[20])/5346 + 
       (16918607*s[21])/5346 - (2118911*s[22])/2673 + (6553595*s[23])/1188 - 
       (27827573*s[24])/10692 - (53422253*s[25])/96228 - 
       (109403011*s[26])/96228 - 8*s[29] + 4*s[30] + 12*s[32] + 19*s[33] - 
       (16*s[34])/3 + 24*s[35] + (154*s[36])/9 + (970*s[37])/9 + 
       (710*s[38])/3 - (2459*s[39])/3 + (7241*s[40])/9 - (1456*s[41])/3 + 
       (10732*s[42])/9 + (5321*s[43])/9 - (17063*s[44])/36 + 
       (2041*s[45])/18 - (47585*s[46])/18 + (65665*s[47])/108 - 
       (54779*s[48])/108 - (205411*s[49])/108 + (10496*s[50])/9 + 
       (95441*s[51])/108 + (91007*s[52])/108 - (46591*s[53])/54 + 
       (13262*s[54])/9 - (153547*s[55])/36 - (74359*s[56])/36 + 
       (606751*s[57])/54 - (711757*s[58])/108 + (651443*s[59])/108 + 
       (10652719*s[60])/648 - (1819505*s[61])/2916 - (2*s[65])/3 + 
       (4*s[66])/3 - 8*s[67] + (68*s[68])/3 - (68*s[69])/3 - 4*s[70] + 
       (8*s[71])/3 - 4*s[72] - (32*s[73])/3 + (11*s[74])/3 - (11*s[75])/3 - 
       (22*s[76])/3 + 18*s[77] - (56*s[78])/3 + (80*s[79])/3 - 
       (298*s[80])/9 - 490*s[82] + s[83]/2 + 21*s[84] - 88*s[85])*
      \[Zeta][3] + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((-197*s[2])/6 + (3475*s[3])/12 + (10147*s[4])/8 + (35237*s[5])/44 + 
       (162735*s[6])/88 + (86300845*s[7])/4752 - (11210567*s[8])/7128 - 
       (1229771*s[9])/81 - (362329*s[10])/81 - (96020747*s[11])/4752 - 
       (26804359*s[12])/1188 - (63695389*s[13])/4752 - (6254267*s[14])/4752 - 
       (10223003*s[15])/432 - (36044461*s[16])/1188 - (11833165*s[17])/528 - 
       (1768409*s[18])/486 - (5196871*s[19])/1944 - (762029923*s[20])/21384 - 
       (541141745*s[21])/42768 + (403771921*s[22])/42768 + 
       (7219049*s[23])/297 + (206985925*s[24])/10692 - 
       (5042298721*s[25])/192456 + (2708930245*s[26])/192456 + 4*s[29] + 
       9*s[30] - 10*s[31] + 5*s[32] - (21*s[33])/2 - (31*s[34])/3 - 8*s[35] - 
       (272*s[36])/9 + (1427*s[37])/18 + (1889*s[38])/3 - (24425*s[39])/12 + 
       (79547*s[40])/36 - (19363*s[41])/12 + (100183*s[42])/36 + 
       (666157*s[43])/396 - (343235*s[44])/198 + (834283*s[45])/396 - 
       (1496357*s[46])/99 + (228131*s[47])/297 + (22349*s[48])/1188 - 
       (2224085*s[49])/297 + (2220149*s[50])/198 + (2447917*s[51])/1188 + 
       (2116885*s[52])/1188 - (2272591*s[53])/297 + (172709*s[54])/198 - 
       (19611641*s[55])/396 - (894781*s[56])/66 + (19496837*s[57])/1188 - 
       (88004399*s[58])/3564 + (87354515*s[59])/3564 + 
       (871370471*s[60])/7128 - (35748143*s[61])/5346 + 4*s[63] + 
       (7*s[65])/3 + (22*s[66])/3 - 10*s[67] + (2*s[68])/3 - (74*s[69])/3 + 
       8*s[70] - (19*s[71])/3 - 2*s[72] + (16*s[73])/3 - (29*s[74])/6 + 
       (29*s[75])/6 - (40*s[76])/3 - 9*s[77] + (16*s[78])/3 + (170*s[79])/3 + 
       (233*s[80])/9 - 490*s[82] + s[83]/2 + 21*s[84] - 88*s[85])*
      \[Zeta][3] + HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((20*s[2])/3 - (59*s[3])/3 + (3987*s[4])/2 + (7424*s[5])/11 + 
       (28098*s[6])/11 + (26834587*s[7])/1188 - (2128168*s[8])/891 - 
       (1522544*s[9])/81 - (667421*s[10])/162 - (15359083*s[11])/594 - 
       (35900503*s[12])/1188 - (22679605*s[13])/1188 + (1078783*s[14])/1188 - 
       (2907113*s[15])/108 - (10672711*s[16])/297 - (2284949*s[17])/99 - 
       (1879931*s[18])/486 - (1369489*s[19])/486 - (215696815*s[20])/5346 - 
       (147104075*s[21])/10692 + (127668367*s[22])/10692 + 
       (41926943*s[23])/1188 + (248131771*s[24])/10692 - 
       (3353191601*s[25])/96228 + (1682183003*s[26])/96228 - 8*s[29] + 
       4*s[30] + 16*s[31] + 8*s[32] + 32*s[33] - (94*s[34])/3 + 14*s[35] - 
       (410*s[36])/9 + (2335*s[37])/9 + (3668*s[38])/3 - (14336*s[39])/3 + 
       (47288*s[40])/9 - (11842*s[41])/3 + (62566*s[42])/9 + 
       (382840*s[43])/99 - (1608247*s[44])/396 + (618047*s[45])/198 - 
       (5789929*s[46])/198 + (2506499*s[47])/1188 - (616621*s[48])/1188 - 
       (19963841*s[49])/1188 + (2123080*s[50])/99 + (5579455*s[51])/1188 + 
       (4835323*s[52])/1188 - (8585591*s[53])/594 + (207550*s[54])/99 - 
       (35611973*s[55])/396 - (1098453*s[56])/44 + (27138829*s[57])/594 - 
       (180882869*s[58])/3564 + (180204023*s[59])/3564 + 
       (1657648985*s[60])/7128 - (4475971*s[61])/396 - (2*s[65])/3 - 
       (2*s[66])/3 + (74*s[68])/3 - (50*s[69])/3 - 12*s[70] + (8*s[71])/3 + 
       12*s[72] - (8*s[73])/3 - (37*s[74])/3 + (37*s[75])/3 - (70*s[76])/3 + 
       28*s[77] + (76*s[78])/3 + (1532*s[79])/3 - (1546*s[80])/9 - 
       490*s[82] - (17*s[83])/2 + 75*s[84] - 88*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*((253*s[2])/6 + (1117*s[3])/12 + 
       (9141*s[4])/8 + (54355*s[5])/44 + (218153*s[6])/88 + 
       (106885123*s[7])/4752 - (11423285*s[8])/7128 - (3135151*s[9])/162 - 
       (464233*s[10])/81 - (118388477*s[11])/4752 - (32571043*s[12])/1188 - 
       (78331219*s[13])/4752 - (16464797*s[14])/4752 - (12652829*s[15])/432 - 
       (44244499*s[16])/1188 - (44165977*s[17])/1584 - (1125739*s[18])/243 - 
       (5354053*s[19])/1944 - (975949849*s[20])/21384 - 
       (733564943*s[21])/42768 + (509248831*s[22])/42768 + 
       (7629833*s[23])/297 + (259948879*s[24])/10692 - 
       (6022237285*s[25])/192456 + (3434724721*s[26])/192456 + 12*s[29] + 
       5*s[30] + 20*s[31] - s[32] + 5*s[33] - (109*s[34])/3 - 11*s[35] - 
       (218*s[36])/9 + (2537*s[37])/18 + (3518*s[38])/3 - (46841*s[39])/12 + 
       (154283*s[40])/36 - (38317*s[41])/12 + (193873*s[42])/36 + 
       (1326901*s[43])/396 - (670187*s[44])/198 + (1493035*s[45])/396 - 
       (2799464*s[46])/99 + (866527*s[47])/594 + (279767*s[48])/1188 - 
       (8693515*s[49])/594 + (2066176*s[50])/99 + (4504417*s[51])/1188 + 
       (3999001*s[52])/1188 - (4203409*s[53])/297 + (150892*s[54])/99 - 
       (36197147*s[55])/396 - (2484455*s[56])/99 + (38966305*s[57])/1188 - 
       (18481411*s[58])/396 + (54993731*s[59])/1188 + 
       (1632882341*s[60])/7128 - (194579993*s[61])/16038 + (16*s[65])/3 + 
       (34*s[66])/3 - 16*s[67] + (26*s[68])/3 - (134*s[69])/3 - 10*s[70] - 
       (28*s[71])/3 - 2*s[72] + (16*s[73])/3 - (29*s[74])/6 + (29*s[75])/6 - 
       (88*s[76])/3 + 43*s[77] - (8*s[78])/3 + (590*s[79])/3 + (83*s[80])/9 - 
       490*s[82] - (17*s[83])/2 + 75*s[84] - 88*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*((-67*s[2])/12 - (945*s[3])/8 - 
       (16985*s[4])/16 - (94135*s[5])/132 - (323185*s[6])/176 - 
       (162807335*s[7])/9504 + (19864067*s[8])/14256 + (1162792*s[9])/81 + 
       (1545377*s[10])/324 + (177601601*s[11])/9504 + (96302801*s[12])/4752 + 
       (12696593*s[13])/1056 + (22501871*s[14])/9504 + (744807*s[15])/32 + 
       (46354465*s[16])/1584 + (218868499*s[17])/9504 + 
       (6029203*s[18])/1944 + (10837519*s[19])/3888 + 
       (1476490177*s[20])/42768 + (1064351117*s[21])/85536 - 
       (764180773*s[22])/85536 - (5007521*s[23])/264 - 
       (204150641*s[24])/10692 + (9133828837*s[25])/384912 - 
       (5050149451*s[26])/384912 - 2*s[29] - (22*s[30])/3 + (11*s[31])/3 - 
       (37*s[32])/6 + (161*s[33])/24 - (35*s[34])/3 + (61*s[35])/3 + 
       (290*s[36])/9 - (1007*s[37])/18 - (3287*s[38])/6 + (26827*s[39])/12 - 
       (90401*s[40])/36 + (8009*s[41])/4 - (232859*s[42])/72 - 
       (806683*s[43])/396 + (1685495*s[44])/792 - (234331*s[45])/99 + 
       (7302653*s[46])/396 - (1630669*s[47])/2376 - (883483*s[48])/2376 + 
       (5524681*s[49])/594 - (5667295*s[50])/396 - (2623723*s[51])/1188 - 
       (4152065*s[52])/2376 + (23677265*s[53])/2376 - (75901*s[54])/396 + 
       (5585045*s[55])/88 + (6520139*s[56])/396 - (16691827*s[57])/1188 + 
       (66607169*s[58])/2376 - (2834804*s[59])/99 - (135783388*s[60])/891 + 
       (1031047951*s[61])/128304 - (7*s[65])/6 - (11*s[66])/3 + 
       (19*s[67])/3 - (5*s[68])/3 + (46*s[69])/3 - (11*s[70])/3 + 
       (2*s[71])/3 - (14*s[72])/3 - 4*s[73] + (17*s[74])/2 - (17*s[75])/2 + 
       (46*s[76])/3 - (29*s[77])/3 - (35*s[78])/3 - (649*s[79])/3 + 
       (397*s[80])/9 - 318*s[82] + (11*s[83])/4 - (213*s[84])/2 - 52*s[85])*
      \[Zeta][3] + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      ((-85*s[2])/12 - (619*s[3])/24 - (44431*s[4])/48 - (39671*s[5])/66 - 
       (802763*s[6])/528 - (137555201*s[7])/9504 + (5992859*s[8])/4752 + 
       (2624867*s[9])/216 + (804199*s[10])/216 + (50480479*s[11])/3168 + 
       (27872333*s[12])/1584 + (99629521*s[13])/9504 + (4775641*s[14])/3168 + 
       (16460687*s[15])/864 + (57661765*s[16])/2376 + 
       (174510755*s[17])/9504 + (435023*s[18])/162 + (2726897*s[19])/1296 + 
       (407444957*s[20])/14256 + (97073593*s[21])/9504 - 
       (216600679*s[22])/28512 - (83441491*s[23])/4752 - 
       (223693499*s[24])/14256 + (218292211*s[25])/10692 - 
       (236629937*s[26])/21384 + 2*s[29] - (8*s[30])/3 - s[31]/3 - 
       (5*s[32])/6 + (205*s[33])/24 - (16*s[34])/3 + (56*s[35])/3 + 
       (317*s[36])/9 - (281*s[37])/4 - 530*s[38] + (8441*s[39])/4 - 
       (84065*s[40])/36 + (10933*s[41])/6 - (220181*s[42])/72 - 
       (725407*s[43])/396 + (3032053*s[44])/1584 - (535787*s[45])/264 + 
       (12915941*s[46])/792 - (3655667*s[47])/4752 - (791135*s[48])/4752 + 
       (39329027*s[49])/4752 - (4950079*s[50])/396 - (10295917*s[51])/4752 - 
       (8162017*s[52])/4752 + (10289951*s[53])/1188 - (47381*s[54])/99 + 
       (86476783*s[55])/1584 + (68805413*s[56])/4752 - 
       (26955331*s[57])/1782 + (1091593969*s[58])/42768 - 
       (1097828125*s[59])/42768 - (3799741079*s[60])/28512 + 
       (675676165*s[61])/96228 - s[65]/6 - (5*s[66])/3 + (13*s[67])/3 - 
       (29*s[68])/3 + (46*s[69])/3 - (5*s[70])/3 - (4*s[71])/3 - 
       (4*s[72])/3 - (19*s[73])/3 + (55*s[74])/6 - (55*s[75])/6 + 8*s[76] - 
       (52*s[77])/3 + (4*s[78])/3 - 202*s[79] + (377*s[80])/6 - 318*s[82] + 
       (11*s[83])/4 - (213*s[84])/2 - 52*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*((-23*s[2])/2 + (419*s[3])/12 - 
       (4847*s[4])/8 - (16909*s[5])/44 - (81549*s[6])/88 - 
       (15058843*s[7])/1584 + (6518729*s[8])/7128 + (1297933*s[9])/162 + 
       (765769*s[10])/324 + (24760279*s[11])/2376 + (13755109*s[12])/1188 + 
       (16245193*s[13])/2376 + (1892695*s[14])/2376 + (5397385*s[15])/432 + 
       (75352457*s[16])/4752 + (6991117*s[17])/594 + (3401675*s[18])/1944 + 
       (623389*s[19])/486 + (99961783*s[20])/5346 + (140159671*s[21])/21384 - 
       (107329451*s[22])/21384 - (57786217*s[23])/4752 - 
       (431189215*s[24])/42768 + (5184277217*s[25])/384912 - 
       (2765118707*s[26])/384912 + 2*s[29] - (11*s[30])/3 - (16*s[31])/3 + 
       (7*s[32])/2 + (17*s[33])/12 + 4*s[34] + (97*s[35])/6 + (170*s[36])/9 - 
       61*s[37] - (1949*s[38])/6 + (11335*s[39])/8 - (114103*s[40])/72 + 
       (29297*s[41])/24 - (150257*s[42])/72 - (87715*s[43])/72 + 
       (188537*s[44])/144 - (18497*s[45])/12 + (849331*s[46])/72 - 
       (215881*s[47])/432 - (33823*s[48])/432 + (2423719*s[49])/432 - 
       (164299*s[50])/18 - (609311*s[51])/432 - (488531*s[52])/432 + 
       (173554*s[53])/27 - (3355*s[54])/9 + (5888095*s[55])/144 + 
       (4648393*s[56])/432 - (5863229*s[57])/648 + (70142429*s[58])/3888 - 
       (71192279*s[59])/3888 - (250831105*s[60])/2592 + 
       (181161749*s[61])/34992 - (7*s[65])/6 - (11*s[66])/3 + (29*s[67])/3 + 
       (5*s[68])/3 + (53*s[69])/3 + (2*s[70])/3 - (4*s[71])/3 - s[72]/3 - 
       (58*s[73])/3 + (29*s[74])/4 - (29*s[75])/4 + (73*s[76])/3 - 
       (29*s[77])/6 - (4*s[78])/3 - 158*s[79] + (103*s[80])/3 - 316*s[82] + 
       (11*s[83])/4 - (197*s[84])/2 - 36*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*((-107*s[2])/4 - (107*s[3])/24 - 
       (35441*s[4])/48 - (46151*s[5])/88 - (695969*s[6])/528 - 
       (39470785*s[7])/3168 + (14616901*s[8])/14256 + (6836281*s[9])/648 + 
       (2211851*s[10])/648 + (128269567*s[11])/9504 + (8657375*s[12])/594 + 
       (82040677*s[13])/9504 + (17044699*s[14])/9504 + (14683337*s[15])/864 + 
       (100928801*s[16])/4752 + (159013285*s[17])/9504 + 
       (2234575*s[18])/972 + (6880337*s[19])/3888 + (1077741311*s[20])/
        42768 + (773879245*s[21])/85536 - (562104113*s[22])/85536 - 
       (67546591*s[23])/4752 - (579064099*s[24])/42768 + 
       (3291444919*s[25])/192456 - (1816107229*s[26])/192456 - s[30]/6 - 
       (43*s[31])/3 + 7*s[32] - (185*s[33])/6 + (35*s[34])/2 + (8*s[35])/3 + 
       (391*s[36])/18 - (547*s[37])/12 - (1987*s[38])/6 + (35227*s[39])/24 - 
       (122437*s[40])/72 + (32471*s[41])/24 - (155369*s[42])/72 - 
       (1101911*s[43])/792 + (2321569*s[44])/1584 - (485129*s[45])/264 + 
       (5370859*s[46])/396 - (1769003*s[47])/4752 - (1574105*s[48])/4752 + 
       (30034877*s[49])/4752 - (1052779*s[50])/99 - (6851161*s[51])/4752 - 
       (5386339*s[52])/4752 + (17885293*s[53])/2376 - (71135*s[54])/396 + 
       (8534169*s[55])/176 + (60118643*s[56])/4752 - (55717477*s[57])/7128 + 
       (856733575*s[58])/42768 - (881903641*s[59])/42768 - 
       (3215205485*s[60])/28512 + (2340478399*s[61])/384912 + 2*s[63] - 
       (13*s[65])/6 - (17*s[66])/3 + (38*s[67])/3 + (32*s[68])/3 + 
       (50*s[69])/3 + (20*s[70])/3 + (5*s[71])/3 + (2*s[72])/3 - 
       (22*s[73])/3 + (9*s[74])/2 - (9*s[75])/2 + (73*s[76])/3 - 
       (28*s[77])/3 - (31*s[78])/3 - 231*s[79] + (93*s[80])/2 - 316*s[82] + 
       (11*s[83])/4 - (197*s[84])/2 - 36*s[85])*\[Zeta][3] + 
     HPL[{0, 0, 1, 1}, 1 - v]*(-18*s[2] - (67*s[3])/3 - 1271*s[4] - 
       (46285*s[5])/33 - (88331*s[6])/33 - (29052517*s[7])/1188 + 
       (1769744*s[8])/891 + (3403829*s[9])/162 + (478178*s[10])/81 + 
       (32270893*s[11])/1188 + (8922653*s[12])/297 + (7247153*s[13])/396 + 
       (3460807*s[14])/1188 + (1139491*s[15])/36 + (446172*s[16])/11 + 
       (35914853*s[17])/1188 + (2276263*s[18])/486 + (1568045*s[19])/486 + 
       (258794837*s[20])/5346 + (193829281*s[21])/10692 - 
       (138355373*s[22])/10692 - (2906896*s[23])/99 - (70440515*s[24])/2673 + 
       (3318232369*s[25])/96228 - (1851437209*s[26])/96228 - (4*s[29])/3 + 
       10*s[30] - (8*s[31])/3 + (2*s[32])/3 + (145*s[33])/2 - 6*s[34] - 
       24*s[35] + (458*s[36])/9 - (899*s[37])/9 - (3692*s[38])/3 + 
       3693*s[39] - (37163*s[40])/9 + (9064*s[41])/3 - (43963*s[42])/9 - 
       (333241*s[43])/99 + (1313425*s[44])/396 - (1018777*s[45])/198 + 
       (2177095*s[46])/66 - (1331369*s[47])/1188 - (884813*s[48])/1188 + 
       (17995523*s[49])/1188 - (2499049*s[50])/99 - (3846757*s[51])/1188 - 
       (3589309*s[52])/1188 + (3438425*s[53])/198 + (5569*s[54])/33 + 
       (15257609*s[55])/132 + (36865189*s[56])/1188 - (45928859*s[57])/1782 + 
       (554720909*s[58])/10692 - (560503787*s[59])/10692 - 
       (1953285095*s[60])/7128 + (1487817479*s[61])/96228 - (26*s[65])/3 - 
       (68*s[66])/3 + 28*s[67] - (52*s[68])/3 + (256*s[69])/3 - 48*s[70] + 
       (32*s[71])/3 + 12*s[72] - (64*s[73])/3 - (23*s[74])/3 + (23*s[75])/3 + 
       (92*s[76])/3 - 6*s[77] + (32*s[78])/3 - (368*s[79])/3 - 
       (970*s[80])/9 - 52*s[82] + 10*s[83] - 36*s[84] - 32*s[85])*
      \[Zeta][3] + HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((-125*s[2])/6 + (515*s[3])/4 + (9821*s[4])/8 - (9007*s[5])/33 + 
       (245489*s[6])/264 + (3624187*s[7])/528 - (7954327*s[8])/7128 - 
       (1620745*s[9])/324 - (244145*s[10])/324 - (40234321*s[11])/4752 - 
       (3199964*s[12])/297 - (34568515*s[13])/4752 + (12834131*s[14])/4752 - 
       (3202601*s[15])/432 - (12735013*s[16])/1188 - (24660643*s[17])/4752 - 
       (250625*s[18])/972 - (3635405*s[19])/1944 - (195923237*s[20])/21384 - 
       (78794251*s[21])/42768 + (147439679*s[22])/42768 + 
       (3902255*s[23])/297 + (85275929*s[24])/10692 - 
       (1244407717*s[25])/96228 + (488842669*s[26])/96228 - (34*s[29])/3 + 
       13*s[30] - (110*s[31])/3 + (11*s[32])/3 - 26*s[33] + (143*s[34])/3 - 
       30*s[35] - (100*s[36])/3 + (878*s[37])/9 + 512*s[38] - 
       (25877*s[39])/12 + (29045*s[40])/12 - (7603*s[41])/4 + 
       (37639*s[42])/12 + (259555*s[43])/132 - (138113*s[44])/66 + 
       (154885*s[45])/198 - (4488053*s[46])/396 + (127627*s[47])/198 + 
       (112133*s[48])/396 - (1739005*s[49])/198 + (187579*s[50])/22 + 
       (839923*s[51])/396 + (631327*s[52])/396 - (1670275*s[53])/297 + 
       (44471*s[54])/198 - (13031837*s[55])/396 - (4537231*s[56])/594 + 
       (61617107*s[57])/3564 - (99653393*s[58])/5346 + 
       (208349599*s[59])/10692 + (18611807*s[60])/198 - 
       (639327629*s[61])/192456 + 4*s[63] - (13*s[65])/3 - (34*s[66])/3 + 
       18*s[67] - (38*s[68])/3 + (134*s[69])/3 - 10*s[70] + (13*s[71])/3 + 
       14*s[72] - 22*s[73] - (21*s[74])/2 + (21*s[75])/2 + (82*s[76])/3 - 
       13*s[77] + 6*s[78] + 280*s[79] - (1436*s[80])/9 + 18*s[82] + 
       (21*s[83])/2 - 15*s[84] - 24*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*((17*s[2])/3 + (379*s[3])/2 + 
       (1977*s[4])/4 + (857*s[5])/6 + (7967*s[6])/12 + (38929*s[7])/8 - 
       (162985*s[8])/324 - (620795*s[9])/162 - (167389*s[10])/162 - 
       (1214347*s[11])/216 - (700531*s[12])/108 - (846787*s[13])/216 + 
       (4079*s[14])/216 - (1371667*s[15])/216 - (442357*s[16])/54 - 
       (1235977*s[17])/216 - (468439*s[18])/486 - (785035*s[19])/972 - 
       (8849603*s[20])/972 - (6456079*s[21])/1944 + (4695347*s[22])/1944 + 
       (794551*s[23])/108 + (5240095*s[24])/972 - (65248523*s[25])/8748 + 
       (35655947*s[26])/8748 - (16*s[29])/3 + 8*s[30] - (44*s[31])/3 + 
       (11*s[32])/3 - (7*s[33])/2 + (44*s[34])/3 - 20*s[35] - (52*s[36])/3 + 
       (140*s[37])/9 + 282*s[38] - (3107*s[39])/3 + (3509*s[40])/3 - 
       894*s[41] + (4270*s[42])/3 + (30565*s[43])/33 - (32965*s[44])/33 + 
       (130045*s[45])/198 - (1175389*s[46])/198 + (54937*s[47])/198 + 
       (27679*s[48])/198 - (823249*s[49])/198 + (48203*s[50])/11 + 
       (197825*s[51])/198 + (79249*s[52])/99 - (885862*s[53])/297 + 
       (13789*s[54])/99 - (3650599*s[55])/198 - (2668003*s[56])/594 + 
       (7425734*s[57])/891 - (26598835*s[58])/2673 + (55871993*s[59])/5346 + 
       (4763447*s[60])/99 - (218918737*s[61])/96228 - (4*s[65])/3 - 
       (16*s[66])/3 + 4*s[67] - (44*s[68])/3 + (80*s[69])/3 - 16*s[70] + 
       (4*s[71])/3 - 12*s[73] - 2*s[74] + 2*s[75] + (10*s[76])/3 + 12*s[78] - 
       32*s[79] + (58*s[80])/9 + 18*s[82] + (21*s[83])/2 - 15*s[84] - 
       24*s[85])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*((-4*s[2])/3 + (1283*s[3])/24 + (611*s[4])/16 + 
       (9841*s[5])/264 + (87515*s[6])/528 + (8804285*s[7])/9504 - 
       (242453*s[8])/14256 - (465341*s[9])/648 - (27302*s[10])/81 - 
       (10722401*s[11])/9504 - (6039305*s[12])/4752 - (2690231*s[13])/3168 - 
       (2465123*s[14])/9504 - (299857*s[15])/288 - (316759*s[16])/198 - 
       (11094415*s[17])/9504 - (20270*s[18])/243 - (1370359*s[19])/3888 - 
       (81135679*s[20])/42768 - (53794385*s[21])/85536 + 
       (39365281*s[22])/85536 + (28025*s[23])/1584 + (59438465*s[24])/42768 - 
       (279833063*s[25])/192456 + (72194101*s[26])/96228 + 2*s[29] - 
       s[30]/6 - 4*s[31] + 7*s[32] - (39*s[33])/4 + (37*s[34])/6 - 
       (4*s[35])/3 + (455*s[36])/36 + (607*s[37])/36 - (95*s[38])/4 + 
       (3613*s[39])/16 - (36281*s[40])/144 + (3671*s[41])/16 - 
       (60043*s[42])/144 - (247915*s[43])/1584 + (555365*s[44])/3168 - 
       (7955*s[45])/99 + (699911*s[46])/528 - (1025623*s[47])/9504 + 
       (1288931*s[48])/9504 + (6713689*s[49])/9504 - (475633*s[50])/396 - 
       (2480069*s[51])/9504 - (1450583*s[52])/9504 + (735773*s[53])/792 - 
       (535*s[54])/132 + (16160759*s[55])/3168 + (9999035*s[56])/9504 - 
       (2620049*s[57])/1782 + (166051561*s[58])/85536 - 
       (199276663*s[59])/85536 - (568176595*s[60])/57024 + 
       (392502391*s[61])/769824 + s[65]/2 + s[66] - s[67] + (13*s[68])/3 - 
       (25*s[69])/3 + (7*s[70])/2 + 2*s[71] - 6*s[72] + (7*s[73])/2 + 
       (13*s[74])/3 - (13*s[75])/3 + (7*s[76])/3 + (29*s[77])/6 - 
       (35*s[78])/6 - (112*s[79])/3 - (73*s[80])/9 + 173*s[82] + s[83]/4 - 
       (67*s[84])/2 + 2*s[85])*\[Zeta][3] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*(7*s[2] + (319*s[3])/6 - (3187*s[4])/24 + (83*s[5])/6 - 
       (117*s[6])/4 - (62345*s[7])/72 + (11767*s[8])/72 + (13555*s[9])/18 + 
       (1265*s[10])/18 + (7327*s[11])/8 + (17837*s[12])/16 + 
       (97331*s[13])/144 - (16087*s[14])/48 + (19993*s[15])/18 + 
       (183167*s[16])/144 + (48503*s[17])/72 + (22139*s[18])/108 - 
       (6715*s[19])/216 + (287317*s[20])/216 + (61535*s[21])/144 - 
       (206231*s[22])/432 - (42107*s[23])/18 - (103345*s[24])/216 + 
       (287489*s[25])/216 - (68875*s[26])/108 + (11*s[32])/3 + (27*s[33])/8 + 
       (3*s[34])/2 + (7*s[35])/2 + (217*s[36])/12 + (37*s[37])/8 - 
       (379*s[38])/3 + (27545*s[39])/48 - (9863*s[40])/16 + (8279*s[41])/16 - 
       (14275*s[42])/16 - (21101*s[43])/48 + (45241*s[44])/96 - 
       (6603*s[45])/16 + (31095*s[46])/8 - (23465*s[47])/96 + 
       (7097*s[48])/96 + (65665*s[49])/32 - (9385*s[50])/3 - 
       (18917*s[51])/32 - (14255*s[52])/32 + (19610*s[53])/9 + 
       (833*s[54])/12 + (3832733*s[55])/288 + (925319*s[56])/288 - 
       (454963*s[57])/108 + (15951871*s[58])/2592 - (16705495*s[59])/2592 - 
       (1977551*s[60])/64 + (2317321*s[61])/1458 + (10*s[68])/3 - 
       (10*s[69])/3 + (3*s[70])/2 + (5*s[71])/2 - 5*s[72] - 8*s[73] + 
       (29*s[74])/4 - (29*s[75])/4 - 3*s[76] + (13*s[77])/3 - s[78] - 
       50*s[79] - (89*s[80])/12 + 173*s[82] + s[83]/4 - (67*s[84])/2 + 
       2*s[85])*\[Zeta][3] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*(6*s[2] - (11*s[3])/6 + (73*s[4])/3 - 
       (3241*s[5])/33 - (6317*s[6])/44 - (278137*s[7])/396 + 
       (13039*s[8])/297 + (66623*s[9])/108 + (38047*s[10])/108 + 
       (406855*s[11])/792 + (179615*s[12])/792 - (9236*s[13])/99 + 
       (79784*s[14])/99 + (14009*s[15])/9 + (146917*s[16])/99 + 
       (523939*s[17])/264 + (62663*s[18])/162 - (45529*s[19])/324 + 
       (7578665*s[20])/3564 + (4058753*s[21])/3564 - (1125241*s[22])/3564 - 
       (483955*s[23])/792 - (4291739*s[24])/7128 + (7177157*s[25])/32076 - 
       (5283011*s[26])/8019 + 4*s[29] + 5*s[30] + 8*s[31] + (11*s[32])/3 + 
       (9*s[33])/4 - 11*s[34] - 15*s[35] - (44*s[36])/3 + (121*s[37])/2 + 
       (38*s[38])/3 + (25*s[39])/6 - (7*s[40])/2 + 76*s[41] - (353*s[42])/4 - 
       (5129*s[43])/66 - (2755*s[44])/264 - (4241*s[45])/33 + 
       (58159*s[46])/66 + (1733*s[47])/88 - (17725*s[48])/264 + 
       (20285*s[49])/264 - (55369*s[50])/66 - (6169*s[51])/88 + 
       (4889*s[52])/264 + (75764*s[53])/99 - (3657*s[54])/22 + 
       (3749653*s[55])/792 + (988445*s[56])/792 + (403481*s[57])/297 + 
       (5340325*s[58])/7128 - (8493061*s[59])/7128 - (10179787*s[60])/1584 + 
       (22753967*s[61])/32076 + 4*s[63] + s[65] + 6*s[66] - 10*s[67] + 
       (10*s[68])/3 - (76*s[69])/3 + 5*s[71] - 10*s[72] + 16*s[73] - 
       s[74]/2 + s[75]/2 - 20*s[76] + (25*s[77])/3 + 4*s[78] + 48*s[79] - 
       27*s[80] + 338*s[82] - 2*s[83] + 20*s[84] + 8*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((151*s[2])/6 + (1357*s[3])/12 + (2183*s[4])/8 + (9134*s[5])/33 + 
       (154873*s[6])/264 + (28488799*s[7])/4752 - (2692759*s[8])/7128 - 
       (1621027*s[9])/324 - (667835*s[10])/324 - (30838633*s[11])/4752 - 
       (16116739*s[12])/2376 - (2053829*s[13])/528 - (6348547*s[14])/4752 - 
       (413429*s[15])/48 - (8540183*s[16])/792 - (43414847*s[17])/4752 - 
       (954023*s[18])/972 - (2603675*s[19])/1944 - (275785793*s[20])/21384 - 
       (195285337*s[21])/42768 + (133972337*s[22])/42768 + 
       (302611*s[23])/66 + (19665614*s[24])/2673 - (1543757645*s[25])/
        192456 + (860566295*s[26])/192456 + 4*s[29] + (28*s[30])/3 + 
       6*s[31] + 2*s[32] + (31*s[33])/4 - (4*s[34])/3 + (41*s[35])/3 + 
       (50*s[36])/9 + (28*s[37])/9 + 3*s[38] - (327*s[39])/4 + 
       (5623*s[40])/36 - (467*s[41])/4 + (503*s[42])/9 + (35261*s[43])/396 - 
       (22889*s[44])/99 + (147919*s[45])/396 - (22214*s[46])/11 - 
       (31633*s[47])/594 + (236869*s[48])/1188 - (498815*s[49])/594 + 
       (167687*s[50])/99 + (31121*s[51])/1188 - (1795*s[52])/1188 - 
       (151423*s[53])/132 - (4126*s[54])/11 - (3150401*s[55])/396 - 
       (1106731*s[56])/594 - (1834441*s[57])/3564 - (27330661*s[58])/10692 + 
       (27608149*s[59])/10692 + (130966993*s[60])/7128 - 
       (50878847*s[61])/48114 + s[65] + 4*s[66] - 8*s[67] - (2*s[68])/3 - 
       (40*s[69])/3 + 2*s[70] + 4*s[71] - 4*s[72] - 2*s[73] + (4*s[74])/3 - 
       (4*s[75])/3 - (50*s[76])/3 - (2*s[77])/3 + (14*s[78])/3 + 
       (128*s[79])/3 - (226*s[80])/9 + 338*s[82] - 2*s[83] + 20*s[84] + 
       8*s[85])*\[Zeta][3] + HPL[{0, 0, 1, 1}, 1 - w]*
      (2*s[2] - (742*s[3])/3 - (2201*s[4])/2 - (89531*s[5])/66 - 
       (67844*s[6])/33 - (6723421*s[7])/297 + (1357331*s[8])/891 + 
       (1579111*s[9])/81 + (1043905*s[10])/162 + (14578607*s[11])/594 + 
       (15608965*s[12])/594 + (1507901*s[13])/99 + (2235347*s[14])/594 + 
       (282109*s[15])/9 + (2549149*s[16])/66 + (18221497*s[17])/594 + 
       (1173653*s[18])/243 + (749941*s[19])/243 + (127001152*s[20])/2673 + 
       (48160918*s[21])/2673 - (63916189*s[22])/5346 - (5180525*s[23])/198 - 
       (131206675*s[24])/5346 + (1461235235*s[25])/48114 - 
       (852007199*s[26])/48114 - (52*s[29])/3 + 2*s[30] - (80*s[31])/3 - 
       (28*s[32])/3 - (45*s[33])/2 + 42*s[34] - 12*s[35] + (410*s[36])/9 - 
       (773*s[37])/9 - (2504*s[38])/3 + (4935*s[39])/2 - (48859*s[40])/18 + 
       (11609*s[41])/6 - (59231*s[42])/18 - (415145*s[43])/198 + 
       (815413*s[44])/396 - (677389*s[45])/198 + (237425*s[46])/11 - 
       (1102991*s[47])/1188 - (58673*s[48])/1188 + (11161829*s[49])/1188 - 
       (1634440*s[50])/99 - (2588857*s[51])/1188 - (2486587*s[52])/1188 + 
       (376163*s[53])/33 - (4186*s[54])/33 + (10040341*s[55])/132 + 
       (24604243*s[56])/1188 - (16731211*s[57])/891 + 
       (370840535*s[58])/10692 - (373604435*s[59])/10692 - 
       (1265788133*s[60])/7128 + (245338712*s[61])/24057 - 8*s[63] - 
       (20*s[65])/3 - (56*s[66])/3 + 24*s[67] - (40*s[68])/3 + 
       (208*s[69])/3 - 20*s[70] + (20*s[71])/3 + 8*s[72] - (64*s[73])/3 - 
       (14*s[74])/3 + (14*s[75])/3 + (104*s[76])/3 - 16*s[77] + (8*s[78])/3 - 
       (272*s[79])/3 - (898*s[80])/9 + 228*s[82] + 10*s[83] - 36*s[84] + 
       16*s[85])*\[Zeta][3] + HPL[{0, 0, 1, 1}, 1 - u]*
      (-19*s[2] - (179*s[3])/6 - (2183*s[4])/4 - (25837*s[5])/33 - 
       (173051*s[6])/132 - (29458589*s[7])/2376 + (3157805*s[8])/3564 + 
       (1726025*s[9])/162 + (512149*s[10])/162 + (32843951*s[11])/2376 + 
       (9061771*s[12])/594 + (2449841*s[13])/264 + (4171487*s[14])/2376 + 
       (127533*s[15])/8 + (2015899*s[16])/99 + (36206293*s[17])/2376 + 
       (1134223*s[18])/486 + (1833715*s[19])/972 + (264551791*s[20])/10692 + 
       (197721377*s[21])/21384 - (139543381*s[22])/21384 - 
       (144660*s[23])/11 - (74235523*s[24])/5346 + (838613813*s[25])/48114 - 
       (467751605*s[26])/48114 - (28*s[29])/3 + 6*s[30] + (4*s[31])/3 + 
       (2*s[32])/3 + 33*s[33] - 10*s[34] - 4*s[35] - (322*s[36])/9 - 
       (614*s[37])/9 - (2072*s[38])/3 + (3525*s[39])/2 - (31825*s[40])/18 + 
       (6929*s[41])/6 - (39491*s[42])/18 - (328751*s[43])/198 + 
       (524815*s[44])/396 - (207734*s[45])/99 + (912379*s[46])/66 - 
       (805133*s[47])/1188 - (381347*s[48])/1188 + (8241263*s[49])/1188 - 
       (984868*s[50])/99 - (1756927*s[51])/1188 - (1744945*s[52])/1188 + 
       (682285*s[53])/99 - (20114*s[54])/33 + (5959099*s[55])/132 + 
       (14484661*s[56])/1188 - (10807744*s[57])/891 + 
       (235170935*s[58])/10692 - (232520525*s[59])/10692 - 
       (816307277*s[60])/7128 + (577748975*s[61])/96228 - 16*s[63] - 
       (8*s[65])/3 - (32*s[66])/3 + 16*s[67] - (112*s[68])/3 + 
       (172*s[69])/3 - 28*s[70] + (8*s[71])/3 + 8*s[72] + (92*s[73])/3 - 
       (26*s[74])/3 + (26*s[75])/3 + (32*s[76])/3 - 36*s[77] + 
       (116*s[78])/3 + (112*s[79])/3 - (184*s[80])/9 + 228*s[82] + 10*s[83] - 
       36*s[84] + 16*s[85])*\[Zeta][3] + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      ((8*s[2])/3 - (191*s[3])/12 - (237*s[4])/8 - (955*s[5])/66 + 
       (1379*s[6])/88 + (22225*s[7])/4752 + (218231*s[8])/7128 - 
       (2077*s[9])/324 - (28235*s[10])/324 - (78367*s[11])/4752 + 
       (2807*s[12])/594 + (7133*s[13])/1584 - (797983*s[14])/4752 + 
       (5611*s[15])/144 - (58177*s[16])/792 - (529703*s[17])/4752 + 
       (106895*s[18])/1944 - (32687*s[19])/486 - (3238193*s[20])/21384 - 
       (83263*s[21])/42768 + (859145*s[22])/42768 - (540845*s[23])/792 + 
       (2311211*s[24])/10692 + (6978001*s[25])/192456 - 
       (3789623*s[26])/96228 - (11*s[30])/3 + (8*s[34])/3 + (29*s[35])/3 + 
       (163*s[36])/18 - (377*s[37])/36 - (51*s[38])/2 + (2357*s[39])/24 - 
       (5347*s[40])/72 + (373*s[41])/8 - (11075*s[42])/72 - 
       (27257*s[43])/792 + (35947*s[44])/1584 + (30287*s[45])/792 + 
       (585*s[46])/44 - (497561*s[47])/4752 + (831877*s[48])/4752 + 
       (592157*s[49])/4752 + (4931*s[50])/99 - (402097*s[51])/4752 - 
       (379849*s[52])/4752 + (391*s[53])/22 - (1577*s[54])/44 - 
       (409127*s[55])/1584 - (817985*s[56])/4752 - (4591525*s[57])/3564 + 
       (14780951*s[58])/42768 - (19211831*s[59])/42768 + 
       (27667531*s[60])/28512 - (18428717*s[61])/192456 - (8*s[68])/3 + 
       (8*s[69])/3 + (4*s[74])/3 - (4*s[75])/3 + (16*s[76])/3 - (8*s[77])/3 - 
       (16*s[78])/3 + (56*s[79])/3 - (305*s[80])/18 + 164*s[82] + 32*s[85])*
      \[Zeta][3] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      (6*s[2] - (23*s[3])/6 + (89*s[4])/4 + (1317*s[5])/44 + 
       (15161*s[6])/132 + (75485*s[7])/88 - (3826*s[8])/99 - 
       (13069*s[9])/18 - (10189*s[10])/36 - (127111*s[11])/132 - 
       (23113*s[12])/22 - (57587*s[13])/88 - (15487*s[14])/66 - 
       (75349*s[15])/72 - (95941*s[16])/66 - (97021*s[17])/88 - 
       (14911*s[18])/108 - (4310*s[19])/27 - (4281601*s[20])/2376 - 
       (1529137*s[21])/2376 + (272867*s[22])/594 + (29889*s[23])/88 + 
       (2496851*s[24])/2376 - (6362725*s[25])/5346 + (14246827*s[26])/21384 - 
       (4*s[32])/3 + (9*s[33])/2 - 3*s[34] + 2*s[36] - 6*s[37] + 
       (43*s[38])/6 - (59*s[39])/3 + (116*s[40])/3 - (473*s[41])/12 + 
       (14*s[42])/3 + (1741*s[43])/33 - (9323*s[44])/132 + (10529*s[45])/66 - 
       (9138*s[46])/11 - (8849*s[47])/198 + (61469*s[48])/396 - 
       (62575*s[49])/198 + (21544*s[50])/33 + (1024*s[51])/99 + 
       (5881*s[52])/396 - (52859*s[53])/132 - (1778*s[54])/33 - 
       (395045*s[55])/132 - (177197*s[56])/198 - (422639*s[57])/1188 - 
       (954341*s[58])/891 + (846872*s[59])/891 + (2264491*s[60])/297 - 
       (29612911*s[61])/64152 - (8*s[68])/3 + (8*s[69])/3 - 3*s[76] - 
       (8*s[77])/3 + s[80] + 164*s[82] + 32*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*(s[3]/6 - (97*s[4])/6 + 
       (3379*s[5])/44 + (2920*s[6])/33 + (258395*s[7])/264 - 
       (2105*s[8])/297 - (47051*s[9])/54 - (45911*s[10])/108 - 
       (101461*s[11])/99 - (196327*s[12])/198 - (426161*s[13])/792 - 
       (183913*s[14])/396 - (11721*s[15])/8 - (714487*s[16])/396 - 
       (1330895*s[17])/792 - (13406*s[18])/81 - (74497*s[19])/324 - 
       (16771019*s[20])/7128 - (6511715*s[21])/7128 + (1872251*s[22])/3564 + 
       (39445*s[23])/792 + (9167269*s[24])/7128 - (36658873*s[25])/32076 + 
       (48154115*s[26])/64152 - (4*s[32])/3 - (29*s[37])/3 + (15*s[38])/2 - 
       (29*s[39])/3 + 26*s[40] - (109*s[41])/6 - (91*s[42])/3 + 
       (2209*s[43])/33 - (11293*s[44])/132 + (13217*s[45])/66 - 
       (10771*s[46])/11 - (17615*s[47])/198 + (78653*s[48])/396 - 
       (170399*s[49])/396 + (55267*s[50])/66 - (13595*s[51])/396 - 
       (15797*s[52])/396 - (76055*s[53])/132 - (13561*s[54])/66 - 
       (545419*s[55])/132 - (181901*s[56])/198 - (852985*s[57])/594 - 
       (818750*s[58])/891 + (3634415*s[59])/3564 + (2845903*s[60])/297 - 
       (32453767*s[61])/64152 - (8*s[68])/3 + (8*s[69])/3 - (8*s[77])/3 + 
       207*s[82] + 32*s[85])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      ((8*s[2])/3 - (61*s[3])/6 - 39*s[4] + (1803*s[5])/44 + (2261*s[6])/66 + 
       (983405*s[7])/2376 + (29591*s[8])/1782 - (61781*s[9])/162 - 
       (87623*s[10])/324 - (237125*s[11])/594 - (181903*s[12])/594 - 
       (50405*s[13])/396 - (440071*s[14])/1188 - (52291*s[15])/72 - 
       (112687*s[16])/132 - (2263699*s[17])/2376 - (114643*s[18])/1944 - 
       (253631*s[19])/1944 - (3183175*s[20])/2673 - (10038725*s[21])/21384 + 
       (2464655*s[22])/10692 - (196193*s[23])/396 + (14397343*s[24])/21384 - 
       (8362231*s[25])/24057 + (56169875*s[26])/192456 - (8*s[30])/3 + 
       (8*s[34])/3 + (32*s[35])/3 + (56*s[36])/9 - (193*s[37])/18 - 
       (115*s[38])/6 + (224*s[39])/3 - (509*s[40])/9 + (245*s[41])/6 - 
       (2417*s[42])/18 + (377*s[43])/99 - (2525*s[44])/396 + 
       (11452*s[45])/99 - (25679*s[46])/66 - (142757*s[47])/1188 + 
       (115715*s[48])/594 - (186533*s[49])/2376 + (39485*s[50])/99 - 
       (224645*s[51])/2376 - (126559*s[52])/1188 - (114833*s[53])/396 - 
       (21947*s[54])/132 - (24549*s[55])/11 - (1122487*s[56])/2376 - 
       (3469019*s[57])/1782 - (3203*s[58])/21384 + (1915847*s[59])/21384 + 
       (66357545*s[60])/14256 - (25853893*s[61])/96228 - (8*s[68])/3 + 
       (8*s[69])/3 + (4*s[74])/3 - (4*s[75])/3 + (16*s[76])/3 - (8*s[77])/3 - 
       (16*s[78])/3 + (32*s[79])/3 - (112*s[80])/9 + 207*s[82] + 32*s[85])*
      \[Zeta][3] + Omega2[w, u, v]*(6*s[2] + 56*s[3] + (171*s[4])/4 + 
       (2193*s[5])/11 + (13631*s[6])/44 + (1113029*s[7])/396 - 
       (83497*s[8])/1188 - (262397*s[9])/108 - (31873*s[10])/27 - 
       (569785*s[11])/198 - (1069261*s[12])/396 - (190493*s[13])/132 - 
       (258109*s[14])/198 - 4477*s[15] - (696967*s[16])/132 - 
       (2021479*s[17])/396 - (192637*s[18])/324 - (45293*s[19])/81 - 
       (12031285*s[20])/1782 - (2403578*s[21])/891 + (1297420*s[22])/891 + 
       (70931*s[23])/66 + (3124111*s[24])/891 - (204661975*s[25])/64152 + 
       (141277351*s[26])/64152 + 4*s[29] - 3*s[30] - 2*s[31] - s[32] - 
       (9*s[33])/4 + 5*s[34] + s[35] + (16*s[36])/3 - (73*s[37])/3 + 
       9*s[38] + (49*s[39])/4 + (293*s[40])/12 - (189*s[41])/4 - 
       (635*s[42])/12 + (10627*s[43])/132 - (5261*s[44])/66 + 
       (10418*s[45])/33 - (63579*s[46])/44 - (52249*s[47])/396 + 
       (53785*s[48])/198 - (180029*s[49])/396 + (83975*s[50])/66 - 
       (9535*s[51])/198 - (21245*s[52])/396 - (39583*s[53])/44 - 
       (5281*s[54])/22 - (142927*s[55])/22 - (615787*s[56])/396 - 
       (2365481*s[57])/1188 - (5183729*s[58])/3564 + (1469945*s[59])/891 + 
       (32372819*s[60])/2376 - (55482337*s[61])/64152 + s[65] + 2*s[66] - 
       2*s[67] - 8*s[68] + 2*s[70] - 2*s[71] - 2*s[72] + (3*s[74])/2 - 
       (3*s[75])/2 + 2*s[76] - 5*s[77] - 4*s[78] + (28*s[80])/3 + 280*s[82] + 
       48*s[85])*\[Zeta][3] + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      (5*s[2] + s[3] + (663*s[4])/2 + (5693*s[5])/11 + (11306*s[6])/11 + 
       (386033*s[7])/44 - (52376*s[8])/99 - (68677*s[9])/9 - 
       (45265*s[10])/18 - (311167*s[11])/33 - (1312853*s[12])/132 - 
       (776851*s[13])/132 - (283849*s[14])/132 - (48135*s[15])/4 - 
       (983837*s[16])/66 - (402718*s[17])/33 - (95809*s[18])/54 - 
       (59453*s[19])/54 - (5493076*s[20])/297 - (8410129*s[21])/1188 + 
       (5519795*s[22])/1188 + (1089515*s[23])/132 + (11438099*s[24])/1188 - 
       (123188827*s[25])/10692 + (73604659*s[26])/10692 + 4*s[31] - 2*s[32] - 
       8*s[33] - 4*s[34] + 8*s[35] - 15*s[36] + (68*s[37])/3 + 235*s[38] - 
       (3551*s[39])/4 + (4179*s[40])/4 - (3269*s[41])/4 + (4965*s[42])/4 + 
       (44817*s[43])/44 - (81887*s[44])/88 + (96433*s[45])/66 - 
       (1276919*s[46])/132 + (30883*s[47])/264 + (148957*s[48])/264 - 
       (1127353*s[49])/264 + (162561*s[50])/22 + (220057*s[51])/264 + 
       (189869*s[52])/264 - (2089591*s[53])/396 + (19091*s[54])/66 - 
       (9105869*s[55])/264 - (7371193*s[56])/792 + (1158095*s[57])/297 - 
       (99849911*s[58])/7128 + (101482493*s[59])/7128 + 
       (42825553*s[60])/528 - (294569477*s[61])/64152 + s[65] + 2*s[66] - 
       4*s[67] + 4*s[68] - 8*s[69] - 2*s[70] - 3*s[71] + 16*s[73] + 2*s[74] - 
       2*s[75] - 4*s[76] + 10*s[77] - 6*s[78] + 88*s[79] - (14*s[80])/3 + 
       216*s[82] - 6*s[83] + 36*s[84] + 48*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*((-7*s[2])/2 + (353*s[3])/4 + 
       (9741*s[4])/8 + (4941*s[5])/11 + (138195*s[6])/88 + 
       (22940015*s[7])/1584 - (3434009*s[8])/2376 - (649435*s[9])/54 - 
       (327241*s[10])/108 - (26213105*s[11])/1584 - (7612993*s[12])/396 - 
       (6289141*s[13])/528 + (75187*s[14])/1584 - (280937*s[15])/16 - 
       (515885*s[16])/22 - (24602695*s[17])/1584 - (205921*s[18])/81 - 
       (1344373*s[19])/648 - (191505637*s[20])/7128 - 
       (129624635*s[21])/14256 + (108774151*s[22])/14256 + 
       (1373599*s[23])/66 + (55227889*s[24])/3564 - (1414991221*s[25])/
        64152 + (715564897*s[26])/64152 + 2*s[30] - 2*s[31] + 2*s[32] - 
       (17*s[33])/4 + 12*s[34] + 3*s[35] - 26*s[36] + (407*s[37])/3 + 
       755*s[38] - (10899*s[39])/4 + (12299*s[40])/4 - (9269*s[41])/4 + 
       (15427*s[42])/4 + (98389*s[43])/44 - (53629*s[44])/22 + 
       (143833*s[45])/66 - (2407019*s[46])/132 + (34247*s[47])/33 + 
       (14525*s[48])/132 - (332003*s[49])/33 + (150697*s[50])/11 + 
       (348181*s[51])/132 + (304405*s[52])/132 - (1773059*s[53])/198 + 
       (26218*s[54])/33 - (2529163*s[55])/44 - (1567595*s[56])/99 + 
       (29736455*s[57])/1188 - (55297607*s[58])/1782 + 
       (108992035*s[59])/3564 + (19636985*s[60])/132 - 
       (477677687*s[61])/64152 + 4*s[65] + 8*s[66] - 8*s[67] - 4*s[68] - 
       28*s[69] - 2*s[70] - 2*s[72] + 22*s[73] - (5*s[74])/2 + (5*s[75])/2 - 
       8*s[76] + 21*s[77] - 18*s[78] + 308*s[79] - (308*s[80])/3 + 
       280*s[82] - 9*s[83] + 54*s[84] + 48*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*(41*s[2] + 184*s[3] + 
       (4669*s[4])/4 + (40413*s[5])/44 + (54727*s[6])/22 + (659251*s[7])/33 - 
       (906517*s[8])/594 - (451834*s[9])/27 - (575333*s[10])/108 - 
       (8774101*s[11])/396 - (9609821*s[12])/396 - (2936897*s[13])/198 - 
       (1191397*s[14])/396 - (236636*s[15])/9 - (13365427*s[16])/396 - 
       (10272445*s[17])/396 - (293816*s[18])/81 - (253453*s[19])/81 - 
       (71051171*s[20])/1782 - (26143847*s[21])/1782 + 
       (37075667*s[22])/3564 + (8513915*s[23])/396 + (80277425*s[24])/3564 - 
       (901736617*s[25])/32076 + (502489543*s[26])/32076 + 4*s[29] - 
       5*s[30] + 10*s[32] - (67*s[33])/4 + 15*s[34] + 2*s[35] - 
       (10*s[36])/3 + 66*s[37] + 807*s[38] - 2668*s[39] + (9028*s[40])/3 - 
       (4603*s[41])/2 + (21691*s[42])/6 + (7684*s[43])/3 - (30637*s[44])/12 + 
       (6109*s[45])/2 - (132047*s[46])/6 + (24323*s[47])/36 + 
       (32267*s[48])/36 - (408053*s[49])/36 + (99239*s[50])/6 + 
       (87301*s[51])/36 + (76729*s[52])/36 - (203995*s[53])/18 + 
       (2497*s[54])/6 - (296519*s[55])/4 - (713591*s[56])/36 + 
       (1009675*s[57])/54 - (11168089*s[58])/324 + (11269357*s[59])/324 + 
       (39455357*s[60])/216 - (28303693*s[61])/2916 + 8*s[63] + 5*s[65] + 
       8*s[66] - 10*s[67] - 34*s[69] + 2*s[70] - 7*s[71] - 4*s[72] + 
       3*s[74] - 3*s[75] - 12*s[76] + 34*s[77] - 16*s[78] + 164*s[79] - 
       8*s[80] + 280*s[82] - 9*s[83] + 54*s[84] + 48*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((-155*s[2])/6 - (205*s[3])/4 - (11845*s[4])/24 - (77659*s[5])/132 - 
       (95017*s[6])/88 - (47199599*s[7])/4752 + (4174495*s[8])/7128 + 
       (697582*s[9])/81 + (905549*s[10])/324 + (50929573*s[11])/4752 + 
       (26875873*s[12])/2376 + (31695005*s[13])/4752 + (9840031*s[14])/4752 + 
       (5988709*s[15])/432 + (40250503*s[16])/2376 + (7260019*s[17])/528 + 
       (1076197*s[18])/486 + (2169437*s[19])/1944 + (446879009*s[20])/21384 + 
       (350196109*s[21])/42768 - (225045917*s[22])/42768 - 
       (13272031*s[23])/1188 - (28387394*s[24])/2673 + 
       (2510306867*s[25])/192456 - (1517067443*s[26])/192456 - 16*s[29] - 
       3*s[30] - 14*s[31] - (4*s[32])/3 - 14*s[33] + (65*s[34])/3 + 
       15*s[35] + (352*s[36])/9 - (311*s[37])/9 - (1430*s[38])/3 + 
       1656*s[39] - (16597*s[40])/9 + (8713*s[41])/6 - (21329*s[42])/9 - 
       (142823*s[43])/99 + (287473*s[44])/198 - (634013*s[45])/396 + 
       (4900171*s[46])/396 - (161578*s[47])/297 - (53711*s[48])/594 + 
       (1865146*s[49])/297 - (1873351*s[50])/198 - (961579*s[51])/594 - 
       (414935*s[52])/297 + (7755425*s[53])/1188 - (22457*s[54])/99 + 
       (1832505*s[55])/44 + (1108145*s[56])/99 - (5342783*s[57])/396 + 
       (35783443*s[58])/1782 - (72701879*s[59])/3564 - 
       (714492403*s[60])/7128 + (342036749*s[61])/64152 - (11*s[65])/3 - 
       (26*s[66])/3 + 10*s[67] + 10*s[68] + 24*s[69] + (23*s[71])/3 + 
       2*s[72] - (2*s[73])/3 + (19*s[74])/6 - (19*s[75])/6 + (80*s[76])/3 - 
       (23*s[77])/3 - (26*s[78])/3 - (436*s[79])/3 - (196*s[80])/9 + 
       512*s[82] + 2*s[83] - 72*s[84] + 64*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      ((-19*s[2])/6 + (299*s[3])/12 - (6891*s[4])/8 - (9664*s[5])/33 - 
       (265205*s[6])/264 - (41715121*s[7])/4752 + (2428367*s[8])/2376 + 
       (197576*s[9])/27 + (68477*s[10])/54 + (5317435*s[11])/528 + 
       (9428777*s[12])/792 + (35625995*s[13])/4752 - (458851*s[14])/528 + 
       (4441819*s[15])/432 + (32480863*s[16])/2376 + (39696733*s[17])/4752 + 
       (47683*s[18])/27 + (47737*s[19])/72 + (36066739*s[20])/2376 + 
       (76633609*s[21])/14256 - (66093469*s[22])/14256 - 
       (19341283*s[23])/1188 - (14415149*s[24])/1782 + 
       (876330395*s[25])/64152 - (443800943*s[26])/64152 + 4*s[29] - 
       (44*s[30])/3 - 10*s[31] - s[32] - (31*s[33])/4 + (82*s[34])/3 + 
       (89*s[35])/3 + (187*s[36])/3 - (1775*s[37])/18 - (1672*s[38])/3 + 
       (13571*s[39])/6 - (14383*s[40])/6 + (5498*s[41])/3 - 3357*s[42] - 
       (109867*s[43])/66 + (470413*s[44])/264 - (234497*s[45])/198 + 
       (1235530*s[46])/99 - (98947*s[47])/88 + (163135*s[48])/264 + 
       (1934731*s[49])/264 - (100195*s[50])/11 - (1794887*s[51])/792 - 
       (511751*s[52])/264 + (1848257*s[53])/297 - (86414*s[54])/99 + 
       (29550013*s[55])/792 + (24654425*s[56])/2376 - (40910531*s[57])/1782 + 
       (479829613*s[58])/21384 - (478848541*s[59])/21384 - 
       (454314595*s[60])/4752 + (451312439*s[61])/96228 + (4*s[65])/3 + 
       (10*s[66])/3 - 4*s[67] - 16*s[68] + 6*s[69] + 2*s[70] - s[71]/3 - 
       12*s[72] + (10*s[73])/3 + 15*s[74] - 15*s[75] + 26*s[76] - 
       (32*s[77])/3 - 30*s[78] - (452*s[79])/3 + (79*s[80])/9 + 512*s[82] + 
       2*s[83] - 72*s[84] + 64*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      ((59*s[2])/6 + (431*s[3])/12 - (2483*s[4])/8 + (13345*s[5])/66 + 
       (36763*s[6])/264 + (4754975*s[7])/4752 + (74279*s[8])/264 - 
       (17675*s[9])/18 - (3976*s[10])/3 - (1024409*s[11])/1584 + 
       (83189*s[12])/264 + (2554589*s[13])/4752 - (3897131*s[14])/1584 - 
       (1262681*s[15])/432 - (3485743*s[16])/1188 - (22346861*s[17])/4752 - 
       (42595*s[18])/324 - (416281*s[19])/648 - (32847295*s[20])/7128 - 
       (30732421*s[21])/14256 + (819245*s[22])/1584 - (12442619*s[23])/2376 + 
       (5958127*s[24])/2376 + (9162719*s[25])/32076 + 
       (24773455*s[26])/32076 + 4*s[29] - (20*s[30])/3 - 6*s[31] + s[32] - 
       (43*s[33])/4 + (64*s[34])/3 + (71*s[35])/3 + (79*s[36])/3 - 
       (1139*s[37])/18 - (613*s[38])/3 + (4985*s[39])/6 - (4897*s[40])/6 + 
       (1757*s[41])/3 - (5147*s[42])/4 - (27805*s[43])/66 + 
       (15413*s[44])/33 + (9859*s[45])/198 + (203002*s[46])/99 - 
       (40699*s[47])/66 + (7625*s[48])/11 + (222667*s[49])/132 - 
       (24539*s[50])/22 - (358675*s[51])/396 - (27821*s[52])/33 + 
       (802223*s[53])/1188 - (83231*s[54])/99 + (975719*s[55])/396 + 
       (1403617*s[56])/1188 - (43256005*s[57])/3564 + (31333381*s[58])/5346 - 
       (14543666*s[59])/2673 - (25252697*s[60])/2376 + 
       (32241491*s[61])/96228 + s[65]/3 + (4*s[66])/3 - 8*s[68] + 4*s[69] + 
       10*s[70] + (2*s[71])/3 + (10*s[73])/3 + 8*s[74] - 8*s[75] + 16*s[76] - 
       (50*s[77])/3 - 14*s[78] - (68*s[79])/3 - (185*s[80])/9 + 554*s[82] - 
       s[83] - 42*s[84] + 88*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((-31*s[2])/3 - (135*s[3])/2 - (8327*s[4])/12 - (24053*s[5])/66 - 
       (10185*s[6])/11 - (21198799*s[7])/2376 + (1382635*s[8])/1782 + 
       (2426725*s[9])/324 + (352075*s[10])/162 + (23384831*s[11])/2376 + 
       (25781497*s[12])/2376 + (1934939*s[13])/297 + (640855*s[14])/1188 + 
       (2581523*s[15])/216 + (35715373*s[16])/2376 + (997289*s[17])/88 + 
       (418100*s[18])/243 + (1215787*s[19])/972 + (185322553*s[20])/10692 + 
       (66290563*s[21])/10692 - (50030051*s[22])/10692 - 
       (3763381*s[23])/297 - (49839349*s[24])/5346 + (306861502*s[25])/
        24057 - (329438969*s[26])/48114 - 4*s[29] + 6*s[30] - 6*s[31] + 
       (2*s[32])/3 - 12*s[33] + (56*s[34])/3 - 4*s[35] + (202*s[36])/9 - 
       (62*s[37])/9 - (797*s[38])/3 + (4015*s[39])/4 - (40147*s[40])/36 + 
       (10691*s[41])/12 - (13496*s[42])/9 - (309821*s[43])/396 + 
       (82619*s[44])/99 - (285023*s[45])/396 + (639145*s[46])/99 - 
       (115672*s[47])/297 + (154709*s[48])/1188 + (4126393*s[49])/1188 - 
       (980491*s[50])/198 - (302429*s[51])/297 - (1032689*s[52])/1188 + 
       (4004765*s[53])/1188 - (25940*s[54])/99 + (2772389*s[55])/132 + 
       (2242375*s[56])/396 - (11189723*s[57])/1188 + (6537007*s[58])/594 - 
       (2225171*s[59])/198 - (180900221*s[60])/3564 + 
       (84674753*s[61])/32076 - (5*s[65])/3 - (2*s[66])/3 + 2*s[67] + 
       10*s[68] + 4*s[70] + (17*s[71])/3 + (16*s[73])/3 + (14*s[74])/3 - 
       (14*s[75])/3 + (20*s[76])/3 + (4*s[77])/3 - (20*s[78])/3 - 
       (304*s[79])/3 - (40*s[80])/9 + 554*s[82] - s[83] - 42*s[84] + 
       88*s[85])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      (11*s[2] + 190*s[3] + (2189*s[4])/4 + (22453*s[5])/44 + 
       (13990*s[6])/11 + (421805*s[7])/44 - (175135*s[8])/297 - 
       (435595*s[9])/54 - (286219*s[10])/108 - (4121369*s[11])/396 - 
       (2179715*s[12])/198 - (2656637*s[13])/396 - (390337*s[14])/198 - 
       (481249*s[15])/36 - (6511817*s[16])/396 - (5359703*s[17])/396 - 
       (151846*s[18])/81 - (230491*s[19])/162 - (17511149*s[20])/891 - 
       (26818589*s[21])/3564 + (4398877*s[22])/891 + (1002478*s[23])/99 + 
       (9543706*s[24])/891 - (415497245*s[25])/32076 + 
       (244072751*s[26])/32076 + 12*s[29] - 3*s[30] + 10*s[31] + 10*s[32] + 
       (11*s[33])/4 - 5*s[34] + 8*s[35] + 4*s[36] + (77*s[37])/3 + 
       272*s[38] - 950*s[39] + 1092*s[40] - 831*s[41] + 1324*s[42] + 
       (10756*s[43])/11 - (9910*s[44])/11 + (42821*s[45])/33 - 
       (293861*s[46])/33 + (17695*s[47])/66 + (20995*s[48])/66 - 
       (260875*s[49])/66 + (73256*s[50])/11 + (20913*s[51])/22 + 
       (27277*s[52])/33 - (465778*s[53])/99 + (24049*s[54])/33 - 
       (679341*s[55])/22 - (1727719*s[56])/198 + (3765583*s[57])/594 - 
       (24635621*s[58])/1782 + (24667319*s[59])/1782 + (9702245*s[60])/132 - 
       (34188622*s[61])/8019 + 24*s[63] + 2*s[65] + 4*s[66] - 8*s[67] + 
       12*s[68] - 24*s[69] - 8*s[70] - 2*s[71] - 4*s[73] + 4*s[74] - 
       4*s[75] + 2*s[76] + 38*s[77] - 8*s[78] + 96*s[79] - (80*s[80])/3 + 
       472*s[82] - 6*s[83] + 36*s[84] + 96*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*((71*s[2])/2 + (1439*s[3])/4 + 
       (8095*s[4])/8 + (27017*s[5])/22 + (238981*s[6])/88 + 
       (11565707*s[7])/528 - (3253535*s[8])/2376 - (496553*s[9])/27 - 
       (728773*s[10])/108 - (37519379*s[11])/1584 - (9825451*s[12])/396 - 
       (23245517*s[13])/1584 - (8248487*s[14])/1584 - (4426567*s[15])/144 - 
       (15164351*s[16])/396 - (50926061*s[17])/1584 - (351472*s[18])/81 - 
       (2337895*s[19])/648 - (328863811*s[20])/7128 - 
       (251346449*s[21])/14256 + (161001517*s[22])/14256 + 
       (7908301*s[23])/396 + (22386316*s[24])/891 - (1862524429*s[25])/
        64152 + (1107271933*s[26])/64152 + 8*s[29] - 4*s[30] - 4*s[31] - 
       3*s[32] - (103*s[33])/4 + 16*s[34] + s[35] - 47*s[36] - s[37] + 
       571*s[38] - (3953*s[39])/2 + (4455*s[40])/2 - 1710*s[41] + 
       (5297*s[42])/2 + (45767*s[43])/22 - (174001*s[44])/88 + 
       (67931*s[45])/22 - (220600*s[46])/11 + (98621*s[47])/264 + 
       (269561*s[48])/264 - (2428895*s[49])/264 + (167053*s[50])/11 + 
       (458009*s[51])/264 + (409165*s[52])/264 - (1428353*s[53])/132 + 
       (3103*s[54])/11 - (6237771*s[55])/88 - (1671607*s[56])/88 + 
       (423897*s[57])/44 - (23436877*s[58])/792 + (23884453*s[59])/792 + 
       (263991797*s[60])/1584 - (34508869*s[61])/3564 + 8*s[63] - 2*s[67] + 
       2*s[68] + 2*s[69] + 2*s[70] - 4*s[71] + 2*s[72] + 10*s[73] + s[74]/2 - 
       s[75]/2 + 4*s[76] + 17*s[77] + 8*s[78] - 36*s[79] + 42*s[80] + 
       472*s[82] - 6*s[83] + 36*s[84] + 96*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - u]^2*(27*s[2] - (323*s[3])/3 - (2075*s[4])/3 - 
       (155011*s[5])/132 - (90689*s[6])/44 - (19373089*s[7])/1188 + 
       (5020997*s[8])/3564 + (4540057*s[9])/324 + (1182827*s[10])/324 + 
       (21178999*s[11])/1188 + (23197835*s[12])/1188 + (127967*s[13])/11 + 
       (842671*s[14])/297 + (125891*s[15])/6 + (10600087*s[16])/396 + 
       (6085133*s[17])/297 + (4074713*s[18])/972 + (372653*s[19])/486 + 
       (176775449*s[20])/5346 + (145019773*s[21])/10692 - 
       (22864133*s[22])/2673 - (3015797*s[23])/132 - (165522827*s[24])/
        10692 + (4220957237*s[25])/192456 - (2580266129*s[26])/192456 + 
       4*s[30] - (32*s[31])/3 - (50*s[32])/3 - (32*s[33])/3 + (128*s[34])/3 + 
       40*s[35] + (227*s[36])/3 - (2501*s[37])/18 - 612*s[38] + 
       (12139*s[39])/4 - (12391*s[40])/4 + (26653*s[41])/12 - 
       (14110*s[42])/3 - (200455*s[43])/132 + (571463*s[44])/264 - 
       (430993*s[45])/396 + (2741609*s[46])/198 - (612617*s[47])/264 + 
       (551029*s[48])/264 + (645067*s[49])/88 - (314656*s[50])/33 - 
       (2630963*s[51])/792 - (739763*s[52])/264 + (1949669*s[53])/297 - 
       (234962*s[54])/99 + (29564603*s[55])/792 + (28868891*s[56])/2376 - 
       (137537605*s[57])/3564 + (618565729*s[58])/21384 - 
       (587591977*s[59])/21384 - (451267291*s[60])/4752 + 
       (140090471*s[61])/24057 - s[62] + 10*s[65] + 44*s[66] - 60*s[67] - 
       (190*s[68])/3 - 60*s[69] - 12*s[71] - 56*s[72] - 24*s[73] + 43*s[74] - 
       44*s[75] - (188*s[76])/3 - 2*s[77] - 60*s[78] + (56*s[79])/3 + 
       (403*s[80])/9 + 564*s[82] - 24*s[85])*\[Zeta][2]*\[Zeta][3] + 
     HPL[{1}, 1 - w]^2*(19*s[2] - (365*s[3])/3 - (1049*s[4])/3 - 
       (147793*s[5])/132 - (81657*s[6])/44 - (16282219*s[7])/1188 + 
       (3129575*s[8])/3564 + (3865777*s[9])/324 + (1178651*s[10])/324 + 
       (34879331*s[11])/2376 + (18276041*s[12])/1188 + (2385539*s[13])/264 + 
       (9576863*s[14])/2376 + (73967*s[15])/4 + (18259853*s[16])/792 + 
       (45364141*s[17])/2376 + (3602735*s[18])/972 + (301787*s[19])/486 + 
       (157742267*s[20])/5346 + (267355829*s[21])/21384 - 
       (153813859*s[22])/21384 - (4154141*s[23])/264 - 
       (289309585*s[24])/21384 + (831543731*s[25])/48114 - 
       (1096835263*s[26])/96228 + s[27] - 16*s[29] + 8*s[30] - (38*s[31])/3 - 
       (44*s[32])/3 - (25*s[33])/6 + (86*s[34])/3 + 32*s[35] + (88*s[36])/3 - 
       (1157*s[37])/18 - 358*s[38] + 2086*s[39] - (6512*s[40])/3 + 
       (4720*s[41])/3 - (40103*s[42])/12 - (31004*s[43])/33 + 
       (198881*s[44])/132 - (235039*s[45])/396 + (3583441*s[46])/396 - 
       (661685*s[47])/396 + (595087*s[48])/396 + (463349*s[49])/99 - 
       (203237*s[50])/33 - (472267*s[51])/198 - (784369*s[52])/396 + 
       (1243073*s[53])/297 - (198794*s[54])/99 + (9229375*s[55])/396 + 
       (2414956*s[56])/297 - (24830332*s[57])/891 + (52319219*s[58])/2673 - 
       (48720443*s[59])/2673 - (141632437*s[60])/2376 + 
       (189757015*s[61])/48114 + 4*s[63] + s[64] + 8*s[65] + 32*s[66] - 
       48*s[67] - (130*s[68])/3 - 48*s[69] - 2*s[70] - 9*s[71] - 44*s[72] - 
       40*s[73] + 34*s[74] - 34*s[75] - (200*s[76])/3 + 6*s[77] - 18*s[78] + 
       (44*s[79])/3 + (541*s[80])/9 + 564*s[82] - 24*s[85])*\[Zeta][2]*
      \[Zeta][3] + HPL[{1}, 1 - v]^2*(70*s[2] - (109*s[3])/6 + 
       (331*s[4])/12 - (12583*s[5])/33 - (16003*s[6])/44 - 
       (5277077*s[7])/2376 + (1275803*s[8])/3564 + (347123*s[9])/162 - 
       (30377*s[10])/162 + (728635*s[11])/297 + (3690779*s[12])/1188 + 
       (709427*s[13])/396 + (153052*s[14])/297 + (127667*s[15])/72 + 
       (241581*s[16])/88 + (1265699*s[17])/1188 + (344552*s[18])/243 - 
       (1231043*s[19])/972 + (50476777*s[20])/10692 + 
       (28169305*s[21])/10692 - (13101041*s[22])/10692 - 
       (5585753*s[23])/792 - (5691871*s[24])/21384 + (540982043*s[25])/
        192456 - (444353705*s[26])/192456 + 4*s[30] + (16*s[31])/3 - 
       (56*s[32])/3 - (8*s[33])/3 + (2*s[34])/3 + 36*s[35] - (7*s[36])/3 - 
       (1175*s[37])/18 - 118*s[38] + (4777*s[39])/4 - (4645*s[40])/4 + 
       (9379*s[41])/12 - (25861*s[42])/12 + (20891*s[43])/132 + 
       (144593*s[44])/264 + (300335*s[45])/396 - (23684*s[46])/99 - 
       (436981*s[47])/264 + (561533*s[48])/264 - (14029*s[49])/264 + 
       (31241*s[50])/33 - (1345229*s[51])/792 - (121399*s[52])/88 - 
       (1181923*s[53])/1188 - (224420*s[54])/99 - (7878301*s[55])/792 - 
       (490651*s[56])/2376 - (90088915*s[57])/3564 + (143396197*s[58])/
        21384 - (97364383*s[59])/21384 + (88267643*s[60])/4752 - 
       (48793865*s[61])/192456 + 8*s[65] + 32*s[66] - 48*s[67] - 
       (136*s[68])/3 - 28*s[69] - 11*s[71] - 48*s[72] - 72*s[73] + 39*s[74] - 
       39*s[75] - (236*s[76])/3 - 8*s[77] + 4*s[78] + (80*s[79])/3 + 
       (451*s[80])/9 + 800*s[82] + 16*s[85])*\[Zeta][2]*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*(-89*s[2] - (25*s[3])/2 - 
       (3839*s[4])/4 - (11788*s[5])/11 - (61741*s[6])/44 - 
       (15748019*s[7])/792 + (493333*s[8])/396 + (305449*s[9])/18 + 
       (125195*s[10])/18 + (1866989*s[11])/88 + (710572*s[12])/33 + 
       (9732643*s[13])/792 + (305953*s[14])/88 + (2187017*s[15])/72 + 
       (7146277*s[16])/198 + (24898691*s[17])/792 + (15515*s[18])/6 + 
       (184705*s[19])/36 + (5544481*s[20])/132 + (35989889*s[21])/2376 - 
       (25029953*s[22])/2376 - (1443091*s[23])/99 - (14686499*s[24])/594 + 
       (70262296*s[25])/2673 - (78362267*s[26])/5346 - 8*s[29] + 14*s[30] - 
       12*s[31] + 22*s[32] - 19*s[33] + 54*s[34] + 50*s[35] + 160*s[36] + 
       s[37] - 570*s[38] + 2265*s[39] - 2383*s[40] + 2084*s[41] - 
       3156*s[42] - (22563*s[43])/11 + (52087*s[44])/22 - (38351*s[45])/22 + 
       (362999*s[46])/22 - (3451*s[47])/11 - (4826*s[48])/11 + 
       (126689*s[49])/11 - (161099*s[50])/11 - (62147*s[51])/33 - 
       (21573*s[52])/22 + (110085*s[53])/11 + (39744*s[54])/11 + 
       (2018798*s[55])/33 + (112641*s[56])/11 - (31259*s[57])/11 + 
       (460023*s[58])/22 - (270305*s[59])/11 - (19621511*s[60])/132 + 
       (2096099*s[61])/396 + 2*s[64] + 4*s[65] + 12*s[66] - 24*s[67] + 
       20*s[68] - 68*s[69] - 8*s[70] - 8*s[71] - 16*s[72] + 68*s[73] + 
       20*s[74] - 18*s[75] + 16*s[76] + 24*s[77] - 48*s[78] - 138*s[80] - 
       452*s[82] - 24*s[84] + 144*s[85])*\[Zeta][2]*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*(-19*s[2] + (261*s[3])/2 - 
       (4385*s[4])/4 + (5347*s[5])/22 + (9683*s[6])/44 - (1420579*s[7])/264 + 
       (1218971*s[8])/1188 + (111076*s[9])/27 + (19226*s[10])/27 + 
       (5287295*s[11])/792 + (1679503*s[12])/198 + (4222241*s[13])/792 - 
       (3378889*s[14])/792 + (504991*s[15])/72 + (1813469*s[16])/198 + 
       (3504089*s[17])/792 - (67084*s[18])/81 + (909475*s[19])/324 + 
       (23293099*s[20])/3564 - (68971*s[21])/7128 - (20983861*s[22])/7128 - 
       (1018838*s[23])/99 - (12880183*s[24])/1782 + (352865119*s[25])/32076 - 
       (96493783*s[26])/32076 + 36*s[29] - 6*s[30] + 4*s[31] + 12*s[32] - 
       29*s[33] + 50*s[34] + 64*s[35] + (362*s[36])/3 - 68*s[37] - 
       538*s[38] + (5199*s[39])/2 - (15349*s[40])/6 + (4381*s[41])/2 - 
       (23195*s[42])/6 - (113771*s[43])/66 + (301585*s[44])/132 + 
       (1578*s[45])/11 + (594941*s[46])/66 - (442955*s[47])/396 + 
       (387127*s[48])/396 + (4049297*s[49])/396 - (272116*s[50])/33 - 
       (963661*s[51])/396 - (525211*s[52])/396 + (516020*s[53])/99 + 
       (83374*s[54])/33 + (1140877*s[55])/44 + (443459*s[56])/396 - 
       (4365017*s[57])/297 + (46773481*s[58])/3564 - (56768791*s[59])/3564 - 
       (186357323*s[60])/2376 + (11655571*s[61])/32076 + 2*s[64] + 12*s[65] + 
       40*s[66] - 56*s[67] - 32*s[68] - 112*s[69] - 20*s[71] - 48*s[72] + 
       68*s[73] + 38*s[74] - 36*s[75] - 12*s[76] + 8*s[77] - 68*s[78] - 
       120*s[80] - 452*s[82] - 24*s[84] + 144*s[85])*\[Zeta][2]*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*(-42*s[2] + 215*s[3] - 272*s[4] - 
       (6181*s[5])/22 + (11359*s[6])/22 - (1938209*s[7])/396 + 
       (254015*s[8])/594 + (120242*s[9])/27 + (88205*s[10])/54 + 
       (2163569*s[11])/396 + (579310*s[12])/99 + (421049*s[13])/132 - 
       (532789*s[14])/396 + (93409*s[15])/12 + (290275*s[16])/33 + 
       (2645767*s[17])/396 - (1250*s[18])/81 + (338395*s[19])/162 + 
       (16303669*s[20])/1782 + (9973463*s[21])/3564 - (10183441*s[22])/3564 - 
       (315239*s[23])/66 - (11578883*s[24])/1782 + (117815611*s[25])/16038 - 
       (50560483*s[26])/16038 - 4*s[29] + 2*s[30] - 12*s[31] + 14*s[32] - 
       (87*s[33])/2 + 74*s[34] + 54*s[35] + (464*s[36])/3 - (196*s[37])/3 - 
       398*s[38] + (2845*s[39])/2 - (7483*s[40])/6 + (2071*s[41])/2 - 
       (12035*s[42])/6 - (58649*s[43])/66 + (37963*s[44])/33 - 
       (7507*s[45])/33 + (395833*s[46])/66 - (53090*s[47])/99 + 
       (128483*s[48])/198 + (613922*s[49])/99 - (198580*s[50])/33 - 
       (207965*s[51])/198 - (100343*s[52])/198 + (770327*s[53])/198 + 
       (106691*s[54])/33 + (465287*s[55])/22 + (24191*s[56])/33 - 
       (834017*s[57])/198 + (753784*s[58])/99 - (665255*s[59])/66 - 
       (33642149*s[60])/594 + (5029477*s[61])/10692 + 6*s[65] + 16*s[66] - 
       28*s[67] - 16*s[68] - 48*s[69] - 4*s[70] - 12*s[71] - 20*s[72] + 
       64*s[73] + 23*s[74] - 21*s[75] + 12*s[76] - 2*s[77] - 44*s[78] + 
       96*s[79] - (380*s[80])/3 + 160*s[82] + 272*s[85])*\[Zeta][2]*
      \[Zeta][3] + HPL[{0, 1}, 1 - u]*(111*s[2] + (2039*s[3])/6 - 
       (503*s[4])/12 - (60437*s[5])/66 + (17531*s[6])/44 - 
       (15198107*s[7])/2376 + (3801857*s[8])/3564 + (522454*s[9])/81 + 
       (43808*s[10])/81 + (16640453*s[11])/2376 + (2432192*s[12])/297 + 
       (3443065*s[13])/792 - (2373391*s[14])/2376 + (576263*s[15])/72 + 
       (212321*s[16])/22 + (13267159*s[17])/2376 + (496892*s[18])/243 - 
       (745103*s[19])/972 + (136790947*s[20])/10692 + 
       (123836375*s[21])/21384 - (83993875*s[22])/21384 - 
       (3061847*s[23])/198 - (9666491*s[24])/2673 + (839549023*s[25])/96228 - 
       (504699973*s[26])/96228 + 2*s[30] - (8*s[31])/3 + (4*s[32])/3 - 
       (158*s[33])/3 + (326*s[34])/3 + 140*s[35] + (736*s[36])/3 - 
       (2695*s[37])/9 - 550*s[38] + 2915*s[39] - (7205*s[40])/3 + 
       (4750*s[41])/3 - (29179*s[42])/6 + (5281*s[43])/33 + 
       (80035*s[44])/66 + (274441*s[45])/198 + (249047*s[46])/198 - 
       (354980*s[47])/99 + (519949*s[48])/99 + (516169*s[49])/198 - 
       (29390*s[50])/33 - (654613*s[51])/198 - (508769*s[52])/198 - 
       (23026*s[53])/297 + (1984*s[54])/99 - (1970299*s[55])/198 - 
       (1622311*s[56])/594 - (85478111*s[57])/1782 + (76649083*s[58])/5346 - 
       (33641945*s[59])/2673 + (8437655*s[60])/594 - (157529305*s[61])/
        96228 - 32*s[63] - 2*s[64] + 20*s[65] + 80*s[66] - 120*s[67] - 
       (364*s[68])/3 - 92*s[69] - 12*s[70] - 36*s[71] - 104*s[72] - 
       76*s[73] + 94*s[74] - 94*s[75] - (332*s[76])/3 + 8*s[77] - 92*s[78] + 
       (704*s[79])/3 - (1370*s[80])/9 + 948*s[82] + 24*s[84] + 192*s[85] - 
       12*s[86])*\[Zeta][2]*\[Zeta][3] + HPL[{0, 1}, 1 - w]*
      (14*s[2] + (160*s[3])/3 + (781*s[4])/3 - (45817*s[5])/33 - 
       (5721*s[6])/11 - (7307117*s[7])/594 + (482333*s[8])/891 + 
       (930499*s[9])/81 + (382502*s[10])/81 + (14659465*s[11])/1188 + 
       (6792925*s[12])/594 + (248901*s[13])/44 + (5899129*s[14])/1188 + 
       19871*s[15] + (8994841*s[16])/396 + (25575131*s[17])/1188 + 
       (760256*s[18])/243 + (320830*s[19])/243 + (162408665*s[20])/5346 + 
       (139806823*s[21])/10692 - (73186097*s[22])/10692 - 
       (1083347*s[23])/132 - (143108495*s[24])/10692 + 
       (1268834185*s[25])/96228 - (939683917*s[26])/96228 - 28*s[29] + 
       32*s[30] - (56*s[31])/3 + (22*s[32])/3 - (131*s[33])/3 + 
       (272*s[34])/3 + 90*s[35] + (530*s[36])/3 + (176*s[37])/9 - 22*s[38] + 
       1486*s[39] - 1324*s[40] + (3247*s[41])/3 - (17411*s[42])/6 + 
       (1306*s[43])/3 + (10397*s[44])/12 + (10504*s[45])/9 + (464*s[46])/9 - 
       (22483*s[47])/12 + (35549*s[48])/12 + (19643*s[49])/12 - 
       (4679*s[50])/3 - (67151*s[51])/36 - (4149*s[52])/4 + 
       (28547*s[53])/54 + (13631*s[54])/9 - (129175*s[55])/36 - 
       (375355*s[56])/108 - (3305419*s[57])/162 + (4460833*s[58])/972 - 
       (4587355*s[59])/972 + (2056541*s[60])/216 - (10419941*s[61])/8748 - 
       2*s[62] - 40*s[63] - 2*s[64] + 14*s[65] + 52*s[66] - 92*s[67] - 
       (112*s[68])/3 - 112*s[69] - 20*s[70] - 22*s[71] - 76*s[72] - 
       88*s[73] + 73*s[74] - 71*s[75] - (464*s[76])/3 + 82*s[77] - 4*s[78] + 
       (824*s[79])/3 - (1064*s[80])/9 + 948*s[82] + 24*s[84] + 192*s[85] - 
       12*s[86])*\[Zeta][2]*\[Zeta][3] + HPL[{0, 1}, 1 - v]*
      (122*s[2] - (668*s[3])/3 - (2251*s[4])/6 - (3089*s[5])/3 - 
       (1199*s[6])/2 - (520231*s[7])/54 + (170201*s[8])/162 + 
       (1396865*s[9])/162 + (120266*s[10])/81 + (1167497*s[11])/108 + 
       (670481*s[12])/54 + (263069*s[13])/36 + (1751*s[14])/108 + 
       (215851*s[15])/18 + (552547*s[16])/36 + (1088557*s[17])/108 + 
       (1362565*s[18])/486 + (21457*s[19])/243 + (9344191*s[20])/486 + 
       (8004329*s[21])/972 - (5083543*s[22])/972 - (643987*s[23])/36 - 
       (8099197*s[24])/972 + (59783455*s[25])/4374 - (35566435*s[26])/4374 - 
       4*s[28] + 18*s[30] + (76*s[31])/3 - (134*s[32])/3 - (73*s[33])/6 + 
       (50*s[34])/3 + 98*s[35] + 136*s[36] - (1324*s[37])/9 - 798*s[38] + 
       (7599*s[39])/2 - (22325*s[40])/6 + (15911*s[41])/6 - (12093*s[42])/2 - 
       (21457*s[43])/22 + (27389*s[44])/11 + (2624*s[45])/99 + 
       (2006387*s[46])/198 - (658085*s[47])/198 + (368000*s[48])/99 + 
       (1582457*s[49])/198 - (88711*s[50])/11 - (46091*s[51])/11 - 
       (639115*s[52])/198 + (1282703*s[53])/297 - (3551*s[54])/99 + 
       (4082567*s[55])/198 + (2802581*s[56])/594 - (44621710*s[57])/891 + 
       (141847615*s[58])/5346 - (132718483*s[59])/5346 - 
       (26120059*s[60])/396 + (64025045*s[61])/24057 - 2*s[62] + 32*s[63] + 
       14*s[65] + 52*s[66] - 92*s[67] - (196*s[68])/3 - 40*s[69] - 8*s[70] - 
       26*s[71] - 84*s[72] - 136*s[73] + 83*s[74] - 81*s[75] - 
       (440*s[76])/3 - 58*s[77] + 40*s[78] + (896*s[79])/3 - (1472*s[80])/9 + 
       1420*s[82] + 24*s[84] + 272*s[85] + 12*s[86])*\[Zeta][2]*\[Zeta][3] + 
     (-2182*s[2] + (41699*s[3])/15 + (109219*s[4])/10 + (1600406*s[5])/165 + 
       (7214519*s[6])/330 + (248567521*s[7])/1188 - (177460649*s[8])/8910 - 
       (71521571*s[9])/405 - (22943797*s[10])/405 - (1326632099*s[11])/5940 - 
       (363732793*s[12])/1485 - (93024577*s[13])/660 - 
       (233830307*s[14])/5940 - (16710247*s[15])/60 - (34518976*s[16])/99 - 
       (1593441853*s[17])/5940 - (56655001*s[18])/1215 - 
       (52738987*s[19])/2430 - (11752683181*s[20])/26730 - 
       (8514637961*s[21])/53460 + (5809026073*s[22])/53460 + 
       (39855334*s[23])/165 + (596961401*s[24])/2673 - 
       (33819342266*s[25])/120285 + (19407880253*s[26])/120285 + 
       (16*s[27])/5 - (28*s[28])/5 - (136*s[29])/15 - (388*s[30])/5 - 
       (13448*s[31])/15 + (8228*s[32])/15 - (2504*s[33])/5 + (8204*s[34])/5 - 
       (3124*s[35])/5 + (46892*s[36])/45 + (3688*s[37])/45 + 
       (71032*s[38])/15 - (115084*s[39])/5 + (1216192*s[40])/45 - 
       (315068*s[41])/15 + (1622534*s[42])/45 + (7784132*s[43])/495 - 
       (19967347*s[44])/990 + (3185216*s[45])/99 - (36596512*s[46])/165 + 
       (41366267*s[47])/2970 - (2398049*s[48])/594 - (212697113*s[49])/2970 + 
       (85487762*s[50])/495 + (89530231*s[51])/2970 + (14609351*s[52])/594 - 
       (58481153*s[53])/495 + (4062622*s[54])/165 - (85587593*s[55])/110 - 
       (675879931*s[56])/2970 + (845579417*s[57])/4455 - 
       (9596090633*s[58])/26730 + (9027356873*s[59])/26730 + 
       (6363011119*s[60])/3564 - (14114366119*s[61])/120285 - (56*s[62])/5 - 
       (16*s[63])/5 + (16*s[64])/5 + (196*s[65])/15 - (152*s[66])/15 - 
       (56*s[67])/5 + (6128*s[68])/15 - (15824*s[69])/15 + (968*s[70])/5 - 
       (8*s[71])/3 + (1096*s[72])/5 + (36296*s[73])/15 - (4106*s[74])/15 + 
       (3746*s[75])/15 + (24296*s[76])/15 + (2116*s[77])/5 - 
       (27688*s[78])/15 + (9536*s[79])/3 - (79024*s[80])/45 + (8*s[81])/15 + 
       (26232*s[82])/5 - (1832*s[83])/5 + (11424*s[84])/5 + (25888*s[85])/5 - 
       (48*s[86])/5)*\[Zeta][2]^2*\[Zeta][3] + HPL[{1}, 1 - w]*
      (-4*s[2] - 159*s[3] - 248*s[4] - (13615*s[5])/22 - (22837*s[6])/22 - 
       (3769771*s[7])/396 + (29723*s[8])/66 + (24439*s[9])/3 + 
       (20255*s[10])/6 + (1315909*s[11])/132 + (109276*s[12])/11 + 
       (2210501*s[13])/396 + (419635*s[14])/132 + (515989*s[15])/36 + 
       (1700300*s[16])/99 + (6133873*s[17])/396 + (51161*s[18])/27 + 
       (91583*s[19])/54 + (12648545*s[20])/594 + (9927263*s[21])/1188 - 
       (1954111*s[22])/396 - (1384733*s[23])/198 - (2216587*s[24])/198 + 
       (62705215*s[25])/5346 - (40045231*s[26])/5346 - 2*s[27] + 2*s[28] - 
       12*s[29] + 2*s[30] + 14*s[32] - (35*s[33])/2 - 10*s[34] - 4*s[35] - 
       (76*s[36])/3 + (146*s[37])/3 - 164*s[38] + 500*s[39] - 
       (2096*s[40])/3 + 594*s[41] - (1672*s[42])/3 - (26428*s[43])/33 + 
       (54071*s[44])/66 - (61525*s[45])/33 + (332435*s[46])/33 + 
       (74645*s[47])/198 - (217075*s[48])/198 + (775129*s[49])/198 - 
       (275122*s[50])/33 - (49955*s[51])/198 - (46295*s[52])/198 + 
       (590497*s[53])/99 + (18098*s[54])/33 + (908091*s[55])/22 + 
       (676165*s[56])/66 + (423593*s[57])/99 + (2491703*s[58])/198 - 
       (903607*s[59])/66 - (105895741*s[60])/1188 + (28732667*s[61])/5346 - 
       56*s[63] - 4*s[64] - 4*s[65] - 8*s[66] + 8*s[67] + 56*s[68] - 
       8*s[69] + 56*s[70] + 8*s[71] + 8*s[72] - 8*s[73] - 6*s[74] + 6*s[75] - 
       16*s[76] - 76*s[77] + 16*s[78] - 32*s[79] - (92*s[80])/3 - 560*s[82] - 
       96*s[85] - 12*s[86])*\[Zeta][3]^2 + HPL[{1}, 1 - u]*
      (4*s[2] + 74*s[3] + (909*s[4])/2 + (3343*s[5])/22 + (7108*s[6])/11 + 
       (1041281*s[7])/198 - (21529*s[8])/33 - (12595*s[9])/3 - 
       (7031*s[10])/6 - (194668*s[11])/33 - (148109*s[12])/22 - 
       (796315*s[13])/198 + (5405*s[14])/33 - (121025*s[15])/18 - 
       (1769227*s[16])/198 - (636007*s[17])/99 - (28109*s[18])/27 - 
       (19501*s[19])/27 - (2874976*s[20])/297 - (2034625*s[21])/594 + 
       (264709*s[22])/99 + (1669319*s[23])/198 + (1047625*s[24])/198 - 
       (41902843*s[25])/5346 + (21929899*s[26])/5346 - 12*s[29] + 2*s[30] + 
       14*s[32] + (5*s[33])/2 - 14*s[34] + 8*s[35] - 90*s[36] + 26*s[37] + 
       218*s[38] - (1845*s[39])/2 + (1793*s[40])/2 - (1307*s[41])/2 + 
       (2807*s[42])/2 + (12203*s[43])/22 - (26481*s[44])/44 + 
       (3715*s[45])/11 - (91959*s[46])/22 + (88745*s[47])/132 - 
       (85033*s[48])/132 - (330563*s[49])/132 + (31057*s[50])/11 + 
       (128611*s[51])/132 + (109363*s[52])/132 - (137471*s[53])/66 + 
       (2067*s[54])/11 - (1497599*s[55])/132 - (148163*s[56])/44 + 
       (375553*s[57])/33 - (1120775*s[58])/132 + (1130857*s[59])/132 + 
       (22570013*s[60])/792 - (5805295*s[61])/3564 + 2*s[62] - 40*s[63] - 
       4*s[64] - 6*s[65] - 12*s[66] + 16*s[67] + 36*s[68] + 16*s[69] + 
       28*s[70] + 4*s[71] + 16*s[72] - 32*s[73] - 12*s[74] + 12*s[75] - 
       20*s[76] - 44*s[77] + 40*s[78] - 64*s[79] + 44*s[80] - 560*s[82] - 
       96*s[85] - 12*s[86])*\[Zeta][3]^2 + HPL[{1}, 1 - w]^2*
      (4*s[1] - (41*s[2])/2 - (19*s[3])/4 + (1433*s[4])/8 - (4285*s[5])/44 + 
       (12973*s[6])/88 + (69081*s[7])/176 - (500569*s[8])/2376 - 
       (5573*s[9])/54 + (3529*s[10])/27 - (930337*s[11])/1584 - 
       (355757*s[12])/396 - (1174399*s[13])/1584 + (942803*s[14])/1584 - 
       (33647*s[15])/144 - (361073*s[16])/792 + (303641*s[17])/1584 + 
       (63445*s[18])/324 - (139475*s[19])/648 + (1262935*s[20])/7128 + 
       (5735021*s[21])/14256 + (2115755*s[22])/14256 + (969433*s[23])/792 + 
       (4300183*s[24])/7128 - (78274571*s[25])/64152 + 
       (15039833*s[26])/64152 - s[27]/2 - 6*s[29] + s[30] - 7*s[31] + 
       s[32]/2 - (9*s[33])/2 + 9*s[34] + (9*s[36])/2 - (31*s[37])/12 + 
       47*s[38] - (1343*s[39])/8 + (1355*s[40])/8 - (1215*s[41])/8 + 
       (1871*s[42])/8 + (17969*s[43])/88 - (31763*s[44])/176 + 
       (52531*s[45])/264 - (226661*s[46])/132 + (9109*s[47])/528 + 
       (39799*s[48])/528 - (440575*s[49])/528 + (26755*s[50])/22 + 
       (79391*s[51])/528 + (61145*s[52])/528 - (375835*s[53])/396 + 
       (4249*s[54])/33 - (3223655*s[55])/528 - (2548787*s[56])/1584 + 
       (248641*s[57])/594 - (33837367*s[58])/14256 + (36533479*s[59])/14256 + 
       (44553119*s[60])/3168 - (5943163*s[61])/8019 + 2*s[63] - s[64]/2 + 
       s[68] - s[69] - 4*s[79] + (5*s[80])/6)*\[Zeta][5] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*(16*s[2] - (59*s[3])/2 - (281*s[4])/2 + 
       (515*s[5])/4 - (675*s[6])/4 + (1007*s[7])/8 + (559*s[8])/4 - 
       299*s[9] - (721*s[10])/4 + (173*s[11])/8 + 141*s[12] + 
       (4431*s[13])/8 - (4437*s[14])/8 - (11561*s[15])/24 - (669*s[16])/2 - 
       (4821*s[17])/8 - (1015*s[18])/3 + (2443*s[19])/12 - (15643*s[20])/12 - 
       (6009*s[21])/8 + (2381*s[22])/24 + (1715*s[23])/4 - (589*s[24])/12 + 
       (18509*s[25])/36 + (4243*s[26])/36 - 2*s[29] - 3*s[30] + 2*s[31] - 
       s[32] - (3*s[33])/4 - 3*s[34] + s[35] + 3*s[36] + (15*s[37])/2 + 
       2*s[38] + (271*s[39])/2 - (291*s[40])/2 + (373*s[41])/2 - 121*s[42] - 
       (447*s[43])/2 + (1379*s[44])/8 + (479*s[45])/4 + (37*s[46])/4 + 
       (91*s[47])/8 - (1585*s[48])/8 + (6367*s[49])/8 + 26*s[50] - 
       (2431*s[51])/24 - (505*s[52])/8 + (19*s[53])/4 + s[54] - 
       (6627*s[55])/8 - (4891*s[56])/8 - (755*s[57])/4 - (3221*s[58])/24 - 
       (2893*s[59])/24 - (7405*s[60])/16 - (9727*s[61])/24 - s[65] - 
       2*s[67] + 2*s[68] - 2*s[72] + (3*s[74])/2 - (5*s[75])/2 - 2*s[76] + 
       s[77] + s[80])*\[Zeta][5] + HPL[{1}, 1 - u]^2*(-7*s[2] - (37*s[3])/4 - 
       (845*s[4])/8 - (4865*s[5])/44 - (19677*s[6])/88 - 
       (2958737*s[7])/1584 + (322601*s[8])/2376 + (43463*s[9])/27 + 
       (13219*s[10])/27 + (3274265*s[11])/1584 + (879337*s[12])/396 + 
       (720037*s[13])/528 + (355841*s[14])/1584 + (39687*s[15])/16 + 
       (282265*s[16])/88 + (4003135*s[17])/1584 + (32698*s[18])/81 + 
       (160891*s[19])/648 + (26246557*s[20])/7128 + (20231291*s[21])/14256 - 
       (14172343*s[22])/14256 - (616225*s[23])/264 - (13636091*s[24])/7128 + 
       (166942231*s[25])/64152 - (94203997*s[26])/64152 - s[30] - 4*s[31] - 
       (5*s[33])/2 + 8*s[34] + 10*s[35] + (103*s[36])/6 - (37*s[37])/4 - 
       68*s[38] + (2423*s[39])/8 - (7729*s[40])/24 + (1911*s[41])/8 - 
       (11153*s[42])/24 - (54947*s[43])/264 + (121189*s[44])/528 - 
       (14937*s[45])/88 + (207457*s[46])/132 - (249803*s[47])/1584 + 
       (61519*s[48])/1584 + (1583033*s[49])/1584 - (74009*s[50])/66 - 
       (497425*s[51])/1584 - (388207*s[52])/1584 + (311147*s[53])/396 + 
       (271*s[54])/33 + (799941*s[55])/176 + (1959095*s[56])/1584 - 
       (3766931*s[57])/1188 + (40363591*s[58])/14256 - 
       (40411831*s[59])/14256 - (110786777*s[60])/9504 + 
       (19133839*s[61])/32076 + s[62]/2 + 2*s[65] + 4*s[66] - 4*s[67] - 
       4*s[68] - 9*s[69] - 2*s[71] - 4*s[72] + 6*s[73] + (5*s[74])/2 - 
       2*s[75] - s[76] + 2*s[77] - 12*s[78] - 4*s[79] + (23*s[80])/2)*
      \[Zeta][5] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      ((-11*s[2])/2 - (11*s[3])/4 - (1315*s[4])/8 - (3087*s[5])/22 - 
       (33581*s[6])/88 - (6134173*s[7])/1584 + (640303*s[8])/2376 + 
       (91900*s[9])/27 + (124277*s[10])/108 + (6891175*s[11])/1584 + 
       (476423*s[12])/99 + (1484603*s[13])/528 + (1065055*s[14])/1584 + 
       (78179*s[15])/16 + (292245*s[16])/44 + (7792613*s[17])/1584 + 
       (73094*s[18])/81 + (284111*s[19])/648 + (57700661*s[20])/7128 + 
       (43574149*s[21])/14256 - (29959037*s[22])/14256 - (285443*s[23])/66 - 
       (15245591*s[24])/3564 + (340463843*s[25])/64152 - 
       (194897249*s[26])/64152 - 2*s[31] + 2*s[32] + s[33]/4 + 2*s[34] + 
       (47*s[36])/3 - (26*s[37])/3 - 175*s[38] + (1285*s[39])/2 - 
       (4123*s[40])/6 + 520*s[41] - (5495*s[42])/6 - (36437*s[43])/66 + 
       (161567*s[44])/264 - (31711*s[45])/66 + (46401*s[46])/11 - 
       (94807*s[47])/792 - (282379*s[48])/792 + (2161021*s[49])/792 - 
       (108487*s[50])/33 - (383507*s[51])/792 - (304631*s[52])/792 + 
       (271619*s[53])/132 + (5725*s[54])/11 + (3442897*s[55])/264 + 
       (2679707*s[56])/792 - (6448483*s[57])/1188 + (49316617*s[58])/7128 - 
       (49156273*s[59])/7128 - (169771183*s[60])/4752 + 
       (27408277*s[61])/16038 - s[64] - s[65] - 2*s[67] - 2*s[69] - 2*s[72] + 
       2*s[73] + (3*s[74])/2 - (5*s[75])/2 + 2*s[76] + s[77] - 2*s[78] - 
       40*s[79] + (32*s[80])/3 - 390*s[82] - 12*s[84] - 24*s[85])*
      \[Zeta][5] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      ((33*s[2])/2 - (159*s[3])/4 - (2833*s[4])/8 + (3877*s[5])/22 - 
       (39427*s[6])/88 - (3803221*s[7])/1584 + (1460981*s[8])/2376 + 
       (178061*s[9])/108 + (43573*s[10])/108 + (4713575*s[11])/1584 + 
       (757487*s[12])/198 + (4102405*s[13])/1584 - (1079917*s[14])/1584 + 
       (335303*s[15])/144 + (1531741*s[16])/396 + (309741*s[17])/176 + 
       (72019*s[18])/324 + (266683*s[19])/648 + (23892523*s[20])/7128 + 
       (11154485*s[21])/14256 - (16964929*s[22])/14256 - (835861*s[23])/198 - 
       (9368725*s[24])/3564 + (70486465*s[25])/16038 - 
       (15091355*s[26])/8019 + 10*s[29] - 5*s[30] + 12*s[31] + 10*s[33] - 
       19*s[34] + 6*s[35] - (7*s[36])/3 + (35*s[37])/3 - 151*s[38] + 
       (3321*s[39])/4 - (10499*s[40])/12 + (2799*s[41])/4 - 
       (15481*s[42])/12 - (90709*s[43])/132 + (197717*s[44])/264 - 
       (7343*s[45])/66 + (507377*s[46])/132 - (185059*s[47])/792 - 
       (338773*s[48])/792 + (2636113*s[49])/792 - (98545*s[50])/33 - 
       (558857*s[51])/792 - (377243*s[52])/792 + (188626*s[53])/99 + 
       (6797*s[54])/33 + (2734403*s[55])/264 + (670057*s[56])/264 - 
       (750814*s[57])/99 + (5229221*s[58])/792 - (601427*s[59])/88 - 
       (150634399*s[60])/4752 + (26285477*s[61])/21384 - s[64] + 2*s[65] + 
       8*s[66] - 12*s[67] - 8*s[68] - 20*s[69] - 4*s[71] - 12*s[72] + 
       2*s[73] + 8*s[74] - 9*s[75] - 14*s[76] + 6*s[77] - 2*s[78] - 
       40*s[79] + (118*s[80])/3 - 390*s[82] - 12*s[84] - 24*s[85])*
      \[Zeta][5] + HPL[{0, 1}, 1 - v]*((59*s[2])/2 + (2609*s[3])/4 + 
       (19263*s[4])/8 + (20739*s[5])/22 + (297717*s[6])/88 + 
       (44978339*s[7])/1584 - (705707*s[8])/264 - (91539*s[9])/4 - 
       (76465*s[10])/12 - (17131655*s[11])/528 - (819029*s[12])/22 - 
       (36840763*s[13])/1584 + (101725*s[14])/528 - (5101985*s[15])/144 - 
       (18696529*s[16])/396 - (52068683*s[17])/1584 - (533299*s[18])/108 - 
       (1079947*s[19])/216 - (124006789*s[20])/2376 - (84991873*s[21])/4752 + 
       (23039059*s[22])/1584 + (7934695*s[23])/198 + (4129187*s[24])/132 - 
       (231400571*s[25])/5346 + (235051669*s[26])/10692 + 2*s[28] - 4*s[29] + 
       3*s[30] + 2*s[31] + 60*s[32] + s[33] - 7*s[34] + 12*s[35] - 
       (268*s[36])/3 + (1159*s[37])/6 + 1395*s[38] - 4716*s[39] + 
       (15322*s[40])/3 - (7059*s[41])/2 + (39781*s[42])/6 + 
       (128978*s[43])/33 - (264619*s[44])/66 + (568385*s[45])/132 - 
       (4320247*s[46])/132 + (181426*s[47])/99 + (45763*s[48])/99 - 
       (1768138*s[49])/99 + (790862*s[50])/33 + (851215*s[51])/198 + 
       (768403*s[52])/198 - (1595762*s[53])/99 + (21773*s[54])/33 - 
       (6789421*s[55])/66 - (1903069*s[56])/66 + (1437074*s[57])/33 - 
       (65881259*s[58])/1188 + (16223630*s[59])/297 + 
       (627587065*s[60])/2376 - (307193021*s[61])/21384 + s[62] - 20*s[63] - 
       4*s[65] - 8*s[66] + 8*s[67] + 72*s[68] - 18*s[69] + 60*s[70] + 
       4*s[71] + 8*s[72] - 22*s[73] - 5*s[74] + 4*s[75] - 8*s[76] + 
       36*s[77] + 26*s[78] + 40*s[79] - (65*s[80])/3 + 390*s[82] + 12*s[84] + 
       24*s[85] - 6*s[86])*\[Zeta][5] + HPL[{0, 1}, 1 - w]*
      ((51*s[2])/2 - (2455*s[3])/4 - (12905*s[4])/8 - (2697*s[5])/4 - 
       (18471*s[6])/8 - (859009*s[7])/48 + (11911*s[8])/8 + (28815*s[9])/2 + 
       (7799*s[10])/2 + (327953*s[11])/16 + (93357*s[12])/4 + 
       (710753*s[13])/48 - (1071*s[14])/16 + (359207*s[15])/16 + 
       (350009*s[16])/12 + (977761*s[17])/48 + (59879*s[18])/18 + 
       (229231*s[19])/72 + (2367167*s[20])/72 + (1662455*s[21])/144 - 
       (144307*s[22])/16 - (150761*s[23])/6 - (236179*s[24])/12 + 
       (17754001*s[25])/648 - (9195631*s[26])/648 - 4*s[29] + s[30] + 
       4*s[31] - 66*s[32] - s[33]/2 - 9*s[34] + 12*s[35] + (41*s[36])/3 - 
       (377*s[37])/3 - 1003*s[38] + (12207*s[39])/4 - (39449*s[40])/12 + 
       (9529*s[41])/4 - (45715*s[42])/12 - (34337*s[43])/12 + 
       (63367*s[44])/24 - (17339*s[45])/6 + (83347*s[46])/4 - 
       (77453*s[47])/72 - (29543*s[48])/72 + (854951*s[49])/72 - 
       (43985*s[50])/3 - (194947*s[51])/72 - (188605*s[52])/72 + 
       (60391*s[53])/6 - 1417*s[54] + (518675*s[55])/8 + (1252549*s[56])/72 - 
       (657431*s[57])/27 + (22403039*s[58])/648 - (22307909*s[59])/648 - 
       (72742817*s[60])/432 + (50095163*s[61])/5832 + s[62] + 16*s[63] + 
       s[64] - 4*s[65] - 8*s[66] + 8*s[67] - 50*s[68] + 56*s[69] - 60*s[70] + 
       4*s[71] + 8*s[72] - 14*s[73] - 5*s[74] + 4*s[75] - 44*s[77] + 
       26*s[78] + 48*s[79] - (70*s[80])/3 + 390*s[82] + 12*s[84] + 24*s[85] + 
       6*s[86])*\[Zeta][5] + HPL[{0, 1}, 1 - u]*((35*s[2])/2 - 
       (2585*s[3])/4 - (14915*s[4])/8 - (30651*s[5])/44 - (226659*s[6])/88 - 
       (31867427*s[7])/1584 + (4527229*s[8])/2376 + (868523*s[9])/54 + 
       (113024*s[10])/27 + (36510013*s[11])/1584 + (10501739*s[12])/396 + 
       (26398895*s[13])/1584 - (715235*s[14])/1584 + (3626485*s[15])/144 + 
       (6524545*s[16])/198 + (4014839*s[17])/176 + (290975*s[18])/81 + 
       (2293541*s[19])/648 + (260603087*s[20])/7128 + 
       (179456755*s[21])/14256 - (144629687*s[22])/14256 - 
       (11691709*s[23])/396 - (19588394*s[24])/891 + (1991540255*s[25])/
        64152 - (1016370581*s[26])/64152 + 2*s[29] - 3*s[30] + 12*s[31] - 
       64*s[32] + 5*s[33] - 15*s[34] + (130*s[36])/3 - (875*s[37])/6 - 
       1135*s[38] + 3649*s[39] - (11779*s[40])/3 + (5723*s[41])/2 - 
       (28387*s[42])/6 - (108641*s[43])/33 + (204913*s[44])/66 - 
       (432787*s[45])/132 + (1074339*s[46])/44 - (135217*s[47])/99 - 
       (33907*s[48])/99 + (1379866*s[49])/99 - (576608*s[50])/33 - 
       (656707*s[51])/198 - (612385*s[52])/198 + (398968*s[53])/33 - 
       (17909*s[54])/11 + (2530648*s[55])/33 + (4091773*s[56])/198 - 
       (17633569*s[57])/594 + (144918013*s[58])/3564 - 
       (72645095*s[59])/1782 - (468320599*s[60])/2376 + 
       (650806853*s[61])/64152 + 20*s[63] + s[64] - 58*s[68] + 38*s[69] - 
       60*s[70] + 2*s[73] - 40*s[77] + 2*s[78] + 40*s[79] - (29*s[80])/3 + 
       390*s[82] + 12*s[84] + 24*s[85] + 6*s[86])*\[Zeta][5] + 
     (1197*s[2] - (3379*s[3])/2 - (117363*s[4])/4 - (48671*s[5])/2 - 
       (224657*s[6])/4 - (38100983*s[7])/72 + (1638901*s[8])/36 + 
       (8066657*s[9])/18 + (1307261*s[10])/9 + (4594881*s[11])/8 + 
       (3737207*s[12])/6 + (26568883*s[13])/72 + (636717*s[14])/8 + 
       (51295039*s[15])/72 + (16146073*s[16])/18 + (50408855*s[17])/72 + 
       (602989*s[18])/6 + (2663291*s[19])/36 + (12911581*s[20])/12 + 
       (84607409*s[21])/216 - (60142613*s[22])/216 - (5293150*s[23])/9 - 
       (31367213*s[24])/54 + (352490321*s[25])/486 - (98512399*s[26])/243 + 
       8*s[27] + 2*s[28] + 4*s[29] + 248*s[30] + 636*s[31] - 314*s[32] + 
       (429*s[33])/2 - 848*s[34] + 896*s[35] + (2650*s[36])/3 - 
       (3884*s[37])/3 - 15398*s[38] + (131437*s[39])/2 - (444323*s[40])/6 + 
       (117659*s[41])/2 - (583549*s[42])/6 - (343403*s[43])/6 + 
       (740857*s[44])/12 - (232435*s[45])/3 + (3481855*s[46])/6 - 
       (839915*s[47])/36 - (269321*s[48])/36 + (9460409*s[49])/36 - 
       (1360930*s[50])/3 - (2466757*s[51])/36 - (1978147*s[52])/36 + 
       (2844895*s[53])/9 - (35506*s[54])/3 + (24256883*s[55])/12 + 
       (6453433*s[56])/12 - (1320943*s[57])/3 + (96667591*s[58])/108 - 
       (96888709*s[59])/108 - (1033468943*s[60])/216 + 
       (259034483*s[61])/972 - 12*s[62] + 16*s[63] + 32*s[64] + 8*s[65] + 
       32*s[66] + 48*s[67] - 304*s[68] + 648*s[69] - 176*s[70] - 8*s[71] - 
       352*s[72] - 1804*s[73] + 388*s[74] - 232*s[75] - 1104*s[76] - 
       224*s[77] + 1228*s[78] - 6080*s[79] + (4364*s[80])/3 - (2*s[81])/3 - 
       13260*s[82] + 1032*s[83] - 4104*s[84] - 6288*s[85])*\[Zeta][2]*
      \[Zeta][5] + (32*s[1] - 459*s[2] - (5865*s[3])/2 + 64*s[4] - 
       (523777*s[5])/44 - (583315*s[6])/44 - (100330199*s[7])/792 + 
       (631187*s[8])/132 + (216939*s[9])/2 + (614363*s[10])/12 + 
       (32484833*s[11])/264 + (4805785*s[12])/44 + (42125143*s[13])/792 + 
       (15167333*s[14])/264 + (15364793*s[15])/72 + (93183983*s[16])/396 + 
       (192944177*s[17])/792 + (752021*s[18])/27 + (2736697*s[19])/108 + 
       (357831409*s[20])/1188 + (292078789*s[21])/2376 - 
       (49712401*s[22])/792 - (19964029*s[23])/396 - (19842289*s[24])/132 + 
       (724051777*s[25])/5346 - (259230548*s[26])/2673 - 8*s[27] - s[28] - 
       16*s[29] + 3*s[30] - 36*s[31] - 223*s[32] + (1115*s[33])/4 - 
       163*s[34] + 510*s[35] + (422*s[36])/3 + (1121*s[37])/3 + 442*s[38] + 
       151*s[39] - (347*s[40])/3 + 428*s[41] + (7007*s[42])/3 - 
       (219427*s[43])/33 + (250765*s[44])/132 - (1984271*s[45])/66 + 
       (8607055*s[46])/66 + (1546153*s[47])/396 - (2109059*s[48])/396 + 
       (11016125*s[49])/396 - (3595678*s[50])/33 + (843749*s[51])/396 + 
       (917615*s[52])/396 + (9021913*s[53])/99 + (292814*s[54])/33 + 
       (80267993*s[55])/132 + (17677889*s[56])/132 + (44296969*s[57])/198 + 
       (46122815*s[58])/396 - (55847989*s[59])/396 - (2685765509*s[60])/
        2376 + (867688519*s[61])/10692 + 18*s[62] + 64*s[63] - 34*s[64] - 
       8*s[65] + 56*s[66] + 52*s[67] - 16*s[68] - 60*s[69] - 392*s[70] + 
       8*s[71] + 52*s[72] - 612*s[73] - 151*s[74] + 11*s[75] + 382*s[77] - 
       188*s[78] + 3680*s[79] - (3494*s[80])/3 + s[81]/3 - 11844*s[82] - 
       420*s[83] + 1344*s[84] - 3360*s[85] + 6*s[86])*\[Zeta][7]
 
SuvwCoproductEntries[yw] = D1[v, u, w]*s[1] - 4*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - w]*s[1] + 
     16*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1}, 1 - v]*s[1] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u]*(-4*s[1] + 12*s[2]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u]*(-12*s[1] + 52*s[2]) + 
     HPL[{0, 0, 0, 0, 0, 0, 1}, 1 - u]*(-32*s[1] + 128*s[2]) + 
     D9[v, u, w]*s[23] - (5*HPL[{1}, 1 - u]^4*HPL[{0, 1, 1}, 1 - u]*s[37])/
      6 - 4*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1, 1}, 1 - u]*s[37] + 
     4*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - u]*s[37] + 
     D15[w, u, v]*s[39] + D8[u, v, w]*s[41] + D17[u, v, w]*s[42] + 
     D13[w, u, v]*s[43] + D14[w, u, v]*s[44] + D8[w, u, v]*s[49] + 
     D8[u, w, v]*s[50] + D7[u, w, v]*(s[15] - s[55]) + 
     B1[v, w, u]*HPL[{1}, 1 - u]*(s[15] - s[55]) + 
     D12[w, u, v]*(-s[15] + s[47] + s[51] - s[55]) + 
     D12[v, u, w]*(-s[15] - s[17] + s[20] + s[47] + s[51] - s[55]) + 
     D7[w, u, v]*s[55] + D4[v, u, w]*(s[11] + s[19] - 2*s[56]) + 
     D7[u, v, w]*(-s[14] - s[55] - 2*s[56]) - 2*D24[u, v, w]*s[56] + 
     2*D3[v, w, u]*s[56] + 2*D5[u, w, v]*s[56] + 
     2*B1[v, w, u]*HPL[{1}, 1 - v]*s[56] + 2*B1[w, v, u]*HPL[{1}, 1 - v]*
      s[56] - 8*B11[u, v, w]*HPL[{1}, 1 - v]*s[56] + 
     2*B2[u, v, w]*HPL[{1}, 1 - v]*s[56] + 2*B2[u, w, v]*HPL[{1}, 1 - v]*
      s[56] - 8*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - v]*
      s[56] + D3[w, v, u]*(s[2] + 2*s[56]) + D5[u, v, w]*(s[2] + 2*s[56]) - 
     2*D9[v, w, u]*s[60] - 2*B4[w, u, v]*HPL[{1}, 1 - u]*s[60] + 
     D12[u, v, w]*(s[51] + 2*s[60]) + HPL[{1}, 1 - u]^2*Qep[w, v, u]*
      ((-884*s[4])/9 + (6392*s[5])/33 + (2482*s[6])/33 + (482758*s[7])/297 - 
       (53314*s[8])/891 - (117854*s[9])/81 - (62956*s[10])/81 - 
       (423527*s[11])/297 - (305359*s[12])/297 - (152710*s[13])/297 - 
       (286970*s[14])/297 - (97214*s[15])/27 - (969982*s[16])/297 - 
       (131327*s[17])/33 - (9358*s[18])/243 - (145274*s[19])/243 - 
       (10748576*s[20])/2673 - (4372118*s[21])/2673 + (2170804*s[22])/2673 - 
       (64705*s[23])/297 + (6145615*s[24])/2673 - (37459289*s[25])/24057 + 
       (28955657*s[26])/24057 + (256*s[37])/9 + (296*s[39])/9 - 
       (296*s[40])/9 + (980*s[41])/9 + (76*s[42])/9 + (17816*s[43])/99 - 
       (1246*s[44])/33 + (35096*s[45])/99 - (53728*s[46])/33 - 
       (46886*s[47])/297 + (82474*s[48])/297 - (211474*s[49])/297 + 
       (144752*s[50])/99 - (14518*s[51])/99 - (60550*s[52])/297 - 
       (443780*s[53])/297 - (8000*s[54])/33 - (2952662*s[55])/297 - 
       (171950*s[56])/99 - (637576*s[57])/99 - (355922*s[58])/891 + 
       (1633574*s[59])/891 + (14951969*s[60])/891 - (6302686*s[61])/8019) + 
     HPL[{1}, 1 - u]^2*Qep[u, w, v]*((-796*s[4])/9 + (2032*s[5])/11 + 
       (1510*s[6])/33 + (466094*s[7])/297 - (62606*s[8])/891 - 
       (113986*s[9])/81 - (61172*s[10])/81 - (405085*s[11])/297 - 
       (292169*s[12])/297 - (131510*s[13])/297 - (259978*s[14])/297 - 
       (94966*s[15])/27 - (945938*s[16])/297 - (127013*s[17])/33 - 
       (16058*s[18])/243 - (135598*s[19])/243 - (10479112*s[20])/2673 - 
       (4325734*s[21])/2673 + (2099984*s[22])/2673 - (7871*s[23])/297 + 
       (5786369*s[24])/2673 - (35374579*s[25])/24057 + 
       (28184947*s[26])/24057 + (128*s[37])/3 + (232*s[39])/9 - 
       (232*s[40])/9 + (892*s[41])/9 + (236*s[42])/9 + (15832*s[43])/99 - 
       (310*s[44])/11 + (34024*s[45])/99 - (51664*s[46])/33 - 
       (43546*s[47])/297 + (69446*s[48])/297 - (195974*s[49])/297 + 
       (142192*s[50])/99 - (13394*s[51])/99 - (56090*s[52])/297 - 
       (433612*s[53])/297 - (8960*s[54])/33 - (2878498*s[55])/297 - 
       (165898*s[56])/99 - (606880*s[57])/99 - (372670*s[58])/891 + 
       (1638202*s[59])/891 + (14287843*s[60])/891 - (6080546*s[61])/8019) + 
     D26[v, u, w]*(8*s[3] + (43*s[4])/2 + (191*s[5])/11 + (1101*s[6])/22 + 
       (3650*s[7])/11 - (2570*s[8])/99 - (2473*s[9])/9 - (713*s[10])/9 - 
       (24173*s[11])/66 - (26467*s[12])/66 - (8158*s[13])/33 - 
       (1792*s[14])/33 - (1300*s[15])/3 - (36551*s[16])/66 - 
       (28277*s[17])/66 - (4027*s[18])/54 - (1871*s[19])/54 - 
       (389309*s[20])/594 - (151973*s[21])/594 + (100069*s[22])/594 + 
       (13757*s[23])/33 + (206599*s[24])/594 - (1237330*s[25])/2673 + 
       (721801*s[26])/2673 + s[32] + 2*s[37] + 13*s[38] - (95*s[39])/2 + 
       (101*s[40])/2 - (79*s[41])/2 + (135*s[42])/2 + (939*s[43])/22 - 
       (1797*s[44])/44 + (1061*s[45])/22 - (4064*s[46])/11 + 
       (2395*s[47])/132 + (217*s[48])/132 - (23509*s[49])/132 + 
       (2875*s[50])/11 + (1943*s[51])/44 + (5435*s[52])/132 - 
       (6239*s[53])/33 + (439*s[54])/11 - (53399*s[55])/44 - 
       (15437*s[56])/44 + (26239*s[57])/66 - (79999*s[58])/132 + 
       (80027*s[59])/132 + (2303569*s[60])/792 - (149207*s[61])/891) + 
     D26[w, u, v]*(3*s[2] + (27*s[4])/2 + (202*s[5])/11 + (837*s[6])/22 + 
       (21097*s[7])/66 - (2845*s[8])/99 - (2435*s[9])/9 - (688*s[10])/9 - 
       (11531*s[11])/33 - (25301*s[12])/66 - (5017*s[13])/22 - 
       (2935*s[14])/66 - (2533*s[15])/6 - (11663*s[16])/22 - 
       (13264*s[17])/33 - (1834*s[18])/27 - (1675*s[19])/54 - 
       (380245*s[20])/594 - (73748*s[21])/297 + (49435*s[22])/297 + 
       (8889*s[23])/22 + (199493*s[24])/594 - (1174388*s[25])/2673 + 
       (686381*s[26])/2673 + 2*s[37] + 12*s[38] - (91*s[39])/2 + 
       (95*s[40])/2 - (73*s[41])/2 + (129*s[42])/2 + (873*s[43])/22 - 
       (1687*s[44])/44 + (1039*s[45])/22 - (3910*s[46])/11 + (747*s[47])/44 - 
       (23*s[48])/44 - (7301*s[49])/44 + (2787*s[50])/11 + (1789*s[51])/44 + 
       (1731*s[52])/44 - (2043*s[53])/11 + (439*s[54])/11 - 
       (157535*s[55])/132 - (15151*s[56])/44 + (24545*s[57])/66 - 
       (230471*s[58])/396 + (231875*s[59])/396 + (734497*s[60])/264 - 
       (294487*s[61])/1782) + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1}, 1 - u]*
      (6*s[2] + 24*s[3] + 69*s[4] - (907*s[5])/22 + (1615*s[6])/22 - 
       (10457*s[7])/132 - (7048*s[8])/99 + (3131*s[9])/18 + (3331*s[10])/18 + 
       (10441*s[11])/132 - (1175*s[12])/66 - (13243*s[13])/132 + 
       (28603*s[14])/132 + (3241*s[15])/12 + (14131*s[16])/66 + 
       (14643*s[17])/44 + (1448*s[18])/27 + (2104*s[19])/27 + 
       (330203*s[20])/594 + (376441*s[21])/1188 - (93563*s[22])/1188 + 
       (37933*s[23])/66 - (66371*s[24])/297 - (1278383*s[25])/10692 - 
       (815773*s[26])/10692 + 3*s[32] + 22*s[37] - 36*s[38] + 13*s[39] - 
       5*s[40] + 18*s[41] + 14*s[42] - (477*s[43])/11 + (367*s[44])/22 + 
       (193*s[45])/11 + (252*s[46])/11 + (2357*s[47])/66 - (6553*s[48])/66 + 
       (20077*s[49])/66 - (1625*s[50])/11 - (703*s[51])/66 + 
       (1495*s[52])/66 - (392*s[53])/33 + (3709*s[54])/11 - (4319*s[55])/66 - 
       (8675*s[56])/22 + (40703*s[57])/66 - (45497*s[58])/198 + 
       (27395*s[59])/198 - (681421*s[60])/396 - (9517*s[61])/66) + 
     HPL[{1}, 1 - w]^2*Qep[v, w, u]*((88*s[4])/3 + (464*s[5])/33 + 
       (4744*s[6])/33 + (32260*s[7])/99 + (6184*s[8])/297 - (6160*s[9])/27 - 
       (1472*s[10])/27 - (41092*s[11])/99 - (42584*s[12])/99 - 
       (15260*s[13])/33 - (21004*s[14])/99 - (4076*s[15])/9 - 
       (18544*s[16])/33 - (48476*s[17])/99 + (7648*s[18])/81 - 
       (14440*s[19])/81 - (440728*s[20])/891 - (141748*s[21])/891 + 
       (138980*s[22])/891 - (14968*s[23])/33 + (593672*s[24])/891 - 
       (4556632*s[25])/8019 + (2138440*s[26])/8019 - (128*s[37])/9 + 
       (128*s[38])/3 - (88*s[39])/3 + (88*s[40])/3 - (88*s[41])/3 + 
       (8*s[42])/3 + (3752*s[43])/33 - (1036*s[44])/11 + (632*s[45])/11 - 
       (13648*s[46])/33 - (1756*s[47])/33 + (7484*s[48])/33 - 
       (11980*s[49])/33 + (8032*s[50])/33 + (3700*s[51])/99 + 
       (332*s[52])/11 - (1248*s[53])/11 + (3712*s[54])/33 - 
       (116452*s[55])/99 - (16660*s[56])/33 - (61808*s[57])/99 - 
       (121268*s[58])/297 + (115652*s[59])/297 + (452926*s[60])/99 - 
       (38744*s[61])/297) + B6[v, u, w]*HPL[{1}, 1 - v]*
      ((3*s[2])/2 + 11*s[4] + (503*s[5])/44 + (1057*s[6])/44 + 
       (18131*s[7])/88 - (221*s[8])/11 - (691*s[9])/4 - (201*s[10])/4 - 
       (19529*s[11])/88 - (2641*s[12])/11 - (12399*s[13])/88 - 
       (2305*s[14])/88 - (6809*s[15])/24 - (15205*s[16])/44 - 
       (23717*s[17])/88 - (171*s[18])/4 - 23*s[19] - (4528*s[20])/11 - 
       (41869*s[21])/264 + (9353*s[22])/88 + (11683*s[23])/44 + 
       (28783*s[24])/132 - (222295*s[25])/792 + (129787*s[26])/792 + s[37] + 
       7*s[38] - 27*s[39] + 28*s[40] - (45*s[41])/2 + (77*s[42])/2 + 
       (265*s[43])/11 - (248*s[44])/11 + (345*s[45])/11 - (2516*s[46])/11 + 
       (195*s[47])/22 - (25*s[48])/22 - (2191*s[49])/22 + (3667*s[50])/22 + 
       (258*s[51])/11 + (248*s[52])/11 - (1390*s[53])/11 + (615*s[54])/22 - 
       (17879*s[55])/22 - (4973*s[56])/22 + (22741*s[57])/132 - 
       (35303*s[58])/99 + (72937*s[59])/198 + (238429*s[60])/132 - 
       (386117*s[61])/3564) + B6[w, u, v]*HPL[{1}, 1 - v]*
      (4*s[3] + (21*s[4])/2 + (613*s[5])/44 + (1321*s[6])/44 + 
       (18461*s[7])/88 - (1007*s[8])/66 - (2129*s[9])/12 - (655*s[10])/12 - 
       (19727*s[11])/88 - (5205*s[12])/22 - (12421*s[13])/88 - 
       (4439*s[14])/88 - (7015*s[15])/24 - (15711*s[16])/44 - 
       (26335*s[17])/88 - (863*s[18])/18 - (188*s[19])/9 - (42908*s[20])/99 - 
       (138961*s[21])/792 + (84551*s[22])/792 + (5297*s[23])/22 + 
       (87229*s[24])/396 - (1959427*s[25])/7128 + (1220311*s[26])/7128 + 
       s[32]/2 + s[37] + 7*s[38] - 27*s[39] + 28*s[40] - (45*s[41])/2 + 
       (77*s[42])/2 + (265*s[43])/11 - (248*s[44])/11 + (345*s[45])/11 - 
       (2516*s[46])/11 + (195*s[47])/22 - (25*s[48])/22 - (2191*s[49])/22 + 
       (3667*s[50])/22 + (258*s[51])/11 + (248*s[52])/11 - (1390*s[53])/11 + 
       (615*s[54])/22 - (17879*s[55])/22 - (4973*s[56])/22 + 
       (22741*s[57])/132 - (35303*s[58])/99 + (72937*s[59])/198 + 
       (238429*s[60])/132 - (386117*s[61])/3564) + 
     D25[w, u, v]*(-8*s[3] + 9*s[4] + (289*s[5])/22 + (109*s[6])/22 + 
       (11349*s[7])/44 - (1247*s[8])/99 - (4127*s[9])/18 - (1777*s[10])/18 - 
       (36937*s[11])/132 - (9443*s[12])/33 - (21763*s[13])/132 - 
       (4789*s[14])/132 - (4711*s[15])/12 - (29867*s[16])/66 - 
       (52225*s[17])/132 - (515*s[18])/27 - (2461*s[19])/27 - 
       (317705*s[20])/594 - (216871*s[21])/1188 + (167009*s[22])/1188 + 
       (2732*s[23])/33 + (212809*s[24])/594 - (3683425*s[25])/10692 + 
       (1926517*s[26])/10692 - s[32] - 2*s[37] + 18*s[38] - 23*s[39] + 
       21*s[40] - 20*s[41] + 16*s[42] + (427*s[43])/11 - (559*s[44])/22 + 
       (487*s[45])/11 - (3108*s[46])/11 - (829*s[47])/66 + (2669*s[48])/66 - 
       (12605*s[49])/66 + (2779*s[50])/11 + (1051*s[51])/66 + 
       (841*s[52])/66 - (5630*s[53])/33 - (879*s[54])/11 - (71509*s[55])/66 - 
       (3485*s[56])/22 - (20629*s[57])/66 - (55391*s[58])/198 + 
       (63929*s[59])/198 + (1132745*s[60])/396 - (54041*s[61])/594) + 
     B6[u, w, v]*HPL[{1}, 1 - v]*(4*s[3] + (47*s[4])/4 + (123*s[5])/11 + 
       (903*s[6])/44 + (26465*s[7])/132 - (487*s[8])/33 - (1009*s[9])/6 - 
       (323*s[10])/6 - (9803*s[11])/44 - (10773*s[12])/44 - (9467*s[13])/66 - 
       (262*s[14])/11 - (3191*s[15])/12 - (22175*s[16])/66 - 
       (33887*s[17])/132 - (1481*s[18])/36 - (1159*s[19])/36 - 
       (159565*s[20])/396 - (6617*s[21])/44 + (41071*s[22])/396 + 
       (32783*s[23])/132 + (21667*s[24])/99 - (333547*s[25])/1188 + 
       (187261*s[26])/1188 + s[32]/2 + (3*s[37])/2 + 10*s[38] - 31*s[39] + 
       33*s[40] - (49*s[41])/2 + 41*s[42] + (320*s[43])/11 - (303*s[44])/11 + 
       (323*s[45])/11 - (2439*s[46])/11 + (695*s[47])/66 + (299*s[48])/66 - 
       (4216*s[49])/33 + (3645*s[50])/22 + (1889*s[51])/66 + 
       (1609*s[52])/66 - (3719*s[53])/33 + (21*s[54])/22 - (47323*s[55])/66 - 
       (1953*s[56])/11 + (28549*s[57])/132 - (34687*s[58])/99 + 
       (70847*s[59])/198 + (182768*s[60])/99 - (105481*s[61])/1188) + 
     B6[u, v, w]*HPL[{1}, 1 - v]*((51*s[4])/4 + (90*s[5])/11 + 
       (947*s[6])/44 + (25475*s[7])/132 - (1073*s[8])/66 - (488*s[9])/3 - 
       (139*s[10])/3 - (9671*s[11])/44 - (10883*s[12])/44 - (5179*s[13])/33 - 
       (97*s[14])/11 - (983*s[15])/4 - (21053*s[16])/66 - (30521*s[17])/132 - 
       (451*s[18])/18 - (1459*s[19])/36 - (143197*s[20])/396 - 
       (16639*s[21])/132 + (40279*s[22])/396 + (13273*s[23])/66 + 
       (45281*s[24])/198 - (57221*s[25])/198 + (29507*s[26])/198 - s[33]/2 + 
       (3*s[37])/2 + 10*s[38] - 31*s[39] + 33*s[40] - (49*s[41])/2 + 
       41*s[42] + (320*s[43])/11 - (303*s[44])/11 + (323*s[45])/11 - 
       (2439*s[46])/11 + (695*s[47])/66 + (299*s[48])/66 - (4216*s[49])/33 + 
       (3645*s[50])/22 + (1889*s[51])/66 + (1609*s[52])/66 - 
       (3719*s[53])/33 + (21*s[54])/22 - (47323*s[55])/66 - (1953*s[56])/11 + 
       (28549*s[57])/132 - (34687*s[58])/99 + (70847*s[59])/198 + 
       (182768*s[60])/99 - (105481*s[61])/1188) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 1 - u]*(2*s[2] + 8*s[3] + 
       40*s[4] - 19*s[5] + (135*s[6])/4 + (431*s[7])/12 - (151*s[8])/4 + 
       (83*s[9])/4 + (123*s[10])/2 - (399*s[11])/8 - (859*s[12])/8 - 
       (1321*s[13])/12 + (441*s[14])/4 + (401*s[15])/12 - (265*s[16])/12 + 
       (1751*s[17])/24 + (907*s[18])/36 + (101*s[19])/36 + (1195*s[20])/9 + 
       (4175*s[21])/36 + (7*s[22])/2 + (7153*s[23])/24 + (149*s[24])/24 - 
       (111833*s[25])/648 + (6713*s[26])/648 + s[32] + 5*s[37] - 
       (19*s[38])/2 - 6*s[39] + 10*s[40] - 3*s[41] + 19*s[42] - 
       (11*s[43])/2 - (5*s[44])/2 + 17*s[45] - 73*s[46] + (101*s[47])/6 - 
       (104*s[48])/3 + (194*s[49])/3 + 9*s[50] + (13*s[51])/2 + 
       (97*s[52])/6 - (283*s[53])/6 + 123*s[54] - (593*s[55])/2 - 
       (415*s[56])/2 + (824*s[57])/3 - (610*s[58])/3 + (1045*s[59])/6 + 
       (1297*s[60])/18 - (6821*s[61])/81) + HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 0, 0, 1}, 1 - v]*((-20*s[4])/3 + (193*s[5])/11 + 
       (633*s[6])/88 + (55519*s[7])/396 - (13793*s[8])/2376 - 
       (27601*s[9])/216 - (6805*s[10])/108 - (195455*s[11])/1584 - 
       (146017*s[12])/1584 - (14965*s[13])/396 - (33125*s[14])/396 - 
       (5251*s[15])/18 - (213881*s[16])/792 - (55963*s[17])/176 - 
       (13037*s[18])/648 - (23473*s[19])/648 - (1252829*s[20])/3564 - 
       (503333*s[21])/3564 + (505871*s[22])/7128 + (3089*s[23])/1584 + 
       (2530057*s[24])/14256 - (17137871*s[25])/128304 + 
       (13187951*s[26])/128304 - 6*s[35] - 4*s[36] + (8*s[37])/3 + 
       (23*s[39])/12 - (23*s[40])/12 + (20*s[41])/3 + (5*s[42])/6 + 
       (839*s[43])/132 + (4*s[44])/11 + (4379*s[45])/132 - (3051*s[46])/22 - 
       (833*s[47])/396 - (365*s[48])/99 - (2491*s[49])/99 + (4055*s[50])/33 + 
       (653*s[51])/132 - (1915*s[52])/396 - (47303*s[53])/396 + 
       (26*s[54])/11 - (319007*s[55])/396 - (19103*s[56])/132 - 
       (15254*s[57])/33 - (35965*s[58])/594 + (168899*s[59])/1188 + 
       (1555343*s[60])/1188 - (1612103*s[61])/21384) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      ((-44*s[4])/3 + (257*s[5])/11 - (2823*s[6])/88 + (29551*s[7])/396 - 
       (1697*s[8])/2376 - (18961*s[9])/216 - (6805*s[10])/108 + 
       (4993*s[11])/1584 + (128159*s[12])/1584 + (43883*s[13])/396 - 
       (40325*s[14])/396 - (5347*s[15])/18 - (135353*s[16])/792 - 
       (181457*s[17])/528 - (10733*s[18])/648 - (15409*s[19])/648 - 
       (1046621*s[20])/3564 - (408005*s[21])/3564 + (247535*s[22])/7128 - 
       (278767*s[23])/1584 + (1147657*s[24])/14256 + (5698801*s[25])/128304 + 
       (2735855*s[26])/128304 + (8*s[37])/3 - 16*s[38] + (407*s[39])/12 - 
       (407*s[40])/12 + (68*s[41])/3 - (187*s[42])/6 - (5113*s[43])/132 + 
       (516*s[44])/11 + (6971*s[45])/132 - (747*s[46])/22 + 
       (7999*s[47])/396 - (9245*s[48])/99 + (16757*s[49])/99 + 
       (3191*s[50])/33 - (81*s[51])/44 - (5563*s[52])/396 - 
       (47687*s[53])/396 + (362*s[54])/11 - (340319*s[55])/396 - 
       (12959*s[56])/132 - (11586*s[57])/11 + (135395*s[58])/594 - 
       (150781*s[59])/1188 + (490991*s[60])/1188 - (1531151*s[61])/21384) + 
     B7[v, w, u]*HPL[{1}, 1 - v]*(4*s[3] + (35*s[4])/4 + (295*s[5])/44 + 
       (156*s[6])/11 + (34975*s[7])/264 - (225*s[8])/22 - (443*s[9])/4 - 
       (141*s[10])/4 - (12803*s[11])/88 - (6907*s[12])/44 - 
       (25205*s[13])/264 - (1225*s[14])/88 - (4427*s[15])/24 - 
       (29629*s[16])/132 - (47665*s[17])/264 - (775*s[18])/36 - 
       (1025*s[19])/36 - (102545*s[20])/396 - (71429*s[21])/792 + 
       (17881*s[22])/264 + (17723*s[23])/132 + (19999*s[24])/132 - 
       (1350875*s[25])/7128 + (720983*s[26])/7128 + (3*s[37])/2 + 5*s[38] - 
       18*s[39] + 19*s[40] - 13*s[41] + (49*s[42])/2 + (173*s[43])/11 - 
       (349*s[44])/22 + (263*s[45])/11 - (1637*s[46])/11 + (250*s[47])/33 - 
       (113*s[48])/33 - (4745*s[49])/66 + (1270*s[50])/11 + (377*s[51])/22 + 
       (518*s[52])/33 - (2681*s[53])/33 + (40*s[54])/11 - (11659*s[55])/22 - 
       (2769*s[56])/22 + (4867*s[57])/66 - (7190*s[58])/33 + 
       (2472*s[59])/11 + (489761*s[60])/396 - (58796*s[61])/891) + 
     B7[w, u, v]*HPL[{1}, 1 - v]*((13*s[4])/4 + (405*s[5])/44 + 
       (101*s[6])/11 + (36361*s[7])/264 - (225*s[8])/22 - (477*s[9])/4 - 
       (159*s[10])/4 - (12957*s[11])/88 - (6929*s[12])/44 - 
       (23291*s[13])/264 - (1907*s[14])/88 - (4501*s[15])/24 - 
       (30487*s[16])/132 - (49183*s[17])/264 - (997*s[18])/36 - 
       (767*s[19])/36 - (113105*s[20])/396 - (83639*s[21])/792 + 
       (6349*s[22])/88 + (18515*s[23])/132 + (19867*s[24])/132 - 
       (1302365*s[25])/7128 + (744941*s[26])/7128 + (3*s[37])/2 + 5*s[38] - 
       18*s[39] + 19*s[40] - 13*s[41] + (49*s[42])/2 + (173*s[43])/11 - 
       (349*s[44])/22 + (263*s[45])/11 - (1637*s[46])/11 + (250*s[47])/33 - 
       (113*s[48])/33 - (4745*s[49])/66 + (1270*s[50])/11 + (377*s[51])/22 + 
       (518*s[52])/33 - (2681*s[53])/33 + (40*s[54])/11 - (11659*s[55])/22 - 
       (2769*s[56])/22 + (4867*s[57])/66 - (7190*s[58])/33 + 
       (2472*s[59])/11 + (489761*s[60])/396 - (58796*s[61])/891) + 
     HPL[{1}, 1 - u]^2*M1[v, w, u]*(-s[4]/3 + (147*s[5])/22 + 
       (961*s[6])/176 + (61363*s[7])/792 - (25853*s[8])/4752 - 
       (28717*s[9])/432 - (6571*s[10])/216 - (228251*s[11])/3168 - 
       (191017*s[12])/3168 - (3371*s[13])/99 - (5849*s[14])/198 - 
       (5653*s[15])/36 - (239039*s[16])/1584 - (178069*s[17])/1056 - 
       (2669*s[18])/1296 - (33733*s[19])/1296 - (1241651*s[20])/7128 - 
       (245731*s[21])/3564 + (547901*s[22])/14256 + (92021*s[23])/3168 + 
       (2981533*s[24])/28512 - (22044563*s[25])/256608 + 
       (14975819*s[26])/256608 + s[37]/3 - (37*s[39])/24 + (37*s[40])/24 + 
       (5*s[41])/6 + (59*s[42])/12 + (2675*s[43])/264 - (301*s[44])/88 + 
       (3935*s[45])/264 - (3607*s[46])/44 - (1127*s[47])/198 + 
       (7933*s[48])/792 - (30949*s[49])/792 + (4577*s[50])/66 - 
       (277*s[51])/44 - (617*s[52])/99 - (54749*s[53])/792 - (83*s[54])/11 - 
       (89543*s[55])/198 - (11413*s[56])/132 - (14573*s[57])/66 - 
       (113297*s[58])/2376 + (64613*s[59])/594 + (3756919*s[60])/4752 - 
       (1647377*s[61])/42768) + HPL[{0, 0, 0, 0, 0, 0, 1}, 1 - v]*
      (-128*s[35] - 64*s[36] - 32*s[61]) + HPL[{0, 0, 0, 0, 0, 0, 1}, 1 - w]*
      (-32*s[25] + 32*s[26] - 128*s[35] - 64*s[36] - 32*s[61]) + 
     HPL[{1}, 1 - u]^2*M1[w, u, v]*(-s[4] + (115*s[5])/22 + (577*s[6])/176 + 
       (15161*s[7])/264 - (1765*s[8])/528 - (2381*s[9])/48 - (599*s[10])/24 - 
       (18467*s[11])/352 - (14505*s[12])/352 - (3191*s[13])/132 - 
       (1035*s[14])/44 - (497*s[15])/4 - (60809*s[16])/528 - 
       (142421*s[17])/1056 + (65*s[18])/48 - (373*s[19])/16 - 
       (34321*s[20])/264 - (10349*s[21])/198 + (44953*s[22])/1584 + 
       (11063*s[23])/1056 + (262373*s[24])/3168 - (1781699*s[25])/28512 + 
       (1237883*s[26])/28512 + (5*s[37])/6 - (7*s[39])/8 + (7*s[40])/8 + 
       (3*s[41])/2 + (15*s[42])/4 + (857*s[43])/88 - (401*s[44])/88 + 
       (997*s[45])/88 - (2691*s[46])/44 - (205*s[47])/33 + (3475*s[48])/264 - 
       (9919*s[49])/264 + (1171*s[50])/22 - (261*s[51])/44 - (505*s[52])/66 - 
       (14387*s[53])/264 - (178*s[54])/11 - (11618*s[55])/33 - 
       (2703*s[56])/44 - (4181*s[57])/22 - (19763*s[58])/792 + 
       (8143*s[59])/99 + (976981*s[60])/1584 - (376307*s[61])/14256) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((-20*s[4])/3 + (129*s[5])/11 + (569*s[6])/88 + (40831*s[7])/396 - 
       (17441*s[8])/2376 - (19921*s[9])/216 - (4597*s[10])/108 - 
       (191039*s[11])/1584 - (213217*s[12])/1584 - (25237*s[13])/396 - 
       (19061*s[14])/396 - (2851*s[15])/18 - (169913*s[16])/792 - 
       (90961*s[17])/528 - (17261*s[18])/648 - (6001*s[19])/648 - 
       (992813*s[20])/3564 - (444485*s[21])/3564 + (429455*s[22])/7128 + 
       (187793*s[23])/1584 + (1830025*s[24])/14256 - 
       (16269455*s[25])/128304 + (12518255*s[26])/128304 - 4*s[36] + 
       (8*s[37])/3 + 8*s[38] - (169*s[39])/12 + (169*s[40])/12 - 
       (4*s[41])/3 + (101*s[42])/6 + (2567*s[43])/132 - (288*s[44])/11 + 
       (731*s[45])/132 - (2187*s[46])/22 - (4385*s[47])/396 + 
       (4291*s[48])/99 - (11971*s[49])/99 + (2543*s[50])/33 + (47*s[51])/44 - 
       (1963*s[52])/396 - (19463*s[53])/396 - (662*s[54])/11 - 
       (132959*s[55])/396 - (8351*s[56])/132 + (3832*s[57])/33 - 
       (102253*s[58])/594 + (265763*s[59])/1188 + (1312367*s[60])/1188 - 
       (528023*s[61])/21384) + D23[w, u, v]*(3*s[4] + (15*s[5])/11 + 
       (89*s[6])/22 + (2023*s[7])/66 - (707*s[8])/198 - (439*s[9])/18 - 
       (55*s[10])/9 - (4115*s[11])/132 - (4369*s[12])/132 - (215*s[13])/11 - 
       (164*s[14])/33 - (265*s[15])/6 - (557*s[16])/11 - (5635*s[17])/132 - 
       (305*s[18])/54 - (187*s[19])/54 - (17384*s[20])/297 - 
       (6098*s[21])/297 + (8945*s[22])/594 + (1597*s[23])/44 + 
       (37867*s[24])/1188 - (435569*s[25])/10692 + (239405*s[26])/10692 - 
       2*s[39] + 2*s[40] - 3*s[41] + 4*s[42] + (24*s[43])/11 - 
       (35*s[44])/22 + (52*s[45])/11 - (368*s[46])/11 + (49*s[47])/22 - 
       (39*s[48])/22 - (147*s[49])/22 + (268*s[50])/11 + (247*s[51])/66 + 
       (57*s[52])/22 - (228*s[53])/11 + (120*s[54])/11 - (3033*s[55])/22 - 
       (915*s[56])/22 - (185*s[57])/33 - (8959*s[58])/198 + 
       (9265*s[59])/198 + (33899*s[60])/132 - (34249*s[61])/1782) + 
     D18[w, u, v]*(4*s[4] + 5*s[6] + 35*s[7] - (16*s[8])/3 - (79*s[9])/3 - 
       (20*s[10])/3 - 39*s[11] - 44*s[12] - 29*s[13] + 6*s[14] - 49*s[15] - 
       60*s[16] - 44*s[17] - (8*s[18])/9 - (88*s[19])/9 - (491*s[20])/9 - 
       (131*s[21])/9 + (157*s[22])/9 + 49*s[23] + (394*s[24])/9 - 
       (4625*s[25])/81 + (1997*s[26])/81 + s[38] - 5*s[39] + 5*s[40] - 
       4*s[41] + 8*s[42] + 5*s[43] - 4*s[44] + 5*s[45] - 42*s[46] + s[47] + 
       s[48] - 21*s[49] + 33*s[50] + 4*s[51] + 3*s[52] - 26*s[53] - 
       (469*s[55])/3 - 38*s[56] + (62*s[57])/3 - (532*s[58])/9 + 
       (595*s[59])/9 + (1021*s[60])/3 - (3083*s[61])/162) + 
     HPL[{1}, 1 - v]^2*Ot[u, v, w]*(s[4]/12 + (137*s[5])/22 + 
       (2007*s[6])/176 + (36947*s[7])/792 - (925*s[8])/4752 - 
       (19601*s[9])/432 - (301*s[10])/27 - (174871*s[11])/3168 - 
       (189923*s[12])/3168 - (55309*s[13])/1584 - (19649*s[14])/1584 - 
       (1781*s[15])/36 - (63785*s[16])/792 - (19739*s[17])/352 - 
       (36961*s[18])/1296 + (21109*s[19])/1296 - (372479*s[20])/3564 - 
       (907631*s[21])/14256 + (95185*s[22])/3564 + (402481*s[23])/3168 + 
       (687773*s[24])/28512 - (13852957*s[25])/256608 + 
       (12662401*s[26])/256608 + (17*s[38])/6 - (133*s[39])/8 + 
       (133*s[40])/8 - (52*s[41])/3 + (299*s[42])/12 + (1405*s[43])/264 - 
       (5101*s[44])/528 - (81*s[45])/88 - (6467*s[46])/132 + 
       (15097*s[47])/1584 - (19685*s[48])/1584 - (55939*s[49])/1584 + 
       (360*s[50])/11 + (6229*s[51])/528 + (22475*s[52])/1584 - 
       (1442*s[53])/99 - (35*s[54])/11 - (8323*s[55])/176 - 
       (15133*s[56])/528 + (143785*s[57])/396 - (773815*s[58])/4752 + 
       (685213*s[59])/4752 + (2266261*s[60])/9504 - (80057*s[61])/4752) + 
     D17[w, u, v]*(4*s[4] + 7*s[6] + (103*s[7])/3 - (37*s[8])/9 - 
       (226*s[9])/9 - (53*s[10])/9 - (241*s[11])/6 - (136*s[12])/3 - 
       (209*s[13])/6 + (11*s[14])/6 - 46*s[15] - (353*s[16])/6 - 
       (87*s[17])/2 + (79*s[18])/27 - (346*s[19])/27 - (1367*s[20])/27 - 
       (667*s[21])/54 + (923*s[22])/54 + (163*s[23])/6 + (2753*s[24])/54 - 
       (14426*s[25])/243 + (5966*s[26])/243 + 2*s[38] - 5*s[39] + 5*s[40] - 
       4*s[41] + 7*s[42] + 7*s[43] - 5*s[44] + 5*s[45] - 42*s[46] - 
       (2*s[47])/3 + (19*s[48])/3 - (82*s[49])/3 + 31*s[50] + (10*s[51])/3 + 
       (8*s[52])/3 - (71*s[53])/3 - (448*s[55])/3 - 37*s[56] + (16*s[57])/3 - 
       (490*s[58])/9 + (565*s[59])/9 + (6751*s[60])/18 - (448*s[61])/27) + 
     D23[v, w, u]*((36*s[5])/11 + (21*s[6])/11 + (679*s[7])/22 - 
       (18*s[8])/11 - 27*s[9] - 12*s[10] - (306*s[11])/11 - (249*s[12])/11 - 
       (109*s[13])/11 - (162*s[14])/11 - (117*s[15])/2 - (1259*s[16])/22 - 
       (698*s[17])/11 - (13*s[18])/3 - (23*s[19])/3 - (2435*s[20])/33 - 
       (928*s[21])/33 + (169*s[22])/11 + (229*s[23])/22 + (835*s[24])/22 - 
       (9334*s[25])/297 + (6427*s[26])/297 + (18*s[43])/11 - (9*s[44])/11 + 
       (72*s[45])/11 - (342*s[46])/11 - (5*s[47])/11 - (5*s[48])/11 - 
       (73*s[49])/11 + (300*s[50])/11 + (13*s[51])/11 - (13*s[52])/11 - 
       (281*s[53])/11 + (24*s[54])/11 - (1851*s[55])/11 - (339*s[56])/11 - 
       (940*s[57])/11 - (195*s[58])/11 + (337*s[59])/11 + (18769*s[60])/66 - 
       (4838*s[61])/297) + D23[u, v, w]*((36*s[5])/11 + (21*s[6])/11 + 
       (679*s[7])/22 - (18*s[8])/11 - 27*s[9] - 12*s[10] - (306*s[11])/11 - 
       (249*s[12])/11 - (109*s[13])/11 - (162*s[14])/11 - (121*s[15])/2 - 
       (1259*s[16])/22 - (698*s[17])/11 - (13*s[18])/3 - (23*s[19])/3 - 
       (2435*s[20])/33 - (928*s[21])/33 + (169*s[22])/11 + (229*s[23])/22 + 
       (835*s[24])/22 - (9334*s[25])/297 + (6427*s[26])/297 + (18*s[43])/11 - 
       (9*s[44])/11 + (72*s[45])/11 - (342*s[46])/11 - (5*s[47])/11 - 
       (5*s[48])/11 - (73*s[49])/11 + (300*s[50])/11 + (13*s[51])/11 - 
       (13*s[52])/11 - (281*s[53])/11 + (24*s[54])/11 - (1829*s[55])/11 - 
       (339*s[56])/11 - (940*s[57])/11 - (195*s[58])/11 + (337*s[59])/11 + 
       (18769*s[60])/66 - (4838*s[61])/297) + HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 0, 1}, 1 - v]*((-49*s[4])/6 + (103*s[5])/11 - 
       (2647*s[6])/88 - (7475*s[7])/396 + (8797*s[8])/2376 + 
       (1937*s[9])/216 - (430*s[10])/27 + (142999*s[11])/1584 + 
       (246563*s[12])/1584 + (113869*s[13])/792 - (66559*s[14])/792 - 
       (1531*s[15])/18 + (16457*s[16])/396 - (19749*s[17])/176 + 
       (1633*s[18])/648 - (5365*s[19])/648 - (111817*s[20])/1782 + 
       (38063*s[21])/7128 - (38329*s[22])/1782 - (466801*s[23])/1584 - 
       (306653*s[24])/14256 + (17056477*s[25])/128304 - 
       (7320961*s[26])/128304 - (41*s[38])/3 + (197*s[39])/4 - 
       (197*s[40])/4 + (128*s[41])/3 - (395*s[42])/6 - (3133*s[43])/132 + 
       (12109*s[44])/264 + (1649*s[45])/44 + (3875*s[46])/66 - 
       (7993*s[47])/792 - (17563*s[48])/792 + (131779*s[49])/792 - 
       (216*s[50])/11 - (1735*s[51])/88 - (22379*s[52])/792 - 
       (4076*s[53])/99 + (582*s[54])/11 - (32317*s[55])/88 - 
       (4259*s[56])/264 - (258697*s[57])/198 + (1051639*s[58])/2376 - 
       (891613*s[59])/2376 - (1294357*s[60])/4752 - (107989*s[61])/7128) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 1}, 1 - v]*(-56*s[35] - 28*s[36] - 
       (44*s[61])/3) + HPL[{1}, 1 - w]^3*Omega2[w, u, v]*
      ((11*s[4])/4 + (29*s[5])/22 + (593*s[6])/44 + (8065*s[7])/264 + 
       (35*s[8])/22 - (87*s[9])/4 - (19*s[10])/4 - (434*s[11])/11 - 
       (911*s[12])/22 - (2897*s[13])/66 - (899*s[14])/44 - (325*s[15])/8 - 
       (13919*s[16])/264 - (6065*s[17])/132 + (329*s[18])/36 - 
       (599*s[19])/36 - (9169*s[20])/198 - (5611*s[21])/396 + 
       (985*s[22])/66 - (11633*s[23])/264 + (5587*s[24])/88 - 
       (194179*s[25])/3564 + (44417*s[26])/1782 + 4*s[38] - (11*s[39])/4 + 
       (11*s[40])/4 - (11*s[41])/4 + s[42]/4 + (469*s[43])/44 - 
       (317*s[44])/44 + (237*s[45])/44 - (853*s[46])/22 - (587*s[47])/132 + 
       (1439*s[48])/66 - (2249*s[49])/66 + (251*s[50])/11 + (457*s[51])/132 + 
       (151*s[52])/66 - (1547*s[53])/132 + (127*s[54])/11 - (5063*s[55])/44 - 
       (533*s[56])/11 - (2003*s[57])/33 - (7373*s[58])/198 + 
       (7253*s[59])/198 + (339205*s[60])/792 - (2581*s[61])/198) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 1}, 1 - w]*((-15*s[4])/4 + 
       (169*s[5])/22 - (65*s[6])/44 + (3127*s[7])/88 + (52*s[8])/33 - 
       (415*s[9])/12 - (239*s[10])/12 - (1069*s[11])/44 - (345*s[12])/44 + 
       (30*s[13])/11 - (1895*s[14])/44 - (2087*s[15])/24 - (6309*s[16])/88 - 
       (1107*s[17])/11 - (299*s[18])/36 - (283*s[19])/36 - 
       (22841*s[20])/198 - (19315*s[21])/396 + (1751*s[22])/99 - 
       (4013*s[23])/88 + (38245*s[24])/792 - (24455*s[25])/1782 + 
       (82777*s[26])/3564 + (2*s[37])/3 + (23*s[39])/4 - (23*s[40])/4 + 
       (15*s[41])/4 - (33*s[42])/4 + (15*s[43])/44 + (163*s[44])/44 + 
       (423*s[45])/44 - (577*s[46])/22 - (83*s[47])/44 + (4*s[48])/11 + 
       (21*s[49])/11 + (376*s[50])/11 - (215*s[51])/132 - (60*s[52])/11 - 
       (1325*s[53])/44 - (50*s[54])/11 - (28987*s[55])/132 - (182*s[56])/11 - 
       (8359*s[57])/33 + (5965*s[58])/198 - (827*s[59])/99 + 
       (89009*s[60])/264 - (15281*s[61])/1188) + HPL[{1}, 1 - v]^5*
      HPL[{0, 1}, 1 - u]*((-113*s[4])/48 + (459*s[5])/88 + (4555*s[6])/1056 + 
       (90485*s[7])/3168 + (9061*s[8])/9504 - (24877*s[9])/864 - 
       (2387*s[10])/216 - (182777*s[11])/6336 - (164155*s[12])/6336 - 
       (8831*s[13])/792 - (30821*s[14])/1584 - (12433*s[15])/288 - 
       (82345*s[16])/1584 - (105667*s[17])/2112 - (44849*s[18])/2592 + 
       (21011*s[19])/2592 - (1121795*s[20])/14256 - (651677*s[21])/14256 + 
       (453587*s[22])/28512 + (328433*s[23])/6336 + (1008133*s[24])/57024 - 
       (11302997*s[25])/513216 + (14963081*s[26])/513216 + (29*s[38])/24 - 
       (25*s[39])/4 + (25*s[40])/4 - (289*s[41])/48 + (449*s[42])/48 + 
       (157*s[43])/66 - (130*s[44])/33 + (63*s[45])/44 - (3491*s[46])/132 + 
       (5029*s[47])/1584 - (7709*s[48])/1584 - (22567*s[49])/1584 + 
       (5051*s[50])/264 + (799*s[51])/176 + (1033*s[52])/198 - 
       (2335*s[53])/198 - (47*s[54])/132 - (10741*s[55])/176 - 
       (658*s[56])/33 + (45535*s[57])/396 - (318205*s[58])/4752 + 
       (150005*s[59])/2376 + (192155*s[60])/1188 - (307771*s[61])/28512) + 
     HPL[{1}, 1 - v]^2*M1[v, w, u]*((11*s[4])/12 + (41*s[5])/44 - 
       (579*s[6])/176 + (4933*s[7])/792 - (13907*s[8])/4752 - 
       (991*s[9])/432 - (307*s[10])/54 + (5059*s[11])/3168 + 
       (41963*s[12])/3168 + (5959*s[13])/1584 + (5447*s[14])/1584 - 
       (593*s[15])/18 - (3781*s[16])/198 - (52339*s[17])/1056 + 
       (25009*s[18])/1296 - (32917*s[19])/1296 + (8699*s[20])/3564 + 
       (255797*s[21])/14256 + (4291*s[22])/7128 - (162277*s[23])/3168 + 
       (900223*s[24])/28512 - (2668019*s[25])/256608 - 
       (2881273*s[26])/256608 - (4*s[38])/3 + (55*s[39])/8 - (55*s[40])/8 + 
       (103*s[41])/12 - (23*s[42])/3 - (427*s[43])/264 + (1945*s[44])/528 + 
       (571*s[45])/88 - (1207*s[46])/132 - (7201*s[47])/1584 + 
       (4217*s[48])/1584 + (17731*s[49])/1584 + (389*s[50])/22 - 
       (899*s[51])/176 - (13667*s[52])/1584 - (10825*s[53])/396 - s[54]/22 - 
       (90395*s[55])/528 - (5975*s[56])/528 - (103135*s[57])/396 + 
       (304123*s[58])/4752 - (152413*s[59])/4752 + (1537043*s[60])/9504 - 
       (118307*s[61])/14256) + HPL[{1}, 1 - v]^3*Omega2[w, u, v]*
      (-s[4]/12 + (141*s[5])/44 + (695*s[6])/132 + (2315*s[7])/99 + 
       (1303*s[8])/1188 - (1283*s[9])/54 - (791*s[10])/108 - 
       (2797*s[11])/99 - (22477*s[12])/792 - (14653*s[13])/792 - 
       (2753*s[14])/792 - (1003*s[15])/36 - (33553*s[16])/792 - 
       (1489*s[17])/44 - (3593*s[18])/324 + (923*s[19])/324 - 
       (173959*s[20])/3564 - (214103*s[21])/7128 + (96049*s[22])/7128 + 
       (20257*s[23])/396 + (29389*s[24])/1782 - (882169*s[25])/32076 + 
       (373049*s[26])/16038 + (5*s[38])/3 - (35*s[39])/4 + (35*s[40])/4 - 
       (107*s[41])/12 + (77*s[42])/6 + (283*s[43])/132 - (155*s[44])/33 + 
       (7*s[45])/44 - (841*s[46])/33 + (596*s[47])/99 - (3457*s[48])/396 - 
       (3895*s[49])/198 + (1361*s[50])/66 + (821*s[51])/132 + 
       (2707*s[52])/396 - (3847*s[53])/396 - (287*s[54])/33 - 
       (1593*s[55])/44 - (166*s[56])/33 + (69935*s[57])/396 - 
       (95567*s[58])/1188 + (88985*s[59])/1188 + (330389*s[60])/2376 - 
       (8761*s[61])/1188) + HPL[{1}, 1 - v]^4*HPL[{0, 0, 1}, 1 - u]*
      ((-829*s[4])/288 + (2225*s[5])/528 + (5045*s[6])/2112 + 
       (351781*s[7])/19008 + (98585*s[8])/57024 - (103685*s[9])/5184 - 
       (11719*s[10])/1296 - (684661*s[11])/38016 - (547787*s[12])/38016 - 
       (45467*s[13])/9504 - (79679*s[14])/4752 - (51593*s[15])/1728 - 
       (82613*s[16])/2376 - (51167*s[17])/1408 - (205129*s[18])/15552 + 
       (102787*s[19])/15552 - (4887373*s[20])/85536 - (1499507*s[21])/42768 + 
       (1809421*s[22])/171072 + (1176565*s[23])/38016 + 
       (3383441*s[24])/342144 - (29734549*s[25])/3079296 + 
       (61560025*s[26])/3079296 + (71*s[38])/72 - (103*s[39])/24 + 
       (103*s[40])/24 - (1145*s[41])/288 + (1813*s[42])/288 + 
       (134*s[43])/99 - (8579*s[44])/3168 + (7*s[45])/11 - 
       (12349*s[46])/792 + (10273*s[47])/4752 - (17381*s[48])/4752 - 
       (23357*s[49])/2376 + (791*s[50])/66 + (525*s[51])/176 + 
       (33349*s[52])/9504 - (30623*s[53])/4752 - (379*s[54])/132 - 
       (16327*s[55])/528 - (26927*s[56])/3168 + (48701*s[57])/594 - 
       (308273*s[58])/7128 + (1161593*s[59])/28512 + (5314649*s[60])/57024 - 
       (942401*s[61])/171072) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^5*
      ((-113*s[4])/96 + (459*s[5])/176 + (4555*s[6])/2112 + 
       (90485*s[7])/6336 + (9061*s[8])/19008 - (24877*s[9])/1728 - 
       (2387*s[10])/432 - (182777*s[11])/12672 - (164155*s[12])/12672 - 
       (8831*s[13])/1584 - (30821*s[14])/3168 - (12433*s[15])/576 - 
       (82345*s[16])/3168 - (105667*s[17])/4224 - (44849*s[18])/5184 + 
       (21011*s[19])/5184 - (1121795*s[20])/28512 - (651677*s[21])/28512 + 
       (452795*s[22])/57024 + (328433*s[23])/12672 + (1008133*s[24])/114048 - 
       (11310917*s[25])/1026432 + (14971001*s[26])/1026432 - s[37]/12 + 
       (29*s[38])/48 - (25*s[39])/8 + (25*s[40])/8 - (289*s[41])/96 + 
       (449*s[42])/96 + (157*s[43])/132 - (65*s[44])/33 + (63*s[45])/88 - 
       (3491*s[46])/264 + (5029*s[47])/3168 - (7709*s[48])/3168 - 
       (22567*s[49])/3168 + (5051*s[50])/528 + (799*s[51])/352 + 
       (1033*s[52])/396 - (2335*s[53])/396 - (47*s[54])/264 - 
       (10741*s[55])/352 - (329*s[56])/33 + (45535*s[57])/792 - 
       (318205*s[58])/9504 + (150005*s[59])/4752 + (192155*s[60])/2376 - 
       (102737*s[61])/19008) + D18[v, w, u]*(s[4]/2 + s[5]/2 + s[6] + 
       (37*s[7])/4 - (4*s[8])/3 - (47*s[9])/6 - (13*s[10])/6 - (37*s[11])/4 - 
       (19*s[12])/2 - (21*s[13])/4 - (3*s[14])/4 - (169*s[15])/12 - 
       17*s[16] - (61*s[17])/4 - (37*s[18])/18 - (11*s[19])/18 - 
       (319*s[20])/18 - (251*s[21])/36 + (169*s[22])/36 + 17*s[23] + 
       (82*s[24])/9 - (3725*s[25])/324 + (2177*s[26])/324 - (3*s[39])/2 + 
       (3*s[40])/2 - (3*s[41])/2 + (7*s[42])/2 + (3*s[43])/2 - (3*s[44])/4 + 
       s[45]/2 - 10*s[46] + (3*s[47])/4 + s[48]/4 - (21*s[49])/4 + 8*s[50] + 
       (19*s[51])/12 + (3*s[52])/4 - 7*s[53] - (407*s[55])/12 - 
       (39*s[56])/4 + (53*s[57])/3 - (583*s[58])/36 + (655*s[59])/36 + 
       (571*s[60])/8 - (394*s[61])/81) + B9[v, w, u]*HPL[{1}, 1 - v]*
      (2*s[38] + 8*s[39] - 8*s[40] + 8*s[41] - 16*s[42] + 6*s[44] + 8*s[45] - 
       8*s[47] + 16*s[48] + 10*s[49] - 8*s[50] - 8*s[51] + 2*s[52] + 
       10*s[55] - 16*s[56] - 96*s[57] + 8*s[58] - 38*s[59] + (232*s[60])/3 - 
       (119*s[61])/27) + D25[v, u, w]*(-8*s[4] + 6*s[6] + 6*s[7] + 10*s[8] - 
       14*s[9] - 8*s[10] - 10*s[11] - 12*s[12] - 30*s[13] - 42*s[14] + 
       26*s[15] + 6*s[16] + 2*s[17] - (8*s[18])/3 + (14*s[19])/3 - 
       (68*s[20])/3 - (58*s[21])/3 + (22*s[22])/3 - 164*s[23] + 8*s[24] + 
       (67*s[25])/27 + (293*s[26])/27 + 2*s[38] + 8*s[39] - 8*s[40] + 
       8*s[41] - 16*s[42] + 6*s[44] + 8*s[45] - 8*s[47] + 16*s[48] + 
       10*s[49] - 8*s[50] - 8*s[51] + 2*s[52] + 10*s[55] - 16*s[56] - 
       96*s[57] + 8*s[58] - 38*s[59] + (232*s[60])/3 - (119*s[61])/27) + 
     B9[w, u, v]*HPL[{1}, 1 - v]*(-8*s[4] + 6*s[6] + 6*s[7] + 10*s[8] - 
       14*s[9] - 8*s[10] - 10*s[11] - 12*s[12] - 30*s[13] - 42*s[14] + 
       26*s[15] + 6*s[16] + 2*s[17] - (8*s[18])/3 + (14*s[19])/3 - 
       (68*s[20])/3 - (58*s[21])/3 + (22*s[22])/3 - 164*s[23] + 8*s[24] + 
       (67*s[25])/27 + (293*s[26])/27 + 2*s[38] + 8*s[39] - 8*s[40] + 
       8*s[41] - 16*s[42] + 6*s[44] + 8*s[45] - 8*s[47] + 16*s[48] + 
       10*s[49] - 8*s[50] - 8*s[51] + 2*s[52] + 10*s[55] - 16*s[56] - 
       96*s[57] + 8*s[58] - 38*s[59] + (232*s[60])/3 - (119*s[61])/27) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1}, 1 - w]*
      (-4*s[3] - (136*s[21])/3 - 4*s[22] + 8*s[23] - (8*s[24])/3 + 
       (116*s[25])/3 + (116*s[26])/3 - 4*s[45] + 16*s[57] - (8*s[58])/3 + 
       (8*s[59])/3 - (28*s[60])/3 - (32*s[61])/9) + 
     HPL[{1}, 1 - u]^5*HPL[{0, 1}, 1 - v]*((-67*s[4])/48 + (41*s[5])/44 - 
       (117*s[6])/176 + (20359*s[7])/3168 + (283*s[8])/4752 - (299*s[9])/54 - 
       (1063*s[10])/216 - (13817*s[11])/3168 - (575*s[12])/396 - 
       (2239*s[13])/3168 - (17057*s[14])/3168 - (5681*s[15])/288 - 
       (1544*s[16])/99 - (24113*s[17])/1056 + (311*s[18])/162 - 
       (5761*s[19])/1296 - (272731*s[20])/14256 - (265523*s[21])/28512 + 
       (83923*s[22])/28512 - (1819*s[23])/792 + (40361*s[24])/3564 - 
       (22768*s[25])/8019 + (164413*s[26])/32076 + s[37]/4 + (43*s[39])/48 - 
       (43*s[40])/48 + (79*s[41])/48 - (43*s[42])/48 + (1027*s[43])/528 + 
       (149*s[44])/352 + (511*s[45])/528 - (493*s[46])/88 - 
       (11465*s[47])/3168 + (18301*s[48])/3168 - (21925*s[49])/3168 + 
       (193*s[50])/33 - (5801*s[51])/1056 - (11725*s[52])/3168 - 
       (3037*s[53])/396 - (413*s[54])/132 - (166973*s[55])/3168 - 
       (3151*s[56])/352 - (22967*s[57])/396 + (2517*s[58])/352 + 
       (22387*s[59])/3168 + (1647265*s[60])/19008 - (7600*s[61])/2673) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - w]*
      (-4*s[37] - (64*s[61])/27) + HPL[{1}, 1 - v]^2*Nt[u, v, w]*
      (-s[4]/24 + (139*s[5])/88 + (225*s[6])/88 + (7223*s[7])/792 + 
       (1627*s[8])/2376 - (260*s[9])/27 - (557*s[10])/216 - 
       (2305*s[11])/198 - (18697*s[12])/1584 - (12421*s[13])/1584 - 
       (1337*s[14])/1584 - (181*s[15])/18 - (26659*s[16])/1584 - 
       (1119*s[17])/88 - (3377*s[18])/648 + (1409*s[19])/648 - 
       (133891*s[20])/7128 - (185843*s[21])/14256 + (78193*s[22])/14256 + 
       (5239*s[23])/198 + (36827*s[24])/7128 - (707623*s[25])/64152 + 
       (156415*s[26])/16038 + (5*s[38])/6 - (35*s[39])/8 + (35*s[40])/8 - 
       (107*s[41])/24 + (77*s[42])/12 + (247*s[43])/264 - (301*s[44])/132 - 
       (41*s[45])/88 - (335*s[46])/33 + (1141*s[47])/396 - (3427*s[48])/792 - 
       (3643*s[49])/396 + (175*s[50])/22 + (265*s[51])/88 + 
       (2653*s[52])/792 - (2425*s[53])/792 - (48*s[54])/11 - 
       (1253*s[55])/264 - (37*s[56])/132 + (75641*s[57])/792 - 
       (91661*s[58])/2376 + (83117*s[59])/2376 + (214211*s[60])/4752 - 
       (5345*s[61])/2376) + D17[v, w, u]*(4*s[7] - s[8] - 3*s[9] - s[10] - 
       (7*s[11])/2 - 4*s[12] - (3*s[13])/2 - (3*s[14])/2 - 7*s[15] - 
       (17*s[16])/2 - (15*s[17])/2 - (2*s[18])/3 - s[19]/3 - (29*s[20])/3 - 
       (17*s[21])/6 + (11*s[22])/6 + (13*s[23])/2 + (11*s[24])/2 - 
       (122*s[25])/27 + (77*s[26])/27 + s[42] + 2*s[43] - s[44]/2 - 4*s[46] - 
       (3*s[47])/2 + (9*s[48])/2 - (11*s[49])/2 + 2*s[50] - (5*s[51])/6 - 
       s[52]/2 - 3*s[53] - (101*s[55])/6 - (13*s[56])/2 - 13*s[57] + 
       s[58]/2 + (7*s[59])/2 + (553*s[60])/12 - (47*s[61])/27) + 
     B4[v, w, u]*HPL[{1}, 1 - u]*(s[6] + (2*s[8])/9 + (2*s[9])/9 + 
       (7*s[10])/9 - s[11]/6 - (5*s[12])/6 - (7*s[13])/6 - (5*s[14])/3 + 
       (4*s[15])/3 + (5*s[16])/6 + (7*s[17])/3 - (38*s[18])/27 + 
       (59*s[19])/27 - (25*s[20])/54 - (157*s[21])/54 - (5*s[22])/27 - 
       (5*s[23])/3 - (53*s[24])/27 + (593*s[25])/486 + (491*s[26])/243 + 
       s[47]/6 + s[48]/6 + (5*s[49])/6 - s[50] - s[51]/2 + s[52]/3 + 
       (5*s[53])/3 + (7*s[55])/2 - (5*s[56])/2 + 13*s[57] - (107*s[58])/18 + 
       (65*s[59])/18 - (443*s[60])/36 - (235*s[61])/162) + 
     D16[v, w, u]*(s[6] + (2*s[8])/9 + (2*s[9])/9 + (7*s[10])/9 - s[11]/6 - 
       (5*s[12])/6 - (7*s[13])/6 - (5*s[14])/3 + (4*s[15])/3 + (5*s[16])/6 + 
       (7*s[17])/3 - (38*s[18])/27 + (59*s[19])/27 - (25*s[20])/54 - 
       (157*s[21])/54 - (5*s[22])/27 - (2*s[23])/3 - (53*s[24])/27 + 
       (593*s[25])/486 + (491*s[26])/243 + s[47]/6 + s[48]/6 + (5*s[49])/6 - 
       s[50] - s[51]/2 + s[52]/3 + (5*s[53])/3 + (5*s[55])/2 - (5*s[56])/2 + 
       10*s[57] - (89*s[58])/18 + (47*s[59])/18 - (371*s[60])/36 - 
       (235*s[61])/162) + HPL[{1}, 1 - u]^5*HPL[{1}, 1 - v]^2*
      ((-67*s[4])/96 + (41*s[5])/88 - (117*s[6])/352 + (20359*s[7])/6336 + 
       (283*s[8])/9504 - (299*s[9])/108 - (1063*s[10])/432 - 
       (13817*s[11])/6336 - (575*s[12])/792 - (2239*s[13])/6336 - 
       (17057*s[14])/6336 - (5681*s[15])/576 - (772*s[16])/99 - 
       (24113*s[17])/2112 + (311*s[18])/324 - (5761*s[19])/2592 - 
       (272731*s[20])/28512 - (265523*s[21])/57024 + (83923*s[22])/57024 - 
       (1819*s[23])/1584 + (40361*s[24])/7128 - (11384*s[25])/8019 + 
       (164413*s[26])/64152 + s[37]/6 + (43*s[39])/96 - (43*s[40])/96 + 
       (79*s[41])/96 - (43*s[42])/96 + (1027*s[43])/1056 + (149*s[44])/704 + 
       (511*s[45])/1056 - (493*s[46])/176 - (11465*s[47])/6336 + 
       (18301*s[48])/6336 - (21925*s[49])/6336 + (193*s[50])/66 - 
       (5801*s[51])/2112 - (11725*s[52])/6336 - (3037*s[53])/792 - 
       (413*s[54])/264 - (166973*s[55])/6336 - (3151*s[56])/704 - 
       (22967*s[57])/792 + (2517*s[58])/704 + (22387*s[59])/6336 + 
       (1647265*s[60])/38016 - (3800*s[61])/2673) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 1 - v]*(-8*s[35] - 4*s[36] - 
       (4*s[61])/3) + D16[w, u, v]*(s[7]/6 + s[8]/9 + s[9]/9 - s[10]/9 + 
       s[11]/6 - (2*s[12])/3 - (5*s[13])/3 + s[14]/6 + (13*s[15])/6 + 
       (5*s[16])/6 + 2*s[17] - (61*s[18])/27 + (58*s[19])/27 + 
       (43*s[20])/54 - (49*s[21])/27 - (5*s[22])/54 + (35*s[23])/6 - 
       (197*s[24])/54 + (439*s[25])/486 + (262*s[26])/243 + s[47]/6 + 
       s[48]/6 + (5*s[49])/6 - s[50] - s[51]/2 + s[52]/3 + (5*s[53])/3 - 
       2*s[54] + (7*s[55])/2 - (5*s[56])/2 + 13*s[57] - (101*s[58])/18 + 
       (59*s[59])/18 - (467*s[60])/36 - (211*s[61])/162) + 
     D20[w, u, v]*(s[4]/2 + s[6]/2 + (9*s[7])/4 - s[8]/2 - 2*s[9] - 
       (11*s[11])/4 - 3*s[12] - (9*s[13])/4 + s[14]/4 - (31*s[15])/12 - 
       4*s[16] - (13*s[17])/4 - s[19]/2 - (7*s[20])/2 - (11*s[21])/12 + 
       (5*s[22])/4 + 2*s[23] + 3*s[24] - (25*s[25])/6 + (11*s[26])/6 - 
       s[39]/2 + s[40]/2 - s[41]/2 + s[42]/2 + s[43]/2 - s[44]/4 + s[45]/2 - 
       3*s[46] + s[47]/4 - s[48]/4 - (7*s[49])/4 + 2*s[50] + s[51]/12 + 
       s[52]/4 - 2*s[53] - (47*s[55])/4 - (9*s[56])/4 + (2*s[57])/3 - 
       (133*s[58])/36 + (169*s[59])/36 + (611*s[60])/24 - (137*s[61])/162) + 
     D8[w, v, u]*((-2*s[18])/3 + (2*s[19])/3 - (2*s[20])/3 - 2*s[21] - 
       s[24] + (49*s[25])/54 + (59*s[26])/54 + s[49] - s[56] - s[58] + 
       s[59] - (19*s[60])/6 - (35*s[61])/54) + 
     D12[v, w, u]*(s[48] - s[55] - s[56] + s[57] - s[58] + (5*s[60])/6 - 
       (17*s[61])/27) + D22[w, u, v]*(s[4] - (15*s[5])/11 + (87*s[6])/22 + 
       (61*s[7])/33 - (7*s[8])/22 + s[9]/2 + 2*s[10] - (293*s[11])/44 - 
       (465*s[12])/44 - (877*s[13])/66 + (113*s[14])/22 + (17*s[15])/3 - 
       (56*s[16])/33 + (905*s[17])/132 + (89*s[18])/18 - (71*s[19])/18 + 
       (1094*s[20])/99 + (1253*s[21])/198 + (28*s[22])/33 - (215*s[23])/132 + 
       (1141*s[24])/132 - (49349*s[25])/3564 + (9137*s[26])/3564 + s[38] - 
       2*s[39] + 2*s[40] - s[41] + 2*s[42] + (31*s[43])/11 - (32*s[44])/11 - 
       (8*s[45])/11 - (72*s[46])/11 - (46*s[47])/33 + (185*s[48])/33 - 
       (401*s[49])/33 + (18*s[50])/11 + (14*s[51])/33 + (19*s[52])/33 + 
       (2*s[53])/33 - (10*s[54])/11 + (37*s[55])/11 - (54*s[56])/11 + 
       (1252*s[57])/33 - (584*s[58])/33 + (544*s[59])/33 + (5428*s[60])/99 - 
       (448*s[61])/891) + D22[v, w, u]*((7*s[5])/11 + (21*s[6])/22 + 
       (226*s[7])/33 - (7*s[8])/22 - (11*s[9])/2 - 2*s[10] - (403*s[11])/44 - 
       (487*s[12])/44 - (349*s[13])/66 - (63*s[14])/22 - 5*s[15] - 
       (353*s[16])/33 - (481*s[17])/132 - (103*s[18])/18 + (67*s[19])/18 - 
       (1744*s[20])/99 - (1849*s[21])/198 + (116*s[22])/33 + 
       (3019*s[23])/132 + (503*s[24])/132 - (29747*s[25])/3564 + 
       (27551*s[26])/3564 + s[38] - 2*s[39] + 2*s[40] - s[41] + 2*s[42] + 
       (31*s[43])/11 - (32*s[44])/11 - (8*s[45])/11 - (72*s[46])/11 - 
       (46*s[47])/33 + (185*s[48])/33 - (401*s[49])/33 + (18*s[50])/11 + 
       (14*s[51])/33 + (19*s[52])/33 + (2*s[53])/33 - (10*s[54])/11 + 
       (37*s[55])/11 - (54*s[56])/11 + (1252*s[57])/33 - (584*s[58])/33 + 
       (544*s[59])/33 + (5428*s[60])/99 - (448*s[61])/891) + 
     D11[v, w, u]*(2*s[23] - (2*s[24])/3 - 2*s[56] + (4*s[57])/3 - 
       (2*s[58])/9 + (2*s[59])/9 - (10*s[60])/3 - (29*s[61])/81) + 
     D2[w, v, u]*(s[37] - s[61]/3) + D1[v, w, u]*(2*s[57] - s[61]/3) + 
     D13[v, w, u]*(2*s[15] + s[16] + s[17] + s[18]/3 - s[19]/3 + 
       (4*s[20])/3 + (7*s[21])/3 - 2*s[23] - (25*s[25])/27 - (38*s[26])/27 + 
       s[37] + s[49] + s[51] + 2*s[54] + 4*s[55] - s[56] + s[58] - 3*s[59] - 
       (5*s[60])/2 - s[61]/3) + D10[v, w, u]*(s[52] + 2*s[53] + 6*s[55] + 
       2*s[57] - (4*s[58])/3 - (5*s[59])/3 + (10*s[60])/3 - (7*s[61])/27) + 
     B2[v, w, u]*HPL[{1}, 1 - v]*(s[52] + 2*s[53] + 6*s[55] + 2*s[57] - 
       (4*s[58])/3 - (5*s[59])/3 + (10*s[60])/3 - (7*s[61])/27) + 
     B2[w, v, u]*HPL[{1}, 1 - v]*(-s[5] - s[11] - 3*s[12] - 3*s[13] + s[14] + 
       6*s[15] + 3*s[16] + 7*s[17] + 2*s[20] + 2*s[21] + s[22]/3 - 9*s[23] - 
       s[24]/3 - (58*s[25])/27 + (4*s[26])/27 + s[52] + 2*s[53] + 6*s[55] + 
       2*s[57] - (4*s[58])/3 - (5*s[59])/3 + (10*s[60])/3 - (7*s[61])/27) + 
     D10[w, v, u]*(-s[5] - s[11] - 3*s[12] - 3*s[13] + s[14] + 6*s[15] + 
       3*s[16] + 8*s[17] + 2*s[20] + 2*s[21] + s[22]/3 - 9*s[23] - s[24]/3 - 
       (58*s[25])/27 + (4*s[26])/27 + s[52] + 2*s[53] + 6*s[55] + 2*s[57] - 
       (4*s[58])/3 - (5*s[59])/3 + (10*s[60])/3 - (7*s[61])/27) + 
     D10[u, w, v]*(2*s[57] - (2*s[58])/3 + (2*s[59])/3 - (7*s[60])/3 - 
       (2*s[61])/9) + D16[u, v, w]*(-s[18]/3 + s[19]/3 + (2*s[20])/3 - 
       (8*s[25])/27 + (8*s[26])/27 + 2*s[54] - (2*s[60])/3 - (4*s[61])/27) + 
     B4[u, v, w]*HPL[{1}, 1 - v]*(-s[18]/3 + s[19]/3 + (2*s[20])/3 - 
       (8*s[25])/27 + (8*s[26])/27 + 2*s[54] - (2*s[60])/3 - (4*s[61])/27) + 
     D9[u, v, w]*(2*s[54] + (2*s[58])/3 + s[59]/3 + (2*s[60])/3 - 
       (4*s[61])/27) + B4[v, w, u]*HPL[{1}, 1 - v]*(2*s[54] + (2*s[58])/3 + 
       s[59]/3 + (2*s[60])/3 - (4*s[61])/27) + 
     D9[u, w, v]*(s[13] + s[18]/3 - s[19]/3 - (2*s[20])/3 + s[23] + 
       (2*s[24])/3 - (4*s[25])/27 + (4*s[26])/27 + 2*s[54] + (2*s[58])/3 + 
       s[59]/3 + (2*s[60])/3 - (4*s[61])/27) + B4[w, u, v]*HPL[{1}, 1 - v]*
      (s[13] + s[18]/3 - s[19]/3 - (2*s[20])/3 + s[23] + (2*s[24])/3 - 
       (4*s[25])/27 + (4*s[26])/27 + 2*s[54] + (2*s[58])/3 + s[59]/3 + 
       (2*s[60])/3 - (4*s[61])/27) + B2[u, v, w]*HPL[{1}, 1 - u]*
      ((2*s[8])/3 + (2*s[9])/3 + s[10]/3 + s[13] - s[14] - s[16] - 2*s[17] - 
       (2*s[18])/9 - (4*s[19])/9 - (8*s[20])/9 - (2*s[21])/9 - (2*s[22])/9 + 
       3*s[23] + s[24]/9 + (37*s[25])/81 - (19*s[26])/81 - (2*s[57])/3 + 
       (4*s[58])/9 - (4*s[59])/9 - s[60] - (11*s[61])/81) + 
     D11[w, u, v]*(s[59] - s[61]/9) + B2[v, u, w]*HPL[{1}, 1 - v]*
      (s[59] - s[61]/9) + D11[v, u, w]*((-2*s[21])/3 - s[25]/9 + 
       (7*s[26])/9 + s[59] - s[61]/9) + B2[w, u, v]*HPL[{1}, 1 - v]*
      ((-2*s[21])/3 - s[25]/9 + (7*s[26])/9 + s[59] - s[61]/9) + 
     D24[v, w, u]*(2*s[15] + s[16] + s[17] + s[18]/3 - s[19]/3 + 
       (4*s[20])/3 + (7*s[21])/3 - 2*s[23] - (25*s[25])/27 - (38*s[26])/27 + 
       s[49] + s[51] + 2*s[54] + 4*s[55] - s[56] + s[58] - 3*s[59] - 
       (5*s[60])/2 - s[61]/9) + D24[w, u, v]*(s[13] + s[17] - s[18]/3 + 
       s[19]/3 - s[20]/3 + (2*s[21])/3 - (5*s[25])/27 - (13*s[26])/27 + 
       s[49] + s[51] + 2*s[54] + 4*s[55] - s[56] + s[58] - 3*s[59] - 
       (5*s[60])/2 - s[61]/9) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^5*
      HPL[{1}, 1 - w]*(-s[5]/8 - s[11]/8 - (3*s[12])/8 - (3*s[13])/8 + 
       s[14]/8 + (3*s[15])/4 + (3*s[16])/8 + (7*s[17])/8 + s[20]/4 + 
       s[21]/6 - (9*s[23])/8 - s[24]/24 - (11*s[25])/72 + s[26]/9 + 
       s[44]/10 + s[52]/4 + s[53]/2 + (3*s[55])/2 + s[56]/4 + s[57]/2 - 
       s[58]/3 - s[59]/6 + (5*s[60])/6 - s[61]/12) + 
     D8[v, u, w]*(-s[4] - s[10] + (2*s[18])/3 - (2*s[19])/3 + (2*s[20])/3 + 
       s[21] - s[23] + s[24]/3 - (11*s[25])/27 - (16*s[26])/27 + s[41] - 
       s[57] + s[58]/3 - s[59]/3 + (5*s[60])/6 - (2*s[61])/27) + 
     D4[v, w, u]*(s[22]/3 - (28*s[25])/27 + s[26]/27 - s[61]/27) + 
     B1[v, u, w]*HPL[{1}, 1 - v]*(s[22]/3 - (28*s[25])/27 + s[26]/27 - 
       s[61]/27) + D11[w, v, u]*(s[4] + (2*s[8])/3 + (2*s[9])/3 + s[10]/3 + 
       s[13] - s[14] - s[16] - 2*s[17] - (2*s[18])/9 - (4*s[19])/9 - 
       (8*s[20])/9 - (2*s[21])/9 - (2*s[22])/9 + 3*s[23] + s[24]/9 + 
       (37*s[25])/81 - (19*s[26])/81 - (5*s[57])/3 + (7*s[58])/9 - 
       (7*s[59])/9 + s[60]/6 - (2*s[61])/81) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^5*((3*s[37])/10 + s[61]/90) + 
     HPL[{1}, 1 - u]^5*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      (s[8]/12 + s[9]/12 + s[10]/24 + s[13]/8 - s[14]/8 - s[15]/8 - s[16]/8 - 
       s[17]/4 - s[18]/36 - s[19]/18 - s[20]/9 + s[21]/72 - s[22]/36 + 
       (3*s[23])/8 + s[24]/18 + (47*s[25])/1296 - (65*s[26])/1296 + 
       (3*s[37])/10 + s[44]/10 + s[52]/8 + s[55]/8 - (5*s[57])/24 + 
       (5*s[58])/36 - (5*s[59])/36 - s[60]/12 + (247*s[61])/6480) + 
     D5[v, w, u]*(s[35] + s[61]/18) + D8[v, w, u]*(s[50] + s[56] - 2*s[57] - 
       s[58]/3 + s[59]/3 - (13*s[60])/6 + (5*s[61])/54) + 
     D12[w, v, u]*(s[7] - (2*s[8])/3 - (2*s[9])/3 + (2*s[10])/3 - s[11] - 
       2*s[12] - 2*s[13] - s[14] + s[15] + s[17] + (2*s[18])/9 + 
       (4*s[19])/9 - s[20]/9 + (14*s[21])/9 + (5*s[22])/9 - 3*s[23] + 
       (8*s[24])/9 - (175*s[25])/81 - (32*s[26])/81 + s[47] + s[51] + s[55] + 
       (2*s[57])/3 - (4*s[58])/9 - (14*s[59])/9 + 4*s[60] + (8*s[61])/81) + 
     D14[v, w, u]*(3*s[37] + s[61]/9) + D10[w, u, v]*
      ((2*s[21])/3 + (2*s[24])/3 - s[25]/3 - s[26]/3 + s[52] - 2*s[57] + 
       (4*s[58])/3 - (4*s[59])/3 + (2*s[60])/3 + s[61]/9) + 
     B2[w, u, v]*HPL[{1}, 1 - u]*((2*s[21])/3 + (2*s[24])/3 - s[25]/3 - 
       s[26]/3 + s[52] - 2*s[57] + (4*s[58])/3 - (4*s[59])/3 + (2*s[60])/3 + 
       s[61]/9) + D10[u, v, w]*(s[18] - s[23] + s[24]/3 - 2*s[56] - s[57] + 
       s[58]/3 - s[59]/3 + (7*s[60])/6 + s[61]/9) + 
     D9[w, v, u]*(-2*s[54] + s[57] - (2*s[58])/3 - s[59]/3 - (2*s[60])/3 + 
       (4*s[61])/27) + D9[w, u, v]*(s[18]/3 - s[19]/3 - (2*s[20])/3 + 
       (8*s[25])/27 - (8*s[26])/27 - 2*s[54] + s[57] + (2*s[60])/3 + 
       (4*s[61])/27) + D2[u, v, w]*(s[37] + (7*s[61])/27) + 
     B2[w, v, u]*HPL[{1}, 1 - u]*(-s[21]/3 - s[24]/3 + s[25]/6 + s[26]/6 + 
       s[57] - (2*s[58])/3 + (2*s[59])/3 - s[60]/3 + (5*s[61])/18) + 
     D11[u, v, w]*(s[16] - s[21]/3 - s[24]/3 + s[25]/6 + s[26]/6 + s[57] - 
       (2*s[58])/3 + (2*s[59])/3 + (2*s[60])/3 + (5*s[61])/18) + 
     D10[v, u, w]*(-3*s[23] + s[24] + s[52] - 3*s[57] + 2*s[58] - 3*s[59] + 
       s[60] + (5*s[61])/18) + D1[u, w, v]*(s[3] + (2*s[21])/3 + s[22] - 
       2*s[23] + (2*s[24])/3 - s[25]/3 - s[26]/3 + s[45] - 2*s[57] + 
       (2*s[58])/3 - (2*s[59])/3 + (7*s[60])/3 + (5*s[61])/9) + 
     D18[u, v, w]*(s[4]/2 - s[5]/2 - (3*s[7])/4 - s[8]/3 + (7*s[9])/6 + 
       (5*s[10])/6 + s[11]/4 - s[12]/2 - (3*s[13])/4 + (15*s[14])/4 + 
       (23*s[15])/12 + (3*s[16])/2 + (13*s[17])/4 + (17*s[18])/18 - 
       (11*s[19])/18 + (95*s[20])/18 + (103*s[21])/36 - (17*s[22])/36 + 
       (11*s[23])/2 - (7*s[24])/18 - (425*s[25])/324 - (259*s[26])/324 - 
       s[39]/2 + s[40]/2 - s[41]/2 + (3*s[42])/2 + s[43]/2 - s[44]/4 - 
       s[45]/2 + s[47]/4 - s[48]/4 - (7*s[49])/4 + s[51]/12 + s[52]/4 + 
       (47*s[55])/12 + (7*s[56])/4 + (22*s[57])/3 - (29*s[58])/36 + 
       (65*s[59])/36 - (65*s[60])/24 + (119*s[61])/162) + 
     D11[u, w, v]*(3*s[23] - s[24] + 3*s[57] - 2*s[58] + s[59] - 2*s[60] + 
       (41*s[61])/54) + D21[v, w, u]*(-s[5] - s[6] - s[7]/6 - (2*s[8])/9 - 
       (2*s[9])/9 - (7*s[10])/9 - s[11]/3 - (7*s[12])/6 - (5*s[13])/2 + 
       (19*s[14])/6 + (25*s[15])/6 + 3*s[16] + (16*s[17])/3 + (53*s[18])/27 - 
       (47*s[19])/27 + (113*s[20])/27 + (199*s[21])/54 + (19*s[22])/54 - 
       (27*s[23])/2 + (79*s[24])/54 - (1055*s[25])/486 - (655*s[26])/486 - 
       s[49] + 2*s[50] - 4*s[54] + 4*s[56] - (16*s[57])/3 + (17*s[58])/9 - 
       (17*s[59])/9 + (61*s[60])/6 + (80*s[61])/81) + (D1[u, v, w]*s[61])/3 + 
     (D1[w, v, u]*s[61])/3 - (D3[w, u, v]*s[61])/27 + D4[u, v, w]*s[61] - 
     (D4[w, v, u]*s[61])/27 + (11*D5[v, u, w]*s[61])/27 + 
     (D7[v, u, w]*s[61])/27 - (B1[w, u, v]*HPL[{1}, 1 - u]*s[61])/27 - 
     (B2[v, u, w]*HPL[{1}, 1 - u]*s[61])/9 + 
     (2*B2[v, w, u]*HPL[{1}, 1 - u]*s[61])/27 + 
     (B3[w, u, v]*HPL[{1}, 1 - u]*s[61])/3 - 
     (B1[w, u, v]*HPL[{1}, 1 - v]*s[61])/27 + D3[u, w, v]*(s[36] + s[61]) + 
     D21[w, u, v]*(-s[4] - s[6] + s[7]/6 - (4*s[8])/9 - (4*s[9])/9 - 
       (14*s[10])/9 + s[11]/3 + (7*s[12])/6 + (3*s[13])/2 + (11*s[14])/6 - 
       (25*s[15])/6 - 2*s[16] - (10*s[17])/3 + (43*s[18])/27 - 
       (58*s[19])/27 + s[20]/27 + (65*s[21])/54 + (11*s[22])/54 - 
       (5*s[23])/2 + (113*s[24])/54 - (175*s[25])/486 - (491*s[26])/486 + 
       s[41] - 3*s[49] + 3*s[50] - 8*s[54] + 8*s[56] - (16*s[57])/3 + 
       (23*s[58])/9 - (23*s[59])/9 + (79*s[60])/6 + (92*s[61])/81) + 
     D21[u, v, w]*(-s[6] - s[7]/6 - s[10] + s[12]/2 + (5*s[13])/6 + 
       (3*s[14])/2 - (5*s[15])/2 - (8*s[16])/3 - (10*s[17])/3 + 
       (11*s[18])/9 - (20*s[19])/9 - (10*s[20])/9 + (5*s[21])/18 + s[22]/6 - 
       (31*s[23])/6 + (29*s[24])/6 - (49*s[25])/162 - (77*s[26])/162 - 
       s[47]/3 - s[48]/3 - (8*s[49])/3 + 2*s[50] - s[51] + (4*s[52])/3 - 
       (4*s[53])/3 - 4*s[54] - 9*s[55] + 4*s[56] - (53*s[57])/3 + 8*s[58] - 
       (10*s[59])/3 + (181*s[60])/9 + (193*s[61])/162) + 
     B11[v, w, u]*HPL[{1}, 1 - u]*(-2*s[35] + 2*s[36] + (38*s[61])/27) + 
     D15[v, w, u]*(s[38] + 2*s[46] + 2*s[56] - s[57] + 2*s[58] + 
       (2*s[60])/3 + (3*s[61])/2) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^5*
      ((-11*s[4])/32 - (29*s[5])/176 - (593*s[6])/352 - (8065*s[7])/2112 - 
       (487*s[8])/3168 + (199*s[9])/72 + (79*s[10])/144 + 
       (10559*s[11])/2112 + (5609*s[12])/1056 + (11731*s[13])/2112 + 
       (5537*s[14])/2112 + (931*s[15])/192 + (6965*s[16])/1056 + 
       (4047*s[17])/704 - (509*s[18])/432 + (1789*s[19])/864 + 
       (54937*s[20])/9504 + (31895*s[21])/19008 - (36175*s[22])/19008 + 
       (1505*s[23])/264 - (2395*s[24])/297 + (595495*s[25])/85536 - 
       (265699*s[26])/85536 - s[37]/6 - s[38]/2 + (11*s[39])/32 - 
       (11*s[40])/32 + (11*s[41])/32 - s[42]/32 - (469*s[43])/352 + 
       (491*s[44])/704 - (237*s[45])/352 + (853*s[46])/176 + 
       (1031*s[47])/2112 - (5899*s[48])/2112 + (9007*s[49])/2112 - 
       (251*s[50])/88 - (301*s[51])/704 - (461*s[52])/2112 + 
       (845*s[53])/528 - (69*s[54])/44 + (31643*s[55])/2112 + 
       (4363*s[56])/704 + (1383*s[57])/176 + (28667*s[58])/6336 - 
       (29111*s[59])/6336 - (677431*s[60])/12672 + (609*s[61])/352) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - w]*
      (-s[1]/6 - s[4]/3 + (9*s[5])/11 + (30*s[6])/11 + (311*s[7])/396 + 
       (3793*s[8])/1188 + (29*s[9])/108 - (137*s[10])/108 - (899*s[11])/792 + 
       (359*s[12])/198 - (3337*s[13])/792 - (7745*s[14])/792 - 
       (83*s[15])/12 - (2047*s[16])/792 - (1889*s[17])/264 + 
       (967*s[18])/324 - (635*s[19])/162 - (12901*s[20])/3564 - 
       (21083*s[21])/7128 - (1739*s[22])/7128 - (25021*s[23])/792 + 
       (68845*s[24])/7128 + (30803*s[25])/32076 + (9406*s[26])/8019 - 
       2*s[37] + (4*s[38])/3 + s[39] - s[40] + s[41]/3 - (8*s[42])/3 + 
       (85*s[43])/33 - (293*s[44])/88 + (7*s[45])/11 - (31*s[46])/33 - 
       (2147*s[47])/792 + (5905*s[48])/792 - (4405*s[49])/792 + 
       (5*s[50])/33 + (443*s[51])/792 + (503*s[52])/792 + (1937*s[53])/396 + 
       (62*s[54])/33 + (7613*s[55])/792 - (857*s[56])/264 - 
       (8773*s[57])/198 + (6929*s[58])/792 - (9697*s[59])/792 + 
       (297439*s[60])/4752 + (14551*s[61])/5346) + 
     D22[u, v, w]*((-15*s[5])/11 - (23*s[6])/22 - (368*s[7])/33 + 
       (23*s[8])/66 + (61*s[9])/6 + (13*s[10])/3 + (389*s[11])/44 + 
       (195*s[12])/44 + (113*s[13])/66 + (62*s[14])/11 + 26*s[15] + 
       (703*s[16])/33 + (3809*s[17])/132 + s[18]/18 + (77*s[19])/18 + 
       (5147*s[20])/198 + (215*s[21])/22 - (1031*s[22])/198 - 
       (83*s[23])/132 - (6301*s[24])/396 + (12341*s[25])/1188 - 
       (9047*s[26])/1188 - (24*s[43])/11 - (9*s[44])/22 - (30*s[45])/11 + 
       (126*s[46])/11 + (20*s[47])/33 + (20*s[48])/33 + (160*s[49])/33 - 
       (103*s[50])/11 + (12*s[51])/11 + (5*s[52])/66 + (398*s[53])/33 - 
       (10*s[54])/11 + (796*s[55])/11 + (78*s[56])/11 + (1835*s[57])/33 - 
       (377*s[58])/99 - (931*s[59])/99 - (10775*s[60])/99 + 
       (2015*s[61])/594) + HPL[{1}, 1 - w]^5*HPL[{0, 1}, 1 - u]*
      ((-11*s[4])/16 - (29*s[5])/88 - (593*s[6])/176 - (8065*s[7])/1056 - 
       (487*s[8])/1584 + (199*s[9])/36 + (79*s[10])/72 + (10559*s[11])/1056 + 
       (5609*s[12])/528 + (11731*s[13])/1056 + (5537*s[14])/1056 + 
       (931*s[15])/96 + (6965*s[16])/528 + (4047*s[17])/352 - 
       (509*s[18])/216 + (1789*s[19])/432 + (54937*s[20])/4752 + 
       (31895*s[21])/9504 - (36175*s[22])/9504 + (1505*s[23])/132 - 
       (4790*s[24])/297 + (595495*s[25])/42768 - (265699*s[26])/42768 - 
       s[37]/3 - s[38] + (11*s[39])/16 - (11*s[40])/16 + (11*s[41])/16 - 
       s[42]/16 - (469*s[43])/176 + (491*s[44])/352 - (237*s[45])/176 + 
       (853*s[46])/88 + (1031*s[47])/1056 - (5899*s[48])/1056 + 
       (9007*s[49])/1056 - (251*s[50])/44 - (301*s[51])/352 - 
       (461*s[52])/1056 + (845*s[53])/264 - (69*s[54])/22 + 
       (31643*s[55])/1056 + (4363*s[56])/352 + (1383*s[57])/88 + 
       (28667*s[58])/3168 - (29111*s[59])/3168 - (677431*s[60])/6336 + 
       (609*s[61])/176) + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 1}, 1 - w]*
      (4*s[3] - 64*s[9] + (136*s[21])/3 + 4*s[22] - 8*s[23] + (136*s[24])/3 - 
       (68*s[25])/3 - (68*s[26])/3 + 16*s[40] + 4*s[45] - 144*s[57] + 
       88*s[58] - 88*s[59] + 52*s[60] + (16*s[61])/3) + 
     HPL[{1}, 1 - u]^2*Nt[u, v, w]*((23*s[4])/24 - (213*s[5])/88 - 
       (83*s[6])/88 - (15745*s[7])/792 + (1391*s[8])/1188 + (3893*s[9])/216 + 
       (911*s[10])/108 + (27859*s[11])/1584 + (22817*s[12])/1584 + 
       (4399*s[13])/792 + (9479*s[14])/792 + (1399*s[15])/36 + 
       (14579*s[16])/396 + (21743*s[17])/528 + (727*s[18])/162 + 
       (1937*s[19])/648 + (177799*s[20])/3564 + (143375*s[21])/7128 - 
       (72097*s[22])/7128 - (5905*s[23])/1584 - (317825*s[24])/14256 + 
       (1205585*s[25])/64152 - (935009*s[26])/64152 - (5*s[39])/24 + 
       (5*s[40])/24 - (23*s[41])/24 - (5*s[42])/12 - (17*s[43])/264 - 
       (53*s[44])/176 - (1223*s[45])/264 + (211*s[46])/11 - 
       (683*s[47])/1584 + (1363*s[48])/1584 + (47*s[49])/1584 - 
       (1103*s[50])/66 - (339*s[51])/176 - (139*s[52])/1584 + 
       (6097*s[53])/396 - (85*s[54])/22 + (167635*s[55])/1584 + 
       (12799*s[56])/528 + (4799*s[57])/88 + (61813*s[58])/4752 - 
       (91969*s[59])/4752 - (1606919*s[60])/9504 + (31589*s[61])/2673) + 
     D20[v, w, u]*((-3*s[4])/2 - s[5] - (5*s[6])/2 - (247*s[7])/12 + 
       (13*s[8])/6 + (50*s[9])/3 + (16*s[10])/3 + (83*s[11])/4 + 21*s[12] + 
       (143*s[13])/12 + (11*s[14])/4 + (383*s[15])/12 + (107*s[16])/3 + 
       (379*s[17])/12 + (29*s[18])/9 + (65*s[19])/18 + (727*s[20])/18 + 
       (175*s[21])/12 - (365*s[22])/36 - (70*s[23])/3 - (203*s[24])/9 + 
       (725*s[25])/27 - (410*s[26])/27 + (3*s[39])/2 - (3*s[40])/2 + 
       (3*s[41])/2 - (5*s[42])/2 - (3*s[43])/2 + (7*s[44])/4 - (7*s[45])/2 + 
       23*s[46] - (5*s[47])/12 + (13*s[48])/12 + (71*s[49])/12 - 18*s[50] - 
       (19*s[51])/12 - (13*s[52])/12 + (46*s[53])/3 - 4*s[54] + 
       (1183*s[55])/12 + (99*s[56])/4 + (31*s[57])/3 + (1019*s[58])/36 - 
       (1151*s[59])/36 - (12971*s[60])/72 + (223*s[61])/18) + 
     D20[u, v, w]*((-3*s[4])/2 - s[5] - (5*s[6])/2 - (247*s[7])/12 + 
       (41*s[8])/18 + (151*s[9])/9 + (47*s[10])/9 + (251*s[11])/12 + 
       (64*s[12])/3 + (145*s[13])/12 + (35*s[14])/12 + (391*s[15])/12 + 
       (215*s[16])/6 + (127*s[17])/4 + (86*s[18])/27 + (191*s[19])/54 + 
       (2191*s[20])/54 + (1589*s[21])/108 - (1105*s[22])/108 - 
       (139*s[23])/6 - (1235*s[24])/54 + (6581*s[25])/243 - 
       (3737*s[26])/243 + (3*s[39])/2 - (3*s[40])/2 + (3*s[41])/2 - 
       (5*s[42])/2 - (3*s[43])/2 + (5*s[44])/4 - (7*s[45])/2 + 23*s[46] - 
       (7*s[47])/12 + (11*s[48])/12 + (73*s[49])/12 - 18*s[50] - 
       (17*s[51])/12 - (11*s[52])/12 + (47*s[53])/3 - 4*s[54] + 
       (399*s[55])/4 + (101*s[56])/4 + 11*s[57] + (1013*s[58])/36 - 
       (1169*s[59])/36 - (12985*s[60])/72 + (2045*s[61])/162) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u]*(64*s[4] + 16*s[40] - 
       128*s[57] + (128*s[58])/3 - (128*s[59])/3 + (448*s[60])/3 + 
       (128*s[61])/9) + HPL[{1}, 1 - v]^2*M1[u, v, w]*
      (-s[4]/6 - (185*s[5])/44 - (1187*s[6])/176 - (34723*s[7])/792 + 
       (11321*s[8])/4752 + (17113*s[9])/432 + (1349*s[10])/108 + 
       (145175*s[11])/3168 + (150991*s[12])/3168 + (39107*s[13])/1584 + 
       (27055*s[14])/1584 + (1055*s[15])/18 + (7523*s[16])/99 + 
       (22131*s[17])/352 + (26045*s[18])/1296 - (9641*s[19])/1296 + 
       (90589*s[20])/891 + (734017*s[21])/14256 - (165745*s[22])/7128 - 
       (246569*s[23])/3168 - (929485*s[24])/28512 + (12095957*s[25])/256608 - 
       (10519121*s[26])/256608 - (7*s[38])/6 + (63*s[39])/8 - (63*s[40])/8 + 
       (101*s[41])/12 - (145*s[42])/12 - (1127*s[43])/264 + 
       (2909*s[44])/528 - (289*s[45])/88 + (5839*s[46])/132 - 
       (6401*s[47])/1584 + (6337*s[48])/1584 + (32843*s[49])/1584 - 
       (681*s[50])/22 - (3097*s[51])/528 - (10927*s[52])/1584 + 
       (8401*s[53])/396 - (73*s[54])/11 + (65173*s[55])/528 + 
       (23501*s[56])/528 - (25117*s[57])/198 + (446123*s[58])/4752 - 
       (431873*s[59])/4752 - (2775041*s[60])/9504 + (98965*s[61])/4752) + 
     HPL[{1}, 1 - u]^3*Omega2[v, w, u]*((23*s[4])/12 - (189*s[5])/44 - 
       (69*s[6])/44 - (3427*s[7])/99 + (1229*s[8])/594 + (3407*s[9])/108 + 
       (803*s[10])/54 + (24187*s[11])/792 + (19829*s[12])/792 + 
       (3679*s[13])/396 + (8507*s[14])/396 + (2447*s[15])/36 + 
       (25315*s[16])/396 + (18907*s[17])/264 + (673*s[18])/81 + 
       (1505*s[19])/324 + (155983*s[20])/1782 + (127067*s[21])/3564 - 
       (62971*s[22])/3564 - (4663*s[23])/792 - (271151*s[24])/7128 + 
       (1034999*s[25])/32076 - (820313*s[26])/32076 - (5*s[39])/12 + 
       (5*s[40])/12 - (23*s[41])/12 - (5*s[42])/6 + (19*s[43])/132 - 
       (65*s[44])/88 - (1079*s[45])/132 + (365*s[46])/11 - (875*s[47])/792 + 
       (1171*s[48])/792 - (961*s[49])/792 - (953*s[50])/33 - 
       (1097*s[51])/264 - (31*s[52])/792 + (2627*s[53])/99 - (254*s[54])/33 + 
       (144763*s[55])/792 + (3829*s[56])/88 + (37243*s[57])/396 + 
       (6181*s[58])/264 - (26363*s[59])/792 - (1381031*s[60])/4752 + 
       (56174*s[61])/2673) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[w, u, v]*
      ((-23*s[4])/8 - (39*s[5])/44 - (339*s[6])/44 - (8599*s[7])/528 + 
       (401*s[8])/396 + (851*s[9])/72 - (13*s[10])/9 + (5531*s[11])/264 + 
       (14039*s[12])/528 + (4051*s[13])/176 + (5989*s[14])/528 + 
       (661*s[15])/48 + (973*s[16])/44 + (1691*s[17])/132 + (853*s[18])/216 - 
       (163*s[19])/54 + (17141*s[20])/594 + (79213*s[21])/4752 - 
       (36977*s[22])/4752 - (2137*s[23])/176 - (86363*s[24])/4752 + 
       (1155025*s[25])/42768 - (881767*s[26])/42768 - (3*s[38])/2 - 
       (3*s[39])/8 + (3*s[40])/8 - (5*s[41])/8 + (43*s[42])/8 - 
       (127*s[43])/88 + (347*s[44])/176 - (695*s[45])/88 + (1355*s[46])/44 + 
       (923*s[47])/528 - (2971*s[48])/528 + (1675*s[49])/528 - 
       (106*s[50])/11 + (3373*s[51])/528 - (1481*s[52])/528 + 
       (1279*s[53])/132 - (497*s[54])/22 + (68767*s[55])/528 + 
       (36241*s[56])/528 + (7229*s[57])/396 + (248381*s[58])/4752 - 
       (232325*s[59])/4752 - (821827*s[60])/3168 + (236585*s[61])/10692) + 
     F1[u, v, w]*Phi6[u, v, w]*((-3*s[2])/2 - 5*s[3] + (11*s[4])/4 - 4*s[5] - 
       (13*s[6])/4 - (137*s[7])/12 - (161*s[8])/36 + (115*s[9])/9 + 
       (485*s[10])/36 + (139*s[11])/24 - (151*s[12])/24 - (61*s[13])/4 + 
       (913*s[14])/24 + (117*s[15])/4 + (123*s[16])/4 + (172*s[17])/3 + 
       (2561*s[18])/108 - (1565*s[19])/108 + (15781*s[20])/216 + 
       (10219*s[21])/216 - (421*s[22])/108 - 30*s[23] + (1013*s[24])/108 - 
       (32975*s[25])/1944 - (18401*s[26])/972 + s[32]/2 + (3*s[37])/2 + 
       3*s[38] - 7*s[39] + 4*s[40] - s[41] + (79*s[42])/8 + 7*s[43] - 
       (23*s[44])/8 - 7*s[45] + (17*s[47])/6 - (2*s[48])/3 - (683*s[49])/24 - 
       6*s[50] + (127*s[51])/24 + (91*s[52])/24 + (369*s[55])/8 + 
       (761*s[56])/24 + (1027*s[57])/72 + (1271*s[58])/108 - 
       (317*s[59])/108 + (3671*s[60])/144 + (21725*s[61])/972) + 
     B10[u, v, w]*HPL[{1}, 1 - v]*(-4*s[4] - 2*s[5] - s[6] - (407*s[7])/6 + 
       (14*s[8])/3 + (173*s[9])/3 + (73*s[10])/3 + (149*s[11])/2 + 79*s[12] + 
       (271*s[13])/6 - (3*s[14])/2 + (601*s[15])/6 + (356*s[16])/3 + 
       (587*s[17])/6 + (47*s[18])/9 + (226*s[19])/9 + (1142*s[20])/9 + 
       (235*s[21])/6 - (637*s[22])/18 - (148*s[23])/3 - (812*s[24])/9 + 
       (5287*s[25])/54 - (2515*s[26])/54 - 4*s[38] + 10*s[39] - 10*s[40] + 
       8*s[41] - 12*s[42] - 10*s[43] + 9*s[44] - 10*s[45] + 76*s[46] - 
       (5*s[47])/3 - (11*s[48])/3 + (167*s[49])/3 - 70*s[50] - (25*s[51])/3 - 
       (13*s[52])/3 + (136*s[53])/3 + 20*s[54] + 277*s[55] + 37*s[56] + 
       (10*s[57])/3 + (809*s[58])/9 - (959*s[59])/9 - (12827*s[60])/18 + 
       (664*s[61])/27) + HPL[{1}, 1 - v]^2*M1[w, v, u]*
      ((-2*s[4])/3 - (131*s[5])/22 - (125*s[6])/22 - (10603*s[7])/198 + 
       (1939*s[8])/594 + (1306*s[9])/27 + (907*s[10])/54 + (5206*s[11])/99 + 
       (19043*s[12])/396 + (9785*s[13])/396 + (8191*s[14])/396 + 
       (790*s[15])/9 + (37451*s[16])/396 + (2037*s[17])/22 + 
       (1208*s[18])/81 + (247*s[19])/81 + (221009*s[20])/1782 + 
       (198841*s[21])/3564 - (99191*s[22])/3564 - (10673*s[23])/198 - 
       (94993*s[24])/1782 + (913199*s[25])/16038 - (350782*s[26])/8019 - 
       s[37]/2 - s[38]/6 + 5*s[39] - 5*s[40] + (14*s[41])/3 - (25*s[42])/3 - 
       (112*s[43])/33 + (323*s[44])/132 - (87*s[45])/11 + (1831*s[46])/33 - 
       (1163*s[47])/396 + (2467*s[48])/396 + (5843*s[49])/396 - 
       (478*s[50])/11 - (557*s[51])/132 - (1783*s[52])/396 + 
       (7253*s[53])/198 - (84*s[54])/11 + (30563*s[55])/132 + 
       (7517*s[56])/132 - (563*s[57])/99 + (92729*s[58])/1188 - 
       (103373*s[59])/1188 - (1010519*s[60])/2376 + (33665*s[61])/1188) + 
     HPL[{1}, 1 - u]^2*M1[v, u, w]*((-13*s[4])/12 - (193*s[5])/44 - 
       (207*s[6])/44 - (6145*s[7])/99 + (6373*s[8])/1188 + (2797*s[9])/54 + 
       (2389*s[10])/108 + (23339*s[11])/396 + (42239*s[12])/792 + 
       (24329*s[13])/792 + (14665*s[14])/792 + (4271*s[15])/36 + 
       (93953*s[16])/792 + (1372*s[17])/11 + (250*s[18])/81 + 
       (2935*s[19])/162 + (480707*s[20])/3564 + (383023*s[21])/7128 - 
       (217985*s[22])/7128 - (4082*s[23])/99 - (140699*s[24])/1782 + 
       (4570675*s[25])/64152 - (3039217*s[26])/64152 + s[35] - s[36] - 
       s[37] + (25*s[39])/12 - (25*s[40])/12 + (7*s[41])/12 - (16*s[42])/3 - 
       (1043*s[43])/132 + (75*s[44])/22 - (1433*s[45])/132 + (732*s[46])/11 + 
       (991*s[47])/198 - (3727*s[48])/396 + (3007*s[49])/99 - 
       (1814*s[50])/33 + (769*s[51])/132 + (1675*s[52])/396 + 
       (20975*s[53])/396 + (10*s[54])/11 + (68953*s[55])/198 + 
       (10229*s[56])/132 + (18763*s[57])/132 + (31093*s[58])/594 - 
       (112589*s[59])/1188 - (182978*s[60])/297 + (704093*s[61])/21384) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 0, 1}, 1 - u]*(3*s[2] - s[4]/6 - 
       (137*s[5])/11 - (2007*s[6])/88 - (36947*s[7])/396 + (925*s[8])/2376 + 
       (19601*s[9])/216 + (602*s[10])/27 + (174871*s[11])/1584 + 
       (189923*s[12])/1584 + (55309*s[13])/792 + (19649*s[14])/792 + 
       (1781*s[15])/18 + (63785*s[16])/396 + (19739*s[17])/176 + 
       (36961*s[18])/648 - (21109*s[19])/648 + (372479*s[20])/1782 + 
       (907631*s[21])/7128 - (95185*s[22])/1782 - (402481*s[23])/1584 - 
       (687773*s[24])/14256 + (13852957*s[25])/128304 - 
       (12662401*s[26])/128304 - (17*s[38])/3 + (133*s[39])/4 - 
       (133*s[40])/4 + (104*s[41])/3 - (299*s[42])/6 - (1405*s[43])/132 + 
       (5101*s[44])/264 + (81*s[45])/44 + (6467*s[46])/66 - 
       (15097*s[47])/792 + (19685*s[48])/792 + (55939*s[49])/792 - 
       (720*s[50])/11 - (6229*s[51])/264 - (22475*s[52])/792 + 
       (2884*s[53])/99 + (70*s[54])/11 + (8323*s[55])/88 + 
       (15661*s[56])/264 - (143785*s[57])/198 + (773815*s[58])/2376 - 
       (685213*s[59])/2376 - (2266261*s[60])/4752 + (80057*s[61])/2376) + 
     HPL[{1}, 1 - u]^2*Ot[u, v, w]*((10*s[4])/3 - (193*s[5])/22 - 
       (633*s[6])/176 - (55519*s[7])/792 + (13793*s[8])/4752 + 
       (27601*s[9])/432 + (6805*s[10])/216 + (195455*s[11])/3168 + 
       (146017*s[12])/3168 + (14965*s[13])/792 + (33125*s[14])/792 + 
       (5251*s[15])/36 + (213881*s[16])/1584 + (55963*s[17])/352 + 
       (13037*s[18])/1296 + (23473*s[19])/1296 + (1252829*s[20])/7128 + 
       (503333*s[21])/7128 - (505871*s[22])/14256 - (3089*s[23])/3168 - 
       (2530057*s[24])/28512 + (17137871*s[25])/256608 - 
       (13187951*s[26])/256608 - (4*s[37])/3 - (23*s[39])/24 + 
       (23*s[40])/24 - (10*s[41])/3 - (5*s[42])/12 - (839*s[43])/264 - 
       (2*s[44])/11 - (4379*s[45])/264 + (3051*s[46])/44 + (833*s[47])/792 + 
       (365*s[48])/198 + (2491*s[49])/198 - (4055*s[50])/66 - 
       (653*s[51])/264 + (1915*s[52])/792 + (47303*s[53])/792 - 
       (13*s[54])/11 + (319007*s[55])/792 + (19103*s[56])/264 + 
       (7627*s[57])/33 + (35965*s[58])/1188 - (168899*s[59])/2376 - 
       (1555343*s[60])/2376 + (1551119*s[61])/42768) + 
     B9[u, v, w]*HPL[{1}, 1 - v]*((3*s[3])/2 - (33*s[4])/4 - (9*s[5])/2 - 
       (43*s[6])/4 - (2875*s[7])/24 + (311*s[8])/36 + (899*s[9])/9 + 
       (298*s[10])/9 + (3203*s[11])/24 + (440*s[12])/3 + (2185*s[13])/24 + 
       (155*s[14])/24 + (3943*s[15])/24 + (2447*s[16])/12 + (1247*s[17])/8 + 
       (349*s[18])/27 + (3233*s[19])/108 + (25015*s[20])/108 + 
       (16817*s[21])/216 - (13633*s[22])/216 - (1279*s[23])/12 - 
       (15743*s[24])/108 + (172615*s[25])/972 - (88681*s[26])/972 + 2*s[36] - 
       6*s[38] + (39*s[39])/2 - (43*s[40])/2 + (33*s[41])/2 - (53*s[42])/2 - 
       (43*s[43])/2 + (77*s[44])/4 - 15*s[45] + (275*s[46])/2 - 
       (31*s[47])/12 - (61*s[48])/12 + (1141*s[49])/12 - 108*s[50] - 
       (185*s[51])/12 - (167*s[52])/12 + (449*s[53])/6 + 13*s[54] + 
       (1843*s[55])/4 + (1087*s[56])/12 - (607*s[57])/9 + (19685*s[58])/108 - 
       (23663*s[59])/108 - (85927*s[60])/72 + (44381*s[61])/972) + 
     HPL[{1}, 1 - u]^4*HPL[{0, 0, 1}, 1 - v]*((-479*s[4])/288 - 
       (355*s[5])/48 - (1607*s[6])/192 - (165377*s[7])/1728 + 
       (40007*s[8])/5184 + (422435*s[9])/5184 + (87695*s[10])/2592 + 
       (316169*s[11])/3456 + (278761*s[12])/3456 + (80129*s[13])/1728 + 
       (53599*s[14])/1728 + (317159*s[15])/1728 + (314129*s[16])/1728 + 
       (24859*s[17])/128 + (78979*s[18])/15552 + (447137*s[19])/15552 + 
       (402743*s[20])/1944 + (1244089*s[21])/15552 - (370645*s[22])/7776 - 
       (165689*s[23])/3456 - (3881545*s[24])/31104 + 
       (31510679*s[25])/279936 - (20175719*s[26])/279936 - (11*s[37])/18 + 
       (499*s[39])/144 - (499*s[40])/144 + (359*s[41])/288 - 
       (2363*s[42])/288 - (1657*s[43])/144 + (1001*s[44])/192 - 
       (2629*s[45])/144 + (619*s[46])/6 + (5989*s[47])/1728 - 
       (12611*s[48])/1728 + (76823*s[49])/1728 - (6125*s[50])/72 + 
       (1349*s[51])/576 + (6725*s[52])/1728 + (71159*s[53])/864 + 
       (13*s[54])/3 + (925861*s[55])/1728 + (62041*s[56])/576 + 
       (30785*s[57])/144 + (399439*s[58])/5184 - (725317*s[59])/5184 - 
       (9842159*s[60])/10368 + (2281253*s[61])/46656) + 
     HPL[{1}, 1 - u]^3*Omega2[u, v, w]*((-65*s[4])/12 - (189*s[5])/44 - 
       (421*s[6])/44 - (19801*s[7])/198 + (3326*s[8])/297 + (8605*s[9])/108 + 
       (794*s[10])/27 + (78065*s[11])/792 + (76765*s[12])/792 + 
       (6032*s[13])/99 + (1387*s[14])/99 + (6385*s[15])/36 + 
       (36841*s[16])/198 + (48013*s[17])/264 + (239*s[18])/81 + 
       (9031*s[19])/324 + (177448*s[20])/891 + (138713*s[21])/1782 - 
       (43262*s[22])/891 - (87053*s[23])/792 - (882421*s[24])/7128 + 
       (2014649*s[25])/16038 - (1244303*s[26])/16038 + (71*s[39])/12 - 
       (71*s[40])/12 + (53*s[41])/12 - (73*s[42])/6 - (2137*s[43])/132 + 
       (529*s[44])/88 - (1915*s[45])/132 + (1223*s[46])/11 + 
       (7067*s[47])/792 - (12799*s[48])/792 + (46009*s[49])/792 - 
       (2845*s[50])/33 + (1255*s[51])/88 + (4435*s[52])/792 + 
       (16529*s[53])/198 - (188*s[54])/33 + (430565*s[55])/792 + 
       (35005*s[56])/264 + (65359*s[57])/396 + (256819*s[58])/2376 - 
       (412675*s[59])/2376 - (4758625*s[60])/4752 + (198623*s[61])/3564) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 1}, 1 - u]*((-5*s[4])/3 - 
       (335*s[5])/22 - (5425*s[6])/264 - (55109*s[7])/396 + 
       (19465*s[8])/2376 + (27305*s[9])/216 + (2041*s[10])/54 + 
       (227383*s[11])/1584 + (228551*s[12])/1584 + (58735*s[13])/792 + 
       (42467*s[14])/792 + (3557*s[15])/18 + (23831*s[16])/99 + 
       (110057*s[17])/528 + (38941*s[18])/648 - (12721*s[19])/648 + 
       (288565*s[20])/891 + (1151837*s[21])/7128 - (263243*s[22])/3564 - 
       (380161*s[23])/1584 - (1531397*s[24])/14256 + 
       (19212637*s[25])/128304 - (16260169*s[26])/128304 - (8*s[38])/3 + 
       (91*s[39])/4 - (91*s[40])/4 + (139*s[41])/6 - (215*s[42])/6 - 
       (1555*s[43])/132 + (3733*s[44])/264 - (581*s[45])/44 + 
       (9443*s[46])/66 - (10249*s[47])/792 + (14105*s[48])/792 + 
       (41131*s[49])/792 - (3313*s[50])/33 - (4913*s[51])/264 - 
       (16655*s[52])/792 + (14753*s[53])/198 - (874*s[54])/33 + 
       (38927*s[55])/88 + (39637*s[56])/264 - (33617*s[57])/99 + 
       (687235*s[58])/2376 - (662569*s[59])/2376 - (4507441*s[60])/4752 + 
       (505531*s[61])/7128) + HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-7*s[4])/2 - (189*s[5])/22 - (245*s[6])/22 - (8885*s[7])/66 + 
       (2627*s[8])/198 + (1001*s[9])/9 + (797*s[10])/18 + (8521*s[11])/66 + 
       (16099*s[12])/132 + (9269*s[13])/132 + (4685*s[14])/132 + 
       (736*s[15])/3 + (32999*s[16])/132 + (8365*s[17])/33 + (304*s[18])/27 + 
       (878*s[19])/27 + (170293*s[20])/594 + (134831*s[21])/1188 - 
       (78673*s[22])/1188 - (7643*s[23])/66 - (96131*s[24])/594 + 
       (1688099*s[25])/10692 - (1102973*s[26])/10692 + s[35]/2 - s[36] + 
       (11*s[39])/2 - (11*s[40])/2 + (5*s[41])/2 - 13*s[42] - 
       (353*s[43])/22 + (58*s[44])/11 - (499*s[45])/22 + (1588*s[46])/11 + 
       (86*s[47])/11 - (323*s[48])/22 + (1877*s[49])/33 - (1266*s[50])/11 + 
       (667*s[51])/66 + (367*s[52])/66 + (7261*s[53])/66 - (442*s[54])/33 + 
       (23972*s[55])/33 + (11623*s[56])/66 + (51301*s[57])/198 + 
       (39056*s[58])/297 - (122941*s[59])/594 - (85273*s[60])/66 + 
       (406273*s[61])/5346) + HPL[{1}, 1 - v]^3*Omega2[u, v, w]*
      ((-19*s[4])/12 - (811*s[5])/44 - (6815*s[6])/264 - (64369*s[7])/396 + 
       (16859*s[8])/2376 + (32437*s[9])/216 + (4873*s[10])/108 + 
       (272135*s[11])/1584 + (273505*s[12])/1584 + (18347*s[13])/198 + 
       (11305*s[14])/198 + (8117*s[15])/36 + (224201*s[16])/792 + 
       (127925*s[17])/528 + (46127*s[18])/648 - (14567*s[19])/648 + 
       (1328219*s[20])/3564 + (341485*s[21])/1782 - (622535*s[22])/7128 - 
       (461189*s[23])/1584 - (1766509*s[24])/14256 + 
       (22741313*s[25])/128304 - (19244561*s[26])/128304 - (13*s[38])/3 + 
       (63*s[39])/2 - (63*s[40])/2 + (385*s[41])/12 - (146*s[42])/3 - 
       (919*s[43])/66 + (4973*s[44])/264 - (147*s[45])/11 + 
       (11125*s[46])/66 - (15017*s[47])/792 + (21019*s[48])/792 + 
       (56711*s[49])/792 - (7987*s[50])/66 - (2185*s[51])/88 - 
       (22069*s[52])/792 + (33353*s[53])/396 - (587*s[54])/33 + 
       (42113*s[55])/88 + (40613*s[56])/264 - (204403*s[57])/396 + 
       (878369*s[58])/2376 - (840539*s[59])/2376 - (5168219*s[60])/4752 + 
       (558097*s[61])/7128) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      (3*s[3] - s[4]/6 - (201*s[5])/11 - (2071*s[6])/88 - (51635*s[7])/396 - 
       (2723*s[8])/2376 + (27281*s[9])/216 + (1154*s[10])/27 + 
       (179287*s[11])/1584 + (122723*s[12])/1584 + (34765*s[13])/792 + 
       (47777*s[14])/792 + (4181*s[15])/18 + (92105*s[16])/396 + 
       (144593*s[17])/528 + (32737*s[18])/648 - (3637*s[19])/648 + 
       (502487*s[20])/1782 + (1001567*s[21])/7128 - (123199*s[22])/1782 - 
       (201937*s[23])/1584 - (1435325*s[24])/14256 + 
       (15106285*s[25])/128304 - (13289329*s[26])/128304 - 4*s[36] + 
       (7*s[38])/3 + (69*s[39])/4 - (69*s[40])/4 + (80*s[41])/3 - 
       (203*s[42])/6 + (323*s[43])/132 - (1907*s[44])/264 - (1355*s[45])/44 + 
       (9059*s[46])/66 - (22201*s[47])/792 + (56933*s[48])/792 - 
       (19901*s[49])/792 - (1224*s[50])/11 - (7253*s[51])/264 - 
       (22571*s[52])/792 + (9844*s[53])/99 - (618*s[54])/11 + 
       (49667*s[55])/88 + (36637*s[56])/264 - (25309*s[57])/198 + 
       (488071*s[58])/2376 - (470893*s[59])/2376 - (3306277*s[60])/4752 + 
       (565363*s[61])/7128) + HPL[{1}, 1 - u]^2*Qep[u, v, w]*
      ((244*s[4])/9 - (456*s[5])/11 - (622*s[6])/33 - (133214*s[7])/297 + 
       (7358*s[8])/891 + (30202*s[9])/81 + (19460*s[10])/81 + 
       (117577*s[11])/297 + (78701*s[12])/297 + (61214*s[13])/297 + 
       (65458*s[14])/297 + (30334*s[15])/27 + (298922*s[16])/297 + 
       (14147*s[17])/11 - (31846*s[18])/243 + (73270*s[19])/243 + 
       (2817112*s[20])/2673 + (1210606*s[21])/2673 - (569528*s[22])/2673 + 
       (34739*s[23])/297 - (2142317*s[24])/2673 + (10646203*s[25])/24057 - 
       (8357611*s[26])/24057 - (112*s[39])/9 + (112*s[40])/9 - 
       (340*s[41])/9 + (4*s[42])/9 - (12832*s[43])/99 + (554*s[44])/11 - 
       (6976*s[45])/99 + (15856*s[46])/33 + (47998*s[47])/297 - 
       (89546*s[48])/297 + (155954*s[49])/297 - (43792*s[50])/99 + 
       (21662*s[51])/99 + (48974*s[52])/297 + (146284*s[53])/297 + 
       (8768*s[54])/33 + (952702*s[55])/297 + (50614*s[56])/99 + 
       (241096*s[57])/99 - (49982*s[58])/891 - (631630*s[59])/891 - 
       (5207209*s[60])/891 + (1470434*s[61])/8019) + 
     HPL[{1}, 1 - v]^2*Qep[v, u, w]*((196*s[4])/3 - (3880*s[5])/33 - 
       (1566*s[6])/11 - (68474*s[7])/99 - (15958*s[8])/297 + 
       (18742*s[9])/27 + (7592*s[10])/27 + (73783*s[11])/99 + 
       (71237*s[12])/99 + (35192*s[13])/99 + (46660*s[14])/99 + 
       (2734*s[15])/3 + (126608*s[16])/99 + (37637*s[17])/33 + 
       (35630*s[18])/81 - (17282*s[19])/81 + (1653220*s[20])/891 + 
       (1010380*s[21])/891 - (346106*s[22])/891 - (133675*s[23])/99 - 
       (372479*s[24])/891 + (4538755*s[25])/8019 - (5998735*s[26])/8019 - 
       48*s[38] + 200*s[39] - 200*s[40] + 204*s[41] - 284*s[42] - 
       (2776*s[43])/33 + (4864*s[44])/33 + (24*s[45])/11 + (20800*s[46])/33 - 
       (8540*s[47])/99 + (7036*s[48])/99 + (55628*s[49])/99 - 
       (4960*s[50])/11 - (12820*s[51])/99 - (14416*s[52])/99 + 
       (20200*s[53])/99 + (3808*s[54])/33 + (26188*s[55])/33 + 
       (3088*s[56])/11 - (393760*s[57])/99 + (20516*s[58])/11 - 
       (174296*s[59])/99 - (1115236*s[60])/297 + (510802*s[61])/2673) + 
     HPL[{1}, 1 - v]^2*Qep[w, u, v]*((-604*s[4])/9 - (1304*s[5])/33 - 
       (3650*s[6])/33 - (187930*s[7])/297 + (67126*s[8])/891 + 
       (45506*s[9])/81 + (7720*s[10])/81 + (216521*s[11])/297 + 
       (237847*s[12])/297 + (150220*s[13])/297 - (21064*s[14])/297 + 
       (20738*s[15])/27 + (314920*s[16])/297 + (24529*s[17])/33 + 
       (51322*s[18])/243 - (9262*s[19])/243 + (2980292*s[20])/2673 + 
       (1391672*s[21])/2673 - (913186*s[22])/2673 - (427409*s[23])/297 - 
       (1330765*s[24])/2673 + (21897617*s[25])/24057 - 
       (13052597*s[26])/24057 - (112*s[38])/9 + (464*s[39])/3 - 
       (464*s[40])/3 + (1492*s[41])/9 - (2228*s[42])/9 - (4640*s[43])/99 + 
       (6676*s[44])/99 - (576*s[45])/11 + (73904*s[46])/99 - 
       (36496*s[47])/297 + (59072*s[48])/297 + (81064*s[49])/297 - 
       (18112*s[50])/33 - (4096*s[51])/33 - (42908*s[52])/297 + 
       (112616*s[53])/297 - (2336*s[54])/33 + (22464*s[55])/11 + 
       (63172*s[56])/99 - (832720*s[57])/297 + (1589272*s[58])/891 - 
       (1488700*s[59])/891 - (3918062*s[60])/891 + (933338*s[61])/2673) + 
     HPL[{1}, 1 - v]^2*Qep[v, w, u]*((-188*s[4])/3 - (2480*s[5])/33 - 
       (1834*s[6])/11 - (86678*s[7])/99 + (15230*s[8])/297 + 
       (20890*s[9])/27 + (4976*s[10])/27 + (96625*s[11])/99 + 
       (100223*s[12])/99 + (62948*s[13])/99 + (11128*s[14])/99 + 
       (10478*s[15])/9 + (148364*s[16])/99 + (40283*s[17])/33 + 
       (20378*s[18])/81 + (1354*s[19])/81 + (1523428*s[20])/891 + 
       (709912*s[21])/891 - (413186*s[22])/891 - (144997*s[23])/99 - 
       (718217*s[24])/891 + (9310237*s[25])/8019 - (5988841*s[26])/8019 - 
       (64*s[38])/3 + 176*s[39] - 176*s[40] + (532*s[41])/3 - (812*s[42])/3 - 
       (2560*s[43])/33 + (1072*s[44])/11 - (1008*s[45])/11 + 
       (32800*s[46])/33 - (12020*s[47])/99 + (16492*s[48])/99 + 
       (39668*s[49])/99 - (7984*s[50])/11 - (14948*s[51])/99 - 
       (15016*s[52])/99 + (52192*s[53])/99 - (2944*s[54])/33 + 
       (100028*s[55])/33 + (29440*s[56])/33 - (86888*s[57])/33 + 
       (613612*s[58])/297 - (590992*s[59])/297 - (1970872*s[60])/297 + 
       (1241054*s[61])/2673) + HPL[{1}, 1 - u]^2*Qep[w, u, v]*
      ((-1576*s[4])/9 - (1712*s[5])/33 - (7672*s[6])/33 - (552196*s[7])/297 + 
       (215128*s[8])/891 + (118544*s[9])/81 + (33808*s[10])/81 + 
       (569252*s[11])/297 + (595720*s[12])/297 + (377092*s[13])/297 + 
       (20540*s[14])/297 + (79436*s[15])/27 + (981280*s[16])/297 + 
       (95884*s[17])/33 + (35200*s[18])/243 + (98408*s[19])/243 + 
       (9174824*s[20])/2673 + (3376724*s[21])/2673 - (2433076*s[22])/2673 - 
       (725528*s[23])/297 - (5767816*s[24])/2673 + (61554464*s[25])/24057 - 
       (34556480*s[26])/24057 + (128*s[37])/9 + (1480*s[39])/9 - 
       (1480*s[40])/9 + (1480*s[41])/9 - (2680*s[42])/9 - (25976*s[43])/99 + 
       (4828*s[44])/33 - (26552*s[45])/99 + (70384*s[46])/33 + 
       (10676*s[47])/297 - (29188*s[48])/297 + (280372*s[49])/297 - 
       (157376*s[50])/99 + (6916*s[51])/99 - (11420*s[52])/297 + 
       (431744*s[53])/297 - (8416*s[54])/33 + (2776628*s[55])/297 + 
       (242228*s[56])/99 + (103600*s[57])/99 + (2326388*s[58])/891 - 
       (3032756*s[59])/891 - (15739970*s[60])/891 + (8561104*s[61])/8019) + 
     HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      (-127*s[4] - (1328*s[5])/11 - (1728*s[6])/11 - (122791*s[7])/66 + 
       (18307*s[8])/99 + (13856*s[9])/9 + (4711*s[10])/9 + 
       (116821*s[11])/66 + (113027*s[12])/66 + (8867*s[13])/11 + 
       (12197*s[14])/33 + (18365*s[15])/6 + (71231*s[16])/22 + 
       (200951*s[17])/66 + (11302*s[18])/27 + (6260*s[19])/27 + 
       (1175699*s[20])/297 + (448742*s[21])/297 - (270745*s[22])/297 - 
       (25092*s[23])/11 - (554980*s[24])/297 + (11573047*s[25])/5346 - 
       (7309567*s[26])/5346 + 16*s[37] + 22*s[38] + 99*s[39] - 97*s[40] + 
       127*s[41] - 189*s[42] - (851*s[43])/11 + (387*s[44])/11 - 
       (4053*s[45])/11 + (21834*s[46])/11 - (566*s[47])/11 + 
       (2305*s[48])/11 + (2853*s[49])/11 - (17476*s[50])/11 - 
       (3734*s[51])/33 - (1311*s[52])/11 + (14899*s[53])/11 - 
       (5344*s[54])/11 + (295880*s[55])/33 + (25467*s[56])/11 + 
       (53654*s[57])/33 + (228629*s[58])/99 - (257447*s[59])/99 - 
       (507797*s[60])/33 + (1045061*s[61])/891) + 
     HPL[{1}, 1 - v]^2*Qep[w, v, u]*((-1208*s[4])/9 - (512*s[5])/3 - 
       (1100*s[6])/3 - (60724*s[7])/27 + (15556*s[8])/81 + (159988*s[9])/81 + 
       (39776*s[10])/81 + (65726*s[11])/27 + (69610*s[12])/27 + 
       (40528*s[13])/27 + (10472*s[14])/27 + (80140*s[15])/27 + 
       (103168*s[16])/27 + 3034*s[17] + (189620*s[18])/243 - 
       (32492*s[19])/243 + (1116104*s[20])/243 + (519464*s[21])/243 - 
       (287812*s[22])/243 - (107990*s[23])/27 - (459070*s[24])/243 + 
       (6214478*s[25])/2187 - (4277462*s[26])/2187 - (368*s[38])/9 + 
       (1216*s[39])/3 - (1216*s[40])/3 + (3848*s[41])/9 - (5752*s[42])/9 - 
       (1760*s[43])/9 + (2104*s[44])/9 - 224*s[45] + (22208*s[46])/9 - 
       (7264*s[47])/27 + (9680*s[48])/27 + (24832*s[49])/27 - 
       (5296*s[50])/3 - 336*s[51] - (10040*s[52])/27 + (34928*s[53])/27 - 
       (1184*s[54])/3 + (22816*s[55])/3 + (21880*s[56])/9 - 
       (164848*s[57])/27 + (407392*s[58])/81 - (393112*s[59])/81 - 
       (1320356*s[60])/81 + (293972*s[61])/243) + 
     D25[u, w, v]*((-3*s[3])/2 - (9*s[4])/4 - 5*s[5] - (49*s[6])/4 - 
       (2017*s[7])/24 + (191*s[8])/36 + (1315*s[9])/18 + (467*s[10])/18 + 
       (2069*s[11])/24 + (251*s[12])/3 + (1231*s[13])/24 + (653*s[14])/24 + 
       (2857*s[15])/24 + (1757*s[16])/12 + (1045*s[17])/8 + (577*s[18])/27 + 
       (305*s[19])/108 + (18835*s[20])/108 + (16391*s[21])/216 - 
       (9703*s[22])/216 - (1063*s[23])/12 - (7919*s[24])/108 + 
       (49211*s[25])/486 - (16447*s[26])/243 - 2*s[30] + s[32] + s[36] + 
       (9*s[39])/4 - (13*s[40])/4 + (9*s[41])/4 - (17*s[42])/4 - 
       (13*s[43])/4 + (23*s[44])/8 - 8*s[45] + (175*s[46])/4 - s[47]/24 + 
       (5*s[48])/24 + (307*s[49])/24 - (65*s[50])/2 - (35*s[51])/24 - 
       (53*s[52])/24 + (317*s[53])/12 + s[54] + (4055*s[55])/24 + 
       (1225*s[56])/24 - (251*s[57])/9 + (14939*s[58])/216 - 
       (16217*s[59])/216 - (49501*s[60])/144 + (49553*s[61])/1944 + s[65]) + 
     B6[w, u, v]*HPL[{1}, 1 - u]*((15*s[4])/2 + (305*s[5])/44 + 
       (683*s[6])/44 + (18479*s[7])/132 - (4601*s[8])/396 - (1078*s[9])/9 - 
       (1187*s[10])/36 - (21247*s[11])/132 - (24377*s[12])/132 - 
       (7465*s[13])/66 - (445*s[14])/33 - (515*s[15])/3 - (30413*s[16])/132 - 
       (3523*s[17])/22 - (2675*s[18])/108 - (1145*s[19])/54 - 
       (81094*s[20])/297 - (120601*s[21])/1188 + (44287*s[22])/594 + 
       (21145*s[23])/132 + (185237*s[24])/1188 - (4389431*s[25])/21384 + 
       (2407703*s[26])/21384 - s[29] - (3*s[33])/4 - s[36] + s[37] + 
       8*s[38] - (53*s[39])/2 + (57*s[40])/2 - (41*s[41])/2 + 36*s[42] + 
       (497*s[43])/22 - (248*s[44])/11 + (235*s[45])/11 - (3745*s[46])/22 + 
       (114*s[47])/11 + (15*s[48])/11 - (1112*s[49])/11 + (1366*s[50])/11 + 
       (1559*s[51])/66 + (485*s[52])/22 - (2729*s[53])/33 + (71*s[54])/11 - 
       (5799*s[55])/11 - (4726*s[56])/33 + (91675*s[57])/396 - 
       (86648*s[58])/297 + (172567*s[59])/594 + (60747*s[60])/44 - 
       (761009*s[61])/10692 + s[67] + s[69]) + D30[w, u, v]*s[72] + 
     D29[u, v, w]*(3*s[2] - (13*s[3])/2 - (133*s[4])/4 - (393*s[5])/22 - 
       (2345*s[6])/44 - (38935*s[7])/88 + (14537*s[8])/396 + (3265*s[9])/9 + 
       (974*s[10])/9 + (131837*s[11])/264 + (18464*s[12])/33 + 
       (91895*s[13])/264 + (6053*s[14])/264 + (4577*s[15])/8 + 
       (97489*s[16])/132 + (142643*s[17])/264 + (3973*s[18])/54 + 
       (8845*s[19])/108 + (997507*s[20])/1188 + (703031*s[21])/2376 - 
       (540559*s[22])/2376 - (70175*s[23])/132 - (590705*s[24])/1188 + 
       (7016341*s[25])/10692 - (3683659*s[26])/10692 + s[28] - s[32] + 
       2*s[36] - 2*s[37] - 22*s[38] + (143*s[39])/2 - (155*s[40])/2 + 
       (113*s[41])/2 - (193*s[42])/2 - (1489*s[43])/22 + (2831*s[44])/44 - 
       (701*s[45])/11 + (11109*s[46])/22 - (2813*s[47])/132 - 
       (1559*s[48])/132 + (39239*s[49])/132 - (4096*s[50])/11 - 
       (8227*s[51])/132 - (7525*s[52])/132 + (16867*s[53])/66 + s[54]/11 + 
       (213811*s[55])/132 + (53021*s[56])/132 - (49418*s[57])/99 + 
       (936031*s[58])/1188 - (978061*s[59])/1188 - (3299597*s[60])/792 + 
       (2125687*s[61])/10692 + 2*s[68] - 4*s[73]) + D28[w, u, v]*s[74] + 
     B9[v, w, u]*HPL[{1}, 1 - u]*(15*s[4] + (213*s[5])/11 + (424*s[6])/11 + 
       (21845*s[7])/66 - (2504*s[8])/99 - (5069*s[9])/18 - (746*s[10])/9 - 
       (24437*s[11])/66 - (13580*s[12])/33 - (5501*s[13])/22 - 
       (3221*s[14])/66 - (2509*s[15])/6 - (5991*s[16])/11 - 
       (26539*s[17])/66 - (1796*s[18])/27 - (1144*s[19])/27 - 
       (195925*s[20])/297 - (149201*s[21])/594 + (103699*s[22])/594 + 
       (4032*s[23])/11 + (106748*s[24])/297 - (2488421*s[25])/5346 + 
       (1416377*s[26])/5346 - (3*s[33])/2 + 2*s[37] + 16*s[38] - 52*s[39] + 
       56*s[40] - 40*s[41] + 70*s[42] + (508*s[43])/11 - (496*s[44])/11 + 
       (536*s[45])/11 - (4042*s[46])/11 + (206*s[47])/11 + (74*s[48])/11 - 
       (2224*s[49])/11 + (2908*s[50])/11 + (516*s[51])/11 + (474*s[52])/11 - 
       (1988*s[53])/11 + (142*s[54])/11 - (76925*s[55])/66 - 
       (3510*s[56])/11 + (9223*s[57])/22 - (39653*s[58])/66 + 
       (39425*s[59])/66 + (65235*s[60])/22 - (31435*s[61])/198 + s[75]) + 
     B5[u, w, v]*HPL[{1}, 1 - v]*((9*s[4])/2 + (11*s[5])/2 + 6*s[6] + 
       (371*s[7])/4 - (58*s[8])/9 - (1439*s[9])/18 - (541*s[10])/18 - 
       (1199*s[11])/12 - (623*s[12])/6 - (737*s[13])/12 - (101*s[14])/12 - 
       (1639*s[15])/12 - (479*s[16])/3 - (1637*s[17])/12 - (541*s[18])/54 - 
       (1433*s[19])/54 - (4979*s[20])/27 - (6959*s[21])/108 + 
       (5323*s[22])/108 + (223*s[23])/3 + (3094*s[24])/27 - 
       (123287*s[25])/972 + (64985*s[26])/972 - s[36] + s[37] + 4*s[38] - 
       12*s[39] + 12*s[40] - 10*s[41] + 15*s[42] + 14*s[43] - 12*s[44] + 
       14*s[45] - 102*s[46] + (13*s[47])/6 + (13*s[48])/6 - (367*s[49])/6 + 
       86*s[50] + (21*s[51])/2 + (22*s[52])/3 - (181*s[53])/3 - 16*s[54] - 
       (2297*s[55])/6 - (139*s[56])/2 + 4*s[57] - (2357*s[58])/18 + 
       (2747*s[59])/18 + (32755*s[60])/36 - (3128*s[61])/81 + s[76]) + 
     B5[u, v, w]*HPL[{1}, 1 - v]*((11*s[4])/2 + (9*s[5])/2 + 6*s[6] + 
       (1097*s[7])/12 - (65*s[8])/9 - (1399*s[9])/18 - (509*s[10])/18 - 
       (1189*s[11])/12 - (314*s[12])/3 - (737*s[13])/12 - (73*s[14])/12 - 
       (1631*s[15])/12 - (479*s[16])/3 - (529*s[17])/4 - (575*s[18])/54 - 
       (1357*s[19])/54 - (4948*s[20])/27 - (7159*s[21])/108 + 
       (5159*s[22])/108 + (491*s[23])/6 + (6181*s[24])/54 - 
       (123355*s[25])/972 + (68149*s[26])/972 - 2*s[33] - s[36] + s[37] + 
       4*s[38] - 12*s[39] + 12*s[40] - 10*s[41] + 15*s[42] + 14*s[43] - 
       12*s[44] + 14*s[45] - 102*s[46] + (13*s[47])/6 + (13*s[48])/6 - 
       (367*s[49])/6 + 86*s[50] + (21*s[51])/2 + (22*s[52])/3 - 
       (181*s[53])/3 - 16*s[54] - (2297*s[55])/6 - (139*s[56])/2 + 4*s[57] - 
       (2357*s[58])/18 + (2747*s[59])/18 + (32755*s[60])/36 - 
       (3128*s[61])/81 + s[76]) + B10[u, v, w]*HPL[{1}, 1 - u]*
      ((-11*s[4])/2 - (261*s[5])/22 - (292*s[6])/11 - (22405*s[7])/132 + 
       (1327*s[8])/99 + (2641*s[9])/18 + (581*s[10])/18 + (25565*s[11])/132 + 
       (7354*s[12])/33 + (18145*s[13])/132 + (4913*s[14])/132 + 
       (2305*s[15])/12 + (8821*s[16])/33 + (7833*s[17])/44 + 
       (2645*s[18])/54 - (173*s[19])/54 + (101534*s[20])/297 + 
       (167183*s[21])/1188 - (107419*s[22])/1188 - (15205*s[23])/66 - 
       (96269*s[24])/594 + (2543015*s[25])/10692 - (1544357*s[26])/10692 - 
       s[37] - 8*s[38] + 30*s[39] - 34*s[40] + 22*s[41] - 43*s[42] - 
       (244*s[43])/11 + (265*s[44])/11 - (272*s[45])/11 + (2062*s[46])/11 - 
       (983*s[47])/66 - (59*s[48])/66 + (6095*s[49])/66 - (1269*s[50])/11 - 
       (1853*s[51])/66 - (971*s[52])/33 + (2609*s[53])/33 - (472*s[54])/11 + 
       (33475*s[55])/66 + (4325*s[56])/22 - (13829*s[57])/33 + 
       (8209*s[58])/22 - (22661*s[59])/66 - (538661*s[60])/396 + 
       (80567*s[61])/891 + 2*s[76]) + D31[u, v, w]*
      ((-33*s[4])/4 - (415*s[5])/44 - (435*s[6])/22 - (14765*s[7])/88 + 
       (2647*s[8])/198 + (5131*s[9])/36 + (1493*s[10])/36 + 
       (49787*s[11])/264 + (27809*s[12])/132 + (34139*s[13])/264 + 
       (5837*s[14])/264 + (5047*s[15])/24 + (9091*s[16])/33 + 
       (53507*s[17])/264 + (3509*s[18])/108 + (2401*s[19])/108 + 
       (392257*s[20])/1188 + (296609*s[21])/2376 - (210511*s[22])/2376 - 
       (12679*s[23])/66 - (54551*s[24])/297 + (5093585*s[25])/21384 - 
       (2854061*s[26])/21384 + (3*s[33])/2 + s[36] - s[37] - (17*s[38])/2 + 
       (95*s[39])/4 - (103*s[40])/4 + (71*s[41])/4 - (123*s[42])/4 - 
       (917*s[43])/44 + (1819*s[44])/88 - (1215*s[45])/44 + (2043*s[46])/11 - 
       (747*s[47])/88 - (505*s[48])/88 + (8093*s[49])/88 - (1476*s[50])/11 - 
       (5675*s[51])/264 - (1775*s[52])/88 + (6019*s[53])/66 - 
       (115*s[54])/11 + (53113*s[55])/88 + (45629*s[56])/264 - 
       (41201*s[57])/198 + (737173*s[58])/2376 - (725941*s[59])/2376 - 
       (265791*s[60])/176 + (924821*s[61])/10692 - s[70] + s[77] + 4*s[78]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 1}, 1 - w]*(21*s[2] - 105*s[3] + 
       328*s[4] + (3950*s[5])/11 + (8664*s[6])/11 + (935335*s[7])/132 - 
       (314561*s[8])/594 - (331867*s[9])/54 - (50215*s[10])/27 - 
       (767651*s[11])/99 - (1669193*s[12])/198 - (1015195*s[13])/198 - 
       (229585*s[14])/198 - (333553*s[15])/36 - (4676735*s[16])/396 - 
       (1815085*s[17])/198 - (109579*s[18])/81 - (132595*s[19])/162 - 
       (25332643*s[20])/1782 - (4874147*s[21])/891 + (6812879*s[22])/1782 + 
       (3130225*s[23])/396 + (26289979*s[24])/3564 - (308203793*s[25])/
        32076 + (177606647*s[26])/32076 + 6*s[30] + 12*s[31] - 9*s[32] + 
       (27*s[33])/2 - 24*s[34] - 6*s[35] - 72*s[36] + (149*s[37])/3 + 
       241*s[38] - 1063*s[39] + 1195*s[40] - (1855*s[41])/2 + 
       (3187*s[42])/2 + (8853*s[43])/11 - (43325*s[44])/44 + 
       (23153*s[45])/33 - (226475*s[46])/33 + (58325*s[47])/132 - 
       (12691*s[48])/132 - (497627*s[49])/132 + (116537*s[50])/22 + 
       (138887*s[51])/132 + (114157*s[52])/132 - (698609*s[53])/198 + 
       (6947*s[54])/66 - (2884889*s[55])/132 - (2361191*s[56])/396 + 
       (6085945*s[57])/594 - (42547063*s[58])/3564 + (42679957*s[59])/3564 + 
       (4802789*s[60])/88 - (44876327*s[61])/16038 - 4*s[64] - 3*s[65] - 
       4*s[66] + 12*s[67] + 4*s[69] + 3*s[71] + 12*s[72] - 12*s[73] - 
       9*s[74] + 9*s[75] - 6*s[77] - 20*s[78] + 152*s[79] - (170*s[80])/3) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1}, 1 - v]*
      (65*s[4] - (2441*s[5])/44 + (2867*s[6])/44 - (16727*s[7])/132 - 
       (34715*s[8])/396 + (7775*s[9])/36 + (6517*s[10])/36 + 
       (3779*s[11])/33 + (2347*s[12])/132 - (2823*s[13])/44 + 
       (33839*s[14])/132 + (643*s[15])/2 + (3369*s[16])/11 + 
       (52201*s[17])/132 + (6979*s[18])/108 + (3343*s[19])/54 + 
       (213749*s[20])/297 + (111581*s[21])/297 - (119875*s[22])/1188 + 
       (11295*s[23])/22 - (141179*s[24])/594 - (1090433*s[25])/21384 - 
       (2796523*s[26])/21384 + 3*s[27] - 6*s[35] + 17*s[36] - s[37]/2 - 
       30*s[38] + (37*s[39])/4 - (25*s[40])/4 + s[41]/4 + (95*s[42])/4 - 
       (2579*s[43])/44 + (3305*s[44])/88 - (955*s[45])/44 + (1285*s[46])/22 + 
       (16985*s[47])/264 - (18589*s[48])/264 + (84037*s[49])/264 - 
       (1526*s[50])/11 + (4547*s[51])/264 + (4165*s[52])/264 + 
       (21*s[53])/22 + (3907*s[54])/11 + (29485*s[55])/264 - 
       (108709*s[56])/264 + (152095*s[57])/198 - (407969*s[58])/2376 + 
       (214505*s[59])/2376 - (3336613*s[60])/1584 - (800621*s[61])/5346 - 
       3*s[62] + 24*s[79] - 19*s[80]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 1, 0, 1}, 1 - w]*((21*s[2])/4 - (207*s[3])/8 + 
       (1537*s[4])/16 + (1204*s[5])/11 + (41975*s[6])/176 + 
       (740275*s[7])/352 - (748453*s[8])/4752 - (195953*s[9])/108 - 
       (119285*s[10])/216 - (7307077*s[11])/3168 - (1986065*s[12])/792 - 
       (4870507*s[13])/3168 - (1022209*s[14])/3168 - (784469*s[15])/288 - 
       (1373291*s[16])/396 - (8501011*s[17])/3168 - (134203*s[18])/324 - 
       (325913*s[19])/1296 - (59578121*s[20])/14256 - 
       (46700551*s[21])/28512 + (32084579*s[22])/28512 + (458087*s[23])/198 + 
       (15434693*s[24])/7128 - (366508205*s[25])/128304 + 
       (213556193*s[26])/128304 + 2*s[30] + 3*s[31] - (5*s[32])/2 + 
       (15*s[33])/8 - 6*s[34] - (3*s[35])/2 - (51*s[36])/2 + (151*s[37])/12 + 
       75*s[38] - (1257*s[39])/4 + (1387*s[40])/4 - (525*s[41])/2 + 
       (1825*s[42])/4 + (11113*s[43])/44 - (50683*s[44])/176 + 
       (58295*s[45])/264 - (535547*s[46])/264 + (20739*s[47])/176 - 
       (3329*s[48])/176 - (200993*s[49])/176 + (16804*s[50])/11 + 
       (155885*s[51])/528 + (45205*s[52])/176 - (407933*s[53])/396 + 
       (787*s[54])/66 - (1122783*s[55])/176 - (2719375*s[56])/1584 + 
       (7081205*s[57])/2376 - (50451635*s[58])/14256 + 
       (50859065*s[59])/14256 + (50511731*s[60])/3168 - 
       (106522061*s[61])/128304 - s[65] - 3*s[66] + 3*s[67] + 3*s[69] + 
       s[71] + 3*s[72] - 3*s[73] - (9*s[74])/4 + (9*s[75])/4 - (3*s[77])/2 + 
       3*s[78] + 26*s[79] - (65*s[80])/6) + D25[v, w, u]*
      (-s[36] - (4*s[37])/3 - 11*s[38] + (37*s[39])/4 - (33*s[40])/4 + 
       (35*s[41])/4 - (7*s[42])/4 - (843*s[43])/44 + (997*s[44])/88 - 
       (2429*s[45])/66 + (22333*s[46])/132 + (923*s[47])/88 - 
       (2575*s[48])/88 + (8055*s[49])/88 - (1582*s[50])/11 - 
       (1849*s[51])/264 - (645*s[52])/88 + (40259*s[53])/396 + 
       (3011*s[54])/66 + (194201*s[55])/264 + (107885*s[56])/792 + 
       (61235*s[57])/297 + (1197799*s[58])/7128 - (1468501*s[59])/7128 - 
       (2704951*s[60])/1584 + (4378387*s[61])/64152 + s[71] - (20*s[80])/3) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 1 - v]*
      ((73*s[4])/2 - (75*s[5])/4 + (75*s[6])/2 + (809*s[7])/12 - 
       (283*s[8])/6 - (61*s[9])/6 + (527*s[10])/12 - (689*s[11])/8 - 
       (1121*s[12])/8 - (1411*s[13])/12 + (407*s[14])/4 - (106*s[15])/3 - 
       (979*s[16])/12 + (143*s[17])/24 + (41*s[18])/3 - (11*s[19])/4 + 
       (409*s[20])/6 + (1415*s[21])/18 + (391*s[22])/18 + (8005*s[23])/24 + 
       (3763*s[24])/72 - (64115*s[25])/324 + (11429*s[26])/324 + s[27] - 
       2*s[35] + (17*s[36])/3 - s[37]/6 - 7*s[38] - (49*s[39])/4 + 
       (175*s[40])/12 - (59*s[41])/4 + (389*s[42])/12 - (77*s[43])/12 + 
       (25*s[44])/24 + (107*s[45])/12 - (221*s[46])/2 + (2209*s[47])/72 - 
       (1649*s[48])/72 + (3521*s[49])/72 + (151*s[50])/3 + (1379*s[51])/72 + 
       (1265*s[52])/72 - (224*s[53])/3 + 129*s[54] - (10561*s[55])/24 - 
       (20069*s[56])/72 + (20297*s[57])/54 - (168997*s[58])/648 + 
       (162013*s[59])/648 + (139519*s[60])/432 - (337211*s[61])/2916 - 
       s[62] + 8*s[79] - (19*s[80])/3) + B9[u, v, w]*HPL[{1}, 1 - u]*
      (-11*s[4] - (831*s[5])/44 - (823*s[6])/44 - (13703*s[7])/44 + 
       (4789*s[8])/1188 + (30281*s[9])/108 + (12325*s[10])/108 + 
       (66301*s[11])/198 + (131521*s[12])/396 + (79655*s[13])/396 + 
       (31835*s[14])/396 + (8951*s[15])/18 + (55883*s[16])/99 + 
       (197111*s[17])/396 + (8815*s[18])/324 + (15295*s[19])/162 + 
       (617561*s[20])/891 + (220439*s[21])/891 - (608299*s[22])/3564 - 
       (9835*s[23])/99 - (385021*s[24])/891 + (26300119*s[25])/64152 - 
       (14945683*s[26])/64152 - (3*s[33])/2 + 2*s[34] - (5*s[37])/6 - 
       11*s[38] + (23*s[39])/2 - (23*s[40])/2 + 11*s[41] - 6*s[42] - 
       (493*s[43])/22 + (625*s[44])/44 - (4429*s[45])/132 + 
       (22333*s[46])/132 + (1379*s[47])/132 - (3835*s[48])/132 + 
       (13771*s[49])/132 - (1582*s[50])/11 - (1117*s[51])/132 - 
       (1259*s[52])/132 + (40259*s[53])/396 + (3011*s[54])/66 + 
       (94543*s[55])/132 + (48481*s[56])/396 + (114781*s[57])/594 + 
       (144185*s[58])/891 - (759017*s[59])/3564 - (225463*s[60])/132 + 
       (3885697*s[61])/64152 + s[71] - (17*s[80])/3) + 
     B9[w, u, v]*HPL[{1}, 1 - u]*(-19*s[4] - (831*s[5])/44 - (823*s[6])/44 - 
       (16255*s[7])/44 + (20629*s[8])/1188 + (35177*s[9])/108 + 
       (13477*s[10])/108 + (78181*s[11])/198 + (160033*s[12])/396 + 
       (92327*s[13])/396 + (23915*s[14])/396 + (10391*s[15])/18 + 
       (65585*s[16])/99 + (222455*s[17])/396 + (13855*s[18])/324 + 
       (15799*s[19])/162 + (708641*s[20])/891 + (252119*s[21])/891 - 
       (714427*s[22])/3564 - (25477*s[23])/99 - (418681*s[24])/891 + 
       (31571671*s[25])/64152 - (17622643*s[26])/64152 - (3*s[33])/2 + 
       2*s[34] - (5*s[37])/6 - 9*s[38] + (39*s[39])/2 - (39*s[40])/2 + 
       19*s[41] - 22*s[42] - (493*s[43])/22 + (889*s[44])/44 - 
       (5485*s[45])/132 + (30781*s[46])/132 + (323*s[47])/132 - 
       (1723*s[48])/132 + (15091*s[49])/132 - (2198*s[50])/11 - 
       (2173*s[51])/132 - (995*s[52])/132 + (56099*s[53])/396 + 
       (3011*s[54])/66 + (126575*s[55])/132 + (76201*s[56])/396 + 
       (39937*s[57])/594 + (262391*s[58])/891 - (1203329*s[59])/3564 - 
       (280595*s[60])/132 + (6501673*s[61])/64152 + s[71] - (17*s[80])/3) + 
     D25[u, v, w]*(-19*s[4] - (831*s[5])/44 - (823*s[6])/44 - 
       (16255*s[7])/44 + (20629*s[8])/1188 + (35177*s[9])/108 + 
       (13477*s[10])/108 + (78181*s[11])/198 + (160033*s[12])/396 + 
       (92327*s[13])/396 + (23915*s[14])/396 + (10391*s[15])/18 + 
       (65585*s[16])/99 + (222455*s[17])/396 + (13855*s[18])/324 + 
       (15799*s[19])/162 + (708641*s[20])/891 + (252119*s[21])/891 - 
       (714427*s[22])/3564 - (25477*s[23])/99 - (418681*s[24])/891 + 
       (31571671*s[25])/64152 - (17622643*s[26])/64152 + s[27] - 
       (3*s[33])/2 + 2*s[34] - (5*s[37])/6 - 9*s[38] + (39*s[39])/2 - 
       (39*s[40])/2 + 19*s[41] - 22*s[42] - (493*s[43])/22 + (889*s[44])/44 - 
       (5485*s[45])/132 + (30781*s[46])/132 + (323*s[47])/132 - 
       (1723*s[48])/132 + (15091*s[49])/132 - (2198*s[50])/11 - 
       (2173*s[51])/132 - (995*s[52])/132 + (56099*s[53])/396 + 
       (3011*s[54])/66 + (126575*s[55])/132 + (76201*s[56])/396 + 
       (39937*s[57])/594 + (262391*s[58])/891 - (1203329*s[59])/3564 - 
       (280595*s[60])/132 + (6501673*s[61])/64152 + s[71] - (17*s[80])/3) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 1}, 1 - u]*(22*s[2] - 42*s[3] - 
       (609*s[4])/8 + (7587*s[5])/88 + (3427*s[6])/44 + (35801*s[7])/88 + 
       (4973*s[8])/99 - (3962*s[9])/9 - (13817*s[10])/72 - (12791*s[11])/33 - 
       (76649*s[12])/264 - (42595*s[13])/264 - (64877*s[14])/132 - 
       (13709*s[15])/24 - (172687*s[16])/264 - (99713*s[17])/132 - 
       (18199*s[18])/108 + (2038*s[19])/27 - (360713*s[20])/297 - 
       (1580521*s[21])/2376 + (290731*s[22])/1188 - (96247*s[23])/264 + 
       (966611*s[24])/2376 - (4989601*s[25])/21384 + (8204851*s[26])/21384 + 
       3*s[29] - (3*s[30])/2 + 3*s[31] - (3*s[32])/2 - (129*s[33])/8 - 
       (9*s[34])/2 - 5*s[36] + s[37] + 10*s[38] - (65*s[39])/2 + 
       (73*s[40])/2 - (59*s[41])/2 + (89*s[42])/2 + (749*s[43])/22 - 
       (1387*s[44])/44 + (310*s[45])/11 - (5211*s[46])/22 + (151*s[47])/44 + 
       (481*s[48])/44 - (5249*s[49])/44 + (1761*s[50])/11 + (1297*s[51])/44 + 
       (1563*s[52])/44 - (3262*s[53])/33 - (300*s[54])/11 - 
       (90157*s[55])/132 - (28625*s[56])/132 + (40091*s[57])/99 - 
       (537187*s[58])/1188 + (510025*s[59])/1188 + (479483*s[60])/264 - 
       (1078471*s[61])/10692 - 3*s[66] + 8*s[68] - 8*s[69] + 24*s[70] + 
       3*s[76] - 32*s[77] + 6*s[79] - 2*s[80]) + 
     D26[u, v, w]*((43*s[4])/2 + (357*s[5])/44 + (1443*s[6])/44 + 
       (17665*s[7])/66 - (29377*s[8])/1188 - (23945*s[9])/108 - 
       (6295*s[10])/108 - (119705*s[11])/396 - (136219*s[12])/396 - 
       (43195*s[13])/198 - (1328*s[14])/99 - (12097*s[15])/36 - 
       (43304*s[16])/99 - (60961*s[17])/198 - (13621*s[18])/324 - 
       (3341*s[19])/81 - (890089*s[20])/1782 - (618281*s[21])/3564 + 
       (250685*s[22])/1782 + (67967*s[23])/198 + (265321*s[24])/891 - 
       (25615921*s[25])/64152 + (13314109*s[26])/64152 - s[36] + 
       (13*s[37])/6 + 11*s[38] - (169*s[39])/4 + (193*s[40])/4 - 
       (153*s[41])/4 + (245*s[42])/4 + (1691*s[43])/44 - (3517*s[44])/88 + 
       (4397*s[45])/132 - (20149*s[46])/66 + (3899*s[47])/264 + 
       (1721*s[48])/264 - (43025*s[49])/264 + (2490*s[50])/11 + 
       (10921*s[51])/264 + (10111*s[52])/264 - (29921*s[53])/198 + 
       (1141*s[54])/33 - (257441*s[55])/264 - (222349*s[56])/792 + 
       (221521*s[57])/594 - (3614945*s[58])/7128 + (3595073*s[59])/7128 + 
       (3955729*s[60])/1584 - (2067581*s[61])/16038 + 8*s[79] - 
       (5*s[80])/3) + B7[w, u, v]*HPL[{1}, 1 - u]*
      ((-3*s[2])/2 + (17*s[4])/4 + (537*s[5])/44 + (145*s[6])/11 + 
       (39617*s[7])/264 - (7505*s[8])/594 - (13859*s[9])/108 - 
       (4609*s[10])/108 - (125809*s[11])/792 - (66871*s[12])/396 - 
       (73261*s[13])/792 - (25435*s[14])/792 - (14999*s[15])/72 - 
       (100151*s[16])/396 - (166381*s[17])/792 - (10783*s[18])/324 - 
       (7013*s[19])/324 - (1120355*s[20])/3564 - (901867*s[21])/7128 + 
       (547181*s[22])/7128 + (62299*s[23])/396 + (576757*s[24])/3564 - 
       (12272473*s[25])/64152 + (7692445*s[26])/64152 - s[31] - (3*s[33])/2 + 
       2*s[34] + s[36]/3 + (5*s[37])/6 + 5*s[38] - 19*s[39] + (62*s[40])/3 - 
       14*s[41] + (161*s[42])/6 + (541*s[43])/33 - (529*s[44])/33 + 
       (844*s[45])/33 - (5285*s[46])/33 + (860*s[47])/99 - (394*s[48])/99 - 
       (14521*s[49])/198 + (4030*s[50])/33 + (3239*s[51])/198 + 
       (2987*s[52])/198 - (8956*s[53])/99 + (142*s[54])/33 - 
       (6396*s[55])/11 - (9473*s[56])/66 + (6473*s[57])/66 - 
       (71728*s[58])/297 + (75676*s[59])/297 + (1535305*s[60])/1188 - 
       (407743*s[61])/5346 + s[76] - (4*s[80])/3) + 
     B5[v, u, w]*HPL[{1}, 1 - u]*(-s[2] + (11*s[4])/2 + (15*s[5])/2 + 
       9*s[6] + (411*s[7])/4 - (260*s[8])/27 - (4687*s[9])/54 - 
       (1685*s[10])/54 - (3985*s[11])/36 - (2089*s[12])/18 - 
       (2365*s[13])/36 - (559*s[14])/36 - (5497*s[15])/36 - (3251*s[16])/18 - 
       (5581*s[17])/36 - (2441*s[18])/162 - (4315*s[19])/162 - 
       (34073*s[20])/162 - (27175*s[21])/324 + (16973*s[22])/324 + 
       (1753*s[23])/18 + (20269*s[24])/162 - (398575*s[25])/2916 + 
       (243091*s[26])/2916 - s[31] - 3*s[33] + 2*s[34] - (2*s[36])/3 + 
       s[37]/3 + 4*s[38] - 13*s[39] + (41*s[40])/3 - 11*s[41] + 
       (52*s[42])/3 + (41*s[43])/3 - (73*s[44])/6 + (47*s[45])/3 - 
       (340*s[46])/3 + (77*s[47])/18 + (11*s[48])/18 - (1109*s[49])/18 + 
       (278*s[50])/3 + (193*s[51])/18 + (157*s[52])/18 - (590*s[53])/9 - 
       (46*s[54])/3 - (2513*s[55])/6 - (505*s[56])/6 + 27*s[57] - 
       (8407*s[58])/54 + (9331*s[59])/54 + (105509*s[60])/108 - 
       (11656*s[61])/243 + 2*s[76] - (4*s[80])/3) + 
     B6[u, w, v]*HPL[{1}, 1 - u]*((9*s[4])/2 - 3*s[5] - s[6]/2 + 
       (19*s[7])/2 - (28*s[8])/27 - (877*s[9])/108 - (17*s[10])/27 - 
       (217*s[11])/18 - (139*s[12])/9 - (235*s[13])/18 + (97*s[14])/9 - 
       (301*s[15])/18 - (161*s[16])/9 - (65*s[17])/9 + (803*s[18])/162 - 
       (1229*s[19])/162 - (1477*s[20])/162 + (379*s[21])/81 + 
       (959*s[22])/162 + (199*s[23])/9 + (2717*s[24])/162 - 
       (16904*s[25])/729 + (6493*s[26])/1458 + (3*s[33])/4 + s[37]/3 - 
       3*s[39] + 5*s[40] - 5*s[41] + 6*s[42] + 3*s[43] - (9*s[44])/2 - 
       (4*s[45])/3 - (44*s[46])/3 - s[47]/6 + (5*s[48])/6 - (89*s[49])/6 + 
       18*s[50] + (7*s[51])/2 + (13*s[52])/6 - (76*s[53])/9 - (14*s[54])/3 - 
       (329*s[55])/6 - (97*s[56])/18 + (2639*s[57])/108 - (1792*s[58])/81 + 
       (2305*s[59])/81 + (1498*s[60])/9 + (6101*s[61])/2916 + 4*s[79] - 
       (4*s[80])/3) + B6[w, v, u]*HPL[{1}, 1 - v]*((3*s[2])/2 - 4*s[3] + 
       (15*s[4])/2 + (239*s[5])/44 + (529*s[6])/44 + (6541*s[7])/44 - 
       (14375*s[8])/1188 - (14077*s[9])/108 - (3851*s[10])/108 - 
       (67393*s[11])/396 - (77993*s[12])/396 - (11896*s[13])/99 - 
       (1225*s[14])/99 - (3235*s[15])/18 - (95353*s[16])/396 - 
       (15859*s[17])/99 - (1685*s[18])/81 - (3905*s[19])/162 - 
       (521159*s[20])/1782 - (355687*s[21])/3564 + (73520*s[22])/891 + 
       (15845*s[23])/99 + (606311*s[24])/3564 - (14105141*s[25])/64152 + 
       (7329941*s[26])/64152 - s[32]/2 - s[36] + (4*s[37])/3 + 8*s[38] - 
       (57*s[39])/2 + (65*s[40])/2 - (49*s[41])/2 + 40*s[42] + 
       (585*s[43])/22 - (595*s[44])/22 + (628*s[45])/33 - (11939*s[46])/66 + 
       (541*s[47])/66 + (409*s[48])/66 - (7651*s[49])/66 + (1498*s[50])/11 + 
       (884*s[51])/33 + (766*s[52])/33 - (8627*s[53])/99 + (191*s[54])/33 - 
       (36367*s[55])/66 - (28235*s[56])/198 + (143513*s[57])/594 - 
       (269063*s[58])/891 + (540097*s[59])/1782 + (599963*s[60])/396 - 
       (530318*s[61])/8019 + s[67] + s[69] - 2*s[73] + 4*s[79] - 
       (4*s[80])/3) + B6[v, w, u]*HPL[{1}, 1 - v]*(4*s[3] + 17*s[4] + 
       (129*s[5])/44 + (1057*s[6])/44 + (22483*s[7])/132 - 
       (18797*s[8])/1188 - (14641*s[9])/108 - (4259*s[10])/108 - 
       (77029*s[11])/396 - (87959*s[12])/396 - (28577*s[13])/198 + 
       (355*s[14])/198 - (1907*s[15])/9 - (111655*s[16])/396 - 
       (38747*s[17])/198 - (4177*s[18])/162 - (2584*s[19])/81 - 
       (271354*s[20])/891 - (367105*s[21])/3564 + (154201*s[22])/1782 + 
       (46309*s[23])/198 + (660827*s[24])/3564 - (16851863*s[25])/64152 + 
       (8528699*s[26])/64152 + s[32]/2 - s[36] + (4*s[37])/3 + 8*s[38] - 
       (57*s[39])/2 + (65*s[40])/2 - (49*s[41])/2 + 40*s[42] + 
       (585*s[43])/22 - (595*s[44])/22 + (628*s[45])/33 - (11939*s[46])/66 + 
       (541*s[47])/66 + (409*s[48])/66 - (7651*s[49])/66 + (1498*s[50])/11 + 
       (884*s[51])/33 + (766*s[52])/33 - (8627*s[53])/99 + (191*s[54])/33 - 
       (36367*s[55])/66 - (28235*s[56])/198 + (143513*s[57])/594 - 
       (269063*s[58])/891 + (540097*s[59])/1782 + (599963*s[60])/396 - 
       (530318*s[61])/8019 + s[67] + s[69] - 2*s[73] + 4*s[79] - 
       (4*s[80])/3) + D31[w, u, v]*((25*s[4])/2 + (129*s[5])/44 + 
       (727*s[6])/44 + (19733*s[7])/132 - (16421*s[8])/1188 - 
       (13399*s[9])/108 - (3665*s[10])/108 - (68515*s[11])/396 - 
       (80039*s[12])/396 - (12589*s[13])/99 + (157*s[14])/198 - 
       (3223*s[15])/18 - (96541*s[16])/396 - (31553*s[17])/198 - 
       (6779*s[18])/324 - (4295*s[19])/162 - (245119*s[20])/891 - 
       (319387*s[21])/3564 + (142321*s[22])/1782 + (76547*s[23])/396 + 
       (593705*s[24])/3564 - (14860379*s[25])/64152 + (7314167*s[26])/64152 - 
       s[36] + (4*s[37])/3 + 8*s[38] - 29*s[39] + 33*s[40] - 25*s[41] + 
       41*s[42] + (287*s[43])/11 - (595*s[44])/22 + (1289*s[45])/66 - 
       (12071*s[46])/66 + (607*s[47])/66 + (277*s[48])/66 - (7585*s[49])/66 + 
       (1531*s[50])/11 + (615*s[51])/22 + (1565*s[52])/66 - (8825*s[53])/99 + 
       (257*s[54])/33 - (18530*s[55])/33 - (14860*s[56])/99 + 
       (150641*s[57])/594 - (551491*s[58])/1782 + (550789*s[59])/1782 + 
       (604055*s[60])/396 - (2204135*s[61])/32076 + s[67] + s[68] + s[70] - 
       s[77] + 4*s[79] - (4*s[80])/3) + D31[v, w, u]*
      ((-3*s[2])/2 + (9*s[4])/4 - (7*s[5])/2 - (9*s[6])/4 - (299*s[7])/24 + 
       (107*s[8])/108 + (643*s[9])/54 + (113*s[10])/54 + (917*s[11])/72 + 
       (98*s[12])/9 + (335*s[13])/72 + (473*s[14])/72 + (1493*s[15])/72 + 
       (781*s[16])/36 + (1739*s[17])/72 + (349*s[18])/81 + (173*s[19])/324 + 
       (9517*s[20])/324 + (10811*s[21])/648 - (3847*s[22])/648 - 
       (281*s[23])/36 - (5405*s[24])/324 + (9265*s[25])/729 - 
       (8680*s[26])/729 - s[36] + s[37]/3 - s[38]/2 + (3*s[39])/4 + 
       (5*s[40])/4 - (5*s[41])/4 + s[42]/4 - (3*s[43])/4 - (11*s[44])/8 - 
       (61*s[45])/12 + (101*s[46])/6 - (13*s[47])/8 + (17*s[48])/8 + 
       (11*s[49])/8 - 5*s[50] + (19*s[51])/24 - s[52]/8 + (193*s[53])/18 - 
       (8*s[54])/3 + (1549*s[55])/24 + (1277*s[56])/72 + (203*s[57])/27 + 
       (12961*s[58])/648 - (14905*s[59])/648 - (11665*s[60])/144 + 
       (19165*s[61])/1458 + 2*s[63] + s[67] - s[70] + s[77] + 4*s[79] - 
       (4*s[80])/3) + B6[v, w, u]*HPL[{1}, 1 - u]*
      ((47*s[4])/4 + (643*s[5])/88 + (1377*s[6])/88 + (6047*s[7])/33 - 
       (4039*s[8])/264 - (3767*s[9])/24 - (1105*s[10])/24 - 
       (18121*s[11])/88 - (20457*s[12])/88 - (9269*s[13])/66 - 
       (553*s[14])/44 - (5659*s[15])/24 - (10081*s[16])/33 - 
       (7193*s[17])/33 - (761*s[18])/24 - (173*s[19])/6 - (47615*s[20])/132 - 
       (100681*s[21])/792 + (9770*s[22])/99 + (28889*s[23])/132 + 
       (20171*s[24])/99 - (3788735*s[25])/14256 + (2009939*s[26])/14256 - 
       s[36]/6 + (23*s[37])/12 + 9*s[38] - (241*s[39])/8 + (823*s[40])/24 - 
       (205*s[41])/8 + (1007*s[42])/24 + (6965*s[43])/264 - 
       (14863*s[44])/528 + (6421*s[45])/264 - (8953*s[46])/44 + 
       (17945*s[47])/1584 + (2435*s[48])/1584 - (189707*s[49])/1584 + 
       (5275*s[50])/33 + (48163*s[51])/1584 + (39133*s[52])/1584 - 
       (13457*s[53])/132 - (89*s[54])/22 - (114971*s[55])/176 - 
       (262213*s[56])/1584 + (303295*s[57])/1188 - (4810337*s[58])/14256 + 
       (4837193*s[59])/14256 + (16271147*s[60])/9504 - 
       (2550437*s[61])/32076 + 4*s[79] - (7*s[80])/6) + 
     B6[v, u, w]*HPL[{1}, 1 - u]*(-s[2] + (51*s[4])/4 + (1039*s[5])/88 + 
       (2301*s[6])/88 + (14195*s[7])/66 - (44051*s[8])/2376 - 
       (38797*s[9])/216 - (11369*s[10])/216 - (190699*s[11])/792 - 
       (210161*s[12])/792 - (65129*s[13])/396 - (2303*s[14])/99 - 
       (20405*s[15])/72 - (142631*s[16])/396 - (108701*s[17])/396 - 
       (21935*s[18])/648 - (3263*s[19])/81 - (1477907*s[20])/3564 - 
       (1119199*s[21])/7128 + (397381*s[22])/3564 + (46265*s[23])/198 + 
       (887185*s[24])/3564 - (39516599*s[25])/128304 + 
       (22164203*s[26])/128304 - s[31] - (9*s[33])/4 + s[34] - s[36]/6 + 
       (13*s[37])/12 + 10*s[38] - (265*s[39])/8 + (847*s[40])/24 - 
       (213*s[41])/8 + (1067*s[42])/24 + (8549*s[43])/264 - 
       (15655*s[44])/528 + (8357*s[45])/264 - (32051*s[46])/132 + 
       (17153*s[47])/1584 + (9563*s[48])/1584 - (219803*s[49])/1584 + 
       (5902*s[50])/33 + (45523*s[51])/1584 + (40717*s[52])/1584 - 
       (49765*s[53])/396 + (41*s[54])/66 - (140403*s[55])/176 - 
       (106999*s[56])/528 + (15611*s[57])/66 - (1821451*s[58])/4752 + 
       (1887427*s[59])/4752 + (19003811*s[60])/9504 - (270764*s[61])/2673 + 
       s[76] - (5*s[80])/6) + B6[w, v, u]*HPL[{1}, 1 - u]*
      ((21*s[4])/2 + (555*s[5])/88 + (1707*s[6])/88 + (40313*s[7])/264 - 
       (30169*s[8])/2376 - (27635*s[9])/216 - (7789*s[10])/216 - 
       (66733*s[11])/396 - (147109*s[12])/792 - (91835*s[13])/792 - 
       (15311*s[14])/792 - (7307*s[15])/36 - (50135*s[16])/198 - 
       (152711*s[17])/792 - (16519*s[18])/648 - (7393*s[19])/324 - 
       (529937*s[20])/1782 - (193205*s[21])/1782 + (567799*s[22])/7128 + 
       (68561*s[23])/396 + (303535*s[24])/1782 - (27874507*s[25])/128304 + 
       (15387367*s[26])/128304 - s[36]/2 + (13*s[37])/12 + 6*s[38] - 
       (171*s[39])/8 + (191*s[40])/8 - (151*s[41])/8 + (239*s[42])/8 + 
       (1757*s[43])/88 - (3495*s[44])/176 + (5519*s[45])/264 - 
       (22789*s[46])/132 + (3305*s[47])/528 + (2051*s[48])/528 - 
       (43883*s[49])/528 + (1410*s[50])/11 + (3281*s[51])/176 + 
       (10309*s[52])/528 - (35663*s[53])/396 + (1603*s[54])/66 - 
       (311627*s[55])/528 - (260959*s[56])/1584 + (162517*s[57])/1188 - 
       (3837299*s[58])/14256 + (3881579*s[59])/14256 + (4471387*s[60])/3168 - 
       (2430713*s[61])/32076 + 4*s[79] - (5*s[80])/6) + 
     B10[v, w, u]*HPL[{1}, 1 - u]*(-4*s[4] - (9*s[5])/2 - (13*s[6])/2 - 
       (493*s[7])/6 + (271*s[8])/54 + (3871*s[9])/54 + (1313*s[10])/54 + 
       (808*s[11])/9 + (1723*s[12])/18 + (1019*s[13])/18 + (227*s[14])/18 + 
       (1054*s[15])/9 + (1294*s[16])/9 + (2039*s[17])/18 + (2051*s[18])/162 + 
       (1349*s[19])/81 + (13840*s[20])/81 + (5233*s[21])/81 - 
       (7135*s[22])/162 - (551*s[23])/9 - (7976*s[24])/81 + 
       (324877*s[25])/2916 - (187321*s[26])/2916 + (2*s[36])/3 - s[37]/3 - 
       4*s[38] + (23*s[39])/2 - (73*s[40])/6 + (19*s[41])/2 - (89*s[42])/6 - 
       (73*s[43])/6 + (131*s[44])/12 - (73*s[45])/6 + (271*s[46])/3 - 
       (61*s[47])/36 - (127*s[48])/36 + (2143*s[49])/36 - (230*s[50])/3 - 
       (335*s[51])/36 - (245*s[52])/36 + (449*s[53])/9 + (76*s[54])/3 + 
       (3889*s[55])/12 + (707*s[56])/12 - 49*s[57] + (13991*s[58])/108 - 
       (15263*s[59])/108 - (172855*s[60])/216 + (8233*s[61])/243 - 
       (2*s[80])/3) + B10[w, u, v]*HPL[{1}, 1 - v]*(-8*s[3] - 14*s[4] - 
       (107*s[5])/22 - (683*s[6])/22 - (14051*s[7])/99 + (7819*s[8])/594 + 
       (5975*s[9])/54 + (1117*s[10])/54 + (33293*s[11])/198 + 
       (39493*s[12])/198 + (12704*s[13])/99 + (1174*s[14])/99 + 
       (2699*s[15])/18 + (22118*s[16])/99 + (1488*s[17])/11 + 
       (6055*s[18])/162 + (430*s[19])/81 + (230671*s[20])/891 + 
       (166157*s[21])/1782 - (61724*s[22])/891 - (24562*s[23])/99 - 
       (116051*s[24])/891 + (7207987*s[25])/32076 - (3860563*s[26])/32076 - 
       2*s[32] - (4*s[36])/3 - (4*s[37])/3 - 8*s[38] + (55*s[39])/2 - 
       (181*s[40])/6 + (39*s[41])/2 - (227*s[42])/6 - (1343*s[43])/66 + 
       (2905*s[44])/132 - (1379*s[45])/66 + (5471*s[46])/33 - 
       (5051*s[47])/396 - (1025*s[48])/396 + (32885*s[49])/396 - 
       (3268*s[50])/33 - (11437*s[51])/396 - (10519*s[52])/396 + 
       (6463*s[53])/99 - (1504*s[54])/33 + (18309*s[55])/44 + 
       (21649*s[56])/132 - (4056*s[57])/11 + (388561*s[58])/1188 - 
       (343009*s[59])/1188 - (2854853*s[60])/2376 + (194753*s[61])/2673 + 
       2*s[76] - (2*s[80])/3) + B10[v, w, u]*HPL[{1}, 1 - v]*
      (-3*s[2] - (7*s[4])/2 - (81*s[5])/11 - (463*s[6])/22 - (6339*s[7])/44 + 
       (5927*s[8])/594 + (3374*s[9])/27 + (730*s[10])/27 + 
       (66443*s[11])/396 + (19576*s[12])/99 + (50189*s[13])/396 + 
       (6599*s[14])/396 + (5269*s[15])/36 + (42817*s[16])/198 + 
       (49421*s[17])/396 + (3052*s[18])/81 - (23*s[19])/162 + 
       (495475*s[20])/1782 + (371573*s[21])/3564 - (276541*s[22])/3564 - 
       (38399*s[23])/198 - (241661*s[24])/1782 + (3439747*s[25])/16038 - 
       (1876321*s[26])/16038 - 3*s[33] + 2*s[34] - (4*s[36])/3 - 
       (4*s[37])/3 - 8*s[38] + (55*s[39])/2 - (181*s[40])/6 + (39*s[41])/2 - 
       (227*s[42])/6 - (1343*s[43])/66 + (2905*s[44])/132 - (1379*s[45])/66 + 
       (5471*s[46])/33 - (5051*s[47])/396 - (1025*s[48])/396 + 
       (32885*s[49])/396 - (3268*s[50])/33 - (11437*s[51])/396 - 
       (10519*s[52])/396 + (6463*s[53])/99 - (1504*s[54])/33 + 
       (18309*s[55])/44 + (21649*s[56])/132 - (4056*s[57])/11 + 
       (388561*s[58])/1188 - (343009*s[59])/1188 - (2854853*s[60])/2376 + 
       (194753*s[61])/2673 + 2*s[76] - (2*s[80])/3) + 
     B7[u, v, w]*HPL[{1}, 1 - u]*((35*s[4])/4 + (339*s[5])/44 + 
       (178*s[6])/11 + (40255*s[7])/264 - (247*s[8])/22 - (523*s[9])/4 - 
       (161*s[10])/4 - (14497*s[11])/88 - (7743*s[12])/44 - 
       (28043*s[13])/264 - (2083*s[14])/88 - (5111*s[15])/24 - 
       (16877*s[16])/66 - (54331*s[17])/264 - (895*s[18])/36 - 
       (923*s[19])/36 - (121289*s[20])/396 - (87863*s[21])/792 + 
       (21115*s[22])/264 + (10561*s[23])/66 + (3731*s[24])/22 - 
       (1494953*s[25])/7128 + (832985*s[26])/7128 + s[36]/3 + (5*s[37])/3 + 
       6*s[38] - (43*s[39])/2 + (145*s[40])/6 - (37*s[41])/2 + 
       (179*s[42])/6 + (1445*s[43])/66 - (2809*s[44])/132 + (1435*s[45])/66 - 
       (1857*s[46])/11 + (2549*s[47])/396 + (899*s[48])/396 - 
       (36467*s[49])/396 + (4327*s[50])/33 + (8623*s[51])/396 + 
       (6271*s[52])/396 - (6187*s[53])/66 + (18*s[54])/11 - 
       (78523*s[55])/132 - (54517*s[56])/396 + (32599*s[57])/297 - 
       (886817*s[58])/3564 + (944885*s[59])/3564 + (3359327*s[60])/2376 - 
       (524720*s[61])/8019 + 4*s[79] - (2*s[80])/3) + 
     B6[u, v, w]*HPL[{1}, 1 - u]*(12*s[4] + (863*s[5])/88 + (1971*s[6])/88 + 
       (16833*s[7])/88 - (15923*s[8])/792 - (11431*s[9])/72 - 
       (3167*s[10])/72 - (6860*s[11])/33 - (60755*s[12])/264 - 
       (35899*s[13])/264 - (5419*s[14])/264 - (1537*s[15])/6 - 
       (21031*s[16])/66 - (64243*s[17])/264 - (8189*s[18])/216 - 
       (2519*s[19])/108 - (110618*s[20])/297 - (165833*s[21])/1188 + 
       (233303*s[22])/2376 + (32563*s[23])/132 + (120773*s[24])/594 - 
       (11379581*s[25])/42768 + (6417809*s[26])/42768 - (3*s[33])/4 + s[34] - 
       s[36]/2 + (3*s[37])/4 + 6*s[38] - (199*s[39])/8 + (211*s[40])/8 - 
       (163*s[41])/8 + (291*s[42])/8 + (1713*s[43])/88 - (3539*s[44])/176 + 
       (2617*s[45])/88 - (9371*s[46])/44 + (5549*s[47])/528 - 
       (1777*s[48])/528 - (45335*s[49])/528 + (1718*s[50])/11 + 
       (12175*s[51])/528 + (11497*s[52])/528 - (15217*s[53])/132 + 
       (593*s[54])/22 - (394039*s[55])/528 - (38035*s[56])/176 + 
       (5765*s[57])/33 - (538943*s[58])/1584 + (537527*s[59])/1584 + 
       (5258063*s[60])/3168 - (63955*s[61])/594 - s[80]/2) + 
     B5[v, w, u]*HPL[{1}, 1 - u]*((9*s[4])/2 + (11*s[5])/2 + 8*s[6] + 
       (1129*s[7])/12 - (164*s[8])/27 - (4441*s[9])/54 - (1499*s[10])/54 - 
       (3667*s[11])/36 - (1915*s[12])/18 - (2305*s[13])/36 - (493*s[14])/36 - 
       (5065*s[15])/36 - (2987*s[16])/18 - (5041*s[17])/36 - 
       (2219*s[18])/162 - (3331*s[19])/162 - (15688*s[20])/81 - 
       (24067*s[21])/324 + (16175*s[22])/324 + (1369*s[23])/18 + 
       (18259*s[24])/162 - (372175*s[25])/2916 + (217393*s[26])/2916 - 
       (5*s[36])/3 + (4*s[37])/3 + 4*s[38] - 12*s[39] + (38*s[40])/3 - 
       10*s[41] + (46*s[42])/3 + (44*s[43])/3 - (38*s[44])/3 + (44*s[45])/3 - 
       (310*s[46])/3 + (65*s[47])/18 + (17*s[48])/18 - (1133*s[49])/18 + 
       (254*s[50])/3 + (181*s[51])/18 + (71*s[52])/9 - (542*s[53])/9 - 
       (58*s[54])/3 - (2335*s[55])/6 - (445*s[56])/6 + (70*s[57])/3 - 
       (7621*s[58])/54 + (8779*s[59])/54 + (98549*s[60])/108 - 
       (19037*s[61])/486 + (2*s[80])/3) + D25[w, v, u]*
      (-2*s[4] + 7*s[5] + s[6] + 37*s[7] - (241*s[8])/27 - (1769*s[9])/54 - 
       (236*s[10])/27 - (305*s[11])/9 - (325*s[12])/9 - (44*s[13])/9 - 
       (68*s[14])/9 - (470*s[15])/9 - (569*s[16])/9 - (491*s[17])/9 - 
       (1910*s[18])/81 + (797*s[19])/81 - (7082*s[20])/81 - (3917*s[21])/81 + 
       (1390*s[22])/81 + (763*s[23])/9 + (901*s[24])/81 - 
       (45919*s[25])/1458 + (49519*s[26])/1458 - (3*s[33])/2 + 2*s[34] - 
       (17*s[36])/3 - (2*s[37])/3 + 5*s[38] - (105*s[39])/4 + 
       (311*s[40])/12 - (79*s[41])/4 + (457*s[42])/12 + (3805*s[43])/132 - 
       (6467*s[44])/264 + (1571*s[45])/66 - (26909*s[46])/132 + 
       (5113*s[47])/792 - (5909*s[48])/792 - (108355*s[49])/792 + 
       (5692*s[50])/33 + (11663*s[51])/792 + (7433*s[52])/792 - 
       (49411*s[53])/396 - (2659*s[54])/66 - (197809*s[55])/264 - 
       (30755*s[56])/264 + (725*s[57])/33 - (644669*s[58])/2376 + 
       (748631*s[59])/2376 + (8477545*s[60])/4752 - (1491553*s[61])/21384 + 
       s[62] + s[71] - 8*s[79] + (2*s[80])/3) + 
     D26[u, w, v]*((-3*s[3])/2 - (21*s[4])/4 + s[5]/2 - (19*s[6])/4 - 
       (437*s[7])/8 + (139*s[8])/36 + (433*s[9])/9 + (134*s[10])/9 + 
       (1663*s[11])/24 + (253*s[12])/3 + (1357*s[13])/24 - (317*s[14])/24 + 
       (1411*s[15])/24 + (1067*s[16])/12 + (1153*s[17])/24 + (35*s[18])/27 + 
       (2197*s[19])/108 + (9857*s[20])/108 + (5365*s[21])/216 - 
       (6725*s[22])/216 - (685*s[23])/12 - (7243*s[24])/108 + 
       (94625*s[25])/972 - (39995*s[26])/972 + s[36] - s[37]/2 - 5*s[38] + 
       (53*s[39])/4 - (65*s[40])/4 + (41*s[41])/4 - (69*s[42])/4 - 
       (49*s[43])/4 + (103*s[44])/8 - (33*s[45])/4 + (127*s[46])/2 - 
       (73*s[47])/24 - (115*s[48])/24 + (1459*s[49])/24 - 54*s[50] - 
       (323*s[51])/24 - (197*s[52])/24 + (161*s[53])/6 + 29*s[54] + 
       (3907*s[55])/24 + (215*s[56])/8 - (805*s[57])/6 + (8443*s[58])/72 - 
       (8347*s[59])/72 - (86131*s[60])/144 + 15*s[61] + s[80]) + 
     F1[v, w, u]*Phi6[u, v, w]*(s[4] + (21*s[5])/4 + (39*s[6])/4 + 
       (775*s[7])/12 - (631*s[8])/72 - (3619*s[9])/72 - (1043*s[10])/72 - 
       (3361*s[11])/48 - (451*s[12])/6 - (737*s[13])/16 - (211*s[14])/48 - 
       (189*s[15])/2 - (1861*s[16])/16 - (4577*s[17])/48 - (1211*s[18])/216 - 
       (1769*s[19])/108 - (24401*s[20])/216 - (18733*s[21])/432 + 
       (13271*s[22])/432 + (1215*s[23])/16 + (35873*s[24])/432 - 
       (180617*s[25])/1944 + (48967*s[26])/972 - (3*s[33])/4 - s[37]/2 + 
       3*s[38] - 7*s[39] + 4*s[40] - s[41] + (79*s[42])/8 + 7*s[43] - 
       (23*s[44])/8 + (27*s[45])/2 - 74*s[46] + (17*s[47])/6 - (2*s[48])/3 - 
       (683*s[49])/24 + (103*s[50])/2 + (127*s[51])/24 + (91*s[52])/24 - 
       (377*s[53])/8 + 4*s[54] - (890*s[55])/3 - (1903*s[56])/24 + 
       (89*s[57])/36 - (2854*s[58])/27 + (26279*s[59])/216 + 
       (81689*s[60])/144 - (174673*s[61])/3888 - 6*s[79] + 2*s[80]) + 
     D29[v, w, u]*(-10*s[4] + 7*s[5] + 7*s[6] - 15*s[7] + (119*s[8])/27 + 
       (380*s[9])/27 - (29*s[10])/27 + (181*s[11])/9 + (269*s[12])/9 + 
       (190*s[13])/9 - (302*s[14])/9 + (250*s[15])/9 + (205*s[16])/9 + 
       (58*s[17])/9 - (1055*s[18])/81 + (1454*s[19])/81 + (550*s[20])/81 - 
       (1469*s[21])/81 - (860*s[22])/81 - (1291*s[23])/18 - (2429*s[24])/81 + 
       (64169*s[25])/1458 - (2573*s[26])/1458 - 2*s[29] - (2*s[37])/3 + 
       6*s[39] - 10*s[40] + 10*s[41] - 12*s[42] - 6*s[43] + 9*s[44] + 
       (8*s[45])/3 + (76*s[46])/3 + s[47]/3 - (5*s[48])/3 + (83*s[49])/3 - 
       36*s[50] - 9*s[51] - (13*s[52])/3 + (152*s[53])/9 + (16*s[54])/3 + 
       (299*s[55])/3 + (79*s[56])/9 - (1378*s[57])/27 + (3377*s[58])/81 - 
       (4403*s[59])/81 - (6265*s[60])/18 - (7294*s[61])/729 + 2*s[68] + 
       s[75] - 8*s[79] + (8*s[80])/3) + D26[w, v, u]*
      (6*s[2] + (33*s[4])/2 + (533*s[5])/44 + (1575*s[6])/44 + 
       (9707*s[7])/33 - (9631*s[8])/396 - (9005*s[9])/36 - (2281*s[10])/36 - 
       (42857*s[11])/132 - (48193*s[12])/132 - (2459*s[13])/11 - 
       (2275*s[14])/66 - (4457*s[15])/12 - (5254*s[16])/11 - 
       (11185*s[17])/33 - (6523*s[18])/108 - (539*s[19])/27 - 
       (343945*s[20])/594 - (242885*s[21])/1188 + (46498*s[22])/297 + 
       (8075*s[23])/22 + (90523*s[24])/297 - (8964091*s[25])/21384 + 
       (4768975*s[26])/21384 + 4*s[31] + (9*s[33])/2 - 2*s[34] - s[36] + 
       (3*s[37])/2 + 11*s[38] - (169*s[39])/4 + (181*s[40])/4 - 
       (133*s[41])/4 + (241*s[42])/4 + (1471*s[43])/44 - (3033*s[44])/88 + 
       (1979*s[45])/44 - (7215*s[46])/22 + (1637*s[47])/88 - (233*s[48])/88 - 
       (12831*s[49])/88 + (2578*s[50])/11 + (3479*s[51])/88 + 
       (3297*s[52])/88 - (3701*s[53])/22 + (439*s[54])/11 - 
       (94863*s[55])/88 - (28465*s[56])/88 + (12124*s[57])/33 - 
       (431341*s[58])/792 + (419101*s[59])/792 + (449533*s[60])/176 - 
       (139175*s[61])/891 - 4*s[76] + 3*s[80]) + 
     D26[v, w, u]*((3*s[3])/2 - (21*s[4])/4 + (3*s[5])/2 + (5*s[6])/4 - 
       (245*s[7])/8 + (71*s[8])/36 + (227*s[9])/9 + (52*s[10])/9 + 
       (1079*s[11])/24 + (182*s[12])/3 + (1013*s[13])/24 - (613*s[14])/24 + 
       (659*s[15])/24 + (571*s[16])/12 + (257*s[17])/24 - (191*s[18])/27 + 
       (2441*s[19])/108 + (4225*s[20])/108 - (259*s[21])/216 - 
       (4009*s[22])/216 - (449*s[23])/12 - (6143*s[24])/108 + 
       (69433*s[25])/972 - (19951*s[26])/972 + 2*s[30] + s[36] - s[37]/2 - 
       6*s[38] + (45*s[39])/4 - (49*s[40])/4 + (33*s[41])/4 - (45*s[42])/4 - 
       (57*s[43])/4 + (95*s[44])/8 - (17*s[45])/4 + (87*s[46])/2 - 
       (17*s[47])/24 - (251*s[48])/24 + (1499*s[49])/24 - 34*s[50] - 
       (73*s[51])/8 - (157*s[52])/24 + (85*s[53])/6 + 29*s[54] + 
       (705*s[55])/8 - (49*s[56])/8 - (272*s[57])/3 + (1801*s[58])/24 - 
       (707*s[59])/8 - (66995*s[60])/144 + (259*s[61])/162 - 2*s[70] - 
       4*s[76] + 2*s[77] + 3*s[80]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - u]*(68*s[2] - 168*s[3] - (837*s[4])/2 + 
       (6273*s[5])/22 + (2040*s[6])/11 + (1871*s[7])/66 + (30059*s[8])/99 - 
       (3749*s[9])/9 - (5759*s[10])/18 + (6625*s[11])/33 + (51349*s[12])/66 + 
       (34609*s[13])/66 - (59621*s[14])/33 - (791*s[15])/6 + 
       (2737*s[16])/66 - (10931*s[17])/11 - (10972*s[18])/27 + 
       (15712*s[19])/27 - (481994*s[20])/297 - (891091*s[21])/594 + 
       (37069*s[22])/297 - (211247*s[23])/66 - (96841*s[24])/594 + 
       (3468889*s[25])/2673 + (847646*s[26])/2673 - 4*s[27] - 4*s[29] - 
       6*s[30] + 4*s[31] - 6*s[32] - (81*s[33])/2 - 18*s[34] - 8*s[36] - 
       6*s[37] - 32*s[38] + 95*s[39] - 123*s[40] + 87*s[41] - 131*s[42] - 
       (981*s[43])/11 + (2191*s[44])/22 - (1075*s[45])/11 + (7760*s[46])/11 - 
       (1313*s[47])/66 - (2435*s[48])/66 + (33419*s[49])/66 - 
       (7572*s[50])/11 - (2033*s[51])/22 - (3229*s[52])/66 + 
       (14126*s[53])/33 + (628*s[54])/11 + (179687*s[55])/66 + 
       (9231*s[56])/22 - (1982*s[57])/33 + (56021*s[58])/66 - 
       (68377*s[59])/66 - (2850311*s[60])/396 + (151979*s[61])/891 - 
       4*s[64] - 4*s[66] + 32*s[68] - 24*s[69] + 64*s[70] + 4*s[76] - 
       80*s[77] - 24*s[79] + 4*s[80]) + B10[w, u, v]*HPL[{1}, 1 - u]*
      (-14*s[4] - (107*s[5])/22 - (529*s[6])/22 - (17351*s[7])/99 + 
       (3017*s[8])/198 + (2689*s[9])/18 + (575*s[10])/18 + (13349*s[11])/66 + 
       (7882*s[12])/33 + (14464*s[13])/99 + (1043*s[14])/66 + 
       (3685*s[15])/18 + (27805*s[16])/99 + (35353*s[17])/198 + 
       (1867*s[18])/54 + (388*s[19])/27 + (201407*s[20])/594 + 
       (7883*s[21])/66 - (56201*s[22])/594 - (53293*s[23])/198 - 
       (108281*s[24])/594 + (940123*s[25])/3564 - (502561*s[26])/3564 - 
       (4*s[36])/3 - s[37] - 8*s[38] + (69*s[39])/2 - (247*s[40])/6 + 
       (61*s[41])/2 - (311*s[42])/6 - (1673*s[43])/66 + (4027*s[44])/132 - 
       (423*s[45])/22 + (6571*s[46])/33 - (5183*s[47])/396 - 
       (1553*s[48])/396 + (44501*s[49])/396 - (4687*s[50])/33 - 
       (13681*s[51])/396 - (12565*s[52])/396 + (8663*s[53])/99 - 
       (1328*s[54])/33 + (73055*s[55])/132 + (77135*s[56])/396 - 
       (129620*s[57])/297 + (1367335*s[58])/3564 - (1296019*s[59])/3564 - 
       (3722489*s[60])/2376 + (1305347*s[61])/16038 - 8*s[79] + 4*s[80]) + 
     F1[w, u, v]*Phi6[u, v, w]*((3*s[2])/4 + (33*s[3])/8 - (85*s[4])/16 + 
       (289*s[5])/88 + (3727*s[6])/176 + (93083*s[7])/3168 + 
       (30829*s[8])/4752 - (4481*s[9])/216 - (4249*s[10])/216 - 
       (77555*s[11])/3168 - (5563*s[12])/792 - (17863*s[13])/1056 - 
       (160019*s[14])/3168 - (1325*s[15])/32 - (9355*s[16])/176 - 
       (265885*s[17])/3168 - (11047*s[18])/648 + (12071*s[19])/1296 - 
       (1107289*s[20])/14256 - (1733537*s[21])/28512 + (304225*s[22])/28512 - 
       (18629*s[23])/528 + (430283*s[24])/14256 - (1306519*s[25])/128304 + 
       (5331499*s[26])/128304 - s[30]/2 - s[32]/2 - s[33] + s[34]/2 + 
       s[35]/2 - (4*s[36])/3 - (13*s[37])/4 + (87*s[39])/8 - (205*s[40])/24 + 
       (47*s[41])/8 - (461*s[42])/24 + (2341*s[43])/264 + (881*s[44])/264 + 
       (2949*s[45])/88 - (7069*s[46])/66 - (14797*s[47])/792 + 
       (3055*s[48])/99 - (8123*s[49])/792 + (5059*s[50])/66 - 
       (1387*s[51])/99 - (1327*s[52])/396 - (25123*s[53])/396 - 
       (797*s[54])/132 - (131765*s[55])/264 - (117323*s[56])/792 - 
       (120721*s[57])/594 - (98975*s[58])/891 + (883213*s[59])/7128 + 
       (2300611*s[60])/2376 - (10491287*s[61])/128304 - s[71]/2 - s[72] + 
       s[73] + s[74]/4 - s[75]/4 + s[76] + s[77]/2 - s[78] - 4*s[79] + 
       (9*s[80])/2) + D29[w, u, v]*(8*s[3] + 50*s[4] + 39*s[5] + 69*s[6] + 
       (2440*s[7])/3 - (1376*s[8])/27 - (18890*s[9])/27 - (6355*s[10])/27 - 
       (8041*s[11])/9 - (8627*s[12])/9 - (5158*s[13])/9 - (1859*s[14])/18 - 
       (10447*s[15])/9 - (12670*s[16])/9 - (10036*s[17])/9 - 
       (9874*s[18])/81 - (14051*s[19])/81 - (270161*s[20])/162 - 
       (48133*s[21])/81 + (69781*s[22])/162 + (13963*s[23])/18 + 
       (78089*s[24])/81 - (829510*s[25])/729 + (453922*s[26])/729 + 2*s[31] - 
       2*s[34] + (10*s[37])/3 + 31*s[38] - (173*s[39])/2 + (181*s[40])/2 - 
       71*s[41] + 110*s[42] + (1839*s[43])/22 - (3467*s[44])/44 + 
       (6635*s[45])/66 - (22849*s[46])/33 + (2479*s[47])/132 + 
       (3337*s[48])/132 - (50953*s[49])/132 + (11873*s[50])/22 + 
       (10015*s[51])/132 + (7937*s[52])/132 - (36710*s[53])/99 - 
       (2951*s[54])/66 - (321499*s[55])/132 - (222889*s[56])/396 + 
       (111703*s[57])/297 - (3607781*s[58])/3564 + (3819623*s[59])/3564 + 
       (1576627*s[60])/264 - (4547911*s[61])/16038 + s[64] + s[65] - s[71] + 
       s[75] + (20*s[80])/3) + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1}, 1 - v]*
      ((69*s[2])/4 - (69*s[3])/8 - (2643*s[4])/16 - (2103*s[5])/88 - 
       (21863*s[6])/176 - (569895*s[7])/352 + (100777*s[8])/528 + 
       (7945*s[9])/6 + (2165*s[10])/6 + (640653*s[11])/352 + 
       (91999*s[12])/44 + (443455*s[13])/352 - (50927*s[14])/352 + 
       (68369*s[15])/32 + (239787*s[16])/88 + (667915*s[17])/352 + 
       (7441*s[18])/36 + (49097*s[19])/144 + (4605353*s[20])/1584 + 
       (2753563*s[21])/3168 - (2693699*s[22])/3168 - (223017*s[23])/88 - 
       (175330*s[24])/99 + (35894993*s[25])/14256 - (16642121*s[26])/14256 - 
       (3*s[30])/2 - (35*s[33])/2 + (3*s[34])/2 + (3*s[35])/2 - (7*s[36])/2 - 
       (37*s[37])/4 - (133*s[38])/2 + (1157*s[39])/4 - (1279*s[40])/4 + 
       (505*s[41])/2 - (1721*s[42])/4 - (9983*s[43])/44 + (45959*s[44])/176 - 
       (18077*s[45])/88 + (170497*s[46])/88 - (20479*s[47])/176 + 
       (3677*s[48])/176 + (194229*s[49])/176 - (33897*s[50])/22 - 
       (51787*s[51])/176 - (36697*s[52])/176 + (46785*s[53])/44 - 
       (277*s[54])/11 + (3413873*s[55])/528 + (279907*s[56])/176 - 
       (593077*s[57])/264 + (4863295*s[58])/1584 - (5083525*s[59])/1584 - 
       (16670581*s[60])/1056 + (10703509*s[61])/14256 - 3*s[67] + 8*s[68] - 
       11*s[69] + 24*s[70] - 3*s[72] + 3*s[73] + (9*s[74])/4 - (9*s[75])/4 + 
       3*s[76] - (61*s[77])/2 - 3*s[78] - 36*s[79] + (15*s[80])/2) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1}, 1 - w]*
      ((-21*s[2])/4 + (127*s[3])/8 - (1385*s[4])/16 - (3609*s[5])/44 - 
       (30795*s[6])/176 - (1811633*s[7])/1056 + (204299*s[8])/1584 + 
       (26645*s[9])/18 + (33757*s[10])/72 + (1980743*s[11])/1056 + 
       (532909*s[12])/264 + (429243*s[13])/352 + (239171*s[14])/1056 + 
       (72829*s[15])/32 + (125685*s[16])/44 + (2368681*s[17])/1056 + 
       (15073*s[18])/54 + (111523*s[19])/432 + (15874027*s[20])/4752 + 
       (12155261*s[21])/9504 - (8685481*s[22])/9504 - (40819*s[23])/22 - 
       (4443199*s[24])/2376 + (100838029*s[25])/42768 - 
       (56486785*s[26])/42768 - 2*s[30] - 3*s[31] + (9*s[32])/2 - 
       (15*s[33])/8 + 6*s[34] + (3*s[35])/2 - (3*s[36])/2 - (131*s[37])/12 - 
       55*s[38] + (1045*s[39])/4 - (1175*s[40])/4 + (447*s[41])/2 - 
       (1565*s[42])/4 - (8777*s[43])/44 + (42755*s[44])/176 - 
       (41083*s[45])/264 + (427687*s[46])/264 - (17859*s[47])/176 + 
       (7089*s[48])/176 + (168769*s[49])/176 - (14041*s[50])/11 - 
       (141917*s[51])/528 - (34461*s[52])/176 + (342427*s[53])/396 - 
       (4607*s[54])/66 + (904423*s[55])/176 + (2017151*s[56])/1584 - 
       (5297461*s[57])/2376 + (37548235*s[58])/14256 - 
       (38700217*s[59])/14256 - (41204491*s[60])/3168 + 
       (76436449*s[61])/128304 + s[65] - 3*s[67] + 8*s[68] - 11*s[69] + 
       24*s[70] - s[71] - 3*s[72] + 3*s[73] + (9*s[74])/4 - (9*s[75])/4 + 
       3*s[76] - (61*s[77])/2 - 3*s[78] - 36*s[79] + (85*s[80])/6) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1}, 1 - v]*(41*s[2] - (165*s[3])/2 - 
       (3099*s[4])/4 - (3439*s[5])/22 - (30447*s[6])/44 - 
       (2070037*s[7])/264 + (342955*s[8])/396 + (57482*s[9])/9 + 
       (16174*s[10])/9 + (2327863*s[11])/264 + (332461*s[12])/33 + 
       (537359*s[13])/88 - (118301*s[14])/264 + (247475*s[15])/24 + 
       (290459*s[16])/22 + (2458673*s[17])/264 + (30577*s[18])/27 + 
       (168035*s[19])/108 + (16983299*s[20])/1188 + (10728625*s[21])/2376 - 
       (9708233*s[22])/2376 - (259473*s[23])/22 - (2540998*s[24])/297 + 
       (128350859*s[25])/10692 - (61784915*s[26])/10692 + 8*s[28] - 6*s[30] - 
       4*s[32] - 38*s[33] + 6*s[34] + 6*s[35] + 2*s[36] - 41*s[37] - 
       338*s[38] + 1337*s[39] - 1475*s[40] + 1154*s[41] - 1949*s[42] - 
       (11747*s[43])/11 + (53007*s[44])/44 - (22597*s[45])/22 + 
       (201185*s[46])/22 - (69109*s[47])/132 + (3887*s[48])/132 + 
       (678391*s[49])/132 - (79198*s[50])/11 - (174697*s[51])/132 - 
       (131411*s[52])/132 + (161611*s[53])/33 + (808*s[54])/11 + 
       (1336547*s[55])/44 + (1001137*s[56])/132 - (2081051*s[57])/198 + 
       (17397893*s[58])/1188 - (17958503*s[59])/1188 - (59292055*s[60])/792 + 
       (38929367*s[61])/10692 - 12*s[67] + 32*s[68] - 28*s[69] + 64*s[70] - 
       12*s[72] - 4*s[73] + 9*s[74] - 9*s[75] - 4*s[76] - 74*s[77] - 
       12*s[78] - 144*s[79] + 30*s[80]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - w]*(-21*s[2] + 105*s[3] - 374*s[4] - 
       (4772*s[5])/11 - (8874*s[6])/11 - (1091003*s[7])/132 + 
       (118243*s[8])/198 + (129641*s[9])/18 + (20261*s[10])/9 + 
       (299248*s[11])/33 + (648499*s[12])/66 + (390163*s[13])/66 + 
       (80081*s[14])/66 + (131407*s[15])/12 + (1827509*s[16])/132 + 
       (236871*s[17])/22 + (38489*s[18])/27 + (64541*s[19])/54 + 
       (9807101*s[20])/594 + (1857040*s[21])/297 - (2644135*s[22])/594 - 
       (1157131*s[23])/132 - (10734353*s[24])/1188 + (120903991*s[25])/
        10692 - (68275465*s[26])/10692 - 6*s[30] - 12*s[31] + 25*s[32] - 
       (15*s[33])/2 + 24*s[34] + 6*s[35] + 8*s[36] - 53*s[37] - 305*s[38] + 
       1268*s[39] - 1412*s[40] + (2169*s[41])/2 - (3725*s[42])/2 - 
       (10980*s[43])/11 + (51055*s[44])/44 - (9820*s[45])/11 + 
       (91745*s[46])/11 - (65579*s[47])/132 + (11377*s[48])/132 + 
       (629213*s[49])/132 - (143481*s[50])/22 - (55315*s[51])/44 - 
       (127843*s[52])/132 + (290195*s[53])/66 - (1329*s[54])/22 + 
       (1188049*s[55])/44 + (299369*s[56])/44 - (699637*s[57])/66 + 
       (5371673*s[58])/396 - (5503295*s[59])/396 - (53600903*s[60])/792 + 
       (1935859*s[61])/594 + 3*s[65] - 12*s[67] + 32*s[68] - 28*s[69] + 
       64*s[70] - 3*s[71] - 12*s[72] - 4*s[73] + 9*s[74] - 9*s[75] - 
       4*s[76] - 74*s[77] - 12*s[78] - 144*s[79] + 50*s[80]) + 
     HPL[{1}, 1 - u]^2*Qep[v, u, w]*((184*s[4])/3 + (4240*s[5])/33 + 
       (2164*s[6])/11 + (64540*s[7])/33 - (57140*s[8])/297 - 
       (44284*s[9])/27 - (16520*s[10])/27 - (185494*s[11])/99 - 
       (170942*s[12])/99 - (99028*s[13])/99 - (51388*s[14])/99 - 
       (10780*s[15])/3 - (355516*s[16])/99 - (366886*s[17])/99 - 
       (12668*s[18])/81 - (38404*s[19])/81 - (3585136*s[20])/891 - 
       (1378756*s[21])/891 + (856640*s[22])/891 + (141950*s[23])/99 + 
       (2089598*s[24])/891 - (18956698*s[25])/8019 + (11839642*s[26])/8019 + 
       (128*s[37])/9 - (304*s[39])/3 + (304*s[40])/3 - (152*s[41])/3 + 
       (760*s[42])/3 + (2672*s[43])/11 - (3964*s[44])/33 + (11824*s[45])/33 - 
       (70112*s[46])/33 - (2324*s[47])/99 + (14572*s[48])/99 - 
       (81820*s[49])/99 + (55456*s[50])/33 + (1228*s[51])/33 - 
       (1396*s[52])/99 - (162632*s[53])/99 + (864*s[54])/11 - 
       (1040164*s[55])/99 - (81316*s[56])/33 - (105040*s[57])/33 - 
       (581228*s[58])/297 + (918308*s[59])/297 + (5421374*s[60])/297 - 
       (2889316*s[61])/2673 - 128*s[82]) + HPL[{1}, 1 - v]^2*Qep[u, v, w]*
      ((808*s[4])/9 - (8032*s[5])/33 - (5624*s[6])/33 - (451772*s[7])/297 - 
       (30520*s[8])/891 + (119920*s[9])/81 + (54464*s[10])/81 + 
       (439108*s[11])/297 + (353384*s[12])/297 + (171572*s[13])/297 + 
       (288028*s[14])/297 + (72100*s[15])/27 + (855320*s[16])/297 + 
       (306932*s[17])/99 + (126800*s[18])/243 + (14776*s[19])/243 + 
       (10706680*s[20])/2673 + (5393812*s[21])/2673 - (2191988*s[22])/2673 - 
       (318928*s[23])/297 - (4106768*s[24])/2673 + (31532752*s[25])/24057 - 
       (31951072*s[26])/24057 - (272*s[38])/9 + (520*s[39])/3 - 
       (520*s[40])/3 + (1304*s[41])/9 - (2200*s[42])/9 - (10024*s[43])/99 + 
       (14252*s[44])/99 - (2216*s[45])/11 + (147952*s[46])/99 - 
       (17636*s[47])/297 + (42820*s[48])/297 + (195116*s[49])/297 - 
       (41296*s[50])/33 - (10564*s[51])/99 - (20932*s[52])/297 + 
       (283792*s[53])/297 + (7904*s[54])/33 + (581092*s[55])/99 + 
       (102956*s[56])/99 - (222368*s[57])/297 + (1925276*s[58])/891 - 
       (2198828*s[59])/891 - (10721566*s[60])/891 + (549280*s[61])/891 - 
       128*s[82]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[v, u, w]*
      (88*s[4] - (3760*s[5])/33 - (252*s[6])/11 + (4828*s[7])/33 - 
       (52292*s[8])/297 - (316*s[9])/27 + (1720*s[10])/27 - 
       (21886*s[11])/99 - (44366*s[12])/99 - (28444*s[13])/99 + 
       (106244*s[14])/99 - (268*s[15])/9 - (19420*s[16])/99 + 
       (32858*s[17])/99 + (7804*s[18])/81 - (12364*s[19])/81 + 
       (789776*s[20])/891 + (634412*s[21])/891 + (55688*s[22])/891 + 
       (191486*s[23])/99 + (4094*s[24])/891 - (6080638*s[25])/8019 - 
       (1291514*s[26])/8019 + (32*s[38])/3 - 208*s[39] + 208*s[40] - 
       (304*s[41])/3 + 440*s[42] + (2480*s[43])/33 - (604*s[44])/11 - 
       (1328*s[45])/11 - (1216*s[46])/11 + (6092*s[47])/33 - 
       (4820*s[48])/33 - (3452*s[49])/11 + (11648*s[50])/33 + 
       (4148*s[51])/11 + (4540*s[52])/33 - (3848*s[53])/33 - 
       (12592*s[54])/33 + (144884*s[55])/99 + (26788*s[56])/33 + 
       (409480*s[57])/99 - (252404*s[58])/297 + (197396*s[59])/297 - 
       (129058*s[60])/99 + (57220*s[61])/2673 - 96*s[82]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - v]*(-24*s[3] - 129*s[4] - 
       (369*s[5])/11 - (3395*s[6])/22 - (22841*s[7])/22 + (9709*s[8])/66 + 
       (4673*s[9])/6 + (1075*s[10])/6 + (46767*s[11])/44 + (12499*s[12])/11 + 
       (31573*s[13])/44 + (5091*s[14])/44 + (2977*s[15])/2 + 
       (76679*s[16])/44 + (66139*s[17])/44 + (1939*s[18])/18 + 
       (2074*s[19])/9 + (378833*s[20])/198 + (225211*s[21])/396 - 
       (191567*s[22])/396 - (41121*s[23])/44 - (491477*s[24])/396 + 
       (1361572*s[25])/891 - (1308497*s[26])/1782 - 12*s[32] + 4*s[37] + 
       5*s[38] + 32*s[39] - 32*s[40] + (61*s[41])/2 - (79*s[42])/2 - 
       (1667*s[43])/22 + (1235*s[44])/22 - (2619*s[45])/11 + 
       (13323*s[46])/11 - (57*s[47])/22 - (45*s[48])/11 + (1741*s[49])/11 - 
       (9169*s[50])/11 - (2213*s[51])/66 - (553*s[52])/22 + 
       (17591*s[53])/22 - (4514*s[54])/11 + (369977*s[55])/66 + 
       (17519*s[56])/11 + (59771*s[57])/33 + (122189*s[58])/99 - 
       (275725*s[59])/198 - (1314941*s[60])/132 + (626075*s[61])/891 - 
       87*s[82]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - u]*
      (-105*s[4] - (1337*s[5])/11 - (2121*s[6])/11 - (43015*s[7])/22 + 
       (17341*s[8])/99 + (14903*s[9])/9 + (4852*s[10])/9 + (66296*s[11])/33 + 
       (67549*s[12])/33 + (38252*s[13])/33 + (14909*s[14])/33 + 
       (18353*s[15])/6 + (225673*s[16])/66 + (101483*s[17])/33 + 
       (8785*s[18])/27 + (9092*s[19])/27 + (1217123*s[20])/297 + 
       (452810*s[21])/297 - (297733*s[22])/297 - (119063*s[23])/66 - 
       (1339031*s[24])/594 + (13452193*s[25])/5346 - (7964317*s[26])/5346 + 
       (52*s[36])/3 + (50*s[37])/3 - 24*s[38] + 162*s[39] - (538*s[40])/3 + 
       150*s[41] - (791*s[42])/3 - (5300*s[43])/33 + (6434*s[44])/33 - 
       (11014*s[45])/33 + (23498*s[46])/11 - (7753*s[47])/99 + 
       (7229*s[48])/99 + (65950*s[49])/99 - (54710*s[50])/33 - 
       (12620*s[51])/99 - (12812*s[52])/99 + (44839*s[53])/33 - 
       (4162*s[54])/11 + (300109*s[55])/33 + (231668*s[56])/99 + 
       (291880*s[57])/297 + (2339698*s[58])/891 - (2681581*s[59])/891 - 
       (5327591*s[60])/297 + (8776132*s[61])/8019 - 32*s[79] + (28*s[80])/3 - 
       87*s[82]) + HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 1}, 1 - w]*
      (s[3] + (17*s[4])/12 + (49*s[5])/4 + 17*s[6] + (2327*s[7])/72 - 
       (71*s[8])/9 - (1511*s[9])/36 + (1079*s[10])/36 - (1177*s[11])/24 - 
       (2009*s[12])/24 - (893*s[13])/36 + (259*s[14])/12 + (2389*s[15])/72 - 
       (2023*s[16])/72 + (4495*s[17])/72 - (6049*s[18])/54 + 
       (13751*s[19])/108 - (3865*s[20])/54 - (1051*s[21])/9 + 
       (2267*s[22])/108 + (22267*s[23])/36 - (3847*s[24])/27 - 
       (10939*s[25])/648 + (50917*s[26])/648 + s[32]/6 + (5*s[37])/6 + 
       (55*s[38])/6 - (371*s[39])/6 + (371*s[40])/6 - (791*s[41])/12 + 
       (311*s[42])/3 + (16*s[43])/3 - (43*s[44])/2 - 33*s[45] - 20*s[46] + 
       (2255*s[47])/36 - (1541*s[48])/18 - (887*s[49])/36 - (91*s[50])/6 + 
       (2309*s[51])/36 + (1217*s[52])/18 + (1709*s[53])/36 + (379*s[54])/6 + 
       (4424*s[55])/9 - (575*s[56])/12 + (10339*s[57])/6 - 
       (54985*s[58])/108 + (43075*s[59])/108 - (180259*s[60])/216 - 
       (21439*s[61])/1944 - 53*s[82]) + HPL[{1}, 1 - u]^3*
      HPL[{0, 0, 1, 1}, 1 - w]*((125*s[4])/6 + (12539*s[5])/264 + 
       (1898*s[6])/33 + (619153*s[7])/792 - (46001*s[8])/891 - 
       (216787*s[9])/324 - (173197*s[10])/648 - (3666301*s[11])/4752 - 
       (3470051*s[12])/4752 - (129172*s[13])/297 - (114911*s[14])/594 - 
       (37502*s[15])/27 - (425521*s[16])/297 - (6743707*s[17])/4752 - 
       (24775*s[18])/486 - (416441*s[19])/1944 - (17795749*s[20])/10692 - 
       (13721177*s[21])/21384 + (8485897*s[22])/21384 + 
       (2633879*s[23])/4752 + (41854367*s[24])/42768 - 
       (182553251*s[25])/192456 + (114471473*s[26])/192456 + (3*s[33])/2 - 
       2*s[34] - s[36]/6 + (79*s[37])/36 + (38*s[38])/3 - (851*s[39])/24 + 
       (871*s[40])/24 - (149*s[41])/8 + (555*s[42])/8 + (8883*s[43])/88 - 
       (6683*s[44])/176 + (87413*s[45])/792 - (66637*s[46])/99 - 
       (69341*s[47])/1584 + (163573*s[48])/1584 - (552781*s[49])/1584 + 
       (35429*s[50])/66 - (52271*s[51])/1584 - (28777*s[52])/1584 - 
       (302299*s[53])/594 - (4415*s[54])/198 - (5240737*s[55])/1584 - 
       (3531085*s[56])/4752 - (1957789*s[57])/1782 - (25802093*s[58])/42768 + 
       (43155641*s[59])/42768 + (19527239*s[60])/3168 - 
       (15223387*s[61])/48114 - s[71] + (4*s[79])/3 + (97*s[80])/18 - 
       53*s[82]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - w]*
      ((3*s[2])/2 + (379*s[4])/12 + (2711*s[5])/132 + (1823*s[6])/44 + 
       (44651*s[7])/88 - (11233*s[8])/396 - (16079*s[9])/36 - 
       (5125*s[10])/36 - (24579*s[11])/44 - (52831*s[12])/88 - 
       (95825*s[13])/264 - (9439*s[14])/264 - (50515*s[15])/72 - 
       (9400*s[16])/11 - (87055*s[17])/132 - (8269*s[18])/108 - 
       (10625*s[19])/108 - (1210889*s[20])/1188 - (871141*s[21])/2376 + 
       (650891*s[22])/2376 + (6250*s[23])/11 + (1368737*s[24])/2376 - 
       (1910108*s[25])/2673 + (4175351*s[26])/10692 - s[27]/4 + s[31] + 
       (9*s[33])/4 - 2*s[34] - (3*s[36])/4 + (11*s[37])/2 + (235*s[38])/12 - 
       (2497*s[39])/48 + (2629*s[40])/48 - (2119*s[41])/48 + 
       (1065*s[42])/16 + (8629*s[43])/176 - (12435*s[44])/352 + 
       (14209*s[45])/264 - (188671*s[46])/528 + (35395*s[47])/3168 + 
       (17113*s[48])/3168 - (610777*s[49])/3168 + (2796*s[50])/11 + 
       (13877*s[51])/352 + (140603*s[52])/3168 - (282473*s[53])/1584 - 
       (881*s[54])/264 - (3635273*s[55])/3168 - (947563*s[56])/3168 + 
       (1208719*s[57])/2376 - (17558285*s[58])/28512 + 
       (18033143*s[59])/28512 + (53697571*s[60])/19008 - 
       (37867613*s[61])/256608 - (5*s[71])/4 - s[76] + (22*s[80])/3 - 
       53*s[82]) + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1}, 1 - u]*
      (14*s[2] + 16*s[3] - 17*s[4] + (4195*s[5])/22 - (335*s[6])/22 + 
       (191465*s[7])/132 - (6884*s[8])/99 - (24803*s[9])/18 - 
       (10171*s[10])/18 - (169945*s[11])/132 - (71737*s[12])/66 - 
       (50405*s[13])/132 - (61411*s[14])/132 - (30233*s[15])/12 - 
       (170323*s[16])/66 - (121171*s[17])/44 - (10466*s[18])/27 - 
       (6640*s[19])/27 - (2011871*s[20])/594 - (1606129*s[21])/1188 + 
       (889451*s[22])/1188 + (72827*s[23])/66 + (430817*s[24])/297 - 
       (15567817*s[25])/10692 + (11085421*s[26])/10692 + s[32] + 46*s[37] + 
       4*s[38] - 157*s[39] + 149*s[40] - 154*s[41] + 214*s[42] + 
       (661*s[43])/11 - (1959*s[44])/22 + (3183*s[45])/11 - 
       (15188*s[46])/11 + (11563*s[47])/66 - (20183*s[48])/66 - 
       (27253*s[49])/66 + (15281*s[50])/11 + (3981*s[51])/22 + 
       (6185*s[52])/66 - (35608*s[53])/33 - (853*s[54])/11 - 
       (422489*s[55])/66 - (21429*s[56])/22 - (48959*s[57])/66 - 
       (299527*s[58])/198 + (360829*s[59])/198 + (4534069*s[60])/396 - 
       (400291*s[61])/594 - 48*s[82]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - v]*(18*s[2] + 3*s[4] + (6641*s[5])/44 + 
       (2773*s[6])/44 + (173447*s[7])/132 - (11069*s[8])/396 - 
       (46399*s[9])/36 - (15917*s[10])/36 - (41752*s[11])/33 - 
       (151427*s[12])/132 - (60767*s[13])/132 - (80155*s[14])/132 - 
       (12289*s[15])/6 - (73562*s[16])/33 - (94903*s[17])/44 - 
       (48563*s[18])/108 - (863*s[19])/54 - (987703*s[20])/297 - 
       (414658*s[21])/297 + (844175*s[22])/1188 + (57845*s[23])/66 + 
       (690793*s[24])/594 - (28204607*s[25])/21384 + (21826091*s[26])/21384 + 
       s[27] + 12*s[31] + 12*s[33] - 4*s[34] - 10*s[35] + (5*s[36])/3 + 
       (215*s[37])/6 + 22*s[38] - (525*s[39])/4 + (1699*s[40])/12 - 
       (457*s[41])/4 + (2051*s[42])/12 + (11441*s[43])/132 - 
       (26995*s[44])/264 + (35017*s[45])/132 - (29309*s[46])/22 + 
       (63197*s[47])/792 - (124177*s[48])/792 - (341303*s[49])/792 + 
       (37934*s[50])/33 + (147199*s[51])/792 + (62857*s[52])/792 - 
       (57587*s[53])/66 - (523*s[54])/11 - (1405925*s[55])/264 - 
       (771433*s[56])/792 - (27581*s[57])/594 - (12446117*s[58])/7128 + 
       (13362029*s[59])/7128 + (48364823*s[60])/4752 - 
       (10432889*s[61])/16038 - 5*s[62] - 12*s[76] + 8*s[79] + (29*s[80])/3 - 
       48*s[82]) + HPL[{1}, 1 - w]^2*Qep[u, w, v]*((544*s[4])/9 + 
       (4640*s[5])/99 + (2944*s[6])/11 + (75032*s[7])/99 + (9128*s[8])/891 - 
       (46232*s[9])/81 - (9928*s[10])/81 - (266204*s[11])/297 - 
       (272896*s[12])/297 - (270404*s[13])/297 - (155876*s[14])/297 - 
       (8488*s[15])/9 - (374732*s[16])/297 - (342332*s[17])/297 + 
       (27800*s[18])/243 - (72272*s[19])/243 - (3464360*s[20])/2673 - 
       (1062092*s[21])/2673 + (991732*s[22])/2673 - (239732*s[23])/297 + 
       (3598516*s[24])/2673 - (28902200*s[25])/24057 + 
       (13692848*s[26])/24057 + (128*s[37])/3 + (640*s[38])/9 - 
       (352*s[39])/9 + (352*s[40])/9 - (544*s[41])/9 + (2272*s[43])/11 - 
       (1180*s[44])/11 + (4384*s[45])/33 - (87200*s[46])/99 - 
       (25708*s[47])/297 + (113156*s[48])/297 - (175700*s[49])/297 + 
       (18208*s[50])/33 + (8740*s[51])/99 + (9244*s[52])/297 - 
       (114520*s[53])/297 + (32896*s[54])/99 - (920716*s[55])/297 - 
       (11300*s[56])/11 - (485200*s[57])/297 - (699860*s[58])/891 + 
       (709172*s[59])/891 + (8196526*s[60])/891 - (888992*s[61])/2673 - 
       (128*s[82])/3) + HPL[{0, 1, 1}, 1 - w]*Omega2[u, v, w]*
      ((-91*s[4])/2 + (151*s[5])/11 - (428*s[6])/11 - (3106*s[7])/11 + 
       (10147*s[8])/198 + (3611*s[9])/18 + (350*s[10])/9 + 
       (45505*s[11])/132 + (28873*s[12])/66 + (37531*s[13])/132 - 
       (13973*s[14])/132 + (1847*s[15])/6 + (61333*s[16])/132 + 
       (27373*s[17])/132 + (323*s[18])/27 + (3911*s[19])/54 + 
       (231743*s[20])/594 + (76825*s[21])/1188 - (172109*s[22])/1188 - 
       (56429*s[23])/132 - (445127*s[24])/1188 + (2816999*s[25])/5346 - 
       (1030589*s[26])/5346 - 7*s[38] + 44*s[39] - 44*s[40] + 44*s[41] - 
       78*s[42] - (502*s[43])/11 + (2203*s[44])/44 - (259*s[45])/11 + 
       (3928*s[46])/11 - (2173*s[47])/132 - (4417*s[48])/132 + 
       (27133*s[49])/132 - (2995*s[50])/11 - (8483*s[51])/132 - 
       (2891*s[52])/132 + (12433*s[53])/66 - (200*s[54])/11 + 
       (144103*s[55])/132 + (14435*s[56])/44 - (8449*s[57])/22 + 
       (214469*s[58])/396 - (212717*s[59])/396 - (2320651*s[60])/792 + 
       (550933*s[61])/3564 - 42*s[82]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1, 1}, 1 - v]*(4*s[3] - (299*s[5])/11 + (591*s[6])/11 - 
       (14503*s[7])/66 + (1780*s[8])/99 + (1601*s[9])/9 + (1423*s[10])/9 + 
       (3131*s[11])/33 - (4801*s[12])/66 - (1347*s[13])/22 + 
       (3937*s[14])/66 + (4649*s[15])/6 + (5278*s[16])/11 + 
       (26740*s[17])/33 - (3506*s[18])/27 + (7775*s[19])/27 + 
       (147281*s[20])/297 + (46171*s[21])/594 - (48599*s[22])/594 + 
       (14657*s[23])/22 - (296201*s[24])/594 + (962935*s[25])/5346 - 
       (233863*s[26])/5346 + 8*s[37] + 31*s[38] - 99*s[39] + 107*s[40] - 
       90*s[41] + 166*s[42] + (813*s[43])/11 - (901*s[44])/22 - 
       (1566*s[45])/11 + (2692*s[46])/11 + (1081*s[47])/22 + 
       (2335*s[48])/22 - (5421*s[49])/22 - (3984*s[50])/11 + 
       (6823*s[51])/66 + (2441*s[52])/22 + (4426*s[53])/11 + (270*s[54])/11 + 
       (195383*s[55])/66 + (4709*s[56])/22 + (119129*s[57])/33 - 
       (118055*s[58])/198 + (46127*s[59])/198 - (133479*s[60])/44 + 
       (366787*s[61])/1782 - 42*s[82]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1, 1}, 1 - u]*((-1464*s[5])/11 - (810*s[6])/11 - 
       (27081*s[7])/22 + (1789*s[8])/33 + (3248*s[9])/3 + (1504*s[10])/3 + 
       (24283*s[11])/22 + (19031*s[12])/22 + (4099*s[13])/11 + 
       (6302*s[14])/11 + (4895*s[15])/2 + (51995*s[16])/22 + 
       (58439*s[17])/22 + (1501*s[18])/9 + (3011*s[19])/9 + 
       (297191*s[20])/99 + (118793*s[21])/99 - (60556*s[22])/99 - 
       (4660*s[23])/11 - (154312*s[24])/99 + (2173315*s[25])/1782 - 
       (1612507*s[26])/1782 + 16*s[37] - (798*s[43])/11 + (828*s[44])/11 - 
       (2928*s[45])/11 + (13842*s[46])/11 + (603*s[47])/11 + (603*s[48])/11 + 
       (3625*s[49])/11 - (12222*s[50])/11 + (817*s[51])/11 + (514*s[52])/11 + 
       (11563*s[53])/11 + (190*s[54])/11 + (77683*s[55])/11 + 
       (12895*s[56])/11 + (119608*s[57])/33 + (64231*s[58])/99 - 
       (134683*s[59])/99 - (255633*s[60])/22 + (560899*s[61])/891 - 
       42*s[82]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - w]*
      (4*s[1] + (201*s[4])/2 - (774*s[5])/11 + (681*s[6])/22 + 
       (8911*s[7])/66 - (2383*s[8])/22 - 37*s[9] + 100*s[10] - 
       (9973*s[11])/44 - (4794*s[12])/11 - (31531*s[13])/132 + 
       (25031*s[14])/44 + (181*s[15])/3 - (14293*s[16])/132 + 
       (49261*s[17])/132 - (1061*s[18])/18 + (526*s[19])/9 + 
       (49697*s[20])/198 + (63083*s[21])/396 + (2615*s[22])/44 + 
       (223349*s[23])/132 - (4973*s[24])/44 - (442528*s[25])/891 + 
       (225707*s[26])/1782 - 52*s[37] - 13*s[38] - 105*s[39] + 
       (219*s[40])/2 - (201*s[41])/2 + (417*s[42])/2 + (315*s[43])/22 - 
       (428*s[44])/11 - (709*s[45])/22 - (3075*s[46])/11 + (2869*s[47])/33 - 
       (9211*s[48])/66 - (6203*s[49])/66 + (1283*s[50])/11 + 
       (2500*s[51])/33 + (4265*s[52])/33 - (4495*s[53])/66 + 
       (1178*s[54])/11 - (414*s[55])/11 - (8391*s[56])/22 + 
       (100043*s[57])/33 - (77981*s[58])/66 + (34028*s[59])/33 + 
       (14195*s[60])/99 - (175403*s[61])/891 - 39*s[82]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - w]*
      ((201*s[4])/2 - (774*s[5])/11 + (681*s[6])/22 + (9703*s[7])/66 - 
       (8249*s[8])/66 - (161*s[9])/3 + (350*s[10])/3 - (11073*s[11])/44 - 
       (5344*s[12])/11 - (37999*s[13])/132 + (23931*s[14])/44 + 
       (601*s[15])/3 - (12841*s[16])/132 + (53881*s[17])/132 - 
       (889*s[18])/18 + (590*s[19])/9 + (52117*s[20])/198 + 
       (29549*s[21])/132 + (29035*s[22])/396 + (210545*s[23])/132 - 
       (35561*s[24])/396 - (55540*s[25])/99 + (20087*s[26])/198 + 12*s[37] - 
       13*s[38] - 105*s[39] + (219*s[40])/2 - (201*s[41])/2 + (417*s[42])/2 + 
       (315*s[43])/22 + s[44]/11 - (709*s[45])/22 - (3075*s[46])/11 + 
       (2902*s[47])/33 - (9145*s[48])/66 - (5477*s[49])/66 + 
       (1283*s[50])/11 + (2863*s[51])/33 + (3440*s[52])/33 - 
       (7795*s[53])/66 + (1442*s[54])/11 - (1811*s[55])/11 - 
       (8193*s[56])/22 + (99647*s[57])/33 - (76243*s[58])/66 + 
       (11097*s[59])/11 + (20305*s[60])/198 - (172301*s[61])/891 - 
       39*s[82]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - v]*
      (168*s[3] + 266*s[4] + (2483*s[5])/11 + (8581*s[6])/11 + 
       (92403*s[7])/22 - (32090*s[8])/99 - (30499*s[9])/9 - (8102*s[10])/9 - 
       (150310*s[11])/33 - (165320*s[12])/33 - (102820*s[13])/33 - 
       (27256*s[14])/33 - (10821*s[15])/2 - (452525*s[16])/66 - 
       (173719*s[17])/33 - (28694*s[18])/27 - (7600*s[19])/27 - 
       (2492080*s[20])/297 - (979591*s[21])/297 + (623834*s[22])/297 + 
       (357847*s[23])/66 + (2439211*s[24])/594 - (15433012*s[25])/2673 + 
       (9190297*s[26])/2673 + 44*s[32] + 28*s[37] + 119*s[38] - 547*s[39] + 
       579*s[40] - 469*s[41] + 825*s[42] + (4580*s[43])/11 - 
       (7275*s[44])/22 + (7826*s[45])/11 - (51050*s[46])/11 + 
       (16673*s[47])/66 - (12103*s[48])/66 - (99167*s[49])/66 + 
       (34438*s[50])/11 + (35309*s[51])/66 + (37621*s[52])/66 - 
       (78995*s[53])/33 + (12230*s[54])/11 - (1037359*s[55])/66 - 
       (111159*s[56])/22 + (52695*s[57])/11 - (1542595*s[58])/198 + 
       (1502749*s[59])/198 + (13527287*s[60])/396 - (4328765*s[61])/1782 - 
       36*s[82]) + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1}, 1 - u]*
      (-2*s[2] - 8*s[3] + 5*s[4] + (879*s[5])/11 - (1777*s[6])/44 + 
       (32639*s[7])/44 - (4009*s[8])/132 - (8549*s[9])/12 - (1967*s[10])/6 - 
       (59695*s[11])/88 - (50167*s[12])/88 - (9201*s[13])/44 - 
       (9167*s[14])/44 - (16051*s[15])/12 - (58843*s[16])/44 - 
       (125955*s[17])/88 - (5059*s[18])/36 - (8057*s[19])/36 - 
       (341707*s[20])/198 - (254645*s[21])/396 + (39016*s[22])/99 + 
       (18523*s[23])/88 + (713351*s[24])/792 - (5436361*s[25])/7128 + 
       (3493477*s[26])/7128 - s[32] - 2*s[37] + (27*s[38])/2 - 68*s[39] + 
       64*s[40] - 87*s[41] + 80*s[42] + (1121*s[43])/22 - (885*s[44])/22 + 
       (1571*s[45])/11 - (8015*s[46])/11 + (1393*s[47])/22 - 
       (1201*s[48])/11 - (3624*s[49])/11 + (8733*s[50])/11 + 
       (6211*s[51])/66 + (489*s[52])/22 - (12613*s[53])/22 - 
       (2021*s[54])/11 - (226583*s[55])/66 - (6891*s[56])/22 - 
       (38539*s[57])/33 - (53095*s[58])/99 + (153881*s[59])/198 + 
       (152643*s[60])/22 - (241045*s[61])/891 - 36*s[82]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - u]*
      (266*s[4] + (1999*s[5])/11 + (4566*s[6])/11 + (275405*s[7])/66 - 
       (103145*s[8])/297 - (94966*s[9])/27 - (27047*s[10])/27 - 
       (447883*s[11])/99 - (492275*s[12])/99 - (296041*s[13])/99 - 
       (42553*s[14])/99 - (101359*s[15])/18 - (1339535*s[16])/198 - 
       (518935*s[17])/99 - (56495*s[18])/81 - (52834*s[19])/81 - 
       (7246978*s[20])/891 - (2478478*s[21])/891 + (1935962*s[22])/891 + 
       (1070395*s[23])/198 + (8224231*s[24])/1782 - (94508453*s[25])/16038 + 
       (49837835*s[26])/16038 - 60*s[36] + (10*s[37])/3 + 152*s[38] - 
       611*s[39] + 703*s[40] - 535*s[41] + 921*s[42] + (6131*s[43])/11 - 
       (9541*s[44])/22 + (18187*s[45])/33 - (153172*s[46])/33 + 
       (15331*s[47])/66 + (1405*s[48])/66 - (140857*s[49])/66 + 
       (38288*s[50])/11 + (14087*s[51])/22 + (42263*s[52])/66 - 
       (247325*s[53])/99 + (35018*s[54])/33 - (1032937*s[55])/66 - 
       (883325*s[56])/198 + (1139152*s[57])/297 - (12619213*s[58])/1782 + 
       (12976369*s[59])/1782 + (14933549*s[60])/396 - (16849964*s[61])/8019 + 
       160*s[79] - (124*s[80])/3 - 36*s[82]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 1, 0, 1}, 1 - v]*((-9*s[2])/2 + (17*s[4])/2 + 
       (4297*s[5])/44 + (371*s[6])/22 + (115363*s[7])/132 - 
       (10225*s[8])/594 - (45203*s[9])/54 - (36791*s[10])/108 - 
       (669431*s[11])/792 - (590389*s[12])/792 - (30550*s[13])/99 - 
       (71111*s[14])/198 - (13379*s[15])/9 - (155395*s[16])/99 - 
       (1243265*s[17])/792 - (34807*s[18])/162 - (49669*s[19])/324 - 
       (1942135*s[20])/891 - (3166459*s[21])/3564 + (1665815*s[22])/3564 + 
       (309421*s[23])/792 + (6947125*s[24])/7128 - (7262443*s[25])/8019 + 
       (10699085*s[26])/16038 - s[27] - 3*s[31] - (9*s[33])/2 + 3*s[34] + 
       2*s[35] - 11*s[36] + (13*s[37])/3 + 25*s[38] - (307*s[39])/4 + 
       (319*s[40])/4 - (297*s[41])/4 + (351*s[42])/4 + (4189*s[43])/44 - 
       (5949*s[44])/88 + (22207*s[45])/132 - (58331*s[46])/66 + 
       (2867*s[47])/264 - (10795*s[48])/264 - (116489*s[49])/264 + 
       (8964*s[50])/11 + (8175*s[51])/88 + (7111*s[52])/264 - 
       (121591*s[53])/198 - (5821*s[54])/33 - (335239*s[55])/88 - 
       (393881*s[56])/792 - (281819*s[57])/297 - (6094813*s[58])/7128 + 
       (8026717*s[59])/7128 + (1396121*s[60])/176 - (10822829*s[61])/32076 + 
       s[62] + 3*s[76] - 8*s[79] + (26*s[80])/3 - 36*s[82]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - w]*
      (-s[2]/4 + (7*s[4])/4 - (881*s[5])/88 - (4715*s[6])/88 - 
       (74335*s[7])/528 - (2537*s[8])/99 + (7933*s[9])/72 + (4289*s[10])/72 + 
       (78305*s[11])/528 + (31643*s[12])/264 + (78637*s[13])/528 + 
       (116627*s[14])/528 + (3453*s[15])/16 + (32047*s[16])/132 + 
       (49551*s[17])/176 - (6373*s[18])/216 + (2027*s[19])/27 + 
       (408227*s[20])/1188 + (538397*s[21])/4752 - (325507*s[22])/4752 + 
       (161195*s[23])/264 - (750641*s[24])/2376 + (6942917*s[25])/42768 - 
       (4438793*s[26])/42768 - (11*s[37])/2 - (5*s[38])/2 - 62*s[39] + 
       66*s[40] - (169*s[41])/4 + (445*s[42])/4 - (277*s[43])/11 - 
       (1169*s[44])/88 - (558*s[45])/11 + (2969*s[46])/22 + (7493*s[47])/88 - 
       (14287*s[48])/88 + (3239*s[49])/88 - (4075*s[50])/44 + 
       (14599*s[51])/264 + (4007*s[52])/88 + (9875*s[53])/132 - 
       (2317*s[54])/44 + (222307*s[55])/264 + (49931*s[56])/264 + 
       (1374853*s[57])/792 - (614015*s[58])/2376 + (578861*s[59])/2376 - 
       (1191629*s[60])/528 + (1507039*s[61])/21384 - 33*s[82]) + 
     HPL[{1}, 1 - w]^2*Qep[v, u, w]*(8*s[4] + (1024*s[5])/11 + 
       (5048*s[6])/33 + (76352*s[7])/99 + (6196*s[8])/297 - (17332*s[9])/27 - 
       (6572*s[10])/27 - (74662*s[11])/99 - (62072*s[12])/99 - 
       (53138*s[13])/99 - (66970*s[14])/99 - (11872*s[15])/9 - 
       (136490*s[16])/99 - (51034*s[17])/33 - (716*s[18])/81 - 
       (19648*s[19])/81 - (1579108*s[20])/891 - (588382*s[21])/891 + 
       (334970*s[22])/891 - (82382*s[23])/99 + (1080830*s[24])/891 - 
       (6811276*s[25])/8019 + (4388224*s[26])/8019 + (128*s[37])/9 + 
       (128*s[38])/3 + 24*s[39] - 24*s[40] - 8*s[41] - (200*s[42])/3 + 
       (4264*s[43])/33 - (586*s[44])/11 + (1784*s[45])/11 - 
       (25312*s[46])/33 - (7462*s[47])/99 + (22106*s[48])/99 - 
       (33362*s[49])/99 + (20672*s[50])/33 + (4406*s[51])/99 - 
       (1898*s[52])/99 - (47956*s[53])/99 + (1856*s[54])/11 - 
       (40822*s[55])/11 - (25034*s[56])/33 - (303032*s[57])/99 - 
       (26006*s[58])/99 + (42646*s[59])/99 + (2513455*s[60])/297 - 
       (274624*s[61])/891 - 32*s[82]) + HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 1, 1}, 1 - v]*(7*s[3] + (223*s[4])/12 - (13*s[5])/66 + 
       (1121*s[6])/264 + (2707*s[7])/66 - (46043*s[8])/2376 - 
       (4855*s[9])/216 + (545*s[10])/27 - (82169*s[11])/1584 - 
       (118105*s[12])/1584 - (37441*s[13])/792 + (47375*s[14])/792 - 
       (649*s[15])/12 - (5459*s[16])/99 - (21557*s[17])/1584 - 
       (3497*s[18])/648 - (2755*s[19])/648 - (50321*s[20])/3564 + 
       (85643*s[21])/7128 + (26339*s[22])/1782 + (410503*s[23])/1584 + 
       (318511*s[24])/14256 - (12721883*s[25])/128304 + 
       (3222383*s[26])/128304 + (5*s[32])/6 + (7*s[37])/6 + (19*s[38])/3 - 
       (277*s[39])/12 + (301*s[40])/12 - (89*s[41])/6 + 38*s[42] + 
       (1307*s[43])/132 - (1147*s[44])/88 + (487*s[45])/132 - 
       (3787*s[46])/66 + (24889*s[47])/792 - (28241*s[48])/792 - 
       (17335*s[49])/792 + (2473*s[50])/66 + (29035*s[51])/792 + 
       (14591*s[52])/792 - (6599*s[53])/198 + (1843*s[54])/66 - 
       (142195*s[55])/792 - (19765*s[56])/264 + (133219*s[57])/396 - 
       (135797*s[58])/792 + (16055*s[59])/88 + (1176745*s[60])/4752 - 
       (530513*s[61])/21384 - 30*s[82]) + HPL[{1}, 1 - u]^3*
      HPL[{0, 0, 1, 1}, 1 - u]*((325*s[4])/12 + (6397*s[5])/264 + 
       (5213*s[6])/132 + (101305*s[7])/198 - (27121*s[8])/891 - 
       (72715*s[9])/162 - (95537*s[10])/648 - (2623703*s[11])/4752 - 
       (2774353*s[12])/4752 - (211267*s[13])/594 - (97169*s[14])/1188 - 
       (159089*s[15])/216 - (2060191*s[16])/2376 - (3358997*s[17])/4752 - 
       (16801*s[18])/243 - (203719*s[19])/1944 - (5606941*s[20])/5346 - 
       (7842523*s[21])/21384 + (5880599*s[22])/21384 + (2102911*s[23])/4752 + 
       (25977955*s[24])/42768 - (135338131*s[25])/192456 + 
       (73689877*s[26])/192456 + (3*s[33])/2 - 2*s[34] - (5*s[36])/6 - 
       (55*s[37])/36 + (58*s[38])/3 - (1139*s[39])/24 + (413*s[40])/8 - 
       (985*s[41])/24 + (491*s[42])/8 + (13997*s[43])/264 - 
       (6983*s[44])/176 + (46249*s[45])/792 - (38405*s[46])/99 + 
       (24815*s[47])/1584 + (16961*s[48])/1584 - (324497*s[49])/1584 + 
       (9838*s[50])/33 + (81869*s[51])/1584 + (62275*s[52])/1584 - 
       (256357*s[53])/1188 + (85*s[54])/99 - (739583*s[55])/528 - 
       (1539473*s[56])/4752 + (654539*s[57])/3564 - (24016693*s[58])/42768 + 
       (25932397*s[59])/42768 + (10662287*s[60])/3168 - 
       (7162649*s[61])/48114 - s[71] + (20*s[79])/3 + (77*s[80])/18 - 
       30*s[82]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 
       1 - w]*((20*s[4])/3 - (3533*s[5])/33 - (15439*s[6])/66 - 
       (18769*s[7])/22 - (1499*s[8])/22 + (1415*s[9])/2 + (878*s[10])/3 + 
       (118109*s[11])/132 + (97079*s[12])/132 + (7998*s[13])/11 + 
       (9507*s[14])/11 + (26755*s[15])/18 + (52501*s[16])/33 + 
       (238937*s[17])/132 - (497*s[18])/6 + (2227*s[19])/6 + 
       (63796*s[20])/33 + (24526*s[21])/33 - (83209*s[22])/198 + 
       (64445*s[23])/44 - (69071*s[24])/44 + (3607763*s[25])/3564 - 
       (2297831*s[26])/3564 - (20*s[37])/3 - (211*s[38])/3 - (40*s[39])/3 + 
       19*s[40] - 3*s[41] + (304*s[42])/3 - (6139*s[43])/33 + 
       (7745*s[44])/66 - (6296*s[45])/33 + (9910*s[46])/11 + 
       (9221*s[47])/66 - (8865*s[48])/22 + (36335*s[49])/66 - 
       (23278*s[50])/33 - (1363*s[51])/66 + (821*s[52])/22 + 
       (16108*s[53])/33 - (1978*s[54])/11 + (806983*s[55])/198 + 
       (62459*s[56])/66 + (372943*s[57])/99 + (152831*s[58])/594 - 
       (264953*s[59])/594 - (4201663*s[60])/396 + (1771289*s[61])/5346 - 
       24*s[82]) + HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      (s[1] + 10*s[2] + 12*s[3] + (21*s[4])/2 + (7*s[5])/4 + (655*s[6])/4 + 
       (3761*s[7])/24 - (301*s[8])/18 - (4391*s[9])/36 + (3059*s[10])/36 - 
       (6527*s[11])/24 - (2353*s[12])/6 - (3087*s[13])/8 - (3659*s[14])/24 + 
       (1183*s[15])/8 - (471*s[16])/4 + (3089*s[17])/24 - (2143*s[18])/27 + 
       (8915*s[19])/54 - (22939*s[20])/108 - (37769*s[21])/216 + 
       (18751*s[22])/216 + (899*s[23])/2 + (2183*s[24])/108 - 
       (675467*s[25])/1944 + (488159*s[26])/1944 + s[32]/2 + 4*s[37] + 
       11*s[38] - (115*s[39])/2 + (133*s[40])/2 - 58*s[41] + 85*s[42] + 
       (155*s[43])/2 - (319*s[44])/4 - (59*s[45])/2 - 238*s[46] + 
       (93*s[47])/4 + (339*s[48])/4 - (707*s[49])/4 - (233*s[50])/2 + 
       (165*s[51])/4 + (327*s[52])/4 + 81*s[53] + (515*s[54])/2 + 
       (1785*s[55])/4 - (1913*s[56])/4 + (8727*s[57])/4 - (11681*s[58])/12 + 
       (8615*s[59])/12 + (5233*s[60])/8 - (3595*s[61])/36 - 12*s[82]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 1}, 1 - w]*((-10*s[4])/3 + 
       (151*s[5])/11 + (745*s[6])/88 + (53921*s[7])/396 - (18541*s[8])/2376 - 
       (25637*s[9])/216 - (6131*s[10])/108 - (189499*s[11])/1584 - 
       (144137*s[12])/1584 - (9247*s[13])/198 - (6352*s[14])/99 - 
       (2587*s[15])/9 - (208699*s[16])/792 - (165101*s[17])/528 - 
       (2737*s[18])/648 - (29297*s[19])/648 - (1120765*s[20])/3564 - 
       (221885*s[21])/1782 + (473389*s[22])/7128 + (47917*s[23])/1584 + 
       (2567861*s[24])/14256 - (17744731*s[25])/128304 + 
       (12681187*s[26])/128304 + (13*s[37])/3 - (5*s[39])/12 + (5*s[40])/12 + 
       (13*s[41])/3 + (43*s[42])/6 + (2413*s[43])/132 - (261*s[44])/44 + 
       (3679*s[45])/132 - (3067*s[46])/22 - (967*s[47])/99 + 
       (8441*s[48])/396 - (24575*s[49])/396 + (3973*s[50])/33 - 
       (347*s[51])/33 - (1280*s[52])/99 - (49801*s[53])/396 - 
       (167*s[54])/11 - (79987*s[55])/99 - (5011*s[56])/33 - 
       (14692*s[57])/33 - (68359*s[58])/1188 + (102263*s[59])/594 + 
       (3176285*s[60])/2376 - (1460185*s[61])/21384 - 12*s[82]) + 
     HPL[{1}, 1 - u]^3*Omega2[w, u, v]*((-21*s[4])/4 + (505*s[5])/44 + 
       (547*s[6])/88 + (14395*s[7])/132 - (5227*s[8])/792 - (6929*s[9])/72 - 
       (1715*s[10])/36 - (49915*s[11])/528 - (37361*s[12])/528 - 
       (4709*s[13])/132 - (7417*s[14])/132 - (2861*s[15])/12 - 
       (56227*s[16])/264 - (135643*s[17])/528 - (871*s[18])/216 - 
       (7421*s[19])/216 - (302455*s[20])/1188 - (124123*s[21])/1188 + 
       (126769*s[22])/2376 + (8089*s[23])/528 + (671777*s[24])/4752 - 
       (4591669*s[25])/42768 + (3478549*s[26])/42768 + (7*s[37])/3 + 
       (25*s[41])/4 + 8*s[42] + (158*s[43])/11 - (313*s[44])/88 + 
       (505*s[45])/22 - (2429*s[46])/22 - (2047*s[47])/264 + 
       (5477*s[48])/264 - (12427*s[49])/264 + (1042*s[50])/11 - 
       (1115*s[51])/264 - (2779*s[52])/264 - (4453*s[53])/44 - 
       (358*s[54])/33 - (172177*s[55])/264 - (35435*s[56])/264 - 
       (144679*s[57])/396 - (111143*s[58])/2376 + (343217*s[59])/2376 + 
       (1673567*s[60])/1584 - (1218449*s[61])/21384 - 12*s[82]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 1}, 1 - u]*((-32*s[4])/3 + 
       (151*s[5])/11 + (41*s[6])/88 + (26443*s[7])/396 + (9487*s[8])/2376 - 
       (14665*s[9])/216 - (4849*s[10])/108 - (75407*s[11])/1584 - 
       (17593*s[12])/1584 + (5321*s[13])/396 - (26783*s[14])/396 - 
       (3277*s[15])/18 - (111965*s[16])/792 - (108737*s[17])/528 - 
       (6893*s[18])/648 - (15289*s[19])/648 - (721949*s[20])/3564 - 
       (317567*s[21])/3564 + (237395*s[22])/7128 - (104191*s[23])/1584 + 
       (1281961*s[24])/14256 - (4613591*s[25])/128304 + 
       (6236903*s[26])/128304 + (2*s[36])/3 + (13*s[37])/3 + (71*s[39])/12 - 
       (71*s[40])/12 + (32*s[41])/3 - (25*s[42])/6 + (191*s[43])/132 + 
       (9*s[44])/11 + (2843*s[45])/132 - (1351*s[46])/22 - (1481*s[47])/396 + 
       (364*s[48])/99 - (223*s[49])/99 + (2081*s[50])/33 + (1109*s[51])/132 - 
       (2887*s[52])/396 - (27251*s[53])/396 - (134*s[54])/11 - 
       (177839*s[55])/396 - (8351*s[56])/132 - (12338*s[57])/33 + 
       (16415*s[58])/594 + (45455*s[59])/1188 + (722195*s[60])/1188 - 
       (706487*s[61])/21384 - 12*s[82]) + HPL[{0, 1, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*(20*s[4] - (496*s[5])/11 + (1082*s[6])/11 - 
       (9838*s[7])/33 + (3134*s[8])/99 + (2458*s[9])/9 + (1880*s[10])/9 + 
       (9337*s[11])/33 + (8411*s[12])/33 + (172*s[13])/11 + (2956*s[14])/33 + 
       632*s[15] + (7556*s[16])/11 + (21389*s[17])/33 + (3056*s[18])/27 + 
       (2692*s[19])/27 + (292810*s[20])/297 + (113224*s[21])/297 - 
       (49118*s[22])/297 - (3329*s[23])/11 - (97307*s[24])/297 + 
       (620605*s[25])/2673 - (521497*s[26])/2673 - 16*s[37] - 14*s[38] + 
       2*s[39] - 2*s[40] - 40*s[41] + 28*s[42] - (138*s[43])/11 + 
       (729*s[44])/11 - (508*s[45])/11 + (2688*s[46])/11 + (1109*s[47])/11 - 
       (1465*s[48])/11 + (3867*s[49])/11 - (3708*s[50])/11 + 
       (1433*s[51])/11 + (1163*s[52])/11 + (2444*s[53])/11 + 
       (6812*s[54])/11 + (51703*s[55])/33 - (1823*s[56])/11 + 
       (28286*s[57])/33 + (12113*s[58])/99 - (37421*s[59])/99 - 
       (234785*s[60])/66 + (33317*s[61])/891 - 12*s[82]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 1}, 1 - w]*(-s[3]/6 - (8*s[4])/3 - 
       (117*s[5])/11 - (170*s[6])/11 - (20947*s[7])/198 + (1640*s[8])/297 + 
       (2593*s[9])/27 + (881*s[10])/27 + (11002*s[11])/99 + 
       (10586*s[12])/99 + (12553*s[13])/198 + (3688*s[14])/99 + 
       (2849*s[15])/18 + (37285*s[16])/198 + (11323*s[17])/66 + 
       (5071*s[18])/162 + (485*s[19])/162 + (422717*s[20])/1782 + 
       (98317*s[21])/891 - (100765*s[22])/1782 - (22211*s[23])/198 - 
       (187009*s[24])/1782 + (984031*s[25])/8019 - (724759*s[26])/8019 - 
       (2*s[38])/3 + 14*s[39] - 14*s[40] + (38*s[41])/3 - (64*s[42])/3 - 
       (527*s[43])/66 + (338*s[44])/33 - (887*s[45])/66 + (3802*s[46])/33 - 
       (1061*s[47])/99 + (1084*s[48])/99 + (8467*s[49])/198 - 
       (953*s[50])/11 - (277*s[51])/22 - (904*s[52])/99 + (6517*s[53])/99 - 
       (23*s[54])/11 + (13793*s[55])/33 + (2319*s[56])/22 - 
       (11918*s[57])/99 + (111613*s[58])/594 - (115711*s[59])/594 - 
       (1021729*s[60])/1188 + (15718*s[61])/297 - 12*s[82]) + 
     HPL[{1}, 1 - v]^3*Omega2[v, w, u]*((-31*s[4])/12 - (897*s[5])/44 - 
       (3239*s[6])/132 - (37799*s[7])/198 + (9145*s[8])/1188 + 
       (9385*s[9])/54 + (6907*s[10])/108 + (19307*s[11])/99 + 
       (143021*s[12])/792 + (80957*s[13])/792 + (55585*s[14])/792 + 
       (10913*s[15])/36 + (273341*s[16])/792 + (43931*s[17])/132 + 
       (16489*s[18])/324 + (5069*s[19])/324 + (1544759*s[20])/3564 + 
       (1411039*s[21])/7128 - (716945*s[22])/7128 - (73055*s[23])/396 - 
       (175735*s[24])/891 + (6801173*s[25])/32076 - (2532127*s[26])/16038 - 
       (7*s[38])/3 + (91*s[39])/4 - (91*s[40])/4 + (259*s[41])/12 - 
       (205*s[42])/6 - (1835*s[43])/132 + (547*s[44])/33 - (1167*s[45])/44 + 
       (6695*s[46])/33 - (1171*s[47])/99 + (8153*s[48])/396 + 
       (15089*s[49])/198 - (10679*s[50])/66 - (2201*s[51])/132 - 
       (5387*s[52])/396 + (50147*s[53])/396 + (107*s[54])/33 + 
       (103583*s[55])/132 + (5662*s[56])/33 - (50059*s[57])/396 + 
       (361639*s[58])/1188 - (395113*s[59])/1188 - (3727261*s[60])/2376 + 
       (110381*s[61])/1188 - 12*s[82]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*(20*s[4] - (400*s[5])/11 + 
       (478*s[6])/11 - (6110*s[7])/33 + (1250*s[8])/99 + (1714*s[9])/9 + 
       (1076*s[10])/9 + (3523*s[11])/33 + (743*s[12])/33 - (3436*s[13])/33 + 
       (4102*s[14])/33 + 492*s[15] + (12836*s[16])/33 + (5767*s[17])/11 + 
       (2276*s[18])/27 + (412*s[19])/27 + (187048*s[20])/297 + 
       (79996*s[21])/297 - (28172*s[22])/297 - (3835*s[23])/33 - 
       (46787*s[24])/297 + (125857*s[25])/2673 - (313327*s[26])/2673 + 
       14*s[38] - 22*s[39] + 22*s[40] - 20*s[41] + 20*s[42] + 
       (306*s[43])/11 - (373*s[44])/11 - (580*s[45])/11 + (1512*s[46])/11 - 
       (233*s[47])/33 + (2737*s[48])/33 - (2491*s[49])/33 - (2248*s[50])/11 + 
       (177*s[51])/11 + (635*s[52])/33 + (6052*s[53])/33 + (716*s[54])/11 + 
       (40019*s[55])/33 + (705*s[56])/11 + (11014*s[57])/11 - 
       (8099*s[58])/99 - (3769*s[59])/99 - (261251*s[60])/198 + 
       (86903*s[61])/891 - 12*s[82]) + HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 0, 1}, 1 - v]*((-25*s[4])/6 - (355*s[5])/11 - 
       (4095*s[6])/88 - (115523*s[7])/396 + (27373*s[8])/2376 + 
       (58313*s[9])/216 + (2297*s[10])/27 + (492919*s[11])/1584 + 
       (487835*s[12])/1584 + (138649*s[13])/792 + (77477*s[14])/792 + 
       (7409*s[15])/18 + (203447*s[16])/396 + (236641*s[17])/528 + 
       (73489*s[18])/648 - (14365*s[19])/648 + (1173509*s[20])/1782 + 
       (2376083*s[21])/7128 - (140057*s[22])/891 - (720433*s[23])/1584 - 
       (3496109*s[24])/14256 + (41881429*s[25])/128304 - 
       (33863113*s[26])/128304 - (20*s[38])/3 + (217*s[39])/4 - 
       (217*s[40])/4 + (161*s[41])/3 - (497*s[42])/6 - (3241*s[43])/132 + 
       (8917*s[44])/264 - (1179*s[45])/44 + (20411*s[46])/66 - 
       (28273*s[47])/792 + (36605*s[48])/792 + (106555*s[49])/792 - 
       (2511*s[50])/11 - (11389*s[51])/264 - (34715*s[52])/792 + 
       (15817*s[53])/99 - (112*s[54])/11 + (246769*s[55])/264 + 
       (69637*s[56])/264 - (161071*s[57])/198 + (1517407*s[58])/2376 - 
       (1485181*s[59])/2376 - (9920005*s[60])/4752 + (988159*s[61])/7128 - 
       12*s[82]) + D32[w, u, v]*((-3*s[4])/2 - (131*s[5])/22 - 
       (167*s[6])/11 - (4137*s[7])/44 + (688*s[8])/99 + (1435*s[9])/18 + 
       (293*s[10])/18 + (14843*s[11])/132 + (4501*s[12])/33 + 
       (10991*s[13])/132 + (2591*s[14])/132 + (1055*s[15])/12 + 
       (4880*s[16])/33 + (10781*s[17])/132 + (1643*s[18])/54 - 
       (413*s[19])/54 + (57161*s[20])/297 + (94961*s[21])/1188 - 
       (60241*s[22])/1188 - (9923*s[23])/66 - (50423*s[24])/594 + 
       (1446431*s[25])/10692 - (876209*s[26])/10692 - 3*s[33] - s[35] - 
       2*s[36] - s[37] - 5*s[38] + 18*s[39] - 20*s[40] + 12*s[41] - 
       26*s[42] - (118*s[43])/11 + (371*s[44])/22 - (142*s[45])/11 + 
       (1142*s[46])/11 - (272*s[47])/33 - (140*s[48])/33 + (1850*s[49])/33 - 
       (665*s[50])/11 - (150*s[51])/11 - (1223*s[52])/66 + (1141*s[53])/33 - 
       (304*s[54])/11 + (2744*s[55])/11 + (1280*s[56])/11 - (9820*s[57])/33 + 
       (7685*s[58])/33 - (6613*s[59])/33 - (74098*s[60])/99 + 
       (88013*s[61])/1782 + 2*s[76] - 12*s[82]) + 
     D32[v, w, u]*(-s[2] - 8*s[3] - (23*s[4])/2 - (43*s[5])/22 - 
       (222*s[6])/11 - (11333*s[7])/132 + (842*s[8])/99 + (1139*s[9])/18 + 
       (139*s[10])/18 + (14227*s[11])/132 + (8947*s[12])/66 + 
       (11849*s[13])/132 + (457*s[14])/132 + (997*s[15])/12 + 
       (4649*s[16])/33 + (3315*s[17])/44 + (1279*s[18])/54 + (29*s[19])/54 + 
       (46084*s[20])/297 + (74215*s[21])/1188 - (48911*s[22])/1188 - 
       (5869*s[23])/33 - (24392*s[24])/297 + (1560787*s[25])/10692 - 
       (869785*s[26])/10692 - 2*s[36] - s[37] - 5*s[38] + 18*s[39] - 
       21*s[40] + 11*s[41] - 26*s[42] - (118*s[43])/11 + (371*s[44])/22 - 
       (153*s[45])/11 + (1142*s[46])/11 - (272*s[47])/33 - (140*s[48])/33 + 
       (1817*s[49])/33 - (643*s[50])/11 - (150*s[51])/11 - (1223*s[52])/66 + 
       (1141*s[53])/33 - (304*s[54])/11 + (2744*s[55])/11 + (1302*s[56])/11 - 
       (9886*s[57])/33 + (7696*s[58])/33 - (2230*s[59])/11 - 
       (148625*s[60])/198 + (93293*s[61])/1782 + 2*s[76] - 12*s[82]) + 
     HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*(6*s[2] + (31*s[4])/2 - 
       (639*s[5])/8 + (209*s[6])/8 - (5211*s[7])/8 + (3949*s[8])/216 + 
       (137905*s[9])/216 + (64595*s[10])/216 + (21091*s[11])/36 + 
       (34957*s[12])/72 + (7523*s[13])/72 + (22451*s[14])/72 + 
       (43591*s[15])/36 + (21605*s[16])/18 + (89195*s[17])/72 + 
       (129881*s[18])/648 + (32519*s[19])/324 + (143623*s[20])/81 + 
       (57823*s[21])/81 - (224635*s[22])/648 - (1316*s[23])/9 - 
       (60263*s[24])/81 + (6762367*s[25])/11664 - (5630995*s[26])/11664 + 
       (3*s[27])/2 + 4*s[31] + (9*s[33])/2 - 4*s[34] - 12*s[35] + 
       (79*s[36])/6 - (7*s[37])/12 - 4*s[38] + (209*s[39])/8 - 
       (487*s[40])/24 + (157*s[41])/8 - (983*s[42])/24 - (1375*s[43])/24 + 
       (1181*s[44])/48 - (3247*s[45])/24 + (7585*s[46])/12 + 
       (2261*s[47])/144 + (1511*s[48])/144 + (39601*s[49])/144 - 
       (1865*s[50])/3 - (3641*s[51])/144 + (1609*s[52])/144 + 
       (17051*s[53])/36 + (1415*s[54])/6 + (145235*s[55])/48 + 
       (4695*s[56])/16 + (54755*s[57])/36 + (142033*s[58])/432 - 
       (234889*s[59])/432 - (5168449*s[60])/864 + (83731*s[61])/324 - 
       (3*s[62])/2 - 4*s[76] + 12*s[79] - (37*s[80])/6 - 12*s[82]) + 
     D32[u, v, w]*((-19*s[4])/2 + s[5]/22 - (189*s[6])/11 - 
       (14149*s[7])/132 + (3439*s[8])/297 + (4645*s[9])/54 + 
       (1025*s[10])/54 + (51833*s[11])/396 + (16033*s[12])/99 + 
       (41795*s[13])/396 + (557*s[14])/396 + (3775*s[15])/36 + 
       (16367*s[16])/99 + (33509*s[17])/396 + (2843*s[18])/162 + 
       (1609*s[19])/162 + (343945*s[20])/1782 + (218597*s[21])/3564 - 
       (207343*s[22])/3564 - (35621*s[23])/198 - (200483*s[24])/1782 + 
       (5639669*s[25])/32076 - (2740805*s[26])/32076 - 2*s[35] - 2*s[36] - 
       (2*s[37])/3 - 6*s[38] + 23*s[39] - 28*s[40] + 20*s[41] - 35*s[42] - 
       (173*s[43])/11 + (525*s[44])/22 - (272*s[45])/33 + (4130*s[46])/33 - 
       (533*s[47])/66 - (599*s[48])/66 + (5273*s[49])/66 - (940*s[50])/11 - 
       (1351*s[51])/66 - (1399*s[52])/66 + (4435*s[53])/99 - (934*s[54])/33 + 
       (20149*s[55])/66 + (23095*s[56])/198 - (97598*s[57])/297 + 
       (458297*s[58])/1782 - (415259*s[59])/1782 - (398989*s[60])/396 + 
       (716393*s[61])/16038 - 8*s[79] + (8*s[80])/3 - 12*s[82]) + 
     HPL[{1}, 1 - u]^4*HPL[{0, 0, 1}, 1 - u]*((-32*s[4])/3 + (303*s[5])/44 - 
       (223*s[6])/66 + (1555*s[7])/264 + (6167*s[8])/1188 - (751*s[9])/54 - 
       (1909*s[10])/108 + (4901*s[11])/792 + (11171*s[12])/396 + 
       (5069*s[13])/198 - (32353*s[14])/792 - (4097*s[15])/72 - 
       (18361*s[16])/792 - (14059*s[17])/198 + (49*s[18])/162 - 
       (2369*s[19])/324 - (350089*s[20])/7128 - (44119*s[21])/1782 + 
       (24209*s[22])/7128 - (79357*s[23])/792 + (119639*s[24])/7128 + 
       (1338371*s[25])/64152 + (18350*s[26])/8019 + (7*s[37])/3 + 
       (71*s[39])/12 - (71*s[40])/12 + (32*s[41])/3 - (17*s[42])/4 - 
       (233*s[43])/132 + (541*s[44])/264 + (1037*s[45])/132 + 
       (103*s[46])/33 + (38*s[47])/99 + (2231*s[48])/396 + (865*s[49])/99 + 
       (303*s[50])/44 + (3787*s[51])/396 - (4351*s[52])/792 - 
       (6169*s[53])/396 - (668*s[54])/33 - (9578*s[55])/99 + (125*s[56])/44 - 
       (77563*s[57])/396 + (75787*s[58])/1188 - (36703*s[59])/1188 + 
       (52981*s[60])/1188 + (3455*s[61])/3564 - 10*s[82]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - v]*
      (s[1] - (10*s[4])/3 + (208*s[5])/33 + (339*s[6])/44 + (475*s[7])/11 + 
       (3221*s[8])/594 - (961*s[9])/27 - (2285*s[10])/108 - (3874*s[11])/99 - 
       (18193*s[12])/792 - (21689*s[13])/792 - (38447*s[14])/792 - 
       (302*s[15])/3 - (70127*s[16])/792 - (11479*s[17])/99 + 
       (1805*s[18])/162 - (9709*s[19])/324 - (170663*s[20])/1782 - 
       (178511*s[21])/7128 + (146881*s[22])/7128 - (24869*s[23])/198 + 
       (342305*s[24])/3564 - (2866841*s[25])/64152 + (1160945*s[26])/64152 + 
       (8*s[37])/3 + (17*s[38])/3 + (11*s[39])/6 - (11*s[40])/6 + 
       (10*s[41])/3 - 2*s[42] + (351*s[43])/22 - (383*s[44])/88 + 
       (117*s[45])/22 - (769*s[46])/33 - (5677*s[47])/792 + 
       (23891*s[48])/792 - (34163*s[49])/792 + (483*s[50])/11 + 
       (3119*s[51])/264 - (2471*s[52])/792 - (9773*s[53])/396 - 
       (607*s[54])/33 - (89413*s[55])/792 + (2807*s[56])/88 - 
       (67147*s[57])/198 + (185629*s[58])/2376 - (147409*s[59])/2376 + 
       (2424185*s[60])/4752 + (26513*s[61])/3564 - 10*s[82]) + 
     HPL[{1}, 1 - v]^4*HPL[{0, 0, 1}, 1 - v]*((-25*s[4])/6 - (2741*s[5])/66 - 
       (3457*s[6])/66 - (99425*s[7])/264 + (19169*s[8])/1188 + 
       (37255*s[9])/108 + (6289*s[10])/54 + (307775*s[11])/792 + 
       (295087*s[12])/792 + (20173*s[13])/99 + (13648*s[14])/99 + 
       (40753*s[15])/72 + (530099*s[16])/792 + (488825*s[17])/792 + 
       (10529*s[18])/81 - (569*s[19])/81 + (1532819*s[20])/1782 + 
       (738113*s[21])/1782 - (356131*s[22])/1782 - (49994*s[23])/99 - 
       (303821*s[24])/891 + (3304957*s[25])/8019 - (2617492*s[26])/8019 - 
       (41*s[38])/6 + (170*s[39])/3 - (227*s[40])/4 + (335*s[41])/6 - 
       (523*s[42])/6 - (974*s[43])/33 + (9671*s[44])/264 - (1891*s[45])/44 + 
       (8667*s[46])/22 - (25997*s[47])/792 + (39607*s[48])/792 + 
       (121925*s[49])/792 - (9923*s[50])/33 - (35315*s[51])/792 - 
       (34711*s[52])/792 + (89597*s[53])/396 - (197*s[54])/11 + 
       (1073063*s[55])/792 + (92237*s[56])/264 - (129955*s[57])/198 + 
       (560591*s[58])/792 - (572683*s[59])/792 - (13398035*s[60])/4752 + 
       (979711*s[61])/5346 - 10*s[82]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*((95*s[4])/12 - (5245*s[5])/66 - 
       (4585*s[6])/44 - (55885*s[7])/88 - (4025*s[8])/297 + 
       (58325*s[9])/108 + (25105*s[10])/108 + (243845*s[11])/396 + 
       (196795*s[12])/396 + (78355*s[13])/198 + (213995*s[14])/396 + 
       (9375*s[15])/8 + (936355*s[16])/792 + (267565*s[17])/198 - 
       (1535*s[18])/324 + (74285*s[19])/324 + (2685175*s[20])/1782 + 
       (2000555*s[21])/3564 - (561995*s[22])/1782 + (562675*s[23])/792 - 
       (7387955*s[24])/7128 + (11023075*s[25])/16038 - 
       (14366855*s[26])/32076 - (40*s[37])/3 - (100*s[38])/3 - 
       (215*s[39])/12 + (215*s[40])/12 - (95*s[41])/12 + (235*s[42])/4 - 
       (4205*s[43])/44 + (1635*s[44])/44 - (6205*s[45])/44 + 
       (41605*s[46])/66 + (21925*s[47])/396 - (17330*s[48])/99 + 
       (29825*s[49])/99 - (6090*s[50])/11 - (2795*s[51])/132 + 
       (3155*s[52])/99 + (167275*s[53])/396 - (1180*s[54])/33 + 
       (1270015*s[55])/396 + (6335*s[56])/11 + (266305*s[57])/99 + 
       (85345*s[58])/594 - (102290*s[59])/297 - (16996055*s[60])/2376 + 
       (299405*s[61])/1188 - 10*s[82]) + HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 1, 1}, 1 - v]*((53*s[4])/6 - (89*s[5])/33 + 
       (1523*s[6])/132 + (21473*s[7])/792 - (7517*s[8])/1188 - 
       (869*s[9])/54 + (955*s[10])/108 - (28319*s[11])/792 - 
       (5075*s[12])/99 - (3967*s[13])/88 + (8281*s[14])/792 + 
       (601*s[15])/72 - (1751*s[16])/66 + (6563*s[17])/792 - 
       (1265*s[18])/324 + (317*s[19])/81 - (45283*s[20])/3564 + 
       (34867*s[21])/7128 + (88273*s[22])/7128 + (9091*s[23])/132 + 
       (15311*s[24])/891 - (481903*s[25])/8019 + (152242*s[26])/8019 + 
       (22*s[37])/3 + (2*s[38])/3 - (37*s[39])/6 + 6*s[40] - (53*s[41])/6 + 
       (65*s[42])/6 + (203*s[43])/33 - (1417*s[44])/264 + (20*s[45])/33 - 
       (2357*s[46])/66 + (259*s[47])/264 - (9*s[48])/88 - (2449*s[49])/264 + 
       (245*s[50])/22 + (7585*s[51])/792 + (685*s[52])/88 - (303*s[53])/22 + 
       (2305*s[54])/66 - (16811*s[55])/264 - (12461*s[56])/264 + 
       (15361*s[57])/99 - (222877*s[58])/2376 + (175447*s[59])/2376 + 
       (273089*s[60])/1584 - (396313*s[61])/21384 - 9*s[82]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((1343*s[4])/72 - (6085*s[5])/396 + (2115*s[6])/88 + 
       (40715*s[7])/1584 - (95561*s[8])/7128 - (293*s[9])/81 + 
       (4501*s[10])/162 - (287435*s[11])/4752 - (65333*s[12])/594 - 
       (509957*s[13])/4752 + (332869*s[14])/4752 + (9659*s[15])/144 + 
       (107*s[16])/594 + (500815*s[17])/4752 + (16085*s[18])/972 - 
       (14419*s[19])/1944 + (1754339*s[20])/21384 + (2776111*s[21])/42768 + 
       (512257*s[22])/42768 + (127195*s[23])/1188 + (185723*s[24])/5346 - 
       (12534299*s[25])/96228 + (870223*s[26])/48114 + (3*s[35])/2 - s[36] + 
       (13*s[37])/3 + (49*s[38])/9 - (1445*s[39])/72 + (1481*s[40])/72 - 
       (1289*s[41])/72 + (219*s[42])/8 + (2267*s[43])/88 - (3697*s[44])/176 - 
       (1627*s[45])/264 - (24005*s[46])/396 + (491*s[47])/4752 + 
       (142325*s[48])/4752 - (357257*s[49])/4752 + (196*s[50])/33 + 
       (27139*s[51])/1584 + (90667*s[52])/4752 + (3955*s[53])/594 + 
       (5129*s[54])/198 + (427187*s[55])/4752 - (9725*s[56])/176 + 
       (131117*s[57])/297 - (2667737*s[58])/14256 + (1997729*s[59])/14256 + 
       (10320869*s[60])/28512 - (213685*s[61])/21384 - (26*s[82])/3) + 
     HPL[{1}, 1 - u]^2*M1[u, v, w]*((7*s[4])/3 + (291*s[5])/22 + 
       (2865*s[6])/176 + (73171*s[7])/396 - (77089*s[8])/4752 - 
       (67061*s[9])/432 - (13931*s[10])/216 - (566647*s[11])/3168 - 
       (511541*s[12])/3168 - (37711*s[13])/396 - (10405*s[14])/198 - 
       (25543*s[15])/72 - (552577*s[16])/1584 - (127979*s[17])/352 - 
       (6781*s[18])/1296 - (77237*s[19])/1296 - (2779243*s[20])/7128 - 
       (128240*s[21])/891 + (1312957*s[22])/14256 + (306781*s[23])/3168 + 
       (7044629*s[24])/28512 - (57734047*s[25])/256608 + 
       (34718743*s[26])/256608 + (4*s[37])/3 + (5*s[38])/2 - (215*s[39])/24 + 
       (215*s[40])/24 - (11*s[41])/6 + (95*s[42])/6 + (6157*s[43])/264 - 
       (1017*s[44])/88 + (9349*s[45])/264 - (8741*s[46])/44 - 
       (1351*s[47])/198 + (12251*s[48])/792 - (74483*s[49])/792 + 
       (22481*s[50])/132 - (299*s[51])/132 - (2953*s[52])/396 - 
       (123967*s[53])/792 - (200*s[54])/11 - (99446*s[55])/99 - 
       (24653*s[56])/132 - (17789*s[57])/44 - (357763*s[58])/2376 + 
       (312755*s[59])/1188 + (8827031*s[60])/4752 - (3854347*s[61])/42768 - 
       6*s[82]) + HPL[{1}, 1 - v]^2*M1[v, u, w]*((53*s[4])/12 + 
       (123*s[5])/44 + (311*s[6])/44 + (60031*s[7])/792 - (5629*s[8])/594 - 
       (6511*s[9])/108 - (665*s[10])/27 - (58595*s[11])/792 - 
       (54061*s[12])/792 - (17297*s[13])/396 - (529*s[14])/99 - 
       (9821*s[15])/72 - (108853*s[16])/792 - (36155*s[17])/264 + 
       (1675*s[18])/324 - (2893*s[19])/81 - (239693*s[20])/1782 - 
       (102757*s[21])/3564 + (131303*s[22])/3564 + (10675*s[23])/396 + 
       (393575*s[24])/3564 - (1745303*s[25])/16038 + (337048*s[26])/8019 + 
       (13*s[38])/6 - (7*s[39])/2 + (7*s[40])/2 + (7*s[41])/12 + 
       (16*s[42])/3 + (328*s[43])/33 - (1147*s[44])/264 + (365*s[45])/22 - 
       (2833*s[46])/33 - (2315*s[47])/792 + (5473*s[48])/792 - 
       (24163*s[49])/792 + (3511*s[50])/44 + (901*s[51])/88 - 
       (541*s[52])/792 - (26821*s[53])/396 + (19*s[54])/22 - 
       (108769*s[55])/264 - (16987*s[56])/264 - (40385*s[57])/198 - 
       (117031*s[58])/2376 + (183391*s[59])/2376 + (3828025*s[60])/4752 - 
       (35782*s[61])/891 - 6*s[82]) + HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 0, 1}, 1 - v]*((25*s[4])/4 + (17*s[5])/22 + (799*s[6])/44 + 
       (3695*s[7])/88 - (52*s[8])/99 - (1049*s[9])/36 - (49*s[10])/36 - 
       (6983*s[11])/132 - (7861*s[12])/132 - (3943*s[13])/66 - 
       (2615*s[14])/132 - (935*s[15])/24 - (16747*s[16])/264 - 
       (1511*s[17])/33 + (635*s[18])/108 - (1457*s[19])/108 - 
       (33325*s[20])/594 - (18107*s[21])/1188 + (11843*s[22])/594 - 
       (4567*s[23])/264 + (162791*s[24])/2376 - (202091*s[25])/2673 + 
       (353945*s[26])/10692 + (8*s[37])/3 + 4*s[38] - (17*s[39])/4 + 
       (17*s[40])/4 - (25*s[41])/4 + (15*s[42])/4 + (567*s[43])/44 - 
       (377*s[44])/44 + (255*s[45])/44 - (1157*s[46])/22 - (577*s[47])/132 + 
       (689*s[48])/33 - (1121*s[49])/33 + (289*s[50])/11 + (937*s[51])/132 + 
       (181*s[52])/33 - (2371*s[53])/132 + (332*s[54])/11 - 
       (19187*s[55])/132 - (757*s[56])/11 - (400*s[57])/33 - 
       (14125*s[58])/198 + (6245*s[59])/99 + (384695*s[60])/792 - 
       (25391*s[61])/1188 - 6*s[82]) + B8[w, u, v]*HPL[{1}, 1 - v]*
      ((3*s[4])/4 + (135*s[5])/44 + (5*s[6])/22 + (2131*s[7])/88 - 
       (53*s[8])/22 - (89*s[9])/4 - (21*s[10])/4 - (1635*s[11])/88 - 
       (339*s[12])/22 - (273*s[13])/88 - (995*s[14])/88 - (323*s[15])/8 - 
       (1713*s[16])/44 - (3871*s[17])/88 - (137*s[18])/12 + (53*s[19])/12 - 
       (7693*s[20])/132 - (6773*s[21])/264 + (3071*s[22])/264 + 
       (819*s[23])/22 + (419*s[24])/33 - (14161*s[25])/792 + 
       (13609*s[26])/792 + s[37]/2 - s[38] - s[39]/2 + s[40]/2 - 
       (3*s[41])/2 + 3*s[42] - (35*s[43])/22 + (123*s[44])/44 + 
       (135*s[45])/22 - (234*s[46])/11 + (215*s[47])/44 - (555*s[48])/44 + 
       (609*s[49])/44 + (196*s[50])/11 + (545*s[51])/132 + (207*s[52])/44 - 
       (194*s[53])/11 + (204*s[54])/11 - (15365*s[55])/132 - 
       (1593*s[56])/44 - (1201*s[57])/66 - (11699*s[58])/396 + 
       (11195*s[59])/396 + (31595*s[60])/264 - (16361*s[61])/891 - 6*s[82]) + 
     B8[v, w, u]*HPL[{1}, 1 - v]*((3*s[4])/4 + (91*s[5])/44 + (49*s[6])/22 + 
       (1955*s[7])/88 - (203*s[8])/66 - (239*s[9])/12 - (55*s[10])/12 - 
       (1591*s[11])/88 - (164*s[12])/11 - (537*s[13])/88 - (775*s[14])/88 - 
       (953*s[15])/24 - (1537*s[16])/44 - (3387*s[17])/88 - (283*s[18])/36 + 
       (55*s[19])/36 - (19229*s[20])/396 - (16051*s[21])/792 + 
       (8861*s[22])/792 + (533*s[23])/22 + (1510*s[24])/99 - 
       (151825*s[25])/7128 + (122701*s[26])/7128 + s[37]/2 - s[38] - 
       s[39]/2 + s[40]/2 - (3*s[41])/2 + 3*s[42] - (35*s[43])/22 + 
       (123*s[44])/44 + (135*s[45])/22 - (234*s[46])/11 + (215*s[47])/44 - 
       (555*s[48])/44 + (609*s[49])/44 + (196*s[50])/11 + (545*s[51])/132 + 
       (207*s[52])/44 - (194*s[53])/11 + (204*s[54])/11 - (15365*s[55])/132 - 
       (1593*s[56])/44 - (1201*s[57])/66 - (11699*s[58])/396 + 
       (11195*s[59])/396 + (31595*s[60])/264 - (16361*s[61])/891 - 6*s[82]) + 
     B8[u, v, w]*HPL[{1}, 1 - u]*((3*s[4])/4 + (51*s[5])/22 + (153*s[6])/44 + 
       (2175*s[7])/88 - (95*s[8])/44 - (43*s[9])/2 - 6*s[10] - 
       (1811*s[11])/88 - (755*s[12])/44 - (603*s[13])/88 - (973*s[14])/88 - 
       (1007*s[15])/24 - (420*s[16])/11 - (3717*s[17])/88 - (25*s[18])/3 + 
       (19*s[19])/12 - (7187*s[20])/132 - (1979*s[21])/88 + 
       (3005*s[22])/264 + (1495*s[23])/44 + (2171*s[24])/132 - 
       (27605*s[25])/1188 + (21827*s[26])/1188 + s[37]/2 - (3*s[39])/4 + 
       (3*s[40])/4 - (3*s[41])/4 + (7*s[42])/4 + (73*s[43])/44 + 
       (169*s[44])/88 + (237*s[45])/44 - (545*s[46])/22 + (111*s[47])/88 - 
       (395*s[48])/88 + (459*s[49])/88 + (174*s[50])/11 + (727*s[51])/264 + 
       (271*s[52])/88 - (205*s[53])/11 + (226*s[54])/11 - (10357*s[55])/88 - 
       (3131*s[56])/88 - (2455*s[57])/66 - (20527*s[58])/792 + 
       (23479*s[59])/792 + (27007*s[60])/176 - (29191*s[61])/1782 - 
       6*s[82]) + HPL[{0, 1, 1}, 1 - w]*Omega2[v, w, u]*
      ((17*s[4])/2 - (156*s[5])/11 + (195*s[6])/11 - (3451*s[7])/33 + 
       (1679*s[8])/198 + (1933*s[9])/18 + (523*s[10])/9 + (9191*s[11])/132 + 
       (1345*s[12])/33 - (3869*s[13])/132 + (8567*s[14])/132 + 
       (449*s[15])/2 + (24253*s[16])/132 + (9785*s[17])/44 + 
       (1240*s[18])/27 + (199*s[19])/54 + (192757*s[20])/594 + 
       (146561*s[21])/1188 - (64033*s[22])/1188 - (839*s[23])/132 - 
       (107005*s[24])/1188 + (278581*s[25])/5346 - (334777*s[26])/5346 + 
       7*s[38] - 11*s[39] + 11*s[40] - 10*s[41] + 14*s[42] - s[43]/11 - 
       (559*s[44])/44 - (290*s[45])/11 + (976*s[46])/11 + (161*s[47])/132 + 
       (1745*s[48])/132 - (1781*s[49])/132 - (1058*s[50])/11 + 
       (1007*s[51])/132 + (1171*s[52])/132 + (5293*s[53])/66 + 
       (226*s[54])/11 + (72041*s[55])/132 + (1421*s[56])/44 + 
       (35033*s[57])/66 - (4787*s[58])/132 + (571*s[59])/132 - 
       (664633*s[60])/792 + (160859*s[61])/3564 - 6*s[82]) + 
     HPL[{0, 1, 1}, 1 - w]*Omega2[w, u, v]*((23*s[4])/2 - (244*s[5])/11 + 
       (283*s[6])/11 - (2659*s[7])/33 + (821*s[8])/198 + (1495*s[9])/18 + 
       (553*s[10])/9 + (4901*s[11])/132 - (602*s[12])/33 - (9875*s[13])/132 + 
       (7841*s[14])/132 + (535*s[15])/2 + (27091*s[16])/132 + 
       (13283*s[17])/44 + (1036*s[18])/27 + (625*s[19])/54 + 
       (181339*s[20])/594 + (173423*s[21])/1188 - (48655*s[22])/1188 - 
       (14501*s[23])/132 - (80143*s[24])/1188 - (26867*s[25])/5346 - 
       (291877*s[26])/5346 + 7*s[38] - 11*s[39] + 11*s[40] - 10*s[41] + 
       6*s[42] + (307*s[43])/11 - (933*s[44])/44 - (290*s[45])/11 + 
       (536*s[46])/11 - (1093*s[47])/132 + (9203*s[48])/132 - 
       (8183*s[49])/132 - (1190*s[50])/11 + (1117*s[51])/132 + 
       (1369*s[52])/132 + (6811*s[53])/66 + (490*s[54])/11 + 
       (29345*s[55])/44 + (1399*s[56])/44 + (31051*s[57])/66 - 
       (18035*s[58])/396 - (16789*s[59])/396 - (380371*s[60])/792 + 
       (62251*s[61])/1188 - 6*s[82]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1, 1}, 1 - w]*((109*s[4])/4 - (2063*s[5])/22 - 
       (2361*s[6])/44 - (52293*s[7])/88 - (1741*s[8])/99 + (19135*s[9])/36 + 
       (9323*s[10])/36 + (68011*s[11])/132 + (45569*s[12])/132 + 
       (14591*s[13])/66 + (76909*s[14])/132 + (9799*s[15])/8 + 
       (300833*s[16])/264 + (93365*s[17])/66 + (5075*s[18])/108 + 
       (19951*s[19])/108 + (948173*s[20])/594 + (747781*s[21])/1188 - 
       (175435*s[22])/594 + (184769*s[23])/264 - (2166001*s[24])/2376 + 
       (2644805*s[25])/5346 - (4363357*s[26])/10692 - 12*s[37] - 20*s[38] - 
       (181*s[39])/4 + (181*s[40])/4 - (109*s[41])/4 + (339*s[42])/4 - 
       (2613*s[43])/44 + (3*s[44])/44 - (6261*s[45])/44 + (11783*s[46])/22 + 
       (5879*s[47])/132 - (3538*s[48])/33 + (5587*s[49])/33 - 
       (5910*s[50])/11 - (129*s[51])/44 + (1711*s[52])/33 + 
       (57305*s[53])/132 + (64*s[54])/11 + (427925*s[55])/132 + 
       (4893*s[56])/11 + (103415*s[57])/33 - (18721*s[58])/198 - 
       (15496*s[59])/99 - (5001373*s[60])/792 + (90443*s[61])/396 - 
       6*s[82]) + B8[w, u, v]*HPL[{1}, 1 - u]*((-3*s[2])/2 + (3*s[4])/4 + 
       (73*s[5])/22 + (65*s[6])/44 + (1911*s[7])/88 - (139*s[8])/44 - 
       (35*s[9])/2 - 6*s[10] - (1349*s[11])/88 - (513*s[12])/44 + 
       (35*s[13])/88 - (907*s[14])/88 - (297*s[15])/8 - (1427*s[16])/44 - 
       (3519*s[17])/88 - (65*s[18])/6 + (19*s[19])/12 - (6461*s[20])/132 - 
       (2177*s[21])/88 + (2191*s[22])/264 + (775*s[23])/22 + (739*s[24])/66 - 
       (895*s[25])/66 + (584*s[26])/33 - s[31] - (3*s[33])/2 + s[34] - 
       s[38] + s[39]/4 - s[40]/4 - (3*s[41])/4 + (5*s[42])/4 - 
       (15*s[43])/44 + (257*s[44])/88 + (237*s[45])/44 - (413*s[46])/22 + 
       (287*s[47])/88 - (747*s[48])/88 + (1031*s[49])/88 + (141*s[50])/11 + 
       (169*s[51])/88 + (227*s[52])/88 - (377*s[53])/22 + (226*s[54])/11 - 
       (9433*s[55])/88 - (2823*s[56])/88 - (1255*s[57])/33 - 
       (14279*s[58])/792 + (19607*s[59])/792 + (48857*s[60])/528 - 
       (29345*s[61])/1782 + s[76] - s[80] - 6*s[82]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((55*s[4])/4 - (107*s[5])/33 + (355*s[6])/22 + (25277*s[7])/264 - 
       (5684*s[8])/297 - (7543*s[9])/108 - (281*s[10])/27 - 
       (44449*s[11])/396 - (106879*s[12])/792 - (78263*s[13])/792 + 
       (20851*s[14])/792 - (9341*s[15])/72 - (66283*s[16])/396 - 
       (23339*s[17])/198 + (1261*s[18])/324 - (2029*s[19])/81 - 
       (448867*s[20])/3564 - (264299*s[21])/7128 + (341677*s[22])/7128 + 
       (129259*s[23])/792 + (816235*s[24])/7128 - (10928789*s[25])/64152 + 
       (4893929*s[26])/64152 - s[35]/3 + s[36]/3 + (10*s[37])/3 - 
       (65*s[39])/4 + (65*s[40])/4 - (51*s[41])/4 + (391*s[42])/12 + 
       (2701*s[43])/132 - (6001*s[44])/264 + (1289*s[45])/132 - 
       (2659*s[46])/22 + (4115*s[47])/792 + (14213*s[48])/792 - 
       (64265*s[49])/792 + (925*s[50])/11 + (7693*s[51])/792 - 
       (1313*s[52])/792 - (14479*s[53])/198 - (251*s[54])/33 - 
       (350477*s[55])/792 - (13103*s[56])/88 + (3403*s[57])/22 - 
       (494641*s[58])/2376 + (596077*s[59])/2376 + (4644437*s[60])/4752 - 
       (591655*s[61])/10692 - 5*s[82]) + HPL[{1}, 1 - v]^4*
      HPL[{0, 0, 1}, 1 - w]*(s[3]/16 + (899*s[4])/288 + (521*s[5])/132 + 
       (18587*s[6])/2112 + (961123*s[7])/19008 - (301681*s[8])/57024 - 
       (234887*s[9])/5184 - (1295*s[10])/162 - (2075647*s[11])/38016 - 
       (2273429*s[12])/38016 - (158803*s[13])/4752 - (50323*s[14])/9504 - 
       (103643*s[15])/1728 - (778523*s[16])/9504 - (748189*s[17])/12672 - 
       (378415*s[18])/15552 + (186109*s[19])/15552 - (8538637*s[20])/85536 - 
       (4324669*s[21])/85536 + (4570405*s[22])/171072 + 
       (4763023*s[23])/38016 + (9626363*s[24])/342144 - 
       (193160455*s[25])/3079296 + (142367227*s[26])/3079296 + s[37]/2 + 
       (25*s[38])/36 - (193*s[39])/16 + (193*s[40])/16 - (3941*s[41])/288 + 
       (5971*s[42])/288 + (4853*s[43])/1584 - (12311*s[44])/3168 + 
       (929*s[45])/264 - (42787*s[46])/792 + (26225*s[47])/2376 - 
       (78857*s[48])/4752 - (64609*s[49])/4752 + (3321*s[50])/88 + 
       (19117*s[51])/1584 + (134503*s[52])/9504 - (60391*s[53])/2376 + 
       (1171*s[54])/66 - (209389*s[55])/1584 - (189455*s[56])/3168 + 
       (1179961*s[57])/4752 - (1025567*s[58])/7128 + (3621467*s[59])/28512 + 
       (15435587*s[60])/57024 - (1732021*s[61])/57024 - 5*s[82]) + 
     HPL[{1}, 1 - u]^4*HPL[{0, 0, 1}, 1 - w]*((463*s[4])/96 + 
       (145*s[5])/132 + (13589*s[6])/2112 + (306929*s[7])/6336 - 
       (43289*s[8])/6336 - (21691*s[9])/576 - (2719*s[10])/288 - 
       (67329*s[11])/1408 - (209923*s[12])/4224 - (194437*s[13])/6336 - 
       (1057*s[14])/2112 - (44441*s[15])/576 - (525649*s[16])/6336 - 
       (940897*s[17])/12672 - (2909*s[18])/576 - (483*s[19])/64 - 
       (68363*s[20])/792 - (628943*s[21])/19008 + (216991*s[22])/9504 + 
       (972721*s[23])/12672 + (1880299*s[24])/38016 - 
       (21869473*s[25])/342144 + (12844705*s[26])/342144 - (5*s[37])/18 - 
       (109*s[39])/24 + (109*s[40])/24 - (141*s[41])/32 + (901*s[42])/96 + 
       (523*s[43])/66 - (5365*s[44])/2112 + (593*s[45])/88 - 
       (1817*s[46])/33 - (6023*s[47])/6336 + (21037*s[48])/6336 - 
       (138901*s[49])/6336 + (10267*s[50])/264 - (1385*s[51])/704 + 
       (16865*s[52])/6336 - (122779*s[53])/3168 + (148*s[54])/11 - 
       (169627*s[55])/704 - (149663*s[56])/2112 - (2801*s[57])/132 - 
       (1316489*s[58])/19008 + (1745855*s[59])/19008 + 
       (16021453*s[60])/38016 - (5073961*s[61])/171072 - 5*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - v]*
      (s[3]/6 + (191*s[4])/12 - (508*s[5])/33 + (531*s[6])/88 - 
       (30743*s[7])/792 - (23897*s[8])/2376 + (10637*s[9])/216 + 
       (2329*s[10])/54 + (25225*s[11])/1584 - (45217*s[12])/1584 - 
       (3893*s[13])/132 + (6583*s[14])/99 + (9539*s[15])/72 + 
       (11861*s[16])/132 + (262697*s[17])/1584 + (7609*s[18])/648 + 
       (10025*s[19])/648 + (555541*s[20])/3564 + (75748*s[21])/891 - 
       (143653*s[22])/7128 + (53753*s[23])/528 - (670889*s[24])/14256 - 
       (2544923*s[25])/128304 - (3564673*s[26])/128304 + (7*s[37])/3 + 
       (17*s[38])/6 - (41*s[39])/6 + (43*s[40])/6 - (29*s[41])/4 + 
       (103*s[42])/12 + (245*s[43])/22 - (1153*s[44])/132 - (943*s[45])/66 + 
       (252*s[46])/11 + (25*s[47])/66 + (865*s[48])/33 - (923*s[49])/33 - 
       (1586*s[50])/33 + (182*s[51])/33 + (955*s[52])/132 + (1379*s[53])/33 + 
       (875*s[54])/33 + (54869*s[55])/198 - (889*s[56])/132 + 
       (54041*s[57])/198 - (11876*s[58])/297 + (10271*s[59])/1188 - 
       (199339*s[60])/792 + (367973*s[61])/21384 - 5*s[82]) + 
     HPL[{1}, 1 - u]^4*HPL[{0, 1, 1}, 1 - w]*((-2233*s[4])/96 + 
       (232*s[5])/33 - (12673*s[6])/704 - (44183*s[7])/704 + 
       (323629*s[8])/19008 + (68759*s[9])/1728 - (12469*s[10])/864 + 
       (1063087*s[11])/12672 + (1508447*s[12])/12672 + (523499*s[13])/6336 - 
       (330259*s[14])/6336 + (3917*s[15])/192 + (521207*s[16])/6336 - 
       (97385*s[17])/12672 + (85843*s[18])/5184 - (31435*s[19])/5184 + 
       (369163*s[20])/7128 + (279875*s[21])/57024 - (881543*s[22])/28512 - 
       (2755991*s[23])/12672 - (5141063*s[24])/114048 + 
       (138720709*s[25])/1026432 - (51595525*s[26])/1026432 + 
       (125*s[37])/36 + (415*s[39])/24 - (415*s[40])/24 + (2273*s[41])/96 - 
       (2347*s[42])/96 - (75*s[43])/11 + (24107*s[44])/2112 - 
       (853*s[45])/264 + (5789*s[46])/66 - (86351*s[47])/6336 + 
       (139237*s[48])/6336 + (155939*s[49])/6336 - (13093*s[50])/264 - 
       (10129*s[51])/704 - (144679*s[52])/6336 + (90701*s[53])/3168 - 
       (1466*s[54])/33 + (1076213*s[55])/6336 + (68323*s[56])/704 - 
       (290935*s[57])/792 + (4197791*s[58])/19008 - (3299129*s[59])/19008 - 
       (18065867*s[60])/38016 + (287977*s[61])/6336 - 5*s[82]) + 
     HPL[{1}, 1 - v]^4*HPL[{0, 1, 1}, 1 - w]*((-5893*s[4])/288 - 
       (767*s[5])/66 - (24735*s[6])/704 - (4336445*s[7])/19008 + 
       (1410455*s[8])/57024 + (1000369*s[9])/5184 + (15179*s[10])/324 + 
       (9394217*s[11])/38016 + (9995683*s[12])/38016 + (770105*s[13])/4752 + 
       (168677*s[14])/9504 + (533221*s[15])/1728 + (3679393*s[16])/9504 + 
       (3924379*s[17])/12672 + (821657*s[18])/15552 + (236821*s[19])/15552 + 
       (36894923*s[20])/85536 + (14936063*s[21])/85536 - 
       (20141159*s[22])/171072 - (12665657*s[23])/38016 - 
       (76830541*s[24])/342144 + (962160809*s[25])/3079296 - 
       (564675845*s[26])/3079296 - (65*s[38])/36 + (1573*s[39])/48 - 
       (1573*s[40])/48 + (10099*s[41])/288 - (15053*s[42])/288 - 
       (30115*s[43])/1584 + (62257*s[44])/3168 - (5253*s[45])/176 + 
       (205985*s[46])/792 - (13597*s[47])/594 + (144829*s[48])/4752 + 
       (405605*s[49])/4752 - (16947*s[50])/88 - (44425*s[51])/1584 - 
       (270173*s[52])/9504 + (357911*s[53])/2376 - (861*s[54])/22 + 
       (1468945*s[55])/1584 + (828517*s[56])/3168 - (1618625*s[57])/4752 + 
       (3178873*s[58])/7128 - (12867757*s[59])/28512 - 
       (105820261*s[60])/57024 + (2485981*s[61])/19008 - 5*s[82]) + 
     HPL[{1}, 1 - w]^4*HPL[{0, 0, 1}, 1 - w]*((101*s[4])/12 + (377*s[5])/66 + 
       (1697*s[6])/44 + (8941*s[7])/88 + (865*s[8])/297 - (8089*s[9])/108 - 
       (1793*s[10])/108 - (48685*s[11])/396 - (50081*s[12])/396 - 
       (12742*s[13])/99 - (27361*s[14])/396 - (1047*s[15])/8 - 
       (135407*s[16])/792 - (30485*s[17])/198 + (6343*s[18])/324 - 
       (14449*s[19])/324 - (299159*s[20])/1782 - (185917*s[21])/3564 + 
       (44021*s[22])/891 - (93611*s[23])/792 + (1344883*s[24])/7128 - 
       (1330378*s[25])/8019 + (2513521*s[26])/32076 + (8*s[37])/3 + 
       (32*s[38])/3 - (77*s[39])/12 + (77*s[40])/12 - (101*s[41])/12 + 
       s[42]/4 + (1321*s[43])/44 - (831*s[44])/44 + (785*s[45])/44 - 
       (8009*s[46])/66 - (5189*s[47])/396 + (5641*s[48])/99 - 
       (8860*s[49])/99 + (820*s[50])/11 + (1555*s[51])/132 + (569*s[52])/99 - 
       (18527*s[53])/396 + (1376*s[54])/33 - (158759*s[55])/396 - 
       (1580*s[56])/11 - (20957*s[57])/99 - (66479*s[58])/594 + 
       (33004*s[59])/297 + (3068215*s[60])/2376 - (154711*s[61])/3564 - 
       4*s[82]) + HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 1}, 1 - w]*
      ((101*s[4])/12 + (377*s[5])/66 + (1697*s[6])/44 + (8941*s[7])/88 + 
       (865*s[8])/297 - (8089*s[9])/108 - (1793*s[10])/108 - 
       (48685*s[11])/396 - (50081*s[12])/396 - (12742*s[13])/99 - 
       (27361*s[14])/396 - (1047*s[15])/8 - (135407*s[16])/792 - 
       (30485*s[17])/198 + (6343*s[18])/324 - (14449*s[19])/324 - 
       (299159*s[20])/1782 - (185917*s[21])/3564 + (44021*s[22])/891 - 
       (93611*s[23])/792 + (1344883*s[24])/7128 - (1330378*s[25])/8019 + 
       (2513521*s[26])/32076 + (8*s[37])/3 + (32*s[38])/3 - (77*s[39])/12 + 
       (77*s[40])/12 - (101*s[41])/12 + s[42]/4 + (1321*s[43])/44 - 
       (831*s[44])/44 + (785*s[45])/44 - (8009*s[46])/66 - (5189*s[47])/396 + 
       (5641*s[48])/99 - (8860*s[49])/99 + (820*s[50])/11 + 
       (1555*s[51])/132 + (569*s[52])/99 - (18527*s[53])/396 + 
       (1376*s[54])/33 - (158759*s[55])/396 - (1580*s[56])/11 - 
       (20957*s[57])/99 - (66479*s[58])/594 + (33004*s[59])/297 + 
       (3068215*s[60])/2376 - (154711*s[61])/3564 - 4*s[82]) + 
     HPL[{1}, 1 - w]^3*Omega2[v, w, u]*((17*s[4])/3 + (145*s[5])/33 + 
       (276*s[6])/11 + (9379*s[7])/132 + (785*s[8])/594 - (1435*s[9])/27 - 
       (320*s[10])/27 - (33061*s[11])/396 - (33683*s[12])/396 - 
       (16793*s[13])/198 - (9635*s[14])/198 - (361*s[15])/4 - 
       (46825*s[16])/396 - (42775*s[17])/396 + (1691*s[18])/162 - 
       (4529*s[19])/162 - (108319*s[20])/891 - (67709*s[21])/1782 + 
       (61447*s[22])/1782 - (7339*s[23])/99 + (111542*s[24])/891 - 
       (3573901*s[25])/32076 + (1714015*s[26])/32076 + (8*s[37])/3 + 
       (20*s[38])/3 - (11*s[39])/3 + (11*s[40])/3 - (17*s[41])/3 + 
       (213*s[43])/11 - (257*s[44])/22 + (137*s[45])/11 - (2725*s[46])/33 - 
       (857*s[47])/99 + (6965*s[48])/198 - (10973*s[49])/198 + 
       (569*s[50])/11 + (183*s[51])/22 + (685*s[52])/198 - (6943*s[53])/198 + 
       (995*s[54])/33 - (28298*s[55])/99 - (1047*s[56])/11 - 
       (14948*s[57])/99 - (22180*s[58])/297 + (44249*s[59])/594 + 
       (256325*s[60])/297 - (108253*s[61])/3564 - 4*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - w]*
      ((31*s[4])/12 + (257*s[5])/66 + (631*s[6])/44 + (32701*s[7])/792 + 
       (227*s[8])/132 - (97*s[9])/3 - (43*s[10])/6 - (12401*s[11])/264 - 
       (5999*s[12])/132 - (37175*s[13])/792 - (10511*s[14])/264 - 
       (3871*s[15])/72 - (27553*s[16])/396 - (55993*s[17])/792 + 
       (259*s[18])/54 - (1571*s[19])/108 - (95567*s[20])/1188 - 
       (65129*s[21])/2376 + (16091*s[22])/792 - (6349*s[23])/99 + 
       (7402*s[24])/99 - (628489*s[25])/10692 + (334765*s[26])/10692 + 
       (26*s[37])/9 + 4*s[38] + s[39]/12 - s[40]/12 - (31*s[41])/12 - 
       (35*s[42])/12 + (1489*s[43])/132 - (631*s[44])/264 + (339*s[45])/44 - 
       (2953*s[46])/66 - (4051*s[47])/792 + (17927*s[48])/792 - 
       (22475*s[49])/792 + (959*s[50])/33 + (347*s[51])/88 + s[52]/792 - 
       (4369*s[53])/198 + (698*s[54])/33 - (143983*s[55])/792 - 
       (14711*s[56])/264 - (28081*s[57])/198 - (63095*s[58])/2376 + 
       (71363*s[59])/2376 + (2369459*s[60])/4752 - (184355*s[61])/10692 - 
       4*s[82]) + HPL[{1}, 1 - w]^2*M1[w, u, v]*((73*s[4])/8 - (57*s[5])/22 + 
       (1187*s[6])/88 + (33431*s[7])/528 - (1949*s[8])/198 - (3241*s[9])/72 - 
       (323*s[10])/72 - (4855*s[11])/66 - (6113*s[12])/66 - (1471*s[13])/22 + 
       (911*s[14])/264 - (2909*s[15])/48 - (16175*s[16])/176 - 
       (10883*s[17])/264 - (1895*s[18])/216 - (1045*s[19])/216 - 
       (51643*s[20])/594 - (42331*s[21])/2376 + (18485*s[22])/594 + 
       (10503*s[23])/176 + (342403*s[24])/4752 - (1162265*s[25])/10692 + 
       (937117*s[26])/21384 + (4*s[37])/3 + 2*s[38] - (57*s[39])/8 + 
       (57*s[40])/8 - (67*s[41])/8 + (117*s[42])/8 + (1063*s[43])/88 - 
       (74*s[44])/11 + (523*s[45])/88 - (3251*s[46])/44 + (95*s[47])/22 + 
       (919*s[48])/88 - (2559*s[49])/88 + (2229*s[50])/44 + (581*s[51])/33 + 
       (977*s[52])/88 - (2723*s[53])/88 + (677*s[54])/22 - (13117*s[55])/66 - 
       (7489*s[56])/88 + (2445*s[57])/44 - (30307*s[58])/264 + 
       (23869*s[59])/264 + (153413*s[60])/264 - (270737*s[61])/7128 - 
       3*s[82]) + HPL[{1}, 1 - u]^5*HPL[{0, 1}, 1 - u]*
      ((-8*s[4])/3 + (79*s[5])/44 - (295*s[6])/352 + (3583*s[7])/1584 + 
       (10927*s[8])/9504 - (3577*s[9])/864 - (1969*s[10])/432 + 
       (6385*s[11])/6336 + (41447*s[12])/6336 + (10001*s[13])/1584 - 
       (16703*s[14])/1584 - (1099*s[15])/72 - (21317*s[16])/3168 - 
       (39617*s[17])/2112 - (701*s[18])/2592 - (4201*s[19])/2592 - 
       (197573*s[20])/14256 - (94943*s[21])/14256 + (34211*s[22])/28512 - 
       (149839*s[23])/6336 + (250489*s[24])/57024 + (2342185*s[25])/513216 + 
       (481223*s[26])/513216 + (3*s[37])/4 + (71*s[39])/48 - (71*s[40])/48 + 
       (8*s[41])/3 - (25*s[42])/24 - (241*s[43])/528 + (27*s[44])/44 + 
       (1115*s[45])/528 + (17*s[46])/88 + (463*s[47])/1584 + 
       (227*s[48])/198 + (1091*s[49])/396 + (281*s[50])/132 + 
       (1325*s[51])/528 - (1951*s[52])/1584 - (7019*s[53])/1584 - 
       (91*s[54])/22 - (42983*s[55])/1584 - (215*s[56])/528 - 
       (3305*s[57])/66 + (36419*s[58])/2376 - (34729*s[59])/4752 + 
       (65519*s[60])/4752 - (26711*s[61])/85536 - 3*s[82]) + 
     HPL[{1}, 1 - v]^5*HPL[{0, 1}, 1 - v]*((-25*s[4])/24 - (427*s[5])/44 - 
       (4431*s[6])/352 - (139967*s[7])/1584 + (35149*s[8])/9504 + 
       (69977*s[9])/864 + (2945*s[10])/108 + (581047*s[11])/6336 + 
       (559547*s[12])/6336 + (154345*s[13])/3168 + (100805*s[14])/3168 + 
       (9515*s[15])/72 + (248771*s[16])/1584 + (303649*s[17])/2112 + 
       (79105*s[18])/2592 - (4429*s[19])/2592 + (1436489*s[20])/7128 + 
       (2776979*s[21])/28512 - (167435*s[22])/3564 - (753409*s[23])/6336 - 
       (4578269*s[24])/57024 + (49946005*s[25])/513216 - 
       (39501577*s[26])/513216 - (5*s[38])/3 + (217*s[39])/16 - 
       (217*s[40])/16 + (161*s[41])/12 - (497*s[42])/24 - (3673*s[43])/528 + 
       (9349*s[44])/1056 - (1755*s[45])/176 + (24515*s[46])/264 - 
       (24385*s[47])/3168 + (37325*s[48])/3168 + (117067*s[49])/3168 - 
       (3111*s[50])/44 - (10957*s[51])/1056 - (32843*s[52])/3168 + 
       (20875*s[53])/396 - (40*s[54])/11 + (333505*s[55])/1056 + 
       (85909*s[56])/1056 - (127231*s[57])/792 + (1601647*s[58])/9504 - 
       (1630765*s[59])/9504 - (12622741*s[60])/19008 + 
       (1220383*s[61])/28512 - 3*s[82]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 0, 1}, 1 - w]*((5*s[4])/2 - (454*s[5])/11 - 
       (637*s[6])/11 - (44521*s[7])/132 - (1381*s[8])/198 + (5137*s[9])/18 + 
       (1081*s[10])/9 + (43481*s[11])/132 + (8887*s[12])/33 + 
       (28621*s[13])/132 + (37463*s[14])/132 + (2459*s[15])/4 + 
       (20605*s[16])/33 + (31161*s[17])/44 - (157*s[18])/54 + 
       (3254*s[19])/27 + (235073*s[20])/297 + (349889*s[21])/1188 - 
       (198619*s[22])/1188 + (12136*s[23])/33 - (326189*s[24])/594 + 
       (990758*s[25])/2673 - (1278661*s[26])/5346 - 7*s[37] - 18*s[38] - 
       (17*s[39])/2 + (17*s[40])/2 - (5*s[41])/2 + (59*s[42])/2 - 
       (1147*s[43])/22 + (229*s[44])/11 - (1629*s[45])/22 + (3708*s[46])/11 + 
       (1933*s[47])/66 - (6251*s[48])/66 + (10679*s[49])/66 - 
       (3204*s[50])/11 - (413*s[51])/33 + (490*s[52])/33 + (7322*s[53])/33 - 
       (299*s[54])/11 + (111437*s[55])/66 + (3452*s[56])/11 + 
       (45929*s[57])/33 + (8971*s[58])/99 - (19027*s[59])/99 - 
       (1502849*s[60])/396 + (160999*s[61])/1188 - 3*s[82]) + 
     HPL[{1}, 1 - w]^4*HPL[{0, 1, 1}, 1 - v]*(-s[1]/24 + (233*s[4])/72 + 
       (3439*s[5])/792 + (383*s[6])/22 + (175249*s[7])/3168 + 
       (57283*s[8])/28512 - (109009*s[9])/2592 - (32147*s[10])/2592 - 
       (1168385*s[11])/19008 - (279289*s[12])/4752 - (1103123*s[13])/19008 - 
       (767555*s[14])/19008 - (23495*s[15])/288 - (1799993*s[16])/19008 - 
       (1761545*s[17])/19008 + (46441*s[18])/7776 - (84023*s[19])/3888 - 
       (8884783*s[20])/85536 - (6163961*s[21])/171072 + 
       (4522015*s[22])/171072 - (1120835*s[23])/19008 + 
       (16225243*s[24])/171072 - (60072835*s[25])/769824 + 
       (3987779*s[26])/96228 + (43*s[38])/9 - (119*s[39])/72 + 
       (119*s[40])/72 - (233*s[41])/72 - (3*s[42])/2 + (1211*s[43])/88 - 
       (7385*s[44])/704 + (2729*s[45])/264 - (49165*s[46])/792 - 
       (139573*s[47])/19008 + (465383*s[48])/19008 - (749723*s[49])/19008 + 
       (1384*s[50])/33 + (34471*s[51])/6336 + (46033*s[52])/19008 - 
       (258305*s[53])/9504 + (7057*s[54])/396 - (4319725*s[55])/19008 - 
       (47711*s[56])/704 - (695677*s[57])/4752 - (2750387*s[58])/57024 + 
       (2856611*s[59])/57024 + (75956081*s[60])/114048 - 
       (467389*s[61])/21384 - (29*s[82])/12) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*((11*s[4])/24 + 
       (863*s[5])/132 + (1743*s[6])/88 + (27853*s[7])/528 + (1808*s[8])/297 - 
       (8851*s[9])/216 - (2867*s[10])/216 - (46873*s[11])/792 - 
       (41111*s[12])/792 - (24899*s[13])/396 - (52297*s[14])/792 - 
       (3895*s[15])/48 - (146801*s[16])/1584 - (20731*s[17])/198 + 
       (8581*s[18])/648 - (17479*s[19])/648 - (387029*s[20])/3564 - 
       (267805*s[21])/7128 + (90919*s[22])/3564 - (230789*s[23])/1584 + 
       (1604557*s[24])/14256 - (1133617*s[25])/16038 + 
       (2483395*s[26])/64152 + 2*s[37] + (41*s[38])/6 + (49*s[39])/24 - 
       (49*s[40])/24 - (11*s[41])/24 - (73*s[42])/8 + (1483*s[43])/88 - 
       (747*s[44])/88 + (927*s[45])/88 - (7247*s[46])/132 - 
       (7277*s[47])/792 + (15287*s[48])/396 - (18647*s[49])/396 + 
       (423*s[50])/11 + (397*s[51])/88 - (1517*s[52])/396 - 
       (20993*s[53])/792 + (505*s[54])/33 - (187811*s[55])/792 - 
       (2557*s[56])/44 - (26926*s[57])/99 - (1394*s[58])/297 + 
       (19685*s[59])/1188 + (3433867*s[60])/4752 - (97523*s[61])/7128 - 
       2*s[82]) + HPL[{1}, 1 - w]^2*M1[v, w, u]*((35*s[4])/24 + 
       (203*s[5])/132 + (511*s[6])/88 + (10429*s[7])/528 + (59*s[8])/297 - 
       (3319*s[9])/216 - (839*s[10])/216 - (17041*s[11])/792 - 
       (16493*s[12])/792 - (1877*s[13])/99 - (10783*s[14])/792 - 
       (461*s[15])/16 - (52685*s[16])/1584 - (3221*s[17])/99 + 
       (349*s[18])/648 - (3811*s[19])/648 - (135701*s[20])/3564 - 
       (98779*s[21])/7128 + (16931*s[22])/1782 - (19853*s[23])/1584 + 
       (440581*s[24])/14256 - (866021*s[25])/32076 + (977077*s[26])/64152 + 
       s[37]/3 + (4*s[38])/3 - (11*s[39])/24 + (11*s[40])/24 - 
       (35*s[41])/24 - s[42]/8 + (383*s[43])/88 - (197*s[44])/88 + 
       (311*s[45])/88 - (2891*s[46])/132 - (1271*s[47])/792 + 
       (1423*s[48])/198 - (1106*s[49])/99 + (159*s[50])/11 + 
       (509*s[51])/264 + (215*s[52])/198 - (8453*s[53])/792 + 
       (307*s[54])/33 - (67229*s[55])/792 - (569*s[56])/22 - 
       (9269*s[57])/198 - (22307*s[58])/1188 + (5936*s[59])/297 + 
       (1038133*s[60])/4752 - (7531*s[61])/792 - 2*s[82]) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 1}, 1 - u]*(-s[1]/6 + s[2]/6 + 
       (10*s[4])/3 - (76*s[5])/33 + (72*s[6])/11 + (49*s[7])/33 - 
       (76*s[8])/297 + (61*s[9])/27 + (155*s[10])/27 - (878*s[11])/99 - 
       (3149*s[12])/198 - (3727*s[13])/198 + (1667*s[14])/198 + 
       (32*s[15])/3 + (413*s[16])/198 + (1612*s[17])/99 + (371*s[18])/81 - 
       (176*s[19])/81 + (17071*s[20])/891 + (15299*s[21])/1782 + 
       (677*s[22])/1782 + (1264*s[23])/99 + (6073*s[24])/891 - 
       (299401*s[25])/16038 + (73663*s[26])/16038 + (4*s[38])/3 - 
       (10*s[39])/3 + (10*s[40])/3 - (10*s[41])/3 + 4*s[42] + (46*s[43])/11 - 
       (45*s[44])/11 - (14*s[45])/11 - (290*s[46])/33 - (16*s[47])/99 + 
       (743*s[48])/99 - (1250*s[49])/99 - (29*s[50])/11 + (74*s[51])/33 + 
       (427*s[52])/99 + (533*s[53])/99 + (382*s[54])/33 + (2516*s[55])/99 - 
       (685*s[56])/33 + (7739*s[57])/99 - (10067*s[58])/297 + 
       (7490*s[59])/297 + (30275*s[60])/594 - (3523*s[61])/891 - 2*s[82]) + 
     HPL[{1}, 1 - w]^3*Omega2[u, v, w]*((7*s[4])/12 - (239*s[5])/66 - 
       (305*s[6])/44 - (7673*s[7])/264 - (1097*s[8])/594 + (2593*s[9])/108 + 
       (1133*s[10])/108 + (3028*s[11])/99 + (2525*s[12])/99 + 
       (2482*s[13])/99 + (11425*s[14])/396 + (1231*s[15])/24 + 
       (43409*s[16])/792 + (24643*s[17])/396 - (1477*s[18])/324 + 
       (4687*s[19])/324 + (116663*s[20])/1782 + (81097*s[21])/3564 - 
       (12959*s[22])/891 + (45011*s[23])/792 - (403963*s[24])/7128 + 
       (1148809*s[25])/32076 - (163045*s[26])/8019 - (8*s[38])/3 - 
       (7*s[39])/12 + (7*s[40])/12 - (7*s[41])/12 + (15*s[42])/4 - 
       (285*s[43])/44 + (137*s[44])/44 - (293*s[45])/44 + (1979*s[46])/66 + 
       (1697*s[47])/396 - (2831*s[48])/198 + (4247*s[49])/198 - 
       (280*s[50])/11 - (161*s[51])/132 + (401*s[52])/198 + 
       (6773*s[53])/396 + s[54]/33 + (55631*s[55])/396 + (290*s[56])/11 + 
       (13748*s[57])/99 + (1985*s[58])/594 - (6779*s[59])/594 - 
       (896515*s[60])/2376 + (16183*s[61])/1782 - 2*s[82]) + 
     HPL[{1}, 1 - w]^2*M1[w, v, u]*((83*s[4])/12 - (281*s[5])/132 + 
       (169*s[6])/22 + (9785*s[7])/264 - (9191*s[8])/1188 - (2629*s[9])/108 - 
       (71*s[10])/108 - (8729*s[11])/198 - (46237*s[12])/792 - 
       (28667*s[13])/792 + (13285*s[14])/792 - (953*s[15])/24 - 
       (22843*s[16])/396 - (7021*s[17])/396 - (2861*s[18])/324 + 
       (407*s[19])/324 - (42343*s[20])/891 - (97547*s[21])/7128 + 
       (126145*s[22])/7128 + (72799*s[23])/792 + (258037*s[24])/7128 - 
       (529084*s[25])/8019 + (963931*s[26])/32076 + (2*s[38])/3 - 
       (20*s[39])/3 + (20*s[40])/3 - (83*s[41])/12 + (59*s[42])/4 + 
       (52*s[43])/11 - (48*s[44])/11 + (53*s[45])/22 - (3035*s[46])/66 + 
       (1181*s[47])/198 - (218*s[48])/99 - (2861*s[49])/198 + 
       (1461*s[50])/44 + (267*s[51])/22 + (938*s[52])/99 - (2213*s[53])/99 + 
       (1153*s[54])/66 - (51935*s[55])/396 - (2557*s[56])/44 + 
       (10705*s[57])/99 - (109999*s[58])/1188 + (99985*s[59])/1188 + 
       (352079*s[60])/1188 - (191089*s[61])/7128 - s[82]) + 
     HPL[{1}, 1 - w]^5*HPL[{0, 1}, 1 - w]*((101*s[4])/48 + (377*s[5])/264 + 
       (1697*s[6])/176 + (8941*s[7])/352 + (865*s[8])/1188 - 
       (8089*s[9])/432 - (1793*s[10])/432 - (48685*s[11])/1584 - 
       (50081*s[12])/1584 - (6371*s[13])/198 - (27361*s[14])/1584 - 
       (1047*s[15])/32 - (135407*s[16])/3168 - (30485*s[17])/792 + 
       (6343*s[18])/1296 - (14449*s[19])/1296 - (299159*s[20])/7128 - 
       (185917*s[21])/14256 + (44021*s[22])/3564 - (93611*s[23])/3168 + 
       (1344883*s[24])/28512 - (665189*s[25])/16038 + 
       (2513521*s[26])/128304 + (2*s[37])/3 + (8*s[38])/3 - (77*s[39])/48 + 
       (77*s[40])/48 - (101*s[41])/48 + s[42]/16 + (1321*s[43])/176 - 
       (831*s[44])/176 + (785*s[45])/176 - (8009*s[46])/264 - 
       (5189*s[47])/1584 + (5641*s[48])/396 - (2215*s[49])/99 + 
       (205*s[50])/11 + (1555*s[51])/528 + (569*s[52])/396 - 
       (18527*s[53])/1584 + (344*s[54])/33 - (158759*s[55])/1584 - 
       (395*s[56])/11 - (20957*s[57])/396 - (66479*s[58])/2376 + 
       (8251*s[59])/297 + (3068215*s[60])/9504 - (154711*s[61])/14256 - 
       s[82]) + HPL[{1}, 1 - w]^2*M1[u, v, w]*((-5*s[4])/24 + 
       (355*s[5])/132 + (223*s[6])/88 + (10037*s[7])/528 + (97*s[8])/297 - 
       (3563*s[9])/216 - (1459*s[10])/216 - (13529*s[11])/792 - 
       (10195*s[12])/792 - (3781*s[13])/396 - (14117*s[14])/792 - 
       (1639*s[15])/48 - (54337*s[16])/1584 - (4027*s[17])/99 - 
       (1135*s[18])/648 - (3107*s[19])/648 - (169843*s[20])/3564 - 
       (129377*s[21])/7128 + (33185*s[22])/3564 - (29965*s[23])/1584 + 
       (391997*s[24])/14256 - (141655*s[25])/8019 + (829751*s[26])/64152 + 
       (4*s[37])/3 + (2*s[38])/3 + (29*s[39])/24 - (29*s[40])/24 + 
       (5*s[41])/24 - (17*s[42])/8 + (199*s[43])/88 - (17*s[44])/88 + 
       (367*s[45])/88 - (2311*s[46])/132 - (1207*s[47])/792 + 
       (340*s[48])/99 - (481*s[49])/99 + (347*s[50])/22 + (71*s[51])/88 - 
       (106*s[52])/99 - (10585*s[53])/792 + (116*s[54])/33 - 
       (77293*s[55])/792 - (174*s[56])/11 - (8504*s[57])/99 - 
       (2173*s[58])/1188 + (2191*s[59])/297 + (917033*s[60])/4752 - 
       (54083*s[61])/7128 - s[82]) + HPL[{1}, 1 - w]^2*Nt[u, v, w]*
      ((7*s[4])/24 - (239*s[5])/132 - (305*s[6])/88 - (7673*s[7])/528 - 
       (1097*s[8])/1188 + (2593*s[9])/216 + (1133*s[10])/216 + 
       (1514*s[11])/99 + (2525*s[12])/198 + (1241*s[13])/99 + 
       (11425*s[14])/792 + (1231*s[15])/48 + (43409*s[16])/1584 + 
       (24643*s[17])/792 - (1477*s[18])/648 + (4687*s[19])/648 + 
       (116663*s[20])/3564 + (81097*s[21])/7128 - (12959*s[22])/1782 + 
       (45011*s[23])/1584 - (403963*s[24])/14256 + (1148809*s[25])/64152 - 
       (163045*s[26])/16038 - (4*s[38])/3 - (7*s[39])/24 + (7*s[40])/24 - 
       (7*s[41])/24 + (15*s[42])/8 - (285*s[43])/88 + (137*s[44])/88 - 
       (293*s[45])/88 + (1979*s[46])/132 + (1697*s[47])/792 - 
       (2831*s[48])/396 + (4247*s[49])/396 - (140*s[50])/11 - 
       (161*s[51])/264 + (401*s[52])/396 + (6773*s[53])/792 + s[54]/66 + 
       (55631*s[55])/792 + (145*s[56])/11 + (6874*s[57])/99 + 
       (1985*s[58])/1188 - (6779*s[59])/1188 - (896515*s[60])/4752 + 
       (16183*s[61])/3564 - s[82]) + HPL[{1}, 1 - w]^2*Ot[u, v, w]*
      ((19*s[4])/24 - (1049*s[5])/132 - (917*s[6])/88 - (11177*s[7])/176 - 
       (805*s[8])/594 + (11665*s[9])/216 + (5021*s[10])/216 + 
       (48769*s[11])/792 + (39359*s[12])/792 + (15671*s[13])/396 + 
       (42799*s[14])/792 + (1875*s[15])/16 + (187271*s[16])/1584 + 
       (53513*s[17])/396 - (307*s[18])/648 + (14857*s[19])/648 + 
       (537035*s[20])/3564 + (400111*s[21])/7128 - (112399*s[22])/3564 + 
       (112535*s[23])/1584 - (1477591*s[24])/14256 + (2204615*s[25])/32076 - 
       (2873371*s[26])/64152 - (4*s[37])/3 - (10*s[38])/3 - (43*s[39])/24 + 
       (43*s[40])/24 - (19*s[41])/24 + (47*s[42])/8 - (841*s[43])/88 + 
       (327*s[44])/88 - (1241*s[45])/88 + (8321*s[46])/132 + 
       (4385*s[47])/792 - (1733*s[48])/99 + (5965*s[49])/198 - 
       (609*s[50])/11 - (559*s[51])/264 + (631*s[52])/198 + 
       (33455*s[53])/792 - (118*s[54])/33 + (254003*s[55])/792 + 
       (1267*s[56])/22 + (53261*s[57])/198 + (17069*s[58])/1188 - 
       (10229*s[59])/297 - (3399211*s[60])/4752 + (59881*s[61])/2376 - 
       s[82]) + HPL[{1}, 1 - w]^2*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((199*s[4])/24 - (3077*s[5])/132 - (657*s[6])/88 - (23685*s[7])/176 - 
       (2677*s[8])/594 + (26605*s[9])/216 + (13625*s[10])/216 + 
       (87253*s[11])/792 + (51779*s[12])/792 + (13511*s[13])/396 + 
       (111019*s[14])/792 + (13973*s[15])/48 + (414395*s[16])/1584 + 
       (133217*s[17])/396 + (10457*s[18])/648 + (25045*s[19])/648 + 
       (1359311*s[20])/3564 + (1095451*s[21])/7128 - (238471*s[22])/3564 + 
       (257003*s[23])/1584 - (2854411*s[24])/14256 + (3084995*s[25])/32076 - 
       (5853343*s[26])/64152 - (8*s[37])/3 - (10*s[38])/3 - (319*s[39])/24 + 
       (319*s[40])/24 - (199*s[41])/24 + (179*s[42])/8 - (901*s[43])/88 - 
       (325*s[44])/88 - (2933*s[45])/88 + (15245*s[46])/132 + 
       (7373*s[47])/792 - (1805*s[48])/99 + (5209*s[49])/198 - 
       (1361*s[50])/11 + (301*s[51])/264 + (2791*s[52])/198 + 
       (81155*s[53])/792 + (182*s[54])/33 + (601847*s[55])/792 + 
       (1995*s[56])/22 + (153569*s[57])/198 - (54511*s[58])/1188 - 
       (5267*s[59])/297 - (6603535*s[60])/4752 + (13445*s[61])/264 - s[82]) + 
     HPL[{1}, 1 - w]^4*HPL[{0, 1, 1}, 1 - u]*((97*s[4])/48 + (101*s[5])/33 + 
       (6637*s[6])/528 + (15223*s[7])/396 + (8435*s[8])/9504 - 
       (26099*s[9])/864 - (7093*s[10])/864 - (284941*s[11])/6336 - 
       (70151*s[12])/1584 - (90469*s[13])/2112 - (193051*s[14])/6336 - 
       (1967*s[15])/36 - (47547*s[16])/704 - (424217*s[17])/6336 + 
       (16619*s[18])/2592 - (1348*s[19])/81 - (2061167*s[20])/28512 - 
       (1343305*s[21])/57024 + (1101275*s[22])/57024 - (36401*s[23])/704 + 
       (4141793*s[24])/57024 - (14999201*s[25])/256608 + 
       (1879967*s[26])/64152 + (67*s[37])/36 + (11*s[38])/3 - (61*s[39])/48 + 
       (61*s[40])/48 - (97*s[41])/48 - (67*s[42])/48 + (5351*s[43])/528 - 
       (2163*s[44])/704 + (1301*s[45])/176 - (5785*s[46])/132 - 
       (7895*s[47])/2112 + (43849*s[48])/2112 - (21607*s[49])/704 + 
       (1973*s[50])/66 + (20749*s[51])/6336 + (175*s[52])/2112 - 
       (22337*s[53])/1056 + (445*s[54])/33 - (1092805*s[55])/6336 - 
       (110131*s[56])/2112 - (184025*s[57])/1584 - (552599*s[58])/19008 + 
       (660455*s[59])/19008 + (6117283*s[60])/12672 - (61987*s[61])/3564 - 
       (3*s[82])/4) + HPL[{1}, 1 - w]^4*HPL[{0, 0, 1}, 1 - v]*
      ((65*s[4])/72 - (1865*s[5])/792 - (25*s[6])/22 - (41975*s[7])/3168 - 
       (27293*s[8])/28512 + (31007*s[9])/2592 + (17053*s[10])/2592 + 
       (210367*s[11])/19008 + (29531*s[12])/4752 + (73597*s[13])/19008 + 
       (277837*s[14])/19008 + (8929*s[15])/288 + (504679*s[16])/19008 + 
       (656599*s[17])/19008 + (7081*s[18])/7776 + (18529*s[19])/3888 + 
       (3239777*s[20])/85536 + (2725111*s[21])/171072 - 
       (1113905*s[22])/171072 + (377293*s[23])/19008 - 
       (3693749*s[24])/171072 + (7201637*s[25])/769824 - 
       (457223*s[26])/48114 + s[37]/2 - (5*s[38])/9 - (95*s[39])/72 + 
       (95*s[40])/72 - (65*s[41])/72 + (5*s[42])/2 - (125*s[43])/88 + 
       (247*s[44])/704 - (895*s[45])/264 + (9275*s[46])/792 + 
       (23483*s[47])/19008 - (59017*s[48])/19008 + (81109*s[49])/19008 - 
       (410*s[50])/33 + (1783*s[51])/6336 + (22657*s[52])/19008 + 
       (86527*s[53])/9504 + (493*s[54])/396 + (1395395*s[55])/19008 + 
       (7089*s[56])/704 + (388547*s[57])/4752 - (299555*s[58])/57024 - 
       (59341*s[59])/57024 - (17047999*s[60])/114048 + (197365*s[61])/42768 - 
       (5*s[82])/12) + HPL[{1}, 1 - u]^4*HPL[{0, 1, 1}, 1 - v]*
      ((4105*s[4])/288 - (533*s[5])/528 + (31771*s[6])/2112 + 
       (1396925*s[7])/19008 - (764219*s[8])/57024 - (292357*s[9])/5184 - 
       (8617*s[10])/2592 - (3280517*s[11])/38016 - (3929845*s[12])/38016 - 
       (1286213*s[13])/19008 + (331349*s[14])/19008 - (137425*s[15])/1728 - 
       (2201621*s[16])/19008 - (827143*s[17])/12672 - (211781*s[18])/15552 - 
       (87511*s[19])/15552 - (2237123*s[20])/21384 - (4911517*s[21])/171072 + 
       (3197797*s[22])/85536 + (4919573*s[23])/38016 + 
       (24941797*s[24])/342144 - (395764475*s[25])/3079296 + 
       (173860619*s[26])/3079296 - (4*s[37])/9 - (1829*s[39])/144 + 
       (1829*s[40])/144 - (4225*s[41])/288 + (6037*s[42])/288 + 
       (9997*s[43])/1584 - (25229*s[44])/2112 + (16921*s[45])/1584 - 
       (2025*s[46])/22 + (258767*s[47])/19008 - (300649*s[48])/19008 - 
       (500267*s[49])/19008 + (49685*s[50])/792 + (137119*s[51])/6336 + 
       (283711*s[52])/19008 - (447443*s[53])/9504 + (1249*s[54])/66 - 
       (5496289*s[55])/19008 - (605029*s[56])/6336 + (296387*s[57])/1584 - 
       (9828787*s[58])/57024 + (9106993*s[59])/57024 + 
       (70143971*s[60])/114048 - (23140589*s[61])/513216 + s[82]/2) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^5*((-17*s[4])/24 - (145*s[5])/264 - 
       (69*s[6])/22 - (9379*s[7])/1056 - (1999*s[8])/9504 + (5701*s[9])/864 + 
       (1319*s[10])/864 + (65693*s[11])/6336 + (16627*s[12])/1584 + 
       (66743*s[13])/6336 + (38111*s[14])/6336 + (1105*s[15])/96 + 
       (93617*s[16])/6336 + (85517*s[17])/6336 - (3289*s[18])/2592 + 
       (4541*s[19])/1296 + (433507*s[20])/28512 + (276149*s[21])/57024 - 
       (243643*s[22])/57024 + (57491*s[23])/6336 - (885043*s[24])/57024 + 
       (3535027*s[25])/256608 - (214553*s[26])/32076 - s[37]/6 - 
       (5*s[38])/6 + (11*s[39])/24 - (11*s[40])/24 + (17*s[41])/24 - 
       (213*s[43])/88 + (1171*s[44])/704 - (137*s[45])/88 + 
       (2725*s[46])/264 + (7285*s[47])/6336 - (27431*s[48])/6336 + 
       (43859*s[49])/6336 - (569*s[50])/88 - (2207*s[51])/2112 - 
       (3169*s[52])/6336 + (13457*s[53])/3168 - (481*s[54])/132 + 
       (222589*s[55])/6336 + (8277*s[56])/704 + (29467*s[57])/1584 + 
       (179915*s[58])/19008 - (176699*s[59])/19008 - (4104137*s[60])/38016 + 
       (52691*s[61])/14256 + s[82]/2) + HPL[{1}, 1 - v]^4*
      HPL[{0, 1, 1}, 1 - u]*(s[3]/24 + (5051*s[4])/288 - (10991*s[5])/528 - 
       (4657*s[6])/704 - (1329875*s[7])/19008 - (660607*s[8])/57024 + 
       (418627*s[9])/5184 + (57233*s[10])/1296 + (2274803*s[11])/38016 + 
       (1247197*s[12])/38016 - (9791*s[13])/9504 + (427387*s[14])/4752 + 
       (233695*s[15])/1728 + (82363*s[16])/594 + (2171777*s[17])/12672 + 
       (837407*s[18])/15552 - (398741*s[19])/15552 + (21255587*s[20])/85536 + 
       (6611479*s[21])/42768 - (6900251*s[22])/171072 - 
       (2923763*s[23])/38016 - (12842647*s[24])/342144 + 
       (38763203*s[25])/3079296 - (236199263*s[26])/3079296 + s[37]/3 - 
       (235*s[38])/72 + (307*s[39])/24 - (103*s[40])/8 + (3295*s[41])/288 - 
       (5483*s[42])/288 - (1021*s[43])/396 + (23521*s[44])/3168 - 
       (1157*s[45])/264 + (40151*s[46])/792 - (23279*s[47])/4752 + 
       (73807*s[48])/4752 + (66769*s[49])/2376 - (1481*s[50])/33 - 
       (13259*s[51])/1584 - (94235*s[52])/9504 + (123709*s[53])/4752 + 
       (2207*s[54])/132 + (204287*s[55])/1584 + (60481*s[56])/3168 - 
       (266297*s[57])/1188 + (915745*s[58])/7128 - (3628855*s[59])/28512 - 
       (18204079*s[60])/57024 + (3022135*s[61])/171072 + s[82]/2) + 
     HPL[{1}, 1 - w]^2*M1[v, u, w]*((-5*s[4])/3 + (38*s[5])/33 - 
       (36*s[6])/11 - (41*s[7])/33 + (137*s[8])/297 - (43*s[9])/54 - 
       (173*s[10])/54 + (977*s[11])/198 + (3545*s[12])/396 + 
       (4321*s[13])/396 - (1469*s[14])/396 - (28*s[15])/3 - (611*s[16])/396 - 
       (1909*s[17])/198 - (389*s[18])/162 + (70*s[19])/81 - 
       (17863*s[20])/1782 - (22229*s[21])/3564 - (1667*s[22])/3564 - 
       (769*s[23])/198 - (2987*s[24])/891 + (346525*s[25])/32076 - 
       (42379*s[26])/32076 - s[37] - (2*s[38])/3 + (5*s[39])/3 - 
       (5*s[40])/3 + (5*s[41])/3 - 2*s[42] - (23*s[43])/11 + (45*s[44])/22 + 
       (7*s[45])/11 + (145*s[46])/33 + (115*s[47])/198 - (322*s[48])/99 + 
       (1151*s[49])/198 + (29*s[50])/22 - (107*s[51])/66 - (164*s[52])/99 - 
       (335*s[53])/198 - (191*s[54])/33 - (2417*s[55])/198 + (83*s[56])/11 - 
       (8069*s[57])/198 + (5017*s[58])/297 - (6863*s[59])/594 - 
       (7247*s[60])/297 + (1030*s[61])/891 + s[82]) + 
     HPL[{1}, 1 - w]^5*HPL[{0, 1}, 1 - v]*((-17*s[4])/12 - (145*s[5])/132 - 
       (69*s[6])/11 - (9379*s[7])/528 - (1999*s[8])/4752 + (5701*s[9])/432 + 
       (1319*s[10])/432 + (65693*s[11])/3168 + (16627*s[12])/792 + 
       (66743*s[13])/3168 + (38111*s[14])/3168 + (1105*s[15])/48 + 
       (93617*s[16])/3168 + (85517*s[17])/3168 - (3289*s[18])/1296 + 
       (4541*s[19])/648 + (433507*s[20])/14256 + (276149*s[21])/28512 - 
       (243643*s[22])/28512 + (57491*s[23])/3168 - (885043*s[24])/28512 + 
       (3535027*s[25])/128304 - (214553*s[26])/16038 - s[37]/3 - 
       (5*s[38])/3 + (11*s[39])/12 - (11*s[40])/12 + (17*s[41])/12 - 
       (213*s[43])/44 + (1171*s[44])/352 - (137*s[45])/44 + 
       (2725*s[46])/132 + (7285*s[47])/3168 - (27431*s[48])/3168 + 
       (43859*s[49])/3168 - (569*s[50])/44 - (2207*s[51])/1056 - 
       (3169*s[52])/3168 + (13457*s[53])/1584 - (481*s[54])/66 + 
       (222589*s[55])/3168 + (8277*s[56])/352 + (29467*s[57])/792 + 
       (179915*s[58])/9504 - (176699*s[59])/9504 - (4104137*s[60])/19008 + 
       (52691*s[61])/7128 + s[82]) + HPL[{1}, 1 - w]^4*HPL[{0, 0, 1}, 1 - u]*
      (-s[1]/48 - (5*s[4])/16 - (40*s[5])/11 - (3155*s[6])/528 - 
       (5965*s[7])/198 - (6029*s[8])/9504 + (21821*s[9])/864 + 
       (8059*s[10])/864 + (188371*s[11])/6336 + (39653*s[12])/1584 + 
       (134561*s[13])/6336 + (169141*s[14])/6336 + (911*s[15])/18 + 
       (341357*s[16])/6336 + (42543*s[17])/704 + (523*s[18])/2592 + 
       (1529*s[19])/162 + (1972961*s[20])/28512 + (1449703*s[21])/57024 - 
       (846005*s[22])/57024 + (210839*s[23])/6336 - (2731247*s[24])/57024 + 
       (8669591*s[25])/256608 - (1368911*s[26])/64152 - (17*s[37])/9 - 
       (5*s[38])/3 - (15*s[39])/16 + (15*s[40])/16 + (5*s[41])/16 + 
       (125*s[42])/48 - (2665*s[43])/528 + (893*s[44])/704 - 
       (1115*s[45])/176 + (3955*s[46])/132 + (16939*s[47])/6336 - 
       (56981*s[48])/6336 + (83537*s[49])/6336 - (1615*s[50])/66 - 
       (10883*s[51])/6336 + (6461*s[52])/6336 + (61661*s[53])/3168 - 
       (78*s[54])/11 + (311225*s[55])/2112 + (63773*s[56])/2112 + 
       (191111*s[57])/1584 + (61715*s[58])/6336 - (107011*s[59])/6336 - 
       (12555527*s[60])/38016 + (29549*s[61])/2376 + (5*s[82])/4) + 
     HPL[{1}, 1 - v]^5*HPL[{1}, 1 - w]^2*((163*s[4])/96 + (395*s[5])/176 + 
       (4369*s[6])/1056 + (189449*s[7])/6336 - (22105*s[8])/9504 - 
       (11275*s[9])/432 - (3503*s[10])/432 - (199135*s[11])/6336 - 
       (3089*s[12])/99 - (119021*s[13])/6336 - (39163*s[14])/6336 - 
       (25627*s[15])/576 - (83213*s[16])/1584 - (32997*s[17])/704 - 
       (2141*s[18])/324 - (8291*s[19])/2592 - (1751183*s[20])/28512 - 
       (1473625*s[21])/57024 + (885893*s[22])/57024 + (26561*s[23])/792 + 
       (446267*s[24])/14256 - (603797*s[25])/16038 + (191707*s[26])/8019 + 
       (11*s[38])/48 - (117*s[39])/32 + (117*s[40])/32 - (355*s[41])/96 + 
       (545*s[42])/96 + (2417*s[43])/1056 - (5189*s[44])/2112 + 
       (1503*s[45])/352 - (17533*s[46])/528 + (14327*s[47])/6336 - 
       (21907*s[48])/6336 - (71933*s[49])/6336 + (13615*s[50])/528 + 
       (6163*s[51])/2112 + (16315*s[52])/6336 - (16205*s[53])/792 + 
       (527*s[54])/264 - (269059*s[55])/2112 - (64853*s[56])/2112 + 
       (36161*s[57])/1584 - (965237*s[58])/19008 + (1030745*s[59])/19008 + 
       (9548261*s[60])/38016 - (76051*s[61])/4752 + (3*s[82])/2) + 
     HPL[{1}, 1 - u]^5*HPL[{1}, 1 - w]^2*((65*s[4])/32 - (15*s[5])/11 + 
       (529*s[6])/704 - (9175*s[7])/2112 - (1277*s[8])/2112 + 
       (929*s[9])/192 + (455*s[10])/96 + (2361*s[11])/1408 - 
       (3583*s[12])/1408 - (5921*s[13])/2112 + (5607*s[14])/704 + 
       (3359*s[15])/192 + (23575*s[16])/2112 + (29281*s[17])/1408 - 
       (475*s[18])/576 + (1747*s[19])/576 + (1633*s[20])/99 + 
       (16867*s[21])/2112 - (6563*s[22])/3168 + (54797*s[23])/4224 - 
       (11065*s[24])/1408 - (32779*s[25])/38016 - (115253*s[26])/38016 - 
       (5*s[37])/12 - (19*s[39])/16 + (19*s[40])/16 - (69*s[41])/32 + 
       (31*s[42])/32 - (131*s[43])/176 - (365*s[44])/704 - (271*s[45])/176 + 
       (119*s[46])/44 + (1171*s[47])/704 - (2437*s[48])/704 + 
       (4399*s[49])/2112 - (351*s[50])/88 + (3151*s[51])/2112 + 
       (5209*s[52])/2112 + (6389*s[53])/1056 + (959*s[54])/264 + 
       (84313*s[55])/2112 + (9883*s[56])/2112 + (42797*s[57])/792 - 
       (213635*s[58])/19008 + (2297*s[59])/19008 - (212149*s[60])/4224 + 
       (269911*s[61])/171072 + (3*s[82])/2) + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - u]*(-s[1]/9 + s[2]/6 - 
       (125*s[4])/48 + (10925*s[5])/792 + (6803*s[6])/352 + 
       (80185*s[7])/1056 + (91277*s[8])/9504 - (57029*s[9])/864 - 
       (12647*s[10])/432 - (156623*s[11])/2112 - (325949*s[12])/6336 - 
       (163373*s[13])/3168 - (342697*s[14])/3168 - (41749*s[15])/288 - 
       (451289*s[16])/3168 - (389107*s[17])/2112 + (11957*s[18])/2592 - 
       (79145*s[19])/2592 - (749335*s[20])/3564 - (2572415*s[21])/28512 + 
       (530105*s[22])/14256 - (1082827*s[23])/6336 + (8089013*s[24])/57024 - 
       (35913061*s[25])/513216 + (32698153*s[26])/513216 + (8*s[37])/3 + 
       (65*s[38])/12 + (223*s[39])/24 - (223*s[40])/24 + (33*s[41])/8 - 
       (387*s[42])/16 + (295*s[43])/24 - (123*s[44])/32 + (225*s[45])/8 - 
       (313*s[46])/3 - (4939*s[47])/288 + (10133*s[48])/288 - 
       (9563*s[49])/288 + (439*s[50])/6 - (1045*s[51])/96 - (733*s[52])/96 - 
       (1019*s[53])/16 + (809*s[54])/24 - (18455*s[55])/32 - 
       (14275*s[56])/96 - (73559*s[57])/144 - (22121*s[58])/864 + 
       (51305*s[59])/864 + (688379*s[60])/576 - (15025*s[61])/288 + 
       (7*s[82])/4) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((-19*s[4])/12 + (1049*s[5])/66 + (917*s[6])/44 + (11177*s[7])/88 + 
       (805*s[8])/297 - (11665*s[9])/108 - (5021*s[10])/108 - 
       (48769*s[11])/396 - (39359*s[12])/396 - (15671*s[13])/198 - 
       (42799*s[14])/396 - (1875*s[15])/8 - (187271*s[16])/792 - 
       (53513*s[17])/198 + (307*s[18])/324 - (14857*s[19])/324 - 
       (537035*s[20])/1782 - (400111*s[21])/3564 + (112399*s[22])/1782 - 
       (112535*s[23])/792 + (1477591*s[24])/7128 - (2204615*s[25])/16038 + 
       (2873371*s[26])/32076 - s[36] + (8*s[37])/3 + (20*s[38])/3 + 
       (43*s[39])/12 - (43*s[40])/12 + (19*s[41])/12 - (47*s[42])/4 + 
       (841*s[43])/44 - (327*s[44])/44 + (1241*s[45])/44 - (8321*s[46])/66 - 
       (4385*s[47])/396 + (3466*s[48])/99 - (5965*s[49])/99 + 
       (1218*s[50])/11 + (559*s[51])/132 - (631*s[52])/99 - 
       (33455*s[53])/396 + (236*s[54])/33 - (254003*s[55])/396 - 
       (1267*s[56])/11 - (53261*s[57])/99 - (17069*s[58])/594 + 
       (20458*s[59])/297 + (3399211*s[60])/2376 - (60497*s[61])/1188 + 
       2*s[82]) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((-19*s[4])/12 + (1049*s[5])/66 + (917*s[6])/44 + (11177*s[7])/88 + 
       (805*s[8])/297 - (11665*s[9])/108 - (5021*s[10])/108 - 
       (48769*s[11])/396 - (39359*s[12])/396 - (15671*s[13])/198 - 
       (42799*s[14])/396 - (1875*s[15])/8 - (187271*s[16])/792 - 
       (53513*s[17])/198 + (307*s[18])/324 - (14857*s[19])/324 - 
       (537035*s[20])/1782 - (400111*s[21])/3564 + (112399*s[22])/1782 - 
       (112535*s[23])/792 + (1477591*s[24])/7128 - (2204615*s[25])/16038 + 
       (2873371*s[26])/32076 + (8*s[37])/3 + (20*s[38])/3 + (43*s[39])/12 - 
       (43*s[40])/12 + (19*s[41])/12 - (47*s[42])/4 + (841*s[43])/44 - 
       (327*s[44])/44 + (1241*s[45])/44 - (8321*s[46])/66 - 
       (4385*s[47])/396 + (3466*s[48])/99 - (5965*s[49])/99 + 
       (1218*s[50])/11 + (559*s[51])/132 - (631*s[52])/99 - 
       (33455*s[53])/396 + (236*s[54])/33 - (254003*s[55])/396 - 
       (1267*s[56])/11 - (53261*s[57])/99 - (17069*s[58])/594 + 
       (20458*s[59])/297 + (3399211*s[60])/2376 - (59881*s[61])/1188 + 
       2*s[82]) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      (-s[1] + 2*s[2] - (19*s[4])/12 + (1049*s[5])/66 + (917*s[6])/44 + 
       (11177*s[7])/88 + (805*s[8])/297 - (11665*s[9])/108 - 
       (5021*s[10])/108 - (48769*s[11])/396 - (39359*s[12])/396 - 
       (15671*s[13])/198 - (42799*s[14])/396 - (1875*s[15])/8 - 
       (187271*s[16])/792 - (53513*s[17])/198 + (307*s[18])/324 - 
       (14857*s[19])/324 - (537035*s[20])/1782 - (400111*s[21])/3564 + 
       (112399*s[22])/1782 - (112535*s[23])/792 + (1477591*s[24])/7128 - 
       (2204615*s[25])/16038 + (2873371*s[26])/32076 + (8*s[37])/3 + 
       (20*s[38])/3 + (43*s[39])/12 - (43*s[40])/12 + (19*s[41])/12 - 
       (47*s[42])/4 + (841*s[43])/44 - (327*s[44])/44 + (1241*s[45])/44 - 
       (8321*s[46])/66 - (4385*s[47])/396 + (3466*s[48])/99 - 
       (5965*s[49])/99 + (1218*s[50])/11 + (559*s[51])/132 - (631*s[52])/99 - 
       (33455*s[53])/396 + (236*s[54])/33 - (254003*s[55])/396 - 
       (1245*s[56])/11 - (53261*s[57])/99 - (17069*s[58])/594 + 
       (20458*s[59])/297 + (3399211*s[60])/2376 - (59881*s[61])/1188 + 
       2*s[82]) + HPL[{1}, 1 - v]^5*HPL[{0, 1}, 1 - w]*
      ((163*s[4])/48 + (395*s[5])/88 + (4369*s[6])/528 + (189449*s[7])/3168 - 
       (22105*s[8])/4752 - (11275*s[9])/216 - (3503*s[10])/216 - 
       (199135*s[11])/3168 - (6178*s[12])/99 - (119021*s[13])/3168 - 
       (39163*s[14])/3168 - (25627*s[15])/288 - (83213*s[16])/792 - 
       (32997*s[17])/352 - (2141*s[18])/162 - (8291*s[19])/1296 - 
       (1751183*s[20])/14256 - (1473625*s[21])/28512 + (885893*s[22])/28512 + 
       (26561*s[23])/396 + (446267*s[24])/7128 - (603797*s[25])/8019 + 
       (383414*s[26])/8019 + (11*s[38])/24 - (117*s[39])/16 + 
       (117*s[40])/16 - (355*s[41])/48 + (545*s[42])/48 + (2417*s[43])/528 - 
       (5189*s[44])/1056 + (1503*s[45])/176 - (17533*s[46])/264 + 
       (14327*s[47])/3168 - (21907*s[48])/3168 - (71933*s[49])/3168 + 
       (13615*s[50])/264 + (6163*s[51])/1056 + (16315*s[52])/3168 - 
       (16205*s[53])/396 + (527*s[54])/132 - (269059*s[55])/1056 - 
       (64853*s[56])/1056 + (36161*s[57])/792 - (965237*s[58])/9504 + 
       (1030745*s[59])/9504 + (9548261*s[60])/19008 - (76051*s[61])/2376 + 
       3*s[82]) + HPL[{1}, 1 - u]^5*HPL[{0, 1}, 1 - w]*
      ((65*s[4])/16 - (30*s[5])/11 + (529*s[6])/352 - (9175*s[7])/1056 - 
       (1277*s[8])/1056 + (929*s[9])/96 + (455*s[10])/48 + (2361*s[11])/704 - 
       (3583*s[12])/704 - (5921*s[13])/1056 + (5607*s[14])/352 + 
       (3359*s[15])/96 + (23575*s[16])/1056 + (29281*s[17])/704 - 
       (475*s[18])/288 + (1747*s[19])/288 + (3266*s[20])/99 + 
       (16867*s[21])/1056 - (6563*s[22])/1584 + (54797*s[23])/2112 - 
       (11065*s[24])/704 - (32779*s[25])/19008 - (115253*s[26])/19008 - 
       (3*s[37])/4 - (19*s[39])/8 + (19*s[40])/8 - (69*s[41])/16 + 
       (31*s[42])/16 - (131*s[43])/88 - (365*s[44])/352 - (271*s[45])/88 + 
       (119*s[46])/22 + (1171*s[47])/352 - (2437*s[48])/352 + 
       (4399*s[49])/1056 - (351*s[50])/44 + (3151*s[51])/1056 + 
       (5209*s[52])/1056 + (6389*s[53])/528 + (959*s[54])/132 + 
       (84313*s[55])/1056 + (9883*s[56])/1056 + (42797*s[57])/396 - 
       (213635*s[58])/9504 + (2297*s[59])/9504 - (212149*s[60])/2112 + 
       (269911*s[61])/85536 + 3*s[82]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*((95*s[4])/12 - (1459*s[5])/66 - (1171*s[6])/66 - 
       (50513*s[7])/396 - (967*s[8])/88 + (939*s[9])/8 + (1325*s[10])/24 + 
       (55597*s[11])/528 + (17141*s[12])/264 + (71455*s[13])/1584 + 
       (29091*s[14])/176 + (4415*s[15])/18 + (360115*s[16])/1584 + 
       (467483*s[17])/1584 + (4613*s[18])/216 + (2801*s[19])/108 + 
       (871411*s[20])/2376 + (722935*s[21])/4752 - (32521*s[22])/528 + 
       (349207*s[23])/1584 - (291043*s[24])/1584 + (898201*s[25])/10692 - 
       (1937063*s[26])/21384 - (5*s[37])/9 - 3*s[38] - (97*s[39])/6 + 
       (50*s[40])/3 - (23*s[41])/3 + (181*s[42])/6 - (1241*s[43])/66 + 
       (727*s[44])/176 - (325*s[45])/11 + (1233*s[46])/11 + 
       (31817*s[47])/1584 - (70879*s[48])/1584 + (45283*s[49])/1584 - 
       (2957*s[50])/33 + (5707*s[51])/1584 + (17767*s[52])/1584 + 
       (57247*s[53])/792 - (2597*s[54])/66 + (966661*s[55])/1584 + 
       (59711*s[56])/528 + (25018*s[57])/33 - (210505*s[58])/4752 + 
       (89893*s[59])/4752 - (12628333*s[60])/9504 + (14474*s[61])/297 + 
       4*s[82]) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      (-30*s[3] - (335*s[4])/2 + (5647*s[5])/22 + (30703*s[6])/88 + 
       (119399*s[7])/66 + (95309*s[8])/792 - (127499*s[9])/72 - 
       (13789*s[10])/18 - (910021*s[11])/528 - (762557*s[12])/528 - 
       (74967*s[13])/88 - (440381*s[14])/264 - (30883*s[15])/12 - 
       (139087*s[16])/44 - (1765913*s[17])/528 - (176191*s[18])/216 + 
       (53491*s[19])/216 - (2864723*s[20])/594 - (6052403*s[21])/2376 + 
       (1155365*s[22])/1188 + (47381*s[23])/176 + (7152155*s[24])/4752 - 
       (59749903*s[25])/42768 + (74023435*s[26])/42768 - 3*s[32] + 6*s[38] - 
       (373*s[39])/4 + (357*s[40])/4 - 94*s[41] + (271*s[42])/2 + 
       (4239*s[43])/44 - (3667*s[44])/88 + (12039*s[45])/44 - 
       (36437*s[46])/22 - (8867*s[47])/88 + (3431*s[48])/88 - 
       (31039*s[49])/88 + (12674*s[50])/11 - (8911*s[51])/264 + 
       (22543*s[52])/88 - (9112*s[53])/11 + (4691*s[54])/11 - 
       (1527101*s[55])/264 - (167259*s[56])/88 + (7583*s[57])/11 - 
       (707483*s[58])/264 + (611129*s[59])/264 + (2187139*s[60])/176 - 
       (269333*s[61])/264 + 6*s[82]) + B11[u, v, w]*HPL[{1}, 1 - u]*
      (11*s[4] + (156*s[5])/11 + (289*s[6])/11 + (8500*s[7])/33 - 
       (2044*s[8])/99 - (1994*s[9])/9 - (616*s[10])/9 - (9467*s[11])/33 - 
       (20939*s[12])/66 - (12833*s[13])/66 - (2023*s[14])/66 - 
       (995*s[15])/3 - (28181*s[16])/66 - (3505*s[17])/11 - (1171*s[18])/27 - 
       (1163*s[19])/27 - (152000*s[20])/297 - (111907*s[21])/594 + 
       (81005*s[22])/594 + (8336*s[23])/33 + (86737*s[24])/297 - 
       (1947985*s[25])/5346 + (1078135*s[26])/5346 + 2*s[37] + 12*s[38] - 
       38*s[39] + 40*s[40] - 29*s[41] + 51*s[42] + (375*s[43])/11 - 
       (380*s[44])/11 + (444*s[45])/11 - (3154*s[46])/11 + (430*s[47])/33 + 
       (133*s[48])/33 - (5107*s[49])/33 + (2356*s[50])/11 + (368*s[51])/11 + 
       (986*s[52])/33 - (4907*s[53])/33 + (60*s[54])/11 - (31763*s[55])/33 - 
       (2701*s[56])/11 + (2732*s[57])/11 - (44477*s[58])/99 + 
       (45362*s[59])/99 + (235997*s[60])/99 - (108082*s[61])/891 + 6*s[82]) + 
     B5[w, u, v]*HPL[{1}, 1 - v]*(4*s[3] + (13*s[4])/2 + (135*s[5])/22 + 
       (263*s[6])/22 + (12839*s[7])/132 - (1427*s[8])/198 - (728*s[9])/9 - 
       (461*s[10])/18 - (3605*s[11])/33 - (15739*s[12])/132 - 
       (3243*s[13])/44 - (1643*s[14])/132 - (1627*s[15])/12 - 
       (1863*s[16])/11 - (4468*s[17])/33 - (364*s[18])/27 - (584*s[19])/27 - 
       (115723*s[20])/594 - (83243*s[21])/1188 + (59011*s[22])/1188 + 
       (4629*s[23])/44 + (139387*s[24])/1188 - (379043*s[25])/2673 + 
       (204047*s[26])/2673 + s[37] + 5*s[38] - 14*s[39] + 15*s[40] - 
       10*s[41] + 18*s[42] + (152*s[43])/11 - (164*s[44])/11 + 
       (179*s[45])/11 - (1216*s[46])/11 + (25*s[47])/11 + (69*s[48])/11 - 
       (713*s[49])/11 + (909*s[50])/11 + (344*s[51])/33 + (98*s[52])/11 - 
       (641*s[53])/11 - (32*s[54])/11 - (4176*s[55])/11 - (989*s[56])/11 + 
       (2473*s[57])/33 - (16481*s[58])/99 + (17318*s[59])/99 + 
       (20851*s[60])/22 - (40169*s[61])/891 + 6*s[82]) + 
     B5[v, u, w]*HPL[{1}, 1 - v]*((5*s[4])/2 + (135*s[5])/22 + 
       (219*s[6])/22 + (13213*s[7])/132 - (1603*s[8])/198 - (772*s[9])/9 - 
       (517*s[10])/18 - (3682*s[11])/33 - (16157*s[12])/132 - 
       (3221*s[13])/44 - (1753*s[14])/132 - (527*s[15])/4 - (1863*s[16])/11 - 
       (4193*s[17])/33 - (485*s[18])/27 - (466*s[19])/27 - 
       (122015*s[20])/594 - (90877*s[21])/1188 + (62861*s[22])/1188 + 
       (4387*s[23])/44 + (137033*s[24])/1188 - (374632*s[25])/2673 + 
       (211912*s[26])/2673 + s[37] + 5*s[38] - 14*s[39] + 15*s[40] - 
       10*s[41] + 18*s[42] + (152*s[43])/11 - (164*s[44])/11 + 
       (179*s[45])/11 - (1216*s[46])/11 + (25*s[47])/11 + (69*s[48])/11 - 
       (713*s[49])/11 + (909*s[50])/11 + (344*s[51])/33 + (98*s[52])/11 - 
       (641*s[53])/11 - (32*s[54])/11 - (4176*s[55])/11 - (989*s[56])/11 + 
       (2473*s[57])/33 - (16481*s[58])/99 + (17318*s[59])/99 + 
       (20851*s[60])/22 - (40169*s[61])/891 + 6*s[82]) + 
     B3[v, w, u]*HPL[{1}, 1 - u]*(s[6] + 2*s[7] + s[8]/9 - (17*s[9])/9 - 
       s[10]/9 - (17*s[11])/6 - (14*s[12])/3 - (11*s[13])/6 - (17*s[14])/6 - 
       (4*s[15])/3 - (35*s[16])/6 - (17*s[17])/6 - (19*s[18])/27 + 
       (16*s[19])/27 - (229*s[20])/27 - (245*s[21])/54 + (85*s[22])/54 + 
       s[23]/6 + (145*s[24])/54 - (592*s[25])/243 + (763*s[26])/243 - s[41] + 
       s[42] - s[43] - 2*s[46] + (4*s[47])/3 - (5*s[48])/3 + (5*s[49])/3 + 
       2*s[50] + (2*s[52])/3 + s[53]/3 - (26*s[55])/3 - 7*s[56] + 
       (40*s[57])/3 - (79*s[58])/9 + (46*s[59])/9 + (173*s[60])/9 - 
       (55*s[61])/27 + 6*s[82]) + D19[w, u, v]*(s[4] - s[6] + (7*s[7])/3 - 
       (7*s[8])/9 - (16*s[9])/9 - (2*s[10])/9 - (19*s[11])/6 - (16*s[12])/3 - 
       (11*s[13])/6 + (5*s[14])/6 - (2*s[15])/3 - (29*s[16])/6 - s[17]/2 - 
       (59*s[18])/27 + (26*s[19])/27 - (191*s[20])/27 - (115*s[21])/54 + 
       (89*s[22])/54 + (61*s[23])/6 + (65*s[24])/54 - (902*s[25])/243 + 
       (407*s[26])/243 + s[40] - s[41] + s[42] - s[43] + s[45] - 2*s[46] + 
       (4*s[47])/3 - (5*s[48])/3 + (5*s[49])/3 + 2*s[50] + (2*s[52])/3 + 
       s[53]/3 - (26*s[55])/3 - 7*s[56] + (40*s[57])/3 - (79*s[58])/9 + 
       (46*s[59])/9 + (173*s[60])/9 - (55*s[61])/27 + 6*s[82]) + 
     D19[v, w, u]*(s[6] + 2*s[7] + s[8]/9 - (17*s[9])/9 - s[10]/9 - 
       (17*s[11])/6 - (14*s[12])/3 - (11*s[13])/6 - (17*s[14])/6 - 
       (4*s[15])/3 - (35*s[16])/6 - (17*s[17])/6 - (19*s[18])/27 + 
       (16*s[19])/27 - (229*s[20])/27 - (245*s[21])/54 + (85*s[22])/54 + 
       s[23]/6 + (145*s[24])/54 - (592*s[25])/243 + (763*s[26])/243 - s[41] + 
       s[42] - s[43] - 2*s[46] + (4*s[47])/3 - (5*s[48])/3 + (5*s[49])/3 + 
       2*s[50] + (2*s[52])/3 + s[53]/3 - (26*s[55])/3 - 7*s[56] + 
       (34*s[57])/3 - (73*s[58])/9 + (40*s[59])/9 + (194*s[60])/9 - 
       (49*s[61])/27 + 6*s[82]) + D19[u, v, w]*(-2*s[23] + (2*s[24])/3 - 
       4*s[57] + (4*s[58])/3 - (4*s[59])/3 + (2*s[60])/3 + (4*s[61])/9 + 
       6*s[82]) + B3[u, v, w]*HPL[{1}, 1 - v]*(-2*s[23] + (2*s[24])/3 - 
       4*s[57] + (4*s[58])/3 - (4*s[59])/3 + (2*s[60])/3 + (4*s[61])/9 + 
       6*s[82]) + HPL[{1}, 1 - v]^2*M1[w, u, v]*(s[4]/2 - (41*s[5])/44 - 
       (235*s[6])/176 - (1813*s[7])/264 + (1475*s[8])/1584 + 
       (1075*s[9])/144 - (19*s[10])/36 + (6725*s[11])/1056 + 
       (8797*s[12])/1056 + (1145*s[13])/528 + (685*s[14])/528 + (5*s[15])/2 + 
       (236*s[16])/33 + (235*s[17])/352 + (4823*s[18])/432 - 
       (4835*s[19])/432 + (4567*s[20])/297 + (60763*s[21])/4752 - 
       (8947*s[22])/2376 - (48347*s[23])/1056 + (101609*s[24])/9504 + 
       (337367*s[25])/85536 - (789419*s[26])/85536 - s[37]/2 + (31*s[39])/8 - 
       (31*s[40])/8 + (21*s[41])/4 - (31*s[42])/4 + (91*s[43])/88 - 
       (157*s[44])/176 + (67*s[45])/88 + (197*s[46])/44 - (2711*s[47])/528 + 
       (5143*s[48])/528 - (3043*s[49])/528 - (24*s[50])/11 - 
       (2605*s[51])/528 - (3841*s[52])/528 - (161*s[53])/132 - 
       (126*s[54])/11 - (11575*s[55])/528 + (2131*s[56])/176 - 
       (8417*s[57])/66 + (7789*s[58])/176 - (15965*s[59])/528 + 
       (190897*s[60])/3168 + (95251*s[61])/14256 + 6*s[82]) + 
     HPL[{1}, 1 - u]^2*M1[w, v, u]*((-5*s[4])/12 - (181*s[5])/44 - 
       (189*s[6])/44 - (10513*s[7])/198 + (5375*s[8])/1188 + (1204*s[9])/27 + 
       (1997*s[10])/108 + (9335*s[11])/198 + (31549*s[12])/792 + 
       (16789*s[13])/792 + (14309*s[14])/792 + (3769*s[15])/36 + 
       (77845*s[16])/792 + (4819*s[17])/44 + (338*s[18])/81 + 
       (2063*s[19])/162 + (411019*s[20])/3564 + (334991*s[21])/7128 - 
       (179929*s[22])/7128 - (15979*s[23])/396 - (220301*s[24])/3564 + 
       (3587585*s[25])/64152 - (2562467*s[26])/64152 - s[37]/2 + 
       (17*s[39])/12 - (17*s[40])/12 - s[41]/12 - (31*s[42])/6 - 
       (1003*s[43])/132 + (13*s[44])/22 - (1273*s[45])/132 + (610*s[46])/11 + 
       (379*s[47])/99 - (2873*s[48])/396 + (2108*s[49])/99 - 
       (1453*s[50])/33 + (617*s[51])/132 + (569*s[52])/396 + 
       (18559*s[53])/396 - (65*s[54])/11 + (29626*s[55])/99 + 
       (9241*s[56])/132 + (17647*s[57])/132 + (22499*s[58])/594 - 
       (91615*s[59])/1188 - (143953*s[60])/297 + (639337*s[61])/21384 + 
       6*s[82]) + HPL[{1}, 1 - w]^3*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-101*s[4])/8 - (377*s[5])/44 - (5091*s[6])/88 - (26823*s[7])/176 - 
       (865*s[8])/198 + (8089*s[9])/72 + (1793*s[10])/72 + 
       (48685*s[11])/264 + (50081*s[12])/264 + (6371*s[13])/33 + 
       (27361*s[14])/264 + (3141*s[15])/16 + (135407*s[16])/528 + 
       (30485*s[17])/132 - (6343*s[18])/216 + (14449*s[19])/216 + 
       (299159*s[20])/1188 + (185917*s[21])/2376 - (44021*s[22])/594 + 
       (93611*s[23])/528 - (1344883*s[24])/4752 + (665189*s[25])/2673 - 
       (2513521*s[26])/21384 - 4*s[37] - 16*s[38] + (77*s[39])/8 - 
       (77*s[40])/8 + (101*s[41])/8 - (3*s[42])/8 - (3963*s[43])/88 + 
       (2493*s[44])/88 - (2355*s[45])/88 + (8009*s[46])/44 + 
       (5189*s[47])/264 - (5641*s[48])/66 + (4430*s[49])/33 - 
       (1230*s[50])/11 - (1555*s[51])/88 - (569*s[52])/66 + 
       (18527*s[53])/264 - (688*s[54])/11 + (158759*s[55])/264 + 
       (2370*s[56])/11 + (20957*s[57])/66 + (66479*s[58])/396 - 
       (16502*s[59])/99 - (3068215*s[60])/1584 + (154711*s[61])/2376 + 
       6*s[82]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]^2*
      ((15*s[2])/2 + 90*s[3] + 265*s[4] + (13729*s[5])/88 + (37825*s[6])/88 + 
       (2032687*s[7])/528 - (27724*s[8])/99 - (227491*s[9])/72 - 
       (78887*s[10])/72 - (2267459*s[11])/528 - (1233899*s[12])/264 - 
       (1497835*s[13])/528 - (205133*s[14])/528 - (84525*s[15])/16 - 
       (1753463*s[16])/264 - (922401*s[17])/176 - (16573*s[18])/27 - 
       (23246*s[19])/27 - (17988169*s[20])/2376 - (12669395*s[21])/4752 + 
       (9343681*s[22])/4752 + (1080331*s[23])/264 + (1362643*s[24])/297 - 
       (236933711*s[25])/42768 + (126181403*s[26])/42768 + (3*s[32])/4 + 
       (43*s[37])/4 + 161*s[38] - 459*s[39] + 479*s[40] - (1413*s[41])/4 + 
       587*s[42] + (4822*s[43])/11 - (4545*s[44])/11 + (4856*s[45])/11 - 
       (73929*s[46])/22 + (2419*s[47])/22 + (1534*s[48])/11 - 
       (87477*s[49])/44 + (112067*s[50])/44 + (25739*s[51])/66 + 
       (14825*s[52])/44 - (114089*s[53])/66 - (3451*s[54])/44 - 
       (1464977*s[55])/132 - (351089*s[56])/132 + (2152543*s[57])/792 - 
       (6121021*s[58])/1188 + (3167039*s[59])/594 + (7519423*s[60])/264 - 
       (28607591*s[61])/21384 - 2*s[68] - 2*s[69] + 4*s[73] - 2*s[77] + 
       6*s[82]) + HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      (-232*s[4] - (1986*s[5])/11 - (12821*s[6])/88 - (533387*s[7])/132 + 
       (221239*s[8])/792 + (255875*s[9])/72 + (47639*s[10])/36 + 
       (2308345*s[11])/528 + (2399783*s[12])/528 + (349985*s[13])/132 + 
       (45259*s[14])/132 + 6269*s[15] + (1917607*s[16])/264 + 
       (1071791*s[17])/176 + (72451*s[18])/216 + (258959*s[19])/216 + 
       (9925357*s[20])/1188 + (3216589*s[21])/1188 - (5253073*s[22])/2376 - 
       (1718335*s[23])/528 - (25018991*s[24])/4752 + (243496177*s[25])/
        42768 - (122690761*s[26])/42768 - (27*s[33])/2 + 18*s[34] + 3*s[36] + 
       4*s[37] - 129*s[38] + (653*s[39])/2 - (683*s[40])/2 + (1129*s[41])/4 - 
       (1747*s[42])/4 - (7647*s[43])/22 + (26283*s[44])/88 - 
       (20575*s[45])/44 + (128215*s[46])/44 - (8205*s[47])/88 - 
       (4949*s[48])/88 + (152589*s[49])/88 - (28118*s[50])/11 - 
       (36439*s[51])/88 - (10157*s[52])/88 + (62272*s[53])/33 + 
       (16259*s[54])/22 + (3123641*s[55])/264 + (529387*s[56])/264 + 
       (31369*s[57])/99 + (8390951*s[58])/2376 - (10332791*s[59])/2376 - 
       (4819593*s[60])/176 + (10817209*s[61])/10692 + 9*s[71] - 24*s[79] - 
       46*s[80] + 6*s[82]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]^2*
      ((-21*s[2])/4 - (115*s[3])/4 + (459*s[4])/2 + (344*s[5])/11 + 
       (2254*s[6])/11 + (468895*s[7])/176 - (593917*s[8])/2376 - 
       (483659*s[9])/216 - (36745*s[10])/54 - (2387681*s[11])/792 - 
       (2735335*s[12])/792 - (434405*s[13])/198 + (22681*s[14])/198 - 
       (485483*s[15])/144 - (6905731*s[16])/1584 - (292018*s[17])/99 - 
       (39931*s[18])/162 - (398261*s[19])/648 - (34362125*s[20])/7128 - 
       (10801379*s[21])/7128 + (5146139*s[22])/3564 + (4792721*s[23])/1584 + 
       (46146827*s[24])/14256 - (525605131*s[25])/128304 + 
       (250987141*s[26])/128304 - (3*s[30])/2 - 3*s[31] - (7*s[32])/4 - 
       (15*s[33])/8 + 6*s[34] - (9*s[35])/2 - s[36] + (113*s[37])/6 + 
       (519*s[38])/4 - (1729*s[39])/4 + (2105*s[40])/4 - (3409*s[41])/8 + 
       (4765*s[42])/8 + (1953*s[43])/4 - (7627*s[44])/16 + (1277*s[45])/3 - 
       (10499*s[46])/3 + (631*s[47])/48 + (10903*s[48])/48 - 
       (101893*s[49])/48 + (22969*s[50])/8 + (6503*s[51])/16 + 
       (14987*s[52])/48 - (134645*s[53])/72 - (3073*s[54])/24 - 
       (584791*s[55])/48 - (399881*s[56])/144 + (396013*s[57])/216 - 
       (6480421*s[58])/1296 + (6902215*s[59])/1296 + (9059831*s[60])/288 - 
       (3687571*s[61])/2916 + (3*s[65])/4 + 2*s[66] - 3*s[67] - 8*s[68] - 
       3*s[69] - 6*s[70] - (3*s[71])/4 - 3*s[72] - s[73] + (9*s[74])/4 - 
       (9*s[75])/4 + s[76] - s[77]/2 - 9*s[78] + 116*s[79] - (161*s[80])/6 + 
       6*s[82]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]^2*
      (-4*s[2] + (27*s[3])/2 + (1039*s[4])/4 + (2377*s[5])/16 + 
       (5941*s[6])/16 + (185813*s[7])/48 - (121943*s[8])/432 - 
       (1415855*s[9])/432 - (485269*s[10])/432 - (76553*s[11])/18 - 
       (664001*s[12])/144 - (399469*s[13])/144 - (72409*s[14])/144 - 
       (193813*s[15])/36 - (480677*s[16])/72 - (753247*s[17])/144 - 
       (735847*s[18])/1296 - (512341*s[19])/648 - (634144*s[20])/81 - 
       (223813*s[21])/81 + (2659253*s[22])/1296 + (68653*s[23])/18 + 
       (1484021*s[24])/324 - (126770165*s[25])/23328 + 
       (68748857*s[26])/23328 - s[27]/4 - 4*s[31] + s[33] + 6*s[34] - 
       (11*s[35])/2 - (169*s[36])/12 + (115*s[37])/8 + (309*s[38])/2 - 
       (8447*s[39])/16 + (28993*s[40])/48 - (7611*s[41])/16 + 
       (34997*s[42])/48 + (278963*s[43])/528 - (573565*s[44])/1056 + 
       (84869*s[45])/176 - (1061479*s[46])/264 + (244283*s[47])/3168 + 
       (598241*s[48])/3168 - (7669361*s[49])/3168 + (106292*s[50])/33 + 
       (1499665*s[51])/3168 + (1193575*s[52])/3168 - (1690091*s[53])/792 - 
       (26795*s[54])/132 - (14482843*s[55])/1056 - (10185503*s[56])/3168 + 
       (6975803*s[57])/2376 - (172041139*s[58])/28512 + 
       (180842131*s[59])/28512 + (666789665*s[60])/19008 - 
       (12270737*s[61])/8019 + s[62]/4 - 6*s[68] + 2*s[69] + 4*s[76] - 
       6*s[77] - 2*s[78] + 74*s[79] - (63*s[80])/4 + 6*s[82]) + 
     B11[w, u, v]*HPL[{1}, 1 - u]*((39*s[4])/2 + (101*s[5])/11 + 
       (523*s[6])/22 + (106477*s[7])/396 - (14101*s[8])/594 - 
       (6052*s[9])/27 - (1823*s[10])/27 - (119269*s[11])/396 - 
       (66799*s[12])/198 - (27503*s[13])/132 - (3811*s[14])/396 - 
       (1395*s[15])/4 - (4915*s[16])/11 - (128303*s[17])/396 - 
       (3089*s[18])/81 - (8405*s[19])/162 - (910823*s[20])/1782 - 
       (615133*s[21])/3564 + (508481*s[22])/3564 + (21347*s[23])/66 + 
       (541927*s[24])/1782 - (6349823*s[25])/16038 + (3217355*s[26])/16038 + 
       (2*s[36])/3 + (7*s[37])/3 + 12*s[38] - (85*s[39])/2 + (287*s[40])/6 - 
       (75*s[41])/2 + (361*s[42])/6 + (2503*s[43])/66 - (5495*s[44])/132 + 
       (2345*s[45])/66 - (3341*s[46])/11 + (5941*s[47])/396 + 
       (1651*s[48])/396 - (68467*s[49])/396 + (7838*s[50])/33 + 
       (16823*s[51])/396 + (12041*s[52])/396 - (5204*s[53])/33 + 
       (16*s[54])/11 - (132937*s[55])/132 - (97973*s[56])/396 + 
       (92288*s[57])/297 - (1716529*s[58])/3564 + (1751557*s[59])/3564 + 
       (6066583*s[60])/2376 - (1897505*s[61])/16038 + 8*s[79] - (4*s[80])/3 + 
       6*s[82]) + B5[w, v, u]*HPL[{1}, 1 - u]*((13*s[4])/2 + (91*s[5])/22 + 
       (241*s[6])/22 + (13015*s[7])/132 - (4325*s[8])/594 - (2258*s[9])/27 - 
       (1397*s[10])/54 - (11024*s[11])/99 - (48559*s[12])/396 - 
       (30683*s[13])/396 - (4511*s[14])/396 - (4837*s[15])/36 - 
       (16712*s[16])/99 - (25477*s[17])/198 - (1054*s[18])/81 - 
       (1649*s[19])/81 - (174041*s[20])/891 - (251621*s[21])/3564 + 
       (187747*s[22])/3564 + (38515*s[23])/396 + (423067*s[24])/3564 - 
       (1149548*s[25])/8019 + (1247833*s[26])/16038 + s[35] - s[36]/3 + 
       s[37] + 5*s[38] - (31*s[39])/2 + (107*s[40])/6 - (27*s[41])/2 + 
       (127*s[42])/6 + (967*s[43])/66 - (2309*s[44])/132 + (281*s[45])/22 - 
       (3692*s[46])/33 + (1681*s[47])/396 + (2143*s[48])/396 - 
       (28099*s[49])/396 + (2903*s[50])/33 + (5327*s[51])/396 + 
       (3935*s[52])/396 - (5791*s[53])/99 - (206*s[54])/33 - 
       (16671*s[55])/44 - (34405*s[56])/396 + (30925*s[57])/297 - 
       (615173*s[58])/3564 + (648473*s[59])/3564 + (2304763*s[60])/2376 - 
       (646603*s[61])/16038 + 4*s[79] - s[80] + 6*s[82]) + 
     B11[w, u, v]*HPL[{1}, 1 - v]*(8*s[3] + (39*s[4])/2 + (167*s[5])/11 + 
       (699*s[6])/22 + (109117*s[7])/396 - (13265*s[8])/594 - 
       (6104*s[9])/27 - (1879*s[10])/27 - (120611*s[11])/396 - 
       (66029*s[12])/198 - (78835*s[13])/396 - (10169*s[14])/396 - 
       (13679*s[15])/36 - (93629*s[16])/198 - (48935*s[17])/132 - 
       (4189*s[18])/81 - (7837*s[19])/162 - (966835*s[20])/1782 - 
       (710459*s[21])/3564 + (494995*s[22])/3564 + (36074*s[23])/99 + 
       (276172*s[24])/891 - (6296077*s[25])/16038 + (3441997*s[26])/16038 + 
       (2*s[36])/3 + (5*s[37])/3 + 12*s[38] - (81*s[39])/2 + (263*s[40])/6 - 
       (61*s[41])/2 + (331*s[42])/6 + (2437*s[43])/66 - (4835*s[44])/132 + 
       (2917*s[45])/66 - (10243*s[46])/33 + (5413*s[47])/396 + 
       (1519*s[48])/396 - (65959*s[49])/396 + (7574*s[50])/33 + 
       (13127*s[51])/396 + (12173*s[52])/396 - (16481*s[53])/99 + 
       (224*s[54])/33 - (46659*s[55])/44 - (35459*s[56])/132 + 
       (8537*s[57])/33 - (572015*s[58])/1188 + (595175*s[59])/1188 + 
       (6057079*s[60])/2376 - (357433*s[61])/2673 - (2*s[80])/3 + 6*s[82]) + 
     B11[v, w, u]*HPL[{1}, 1 - v]*(11*s[4] + (411*s[5])/22 + (655*s[6])/22 + 
       (9281*s[7])/33 - (12913*s[8])/594 - (13013*s[9])/54 - 
       (3997*s[10])/54 - (30667*s[11])/99 - (33350*s[12])/99 - 
       (19816*s[13])/99 - (4723*s[14])/99 - (6775*s[15])/18 - 
       (46930*s[16])/99 - (73529*s[17])/198 - (8497*s[18])/162 - 
       (3529*s[19])/81 - (509845*s[20])/891 - (391997*s[21])/1782 + 
       (131501*s[22])/891 + (58519*s[23])/198 + (565885*s[24])/1782 - 
       (12379645*s[25])/32076 + (7182721*s[26])/32076 + 2*s[34] + 
       (2*s[36])/3 + (5*s[37])/3 + 12*s[38] - (81*s[39])/2 + (263*s[40])/6 - 
       (61*s[41])/2 + (331*s[42])/6 + (2437*s[43])/66 - (4835*s[44])/132 + 
       (2917*s[45])/66 - (10243*s[46])/33 + (5413*s[47])/396 + 
       (1519*s[48])/396 - (65959*s[49])/396 + (7574*s[50])/33 + 
       (13127*s[51])/396 + (12173*s[52])/396 - (16481*s[53])/99 + 
       (224*s[54])/33 - (46659*s[55])/44 - (35459*s[56])/132 + 
       (8537*s[57])/33 - (572015*s[58])/1188 + (595175*s[59])/1188 + 
       (6057079*s[60])/2376 - (357433*s[61])/2673 - (2*s[80])/3 + 6*s[82]) + 
     B5[u, v, w]*HPL[{1}, 1 - u]*((7*s[4])/2 + (84*s[5])/11 + (115*s[6])/11 + 
       (13961*s[7])/132 - (2663*s[8])/297 - (4859*s[9])/54 - (770*s[10])/27 - 
       (23093*s[11])/198 - (50429*s[12])/396 - (29341*s[13])/396 - 
       (7327*s[14])/396 - (5189*s[15])/36 - (17977*s[16])/99 - 
       (14152*s[17])/99 - (3313*s[18])/162 - (1342*s[19])/81 - 
       (389915*s[20])/1782 - (308821*s[21])/3564 + (197603*s[22])/3564 + 
       (44543*s[23])/396 + (430283*s[24])/3564 - (4601107*s[25])/32076 + 
       (2747863*s[26])/32076 + s[34] + s[35] - s[36]/3 + (2*s[37])/3 + 
       4*s[38] - (29*s[39])/2 + (95*s[40])/6 - (21*s[41])/2 + (121*s[42])/6 + 
       (769*s[43])/66 - (1913*s[44])/132 + (1129*s[45])/66 - 
       (3835*s[46])/33 + (2011*s[47])/396 + (493*s[48])/396 - 
       (24073*s[49])/396 + (2903*s[50])/33 + (4073*s[51])/396 + 
       (4199*s[52])/396 - (5978*s[53])/99 - (118*s[54])/33 - 
       (52543*s[55])/132 - (13397*s[56])/132 + (3452*s[57])/33 - 
       (220817*s[58])/1188 + (223997*s[59])/1188 + (2276449*s[60])/2376 - 
       (295277*s[61])/5346 - (2*s[80])/3 + 6*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]^2*((21*s[2])/4 + (459*s[3])/4 + 
       417*s[4] + (577*s[5])/2 + (1411*s[6])/2 + (95871*s[7])/16 - 
       (34147*s[8])/72 - (355807*s[9])/72 - (27011*s[10])/18 - 
       (160793*s[11])/24 - (177145*s[12])/24 - (54361*s[13])/12 - 
       (5515*s[14])/12 - (382915*s[15])/48 - (486181*s[16])/48 - 
       (92473*s[17])/12 - (57467*s[18])/54 - (227293*s[19])/216 - 
       (2502815*s[20])/216 - (909215*s[21])/216 + (83234*s[22])/27 + 
       (351287*s[23])/48 + (2897765*s[24])/432 - (33749473*s[25])/3888 + 
       (18203287*s[26])/3888 + (3*s[30])/2 + 3*s[31] - s[32]/4 + 
       (27*s[33])/8 - 6*s[34] - (15*s[35])/2 - 21*s[36] + 34*s[37] + 
       (1097*s[38])/4 - (1819*s[39])/2 + (1897*s[40])/2 - (5501*s[41])/8 + 
       (9913*s[42])/8 + (1555*s[43])/2 - (12007*s[44])/16 + (3333*s[45])/4 - 
       6319*s[46] + (18031*s[47])/48 - (869*s[48])/48 - (167581*s[49])/48 + 
       (37095*s[50])/8 + (13087*s[51])/16 + (35579*s[52])/48 - 
       (25875*s[53])/8 + (795*s[54])/8 - (980131*s[55])/48 - 
       (254987*s[56])/48 + (513949*s[57])/72 - (4435015*s[58])/432 + 
       (4493209*s[59])/432 + (14712067*s[60])/288 - (1281449*s[61])/486 - 
       s[64] - (3*s[65])/4 - s[66] + 3*s[67] + 8*s[68] + s[69] + 2*s[70] + 
       (3*s[71])/4 + 3*s[72] - 3*s[73] - (9*s[74])/4 + (9*s[75])/4 - 
       8*s[76] - (3*s[77])/2 + 9*s[78] - 34*s[79] + (53*s[80])/2 + 6*s[82]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - v]*(28*s[3] + 195*s[4] + 
       (805*s[5])/11 + (9785*s[6])/22 + (40357*s[7])/22 - (4589*s[8])/22 - 
       (2985*s[9])/2 - (411*s[10])/2 - (94305*s[11])/44 - (27325*s[12])/11 - 
       (68707*s[13])/44 - (4909*s[14])/44 - (3965*s[15])/2 - 
       (130221*s[16])/44 - (82517*s[17])/44 - (3647*s[18])/6 + 
       (532*s[19])/3 - (221989*s[20])/66 - (194839*s[21])/132 + 
       (126235*s[22])/132 + (171051*s[23])/44 + (194773*s[24])/132 - 
       (803873*s[25])/297 + (970699*s[26])/594 + 12*s[32] - 4*s[37] + 
       45*s[38] - 372*s[39] + 388*s[40] - (787*s[41])/2 + (1237*s[42])/2 + 
       (4677*s[43])/22 - (4291*s[44])/22 + (1929*s[45])/11 - 
       (23273*s[46])/11 + (5629*s[47])/22 - (2262*s[48])/11 - 
       (8900*s[49])/11 + (14159*s[50])/11 + (23581*s[51])/66 + 
       (8537*s[52])/22 - (20325*s[53])/22 + (6814*s[54])/11 - 
       (359129*s[55])/66 - (26384*s[56])/11 + (222157*s[57])/33 - 
       (471464*s[58])/99 + (853981*s[59])/198 + (580739*s[60])/44 - 
       (959471*s[61])/891 + 9*s[82]) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1}, 1 - u]*(219*s[4] - (1021*s[5])/11 + 
       (1983*s[6])/11 + (12879*s[7])/22 - (16597*s[8])/99 - (3299*s[9])/9 + 
       (1742*s[10])/9 - (28277*s[11])/33 - (42991*s[12])/33 - 
       (31865*s[13])/33 + (20554*s[14])/33 - (173*s[15])/6 - 
       (40963*s[16])/66 + (12772*s[17])/33 - (3127*s[18])/27 + 
       (1954*s[19])/27 - (71447*s[20])/297 + (27487*s[21])/297 + 
       (88270*s[22])/297 + (164237*s[23])/66 + (223469*s[24])/594 - 
       (7717639*s[25])/5346 + (2563267*s[26])/5346 - (52*s[36])/3 - 
       (194*s[37])/3 + 24*s[38] - 240*s[39] + (772*s[40])/3 - 264*s[41] + 
       (1121*s[42])/3 + (5030*s[43])/33 - (3923*s[44])/33 - (560*s[45])/33 - 
       (9446*s[46])/11 + (15106*s[47])/99 - (5222*s[48])/99 - 
       (44449*s[49])/99 + (12986*s[50])/33 + (24707*s[51])/99 + 
       (28247*s[52])/99 - (5677*s[53])/33 + (6726*s[54])/11 - 
       (21544*s[55])/33 - (106325*s[56])/99 + (1495250*s[57])/297 - 
       (2255377*s[58])/891 + (1773490*s[59])/891 + (2654065*s[60])/594 - 
       (3287842*s[61])/8019 + 32*s[79] - (28*s[80])/3 + 9*s[82]) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((-75*s[4])/4 + (3*s[5])/11 - (773*s[6])/33 - (92563*s[7])/792 + 
       (6422*s[8])/297 + (10117*s[9])/108 + (101*s[10])/27 + 
       (54313*s[11])/396 + (133399*s[12])/792 + (85135*s[13])/792 - 
       (24655*s[14])/792 + (8225*s[15])/72 + (70871*s[16])/396 + 
       (6031*s[17])/66 + (12755*s[18])/324 - (1205*s[19])/81 + 
       (622663*s[20])/3564 + (515531*s[21])/7128 - (427717*s[22])/7128 - 
       (248771*s[23])/792 - (565999*s[24])/7128 + (11933231*s[25])/64152 - 
       (6462347*s[26])/64152 - (5*s[38])/3 + (331*s[39])/12 - 
       (331*s[40])/12 + (385*s[41])/12 - (185*s[42])/4 - (467*s[43])/44 + 
       (3095*s[44])/264 - (1193*s[45])/132 + (9223*s[46])/66 - 
       (20281*s[47])/792 + (25061*s[48])/792 + (31759*s[49])/792 - 
       (3016*s[50])/33 - (2239*s[51])/88 - (24905*s[52])/792 + 
       (13103*s[53])/198 - (1688*s[54])/33 + (294331*s[55])/792 + 
       (43663*s[56])/264 - (106955*s[57])/198 + (273841*s[58])/792 - 
       (247865*s[59])/792 - (3631027*s[60])/4752 + (207643*s[61])/2673 + 
       10*s[82]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((-265*s[4])/12 - (45*s[5])/11 - (7219*s[6])/264 - (52843*s[7])/264 + 
       (67813*s[8])/2376 + (33839*s[9])/216 + (4091*s[10])/108 + 
       (327847*s[11])/1584 + (350279*s[12])/1584 + (110603*s[13])/792 - 
       (2371*s[14])/792 + (21661*s[15])/72 + (272849*s[16])/792 + 
       (460975*s[17])/1584 + (13627*s[18])/648 + (22637*s[19])/648 + 
       (627347*s[20])/1782 + (894467*s[21])/7128 - (346943*s[22])/3564 - 
       (472259*s[23])/1584 - (3077507*s[24])/14256 + 
       (36275113*s[25])/128304 - (19617337*s[26])/128304 + (29*s[37])/9 + 
       (62*s[39])/3 - (62*s[40])/3 + (253*s[41])/12 - (155*s[42])/4 - 
       (920*s[43])/33 + (4417*s[44])/264 - (952*s[45])/33 + (7646*s[46])/33 - 
       (1541*s[47])/792 - (1937*s[48])/792 + (72053*s[49])/792 - 
       (5536*s[50])/33 - (2831*s[51])/792 - (9973*s[52])/792 + 
       (60935*s[53])/396 - (448*s[54])/11 + (769423*s[55])/792 + 
       (24037*s[56])/88 + (2461*s[57])/198 + (735761*s[58])/2376 - 
       (901151*s[59])/2376 - (8556389*s[60])/4752 + (94795*s[61])/792 + 
       10*s[82]) + HPL[{1}, 1 - w]^2*Qep[w, v, u]*
      ((56*s[4])/9 + (7360*s[5])/99 + (5704*s[6])/33 + (66896*s[7])/99 + 
       (29932*s[8])/891 - (44236*s[9])/81 - (17108*s[10])/81 - 
       (212650*s[11])/297 - (185456*s[12])/297 - (178342*s[13])/297 - 
       (179374*s[14])/297 - (10240*s[15])/9 - (365758*s[16])/297 - 
       (398722*s[17])/297 + (18748*s[18])/243 - (71584*s[19])/243 - 
       (3886444*s[20])/2673 - (1378906*s[21])/2673 + (888638*s[22])/2673 - 
       (307330*s[23])/297 + (3290354*s[24])/2673 - (20558380*s[25])/24057 + 
       (11744104*s[26])/24057 + (256*s[37])/9 + (512*s[38])/9 + 
       (40*s[39])/9 - (40*s[40])/9 - (56*s[41])/9 - (184*s[42])/3 + 
       (4952*s[43])/33 - (906*s[44])/11 + (4760*s[45])/33 - 
       (70624*s[46])/99 - (26306*s[47])/297 + (89854*s[48])/297 - 
       (137254*s[49])/297 + (6176*s[50])/11 + (1330*s[51])/33 - 
       (5326*s[52])/297 - (113372*s[53])/297 + (9248*s[54])/99 - 
       (928898*s[55])/297 - (22474*s[56])/33 - (804776*s[57])/297 - 
       (231046*s[58])/891 + (352054*s[59])/891 + (7458293*s[60])/891 - 
       (24040*s[61])/99 + (32*s[82])/3) + HPL[{1}, 1 - w]^2*Qep[u, v, w]*
      ((-208*s[4])/9 + (5968*s[5])/99 + (320*s[6])/11 + (33580*s[7])/99 + 
       (17716*s[8])/891 - (25180*s[9])/81 - (13268*s[10])/81 - 
       (86206*s[11])/297 - (51368*s[12])/297 - (31498*s[13])/297 - 
       (113194*s[14])/297 - (6932*s[15])/9 - (202030*s[16])/297 - 
       (262798*s[17])/297 - (4772*s[18])/243 - (29416*s[19])/243 - 
       (2589604*s[20])/2673 - (1064542*s[21])/2673 + (455858*s[22])/2673 - 
       (156778*s[23])/297 + (1512506*s[24])/2673 - (6134500*s[25])/24057 + 
       (5829328*s[26])/24057 + (128*s[38])/9 + (304*s[39])/9 - 
       (304*s[40])/9 + (208*s[41])/9 - 64*s[42] + (400*s[43])/11 + 
       (130*s[44])/11 + (2864*s[45])/33 - (29680*s[46])/99 - 
       (7334*s[47])/297 + (25666*s[48])/297 - (32602*s[49])/297 + 
       (10496*s[50])/33 - (766*s[51])/99 - (11122*s[52])/297 - 
       (73340*s[53])/297 - (1888*s[54])/99 - (576374*s[55])/297 - 
       (2994*s[56])/11 - (629912*s[57])/297 + (131702*s[58])/891 + 
       (25162*s[59])/891 + (3402551*s[60])/891 - (352480*s[61])/2673 + 
       (32*s[82])/3) + HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 1}, 1 - u]*
      ((-23*s[4])/4 - (1193*s[5])/66 - (3071*s[6])/66 - (69263*s[7])/396 - 
       (6379*s[8])/1188 + (15175*s[9])/108 + (1208*s[10])/27 + 
       (145589*s[11])/792 + (65663*s[12])/396 + (125083*s[13])/792 + 
       (119609*s[14])/792 + (9455*s[15])/36 + (239575*s[16])/792 + 
       (28253*s[17])/88 - (805*s[18])/81 + (19579*s[19])/324 + 
       (1301893*s[20])/3564 + (914087*s[21])/7128 - (606457*s[22])/7128 + 
       (169981*s[23])/792 - (2075731*s[24])/7128 + (3561659*s[25])/16038 - 
       (4036903*s[26])/32076 - (17*s[37])/2 - (38*s[38])/3 - (19*s[39])/12 + 
       (17*s[40])/12 + (23*s[41])/4 + (145*s[42])/12 - (4933*s[43])/132 + 
       (4559*s[44])/264 - (4585*s[45])/132 + (6049*s[46])/33 + 
       (17117*s[47])/792 - (53371*s[48])/792 + (78295*s[49])/792 - 
       (2935*s[50])/22 - (10523*s[51])/792 + (1063*s[52])/792 + 
       (40309*s[53])/396 - (3703*s[54])/66 + (627731*s[55])/792 + 
       (49813*s[56])/264 + (60188*s[57])/99 + (24961*s[58])/264 - 
       (94465*s[59])/792 - (9527149*s[60])/4752 + (1479449*s[61])/21384 + 
       11*s[82]) + HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - w]*
      (229*s[4] + (1872*s[5])/11 + (3314*s[6])/11 + (33681*s[7])/11 - 
       (31832*s[8])/99 - (22549*s[9])/9 - (7394*s[10])/9 - (99073*s[11])/33 - 
       (197137*s[12])/66 - (100745*s[13])/66 - (30491*s[14])/66 - 
       4915*s[15] - (351581*s[16])/66 - (159796*s[17])/33 - 
       (16277*s[18])/27 - (12088*s[19])/27 - (1862599*s[20])/297 - 
       (1385597*s[21])/594 + (895027*s[22])/594 + (125915*s[23])/33 + 
       (947597*s[24])/297 - (20234759*s[25])/5346 + (12077915*s[26])/5346 - 
       16*s[37] - 19*s[38] - 199*s[39] + 198*s[40] - 229*s[41] + 361*s[42] + 
       (1882*s[43])/11 - (2047*s[44])/22 + (6263*s[45])/11 - 
       (36814*s[46])/11 + (4985*s[47])/66 - (17851*s[48])/66 - 
       (41795*s[49])/66 + (29130*s[50])/11 + (13285*s[51])/66 + 
       (13621*s[52])/66 - (73481*s[53])/33 + (7914*s[54])/11 - 
       (321413*s[55])/22 - (83799*s[56])/22 - (63029*s[57])/33 - 
       (807419*s[58])/198 + (900665*s[59])/198 + (10301831*s[60])/396 - 
       (378745*s[61])/198 + 12*s[82]) + D27[v, w, u]*
      (8*s[4] + (148*s[5])/11 + (288*s[6])/11 + (2786*s[7])/11 - 
       (2041*s[8])/99 - (1952*s[9])/9 - (595*s[10])/9 - (18955*s[11])/66 - 
       (21377*s[12])/66 - (13069*s[13])/66 - (920*s[14])/33 - (950*s[15])/3 - 
       (27679*s[16])/66 - (9782*s[17])/33 - (1315*s[18])/27 - 
       (929*s[19])/27 - (301795*s[20])/594 - (115807*s[21])/594 + 
       (40000*s[22])/297 + (9235*s[23])/33 + (83242*s[24])/297 - 
       (1920637*s[25])/5346 + (549869*s[26])/2673 + s[35] + 2*s[37] + 
       13*s[38] - 40*s[39] + 42*s[40] - 30*s[41] + 53*s[42] + 
       (382*s[43])/11 - (833*s[44])/22 + (406*s[45])/11 - (3100*s[46])/11 + 
       (404*s[47])/33 + (338*s[48])/33 - (5447*s[49])/33 + (2304*s[50])/11 + 
       (1055*s[51])/33 + (2081*s[52])/66 - (4441*s[53])/33 - (48*s[54])/11 - 
       (29462*s[55])/33 - (2600*s[56])/11 + (11327*s[57])/33 - 
       (47189*s[58])/99 + (46943*s[59])/99 + (460805*s[60])/198 - 
       (35303*s[61])/297 + 12*s[82]) + D27[w, v, u]*
      (s[2] + 8*s[3] + 16*s[4] + (82*s[5])/11 + (288*s[6])/11 + 
       (3933*s[7])/22 - (1469*s[8])/99 - (1288*s[9])/9 - (341*s[10])/9 - 
       (13697*s[11])/66 - (7922*s[12])/33 - (5044*s[13])/33 - 
       (707*s[14])/66 - (435*s[15])/2 - (19781*s[16])/66 - (6922*s[17])/33 - 
       (953*s[18])/27 - (691*s[19])/27 - (202025*s[20])/594 - 
       (38230*s[21])/297 + (53875*s[22])/594 + (16897*s[23])/66 + 
       (114685*s[24])/594 - (1449485*s[25])/5346 + (396958*s[26])/2673 + 
       2*s[37] + 9*s[38] - 30*s[39] + 33*s[40] - 21*s[41] + 41*s[42] + 
       (272*s[43])/11 - (635*s[44])/22 + (307*s[45])/11 - (2264*s[46])/11 + 
       (349*s[47])/33 + (217*s[48])/33 - (3808*s[49])/33 + (1589*s[50])/11 + 
       (260*s[51])/11 + (1663*s[52])/66 - (3077*s[53])/33 + (40*s[54])/11 - 
       (20717*s[55])/33 - (1995*s[56])/11 + (10513*s[57])/33 - 
       (36838*s[58])/99 + (35734*s[59])/99 + (163550*s[60])/99 - 
       (18193*s[61])/198 + 12*s[82]) + D27[w, u, v]*(14*s[4] + (71*s[5])/11 + 
       (266*s[6])/11 + (13295*s[7])/66 - (5276*s[8])/297 - (4546*s[9])/27 - 
       (1286*s[10])/27 - (45821*s[11])/198 - (26252*s[12])/99 - 
       (16639*s[13])/99 - (2627*s[14])/198 - (4513*s[15])/18 - 
       (66383*s[16])/198 - (23164*s[17])/99 - (2708*s[18])/81 - 
       (2446*s[19])/81 - (689213*s[20])/1782 - (124315*s[21])/891 + 
       (191611*s[22])/1782 + (52759*s[23])/198 + (399517*s[24])/1782 - 
       (4823765*s[25])/16038 + (1291513*s[26])/8019 + 2*s[35] - (2*s[36])/3 + 
       2*s[37] + 10*s[38] - 35*s[39] + (122*s[40])/3 - 30*s[41] + 
       (151*s[42])/3 + (1003*s[43])/33 - (2411*s[44])/66 + (252*s[45])/11 - 
       (7540*s[46])/33 + (1157*s[47])/99 + (992*s[48])/99 - 
       (14240*s[49])/99 + (5647*s[50])/33 + (2923*s[51])/99 + 
       (5561*s[52])/198 - (10595*s[53])/99 - (34*s[54])/33 - 
       (7749*s[55])/11 - (18791*s[56])/99 + (103043*s[57])/297 - 
       (352816*s[58])/891 + (354859*s[59])/891 + (569014*s[60])/297 - 
       (1365107*s[61])/16038 + 8*s[79] - 2*s[80] + 12*s[82]) + 
     D27[u, w, v]*(11*s[4] + (395*s[5])/22 + (653*s[6])/22 + (9205*s[7])/33 - 
       (12961*s[8])/594 - (12875*s[9])/54 - (3919*s[10])/54 - 
       (61925*s[11])/198 - (68773*s[12])/198 - (20236*s[13])/99 - 
       (4564*s[14])/99 - (6499*s[15])/18 - (46738*s[16])/99 - 
       (34978*s[17])/99 - (9409*s[18])/162 - (2956*s[19])/81 - 
       (511900*s[20])/891 - (402443*s[21])/1782 + (131561*s[22])/891 + 
       (31940*s[23])/99 + (276302*s[24])/891 - (12372043*s[25])/32076 + 
       (7312603*s[26])/32076 + 2*s[34] + s[35] + (2*s[36])/3 + (5*s[37])/3 + 
       13*s[38] - (85*s[39])/2 + (275*s[40])/6 - (65*s[41])/2 + 
       (349*s[42])/6 + (2413*s[43])/66 - (5273*s[44])/132 + (2689*s[45])/66 - 
       (10147*s[46])/33 + (5563*s[47])/396 + (3253*s[48])/396 - 
       (69313*s[49])/396 + (7517*s[50])/33 + (13133*s[51])/396 + 
       (13751*s[52])/396 - (15017*s[53])/99 + (32*s[54])/33 - 
       (131059*s[55])/132 - (34313*s[56])/132 + (11800*s[57])/33 - 
       (608057*s[58])/1188 + (607745*s[59])/1188 + (6019105*s[60])/2376 - 
       (349000*s[61])/2673 - (2*s[80])/3 + 12*s[82]) + 
     D27[u, v, w]*(s[2] - (7*s[4])/2 - (32*s[5])/11 - (151*s[6])/22 - 
       (20687*s[7])/396 + (2305*s[8])/594 + (1204*s[9])/27 + (290*s[10])/27 + 
       (22255*s[11])/396 + (5996*s[12])/99 + (14345*s[13])/396 + 
       (1279*s[14])/396 + (2473*s[15])/36 + (15979*s[16])/198 + 
       (2593*s[17])/44 + (1094*s[18])/81 + (605*s[19])/162 + 
       (174905*s[20])/1782 + (126433*s[21])/3564 - (94289*s[22])/3564 - 
       (15659*s[23])/198 - (81823*s[24])/1782 + (578029*s[25])/8019 - 
       (330556*s[26])/8019 + (2*s[36])/3 - s[37]/3 - 3*s[38] + (19*s[39])/2 - 
       (55*s[40])/6 + (19*s[41])/2 - (71*s[42])/6 - (635*s[43])/66 + 
       (679*s[44])/132 - (461*s[45])/66 + (1913*s[46])/33 - 
       (1853*s[47])/396 + (589*s[48])/396 + (11147*s[49])/396 - 
       (1306*s[50])/33 - (5443*s[51])/396 - (3313*s[52])/396 + 
       (2875*s[53])/99 - (460*s[54])/33 + (7267*s[55])/44 + 
       (6487*s[56])/132 - (2612*s[57])/33 + (112627*s[58])/1188 - 
       (108835*s[59])/1188 - (1019147*s[60])/2376 + (60770*s[61])/2673 - 
       (2*s[80])/3 + 12*s[82]) + D27[v, u, w]*((-11*s[4])/2 - (54*s[5])/11 - 
       (217*s[6])/22 - (28607*s[7])/396 + (2635*s[8])/594 + (1786*s[9])/27 + 
       (410*s[10])/27 + (29713*s[11])/396 + (15985*s[12])/198 + 
       (17843*s[13])/396 + (6163*s[14])/396 + (3421*s[15])/36 + 
       (11240*s[16])/99 + (12047*s[17])/132 + (1673*s[18])/81 + 
       (167*s[19])/162 + (132679*s[20])/891 + (202399*s[21])/3564 - 
       (135737*s[22])/3564 - (18761*s[23])/198 - (114031*s[24])/1782 + 
       (752401*s[25])/8019 - (897293*s[26])/16038 + (2*s[36])/3 - s[37]/3 - 
       2*s[38] + (23*s[39])/2 - (79*s[40])/6 + (23*s[41])/2 - (101*s[42])/6 - 
       (635*s[43])/66 + (877*s[44])/132 - (725*s[45])/66 + (2573*s[46])/33 - 
       (1985*s[47])/396 + (2041*s[48])/396 + (11675*s[49])/396 - 
       (1867*s[50])/33 - (6763*s[51])/396 - (4567*s[52])/396 + 
       (4030*s[53])/99 - (658*s[54])/33 + (10215*s[55])/44 + 
       (10183*s[56])/132 - (1230*s[57])/11 + (156979*s[58])/1188 - 
       (145267*s[59])/1188 - (1358651*s[60])/2376 + (190279*s[61])/5346 + 
       (4*s[80])/3 + 12*s[82]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v]*(s[2] + (13*s[3])/2 + (37*s[4])/4 + 
       (83*s[5])/11 - (49*s[6])/88 + (52783*s[7])/264 - (1069*s[8])/88 - 
       (1371*s[9])/8 - (339*s[10])/4 - (34729*s[11])/176 - 
       (30617*s[12])/176 - (27287*s[13])/264 - (1327*s[14])/88 - 
       (8755*s[15])/24 - (98207*s[16])/264 - (207467*s[17])/528 + 
       (979*s[18])/72 - (7387*s[19])/72 - (78511*s[20])/198 - 
       (86333*s[21])/792 + (13219*s[22])/132 + (14435*s[23])/528 + 
       (142171*s[24])/528 - (3757483*s[25])/14256 + (1694827*s[26])/14256 - 
       s[32] - 4*s[34] - (16*s[35])/3 + s[36] + (11*s[37])/3 - (51*s[39])/4 + 
       (43*s[40])/4 - 7*s[41] + (47*s[42])/2 + (749*s[43])/44 - 
       (831*s[44])/44 + (1599*s[45])/44 - (2466*s[46])/11 - (335*s[47])/66 + 
       (1937*s[48])/132 - (14501*s[49])/132 + (2371*s[50])/11 + 
       (562*s[51])/33 - (617*s[52])/33 - (22441*s[53])/132 - (579*s[54])/11 - 
       (11897*s[55])/11 - (1514*s[56])/11 - (16486*s[57])/33 - 
       (53497*s[58])/396 + (23908*s[59])/99 + (1683457*s[60])/792 - 
       (547517*s[61])/7128 - 2*s[68] + 2*s[69] - s[74] + s[75] - 2*s[77] + 
       2*s[80] + 12*s[82]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1}, 1 - v]*((163*s[4])/6 + (6821*s[5])/66 + 
       (24049*s[6])/132 + (8315*s[7])/11 - (34241*s[8])/1188 - 
       (78523*s[9])/108 - (9595*s[10])/54 - (671333*s[11])/792 - 
       (644155*s[12])/792 - (50077*s[13])/99 - (10168*s[14])/99 - 
       (10046*s[15])/9 - (534517*s[16])/396 - (913757*s[17])/792 - 
       (114545*s[18])/324 + (46445*s[19])/324 - (2789513*s[20])/1782 - 
       (865189*s[21])/891 + (1490561*s[22])/3564 + (1474843*s[23])/792 + 
       (3231067*s[24])/7128 - (54784307*s[25])/64152 + 
       (48724283*s[26])/64152 + s[35] - s[36] + (40*s[38])/3 - 
       (638*s[39])/3 + (638*s[40])/3 - (1487*s[41])/6 + (1000*s[42])/3 - 
       (131*s[43])/11 - (3203*s[44])/44 + (565*s[45])/11 - (27623*s[46])/33 + 
       (92269*s[47])/396 - (169487*s[48])/396 - (79819*s[49])/396 + 
       (21302*s[50])/33 + (68281*s[51])/396 + (80417*s[52])/396 - 
       (81241*s[53])/198 + (566*s[54])/11 - (90945*s[55])/44 - 
       (77677*s[56])/132 + (919991*s[57])/198 - (2942185*s[58])/1188 + 
       (2700223*s[59])/1188 + (9150763*s[60])/2376 - (1472939*s[61])/3564 + 
       18*s[82]) + HPL[{1}, 1 - v]^3*HPL[{0, 1, 1, 1}, 1 - v]*
      ((25*s[4])/4 + (1281*s[5])/22 + (13293*s[6])/176 + (139967*s[7])/264 - 
       (35149*s[8])/1584 - (69977*s[9])/144 - (2945*s[10])/18 - 
       (581047*s[11])/1056 - (559547*s[12])/1056 - (154345*s[13])/528 - 
       (100805*s[14])/528 - (9515*s[15])/12 - (248771*s[16])/264 - 
       (303649*s[17])/352 - (79105*s[18])/432 + (4429*s[19])/432 - 
       (1436489*s[20])/1188 - (2776979*s[21])/4752 + (167435*s[22])/594 + 
       (753409*s[23])/1056 + (4578269*s[24])/9504 - (49946005*s[25])/85536 + 
       (39501577*s[26])/85536 + 10*s[38] - (651*s[39])/8 + (651*s[40])/8 - 
       (161*s[41])/2 + (497*s[42])/4 + (3673*s[43])/88 - (9349*s[44])/176 + 
       (5265*s[45])/88 - (24515*s[46])/44 + (24385*s[47])/528 - 
       (37325*s[48])/528 - (117067*s[49])/528 + (9333*s[50])/22 + 
       (10957*s[51])/176 + (32843*s[52])/528 - (20875*s[53])/66 + 
       (240*s[54])/11 - (333505*s[55])/176 - (85909*s[56])/176 + 
       (127231*s[57])/132 - (1601647*s[58])/1584 + (1630765*s[59])/1584 + 
       (12622741*s[60])/3168 - (1220383*s[61])/4752 + 18*s[82]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1, 1, 1}, 1 - u]*(16*s[4] - (237*s[5])/22 + 
       (885*s[6])/176 - (3583*s[7])/264 - (10927*s[8])/1584 + 
       (3577*s[9])/144 + (1969*s[10])/72 - (6385*s[11])/1056 - 
       (41447*s[12])/1056 - (10001*s[13])/264 + (16703*s[14])/264 + 
       (1099*s[15])/12 + (21317*s[16])/528 + (39617*s[17])/352 + 
       (701*s[18])/432 + (4201*s[19])/432 + (197573*s[20])/2376 + 
       (94943*s[21])/2376 - (34211*s[22])/4752 + (149839*s[23])/1056 - 
       (250489*s[24])/9504 - (2342185*s[25])/85536 - (481223*s[26])/85536 - 
       s[37] - (71*s[39])/8 + (71*s[40])/8 - 16*s[41] + (25*s[42])/4 + 
       (241*s[43])/88 - (81*s[44])/22 - (1115*s[45])/88 - (51*s[46])/44 - 
       (463*s[47])/264 - (227*s[48])/33 - (1091*s[49])/66 - (281*s[50])/22 - 
       (1325*s[51])/88 + (1951*s[52])/264 + (7019*s[53])/264 + 
       (273*s[54])/11 + (42983*s[55])/264 + (215*s[56])/88 + 
       (3305*s[57])/11 - (36419*s[58])/396 + (34729*s[59])/792 - 
       (65519*s[60])/792 + (26711*s[61])/14256 + 18*s[82]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - u]*
      ((551*s[4])/6 - (5741*s[5])/66 + (199*s[6])/44 - (15502*s[7])/33 + 
       (659*s[8])/132 + (1827*s[9])/4 + (581*s[10])/2 + (98933*s[11])/264 + 
       (58991*s[12])/264 + (2567*s[13])/66 + (30383*s[14])/66 + 1118*s[15] + 
       (124907*s[16])/132 + (109471*s[17])/88 + (2611*s[18])/36 + 
       (4493*s[19])/36 + (260563*s[20])/198 + (108433*s[21])/198 - 
       (32363*s[22])/132 + (143941*s[23])/264 - (517849*s[24])/792 + 
       (2430629*s[25])/7128 - (2317157*s[26])/7128 - (20*s[37])/3 - 
       (8*s[38])/3 - 34*s[39] + 34*s[40] - (175*s[41])/2 + (35*s[42])/3 + 
       (254*s[43])/33 - (151*s[44])/44 - (4561*s[45])/33 + (14567*s[46])/33 - 
       (1223*s[47])/44 - (1267*s[48])/44 + (2075*s[49])/132 - 
       (15596*s[50])/33 - (20015*s[51])/396 + (4435*s[52])/132 + 
       (9989*s[53])/22 + (3118*s[54])/33 + (1200131*s[55])/396 + 
       (23301*s[56])/44 + (149861*s[57])/66 - (3149*s[58])/132 - 
       (42709*s[59])/132 - (3676423*s[60])/792 + (109319*s[61])/396 + 
       18*s[82]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]^2*
      ((-19*s[2])/2 - 68*s[3] - 64*s[4] + (3951*s[5])/88 - (8841*s[6])/88 - 
       (29255*s[7])/528 + (1906*s[8])/99 - (3941*s[9])/72 - (289*s[10])/72 + 
       (53963*s[11])/528 + (36011*s[12])/264 + (24689*s[13])/176 - 
       (16147*s[14])/528 + (31*s[15])/48 + (14885*s[16])/88 + 
       (63307*s[17])/528 + (490*s[18])/27 + (647*s[19])/27 - 
       (44123*s[20])/2376 - (380989*s[21])/4752 + (83447*s[22])/4752 - 
       (35637*s[23])/88 - (37955*s[24])/594 + (9780743*s[25])/42768 - 
       (2166491*s[26])/42768 - (11*s[32])/4 - (7*s[37])/4 + 43*s[38] - 
       83*s[39] + 79*s[40] - (227*s[41])/4 + 90*s[42] + (1002*s[43])/11 - 
       (743*s[44])/11 + (1654*s[45])/11 - (19123*s[46])/22 - 
       (1087*s[47])/66 + (727*s[48])/33 - (61249*s[49])/132 + 
       (34669*s[50])/44 + (3473*s[51])/66 + (5297*s[52])/132 - 
       (37391*s[53])/66 - (4677*s[54])/44 - (498071*s[55])/132 - 
       (82231*s[56])/132 - (699367*s[57])/792 - (1053551*s[58])/1188 + 
       (684595*s[59])/594 + (6518371*s[60])/792 - (7478617*s[61])/21384 + 
       2*s[68] + 2*s[69] + 4*s[73] + 2*s[77] + 18*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]^2*(-s[2]/2 - (27*s[3])/2 - 
       (211*s[4])/4 + (17141*s[5])/176 + (4641*s[6])/176 + 
       (278785*s[7])/528 - (20633*s[8])/1584 - (76147*s[9])/144 - 
       (19361*s[10])/144 - (73825*s[11])/132 - (296207*s[12])/528 - 
       (53085*s[13])/176 - (104227*s[14])/528 - (9047*s[15])/12 - 
       (73979*s[16])/88 - (387149*s[17])/528 - (63395*s[18])/432 - 
       (7577*s[19])/216 - (723887*s[20])/594 - (678643*s[21])/1188 + 
       (1356551*s[22])/4752 + (16365*s[23])/44 + (327535*s[24])/594 - 
       (51769859*s[25])/85536 + (39412031*s[26])/85536 - (3*s[27])/4 + 
       s[31] - (21*s[33])/2 - 3*s[34] - s[35]/2 - (143*s[36])/12 + 
       (163*s[37])/24 + (99*s[38])/2 - (1393*s[39])/16 + (2831*s[40])/48 - 
       (373*s[41])/16 + (4099*s[42])/48 + (48589*s[43])/528 - 
       (40691*s[44])/1056 + (88481*s[45])/528 - (71851*s[46])/88 + 
       (128341*s[47])/3168 - (92561*s[48])/3168 - (1245487*s[49])/3168 + 
       (18901*s[50])/33 + (90095*s[51])/3168 + (211481*s[52])/3168 - 
       (127483*s[53])/264 - (3191*s[54])/44 - (3334405*s[55])/1056 - 
       (1995329*s[56])/3168 - (422023*s[57])/2376 - (30204541*s[58])/28512 + 
       (34170013*s[59])/28512 + (128223295*s[60])/19008 - 
       (2902607*s[61])/8019 + (7*s[62])/4 + 6*s[68] - 2*s[69] - s[76] + 
       6*s[77] + 2*s[78] - 54*s[79] + (313*s[80])/12 + 18*s[82]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      (-10*s[3] - (623*s[4])/12 + (956*s[5])/11 + (21107*s[6])/176 + 
       (528575*s[7])/792 + (157967*s[8])/4752 - (276629*s[9])/432 - 
       (14873*s[10])/54 - (2041627*s[11])/3168 - (1773551*s[12])/3168 - 
       (506389*s[13])/1584 - (920393*s[14])/1584 - (34511*s[15])/36 - 
       (928307*s[16])/792 - (1275917*s[17])/1056 - (359389*s[18])/1296 + 
       (80737*s[19])/1296 - (6302801*s[20])/3564 - (12784559*s[21])/14256 + 
       (635969*s[22])/1782 + (357805*s[23])/3168 + (17031545*s[24])/28512 - 
       (142079497*s[25])/256608 + (160394173*s[26])/256608 - s[32] + 
       (23*s[38])/6 - (221*s[39])/8 + (221*s[40])/8 - (76*s[41])/3 + 
       (461*s[42])/12 + (11329*s[43])/264 - (11725*s[44])/528 + 
       (9191*s[45])/88 - (82463*s[46])/132 - (71447*s[47])/1584 + 
       (66427*s[48])/1584 - (250123*s[49])/1584 + (9513*s[50])/22 - 
       (2801*s[51])/176 + (122339*s[52])/1584 - (63247*s[53])/198 + 
       (1587*s[54])/11 - (399867*s[55])/176 - (379741*s[56])/528 - 
       (14207*s[57])/396 - (4361239*s[58])/4752 + (3905653*s[59])/4752 + 
       (46977325*s[60])/9504 - (5287127*s[61])/14256 + 21*s[82]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1, 0, 1, 1}, 1 - u]*((-230*s[4])/3 - 
       (105*s[5])/2 - (703*s[6])/16 - (89855*s[7])/72 + (12085*s[8])/144 + 
       (158503*s[9])/144 + (29083*s[10])/72 + (130475*s[11])/96 + 
       (45415*s[12])/32 + (60127*s[13])/72 + (2029*s[14])/24 + 
       (34507*s[15])/18 + (322139*s[16])/144 + (533837*s[17])/288 + 
       (14033*s[18])/144 + (18055*s[19])/48 + (184555*s[20])/72 + 
       (177377*s[21])/216 - (296203*s[22])/432 - (294599*s[23])/288 - 
       (1411685*s[24])/864 + (13829291*s[25])/7776 - (6881291*s[26])/7776 - 
       (9*s[33])/2 + 6*s[34] + s[36] + (8*s[37])/3 - 43*s[38] + 
       (2539*s[39])/24 - (2659*s[40])/24 + (1121*s[41])/12 - (835*s[42])/6 - 
       (29981*s[43])/264 + (8185*s[44])/88 - (12097*s[45])/88 + 
       (57289*s[46])/66 - (5683*s[47])/198 - (17155*s[48])/792 + 
       (438115*s[49])/792 - (50207*s[50])/66 - (17065*s[51])/132 - 
       (16213*s[52])/396 + (439621*s[53])/792 + (16201*s[54])/66 + 
       (1364227*s[55])/396 + (220571*s[56])/396 - (10400*s[57])/297 + 
       (7617209*s[58])/7128 - (4691779*s[59])/3564 - (38918707*s[60])/4752 + 
       (35955919*s[61])/128304 + 3*s[71] - 8*s[79] - (46*s[80])/3 + 
       21*s[82]) + HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 1 - v]*
      ((285*s[4])/2 + (1050*s[5])/11 + (3005*s[6])/11 + (222115*s[7])/132 - 
       (36455*s[8])/198 - (25585*s[9])/18 - (3115*s[10])/9 - 
       (238385*s[11])/132 - (124865*s[12])/66 - (151945*s[13])/132 - 
       (22655*s[14])/132 - (28175*s[15])/12 - (189335*s[16])/66 - 
       (103085*s[17])/44 - (21965*s[18])/54 - (2210*s[19])/27 - 
       (1909885*s[20])/594 - (1603985*s[21])/1188 + (1026745*s[22])/1188 + 
       (84365*s[23])/33 + (957395*s[24])/594 - (24049385*s[25])/10692 + 
       (14665985*s[26])/10692 + 10*s[38] - (475*s[39])/2 + (475*s[40])/2 - 
       260*s[41] + 390*s[42] + (1350*s[43])/11 - (1445*s[44])/11 + 
       (4805*s[45])/22 - (20920*s[46])/11 + (6355*s[47])/33 - 
       (8660*s[48])/33 - (36095*s[49])/66 + (15460*s[50])/11 + 
       (2460*s[51])/11 + (7085*s[52])/33 - (36770*s[53])/33 + 
       (3945*s[54])/11 - (224800*s[55])/33 - (43315*s[56])/22 + 
       (86600*s[57])/33 - (109490*s[58])/33 + (36605*s[59])/11 + 
       (2629015*s[60])/198 - (3517925*s[61])/3564 + 30*s[82]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 1 - u]*
      (165*s[4] - (105*s[5])/11 + (1795*s[6])/11 + (120805*s[7])/132 - 
       (15230*s[8])/99 - (6175*s[9])/9 - (710*s[10])/9 - (68015*s[11])/66 - 
       (79765*s[12])/66 - (8615*s[13])/11 + (6395*s[14])/33 - 
       (4365*s[15])/4 - (65595*s[16])/44 - (62695*s[17])/66 - 
       (7705*s[18])/54 - (5465*s[19])/54 - (425650*s[20])/297 - 
       (135085*s[21])/297 + (134105*s[22])/297 + (79395*s[23])/44 + 
       (1102055*s[24])/1188 - (3942325*s[25])/2673 + (1897435*s[26])/2673 - 
       (905*s[37])/6 - (265*s[39])/2 + (265*s[40])/2 - 165*s[41] + 
       205*s[42] + (1185*s[43])/11 - (3745*s[44])/44 + (2495*s[45])/22 - 
       (12340*s[46])/11 + (2295*s[47])/44 - (4415*s[48])/44 - 
       (16565*s[49])/44 + (8365*s[50])/11 + (9995*s[51])/132 + 
       (5615*s[52])/44 - (13605*s[53])/22 + (3890*s[54])/11 - 
       (171675*s[55])/44 - (54675*s[56])/44 + (40510*s[57])/33 - 
       (735995*s[58])/396 + (734285*s[59])/396 + (709745*s[60])/88 - 
       (508355*s[61])/891 + 30*s[82]) + HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1, 1, 1}, 1 - w]*((17*s[1])/2 - 45*s[4] + (245*s[5])/11 - 
       (1530*s[6])/11 - (6475*s[7])/132 - (315*s[8])/11 - (45*s[9])/2 - 
       (165*s[10])/2 + (1905*s[11])/11 + (11335*s[12])/44 + 
       (52625*s[13])/132 + (1915*s[14])/44 - (665*s[15])/4 + (535*s[16])/66 - 
       (10975*s[17])/66 - (1045*s[18])/9 + (1415*s[19])/18 - 
       (45025*s[20])/198 - (47095*s[21])/396 - (655*s[22])/44 + 
       (46265*s[23])/132 - (11475*s[24])/44 + (1119035*s[25])/3564 - 
       (275195*s[26])/3564 + 5*s[37] - 40*s[38] + 35*s[39] - 35*s[40] + 
       45*s[41] - 20*s[42] - (1115*s[43])/11 + (3825*s[44])/44 + 
       (105*s[45])/11 + (1605*s[46])/11 + (6595*s[47])/132 - 
       (28715*s[48])/132 + (36095*s[49])/132 + (410*s[50])/11 - 
       (5465*s[51])/132 - (6745*s[52])/132 - (3560*s[53])/33 - 
       (2055*s[54])/11 - (16985*s[55])/44 + (13505*s[56])/44 - 
       (5780*s[57])/11 + (148465*s[58])/396 - (83095*s[59])/396 - 
       (1345715*s[60])/792 + (3665*s[61])/3564 + 30*s[82]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1, 1}, 1 - w]*
      (-45*s[4] + (245*s[5])/11 - (1530*s[6])/11 - (6475*s[7])/132 - 
       (2120*s[8])/99 - (275*s[9])/18 - (1615*s[10])/18 + (12145*s[11])/66 + 
       (36865*s[12])/132 + (54055*s[13])/132 + (7175*s[14])/132 - 
       (2735*s[15])/12 - (35*s[16])/33 - (1930*s[17])/11 - (3380*s[18])/27 + 
       (4345*s[19])/54 - (143765*s[20])/594 - (186715*s[21])/1188 - 
       (24835*s[22])/1188 + (52975*s[23])/132 - (334135*s[24])/1188 + 
       (3715265*s[25])/10692 - (659045*s[26])/10692 - (905*s[37])/6 - 
       40*s[38] + 35*s[39] - 35*s[40] + 45*s[41] - 20*s[42] - 
       (1115*s[43])/11 + (2395*s[44])/44 + (105*s[45])/11 + (1605*s[46])/11 + 
       (5165*s[47])/132 - (30145*s[48])/132 + (34885*s[49])/132 + 
       (410*s[50])/11 - (2225*s[51])/44 - (5315*s[52])/132 - 
       (2845*s[53])/33 - (2495*s[54])/11 - (42925*s[55])/132 + 
       (13835*s[56])/44 - (15910*s[57])/33 + (136255*s[58])/396 - 
       (72205*s[59])/396 - (1316125*s[60])/792 + (49315*s[61])/3564 + 
       30*s[82]) + HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 1}, 1 - u]*
      (-s[3] + (11*s[4])/6 + (521*s[5])/33 + (1949*s[6])/132 + 
       (87677*s[7])/792 + (797*s[8])/1188 - (11135*s[9])/108 - 
       (2591*s[10])/54 - (91687*s[11])/792 - (35587*s[12])/396 - 
       (47213*s[13])/792 - (34873*s[14])/792 - (5015*s[15])/24 - 
       (44603*s[16])/198 - (65353*s[17])/264 - (1705*s[18])/324 - 
       (3332*s[19])/81 - (898529*s[20])/3564 - (775741*s[21])/7128 + 
       (430229*s[22])/7128 + (5561*s[23])/396 + (574117*s[24])/3564 - 
       (8193673*s[25])/64152 + (5221009*s[26])/64152 - s[32]/6 + 
       (13*s[37])/6 + s[38]/2 - (119*s[39])/12 + (37*s[40])/4 - 
       (31*s[41])/6 + (32*s[42])/3 + (417*s[43])/44 - (621*s[44])/44 + 
       (2221*s[45])/132 - (4196*s[46])/33 - (205*s[47])/198 + (13*s[48])/99 - 
       (13949*s[49])/198 + (2463*s[50])/22 + (307*s[51])/396 - 
       (1985*s[52])/198 - (18649*s[53])/198 - (1185*s[54])/22 - 
       (57322*s[55])/99 - (2102*s[56])/33 - (17315*s[57])/132 - 
       (140447*s[58])/1188 + (206465*s[59])/1188 + (2781145*s[60])/2376 - 
       (882257*s[61])/21384 + 31*s[82]) + HPL[{1}, 1 - u]^3*
      HPL[{0, 0, 1, 1}, 1 - v]*((53*s[4])/12 - (16871*s[5])/264 - 
       (578*s[6])/11 - (584209*s[7])/792 + (189221*s[8])/3564 + 
       (205423*s[9])/324 + (182803*s[10])/648 + (3221947*s[11])/4752 + 
       (2722121*s[12])/4752 + (93013*s[13])/297 + (85318*s[14])/297 + 
       (79237*s[15])/54 + (834299*s[16])/594 + (7418233*s[17])/4752 + 
       (42581*s[18])/972 + (416915*s[19])/1944 + (17700739*s[20])/10692 + 
       (14082587*s[21])/21384 - (7778689*s[22])/21384 - 
       (1629305*s[23])/4752 - (40219073*s[24])/42768 + 
       (77209381*s[25])/96228 - (26615291*s[26])/48114 + s[36]/6 - 
       (139*s[37])/36 - (5*s[38])/3 + (425*s[39])/24 - (445*s[40])/24 - 
       (53*s[41])/8 - (1357*s[42])/24 - (24523*s[43])/264 + 
       (4801*s[44])/176 - (111797*s[45])/792 + (305617*s[46])/396 + 
       (72647*s[47])/1584 - (144031*s[48])/1584 + (520291*s[49])/1584 - 
       (14143*s[50])/22 + (65297*s[51])/1584 + (64459*s[52])/1584 + 
       (762119*s[53])/1188 + (1483*s[54])/99 + (6615503*s[55])/1584 + 
       (4117963*s[56])/4752 + (6924317*s[57])/3564 + (21280019*s[58])/42768 - 
       (44001275*s[59])/42768 - (22772645*s[60])/3168 + 
       (73626079*s[61])/192456 - (4*s[79])/3 + (5*s[80])/18 + 31*s[82]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - v]*
      ((61*s[4])/8 + (865*s[5])/44 + (1473*s[6])/88 + (34911*s[7])/176 - 
       (1838*s[8])/99 - (12653*s[9])/72 - (4411*s[10])/72 - 
       (50429*s[11])/264 - (23633*s[12])/132 - (20237*s[13])/264 - 
       (5363*s[14])/66 - (5077*s[15])/16 - (182989*s[16])/528 - 
       (45685*s[17])/132 - (11089*s[18])/216 - (3143*s[19])/216 - 
       (589387*s[20])/1188 - (65977*s[21])/297 + (240205*s[22])/2376 + 
       (115901*s[23])/528 + (913655*s[24])/4752 - (4502057*s[25])/21384 + 
       (1906099*s[26])/10692 - 4*s[37] - 7*s[38] - s[39]/8 + s[40]/8 - 
       (61*s[41])/8 - (93*s[42])/8 - (609*s[43])/88 - (93*s[44])/22 + 
       (6639*s[45])/88 - (15505*s[46])/44 - (347*s[47])/33 - 
       (10531*s[48])/264 - (2837*s[49])/264 + (5223*s[50])/22 - 
       (841*s[51])/22 - (809*s[52])/264 - (64489*s[53])/264 + 
       (938*s[54])/11 - (239777*s[55])/132 - (44757*s[56])/88 - 
       (27655*s[57])/66 - (330743*s[58])/792 + (405017*s[59])/792 + 
       (2188405*s[60])/792 - (19639*s[61])/88 + 33*s[82]) + 
     HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - v]*(208*s[3] + 240*s[4] + 
       (2828*s[5])/11 + (4275*s[6])/11 + (150275*s[7])/33 - (10259*s[8])/33 - 
       (11323*s[9])/3 - (4229*s[10])/3 - (103065*s[11])/22 - 
       (51959*s[12])/11 - (196403*s[13])/66 - (11911*s[14])/22 - 
       (20707*s[15])/3 - (509921*s[16])/66 - (459799*s[17])/66 - 507*s[18] - 
       (4160*s[19])/3 - (96941*s[20])/11 - (584119*s[21])/198 + 
       (450067*s[22])/198 + (184633*s[23])/66 + (1066183*s[24])/198 - 
       (5486729*s[25])/891 + (2859134*s[26])/891 + 24*s[32] + 24*s[37] + 
       91*s[38] - 428*s[39] + 460*s[40] - 323*s[41] + 613*s[42] + 
       (3163*s[43])/11 - (2445*s[44])/11 + (11420*s[45])/11 - 
       (55136*s[46])/11 + (7849*s[47])/33 - (16076*s[48])/33 - 
       (48946*s[49])/33 + (46850*s[50])/11 + (4639*s[51])/11 + 
       (13121*s[52])/33 - (105221*s[53])/33 + (1680*s[54])/11 - 
       (232321*s[55])/11 - (46676*s[56])/11 - (74915*s[57])/33 - 
       (616948*s[58])/99 + (674497*s[59])/99 + (8236825*s[60])/198 - 
       (1510801*s[61])/594 + 42*s[82]) + HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - w]*
      (73*s[4] + (3536*s[5])/11 + (299*s[6])/11 + (103772*s[7])/33 - 
       (26197*s[8])/99 - (24848*s[9])/9 - (10504*s[10])/9 - 
       (175837*s[11])/66 - (72745*s[12])/33 - (11873*s[13])/22 - 
       (74275*s[14])/66 - (17857*s[15])/3 - (125709*s[16])/22 - 
       (403673*s[17])/66 - (24961*s[18])/27 - (8522*s[19])/27 - 
       (2307893*s[20])/297 - (1862695*s[21])/594 + (919817*s[22])/594 + 
       (71075*s[23])/22 + (1774541*s[24])/594 - (7601651*s[25])/2673 + 
       (5992064*s[26])/2673 - 32*s[37] - 92*s[38] - 15*s[39] + 9*s[40] - 
       73*s[41] + 117*s[42] - (355*s[43])/11 + (1030*s[44])/11 + 
       (7875*s[45])/11 - (33702*s[46])/11 + (1000*s[47])/11 - 
       (6777*s[48])/11 + (1037*s[49])/11 + (30882*s[50])/11 + 
       (2276*s[51])/33 + (664*s[52])/11 - (27235*s[53])/11 + 
       (5408*s[54])/11 - (181582*s[55])/11 - (36557*s[56])/11 - 
       (73140*s[57])/11 - (81715*s[58])/33 + (110200*s[59])/33 + 
       (816637*s[60])/33 - (190019*s[61])/99 + 42*s[82]) + 
     HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - u]*(240*s[4] + (5270*s[5])/11 + 
       (6112*s[6])/11 + (226241*s[7])/33 - (37586*s[8])/99 - (53902*s[9])/9 - 
       (19340*s[10])/9 - (233638*s[11])/33 - (233801*s[12])/33 - 
       (132065*s[13])/33 - (56713*s[14])/33 - 10731*s[15] - 
       (394160*s[16])/33 - (118556*s[17])/11 - (29072*s[18])/27 - 
       (37696*s[19])/27 - (4402168*s[20])/297 - (1642609*s[21])/297 + 
       (1061591*s[22])/297 + (186163*s[23])/33 + (2411927*s[24])/297 - 
       (23144524*s[25])/2673 + (13856830*s[26])/2673 - 24*s[36] - 4*s[37] + 
       240*s[38] - 762*s[39] + 882*s[40] - 642*s[41] + 1084*s[42] + 
       (9510*s[43])/11 - (7065*s[44])/11 + (12014*s[45])/11 - 
       (81228*s[46])/11 + (4417*s[47])/33 + (1447*s[48])/33 - 
       (122833*s[49])/33 + (66012*s[50])/11 + (19285*s[51])/33 + 
       (20975*s[52])/33 - (150508*s[53])/33 + (800*s[54])/11 - 
       (975527*s[55])/33 - (200407*s[56])/33 - (171692*s[57])/99 - 
       (2634803*s[58])/297 + (3143357*s[59])/297 + (12754525*s[60])/198 - 
       (8164106*s[61])/2673 + 192*s[79] - 40*s[80] + 42*s[82]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1, 1}, 1 - v]*
      ((117*s[4])/2 + (482*s[5])/11 + (1471*s[6])/11 + (21475*s[7])/33 - 
       (5579*s[8])/99 - (5116*s[9])/9 - (2089*s[10])/18 - (24325*s[11])/33 - 
       (26078*s[12])/33 - (10917*s[13])/22 - (3823*s[14])/33 - 842*s[15] - 
       (12168*s[16])/11 - (27776*s[17])/33 - (11461*s[18])/54 + 
       (2035*s[19])/54 - (391345*s[20])/297 - (191167*s[21])/297 + 
       (102602*s[22])/297 + (24491*s[23])/22 + (165614*s[24])/297 - 
       (4554863*s[25])/5346 + (3246515*s[26])/5346 + 6*s[38] - 
       (229*s[39])/2 + (229*s[40])/2 - (279*s[41])/2 + (329*s[42])/2 + 
       (1021*s[43])/22 - (676*s[44])/11 + (1631*s[45])/22 - (8110*s[46])/11 + 
       (2159*s[47])/22 - (3077*s[48])/22 - (5399*s[49])/22 + 
       (5498*s[50])/11 + (732*s[51])/11 + (2353*s[52])/22 - (3945*s[53])/11 + 
       (1359*s[54])/11 - (77423*s[55])/33 - (8475*s[56])/11 + 
       (62303*s[57])/33 - (157252*s[58])/99 + (299897*s[59])/198 + 
       (643309*s[60])/132 - (1329223*s[61])/3564 + 48*s[82]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1, 1}, 1 - u]*
      ((155*s[4])/2 - (222*s[5])/11 + (679*s[6])/11 + (4414*s[7])/33 - 
       (3368*s[8])/99 - (739*s[9])/9 + (1163*s[10])/18 - (13571*s[11])/66 - 
       (9875*s[12])/33 - (2582*s[13])/11 + (8887*s[14])/66 + 44*s[15] - 
       (3425*s[16])/22 + (5531*s[17])/66 - (2575*s[18])/54 + 
       (1447*s[19])/54 - (24187*s[20])/297 - (8081*s[21])/594 + 
       (40105*s[22])/594 + (6333*s[23])/11 + (41983*s[24])/594 - 
       (872407*s[25])/2673 + (350398*s[26])/2673 - 3*s[35] + s[36] - 
       (112*s[37])/3 - 2*s[38] - (93*s[39])/2 + (93*s[40])/2 - 
       (159*s[41])/2 + (97*s[42])/2 + (493*s[43])/22 - (769*s[44])/22 + 
       (135*s[45])/22 - (2390*s[46])/11 + (282*s[47])/11 - (840*s[48])/11 - 
       (582*s[49])/11 + (922*s[50])/11 + (419*s[51])/22 + (742*s[52])/11 - 
       (282*s[53])/11 + (1755*s[54])/11 - (6365*s[55])/22 - (5213*s[56])/22 + 
       (12184*s[57])/11 - (13853*s[58])/22 + (5026*s[59])/11 + 
       (70453*s[60])/66 - (120899*s[61])/1188 + 48*s[82]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1, 1}, 1 - w]*((-115*s[4])/2 + 
       (349*s[5])/11 - (5441*s[6])/44 - (10697*s[7])/44 + (13133*s[8])/396 + 
       (4843*s[9])/36 - (376*s[10])/9 + (95267*s[11])/264 + 
       (130441*s[12])/264 + (31619*s[13])/66 - (3571*s[14])/66 + 
       (337*s[15])/4 + (20387*s[16])/66 + (1319*s[17])/264 - 
       (7003*s[18])/108 + (8701*s[19])/108 + (45095*s[20])/594 - 
       (50671*s[21])/594 - (137525*s[22])/1188 - (21151*s[23])/264 - 
       (992851*s[24])/2376 + (13096295*s[25])/21384 - (3711275*s[26])/21384 - 
       (100*s[37])/3 - 32*s[38] + (113*s[39])/2 - (113*s[40])/2 + 
       (109*s[41])/2 - 87*s[42] - (2533*s[43])/22 + (625*s[44])/11 - 
       (199*s[45])/22 + (3796*s[46])/11 + (158*s[47])/33 - (11333*s[48])/66 + 
       (20381*s[49])/66 - (1917*s[50])/11 - (3196*s[51])/33 - 
       (4003*s[52])/66 + (2471*s[53])/33 - (2015*s[54])/11 + 
       (15959*s[55])/33 + (4783*s[56])/11 - (37865*s[57])/66 + 
       (59626*s[58])/99 - (46219*s[59])/99 - (596539*s[60])/198 + 
       (444541*s[61])/3564 + 48*s[82]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1, 1, 1}, 1 - w]*(2*s[2] - 55*s[4] + (239*s[5])/11 - 
       (5353*s[6])/44 - (9839*s[7])/44 + (8227*s[8])/396 + (4253*s[9])/36 - 
       (278*s[10])/9 + (85345*s[11])/264 + (111125*s[12])/264 + 
       (55967*s[13])/132 - (9265*s[14])/132 + (1907*s[15])/12 + 
       (42479*s[16])/132 + (18589*s[17])/264 - (6143*s[18])/108 + 
       (9179*s[19])/108 + (39265*s[20])/594 - (49609*s[21])/1188 - 
       (29830*s[22])/297 - (45329*s[23])/264 - (905885*s[24])/2376 + 
       (11478613*s[25])/21384 - (3657397*s[26])/21384 - 12*s[37] - 32*s[38] + 
       (117*s[39])/2 - (117*s[40])/2 + (113*s[41])/2 - 95*s[42] - 
       (2049*s[43])/22 + (3215*s[44])/44 - (243*s[45])/22 + (3576*s[46])/11 - 
       (281*s[47])/132 - (16121*s[48])/132 + (33491*s[49])/132 - 
       (2049*s[50])/11 - (14335*s[51])/132 - (9865*s[52])/132 + 
       (5195*s[53])/66 - (1784*s[54])/11 + (64705*s[55])/132 + 
       (16921*s[56])/44 - (48623*s[57])/66 + (28027*s[58])/44 - 
       (68471*s[59])/132 - (2114357*s[60])/792 + (226643*s[61])/1782 + 
       48*s[82]) + HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1, 1}, 1 - v]*
      (-95*s[4] + (863*s[5])/22 - (1637*s[6])/22 - (58931*s[7])/132 + 
       (21037*s[8])/198 + (5087*s[9])/18 + (403*s[10])/18 + 
       (16219*s[11])/33 + (19535*s[12])/33 + (14528*s[13])/33 - 
       (5696*s[14])/33 + (6551*s[15])/12 + (91385*s[16])/132 + 
       (10009*s[17])/22 - (5369*s[18])/54 + (5962*s[19])/27 + 
       (133972*s[20])/297 - (29807*s[21])/297 - (58595*s[22])/297 - 
       (46441*s[23])/132 - (795191*s[24])/1188 + (9601489*s[25])/10692 - 
       (2454571*s[26])/10692 + 8*s[37] + (43*s[39])/2 - (43*s[40])/2 + 
       9*s[41] - 46*s[42] - (1939*s[43])/22 + (971*s[44])/44 - 
       (2091*s[45])/22 + (6469*s[46])/11 + (3349*s[47])/132 - 
       (12557*s[48])/132 + (24911*s[49])/132 - (4711*s[50])/11 - 
       (2065*s[51])/44 - (1945*s[52])/132 + (26513*s[53])/66 - 
       (2367*s[54])/11 + (113389*s[55])/44 + (32695*s[56])/44 + 
       (12303*s[57])/11 + (174055*s[58])/396 - (219097*s[59])/396 - 
       (4024661*s[60])/792 + (288524*s[61])/891 + 48*s[82]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1, 1}, 1 - u]*((-145*s[4])/2 - 
       (941*s[5])/22 - (3353*s[6])/22 - (136085*s[7])/132 + (12889*s[8])/99 + 
       (7439*s[9])/9 + (4121*s[10])/18 + (140501*s[11])/132 + 
       (72719*s[12])/66 + (31049*s[13])/44 + (14231*s[14])/132 + 
       (19375*s[15])/12 + (19577*s[16])/11 + (207487*s[17])/132 + 
       (4991*s[18])/54 + (11287*s[19])/54 + (545537*s[20])/297 + 
       (747935*s[21])/1188 - (604585*s[22])/1188 - (11274*s[23])/11 - 
       (718955*s[24])/594 + (3870239*s[25])/2673 - (2016734*s[26])/2673 + 
       8*s[35] - 8*s[36] - 4*s[37] - 12*s[38] + (199*s[39])/2 - 
       (199*s[40])/2 + 75*s[41] - 178*s[42] - (2423*s[43])/22 + 
       (823*s[44])/11 - (3807*s[45])/22 + (12761*s[46])/11 - 
       (1343*s[47])/22 + (285*s[48])/22 + (8671*s[49])/22 - (9903*s[50])/11 - 
       (3416*s[51])/33 - (1547*s[52])/22 + (8652*s[53])/11 - 
       (1740*s[54])/11 + (322571*s[55])/66 + (27881*s[56])/22 + 
       (7979*s[57])/33 + (146768*s[58])/99 - (172895*s[59])/99 - 
       (101272*s[60])/11 + (2090405*s[61])/3564 + 48*s[82]) + 
     HPL[{1}, 1 - w]^2*Qep[w, u, v]*((-224*s[4])/9 + (4112*s[5])/99 + 
       (1616*s[6])/33 + (25180*s[7])/99 + (22724*s[8])/891 - 
       (17996*s[9])/81 - (10084*s[10])/81 - (78038*s[11])/297 - 
       (56944*s[12])/297 - (59930*s[13])/297 - (94826*s[14])/297 - 
       (4532*s[15])/9 - (155150*s[16])/297 - (192710*s[17])/297 + 
       (16700*s[18])/243 - (40904*s[19])/243 - (1713380*s[20])/2673 - 
       (567422*s[21])/2673 + (355426*s[22])/2673 - (232802*s[23])/297 + 
       (1557202*s[24])/2673 - (7013036*s[25])/24057 + (3908216*s[26])/24057 + 
       (128*s[37])/9 + (256*s[38])/9 + (128*s[39])/9 - (128*s[40])/9 + 
       (224*s[41])/9 - (176*s[42])/3 + (1888*s[43])/33 - (190*s[44])/11 + 
       (2272*s[45])/33 - (24368*s[46])/99 - (14422*s[47])/297 + 
       (46034*s[48])/297 - (66602*s[49])/297 + (2784*s[50])/11 - 
       (14*s[51])/11 - (13922*s[52])/297 - (49180*s[53])/297 - 
       (9344*s[54])/99 - (406246*s[55])/297 - (5366*s[56])/33 - 
       (515032*s[57])/297 + (135766*s[58])/891 - (26662*s[59])/891 + 
       (3299887*s[60])/891 - (14072*s[61])/297 + (160*s[82])/3) + 
     D28[u, v, w]*(-3*s[2] - 12*s[4] - (175*s[5])/22 + (95*s[6])/22 - 
       (463*s[7])/44 + (2294*s[8])/99 + (179*s[9])/18 - (863*s[10])/18 + 
       (1291*s[11])/132 + (992*s[12])/33 + (13*s[13])/132 - 
       (8453*s[14])/132 + (205*s[15])/12 - (811*s[16])/66 - 
       (5609*s[17])/132 + (2053*s[18])/54 - (1538*s[19])/27 - 
       (11732*s[20])/297 + (5773*s[21])/1188 - (2051*s[22])/1188 - 
       (29767*s[23])/66 + (52559*s[24])/594 + (259993*s[25])/10692 - 
       (150517*s[26])/10692 - 2*s[37] - 8*s[38] + 41*s[39] - 43*s[40] + 
       34*s[41] - 74*s[42] - (41*s[43])/11 + (261*s[44])/22 + 
       (155*s[45])/11 + (64*s[46])/11 - (4889*s[47])/66 + (6001*s[48])/66 - 
       (1525*s[49])/66 + (61*s[50])/11 - (4981*s[51])/66 - (2587*s[52])/66 + 
       (74*s[53])/33 - (799*s[54])/11 - (5789*s[55])/66 + (1075*s[56])/22 - 
       (19611*s[57])/22 + (51841*s[58])/198 - (50623*s[59])/198 + 
       (246733*s[60])/396 + (19175*s[61])/1782 + 72*s[82]) + 
     HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - u]*(-40*s[2] - 54*s[3] - 154*s[4] + 
       (808*s[5])/11 - (10712*s[6])/11 + (2478*s[7])/11 + (4640*s[8])/33 - 
       (1598*s[9])/3 - (3322*s[10])/3 + (7014*s[11])/11 + (18208*s[12])/11 + 
       (20194*s[13])/11 - (2690*s[14])/11 - (9154*s[15])/3 - 
       (12964*s[16])/11 - (38160*s[17])/11 + (4592*s[18])/9 - 
       (14270*s[19])/9 - (185744*s[20])/99 - (3584*s[21])/99 + 
       (14668*s[22])/99 - (61466*s[23])/11 + (163282*s[24])/99 + 
       (980158*s[25])/891 - (682546*s[26])/891 - 8*s[32] - 80*s[37] - 
       72*s[38] + 512*s[39] - 570*s[40] + 220*s[41] - 724*s[42] - 
       (4524*s[43])/11 + (6728*s[44])/11 + (5136*s[45])/11 + 
       (2136*s[46])/11 - (1288*s[47])/11 - (8108*s[48])/11 + 
       (10860*s[49])/11 + (19640*s[50])/11 - (8504*s[51])/33 - 
       (5232*s[52])/11 - (13716*s[53])/11 - (16064*s[54])/11 - 
       (100996*s[55])/11 + (20060*s[56])/11 - (640456*s[57])/33 + 
       (586796*s[58])/99 - (393728*s[59])/99 + (291728*s[60])/33 + 
       (162128*s[61])/891 + 72*s[82]) + D28[v, w, u]*
      (-34*s[4] - (1825*s[5])/44 - (2589*s[6])/44 - (33347*s[7])/44 + 
       (43607*s[8])/1188 + (72811*s[9])/108 + (23579*s[10])/108 + 
       (80692*s[11])/99 + (341243*s[12])/396 + (204823*s[13])/396 + 
       (58243*s[14])/396 + (9542*s[15])/9 + (124888*s[16])/99 + 
       (401683*s[17])/396 + (40913*s[18])/324 + (20987*s[19])/162 + 
       (1410235*s[20])/891 + (1023785*s[21])/1782 - (1452695*s[22])/3564 - 
       (122833*s[23])/198 - (775667*s[24])/891 + (65049569*s[25])/64152 - 
       (36921149*s[26])/64152 - (3*s[33])/2 + 2*s[34] + s[36] - 
       (31*s[37])/6 - 30*s[38] + (235*s[39])/4 - (247*s[40])/4 + 
       (203*s[41])/4 - (283*s[42])/4 - (2917*s[43])/44 + (3511*s[44])/88 - 
       (10661*s[45])/132 + (15665*s[46])/33 - (6505*s[47])/264 - 
       (3667*s[48])/264 + (59467*s[49])/264 - (3730*s[50])/11 - 
       (20267*s[51])/264 - (16517*s[52])/264 + (24031*s[53])/99 - 
       (1036*s[54])/33 + (421291*s[55])/264 + (333703*s[56])/792 - 
       (115763*s[57])/297 + (5355791*s[58])/7128 - (5380523*s[59])/7128 - 
       (688775*s[60])/176 + (6453001*s[61])/32076 + 2*s[71] - (31*s[80])/3 + 
       72*s[82]) + HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - v]*
      (-6*s[1] - 72*s[2] - 110*s[4] + (9212*s[5])/11 - (966*s[6])/11 + 
       (196414*s[7])/33 - (2042*s[8])/297 - (155560*s[9])/27 - 
       (73724*s[10])/27 - (516145*s[11])/99 - (381794*s[12])/99 - 
       (101053*s[13])/99 - (346147*s[14])/99 - (104480*s[15])/9 - 
       (1107655*s[16])/99 - (1261423*s[17])/99 - (113702*s[18])/81 - 
       (108280*s[19])/81 - (14314612*s[20])/891 - (5952313*s[21])/891 + 
       (2764433*s[22])/891 + (20225*s[23])/99 + (6356849*s[24])/891 - 
       (40244848*s[25])/8019 + (35313820*s[26])/8019 - 8*s[27] - 48*s[31] - 
       60*s[33] + 32*s[34] + 32*s[35] - (272*s[36])/3 - 16*s[37] + 
       108*s[38] - 164*s[39] + (494*s[40])/3 - 238*s[41] + (550*s[42])/3 + 
       (18130*s[43])/33 - (4588*s[44])/33 + (13694*s[45])/11 - 
       (184156*s[46])/33 - (13726*s[47])/99 - (25276*s[48])/99 - 
       (233492*s[49])/99 + (180712*s[50])/33 + (15430*s[51])/99 + 
       (1972*s[52])/99 - (443258*s[53])/99 - (45904*s[54])/33 - 
       (966178*s[55])/33 - (320048*s[56])/99 - (4836364*s[57])/297 - 
       (2166100*s[58])/891 + (4673338*s[59])/891 + (16340737*s[60])/297 - 
       (16730404*s[61])/8019 + 16*s[62] + 48*s[76] - 64*s[79] + 48*s[80] + 
       72*s[82]) + HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - w]*
      (-96*s[3] + 348*s[4] + (2172*s[5])/11 - (878*s[6])/11 + 
       (475898*s[7])/99 - (11002*s[8])/33 - 3966*s[9] - (5782*s[10])/3 - 
       (155717*s[11])/33 - (46120*s[12])/11 - (276415*s[13])/99 + 
       (11455*s[14])/33 - (79214*s[15])/9 - (847549*s[16])/99 - 
       (872573*s[17])/99 + (17042*s[18])/27 - (77828*s[19])/27 - 
       (2538068*s[20])/297 - (603883*s[21])/297 + (241873*s[22])/99 - 
       (45049*s[23])/99 + (84811*s[24])/11 - (18322570*s[25])/2673 + 
       (7215616*s[26])/2673 - 16*s[30] - (272*s[36])/3 - 16*s[37] + 
       108*s[38] - 164*s[39] + (524*s[40])/3 - 238*s[41] + (550*s[42])/3 + 
       (18130*s[43])/33 - (4588*s[44])/33 + (13804*s[45])/11 - 
       (184156*s[46])/33 - (13726*s[47])/99 - (25276*s[48])/99 - 
       (233492*s[49])/99 + (180712*s[50])/33 + (15430*s[51])/99 + 
       (1972*s[52])/99 - (443258*s[53])/99 - (43792*s[54])/33 - 
       (966904*s[55])/33 - (324800*s[56])/99 - (4911208*s[57])/297 - 
       (2088880*s[58])/891 + (4596118*s[59])/891 + (16391227*s[60])/297 - 
       (16425682*s[61])/8019 + 16*s[62] - 16*s[69] + 48*s[76] - 64*s[79] + 
       48*s[80] + 72*s[82]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1}, 1 - u]*
      (16*s[2] + 193*s[4] + (1880*s[5])/11 + (4063*s[6])/11 + 
       (677807*s[7])/198 - (90346*s[8])/297 - (78221*s[9])/27 - 
       (21859*s[10])/27 - (773191*s[11])/198 - (439990*s[12])/99 - 
       (269041*s[13])/99 - (47065*s[14])/198 - (74989*s[15])/18 - 
       (1110545*s[16])/198 - (129157*s[17])/33 - (51502*s[18])/81 - 
       (39752*s[19])/81 - (11774647*s[20])/1782 - (2141543*s[21])/891 + 
       (3241055*s[22])/1782 + (861559*s[23])/198 + (6678941*s[24])/1782 - 
       (80721379*s[25])/16038 + (21611354*s[26])/8019 - 8*s[33] - 2*s[35] - 
       (58*s[36])/3 + (65*s[37])/3 + 168*s[38] - 580*s[39] + (1864*s[40])/3 - 
       452*s[41] + (2387*s[42])/3 + (15866*s[43])/33 - (16502*s[44])/33 + 
       (16010*s[45])/33 - (126994*s[46])/33 + (44855*s[47])/198 + 
       (12911*s[48])/198 - (427847*s[49])/198 + (91583*s[50])/33 + 
       (110593*s[51])/198 + (46184*s[52])/99 - (183869*s[53])/99 + 
       (6092*s[54])/33 - (257299*s[55])/22 - (220741*s[56])/66 + 
       (61037*s[57])/11 - (3941233*s[58])/594 + (3860599*s[59])/594 + 
       (36912209*s[60])/1188 - (4399225*s[61])/2673 + 8*s[68] - 8*s[69] + 
       8*s[70] + 2*s[76] - (8*s[80])/3 + 84*s[82]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 1 - v]*(5*s[2] + 195*s[4] + 
       (1847*s[5])/11 + (4965*s[6])/11 + (662099*s[7])/198 - 
       (28799*s[8])/99 - (25192*s[9])/9 - (6665*s[10])/9 - 
       (126590*s[11])/33 - (290419*s[12])/66 - (533605*s[13])/198 - 
       (21577*s[14])/66 - (72215*s[15])/18 - (540989*s[16])/99 - 
       (366868*s[17])/99 - (18424*s[18])/27 - (9968*s[19])/27 - 
       (1939607*s[20])/297 - (486005*s[21])/198 + (1049647*s[22])/594 + 
       (849833*s[23])/198 + (2144239*s[24])/594 - (1458455*s[25])/297 + 
       (805463*s[26])/297 + 8*s[32] - 19*s[33] + 2*s[34] - (26*s[36])/3 + 
       (67*s[37])/3 + 172*s[38] - 565*s[39] + (1835*s[40])/3 - 441*s[41] + 
       (2278*s[42])/3 + (16207*s[43])/33 - (32795*s[44])/66 + 
       (15691*s[45])/33 - (124112*s[46])/33 + (41203*s[47])/198 + 
       (23053*s[48])/198 - (424723*s[49])/198 + (85852*s[50])/33 + 
       (97283*s[51])/198 + (89387*s[52])/198 - (174376*s[53])/99 + 
       (6400*s[54])/33 - (743935*s[55])/66 - (221555*s[56])/66 + 
       (186785*s[57])/33 - (3896045*s[58])/594 + (3825641*s[59])/594 + 
       (35664655*s[60])/1188 - (4273979*s[61])/2673 + 8*s[68] - 8*s[69] + 
       8*s[70] + 2*s[76] - (4*s[80])/3 + 84*s[82]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]^2*(26*s[3] + (219*s[4])/4 - 
       (603*s[5])/44 - (2*s[6])/11 + (42073*s[7])/88 - (3395*s[8])/66 - 
       (4409*s[9])/12 - (1945*s[10])/12 - (49325*s[11])/88 - 
       (14185*s[12])/22 - (36295*s[13])/88 + (15679*s[14])/88 - 
       (15563*s[15])/24 - (35935*s[16])/44 - (49393*s[17])/88 + 
       (2561*s[18])/36 - (11177*s[19])/36 - (296249*s[20])/396 - 
       (65785*s[21])/792 + (198455*s[22])/792 + (1692*s[23])/11 + 
       (74989*s[24])/99 - (6087127*s[25])/7128 + (1884235*s[26])/7128 + 
       s[32] + (5*s[37])/2 + 20*s[38] - (91*s[39])/2 + (99*s[40])/2 - 
       (63*s[41])/2 + 45*s[42] + (1139*s[43])/22 - (2063*s[44])/44 + 
       (2609*s[45])/22 - (6470*s[46])/11 - (183*s[47])/44 + (1819*s[48])/44 - 
       (16017*s[49])/44 + (6045*s[50])/11 + (3623*s[51])/132 + 
       (325*s[52])/44 - (3972*s[53])/11 - (2449*s[54])/11 - 
       (102401*s[55])/44 - (10995*s[56])/44 - (20534*s[57])/33 - 
       (219641*s[58])/396 + (259565*s[59])/396 + (1552289*s[60])/264 - 
       (184634*s[61])/891 + 102*s[82]) + HPL[{1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u]^2*((153*s[4])/4 + (2197*s[5])/88 + 
       (1299*s[6])/88 + (34273*s[7])/66 - (161357*s[8])/2376 - 
       (92887*s[9])/216 - (34283*s[10])/216 - (441745*s[11])/792 - 
       (467129*s[12])/792 - (30335*s[13])/99 + (16393*s[14])/396 - 
       (59219*s[15])/72 - (191833*s[16])/198 - (323471*s[17])/396 - 
       (29009*s[18])/648 - (13523*s[19])/81 - (3633587*s[20])/3564 - 
       (2225731*s[21])/7128 + (242515*s[22])/891 + (289057*s[23])/396 + 
       (2359369*s[24])/3564 - (97131557*s[25])/128304 + 
       (45634097*s[26])/128304 - (9*s[33])/4 + 3*s[34] + s[36]/3 + 
       (121*s[37])/12 + (35*s[38])/2 - (441*s[39])/4 + (1511*s[40])/12 - 
       94*s[41] + (1055*s[42])/6 + (12781*s[43])/132 - (27785*s[44])/264 + 
       (25589*s[45])/264 - (222745*s[46])/264 + (29269*s[47])/792 - 
       (23333*s[48])/792 - (437827*s[49])/792 + (25195*s[50])/33 + 
       (71921*s[51])/792 + (37331*s[52])/792 - (441659*s[53])/792 - 
       (26867*s[54])/132 - (884341*s[55])/264 - (136157*s[56])/264 + 
       (20467*s[57])/132 - (1209193*s[58])/1188 + (3028733*s[59])/2376 + 
       (9013969*s[60])/1188 - (12450047*s[61])/42768 + (3*s[71])/2 + 
       24*s[79] - (77*s[80])/6 + 102*s[82]) + 
     HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - v]*(624*s[3] + 676*s[4] + 
       (7962*s[5])/11 + (7708*s[6])/11 + (437770*s[7])/33 - (29026*s[8])/33 - 
       (33260*s[9])/3 - (13393*s[10])/3 - (148681*s[11])/11 - 
       (293951*s[12])/22 - (559981*s[13])/66 - (23049*s[14])/22 - 
       20718*s[15] - (1495627*s[16])/66 - (693265*s[17])/33 - 910*s[18] - 
       (14935*s[19])/3 - (276775*s[20])/11 - (1560917*s[21])/198 + 
       (1312175*s[22])/198 + (190918*s[23])/33 + (1628476*s[24])/99 - 
       (32105687*s[25])/1782 + (15836369*s[26])/1782 + 40*s[32] + 72*s[37] + 
       260*s[38] - 1196*s[39] + 1292*s[40] - 849*s[41] + 1685*s[42] + 
       (8425*s[43])/11 - (6055*s[44])/11 + (34976*s[45])/11 - 
       (160570*s[46])/11 + (22835*s[47])/33 - (53032*s[48])/33 - 
       (149894*s[49])/33 + (145198*s[50])/11 + (12997*s[51])/11 + 
       (34885*s[52])/33 - (319483*s[53])/33 - (6924*s[54])/11 - 
       (2109563*s[55])/33 - (122028*s[56])/11 - (121334*s[57])/11 - 
       (1653868*s[58])/99 + (1874347*s[59])/99 + (24780035*s[60])/198 - 
       (6460172*s[61])/891 + 114*s[82]) + HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - w]*
      (169*s[4] + (10688*s[5])/11 - (721*s[6])/11 + (301637*s[7])/33 - 
       (26009*s[8])/33 - (24262*s[9])/3 - (10478*s[10])/3 - 
       (166857*s[11])/22 - (67395*s[12])/11 - (76337*s[13])/66 - 
       (73191*s[14])/22 - (52852*s[15])/3 - (1101179*s[16])/66 - 
       (1193911*s[17])/66 - (8479*s[18])/3 - (2506*s[19])/3 - 
       (758705*s[20])/33 - (1842523*s[21])/198 + (891817*s[22])/198 + 
       (633949*s[23])/66 + (1679635*s[24])/198 - (7065815*s[25])/891 + 
       (5751338*s[26])/891 - 96*s[37] - 302*s[38] + 8*s[39] - 23*s[40] - 
       169*s[41] + 305*s[42] - (1993*s[43])/11 + (4181*s[44])/11 + 
       (23235*s[45])/11 - (96454*s[46])/11 + (10393*s[47])/33 - 
       (65936*s[48])/33 + (18794*s[49])/33 + (90702*s[50])/11 + 
       (6097*s[51])/33 + (5123*s[52])/33 - (240029*s[53])/33 + 
       (13828*s[54])/11 - (1597397*s[55])/33 - (102838*s[56])/11 - 
       (674698*s[57])/33 - (73858*s[58])/11 + (307345*s[59])/33 + 
       (14015869*s[60])/198 - (4962086*s[61])/891 + 114*s[82]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1}, 1 - v]*
      ((311*s[4])/4 - (3565*s[5])/44 + (629*s[6])/22 - (26553*s[7])/88 - 
       (12557*s[8])/198 + (12823*s[9])/36 + (8543*s[10])/36 + 
       (43127*s[11])/264 - (2311*s[12])/33 - (6151*s[13])/264 + 
       (118871*s[14])/264 + (5497*s[15])/8 + (73477*s[16])/132 + 
       (267035*s[17])/264 + (9011*s[18])/108 + (8977*s[19])/108 + 
       (1022605*s[20])/1188 + (1095371*s[21])/2376 - (367549*s[22])/2376 + 
       (54401*s[23])/66 - (90005*s[24])/297 + (191513*s[25])/21384 - 
       (4694213*s[26])/21384 + 8*s[32] - (3*s[37])/2 + 8*s[38] - 
       (53*s[39])/2 + (53*s[40])/2 - (95*s[41])/2 + 39*s[42] + 
       (569*s[43])/22 - (2285*s[44])/44 - (2333*s[45])/22 + (2014*s[46])/11 + 
       (1457*s[47])/132 + (13139*s[48])/132 - (16757*s[49])/132 - 
       (3248*s[50])/11 + (3133*s[51])/132 - (6719*s[52])/132 + 
       (7124*s[53])/33 - (156*s[54])/11 + (213755*s[55])/132 + 
       (6867*s[56])/44 + (96335*s[57])/66 - (2751*s[58])/44 + 
       (5405*s[59])/132 - (1520995*s[60])/792 + (334333*s[61])/1782 + 
       114*s[82]) + HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - u]*
      (676*s[4] + (17444*s[5])/11 + (18917*s[6])/11 + (238404*s[7])/11 - 
       (324781*s[8])/297 - (514277*s[9])/27 - (189370*s[10])/27 - 
       (4412509*s[11])/198 - (4359953*s[12])/198 - (1222568*s[13])/99 - 
       (577859*s[14])/99 - (309934*s[15])/9 - (3773315*s[16])/99 - 
       (6901615*s[17])/198 - (274015*s[18])/81 - (367967*s[19])/81 - 
       (42274853*s[20])/891 - (15964778*s[21])/891 + (10083946*s[22])/891 + 
       (3208613*s[23])/198 + (46172477*s[24])/1782 - (432935947*s[25])/
        16038 + (264082249*s[26])/16038 - (56*s[36])/3 - (20*s[37])/3 + 
       784*s[38] - 2362*s[39] + (8198*s[40])/3 - 1970*s[41] + 
       (9928*s[42])/3 + (91462*s[43])/33 - (65542*s[44])/33 + 
       (116038*s[45])/33 - (767468*s[46])/33 + (32117*s[47])/99 + 
       (18983*s[48])/99 - (1207109*s[49])/99 + (631438*s[50])/33 + 
       (167617*s[51])/99 + (186484*s[52])/99 - (1439182*s[53])/99 - 
       (29396*s[54])/33 - (3119825*s[55])/33 - (603805*s[56])/33 - 
       (260602*s[57])/33 - (8037391*s[58])/297 + (9812809*s[59])/297 + 
       (121715741*s[60])/594 - (24918917*s[61])/2673 + 576*s[79] - 
       (328*s[80])/3 + 114*s[82]) + HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1}, 
       1 - u]*((377*s[4])/4 - (3735*s[5])/88 - (2913*s[6])/88 + 
       (12295*s[7])/33 - (235825*s[8])/2376 - (57023*s[9])/216 - 
       (13231*s[10])/216 - (399149*s[11])/792 - (539281*s[12])/792 - 
       (82499*s[13])/198 + (168383*s[14])/396 - (28867*s[15])/72 - 
       (133361*s[16])/198 - (90199*s[17])/396 + (39275*s[18])/648 - 
       (17404*s[19])/81 - (1430563*s[20])/3564 + (625885*s[21])/7128 + 
       (389953*s[22])/1782 + (433541*s[23])/396 + (2032043*s[24])/3564 - 
       (110979793*s[25])/128304 + (22897837*s[26])/128304 + (9*s[33])/4 - 
       3*s[34] - (40*s[36])/3 - (19*s[37])/12 + s[38]/2 - 65*s[39] + 
       (187*s[40])/3 - (289*s[41])/4 + (1349*s[42])/12 + (299*s[43])/33 - 
       (7121*s[44])/132 - (2675*s[45])/264 - (64115*s[46])/264 + 
       (4831*s[47])/99 - (5155*s[48])/198 - (36785*s[49])/198 + 
       (8441*s[50])/33 + (48311*s[51])/396 + (1079*s[52])/396 - 
       (109873*s[53])/792 - (10993*s[54])/132 - (5109*s[55])/11 - 
       (22675*s[56])/132 + (508505*s[57])/396 - (490823*s[58])/792 + 
       (231299*s[59])/396 + (10284227*s[60])/4752 - (4049225*s[61])/42768 - 
       (3*s[71])/2 + (35*s[80])/6 + 114*s[82]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1, 1}, 1 - u]*
      ((-125*s[4])/2 + (295*s[5])/2 - (405*s[6])/4 + (9895*s[7])/12 + 
       (1045*s[8])/36 - (29195*s[9])/36 - (10625*s[10])/18 - 
       (14255*s[11])/24 - (1645*s[12])/24 + 175*s[13] - (2885*s[14])/6 - 
       (30335*s[15])/12 - 2080*s[16] - (71755*s[17])/24 + (14315*s[18])/108 - 
       (71315*s[19])/108 - (68215*s[20])/27 - (54485*s[21])/54 + 
       (45245*s[22])/108 - (4535*s[23])/8 + (351055*s[24])/216 - 
       (1028285*s[25])/1944 + (1063565*s[26])/1944 - (5*s[35])/2 + 
       (5*s[36])/2 + 5*s[37] + (125*s[39])/2 - (125*s[40])/2 + 
       (125*s[41])/2 - 120*s[42] + (245*s[43])/2 - 220*s[44] + 
       (465*s[45])/2 - 795*s[46] - 185*s[47] - (155*s[48])/2 - 
       (1465*s[49])/2 + 995*s[50] - (995*s[51])/3 - 215*s[52] - 1115*s[53] - 
       995*s[54] - (21505*s[55])/3 + 225*s[56] - (39125*s[57])/6 + 
       (10520*s[58])/9 + (4960*s[59])/9 + (33025*s[60])/3 - 
       (4865*s[61])/162 + 120*s[82]) + HPL[{1}, 1 - u]*
      HPL[{0, 1, 1, 1, 1, 1}, 1 - v]*((-15*s[3])/2 - 85*s[4] - (455*s[5])/2 - 
       (2145*s[6])/4 - (32375*s[7])/12 + (6355*s[8])/36 + (82135*s[9])/36 + 
       (10165*s[10])/18 + (68455*s[11])/24 + (75515*s[12])/24 + 
       (6575*s[13])/4 + (15545*s[14])/12 + (38725*s[15])/12 + 
       (17835*s[16])/4 + (82055*s[17])/24 + (133115*s[18])/108 - 
       (62945*s[19])/108 + (332155*s[20])/54 + (316235*s[21])/108 - 
       (75905*s[22])/54 - (39865*s[23])/8 - (432935*s[24])/216 + 
       (6135265*s[25])/1944 - (4891465*s[26])/1944 - 70*s[38] + 
       (875*s[39])/2 - (907*s[40])/2 + (865*s[41])/2 - 720*s[42] - 
       (875*s[43])/2 + (885*s[44])/4 - 150*s[45] + 2715*s[46] - 
       (515*s[47])/4 - (1155*s[48])/4 + (5785*s[49])/4 - 1530*s[50] - 
       (1785*s[51])/4 - (1655*s[52])/4 + (2325*s[53])/2 - 1030*s[54] + 
       (81265*s[55])/12 + (14085*s[56])/4 - (42025*s[57])/6 + 
       (197035*s[58])/36 - (181825*s[59])/36 - (147545*s[60])/8 + 
       (111625*s[61])/81 + 120*s[82]) + HPL[{1}, 1 - v]^2*Qep[u, w, v]*
      ((548*s[4])/9 - (1520*s[5])/33 - (1246*s[6])/33 + (6026*s[7])/297 - 
       (34502*s[8])/891 + (6518*s[9])/81 - (3728*s[10])/81 + 
       (11483*s[11])/297 + (39433*s[12])/297 - (5528*s[13])/297 + 
       (20156*s[14])/297 - (10138*s[15])/27 - (36956*s[16])/297 - 
       (39887*s[17])/99 + (103990*s[18])/243 - (122194*s[19])/243 + 
       (558212*s[20])/2673 + (1300052*s[21])/2673 - (74026*s[22])/2673 - 
       (483059*s[23])/297 + (1749665*s[24])/2673 - (5716669*s[25])/24057 - 
       (5355239*s[26])/24057 - (352*s[38])/9 + (536*s[39])/3 - 
       (536*s[40])/3 + (1732*s[41])/9 - (2540*s[42])/9 - (872*s[43])/99 + 
       (6244*s[44])/99 + (1480*s[45])/11 - (12208*s[46])/99 - 
       (41704*s[47])/297 + (56240*s[48])/297 + (32272*s[49])/297 + 
       (6928*s[50])/33 - (14480*s[51])/99 - (67220*s[52])/297 - 
       (104992*s[53])/297 - (3008*s[54])/33 - (284080*s[55])/99 - 
       (17516*s[56])/99 - (1752424*s[57])/297 + (1335544*s[58])/891 - 
       (868708*s[59])/891 + (3447886*s[60])/891 - (26530*s[61])/297 + 
       128*s[82]) + HPL[{1}, 1 - u]^2*Qep[v, w, u]*
      ((52*s[4])/3 + (464*s[5])/33 + (298*s[6])/11 + (2318*s[7])/99 + 
       (1658*s[8])/99 - (434*s[9])/9 + (44*s[10])/9 - (915*s[11])/11 - 
       (2993*s[12])/33 - (4486*s[13])/99 - (1934*s[14])/33 + (866*s[15])/9 - 
       (1798*s[16])/99 + (7789*s[17])/99 - (1514*s[18])/27 + (26*s[19])/27 - 
       (28960*s[20])/297 + (2234*s[21])/99 + (10540*s[22])/297 - 
       (33013*s[23])/99 + (29257*s[24])/297 - (107441*s[25])/891 + 
       (2609*s[26])/891 - (128*s[37])/9 - (16*s[39])/3 + (16*s[40])/3 - 
       28*s[41] - (116*s[42])/3 - (2144*s[43])/33 - (446*s[44])/33 + 
       (368*s[45])/11 - (1504*s[46])/33 + (8614*s[47])/99 - 
       (18050*s[48])/99 + (12482*s[49])/99 + (624*s[50])/11 + 
       (4702*s[51])/33 + (6134*s[52])/99 + (4828*s[53])/99 + (64*s[54])/11 + 
       (6202*s[55])/33 + (2594*s[56])/11 + (13600*s[57])/33 - 
       (36326*s[58])/297 - (54166*s[59])/297 + (86903*s[60])/297 + 
       (72098*s[61])/2673 + 128*s[82]) + HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - u]*
      (-120*s[2] - 159*s[3] - 337*s[4] + (4232*s[5])/11 - (31272*s[6])/11 + 
       (106303*s[7])/33 + (8084*s[8])/33 - (11411*s[9])/3 - (12625*s[10])/3 - 
       (7471*s[11])/11 + (26264*s[12])/11 + (135649*s[13])/33 - 
       (11355*s[14])/11 - 13169*s[15] - (264482*s[16])/33 - 
       (478870*s[17])/33 + (3602*s[18])/3 - 5511*s[19] - (356396*s[20])/33 - 
       (186526*s[21])/99 + (174292*s[22])/99 - (493193*s[23])/33 + 
       (796465*s[24])/99 - (2149*s[25])/891 - (465617*s[26])/891 - 24*s[32] - 
       240*s[37] - 132*s[38] + 1240*s[39] - 1417*s[40] + 422*s[41] - 
       1818*s[42] - (10710*s[43])/11 + (17576*s[44])/11 + (20432*s[45])/11 - 
       (23572*s[46])/11 - (9016*s[47])/33 - (75742*s[48])/33 + 
       (52150*s[49])/33 + (86468*s[50])/11 - (5920*s[51])/11 - 
       (41948*s[52])/33 - (183286*s[53])/33 - (52472*s[54])/11 - 
       (1285682*s[55])/33 + (39906*s[56])/11 - (657696*s[57])/11 + 
       (1461818*s[58])/99 - (821444*s[59])/99 + (5045866*s[60])/99 - 
       (515708*s[61])/891 + 180*s[82]) + HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - v]*
      (-15*s[1] - 216*s[2] - 211*s[4] + (30104*s[5])/11 - (461*s[6])/11 + 
       (693197*s[7])/33 - (60839*s[8])/297 - (542560*s[9])/27 - 
       (248216*s[10])/27 - (3744953*s[11])/198 - (1470263*s[12])/99 - 
       (958217*s[13])/198 - (2226839*s[14])/198 - (357116*s[15])/9 - 
       (7740215*s[16])/198 - (8534843*s[17])/198 - (387761*s[18])/81 - 
       (371548*s[19])/81 - (49111042*s[20])/891 - (40385657*s[21])/1782 + 
       (19563853*s[22])/1782 + (598825*s[23])/198 + (44593201*s[24])/1782 - 
       (152462599*s[25])/8019 + (125200357*s[26])/8019 - 24*s[27] - 
       144*s[31] - 180*s[33] + 96*s[34] + 96*s[35] - (880*s[36])/3 - 
       (112*s[37])/3 + 430*s[38] - 848*s[39] + (2605*s[40])/3 - 1009*s[41] + 
       (3029*s[42])/3 + (66683*s[43])/33 - (24371*s[44])/33 + 
       (140903*s[45])/33 - (664474*s[46])/33 - (35276*s[47])/99 - 
       (75305*s[48])/99 - (872611*s[49])/99 + (636308*s[50])/33 + 
       (75728*s[51])/99 + (26429*s[52])/99 - (1539209*s[53])/99 - 
       (151168*s[54])/33 - (3342088*s[55])/33 - (404509*s[56])/33 - 
       (4878532*s[57])/99 - (1145237*s[58])/99 + (681220*s[59])/33 + 
       (57729653*s[60])/297 - (20467784*s[61])/2673 + 48*s[62] + 144*s[76] - 
       192*s[79] + (496*s[80])/3 + 180*s[82]) + 
     HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - w]*(-288*s[3] + 1220*s[4] + 
       (8390*s[5])/11 - (769*s[6])/11 + (1729846*s[7])/99 - 
       (363691*s[8])/297 - (391109*s[9])/27 - (183091*s[10])/27 - 
       (3439681*s[11])/198 - (1567228*s[12])/99 - (2052101*s[13])/198 + 
       (170171*s[14])/198 - (279350*s[15])/9 - (6130937*s[16])/198 - 
       (2047169*s[17])/66 + (122003*s[18])/81 - (766856*s[19])/81 - 
       (28093760*s[20])/891 - (14630455*s[21])/1782 + (15881603*s[22])/1782 + 
       (293971*s[23])/198 + (47755151*s[24])/1782 - (198300743*s[25])/8019 + 
       (82707632*s[26])/8019 - 48*s[30] - (880*s[36])/3 - (112*s[37])/3 + 
       430*s[38] - 848*s[39] + (2704*s[40])/3 - 1009*s[41] + (3029*s[42])/3 + 
       (66683*s[43])/33 - (24371*s[44])/33 + (141992*s[45])/33 - 
       (664474*s[46])/33 - (35276*s[47])/99 - (75305*s[48])/99 - 
       (872611*s[49])/99 + (636308*s[50])/33 + (75728*s[51])/99 + 
       (26429*s[52])/99 - (1539209*s[53])/99 - (144832*s[54])/33 - 
       (3344167*s[55])/33 - (409261*s[56])/33 - (4955158*s[57])/99 - 
       (1118507*s[58])/99 + (672310*s[59])/33 + (57884390*s[60])/297 - 
       (20156825*s[61])/2673 + 48*s[62] - 48*s[69] + 144*s[76] - 192*s[79] + 
       (496*s[80])/3 + 180*s[82]) + HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - v]*
      (1040*s[3] + 980*s[4] + (8010*s[5])/11 - (10205*s[6])/11 + 
       (590290*s[7])/33 - (116015*s[8])/99 - (136105*s[9])/9 - 
       (67160*s[10])/9 - (1169765*s[11])/66 - (1086025*s[12])/66 - 
       (122015*s[13])/11 + (58955*s[14])/33 - (92240*s[15])/3 - 
       (342010*s[16])/11 - (2058505*s[17])/66 + (51355*s[18])/27 - 
       (314395*s[19])/27 - (9114580*s[20])/297 - (1896985*s[21])/297 + 
       (2637080*s[22])/297 - (90755*s[23])/22 + (15605275*s[24])/594 - 
       (135996845*s[25])/5346 + (51253205*s[26])/5346 - 40*s[32] + 
       120*s[37] + 310*s[38] - 1220*s[39] + 1348*s[40] - 550*s[41] + 
       1510*s[42] + (5930*s[43])/11 - (2745*s[44])/11 + (58920*s[45])/11 - 
       (220140*s[46])/11 + (9915*s[47])/11 - (36395*s[48])/11 - 
       (70115*s[49])/11 + (238460*s[50])/11 + (40385*s[51])/33 + 
       (9675*s[52])/11 - (167600*s[53])/11 - (60220*s[54])/11 - 
       (3335635*s[55])/33 - (106255*s[56])/11 - (1326610*s[57])/33 - 
       (1519225*s[58])/99 + (2080285*s[59])/99 + (4191305*s[60])/22 - 
       (8391940*s[61])/891 + 240*s[82]) + HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - w]*
      (-350*s[4] + (19840*s[5])/11 - (12920*s[6])/11 + (400780*s[7])/33 - 
       (9480*s[8])/11 - 11450*s[9] - 5840*s[10] - (94390*s[11])/11 - 
       (55625*s[12])/11 + (74785*s[13])/33 - (71515*s[14])/11 - 
       (80480*s[15])/3 - (764105*s[16])/33 - (930580*s[17])/33 - 
       (43850*s[18])/9 - (5560*s[19])/9 - (3499810*s[20])/99 - 
       (1482245*s[21])/99 + (198325*s[22])/33 + (361420*s[23])/33 + 
       (112120*s[24])/11 - (6110795*s[25])/891 + (7368635*s[26])/891 - 
       160*s[37] - 670*s[38] + 670*s[39] - 702*s[40] + 350*s[41] - 
       430*s[42] - (10980*s[43])/11 + (13685*s[44])/11 + (35830*s[45])/11 - 
       (113900*s[46])/11 + (16025*s[47])/33 - (131155*s[48])/33 + 
       (112525*s[49])/33 + (125660*s[50])/11 - (7675*s[51])/33 - 
       (8495*s[52])/33 - (340690*s[53])/33 + (6260*s[54])/11 - 
       (2296975*s[55])/33 - (111495*s[56])/11 - (1434050*s[57])/33 - 
       (97505*s[58])/33 + (252895*s[59])/33 + (17264015*s[60])/198 - 
       (6464785*s[61])/891 + 240*s[82]) + HPL[{0, 1, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v]*(-12*s[3] + (369*s[4])/4 + (3541*s[5])/44 + 
       (6593*s[6])/44 + (225067*s[7])/132 - (62525*s[8])/396 - 
       (13057*s[9])/9 - (18269*s[10])/36 - (120869*s[11])/66 - 
       (521947*s[12])/264 - (93277*s[13])/88 - (81593*s[14])/264 - 
       (29351*s[15])/12 - (262759*s[16])/88 - (154135*s[17])/66 - 
       (38507*s[18])/108 - (25075*s[19])/108 - (4322317*s[20])/1188 - 
       (3175181*s[21])/2376 + (2151055*s[22])/2376 + (71537*s[23])/44 + 
       (2362139*s[24])/1188 - (11984315*s[25])/5346 + 
       (13696003*s[26])/10692 - 6*s[37] + 41*s[38] - (629*s[39])/4 + 
       (605*s[40])/4 - (333*s[41])/2 + 262*s[42] + (8739*s[43])/44 - 
       (7521*s[44])/44 + (8809*s[45])/44 - (20558*s[46])/11 + 
       (2539*s[47])/44 + (1237*s[48])/11 - (9970*s[49])/11 + 
       (65889*s[50])/44 + (27311*s[51])/132 + (937*s[52])/11 - 
       (46737*s[53])/44 - (2149*s[54])/22 - (443381*s[55])/66 - 
       (17107*s[56])/11 - (739*s[57])/44 - (105579*s[58])/44 + 
       (109213*s[59])/44 + (1432097*s[60])/88 - (233026*s[61])/297 + 
       240*s[82]) + HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - u]*
      (980*s[4] + (36280*s[5])/11 + (33465*s[6])/11 + (1359410*s[7])/33 - 
       (512165*s[8])/297 - (988165*s[9])/27 - (384650*s[10])/27 - 
       (8281865*s[11])/198 - (7922185*s[12])/198 - (2175970*s[13])/99 - 
       (1239385*s[14])/99 - (613160*s[15])/9 - (7336135*s[16])/99 - 
       (13886075*s[17])/198 - (497195*s[18])/81 - (763675*s[19])/81 - 
       (82413865*s[20])/891 - (31745500*s[21])/891 + (19193720*s[22])/891 + 
       (4904305*s[23])/198 + (89997865*s[24])/1782 - (797796215*s[25])/
        16038 + (504801845*s[26])/16038 + (440*s[36])/3 + (20*s[37])/3 + 
       1520*s[38] - 4190*s[39] + (14530*s[40])/3 - 3430*s[41] + 
       (17120*s[42])/3 + (177290*s[43])/33 - (123680*s[44])/33 + 
       (230330*s[45])/33 - (1448020*s[46])/33 + (17515*s[47])/99 + 
       (40945*s[48])/99 - (2435035*s[49])/99 + (1224350*s[50])/33 + 
       (238415*s[51])/99 + (289970*s[52])/99 - (2825870*s[53])/99 - 
       (197380*s[54])/33 - (6155375*s[55])/33 - (1036075*s[56])/33 - 
       (2763010*s[57])/99 - (1535825*s[58])/33 + (6035005*s[59])/99 + 
       (235093855*s[60])/594 - (44092025*s[61])/2673 + 960*s[79] - 
       (440*s[80])/3 + 240*s[82]) + HPL[{0, 1, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u]*(69*s[4] - (603*s[5])/88 - (1339*s[6])/88 + 
       (135143*s[7])/264 - (94235*s[8])/792 - (25585*s[9])/72 - 
       (9497*s[10])/72 - (144349*s[11])/264 - (43151*s[12])/66 - 
       (82025*s[13])/264 + (56777*s[14])/264 - (9877*s[15])/12 - 
       (64937*s[16])/66 - (14299*s[17])/22 - (10139*s[18])/216 - 
       (16223*s[19])/108 - (1058663*s[20])/1188 - (58754*s[21])/297 + 
       (616391*s[22])/2376 + (274591*s[23])/264 + (1577567*s[24])/2376 - 
       (34478945*s[25])/42768 + (13141241*s[26])/42768 - (9*s[33])/4 + 
       12*s[35] - 10*s[36] - (89*s[37])/4 - (3*s[38])/2 - (129*s[39])/2 + 
       (119*s[40])/2 - (153*s[41])/2 + (301*s[42])/2 + (93*s[43])/2 - 
       (253*s[44])/4 + (563*s[45])/8 - (6585*s[46])/8 + (99*s[47])/2 - 
       (143*s[48])/2 - (749*s[49])/2 + (3259*s[50])/4 + (1237*s[51])/12 - 
       (35*s[52])/4 - (4777*s[53])/8 - (465*s[54])/4 - (42997*s[55])/12 - 
       (1291*s[56])/2 - (1473*s[57])/4 - (7805*s[58])/8 + 1159*s[59] + 
       (364531*s[60])/48 - (52249*s[61])/144 + (3*s[62])/2 + (3*s[71])/2 - 
       12*s[79] + (5*s[80])/2 + 240*s[82]) + 
     HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - u]*(-200*s[2] - 240*s[3] - 576*s[4] + 
       (10344*s[5])/11 - (59064*s[6])/11 + (297148*s[7])/33 + 
       (9256*s[8])/33 - (29200*s[9])/3 - (27008*s[10])/3 - (45772*s[11])/11 + 
       (18016*s[12])/11 + (209092*s[13])/33 - (24988*s[14])/11 - 
       29572*s[15] - (668744*s[16])/33 - (1062268*s[17])/33 + 
       (16652*s[18])/9 - (101672*s[19])/9 - (2626904*s[20])/99 - 
       (61724*s[21])/11 + (476876*s[22])/99 - (861260*s[23])/33 + 
       (1837544*s[24])/99 - (1095872*s[25])/297 + (302504*s[26])/297 - 
       40*s[32] - 400*s[37] - 160*s[38] + 2032*s[39] - 2384*s[40] + 
       576*s[41] - 3024*s[42] - (18192*s[43])/11 + (31272*s[44])/11 + 
       (45328*s[45])/11 - (77984*s[46])/11 - (11416*s[47])/33 - 
       (154504*s[48])/33 + (60472*s[49])/33 + (195056*s[50])/11 - 
       (8152*s[51])/11 - (70760*s[52])/33 - (413536*s[53])/33 - 
       (101872*s[54])/11 - (957400*s[55])/11 + (49048*s[56])/11 - 
       (3788728*s[57])/33 + (2414008*s[58])/99 - (1148008*s[59])/99 + 
       (12173332*s[60])/99 - (760024*s[61])/297 + 384*s[82]) + 
     HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - v]*(-32*s[1] - 360*s[2] - 288*s[4] + 
       (60900*s[5])/11 + (2756*s[6])/11 + (1463060*s[7])/33 - 
       (175724*s[8])/297 - (1139368*s[9])/27 - (507524*s[10])/27 - 
       (4006660*s[11])/99 - (3246404*s[12])/99 - (1151512*s[13])/99 - 
       (2248936*s[14])/99 - (737096*s[15])/9 - (8093236*s[16])/99 - 
       (8752144*s[17])/99 - (820868*s[18])/81 - (739936*s[19])/81 - 
       (102202816*s[20])/891 - (41789980*s[21])/891 + (20693720*s[22])/891 + 
       (913604*s[23])/99 + (46465772*s[24])/891 - (332503486*s[25])/8019 + 
       (264803614*s[26])/8019 - 40*s[27] - 240*s[31] - 300*s[33] + 
       160*s[34] + 160*s[35] - 560*s[36] - (80*s[37])/3 + 960*s[38] - 
       2124*s[39] + 2204*s[40] - 2332*s[41] + 2628*s[42] + (47412*s[43])/11 - 
       (20142*s[44])/11 + (292492*s[45])/33 - (1416232*s[46])/33 - 
       (16454*s[47])/33 - (51698*s[48])/33 - (622342*s[49])/33 + 
       (444448*s[50])/11 + (64006*s[51])/33 + (30770*s[52])/33 - 
       (3196496*s[53])/99 - (293296*s[54])/33 - (6932278*s[55])/33 - 
       (2684878*s[56])/99 - (27441836*s[57])/297 - (25333094*s[58])/891 + 
       (41065670*s[59])/891 + (13453189*s[60])/33 - (132957500*s[61])/8019 + 
       80*s[62] + 240*s[76] - 320*s[79] + (1040*s[80])/3 + 384*s[82]) + 
     HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - w]*(-480*s[3] + 2620*s[4] + 
       (17824*s[5])/11 + (1700*s[6])/11 + (1231246*s[7])/33 - 
       (788996*s[8])/297 - (835480*s[9])/27 - (380168*s[10])/27 - 
       (3702070*s[11])/99 - (3433184*s[12])/99 - (2237146*s[13])/99 + 
       (165146*s[14])/99 - (584006*s[15])/9 - (6504088*s[16])/99 - 
       (6399970*s[17])/99 + (185464*s[18])/81 - (1541428*s[19])/81 - 
       (60054292*s[20])/891 - (16179010*s[21])/891 + (16952774*s[22])/891 + 
       (763520*s[23])/99 + (49549688*s[24])/891 - (423615496*s[25])/8019 + 
       (180721264*s[26])/8019 - 80*s[30] - 560*s[36] - (80*s[37])/3 + 
       960*s[38] - 2124*s[39] + 2284*s[40] - 2332*s[41] + 2628*s[42] + 
       (47412*s[43])/11 - (20142*s[44])/11 + (295132*s[45])/33 - 
       (1416232*s[46])/33 - (16454*s[47])/33 - (51698*s[48])/33 - 
       (622342*s[49])/33 + (444448*s[50])/11 + (64006*s[51])/33 + 
       (30770*s[52])/33 - (3196496*s[53])/99 - (282736*s[54])/33 - 
       (6934918*s[55])/33 - (2708638*s[56])/99 - (27869516*s[57])/297 - 
       (24857894*s[58])/891 + (40590470*s[59])/891 + (13484869*s[60])/33 - 
       (131246780*s[61])/8019 + 80*s[62] - 80*s[69] + 240*s[76] - 320*s[79] + 
       (1040*s[80])/3 + 384*s[82]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1, 1, 1}, 1 - v]*(40*s[3] + 329*s[4] - (2941*s[5])/11 + 
       (2744*s[6])/11 - (41095*s[7])/66 - (27526*s[8])/99 + (8431*s[9])/9 + 
       (7355*s[10])/9 + (479*s[11])/66 - (31828*s[12])/33 - 
       (32975*s[13])/66 + (102023*s[14])/66 + (4005*s[15])/2 + 
       (40721*s[16])/33 + (71121*s[17])/22 + (2777*s[18])/27 + 
       (9811*s[19])/27 + (623407*s[20])/297 + (724919*s[21])/594 - 
       (183625*s[22])/594 + (136514*s[23])/33 - (207794*s[24])/297 - 
       (3709639*s[25])/5346 - (1859237*s[26])/5346 + 44*s[32] - 2*s[37] + 
       56*s[38] - 190*s[39] + 206*s[40] - 262*s[41] + 280*s[42] + 
       (1846*s[43])/11 - (3079*s[44])/11 - (3550*s[45])/11 + 
       (1248*s[46])/11 + (2935*s[47])/33 + (12901*s[48])/33 - 
       (24403*s[49])/33 - (9068*s[50])/11 + (1893*s[51])/11 - 
       (4117*s[52])/33 + (19384*s[53])/33 + (980*s[54])/11 + 
       (152725*s[55])/33 - (307*s[56])/11 + (76112*s[57])/11 - 
       (140693*s[58])/99 + (124865*s[59])/99 - (633029*s[60])/198 + 
       (405980*s[61])/891 + 504*s[82]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1, 1, 1}, 1 - u]*(395*s[4] - (3389*s[5])/22 - 
       (2603*s[6])/22 + (60608*s[7])/33 - (249835*s[8])/594 - 
       (73721*s[9])/54 - (17485*s[10])/54 - (479639*s[11])/198 - 
       (634723*s[12])/198 - (194278*s[13])/99 + (164957*s[14])/99 - 
       (36217*s[15])/18 - (319582*s[16])/99 - (125497*s[17])/99 + 
       (29585*s[18])/162 - (74068*s[19])/81 - (2060029*s[20])/891 + 
       (228055*s[21])/1782 + (954086*s[22])/891 + (486053*s[23])/99 + 
       (2388005*s[24])/891 - (127908475*s[25])/32076 + 
       (31160383*s[26])/32076 + 9*s[33] - 12*s[34] - (212*s[36])/3 - 
       3*s[37] + 26*s[38] - 335*s[39] + (1025*s[40])/3 - 352*s[41] + 
       (1666*s[42])/3 + (3067*s[43])/33 - (19127*s[44])/66 - (119*s[45])/22 - 
       (89255*s[46])/66 + (45283*s[47])/198 - (17219*s[48])/198 - 
       (193093*s[49])/198 + (42940*s[50])/33 + (112151*s[51])/198 + 
       (15053*s[52])/198 - (140917*s[53])/198 - (6445*s[54])/33 - 
       (188147*s[55])/66 - (207553*s[56])/198 + (1745573*s[57])/297 - 
       (2826481*s[58])/891 + (5326433*s[59])/1782 + (3589129*s[60])/297 - 
       (17362771*s[61])/32076 - 6*s[71] + 32*s[79] + 14*s[80] + 504*s[82]) + 
     D35[u, v, w]*((-3*s[2])/2 + (111*s[3])/4 + (2289*s[4])/8 + 
       (3623*s[5])/44 + (28073*s[6])/88 + (1643827*s[7])/528 - 
       (33125*s[8])/88 - (5037*s[9])/2 - (1301*s[10])/2 - 
       (621031*s[11])/176 - (90047*s[12])/22 - (1305431*s[13])/528 + 
       (31509*s[14])/176 - (62479*s[15])/16 - (170156*s[16])/33 - 
       (1862875*s[17])/528 - (4763*s[18])/9 - (35579*s[19])/72 - 
       (4469915*s[20])/792 - (2950385*s[21])/1584 + (283561*s[22])/176 + 
       (161215*s[23])/33 + (428305*s[24])/132 - (34013269*s[25])/7128 + 
       (16811929*s[26])/7128 - 4*s[29] + 3*s[30] - 2*s[31] - s[34] - 
       3*s[35] - 19*s[36] + (113*s[37])/6 + 142*s[38] - (1183*s[39])/2 + 
       (1257*s[40])/2 - (957*s[41])/2 + 860*s[42] + (9921*s[43])/22 - 
       (44383*s[44])/88 + (60685*s[45])/132 - (518965*s[46])/132 + 
       (71441*s[47])/264 - (22147*s[48])/264 - (565883*s[49])/264 + 
       (65173*s[50])/22 + (50019*s[51])/88 + (123403*s[52])/264 - 
       (205253*s[53])/99 + (3637*s[54])/66 - (1123807*s[55])/88 - 
       (2656295*s[56])/792 + (5958979*s[57])/1188 - (46334683*s[58])/7128 + 
       (47085121*s[59])/7128 + (5470103*s[60])/176 - (106234063*s[61])/
        64152 - s[65] - 4*s[66] + 6*s[67] + 2*s[68] + 10*s[69] + s[71] + 
       6*s[72] - 6*s[73] - (9*s[74])/2 + (9*s[75])/2 - 4*s[76] - 3*s[77] + 
       14*s[78] + 8*s[79] - s[80]/3 + 6*s[83]) + 
     HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - v]*(-24*s[2] - 481*s[3] - 
       (13371*s[4])/2 - (67381*s[5])/22 - (119987*s[6])/11 - 
       (31830701*s[7])/396 + (2749705*s[8])/297 + (3610555*s[9])/54 + 
       (725069*s[10])/54 + (35786657*s[11])/396 + (20870525*s[12])/198 + 
       (8533711*s[13])/132 + (1694123*s[14])/396 + (381637*s[15])/4 + 
       (1397063*s[16])/11 + (32614729*s[17])/396 + (3201713*s[18])/162 + 
       (274759*s[19])/162 + (273439855*s[20])/1782 + (200224379*s[21])/3564 - 
       (150088057*s[22])/3564 - (4733924*s[23])/33 - (65782396*s[24])/891 + 
       (3789170681*s[25])/32076 - (2069311469*s[26])/32076 - 84*s[28] + 
       52*s[30] + 8*s[31] - 166*s[32] - 12*s[33] + 24*s[34] + 12*s[35] + 
       (446*s[36])/3 - (2225*s[37])/3 - 3984*s[38] + (31703*s[39])/2 - 
       (109489*s[40])/6 + (27903*s[41])/2 - (144797*s[42])/6 - 
       (824303*s[43])/66 + (1776859*s[44])/132 - (791203*s[45])/66 + 
       (1131759*s[46])/11 - (3058949*s[47])/396 + (947845*s[48])/396 + 
       (19354751*s[49])/396 - (2384026*s[50])/33 - (6800707*s[51])/396 - 
       (5847973*s[52])/396 + (1659628*s[53])/33 - (179194*s[54])/11 + 
       (14124695*s[55])/44 + (40810417*s[56])/396 - (54383620*s[57])/297 + 
       (677340557*s[58])/3564 - (661298741*s[59])/3564 - 
       (1858556003*s[60])/2376 + (364612778*s[61])/8019 + 96*s[63] + 
       8*s[64] - 36*s[65] - 64*s[66] + 96*s[67] - 248*s[68] + 192*s[69] - 
       672*s[70] + 48*s[71] - 56*s[72] + 96*s[73] + 32*s[74] - 40*s[75] - 
       152*s[76] + 816*s[77] + 80*s[78] - 2104*s[79] + (1334*s[80])/3 + 
       4128*s[82] + 102*s[83] - 804*s[84]) + 
     HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - u]*(-344*s[2] - 419*s[3] - 
       (21329*s[4])/2 - (60781*s[5])/11 - (383225*s[6])/22 - 
       (58063007*s[7])/396 + (7768945*s[8])/594 + (3297265*s[9])/27 + 
       (868952*s[10])/27 + (64956319*s[11])/396 + (18458687*s[12])/99 + 
       (45676361*s[13])/396 + (3923803*s[14])/396 + (6514597*s[15])/36 + 
       (46964161*s[16])/198 + (22074359*s[17])/132 + (2336864*s[18])/81 + 
       (2676521*s[19])/162 + (496273715*s[20])/1782 + 
       (353755441*s[21])/3564 - (273700049*s[22])/3564 - 
       (39964097*s[23])/198 - (268880197*s[24])/1782 + 
       (1712033284*s[25])/8019 - (910904629*s[26])/8019 + 48*s[29] - 
       20*s[30] - 184*s[31] - 18*s[32] - 341*s[33] + 236*s[34] + 408*s[35] + 
       (1028*s[36])/3 - (1444*s[37])/3 - 6180*s[38] + 23470*s[39] - 
       (78602*s[40])/3 + 19960*s[41] - (102484*s[42])/3 - (607048*s[43])/33 + 
       (657691*s[44])/33 - (598837*s[45])/33 + (5118701*s[46])/33 - 
       (1110683*s[47])/99 + (113023*s[48])/99 + (7767755*s[49])/99 - 
       (3668548*s[50])/33 - (2384731*s[51])/99 - (2146345*s[52])/99 + 
       (7458937*s[53])/99 - (599422*s[54])/33 + (15738133*s[55])/33 + 
       (1580671*s[56])/11 - (23169665*s[57])/99 + (80334152*s[58])/297 - 
       (77754299*s[59])/297 - (358235950*s[60])/297 + (40271569*s[61])/594 + 
       12*s[64] + 12*s[65] - 224*s[68] + 8*s[69] - 288*s[70] + 60*s[71] - 
       32*s[72] - 40*s[73] + 124*s[74] - 116*s[75] + 228*s[76] + 372*s[77] - 
       224*s[78] - 2472*s[79] + (1516*s[80])/3 + 2*s[81] + 4128*s[82] + 
       102*s[83] - 804*s[84]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 
       1 - v]*(-48*s[2] + 93*s[3] - (2127*s[4])/2 - (19629*s[5])/11 - 
       (73847*s[6])/22 - (1810409*s[7])/66 + (55717*s[8])/33 + 
       (72215*s[9])/3 + (21769*s[10])/3 + (647413*s[11])/22 + 
       (680201*s[12])/22 + (609032*s[13])/33 + (70043*s[14])/11 + 
       (225487*s[15])/6 + (1510241*s[16])/33 + (2453633*s[17])/66 + 
       (17360*s[18])/3 + (16651*s[19])/6 + (1882015*s[20])/33 + 
       (4387841*s[21])/198 - (2884661*s[22])/198 - (934456*s[23])/33 - 
       (2909278*s[24])/99 + (32151094*s[25])/891 - (19267351*s[26])/891 - 
       48*s[29] + 6*s[30] - 48*s[31] - 6*s[32] - 48*s[33] + 42*s[34] - 
       30*s[35] - 73*s[36] - (301*s[37])/2 - 806*s[38] + (13587*s[39])/4 - 
       (15479*s[40])/4 + (11723*s[41])/4 - (19735*s[42])/4 - 
       (124853*s[43])/44 + (246359*s[44])/88 - (150371*s[45])/44 + 
       (284048*s[46])/11 - (119803*s[47])/88 + (20711*s[48])/88 + 
       (1028825*s[49])/88 - (211614*s[50])/11 - (310065*s[51])/88 - 
       (257095*s[52])/88 + (451922*s[53])/33 - (32957*s[54])/11 + 
       (23003863*s[55])/264 + (6452213*s[56])/264 - (2768848*s[57])/99 + 
       (99647257*s[58])/2376 - (99057901*s[59])/2376 - (36212983*s[60])/176 + 
       (121025759*s[61])/10692 - 12*s[65] - 48*s[66] + 72*s[67] + 18*s[68] + 
       126*s[69] + 36*s[70] + 12*s[71] + 24*s[72] - 72*s[73] - 9*s[74] + 
       9*s[75] + 60*s[76] - 60*s[77] + 84*s[78] - 504*s[79] + 95*s[80] + 
       312*s[82] + 36*s[83] - 216*s[84]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1, 1}, 1 - u]*(-65*s[2] + (201*s[3])/2 - 
       (4729*s[4])/4 - (21422*s[5])/11 - (157627*s[6])/44 - 
       (8006873*s[7])/264 + (709403*s[8])/396 + (239575*s[9])/9 + 
       (146557*s[10])/18 + (8599709*s[11])/264 + (2259679*s[12])/66 + 
       (1798505*s[13])/88 + (1843073*s[14])/264 + (994475*s[15])/24 + 
       (2230967*s[16])/44 + (10885063*s[17])/264 + (342229*s[18])/54 + 
       (359341*s[19])/108 + (74959201*s[20])/1188 + (58115207*s[21])/2376 - 
       (38290471*s[22])/2376 - (1332163*s[23])/44 - (38871677*s[24])/1188 + 
       (106521538*s[25])/2673 - (127229291*s[26])/5346 - 48*s[29] + 
       24*s[30] - 60*s[31] - (123*s[33])/2 + 72*s[34] + 30*s[35] - 78*s[36] - 
       (201*s[37])/2 - 911*s[38] + (7441*s[39])/2 - (8353*s[40])/2 + 
       3190*s[41] - 5364*s[42] - (67751*s[43])/22 + (135687*s[44])/44 - 
       (167557*s[45])/44 + (1253757*s[46])/44 - (200347*s[47])/132 + 
       (29003*s[48])/132 + (1700821*s[49])/132 - (234665*s[50])/11 - 
       (518435*s[51])/132 - (435485*s[52])/132 + (1981511*s[53])/132 - 
       (64393*s[54])/22 + (12645041*s[55])/132 + (1165463*s[56])/44 - 
       (989693*s[57])/33 + (1518566*s[58])/33 - (2004127*s[59])/44 - 
       (90145463*s[60])/396 + (89676247*s[61])/7128 + 3*s[62] - 12*s[65] - 
       48*s[66] + 72*s[67] + 18*s[68] + 126*s[69] + 18*s[70] + 15*s[71] + 
       24*s[72] - 72*s[73] - 6*s[74] + 6*s[75] + 36*s[76] - 42*s[77] + 
       72*s[78] - 480*s[79] + 99*s[80] + 312*s[82] + 36*s[83] - 216*s[84]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1}, 1 - w]*(-7*s[2] + (501*s[3])/2 - 
       (1615*s[4])/4 - (92723*s[5])/44 - (32072*s[6])/11 - 
       (2428675*s[7])/88 + (13679*s[8])/11 + (99691*s[9])/4 + 
       (32433*s[10])/4 + (2572737*s[11])/88 + (1321201*s[12])/44 + 
       (1564685*s[13])/88 + (717203*s[14])/88 + (911249*s[15])/24 + 
       (2013205*s[16])/44 + (3392109*s[17])/88 + (72109*s[18])/12 + 
       (33581*s[19])/12 + (7807391*s[20])/132 + (6241649*s[21])/264 - 
       (3916879*s[22])/264 - (971647*s[23])/44 - (1310807*s[24])/44 + 
       (27395003*s[25])/792 - (17173331*s[26])/792 - 48*s[29] + 24*s[30] - 
       84*s[31] - 3*s[32] - 48*s[33] + 96*s[34] + 42*s[35] - 61*s[36] - 
       (169*s[37])/2 - 898*s[38] + (12783*s[39])/4 - (14347*s[40])/4 + 
       (10583*s[41])/4 - (18075*s[42])/4 - (125769*s[43])/44 + 
       (221843*s[44])/88 - (157379*s[45])/44 + (276673*s[46])/11 - 
       (343421*s[47])/264 + (76801*s[48])/264 + (3048455*s[49])/264 - 
       (210180*s[50])/11 - (896999*s[51])/264 - (792601*s[52])/264 + 
       (440590*s[53])/33 - (23212*s[54])/11 + (7552569*s[55])/88 + 
       (6034409*s[56])/264 - (4398491*s[57])/198 + (94284829*s[58])/2376 - 
       (93398761*s[59])/2376 - (324245675*s[60])/1584 + 
       (118115123*s[61])/10692 - 12*s[65] - 48*s[66] + 72*s[67] + 144*s[69] + 
       12*s[71] + 24*s[72] - 72*s[73] - 9*s[74] + 9*s[75] + 60*s[76] - 
       60*s[77] + 84*s[78] - 360*s[79] + 35*s[80] + 816*s[82] + 36*s[83] - 
       216*s[84]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 1}, 1 - w]*
      (-105*s[2] + (579*s[3])/2 - (1045*s[4])/4 - (8623*s[5])/4 - 2882*s[6] - 
       (599827*s[7])/24 + (51461*s[8])/54 + (2443021*s[9])/108 + 
       (793037*s[10])/108 + (1880323*s[11])/72 + (946315*s[12])/36 + 
       (1091047*s[13])/72 + (615529*s[14])/72 + (2550583*s[15])/72 + 
       (1506317*s[16])/36 + (2603155*s[17])/72 + (1948871*s[18])/324 + 
       (568345*s[19])/324 + (17876753*s[20])/324 + (14985913*s[21])/648 - 
       (8682011*s[22])/648 - (772987*s[23])/36 - (8542783*s[24])/324 + 
       (174823363*s[25])/5832 - (117372691*s[26])/5832 - s[27] - 48*s[29] + 
       24*s[30] - 72*s[31] - (219*s[33])/2 + 68*s[34] + 12*s[35] - 
       (464*s[36])/3 - (415*s[37])/6 - 745*s[38] + (5691*s[39])/2 - 
       (19517*s[40])/6 + 2393*s[41] - (12353*s[42])/3 - (173359*s[43])/66 + 
       (305645*s[44])/132 - (420995*s[45])/132 + (3013159*s[46])/132 - 
       (463549*s[47])/396 + (135929*s[48])/396 + (3993379*s[49])/396 - 
       (562847*s[50])/33 - (1175309*s[51])/396 - (1076171*s[52])/396 + 
       (4876529*s[53])/396 - (148957*s[54])/66 + (3477117*s[55])/44 + 
       (938263*s[56])/44 - (2054035*s[57])/99 + (21444749*s[58])/594 - 
       (42959503*s[59])/1188 - (217051829*s[60])/1188 + (7991083*s[61])/792 - 
       12*s[65] - 48*s[66] + 72*s[67] + 144*s[69] + 9*s[71] + 24*s[72] - 
       72*s[73] - 15*s[74] + 15*s[75] + 48*s[76] - 60*s[77] + 108*s[78] - 
       408*s[79] + (221*s[80])/3 + 816*s[82] + 36*s[83] - 216*s[84]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 1 - u]*
      ((111*s[2])/2 - (531*s[3])/4 - (5319*s[4])/8 - (20811*s[5])/44 - 
       (117543*s[6])/88 - (5533831*s[7])/528 + (621491*s[8])/792 + 
       (321497*s[9])/36 + (44231*s[10])/18 + (6109397*s[11])/528 + 
       (850181*s[12])/66 + (4124575*s[13])/528 + (834197*s[14])/528 + 
       (626933*s[15])/48 + (557104*s[16])/33 + (2177557*s[17])/176 + 
       (261547*s[18])/108 + (188389*s[19])/216 + (49775449*s[20])/2376 + 
       (36243599*s[21])/4752 - (26108719*s[22])/4752 - (898189*s[23])/66 - 
       (12412531*s[24])/1188 + (157285055*s[25])/10692 - 
       (87676481*s[26])/10692 - 18*s[29] + 6*s[30] - 12*s[31] - 9*s[32] - 
       (45*s[33])/4 + 6*s[34] + 3*s[35] + 4*s[36] - 99*s[37] - 405*s[38] + 
       (6543*s[39])/4 - (7639*s[40])/4 + (5547*s[41])/4 - (9221*s[42])/4 - 
       (56225*s[43])/44 + (63131*s[44])/44 - (16449*s[45])/11 + 
       (519155*s[46])/44 - (72241*s[47])/132 - (14621*s[48])/66 + 
       (746263*s[49])/132 - (189193*s[50])/22 - (54476*s[51])/33 - 
       (101467*s[52])/66 + (372803*s[53])/66 - (34649*s[54])/22 + 
       (402118*s[55])/11 + (1469353*s[56])/132 - (6288679*s[57])/396 + 
       (23978519*s[58])/1188 - (11292907*s[59])/594 - (74687065*s[60])/792 + 
       (108267019*s[61])/21384 + 3*s[64] - 3*s[65] - 24*s[66] + 24*s[67] + 
       6*s[68] + 48*s[69] + 24*s[70] - 3*s[71] + 30*s[72] - 42*s[73] + 
       (15*s[74])/2 - (3*s[75])/2 + 6*s[76] - 27*s[77] + 54*s[78] - 
       312*s[79] + 126*s[80] + 36*s[82] + 18*s[83] - 144*s[84]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 1 - v]*
      (-27*s[2] + (105*s[3])/2 - (3471*s[4])/4 - (17379*s[5])/22 - 
       (80451*s[6])/44 - (4186331*s[7])/264 + (483023*s[8])/396 + 
       (246263*s[9])/18 + (70861*s[10])/18 + (4575491*s[11])/264 + 
       (1246909*s[12])/66 + (999575*s[13])/88 + (644711*s[14])/264 + 
       (165631*s[15])/8 + (1157873*s[16])/44 + (5325685*s[17])/264 + 
       (87452*s[18])/27 + (172153*s[19])/108 + (37785559*s[20])/1188 + 
       (28208429*s[21])/2376 - (20116117*s[22])/2376 - (869855*s[23])/44 - 
       (19349405*s[24])/1188 + (233818813*s[25])/10692 - 
       (132146029*s[26])/10692 - 6*s[27] - 3*s[28] - 24*s[29] - 6*s[30] - 
       30*s[31] + 6*s[32] - 75*s[33] + 24*s[34] - 18*s[35] + 14*s[36] - 
       69*s[37] - 564*s[38] + 2577*s[39] - 2981*s[40] + (4527*s[41])/2 - 
       (7613*s[42])/2 - (20509*s[43])/11 + (25462*s[44])/11 - 
       (21228*s[45])/11 + (189460*s[46])/11 - (69871*s[47])/66 + 
       (27677*s[48])/66 + (591577*s[49])/66 - (291245*s[50])/22 - 
       (86095*s[51])/33 - (72250*s[52])/33 + (295718*s[53])/33 - 
       (31411*s[54])/22 + (613986*s[55])/11 + (996901*s[56])/66 - 
       (4558639*s[57])/198 + (17084561*s[58])/594 - (8498977*s[59])/297 - 
       (54751405*s[60])/396 + (18447226*s[61])/2673 + 3*s[64] - 3*s[65] - 
       24*s[66] + 24*s[67] + 6*s[68] + 48*s[69] + 36*s[70] - 3*s[71] + 
       18*s[74] - 9*s[75] + 54*s[76] - 24*s[77] - 48*s[78] - 504*s[79] + 
       144*s[80] + 36*s[82] + 18*s[83] - 144*s[84]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      (14*s[2] - (129*s[3])/4 - (41813*s[4])/24 - (94403*s[5])/132 - 
       (589603*s[6])/264 - (34022345*s[7])/1584 + (5285861*s[8])/2376 + 
       (1918019*s[9])/108 + (128092*s[10])/27 + (38230745*s[11])/1584 + 
       (21701507*s[12])/792 + (2977053*s[13])/176 - (545425*s[14])/1584 + 
       (3951895*s[15])/144 + (1169594*s[16])/33 + (39739951*s[17])/1584 + 
       (267910*s[18])/81 + (2373943*s[19])/648 + (279444013*s[20])/7128 + 
       (187338353*s[21])/14256 - (160370761*s[22])/14256 - 
       (7923853*s[23])/264 - (165195527*s[24])/7128 + 
       (518787883*s[25])/16038 - (517452725*s[26])/32076 + 12*s[29] - 
       9*s[30] - s[32]/2 + (27*s[33])/2 + 21*s[34] + 33*s[35] + 107*s[36] - 
       90*s[37] - (6565*s[38])/6 + (48739*s[39])/12 - (52735*s[40])/12 + 
       (6753*s[41])/2 - (69743*s[42])/12 - (152827*s[43])/44 + 
       (238307*s[44])/66 - (117107*s[45])/33 + (3832045*s[46])/132 - 
       (374657*s[47])/264 - (46351*s[48])/264 + (4185337*s[49])/264 - 
       (738634*s[50])/33 - (3174509*s[51])/792 - (139757*s[52])/44 + 
       (683479*s[53])/44 - (19915*s[54])/132 + (76581077*s[55])/792 + 
       (6473215*s[56])/264 - (11535305*s[57])/396 + (108581195*s[58])/2376 - 
       (111486305*s[59])/2376 - (125041889*s[60])/528 + 
       (257631443*s[61])/21384 + 3*s[65] + 12*s[66] - 18*s[67] - 6*s[68] - 
       24*s[69] - 6*s[70] + 3*s[71] - 18*s[72] + 22*s[73] + (45*s[74])/2 - 
       (45*s[75])/2 + 12*s[76] + 3*s[77] - 36*s[78] - 192*s[79] - 6*s[80] + 
       247*s[82] - 9*s[83] - 126*s[84]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w]*((-37*s[2])/2 + (211*s[3])/2 - 851*s[4] - 
       (29439*s[5])/44 - (112457*s[6])/66 - (966301*s[7])/66 + 
       (345593*s[8])/297 + (1349689*s[9])/108 + (386015*s[10])/108 + 
       (3210407*s[11])/198 + (14198893*s[12])/792 + (8683679*s[13])/792 + 
       (1355663*s[14])/792 + 18693*s[15] + (19054223*s[16])/792 + 
       (7012105*s[17])/396 + (933269*s[18])/324 + (133144*s[19])/81 + 
       (25551487*s[20])/891 + (75999161*s[21])/7128 - (55501159*s[22])/7128 - 
       (7010885*s[23])/396 - (54973301*s[24])/3564 + (1319777717*s[25])/
        64152 - (732860807*s[26])/64152 - (3*s[27])/2 + 3*s[30] - 17*s[31] - 
       s[32] - (43*s[33])/4 + 29*s[34] + 7*s[35] + (229*s[36])/6 - 
       (259*s[37])/6 - (3925*s[38])/6 + (58733*s[39])/24 - (64457*s[40])/24 + 
       (17105*s[41])/8 - (28423*s[42])/8 - (576179*s[43])/264 + 
       (1147475*s[44])/528 - (139655*s[45])/66 + (4735393*s[46])/264 - 
       (1250885*s[47])/1584 - (454331*s[48])/1584 + (15005963*s[49])/1584 - 
       (447521*s[50])/33 - (3833195*s[51])/1584 - (3240685*s[52])/1584 + 
       (7359505*s[53])/792 - (29921*s[54])/44 + (92710243*s[55])/1584 + 
       (25209401*s[56])/1584 - (5753342*s[57])/297 + (410798947*s[58])/
        14256 - (413941441*s[59])/14256 - (1377879821*s[60])/9504 + 
       (962574835*s[61])/128304 - s[65] - 4*s[66] + 2*s[67] - s[68] + 
       5*s[69] - 4*s[70] + (9*s[71])/2 - 4*s[72] + 10*s[74] - 10*s[75] + 
       21*s[76] + 5*s[77] + 2*s[78] - 200*s[79] + 3*s[80] + 445*s[82] + 
       3*s[83] - 126*s[84]) + HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      (-9*s[2] + 105*s[3] + (2681*s[4])/6 - (2147*s[5])/22 + 
       (43251*s[6])/88 + (686737*s[7])/396 - (1583375*s[8])/2376 - 
       (173383*s[9])/216 + (34955*s[10])/108 - (3601397*s[11])/1584 - 
       (5290939*s[12])/1584 - (824143*s[13])/396 + (615271*s[14])/396 - 
       (7928*s[15])/9 - (1818647*s[16])/792 - (117763*s[17])/528 - 
       (280283*s[18])/648 + (2177*s[19])/648 - (3879281*s[20])/3564 + 
       (114445*s[21])/3564 + (4681385*s[22])/7128 + (11924411*s[23])/1584 + 
       (11960923*s[24])/14256 - (491772473*s[25])/128304 + 
       (175609673*s[26])/128304 - 3*s[28] - 24*s[29] + 12*s[30] - 24*s[31] - 
       12*s[33] + 12*s[34] - 12*s[35] - 58*s[36] + (41*s[37])/3 + 162*s[38] - 
       (11395*s[39])/12 + (10963*s[40])/12 - (2029*s[41])/3 + 
       (8303*s[42])/6 + (88301*s[43])/132 - (15305*s[44])/22 + 
       (73133*s[45])/132 - (123275*s[46])/22 + (226351*s[47])/396 - 
       (79297*s[48])/198 - (571643*s[49])/198 + (121112*s[50])/33 + 
       (105829*s[51])/132 + (306257*s[52])/396 - (1170701*s[53])/396 + 
       (11845*s[54])/11 - (6518327*s[55])/396 - (226949*s[56])/44 + 
       (1881431*s[57])/198 - (2895589*s[58])/297 + (11678263*s[59])/1188 + 
       (22686571*s[60])/594 - (18734071*s[61])/7128 - 12*s[65] - 24*s[66] + 
       24*s[67] + 24*s[68] + 54*s[69] + 12*s[71] + 24*s[72] - 24*s[73] - 
       12*s[74] + 12*s[75] + 6*s[76] - 12*s[77] + 72*s[78] - 156*s[79] + 
       8*s[80] - 84*s[82] + 27*s[83] - 90*s[84]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1, 1}, 1 - v]*(-30*s[2] + (333*s[3])/2 + 
       (1633*s[4])/12 - (6715*s[5])/44 + (5243*s[6])/88 - 
       (1291597*s[7])/792 - (789137*s[8])/2376 + (424121*s[9])/216 + 
       (119207*s[10])/108 + (2469523*s[11])/1584 + (1622909*s[12])/1584 + 
       (269639*s[13])/396 + (159211*s[14])/99 + (221387*s[15])/72 + 
       (1203641*s[16])/396 + (583895*s[17])/176 + (4141*s[18])/648 + 
       (399683*s[19])/648 + (17815351*s[20])/3564 + (6865225*s[21])/3564 - 
       (8097883*s[22])/7128 + (5791901*s[23])/1584 - (41549183*s[24])/14256 + 
       (169522729*s[25])/128304 - (142643293*s[26])/128304 - 30*s[29] + 
       12*s[30] - 24*s[31] + 9*s[32] - (57*s[33])/2 + 30*s[34] - 6*s[35] - 
       33*s[36] + (23*s[37])/2 + (145*s[38])/3 - (909*s[39])/2 + 
       (699*s[40])/2 - (3127*s[41])/12 + (8321*s[42])/12 + (13663*s[43])/66 - 
       (25939*s[44])/132 + (5288*s[45])/11 - (217225*s[46])/66 + 
       (38011*s[47])/99 - (122737*s[48])/198 - (96268*s[49])/99 + 
       (23753*s[50])/11 + (11723*s[51])/33 + (164717*s[52])/396 - 
       (388741*s[53])/198 + (7028*s[54])/11 - (372131*s[55])/33 - 
       (461891*s[56])/132 + (988285*s[57])/198 - (64698*s[58])/11 + 
       (2371507*s[59])/396 + (47737405*s[60])/2376 - (43045327*s[61])/21384 - 
       12*s[63] + 3*s[64] - 6*s[65] - 12*s[66] + 12*s[67] + 6*s[68] + 
       36*s[69] + 6*s[71] + 12*s[72] - 6*s[74] + 9*s[75] - 12*s[76] - 
       6*s[77] + 36*s[78] - 252*s[79] + 71*s[80] - 84*s[82] + 27*s[83] - 
       90*s[84]) + HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      (-20*s[2] + 155*s[3] + (93*s[4])/2 - (7033*s[5])/11 - (14279*s[6])/22 - 
       (298455*s[7])/44 - (27035*s[8])/198 + (59290*s[9])/9 + 
       (20396*s[10])/9 + (939643*s[11])/132 + (454081*s[12])/66 + 
       (551227*s[13])/132 + (412441*s[14])/132 + (40669*s[15])/4 + 
       (754433*s[16])/66 + (1345897*s[17])/132 + (75487*s[18])/54 + 
       (42191*s[19])/54 + (9514535*s[20])/594 + (8301859*s[21])/1188 - 
       (4528913*s[22])/1188 - (168391*s[23])/66 - (2429156*s[24])/297 + 
       (20601928*s[25])/2673 - (15248269*s[26])/2673 - 24*s[29] + 12*s[30] - 
       8*s[31] + s[32] + 22*s[33] + 12*s[34] - 12*s[35] - 60*s[36] + 
       (20*s[37])/3 - 234*s[38] + 338*s[39] - 492*s[40] + 392*s[41] - 
       372*s[42] - 546*s[43] + (511*s[44])/2 - (1358*s[45])/3 + 
       (7196*s[46])/3 - (43*s[47])/2 - (663*s[48])/2 + (2413*s[49])/2 - 
       1694*s[50] - (2737*s[51])/6 - (993*s[52])/2 + (7219*s[53])/9 - 
       (1822*s[54])/3 + 7584*s[55] + (41887*s[56])/18 - (209713*s[57])/54 + 
       (383197*s[58])/81 - (364891*s[59])/81 - (805967*s[60])/36 + 
       (1157051*s[61])/1458 + s[64] - 12*s[65] - 24*s[66] + 24*s[67] + 
       26*s[68] + 48*s[69] - 6*s[70] + 20*s[71] + 24*s[72] - 20*s[73] - 
       20*s[74] + 17*s[75] - 8*s[76] - 12*s[77] + 76*s[78] - 236*s[79] + 
       (16*s[80])/3 + 720*s[82] + 39*s[83] - 90*s[84]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 1 - u]*
      ((111*s[2])/4 - (563*s[3])/8 - (6403*s[4])/16 - (11619*s[5])/44 - 
       (128905*s[6])/176 - (2155229*s[7])/352 + (2203847*s[8])/4752 + 
       (140812*s[9])/27 + (316843*s[10])/216 + (21374891*s[11])/3168 + 
       (5932393*s[12])/792 + (14411501*s[13])/3168 + (2584751*s[14])/3168 + 
       (2237011*s[15])/288 + (1968695*s[16])/198 + (23272565*s[17])/3168 + 
       (213637*s[18])/162 + (828055*s[19])/1296 + (173609923*s[20])/14256 + 
       (124739489*s[21])/28512 - (91610581*s[22])/28512 - 
       (3076031*s[23])/396 - (44568619*s[24])/7128 + (1107763909*s[25])/
        128304 - (609401941*s[26])/128304 - 10*s[29] + 3*s[30] - 7*s[31] - 
       (9*s[32])/2 - (51*s[33])/8 + 5*s[34] + (3*s[35])/2 + (5*s[36])/2 - 
       (589*s[37])/12 - (467*s[38])/2 + (3621*s[39])/4 - (4191*s[40])/4 + 
       (1531*s[41])/2 - (5057*s[42])/4 - (32039*s[43])/44 + 
       (138801*s[44])/176 - (226889*s[45])/264 + (1745585*s[46])/264 - 
       (156811*s[47])/528 - (64015*s[48])/528 + (1679905*s[49])/528 - 
       (106861*s[50])/22 - (474839*s[51])/528 - (443573*s[52])/528 + 
       (1276769*s[53])/396 - (25340*s[54])/33 + (3679237*s[55])/176 + 
       (9794053*s[56])/1584 - (19791029*s[57])/2376 + 
       (159044057*s[58])/14256 - (151684667*s[59])/14256 - 
       (18714073*s[60])/352 + (363277523*s[61])/128304 + s[64] - 2*s[65] - 
       12*s[66] + 12*s[67] + 4*s[68] + 24*s[69] + 12*s[70] + 15*s[72] - 
       21*s[73] + (13*s[74])/4 - (3*s[75])/4 + 3*s[76] - (27*s[77])/2 + 
       27*s[78] - 160*s[79] + (335*s[80])/6 + 54*s[82] + 9*s[83] - 
       72*s[84]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 1 - v]*
      ((-27*s[2])/2 + 19*s[3] - (2009*s[4])/4 - (4760*s[5])/11 - 
       (44037*s[6])/44 - (96532*s[7])/11 + (206798*s[8])/297 + 
       (815239*s[9])/108 + (233441*s[10])/108 + (3797767*s[11])/396 + 
       (4143437*s[12])/396 + (1245713*s[13])/198 + (492061*s[14])/396 + 
       (207487*s[15])/18 + (1444162*s[16])/99 + (4428805*s[17])/396 + 
       (574991*s[18])/324 + (74830*s[19])/81 + (62446843*s[20])/3564 + 
       (23238421*s[21])/3564 - (4160492*s[22])/891 - (2202229*s[23])/198 - 
       (16100077*s[24])/1782 + (194782583*s[25])/16038 - 
       (219124219*s[26])/32076 - 3*s[27] - s[28] - 12*s[29] - 3*s[30] - 
       16*s[31] + (5*s[32])/2 - (75*s[33])/2 + 13*s[34] - 9*s[35] + 8*s[36] - 
       (229*s[37])/6 - 313*s[38] + (5657*s[39])/4 - (6489*s[40])/4 + 
       (4933*s[41])/4 - (8335*s[42])/4 - (45475*s[43])/44 + 
       (110089*s[44])/88 - (71077*s[45])/66 + (1249085*s[46])/132 - 
       (156455*s[47])/264 + (64843*s[48])/264 + (1292033*s[49])/264 - 
       (79877*s[50])/11 - (124607*s[51])/88 - (314383*s[52])/264 + 
       (1961149*s[53])/396 - (46697*s[54])/66 + (8160109*s[55])/264 + 
       (6608545*s[56])/792 - (7466227*s[57])/594 + (112656539*s[58])/7128 - 
       (112654649*s[59])/7128 - (119875735*s[60])/1584 + 
       (245957585*s[61])/64152 + s[64] - 2*s[65] - 12*s[66] + 12*s[67] + 
       4*s[68] + 24*s[69] + 18*s[70] - s[71] - 2*s[73] + (17*s[74])/2 - 
       5*s[75] + 27*s[76] - 12*s[77] - 24*s[78] - 252*s[79] + (206*s[80])/3 + 
       54*s[82] + 9*s[83] - 72*s[84]) + HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1, 1}, 1 - v]*(-12*s[2] + (93*s[3])/4 - 
       (2127*s[4])/8 - (19629*s[5])/44 - (73847*s[6])/88 - 
       (1810409*s[7])/264 + (55717*s[8])/132 + (72215*s[9])/12 + 
       (21769*s[10])/12 + (647501*s[11])/88 + (680201*s[12])/88 + 
       (152258*s[13])/33 + (70043*s[14])/44 + (225487*s[15])/24 + 
       (1510241*s[16])/132 + (2453633*s[17])/264 + (4340*s[18])/3 + 
       (16675*s[19])/24 + (1882015*s[20])/132 + (4387841*s[21])/792 - 
       (2884925*s[22])/792 - (233614*s[23])/33 - (1454639*s[24])/198 + 
       (16077395*s[25])/1782 - (19267483*s[26])/3564 - 12*s[29] + 
       (3*s[30])/2 - 12*s[31] - (3*s[32])/2 - 12*s[33] + (21*s[34])/2 - 
       (15*s[35])/2 - (73*s[36])/4 - (301*s[37])/8 - (403*s[38])/2 + 
       (13587*s[39])/16 - (15479*s[40])/16 + (11723*s[41])/16 - 
       (19735*s[42])/16 - (124853*s[43])/176 + (246359*s[44])/352 - 
       (150371*s[45])/176 + (71012*s[46])/11 - (119803*s[47])/352 + 
       (20711*s[48])/352 + (1028825*s[49])/352 - (105807*s[50])/22 - 
       (310065*s[51])/352 - (257095*s[52])/352 + (225961*s[53])/66 - 
       (32957*s[54])/44 + (23003863*s[55])/1056 + (6450101*s[56])/1056 - 
       (692212*s[57])/99 + (99647257*s[58])/9504 - (99057901*s[59])/9504 - 
       (36212983*s[60])/704 + (121027343*s[61])/42768 - 3*s[65] - 12*s[66] + 
       18*s[67] + (9*s[68])/2 + (63*s[69])/2 + 9*s[70] + 3*s[71] + 6*s[72] - 
       18*s[73] - (9*s[74])/4 + (9*s[75])/4 + 15*s[76] - 15*s[77] + 
       21*s[78] - 126*s[79] + (95*s[80])/4 + 78*s[82] + 9*s[83] - 54*s[84]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 1 - u]*
      ((-65*s[2])/4 + (201*s[3])/8 - (4729*s[4])/16 - (10711*s[5])/22 - 
       (157627*s[6])/176 - (8006873*s[7])/1056 + (709403*s[8])/1584 + 
       (239575*s[9])/36 + (146557*s[10])/72 + (8599709*s[11])/1056 + 
       (2259679*s[12])/264 + (1798505*s[13])/352 + (1843073*s[14])/1056 + 
       (994475*s[15])/96 + (2230967*s[16])/176 + (10885063*s[17])/1056 + 
       (342229*s[18])/216 + (359341*s[19])/432 + (74959201*s[20])/4752 + 
       (58115207*s[21])/9504 - (38290471*s[22])/9504 - (1332163*s[23])/176 - 
       (38871677*s[24])/4752 + (53260769*s[25])/5346 - 
       (127229291*s[26])/21384 - 12*s[29] + 6*s[30] - 15*s[31] - 
       (123*s[33])/8 + 18*s[34] + (15*s[35])/2 - (39*s[36])/2 - 
       (209*s[37])/8 - (911*s[38])/4 + (7441*s[39])/8 - (8353*s[40])/8 + 
       (1595*s[41])/2 - 1341*s[42] - (67751*s[43])/88 + (135687*s[44])/176 - 
       (167557*s[45])/176 + (1253757*s[46])/176 - (200347*s[47])/528 + 
       (29003*s[48])/528 + (1700821*s[49])/528 - (234665*s[50])/44 - 
       (518435*s[51])/528 - (435485*s[52])/528 + (1981511*s[53])/528 - 
       (64393*s[54])/88 + (12645041*s[55])/528 + (1165463*s[56])/176 - 
       (989693*s[57])/132 + (759283*s[58])/66 - (2004127*s[59])/176 - 
       (90145463*s[60])/1584 + (89714263*s[61])/28512 + (3*s[62])/4 - 
       3*s[65] - 12*s[66] + 18*s[67] + (9*s[68])/2 + (63*s[69])/2 + 
       (9*s[70])/2 + (15*s[71])/4 + 6*s[72] - 18*s[73] - (3*s[74])/2 + 
       (3*s[75])/2 + 9*s[76] - (21*s[77])/2 + 18*s[78] - 120*s[79] + 
       (99*s[80])/4 + 78*s[82] + 9*s[83] - 54*s[84]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1}, 1 - w]*
      ((-3*s[2])/4 + (501*s[3])/8 - (1831*s[4])/16 - (93635*s[5])/176 - 
       (16515*s[6])/22 - (7418633*s[7])/1056 + (42853*s[8])/132 + 
       (304001*s[9])/48 + (97891*s[10])/48 + (2625201*s[11])/352 + 
       (1353425*s[12])/176 + (4814551*s[13])/1056 + (712035*s[14])/352 + 
       (924529*s[15])/96 + (6145823*s[16])/528 + (10290167*s[17])/1056 + 
       (73405*s[18])/48 + (11255*s[19])/16 + (7937351*s[20])/528 + 
       (19010675*s[21])/3168 - (11962253*s[22])/3168 - (3030277*s[23])/528 - 
       (12003751*s[24])/1584 + (252205715*s[25])/28512 - 
       (157556747*s[26])/28512 - 12*s[29] + 6*s[30] - 21*s[31] - 
       (3*s[32])/4 - 12*s[33] + 24*s[34] + (21*s[35])/2 - (61*s[36])/4 - 
       (169*s[37])/8 - (461*s[38])/2 + (13119*s[39])/16 - (14747*s[40])/16 + 
       (10871*s[41])/16 - (18571*s[42])/16 - (11691*s[43])/16 + 
       (20745*s[44])/32 - (14713*s[45])/16 + (25771*s[46])/4 - 
       (10765*s[47])/32 + (2385*s[48])/32 + (94231*s[49])/32 - 4866*s[50] - 
       (27799*s[51])/32 - (24649*s[52])/32 + (20441*s[53])/6 - 564*s[54] + 
       (2104177*s[55])/96 + (564235*s[56])/96 - (419317*s[57])/72 + 
       (8824295*s[58])/864 - (8727851*s[59])/864 - (10040891*s[60])/192 + 
       (11025457*s[61])/3888 - 3*s[65] - 12*s[66] + 18*s[67] + 36*s[69] + 
       3*s[71] + 6*s[72] - 18*s[73] - (9*s[74])/4 + (9*s[75])/4 + 15*s[76] - 
       15*s[77] + 21*s[78] - 90*s[79] + (35*s[80])/4 + 192*s[82] + 9*s[83] - 
       54*s[84]) + HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1}, 1 - w]*
      ((-69*s[2])/4 + (579*s[3])/8 - (1261*s[4])/16 - (97833*s[5])/176 - 
       (32649*s[6])/44 - (2263691*s[7])/352 + (631121*s[8])/2376 + 
       (2508953*s[9])/432 + (811561*s[10])/432 + (21335689*s[11])/3168 + 
       (10771069*s[12])/1584 + (12405421*s[13])/3168 + (6813715*s[14])/3168 + 
       (2620415*s[15])/288 + (17063495*s[16])/1584 + (29451073*s[17])/3168 + 
       (2000587*s[18])/1296 + (621449*s[19])/1296 + (201608195*s[20])/14256 + 
       (169134091*s[21])/28512 - (98030057*s[22])/28512 - 
       (8973649*s[23])/1584 - (96925045*s[24])/14256 + 
       (1989192757*s[25])/256608 - (1332819445*s[26])/256608 + (3*s[27])/4 - 
       12*s[29] + 6*s[30] - 12*s[31] - (111*s[33])/8 + 9*s[34] + 3*s[35] - 
       (103*s[36])/3 - (467*s[37])/24 - (769*s[38])/4 + (5913*s[39])/8 - 
       (20287*s[40])/24 + 623*s[41] - (6431*s[42])/6 - (178949*s[43])/264 + 
       (318319*s[44])/528 - (438127*s[45])/528 + (3122927*s[46])/528 - 
       (488699*s[47])/1584 + (147343*s[48])/1584 + (4135181*s[49])/1584 - 
       (581263*s[50])/132 - (1217191*s[51])/1584 - (1112257*s[52])/1584 + 
       (5048617*s[53])/1584 - (159461*s[54])/264 + (10795877*s[55])/528 + 
       (2928311*s[56])/528 - (2148955*s[57])/396 + (1237169*s[58])/132 - 
       (14888099*s[59])/1584 - (112262417*s[60])/2376 + 
       (224898185*s[61])/85536 - 3*s[65] - 12*s[66] + 18*s[67] + 36*s[69] + 
       (9*s[71])/4 + 6*s[72] - 18*s[73] - (15*s[74])/4 + (15*s[75])/4 + 
       6*s[76] - 15*s[77] + 27*s[78] - 102*s[79] + (313*s[80])/12 + 
       192*s[82] + 9*s[83] - 54*s[84]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1, 0, 1}, 1 - u]*(-3*s[2] + 35*s[3] + (603*s[4])/4 - 
       (1733*s[5])/44 + (14865*s[6])/88 + (66449*s[7])/132 - 
       (18749*s[8])/88 - (1595*s[9])/8 + (577*s[10])/4 - (120103*s[11])/176 - 
       (183897*s[12])/176 - (43607*s[13])/66 + (5911*s[14])/11 - 
       (1651*s[15])/12 - (160427*s[16])/264 + (48091*s[17])/528 - 
       (10595*s[18])/72 + (2783*s[19])/72 - (76481*s[20])/396 + 
       (5594*s[21])/99 + (46625*s[22])/264 + (1325711*s[23])/528 + 
       (85471*s[24])/528 - (16771105*s[25])/14256 + (5893057*s[26])/14256 - 
       s[28] - 8*s[29] + 4*s[30] - 8*s[31] - 4*s[33] + 4*s[34] - 
       (9*s[35])/2 - (35*s[36])/2 + (10*s[37])/3 + 54*s[38] - (627*s[39])/2 + 
       (603*s[40])/2 - (909*s[41])/4 + 452*s[42] + (2429*s[43])/11 - 
       (19847*s[44])/88 + (5542*s[45])/33 - (118187*s[46])/66 + 
       (49055*s[47])/264 - (35557*s[48])/264 - (243437*s[49])/264 + 
       (12514*s[50])/11 + (65243*s[51])/264 + (70915*s[52])/264 - 
       (362525*s[53])/396 + (13610*s[54])/33 - (444753*s[55])/88 - 
       (1321523*s[56])/792 + (3985459*s[57])/1188 - (22875211*s[58])/7128 + 
       (22731733*s[59])/7128 + (2091973*s[60])/176 - (54204055*s[61])/64152 - 
       4*s[65] - 8*s[66] + 8*s[67] + 8*s[68] + 18*s[69] + 4*s[71] + 8*s[72] - 
       8*s[73] - 4*s[74] + 4*s[75] + 2*s[76] - 4*s[77] + 24*s[78] - 
       52*s[79] + (8*s[80])/3 - 54*s[82] + 9*s[83] - 30*s[84]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 0, 1}, 1 - v]*(-10*s[2] + (111*s[3])/2 + 
       (81*s[4])/2 - (335*s[5])/22 + (5437*s[6])/88 - (72097*s[7])/264 - 
       (275335*s[8])/2376 + (85681*s[9])/216 + (15293*s[10])/54 + 
       (395111*s[11])/1584 + (146491*s[12])/1584 + (71539*s[13])/792 + 
       (317533*s[14])/792 + (45119*s[15])/72 + (429601*s[16])/792 + 
       (1030343*s[17])/1584 - (72973*s[18])/648 + (154105*s[19])/648 + 
       (1824145*s[20])/1782 + (2223457*s[21])/7128 - (209479*s[22])/891 + 
       (2500937*s[23])/1584 - (10846087*s[24])/14256 + 
       (22615685*s[25])/128304 - (16075061*s[26])/128304 - 10*s[29] + 
       4*s[30] - 8*s[31] + 3*s[32] - (19*s[33])/2 + 10*s[34] - 2*s[35] - 
       11*s[36] + (23*s[37])/6 + (45*s[38])/2 - (775*s[39])/4 + 
       (635*s[40])/4 - (259*s[41])/2 + (1195*s[42])/4 + (3931*s[43])/44 - 
       (3863*s[44])/44 + (24919*s[45])/132 - (90281*s[46])/66 + 
       (3297*s[47])/22 - (11149*s[48])/44 - (9055*s[49])/22 + 
       (20233*s[50])/22 + (6763*s[51])/44 + (2030*s[52])/11 - 
       (318341*s[53])/396 + (8507*s[54])/33 - (612361*s[55])/132 - 
       (565165*s[56])/396 + (2685829*s[57])/1188 - (8911673*s[58])/3564 + 
       (4495081*s[59])/1782 + (838621*s[60])/99 - (51818413*s[61])/64152 - 
       4*s[63] + s[64] - 2*s[65] - 4*s[66] + 4*s[67] + 2*s[68] + 12*s[69] + 
       2*s[71] + 4*s[72] - 2*s[74] + 3*s[75] - 4*s[76] - 2*s[77] + 12*s[78] - 
       84*s[79] + (71*s[80])/3 - 54*s[82] + 9*s[83] - 30*s[84]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 1 - u]*
      ((37*s[2])/4 - (209*s[3])/8 - (2921*s[4])/16 - (2429*s[5])/22 - 
       (52655*s[6])/176 - (8549047*s[7])/3168 + (986209*s[8])/4752 + 
       (247943*s[9])/108 + (143519*s[10])/216 + (9400033*s[11])/3168 + 
       (2595821*s[12])/792 + (2111845*s[13])/1056 + (967045*s[14])/3168 + 
       (336835*s[15])/96 + (292397*s[16])/66 + (10498151*s[17])/3168 + 
       (169453*s[18])/324 + (463157*s[19])/1296 + (75997841*s[20])/14256 + 
       (53785603*s[21])/28512 - (40413239*s[22])/28512 - (435703*s[23])/132 - 
       (20313401*s[24])/7128 + (491018489*s[25])/128304 - 
       (265930145*s[26])/128304 - 4*s[29] + s[30] - 3*s[31] - (3*s[32])/2 - 
       (21*s[33])/8 + 3*s[34] + s[35]/2 + (7*s[36])/6 - (193*s[37])/12 - 
       (201*s[38])/2 + 368*s[39] - (2515*s[40])/6 + (1245*s[41])/4 - 
       (3047*s[42])/6 - (10303*s[43])/33 + (168631*s[44])/528 - 
       (97409*s[45])/264 + (728395*s[46])/264 - (184109*s[47])/1584 - 
       (80885*s[48])/1584 + (2115119*s[49])/1584 - (134855*s[50])/66 - 
       (566101*s[51])/1584 - (529015*s[52])/1584 + (547531*s[53])/396 - 
       (16757*s[54])/66 + (4743743*s[55])/528 + (1347787*s[56])/528 - 
       (815027*s[57])/264 + (21613039*s[58])/4752 - (21039025*s[59])/4752 - 
       (212555135*s[60])/9504 + (50389991*s[61])/42768 - s[65] - 4*s[66] + 
       4*s[67] + 2*s[68] + 8*s[69] + 4*s[70] + s[71] + 5*s[72] - 7*s[73] + 
       (3*s[74])/4 - s[75]/4 + s[76] - (9*s[77])/2 + 9*s[78] - 56*s[79] + 
       (83*s[80])/6 + 42*s[82] + 3*s[83] - 24*s[84]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 1 - v]*
      ((-9*s[2])/2 + (3*s[3])/2 - 217*s[4] - (3727*s[5])/22 - 
       (4371*s[6])/11 - (2793937*s[7])/792 + (116615*s[8])/396 + 
       (108535*s[9])/36 + (30833*s[10])/36 + (339447*s[11])/88 + 
       (556781*s[12])/132 + (2014487*s[13])/792 + (37551*s[14])/88 + 
       (336391*s[15])/72 + (2328109*s[16])/396 + (3565981*s[17])/792 + 
       (24961*s[18])/36 + (14593*s[19])/36 + (690752*s[20])/99 + 
       (6122647*s[21])/2376 - (4434373*s[22])/2376 - (1810007*s[23])/396 - 
       (4346591*s[24])/1188 + (52601609*s[25])/10692 - 
       (14635207*s[26])/5346 - s[27] - 4*s[29] - s[30] - 6*s[31] + s[32]/2 - 
       (25*s[33])/2 + 5*s[34] - 3*s[35] + (10*s[36])/3 - (91*s[37])/6 - 
       127*s[38] + (2237*s[39])/4 - (7591*s[40])/12 + (1931*s[41])/4 - 
       (9851*s[42])/12 - (55181*s[43])/132 + (127891*s[44])/264 - 
       (28885*s[45])/66 + (497053*s[46])/132 - (189749*s[47])/792 + 
       (79597*s[48])/792 + (1528271*s[49])/792 - (95015*s[50])/33 - 
       (436267*s[51])/792 - (368053*s[52])/792 + (787253*s[53])/396 - 
       (8006*s[54])/33 + (3289009*s[55])/264 + (886979*s[56])/264 - 
       (971869*s[57])/198 + (1658417*s[58])/264 - (5016173*s[59])/792 - 
       (142507997*s[60])/4752 + (33246151*s[61])/21384 - s[65] - 4*s[66] + 
       4*s[67] + 2*s[68] + 8*s[69] + 6*s[70] - 2*s[73] + (5*s[74])/2 - 
       2*s[75] + 9*s[76] - 4*s[77] - 8*s[78] - 84*s[79] + (62*s[80])/3 + 
       42*s[82] + 3*s[83] - 24*s[84]) + HPL[{1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]^2*(-21*s[2] + (45*s[3])/2 + (75*s[4])/4 - 
       159*s[5] - 187*s[6] - (119629*s[7])/72 + (257*s[8])/108 + 
       (167423*s[9])/108 + (14653*s[10])/27 + (15148*s[11])/9 + 
       (114547*s[12])/72 + (67465*s[13])/72 + (54527*s[14])/72 + 
       (179119*s[15])/72 + (101075*s[16])/36 + (7874*s[17])/3 + 
       (31867*s[18])/81 + (30953*s[19])/324 + (1251175*s[20])/324 + 
       (1063823*s[21])/648 - (587689*s[22])/648 - (40303*s[23])/36 - 
       (1128091*s[24])/648 + (10752425*s[25])/5832 - (7672931*s[26])/5832 - 
       (3*s[27])/4 - 4*s[29] + 2*s[30] - 14*s[31] - 19*s[33] + 22*s[34] + 
       3*s[35] - (27*s[36])/4 + (5*s[37])/6 - (187*s[38])/4 + 
       (2229*s[39])/16 - (2641*s[40])/16 + (1899*s[41])/16 - 
       (3075*s[42])/16 - (21203*s[43])/176 + (32445*s[44])/352 - 
       (17029*s[45])/88 + (215747*s[46])/176 - (60127*s[47])/1056 + 
       (62435*s[48])/1056 + (446581*s[49])/1056 - (20291*s[50])/22 - 
       (147833*s[51])/1056 - (166151*s[52])/1056 + (121343*s[53])/176 - 
       (18187*s[54])/88 + (4865053*s[55])/1056 + (1357847*s[56])/1056 - 
       (681965*s[57])/792 + (18431161*s[58])/9504 - (18548755*s[59])/9504 - 
       (62503183*s[60])/6336 + (48430381*s[61])/85536 - s[65] - 4*s[66] + 
       6*s[67] + 12*s[69] + (7*s[71])/4 + 2*s[72] - 6*s[73] - s[74] + s[75] + 
       12*s[76] - 5*s[77] + 8*s[78] - 32*s[79] - 10*s[80] + 114*s[82] + 
       3*s[83] - 18*s[84]) + HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]^2*
      ((-45*s[2])/4 + (45*s[3])/2 + 24*s[4] - (1730*s[5])/11 - 
       (3947*s[6])/22 - (2279743*s[7])/1584 + (6119*s[8])/264 + 
       (4099*s[9])/3 + (2633*s[10])/6 + (769453*s[11])/528 + 
       (60737*s[12])/44 + (1286405*s[13])/1584 + (380797*s[14])/528 + 
       (298129*s[15])/144 + (232931*s[16])/99 + (3486697*s[17])/1584 + 
       (41825*s[18])/108 + (1691*s[19])/54 + (1982591*s[20])/594 + 
       (6981209*s[21])/4752 - (1235887*s[22])/1584 - (738413*s[23])/792 - 
       (1156471*s[24])/792 + (33687679*s[25])/21384 - 
       (25197619*s[26])/21384 - 4*s[29] + 2*s[30] - 6*s[31] - s[32]/2 - 
       (13*s[33])/4 + 6*s[34] + 2*s[35] - (37*s[36])/6 - (23*s[37])/4 - 
       (77*s[38])/2 + (1103*s[39])/8 - (4013*s[40])/24 + (949*s[41])/8 - 
       (4537*s[42])/24 - (35623*s[43])/264 + (53003*s[44])/528 - 
       (44119*s[45])/264 + (148927*s[46])/132 - (102673*s[47])/1584 + 
       (69521*s[48])/1584 + (633883*s[49])/1584 - (103889*s[50])/132 - 
       (238091*s[51])/1584 - (243269*s[52])/1584 + (58544*s[53])/99 - 
       (34349*s[54])/132 + (690803*s[55])/176 + (619547*s[56])/528 - 
       (279695*s[57])/264 + (8729783*s[58])/4752 - (8568551*s[59])/4752 - 
       (82960267*s[60])/9504 + (1357612*s[61])/2673 - s[65] - 4*s[66] + 
       6*s[67] + 12*s[69] + s[71] + 2*s[72] - 6*s[73] - s[74] + s[75] + 
       4*s[76] - 5*s[77] + 8*s[78] - 32*s[79] + (31*s[80])/6 + 114*s[82] + 
       3*s[83] - 18*s[84]) + D33[w, u, v]*((-9*s[2])/4 + (65*s[3])/8 + 
       (1519*s[4])/16 + (881*s[5])/88 + (14215*s[6])/176 + 
       (312167*s[7])/352 - (493201*s[8])/4752 - (77471*s[9])/108 - 
       (21133*s[10])/108 - (3173905*s[11])/3168 - (459541*s[12])/396 - 
       (2244043*s[13])/3168 + (258107*s[14])/3168 - (327521*s[15])/288 - 
       (584849*s[16])/396 - (3167455*s[17])/3168 - (10717*s[18])/81 - 
       (212453*s[19])/1296 - (22731737*s[20])/14256 - 
       (13992199*s[21])/28512 + (13206911*s[22])/28512 + (137677*s[23])/99 + 
       (6750263*s[24])/7128 - (176726999*s[25])/128304 + 
       (83677835*s[26])/128304 + s[30]/2 + s[33] - s[34]/2 - s[35]/2 - 
       (9*s[36])/2 + (59*s[37])/12 + (73*s[38])/2 - (315*s[39])/2 + 
       175*s[40] - (555*s[41])/4 + (467*s[42])/2 + (2691*s[43])/22 - 
       (25163*s[44])/176 + (29629*s[45])/264 - (277003*s[46])/264 + 
       (10971*s[47])/176 - (1965*s[48])/176 - (103137*s[49])/176 + 
       (18131*s[50])/22 + (84737*s[51])/528 + (21753*s[52])/176 - 
       (54928*s[53])/99 - (577*s[54])/66 - (1815853*s[55])/528 - 
       (1382039*s[56])/1584 + (3090625*s[57])/2376 - (24383395*s[58])/14256 + 
       (24812209*s[59])/14256 + (27004159*s[60])/3168 - 
       (52981585*s[61])/128304 + s[67] + s[69] - s[70] + s[72] - s[73] - 
       (5*s[74])/4 + (5*s[75])/4 - s[77]/2 + 3*s[78] + 20*s[79] - 
       (31*s[80])/6 + 6*s[84]) + D33[v, w, u]*((7*s[2])/4 - (79*s[3])/8 + 
       (1181*s[4])/16 + (3363*s[5])/44 + (27295*s[6])/176 + 
       (507343*s[7])/352 - (510733*s[8])/4752 - (67081*s[9])/54 - 
       (80003*s[10])/216 - (5053357*s[11])/3168 - (1385093*s[12])/792 - 
       (3346723*s[13])/3168 - (642649*s[14])/3168 - (540809*s[15])/288 - 
       (1905133*s[16])/792 - (5795419*s[17])/3168 - (87049*s[18])/324 - 
       (253241*s[19])/1296 - (41084249*s[20])/14256 - 
       (30719815*s[21])/28512 + (21962219*s[22])/28512 + 
       (1288085*s[23])/792 + (2776973*s[24])/1782 - (257166713*s[25])/
        128304 + (144117353*s[26])/128304 + s[31] - s[32]/2 - s[33]/8 - 
       2*s[34] - s[35]/2 - (11*s[36])/2 + (95*s[37])/12 + (121*s[38])/2 - 
       235*s[39] + (517*s[40])/2 - (797*s[41])/4 + 338*s[42] + 
       (2102*s[43])/11 - (36935*s[44])/176 + (47869*s[45])/264 - 
       (416839*s[46])/264 + (48229*s[47])/528 - (875*s[48])/528 - 
       (468175*s[49])/528 + (26525*s[50])/22 + (122285*s[51])/528 + 
       (99167*s[52])/528 - (80479*s[53])/99 + (635*s[54])/66 - 
       (2684657*s[55])/528 - (2093603*s[56])/1584 + (4687777*s[57])/2376 - 
       (37024519*s[58])/14256 + (37353325*s[59])/14256 + 
       (40609379*s[60])/3168 - (81401437*s[61])/128304 + 2*s[63] + s[67] + 
       s[68] - s[69] + s[72] - s[73] - (5*s[74])/4 + (5*s[75])/4 + s[77]/2 + 
       3*s[78] + 20*s[79] - (31*s[80])/6 + 6*s[84]) + 
     B8[v, w, u]*HPL[{1}, 1 - u]*((7*s[2])/4 - (79*s[3])/8 + (901*s[4])/16 + 
       (647*s[5])/11 + (20643*s[6])/176 + (1167493*s[7])/1056 - 
       (128435*s[8])/1584 - (17219*s[9])/18 - (20683*s[10])/72 - 
       (1287095*s[11])/1056 - (350821*s[12])/264 - (844897*s[13])/1056 - 
       (171539*s[14])/1056 - (139459*s[15])/96 - (488569*s[16])/264 - 
       (501651*s[17])/352 - (11101*s[18])/54 - (64963*s[19])/432 - 
       (10545547*s[20])/4752 - (7894229*s[21])/9504 + (5633161*s[22])/9504 + 
       (327497*s[23])/264 + (1414427*s[24])/1188 - (65295589*s[25])/42768 + 
       (36676165*s[26])/42768 + s[31] - s[32]/2 + (5*s[33])/8 - 2*s[34] - 
       s[35]/2 - (9*s[36])/2 + (23*s[37])/4 + (89*s[38])/2 - 180*s[39] + 
       (397*s[40])/2 - (621*s[41])/4 + (525*s[42])/2 + (1561*s[43])/11 - 
       (28383*s[44])/176 + (11947*s[45])/88 - (106097*s[46])/88 + 
       (38077*s[47])/528 - (4163*s[48])/528 - (354559*s[49])/528 + 
       (20511*s[50])/22 + (95581*s[51])/528 + (75359*s[52])/528 - 
       (20723*s[53])/33 - (109*s[54])/22 - (688931*s[55])/176 - 
       (176971*s[56])/176 + (397807*s[57])/264 - (348303*s[58])/176 + 
       (1056535*s[59])/528 + (30969139*s[60])/3168 - (6864317*s[61])/14256 - 
       s[66] + s[67] + s[69] + s[72] - s[73] - (5*s[74])/4 + (5*s[75])/4 - 
       s[77]/2 + s[78] + 18*s[79] - (9*s[80])/2 + 6*s[84]) + 
     B8[u, v, w]*HPL[{1}, 1 - v]*(-2*s[3] + 15*s[4] + (37*s[5])/22 + 
       (347*s[6])/22 + (5497*s[7])/33 - (4768*s[8])/297 - (3797*s[9])/27 - 
       (1036*s[10])/27 - (37915*s[11])/198 - (43985*s[12])/198 - 
       (13964*s[13])/99 + (1169*s[14])/198 - (3647*s[15])/18 - 
       (26855*s[16])/99 - (34963*s[17])/198 - (6565*s[18])/324 - 
       (4999*s[19])/162 - (271079*s[20])/891 - (85322*s[21])/891 + 
       (80923*s[22])/891 + (86557*s[23])/396 + (165754*s[24])/891 - 
       (4147975*s[25])/16038 + (1003793*s[26])/8019 - s[32]/2 - 2*s[36] + 
       (5*s[37])/3 + 8*s[38] - 32*s[39] + 38*s[40] - 30*s[41] + 47*s[42] + 
       (320*s[43])/11 - (347*s[44])/11 + (551*s[45])/33 - (6239*s[46])/33 + 
       (298*s[47])/33 + (166*s[48])/33 - (4249*s[49])/33 + (1652*s[50])/11 + 
       (357*s[51])/11 + (854*s[52])/33 - (9067*s[53])/99 - (95*s[54])/33 - 
       (6294*s[55])/11 - (14354*s[56])/99 + (174511*s[57])/594 - 
       (286399*s[58])/891 + (289018*s[59])/891 + (159679*s[60])/99 - 
       (514951*s[61])/8019 - 2*s[73] + 8*s[79] - (8*s[80])/3 + 6*s[84]) + 
     D33[u, v, w]*(31*s[4] + (215*s[5])/11 + (592*s[6])/11 + 
       (32003*s[7])/66 - (11983*s[8])/297 - (11090*s[9])/27 - 
       (3166*s[10])/27 - (108751*s[11])/198 - (123089*s[12])/198 - 
       (38141*s[13])/99 - (7207*s[14])/198 - (10847*s[15])/18 - 
       (157423*s[16])/198 - (110587*s[17])/198 - (13685*s[18])/162 - 
       (11791*s[19])/162 - (833708*s[20])/891 - (297887*s[21])/891 + 
       (229789*s[22])/891 + (115277*s[23])/198 + (473821*s[24])/891 - 
       (11410783*s[25])/16038 + (6092575*s[26])/16038 - 2*s[36] + 
       (11*s[37])/3 + 24*s[38] - (165*s[39])/2 + (185*s[40])/2 - 
       (137*s[41])/2 + (229*s[42])/2 + (1623*s[43])/22 - (3317*s[44])/44 + 
       (2159*s[45])/33 - (36235*s[46])/66 + (3587*s[47])/132 + 
       (1673*s[48])/132 - (42881*s[49])/132 + (4505*s[50])/11 + 
       (10289*s[51])/132 + (8983*s[52])/132 - (26530*s[53])/99 + 
       (430*s[54])/33 - (225781*s[55])/132 - (181961*s[56])/396 + 
       (212426*s[57])/297 - (3272635*s[58])/3564 + (3260701*s[59])/3564 + 
       (399011*s[60])/88 - (7009747*s[61])/32076 + s[68] - s[69] + s[77] + 
       8*s[79] - (8*s[80])/3 + 6*s[84]) + HPL[{0, 1}, 1 - v]*M1[w, u, v]*
      ((9*s[2])/2 - (131*s[3])/4 + (373*s[4])/4 + (12509*s[5])/88 + 
       (12393*s[6])/44 + (1835473*s[7])/792 - (84385*s[8])/594 - 
       (440795*s[9])/216 - (124171*s[10])/216 - (998629*s[11])/396 - 
       (4281053*s[12])/1584 - (2627063*s[13])/1584 - (736447*s[14])/1584 - 
       (220049*s[15])/72 - (6008417*s[16])/1584 - (776731*s[17])/264 - 
       (313141*s[18])/648 - (32501*s[19])/162 - (16758349*s[20])/3564 - 
       (26438809*s[21])/14256 + (17766587*s[22])/14256 + 
       (1988585*s[23])/792 + (8596151*s[24])/3564 - (397538929*s[25])/
        128304 + (236919043*s[26])/128304 + 2*s[29] + s[30]/2 + 5*s[31] + 
       (33*s[33])/8 - (17*s[34])/2 - 3*s[35] - (19*s[36])/3 + 4*s[37] + 
       100*s[38] - (1491*s[39])/4 + (4957*s[40])/12 - (675*s[41])/2 + 
       (12967*s[42])/24 + (46451*s[43])/132 - (177965*s[44])/528 + 
       (15247*s[45])/44 - (94112*s[46])/33 + (170041*s[47])/1584 + 
       (97837*s[48])/1584 - (2340457*s[49])/1584 + (285545*s[50])/132 + 
       (592703*s[51])/1584 + (494537*s[52])/1584 - (1195883*s[53])/792 + 
       (19867*s[54])/132 - (1685741*s[55])/176 - (4068811*s[56])/1584 + 
       (6197597*s[57])/2376 - (63509537*s[58])/14256 + 
       (64853309*s[59])/14256 + (221030707*s[60])/9504 - 
       (9609155*s[61])/8019 + s[65]/2 + s[66] - 2*s[67] - s[68] - 3*s[69] - 
       2*s[70] - (3*s[71])/2 + 2*s[73] - s[74] + s[75] - 4*s[76] + 3*s[77] + 
       36*s[79] + 3*s[80] - 84*s[82] - (3*s[83])/2 + 21*s[84]) + 
     HPL[{0, 1}, 1 - w]*M1[w, u, v]*((-5*s[2])/2 + (79*s[3])/4 + 395*s[4] + 
       (4761*s[5])/44 + (19313*s[6])/44 + (750083*s[7])/176 - 
       (1132429*s[8])/2376 - (94138*s[9])/27 - (189493*s[10])/216 - 
       (3805661*s[11])/792 - (4386067*s[12])/792 - (1345537*s[13])/396 + 
       (21968*s[14])/99 - (772811*s[15])/144 - (11063377*s[16])/1584 - 
       (942311*s[17])/198 - (450475*s[18])/648 - (215899*s[19])/324 - 
       (27411301*s[20])/3564 - (17851217*s[21])/7128 + 
       (15840811*s[22])/7128 + (10383749*s[23])/1584 + 
       (63646691*s[24])/14256 - (837257209*s[25])/128304 + 
       (410092621*s[26])/128304 - 2*s[29] + (5*s[30])/2 + s[31] + s[32] + 
       (29*s[33])/8 - (9*s[34])/2 - 5*s[35] - (61*s[36])/3 + 17*s[37] + 
       202*s[38] - 796*s[39] + (2605*s[40])/3 - 675*s[41] + 
       (13841*s[42])/12 + (21785*s[43])/33 - (373457*s[44])/528 + 
       (29613*s[45])/44 - (743441*s[46])/132 + (466249*s[47])/1584 - 
       (6311*s[48])/1584 - (4745959*s[49])/1584 + (567365*s[50])/132 + 
       (1258313*s[51])/1584 + (1014089*s[52])/1584 - (2365139*s[53])/792 + 
       (21121*s[54])/132 - (9844709*s[55])/528 - (7773457*s[56])/1584 + 
       (7285921*s[57])/1188 - (128748689*s[58])/14256 + 
       (131090381*s[59])/14256 + (431234041*s[60])/9504 - 
       (151710871*s[61])/64152 - s[65]/2 - s[66] + 2*s[67] + s[68] + 
       3*s[69] - s[71]/2 + 4*s[72] - 2*s[73] - 5*s[74] + 5*s[75] - 4*s[76] - 
       3*s[77] + 8*s[78] + 52*s[79] - 5*s[80] - 72*s[82] + (3*s[83])/2 + 
       27*s[84]) + HPL[{0, 1}, 1 - u]*M1[w, u, v]*
      ((-7*s[2])/2 - (33*s[3])/4 + (1303*s[4])/4 + (12181*s[5])/88 + 
       (4640*s[6])/11 + (1083175*s[7])/264 - (329435*s[8])/792 - 
       (30803*s[9])/9 - (32641*s[10])/36 - (2431325*s[11])/528 - 
       (2761243*s[12])/528 - (141111*s[13])/44 - (467*s[14])/132 - 
       (125113*s[15])/24 - (297053*s[16])/44 - (2512825*s[17])/528 - 
       (144569*s[18])/216 - (137569*s[19])/216 - (18055591*s[20])/2376 - 
       (6136981*s[21])/2376 + (2572543*s[22])/1188 + (1009119*s[23])/176 + 
       (20707453*s[24])/4752 - (261856673*s[25])/42768 + 
       (132750899*s[26])/42768 - 2*s[29] + (3*s[30])/2 + s[31] - s[32] - 
       s[33]/8 - (11*s[34])/2 - 5*s[35] - (68*s[36])/3 + (29*s[37])/2 + 
       197*s[38] - (1529*s[39])/2 + (5023*s[40])/6 - (2625*s[41])/4 + 
       (26579*s[42])/24 + (42275*s[43])/66 - (181889*s[44])/264 + 
       (13771*s[45])/22 - (175975*s[46])/33 + (108563*s[47])/396 + 
       (7319*s[48])/396 - (2331859*s[49])/792 + (543991*s[50])/132 + 
       (605483*s[51])/792 + (477665*s[52])/792 - (280622*s[53])/99 + 
       (2815*s[54])/66 - (4654501*s[55])/264 - (3578719*s[56])/792 + 
       (13794013*s[57])/2376 - (30332713*s[58])/3564 + (7764157*s[59])/891 + 
       (206309305*s[60])/4752 - (70125403*s[61])/32076 - s[65]/2 - 3*s[66] + 
       4*s[67] + s[68] + 7*s[69] - s[71]/2 + 4*s[72] - 6*s[73] - 5*s[74] + 
       5*s[75] - s[77] + 8*s[78] + 56*s[79] - 8*s[80] - 54*s[82] + 
       (3*s[83])/2 + 27*s[84]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w]*(21*s[2] + 12*s[3] + (1281*s[4])/4 + 
       (14063*s[5])/44 + (8795*s[6])/11 + (2523757*s[7])/396 - 
       (490937*s[8])/1188 - (585367*s[9])/108 - (96301*s[10])/54 - 
       (5457755*s[11])/792 - (2888705*s[12])/396 - (392319*s[13])/88 - 
       (1015001*s[14])/792 - (104947*s[15])/12 - (2860619*s[16])/264 - 
       (6967693*s[17])/792 - (187249*s[18])/162 - (302047*s[19])/324 - 
       (46210465*s[20])/3564 - (34531175*s[21])/7128 + 
       (23814133*s[22])/7128 + (544427*s[23])/88 + (51000925*s[24])/7128 - 
       (276038989*s[25])/32076 + (157867207*s[26])/32076 + 6*s[29] - s[30] + 
       10*s[31] + 2*s[32] + (39*s[33])/4 - 9*s[34] - 6*s[35] - 14*s[36] + 
       (4*s[37])/3 + 200*s[38] - (1485*s[39])/2 + (1645*s[40])/2 - 
       (1315*s[41])/2 + 1074*s[42] + (1365*s[43])/2 - (5209*s[44])/8 + 
       (2123*s[45])/3 - (34015*s[46])/6 + (1819*s[47])/8 + (743*s[48])/8 - 
       (22605*s[49])/8 + (8515*s[50])/2 + (18029*s[51])/24 + (5095*s[52])/8 - 
       (107647*s[53])/36 + (2387*s[54])/6 - (456367*s[55])/24 - 
       (377251*s[56])/72 + (297367*s[57])/54 - (5823803*s[58])/648 + 
       (5899295*s[59])/648 + (6584861*s[60])/144 - (7111447*s[61])/2916 + 
       s[65] + 4*s[66] - 8*s[67] - 4*s[68] - 12*s[69] - 4*s[70] - 3*s[71] + 
       12*s[73] - 2*s[74] + 2*s[75] - 14*s[76] + 6*s[77] + 68*s[79] + 
       (32*s[80])/3 - 180*s[82] - 3*s[83] + 42*s[84]) + 
     HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - w]*((-127*s[2])/4 - (165*s[3])/8 + 
       (31005*s[4])/16 + (189419*s[5])/88 + (696517*s[6])/176 + 
       (117687445*s[7])/3168 - (11569003*s[8])/4752 - (3491849*s[9])/108 - 
       (1040407*s[10])/108 - (128791819*s[11])/3168 - (17312587*s[12])/396 - 
       (27933635*s[13])/1056 - (18609583*s[14])/3168 - (1642627*s[15])/32 - 
       (2743571*s[16])/44 - (155619701*s[17])/3168 - (562309*s[18])/81 - 
       (6838991*s[19])/1296 - (1078444823*s[20])/14256 - 
       (837701677*s[21])/28512 + (561718781*s[22])/28512 + 
       (5460593*s[23])/132 + (292434161*s[24])/7128 - 
       (6485399549*s[25])/128304 + (3817644425*s[26])/128304 + 32*s[29] - 
       s[30]/2 - 21*s[31] + 10*s[32] - (83*s[33])/2 - (53*s[34])/2 - 
       (11*s[35])/2 + (103*s[36])/6 + (1205*s[37])/12 + 1624*s[38] - 
       (18933*s[39])/4 + (62185*s[40])/12 - (15975*s[41])/4 + 
       (39259*s[42])/6 + (569429*s[43])/132 - (2046281*s[44])/528 + 
       (1165441*s[45])/264 - (8706581*s[46])/264 + (2722567*s[47])/1584 + 
       (216547*s[48])/1584 - (26712205*s[49])/1584 + (3200027*s[50])/132 + 
       (7441559*s[51])/1584 + (6714869*s[52])/1584 - (1655168*s[53])/99 + 
       (323393*s[54])/132 - (57837001*s[55])/528 - (15990233*s[56])/528 + 
       (10725959*s[57])/264 - (265395101*s[58])/4752 + 
       (269564975*s[59])/4752 + (2520491353*s[60])/9504 - 
       (600282877*s[61])/42768 + (7*s[64])/2 + (31*s[65])/2 + 16*s[66] - 
       33*s[67] - 16*s[68] - 57*s[69] + 13*s[70] - (79*s[71])/2 - 5*s[72] + 
       29*s[73] + (41*s[74])/4 + (5*s[75])/4 - 4*s[76] + (53*s[77])/2 - 
       31*s[78] + 364*s[79] + (407*s[80])/6 - 2130*s[82] - 24*s[83] + 
       138*s[84]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v]*(3*s[2] - (333*s[3])/2 + (3775*s[4])/4 + 
       (25847*s[5])/66 + (173197*s[6])/132 + (426919*s[7])/33 - 
       (678329*s[8])/594 - (600331*s[9])/54 - (322075*s[10])/108 - 
       (11655613*s[11])/792 - (6661525*s[12])/396 - (8259241*s[13])/792 - 
       (450871*s[14])/792 - (62979*s[15])/4 - (16640209*s[16])/792 - 
       (11241709*s[17])/792 - (363119*s[18])/162 - (545627*s[19])/324 - 
       (87791885*s[20])/3564 - (61007935*s[21])/7128 + 
       (50159645*s[22])/7128 + (13523951*s[23])/792 + (98000165*s[24])/7128 - 
       (1230133645*s[25])/64152 + (637518565*s[26])/64152 - s[30] + 6*s[31] - 
       (17*s[32])/2 + (27*s[33])/4 - 6*s[34] + (26*s[35])/3 - (176*s[36])/3 + 
       (175*s[37])/3 + (1957*s[38])/3 - (7664*s[39])/3 + (8791*s[40])/3 - 
       2297*s[41] + (11198*s[42])/3 + (66553*s[43])/33 - (211589*s[44])/88 + 
       (192185*s[45])/132 - (2012755*s[46])/132 + (725023*s[47])/792 + 
       (83635*s[48])/792 - (7509409*s[49])/792 + (256491*s[50])/22 + 
       (233691*s[51])/88 + (1727003*s[52])/792 - (1452545*s[53])/198 + 
       (6687*s[54])/22 - (35967361*s[55])/792 - (3263833*s[56])/264 + 
       (1109135*s[57])/44 - (62859167*s[58])/2376 + (62093621*s[59])/2376 + 
       (590428477*s[60])/4752 - (117382213*s[61])/21384 - 2*s[64] - s[65] - 
       2*s[66] + 6*s[67] - s[68] + 9*s[69] - s[70] + 10*s[72] - 30*s[73] - 
       (43*s[74])/2 + (21*s[75])/2 - 18*s[76] - 18*s[77] + 432*s[79] - 
       (331*s[80])/3 - 275*s[82] - (27*s[83])/2 + 153*s[84]) + 
     HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - u]*((-183*s[2])/2 - 219*s[3] + 
       (1699*s[4])/4 - (48029*s[5])/44 - (14107*s[6])/22 - 
       (1351837*s[7])/396 - (87965*s[8])/1188 + (154771*s[9])/54 + 
       (183307*s[10])/108 + (346117*s[11])/198 - (79055*s[12])/99 - 
       (194969*s[13])/99 + (1677605*s[14])/396 + (81629*s[15])/9 + 
       (1499567*s[16])/198 + (1661521*s[17])/132 + (290525*s[18])/162 - 
       (57697*s[19])/324 + (18175585*s[20])/1782 + (4978880*s[21])/891 - 
       (4336909*s[22])/3564 - (241957*s[23])/198 - (8898151*s[24])/3564 + 
       (30785749*s[25])/64152 - (172570021*s[26])/64152 + (7*s[27])/2 + 
       4*s[28] + 15*s[29] + 6*s[30] - 13*s[31] - (67*s[32])/2 - 
       (221*s[33])/4 + 37*s[34] + 8*s[35] + (115*s[36])/6 - (913*s[37])/12 + 
       550*s[38] - (4759*s[39])/8 + (25793*s[40])/24 - (6095*s[41])/8 + 
       (15685*s[42])/24 + (265267*s[43])/264 - (528761*s[44])/528 - 
       (127955*s[45])/264 + (5762*s[46])/33 - (675473*s[47])/1584 + 
       (2937301*s[48])/1584 - (6660061*s[49])/1584 + (3779*s[50])/33 + 
       (1073693*s[51])/1584 + (947579*s[52])/1584 + (498305*s[53])/198 - 
       (89668*s[54])/33 + (6361457*s[55])/528 + (1604183*s[56])/528 + 
       (6777035*s[57])/396 - (827091*s[58])/176 + (4813711*s[59])/1584 + 
       (144307033*s[60])/9504 + (50716289*s[61])/21384 - 16*s[63] + 
       (9*s[64])/2 + 12*s[65] + 16*s[66] - 24*s[67] + 32*s[68] - 71*s[69] + 
       216*s[70] - 21*s[71] - 16*s[72] + 4*s[73] + 25*s[74] - 16*s[75] + 
       66*s[76] - 192*s[77] - 60*s[78] + 624*s[79] - (637*s[80])/6 + 
       144*s[82] - 93*s[83] + 174*s[84]) + HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - v]*
      ((123*s[2])/2 + (175*s[3])/4 + (2893*s[4])/8 - (12201*s[5])/11 - 
       (41373*s[6])/88 - (9762763*s[7])/1584 + (377329*s[8])/2376 + 
       (616771*s[9])/108 + (285101*s[10])/108 + (7844227*s[11])/1584 + 
       (546223*s[12])/198 + (108923*s[13])/528 + (7682167*s[14])/1584 + 
       (624043*s[15])/48 + (1062221*s[16])/88 + (24744089*s[17])/1584 + 
       (154592*s[18])/81 + (392789*s[19])/648 + (119247605*s[20])/7128 + 
       (114066961*s[21])/14256 - (42928085*s[22])/14256 - 
       (144491*s[23])/264 - (45217033*s[24])/7128 + (129109357*s[25])/32076 - 
       (77658755*s[26])/16038 - (15*s[28])/2 + 32*s[29] + 2*s[30] + 
       25*s[31] + (17*s[32])/2 - (5*s[33])/2 + 53*s[34] + 22*s[35] + 
       43*s[36] - (653*s[37])/12 + 282*s[38] - (297*s[39])/2 + 
       (959*s[40])/2 - (605*s[41])/2 + (67*s[42])/2 + (6689*s[43])/22 - 
       (5371*s[44])/11 - (333967*s[45])/264 + (1362793*s[46])/264 - 
       (5551*s[47])/22 + (16678*s[48])/11 - (28909*s[49])/22 - 
       (200757*s[50])/44 + (3005*s[51])/33 + (6837*s[52])/22 + 
       (4187567*s[53])/792 - (76787*s[54])/66 + (1389637*s[55])/44 + 
       (2755733*s[56])/396 + (17478655*s[57])/1188 + (21163229*s[58])/7128 - 
       (10043381*s[59])/1782 - (51996107*s[60])/1584 + 
       (535152829*s[61])/128304 + 24*s[62] + s[64]/2 + s[65]/2 + 24*s[68] - 
       15*s[69] + 107*s[70] - 5*s[71] - 44*s[72] - 18*s[73] + (25*s[74])/2 - 
       28*s[75] + 18*s[76] - 53*s[77] - 50*s[78] + 452*s[79] - 
       (827*s[80])/6 - (2*s[81])/3 + 144*s[82] - 93*s[83] + 174*s[84]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      (-186*s[2] - (1657*s[3])/2 - 10561*s[4] - (94014*s[5])/11 - 
       (917283*s[6])/44 - (6250562*s[7])/33 + (5793217*s[8])/396 + 
       (5750981*s[9])/36 + (969215*s[10])/18 + (54818119*s[11])/264 + 
       (59284343*s[12])/264 + (5870077*s[13])/44 + (3793793*s[14])/132 + 
       255319*s[15] + (14273227*s[16])/44 + (67471493*s[17])/264 + 
       (1848863*s[18])/54 + (834410*s[19])/27 + (227957911*s[20])/594 + 
       (41375177*s[21])/297 - (29544022*s[22])/297 - (17666415*s[23])/88 - 
       (504786269*s[24])/2376 + (5596211563*s[25])/21384 - 
       (3100360597*s[26])/21384 - 18*s[30] - 36*s[31] - 14*s[32] + 
       (39*s[33])/2 - 24*s[34] + 112*s[35] + 333*s[36] - 234*s[37] - 
       5747*s[38] + (47111*s[39])/2 - (53337*s[40])/2 + (42429*s[41])/2 - 
       33451*s[42] - (488843*s[43])/22 + (259411*s[44])/11 - 
       (1234411*s[45])/44 + (9201163*s[46])/44 - (188690*s[47])/33 - 
       (500437*s[48])/66 + (13805843*s[49])/132 - (1799603*s[50])/11 - 
       (3035749*s[51])/132 - (571576*s[52])/33 + (14936477*s[53])/132 + 
       (47903*s[54])/11 + (47709053*s[55])/66 + (24622607*s[56])/132 - 
       (27603541*s[57])/198 + (185613695*s[58])/594 - 
       (377846323*s[59])/1188 - (345567539*s[60])/198 + 
       (2006848733*s[61])/21384 - 84*s[70] - 9*s[71] - 72*s[72] + 4*s[73] + 
       89*s[74] - 104*s[75] + 88*s[76] + 112*s[77] - 72*s[78] - 1824*s[79] + 
       532*s[80] - 9072*s[82] - 36*s[83] - 1008*s[84] - 1944*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      (-123*s[2] - 627*s[3] - (42883*s[4])/4 - (16807*s[5])/2 - 
       (40959*s[6])/2 - (1518373*s[7])/8 + (786007*s[8])/54 + 
       (17299991*s[9])/108 + (2912039*s[10])/54 + (7486633*s[11])/36 + 
       (16214659*s[12])/72 + (9640811*s[13])/72 + (2016521*s[14])/72 + 
       (18435701*s[15])/72 + (11691151*s[16])/36 + (9192091*s[17])/36 + 
       (5477957*s[18])/162 + (10229279*s[19])/324 + (124418323*s[20])/324 + 
       (90143537*s[21])/648 - (64646677*s[22])/648 - (14405197*s[23])/72 - 
       (138306841*s[24])/648 + (1530893303*s[25])/5832 - 
       (846973169*s[26])/5832 + 12*s[30] - 3*s[32] + (99*s[33])/2 - 
       72*s[34] + 94*s[35] + 315*s[36] - (266*s[37])/3 - 5746*s[38] + 
       23425*s[39] - 26766*s[40] + (42913*s[41])/2 - 33135*s[42] - 
       (250154*s[43])/11 + (262951*s[44])/11 - (3805385*s[45])/132 + 
       (28129895*s[46])/132 - (171790*s[47])/33 - (301975*s[48])/33 + 
       (14086207*s[49])/132 - (3678687*s[50])/22 - (2966429*s[51])/132 - 
       (1140247*s[52])/66 + (45772279*s[53])/396 + (311551*s[54])/66 + 
       (48902461*s[55])/66 + (75211025*s[56])/396 - (76229911*s[57])/594 + 
       (560868491*s[58])/1782 - (1143886297*s[59])/3564 - 
       (354170813*s[60])/198 + (6138810353*s[61])/64152 + 2*s[64] + 3*s[65] - 
       4*s[66] + 24*s[68] - 32*s[69] - 90*s[70] - 36*s[72] - 48*s[73] + 
       83*s[74] - 86*s[75] + 46*s[76] + 136*s[77] - 20*s[78] - 2024*s[79] + 
       (1802*s[80])/3 - 9072*s[82] - 36*s[83] - 1008*s[84] - 1944*s[85]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      ((-311*s[2])/4 - (7641*s[3])/8 - (52945*s[4])/4 - (1316497*s[5])/176 - 
       (3823367*s[6])/176 - (616241209*s[7])/3168 + (81760199*s[8])/4752 + 
       (4390219*s[9])/27 + (21274787*s[10])/432 + (681691499*s[11])/3168 + 
       (377935805*s[12])/1584 + (455097607*s[13])/3168 + 
       (58405019*s[14])/3168 + (73316015*s[15])/288 + (129457595*s[16])/396 + 
       (258578435*s[17])/1056 + (22748317*s[18])/648 + 
       (37701307*s[19])/1296 + (5441169235*s[20])/14256 + 
       (3850889243*s[21])/28512 - (2905830673*s[22])/28512 - 
       (190654235*s[23])/792 - (1508536225*s[24])/7128 + 
       (17815023047*s[25])/64152 - (9548942825*s[26])/64152 - 33*s[28] + 
       (7*s[29])/2 - (213*s[30])/4 + (17*s[31])/2 - (223*s[32])/4 - 
       (187*s[33])/16 - (253*s[34])/4 + 158*s[35] + (2221*s[36])/6 - 
       (2647*s[37])/6 - (13893*s[38])/2 + (110313*s[39])/4 - 
       (377687*s[40])/12 + (99143*s[41])/4 - (237749*s[42])/6 - 
       (3323719*s[43])/132 + (7012745*s[44])/264 - (7995055*s[45])/264 + 
       (20167537*s[46])/88 - (6657481*s[47])/792 - (4830601*s[48])/792 + 
       (89825017*s[49])/792 - (23222887*s[50])/132 - (22015457*s[51])/792 - 
       (17391185*s[52])/792 + (10718331*s[53])/88 - (85445*s[54])/22 + 
       (25707062*s[55])/33 + (165592931*s[56])/792 - (116297873*s[57])/594 + 
       (2539650823*s[58])/7128 - (320170313*s[59])/891 - 
       (559674109*s[60])/297 + (13117449179*s[61])/128304 + 51*s[63] - 
       s[64] - (25*s[65])/2 - 18*s[66] + (73*s[67])/2 - (185*s[68])/2 + 
       39*s[69] - 328*s[70] + (79*s[71])/2 - 40*s[72] - 28*s[73] + 
       (405*s[74])/4 - 111*s[75] + (185*s[76])/2 + (793*s[77])/2 - 39*s[78] - 
       2600*s[79] + (2743*s[80])/6 - 4263*s[82] + 15*s[83] - 1227*s[84] - 
       1548*s[85]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      ((-543*s[2])/2 - (7411*s[3])/8 - (122273*s[4])/8 - (1728371*s[5])/176 - 
       (4786611*s[6])/176 - (759873139*s[7])/3168 + (96071779*s[8])/4752 + 
       (43442503*s[9])/216 + (26867137*s[10])/432 + (838252309*s[11])/3168 + 
       (461202691*s[12])/1584 + (61887033*s[13])/352 + 
       (84149665*s[14])/3168 + (10102337*s[15])/32 + (13316180*s[16])/33 + 
       (972344099*s[17])/3168 + (14197099*s[18])/324 + 
       (45872069*s[19])/1296 + (6734062631*s[20])/14256 + 
       (4835498017*s[21])/28512 - (3584284115*s[22])/28512 - 
       (6305785*s[23])/22 - (1857226475*s[24])/7128 + 
       (43490885585*s[25])/128304 - (23610028037*s[26])/128304 - 
       (3*s[28])/4 + 8*s[29] - (249*s[30])/4 - (337*s[31])/2 - 
       (135*s[32])/4 - (2843*s[33])/16 + (671*s[34])/4 + 404*s[35] + 
       (2899*s[36])/6 - (1627*s[37])/4 - (16803*s[38])/2 + (133789*s[39])/4 - 
       (447995*s[40])/12 + (117191*s[41])/4 - (288131*s[42])/6 - 
       (3904291*s[43])/132 + (8174513*s[44])/264 - (2990487*s[45])/88 + 
       (69993701*s[46])/264 - (8999101*s[47])/792 - (3606439*s[48])/792 + 
       (105667807*s[49])/792 - (26693107*s[50])/132 - (26407319*s[51])/792 - 
       (21140027*s[52])/792 + (110979265*s[53])/792 - (323371*s[54])/66 + 
       (78324617*s[55])/88 + (189450961*s[56])/792 - (294314357*s[57])/1188 + 
       (1485181627*s[58])/3564 - (2993611505*s[59])/7128 - 
       (2567377699*s[60])/1188 + (15018538555*s[61])/128304 - 3*s[64] + 
       (5*s[65])/2 + 22*s[66] - 13*s[67] - (209*s[68])/2 - 13*s[69] - 
       163*s[70] + (85*s[71])/2 - 136*s[72] + 27*s[73] + (279*s[74])/2 - 
       (327*s[75])/2 + 283*s[76] + (439*s[77])/2 - 334*s[78] - 2748*s[79] + 
       (857*s[80])/2 + s[81] - 4263*s[82] + 15*s[83] - 1227*s[84] - 
       1548*s[85]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      ((-651*s[2])/2 - (4019*s[3])/4 - (104499*s[4])/8 - (388095*s[5])/44 - 
       (2152151*s[6])/88 - (337779029*s[7])/1584 + (42474727*s[8])/2376 + 
       (9605213*s[9])/54 + (6209435*s[10])/108 + (371770765*s[11])/1584 + 
       (101770247*s[12])/396 + (244107299*s[13])/1584 + 
       (43127677*s[14])/1584 + (40603375*s[15])/144 + (286885945*s[16])/792 + 
       (147550373*s[17])/528 + (12360389*s[18])/324 + (21867113*s[19])/648 + 
       (3017996621*s[20])/7128 + (2151917299*s[21])/14256 - 
       (1588622531*s[22])/14256 - (190065269*s[23])/792 - 
       (1679825281*s[24])/7128 + (9619843405*s[25])/32076 - 
       (5211075109*s[26])/32076 + 32*s[29] - 36*s[30] - 80*s[31] - 28*s[32] - 
       (217*s[33])/4 + 20*s[34] + 197*s[35] + (1838*s[36])/3 - 
       (1361*s[37])/3 - 6956*s[38] + (117111*s[39])/4 - (393317*s[40])/12 + 
       (103051*s[41])/4 - (504553*s[42])/12 - (3471115*s[43])/132 + 
       (7477799*s[44])/264 - (2066821*s[45])/66 + (10699481*s[46])/44 - 
       (6814201*s[47])/792 - (4886935*s[48])/792 + (97770535*s[49])/792 - 
       (12417371*s[50])/66 - (22478987*s[51])/792 - (17678273*s[52])/792 + 
       (17239141*s[53])/132 + (819*s[54])/11 + (218559799*s[55])/264 + 
       (171528233*s[56])/792 - (227155651*s[57])/1188 + 
       (2641943797*s[58])/7128 - (2680182583*s[59])/7128 - 
       (9526324609*s[60])/4752 + (6900520123*s[61])/64152 + 2*s[64] + 
       31*s[65] + 24*s[66] - 22*s[67] - 46*s[68] - 38*s[69] - 106*s[70] - 
       37*s[71] - 106*s[72] + 2*s[73] + (309*s[74])/2 - (297*s[75])/2 + 
       196*s[76] + 185*s[77] - 234*s[78] - 2204*s[79] + (1940*s[80])/3 - 
       7548*s[82] - 75*s[83] - 1074*s[84] - 1440*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      ((-161*s[2])/4 - (4831*s[3])/8 - (105513*s[4])/8 - (1770495*s[5])/176 - 
       (4346415*s[6])/176 - (717959255*s[7])/3168 + (9334607*s[8])/528 + 
       (1529235*s[9])/8 + (2982329*s[10])/48 + (263070947*s[11])/1056 + 
       (47796227*s[12])/176 + (514068109*s[13])/3168 + 
       (33846455*s[14])/1056 + (87021653*s[15])/288 + (76171747*s[16])/198 + 
       (944967911*s[17])/3168 + (4411085*s[18])/108 + (15582283*s[19])/432 + 
       (2163419215*s[20])/4752 + (1566234991*s[21])/9504 - 
       (377466091*s[22])/3168 - (48573713*s[23])/198 - (66647281*s[24])/264 + 
       (13489484675*s[25])/42768 - (7438083827*s[26])/42768 + 3*s[28] + 
       48*s[29] - (39*s[30])/4 + 8*s[31] - (13*s[32])/4 + (137*s[33])/16 + 
       (35*s[34])/4 + (313*s[35])/2 + (2557*s[36])/6 - (1076*s[37])/3 - 
       (31035*s[38])/4 + (239047*s[39])/8 - (802945*s[40])/24 + 26570*s[41] - 
       (254609*s[42])/6 - (7228127*s[43])/264 + (15050953*s[44])/528 - 
       (4179911*s[45])/132 + (21442999*s[46])/88 - (13930553*s[47])/1584 - 
       (10737143*s[48])/1584 + (198762803*s[49])/1584 - 
       (49719449*s[50])/264 - (46664053*s[51])/1584 - (37115467*s[52])/1584 + 
       (11406651*s[53])/88 - (8053*s[54])/88 + (435896569*s[55])/528 + 
       (340682797*s[56])/1584 - (238128343*s[57])/1188 + 
       (5342865197*s[58])/14256 - (5416906721*s[59])/14256 - 
       (19166179433*s[60])/9504 + (13650894335*s[61])/128304 + (5*s[64])/4 + 
       (19*s[65])/4 + 18*s[66] - (103*s[67])/2 - 41*s[68] - (127*s[69])/2 - 
       29*s[70] + (125*s[71])/4 - 58*s[72] + 44*s[73] + (479*s[74])/4 - 
       131*s[75] + (93*s[76])/2 + (7*s[77])/2 - 79*s[78] - 2354*s[79] + 
       (2887*s[80])/6 - 4551*s[82] - 21*s[83] - 1143*s[84] - 1344*s[85]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      ((-499*s[2])/4 - (4247*s[3])/8 - (102883*s[4])/8 - (1627457*s[5])/176 - 
       (4158401*s[6])/176 - (683970719*s[7])/3168 + (82548665*s[8])/4752 + 
       (19630207*s[9])/108 + (25248587*s[10])/432 + (753677753*s[11])/3168 + 
       (412550285*s[12])/1584 + (164504051*s[13])/1056 + 
       (90205121*s[14])/3168 + (27495667*s[15])/96 + (96590665*s[16])/264 + 
       (891108307*s[17])/3168 + (25197499*s[18])/648 + 
       (43883401*s[19])/1296 + (6155813905*s[20])/14256 + 
       (4434163061*s[21])/28512 - (3236735551*s[22])/28512 - 
       (63315133*s[23])/264 - (213503996*s[24])/891 + 
       (2423160853*s[25])/8019 - (1327437250*s[26])/8019 - 3*s[27] - 
       3*s[28] + 36*s[29] - (39*s[30])/4 - 50*s[31] + (37*s[32])/4 - 
       (863*s[33])/16 + (139*s[34])/4 + (347*s[35])/2 + (1280*s[36])/3 - 
       (1563*s[37])/4 - (29923*s[38])/4 + 29349*s[39] - (98816*s[40])/3 + 
       (208773*s[41])/8 - (1006487*s[42])/24 - (1749029*s[43])/66 + 
       (7407689*s[44])/264 - (2655463*s[45])/88 + (62259641*s[46])/264 - 
       (1773031*s[47])/198 - (586331*s[48])/99 + (48366833*s[49])/396 - 
       (48155933*s[50])/264 - (22937609*s[51])/792 - (18066233*s[52])/792 + 
       (99137737*s[53])/792 - (102451*s[54])/264 + (17521175*s[55])/22 + 
       (20629463*s[56])/99 - (120231979*s[57])/594 + (1299990739*s[58])/
        3564 - (1318055809*s[59])/3564 - (9257347465*s[60])/4752 + 
       (13173053695*s[61])/128304 + (5*s[64])/4 + (19*s[65])/4 + 18*s[66] - 
       (103*s[67])/2 - 41*s[68] - (127*s[69])/2 - 29*s[70] + (41*s[71])/4 - 
       68*s[72] + 78*s[73] + (495*s[74])/4 - 129*s[75] + (209*s[76])/2 + 
       (17*s[77])/2 - 115*s[78] - 2430*s[79] + 561*s[80] - 4551*s[82] - 
       21*s[83] - 1143*s[84] - 1344*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - u]*((-51*s[2])/2 - (1369*s[3])/4 - 
       (91677*s[4])/8 - (159963*s[5])/22 - (1770621*s[6])/88 - 
       (292030813*s[7])/1584 + (34627207*s[8])/2376 + (8427677*s[9])/54 + 
       (5333345*s[10])/108 + (323560717*s[11])/1584 + (178147537*s[12])/792 + 
       (23989813*s[13])/176 + (35795611*s[14])/1584 + (11599381*s[15])/48 + 
       (40989019*s[16])/132 + (371564423*s[17])/1584 + (10623605*s[18])/324 + 
       (18626627*s[19])/648 + (2619311399*s[20])/7128 + 
       (1878139969*s[21])/14256 - (1391272229*s[22])/14256 - 
       (18204181*s[23])/88 - (1458242215*s[24])/7128 + 
       (16689229949*s[25])/64152 - (9084845207*s[26])/64152 - 9*s[28] - 
       24*s[29] - 9*s[30] - 24*s[31] + 34*s[32] + (15*s[33])/2 - 41*s[34] + 
       (113*s[35])/3 + (691*s[36])/3 - (1667*s[37])/6 - 6743*s[38] + 
       (300745*s[39])/12 - (346997*s[40])/12 + (273377*s[41])/12 - 
       (427561*s[42])/12 - (3098659*s[43])/132 + (3254203*s[44])/132 - 
       (1754539*s[45])/66 + (27094399*s[46])/132 - (2618311*s[47])/396 - 
       (1521197*s[48])/198 + (21136763*s[49])/198 - (5244433*s[50])/33 - 
       (9866429*s[51])/396 - (3961831*s[52])/198 + (21153337*s[53])/198 + 
       (34345*s[54])/22 + (22704106*s[55])/33 + (11926385*s[56])/66 - 
       (71629979*s[57])/396 + (31684973*s[58])/99 - (42443129*s[59])/132 - 
       (2036293433*s[60])/1188 + (1883702731*s[61])/21384 + 36*s[63] - 
       24*s[65] - 48*s[66] + 54*s[67] - 24*s[68] + 114*s[69] - 336*s[70] + 
       46*s[71] - 6*s[72] - 102*s[73] + (407*s[74])/6 - (455*s[75])/6 - 
       (28*s[76])/3 + (1121*s[77])/3 + 90*s[78] - 3180*s[79] + 
       (2287*s[80])/3 - 4716*s[82] + 117*s[83] - 1374*s[84] - 1296*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      (-145*s[2] - 429*s[3] - 11149*s[4] - (312493*s[5])/44 - 
       (220248*s[6])/11 - (142685069*s[7])/792 + (4263940*s[8])/297 + 
       (16420061*s[9])/108 + (5231581*s[10])/108 + (78864701*s[11])/396 + 
       (173405849*s[12])/792 + (105105377*s[13])/792 + (17435317*s[14])/792 + 
       (17024107*s[15])/72 + (120321937*s[16])/396 + (30435815*s[17])/132 + 
       (5205881*s[18])/162 + (8996345*s[19])/324 + (1275091151*s[20])/3564 + 
       (912445663*s[21])/7128 - (678039617*s[22])/7128 - 
       (162221953*s[23])/792 - (1419686177*s[24])/7128 + 
       (16306603039*s[25])/64152 - (8859087397*s[26])/64152 - 78*s[29] - 
       3*s[30] - 82*s[31] + 9*s[32] + (119*s[33])/4 - 33*s[34] + 
       (128*s[35])/3 + (880*s[36])/3 - (1933*s[37])/6 - 6280*s[38] + 
       (292879*s[39])/12 - (337367*s[40])/12 + (266591*s[41])/12 - 
       (418909*s[42])/12 - (2974801*s[43])/132 + (6342077*s[44])/264 - 
       (278892*s[45])/11 + (26213975*s[46])/132 - (5297291*s[47])/792 - 
       (5573237*s[48])/792 + (81743219*s[49])/792 - (5076409*s[50])/33 - 
       (19160071*s[51])/792 - (15338239*s[52])/792 + (41100493*s[53])/396 + 
       (442*s[54])/33 + (175629991*s[55])/264 + (139282961*s[56])/792 - 
       (51980842*s[57])/297 + (2201298967*s[58])/7128 - 
       (2211372037*s[59])/7128 - (7866647585*s[60])/4752 + 
       (5499570187*s[61])/64152 - 33*s[62] - 12*s[65] - 24*s[66] + 24*s[67] - 
       12*s[68] + 54*s[69] - 192*s[70] + 25*s[71] - 16*s[72] + 40*s[73] + 
       (247*s[74])/3 - (196*s[75])/3 + (218*s[76])/3 + (632*s[77])/3 + 
       32*s[78] - 3172*s[79] + (2549*s[80])/3 + s[81] - 4716*s[82] + 
       117*s[83] - 1374*s[84] - 1296*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*(-111*s[2] - (704*s[3])/3 - 
       (62035*s[4])/6 - (74297*s[5])/11 - (2469059*s[6])/132 - 
       (401354641*s[7])/2376 + (47800645*s[8])/3564 + (23134279*s[9])/162 + 
       (7336211*s[10])/162 + (221914301*s[11])/1188 + 
       (488392085*s[12])/2376 + (98088523*s[13])/792 + 
       (52320181*s[14])/2376 + (15942011*s[15])/72 + (112871233*s[16])/396 + 
       (128488289*s[17])/594 + (29269381*s[18])/972 + (25252937*s[19])/972 + 
       (3608704031*s[20])/10692 + (2580897205*s[21])/21384 - 
       (1908985121*s[22])/21384 - (148223729*s[23])/792 - 
       (4010604671*s[24])/21384 + (11440982227*s[25])/48114 - 
       (12475449485*s[26])/96228 - 5*s[30] - 6*s[31] - 21*s[32] + 
       (101*s[33])/4 - 45*s[34] + 48*s[35] + (2443*s[36])/9 - 
       (5393*s[37])/18 - (17695*s[38])/3 + (137915*s[39])/6 - 
       (477011*s[40])/18 + (62879*s[41])/3 - (591919*s[42])/18 - 
       (4219327*s[43])/198 + (2242004*s[44])/99 - (4813289*s[45])/198 + 
       (6235360*s[46])/33 - (3748571*s[47])/594 - (1994983*s[48])/297 + 
       (115730605*s[49])/1188 - (14492480*s[50])/99 - (27139469*s[51])/1188 - 
       (5428463*s[52])/297 + (1089020*s[53])/11 + (1357*s[54])/66 + 
       (6980335*s[55])/11 + (199516499*s[56])/1188 - (145383428*s[57])/891 + 
       (3132562657*s[58])/10692 - (3146481787*s[59])/10692 - 
       (11222029579*s[60])/7128 + (7900300987*s[61])/96228 - 30*s[62] - 
       10*s[65] - 24*s[66] + 24*s[67] - 12*s[68] + 48*s[69] - 196*s[70] + 
       24*s[71] - 24*s[72] + 28*s[73] + (223*s[74])/3 - (187*s[75])/3 + 
       (212*s[76])/3 + (644*s[77])/3 + 32*s[78] - (8840*s[79])/3 + 
       (7213*s[80])/9 + s[81] - 4688*s[82] + 90*s[83] - 1284*s[84] - 
       1296*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1, 1}, 1 - w]*((-529*s[2])/4 - (5299*s[3])/8 - 
       (172015*s[4])/16 - (174693*s[5])/22 - (3593537*s[6])/176 - 
       (194636867*s[7])/1056 + (68549147*s[8])/4752 + (8384171*s[9])/54 + 
       (11032405*s[10])/216 + (641500019*s[11])/3168 + 
       (174571477*s[12])/792 + (417438101*s[13])/3168 + 
       (83316935*s[14])/3168 + (70809991*s[15])/288 + (248511653*s[16])/792 + 
       (773520293*s[17])/3168 + (2691812*s[18])/81 + (38033407*s[19])/1296 + 
       (5284734547*s[20])/14256 + (3815760737*s[21])/28512 - 
       (2762118229*s[22])/28512 - (158019409*s[23])/792 - 
       (730930355*s[24])/3564 + (32898292675*s[25])/128304 - 
       (18106974295*s[26])/128304 - 2*s[28] + 12*s[29] - 12*s[30] - 
       50*s[31] - (35*s[32])/2 - (245*s[33])/8 + 11*s[34] + (309*s[35])/2 + 
       (805*s[36])/2 - (3821*s[37])/12 - 6040*s[38] + (96953*s[39])/4 - 
       (109391*s[40])/4 + (86961*s[41])/4 - (69065*s[42])/2 - 
       (974715*s[43])/44 + (4128343*s[44])/176 - (6867805*s[45])/264 + 
       (52918633*s[46])/264 - (3626797*s[47])/528 - (3069625*s[48])/528 + 
       (54416587*s[49])/528 - (6860567*s[50])/44 - (12454753*s[51])/528 - 
       (9882419*s[52])/528 + (21214217*s[53])/198 + (246677*s[54])/132 + 
       (119938067*s[55])/176 + (279255143*s[56])/1584 - 
       (380121337*s[57])/2376 + (4368959347*s[58])/14256 - 
       (4433074033*s[59])/14256 - (5269476959*s[60])/3168 + 
       (11236952755*s[61])/128304 + (3*s[64])/2 + (3*s[65])/2 + 4*s[66] - 
       12*s[67] - 16*s[68] - 12*s[69] - 56*s[70] + (13*s[71])/2 - 47*s[72] - 
       13*s[73] + (411*s[74])/4 - (425*s[75])/4 + 109*s[76] + (149*s[77])/2 - 
       105*s[78] - 2124*s[79] + (2947*s[80])/6 - 5052*s[82] - 15*s[83] - 
       1026*s[84] - 1284*s[85]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1, 1}, 1 - v]*(-270*s[2] + 301*s[3] - (39641*s[4])/4 - 
       (113448*s[5])/11 - (473741*s[6])/22 - (161358743*s[7])/792 + 
       (4132190*s[8])/297 + (9411113*s[9])/54 + (1594682*s[10])/27 + 
       (175922177*s[11])/792 + (188094295*s[12])/792 + (1557888*s[13])/11 + 
       (13844827*s[14])/396 + (6681145*s[15])/24 + (92012207*s[16])/264 + 
       (221010631*s[17])/792 + (2937353*s[18])/81 + (10904521*s[19])/324 + 
       (1481376319*s[20])/3564 + (137160841*s[21])/891 - 
       (96065069*s[22])/891 - (8752279*s[23])/44 - (409320403*s[24])/1782 + 
       (2222041663*s[25])/8019 - (5020159783*s[26])/32076 + 42*s[28] - 
       24*s[29] + 15*s[30] - 176*s[31] + 31*s[32] - (161*s[33])/4 + 
       217*s[34] + 172*s[35] + (1292*s[36])/3 - 257*s[37] - 6477*s[38] + 
       (50865*s[39])/2 - (169579*s[40])/6 + (45127*s[41])/2 - 
       (429991*s[42])/12 - (1569737*s[43])/66 + (6558131*s[44])/264 - 
       (305678*s[45])/11 + (14159441*s[46])/66 - (5062249*s[47])/792 - 
       (5530981*s[48])/792 + (88724101*s[49])/792 - (11138531*s[50])/66 - 
       (19149359*s[51])/792 - (14892407*s[52])/792 + (46066985*s[53])/396 + 
       (174769*s[54])/33 + (65144141*s[55])/88 + (147123319*s[56])/792 - 
       (167870111*s[57])/1188 + (2269479437*s[58])/7128 - 
       (2331271781*s[59])/7128 - (8541640819*s[60])/4752 + 
       (2983167355*s[61])/32076 - 48*s[63] - 4*s[64] + 13*s[65] + 12*s[66] - 
       38*s[67] + 82*s[68] - 34*s[69] + 214*s[70] - 7*s[71] - 56*s[72] - 
       12*s[73] + 111*s[74] - 111*s[75] + 178*s[76] - 224*s[77] - 136*s[78] - 
       2004*s[79] + 500*s[80] - 6108*s[82] - 39*s[83] - 990*s[84] - 
       1272*s[85]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      (-46*s[2] - 80*s[3] - (28515*s[4])/4 - (355175*s[5])/44 - 
       (696415*s[6])/44 - (120951581*s[7])/792 + (3033671*s[8])/297 + 
       (3543667*s[9])/27 + (1218962*s[10])/27 + (65676811*s[11])/396 + 
       (139480459*s[12])/792 + (9136599*s[13])/88 + (23169713*s[14])/792 + 
       (1688659*s[15])/8 + (8667145*s[16])/33 + (42098455*s[17])/198 + 
       (8874563*s[18])/324 + (4135271*s[19])/162 + (564453785*s[20])/1782 + 
       (835746173*s[21])/7128 - (576507871*s[22])/7128 - 
       (12659085*s[23])/88 - (1240776205*s[24])/7128 + 
       (13193092415*s[25])/64152 - (7512483917*s[26])/64152 - 60*s[29] + 
       15*s[30] - 4*s[31] - 9*s[32] + (537*s[33])/4 - 13*s[34] - 70*s[35] + 
       (791*s[36])/3 - (489*s[37])/2 - 4779*s[38] + (71931*s[39])/4 - 
       (242501*s[40])/12 + (65051*s[41])/4 - (150923*s[42])/6 - 
       (2325559*s[43])/132 + (4721249*s[44])/264 - (987583*s[45])/44 + 
       (5402374*s[46])/33 - (2833423*s[47])/792 - (4968325*s[48])/792 + 
       (64967383*s[49])/792 - (8555717*s[50])/66 - (14012027*s[51])/792 - 
       (10494587*s[52])/792 + (8885837*s[53])/99 + (357515*s[54])/66 + 
       (50704283*s[55])/88 + (113770573*s[56])/792 - (107092055*s[57])/1188 + 
       (1709285027*s[58])/7128 - (1757975027*s[59])/7128 - 
       (6574313311*s[60])/4752 + (2305561363*s[61])/32076 - 6*s[64] - 
       23*s[65] - 44*s[66] + 46*s[67] + 70*s[68] + 142*s[69] + 40*s[70] + 
       17*s[71] + 20*s[72] - 24*s[73] + 47*s[74] - 59*s[75] - 12*s[76] - 
       100*s[77] + 172*s[78] - 1428*s[79] + 243*s[80] - s[81] - 6108*s[82] - 
       39*s[83] - 990*s[84] - 1272*s[85]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1, 1}, 1 - v]*((55*s[2])/4 - (831*s[3])/8 - 
       (90297*s[4])/8 - (1256005*s[5])/176 - (3181661*s[6])/176 - 
       (560118059*s[7])/3168 + (23800895*s[8])/1584 + (2673485*s[9])/18 + 
       (6894833*s[10])/144 + (205304131*s[11])/1056 + (112413443*s[12])/528 + 
       (403230601*s[13])/3168 + (18734731*s[14])/1056 + 
       (68199845*s[15])/288 + (118885037*s[16])/396 + 
       (732001811*s[17])/3168 + (6348197*s[18])/216 + (13288259*s[19])/432 + 
       (1653569987*s[20])/4752 + (387536437*s[21])/3168 - 
       (883323481*s[22])/9504 - (158251721*s[23])/792 - 
       (469285087*s[24])/2376 + (1782567521*s[25])/7128 - 
       (951021719*s[26])/7128 + 33*s[28] + (87*s[29])/2 + (15*s[30])/4 + 
       s[31]/2 + (89*s[32])/4 + (1157*s[33])/16 - (37*s[34])/4 + 152*s[35] + 
       (1397*s[36])/3 - (3587*s[37])/12 - (12171*s[38])/2 + 
       (197791*s[39])/8 - (662353*s[40])/24 + (175969*s[41])/8 - 
       (848063*s[42])/24 - (5878151*s[43])/264 + (12632899*s[44])/528 - 
       (3434087*s[45])/132 + (17927873*s[46])/88 - (10831697*s[47])/1584 - 
       (8182787*s[48])/1584 + (166987427*s[49])/1584 - (5312737*s[50])/33 - 
       (38413495*s[51])/1584 - (29344393*s[52])/1584 + (29320439*s[53])/264 + 
       (70259*s[54])/22 + (371207083*s[55])/528 + (280499473*s[56])/1584 - 
       (86573897*s[57])/594 + (4352062217*s[58])/14256 - 
       (4463131163*s[59])/14256 - (16145097797*s[60])/9504 + 
       (11334655775*s[61])/128304 - 45*s[63] + 5*s[64] + (17*s[65])/2 + 
       30*s[66] - (127*s[67])/2 + (137*s[68])/2 - 82*s[69] + 211*s[70] - 
       (29*s[71])/2 - 70*s[72] + 50*s[73] + (521*s[74])/4 - 119*s[75] + 
       (213*s[76])/2 - (419*s[77])/2 - 91*s[78] - 2276*s[79] + 
       (2045*s[80])/3 - 5091*s[82] - 21*s[83] - 1107*s[84] - 1164*s[85]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      (-29*s[2] - (2333*s[3])/8 - (46145*s[4])/4 - (1432105*s[5])/176 - 
       (3490691*s[6])/176 - (603882749*s[7])/3168 + (74236843*s[8])/4752 + 
       (17391185*s[9])/108 + (22307827*s[10])/432 + (664080523*s[11])/3168 + 
       (362497945*s[12])/1584 + (432319655*s[13])/3168 + 
       (71994763*s[14])/3168 + (73858963*s[15])/288 + (256603109*s[16])/792 + 
       (264270827*s[17])/1056 + (21391007*s[18])/648 + 
       (40826819*s[19])/1296 + (5425191377*s[20])/14256 + 
       (3895780627*s[21])/28512 - (2863645241*s[22])/28512 - 
       (168211477*s[23])/792 - (755790445*s[24])/3564 + 
       (8568251471*s[25])/32076 - (2338424569*s[26])/16038 - (3*s[28])/4 + 
       36*s[29] - (177*s[30])/4 + (71*s[31])/2 + (53*s[32])/4 + 
       (713*s[33])/16 + (199*s[34])/4 + 64*s[35] + (3331*s[36])/6 - 
       (4747*s[37])/12 - (13049*s[38])/2 + (52481*s[39])/2 - 
       (174895*s[40])/6 + (92115*s[41])/4 - (451177*s[42])/12 - 
       (782542*s[43])/33 + (3301423*s[44])/132 - (7152275*s[45])/264 + 
       (56143501*s[46])/264 - (757583*s[47])/99 - (862723*s[48])/198 + 
       (21876229*s[49])/198 - (5475034*s[50])/33 - (5032241*s[51])/198 - 
       (7878487*s[52])/396 + (90873425*s[53])/792 + (216229*s[54])/66 + 
       (24031462*s[55])/33 + (12202115*s[56])/66 - (1854698*s[57])/11 + 
       (770907773*s[58])/2376 - (98779666*s[59])/297 - 
       (8364854803*s[60])/4752 + (3896771201*s[61])/42768 + 9*s[62] + 
       3*s[64] + (17*s[65])/2 + 22*s[66] - 53*s[67] + (17*s[68])/2 - 
       26*s[69] + 61*s[70] - (23*s[71])/2 - 116*s[72] + 151*s[73] + 
       (267*s[74])/2 - (285*s[75])/2 + 55*s[76] - (97*s[77])/2 - 122*s[78] - 
       2092*s[79] + (2957*s[80])/6 - s[81] - 5091*s[82] - 21*s[83] - 
       1107*s[84] - 1164*s[85]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1, 1}, 1 - u]*((130*s[2])/3 - 221*s[3] - (44194*s[4])/3 - 
       (100841*s[5])/12 - (72296*s[6])/3 - (48281261*s[7])/216 + 
       (6165401*s[8])/324 + (61011797*s[9])/324 + (4642813*s[10])/81 + 
       (26891623*s[11])/108 + (59916505*s[12])/216 + (12134095*s[13])/72 + 
       (4585013*s[14])/216 + (20768453*s[15])/72 + (2240219*s[16])/6 + 
       (29717945*s[17])/108 + (9557455*s[18])/243 + (8393201*s[19])/243 + 
       (213041903*s[20])/486 + (301260089*s[21])/1944 - 
       (229789699*s[22])/1944 - (18989405*s[23])/72 - 
       (478275619*s[24])/1944 + (2803008013*s[25])/8748 - 
       (374494171*s[26])/2187 - 2*s[27] - 6*s[28] + 12*s[29] - 26*s[30] + 
       (22*s[31])/3 + (115*s[32])/3 + (454*s[33])/3 - (212*s[34])/3 + 
       (292*s[35])/3 + (3637*s[36])/9 - (1219*s[37])/2 - (26807*s[38])/3 + 
       (395495*s[39])/12 - (1349473*s[40])/36 + (117037*s[41])/4 - 
       (422093*s[42])/9 - (1074217*s[43])/36 + (2265185*s[44])/72 - 
       (391331*s[45])/12 + (4627901*s[46])/18 - (2134603*s[47])/216 - 
       (1600069*s[48])/216 + (29281315*s[49])/216 - (3559673*s[50])/18 - 
       (7120235*s[51])/216 - (5752079*s[52])/216 + (3592274*s[53])/27 - 
       (6235*s[54])/18 + (61363489*s[55])/72 + (48583393*s[56])/216 - 
       (80725799*s[57])/324 + (790765511*s[58])/1944 - 
       (793172219*s[59])/1944 - (2762541451*s[60])/1296 + 
       (238719874*s[61])/2187 + 24*s[63] - 2*s[64] - (67*s[65])/3 - 
       (112*s[66])/3 + (74*s[67])/3 - (238*s[68])/3 + (398*s[69])/3 - 
       (1144*s[70])/3 + (133*s[71])/3 - (56*s[72])/3 - (188*s[73])/3 + 
       (310*s[74])/3 - (334*s[75])/3 - 10*s[76] + (1060*s[77])/3 + 
       (272*s[78])/3 - 3716*s[79] + (2725*s[80])/3 - 4016*s[82] + 139*s[83] - 
       1614*s[84] - 1136*s[85]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - v]*((-856*s[2])/3 - (877*s[3])/3 - 
       (91741*s[4])/6 - (300569*s[5])/33 - (3424055*s[6])/132 - 
       (561817153*s[7])/2376 + (71752313*s[8])/3564 + (64468441*s[9])/324 + 
       (9850819*s[10])/162 + (624122699*s[11])/2376 + 
       (693105703*s[12])/2376 + (210500747*s[13])/1188 + 
       (27269623*s[14])/1188 + (66214799*s[15])/216 + 
       (940653475*s[16])/2376 + (25864629*s[17])/88 + (40796201*s[18])/972 + 
       (34573837*s[19])/972 + (4954004863*s[20])/10692 + 
       (879968075*s[21])/5346 - (333742454*s[22])/2673 - 
       (168027335*s[23])/594 - (2766471713*s[24])/10692 + 
       (65044658507*s[25])/192456 - (34902686777*s[26])/192456 + 4*s[28] - 
       28*s[29] - 20*s[30] - (346*s[31])/3 + (65*s[32])/3 + (43*s[33])/6 + 
       (170*s[34])/3 + (374*s[35])/3 + (4900*s[36])/9 - (6224*s[37])/9 - 
       (27004*s[38])/3 + (104551*s[39])/3 - (354505*s[40])/9 + 
       (92264*s[41])/3 - (1798031*s[42])/36 - (3074510*s[43])/99 + 
       (26205637*s[44])/792 - (6500431*s[45])/198 + (52609541*s[46])/198 - 
       (26252339*s[47])/2376 - (15255947*s[48])/2376 + 
       (336373607*s[49])/2376 - (40340263*s[50])/198 - 
       (81702721*s[51])/2376 - (66294733*s[52])/2376 + 
       (163845557*s[53])/1188 - (201284*s[54])/99 + (694883569*s[55])/792 + 
       (183986447*s[56])/792 - (315433037*s[57])/1188 + 
       (333513361*s[58])/792 - (1006258955*s[59])/2376 - 
       (31259326061*s[60])/14256 + (3605887235*s[61])/32076 - 36*s[62] + 
       (5*s[65])/3 + (20*s[66])/3 - (70*s[67])/3 - (274*s[68])/3 + 
       (50*s[69])/3 - (712*s[70])/3 + (43*s[71])/3 - (220*s[72])/3 + 
       128*s[73] + 132*s[74] - 112*s[75] + (338*s[76])/3 + (638*s[77])/3 - 
       (340*s[78])/3 - (11372*s[79])/3 + (8912*s[80])/9 + s[81] - 
       4016*s[82] + 139*s[83] - 1614*s[84] - 1136*s[85]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - u]*((-1723*s[2])/12 - 
       (9539*s[3])/24 - (622415*s[4])/48 - (1159649*s[5])/132 - 
       (12350633*s[6])/528 - (2002767625*s[7])/9504 + 
       (242702123*s[8])/14256 + (28862687*s[9])/162 + (35763445*s[10])/648 + 
       (2216916971*s[11])/9504 + (152613727*s[12])/594 + 
       (1478756881*s[13])/9504 + (242903795*s[14])/9504 + 
       (238629767*s[15])/864 + (420608807*s[16])/1188 + 
       (847392199*s[17])/3168 + (37131245*s[18])/972 + 
       (122329063*s[19])/3888 + (17902210135*s[20])/42768 + 
       (12915425669*s[21])/85536 - (9519635761*s[22])/85536 - 
       (575440439*s[23])/2376 - (618317081*s[24])/2673 + 
       (114429620497*s[25])/384912 - (62501608309*s[26])/384912 - 2*s[27] - 
       (29*s[28])/2 - 4*s[29] - 14*s[30] - (253*s[31])/3 + (56*s[32])/3 + 
       (649*s[33])/24 + (212*s[34])/3 + (727*s[35])/6 + (7709*s[36])/18 - 
       (18119*s[37])/36 - (46517*s[38])/6 + (354253*s[39])/12 - 
       (1204849*s[40])/36 + (78539*s[41])/3 - (759919*s[42])/18 - 
       (10631057*s[43])/396 + (44537135*s[44])/1584 - (23473129*s[45])/792 + 
       (184394129*s[46])/792 - (43328317*s[47])/4752 - 
       (29000113*s[48])/4752 + (575622979*s[49])/4752 - (17643608*s[50])/99 - 
       (139847957*s[51])/4752 - (112703243*s[52])/4752 + 
       (144164963*s[53])/1188 - (386923*s[54])/198 + (1227671003*s[55])/
        1584 + (325964567*s[56])/1584 - (174529639*s[57])/792 + 
       (5229420203*s[58])/14256 - (5262143009*s[59])/14256 - 
       (54740409091*s[60])/28512 + (12819848617*s[61])/128304 + 74*s[63] - 
       2*s[64] - (25*s[65])/3 - (16*s[66])/3 - (13*s[67])/3 - (274*s[68])/3 + 
       (41*s[69])/3 - (1108*s[70])/3 + (91*s[71])/3 - (199*s[72])/3 + 
       15*s[73] + (431*s[74])/4 - (463*s[75])/4 + (62*s[76])/3 + 
       (2353*s[77])/6 - (223*s[78])/3 - (9068*s[79])/3 + (12559*s[80])/18 - 
       3614*s[82] + 70*s[83] - 1302*s[84] - 1112*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      ((-578*s[2])/3 - (1635*s[3])/4 - (293681*s[4])/24 - 
       (2041913*s[5])/264 - (2829091*s[6])/132 - (918522131*s[7])/4752 + 
       (28277963*s[8])/1782 + (105466975*s[9])/648 + (32817431*s[10])/648 + 
       (1016095691*s[11])/4752 + (140175779*s[12])/594 + 
       (226622287*s[13])/1584 + (104012423*s[14])/4752 + 
       (36382093*s[15])/144 + (28567343*s[16])/88 + (1162951027*s[17])/4752 + 
       (67176593*s[18])/1944 + (57045769*s[19])/1944 + 
       (8153397091*s[20])/21384 + (5815338779*s[21])/42768 - 
       (4357206889*s[22])/42768 - (22263437*s[23])/99 - 
       (1134754259*s[24])/5346 + (105437664707*s[25])/384912 - 
       (56944034087*s[26])/384912 + 4*s[28] - 39*s[29] - 10*s[30] - 
       (278*s[31])/3 - (2*s[32])/3 + (395*s[33])/6 + (31*s[34])/3 + 
       (226*s[35])/3 + (3379*s[36])/9 - (6265*s[37])/12 - (42223*s[38])/6 + 
       (323495*s[39])/12 - (1103461*s[40])/36 + 24086*s[41] - 
       (1388777*s[42])/36 - (9626531*s[43])/396 + (20385367*s[44])/792 - 
       (7188421*s[45])/264 + (169354195*s[46])/792 - (19897343*s[47])/2376 - 
       (13884809*s[48])/2376 + (262134599*s[49])/2376 - 
       (32550685*s[50])/198 - (64416445*s[51])/2376 - (51660505*s[52])/2376 + 
       (265484861*s[53])/2376 - (1100989*s[54])/396 + (564899387*s[55])/792 + 
       (451870667*s[56])/2376 - (707306815*s[57])/3564 + 
       (897086603*s[58])/2673 - (7200888055*s[59])/21384 - 
       (12598708981*s[60])/7128 + (35632675499*s[61])/384912 - (53*s[62])/2 - 
       (25*s[65])/3 - (28*s[66])/3 - (16*s[67])/3 - (166*s[68])/3 + 
       (53*s[69])/3 - (670*s[70])/3 + (167*s[71])/6 - (68*s[72])/3 + 
       (148*s[73])/3 + (593*s[74])/6 - (262*s[75])/3 + 76*s[76] + 
       (601*s[77])/3 + (2*s[78])/3 - 3052*s[79] + (4651*s[80])/6 + s[81] - 
       3614*s[82] + 70*s[83] - 1302*s[84] - 1112*s[85]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((-217*s[2])/4 - (3845*s[3])/8 - (197083*s[4])/16 - 
       (1879583*s[5])/264 - (10994737*s[6])/528 - (1769068133*s[7])/9504 + 
       (225948095*s[8])/14256 + (25341413*s[9])/162 + (3849572*s[10])/81 + 
       (1963169303*s[11])/9504 + (136013971*s[12])/594 + 
       (440389447*s[13])/3168 + (177480011*s[14])/9504 + 
       (23246131*s[15])/96 + (27451471*s[16])/88 + (2212931929*s[17])/9504 + 
       (32144315*s[18])/972 + (109416199*s[19])/3888 + 
       (15623794627*s[20])/42768 + (11118670961*s[21])/85536 - 
       (8385249505*s[22])/85536 - (175892363*s[23])/792 - 
       (544231532*s[24])/2673 + (102245960461*s[25])/384912 - 
       (54981756553*s[26])/384912 + 2*s[27] - (5*s[28])/2 + (28*s[29])/3 - 
       (81*s[30])/2 - (58*s[31])/3 - (25*s[32])/6 - (463*s[33])/6 + 
       (107*s[34])/6 + (707*s[35])/6 + (6149*s[36])/18 - (5569*s[37])/12 - 
       (41707*s[38])/6 + (322231*s[39])/12 - (1098403*s[40])/36 + 
       (47819*s[41])/2 - (1387775*s[42])/36 - (9611771*s[43])/396 + 
       (40502591*s[44])/1584 - (7162415*s[45])/264 + (168473545*s[46])/792 - 
       (40116301*s[47])/4752 - (24719689*s[48])/4752 + 
       (520110991*s[49])/4752 - (32252917*s[50])/198 - 
       (128026193*s[51])/4752 - (102788435*s[52])/4752 + 
       (132072637*s[53])/1188 - (248242*s[54])/99 + (374846677*s[55])/528 + 
       (899267569*s[56])/4752 - (1435110635*s[57])/7128 + 
       (14335198025*s[58])/42768 - (14411677019*s[59])/42768 - 
       (49926560263*s[60])/28512 + (35280602231*s[61])/384912 + 60*s[63] + 
       2*s[64] - (25*s[65])/3 - (40*s[66])/3 + (67*s[67])/3 - (194*s[68])/3 + 
       (118*s[69])/3 - (908*s[70])/3 + (91*s[71])/3 - (179*s[72])/3 - 
       (95*s[73])/3 + (411*s[74])/4 - (443*s[75])/4 + (206*s[76])/3 + 
       (2117*s[77])/6 - (203*s[78])/3 - 2868*s[79] + (3781*s[80])/6 - 
       3290*s[82] + 70*s[83] - 1262*s[84] - 1032*s[85]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      ((-305*s[2])/4 - (3793*s[3])/8 - (195943*s[4])/16 - 
       (1859951*s[5])/264 - (10986133*s[6])/528 - (1763512397*s[7])/9504 + 
       (228452447*s[8])/14256 + (50420149*s[9])/324 + (3853337*s[10])/81 + 
       (1953441359*s[11])/9504 + (270496361*s[12])/1188 + 
       (438259703*s[13])/3168 + (170228219*s[14])/9504 + 
       (69603617*s[15])/288 + (246490075*s[16])/792 + 
       (2216316193*s[17])/9504 + (7979519*s[18])/243 + 
       (109312147*s[19])/3888 + (15496428307*s[20])/42768 + 
       (10966390649*s[21])/85536 - (8345596681*s[22])/85536 - 
       (177633781*s[23])/792 - (541486292*s[24])/2673 + 
       (102032423065*s[25])/384912 - (54563334733*s[26])/384912 - 
       (5*s[27])/2 - 4*s[28] - (161*s[29])/3 - (65*s[30])/2 - (292*s[31])/3 - 
       (20*s[32])/3 + (19*s[33])/12 - s[34]/6 + (797*s[35])/6 + 
       (3616*s[36])/9 - (2141*s[37])/4 - (20168*s[38])/3 + 
       (640907*s[39])/24 - (2180825*s[40])/72 + (189885*s[41])/8 - 
       (2774755*s[42])/72 - (18761191*s[43])/792 + (20050183*s[44])/792 - 
       (2313293*s[45])/88 + (20699633*s[46])/99 - (20540837*s[47])/2376 - 
       (1335925*s[48])/297 + (255550751*s[49])/2376 - (15887030*s[50])/99 - 
       (31824767*s[51])/1188 - (12760519*s[52])/594 + 
       (260479151*s[53])/2376 - (1477141*s[54])/396 + (15335425*s[55])/22 + 
       (443966531*s[56])/2376 - (1432653425*s[57])/7128 + 
       (3523830287*s[58])/10692 - (885558725*s[59])/2673 - 
       (3061786435*s[60])/1782 + (2179478150*s[61])/24057 - 24*s[62] + 
       (11*s[65])/3 + (44*s[66])/3 - (23*s[67])/3 - (158*s[68])/3 - 
       (2*s[69])/3 - (482*s[70])/3 + (95*s[71])/6 - (203*s[72])/3 + 
       (211*s[73])/3 + (437*s[74])/4 - (391*s[75])/4 + (452*s[76])/3 + 
       (1145*s[77])/6 - (269*s[78])/3 - 2984*s[79] + (4595*s[80])/6 + s[81] - 
       3290*s[82] + 70*s[83] - 1262*s[84] - 1032*s[85]) + 
     HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - w]*(-s[2]/2 - (293*s[3])/4 - 
       (85665*s[4])/8 - (109414*s[5])/11 - (1847975*s[6])/88 - 
       (34384759*s[7])/176 + (32400385*s[8])/2376 + (9071561*s[9])/54 + 
       (5639207*s[10])/108 + (339618589*s[11])/1584 + (91896377*s[12])/396 + 
       (221558371*s[13])/1584 + (47088649*s[14])/1584 + 
       (38161001*s[15])/144 + (130408903*s[16])/396 + 
       (407060803*s[17])/1584 + (5791669*s[18])/162 + (18987833*s[19])/648 + 
       (2821886369*s[20])/7128 + (2120872423*s[21])/14256 - 
       (1474335827*s[22])/14256 - (84418865*s[23])/396 - 
       (386764063*s[24])/1782 + (17235822155*s[25])/64152 - 
       (9839035823*s[26])/64152 - 96*s[29] + 4*s[30] + 54*s[31] - 30*s[32] + 
       (583*s[33])/4 + 54*s[34] + 69*s[35] + 81*s[36] - (2525*s[37])/6 - 
       7559*s[38] + 25196*s[39] - 28273*s[40] + (44201*s[41])/2 - 
       35290*s[42] - (254488*s[43])/11 + (1998019*s[44])/88 - 
       (3323629*s[45])/132 + (25258015*s[46])/132 - (706043*s[47])/88 - 
       (333891*s[48])/88 + (8647201*s[49])/88 - (1594577*s[50])/11 - 
       (6638057*s[51])/264 - (1874841*s[52])/88 + (9787754*s[53])/99 - 
       (214391*s[54])/33 + (56413339*s[55])/88 + (136387799*s[56])/792 - 
       (231469225*s[57])/1188 + (2200068415*s[58])/7128 - 
       (2225109565*s[59])/7128 - (2485539871*s[60])/1584 + 
       (5284809997*s[61])/64152 - 4*s[64] - 48*s[65] - 64*s[66] + 96*s[67] + 
       74*s[68] + 174*s[69] - 120*s[70] + 120*s[71] + 14*s[72] - 46*s[73] + 
       (21*s[74])/2 - (67*s[75])/2 + 22*s[76] + 45*s[77] + 150*s[78] - 
       2524*s[79] + (811*s[80])/3 + 3288*s[82] + 111*s[83] - 1002*s[84] - 
       768*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 
       1 - u]*(-57*s[2] - 236*s[3] - (25517*s[4])/8 - (55247*s[5])/22 - 
       (137095*s[6])/22 - (89947535*s[7])/1584 + (1737055*s[8])/396 + 
       (3448807*s[9])/72 + (145567*s[10])/9 + (16457357*s[11])/264 + 
       (35647177*s[12])/528 + (63614299*s[13])/1584 + (4473547*s[14])/528 + 
       (10990781*s[15])/144 + (38492815*s[16])/396 + (60453253*s[17])/792 + 
       (1097363*s[18])/108 + (2026559*s[19])/216 + (273043967*s[20])/2376 + 
       (21935311*s[21])/528 - (141839983*s[22])/4752 - 
       (94767047*s[23])/1584 - (303618289*s[24])/4752 + 
       (1121409331*s[25])/14256 - (618679753*s[26])/14256 - 5*s[30] - 
       10*s[31] - 5*s[32] + 4*s[33] - 10*s[34] + (116*s[35])/3 + 97*s[36] - 
       56*s[37] - 1738*s[38] + (170501*s[39])/24 - (193613*s[40])/24 + 
       (154207*s[41])/24 - (241777*s[42])/24 - (1770559*s[43])/264 + 
       (3782855*s[44])/528 - (2206277*s[45])/264 + (2069341*s[46])/33 - 
       (882203*s[47])/528 - (1255565*s[48])/528 + (16737631*s[49])/528 - 
       (1621265*s[50])/33 - (1227021*s[51])/176 - (2760911*s[52])/528 + 
       (3348701*s[53])/99 + (64481*s[54])/44 + (38017051*s[55])/176 + 
       (88134307*s[56])/1584 - (50077141*s[57])/1188 + 
       (1335077291*s[58])/14256 - (1357609331*s[59])/14256 - 
       (1661717647*s[60])/3168 + (448750327*s[61])/16038 - 30*s[70] - 
       4*s[71] - 20*s[72] + 6*s[73] + (88*s[74])/3 - (91*s[75])/3 + 
       (68*s[76])/3 + (116*s[77])/3 - 20*s[78] - 582*s[79] + 182*s[80] - 
       2790*s[82] - (15*s[83])/2 - 327*s[84] - 612*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((-151*s[2])/4 - (1137*s[3])/8 - (52847*s[4])/16 - (55975*s[5])/22 - 
       (1098027*s[6])/176 - (184730977*s[7])/3168 + (21188329*s[8])/4752 + 
       (10647661*s[9])/216 + (3580169*s[10])/216 + (202740229*s[11])/3168 + 
       (109945945*s[12])/1584 + (43648735*s[13])/1056 + 
       (26849695*s[14])/3168 + (7526741*s[15])/96 + (26311553*s[16])/264 + 
       (247254851*s[17])/3168 + (1665329*s[18])/162 + (12683123*s[19])/1296 + 
       (1680382751*s[20])/14256 + (1213304725*s[21])/28512 - 
       (875739113*s[22])/28512 - (32219659*s[23])/528 - 
       (937018855*s[24])/14256 + (5186183359*s[25])/64152 - 
       (357289439*s[26])/8019 + 5*s[30] + s[31] + s[32] + (135*s[33])/8 - 
       24*s[34] + (199*s[35])/6 + (601*s[36])/6 - (215*s[37])/12 - 
       1785*s[38] + (174539*s[39])/24 - (66717*s[40])/8 + (160633*s[41])/24 - 
       (82283*s[42])/8 - (617467*s[43])/88 + (657131*s[44])/88 - 
       (193043*s[45])/22 + (17285639*s[46])/264 - (1270105*s[47])/792 - 
       (1135085*s[48])/396 + (6560893*s[49])/198 - (2264761*s[50])/44 - 
       (5574287*s[51])/792 - (2131501*s[52])/396 + (7003417*s[53])/198 + 
       (17757*s[54])/11 + (7478969*s[55])/33 + (11486683*s[56])/198 - 
       (96359167*s[57])/2376 + (345283879*s[58])/3564 - 
       (702911951*s[59])/7128 - (1307966399*s[60])/2376 + 
       (3747434821*s[61])/128304 + 2*s[64] + (3*s[65])/2 - 3*s[66] - 
       2*s[67] + 8*s[68] - 11*s[69] - 33*s[70] - (3*s[71])/2 - 9*s[72] - 
       5*s[73] + (349*s[74])/12 - (313*s[75])/12 + (23*s[76])/3 + 
       (307*s[77])/6 + 5*s[78] - 680*s[79] + (1303*s[80])/6 - 2790*s[82] - 
       (15*s[83])/2 - 327*s[84] - 612*s[85]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*Qep[u, w, v]*((224*s[2])/9 - (1216*s[3])/3 - 
       (3136*s[4])/9 - (24320*s[5])/33 - (163120*s[6])/99 - 
       (3888356*s[7])/297 + (393616*s[8])/891 + (878936*s[9])/81 + 
       (480712*s[10])/81 + (3957872*s[11])/297 + (3677356*s[12])/297 + 
       (650024*s[13])/99 + (1979228*s[14])/297 + (575276*s[15])/27 + 
       (2507552*s[16])/99 + (7502788*s[17])/297 + (539692*s[18])/243 + 
       (862268*s[19])/243 + (84533204*s[20])/2673 + (31749572*s[21])/2673 - 
       (17585548*s[22])/2673 - (52540*s[23])/33 - (47397028*s[24])/2673 + 
       (361732856*s[25])/24057 - (238514216*s[26])/24057 + (512*s[31])/9 + 
       (32*s[32])/3 + (128*s[33])/3 - (1024*s[34])/9 - (1024*s[35])/9 - 
       (1792*s[36])/27 + (5488*s[37])/27 + 176*s[38] - (1760*s[39])/3 + 
       (7264*s[40])/27 - (64*s[41])/3 + (30800*s[42])/27 - 
       (234400*s[43])/297 + (226012*s[44])/297 - (853472*s[45])/297 + 
       (445936*s[46])/33 + (1467916*s[47])/891 - (3025628*s[48])/891 + 
       (3880088*s[49])/891 - (3576256*s[50])/297 + (584888*s[51])/891 + 
       (1006724*s[52])/891 + (861712*s[53])/99 + (23880*s[54])/11 + 
       (18423484*s[55])/297 + (12469816*s[56])/891 + (82604816*s[57])/2673 + 
       (77455544*s[58])/8019 - (90793400*s[59])/8019 - 
       (362100544*s[60])/2673 + (567942968*s[61])/72171 + (448*s[68])/9 - 
       (448*s[69])/9 - (128*s[74])/9 + (128*s[75])/9 - (512*s[76])/9 + 
       (448*s[77])/9 + (512*s[78])/9 - (1024*s[79])/9 + (3584*s[80])/27 - 
       (9856*s[82])/3 - (1792*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 0, 1}, 1 - w]*((-243*s[2])/4 - (2375*s[3])/24 - 
       (75761*s[4])/16 - (852011*s[5])/264 - (4600031*s[6])/528 - 
       (747047809*s[7])/9504 + (29535571*s[8])/4752 + (14360593*s[9])/216 + 
       (1140917*s[10])/54 + (274918145*s[11])/3168 + (75459569*s[12])/792 + 
       (544966757*s[13])/9504 + (33357989*s[14])/3168 + 
       (89267611*s[15])/864 + (315344393*s[16])/2376 + 
       (961757761*s[17])/9504 + (9156121*s[18])/648 + (15504109*s[19])/1296 + 
       (2242149097*s[20])/14256 + (536830181*s[21])/9504 - 
       (1184046287*s[22])/28512 - (25887758*s[23])/297 - 
       (620467601*s[24])/7128 + (2358170917*s[25])/21384 - 
       (1290595093*s[26])/21384 - (4*s[30])/3 - 9*s[31] - 3*s[32] + 
       (65*s[33])/8 - 11*s[34] + (109*s[35])/6 + (265*s[36])/2 - 
       (1291*s[37])/9 - (8147*s[38])/3 + (64121*s[39])/6 - (36817*s[40])/3 + 
       (29120*s[41])/3 - (61265*s[42])/4 - (217097*s[43])/22 + 
       (5538325*s[44])/528 - (4488325*s[45])/396 + (34853611*s[46])/396 - 
       (1563031*s[47])/528 - (1578871*s[48])/528 + (7953151*s[49])/176 - 
       (3000837*s[50])/44 - (16752601*s[51])/1584 - (4470335*s[52])/528 + 
       (110054101*s[53])/2376 - (35675*s[54])/396 + (469574909*s[55])/1584 + 
       (372010351*s[56])/4752 - (535580351*s[57])/7128 + 
       (5825678513*s[58])/42768 - (5862222473*s[59])/42768 - 
       (6958416917*s[60])/9504 + (3684476261*s[61])/96228 - 10*s[62] - 
       (7*s[65])/2 - 8*s[66] + 8*s[67] - 3*s[68] + 15*s[69] - (197*s[70])/3 + 
       10*s[71] - 17*s[72] + 13*s[73] + (149*s[74])/4 - (129*s[75])/4 + 
       (107*s[76])/3 + (445*s[77])/6 + 3*s[78] - (3952*s[79])/3 + 
       (3166*s[80])/9 + s[81]/3 - 2210*s[82] + 36*s[83] - 588*s[84] - 
       584*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 
       1 - u]*((-55*s[2])/2 - 163*s[3] - (42697*s[4])/8 - (151927*s[5])/44 - 
       (831079*s[6])/88 - (7584351*s[7])/88 + (5445901*s[8])/792 + 
       (5247707*s[9])/72 + (207563*s[10])/9 + (25177865*s[11])/264 + 
       (13843685*s[12])/132 + (16748489*s[13])/264 + (1394155*s[14])/132 + 
       (453133*s[15])/4 + (38372705*s[16])/264 + (3636943*s[17])/33 + 
       (3322003*s[18])/216 + (360397*s[19])/27 + (203945605*s[20])/1188 + 
       (18305470*s[21])/297 - (54141677*s[22])/1188 - (25735357*s[23])/264 - 
       (226608097*s[24])/2376 + (5195342155*s[25])/42768 - 
       (2830911475*s[26])/42768 - 3*s[28] - 8*s[29] - (13*s[30])/2 - 
       15*s[31] + (31*s[32])/2 - (33*s[33])/8 - (15*s[34])/2 + 21*s[35] + 
       (403*s[36])/3 - (454*s[37])/3 - 3100*s[38] + 11782*s[39] - 
       (40537*s[40])/3 + 10640*s[41] - (100957*s[42])/6 - (720103*s[43])/66 + 
       (1521035*s[44])/132 - (1629037*s[45])/132 + (4221681*s[46])/44 - 
       (1266901*s[47])/396 - (1302211*s[48])/396 + (19716625*s[49])/396 - 
       (2451272*s[50])/33 - (4622093*s[51])/396 - (3695447*s[52])/396 + 
       (6628097*s[53])/132 + (11119*s[54])/22 + (42528845*s[55])/132 + 
       (33516623*s[56])/396 - (50466061*s[57])/594 + (133245502*s[58])/891 - 
       (536720977*s[59])/3564 - (237170102*s[60])/297 + 
       (2648348531*s[61])/64152 + 12*s[63] - 8*s[65] - 16*s[66] + 18*s[67] - 
       7*s[68] + 37*s[69] - 112*s[70] + 17*s[71] - 16*s[72] - 24*s[73] + 
       37*s[74] - 41*s[75] + 14*s[76] + 130*s[77] + 16*s[78] - 1420*s[79] + 
       (1024*s[80])/3 - 2176*s[82] + 45*s[83] - 618*s[84] - 572*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((-225*s[2])/4 - (1751*s[3])/8 - (82397*s[4])/16 - (287359*s[5])/88 - 
       (1614301*s[6])/176 - (29069457*s[7])/352 + (31553651*s[8])/4752 + 
       (7518859*s[9])/108 + (2391653*s[10])/108 + (289067195*s[11])/3168 + 
       (9929273*s[12])/99 + (192305657*s[13])/3168 + (31456583*s[14])/3168 + 
       (31270039*s[15])/288 + (110381921*s[16])/792 + 
       (335494277*s[17])/3168 + (2384839*s[18])/162 + (16553671*s[19])/1296 + 
       (2336128831*s[20])/14256 + (1671542285*s[21])/28512 - 
       (1241980813*s[22])/28512 - (74770975*s[23])/792 - 
       (325099091*s[24])/3564 + (14953082341*s[25])/128304 - 
       (8121440101*s[26])/128304 - 26*s[29] - (9*s[30])/2 - 28*s[31] + 
       4*s[32] + 8*s[33] - (31*s[34])/2 + (31*s[35])/2 + (281*s[36])/2 - 
       (941*s[37])/6 - (5707*s[38])/2 + (22375*s[39])/2 - 12836*s[40] + 
       (40555*s[41])/4 - (32065*s[42])/2 - (112987*s[43])/11 + 
       (1927347*s[44])/176 - (766481*s[45])/66 + (3001780*s[46])/33 - 
       (1647599*s[47])/528 - (1613807*s[48])/528 + (24858341*s[49])/528 - 
       (774467*s[50])/11 - (1943949*s[51])/176 - (4680523*s[52])/528 + 
       (37766917*s[53])/792 - (10993*s[54])/66 + (161114023*s[55])/528 + 
       (127796485*s[56])/1584 - (190800107*s[57])/2376 + 
       (2017192883*s[58])/14256 - (2028454691*s[59])/14256 - 
       (2396359387*s[60])/3168 + (2523367417*s[61])/64152 - 11*s[62] - 
       4*s[65] - 8*s[66] + 8*s[67] - 4*s[68] + 18*s[69] - 64*s[70] + 
       (21*s[71])/2 - 13*s[72] + 17*s[73] + (161*s[74])/4 - (133*s[75])/4 + 
       37*s[76] + (143*s[77])/2 + 3*s[78] - 1396*s[79] + (1102*s[80])/3 + 
       s[81]/3 - 2176*s[82] + 45*s[83] - 618*s[84] - 572*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      (-40*s[2] - (749*s[3])/3 - (25195*s[4])/12 - (64280*s[5])/33 - 
       (602765*s[6])/132 - (32412373*s[7])/792 + (2606891*s[8])/891 + 
       (5593937*s[9])/162 + (3986801*s[10])/324 + (105027257*s[11])/2376 + 
       (13904345*s[12])/297 + (65547413*s[13])/2376 + (18854981*s[14])/2376 + 
       (12310027*s[15])/216 + (84249991*s[16])/1188 + 
       (138437831*s[17])/2376 + (3594721*s[18])/486 + (1683823*s[19])/243 + 
       (904627423*s[20])/10692 + (665051027*s[21])/21384 - 
       (456727357*s[22])/21384 - (46968695*s[23])/1188 - 
       (124509593*s[24])/2673 + (10589499359*s[25])/192456 - 
       (6026944445*s[26])/192456 - s[28]/3 + (4*s[29])/3 + 3*s[30] + 
       (2*s[31])/3 + (20*s[32])/3 + (47*s[33])/4 - (61*s[34])/3 - 
       (68*s[35])/3 + (57*s[36])/2 + (833*s[37])/9 - (5587*s[38])/6 + 
       (31383*s[39])/8 - (110273*s[40])/24 + (30489*s[41])/8 - 
       (132767*s[42])/24 - (1175003*s[43])/264 + (2341333*s[44])/528 - 
       (2488483*s[45])/396 + (34364945*s[46])/792 - (419407*s[47])/1584 - 
       (4389373*s[48])/1584 + (32397241*s[49])/1584 - (1143025*s[50])/33 - 
       (1942991*s[51])/528 - (4150799*s[52])/1584 + (14551483*s[53])/594 + 
       (258539*s[54])/198 + (251504885*s[55])/1584 + (187914937*s[56])/4752 - 
       (29734249*s[57])/3564 + (2533280351*s[58])/42768 - 
       (2644246733*s[59])/42768 - (391791535*s[60])/1056 + 
       (7753689683*s[61])/384912 - (2*s[64])/3 - (2*s[65])/3 + 4*s[67] + 
       (88*s[68])/3 - (70*s[69])/3 - (38*s[70])/3 + 9*s[71] - 16*s[72] - 
       (85*s[73])/3 + (25*s[74])/3 - 10*s[75] - (22*s[76])/3 + 
       (106*s[77])/3 + (65*s[78])/3 - (1096*s[79])/3 + (745*s[80])/9 - 
       2368*s[82] + (3*s[83])/2 - 221*s[84] - 572*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[v, u, w]*
      ((32*s[2])/3 - (1072*s[3])/3 - (872*s[4])/3 - (24448*s[5])/33 - 
       (48244*s[6])/33 - (1213588*s[7])/99 + (40060*s[8])/99 + 
       (92228*s[9])/9 + (49072*s[10])/9 + (409834*s[11])/33 + 
       (380174*s[12])/33 + (603212*s[13])/99 + (205144*s[14])/33 + 
       (179092*s[15])/9 + (2323688*s[16])/99 + (2320810*s[17])/99 + 
       (19064*s[18])/9 + (28880*s[19])/9 + (2929132*s[20])/99 + 
       (3294040*s[21])/297 - (1834828*s[22])/297 - (162310*s[23])/99 - 
       (4855402*s[24])/297 + (37438822*s[25])/2673 - (24625630*s[26])/2673 + 
       (128*s[31])/3 + (32*s[32])/3 + 32*s[33] - (256*s[34])/3 - 
       (256*s[35])/3 - (448*s[36])/9 + (1456*s[37])/9 + (400*s[38])/3 - 
       (1376*s[39])/3 + (1696*s[40])/9 + 32*s[41] + (8360*s[42])/9 - 
       (73984*s[43])/99 + (69772*s[44])/99 - (263024*s[45])/99 + 
       (416000*s[46])/33 + (410500*s[47])/297 - (852476*s[48])/297 + 
       (1193648*s[49])/297 - (1102240*s[50])/99 + (138608*s[51])/297 + 
       (272132*s[52])/297 + (804752*s[53])/99 + (55832*s[54])/33 + 
       (5704156*s[55])/99 + (3825808*s[56])/297 + (24978872*s[57])/891 + 
       (24636896*s[58])/2673 - (28813544*s[59])/2673 - 
       (111489328*s[60])/891 + (173974352*s[61])/24057 + (128*s[68])/3 - 
       (128*s[69])/3 - (32*s[74])/3 + (32*s[75])/3 - (128*s[76])/3 + 
       (128*s[77])/3 + (128*s[78])/3 - (256*s[79])/3 + (896*s[80])/9 - 
       2720*s[82] - 512*s[85]) + HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 
       1 - v]*((-47*s[2])/2 - (511*s[3])/2 - (65239*s[4])/16 - 
       (1206577*s[5])/528 - (1762259*s[6])/264 - (285123199*s[7])/4752 + 
       (37705099*s[8])/7128 + (8137967*s[9])/162 + (19671503*s[10])/1296 + 
       (39513701*s[11])/594 + (351241277*s[12])/4752 + 
       (70596077*s[13])/1584 + (1671403*s[14])/297 + (3748919*s[15])/48 + 
       (53152013*s[16])/528 + (22265270*s[17])/297 + (5245351*s[18])/486 + 
       (8738479*s[19])/972 + (629255189*s[20])/5346 + 
       (1778943985*s[21])/42768 - (673508035*s[22])/21384 - 
       (117096949*s[23])/1584 - (2797183823*s[24])/42768 + 
       (16521712967*s[25])/192456 - (8841249137*s[26])/192456 - 11*s[28] + 
       (11*s[29])/6 - (61*s[30])/4 + (49*s[31])/6 - (185*s[32])/12 + 
       (625*s[33])/48 - (359*s[34])/12 + (287*s[35])/6 + (2057*s[36])/18 - 
       (743*s[37])/6 - (6545*s[38])/3 + (205967*s[39])/24 - 
       (708101*s[40])/72 + (61947*s[41])/8 - (885601*s[42])/72 - 
       (6202123*s[43])/792 + (13184813*s[44])/1584 - (2460269*s[45])/264 + 
       (28047035*s[46])/396 - (12256483*s[47])/4752 - (9596221*s[48])/4752 + 
       (168166033*s[49])/4752 - (21527939*s[50])/396 - 
       (41283989*s[51])/4752 - (32638739*s[52])/4752 + (22218791*s[53])/594 - 
       (433795*s[54])/396 + (42137351*s[55])/176 + (305748895*s[56])/4752 - 
       (441745943*s[57])/7128 + (4724910143*s[58])/42768 - 
       (4753523375*s[59])/42768 - (16631390461*s[60])/28512 + 
       (6054822121*s[61])/192456 + 17*s[63] + s[64] - (23*s[65])/6 - 
       (25*s[66])/3 + (59*s[67])/6 - (199*s[68])/6 + (43*s[69])/3 - 
       (353*s[70])/3 + (71*s[71])/6 - (23*s[72])/3 + s[73]/3 + (65*s[74])/2 - 
       (127*s[75])/4 + (85*s[76])/6 + (424*s[77])/3 + (16*s[78])/3 - 
       846*s[79] + (1021*s[80])/6 - 1322*s[82] + 10*s[83] - 389*s[84] - 
       504*s[85]) + HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      (-92*s[2] - (2181*s[3])/8 - 4699*s[4] - (1573483*s[5])/528 - 
       (4413589*s[6])/528 - (700334171*s[7])/9504 + (88332599*s[8])/14256 + 
       (40054199*s[9])/648 + (24777359*s[10])/1296 + (773775179*s[11])/9504 + 
       (426389129*s[12])/4752 + (171920861*s[13])/3168 + 
       (76628075*s[14])/9504 + (27820079*s[15])/288 + 
       (196124525*s[16])/1584 + (891507697*s[17])/9504 + 
       (26088775*s[18])/1944 + (42440815*s[19])/3888 + 
       (6201332761*s[20])/42768 + (4446875339*s[21])/85536 - 
       (3305880901*s[22])/85536 - (138980645*s[23])/1584 - 
       (3429158939*s[24])/42768 + (10039999093*s[25])/96228 - 
       (5441707267*s[26])/96228 - s[28]/4 + (10*s[29])/3 - (73*s[30])/4 - 
       (305*s[31])/6 - (125*s[32])/12 - (2441*s[33])/48 + (565*s[34])/12 + 
       (388*s[35])/3 + (1261*s[36])/9 - (305*s[37])/3 - (7850*s[38])/3 + 
       (247733*s[39])/24 - (831083*s[40])/72 + (72453*s[41])/8 - 
       (1063849*s[42])/72 - (7244497*s[43])/792 + (949946*s[44])/99 - 
       (342917*s[45])/33 + (64427287*s[46])/792 - (4114669*s[47])/1188 - 
       (3631415*s[48])/2376 + (12266599*s[49])/297 - (6137075*s[50])/99 - 
       (24470881*s[51])/2376 - (19638415*s[52])/2376 + 
       (50811913*s[53])/1188 - (141067*s[54])/99 + (11958025*s[55])/44 + 
       (21710416*s[56])/297 - (275013139*s[57])/3564 + 
       (2739529063*s[58])/21384 - (1378128533*s[59])/10692 - 
       (4732426687*s[60])/7128 + (13768677227*s[61])/384912 - s[64] + 
       (2*s[65])/3 + (20*s[66])/3 - (14*s[67])/3 - (223*s[68])/6 - 
       (8*s[69])/3 - (185*s[70])/3 + (40*s[71])/3 - (116*s[72])/3 + 
       (37*s[73])/3 + (87*s[74])/2 - (95*s[75])/2 + (239*s[76])/3 + 
       (467*s[77])/6 - (302*s[78])/3 - 864*s[79] + 147*s[80] + s[81]/3 - 
       1322*s[82] + 10*s[83] - 389*s[84] - 504*s[85]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((-241*s[2])/4 - (2365*s[3])/8 - (95069*s[4])/16 - (1224821*s[5])/264 - 
       (5913799*s[6])/528 - (956448113*s[7])/9504 + (111546587*s[8])/14256 + 
       (27594097*s[9])/324 + (17377015*s[10])/648 + (1051124957*s[11])/9504 + 
       (286183399*s[12])/2376 + (25508249*s[13])/352 + 
       (129340661*s[14])/9504 + (38892745*s[15])/288 + 
       (269626861*s[16])/1584 + (1254837703*s[17])/9504 + 
       (35393461*s[18])/1944 + (60196825*s[19])/3888 + 
       (8612982589*s[20])/42768 + (6315632459*s[21])/85536 - 
       (4522483747*s[22])/85536 - (19900093*s[23])/176 - 
       (4759956467*s[24])/42768 + (3371450098*s[25])/24057 - 
       (3749537951*s[26])/48114 - (56*s[29])/3 - 10*s[30] + (2*s[31])/3 - 
       (103*s[32])/6 + (467*s[33])/24 + (70*s[34])/3 + (401*s[35])/6 + 
       (1558*s[36])/9 - (622*s[37])/3 - (10985*s[38])/3 + (322955*s[39])/24 - 
       (1080401*s[40])/72 + (94089*s[41])/8 - (1375105*s[42])/72 - 
       (9613567*s[43])/792 + (19675421*s[44])/1584 - (1809787*s[45])/132 + 
       (83718295*s[46])/792 - (20029111*s[47])/4752 - (10033741*s[48])/4752 + 
       (256251169*s[49])/4752 - (31974983*s[50])/396 - 
       (62897297*s[51])/4752 - (51724199*s[52])/4752 + 
       (132472061*s[53])/2376 - (428093*s[54])/198 + (188399147*s[55])/528 + 
       (450609631*s[56])/4752 - (693171335*s[57])/7128 + 
       (7115356031*s[58])/42768 - (7215120257*s[59])/42768 - 
       (24695983231*s[60])/28512 + (17757348287*s[61])/384912 - (3*s[64])/2 - 
       (29*s[65])/6 - (31*s[66])/3 + (67*s[67])/3 + (16*s[68])/3 + 
       (118*s[69])/3 - (146*s[70])/3 + (155*s[71])/6 - (77*s[72])/3 - 
       (53*s[73])/3 + (163*s[74])/4 - (185*s[75])/4 + (164*s[76])/3 + 
       (269*s[77])/6 - (89*s[78])/3 - 1094*s[79] + (506*s[80])/3 - 
       278*s[82] + 4*s[83] - 482*s[84] - 480*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - u]*((17*s[2])/2 - 100*s[3] - 
       (54965*s[4])/8 - (356647*s[5])/88 - (498433*s[6])/44 - 
       (27710417*s[7])/264 + (1773647*s[8])/198 + (1591285*s[9])/18 + 
       (1936829*s[10])/72 + (15410819*s[11])/132 + (8568401*s[12])/66 + 
       (10393309*s[13])/132 + (2671621*s[14])/264 + (1087801*s[15])/8 + 
       (23176591*s[16])/132 + (2860795*s[17])/22 + (2001445*s[18])/108 + 
       (870703*s[19])/54 + (244611155*s[20])/1188 + (21675062*s[21])/297 - 
       (131796053*s[22])/2376 - (32857435*s[23])/264 - 
       (273892943*s[24])/2376 + (1605569285*s[25])/10692 - 
       (214958993*s[26])/2673 - 2*s[27] - 2*s[28] + 4*s[29] - (27*s[30])/2 - 
       5*s[31] + 17*s[32] + (531*s[33])/8 - (33*s[34])/2 + 51*s[35] + 
       221*s[36] - 317*s[37] - 4136*s[38] + (31003*s[39])/2 - 
       (35077*s[40])/2 + (27355*s[41])/2 - (44289*s[42])/2 - 
       (305245*s[43])/22 + (1293997*s[44])/88 - (332103*s[45])/22 + 
       (1319001*s[46])/11 - (1261669*s[47])/264 - (810097*s[48])/264 + 
       (16678063*s[49])/264 - (2028335*s[50])/22 - (1362899*s[51])/88 - 
       (3290081*s[52])/264 + (8225119*s[53])/132 - (5438*s[54])/11 + 
       (35005227*s[55])/88 + (9243983*s[56])/88 - (5172875*s[57])/44 + 
       (150404801*s[58])/792 - (151153361*s[59])/792 - 
       (1569741625*s[60])/1584 + (90790819*s[61])/1782 + 8*s[63] - 2*s[64] - 
       7*s[65] - 8*s[66] + 2*s[67] - 31*s[68] + 39*s[69] - 130*s[70] + 
       16*s[71] - 22*s[72] - 2*s[73] + (109*s[74])/2 - (117*s[75])/2 + 
       9*s[76] + 117*s[77] + 14*s[78] - 1668*s[79] + 410*s[80] - 1786*s[82] + 
       51*s[83] - 726*s[84] - 476*s[85]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 0, 1}, 1 - v]*((-487*s[2])/4 - (1167*s[3])/8 - 
       (112193*s[4])/16 - (368419*s[5])/88 - (2081045*s[6])/176 - 
       (114066295*s[7])/1056 + (43820647*s[8])/4752 + (9812261*s[9])/108 + 
       (2995243*s[10])/108 + (380024719*s[11])/3168 + (105467729*s[12])/792 + 
       (255954505*s[13])/3168 + (32935519*s[14])/3168 + 
       (40417019*s[15])/288 + (17917085*s[16])/99 + (426235009*s[17])/3168 + 
       (1550281*s[18])/81 + (21161927*s[19])/1296 + (3016847051*s[20])/
        14256 + (2144290045*s[21])/28512 - (1625423381*s[22])/28512 - 
       (102523367*s[23])/792 - (105318580*s[24])/891 + 
       (19807848167*s[25])/128304 - (10630699655*s[26])/128304 + 4*s[28] - 
       4*s[29] - (25*s[30])/2 - 45*s[31] + (19*s[32])/2 - (9*s[33])/4 + 
       (59*s[34])/2 + (111*s[35])/2 + (755*s[36])/3 - (3881*s[37])/12 - 
       (8191*s[38])/2 + (127227*s[39])/8 - (429937*s[40])/24 + 
       (111873*s[41])/8 - (547637*s[42])/24 - (338389*s[43])/24 + 
       (180473*s[44])/12 - (358541*s[45])/24 + (484197*s[46])/4 - 
       (367337*s[47])/72 - (99229*s[48])/36 + (4633955*s[49])/72 - 
       (278333*s[50])/3 - (563723*s[51])/36 - (913957*s[52])/72 + 
       (1510865*s[53])/24 - (2117*s[54])/2 + (1600365*s[55])/4 + 
       (7629295*s[56])/72 - (26188339*s[57])/216 + (31094429*s[58])/162 - 
       (31294517*s[59])/162 - (107714447*s[60])/108 + 
       (298849157*s[61])/5832 - 12*s[62] + s[65] + 4*s[66] - 14*s[67] - 
       36*s[68] + 4*s[69] - 81*s[70] + (13*s[71])/2 - 39*s[72] + 55*s[73] + 
       (255*s[74])/4 - (223*s[75])/4 + 53*s[76] + (135*s[77])/2 - 63*s[78] - 
       1676*s[79] + (2545*s[80])/6 + s[81]/3 - 1786*s[82] + 51*s[83] - 
       726*s[84] - 476*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v]*(5*s[2] - (2657*s[3])/8 - (29085*s[4])/16 - 
       (82011*s[5])/88 - (503213*s[6])/176 - (29496805*s[7])/1056 + 
       (1208819*s[8])/528 + (552551*s[9])/24 + (103361*s[10])/12 + 
       (10817241*s[11])/352 + (1468331*s[12])/44 + (20766161*s[13])/1056 + 
       (1181805*s[14])/352 + (3674191*s[15])/96 + (12931109*s[16])/264 + 
       (40938721*s[17])/1056 + (105481*s[18])/24 + (95821*s[19])/16 + 
       (29740045*s[20])/528 + (61980883*s[21])/3168 - (46006039*s[22])/3168 - 
       (3709109*s[23])/132 - (26074303*s[24])/792 + (140010713*s[25])/3564 - 
       (37421779*s[26])/1782 + 12*s[29] - 3*s[30] + 37*s[31] - 5*s[32] + 
       (403*s[33])/8 - (117*s[34])/2 + (73*s[35])/2 + (209*s[36])/4 + 
       60*s[37] - 641*s[38] + (45159*s[39])/16 - (53043*s[40])/16 + 
       (44007*s[41])/16 - (62075*s[42])/16 - (516777*s[43])/176 + 
       (1155833*s[44])/352 - (184159*s[45])/44 + (5247383*s[46])/176 - 
       (258703*s[47])/1056 - (2200225*s[48])/1056 + (15841885*s[49])/1056 - 
       (2122293*s[50])/88 - (2771657*s[51])/1056 - (1844735*s[52])/1056 + 
       (2879029*s[53])/176 + (113719*s[54])/44 + (37467187*s[55])/352 + 
       (27629087*s[56])/1056 - (986872*s[57])/99 + (398037601*s[58])/9504 - 
       (408151351*s[59])/9504 - (1631168107*s[60])/6336 + 
       (1184837341*s[61])/85536 + 2*s[64] + (15*s[65])/4 + 11*s[66] - 
       21*s[67] + (3*s[68])/2 - (85*s[69])/2 - 41*s[70] - 6*s[71] + 7*s[72] + 
       13*s[73] + 12*s[74] - (29*s[75])/2 - 43*s[76] + (123*s[77])/2 - 
       4*s[78] - 264*s[79] + 152*s[80] - 2544*s[82] - (15*s[83])/2 - 
       105*s[84] - 468*s[85]) + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 
       1 - u]*((-261*s[2])/4 - (1293*s[3])/8 - (49999*s[4])/8 - 
       (65539*s[5])/16 - (175903*s[6])/16 - (28689409*s[7])/288 + 
       (3561181*s[8])/432 + (18160397*s[9])/216 + (11169875*s[10])/432 + 
       (31754377*s[11])/288 + (17513119*s[12])/144 + (7064983*s[13])/96 + 
       (3267985*s[14])/288 + (12538423*s[15])/96 + (8031319*s[16])/48 + 
       (36325307*s[17])/288 + (1453991*s[18])/81 + (19283749*s[19])/1296 + 
       (255388397*s[20])/1296 + (183578905*s[21])/2592 - 
       (136275299*s[22])/2592 - (5588725*s[23])/48 - (141331465*s[24])/1296 + 
       (821904511*s[25])/5832 - (111738853*s[26])/1458 - (7*s[27])/4 - 
       5*s[28] + s[29]/2 - (47*s[30])/4 - 38*s[31] + 12*s[32] + 
       (159*s[33])/16 + (149*s[34])/4 + (123*s[35])/2 + (2755*s[36])/12 - 
       (6367*s[37])/24 - 3668*s[38] + (227251*s[39])/16 - (768997*s[40])/48 + 
       (200683*s[41])/16 - (980069*s[42])/48 - (6731975*s[43])/528 + 
       (14181571*s[44])/1056 - (7354841*s[45])/528 + (7308947*s[46])/66 - 
       (14308013*s[47])/3168 - (7881659*s[48])/3168 + 
       (182712743*s[49])/3168 - (2799941*s[50])/33 - (44869867*s[51])/3168 - 
       (36010933*s[52])/3168 + (45896899*s[53])/792 - (158267*s[54])/132 + 
       (389601497*s[55])/1056 + (34447137*s[56])/352 - (10530691*s[57])/99 + 
       (1660337039*s[58])/9504 - (1674251459*s[59])/9504 - 
       (17312024375*s[60])/19008 + (675958859*s[61])/14256 + 25*s[63] - 
       (7*s[64])/4 - 2*s[65] + 4*s[66] - 9*s[67] - 34*s[68] - 6*s[69] - 
       122*s[70] + 11*s[71] - 43*s[72] + 31*s[73] + (229*s[74])/4 - 
       (245*s[75])/4 + 27*s[76] + (265*s[77])/2 - 59*s[78] - 1430*s[79] + 
       (3941*s[80])/12 - 1555*s[82] + 27*s[83] - 612*s[84] - 464*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((-521*s[2])/8 - (3351*s[3])/16 - (189173*s[4])/32 - 
       (630695*s[5])/176 - (3533285*s[6])/352 - (576276961*s[7])/6336 + 
       (72637439*s[8])/9504 + (16507093*s[9])/216 + (5092295*s[10])/216 + 
       (637774271*s[11])/6336 + (88149551*s[12])/792 + 
       (427212853*s[13])/6336 + (60456443*s[14])/6336 + 
       (68470367*s[15])/576 + (60461659*s[16])/396 + (242333291*s[17])/2112 + 
       (10469483*s[18])/648 + (36054847*s[19])/2592 + 
       (5093401351*s[20])/28512 + (3617860289*s[21])/57024 - 
       (2730541921*s[22])/57024 - (85162513*s[23])/792 - 
       (1421228377*s[24])/14256 + (33196420237*s[25])/256608 - 
       (17840774425*s[26])/256608 + (15*s[28])/4 - 6*s[29] - (39*s[30])/4 - 
       (61*s[31])/2 - s[32]/4 + (61*s[33])/2 + (17*s[34])/4 + (137*s[35])/4 + 
       (2311*s[36])/12 - (1095*s[37])/4 - (13305*s[38])/4 + 
       (102879*s[39])/8 - (349079*s[40])/24 + (45691*s[41])/4 - 
       (443257*s[42])/24 - (3025567*s[43])/264 + (12852313*s[44])/1056 - 
       (1121337*s[45])/88 + (13318505*s[46])/132 - (13062095*s[47])/3168 - 
       (7677419*s[48])/3168 + (164953949*s[49])/3168 - (20462509*s[50])/264 - 
       (40965427*s[51])/3168 - (32856013*s[52])/3168 + 
       (83695129*s[53])/1584 - (108011*s[54])/66 + (355164605*s[55])/1056 + 
       (284043719*s[56])/3168 - (453803947*s[57])/4752 + 
       (4527084289*s[58])/28512 - (4547049781*s[59])/28512 - 
       (15802848359*s[60])/19008 + (5588993189*s[61])/128304 - (17*s[62])/2 + 
       s[64]/4 - (7*s[65])/4 - (19*s[67])/2 - 23*s[68] - s[69] - 
       (149*s[70])/2 + (21*s[71])/2 - (35*s[72])/2 + (53*s[73])/2 + 
       (415*s[74])/8 - (373*s[75])/8 + 34*s[76] + (253*s[77])/4 - 
       (29*s[78])/2 - 1402*s[79] + (709*s[80])/2 + s[81]/3 - 1555*s[82] + 
       27*s[83] - 612*s[84] - 464*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*((-194*s[2])/3 - 
       (2311*s[3])/12 - (103187*s[4])/24 - (408893*s[5])/132 - 
       (523873*s[6])/66 - (18916633*s[7])/264 + (13724863*s[8])/2376 + 
       (1632268*s[9])/27 + (2080787*s[10])/108 + (15566495*s[11])/198 + 
       (135863789*s[12])/1584 + (81419785*s[13])/1584 + (948136*s[14])/99 + 
       (858932*s[15])/9 + (95993177*s[16])/792 + (37144651*s[17])/396 + 
       (17027921*s[18])/1296 + (13969597*s[19])/1296 + 
       (2040862399*s[20])/14256 + (738079159*s[21])/14256 - 
       (536853527*s[22])/14256 - (64307461*s[23])/792 - 
       (1120416653*s[24])/14256 + (12816267877*s[25])/128304 - 
       (7053394285*s[26])/128304 - s[28]/3 + 6*s[29] - (15*s[30])/2 - 
       (49*s[31])/3 + (133*s[32])/12 - (3*s[33])/4 + (47*s[34])/3 + 
       (17*s[35])/2 + 152*s[36] - (1277*s[37])/9 - 2446*s[38] + 
       (78449*s[39])/8 - (88617*s[40])/8 + (210173*s[41])/24 - 
       (112621*s[42])/8 - (2352241*s[43])/264 + (3310139*s[44])/352 - 
       (4211015*s[45])/396 + (64457197*s[46])/792 - (3048325*s[47])/1056 - 
       (2151869*s[48])/1056 + (43081603*s[49])/1056 - (4160459*s[50])/66 - 
       (3411499*s[51])/352 - (8151167*s[52])/1056 + (207169771*s[53])/4752 - 
       (150701*s[54])/198 + (293452189*s[55])/1056 + (692259817*s[56])/9504 - 
       (926652041*s[57])/14256 + (10668263585*s[58])/85536 - 
       (10820613083*s[59])/85536 - (12771429299*s[60])/19008 + 
       (27558221129*s[61])/769824 + s[64]/2 + s[65] + 3*s[66] - 
       (29*s[67])/3 + 3*s[68] - (55*s[69])/3 - (32*s[70])/3 + (31*s[71])/4 - 
       33*s[72] + (127*s[73])/6 + (175*s[74])/4 - (491*s[75])/12 + 40*s[76] + 
       (61*s[77])/2 - (125*s[78])/6 - (2855*s[79])/3 + (3811*s[80])/18 - 
       1575*s[82] + (11*s[83])/4 - (865*s[84])/2 - 456*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[w, v, u]*((-32*s[2])/9 - 
       (928*s[3])/3 - (1520*s[4])/9 - (1936*s[5])/3 - (10972*s[6])/9 - 
       (280196*s[7])/27 + (21052*s[8])/81 + (707788*s[9])/81 + 
       (380600*s[10])/81 + (286394*s[11])/27 + (265942*s[12])/27 + 
       (48016*s[13])/9 + (143984*s[14])/27 + (451324*s[15])/27 + 
       (178672*s[16])/9 + (534874*s[17])/27 + (409172*s[18])/243 + 
       (696340*s[19])/243 + (6093776*s[20])/243 + (2273168*s[21])/243 - 
       (1279636*s[22])/243 - (6286*s[23])/9 - (3401482*s[24])/243 + 
       (26165498*s[25])/2187 - (17004578*s[26])/2187 + (256*s[31])/9 + 
       (32*s[32])/3 + (64*s[33])/3 - (512*s[34])/9 - (512*s[35])/9 - 
       (896*s[36])/27 + (3680*s[37])/27 + (160*s[38])/3 - (928*s[39])/3 + 
       (2336*s[40])/27 + (64*s[41])/3 + (20296*s[42])/27 - (18496*s[43])/27 + 
       (18640*s[44])/27 - (61088*s[45])/27 + (32096*s[46])/3 + 
       (96952*s[47])/81 - (208064*s[48])/81 + (309224*s[49])/81 - 
       (255136*s[50])/27 + (27368*s[51])/81 + (62816*s[52])/81 + 
       (20176*s[53])/3 + (5488*s[54])/3 + (1294480*s[55])/27 + 
       (851272*s[56])/81 + (5562056*s[57])/243 + (5852888*s[58])/729 - 
       (6732080*s[59])/729 - (26038336*s[60])/243 + (38953328*s[61])/6561 + 
       (320*s[68])/9 - (320*s[69])/9 - (64*s[74])/9 + (64*s[75])/9 - 
       (256*s[76])/9 + (320*s[77])/9 + (256*s[78])/9 - (512*s[79])/9 + 
       (1792*s[80])/27 - (7328*s[82])/3 - (1280*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((-9*s[2])/4 - 170*s[3] - (24533*s[4])/8 - (26309*s[5])/16 - 
       (77063*s[6])/16 - (3274111*s[7])/72 + (569531*s[8])/144 + 
       (5447375*s[9])/144 + (1777687*s[10])/144 + (807627*s[11])/16 + 
       (2675123*s[12])/48 + (2416367*s[13])/72 + (32385*s[14])/8 + 
       (8679655*s[15])/144 + (1396235*s[16])/18 + (2117771*s[17])/36 + 
       (1074059*s[18])/144 + (73679*s[19])/9 + (3211589*s[20])/36 + 
       (13494119*s[21])/432 - (5154667*s[22])/216 - (3736543*s[23])/72 - 
       (11083579*s[24])/216 + (506052679*s[25])/7776 - 
       (267939499*s[26])/7776 + 18*s[29] - (15*s[30])/2 + 8*s[31] + 3*s[32] + 
       (177*s[33])/8 - (37*s[34])/2 + (67*s[35])/2 + (895*s[36])/6 - 
       (1135*s[37])/24 - (6573*s[38])/4 + (50783*s[39])/8 - 
       (171145*s[40])/24 + (22747*s[41])/4 - (107539*s[42])/12 - 
       (1584179*s[43])/264 + (3328669*s[44])/528 - (3693527*s[45])/528 + 
       (9461457*s[46])/176 - (2423669*s[47])/1584 - (3212831*s[48])/1584 + 
       (44889995*s[49])/1584 - (5586001*s[50])/132 - (9720361*s[51])/1584 - 
       (7278115*s[52])/1584 + (15281983*s[53])/528 + (199975*s[54])/88 + 
       (97450079*s[55])/528 + (73945507*s[56])/1584 - (22922267*s[57])/594 + 
       (576741025*s[58])/7128 - (1181344205*s[59])/14256 - 
       (2141377267*s[60])/4752 + (6037760563*s[61])/256608 + 4*s[65] + 
       16*s[66] - 26*s[67] - (19*s[68])/2 - (85*s[69])/2 - 43*s[70] + 
       (5*s[71])/4 - 16*s[72] + 50*s[73] + 24*s[74] - 36*s[75] + 3*s[76] + 
       58*s[77] - 32*s[78] - 458*s[79] + (1271*s[80])/12 - 2004*s[82] - 
       (21*s[83])/2 - 231*s[84] - 420*s[85]) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1}, 1 - u]*((-171*s[2])/4 - (1553*s[3])/8 - 
       (46853*s[4])/8 - (598273*s[5])/176 - (1730313*s[6])/176 - 
       (279138683*s[7])/3168 + (36056731*s[8])/4752 + (15987277*s[9])/216 + 
       (9654631*s[10])/432 + (309460663*s[11])/3168 + 
       (171452815*s[12])/1584 + (208061879*s[13])/3168 + 
       (27017131*s[14])/3168 + (33080629*s[15])/288 + 
       (233912887*s[16])/1584 + (38843213*s[17])/352 + (2533775*s[18])/162 + 
       (17140049*s[19])/1296 + (2459048783*s[20])/14256 + 
       (1748173963*s[21])/28512 - (1322566049*s[22])/28512 - 
       (168393947*s[23])/1584 - (1369453309*s[24])/14256 + 
       (2017745761*s[25])/16038 - (4331945779*s[26])/64152 + (7*s[27])/4 - 
       s[28] + (15*s[29])/2 - (83*s[30])/4 - 19*s[31] + s[32]/2 - 
       (881*s[33])/16 + (117*s[34])/4 + (119*s[35])/2 + (2233*s[36])/12 - 
       (5725*s[37])/24 - (6537*s[38])/2 + (205589*s[39])/16 - 
       (696211*s[40])/48 + (181693*s[41])/16 - (889883*s[42])/48 - 
       (548587*s[43])/48 + (1161947*s[44])/96 - (607801*s[45])/48 + 
       (1204907*s[46])/12 - (1209349*s[47])/288 - (569083*s[48])/288 + 
       (14868319*s[49])/288 - (461183*s[50])/6 - (3712235*s[51])/288 - 
       (2974085*s[52])/288 + (3792803*s[53])/72 - (18973*s[54])/12 + 
       (32182793*s[55])/96 + (8583179*s[56])/96 - (193915*s[57])/2 + 
       (137018567*s[58])/864 - (137987123*s[59])/864 - 
       (1422585535*s[60])/1728 + (168062915*s[61])/3888 + 21*s[63] + 
       (7*s[64])/4 - 2*s[65] - 4*s[66] + 7*s[67] - 28*s[68] + 15*s[69] - 
       98*s[70] + 11*s[71] - 39*s[72] + 3*s[73] + (217*s[74])/4 - 
       (233*s[75])/4 + 57*s[76] + (241*s[77])/2 - 55*s[78] - 1322*s[79] + 
       (3407*s[80])/12 - 1351*s[82] + 27*s[83] - 588*s[84] - 416*s[85]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((-209*s[2])/8 - (3463*s[3])/16 - (183941*s[4])/32 - 
       (572501*s[5])/176 - (3372937*s[6])/352 - (544362601*s[7])/6336 + 
       (71228803*s[8])/9504 + (1944265*s[9])/27 + (1180891*s[10])/54 + 
       (602716399*s[11])/6336 + (83489755*s[12])/792 + 
       (135220391*s[13])/2112 + (50105323*s[14])/6336 + 
       (21522037*s[15])/192 + (12677123*s[16])/88 + (683491817*s[17])/6336 + 
       (4898933*s[18])/324 + (33844799*s[19])/2592 + (4772964023*s[20])/
        28512 + (3371050249*s[21])/57024 - (2575146449*s[22])/57024 - 
       (27628103*s[23])/264 - (1335475709*s[24])/14256 + 
       (31541565791*s[25])/256608 - (16828315355*s[26])/256608 - s[27]/2 - 
       (15*s[28])/4 - 18*s[29] - (75*s[30])/4 - (79*s[31])/2 - (11*s[32])/4 - 
       (67*s[33])/4 + (29*s[34])/4 + (231*s[35])/4 + (779*s[36])/4 - 
       (3185*s[37])/12 - (12443*s[38])/4 + 12420*s[39] - (56093*s[40])/4 + 
       (87799*s[41])/8 - (35927*s[42])/2 - (120354*s[43])/11 + 
       (4109593*s[44])/352 - (3195007*s[45])/264 + (25501117*s[46])/264 - 
       (4328959*s[47])/1056 - (1915999*s[48])/1056 + (52390285*s[49])/1056 - 
       (6516085*s[50])/88 - (13126871*s[51])/1056 - (10548209*s[52])/1056 + 
       (80430439*s[53])/1584 - (134477*s[54])/66 + (340359067*s[55])/1056 + 
       (273696085*s[56])/3168 - (445247003*s[57])/4752 + 
       (4347726011*s[58])/28512 - (4376427659*s[59])/28512 - 
       (1672166149*s[60])/2112 + (2678362637*s[61])/64152 - 8*s[62] - 
       s[64]/4 + (7*s[65])/4 + 8*s[66] - (7*s[67])/2 - 25*s[68] - 
       (99*s[70])/2 + (15*s[71])/2 - (71*s[72])/2 + (69*s[73])/2 + 
       (431*s[74])/8 - (393*s[75])/8 + 84*s[76] + (245*s[77])/4 - 
       (101*s[78])/2 - 1346*s[79] + (1933*s[80])/6 + s[81]/3 - 1351*s[82] + 
       27*s[83] - 588*s[84] - 416*s[85]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 0, 1, 1}, 1 - w]*((-203*s[2])/12 - (1413*s[3])/8 - 
       (48115*s[4])/12 - (1569973*s[5])/528 - (3914413*s[6])/528 - 
       (649033117*s[7])/9504 + (75817363*s[8])/14256 + (37326061*s[9])/648 + 
       (24275077*s[10])/1296 + (714811957*s[11])/9504 + 
       (97594195*s[12])/1188 + (155772181*s[13])/3168 + 
       (89789923*s[14])/9504 + (2901829*s[15])/32 + (11464540*s[16])/99 + 
       (849262343*s[17])/9504 + (23805977*s[18])/1944 + 
       (42566717*s[19])/3888 + (5859327545*s[20])/42768 + 
       (4231056499*s[21])/85536 - (3073991357*s[22])/85536 - 
       (116926537*s[23])/1584 - (3259295341*s[24])/42768 + 
       (2292975395*s[25])/24057 - (10083794419*s[26])/192456 + s[28] + 
       14*s[29] - (7*s[30])/4 + (19*s[31])/3 + s[32]/12 + (139*s[33])/48 - 
       (11*s[34])/12 + (287*s[35])/6 + (1144*s[36])/9 - (367*s[37])/4 - 
       (28529*s[38])/12 + (108899*s[39])/12 - (366709*s[40])/36 + 
       (64691*s[41])/8 - (231367*s[42])/18 - (3286403*s[43])/396 + 
       (6888991*s[44])/792 - (2494889*s[45])/264 + (58002181*s[46])/792 - 
       (3126925*s[47])/1188 - (1275851*s[48])/594 + (90712187*s[49])/2376 - 
       (44828989*s[50])/792 - (5319829*s[51])/594 - (16971325*s[52])/2376 + 
       (91988279*s[53])/2376 + (104785*s[54])/792 + (195349931*s[55])/792 + 
       (152680415*s[56])/2376 - (441942209*s[57])/7128 + 
       (302155433*s[58])/2673 - (305762453*s[59])/2673 - 
       (4326942691*s[60])/7128 + (12225267641*s[61])/384912 + (7*s[64])/4 + 
       (23*s[65])/12 + (11*s[66])/3 - (95*s[67])/6 - (37*s[68])/3 - 
       (113*s[69])/6 - (46*s[70])/3 + (109*s[71])/12 - (44*s[72])/3 + 
       (64*s[73])/3 + (457*s[74])/12 - (227*s[75])/6 + (15*s[76])/2 + 
       (53*s[77])/6 - (43*s[78])/3 - 748*s[79] + (499*s[80])/3 - 1340*s[82] - 
       2*s[83] - 351*s[84] - 416*s[85]) + HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 0, 1, 1}, 1 - w]*((-421*s[2])/12 - (3935*s[3])/24 - 
       (11645*s[4])/3 - (1420823*s[5])/528 - (3704999*s[6])/528 - 
       (610841005*s[7])/9504 + (73825079*s[8])/14256 + (35046089*s[9])/648 + 
       (22521881*s[10])/1296 + (674658647*s[11])/9504 + 
       (23139440*s[12])/297 + (443675965*s[13])/9504 + 
       (78006785*s[14])/9504 + (73289171*s[15])/864 + 
       (516886661*s[16])/4752 + (87781937*s[17])/1056 + (2802665*s[18])/243 + 
       (39466351*s[19])/3888 + (5486866519*s[20])/42768 + 
       (3939101357*s[21])/85536 - (2892576787*s[22])/85536 - 
       (42479753*s[23])/594 - (763895237*s[24])/10692 + 
       (34752740377*s[25])/384912 - (18961483207*s[26])/384912 - s[27] - 
       s[28] + 10*s[29] - (7*s[30])/4 - (31*s[31])/3 + (35*s[32])/12 - 
       (493*s[33])/48 + (29*s[34])/12 + (313*s[35])/6 + (2267*s[36])/18 - 
       (974*s[37])/9 - (27241*s[38])/12 + (211775*s[39])/24 - 
       (715217*s[40])/72 + (94379*s[41])/12 - (905431*s[42])/72 - 
       (6286579*s[43])/792 + (6717217*s[44])/792 - (3531257*s[45])/396 + 
       (55565537*s[46])/792 - (791464*s[47])/297 - (4419659*s[48])/2376 + 
       (87306599*s[49])/2376 - (42970921*s[50])/792 - (20750023*s[51])/2376 - 
       (8189903*s[52])/1188 + (43930613*s[53])/1188 + (1739*s[54])/792 + 
       (186416047*s[55])/792 + (16275505*s[56])/264 - 
       (147737075*s[57])/2376 + (388426141*s[58])/3564 - 
       (98200360*s[59])/891 - (8271988319*s[60])/14256 + 
       (48098959*s[61])/1584 + (7*s[64])/4 + (23*s[65])/12 + (11*s[66])/3 - 
       (95*s[67])/6 - (37*s[68])/3 - (113*s[69])/6 - (46*s[70])/3 + 
       (25*s[71])/12 - (46*s[72])/3 + 30*s[73] + (155*s[74])/4 - 
       (73*s[75])/2 + (145*s[76])/6 + (55*s[77])/6 - (55*s[78])/3 - 
       (2288*s[79])/3 + (3481*s[80])/18 - 1340*s[82] - 2*s[83] - 351*s[84] - 
       416*s[85]) + HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - v]*
      ((-109*s[2])/2 - (2867*s[3])/4 - (70965*s[4])/8 - (189645*s[5])/44 - 
       (1257425*s[6])/88 - (60750803*s[7])/528 + (28530439*s[8])/2376 + 
       (2591029*s[9])/27 + (1267027*s[10])/54 + (204106255*s[11])/1584 + 
       (14616125*s[12])/99 + (142664077*s[13])/1584 + (12330523*s[14])/1584 + 
       (20382407*s[15])/144 + (18441541*s[16])/99 + (202354441*s[17])/1584 + 
       (4072885*s[18])/162 + (5655791*s[19])/648 + (1583669843*s[20])/7128 + 
       (1140317689*s[21])/14256 - (860349329*s[22])/14256 - 
       (35428831*s[23])/198 - (406790861*s[24])/3564 + 
       (10749767513*s[25])/64152 - (5814895829*s[26])/64152 - 84*s[28] + 
       51*s[30] + 20*s[31] - 145*s[32] - (55*s[33])/2 - 15*s[34] + 39*s[35] + 
       153*s[36] - (4583*s[37])/6 - 5151*s[38] + 20187*s[39] - 23270*s[40] + 
       (35771*s[41])/2 - 30065*s[42] - (184699*s[43])/11 + 
       (1584729*s[44])/88 - (2285143*s[45])/132 + (18702217*s[46])/132 - 
       (2269823*s[47])/264 + (85585*s[48])/264 + (18372581*s[49])/264 - 
       (1134811*s[50])/11 - (1878357*s[51])/88 - (4727017*s[52])/264 + 
       (7021316*s[53])/99 - (465314*s[54])/33 + (119951879*s[55])/264 + 
       (107522057*s[56])/792 - (244427089*s[57])/1188 + 
       (1760495425*s[58])/7128 - (1734705403*s[59])/7128 - 
       (588934699*s[60])/528 + (3999405271*s[61])/64152 + 96*s[63] + 
       8*s[64] - 36*s[65] - 64*s[66] + 96*s[67] - 240*s[68] + 184*s[69] - 
       680*s[70] + 48*s[71] - 46*s[72] + 98*s[73] + (81*s[74])/2 - 
       (97*s[75])/2 - 158*s[76] + 795*s[77] + 90*s[78] - 2548*s[79] + 
       (1825*s[80])/3 + 2208*s[82] + 111*s[83] - 1002*s[84] - 408*s[85]) + 
     HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - u]*(-364*s[2] - 572*s[3] - 
       (52555*s[4])/4 - (329095*s[5])/44 - (486833*s[6])/22 - 
       (25173389*s[7])/132 + (4877537*s[8])/297 + (4305499*s[9])/27 + 
       (4829201*s[10])/108 + (84203731*s[11])/396 + (94748129*s[12])/396 + 
       (14547340*s[13])/99 + (6450889*s[14])/396 + (8644343*s[15])/36 + 
       (61899395*s[16])/198 + (89488783*s[17])/396 + (5926873*s[18])/162 + 
       (1944805*s[19])/81 + (655221425*s[20])/1782 + (117280246*s[21])/891 - 
       (356611019*s[22])/3564 - (24495806*s[23])/99 - (178944563*s[24])/891 + 
       (2203833916*s[25])/8019 - (1182762613*s[26])/8019 + 48*s[29] - 
       21*s[30] - 186*s[31] - 14*s[32] - (1261*s[33])/4 + 223*s[34] + 
       439*s[35] + 364*s[36] - (1624*s[37])/3 - 7690*s[38] + 
       (58373*s[39])/2 - (65413*s[40])/2 + (50175*s[41])/2 - 
       (84257*s[42])/2 - (526219*s[43])/22 + (565153*s[44])/22 - 
       (1626857*s[45])/66 + (6730483*s[46])/33 - (414794*s[47])/33 - 
       (53791*s[48])/66 + (3447506*s[49])/33 - (1644842*s[50])/11 - 
       (1950095*s[51])/66 - (853114*s[52])/33 + (20080261*s[53])/198 - 
       (518432*s[54])/33 + (42533761*s[55])/66 + (18365572*s[56])/99 - 
       (159714971*s[57])/594 + (612753001*s[58])/1782 - 
       (600303895*s[59])/1782 - (640814477*s[60])/396 + 
       (712596647*s[61])/8019 + 12*s[64] + 12*s[65] - 216*s[68] - 296*s[70] + 
       60*s[71] - 36*s[72] + 8*s[73] + 137*s[74] - 137*s[75] + 234*s[76] + 
       358*s[77] - 228*s[78] - 2980*s[79] + (1978*s[80])/3 + 2*s[81] + 
       2208*s[82] + 111*s[83] - 1002*s[84] - 408*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((-221*s[2])/6 - (765*s[3])/4 - (27045*s[4])/8 - (203685*s[5])/88 - 
       (1628365*s[6])/264 - (44480951*s[7])/792 + (31780283*s[8])/7128 + 
       (30626773*s[9])/648 + (10025075*s[10])/648 + (293996687*s[11])/4752 + 
       (321317635*s[12])/4752 + (96250645*s[13])/2376 + (2220497*s[14])/297 + 
       (16082117*s[15])/216 + (226703113*s[16])/2376 + 
       (349680965*s[17])/4752 + (4875467*s[18])/486 + (8764373*s[19])/972 + 
       (300550718*s[20])/2673 + (430758605*s[21])/10692 - 
       (631921247*s[22])/21384 - (292047187*s[23])/4752 - 
       (2672940487*s[24])/42768 + (30260459945*s[25])/384912 - 
       (16512307499*s[26])/384912 - (2*s[28])/3 + 5*s[29] - (7*s[30])/2 - 
       (41*s[31])/3 - (29*s[32])/6 - (293*s[33])/24 + (7*s[34])/6 + 
       (160*s[35])/3 + (388*s[36])/3 - (189*s[37])/2 - (5653*s[38])/3 + 
       (60351*s[39])/8 - (68271*s[40])/8 + (162911*s[41])/24 - 
       (258049*s[42])/24 - (1800383*s[43])/264 + (1287987*s[44])/176 - 
       (2064125*s[45])/264 + (2018821*s[46])/33 - (3418903*s[47])/1584 - 
       (2795269*s[48])/1584 + (50553559*s[49])/1584 - (1571950*s[50])/33 - 
       (3911521*s[51])/528 - (9289055*s[52])/1584 + (12865403*s[53])/396 + 
       (89249*s[54])/132 + (108961091*s[55])/528 + (9396153*s[56])/176 - 
       (20323205*s[57])/396 + (49668391*s[58])/528 - (150791653*s[59])/1584 - 
       (4828073131*s[60])/9504 + (70716788*s[61])/2673 + (11*s[64])/6 + 
       s[65] - s[66]/3 - 6*s[67] - (16*s[68])/3 - (13*s[69])/3 - 
       (65*s[70])/3 + (2*s[71])/3 - (38*s[72])/3 + (20*s[73])/3 + 
       (107*s[74])/3 - (197*s[75])/6 + (86*s[76])/3 + (92*s[77])/3 - 
       (70*s[78])/3 - (2140*s[79])/3 + (542*s[80])/3 - 1464*s[82] - s[83]/2 - 
       333*s[84] - 392*s[85]) + HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - w]*
      (66*s[2] + s[3] - (18167*s[4])/2 - (91702*s[5])/11 - (381773*s[6])/22 - 
       (63979753*s[7])/396 + (6733163*s[8])/594 + (3758774*s[9])/27 + 
       (1141609*s[10])/27 + (70186775*s[11])/396 + (18995278*s[12])/99 + 
       (45955453*s[13])/396 + (9272927*s[14])/396 + (7916039*s[15])/36 + 
       (26872957*s[16])/99 + (27912763*s[17])/132 + (2397385*s[18])/81 + 
       (3846847*s[19])/162 + (580959943*s[20])/1782 + 
       (439195169*s[21])/3564 - (304831369*s[22])/3564 - 
       (17906519*s[23])/99 - (159082645*s[24])/891 + (3567199921*s[25])/
        16038 - (2042947681*s[26])/16038 - 96*s[29] + 56*s[31] - 26*s[32] + 
       109*s[33] + 72*s[34] + 44*s[35] + (164*s[36])/3 - 394*s[37] - 
       6488*s[38] + 21006*s[39] - (70238*s[40])/3 + 18284*s[41] - 
       (88378*s[42])/3 - (628942*s[43])/33 + (1211051*s[44])/66 - 
       (221955*s[45])/11 + (5090881*s[46])/33 - (1405537*s[47])/198 - 
       (386893*s[48])/198 + (15617935*s[49])/198 - (3820444*s[50])/33 - 
       (4177529*s[51])/198 - (3605807*s[52])/198 + (7845470*s[53])/99 - 
       (265328*s[54])/33 + (11317611*s[55])/22 + (27749113*s[56])/198 - 
       (50490722*s[57])/297 + (451242419*s[58])/1782 - 
       (456537317*s[59])/1782 - (1490379523*s[60])/1188 + 
       (1059344285*s[61])/16038 - 4*s[64] - 48*s[65] - 64*s[66] + 96*s[67] + 
       68*s[68] + 180*s[69] - 68*s[70] + 120*s[71] + 8*s[72] - 48*s[73] + 
       2*s[74] - 24*s[75] + 24*s[76] - 20*s[77] + 144*s[78] - 2072*s[79] + 
       108*s[80] + 5136*s[82] + 102*s[83] - 804*s[84] - 384*s[85]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*(11*s[2] - (93*s[3])/2 - 
       (11561*s[4])/4 - (20554*s[5])/11 - (221939*s[6])/44 - 
       (12582641*s[7])/264 + (495355*s[8])/132 + (242953*s[9])/6 + 
       (76775*s[10])/6 + (4675771*s[11])/88 + (1296499*s[12])/22 + 
       (9445135*s[13])/264 + (499979*s[14])/88 + (1474207*s[15])/24 + 
       (10544627*s[16])/132 + (15673535*s[17])/264 + (25358*s[18])/3 + 
       (90791*s[19])/12 + (12521431*s[20])/132 + (26889593*s[21])/792 - 
       (20061485*s[22])/792 - (6810967*s[23])/132 - (21093223*s[24])/396 + 
       (240825949*s[25])/3564 - (130601455*s[26])/3564 + 2*s[27] - 2*s[28] + 
       4*s[29] + 6*s[31] + 17*s[32] + 27*s[33] - 20*s[34] + 28*s[35] + 
       70*s[36] - (53*s[37])/3 - 1858*s[38] + 6686*s[39] - 7702*s[40] + 
       6129*s[41] - 9409*s[42] - (68432*s[43])/11 + (143551*s[44])/22 - 
       (456931*s[45])/66 + (3532753*s[46])/66 - (128867*s[47])/66 - 
       (126755*s[48])/66 + (1893557*s[49])/66 - (456458*s[50])/11 - 
       (447961*s[51])/66 - (357151*s[52])/66 + (5407397*s[53])/198 + 
       (36857*s[54])/33 + (11644843*s[55])/66 + (9118195*s[56])/198 - 
       (14818505*s[57])/297 + (74953783*s[58])/891 - (149396915*s[59])/1782 - 
       (88922609*s[60])/198 + (728672185*s[61])/32076 + 8*s[63] + 2*s[64] - 
       4*s[65] - 10*s[66] + 8*s[67] - 14*s[68] + 38*s[69] - 124*s[70] + 
       10*s[71] + 8*s[72] - 12*s[73] + 16*s[74] - 20*s[75] - 16*s[76] + 
       124*s[77] + 24*s[78] - 748*s[79] + (614*s[80])/3 - 1536*s[82] + 
       36*s[83] - 312*s[84] - 384*s[85]) + HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - v]*(-67*s[2] - 109*s[3] - 2619*s[4] - 1561*s[5] - 
       4512*s[6] - (83151*s[7])/2 + (176453*s[8])/54 + (1893779*s[9])/54 + 
       (302441*s[10])/27 + (1667123*s[11])/36 + (462562*s[12])/9 + 
       (1122893*s[13])/36 + (170465*s[14])/36 + (962293*s[15])/18 + 
       (2510219*s[16])/36 + (1860521*s[17])/36 + (602033*s[18])/81 + 
       (525448*s[19])/81 + (6682484*s[20])/81 + (9479981*s[21])/324 - 
       (7131919*s[22])/324 - (1679047*s[23])/36 - (14983975*s[24])/324 + 
       (43155431*s[25])/729 - (46459681*s[26])/1458 - 4*s[28] - 30*s[29] + 
       2*s[30] - 26*s[31] - 2*s[32] - (27*s[33])/2 - 8*s[34] - 28*s[35] + 
       (91*s[36])/3 - (148*s[37])/3 - 1594*s[38] + (23171*s[39])/4 - 
       (80557*s[40])/12 + (21187*s[41])/4 - (97337*s[42])/12 - 
       (722951*s[43])/132 + (1523839*s[44])/264 - (396293*s[45])/66 + 
       (2049489*s[46])/44 - (1220633*s[47])/792 - (1611815*s[48])/792 + 
       (19920515*s[49])/792 - (2376229*s[50])/66 - (4576303*s[51])/792 - 
       (3686545*s[52])/792 + (3136213*s[53])/132 + (5950*s[54])/11 + 
       (40524905*s[55])/264 + (31947217*s[56])/792 - (24840769*s[57])/594 + 
       (517440887*s[58])/7128 - (516036149*s[59])/7128 - 
       (1862604929*s[60])/4752 + (1272283313*s[61])/64152 - 12*s[62] - 
       s[65] - 2*s[66] + 4*s[67] - 16*s[68] + 18*s[69] - 70*s[70] + 4*s[71] + 
       12*s[72] + 28*s[73] + 14*s[74] - 8*s[75] + 18*s[76] + 48*s[77] + 
       48*s[78] - 712*s[79] + (616*s[80])/3 + s[81]/3 - 1536*s[82] + 
       36*s[83] - 312*s[84] - 384*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*(-31*s[2] - (427*s[3])/2 - 
       2358*s[4] - (148993*s[5])/88 - (300097*s[6])/66 - 
       (63208889*s[7])/1584 + (3751201*s[8])/1188 + (7243939*s[9])/216 + 
       (2392469*s[10])/216 + (4325933*s[11])/99 + (75077941*s[12])/1584 + 
       (14970685*s[13])/528 + (9243479*s[14])/1584 + (7718735*s[15])/144 + 
       (4492055*s[16])/66 + (21155185*s[17])/396 + (2341159*s[18])/324 + 
       (4094191*s[19])/648 + (571418545*s[20])/7128 + 
       (412770401*s[21])/14256 - (297811819*s[22])/14256 - 
       (22967729*s[23])/528 - (632442931*s[24])/14256 + 
       (7106253059*s[25])/128304 - (3922866785*s[26])/128304 - (9*s[30])/2 - 
       s[31] + 7*s[32] + (21*s[33])/8 - (17*s[34])/2 - 8*s[35] + 
       (397*s[36])/6 - (251*s[37])/6 - (3589*s[38])/3 + (59585*s[39])/12 - 
       (22705*s[40])/4 + 4512*s[41] - (85655*s[42])/12 - (630877*s[43])/132 + 
       (440427*s[44])/88 - (1581257*s[45])/264 + (11764129*s[46])/264 - 
       (237553*s[47])/198 - (715247*s[48])/396 + (17354059*s[49])/792 - 
       (763937*s[50])/22 - (431103*s[51])/88 - (2991377*s[52])/792 + 
       (6353849*s[53])/264 + (12295*s[54])/132 + (30498835*s[55])/198 + 
       (31894691*s[56])/792 - (35158699*s[57])/1188 + (59383790*s[58])/891 - 
       (482178835*s[59])/7128 - (881767829*s[60])/2376 + 
       (2579924195*s[61])/128304 + 12*s[68] - 12*s[69] - 3*s[70] + 3*s[71] - 
       18*s[72] + (37*s[74])/2 - (37*s[75])/2 + 12*s[76] + 20*s[77] - 
       7*s[78] - 478*s[79] + (392*s[80])/3 - 1622*s[82] - 216*s[84] - 
       384*s[85]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((47*s[2])/6 + (41*s[3])/2 - (154201*s[4])/48 - (999739*s[5])/528 - 
       (1304867*s[6])/264 - (117345307*s[7])/2376 + (29942951*s[8])/7128 + 
       (6726685*s[9])/162 + (17500333*s[10])/1296 + (258219641*s[11])/4752 + 
       (70713235*s[12])/1188 + (18799039*s[13])/528 + (5571029*s[14])/1188 + 
       (4765681*s[15])/72 + (16627681*s[16])/198 + (306830683*s[17])/4752 + 
       (7736359*s[18])/972 + (17265679*s[19])/1944 + (2074903111*s[20])/
        21384 + (1444129985*s[21])/42768 - (69546493*s[22])/2673 - 
       (9719283*s[23])/176 - (2373111643*s[24])/42768 + 
       (13482819007*s[25])/192456 - (3565176191*s[26])/96228 + 11*s[28] + 
       (25*s[29])/2 + (11*s[30])/4 + (5*s[31])/6 + (115*s[32])/12 + 
       (385*s[33])/48 - (35*s[34])/12 + (281*s[35])/6 + (1219*s[36])/9 - 
       (207*s[37])/4 - (5024*s[38])/3 + (41527*s[39])/6 - (69979*s[40])/9 + 
       (24995*s[41])/4 - (714025*s[42])/72 - (1230379*s[43])/198 + 
       (10794713*s[44])/1584 - (949447*s[45])/132 + (22617509*s[46])/396 - 
       (8597491*s[47])/4752 - (7499647*s[48])/4752 + (141941539*s[49])/4752 - 
       (4509809*s[50])/99 - (32511461*s[51])/4752 - (24400757*s[52])/4752 + 
       (74165207*s[53])/2376 + (137807*s[54])/99 + (312645577*s[55])/1584 + 
       (233843485*s[56])/4752 - (70712531*s[57])/1782 + 
       (3635014571*s[58])/42768 - (3732636671*s[59])/42768 - 
       (13649309845*s[60])/28512 + (4728694657*s[61])/192456 - 15*s[63] + 
       3*s[64] + (19*s[65])/6 + (23*s[66])/3 - (125*s[67])/6 + 
       (187*s[68])/6 - (94*s[69])/3 + (218*s[70])/3 - (37*s[71])/6 - 
       (59*s[72])/3 + (73*s[73])/3 + (127*s[74])/3 - (415*s[75])/12 + 
       (59*s[76])/2 - (185*s[77])/3 - (58*s[78])/3 - 738*s[79] + 
       (709*s[80])/3 - 1568*s[82] - 2*s[83] - 345*s[84] - 368*s[85]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((29*s[2])/3 - (1931*s[3])/24 - (19303*s[4])/6 - (1127927*s[5])/528 - 
       (2826359*s[6])/528 - (495608857*s[7])/9504 + (60879539*s[8])/14256 + 
       (28545269*s[9])/648 + (18481769*s[10])/1296 + (545212967*s[11])/9504 + 
       (74392445*s[12])/1188 + (354778381*s[13])/9504 + 
       (57494297*s[14])/9504 + (60727703*s[15])/864 + 
       (421983635*s[16])/4752 + (217310315*s[17])/3168 + 
       (8595185*s[18])/972 + (34588651*s[19])/3888 + (4452479773*s[20])/
        42768 + (3175967981*s[21])/85536 - (2352302191*s[22])/85536 - 
       (136561307*s[23])/2376 - (1247619469*s[24])/21384 + 
       (28177776277*s[25])/384912 - (15301844647*s[26])/384912 - s[28]/4 + 
       10*s[29] - (53*s[30])/4 + (103*s[31])/6 + (35*s[32])/12 + 
       (443*s[33])/48 + (89*s[34])/12 + (47*s[35])/3 + (1417*s[36])/9 - 
       (1399*s[37])/18 - (5269*s[38])/3 + (171335*s[39])/24 - 
       (573881*s[40])/72 + (152173*s[41])/24 - (184321*s[42])/18 - 
       (5130187*s[43])/792 + (684428*s[44])/99 - (2913749*s[45])/396 + 
       (46084523*s[46])/792 - (582862*s[47])/297 - (3154763*s[48])/2376 + 
       (72433217*s[49])/2376 - (18096569*s[50])/396 - (2060441*s[51])/297 - 
       (12764317*s[52])/2376 + (9340853*s[53])/297 + (276809*s[54])/198 + 
       (158082367*s[55])/792 + (13248953*s[56])/264 - 
       (106412885*s[57])/2376 + (628827425*s[58])/7128 - 
       (322799767*s[59])/3564 - (6896198351*s[60])/14256 + 
       (1058178667*s[61])/42768 + 3*s[62] + s[64] + (8*s[65])/3 + 
       (20*s[66])/3 - (46*s[67])/3 + (67*s[68])/6 - (37*s[69])/3 + 
       (71*s[70])/3 - (14*s[71])/3 - (94*s[72])/3 + 49*s[73] + 41*s[74] - 
       40*s[75] + (29*s[76])/3 - (83*s[77])/6 - (88*s[78])/3 - 
       (1904*s[79])/3 + (1466*s[80])/9 - s[81]/3 - 1568*s[82] - 2*s[83] - 
       345*s[84] - 368*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*((-125*s[2])/6 - 
       (4033*s[3])/24 - (45399*s[4])/16 - (173227*s[5])/88 - 
       (2682649*s[6])/528 - (36800543*s[7])/792 + (25829747*s[8])/7128 + 
       (50845499*s[9])/1296 + (16466635*s[10])/1296 + 
       (242710757*s[11])/4752 + (264626731*s[12])/4752 + 
       (79401859*s[13])/2376 + (29400161*s[14])/4752 + (13360067*s[15])/216 + 
       (374181389*s[16])/4752 + (144754015*s[17])/2376 + 
       (32455621*s[18])/3888 + (28805519*s[19])/3888 + 
       (3975291269*s[20])/42768 + (714643129*s[21])/21384 - 
       (522402887*s[22])/21384 - (242985871*s[23])/4752 - 
       (275554835*s[24])/5346 + (6245752751*s[25])/96228 - 
       (3420138995*s[26])/96228 - 2*s[29] - (13*s[30])/3 + 4*s[31] - 
       s[32]/2 + (155*s[33])/24 - (55*s[34])/6 + (106*s[35])/9 + 
       (461*s[36])/6 - 26*s[37] - (4855*s[38])/3 + (446809*s[39])/72 - 
       (507805*s[40])/72 + (203017*s[41])/36 - (315235*s[42])/36 - 
       (423901*s[43])/72 + (884693*s[44])/144 - (256285*s[45])/36 + 
       (3850379*s[46])/72 - (73927*s[47])/48 - (30803*s[48])/16 + 
       (487693*s[49])/18 - (751375*s[50])/18 - (441583*s[51])/72 - 
       (694165*s[52])/144 + (774149*s[53])/27 + (10847*s[54])/24 + 
       (26429045*s[55])/144 + (10169315*s[56])/216 - (12013369*s[57])/324 + 
       (78014489*s[58])/972 - (158633803*s[59])/1944 - 
       (193029043*s[60])/432 + (409520563*s[61])/17496 - s[65]/3 - 
       (4*s[66])/3 + (8*s[67])/3 + 11*s[68] - (17*s[69])/3 - (58*s[70])/3 + 
       (53*s[71])/6 - (44*s[72])/3 + 10*s[73] + (457*s[74])/18 - 
       (206*s[75])/9 + (82*s[76])/9 + (271*s[77])/9 - (2*s[78])/3 - 
       608*s[79] + 130*s[80] - (3428*s[82])/3 + (23*s[83])/2 - 271*s[84] - 
       (1096*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1}, 1 - w]*((-79*s[2])/2 - (225*s[3])/2 - 2525*s[4] - 
       (269659*s[5])/132 - (665095*s[6])/132 - (2973857*s[7])/66 + 
       (6180227*s[8])/1782 + (12353867*s[9])/324 + (4040479*s[10])/324 + 
       (116970541*s[11])/2376 + (63301717*s[12])/1188 + 
       (75511087*s[13])/2376 + (16585831*s[14])/2376 + (6536731*s[15])/108 + 
       (181922035*s[16])/2376 + (142904197*s[17])/2376 + 
       (8129251*s[18])/972 + (3295981*s[19])/486 + (486850927*s[20])/5346 + 
       (712041943*s[21])/21384 - (506283461*s[22])/21384 - 
       (116222549*s[23])/2376 - (1062360065*s[24])/21384 + 
       (11937443563*s[25])/192456 - (6670251253*s[26])/192456 - (8*s[30])/3 - 
       8*s[31] + (2*s[32])/3 + s[33]/2 + s[34] + 10*s[35] + (761*s[36])/9 - 
       (157*s[37])/9 - (8141*s[38])/6 + (33175*s[39])/6 - (113041*s[40])/18 + 
       (60697*s[41])/12 - (284257*s[42])/36 - (1065707*s[43])/198 + 
       (4366493*s[44])/792 - (2637631*s[45])/396 + (19594193*s[46])/396 - 
       (3069955*s[47])/2376 - (4467307*s[48])/2376 + (58129483*s[49])/2376 - 
       (15282463*s[50])/396 - (12713627*s[51])/2376 - (9969605*s[52])/2376 + 
       (63914255*s[53])/2376 + (16757*s[54])/99 + (45442733*s[55])/264 + 
       (11753573*s[56])/264 - (36831629*s[57])/1188 + 
       (523614061*s[58])/7128 - (535519615*s[59])/7128 - 
       (5874850453*s[60])/14256 + (236977669*s[61])/10692 - s[64]/2 + 
       s[65]/6 + s[66] - 2*s[67] + 12*s[68] - 14*s[69] - (26*s[70])/3 + 
       7*s[71] - 20*s[72] - 7*s[73] + 19*s[74] - (43*s[75])/2 + 
       (50*s[76])/3 + (59*s[77])/3 - 13*s[78] - 474*s[79] + (793*s[80])/9 - 
       1260*s[82] - (3*s[83])/4 - (495*s[84])/2 - 364*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((-403*s[2])/6 - (493*s[3])/12 - (31071*s[4])/8 - (84775*s[5])/33 - 
       (1823303*s[6])/264 - (294557957*s[7])/4752 + (36212125*s[8])/7128 + 
       (8462741*s[9])/162 + (5205833*s[10])/324 + (325251217*s[11])/4752 + 
       (22365389*s[12])/297 + (216588347*s[13])/4752 + 
       (33172141*s[14])/4752 + (35165395*s[15])/432 + 
       (247292959*s[16])/2376 + (124884677*s[17])/1584 + 
       (10840583*s[18])/972 + (17900315*s[19])/1944 + 
       (2612797205*s[20])/21384 + (1875746227*s[21])/42768 - 
       (1396687763*s[22])/42768 - (173250125*s[23])/2376 - 
       (1447236457*s[24])/21384 + (16857512105*s[25])/192456 - 
       (9141094751*s[26])/192456 + s[28]/3 - (46*s[29])/3 - (26*s[30])/3 - 
       (118*s[31])/3 - (23*s[32])/3 - (125*s[33])/12 + 34*s[34] + 
       (167*s[35])/3 + (1343*s[36])/9 - (1175*s[37])/9 - (6959*s[38])/3 + 
       9002*s[39] - (91211*s[40])/9 + 8025*s[41] - (115834*s[42])/9 - 
       (812773*s[43])/99 + (6794819*s[44])/792 - (910688*s[45])/99 + 
       (794488*s[46])/11 - (6343663*s[47])/2376 - (4521535*s[48])/2376 + 
       (88185877*s[49])/2376 - (11009975*s[50])/198 - (21207467*s[51])/2376 - 
       (16926035*s[52])/2376 + (2524495*s[53])/66 - (44959*s[54])/66 + 
       (64234325*s[55])/264 + (152680907*s[56])/2376 - (55702519*s[57])/891 + 
       (2391616729*s[58])/21384 - (2422066231*s[59])/21384 - 
       (8482419163*s[60])/14256 + (6033953281*s[61])/192456 - 4*s[62] + 
       (2*s[64])/3 - s[65] - (8*s[66])/3 + (22*s[67])/3 - (10*s[68])/3 + 
       16*s[69] - (130*s[70])/3 + (28*s[71])/3 - 26*s[72] - (26*s[73])/3 + 
       (217*s[74])/6 - (211*s[75])/6 + (122*s[76])/3 + 47*s[77] - 
       (70*s[78])/3 - 844*s[79] + (1550*s[80])/9 + s[81]/6 - 732*s[82] + 
       (11*s[83])/2 - 375*s[84] - 356*s[85]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((-337*s[2])/18 - (245*s[3])/4 - (13289*s[4])/9 - (13645*s[5])/11 - 
       (4496021*s[6])/1584 - (14271071*s[7])/528 + (30391565*s[8])/14256 + 
       (29607919*s[9])/1296 + (5003929*s[10])/648 + (279498023*s[11])/9504 + 
       (301234465*s[12])/9504 + (44292053*s[13])/2376 + 
       (5191141*s[14])/1188 + (5306437*s[15])/144 + (13756564*s[16])/297 + 
       (350327291*s[17])/9504 + (19191143*s[18])/3888 + 
       (16911319*s[19])/3888 + (1177985267*s[20])/21384 + 
       (53326285*s[21])/2673 - (607020011*s[22])/42768 - 
       (268350655*s[23])/9504 - (2587198063*s[24])/85536 + 
       (28456103603*s[25])/769824 - (15849004151*s[26])/769824 - s[28]/3 + 
       (11*s[29])/3 - 2*s[30] - (14*s[31])/9 - s[32]/2 + (41*s[33])/3 - 
       (35*s[34])/9 + (136*s[35])/9 + (6097*s[36])/108 - (3073*s[37])/108 - 
       (3977*s[38])/4 + (197333*s[39])/48 - (2021137*s[40])/432 + 
       (181427*s[41])/48 - (2531093*s[42])/432 - (19074131*s[43])/4752 + 
       (39838633*s[44])/9504 - (12524741*s[45])/2376 + 
       (60949681*s[46])/1584 - (26983295*s[47])/28512 - 
       (43354265*s[48])/28512 + (530571497*s[49])/28512 - 
       (35889749*s[50])/1188 - (115396405*s[51])/28512 - 
       (86991715*s[52])/28512 + (50155543*s[53])/2376 + (23764*s[54])/99 + 
       (1288892491*s[55])/9504 + (993485611*s[56])/28512 - 
       (54220403*s[57])/2673 + (14409389597*s[58])/256608 - 
       (14738761643*s[59])/256608 - (55130944835*s[60])/171072 + 
       (40475567981*s[61])/2309472 - s[62]/6 - (2*s[64])/3 + s[65]/3 + 
       4*s[66] - (20*s[67])/3 + (77*s[68])/9 - (158*s[69])/9 - (32*s[70])/3 + 
       (3*s[71])/2 - 14*s[72] + (115*s[73])/6 + (271*s[74])/18 - 
       (152*s[75])/9 + (32*s[76])/9 + (218*s[77])/9 - (67*s[78])/18 - 
       (3209*s[79])/9 + (2674*s[80])/27 - (9505*s[82])/6 - 4*s[83] - 
       184*s[84] - (1064*s[85])/3) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u]*(-14*s[2] - (995*s[3])/4 - (17177*s[4])/8 - 
       (11729*s[5])/11 - (297817*s[6])/88 - (49794947*s[7])/1584 + 
       (726707*s[8])/264 + (52373*s[9])/2 + (51233*s[10])/6 + 
       (18365669*s[11])/528 + (3384107*s[12])/88 + (36489991*s[13])/1584 + 
       (1718375*s[14])/528 + (5976413*s[15])/144 + (10581671*s[16])/198 + 
       (64297601*s[17])/1584 + (577159*s[18])/108 + (1183387*s[19])/216 + 
       (147921853*s[20])/2376 + (102243013*s[21])/4752 - 
       (26069311*s[22])/1584 - (28363351*s[23])/792 - (3096903*s[24])/88 + 
       (479791363*s[25])/10692 - (254010865*s[26])/10692 - 3*s[28] + 
       11*s[29] - 11*s[30] + 13*s[31] + 8*s[32] + (27*s[33])/4 - 31*s[34] + 
       8*s[35] + (161*s[36])/3 - (106*s[37])/3 - (1963*s[38])/2 + 
       (7821*s[39])/2 - (27175*s[40])/6 + (14147*s[41])/4 - 
       (66511*s[42])/12 - (235655*s[43])/66 + (1032695*s[44])/264 - 
       (600649*s[45])/132 + (4451567*s[46])/132 - (914449*s[47])/792 - 
       (886993*s[48])/792 + (13287859*s[49])/792 - (3458089*s[50])/132 - 
       (3164171*s[51])/792 - (2429879*s[52])/792 + (3531497*s[53])/198 + 
       (38513*s[54])/132 + (30236717*s[55])/264 + (7924987*s[56])/264 - 
       (2604592*s[57])/99 + (40931909*s[58])/792 - (13669763*s[59])/264 - 
       (1335338107*s[60])/4752 + (321507209*s[61])/21384 + 12*s[63] + 
       s[64]/2 + (3*s[65])/2 + 6*s[66] - 14*s[67] - 14*s[68] - 23*s[69] - 
       66*s[70] + s[71]/2 - 10*s[72] + 4*s[73] + 19*s[74] - (35*s[75])/2 - 
       14*s[76] + 83*s[77] - 10*s[78] - 444*s[79] + (472*s[80])/3 - 
       1472*s[82] + (3*s[83])/2 - 177*s[84] - 352*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((-213*s[2])/4 - (1161*s[3])/8 - (116803*s[4])/48 - (567923*s[5])/264 - 
       (2597233*s[6])/528 - (425146903*s[7])/9504 + (48788815*s[8])/14256 + 
       (24540985*s[9])/648 + (4048951*s[10])/324 + (464512183*s[11])/9504 + 
       (250930771*s[12])/4752 + (99455857*s[13])/3168 + 
       (69157153*s[14])/9504 + (5803513*s[15])/96 + (15096089*s[16])/198 + 
       (572487881*s[17])/9504 + (7997335*s[18])/972 + (27121673*s[19])/3888 + 
       (3887399375*s[20])/42768 + (2844979603*s[21])/85536 - 
       (2009131103*s[22])/85536 - (74787199*s[23])/1584 - 
       (2131637983*s[24])/42768 + (5912416013*s[25])/96228 - 
       (827347760*s[26])/24057 + s[28]/3 - s[29]/3 - s[30]/6 - (38*s[31])/3 + 
       (5*s[32])/3 - (11*s[33])/6 + (5*s[34])/6 + (23*s[35])/2 + 
       (1933*s[36])/36 - (191*s[37])/3 - (17443*s[38])/12 + 
       (277801*s[39])/48 - (943423*s[40])/144 + (82785*s[41])/16 - 
       (1181969*s[42])/144 - (8716733*s[43])/1584 + (18132337*s[44])/3168 - 
       (304781*s[45])/44 + (80823767*s[46])/1584 - (14454875*s[47])/9504 - 
       (16538957*s[48])/9504 + (239896565*s[49])/9504 - 
       (15676019*s[50])/396 - (53632405*s[51])/9504 - (41791759*s[52])/9504 + 
       (16398821*s[53])/594 - (22391*s[54])/198 + (561120319*s[55])/3168 + 
       (437351759*s[56])/9504 - (29674561*s[57])/891 + 
       (6528883741*s[58])/85536 - (6652070719*s[59])/85536 - 
       (24210722495*s[60])/57024 + (17647345105*s[61])/769824 - (2*s[64])/3 - 
       (4*s[65])/3 - (8*s[66])/3 + (10*s[67])/3 + 7*s[68] + (2*s[69])/3 - 
       (34*s[70])/3 + (10*s[71])/3 - (53*s[72])/3 - (7*s[73])/2 + 
       (215*s[74])/12 - (229*s[75])/12 + 16*s[76] + (121*s[77])/6 - 
       (11*s[78])/2 - 445*s[79] + (231*s[80])/2 - 1479*s[82] + (7*s[83])/2 - 
       221*s[84] - 344*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*(-33*s[2] - (1037*s[3])/12 - 
       (57931*s[4])/24 - (575431*s[5])/264 - (1305407*s[6])/264 - 
       (26946565*s[7])/594 + (24562805*s[8])/7128 + (24947287*s[9])/648 + 
       (8247719*s[10])/648 + (235288109*s[11])/4752 + 
       (254009461*s[12])/4752 + (6291211*s[13])/198 + (8978177*s[14])/1188 + 
       (245209*s[15])/4 + (15302549*s[16])/198 + (290493877*s[17])/4752 + 
       (16191449*s[18])/1944 + (13719589*s[19])/1944 + 
       (1974447703*s[20])/21384 + (90291356*s[21])/2673 - 
       (510384635*s[22])/21384 - (74951461*s[23])/1584 - 
       (2164116487*s[24])/42768 + (23935515089*s[25])/384912 - 
       (13417921067*s[26])/384912 + s[28]/6 - (8*s[29])/3 - s[30]/6 - 
       (11*s[31])/3 - (3*s[32])/2 + (119*s[33])/8 - (17*s[34])/2 + 
       (25*s[35])/3 + (941*s[36])/18 - (1147*s[37])/18 - (4235*s[38])/3 + 
       (66983*s[39])/12 - (227983*s[40])/36 + (60157*s[41])/12 - 
       (285557*s[42])/36 - (2077529*s[43])/396 + (4348633*s[44])/792 - 
       (5223451*s[45])/792 + (38651639*s[46])/792 - (3632129*s[47])/2376 - 
       (3660971*s[48])/2376 + (57246251*s[49])/2376 - (7500067*s[50])/198 - 
       (13087483*s[51])/2376 - (10215973*s[52])/2376 + 
       (31292891*s[53])/1188 - (43573*s[54])/198 + (133978285*s[55])/792 + 
       (34857991*s[56])/792 - (2174273*s[57])/66 + (261190205*s[58])/3564 - 
       (531482071*s[59])/7128 - (2894220655*s[60])/7128 + 
       (2800439209*s[61])/128304 - (2*s[64])/3 - (4*s[65])/3 - (8*s[66])/3 + 
       (10*s[67])/3 + 5*s[68] + (14*s[69])/3 - (34*s[70])/3 + (14*s[71])/3 - 
       (46*s[72])/3 + (43*s[73])/3 + (109*s[74])/6 - (115*s[75])/6 + 
       2*s[76] + 18*s[77] + (17*s[78])/3 - (1528*s[79])/3 + (1256*s[80])/9 - 
       1479*s[82] + (7*s[83])/2 - 221*s[84] - 344*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((-167*s[2])/4 - (185*s[3])/3 - (20873*s[4])/8 - (161265*s[5])/88 - 
       (52385*s[6])/11 - (416448785*s[7])/9504 + (48187951*s[8])/14256 + 
       (48081545*s[9])/1296 + (15611959*s[10])/1296 + 
       (458263039*s[11])/9504 + (249563449*s[12])/4752 + 
       (301228451*s[13])/9504 + (55619629*s[14])/9504 + 
       (50465239*s[15])/864 + (352874461*s[16])/4752 + 
       (181981429*s[17])/3168 + (7381435*s[18])/972 + (27807251*s[19])/3888 + 
       (3744227027*s[20])/42768 + (2689757899*s[21])/85536 - 
       (1978299071*s[22])/85536 - (112107181*s[23])/2376 - 
       (262317311*s[24])/5346 + (5897139719*s[25])/96228 - 
       (6443462485*s[26])/192456 - (8*s[29])/3 + (13*s[30])/3 - 
       (25*s[31])/3 + (39*s[32])/4 - (51*s[33])/8 + (10*s[34])/3 + 
       (67*s[35])/18 + (2533*s[36])/36 - (1189*s[37])/36 - (16255*s[38])/12 + 
       (759769*s[39])/144 - (865277*s[40])/144 + (694889*s[41])/144 - 
       (1080625*s[42])/144 - (7936999*s[43])/1584 + (1034465*s[44])/198 - 
       (1106701*s[45])/198 + (69123361*s[46])/1584 - (1506715*s[47])/1188 - 
       (7765069*s[48])/4752 + (109052857*s[49])/4752 - (3383947*s[50])/99 - 
       (12232327*s[51])/2376 - (19158365*s[52])/4752 + 
       (110814455*s[53])/4752 + (117583*s[54])/264 + (235415573*s[55])/1584 + 
       (20023385*s[56])/528 - (155482111*s[57])/4752 + 
       (469945715*s[58])/7128 - (479560781*s[59])/7128 - 
       (10420242637*s[60])/28512 + (794509355*s[61])/42768 + s[64] - 
       s[65]/3 - (8*s[66])/3 + 3*s[67] + 20*s[68] - 6*s[69] - (17*s[70])/3 + 
       (61*s[71])/12 - (25*s[72])/3 + 8*s[73] + (739*s[74])/36 - 
       (643*s[75])/36 + (230*s[76])/9 + (529*s[77])/18 + (19*s[78])/3 - 
       570*s[79] + (1973*s[80])/18 - (2683*s[82])/3 + (21*s[83])/2 - 
       293*s[84] - (920*s[85])/3) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u]*((31*s[2])/2 - (403*s[3])/4 - (14903*s[4])/8 - 
       (25963*s[5])/22 - (301341*s[6])/88 - (49366055*s[7])/1584 + 
       (1752013*s[8])/792 + (953839*s[9])/36 + (318449*s[10])/36 + 
       (6089441*s[11])/176 + (5002325*s[12])/132 + (36558967*s[13])/1584 + 
       (826417*s[14])/176 + (5902949*s[15])/144 + (20938171*s[16])/396 + 
       (63792275*s[17])/1584 + (197659*s[18])/36 + (369173*s[19])/72 + 
       (50058265*s[20])/792 + (108664349*s[21])/4752 - 
       (78746729*s[22])/4752 - (12592595*s[23])/396 - (21099235*s[24])/594 + 
       (232691227*s[25])/5346 - (128493997*s[26])/5346 - 3*s[28] - 16*s[29] + 
       7*s[30] + 2*s[31] + 7*s[32] + (41*s[33])/2 - 31*s[34] + 13*s[35] + 
       (49*s[36])/3 + (287*s[37])/6 - 1115*s[38] + 3868*s[39] - 
       (13951*s[40])/3 + 3743*s[41] - (32377*s[42])/6 - (131612*s[43])/33 + 
       (1085479*s[44])/264 - (301651*s[45])/66 + (2262179*s[46])/66 - 
       (540725*s[47])/792 - (1703513*s[48])/792 + (14392559*s[49])/792 - 
       (886121*s[50])/33 - (3106117*s[51])/792 - (2421427*s[52])/792 + 
       (6949007*s[53])/396 + (48052*s[54])/33 + (10142237*s[55])/88 + 
       (7922903*s[56])/264 - (10557953*s[57])/396 + (41691827*s[58])/792 - 
       (41675287*s[59])/792 - (1394916401*s[60])/4752 + 
       (157613405*s[61])/10692 + 12*s[63] - 7*s[65] - 16*s[66] + 23*s[67] + 
       3*s[68] + 48*s[69] - 121*s[70] + 12*s[71] + 18*s[72] - 18*s[73] + 
       s[74]/2 - (9*s[75])/2 - 31*s[76] + 124*s[77] + 54*s[78] - 640*s[79] + 
       (530*s[80])/3 - 1210*s[82] + 39*s[83] - 210*s[84] - 296*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      (-39*s[2] - (73*s[3])/2 - (3035*s[4])/4 - (2776*s[5])/11 - 
       (56839*s[6])/44 - (379846*s[7])/33 + (257219*s[8])/396 + 
       (351931*s[9])/36 + (31733*s[10])/9 + (1729861*s[11])/132 + 
       (962809*s[12])/66 + (409213*s[13])/44 + (48388*s[14])/33 + 
       (171683*s[15])/12 + (427903*s[16])/22 + (927373*s[17])/66 + 
       (186221*s[18])/108 + (60517*s[19])/27 + (13640723*s[20])/594 + 
       (4703201*s[21])/594 - (3698785*s[22])/594 - (115429*s[23])/11 - 
       (8195371*s[24])/594 + (357065801*s[25])/21384 - 
       (187279721*s[26])/21384 - 40*s[29] + 11*s[30] - 16*s[31] - 3*s[32] - 
       (13*s[33])/4 - 7*s[34] - 47*s[35] - 48*s[36] + (263*s[37])/6 - 
       438*s[38] + (5029*s[39])/4 - (6733*s[40])/4 + (5575*s[41])/4 - 
       (6529*s[42])/4 - (67471*s[43])/44 + (144801*s[44])/88 - 
       (210449*s[45])/132 + (799411*s[46])/66 + (11541*s[47])/88 - 
       (149521*s[48])/88 + (638401*s[49])/88 - (107925*s[50])/11 - 
       (106989*s[51])/88 - (82585*s[52])/88 + (1125323*s[53])/198 + 
       (46181*s[54])/33 + (3451161*s[55])/88 + (7955107*s[56])/792 - 
       (2401802*s[57])/297 + (129818099*s[58])/7128 - 
       (125609339*s[59])/7128 - (176759987*s[60])/1584 + 
       (39002881*s[61])/8019 - 11*s[62] - 5*s[65] - 12*s[66] + 17*s[67] + 
       9*s[68] + 32*s[69] - 67*s[70] + 7*s[71] + 28*s[72] - 8*s[73] - 
       7*s[74] + 12*s[75] - 12*s[76] + 59*s[77] + 72*s[78] - 440*s[79] + 
       (404*s[80])/3 + s[81]/3 - 1210*s[82] + 39*s[83] - 210*s[84] - 
       296*s[85]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((-797*s[2])/12 - (4711*s[3])/24 - 
       (205675*s[4])/48 - (336439*s[5])/144 - (983089*s[6])/144 - 
       (40221017*s[7])/648 + (10768267*s[8])/1944 + (201677591*s[9])/3888 + 
       (3796426*s[10])/243 + (178566965*s[11])/2592 + 
       (198577609*s[12])/2592 + (6684341*s[13])/144 + (3285557*s[14])/648 + 
       (34861525*s[15])/432 + (44935297*s[16])/432 + (200483851*s[17])/2592 + 
       (31905313*s[18])/2916 + (111173303*s[19])/11664 + 
       (1404490531*s[20])/11664 + (492778831*s[21])/11664 - 
       (23754188*s[22])/729 - (22123277*s[23])/288 - (1576756249*s[24])/
        23328 + (4686527039*s[25])/52488 - (4959293563*s[26])/104976 - 
       s[28]/6 + (32*s[29])/9 - (44*s[30])/3 - (290*s[31])/9 + 
       (43*s[32])/18 - (1019*s[33])/72 + (224*s[34])/9 + (1015*s[35])/18 + 
       (3947*s[36])/27 - (6791*s[37])/36 - (21424*s[38])/9 + 
       (341939*s[39])/36 - (1147985*s[40])/108 + (199037*s[41])/24 - 
       (5905507*s[42])/432 - (9776059*s[43])/1188 + (42216529*s[44])/4752 - 
       (7292905*s[45])/792 + (174565151*s[46])/2376 - 
       (46477745*s[47])/14256 - (17284361*s[48])/14256 + 
       (134470709*s[49])/3564 - (66896239*s[50])/1188 - 
       (68116445*s[51])/7128 - (107787997*s[52])/14256 + 
       (275760499*s[53])/7128 - (785335*s[54])/594 + (48459043*s[55])/198 + 
       (465040795*s[56])/7128 - (3035604557*s[57])/42768 + 
       (14843834143*s[58])/128304 - (14931091843*s[59])/128304 - 
       (12846812735*s[60])/21384 + (36736675189*s[61])/1154736 - 
       (5*s[62])/3 + s[64]/3 + (35*s[65])/18 + (76*s[66])/9 - (103*s[67])/9 - 
       (166*s[68])/9 - (127*s[69])/9 - (253*s[70])/9 + (25*s[71])/18 - 
       (367*s[72])/9 + (206*s[73])/9 + (563*s[74])/12 - (551*s[75])/12 + 
       (583*s[76])/9 + (541*s[77])/18 - (520*s[78])/9 - (2672*s[79])/3 + 
       (4121*s[80])/18 + s[81]/6 - 885*s[82] + (17*s[83])/3 - 
       (1078*s[84])/3 - (844*s[85])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - v]*((-59*s[2])/2 - (1119*s[3])/8 - 
       (39185*s[4])/16 - (152385*s[5])/88 - (779587*s[6])/176 - 
       (14092503*s[7])/352 + (15324077*s[8])/4752 + (7287467*s[9])/216 + 
       (1159121*s[10])/108 + (139005533*s[11])/3168 + (75685067*s[12])/1584 + 
       (90575417*s[13])/3168 + (16335863*s[14])/3168 + (15419017*s[15])/288 + 
       (107383075*s[16])/1584 + (166671647*s[17])/3168 + 
       (4764631*s[18])/648 + (7829737*s[19])/1296 + (1138651273*s[20])/
        14256 + (823032905*s[21])/28512 - (599077045*s[22])/28512 - 
       (36514153*s[23])/792 - (77936833*s[24])/1782 + 
       (447476884*s[25])/8019 - (1967488841*s[26])/64152 - 2*s[29] - 
       8*s[30] - 12*s[31] - s[32]/2 - (71*s[33])/4 + 20*s[34] + 
       (29*s[35])/3 + (253*s[36])/3 - (967*s[37])/24 - (5505*s[38])/4 + 
       (132731*s[39])/24 - (149455*s[40])/24 + (29947*s[41])/6 - 
       (94867*s[42])/12 - (1370069*s[43])/264 + (2832079*s[44])/528 - 
       (3337871*s[45])/528 + (25145479*s[46])/528 - (2327803*s[47])/1584 - 
       (2255401*s[48])/1584 + (37531861*s[49])/1584 - (1222696*s[50])/33 - 
       (8556491*s[51])/1584 - (6729593*s[52])/1584 + (40967393*s[53])/1584 - 
       (9961*s[54])/88 + (28988307*s[55])/176 + (7477557*s[56])/176 - 
       (26015987*s[57])/792 + (84826681*s[58])/1188 - 
       (347019025*s[59])/4752 - (937428109*s[60])/2376 + 
       (200108489*s[61])/9504 + 2*s[67] + 10*s[68] - 8*s[69] - 4*s[70] + 
       (37*s[71])/4 - 22*s[72] + (70*s[74])/3 - (143*s[75])/6 + 
       (104*s[76])/3 + (59*s[77])/3 - 22*s[78] - 468*s[79] + (739*s[80])/12 - 
       807*s[82] + (15*s[83])/4 - (453*s[84])/2 - 276*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      (-s[2]/6 - (1045*s[3])/12 - (1469*s[4])/24 - (22480*s[5])/33 - 
       (320239*s[6])/264 - (45602845*s[7])/4752 + (1620055*s[8])/7128 + 
       (2746267*s[9])/324 + (305870*s[10])/81 + (47177239*s[11])/4752 + 
       (11299799*s[12])/1188 + (2840753*s[13])/528 + (22031431*s[14])/4752 + 
       (693331*s[15])/48 + (6874003*s[16])/396 + (78029201*s[17])/4752 + 
       (923467*s[18])/486 + (3334271*s[19])/1944 + (487132517*s[20])/21384 + 
       (390110881*s[21])/42768 - (215596553*s[22])/42768 - 
       (105405*s[23])/44 - (127477577*s[24])/10692 + (2114021975*s[25])/
        192456 - (1450395149*s[26])/192456 - (4*s[28])/3 - 12*s[29] + 
       (46*s[30])/3 + 10*s[31] + (14*s[32])/3 + (247*s[33])/12 - 
       (98*s[34])/3 - (28*s[35])/3 - (841*s[36])/18 + (439*s[37])/18 - 
       (413*s[38])/6 + (5623*s[39])/24 - (32033*s[40])/72 + (3279*s[41])/8 - 
       (18139*s[42])/72 - (47393*s[43])/72 + (76183*s[44])/144 - 
       (28945*s[45])/18 + (67339*s[46])/8 + (101563*s[47])/432 - 
       (420191*s[48])/432 + (1201607*s[49])/432 - (61039*s[50])/9 - 
       (134395*s[51])/432 - (71269*s[52])/432 + (172295*s[53])/36 + 
       (2495*s[54])/6 + (531469*s[55])/16 + (3679645*s[56])/432 + 
       (1588553*s[57])/324 + (39892007*s[58])/3888 - (39704321*s[59])/3888 - 
       (197343149*s[60])/2592 + (157487921*s[61])/34992 + (32*s[63])/3 - 
       s[64]/3 - (13*s[65])/3 - (28*s[66])/3 + (46*s[67])/3 + (22*s[68])/3 + 
       (62*s[69])/3 - (166*s[70])/3 + 4*s[71] + 16*s[72] - (89*s[73])/3 - 
       10*s[74] + (26*s[75])/3 - 16*s[76] + (200*s[77])/3 + (73*s[78])/3 - 
       (368*s[79])/3 + (412*s[80])/9 - 1272*s[82] + (21*s[83])/2 - 85*s[84] - 
       276*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - v]*((-98*s[2])/3 - (359*s[3])/4 - 
       (114227*s[4])/24 - (174791*s[5])/66 - (1980413*s[6])/264 - 
       (330054887*s[7])/4752 + (44794793*s[8])/7128 + (4709492*s[9])/81 + 
       (5603197*s[10])/324 + (366659729*s[11])/4752 + (25523965*s[12])/297 + 
       (82676377*s[13])/1584 + (24135809*s[14])/4752 + (12974155*s[15])/144 + 
       (15326771*s[16])/132 + (408693691*s[17])/4752 + (11652361*s[18])/972 + 
       (21011725*s[19])/1944 + (2865063829*s[20])/21384 + 
       (2008426103*s[21])/42768 - (1562438719*s[22])/42768 - 
       (34108523*s[23])/396 - (807199267*s[24])/10692 + 
       (19284143545*s[25])/192456 - (10166585779*s[26])/192456 - s[28]/2 + 
       16*s[29] - 15*s[30] - (71*s[31])/3 + (10*s[32])/3 + (133*s[33])/12 + 
       (94*s[34])/3 + (196*s[35])/3 + (1999*s[36])/9 - (1183*s[37])/6 - 
       (16867*s[38])/6 + (65341*s[39])/6 - (217991*s[40])/18 + 
       (37859*s[41])/4 - (281263*s[42])/18 - (1887511*s[43])/198 + 
       (3994715*s[44])/396 - (229275*s[45])/22 + (16437985*s[46])/198 - 
       (2174963*s[47])/594 - (781175*s[48])/594 + (51864169*s[49])/1188 - 
       (25346537*s[50])/396 - (3226001*s[51])/297 - (10235915*s[52])/1188 + 
       (52305163*s[53])/1188 - (217669*s[54])/396 + (109990855*s[55])/396 + 
       (86071081*s[56])/1188 - (140012177*s[57])/1782 + 
       (695160949*s[58])/5346 - (705174025*s[59])/5346 - 
       (4854560347*s[60])/7128 + (6840737215*s[61])/192456 - 4*s[62] - 
       s[64]/2 + (19*s[65])/6 + (50*s[66])/3 - (88*s[67])/3 - (76*s[68])/3 - 
       (127*s[69])/3 - (154*s[70])/3 + (47*s[71])/6 - (122*s[72])/3 + 
       (154*s[73])/3 + (323*s[74])/6 - (317*s[75])/6 + 48*s[76] + 
       (175*s[77])/3 - (208*s[78])/3 - 864*s[79] + 163*s[80] + s[81]/6 - 
       572*s[82] - (7*s[83])/2 - 387*s[84] - 272*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
      (-14*s[2] - (497*s[3])/2 - (16949*s[4])/12 - (40907*s[5])/44 - 
       (29658*s[6])/11 - (55059443*s[7])/2376 + (1743356*s[8])/891 + 
       (6219985*s[9])/324 + (2172659*s[10])/324 + (59746847*s[11])/2376 + 
       (16077427*s[12])/594 + (12602503*s[13])/792 + (8747165*s[14])/2376 + 
       (2292769*s[15])/72 + (1325408*s[16])/33 + (77168659*s[17])/2376 + 
       (2022931*s[18])/486 + (1925165*s[19])/486 + (125370202*s[20])/2673 + 
       (356329751*s[21])/21384 - (255795421*s[22])/21384 - 
       (2492332*s[23])/99 - (277670309*s[24])/10692 + 
       (6134803379*s[25])/192456 - (3371247611*s[26])/192456 + s[28]/3 - 
       (20*s[29])/3 - (16*s[30])/3 + 12*s[31] + (22*s[32])/3 + 
       (263*s[33])/6 - (124*s[34])/3 + 26*s[35] + (23*s[36])/3 - 
       (341*s[37])/18 - 465*s[38] + (9315*s[39])/4 - (10927*s[40])/4 + 
       (8725*s[41])/4 - (41173*s[42])/12 - (273607*s[43])/132 + 
       (313799*s[44])/132 - (1239781*s[45])/396 + (4475915*s[46])/198 - 
       (154871*s[47])/198 - (227737*s[48])/396 + (1950911*s[49])/198 - 
       (584674*s[50])/33 - (1004129*s[51])/396 - (174764*s[52])/99 + 
       (3694793*s[53])/297 - (32201*s[54])/99 + (10537777*s[55])/132 + 
       (6347758*s[56])/297 - (47192203*s[57])/3564 + (89562740*s[58])/2673 - 
       (359356475*s[59])/10692 - (147716335*s[60])/792 + 
       (2093152411*s[61])/192456 - (5*s[62])/3 + (2*s[64])/3 + (2*s[65])/3 + 
       4*s[66] - (20*s[67])/3 - (10*s[68])/3 - 10*s[69] - (82*s[70])/3 - 
       (4*s[71])/3 - (44*s[72])/3 + 8*s[73] + (35*s[74])/3 - (40*s[75])/3 - 
       12*s[76] + (112*s[77])/3 - 16*s[78] - (944*s[79])/3 + (1411*s[80])/9 + 
       s[81]/6 - 1278*s[82] + s[83]/2 - 85*s[84] - 268*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((-361*s[2])/18 - (1337*s[3])/12 - (214553*s[4])/144 - 
       (39436*s[5])/33 - (9325933*s[6])/3168 - (9179997*s[7])/352 + 
       (58057541*s[8])/28512 + (57023059*s[9])/2592 + (4693031*s[10])/648 + 
       (540543587*s[11])/19008 + (584289697*s[12])/19008 + 
       (173370607*s[13])/9504 + (20423831*s[14])/4752 + 
       (30416083*s[15])/864 + (105789073*s[16])/2376 + 
       (669106001*s[17])/19008 + (19014739*s[18])/3888 + (951968*s[19])/243 + 
       (4534841803*s[20])/85536 + (828240197*s[21])/42768 - 
       (1169177033*s[22])/85536 - (534822547*s[23])/19008 - 
       (4934137015*s[24])/171072 + (55094467793*s[25])/1539648 - 
       (30878538197*s[26])/1539648 - (11*s[30])/6 - (17*s[31])/9 + 
       (7*s[32])/4 + (43*s[33])/12 - (151*s[34])/18 + (41*s[35])/18 + 
       (3715*s[36])/108 - (7121*s[37])/216 - (19703*s[38])/24 + 
       (41657*s[39])/12 - (214037*s[40])/54 + (9590*s[41])/3 - 
       (2159039*s[42])/432 - (3865625*s[43])/1188 + (33042205*s[44])/9504 - 
       (20152597*s[45])/4752 + (49718495*s[46])/1584 - 
       (26644757*s[47])/28512 - (28979309*s[48])/28512 + 
       (214887403*s[49])/14256 - (28958225*s[50])/1188 - 
       (48748109*s[51])/14256 - (75961957*s[52])/28512 + 
       (20199859*s[53])/1188 - (500317*s[54])/1584 + (1039460293*s[55])/
        9504 + (410923301*s[56])/14256 - (869729855*s[57])/42768 + 
       (1506198919*s[58])/32076 - (1528178413*s[59])/32076 - 
       (11142042851*s[60])/42768 + (33033637883*s[61])/2309472 + 
       (23*s[68])/9 - (23*s[69])/9 - (16*s[70])/3 + 2*s[71] - (37*s[72])/3 - 
       (5*s[73])/2 + (122*s[74])/9 - (131*s[75])/9 + (53*s[76])/9 + 
       (199*s[77])/18 - (91*s[78])/18 - (3065*s[79])/9 + (5171*s[80])/54 - 
       (15083*s[82])/12 - 162*s[84] - (800*s[85])/3) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((-196*s[2])/3 + (305*s[3])/12 - (21985*s[4])/6 - (824173*s[5])/264 - 
       (963461*s[6])/132 - (151967407*s[7])/2376 + (18499847*s[8])/3564 + 
       (35318417*s[9])/648 + (10517557*s[10])/648 + (83280775*s[11])/1188 + 
       (364124303*s[12])/4752 + (218747453*s[13])/4752 + 
       (44393869*s[14])/4752 + (18272645*s[15])/216 + 
       (508303931*s[16])/4752 + (64777505*s[17])/792 + 
       (25130845*s[18])/1944 + (3591455*s[19])/486 + (1376422429*s[20])/
        10692 + (2048911039*s[21])/42768 - (1446093041*s[22])/42768 - 
       (185652869*s[23])/2376 - (361311625*s[24])/5346 + 
       (33980237053*s[25])/384912 - (19179778147*s[26])/384912 - 14*s[28] - 
       11*s[29] + (49*s[30])/2 - (163*s[31])/3 - (100*s[32])/3 - 
       (887*s[33])/24 + (499*s[34])/6 + (137*s[35])/3 + (2417*s[36])/18 - 
       (8615*s[37])/36 - (7036*s[38])/3 + (225509*s[39])/24 - 
       (764147*s[40])/72 + (201163*s[41])/24 - (248665*s[42])/18 - 
       (6460777*s[43])/792 + (3439349*s[44])/396 - (6972421*s[45])/792 + 
       (28252537*s[46])/396 - (987685*s[47])/297 - (1574621*s[48])/2376 + 
       (85426595*s[49])/2376 - (10745341*s[50])/198 - (11330525*s[51])/1188 - 
       (18218437*s[52])/2376 + (89455909*s[53])/2376 - (1104641*s[54])/396 + 
       (189591487*s[55])/792 + (51707185*s[56])/792 - (19877383*s[57])/264 + 
       (102428240*s[58])/891 - (103537862*s[59])/891 - 
       (514518935*s[60])/891 + (995657215*s[61])/32076 + 18*s[63] - 
       (22*s[65])/3 - (43*s[66])/3 + (62*s[67])/3 - (127*s[68])/3 + 
       (119*s[69])/3 - (427*s[70])/3 + (37*s[71])/3 - (94*s[72])/3 + 
       20*s[73] + 35*s[74] - (77*s[75])/2 - (4*s[76])/3 + (632*s[77])/3 - 
       (58*s[78])/3 - (3062*s[79])/3 + (3919*s[80])/18 - 14*s[82] + 
       16*s[83] - 444*s[84] - 260*s[85]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 0, 1, 1}, 1 - u]*((-595*s[2])/6 - (213*s[3])/2 - 
       (95159*s[4])/24 - (809735*s[5])/264 - (1956833*s[6])/264 - 
       (317414609*s[7])/4752 + (18026449*s[8])/3564 + (18339785*s[9])/324 + 
       (5577013*s[10])/324 + (87249857*s[11])/1188 + (382743157*s[12])/4752 + 
       (8578133*s[13])/176 + (43111817*s[14])/4752 + (12636725*s[15])/144 + 
       (22050859*s[16])/198 + (201916265*s[17])/2376 + 
       (24559091*s[18])/1944 + (8937233*s[19])/972 + (1422843179*s[20])/
        10692 + (2073972413*s[21])/42768 - (1504943395*s[22])/42768 - 
       (40653523*s[23])/528 - (3090457003*s[24])/42768 + 
       (35862634769*s[25])/384912 - (19795868771*s[26])/384912 + s[28]/2 - 
       6*s[29] + s[30]/2 - (176*s[31])/3 - (17*s[32])/3 - (2209*s[33])/24 + 
       (443*s[34])/6 + (286*s[35])/3 + (2063*s[36])/18 - (1559*s[37])/12 - 
       (14545*s[38])/6 + (218311*s[39])/24 - (733913*s[40])/72 + 
       (63933*s[41])/8 - (117587*s[42])/9 - (6191107*s[43])/792 + 
       (13035329*s[44])/1584 - (775029*s[45])/88 + (13754959*s[46])/198 - 
       (16020607*s[47])/4752 - (4408765*s[48])/4752 + 
       (164378131*s[49])/4752 - (20710799*s[50])/396 - 
       (43958951*s[51])/4752 - (37118507*s[52])/4752 + (21327479*s[53])/594 - 
       (1340419*s[54])/396 + (362989909*s[55])/1584 + 
       (299284873*s[56])/4752 - (515122715*s[57])/7128 + 
       (4779674051*s[58])/42768 - (4750048931*s[59])/42768 - 
       (16020883075*s[60])/28512 + (5866793395*s[61])/192456 + 2*s[64] - 
       (23*s[65])/6 - (46*s[66])/3 + (53*s[67])/3 - (115*s[68])/3 + 
       (128*s[69])/3 - (214*s[70])/3 + (149*s[71])/6 + (10*s[72])/3 - 
       (50*s[73])/3 + (257*s[74])/6 - (257*s[75])/6 + 62*s[76] + 
       (298*s[77])/3 - (34*s[78])/3 - 928*s[79] + (281*s[80])/2 + s[81]/3 - 
       14*s[82] + 16*s[83] - 444*s[84] - 260*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[v, w, u]*(-32*s[2] - (640*s[3])/3 - 
       (632*s[4])/3 - (2688*s[5])/11 - (8432*s[6])/11 - (633824*s[7])/99 + 
       (67088*s[8])/297 + (143056*s[9])/27 + (69992*s[10])/27 + 
       (686992*s[11])/99 + (699200*s[12])/99 + (409628*s[13])/99 + 
       (227488*s[14])/99 + 9224*s[15] + (1167020*s[16])/99 + 
       (345200*s[17])/33 + (78176*s[18])/81 + (137632*s[19])/81 + 
       (12834196*s[20])/891 + (4525588*s[21])/891 - (2929424*s[22])/891 - 
       (178672*s[23])/99 - (7563392*s[24])/891 + (66825304*s[25])/8019 - 
       (38767804*s[26])/8019 + (32*s[32])/3 + 64*s[37] - 48*s[38] + 
       (248*s[39])/3 - (632*s[40])/3 + (616*s[41])/3 + (296*s[42])/3 - 
       (18376*s[43])/33 + (20936*s[44])/33 - (41384*s[45])/33 + 
       (72352*s[46])/11 + (56512*s[47])/99 - (157328*s[48])/99 + 
       (305840*s[49])/99 - (183536*s[50])/33 + (3848*s[51])/99 + 
       (16832*s[52])/99 + (356560*s[53])/99 + (39152*s[54])/33 + 
       (849784*s[55])/33 + (66056*s[56])/11 + (269168*s[57])/33 + 
       (1933912*s[58])/297 - (1977568*s[59])/297 - (19140040*s[60])/297 + 
       (9057332*s[61])/2673 + (64*s[68])/3 - (64*s[69])/3 + (64*s[77])/3 - 
       1408*s[82] - 256*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*((-140*s[2])/3 - 
       (447*s[3])/4 - (67913*s[4])/24 - (178665*s[5])/88 - (231379*s[6])/44 - 
       (225175111*s[7])/4752 + (27549605*s[8])/7128 + (25889095*s[9])/648 + 
       (8254115*s[10])/648 + (30885781*s[11])/594 + (67495891*s[12])/1188 + 
       (80719997*s[13])/2376 + (30838745*s[14])/4752 + (27231575*s[15])/432 + 
       (95228791*s[16])/1188 + (24522581*s[17])/396 + (33853045*s[18])/3888 + 
       (27425555*s[19])/3888 + (4058247137*s[20])/42768 + 
       (732255265*s[21])/21384 - (66595315*s[22])/2673 - 
       (255022769*s[23])/4752 - (138910609*s[24])/2673 + 
       (12711751945*s[25])/192456 - (874231211*s[26])/24057 + s[28]/3 + 
       (25*s[29])/3 - (10*s[30])/3 - 14*s[31] + (127*s[32])/12 - 
       (311*s[33])/24 + (5*s[34])/2 + (365*s[35])/18 + (755*s[36])/9 - 
       (1873*s[37])/18 - (8473*s[38])/6 + (52145*s[39])/9 - (59164*s[40])/9 + 
       (185575*s[41])/36 - (301943*s[42])/36 - (503978*s[43])/99 + 
       (17525287*s[44])/3168 - (4812575*s[45])/792 + (37286443*s[46])/792 - 
       (17770861*s[47])/9504 - (8796577*s[48])/9504 + 
       (223329727*s[49])/9504 - (3600755*s[50])/99 - (55273001*s[51])/9504 - 
       (43861727*s[52])/9504 + (118922407*s[53])/4752 - (33321*s[54])/44 + 
       (505747579*s[55])/3168 + (134353295*s[56])/3168 - 
       (7239399*s[57])/176 + (2088540215*s[58])/28512 - 
       (2105337161*s[59])/28512 - (22076941369*s[60])/57024 + 
       (5325098941*s[61])/256608 + s[64]/2 + (5*s[65])/6 + 3*s[66] - 
       (29*s[67])/3 - (23*s[68])/3 - (29*s[69])/3 - 7*s[70] + (13*s[71])/12 - 
       (55*s[72])/3 + (41*s[73])/2 + (1049*s[74])/36 - (971*s[75])/36 + 
       (226*s[76])/9 + (275*s[77])/18 - (37*s[78])/2 - (1906*s[79])/3 + 
       (3157*s[80])/18 - (3053*s[82])/3 + (11*s[83])/4 - (561*s[84])/2 - 
       (760*s[85])/3) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*((-157*s[2])/6 - (346*s[3])/9 - 
       (106153*s[4])/72 - (462895*s[5])/396 - (469787*s[6])/176 - 
       (119019019*s[7])/4752 + (9715895*s[8])/4752 + (9153697*s[9])/432 + 
       (1459339*s[10])/216 + (86856613*s[11])/3168 + (31520927*s[12])/1056 + 
       (83889383*s[13])/4752 + (5389621*s[14])/1584 + (14521273*s[15])/432 + 
       (202168325*s[16])/4752 + (314405339*s[17])/9504 + 
       (6096283*s[18])/1296 + (4787405*s[19])/1296 + (179553731*s[20])/3564 + 
       (87441577*s[21])/4752 - (93929305*s[22])/7128 - 
       (270572171*s[23])/9504 - (780338137*s[24])/28512 + 
       (2963541755*s[25])/85536 - (1644949415*s[26])/85536 - s[28]/2 + 
       (22*s[29])/3 - 2*s[30] - 8*s[31] + (2*s[32])/9 - (49*s[33])/12 + 
       (38*s[34])/3 + 24*s[35] + (305*s[36])/6 - (245*s[37])/9 - 
       (8314*s[38])/9 + (274129*s[39])/72 - (304573*s[40])/72 + 
       (27063*s[41])/8 - (197959*s[42])/36 - (2681251*s[43])/792 + 
       (1421093*s[44])/396 - (1607245*s[45])/396 + (24796087*s[46])/792 - 
       (2900239*s[47])/2376 - (342631*s[48])/594 + (37338271*s[49])/2376 - 
       (801923*s[50])/33 - (1122160*s[51])/297 - (6971477*s[52])/2376 + 
       (40209511*s[53])/2376 - (3813*s[54])/44 + (254865265*s[55])/2376 + 
       (66162433*s[56])/2376 - (175659223*s[57])/7128 + 
       (1022000783*s[58])/21384 - (129916228*s[59])/2673 - 
       (3669724141*s[60])/14256 + (2668009739*s[61])/192456 - (2*s[64])/3 + 
       s[65]/3 + 4*s[66] - (20*s[67])/3 + s[68]/9 - (82*s[69])/9 - 
       (26*s[70])/3 + (5*s[71])/3 - (56*s[72])/3 + s[73] + (52*s[74])/3 - 
       19*s[75] + (26*s[76])/3 + (172*s[77])/9 - (89*s[78])/3 - 254*s[79] + 
       (371*s[80])/9 - (6161*s[82])/6 - 4*s[83] - 184*s[84] - 
       (760*s[85])/3) + HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*((-49*s[2])/2 - (633*s[3])/4 - (10927*s[4])/8 - 
       (28223*s[5])/22 - (256293*s[6])/88 - (41460439*s[7])/1584 + 
       (1525085*s[8])/792 + (797561*s[9])/36 + (276253*s[10])/36 + 
       (4962061*s[11])/176 + (3947737*s[12])/132 + (27981971*s[13])/1584 + 
       (862325*s[14])/176 + (5244805*s[15])/144 + (4449431*s[16])/99 + 
       (58200607*s[17])/1584 + (57863*s[18])/12 + (304877*s[19])/72 + 
       (4741013*s[20])/88 + (94121377*s[21])/4752 - (64810597*s[22])/4752 - 
       (2573812*s[23])/99 - (34942033*s[24])/1188 + (376525393*s[25])/10692 - 
       (214296523*s[26])/10692 - 8*s[29] - s[30] - 8*s[31] + 9*s[33] - 
       5*s[34] - 13*s[35] + (208*s[36])/3 + (43*s[37])/2 - 718*s[38] + 
       (11547*s[39])/4 - (39409*s[40])/12 + (10665*s[41])/4 - 
       (48971*s[42])/12 - (392159*s[43])/132 + (95180*s[44])/33 - 
       (169115*s[45])/44 + (913304*s[46])/33 - (126785*s[47])/198 - 
       (403027*s[48])/396 + (2604599*s[49])/198 - (1429921*s[50])/66 - 
       (1139075*s[51])/396 - (855797*s[52])/396 + (6100543*s[53])/396 - 
       (14471*s[54])/66 + (13070911*s[55])/132 + (4946363*s[56])/198 - 
       (13266643*s[57])/1188 + (140858375*s[58])/3564 - 
       (145388849*s[59])/3564 - (552594613*s[60])/2376 + 
       (200143285*s[61])/16038 - s[62] - 2*s[65] - 8*s[66] + 12*s[67] + 
       4*s[68] + 20*s[69] + 6*s[70] + s[71] - 6*s[72] - 2*s[73] + 
       (15*s[74])/2 - (15*s[75])/2 - 6*s[76] - s[77] + 2*s[78] - 240*s[79] + 
       55*s[80] - 876*s[82] + 6*s[83] - 156*s[84] - 248*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      (-18*s[2] + 18*s[3] - (6289*s[4])/4 - (72673*s[5])/44 - 
       (73741*s[6])/22 - (3128971*s[7])/99 + (1364743*s[8])/594 + 
       (1461245*s[9])/54 + (992933*s[10])/108 + (6741461*s[11])/198 + 
       (14275925*s[12])/396 + (933179*s[13])/44 + (600070*s[14])/99 + 
       (264587*s[15])/6 + (3582827*s[16])/66 + (8802973*s[17])/198 + 
       (472256*s[18])/81 + (801455*s[19])/162 + (58157569*s[20])/891 + 
       (86529739*s[21])/3564 - (14844293*s[22])/891 - (346207*s[23])/11 - 
       (31546226*s[24])/891 + (677036021*s[25])/16038 - 
       (193936705*s[26])/8019 - 8*s[29] - 3*s[30] - 18*s[31] + 13*s[32] + 
       (29*s[33])/4 + s[34] + 6*s[35] + (169*s[36])/3 - (163*s[37])/6 - 
       899*s[38] + (14677*s[39])/4 - (49915*s[40])/12 + (13589*s[41])/4 - 
       (63293*s[42])/12 - (462917*s[43])/132 + (951163*s[44])/264 - 
       (603707*s[45])/132 + (1113241*s[46])/33 - (768677*s[47])/792 - 
       (717131*s[48])/792 + (12695267*s[49])/792 - (884006*s[50])/33 - 
       (2932159*s[51])/792 - (2158861*s[52])/792 + (3740299*s[53])/198 + 
       (8867*s[54])/66 + (31886981*s[55])/264 + (8046559*s[56])/264 - 
       (576701*s[57])/33 + (116851723*s[58])/2376 - (120697231*s[59])/2376 - 
       (1344071315*s[60])/4752 + (162695011*s[61])/10692 - 2*s[65] - 
       8*s[66] + 12*s[67] + 4*s[68] + 20*s[69] + 4*s[70] + 2*s[71] - 
       16*s[72] - 32*s[73] + 13*s[74] - 13*s[75] - 12*s[76] + 2*s[77] - 
       4*s[78] - 400*s[79] + (341*s[80])/3 - 876*s[82] + 6*s[83] - 
       156*s[84] - 248*s[85]) + HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u]*((-63*s[2])/2 + (43*s[3])/2 - (9209*s[4])/4 - 
       (56103*s[5])/44 - (85805*s[6])/22 - (9394585*s[7])/264 + 
       (31712*s[8])/11 + (120831*s[9])/4 + 9293*s[10] + (436518*s[11])/11 + 
       (1944653*s[12])/44 + (889099*s[13])/33 + (84121*s[14])/22 + 
       (362869*s[15])/8 + (15625559*s[16])/264 + (2860717*s[17])/66 + 
       (57169*s[18])/9 + (189743*s[19])/36 + (27758435*s[20])/396 + 
       (9797767*s[21])/396 - (832671*s[22])/44 - (10670533*s[23])/264 - 
       (10326313*s[24])/264 + (362847983*s[25])/7128 - 
       (194367785*s[26])/7128 - 6*s[31] + 8*s[32] - (69*s[33])/4 + 21*s[35] + 
       63*s[36] - (191*s[37])/4 - (2747*s[38])/2 + (21289*s[39])/4 - 
       (24545*s[40])/4 + (9695*s[41])/2 - (30345*s[42])/4 - 
       (204579*s[43])/44 + (116229*s[44])/22 - (423541*s[45])/88 + 
       (3515077*s[46])/88 - (99325*s[47])/66 - (158555*s[48])/132 + 
       (720179*s[49])/33 - (339180*s[50])/11 - (359647*s[51])/66 - 
       (584371*s[52])/132 + (1780611*s[53])/88 - (11203*s[54])/44 + 
       (4253036*s[55])/33 + (2267681*s[56])/66 - (4164862*s[57])/99 + 
       (151079821*s[58])/2376 - (37474753*s[59])/594 - 
       (525406597*s[60])/1584 + (705330875*s[61])/42768 - 18*s[70] + 
       (3*s[71])/2 - 6*s[72] + 44*s[73] + 39*s[74] - (27*s[75])/2 + 6*s[76] + 
       21*s[77] - 6*s[78] - 768*s[79] + (477*s[80])/2 - 360*s[82] + 
       27*s[83] - 378*s[84] - 228*s[85]) + HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - v]*(-42*s[2] + 192*s[3] - 2690*s[4] - 
       (73801*s[5])/44 - (203613*s[6])/44 - (11493377*s[7])/264 + 
       (4127315*s[8])/1188 + (4016383*s[9])/108 + (1228799*s[10])/108 + 
       (4798813*s[11])/99 + (21310859*s[12])/396 + (3242188*s[13])/99 + 
       (1938655*s[14])/396 + (4006459*s[15])/72 + (57402353*s[16])/792 + 
       (21180145*s[17])/396 + (622733*s[18])/81 + (1047971*s[19])/162 + 
       (76608121*s[20])/891 + (27099442*s[21])/891 - (20728586*s[22])/891 - 
       (38755177*s[23])/792 - (340367017*s[24])/7128 + 
       (994527797*s[25])/16038 - (266421724*s[26])/8019 - 12*s[31] + 
       (39*s[32])/2 + 3*s[33] + 12*s[34] + 24*s[35] + 126*s[36] - 
       (1315*s[37])/12 - 1661*s[38] + 6578*s[39] - 7569*s[40] + 5943*s[41] - 
       (38059*s[42])/4 - (59637*s[43])/11 + (560023*s[44])/88 - 
       (1416155*s[45])/264 + (12297689*s[46])/264 - (568913*s[47])/264 - 
       (217001*s[48])/264 + (6774527*s[49])/264 - (1585203*s[50])/44 - 
       (1830757*s[51])/264 - (1467043*s[52])/264 + (18616093*s[53])/792 - 
       (24224*s[54])/33 + (39168637*s[55])/264 + (31486979*s[56])/792 - 
       (16611220*s[57])/297 + (135219109*s[58])/1782 - 
       (534943645*s[59])/7128 - (33706205*s[60])/88 + 
       (2437643591*s[61])/128304 + 4*s[64] + (9*s[65])/2 + 4*s[66] - 
       12*s[67] - 16*s[69] - 21*s[70] - 3*s[71] - 12*s[72] + 66*s[73] + 
       (105*s[74])/2 - 27*s[75] - 6*s[76] + 51*s[77] + 2*s[78] - 976*s[79] + 
       (1985*s[80])/6 - 360*s[82] + 27*s[83] - 378*s[84] - 228*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((-111*s[2])/4 + (377*s[3])/8 - (1555*s[4])/16 - (4277*s[5])/11 - 
       (158033*s[6])/176 - (7709831*s[7])/1056 + (76699*s[8])/528 + 
       (39679*s[9])/6 + (64781*s[10])/24 + (2736487*s[11])/352 + 
       (85942*s[12])/11 + (4954783*s[13])/1056 + (1144295*s[14])/352 + 
       (958001*s[15])/96 + (838003*s[16])/66 + (11647547*s[17])/1056 + 
       (19399*s[18])/12 + (13455*s[19])/16 + (8983793*s[20])/528 + 
       (21329129*s[21])/3168 - (12729653*s[22])/3168 - (854837*s[23])/264 - 
       (3401641*s[24])/396 + (123378151*s[25])/14256 - 
       (81531211*s[26])/14256 - 7*s[28] - 16*s[29] + 7*s[30] - 15*s[31] + 
       (11*s[32])/2 - (79*s[33])/8 - 4*s[34] + (11*s[35])/2 - 24*s[36] + 
       (1261*s[37])/12 - (201*s[38])/2 + (427*s[39])/2 - 536*s[40] + 
       (2231*s[41])/4 - 271*s[42] - (16175*s[43])/22 + (107963*s[44])/176 - 
       (340657*s[45])/264 + (1930639*s[46])/264 + (168403*s[47])/528 - 
       (706229*s[48])/528 + (1527767*s[49])/528 - (65565*s[50])/11 - 
       (79807*s[51])/176 - (125251*s[52])/528 + (747575*s[53])/198 + 
       (37633*s[54])/66 + (4687191*s[55])/176 + (11781323*s[56])/1584 + 
       (3471761*s[57])/2376 + (135319051*s[58])/14256 - 
       (128585089*s[59])/14256 - (71648129*s[60])/1056 + 
       (483819865*s[61])/128304 + 22*s[63] - 3*s[65] - 10*s[66] + 19*s[67] + 
       6*s[68] + 18*s[69] - 104*s[70] + 8*s[71] + 11*s[72] + 5*s[73] - 
       (33*s[74])/4 + (21*s[75])/4 - 15*s[76] + (237*s[77])/2 + 39*s[78] - 
       240*s[79] + (337*s[80])/6 - 678*s[82] + (39*s[83])/2 - 51*s[84] - 
       228*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*(-48*s[2] + 7*s[3] + 1047*s[4] + 
       (10239*s[5])/22 + (53179*s[6])/44 + (10233193*s[7])/792 - 
       (1739431*s[8])/1188 - (1151681*s[9])/108 - (302251*s[10])/108 - 
       (5693195*s[11])/396 - (12908321*s[12])/792 - (2555935*s[13])/264 + 
       (200315*s[14])/792 - (411467*s[15])/24 - (711241*s[16])/33 - 
       (1535365*s[17])/99 - (162877*s[18])/81 - (738491*s[19])/324 - 
       (42749965*s[20])/1782 - (57469333*s[21])/7128 + 
       (47963723*s[22])/7128 + (4913807*s[23])/264 + (99377837*s[24])/7128 - 
       (154851038*s[25])/8019 + (156811183*s[26])/16038 - 24*s[29] + 
       11*s[30] - 34*s[31] - 4*s[32] - (129*s[33])/4 + 11*s[34] - 44*s[35] - 
       103*s[36] + (499*s[37])/3 + 551*s[38] - 2455*s[39] + 2579*s[40] - 
       (3871*s[41])/2 + 3639*s[42] + (18951*s[43])/11 - (89217*s[44])/44 + 
       (92429*s[45])/66 - (935333*s[46])/66 + (12587*s[47])/11 - 
       (9380*s[48])/11 - (88801*s[49])/11 + (117289*s[50])/11 + 
       (53363*s[51])/22 + (87347*s[52])/44 - (1500553*s[53])/198 + 
       (60517*s[54])/66 - (3004285*s[55])/66 - (1145806*s[56])/99 + 
       (6492556*s[57])/297 - (21516104*s[58])/891 + (22225745*s[59])/891 + 
       (43110373*s[60])/396 - (43632221*s[61])/8019 - 7*s[62] - 4*s[65] - 
       12*s[66] + 20*s[67] + 6*s[68] + 24*s[69] - 52*s[70] + 6*s[71] + 
       24*s[72] - 24*s[73] - 19*s[74] + 20*s[75] + 7*s[76] + 46*s[77] + 
       44*s[78] + 144*s[79] - (187*s[80])/3 + s[81]/3 - 678*s[82] + 
       (39*s[83])/2 - 51*s[84] - 228*s[85]) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((-259*s[2])/12 - (5243*s[3])/72 - (106693*s[4])/72 - 
       (892481*s[5])/792 - (2980409*s[6])/1056 - (238904393*s[7])/9504 + 
       (57188389*s[8])/28512 + (54986771*s[9])/2592 + (4400041*s[10])/648 + 
       (523540411*s[11])/19008 + (570070475*s[12])/19008 + 
       (4719713*s[13])/264 + (34989695*s[14])/9504 + (3213149*s[15])/96 + 
       (33768893*s[16])/792 + (629896679*s[17])/19008 + 
       (36863281*s[18])/7776 + (28423199*s[19])/7776 + 
       (4327520291*s[20])/85536 + (98419793*s[21])/5346 - 
       (564920915*s[22])/42768 - (179016185*s[23])/6336 - 
       (4708527539*s[24])/171072 + (53620596751*s[25])/1539648 - 
       (29749606753*s[26])/1539648 - (11*s[30])/6 - 6*s[31] + (7*s[32])/18 - 
       (3*s[33])/2 + (23*s[34])/6 + (7*s[35])/2 + (1777*s[36])/36 - 
       (409*s[37])/9 - (64727*s[38])/72 + (540359*s[39])/144 - 
       (204617*s[40])/48 + (163807*s[41])/48 - (129649*s[42])/24 - 
       (5491201*s[43])/1584 + (11647703*s[44])/3168 - (1732853*s[45])/396 + 
       (51949301*s[46])/1584 - (382103*s[47])/352 - (2970415*s[48])/3168 + 
       (50241545*s[49])/3168 - (20039317*s[50])/792 - (11745205*s[51])/3168 - 
       (9365599*s[52])/3168 + (83657729*s[53])/4752 - (69437*s[54])/132 + 
       (1071912205*s[55])/9504 + (285883007*s[56])/9504 - 
       (346894441*s[57])/14256 + (4269508399*s[58])/85536 - 
       (4309210927*s[59])/85536 - (5139620941*s[60])/19008 + 
       (11440104883*s[61])/769824 - (11*s[68])/9 + (11*s[69])/9 - 
       (16*s[70])/3 + 2*s[71] - (43*s[72])/3 - (11*s[73])/2 + 
       (169*s[74])/12 - (187*s[75])/12 + 12*s[76] + (113*s[77])/18 - 
       (49*s[78])/6 - (1057*s[79])/3 + (187*s[80])/2 - (12091*s[82])/12 - 
       162*s[84] - (664*s[85])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - w]*((-55*s[2])/2 - (299*s[3])/2 - (71009*s[4])/36 - 
       (138191*s[5])/88 - (701343*s[6])/176 - (331165591*s[7])/9504 + 
       (78181681*s[8])/28512 + (76132793*s[9])/2592 + (25010629*s[10])/2592 + 
       (723315661*s[11])/19008 + (391470169*s[12])/9504 + 
       (466571513*s[13])/19008 + (104175349*s[14])/19008 + 
       (40501775*s[15])/864 + (1128605195*s[16])/19008 + 
       (296427287*s[17])/6336 + (50677015*s[18])/7776 + (5076541*s[19])/972 + 
       (6024837659*s[20])/85536 + (4401939739*s[21])/171072 - 
       (3123008633*s[22])/171072 - (723908857*s[23])/19008 - 
       (6571796747*s[24])/171072 + (36942906695*s[25])/769824 - 
       (10323137545*s[26])/384912 + (4*s[29])/3 - (10*s[30])/3 - 4*s[31] + 
       (8*s[32])/3 + (43*s[33])/12 - (20*s[34])/3 - (5*s[35])/6 + 
       (625*s[36])/12 - (1729*s[37])/36 - (5465*s[38])/6 + (69307*s[39])/18 - 
       (157637*s[40])/36 + (250549*s[41])/72 - (400099*s[42])/72 - 
       (706181*s[43])/198 + (7983211*s[44])/2112 - (7108439*s[45])/1584 + 
       (53291353*s[46])/1584 - (20431463*s[47])/19008 - 
       (19093115*s[48])/19008 + (311736779*s[49])/19008 - 
       (2583397*s[50])/99 - (7978229*s[51])/2112 - (56448745*s[52])/19008 + 
       (19191863*s[53])/1056 - (63661*s[54])/198 + (2207778049*s[55])/19008 + 
       (581231113*s[56])/19008 - (346644139*s[57])/14256 + 
       (8713656773*s[58])/171072 - (8838039041*s[59])/171072 - 
       (31709573405*s[60])/114048 + (11684368681*s[61])/769824 + s[65]/3 + 
       (4*s[66])/3 - 2*s[67] + (4*s[68])/3 - (16*s[69])/3 + (4*s[70])/3 + 
       (5*s[71])/3 - 15*s[72] - (7*s[73])/2 + (185*s[74])/12 - (65*s[75])/4 + 
       (46*s[76])/3 + (43*s[77])/6 - (97*s[78])/6 - (1109*s[79])/3 + 
       (874*s[80])/9 - (1947*s[82])/2 - s[83] - 154*s[84] - 220*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((-1037*s[2])/18 + (273*s[3])/4 - (53747*s[4])/36 - (323989*s[5])/198 - 
       (719959*s[6])/198 - (446229007*s[7])/14256 + (89773265*s[8])/42768 + 
       (104755213*s[9])/3888 + (33339329*s[10])/3888 + 
       (973103831*s[11])/28512 + (523043693*s[12])/14256 + 
       (69957515*s[13])/3168 + (174496019*s[14])/28512 + 
       (18010645*s[15])/432 + (499371497*s[16])/9504 + 
       (1180760305*s[17])/28512 + (18305639*s[18])/2916 + 
       (44986087*s[19])/11664 + (8245306939*s[20])/128304 + 
       (6249479183*s[21])/256608 - (4260066355*s[22])/256608 - 
       (104072123*s[23])/3168 - (8702367577*s[24])/256608 + 
       (24378159353*s[25])/577368 - (14134190135*s[26])/577368 + s[27]/3 - 
       (2*s[28])/3 - (28*s[29])/3 + (55*s[30])/6 - (286*s[31])/9 + 
       (32*s[32])/9 - (2093*s[33])/72 + (541*s[34])/18 + (146*s[35])/9 + 
       (1211*s[36])/27 - (3419*s[37])/36 - (11176*s[38])/9 + 
       (42817*s[39])/9 - (146030*s[40])/27 + (25615*s[41])/6 - 
       (733441*s[42])/108 - (1310527*s[43])/297 + (42943319*s[44])/9504 - 
       (4082405*s[45])/792 + (93588653*s[46])/2376 - (39272125*s[47])/28512 - 
       (30293485*s[48])/28512 + (557041975*s[49])/28512 - 
       (8940070*s[50])/297 - (133337465*s[51])/28512 - 
       (112030295*s[52])/28512 + (295272803*s[53])/14256 - 
       (2420701*s[54])/2376 + (1266128593*s[55])/9504 + 
       (1022888353*s[56])/28512 - (716088193*s[57])/21384 + 
       (15727640777*s[58])/256608 - (15816611645*s[59])/256608 - 
       (55528814749*s[60])/171072 + (19920850267*s[61])/1154736 + 
       (5*s[64])/6 - (61*s[65])/18 - (152*s[66])/9 + (160*s[67])/9 + 
       s[68]/9 + (334*s[69])/9 - (53*s[70])/9 + (133*s[71])/18 + 
       (2*s[72])/9 - (10*s[73])/9 + (271*s[74])/18 - (107*s[75])/9 + 
       (86*s[76])/3 + (2*s[77])/9 + (199*s[78])/9 - 569*s[79] + 
       (2177*s[80])/18 - 530*s[82] + (85*s[83])/6 - 301*s[84] - 
       (656*s[85])/3) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*(-s[2]/2 - (131*s[3])/6 - (5231*s[4])/4 - 
       (32953*s[5])/44 - (368625*s[6])/176 - (45785887*s[7])/2376 + 
       (7942553*s[8])/4752 + (6991045*s[9])/432 + (1079953*s[10])/216 + 
       (22378349*s[11])/1056 + (73888993*s[12])/3168 + (8281853*s[13])/594 + 
       (67226*s[14])/33 + (5521219*s[15])/216 + (154867531*s[16])/4752 + 
       (235707613*s[17])/9504 + (1496993*s[18])/432 + (138601*s[19])/48 + 
       (45201703*s[20])/1188 + (96285589*s[21])/7128 - 
       (144672959*s[22])/14256 - (222841615*s[23])/9504 - 
       (596917381*s[24])/28512 + (6985378237*s[25])/256608 - 
       (3765486253*s[26])/256608 - s[28]/2 + (8*s[29])/3 - (16*s[30])/3 + 
       (4*s[31])/3 - (10*s[32])/3 - (13*s[33])/4 - s[34] + (4*s[35])/3 + 
       (145*s[36])/3 - (314*s[37])/9 - (2317*s[38])/3 + (78245*s[39])/24 - 
       (29639*s[40])/8 + (71515*s[41])/24 - (14284*s[42])/3 - 
       (250345*s[43])/88 + (275581*s[44])/88 - (2631199*s[45])/792 + 
       (2617139*s[46])/99 - (404233*s[47])/396 - (379631*s[48])/792 + 
       (5247235*s[49])/396 - (225939*s[50])/11 - (2603201*s[51])/792 - 
       (506155*s[52])/198 + (33736007*s[53])/2376 - (162919*s[54])/396 + 
       (11898215*s[55])/132 + (28246763*s[56])/1188 - 
       (161151883*s[57])/7128 + (872022929*s[58])/21384 - 
       (884650235*s[59])/21384 - (1032066403*s[60])/4752 + 
       (4447851073*s[61])/384912 + (2*s[64])/3 + (5*s[65])/3 + 4*s[66] - 
       (16*s[67])/3 + (2*s[68])/3 - (29*s[69])/3 - (2*s[70])/3 + 
       (5*s[71])/3 - (40*s[72])/3 + (14*s[73])/3 + (56*s[74])/3 - 17*s[75] + 
       (20*s[76])/3 + (31*s[77])/3 - (52*s[78])/3 - 398*s[79] + 
       (938*s[80])/9 - (1607*s[82])/2 + 2*s[83] - 194*s[84] - 212*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - v]*
      (-27*s[2] - (215*s[3])/2 - (8679*s[4])/4 - (138821*s[5])/88 - 
       (89737*s[6])/22 - (19087241*s[7])/528 + (1156655*s[8])/396 + 
       (2196155*s[9])/72 + (692143*s[10])/72 + (2621129*s[11])/66 + 
       (22914257*s[12])/528 + (13737887*s[13])/528 + (2549167*s[14])/528 + 
       (766877*s[15])/16 + (4031557*s[16])/66 + (1036425*s[17])/22 + 
       (364213*s[18])/54 + (1133117*s[19])/216 + (171479903*s[20])/2376 + 
       (124629133*s[21])/4752 - (90293627*s[22])/4752 - 
       (22034131*s[23])/528 - (187246787*s[24])/4752 + 
       (2156714695*s[25])/42768 - (1190568925*s[26])/42768 - (9*s[30])/2 - 
       9*s[31] + 3*s[32] - (27*s[33])/8 + (15*s[34])/2 + 5*s[35] + 
       (159*s[36])/2 - 100*s[37] - 1209*s[38] + (9861*s[39])/2 - 5555*s[40] + 
       (17481*s[41])/4 - 7132*s[42] - (48255*s[43])/11 + (204189*s[44])/44 - 
       (446723*s[45])/88 + (3483913*s[46])/88 - (415465*s[47])/264 - 
       (219577*s[48])/264 + (656903*s[49])/33 - (669089*s[50])/22 - 
       (161648*s[51])/33 - (522103*s[52])/132 + (5547427*s[53])/264 - 
       (32531*s[54])/44 + (35212037*s[55])/264 + (4698605*s[56])/132 - 
       (14257703*s[57])/396 + (147049205*s[58])/2376 - (18539500*s[59])/297 - 
       (513371059*s[60])/1584 + (743735827*s[61])/42768 + 3*s[70] + 3*s[71] - 
       18*s[72] + 22*s[74] - 22*s[75] + 26*s[76] + 5*s[77] - 21*s[78] - 
       474*s[79] + 109*s[80] - 675*s[82] - 216*s[84] - 204*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
      (-27*s[2] - (213*s[3])/2 - (8671*s[4])/4 - (139317*s[5])/88 - 
       (357679*s[6])/88 - (19148629*s[7])/528 + (776537*s[8])/264 + 
       (91781*s[9])/3 + (232247*s[10])/24 + (7005065*s[11])/176 + 
       (3822303*s[12])/88 + (13769015*s[13])/528 + (847117*s[14])/176 + 
       (2317391*s[15])/48 + (16193215*s[16])/264 + (25070527*s[17])/528 + 
       (159913*s[18])/24 + (64565*s[19])/12 + (19094789*s[20])/264 + 
       (41568895*s[21])/1584 - (30177679*s[22])/1584 - (1371994*s[23])/33 - 
       (7848953*s[24])/198 + (360591155*s[25])/7128 - (24844312*s[26])/891 - 
       (9*s[30])/2 - 9*s[31] + 3*s[32] - (27*s[33])/8 + (15*s[34])/2 + 
       5*s[35] + 76*s[36] - (217*s[37])/2 - 1194*s[38] + (39175*s[39])/8 - 
       (44151*s[40])/8 + (34647*s[41])/8 - (56689*s[42])/8 - 
       (390325*s[43])/88 + (817873*s[44])/176 - (460409*s[45])/88 + 
       (1771763*s[46])/44 - (265405*s[47])/176 - (167571*s[48])/176 + 
       (3540737*s[49])/176 - (682677*s[50])/22 - (2540051*s[51])/528 - 
       (678789*s[52])/176 + (947927*s[53])/44 - (24791*s[54])/44 + 
       (24102467*s[55])/176 + (6392915*s[56])/176 - (373731*s[57])/11 + 
       (32879549*s[58])/528 - (33315893*s[59])/528 - (116459843*s[60])/352 + 
       (2346689*s[61])/132 + 3*s[71] - 18*s[72] + (41*s[74])/2 - 
       (41*s[75])/2 + 26*s[76] + 5*s[77] - 18*s[78] - 468*s[79] + 109*s[80] - 
       675*s[82] - 216*s[84] - 204*s[85]) + HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((25*s[2])/2 - (61*s[3])/4 - (78169*s[4])/24 - (262883*s[5])/132 - 
       (474017*s[6])/88 - (25999711*s[7])/528 + (31230455*s[8])/7128 + 
       (6699631*s[9])/162 + (4006207*s[10])/324 + (258322703*s[11])/4752 + 
       (142781123*s[12])/2376 + (172339943*s[13])/4752 + 
       (21765377*s[14])/4752 + (27969721*s[15])/432 + (24531548*s[16])/297 + 
       (295638005*s[17])/4752 + (4175969*s[18])/486 + (14561725*s[19])/1944 + 
       (2053205305*s[20])/21384 + (1457926343*s[21])/42768 - 
       (1107493567*s[22])/42768 - (142111049*s[23])/2376 - 
       (1145036153*s[24])/21384 + (6747044783*s[25])/96228 - 
       (903989249*s[26])/24057 - (4*s[28])/3 + 12*s[29] - (19*s[30])/3 + 
       28*s[32] + (197*s[33])/6 + 9*s[34] + 40*s[35] + (2441*s[36])/18 - 
       (241*s[37])/2 - (3549*s[38])/2 + (169345*s[39])/24 - 
       (567095*s[40])/72 + (149407*s[41])/24 - (736615*s[42])/72 - 
       (4977541*s[43])/792 + (10388309*s[44])/1584 - (468775*s[45])/66 + 
       (44089615*s[46])/792 - (11182495*s[47])/4752 - (4409377*s[48])/4752 + 
       (134694025*s[49])/4752 - (4258025*s[50])/99 - (33951113*s[51])/4752 - 
       (26468411*s[52])/4752 + (35584135*s[53])/1188 - (77797*s[54])/99 + 
       (299655487*s[55])/1584 + (235352779*s[56])/4752 - 
       (174512647*s[57])/3564 + (3693653177*s[58])/42768 - 
       (3762157127*s[59])/42768 - (13007416243*s[60])/28512 + 
       (9319663931*s[61])/384912 + (32*s[63])/3 - s[64]/3 + (4*s[65])/3 + 
       (38*s[66])/3 - (56*s[67])/3 - (32*s[68])/3 - (94*s[69])/3 - 
       (146*s[70])/3 + 9*s[71] - (80*s[72])/3 + (109*s[73])/3 + 33*s[74] - 
       38*s[75] + (20*s[76])/3 + (196*s[77])/3 - (109*s[78])/3 - 
       (1750*s[79])/3 + (296*s[80])/3 - 378*s[82] - (9*s[83])/2 - 295*s[84] - 
       188*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - v]*((-199*s[2])/6 - (5*s[3])/12 + 
       (26611*s[4])/24 - (12250*s[5])/33 + (19079*s[6])/88 + 
       (18994963*s[7])/4752 - (8573161*s[8])/7128 - (877735*s[9])/324 + 
       (93245*s[10])/162 - (25827649*s[11])/4752 - (9484019*s[12])/1188 - 
       (8666957*s[13])/1584 + (23191667*s[14])/4752 - (417727*s[15])/144 - 
       (59219*s[16])/11 + (1511881*s[17])/4752 + (213619*s[18])/972 - 
       (2213687*s[19])/1944 - (46675241*s[20])/21384 + 
       (51248225*s[21])/42768 + (88833287*s[22])/42768 + 
       (5762125*s[23])/396 + (18454603*s[24])/5346 - (1878361805*s[25])/
        192456 + (482124539*s[26])/192456 - s[28]/3 - (74*s[29])/3 + 
       (52*s[30])/3 - (4*s[31])/3 - 10*s[32] + (11*s[33])/12 - (88*s[34])/3 - 
       (67*s[35])/3 - (1985*s[36])/18 + (815*s[37])/9 + (3053*s[38])/6 - 
       (15621*s[39])/8 + (143105*s[40])/72 - (34949*s[41])/24 + 
       (209419*s[42])/72 + (986539*s[43])/792 - (2350253*s[44])/1584 + 
       (147881*s[45])/396 - (5915579*s[46])/792 + (4993447*s[47])/4752 - 
       (4209131*s[48])/4752 - (28964509*s[49])/4752 + (1113301*s[50])/198 + 
       (9179081*s[51])/4752 + (7208807*s[52])/4752 - (4395899*s[53])/1188 - 
       (2657*s[54])/198 - (31063807*s[55])/1584 - (6990845*s[56])/1584 + 
       (2673901*s[57])/132 - (206753975*s[58])/14256 + 
       (216004817*s[59])/14256 + (1580089867*s[60])/28512 - 
       (245191057*s[61])/128304 - (2*s[64])/3 - (19*s[65])/3 - (62*s[66])/3 + 
       32*s[67] + (64*s[68])/3 + 52*s[69] + (10*s[71])/3 + 26*s[72] - 
       (109*s[73])/3 - (47*s[74])/2 + (43*s[75])/2 - (62*s[76])/3 + s[77]/3 + 
       (197*s[78])/3 + (34*s[79])/3 + (427*s[80])/9 - 888*s[82] + 
       (35*s[83])/2 + 5*s[84] - 188*s[85]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*((-211*s[2])/18 + 
       (389*s[3])/12 - (208055*s[4])/72 - (2934557*s[5])/1584 - 
       (954487*s[6])/198 - (47902375*s[7])/1056 + (9344623*s[8])/2376 + 
       (4138273*s[9])/108 + (4982843*s[10])/432 + (159057959*s[11])/3168 + 
       (58723397*s[12])/1056 + (53261465*s[13])/1584 + (7067743*s[14])/1584 + 
       (51224231*s[15])/864 + (240663931*s[16])/3168 + (20006721*s[17])/352 + 
       (2558789*s[18])/324 + (8967871*s[19])/1296 + (1267942045*s[20])/
        14256 + (450233131*s[21])/14256 - (170974105*s[22])/7128 - 
       (85131413*s[23])/1584 - (353774617*s[24])/7128 + 
       (8288701921*s[25])/128304 - (2222987441*s[26])/64152 - (11*s[28])/3 + 
       (97*s[29])/9 - (26*s[30])/3 - (8*s[31])/3 + (89*s[32])/9 + 
       (59*s[33])/9 + (119*s[34])/9 + (176*s[35])/9 + (2849*s[36])/27 - 
       (1973*s[37])/12 - (27989*s[38])/18 + (144661*s[39])/24 - 
       (1460773*s[40])/216 + (15830*s[41])/3 - (3771775*s[42])/432 - 
       (12569267*s[43])/2376 + (53048735*s[44])/9504 - (4577663*s[45])/792 + 
       (27315203*s[46])/594 - (59551993*s[47])/28512 - 
       (19431517*s[48])/28512 + (682090537*s[49])/28512 - 
       (20978219*s[50])/594 - (173574623*s[51])/28512 - 
       (138271571*s[52])/28512 + (345923471*s[53])/14256 - 
       (1786501*s[54])/2376 + (1460242499*s[55])/9504 + 
       (1153686499*s[56])/28512 - (1936438931*s[57])/42768 + 
       (18675785453*s[58])/256608 - (18881400425*s[59])/256608 - 
       (64560023047*s[60])/171072 + (2819527283*s[61])/144342 + 
       (22*s[63])/3 + (4*s[64])/3 + (5*s[65])/18 + (58*s[66])/9 - 13*s[67] - 
       (59*s[68])/3 - (52*s[69])/3 - 42*s[70] + (103*s[71])/18 - 
       (148*s[72])/9 + (368*s[73])/9 + (250*s[74])/9 - (491*s[75])/18 + 
       (149*s[76])/9 + (407*s[77])/9 - (49*s[78])/3 - (1765*s[79])/3 + 
       (1891*s[80])/18 - 657*s[82] + (17*s[83])/3 - (926*s[84])/3 - 
       180*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1, 1}, 1 - u]*(-18*s[2] - 54*s[3] - (5579*s[4])/4 - 
       (3837*s[5])/4 - (39617*s[6])/16 - (67996*s[7])/3 + (259585*s[8])/144 + 
       (2754979*s[9])/144 + (218399*s[10])/36 + (2392123*s[11])/96 + 
       (2611667*s[12])/96 + (786055*s[13])/48 + (133415*s[14])/48 + 
       (723907*s[15])/24 + (918587*s[16])/24 + (943445*s[17])/32 + 
       (1755275*s[18])/432 + (1519237*s[19])/432 + (4864307*s[20])/108 + 
       (7022681*s[21])/432 - (2575127*s[22])/216 - (2469241*s[23])/96 - 
       (21553445*s[24])/864 + (246890749*s[25])/7776 - 
       (135223321*s[26])/7776 - 3*s[30] - 6*s[31] - (21*s[33])/4 + 9*s[34] + 
       4*s[35] + 66*s[36] - 26*s[37] - (1669*s[38])/2 + (25699*s[39])/8 - 
       (28867*s[40])/8 + (11505*s[41])/4 - 4565*s[42] - (266491*s[43])/88 + 
       (545649*s[44])/176 - (307613*s[45])/88 + (1175513*s[46])/44 - 
       (145339*s[47])/176 - (149937*s[48])/176 + (2415665*s[49])/176 - 
       (456805*s[50])/22 - (551821*s[51])/176 - (439961*s[52])/176 + 
       (947071*s[53])/66 + (1619*s[54])/22 + (16092481*s[55])/176 + 
       (12410347*s[56])/528 - (7852759*s[57])/396 + (192062045*s[58])/4752 - 
       (196381235*s[59])/4752 - (234277547*s[60])/1056 + 
       (495855581*s[61])/42768 + 6*s[68] - 6*s[69] + 6*s[71] - 12*s[72] + 
       14*s[74] - 14*s[75] + 16*s[76] + 10*s[77] - 12*s[78] - 264*s[79] + 
       20*s[80] - 411*s[82] - 144*s[84] - 180*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - v]*
      ((-20*s[2])/3 - (263*s[3])/2 - 152*s[4] - (3046*s[5])/11 - 
       (26229*s[6])/44 - (3079961*s[7])/594 + (206138*s[8])/891 + 
       (350182*s[9])/81 + (684581*s[10])/324 + (3173723*s[11])/594 + 
       (12209023*s[12])/2376 + (2257037*s[13])/792 + (4924289*s[14])/2376 + 
       (73738*s[15])/9 + (7677907*s[16])/792 + (11011865*s[17])/1188 + 
       (390493*s[18])/486 + (1301755*s[19])/972 + (63546047*s[20])/5346 + 
       (92493725*s[21])/21384 - (56151319*s[22])/21384 - (335671*s[23])/198 - 
       (36235951*s[24])/5346 + (1210804883*s[25])/192456 - 
       (741271499*s[26])/192456 + s[27]/6 + (26*s[31])/3 + 5*s[32] + 
       6*s[33] - 18*s[34] - (55*s[35])/3 - (100*s[36])/9 + (125*s[37])/3 + 
       (31*s[38])/6 - (11*s[39])/24 - (6667*s[40])/72 + (2867*s[41])/24 + 
       (5923*s[42])/72 - (326489*s[43])/792 + (586045*s[44])/1584 - 
       (68951*s[45])/66 + (4287707*s[46])/792 + (2015413*s[47])/4752 - 
       (4757309*s[48])/4752 + (9807533*s[49])/4752 - (464953*s[50])/99 + 
       (102107*s[51])/4752 + (1027901*s[52])/4752 + (8122255*s[53])/2376 + 
       (269065*s[54])/396 + (37192763*s[55])/1584 + (24251903*s[56])/4752 + 
       (31954387*s[57])/3564 + (200620537*s[58])/42768 - 
       (230891443*s[59])/42768 - (1482145355*s[60])/28512 + 
       (1109050045*s[61])/384912 + (44*s[68])/3 - (44*s[69])/3 + s[71]/6 - 
       (7*s[74])/3 + (7*s[75])/3 - (26*s[76])/3 + (44*s[77])/3 + 
       (28*s[78])/3 - 20*s[79] + 21*s[80] - 904*s[82] - 176*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      (-23*s[2] - (213*s[3])/4 - (21551*s[4])/8 - (90715*s[5])/66 - 
       (1103761*s[6])/264 - (179717555*s[7])/4752 + (24151349*s[8])/7128 + 
       (10241411*s[9])/324 + (2992621*s[10])/324 + (199787849*s[11])/4752 + 
       (111413519*s[12])/2376 + (45213679*s[13])/1584 + 
       (12185339*s[14])/4752 + (2348101*s[15])/48 + (16638025*s[16])/264 + 
       (220159711*s[17])/4752 + (6482347*s[18])/972 + (10890019*s[19])/1944 + 
       (1555767409*s[20])/21384 + (1093985405*s[21])/42768 - 
       (850657213*s[22])/42768 - (19209227*s[23])/396 - 
       (217532441*s[24])/5346 + (2631265045*s[25])/48114 - 
       (1389475033*s[26])/48114 + (5*s[29])/3 - 9*s[30] - (53*s[31])/3 - 
       (10*s[32])/3 - (139*s[33])/12 + (89*s[34])/3 + (98*s[35])/3 + 
       (1139*s[36])/9 - 101*s[37] - (9173*s[38])/6 + (17927*s[39])/3 - 
       (60005*s[40])/9 + (20995*s[41])/4 - (309187*s[42])/36 - 
       (524947*s[43])/99 + (2209789*s[44])/396 - (249033*s[45])/44 + 
       (18117061*s[46])/396 - (2208017*s[47])/1188 - (1122911*s[48])/1188 + 
       (28456037*s[49])/1188 - (13878553*s[50])/396 - (1740583*s[51])/297 - 
       (5649091*s[52])/1188 + (28668275*s[53])/1188 - (297617*s[54])/396 + 
       (20122339*s[55])/132 + (48128693*s[56])/1188 - (78771019*s[57])/1782 + 
       (769429351*s[58])/10692 - (779758057*s[59])/10692 - 
       (666244301*s[60])/1782 + (3754656173*s[61])/192456 + s[64]/2 + 
       (11*s[65])/6 + (16*s[66])/3 - (16*s[67])/3 - (10*s[68])/3 - 
       (13*s[69])/3 - (10*s[70])/3 + (37*s[71])/6 - (70*s[72])/3 - 
       (16*s[73])/3 + 31*s[74] - (59*s[75])/2 + (124*s[76])/3 + 
       (17*s[77])/3 - (94*s[78])/3 - 540*s[79] + (236*s[80])/3 - 164*s[82] + 
       s[83]/2 - 295*s[84] - 176*s[85]) + HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u]*((-93*s[2])/4 - (55*s[3])/2 + (2453*s[4])/4 + 
       (15813*s[5])/88 + (9311*s[6])/22 + (1138463*s[7])/198 - 
       (869783*s[8])/1188 - (1041521*s[9])/216 - (86825*s[10])/108 - 
       (10468705*s[11])/1584 - (12377771*s[12])/1584 - (662153*s[13])/132 + 
       (239137*s[14])/198 - (174067*s[15])/24 - (792643*s[16])/88 - 
       (8888477*s[17])/1584 - (196541*s[18])/324 - (348649*s[19])/324 - 
       (67290923*s[20])/7128 - (10584055*s[21])/3564 + 
       (10911653*s[22])/3564 + (5391385*s[23])/528 + (85883075*s[24])/14256 - 
       (601634687*s[25])/64152 + (279597821*s[26])/64152 + (13*s[30])/2 + 
       6*s[32] + (27*s[33])/4 - (33*s[34])/2 - (3*s[35])/2 - (775*s[36])/12 + 
       (3035*s[37])/24 + 445*s[38] - (24609*s[39])/16 + (77575*s[40])/48 - 
       (18361*s[41])/16 + (106775*s[42])/48 + (626789*s[43])/528 - 
       (1202815*s[44])/1056 + (296497*s[45])/528 - (600271*s[46])/88 + 
       (2536277*s[47])/3168 - (2126689*s[48])/3168 - (15549599*s[49])/3168 + 
       (164612*s[50])/33 + (4450375*s[51])/3168 + (4017469*s[52])/3168 - 
       (902117*s[53])/264 + (5206*s[54])/11 - (21437177*s[55])/1056 - 
       (15168169*s[56])/3168 + (35376019*s[57])/2376 - 
       (363183377*s[58])/28512 + (387043241*s[59])/28512 + 
       (1022911415*s[60])/19008 - (117287303*s[61])/64152 - 9*s[70] - 
       (3*s[71])/2 + 6*s[72] - (3*s[74])/4 + (9*s[75])/4 - 9*s[76] + 
       (21*s[77])/2 + 9*s[78] + 158*s[79] - (121*s[80])/12 - 630*s[82] - 
       72*s[84] - 174*s[85]) + HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-177*s[2])/4 + 253*s[3] + (1981*s[4])/8 - (22419*s[5])/88 - 
       (31995*s[6])/88 - (5324849*s[7])/1584 - (8111*s[8])/264 + 
       (78919*s[9])/24 + (20699*s[10])/12 + (869383*s[11])/264 + 
       (507453*s[12])/176 + (2154289*s[13])/1584 + (1458869*s[14])/528 + 
       (713825*s[15])/144 + (4951223*s[16])/792 + (1235917*s[17])/198 + 
       (95617*s[18])/108 + (20833*s[19])/216 + (2720648*s[20])/297 + 
       (18750019*s[21])/4752 - (3172655*s[22])/1584 + (1288711*s[23])/1584 - 
       (6090697*s[24])/1584 + (7595791*s[25])/2673 - (27293023*s[26])/10692 + 
       17*s[30] - 12*s[31] + (51*s[32])/2 - (3*s[33])/4 + (15*s[34])/2 + 
       (9*s[35])/2 - (55*s[36])/12 + (469*s[37])/8 + (223*s[38])/2 - 
       (1453*s[39])/16 - (725*s[40])/48 + (2343*s[41])/16 + (1943*s[42])/48 + 
       (18449*s[43])/528 + (160697*s[44])/1056 - (28513*s[45])/176 + 
       (446735*s[46])/264 + (721637*s[47])/3168 - (1749865*s[48])/3168 + 
       (1256881*s[49])/3168 - (238105*s[50])/132 - (69977*s[51])/3168 + 
       (439885*s[52])/3168 + (790855*s[53])/792 + (69319*s[54])/132 + 
       (6953719*s[55])/1056 + (6523687*s[56])/3168 + (1598263*s[57])/1188 + 
       (49335887*s[58])/28512 - (38082431*s[59])/28512 - 
       (306643753*s[60])/19008 + (33708769*s[61])/32076 + (3*s[65])/2 + 
       12*s[66] - 12*s[67] + 8*s[68] - 30*s[69] + (27*s[70])/2 - 3*s[71] - 
       6*s[72] + 12*s[73] + (33*s[74])/4 - (27*s[75])/4 + 14*s[76] + 
       2*s[77] - 17*s[78] - 170*s[79] + (249*s[80])/4 - 630*s[82] - 
       72*s[84] - 174*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[w, v, u]*
      ((-64*s[2])/3 - (1280*s[3])/9 + (152*s[4])/9 - (23552*s[5])/99 - 
       (4556*s[6])/11 - (1048480*s[7])/297 - (19892*s[8])/297 + 
       (81020*s[9])/27 + (46576*s[10])/27 + (41298*s[11])/11 + 
       (116426*s[12])/33 + (611060*s[13])/297 + (222496*s[14])/99 + 
       (149032*s[15])/27 + (2010368*s[16])/297 + (1998166*s[17])/297 + 
       (11932*s[18])/27 + (10516*s[19])/9 + (2671916*s[20])/297 + 
       (2992444*s[21])/891 - (1619476*s[22])/891 + (410774*s[23])/297 - 
       (4650958*s[24])/891 + (33166942*s[25])/8019 - (22146226*s[26])/8019 + 
       (64*s[32])/9 + (128*s[37])/3 - (368*s[38])/9 - (1664*s[39])/9 + 
       (896*s[40])/9 - (224*s[41])/3 + (5032*s[42])/9 - (27136*s[43])/99 + 
       (30904*s[44])/99 - (97984*s[45])/99 + (45104*s[46])/11 + 
       (185912*s[47])/297 - (388816*s[48])/297 + (520264*s[49])/297 - 
       (113776*s[50])/33 + (120520*s[51])/297 + (102472*s[52])/297 + 
       (694616*s[53])/297 + (81152*s[54])/99 + (5531344*s[55])/297 + 
       (422240*s[56])/99 + (3191288*s[57])/297 + (2496424*s[58])/891 - 
       (2942656*s[59])/891 - (39123488*s[60])/891 + (5932360*s[61])/2673 + 
       (128*s[68])/9 - (128*s[69])/9 + (128*s[77])/9 - (3104*s[82])/3 - 
       (512*s[85])/3) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[u, v, w]*
      ((-64*s[2])/3 - (1280*s[3])/9 - (880*s[4])/9 - (21104*s[5])/99 - 
       (5204*s[6])/11 - (1234444*s[7])/297 + (21844*s[8])/297 + 
       (94364*s[9])/27 + (47920*s[10])/27 + (145690*s[11])/33 + 
       (143210*s[12])/33 + (727424*s[13])/297 + (187852*s[14])/99 + 
       (168220*s[15])/27 + (2292800*s[16])/297 + (2130994*s[17])/297 + 
       (2108*s[18])/3 + (28948*s[19])/27 + (976348*s[20])/99 + 
       (3226192*s[21])/891 - (1899640*s[22])/891 - (183034*s[23])/297 - 
       (4913086*s[24])/891 + (40762582*s[25])/8019 - (25524682*s[26])/8019 + 
       (64*s[32])/9 + (128*s[37])/3 - (176*s[38])/9 - (248*s[39])/9 - 
       (520*s[40])/9 + 88*s[41] + (1648*s[42])/9 - (29848*s[43])/99 + 
       (33844*s[44])/99 - (86392*s[45])/99 + (46752*s[46])/11 + 
       (116276*s[47])/297 - (292924*s[48])/297 + (503716*s[49])/297 - 
       (118928*s[50])/33 + (24268*s[51])/297 + (37684*s[52])/297 + 
       (710264*s[53])/297 + (57824*s[54])/99 + (5222764*s[55])/297 + 
       (416204*s[56])/99 + (1995032*s[57])/297 + (3540436*s[58])/891 - 
       (3656764*s[59])/891 - (37351142*s[60])/891 + (6237448*s[61])/2673 + 
       (128*s[68])/9 - (128*s[69])/9 + (128*s[77])/9 - (2528*s[82])/3 - 
       (512*s[85])/3) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w]*(-15*s[2] - (579*s[3])/4 - (12639*s[4])/4 - 
       (69427*s[5])/44 - (104873*s[6])/22 - (69441979*s[7])/1584 + 
       (9752509*s[8])/2376 + (3942907*s[9])/108 + (2329699*s[10])/216 + 
       (4812568*s[11])/99 + (42949741*s[12])/792 + (8643095*s[13])/264 + 
       (2305349*s[14])/792 + (2741101*s[15])/48 + (38769725*s[16])/528 + 
       (43038571*s[17])/792 + (5017669*s[18])/648 + (537097*s[19])/81 + 
       (75310828*s[20])/891 + (105211531*s[21])/3564 - 
       (81879137*s[22])/3564 - (29799977*s[23])/528 - 
       (672172397*s[24])/14256 + (8124955903*s[25])/128304 - 
       (4280940883*s[26])/128304 + 13*s[29] - (33*s[30])/2 - 10*s[31] + 
       s[32] - (121*s[33])/8 + (47*s[34])/2 + 34*s[35] + (442*s[36])/3 - 
       (667*s[37])/4 - (3253*s[38])/2 + (13385*s[39])/2 - (44567*s[40])/6 + 
       (23247*s[41])/4 - (58303*s[42])/6 - (34073*s[43])/6 + 
       (295825*s[44])/48 - (50689*s[45])/8 + (1225421*s[46])/24 - 
       (341765*s[47])/144 - (65813*s[48])/144 + (3765083*s[49])/144 - 
       (469939*s[50])/12 - (958777*s[51])/144 - (768097*s[52])/144 + 
       (488269*s[53])/18 - (2936*s[54])/3 + (2737079*s[55])/16 + 
       (6547409*s[56])/144 - (5439317*s[57])/108 + (104655175*s[58])/1296 - 
       (105875809*s[59])/1296 - (358377083*s[60])/864 + 
       (257912809*s[61])/11664 + (7*s[65])/2 + 14*s[66] - 20*s[67] - 
       14*s[68] - 26*s[69] - 2*s[70] - s[71]/2 - 38*s[72] + 28*s[73] + 
       39*s[74] - 39*s[75] + 38*s[76] + 16*s[77] - 65*s[78] - 564*s[79] + 
       (247*s[80])/2 - 558*s[82] - (21*s[83])/2 - 249*s[84] - 168*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((-43*s[2])/2 - (237*s[3])/4 - (6391*s[4])/24 - (1953*s[5])/4 - 
       (8611*s[6])/8 - (1181641*s[7])/144 + (27571*s[8])/72 + 
       (251843*s[9])/36 + (49907*s[10])/18 + (138679*s[11])/16 + 
       (52561*s[12])/6 + (724517*s[13])/144 + (45055*s[14])/16 + 
       (1689977*s[15])/144 + (521081*s[16])/36 + (1843621*s[17])/144 + 
       (188561*s[18])/108 + (260975*s[19])/216 + (3908977*s[20])/216 + 
       (1009901*s[21])/144 - (1840271*s[22])/432 - (213727*s[23])/36 - 
       (252215*s[24])/27 + (3303989*s[25])/324 - (2059685*s[26])/324 - 
       10*s[29] + 6*s[30] - 2*s[31] + s[32]/3 + (13*s[33])/4 - (38*s[34])/3 - 
       s[35]/3 - (142*s[36])/9 + (400*s[37])/9 - 83*s[38] + (5539*s[39])/12 - 
       (22025*s[40])/36 + (6833*s[41])/12 - (23629*s[42])/36 - 
       (247495*s[43])/396 + (65008*s[44])/99 - (261097*s[45])/198 + 
       (1075937*s[46])/132 + (22345*s[47])/297 - (887387*s[48])/1188 + 
       (872684*s[49])/297 - (642007*s[50])/99 - (645823*s[51])/1188 - 
       (386065*s[52])/1188 + (910867*s[53])/198 + (1675*s[54])/33 + 
       (12110957*s[55])/396 + (2474653*s[56])/297 + (4036025*s[57])/3564 + 
       (56919019*s[58])/5346 - (112279967*s[59])/10692 - 
       (247486609*s[60])/3564 + (837620299*s[61])/192456 - s[62]/3 - 
       (5*s[64])/3 - 2*s[65] - (10*s[66])/3 + 10*s[67] + (14*s[68])/3 + 
       16*s[69] - 10*s[70] + (10*s[71])/3 + 6*s[72] - (26*s[73])/3 + 
       (25*s[74])/6 - (7*s[75])/2 - 2*s[76] - s[77] - (22*s[78])/3 - 
       96*s[79] + (380*s[80])/9 - 576*s[82] - 6*s[83] - 112*s[84] - 
       168*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*((-167*s[2])/3 + (463*s[3])/6 - (8639*s[4])/12 - 
       (69385*s[5])/66 - (96093*s[6])/44 - (4950787*s[7])/264 + 
       (4165883*s[8])/3564 + (2628857*s[9])/162 + (456731*s[10])/81 + 
       (47785337*s[11])/2376 + (12494815*s[12])/594 + (29476439*s[13])/2376 + 
       (11065217*s[14])/2376 + (5598361*s[15])/216 + (9581668*s[16])/297 + 
       (63757283*s[17])/2376 + (908441*s[18])/243 + (2361439*s[19])/972 + 
       (423142141*s[20])/10692 + (324634043*s[21])/21384 - 
       (213429559*s[22])/21384 - (5229839*s[23])/297 - 
       (54779957*s[24])/2673 + (1171787147*s[25])/48114 - 
       (697836509*s[26])/48114 + s[28]/3 - (22*s[29])/3 + (2*s[30])/3 - 
       (80*s[31])/3 + (19*s[32])/3 - (55*s[33])/6 + (118*s[34])/3 + 
       (28*s[35])/3 + (184*s[36])/3 - (304*s[37])/9 - (1253*s[38])/3 + 
       (6083*s[39])/3 - 2343*s[40] + (3801*s[41])/2 - (18259*s[42])/6 - 
       (5335*s[43])/3 + (8019*s[44])/4 - (39247*s[45])/18 + 
       (313249*s[46])/18 - (5839*s[47])/9 - (2962*s[48])/9 + 
       (74284*s[49])/9 - 13627*s[50] - (12799*s[51])/6 - (57581*s[52])/36 + 
       (510089*s[53])/54 - (4367*s[54])/18 + (538225*s[55])/9 + 
       (436271*s[56])/27 - (1166024*s[57])/81 + (6494962*s[58])/243 - 
       (13098275*s[59])/486 - (15360871*s[60])/108 + (69028573*s[61])/8748 - 
       (16*s[63])/3 - (5*s[64])/3 + (8*s[65])/3 + (20*s[66])/3 - 
       (26*s[67])/3 + (14*s[68])/3 - 12*s[69] - 6*s[70] - 2*s[71] - 
       (44*s[72])/3 + (20*s[73])/3 + (44*s[74])/3 - (43*s[75])/3 + 
       (20*s[76])/3 + (10*s[77])/3 - 20*s[78] - (928*s[79])/3 + 
       (958*s[80])/9 - 576*s[82] - 6*s[83] - 112*s[84] - 168*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 1}, 1 - w]*
      ((207*s[2])/4 - (1473*s[3])/8 - (759*s[4])/16 + (19203*s[5])/176 + 
       (1151*s[6])/22 - (163385*s[7])/1056 + (7493*s[8])/396 - 
       (20879*s[9])/144 + (111365*s[10])/144 - (200839*s[11])/1056 - 
       (383923*s[12])/528 - (266081*s[13])/352 + (714311*s[14])/1056 + 
       (68087*s[15])/32 + (16286*s[16])/11 + (3005989*s[17])/1056 - 
       (135895*s[18])/432 + (396361*s[19])/432 + (6429217*s[20])/4752 + 
       (1731923*s[21])/9504 + (926567*s[22])/9504 + (224087*s[23])/88 - 
       (3246745*s[24])/2376 - (25499113*s[25])/85536 + 
       (3277825*s[26])/85536 + 12*s[29] - 6*s[30] + 45*s[31] + (3*s[32])/4 + 
       (51*s[33])/2 - (105*s[34])/2 - (165*s[35])/2 + (41*s[36])/2 + 
       (433*s[37])/4 + 149*s[38] - (6071*s[39])/8 + (6123*s[40])/8 - 
       588*s[41] + (9229*s[42])/8 + (13485*s[43])/88 - (8309*s[44])/22 - 
       (16227*s[45])/44 - (22597*s[46])/88 + (65611*s[47])/88 - 
       (22155*s[48])/22 - (16387*s[49])/22 - (35301*s[50])/88 + 
       (70791*s[51])/88 + (68821*s[52])/88 + (30571*s[53])/44 + 
       (47699*s[54])/44 + (535317*s[55])/88 + (14361*s[56])/88 + 
       (4316509*s[57])/264 - (3762953*s[58])/792 + (667343*s[59])/198 - 
       (1634425*s[60])/264 + (651331*s[61])/1782 - (3*s[62])/2 + 3*s[65] + 
       12*s[66] - 18*s[67] + 15*s[68] - 51*s[69] + (3*s[70])/2 + 
       (9*s[71])/2 - 6*s[72] + 18*s[73] - (3*s[74])/2 + (3*s[75])/2 - 
       39*s[76] + 30*s[77] - 6*s[78] + 54*s[79] - 7*s[80] - 420*s[82] - 
       9*s[83] + 54*s[84] - 162*s[85]) + HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1, 1}, 1 - w]*((21*s[2])/2 - (1599*s[3])/8 - 
       (1077*s[4])/16 + (113703*s[5])/176 + (14159*s[6])/22 + 
       (5170111*s[7])/1056 - (25807*s[8])/396 - (683513*s[9])/144 - 
       (164989*s[10])/144 - (5489995*s[11])/1056 - (2782675*s[12])/528 - 
       (1100065*s[13])/352 - (1930249*s[14])/1056 - (201637*s[15])/32 - 
       (86540*s[16])/11 - (6823667*s[17])/1056 - (701941*s[18])/432 + 
       (170605*s[19])/432 - (51267443*s[20])/4752 - (50696209*s[21])/9504 + 
       (26185751*s[22])/9504 + (68674*s[23])/11 + (10096997*s[24])/2376 - 
       (477023425*s[25])/85536 + (368520289*s[26])/85536 + 12*s[29] - 
       (15*s[30])/2 + 24*s[31] + 9*s[32] + (87*s[33])/8 - (63*s[34])/2 - 
       (45*s[35])/2 + 12*s[36] + (313*s[37])/4 + 241*s[38] - (4211*s[39])/4 + 
       (4271*s[40])/4 - (6993*s[41])/8 + (6171*s[42])/4 + (25427*s[43])/44 - 
       (102389*s[44])/176 + (11387*s[45])/44 - (45101*s[46])/11 + 
       (364333*s[47])/528 - (423971*s[48])/528 - (1327783*s[49])/528 + 
       (220343*s[50])/88 + (459005*s[51])/528 + (502109*s[52])/528 - 
       (496013*s[53])/264 + (40719*s[54])/44 - (5263523*s[55])/528 - 
       (1819117*s[56])/528 + (1527019*s[57])/99 - (45041405*s[58])/4752 + 
       (44208977*s[59])/4752 + (83484193*s[60])/3168 - 
       (27335923*s[61])/21384 + 3*s[65] + 12*s[66] - 18*s[67] + 15*s[68] - 
       51*s[69] + 3*s[70] - 3*s[71] - 6*s[72] + 18*s[73] + (3*s[74])/2 - 
       (3*s[75])/2 - 15*s[76] + (57*s[77])/2 - 18*s[78] + 72*s[79] + 
       s[80]/2 - 420*s[82] - 9*s[83] + 54*s[84] - 162*s[85]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      ((75*s[2])/2 - (699*s[3])/8 + (301*s[4])/16 + (947*s[5])/176 + 
       (615*s[6])/44 - (424031*s[7])/1056 - (79945*s[8])/396 + 
       (40351*s[9])/144 + (126041*s[10])/144 + (184661*s[11])/1056 - 
       (187777*s[12])/528 - (133961*s[13])/352 + (1460135*s[14])/1056 + 
       (179231*s[15])/96 + (294031*s[16])/176 + (2885785*s[17])/1056 - 
       (62413*s[18])/432 + (314473*s[19])/432 + (11490379*s[20])/4752 + 
       (9019679*s[21])/9504 - (1380901*s[22])/9504 + (732915*s[23])/176 - 
       (8634515*s[24])/4752 - (26663761*s[25])/85536 - 
       (25684883*s[26])/85536 + (3*s[27])/2 + 12*s[29] - (9*s[30])/2 + 
       42*s[31] + (213*s[33])/8 - 48*s[34] - (93*s[35])/2 - (21*s[36])/2 + 
       (541*s[37])/4 + 106*s[38] - (7313*s[39])/8 + (7505*s[40])/8 - 
       (1229*s[41])/2 + (5865*s[42])/4 + (19035*s[43])/88 - 
       (88071*s[44])/176 - (8537*s[45])/44 - (149607*s[46])/88 + 
       (406427*s[47])/528 - (657559*s[48])/528 - (726041*s[49])/528 + 
       (84435*s[50])/88 + (153995*s[51])/176 + (431281*s[52])/528 - 
       (55053*s[53])/88 + (10548*s[54])/11 - (700111*s[55])/528 - 
       (372805*s[56])/528 + (5689741*s[57])/396 - (27601595*s[58])/4752 + 
       (25713881*s[59])/4752 + (19492379*s[60])/3168 - 
       (3359329*s[61])/21384 + 3*s[65] + 12*s[66] - 18*s[67] + 6*s[68] - 
       42*s[69] - 9*s[70] + (27*s[71])/2 - 6*s[72] + 18*s[73] - 6*s[74] + 
       6*s[75] - 39*s[76] + (45*s[77])/2 + 12*s[78] + 84*s[79] - 
       (107*s[80])/2 - 330*s[82] - 9*s[83] + 54*s[84] - 162*s[85]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      ((-87*s[2])/4 - (1035*s[3])/8 + (997*s[4])/16 + (43829*s[5])/176 + 
       (15153*s[6])/44 + (3246943*s[7])/1056 - (71371*s[8])/792 - 
       (424207*s[9])/144 - (104921*s[10])/144 - (3525095*s[11])/1056 - 
       (1867109*s[12])/528 - (2320099*s[13])/1056 - (591869*s[14])/1056 - 
       (126465*s[15])/32 - (1251457*s[16])/264 - (1250273*s[17])/352 - 
       (274097*s[18])/432 - (86539*s[19])/432 - (30116509*s[20])/4752 - 
       (25961033*s[21])/9504 + (16739731*s[22])/9504 + (877649*s[23])/264 + 
       (7147291*s[24])/2376 - (347075843*s[25])/85536 + 
       (223679975*s[26])/85536 + 12*s[29] + 9*s[31] + (33*s[32])/4 + 
       (57*s[33])/4 - (15*s[34])/2 + 15*s[35] + (53*s[36])/4 + (69*s[37])/2 + 
       (281*s[38])/2 - (4673*s[39])/8 + (4981*s[40])/8 - (1669*s[41])/4 + 
       824*s[42] + (32071*s[43])/88 - (28405*s[44])/88 + (17085*s[45])/88 - 
       (55991*s[46])/22 + (2401*s[47])/11 - (37365*s[48])/88 - 
       (143105*s[49])/88 + (134839*s[50])/88 + (11597*s[51])/33 + 
       (6511*s[52])/11 - (330655*s[53])/264 + (23357*s[54])/44 - 
       (1813595*s[55])/264 - (431825*s[56])/264 + (5435525*s[57])/792 - 
       (6008753*s[58])/1188 + (1534325*s[59])/297 + (403057*s[60])/22 - 
       (11318059*s[61])/21384 + 3*s[65] + 12*s[66] - 18*s[67] + 6*s[68] - 
       42*s[69] - (27*s[70])/2 - 3*s[71] - 6*s[72] + 18*s[73] + (3*s[74])/2 - 
       (3*s[75])/2 - 15*s[76] + 27*s[77] - 18*s[78] + 144*s[79] - 30*s[80] - 
       330*s[82] - 9*s[83] + 54*s[84] - 162*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      (-17*s[2] - (117*s[3])/4 - (5487*s[4])/4 - (119623*s[5])/132 - 
       (614927*s[6])/264 - (4258943*s[7])/198 + (4221199*s[8])/2376 + 
       (3920999*s[9])/216 + (603713*s[10])/108 + (37432411*s[11])/1584 + 
       (40943891*s[12])/1584 + (1027085*s[13])/66 + (1765985*s[14])/792 + 
       (1032467*s[15])/36 + (1592841*s[16])/44 + (43905173*s[17])/1584 + 
       (1256273*s[18])/324 + (1045699*s[19])/324 + (301810637*s[20])/7128 + 
       (109095257*s[21])/7128 - (20151733*s[22])/1782 - 
       (13620991*s[23])/528 - (333278333*s[24])/14256 + 
       (3878487073*s[25])/128304 - (2117527021*s[26])/128304 - 3*s[30] - 
       8*s[31] + (3*s[32])/2 - (27*s[33])/4 + 13*s[34] + 10*s[35] + 
       (190*s[36])/3 - (95*s[37])/6 - (2485*s[38])/3 + (78529*s[39])/24 - 
       (29299*s[40])/8 + (23527*s[41])/8 - (37469*s[42])/8 - 
       (820627*s[43])/264 + (1648003*s[44])/528 - (946933*s[45])/264 + 
       (905888*s[46])/33 - (1324135*s[47])/1584 - (1226917*s[48])/1584 + 
       (22230667*s[49])/1584 - (706171*s[50])/33 - (4954759*s[51])/1584 - 
       (4005401*s[52])/1584 + (1973113*s[53])/132 + (6833*s[54])/66 + 
       (150185909*s[55])/1584 + (38180465*s[56])/1584 - 
       (23073437*s[57])/1188 + (587641009*s[58])/14256 - 
       (605608141*s[59])/14256 - (2161571659*s[60])/9504 + 
       (95804443*s[61])/8019 + 8*s[68] - 8*s[69] - 6*s[70] + 6*s[71] - 
       12*s[72] + 6*s[73] + (25*s[74])/2 - (25*s[75])/2 + 14*s[76] + 
       14*s[77] - 8*s[78] - 248*s[79] + (52*s[80])/3 - 260*s[82] - 
       144*s[84] - 156*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - v]*((35*s[2])/3 - (1355*s[3])/6 - 
       (14771*s[4])/12 - (12979*s[5])/66 - (38447*s[6])/33 - 
       (30007633*s[7])/2376 + (5459075*s[8])/3564 + (1623287*s[9])/162 + 
       (271592*s[10])/81 + (8261897*s[11])/594 + (37135927*s[12])/2376 + 
       (21593881*s[13])/2376 - (281179*s[14])/2376 + (3723089*s[15])/216 + 
       (26131937*s[16])/1188 + (2206747*s[17])/132 + (891517*s[18])/486 + 
       (662845*s[19])/243 + (255680947*s[20])/10692 + 
       (159312383*s[21])/21384 - (138020935*s[22])/21384 - 
       (41579957*s[23])/2376 - (301933675*s[24])/21384 + 
       (451250971*s[25])/24057 - (878112577*s[26])/96228 + s[28]/2 + 
       12*s[29] - 11*s[30] + (77*s[31])/3 + (61*s[32])/6 - (103*s[33])/12 - 
       (103*s[34])/3 + (23*s[35])/3 + (160*s[36])/9 - (86*s[37])/9 - 
       (1481*s[38])/6 + (4738*s[39])/3 - (16459*s[40])/9 + (17567*s[41])/12 - 
       (87515*s[42])/36 - (116936*s[43])/99 + (1252033*s[44])/792 - 
       (689609*s[45])/396 + (5402941*s[46])/396 - (1601615*s[47])/2376 + 
       (70957*s[48])/2376 + (14790293*s[49])/2376 - (4380413*s[50])/396 - 
       (4190521*s[51])/2376 - (2741965*s[52])/2376 + (9138593*s[53])/1188 + 
       (84943*s[54])/396 + (38329321*s[55])/792 + (9811837*s[56])/792 - 
       (2046961*s[57])/198 + (147780253*s[58])/7128 - 
       (149425279*s[59])/7128 - (1599858845*s[60])/14256 + 
       (50857222*s[61])/8019 - s[64]/2 + (19*s[65])/6 + (50*s[66])/3 - 
       (70*s[67])/3 + (2*s[68])/3 - (121*s[69])/3 + (5*s[70])/3 - 
       (37*s[71])/6 - (64*s[72])/3 + 26*s[73] + (33*s[74])/2 - 17*s[75] - 
       (52*s[76])/3 + (59*s[77])/3 - (82*s[78])/3 - (698*s[79])/3 + 
       (1082*s[80])/9 - 938*s[82] - (7*s[83])/2 - 75*s[84] - 152*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((-7*s[2])/4 + (67*s[3])/3 - (27955*s[4])/24 - (83339*s[5])/132 - 
       (61300*s[6])/33 - (168788809*s[7])/9504 + (21079957*s[8])/14256 + 
       (19498205*s[9])/1296 + (6087787*s[10])/1296 + (187402093*s[11])/9504 + 
       (51930719*s[12])/2376 + (4656169*s[13])/352 + (17501257*s[14])/9504 + 
       (2223887*s[15])/96 + (47310689*s[16])/1584 + (211695173*s[17])/9504 + 
       (734170*s[18])/243 + (11020403*s[19])/3888 + (1496097683*s[20])/
        42768 + (1050267103*s[21])/85536 - (807032783*s[22])/85536 - 
       (3567317*s[23])/176 - (841171741*s[24])/42768 + 
       (9740589275*s[25])/384912 - (5202676451*s[26])/384912 - (37*s[30])/6 + 
       (2*s[31])/3 + (209*s[32])/12 + s[33]/3 - (37*s[34])/6 + 
       (223*s[35])/18 + (961*s[36])/36 - (1703*s[37])/36 - (2683*s[38])/4 + 
       (365539*s[39])/144 - (414215*s[40])/144 + (327383*s[41])/144 - 
       (523855*s[42])/144 - (3443029*s[43])/1584 + (236812*s[44])/99 - 
       (198917*s[45])/88 + (29782193*s[46])/1584 - (2021303*s[47])/2376 - 
       (1921201*s[48])/4752 + (48157339*s[49])/4752 - (1446406*s[50])/99 - 
       (6154261*s[51])/2376 - (9736523*s[52])/4752 + (45927757*s[53])/4752 - 
       (18217*s[54])/792 + (97374445*s[55])/1584 + (77554207*s[56])/4752 - 
       (289213495*s[57])/14256 + (80588780*s[58])/2673 - 
       (644243293*s[59])/21384 - (4444472173*s[60])/28512 + 
       (751686629*s[61])/96228 + s[64] + s[65]/2 - 2*s[66] - s[67] + 
       (2*s[68])/3 + (16*s[69])/3 - 10*s[70] + (9*s[71])/4 - (11*s[72])/3 + 
       29*s[73] + (481*s[74])/36 - (355*s[75])/36 + (86*s[76])/9 + 
       (397*s[77])/18 + s[78]/3 - (1097*s[79])/3 + (1921*s[80])/18 - 
       (1216*s[82])/3 + (21*s[83])/2 - 161*s[84] - (440*s[85])/3) + 
     HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*(-3*s[2] - (323*s[3])/2 - 
       (5443*s[4])/4 - (2727*s[5])/22 - (68131*s[6])/44 - 
       (10386845*s[7])/792 + (1933333*s[8])/1188 + (573601*s[9])/54 + 
       (64906*s[10])/27 + (12023167*s[11])/792 + (1810573*s[12])/99 + 
       (9035093*s[13])/792 - (596153*s[14])/792 + (1060687*s[15])/72 + 
       (2051719*s[16])/99 + (1070781*s[17])/88 + (395153*s[18])/162 + 
       (460715*s[19])/324 + (84565739*s[20])/3564 + (52975141*s[21])/7128 - 
       (48922541*s[22])/7128 - (4409155*s[23])/198 - (23957447*s[24])/1782 + 
       (166537454*s[25])/8019 - (80558888*s[26])/8019 - 14*s[28] + 2*s[29] + 
       12*s[30] + 24*s[31] - 10*s[32] - (31*s[33])/2 - 44*s[34] + 2*s[35] - 
       36*s[36] - 73*s[37] - 608*s[38] + 2360*s[39] - 2898*s[40] + 
       2221*s[41] - 3476*s[42] - 2110*s[43] + (9129*s[44])/4 - 
       (4463*s[45])/2 + (35161*s[46])/2 - (3633*s[47])/4 - (2193*s[48])/4 + 
       (34859*s[49])/4 - 12866*s[50] - (10545*s[51])/4 - (8619*s[52])/4 + 
       8355*s[53] - 1724*s[54] + (657667*s[55])/12 + (67525*s[56])/4 - 
       (152573*s[57])/6 + (1106261*s[58])/36 - (1058219*s[59])/36 - 
       (1138193*s[60])/8 + (2528237*s[61])/324 + 12*s[63] + 4*s[64] - 
       8*s[65] - 24*s[66] + 20*s[67] - 38*s[68] + 48*s[69] - 94*s[70] + 
       8*s[71] + 12*s[72] + 12*s[73] - 3*s[74] + 4*s[75] - 36*s[76] + 
       72*s[77] + 64*s[78] - 472*s[79] + 154*s[80] - 156*s[82] + 36*s[83] - 
       192*s[84] - 144*s[85]) + HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - u]*(-57*s[2] - (167*s[3])/2 - (9511*s[4])/4 - 
       (28933*s[5])/22 - (178231*s[6])/44 - (27650525*s[7])/792 + 
       (3582473*s[8])/1188 + (790438*s[9])/27 + (226967*s[10])/27 + 
       (30884177*s[11])/792 + (4338338*s[12])/99 + (7103425*s[13])/264 + 
       (2405537*s[14])/792 + (1057057*s[15])/24 + (2537111*s[16])/44 + 
       (33009343*s[17])/792 + (1062373*s[18])/162 + (1476817*s[19])/324 + 
       (241011415*s[20])/3564 + (172383203*s[21])/7128 - 
       (131177275*s[22])/7128 - (5848243*s[23])/132 - 
       (132529943*s[24])/3564 + (1614800599*s[25])/32076 - 
       (866883949*s[26])/32076 - s[28] + 8*s[29] - 4*s[30] - 32*s[31] - 
       3*s[32] - 38*s[33] + 32*s[34] + 78*s[35] + (152*s[36])/3 - 
       (277*s[37])/3 - 1336*s[38] + 5294*s[39] - (18050*s[40])/3 + 
       4628*s[41] - (23056*s[42])/3 - (146896*s[43])/33 + (316439*s[44])/66 - 
       (297203*s[45])/66 + (2474185*s[46])/66 - (425011*s[47])/198 - 
       (67687*s[48])/198 + (3901129*s[49])/198 - (919087*s[50])/33 - 
       (1060427*s[51])/198 - (901643*s[52])/198 + (3704903*s[53])/198 - 
       (60004*s[54])/33 + (7851269*s[55])/66 + (2222123*s[56])/66 - 
       (1614148*s[57])/33 + (18648154*s[58])/297 - (36723173*s[59])/594 - 
       (89235625*s[60])/297 + (172789607*s[61])/10692 + 2*s[64] + 2*s[65] - 
       36*s[68] - 2*s[69] - 38*s[70] + 6*s[71] - 8*s[72] + 4*s[73] + 
       18*s[74] - 22*s[75] + 44*s[76] + 26*s[77] - 40*s[78] - 600*s[79] + 
       (490*s[80])/3 + s[81]/3 - 156*s[82] + 36*s[83] - 192*s[84] - 
       144*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*((-55*s[2])/6 - (133*s[3])/12 - (18025*s[4])/24 - 
       (9037*s[5])/22 - (339667*s[6])/264 - (17441593*s[7])/1584 + 
       (273331*s[8])/264 + (55097*s[9])/6 + (32857*s[10])/12 + 
       (6384029*s[11])/528 + (588253*s[12])/44 + (12620321*s[13])/1584 + 
       (579985*s[14])/528 + (229095*s[15])/16 + (1826897*s[16])/99 + 
       (22150441*s[17])/1584 + (113161*s[18])/54 + (304049*s[19])/216 + 
       (51205277*s[20])/2376 + (36401567*s[21])/4752 - (9131489*s[22])/1584 - 
       (2838917*s[23])/198 - (4548229*s[24])/396 + (332298607*s[25])/21384 - 
       (179005603*s[26])/21384 - s[27]/3 + s[28]/3 + 6*s[29] - (16*s[30])/3 - 
       (14*s[31])/3 - 2*s[32] - (41*s[33])/12 + (10*s[34])/3 + (43*s[35])/3 + 
       (125*s[36])/3 - (131*s[37])/6 - (940*s[38])/3 + (3203*s[39])/2 - 
       (3673*s[40])/2 + (2967*s[41])/2 - (7253*s[42])/3 - (29837*s[43])/22 + 
       (135629*s[44])/88 - (235289*s[45])/132 + (1835689*s[46])/132 - 
       (465943*s[47])/792 - (107299*s[48])/792 + (5002309*s[49])/792 - 
       (118695*s[50])/11 - (451421*s[51])/264 - (1028579*s[52])/792 + 
       (748607*s[53])/99 - (26519*s[54])/66 + (4203899*s[55])/88 + 
       (10435339*s[56])/792 - (13782023*s[57])/1188 + 
       (152961671*s[58])/7128 - (152978609*s[59])/7128 - 
       (533662753*s[60])/4752 + (416444375*s[61])/64152 + (8*s[65])/3 + 
       (8*s[66])/3 - (20*s[67])/3 - (20*s[68])/3 - (20*s[69])/3 - 10*s[70] - 
       2*s[71] - (38*s[72])/3 + (14*s[73])/3 + (79*s[74])/6 - (77*s[75])/6 + 
       (26*s[76])/3 + (55*s[77])/3 - 18*s[78] - 204*s[79] + 73*s[80] - 
       456*s[82] - 6*s[83] - 100*s[84] - 144*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 1}, 1 - v]*(66*s[2] - (597*s[3])/2 + 
       (213*s[4])/4 + (13986*s[5])/11 + (61575*s[6])/44 + (1255663*s[7])/88 + 
       (625*s[8])/396 - (116833*s[9])/9 - (95761*s[10])/18 - 
       (4069139*s[11])/264 - (499919*s[12])/33 - (2467073*s[13])/264 - 
       (1230131*s[14])/264 - (507211*s[15])/24 - (1652885*s[16])/66 - 
       (5915021*s[17])/264 - (58055*s[18])/27 - (365107*s[19])/108 - 
       (36863539*s[20])/1188 - (30364253*s[21])/2376 + 
       (18416617*s[22])/2376 + (107663*s[23])/33 + (10877635*s[24])/594 - 
       (190013095*s[25])/10692 + (120516103*s[26])/10692 - 42*s[28] + 
       24*s[29] - 12*s[30] + 60*s[31] + 24*s[32] - (267*s[33])/2 - 78*s[34] + 
       6*s[35] - 62*s[36] + s[37] + 726*s[38] - (2817*s[39])/2 + 
       (2341*s[40])/2 - (1623*s[41])/2 + (2603*s[42])/2 + (31667*s[43])/22 - 
       (12292*s[44])/11 + (10105*s[45])/11 - (171199*s[46])/22 - 
       (1585*s[47])/33 + (48277*s[48])/66 - (236354*s[49])/33 + 
       (71278*s[50])/11 + (32651*s[51])/66 + (48287*s[52])/66 - 
       (130261*s[53])/33 - (31388*s[54])/11 - (570577*s[55])/22 - 
       (34094*s[56])/11 + (88823*s[57])/66 - (108594*s[58])/11 + 
       (783865*s[59])/66 + (14805059*s[60])/198 - (7027069*s[61])/3564 + 
       72*s[63] + 12*s[67] - 48*s[68] - 84*s[69] - 168*s[70] - 12*s[72] + 
       36*s[73] + 9*s[74] - 9*s[75] - 42*s[76] + 198*s[77] - 12*s[78] - 
       144*s[79] + 32*s[80] - 72*s[82] - 72*s[84] - 144*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1}, 1 - u]*(6*s[2] - 249*s[3] - 
       1230*s[4] + (7041*s[5])/11 - (16416*s[6])/11 - (82457*s[7])/22 + 
       (151471*s[8])/99 + (12632*s[9])/9 - (7988*s[10])/9 + 
       (157676*s[11])/33 + (487385*s[12])/66 + (333445*s[13])/66 - 
       (211667*s[14])/66 + (6179*s[15])/6 + (153761*s[16])/33 - 
       (12622*s[17])/33 + (34798*s[18])/27 - (30574*s[19])/27 + 
       (465431*s[20])/297 - (672509*s[21])/594 - (859127*s[22])/594 - 
       (1220903*s[23])/66 - (346157*s[24])/594 + (22670300*s[25])/2673 - 
       (6358673*s[26])/2673 + 6*s[28] + 48*s[29] - 24*s[30] - 72*s[31] - 
       171*s[33] + 48*s[34] + 216*s[35] - 70*s[36] - 2*s[37] + 54*s[38] + 
       (2811*s[39])/2 - (3407*s[40])/2 + (2661*s[41])/2 - (5347*s[42])/2 - 
       (9073*s[43])/22 + (49751*s[44])/44 - (6361*s[45])/22 + 
       (81403*s[46])/11 - (200449*s[47])/132 + (160637*s[48])/132 + 
       (261535*s[49])/132 - (48563*s[50])/11 - (257219*s[51])/132 - 
       (195497*s[52])/132 + (110747*s[53])/33 - (42851*s[54])/11 + 
       (763249*s[55])/44 + (445707*s[56])/44 - (816265*s[57])/33 + 
       (6344443*s[58])/396 - (5345887*s[59])/396 - (30362935*s[60])/792 + 
       (1424186*s[61])/297 + 6*s[64] + 18*s[65] + 24*s[66] - 24*s[67] - 
       36*s[68] - 144*s[69] - 18*s[71] - 48*s[72] + 48*s[73] + 36*s[74] - 
       36*s[75] + 126*s[76] + 24*s[77] - 192*s[78] - 288*s[79] + 170*s[80] + 
       s[81] - 72*s[82] - 72*s[84] - 144*s[85]) + 
     HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - v]*((-51*s[2])/4 + (947*s[3])/8 + 
       (14895*s[4])/16 + (8443*s[5])/44 + (220245*s[6])/176 + 
       (2169517*s[7])/352 - (6671615*s[8])/4752 - (264035*s[9])/54 + 
       (178451*s[10])/216 - (22662671*s[11])/3168 - (7596181*s[12])/792 - 
       (19119209*s[13])/3168 + (3127237*s[14])/3168 - (1541371*s[15])/288 - 
       (6253535*s[16])/792 - (6340889*s[17])/3168 - (899177*s[18])/324 + 
       (3094637*s[19])/1296 - (147908635*s[20])/14256 - 
       (116080757*s[21])/28512 + (89834209*s[22])/28512 + 
       (18900835*s[23])/792 + (7169477*s[24])/3564 - (1280336671*s[25])/
        128304 + (710386687*s[26])/128304 + 28*s[28] + s[29] - 18*s[30] - 
       s[31] + (89*s[32])/2 + (121*s[33])/8 - 16*s[34] + (13*s[35])/2 - 
       (71*s[36])/6 + (791*s[37])/4 + (1123*s[38])/2 - (4649*s[39])/2 + 
       (8125*s[40])/3 - (8065*s[41])/4 + (23149*s[42])/6 + 
       (100663*s[43])/66 - (876587*s[44])/528 + (93969*s[45])/88 - 
       (2961253*s[46])/264 + (2650081*s[47])/1584 - (2347175*s[48])/1584 - 
       (6846019*s[49])/1584 + (435241*s[50])/66 + (4379681*s[51])/1584 + 
       (3921755*s[52])/1584 - (495001*s[53])/99 + (316601*s[54])/66 - 
       (5570957*s[55])/176 - (21658573*s[56])/1584 + (89273483*s[57])/2376 - 
       (377339033*s[58])/14256 + (360175115*s[59])/14256 + 
       (675573511*s[60])/9504 - (656688863*s[61])/128304 - 34*s[63] + 
       12*s[65] + 16*s[66] - 33*s[67] + 78*s[68] - 55*s[69] + 216*s[70] - 
       16*s[71] + 19*s[72] - 19*s[73] + s[74]/4 + (29*s[75])/4 + 52*s[76] - 
       (557*s[77])/2 - 7*s[78] + 384*s[79] - (83*s[80])/2 - 1842*s[82] - 
       24*s[83] + 138*s[84] - 144*s[85]) + HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - u]*
      ((189*s[2])/2 + (433*s[3])/4 + (17597*s[4])/8 + (41399*s[5])/44 + 
       (294609*s[6])/88 + (14182297*s[7])/528 - (6078971*s[8])/2376 - 
       (596942*s[9])/27 - (270245*s[10])/54 - (47853695*s[11])/1584 - 
       (13866781*s[12])/396 - (34829657*s[13])/1584 - (1255643*s[14])/1584 - 
       (4606525*s[15])/144 - (33506695*s[16])/792 - (44937065*s[17])/1584 - 
       (1817635*s[18])/324 - (1449043*s[19])/648 - (352116757*s[20])/7128 - 
       (249733193*s[21])/14256 + (199252225*s[22])/14256 + 
       (33194807*s[23])/792 + (186190073*s[24])/7128 - 
       (2558180569*s[25])/64152 + (1341597163*s[26])/64152 - s[28]/2 - 
       16*s[29] + 6*s[30] + 60*s[31] + (5*s[32])/2 + (247*s[33])/2 - 
       82*s[34] - 123*s[35] - (157*s[36])/3 + (322*s[37])/3 + 1235*s[38] - 
       (18549*s[39])/4 + (61483*s[40])/12 - (15375*s[41])/4 + 
       (82349*s[42])/12 + (434573*s[43])/132 - (959383*s[44])/264 + 
       (195539*s[45])/66 - (1194967*s[46])/44 + (2175341*s[47])/792 - 
       (821257*s[48])/792 - (10517087*s[49])/792 + (605801*s[50])/33 + 
       (3828859*s[51])/792 + (3643573*s[52])/792 - (551333*s[53])/44 + 
       (120575*s[54])/22 - (20785793*s[55])/264 - (20738365*s[56])/792 + 
       (15817304*s[57])/297 - (364392647*s[58])/7128 + 
       (344947805*s[59])/7128 + (950796557*s[60])/4752 - 
       (770744543*s[61])/64152 - 4*s[64] - 4*s[65] + 70*s[68] + s[69] + 
       88*s[70] - 20*s[71] + 8*s[72] + 10*s[73] - 30*s[74] + 30*s[75] - 
       72*s[76] - 129*s[77] + 72*s[78] + 504*s[79] - (184*s[80])/3 - 
       (2*s[81])/3 - 1842*s[82] - 24*s[83] + 138*s[84] - 144*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((-20*s[2])/3 - (1027*s[3])/12 - (475*s[4])/2 - (2208*s[5])/11 - 
       (292351*s[6])/528 - (2807017*s[7])/594 + (3575905*s[8])/14256 + 
       (5117165*s[9])/1296 + (266651*s[10])/162 + (47309923*s[11])/9504 + 
       (48214883*s[12])/9504 + (95065*s[13])/33 + (6340079*s[14])/4752 + 
       (163079*s[15])/24 + (1650637*s[16])/198 + (69181313*s[17])/9504 + 
       (1746497*s[18])/1944 + (1737139*s[19])/1944 + (437710523*s[20])/
        42768 + (157038989*s[21])/42768 - (51853385*s[22])/21384 - 
       (3497161*s[23])/1056 - (480150533*s[24])/85536 + 
       (4665839983*s[25])/769824 - (2709574891*s[26])/769824 - (10*s[29])/3 + 
       (8*s[31])/3 + (11*s[32])/6 - (29*s[33])/6 - 6*s[34] - 2*s[35] - 
       (115*s[36])/6 + (1607*s[37])/36 - (163*s[38])/4 + (315*s[39])/2 - 
       (802*s[40])/3 + (569*s[41])/2 - (1483*s[42])/8 - (30343*s[43])/66 + 
       (70337*s[44])/176 - (794297*s[45])/792 + (4460705*s[46])/792 + 
       (415793*s[47])/1584 - (1302319*s[48])/1584 + (1554767*s[49])/792 - 
       (152740*s[50])/33 - (58675*s[51])/264 - (148043*s[52])/1584 + 
       (7769305*s[53])/2376 + (32447*s[54])/792 + (35029685*s[55])/1584 + 
       (13462847*s[56])/2376 + (31070497*s[57])/7128 + 
       (33602947*s[58])/5346 - (68268317*s[59])/10692 - 
       (40085021*s[60])/792 + (1169842037*s[61])/384912 + s[62]/2 - 
       (2*s[65])/3 - (8*s[66])/3 + (14*s[67])/3 + (35*s[68])/3 - 
       (7*s[69])/3 - (10*s[70])/3 + (25*s[71])/6 + (2*s[72])/3 - 
       (22*s[73])/3 - (17*s[74])/6 + (17*s[75])/6 - 4*s[76] + (20*s[77])/3 + 
       14*s[78] - (176*s[79])/3 + (145*s[80])/9 - (943*s[82])/2 + 2*s[83] - 
       28*s[84] - 140*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*((353*s[2])/36 - 
       (2719*s[3])/24 - (114043*s[4])/144 - (38429*s[5])/132 - 
       (105670*s[6])/99 - (32126473*s[7])/3168 + (3657647*s[8])/3564 + 
       (10736491*s[9])/1296 + (1760821*s[10])/648 + (53127601*s[11])/4752 + 
       (117877261*s[12])/9504 + (69533111*s[13])/9504 + 
       (5715047*s[14])/9504 + (11738633*s[15])/864 + (41456615*s[16])/2376 + 
       (63439945*s[17])/4752 + (3165235*s[18])/1944 + (7462711*s[19])/3888 + 
       (420668075*s[20])/21384 + (561278873*s[21])/85536 - 
       (448821211*s[22])/85536 - (120886567*s[23])/9504 - 
       (960209911*s[24])/85536 + (11297703479*s[25])/769824 - 
       (5784389411*s[26])/769824 + (2*s[28])/3 + (28*s[29])/3 - 
       (23*s[30])/3 + (95*s[31])/9 - (3*s[32])/2 + (385*s[33])/24 - 
       (139*s[34])/9 + (73*s[35])/18 + (1196*s[36])/27 - (505*s[37])/54 - 
       (1303*s[38])/4 + (4753*s[39])/3 - (49292*s[40])/27 + 
       (17311*s[41])/12 - (496469*s[42])/216 - (428233*s[43])/297 + 
       (3948341*s[44])/2376 - (2364509*s[45])/1188 + (1459180*s[46])/99 - 
       (1525481*s[47])/3564 - (1648175*s[48])/3564 + (101559899*s[49])/
        14256 - (6956357*s[50])/594 - (22601881*s[51])/14256 - 
       (7897277*s[52])/7128 + (19437811*s[53])/2376 + (353753*s[54])/792 + 
       (123601031*s[55])/2376 + (188588989*s[56])/14256 - 
       (88661257*s[57])/10692 + (2761394783*s[58])/128304 - 
       (2823669869*s[59])/128304 - (10501401473*s[60])/85536 + 
       (980273365*s[61])/144342 + 3*s[65] + 8*s[66] - 12*s[67] - 
       (23*s[68])/9 - (211*s[69])/9 - (31*s[70])/3 - (9*s[71])/2 - 13*s[72] + 
       9*s[73] + (439*s[74])/36 - (439*s[75])/36 - (14*s[76])/9 + 
       (365*s[77])/18 - (235*s[78])/9 - (1414*s[79])/9 + (4375*s[80])/54 - 
       (4739*s[82])/6 - (27*s[83])/4 - (95*s[84])/2 - (418*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      (-51*s[2] + 53*s[3] - (1681*s[4])/2 - (46053*s[5])/44 - 
       (93175*s[6])/44 - (1946350*s[7])/99 + (1448635*s[8])/1188 + 
       (1841159*s[9])/108 + (612511*s[10])/108 + (8569211*s[11])/396 + 
       (9248353*s[12])/396 + (2787725*s[13])/198 + (753067*s[14])/198 + 
       (936605*s[15])/36 + (6559571*s[16])/198 + (1702031*s[17])/66 + 
       (1185745*s[18])/324 + (482953*s[19])/162 + (36135305*s[20])/891 + 
       (54090893*s[21])/3564 - (18720761*s[22])/1782 - (1778681*s[23])/99 - 
       (39680261*s[24])/1782 + (1717958503*s[25])/64152 - 
       (982324963*s[26])/64152 - 10*s[29] + 4*s[30] - 14*s[31] + 7*s[32] + 
       (31*s[33])/2 + 12*s[34] + 6*s[35] + 12*s[36] - 30*s[37] - 732*s[38] + 
       (4843*s[39])/2 - (5543*s[40])/2 + (4287*s[41])/2 - (6499*s[42])/2 - 
       (54401*s[43])/22 + (106915*s[44])/44 - (64979*s[45])/22 + 
       (233268*s[46])/11 - (5050*s[47])/11 - (27667*s[48])/22 + 
       (122334*s[49])/11 - (358271*s[50])/22 - (148183*s[51])/66 - 
       (83375*s[52])/44 + (240759*s[53])/22 + (2262*s[54])/11 + 
       (2350553*s[55])/33 + (203672*s[56])/11 - (319431*s[57])/22 + 
       (351950*s[58])/11 - (706371*s[59])/22 - (23728057*s[60])/132 + 
       (1830973*s[61])/198 - 8*s[63] + 2*s[64] - 3*s[65] - 8*s[66] + 
       8*s[67] - 10*s[68] + 30*s[69] - 4*s[70] + 5*s[71] + 8*s[72] - 
       8*s[73] + 2*s[75] + 2*s[76] - 28*s[77] + 24*s[78] - 200*s[79] + 
       40*s[80] - 596*s[82] + 15*s[83] - 114*s[84] - 136*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      (-47*s[2] + (157*s[3])/2 - (2891*s[4])/4 - (47535*s[5])/44 - 
       (22172*s[6])/11 - (14904491*s[7])/792 + (697229*s[8])/594 + 
       (1769885*s[9])/108 + (590095*s[10])/108 + (16265245*s[11])/792 + 
       (8707915*s[12])/396 + (10396373*s[13])/792 + (3211279*s[14])/792 + 
       (1817143*s[15])/72 + (12639877*s[16])/396 + (6685895*s[17])/264 + 
       (1202065*s[18])/324 + (835925*s[19])/324 + (140207519*s[20])/3564 + 
       (107297467*s[21])/7128 - (71689085*s[22])/7128 - (7009925*s[23])/396 - 
       (74992699*s[24])/3564 + (1612177933*s[25])/64152 - 
       (948167293*s[26])/64152 - 2*s[28] - 10*s[29] + 8*s[30] - 14*s[31] + 
       s[32] + 17*s[33] + 10*s[36] - (92*s[37])/3 - 654*s[38] + 2294*s[39] - 
       2616*s[40] + 2036*s[41] - 3174*s[42] - (24350*s[43])/11 + 
       (24385*s[44])/11 - (178489*s[45])/66 + (1293067*s[46])/66 - 
       (76775*s[47])/132 - (95255*s[48])/132 + (1312901*s[49])/132 - 
       (332173*s[50])/22 - (294131*s[51])/132 - (61132*s[52])/33 + 
       (1014463*s[53])/99 + (3536*s[54])/33 + (8811245*s[55])/132 + 
       (6903077*s[56])/396 - (4498403*s[57])/297 + (107518099*s[58])/3564 - 
       (108299479*s[59])/3564 - (14470317*s[60])/88 + 
       (276666625*s[61])/32076 - 5*s[65] - 10*s[66] + 12*s[67] - 6*s[68] + 
       36*s[69] - 4*s[70] + 5*s[71] + 8*s[72] - 12*s[73] + 6*s[76] - 
       24*s[77] + 28*s[78] - 216*s[79] + (140*s[80])/3 - 596*s[82] + 
       15*s[83] - 114*s[84] - 136*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - u]*((-13*s[2])/2 - (231*s[3])/2 - 
       (24571*s[4])/8 - (142873*s[5])/88 - (404725*s[6])/88 - 
       (69034151*s[7])/1584 + (4738655*s[8])/1188 + (3937771*s[9])/108 + 
       (583969*s[10])/54 + (38415875*s[11])/792 + (85834211*s[12])/1584 + 
       (51823247*s[13])/1584 + (4592641*s[14])/1584 + (8125069*s[15])/144 + 
       (57748327*s[16])/792 + (590223*s[17])/11 + (4959337*s[18])/648 + 
       (1091243*s[19])/162 + (300299155*s[20])/3564 + 
       (419688805*s[21])/14256 - (326984627*s[22])/14256 - 
       (87418675*s[23])/1584 - (673186379*s[24])/14256 + 
       (8090956369*s[25])/128304 - (4259175751*s[26])/128304 + 18*s[29] - 
       (27*s[30])/2 - 2*s[31] + (11*s[32])/2 + (71*s[33])/8 + (47*s[34])/2 + 
       31*s[35] + (979*s[36])/6 - (685*s[37])/4 - (3375*s[38])/2 + 
       (53679*s[39])/8 - (178033*s[40])/24 + (46327*s[41])/8 - 
       (116197*s[42])/12 - (1489883*s[43])/264 + (3224539*s[44])/528 - 
       (541965*s[45])/88 + (6583045*s[46])/132 - (3838085*s[47])/1584 - 
       (695363*s[48])/1584 + (41285777*s[49])/1584 - (5045809*s[50])/132 - 
       (10642393*s[51])/1584 - (8490853*s[52])/1584 + (5193031*s[53])/198 - 
       (98717*s[54])/132 + (87090175*s[55])/528 + (69282155*s[56])/1584 - 
       (124344151*s[57])/2376 + (1135258573*s[58])/14256 - 
       (1144428385*s[59])/14256 - (3856508369*s[60])/9504 + 
       (683623441*s[61])/32076 + (7*s[65])/2 + 14*s[66] - 25*s[67] - 
       16*s[68] - 34*s[69] - 4*s[70] + (5*s[71])/2 - 32*s[72] + 34*s[73] + 
       (77*s[74])/2 - (77*s[75])/2 + 30*s[76] + 10*s[77] - 52*s[78] - 
       532*s[79] + (197*s[80])/2 - 414*s[82] - (21*s[83])/2 - 243*s[84] - 
       132*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v]*((-85*s[2])/4 - (705*s[3])/8 - 
       (48279*s[4])/16 - (12109*s[5])/8 - (72735*s[6])/16 - 
       (12057323*s[7])/288 + (1697413*s[8])/432 + (7543109*s[9])/216 + 
       (276140*s[10])/27 + (13426381*s[11])/288 + (7521613*s[12])/144 + 
       (9068285*s[13])/288 + (766579*s[14])/288 + (15591791*s[15])/288 + 
       (10079821*s[16])/144 + (4917949*s[17])/96 + (4842121*s[18])/648 + 
       (8027503*s[19])/1296 + (104717633*s[20])/1296 + 
       (73555213*s[21])/2592 - (57061397*s[22])/2592 - (1961339*s[23])/36 - 
       (7296293*s[24])/162 + (88378663*s[25])/1458 - (186747325*s[26])/5832 + 
       18*s[29] - (27*s[30])/2 - 4*s[31] - 2*s[32] - (11*s[33])/2 + 
       (31*s[34])/2 + (37*s[35])/2 + (851*s[36])/6 - (413*s[37])/3 - 
       (3263*s[38])/2 + (26609*s[39])/4 - (88609*s[40])/12 + 
       (23239*s[41])/4 - (232057*s[42])/24 - (738653*s[43])/132 + 
       (401377*s[44])/66 - (384115*s[45])/66 + (6409867*s[46])/132 - 
       (241228*s[47])/99 - (165751*s[48])/396 + (20388353*s[49])/792 - 
       (4899395*s[50])/132 - (5246221*s[51])/792 - (2081111*s[52])/396 + 
       (5044453*s[53])/198 - (113315*s[54])/132 + (1758070*s[55])/11 + 
       (3751375*s[56])/88 - (21098377*s[57])/396 + (185326121*s[58])/2376 - 
       (187232957*s[59])/2376 - (1870329695*s[60])/4752 + 
       (36654275*s[61])/1782 + (7*s[65])/2 + 14*s[66] - 25*s[67] - 13*s[68] - 
       37*s[69] - s[70] - s[71]/2 - 37*s[72] + 45*s[73] + (153*s[74])/4 - 
       (153*s[75])/4 + 32*s[76] + (31*s[77])/2 - 64*s[78] - 572*s[79] + 
       (401*s[80])/3 - 414*s[82] - (21*s[83])/2 - 243*s[84] - 132*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      (s[1] + (25*s[2])/4 - (1167*s[3])/8 + (14361*s[4])/16 + 
       (21673*s[5])/44 + (176711*s[6])/176 + (12229973*s[7])/1056 - 
       (6171701*s[8])/4752 - (1065487*s[9])/108 - (470773*s[10])/216 - 
       (41347085*s[11])/3168 - (5996273*s[12])/396 - (28566719*s[13])/3168 + 
       (1087819*s[14])/3168 - (4109521*s[15])/288 - (7365463*s[16])/396 - 
       (38979179*s[17])/3168 - (190061*s[18])/81 - (1362757*s[19])/1296 - 
       (306970513*s[20])/14256 - (221165027*s[21])/28512 + 
       (177499087*s[22])/28512 + (15415195*s[23])/792 + (9793250*s[24])/891 - 
       (2199356191*s[25])/128304 + (1152856963*s[26])/128304 - 8*s[29] + 
       5*s[30] + 11*s[31] + (3*s[32])/2 + (113*s[33])/8 - 36*s[34] - 
       (29*s[35])/2 - (103*s[36])/2 + (1235*s[37])/12 + (543*s[38])/2 - 
       (2619*s[39])/2 + 1318*s[40] - (3999*s[41])/4 + (4121*s[42])/2 + 
       (1057*s[43])/2 - (13011*s[44])/16 - (583*s[45])/24 - 
       (87671*s[46])/24 + (51961*s[47])/48 - (63359*s[48])/48 - 
       (134467*s[49])/48 + 2524*s[50] + (22259*s[51])/16 + (54515*s[52])/48 - 
       (29443*s[53])/18 + (1193*s[54])/3 - (126563*s[55])/16 - 
       (359815*s[56])/144 + (4001651*s[57])/216 - (12498935*s[58])/1296 + 
       (12390989*s[59])/1296 + (2067085*s[60])/96 - (9565001*s[61])/11664 + 
       6*s[63] + s[64] - 2*s[65] - 12*s[66] + 19*s[67] + 12*s[68] + 
       18*s[69] - 12*s[70] + 5*s[71] + 19*s[72] - 35*s[73] - (69*s[74])/4 + 
       (73*s[75])/4 - 20*s[76] + (21*s[77])/2 + 47*s[78] + 90*s[79] - 
       (37*s[80])/6 - 522*s[82] + (21*s[83])/2 - 9*s[84] - 132*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      (-18*s[2] + (91*s[3])/4 + (4377*s[4])/8 - (1489*s[5])/22 + 
       (4453*s[6])/88 + (1429531*s[7])/528 - (156803*s[8])/264 - 
       (25421*s[9])/12 + (1231*s[10])/6 - (625749*s[11])/176 - 
       (447175*s[12])/88 - (1668083*s[13])/528 + (403481*s[14])/176 - 
       (89897*s[15])/48 - (116540*s[16])/33 - (12853*s[17])/528 - 466*s[18] - 
       (6737*s[19])/24 - (262261*s[20])/88 - (383629*s[21])/1584 + 
       (2279509*s[22])/1584 + (2353631*s[23])/264 + (1510511*s[24])/792 - 
       (40782503*s[25])/7128 + (13521647*s[26])/7128 - 8*s[29] + 9*s[30] + 
       6*s[31] + s[32] - 2*s[33] - 26*s[34] - 15*s[35] - (74*s[36])/3 + 
       (202*s[37])/3 + 307*s[38] - (4525*s[39])/4 + (13943*s[40])/12 - 
       (3439*s[41])/4 + (19735*s[42])/12 + (85945*s[43])/132 - 
       (53147*s[44])/66 + (15094*s[45])/33 - (674855*s[46])/132 + 
       (280865*s[47])/396 - (110813*s[48])/198 - (1273157*s[49])/396 + 
       (239351*s[50])/66 + (120133*s[51])/99 + (409489*s[52])/396 - 
       (451265*s[53])/198 + (11371*s[54])/33 - (870707*s[55])/66 - 
       (500765*s[56])/132 + (5235727*s[57])/396 - (4029739*s[58])/396 + 
       (318203*s[59])/33 + (88190279*s[60])/2376 - (39592163*s[61])/21384 + 
       s[64] - s[65] - 4*s[66] + 8*s[67] + 10*s[68] + 4*s[69] + 4*s[70] + 
       6*s[72] - 10*s[73] - (21*s[74])/2 + (23*s[75])/2 - 13*s[76] - s[77] + 
       24*s[78] - 4*s[79] + (23*s[80])/3 - 522*s[82] + (21*s[83])/2 - 
       9*s[84] - 132*s[85]) + HPL[{0, 1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w]*
      ((-1673*s[2])/144 - (30163*s[3])/288 - (709333*s[4])/576 - 
       (1603775*s[5])/3168 - (10729897*s[6])/6336 - (1880371217*s[7])/
        114048 + (272328679*s[8])/171072 + (13253735*s[9])/972 + 
       (16860511*s[10])/3888 + (2070518335*s[11])/114048 + 
       (572927303*s[12])/28512 + (1371345473*s[13])/114048 + 
       (124425343*s[14])/114048 + (228998575*s[15])/10368 + 
       (800077613*s[16])/28512 + (812662307*s[17])/38016 + 
       (7588147*s[18])/2916 + (139410335*s[19])/46656 + 
       (16399268351*s[20])/513216 + (11085894685*s[21])/1026432 - 
       (8835086669*s[22])/1026432 - (288312485*s[23])/14256 - 
       (4691442989*s[24])/256608 + (109896066539*s[25])/4618944 - 
       (56829328955*s[26])/4618944 - s[27]/4 + s[28]/4 + (47*s[29])/6 - 
       (169*s[30])/24 + (157*s[31])/36 + (367*s[32])/36 - (509*s[33])/36 - 
       (799*s[34])/72 + (767*s[35])/72 + (11839*s[36])/216 - 
       (30943*s[37])/432 - (11875*s[38])/18 + (206497*s[39])/72 - 
       (351227*s[40])/108 + (45371*s[41])/18 - (450475*s[42])/108 - 
       (5798531*s[43])/2376 + (52263967*s[44])/19008 - 
       (29072207*s[45])/9504 + (224004493*s[46])/9504 - 
       (55711265*s[47])/57024 - (15668273*s[48])/57024 + 
       (663460175*s[49])/57024 - (87779425*s[50])/4752 - 
       (165851497*s[51])/57024 - (126455287*s[52])/57024 + 
       (182310781*s[53])/14256 + (56927*s[54])/4752 + 
       (1543396579*s[55])/19008 + (398322779*s[56])/19008 - 
       (546331673*s[57])/28512 + (688080955*s[58])/19008 - 
       (2095790459*s[59])/57024 - (66593263547*s[60])/342144 + 
       (15965116411*s[61])/1539648 + (3*s[64])/8 + (149*s[65])/72 + 
       (61*s[66])/9 - (467*s[67])/36 - (49*s[68])/18 - (719*s[69])/36 - 
       (53*s[70])/36 - (233*s[71])/72 - (491*s[72])/36 + (361*s[73])/12 + 
       (905*s[74])/48 - (803*s[75])/48 + (67*s[76])/9 + (743*s[77])/72 - 
       (821*s[78])/36 - (3130*s[79])/9 + (24815*s[80])/216 - (1437*s[82])/2 - 
       (4*s[83])/3 - (233*s[84])/2 - (380*s[85])/3) + 
     HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v]*((-2735*s[2])/144 + 
       (1277*s[3])/96 - (77881*s[4])/576 - (854581*s[5])/1584 - 
       (5575351*s[6])/6336 - (889457167*s[7])/114048 + 
       (56135869*s[8])/171072 + (1666889*s[9])/243 + (20684795*s[10])/7776 + 
       (928848385*s[11])/114048 + (29187625*s[12])/3564 + 
       (173705329*s[13])/38016 + (335728777*s[14])/114048 + 
       (4338875*s[15])/384 + (129465797*s[16])/9504 + 
       (1367910839*s[17])/114048 + (10175045*s[18])/5832 + 
       (44476073*s[19])/46656 + (9081450941*s[20])/513216 + 
       (7220158543*s[21])/1026432 - (4231065851*s[22])/1026432 - 
       (24207049*s[23])/4752 - (2274291383*s[24])/256608 + 
       (43228302857*s[25])/4618944 - (28323026585*s[26])/4618944 + 
       (7*s[28])/4 - (77*s[29])/12 + (19*s[30])/12 - (77*s[31])/36 - 
       (19*s[32])/72 + (155*s[33])/288 - (281*s[34])/36 - (463*s[35])/72 - 
       (5713*s[36])/216 - (313*s[37])/16 - (6505*s[38])/72 + 
       (58907*s[39])/144 - (212575*s[40])/432 + (1703*s[41])/4 - 
       (121657*s[42])/216 - (2245319*s[43])/4752 + (8608301*s[44])/19008 - 
       (2953523*s[45])/3168 + (56279581*s[46])/9504 - (2092207*s[47])/57024 - 
       (18687643*s[48])/57024 + (117230497*s[49])/57024 - 
       (10801669*s[50])/2376 - (23797439*s[51])/57024 - 
       (20672393*s[52])/57024 + (46429393*s[53])/14256 - (219239*s[54])/594 + 
       (416111281*s[55])/19008 + (349635511*s[56])/57024 - 
       (56661929*s[57])/85536 + (4238247251*s[58])/513216 - 
       (4168954649*s[59])/513216 - (17020410493*s[60])/342144 + 
       (14033476109*s[61])/4618944 - (9*s[63])/2 + s[64]/4 - (73*s[65])/36 - 
       (100*s[66])/9 + (485*s[67])/36 + (74*s[68])/9 + (1025*s[69])/36 + 
       (194*s[70])/9 + (23*s[71])/18 + (271*s[72])/36 - (707*s[73])/36 - 
       (287*s[74])/144 + (629*s[75])/144 + (55*s[76])/6 - (1789*s[77])/72 + 
       (1049*s[78])/36 - (283*s[79])/3 + (2753*s[80])/72 - (1069*s[82])/2 + 
       (55*s[83])/12 - 73*s[84] - (376*s[85])/3) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
      (-37*s[2] - (13*s[3])/4 - 2178*s[4] - (12215*s[5])/8 - (7879*s[6])/2 - 
       (2545343*s[7])/72 + (161111*s[8])/54 + (6446537*s[9])/216 + 
       (1936981*s[10])/216 + (2810863*s[11])/72 + (6198427*s[12])/144 + 
       (3744943*s[13])/144 + (566603*s[14])/144 + (3331643*s[15])/72 + 
       (8521765*s[16])/144 + (267923*s[17])/6 + (4192279*s[18])/648 + 
       (1619251*s[19])/324 + (11267755*s[20])/162 + (32569577*s[21])/1296 - 
       (24151531*s[22])/1296 - (380657*s[23])/9 - (24767321*s[24])/648 + 
       (582695921*s[25])/11664 - (317570519*s[26])/11664 + 3*s[29] - 
       (9*s[30])/2 - 16*s[31] + 5*s[32] - (77*s[33])/8 + (55*s[34])/2 + 
       (49*s[35])/2 + (271*s[36])/3 - (1511*s[37])/12 - (2611*s[38])/2 + 
       (10451*s[39])/2 - (34835*s[40])/6 + 4536*s[41] - (181519*s[42])/24 - 
       (301849*s[43])/66 + (2530157*s[44])/528 - (1323763*s[45])/264 + 
       (10585709*s[46])/264 - (2883337*s[47])/1584 - (837073*s[48])/1584 + 
       (32658985*s[49])/1584 - (4034231*s[50])/132 - (8219543*s[51])/1584 - 
       (6662621*s[52])/1584 + (4192087*s[53])/198 - (62107*s[54])/66 + 
       (70650163*s[55])/528 + (18900005*s[56])/528 - (10418585*s[57])/264 + 
       (301439261*s[58])/4752 - (304576799*s[59])/4752 - 
       (3101960953*s[60])/9504 + (740683447*s[61])/42768 + s[65]/2 + 
       2*s[66] - 4*s[67] - 10*s[68] + 2*s[69] - 4*s[70] + (5*s[71])/2 - 
       22*s[72] + 12*s[73] + 24*s[74] - 24*s[75] + 26*s[76] - 4*s[77] - 
       37*s[78] - 440*s[79] + (547*s[80])/6 - 360*s[82] - (3*s[83])/2 - 
       207*s[84] - 120*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w]*(-11*s[2] - (153*s[3])/4 - 2123*s[4] - 
       (128141*s[5])/88 - (41535*s[6])/11 - (26723743*s[7])/792 + 
       (6826517*s[8])/2376 + (767336*s[9])/27 + (919105*s[10])/108 + 
       (59061803*s[11])/1584 + (65234539*s[12])/1584 + (6571849*s[13])/264 + 
       (2872621*s[14])/792 + (1056023*s[15])/24 + (14894489*s[16])/264 + 
       (67269691*s[17])/1584 + (4006109*s[18])/648 + (3131599*s[19])/648 + 
       (471595273*s[20])/7128 + (84775265*s[21])/3564 - 
       (126531335*s[22])/7128 - (21414037*s[23])/528 - 
       (520311331*s[24])/14256 + (6137199449*s[25])/128304 - 
       (3326142851*s[26])/128304 + 3*s[29] - (9*s[30])/2 - 8*s[31] + s[32] + 
       (107*s[33])/8 + (23*s[34])/2 + 22*s[35] + (259*s[36])/3 - 
       (517*s[37])/4 - (2523*s[38])/2 + (9937*s[39])/2 - (33173*s[40])/6 + 
       4309*s[41] - (172135*s[42])/24 - (285775*s[43])/66 + 
       (300127*s[44])/66 - (428449*s[45])/88 + (10137781*s[46])/264 - 
       (1377719*s[47])/792 - (434579*s[48])/792 + (1930234*s[49])/99 - 
       (3861431*s[50])/132 - (495287*s[51])/99 - (802789*s[52])/198 + 
       (16032689*s[53])/792 - (139243*s[54])/132 + (16903537*s[55])/132 + 
       (6821219*s[56])/198 - (89768531*s[57])/2376 + (216849095*s[58])/3564 - 
       (436261561*s[59])/7128 - (1484376389*s[60])/4752 + 
       (2149873601*s[61])/128304 + s[65]/2 + 2*s[66] - 4*s[67] - 10*s[68] + 
       2*s[69] - 4*s[70] + (5*s[71])/2 - 14*s[72] + 4*s[73] + 22*s[74] - 
       22*s[75] + 18*s[76] - 8*s[77] - 13*s[78] - 408*s[79] + (185*s[80])/2 - 
       360*s[82] - (3*s[83])/2 - 207*s[84] - 120*s[85]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((-17*s[2])/4 - (169*s[3])/8 - (4731*s[4])/16 + (2393*s[5])/88 - 
       (70239*s[6])/176 - (3350273*s[7])/1056 + (1005425*s[8])/4752 + 
       (72799*s[9])/27 + (48991*s[10])/54 + (11328461*s[11])/3168 + 
       (1577051*s[12])/396 + (8031359*s[13])/3168 + (1809617*s[14])/3168 + 
       (1102549*s[15])/288 + (2107363*s[16])/396 + (12279611*s[17])/3168 + 
       (207755*s[18])/324 + (469585*s[19])/1296 + (92643493*s[20])/14256 + 
       (61701491*s[21])/28512 - (49837099*s[22])/28512 - 
       (1321637*s[23])/396 - (24833131*s[24])/7128 + (572837497*s[25])/
        128304 - (301328341*s[26])/128304 + s[27] - 9*s[28] - 2*s[29] - 
       (3*s[30])/2 - 9*s[31] + 14*s[32] - (93*s[33])/2 + (27*s[34])/2 + 
       (17*s[35])/2 - (40*s[36])/3 + (667*s[37])/12 - 26*s[38] + 
       (1747*s[39])/8 - (9961*s[40])/24 + (3743*s[41])/8 - (10115*s[42])/24 - 
       (80879*s[43])/264 + (93641*s[44])/264 - (99787*s[45])/264 + 
       (128603*s[46])/44 - (67987*s[47])/792 - (149609*s[48])/396 + 
       (1011361*s[49])/792 - (156671*s[50])/66 - (101405*s[51])/198 - 
       (93937*s[52])/396 + (355999*s[53])/264 + (5397*s[54])/44 + 
       (1179647*s[55])/132 + (2264465*s[56])/792 - (7741865*s[57])/2376 + 
       (16768013*s[58])/3564 - (14828243*s[59])/3564 - 
       (30140599*s[60])/1188 + (86849635*s[61])/64152 + 24*s[63] + 
       (3*s[64])/2 - s[65] - 2*s[66] + 2*s[67] + 4*s[68] - 10*s[69] - 
       81*s[70] + (13*s[71])/2 - s[72] + 33*s[73] + (11*s[74])/4 - 
       (25*s[75])/4 - 7*s[76] + (253*s[77])/2 - s[78] - 164*s[79] + 
       (187*s[80])/6 - 282*s[82] + 6*s[83] - 66*s[84] - 120*s[85]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((-61*s[2])/4 - (525*s[3])/8 - (2611*s[4])/16 + (7549*s[5])/44 - 
       (21949*s[6])/176 + (324739*s[7])/1056 - (328325*s[8])/4752 - 
       (82259*s[9])/216 - (415*s[10])/216 - (1045571*s[11])/3168 - 
       (262729*s[12])/792 - (129629*s[13])/3168 + (210085*s[14])/3168 - 
       (209707*s[15])/288 - (178195*s[16])/396 - (1473953*s[17])/3168 + 
       (38717*s[18])/648 - (315715*s[19])/1296 - (8509075*s[20])/14256 - 
       (12215429*s[21])/28512 + (4741513*s[22])/28512 + (2789*s[23])/99 + 
       (4065607*s[24])/7128 - (12376933*s[25])/32076 + 
       (11709097*s[26])/32076 - 3*s[28] - 14*s[29] + (3*s[30])/2 - 27*s[31] - 
       5*s[32] - (161*s[33])/4 + (19*s[34])/2 - (51*s[35])/2 - 
       (283*s[36])/6 + (145*s[37])/2 + (199*s[38])/2 - (1051*s[39])/4 + 
       (1727*s[40])/12 + 7*s[41] + (3463*s[42])/12 + (18919*s[43])/132 - 
       (59233*s[44])/528 - (4*s[45])/11 - (61801*s[46])/132 + 
       (150971*s[47])/1584 - (480913*s[48])/1584 - (1117577*s[49])/1584 + 
       (28015*s[50])/132 + (19663*s[51])/1584 + (242005*s[52])/1584 - 
       (277231*s[53])/792 + (9793*s[54])/66 - (795017*s[55])/528 + 
       (353293*s[56])/1584 + (3940513*s[57])/2376 - (14647585*s[58])/14256 + 
       (23381833*s[59])/14256 + (22254791*s[60])/9504 + 
       (1767199*s[61])/16038 - 5*s[62] - s[64]/2 - (5*s[65])/2 - 2*s[66] + 
       6*s[67] + 4*s[68] - 6*s[69] - 35*s[70] + 7*s[71] + 7*s[72] - 
       11*s[73] + s[74]/4 - (7*s[75])/4 + 21*s[76] + (129*s[77])/2 + s[78] - 
       108*s[79] - 6*s[80] + s[81]/3 - 282*s[82] + 6*s[83] - 66*s[84] - 
       120*s[85]) + HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((33*s[2])/4 + (81*s[3])/8 - (3659*s[4])/16 + (29767*s[5])/88 - 
       (9391*s[6])/176 + (1048403*s[7])/3168 + (836545*s[8])/4752 - 
       (96785*s[9])/216 - (30209*s[10])/108 - (453737*s[11])/3168 + 
       (30169*s[12])/99 + (259615*s[13])/1056 - (2009609*s[14])/3168 - 
       (110275*s[15])/96 - (93383*s[16])/132 - (4758187*s[17])/3168 - 
       (138775*s[18])/648 - (113389*s[19])/1296 - (18642025*s[20])/14256 - 
       (27581555*s[21])/28512 + (4111099*s[22])/28512 - (128695*s[23])/132 + 
       (3730213*s[24])/7128 + (10618147*s[25])/64152 + 
       (25140725*s[26])/64152 - (3*s[27])/2 - s[28] + s[29] - s[30] + 
       11*s[31] + (33*s[32])/2 + (219*s[33])/8 - 21*s[34] + (17*s[35])/2 + 
       (7*s[36])/6 + 53*s[37] + 49*s[38] - (73*s[39])/2 - (443*s[40])/3 + 
       (557*s[41])/2 - (889*s[42])/12 - (6887*s[43])/66 + (88081*s[44])/528 - 
       (1361*s[45])/11 + (39901*s[46])/33 + (91897*s[47])/1584 - 
       (669743*s[48])/1584 + (610469*s[49])/1584 - (78113*s[50])/66 - 
       (425875*s[51])/1584 - (16369*s[52])/1584 + (408247*s[53])/792 + 
       (39469*s[54])/132 + (642871*s[55])/176 + (2173535*s[56])/1584 - 
       (2500147*s[57])/2376 + (25416421*s[58])/14256 - 
       (19305205*s[59])/14256 - (113289851*s[60])/9504 + 
       (37243169*s[61])/64152 + 24*s[63] - s[64] - s[65] + 2*s[66] + 
       2*s[67] + 20*s[68] - 17*s[69] - 79*s[70] + (13*s[71])/2 - s[72] + 
       33*s[73] + (11*s[74])/4 - (25*s[75])/4 - 7*s[76] + (221*s[77])/2 - 
       s[78] - 192*s[79] + 38*s[80] - 270*s[82] + 6*s[83] - 66*s[84] - 
       120*s[85]) + HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
      (-27*s[2] - (425*s[3])/4 - (2797*s[4])/8 + (16589*s[5])/88 - 
       (12597*s[6])/44 - (1558775*s[7])/1584 + (347255*s[8])/1188 + 
       (107117*s[9])/216 + (13915*s[10])/216 + (1960663*s[11])/1584 + 
       (1379269*s[12])/792 + (1764791*s[13])/1584 - (1008803*s[14])/1584 + 
       (103063*s[15])/144 + (692471*s[16])/396 + (390853*s[17])/528 + 
       (151675*s[18])/648 + (22181*s[19])/648 + (7232717*s[20])/7128 - 
       (1974143*s[21])/14256 - (5993387*s[22])/14256 - (405019*s[23])/99 - 
       (2306561*s[24])/3564 + (261008167*s[25])/128304 - 
       (69918619*s[26])/128304 - s[27] + (7*s[28])/2 - 18*s[29] - 5*s[30] - 
       (7*s[32])/2 - (9*s[33])/2 - 17*s[34] - 11*s[35] - (227*s[36])/6 + 
       (421*s[37])/12 + 11*s[38] + (1605*s[39])/8 - (7867*s[40])/24 + 
       (2773*s[41])/8 - (10235*s[42])/24 - (26033*s[43])/264 + 
       (138409*s[44])/528 - (54973*s[45])/264 + (94239*s[46])/44 - 
       (273551*s[47])/1584 - (138449*s[48])/1584 + (971309*s[49])/1584 - 
       (118127*s[50])/66 - (727057*s[51])/1584 - (294799*s[52])/1584 + 
       (70385*s[53])/66 - (2565*s[54])/22 + (3499711*s[55])/528 + 
       (3977995*s[56])/1584 - (910276*s[57])/297 + (51083255*s[58])/14256 - 
       (43775615*s[59])/14256 - (161344025*s[60])/9504 + 
       (40650689*s[61])/32076 - 4*s[62] + s[64] + 3*s[65] + 6*s[66] - 
       10*s[67] + 10*s[68] - 17*s[69] - 53*s[70] - 6*s[72] + 8*s[73] + 
       6*s[74] - 6*s[75] - 2*s[76] + 61*s[77] + 28*s[78] - 124*s[79] + 
       (397*s[80])/6 + s[81]/3 - 270*s[82] + 6*s[83] - 66*s[84] - 
       120*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Omega2[u, v, w]*((-28*s[2])/3 - (899*s[3])/12 - (13129*s[4])/24 - 
       (32143*s[5])/66 - (315761*s[6])/264 - (16525475*s[7])/1584 + 
       (67163*s[8])/88 + (105499*s[9])/12 + (36803*s[10])/12 + 
       (1995749*s[11])/176 + (3203147*s[12])/264 + (11375521*s[13])/1584 + 
       (1069621*s[14])/528 + (2054125*s[15])/144 + (14243195*s[16])/792 + 
       (23037527*s[17])/1584 + (207433*s[18])/108 + (367549*s[19])/216 + 
       (51133813*s[20])/2376 + (37353667*s[21])/4752 - (8633965*s[22])/1584 - 
       (4058855*s[23])/396 - (1556485*s[24])/132 + (75731651*s[25])/5346 - 
       (21410374*s[26])/2673 - s[30] + (2*s[31])/3 + (11*s[32])/6 + 
       (7*s[33])/4 - (19*s[34])/3 - 5*s[35] + (104*s[36])/9 - (55*s[37])/18 - 
       (812*s[38])/3 + (2263*s[39])/2 - (23761*s[40])/18 + (3157*s[41])/3 - 
       (14329*s[42])/9 - (231983*s[43])/198 + (244961*s[44])/198 - 
       (645545*s[45])/396 + (1514923*s[46])/132 - (54452*s[47])/297 - 
       (374983*s[48])/594 + (6459125*s[49])/1188 - (889717*s[50])/99 - 
       (1304665*s[51])/1188 - (243565*s[52])/297 + (2484481*s[53])/396 + 
       (1753*s[54])/33 + (16137665*s[55])/396 + (12564091*s[56])/1188 - 
       (8483333*s[57])/1782 + (175917299*s[58])/10692 - 
       (89626381*s[59])/5346 - (345880009*s[60])/3564 + 
       (1022580895*s[61])/192456 + 4*s[68] - 4*s[69] - 4*s[72] - 2*s[73] + 
       (7*s[74])/2 - (7*s[75])/2 + (8*s[76])/3 + (16*s[77])/3 - (4*s[78])/3 - 
       (352*s[79])/3 + (365*s[80])/9 - 626*s[82] - 48*s[84] - 120*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((-83*s[2])/6 - (349*s[3])/4 + (805*s[4])/24 - (23475*s[5])/176 - 
       (74557*s[6])/528 - (176063*s[7])/88 - (233599*s[8])/4752 + 
       (745567*s[9])/432 + (517169*s[10])/432 + (1501673*s[11])/792 + 
       (1138549*s[12])/792 + (509513*s[13])/792 + (515125*s[14])/396 + 
       (546667*s[15])/144 + (3282467*s[16])/792 + (7397581*s[17])/1584 + 
       (271505*s[18])/1296 + (536969*s[19])/648 + (38059919*s[20])/7128 + 
       (27142987*s[21])/14256 - (1799443*s[22])/1782 + (2399653*s[23])/1584 - 
       (44978321*s[24])/14256 + (509888729*s[25])/256608 - 
       (350021693*s[26])/256608 - 2*s[29] + s[30] + (2*s[31])/3 + 5*s[32] - 
       (73*s[33])/8 + (31*s[34])/6 + (13*s[35])/6 - (299*s[36])/18 + 
       (3677*s[37])/72 + (323*s[38])/4 - (2757*s[39])/8 + (24461*s[40])/72 - 
       (423*s[41])/2 + (20807*s[42])/36 + (10255*s[43])/792 - 
       (97991*s[44])/1584 - (731399*s[45])/1584 + (241991*s[46])/176 + 
       (2048899*s[47])/4752 - (3124379*s[48])/4752 + (773183*s[49])/4752 - 
       (150460*s[50])/99 + (1610567*s[51])/4752 + (2059781*s[52])/4752 + 
       (206691*s[53])/176 + (65305*s[54])/88 + (13901821*s[55])/1584 + 
       (5898499*s[56])/4752 + (67701511*s[57])/7128 - (8961487*s[58])/10692 + 
       (13113361*s[59])/42768 - (244216273*s[60])/14256 + 
       (733572775*s[61])/769824 + s[62]/4 + 2*s[67] + (34*s[68])/3 - 
       (28*s[69])/3 + (13*s[71])/4 + 2*s[72] - 2*s[73] - (13*s[74])/6 + 
       (13*s[75])/6 - (8*s[76])/3 + (31*s[77])/3 + (14*s[78])/3 + 
       (104*s[79])/3 - (1063*s[80])/36 - 598*s[82] + 12*s[84] - 112*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((-289*s[2])/18 + (11*s[3])/3 - (43991*s[4])/36 - (47329*s[5])/88 - 
       (2730587*s[6])/1584 - (25441727*s[7])/1584 + (22165523*s[8])/14256 + 
       (17413717*s[9])/1296 + (1179161*s[10])/324 + (170842223*s[11])/9504 + 
       (193424389*s[12])/9504 + (29444825*s[13])/2376 + 
       (1111889*s[14])/2376 + (2928289*s[15])/144 + (15745889*s[16])/594 + 
       (178162859*s[17])/9504 + (11371631*s[18])/3888 + 
       (8212105*s[19])/3888 + (324843193*s[20])/10692 + 
       (28242589*s[21])/2673 - (363349397*s[22])/42768 - 
       (215897287*s[23])/9504 - (1432202815*s[24])/85536 + 
       (18163066937*s[25])/769824 - (9431356541*s[26])/769824 - s[27]/6 + 
       s[28]/3 + (7*s[29])/3 - (16*s[30])/3 - (140*s[31])/9 - s[32]/2 - 
       (47*s[33])/2 + (262*s[34])/9 + (761*s[35])/18 + (7663*s[36])/108 - 
       (2173*s[37])/27 - (3507*s[38])/4 + (175349*s[39])/48 - 
       (1766041*s[40])/432 + (51653*s[41])/16 - (2308649*s[42])/432 - 
       (14447483*s[43])/4752 + (31648381*s[44])/9504 - (7832507*s[45])/2376 + 
       (43042829*s[46])/1584 - (37863035*s[47])/28512 - 
       (5248013*s[48])/28512 + (398610545*s[49])/28512 - 
       (24705827*s[50])/1188 - (103690789*s[51])/28512 - 
       (84661903*s[52])/28512 + (33877889*s[53])/2376 - (291013*s[54])/396 + 
       (852843631*s[55])/9504 + (692442043*s[56])/28512 - 
       (79666628*s[57])/2673 + (11238825005*s[58])/256608 - 
       (11291294987*s[59])/256608 - (37584143867*s[60])/171072 + 
       (27108587813*s[61])/2309472 + (2*s[64])/3 + (5*s[65])/3 + 4*s[66] - 
       (16*s[67])/3 - (70*s[68])/9 - (11*s[69])/9 - (8*s[70])/3 + s[71]/6 - 
       (38*s[72])/3 + (19*s[73])/6 + (185*s[74])/9 - (355*s[75])/18 + 
       (272*s[76])/9 + (23*s[77])/9 - (415*s[78])/18 - (3197*s[79])/9 + 
       (3797*s[80])/54 - (1477*s[82])/6 + 2*s[83] - 194*s[84] - 
       (332*s[85])/3) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u]*(-37*s[2] - (115*s[3])/4 - (4863*s[4])/2 - 
       (35471*s[5])/22 - (379993*s[6])/88 - (7642213*s[7])/198 + 
       (870395*s[8])/264 + (130045*s[9])/4 + (29371*s[10])/3 + 
       (5631719*s[11])/132 + (8297669*s[12])/176 + (45115507*s[13])/1584 + 
       (2172761*s[14])/528 + (3619477*s[15])/72 + (102241867*s[16])/1584 + 
       (4799303*s[17])/99 + (767965*s[18])/108 + (294127*s[19])/54 + 
       (22496516*s[20])/297 + (129422173*s[21])/4752 - 
       (32193283*s[22])/1584 - (36788239*s[23])/792 - (5495483*s[24])/132 + 
       (292368587*s[25])/5346 - (634415825*s[26])/21384 + 6*s[29] - 
       (9*s[30])/2 - 16*s[31] + (13*s[32])/2 - (23*s[33])/8 + (55*s[34])/2 + 
       26*s[35] + (575*s[36])/6 - (466*s[37])/3 - 1400*s[38] + 
       (45577*s[39])/8 - (151919*s[40])/24 + (39611*s[41])/8 - 
       (49531*s[42])/6 - (1299613*s[43])/264 + (688379*s[44])/132 - 
       (177571*s[45])/33 + (3819765*s[46])/88 - (199600*s[47])/99 - 
       (429029*s[48])/792 + (17613683*s[49])/792 - (4363949*s[50])/132 - 
       (2260283*s[51])/396 - (3651037*s[52])/792 + (1501727*s[53])/66 - 
       (49999*s[54])/44 + (12643841*s[55])/88 + (30657973*s[56])/792 - 
       (105470419*s[57])/2376 + (493150511*s[58])/7128 - 
       (247580785*s[59])/3564 - (1673959901*s[60])/4752 + 
       (2406522445*s[61])/128304 + s[65]/2 + 2*s[66] - 7*s[67] - 10*s[68] - 
       4*s[69] - 4*s[70] + s[71] - 22*s[72] + 12*s[73] + 27*s[74] - 
       27*s[75] + 32*s[76] + 5*s[77] - 34*s[78] - 484*s[79] + (322*s[80])/3 - 
       234*s[82] - (3*s[83])/2 - 225*s[84] - 108*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-83*s[2])/4 - (393*s[3])/8 - (37655*s[4])/16 - (137361*s[5])/88 - 
       (729653*s[6])/176 - (117003001*s[7])/3168 + (14955169*s[8])/4752 + 
       (3355727*s[9])/108 + (2024819*s[10])/216 + (129210073*s[11])/3168 + 
       (71332495*s[12])/1584 + (28646591*s[13])/1056 + 
       (13067119*s[14])/3168 + (4641989*s[15])/96 + (1362789*s[16])/22 + 
       (148091843*s[17])/3168 + (4421237*s[18])/648 + (6789521*s[19])/1296 + 
       (1036722293*s[20])/14256 + (746671237*s[21])/28512 - 
       (553916045*s[22])/28512 - (23487401*s[23])/528 - 
       (570338089*s[24])/14256 + (1675214825*s[25])/32076 - 
       (1823886271*s[26])/64152 + 6*s[29] - (9*s[30])/2 - 8*s[31] + 
       15*s[32] + (19*s[33])/4 + (17*s[34])/2 + (17*s[35])/2 + 
       (539*s[36])/6 - (331*s[37])/2 - (2683*s[38])/2 + (21189*s[39])/4 - 
       (70741*s[40])/12 + (18359*s[41])/4 - (184195*s[42])/24 - 
       (600893*s[43])/132 + (2533457*s[44])/528 - (110089*s[45])/22 + 
       (5296523*s[46])/132 - (3035467*s[47])/1584 - (697351*s[48])/1584 + 
       (32345023*s[49])/1584 - (4022615*s[50])/132 - (8458661*s[51])/1584 - 
       (6943517*s[52])/1584 + (16671647*s[53])/792 - (91169*s[54])/66 + 
       (23405353*s[55])/176 + (57288625*s[56])/1584 - (50034709*s[57])/1188 + 
       (917670353*s[58])/14256 - (920810921*s[59])/14256 - 
       (3092109265*s[60])/9504 + (139670048*s[61])/8019 + s[65]/2 + 2*s[66] - 
       7*s[67] - 7*s[68] - s[69] - s[70] + (5*s[71])/2 - 17*s[72] + 
       13*s[73] + (97*s[74])/4 - (97*s[75])/4 + 24*s[76] + (11*s[77])/2 - 
       16*s[78] - 480*s[79] + 113*s[80] - 234*s[82] - (3*s[83])/2 - 
       225*s[84] - 108*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u]*((-45*s[2])/2 - 87*s[3] - (18115*s[4])/8 - 
       (121087*s[5])/88 - (166553*s[6])/44 - (27126725*s[7])/792 + 
       (6964829*s[8])/2376 + (6219661*s[9])/216 + (233842*s[10])/27 + 
       (59997719*s[11])/1584 + (33155717*s[12])/792 + (40191619*s[13])/1584 + 
       (5158061*s[14])/1584 + (3222145*s[15])/72 + (90901741*s[16])/1584 + 
       (22756955*s[17])/528 + (498466*s[18])/81 + (3280363*s[19])/648 + 
       (476739469*s[20])/7128 + (339062399*s[21])/14256 - 
       (256925893*s[22])/14256 - (66044699*s[23])/1584 - 
       (528230917*s[24])/14256 + (3132423163*s[25])/64152 - 
       (1679414743*s[26])/64152 - 2*s[29] - (15*s[30])/2 - 16*s[31] - 
       s[32]/2 - (139*s[33])/8 + (65*s[34])/2 + 25*s[35] + (569*s[36])/6 - 
       (343*s[37])/3 - 1249*s[38] + (40095*s[39])/8 - (133481*s[40])/24 + 
       (34811*s[41])/8 - (173935*s[42])/24 - (1133323*s[43])/264 + 
       (606563*s[44])/132 - (317717*s[45])/66 + (3380175*s[46])/88 - 
       (698689*s[47])/396 - (356921*s[48])/792 + (3858473*s[49])/198 - 
       (3881189*s[50])/132 - (4005457*s[51])/792 - (3186079*s[52])/792 + 
       (667999*s[53])/33 - (38243*s[54])/44 + (5631235*s[55])/44 + 
       (13605221*s[56])/396 - (45868961*s[57])/1188 + 
       (435288539*s[58])/7128 - (218737441*s[59])/3564 - 
       (741915835*s[60])/2376 + (2131403299*s[61])/128304 + s[65]/2 + 
       2*s[66] + s[67] - 2*s[68] + 4*s[69] + 4*s[70] + 4*s[71] - 20*s[72] - 
       2*s[73] + (51*s[74])/2 - (51*s[75])/2 + 38*s[76] - 2*s[77] - 
       32*s[78] - 448*s[79] + (196*s[80])/3 - 324*s[82] - (3*s[83])/2 - 
       213*s[84] - 108*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v]*((-51*s[2])/4 - (483*s[3])/8 - 
       (35357*s[4])/16 - (15064*s[5])/11 - (659559*s[6])/176 - 
       (105652157*s[7])/3168 + (13767107*s[8])/4752 + (3024103*s[9])/108 + 
       (907871*s[10])/108 + (116657813*s[11])/3168 + (32202757*s[12])/792 + 
       (25863601*s[13])/1056 + (10726937*s[14])/3168 + (4212149*s[15])/96 + 
       (9864731*s[16])/176 + (134018359*s[17])/3168 + (3969985*s[18])/648 + 
       (6147421*s[19])/1296 + (932309893*s[20])/14256 + 
       (670722059*s[21])/28512 - (499686703*s[22])/28512 - 
       (21936571*s[23])/528 - (512739533*s[24])/14256 + 
       (1517277973*s[25])/32076 - (411400523*s[26])/16038 - 2*s[29] - 
       (15*s[30])/2 - 10*s[31] - s[32] - (41*s[33])/4 + (23*s[34])/2 + 
       (23*s[35])/2 + (539*s[36])/6 - (227*s[37])/2 - (2437*s[38])/2 + 
       (19907*s[39])/4 - (66655*s[40])/12 + (8741*s[41])/2 - 
       (21767*s[42])/3 - (567827*s[43])/132 + (303181*s[44])/66 - 
       (50606*s[45])/11 + (4967579*s[46])/132 - (685681*s[47])/396 - 
       (46474*s[48])/99 + (3850313*s[49])/198 - (3797687*s[50])/132 - 
       (981511*s[51])/198 - (1573247*s[52])/396 + (1969054*s[53])/99 - 
       (124885*s[54])/132 + (11039811*s[55])/88 + (13361287*s[56])/396 - 
       (91818659*s[57])/2376 + (426734773*s[58])/7128 - 
       (431592847*s[59])/7128 - (726475363*s[60])/2376 + 
       (518471639*s[61])/32076 + s[65]/2 + 2*s[66] + s[67] + s[68] + s[69] + 
       7*s[70] + (5*s[71])/2 - 23*s[72] + 7*s[73] + (99*s[74])/4 - 
       (99*s[75])/4 + 32*s[76] + (5*s[77])/2 - 38*s[78] - 480*s[79] + 
       103*s[80] - 324*s[82] - (3*s[83])/2 - 213*s[84] - 108*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
      (-60*s[2] + 173*s[3] - (3895*s[4])/4 - (192265*s[5])/132 - 
       (369649*s[6])/132 - (14456033*s[7])/594 + (2656781*s[8])/1782 + 
       (1716716*s[9])/81 + (1082273*s[10])/162 + (7856096*s[11])/297 + 
       (66948725*s[12])/2376 + (40413155*s[13])/2376 + 
       (12395257*s[14])/2376 + (880181*s[15])/27 + (96799379*s[16])/2376 + 
       (12829027*s[17])/396 + (4793497*s[18])/972 + (682352*s[19])/243 + 
       (538012397*s[20])/10692 + (417356179*s[21])/21384 - 
       (277814267*s[22])/21384 - (7169462*s[23])/297 - 
       (70573588*s[24])/2673 + (6227040883*s[25])/192456 - 
       (3685684171*s[26])/192456 + s[27]/3 - s[28]/3 - (32*s[29])/3 + 
       (37*s[30])/3 - (136*s[31])/3 - (17*s[32])/3 - (403*s[33])/12 + 
       (179*s[34])/3 + (76*s[35])/3 + (139*s[36])/6 - (427*s[37])/9 - 
       (5203*s[38])/6 + (75169*s[39])/24 - (27855*s[40])/8 + 
       (67111*s[41])/24 - (106589*s[42])/24 - (823487*s[43])/264 + 
       (1544075*s[44])/528 - (1328665*s[45])/396 + (20436305*s[46])/792 - 
       (1246585*s[47])/1584 - (1408351*s[48])/1584 + (21027223*s[49])/1584 - 
       (432959*s[50])/22 - (4705807*s[51])/1584 - (4001837*s[52])/1584 + 
       (8155093*s[53])/594 - (117859*s[54])/198 + (139088647*s[55])/1584 + 
       (110037775*s[56])/4752 - (17361802*s[57])/891 + 
       (1680954305*s[58])/42768 - (1716948383*s[59])/42768 - 
       (676569331*s[60])/3168 + (4256809703*s[61])/384912 - (2*s[64])/3 - 
       (14*s[65])/3 - 14*s[66] + (56*s[67])/3 + 8*s[68] + (116*s[69])/3 - 
       (22*s[70])/3 + 11*s[71] - (113*s[73])/3 + (8*s[74])/3 - (14*s[75])/3 + 
       (98*s[76])/3 + (4*s[77])/3 + (37*s[78])/3 - (700*s[79])/3 - 
       (281*s[80])/9 + 12*s[82] + (25*s[83])/2 - 205*s[84] - 108*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((-143*s[2])/6 - (97*s[3])/4 + (3551*s[4])/24 - (20567*s[5])/33 - 
       (217819*s[6])/264 - (31196821*s[7])/4752 - (370727*s[8])/7128 + 
       (1954393*s[9])/324 + (900011*s[10])/324 + (31623979*s[11])/4752 + 
       (7226561*s[12])/1188 + (4953007*s[13])/1584 + (20086135*s[14])/4752 + 
       (486119*s[15])/48 + (2359111*s[16])/198 + (55536641*s[17])/4752 + 
       (894145*s[18])/486 + (1241825*s[19])/1944 + (364153619*s[20])/21384 + 
       (319270621*s[21])/42768 - (149950985*s[22])/42768 - 
       (196543*s[23])/198 - (83368073*s[24])/10692 + (636566965*s[25])/
        96228 - (531858355*s[26])/96228 - s[28]/2 - 9*s[29] + 7*s[30] + 
       (32*s[31])/3 - (4*s[32])/3 + (7*s[33])/6 - (52*s[34])/3 - 
       (163*s[35])/3 - (148*s[36])/9 - (25*s[37])/3 + (182*s[38])/3 - 
       (1415*s[39])/12 + (205*s[40])/36 + (117*s[41])/4 + (8033*s[42])/36 - 
       (54841*s[43])/396 + (100667*s[44])/792 - (6652*s[45])/11 + 
       (1165003*s[46])/396 + (681317*s[47])/2376 - (1402501*s[48])/2376 + 
       (1382989*s[49])/2376 - (444395*s[50])/198 + (441547*s[51])/2376 + 
       (110719*s[52])/2376 + (454538*s[53])/297 - (10927*s[54])/198 + 
       (9379405*s[55])/792 + (8041315*s[56])/2376 + (2856151*s[57])/891 + 
       (72315233*s[58])/21384 - (65756861*s[59])/21384 - 
       (390577303*s[60])/14256 + (81641909*s[61])/48114 + s[64] - 
       (5*s[65])/3 - (38*s[66])/3 + (58*s[67])/3 + (46*s[68])/3 + 
       (94*s[69])/3 + (82*s[70])/3 - (13*s[71])/3 + (26*s[72])/3 - 
       (64*s[73])/3 - (19*s[74])/3 + (53*s[75])/6 - 4*s[76] - (109*s[77])/3 + 
       (124*s[78])/3 - 120*s[79] + 86*s[80] - s[81]/6 - 656*s[82] + 
       (25*s[83])/2 - 15*s[84] - 108*s[85]) + HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - w]*((-89*s[2])/4 + (229*s[3])/8 + 
       (11397*s[4])/16 + (8039*s[5])/44 + (102915*s[6])/176 + 
       (22714159*s[7])/3168 - (3569161*s[8])/4752 - (158606*s[9])/27 - 
       (337589*s[10])/216 - (26428993*s[11])/3168 - (3847549*s[12])/396 - 
       (6514865*s[13])/1056 + (3525983*s[14])/3168 - (835115*s[15])/96 - 
       (1018373*s[16])/88 - (24005423*s[17])/3168 - (148625*s[18])/162 - 
       (2158697*s[19])/1296 - (171512801*s[20])/14256 - 
       (104703199*s[21])/28512 + (107183603*s[22])/28512 + 
       (341600*s[23])/33 + (57435641*s[24])/7128 - (1482879395*s[25])/
        128304 + (677596583*s[26])/128304 - 7*s[28] - 9*s[29] + 6*s[30] - 
       7*s[31] + (3*s[32])/2 + (19*s[33])/8 - 5*s[34] + (13*s[35])/2 - 
       (129*s[36])/2 + (169*s[37])/4 + (941*s[38])/2 - (6649*s[39])/4 + 
       (6735*s[40])/4 - (2463*s[41])/2 + (9245*s[42])/4 + (51303*s[43])/44 - 
       (235453*s[44])/176 + (61559*s[45])/88 - (740559*s[46])/88 + 
       (336695*s[47])/528 - (200413*s[48])/528 - (3141269*s[49])/528 + 
       (71263*s[50])/11 + (259921*s[51])/176 + (710209*s[52])/528 - 
       (546347*s[53])/132 - (312*s[54])/11 - (4275109*s[55])/176 - 
       (2901827*s[56])/528 + (11127847*s[57])/792 - (68237803*s[58])/4752 + 
       (69584473*s[59])/4752 + (214416101*s[60])/3168 - 
       (116346817*s[61])/42768 + 14*s[63] - 4*s[64] - 9*s[65] - 8*s[66] + 
       21*s[67] - 12*s[68] + 15*s[69] - 67*s[70] + 12*s[71] + 13*s[72] - 
       33*s[73] - (61*s[74])/4 + (23*s[75])/4 + 2*s[76] + (155*s[77])/2 + 
       19*s[78] + 72*s[79] - (181*s[80])/2 - 354*s[82] + 24*s[84] - 
       108*s[85]) + HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((-115*s[2])/4 - (797*s[3])/8 + (6423*s[4])/16 - (3677*s[5])/44 - 
       (15671*s[6])/176 + (7977781*s[7])/3168 - (1823891*s[8])/4752 - 
       (235975*s[9])/108 - (65503*s[10])/216 - (10090763*s[11])/3168 - 
       (411200*s[12])/99 - (8469577*s[13])/3168 + (4753885*s[14])/3168 - 
       (733403*s[15])/288 - (2897377*s[16])/792 - (1104775*s[17])/1056 - 
       (737*s[18])/324 - (1014499*s[19])/1296 - (50036071*s[20])/14256 - 
       (18883661*s[21])/28512 + (41884297*s[22])/28512 + (912977*s[23])/198 + 
       (20984671*s[24])/7128 - (625030033*s[25])/128304 + 
       (234174397*s[26])/128304 + s[28]/2 - 14*s[29] + 14*s[30] - 33*s[31] - 
       8*s[32] + (3*s[33])/8 + s[34] + (147*s[35])/2 - (583*s[36])/6 + 
       (953*s[37])/12 + (615*s[38])/2 - (2125*s[39])/2 + (3476*s[40])/3 - 
       (3455*s[41])/4 + (4489*s[42])/3 + (59309*s[43])/66 - 
       (529495*s[44])/528 + (73729*s[45])/264 - (424777*s[46])/88 + 
       (401597*s[47])/1584 - (87331*s[48])/1584 - (6860903*s[49])/1584 + 
       (259583*s[50])/66 + (1442653*s[51])/1584 + (1362655*s[52])/1584 - 
       (302839*s[53])/132 - (8739*s[54])/22 - (2389173*s[55])/176 - 
       (3518281*s[56])/1584 + (21250193*s[57])/2376 - 
       (117994325*s[58])/14256 + (125893571*s[59])/14256 + 
       (401724839*s[60])/9504 - (95377889*s[61])/128304 - 2*s[64] - 4*s[65] - 
       4*s[66] + 8*s[67] - 10*s[68] + 9*s[69] - 57*s[70] + 9*s[71] + 
       7*s[72] - 33*s[73] - (41*s[74])/4 + (5*s[75])/4 - 21*s[76] + 
       (125*s[77])/2 - 13*s[78] + 172*s[79] - (145*s[80])/6 + s[81]/3 - 
       354*s[82] + 24*s[84] - 108*s[85]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*((-193*s[2])/12 - 
       (1193*s[3])/48 - (177011*s[4])/288 - (34603*s[5])/66 - 
       (1330477*s[6])/1056 - (8971651*s[7])/792 + (7844225*s[8])/9504 + 
       (4150589*s[9])/432 + (347131*s[10])/108 + (26079689*s[11])/2112 + 
       (4680745*s[12])/352 + (5549331*s[13])/704 + (12541267*s[14])/6336 + 
       (367745*s[15])/24 + (40851643*s[16])/2112 + (32495479*s[17])/2112 + 
       (5465639*s[18])/2592 + (1120861*s[19])/648 + (660231601*s[20])/28512 + 
       (482693489*s[21])/57024 - (340121527*s[22])/57024 - 
       (8299353*s[23])/704 - (715439101*s[24])/57024 + 
       (3965602987*s[25])/256608 - (1112248625*s[26])/128304 - (4*s[29])/3 + 
       s[30]/6 - 3*s[31] + (13*s[32])/24 - (341*s[33])/48 + (7*s[34])/6 + 
       (35*s[35])/12 + (191*s[36])/9 - (1603*s[37])/144 - (2601*s[38])/8 + 
       (97517*s[39])/72 - (37163*s[40])/24 + (178009*s[41])/144 - 
       (564859*s[42])/288 - (323065*s[43])/264 + (4237379*s[44])/3168 - 
       (551099*s[45])/352 + (37540045*s[46])/3168 - (1246049*s[47])/3168 - 
       (1177409*s[48])/3168 + (2266691*s[49])/396 - (101448*s[50])/11 - 
       (3290117*s[51])/2376 - (3360437*s[52])/3168 + (1116109*s[53])/176 - 
       (7165*s[54])/1584 + (385918987*s[55])/9504 + (17112707*s[56])/1584 - 
       (20840563*s[57])/2376 + (128304611*s[58])/7128 - 
       (257522875*s[59])/14256 - (1861579457*s[60])/19008 + 
       (1372520543*s[61])/256608 - s[65]/12 + s[66]/6 + s[67]/2 - 
       (7*s[68])/6 + (13*s[69])/6 - (14*s[70])/3 + (5*s[71])/8 - 
       (23*s[72])/6 + (19*s[73])/6 + (71*s[74])/8 - (205*s[75])/24 + 
       (47*s[76])/6 + (5*s[77])/4 - (23*s[78])/6 - (317*s[79])/2 + 
       (3437*s[80])/72 - 353*s[82] - (17*s[83])/4 - (177*s[84])/2 - 
       100*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((-95*s[2])/48 - (8459*s[3])/96 - (97633*s[4])/192 - 
       (220951*s[5])/528 - (2153335*s[6])/2112 - (350700379*s[7])/38016 + 
       (38238041*s[8])/57024 + (20113385*s[9])/2592 + (7155283*s[10])/2592 + 
       (378879899*s[11])/38016 + (25227667*s[12])/2376 + 
       (235237465*s[13])/38016 + (69434687*s[14])/38016 + 
       (44205113*s[15])/3456 + (304115819*s[16])/19008 + 
       (165043067*s[17])/12672 + (13495879*s[18])/7776 + 
       (23507851*s[19])/15552 + (3286941289*s[20])/171072 + 
       (2398462373*s[21])/342144 - (1644051637*s[22])/342144 - 
       (171092719*s[23])/19008 - (1785483485*s[24])/171072 + 
       (4778053033*s[25])/384912 - (5444441459*s[26])/769824 + s[27]/8 + 
       (5*s[29])/6 - (41*s[30])/24 + (29*s[31])/6 + (23*s[32])/8 + 
       (43*s[33])/24 - (59*s[34])/8 - (43*s[35])/8 + (1337*s[36])/72 + 
       (205*s[37])/18 - (2579*s[38])/12 + (43819*s[39])/48 - 
       (152911*s[40])/144 + (3545*s[41])/4 - (189005*s[42])/144 - 
       (1532435*s[43])/1584 + (398771*s[44])/396 - (365279*s[45])/264 + 
       (15322529*s[46])/1584 - (43048*s[47])/297 - (2408167*s[48])/4752 + 
       (21086371*s[49])/4752 - (12028517*s[50])/1584 - (2248483*s[51])/2376 - 
       (3258551*s[52])/4752 + (6346987*s[53])/1188 - (563*s[54])/792 + 
       (109941899*s[55])/3168 + (10683505*s[56])/1188 - 
       (98454935*s[57])/28512 + (1175507845*s[58])/85536 - 
       (1201369705*s[59])/85536 - (1162887317*s[60])/14256 + 
       (1749400595*s[61])/384912 + s[65]/3 + (4*s[66])/3 - (3*s[67])/2 + 
       (9*s[68])/2 - (17*s[69])/2 + s[70] + (15*s[71])/8 - (55*s[72])/12 + 
       (25*s[73])/12 + (181*s[74])/48 - (181*s[75])/48 - s[76]/12 + 
       (53*s[77])/8 - (41*s[78])/12 - (235*s[79])/3 + (71*s[80])/6 - 
       (959*s[82])/2 - s[83] - (69*s[84])/2 - 99*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-253*s[2])/12 - (1097*s[3])/24 - (62207*s[4])/48 - 
       (192649*s[5])/264 - (381563*s[6])/176 - (188775589*s[7])/9504 + 
       (24115759*s[8])/14256 + (10805809*s[9])/648 + (3329249*s[10])/648 + 
       (209890009*s[11])/9504 + (116341345*s[12])/4752 + 
       (5226211*s[13])/352 + (14735659*s[14])/9504 + (7421485*s[15])/288 + 
       (13175087*s[16])/396 + (234789035*s[17])/9504 + (3430657*s[18])/972 + 
       (11919383*s[19])/3888 + (1649054201*s[20])/42768 + 
       (1171838773*s[21])/85536 - (894696425*s[22])/85536 - 
       (12726677*s[23])/528 - (924292603*s[24])/42768 + 
       (10957904297*s[25])/384912 - (5855130737*s[26])/384912 + 4*s[29] - 
       (8*s[30])/3 - (23*s[31])/3 + (5*s[32])/6 - (7*s[33])/24 + 
       (85*s[34])/6 + (197*s[35])/6 + (700*s[36])/9 - (925*s[37])/36 - 
       (4907*s[38])/6 + (25329*s[39])/8 - (251609*s[40])/72 + 
       (22115*s[41])/8 - (323941*s[42])/72 - (2231995*s[43])/792 + 
       (2319601*s[44])/792 - (1193833*s[45])/396 + (6368465*s[46])/264 - 
       (2245679*s[47])/2376 - (308483*s[48])/594 + (30884567*s[49])/2376 - 
       (7401797*s[50])/396 - (1805107*s[51])/594 - (2955191*s[52])/1188 + 
       (5033185*s[53])/396 + (12803*s[54])/33 + (15826589*s[55])/198 + 
       (48344191*s[56])/2376 - (163133629*s[57])/7128 + 
       (805642361*s[58])/21384 - (102396682*s[59])/2673 - 
       (2823159359*s[60])/14256 + (3908693467*s[61])/384912 + s[65] + 
       4*s[66] - 6*s[67] + 4*s[68] - 16*s[69] - (11*s[70])/2 + (7*s[71])/2 - 
       (41*s[72])/3 + (17*s[73])/3 + (205*s[74])/12 - (205*s[75])/12 + 
       (115*s[76])/6 + 13*s[77] - (70*s[78])/3 - (584*s[79])/3 - 
       (37*s[80])/18 + 78*s[82] - 3*s[83] - 125*s[84] - 98*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((5*s[2])/2 - (167*s[3])/4 - (1927*s[4])/8 - (5209*s[5])/22 - 
       (49767*s[6])/88 - (621757*s[7])/132 + (658223*s[8])/2376 + 
       (108815*s[9])/27 + (154339*s[10])/108 + (8083799*s[11])/1584 + 
       (1066301*s[12])/198 + (5048141*s[13])/1584 + (1799135*s[14])/1584 + 
       (58322*s[15])/9 + (12898553*s[16])/1584 + (10637753*s[17])/1584 + 
       (148103*s[18])/162 + (471133*s[19])/648 + (8862665*s[20])/891 + 
       (52230575*s[21])/14256 - (35346325*s[22])/14256 - 
       (6768145*s[23])/1584 - (75664711*s[24])/14256 + 
       (402516475*s[25])/64152 - (115766711*s[26])/32076 - 2*s[29] - s[30] + 
       (2*s[31])/3 - 3*s[32] + 8*s[33] + 6*s[34] - 8*s[35] + (77*s[36])/9 + 
       (35*s[37])/4 - (406*s[38])/3 + (2387*s[39])/4 - (26195*s[40])/36 + 
       (3713*s[41])/6 - (59189*s[42])/72 - (275497*s[43])/396 + 
       (1165663*s[44])/1584 - (250963*s[45])/264 + (5368901*s[46])/792 + 
       (2797*s[47])/4752 - (2585591*s[48])/4752 + (15443639*s[49])/4752 - 
       (2144509*s[50])/396 - (2766697*s[51])/4752 - (1896379*s[52])/4752 + 
       (4428833*s[53])/1188 + (68707*s[54])/396 + (38614537*s[55])/1584 + 
       (29515025*s[56])/4752 - (9322963*s[57])/7128 + 
       (394761397*s[58])/42768 - (402843811*s[59])/42768 - 
       (1670256911*s[60])/28512 + (1193380807*s[61])/384912 - s[65]/6 - 
       (2*s[66])/3 + 3*s[67] + (8*s[68])/3 + (8*s[69])/3 - 2*s[70] - 
       (5*s[71])/6 - 10*s[73] + s[74]/2 - s[75]/3 - (8*s[76])/3 + s[77] + 
       (22*s[78])/3 - 94*s[79] + (79*s[80])/2 - 542*s[82] + (5*s[83])/4 - 
       (75*s[84])/2 - 98*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*((5*s[2])/4 - (2059*s[3])/72 - 
       (164005*s[4])/144 - (304885*s[5])/792 - (94157*s[6])/66 - 
       (44072945*s[7])/3168 + (1173127*s[8])/792 + (183709*s[9])/16 + 
       (116927*s[10])/36 + (8219581*s[11])/528 + (55959889*s[12])/3168 + 
       (33844975*s[13])/3168 + (30599*s[14])/3168 + (1713365*s[15])/96 + 
       (18422461*s[16])/792 + (13192931*s[17])/792 + (319673*s[18])/144 + 
       (55093*s[19])/24 + (6860639*s[20])/264 + (81555797*s[21])/9504 - 
       (23158139*s[22])/3168 - (61734397*s[23])/3168 - 
       (141456011*s[24])/9504 + (591595985*s[25])/28512 - 
       (295061471*s[26])/28512 - s[27]/3 + 8*s[29] - (28*s[30])/3 - 2*s[31] + 
       (7*s[32])/9 + (19*s[33])/24 + (19*s[34])/3 + (115*s[35])/6 + 
       (2477*s[36])/36 - (1739*s[37])/36 - (4358*s[38])/9 + 
       (320581*s[39])/144 - (119939*s[40])/48 + (94037*s[41])/48 - 
       (52977*s[42])/16 - (259825*s[43])/144 + (600713*s[44])/288 - 
       (11411*s[45])/6 + (782897*s[46])/48 - (81059*s[47])/96 - 
       (7267*s[48])/288 + (2498411*s[49])/288 - (461801*s[50])/36 - 
       (657499*s[51])/288 - (486253*s[52])/288 + (475943*s[53])/54 + 
       (3793*s[54])/36 + (47189449*s[55])/864 + (12133231*s[56])/864 - 
       (10886689*s[57])/648 + (199570193*s[58])/7776 - 
       (203178311*s[59])/7776 - (229182653*s[60])/1728 + 
       (484140989*s[61])/69984 + (10*s[65])/3 + (28*s[66])/3 - (44*s[67])/3 - 
       (76*s[68])/9 - (197*s[69])/9 - (25*s[70])/3 - (14*s[71])/3 - 
       (49*s[72])/3 + (119*s[73])/6 + (71*s[74])/4 - (205*s[75])/12 + 
       10*s[76] + (253*s[77])/18 - (173*s[78])/6 - 229*s[79] + 
       (695*s[80])/9 - (2779*s[82])/6 - (31*s[83])/4 - (179*s[84])/2 - 
       (290*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - u]*(-5*s[2] - (147*s[3])/2 - (627*s[4])/8 - 
       (6467*s[5])/44 - (28465*s[6])/88 - (1481035*s[7])/528 + 
       (16163*s[8])/132 + (56039*s[9])/24 + (27367*s[10])/24 + 
       (31979*s[11])/11 + (247741*s[12])/88 + (417595*s[13])/264 + 
       (49171*s[14])/44 + (209881*s[15])/48 + (2759615*s[16])/528 + 
       (1307615*s[17])/264 + (30611*s[18])/72 + (52669*s[19])/72 + 
       (633269*s[20])/99 + (151583*s[21])/66 - (1126585*s[22])/792 - 
       (428377*s[23])/528 - (5846957*s[24])/1584 + (1021498*s[25])/297 - 
       (4910321*s[26])/2376 + 4*s[31] + 3*s[32] + 3*s[33] - 8*s[34] - 
       8*s[35] - (11*s[36])/3 + (157*s[37])/6 - 4*s[38] + (65*s[39])/8 - 
       (1379*s[40])/24 + (545*s[41])/8 + (827*s[42])/24 - (61333*s[43])/264 + 
       (56005*s[44])/264 - (148697*s[45])/264 + (129455*s[46])/44 + 
       (178621*s[47])/792 - (224239*s[48])/396 + (459427*s[49])/396 - 
       (169063*s[50])/66 - (12913*s[51])/792 + (43543*s[52])/396 + 
       (483383*s[53])/264 + (4292*s[54])/11 + (1104783*s[55])/88 + 
       (1081955*s[56])/396 + (1410637*s[57])/297 + (4581293*s[58])/1782 - 
       (10325863*s[59])/3564 - (134754107*s[60])/4752 + 
       (99446273*s[61])/64152 + 8*s[68] - 8*s[69] - s[74] + s[75] - 4*s[76] + 
       8*s[77] + 4*s[78] - 8*s[79] + (28*s[80])/3 - 495*s[82] - 96*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((-183*s[2])/4 + (207*s[3])/8 - (43221*s[4])/16 - (280243*s[5])/176 - 
       (380465*s[6])/88 - (42182647*s[7])/1056 + (2810557*s[8])/792 + 
       (4839589*s[9])/144 + (1380185*s[10])/144 + (46882577*s[11])/1056 + 
       (26149601*s[12])/528 + (31888381*s[13])/1056 + (2921723*s[14])/1056 + 
       (1649249*s[15])/32 + (34920491*s[16])/528 + (17030579*s[17])/352 + 
       (3063827*s[18])/432 + (2474491*s[19])/432 + (364913611*s[20])/4752 + 
       (257800799*s[21])/9504 - (200234197*s[22])/9504 - 
       (26842897*s[23])/528 - (203669891*s[24])/4752 + 
       (4934010641*s[25])/85536 - (2610171041*s[26])/85536 - (15*s[30])/2 - 
       36*s[31] - (9*s[32])/2 - (237*s[33])/8 + (105*s[34])/2 + 
       (111*s[35])/2 + (233*s[36])/2 - (317*s[37])/2 - (3481*s[38])/2 + 
       6537*s[39] - 7192*s[40] + (22341*s[41])/4 - (37281*s[42])/4 - 
       (125349*s[43])/22 + (517789*s[44])/88 - (66074*s[45])/11 + 
       (1065459*s[46])/22 - (293917*s[47])/132 - (87469*s[48])/132 + 
       (3382975*s[49])/132 - (405321*s[50])/11 - (71125*s[51])/11 - 
       (1380469*s[52])/264 + (3361993*s[53])/132 - (43941*s[54])/44 + 
       (10586347*s[55])/66 + (5592907*s[56])/132 - (38716451*s[57])/792 + 
       (91222403*s[58])/1188 - (46199239*s[59])/594 - (312387673*s[60])/792 + 
       (437147299*s[61])/21384 - (27*s[68])/2 + (27*s[69])/2 - 9*s[70] + 
       6*s[71] - 24*s[72] + (57*s[74])/2 - (57*s[75])/2 + 51*s[76] - 
       24*s[78] - 468*s[79] + 46*s[80] + 195*s[82] - 252*s[84] - 96*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((-9*s[2])/2 - 27*s[3] + 526*s[4] - (199*s[5])/33 + (43433*s[6])/132 + 
       (8449279*s[7])/2376 - (1883245*s[8])/3564 - (915437*s[9])/324 - 
       (36619*s[10])/324 - (2686927*s[11])/594 - (14141399*s[12])/2376 - 
       (3148615*s[13])/792 + (4100057*s[14])/2376 - (232753*s[15])/72 - 
       (499447*s[16])/99 - (1663855*s[17])/1188 - (450199*s[18])/972 - 
       (241633*s[19])/486 - (12603863*s[20])/2673 - (25451809*s[21])/21384 + 
       (40707155*s[22])/21384 + (6705839*s[23])/792 + 
       (72768947*s[24])/21384 - (163373090*s[25])/24057 + 
       (66373907*s[26])/24057 + s[28]/2 - (8*s[29])/3 + 6*s[30] + 
       (17*s[31])/3 + (16*s[32])/3 + s[33]/12 - (47*s[34])/3 - (29*s[35])/3 - 
       (673*s[36])/18 + (199*s[37])/6 + (1111*s[38])/3 - (24997*s[39])/24 + 
       (74443*s[40])/72 - (6067*s[41])/8 + (99383*s[42])/72 + 
       (688913*s[43])/792 - (1287577*s[44])/1584 + (43127*s[45])/132 - 
       (3481265*s[46])/792 + (1735139*s[47])/4752 + (180773*s[48])/4752 - 
       (17779913*s[49])/4752 + (1162837*s[50])/396 + (4082701*s[51])/4752 + 
       (3949279*s[52])/4752 - (2213879*s[53])/1188 + (24779*s[54])/396 - 
       (5685925*s[55])/528 - (13467755*s[56])/4752 + (37897433*s[57])/3564 - 
       (360399181*s[58])/42768 + (368953987*s[59])/42768 + 
       (968741471*s[60])/28512 - (445105057*s[61])/384912 + s[64]/2 + 
       s[65]/6 - (4*s[66])/3 + (4*s[67])/3 + (10*s[68])/3 + (7*s[69])/3 - 
       (8*s[70])/3 - (19*s[71])/6 + (16*s[72])/3 + (13*s[73])/3 - 4*s[74] + 
       5*s[75] - (52*s[76])/3 + (10*s[77])/3 + (25*s[78])/3 - 66*s[79] + 
       (212*s[80])/3 - 704*s[82] + (11*s[83])/2 - 5*s[84] - 96*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((-977*s[2])/36 + (171*s[3])/16 - (271751*s[4])/288 - (76816*s[5])/99 - 
       (5917187*s[6])/3168 - (239336651*s[7])/14256 + (56394073*s[8])/42768 + 
       (110849167*s[9])/7776 + (35137961*s[10])/7776 + 
       (524441749*s[11])/28512 + (284923327*s[12])/14256 + 
       (113874049*s[13])/9504 + (69632161*s[14])/28512 + (268345*s[15])/12 + 
       (269838545*s[16])/9504 + (629977193*s[17])/28512 + 
       (72931883*s[18])/23328 + (56026675*s[19])/23328 + 
       (2159932825*s[20])/64152 + (197627767*s[21])/16038 - 
       (2275842641*s[22])/256608 - (179439065*s[23])/9504 - 
       (146215474*s[24])/8019 + (53617667689*s[25])/2309472 - 
       (930408824*s[26])/72171 - s[29]/2 + s[30]/4 - (113*s[31])/9 + 
       (299*s[32])/72 - (50*s[33])/9 + (727*s[34])/36 + (445*s[35])/36 + 
       (1468*s[36])/27 - (5975*s[37])/144 - (39427*s[38])/72 + 
       (166393*s[39])/72 - (560987*s[40])/216 + (98821*s[41])/48 - 
       (2920159*s[42])/864 - (4723369*s[43])/2376 + (41407781*s[44])/19008 - 
       (779407*s[45])/352 + (170810275*s[46])/9504 - (44832859*s[47])/57024 - 
       (14518531*s[48])/57024 + (524803987*s[49])/57024 - 
       (16551647*s[50])/1188 - (134089349*s[51])/57024 - 
       (104236013*s[52])/57024 + (273469853*s[53])/28512 - 
       (262597*s[54])/1188 + (1148384203*s[55])/19008 + 
       (912472849*s[56])/57024 - (726945385*s[57])/42768 + 
       (14442772349*s[58])/513216 - (14601667061*s[59])/513216 - 
       (50262765847*s[60])/342144 + (9029076899*s[61])/1154736 + 
       (65*s[65])/36 + (85*s[66])/18 - (155*s[67])/18 - (34*s[68])/9 - 
       (112*s[69])/9 - (113*s[70])/18 - (73*s[71])/72 - (241*s[72])/18 + 
       (275*s[73])/18 + (1013*s[74])/72 - (989*s[75])/72 + 8*s[76] + 
       (403*s[77])/36 - (154*s[78])/9 - (477*s[79])/2 + (1691*s[80])/24 - 
       278*s[82] - (14*s[83])/3 - 106*s[84] - (280*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      (-22*s[2] - (229*s[3])/6 + (3895*s[4])/12 - (2843*s[5])/66 + 
       (18575*s[6])/132 + (527465*s[7])/396 - (455261*s[8])/1782 - 
       (364577*s[9])/324 + (109157*s[10])/324 - (2240771*s[11])/1188 - 
       (1654229*s[12])/594 - (2325221*s[13])/1188 + (1409065*s[14])/1188 - 
       (65821*s[15])/108 - (415058*s[16])/297 + (210715*s[17])/297 - 
       (55171*s[18])/243 + (14344*s[19])/243 - (6057025*s[20])/5346 - 
       (2204909*s[21])/10692 + (8122255*s[22])/10692 + (2915675*s[23])/594 + 
       (2009467*s[24])/2673 - (291025613*s[25])/96228 + 
       (113663225*s[26])/96228 + s[28]/3 - (16*s[29])/3 + 8*s[30] - 
       (4*s[31])/3 + (10*s[32])/3 - (7*s[33])/2 - (26*s[34])/3 + 
       (38*s[35])/3 - (106*s[36])/3 + (115*s[37])/9 + 222*s[38] - 
       (1389*s[39])/2 + (4391*s[40])/6 - (3457*s[41])/6 + (5735*s[42])/6 + 
       (35411*s[43])/66 - (140947*s[44])/264 - (7423*s[45])/198 - 
       (191479*s[46])/99 + (198173*s[47])/792 - (153871*s[48])/792 - 
       (1851929*s[49])/792 + (13725*s[50])/11 + (451835*s[51])/792 + 
       (487807*s[52])/792 - (404377*s[53])/594 + (27911*s[54])/99 - 
       (2642501*s[55])/792 - (1338857*s[56])/2376 + (26191861*s[57])/3564 - 
       (90403381*s[58])/21384 + (96552631*s[59])/21384 + 
       (22860953*s[60])/1584 + (14268773*s[61])/192456 - (2*s[64])/3 - 
       (2*s[65])/3 + 2*s[67] - 4*s[68] + 8*s[69] - (26*s[70])/3 - s[71]/3 + 
       4*s[72] - 10*s[73] - (16*s[74])/3 + 3*s[75] - 12*s[76] - (8*s[77])/3 + 
       6*s[78] + 38*s[79] + (134*s[80])/9 - 608*s[82] + (3*s[83])/2 + 
       19*s[84] - 92*s[85]) + HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 1}, 1 - v]*
      (-12*s[2] - (645*s[3])/8 + (1055*s[4])/16 + (43551*s[5])/176 + 
       (25419*s[6])/44 + (2410853*s[7])/1056 + (32143*s[8])/792 - 
       (336659*s[9])/144 - (3775*s[10])/144 - (2767933*s[11])/1056 - 
       (1576699*s[12])/528 - (2206673*s[13])/1056 - (907675*s[14])/1056 - 
       (167005*s[15])/96 - (673967*s[16])/264 - (400535*s[17])/352 - 
       (473311*s[18])/432 + (373885*s[19])/432 - (21942197*s[20])/4752 - 
       (23193163*s[21])/9504 + (12446501*s[22])/9504 + (1144417*s[23])/264 + 
       (1117045*s[24])/1188 - (245102875*s[25])/85536 + 
       (193233967*s[26])/85536 + 12*s[29] + (9*s[30])/2 + 12*s[31] + 
       3*s[32] + (141*s[33])/8 - (21*s[34])/2 + (27*s[35])/2 + 7*s[36] + 
       s[37] + 309*s[38] - (3425*s[39])/4 + (3889*s[40])/4 - (1519*s[41])/2 + 
       (9429*s[42])/8 + (24119*s[43])/44 - (75133*s[44])/176 + 
       (15841*s[45])/88 - (239593*s[46])/88 + (322669*s[47])/528 - 
       (339179*s[48])/528 - (742375*s[49])/528 + (63869*s[50])/44 + 
       (541345*s[51])/528 + (596297*s[52])/528 - (19997*s[53])/33 + 
       (70765*s[54])/44 - (1879903*s[55])/528 - (360341*s[56])/176 + 
       (1272283*s[57])/88 - (12390677*s[58])/1584 + (10399421*s[59])/1584 + 
       (51579553*s[60])/3168 - (2301733*s[61])/3564 + 3*s[65] + 12*s[66] - 
       18*s[67] - 36*s[69] - 18*s[70] - (21*s[71])/2 - 18*s[72] + 18*s[73] + 
       9*s[74] - (15*s[75])/2 - 27*s[76] + (51*s[77])/2 - 18*s[78] + 
       192*s[79] + (13*s[80])/2 - 1152*s[82] - 27*s[83] + 54*s[84] - 
       90*s[85]) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      (-27*s[2] - (525*s[3])/8 - (6271*s[4])/16 + (19227*s[5])/176 - 
       (12285*s[6])/88 - (3078985*s[7])/1056 + (409271*s[8])/792 + 
       (276377*s[9])/144 + (161023*s[10])/144 + (3541699*s[11])/1056 + 
       (2019871*s[12])/528 + (793257*s[13])/352 - (692555*s[14])/1056 + 
       (134999*s[15])/32 + (1041281*s[16])/176 + (4999499*s[17])/1056 - 
       (146369*s[18])/432 + (745133*s[19])/432 + (23073095*s[20])/4752 + 
       (5389177*s[21])/9504 - (13640171*s[22])/9504 - (353723*s[23])/176 - 
       (21887383*s[24])/4752 + (438655429*s[25])/85536 - 
       (132827977*s[26])/85536 + 12*s[29] + 6*s[30] - 3*s[31] + (3*s[32])/4 - 
       (3*s[33])/2 + (9*s[34])/2 - 9*s[35] + (117*s[36])/2 + (21*s[37])/2 + 
       (331*s[38])/2 - (627*s[39])/4 + (681*s[40])/4 - (881*s[41])/4 + 
       (827*s[42])/8 + (6379*s[43])/44 + (20285*s[44])/88 - (2109*s[45])/88 + 
       (64597*s[46])/88 + (6179*s[47])/33 - (62173*s[48])/132 + 
       (40949*s[49])/66 - (9345*s[50])/11 + (7981*s[51])/44 + 
       (132437*s[52])/264 + (208243*s[53])/264 + (38451*s[54])/44 + 
       (43720*s[55])/11 + (82215*s[56])/88 + (472277*s[57])/88 - 
       (788417*s[58])/792 + (411239*s[59])/792 - (2990507*s[60])/396 + 
       (5409935*s[61])/7128 + 3*s[64] + (27*s[65])/2 + 24*s[66] - 36*s[67] - 
       18*s[68] - 66*s[69] - (33*s[70])/2 - 21*s[71] - 36*s[72] + 36*s[73] + 
       21*s[74] - (27*s[75])/2 - 15*s[76] + 33*s[77] - 42*s[78] + 132*s[79] + 
       72*s[80] - 1152*s[82] - 27*s[83] + 54*s[84] - 90*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((-131*s[2])/6 - (1451*s[3])/24 - (19093*s[4])/16 - (47895*s[5])/44 - 
       (1327663*s[6])/528 - (36465103*s[7])/1584 + (415253*s[8])/264 + 
       (312839*s[9])/16 + (326753*s[10])/48 + (13242925*s[11])/528 + 
       (7077227*s[12])/264 + (25431053*s[13])/1584 + (188363*s[14])/44 + 
       (4536277*s[15])/144 + (62595365*s[16])/1584 + (12612439*s[17])/396 + 
       (1716119*s[18])/432 + (1737343*s[19])/432 + (224688853*s[20])/4752 + 
       (82005125*s[21])/4752 - (19193717*s[22])/1584 - (2117920*s[23])/99 - 
       (41938957*s[24])/1584 + (1340131205*s[25])/42768 - 
       (752589731*s[26])/42768 - (10*s[29])/3 + (11*s[30])/2 + s[31] - 
       (11*s[32])/6 + (5*s[33])/4 - (41*s[34])/3 + (17*s[35])/3 + 
       (31*s[36])/3 - (337*s[37])/18 - (4013*s[38])/6 + (61235*s[39])/24 - 
       (23417*s[40])/8 + (13859*s[41])/6 - (43249*s[42])/12 - 
       (616441*s[43])/264 + (439399*s[44])/176 - (2217073*s[45])/792 + 
       (8443733*s[46])/396 - (131779*s[47])/176 - (333319*s[48])/528 + 
       (478777*s[49])/44 - (1098103*s[50])/66 - (2051053*s[51])/792 - 
       (355579*s[52])/176 + (26856899*s[53])/2376 + (173521*s[54])/792 + 
       (115034327*s[55])/1584 + (44282875*s[56])/2376 - 
       (58258925*s[57])/3564 + (694812803*s[58])/21384 - 
       (700808585*s[59])/21384 - (424016431*s[60])/2376 + 
       (3550680259*s[61])/384912 - s[65] - 4*s[66] + (16*s[67])/3 - s[68]/3 + 
       11*s[69] - (34*s[70])/3 + s[71] + (8*s[72])/3 + (10*s[73])/3 + 
       (21*s[74])/2 - (53*s[75])/6 - (22*s[76])/3 + (20*s[77])/3 + 
       (32*s[78])/3 - (980*s[79])/3 + (1007*s[80])/9 - 445*s[82] + 
       (23*s[83])/2 - 83*s[84] - 88*s[85]) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*((-683*s[2])/72 - 
       (399*s[3])/16 + (169475*s[4])/288 + (73315*s[5])/288 + 
       (95129*s[6])/144 + (36160597*s[7])/5184 - (1349539*s[8])/1944 - 
       (45421471*s[9])/7776 - (10900709*s[10])/7776 - (41254717*s[11])/5184 - 
       (23829583*s[12])/2592 - (9974423*s[13])/1728 + (1758377*s[14])/5184 - 
       (14776753*s[15])/1728 - (540731*s[16])/48 - (39146909*s[17])/5184 - 
       (24954215*s[18])/23328 - (26988571*s[19])/23328 - 
       (290982053*s[20])/23328 - (195081655*s[21])/46656 + 
       (172722101*s[22])/46656 + (4425703*s[23])/432 + 
       (43104259*s[24])/5832 - (4502362015*s[25])/419904 + 
       (2211176287*s[26])/419904 - s[28]/8 + (11*s[29])/12 + (2*s[30])/3 - 
       (37*s[31])/36 + (125*s[32])/36 - (119*s[33])/18 - (139*s[34])/36 - 
       (64*s[35])/9 - (1523*s[36])/54 + (7559*s[37])/144 + (16103*s[38])/36 - 
       (109951*s[39])/72 + (357353*s[40])/216 - (14957*s[41])/12 + 
       (466171*s[42])/216 + (2870737*s[43])/2376 - (12324193*s[44])/9504 + 
       (372483*s[45])/352 - (87989791*s[46])/9504 + (18378683*s[47])/28512 - 
       (2798077*s[48])/28512 - (158505557*s[49])/28512 + 
       (33449189*s[50])/4752 + (42961363*s[51])/28512 + 
       (35087113*s[52])/28512 - (134618411*s[53])/28512 - 
       (29035*s[54])/2376 - (277726457*s[55])/9504 - (208855301*s[56])/
        28512 + (69753803*s[57])/5346 - (1992796115*s[58])/128304 + 
       (4053455371*s[59])/256608 + (6397968127*s[60])/85536 - 
       (16248714419*s[61])/4618944 + (3*s[62])/8 + s[64]/8 + (17*s[65])/72 - 
       (14*s[66])/9 + (19*s[67])/9 + (49*s[68])/36 + (139*s[69])/36 + 
       (397*s[70])/36 - (139*s[71])/36 + (37*s[72])/18 - (10*s[73])/9 - 
       (295*s[74])/36 + (313*s[75])/36 - (7*s[76])/3 - (367*s[77])/36 + 
       (22*s[78])/9 + 108*s[79] - (155*s[80])/24 - s[81]/24 - 452*s[82] + 
       (5*s[83])/12 + 13*s[84] - (257*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[u, w, v]*((-32*s[2])/3 - 
       (640*s[3])/9 + (208*s[4])/9 - (22576*s[5])/99 - (3440*s[6])/11 - 
       (747884*s[7])/297 - (11632*s[8])/297 + (58504*s[9])/27 + 
       (31160*s[10])/27 + (85760*s[11])/33 + (77140*s[12])/33 + 
       (415840*s[13])/297 + (177932*s[14])/99 + (111884*s[15])/27 + 
       (1421980*s[16])/297 + (1488056*s[17])/297 + (2440*s[18])/9 + 
       (21680*s[19])/27 + (644812*s[20])/99 + (2271032*s[21])/891 - 
       (1147964*s[22])/891 + (354028*s[23])/297 - (3317132*s[24])/891 + 
       (22523228*s[25])/8019 - (16237376*s[26])/8019 + (32*s[32])/9 + 
       (64*s[37])/3 - (304*s[38])/9 - (1312*s[39])/9 + (928*s[40])/9 - 
       64*s[41] + (4064*s[42])/9 - (17984*s[43])/99 + (18452*s[44])/99 - 
       (80384*s[45])/99 + (36656*s[46])/11 + (131308*s[47])/297 - 
       (230108*s[48])/297 + (336476*s[49])/297 - (87376*s[50])/33 + 
       (110972*s[51])/297 + (76028*s[52])/297 + (606880*s[53])/297 + 
       (21136*s[54])/99 + (4845956*s[55])/297 + (378724*s[56])/99 + 
       (2764576*s[57])/297 + (2016692*s[58])/891 - (2649308*s[59])/891 - 
       (30642862*s[60])/891 + (4856252*s[61])/2673 + (64*s[68])/9 - 
       (64*s[69])/9 + (64*s[77])/9 - (1984*s[82])/3 - (256*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[w, u, v]*((-32*s[2])/3 - 
       (640*s[3])/9 + (976*s[4])/9 - (3424*s[5])/99 - (468*s[6])/11 - 
       (114632*s[7])/297 - (49996*s[8])/297 + (9172*s[9])/27 + 
       (14072*s[10])/27 + (5446*s[11])/11 + (12502*s[12])/33 + 
       (78856*s[13])/297 + (79208*s[14])/99 + (17960*s[15])/27 + 
       (305956*s[16])/297 + (377282*s[17])/297 - (2428*s[18])/27 + 
       (4156*s[19])/9 + (480352*s[20])/297 + (487664*s[21])/891 - 
       (191348*s[22])/891 + (650554*s[23])/297 - (1071698*s[24])/891 + 
       (3048074*s[25])/8019 - (2530394*s[26])/8019 + (32*s[32])/9 + 
       (64*s[37])/3 - (256*s[38])/9 - (1768*s[39])/9 + (1384*s[40])/9 - 
       (520*s[41])/3 + (4352*s[42])/9 - (6440*s[43])/99 + (9512*s[44])/99 - 
       (29192*s[45])/99 + (6800*s[46])/11 + (124240*s[47])/297 - 
       (254600*s[48])/297 + (200336*s[49])/297 - (21248*s[50])/33 + 
       (105800*s[51])/297 + (91232*s[52])/297 + (72088*s[53])/297 + 
       (83344*s[54])/99 + (993968*s[55])/297 + (43216*s[56])/99 + 
       (1622968*s[57])/297 - (564280*s[58])/891 + (420760*s[59])/891 - 
       (10252972*s[60])/891 + (771020*s[61])/2673 + (64*s[68])/9 - 
       (64*s[69])/9 + (64*s[77])/9 - (1696*s[82])/3 - (256*s[85])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((-13*s[2])/4 - (281*s[3])/6 - (1133*s[4])/16 - (30385*s[5])/132 - 
       (30101*s[6])/66 - (16037825*s[7])/4752 + (1181833*s[8])/7128 + 
       (934825*s[9])/324 + (1552115*s[10])/1296 + (4235059*s[11])/1188 + 
       (1064384*s[12])/297 + (19456255*s[13])/9504 + (1507765*s[14])/1188 + 
       (528823*s[15])/108 + (57680605*s[16])/9504 + (2140439*s[17])/396 + 
       (177977*s[18])/243 + (126607*s[19])/243 + (651911849*s[20])/85536 + 
       (260882573*s[21])/85536 - (18674309*s[22])/10692 - 
       (9663211*s[23])/4752 - (171123131*s[24])/42768 + 
       (1596361711*s[25])/384912 - (2085666659*s[26])/769824 + (2*s[30])/3 + 
       (8*s[31])/3 + (13*s[32])/12 + (7*s[33])/2 - 15*s[34] - 9*s[35] + 
       (26*s[36])/3 + (607*s[37])/18 - (1327*s[38])/24 + (8863*s[39])/48 - 
       (11551*s[40])/48 + (10177*s[41])/48 - (3129*s[42])/16 - 
       (216281*s[43])/528 + (60311*s[44])/176 - (1300243*s[45])/1584 + 
       (1798285*s[46])/396 + (48149*s[47])/264 - (158761*s[48])/264 + 
       (60799*s[49])/33 - (315267*s[50])/88 - (47339*s[51])/528 - 
       (2333*s[52])/33 + (1563607*s[53])/594 + (250769*s[54])/792 + 
       (28147949*s[55])/1584 + (21282295*s[56])/4752 + 
       (18278281*s[57])/7128 + (232264535*s[58])/42768 - 
       (122191837*s[59])/21384 - (191256337*s[60])/4752 + 
       (1845540439*s[61])/769824 + (5*s[68])/2 - (5*s[69])/2 - (4*s[70])/3 + 
       (5*s[71])/3 + (2*s[72])/3 - 8*s[73] - 2*s[74] + (13*s[75])/6 - 
       (13*s[76])/3 + (5*s[77])/6 + 6*s[78] + (142*s[79])/3 - (152*s[80])/9 - 
       462*s[82] + s[83] - 10*s[84] - 84*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((29*s[2])/2 - (1031*s[3])/4 - (3061*s[4])/8 - (7323*s[5])/44 - 
       (60777*s[6])/88 - (6704389*s[7])/1584 + (578827*s[8])/2376 + 
       (89536*s[9])/27 + (26501*s[10])/27 + (7887919*s[11])/1584 + 
       (1135009*s[12])/198 + (1954943*s[13])/528 + (527371*s[14])/1584 + 
       (239993*s[15])/48 + (307937*s[16])/44 + (7614185*s[17])/1584 + 
       (73532*s[18])/81 + (478607*s[19])/648 + (56959247*s[20])/7128 + 
       (41808577*s[21])/14256 - (29630273*s[22])/14256 - (708799*s[23])/132 - 
       (4366742*s[24])/891 + (417958151*s[25])/64152 - 
       (225652991*s[26])/64152 - 4*s[29] + 3*s[30] + 8*s[31] - 12*s[32] + 
       7*s[33] - 17*s[34] - 7*s[35] - (46*s[36])/3 - (157*s[37])/6 - 
       451*s[38] + (5189*s[39])/4 - (17987*s[40])/12 + (4357*s[41])/4 - 
       (19837*s[42])/12 - (185653*s[43])/132 + (171097*s[44])/132 - 
       (58856*s[45])/33 + (520217*s[46])/44 - (82517*s[47])/396 - 
       (172153*s[48])/198 + (2384345*s[49])/396 - (576263*s[50])/66 - 
       (237227*s[51])/198 - (220835*s[52])/198 + (767417*s[53])/132 - 
       (3154*s[54])/11 + (2558815*s[55])/66 + (4225681*s[56])/396 - 
       (10205785*s[57])/1188 + (64986917*s[58])/3564 - (15867755*s[59])/891 - 
       (237812633*s[60])/2376 + (344436025*s[61])/64152 - 4*s[63] + s[64] - 
       3*s[65] - 12*s[66] + 16*s[67] - 2*s[68] + 36*s[69] + 3*s[70] + 
       4*s[71] + 14*s[72] - 12*s[73] - (13*s[74])/2 + (15*s[75])/2 + 
       9*s[76] - 26*s[77] + 36*s[78] - 60*s[79] + (44*s[80])/3 - 316*s[82] + 
       9*s[83] - 54*s[84] - 80*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*((-15*s[2])/2 + (117*s[3])/2 - (1161*s[4])/2 - 
       (18451*s[5])/44 - (48989*s[6])/44 - (8012771*s[7])/792 + 
       (834239*s[8])/1188 + (471659*s[9])/54 + (288629*s[10])/108 + 
       (8955305*s[11])/792 + (4953725*s[12])/396 + (2045783*s[13])/264 + 
       (1093757*s[14])/792 + (310703*s[15])/24 + (553286*s[16])/33 + 
       (9768175*s[17])/792 + (145205*s[18])/81 + (466669*s[19])/324 + 
       (71869711*s[20])/3564 + (52903061*s[21])/7128 - 
       (38955043*s[22])/7128 - (363791*s[23])/33 - (10025678*s[24])/891 + 
       (114561655*s[25])/8019 - (127014161*s[26])/16038 - 4*s[29] + 3*s[30] - 
       2*s[31] - s[32] - (33*s[33])/4 + 3*s[34] - 8*s[35] + (49*s[36])/3 - 
       82*s[37] - 428*s[38] + (6347*s[39])/4 - (22081*s[40])/12 + 
       (5645*s[41])/4 - (27239*s[42])/12 - (16825*s[43])/12 + 
       (35933*s[44])/24 - (2177*s[45])/2 + (123073*s[46])/12 - 
       (36763*s[47])/72 - (18073*s[48])/72 + (447409*s[49])/72 - 
       (23470*s[50])/3 - (110249*s[51])/72 - (94835*s[52])/72 + 
       (176255*s[53])/36 - (1069*s[54])/6 + (749347*s[55])/24 + 
       (608767*s[56])/72 - (412016*s[57])/27 + (11337593*s[58])/648 - 
       (11227199*s[59])/648 - (36958579*s[60])/432 + (22118783*s[61])/5832 - 
       2*s[63] + s[64] + s[67] - 2*s[68] + 4*s[69] + 3*s[70] - s[71] - 
       s[74] + 2*s[75] + 2*s[76] - 5*s[77] - 312*s[79] + 109*s[80] - 
       316*s[82] + 9*s[83] - 54*s[84] - 80*s[85]) + 
     HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - w]*((353*s[2])/48 - 
       (2089*s[3])/96 - (472831*s[4])/192 - (381767*s[5])/352 - 
       (2387289*s[6])/704 - (136190587*s[7])/4224 + (182086073*s[8])/57024 + 
       (34741585*s[9])/1296 + (4902385*s[10])/648 + (1368199673*s[11])/
        38016 + (385162621*s[12])/9504 + (941905511*s[13])/38016 + 
       (31295057*s[14])/38016 + (143293357*s[15])/3456 + 
       (254402107*s[16])/4752 + (1472684063*s[17])/38016 + 
       (2547523*s[18])/486 + (81394201*s[19])/15552 + 
       (10339865257*s[20])/171072 + (7039188731*s[21])/342144 - 
       (5794527451*s[22])/342144 - (407121871*s[23])/9504 - 
       (1487765663*s[24])/42768 + (73262135941*s[25])/1539648 - 
       (37376705869*s[26])/1539648 + s[28]/4 + (91*s[29])/6 - 
       (245*s[30])/24 - (101*s[31])/12 + (95*s[32])/12 + (215*s[33])/24 + 
       (173*s[34])/8 + (605*s[35])/24 + (9439*s[36])/72 - (22577*s[37])/144 - 
       (16769*s[38])/12 + (88239*s[39])/16 - (875261*s[40])/144 + 
       (75363*s[41])/16 - (1152805*s[42])/144 - (7354405*s[43])/1584 + 
       (31549513*s[44])/6336 - (15210109*s[45])/3168 + 
       (42046075*s[46])/1056 - (37933655*s[47])/19008 - 
       (3442979*s[48])/19008 + (405692345*s[49])/19008 - 
       (48782311*s[50])/1584 - (104913835*s[51])/19008 - 
       (82969861*s[52])/19008 + (33590965*s[53])/1584 - (87591*s[54])/176 + 
       (93266557*s[55])/704 + (650946919*s[56])/19008 - 
       (1170620777*s[57])/28512 + (10784807507*s[58])/171072 - 
       (10981763237*s[59])/171072 - (37039789925*s[60])/114048 + 
       (25551490337*s[61])/1539648 + (3*s[64])/8 + (25*s[65])/8 + 11*s[66] - 
       (257*s[67])/12 - (67*s[68])/6 - (341*s[69])/12 - (47*s[70])/12 + 
       (11*s[71])/24 - (281*s[72])/12 + (529*s[73])/12 + (1537*s[74])/48 - 
       (1435*s[75])/48 + (74*s[76])/3 + (55*s[77])/8 - (403*s[78])/12 - 
       457*s[79] + (6457*s[80])/72 - (297*s[82])/2 - (9*s[83])/2 - 
       (499*s[84])/2 - 76*s[85]) + HPL[{0, 1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u]*
      ((-1163*s[2])/36 + (6725*s[3])/72 - (153653*s[4])/72 - 
       (2883097*s[5])/1584 - (3269591*s[6])/792 - (1075338137*s[7])/28512 + 
       (128523481*s[8])/42768 + (124893251*s[9])/3888 + (9427723*s[10])/972 + 
       (73955887*s[11])/1782 + (1294977305*s[12])/28512 + 
       (780069275*s[13])/28512 + (138736861*s[14])/28512 + 
       (129003385*s[15])/2592 + (899466331*s[16])/14256 + 
       (28576597*s[17])/594 + (81868075*s[18])/11664 + 
       (30603085*s[19])/5832 + (4809626317*s[20])/64152 + 
       (7059238531*s[21])/256608 - (5116638671*s[22])/256608 - 
       (1234241917*s[23])/28512 - (10502223329*s[24])/256608 + 
       (15195400691*s[25])/288684 - (33642881939*s[26])/1154736 - s[28]/8 + 
       (7*s[29])/6 + (5*s[30])/12 - (355*s[31])/18 - (271*s[32])/72 + 
       (11*s[33])/18 + (1405*s[34])/36 + (1309*s[35])/36 + (4831*s[36])/54 - 
       (31079*s[37])/216 - (26725*s[38])/18 + (407935*s[39])/72 - 
       (1346923*s[40])/216 + (352547*s[41])/72 - (3503023*s[42])/432 - 
       (12031367*s[43])/2376 + (12313673*s[44])/2376 - 
       (26224573*s[45])/4752 + (208109057*s[46])/4752 - 
       (13171231*s[47])/7128 - (1193257*s[48])/1782 + 
       (323696393*s[49])/14256 - (19877273*s[50])/594 - 
       (79324411*s[51])/14256 - (16114711*s[52])/3564 + 
       (332179807*s[53])/14256 - (506171*s[54])/594 + 
       (350035139*s[55])/2376 + (183482581*s[56])/4752 - 
       (93897535*s[57])/2376 + (1457754623*s[58])/21384 - 
       (2968269133*s[59])/42768 - (7654696499*s[60])/21384 + 
       (14405035027*s[61])/769824 + (7*s[62])/4 - s[64]/4 - (35*s[65])/36 - 
       (35*s[66])/9 + (25*s[67])/9 - (103*s[68])/18 + (559*s[69])/36 - 
       (32*s[70])/9 + (56*s[71])/9 - (331*s[72])/18 + 2*s[73] + 
       (581*s[74])/24 - (575*s[75])/24 + (485*s[76])/18 - (29*s[77])/9 - 
       (373*s[78])/18 - (3700*s[79])/9 + (6367*s[80])/108 - s[81]/12 + 
       (71*s[82])/2 + (17*s[83])/12 - 206*s[84] - (224*s[85])/3) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((449*s[2])/12 + (85*s[3])/8 - (156377*s[4])/48 - (42566*s[5])/33 - 
       (2210519*s[6])/528 - (392016827*s[7])/9504 + (60291269*s[8])/14256 + 
       (11084545*s[9])/324 + (6219367*s[10])/648 + (438208637*s[11])/9504 + 
       (123915967*s[12])/2376 + (11193393*s[13])/352 + (3566945*s[14])/9504 + 
       (15240839*s[15])/288 + (6782425*s[16])/99 + (466209331*s[17])/9504 + 
       (6435761*s[18])/972 + (26335813*s[19])/3888 + (3289433461*s[20])/
        42768 + (2213579039*s[21])/85536 - (1855376779*s[22])/85536 - 
       (7367567*s[23])/132 - (949898887*s[24])/21384 + 
       (23571248017*s[25])/384912 - (11905410109*s[26])/384912 + s[28] + 
       23*s[29] - 16*s[30] - (16*s[31])/3 + (7*s[32])/6 + (391*s[33])/24 + 
       (98*s[34])/3 + (259*s[35])/6 + (3379*s[36])/18 - (2207*s[37])/12 - 
       (5329*s[38])/3 + (42569*s[39])/6 - (70076*s[40])/9 + (12183*s[41])/2 - 
       (93037*s[42])/9 - (1179719*s[43])/198 + (10151611*s[44])/1584 - 
       (1618679*s[45])/264 + (40531247*s[46])/792 - (12331313*s[47])/4752 - 
       (846257*s[48])/4752 + (130660655*s[49])/4752 - (15692443*s[50])/396 - 
       (33732169*s[51])/4752 - (26459875*s[52])/4752 + 
       (32492783*s[53])/1188 - (121757*s[54])/396 + (270110411*s[55])/1584 + 
       (208925081*s[56])/4752 - (377922547*s[57])/7128 + 
       (3464127529*s[58])/42768 - (3536641771*s[59])/42768 - 
       (11875042583*s[60])/28512 + (8212927993*s[61])/384912 + 2*s[63] - 
       s[64]/2 + (29*s[65])/6 + (70*s[66])/3 - (107*s[67])/3 - (38*s[68])/3 - 
       (161*s[69])/3 - (17*s[70])/3 + (19*s[71])/6 - (115*s[72])/3 + 
       (203*s[73])/3 + (533*s[74])/12 - (545*s[75])/12 + 36*s[76] + 
       (97*s[77])/6 - (215*s[78])/3 - 536*s[79] + (455*s[80])/6 - 38*s[82] - 
       (17*s[83])/2 - 285*s[84] - 72*s[85]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1, 1}, 1 - w]*(-219*s[2] + (981*s[3])/2 - 
       (465*s[4])/4 - (106353*s[5])/44 - (84195*s[6])/22 - 
       (7501985*s[7])/264 + (94057*s[8])/99 + (948137*s[9])/36 + 
       (296041*s[10])/36 + (7953145*s[11])/264 + (1004383*s[12])/33 + 
       (4793207*s[13])/264 + (3041305*s[14])/264 + (921037*s[15])/24 + 
       (6275815*s[16])/132 + (3551671*s[17])/88 + (793027*s[18])/108 + 
       (62939*s[19])/108 + (75736853*s[20])/1188 + (65899261*s[21])/2376 - 
       (37155731*s[22])/2376 - (1525813*s[23])/66 - (16989959*s[24])/594 + 
       (719718685*s[25])/21384 - (502304893*s[26])/21384 - 9*s[28] - 
       54*s[29] + 24*s[30] - 144*s[31] + 12*s[32] - 45*s[33] + 210*s[34] + 
       72*s[35] - 21*s[36] - (275*s[37])/2 - 420*s[38] + (11229*s[39])/4 - 
       (13737*s[40])/4 + (11421*s[41])/4 - (19065*s[42])/4 - 
       (83235*s[43])/44 + (214113*s[44])/88 - (94405*s[45])/44 + 
       (211174*s[46])/11 - (169065*s[47])/88 + (95925*s[48])/88 + 
       (680379*s[49])/88 - (147333*s[50])/11 - (333027*s[51])/88 - 
       (257937*s[52])/88 + (307136*s[53])/33 - (46940*s[54])/11 + 
       (5045043*s[55])/88 + (5387783*s[56])/264 - (3954460*s[57])/99 + 
       (87940783*s[58])/2376 - (81689203*s[59])/2376 - (74146999*s[60])/528 + 
       (94558301*s[61])/10692 + 48*s[63] - 12*s[65] - 24*s[66] + 36*s[67] - 
       60*s[68] - 150*s[70] + 12*s[71] - 24*s[72] + 36*s[73] + 24*s[74] - 
       21*s[75] + 24*s[76] + 126*s[77] - 72*s[78] - 504*s[79] + 13*s[80] + 
       396*s[82] + 18*s[83] - 216*s[84] - 72*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1}, 1 - w]*
      ((-147*s[2])/2 + (651*s[3])/4 + (12675*s[4])/8 - (1041*s[5])/44 + 
       (23607*s[6])/88 + (6474323*s[7])/528 - (164091*s[8])/88 - 
       (38881*s[9])/4 - (5985*s[10])/2 - (2498819*s[11])/176 - 
       (732459*s[12])/44 - (5163967*s[13])/528 + (691817*s[14])/176 - 
       (834737*s[15])/48 - (2856061*s[16])/132 - (7830947*s[17])/528 - 
       (17101*s[18])/36 - (313315*s[19])/72 - (16536607*s[20])/792 - 
       (8444797*s[21])/1584 + (1137469*s[22])/176 + (1318579*s[23])/66 + 
       (1911545*s[24])/132 - (73641955*s[25])/3564 + (30889057*s[26])/3564 - 
       3*s[28] - 102*s[29] + 24*s[30] - 102*s[31] - 15*s[32] + 
       (279*s[33])/4 - 78*s[34] + 201*s[35] - 470*s[36] + 81*s[37] + 
       891*s[38] - (13527*s[39])/4 + (13551*s[40])/4 - (10041*s[41])/4 + 
       (18483*s[42])/4 + (117969*s[43])/44 - (34014*s[44])/11 + 
       (53019*s[45])/22 - (945237*s[46])/44 + (9300*s[47])/11 - 
       (13257*s[48])/44 - (164718*s[49])/11 + (201462*s[50])/11 + 
       (106263*s[51])/44 + (78405*s[52])/44 - (283843*s[53])/22 - 
       (48138*s[54])/11 - (3415367*s[55])/44 - (144542*s[56])/11 + 
       (1922365*s[57])/132 - (6150583*s[58])/198 + (14374955*s[59])/396 + 
       (8153583*s[60])/44 - (48776611*s[61])/7128 - 6*s[64] - 24*s[65] - 
       48*s[66] + 72*s[67] - 24*s[68] + 144*s[69] - 150*s[70] + 24*s[71] + 
       54*s[72] - 90*s[73] - (81*s[74])/2 + (51*s[75])/2 + 87*s[77] + 
       150*s[78] - 120*s[79] + 120*s[80] + s[81] + 396*s[82] + 18*s[83] - 
       216*s[84] - 72*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Ot[u, v, w]*
      (-9*s[2] - (71*s[3])/2 - (2893*s[4])/4 - (47007*s[5])/88 - 
       (29839*s[6])/22 - (19192225*s[7])/1584 + (1161935*s[8])/1188 + 
       (2208851*s[9])/216 + (699463*s[10])/216 + (1315300*s[11])/99 + 
       (22943297*s[12])/1584 + (1527791*s[13])/176 + (2583751*s[14])/1584 + 
       (258263*s[15])/16 + (1352381*s[16])/66 + (1572221*s[17])/99 + 
       (363241*s[18])/162 + (1158965*s[19])/648 + (172522967*s[20])/7128 + 
       (125294149*s[21])/14256 - (90725795*s[22])/14256 - 
       (2439163*s[23])/176 - (188639651*s[24])/14256 + 
       (2164529887*s[25])/128304 - (1194938917*s[26])/128304 - (3*s[30])/2 - 
       3*s[31] + s[32] - (9*s[33])/8 + (5*s[34])/2 + (5*s[35])/3 + 
       (76*s[36])/3 - (185*s[37])/6 - 398*s[38] + (39053*s[39])/24 - 
       (44029*s[40])/24 + (34639*s[41])/24 - (56381*s[42])/24 - 
       (387503*s[43])/264 + (814105*s[44])/528 - (463531*s[45])/264 + 
       (1774753*s[46])/132 - (799591*s[47])/1584 - (459493*s[48])/1584 + 
       (10558111*s[49])/1584 - (684203*s[50])/66 - (2539739*s[51])/1584 - 
       (2049263*s[52])/1584 + (712655*s[53])/99 - (9245*s[54])/44 + 
       (24182083*s[55])/528 + (6399707*s[56])/528 - (370109*s[57])/33 + 
       (98647091*s[58])/4752 - (99861023*s[59])/4752 - 
       (1049311951*s[60])/9504 + (127183373*s[61])/21384 + s[71] - 6*s[72] + 
       (41*s[74])/6 - (41*s[75])/6 + (26*s[76])/3 + (5*s[77])/3 - 6*s[78] - 
       156*s[79] + (109*s[80])/3 - 252*s[82] - 72*s[84] - 72*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Omega2[v, w, u]*
      ((-167*s[2])/12 - (1087*s[3])/24 - (39121*s[4])/48 - (18805*s[5])/33 - 
       (781771*s[6])/528 - (126537845*s[7])/9504 + (16105285*s[8])/14256 + 
       (7242055*s[9])/648 + (2276291*s[10])/648 + (139088887*s[11])/9504 + 
       (38123543*s[12])/2376 + (91162529*s[13])/9504 + 
       (15746455*s[14])/9504 + (15318535*s[15])/864 + (26772013*s[16])/1188 + 
       (6099823*s[17])/352 + (4682957*s[18])/1944 + (7872275*s[19])/3888 + 
       (1132513307*s[20])/42768 + (812324737*s[21])/85536 - 
       (597054173*s[22])/85536 - (4584947*s[23])/297 - 
       (312869063*s[24])/21384 + (3598592323*s[25])/192456 - 
       (1963016977*s[26])/192456 + 2*s[29] - (5*s[30])/2 - (14*s[31])/3 + 
       (4*s[32])/3 - (47*s[33])/12 + (5*s[34])/6 + (47*s[35])/6 + 
       (254*s[36])/9 - (665*s[37])/18 - (2647*s[38])/6 + (43645*s[39])/24 - 
       (147103*s[40])/72 + (38255*s[41])/24 - (188723*s[42])/72 - 
       (1304225*s[43])/792 + (1378415*s[44])/792 - (771109*s[45])/396 + 
       (11859961*s[46])/792 - (1352581*s[47])/2376 - (404321*s[48])/1188 + 
       (17874271*s[49])/2376 - (1139905*s[50])/99 - (2116915*s[51])/1188 - 
       (1676215*s[52])/1188 + (2387686*s[53])/297 - (51575*s[54])/198 + 
       (5056708*s[55])/99 + (10683359*s[56])/792 - (9627053*s[57])/792 + 
       (163970693*s[58])/7128 - (83242171*s[59])/3564 - 
       (1756321363*s[60])/14256 + (850823927*s[61])/128304 + s[65]/3 + 
       (4*s[66])/3 - (8*s[67])/3 - (8*s[68])/3 - (8*s[69])/3 - (5*s[70])/3 - 
       s[71]/3 - (23*s[72])/3 + 5*s[73] + (29*s[74])/4 - (29*s[75])/4 + 
       (31*s[76])/3 + (11*s[77])/6 - (35*s[78])/3 - (460*s[79])/3 + 
       (394*s[80])/9 - 324*s[82] - s[83] - 66*s[84] - 68*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Omega2[w, u, v]*
      ((-59*s[2])/6 - (181*s[3])/4 - (10001*s[4])/12 - (157633*s[5])/264 - 
       (405745*s[6])/264 - (65434507*s[7])/4752 + (8257603*s[8])/7128 + 
       (3751579*s[9])/324 + (2356441*s[10])/648 + (71953747*s[11])/4752 + 
       (39431257*s[12])/2376 + (15747517*s[13])/1584 + (8205715*s[14])/4752 + 
       (291927*s[15])/16 + (18414211*s[16])/792 + (84873857*s[17])/4752 + 
       (1220389*s[18])/486 + (4045583*s[19])/1944 + (585190241*s[20])/21384 + 
       (420374203*s[21])/42768 - (308823437*s[22])/42768 - 
       (12523189*s[23])/792 - (322602883*s[24])/21384 + 
       (1860393979*s[25])/96228 - (1015529671*s[26])/96228 + 2*s[29] - 
       (5*s[30])/2 - (7*s[31])/3 - s[32]/3 + (37*s[33])/24 + (13*s[34])/6 + 
       (17*s[35])/3 + (251*s[36])/9 - (139*s[37])/3 - (1360*s[38])/3 + 
       (11153*s[39])/6 - (37447*s[40])/18 + 1618*s[41] - (48281*s[42])/18 - 
       (324743*s[43])/198 + (1386563*s[44])/792 - (84861*s[45])/44 + 
       (5923021*s[46])/396 - (1476655*s[47])/2376 - (635419*s[48])/2376 + 
       (17779213*s[49])/2376 - (2267861*s[50])/198 - (4413227*s[51])/2376 - 
       (3498347*s[52])/2376 + (2364863*s[53])/297 - (33470*s[54])/99 + 
       (40034101*s[55])/792 + (31911787*s[56])/2376 - (11704601*s[57])/891 + 
       (497390843*s[58])/21384 - (502007933*s[59])/21384 - 
       (1743262369*s[60])/14256 + (1268603255*s[61])/192456 + s[65]/3 + 
       (4*s[66])/3 - (8*s[67])/3 - (8*s[68])/3 - (5*s[69])/3 - (2*s[70])/3 - 
       s[71]/3 - (22*s[72])/3 - (10*s[73])/3 + (49*s[74])/6 - (49*s[75])/6 + 
       8*s[76] + (2*s[77])/3 - (26*s[78])/3 - 156*s[79] + 45*s[80] - 
       324*s[82] - s[83] - 66*s[84] - 68*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*
      ((-25*s[2])/12 - (3215*s[3])/48 - (41107*s[4])/96 - (60531*s[5])/176 - 
       (311305*s[6])/352 - (37016897*s[7])/4752 + (7783717*s[8])/14256 + 
       (16945609*s[9])/2592 + (6076985*s[10])/2592 + (80736541*s[11])/9504 + 
       (86201105*s[12])/9504 + (1428461*s[13])/264 + (13572469*s[14])/9504 + 
       (1542823*s[15])/144 + (42686119*s[16])/3168 + (25951331*s[17])/2376 + 
       (10404551*s[18])/7776 + (11199649*s[19])/7776 + 
       (1365379639*s[20])/85536 + (123484495*s[21])/21384 - 
       (21701951*s[22])/5346 - (7601455*s[23])/1056 - 
       (386061757*s[24])/42768 + (4104300107*s[25])/384912 - 
       (2293218425*s[26])/384912 - (5*s[30])/6 + 2*s[31] + (5*s[32])/12 + 
       (65*s[33])/48 - (61*s[34])/12 - 5*s[35] + (80*s[36])/9 + 
       (71*s[37])/9 - (897*s[38])/4 + (3347*s[39])/4 - (34481*s[40])/36 + 
       (12517*s[41])/16 - (165415*s[42])/144 - (355549*s[43])/396 + 
       (89611*s[44])/99 - (111052*s[45])/99 + (6417391*s[46])/792 - 
       (112691*s[47])/1188 - (150248*s[48])/297 + (39177955*s[49])/9504 - 
       (1257923*s[50])/198 - (7394501*s[51])/9504 - (1415831*s[52])/2376 + 
       (21015187*s[53])/4752 + (254807*s[54])/1584 + (45305459*s[55])/1584 + 
       (22708901*s[56])/3168 - (833507*s[57])/264 + (327290693*s[58])/28512 - 
       (338547185*s[59])/28512 - (3931356259*s[60])/57024 + 
       (921171313*s[61])/256608 + (14*s[68])/3 - (14*s[69])/3 + (4*s[71])/3 - 
       (7*s[72])/3 - 4*s[73] + (7*s[74])/3 - (7*s[75])/3 + (4*s[76])/3 + 
       5*s[77] + s[78]/3 - (176*s[79])/3 + (88*s[80])/9 - (581*s[82])/2 - 
       28*s[84] - 68*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*(-s[1] - (3*s[2])/2 - 
       (64*s[3])/3 + (6893*s[4])/24 + (3261*s[5])/88 + (41509*s[6])/264 + 
       (4431013*s[7])/2376 - (2039729*s[8])/7128 - (997045*s[9])/648 + 
       (971*s[10])/324 - (672812*s[11])/297 - (1731047*s[12])/594 - 
       (3003355*s[13])/1584 + (956347*s[14])/1188 - (45365*s[15])/24 - 
       (474629*s[16])/176 - (2620601*s[17])/2376 - (595259*s[18])/1944 - 
       (68611*s[19])/486 - (108265511*s[20])/42768 - (31382705*s[21])/42768 + 
       (2658061*s[22])/2673 + (2026319*s[23])/396 + (15176035*s[24])/10692 - 
       (1289876657*s[25])/384912 + (136796615*s[26])/96228 - (8*s[29])/3 - 
       2*s[30] + 4*s[31] - 4*s[32] + (35*s[33])/6 - 18*s[34] - (97*s[35])/6 - 
       (709*s[36])/36 + (83*s[37])/6 + (1037*s[38])/6 - (31745*s[39])/48 + 
       (97159*s[40])/144 - (24371*s[41])/48 + (145961*s[42])/144 + 
       (519677*s[43])/1584 - (1353763*s[44])/3168 - (1865*s[45])/132 - 
       (2834963*s[46])/1584 + (4364621*s[47])/9504 - (4627813*s[48])/9504 - 
       (15334079*s[49])/9504 + (267433*s[50])/198 + (7119067*s[51])/9504 + 
       (5617657*s[52])/9504 - (1890671*s[53])/2376 + (95617*s[54])/396 - 
       (11393629*s[55])/3168 - (9055553*s[56])/9504 + (7168786*s[57])/891 - 
       (369674335*s[58])/85536 + (366755869*s[59])/85536 + 
       (678548105*s[60])/57024 - (293272147*s[61])/769824 - (4*s[63])/3 - 
       s[64]/3 - (5*s[65])/2 - (19*s[66])/3 + (38*s[67])/3 + 9*s[68] + 
       (65*s[69])/3 + 2*s[70] + s[71]/6 + (35*s[72])/3 - (71*s[73])/2 - 
       (115*s[74])/12 + (115*s[75])/12 + (8*s[76])/3 - (17*s[77])/2 + 
       (71*s[78])/6 + 33*s[79] - (9*s[80])/2 - 516*s[82] + (19*s[83])/4 + 
       (55*s[84])/2 - 66*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*((-293*s[2])/18 - 
       (117*s[3])/2 + (15967*s[4])/72 + (4893*s[5])/44 + (27122*s[6])/99 + 
       (2960369*s[7])/1188 - (75181*s[8])/297 - (57611*s[9])/27 - 
       (86795*s[10])/216 - (94018*s[11])/33 - (2657131*s[12])/792 - 
       (9856765*s[13])/4752 + (3637*s[14])/88 - (51479*s[15])/18 - 
       (1158781*s[16])/297 - (11293901*s[17])/4752 - (754493*s[18])/1296 - 
       (115063*s[19])/1296 - (65251723*s[20])/14256 - (4324151*s[21])/2376 + 
       (9636767*s[22])/7128 + (5225579*s[23])/1188 + (16153499*s[24])/7128 - 
       (157574867*s[25])/42768 + (88443239*s[26])/42768 + s[27]/3 - 
       (8*s[29])/3 + s[30]/3 - (58*s[31])/9 + (11*s[32])/6 - (53*s[33])/12 + 
       (23*s[34])/9 - (58*s[35])/9 - (583*s[36])/27 + (1123*s[37])/108 + 
       (735*s[38])/4 - (15509*s[39])/24 + (147845*s[40])/216 - 
       (4457*s[41])/8 + (205681*s[42])/216 + (1097623*s[43])/2376 - 
       (1121455*s[44])/2376 + (648941*s[45])/2376 - (420323*s[46])/132 + 
       (2199911*s[47])/7128 - (1639573*s[48])/7128 - (27578083*s[49])/14256 + 
       (667697*s[50])/297 + (8601563*s[51])/14256 + (2224631*s[52])/3564 - 
       (98467*s[53])/66 + (30733*s[54])/88 - (10758131*s[55])/1188 - 
       (40254629*s[56])/14256 + (82039445*s[57])/10692 - 
       (818129761*s[58])/128304 + (814120297*s[59])/128304 + 
       (2009740633*s[60])/85536 - (342651733*s[61])/288684 - s[65]/3 - 
       (4*s[66])/3 + (10*s[67])/3 + (37*s[68])/9 + (5*s[69])/9 + 
       (4*s[70])/3 - (7*s[71])/3 + (8*s[72])/3 - 4*s[73] - (35*s[74])/9 + 
       (35*s[75])/9 + (34*s[76])/9 - (11*s[77])/9 + (50*s[78])/9 + 
       (308*s[79])/9 + (392*s[80])/27 - (1333*s[82])/3 + s[83] + 30*s[84] - 
       (196*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u]*((-49*s[2])/6 - (332*s[3])/3 - (779*s[4])/4 - 
       (9463*s[5])/44 - (67339*s[6])/132 - (3521315*s[7])/792 + 
       (278731*s[8])/1188 + (397877*s[9])/108 + (85223*s[10])/54 + 
       (946123*s[11])/198 + (3871367*s[12])/792 + (2250461*s[13])/792 + 
       (971323*s[14])/792 + (472871*s[15])/72 + (3184231*s[16])/396 + 
       (468151*s[17])/66 + (55852*s[18])/81 + (89168*s[19])/81 + 
       (8558687*s[20])/891 + (24646519*s[21])/7128 - (16140893*s[22])/7128 - 
       (2183515*s[23])/792 - (40197725*s[24])/7128 + (188092979*s[25])/
        32076 - (27071903*s[26])/8019 + (4*s[31])/3 + (5*s[32])/6 + s[33] - 
       (20*s[34])/3 - (16*s[35])/3 - (20*s[36])/9 + (259*s[37])/18 - 
       (256*s[38])/3 + (692*s[39])/3 - (2545*s[40])/9 + (1333*s[41])/6 - 
       (2036*s[42])/9 - (41201*s[43])/99 + (76159*s[44])/198 - 
       (65947*s[45])/99 + (130553*s[46])/33 + (196733*s[47])/1188 - 
       (662059*s[48])/1188 + (1176827*s[49])/594 - (317549*s[50])/99 - 
       (36335*s[51])/297 - (18698*s[52])/297 + (225799*s[53])/99 + 
       (10154*s[54])/33 + (6113441*s[55])/396 + (2090689*s[56])/594 + 
       (2369602*s[57])/891 + (11995132*s[58])/2673 - (13200151*s[59])/2673 - 
       (32536742*s[60])/891 + (177373513*s[61])/96228 + (19*s[68])/3 - 
       (13*s[69])/3 - 2*s[73] - (5*s[74])/3 + (5*s[75])/3 + (17*s[77])/3 + 
       (4*s[78])/3 - (8*s[79])/3 + (40*s[80])/9 - 394*s[82] - 64*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      (20*s[2] - (41*s[3])/4 - (20257*s[4])/8 - (22577*s[5])/22 - 
       (288549*s[6])/88 - (51569129*s[7])/1584 + (7800733*s[8])/2376 + 
       (2912281*s[9])/108 + (844319*s[10])/108 + (57203467*s[11])/1584 + 
       (32109475*s[12])/792 + (38713907*s[13])/1584 + (1217197*s[14])/1584 + 
       (6118507*s[15])/144 + (43069429*s[16])/792 + (20929163*s[17])/528 + 
       (871009*s[18])/162 + (3434591*s[19])/648 + (438690455*s[20])/7128 + 
       (295702615*s[21])/14256 - (243206807*s[22])/14256 - 
       (17319349*s[23])/396 - (62448841*s[24])/1782 + 
       (3066031223*s[25])/64152 - (1563294239*s[26])/64152 + (3*s[28])/2 + 
       13*s[29] - 19*s[30] - 4*s[31] + (25*s[32])/2 - (91*s[33])/4 + 
       14*s[34] + 37*s[35] + (428*s[36])/3 - (172*s[37])/3 - 1274*s[38] + 
       5318*s[39] - (17303*s[40])/3 + 4592*s[41] - (23233*s[42])/3 - 
       (147823*s[43])/33 + (1275767*s[44])/264 - (153877*s[45])/33 + 
       (1298084*s[46])/33 - (1444351*s[47])/792 - (160783*s[48])/792 + 
       (16490077*s[49])/792 - (2018069*s[50])/66 - (4125347*s[51])/792 - 
       (3244631*s[52])/792 + (4229939*s[53])/198 - (17771*s[54])/66 + 
       (35106041*s[55])/264 + (8993345*s[56])/264 - (4820687*s[57])/132 + 
       (144988817*s[58])/2376 - (149133311*s[59])/2376 - 
       (1518219151*s[60])/4752 + (355911583*s[61])/21384 - 4*s[63] - s[64] + 
       8*s[65] + 22*s[66] - 26*s[67] + 8*s[68] - 44*s[69] + 32*s[70] - 
       s[71] - 42*s[72] + 4*s[73] + 39*s[74] - (81*s[75])/2 + 36*s[76] - 
       s[77] - 64*s[78] - 326*s[79] + (106*s[80])/3 + 76*s[82] - 
       (33*s[83])/2 - 213*s[84] - 64*s[85]) + HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v]*(4*s[1] + 10*s[2] + (23*s[3])/2 - 
       (537*s[4])/4 - (19025*s[5])/22 - (33799*s[6])/44 - 
       (7786693*s[7])/792 + (424333*s[8])/1188 + (239390*s[9])/27 + 
       (92638*s[10])/27 + (7903939*s[11])/792 + (3792667*s[12])/396 + 
       (1342361*s[13])/264 + (2882257*s[14])/792 + (122895*s[15])/8 + 
       (761353*s[16])/44 + (12791237*s[17])/792 + (162535*s[18])/81 + 
       (533039*s[19])/324 + (80696135*s[20])/3564 + (64051015*s[21])/7128 - 
       (37013423*s[22])/7128 - (363577*s[23])/66 - (20426303*s[24])/1782 + 
       (365949671*s[25])/32076 - (242553965*s[26])/32076 + 4*s[27] - 
       6*s[29] + 4*s[30] + 8*s[31] + (41*s[33])/2 - 6*s[34] - 12*s[35] + 
       36*s[36] - 10*s[37] - 258*s[38] + 750*s[39] - 840*s[40] + 704*s[41] - 
       (1937*s[42])/2 - (12032*s[43])/11 + (17125*s[44])/22 - 
       (19297*s[45])/11 + (112349*s[46])/11 + (805*s[47])/33 - 
       (12923*s[48])/33 + (307405*s[49])/66 - (93210*s[50])/11 - 
       (43841*s[51])/66 - (31421*s[52])/66 + (209185*s[53])/33 + 
       (7600*s[54])/11 + (1369642*s[55])/33 + (187471*s[56])/22 + 
       (220717*s[57])/33 + (2275543*s[58])/198 - (2619625*s[59])/198 - 
       (36204595*s[60])/396 + (2661899*s[61])/594 - 8*s[62] - 2*s[65] - 
       8*s[66] + 12*s[67] + 2*s[68] + 20*s[69] - 4*s[70] + 2*s[71] + 
       4*s[72] - 12*s[73] - 5*s[74] + 5*s[75] - 14*s[76] - 6*s[77] + 
       16*s[78] - 4*s[79] - 30*s[80] - 296*s[82] + 6*s[83] - 36*s[84] - 
       64*s[85]) + HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((135*s[3])/2 - (453*s[4])/4 - (11827*s[5])/22 - (15967*s[6])/44 - 
       (5891245*s[7])/792 + (365243*s[8])/1188 + (361277*s[9])/54 + 
       (149959*s[10])/54 + (5950853*s[11])/792 + (2874989*s[12])/396 + 
       (3077149*s[13])/792 + (1774283*s[14])/792 + (845183*s[15])/72 + 
       (1295186*s[16])/99 + (1082043*s[17])/88 + (97685*s[18])/81 + 
       (577297*s[19])/324 + (59079109*s[20])/3564 + (43785689*s[21])/7128 - 
       (28225753*s[22])/7128 - (1182433*s[23])/396 - (32638871*s[24])/3564 + 
       (282972235*s[25])/32076 - (171594949*s[26])/32076 - 8*s[29] + 
       4*s[30] - 8*s[31] + 2*s[32] - (7*s[33])/2 + 4*s[34] - 2*s[35] - 
       (50*s[36])/3 + (101*s[37])/3 - 178*s[38] + 500*s[39] - 
       (1696*s[40])/3 + 560*s[41] - (4063*s[42])/6 - (19472*s[43])/33 + 
       (57677*s[44])/132 - (82571*s[45])/66 + (156295*s[46])/22 - 
       (45031*s[47])/396 + (6977*s[48])/396 + (1146499*s[49])/396 - 
       (212546*s[50])/33 - (249017*s[51])/396 - (138821*s[52])/396 + 
       (149729*s[53])/33 + (5735*s[54])/11 + (1316709*s[55])/44 + 
       (2257817*s[56])/396 + (1833562*s[57])/297 + (26878651*s[58])/3564 - 
       (30869989*s[59])/3564 - (154524979*s[60])/2376 + 
       (102238975*s[61])/32076 - 2*s[65] - 8*s[66] + 12*s[67] + 2*s[68] + 
       20*s[69] + 2*s[71] + 4*s[72] - 16*s[73] - 3*s[74] + 3*s[75] + 
       2*s[76] - 8*s[77] + 20*s[78] - 72*s[79] + (58*s[80])/3 - 296*s[82] + 
       6*s[83] - 36*s[84] - 64*s[85]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]^2*((-87*s[2])/4 - (93*s[3])/8 - (1547*s[4])/16 - 
       (32699*s[5])/88 - (111407*s[6])/176 - (15758551*s[7])/3168 + 
       (1306945*s[8])/4752 + (115904*s[9])/27 + (41650*s[10])/27 + 
       (16728709*s[11])/3168 + (1064273*s[12])/198 + (3315845*s[13])/1056 + 
       (5007553*s[14])/3168 + (678187*s[15])/96 + (756683*s[16])/88 + 
       (23676611*s[17])/3168 + (333589*s[18])/324 + (865481*s[19])/1296 + 
       (153371513*s[20])/14256 + (122026747*s[21])/28512 - 
       (74025203*s[22])/28512 - (1019869*s[23])/264 - (20129653*s[24])/3564 + 
       (801477509*s[25])/128304 - (502616525*s[26])/128304 + 2*s[28] + 
       (5*s[30])/2 - 4*s[31] - s[32] + 2*s[33] + (3*s[34])/2 + (11*s[35])/2 - 
       (37*s[36])/6 - (11*s[37])/12 - (239*s[38])/2 + (1661*s[39])/4 - 
       (5557*s[40])/12 + 352*s[41] - (6587*s[42])/12 - (71069*s[43])/132 + 
       (240005*s[44])/528 - (241027*s[45])/264 + (1478687*s[46])/264 - 
       (25303*s[47])/1584 - (608875*s[48])/1584 + (3666661*s[49])/1584 - 
       (142163*s[50])/33 - (552707*s[51])/1584 - (427217*s[52])/1584 + 
       (1270619*s[53])/396 - (2173*s[54])/66 + (3699819*s[55])/176 + 
       (962539*s[56])/176 + (261529*s[57])/792 + (35347093*s[58])/4752 - 
       (36683047*s[59])/4752 - (454541677*s[60])/9504 + 
       (13320115*s[61])/4752 - s[65] - 6*s[66] + 9*s[67] + 15*s[69] - 
       10*s[70] + s[71] + s[72] - 13*s[73] - (11*s[74])/4 + (11*s[75])/4 + 
       s[76] - s[77]/2 + 9*s[78] + 16*s[79] - (23*s[80])/6 - 272*s[82] + 
       6*s[83] - 36*s[84] - 64*s[85]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]^2*(-21*s[2] + (171*s[3])/2 - (43*s[4])/8 - 
       (24687*s[5])/88 - (18023*s[6])/44 - (731971*s[7])/198 + 
       (9809*s[8])/66 + (13315*s[9])/4 + (30131*s[10])/24 + 
       (1005889*s[11])/264 + (330557*s[12])/88 + (423077*s[13])/198 + 
       (395419*s[14])/264 + (193313*s[15])/36 + (5039711*s[16])/792 + 
       (4517833*s[17])/792 + (20551*s[18])/27 + (44921*s[19])/108 + 
       (9930323*s[20])/1188 + (1973981*s[21])/594 - (1582331*s[22])/792 - 
       (1636483*s[23])/792 - (373345*s[24])/88 + (46472827*s[25])/10692 - 
       (15216095*s[26])/5346 - s[27] - 9*s[29] + (5*s[30])/2 - 5*s[31] - 
       s[32]/2 + (35*s[33])/8 - (5*s[34])/2 - 2*s[35] - (38*s[36])/3 + 
       (41*s[37])/6 - 62*s[38] + (1015*s[39])/4 - (3961*s[40])/12 + 
       (1111*s[41])/4 - (4511*s[42])/12 - (47327*s[43])/132 + 
       (83143*s[44])/264 - (74831*s[45])/132 + (245969*s[46])/66 + 
       (22639*s[47])/792 - (245783*s[48])/792 + (1132535*s[49])/792 - 
       (98249*s[50])/33 - (239323*s[51])/792 - (148801*s[52])/792 + 
       (428095*s[53])/198 - (4640*s[54])/33 + (3760205*s[55])/264 + 
       (328865*s[56])/88 + (66619*s[57])/198 + (11544815*s[58])/2376 - 
       (11918447*s[59])/2376 - (152739515*s[60])/4752 + (1085815*s[61])/594 - 
       s[64] - 2*s[65] - 7*s[66] + 12*s[67] + 4*s[68] + 20*s[69] - 4*s[70] + 
       2*s[71] + 4*s[72] - 16*s[73] - 3*s[74] + 3*s[75] + 3*s[76] - 8*s[77] + 
       20*s[78] - 82*s[79] + (65*s[80])/3 - 272*s[82] + 6*s[83] - 36*s[84] - 
       64*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w]*((87*s[2])/4 - (993*s[3])/8 - 
       (22845*s[4])/16 - (76287*s[5])/176 - (165755*s[6])/88 - 
       (52889951*s[7])/3168 + (959741*s[8])/594 + (5893475*s[9])/432 + 
       (1775083*s[10])/432 + (59354161*s[11])/3168 + (33367189*s[12])/1584 + 
       (41159117*s[13])/3168 + (1359883*s[14])/3168 + (6235135*s[15])/288 + 
       (44601121*s[16])/1584 + (21650759*s[17])/1056 + (3328993*s[18])/1296 + 
       (4025549*s[19])/1296 + (446177375*s[20])/14256 + 
       (299238391*s[21])/28512 - (247616537*s[22])/28512 - 
       (33831209*s[23])/1584 - (266061505*s[24])/14256 + 
       (6388828387*s[25])/256608 - (3237177931*s[26])/256608 + (5*s[27])/4 + 
       4*s[29] - 9*s[30] + 17*s[31] - 5*s[32] + (173*s[33])/8 - 24*s[34] + 
       16*s[35] + (293*s[36])/3 - (13*s[37])/24 - (2885*s[38])/4 + 
       (21395*s[39])/8 - (70477*s[40])/24 + 2371*s[41] - (22679*s[42])/6 - 
       (58777*s[43])/24 + (123005*s[44])/48 - (122779*s[45])/48 + 
       (330625*s[46])/16 - (96745*s[47])/144 - (107431*s[48])/144 + 
       (1619791*s[49])/144 - (191717*s[50])/12 - (373877*s[51])/144 - 
       (289895*s[52])/144 + (523987*s[53])/48 + (1425*s[54])/8 + 
       (1105413*s[55])/16 + (2572811*s[56])/144 - (1931843*s[57])/108 + 
       (20643473*s[58])/648 - (42318301*s[59])/1296 - (73793615*s[60])/432 + 
       (203245367*s[61])/23328 + 2*s[65] + 8*s[66] - 8*s[67] + 10*s[68] - 
       26*s[69] + 4*s[70] + (19*s[71])/4 - 14*s[72] - 2*s[73] + 
       (69*s[74])/4 - (69*s[75])/4 + 5*s[76] + 13*s[77] - 29*s[78] - 
       162*s[79] - (73*s[80])/12 + 78*s[82] - 6*s[83] - 96*s[84] - 
       60*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Omega2[w, u, v]*
      (-7*s[2] - (65*s[3])/2 - 512*s[4] - (18405*s[5])/44 - (91119*s[6])/88 - 
       (3593603*s[7])/396 + (1706869*s[8])/2376 + (1656293*s[9])/216 + 
       (133417*s[10])/54 + (15720019*s[11])/1584 + (17061245*s[12])/1584 + 
       (1272631*s[13])/198 + (136588*s[14])/99 + (218507*s[15])/18 + 
       (12198535*s[16])/792 + (6367753*s[17])/528 + (1115029*s[18])/648 + 
       (849665*s[19])/648 + (65184367*s[20])/3564 + (11937005*s[21])/1782 - 
       (33942175*s[22])/7128 - (16098553*s[23])/1584 - 
       (141349265*s[24])/14256 + (1606892191*s[25])/128304 - 
       (897407287*s[26])/128304 - s[30] - 2*s[31] + s[32]/2 - s[33]/4 + 
       s[34] + (4*s[35])/3 + (44*s[36])/3 - (64*s[37])/3 - (555*s[38])/2 + 
       (14183*s[39])/12 - (16063*s[40])/12 + (6347*s[41])/6 - 
       (20537*s[42])/12 - (141287*s[43])/132 + (75337*s[44])/66 - 
       (58095*s[45])/44 + (662333*s[46])/66 - (141617*s[47])/396 - 
       (24275*s[48])/99 + (970507*s[49])/198 - (255416*s[50])/33 - 
       (461011*s[51])/396 - (367069*s[52])/396 + (2134025*s[53])/396 - 
       (5776*s[54])/33 + (755437*s[55])/22 + (3604259*s[56])/396 - 
       (9467951*s[57])/1188 + (54856651*s[58])/3564 - (27722081*s[59])/1782 - 
       (48955235*s[60])/594 + (288757925*s[61])/64152 - 4*s[72] - 2*s[73] + 
       (14*s[74])/3 - (14*s[75])/3 + (16*s[76])/3 + (4*s[77])/3 - 4*s[78] - 
       112*s[79] + (100*s[80])/3 - 285*s[82] - 48*s[84] - 60*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Omega2[v, w, u]*
      (-7*s[2] - (133*s[3])/4 - (12113*s[4])/24 - (17353*s[5])/44 - 
       (87237*s[6])/88 - (4630271*s[7])/528 + (559415*s[8])/792 + 
       (66497*s[9])/9 + (21514*s[10])/9 + (1686383*s[11])/176 + 
       (914909*s[12])/88 + (1092215*s[13])/176 + (690343*s[14])/528 + 
       (566933*s[15])/48 + (1313531*s[16])/88 + (2063541*s[17])/176 + 
       (173857*s[18])/108 + (286225*s[19])/216 + (41948875*s[20])/2376 + 
       (30536321*s[21])/4752 - (21836557*s[22])/4752 - (430307*s[23])/44 - 
       (2869093*s[24])/297 + (259307671*s[25])/21384 - 
       (144148981*s[26])/21384 - s[30] - 2*s[31] + s[32] - s[33]/4 - s[34] + 
       s[35]/3 + (44*s[36])/3 - (119*s[37])/6 - 262*s[38] + (2237*s[39])/2 - 
       (7645*s[40])/6 + (6001*s[41])/6 - (6495*s[42])/4 - (34402*s[43])/33 + 
       (36209*s[44])/33 - (169931*s[45])/132 + (1280923*s[46])/132 - 
       (20753*s[47])/66 - (9403*s[48])/33 + (52270*s[49])/11 - 
       (495317*s[50])/66 - (214067*s[51])/198 - (9448*s[52])/11 + 
       (2082595*s[53])/396 - (9587*s[54])/66 + (6646183*s[55])/198 + 
       (877868*s[56])/99 - (8358707*s[57])/1188 + (52408849*s[58])/3564 - 
       (13341331*s[59])/891 - (63486287*s[60])/792 + (280244243*s[61])/
        64152 - 4*s[72] + (25*s[74])/6 - (25*s[75])/6 + (16*s[76])/3 + 
       (4*s[77])/3 - 4*s[78] - 112*s[79] + (103*s[80])/3 - 285*s[82] - 
       48*s[84] - 60*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - v]*((-43*s[2])/2 - (431*s[3])/4 - (1139*s[4])/8 + 
       (709*s[5])/44 - (27111*s[6])/88 - (706571*s[7])/528 + 
       (172367*s[8])/2376 + (56971*s[9])/54 + (9220*s[10])/27 + 
       (2451437*s[11])/1584 + (705391*s[12])/396 + (1874603*s[13])/1584 + 
       (647717*s[14])/1584 + (209083*s[15])/144 + (1724857*s[16])/792 + 
       (2360531*s[17])/1584 + (33259*s[18])/81 + (11179*s[19])/648 + 
       (20386039*s[20])/7128 + (15080159*s[21])/14256 - 
       (9550075*s[22])/14256 - (1317665*s[23])/792 - (9976343*s[24])/7128 + 
       (60830225*s[25])/32076 - (36733661*s[26])/32076 - (9*s[28])/2 - 
       3*s[29] - 4*s[30] - 5*s[31] + (23*s[32])/2 - 28*s[33] - 4*s[34] - 
       s[35] - 33*s[36] + (39*s[37])/2 - (63*s[38])/2 + (101*s[39])/4 - 
       (417*s[40])/4 + (193*s[41])/2 - (33*s[42])/4 - (4179*s[43])/44 + 
       (4971*s[44])/88 - (2716*s[45])/11 + (46643*s[46])/44 - 
       (3815*s[47])/264 - (54041*s[48])/264 + (39539*s[49])/264 - 
       (25925*s[50])/44 - (29989*s[51])/264 - (25297*s[52])/264 + 
       (39797*s[53])/132 - (15197*s[54])/44 + (765533*s[55])/264 + 
       (123331*s[56])/88 - (66447*s[57])/44 + (1630951*s[58])/792 - 
       (1244335*s[59])/792 - (13984937*s[60])/1584 + (4710593*s[61])/7128 + 
       12*s[63] + s[64]/2 - s[65]/2 - 6*s[66] + 8*s[67] - 5*s[68] + 7*s[69] - 
       41*s[70] + (9*s[71])/2 + 4*s[72] + 6*s[73] - 4*s[74] + 2*s[75] + 
       54*s[77] + 12*s[78] - 56*s[79] + 7*s[80] - 72*s[82] + 9*s[83] - 
       12*s[84] - 60*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u]*(-9*s[2] - (131*s[3])/2 - (1087*s[4])/4 - 
       (10333*s[5])/88 - (49979*s[6])/88 - (245425*s[7])/66 + 
       (21771*s[8])/88 + (24471*s[9])/8 + (8059*s[10])/8 + 
       (179295*s[11])/44 + (391767*s[12])/88 + (742859*s[13])/264 + 
       (61673*s[14])/88 + (112699*s[15])/24 + (1638713*s[16])/264 + 
       (1257463*s[17])/264 + (59675*s[18])/72 + (3425*s[19])/9 + 
       (1471573*s[20])/198 + (1070407*s[21])/396 - (504619*s[22])/264 - 
       (1179757*s[23])/264 - (343203*s[24])/88 + (73509715*s[25])/14256 - 
       (41162563*s[26])/14256 - s[28]/2 - 3*s[29] + 2*s[30] - 9*s[31] - 
       3*s[32] - (21*s[33])/4 - 5*s[34] + 13*s[35] - (74*s[36])/3 + 
       (101*s[37])/4 - 122*s[38] + (1605*s[39])/4 - (6355*s[40])/12 + 
       (1803*s[41])/4 - (1628*s[42])/3 - (62525*s[43])/132 + 
       (14483*s[44])/33 - (57573*s[45])/88 + (1136107*s[46])/264 - 
       (37357*s[47])/396 - (68261*s[48])/198 + (376493*s[49])/198 - 
       (425471*s[50])/132 - (185915*s[51])/396 - (150707*s[52])/396 + 
       (1724747*s[53])/792 - (7033*s[54])/33 + (962039*s[55])/66 + 
       (1659049*s[56])/396 - (1475525*s[57])/594 + (45722503*s[58])/7128 - 
       (11086765*s[59])/1782 - (172646717*s[60])/4752 + 
       (264886211*s[61])/128304 - (3*s[62])/2 - s[64]/2 - s[65]/2 - 2*s[66] + 
       6*s[67] - 3*s[68] - 3*s[69] - 19*s[70] + 6*s[71] + 4*s[72] - 
       10*s[73] - (5*s[74])/2 + (3*s[75])/2 + 4*s[76] + 22*s[77] + 2*s[78] - 
       100*s[79] + (17*s[80])/2 + s[81]/6 - 72*s[82] + 9*s[83] - 12*s[84] - 
       60*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2*
      ((73*s[2])/48 - (3931*s[3])/96 - (28699*s[4])/64 - (379153*s[5])/1056 - 
       (628391*s[6])/704 - (298946899*s[7])/38016 + (3824561*s[8])/6336 + 
       (1905571*s[9])/288 + (639529*s[10])/288 + (108652603*s[11])/12672 + 
       (2441749*s[12])/264 + (209134283*s[13])/38016 + 
       (17093995*s[14])/12672 + (36912709*s[15])/3456 + 
       (128081579*s[16])/9504 + (406913455*s[17])/38016 + 
       (1852933*s[18])/1296 + (6542399*s[19])/5184 + (913440989*s[20])/
        57024 + (664946753*s[21])/114048 - (156328159*s[22])/38016 - 
       (4814785*s[23])/594 - (83955683*s[24])/9504 + (5539607143*s[25])/
        513216 - (3102640477*s[26])/513216 + s[27]/16 + (7*s[29])/6 - 
       (23*s[30])/24 + (19*s[31])/4 + (9*s[32])/8 + (17*s[33])/3 - 
       (191*s[34])/24 - (21*s[35])/8 + (2245*s[36])/144 - (95*s[37])/16 - 
       (3719*s[38])/16 + (178165*s[39])/192 - (608563*s[40])/576 + 
       (162227*s[41])/192 - (764297*s[42])/576 - (5696513*s[43])/6336 + 
       (11894881*s[44])/12672 - (100315*s[45])/88 + (53182751*s[46])/6336 - 
       (8691107*s[47])/38016 - (12345725*s[48])/38016 + 
       (155297009*s[49])/38016 - (10305635*s[50])/1584 - 
       (35743681*s[51])/38016 - (27355135*s[52])/38016 + 
       (86238007*s[53])/19008 - (241709*s[54])/3168 + 
       (370062487*s[55])/12672 + (291297803*s[56])/38016 - 
       (74411209*s[57])/14256 + (4280846401*s[58])/342144 - 
       (4351742155*s[59])/342144 - (15940054535*s[60])/228096 + 
       (11688268717*s[61])/3079296 + s[65]/6 + (2*s[66])/3 - (3*s[67])/2 + 
       (5*s[68])/12 - (53*s[69])/12 + (47*s[71])/48 - (37*s[72])/12 + 
       (11*s[73])/12 + (181*s[74])/48 - (181*s[75])/48 - (13*s[76])/6 + 
       (17*s[77])/8 - s[78]/12 - (242*s[79])/3 + (485*s[80])/24 - 
       (1127*s[82])/4 - s[83]/2 - (73*s[84])/2 - 58*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*
      ((-827*s[2])/72 + (7571*s[3])/144 - (200479*s[4])/288 - 
       (40595*s[5])/72 - (406427*s[6])/288 - (63306547*s[7])/5184 + 
       (7803923*s[8])/7776 + (40176925*s[9])/3888 + (12566261*s[10])/3888 + 
       (69003503*s[11])/5184 + (9364037*s[12])/648 + (44675149*s[13])/5184 + 
       (9484511*s[14])/5184 + (84343423*s[15])/5184 + (53316965*s[16])/2592 + 
       (9235829*s[17])/576 + (13546627*s[18])/5832 + (37642313*s[19])/23328 + 
       (570126991*s[20])/23328 + (419734949*s[21])/46656 - 
       (299866093*s[22])/46656 - (35955913*s[23])/2592 - 
       (306975467*s[24])/23328 + (3524029699*s[25])/209952 - 
       (1970788423*s[26])/209952 + (9*s[28])/8 + (55*s[29])/12 + 
       (5*s[30])/6 - (259*s[31])/36 - (407*s[32])/72 + (13*s[33])/18 + 
       (32*s[34])/9 + (449*s[35])/36 + (4369*s[36])/108 - (2395*s[37])/216 - 
       (27779*s[38])/72 + (15433*s[39])/9 - (208147*s[40])/108 + 
       (228275*s[41])/144 - (1094321*s[42])/432 - (466196*s[43])/297 + 
       (15710665*s[44])/9504 - (8843627*s[45])/4752 + (69915727*s[46])/4752 - 
       (14162891*s[47])/28512 - (9938099*s[48])/28512 + 
       (202867265*s[49])/28512 - (54342503*s[50])/4752 - 
       (50031181*s[51])/28512 - (38467273*s[52])/28512 + 
       (114711677*s[53])/14256 - (1552577*s[54])/4752 + 
       (483668395*s[55])/9504 + (129017705*s[56])/9504 - 
       (151462523*s[57])/14256 + (210951575*s[58])/9504 - 
       (643669055*s[59])/28512 - (20610585317*s[60])/171072 + 
       (1276840009*s[61])/192456 - s[63] + (3*s[64])/8 + (61*s[65])/72 + 
       (17*s[66])/9 - (77*s[67])/18 - (145*s[68])/36 - (217*s[69])/36 + 
       (353*s[70])/36 - (43*s[71])/72 - (52*s[72])/9 + s[73]/6 + 
       (65*s[74])/6 - (115*s[75])/12 + (83*s[76])/9 - (269*s[77])/18 - 
       (167*s[78])/18 - (1418*s[79])/9 + (4061*s[80])/108 - 122*s[82] - 
       (17*s[83])/12 - 64*s[84] - (169*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Omega2[v, w, u]*
      ((7*s[2])/3 - 38*s[3] - (367*s[4])/12 - (5003*s[5])/66 - 
       (5372*s[6])/33 - (1012991*s[7])/792 + (46567*s[8])/1188 + 
       (28664*s[9])/27 + (62509*s[10])/108 + (1029055*s[11])/792 + 
       (949079*s[12])/792 + (255919*s[13])/396 + (66146*s[14])/99 + 
       (151277*s[15])/72 + (1960433*s[16])/792 + (218997*s[17])/88 + 
       (16558*s[18])/81 + (57799*s[19])/162 + (2752562*s[20])/891 + 
       (2070187*s[21])/1782 - (572404*s[22])/891 - (36557*s[23])/396 - 
       (1559656*s[24])/891 + (93971635*s[25])/64152 - 
       (62039257*s[26])/64152 + (16*s[31])/3 + s[32] + 4*s[33] - 
       (32*s[34])/3 - (32*s[35])/3 - (56*s[36])/9 + (155*s[37])/9 + 
       (40*s[38])/3 - (673*s[39])/12 + (947*s[40])/36 - (49*s[41])/12 + 
       (4039*s[42])/36 - (32675*s[43])/396 + (14821*s[44])/198 - 
       (111571*s[45])/396 + (87101*s[46])/66 + (96187*s[47])/594 - 
       (398227*s[48])/1188 + (522427*s[49])/1188 - (116366*s[50])/99 + 
       (18838*s[51])/297 + (131635*s[52])/1188 + (337709*s[53])/396 + 
       (6949*s[54])/33 + (603457*s[55])/99 + (1611161*s[56])/1188 + 
       (2785012*s[57])/891 + (9794515*s[58])/10692 - (11736607*s[59])/10692 - 
       (47451617*s[60])/3564 + (36407429*s[61])/48114 + (14*s[68])/3 - 
       (14*s[69])/3 - (4*s[74])/3 + (4*s[75])/3 - (16*s[76])/3 + 
       (14*s[77])/3 + (16*s[78])/3 - (32*s[79])/3 + (112*s[80])/9 - 
       310*s[82] - 56*s[85]) + HPL[{0, 1}, 1 - v]*Ot[u, v, w]*
      ((-46*s[2])/3 - (145*s[3])/12 - (22411*s[4])/24 - (88487*s[5])/132 - 
       (55679*s[6])/33 - (36438067*s[7])/2376 + (4577729*s[8])/3564 + 
       (8390723*s[9])/648 + (1284959*s[10])/324 + (40112333*s[11])/2376 + 
       (88120691*s[12])/4752 + (52978835*s[13])/4752 + (8621065*s[14])/4752 + 
       (4373051*s[15])/216 + (122431223*s[16])/4752 + (1943063*s[17])/99 + 
       (5462839*s[18])/1944 + (2155519*s[19])/972 + (324519853*s[20])/10692 + 
       (468971605*s[21])/42768 - (345308225*s[22])/42768 - 
       (10718951*s[23])/594 - (356112049*s[24])/21384 + 
       (8296116091*s[25])/384912 - (4536307429*s[26])/384912 + 2*s[29] - 
       2*s[30] - (19*s[31])/3 + (13*s[32])/6 - (10*s[33])/3 + (29*s[34])/3 + 
       (26*s[35])/3 + (665*s[36])/18 - (1871*s[37])/36 - (3281*s[38])/6 + 
       (52763*s[39])/24 - (176189*s[40])/72 + (45883*s[41])/24 - 
       (57223*s[42])/18 - (1526335*s[43])/792 + (802595*s[44])/396 - 
       (1712743*s[45])/792 + (6782731*s[46])/396 - (224896*s[47])/297 - 
       (533387*s[48])/2376 + (20711099*s[49])/2376 - (5191667*s[50])/396 - 
       (2595587*s[51])/1188 - (4180639*s[52])/2376 + (21610795*s[53])/2376 - 
       (38648*s[54])/99 + (45595027*s[55])/792 + (1345529*s[56])/88 - 
       (38110817*s[57])/2376 + (95812513*s[58])/3564 - (24237277*s[59])/891 - 
       (996184477*s[60])/7128 + (79370843*s[61])/10692 + s[65]/6 + 
       (2*s[66])/3 - (7*s[67])/3 - (13*s[68])/3 - s[69]/3 - (4*s[70])/3 + 
       (5*s[71])/6 - (28*s[72])/3 + 6*s[73] + 10*s[74] - 10*s[75] + 
       (35*s[76])/3 + (2*s[77])/3 - (40*s[78])/3 - (578*s[79])/3 + 
       (763*s[80])/18 - 176*s[82] - s[83]/2 - 87*s[84] - 56*s[85]) + 
     HPL[{0, 1}, 1 - u]*Ot[u, v, w]*((-20*s[2])/3 - (95*s[3])/4 - 
       (21971*s[4])/24 - (85375*s[5])/132 - (107627*s[6])/66 - 
       (35161453*s[7])/2376 + (8882003*s[8])/7128 + (4040609*s[9])/324 + 
       (2471507*s[10])/648 + (77445899*s[11])/4752 + (85174117*s[12])/4752 + 
       (4267039*s[13])/396 + (4070797*s[14])/2376 + (1403639*s[15])/72 + 
       (6560711*s[16])/264 + (89855731*s[17])/4752 + (5273141*s[18])/1944 + 
       (4210687*s[19])/1944 + (624983647*s[20])/21384 + 
       (225025231*s[21])/21384 - (166338563*s[22])/21384 - 
       (27682397*s[23])/1584 - (687815143*s[24])/42768 + 
       (8022001565*s[25])/384912 - (4369832327*s[26])/384912 + 2*s[29] - 
       2*s[30] - (11*s[31])/3 + (5*s[32])/6 + (13*s[33])/3 + (13*s[34])/3 + 
       (22*s[35])/3 + (641*s[36])/18 - (223*s[37])/4 - (3193*s[38])/6 + 
       (50707*s[39])/24 - (169541*s[40])/72 + (14689*s[41])/8 - 
       (54877*s[42])/18 - (132965*s[43])/72 + (280237*s[44])/144 - 
       (50743*s[45])/24 + (596101*s[46])/36 - (315263*s[47])/432 - 
       (98801*s[48])/432 + (3607415*s[49])/432 - (456205*s[50])/36 - 
       (914431*s[51])/432 - (738403*s[52])/432 + (237200*s[53])/27 - 
       (15287*s[54])/36 + (8015285*s[55])/144 + (6406349*s[56])/432 - 
       (10011667*s[57])/648 + (101114371*s[58])/3888 - 
       (102016135*s[59])/3888 - (350185727*s[60])/2592 + 
       (31614785*s[61])/4374 + s[65]/6 + (2*s[66])/3 - (7*s[67])/3 - 
       (13*s[68])/3 - s[69]/3 - (4*s[70])/3 + (5*s[71])/6 - (20*s[72])/3 + 
       (10*s[73])/3 + (28*s[74])/3 - (28*s[75])/3 + 9*s[76] - (2*s[77])/3 - 
       (16*s[78])/3 - 182*s[79] + (257*s[80])/6 - 176*s[82] - s[83]/2 - 
       87*s[84] - 56*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*((-65*s[2])/2 - (141*s[3])/4 - (5347*s[4])/8 - 
       (36719*s[5])/44 - (155191*s[6])/88 - (23295617*s[7])/1584 + 
       (850771*s[8])/792 + (450613*s[9])/36 + (36257*s[10])/9 + 
       (2825087*s[11])/176 + (2282111*s[12])/132 + (16257625*s[13])/1584 + 
       (504203*s[14])/176 + (2818331*s[15])/144 + (4913855*s[16])/198 + 
       (31188701*s[17])/1584 + (106307*s[18])/36 + (47081*s[19])/24 + 
       (23846435*s[20])/792 + (53972747*s[21])/4752 - (36567851*s[22])/4752 - 
       (6055145*s[23])/396 - (9539041*s[24])/594 + (212892533*s[25])/10692 - 
       (122655311*s[26])/10692 + s[27] + 8*s[29] - 10*s[31] - s[32] + 
       (67*s[33])/4 + 5*s[34] + 2*s[35] + (109*s[36])/3 - (87*s[37])/2 - 
       329*s[38] + (4893*s[39])/4 - (15907*s[40])/12 + (3945*s[41])/4 - 
       (20609*s[42])/12 - (146405*s[43])/132 + (35924*s[44])/33 - 
       (16865*s[45])/11 + (1402163*s[46])/132 - (179515*s[47])/396 - 
       (12349*s[48])/99 + (1918561*s[49])/396 - (260219*s[50])/33 - 
       (122612*s[51])/99 - (407933*s[52])/396 + (2244259*s[53])/396 - 
       (36227*s[54])/66 + (2389019*s[55])/66 + (3955609*s[56])/396 - 
       (9724777*s[57])/1188 + (58492253*s[58])/3564 - (29265625*s[59])/1782 - 
       (202981771*s[60])/2376 + (325453765*s[61])/64152 + s[65] - 10*s[68] + 
       2*s[69] - 7*s[70] - 6*s[72] + 4*s[73] + (9*s[74])/2 - (11*s[75])/2 + 
       11*s[76] + 6*s[77] - 8*s[78] + 32*s[79] - 12*s[80] - 112*s[82] - 
       9*s[83] - 18*s[84] - 56*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u]*(-56*s[2] + (103*s[3])/4 - (5411*s[4])/8 - 
       (9786*s[5])/11 - (162477*s[6])/88 - (25057133*s[7])/1584 + 
       (2712311*s[8])/2376 + (366008*s[9])/27 + (470365*s[10])/108 + 
       (27257207*s[11])/1584 + (1828336*s[12])/99 + (5776087*s[13])/528 + 
       (5105423*s[14])/1584 + (1020977*s[15])/48 + (294265*s[16])/11 + 
       (33821257*s[17])/1584 + (255409*s[18])/81 + (1306147*s[19])/648 + 
       (232712791*s[20])/7128 + (177143225*s[21])/14256 - 
       (118868053*s[22])/14256 - (2179721*s[23])/132 - 
       (30684113*s[24])/1782 + (1362180577*s[25])/64152 - 
       (796046773*s[26])/64152 - s[28] + 4*s[29] - 2*s[30] - 8*s[31] + 
       5*s[32] + s[33]/4 + 8*s[34] + 3*s[35] + 21*s[36] - (287*s[37])/6 - 
       481*s[38] + 1917*s[39] - 2144*s[40] + 1654*s[41] - 2737*s[42] - 
       (19733*s[43])/11 + (157395*s[44])/88 - (76471*s[45])/33 + 
       (555916*s[46])/33 - (170041*s[47])/264 - (99421*s[48])/264 + 
       (2087215*s[49])/264 - (139863*s[50])/11 - (496717*s[51])/264 - 
       (409199*s[52])/264 + (3571919*s[53])/396 - (19367*s[54])/33 + 
       (15247085*s[55])/264 + (12521759*s[56])/792 - (15326605*s[57])/1188 + 
       (184746505*s[58])/7128 - (186136897*s[59])/7128 - 
       (217632125*s[60])/1584 + (125244763*s[61])/16038 - 2*s[63] + s[65] - 
       s[67] - 12*s[68] + 6*s[69] - 11*s[70] - 10*s[72] + 14*s[73] + 
       (11*s[74])/2 - (11*s[75])/2 + 9*s[76] + 6*s[77] - 6*s[78] - 
       120*s[79] + (100*s[80])/3 - 112*s[82] - 9*s[83] - 18*s[84] - 
       56*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - u]*((29*s[2])/6 + (191*s[3])/4 + (2575*s[4])/24 - 
       (22597*s[5])/132 + (12487*s[6])/264 - (5960285*s[7])/4752 - 
       (120523*s[8])/7128 + (411965*s[9])/324 + (54070*s[10])/81 + 
       (5585123*s[11])/4752 + (580199*s[12])/594 + (57019*s[13])/176 + 
       (3760847*s[14])/4752 + (322349*s[15])/144 + (226991*s[16])/99 + 
       (11678869*s[17])/4752 + (135767*s[18])/486 + (588805*s[19])/1944 + 
       (75054151*s[20])/21384 + (63083441*s[21])/42768 - 
       (30402205*s[22])/42768 + (96779*s[23])/132 - (17929261*s[24])/10692 + 
       (101876453*s[25])/96228 - (45941359*s[26])/48114 - 2*s[29] - 
       (2*s[31])/3 + (35*s[32])/6 - (47*s[33])/12 - (8*s[34])/3 - 
       (5*s[35])/3 - (140*s[36])/9 + (61*s[37])/6 - (86*s[38])/3 + 
       (263*s[39])/12 - (1033*s[40])/36 + (137*s[41])/4 + (469*s[42])/9 - 
       (45599*s[43])/396 + (17293*s[44])/198 - (14855*s[45])/33 + 
       (810017*s[46])/396 + (142655*s[47])/1188 - (54616*s[48])/297 + 
       (226966*s[49])/297 - (378151*s[50])/198 + (40519*s[51])/1188 + 
       (90535*s[52])/1188 + (403921*s[53])/297 + (35921*s[54])/99 + 
       (3784063*s[55])/396 + (947873*s[56])/594 + (3981260*s[57])/891 + 
       (15857747*s[58])/10692 - (5216348*s[59])/2673 - 
       (36457471*s[60])/1782 + (195555913*s[61])/192456 - s[65]/3 - 
       (4*s[66])/3 + (8*s[67])/3 + (11*s[68])/3 + (11*s[69])/3 + 
       (2*s[70])/3 - (5*s[71])/3 - (2*s[72])/3 - (68*s[73])/3 - 
       (13*s[74])/6 + (13*s[75])/6 + (4*s[77])/3 + (2*s[78])/3 + 4*s[79] + 
       (50*s[80])/3 - 392*s[82] + s[83] + 18*s[84] - 56*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - w]*
      (-5*s[2] - (475*s[3])/36 - (6559*s[4])/16 - (57191*s[5])/176 - 
       (399595*s[6])/528 - (66940853*s[7])/9504 + (437689*s[8])/792 + 
       5970*s[9] + (276761*s[10])/144 + (24435959*s[11])/3168 + 
       (8835613*s[12])/1056 + (2968345*s[13])/594 + (2989181*s[14])/3168 + 
       (8188733*s[15])/864 + (14214401*s[16])/1188 + (88726631*s[17])/9504 + 
       (3368011*s[18])/2592 + (2770313*s[19])/2592 + (402924083*s[20])/
        28512 + (73725581*s[21])/14256 - (8814655*s[22])/2376 - 
       (37923835*s[23])/4752 - (73631441*s[24])/9504 + 
       (2503371295*s[25])/256608 - (1390028275*s[26])/256608 + s[30]/2 - 
       (5*s[31])/3 + s[32]/8 - (55*s[33])/48 + (25*s[34])/12 + (17*s[35])/9 + 
       (385*s[36])/24 - s[37]/8 - (1851*s[38])/8 + (276773*s[39])/288 - 
       (312641*s[40])/288 + (254131*s[41])/288 - (397543*s[42])/288 - 
       (2853811*s[43])/3168 + (996905*s[44])/1056 - (282353*s[45])/264 + 
       (26004197*s[46])/3168 - (756871*s[47])/3168 - (408977*s[48])/1584 + 
       (13208375*s[49])/3168 - (2547755*s[50])/396 - (487571*s[51])/528 - 
       (7932*s[52])/11 + (42500209*s[53])/9504 + (7235*s[54])/88 + 
       (45069017*s[55])/1584 + (69029879*s[56])/9504 - 
       (164304119*s[57])/28512 + (527072339*s[58])/42768 - 
       (541291079*s[59])/42768 - (1297186525*s[60])/19008 + 
       (1391306783*s[61])/384912 + (8*s[68])/3 - (8*s[69])/3 - (5*s[70])/6 + 
       (13*s[71])/24 - (10*s[72])/3 + (65*s[74])/18 - (65*s[75])/18 + 
       (13*s[76])/18 + (73*s[77])/18 - (5*s[78])/6 - (165*s[79])/2 + 
       (73*s[80])/4 - (1277*s[82])/6 - 40*s[84] - (164*s[85])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u]*
      ((-69*s[2])/8 - (1241*s[3])/16 - (139639*s[4])/288 - 
       (161929*s[5])/528 - (979093*s[6])/1056 - (150072563*s[7])/19008 + 
       (19007539*s[8])/28512 + (4230155*s[9])/648 + (2938235*s[10])/1296 + 
       (163713169*s[11])/19008 + (11068283*s[12])/1188 + 
       (105517403*s[13])/19008 + (21712213*s[14])/19008 + 
       (18532465*s[15])/1728 + (32270599*s[16])/2376 + 
       (68367809*s[17])/6336 + (354065*s[18])/243 + (10006727*s[19])/7776 + 
       (1355729033*s[20])/85536 + (979277803*s[21])/171072 - 
       (698399927*s[22])/171072 - (41242801*s[23])/4752 - 
       (378065363*s[24])/42768 + (262813261*s[25])/24057 - 
       (2329644241*s[26])/384912 + s[29] + s[31] - s[32]/2 + (35*s[33])/16 - 
       6*s[34] + s[35]/12 + (133*s[36])/12 - (113*s[37])/36 - 
       (2483*s[38])/12 + (63913*s[39])/72 - (72847*s[40])/72 + 
       (59149*s[41])/72 - (182747*s[42])/144 - (707231*s[43])/792 + 
       (954743*s[44])/1056 - (1831465*s[45])/1584 + (4475279*s[46])/528 - 
       (1806595*s[47])/9504 - (3329083*s[48])/9504 + (38561179*s[49])/9504 - 
       (5221265*s[50])/792 - (885425*s[51])/1056 - (6302465*s[52])/9504 + 
       (11026397*s[53])/2376 - (9617*s[54])/132 + (282787697*s[55])/9504 + 
       (24763315*s[56])/3168 - (22157767*s[57])/4752 + 
       (118306271*s[58])/9504 - (4480779*s[59])/352 - 
       (4028682619*s[60])/57024 + (1007341889*s[61])/256608 + (3*s[65])/4 - 
       (3*s[67])/2 - s[68] - (13*s[69])/4 - 3*s[70] - (3*s[71])/4 - 
       (11*s[72])/2 + 3*s[73] + (43*s[74])/24 - (43*s[75])/24 + 
       (25*s[76])/12 + (37*s[77])/12 - (11*s[78])/2 - 75*s[79] + 
       (343*s[80])/12 - 255*s[82] - (3*s[83])/4 - (39*s[84])/2 - 54*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((69*s[2])/4 - (491*s[3])/8 - (911*s[4])/48 + (6829*s[5])/176 + 
       (2351*s[6])/176 - (53443*s[7])/1056 + (727*s[8])/176 - 
       (1279*s[9])/24 + (12347*s[10])/48 - (13301*s[11])/264 - 
       (232171*s[12])/1056 - (239221*s[13])/1056 + (228425*s[14])/1056 + 
       (66451*s[15])/96 + (266029*s[16])/528 + (82333*s[17])/88 - 
       (8393*s[18])/72 + (23051*s[19])/72 + (696451*s[20])/1584 + 
       (172375*s[21])/3168 + (32995*s[22])/1056 + (927953*s[23])/1056 - 
       (512191*s[24])/1056 - (1117621*s[25])/14256 + (127297*s[26])/14256 + 
       4*s[29] - 2*s[30] + 15*s[31] + s[32]/4 + (17*s[33])/2 - (35*s[34])/2 - 
       (55*s[35])/2 + (41*s[36])/6 + (449*s[37])/12 + 47*s[38] - 
       (1505*s[39])/6 + 253*s[40] - (1157*s[41])/6 + (9247*s[42])/24 + 
       (1079*s[43])/22 - (30839*s[44])/264 - (10577*s[45])/88 - 
       (20215*s[46])/264 + (67753*s[47])/264 - (92891*s[48])/264 - 
       (18847*s[49])/88 - (12499*s[50])/88 + (222017*s[51])/792 + 
       (23355*s[52])/88 + (59473*s[53])/264 + (51697*s[54])/132 + 
       (1604201*s[55])/792 + (4651*s[56])/88 + (474281*s[57])/88 - 
       (205633*s[58])/132 + (145547*s[59])/132 - (3535937*s[60])/1584 + 
       (193045*s[61])/1584 - s[62]/2 + s[65] + 4*s[66] - 6*s[67] + 5*s[68] - 
       17*s[69] + s[70]/2 + (3*s[71])/2 - 2*s[72] + 6*s[73] - s[74]/2 + 
       s[75]/2 - 13*s[76] + 10*s[77] - 2*s[78] + 18*s[79] - (7*s[80])/3 - 
       168*s[82] - 3*s[83] + 18*s[84] - 54*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((7*s[2])/2 - (533*s[3])/8 - (1073*s[4])/48 + (36041*s[5])/176 + 
       (34927*s[6])/176 + (1620109*s[7])/1056 - (32335*s[8])/1584 - 
       (107677*s[9])/72 - (49567*s[10])/144 - (285949*s[11])/176 - 
       (581861*s[12])/352 - (1026323*s[13])/1056 - (204183*s[14])/352 - 
       (187321*s[15])/96 - (642761*s[16])/264 - (1046521*s[17])/528 - 
       (112817*s[18])/216 + (32279*s[19])/216 - (16093841*s[20])/4752 - 
       (15959569*s[21])/9504 + (8226281*s[22])/9504 + (2116775*s[23])/1056 + 
       (12327743*s[24])/9504 - (74297093*s[25])/42768 + 
       (57843743*s[26])/42768 + 4*s[29] - (5*s[30])/2 + 8*s[31] + 3*s[32] + 
       (29*s[33])/8 - (21*s[34])/2 - (15*s[35])/2 + 4*s[36] + 
       (313*s[37])/12 + (461*s[38])/6 - (2681*s[39])/8 + (2721*s[40])/8 - 
       (6629*s[41])/24 + (1478*s[42])/3 + (49129*s[43])/264 - 
       (47087*s[44])/264 + (19889*s[45])/264 - (55411*s[46])/44 + 
       (181217*s[47])/792 - (104405*s[48])/396 - (612731*s[49])/792 + 
       (65397*s[50])/88 + (12669*s[51])/44 + (61927*s[52])/198 - 
       (447989*s[53])/792 + (44717*s[54])/132 - (259107*s[55])/88 - 
       (426607*s[56])/396 + (2949809*s[57])/594 - (21176521*s[58])/7128 + 
       (2583290*s[59])/891 + (37594883*s[60])/4752 - 
       (49337645*s[61])/128304 + s[65] + 4*s[66] - 6*s[67] + 5*s[68] - 
       17*s[69] + s[70] - s[71] - 2*s[72] + 6*s[73] + s[74]/2 - s[75]/2 - 
       5*s[76] + (19*s[77])/2 - 6*s[78] + 24*s[79] + s[80]/6 - 168*s[82] - 
       3*s[83] + 18*s[84] - 54*s[85]) + HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 0, 1, 1}, 1 - u]*((25*s[2])/2 - (233*s[3])/8 + 
       (263*s[4])/48 + (2119*s[5])/528 + (1121*s[6])/88 - 
       (392897*s[7])/3168 - (74537*s[8])/1188 + (37577*s[9])/432 + 
       (125359*s[10])/432 + (142225*s[11])/3168 - (202955*s[12])/1584 - 
       (480763*s[13])/3168 + (1364251*s[14])/3168 + (174413*s[15])/288 + 
       (213793*s[16])/396 + (933235*s[17])/1056 - (45455*s[18])/1296 + 
       (296495*s[19])/1296 + (11255963*s[20])/14256 + (8995819*s[21])/28512 - 
       (1251461*s[22])/28512 + (254315*s[23])/198 - (3999833*s[24])/7128 - 
       (31140449*s[25])/256608 - (24517279*s[26])/256608 + s[27]/2 + 
       4*s[29] - (3*s[30])/2 + 14*s[31] + (71*s[33])/8 - 16*s[34] - 
       (31*s[35])/2 - (7*s[36])/2 + (557*s[37])/12 + (119*s[38])/3 - 
       (3635*s[39])/12 + (3731*s[40])/12 - (4897*s[41])/24 + (3863*s[42])/8 + 
       (3599*s[43])/44 - (29847*s[44])/176 - (16375*s[45])/264 - 
       (151885*s[46])/264 + (399577*s[47])/1584 - (620387*s[48])/1584 - 
       (765529*s[49])/1584 + (28663*s[50])/88 + (156089*s[51])/528 + 
       (429245*s[52])/1584 - (20533*s[53])/99 + (21179*s[54])/66 - 
       (741533*s[55])/1584 - (375433*s[56])/1584 + (2759513*s[57])/594 - 
       (27204179*s[58])/14256 + (25343537*s[59])/14256 + 
       (21869365*s[60])/9504 - (1479725*s[61])/32076 + s[65] + 4*s[66] - 
       6*s[67] + 2*s[68] - 14*s[69] - 3*s[70] + (9*s[71])/2 - 2*s[72] + 
       6*s[73] - 2*s[74] + 2*s[75] - 13*s[76] + (15*s[77])/2 + 4*s[78] + 
       28*s[79] - (107*s[80])/6 - 115*s[82] - 3*s[83] + 18*s[84] - 
       54*s[85]) + HPL[{1}, 1 - w]^2*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((-29*s[2])/4 - (345*s[3])/8 + (959*s[4])/48 + (4091*s[5])/48 + 
       (983*s[6])/8 + (298079*s[7])/288 - (1847*s[8])/72 - 
       (142351*s[9])/144 - (35177*s[10])/144 - (108131*s[11])/96 - 
       (19021*s[12])/16 - (218305*s[13])/288 - (6955*s[14])/32 - 
       (127847*s[15])/96 - (229949*s[16])/144 - (348593*s[17])/288 - 
       (9521*s[18])/48 - (11597*s[19])/144 - (102181*s[20])/48 - 
       (786581*s[21])/864 + (511307*s[22])/864 + (144463*s[23])/144 + 
       (452395*s[24])/432 - (10658819*s[25])/7776 + (6809771*s[26])/7776 + 
       4*s[29] + 3*s[31] + (11*s[32])/4 + (19*s[33])/4 - (5*s[34])/2 + 
       5*s[35] + (53*s[36])/12 + (77*s[37])/6 + (307*s[38])/6 - 
       (2315*s[39])/12 + (823*s[40])/4 - (3319*s[41])/24 + (6451*s[42])/24 + 
       (17315*s[43])/132 - (7285*s[44])/66 + (741*s[45])/11 - 
       (37707*s[46])/44 + (54001*s[47])/792 - (93707*s[48])/792 - 
       (448861*s[49])/792 + (136393*s[50])/264 + (96115*s[51])/792 + 
       (77623*s[52])/396 - (4580*s[53])/11 + (7841*s[54])/44 - 
       (458395*s[55])/198 - (432545*s[56])/792 + (5096075*s[57])/2376 - 
       (2954947*s[58])/1782 + (3020377*s[59])/1782 + (30212755*s[60])/4752 - 
       (5444735*s[61])/32076 + s[65] + 4*s[66] - 6*s[67] + 2*s[68] - 
       14*s[69] - (9*s[70])/2 - s[71] - 2*s[72] + 6*s[73] + s[74]/2 - 
       s[75]/2 - 5*s[76] + 9*s[77] - 6*s[78] + 48*s[79] - 10*s[80] - 
       115*s[82] - 3*s[83] + 18*s[84] - 54*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*
      ((-273*s[2])/32 - (2101*s[3])/64 - (218597*s[4])/384 - 
       (446477*s[5])/1056 - (4569487*s[6])/4224 - (244268543*s[7])/25344 + 
       (9931481*s[8])/12672 + (4678337*s[9])/576 + (1481647*s[10])/576 + 
       (29784013*s[11])/2816 + (24392267*s[12])/2112 + 
       (175375315*s[13])/25344 + (10942387*s[14])/8448 + 
       (29498413*s[15])/2304 + (51575651*s[16])/3168 + 
       (318764135*s[17])/25344 + (772985*s[18])/432 + (4906493*s[19])/3456 + 
       (731835281*s[20])/38016 + (177087523*s[21])/25344 - 
       (384485173*s[22])/76032 - (1077965*s[23])/99 - 
       (200535451*s[24])/19008 + (191546045*s[25])/14256 - 
       (211530625*s[26])/28512 + s[29]/2 - (53*s[30])/48 - (43*s[31])/12 + 
       (25*s[32])/16 - (7*s[33])/8 + (199*s[34])/48 + (689*s[35])/144 + 
       (1697*s[36])/72 - (681*s[37])/32 - 313*s[38] + (739453*s[39])/576 - 
       (830573*s[40])/576 + (657755*s[41])/576 - (266509*s[42])/144 - 
       (7443211*s[43])/6336 + (15557669*s[44])/12672 - (8983471*s[45])/6336 + 
       (11381081*s[46])/1056 - (14679611*s[47])/38016 - 
       (10092281*s[48])/38016 + (202739507*s[49])/38016 - 
       (26254487*s[50])/3168 - (48231187*s[51])/38016 - 
       (38779495*s[52])/38016 + (36564541*s[53])/6336 - (18157*s[54])/99 + 
       (466472789*s[55])/12672 + (370239745*s[56])/38016 - 
       (486530777*s[57])/57024 + (5656979153*s[58])/342144 - 
       (5731940351*s[59])/342144 - (20206427951*s[60])/228096 + 
       (14786336267*s[61])/3079296 + s[65]/12 + s[66]/3 - (2*s[67])/3 - 
       (5*s[68])/8 - (11*s[69])/24 - s[70]/6 + (35*s[71])/48 - (33*s[72])/8 - 
       (11*s[73])/24 + (1571*s[74])/288 - (1571*s[75])/288 + (445*s[76])/72 + 
       (179*s[77])/144 - (45*s[78])/8 - (1219*s[79])/12 + (925*s[80])/48 - 
       (664*s[82])/3 - s[83]/4 - (209*s[84])/4 - (161*s[85])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((2717*s[2])/144 - (2555*s[3])/288 + (63455*s[4])/64 + 
       (2784077*s[5])/3168 + (12319843*s[6])/6336 + (1956147563*s[7])/
        114048 - (239642827*s[8])/171072 - (113564209*s[9])/7776 - 
       (32532611*s[10])/7776 - (2152561567*s[11])/114048 - 
       (592105361*s[12])/28512 - (1415320721*s[13])/114048 - 
       (251136691*s[14])/114048 - (232773709*s[15])/10368 - 
       (1627005541*s[16])/57024 - (818984707*s[17])/38016 - 
       (41435761*s[18])/11664 - (88512071*s[19])/46656 - 
       (17515660475*s[20])/513216 - (13191801325*s[21])/1026432 + 
       (9284272181*s[22])/1026432 + (1237224995*s[23])/57024 + 
       (9184750921*s[24])/513216 - (110111950379*s[25])/4618944 + 
       (62301639863*s[26])/4618944 + (5*s[29])/6 - (25*s[30])/24 + 
       (137*s[31])/9 + s[32]/72 + (1721*s[33])/144 - (1991*s[34])/72 - 
       (341*s[35])/72 - (4469*s[36])/108 + (21791*s[37])/216 + 
       (46067*s[38])/72 - (776233*s[39])/288 + (2544187*s[40])/864 - 
       (73185*s[41])/32 + (1710271*s[42])/432 + (20714597*s[43])/9504 - 
       (43988155*s[44])/19008 + (675205*s[45])/297 - (180477511*s[46])/9504 + 
       (66359957*s[47])/57024 - (12484897*s[48])/57024 - 
       (552847637*s[49])/57024 + (67180951*s[50])/4752 + 
       (153343393*s[51])/57024 + (128616241*s[52])/57024 - 
       (281333417*s[53])/28512 + (5349283*s[54])/4752 - 
       (1175480809*s[55])/19008 - (326104561*s[56])/19008 + 
       (37540871*s[57])/1584 - (5387107951*s[58])/171072 + 
       (5392560121*s[59])/171072 + (51414065111*s[60])/342144 - 
       (12563850899*s[61])/1539648 + s[64]/2 + (2*s[65])/9 - s[66]/9 - 
       (7*s[67])/9 + (139*s[68])/18 - (95*s[69])/18 - (76*s[70])/9 + 
       (19*s[71])/36 + (617*s[72])/36 - (35*s[73])/4 - (565*s[74])/48 + 
       (601*s[75])/48 - (727*s[76])/36 + (763*s[77])/72 + (773*s[78])/36 + 
       (1657*s[79])/9 - (3721*s[80])/108 - 169*s[82] + (55*s[83])/12 + 
       59*s[84] - (157*s[85])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]^2*(-7*s[2] + (51*s[3])/32 - (12519*s[4])/64 - 
       (4869*s[5])/32 - (24819*s[6])/64 - (3965867*s[7])/1152 + 
       (541109*s[8])/1728 + (2522395*s[9])/864 + (386041*s[10])/432 + 
       (4332437*s[11])/1152 + (2368385*s[12])/576 + (937895*s[13])/384 + 
       (478211*s[14])/1152 + (1745413*s[15])/384 + (1113389*s[16])/192 + 
       (5144119*s[17])/1152 + (1746455*s[18])/2592 + (2179379*s[19])/5184 + 
       (35426857*s[20])/5184 + (25951805*s[21])/10368 - 
       (18822673*s[22])/10368 - (102883*s[23])/24 - (9407353*s[24])/2592 + 
       (111499925*s[25])/23328 - (15468803*s[26])/5832 - (5*s[30])/4 - 
       (9*s[31])/2 + (9*s[32])/8 - (23*s[33])/16 + (13*s[34])/4 - 
       (7*s[35])/6 + (75*s[36])/8 - (641*s[37])/32 - (1439*s[38])/16 + 
       (2857*s[39])/6 - (3235*s[40])/6 + (40187*s[41])/96 - 
       (69221*s[42])/96 - (109685*s[43])/264 + (475307*s[44])/1056 - 
       (363457*s[45])/704 + (2825087*s[46])/704 - (83621*s[47])/528 - 
       (10939*s[48])/264 + (331781*s[49])/176 - (410161*s[50])/132 - 
       (160601*s[51])/352 - (127841*s[52])/352 + (1547651*s[53])/704 - 
       (161197*s[54])/1056 + (4864361*s[55])/352 + (1329261*s[56])/352 - 
       (1215679*s[57])/352 + (39393635*s[58])/6336 - (4997191*s[59])/792 - 
       (412763195*s[60])/12672 + (7747907*s[61])/4224 - s[68] + s[69] + 
       3*s[70] - (25*s[71])/16 - (9*s[72])/2 - s[73]/2 + (43*s[74])/24 - 
       (23*s[75])/12 + (25*s[76])/3 - (13*s[77])/6 - 6*s[78] - 52*s[79] + 
       (847*s[80])/48 - (945*s[82])/4 + (9*s[83])/16 - (315*s[84])/8 - 
       52*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]^2*
      ((-11*s[2])/2 - (99*s[3])/8 - (43913*s[4])/96 - (138317*s[5])/352 - 
       (325005*s[6])/352 - (26269235*s[7])/3168 + (772247*s[8])/1188 + 
       (3040555*s[9])/432 + (1960831*s[10])/864 + (57263467*s[11])/6336 + 
       (61938629*s[12])/6336 + (1019639*s[13])/176 + (4061591*s[14])/3168 + 
       (133777*s[15])/12 + (14869769*s[16])/1056 + (70267661*s[17])/6336 + 
       (4104175*s[18])/2592 + (380773*s[19])/324 + (239374123*s[20])/14256 + 
       (88152415*s[21])/14256 - (31095541*s[22])/7128 - 
       (19630979*s[23])/2112 - (515040203*s[24])/57024 + 
       (1458742531*s[25])/128304 - (820123933*s[26])/128304 - s[30]/4 - 
       (3*s[31])/2 + (3*s[32])/16 - (25*s[33])/16 - (3*s[34])/4 + s[35]/3 + 
       (419*s[36])/24 - (405*s[37])/32 - (5831*s[38])/24 + 
       (102445*s[39])/96 - (39059*s[40])/32 + (93517*s[41])/96 - 
       (149113*s[42])/96 - (1045255*s[43])/1056 + (2223487*s[44])/2112 - 
       (2705477*s[45])/2112 + (6700635*s[46])/704 - (1885349*s[47])/6336 - 
       (1698371*s[48])/6336 + (28767311*s[49])/6336 - (2604959*s[50])/352 - 
       (6709103*s[51])/6336 - (5299201*s[52])/6336 + (32835631*s[53])/6336 - 
       (14755*s[54])/132 + (69801487*s[55])/2112 + (18442393*s[56])/2112 - 
       (5260921*s[57])/792 + (136454557*s[58])/9504 - 
       (276563939*s[59])/19008 - (746597297*s[60])/9504 + 
       (493657289*s[61])/114048 + s[64]/8 + s[65]/16 + s[66]/4 - s[67]/2 + 
       s[68]/2 - (3*s[69])/2 + (11*s[70])/8 - (9*s[72])/2 - s[73]/2 + 
       (121*s[74])/24 - (109*s[75])/24 + (61*s[76])/12 + (17*s[77])/24 - 
       3*s[78] - 106*s[79] + (427*s[80])/16 - (945*s[82])/4 + (9*s[83])/16 - 
       (315*s[84])/8 - 52*s[85]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*(-4*s[2] - (1087*s[3])/48 - (25057*s[4])/96 - 
       (14811*s[5])/88 - (501107*s[6])/1056 - (19830643*s[7])/4752 + 
       (4652921*s[8])/14256 + (9096653*s[9])/2592 + (2940577*s[10])/2592 + 
       (21987643*s[11])/4752 + (48379975*s[12])/9504 + (3224003*s[13])/1056 + 
       (5006363*s[14])/9504 + (129541*s[15])/24 + (22325387*s[16])/3168 + 
       (50449441*s[17])/9504 + (3150581*s[18])/3888 + (1172255*s[19])/1944 + 
       (178303313*s[20])/21384 + (257839487*s[21])/85536 - 
       (187991893*s[22])/85536 - (627047*s[23])/132 - 
       (98110849*s[24])/21384 + (564928351*s[25])/96228 - 
       (1238816575*s[26])/384912 - s[30]/3 - (2*s[31])/3 - (7*s[32])/24 + 
       (23*s[33])/24 - (11*s[34])/6 + (11*s[35])/18 + (205*s[36])/24 + 
       (161*s[37])/72 - (3619*s[38])/24 + (167185*s[39])/288 - 
       (189853*s[40])/288 + (155045*s[41])/288 - (234161*s[42])/288 - 
       (1761983*s[43])/3168 + (929377*s[44])/1584 - (134363*s[45])/198 + 
       (16088921*s[46])/3168 - (1458*s[47])/11 - (72231*s[48])/352 + 
       (8122337*s[49])/3168 - (3136613*s[50])/792 - (151859*s[51])/264 - 
       (1437157*s[52])/3168 + (25548691*s[53])/9504 + (70805*s[54])/1584 + 
       (54455429*s[55])/3168 + (42614483*s[56])/9504 - 
       (108163361*s[57])/28512 + (329361347*s[58])/42768 - 
       (165263077*s[59])/21384 - (806137393*s[60])/19008 + 
       (867162047*s[61])/384912 - s[66] + s[67] + (5*s[68])/6 + s[69]/6 + 
       (5*s[71])/8 - (4*s[72])/3 - 2*s[73] + (25*s[74])/18 - (25*s[75])/18 + 
       (31*s[76])/9 + (17*s[77])/18 - (4*s[78])/3 - (91*s[79])/2 + 
       (149*s[80])/36 - (653*s[82])/3 - 28*s[84] - (154*s[85])/3) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      ((-523*s[2])/96 - (4801*s[3])/192 - (181295*s[4])/384 - 
       (67145*s[5])/192 - (116287*s[6])/128 - (6093145*s[7])/768 + 
       (6761233*s[8])/10368 + (34610063*s[9])/5184 + (11019073*s[10])/5184 + 
       (60055489*s[11])/6912 + (16373261*s[12])/1728 + 
       (39067399*s[13])/6912 + (7891213*s[14])/6912 + (72994981*s[15])/6912 + 
       (46442141*s[16])/3456 + (72089167*s[17])/6912 + (5851405*s[18])/3888 + 
       (35253799*s[19])/31104 + (494979953*s[20])/31104 + 
       (360503539*s[21])/62208 - (258672515*s[22])/62208 - 
       (31206691*s[23])/3456 - (269368249*s[24])/31104 + 
       (3081922967*s[25])/279936 - (1711307783*s[26])/279936 + s[29]/4 - 
       (43*s[30])/48 - (13*s[31])/12 + (25*s[32])/48 + (113*s[33])/96 - 
       (37*s[34])/16 + (109*s[35])/144 + (1081*s[36])/72 - (125*s[37])/6 - 
       (11585*s[38])/48 + (594653*s[39])/576 - (674773*s[40])/576 + 
       (534361*s[41])/576 - (216353*s[42])/144 - (5890883*s[43])/6336 + 
       (12593425*s[44])/12672 - (3594257*s[45])/3168 + 
       (55081439*s[46])/6336 - (12503443*s[47])/38016 - 
       (7200673*s[48])/38016 + (160611835*s[49])/38016 - 
       (21150457*s[50])/3168 - (39457391*s[51])/38016 - 
       (31526027*s[52])/38016 + (88407163*s[53])/19008 - 
       (246259*s[54])/1056 + (125182025*s[55])/4224 + 
       (100956095*s[56])/12672 - (7595539*s[57])/1056 + 
       (1531222061*s[58])/114048 - (1542767003*s[59])/114048 - 
       (16238299669*s[60])/228096 + (4014973957*s[61])/1026432 + s[65]/24 + 
       s[66]/6 - s[67]/3 - (9*s[68])/8 + (11*s[69])/24 + s[70]/6 + s[71]/12 - 
       (91*s[72])/24 - (5*s[73])/8 + (1153*s[74])/288 - (1153*s[75])/288 + 
       (293*s[76])/72 + (43*s[77])/144 - (35*s[78])/8 - (617*s[79])/6 + 
       (1127*s[80])/36 - (1375*s[82])/6 - s[83]/8 - 43*s[84] - 
       (151*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - v]*(s[2] - (67*s[3])/2 - (77*s[4])/2 - 
       (743*s[5])/11 - (6581*s[6])/44 - (164513*s[7])/132 + 
       (21701*s[8])/396 + (37171*s[9])/36 + (4781*s[10])/9 + 
       (335657*s[11])/264 + (317059*s[12])/264 + (85061*s[13])/132 + 
       (35879*s[14])/66 + (24253*s[15])/12 + (156769*s[16])/66 + 
       (204361*s[17])/88 + (5495*s[18])/27 + (17669*s[19])/54 + 
       (3470227*s[20])/1188 + (322966*s[21])/297 - (744431*s[22])/1188 - 
       (96917*s[23])/264 - (3909349*s[24])/2376 + (31444133*s[25])/21384 - 
       (20088005*s[26])/21384 + 4*s[31] + s[32] + 3*s[33] - 8*s[34] - 
       (49*s[35])/6 - (37*s[36])/6 + (47*s[37])/3 + 11*s[38] - 
       (105*s[39])/4 + (11*s[40])/12 + (57*s[41])/4 + (691*s[42])/12 - 
       (11135*s[43])/132 + (20287*s[44])/264 - (34585*s[45])/132 + 
       (14335*s[46])/11 + (99775*s[47])/792 - (209831*s[48])/792 + 
       (350753*s[49])/792 - (37715*s[50])/33 + (29819*s[51])/792 + 
       (61679*s[52])/792 + (9274*s[53])/11 + (3787*s[54])/22 + 
       (1552409*s[55])/264 + (1034779*s[56])/792 + (749326*s[57])/297 + 
       (7469831*s[58])/7128 - (8806619*s[59])/7128 - (60120701*s[60])/4752 + 
       (23473381*s[61])/32076 + 4*s[68] - 4*s[69] - s[74] + s[75] - 4*s[76] + 
       4*s[77] + 4*s[78] - 8*s[79] + (28*s[80])/3 - 258*s[82] - 48*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
      ((31*s[2])/6 - 73*s[3] - (1175*s[4])/2 - (6737*s[5])/88 - 
       (140267*s[6])/264 - (4631489*s[7])/792 + (1629503*s[8])/2376 + 
       (1010227*s[9])/216 + (316265*s[10])/216 + (5164261*s[11])/792 + 
       (5836265*s[12])/792 + (881825*s[13])/198 - (129289*s[14])/396 + 
       (48211*s[15])/6 + (7997087*s[16])/792 + (990007*s[17])/132 + 
       (396575*s[18])/648 + (467513*s[19])/324 + (19013083*s[20])/1782 + 
       (23226493*s[21])/7128 - (10730143*s[22])/3564 - (6366301*s[23])/792 - 
       (48202169*s[24])/7128 + (1147534103*s[25])/128304 - 
       (545282975*s[26])/128304 + 6*s[29] - 6*s[30] + 10*s[31] + 5*s[32] - 
       3*s[33] - 9*s[34] + 10*s[35] + (79*s[36])/3 - (89*s[37])/4 - 
       (369*s[38])/2 + 797*s[39] - (2626*s[40])/3 + (2603*s[41])/4 - 
       (14021*s[42])/12 - (20930*s[43])/33 + (193027*s[44])/264 - 
       (180491*s[45])/264 + (507751*s[46])/88 - (245815*s[47])/792 + 
       (73229*s[48])/792 + (2494849*s[49])/792 - (50730*s[50])/11 - 
       (606829*s[51])/792 - (438743*s[52])/792 + (2563405*s[53])/792 + 
       (34061*s[54])/132 + (5319343*s[55])/264 + (3796273*s[56])/792 - 
       (3154177*s[57])/594 + (7967407*s[58])/891 - (67578017*s[59])/7128 - 
       (14233177*s[60])/297 + (300746197*s[61])/128304 + s[62]/2 + 2*s[65] + 
       8*s[66] - 10*s[67] + 3*s[68] - 17*s[69] + 2*s[70] - (3*s[71])/2 - 
       10*s[72] + 18*s[73] + 7*s[74] - 7*s[75] - 6*s[76] + 6*s[77] - 
       20*s[78] - 92*s[79] + (209*s[80])/6 - 293*s[82] - 6*s[83] - 
       48*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w]*(-26*s[2] - (51*s[3])/2 + (1375*s[4])/4 - 
       (2405*s[5])/44 + (1055*s[6])/33 + (283769*s[7])/198 - 
       (524897*s[8])/1188 - (111667*s[9])/108 + (22423*s[10])/108 - 
       (763123*s[11])/396 - (275252*s[12])/99 - (83177*s[13])/44 + 
       (676415*s[14])/396 - (39821*s[15])/36 - (126571*s[16])/66 - 
       (5405*s[17])/99 + (39643*s[18])/324 - (160213*s[19])/324 - 
       (2944195*s[20])/3564 + (1445861*s[21])/3564 + (1342117*s[22])/1782 + 
       (330559*s[23])/66 + (1168874*s[24])/891 - (222055793*s[25])/64152 + 
       (54771317*s[26])/64152 - 6*s[29] + 6*s[30] - 4*s[31] + 3*s[32] - 
       (23*s[33])/2 - 4*s[34] - 22*s[35] - (103*s[36])/3 + (53*s[37])/3 + 
       (778*s[38])/3 - (11201*s[39])/12 + (11765*s[40])/12 - (2841*s[41])/4 + 
       (5239*s[42])/4 + (96251*s[43])/132 - (213005*s[44])/264 + 
       (40669*s[45])/66 - (712951*s[46])/132 + (307529*s[47])/792 - 
       (82333*s[48])/792 - (2829239*s[49])/792 + (278741*s[50])/66 + 
       (686639*s[51])/792 + (495751*s[52])/792 - (1150381*s[53])/396 - 
       (3493*s[54])/11 - (13886995*s[55])/792 - (3075053*s[56])/792 + 
       (7713643*s[57])/1188 - (60918211*s[58])/7128 + (64786897*s[59])/7128 + 
       (209957177*s[60])/4752 - (125459299*s[61])/64152 - 2*s[65] - 8*s[66] + 
       10*s[67] + 7*s[68] + 13*s[69] + 4*s[70] + 2*s[71] + 8*s[72] - 
       6*s[73] - 7*s[74] + 7*s[75] + 5*s[77] + 22*s[78] - 12*s[79] + 
       6*s[80] - 95*s[82] + 6*s[83] - 48*s[85]) + HPL[{0, 1}, 1 - w]*
      Ot[u, v, w]*((-21*s[2])/2 - (63*s[3])/2 - (3581*s[4])/4 - 
       (157505*s[5])/264 - (413561*s[6])/264 - (8345435*s[7])/594 + 
       (2133475*s[8])/1782 + (3830083*s[9])/324 + (1160993*s[10])/324 + 
       (73500277*s[11])/4752 + (10102951*s[12])/594 + (16254169*s[13])/1584 + 
       (7250227*s[14])/4752 + (1335677*s[15])/72 + (37379531*s[16])/1584 + 
       (85328585*s[17])/4752 + (4960897*s[18])/1944 + (3985349*s[19])/1944 + 
       (590679407*s[20])/21384 + (424197805*s[21])/42768 - 
       (315510827*s[22])/42768 - (26782511*s[23])/1584 - 
       (650483315*s[24])/42768 + (7640042473*s[25])/384912 - 
       (4145423869*s[26])/384912 - (2*s[29])/3 - 3*s[30] - (19*s[31])/3 - 
       s[32]/6 - (20*s[33])/3 + (28*s[34])/3 + (25*s[35])/3 + 
       (617*s[36])/18 - (215*s[37])/4 - (2989*s[38])/6 + (48467*s[39])/24 - 
       (161909*s[40])/72 + (14011*s[41])/8 - (210745*s[42])/72 - 
       (1390327*s[43])/792 + (1469305*s[44])/792 - (175475*s[45])/88 + 
       (6233705*s[46])/396 - (1673291*s[47])/2376 - (205141*s[48])/1188 + 
       (18815831*s[49])/2376 - (4764863*s[50])/396 - (596741*s[51])/297 - 
       (1930085*s[52])/1188 + (19891601*s[53])/2376 - (86201*s[54])/198 + 
       (13993649*s[55])/264 + (33646289*s[56])/2376 - (53090923*s[57])/3564 + 
       (529681321*s[58])/21384 - (535548385*s[59])/21384 - 
       (456404009*s[60])/3564 + (659416811*s[61])/96228 + s[65]/6 + 
       (2*s[66])/3 + s[67]/3 - (5*s[68])/3 + (7*s[69])/3 + (4*s[70])/3 + 
       (5*s[71])/6 - (26*s[72])/3 + (4*s[73])/3 + (19*s[74])/2 - 
       (19*s[75])/2 + (47*s[76])/3 - (5*s[77])/3 - (38*s[78])/3 - 182*s[79] + 
       (221*s[80])/6 - 146*s[82] - s[83]/2 - 83*s[84] - 48*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      (-s[1]/2 - (97*s[2])/4 + (135*s[3])/4 - (1593*s[4])/2 - 
       (140221*s[5])/176 - (287073*s[6])/176 - (1529014*s[7])/99 + 
       (5923697*s[8])/4752 + (5696863*s[9])/432 + (1749647*s[10])/432 + 
       (26627401*s[11])/1584 + (28876745*s[12])/1584 + (1439437*s[13])/132 + 
       (1736453*s[14])/792 + (331511*s[15])/16 + (6840553*s[16])/264 + 
       (16066333*s[17])/792 + (3660659*s[18])/1296 + (1443761*s[19])/648 + 
       (54845765*s[20])/1782 + (160448113*s[21])/14256 - 
       (29028701*s[22])/3564 - (4518391*s[23])/264 - (119887741*s[24])/7128 + 
       (5459580833*s[25])/256608 - (3021698093*s[26])/256608 - 2*s[29] - 
       10*s[31] + (7*s[32])/4 - (7*s[33])/8 + 13*s[34] + 16*s[35] + 
       (313*s[36])/12 - (321*s[37])/4 - (2129*s[38])/4 + (33631*s[39])/16 - 
       (110497*s[40])/48 + (28041*s[41])/16 - (147551*s[42])/48 - 
       (872387*s[43])/528 + (1841509*s[44])/1056 - (85499*s[45])/44 + 
       (8051585*s[46])/528 - (3123239*s[47])/3168 + (984139*s[48])/3168 + 
       (23735981*s[49])/3168 - (1539389*s[50])/132 - (7100833*s[51])/3168 - 
       (5656351*s[52])/3168 + (12924559*s[53])/1584 - (181943*s[54])/264 + 
       (18031217*s[55])/352 + (43021151*s[56])/3168 - (4913959*s[57])/297 + 
       (702354409*s[58])/28512 - (706580359*s[59])/28512 - 
       (2328914147*s[60])/19008 + (1711914811*s[61])/256608 - (3*s[62])/4 - 
       s[65] - 4*s[66] + 4*s[67] - (25*s[68])/2 + (41*s[69])/2 - 
       (7*s[70])/2 + s[71]/4 - 8*s[72] + 4*s[73] + (33*s[74])/4 - 
       (33*s[75])/4 + 8*s[76] - (13*s[77])/2 - 5*s[78] - 162*s[79] + 
       (81*s[80])/2 - 129*s[82] + 3*s[83] - 78*s[84] - 48*s[85]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-17*s[2])/3 - (95*s[3])/12 - (4391*s[4])/8 - (1173607*s[5])/3168 - 
       (251381*s[6])/264 - (165592079*s[7])/19008 + (10483283*s[8])/14256 + 
       (9529561*s[9])/1296 + (5835103*s[10])/2592 + (182414659*s[11])/19008 + 
       (200757905*s[12])/19008 + (30061721*s[13])/4752 + 
       (4662649*s[14])/4752 + (19838267*s[15])/1728 + 
       (278399855*s[16])/19008 + (23459153*s[17])/2112 + 
       (6399551*s[18])/3888 + (9429263*s[19])/7776 + (1475851163*s[20])/
        85536 + (133597823*s[21])/21384 - (392606353*s[22])/85536 - 
       (50416693*s[23])/4752 - (801653551*s[24])/85536 + 
       (4712676055*s[25])/384912 - (5161647479*s[26])/769824 + s[29]/3 - 
       2*s[30] - 3*s[31] + (3*s[32])/4 - (83*s[33])/24 + (19*s[34])/6 + 
       (19*s[35])/6 + (194*s[36])/9 - (241*s[37])/8 - (11137*s[38])/36 + 
       (61003*s[39])/48 - (204473*s[40])/144 + (80819*s[41])/72 - 
       (530231*s[42])/288 - (1719895*s[43])/1584 + (824735*s[44])/704 - 
       (219657*s[45])/176 + (1965811*s[46])/198 - (8387713*s[47])/19008 - 
       (2102533*s[48])/19008 + (94770985*s[49])/19008 - (3021827*s[50])/396 - 
       (8015093*s[51])/6336 - (19447115*s[52])/19008 + (5557199*s[53])/1056 - 
       (98371*s[54])/528 + (633703193*s[55])/19008 + (169346843*s[56])/
        19008 - (275870887*s[57])/28512 + (2687082325*s[58])/171072 - 
       (2706697321*s[59])/171072 - (9222673759*s[60])/114048 + 
       (1668573169*s[61])/384912 + s[65]/12 + s[66]/3 - s[67]/2 - s[68] + 
       s[69]/2 + s[70]/2 + (5*s[71])/12 - (19*s[72])/3 - s[73]/3 + 
       (19*s[74])/3 - (19*s[75])/3 + (49*s[76])/6 + (13*s[77])/6 - 
       (15*s[78])/2 - 124*s[79] + (349*s[80])/12 - (467*s[82])/3 - s[83]/4 - 
       (109*s[84])/2 - 48*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1}, 
       1 - v]*(22*s[2] - (199*s[3])/2 + (145*s[4])/4 + (4034*s[5])/11 + 
       (21311*s[6])/44 + (3390143*s[7])/792 + (1253*s[8])/396 - 
       (34721*s[9])/9 - (27905*s[10])/18 - (414177*s[11])/88 - 
       (311357*s[12])/66 - (2331775*s[13])/792 - (116789*s[14])/88 - 
       (445313*s[15])/72 - (741812*s[16])/99 - (5130359*s[17])/792 - 
       (5831*s[18])/9 - (35501*s[19])/36 - (3659509*s[20])/396 - 
       (9045881*s[21])/2376 + (5544269*s[22])/2376 + (111571*s[23])/99 + 
       (3288719*s[24])/594 - (58525603*s[25])/10692 + 
       (36510487*s[26])/10692 - 14*s[28] + 8*s[29] - 4*s[30] + 20*s[31] + 
       16*s[32] - (89*s[33])/2 - 26*s[34] + 2*s[35] - 20*s[36] + 230*s[38] - 
       438*s[39] + 360*s[40] - 251*s[41] + 391*s[42] + (4808*s[43])/11 - 
       (15413*s[44])/44 + (4793*s[45])/22 - (46799*s[46])/22 - 
       (875*s[47])/44 + (12413*s[48])/44 - (96331*s[49])/44 + 
       (18570*s[50])/11 + (5377*s[51])/44 + (9011*s[52])/44 - 
       (32132*s[53])/33 - (9796*s[54])/11 - (850159*s[55])/132 - 
       (97807*s[56])/132 + (240125*s[57])/198 - (3430739*s[58])/1188 + 
       (4077929*s[59])/1188 + (5436791*s[60])/264 - (4791101*s[61])/10692 + 
       24*s[63] + 4*s[67] - 16*s[68] - 28*s[69] - 56*s[70] - 4*s[72] + 
       12*s[73] + 3*s[74] - 3*s[75] - 14*s[76] + 66*s[77] - 4*s[78] - 
       48*s[79] + 10*s[80] + 60*s[82] - 24*s[84] - 48*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 1}, 1 - u]*(2*s[2] - 83*s[3] - 
       (783*s[4])/2 + (3603*s[5])/22 - (6117*s[6])/11 - (641585*s[7])/396 + 
       (49096*s[8])/99 + (14713*s[9])/18 - (2647*s[10])/18 + 
       (254641*s[11])/132 + (179819*s[12])/66 + (721339*s[13])/396 - 
       (102209*s[14])/132 + (36113*s[15])/36 + (438107*s[16])/198 + 
       (238355*s[17])/396 + (28675*s[18])/54 - (19039*s[19])/54 + 
       (884537*s[20])/594 + (35581*s[21])/396 - (793405*s[22])/1188 - 
       (1195729*s[23])/198 - (354755*s[24])/594 + (11170373*s[25])/3564 - 
       (4000829*s[26])/3564 + 2*s[28] + 16*s[29] - 8*s[30] - 24*s[31] - 
       57*s[33] + 16*s[34] + 70*s[35] - 40*s[36] - 2*s[37] + 2*s[38] + 
       (965*s[39])/2 - (1169*s[40])/2 + (899*s[41])/2 - (1785*s[42])/2 - 
       (4151*s[43])/22 + (17329*s[44])/44 - (3767*s[45])/22 + 
       (31069*s[46])/11 - (21537*s[47])/44 + (17205*s[48])/44 + 
       (36671*s[49])/44 - (19287*s[50])/11 - (82609*s[51])/132 - 
       (22653*s[52])/44 + (44585*s[53])/33 - (13749*s[54])/11 + 
       (987353*s[55])/132 + (479491*s[56])/132 - (743485*s[57])/99 + 
       (6671651*s[58])/1188 - (5830007*s[59])/1188 - (4209023*s[60])/264 + 
       (4625300*s[61])/2673 + 2*s[64] + 6*s[65] + 8*s[66] - 8*s[67] - 
       12*s[68] - 48*s[69] - 6*s[71] - 16*s[72] + 16*s[73] + 12*s[74] - 
       12*s[75] + 42*s[76] + 8*s[77] - 64*s[78] - 96*s[79] + 54*s[80] + 
       s[81]/3 + 60*s[82] - 24*s[84] - 48*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
      (-9*s[2] - (51*s[3])/2 - (4401*s[4])/4 - (1397*s[5])/2 - 
       (21569*s[6])/12 - (1136567*s[7])/72 + (53897*s[8])/36 + 
       (117764*s[9])/9 + (33340*s[10])/9 + (416473*s[11])/24 + 19160*s[12] + 
       (826681*s[13])/72 + (9283*s[14])/8 + (509353*s[15])/24 + 
       (956429*s[16])/36 + (1451069*s[17])/72 + (317255*s[18])/108 + 
       (231631*s[19])/108 + (3288323*s[20])/108 + (802457*s[21])/72 - 
       (1772209*s[22])/216 - (195709*s[23])/9 - (1795871*s[24])/108 + 
       (44855*s[25])/2 - (110098*s[26])/9 + 2*s[29] - 10*s[30] - 8*s[31] - 
       s[32]/2 + s[33]/2 + 11*s[34] + 26*s[35] + 75*s[36] - (709*s[37])/12 - 
       (1315*s[38])/2 + (10183*s[39])/4 - (10851*s[40])/4 + 2138*s[41] - 
       (7341*s[42])/2 - (100217*s[43])/44 + (191121*s[44])/88 - 
       (221959*s[45])/88 + (1735527*s[46])/88 - (709685*s[47])/792 - 
       (104399*s[48])/792 + (7832555*s[49])/792 - (986105*s[50])/66 - 
       (619895*s[51])/264 - (1534321*s[52])/792 + (8585839*s[53])/792 - 
       (62365*s[54])/132 + (6000693*s[55])/88 + (1592235*s[56])/88 - 
       (3481439*s[57])/198 + (9166057*s[58])/297 - (76262399*s[59])/2376 - 
       (188120699*s[60])/1188 + (124883449*s[61])/14256 + s[65] + 4*s[66] - 
       4*s[67] - 4*s[68] - 4*s[69] + 2*s[70] + (11*s[71])/2 - 18*s[72] - 
       14*s[73] + 7*s[74] - 18*s[75] + 22*s[76] + 8*s[77] - 28*s[78] - 
       50*s[79] - (105*s[80])/2 + 49*s[82] - (33*s[83])/2 - 21*s[84] - 
       48*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*
      ((-55*s[2])/24 - (495*s[3])/16 - (1571*s[4])/96 - (6081*s[5])/176 - 
       (31385*s[6])/528 - (1653697*s[7])/2112 + (57185*s[8])/1188 + 
       (547673*s[9])/864 + (88363*s[10])/216 + (156053*s[11])/198 + 
       (4530941*s[12])/6336 + (2161315*s[13])/6336 + (1973197*s[14])/6336 + 
       (89853*s[15])/64 + (5129105*s[16])/3168 + (5250515*s[17])/3168 + 
       (195169*s[18])/2592 + (199469*s[19])/648 + (54218471*s[20])/28512 + 
       (37949371*s[21])/57024 - (22295993*s[22])/57024 - 
       (488105*s[23])/6336 - (66292433*s[24])/57024 + 
       (471565795*s[25])/513216 - (286544119*s[26])/513216 + s[29] + 
       s[30]/2 + (7*s[31])/3 + s[32] + (35*s[33])/16 - (49*s[34])/6 - 
       (65*s[35])/12 - (149*s[36])/36 + (55*s[37])/3 + (59*s[38])/3 - 
       (2209*s[39])/48 + (3839*s[40])/144 - 18*s[41] + (12511*s[42])/144 - 
       (103931*s[43])/1584 + (224095*s[44])/3168 - (47813*s[45])/198 + 
       (200309*s[46])/176 + (1362817*s[47])/9504 - (2559893*s[48])/9504 + 
       (4305209*s[49])/9504 - (843241*s[50])/792 + (831719*s[51])/9504 + 
       (1235951*s[52])/9504 + (1267597*s[53])/1584 + (12649*s[54])/33 + 
       (17418083*s[55])/3168 + (9934945*s[56])/9504 + 
       (40543615*s[57])/14256 + (60297749*s[58])/85536 - 
       (85260293*s[59])/85536 - (663149765*s[60])/57024 + 
       (31050317*s[61])/48114 + s[65]/4 + s[66] - (3*s[67])/2 + 
       (19*s[68])/6 - (77*s[69])/12 - 2*s[70] - s[71]/4 - s[72]/2 + 2*s[73] - 
       (23*s[74])/24 + (23*s[75])/24 - (55*s[76])/12 + (65*s[77])/12 + 
       (17*s[78])/6 + (7*s[79])/3 + (205*s[80])/36 - 279*s[82] - 
       (3*s[83])/4 + (9*s[84])/2 - 48*s[85]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*((437*s[2])/144 - 
       (3407*s[3])/96 + (119765*s[4])/576 + (329125*s[5])/1584 + 
       (2132479*s[6])/6336 + (365304925*s[7])/114048 - 
       (56876485*s[8])/171072 - (21663091*s[9])/7776 - (3540455*s[10])/7776 - 
       (409415767*s[11])/114048 - (118697129*s[12])/28512 - 
       (32082913*s[13])/12672 - (8154523*s[14])/114048 - 
       (13065397*s[15])/3456 - (23410361*s[16])/4752 - 
       (364631669*s[17])/114048 - (8505061*s[18])/11664 - 
       (5324933*s[19])/46656 - (3024661337*s[20])/513216 - 
       (2239499041*s[21])/1026432 + (1763109389*s[22])/1026432 + 
       (2132807*s[23])/396 + (758706011*s[24])/256608 - 
       (10904136805*s[25])/2309472 + (5813045299*s[26])/2309472 + 
       (5*s[29])/3 + (13*s[30])/24 + (77*s[31])/9 - (79*s[32])/36 - 
       (229*s[33])/144 - (1001*s[34])/72 + (97*s[35])/72 + (89*s[36])/27 + 
       (14683*s[37])/144 + (1241*s[38])/9 - (65099*s[39])/96 + 
       (621947*s[40])/864 - (145655*s[41])/288 + (460115*s[42])/432 + 
       (3579205*s[43])/9504 - (8828735*s[44])/19008 + (318323*s[45])/1056 - 
       (1956973*s[46])/594 + (26964757*s[47])/57024 - 
       (25613681*s[48])/57024 - (89140333*s[49])/57024 + 
       (10459199*s[50])/4752 + (41337221*s[51])/57024 + 
       (36320381*s[52])/57024 - (45126557*s[53])/28512 + 
       (2481293*s[54])/2376 - (19552087*s[55])/2112 - 
       (187596319*s[56])/57024 + (729516137*s[57])/85536 - 
       (3450404051*s[58])/513216 + (3272299181*s[59])/513216 + 
       (7803453133*s[60])/342144 - (6252156377*s[61])/4618944 + 
       (11*s[65])/18 + (22*s[66])/9 - (26*s[67])/9 + (83*s[68])/18 - 
       (187*s[69])/18 - (92*s[70])/9 + (235*s[71])/72 + (131*s[72])/36 + 
       (191*s[73])/36 - (337*s[74])/144 + (301*s[75])/144 - (149*s[76])/12 + 
       (1225*s[77])/72 + (79*s[78])/36 + (389*s[79])/6 - (2393*s[80])/72 - 
       94*s[82] + (25*s[83])/6 + (83*s[84])/2 - (137*s[85])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
      (-20*s[2] - (165*s[3])/4 - (6269*s[4])/24 - (34825*s[5])/66 - 
       (10953*s[6])/11 - (13423301*s[7])/1584 + (686897*s[8])/1188 + 
       (1555865*s[9])/216 + (145969*s[10])/54 + (7079861*s[11])/792 + 
       (14522507*s[12])/1584 + (8334455*s[13])/1584 + (3919621*s[14])/1584 + 
       (1780051*s[15])/144 + (5925761*s[16])/396 + (1735067*s[17])/132 + 
       (1051261*s[18])/648 + (428767*s[19])/324 + (130440251*s[20])/7128 + 
       (100091203*s[21])/14256 - (62634185*s[22])/14256 - 
       (11186821*s[23])/1584 - (137282357*s[24])/14256 + 
       (1378043941*s[25])/128304 - (839506189*s[26])/128304 + 2*s[30] - 
       4*s[31] + (3*s[32])/2 + 4*s[33] - 2*s[34] + (22*s[35])/3 - 5*s[36] - 
       (695*s[37])/18 - (269*s[38])/3 + (6323*s[39])/12 - (7235*s[40])/12 + 
       (1268*s[41])/3 - (2507*s[42])/3 - (57149*s[43])/132 + 
       (125701*s[44])/264 - (341675*s[45])/396 + (1134577*s[46])/198 - 
       (224045*s[47])/792 - (22415*s[48])/792 + (1592417*s[49])/792 - 
       (286169*s[50])/66 - (437909*s[51])/792 - (316339*s[52])/792 + 
       (3938617*s[53])/1188 - (36370*s[54])/99 + (5657063*s[55])/264 + 
       (14760463*s[56])/2376 - (10608821*s[57])/3564 + 
       (185029385*s[58])/21384 - (187687697*s[59])/21384 - 
       (218616787*s[60])/4752 + (296482405*s[61])/96228 - 10*s[68] + 
       10*s[69] - 4*s[70] - (7*s[71])/3 - 4*s[72] + 2*s[73] + (8*s[74])/3 - 
       (11*s[75])/3 + (5*s[76])/3 - (8*s[77])/3 - 4*s[78] - 68*s[79] + 
       (500*s[80])/9 - 380*s[82] - (3*s[83])/4 - (15*s[84])/2 - 44*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((-3*s[2])/2 - (539*s[3])/6 - (289*s[4])/24 + (23201*s[5])/132 + 
       (7613*s[6])/44 + (3154799*s[7])/1584 - (26597*s[8])/594 - 
       (402619*s[9])/216 - (61279*s[10])/108 - (1751137*s[11])/792 - 
       (3706891*s[12])/1584 - (266545*s[13])/176 - (750209*s[14])/1584 - 
       (124363*s[15])/48 - (420869*s[16])/132 - (949585*s[17])/396 - 
       (217181*s[18])/648 - (97967*s[19])/324 - (14583527*s[20])/3564 - 
       (23934677*s[21])/14256 + (16066525*s[22])/14256 + (583969*s[23])/528 + 
       (33643387*s[24])/14256 - (337561775*s[25])/128304 + 
       (203608961*s[26])/128304 + 4*s[29] - 3*s[30] + 6*s[31] + (5*s[32])/3 + 
       (5*s[33])/4 - 9*s[34] - 6*s[35] + 3*s[36] + (25*s[37])/2 + 
       (512*s[38])/3 - (9077*s[39])/24 + (9029*s[40])/24 - (2167*s[41])/8 + 
       (10843*s[42])/24 + (111935*s[43])/264 - (168277*s[44])/528 + 
       (89921*s[45])/264 - (29740*s[46])/11 + (3529*s[47])/1584 + 
       (387583*s[48])/1584 - (2920879*s[49])/1584 + (46077*s[50])/22 + 
       (414659*s[51])/1584 + (438347*s[52])/1584 - (534803*s[53])/396 - 
       (34031*s[54])/132 - (13732399*s[55])/1584 - (325453*s[56])/176 + 
       (166115*s[57])/99 - (6272729*s[58])/1584 + (729193*s[59])/176 + 
       (229569691*s[60])/9504 - (10028801*s[61])/10692 + s[65] + 4*s[66] - 
       6*s[67] + s[68]/3 - (37*s[69])/3 + 2*s[70] - 2*s[71] - 4*s[72] + 
       8*s[73] + 2*s[74] - 2*s[75] - 2*s[76] + (19*s[77])/3 - 6*s[78] + 
       4*s[79] + 11*s[80] - 186*s[82] - 3*s[83] + 18*s[84] - 44*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((-775*s[2])/48 - (11*s[3])/32 - (328517*s[4])/576 - 
       (1285975*s[5])/3168 - (6545423*s[6])/6336 - (1054141267*s[7])/114048 + 
       (130771741*s[8])/171072 + (60989383*s[9])/7776 + (1097681*s[10])/486 + 
       (1174708825*s[11])/114048 + (653386111*s[12])/57024 + 
       (265611695*s[13])/38016 + (98983495*s[14])/114048 + 
       (13626997*s[15])/1152 + (96977137*s[16])/6336 + 
       (1279826219*s[17])/114048 + (20353057*s[18])/11664 + 
       (57267083*s[19])/46656 + (9255608999*s[20])/513216 + 
       (6700706989*s[21])/1026432 - (5022935021*s[22])/1026432 - 
       (108779695*s[23])/9504 - (2537833391*s[24])/256608 + 
       (30545391835*s[25])/2309472 - (8266050095*s[26])/1154736 - 
       (17*s[29])/18 - (11*s[30])/8 - (107*s[31])/9 - (7*s[32])/9 - 
       (175*s[33])/144 + (1141*s[34])/72 + (643*s[35])/72 + (1579*s[36])/54 - 
       (1915*s[37])/48 - (3535*s[38])/9 + (416147*s[39])/288 - 
       (1371121*s[40])/864 + (352183*s[41])/288 - (1754423*s[42])/864 - 
       (12093503*s[43])/9504 + (12501293*s[44])/9504 - (4468583*s[45])/3168 + 
       (26183693*s[46])/2376 - (13705663*s[47])/28512 - 
       (2753621*s[48])/14256 + (163057489*s[49])/28512 - 
       (39590005*s[50])/4752 - (4963741*s[51])/3564 - 
       (16749241*s[52])/14256 + (81491819*s[53])/14256 - 
       (952181*s[54])/4752 + (345189677*s[55])/9504 + 
       (277653679*s[56])/28512 - (238270717*s[57])/21384 + 
       (281760185*s[58])/16038 - (4521303653*s[59])/256608 - 
       (3843175771*s[60])/42768 + (21787373611*s[61])/4618944 + s[62]/4 - 
       (2*s[65])/9 - (8*s[66])/9 + (17*s[67])/9 - (53*s[68])/18 + 
       (121*s[69])/18 - (4*s[70])/9 + (79*s[71])/72 - (175*s[72])/36 - 
       (79*s[73])/36 + (239*s[74])/48 - (239*s[75])/48 + (565*s[76])/36 - 
       (185*s[77])/72 - (319*s[78])/36 - (527*s[79])/6 + (139*s[80])/72 - 
       (147*s[82])/2 + (2*s[83])/3 - (335*s[84])/6 - (127*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^3*((-271*s[2])/24 + (185*s[3])/16 - 
       (58573*s[4])/96 - (242369*s[5])/528 - (1200041*s[6])/1056 - 
       (195929791*s[7])/19008 + (7964989*s[8])/9504 + (3779929*s[9])/432 + 
       (72326*s[10])/27 + (71803871*s[11])/6336 + (19685609*s[12])/1584 + 
       (141817043*s[13])/19008 + (8451635*s[14])/6336 + 
       (23486389*s[15])/1728 + (82234109*s[16])/4752 + 
       (250645447*s[17])/19008 + (2533981*s[18])/1296 + 
       (3597043*s[19])/2592 + (586261963*s[20])/28512 + 
       (142597595*s[21])/19008 - (310882985*s[22])/57024 - 
       (28851341*s[23])/2376 - (158185385*s[24])/14256 + 
       (615038713*s[25])/42768 - (340011547*s[26])/42768 - (7*s[28])/12 + 
       (5*s[29])/6 - s[30]/6 - (22*s[31])/3 + s[32] - (193*s[33])/48 + 
       10*s[34] + (53*s[35])/12 + (997*s[36])/36 - (1079*s[37])/36 - 
       (2183*s[38])/6 + (5933*s[39])/4 - (30041*s[40])/18 + 1323*s[41] - 
       (38863*s[42])/18 - (520517*s[43])/396 + (4419073*s[44])/3168 - 
       (289987*s[45])/198 + (4631251*s[46])/396 - (4590419*s[47])/9504 - 
       (2039123*s[48])/9504 + (56445581*s[49])/9504 - (1777531*s[50])/198 - 
       (14062579*s[51])/9504 - (11307865*s[52])/9504 + 
       (29463059*s[53])/4752 - (201061*s[54])/792 + (41508187*s[55])/1056 + 
       (11108687*s[56])/1056 - (52123147*s[57])/4752 + 
       (523634015*s[58])/28512 - (529012367*s[59])/28512 - 
       (5447868491*s[60])/57024 + (72420599*s[61])/14256 + s[63] - s[65]/6 + 
       (5*s[66])/6 - (3*s[67])/2 - (10*s[68])/3 - (11*s[69])/6 - 
       (9*s[70])/2 + (7*s[71])/6 - (35*s[72])/6 + (9*s[73])/2 + 
       (57*s[74])/8 - (57*s[75])/8 + (15*s[76])/2 + (97*s[77])/12 - 
       (25*s[78])/3 - (448*s[79])/3 + (529*s[80])/18 - 112*s[82] + s[83]/2 - 
       70*s[84] - 42*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^3*
      ((-41*s[2])/4 - (155*s[3])/24 - (28397*s[4])/48 - (226091*s[5])/528 - 
       (35440*s[6])/33 - (92451155*s[7])/9504 + (158429*s[8])/198 + 
       (1184359*s[9])/144 + (361357*s[10])/144 + (33896369*s[11])/3168 + 
       (1551881*s[12])/132 + (67192693*s[13])/9504 + (3806513*s[14])/3168 + 
       (11031983*s[15])/864 + (77474633*s[16])/4752 + 
       (117866219*s[17])/9504 + (2376773*s[18])/1296 + (1732069*s[19])/1296 + 
       (275118445*s[20])/14256 + (199178413*s[21])/28512 - 
       (48738101*s[22])/9504 - (27408149*s[23])/2376 - 
       (12443747*s[24])/1188 + (3497191117*s[25])/256608 - 
       (1916469457*s[26])/256608 + s[28]/12 + (7*s[29])/6 - (5*s[30])/6 - 
       (35*s[31])/6 + (11*s[32])/12 - (85*s[33])/24 + (22*s[34])/3 + 
       (26*s[35])/3 + (965*s[36])/36 - (241*s[37])/8 - (1361*s[38])/4 + 
       (66115*s[39])/48 - (221813*s[40])/144 + (19395*s[41])/16 - 
       (288577*s[42])/144 - (1856455*s[43])/1584 + (3989993*s[44])/3168 - 
       (711163*s[45])/528 + (4228381*s[46])/396 - (4726417*s[47])/9504 - 
       (956167*s[48])/9504 + (50360407*s[49])/9504 - (807361*s[50])/99 - 
       (13371887*s[51])/9504 - (10840235*s[52])/9504 + 
       (13385095*s[53])/2376 - (287101*s[54])/792 + (113029285*s[55])/3168 + 
       (91887289*s[56])/9504 - (76024261*s[57])/7128 + 
       (1453777889*s[58])/85536 - (1456832381*s[59])/85536 - 
       (4936376551*s[60])/57024 + (1804924015*s[61])/384912 + s[64]/12 - 
       s[65]/6 + s[66]/6 - s[67] - (25*s[68])/6 + (5*s[69])/6 - 
       (13*s[70])/6 + (7*s[71])/6 - 4*s[72] + (4*s[73])/3 + (89*s[74])/12 - 
       (89*s[75])/12 + (17*s[76])/2 + (7*s[77])/2 - (19*s[78])/3 - 
       132*s[79] + (301*s[80])/12 + s[81]/72 - 112*s[82] + s[83]/2 - 
       70*s[84] - 42*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*((97*s[2])/6 - (95*s[3])/4 + 
       (1177*s[4])/4 + (43369*s[5])/264 + (42557*s[6])/88 + 
       (20360695*s[7])/4752 - (2987425*s[8])/7128 - (579527*s[9])/162 - 
       (589153*s[10])/648 - (22672489*s[11])/4752 - (1596524*s[12])/297 - 
       (5235205*s[13])/1584 - (307159*s[14])/4752 - (777971*s[15])/144 - 
       (5490541*s[16])/792 - (23158763*s[17])/4752 - (773711*s[18])/972 - 
       (936239*s[19])/1944 - (169442525*s[20])/21384 - 
       (121450855*s[21])/42768 + (96203057*s[22])/42768 + 
       (2430419*s[23])/396 + (46871093*s[24])/10692 - 
       (1203905201*s[25])/192456 + (634709957*s[26])/192456 + s[28]/2 - 
       2*s[29] - s[30]/2 + (29*s[31])/3 - (2*s[32])/3 + (119*s[33])/24 - 
       (125*s[34])/6 - (49*s[35])/3 - (431*s[36])/18 + (293*s[37])/9 + 
       (1187*s[38])/6 - (18395*s[39])/24 + (57533*s[40])/72 - 
       (5067*s[41])/8 + (83539*s[42])/72 + (473503*s[43])/792 - 
       (907079*s[44])/1584 + (96511*s[45])/198 - (3665957*s[46])/792 + 
       (1850029*s[47])/4752 - (999125*s[48])/4752 - (11844595*s[49])/4752 + 
       (333962*s[50])/99 + (3773075*s[51])/4752 + (3246905*s[52])/4752 - 
       (5715025*s[53])/2376 + (164261*s[54])/396 - (2531557*s[55])/176 - 
       (6454115*s[56])/1584 + (1478375*s[57])/198 - (114730229*s[58])/14256 + 
       (116110391*s[59])/14256 + (1002012877*s[60])/28512 - 
       (242240605*s[61])/128304 - s[65]/3 - (4*s[66])/3 + (5*s[67])/3 + 
       (13*s[68])/3 - s[69] + (5*s[70])/3 - (13*s[71])/6 + (10*s[72])/3 - 
       (26*s[73])/3 - 5*s[74] + 5*s[75] - (34*s[76])/3 + 3*s[77] + 10*s[78] + 
       (40*s[79])/3 + (277*s[80])/9 - 416*s[82] + (25*s[83])/4 + 
       (33*s[84])/2 - 42*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((-107*s[2])/16 - 
       (8687*s[3])/288 - (94739*s[4])/192 - (735127*s[5])/3168 - 
       (4600697*s[6])/6336 - (771351019*s[7])/114048 + 
       (108222715*s[8])/171072 + (2727559*s[9])/486 + (6579973*s[10])/3888 + 
       (857383159*s[11])/114048 + (240064949*s[12])/28512 + 
       (63480289*s[13])/12672 + (49448419*s[14])/114048 + 
       (3350623*s[15])/384 + (215445743*s[16])/19008 + 
       (944994233*s[17])/114048 + (29708999*s[18])/23328 + 
       (45389993*s[19])/46656 + (6732007319*s[20])/513216 + 
       (4701465337*s[21])/1026432 - (3635293037*s[22])/1026432 - 
       (56000815*s[23])/6336 - (3725421583*s[24])/513216 + 
       (45038558021*s[25])/4618944 - (23769246911*s[26])/4618944 + 
       (8*s[29])/9 - (47*s[30])/24 - (37*s[31])/18 - (23*s[32])/36 + 
       (13*s[33])/72 + (127*s[34])/72 + (331*s[35])/72 + (1883*s[36])/108 - 
       (325*s[37])/16 - (2851*s[38])/12 + (301225*s[39])/288 - 
       (1018027*s[40])/864 + (272207*s[41])/288 - (1340123*s[42])/864 - 
       (8459285*s[43])/9504 + (9469685*s[44])/9504 - (3030187*s[45])/3168 + 
       (37998385*s[46])/4752 - (10711381*s[47])/28512 - 
       (1623473*s[48])/14256 + (116866483*s[49])/28512 - 
       (29169205*s[50])/4752 - (7721339*s[51])/7128 - (2984647*s[52])/3564 + 
       (29961181*s[53])/7128 - (1108055*s[54])/4752 + (9273895*s[55])/352 + 
       (203799523*s[56])/28512 - (178309771*s[57])/21384 + 
       (407165455*s[58])/32076 - (3262670351*s[59])/256608 - 
       (1383473093*s[60])/21384 + (16121462029*s[61])/4618944 + 
       (13*s[65])/36 + (13*s[66])/9 - (29*s[67])/18 - (38*s[69])/9 + 
       (7*s[70])/18 - (47*s[71])/72 - (163*s[72])/36 + (53*s[73])/36 + 
       (85*s[74])/16 - (85*s[75])/16 + (229*s[76])/36 + (37*s[77])/24 - 
       (301*s[78])/36 - (589*s[79])/6 + (2251*s[80])/72 - (931*s[82])/6 - 
       (13*s[83])/12 - (118*s[84])/3 - (125*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      ((35*s[2])/48 - (3181*s[3])/96 - (38263*s[4])/192 - (10651*s[5])/88 - 
       (260923*s[6])/704 - (117098389*s[7])/38016 + (13195769*s[8])/57024 + 
       (828415*s[9])/324 + (1157819*s[10])/1296 + (126568007*s[11])/38016 + 
       (33775453*s[12])/9504 + (80427817*s[13])/38016 + 
       (22407431*s[14])/38016 + (14709263*s[15])/3456 + 
       (25311509*s[16])/4752 + (55149715*s[17])/12672 + 
       (4361929*s[18])/7776 + (7889707*s[19])/15552 + 
       (1080715423*s[20])/171072 + (792712913*s[21])/342144 - 
       (544388029*s[22])/342144 - (14629759*s[23])/4752 - 
       (298081441*s[24])/85536 + (803937389*s[25])/192456 - 
       (229848361*s[26])/96228 - s[29]/2 - (7*s[30])/24 + (5*s[31])/6 + 
       (7*s[32])/3 + (87*s[33])/16 - (43*s[34])/24 - (175*s[35])/72 + 
       (511*s[36])/72 + (31*s[37])/12 - (187*s[38])/3 + (41585*s[39])/144 - 
       (48787*s[40])/144 + (10915*s[41])/36 - (14105*s[42])/36 - 
       (547907*s[43])/1584 + (269689*s[44])/792 - (52450*s[45])/99 + 
       (5655131*s[46])/1584 - (8287*s[47])/2376 - (557803*s[48])/2376 + 
       (15022693*s[49])/9504 - (2206333*s[50])/792 - (2156141*s[51])/9504 - 
       (1002079*s[52])/4752 + (19013153*s[53])/9504 - (11347*s[54])/528 + 
       (10534741*s[55])/792 + (11099591*s[56])/3168 - (576443*s[57])/1584 + 
       (34744121*s[58])/7128 - (144456137*s[59])/28512 - 
       (1740455329*s[60])/57024 + (879024689*s[61])/513216 - s[65]/12 - 
       s[66]/3 + (2*s[67])/3 + (29*s[68])/12 - (13*s[69])/12 + s[70]/4 + 
       (7*s[71])/24 - s[72]/4 + s[73]/4 + (113*s[74])/144 - (113*s[75])/144 - 
       (119*s[76])/36 + (131*s[77])/72 + (11*s[78])/12 - (75*s[79])/2 + 
       (443*s[80])/36 - (641*s[82])/3 + s[83]/4 - (37*s[84])/2 - 
       (124*s[85])/3) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]^2*((-589*s[2])/72 - (6085*s[3])/288 - 
       (274771*s[4])/576 - (490273*s[5])/1584 - (5407981*s[6])/6336 - 
       (870302171*s[7])/114048 + (110016343*s[8])/171072 + 
       (24837551*s[9])/3888 + (7799527*s[10])/3888 + (962036305*s[11])/
        114048 + (264815237*s[12])/28512 + (639608447*s[13])/114048 + 
       (100139329*s[14])/114048 + (104227849*s[15])/10368 + 
       (91798325*s[16])/7128 + (372243233*s[17])/38016 + 
       (7817579*s[18])/5832 + (56300501*s[19])/46656 + 
       (7716001175*s[20])/513216 + (5485949695*s[21])/1026432 - 
       (4108305263*s[22])/1026432 - (123816893*s[23])/14256 - 
       (2170829261*s[24])/256608 + (6245578189*s[25])/577368 - 
       (13466878807*s[26])/2309472 + (4*s[29])/3 - (25*s[30])/24 - 
       (43*s[31])/18 + (107*s[32])/72 + (71*s[33])/72 + (209*s[34])/72 + 
       (317*s[35])/72 + (937*s[36])/54 - (8443*s[37])/432 - 
       (19555*s[38])/72 + (312211*s[39])/288 - (1048633*s[40])/864 + 
       (276227*s[41])/288 - (1346501*s[42])/864 - (854797*s[43])/864 + 
       (1811333*s[44])/1728 - (952831*s[45])/864 + (470567*s[46])/54 - 
       (1685239*s[47])/5184 - (1296577*s[48])/5184 + (23407237*s[49])/5184 - 
       (362167*s[50])/54 - (5566901*s[51])/5184 - (4355003*s[52])/5184 + 
       (11980921*s[53])/2592 - (57869*s[54])/432 + (50745587*s[55])/1728 + 
       (13396453*s[56])/1728 - (18860797*s[57])/2592 + 
       (23148115*s[58])/1728 - (70360411*s[59])/5184 - 
       (2233893853*s[60])/31104 + (530591645*s[61])/139968 + (7*s[65])/36 + 
       (7*s[66])/9 - (31*s[67])/18 - (23*s[68])/36 - (137*s[69])/36 - 
       (13*s[70])/18 + s[71]/72 - (149*s[72])/36 + (37*s[73])/12 + 
       (233*s[74])/48 - (233*s[75])/48 + (187*s[76])/36 + (119*s[77])/72 - 
       (263*s[78])/36 - (1607*s[79])/18 + (5339*s[80])/216 - (715*s[82])/4 - 
       (7*s[83])/12 - 40*s[84] - (122*s[85])/3) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
      (-11*s[2] - (145*s[3])/24 - (49615*s[4])/48 - (826817*s[5])/1584 - 
       (2548307*s[6])/1584 - (416553955*s[7])/28512 + (57451597*s[8])/42768 + 
       (23659069*s[9])/1944 + (6925955*s[10])/1944 + (232308977*s[11])/
        14256 + (520692311*s[12])/28512 + (105504329*s[13])/9504 + 
       (26168953*s[14])/28512 + (5399759*s[15])/288 + (19272461*s[16])/792 + 
       (126260039*s[17])/7128 + (29800237*s[18])/11664 + 
       (6407111*s[19])/2916 + (3593987645*s[20])/128304 + 
       (2510915419*s[21])/256608 - (1971481031*s[22])/256608 - 
       (177398635*s[23])/9504 - (4052406161*s[24])/256608 + 
       (24516154331*s[25])/1154736 - (12864674789*s[26])/1154736 - s[27]/8 - 
       s[28]/8 + (167*s[29])/36 - (37*s[30])/12 - (143*s[31])/36 + 
       (2*s[32])/9 + (173*s[33])/144 + (287*s[34])/36 + (253*s[35])/18 + 
       (4751*s[36])/108 - (2387*s[37])/72 - (37205*s[38])/72 + 
       (73121*s[39])/36 - (242807*s[40])/108 + (84851*s[41])/48 - 
       (1265011*s[42])/432 - (2107675*s[43])/1188 + (17917331*s[44])/9504 - 
       (2810515*s[45])/1584 + (70865269*s[46])/4752 - 
       (18868537*s[47])/28512 - (8013253*s[48])/28512 + 
       (230404423*s[49])/28512 - (54029773*s[50])/4752 - 
       (56728091*s[51])/28512 - (45678851*s[52])/28512 + 
       (222897571*s[53])/28512 - (74594*s[54])/297 + (155098585*s[55])/3168 + 
       (370819381*s[56])/28512 - (660157727*s[57])/42768 + 
       (6060241061*s[58])/256608 - (6143348879*s[59])/256608 - 
       (20751274657*s[60])/171072 + (7239865135*s[61])/1154736 + s[64]/8 + 
       (59*s[65])/72 + (59*s[66])/18 - (52*s[67])/9 - (265*s[68])/36 - 
       (259*s[69])/36 - (55*s[70])/36 + (41*s[71])/36 - (85*s[72])/9 + 
       (179*s[73])/36 + (93*s[74])/8 - (91*s[75])/8 + (85*s[76])/9 - 
       (35*s[77])/18 - (505*s[78])/36 - 157*s[79] + (187*s[80])/6 - 
       (37*s[82])/2 - (25*s[83])/12 - (262*s[84])/3 - (121*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - w]*
      (-2*s[2] + (10*s[3])/3 - (1861*s[4])/12 - (5369*s[5])/44 - 
       (26095*s[6])/88 - (2312653*s[7])/792 + (499669*s[8])/2376 + 
       (535067*s[9])/216 + (93227*s[10])/108 + (5079589*s[11])/1584 + 
       (5488919*s[12])/1584 + (418543*s[13])/198 + (159469*s[14])/396 + 
       (283439*s[15])/72 + (1970927*s[16])/396 + (2063147*s[17])/528 + 
       (295495*s[18])/648 + (366305*s[19])/648 + (20843551*s[20])/3564 + 
       (1863442*s[21])/891 - (11001019*s[22])/7128 - (4251169*s[23])/1584 - 
       (48801413*s[24])/14256 + (523639255*s[25])/128304 - 
       (285445939*s[26])/128304 + 3*s[30] - s[32] + (11*s[35])/3 + 
       (19*s[36])/6 + (85*s[37])/6 - (289*s[38])/3 + (9287*s[39])/24 - 
       (3721*s[40])/8 + (3139*s[41])/8 - (12589*s[42])/24 - 
       (130961*s[43])/264 + (260563*s[44])/528 - (14247*s[45])/22 + 
       (1182163*s[46])/264 + (9697*s[47])/176 - (70273*s[48])/176 + 
       (407917*s[49])/176 - (80433*s[50])/22 - (533449*s[51])/1584 - 
       (114043*s[52])/528 + (2019727*s[53])/792 + (3274*s[54])/11 + 
       (8804611*s[55])/528 + (6058675*s[56])/1584 + (394385*s[57])/1188 + 
       (81594833*s[58])/14256 - (87954575*s[59])/14256 - 
       (125405557*s[60])/3168 + (257004791*s[61])/128304 + 7*s[68] - 
       5*s[69] - 2*s[70] - 4*s[73] - (2*s[74])/3 + (2*s[75])/3 - 
       (22*s[76])/3 + (23*s[77])/3 + 5*s[78] - 38*s[79] + (46*s[80])/3 - 
       218*s[82] - 40*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*(-s[2]/3 - 29*s[3] - (141*s[4])/4 - 
       (1077*s[5])/22 - (33785*s[6])/264 - (782921*s[7])/792 + 
       (10763*s[8])/264 + (6515*s[9])/8 + (4853*s[10])/12 + 
       (538015*s[11])/528 + (174181*s[12])/176 + (428407*s[13])/792 + 
       (37899*s[14])/88 + (36275*s[15])/24 + (1458097*s[16])/792 + 
       (2755369*s[17])/1584 + (40525*s[18])/216 + (47999*s[19])/216 + 
       (2734741*s[20])/1188 + (2055247*s[21])/2376 - (196315*s[22])/396 - 
       (521413*s[23])/1584 - (1989637*s[24])/1584 + (50070965*s[25])/42768 - 
       (32213021*s[26])/42768 + (8*s[31])/3 + s[32] + 2*s[33] - 
       (16*s[34])/3 - (16*s[35])/3 - (28*s[36])/9 + (139*s[37])/9 + 7*s[38] - 
       (95*s[39])/6 - (91*s[40])/18 + (257*s[41])/12 + (1541*s[42])/36 - 
       (13487*s[43])/198 + (52439*s[44])/792 - (40033*s[45])/198 + 
       (11328*s[46])/11 + (224693*s[47])/2376 - (509755*s[48])/2376 + 
       (814441*s[49])/2376 - (87616*s[50])/99 + (63949*s[51])/2376 + 
       (118585*s[52])/2376 + (246463*s[53])/396 + (2483*s[54])/22 + 
       (3485083*s[55])/792 + (2483333*s[56])/2376 + (1459484*s[57])/891 + 
       (20195707*s[58])/21384 - (21219097*s[59])/21384 - 
       (139393861*s[60])/14256 + (114414307*s[61])/192456 + (10*s[68])/3 - 
       (10*s[69])/3 - (2*s[74])/3 + (2*s[75])/3 - (8*s[76])/3 + 
       (10*s[77])/3 + (8*s[78])/3 - (16*s[79])/3 + (56*s[80])/9 - 196*s[82] - 
       40*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Omega2[u, v, w]*
      ((-23*s[2])/6 - (55*s[3])/2 - (7547*s[4])/12 - (27421*s[5])/66 - 
       (36293*s[6])/33 - (5862635*s[7])/594 + (3075623*s[8])/3564 + 
       (2684281*s[9])/324 + (408427*s[10])/162 + (25850147*s[11])/2376 + 
       (28527067*s[12])/2376 + (2853283*s[13])/396 + (318976*s[14])/297 + 
       (77713*s[15])/6 + (3282571*s[16])/198 + (29815237*s[17])/2376 + 
       (1769213*s[18])/972 + (346978*s[19])/243 + (103935023*s[20])/5346 + 
       (74390623*s[21])/10692 - (55359983*s[22])/10692 - 
       (9447193*s[23])/792 - (228057553*s[24])/21384 + 
       (2686857731*s[25])/192456 - (1456114697*s[26])/192456 + 2*s[29] - 
       2*s[30] - (4*s[31])/3 + (2*s[32])/3 + (19*s[33])/6 + (2*s[34])/3 + 
       (14*s[35])/3 + (212*s[36])/9 - 39*s[37] - (1012*s[38])/3 + 
       (4234*s[39])/3 - (14234*s[40])/9 + 1230*s[41] - (36947*s[42])/18 - 
       (121078*s[43])/99 + (520093*s[44])/396 - (46832*s[45])/33 + 
       (1102681*s[46])/99 - (297871*s[47])/594 - (85681*s[48])/594 + 
       (1652720*s[49])/297 - (1684181*s[50])/198 - (422206*s[51])/297 - 
       (1348573*s[52])/1188 + (3510487*s[53])/594 - (31157*s[54])/99 + 
       (7407019*s[55])/198 + (2981612*s[56])/297 - (37437005*s[57])/3564 + 
       (93662351*s[58])/5346 - (94232357*s[59])/5346 - (80656843*s[60])/891 + 
       (236011697*s[61])/48114 + s[65]/3 + (4*s[66])/3 - (8*s[67])/3 - 
       (11*s[68])/3 - (8*s[69])/3 - (2*s[70])/3 - s[71]/3 - (16*s[72])/3 + 
       (8*s[73])/3 + (20*s[74])/3 - (20*s[75])/3 + 6*s[76] - s[77]/3 - 
       (20*s[78])/3 - 124*s[79] + (110*s[80])/3 - 190*s[82] - s[83] - 
       54*s[84] - 40*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      Omega2[u, v, w]*((-26*s[2])/3 - (65*s[3])/3 - (1906*s[4])/3 - 
       (111377*s[5])/264 - (294539*s[6])/264 - (23898173*s[7])/2376 + 
       (6277529*s[8])/7128 + (5472469*s[9])/648 + (1667015*s[10])/648 + 
       (26344933*s[11])/2376 + (7267133*s[12])/594 + (17449217*s[13])/2376 + 
       (2592055*s[14])/2376 + (1428023*s[15])/108 + (10040933*s[16])/594 + 
       (1690159*s[17])/132 + (3586475*s[18])/1944 + (707977*s[19])/486 + 
       (211750289*s[20])/10692 + (75834905*s[21])/10692 - 
       (112925435*s[22])/21384 - (28890889*s[23])/2376 - 
       (232658333*s[24])/21384 + (5475073127*s[25])/384912 - 
       (2967854063*s[26])/384912 + 2*s[29] - 2*s[30] - (8*s[31])/3 + 
       (4*s[32])/3 + s[33]/12 + (10*s[34])/3 + (16*s[35])/3 + 
       (427*s[36])/18 - (1309*s[37])/36 - (1034*s[38])/3 + (34699*s[39])/24 - 
       (116485*s[40])/72 + (30227*s[41])/24 - (151517*s[42])/72 - 
       (987191*s[43])/792 + (2124877*s[44])/1584 - (1135547*s[45])/792 + 
       (4485311*s[46])/396 - (2444819*s[47])/4752 - (626321*s[48])/4752 + 
       (27078401*s[49])/4752 - (1716185*s[50])/198 - (6877729*s[51])/4752 - 
       (5481607*s[52])/4752 + (7157665*s[53])/1188 - (29692*s[54])/99 + 
       (60320035*s[55])/1584 + (1793101*s[56])/176 - (6373861*s[57])/594 + 
       (253960961*s[58])/14256 - (256205801*s[59])/14256 - 
       (2626376177*s[60])/28512 + (53147665*s[61])/10692 + s[65]/3 + 
       (4*s[66])/3 - (8*s[67])/3 - (11*s[68])/3 - (8*s[69])/3 - (2*s[70])/3 - 
       s[71]/3 - (20*s[72])/3 + 4*s[73] + 7*s[74] - 7*s[75] + (22*s[76])/3 + 
       s[77]/3 - (32*s[78])/3 - (388*s[79])/3 + (683*s[80])/18 - 190*s[82] - 
       s[83] - 54*s[84] - 40*s[85]) + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((-61*s[2])/8 - (203*s[3])/16 - (144847*s[4])/288 - 
       (349781*s[5])/1056 - (2737523*s[6])/3168 - (18851963*s[7])/2376 + 
       (527689*s[8])/792 + (1928569*s[9])/288 + (18262*s[10])/9 + 
       (18528517*s[11])/2112 + (61412239*s[12])/6336 + 
       (55458955*s[13])/9504 + (1308847*s[14])/1584 + (8935429*s[15])/864 + 
       (126280897*s[16])/9504 + (189531223*s[17])/19008 + 
       (1903715*s[18])/1296 + (2943515*s[19])/2592 + (445801007*s[20])/
        28512 + (159867931*s[21])/28512 - (19885147*s[22])/4752 - 
       (181218349*s[23])/19008 - (54261611*s[24])/6336 + 
       (2883291883*s[25])/256608 - (97598953*s[26])/16038 + (2*s[29])/3 - 
       (3*s[30])/2 - (14*s[31])/3 + s[32]/6 - (193*s[33])/48 + (49*s[34])/6 + 
       (35*s[35])/12 + (653*s[36])/36 - (239*s[37])/8 - (1153*s[38])/4 + 
       (18325*s[39])/16 - (183833*s[40])/144 + (3007*s[41])/3 - 
       (52565*s[42])/32 - (1606843*s[43])/1584 + (212165*s[44])/198 - 
       (1860931*s[45])/1584 + (7248709*s[46])/792 - (589045*s[47])/1584 - 
       (11575*s[48])/66 + (4888819*s[49])/1056 - (5567041*s[50])/792 - 
       (10663181*s[51])/9504 - (1442879*s[52])/1584 + (7656853*s[53])/1584 - 
       (37439*s[54])/396 + (97254581*s[55])/3168 + (2872421*s[56])/352 - 
       (2941977*s[57])/352 + (2520657*s[58])/176 - (2852107*s[59])/198 - 
       (1425450703*s[60])/19008 + (85360087*s[61])/21384 + s[65]/12 + 
       s[66]/3 - (5*s[67])/6 - (11*s[68])/6 + s[69]/6 - (4*s[70])/3 + 
       (5*s[71])/12 - (29*s[72])/6 + (13*s[73])/6 + (41*s[74])/8 - 
       (41*s[75])/8 + (47*s[76])/6 + (11*s[77])/12 - (35*s[78])/6 - 
       (289*s[79])/3 + (697*s[80])/36 - (413*s[82])/3 - s[83]/4 - 
       (101*s[84])/2 - 40*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v]*(-16*s[2] + (13*s[3])/2 - (1043*s[4])/4 - 
       (19485*s[5])/44 - (28837*s[6])/44 - (2714419*s[7])/396 + 
       (552749*s[8])/1188 + (645757*s[9])/108 + (99613*s[10])/54 + 
       (2954521*s[11])/396 + (6352195*s[12])/792 + (1233917*s[13])/264 + 
       (949679*s[14])/792 + (56287*s[15])/6 + (3049231*s[16])/264 + 
       (1803205*s[17])/198 + (220765*s[18])/162 + (305269*s[19])/324 + 
       (25369889*s[20])/1782 + (38225585*s[21])/7128 - 
       (25934893*s[22])/7128 - (955049*s[23])/132 - (6706175*s[24])/891 + 
       (148582421*s[25])/16038 - (171397609*s[26])/32076 + 2*s[27] - s[30] - 
       13*s[31] - 2*s[32] - s[33]/2 + 15*s[34] + 2*s[35] + (223*s[36])/6 - 
       (55*s[37])/2 - 306*s[38] + (7917*s[39])/8 - (25339*s[40])/24 + 
       (6417*s[41])/8 - (31823*s[42])/24 - (24595*s[43])/24 + 
       (44183*s[44])/48 - (2563*s[45])/2 + (210409*s[46])/24 - 
       (34495*s[47])/144 - (36037*s[48])/144 + (657829*s[49])/144 - 
       (40513*s[50])/6 - (118373*s[51])/144 - (103313*s[52])/144 + 
       (351059*s[53])/72 + (650*s[54])/3 + (1499831*s[55])/48 + 
       (1070815*s[56])/144 - (93658*s[57])/27 + (16114769*s[58])/1296 - 
       (17033399*s[59])/1296 - (64024243*s[60])/864 + 
       (43809371*s[61])/11664 - 4*s[62] - 10*s[68] + 6*s[69] - 2*s[70] - 
       2*s[72] + 2*s[73] + s[74]/2 - s[75]/2 + 15*s[76] - 9*s[77] - 9*s[78] + 
       22*s[79] - 40*s[80] - 212*s[82] - 24*s[84] - 40*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      (4*s[2] - (1073*s[3])/12 - (5917*s[4])/12 - (1449*s[5])/8 - 
       (3371*s[6])/6 - (2610613*s[7])/432 + (51377*s[8])/81 + 
       (3184375*s[9])/648 + (242405*s[10])/162 + (2927509*s[11])/432 + 
       (1662703*s[12])/216 + (36609*s[13])/8 - (28349*s[14])/432 + 
       (375623*s[15])/48 + (735377*s[16])/72 + (198410*s[17])/27 + 
       (3729973*s[18])/3888 + (4720571*s[19])/3888 + (44188585*s[20])/3888 + 
       (14338411*s[21])/3888 - (12089153*s[22])/3888 - (94409*s[23])/12 - 
       (13139539*s[24])/1944 + (158777201*s[25])/17496 - 
       (78575771*s[26])/17496 + 6*s[29] - 3*s[30] + 3*s[31] + (13*s[32])/6 + 
       (145*s[33])/12 - 2*s[34] + 3*s[35] + (70*s[36])/3 + (11*s[37])/18 - 
       (931*s[38])/4 + (20441*s[39])/24 - (7483*s[40])/8 + (5913*s[41])/8 - 
       (9345*s[42])/8 - (80009*s[43])/88 + (237587*s[44])/264 - 
       (127517*s[45])/99 + (6879469*s[46])/792 - (12091*s[47])/88 - 
       (41131*s[48])/88 + (2260745*s[49])/528 - (300185*s[50])/44 - 
       (1256531*s[51])/1584 - (77659*s[52])/132 + (11491061*s[53])/2376 + 
       (290515*s[54])/792 + (6159631*s[55])/198 + (36316211*s[56])/4752 - 
       (4242031*s[57])/1782 + (515892793*s[58])/42768 - 
       (534813907*s[59])/42768 - (700076131*s[60])/9504 + 
       (1556432803*s[61])/384912 - s[64]/2 + (7*s[65])/6 + (14*s[66])/3 - 
       (22*s[67])/3 - s[68]/3 - (40*s[69])/3 - (28*s[70])/3 + (5*s[71])/6 - 
       (14*s[72])/3 + (16*s[73])/3 + (19*s[74])/6 - (11*s[75])/3 - 
       (11*s[76])/3 + (31*s[77])/3 - (29*s[78])/3 + (104*s[79])/3 - 
       (263*s[80])/18 - 311*s[82] - (29*s[83])/4 + (3*s[84])/2 - 38*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-17*s[2])/18 - (959*s[3])/24 + (13697*s[4])/144 + (37823*s[5])/528 + 
       (137701*s[6])/792 + (12723413*s[7])/9504 - (1120645*s[8])/7128 - 
       (1495189*s[9])/1296 - (205181*s[10])/1296 - (14496059*s[11])/9504 - 
       (2128793*s[12])/1188 - (3655873*s[13])/3168 + (839269*s[14])/9504 - 
       (1304561*s[15])/864 - (797477*s[16])/396 - (11474701*s[17])/9504 - 
       (146389*s[18])/486 - (12479*s[19])/1944 - (48602963*s[20])/21384 - 
       (77991119*s[21])/85536 + (61818913*s[22])/85536 + 
       (3924443*s[23])/1584 + (49493591*s[24])/42768 - 
       (1559524979*s[25])/769824 + (846782723*s[26])/769824 + s[29]/3 + 
       s[30]/3 + (23*s[31])/9 + s[32]/2 - (25*s[33])/12 - (23*s[34])/18 + 
       (17*s[35])/9 - (749*s[36])/54 + (3079*s[37])/108 + (389*s[38])/4 - 
       (4421*s[39])/12 + (41539*s[40])/108 - (2303*s[41])/8 + 
       (60983*s[42])/108 + (291755*s[43])/1188 - (145657*s[44])/594 + 
       (394157*s[45])/2376 - (470971*s[46])/264 + (1658441*s[47])/7128 - 
       (1571797*s[48])/7128 - (14235883*s[49])/14256 + (749245*s[50])/594 + 
       (5386985*s[51])/14256 + (311870*s[52])/891 - (178513*s[53])/198 + 
       (58609*s[54])/264 - (6249533*s[55])/1188 - (22384055*s[56])/14256 + 
       (45937535*s[57])/10692 - (454126681*s[58])/128304 + 
       (455355919*s[59])/128304 + (1095998149*s[60])/85536 - 
       (388139033*s[61])/577368 + s[62]/6 + s[65]/6 + (2*s[66])/3 - 
       (2*s[67])/3 + (55*s[68])/9 - (125*s[69])/18 - (7*s[70])/6 - s[71]/2 - 
       (4*s[73])/3 - (31*s[74])/18 + (31*s[75])/18 - (35*s[76])/9 + 
       (73*s[77])/9 + (14*s[78])/9 + (182*s[79])/9 + (182*s[80])/27 - 
       (1355*s[82])/6 - s[83]/2 + 27*s[84] - (112*s[85])/3) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((-55*s[2])/12 - (1441*s[3])/72 - (147*s[4])/16 - (4181*s[5])/66 - 
       (359057*s[6])/3168 - (32102305*s[7])/28512 + (2867941*s[8])/85536 + 
       (7416563*s[9])/7776 + (1813943*s[10])/3888 + (67792039*s[11])/57024 + 
       (67480559*s[12])/57024 + (19072921*s[13])/28512 + 
       (13644023*s[14])/28512 + (4358699*s[15])/2592 + 
       (58212877*s[16])/28512 + (11815403*s[17])/6336 + 
       (3850813*s[18])/23328 + (6872627*s[19])/23328 + 
       (336442387*s[20])/128304 + (240715751*s[21])/256608 - 
       (74822579*s[22])/128304 - (7967023*s[23])/57024 - 
       (769257359*s[24])/513216 + (6460798831*s[25])/4618944 - 
       (3885666847*s[26])/4618944 + s[31]/9 - s[32]/12 - (115*s[33])/72 + 
       (19*s[34])/18 - s[35]/18 - s[36] + (139*s[37])/27 - (317*s[38])/18 + 
       (1141*s[39])/144 - (4093*s[40])/144 + (1319*s[41])/144 + 
       (272*s[42])/9 - (4915*s[43])/48 + (2387*s[44])/24 - 
       (108277*s[45])/432 + (66629*s[46])/54 + (41663*s[47])/432 - 
       (7261*s[48])/27 + (218911*s[49])/432 - (4023*s[50])/4 - 
       (551*s[51])/216 + (10687*s[52])/432 + (908117*s[53])/1296 + 
       (26453*s[54])/216 + (2180677*s[55])/432 + (1561519*s[56])/1296 + 
       (7288277*s[57])/3888 + (6778471*s[58])/5832 - (896027*s[59])/729 - 
       (2585407*s[60])/216 + (136977691*s[61])/209952 + (7*s[68])/6 - 
       (7*s[69])/6 + s[70]/9 + s[72]/9 - (37*s[73])/9 - s[74]/12 + s[75]/12 + 
       (19*s[76])/18 + s[77] + s[78]/9 + (16*s[79])/9 - (47*s[80])/54 - 
       (2251*s[82])/12 + (2*s[84])/3 - (110*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*M1[w, u, v]*(-2*s[2] - (31*s[3])/2 - 
       (65*s[4])/8 - (695*s[5])/11 - (1158*s[6])/11 - (1474219*s[7])/1584 + 
       (17291*s[8])/594 + (170527*s[9])/216 + (11173*s[10])/27 + 
       (749521*s[11])/792 + (1387783*s[12])/1584 + (740677*s[13])/1584 + 
       (722357*s[14])/1584 + (216269*s[15])/144 + (1404677*s[16])/792 + 
       (464797*s[17])/264 + (12574*s[18])/81 + (153871*s[19])/648 + 
       (7955609*s[20])/3564 + (12277295*s[21])/14256 - 
       (6778345*s[22])/14256 - (202139*s[23])/1584 - (17793487*s[24])/14256 + 
       (135377309*s[25])/128304 - (90396785*s[26])/128304 + s[30] + 2*s[31] + 
       s[32]/2 + 3*s[33] - 5*s[34] - 3*s[35] - (11*s[36])/3 + (37*s[37])/3 + 
       (11*s[38])/2 - (177*s[39])/8 + (139*s[40])/24 + (49*s[41])/8 + 
       (1211*s[42])/24 - (18031*s[43])/264 + (29471*s[44])/528 - 
       (51499*s[45])/264 + (125881*s[46])/132 + (153083*s[47])/1584 - 
       (328123*s[48])/1584 + (547669*s[49])/1584 - (54979*s[50])/66 + 
       (56359*s[51])/1584 + (101491*s[52])/1584 + (244817*s[53])/396 + 
       (22105*s[54])/132 + (2270969*s[55])/528 + (503021*s[56])/528 + 
       (126223*s[57])/66 + (3548297*s[58])/4752 - (4242065*s[59])/4752 - 
       (88789285*s[60])/9504 + (11528531*s[61])/21384 + 2*s[68] - 2*s[69] - 
       2*s[70] - s[74] + s[75] - 4*s[76] + 3*s[77] + 4*s[78] + (17*s[80])/3 - 
       195*s[82] - 36*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      Omega2[w, u, v]*(2*s[2] - (107*s[3])/4 - (121*s[4])/8 - 
       (1883*s[5])/44 - (7343*s[6])/88 - (381787*s[7])/528 + 
       (11909*s[8])/792 + (21659*s[9])/36 + (6383*s[10])/18 + 
       (379517*s[11])/528 + (168251*s[12])/264 + (175717*s[13])/528 + 
       (219767*s[14])/528 + (58381*s[15])/48 + (374153*s[16])/264 + 
       (261729*s[17])/176 + (11755*s[18])/108 + (48199*s[19])/216 + 
       (4259149*s[20])/2376 + (3170549*s[21])/4752 - (1709281*s[22])/4752 + 
       (4841*s[23])/66 - (297226*s[24])/297 + (2114165*s[25])/2673 - 
       (5703353*s[26])/10692 + 4*s[31] + s[32] + 3*s[33] - 6*s[34] - 
       7*s[35] - (14*s[36])/3 + (77*s[37])/6 + 14*s[38] - (207*s[39])/4 + 
       (401*s[40])/12 - (57*s[41])/4 + (274*s[42])/3 - (5261*s[43])/132 + 
       (9727*s[44])/264 - (10841*s[45])/66 + (32271*s[46])/44 + 
       (90205*s[47])/792 - (177821*s[48])/792 + (178559*s[49])/792 - 
       (22238*s[50])/33 + (44801*s[51])/792 + (69599*s[52])/792 + 
       (64549*s[53])/132 + (1558*s[54])/11 + (933659*s[55])/264 + 
       (611653*s[56])/792 + (2584573*s[57])/1188 + (2761787*s[58])/7128 - 
       (3610901*s[59])/7128 - (36276089*s[60])/4752 + 
       (27760067*s[61])/64152 + 4*s[68] - 4*s[69] - s[74]/2 + s[75]/2 - 
       4*s[76] + 4*s[77] + 4*s[78] - 8*s[79] + (25*s[80])/3 - 186*s[82] - 
       36*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Omega2[v, w, u]*
      ((-85*s[2])/12 - (139*s[3])/8 - (24947*s[4])/48 - (101053*s[5])/264 - 
       (502787*s[6])/528 - (81875987*s[7])/9504 + (10597589*s[8])/14256 + 
       (588022*s[9])/81 + (357025*s[10])/162 + (90251213*s[11])/9504 + 
       (12444731*s[12])/1188 + (19870933*s[13])/3168 + (9499601*s[14])/9504 + 
       (3253327*s[15])/288 + (954383*s[16])/66 + (103992979*s[17])/9504 + 
       (791863*s[18])/486 + (4669933*s[19])/3888 + (729440017*s[20])/42768 + 
       (527485163*s[21])/85536 - (387157891*s[22])/85536 - 
       (4107193*s[23])/396 - (198522169*s[24])/21384 + 
       (4668862063*s[25])/384912 - (2554372759*s[26])/384912 + 2*s[29] - 
       (3*s[30])/2 - (10*s[31])/3 + (2*s[32])/3 + (25*s[33])/6 + 
       (19*s[34])/6 + (19*s[35])/6 + (403*s[36])/18 - (145*s[37])/4 - 
       (1793*s[38])/6 + (14761*s[39])/12 - (49325*s[40])/36 + 
       (2117*s[41])/2 - (64117*s[42])/36 - (419797*s[43])/396 + 
       (1795483*s[44])/1584 - (326971*s[45])/264 + (7657769*s[46])/792 - 
       (2107517*s[47])/4752 - (511769*s[48])/4752 + (22907207*s[49])/4752 - 
       (1455953*s[50])/198 - (5829481*s[51])/4752 - (4721719*s[52])/4752 + 
       (6076283*s[53])/1188 - (29243*s[54])/99 + (51351431*s[55])/1584 + 
       (41437673*s[56])/4752 - (66105019*s[57])/7128 + 
       (653488225*s[58])/42768 - (656765827*s[59])/42768 - 
       (2236274015*s[60])/28512 + (1642932979*s[61])/384912 + s[65]/3 + 
       (4*s[66])/3 - (8*s[67])/3 - (11*s[68])/3 - (5*s[69])/3 + s[70]/3 - 
       s[71]/3 - (13*s[72])/3 + (5*s[73])/3 + (65*s[74])/12 - (65*s[75])/12 + 
       7*s[76] - (5*s[77])/6 - (23*s[78])/3 - 96*s[79] + (157*s[80])/6 - 
       200*s[82] - s[83] - 42*s[84] - 36*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Omega2[w, u, v]*
      ((-37*s[2])/6 - (143*s[3])/12 - (6277*s[4])/12 - (101807*s[5])/264 - 
       (249527*s[6])/264 - (41103715*s[7])/4752 + (5348579*s[8])/7128 + 
       (2360573*s[9])/324 + (1438427*s[10])/648 + (45291563*s[11])/4752 + 
       (24982373*s[12])/2376 + (29865967*s[13])/4752 + (4731647*s[14])/4752 + 
       (4913333*s[15])/432 + (34504001*s[16])/2376 + (17407619*s[17])/1584 + 
       (395140*s[18])/243 + (2369809*s[19])/1944 + (366452059*s[20])/21384 + 
       (265205975*s[21])/42768 - (194484733*s[22])/42768 - 
       (24728335*s[23])/2376 - (199689815*s[24])/21384 + 
       (585706753*s[25])/48114 - (160344320*s[26])/24057 + 2*s[29] - 
       (3*s[30])/2 - (5*s[31])/3 + s[32]/3 + (23*s[33])/24 + (11*s[34])/6 + 
       (13*s[35])/3 + (179*s[36])/9 - (545*s[37])/18 - (932*s[38])/3 + 
       (7609*s[39])/6 - (25477*s[40])/18 + (6587*s[41])/6 - 
       (32897*s[42])/18 - (221489*s[43])/198 + (941993*s[44])/792 - 
       (525403*s[45])/396 + (4052915*s[46])/396 - (997705*s[47])/2376 - 
       (423373*s[48])/2376 + (12174727*s[49])/2376 - (775768*s[50])/99 - 
       (2955269*s[51])/2376 - (2377421*s[52])/2376 + (3239933*s[53])/594 - 
       (43877*s[54])/198 + (27459827*s[55])/792 + (7290467*s[56])/792 - 
       (391199*s[57])/44 + (113477879*s[58])/7128 - (114731717*s[59])/7128 - 
       (1193547451*s[60])/14256 + (290579269*s[61])/64152 + s[65]/3 + 
       (4*s[66])/3 - (8*s[67])/3 - (8*s[68])/3 - (8*s[69])/3 - (2*s[70])/3 - 
       s[71]/3 - (14*s[72])/3 + 2*s[73] + (11*s[74])/2 - (11*s[75])/2 + 
       (16*s[76])/3 + s[77]/3 - (26*s[78])/3 - (292*s[79])/3 + 
       (253*s[80])/9 - 200*s[82] - s[83] - 42*s[84] - 36*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((-193*s[2])/72 + (943*s[3])/144 - (84199*s[4])/288 - 
       (54061*s[5])/198 - (248995*s[6])/396 - (104200739*s[7])/19008 + 
       (668135*s[8])/1584 + (447541*s[9])/96 + (13748*s[10])/9 + 
       (18817475*s[11])/3168 + (4473633*s[12])/704 + (71502823*s[13])/19008 + 
       (6305009*s[14])/6336 + (12965797*s[15])/1728 + (44612389*s[16])/4752 + 
       (2246696*s[17])/297 + (168701*s[18])/162 + (2019205*s[19])/2592 + 
       (79840213*s[20])/7128 + (239204113*s[21])/57024 - 
       (2031503*s[22])/704 - (110931047*s[23])/19008 - 
       (38252899*s[24])/6336 + (3796176133*s[25])/513216 - 
       (2180349073*s[26])/513216 - s[30]/12 - (8*s[31])/9 + (257*s[32])/72 + 
       (63*s[33])/16 - (47*s[34])/9 - (7*s[35])/4 + (2525*s[36])/216 - 
       (2219*s[37])/216 - (10309*s[38])/72 + (21085*s[39])/32 - 
       (640451*s[40])/864 + (176687*s[41])/288 - (831007*s[42])/864 - 
       (5717977*s[43])/9504 + (1500385*s[44])/2376 - (3646975*s[45])/4752 + 
       (6176045*s[46])/1056 - (1415351*s[47])/7128 - (3056153*s[48])/28512 + 
       (19639079*s[49])/7128 - (10793173*s[50])/2376 - 
       (17803405*s[51])/28512 - (14740579*s[52])/28512 + 
       (30543649*s[53])/9504 - (95111*s[54])/792 + (194884483*s[55])/9504 + 
       (38738347*s[56])/7128 - (353638189*s[57])/85536 + 
       (2271670457*s[58])/256608 - (2319583865*s[59])/256608 - 
       (513454787*s[60])/10692 + (6163352183*s[61])/2309472 + (11*s[68])/18 - 
       (11*s[69])/18 + s[70]/6 + s[71]/24 - (11*s[72])/6 + (3*s[73])/2 + 
       (19*s[74])/8 - (19*s[75])/8 - (31*s[76])/18 + (11*s[77])/12 - 
       (11*s[78])/9 - (1273*s[79])/18 + (2581*s[80])/108 - (707*s[82])/4 - 
       31*s[84] - 36*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*((9*s[2])/8 - (935*s[3])/48 - 
       (526*s[4])/3 - (121087*s[5])/1056 - (116363*s[6])/352 - 
       (24997235*s[7])/9504 + (169885*s[8])/792 + (210251*s[9])/96 + 
       (109307*s[10])/144 + (280168*s[11])/99 + (1584085*s[12])/528 + 
       (4251289*s[13])/2376 + (824149*s[14])/1584 + (3095009*s[15])/864 + 
       (43234651*s[16])/9504 + (35697515*s[17])/9504 + (1299847*s[18])/2592 + 
       (1054265*s[19])/2592 + (152620115*s[20])/28512 + 
       (27861971*s[21])/14256 - (12932875*s[22])/9504 - 
       (25244519*s[23])/9504 - (767047*s[24])/264 + (911066743*s[25])/
        256608 - (513417907*s[26])/256608 - s[29]/2 - (5*s[30])/24 + 
       (25*s[31])/12 + s[32]/2 + (103*s[33])/32 - (61*s[34])/8 - 
       (67*s[35])/12 + (43*s[36])/9 + (133*s[37])/36 - 48*s[38] + 
       (12523*s[39])/48 - (44833*s[40])/144 + (6697*s[41])/24 - 
       (54017*s[42])/144 - (428171*s[43])/1584 + (241603*s[44])/792 - 
       (174599*s[45])/396 + (4871065*s[46])/1584 - (412877*s[47])/9504 - 
       (1291535*s[48])/9504 + (2990333*s[49])/2376 - (3887117*s[50])/1584 - 
       (1347935*s[51])/4752 - (985121*s[52])/4752 + (4077643*s[53])/2376 - 
       (10577*s[54])/396 + (3963671*s[55])/352 + (131145*s[56])/44 - 
       (1949759*s[57])/2376 + (15431863*s[58])/3564 - (7738721*s[59])/1782 - 
       (368244425*s[60])/14256 + (32280269*s[61])/21384 - s[65]/12 - 
       s[66]/3 + (2*s[67])/3 + (25*s[68])/12 - s[69] + s[70]/6 - 
       (5*s[71])/12 - (3*s[72])/2 - (7*s[73])/6 + (13*s[74])/12 - 
       (13*s[75])/12 - (10*s[76])/3 + (29*s[77])/12 + 2*s[78] - 
       (229*s[79])/6 + (521*s[80])/36 - 199*s[82] + s[83]/4 - (29*s[84])/2 - 
       36*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - u]*((-15*s[2])/4 + (237*s[3])/8 + 
       (22767*s[4])/16 + (13007*s[5])/22 + (325297*s[6])/176 + 
       (56460077*s[7])/3168 - (8804555*s[8])/4752 - (800105*s[9])/54 - 
       (863197*s[10])/216 - (63154337*s[11])/3168 - (4467469*s[12])/198 - 
       (14523385*s[13])/1056 - (153929*s[14])/3168 - (2196149*s[15])/96 - 
       (5192719*s[16])/176 - (66714187*s[17])/3168 - (1871605*s[18])/648 - 
       (3712153*s[19])/1296 - (472171237*s[20])/14256 - 
       (317575751*s[21])/28512 + (266795743*s[22])/28512 + 
       (13086715*s[23])/528 + (271895513*s[24])/14256 - 
       (852511573*s[25])/32076 + (860374901*s[26])/64152 - 6*s[29] + 
       6*s[30] + 7*s[31] - 5*s[32] + (77*s[33])/8 - 20*s[34] - (49*s[35])/2 - 
       (337*s[36])/6 + (741*s[37])/8 + (3063*s[38])/4 - (25497*s[39])/8 + 
       (83827*s[40])/24 - (5351*s[41])/2 + (13918*s[42])/3 + 
       (681797*s[43])/264 - (1483279*s[44])/528 + (461169*s[45])/176 - 
       (11642419*s[46])/528 + (2007743*s[47])/1584 - (245563*s[48])/1584 - 
       (18813017*s[49])/1584 + (2233501*s[50])/132 + (5038015*s[51])/1584 + 
       (3964297*s[52])/1584 - (18564173*s[53])/1584 + (159079*s[54])/264 - 
       (38378683*s[55])/528 - (29732501*s[56])/1584 + (14786419*s[57])/594 - 
       (252207335*s[58])/7128 + (512994289*s[59])/14256 + 
       (422688779*s[60])/2376 - (2330200475*s[61])/256608 - (3*s[62])/4 - 
       s[65] - 4*s[66] + 8*s[67] + (7*s[68])/2 + (25*s[69])/2 - (5*s[70])/2 + 
       s[71]/4 + 16*s[72] - 20*s[73] - 17*s[74] + 17*s[75] - 21*s[76] - 
       (13*s[77])/2 + 32*s[78] + 240*s[79] - (215*s[80])/4 - 228*s[82] + 
       3*s[83] + 90*s[84] - 36*s[85]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((-475*s[2])/48 + (2453*s[3])/96 - 
       (54929*s[4])/192 - (234797*s[5])/792 - (3874015*s[6])/6336 - 
       (645298961*s[7])/114048 + (72616001*s[8])/171072 + 
       (4721437*s[9])/972 + (11569555*s[10])/7776 + (708540707*s[11])/
        114048 + (386629931*s[12])/57024 + (154915201*s[13])/38016 + 
       (99696221*s[14])/114048 + (2867465*s[15])/384 + 
       (19949129*s[16])/2112 + (825909685*s[17])/114048 + 
       (12718739*s[18])/11664 + (34644931*s[19])/46656 + 
       (5864251375*s[20])/513216 + (4388755511*s[21])/1026432 - 
       (3082797907*s[22])/1026432 - (29849893*s[23])/4752 - 
       (1576760671*s[24])/256608 + (35982022885*s[25])/4618944 - 
       (20405400271*s[26])/4618944 - (31*s[29])/18 - s[30]/8 - (28*s[31])/9 + 
       (221*s[32])/72 - (317*s[33])/144 + (191*s[34])/72 + (125*s[35])/72 + 
       (829*s[36])/108 - (37*s[37])/2 - (16657*s[38])/72 + 
       (239927*s[39])/288 - (801077*s[40])/864 + (68503*s[41])/96 - 
       (1003765*s[42])/864 - (7274107*s[43])/9504 + (14763941*s[44])/19008 - 
       (496579*s[45])/528 + (66182563*s[46])/9504 - (13713919*s[47])/57024 - 
       (10896445*s[48])/57024 + (195963193*s[49])/57024 - 
       (25356347*s[50])/4752 - (45660677*s[51])/57024 - 
       (38291807*s[52])/57024 + (105387089*s[53])/28512 - 
       (645553*s[54])/4752 + (150851275*s[55])/6336 + 
       (359206555*s[56])/57024 - (464881091*s[57])/85536 + 
       (5506381187*s[58])/513216 - (5564677949*s[59])/513216 - 
       (19727654083*s[60])/342144 + (14298792245*s[61])/4618944 - 
       (13*s[65])/36 - (13*s[66])/9 + (22*s[67])/9 + (29*s[68])/18 + 
       (52*s[69])/9 + (5*s[70])/18 + (31*s[71])/36 - (65*s[72])/36 - 
       (161*s[73])/36 + (35*s[74])/16 - (35*s[75])/16 + (149*s[76])/36 + 
       (17*s[77])/72 + (19*s[78])/36 - (199*s[79])/3 + (233*s[80])/18 - 
       (237*s[82])/2 + (13*s[83])/12 - (95*s[84])/3 - (107*s[85])/3) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((-679*s[2])/144 - (911*s[3])/96 - (11423*s[4])/64 - 
       (398479*s[5])/1584 - (3356399*s[6])/6336 - (500082923*s[7])/114048 + 
       (44541713*s[8])/171072 + (14627725*s[9])/3888 + 
       (10222555*s[10])/7776 + (539907803*s[11])/114048 + 
       (284119127*s[12])/57024 + (112003321*s[13])/38016 + 
       (128942537*s[14])/114048 + (20754299*s[15])/3456 + 
       (2974553*s[16])/396 + (706586437*s[17])/114048 + 
       (20744863*s[18])/23328 + (28183177*s[19])/46656 + 
       (4765171855*s[20])/513216 + (3662973971*s[21])/1026432 - 
       (2367379819*s[22])/1026432 - (75029125*s[23])/19008 - 
       (2523369941*s[24])/513216 + (26511756409*s[25])/4618944 - 
       (15894247933*s[26])/4618944 - s[27]/4 - (3*s[29])/2 + (29*s[30])/24 - 
       (5*s[31])/18 + s[32]/18 + (227*s[33])/144 - (209*s[34])/72 - 
       (35*s[35])/72 - (61*s[36])/108 - (329*s[37])/48 - (2173*s[38])/18 + 
       (132481*s[39])/288 - (460579*s[40])/864 + (122825*s[41])/288 - 
       (277747*s[42])/432 - (4440893*s[43])/9504 + (8968273*s[44])/19008 - 
       (629947*s[45])/1056 + (1278757*s[46])/297 - (5295731*s[47])/57024 - 
       (12197549*s[48])/57024 + (117091307*s[49])/57024 - 
       (15645229*s[50])/4752 - (25758583*s[51])/57024 - 
       (21292663*s[52])/57024 + (64957723*s[53])/28512 - 
       (132881*s[54])/1188 + (93981071*s[55])/6336 + (229175789*s[56])/
        57024 - (231205729*s[57])/85536 + (3316754629*s[58])/513216 - 
       (3326746483*s[59])/513216 - (12309227123*s[60])/342144 + 
       (9082459495*s[61])/4618944 - (23*s[65])/36 - (23*s[66])/9 + 
       (59*s[67])/18 + (10*s[68])/9 + (49*s[69])/9 - (13*s[70])/18 + 
       (43*s[71])/72 + (11*s[72])/36 - (133*s[73])/36 + (59*s[74])/144 - 
       (59*s[75])/144 - s[76]/4 + s[77]/72 + (181*s[78])/36 - (323*s[79])/6 + 
       (419*s[80])/24 - (617*s[82])/6 + (23*s[83])/12 - 29*s[84] - 
       (101*s[85])/3) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*((-445*s[2])/72 - (1493*s[3])/144 - 
       (95735*s[4])/288 - (392831*s[5])/1584 - (258523*s[6])/396 - 
       (3902337*s[7])/704 + (1089013*s[8])/2376 + (4041467*s[9])/864 + 
       (636185*s[10])/432 + (2401951*s[11])/396 + (41770001*s[12])/6336 + 
       (25130011*s[13])/6336 + (4933339*s[14])/6336 + (12675449*s[15])/1728 + 
       (29674405*s[16])/3168 + (7696573*s[17])/1056 + (671731*s[18])/648 + 
       (2045423*s[19])/2592 + (78750065*s[20])/7128 + 
       (229811731*s[21])/57024 - (165731705*s[22])/57024 - 
       (4351031*s[23])/704 - (344221169*s[24])/57024 + 
       (3947580415*s[25])/513216 - (2187591823*s[26])/513216 - s[30]/6 - 
       (37*s[31])/18 + (41*s[32])/72 + (7*s[33])/24 + (79*s[34])/36 + 
       (67*s[35])/36 + (3089*s[36])/216 - (595*s[37])/72 - (11917*s[38])/72 + 
       (212401*s[39])/288 - (711335*s[40])/864 + (64213*s[41])/96 - 
       (921655*s[42])/864 - (6333061*s[43])/9504 + (1670611*s[44])/2376 - 
       (3860743*s[45])/4752 + (19828723*s[46])/3168 - (823699*s[47])/3564 - 
       (3359255*s[48])/28512 + (10728445*s[49])/3564 - (1428398*s[50])/297 - 
       (20723893*s[51])/28512 - (16723495*s[52])/28512 + 
       (31967807*s[53])/9504 - (125401*s[54])/792 + (22560331*s[55])/1056 + 
       (10159903*s[56])/1782 - (428414299*s[57])/85536 + 
       (2465788499*s[58])/256608 - (2481826139*s[59])/256608 - 
       (4367064025*s[60])/85536 + (6516732389*s[61])/2309472 + (5*s[68])/18 - 
       (5*s[69])/18 - (5*s[71])/24 - (13*s[72])/6 - (5*s[73])/2 + 
       (229*s[74])/72 - (229*s[75])/72 + (20*s[76])/9 + (25*s[77])/36 - 
       (43*s[78])/18 - (1021*s[79])/18 + (1657*s[80])/108 - (1769*s[82])/12 - 
       35*s[84] - (100*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - w]*((16*s[2])/3 - 18*s[3] + (8*s[4])/3 - 
       (733*s[5])/33 - (7247*s[6])/132 - (26428*s[7])/99 - (5441*s[8])/297 + 
       (11767*s[9])/54 + (22141*s[10])/108 + (100913*s[11])/396 + 
       (137507*s[12])/792 + (52601*s[13])/792 + (272467*s[14])/792 + 
       (4699*s[15])/9 + (498605*s[16])/792 + (51089*s[17])/66 + 
       (18709*s[18])/324 + (17485*s[19])/162 + (1540729*s[20])/1782 + 
       (2660065*s[21])/7128 - (923057*s[22])/7128 + (157603*s[23])/396 - 
       (828941*s[24])/1782 + (12603433*s[25])/64152 - 
       (14707471*s[26])/64152 + (16*s[31])/3 + 4*s[33] - (32*s[34])/3 - 
       (32*s[35])/3 - (47*s[36])/9 + (131*s[37])/9 + (61*s[38])/3 - 
       (521*s[39])/6 + (1243*s[40])/18 - (133*s[41])/3 + (1345*s[42])/9 + 
       (1739*s[43])/198 - (2213*s[44])/792 - (17783*s[45])/198 + 
       (8113*s[46])/33 + (275587*s[47])/2376 - (474965*s[48])/2376 + 
       (24551*s[49])/2376 - (25574*s[50])/99 + (225791*s[51])/2376 + 
       (241049*s[52])/2376 + (67565*s[53])/396 + (8369*s[54])/66 + 
       (1227845*s[55])/792 + (927349*s[56])/2376 + (1558267*s[57])/891 - 
       (2422963*s[58])/21384 + (1834831*s[59])/21384 - 
       (48300305*s[60])/14256 + (5180467*s[61])/24057 + (8*s[68])/3 - 
       (8*s[69])/3 - (4*s[74])/3 + (4*s[75])/3 - (16*s[76])/3 + (8*s[77])/3 + 
       (16*s[78])/3 - (32*s[79])/3 + (112*s[80])/9 - 196*s[82] - 32*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - w]*
      (-4*s[2] - (80*s[3])/3 - (263*s[4])/24 - (1893*s[5])/44 - 
       (7747*s[6])/88 - (133989*s[7])/176 + (18023*s[8])/2376 + 
       (69551*s[9])/108 + (18185*s[10])/54 + (1291673*s[11])/1584 + 
       (631805*s[12])/792 + (716561*s[13])/1584 + (597539*s[14])/1584 + 
       (18355*s[15])/16 + (566051*s[16])/396 + (2126195*s[17])/1584 + 
       (19769*s[18])/162 + (133069*s[19])/648 + (13205869*s[20])/7128 + 
       (9961073*s[21])/14256 - (5603029*s[22])/14256 - (37559*s[23])/792 - 
       (7387859*s[24])/7128 + (59252455*s[25])/64152 - 
       (38570113*s[26])/64152 + (4*s[32])/3 + 10*s[37] - (9*s[38])/2 - 
       (257*s[39])/24 - (131*s[40])/24 + (91*s[41])/8 + (465*s[42])/8 - 
       (5019*s[43])/88 + (12631*s[44])/176 - (48337*s[45])/264 + 
       (113831*s[46])/132 + (147745*s[47])/1584 - (330689*s[48])/1584 + 
       (570305*s[49])/1584 - (93883*s[50])/132 + (8891*s[51])/176 + 
       (68393*s[52])/1584 + (16070*s[53])/33 + (9457*s[54])/66 + 
       (646317*s[55])/176 + (1384663*s[56])/1584 + (1780991*s[57])/1188 + 
       (11064071*s[58])/14256 - (12122651*s[59])/14256 - 
       (81804941*s[60])/9504 + (29543593*s[61])/64152 + (8*s[68])/3 - 
       (8*s[69])/3 + (8*s[77])/3 - 195*s[82] - 32*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - w]*
      (-4*s[2] - (80*s[3])/3 - (251*s[4])/12 - (2339*s[5])/66 - 
       (1143*s[6])/11 - (615419*s[7])/792 + (4501*s[8])/297 + 
       (69581*s[9])/108 + (8662*s[10])/27 + (167989*s[11])/198 + 
       (676289*s[12])/792 + (411185*s[13])/792 + (274861*s[14])/792 + 
       (80465*s[15])/72 + (284417*s[16])/198 + (57561*s[17])/44 + 
       (32971*s[18])/324 + (35905*s[19])/162 + (1595537*s[20])/891 + 
       (4607653*s[21])/7128 - (2845685*s[22])/7128 - (36745*s[23])/792 - 
       (7676609*s[24])/7128 + (64384219*s[25])/64152 - 
       (38665945*s[26])/64152 + (4*s[32])/3 + 8*s[37] - 9*s[38] - 
       (31*s[39])/12 - (161*s[40])/12 + (199*s[41])/12 + (571*s[42])/12 - 
       (9043*s[43])/132 + (20747*s[44])/264 - (22807*s[45])/132 + 
       (55741*s[46])/66 + (7635*s[47])/88 - (20195*s[48])/88 + 
       (102313*s[49])/264 - (7537*s[50])/11 + (26117*s[51])/792 + 
       (2911*s[52])/88 + (29647*s[53])/66 + (4165*s[54])/33 + 
       (2713855*s[55])/792 + (222883*s[56])/264 + (85765*s[57])/66 + 
       (635117*s[58])/792 - (661205*s[59])/792 - (4468403*s[60])/528 + 
       (786899*s[61])/1782 + (8*s[68])/3 - (8*s[69])/3 + (8*s[77])/3 - 
       192*s[82] - 32*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 1}, 1 - w]*((16*s[2])/3 - 18*s[3] + (145*s[4])/24 - 
       (4217*s[5])/132 - (14851*s[6])/264 - (157633*s[7])/528 - 
       (59111*s[8])/2376 + (27025*s[9])/108 + (24113*s[10])/108 + 
       (436591*s[11])/1584 + (137941*s[12])/792 + (103351*s[13])/1584 + 
       (650701*s[14])/1584 + (28043*s[15])/48 + (136295*s[16])/198 + 
       (1383253*s[17])/1584 + (20261*s[18])/324 + (76481*s[19])/648 + 
       (6978155*s[20])/7128 + (5931799*s[21])/14256 - (2072327*s[22])/14256 + 
       (406733*s[23])/792 - (3698131*s[24])/7128 + (13036475*s[25])/64152 - 
       (15667427*s[26])/64152 + (16*s[31])/3 + 4*s[33] - (32*s[34])/3 - 
       (32*s[35])/3 - (56*s[36])/9 + (89*s[37])/9 + (39*s[38])/2 - 
       (777*s[39])/8 + (5701*s[40])/72 - (1145*s[41])/24 + (12011*s[42])/72 + 
       (6335*s[43])/792 - (10075*s[44])/1584 - (78533*s[45])/792 + 
       (11669*s[46])/44 + (585473*s[47])/4752 - (995425*s[48])/4752 - 
       (6671*s[49])/4752 - (110045*s[50])/396 + (459187*s[51])/4752 + 
       (512905*s[52])/4752 + (19190*s[53])/99 + (6661*s[54])/66 + 
       (2743151*s[55])/1584 + (1966451*s[56])/4752 + (3702767*s[57])/1782 - 
       (7543721*s[58])/42768 + (6104693*s[59])/42768 - 
       (105886045*s[60])/28512 + (21695965*s[61])/96228 + (8*s[68])/3 - 
       (8*s[69])/3 - (4*s[74])/3 + (4*s[75])/3 - (16*s[76])/3 + (8*s[77])/3 + 
       (16*s[78])/3 - (32*s[79])/3 + (112*s[80])/9 - 191*s[82] - 32*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      (-4*s[2] - (68*s[3])/3 - (115*s[4])/12 - (2731*s[5])/66 - 
       (977*s[6])/11 - (592211*s[7])/792 + (91*s[8])/11 + (7561*s[9])/12 + 
       329*s[10] + (53579*s[11])/66 + (213175*s[12])/264 + 
       (366013*s[13])/792 + (100891*s[14])/264 + (79577*s[15])/72 + 
       (138623*s[16])/99 + (512641*s[17])/396 + (12437*s[18])/108 + 
       (10859*s[19])/54 + (541294*s[20])/297 + (1608259*s[21])/2376 - 
       (303857*s[22])/792 - (18017*s[23])/792 - (273491*s[24])/264 + 
       (19758085*s[25])/21384 - (12600151*s[26])/21384 + (4*s[32])/3 + 
       8*s[37] - (53*s[38])/3 + (97*s[39])/12 - (289*s[40])/12 + 
       (69*s[41])/4 + (499*s[42])/12 - (11395*s[43])/132 + 
       (27323*s[44])/264 - (19015*s[45])/132 + (17683*s[46])/22 + 
       (87595*s[47])/792 - (228083*s[48])/792 + (393563*s[49])/792 - 
       (7236*s[50])/11 + (30005*s[51])/792 + (32783*s[52])/792 + 
       (82153*s[53])/198 + (5999*s[54])/33 + (2500079*s[55])/792 + 
       (63961*s[56])/88 + (226793*s[57])/198 + (620533*s[58])/792 - 
       (227863*s[59])/264 - (40051043*s[60])/4752 + (1980211*s[61])/5346 + 
       (8*s[68])/3 - (8*s[69])/3 + (8*s[77])/3 - 182*s[82] - 32*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      ((-8*s[1])/3 + (16*s[2])/3 - (80*s[3])/3 - (115*s[4])/12 - 
       (2747*s[5])/66 - (981*s[6])/11 - (606899*s[7])/792 + (743*s[8])/99 + 
       (23323*s[9])/36 + (3053*s[10])/9 + (17949*s[11])/22 + 
       (209687*s[12])/264 + (365245*s[13])/792 + (102763*s[14])/264 + 
       (83225*s[15])/72 + (141371*s[16])/99 + (534625*s[17])/396 + 
       (12229*s[18])/108 + (11731*s[19])/54 + (548564*s[20])/297 + 
       (179467*s[21])/264 - (937507*s[22])/2376 + (40831*s[23])/792 - 
       (2511307*s[24])/2376 + (6653623*s[25])/7128 - (4224109*s[26])/7128 + 
       (4*s[32])/3 + 8*s[37] - (17*s[38])/3 - (191*s[39])/12 - s[40]/12 + 
       (21*s[41])/4 + (787*s[42])/12 - (8083*s[43])/132 + (17675*s[44])/264 - 
       (24247*s[45])/132 + (18547*s[46])/22 + (75211*s[47])/792 - 
       (173939*s[48])/792 + (281819*s[49])/792 - (7784*s[50])/11 + 
       (34325*s[51])/792 + (32159*s[52])/792 + (93961*s[53])/198 + 
       (4463*s[54])/33 + (2870063*s[55])/792 + (219371*s[56])/264 + 
       (336337*s[57])/198 + (1656287*s[58])/2376 - (1809167*s[59])/2376 - 
       (40865603*s[60])/4752 + (803357*s[61])/1782 + (8*s[68])/3 - 
       (8*s[69])/3 + (8*s[77])/3 - 182*s[82] - 32*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      (-4*s[2] - (80*s[3])/3 - (67*s[4])/12 - (3643*s[5])/66 - 
       (941*s[6])/11 - (636371*s[7])/792 + (193*s[8])/33 + (2755*s[9])/4 + 
       (1075*s[10])/3 + (54335*s[11])/66 + (202855*s[12])/264 + 
       (329629*s[13])/792 + (118363*s[14])/264 + (91577*s[15])/72 + 
       (148475*s[16])/99 + (589081*s[17])/396 + (15317*s[18])/108 + 
       (11003*s[19])/54 + (592090*s[20])/297 + (1791811*s[21])/2376 - 
       (324433*s[22])/792 + (31567*s[23])/792 - (848393*s[24])/792 + 
       (19492213*s[25])/21384 - (13200871*s[26])/21384 + (4*s[32])/3 - 
       4*s[36] + 8*s[37] - (5*s[38])/3 - (287*s[39])/12 + (95*s[40])/12 + 
       (5*s[41])/4 + (883*s[42])/12 - (7939*s[43])/132 + (13307*s[44])/264 - 
       (27895*s[45])/132 + (19411*s[46])/22 + (73387*s[47])/792 - 
       (153587*s[48])/792 + (241883*s[49])/792 - (8244*s[50])/11 + 
       (23861*s[51])/792 + (32591*s[52])/792 + (109993*s[53])/198 + 
       (2399*s[54])/33 + (3237935*s[55])/792 + (77593*s[56])/88 + 
       (459785*s[57])/198 + (433205*s[58])/792 - (543877*s[59])/792 - 
       (42051875*s[60])/4752 + (2488195*s[61])/5346 + (8*s[68])/3 - 
       (8*s[69])/3 + (8*s[77])/3 - 182*s[82] - 32*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((16*s[2])/3 - 18*s[3] + (133*s[4])/12 - (687*s[5])/22 - 
       (1697*s[6])/33 - (223463*s[7])/792 - (6745*s[8])/297 + 
       (25633*s[9])/108 + (5888*s[10])/27 + (52583*s[11])/198 + 
       (140593*s[12])/792 + (14687*s[13])/264 + (323693*s[14])/792 + 
       (39149*s[15])/72 + (86617*s[16])/132 + (162325*s[17])/198 + 
       (5489*s[18])/81 + (31933*s[19])/324 + (860752*s[20])/891 + 
       (2946707*s[21])/7128 - (993205*s[22])/7128 + (41627*s[23])/88 - 
       (3508081*s[24])/7128 + (11864657*s[25])/64152 - 
       (15272885*s[26])/64152 + (16*s[31])/3 + 4*s[33] - (32*s[34])/3 - 
       (32*s[35])/3 - (56*s[36])/9 + (113*s[37])/9 + 17*s[38] - 
       (365*s[39])/4 + (2645*s[40])/36 - (195*s[41])/4 + (5749*s[42])/36 + 
       (2551*s[43])/396 + (3565*s[44])/792 - (34621*s[45])/396 + 
       (5267*s[46])/22 + (297229*s[47])/2376 - (533909*s[48])/2376 + 
       (82055*s[49])/2376 - (25691*s[50])/99 + (225701*s[51])/2376 + 
       (264569*s[52])/2376 + (3695*s[53])/22 + (2699*s[54])/22 + 
       (1209751*s[55])/792 + (866869*s[56])/2376 + (1691197*s[57])/891 - 
       (3406159*s[58])/21384 + (2791999*s[59])/21384 - 
       (50909255*s[60])/14256 + (18628477*s[61])/96228 + (8*s[68])/3 - 
       (8*s[69])/3 - (4*s[74])/3 + (4*s[75])/3 - (16*s[76])/3 + (8*s[77])/3 + 
       (16*s[78])/3 - (32*s[79])/3 + (112*s[80])/9 - 182*s[82] - 32*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      (-4*s[1] + (40*s[2])/3 - 18*s[3] + (181*s[4])/12 - (815*s[5])/22 - 
       (1061*s[6])/33 - (210599*s[7])/792 - (7729*s[8])/297 + 
       (25393*s[9])/108 + (6164*s[10])/27 + (40331*s[11])/198 + 
       (55249*s[12])/792 - (7297*s[13])/264 + (338621*s[14])/792 + 
       (44141*s[15])/72 + (84793*s[16])/132 + (180085*s[17])/198 + 
       (5297*s[18])/81 + (36013*s[19])/324 + (859162*s[20])/891 + 
       (2938739*s[21])/7128 - (902245*s[22])/7128 + (52827*s[23])/88 - 
       (3289969*s[24])/7128 + (6211025*s[25])/64152 - 
       (13050629*s[26])/64152 + (16*s[31])/3 + 4*s[33] - (32*s[34])/3 - 
       (32*s[35])/3 - (56*s[36])/9 + (113*s[37])/9 + 29*s[38] - 
       (461*s[39])/4 + (3509*s[40])/36 - (243*s[41])/4 + (6613*s[42])/36 + 
       (12487*s[43])/396 - (25379*s[44])/792 - (42397*s[45])/396 + 
       (4547*s[46])/22 + (260077*s[47])/2376 - (371477*s[48])/2376 - 
       (253177*s[49])/2376 - (26663*s[50])/99 + (238661*s[51])/2376 + 
       (275369*s[52])/2376 + (4479*s[53])/22 + (2027*s[54])/22 + 
       (1423447*s[55])/792 + (898837*s[56])/2376 + (2195233*s[57])/891 - 
       (7484239*s[58])/21384 + (6170239*s[59])/21384 - 
       (45895463*s[60])/14256 + (21040549*s[61])/96228 + (8*s[68])/3 - 
       (8*s[69])/3 - (4*s[74])/3 + (4*s[75])/3 - (16*s[76])/3 + (8*s[77])/3 + 
       (16*s[78])/3 - (32*s[79])/3 + (112*s[80])/9 - 182*s[82] - 32*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      ((16*s[2])/3 - 18*s[3] + (133*s[4])/12 - (751*s[5])/22 - 
       (1709*s[6])/33 - (238151*s[7])/792 - (6973*s[8])/297 + 
       (27553*s[9])/108 + (6164*s[10])/27 + (52859*s[11])/198 + 
       (123793*s[12])/792 + (12319*s[13])/264 + (331421*s[14])/792 + 
       (43949*s[15])/72 + (91337*s[16])/132 + (177541*s[17])/198 + 
       (5333*s[18])/81 + (37165*s[19])/324 + (887314*s[20])/891 + 
       (3011891*s[21])/7128 - (1036165*s[22])/7128 + (136049*s[23])/264 - 
       (3657745*s[24])/7128 + (12077009*s[25])/64152 - 
       (15492581*s[26])/64152 + (16*s[31])/3 + 4*s[33] - (32*s[34])/3 - 
       (64*s[35])/3 - (92*s[36])/9 + (113*s[37])/9 + 21*s[38] - 
       (397*s[39])/4 + (2933*s[40])/36 - (211*s[41])/4 + (6037*s[42])/36 + 
       (3559*s[43])/396 - (6947*s[44])/792 - (40093*s[45])/396 + 
       (5699*s[46])/22 + (286573*s[47])/2376 - (478037*s[48])/2376 - 
       (22201*s[49])/2376 - (27959*s[50])/99 + (230597*s[51])/2376 + 
       (258089*s[52])/2376 + (13405*s[53])/66 + (2539*s[54])/22 + 
       (1402135*s[55])/792 + (935125*s[56])/2376 + (1924801*s[57])/891 - 
       (4494799*s[58])/21384 + (3388159*s[59])/21384 - 
       (52161191*s[60])/14256 + (21209029*s[61])/96228 + (8*s[68])/3 - 
       (8*s[69])/3 - (4*s[74])/3 + (4*s[75])/3 - (16*s[76])/3 + (8*s[77])/3 + 
       (16*s[78])/3 - (32*s[79])/3 + (112*s[80])/9 - 182*s[82] - 32*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-8*s[2])/3 - (56*s[3])/3 - (569*s[4])/12 - (2789*s[5])/33 - 
       (4087*s[6])/22 - (1261705*s[7])/792 + (49565*s[8])/594 + 
       (146405*s[9])/108 + (14872*s[10])/27 + (674615*s[11])/396 + 
       (1387469*s[12])/792 + (271321*s[13])/264 + (388255*s[14])/792 + 
       (54025*s[15])/24 + (92086*s[16])/33 + (477383*s[17])/198 + 
       (93583*s[18])/324 + (24791*s[19])/81 + (3093437*s[20])/891 + 
       (9232315*s[21])/7128 - (5909267*s[22])/7128 - (235307*s[23])/264 - 
       (13608401*s[24])/7128 + (131667223*s[25])/64152 - 
       (78749905*s[26])/64152 - (2*s[32])/3 + 6*s[37] - 28*s[38] + 
       (1195*s[39])/12 - (1435*s[40])/12 + (1189*s[41])/12 - 
       (1411*s[42])/12 - (6651*s[43])/44 + (39313*s[44])/264 - 
       (39145*s[45])/132 + (115969*s[46])/66 + (28745*s[47])/792 - 
       (138169*s[48])/792 + (570817*s[49])/792 - (15409*s[50])/11 - 
       (68665*s[51])/792 - (55283*s[52])/792 + (192329*s[53])/198 + 
       (1808*s[54])/33 + (5314253*s[55])/792 + (434609*s[56])/264 + 
       (150343*s[57])/198 + (190855*s[58])/88 - (1755055*s[59])/792 - 
       (73939777*s[60])/4752 + (4777907*s[61])/5346 + (2*s[68])/3 - 
       (2*s[69])/3 - 4*s[73] + (2*s[77])/3 - 164*s[82] - 32*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      (-5*s[2] - (80*s[3])/3 - (79*s[4])/12 - (1550*s[5])/33 - 
       (7795*s[6])/88 - (605309*s[7])/792 + (3035*s[8])/792 + 
       (46681*s[9])/72 + (6077*s[10])/18 + (142247*s[11])/176 + 
       (138073*s[12])/176 + (86803*s[13])/198 + (26963*s[14])/66 + 
       (83261*s[15])/72 + (141386*s[16])/99 + (2148847*s[17])/1584 + 
       (10099*s[18])/72 + (13507*s[19])/72 + (185323*s[20])/99 + 
       (846049*s[21])/1188 - (933221*s[22])/2376 - (82483*s[23])/1584 - 
       (4852861*s[24])/4752 + (38731993*s[25])/42768 - 
       (25771489*s[26])/42768 + (4*s[32])/3 + 8*s[37] - (23*s[38])/3 - 
       (67*s[39])/6 - (29*s[40])/6 + (47*s[41])/4 + (661*s[42])/12 - 
       (3923*s[43])/66 + (2188*s[44])/33 - (12095*s[45])/66 + 
       (9374*s[46])/11 + (36869*s[47])/396 - (82261*s[48])/396 + 
       (135067*s[49])/396 - (7827*s[50])/11 + (15685*s[51])/396 + 
       (3292*s[52])/99 + (48794*s[53])/99 + (2639*s[54])/33 + 
       (1439335*s[55])/396 + (29402*s[56])/33 + (303439*s[57])/198 + 
       (901561*s[58])/1188 - (242950*s[59])/297 - (10112705*s[60])/1188 + 
       (1112365*s[61])/2376 + (8*s[68])/3 - (8*s[69])/3 + (8*s[77])/3 - 
       164*s[82] - 32*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u]*((16*s[2])/3 - 18*s[3] + (57*s[4])/4 - 
       (464*s[5])/11 - (4165*s[6])/66 - (298699*s[7])/792 - (4459*s[8])/198 + 
       (11495*s[9])/36 + (4649*s[10])/18 + (10930*s[11])/33 + 
       (54617*s[12])/264 + (56723*s[13])/792 + (123625*s[14])/264 + 
       (18455*s[15])/24 + (82867*s[16])/99 + (210325*s[17])/198 + 
       (2279*s[18])/27 + (12847*s[19])/108 + (706127*s[20])/594 + 
       (421837*s[21])/792 - (427145*s[22])/2376 + (378767*s[23])/792 - 
       (1392407*s[24])/2376 + (574001*s[25])/2376 - (757289*s[26])/2376 + 
       (16*s[31])/3 + 4*s[33] - (32*s[34])/3 - (32*s[35])/3 - (56*s[36])/9 + 
       (89*s[37])/9 + 21*s[38] - (1205*s[39])/12 + (2975*s[40])/36 - 
       (683*s[41])/12 + (5881*s[42])/36 - (443*s[43])/396 - 
       (6443*s[44])/792 - (46003*s[45])/396 + (7419*s[46])/22 + 
       (311965*s[47])/2376 - (524321*s[48])/2376 + (27287*s[49])/2376 - 
       (33689*s[50])/99 + (272105*s[51])/2376 + (278093*s[52])/2376 + 
       (25853*s[53])/99 + (2399*s[54])/22 + (1753775*s[55])/792 + 
       (1247497*s[56])/2376 + (4150895*s[57])/1782 - (2704663*s[58])/21384 + 
       (431731*s[59])/21384 - (60933623*s[60])/14256 + 
       (13373639*s[61])/48114 + (8*s[68])/3 - (8*s[69])/3 - (4*s[74])/3 + 
       (4*s[75])/3 - (16*s[76])/3 + (8*s[77])/3 + (16*s[78])/3 - 
       (32*s[79])/3 + (112*s[80])/9 - 164*s[82] - 32*s[85]) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((-11*s[2])/2 - (68*s[3])/3 + (125*s[4])/8 - (883*s[5])/44 - 
       (14195*s[6])/264 - (431707*s[7])/1584 - (83717*s[8])/2376 + 
       (12617*s[9])/54 + (20279*s[10])/108 + (439609*s[11])/1584 + 
       (171187*s[12])/792 + (68243*s[13])/528 + (547219*s[14])/1584 + 
       (64837*s[15])/144 + (50011*s[16])/88 + (1051703*s[17])/1584 + 
       (6421*s[18])/162 + (65399*s[19])/648 + (6081203*s[20])/7128 + 
       (4704637*s[21])/14256 - (1967513*s[22])/14256 + (66707*s[23])/132 - 
       (1628471*s[24])/3564 + (15689921*s[25])/64152 - 
       (14142191*s[26])/64152 - s[32]/6 - 3*s[33] + 2*s[34] - (2*s[36])/3 + 
       (59*s[37])/6 + 8*s[38] - (1655*s[39])/24 + (429*s[40])/8 - 
       (285*s[41])/8 + (3295*s[42])/24 - (49*s[43])/88 + (4393*s[44])/528 - 
       (31751*s[45])/264 + (47789*s[46])/132 + (164365*s[47])/1584 - 
       (307865*s[48])/1584 + (92633*s[49])/1584 - (20275*s[50])/66 + 
       (132859*s[51])/1584 + (108041*s[52])/1584 + (25649*s[53])/132 + 
       (6865*s[54])/132 + (968995*s[55])/528 + (795895*s[56])/1584 + 
       (495653*s[57])/297 + (1476923*s[58])/14256 - (1229675*s[59])/14256 - 
       (40727009*s[60])/9504 + (16819183*s[61])/64152 + (8*s[68])/3 - 
       (8*s[69])/3 + 2*s[76] + (8*s[77])/3 - (4*s[80])/3 - 162*s[82] - 
       32*s[85]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((16*s[2])/3 - 18*s[3] + (299*s[4])/8 - (39*s[5])/44 - (159*s[6])/11 + 
       (148987*s[7])/528 - (23605*s[8])/297 - (50473*s[9])/216 + 
       (1088*s[10])/27 - (135479*s[11])/396 - (735583*s[12])/1584 - 
       (499109*s[13])/1584 + (545989*s[14])/1584 - (45695*s[15])/144 - 
       (280927*s[16])/792 - (25219*s[17])/792 + (9847*s[18])/648 - 
       (16181*s[19])/324 - (1315729*s[20])/7128 + (196807*s[21])/14256 + 
       (2210707*s[22])/14256 + (1568815*s[23])/1584 + (3239791*s[24])/14256 - 
       (76511393*s[25])/128304 + (23075009*s[26])/128304 + (16*s[31])/3 + 
       (13*s[33])/4 - (23*s[34])/3 - (32*s[35])/3 - (32*s[36])/9 + 
       (149*s[37])/9 + (107*s[38])/3 - (1245*s[39])/8 + (10093*s[40])/72 - 
       (2287*s[41])/24 + (18149*s[42])/72 + (63911*s[43])/792 - 
       (118669*s[44])/1584 - (5441*s[45])/792 - (50363*s[46])/132 + 
       (584795*s[47])/4752 - (838495*s[48])/4752 - (1656485*s[49])/4752 + 
       (103555*s[50])/396 + (654013*s[51])/4752 + (601747*s[52])/4752 - 
       (89113*s[53])/396 + (1207*s[54])/33 - (1498787*s[55])/1584 - 
       (612835*s[56])/4752 + (6253177*s[57])/3564 - (39289571*s[58])/42768 + 
       (45133307*s[59])/42768 + (60366065*s[60])/28512 - 
       (9551761*s[61])/192456 + (8*s[68])/3 - (8*s[69])/3 - (4*s[74])/3 + 
       (4*s[75])/3 - (10*s[76])/3 + (8*s[77])/3 + (16*s[78])/3 - 
       (20*s[79])/3 + (103*s[80])/9 - 162*s[82] - 32*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - u]*
      ((-7*s[2])/2 - (187*s[3])/12 - (35669*s[4])/144 - (202627*s[5])/1056 - 
       (1018049*s[6])/2112 - (41056891*s[7])/9504 + (19512539*s[8])/57024 + 
       (18880303*s[9])/5184 + (3086953*s[10])/2592 + (179690387*s[11])/
        38016 + (194355727*s[12])/38016 + (58605263*s[13])/19008 + 
       (11425915*s[14])/19008 + (5042027*s[15])/864 + (17459605*s[16])/2376 + 
       (73437713*s[17])/12672 + (11469995*s[18])/15552 + 
       (11296987*s[19])/15552 + (368816101*s[20])/42768 + 
       (529230271*s[21])/171072 - (24211529*s[22])/10692 - 
       (175986353*s[23])/38016 - (1653920209*s[24])/342144 + 
       (18540068321*s[25])/3079296 - (10131011921*s[26])/3079296 - s[30]/2 - 
       s[31] + s[32]/8 - s[33]/2 + s[34] + (2*s[35])/3 + (77*s[36])/8 - 
       (77*s[37])/12 - (10519*s[38])/72 + (18097*s[39])/32 - 
       (61451*s[40])/96 + (71045*s[41])/144 - (229955*s[42])/288 - 
       (1714499*s[43])/3168 + (1772653*s[44])/3168 - (59375*s[45])/88 + 
       (15660803*s[46])/3168 - (328489*s[47])/2376 - (1626565*s[48])/9504 + 
       (23454163*s[49])/9504 - (1019239*s[50])/264 - (54761*s[51])/99 - 
       (2026771*s[52])/4752 + (25628675*s[53])/9504 + (282*s[54])/11 + 
       (18203981*s[55])/1056 + (13860311*s[56])/3168 - 
       (14500291*s[57])/4752 + (17398955*s[58])/2376 - (661377*s[59])/88 - 
       (2354392813*s[60])/57024 + (560824163*s[61])/256608 + s[68]/2 - 
       s[69]/2 + (5*s[71])/8 - 2*s[72] - s[73] + (7*s[74])/3 - (7*s[75])/3 + 
       (8*s[76])/3 + (7*s[77])/6 - 2*s[78] - (97*s[79])/2 + (25*s[80])/3 - 
       (235*s[82])/2 - 24*s[84] - 32*s[85]) + HPL[{0, 0, 1}, 1 - v]*
      Omega2[u, v, w]*(-14*s[2] + (77*s[3])/4 + (327*s[4])/8 - 
       (11779*s[5])/88 - (3687*s[6])/22 - (1974331*s[7])/1584 + 
       (4343*s[8])/297 + (251561*s[9])/216 + (86191*s[10])/216 + 
       (2025619*s[11])/1584 + (475883*s[12])/396 + (127737*s[13])/176 + 
       (958015*s[14])/1584 + (86885*s[15])/48 + (549335*s[16])/264 + 
       (3098915*s[17])/1584 + (182665*s[18])/648 + (56873*s[19])/648 + 
       (20343383*s[20])/7128 + (17346427*s[21])/14256 - 
       (9615845*s[22])/14256 - (25667*s[23])/44 - (4874669*s[24])/3564 + 
       (180448591*s[25])/128304 - (127339951*s[26])/128304 - 3*s[29] + 
       2*s[30] - 10*s[31] - (23*s[33])/4 + 11*s[34] + 2*s[35] - 
       (67*s[36])/6 - (85*s[37])/12 - 24*s[38] + (429*s[39])/8 - 
       (1547*s[40])/24 + (281*s[41])/8 - (1189*s[42])/24 - 
       (35305*s[43])/264 + (36779*s[44])/528 - (80951*s[45])/264 + 
       (17085*s[46])/11 + (51347*s[47])/1584 - (229087*s[48])/1584 + 
       (761203*s[49])/1584 - (39497*s[50])/33 - (35435*s[51])/1584 - 
       (28145*s[52])/1584 + (61771*s[53])/66 - (613*s[54])/22 + 
       (3329053*s[55])/528 + (2594621*s[56])/1584 + (1386805*s[57])/1188 + 
       (25606549*s[58])/14256 - (26993521*s[59])/14256 - 
       (129571591*s[60])/9504 + (52480037*s[61])/64152 - s[65] - 4*s[66] + 
       6*s[67] - s[68] + 11*s[69] - 2*s[70] + s[71] + 2*s[72] - 6*s[73] - 
       (5*s[74])/2 + (5*s[75])/2 + 7*s[76] - 5*s[77] + 8*s[78] - 6*s[79] - 
       (19*s[80])/6 - 142*s[82] + 3*s[83] - 18*s[84] - 32*s[85]) + 
     HPL[{0, 0, 1}, 1 - u]*Omega2[u, v, w]*((-17*s[2])/2 + (191*s[3])/4 + 
       (465*s[4])/8 - (533*s[5])/4 - (883*s[6])/8 - (140471*s[7])/144 - 
       (1079*s[8])/216 + (104729*s[9])/108 + (37471*s[10])/108 + 
       (133639*s[11])/144 + (56785*s[12])/72 + (62411*s[13])/144 + 
       (92989*s[14])/144 + (222623*s[15])/144 + (30001*s[16])/18 + 
       (82723*s[17])/48 + (80371*s[18])/324 + (11191*s[19])/648 + 
       (1571129*s[20])/648 + (1421875*s[21])/1296 - (711275*s[22])/1296 - 
       (18797*s[23])/72 - (678217*s[24])/648 + (5308001*s[25])/5832 - 
       (4512383*s[26])/5832 - 4*s[29] + 2*s[30] - 4*s[31] - 2*s[32] - 
       (7*s[33])/4 + 2*s[34] - s[35] - (25*s[36])/3 + (13*s[37])/3 - 
       17*s[38] + 88*s[39] - (371*s[40])/3 + (195*s[41])/2 - 
       (1621*s[42])/12 - (4198*s[43])/33 + (28661*s[44])/264 - 
       (36401*s[45])/132 + (70009*s[46])/44 + (4817*s[47])/792 - 
       (77023*s[48])/792 + (395299*s[49])/792 - (86543*s[50])/66 - 
       (95165*s[51])/792 - (52697*s[52])/792 + (21531*s[53])/22 - 
       (932*s[54])/11 + (1708775*s[55])/264 + (1309337*s[56])/792 + 
       (753251*s[57])/1188 + (13941643*s[58])/7128 - (14517805*s[59])/7128 - 
       (65589079*s[60])/4752 + (53492515*s[61])/64152 - s[65] - 4*s[66] + 
       6*s[67] + 9*s[69] + s[71] + 2*s[72] - 8*s[73] - (3*s[74])/2 + 
       (3*s[75])/2 + s[76] - 5*s[77] + 10*s[78] - 36*s[79] + (29*s[80])/3 - 
       142*s[82] + 3*s[83] - 18*s[84] - 32*s[85]) + 
     HPL[{0, 0, 1}, 1 - v]*Omega2[v, w, u]*(-3*s[2] - (31*s[3])/4 - 
       (697*s[4])/8 - (22213*s[5])/88 - (18439*s[6])/44 - 
       (5724463*s[7])/1584 + (206299*s[8])/1188 + (676963*s[9])/216 + 
       (259973*s[10])/216 + (6018107*s[11])/1584 + (756425*s[12])/198 + 
       (3461269*s[13])/1584 + (1943507*s[14])/1584 + (761207*s[15])/144 + 
       (5020661*s[16])/792 + (2958589*s[17])/528 + (459731*s[18])/648 + 
       (372757*s[19])/648 + (56939191*s[20])/7128 + (44490107*s[21])/14256 - 
       (26999209*s[22])/14256 - (944003*s[23])/396 - (15237877*s[24])/3564 + 
       (573970433*s[25])/128304 - (361153481*s[26])/128304 - 3*s[29] + 
       2*s[30] + (9*s[33])/4 - 7*s[34] + 2*s[35] - (37*s[36])/6 + 
       (13*s[37])/12 - 76*s[38] + (2139*s[39])/8 - (7661*s[40])/24 + 
       (2127*s[41])/8 - (8671*s[42])/24 - (98671*s[43])/264 + 
       (170501*s[44])/528 - (148801*s[45])/264 + (118405*s[46])/33 + 
       (39653*s[47])/1584 - (462937*s[48])/1584 + (2522317*s[49])/1584 - 
       (93437*s[50])/33 - (400661*s[51])/1584 - (284111*s[52])/1584 + 
       (407443*s[53])/198 - (1225*s[54])/66 + (2379305*s[55])/176 + 
       (1791505*s[56])/528 + (203065*s[57])/396 + (812763*s[58])/176 - 
       (7697047*s[59])/1584 - (297945913*s[60])/9504 + 
       (37005745*s[61])/21384 - s[65] - 4*s[66] + 6*s[67] + 3*s[68] + 
       9*s[69] - 2*s[70] + s[71] + 2*s[72] - 6*s[73] - (5*s[74])/2 + 
       (5*s[75])/2 - 3*s[76] - s[77] + 8*s[78] - 18*s[79] + (43*s[80])/6 - 
       130*s[82] + 3*s[83] - 18*s[84] - 32*s[85]) + 
     HPL[{0, 0, 1}, 1 - u]*Omega2[w, u, v]*((-23*s[2])/2 + (15*s[3])/4 - 
       (859*s[4])/8 - (11983*s[5])/44 - (42637*s[6])/88 - 
       (6678061*s[7])/1584 + (480995*s[8])/2376 + (396425*s[9])/108 + 
       (147751*s[10])/108 + (7081517*s[11])/1584 + (3607871*s[12])/792 + 
       (4202161*s[13])/1584 + (2090087*s[14])/1584 + (866063*s[15])/144 + 
       (1446581*s[16])/198 + (3339889*s[17])/528 + (267925*s[18])/324 + 
       (415051*s[19])/648 + (65371231*s[20])/7128 + (50656049*s[21])/14256 - 
       (31696105*s[22])/14256 - (2325211*s[23])/792 - (34907963*s[24])/7128 + 
       (340578307*s[25])/64152 - (210015901*s[26])/64152 - 4*s[29] + 
       2*s[30] - 4*s[31] - (7*s[33])/4 + 2*s[34] - s[35] - (25*s[36])/3 - 
       (8*s[37])/3 - 85*s[38] + 304*s[39] - (1049*s[40])/3 + (573*s[41])/2 - 
       (5161*s[42])/12 - (11182*s[43])/33 + (80885*s[44])/264 - 
       (60629*s[45])/132 + (140501*s[46])/44 - (45775*s[47])/792 - 
       (129199*s[48])/792 + (1123123*s[49])/792 - (162725*s[50])/66 - 
       (253445*s[51])/792 - (194849*s[52])/792 + (115537*s[53])/66 - 
       (1473*s[54])/11 + (3017671*s[55])/264 + (2384201*s[56])/792 - 
       (1295443*s[57])/1188 + (32340763*s[58])/7128 - (32904397*s[59])/7128 - 
       (127969855*s[60])/4752 + (95177947*s[61])/64152 - s[65] - 4*s[66] + 
       6*s[67] + 2*s[68] + 11*s[69] + s[71] + 2*s[72] - 8*s[73] - 
       (3*s[74])/2 + (3*s[75])/2 + s[76] - 3*s[77] + 10*s[78] - 36*s[79] + 
       (29*s[80])/3 - 130*s[82] + 3*s[83] - 18*s[84] - 32*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-153*s[2])/16 - (2203*s[3])/96 - (189971*s[4])/576 - 
       (842405*s[5])/3168 - (1323215*s[6])/2112 - (219137725*s[7])/38016 + 
       (8516429*s[8])/19008 + (2113069*s[9])/432 + (1358413*s[10])/864 + 
       (79573057*s[11])/12672 + (14357663*s[12])/2112 + 
       (153269027*s[13])/38016 + (3769289*s[14])/4224 + 
       (8952761*s[15])/1152 + (185939263*s[16])/19008 + 
       (291856801*s[17])/38016 + (930425*s[18])/864 + (1454383*s[19])/1728 + 
       (222116969*s[20])/19008 + (483738061*s[21])/114048 - 
       (345962761*s[22])/114048 - (3741139*s[23])/594 - 
       (179764597*s[24])/28512 + (2035944313*s[25])/256608 - 
       (1132846405*s[26])/256608 - s[27]/4 - s[29]/2 - (41*s[30])/24 - 
       (10*s[31])/3 + (43*s[32])/24 - (65*s[33])/8 + (41*s[34])/8 - 
       (29*s[35])/24 + (43*s[36])/4 - (871*s[37])/72 - (12841*s[38])/72 + 
       (209773*s[39])/288 - (237709*s[40])/288 + (186907*s[41])/288 - 
       (50285*s[42])/48 - (715129*s[43])/1056 + (495285*s[44])/704 - 
       (85990*s[45])/99 + (20258617*s[46])/3168 - (4138567*s[47])/19008 - 
       (2931493*s[48])/19008 + (58498111*s[49])/19008 - (2626247*s[50])/528 - 
       (4700089*s[51])/6336 - (10902623*s[52])/19008 + 
       (32984195*s[53])/9504 - (91855*s[54])/1584 + (422101781*s[55])/19008 + 
       (110269957*s[56])/19008 - (31344551*s[57])/7128 + 
       (1649566043*s[58])/171072 - (1672629209*s[59])/171072 - 
       (6048471409*s[60])/114048 + (4409866457*s[61])/1539648 - s[62]/12 - 
       s[65]/6 - (2*s[66])/3 + (5*s[67])/6 + (2*s[68])/3 + s[69] + s[70] + 
       (2*s[71])/3 - (13*s[72])/4 + (7*s[73])/4 + (125*s[74])/48 - 
       (125*s[75])/48 + (79*s[76])/12 - (13*s[77])/24 - (47*s[78])/12 - 
       (200*s[79])/3 + (235*s[80])/36 - (847*s[82])/6 + s[83]/2 - 
       (63*s[84])/2 - 31*s[85]) + HPL[{1}, 1 - u]^2*HPL[{0, 1, 0, 1, 1}, 
       1 - v]*(-4*s[2] - (215*s[3])/8 + (991*s[4])/48 + (15053*s[5])/176 + 
       (34289*s[6])/176 + (836975*s[7])/1056 + (5597*s[8])/528 - 
       (4847*s[9])/6 - (1025*s[10])/48 - (238277*s[11])/264 - 
       (1075045*s[12])/1056 - (748375*s[13])/1056 - (315637*s[14])/1056 - 
       (20697*s[15])/32 - (480311*s[16])/528 - (19759*s[17])/44 - 
       (3293*s[18])/9 + (2501*s[19])/9 - (2543539*s[20])/1584 - 
       (294703*s[21])/352 + (1433651*s[22])/3168 + (1532675*s[23])/1056 + 
       (1122821*s[24])/3168 - (4716007*s[25])/4752 + (3683113*s[26])/4752 + 
       4*s[29] + (3*s[30])/2 + 4*s[31] + s[32] + (47*s[33])/8 - (7*s[34])/2 + 
       (9*s[35])/2 + (7*s[36])/3 + (5*s[37])/3 + 103*s[38] - 
       (6875*s[39])/24 + (2601*s[40])/8 - (1511*s[41])/6 + (9511*s[42])/24 + 
       (16459*s[43])/88 - (75337*s[44])/528 + (1477*s[45])/22 - 
       (248287*s[46])/264 + (108521*s[47])/528 - (113305*s[48])/528 - 
       (84299*s[49])/176 + (22465*s[50])/44 + (552415*s[51])/1584 + 
       (66223*s[52])/176 - (61163*s[53])/264 + (71341*s[54])/132 - 
       (2162213*s[55])/1584 - (125733*s[56])/176 + (1248239*s[57])/264 - 
       (4156847*s[58])/1584 + (3532781*s[59])/1584 + (18163379*s[60])/3168 - 
       (3257021*s[61])/14256 + s[65] + 4*s[66] - 6*s[67] - 12*s[69] - 
       6*s[70] - (7*s[71])/2 - 6*s[72] + 6*s[73] + 3*s[74] - (5*s[75])/2 - 
       9*s[76] + (17*s[77])/2 - 6*s[78] + 64*s[79] + (13*s[80])/6 - 
       390*s[82] - 9*s[83] + 18*s[84] - 30*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 0, 1, 1}, 1 - u]*(-9*s[2] - (175*s[3])/8 - 
       (6179*s[4])/48 + (4657*s[5])/176 - (9641*s[6])/176 - 
       (1094611*s[7])/1056 + (818819*s[8])/4752 + (151499*s[9])/216 + 
       (171671*s[10])/432 + (1872829*s[11])/1584 + (4220521*s[12])/3168 + 
       (2476421*s[13])/3168 - (611209*s[14])/3168 + (433873*s[15])/288 + 
       (3309067*s[16])/1584 + (2678935*s[17])/1584 - (13433*s[18])/162 + 
       (92123*s[19])/162 + (25258639*s[20])/14256 + (7773599*s[21])/28512 - 
       (14631259*s[22])/28512 - (2430463*s[23])/3168 - 
       (45163567*s[24])/28512 + (227005981*s[25])/128304 - 
       (73726369*s[26])/128304 + 4*s[29] + 2*s[30] - s[31] + s[32]/4 - 
       s[33]/2 + (3*s[34])/2 - 3*s[35] + (39*s[36])/2 + (7*s[37])/2 + 
       (163*s[38])/3 - (317*s[39])/8 + (353*s[40])/8 - (721*s[41])/12 + 
       (373*s[42])/24 + (12709*s[43])/264 + (43787*s[44])/528 - 
       (639*s[45])/44 + (81335*s[46])/264 + (87007*s[47])/1584 - 
       (216659*s[48])/1584 + (361535*s[49])/1584 - (7461*s[50])/22 + 
       (28871*s[51])/528 + (249635*s[52])/1584 + (236969*s[53])/792 + 
       (13141*s[54])/44 + (269491*s[55])/176 + (187975*s[56])/528 + 
       (1247965*s[57])/792 - (294125*s[58])/1584 + (5587*s[59])/176 - 
       (27612713*s[60])/9504 + (12149455*s[61])/42768 + s[64] + (9*s[65])/2 + 
       8*s[66] - 12*s[67] - 6*s[68] - 22*s[69] - (11*s[70])/2 - 7*s[71] - 
       12*s[72] + 12*s[73] + 7*s[74] - (9*s[75])/2 - 5*s[76] + 11*s[77] - 
       14*s[78] + 44*s[79] + 24*s[80] - 390*s[82] - 9*s[83] + 18*s[84] - 
       30*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*((203*s[2])/144 - (1085*s[3])/96 - 
       (65939*s[4])/192 - (182309*s[5])/792 - (3817985*s[6])/6336 - 
       (620107265*s[7])/114048 + (78929663*s[8])/171072 + 
       (8872967*s[9])/1944 + (10970119*s[10])/7776 + (680759669*s[11])/
        114048 + (373325267*s[12])/57024 + (149477771*s[13])/38016 + 
       (76670027*s[14])/114048 + (24896449*s[15])/3456 + 
       (10846013*s[16])/1188 + (800410819*s[17])/114048 + 
       (23027701*s[18])/23328 + (38219947*s[19])/46656 + 
       (5502538801*s[20])/513216 + (3925070921*s[21])/1026432 - 
       (2921774785*s[22])/1026432 - (119575001*s[23])/19008 - 
       (3051564869*s[24])/513216 + (35311195069*s[25])/4618944 - 
       (19148496145*s[26])/4618944 - s[29]/3 - (31*s[30])/24 - 
       (23*s[31])/18 - (19*s[32])/36 + (343*s[33])/72 - (65*s[34])/72 + 
       (79*s[35])/72 + (1067*s[36])/108 - (4117*s[37])/144 - (1667*s[38])/9 + 
       (214507*s[39])/288 - (721009*s[40])/864 + (188795*s[41])/288 - 
       (232553*s[42])/216 - (6225983*s[43])/9504 + (13212193*s[44])/19008 - 
       (827597*s[45])/1056 + (14431493*s[46])/2376 - (15146999*s[47])/57024 - 
       (5373653*s[48])/57024 + (169181735*s[49])/57024 - 
       (22218223*s[50])/4752 - (43940695*s[51])/57024 - 
       (34465699*s[52])/57024 + (92639893*s[53])/28512 - 
       (523213*s[54])/2376 + (43748453*s[55])/2112 + (316334825*s[56])/
        57024 - (426612223*s[57])/85536 + (4797551725*s[58])/513216 - 
       (4833618235*s[59])/513216 - (17064906083*s[60])/342144 + 
       (12370147351*s[61])/4618944 - (5*s[65])/36 - (5*s[66])/9 + 
       (11*s[67])/18 - s[68]/18 + (16*s[69])/9 + (23*s[70])/18 - 
       (11*s[71])/72 - (79*s[72])/36 - (79*s[73])/36 + (473*s[74])/144 - 
       (473*s[75])/144 + (13*s[76])/4 - (125*s[77])/72 + (7*s[78])/36 - 
       (505*s[79])/6 + (697*s[80])/24 - (713*s[82])/6 + (5*s[83])/12 - 
       35*s[84] - (89*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1}, 1 - v]*((14*s[2])/9 - (75*s[3])/4 + (115*s[4])/144 - 
       (39797*s[5])/792 - (310381*s[6])/3168 - (4407017*s[7])/7128 - 
       (344849*s[8])/85536 + (4016603*s[9])/7776 + (1195145*s[10])/3888 + 
       (34937665*s[11])/57024 + (29096933*s[12])/57024 + 
       (2890441*s[13])/9504 + (13568855*s[14])/28512 + (472207*s[15])/432 + 
       (54381*s[16])/44 + (78042449*s[17])/57024 + (1416007*s[18])/23328 + 
       (5048381*s[19])/23328 + (12648670*s[20])/8019 + 
       (154735217*s[21])/256608 - (9856133*s[22])/32076 + 
       (7565759*s[23])/19008 - (490982963*s[24])/513216 + 
       (3022800547*s[25])/4618944 - (2148886183*s[26])/4618944 + s[30]/18 + 
       3*s[31] + (5*s[32])/12 + (19*s[33])/9 - (58*s[34])/9 - 
       (265*s[35])/36 - (107*s[36])/27 + (659*s[37])/108 + (61*s[38])/18 - 
       (8789*s[39])/144 + (19991*s[40])/432 - (1385*s[41])/48 + 
       (12649*s[42])/108 - (221999*s[43])/4752 + (211417*s[44])/9504 - 
       (726967*s[45])/4752 + (163499*s[46])/264 + (3349891*s[47])/28512 - 
       (6718541*s[48])/28512 + (5994905*s[49])/28512 - (334303*s[50])/594 + 
       (1783091*s[51])/28512 + (2613653*s[52])/28512 + (1003535*s[53])/2376 + 
       (1149*s[54])/11 + (10052357*s[55])/3168 + (18941551*s[56])/28512 + 
       (103671973*s[57])/42768 + (46477007*s[58])/256608 - 
       (82795265*s[59])/256608 - (1183233719*s[60])/171072 + 
       (410466103*s[61])/1154736 + (22*s[68])/9 - (22*s[69])/9 - s[70]/9 + 
       s[72]/9 - s[73]/9 - (17*s[74])/18 + (17*s[75])/18 - (55*s[76])/18 + 
       (47*s[77])/18 + (32*s[78])/9 - (50*s[79])/9 + (401*s[80])/54 - 
       (637*s[82])/4 + (2*s[84])/3 - (88*s[85])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((-5*s[2])/3 - 26*s[3] + (355*s[4])/24 - (985*s[5])/44 - 
       (18731*s[6])/528 - (298223*s[7])/1584 - (92131*s[8])/4752 + 
       (55927*s[9])/432 + (45337*s[10])/216 + (276923*s[11])/3168 - 
       (313757*s[12])/3168 - (213835*s[13])/1584 + (606841*s[14])/1584 + 
       (10147*s[15])/16 + (867233*s[16])/1584 + (1002065*s[17])/1056 + 
       (29819*s[18])/1296 + (176161*s[19])/1296 + (5309747*s[20])/7128 + 
       (4419685*s[21])/14256 - (444409*s[22])/7128 + (2137213*s[23])/3168 - 
       (11037643*s[24])/28512 - (4428175*s[25])/256608 - 
       (31505549*s[26])/256608 + (4*s[31])/3 + s[32] + (5*s[33])/2 - 
       (14*s[34])/3 - (10*s[35])/3 - (11*s[36])/9 + (41*s[37])/2 + 33*s[38] - 
       (673*s[39])/6 + (1897*s[40])/18 - (1199*s[41])/24 + (13259*s[42])/72 - 
       (5923*s[43])/198 - (6415*s[44])/1584 - (89305*s[45])/396 + 
       (39791*s[46])/44 + (768695*s[47])/4752 - (1084453*s[48])/4752 + 
       (931237*s[49])/4752 - (88016*s[50])/99 + (554449*s[51])/4752 + 
       (727051*s[52])/4752 + (570551*s[53])/792 + (14959*s[54])/66 + 
       (2740079*s[55])/528 + (4197473*s[56])/4752 + (15103069*s[57])/3564 + 
       (1692247*s[58])/42768 - (16599145*s[59])/42768 - 
       (278709121*s[60])/28512 + (201028183*s[61])/384912 + (14*s[68])/3 - 
       (14*s[69])/3 - (2*s[74])/3 + (2*s[75])/3 - 2*s[76] + 4*s[77] + 
       (4*s[78])/3 + (40*s[79])/3 - (62*s[80])/9 - 170*s[82] - 28*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Omega2[u, v, w]*
      (-3*s[2] - (58*s[3])/3 - (97*s[4])/4 - (7477*s[5])/132 - 
       (5097*s[6])/44 - (11117*s[7])/11 + (46027*s[8])/1188 + 
       (92201*s[9])/108 + (10369*s[10])/27 + (106355*s[11])/99 + 
       (854603*s[12])/792 + (496447*s[13])/792 + (312187*s[14])/792 + 
       (53473*s[15])/36 + (1441183*s[16])/792 + (162788*s[17])/99 + 
       (13015*s[18])/81 + (38425*s[19])/162 + (4091443*s[20])/1782 + 
       (6020899*s[21])/7128 - (3717509*s[22])/7128 - (128197*s[23])/396 - 
       (4617643*s[24])/3564 + (40867553*s[25])/32076 - (6214919*s[26])/8019 + 
       s[32]/6 + 6*s[37] - (44*s[38])/3 + (323*s[39])/12 - (515*s[40])/12 + 
       (427*s[41])/12 - (11*s[42])/2 - (12169*s[43])/132 + (4043*s[44])/44 - 
       (28073*s[45])/132 + (73855*s[46])/66 + (4471*s[47])/66 - 
       (8331*s[48])/44 + (15211*s[49])/33 - (9939*s[50])/11 - 
       (3235*s[51])/396 + (107*s[52])/22 + (84569*s[53])/132 + 
       (2518*s[54])/33 + (1809419*s[55])/396 + (24313*s[56])/22 + 
       (519395*s[57])/396 + (1380347*s[58])/1188 - (1481309*s[59])/1188 - 
       (8328931*s[60])/792 + (3100729*s[61])/5346 + (4*s[68])/3 - 
       (4*s[69])/3 - 2*s[73] + (4*s[77])/3 - 154*s[82] - 28*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*
      ((7*s[2])/6 - 19*s[3] - (481*s[4])/48 - (2281*s[5])/88 - 
       (33575*s[6])/528 - (162869*s[7])/352 + (25661*s[8])/4752 + 
       (41911*s[9])/108 + (49909*s[10])/216 + (1501283*s[11])/3168 + 
       (43268*s[12])/99 + (707549*s[13])/3168 + (931787*s[14])/3168 + 
       (208403*s[15])/288 + (356239*s[16])/396 + (2874089*s[17])/3168 + 
       (7952*s[18])/81 + (152701*s[19])/1296 + (16880635*s[20])/14256 + 
       (12959357*s[21])/28512 - (6665473*s[22])/28512 + (52757*s[23])/792 - 
       (2244611*s[24])/3564 + (16241113*s[25])/32076 - 
       (11491633*s[26])/32076 + (8*s[31])/3 + s[32]/2 + 2*s[33] - 
       (16*s[34])/3 - (16*s[35])/3 - (28*s[36])/9 + (185*s[37])/12 + 
       (143*s[38])/12 - (639*s[39])/16 + (3607*s[40])/144 - (123*s[41])/16 + 
       (10781*s[42])/144 - (32695*s[43])/1584 + (87563*s[44])/3168 - 
       (169115*s[45])/1584 + (123721*s[46])/264 + (732935*s[47])/9504 - 
       (1524727*s[48])/9504 + (1206883*s[49])/9504 - (161509*s[50])/396 + 
       (384481*s[51])/9504 + (522799*s[52])/9504 + (55579*s[53])/198 + 
       (1587*s[54])/22 + (6677969*s[55])/3168 + (5030969*s[56])/9504 + 
       (4377137*s[57])/3564 + (25479493*s[58])/85536 - 
       (26269009*s[59])/85536 - (276776239*s[60])/57024 + 
       (7114718*s[61])/24057 + (7*s[68])/3 - (7*s[69])/3 - (2*s[74])/3 + 
       (2*s[75])/3 - (8*s[76])/3 + (7*s[77])/3 + (8*s[78])/3 - (16*s[79])/3 + 
       (56*s[80])/9 - (297*s[82])/2 - 28*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((-45*s[2])/2 + (671*s[3])/4 - (14457*s[4])/8 - (17388*s[5])/11 - 
       (317501*s[6])/88 - (52214477*s[7])/1584 + (6022979*s[8])/2376 + 
       (3044081*s[9])/108 + (920365*s[10])/108 + (57538571*s[11])/1584 + 
       (31514243*s[12])/792 + (12746441*s[13])/528 + (6790853*s[14])/1584 + 
       (2068465*s[15])/48 + (14473025*s[16])/264 + (65804041*s[17])/1584 + 
       (991553*s[18])/162 + (2921233*s[19])/648 + (465936091*s[20])/7128 + 
       (342856931*s[21])/14256 - (249468799*s[22])/14256 - 
       (4912777*s[23])/132 - (127481659*s[24])/3564 + 
       (369016178*s[25])/8019 - (818474465*s[26])/32076 + (7*s[28])/2 - 
       s[29] + 2*s[30] - 16*s[31] - 2*s[32] - (37*s[33])/4 + 35*s[34] + 
       28*s[35] + (173*s[36])/2 - (511*s[37])/6 - (2541*s[38])/2 + 
       (37891*s[39])/8 - (41671*s[40])/8 + (32889*s[41])/8 - 
       (54063*s[42])/8 - (378685*s[43])/88 + (761595*s[44])/176 - 
       (145721*s[45])/33 + (9476377*s[46])/264 - (751001*s[47])/528 - 
       (373019*s[48])/528 + (10102031*s[49])/528 - (604543*s[50])/22 - 
       (2410939*s[51])/528 - (2011105*s[52])/528 + (1873642*s[53])/99 - 
       (23380*s[54])/33 + (63157951*s[55])/528 + (49562999*s[56])/1584 - 
       (39491387*s[57])/1188 + (799109965*s[58])/14256 - 
       (813641095*s[59])/14256 - (103714749*s[60])/352 + 
       (1934931697*s[61])/128304 - 4*s[63] + 2*s[64] + s[65] - 4*s[66] + 
       8*s[68] + 14*s[69] + 30*s[70] + 4*s[71] - 12*s[72] + s[73] + 
       (35*s[74])/2 - 15*s[75] + 26*s[76] - 52*s[77] - 13*s[78] - 386*s[79] + 
       (188*s[80])/3 + 244*s[82] + (15*s[83])/2 - 225*s[84] - 28*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^3*((-31*s[2])/4 - (217*s[3])/8 - 
       (9707*s[4])/16 - (181043*s[5])/528 - (65629*s[6])/66 - 
       (84584521*s[7])/9504 + (1403165*s[8])/1782 + (9641915*s[9])/1296 + 
       (2907505*s[10])/1296 + (93374353*s[11])/9504 + (3225991*s[12])/297 + 
       (20817061*s[13])/3168 + (7655701*s[14])/9504 + (3370783*s[15])/288 + 
       (23675791*s[16])/1584 + (106980221*s[17])/9504 + 
       (6141163*s[18])/3888 + (5202917*s[19])/3888 + (741118019*s[20])/
        42768 + (524439649*s[21])/85536 - (398958947*s[22])/85536 - 
       (8674955*s[23])/792 - (206293793*s[24])/21384 + 
       (9781189837*s[25])/769824 - (5228144125*s[26])/769824 + (2*s[29])/3 - 
       (5*s[30])/2 - (25*s[31])/6 - s[32]/3 - (119*s[33])/24 + (37*s[34])/6 + 
       (43*s[35])/6 + (505*s[36])/18 - (225*s[37])/8 - (3853*s[38])/12 + 
       (31225*s[39])/24 - (103939*s[40])/72 + 1133*s[41] - (67969*s[42])/36 - 
       (80431*s[43])/72 + (171353*s[44])/144 - (19727*s[45])/16 + 
       (1429511*s[46])/144 - (195439*s[47])/432 - (42937*s[48])/432 + 
       (2187709*s[49])/432 - (273287*s[50])/36 - (560519*s[51])/432 - 
       (452831*s[52])/432 + (2276017*s[53])/432 - (18905*s[54])/72 + 
       (532241*s[55])/16 + (3839581*s[56])/432 - (3165709*s[57])/324 + 
       (15265823*s[58])/972 - (61786847*s[59])/3888 - (6525638*s[60])/81 + 
       (300581491*s[61])/69984 + s[65]/3 + (4*s[66])/3 - (4*s[67])/3 - 
       (4*s[68])/3 - (4*s[69])/3 + (2*s[70])/3 + (2*s[71])/3 - (19*s[72])/3 + 
       (5*s[73])/3 + 7*s[74] - 7*s[75] + (59*s[76])/6 + (7*s[77])/6 - 
       (65*s[78])/6 - 111*s[79] + (215*s[80])/12 - 48*s[82] - s[83] - 
       52*s[84] - 28*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*((65*s[2])/6 - 34*s[3] - 
       (3359*s[4])/8 - (1583*s[5])/132 - (7565*s[6])/22 - 
       (16678537*s[7])/4752 + (1635263*s[8])/3564 + (1796957*s[9])/648 + 
       (117709*s[10])/162 + (4733845*s[11])/1188 + (22222325*s[12])/4752 + 
       (4517231*s[13])/1584 - (2112899*s[14])/4752 + (623149*s[15])/144 + 
       (381233*s[16])/66 + (4591253*s[17])/1188 + (114899*s[18])/243 + 
       (1352645*s[19])/1944 + (64775455*s[20])/10692 + 
       (74485927*s[21])/42768 - (77459093*s[22])/42768 - 
       (8942773*s[23])/1584 - (159331655*s[24])/42768 + 
       (2148050491*s[25])/384912 - (972850903*s[26])/384912 + 6*s[29] - 
       4*s[30] + (22*s[31])/3 + (8*s[32])/3 - (4*s[33])/3 - (14*s[34])/3 + 
       (10*s[35])/3 + (185*s[36])/18 - (133*s[37])/18 - (451*s[38])/3 + 
       (7231*s[39])/12 - (24679*s[40])/36 + (2245*s[41])/4 - 
       (31475*s[42])/36 - (229157*s[43])/396 + (240809*s[44])/396 - 
       (561469*s[45])/792 + (4209197*s[46])/792 - (45742*s[47])/297 - 
       (257185*s[48])/1188 + (6204503*s[49])/2376 - (413960*s[50])/99 - 
       (1497943*s[51])/2376 - (551333*s[52])/1188 + (6886285*s[53])/2376 - 
       (10765*s[54])/198 + (806449*s[55])/44 + (3865823*s[56])/792 - 
       (4196615*s[57])/1188 + (9384653*s[58])/1188 - (6344051*s[59])/792 - 
       (39447332*s[60])/891 + (307388507*s[61])/128304 + s[62]/2 + 
       (4*s[65])/3 + (16*s[66])/3 - (26*s[67])/3 - s[68]/3 - 17*s[69] - 
       (14*s[70])/3 + (13*s[71])/6 - (22*s[72])/3 + (50*s[73])/3 + 4*s[74] - 
       4*s[75] - (2*s[76])/3 + 8*s[77] - 8*s[78] - (196*s[79])/3 + 
       (131*s[80])/9 - 6*s[82] - 4*s[83] - 24*s[84] - 28*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((-5*s[2])/2 - (149*s[3])/12 - (10213*s[4])/48 - (19937*s[5])/132 - 
       (191155*s[6])/528 - (8300797*s[7])/2376 + (1995227*s[8])/7128 + 
       (3819041*s[9])/1296 + (310543*s[10])/324 + (36539263*s[11])/9504 + 
       (9972293*s[12])/2376 + (7929937*s[13])/3168 + (494537*s[14])/1188 + 
       (74717*s[15])/16 + (589060*s[16])/99 + (43607801*s[17])/9504 + 
       (4796711*s[18])/7776 + (4467859*s[19])/7776 + (597883681*s[20])/
        85536 + (214785559*s[21])/85536 - (157559399*s[22])/85536 - 
       (4143221*s[23])/1056 - (166764691*s[24])/42768 + 
       (941081593*s[25])/192456 - (1025803043*s[26])/384912 - (7*s[30])/12 - 
       (5*s[31])/6 + (5*s[32])/24 - (13*s[33])/24 + s[34] + (4*s[35])/3 + 
       (623*s[36])/72 - (313*s[37])/72 - (2647*s[38])/24 + (42373*s[39])/96 - 
       (141755*s[40])/288 + (37271*s[41])/96 - (181597*s[42])/288 - 
       (1197937*s[43])/3168 + (145793*s[44])/352 - (690071*s[45])/1584 + 
       (10931381*s[46])/3168 - (1332269*s[47])/9504 - (77215*s[48])/1188 + 
       (16944467*s[49])/9504 - (263981*s[50])/99 - (1994627*s[51])/4752 - 
       (818341*s[52])/2376 + (17204917*s[53])/9504 + (10915*s[54])/396 + 
       (9106979*s[55])/792 + (1075447*s[56])/352 - (32855167*s[57])/9504 + 
       (3264001*s[58])/594 - (969495*s[59])/176 - (1616480219*s[60])/57024 + 
       (385643341*s[61])/256608 - (5*s[68])/6 + (5*s[69])/6 - (5*s[71])/24 - 
       (5*s[72])/3 + (25*s[74])/12 - (25*s[75])/12 + (5*s[76])/3 - 
       (5*s[78])/3 - (209*s[79])/6 + (299*s[80])/36 - (279*s[82])/2 - 
       20*s[84] - 28*s[85]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]*((-91*s[2])/96 - (875*s[3])/64 - 
       (133561*s[4])/1152 - (28767*s[5])/352 - (1004281*s[6])/4224 - 
       (145729885*s[7])/76032 + (2117701*s[8])/12672 + (457919*s[9])/288 + 
       (150875*s[10])/288 + (17700167*s[11])/8448 + (7228373*s[12])/3168 + 
       (103064213*s[13])/76032 + (7555613*s[14])/25344 + 
       (17763703*s[15])/6912 + (62323769*s[16])/19008 + 
       (196651141*s[17])/76032 + (1928873*s[18])/5184 + 
       (2855777*s[19])/10368 + (439474235*s[20])/114048 + 
       (322331123*s[21])/228096 - (75481553*s[22])/76032 - 
       (21112799*s[23])/9504 - (6660299*s[24])/3168 + 
       (1360284647*s[25])/513216 - (381513571*s[26])/256608 + s[29]/4 - 
       (5*s[30])/16 + (7*s[31])/12 + (7*s[32])/48 + (197*s[33])/96 - 
       (203*s[34])/48 - (47*s[35])/16 + (83*s[36])/72 - (605*s[37])/144 - 
       (2287*s[38])/48 + (130319*s[39])/576 - (50957*s[40])/192 + 
       (121115*s[41])/576 - (190807*s[42])/576 - (476851*s[43])/2112 + 
       (1509515*s[44])/6336 - (247661*s[45])/792 + (14279531*s[46])/6336 - 
       (324457*s[47])/6336 - (157831*s[48])/1584 + (2182181*s[49])/2112 - 
       (614981*s[50])/352 - (62210*s[51])/297 - (177851*s[52])/1056 + 
       (11742727*s[53])/9504 - (39881*s[54])/792 + (9460591*s[55])/1188 + 
       (40785535*s[56])/19008 - (70223701*s[57])/57024 + 
       (568409273*s[58])/171072 - (144081587*s[59])/42768 - 
       (237886585*s[60])/12672 + (3300978235*s[61])/3079296 + s[65]/24 + 
       s[66]/6 - s[67]/3 + s[68]/24 - (17*s[69])/24 - s[70]/3 - 
       (13*s[71])/24 - (19*s[72])/24 + (17*s[73])/24 + (23*s[74])/96 - 
       (23*s[75])/96 + s[76]/8 + (25*s[77])/48 + (7*s[78])/24 - 29*s[79] + 
       (377*s[80])/24 - (619*s[82])/4 - s[83]/8 - 9*s[84] - 28*s[85]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((43*s[2])/2 - (681*s[3])/4 - (5887*s[4])/8 - (2369*s[5])/11 - 
       (80227*s[6])/88 - (12513455*s[7])/1584 + (2135125*s[8])/2376 + 
       (678103*s[9])/108 + (95221*s[10])/54 + (14173567*s[11])/1584 + 
       (8131927*s[12])/792 + (9972419*s[13])/1584 - (517895*s[14])/1584 + 
       (1454005*s[15])/144 + (5250365*s[16])/396 + (4952179*s[17])/528 + 
       (205657*s[18])/162 + (955469*s[19])/648 + (101579057*s[20])/7128 + 
       (67312855*s[21])/14256 - (57241859*s[22])/14256 - 
       (9300767*s[23])/792 - (60755989*s[24])/7128 + (775721717*s[25])/
        64152 - (382601951*s[26])/64152 + 8*s[28] + 10*s[29] - 5*s[30] + 
       10*s[31] - 8*s[32] + (3*s[33])/2 - 4*s[34] + (11*s[35])/2 + 
       (98*s[36])/3 - (227*s[37])/6 - 385*s[38] + (5829*s[39])/4 - 
       (18851*s[40])/12 + (4675*s[41])/4 - (24673*s[42])/12 - 
       (162925*s[43])/132 + (88463*s[44])/66 - (44917*s[45])/33 + 
       (1422299*s[46])/132 - (100993*s[47])/198 - (62627*s[48])/396 + 
       (579032*s[49])/99 - (273319*s[50])/33 - (533857*s[51])/396 - 
       (429787*s[52])/396 + (1136423*s[53])/198 + (2855*s[54])/33 + 
       (4760951*s[55])/132 + (599875*s[56])/66 - (3924661*s[57])/396 + 
       (3324067*s[58])/198 - (6800311*s[59])/396 - (104849845*s[60])/1188 + 
       (97999331*s[61])/21384 + 3*s[65] + 6*s[66] - 10*s[67] + 18*s[68] - 
       24*s[69] + 6*s[70] - 3*s[71] - 10*s[72] - 18*s[73] + (15*s[74])/2 - 
       (15*s[75])/2 - 3*s[76] - 7*s[77] - 22*s[78] - 24*s[79] + 
       (55*s[80])/3 - 230*s[82] - 6*s[84] - 28*s[85]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-9*s[1])/2 + (111*s[2])/4 - (263*s[3])/8 - (6519*s[4])/16 + 
       (3783*s[5])/44 - (33457*s[6])/176 - (9812569*s[7])/3168 + 
       (2501707*s[8])/4752 + (256163*s[9])/108 + (122003*s[10])/216 + 
       (11388571*s[11])/3168 + (1758811*s[12])/396 + (2886227*s[13])/1056 - 
       (3089213*s[14])/3168 + (122767*s[15])/32 + (223695*s[16])/44 + 
       (9203501*s[17])/3168 + (35801*s[18])/162 + (1043795*s[19])/1296 + 
       (70626095*s[20])/14256 + (30381397*s[21])/28512 - 
       (45857081*s[22])/28512 - (1579543*s[23])/264 - (6299399*s[24])/1782 + 
       (687920537*s[25])/128304 - (274160621*s[26])/128304 - 4*s[27] - 
       12*s[29] - 5*s[30] + 11*s[31] + s[32]/2 + (165*s[33])/8 - 25*s[34] - 
       (11*s[35])/2 + (119*s[36])/6 - (523*s[37])/12 - (365*s[38])/2 + 
       (2697*s[39])/4 - (9313*s[40])/12 + (1197*s[41])/2 - (11567*s[42])/12 - 
       (87677*s[43])/132 + (368723*s[44])/528 - (176309*s[45])/264 + 
       (476847*s[46])/88 - (169285*s[47])/1584 - (366361*s[48])/1584 + 
       (4819327*s[49])/1584 - (290473*s[50])/66 - (969377*s[51])/1584 - 
       (698927*s[52])/1584 + (399977*s[53])/132 + (5441*s[54])/22 + 
       (10197419*s[55])/528 + (7174121*s[56])/1584 - (8677051*s[57])/2376 + 
       (113950645*s[58])/14256 - (122402167*s[59])/14256 - 
       (443367631*s[60])/9504 + (271283347*s[61])/128304 - 6*s[63] - 
       4*s[64] + 6*s[66] - s[67] + 20*s[68] - 8*s[69] + 8*s[70] - s[72] + 
       s[73] + (3*s[74])/4 - (3*s[75])/4 - (51*s[77])/2 - s[78] - 140*s[79] + 
       (251*s[80])/6 - 230*s[82] - 6*s[84] - 28*s[85]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((23*s[2])/4 + (35*s[3])/8 + (2227*s[4])/16 - (248*s[5])/11 + 
       (20745*s[6])/176 + (1685921*s[7])/3168 - (109777*s[8])/1584 - 
       (16787*s[9])/36 + (11305*s[10])/72 - (256835*s[11])/352 - 
       (130963*s[12])/132 - (2501569*s[13])/3168 + (195421*s[14])/352 - 
       (78143*s[15])/288 - (125629*s[16])/198 + (42139*s[17])/3168 - 
       (1390*s[18])/9 + (5959*s[19])/48 - (382163*s[20])/1584 - 
       (75983*s[21])/9504 + (2861723*s[22])/9504 + (2071697*s[23])/792 + 
       (6484*s[24])/297 - (50814235*s[25])/42768 + (17074315*s[26])/42768 + 
       11*s[31] - (3*s[32])/2 + (169*s[33])/8 - 31*s[34] - (23*s[35])/2 - 
       (91*s[36])/6 + (307*s[37])/12 + (71*s[38])/2 - 279*s[39] + 
       (1837*s[40])/6 - (835*s[41])/4 + (1417*s[42])/3 + (652*s[43])/33 - 
       (74197*s[44])/528 - (35005*s[45])/264 - (70801*s[46])/264 + 
       (486743*s[47])/1584 - (638953*s[48])/1584 - (265277*s[49])/1584 + 
       (6095*s[50])/66 + (549631*s[51])/1584 + (531229*s[52])/1584 + 
       (38147*s[53])/396 + (10663*s[54])/33 + (700483*s[55])/528 - 
       (129329*s[56])/528 + (4789721*s[57])/792 - (332751*s[58])/176 + 
       (2341505*s[59])/1584 - (12271939*s[60])/9504 + (128111*s[61])/42768 - 
       6*s[63] - 4*s[64] - 3*s[65] + 9*s[67] + 6*s[68] + 10*s[69] + 2*s[70] + 
       3*s[71] + 9*s[72] - 9*s[73] - (27*s[74])/4 + (27*s[75])/4 - 5*s[76] - 
       (13*s[77])/2 - 35*s[78] + 76*s[79] - (227*s[80])/6 - 218*s[82] - 
       6*s[84] - 28*s[85]) + HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-37*s[2])/2 + (149*s[3])/4 - (3599*s[4])/8 - (31887*s[5])/44 - 
       (108949*s[6])/88 - (18970889*s[7])/1584 + (1898227*s[8])/2376 + 
       (1112533*s[9])/108 + (373097*s[10])/108 + (20735521*s[11])/1584 + 
       (11104735*s[12])/792 + (13134761*s[13])/1584 + (3736783*s[14])/1584 + 
       (2338339*s[15])/144 + (8102585*s[16])/396 + (2888495*s[17])/176 + 
       (368053*s[18])/162 + (1212275*s[19])/648 + (176728463*s[20])/7128 + 
       (132560173*s[21])/14256 - (90406013*s[22])/14256 - 
       (8868113*s[23])/792 - (96160063*s[24])/7128 + (1035208475*s[25])/
        64152 - (593850941*s[26])/64152 - 10*s[31] + 4*s[32] + (7*s[33])/4 + 
       19*s[34] + 9*s[35] + (127*s[36])/3 - 39*s[37] - 417*s[38] + 
       1542*s[39] - (4924*s[40])/3 + (2489*s[41])/2 - (12991*s[42])/6 - 
       (43919*s[43])/33 + (374017*s[44])/264 - (63511*s[45])/44 + 
       (1517597*s[46])/132 - (419519*s[47])/792 - (163439*s[48])/792 + 
       (4958297*s[49])/792 - (289556*s[50])/33 - (1123819*s[51])/792 - 
       (915757*s[52])/792 + (601927*s[53])/99 + (2132*s[54])/33 + 
       (3368703*s[55])/88 + (7686587*s[56])/792 - (12446485*s[57])/1188 + 
       (127617403*s[58])/7128 - (130379089*s[59])/7128 - 
       (447161105*s[60])/4752 + (314044213*s[61])/64152 + 4*s[63] + 3*s[65] + 
       6*s[66] - 10*s[67] + 20*s[68] - 24*s[69] + 6*s[70] - 3*s[71] - 
       10*s[72] - 18*s[73] + (15*s[74])/2 - (15*s[75])/2 - 3*s[76] - 
       5*s[77] - 22*s[78] - 4*s[79] + 10*s[80] - 218*s[82] - 6*s[84] - 
       28*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*((-49*s[2])/12 + (301*s[3])/72 - 
       (21383*s[4])/144 - (13289*s[5])/792 - (15445*s[6])/528 - 
       (4336627*s[7])/3168 + (3883339*s[8])/14256 + (174163*s[9])/162 + 
       (222635*s[10])/648 + (14169565*s[11])/9504 + (8333251*s[12])/4752 + 
       (8316799*s[13])/9504 - (2293589*s[14])/9504 + (1653071*s[15])/864 + 
       (11458397*s[16])/4752 + (16325395*s[17])/9504 + (244081*s[18])/972 + 
       (889793*s[19])/3888 + (27432323*s[20])/10692 + 
       (67353235*s[21])/85536 - (61121237*s[22])/85536 - 
       (12891415*s[23])/4752 - (57303193*s[24])/42768 + 
       (779048471*s[25])/384912 - (91317137*s[26])/96228 + 4*s[29] - s[30] + 
       (10*s[31])/3 - (41*s[32])/18 + (101*s[33])/24 - (17*s[34])/3 + 
       (4*s[35])/3 + (281*s[36])/36 - (787*s[37])/36 + (791*s[38])/9 - 
       (11677*s[39])/144 + (16025*s[40])/144 - (4265*s[41])/48 + 
       (4483*s[42])/144 + (11227*s[43])/48 - (3533*s[44])/32 + 
       (1481*s[45])/6 - (179147*s[46])/144 - (134053*s[47])/864 + 
       (316721*s[48])/864 - (632273*s[49])/864 + (15407*s[50])/18 + 
       (20665*s[51])/864 + (88075*s[52])/864 - (14861*s[53])/27 + 96*s[54] - 
       (3560125*s[55])/864 - (105911*s[56])/96 - (44989*s[57])/72 - 
       (3987595*s[58])/2592 + (4086997*s[59])/2592 + (60325127*s[60])/5184 - 
       (11366981*s[61])/23328 - 2*s[63] - s[64]/2 + (11*s[65])/6 + 
       (19*s[66])/3 - (29*s[67])/3 - (44*s[68])/9 - (112*s[69])/9 + 
       (4*s[70])/3 - (19*s[71])/3 - (26*s[72])/3 + (17*s[73])/2 + 3*s[74] - 
       (7*s[75])/2 - (8*s[76])/3 + s[77]/9 - (73*s[78])/6 + (11*s[79])/3 + 
       (250*s[80])/9 - (1033*s[82])/3 - (25*s[83])/4 + (87*s[84])/2 - 
       (82*s[85])/3) + HPL[{1}, 1 - w]^3*HPL[{0, 1, 1, 1}, 1 - u]*
      ((-51*s[2])/8 + (45*s[3])/4 - (17*s[4])/8 - (740*s[5])/11 - 
       (20235*s[6])/176 - (239753*s[7])/264 + (61211*s[8])/1584 + 
       (27907*s[9])/36 + (51389*s[10])/144 + (998663*s[11])/1056 + 
       (953173*s[12])/1056 + (22821*s[13])/44 + (24941*s[14])/66 + 
       (8317*s[15])/6 + (294741*s[16])/176 + (1675153*s[17])/1056 + 
       (13841*s[18])/108 + (22237*s[19])/108 + (9746851*s[20])/4752 + 
       (3896149*s[21])/4752 - (1123117*s[22])/2376 - (75131*s[23])/352 - 
       (11680171*s[24])/9504 + (91595549*s[25])/85536 - 
       (59488193*s[26])/85536 + 3*s[30] - (3*s[32])/8 + (9*s[33])/2 - 
       3*s[34] + 3*s[35] - 4*s[36] + 12*s[37] - 4*s[38] + 10*s[39] - 
       (33*s[40])/2 + (239*s[41])/8 - (47*s[42])/8 - (1030*s[43])/11 + 
       (10495*s[44])/176 - (3675*s[45])/22 + (41463*s[46])/44 + 
       (9113*s[47])/132 - (46223*s[48])/264 + (52279*s[49])/132 - 
       (16781*s[50])/22 + (4693*s[51])/264 + (14869*s[52])/528 + 
       (26435*s[53])/44 + (10137*s[54])/88 + (1051529*s[55])/264 + 
       (262423*s[56])/264 + (237899*s[57])/198 + (1089457*s[58])/1188 - 
       (2553611*s[59])/2376 - (13789991*s[60])/1584 + 
       (22767259*s[61])/42768 - (3*s[68])/4 + (3*s[69])/4 - 6*s[70] - 
       (3*s[74])/2 + (3*s[75])/2 - 6*s[76] + (9*s[77])/4 + 6*s[78] + 
       12*s[79] + 3*s[80] - 129*s[82] - 27*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1, 1, 1}, 1 - v]*(-6*s[2] - (399*s[3])/16 - 
       (1527*s[4])/32 + (1029*s[5])/176 - (32729*s[6])/352 - 
       (394417*s[7])/704 + (29363*s[8])/1056 + (10873*s[9])/24 + 
       (8521*s[10])/48 + (480287*s[11])/704 + (274015*s[12])/352 + 
       (355407*s[13])/704 + (7845*s[14])/704 + (35599*s[15])/64 + 
       (330969*s[16])/352 + (424857*s[17])/704 + (13669*s[18])/144 + 
       (38125*s[19])/288 + (3263179*s[20])/3168 + (1864811*s[21])/6336 - 
       (1872319*s[22])/6336 - (40129*s[23])/88 - (272563*s[24])/396 + 
       (3231065*s[25])/3564 - (5799545*s[26])/14256 - (3*s[31])/2 + 
       (3*s[32])/2 - (9*s[33])/8 + 3*s[34] + 3*s[35] + (7*s[36])/4 + 
       (17*s[37])/4 - (57*s[38])/4 + (1041*s[39])/16 - (1249*s[40])/16 + 
       (1203*s[41])/16 - (1211*s[42])/16 - (11239*s[43])/176 + 
       (32689*s[44])/352 - (1036*s[45])/11 + (113749*s[46])/176 - 
       (6341*s[47])/1056 - (99731*s[48])/1056 + (368075*s[49])/1056 - 
       (23137*s[50])/44 - (104311*s[51])/1056 - (61987*s[52])/1056 + 
       (44593*s[53])/176 + (1422*s[54])/11 + (1714061*s[55])/1056 + 
       (451585*s[56])/1056 - (715177*s[57])/792 + (9980921*s[58])/9504 - 
       (7876883*s[59])/9504 - (34907177*s[60])/6336 + 
       (25716851*s[61])/85536 + (9*s[68])/4 - (9*s[69])/4 + (3*s[74])/8 - 
       (3*s[75])/8 + (3*s[76])/2 + (9*s[77])/4 - (3*s[78])/2 + 3*s[79] - 
       (7*s[80])/2 - 123*s[82] - 27*s[85]) + HPL[{1}, 1 - v]^3*
      HPL[{0, 1, 1, 1}, 1 - u]*((57*s[2])/8 - (51*s[3])/4 - (155*s[4])/8 + 
       (411*s[5])/8 + (135*s[6])/16 + (12715*s[7])/48 - (721*s[8])/144 - 
       (20957*s[9])/72 - (1907*s[10])/144 - (27259*s[11])/96 - 
       (30479*s[12])/96 - (7945*s[13])/48 - (2627*s[14])/48 - 
       (13477*s[15])/48 - (15493*s[16])/48 - (4995*s[17])/32 - 
       (37801*s[18])/216 + (30499*s[19])/216 - (260027*s[20])/432 - 
       (36935*s[21])/108 + (68749*s[22])/432 + (65947*s[23])/96 + 
       (24245*s[24])/864 - (2180275*s[25])/7776 + (1993903*s[26])/7776 + 
       6*s[31] - (3*s[32])/8 + (9*s[33])/2 - 12*s[34] - 12*s[35] - 7*s[36] + 
       (43*s[37])/4 + (117*s[38])/4 - (507*s[39])/4 + (445*s[40])/4 - 
       (365*s[41])/4 + (723*s[42])/4 + (105*s[43])/4 - (829*s[44])/16 - 
       4*s[45] - (547*s[46])/2 + (969*s[47])/8 - 203*s[48] - (1147*s[49])/8 + 
       119*s[50] + (1609*s[51])/12 + (2179*s[52])/16 - (893*s[53])/12 + 
       (1353*s[54])/8 - (6587*s[55])/24 - (3737*s[56])/24 + 
       (72013*s[57])/36 - (200689*s[58])/216 + (179521*s[59])/216 + 
       (12819*s[60])/16 - (211283*s[61])/3888 + (9*s[68])/4 - (9*s[69])/4 - 
       (3*s[74])/2 + (3*s[75])/2 - 6*s[76] + (9*s[77])/4 + 6*s[78] - 
       12*s[79] + 14*s[80] - 123*s[82] - 27*s[85]) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1, 1, 1}, 1 - v]*((-37*s[2])/4 + 
       (141*s[3])/16 - (591*s[4])/32 - (14313*s[5])/176 - (57657*s[6])/352 - 
       (2524675*s[7])/2112 + (154601*s[8])/3168 + (18295*s[9])/18 + 
       (61099*s[10])/144 + (2674073*s[11])/2112 + (1311305*s[12])/1056 + 
       (1638937*s[13])/2112 + (964115*s[14])/2112 + (336149*s[15])/192 + 
       (2253173*s[16])/1056 + (1379637*s[17])/704 + (65479*s[18])/432 + 
       (235231*s[19])/864 + (24429673*s[20])/9504 + (18770309*s[21])/19008 - 
       (11817049*s[22])/19008 - (136211*s[23])/528 - (7534969*s[24])/4752 + 
       (63727205*s[25])/42768 - (4795411*s[26])/5346 + 3*s[30] - 
       (3*s[31])/2 + (27*s[33])/8 + 6*s[35] - (9*s[36])/4 + (3*s[37])/4 - 
       (39*s[38])/2 + (681*s[39])/16 - (777*s[40])/16 + (981*s[41])/16 - 
       (777*s[42])/16 - (23343*s[43])/176 + (32847*s[44])/352 - 
       (4703*s[45])/22 + (222109*s[46])/176 + (18175*s[47])/352 - 
       (69935*s[48])/352 + (187739*s[49])/352 - (11040*s[50])/11 - 
       (15355*s[51])/352 - (1651*s[52])/352 + (399257*s[53])/528 + 
       (1109*s[54])/22 + (1767517*s[55])/352 + (1335623*s[56])/1056 + 
       (919285*s[57])/792 + (12994423*s[58])/9504 - (14082793*s[59])/9504 - 
       (8037859*s[60])/704 + (57844345*s[61])/85536 - (3*s[68])/4 + 
       (3*s[69])/4 - 6*s[70] - (9*s[74])/8 + (9*s[75])/8 - (9*s[76])/2 + 
       (9*s[77])/4 + (9*s[78])/2 + 15*s[79] - s[80]/2 - 117*s[82] - 
       27*s[85]) + HPL[{1}, 1 - u]^3*HPL[{0, 1, 1, 1}, 1 - w]*
      ((-21*s[2])/8 - (495*s[3])/16 - (1411*s[4])/32 - (4887*s[5])/88 - 
       (44865*s[6])/352 - (2729515*s[7])/2112 + (294029*s[8])/3168 + 
       (76897*s[9])/72 + (34217*s[10])/72 + (2792159*s[11])/2112 + 
       (170989*s[12])/132 + (1557037*s[13])/2112 + (654131*s[14])/2112 + 
       (408137*s[15])/192 + (2515433*s[16])/1056 + (1583875*s[17])/704 + 
       (59521*s[18])/432 + (310705*s[19])/864 + (26034427*s[20])/9504 + 
       (18114461*s[21])/19008 - (12296785*s[22])/19008 - 
       (892099*s[23])/1056 - (15474317*s[24])/9504 + (4440638*s[25])/2673 - 
       (40301249*s[26])/42768 - (3*s[30])/4 + (3*s[32])/2 - (9*s[33])/8 + 
       (3*s[34])/4 - (9*s[35])/4 + (35*s[36])/12 + (11*s[37])/8 - 
       (27*s[38])/4 + 59*s[39] - (297*s[40])/4 + 44*s[41] - (809*s[42])/8 - 
       (6213*s[43])/44 + (19763*s[44])/176 - (42307*s[45])/176 + 
       (246413*s[46])/176 + (5659*s[47])/88 - (17177*s[48])/88 + 
       (28455*s[49])/44 - (52587*s[50])/44 - (1010*s[51])/33 + 
       (4371*s[52])/176 + (496235*s[53])/528 + (7787*s[54])/44 + 
       (3213811*s[55])/528 + (83747*s[56])/66 + (1333003*s[57])/792 + 
       (398447*s[58])/297 - (8238773*s[59])/4752 - (4518549*s[60])/352 + 
       (58432159*s[61])/85536 + 3*s[68] - 3*s[69] + (3*s[70])/2 + 
       (3*s[74])/8 - (3*s[75])/8 + (3*s[76])/2 + (9*s[77])/4 - (3*s[78])/2 - 
       3*s[79] - (3*s[80])/4 - 99*s[82] - 27*s[85]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1, 1, 1}, 1 - w]*((63*s[2])/8 - 
       (339*s[3])/16 - (611*s[4])/32 + (3507*s[5])/88 + (1935*s[6])/352 + 
       (60739*s[7])/704 + (13003*s[8])/1056 - (3205*s[9])/24 + 
       (1093*s[10])/24 - (79735*s[11])/704 - (23351*s[12])/176 - 
       (85545*s[13])/704 - (16615*s[14])/704 + (855*s[15])/64 - 
       (6267*s[16])/352 + (53175*s[17])/704 - (9451*s[18])/144 + 
       (29471*s[19])/288 - (521071*s[20])/3168 - (995513*s[21])/6336 + 
       (427477*s[22])/6336 + (81179*s[23])/352 - (169795*s[24])/3168 - 
       (666379*s[25])/7128 + (1559711*s[26])/14256 - (3*s[30])/4 + 6*s[31] + 
       (27*s[33])/8 - (45*s[34])/4 - (51*s[35])/4 - 6*s[36] + (77*s[37])/8 + 
       (101*s[38])/4 - (189*s[39])/2 + (309*s[40])/4 - (251*s[41])/4 + 
       (1031*s[42])/8 + (1303*s[43])/44 - (3085*s[44])/88 - 
       (4199*s[45])/176 - (18167*s[46])/176 + (47507*s[47])/528 - 
       (81655*s[48])/528 - (58217*s[49])/528 - (432*s[50])/11 + 
       (12761*s[51])/176 + (26459*s[52])/264 + (2659*s[53])/176 + 
       (2845*s[54])/22 + (17239*s[55])/88 - (24043*s[56])/528 + 
       (1188437*s[57])/792 - (2694569*s[58])/4752 + (1248649*s[59])/2376 - 
       (188719*s[60])/792 + (3091469*s[61])/85536 + 3*s[68] - 3*s[69] + 
       (3*s[70])/2 - (9*s[74])/8 + (9*s[75])/8 - (9*s[76])/2 + (9*s[77])/4 + 
       (9*s[78])/2 - 15*s[79] + (53*s[80])/4 - 99*s[82] - 27*s[85]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((-157*s[2])/16 + (1073*s[3])/96 - (206543*s[4])/576 - 
       (1141259*s[5])/3168 - (576469*s[6])/704 - (274636913*s[7])/38016 + 
       (3204727*s[8])/6336 + (222673*s[9])/36 + (569837*s[10])/288 + 
       (33418927*s[11])/4224 + (54195601*s[12])/6336 + 
       (195737143*s[13])/38016 + (16072559*s[14])/12672 + 
       (33202591*s[15])/3456 + (231255839*s[16])/19008 + 
       (361703621*s[17])/38016 + (3553909*s[18])/2592 + 
       (5199241*s[19])/5184 + (837513463*s[20])/57024 + 
       (624203713*s[21])/114048 - (48481261*s[22])/12672 - 
       (17874071*s[23])/2376 - (75497863*s[24])/9504 + 
       (158467135*s[25])/16038 - (180158255*s[26])/32076 - (7*s[29])/6 + 
       (19*s[30])/24 - (16*s[31])/3 + (23*s[32])/24 - (67*s[33])/24 + 
       (187*s[34])/24 + (83*s[35])/24 + (239*s[36])/18 - (973*s[37])/72 - 
       (18139*s[38])/72 + (269587*s[39])/288 - (33491*s[40])/32 + 
       (236917*s[41])/288 - (11975*s[42])/9 - (2727541*s[43])/3168 + 
       (5528075*s[44])/6336 - (754097*s[45])/792 + (23545931*s[46])/3168 - 
       (5254673*s[47])/19008 - (3769475*s[48])/19008 + 
       (72578909*s[49])/19008 - (8973473*s[50])/1584 - 
       (17333153*s[51])/19008 - (14586361*s[52])/19008 + 
       (36921613*s[53])/9504 - (245885*s[54])/1584 + (472206419*s[55])/
        19008 + (126594191*s[56])/19008 - (24148253*s[57])/3564 + 
       (1992745849*s[58])/171072 - (2009188651*s[59])/171072 - 
       (6971833355*s[60])/114048 + (4940343787*s[61])/1539648 - s[65]/2 - 
       2*s[66] + (13*s[67])/6 - s[68]/2 + (16*s[69])/3 - (5*s[70])/6 + 
       (11*s[71])/6 - (23*s[72])/12 - (11*s[73])/12 + (149*s[74])/48 - 
       (149*s[75])/48 + (71*s[76])/12 - (17*s[77])/24 + (5*s[78])/12 - 
       (256*s[79])/3 + (331*s[80])/36 - (187*s[82])/6 + (3*s[83])/2 - 
       (93*s[84])/2 - 27*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]^2*((151*s[2])/48 - (2269*s[3])/96 + 
       (20989*s[4])/192 + (31517*s[5])/528 + (354157*s[6])/2112 + 
       (57338033*s[7])/38016 - (9238447*s[8])/57024 - (832693*s[9])/648 - 
       (662051*s[10])/2592 - (64502881*s[11])/38016 - 
       (37336423*s[12])/19008 - (46490165*s[13])/38016 + 
       (1973357*s[14])/38016 - (6178459*s[15])/3456 - (22329821*s[16])/9504 - 
       (6383983*s[17])/4224 - (1228435*s[18])/3888 - (1369901*s[19])/15552 - 
       (462192227*s[20])/171072 - (340731901*s[21])/342144 + 
       (275603549*s[22])/342144 + (47846357*s[23])/19008 + 
       (239405971*s[24])/171072 - (3454154135*s[25])/1539648 + 
       (1831128911*s[26])/1539648 - (11*s[29])/12 + s[30]/8 + (5*s[31])/2 - 
       (2*s[32])/3 + (17*s[33])/24 - (181*s[34])/24 - (17*s[35])/2 - 
       (361*s[36])/36 + (135*s[37])/8 + (609*s[38])/8 - (30739*s[39])/96 + 
       (96137*s[40])/288 - (24907*s[41])/96 + (141259*s[42])/288 + 
       (608455*s[43])/3168 - (662701*s[44])/3168 + (21779*s[45])/176 - 
       (4677439*s[46])/3168 + (2005301*s[47])/9504 - (501487*s[48])/2376 - 
       (7629515*s[49])/9504 + (199855*s[50])/198 + (828169*s[51])/2376 + 
       (1521287*s[52])/4752 - (1662521*s[53])/2376 + (99739*s[54])/396 - 
       (357079*s[55])/88 - (12275831*s[56])/9504 + (115822391*s[57])/28512 - 
       (260724289*s[58])/85536 + (31692245*s[59])/10692 + 
       (573571829*s[60])/57024 - (872853749*s[61])/1539648 - s[62]/12 - 
       s[65]/6 - (2*s[66])/3 + (4*s[67])/3 + (17*s[68])/4 - (7*s[69])/6 - 
       (2*s[70])/3 - (7*s[71])/6 + (19*s[72])/12 - (9*s[73])/4 - 
       (45*s[74])/16 + (133*s[75])/48 - (10*s[76])/3 + (83*s[77])/24 + 
       (85*s[78])/12 + (47*s[79])/3 + (22*s[80])/3 - (725*s[82])/4 + 
       s[83]/2 + 12*s[84] - 27*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*(-6*s[2] + (175*s[3])/12 - 
       (737*s[4])/6 - (13723*s[5])/264 - (13335*s[6])/88 - 
       (901543*s[7])/528 + (114739*s[8])/792 + (26771*s[9])/18 + 
       (25219*s[10])/72 + (1055761*s[11])/528 + (614837*s[12])/264 + 
       (265183*s[13])/176 - (21451*s[14])/528 + (101045*s[15])/48 + 
       (61583*s[16])/22 + (957383*s[17])/528 + (21023*s[18])/108 + 
       (67739*s[19])/216 + (7509053*s[20])/2376 + (4911097*s[21])/4752 - 
       (4493963*s[22])/4752 - (149825*s[23])/66 - (567680*s[24])/297 + 
       (57746483*s[25])/21384 - (28275947*s[26])/21384 - s[27]/2 - s[29] - 
       (3*s[30])/2 - 6*s[31] + (5*s[32])/6 - (5*s[33])/8 + (23*s[34])/2 - 
       (7*s[36])/4 - (23*s[37])/12 - (1007*s[38])/12 + (15469*s[39])/48 - 
       (18361*s[40])/48 + (4669*s[41])/16 - (20135*s[42])/48 - 
       (180163*s[43])/528 + (405509*s[44])/1056 - (4641*s[45])/22 + 
       (1150013*s[46])/528 - (12407*s[47])/3168 - (850805*s[48])/3168 + 
       (5348021*s[49])/3168 - (38461*s[50])/22 - (662449*s[51])/3168 - 
       (522559*s[52])/3168 + (144457*s[53])/132 + (16853*s[54])/66 + 
       (22595237*s[55])/3168 + (4800679*s[56])/3168 - (3505933*s[57])/2376 + 
       (88386077*s[58])/28512 - (95691107*s[59])/28512 - 
       (377140967*s[60])/19008 + (165052295*s[61])/256608 - s[67] + 
       (2*s[68])/3 - (5*s[69])/3 - s[70] - (3*s[71])/2 - 2*s[72] - 
       (3*s[73])/2 + s[74] - s[75]/2 + (8*s[77])/3 + (9*s[78])/2 - 73*s[79] + 
       (80*s[80])/3 - 236*s[82] + (21*s[83])/4 - (51*s[84])/2 - 26*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*
      ((-319*s[2])/96 - (2099*s[3])/192 - (200783*s[4])/1152 - 
       (91481*s[5])/704 - (1443641*s[6])/4224 - (231417851*s[7])/76032 + 
       (28186849*s[8])/114048 + (13288615*s[9])/5184 + (4319489*s[10])/5184 + 
       (254075077*s[11])/76032 + (69202745*s[12])/19008 + 
       (166061243*s[13])/76032 + (31492669*s[14])/76032 + 
       (27936037*s[15])/6912 + (48964183*s[16])/9504 + 
       (33742963*s[17])/8448 + (8604347*s[18])/15552 + 
       (14586707*s[19])/31104 + (2084478893*s[20])/342144 + 
       (1513311859*s[21])/684288 - (1092736679*s[22])/684288 - 
       (31525433*s[23])/9504 - (575150159*s[24])/171072 + 
       (13056841097*s[25])/3079296 - (7219027691*s[26])/3079296 + s[29]/2 - 
       (7*s[30])/16 - (11*s[31])/12 + (25*s[32])/48 - (41*s[33])/48 + 
       (91*s[34])/48 + (67*s[35])/48 + (625*s[36])/72 + (163*s[37])/288 - 
       (1739*s[38])/18 + (76549*s[39])/192 - (260399*s[40])/576 + 
       (208489*s[41])/576 - (109313*s[42])/192 - (276185*s[43])/704 + 
       (5166145*s[44])/12672 - (3147883*s[45])/6336 + (5769589*s[46])/1584 - 
       (1112885*s[47])/12672 - (1973195*s[48])/12672 + (7584625*s[49])/4224 - 
       (8973575*s[50])/3168 - (14669813*s[51])/38016 - 
       (3831845*s[52])/12672 + (12467017*s[53])/6336 + (14101*s[54])/792 + 
       (17824971*s[55])/1408 + (41574913*s[56])/12672 - 
       (10388011*s[57])/4752 + (615865903*s[58])/114048 - 
       (627371413*s[59])/114048 - (2310425075*s[60])/76032 + 
       (1693526017*s[61])/1026432 + s[65]/12 + s[66]/3 - (2*s[67])/3 + 
       (11*s[68])/24 - (43*s[69])/24 - s[70]/6 + (11*s[71])/48 - 
       (43*s[72])/24 - s[73]/8 + (59*s[74])/32 - (59*s[75])/32 + 
       (23*s[76])/24 + (73*s[77])/48 - (55*s[78])/24 - (307*s[79])/12 + 
       (415*s[80])/144 - (529*s[82])/4 - s[83]/4 - (57*s[84])/4 - 26*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((16*s[2])/3 - (127*s[3])/2 - (365*s[4])/12 + (5821*s[5])/264 + 
       (2707*s[6])/88 + (24005*s[7])/297 + (43687*s[8])/7128 - 
       (96871*s[9])/648 - (12929*s[10])/648 - (52909*s[11])/2376 + 
       (93809*s[12])/1188 + (19241*s[13])/792 - (419995*s[14])/2376 - 
       (17597*s[15])/72 - (72275*s[16])/792 - (260539*s[17])/1188 - 
       (82199*s[18])/1944 + (68525*s[19])/486 - (1312285*s[20])/5346 - 
       (3039677*s[21])/10692 + (1746191*s[22])/21384 + (29743*s[23])/396 - 
       (343703*s[24])/10692 + (49530925*s[25])/384912 + 
       (46038023*s[26])/384912 + (10*s[29])/3 - 2*s[30] + s[31] + 
       (4*s[32])/3 + (61*s[33])/12 - (7*s[34])/3 - (22*s[35])/3 + 
       (11*s[36])/9 + (893*s[37])/36 - (20*s[38])/3 - (745*s[39])/6 + 
       (2123*s[40])/18 - (191*s[41])/2 + (4981*s[42])/18 - 
       (14471*s[43])/198 + (8905*s[44])/396 - (330701*s[45])/792 + 
       (1139935*s[46])/792 + (282919*s[47])/1188 - (553367*s[48])/1188 + 
       (109778*s[49])/297 - (469537*s[50])/396 + (49961*s[51])/297 + 
       (168161*s[52])/1188 + (2149787*s[53])/2376 + (25010*s[54])/99 + 
       (2624393*s[55])/396 + (619933*s[56])/396 + (140543*s[57])/33 + 
       (6243113*s[58])/7128 - (3448465*s[59])/3564 - (207206275*s[60])/
        14256 + (128660615*s[61])/128304 - s[64]/2 + s[65]/6 + (2*s[66])/3 - 
       (8*s[67])/3 + 2*s[68] - (19*s[69])/3 - (14*s[70])/3 + (11*s[71])/6 + 
       (4*s[72])/3 - (2*s[73])/3 - (7*s[74])/3 + (11*s[75])/6 - (5*s[76])/3 + 
       5*s[77] + (17*s[78])/3 + (244*s[79])/3 - (553*s[80])/18 - 160*s[82] - 
       (29*s[83])/4 + (35*s[84])/2 - 26*s[85]) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*((151*s[2])/12 - 
       (813*s[3])/8 - (3931*s[4])/48 + (16987*s[5])/88 + (64157*s[6])/528 + 
       (3404743*s[7])/3168 + (432409*s[8])/14256 - (719747*s[9])/648 - 
       (150139*s[10])/648 - (11374367*s[11])/9504 - (3099241*s[12])/2376 - 
       (7035041*s[13])/9504 - (7095215*s[14])/9504 - (819427*s[15])/864 - 
       (1785397*s[16])/1188 - (8937941*s[17])/9504 - (470021*s[18])/972 + 
       (1040243*s[19])/3888 - (114360289*s[20])/42768 - 
       (111775409*s[21])/85536 + (56290921*s[22])/85536 + 
       (306115*s[23])/594 + (21329335*s[24])/21384 - (436029697*s[25])/
        384912 + (359406973*s[26])/384912 + 4*s[29] - (41*s[30])/6 + 
       (26*s[31])/3 + (11*s[32])/2 - (8*s[33])/3 - (5*s[34])/2 - 
       (47*s[35])/3 + (82*s[36])/9 + (205*s[37])/12 + (577*s[38])/6 - 
       (4441*s[39])/24 + (14419*s[40])/72 - (4147*s[41])/24 + 
       (16355*s[42])/72 + (90401*s[43])/792 - (71441*s[44])/792 + 
       (629*s[45])/11 - (507575*s[46])/792 + (53162*s[47])/297 - 
       (321197*s[48])/2376 - (188479*s[49])/594 + (50189*s[50])/198 + 
       (764171*s[51])/2376 + (162335*s[52])/594 - (107675*s[53])/1188 + 
       (161273*s[54])/396 - (392497*s[55])/792 - (976475*s[56])/1188 + 
       (26308423*s[57])/7128 - (20876467*s[58])/10692 + 
       (29325707*s[59])/21384 + (14392465*s[60])/3564 - 
       (106783495*s[61])/384912 + s[65] + 4*s[66] - 6*s[67] + 10*s[68] - 
       22*s[69] + (19*s[70])/2 - s[71] + s[72]/3 + (17*s[73])/3 + 
       (49*s[74])/12 - (43*s[75])/12 + (19*s[76])/6 + (32*s[77])/3 - 
       (37*s[78])/3 + (20*s[79])/3 - (31*s[80])/6 - 111*s[82] - 3*s[83] + 
       19*s[84] - 26*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]^3*((-281*s[2])/144 - (3659*s[3])/288 - 
       (78073*s[4])/576 - (20233*s[5])/198 - (94035*s[6])/352 - 
       (267808775*s[7])/114048 + (7821355*s[8])/42768 + 
       (30697505*s[9])/15552 + (2570731*s[10])/3888 + 
       (73133281*s[11])/28512 + (316128953*s[12])/114048 + 
       (188463695*s[13])/114048 + (42115255*s[14])/114048 + 
       (32965513*s[15])/10368 + (57270739*s[16])/14256 + 
       (60446971*s[17])/19008 + (4977751*s[18])/11664 + 
       (17495447*s[19])/46656 + (1218531781*s[20])/256608 + 
       (1769087923*s[21])/1026432 - (1260670625*s[22])/1026432 - 
       (285471001*s[23])/114048 - (2693760815*s[24])/1026432 + 
       (29917849189*s[25])/9237888 - (16643053849*s[26])/9237888 - 
       (13*s[30])/72 - s[31]/9 + s[32]/48 + (3*s[33])/32 - (19*s[34])/18 - 
       (11*s[35])/24 + (1525*s[36])/432 - (113*s[37])/432 - (3367*s[38])/48 + 
       (165421*s[39])/576 - (569995*s[40])/1728 + (152239*s[41])/576 - 
       (706043*s[42])/1728 - (5479313*s[43])/19008 + (176383*s[44])/594 - 
       (3549895*s[45])/9504 + (51578317*s[46])/19008 - 
       (1659671*s[47])/28512 - (7103683*s[48])/57024 + 
       (37714397*s[49])/28512 - (5048341*s[50])/2376 - 
       (15733943*s[51])/57024 - (12129167*s[52])/57024 + 
       (84697991*s[53])/57024 + (73255*s[54])/4752 + (60518743*s[55])/6336 + 
       (23466917*s[56])/9504 - (81153395*s[57])/57024 + 
       (225768211*s[58])/57024 - (231236567*s[59])/57024 - 
       (3897438953*s[60])/171072 + (1900030325*s[61])/1539648 + 
       (31*s[68])/36 - (31*s[69])/36 - (17*s[70])/36 + (3*s[71])/16 - 
       (13*s[72])/12 + s[73]/12 + (125*s[74])/144 - (125*s[75])/144 + 
       (8*s[76])/9 + (103*s[77])/72 - (2*s[78])/9 - (323*s[79])/12 + 
       (1615*s[80])/216 - (2497*s[82])/24 - (25*s[84])/2 - (77*s[85])/3) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      ((-323*s[2])/96 - (2569*s[3])/192 - (144449*s[4])/1152 - 
       (21733*s[5])/176 - (3594817*s[6])/12672 - (568284989*s[7])/228096 + 
       (60728359*s[8])/342144 + (16438307*s[9])/7776 + 
       (11172167*s[10])/15552 + (617554945*s[11])/228096 + 
       (330838603*s[12])/114048 + (390944981*s[13])/228096 + 
       (114294559*s[14])/228096 + (70273087*s[15])/20736 + 
       (30394183*s[16])/7128 + (260419045*s[17])/76032 + 
       (22791719*s[18])/46656 + (33750143*s[19])/93312 + 
       (5302002245*s[20])/1026432 + (3940284757*s[21])/2052864 - 
       (2681201837*s[22])/2052864 - (285851675*s[23])/114048 - 
       (2839379533*s[24])/1026432 + (31027653455*s[25])/9237888 - 
       (17840591195*s[26])/9237888 - (3*s[30])/16 - (11*s[31])/18 - 
       (7*s[32])/72 - (179*s[33])/288 + (49*s[34])/144 - s[35]/144 + 
       (587*s[36])/216 - (1885*s[37])/288 - (1217*s[38])/18 + 
       (52937*s[39])/192 - (543265*s[40])/1728 + (144979*s[41])/576 - 
       (42065*s[42])/108 - (5013695*s[43])/19008 + (10667101*s[44])/38016 - 
       (2279423*s[45])/6336 + (12331439*s[46])/4752 - 
       (8159975*s[47])/114048 - (10966757*s[48])/114048 + 
       (138000695*s[49])/114048 - (19007917*s[50])/9504 - 
       (31256023*s[51])/114048 - (24855967*s[52])/114048 + 
       (79229617*s[53])/57024 - (224827*s[54])/4752 + 
       (343431229*s[55])/38016 + (275338793*s[56])/114048 - 
       (268720819*s[57])/171072 + (3985797397*s[58])/1026432 - 
       (4005455251*s[59])/1026432 - (14776974899*s[60])/684288 + 
       (11062307587*s[61])/9237888 - s[65]/24 - s[66]/6 + s[67]/12 + 
       (2*s[68])/9 + (7*s[69])/36 + s[70]/18 - s[71]/48 - (71*s[72])/72 - 
       (139*s[73])/72 + (33*s[74])/32 - (33*s[75])/32 + (107*s[76])/72 + 
       (95*s[77])/144 - (41*s[78])/72 - (979*s[79])/36 + (1211*s[80])/144 - 
       (447*s[82])/4 + s[83]/8 - (32*s[84])/3 - (51*s[85])/2) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((-113*s[2])/16 - (3433*s[3])/96 - (101131*s[4])/192 - 
       (176765*s[5])/528 - (655799*s[6])/704 - (105792659*s[7])/12672 + 
       (38350207*s[8])/57024 + (18118699*s[9])/2592 + (5847689*s[10])/2592 + 
       (349466797*s[11])/38016 + (47694025*s[12])/4752 + 
       (230850751*s[13])/38016 + (37080337*s[14])/38016 + 
       (38577587*s[15])/3456 + (269144627*s[16])/19008 + 
       (415521199*s[17])/38016 + (11000891*s[18])/7776 + 
       (22072517*s[19])/15552 + (2818744979*s[20])/171072 + 
       (2001998923*s[21])/342144 - (1495116131*s[22])/342144 - 
       (174291727*s[23])/19008 - (1603403797*s[24])/171072 + 
       (2269984219*s[25])/192456 - (4896795997*s[26])/769824 - (5*s[29])/6 - 
       (35*s[30])/24 - (10*s[31])/3 - s[32]/8 - (25*s[33])/8 + (35*s[34])/8 + 
       (35*s[35])/8 + (181*s[36])/9 - (433*s[37])/24 - (6959*s[38])/24 + 
       (106205*s[39])/96 - (353327*s[40])/288 + (93785*s[41])/96 - 
       (452797*s[42])/288 - (3264337*s[43])/3168 + (6676163*s[44])/6336 - 
       (876325*s[45])/792 + (27877919*s[46])/3168 - (5563765*s[47])/19008 - 
       (5115559*s[48])/19008 + (88743055*s[49])/19008 - 
       (10753181*s[50])/1584 - (20146811*s[51])/19008 - 
       (16148393*s[52])/19008 + (44613733*s[53])/9504 - (68555*s[54])/1584 + 
       (20957103*s[55])/704 + (5389731*s[56])/704 - (67003463*s[57])/9504 + 
       (764643223*s[58])/57024 - (783101785*s[59])/57024 - 
       (8300859709*s[60])/114048 + (23644645*s[61])/6336 + (5*s[67])/6 + 
       (3*s[68])/2 + s[69]/6 + (5*s[70])/6 + (4*s[71])/3 - (15*s[72])/4 - 
       (37*s[73])/12 + (215*s[74])/48 - (215*s[75])/48 + (95*s[76])/12 + 
       (7*s[77])/8 - (65*s[78])/12 - (242*s[79])/3 + (263*s[80])/36 - 
       77*s[82] - (85*s[84])/2 - 25*s[85]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - u]*((-41*s[2])/12 - 
       (397*s[3])/48 - (12125*s[4])/96 - (38297*s[5])/264 - 
       (320389*s[6])/1056 - (25948375*s[7])/9504 + (2468617*s[8])/14256 + 
       (6045181*s[9])/2592 + (2074277*s[10])/2592 + (28518445*s[11])/9504 + 
       (15352831*s[12])/4752 + (6036809*s[13])/3168 + (2550539*s[14])/4752 + 
       (1050979*s[15])/288 + (4923851*s[16])/1056 + (17502511*s[17])/4752 + 
       (4237937*s[18])/7776 + (3101641*s[19])/7776 + (485501671*s[20])/
        85536 + (184109833*s[21])/85536 - (123340499*s[22])/85536 - 
       (4304915*s[23])/1584 - (261512543*s[24])/85536 + 
       (2838366529*s[25])/769824 - (1647745351*s[26])/769824 + s[30]/12 - 
       (5*s[31])/6 + s[32] + (7*s[33])/12 - (2*s[34])/3 + s[35]/18 + 
       (28*s[36])/9 + (37*s[37])/36 - (389*s[38])/4 + (51829*s[39])/144 - 
       (58253*s[40])/144 + (23569*s[41])/72 - (8873*s[42])/18 - 
       (592687*s[43])/1584 + (1207829*s[44])/3168 - (78295*s[45])/176 + 
       (1309223*s[46])/396 - (433535*s[47])/9504 - (2083997*s[48])/9504 + 
       (4154507*s[49])/2376 - (253126*s[50])/99 - (1510427*s[51])/4752 - 
       (2428183*s[52])/9504 + (8350261*s[53])/4752 + (172291*s[54])/1584 + 
       (35788649*s[55])/3168 + (13670893*s[56])/4752 - (3327383*s[57])/1782 + 
       (206560163*s[58])/42768 - (211250855*s[59])/42768 - 
       (398517371*s[60])/14256 + (1112984419*s[61])/769824 + s[68] - s[69] + 
       s[71]/2 - (2*s[72])/3 - (10*s[73])/3 + (43*s[74])/36 - (43*s[75])/36 + 
       (11*s[76])/9 + (19*s[77])/18 - (2*s[78])/3 - (50*s[79])/3 + 
       (19*s[80])/18 - (433*s[82])/3 - 8*s[84] - (74*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Omega2[w, u, v]*
      (-3*s[2] - 20*s[3] - (53*s[4])/3 - (961*s[5])/33 - (1731*s[6])/22 - 
       (84791*s[7])/132 + (22391*s[8])/1188 + (57505*s[9])/108 + 
       (28301*s[10])/108 + (546779*s[11])/792 + (273077*s[12])/396 + 
       (327053*s[13])/792 + (201479*s[14])/792 + (11441*s[15])/12 + 
       (941735*s[16])/792 + (860855*s[17])/792 + (27005*s[18])/324 + 
       (14893*s[19])/81 + (2584667*s[20])/1782 + (3649007*s[21])/7128 - 
       (2344207*s[22])/7128 - (79927*s[23])/792 - (6240673*s[24])/7128 + 
       (26511091*s[25])/32076 - (15425521*s[26])/32076 + s[32] + 6*s[37] - 
       (23*s[38])/3 + (17*s[39])/3 - (53*s[40])/3 + (97*s[41])/6 + 16*s[42] - 
       (646*s[43])/11 + (5367*s[44])/88 - (1473*s[45])/11 + 
       (22489*s[46])/33 + (48109*s[47])/792 - (129959*s[48])/792 + 
       (248087*s[49])/792 - (6374*s[50])/11 + (1229*s[51])/264 + 
       (16091*s[52])/792 + (152435*s[53])/396 + (3697*s[54])/33 + 
       (2189965*s[55])/792 + (55153*s[56])/88 + (201703*s[57])/198 + 
       (1504655*s[58])/2376 - (1595507*s[59])/2376 - (32073005*s[60])/4752 + 
       (311378*s[61])/891 + 2*s[68] - 2*s[69] + 2*s[77] - 134*s[82] - 
       24*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w]*((21*s[2])/2 - (1205*s[3])/8 - 
       (22211*s[4])/16 - (115235*s[5])/176 - (91873*s[6])/44 - 
       (59311085*s[7])/3168 + (3999563*s[8])/2376 + (6717761*s[9])/432 + 
       (2097487*s[10])/432 + (65574103*s[11])/3168 + (36130843*s[12])/1584 + 
       (43681523*s[13])/3168 + (4977133*s[14])/3168 + (7229137*s[15])/288 + 
       (50409709*s[16])/1584 + (25785365*s[17])/1056 + (3955669*s[18])/1296 + 
       (4274555*s[19])/1296 + (518644937*s[20])/14256 + 
       (361433869*s[21])/28512 - (278073107*s[22])/28512 - 
       (35729609*s[23])/1584 - (297097435*s[24])/14256 + 
       (6904645123*s[25])/256608 - (3652425283*s[26])/256608 + 6*s[29] - 
       12*s[30] + 7*s[31] + 10*s[32] - (29*s[33])/4 - (19*s[34])/2 - 
       20*s[35] + (253*s[36])/6 - (463*s[37])/12 - 591*s[38] + 
       (20175*s[39])/8 - (67381*s[40])/24 + (17489*s[41])/8 - 
       (89039*s[42])/24 - (541499*s[43])/264 + (1185835*s[44])/528 - 
       (523487*s[45])/264 + (2290373*s[46])/132 - (1653029*s[47])/1584 + 
       (226453*s[48])/1584 + (14765279*s[49])/1584 - (1750333*s[50])/132 - 
       (4053439*s[51])/1584 - (3173077*s[52])/1584 + (3627361*s[53])/396 - 
       (67633*s[54])/132 + (30064537*s[55])/528 + (7917131*s[56])/528 - 
       (4131023*s[57])/198 + (44732873*s[58])/1584 - (45340153*s[59])/1584 - 
       (1325502059*s[60])/9504 + (37815149*s[61])/5346 + s[65] + 4*s[66] - 
       8*s[67] - s[68]/2 - (31*s[69])/2 + (29*s[70])/2 - s[71] - 14*s[72] + 
       24*s[73] + 15*s[74] - 15*s[75] + 19*s[76] + (5*s[77])/2 - 14*s[78] - 
       280*s[79] + (461*s[80])/6 - 3*s[82] - 3*s[83] - 90*s[84] - 24*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Omega2[u, v, w]*
      (-3*s[2] - (41*s[3])/2 - (1989*s[4])/4 - (40751*s[5])/132 - 
       (109895*s[6])/132 - (17912887*s[7])/2376 + (2372107*s[8])/3564 + 
       (512150*s[9])/81 + (621223*s[10])/324 + (9857069*s[11])/1188 + 
       (21720839*s[12])/2376 + (4346713*s[13])/792 + (1829251*s[14])/2376 + 
       (717001*s[15])/72 + (2513297*s[16])/198 + (5734061*s[17])/594 + 
       (332512*s[18])/243 + (536095*s[19])/486 + (39571166*s[20])/2673 + 
       (112813171*s[21])/21384 - (84586529*s[22])/21384 - 
       (7350725*s[23])/792 - (173672321*s[24])/21384 + 
       (256843742*s[25])/24057 - (554058749*s[26])/96228 + (2*s[29])/3 - 
       2*s[30] - (8*s[31])/3 + (2*s[32])/3 - (17*s[33])/6 + (14*s[34])/3 + 
       (14*s[35])/3 + (176*s[36])/9 - 31*s[37] - (757*s[38])/3 + 
       (6541*s[39])/6 - (21991*s[40])/18 + 957*s[41] - (14407*s[42])/9 - 
       (184373*s[43])/198 + (401689*s[44])/396 - (23481*s[45])/22 + 
       (845050*s[46])/99 - (232795*s[47])/594 - (19757*s[48])/297 + 
       (2533207*s[49])/594 - (648892*s[50])/99 - (649217*s[51])/594 - 
       (1031047*s[52])/1188 + (1357544*s[53])/297 - (44989*s[54])/198 + 
       (951926*s[55])/33 + (4576201*s[56])/594 - (7202000*s[57])/891 + 
       (35840311*s[58])/2673 - (72514067*s[59])/5346 - (61753354*s[60])/891 + 
       (359170489*s[61])/96228 + s[65]/3 + (4*s[66])/3 - (4*s[67])/3 - 
       (4*s[68])/3 - (4*s[69])/3 + (2*s[70])/3 - s[71]/3 - (16*s[72])/3 + 
       (8*s[73])/3 + 6*s[74] - 6*s[75] + (22*s[76])/3 + (2*s[77])/3 - 
       (28*s[78])/3 - 108*s[79] + (86*s[80])/3 - 136*s[82] - s[83] - 
       46*s[84] - 24*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*((-15*s[2])/2 + (63*s[3])/2 - (711*s[4])/4 - 
       (22445*s[5])/44 - (31649*s[6])/44 - (5552887*s[7])/792 + 
       (32155*s[8])/132 + 6276*s[9] + (25915*s[10])/12 + (491233*s[11])/66 + 
       (669443*s[12])/88 + (3525437*s[13])/792 + (574357*s[14])/264 + 
       (716959*s[15])/72 + (1178119*s[16])/99 + (1001786*s[17])/99 + 
       (40018*s[18])/27 + (23819*s[19])/27 + (18279695*s[20])/1188 + 
       (14649821*s[21])/2376 - (2977655*s[22])/792 - (4301311*s[23])/792 - 
       (692683*s[24])/88 + (93280783*s[25])/10692 - (59523421*s[26])/10692 + 
       s[27] - 8*s[29] + 4*s[30] - 4*s[31] - 5*s[33] + 10*s[34] - 2*s[35] - 
       (44*s[36])/3 + (113*s[37])/6 - 220*s[38] + (1221*s[39])/2 - 
       (4211*s[40])/6 + 580*s[41] - (2513*s[42])/3 - (3821*s[43])/6 + 
       (6217*s[44])/12 - (10123*s[45])/12 + (66731*s[46])/12 - 
       (6941*s[47])/36 - (5291*s[48])/36 + (88649*s[49])/36 - 
       (12469*s[50])/3 - (24619*s[51])/36 - (22273*s[52])/36 + 
       (104863*s[53])/36 - (2855*s[54])/6 + (231259*s[55])/12 + 
       (63415*s[56])/12 - (23267*s[57])/6 + (462479*s[58])/54 - 
       (928195*s[59])/108 - (4974997*s[60])/108 + (4926925*s[61])/1944 - 
       2*s[65] - 8*s[66] + 12*s[67] + 2*s[68] + 22*s[69] + 9*s[71] + 
       4*s[72] - 12*s[73] - 3*s[74] + 3*s[75] - 8*s[77] + 20*s[78] - 
       72*s[79] - (43*s[80])/3 + 228*s[82] + 6*s[83] - 36*s[84] - 24*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      (-17*s[2] + 25*s[3] - 124*s[4] - (16589*s[5])/44 - (11933*s[6])/22 - 
       (460496*s[7])/99 + (7589*s[8])/33 + (25021*s[9])/6 + 
       (14735*s[10])/12 + (1308919*s[11])/264 + (453487*s[12])/88 + 
       (596963*s[13])/198 + (45971*s[14])/33 + (225617*s[15])/36 + 
       (3020371*s[16])/396 + (4955299*s[17])/792 + (31879*s[18])/27 + 
       (26753*s[19])/108 + (2972555*s[20])/297 + (4838593*s[21])/1188 - 
       (982037*s[22])/396 - (3761521*s[23])/792 - (3797417*s[24])/792 + 
       (31148291*s[25])/5346 - (19811549*s[26])/5346 - 8*s[29] + 4*s[30] - 
       12*s[31] - (13*s[33])/2 + 12*s[34] + (9*s[35])/2 - (43*s[36])/3 - 
       (185*s[37])/6 - 165*s[38] + (2385*s[39])/4 - (8207*s[40])/12 + 
       (2201*s[41])/4 - (10555*s[42])/12 - (66097*s[43])/132 + 
       (126443*s[44])/264 - (72493*s[45])/132 + (279337*s[46])/66 - 
       (266713*s[47])/792 + (101897*s[48])/792 + (1463131*s[49])/792 - 
       (101551*s[50])/33 - (589595*s[51])/792 - (449597*s[52])/792 + 
       (211414*s[53])/99 - (22366*s[54])/33 + (3597685*s[55])/264 + 
       (1088063*s[56])/264 - (64375*s[57])/11 + (17216447*s[58])/2376 - 
       (16764767*s[59])/2376 - (155950903*s[60])/4752 + 
       (20243759*s[61])/10692 - 2*s[65] - 8*s[66] + 12*s[67] + 2*s[68] + 
       22*s[69] + 2*s[71] + 4*s[72] - 12*s[73] - 2*s[74] + 2*s[75] + 
       8*s[76] - 8*s[77] + 16*s[78] - 64*s[79] + (31*s[80])/3 + 228*s[82] + 
       6*s[83] - 36*s[84] - 24*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      Nt[u, v, w]*(-3*s[2] - (53*s[3])/4 - (1963*s[4])/8 - (8083*s[5])/44 - 
       (41123*s[6])/88 - (1639405*s[7])/396 + (802649*s[8])/2376 + 
       (754147*s[9])/216 + (29818*s[10])/27 + (3592591*s[11])/792 + 
       (1958827*s[12])/396 + (2344871*s[13])/792 + (453313*s[14])/792 + 
       (396871*s[15])/72 + (1386581*s[16])/198 + (717289*s[17])/132 + 
       (62557*s[18])/81 + (390055*s[19])/648 + (59021071*s[20])/7128 + 
       (5358427*s[21])/1782 - (1936012*s[22])/891 - (3759691*s[23])/792 - 
       (4018447*s[24])/891 + (738741209*s[25])/128304 - 
       (408285365*s[26])/128304 - s[30]/2 - s[31] + s[32]/2 - s[33]/8 + 
       s[34]/2 + (2*s[35])/3 + (22*s[36])/3 - (35*s[37])/3 - 130*s[38] + 
       (13259*s[39])/24 - (15043*s[40])/24 + (11797*s[41])/24 - 
       (19295*s[42])/24 - (130421*s[43])/264 + (278503*s[44])/528 - 
       (52671*s[45])/88 + (605867*s[46])/132 - (280015*s[47])/1584 - 
       (149797*s[48])/1584 + (3567319*s[49])/1584 - (466669*s[50])/132 - 
       (869711*s[51])/1584 - (696425*s[52])/1584 + (243454*s[53])/99 - 
       (13229*s[54])/132 + (2753677*s[55])/176 + (6604657*s[56])/1584 - 
       (4568797*s[57])/1188 + (101140313*s[58])/14256 - 
       (102120233*s[59])/14256 - (357400015*s[60])/9504 + 
       (131340985*s[61])/64152 - 2*s[72] + (7*s[74])/3 - (7*s[75])/3 + 
       (8*s[76])/3 + (2*s[77])/3 - 2*s[78] - 56*s[79] + (50*s[80])/3 - 
       108*s[82] - 24*s[84] - 24*s[85]) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*((-259*s[2])/96 - (2873*s[3])/192 - 
       (147161*s[4])/1152 - (63949*s[5])/704 - (329237*s[6])/1408 - 
       (169363541*s[7])/76032 + (20948479*s[8])/114048 + 
       (9638905*s[9])/5184 + (3409817*s[10])/5184 + (184900471*s[11])/76032 + 
       (12479963*s[12])/4752 + (117474581*s[13])/76032 + 
       (24185107*s[14])/76032 + (21091459*s[15])/6912 + 
       (36563083*s[16])/9504 + (77695219*s[17])/25344 + 
       (5866703*s[18])/15552 + (12913169*s[19])/31104 + 
       (1540706627*s[20])/342144 + (1090759237*s[21])/684288 - 
       (794138201*s[22])/684288 - (42499051*s[23])/19008 - 
       (218556673*s[24])/85536 + (9500883455*s[25])/3079296 - 
       (5173703957*s[26])/3079296 + s[29] - s[30]/16 + (7*s[31])/12 + 
       s[32]/12 + (4*s[33])/3 - (59*s[34])/48 + (37*s[35])/48 + 
       (35*s[36])/9 + (751*s[37])/288 - (4235*s[38])/72 + (16025*s[39])/64 - 
       (163217*s[40])/576 + (130171*s[41])/576 - (68309*s[42])/192 - 
       (524773*s[43])/2112 + (3341887*s[44])/12672 - (2111215*s[45])/6336 + 
       (7659197*s[46])/3168 - (662599*s[47])/12672 - (1359625*s[48])/12672 + 
       (14948789*s[49])/12672 - (6063551*s[50])/3168 - 
       (9336275*s[51])/38016 - (736105*s[52])/4224 + (943681*s[53])/704 + 
       (100511*s[54])/1584 + (108727021*s[55])/12672 + 
       (27164455*s[56])/12672 - (4952197*s[57])/4752 + 
       (393923401*s[58])/114048 - (405485359*s[59])/114048 - 
       (1547668393*s[60])/76032 + (1140488665*s[61])/1026432 + (5*s[65])/24 + 
       (5*s[66])/6 - (17*s[67])/12 - s[68]/6 - (8*s[69])/3 - (7*s[70])/6 - 
       (13*s[71])/48 - (31*s[72])/24 + (3*s[73])/8 + (33*s[74])/32 - 
       (33*s[75])/32 - (13*s[76])/24 + (85*s[77])/48 - (31*s[78])/24 - 
       (175*s[79])/12 + (943*s[80])/144 - (477*s[82])/4 - (5*s[83])/8 - 
       6*s[84] - 24*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w]*((77*s[2])/6 - (565*s[3])/6 + 393*s[4] + 
       (11911*s[5])/33 + (106105*s[6])/132 + (16977307*s[7])/2376 - 
       (971587*s[8])/1782 - (2020699*s[9])/324 - (132905*s[10])/81 - 
       (9428137*s[11])/1188 - (20949505*s[12])/2376 - (12853669*s[13])/2376 - 
       (1955801*s[14])/2376 - (1935833*s[15])/216 - (6889303*s[16])/594 - 
       (1669021*s[17])/198 - (355199*s[18])/243 - (626611*s[19])/972 - 
       (149368129*s[20])/10692 - (112970315*s[21])/21384 + 
       (82372267*s[22])/21384 + (21485303*s[23])/2376 + 
       (154189933*s[24])/21384 - (1928333687*s[25])/192456 + 
       (1080548015*s[26])/192456 - (14*s[30])/3 + (34*s[31])/3 - 
       (5*s[32])/6 + (53*s[33])/6 - (89*s[34])/3 - (10*s[35])/3 - 
       (455*s[36])/18 + (86*s[37])/3 + (635*s[38])/2 - (30923*s[39])/24 + 
       (102917*s[40])/72 - (9095*s[41])/8 + (137653*s[42])/72 + 
       (816295*s[43])/792 - (1758005*s[44])/1584 + (30352*s[45])/33 - 
       (6740053*s[46])/792 + (2560561*s[47])/4752 - (441449*s[48])/4752 - 
       (21676015*s[49])/4752 + (2559311*s[50])/396 + (6442415*s[51])/4752 + 
       (5261519*s[52])/4752 - (10292729*s[53])/2376 + (186187*s[54])/396 - 
       (42684989*s[55])/1584 - (35580181*s[56])/4752 + (10383223*s[57])/891 - 
       (611022239*s[58])/42768 + (609604505*s[59])/42768 + 
       (1929443281*s[60])/28512 - (1340952335*s[61])/384912 - 2*s[64] - 
       (5*s[65])/6 - (2*s[66])/3 + (16*s[67])/3 - (2*s[68])/3 + 
       (28*s[69])/3 + (7*s[70])/3 - (7*s[71])/6 + (22*s[72])/3 - 6*s[73] - 
       (17*s[74])/2 + (17*s[75])/2 - (2*s[76])/3 - (35*s[77])/3 - 
       (29*s[78])/3 + (452*s[79])/3 - 37*s[80] - 296*s[82] - s[83] + 
       42*s[84] - 24*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((499*s[2])/36 + (431*s[3])/24 + 
       (286609*s[4])/144 + (12605*s[5])/12 + (212203*s[6])/72 + 
       (23885633*s[7])/864 - (1701469*s[8])/648 - (30041633*s[9])/1296 - 
       (4168601*s[10])/648 - (13319407*s[11])/432 - (29972317*s[12])/864 - 
       (6053699*s[13])/288 - (1184885*s[14])/864 - (30643165*s[15])/864 - 
       (1648909*s[16])/36 - (3569783*s[17])/108 - (9672845*s[18])/1944 - 
       (15015341*s[19])/3888 - (12846490*s[20])/243 - 
       (144471905*s[21])/7776 + (113360563*s[22])/7776 + (3575653*s[23])/96 + 
       (227515903*s[24])/7776 - (2817821729*s[25])/69984 + 
       (1482289265*s[26])/69984 - s[28]/6 - 9*s[29] + (59*s[30])/6 + 
       (142*s[31])/9 - (11*s[32])/12 + (385*s[33])/24 - (302*s[34])/9 - 
       (689*s[35])/18 - (4951*s[36])/54 + (17423*s[37])/108 + 
       (7123*s[38])/6 - (172639*s[39])/36 + (568211*s[40])/108 - 
       (72967*s[41])/18 + (377627*s[42])/54 + (4523191*s[43])/1188 - 
       (39621755*s[44])/9504 + (9197941*s[45])/2376 - (26050405*s[46])/792 + 
       (57102061*s[47])/28512 - (8790491*s[48])/28512 - 
       (496690891*s[49])/28512 + (7392463*s[50])/297 + 
       (136791125*s[51])/28512 + (112040843*s[52])/28512 - 
       (81012535*s[53])/4752 + (462491*s[54])/396 - (1012570547*s[55])/9504 - 
       (820698089*s[56])/28512 + (1781876131*s[57])/42768 - 
       (13992103141*s[58])/256608 + (14040673639*s[59])/256608 + 
       (45012056977*s[60])/171072 - (31844944027*s[61])/2309472 - s[64]/3 - 
       2*s[65] - (20*s[66])/3 + 12*s[67] + (137*s[68])/9 + (43*s[69])/9 - 
       (7*s[70])/3 + (7*s[71])/12 + (55*s[72])/3 - (95*s[73])/6 - 
       (989*s[74])/36 + (983*s[75])/36 - (103*s[76])/3 - (5*s[77])/2 + 
       (857*s[78])/18 + (3550*s[79])/9 - (1883*s[80])/27 - (1361*s[82])/6 + 
       (5*s[83])/2 + 168*s[84] - 24*s[85]) + HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*((-269*s[2])/96 - 
       (1697*s[3])/192 - (192521*s[4])/1152 - (282413*s[5])/2112 - 
       (4167187*s[6])/12672 - (665929901*s[7])/228096 + 
       (8622583*s[8])/38016 + (2131027*s[9])/864 + (1376885*s[10])/1728 + 
       (242936993*s[11])/76032 + (44017069*s[12])/12672 + 
       (471889927*s[13])/228096 + (35404295*s[14])/76032 + 
       (81011435*s[15])/20736 + (564899213*s[16])/114048 + 
       (881049737*s[17])/228096 + (8616769*s[18])/15552 + 
       (13185157*s[19])/31104 + (2025077719*s[20])/342144 + 
       (1480821913*s[21])/684288 - (349831679*s[22])/228096 - 
       (11367173*s[23])/3564 - (183347911*s[24])/57024 + 
       (193651655*s[25])/48114 - (433439741*s[26])/192456 + s[29]/4 - 
       (5*s[30])/16 - (17*s[31])/18 + s[32]/16 - (13*s[33])/12 - 
       (25*s[34])/144 - (143*s[35])/144 + (35*s[36])/9 - (2035*s[37])/432 - 
       (13513*s[38])/144 + (23565*s[39])/64 - (26853*s[40])/64 + 
       (64153*s[41])/192 - (150215*s[42])/288 - (2287427*s[43])/6336 + 
       (1562161*s[44])/4224 - (1068005*s[45])/2376 + (63125731*s[46])/19008 - 
       (1126579*s[47])/12672 - (561023*s[48])/4224 + (20588159*s[49])/12672 - 
       (902633*s[50])/352 - (13604429*s[51])/38016 - (3622343*s[52])/12672 + 
       (101587175*s[53])/57024 - (386395*s[54])/9504 + 
       (436283495*s[55])/38016 + (346778621*s[56])/114048 - 
       (183514211*s[57])/85536 + (5105861227*s[58])/1026432 - 
       (5171538133*s[59])/1026432 - (6313892419*s[60])/228096 + 
       (13825175623*s[61])/9237888 - s[67]/4 - s[68]/9 - (7*s[69])/18 - 
       (19*s[70])/36 + s[71]/4 - (11*s[72])/8 + (5*s[73])/8 + 
       (277*s[74])/288 - (277*s[75])/288 + (17*s[76])/8 + (41*s[77])/48 - 
       (35*s[78])/72 - (313*s[79])/9 + (1913*s[80])/216 - (361*s[82])/4 - 
       (191*s[84])/12 - (47*s[85])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*((7*s[2])/18 - (167*s[3])/6 - 
       (3259*s[4])/36 - (47107*s[5])/264 - (309029*s[6])/792 - 
       (13818793*s[7])/4752 + (528787*s[8])/2376 + (260431*s[9])/108 + 
       (24779*s[10])/27 + (814433*s[11])/264 + (5060917*s[12])/1584 + 
       (4437121*s[13])/2376 + (136195*s[14])/176 + (600559*s[15])/144 + 
       (12270037*s[16])/2376 + (20854423*s[17])/4752 + (765997*s[18])/1296 + 
       (561635*s[19])/1296 + (88463693*s[20])/14256 + (11654353*s[21])/4752 - 
       (21165647*s[22])/14256 - (11909659*s[23])/4752 - 
       (48820463*s[24])/14256 + (53611435*s[25])/14256 - 
       (33451087*s[26])/14256 - (2*s[29])/3 + (5*s[30])/3 + (20*s[31])/9 + 
       (4*s[32])/3 + (109*s[33])/12 - (145*s[34])/9 + (92*s[35])/9 + 
       (823*s[36])/54 + (445*s[37])/27 - (641*s[38])/12 + (5407*s[39])/24 - 
       (59083*s[40])/216 + (1861*s[41])/8 - (65345*s[42])/216 - 
       (944945*s[43])/2376 + (96391*s[44])/297 - (1576183*s[45])/2376 + 
       (510343*s[46])/132 + (359287*s[47])/3564 - (1384631*s[48])/3564 + 
       (23458793*s[49])/14256 - (1772513*s[50])/594 - (1777597*s[51])/14256 - 
       (998411*s[52])/7128 + (455701*s[53])/198 + (2021*s[54])/264 + 
       (36147839*s[55])/2376 + (55706467*s[56])/14256 + 
       (2987579*s[57])/2673 + (636376259*s[58])/128304 - 
       (691657427*s[59])/128304 - (2860643963*s[60])/85536 + 
       (1187477059*s[61])/577368 - s[64]/3 - s[65]/3 - 2*s[66] + 
       (8*s[67])/3 + (10*s[68])/9 + (47*s[69])/9 + 2*s[70] + (3*s[71])/2 + 
       2*s[72] - 10*s[73] - (67*s[74])/18 + (67*s[75])/18 - (44*s[76])/9 - 
       (41*s[77])/9 - (13*s[78])/9 + (482*s[79])/9 - (1349*s[80])/54 - 
       (568*s[82])/3 + (15*s[83])/4 - (29*s[84])/2 - (70*s[85])/3) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((53*s[2])/36 - (21*s[3])/2 + (779*s[4])/18 - (30949*s[5])/792 - 
       (100543*s[6])/3168 - (4573813*s[7])/28512 - (1725763*s[8])/85536 + 
       (1132279*s[9])/7776 + (621883*s[10])/3888 + (6545207*s[11])/57024 + 
       (1039837*s[12])/57024 - (87355*s[13])/1584 + (5175029*s[14])/14256 + 
       (355975*s[15])/864 + (502295*s[16])/1188 + (35420599*s[17])/57024 + 
       (1773989*s[18])/23328 + (619513*s[19])/23328 + 
       (44452393*s[20])/64152 + (44998979*s[21])/128304 - 
       (19399013*s[22])/256608 + (281845*s[23])/704 - 
       (138981019*s[24])/513216 - (36064021*s[25])/4618944 - 
       (720239639*s[26])/4618944 + 2*s[31] - (5*s[32])/12 + 2*s[33] - 
       (26*s[34])/3 - (83*s[35])/18 - (67*s[36])/18 + (125*s[37])/36 + 
       (605*s[38])/36 - (1819*s[39])/24 + (4561*s[40])/72 - (4187*s[41])/72 + 
       (16759*s[42])/144 + (611*s[43])/72 - (731*s[44])/48 - 
       (2923*s[45])/36 + (4403*s[46])/24 + (4289*s[47])/54 - 
       (59945*s[48])/432 - (415*s[49])/27 - (6911*s[50])/36 + 
       (1811*s[51])/24 + (39677*s[52])/432 + (9083*s[53])/54 + 
       (2081*s[54])/24 + (591043*s[55])/432 + (22343*s[56])/72 + 
       (76555*s[57])/48 - (95827*s[58])/648 + (86231*s[59])/1296 - 
       (6610361*s[60])/2592 + (2179175*s[61])/11664 + s[68]/18 - s[69]/18 + 
       s[70]/9 - s[71]/2 - (13*s[74])/9 + (13*s[75])/9 - (8*s[76])/9 - 
       s[77]/18 + (4*s[78])/3 + (4*s[79])/3 + (71*s[80])/9 - (457*s[82])/4 + 
       (2*s[84])/3 - (70*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*((-2347*s[2])/144 - 
       (8771*s[3])/288 - (35757*s[4])/64 - (1610263*s[5])/3168 - 
       (7746977*s[6])/6336 - (1169109097*s[7])/114048 + 
       (142888193*s[8])/171072 + (67089413*s[9])/7776 + 
       (21115987*s[10])/7776 + (1276138181*s[11])/114048 + 
       (345405571*s[12])/28512 + (828577051*s[13])/114048 + 
       (172835513*s[14])/114048 + (142324991*s[15])/10368 + 
       (989048843*s[16])/57024 + (518316985*s[17])/38016 + 
       (1431899*s[18])/729 + (66278185*s[19])/46656 + 
       (10515820681*s[20])/513216 + (7800856487*s[21])/1026432 - 
       (5493836047*s[22])/1026432 - (670508737*s[23])/57024 - 
       (5699507927*s[24])/513216 + (65407633345*s[25])/4618944 - 
       (36700538077*s[26])/4618944 + (11*s[29])/6 + (19*s[30])/24 - 
       (43*s[31])/9 - (175*s[32])/36 + (53*s[33])/144 + (541*s[34])/72 + 
       (191*s[35])/72 + (919*s[36])/27 - (7151*s[37])/432 - 
       (23857*s[38])/72 + (409921*s[39])/288 - (1375931*s[40])/864 + 
       (358045*s[41])/288 - (222533*s[42])/108 - (12512101*s[43])/9504 + 
       (25981073*s[44])/19008 - (15557695*s[45])/9504 + 
       (28957043*s[46])/2376 - (22926667*s[47])/57024 - 
       (15616573*s[48])/57024 + (337503247*s[49])/57024 - 
       (2772776*s[50])/297 - (79143095*s[51])/57024 - 
       (63716567*s[52])/57024 + (47373097*s[53])/7128 - 
       (1441559*s[54])/4752 + (801599039*s[55])/19008 + 
       (23459047*s[56])/2112 - (31610239*s[57])/3564 + 
       (3160662415*s[58])/171072 - (3226136167*s[59])/171072 - 
       (34004859127*s[60])/342144 + (118162631*s[61])/21384 - s[64]/4 + 
       (31*s[65])/72 + (49*s[66])/18 - (22*s[67])/9 - (41*s[68])/18 - 
       (64*s[69])/9 + (77*s[70])/36 + (4*s[71])/9 - (295*s[72])/36 - 
       (27*s[73])/4 + (925*s[74])/144 - (925*s[75])/144 + (211*s[76])/36 - 
       (331*s[77])/72 - (445*s[78])/36 - (602*s[79])/9 + (469*s[80])/216 - 
       (454*s[82])/3 - (47*s[83])/12 - 36*s[84] - 23*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((-17*s[2])/6 - (361*s[3])/18 + (36337*s[4])/72 + (16675*s[5])/99 + 
       (95217*s[6])/176 + (14299297*s[7])/2376 - (2877301*s[8])/4752 - 
       (2144729*s[9])/432 - (37132*s[10])/27 - (21866243*s[11])/3168 - 
       (25193449*s[12])/3168 - (23741833*s[13])/4752 + (81533*s[14])/264 - 
       (407947*s[15])/54 - (11804035*s[16])/1188 - (64121953*s[17])/9504 - 
       (892403*s[18])/1296 - (1756147*s[19])/1296 - (154323919*s[20])/14256 - 
       (1782425*s[21])/528 + (45518809*s[22])/14256 + (73494739*s[23])/9504 + 
       (198143873*s[24])/28512 - (805479127*s[25])/85536 + 
       (379168945*s[26])/85536 - 4*s[29] + 3*s[30] + 2*s[31] + (7*s[32])/9 + 
       (7*s[33])/4 - 7*s[34] - 10*s[35] - (91*s[36])/3 + (173*s[37])/6 + 
       (13459*s[38])/36 - (41153*s[39])/36 + (44033*s[40])/36 - 904*s[41] + 
       (107357*s[42])/72 + (410339*s[43])/396 - (862285*s[44])/792 + 
       (109412*s[45])/99 - (281791*s[46])/33 + (144895*s[47])/594 + 
       (781177*s[48])/2376 - (5941745*s[49])/1188 + (292737*s[50])/44 + 
       (1167355*s[51])/1188 + (1948415*s[52])/2376 - (10703177*s[53])/2376 - 
       (139747*s[54])/396 - (68432623*s[55])/2376 - (5454587*s[56])/792 + 
       (14918905*s[57])/2376 - (45769847*s[58])/3564 + 
       (95053495*s[59])/7128 + (1038439441*s[60])/14256 - 
       (72935869*s[61])/21384 - s[65] - 4*s[66] + 6*s[67] + (23*s[68])/9 + 
       (85*s[69])/9 + 2*s[70] + 4*s[72] - 8*s[73] - 6*s[74] + 6*s[75] - 
       6*s[76] - (13*s[77])/9 + 10*s[78] + 60*s[79] - (17*s[80])/3 - 
       (133*s[82])/6 + 3*s[83] + 30*s[84] - (68*s[85])/3) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      ((-53*s[2])/32 - (645*s[3])/64 - (63889*s[4])/384 - (41515*s[5])/352 - 
       (1253479*s[6])/4224 - (70720405*s[7])/25344 + (9033221*s[8])/38016 + 
       (1008521*s[9])/432 + (335863*s[10])/432 + (77360411*s[11])/25344 + 
       (21040897*s[12])/6336 + (49741261*s[13])/25344 + 
       (9098567*s[14])/25344 + (8736695*s[15])/2304 + (30336739*s[16])/6336 + 
       (10562481*s[17])/2816 + (2513071*s[18])/5184 + (4907911*s[19])/10368 + 
       (638049193*s[20])/114048 + (455940641*s[21])/228096 - 
       (332810209*s[22])/228096 - (19511321*s[23])/6336 - 
       (179103271*s[24])/57024 + (1996269713*s[25])/513216 - 
       (136303435*s[26])/64152 + (5*s[29])/4 - (3*s[30])/16 + s[31]/2 + 
       (5*s[32])/16 + (27*s[33])/16 - (31*s[34])/16 + (19*s[35])/16 + 
       (215*s[36])/24 - (47*s[37])/48 - (1407*s[38])/16 + (23037*s[39])/64 - 
       (77471*s[40])/192 + (61399*s[41])/192 - (99025*s[42])/192 - 
       (66467*s[43])/192 + (22943*s[44])/64 - (20263*s[45])/48 + 
       (607957*s[46])/192 - (17183*s[47])/192 - (403*s[48])/4 + 
       (307559*s[49])/192 - (79275*s[50])/32 - (99409*s[51])/288 - 
       (25313*s[52])/96 + (503885*s[53])/288 + (2087*s[54])/48 + 
       (3201589*s[55])/288 + (1617383*s[56])/576 - (3293429*s[57])/1728 + 
       (24186655*s[58])/5184 - (6266545*s[59])/1296 - (30431303*s[60])/1152 + 
       (131794997*s[61])/93312 + s[65]/4 + s[66] - (7*s[67])/4 - 
       (3*s[68])/4 - (11*s[69])/4 - (5*s[70])/4 - (15*s[72])/8 + 
       (17*s[73])/8 + (47*s[74])/32 - (47*s[75])/32 - s[76]/8 + 
       (25*s[77])/16 - (17*s[78])/8 - (45*s[79])/2 + (127*s[80])/24 - 
       (387*s[82])/4 - (3*s[83])/4 - (45*s[84])/4 - 22*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((56*s[2])/3 + (325*s[3])/36 + (2753*s[4])/36 + (136061*s[5])/792 + 
       (63775*s[6])/176 + (6271867*s[7])/2376 - (744035*s[8])/4752 - 
       (981895*s[9])/432 - (161497*s[10])/216 - (2997739*s[11])/1056 - 
       (3171217*s[12])/1056 - (8348215*s[13])/4752 - (305579*s[14])/396 - 
       (92270*s[15])/27 - (10391309*s[16])/2376 - (33643243*s[17])/9504 - 
       (33547*s[18])/48 - (59735*s[19])/432 - (8939681*s[20])/1584 - 
       (32966081*s[21])/14256 + (19615325*s[22])/14256 + 
       (24218857*s[23])/9504 + (76382635*s[24])/28512 - 
       (854440063*s[25])/256608 + (549369097*s[26])/256608 - s[27]/2 - 
       s[29] - (3*s[30])/2 + 8*s[31] - (7*s[32])/18 + (63*s[33])/8 - 
       (17*s[34])/2 - 10*s[35] - (27*s[36])/4 - (37*s[37])/12 - 
       (199*s[38])/18 + (1729*s[39])/144 - (6133*s[40])/144 + 
       (363*s[41])/16 + (1951*s[42])/144 - (127639*s[43])/1584 + 
       (311141*s[44])/3168 - (64835*s[45])/792 + (102023*s[46])/176 + 
       (1091617*s[47])/9504 - (1988537*s[48])/9504 + (4809269*s[49])/9504 - 
       (86945*s[50])/132 + (596999*s[51])/9504 + (754241*s[52])/9504 + 
       (1038337*s[53])/2376 + (77065*s[54])/198 + (27418001*s[55])/9504 + 
       (871657*s[56])/3168 + (1746155*s[57])/1188 + (7610387*s[58])/28512 - 
       (16617269*s[59])/28512 - (407003471*s[60])/57024 + 
       (11239729*s[61])/85536 + 2*s[66] - s[67] + (38*s[68])/9 - 
       (47*s[69])/9 + s[70] - (3*s[71])/2 + 2*s[72] - (3*s[73])/2 - s[74] + 
       (3*s[75])/2 - 6*s[76] + (2*s[77])/9 + (17*s[78])/2 - 53*s[79] + 
       29*s[80] - (1249*s[82])/6 + (9*s[83])/4 - (15*s[84])/2 - 
       (62*s[85])/3) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]*((2455*s[2])/72 - (3967*s[3])/36 + (5615*s[4])/72 + 
       (583351*s[5])/1584 + (213775*s[6])/396 + (142626977*s[7])/28512 - 
       (4935509*s[8])/21384 - (8809501*s[9])/1944 - (5469013*s[10])/3888 - 
       (77072969*s[11])/14256 - (161767289*s[12])/28512 - 
       (97737437*s[13])/28512 - (39872851*s[14])/28512 - 
       (17230051*s[15])/2592 - (58635059*s[16])/7128 - 
       (10457317*s[17])/1584 - (12262453*s[18])/11664 - 
       (5171099*s[19])/11664 - (1366550435*s[20])/128304 - 
       (1108344319*s[21])/256608 + (702860129*s[22])/256608 + 
       (117965821*s[23])/28512 + (1384969349*s[24])/256608 - 
       (14738947357*s[25])/2309472 + (9230335951*s[26])/2309472 - 
       (11*s[28])/8 + (31*s[29])/12 - (79*s[30])/12 + (473*s[31])/36 - 
       (251*s[32])/72 + (1447*s[33])/72 - (853*s[34])/36 - (241*s[35])/36 + 
       (1553*s[36])/216 + (4963*s[37])/432 + (4997*s[38])/36 - 
       (140395*s[39])/288 + (444013*s[40])/864 - (119423*s[41])/288 + 
       (606809*s[42])/864 + (3973031*s[43])/9504 - (7272481*s[44])/19008 + 
       (2515211*s[45])/9504 - (13430555*s[46])/4752 + 
       (10782995*s[47])/57024 - (2521087*s[48])/57024 - 
       (100554617*s[49])/57024 + (2536687*s[50])/1188 + 
       (28005913*s[51])/57024 + (23691667*s[52])/57024 - 
       (41093939*s[53])/28512 + (1138171*s[54])/4752 - 
       (166079359*s[55])/19008 - (1493159*s[56])/704 + 
       (53941721*s[57])/14256 - (795947945*s[58])/171072 + 
       (812490365*s[59])/171072 + (7880113325*s[60])/342144 - 
       (242110427*s[61])/256608 + 3*s[63] - s[64]/8 - (4*s[65])/9 + 
       (11*s[66])/9 - (4*s[67])/9 - (107*s[68])/18 - (53*s[69])/18 - 
       (251*s[70])/18 - (19*s[71])/72 + (67*s[72])/18 + (67*s[73])/12 - 
       (7*s[74])/6 + (7*s[75])/6 - (143*s[76])/18 + (277*s[77])/18 - 
       (139*s[78])/36 + (271*s[79])/9 + (2017*s[80])/216 - (371*s[82])/2 - 
       (5*s[83])/3 + (9*s[84])/2 - (61*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[w, v, u]*((-7*s[2])/2 - 
       (65*s[3])/12 + (19*s[4])/24 - (2455*s[5])/66 - (4943*s[6])/88 - 
       (853829*s[7])/1584 + (34433*s[8])/2376 + (50015*s[9])/108 + 
       (6403*s[10])/27 + (884291*s[11])/1584 + (418265*s[12])/792 + 
       (154717*s[13])/528 + (385601*s[14])/1584 + (13415*s[15])/16 + 
       (88815*s[16])/88 + (1544953*s[17])/1584 + (13469*s[18])/162 + 
       (90481*s[19])/648 + (9014101*s[20])/7128 + (6890207*s[21])/14256 - 
       (3995743*s[22])/14256 - (534*s[23])/11 - (2590207*s[24])/3564 + 
       (40316431*s[25])/64152 - (25760389*s[26])/64152 + s[30] + s[32]/3 + 
       (3*s[33])/2 - s[34] + s[35] - (4*s[36])/3 + (13*s[37])/2 - 
       (5*s[38])/3 - (25*s[39])/6 - (7*s[40])/2 + (13*s[41])/2 + 
       (37*s[42])/2 - (2737*s[43])/66 + (4607*s[44])/132 - 
       (14449*s[45])/132 + (71017*s[46])/132 + (1522*s[47])/33 - 
       (2531*s[48])/22 + (7006*s[49])/33 - (15475*s[50])/33 + 
       (227*s[51])/22 + (3577*s[52])/132 + (132733*s[53])/396 + 
       (1219*s[54])/11 + (915451*s[55])/396 + (102781*s[56])/198 + 
       (266863*s[57])/297 + (420859*s[58])/891 - (1884181*s[59])/3564 - 
       (460981*s[60])/88 + (19533665*s[61])/64152 + (2*s[68])/3 - 
       (2*s[69])/3 - 2*s[70] - s[74]/2 + s[75]/2 - 2*s[76] + (5*s[77])/3 + 
       2*s[78] + 4*s[79] + s[80] - 107*s[82] - 20*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*M1[u, v, w]*(-s[2]/6 - (29*s[3])/2 - 
       (211*s[4])/24 - (1327*s[5])/44 - (7121*s[6])/132 - 
       (784075*s[7])/1584 + (20153*s[8])/1188 + (90029*s[9])/216 + 
       (23813*s[10])/108 + (395795*s[11])/792 + (733859*s[12])/1584 + 
       (127759*s[13])/528 + (380689*s[14])/1584 + (116113*s[15])/144 + 
       (248855*s[16])/264 + (744151*s[17])/792 + (27671*s[18])/324 + 
       (83567*s[19])/648 + (1061398*s[20])/891 + (6311059*s[21])/14256 - 
       (3566441*s[22])/14256 - (14551*s[23])/176 - (9314015*s[24])/14256 + 
       (72558931*s[25])/128304 - (47214175*s[26])/128304 + (4*s[31])/3 + 
       s[32]/2 + s[33] - (8*s[34])/3 - (8*s[35])/3 - (14*s[36])/9 + 
       (115*s[37])/18 + (9*s[38])/2 - (115*s[39])/8 + (283*s[40])/72 + 
       (15*s[41])/8 + (2195*s[42])/72 - (25495*s[43])/792 + 
       (47363*s[44])/1584 - (83951*s[45])/792 + (22303*s[46])/44 + 
       (243623*s[47])/4752 - (513199*s[48])/4752 + (818173*s[49])/4752 - 
       (89467*s[50])/198 + (64759*s[51])/4752 + (163447*s[52])/4752 + 
       (43657*s[53])/132 + (3519*s[54])/44 + (3647093*s[55])/1584 + 
       (2313863*s[56])/4752 + (975928*s[57])/891 + (15888163*s[58])/42768 - 
       (18929155*s[59])/42768 - (142906981*s[60])/28512 + 
       (54380681*s[61])/192456 + (5*s[68])/3 - (5*s[69])/3 - s[74]/3 + 
       s[75]/3 - (4*s[76])/3 + (5*s[77])/3 + (4*s[78])/3 - (8*s[79])/3 + 
       (28*s[80])/9 - 98*s[82] - 20*s[85]) + HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*((-4*s[2])/3 - 15*s[3] - 
       (68603*s[4])/144 - (44599*s[5])/176 - (186871*s[6])/264 - 
       (2001431*s[7])/297 + (17959313*s[8])/28512 + (14616703*s[9])/2592 + 
       (4291811*s[10])/2592 + (142385873*s[11])/19008 + 
       (79602779*s[12])/9504 + (10638773*s[13])/2112 + 
       (7659497*s[14])/19008 + (1884677*s[15])/216 + (71340881*s[16])/6336 + 
       (157442107*s[17])/19008 + (4661017*s[18])/3888 + 
       (7925725*s[19])/7776 + (1110681409*s[20])/85536 + 
       (779567309*s[21])/171072 - (606124333*s[22])/171072 - 
       (55426025*s[23])/6336 - (1236751729*s[24])/171072 + 
       (7502328397*s[25])/769824 - (3958706737*s[26])/769824 + (5*s[29])/2 - 
       (9*s[30])/4 - s[31]/3 + (7*s[32])/6 + (53*s[33])/48 + (29*s[34])/12 + 
       (31*s[35])/6 + (833*s[36])/36 - (239*s[37])/9 - (9439*s[38])/36 + 
       (51233*s[39])/48 - (169855*s[40])/144 + (131597*s[41])/144 - 
       (222223*s[42])/144 - (468551*s[43])/528 + (678913*s[44])/704 - 
       (383665*s[45])/396 + (12448019*s[46])/1584 - (7494779*s[47])/19008 - 
       (525839*s[48])/19008 + (78097433*s[49])/19008 - (530103*s[50])/88 - 
       (20012555*s[51])/19008 - (16230421*s[52])/19008 + 
       (39452515*s[53])/9504 - (167059*s[54])/1584 + (495219365*s[55])/
        19008 + (130663487*s[56])/19008 - (119830655*s[57])/14256 + 
       (2152898479*s[58])/171072 - (2176282171*s[59])/171072 - 
       (7265904407*s[60])/114048 + (2587465031*s[61])/769824 + (7*s[65])/12 + 
       (7*s[66])/3 - (11*s[67])/3 - (5*s[68])/3 - (14*s[69])/3 - 
       (2*s[70])/3 - s[71]/12 - (16*s[72])/3 + (17*s[73])/3 + (71*s[74])/12 - 
       (71*s[75])/12 + 4*s[76] + (7*s[77])/6 - (55*s[78])/6 - 82*s[79] + 
       (109*s[80])/6 - (197*s[82])/3 - (7*s[83])/4 - (75*s[84])/2 - 
       20*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Omega2[v, w, u]*
      ((-23*s[2])/4 - (147*s[3])/8 - (6393*s[4])/16 - (72481*s[5])/264 - 
       (372587*s[6])/528 - (60411139*s[7])/9504 + (7919317*s[8])/14256 + 
       (433082*s[9])/81 + (129715*s[10])/81 + (66683965*s[11])/9504 + 
       (2301406*s[12])/297 + (1639829*s[13])/352 + (6309385*s[14])/9504 + 
       (2401967*s[15])/288 + (4230179*s[16])/396 + (76682099*s[17])/9504 + 
       (287803*s[18])/243 + (3451829*s[19])/3888 + (534690641*s[20])/42768 + 
       (385129219*s[21])/85536 - (285737315*s[22])/85536 - 
       (348189*s[23])/44 - (145636805*s[24])/21384 + (3466054643*s[25])/
        384912 - (1882396283*s[26])/384912 + (2*s[29])/3 - (3*s[30])/2 - 
       (14*s[31])/3 + (2*s[32])/3 - (11*s[33])/6 + (43*s[34])/6 + 
       (19*s[35])/6 + (349*s[36])/18 - (121*s[37])/4 - (1319*s[38])/6 + 
       (11201*s[39])/12 - (37397*s[40])/36 + (1603*s[41])/2 - 
       (49075*s[42])/36 - (311809*s[43])/396 + (1358407*s[44])/1584 - 
       (78825*s[45])/88 + (5665697*s[46])/792 - (1653257*s[47])/4752 - 
       (168389*s[48])/4752 + (17131139*s[49])/4752 - (1078817*s[50])/198 - 
       (4364221*s[51])/4752 - (3539059*s[52])/4752 + (4513853*s[53])/1188 - 
       (21539*s[54])/99 + (4218499*s[55])/176 + (30705341*s[56])/4752 - 
       (52165417*s[57])/7128 + (487959517*s[58])/42768 - 
       (492449743*s[59])/42768 - (1650397403*s[60])/28512 + 
       (1203724279*s[61])/384912 + s[65]/3 + (4*s[66])/3 - (4*s[67])/3 - 
       (7*s[68])/3 - s[69]/3 + (5*s[70])/3 - s[71]/3 - (13*s[72])/3 + 
       (5*s[73])/3 + (19*s[74])/4 - (19*s[75])/4 + (31*s[76])/3 - 
       (5*s[77])/6 - (31*s[78])/3 - 80*s[79] + (97*s[80])/6 - 143*s[82] - 
       s[83] - 34*s[84] - 20*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      Omega2[w, u, v]*(-s[2]/2 - (43*s[3])/4 - (789*s[4])/2 - 
       (70123*s[5])/264 - (179077*s[6])/264 - (29348117*s[7])/4752 + 
       (3857453*s[8])/7128 + (1682075*s[9])/324 + (1008383*s[10])/648 + 
       (32395541*s[11])/4752 + (17911247*s[12])/2376 + (7166251*s[13])/1584 + 
       (2997173*s[14])/4752 + (387907*s[15])/48 + (2734745*s[16])/264 + 
       (37040647*s[17])/4752 + (557681*s[18])/486 + (1693687*s[19])/1944 + 
       (259672165*s[20])/21384 + (186487025*s[21])/42768 - 
       (138902035*s[22])/42768 - (6084091*s[23])/792 - 
       (141606041*s[24])/21384 + (210654887*s[25])/24057 - 
       (228234889*s[26])/48114 + (2*s[29])/3 - (3*s[30])/2 - (5*s[31])/3 - 
       (4*s[32])/3 - (29*s[33])/24 + (19*s[34])/6 + (11*s[35])/3 + 
       (146*s[36])/9 - (161*s[37])/6 - (667*s[38])/3 + (5617*s[39])/6 - 
       (18889*s[40])/18 + (1629*s[41])/2 - (12214*s[42])/9 - 
       (162671*s[43])/198 + (704699*s[44])/792 - (126475*s[45])/132 + 
       (2973073*s[46])/396 - (739663*s[47])/2376 - (295219*s[48])/2376 + 
       (8955037*s[49])/2376 - (569011*s[50])/99 - (2182415*s[51])/2376 - 
       (1744607*s[52])/2376 + (2376289*s[53])/594 - (32773*s[54])/198 + 
       (6697435*s[55])/264 + (16045003*s[56])/2376 - (5978873*s[57])/891 + 
       (250139099*s[58])/21384 - (252957017*s[59])/21384 - 
       (873731293*s[60])/14256 + (634871027*s[61])/192456 + s[65]/3 + 
       (4*s[66])/3 - (4*s[67])/3 - (4*s[68])/3 - (4*s[69])/3 + (2*s[70])/3 - 
       s[71]/3 - (10*s[72])/3 + (2*s[73])/3 + (9*s[74])/2 - (9*s[75])/2 + 
       (16*s[76])/3 - (4*s[77])/3 - (22*s[78])/3 - 84*s[79] + 23*s[80] - 
       143*s[82] - s[83] - 34*s[84] - 20*s[85]) + HPL[{0, 1}, 1 - v]*
      Nt[u, v, w]*((-13*s[2])/3 - (65*s[3])/6 - (3857*s[4])/12 - 
       (56845*s[5])/264 - (18509*s[6])/33 - (12121315*s[7])/2376 + 
       (395414*s[8])/891 + (1389229*s[9])/324 + (848389*s[10])/648 + 
       (26726461*s[11])/4752 + (29480237*s[12])/4752 + (8843503*s[13])/2376 + 
       (165442*s[14])/297 + (362525*s[15])/54 + (2547932*s[16])/297 + 
       (1144147*s[17])/176 + (226943*s[18])/243 + (1446797*s[19])/1944 + 
       (215095355*s[20])/21384 + (77071865*s[21])/21384 - 
       (7164551*s[22])/2673 - (29165209*s[23])/4752 - 
       (236469743*s[24])/42768 + (1387755251*s[25])/192456 - 
       (376376845*s[26])/96228 + s[29] - s[30] - (4*s[31])/3 + (2*s[32])/3 - 
       s[33]/3 + (5*s[34])/3 + (8*s[35])/3 + (109*s[36])/9 - (167*s[37])/9 - 
       (1061*s[38])/6 + (8809*s[39])/12 - (29551*s[40])/36 + (1916*s[41])/3 - 
       (38381*s[42])/36 - (22843*s[43])/36 + (24541*s[44])/36 - 
       (13091*s[45])/18 + (206777*s[46])/36 - (55831*s[47])/216 - 
       (15217*s[48])/216 + (627343*s[49])/216 - (79205*s[50])/18 - 
       (157913*s[51])/216 - (31535*s[52])/54 + (82462*s[53])/27 - 
       (4879*s[54])/36 + (1390865*s[55])/72 + (123613*s[56])/24 - 
       (146330*s[57])/27 + (5850919*s[58])/648 - (5907991*s[59])/648 - 
       (60660709*s[60])/1296 + (2442287*s[61])/972 + s[65]/6 + (2*s[66])/3 - 
       (4*s[67])/3 - (4*s[68])/3 - (4*s[69])/3 - s[70]/3 - s[71]/6 - 
       (10*s[72])/3 + 2*s[73] + (7*s[74])/2 - (7*s[75])/2 + (11*s[76])/3 + 
       (2*s[77])/3 - (16*s[78])/3 - (194*s[79])/3 + (164*s[80])/9 - 
       98*s[82] - s[83]/2 - 27*s[84] - 20*s[85]) + 
     HPL[{0, 1}, 1 - u]*Nt[u, v, w]*((-13*s[2])/6 - (55*s[3])/4 - 
       (7613*s[4])/24 - (55817*s[5])/264 - (145925*s[6])/264 - 
       (23746883*s[7])/4752 + (3098537*s[8])/7128 + (339944*s[9])/81 + 
       (830021*s[10])/648 + (13092523*s[11])/2376 + (28891549*s[12])/4752 + 
       (5776523*s[13])/1584 + (2596133*s[14])/4752 + (314939*s[15])/48 + 
       (6650723*s[16])/792 + (1888762*s[17])/297 + (223999*s[18])/243 + 
       (708149*s[19])/972 + (26327639*s[20])/2673 + (150837881*s[21])/42768 - 
       (112154107*s[22])/42768 - (9532297*s[23])/1584 - 
       (231397921*s[24])/42768 + (169997378*s[25])/24057 - 
       (737263399*s[26])/192456 + s[29] - s[30] - (2*s[31])/3 + s[32]/3 + 
       (19*s[33])/12 + s[34]/3 + (7*s[35])/3 + (106*s[36])/9 - (39*s[37])/2 - 
       (1039*s[38])/6 + (8591*s[39])/12 - (28837*s[40])/36 + 623*s[41] - 
       (37379*s[42])/36 - (245783*s[43])/396 + (263741*s[44])/396 - 
       (94837*s[45])/132 + (558149*s[46])/99 - (599333*s[47])/2376 - 
       (181487*s[48])/2376 + (6725009*s[49])/2376 - (853489*s[50])/198 - 
       (1707247*s[51])/2376 - (340903*s[52])/594 + (3552229*s[53])/1188 - 
       (57679*s[54])/396 + (14996021*s[55])/792 + (12031775*s[56])/2376 - 
       (18876547*s[57])/3564 + (189477979*s[58])/21384 - 
       (190756501*s[59])/21384 - (654288161*s[60])/14256 + 
       (476506879*s[61])/192456 + s[65]/6 + (2*s[66])/3 - (4*s[67])/3 - 
       (4*s[68])/3 - (4*s[69])/3 - s[70]/3 - s[71]/6 - (8*s[72])/3 + 
       (4*s[73])/3 + (10*s[74])/3 - (10*s[75])/3 + 3*s[76] + s[77]/3 - 
       (10*s[78])/3 - 62*s[79] + (55*s[80])/3 - 98*s[82] - s[83]/2 - 
       27*s[84] - 20*s[85]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - u]*((-101*s[2])/24 - (211*s[3])/48 + 
       (2183*s[4])/144 - (4541*s[5])/99 - (133025*s[6])/2112 - 
       (1414093*s[7])/3168 - (1060151*s[8])/57024 + (2114057*s[9])/5184 + 
       (513629*s[10])/2592 + (16998031*s[11])/38016 + 
       (14746733*s[12])/38016 + (269387*s[13])/1188 + (440915*s[14])/1188 + 
       (2835*s[15])/4 + (15514751*s[16])/19008 + (32752507*s[17])/38016 + 
       (1324249*s[18])/15552 + (1248305*s[19])/15552 + 
       (102389707*s[20])/85536 + (21329639*s[21])/42768 - 
       (40523473*s[22])/171072 + (7869991*s[23])/38016 - 
       (204538001*s[24])/342144 + (1366853335*s[25])/3079296 - 
       (1125919735*s[26])/3079296 - s[29] + s[30]/2 - s[31] + (2*s[32])/3 - 
       (7*s[33])/16 + s[34]/2 - s[35]/4 - (25*s[36])/12 + (55*s[37])/36 + 
       (121*s[38])/72 - (5645*s[39])/144 + (3929*s[40])/144 - 
       (6391*s[41])/288 + (2545*s[42])/32 - (1855*s[43])/176 + 
       (10679*s[44])/2112 - (29401*s[45])/264 + (618407*s[46])/1584 + 
       (1081939*s[47])/19008 - (2089493*s[48])/19008 + (778709*s[49])/19008 - 
       (80453*s[50])/264 + (283871*s[51])/6336 + (526643*s[52])/19008 + 
       (2123357*s[53])/9504 - (4031*s[54])/198 + (36356875*s[55])/19008 + 
       (3454027*s[56])/6336 + (38437*s[57])/33 + (16096945*s[58])/57024 - 
       (16049827*s[59])/57024 - (465155597*s[60])/114048 + 
       (134751599*s[61])/513216 - s[65]/4 - s[66] + (3*s[67])/2 + 
       (4*s[68])/3 + (23*s[69])/12 + s[71]/4 + s[72]/2 - s[73] - 
       (3*s[74])/8 + (3*s[75])/8 + s[76]/4 + s[77]/12 + (5*s[78])/2 - 
       9*s[79] + (29*s[80])/12 - (1087*s[82])/12 + (3*s[83])/4 - 
       (9*s[84])/2 - 20*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - v]*((-5*s[2])/6 - (67*s[3])/16 + (467*s[4])/24 - 
       (149393*s[5])/3168 - (139141*s[6])/2112 - (3184739*s[7])/9504 - 
       (21957*s[8])/704 + (182383*s[9])/576 + (50633*s[10])/288 + 
       (4059761*s[11])/12672 + (330097*s[12])/1408 + (2465327*s[13])/19008 + 
       (824291*s[14])/2112 + (475489*s[15])/864 + (2999939*s[16])/4752 + 
       (28400819*s[17])/38016 + (511217*s[18])/5184 + (204481*s[19])/5184 + 
       (14060347*s[20])/14256 + (25670309*s[21])/57024 - 
       (1675033*s[22])/9504 + (11925295*s[23])/38016 - 
       (16814189*s[24])/38016 + (264004393*s[25])/1026432 - 
       (291219997*s[26])/1026432 - (3*s[29])/4 + s[30]/2 + s[31]/6 - 
       s[33]/16 - (25*s[34])/12 - (83*s[35])/12 - (431*s[36])/72 + 
       (1453*s[37])/144 + (131*s[38])/18 - (1777*s[39])/32 + 
       (12173*s[40])/288 - (201*s[41])/8 + (14815*s[42])/144 - 
       (11287*s[43])/1056 - (635*s[44])/6336 - (311543*s[45])/3168 + 
       (263159*s[46])/792 + (1362575*s[47])/19008 - (2682499*s[48])/19008 + 
       (287239*s[49])/19008 - (71099*s[50])/264 + (864917*s[51])/19008 + 
       (891673*s[52])/19008 + (449711*s[53])/2376 - (7327*s[54])/792 + 
       (30654451*s[55])/19008 + (8826079*s[56])/19008 + 
       (18400889*s[57])/14256 + (23041673*s[58])/171072 - 
       (17168291*s[59])/171072 - (413735677*s[60])/114048 + 
       (359720135*s[61])/1539648 - s[65]/4 - s[66] + (3*s[67])/2 + 
       (19*s[68])/12 + (17*s[69])/12 - s[70]/2 + s[71]/4 + s[72]/2 - 
       (3*s[73])/2 - (31*s[74])/24 + (31*s[75])/24 - (11*s[76])/12 + 
       (7*s[77])/12 + (14*s[78])/3 - (59*s[79])/6 + (523*s[80])/72 - 
       (1067*s[82])/12 + (3*s[83])/4 - (9*s[84])/2 - 20*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*
      ((-5*s[2])/3 - (155*s[3])/8 - (16531*s[4])/48 - (701315*s[5])/3168 - 
       (1839479*s[6])/3168 - (155008127*s[7])/28512 + (38795353*s[8])/85536 + 
       (35397017*s[9])/7776 + (11314099*s[10])/7776 + (42763805*s[11])/7128 + 
       (93877295*s[12])/14256 + (393697*s[13])/99 + (17314427*s[14])/28512 + 
       (3129923*s[15])/432 + (21917069*s[16])/2376 + (201935851*s[17])/
        28512 + (5149279*s[18])/5832 + (22429817*s[19])/23328 + 
       (688027661*s[20])/64152 + (961585853*s[21])/256608 - 
       (366166109*s[22])/128304 - (9541127*s[23])/1584 - 
       (1571392765*s[24])/256608 + (35742955921*s[25])/4618944 - 
       (19003835401*s[26])/4618944 + (5*s[29])/18 - (7*s[30])/6 - 
       (10*s[31])/9 - (7*s[32])/72 - (91*s[33])/72 + (16*s[34])/9 + 
       (22*s[35])/9 + (1417*s[36])/108 - (1025*s[37])/48 - (1730*s[38])/9 + 
       (12995*s[39])/18 - (21838*s[40])/27 + (9891*s[41])/16 - 
       (438101*s[42])/432 - (1598725*s[43])/2376 + (13607699*s[44])/19008 - 
       (853027*s[45])/1056 + (57995689*s[46])/9504 - (10553005*s[47])/57024 - 
       (12027973*s[48])/57024 + (178843855*s[49])/57024 - 
       (2814205*s[50])/594 - (39178253*s[51])/57024 - 
       (30758075*s[52])/57024 + (93654677*s[53])/28512 + (5047*s[54])/2376 + 
       (133163621*s[55])/6336 + (307850605*s[56])/57024 - 
       (353512793*s[57])/85536 + (4686391931*s[58])/513216 - 
       (4787886911*s[59])/513216 - (17500516831*s[60])/342144 + 
       (1528113217*s[61])/577368 + (2*s[65])/9 + (8*s[66])/9 - (11*s[67])/9 + 
       (13*s[68])/36 - (83*s[69])/36 + (7*s[70])/9 - (13*s[71])/72 - 
       (23*s[72])/9 + (22*s[73])/9 + (7*s[74])/2 - (7*s[75])/2 + 
       (38*s[76])/9 - (11*s[77])/36 - (103*s[78])/18 - (431*s[79])/6 + 
       (1433*s[80])/72 - 163*s[82] - (2*s[83])/3 - (83*s[84])/3 - 
       (59*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - v]*((-55*s[2])/12 - (167*s[3])/72 - (29321*s[4])/144 - 
       (241955*s[5])/1584 - (1131061*s[6])/3168 - (49245305*s[7])/14256 + 
       (24731053*s[8])/85536 + (22802039*s[9])/7776 + (880523*s[10])/972 + 
       (216733585*s[11])/57024 + (238258343*s[12])/57024 + 
       (2206682*s[13])/891 + (10381103*s[14])/28512 + (5917993*s[15])/1296 + 
       (82830449*s[16])/14256 + (83932411*s[17])/19008 + 
       (7687817*s[18])/11664 + (1398253*s[19])/2916 + 
       (1763235677*s[20])/256608 + (80346961*s[21])/32076 - 
       (468699169*s[22])/256608 - (244690711*s[23])/57024 - 
       (1896394961*s[24])/513216 + (22337391289*s[25])/4618944 - 
       (12299326789*s[26])/4618944 - (5*s[30])/18 - (22*s[31])/9 + 
       (17*s[32])/72 - (17*s[33])/16 + (29*s[34])/12 + (7*s[35])/2 + 
       (77*s[36])/8 - (271*s[37])/36 - (9059*s[38])/72 + (149929*s[39])/288 - 
       (168365*s[40])/288 + (130627*s[41])/288 - (216709*s[42])/288 - 
       (475445*s[43])/1056 + (1507549*s[44])/3168 - (618197*s[45])/1188 + 
       (38698447*s[46])/9504 - (1631177*s[47])/9504 - (110885*s[48])/2376 + 
       (19883495*s[49])/9504 - (416029*s[50])/132 - (386587*s[51])/792 - 
       (1921979*s[52])/4752 + (62496131*s[53])/28512 + (14731*s[54])/2376 + 
       (32831587*s[55])/2376 + (102390103*s[56])/28512 - 
       (326087095*s[57])/85536 + (204424849*s[58])/32076 - 
       (835165129*s[59])/128304 - (1898815291*s[60])/57024 + 
       (255575627*s[61])/144342 - s[68]/2 + s[69]/2 - (17*s[70])/18 + 
       (3*s[71])/8 - 2*s[72] + s[73] + (13*s[74])/6 - (13*s[75])/6 + 
       (10*s[76])/3 + (5*s[77])/9 - (5*s[78])/2 - (841*s[79])/18 + 
       (248*s[80])/27 - (227*s[82])/4 - 24*s[84] - (56*s[85])/3) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((-79*s[2])/48 - (787*s[3])/32 - (130825*s[4])/576 - 
       (607283*s[5])/3168 - (2934257*s[6])/6336 - (471832627*s[7])/114048 + 
       (54019567*s[8])/171072 + (13485491*s[9])/3888 + (4845061*s[10])/3888 + 
       (506896015*s[11])/114048 + (133835267*s[12])/28512 + 
       (104553931*s[13])/38016 + (90721195*s[14])/114048 + 
       (20262455*s[15])/3456 + (137455975*s[16])/19008 + 
       (683120105*s[17])/114048 + (16762697*s[18])/23328 + 
       (34215701*s[19])/46656 + (4382448887*s[20])/513216 + 
       (3187751089*s[21])/1026432 - (2210119853*s[22])/1026432 - 
       (75022837*s[23])/19008 - (2450799211*s[24])/513216 + 
       (25704614363*s[25])/4618944 - (14512746209*s[26])/4618944 - s[27]/8 - 
       (10*s[29])/9 - (5*s[30])/24 + (13*s[31])/9 - (13*s[32])/36 - 
       s[33]/144 - (431*s[34])/72 + (331*s[35])/72 + (2209*s[36])/216 + 
       (35*s[37])/16 - (7441*s[38])/72 + (7409*s[39])/16 - 
       (225737*s[40])/432 + (61291*s[41])/144 - (147305*s[42])/216 - 
       (2008045*s[43])/4752 + (8726389*s[44])/19008 - (182141*s[45])/352 + 
       (38103359*s[46])/9504 - (7139783*s[47])/57024 - 
       (4271291*s[48])/57024 + (113316605*s[49])/57024 - 
       (15164359*s[50])/4752 - (26672203*s[51])/57024 - 
       (19369969*s[52])/57024 + (64332115*s[53])/28512 + (33293*s[54])/2376 + 
       (272396887*s[55])/19008 + (203544971*s[56])/57024 - 
       (24760097*s[57])/10692 + (3014111707*s[58])/513216 - 
       (3140985319*s[59])/513216 - (11456997509*s[60])/342144 + 
       (2049545371*s[61])/1154736 - (5*s[65])/36 - (5*s[66])/9 + 
       (25*s[67])/18 + (37*s[68])/18 + (13*s[69])/18 + (25*s[70])/18 - 
       (5*s[71])/18 - (55*s[72])/36 - (55*s[73])/36 + (33*s[74])/16 - 
       (33*s[75])/16 + (13*s[76])/36 + (43*s[77])/72 - (85*s[78])/36 - 
       (265*s[79])/6 + (727*s[80])/72 - (376*s[82])/3 + (5*s[83])/12 - 
       (55*s[84])/3 - (55*s[85])/3) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((-5*s[2])/2 - (121*s[3])/16 - (23111*s[4])/96 - 
       (28663*s[5])/176 - (445979*s[6])/1056 - (3028469*s[7])/792 + 
       (165067*s[8])/528 + (103381*s[9])/32 + (31885*s[10])/32 + 
       (4446443*s[11])/1056 + (4874465*s[12])/1056 + (4401131*s[13])/1584 + 
       (467507*s[14])/1056 + (40341*s[15])/8 + (20387707*s[16])/3168 + 
       (7784281*s[17])/1584 + (606391*s[18])/864 + (483977*s[19])/864 + 
       (71934131*s[20])/9504 + (12993263*s[21])/4752 - (3189821*s[22])/1584 - 
       (14290745*s[23])/3168 - (6575315*s[24])/1584 + 
       (114899725*s[25])/21384 - (7851194*s[26])/2673 - s[30]/2 - s[31] + 
       s[32]/4 - (11*s[33])/16 + (9*s[34])/4 + s[35] + 9*s[36] - 9*s[37] - 
       (537*s[38])/4 + (13163*s[39])/24 - (14747*s[40])/24 + 
       (23437*s[41])/48 - (37993*s[42])/48 - (42931*s[43])/88 + 
       (90539*s[44])/176 - (24273*s[45])/44 + (191117*s[46])/44 - 
       (92077*s[47])/528 - (41675*s[48])/528 + (2336497*s[49])/1056 - 
       (441413*s[50])/132 - (568723*s[51])/1056 - (230345*s[52])/528 + 
       (3655871*s[53])/1584 - (30311*s[54])/528 + (11570105*s[55])/792 + 
       (12200075*s[56])/3168 - (1182418*s[57])/297 + (193367359*s[58])/
        28512 - (195685579*s[59])/28512 - (75056339*s[60])/2112 + 
       (482658541*s[61])/256608 + s[68]/2 - s[69]/2 + s[71]/2 - 2*s[72] + 
       (5*s[74])/2 - (5*s[75])/2 + 3*s[76] + s[77] - 2*s[78] - 50*s[79] + 
       (28*s[80])/3 - 42*s[82] - 24*s[84] - 18*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((-463*s[2])/144 + (7069*s[3])/288 - (17681*s[4])/64 - 
       (793255*s[5])/3168 - (3316745*s[6])/6336 - (578982133*s[7])/114048 + 
       (69338681*s[8])/171072 + (33727457*s[9])/7776 + 
       (10255885*s[10])/7776 + (643969181*s[11])/114048 + 
       (22220939*s[12])/3564 + (429945295*s[13])/114048 + 
       (64444157*s[14])/114048 + (68534867*s[15])/10368 + 
       (482870711*s[16])/57024 + (240575201*s[17])/38016 + 
       (1336885*s[18])/1458 + (35744821*s[19])/46656 + 
       (5149807273*s[20])/513216 + (3786396659*s[21])/1026432 - 
       (2771457043*s[22])/1026432 - (326126839*s[23])/57024 - 
       (2877215369*s[24])/513216 + (33121606483*s[25])/4618944 - 
       (18235891783*s[26])/4618944 + (5*s[29])/6 - (13*s[30])/24 - 
       (10*s[31])/9 + (265*s[32])/72 - (109*s[33])/144 + (181*s[34])/72 + 
       (139*s[35])/72 + (1087*s[36])/108 - (1967*s[37])/108 - 
       (17233*s[38])/72 + (246767*s[39])/288 - (806573*s[40])/864 + 
       (23271*s[41])/32 - (508361*s[42])/432 - (7674835*s[43])/9504 + 
       (15649901*s[44])/19008 - (4113533*s[45])/4752 + 
       (64288655*s[46])/9504 - (11930155*s[47])/57024 - 
       (14066641*s[48])/57024 + (212835619*s[49])/57024 - 
       (24780605*s[50])/4752 - (44115623*s[51])/57024 - 
       (35852375*s[52])/57024 + (102318901*s[53])/28512 + 
       (464671*s[54])/4752 + (434500991*s[55])/19008 + 
       (107990567*s[56])/19008 - (24085639*s[57])/4752 + 
       (1745612453*s[58])/171072 - (1798170791*s[59])/171072 - 
       (19363847077*s[60])/342144 + (4342626583*s[61])/1539648 + 
       (5*s[65])/36 + (5*s[66])/9 - (10*s[67])/9 + (25*s[68])/18 - 
       (29*s[69])/18 - (5*s[70])/18 + (13*s[71])/36 - (79*s[72])/36 - 
       (3*s[73])/4 + (119*s[74])/48 - (119*s[75])/48 + (89*s[76])/36 + 
       (199*s[77])/72 - (139*s[78])/36 - (347*s[79])/9 + (307*s[80])/54 - 
       142*s[82] - (5*s[83])/12 - 19*s[84] - (49*s[85])/3) + 
     HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*(40*s[2] - 52*s[3] - 
       100*s[4] + (5057*s[5])/11 + (5325*s[6])/11 + (253735*s[7])/66 - 
       (7189*s[8])/198 - (65591*s[9])/18 - (11246*s[10])/9 - 
       (257885*s[11])/66 - (121892*s[12])/33 - (138397*s[13])/66 - 
       (67153*s[14])/33 - (16637*s[15])/3 - (215444*s[16])/33 - 
       (68657*s[17])/11 - (28430*s[18])/27 - (9509*s[19])/54 - 
       (5362175*s[20])/594 - (2418839*s[21])/594 + (1236415*s[22])/594 + 
       (53155*s[23])/33 + (2399149*s[24])/594 - (44017285*s[25])/10692 + 
       (33997405*s[26])/10692 - 4*s[27] - 4*s[29] - 6*s[30] + 10*s[31] - 
       s[32] + (27*s[33])/2 - 24*s[34] + 14*s[36] + 10*s[37] + 40*s[38] - 
       290*s[39] + 306*s[40] - 268*s[41] + 470*s[42] + (1500*s[43])/11 - 
       (1586*s[44])/11 + (3393*s[45])/11 - (22241*s[46])/11 + 
       (3888*s[47])/11 - (4384*s[48])/11 - (5526*s[49])/11 + 
       (15496*s[50])/11 + (14228*s[51])/33 + (3984*s[52])/11 - 
       (33290*s[53])/33 + (7588*s[54])/11 - (70331*s[55])/11 - 
       (73024*s[56])/33 + (312412*s[57])/99 - (1087145*s[58])/297 + 
       (956492*s[59])/297 + (308769*s[60])/22 - (6034603*s[61])/5346 - 
       4*s[64] + 2*s[66] + 18*s[68] - 10*s[69] + 8*s[70] - 16*s[77] - 
       12*s[79] - 8*s[80] - 104*s[82] - 16*s[85]) + 
     HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*(-10*s[2] - 66*s[3] - 
       480*s[4] + (575*s[5])/11 - (3675*s[6])/11 - (438577*s[7])/132 + 
       (54068*s[8])/99 + (22255*s[9])/9 + (5411*s[10])/9 + 
       (265211*s[11])/66 + (326317*s[12])/66 + (34772*s[13])/11 - 
       (72175*s[14])/66 + (47447*s[15])/12 + (248975*s[16])/44 + 
       (217231*s[17])/66 + (8972*s[18])/27 + (22462*s[19])/27 + 
       (1520065*s[20])/297 + (811343*s[21])/594 - (1011553*s[22])/594 - 
       (290437*s[23])/44 - (4327289*s[24])/1188 + (15547984*s[25])/2673 - 
       (13086041*s[26])/5346 + 8*s[28] + 10*s[29] - 6*s[30] + 10*s[31] - 
       4*s[32] - 13*s[33] - 2*s[34] + 6*s[35] + (98*s[36])/3 + (7*s[37])/3 - 
       217*s[38] + 886*s[39] - (2864*s[40])/3 + (1483*s[41])/2 - 
       (7673*s[42])/6 - (22612*s[43])/33 + (115261*s[44])/132 - 
       (19355*s[45])/33 + (64464*s[46])/11 - (98555*s[47])/396 - 
       (63839*s[48])/396 + (1467605*s[49])/396 - (309755*s[50])/66 - 
       (296089*s[51])/396 - (223969*s[52])/396 + (68369*s[53])/22 + 
       (15637*s[54])/22 + (840811*s[55])/44 + (1767643*s[56])/396 - 
       (2082145*s[57])/297 + (33762383*s[58])/3564 - (35027297*s[59])/3564 - 
       (115630199*s[60])/2376 + (36605599*s[61])/16038 + 3*s[65] + 6*s[66] - 
       12*s[67] + 18*s[68] - 30*s[69] + 6*s[70] - 3*s[71] - 12*s[72] - 
       4*s[73] + 9*s[74] - 9*s[75] - 6*s[76] + 2*s[77] - 24*s[78] - 
       28*s[79] + (44*s[80])/3 - 104*s[82] - 16*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*M1[v, u, w]*((-11*s[35])/3 - 
       (8*s[36])/3 + 5*s[37] + (3*s[38])/2 - (31*s[39])/12 - (23*s[40])/4 + 
       (59*s[41])/6 + 11*s[42] - (1953*s[43])/44 + (2789*s[44])/88 - 
       (3164*s[45])/33 + (67255*s[46])/132 + (18803*s[47])/396 - 
       (20975*s[48])/198 + (81949*s[49])/396 - (9543*s[50])/22 + 
       (8101*s[51])/396 + (20351*s[52])/792 + (31514*s[53])/99 + 
       (9755*s[54])/132 + (143513*s[55])/66 + (65987*s[56])/132 + 
       (106771*s[57])/132 + (265411*s[58])/594 - (614831*s[59])/1188 - 
       (11572075*s[60])/2376 + (5774999*s[61])/21384 + s[68] - s[69] - 
       s[70] - (5*s[74])/6 + (5*s[75])/6 - (2*s[76])/3 + (4*s[77])/3 + 
       2*s[78] + 2*s[80] - 95*s[82] - 16*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*M1[v, w, u]*((-5*s[2])/6 - (49*s[3])/4 - 
       (46*s[4])/3 - (311*s[5])/11 - (15101*s[6])/264 - (100645*s[7])/198 + 
       (54917*s[8])/2376 + (91921*s[9])/216 + (5512*s[10])/27 + 
       (829673*s[11])/1584 + (800125*s[12])/1584 + (36673*s[13])/132 + 
       (159163*s[14])/792 + (28739*s[15])/36 + (62429*s[16])/66 + 
       (1428355*s[17])/1584 + (6703*s[18])/81 + (10238*s[19])/81 + 
       (8314675*s[20])/7128 + (3043519*s[21])/7128 - (229894*s[22])/891 - 
       (96301*s[23])/528 - (9322039*s[24])/14256 + (79018595*s[25])/128304 - 
       (48589451*s[26])/128304 + (2*s[31])/3 + s[32]/2 + s[33]/2 - 
       (4*s[34])/3 - s[35]/3 - (16*s[36])/9 + (125*s[37])/18 + s[38]/2 + 
       (19*s[39])/8 - (763*s[40])/72 + (109*s[41])/8 + (373*s[42])/72 - 
       (29753*s[43])/792 + (57121*s[44])/1584 - (81139*s[45])/792 + 
       (5886*s[46])/11 + (176257*s[47])/4752 - (418073*s[48])/4752 + 
       (920831*s[49])/4752 - (90683*s[50])/198 - (6595*s[51])/4752 + 
       (81197*s[52])/4752 + (22135*s[53])/66 + (2291*s[54])/44 + 
       (3661111*s[55])/1584 + (2455645*s[56])/4752 + (1468111*s[57])/1782 + 
       (20742905*s[58])/42768 - (23395781*s[59])/42768 - 
       (144368651*s[60])/28512 + (6899621*s[61])/24057 + (4*s[68])/3 - 
       (4*s[69])/3 - s[74]/6 + s[75]/6 - (2*s[76])/3 + (4*s[77])/3 + 
       (2*s[78])/3 - (4*s[79])/3 + (14*s[80])/9 - 88*s[82] - 16*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[v, w, u]*
      ((3*s[2])/2 - (121*s[3])/12 - (107*s[4])/12 - (709*s[5])/33 - 
       (3661*s[6])/88 - (272179*s[7])/792 + (10169*s[8])/792 + 
       (20383*s[9])/72 + (2897*s[10])/18 + (179485*s[11])/528 + 
       (159947*s[12])/528 + (120311*s[13])/792 + (2081*s[14])/11 + 
       (43255*s[15])/72 + (537791*s[16])/792 + (1117439*s[17])/1584 + 
       (11695*s[18])/216 + (21503*s[19])/216 + (2019551*s[20])/2376 + 
       (258073*s[21])/792 - (405401*s[22])/2376 - (40763*s[23])/1584 - 
       (2265517*s[24])/4752 + (5370349*s[25])/14256 - (3740971*s[26])/14256 + 
       2*s[31] + s[32]/6 + (3*s[33])/2 - 4*s[34] - 4*s[35] - (7*s[36])/3 + 
       (16*s[37])/3 + (43*s[38])/6 - (587*s[39])/24 + (379*s[40])/24 - 
       (55*s[41])/8 + (1007*s[42])/24 - (1469*s[43])/88 + (2261*s[44])/176 - 
       (22853*s[45])/264 + (4197*s[46])/11 + (76535*s[47])/1584 - 
       (135919*s[48])/1584 + (151567*s[49])/1584 - (11362*s[50])/33 + 
       (49345*s[51])/1584 + (61051*s[52])/1584 + (52799*s[53])/198 + 
       (1669*s[54])/33 + (3026855*s[55])/1584 + (679117*s[56])/1584 + 
       (1256657*s[57])/1188 + (3367433*s[58])/14256 - (4511621*s[59])/14256 - 
       (36530875*s[60])/9504 + (15013387*s[61])/64152 + (4*s[68])/3 - 
       (4*s[69])/3 - s[74]/2 + s[75]/2 - 2*s[76] + (4*s[77])/3 + 2*s[78] - 
       4*s[79] + (14*s[80])/3 - 88*s[82] - 16*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-2*s[1])/3 - s[2]/3 - (40*s[3])/3 - (71*s[4])/4 - (49*s[5])/3 - 
       (183*s[6])/4 - (33443*s[7])/72 + (755*s[8])/27 + (41585*s[9])/108 + 
       (19669*s[10])/108 + (17761*s[11])/36 + (18101*s[12])/36 + 
       (1667*s[13])/6 + (4069*s[14])/36 + (49507*s[15])/72 + (6821*s[16])/8 + 
       (13543*s[17])/18 + (24433*s[18])/324 + (37841*s[19])/324 + 
       (163841*s[20])/162 + (114067*s[21])/324 - (38551*s[22])/162 - 
       (6757*s[23])/24 - (375385*s[24])/648 + (441310*s[25])/729 - 
       (995263*s[26])/2916 + (2*s[32])/3 + (20*s[37])/3 - (2*s[38])/3 + 
       (63*s[39])/4 - (95*s[40])/4 + (229*s[41])/12 - (211*s[42])/12 - 
       (4355*s[43])/132 + (5153*s[44])/132 - (11843*s[45])/132 + 
       (32677*s[46])/66 + (9329*s[47])/396 - (6784*s[48])/99 + 
       (19384*s[49])/99 - (4728*s[50])/11 - (4693*s[51])/396 + 
       (175*s[52])/99 + (116687*s[53])/396 + (874*s[54])/11 + 
       (260665*s[55])/132 + (4823*s[56])/11 + (38954*s[57])/99 + 
       (323717*s[58])/594 - (168229*s[59])/297 - (10777387*s[60])/2376 + 
       (105251*s[61])/396 + (4*s[68])/3 - (4*s[69])/3 + (4*s[77])/3 - 
       86*s[82] - 16*s[85]) + HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*
      (29*s[2] - (103*s[3])/4 + (3939*s[4])/8 + 477*s[5] + (8111*s[6])/8 + 
       (1288325*s[7])/144 - (151919*s[8])/216 - (834835*s[9])/108 - 
       (220613*s[10])/108 - (1446557*s[11])/144 - (203057*s[12])/18 - 
       (109095*s[13])/16 - (137477*s[14])/144 - (530831*s[15])/48 - 
       (351901*s[16])/24 - (1512223*s[17])/144 - (160745*s[18])/81 - 
       (496421*s[19])/648 - (11429755*s[20])/648 - (8716343*s[21])/1296 + 
       (6212479*s[22])/1296 + (97429*s[23])/8 + (5806733*s[24])/648 - 
       (36900119*s[25])/2916 + (10386829*s[26])/1458 + s[30] + 20*s[31] - 
       (9*s[32])/2 + (27*s[33])/2 - 40*s[34] - 6*s[35] - (127*s[36])/3 + 
       (244*s[37])/3 + (737*s[38])/2 - 1539*s[39] + (5038*s[40])/3 - 
       (5045*s[41])/4 + (27377*s[42])/12 + (3220*s[43])/3 - (7679*s[44])/6 + 
       (10943*s[45])/12 - (36269*s[46])/4 + (28799*s[47])/36 - 
       (12451*s[48])/36 - (179123*s[49])/36 + (79327*s[50])/12 + 
       (14068*s[51])/9 + (12427*s[52])/9 - (17193*s[53])/4 + (2961*s[54])/4 - 
       (316901*s[55])/12 - (288049*s[56])/36 + (949475*s[57])/54 - 
       (5429873*s[58])/324 + (5235761*s[59])/324 + (1884220*s[60])/27 - 
       (21892489*s[61])/5832 - 4*s[64] - (9*s[65])/2 - 4*s[66] + 12*s[67] + 
       8*s[68] + 12*s[69] + 4*s[70] + (9*s[71])/2 + 12*s[72] - 12*s[73] - 
       9*s[74] + 9*s[75] - 8*s[76] - 12*s[77] - 4*s[78] + 120*s[79] - 
       (178*s[80])/3 - 68*s[82] - 16*s[85]) + HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w]*(-27*s[2] + (207*s[3])/4 - (2255*s[4])/8 - 
       (8749*s[5])/22 - (63109*s[6])/88 - (11205875*s[7])/1584 + 
       (1075301*s[8])/2376 + (658325*s[9])/108 + (234547*s[10])/108 + 
       (12075971*s[11])/1584 + (782626*s[12])/99 + (844529*s[13])/176 + 
       (2146835*s[14])/1584 + (482963*s[15])/48 + (3251827*s[16])/264 + 
       (16572409*s[17])/1584 + (170195*s[18])/162 + (950953*s[19])/648 + 
       (102767317*s[20])/7128 + (74585849*s[21])/14256 - 
       (53401801*s[22])/14256 - (480251*s[23])/88 - (59042075*s[24])/7128 + 
       (76150985*s[25])/8019 - (168748301*s[26])/32076 - s[30] - 12*s[31] + 
       (17*s[32])/2 - (15*s[33])/2 + 24*s[34] + 6*s[35] + (107*s[36])/3 - 
       (26*s[37])/3 - (341*s[38])/2 + (1613*s[39])/2 - (5173*s[40])/6 + 
       (2663*s[41])/4 - (14287*s[42])/12 - (41891*s[43])/66 + 
       (98431*s[44])/132 - (86429*s[45])/132 + (252081*s[46])/44 - 
       (28442*s[47])/99 + (5482*s[48])/99 + (632311*s[49])/198 - 
       (613669*s[50])/132 - (304273*s[51])/396 - (216379*s[52])/396 + 
       (432247*s[53])/132 + (15313*s[54])/44 + (1308445*s[55])/66 + 
       (870935*s[56])/198 - (2570819*s[57])/594 + (7478126*s[58])/891 - 
       (15910657*s[59])/1782 - (111024191*s[60])/2376 + 
       (148999729*s[61])/64152 + (9*s[65])/2 + 6*s[66] - 12*s[67] + 
       18*s[68] - 30*s[69] + 4*s[70] - (9*s[71])/2 - 12*s[72] - 4*s[73] + 
       9*s[74] - 9*s[75] - 10*s[76] + 4*s[77] - 24*s[78] - 28*s[79] + 
       (86*s[80])/3 - 68*s[82] - 16*s[85]) + HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u]*(25*s[2] + 72*s[3] + (597*s[4])/2 + 
       (12323*s[5])/44 + (32867*s[6])/44 + (1383197*s[7])/264 - 
       (83945*s[8])/198 - (157673*s[9])/36 - (42415*s[10])/36 - 
       (1569259*s[11])/264 - (442139*s[12])/66 - (1085705*s[13])/264 - 
       (196255*s[14])/264 - (156373*s[15])/24 - (1140625*s[16])/132 - 
       (540913*s[17])/88 - (32032*s[18])/27 - (26329*s[19])/54 - 
       (12404219*s[20])/1188 - (9664573*s[21])/2376 + (6491459*s[22])/2376 + 
       (467317*s[23])/66 + (6538579*s[24])/1188 - (161019307*s[25])/21384 + 
       (93240487*s[26])/21384 + (3*s[32])/2 + 64*s[37] + 233*s[38] - 
       (1665*s[39])/2 + (1803*s[40])/2 - 645*s[41] + 1143*s[42] + 
       (16487*s[43])/22 - (34175*s[44])/44 + (16129*s[45])/22 - 
       (65090*s[46])/11 + (36923*s[47])/132 + (23261*s[48])/132 - 
       (421013*s[49])/132 + (87941*s[50])/22 + (31649*s[51])/44 + 
       (92845*s[52])/132 - (92003*s[53])/33 + (11111*s[54])/22 - 
       (794071*s[55])/44 - (727919*s[56])/132 + (3376295*s[57])/396 - 
       (12271321*s[58])/1188 + (12039139*s[59])/1188 + (36836633*s[60])/792 - 
       (27670933*s[61])/10692 - 8*s[68] - 8*s[69] - 8*s[77] - 44*s[82] - 
       16*s[85]) + HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*
      (15*s[2] + (641*s[4])/2 + (14697*s[5])/88 + (51201*s[6])/88 + 
       (404321*s[7])/88 - (1022051*s[8])/2376 - (828037*s[9])/216 - 
       (213191*s[10])/216 - (2081615*s[11])/396 - (4807043*s[12])/792 - 
       (3035161*s[13])/792 - (176233*s[14])/792 - (195133*s[15])/36 - 
       (1469353*s[16])/198 - (3925057*s[17])/792 - (550853*s[18])/648 - 
       (180035*s[19])/324 - (7635968*s[20])/891 - (5431369*s[21])/1782 + 
       (17295881*s[22])/7128 + (623041*s[23])/99 + (4347595*s[24])/891 - 
       (883956401*s[25])/128304 + (462190013*s[26])/128304 + (5*s[27])/2 + 
       10*s[31] - (3*s[33])/2 - 6*s[34] - 44*s[35] + (21*s[36])/2 + 
       (221*s[37])/4 + 202*s[38] - (6469*s[39])/8 + (7121*s[40])/8 - 
       (5289*s[41])/8 + (9297*s[42])/8 + (51299*s[43])/88 - 
       (124009*s[44])/176 + (37567*s[45])/88 - (198167*s[46])/44 + 
       (67885*s[47])/176 - (17057*s[48])/176 - (450055*s[49])/176 + 
       (33964*s[50])/11 + (447341*s[51])/528 + (128585*s[52])/176 - 
       (262441*s[53])/132 + (15501*s[54])/22 - (2166815*s[55])/176 - 
       (2125163*s[56])/528 + (3980051*s[57])/396 - (41551687*s[58])/4752 + 
       (39391687*s[59])/4752 + (35995247*s[60])/1056 - (9852869*s[61])/5346 - 
       (13*s[62])/2 - 4*s[68] - 4*s[69] - 4*s[70] - 2*s[74] + 2*s[75] - 
       10*s[76] - 4*s[77] + 12*s[78] + 72*s[79] - (53*s[80])/2 - 44*s[82] - 
       16*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - u]*
      ((-13*s[2])/6 - (44*s[3])/3 - (31*s[4])/12 + (41*s[5])/11 + 
       (1211*s[6])/132 - (58342*s[7])/297 + (15010*s[8])/891 + 
       (27079*s[9])/162 + (18857*s[10])/162 + (122971*s[11])/594 + 
       (251347*s[12])/1188 + (22204*s[13])/297 - (88357*s[14])/1188 + 
       (17155*s[15])/54 + (479749*s[16])/1188 + (22591*s[17])/66 + 
       (11059*s[18])/243 + (71903*s[19])/972 + (2017597*s[20])/5346 + 
       (977711*s[21])/10692 - (552527*s[22])/5346 - (101261*s[23])/297 - 
       (1134605*s[24])/5346 + (26066411*s[25])/96228 - 
       (2354672*s[26])/24057 + (2*s[32])/3 - (2*s[36])/9 + (110*s[37])/9 + 
       2*s[38] + (365*s[39])/12 - (1423*s[40])/36 + (175*s[41])/12 - 
       (2339*s[42])/36 - (6269*s[43])/396 + (14629*s[44])/792 - 
       (6101*s[45])/396 + (25637*s[46])/198 - (43349*s[47])/2376 - 
       (35363*s[48])/2376 + (308027*s[49])/2376 - (43471*s[50])/198 - 
       (156907*s[51])/2376 - (17311*s[52])/2376 + (29213*s[53])/297 + 
       (43139*s[54])/198 + (143821*s[55])/792 - (136049*s[56])/792 - 
       (17965*s[57])/44 + (1237195*s[58])/7128 - (1040263*s[59])/7128 - 
       (16281011*s[60])/14256 + (388543*s[61])/8019 + (4*s[68])/3 - 
       (4*s[69])/3 + s[76]/3 + (4*s[77])/3 - s[80]/9 - 44*s[82] - 16*s[85]) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      (-2*s[2] - (163*s[3])/16 - (8843*s[4])/72 - (115633*s[5])/1056 - 
       (190829*s[6])/704 - (11128189*s[7])/4752 + (10616281*s[8])/57024 + 
       (10221821*s[9])/5184 + (1708745*s[10])/2592 + (96803749*s[11])/38016 + 
       (103816049*s[12])/38016 + (31203133*s[13])/19008 + 
       (7349423*s[14])/19008 + (87329*s[15])/27 + (38202551*s[16])/9504 + 
       (4569379*s[17])/1408 + (6224461*s[18])/15552 + (6101717*s[19])/15552 + 
       (404452513*s[20])/85536 + (295061003*s[21])/171072 - 
       (52305373*s[22])/42768 - (93552139*s[23])/38016 - 
       (901051823*s[24])/342144 + (9917375431*s[25])/3079296 - 
       (5539467811*s[26])/3079296 - s[30]/4 - s[31]/2 + s[32]/4 + s[33]/8 - 
       s[34] - (5*s[35])/48 + (173*s[36])/48 - (407*s[37])/72 - 
       (277*s[38])/4 + (40177*s[39])/144 - (45601*s[40])/144 + 
       (68147*s[41])/288 - (28517*s[42])/72 - (425825*s[43])/1584 + 
       (48289*s[44])/176 - (138065*s[45])/396 + (441095*s[46])/176 - 
       (694097*s[47])/9504 - (745511*s[48])/9504 + (11668637*s[49])/9504 - 
       (192935*s[50])/99 - (90631*s[51])/352 - (475093*s[52])/2376 + 
       (6589037*s[53])/4752 + (9787*s[54])/528 + (84569005*s[55])/9504 + 
       (7206401*s[56])/3168 - (13882195*s[57])/9504 + (35256349*s[58])/9504 - 
       (4060979*s[59])/1056 - (1193689589*s[60])/57024 + 
       (288740959*s[61])/256608 - s[68]/2 + s[69]/2 - s[72] + (11*s[74])/12 - 
       (11*s[75])/12 + (4*s[76])/3 - s[77]/6 - s[78] - 28*s[79] + 
       (53*s[80])/6 - (147*s[82])/2 - 12*s[84] - 16*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^4*((-7*s[2])/4 - (249*s[3])/32 - 
       (1511*s[4])/12 - (8507*s[5])/88 - (344847*s[6])/1408 - 
       (27581717*s[7])/12672 + (6522907*s[8])/38016 + (6349835*s[9])/3456 + 
       (1025675*s[10])/1728 + (60403081*s[11])/25344 + 
       (65595347*s[12])/25344 + (818689*s[13])/528 + (1986367*s[14])/6336 + 
       (1118123*s[15])/384 + (7791941*s[16])/2112 + (73013573*s[17])/25344 + 
       (4153573*s[18])/10368 + (3419705*s[19])/10368 + 
       (249130417*s[20])/57024 + (90651613*s[21])/57024 - 
       (130246615*s[22])/114048 - (6763729*s[23])/2816 - 
       (546513989*s[24])/228096 + (6195644437*s[25])/2052864 - 
       (3436408417*s[26])/2052864 - s[30]/4 - s[31]/2 + s[32]/16 - s[33]/4 + 
       s[34]/2 + s[35]/3 + (77*s[36])/16 - (35*s[37])/12 - (857*s[38])/12 + 
       (55181*s[39])/192 - (62345*s[40])/192 + (8239*s[41])/32 - 
       (39433*s[42])/96 - (572591*s[43])/2112 + (98887*s[44])/352 - 
       (350597*s[45])/1056 + (5249099*s[46])/2112 - (481445*s[47])/6336 - 
       (250441*s[48])/3168 + (3902383*s[49])/3168 - (1016503*s[50])/528 - 
       (594997*s[51])/2112 - (1416889*s[52])/6336 + (942883*s[53])/704 - 
       (15893*s[54])/1056 + (2260535*s[55])/264 + (14124265*s[56])/6336 - 
       (33275035*s[57])/19008 + (213702233*s[58])/57024 - 
       (108748429*s[59])/28512 - (782720723*s[60])/38016 + 
       (1134507325*s[61])/1026432 + s[68]/4 - s[69]/4 + (5*s[71])/16 - 
       s[72] - s[73]/2 + (7*s[74])/6 - (7*s[75])/6 + (4*s[76])/3 + 
       (7*s[77])/12 - s[78] - (97*s[79])/4 + (25*s[80])/6 - (233*s[82])/4 - 
       12*s[84] - 16*s[85]) + HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*
      (-26*s[2] + 66*s[3] - (163*s[4])/2 - (5781*s[5])/11 - (11359*s[6])/22 - 
       (642362*s[7])/99 + (43454*s[8])/297 + (154729*s[9])/27 + 
       (135655*s[10])/54 + (2626975*s[11])/396 + (1205665*s[12])/198 + 
       (1511339*s[13])/396 + (791113*s[14])/396 + (188651*s[15])/18 + 
       (4554059*s[16])/396 + (496767*s[17])/44 + (86521*s[18])/162 + 
       (329759*s[19])/162 + (24843767*s[20])/1782 + (18718321*s[21])/3564 - 
       (12173663*s[22])/3564 - (209467*s[23])/396 - (31907453*s[24])/3564 + 
       (256568365*s[25])/32076 - (151570693*s[26])/32076 - 12*s[29] + 
       16*s[30] - 8*s[31] - 2*s[32] + s[33]/2 + 2*s[34] - 4*s[35] + 
       (74*s[36])/3 - 152*s[38] + (551*s[39])/2 - (1909*s[40])/6 + 
       (545*s[41])/2 - (1721*s[42])/6 - (42611*s[43])/66 + (20057*s[44])/66 - 
       (12197*s[45])/11 + (366683*s[46])/66 + (14659*s[47])/99 - 
       (49849*s[48])/198 + (249173*s[49])/99 - (157891*s[50])/33 - 
       (35837*s[51])/198 - (13525*s[52])/99 + (364808*s[53])/99 + 
       (21694*s[54])/33 + (271072*s[55])/11 + (421625*s[56])/99 + 
       (5026481*s[57])/594 + (8664587*s[58])/1782 - (5669068*s[59])/891 - 
       (15639526*s[60])/297 + (72461329*s[61])/32076 - 8*s[62] - 2*s[65] - 
       10*s[66] + 16*s[67] + 8*s[68] + 34*s[69] - 4*s[70] + 2*s[71] + 
       8*s[72] - 16*s[73] - 8*s[74] + 8*s[75] - 10*s[76] - 10*s[77] + 
       24*s[78] + 12*s[79] - 34*s[80] - 128*s[82] + 6*s[83] - 12*s[84] - 
       16*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]^2*
      (-26*s[2] + 36*s[3] + (467*s[4])/2 - (7613*s[5])/22 - (3639*s[6])/11 - 
       (407639*s[7])/198 - (110927*s[8])/594 + (110861*s[9])/54 + 
       (28193*s[10])/27 + (778447*s[11])/396 + (137021*s[12])/99 + 
       (35269*s[13])/44 + (811507*s[14])/396 + (21251*s[15])/6 + 
       (507721*s[16])/132 + (1791545*s[17])/396 + (38108*s[18])/81 + 
       (47339*s[19])/162 + (10278095*s[20])/1782 + (9972001*s[21])/3564 - 
       (4000949*s[22])/3564 + (79901*s[23])/44 - (10224209*s[24])/3564 + 
       (12772633*s[25])/8019 - (14116000*s[26])/8019 - 12*s[29] + 8*s[30] - 
       8*s[31] - 2*s[32] + s[33]/2 + 2*s[34] - 4*s[35] - (86*s[36])/3 + 
       4*s[37] + 6*s[38] - (307*s[39])/2 + (853*s[40])/6 - (261*s[41])/2 + 
       (1625*s[42])/6 - (3913*s[43])/66 - (2704*s[44])/33 - (2429*s[45])/11 + 
       (31909*s[46])/66 + (35863*s[47])/198 - (29407*s[48])/99 - 
       (13429*s[49])/198 - (11195*s[50])/33 + (20587*s[51])/99 + 
       (28181*s[52])/198 + (33631*s[53])/99 - (1582*s[54])/33 + 
       (64909*s[55])/22 + (147401*s[56])/198 + (1980295*s[57])/594 - 
       (156988*s[58])/891 + (133841*s[59])/1782 - (7287383*s[60])/1188 + 
       (11051915*s[61])/32076 - 2*s[65] - 10*s[66] + 16*s[67] + 8*s[68] + 
       26*s[69] - 4*s[70] + 2*s[71] + 8*s[72] - 16*s[73] - 8*s[74] + 
       8*s[75] + 8*s[76] - 10*s[77] + 24*s[78] - 8*s[79] - 104*s[82] + 
       6*s[83] - 12*s[84] - 16*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1}, 1 - u]*((-91*s[2])/36 - (985*s[3])/72 + (47*s[4])/72 - 
       (6373*s[5])/198 - (23635*s[6])/352 - (3033167*s[7])/7128 - 
       (89081*s[8])/9504 + (101633*s[9])/288 + (82865*s[10])/432 + 
       (8469007*s[11])/19008 + (2523827*s[12])/6336 + (3890615*s[13])/14256 + 
       (665045*s[14])/2376 + (463151*s[15])/648 + (23274247*s[16])/28512 + 
       (48642061*s[17])/57024 + (100879*s[18])/7776 + (1323083*s[19])/7776 + 
       (43302115*s[20])/42768 + (3928559*s[21])/10692 - 
       (6078037*s[22])/28512 + (16899629*s[23])/57024 - 
       (12931921*s[24])/19008 + (786378653*s[25])/1539648 - 
       (488797361*s[26])/1539648 + s[30]/18 + (7*s[32])/9 + s[33]/36 - 
       s[35]/18 - s[36]/3 + (301*s[37])/54 - (397*s[38])/36 - (157*s[39])/8 + 
       (929*s[40])/72 - (751*s[41])/72 + (8429*s[42])/144 - 
       (37511*s[43])/792 + (37727*s[44])/1056 - (147065*s[45])/1188 + 
       (1238503*s[46])/2376 + (666475*s[47])/9504 - (1501493*s[48])/9504 + 
       (2064371*s[49])/9504 - (87797*s[50])/198 + (247759*s[51])/9504 + 
       (325979*s[52])/9504 + (4517431*s[53])/14256 + (129235*s[54])/2376 + 
       (22924651*s[55])/9504 + (14708899*s[56])/28512 + 
       (65928823*s[57])/42768 + (77664797*s[58])/256608 - 
       (100180745*s[59])/256608 - (316984549*s[60])/57024 + 
       (622702739*s[61])/2309472 + (4*s[68])/3 - (4*s[69])/3 - s[70]/9 + 
       s[72]/9 - s[73]/9 - s[74]/12 + s[75]/12 + s[76]/18 + (3*s[77])/2 + 
       s[78]/9 + (16*s[79])/9 - (29*s[80])/54 - (1031*s[82])/12 + 
       (2*s[84])/3 - 16*s[85]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - v]*((-13*s[2])/4 - (173*s[3])/16 - (899*s[4])/288 + 
       (21235*s[5])/1056 + (14543*s[6])/528 - (240835*s[7])/19008 + 
       (196495*s[8])/14256 - (32717*s[9])/2592 + (151589*s[10])/2592 + 
       (666011*s[11])/19008 + (248641*s[12])/4752 + (162577*s[13])/19008 - 
       (2170441*s[14])/19008 + (51515*s[15])/1728 + (815585*s[16])/9504 + 
       (321293*s[17])/6336 - (340573*s[18])/7776 + (794341*s[19])/7776 - 
       (1780277*s[20])/85536 - (13356769*s[21])/171072 - 
       (497077*s[22])/171072 + (7165*s[23])/297 - (2312177*s[24])/21384 + 
       (135266273*s[25])/1539648 + (44625367*s[26])/1539648 + (3*s[29])/4 + 
       s[30]/2 + s[32] + (39*s[33])/16 - s[34]/4 + s[35]/2 + (13*s[36])/24 + 
       (395*s[37])/48 + (583*s[38])/72 - (699*s[39])/32 + (2285*s[40])/96 - 
       (8491*s[41])/288 + (11573*s[42])/288 + (24269*s[43])/3168 + 
       (31765*s[44])/6336 - (3845*s[45])/352 + (2681*s[46])/396 + 
       (688397*s[47])/19008 - (1271473*s[48])/19008 + (1170877*s[49])/19008 - 
       (6235*s[50])/88 + (78275*s[51])/2112 + (1066129*s[52])/19008 + 
       (89641*s[53])/2376 + (58601*s[54])/264 + (128035*s[55])/704 - 
       (249349*s[56])/2112 + (773449*s[57])/1584 - (10034983*s[58])/57024 + 
       (6802531*s[59])/57024 - (63348865*s[60])/114048 + 
       (3928739*s[61])/256608 + s[65]/4 + s[66] - (3*s[67])/2 + s[68]/4 - 
       (13*s[69])/4 - (3*s[70])/2 - s[71]/4 - s[72]/2 + (3*s[73])/2 + 
       s[74]/8 - s[75]/8 - (9*s[76])/4 + (9*s[77])/4 + (17*s[79])/2 - 
       s[80]/8 - 103*s[82] - (3*s[83])/4 + (9*s[84])/2 - 16*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*
      (-s[2]/24 - (163*s[3])/16 - (50591*s[4])/288 - (594203*s[5])/6336 - 
       (578663*s[6])/2112 - (23810951*s[7])/9504 + (4373635*s[8])/19008 + 
       (3601799*s[9])/1728 + (1108771*s[10])/1728 + (17494459*s[11])/6336 + 
       (6443689*s[12])/2112 + (17415511*s[13])/9504 + (436273*s[14])/2112 + 
       (1919447*s[15])/576 + (80468945*s[16])/19008 + (30480083*s[17])/9504 + 
       (31655*s[18])/72 + (686779*s[19])/1728 + (30872887*s[20])/6336 + 
       (97626901*s[21])/57024 - (37322579*s[22])/28512 - 
       (14837599*s[23])/4752 - (155657071*s[24])/57024 + 
       (3674009927*s[25])/1026432 - (1952699735*s[26])/1026432 + 
       (7*s[29])/12 - (7*s[30])/8 + (5*s[31])/12 - (5*s[32])/48 - 
       (5*s[33])/48 - (19*s[34])/24 - (7*s[35])/24 + (467*s[36])/72 - 
       (487*s[37])/96 - (12877*s[38])/144 + (52561*s[39])/144 - 
       (58841*s[40])/144 + (92801*s[41])/288 - (152125*s[42])/288 - 
       (516497*s[43])/1584 + (4388407*s[44])/12672 - (819263*s[45])/2112 + 
       (19044715*s[46])/6336 - (474781*s[47])/4224 - (758095*s[48])/12672 + 
       (6344599*s[49])/4224 - (3707963*s[50])/1584 - (13782733*s[51])/38016 - 
       (3563341*s[52])/12672 + (31034477*s[53])/19008 - (34115*s[54])/1584 + 
       (393226769*s[55])/38016 + (102035189*s[56])/38016 - 
       (134538781*s[57])/57024 + (1570325407*s[58])/342144 - 
       (1602936763*s[59])/342144 - (1880137681*s[60])/76032 + 
       (510668969*s[61])/384912 + s[65]/6 + (2*s[66])/3 - (11*s[67])/12 - 
       s[68]/24 - (43*s[69])/24 - s[70]/6 + s[71]/48 - (23*s[72])/12 + 
       (13*s[73])/12 + (7*s[74])/4 - (7*s[75])/4 + (7*s[76])/6 + 
       (4*s[77])/3 - (23*s[78])/12 - (131*s[79])/4 + (425*s[80])/48 - 
       (637*s[82])/12 - s[83]/2 - 14*s[84] - (31*s[85])/2) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*
      ((7*s[2])/8 - (601*s[3])/48 - (15347*s[4])/288 - (3623*s[5])/1584 - 
       (26603*s[6])/352 - (907589*s[7])/2112 + (1705619*s[8])/28512 + 
       (106811*s[9])/324 + (13487*s[10])/162 + (8860919*s[11])/19008 + 
       (2575909*s[12])/4752 + (5774489*s[13])/19008 + (946007*s[14])/19008 + 
       (312281*s[15])/576 + (3412001*s[16])/4752 + (9484709*s[17])/19008 + 
       (586021*s[18])/3888 - (194699*s[19])/7776 + (72393967*s[20])/85536 + 
       (56224481*s[21])/171072 - (36441937*s[22])/171072 - 
       (4186915*s[23])/4752 - (3531727*s[24])/10692 + 
       (457232755*s[25])/769824 - (276911509*s[26])/769824 + (3*s[29])/2 - 
       s[30] + (5*s[31])/2 - (11*s[32])/6 + (13*s[33])/8 - (5*s[34])/4 - 
       (13*s[35])/4 + (25*s[36])/12 + (61*s[37])/24 - (199*s[38])/36 + 
       (7813*s[39])/144 - (8941*s[40])/144 + (10327*s[41])/144 - 
       (4309*s[42])/48 - (1783*s[43])/48 + (95*s[44])/2 - (178*s[45])/3 + 
       (76843*s[46])/144 - (2899*s[47])/108 + (773*s[48])/432 + 
       (71989*s[49])/432 - (3171*s[50])/8 - (2597*s[51])/36 - 
       (24245*s[52])/432 + (59803*s[53])/216 - (1013*s[54])/9 + 
       (769643*s[55])/432 + (9833*s[56])/16 - (142061*s[57])/216 + 
       (1200517*s[58])/1296 - (69916*s[59])/81 - (10191319*s[60])/2592 + 
       (2245517*s[61])/7776 + s[65]/4 + (7*s[66])/4 - (5*s[67])/2 - 
       (5*s[68])/12 - (61*s[69])/12 + s[70]/2 - s[71]/4 - (3*s[72])/2 + 
       (5*s[73])/2 + (7*s[74])/8 - (7*s[75])/8 + (25*s[77])/12 - 2*s[78] - 
       6*s[79] + (29*s[80])/12 - (251*s[82])/6 - (3*s[83])/4 + (3*s[84])/2 - 
       14*s[85]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((2575*s[2])/144 - (11407*s[3])/288 - (187921*s[4])/576 - 
       (28643*s[5])/3168 - (1811653*s[6])/6336 - (323897339*s[7])/114048 + 
       (70254685*s[8])/171072 + (17050597*s[9])/7776 + (5016539*s[10])/7776 + 
       (365895961*s[11])/114048 + (107006879*s[12])/28512 + 
       (253406495*s[13])/114048 - (39754151*s[14])/114048 + 
       (37736533*s[15])/10368 + (138026183*s[16])/28512 + 
       (126897509*s[17])/38016 + (9427505*s[18])/23328 + 
       (27752267*s[19])/46656 + (2550555089*s[20])/513216 + 
       (1524734551*s[21])/1026432 - (1476911939*s[22])/1026432 - 
       (133358041*s[23])/28512 - (394287139*s[24])/128304 + 
       (20613415913*s[25])/4618944 - (9616427063*s[26])/4618944 - s[27]/4 + 
       (29*s[29])/6 - (79*s[30])/24 + (127*s[31])/9 + (43*s[32])/36 + 
       (845*s[33])/72 - (1069*s[34])/72 + (137*s[35])/72 + (1397*s[36])/108 - 
       (631*s[37])/432 - (779*s[38])/9 + (138115*s[39])/288 - 
       (454273*s[40])/864 + (120809*s[41])/288 - (642467*s[42])/864 - 
       (3172679*s[43])/9504 + (8099689*s[44])/19008 - (3238229*s[45])/9504 + 
       (7711261*s[46])/2376 - (12436223*s[47])/57024 + 
       (5591347*s[48])/57024 + (96641525*s[49])/57024 - 
       (12078499*s[50])/4752 - (28512109*s[51])/57024 - 
       (20863723*s[52])/57024 + (50781977*s[53])/28512 - (19595*s[54])/594 + 
       (204566455*s[55])/19008 + (54094253*s[56])/19008 - 
       (60607945*s[57])/14256 + (101621999*s[58])/19008 - 
       (310979231*s[59])/57024 - (8712293825*s[60])/342144 + 
       (2164721989*s[61])/1539648 + s[63] + (43*s[65])/36 + (43*s[66])/9 - 
       (65*s[67])/9 - (11*s[68])/9 - (128*s[69])/9 + (16*s[70])/9 - 
       (89*s[71])/72 - (203*s[72])/36 + (115*s[73])/12 + (263*s[74])/48 - 
       (263*s[75])/48 - (281*s[76])/36 + (347*s[77])/72 - (425*s[78])/36 - 
       (761*s[79])/18 + (5213*s[80])/216 - 96*s[82] - (43*s[83])/12 - 
       10*s[84] - (41*s[85])/3) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3*((-151*s[2])/144 - (2269*s[3])/288 - 
       (45047*s[4])/576 - (33821*s[5])/528 - (522211*s[6])/3168 - 
       (162798089*s[7])/114048 + (9313607*s[8])/85536 + 
       (18725537*s[9])/15552 + (785711*s[10])/1944 + (1387913*s[11])/891 + 
       (191662853*s[12])/114048 + (114194423*s[13])/114048 + 
       (27527143*s[14])/114048 + (19889575*s[15])/10368 + 
       (138973123*s[16])/57024 + (36729827*s[17])/19008 + 
       (6207527*s[18])/23328 + (10254923*s[19])/46656 + 
       (372110417*s[20])/128304 + (1084269019*s[21])/1026432 - 
       (767005805*s[22])/1026432 - (169831939*s[23])/114048 - 
       (1629611069*s[24])/1026432 + (18098151805*s[25])/9237888 - 
       (10121179501*s[26])/9237888 - s[30]/18 + s[31]/12 + (17*s[32])/144 + 
       s[33]/12 - (17*s[34])/72 - s[35]/72 + (695*s[36])/432 - (17*s[37])/9 - 
       (1859*s[38])/48 + (94307*s[39])/576 - (323813*s[40])/1728 + 
       (85417*s[41])/576 - (406849*s[42])/1728 - (2982319*s[43])/19008 + 
       (3148183*s[44])/19008 - (321625*s[45])/1584 + (28345969*s[46])/19008 - 
       (2379893*s[47])/57024 - (1716247*s[48])/28512 + 
       (40653731*s[49])/57024 - (2739437*s[50])/2376 - (295937*s[51])/1782 - 
       (457603*s[52])/3564 + (45573857*s[53])/57024 - (57449*s[54])/4752 + 
       (12180011*s[55])/2376 + (77943485*s[56])/57024 - 
       (175737911*s[57])/171072 + (288564427*s[58])/128304 - 
       (289765945*s[59])/128304 - (4226635913*s[60])/342144 + 
       (3164751481*s[61])/4618944 + s[68]/36 - s[69]/36 - (2*s[70])/9 + 
       s[71]/16 - (7*s[72])/12 - (5*s[73])/12 + (85*s[74])/144 - 
       (85*s[75])/144 + s[76]/9 + (31*s[77])/72 - s[78]/36 - (545*s[79])/36 + 
       (43*s[80])/9 - (1441*s[82])/24 - (13*s[84])/2 - (41*s[85])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*
      ((-15*s[2])/16 - (395*s[3])/32 - (20011*s[4])/192 - 
       (140321*s[5])/2112 - (63947*s[6])/352 - (21101219*s[7])/12672 + 
       (42259*s[8])/297 + (2396801*s[9])/1728 + (794383*s[10])/1728 + 
       (23000815*s[11])/12672 + (12479689*s[12])/6336 + 
       (14817947*s[13])/12672 + (2694871*s[14])/12672 + (290455*s[15])/128 + 
       (18082225*s[16])/6336 + (9515761*s[17])/4224 + (185981*s[18])/648 + 
       (367553*s[19])/1296 + (94832647*s[20])/28512 + 
       (133878865*s[21])/114048 - (98732279*s[22])/114048 - 
       (1476319*s[23])/792 - (105825373*s[24])/57024 + 
       (2384158825*s[25])/1026432 - (1292758381*s[26])/1026432 + s[29]/2 - 
       s[30]/2 + s[32]/2 - (7*s[33])/32 + s[34]/4 + (5*s[35])/8 + 
       (13*s[36])/3 - (949*s[37])/288 - (745*s[38])/16 + (6461*s[39])/32 - 
       (21839*s[40])/96 + (8635*s[41])/48 - (1169*s[42])/4 - 
       (197693*s[43])/1056 + (281025*s[44])/1408 - (518075*s[45])/2112 + 
       (3833263*s[46])/2112 - (705181*s[47])/12672 - (598393*s[48])/12672 + 
       (11097175*s[49])/12672 - (94013*s[50])/66 - (2525561*s[51])/12672 - 
       (1909991*s[52])/12672 + (6350995*s[53])/6336 + (1525*s[54])/264 + 
       (9010605*s[55])/1408 + (2294245*s[56])/1408 - (2263313*s[57])/2112 + 
       (101871401*s[58])/38016 - (104464781*s[59])/38016 - 
       (1145333455*s[60])/76032 + (17563919*s[61])/21384 + s[65]/8 + 
       s[66]/2 - (3*s[67])/4 + s[68]/8 - (13*s[69])/8 - s[71]/16 - 
       (5*s[72])/4 + (5*s[73])/4 + (19*s[74])/16 - (19*s[75])/16 + 
       (3*s[76])/4 + (5*s[77])/4 - (9*s[78])/4 - (67*s[79])/4 + 
       (209*s[80])/48 - (265*s[82])/4 - (3*s[83])/8 - (27*s[84])/4 - 
       (27*s[85])/2) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 1}, 1 - v]*((-25*s[2])/36 - (245*s[3])/24 - (130*s[4])/9 - 
       (747*s[5])/88 - (85031*s[6])/3168 - (3120985*s[7])/9504 + 
       (783599*s[8])/28512 + (701989*s[9])/2592 + (173989*s[10])/1296 + 
       (6533825*s[11])/19008 + (6680863*s[12])/19008 + (29873*s[13])/176 + 
       (16337*s[14])/297 + (429373*s[15])/864 + (53989*s[16])/88 + 
       (10181581*s[17])/19008 + (524393*s[18])/7776 + (564901*s[19])/7776 + 
       (31076555*s[20])/42768 + (685127*s[21])/2673 - 
       (14321969*s[22])/85536 - (1992707*s[23])/6336 - 
       (66364897*s[24])/171072 + (646877057*s[25])/1539648 - 
       (375389213*s[26])/1539648 + (5*s[31])/9 + (5*s[32])/12 + 
       (5*s[33])/12 - (10*s[34])/9 - (10*s[35])/9 - (35*s[36])/54 + 
       (167*s[37])/54 + (35*s[38])/6 + (141*s[39])/16 - (6767*s[40])/432 + 
       (625*s[41])/48 - (3203*s[42])/216 - (86521*s[43])/4752 + 
       (235241*s[44])/9504 - (294923*s[45])/4752 + (23251*s[46])/66 + 
       (510971*s[47])/28512 - (1118833*s[48])/28512 + (3651145*s[49])/28512 - 
       (93025*s[50])/297 - (23489*s[51])/28512 + (260473*s[52])/28512 + 
       (59515*s[53])/264 + (2500*s[54])/33 + (13799843*s[55])/9504 + 
       (8922503*s[56])/28512 + (10177127*s[57])/42768 + 
       (99106327*s[58])/256608 - (108308557*s[59])/256608 - 
       (536046319*s[60])/171072 + (56818535*s[61])/288684 + (10*s[68])/9 - 
       (10*s[69])/9 - (5*s[74])/36 + (5*s[75])/36 - (5*s[76])/9 + 
       (10*s[77])/9 + (5*s[78])/9 - (10*s[79])/9 + (35*s[80])/27 - 
       (859*s[82])/12 - (40*s[85])/3) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 0, 1, 1}, 1 - w]*(-68*s[2] + (827*s[3])/4 - 
       (1873*s[4])/8 - (12234*s[5])/11 - (155905*s[6])/88 - 
       (22891285*s[7])/1584 + (506281*s[8])/792 + (118462*s[9])/9 + 
       (36425*s[10])/9 + (8174531*s[11])/528 + (4228435*s[12])/264 + 
       (15148169*s[13])/1584 + (2482637*s[14])/528 + (2788927*s[15])/144 + 
       (9526841*s[16])/396 + (31362547*s[17])/1584 + (375619*s[18])/108 + 
       (159277*s[19])/216 + (74607175*s[20])/2376 + (6961367*s[21])/528 - 
       (37466327*s[22])/4752 - (10320515*s[23])/792 - (35188609*s[24])/2376 + 
       (127659859*s[25])/7128 - (83786047*s[26])/7128 - 3*s[28] - 22*s[29] + 
       11*s[30] - 60*s[31] + (7*s[32])/2 - (101*s[33])/4 + 89*s[34] + 
       35*s[35] + s[36] - (220*s[37])/3 - 343*s[38] + (6833*s[39])/4 - 
       (7925*s[40])/4 + (6447*s[41])/4 - (10847*s[42])/4 - (54583*s[43])/44 + 
       (63685*s[44])/44 - (173515*s[45])/132 + (379528*s[46])/33 - 
       (66127*s[47])/66 + (67759*s[48])/132 + (350797*s[49])/66 - 
       (91669*s[50])/11 - (271253*s[51])/132 - (54493*s[52])/33 + 
       (2267279*s[53])/396 - (53153*s[54])/33 + (4693651*s[55])/132 + 
       (1105717*s[56])/99 - (5968132*s[57])/297 + (74534375*s[58])/3564 - 
       (71446709*s[59])/3564 - (69341839*s[60])/792 + 
       (161526263*s[61])/32076 + 12*s[63] - 6*s[65] - 12*s[66] + 16*s[67] - 
       22*s[68] + 14*s[69] - 47*s[70] + 5*s[71] - 10*s[72] + 10*s[73] + 
       (21*s[74])/2 - (19*s[75])/2 + 19*s[76] + 30*s[77] - 34*s[78] - 
       224*s[79] + (13*s[80])/3 + 294*s[82] + 9*s[83] - 96*s[84] - 
       12*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 1}, 1 - w]*
      ((-93*s[2])/4 + (615*s[3])/8 + (7355*s[4])/16 - (1653*s[5])/11 - 
       (20983*s[6])/176 + (6778357*s[7])/3168 - (2454475*s[8])/4752 - 
       (162833*s[9])/108 - (113129*s[10])/216 - (8339335*s[11])/3168 - 
       (1295977*s[12])/396 - (2023711*s[13])/1056 + (5626241*s[14])/3168 - 
       (320465*s[15])/96 - (271685*s[16])/66 - (8379977*s[17])/3168 + 
       (28310*s[18])/81 - (1774631*s[19])/1296 - (40878683*s[20])/14256 - 
       (3366097*s[21])/28512 + (31594205*s[22])/28512 + (1231529*s[23])/264 + 
       (5082059*s[24])/1782 - (561559475*s[25])/128304 + 
       (169506911*s[26])/128304 - s[28] - 38*s[29] + 9*s[30] - 37*s[31] - 
       7*s[32] + (93*s[33])/8 - 27*s[34] + (139*s[35])/2 - (1073*s[36])/6 + 
       (149*s[37])/12 + (447*s[38])/2 - (3499*s[39])/4 + (10075*s[40])/12 - 
       615*s[41] + (13979*s[42])/12 + (86399*s[43])/132 - 
       (442067*s[44])/528 + (162631*s[45])/264 - (1461023*s[46])/264 + 
       (235717*s[47])/1584 - (78839*s[48])/1584 - (6664663*s[49])/1584 + 
       (164909*s[50])/33 + (801089*s[51])/1584 + (455375*s[52])/1584 - 
       (708067*s[53])/198 - (118661*s[54])/66 - (11207203*s[55])/528 - 
       (1526755*s[56])/528 + (1531375*s[57])/792 - (11687105*s[58])/1584 + 
       (4953133*s[59])/528 + (468808075*s[60])/9504 - 
       (68410295*s[61])/42768 - 2*s[64] - 9*s[65] - 20*s[66] + 30*s[67] - 
       10*s[68] + 62*s[69] - 47*s[70] + 8*s[71] + 21*s[72] - 37*s[73] - 
       (63*s[74])/4 + (43*s[75])/4 + 2*s[76] + (29*s[77])/2 + 61*s[78] - 
       76*s[79] + (317*s[80])/6 + s[81]/3 + 294*s[82] + 9*s[83] - 96*s[84] - 
       12*s[85]) + HPL[{0, 1}, 1 - w]*Nt[u, v, w]*
      ((-3*s[2])/2 - (41*s[3])/4 - (1989*s[4])/8 - (40751*s[5])/264 - 
       (109895*s[6])/264 - (17912887*s[7])/4752 + (2372107*s[8])/7128 + 
       (256075*s[9])/81 + (621223*s[10])/648 + (9857069*s[11])/2376 + 
       (21720839*s[12])/4752 + (4346713*s[13])/1584 + (1829251*s[14])/4752 + 
       (717001*s[15])/144 + (2513297*s[16])/396 + (5734061*s[17])/1188 + 
       (166256*s[18])/243 + (536095*s[19])/972 + (19785583*s[20])/2673 + 
       (112813171*s[21])/42768 - (84586529*s[22])/42768 - 
       (7350725*s[23])/1584 - (173672321*s[24])/42768 + 
       (128421871*s[25])/24057 - (554058749*s[26])/192456 + s[29]/3 - s[30] - 
       (4*s[31])/3 + s[32]/3 - (17*s[33])/12 + (7*s[34])/3 + (7*s[35])/3 + 
       (88*s[36])/9 - (31*s[37])/2 - (757*s[38])/6 + (6541*s[39])/12 - 
       (21991*s[40])/36 + (957*s[41])/2 - (14407*s[42])/18 - 
       (184373*s[43])/396 + (401689*s[44])/792 - (23481*s[45])/44 + 
       (422525*s[46])/99 - (232795*s[47])/1188 - (19757*s[48])/594 + 
       (2533207*s[49])/1188 - (324446*s[50])/99 - (649217*s[51])/1188 - 
       (1031047*s[52])/2376 + (678772*s[53])/297 - (44989*s[54])/396 + 
       (475963*s[55])/33 + (4576201*s[56])/1188 - (3601000*s[57])/891 + 
       (35840311*s[58])/5346 - (72514067*s[59])/10692 - 
       (30876677*s[60])/891 + (359170489*s[61])/192456 + s[65]/6 + 
       (2*s[66])/3 - (2*s[67])/3 - (2*s[68])/3 - (2*s[69])/3 + s[70]/3 - 
       s[71]/6 - (8*s[72])/3 + (4*s[73])/3 + 3*s[74] - 3*s[75] + 
       (11*s[76])/3 + s[77]/3 - (14*s[78])/3 - 54*s[79] + (43*s[80])/3 - 
       68*s[82] - s[83]/2 - 23*s[84] - 12*s[85]) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      ((-3*s[2])/2 - (173*s[3])/32 - (25139*s[4])/192 - (22511*s[5])/264 - 
       (480991*s[6])/2112 - (9655403*s[7])/4752 + (4767857*s[8])/28512 + 
       (8886401*s[9])/5184 + (2730115*s[10])/5184 + (2660357*s[11])/1188 + 
       (23423369*s[12])/9504 + (259561*s[13])/176 + (4629485*s[14])/19008 + 
       (762643*s[15])/288 + (21609083*s[16])/6336 + (48979321*s[17])/19008 + 
       (6135799*s[18])/15552 + (4266899*s[19])/15552 + 
       (690397619*s[20])/171072 + (125039095*s[21])/85536 - 
       (91489259*s[22])/85536 - (425441*s[23])/176 - (374247235*s[24])/
        171072 + (2193930103*s[25])/769824 - (1204474261*s[26])/769824 - 
       s[30]/4 - s[31]/2 + s[32]/8 - (5*s[33])/32 + (17*s[34])/24 + s[35]/2 + 
       (103*s[36])/24 - (283*s[37])/72 - (1639*s[38])/24 + (27361*s[39])/96 - 
       (30829*s[40])/96 + (6259*s[41])/24 - (9955*s[42])/24 - 
       (266219*s[43])/1056 + (568037*s[44])/2112 - (102747*s[45])/352 + 
       (1214641*s[46])/528 - (65519*s[47])/704 - (94103*s[48])/2112 + 
       (1202011*s[49])/1056 - (232729*s[50])/132 - (115207*s[51])/396 - 
       (166451*s[52])/704 + (3832925*s[53])/3168 - (24525*s[54])/352 + 
       (16199897*s[55])/2112 + (3295859*s[56])/1584 - (10359251*s[57])/4752 + 
       (51610651*s[58])/14256 - (51526627*s[59])/14256 - 
       (118680127*s[60])/6336 + (522945385*s[61])/513216 + s[68]/4 - 
       s[69]/4 + s[71]/4 - s[72] + (7*s[74])/6 - (7*s[75])/6 + (5*s[76])/3 + 
       s[77]/2 - s[78] - 26*s[79] + (127*s[80])/24 - (137*s[82])/4 - 
       (25*s[84])/2 - 12*s[85]) + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]^2*
      ((-11*s[2])/4 - (57*s[3])/16 - (6235*s[4])/96 - (51461*s[5])/528 - 
       (34635*s[6])/176 - (885163*s[7])/528 + (1008925*s[8])/9504 + 
       (624649*s[9])/432 + (422497*s[10])/864 + (11396779*s[11])/6336 + 
       (12034931*s[12])/6336 + (3494243*s[13])/3168 + (1295639*s[14])/3168 + 
       (329837*s[15])/144 + (4523719*s[16])/1584 + (14769331*s[17])/6336 + 
       (238921*s[18])/648 + (121415*s[19])/648 + (50732113*s[20])/14256 + 
       (2452823*s[21])/1782 - (1574449*s[22])/1782 - (10589237*s[23])/6336 - 
       (103136771*s[24])/57024 + (1118653939*s[25])/513216 - 
       (676435285*s[26])/513216 - s[29] + s[30]/2 - s[31] - s[32]/8 - 
       s[33]/16 + s[34]/2 - s[35]/4 - s[36]/12 - (151*s[37])/48 - 
       (889*s[38])/24 + (669*s[39])/4 - (1553*s[40])/8 + (3661*s[41])/24 - 
       (23653*s[42])/96 - (20291*s[43])/132 + (335369*s[44])/2112 - 
       (235943*s[45])/1056 + (1673449*s[46])/1056 - (348163*s[47])/6336 - 
       (222499*s[48])/6336 + (4241551*s[49])/6336 - (78943*s[50])/66 - 
       (1112009*s[51])/6336 - (931505*s[52])/6336 + (2680393*s[53])/3168 - 
       (22631*s[54])/264 + (3850885*s[55])/704 + (1089433*s[56])/704 - 
       (989827*s[57])/792 + (15641669*s[58])/6336 - (5151995*s[59])/2112 - 
       (486987931*s[60])/38016 + (65365747*s[61])/85536 - s[65]/4 - s[66] + 
       (3*s[67])/2 - s[68]/2 + 3*s[69] + (3*s[71])/8 + s[72]/2 - 
       (5*s[73])/2 + s[74]/8 - s[75]/8 + s[76]/2 - (7*s[77])/4 + 
       (5*s[78])/2 - (39*s[79])/2 + (119*s[80])/24 - 56*s[82] + (3*s[83])/4 - 
       (21*s[84])/2 - 12*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*((9*s[2])/2 - (71*s[3])/6 - 
       (3871*s[4])/24 - (293*s[5])/6 - (1919*s[6])/12 - (852047*s[7])/432 + 
       (31325*s[8])/162 + (1053965*s[9])/648 + (154691*s[10])/324 + 
       (488065*s[11])/216 + (1122865*s[12])/432 + (232949*s[13])/144 - 
       (44437*s[14])/432 + (362905*s[15])/144 + (237425*s[16])/72 + 
       (245641*s[17])/108 + (409627*s[18])/1944 + (117313*s[19])/243 + 
       (880943*s[20])/243 + (4275035*s[21])/3888 - (4063267*s[22])/3888 - 
       (360241*s[23])/144 - (8789695*s[24])/3888 + (108544133*s[25])/34992 - 
       (50906711*s[26])/34992 + (10*s[29])/3 - 2*s[30] - (4*s[31])/3 + 
       (3*s[32])/2 - (13*s[33])/6 + (16*s[34])/3 + (22*s[35])/3 + 
       (157*s[36])/9 + (5*s[37])/2 - 121*s[38] + (2743*s[39])/8 - 
       (26951*s[40])/72 + (2137*s[41])/8 - (30091*s[42])/72 - 
       (287665*s[43])/792 + (595577*s[44])/1584 - (154669*s[45])/264 + 
       (359627*s[46])/99 + (2027*s[47])/4752 - (1065655*s[48])/4752 + 
       (8742043*s[49])/4752 - (1137173*s[50])/396 - (1246343*s[51])/4752 - 
       (1185779*s[52])/4752 + (599275*s[53])/297 + (46525*s[54])/198 + 
       (21180857*s[55])/1584 + (14955073*s[56])/4752 - (472937*s[57])/1782 + 
       (211551161*s[58])/42768 - (222236285*s[59])/42768 - 
       (905787403*s[60])/28512 + (78833083*s[61])/48114 + (2*s[65])/3 + 
       (8*s[66])/3 - (14*s[67])/3 - (7*s[68])/3 - 7*s[69] - (8*s[70])/3 + 
       s[71]/3 - (8*s[72])/3 + (16*s[73])/3 + 3*s[74] - 3*s[75] + 
       (8*s[76])/3 + (11*s[77])/3 - (14*s[78])/3 - (35*s[80])/3 - 114*s[82] - 
       2*s[83] - 8*s[84] - 12*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w]*((23*s[2])/4 - (873*s[3])/8 + (7875*s[4])/16 + 
       (76619*s[5])/176 + (8898*s[6])/11 + (26704895*s[7])/3168 - 
       (911237*s[8])/1188 - (3178369*s[9])/432 - (706463*s[10])/432 - 
       (30001121*s[11])/3168 - (17179235*s[12])/1584 - (2324081*s[13])/352 - 
       (992183*s[14])/3168 - (321255*s[15])/32 - (6949843*s[16])/528 - 
       (27534253*s[17])/3168 - (2388983*s[18])/1296 - (714475*s[19])/1296 - 
       (227903413*s[20])/14256 - (167295383*s[21])/28512 + 
       (130192057*s[22])/28512 + (2245513*s[23])/176 + 
       (114618725*s[24])/14256 - (3146840975*s[25])/256608 + 
       (1686828359*s[26])/256608 + 2*s[29] + 25*s[31] + (17*s[32])/4 + 
       (37*s[33])/2 - 40*s[34] - (65*s[35])/2 - (277*s[36])/12 + 
       (425*s[37])/8 + 503*s[38] - (30187*s[39])/16 + (99349*s[40])/48 - 
       (24827*s[41])/16 + (128645*s[42])/48 + (823487*s[43])/528 - 
       (1714069*s[44])/1056 + (293219*s[45])/176 - (439832*s[46])/33 + 
       (2423123*s[47])/3168 - (203215*s[48])/3168 - (21903593*s[49])/3168 + 
       (654625*s[50])/66 + (5980201*s[51])/3168 + (5124079*s[52])/3168 - 
       (2700493*s[53])/396 + (42305*s[54])/66 - (45336839*s[55])/1056 - 
       (37202279*s[56])/3168 + (37956701*s[57])/2376 - 
       (626018491*s[58])/28512 + (620380855*s[59])/28512 + 
       (2030125949*s[60])/19008 - (724377011*s[61])/128304 + s[65] + 
       4*s[66] - 4*s[67] + 14*s[68] - 22*s[69] + 8*s[70] - s[71] + 2*s[72] + 
       8*s[73] - (27*s[74])/4 + (27*s[75])/4 - 23*s[76] + 11*s[77] - 
       7*s[78] + 126*s[79] - (43*s[80])/4 - 246*s[82] - 3*s[83] + 78*s[84] - 
       12*s[85]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
      (-3*s[2] - (113*s[3])/12 + (3401*s[4])/32 + (55175*s[5])/1056 + 
       (167809*s[6])/1056 + (12856337*s[7])/9504 - (4528307*s[8])/28512 - 
       (2915839*s[9])/2592 - (658781*s[10])/2592 - (28337981*s[11])/19008 - 
       (32244181*s[12])/19008 - (9822695*s[13])/9504 - (74579*s[14])/4752 - 
       (1445617*s[15])/864 - (10276243*s[16])/4752 - (9573191*s[17])/6336 - 
       (2141453*s[18])/7776 - (882625*s[19])/7776 - (105813701*s[20])/42768 - 
       (75826693*s[21])/85536 + (60347795*s[22])/85536 + 
       (40278233*s[23])/19008 + (221640721*s[24])/171072 - 
       (3031104551*s[25])/1539648 + (1596836759*s[26])/1539648 - s[28]/24 - 
       s[29] + s[30]/8 - s[31]/12 - s[32]/6 - (257*s[33])/96 - (3*s[34])/8 - 
       (13*s[35])/12 - (71*s[36])/9 + (541*s[37])/72 + (329*s[38])/6 - 
       (12727*s[39])/48 + (41945*s[40])/144 - (2771*s[41])/12 + 
       (29603*s[42])/72 + (326155*s[43])/1584 - (338731*s[44])/1584 + 
       (330053*s[45])/1584 - (39713*s[46])/22 + (661325*s[47])/4752 - 
       (51005*s[48])/594 - (4092653*s[49])/4752 + (1068281*s[50])/792 + 
       (695111*s[51])/2376 + (565643*s[52])/2376 - (1532375*s[53])/1584 + 
       (5729*s[54])/33 - (1570853*s[55])/264 - (1972735*s[56])/1188 + 
       (33795667*s[57])/14256 - (32350553*s[58])/10692 + 
       (130266095*s[59])/42768 + (393011297*s[60])/28512 - 
       (611503267*s[61])/769824 - s[65]/6 - (2*s[66])/3 + (4*s[67])/3 + 
       (35*s[68])/12 + (7*s[69])/6 + s[70]/3 - s[71]/3 + s[72]/6 - 
       (14*s[73])/3 - (35*s[74])/24 + (35*s[75])/24 - s[76]/3 + 
       (11*s[77])/6 + (5*s[78])/6 + 16*s[79] - (29*s[80])/36 - 
       (373*s[82])/4 + s[83]/2 + 12*s[84] - 11*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*
      ((8*s[2])/3 + (7*s[3])/48 + (13315*s[4])/96 - (11719*s[5])/176 - 
       (5987*s[6])/1056 + (115727*s[7])/19008 - (748871*s[8])/9504 + 
       (28705*s[9])/432 + (137927*s[10])/432 - (1357507*s[11])/6336 - 
       (1777157*s[12])/3168 - (9867397*s[13])/19008 + (5367251*s[14])/6336 + 
       (763087*s[15])/1728 + (3445039*s[16])/9504 + (20779225*s[17])/19008 + 
       (76837*s[18])/1296 + (48055*s[19])/2592 + (26583625*s[20])/28512 + 
       (9316147*s[21])/19008 + (124915*s[22])/57024 + (9154181*s[23])/4752 - 
       (3248609*s[24])/14256 - (1579915*s[25])/2376 + (138607*s[26])/4752 - 
       s[28]/8 + (35*s[29])/12 + (29*s[30])/12 + (55*s[31])/12 + 
       (55*s[32])/24 + (437*s[33])/48 - (103*s[34])/12 - (13*s[35])/12 - 
       (9*s[36])/2 + (143*s[37])/18 + (2987*s[38])/24 - (5417*s[39])/16 + 
       (16463*s[40])/48 - (766*s[41])/3 + (2645*s[42])/6 + 
       (153029*s[43])/528 - (137273*s[44])/528 + (35983*s[45])/396 - 
       (2191579*s[46])/1584 + (162247*s[47])/1584 + (3247*s[48])/396 - 
       (1885435*s[49])/1584 + (166285*s[50])/176 + (417955*s[51])/1584 + 
       (26585*s[52])/99 - (2737781*s[53])/4752 + (96029*s[54])/1584 - 
       (605823*s[55])/176 - (4115719*s[56])/4752 + (23993687*s[57])/7128 - 
       (56686873*s[58])/21384 + (117858905*s[59])/42768 + 
       (11543519*s[60])/1056 - (115253741*s[61])/384912 + s[64]/8 + 
       (5*s[65])/24 + (5*s[66])/6 - (10*s[67])/3 - (59*s[68])/12 - 
       (19*s[69])/4 - (25*s[70])/12 - (13*s[71])/8 + (8*s[72])/3 + 
       (35*s[73])/6 - s[74]/6 + (5*s[75])/12 - (59*s[76])/6 - (10*s[77])/3 + 
       (19*s[78])/6 + (31*s[79])/3 + (301*s[80])/18 - (433*s[82])/2 - 
       s[83]/4 + 19*s[84] - 11*s[85]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((-11*s[2])/4 - (25*s[3])/3 - (1153*s[4])/48 - 
       (1169*s[5])/44 - (12523*s[6])/264 - (458717*s[7])/792 + 
       (10547*s[8])/264 + (1445*s[9])/3 + (10141*s[10])/48 + 
       (109277*s[11])/176 + (332581*s[12])/528 + (1192933*s[13])/3168 + 
       (3163*s[14])/33 + (8078*s[15])/9 + (1699139*s[16])/1584 + 
       (3009773*s[17])/3168 + (37027*s[18])/864 + (163205*s[19])/864 + 
       (11384837*s[20])/9504 + (943333*s[21])/2376 - (119111*s[22])/396 - 
       (475549*s[23])/1584 - (624527*s[24])/792 + (68078563*s[25])/85536 - 
       (35140651*s[26])/85536 - s[31] + (5*s[32])/12 - (9*s[33])/4 + s[34] - 
       s[36]/2 + (5*s[37])/8 - (289*s[38])/24 + (1885*s[39])/48 - 
       (2149*s[40])/48 + (517*s[41])/16 - (2395*s[42])/48 - 
       (33799*s[43])/528 + (35275*s[44])/528 - (54643*s[45])/528 + 
       (13987*s[46])/22 + (36293*s[47])/1584 - (122503*s[48])/1584 + 
       (1094399*s[49])/3168 - (74083*s[50])/132 - (81247*s[51])/3168 + 
       (2291*s[52])/792 + (161237*s[53])/396 + (71905*s[54])/528 + 
       (2087645*s[55])/792 + (516083*s[56])/1056 + (442367*s[57])/792 + 
       (2068829*s[58])/3168 - (2506645*s[59])/3168 - (114638729*s[60])/
        19008 + (1527385*s[61])/5346 + (5*s[68])/6 - (5*s[69])/6 + s[76] + 
       (5*s[77])/6 - (5*s[80])/2 - (149*s[82])/2 - 10*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((-5*s[2])/4 + (827*s[3])/24 + (27311*s[4])/48 + (62629*s[5])/264 + 
       (430327*s[6])/528 + (67661057*s[7])/9504 - (8876249*s[8])/14256 - 
       (3838331*s[9])/648 - (524069*s[10])/324 - (76242803*s[11])/9504 - 
       (21542317*s[12])/2376 - (5964973*s[13])/1056 - (1367183*s[14])/9504 - 
       (2577673*s[15])/288 - (9301505*s[16])/792 - (78958393*s[17])/9504 - 
       (2278801*s[18])/1944 - (4489195*s[19])/3888 - (565359127*s[20])/
        42768 - (385347749*s[21])/85536 + (319305037*s[22])/85536 + 
       (410505*s[23])/44 + (166370497*s[24])/21384 - (2048563181*s[25])/
        192456 + (1040127833*s[26])/192456 + (8*s[29])/3 + (10*s[31])/3 - 
       s[32] + (43*s[33])/24 - (16*s[34])/3 + (2*s[35])/3 - (607*s[36])/36 + 
       (235*s[37])/12 + (1369*s[38])/4 - (15541*s[39])/16 + 
       (159289*s[40])/144 - (13715*s[41])/16 + (186167*s[42])/144 + 
       (1647827*s[43])/1584 - (2889001*s[44])/3168 + (29157*s[45])/22 - 
       (14036117*s[46])/1584 + (1338083*s[47])/9504 + (4615313*s[48])/9504 - 
       (40920305*s[49])/9504 + (2680631*s[50])/396 + (8905453*s[51])/9504 + 
       (7919443*s[52])/9504 - (5499817*s[53])/1188 + (8743*s[54])/396 - 
       (95963371*s[55])/3168 - (76974539*s[56])/9504 + 
       (44606531*s[57])/7128 - (1161166753*s[58])/85536 + 
       (1167480991*s[59])/85536 + (4252092443*s[60])/57024 - 
       (3037288519*s[61])/769824 + 2*s[63] - s[64]/2 + (23*s[65])/6 + 
       (37*s[66])/3 - (49*s[67])/3 - (29*s[68])/3 - 31*s[69] + (2*s[70])/3 - 
       (25*s[71])/3 - (34*s[72])/3 + (43*s[73])/6 + 4*s[74] - (9*s[75])/2 - 
       (62*s[76])/3 + (28*s[77])/3 - (65*s[78])/6 + 97*s[79] + (70*s[80])/3 - 
       268*s[82] - (25*s[83])/4 + (151*s[84])/2 - 10*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((-1027*s[2])/144 + (1873*s[3])/96 - (253987*s[4])/576 - 
       (1028851*s[5])/3168 - (4778903*s[6])/6336 - (817101479*s[7])/114048 + 
       (108452933*s[8])/171072 + (23601061*s[9])/3888 + (827605*s[10])/486 + 
       (912870653*s[11])/114048 + (255156199*s[12])/28512 + 
       (69518179*s[13])/12672 + (55138889*s[14])/114048 + 
       (31845779*s[15])/3456 + (28216241*s[16])/2376 + 
       (987788203*s[17])/114048 + (28670617*s[18])/23328 + 
       (49953811*s[19])/46656 + (7058558743*s[20])/513216 + 
       (5054780543*s[21])/1026432 - (3895345759*s[22])/1026432 - 
       (9412045*s[23])/1056 - (998881415*s[24])/128304 + 
       (47938465885*s[25])/4618944 - (25491304741*s[26])/4618944 + 
       (5*s[29])/3 - (23*s[30])/24 - (64*s[31])/9 + (23*s[32])/36 + 
       (391*s[33])/72 + (625*s[34])/72 + (1147*s[35])/72 + (2879*s[36])/108 - 
       (781*s[37])/18 - (24221*s[38])/72 + (39133*s[39])/32 - 
       (1134967*s[40])/864 + (286861*s[41])/288 - (746737*s[42])/432 - 
       (10021553*s[43])/9504 + (20532295*s[44])/19008 - (578905*s[45])/528 + 
       (83522837*s[46])/9504 - (24861161*s[47])/57024 - 
       (2528675*s[48])/57024 + (273405293*s[49])/57024 - 
       (31781731*s[50])/4752 - (64936225*s[51])/57024 - 
       (54313477*s[52])/57024 + (66296897*s[53])/14256 - 
       (248723*s[54])/4752 + (185339741*s[55])/6336 + 
       (428790635*s[56])/57024 - (772794361*s[57])/85536 + 
       (7186903477*s[58])/513216 - (7363359781*s[59])/513216 - 
       (24567459887*s[60])/342144 + (4210632859*s[61])/1154736 + 
       (3*s[62])/8 + (5*s[65])/18 + (10*s[66])/9 - (20*s[67])/9 - 
       (47*s[68])/9 + (7*s[69])/9 - (5*s[70])/9 + (2*s[71])/9 - 
       (109*s[72])/36 + (131*s[73])/36 + (719*s[74])/144 - (719*s[75])/144 + 
       (115*s[76])/12 - (227*s[77])/72 - (329*s[78])/36 - (265*s[79])/6 - 
       (88*s[80])/9 - 67*s[82] - (5*s[83])/6 - (73*s[84])/2 - (29*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - v]*
      (-s[2] - (70*s[3])/9 - (199*s[4])/72 - (6269*s[5])/792 - 
       (1285*s[6])/1056 - (1342501*s[7])/9504 + (10877*s[8])/3168 + 
       (35879*s[9])/288 + (5051*s[10])/72 + (920621*s[11])/6336 + 
       (963277*s[12])/6336 + (99353*s[13])/2376 + (259901*s[14])/3168 + 
       (161497*s[15])/864 + (310207*s[16])/1188 + (4089155*s[17])/19008 + 
       (184175*s[18])/2592 - (12923*s[19])/2592 + (12056149*s[20])/28512 + 
       (613171*s[21])/3564 - (118955*s[22])/1584 - (1404983*s[23])/19008 - 
       (2765503*s[24])/19008 + (69681025*s[25])/513216 - 
       (61998319*s[26])/513216 + (7*s[32])/18 + (53*s[37])/9 + 
       (559*s[38])/72 - (2209*s[39])/144 + (1537*s[40])/144 + (95*s[41])/48 + 
       (1687*s[42])/72 + (15043*s[43])/1584 + (4867*s[44])/3168 - 
       (49025*s[45])/1584 + (17167*s[46])/132 + (113939*s[47])/9504 - 
       (200617*s[48])/9504 + (12295*s[49])/9504 - (29599*s[50])/264 + 
       (128077*s[51])/9504 + (71683*s[52])/9504 + (333349*s[53])/4752 + 
       (1201*s[54])/396 + (5604637*s[55])/9504 + (555461*s[56])/3168 + 
       (1350289*s[57])/4752 + (3205099*s[58])/28512 - (2488873*s[59])/28512 - 
       (71510917*s[60])/57024 + (4257547*s[61])/42768 + (7*s[68])/9 - 
       (7*s[69])/9 + (7*s[77])/9 - (733*s[82])/12 - (28*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*
      ((8*s[2])/3 - (1351*s[3])/48 - (4331*s[4])/32 - (1145*s[5])/16 - 
       (22541*s[6])/96 - (290059*s[7])/144 + (36511*s[8])/216 + 
       (1416871*s[9])/864 + (542015*s[10])/864 + (633041*s[11])/288 + 
       (339467*s[12])/144 + (132695*s[13])/96 + (102083*s[14])/288 + 
       (204931*s[15])/72 + (345035*s[16])/96 + (52585*s[17])/18 + 
       (426247*s[18])/1296 + (264229*s[19])/648 + (2693363*s[20])/648 + 
       (3840059*s[21])/2592 - (2693923*s[22])/2592 - (189055*s[23])/96 - 
       (6277153*s[24])/2592 + (64983335*s[25])/23328 - 
       (36103451*s[26])/23328 - s[27]/3 - (5*s[30])/12 + (10*s[31])/3 - 
       (17*s[32])/24 + (19*s[33])/48 - (131*s[34])/12 + (71*s[35])/18 + 
       (187*s[36])/72 + (323*s[37])/72 - (1237*s[38])/24 + 
       (61135*s[39])/288 - (70619*s[40])/288 + (57815*s[41])/288 - 
       (86323*s[42])/288 - (626089*s[43])/3168 + (175189*s[44])/792 - 
       (354259*s[45])/1584 + (5568337*s[46])/3168 - (47039*s[47])/1188 - 
       (690307*s[48])/9504 + (8976127*s[49])/9504 - (1085107*s[50])/792 - 
       (906217*s[51])/4752 - (1504979*s[52])/9504 + (9100115*s[53])/9504 + 
       (3115*s[54])/528 + (19561579*s[55])/3168 + (1706071*s[56])/1056 - 
       (12481009*s[57])/9504 + (38224751*s[58])/14256 - 
       (39731789*s[59])/14256 - (844121257*s[60])/57024 + 
       (66773983*s[61])/85536 - s[66] + s[67] + s[68]/3 + (2*s[69])/3 + 
       (5*s[70])/6 - (5*s[71])/8 - (2*s[72])/3 - s[73] + (29*s[74])/36 - 
       (29*s[75])/36 - (7*s[76])/18 + s[77]/9 - (5*s[78])/6 - (127*s[79])/6 + 
       (221*s[80])/36 - (271*s[82])/6 - 8*s[84] - (28*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]^2*
      ((-749*s[2])/144 + (4853*s[3])/96 + (23639*s[4])/576 - 
       (1045*s[5])/288 + (37921*s[6])/576 + (2352961*s[7])/10368 - 
       (17899*s[8])/15552 - (1175255*s[9])/7776 - (819595*s[10])/7776 - 
       (2134747*s[11])/10368 - (424751*s[12])/2592 - (228583*s[13])/3456 - 
       (1533595*s[14])/10368 - (173327*s[15])/384 - (430313*s[16])/864 - 
       (5789117*s[17])/10368 - (2648443*s[18])/23328 + (299693*s[19])/46656 - 
       (28747985*s[20])/46656 - (25927129*s[21])/93312 + 
       (8208269*s[22])/93312 + (424541*s[23])/864 + (2248945*s[24])/11664 - 
       (80004275*s[25])/419904 + (88249229*s[26])/419904 + (11*s[29])/6 + 
       (5*s[30])/24 - (11*s[31])/9 - (527*s[32])/144 + (367*s[33])/144 + 
       (359*s[34])/72 + (89*s[35])/72 + (1751*s[36])/216 + (205*s[37])/96 - 
       (815*s[38])/36 + (1655*s[39])/36 - (8195*s[40])/216 + 
       (1105*s[41])/48 - (23033*s[42])/432 - (79835*s[43])/1188 + 
       (1237223*s[44])/19008 - (303943*s[45])/6336 + (7088687*s[46])/19008 + 
       (1595015*s[47])/57024 - (4216153*s[48])/57024 + 
       (19378039*s[49])/57024 - (3023995*s[50])/9504 - 
       (1806041*s[51])/57024 - (404783*s[52])/57024 + 
       (13545319*s[53])/57024 + (232273*s[54])/2376 + 
       (26544037*s[55])/19008 + (8839231*s[56])/57024 + 
       (46671433*s[57])/85536 + (72558781*s[58])/256608 - 
       (213076679*s[59])/513216 - (307785373*s[60])/85536 + 
       (960515443*s[61])/9237888 + s[64]/8 + (53*s[65])/144 + (53*s[66])/36 - 
       (31*s[67])/9 - (17*s[68])/18 - (107*s[69])/18 - (89*s[70])/72 - 
       (11*s[71])/36 - (11*s[72])/36 - (107*s[73])/36 + (133*s[74])/144 - 
       (61*s[75])/144 - (23*s[76])/6 - (23*s[77])/9 + (35*s[78])/36 + 
       (86*s[79])/3 - (1721*s[80])/144 - (305*s[82])/4 - (71*s[83])/48 - 
       (77*s[84])/8 - (25*s[85])/3) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*((-221*s[2])/144 - (5119*s[3])/96 - 
       (123331*s[4])/576 - (8839*s[5])/99 - (2152429*s[6])/6336 - 
       (312933685*s[7])/114048 + (43969357*s[8])/171072 + 
       (4328851*s[9])/1944 + (703213*s[10])/972 + (346150795*s[11])/114048 + 
       (11933953*s[12])/3564 + (75547771*s[13])/38016 + 
       (25044235*s[14])/114048 + (4210895*s[15])/1152 + (1409797*s[16])/297 + 
       (416491001*s[17])/114048 + (11830121*s[18])/23328 + 
       (21325523*s[19])/46656 + (2747013365*s[20])/513216 + 
       (1912893493*s[21])/1026432 - (1440901301*s[22])/1026432 - 
       (33664505*s[23])/9504 - (773302655*s[24])/256608 + 
       (4562920277*s[25])/1154736 - (4843759363*s[26])/2309472 + 
       (17*s[29])/6 - (31*s[30])/24 + (13*s[31])/9 + (455*s[32])/72 + 
       (319*s[33])/144 - (25*s[34])/72 + (137*s[35])/72 + (623*s[36])/54 - 
       (181*s[37])/24 - (4711*s[38])/72 + (97297*s[39])/288 - 
       (322187*s[40])/864 + (29635*s[41])/96 - (437995*s[42])/864 - 
       (2638837*s[43])/9504 + (94703*s[44])/297 - (128761*s[45])/396 + 
       (25020415*s[46])/9504 - (917651*s[47])/7128 - (432941*s[48])/28512 + 
       (4655065*s[49])/3564 - (9477977*s[50])/4752 - (9752821*s[51])/28512 - 
       (7585687*s[52])/28512 + (1250884*s[53])/891 - (92593*s[54])/1188 + 
       (82578029*s[55])/9504 + (16974581*s[56])/7128 - 
       (248257139*s[57])/85536 + (543330839*s[58])/128304 - 
       (1089593113*s[59])/256608 - (1783363063*s[60])/85536 + 
       (5481310895*s[61])/4618944 + (23*s[65])/36 + (23*s[66])/9 - 
       (37*s[67])/9 + (17*s[68])/9 - (119*s[69])/18 - (7*s[70])/9 - 
       (5*s[71])/36 - (77*s[72])/36 + (79*s[73])/36 + (391*s[74])/144 - 
       (391*s[75])/144 + (11*s[76])/12 + (449*s[77])/72 - (241*s[78])/36 - 
       (19*s[79])/3 - (77*s[80])/36 - 60*s[82] - (23*s[83])/12 - 4*s[84] - 
       (25*s[85])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v]*(-9*s[2] + (81*s[3])/4 - (439*s[4])/24 - 
       (2511*s[5])/44 - (2309*s[6])/44 - (1117799*s[7])/1584 + 
       (8837*s[8])/198 + (49105*s[9])/72 + (989*s[10])/18 + 
       (78173*s[11])/88 + (587495*s[12])/528 + (1141489*s[13])/1584 - 
       (47479*s[14])/528 + (86981*s[15])/144 + (387217*s[16])/396 + 
       (134795*s[17])/396 + (38527*s[18])/216 - (1391*s[19])/108 + 
       (3020177*s[20])/2376 + (806293*s[21])/1584 - (1970125*s[22])/4752 - 
       (1963739*s[23])/1584 - (2939113*s[24])/4752 + (16444973*s[25])/14256 - 
       (8698385*s[26])/14256 - 8*s[31] + (3*s[33])/2 + 13*s[34] + 3*s[35] + 
       (47*s[36])/6 - (43*s[37])/3 - 88*s[38] + (6211*s[39])/24 - 
       (2117*s[40])/8 + (4621*s[41])/24 - (7937*s[42])/24 - 
       (20591*s[43])/88 + (117521*s[44])/528 - (14957*s[45])/66 + 
       (452791*s[46])/264 - (15337*s[47])/176 - (6251*s[48])/176 + 
       (563909*s[49])/528 - (27527*s[50])/22 - (300023*s[51])/1584 - 
       (102253*s[52])/528 + (658369*s[53])/792 + (2624*s[54])/33 + 
       (8379247*s[55])/1584 + (2024497*s[56])/1584 - (2474011*s[57])/1188 + 
       (39987359*s[58])/14256 - (40149629*s[59])/14256 - 
       (44732423*s[60])/3168 + (81867143*s[61])/128304 - 2*s[68] + 2*s[69] + 
       8*s[76] - 2*s[77] - 5*s[78] + 20*s[79] - 20*s[80] - 82*s[82] - 
       8*s[85]) + HPL[{0, 1, 1}, 1 - v]*Omega2[v, w, u]*
      (-3*s[2] - 20*s[3] - 102*s[4] - (1303*s[5])/22 - (2014*s[6])/11 - 
       (76599*s[7])/44 + (11267*s[8])/99 + (25973*s[9])/18 + (5144*s[10])/9 + 
       (257083*s[11])/132 + (274553*s[12])/132 + (85883*s[13])/66 + 
       (15143*s[14])/66 + (29159*s[15])/12 + (404539*s[16])/132 + 
       (325771*s[17])/132 + (5153*s[18])/27 + (26957*s[19])/54 + 
       (1020874*s[20])/297 + (343846*s[21])/297 - (269183*s[22])/297 - 
       (73981*s[23])/66 - (1348363*s[24])/594 + (26771815*s[25])/10692 - 
       (13791439*s[26])/10692 + s[32] + 12*s[37] - 71*s[38] + 221*s[39] - 
       245*s[40] + (407*s[41])/2 - (549*s[42])/2 - (2941*s[43])/11 + 
       (11635*s[44])/44 - (2755*s[45])/11 + (21658*s[46])/11 + 
       (4351*s[47])/132 - (30893*s[48])/132 + (172451*s[49])/132 - 
       (36151*s[50])/22 - (7571*s[51])/44 - (13939*s[52])/132 + 
       (71167*s[53])/66 + (2939*s[54])/11 + (913195*s[55])/132 + 
       (179291*s[56])/132 - (4765*s[57])/198 + (2946421*s[58])/1188 - 
       (3227887*s[59])/1188 - (14182979*s[60])/792 + (7992793*s[61])/10692 + 
       4*s[68] - 4*s[69] + 4*s[77] - 76*s[82] - 8*s[85]) + 
     HPL[{0, 1, 1}, 1 - u]*Omega2[w, u, v]*(4*s[2] - (27*s[3])/2 - 
       (313*s[4])/4 - 78*s[5] - (737*s[6])/4 - (12681*s[7])/8 + 
       (3515*s[8])/36 + (11987*s[9])/9 + (4771*s[10])/9 + (41093*s[11])/24 + 
       (21221*s[12])/12 + (25601*s[13])/24 + (9659*s[14])/24 + 
       (18809*s[15])/8 + (34363*s[16])/12 + (58943*s[17])/24 + 
       (11675*s[18])/54 + (40895*s[19])/108 + (363013*s[20])/108 + 
       (266201*s[21])/216 - (178333*s[22])/216 - (5959*s[23])/6 - 
       (109927*s[24])/54 + (515446*s[25])/243 - (297160*s[26])/243 + 
       4*s[31] + 3*s[33] - 8*s[34] + (22*s[36])/3 + 15*s[37] - 51*s[38] + 
       178*s[39] - (592*s[40])/3 + (323*s[41])/2 - (1435*s[42])/6 - 
       (5843*s[43])/33 + (12289*s[44])/66 - (3353*s[45])/22 + 
       (86041*s[46])/66 - (2191*s[47])/99 - (5425*s[48])/99 + 
       (170501*s[49])/198 - (70375*s[50])/66 - (32521*s[51])/198 - 
       (21907*s[52])/198 + (146645*s[53])/198 + (4709*s[54])/33 + 
       (310747*s[55])/66 + (181583*s[56])/198 - (164467*s[57])/297 + 
       (3229351*s[58])/1782 - (3644683*s[59])/1782 - (13626197*s[60])/1188 + 
       (14823581*s[61])/32076 + 2*s[68] - 2*s[69] + 2*s[70] + s[74] - s[75] - 
       4*s[76] + 2*s[77] - 8*s[79] - 2*s[80] - 76*s[82] - 8*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Omega2[v, w, u]*
      (-s[2] - (20*s[3])/3 - (13*s[4])/4 - (283*s[5])/22 - (639*s[6])/22 - 
       (155561*s[7])/792 - (499*s[8])/1188 + (4477*s[9])/27 + 
       (8939*s[10])/108 + (169241*s[11])/792 + (165991*s[12])/792 + 
       (2817*s[13])/22 + (48355*s[14])/396 + (20243*s[15])/72 + 
       (95527*s[16])/264 + (272587*s[17])/792 + (4495*s[18])/162 + 
       (8495*s[19])/162 + (874139*s[20])/1782 + (679771*s[21])/3564 - 
       (360251*s[22])/3564 + (1571*s[23])/44 - (245939*s[24])/891 + 
       (15375317*s[25])/64152 - (10572359*s[26])/64152 + s[32]/3 + 2*s[37] - 
       (4*s[38])/3 - (33*s[39])/4 + (17*s[40])/4 + (5*s[41])/12 + 
       (379*s[42])/12 - (1939*s[43])/132 + (2647*s[44])/132 - 
       (7723*s[45])/132 + (16919*s[46])/66 + (14011*s[47])/396 - 
       (12679*s[48])/198 + (18655*s[49])/198 - (2063*s[50])/11 + 
       (12187*s[51])/396 + (3229*s[52])/198 + (55795*s[53])/396 + 
       (84*s[54])/11 + (50789*s[55])/44 + (10229*s[56])/33 + 
       (53176*s[57])/99 + (66278*s[58])/297 - (151225*s[59])/594 - 
       (6095195*s[60])/2376 + (250699*s[61])/1782 + (2*s[68])/3 - 
       (2*s[69])/3 + (2*s[77])/3 - 58*s[82] - 8*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - w]*
      (s[1]/48 - s[2] - (20*s[3])/3 - (265*s[4])/48 - (347*s[5])/33 - 
       (633*s[6])/22 - (41639*s[7])/198 + (689*s[8])/198 + (1568*s[9])/9 + 
       (12373*s[10])/144 + (40059*s[11])/176 + (19907*s[12])/88 + 
       (220949*s[13])/1584 + (51109*s[14])/528 + (22235*s[15])/72 + 
       (153719*s[16])/396 + (566947*s[17])/1584 + (3751*s[18])/144 + 
       (973*s[19])/16 + (766553*s[20])/1584 + (207919*s[21])/1188 - 
       (510727*s[22])/4752 - (4253*s[23])/792 - (1388617*s[24])/4752 + 
       (11498161*s[25])/42768 - (1732429*s[26])/10692 + s[32]/3 + 
       (71*s[37])/24 - (35*s[38])/12 - (29*s[39])/48 - (163*s[40])/48 + 
       (71*s[41])/16 + (595*s[42])/48 - (10477*s[43])/528 + 
       (5867*s[44])/264 - (25441*s[45])/528 + (2595*s[46])/11 + 
       (40013*s[47])/1584 - (95947*s[48])/1584 + (166753*s[49])/1584 - 
       (8425*s[50])/44 + (6425*s[51])/792 + (13363*s[52])/1584 + 
       (25555*s[53])/198 + (7297*s[54])/264 + (769949*s[55])/792 + 
       (15643*s[56])/66 + (312931*s[57])/792 + (510971*s[58])/2376 - 
       (1090255*s[59])/4752 - (22410517*s[60])/9504 + (3470197*s[61])/28512 + 
       (2*s[68])/3 - (2*s[69])/3 + (2*s[77])/3 - (191*s[82])/4 - 8*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - w]*
      ((4*s[2])/3 - (9*s[3])/2 - (17*s[4])/48 - (351*s[5])/44 - 
       (641*s[6])/33 - (73577*s[7])/792 - (10169*s[8])/2376 + 
       (16421*s[9])/216 + (25145*s[10])/432 + (72095*s[11])/792 + 
       (54397*s[12])/792 + (1621*s[13])/44 + (41149*s[14])/396 + 
       (12329*s[15])/72 + (17921*s[16])/88 + (382883*s[17])/1584 + 
       (9313*s[18])/648 + (11347*s[19])/324 + (3869887*s[20])/14256 + 
       (807581*s[21])/7128 - (323503*s[22])/7128 + (59957*s[23])/528 - 
       (1115977*s[24])/7128 + (2646007*s[25])/32076 - (4927451*s[26])/64152 + 
       (4*s[31])/3 + s[33] - (8*s[34])/3 - (8*s[35])/3 - (14*s[36])/9 + 
       (29*s[37])/144 + (15*s[38])/4 - (343*s[39])/16 + (2447*s[40])/144 - 
       (161*s[41])/16 + (5461*s[42])/144 - (3623*s[43])/1584 + 
       (563*s[44])/1584 - (43675*s[45])/1584 + (1967*s[46])/22 + 
       (9116*s[47])/297 - (68245*s[48])/1188 + (73459*s[49])/4752 - 
       (8432*s[50])/99 + (54695*s[51])/2376 + (30595*s[52])/1188 + 
       (15971*s[53])/264 + (521*s[54])/22 + (818573*s[55])/1584 + 
       (309631*s[56])/2376 + (1824523*s[57])/3564 - (213145*s[58])/21384 - 
       (157243*s[59])/42768 - (32138185*s[60])/28512 + 
       (51172619*s[61])/769824 + (2*s[68])/3 - (2*s[69])/3 - s[74]/3 + 
       s[75]/3 - (4*s[76])/3 + (2*s[77])/3 + (4*s[78])/3 - (8*s[79])/3 + 
       (28*s[80])/9 - (191*s[82])/4 - 8*s[85]) + HPL[{1}, 1 - v]^4*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*(-s[2] - (20*s[3])/3 + 
       (163*s[4])/24 - (2791*s[5])/264 - (6415*s[6])/528 - (12544*s[7])/99 - 
       (302*s[8])/33 + (1759*s[9])/16 + (1819*s[10])/24 + (34663*s[11])/264 + 
       (15413*s[12])/132 + (94265*s[13])/1584 + (4813*s[14])/44 + 
       (29773*s[15])/144 + (398669*s[16])/1584 + (26020*s[17])/99 + 
       (9221*s[18])/432 + (18607*s[19])/432 + (1721641*s[20])/4752 + 
       (663815*s[21])/4752 - (4333*s[22])/66 + (40451*s[23])/396 - 
       (308575*s[24])/1584 + (11111017*s[25])/85536 - (8593087*s[26])/85536 + 
       s[32]/3 + 2*s[37] - (5*s[38])/3 - (149*s[39])/12 + (101*s[40])/12 - 
       (133*s[41])/16 + (1441*s[42])/48 - (5011*s[43])/528 + 
       (12491*s[44])/1056 - (4681*s[45])/132 + (11415*s[46])/88 + 
       (98911*s[47])/3168 - (203963*s[48])/3168 + (203657*s[49])/3168 - 
       (3815*s[50])/33 + (57053*s[51])/3168 + (55103*s[52])/3168 + 
       (54475*s[53])/792 + (3955*s[54])/88 + (1873031*s[55])/3168 + 
       (136021*s[56])/1056 + (377275*s[57])/792 + (474599*s[58])/9504 - 
       (571679*s[59])/9504 - (29456411*s[60])/19008 + (2046677*s[61])/28512 + 
       (2*s[68])/3 - (2*s[69])/3 + (2*s[77])/3 - (173*s[82])/4 - 8*s[85]) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((4*s[2])/3 - (9*s[3])/2 + (625*s[4])/48 - (337*s[5])/44 - 
       (995*s[6])/528 - (5539*s[7])/1584 - (78217*s[8])/4752 + 
       (211*s[9])/27 + (9985*s[10])/216 - (34117*s[11])/3168 - 
       (4564*s[12])/99 - (45035*s[13])/1056 + (352475*s[14])/3168 + 
       (7867*s[15])/144 + (54535*s[16])/1056 + (413923*s[17])/3168 + 
       (4939*s[18])/648 + (21277*s[19])/1296 + (455707*s[20])/3564 + 
       (1889693*s[21])/28512 - (23329*s[22])/28512 + (253859*s[23])/1056 - 
       (1405825*s[24])/28512 - (1985375*s[25])/32076 - (403187*s[26])/64152 + 
       (4*s[31])/3 + s[33] - (8*s[34])/3 - (8*s[35])/3 - (14*s[36])/9 + 
       (5*s[37])/144 + (21*s[38])/4 - (269*s[39])/8 + (2101*s[40])/72 - 
       (375*s[41])/16 + (8053*s[42])/144 + (17221*s[43])/1584 - 
       (14809*s[44])/1584 - (11681*s[45])/792 - (1825*s[46])/88 + 
       (40289*s[47])/1188 - (135671*s[48])/2376 - (160343*s[49])/4752 - 
       (6913*s[50])/792 + (142573*s[51])/4752 + (84149*s[52])/2376 - 
       (1163*s[53])/528 + (11423*s[54])/264 + (172259*s[55])/1584 + 
       (50327*s[56])/4752 + (514885*s[57])/891 - (7479005*s[58])/42768 + 
       (3747517*s[59])/21384 - (1887085*s[60])/7128 + (1365943*s[61])/96228 + 
       (2*s[68])/3 - (2*s[69])/3 - s[74]/3 + s[75]/3 - (4*s[76])/3 + 
       (2*s[77])/3 + (4*s[78])/3 - (8*s[79])/3 + (28*s[80])/9 - 
       (173*s[82])/4 - 8*s[85]) + HPL[{0, 1, 1}, 1 - v]*Omega2[u, v, w]*
      (3*s[2] + 44*s[3] + 143*s[4] + (1497*s[5])/22 + (3012*s[6])/11 + 
       (90573*s[7])/44 - (15647*s[8])/99 - (29975*s[9])/18 - (5213*s[10])/9 - 
       (303277*s[11])/132 - (331037*s[12])/132 - (51496*s[13])/33 - 
       (8749*s[14])/33 - (11195*s[15])/4 - (471883*s[16])/132 - 
       (371029*s[17])/132 - (7562*s[18])/27 - (25523*s[19])/54 - 
       (1195585*s[20])/297 - (815255*s[21])/594 + (624319*s[22])/594 + 
       (125905*s[23])/66 + (1494967*s[24])/594 - (32058733*s[25])/10692 + 
       (16753117*s[26])/10692 - s[32] + 6*s[37] + 57*s[38] - 188*s[39] + 
       200*s[40] - (287*s[41])/2 + (489*s[42])/2 + (1978*s[43])/11 - 
       (7861*s[44])/44 + (1895*s[45])/11 - (14779*s[46])/11 + 
       (6361*s[47])/132 + (9001*s[48])/132 - (104971*s[49])/132 + 
       (21475*s[50])/22 + (7363*s[51])/44 + (18017*s[52])/132 - 
       (43699*s[53])/66 + (232*s[54])/11 - (186841*s[55])/44 - 
       (49177*s[56])/44 + (29959*s[57])/22 - (849047*s[58])/396 + 
       (856817*s[59])/396 + (8852323*s[60])/792 - (1960441*s[61])/3564 - 
       28*s[82] - 8*s[85]) + HPL[{0, 1, 1}, 1 - v]*Omega2[w, u, v]*
      (-3*s[2] - 20*s[3] - 20*s[4] + (45*s[5])/22 - (783*s[6])/11 - 
       (37667*s[7])/132 + (1315*s[8])/99 + (3529*s[9])/18 + (1471*s[10])/9 + 
       (32927*s[11])/132 + (18763*s[12])/132 + (1146*s[13])/11 + 
       (5276*s[14])/33 + (2419*s[15])/4 + (28657*s[16])/44 + 
       (112003*s[17])/132 - (1568*s[18])/27 + (10477*s[19])/54 + 
       (172100*s[20])/297 + (64921*s[21])/594 - (72509*s[22])/594 + 
       (3331*s[23])/11 - (158845*s[24])/297 + (3775835*s[25])/10692 - 
       (1373123*s[26])/10692 + s[32] + 6*s[37] + 39*s[38] - 115*s[39] + 
       127*s[40] - (187*s[41])/2 + (295*s[42])/2 + (921*s[43])/11 - 
       (4229*s[44])/44 + (956*s[45])/11 - (7357*s[46])/11 + (1899*s[47])/44 + 
       (7*s[48])/44 - (19249*s[49])/44 + (10537*s[50])/22 + 
       (10325*s[51])/132 + (4647*s[52])/44 - (5839*s[53])/22 - 
       (422*s[54])/11 - (245723*s[55])/132 - (23017*s[56])/44 + 
       (30303*s[57])/22 - (174565*s[58])/132 + (165811*s[59])/132 + 
       (1448797*s[60])/264 - (317839*s[61])/1188 - 28*s[82] - 8*s[85]) + 
     HPL[{0, 1, 1}, 1 - u]*Omega2[u, v, w]*(-4*s[2] + (27*s[3])/2 + 
       (477*s[4])/4 + (768*s[5])/11 + (10383*s[6])/44 + (160751*s[7])/88 - 
       (6453*s[8])/44 - 1505*s[9] - 537*s[10] - (175457*s[11])/88 - 
       (93661*s[12])/44 - (114805*s[13])/88 - (29287*s[14])/88 - 
       (20573*s[15])/8 - (140555*s[16])/44 - (229283*s[17])/88 - 
       (529*s[18])/2 - (1513*s[19])/4 - (161529*s[20])/44 - 
       (344143*s[21])/264 + (249163*s[22])/264 + (35975*s[23])/22 + 
       (145829*s[24])/66 - (756686*s[25])/297 + (415424*s[26])/297 - 
       4*s[31] - 3*s[33] + 8*s[34] - (10*s[36])/3 + s[37] + 51*s[38] - 
       228*s[39] + (790*s[40])/3 - (423*s[41])/2 + (1987*s[42])/6 + 
       (6449*s[43])/33 - (15271*s[44])/66 + (3033*s[45])/22 - 
       (94021*s[46])/66 + (7120*s[47])/99 + (3622*s[48])/99 - 
       (175391*s[49])/198 + (71875*s[50])/66 + (51559*s[51])/198 + 
       (33757*s[52])/198 - (144821*s[53])/198 + (1819*s[54])/33 - 
       (298717*s[55])/66 - (227225*s[56])/198 + (553903*s[57])/297 - 
       (4150669*s[58])/1782 + (4249561*s[59])/1782 + (13801439*s[60])/1188 - 
       (17251145*s[61])/32076 - 2*s[68] + 2*s[69] - 2*s[70] - s[74] + s[75] + 
       4*s[76] - 2*s[77] + 32*s[79] - 14*s[80] - 28*s[82] - 8*s[85]) + 
     HPL[{0, 1, 1}, 1 - u]*Omega2[v, w, u]*(4*s[2] - (27*s[3])/2 + 
       (15*s[4])/4 + (386*s[5])/11 + (369*s[6])/44 + (73963*s[7])/264 - 
       (5683*s[8])/396 - (2750*s[9])/9 + (185*s[10])/9 - (99853*s[11])/264 - 
       (69295*s[12])/132 - (28447*s[13])/88 + (20297*s[14])/264 - 
       (379*s[15])/8 - (11843*s[16])/44 + (33433*s[17])/264 - 
       (9491*s[18])/54 + (13723*s[19])/108 - (605609*s[20])/1188 - 
       (639493*s[21])/2376 + (417881*s[22])/2376 + (19143*s[23])/22 + 
       (29141*s[24])/594 - (1212152*s[25])/2673 + (767237*s[26])/2673 + 
       4*s[31] - 3*s[33] - 8*s[34] - (16*s[36])/3 + 15*s[37] + 45*s[38] - 
       (295*s[39])/2 + (893*s[40])/6 - 104*s[41] + (620*s[42])/3 + 
       (3049*s[43])/66 - (10001*s[44])/132 - (243*s[45])/22 - 
       (7631*s[46])/33 + (51979*s[47])/396 - (66359*s[48])/396 - 
       (83491*s[49])/396 + (3205*s[50])/66 + (65939*s[51])/396 + 
       (72815*s[52])/396 + (5114*s[53])/99 + (4273*s[54])/33 + 
       (59623*s[55])/132 - (16693*s[56])/396 + (864955*s[57])/297 - 
       (3972335*s[58])/3564 + (3073541*s[59])/3564 + (1056145*s[60])/2376 - 
       (25045*s[61])/16038 + 2*s[68] - 2*s[69] - 2*s[70] - s[74] + s[75] - 
       4*s[76] + 2*s[77] + 4*s[78] + 6*s[80] - 28*s[82] - 8*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*
      (-s[2] - (20*s[3])/3 - (11*s[4])/2 - (947*s[5])/33 - (3755*s[6])/88 - 
       (14787*s[7])/44 + (23257*s[8])/2376 + (64049*s[9])/216 + 
       (6499*s[10])/54 + (558691*s[11])/1584 + (549287*s[12])/1584 + 
       (143333*s[13])/792 + (95753*s[14])/792 + (8995*s[15])/18 + 
       (241867*s[16])/396 + (872743*s[17])/1584 + (69817*s[18])/648 + 
       (12491*s[19])/648 + (692176*s[20])/891 + (2416499*s[21])/7128 - 
       (309865*s[22])/1782 - (618437*s[23])/1584 - (4884137*s[24])/14256 + 
       (49163809*s[25])/128304 - (35718277*s[26])/128304 + s[32]/3 + 
       2*s[37] - (19*s[38])/3 + (415*s[39])/12 - (463*s[40])/12 + 
       (119*s[41])/3 - (103*s[42])/2 - (3461*s[43])/132 + (2767*s[44])/88 - 
       (7189*s[45])/132 + (24503*s[46])/66 - (551*s[47])/264 - 
       (925*s[48])/264 + (36941*s[49])/264 - (3358*s[50])/11 - 
       (24355*s[51])/792 - (7289*s[52])/264 + (7135*s[53])/33 - 
       (589*s[54])/33 + (1043951*s[55])/792 + (93353*s[56])/264 - 
       (6469*s[57])/22 + (459617*s[58])/792 - (451955*s[59])/792 - 
       (4713803*s[60])/1584 + (467473*s[61])/2376 + (2*s[68])/3 - 
       (2*s[69])/3 + (2*s[77])/3 - 20*s[82] - 8*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-37*s[2])/6 + 52*s[3] - (1216*s[4])/3 - (40577*s[5])/132 - 
       (88943*s[6])/132 - (16607785*s[7])/2376 + (1085813*s[8])/1782 + 
       (479729*s[9])/81 + (594091*s[10])/324 + (9221873*s[11])/1188 + 
       (2544559*s[12])/297 + (690401*s[13])/132 + (605909*s[14])/1188 + 
       (73597*s[15])/8 + (9328045*s[16])/792 + (10561543*s[17])/1188 + 
       (1028695*s[18])/972 + (1262825*s[19])/972 + (144573665*s[20])/10692 + 
       (50219141*s[21])/10692 - (19829801*s[22])/5346 - (2013049*s[23])/264 - 
       (168132953*s[24])/21384 + (968794235*s[25])/96228 - 
       (252720859*s[26])/48114 + 2*s[29] + (5*s[30])/3 - (14*s[31])/3 + 
       s[32]/2 + s[33]/12 + (40*s[34])/3 + (40*s[35])/3 + (575*s[36])/18 - 
       (115*s[37])/9 - (1685*s[38])/6 + (26893*s[39])/24 - (88619*s[40])/72 + 
       (22787*s[41])/24 - (115009*s[42])/72 - (785545*s[43])/792 + 
       (1733129*s[44])/1584 - (415111*s[45])/396 + (2250103*s[46])/264 - 
       (1468273*s[47])/4752 - (951163*s[48])/4752 + (22817059*s[49])/4752 - 
       (2676269*s[50])/396 - (4965647*s[51])/4752 - (3674039*s[52])/4752 + 
       (3699869*s[53])/792 + (48589*s[54])/132 + (46417313*s[55])/1584 + 
       (32952761*s[56])/4752 - (22091897*s[57])/3564 + 
       (542454367*s[58])/42768 - (568239241*s[59])/42768 - 
       (2029571425*s[60])/28512 + (1355156755*s[61])/384912 + (11*s[65])/6 + 
       (17*s[66])/3 - (28*s[67])/3 + (32*s[68])/3 - (64*s[69])/3 + 
       (5*s[70])/3 - (11*s[71])/6 - (26*s[72])/3 - (14*s[73])/3 + 
       (41*s[74])/6 - (41*s[75])/6 - 9*s[76] + (10*s[77])/3 - (49*s[78])/3 - 
       52*s[79] + (160*s[80])/9 - 116*s[82] - 2*s[83] - 8*s[85]) + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]^2*((-47*s[2])/12 + (559*s[3])/48 - 
       (16007*s[4])/96 - (439*s[5])/3 - (16483*s[6])/48 - (164299*s[7])/54 + 
       (318227*s[8])/1296 + (6719329*s[9])/2592 + (499151*s[10])/648 + 
       (361243*s[11])/108 + (6334955*s[12])/1728 + (3822149*s[13])/1728 + 
       (692353*s[14])/1728 + (859609*s[15])/216 + (8747237*s[16])/1728 + 
       (1105465*s[17])/288 + (2282293*s[18])/3888 + (2949241*s[19])/7776 + 
       (46937753*s[20])/7776 + (34706827*s[21])/15552 - 
       (25046339*s[22])/15552 - (388051*s[23])/108 - (12631673*s[24])/3888 + 
       (592795807*s[25])/139968 - (330239581*s[26])/139968 - s[29]/2 + 
       s[30]/4 - (8*s[31])/3 - s[32]/24 - (5*s[33])/12 + (43*s[34])/12 + 
       (37*s[35])/12 + (463*s[36])/72 - (1837*s[37])/144 - (2749*s[38])/24 + 
       (7339*s[39])/16 - (73277*s[40])/144 + (6401*s[41])/16 - 
       (192119*s[42])/288 - (643483*s[43])/1584 + (1322381*s[44])/3168 - 
       (1392035*s[45])/3168 + (11206627*s[46])/3168 - (1497715*s[47])/9504 - 
       (437689*s[48])/9504 + (4282819*s[49])/2376 - (2129627*s[50])/792 - 
       (2163247*s[51])/4752 - (3508751*s[52])/9504 + (2225227*s[53])/1188 - 
       (180337*s[54])/1584 + (12487885*s[55])/1056 + (1259491*s[56])/396 - 
       (5464105*s[57])/1584 + (79633255*s[58])/14256 - 
       (80539471*s[59])/14256 - (1636829353*s[60])/57024 + 
       (196395905*s[61])/128304 - s[65]/6 - (2*s[66])/3 + (5*s[67])/6 - 
       (7*s[68])/6 + (7*s[69])/3 - (2*s[70])/3 + (13*s[71])/24 - 
       (7*s[72])/6 - s[73]/2 + (13*s[74])/8 - (13*s[75])/8 + (17*s[76])/6 - 
       (17*s[77])/12 - (5*s[78])/3 - (239*s[79])/6 + (539*s[80])/72 - 
       9*s[82] + s[83]/2 - 21*s[84] - 8*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((25*s[2])/2 - (27*s[3])/2 - (1413*s[4])/4 + (4859*s[5])/132 - 
       (14921*s[6])/66 - (783583*s[7])/297 + (1314755*s[8])/3564 + 
       (337907*s[9])/162 + (126185*s[10])/324 + (7527011*s[11])/2376 + 
       (4737191*s[12])/1188 + (676663*s[13])/264 - (1825207*s[14])/2376 + 
       (25226*s[15])/9 + (3215315*s[16])/792 + (4582393*s[17])/2376 + 
       (269237*s[18])/972 + (250355*s[19])/486 + (22053833*s[20])/5346 + 
       (22481807*s[21])/21384 - (30038953*s[22])/21384 - 
       (1279529*s[23])/264 - (62508277*s[24])/21384 + 
       (446098837*s[25])/96228 - (93176723*s[26])/48114 + (10*s[29])/3 + 
       5*s[30] + (14*s[31])/3 - (25*s[32])/6 + (19*s[33])/12 - (20*s[34])/3 + 
       (58*s[35])/3 + (191*s[36])/18 - 20*s[37] - (1189*s[38])/6 + 
       (15773*s[39])/24 - (55643*s[40])/72 + (4793*s[41])/8 - 
       (63805*s[42])/72 - (557497*s[43])/792 + (1108817*s[44])/1584 - 
       (32785*s[45])/44 + (4394449*s[46])/792 - (336337*s[47])/4752 - 
       (1571131*s[48])/4752 + (14642587*s[49])/4752 - (1711133*s[50])/396 - 
       (2899175*s[51])/4752 - (2367119*s[52])/4752 + (6888371*s[53])/2376 - 
       (9145*s[54])/396 + (9993035*s[55])/528 + (22599265*s[56])/4752 - 
       (11564287*s[57])/3564 + (349799759*s[58])/42768 - 
       (360583217*s[59])/42768 - (1374395281*s[60])/28512 + 
       (866802023*s[61])/384912 - (5*s[65])/6 - s[66]/3 + (4*s[67])/3 + 
       (4*s[68])/3 + (16*s[69])/3 - (17*s[70])/3 + (5*s[71])/6 + 
       (10*s[72])/3 + (10*s[73])/3 - (3*s[74])/2 + (3*s[75])/2 - s[76]/3 + 
       (46*s[77])/3 + (31*s[78])/3 - 96*s[79] + (64*s[80])/3 - 42*s[82] - 
       2*s[83] - 8*s[84] - 8*s[85]) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^3*
      (-s[2] - (163*s[3])/32 - (6161*s[4])/96 - (18267*s[5])/352 - 
       (185337*s[6])/1408 - (14470319*s[7])/12672 + (3512095*s[8])/38016 + 
       (3317579*s[9])/3456 + (8501*s[10])/27 + (31516105*s[11])/25344 + 
       (34060157*s[12])/25344 + (1128763*s[13])/1408 + 
       (2296427*s[14])/12672 + (595189*s[15])/384 + (8230721*s[16])/4224 + 
       (39199637*s[17])/25344 + (2181955*s[18])/10368 + 
       (1794149*s[19])/10368 + (131436457*s[20])/57024 + 
       (96109295*s[21])/114048 - (8501585*s[22])/14256 - 
       (3525309*s[23])/2816 - (287750081*s[24])/228096 + 
       (3224525479*s[25])/2052864 - (1804791103*s[26])/2052864 - s[30]/8 - 
       s[31]/4 + s[32]/8 + s[33]/16 - s[34]/2 - s[35]/12 + (11*s[36])/6 - 
       (77*s[37])/24 - (259*s[38])/8 + (6557*s[39])/48 - (2487*s[40])/16 + 
       (7731*s[41])/64 - (38129*s[42])/192 - (2815*s[43])/22 + 
       (560321*s[44])/4224 - (87497*s[45])/528 + (644111*s[46])/528 - 
       (507205*s[47])/12672 - (420745*s[48])/12672 + (7338415*s[49])/12672 - 
       (165721*s[50])/176 - (1684333*s[51])/12672 - (1349621*s[52])/12672 + 
       (1405075*s[53])/2112 - (25555*s[54])/1056 + (54025183*s[55])/12672 + 
       (14375183*s[56])/12672 - (7923365*s[57])/9504 + 
       (210228937*s[58])/114048 - (214234963*s[59])/114048 - 
       (766087567*s[60])/76032 + (573410953*s[61])/1026432 - s[68]/4 + 
       s[69]/4 - s[72]/2 + (11*s[74])/24 - (11*s[75])/24 + (2*s[76])/3 - 
       s[77]/12 - s[78]/2 - 14*s[79] + (53*s[80])/12 - (145*s[82])/4 - 
       6*s[84] - 8*s[85]) + HPL[{0, 0, 1}, 1 - w]*Omega2[w, u, v]*
      ((-33*s[2])/2 + (105*s[3])/4 + (459*s[4])/8 - (11393*s[5])/44 - 
       (28393*s[6])/88 - (3894461*s[7])/1584 + (1861*s[8])/264 + 
       (27197*s[9])/12 + (10943*s[10])/12 + (1340099*s[11])/528 + 
       (103459*s[12])/44 + (2193007*s[13])/1584 + (687767*s[14])/528 + 
       (535283*s[15])/144 + (3429557*s[16])/792 + (6643655*s[17])/1584 + 
       (28175*s[18])/54 + (68479*s[19])/216 + (13845859*s[20])/2376 + 
       (12125497*s[21])/4752 - (2099591*s[22])/1584 - (534937*s[23])/792 - 
       (2333285*s[24])/792 + (57591173*s[25])/21384 - 
       (42910913*s[26])/21384 - 6*s[29] + 4*s[30] - 6*s[31] - 2*s[32] - 
       s[33] + 5*s[34] - s[35] - (25*s[36])/3 - (71*s[37])/6 - 57*s[38] + 
       145*s[39] - (467*s[40])/3 + 104*s[41] - (544*s[42])/3 - 
       (6403*s[43])/33 + (8405*s[44])/66 - (32257*s[45])/132 + 
       (200771*s[46])/132 - (4897*s[47])/198 - (18031*s[48])/198 + 
       (139783*s[49])/198 - (72263*s[50])/66 - (18983*s[51])/198 - 
       (20771*s[52])/198 + (318355*s[53])/396 - (1501*s[54])/33 + 
       (235223*s[55])/44 + (15732*s[56])/11 - (120661*s[57])/198 + 
       (653525*s[58])/297 - (2695421*s[59])/1188 - (30706073*s[60])/2376 + 
       (4569481*s[61])/7128 - s[65] - 3*s[66] + 6*s[67] + s[68] + 11*s[69] - 
       2*s[70] + s[71] + 2*s[72] - 6*s[73] - (5*s[74])/2 + (5*s[75])/2 + 
       8*s[76] - 7*s[77] + 8*s[78] - 16*s[79] - (11*s[80])/3 - 52*s[82] + 
       3*s[83] - 6*s[84] - 8*s[85]) + HPL[{0, 0, 1}, 1 - w]*Omega2[v, w, u]*
      ((-19*s[2])/2 + (39*s[3])/4 + (1409*s[4])/8 - (3833*s[5])/44 - 
       (719*s[6])/88 + (633349*s[7])/1584 - (460457*s[8])/2376 - 
       (23051*s[9])/108 + (14285*s[10])/108 - (906509*s[11])/1584 - 
       (383047*s[12])/396 - (923323*s[13])/1584 + (1182727*s[14])/1584 - 
       (25259*s[15])/144 - (383231*s[16])/792 + (174175*s[17])/528 - 
       (8309*s[18])/162 - (16081*s[19])/648 - (425197*s[20])/7128 + 
       (3511513*s[21])/14256 + (2892523*s[22])/14256 + (1973155*s[23])/792 + 
       (551147*s[24])/7128 - (70592455*s[25])/64152 + 
       (15804739*s[26])/64152 - 6*s[29] + 4*s[30] - 2*s[31] + (3*s[33])/2 - 
       3*s[34] - 3*s[35] - (61*s[36])/3 + (95*s[37])/6 + 63*s[38] - 
       (597*s[39])/2 + (1787*s[40])/6 - (469*s[41])/2 + (2713*s[42])/6 + 
       (8893*s[43])/66 - (13813*s[44])/66 + (3109*s[45])/132 - 
       (45651*s[46])/44 + (20380*s[47])/99 - (40783*s[48])/198 - 
       (76606*s[49])/99 + (49873*s[50])/66 + (60157*s[51])/198 + 
       (24476*s[52])/99 - (61277*s[53])/132 - (27*s[54])/11 - 
       (105405*s[55])/44 - (135775*s[56])/198 + (1171139*s[57])/297 - 
       (2117563*s[58])/891 + (8353945*s[59])/3564 + (16131307*s[60])/2376 - 
       (19021499*s[61])/64152 - s[65] - 7*s[66] + 10*s[67] + 7*s[68] + 
       15*s[69] - 2*s[70] + s[71] + 6*s[72] - 10*s[73] - (11*s[74])/2 + 
       (11*s[75])/2 - 3*s[77] + 16*s[78] + 8*s[79] + (11*s[80])/3 - 
       52*s[82] + 3*s[83] - 6*s[84] - 8*s[85]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*((-7*s[2])/4 - (19*s[3])/3 - 
       (751*s[4])/48 - (3737*s[5])/44 - (50645*s[6])/528 - 
       (20503933*s[7])/19008 + (85483*s[8])/3168 + (30709*s[9])/32 + 
       (109975*s[10])/288 + (7388053*s[11])/6336 + (1237387*s[12])/1056 + 
       (13282019*s[13])/19008 + (2058499*s[14])/6336 + (2749615*s[15])/1728 + 
       (18006955*s[16])/9504 + (30773365*s[17])/19008 + (490357*s[18])/2592 + 
       (279787*s[19])/1296 + (68945849*s[20])/28512 + 
       (55887215*s[21])/57024 - (11085623*s[22])/19008 - 
       (1355969*s[23])/2376 - (1458557*s[24])/1056 + (347757775*s[25])/
        256608 - (111338981*s[26])/128304 - (5*s[29])/3 + s[30]/3 - 
       (5*s[31])/3 - s[32]/8 + (7*s[33])/48 + (7*s[34])/6 - (11*s[35])/12 + 
       (31*s[36])/12 - (87*s[37])/8 - (431*s[38])/12 + (949*s[39])/12 - 
       (977*s[40])/12 + (1451*s[41])/24 - (8081*s[42])/96 - (1949*s[43])/22 + 
       (163193*s[44])/2112 - (80425*s[45])/1584 + (725689*s[46])/1584 - 
       (46975*s[47])/6336 - (40639*s[48])/6336 + (2457019*s[49])/6336 - 
       (44915*s[50])/132 - (87563*s[51])/2112 - (402833*s[52])/6336 + 
       (468199*s[53])/2376 + (146251*s[54])/1584 + (8650573*s[55])/6336 + 
       (3851623*s[56])/19008 - (10047601*s[57])/14256 + 
       (140917517*s[58])/171072 - (148217507*s[59])/171072 - 
       (18306053*s[60])/4224 + (117381359*s[61])/1539648 - (5*s[65])/12 - 
       (5*s[66])/3 + (5*s[67])/2 + 5*s[69] + 3*s[70] - (5*s[71])/12 + 
       (17*s[72])/6 - (25*s[73])/6 - (43*s[74])/24 + (55*s[75])/24 + 
       (5*s[76])/6 - (49*s[77])/12 + (19*s[78])/6 + (3*s[79])/2 - 
       (68*s[80])/9 - 102*s[82] + (23*s[83])/4 - (5*s[84])/2 - 8*s[85]) + 
     HPL[{0, 1}, 1 - w]*M1[w, v, u]*((-17*s[2])/4 + (77*s[3])/8 + 
       (1693*s[4])/16 + (1237*s[5])/66 + (43037*s[6])/528 + 
       (9057469*s[7])/9504 - (2020591*s[8])/14256 - (247553*s[9])/324 - 
       (111359*s[10])/648 - (9984055*s[11])/9504 - (722651*s[12])/594 - 
       (2274775*s[13])/3168 + (1251497*s[14])/9504 - (370801*s[15])/288 - 
       (312407*s[16])/198 - (10540817*s[17])/9504 - (35605*s[18])/243 - 
       (600107*s[19])/3888 - (71131763*s[20])/42768 - 
       (44332033*s[21])/85536 + (41591093*s[22])/85536 + 
       (1377719*s[23])/792 + (10041787*s[24])/10692 - 
       (565510037*s[25])/384912 + (271017221*s[26])/384912 - (5*s[29])/3 + 
       2*s[30] - (4*s[31])/3 - s[32]/6 + (23*s[33])/24 - (2*s[34])/3 + 
       (5*s[35])/6 - (59*s[36])/9 + 14*s[37] + (103*s[38])/3 - 
       (4333*s[39])/24 + (13255*s[40])/72 - (1103*s[41])/8 + 
       (20441*s[42])/72 + (82121*s[43])/792 - (49771*s[44])/396 + 
       (928*s[45])/11 - (740975*s[46])/792 + (296995*s[47])/2376 - 
       (42253*s[48])/297 - (1159693*s[49])/2376 + (69175*s[50])/99 + 
       (220441*s[51])/1188 + (351437*s[52])/2376 - (619919*s[53])/1188 + 
       (32333*s[54])/396 - (405605*s[55])/132 - (1900567*s[56])/2376 + 
       (12700519*s[57])/7128 - (36440597*s[58])/21384 + 
       (18991207*s[59])/10692 + (96837007*s[60])/14256 - 
       (137191603*s[61])/384912 - s[65]/3 - (4*s[66])/3 + (7*s[67])/3 + 
       (4*s[68])/3 + (10*s[69])/3 - (5*s[70])/3 + s[71]/3 + (7*s[72])/3 - 
       (11*s[73])/3 - (9*s[74])/4 + (9*s[75])/4 - (4*s[76])/3 - (7*s[77])/6 + 
       (19*s[78])/3 + 12*s[79] - (5*s[80])/3 - 18*s[82] + s[83] - 2*s[84] - 
       8*s[85]) + HPL[{0, 1}, 1 - v]*M1[v, w, u]*((37*s[2])/12 - 
       (505*s[3])/24 + (9701*s[4])/48 + (8017*s[5])/66 + (169145*s[6])/528 + 
       (28153291*s[7])/9504 - (3917687*s[8])/14256 - (203113*s[9])/81 - 
       (422335*s[10])/648 - (31524641*s[11])/9504 - (17770241*s[12])/4752 - 
       (21961321*s[13])/9504 - (1121639*s[14])/9504 - (3238937*s[15])/864 - 
       (22972643*s[16])/4752 - (10841693*s[17])/3168 - (506807*s[18])/972 - 
       (1488421*s[19])/3888 - (238421245*s[20])/42768 - 
       (170510981*s[21])/85536 + (134618713*s[22])/85536 + 
       (1187299*s[23])/297 + (33190277*s[24])/10692 - 
       (1667481007*s[25])/384912 + (880108501*s[26])/384912 - s[29] + 
       s[30]/2 + (10*s[31])/3 + s[32]/3 + (37*s[33])/12 - (43*s[34])/6 - 
       (37*s[35])/6 - (233*s[36])/18 + (563*s[37])/36 + (911*s[38])/6 - 
       (1693*s[39])/3 + (10889*s[40])/18 - (1409*s[41])/3 + 
       (58819*s[42])/72 + (46505*s[43])/99 - (188237*s[44])/396 + 
       (333127*s[45])/792 - (2933981*s[46])/792 + (531023*s[47])/2376 - 
       (77497*s[48])/2376 - (2469277*s[49])/1188 + (1102715*s[50])/396 + 
       (651119*s[51])/1188 + (543305*s[52])/1188 - (4589605*s[53])/2376 + 
       (40079*s[54])/396 - (9489883*s[55])/792 - (625237*s[56])/198 + 
       (460426*s[57])/99 - (43456009*s[58])/7128 + (22199333*s[59])/3564 + 
       (422326739*s[60])/14256 - (189290161*s[61])/128304 - s[65]/6 - 
       (2*s[66])/3 + (4*s[67])/3 + (7*s[68])/3 + s[69]/3 + s[70]/3 - 
       (5*s[71])/6 + (7*s[72])/3 - 3*s[73] - (13*s[74])/4 + (13*s[75])/4 - 
       (14*s[76])/3 + (5*s[77])/6 + (19*s[78])/3 + (98*s[79])/3 + 
       (71*s[80])/18 - 90*s[82] + s[83]/2 + 21*s[84] - 8*s[85]) + 
     HPL[{0, 1}, 1 - u]*M1[v, w, u]*((11*s[2])/12 - (145*s[3])/8 + 
       (9499*s[4])/48 + (14101*s[5])/132 + (148615*s[6])/528 + 
       (25899349*s[7])/9504 - (3753223*s[8])/14256 - (1487839*s[9])/648 - 
       (189223*s[10])/324 - (29063269*s[11])/9504 - (16487695*s[12])/4752 - 
       (2272049*s[13])/1056 - (267691*s[14])/9504 - (982237*s[15])/288 - 
       (1754195*s[16])/396 - (29462819*s[17])/9504 - (439921*s[18])/972 - 
       (1506401*s[19])/3888 - (214843793*s[20])/42768 - 
       (148876165*s[21])/85536 + (123749873*s[22])/85536 + 
       (659635*s[23])/176 + (122846635*s[24])/42768 - 
       (1557156077*s[25])/384912 + (795092003*s[26])/384912 - s[29] + 
       s[30]/2 + (8*s[31])/3 - s[32]/3 + (7*s[33])/6 - (35*s[34])/6 - 
       (35*s[35])/6 - (269*s[36])/18 + (47*s[37])/4 + (865*s[38])/6 - 
       (6377*s[39])/12 + (20545*s[40])/36 - (1765*s[41])/4 + 
       (55513*s[42])/72 + (168881*s[43])/396 - (700817*s[44])/1584 + 
       (104909*s[45])/264 - (2731411*s[46])/792 + (1051801*s[47])/4752 - 
       (257507*s[48])/4752 - (9036685*s[49])/4752 + (1037219*s[50])/396 + 
       (2561351*s[51])/4752 + (2111933*s[52])/4752 - (535639*s[53])/297 + 
       (25229*s[54])/198 - (17624833*s[55])/1584 - (13915615*s[56])/4752 + 
       (3970894*s[57])/891 - (244222289*s[58])/42768 + 
       (247644467*s[59])/42768 + (785818645*s[60])/28512 - 
       (537190541*s[61])/384912 - s[65]/6 - (2*s[66])/3 + (4*s[67])/3 + 
       (7*s[68])/3 + s[69]/3 + s[70]/3 - (5*s[71])/6 + (5*s[72])/3 - 
       (7*s[73])/3 - (37*s[74])/12 + (37*s[75])/12 - 4*s[76] + (7*s[77])/6 + 
       (13*s[78])/3 + 30*s[79] + (25*s[80])/6 - 90*s[82] + s[83]/2 + 
       21*s[84] - 8*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v]*((29*s[2])/2 - (167*s[3])/2 - (1229*s[4])/4 + 
       (497*s[5])/44 - (1916*s[6])/11 - (638083*s[7])/264 + 
       (82969*s[8])/297 + (50552*s[9])/27 + (20890*s[10])/27 + 
       (2137555*s[11])/792 + (602867*s[12])/198 + (1403161*s[13])/792 - 
       (40235*s[14])/792 + (255281*s[15])/72 + (1765595*s[16])/396 + 
       (2741965*s[17])/792 + (50521*s[18])/324 + (139405*s[19])/162 + 
       (16706651*s[20])/3564 + (9249613*s[21])/7128 - (8783717*s[22])/7128 - 
       (1059559*s[23])/396 - (11434351*s[24])/3564 + (238903141*s[25])/
        64152 - (109036633*s[26])/64152 + 4*s[29] - 3*s[30] + 14*s[31] + 
       s[32] + 3*s[33] - 24*s[34] + 8*s[35] + (25*s[36])/2 - (49*s[37])/6 - 
       56*s[38] + (1981*s[39])/8 - (2537*s[40])/8 + (1873*s[41])/8 - 
       (2743*s[42])/8 - (18955*s[43])/88 + (57389*s[44])/176 - 
       (25631*s[45])/132 + (484081*s[46])/264 - (2501*s[47])/528 - 
       (69227*s[48])/528 + (668075*s[49])/528 - (17958*s[50])/11 - 
       (108575*s[51])/528 - (63487*s[52])/528 + (783173*s[53])/792 + 
       (9173*s[54])/33 + (3391643*s[55])/528 + (2054939*s[56])/1584 - 
       (1413707*s[57])/1188 + (38562745*s[58])/14256 - 
       (41275327*s[59])/14256 - (18535195*s[60])/1056 + 
       (81205255*s[61])/128304 + s[65] + 4*s[66] - 6*s[67] + 13*s[68] - 
       15*s[69] + 2*s[70] - 3*s[71] - 2*s[72] + 6*s[73] + s[74]/2 - s[75]/2 - 
       10*s[76] + 18*s[77] - s[78] - 74*s[79] + (134*s[80])/3 - 184*s[82] - 
       3*s[83] + 30*s[84] - 8*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - v]*((-19*s[2])/6 - (63*s[3])/2 + (1549*s[4])/4 + 
       (3794*s[5])/33 + (53641*s[6])/132 + (3317689*s[7])/792 - 
       (101923*s[8])/198 - (31162*s[9])/9 - (5993*s[10])/9 - 
       (160102*s[11])/33 - (762067*s[12])/132 - (1446427*s[13])/396 + 
       (83101*s[14])/132 - (115937*s[15])/24 - (5202353*s[16])/792 - 
       (1572551*s[17])/396 - 652*s[18] - (20981*s[19])/36 - 
       (153675*s[20])/22 - (660194*s[21])/297 + (2638247*s[22])/1188 + 
       (5697535*s[23])/792 + (9908647*s[24])/2376 - (17964182*s[25])/2673 + 
       (16758967*s[26])/5346 - s[27]/3 - 4*s[29] + 3*s[30] + 6*s[31] - 
       s[32] - (7*s[33])/2 - 18*s[34] - (20*s[35])/3 - (577*s[36])/18 + 
       (269*s[37])/9 + 276*s[38] - (23911*s[39])/24 + (75169*s[40])/72 - 
       (6393*s[41])/8 + (102911*s[42])/72 + (620963*s[43])/792 - 
       (1285495*s[44])/1584 + (151417*s[45])/198 - (1715107*s[46])/264 + 
       (2090279*s[47])/4752 - (595459*s[48])/4752 - (16943345*s[49])/4752 + 
       (485788*s[50])/99 + (4714825*s[51])/4752 + (3890761*s[52])/4752 - 
       (899843*s[53])/264 + (3351*s[54])/22 - (11037025*s[55])/528 - 
       (26122267*s[56])/4752 + (29867335*s[57])/3564 - 
       (459861593*s[58])/42768 + (466129607*s[59])/42768 + 
       (1471623287*s[60])/28512 - (1022448467*s[61])/384912 + s[62]/3 - 
       s[65] - 4*s[66] + 6*s[67] + 7*s[68] + 5*s[69] + 2*s[70] - s[71] + 
       6*s[72] - 10*s[73] - (15*s[74])/2 + (15*s[75])/2 - 10*s[76] + 
       4*s[77] + 15*s[78] + (58*s[79])/3 + (169*s[80])/9 - 148*s[82] + 
       3*s[83] + 42*s[84] - 8*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - w]*((-131*s[2])/6 - (93*s[3])/4 + 
       (8657*s[4])/24 - (2312*s[5])/33 + (38861*s[6])/264 + 
       (11186495*s[7])/4752 - (2978309*s[8])/7128 - (584465*s[9])/324 - 
       (32329*s[10])/81 - (12894227*s[11])/4752 - (7942445*s[12])/2376 - 
       (3270629*s[13])/1584 + (3874099*s[14])/4752 - (133885*s[15])/48 - 
       (1500325*s[16])/396 - (10241917*s[17])/4752 - (35140*s[18])/243 - 
       (1171207*s[19])/1944 - (76153315*s[20])/21384 - 
       (29153699*s[21])/42768 + (52367995*s[22])/42768 + 
       (3465071*s[23])/792 + (53742113*s[24])/21384 - 
       (787328965*s[25])/192456 + (297637183*s[26])/192456 - 8*s[29] + 
       s[30] - (34*s[31])/3 - s[32]/3 - (28*s[33])/3 + (29*s[34])/3 - 
       (16*s[35])/3 - (377*s[36])/18 - (85*s[37])/6 + (437*s[38])/3 - 
       (14911*s[39])/24 + (50009*s[40])/72 - (4777*s[41])/8 + 
       (66511*s[42])/72 + (436483*s[43])/792 - (965759*s[44])/1584 + 
       (71975*s[45])/132 - (3712579*s[46])/792 + (690883*s[47])/4752 + 
       (413353*s[48])/4752 - (12551293*s[49])/4752 + (382787*s[50])/99 + 
       (3165197*s[51])/4752 + (2050409*s[52])/4752 - (6422309*s[53])/2376 - 
       (49081*s[54])/198 - (26324431*s[55])/1584 - (18019879*s[56])/4752 + 
       (5240273*s[57])/1782 - (288076289*s[58])/42768 + 
       (309724115*s[59])/42768 + (1116863575*s[60])/28512 - 
       (721980473*s[61])/384912 + 2*s[64] + s[65]/3 - (14*s[66])/3 + 
       (16*s[67])/3 - (8*s[68])/3 + (46*s[69])/3 + s[70]/3 - (7*s[71])/3 + 
       (14*s[72])/3 - (34*s[73])/3 - (47*s[74])/6 + (47*s[75])/6 + 6*s[76] - 
       (13*s[77])/3 + (55*s[78])/3 + 68*s[79] - (5*s[80])/3 - 168*s[82] + 
       5*s[83] + 54*s[84] - 8*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*((-11*s[2])/3 + 
       (145*s[3])/12 + (27431*s[4])/24 + (36953*s[5])/66 + 
       (439991*s[6])/264 + (24952429*s[7])/1584 - (10828033*s[8])/7128 - 
       (4251703*s[9])/324 - (307520*s[10])/81 - (83256289*s[11])/4752 - 
       (46672291*s[12])/2376 - (56403625*s[13])/4752 - (3518623*s[14])/4752 - 
       (8829785*s[15])/432 - (62468933*s[16])/2376 - (91229431*s[17])/4752 - 
       (1322125*s[18])/486 - (4689569*s[19])/1944 - (642778217*s[20])/21384 - 
       (448947661*s[21])/42768 + (353667833*s[22])/42768 + 
       (12271159*s[23])/594 + (90585133*s[24])/5346 - 
       (1102148153*s[25])/48114 + (289061860*s[26])/24057 - s[27]/3 - 
       7*s[29] + 5*s[30] - 5*s[31] - (8*s[32])/3 - (37*s[33])/6 - 3*s[34] - 
       (68*s[35])/3 - (1135*s[36])/18 + (389*s[37])/6 + (1915*s[38])/3 - 
       (62839*s[39])/24 + (205849*s[40])/72 - (17857*s[41])/8 + 
       (276953*s[42])/72 + (1675691*s[43])/792 - (3619765*s[44])/1584 + 
       (89941*s[45])/44 - (14120099*s[46])/792 + (5000777*s[47])/4752 - 
       (821281*s[48])/4752 - (46144607*s[49])/4752 + (2698193*s[50])/198 + 
       (12452323*s[51])/4752 + (10089559*s[52])/4752 - 
       (22281859*s[53])/2376 + (32792*s[54])/99 - (92173589*s[55])/1584 - 
       (72384341*s[56])/4752 + (19295204*s[57])/891 - 
       (1245629287*s[58])/42768 + (1265128705*s[59])/42768 + 
       (4074032573*s[60])/28512 - (2832046777*s[61])/384912 + (2*s[62])/3 - 
       (5*s[65])/3 - (20*s[66])/3 + (34*s[67])/3 + (31*s[68])/3 + 
       (43*s[69])/3 - (2*s[70])/3 + (40*s[72])/3 - 16*s[73] - 17*s[74] + 
       17*s[75] - (16*s[76])/3 - (2*s[77])/3 + (97*s[78])/3 + (584*s[79])/3 - 
       (106*s[80])/3 - 130*s[82] + 5*s[83] + 78*s[84] - 8*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      ((-79*s[2])/6 + (109*s[3])/2 + (6781*s[4])/6 + (32077*s[5])/66 + 
       (206407*s[6])/132 + (11689177*s[7])/792 - (5157355*s[8])/3564 - 
       (3961127*s[9])/324 - (1144303*s[10])/324 - (19581671*s[11])/1188 - 
       (44089547*s[12])/2376 - (26757433*s[13])/2376 - (978865*s[14])/2376 - 
       (4101971*s[15])/216 - (7306058*s[16])/297 - (21151589*s[17])/1188 - 
       (603139*s[18])/243 - (2338223*s[19])/972 - (74376914*s[20])/2673 - 
       (203756455*s[21])/21384 + (165141749*s[22])/21384 + 
       (46299197*s[23])/2376 + (341127491*s[24])/21384 - 
       (2090178341*s[25])/96228 + (1074560453*s[26])/96228 - 8*s[29] + 
       5*s[30] - (4*s[31])/3 - (23*s[32])/6 - (67*s[33])/12 - (17*s[34])/3 - 
       (28*s[35])/3 - 57*s[36] + (592*s[37])/9 + (1828*s[38])/3 - 
       (7267*s[39])/3 + (7930*s[40])/3 - (12347*s[41])/6 + 3531*s[42] + 
       (66161*s[43])/33 - (70189*s[44])/33 + (388523*s[45])/198 - 
       (3325823*s[46])/198 + (368957*s[47])/396 - (3679*s[48])/396 - 
       (3626927*s[49])/396 + (849239*s[50])/66 + (960577*s[51])/396 + 
       (194056*s[52])/99 - (5236141*s[53])/594 + (56233*s[54])/198 - 
       (21654845*s[55])/396 - (17008909*s[56])/1188 + (34933541*s[57])/1782 - 
       (290905193*s[58])/10692 + (294307895*s[59])/10692 + 
       (321716959*s[60])/2376 - (167795288*s[61])/24057 - (5*s[65])/3 - 
       (20*s[66])/3 + (34*s[67])/3 + (28*s[68])/3 + (49*s[69])/3 + 
       (4*s[70])/3 - s[71]/3 + (32*s[72])/3 - (46*s[73])/3 - (40*s[74])/3 + 
       (40*s[75])/3 - 9*s[76] - (4*s[77])/3 + (64*s[78])/3 + 156*s[79] - 
       (235*s[80])/9 - 130*s[82] + 5*s[83] + 78*s[84] - 8*s[85]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      ((619*s[2])/48 - (3469*s[3])/96 - (100723*s[4])/192 - 
       (34631*s[5])/264 - (1284473*s[6])/2112 - (223575521*s[7])/38016 + 
       (37443037*s[8])/57024 + (1549331*s[9])/324 + (1756651*s[10])/1296 + 
       (251609059*s[11])/38016 + (71917361*s[12])/9504 + 
       (174315701*s[13])/38016 - (8050001*s[14])/38016 + 
       (25889659*s[15])/3456 + (46712491*s[16])/4752 + 
       (87385219*s[17])/12672 + (7104863*s[18])/7776 + 
       (16211411*s[19])/15552 + (1839759125*s[20])/171072 + 
       (1195651777*s[21])/342144 - (1047325601*s[22])/342144 - 
       (40175645*s[23])/4752 - (271221133*s[24])/42768 + 
       (6871131079*s[25])/769824 - (1688979311*s[26])/384912 + (37*s[29])/6 - 
       (89*s[30])/24 + (5*s[31])/2 + (41*s[32])/24 + (45*s[33])/16 + 
       (55*s[34])/24 + (47*s[35])/8 + (1171*s[36])/36 - (833*s[37])/36 - 
       (5741*s[38])/24 + (98275*s[39])/96 - (322217*s[40])/288 + 
       (84731*s[41])/96 - (433723*s[42])/288 - (2708719*s[43])/3168 + 
       (2973763*s[44])/3168 - (1386455*s[45])/1584 + (23490791*s[46])/3168 - 
       (3401213*s[47])/9504 - (13792*s[48])/297 + (38126765*s[49])/9504 - 
       (9087971*s[50])/1584 - (4819247*s[51])/4752 - (936275*s[52])/1188 + 
       (4728353*s[53])/1188 - (8137*s[54])/792 + (541589*s[55])/22 + 
       (2236129*s[56])/352 - (73798331*s[57])/9504 + (333968753*s[58])/
        28512 - (170856409*s[59])/14256 - (3421202555*s[60])/57024 + 
       (19792241*s[61])/6336 + (4*s[65])/3 + (16*s[66])/3 - (53*s[67])/6 - 
       (11*s[68])/6 - (49*s[69])/3 - s[70]/3 - (27*s[72])/4 + (45*s[73])/4 + 
       (121*s[74])/16 - (121*s[75])/16 + (53*s[76])/12 + (133*s[77])/24 - 
       (63*s[78])/4 - 54*s[79] + (23*s[80])/9 - 21*s[82] - 4*s[83] - 
       (55*s[84])/2 - 7*s[85]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^2*((31*s[2])/48 - (2323*s[3])/288 + (30139*s[4])/288 + 
       (255439*s[5])/3168 + (746245*s[6])/4224 + (3565739*s[7])/2112 - 
       (16149145*s[8])/114048 - (15013865*s[9])/10368 - 
       (2087423*s[10])/5184 - (141339631*s[11])/76032 - 
       (156089381*s[12])/76032 - (2944511*s[13])/2376 - (745711*s[14])/4752 - 
       (946741*s[15])/432 - (105673175*s[16])/38016 - 
       (157436731*s[17])/76032 - (10193605*s[18])/31104 - 
       (6236861*s[19])/31104 - (564884875*s[20])/171072 - 
       (12986029*s[21])/10692 + (307118413*s[22])/342144 + 
       (166497377*s[23])/76032 + (1190852177*s[24])/684288 - 
       (14625987703*s[25])/6158592 + (8038958767*s[26])/6158592 + 
       (5*s[30])/24 + s[31] - (7*s[32])/72 + (7*s[33])/12 - (89*s[34])/24 - 
       (127*s[35])/72 - (337*s[36])/72 + (2207*s[37])/216 + 
       (9875*s[38])/144 - (9007*s[39])/32 + (88667*s[40])/288 - 
       (138293*s[41])/576 + (239375*s[42])/576 + (670003*s[43])/3168 - 
       (981991*s[44])/4224 + (344759*s[45])/1584 - (5930759*s[46])/3168 + 
       (4965977*s[47])/38016 - (2292703*s[48])/38016 - 
       (36402161*s[49])/38016 + (743693*s[50])/528 + (3646349*s[51])/12672 + 
       (9192493*s[52])/38016 - (2051309*s[53])/2112 + (17639*s[54])/176 - 
       (230071751*s[55])/38016 - (62639293*s[56])/38016 + 
       (72948415*s[57])/28512 - (1080638927*s[58])/342144 + 
       (1082313917*s[59])/342144 + (3353309561*s[60])/228096 - 
       (2389862921*s[61])/3079296 + (13*s[68])/18 - (13*s[69])/18 - s[71]/4 + 
       (13*s[72])/12 + s[73]/4 - (29*s[74])/16 + (29*s[75])/16 - 
       (19*s[76])/12 + (25*s[77])/72 + (17*s[78])/12 + (163*s[79])/6 - 
       (293*s[80])/72 - (1235*s[82])/24 + (25*s[84])/2 - (20*s[85])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*
      ((229*s[2])/144 - (637*s[3])/96 + (8843*s[4])/96 + (5174*s[5])/99 + 
       (537683*s[6])/4224 + (82385*s[7])/66 - (4604719*s[8])/38016 - 
       (3646199*s[9])/3456 - (58087*s[10])/216 - (35010121*s[11])/25344 - 
       (39372053*s[12])/25344 - (11904011*s[13])/12672 - (61911*s[14])/1408 - 
       (2778037*s[15])/1728 - (6478157*s[16])/3168 - (37348573*s[17])/25344 - 
       (2416039*s[18])/10368 - (1523561*s[19])/10368 - 
       (33711901*s[20])/14256 - (96189557*s[21])/114048 + 
       (18846967*s[22])/28512 + (46537619*s[23])/25344 + 
       (289474079*s[24])/228096 - (3702027115*s[25])/2052864 + 
       (1959517783*s[26])/2052864 + (5*s[30])/24 + (29*s[31])/18 - 
       (5*s[32])/12 + (5*s[33])/8 - (145*s[34])/72 - (181*s[35])/72 - 
       (515*s[36])/108 + (1115*s[37])/108 + (3857*s[38])/72 - 
       (8195*s[39])/36 + (26999*s[40])/108 - (37051*s[41])/192 + 
       (590653*s[42])/1728 + (787225*s[43])/4752 - (3443119*s[44])/19008 + 
       (1434733*s[45])/9504 - (4443199*s[46])/3168 + (3239377*s[47])/28512 - 
       (2003795*s[48])/28512 - (21123613*s[49])/28512 + 
       (5008837*s[50])/4752 + (3279349*s[51])/14256 + 
       (11199325*s[52])/57024 - (2333761*s[53])/3168 + (42257*s[54])/396 - 
       (42755863*s[55])/9504 - (70939159*s[56])/57024 + 
       (93097111*s[57])/42768 - (155668375*s[58])/64152 + 
       (1256911955*s[59])/513216 + (3725472815*s[60])/342144 - 
       (5278343221*s[61])/9237888 + (13*s[68])/18 - (13*s[69])/18 + 
       (11*s[72])/12 - (23*s[73])/12 - (193*s[74])/144 + (193*s[75])/144 - 
       (41*s[76])/18 + (31*s[77])/72 + (73*s[78])/36 + (229*s[79])/9 - 
       (164*s[80])/27 - (1223*s[82])/24 + (25*s[84])/2 - (20*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((-43*s[2])/18 + (905*s[3])/24 + (74113*s[4])/144 + (95189*s[5])/264 + 
       (1325653*s[6])/1584 + (12092557*s[7])/1584 - (8686367*s[8])/14256 - 
       (8388229*s[9])/1296 - (2430887*s[10])/1296 - (80018267*s[11])/9504 - 
       (88032613*s[12])/9504 - (52679753*s[13])/9504 - (1885775*s[14])/2376 - 
       (4369081*s[15])/432 - (60846799*s[16])/4752 - (46242805*s[17])/4752 - 
       (11507851*s[18])/7776 - (8133653*s[19])/7776 - 
       (1288631735*s[20])/85536 - (119008391*s[21])/21384 + 
       (171221609*s[22])/42768 + (93122551*s[23])/9504 + 
       (690382369*s[24])/85536 - (1032158641*s[25])/96228 + 
       (1144139345*s[26])/192456 + s[30]/3 - (2*s[31])/9 + (11*s[32])/12 + 
       (35*s[33])/24 - (56*s[34])/9 + (22*s[35])/9 - (1859*s[36])/108 + 
       (4027*s[37])/216 + (7241*s[38])/24 - (18153*s[39])/16 + 
       (533711*s[40])/432 - (46585*s[41])/48 + (706747*s[42])/432 + 
       (4533589*s[43])/4752 - (2318837*s[44])/2376 + (2322319*s[45])/2376 - 
       (12648169*s[46])/1584 + (3063013*s[47])/7128 - (24859*s[48])/891 - 
       (122559907*s[49])/28512 + (7245433*s[50])/1188 + 
       (31446983*s[51])/28512 + (13134145*s[52])/14256 - 
       (10004125*s[53])/2376 + (124235*s[54])/1584 - (125071495*s[55])/4752 - 
       (193516877*s[56])/28512 + (48262517*s[57])/5346 - 
       (3312411211*s[58])/256608 + (3384862993*s[59])/256608 + 
       (11029605163*s[60])/171072 - (7613813857*s[61])/2309472 - s[65]/3 - 
       3*s[66] + 5*s[67] - (29*s[68])/18 + (191*s[69])/18 + (2*s[70])/3 - 
       3*s[71] + (20*s[72])/3 - (23*s[73])/2 - (107*s[74])/18 + 
       (55*s[75])/9 - (25*s[76])/9 - (119*s[77])/18 + (83*s[78])/18 + 
       (640*s[79])/9 - (32*s[80])/27 - (638*s[82])/3 + s[83] + 38*s[84] - 
       (20*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - u]*
      ((-3*s[2])/4 - 5*s[3] - (967*s[4])/96 - (9497*s[5])/1056 - 
       (13313*s[6])/528 - (1511267*s[7])/6336 + (62995*s[8])/4752 + 
       (85925*s[9])/432 + (4421*s[10])/54 + (1590881*s[11])/6336 + 
       (1676665*s[12])/6336 + (73043*s[13])/528 + (259423*s[14])/3168 + 
       (193747*s[15])/576 + (292821*s[16])/704 + (2137681*s[17])/6336 + 
       (172037*s[18])/2592 + (12763*s[19])/648 + (3907597*s[20])/7128 + 
       (3005279*s[21])/14256 - (1743319*s[22])/14256 - (59391*s[23])/352 - 
       (7566431*s[24])/28512 + (73812613*s[25])/256608 - 
       (48393337*s[26])/256608 + s[32]/4 + (28*s[37])/9 + (19*s[38])/24 + 
       (347*s[39])/48 - (491*s[40])/48 + (1675*s[41])/96 - (1601*s[42])/96 - 
       (12409*s[43])/528 + (13659*s[44])/704 - (3055*s[45])/88 + 
       (131513*s[46])/528 + (3797*s[47])/704 - (25639*s[48])/704 + 
       (202591*s[49])/2112 - (207871*s[50])/1056 - (100391*s[51])/6336 - 
       (14071*s[52])/2112 + (140489*s[53])/1056 - (653*s[54])/132 + 
       (5712599*s[55])/6336 + (526979*s[56])/2112 + (109895*s[57])/792 + 
       (5554279*s[58])/19008 - (5362327*s[59])/19008 - (3075497*s[60])/1408 + 
       (7421251*s[61])/57024 + s[68]/2 - s[69]/2 + s[77]/2 - (117*s[82])/4 - 
       6*s[85]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((-43*s[2])/36 + (27*s[3])/16 - (74195*s[4])/288 - 
       (81079*s[5])/396 - (1476121*s[6])/3168 - (126395077*s[7])/28512 + 
       (30978457*s[8])/85536 + (7247513*s[9])/1944 + (4657217*s[10])/3888 + 
       (280208461*s[11])/57024 + (38480479*s[12])/7128 + 
       (186892967*s[13])/57024 + (29956687*s[14])/57024 + 
       (15234701*s[15])/2592 + (429411215*s[16])/57024 + 
       (36702895*s[17])/6336 + (15951571*s[18])/23328 + 
       (9774151*s[19])/11664 + (2242107083*s[20])/256608 + 
       (1569400693*s[21])/513216 - (1200488111*s[22])/513216 - 
       (265107433*s[23])/57024 - (2612733005*s[24])/513216 + 
       (14620628819*s[25])/2309472 - (3865387321*s[26])/1154736 + 
       (13*s[29])/6 - (7*s[30])/12 + (2*s[31])/9 - s[32]/8 + (107*s[33])/36 + 
       (11*s[34])/36 + (65*s[35])/36 + (533*s[36])/54 - (6851*s[37])/432 - 
       (12371*s[38])/72 + (10789*s[39])/18 - (35621*s[40])/54 + 
       (7889*s[41])/16 - (697789*s[42])/864 - (645419*s[43])/1188 + 
       (5591815*s[44])/9504 - (6437503*s[45])/9504 + (47672285*s[46])/9504 - 
       (4114205*s[47])/28512 - (4844561*s[48])/28512 + 
       (37526461*s[49])/14256 - (9280291*s[50])/2376 - 
       (7700861*s[51])/14256 - (12286279*s[52])/28512 + 
       (38692883*s[53])/14256 + (238105*s[54])/4752 + (54964823*s[55])/3168 + 
       (2580065*s[56])/594 - (44649911*s[57])/14256 + (26493085*s[58])/3564 - 
       (108813215*s[59])/14256 - (7251983825*s[60])/171072 + 
       (1667340295*s[61])/769824 + (7*s[65])/18 + (14*s[66])/9 - 
       (53*s[67])/18 - (20*s[68])/9 - (25*s[69])/6 - (4*s[70])/9 - 
       (61*s[71])/72 - (23*s[72])/18 + (19*s[73])/6 + (65*s[74])/24 - 
       (65*s[75])/24 + (25*s[76])/18 - (59*s[77])/36 - (46*s[78])/9 - 
       (865*s[79])/18 + (4477*s[80])/216 - (473*s[82])/3 - (7*s[83])/6 - 
       17*s[84] - 6*s[85]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - u]*((7*s[2])/6 + (47*s[3])/8 - (2369*s[4])/288 - 
       (607*s[5])/144 - (2389*s[6])/192 - (93353*s[7])/576 + 
       (245009*s[8])/5184 + (705701*s[9])/5184 + (71927*s[10])/2592 + 
       (643271*s[11])/3456 + (863923*s[12])/3456 + (186145*s[13])/1728 - 
       (208121*s[14])/1728 + (72083*s[15])/576 + (429289*s[16])/1728 + 
       (250631*s[17])/3456 + (1687525*s[18])/15552 - (935581*s[19])/15552 + 
       (469511*s[20])/1944 + (2060197*s[21])/15552 - (335303*s[22])/3888 - 
       (2457535*s[23])/3456 - (354535*s[24])/31104 + 
       (66109337*s[25])/279936 - (39324545*s[26])/279936 + (4*s[29])/3 - 
       s[30]/3 + s[31] - (10*s[32])/3 + (17*s[33])/6 - (7*s[34])/3 - 
       3*s[35] + (2*s[36])/9 + (121*s[37])/36 + (61*s[38])/72 + 
       (7561*s[39])/144 - (2291*s[40])/48 + (10733*s[41])/288 - 
       (29117*s[42])/288 - (11773*s[43])/1584 + (96619*s[44])/6336 - 
       (5*s[45])/176 + (16945*s[46])/88 - (956143*s[47])/19008 + 
       (1567169*s[48])/19008 + (1214887*s[49])/19008 - (113765*s[50])/792 - 
       (1078345*s[51])/19008 - (764771*s[52])/19008 + (364883*s[53])/3168 + 
       (7333*s[54])/132 + (6572209*s[55])/19008 + (2060615*s[56])/19008 - 
       (17833451*s[57])/14256 + (97869421*s[58])/171072 - 
       (88765759*s[59])/171072 - (66796351*s[60])/114048 + 
       (185636659*s[61])/1539648 + s[65]/3 + (4*s[66])/3 - 2*s[67] - 
       (17*s[68])/6 - (7*s[69])/6 - (5*s[70])/6 - s[71]/3 - (2*s[72])/3 - 
       2*s[73] - s[74]/4 + s[75]/4 - (5*s[77])/6 - s[78]/3 + 12*s[79] - 
       (11*s[80])/6 - (361*s[82])/12 - s[83] + 6*s[84] - 6*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*
      ((-35*s[2])/4 - (5*s[3])/12 - (1685*s[4])/96 + (39383*s[5])/1584 + 
       (30619*s[6])/2112 - (1736929*s[7])/19008 + (2834899*s[8])/57024 + 
       (259505*s[9])/5184 - (18109*s[10])/648 + (5914561*s[11])/38016 + 
       (10971947*s[12])/38016 + (44764*s[13])/297 - (2506475*s[14])/9504 - 
       (3029*s[15])/64 + (860999*s[16])/9504 - (2781797*s[17])/12672 + 
       (564829*s[18])/15552 - (330547*s[19])/15552 - (379979*s[20])/85536 - 
       (4636319*s[21])/85536 - (8697631*s[22])/171072 - 
       (27404401*s[23])/38016 - (7247909*s[24])/342144 + 
       (865551145*s[25])/3079296 - (207978709*s[26])/3079296 + (4*s[29])/3 + 
       (2*s[30])/3 - 4*s[31] + (5*s[32])/12 - (23*s[33])/12 + (14*s[34])/3 + 
       (29*s[35])/3 + 7*s[36] + (83*s[37])/36 - (485*s[38])/36 + 
       (3905*s[39])/48 - (1251*s[40])/16 + (1883*s[41])/32 - 
       (34679*s[42])/288 - (95627*s[43])/1584 + (5285*s[44])/88 - 
       (82835*s[45])/1584 + (391913*s[46])/792 - (319591*s[47])/9504 + 
       (44927*s[48])/9504 + (3034297*s[49])/9504 - (35921*s[50])/99 - 
       (133789*s[51])/3168 - (75511*s[52])/1188 + (71569*s[53])/297 + 
       (7762*s[54])/99 + (12806105*s[55])/9504 + (557405*s[56])/1584 - 
       (1298155*s[57])/1188 + (2953429*s[58])/3168 - (4337279*s[59])/4752 - 
       (104135825*s[60])/28512 + (128065159*s[61])/513216 + s[65]/3 + 
       (4*s[66])/3 - 2*s[67] - (7*s[68])/3 - (5*s[69])/3 - (7*s[70])/3 - 
       s[71]/3 - (2*s[72])/3 + 2*s[73] + s[74]/3 - s[75]/3 + 2*s[76] + 
       (2*s[77])/3 - (20*s[78])/3 + (68*s[79])/3 - (59*s[80])/6 - 
       (341*s[82])/12 - s[83] + 6*s[84] - 6*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
      ((-23*s[2])/18 + (7*s[3])/36 - (7115*s[4])/72 - (38011*s[5])/396 - 
       (202061*s[6])/1056 - (55061593*s[7])/28512 + (13203409*s[8])/85536 + 
       (12897821*s[9])/7776 + (2046527*s[10])/3888 + (120285469*s[11])/
        57024 + (131104823*s[12])/57024 + (19133339*s[13])/14256 + 
       (6945617*s[14])/28512 + (6604373*s[15])/2592 + 
       (92505817*s[16])/28512 + (47488327*s[17])/19008 + 
       (4624643*s[18])/11664 + (1444187*s[19])/5832 + 
       (1003934867*s[20])/256608 + (92947055*s[21])/64152 - 
       (262885285*s[22])/256608 - (134394313*s[23])/57024 - 
       (1037585111*s[24])/513216 + (12232240111*s[25])/4618944 - 
       (6872635711*s[26])/4618944 - s[30]/36 - (13*s[31])/18 - (5*s[32])/24 - 
       s[33]/12 + (31*s[34])/18 + (5*s[35])/3 + (919*s[36])/216 - 
       (89*s[37])/18 - (1493*s[38])/24 + (8705*s[39])/32 - 
       (262471*s[40])/864 + (21917*s[41])/96 - (344531*s[42])/864 - 
       (1955645*s[43])/9504 + (2293241*s[44])/9504 - (70888*s[45])/297 + 
       (18387031*s[46])/9504 - (3161047*s[47])/28512 + (449785*s[48])/14256 + 
       (27787669*s[49])/28512 - (438946*s[50])/297 - (1939343*s[51])/7128 - 
       (1591217*s[52])/7128 + (28833089*s[53])/28512 - (10985*s[54])/2376 + 
       (14958289*s[55])/2376 + (5319191*s[56])/3168 - 
       (71726335*s[57])/28512 + (137920385*s[58])/42768 - 
       (68659465*s[59])/21384 - (2629531591*s[60])/171072 + 
       (35741507*s[61])/42768 - (23*s[68])/18 + (23*s[69])/18 - (4*s[70])/9 + 
       s[71]/8 - s[72] - s[73] + (13*s[74])/9 - (13*s[75])/9 + (7*s[76])/9 - 
       (5*s[77])/9 - (7*s[78])/9 - (151*s[79])/6 + (163*s[80])/27 - 
       (329*s[82])/12 - 12*s[84] - (16*s[85])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*
      ((-37*s[2])/24 - (523*s[3])/48 - (35327*s[4])/96 - (505481*s[5])/2112 - 
       (442265*s[6])/704 - (495149*s[7])/88 + (29028797*s[8])/57024 + 
       (24463363*s[9])/5184 + (7239551*s[10])/5184 + (118318135*s[11])/
        19008 + (131026865*s[12])/19008 + (39625787*s[13])/9504 + 
       (5050043*s[14])/9504 + (12779867*s[15])/1728 + (44968417*s[16])/4752 + 
       (33837637*s[17])/4752 + (15735803*s[18])/15552 + 
       (6332513*s[19])/7776 + (469169155*s[20])/42768 + 
       (673726069*s[21])/171072 - (252876835*s[22])/85536 - 
       (67327087*s[23])/9504 - (518022403*s[24])/85536 + 
       (24724706153*s[25])/3079296 - (13328649149*s[26])/3079296 + 
       (5*s[29])/6 - (17*s[30])/12 - (7*s[31])/3 - s[32]/8 - (35*s[33])/32 + 
       (29*s[34])/24 + (5*s[35])/24 + (479*s[36])/24 - (8347*s[37])/288 - 
       (10199*s[38])/48 + (84835*s[39])/96 - (93995*s[40])/96 + 
       (8993*s[41])/12 - (62041*s[42])/48 - (777617*s[43])/1056 + 
       (212819*s[44])/264 - (4916999*s[45])/6336 + (40754195*s[46])/6336 - 
       (352031*s[47])/1056 - (933*s[48])/88 + (1192959*s[49])/352 - 
       (1297073*s[50])/264 - (912761*s[51])/1056 - (241581*s[52])/352 + 
       (64970749*s[53])/19008 - (445157*s[54])/3168 + (5662357*s[55])/264 + 
       (27119447*s[56])/4752 - (24840449*s[57])/3564 + 
       (1768930501*s[58])/171072 - (899697665*s[59])/85536 - 
       (1980968797*s[60])/38016 + (8396401349*s[61])/3079296 - s[62]/16 + 
       s[65]/4 + s[66] - (4*s[67])/3 - (19*s[68])/12 - (7*s[69])/12 + 
       (5*s[70])/3 - (49*s[71])/48 - 4*s[72] + (4*s[73])/3 + (37*s[74])/8 - 
       (37*s[75])/8 + 8*s[76] - (7*s[77])/12 - (15*s[78])/2 - (155*s[79])/2 + 
       (2717*s[80])/144 - 66*s[82] - (3*s[83])/4 - (65*s[84])/2 - 5*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w]^2*((-25*s[2])/16 - (229*s[3])/32 - 
       (12731*s[4])/64 - (13261*s[5])/96 - (67129*s[6])/192 - 
       (3645967*s[7])/1152 + (1323295*s[8])/5184 + (6911585*s[9])/2592 + 
       (1071743*s[10])/1296 + (12015223*s[11])/3456 + (6552829*s[12])/1728 + 
       (7938643*s[13])/3456 + (1284733*s[14])/3456 + (14731225*s[15])/3456 + 
       (9266513*s[16])/1728 + (14319373*s[17])/3456 + (4246309*s[18])/7776 + 
       (7783501*s[19])/15552 + (97344719*s[20])/15552 + 
       (70402171*s[21])/31104 - (51706619*s[22])/31104 - 
       (3175553*s[23])/864 - (6814295*s[24])/1944 + (77857393*s[25])/17496 - 
       (170349451*s[26])/69984 - s[29]/2 - (3*s[30])/8 - s[31] - s[32]/8 - 
       (13*s[33])/8 + (13*s[34])/8 + (17*s[35])/8 + (251*s[36])/24 - 
       (895*s[37])/144 - (2839*s[38])/24 + (10883*s[39])/24 - 
       (4003*s[40])/8 + (18845*s[41])/48 - (5211*s[42])/8 - 
       (36281*s[43])/88 + (442229*s[44])/1056 - (1364927*s[45])/3168 + 
       (10971461*s[46])/3168 - (429025*s[47])/3168 - (214393*s[48])/3168 + 
       (5806711*s[49])/3168 - (1400435*s[50])/528 - (1364287*s[51])/3168 - 
       (1115729*s[52])/3168 + (17637145*s[53])/9504 - (97301*s[54])/1584 + 
       (6198679*s[55])/528 + (29132969*s[56])/9504 - (90040439*s[57])/28512 + 
       (462396361*s[58])/85536 - (238178045*s[59])/42768 - 
       (135054281*s[60])/4752 + (2257357205*s[61])/1539648 + s[67]/2 + 
       s[68]/2 + s[69]/2 + s[70] + (3*s[71])/4 - (5*s[72])/4 - (5*s[73])/4 + 
       (31*s[74])/16 - (31*s[75])/16 + (15*s[76])/4 - (3*s[77])/8 - 
       (9*s[78])/4 - (109*s[79])/3 - (13*s[80])/72 - (3*s[82])/2 - 
       (33*s[84])/2 - 5*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - v]*((5*s[2])/16 - (271*s[3])/48 - (820*s[4])/9 - 
       (7309*s[5])/132 - (445889*s[6])/3168 - (155367241*s[7])/114048 + 
       (10174343*s[8])/85536 + (2224885*s[9])/1944 + (2800847*s[10])/7776 + 
       (85502495*s[11])/57024 + (93942697*s[12])/57024 + 
       (1040605*s[13])/1056 + (7815221*s[14])/57024 + (2103043*s[15])/1152 + 
       (87892927*s[16])/38016 + (101585971*s[17])/57024 + 
       (10827133*s[18])/46656 + (10637879*s[19])/46656 + 
       (344949125*s[20])/128304 + (489288629*s[21])/513216 - 
       (183441689*s[22])/256608 - (20618713*s[23])/12672 - 
       (1530546137*s[24])/1026432 + (8914647029*s[25])/4618944 - 
       (600052009*s[26])/577368 + s[29]/2 - (37*s[30])/72 + (8*s[31])/9 + 
       (7*s[32])/16 + (13*s[33])/288 - s[34]/8 + s[35]/72 + (361*s[36])/108 - 
       (3641*s[37])/864 - (6737*s[38])/144 + (27721*s[39])/144 - 
       (93097*s[40])/432 + (15799*s[41])/96 - (480521*s[42])/1728 - 
       (776537*s[43])/4752 + (212585*s[44])/1188 - (3628189*s[45])/19008 + 
       (9451705*s[46])/6336 - (1871249*s[47])/28512 - (398657*s[48])/28512 + 
       (43788055*s[49])/57024 - (1370255*s[50])/1188 - 
       (10725389*s[51])/57024 - (2122625*s[52])/14256 + (424187*s[53])/528 - 
       (2155*s[54])/3168 + (48425587*s[55])/9504 + (75116939*s[56])/57024 - 
       (114425791*s[57])/85536 + (1192434739*s[58])/513216 - 
       (1222330741*s[59])/513216 - (2094279047*s[60])/171072 + 
       (2948761045*s[61])/4618944 + s[65]/8 + s[66]/2 - (3*s[67])/4 + 
       s[68]/6 - (17*s[69])/12 + s[70]/36 - s[71]/16 - (23*s[72])/18 + 
       (23*s[73])/18 + (91*s[74])/72 - (91*s[75])/72 - s[76]/12 + 
       (3*s[77])/4 - (3*s[78])/2 - (683*s[79])/36 + (2371*s[80])/432 - 
       (57*s[82])/2 - (3*s[83])/8 - (83*s[84])/12 - 5*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*
      ((-14*s[2])/9 + (325*s[3])/144 + (11053*s[4])/288 + (4877*s[5])/1584 + 
       (51145*s[6])/1584 + (4263505*s[7])/14256 - (6967363*s[8])/171072 - 
       (3750185*s[9])/15552 - (588085*s[10])/15552 - 
       (38488555*s[11])/114048 - (23079139*s[12])/57024 - 
       (28184423*s[13])/114048 + (5987489*s[14])/114048 - 
       (921277*s[15])/2592 - (53040623*s[16])/114048 - 
       (3484175*s[17])/12672 - (2979319*s[18])/46656 - (520231*s[19])/23328 - 
       (258246113*s[20])/513216 - (161725297*s[21])/1026432 + 
       (158788775*s[22])/1026432 + (69387409*s[23])/114048 + 
       (271067387*s[24])/1026432 - (2188019543*s[25])/4618944 + 
       (520773469*s[26])/2309472 + (13*s[30])/18 + s[31]/3 + s[32]/12 + 
       (65*s[33])/48 - (19*s[34])/18 - s[35]/18 - (59*s[36])/27 + 
       (1195*s[37])/432 + (487*s[38])/36 - (19435*s[39])/288 + 
       (61777*s[40])/864 - (17051*s[41])/288 + (91043*s[42])/864 + 
       (378407*s[43])/9504 - (1780463*s[44])/38016 + (89927*s[45])/3168 - 
       (103168*s[46])/297 + (5160337*s[47])/114048 - (5482295*s[48])/114048 - 
       (19594945*s[49])/114048 + (150287*s[50])/594 + 
       (8638115*s[51])/114048 + (7739147*s[52])/114048 - 
       (9838403*s[53])/57024 + (40201*s[54])/594 - (12929503*s[55])/12672 - 
       (33616339*s[56])/114048 + (66147949*s[57])/85536 - 
       (681647819*s[58])/1026432 + (663181043*s[59])/1026432 + 
       (1696893487*s[60])/684288 - (311074955*s[61])/2309472 + s[68]/3 - 
       s[69]/3 - (10*s[70])/9 + s[72]/3 + s[73]/6 - (41*s[74])/72 + 
       (41*s[75])/72 - (13*s[76])/9 + (13*s[77])/18 + (16*s[78])/9 + 
       (59*s[79])/9 - (199*s[82])/6 + 2*s[84] - (14*s[85])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      (11*s[3] + (371*s[4])/12 - (2537*s[5])/44 - (7665*s[6])/176 - 
       (237277*s[7])/396 - (64841*s[8])/4752 + (245351*s[9])/432 + 
       (30883*s[10])/108 + (1879729*s[11])/3168 + (1658249*s[12])/3168 + 
       (458737*s[13])/1584 + (556601*s[14])/1584 + (66379*s[15])/72 + 
       (856961*s[16])/792 + (1150583*s[17])/1056 + (176899*s[18])/1296 + 
       (140345*s[19])/1296 + (5265413*s[20])/3564 + (9133175*s[21])/14256 - 
       (2343533*s[22])/7128 + (436109*s[23])/3168 - (20216111*s[24])/28512 + 
       (152427835*s[25])/256608 - (122445559*s[26])/256608 + (5*s[32])/2 + 
       6*s[37] - (59*s[38])/6 + (273*s[39])/8 - (297*s[40])/8 + 
       (227*s[41])/6 - (431*s[42])/12 - (17893*s[43])/264 + 
       (27793*s[44])/528 - (12553*s[45])/88 + (55465*s[46])/66 + 
       (98909*s[47])/1584 - (145093*s[48])/1584 + (618913*s[49])/1584 - 
       (16063*s[50])/22 + (2195*s[51])/176 - (48047*s[52])/1584 + 
       (50561*s[53])/99 + (4957*s[54])/44 + (1806635*s[55])/528 + 
       (113317*s[56])/176 + (127685*s[57])/132 + (4042589*s[58])/4752 - 
       (4392107*s[59])/4752 - (74372503*s[60])/9504 + 
       (16701409*s[61])/42768 + s[68] - s[69] + s[77] - 104*s[82] - 
       4*s[85]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      ((349*s[4])/6 + (247*s[5])/8 + (935*s[6])/16 + (8005*s[7])/9 - 
       (761*s[8])/16 - (37757*s[9])/48 - (3101*s[10])/12 - (94765*s[11])/96 - 
       (101791*s[12])/96 - (23867*s[13])/36 - (333*s[14])/4 - 
       (45497*s[15])/36 - (217721*s[16])/144 - (339647*s[17])/288 - 
       (39139*s[18])/432 - (94277*s[19])/432 - (385403*s[20])/216 - 
       (126853*s[21])/216 + (23491*s[22])/48 + (218225*s[23])/288 + 
       (318425*s[24])/288 - (10010719*s[25])/7776 + (5092327*s[26])/7776 + 
       (9*s[33])/2 - 6*s[34] - (17*s[36])/6 - (5*s[37])/4 + 34*s[38] - 
       (833*s[39])/12 + (301*s[40])/4 - (1519*s[41])/24 + (2069*s[42])/24 + 
       (3185*s[43])/44 - (29219*s[44])/528 + (2218*s[45])/33 - 
       (57311*s[46])/132 + (12421*s[47])/528 + (20077*s[48])/528 - 
       (46367*s[49])/176 + (3479*s[50])/11 + (168401*s[51])/1584 + 
       (9967*s[52])/176 - (164365*s[53])/792 + (28*s[54])/33 - 
       (2082193*s[55])/1584 - (573439*s[56])/1584 + (749803*s[57])/1188 - 
       (10530581*s[58])/14256 + (10692635*s[59])/14256 + 
       (4007623*s[60])/1056 - (19052621*s[61])/128304 - 3*s[71] + 10*s[79] + 
       (23*s[80])/2 - 104*s[82] - 4*s[85]) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*Omega2[w, u, v]*((2*s[3])/3 - (139*s[4])/6 - 
       (4801*s[5])/132 - (3077*s[6])/44 - (461281*s[7])/792 + 
       (17701*s[8])/396 + (4517*s[9])/9 + (1501*s[10])/9 + 
       (81943*s[11])/132 + (85445*s[12])/132 + (37165*s[13])/99 + 
       (1150*s[14])/11 + (58801*s[15])/72 + (789077*s[16])/792 + 
       (163687*s[17])/198 + (13841*s[18])/108 + (3719*s[19])/54 + 
       (708575*s[20])/594 + (46286*s[21])/99 - (361927*s[22])/1188 - 
       (510115*s[23])/792 - (1464437*s[24])/2376 + (5417861*s[25])/7128 - 
       (3216641*s[26])/7128 - (5*s[32])/6 - (40*s[38])/3 + (218*s[39])/3 - 
       (230*s[40])/3 + (127*s[41])/2 - (1345*s[42])/12 - (1946*s[43])/33 + 
       (15055*s[44])/264 - (2768*s[45])/33 + (7019*s[46])/11 - 
       (24907*s[47])/792 + (11789*s[48])/792 + (205753*s[49])/792 - 
       (5470*s[50])/11 - (62195*s[51])/792 - (45935*s[52])/792 + 
       (144151*s[53])/396 - (710*s[54])/33 + (1774615*s[55])/792 + 
       (149893*s[56])/264 - (68503*s[57])/132 + (2339591*s[58])/2376 - 
       (2368547*s[59])/2376 - (23702191*s[60])/4752 + (827039*s[61])/2673 - 
       (2*s[68])/3 + (2*s[69])/3 - 2*s[73] - (2*s[77])/3 - 10*s[82] - 
       4*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[v, u, w]*
      (-s[2]/2 - (10*s[3])/3 + (17*s[4])/6 - (133*s[5])/33 - (101*s[6])/44 - 
       (20993*s[7])/396 - (135*s[8])/44 + (289*s[9])/6 + (137*s[10])/4 + 
       (13741*s[11])/264 + (11213*s[12])/264 + (6343*s[13])/396 + 
       (5023*s[14])/132 + (3401*s[15])/36 + (42283*s[16])/396 + 
       (91945*s[17])/792 + (334*s[18])/27 + (925*s[19])/54 + 
       (179393*s[20])/1188 + (33701*s[21])/594 - (10895*s[22])/396 + 
       (21821*s[23])/792 - (19531*s[24])/264 + (1064177*s[25])/21384 - 
       (815201*s[26])/21384 + s[32]/6 + s[37] + (2*s[38])/3 - (29*s[39])/6 + 
       (17*s[40])/6 - 3*s[41] + (26*s[42])/3 - (199*s[43])/66 + 
       (47*s[44])/33 - (530*s[45])/33 + (1187*s[46])/22 + (775*s[47])/99 - 
       (3433*s[48])/198 + (1745*s[49])/99 - (1251*s[50])/22 + 
       (119*s[51])/99 + (1093*s[52])/198 + (3757*s[53])/99 + 
       (1403*s[54])/66 + (25721*s[55])/99 + (1180*s[56])/33 + 
       (39797*s[57])/198 + (8155*s[58])/594 - (6302*s[59])/297 - 
       (354533*s[60])/594 + (56095*s[61])/1782 + s[68]/3 - s[69]/3 + 
       s[77]/3 - 10*s[82] - 4*s[85]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      Omega2[v, w, u]*(-s[2] - (22*s[3])/3 + (53*s[4])/3 + (2141*s[5])/132 + 
       (2735*s[6])/88 + (244003*s[7])/792 - (90725*s[8])/2376 - 
       (56023*s[9])/216 - (3803*s[10])/54 - (509585*s[11])/1584 - 
       (538261*s[12])/1584 - (54977*s[13])/264 - (11959*s[14])/792 - 
       (10703*s[15])/24 - (44527*s[16])/88 - (656785*s[17])/1584 - 
       (20573*s[18])/648 - (40345*s[19])/648 - (1009105*s[20])/1782 - 
       (1345501*s[21])/7128 + (568435*s[22])/3564 + (154427*s[23])/528 + 
       (4994149*s[24])/14256 - (55642937*s[25])/128304 + 
       (27981293*s[26])/128304 + (7*s[32])/6 + 2*s[37] + 7*s[38] - 
       (457*s[39])/12 + (457*s[40])/12 - (143*s[41])/6 + (727*s[42])/12 + 
       (1657*s[43])/44 - (3701*s[44])/132 + (6475*s[45])/132 - 
       (23767*s[46])/66 + (7919*s[47])/396 - (3911*s[48])/198 - 
       (55349*s[49])/396 + (3012*s[50])/11 + (4487*s[51])/99 + 
       (4919*s[52])/198 - (92047*s[53])/396 + (1129*s[54])/33 - 
       (141310*s[55])/99 - (21029*s[56])/66 - (4679*s[57])/132 - 
       (270191*s[58])/594 + (619489*s[59])/1188 + (6778931*s[60])/2376 - 
       (3465151*s[61])/21384 + (4*s[68])/3 - (4*s[69])/3 + 2*s[73] + 
       (4*s[77])/3 - 10*s[82] - 4*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      Omega2[v, w, u]*((-7*s[2])/3 - (9*s[3])/4 - (161*s[4])/8 + 
       (17*s[5])/44 - (2159*s[6])/66 - (322705*s[7])/1584 + (4799*s[8])/198 + 
       (11557*s[9])/72 + (1153*s[10])/36 + (21403*s[11])/88 + 
       (158617*s[12])/528 + (283487*s[13])/1584 - (14965*s[14])/528 + 
       (9065*s[15])/48 + (125135*s[16])/396 + (14272*s[17])/99 + 
       (4237*s[18])/72 + (11*s[19])/9 + (283631*s[20])/792 + 
       (555817*s[21])/4752 - (507523*s[22])/4752 - (625741*s[23])/1584 - 
       (933535*s[24])/4752 + (14002117*s[25])/42768 - (6828793*s[26])/42768 - 
       (4*s[31])/3 - s[33] + (2*s[34])/3 + (5*s[35])/3 + (14*s[36])/9 + 
       (83*s[37])/18 - 7*s[38] + (431*s[39])/12 - (1385*s[40])/36 + 
       (107*s[41])/3 - (1747*s[42])/36 - (9895*s[43])/396 + 
       (10981*s[44])/396 - (2459*s[45])/99 + (10305*s[46])/44 - 
       (22457*s[47])/1188 + (6179*s[48])/594 + (65767*s[49])/594 - 
       (16294*s[50])/99 - (41923*s[51])/1188 - (23561*s[52])/594 + 
       (9466*s[53])/99 - (537*s[54])/22 + (220265*s[55])/396 + 
       (227203*s[56])/1188 - (2139991*s[57])/3564 + (5039117*s[58])/10692 - 
       (4200677*s[59])/10692 - (11996933*s[60])/7128 + 
       (11404409*s[61])/96228 - (2*s[68])/3 + (2*s[69])/3 - s[74]/6 + 
       s[75]/6 + (4*s[76])/3 - (2*s[77])/3 - (4*s[78])/3 + (8*s[79])/3 - 
       (19*s[80])/9 - 10*s[82] - 4*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*
      HPL[{1}, 1 - w]^2*((-67*s[2])/48 - (13*s[3])/6 - (6913*s[4])/96 - 
       (4071*s[5])/88 - (44699*s[6])/352 - (41987587*s[7])/38016 + 
       (5311421*s[8])/57024 + (4827145*s[9])/5184 + (1434569*s[10])/5184 + 
       (46325585*s[11])/38016 + (25667519*s[12])/19008 + 
       (30439045*s[13])/38016 + (5327495*s[14])/38016 + 
       (4933901*s[15])/3456 + (35114369*s[16])/19008 + (5817089*s[17])/4224 + 
       (1806403*s[18])/7776 + (1897315*s[19])/15552 + 
       (377552269*s[20])/171072 + (278799137*s[21])/342144 - 
       (199024213*s[22])/342144 - (6605845*s[23])/4752 - 
       (99194857*s[24])/85536 + (593121787*s[25])/384912 - 
       (332152675*s[26])/384912 - s[30]/8 - s[31]/3 + (7*s[32])/48 - 
       s[33]/3 + (11*s[34])/24 + s[35]/8 + (259*s[36])/144 - (77*s[37])/16 - 
       (1577*s[38])/48 + (29251*s[39])/192 - (98197*s[40])/576 + 
       (26887*s[41])/192 - (131801*s[42])/576 - (765767*s[43])/6336 + 
       (421405*s[44])/3168 - (45131*s[45])/352 + (7027355*s[46])/6336 - 
       (637781*s[47])/9504 + (94433*s[48])/19008 + (10314409*s[49])/19008 - 
       (1305767*s[50])/1584 - (1491571*s[51])/9504 - (2544083*s[52])/19008 + 
       (10687195*s[53])/19008 - (261035*s[54])/3168 + (22416695*s[55])/6336 + 
       (19868005*s[56])/19008 - (85546357*s[57])/57024 + 
       (80351717*s[58])/42768 - (156971215*s[59])/85536 - 
       (995689927*s[60])/114048 + (379114471*s[61])/769824 - s[68]/4 + 
       s[69]/4 + s[70]/4 - s[71]/16 - (7*s[72])/12 + s[73]/12 + 
       (35*s[74])/48 - (35*s[75])/48 + (7*s[76])/6 - s[77]/8 - (5*s[78])/6 - 
       (199*s[79])/12 + (125*s[80])/24 - (49*s[82])/4 - (13*s[84])/2 - 
       4*s[85]) + HPL[{0, 1}, 1 - w]*M1[v, u, w]*(5*s[2] + (3*s[3])/4 - 
       (639*s[4])/8 + (3251*s[5])/264 - (3125*s[6])/132 - 
       (2082497*s[7])/4752 + (328315*s[8])/3564 + (214465*s[9])/648 + 
       (5657*s[10])/648 + (2692751*s[11])/4752 + (925081*s[12])/1188 + 
       (772751*s[13])/1584 - (1371625*s[14])/4752 + (53087*s[15])/144 + 
       (250699*s[16])/396 + (648919*s[17])/4752 + (117749*s[18])/1944 + 
       (133393*s[19])/1944 + (11762359*s[20])/21384 + (4321787*s[21])/42768 - 
       (9957433*s[22])/42768 - (1016615*s[23])/792 - (8045789*s[24])/21384 + 
       (336872141*s[25])/384912 - (125967221*s[26])/384912 + (5*s[29])/3 - 
       s[30] + (7*s[31])/3 + s[32]/6 + (8*s[33])/3 - (4*s[34])/3 - s[35]/3 + 
       (61*s[36])/18 - (31*s[37])/4 - (281*s[38])/6 + (4117*s[39])/24 - 
       (13603*s[40])/72 + (1145*s[41])/8 - (17141*s[42])/72 - 
       (119249*s[43])/792 + (264889*s[44])/1584 - (12225*s[45])/88 + 
       (472189*s[46])/396 - (238817*s[47])/4752 - (195587*s[48])/4752 + 
       (3458267*s[49])/4752 - (181103*s[50])/198 - (712399*s[51])/4752 - 
       (585007*s[52])/4752 + (722171*s[53])/1188 + (25129*s[54])/396 + 
       (665097*s[55])/176 + (4559549*s[56])/4752 - (4898693*s[57])/3564 + 
       (81837037*s[58])/42768 - (83341117*s[59])/42768 - 
       (281292779*s[60])/28512 + (45720709*s[61])/96228 + s[65]/3 + 
       (4*s[66])/3 - (7*s[67])/3 - (4*s[68])/3 - (10*s[69])/3 - (4*s[70])/3 - 
       s[71]/3 - (4*s[72])/3 + (8*s[73])/3 + s[74] - s[75] - (5*s[76])/3 + 
       (5*s[77])/3 - (4*s[78])/3 - 8*s[79] + (31*s[80])/6 - 18*s[82] - 
       s[83] - 4*s[84] - 4*s[85]) + D36[u, v, w]*((-3*s[2])/4 + 
       (41*s[3])/24 + (937*s[4])/16 + (2357*s[5])/264 + (25859*s[6])/528 + 
       (5213759*s[7])/9504 - (1009397*s[8])/14256 - (35995*s[9])/81 - 
       (16417*s[10])/162 - (6011549*s[11])/9504 - (893765*s[12])/1188 - 
       (487439*s[13])/1056 + (767479*s[14])/9504 - (63449*s[15])/96 - 
       (704849*s[16])/792 - (5294227*s[17])/9504 - (81863*s[18])/972 - 
       (355645*s[19])/3888 - (40511533*s[20])/42768 - 
       (24983027*s[21])/85536 + (24627403*s[22])/85536 + (83299*s[23])/88 + 
       (1500584*s[24])/2673 - (337780459*s[25])/384912 + 
       (157506247*s[26])/384912 - (2*s[29])/3 + s[30]/2 - s[31]/3 - s[32]/6 - 
       s[34]/2 - s[35]/2 - (61*s[36])/18 + (187*s[37])/36 + (89*s[38])/3 - 
       (733*s[39])/6 + (2359*s[40])/18 - (298*s[41])/3 + (6451*s[42])/36 + 
       (17099*s[43])/198 - (162523*s[44])/1584 + (55553*s[45])/792 - 
       (553735*s[46])/792 + (280133*s[47])/4752 - (139099*s[48])/4752 - 
       (1986863*s[49])/4752 + (210373*s[50])/396 + (578353*s[51])/4752 + 
       (466075*s[52])/4752 - (422509*s[53])/1188 + (1249*s[54])/396 - 
       (3418847*s[55])/1584 - (880075*s[56])/1584 + (922331*s[57])/792 - 
       (17375683*s[58])/14256 + (17538265*s[59])/14256 + 
       (156600959*s[60])/28512 - (33951395*s[61])/128304 - s[65]/6 - 
       (2*s[66])/3 + s[67] + (2*s[68])/3 + (4*s[69])/3 + s[71]/6 + s[72] - 
       (5*s[73])/3 - (13*s[74])/12 + (13*s[75])/12 - s[76]/3 - s[77]/2 + 
       (7*s[78])/3 + (26*s[79])/3 - (41*s[80])/18 - 15*s[82] + s[83]/2 + 
       3*s[84] - 4*s[85]) + HPL[{0, 1}, 1 - v]*M1[u, v, w]*
      ((5*s[2])/3 - (46*s[3])/3 + (3635*s[4])/24 + (3277*s[5])/24 + 
       (7705*s[6])/24 + (1219601*s[7])/432 - (131671*s[8])/648 - 
       (1567603*s[9])/648 - (472067*s[10])/648 - (1349881*s[11])/432 - 
       (1478915*s[12])/432 - (113101*s[13])/54 - (86351*s[14])/216 - 
       (1583165*s[15])/432 - (2026919*s[16])/432 - (509951*s[17])/144 - 
       (1023473*s[18])/1944 - (735277*s[19])/1944 - (10920473*s[20])/1944 - 
       (4058753*s[21])/1944 + (1460159*s[22])/972 + (669791*s[23])/216 + 
       (2992421*s[24])/972 - (137842711*s[25])/34992 + 
       (77045821*s[26])/34992 - s[30]/2 + (8*s[31])/3 + s[32]/6 + 
       (25*s[33])/24 - (29*s[34])/6 - (7*s[35])/3 - (151*s[36])/18 + 
       (199*s[37])/36 + (745*s[38])/6 - (10507*s[39])/24 + (34597*s[40])/72 - 
       (9167*s[41])/24 + (11207*s[42])/18 + (318407*s[43])/792 - 
       (313253*s[44])/792 + (288677*s[45])/792 - (305966*s[46])/99 + 
       (313633*s[47])/2376 + (42265*s[48])/594 - (2072099*s[49])/1188 + 
       (922615*s[50])/396 + (990191*s[51])/2376 + (425137*s[52])/1188 - 
       (3768095*s[53])/2376 + (7174*s[54])/99 - (3957625*s[55])/396 - 
       (262612*s[56])/99 + (298989*s[57])/88 - (35346953*s[58])/7128 + 
       (35941937*s[59])/7128 + (359512753*s[60])/14256 - 
       (79763053*s[61])/64152 + s[65]/6 + (2*s[66])/3 - s[67]/3 + 
       (2*s[68])/3 - (4*s[69])/3 + (2*s[70])/3 - (7*s[71])/6 + (2*s[72])/3 - 
       (3*s[74])/2 + (3*s[75])/2 - (10*s[76])/3 - s[77]/3 + (2*s[78])/3 + 
       (94*s[79])/3 + (43*s[80])/18 - 90*s[82] - s[83]/2 + 21*s[84] - 
       4*s[85]) + HPL[{0, 1}, 1 - u]*M1[u, v, w]*((-25*s[2])/6 + 
       (31*s[3])/4 + (4967*s[4])/12 + (41011*s[5])/264 + (69239*s[6])/132 + 
       (3041663*s[7])/594 - (3776269*s[8])/7128 - (342151*s[9])/81 - 
       (96374*s[10])/81 - (27254257*s[11])/4752 - (30880877*s[12])/4752 - 
       (3132049*s[13])/792 - (47273*s[14])/2376 - (236717*s[15])/36 - 
       (375105*s[16])/44 - (28928693*s[17])/4752 - (1582003*s[18])/1944 - 
       (1680455*s[19])/1944 - (203631173*s[20])/21384 - 
       (17080409*s[21])/5346 + (57360979*s[22])/21384 + 
       (11013997*s[23])/1584 + (237312995*s[24])/42768 - 
       (2937415585*s[25])/384912 + (1480673983*s[26])/384912 - 4*s[29] + 
       (5*s[30])/2 - (2*s[31])/3 - (7*s[32])/6 - (31*s[33])/24 - 
       (19*s[34])/6 - (14*s[35])/3 - (445*s[36])/18 + (287*s[37])/12 + 
       (1343*s[38])/6 - (21251*s[39])/24 + (69253*s[40])/72 - 
       (6037*s[41])/8 + (46519*s[42])/36 + (585095*s[43])/792 - 
       (1249891*s[44])/1584 + (186761*s[45])/264 - (2425333*s[46])/396 + 
       (1582217*s[47])/4752 - (2641*s[48])/4752 - (16118429*s[49])/4752 + 
       (1867255*s[50])/396 + (4203349*s[51])/4752 + (3306637*s[52])/4752 - 
       (1933111*s[53])/594 + (28607*s[54])/396 - (31895279*s[55])/1584 - 
       (24651719*s[56])/4752 + (48530035*s[57])/7128 - 
       (418733413*s[58])/42768 + (428449489*s[59])/42768 + 
       (1414229525*s[60])/28512 - (60272155*s[61])/24057 - (5*s[65])/6 - 
       (10*s[66])/3 + (17*s[67])/3 + (8*s[68])/3 + (26*s[69])/3 + 
       (2*s[70])/3 - s[71]/6 + (16*s[72])/3 - (26*s[73])/3 - (17*s[74])/3 + 
       (17*s[75])/3 - 4*s[76] - (8*s[77])/3 + (32*s[78])/3 + 54*s[79] - 
       (29*s[80])/6 - 60*s[82] + (5*s[83])/2 + 27*s[84] - 4*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^4*((-3*s[2])/8 - (5*s[3])/2 - 
       (15*s[4])/4 - (1109*s[5])/176 - (4537*s[6])/352 - (63869*s[7])/528 + 
       (4693*s[8])/704 + (6455*s[9])/64 + (2903*s[10])/64 + 
       (176403*s[11])/1408 + (21647*s[12])/176 + (295421*s[13])/4224 + 
       (54609*s[14])/1408 + (9067*s[15])/48 + (935279*s[16])/4224 + 
       (868183*s[17])/4224 + (154*s[18])/9 + (17603*s[19])/576 + 
       (210943*s[20])/792 + (1195691*s[21])/12672 - (86457*s[22])/1408 - 
       (239035*s[23])/4224 - (218019*s[24])/1408 + (4335131*s[25])/28512 - 
       (5037151*s[26])/57024 + s[32]/8 + (25*s[37])/48 - (15*s[38])/16 + 
       (59*s[39])/16 - (83*s[40])/16 + (37*s[41])/8 - (17*s[42])/4 - 
       (1957*s[43])/176 + (13185*s[44])/1408 - (4055*s[45])/176 + 
       (1413*s[46])/11 + (8535*s[47])/1408 - (24465*s[48])/1408 + 
       (74935*s[49])/1408 - (9701*s[50])/88 - (15203*s[51])/4224 + 
       (2149*s[52])/1408 + (57129*s[53])/704 + (4575*s[54])/352 + 
       (762955*s[55])/1408 + (159969*s[56])/1408 + (174143*s[57])/1056 + 
       (1557821*s[58])/12672 - (1794413*s[59])/12672 - (3367971*s[60])/2816 + 
       (305519*s[61])/4752 + s[68]/4 - s[69]/4 + s[77]/4 - (117*s[82])/8 - 
       3*s[85]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
      ((71*s[2])/144 - (203*s[3])/72 - (19445*s[4])/144 - 
       (191831*s[5])/3168 - (291419*s[6])/1584 - (202027801*s[7])/114048 + 
       (29464841*s[8])/171072 + (22912759*s[9])/15552 + 
       (6462089*s[10])/15552 + (226388741*s[11])/114048 + 
       (15988681*s[12])/7128 + (156099667*s[13])/114048 + 
       (5970629*s[14])/114048 + (23455499*s[15])/10368 + 
       (167579057*s[16])/57024 + (80291317*s[17])/38016 + 
       (13518983*s[18])/46656 + (6741371*s[19])/23328 + 
       (1712600143*s[20])/513216 + (1169482745*s[21])/1026432 - 
       (956134603*s[22])/1026432 - (134402575*s[23])/57024 - 
       (491123353*s[24])/256608 + (6050425445*s[25])/2309472 - 
       (6200049337*s[26])/4618944 + (3*s[29])/4 - (23*s[30])/36 - s[31]/6 + 
       (77*s[32])/144 + (155*s[33])/144 + (25*s[34])/36 + (71*s[35])/36 + 
       (781*s[36])/108 - (2213*s[37])/288 - (11393*s[38])/144 + 
       (29077*s[39])/96 - (289421*s[40])/864 + (4115*s[41])/16 - 
       (747461*s[42])/1728 - (2419363*s[43])/9504 + (10438309*s[44])/38016 - 
       (192297*s[45])/704 + (41935283*s[46])/19008 - 
       (12156995*s[47])/114048 - (2055167*s[48])/114048 + 
       (134900459*s[49])/114048 - (8054861*s[50])/4752 - 
       (33577681*s[51])/114048 - (27337129*s[52])/114048 + 
       (66513427*s[53])/57024 - (29053*s[54])/1188 + (279223183*s[55])/
        38016 + (219173345*s[56])/114048 - (97176229*s[57])/42768 + 
       (3597993601*s[58])/1026432 - (3659287993*s[59])/1026432 - 
       (12340865891*s[60])/684288 + (2141803597*s[61])/2309472 + s[65]/6 + 
       (2*s[66])/3 - (13*s[67])/12 - s[68]/6 - (7*s[69])/4 - (11*s[70])/36 + 
       s[71]/48 - (13*s[72])/9 + (47*s[73])/18 + (43*s[74])/24 - 
       (43*s[75])/24 + (49*s[76])/36 + (7*s[77])/12 - (85*s[78])/36 - 
       (889*s[79])/36 + (767*s[80])/144 - 6*s[82] - s[83]/2 - (73*s[84])/6 - 
       3*s[85]) + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]^2*
      ((-83*s[2])/48 - (595*s[3])/96 - (19897*s[4])/192 - (31523*s[5])/528 - 
       (412471*s[6])/2112 - (61082393*s[7])/38016 + (2701777*s[8])/19008 + 
       (143879*s[9])/108 + (183811*s[10])/432 + (7472789*s[11])/4224 + 
       (6148661*s[12])/3168 + (44685163*s[13])/38016 + (829633*s[14])/4224 + 
       (7326323*s[15])/3456 + (51838499*s[16])/19008 + 
       (79734383*s[17])/38016 + (242741*s[18])/864 + (145423*s[19])/576 + 
       (59966309*s[20])/19008 + (127832153*s[21])/114048 - 
       (95487221*s[22])/114048 - (34937587*s[23])/19008 - 
       (101682415*s[24])/57024 + (583192535*s[25])/256608 - 
       (315417785*s[26])/256608 + s[29]/2 - s[30]/8 + s[31]/3 + 
       (23*s[32])/24 + (73*s[33])/48 - (19*s[34])/24 + (59*s[35])/24 + 
       (229*s[36])/72 - (869*s[37])/144 - (1055*s[38])/24 + (9845*s[39])/48 - 
       (33269*s[40])/144 + (8819*s[41])/48 - (86969*s[42])/288 - 
       (260803*s[43])/1584 + (601583*s[44])/3168 - (587575*s[45])/3168 + 
       (1628377*s[46])/1056 - (792217*s[47])/9504 + (24269*s[48])/9504 + 
       (448873*s[49])/594 - (1842871*s[50])/1584 - (1031893*s[51])/4752 - 
       (1617353*s[52])/9504 + (282783*s[53])/352 - (15247*s[54])/176 + 
       (16019173*s[55])/3168 + (418483*s[56])/297 - (25518175*s[57])/14256 + 
       (215082403*s[58])/85536 - (26602625*s[59])/10692 - 
       (700482391*s[60])/57024 + (1060756175*s[61])/1539648 + s[65]/12 + 
       s[66]/3 - (2*s[67])/3 - (2*s[68])/3 - (2*s[69])/3 + s[70]/3 + 
       s[71]/6 - (11*s[72])/12 + (3*s[73])/4 + (19*s[74])/16 - 
       (19*s[75])/16 + s[76]/12 - s[77]/24 - (35*s[78])/12 - (68*s[79])/3 + 
       (559*s[80])/72 - (41*s[82])/2 - s[83]/4 - 6*s[84] - 3*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((41*s[2])/12 - (23*s[3])/6 - (161*s[4])/16 + (3959*s[5])/264 + 
       (1973*s[6])/264 + (266621*s[7])/1584 - (47279*s[8])/2376 - 
       (32005*s[9])/216 - (18817*s[10])/432 - (68663*s[11])/396 - 
       (299857*s[12])/1584 - (104923*s[13])/1056 + (2755*s[14])/1584 - 
       (39283*s[15])/144 - (153287*s[16])/528 - (712373*s[17])/3168 - 
       (74819*s[18])/2592 - (40837*s[19])/2592 - (9447973*s[20])/28512 - 
       (1839671*s[21])/14256 + (1282231*s[22])/14256 + (145087*s[23])/528 + 
       (658201*s[24])/3564 - (57909901*s[25])/256608 + 
       (32939365*s[26])/256608 + (8*s[31])/3 + (5*s[32])/12 + 2*s[33] - 
       (4*s[34])/3 - (5*s[35])/6 - (52*s[36])/9 + (907*s[37])/72 + 
       (287*s[38])/24 - (1567*s[39])/48 + (4717*s[40])/144 - (485*s[41])/48 + 
       (8279*s[42])/144 + (49343*s[43])/1584 - (25007*s[44])/1584 + 
       (39379*s[45])/1584 - (11549*s[46])/66 + (78163*s[47])/4752 - 
       (47501*s[48])/4752 - (1111763*s[49])/9504 + (53981*s[50])/396 + 
       (241195*s[51])/9504 + (60121*s[52])/2376 - (12707*s[53])/99 - 
       (1919*s[54])/528 - (178595*s[55])/264 - (1355125*s[56])/9504 + 
       (1608157*s[57])/7128 - (24222665*s[58])/85536 + 
       (31486601*s[59])/85536 + (77835293*s[60])/57024 - 
       (17000507*s[61])/192456 + (13*s[68])/6 - (13*s[69])/6 + s[74]/3 - 
       s[75]/3 - (8*s[76])/3 + (13*s[77])/6 + (8*s[78])/3 - (16*s[79])/3 + 
       (38*s[80])/9 - (79*s[82])/2 - 2*s[85]) + HPL[{1}, 1 - v]^4*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*(s[3]/3 - (4573*s[4])/288 - 
       (249*s[5])/22 - (17617*s[6])/704 - (4263623*s[7])/19008 + 
       (1440887*s[8])/57024 + (950677*s[9])/5184 + (147439*s[10])/2592 + 
       (8965109*s[11])/38016 + (9500005*s[12])/38016 + 
       (2849525*s[13])/19008 + (380569*s[14])/19008 + (523177*s[15])/1728 + 
       (7211987*s[16])/19008 + (1335121*s[17])/4224 + (473945*s[18])/15552 + 
       (722431*s[19])/15552 + (35797241*s[20])/85536 + 
       (22418377*s[21])/171072 - (9758605*s[22])/85536 - 
       (8209613*s[23])/38016 - (88834873*s[24])/342144 + 
       (978714647*s[25])/3079296 - (468600263*s[26])/3079296 - (5*s[32])/12 - 
       (155*s[38])/36 + (971*s[39])/48 - (1067*s[40])/48 + (2519*s[41])/144 - 
       (9227*s[42])/288 - (6631*s[43])/396 + (118751*s[44])/6336 - 
       (21157*s[45])/528 + (24691*s[46])/99 - (172679*s[47])/19008 + 
       (124189*s[48])/19008 + (1253453*s[49])/19008 - (70691*s[50])/352 - 
       (24093*s[51])/704 - (405115*s[52])/19008 + (1490429*s[53])/9504 - 
       (24733*s[54])/528 + (6217499*s[55])/6336 + (1591607*s[56])/6336 + 
       (111559*s[57])/4752 + (18421649*s[58])/57024 - 
       (18664259*s[59])/57024 - (229182509*s[60])/114048 + 
       (23504641*s[61])/171072 - s[68]/3 + s[69]/3 - s[73] - s[77]/3 - 
       (31*s[82])/4 - 2*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*
      HPL[{0, 1}, 1 - w]*(-s[2] - (311*s[3])/144 - (11219*s[4])/96 - 
       (6515*s[5])/88 - (207283*s[6])/1056 - (5545013*s[7])/3168 + 
       (60713*s[8])/396 + (424643*s[9])/288 + (125707*s[10])/288 + 
       (127241*s[11])/66 + (1122493*s[12])/528 + (2025005*s[13])/1584 + 
       (95209*s[14])/528 + (662491*s[15])/288 + (9313999*s[16])/3168 + 
       (7053941*s[17])/3168 + (17741*s[18])/54 + (102707*s[19])/432 + 
       (16322609*s[20])/4752 + (5888779*s[21])/4752 - (2188393*s[22])/2376 - 
       (7002949*s[23])/3168 - (17752967*s[24])/9504 + (17616331*s[25])/7128 - 
       (2395255*s[26])/1782 - s[30]/4 - s[31]/2 + (3*s[32])/8 - s[33]/16 + 
       s[34]/4 + s[35]/6 + (29*s[36])/8 - (121*s[37])/12 - (673*s[38])/12 + 
       (24107*s[39])/96 - (26899*s[40])/96 + (7025*s[41])/32 - 
       (12017*s[42])/32 - (199649*s[43])/1056 + (224251*s[44])/1056 - 
       (159497*s[45])/792 + (1826707*s[46])/1056 - (369841*s[47])/3168 + 
       (16573*s[48])/396 + (680473*s[49])/792 - (115179*s[50])/88 - 
       (271915*s[51])/1056 - (340705*s[52])/1584 + (2860549*s[53])/3168 - 
       (56873*s[54])/528 + (8899063*s[55])/1584 + (2501303*s[56])/1584 - 
       (22588585*s[57])/9504 + (83488811*s[58])/28512 - 
       (82930271*s[59])/28512 - (129479941*s[60])/9504 + 
       (191916341*s[61])/256608 - s[68]/2 + s[69]/2 + s[70]/2 - s[71]/8 - 
       s[72] + s[73] + (4*s[74])/3 - (4*s[75])/3 + (5*s[76])/3 - s[77]/3 - 
       (3*s[78])/2 - (61*s[79])/2 + (59*s[80])/6 + 2*s[82] - 12*s[84] - 
       2*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((-19*s[2])/12 + (607*s[3])/24 + (3633*s[4])/16 + 
       (30691*s[5])/264 + (56585*s[6])/176 + (10010621*s[7])/3168 - 
       (507587*s[8])/1584 - (23401*s[9])/9 - (56383*s[10])/72 - 
       (3710653*s[11])/1056 - (345281*s[12])/88 - (7587433*s[13])/3168 + 
       (7099*s[14])/1056 - (131823*s[15])/32 - (1038127*s[16])/198 - 
       (12244637*s[17])/3168 - (113237*s[18])/216 - (245069*s[19])/432 - 
       (27809867*s[20])/4752 - (6422381*s[21])/3168 + (15442387*s[22])/9504 + 
       (1620085*s[23])/396 + (8191627*s[24])/2376 - (33099101*s[25])/7128 + 
       (8520529*s[26])/3564 + s[28]/6 - (8*s[29])/3 - (8*s[31])/3 - 
       (7*s[32])/6 - (19*s[33])/8 + s[34] + (5*s[35])/6 - (83*s[36])/18 + 
       (35*s[37])/12 + (274*s[38])/3 - (2005*s[39])/6 + (3031*s[40])/9 - 
       (1037*s[41])/4 + (35131*s[42])/72 + (52741*s[43])/198 - 
       (398723*s[44])/1584 + (54953*s[45])/264 - (1500217*s[46])/792 + 
       (621985*s[47])/4752 - (234695*s[48])/4752 - (5659261*s[49])/4752 + 
       (291613*s[50])/198 + (1582607*s[51])/4752 + (1250267*s[52])/4752 - 
       (1226173*s[53])/1188 - (6761*s[54])/396 - (9537101*s[55])/1584 - 
       (5925619*s[56])/4752 + (3998279*s[57])/1782 - (127010621*s[58])/
        42768 + (135792299*s[59])/42768 + (424410421*s[60])/28512 - 
       (253889129*s[61])/384912 - s[65]/6 - (2*s[66])/3 + 2*s[67] - 4*s[68] + 
       (25*s[69])/3 - s[70] - (11*s[71])/6 + s[72] + s[73]/3 - 
       (37*s[74])/12 + (37*s[75])/12 + (4*s[76])/3 - (11*s[77])/2 - 3*s[78] - 
       24*s[79] + (121*s[80])/6 - 190*s[82] + (5*s[83])/4 + (21*s[84])/2 - 
       2*s[85]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((397*s[2])/144 - (2413*s[3])/288 - (191683*s[4])/576 - 
       (234011*s[5])/3168 - (2738287*s[6])/6336 - (415774853*s[7])/114048 + 
       (69670927*s[8])/171072 + (22844455*s[9])/7776 + (6447179*s[10])/7776 + 
       (465485191*s[11])/114048 + (33233297*s[12])/7128 + 
       (324703877*s[13])/114048 - (85373*s[14])/114048 + 
       (47803219*s[15])/10368 + (43314275*s[16])/7128 + 
       (162580171*s[17])/38016 + (14334215*s[18])/23328 + 
       (25621157*s[19])/46656 + (3438932039*s[20])/513216 + 
       (2304822781*s[21])/1026432 - (1939369577*s[22])/1026432 - 
       (150561277*s[23])/28512 - (495941689*s[24])/128304 + 
       (25186309451*s[25])/4618944 - (12730484033*s[26])/4618944 + 
       (19*s[29])/6 - (41*s[30])/24 + (59*s[31])/18 + s[32]/9 + s[33]/9 - 
       (331*s[34])/72 + (467*s[35])/72 + (1463*s[36])/108 - 
       (2245*s[37])/432 - (5093*s[38])/36 + (185731*s[39])/288 - 
       (618169*s[40])/864 + (167957*s[41])/288 - (838373*s[42])/864 - 
       (452485*s[43])/864 + (1019057*s[44])/1728 - (401485*s[45])/864 + 
       (1894939*s[46])/432 - (1270939*s[47])/5184 + (64811*s[48])/5184 + 
       (12381469*s[49])/5184 - (1443281*s[50])/432 - (3427577*s[51])/5184 - 
       (2641703*s[52])/5184 + (5945485*s[53])/2592 - (20225*s[54])/108 + 
       (24447119*s[55])/1728 + (6716501*s[56])/1728 - (605803*s[57])/108 + 
       (112470935*s[58])/15552 - (113611625*s[59])/15552 - 
       (1081891897*s[60])/31104 + (257699551*s[61])/139968 + s[62]/4 + 
       s[63] + (7*s[65])/9 + (28*s[66])/9 - (85*s[67])/18 - (11*s[68])/9 - 
       (74*s[69])/9 - s[70]/18 + (7*s[71])/72 - (149*s[72])/36 + 
       (27*s[73])/4 + (229*s[74])/48 - (229*s[75])/48 + (25*s[76])/36 + 
       (281*s[77])/72 - (341*s[78])/36 - (1109*s[79])/18 + (3671*s[80])/216 + 
       15*s[82] - (7*s[83])/3 - (43*s[84])/2 - (5*s[85])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((161*s[2])/36 + (5237*s[3])/144 - (9421*s[4])/96 - (71659*s[5])/792 - 
       (426313*s[6])/3168 - (27331193*s[7])/14256 + (10743871*s[8])/85536 + 
       (3256673*s[9])/1944 + (2069963*s[10])/3888 + (121520467*s[11])/57024 + 
       (33318539*s[12])/14256 + (82644497*s[13])/57024 + 
       (8644837*s[14])/57024 + (1672601*s[15])/648 + (180971387*s[16])/
        57024 + (44107571*s[17])/19008 + (5360917*s[18])/23328 + 
       (4780759*s[19])/11664 + (971478293*s[20])/256608 + 
       (680422027*s[21])/513216 - (537663233*s[22])/513216 - 
       (97518697*s[23])/57024 - (1218541433*s[24])/513216 + 
       (6331026605*s[25])/2309472 - (1668584671*s[26])/1154736 - 
       (5*s[29])/6 + (47*s[30])/12 + (5*s[31])/9 - (5*s[32])/18 + 
       (19*s[33])/18 - (49*s[34])/36 + (77*s[35])/36 - (67*s[36])/54 + 
       (2153*s[37])/216 - (7939*s[38])/72 + (22517*s[39])/72 - 
       (78599*s[40])/216 + (14657*s[41])/48 - (349501*s[42])/864 - 
       (88391*s[43])/216 + (320201*s[44])/864 - (90197*s[45])/216 + 
       (332555*s[46])/108 + (156053*s[47])/2592 - (814735*s[48])/2592 + 
       (2351651*s[49])/1296 - (1086967*s[50])/432 - (332779*s[51])/1296 - 
       (509141*s[52])/2592 + (4463945*s[53])/2592 + (109751*s[54])/432 + 
       (9776213*s[55])/864 + (1060607*s[56])/432 - (132019*s[57])/1296 + 
       (10454501*s[58])/2592 - (1919303*s[59])/432 - (108684709*s[60])/3888 + 
       (168242857*s[61])/139968 - (101*s[65])/72 - (28*s[66])/9 + 
       (97*s[67])/18 + (151*s[68])/18 + (97*s[69])/18 + (23*s[70])/36 + 
       (131*s[71])/72 + (91*s[72])/18 - (47*s[73])/6 - (37*s[74])/24 + 
       (49*s[75])/24 - (113*s[76])/18 - (5*s[77])/18 + (110*s[78])/9 - 
       (709*s[79])/18 + (95*s[80])/108 - 27*s[82] + (16*s[83])/3 - 20*s[84] - 
       (4*s[85])/3) + HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]^3*
      (s[3]/6 - (931*s[4])/192 - (3745*s[5])/528 - (19369*s[6])/1408 - 
       (1590221*s[7])/12672 + (378415*s[8])/38016 + (368897*s[9])/3456 + 
       (8179*s[10])/216 + (3361033*s[11])/25344 + (3481367*s[12])/25344 + 
       (886*s[13])/11 + (84923*s[14])/3168 + (23053*s[15])/128 + 
       (455149*s[16])/2112 + (4638473*s[17])/25344 + (219661*s[18])/10368 + 
       (230549*s[19])/10368 + (7401371*s[20])/28512 + (5435659*s[21])/57024 - 
       (7433953*s[22])/114048 - (279913*s[23])/2816 - 
       (32966189*s[24])/228096 + (339142825*s[25])/2052864 - 
       (193854457*s[26])/2052864 - (5*s[32])/24 - (39*s[38])/16 + 
       (271*s[39])/24 - (295*s[40])/24 + (1775*s[41])/192 - 
       (3131*s[42])/192 - (2297*s[43])/176 + (12413*s[44])/1056 - 
       (5521*s[45])/264 + (73069*s[46])/528 - (13033*s[47])/6336 - 
       (27883*s[48])/6336 + (355393*s[49])/6336 - (2381*s[50])/22 - 
       (76585*s[51])/6336 - (2921*s[52])/396 + (259753*s[53])/3168 - 
       (733*s[54])/264 + (3353591*s[55])/6336 + (4186*s[56])/33 + 
       (1825*s[57])/99 + (1126841*s[58])/6336 - (100259*s[59])/528 - 
       (5508419*s[60])/4752 + (22858621*s[61])/342144 - s[68]/6 + s[69]/6 - 
       s[73]/2 - s[77]/6 - (47*s[82])/8 - s[85]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w]^2*((-17*s[2])/16 - (757*s[3])/96 - 
       (6943*s[4])/192 - (18765*s[5])/352 - (75699*s[6])/704 - 
       (33447677*s[7])/38016 + (2876111*s[8])/57024 + (1948889*s[9])/2592 + 
       (360791*s[10])/1296 + (35950019*s[11])/38016 + 
       (18509585*s[12])/19008 + (7343909*s[13])/12672 + 
       (8401061*s[14])/38016 + (485963*s[15])/384 + (9836339*s[16])/6336 + 
       (50841721*s[17])/38016 + (309427*s[18])/1944 + (2455501*s[19])/15552 + 
       (316935205*s[20])/171072 + (243350951*s[21])/342144 - 
       (156921943*s[22])/342144 - (289343*s[23])/396 - 
       (44344565*s[24])/42768 + (885204389*s[25])/769824 - 
       (65726611*s[26])/96228 - (2*s[29])/3 + (3*s[30])/8 + s[31]/6 - 
       (17*s[32])/24 + (17*s[33])/24 - (19*s[34])/24 - (31*s[35])/24 - 
       (41*s[36])/36 - (13*s[37])/48 - (223*s[38])/12 + (7873*s[39])/96 - 
       (26543*s[40])/288 + (7445*s[41])/96 - (34213*s[42])/288 - 
       (249481*s[43])/3168 + (260233*s[44])/3168 - (86663*s[45])/1056 + 
       (1068929*s[46])/1584 - (160799*s[47])/9504 - (51395*s[48])/2376 + 
       (3426239*s[49])/9504 - (853601*s[50])/1584 - (86081*s[51])/1188 - 
       (61187*s[52])/1188 + (1774603*s[53])/4752 + (4601*s[54])/1584 + 
       (7505203*s[55])/3168 + (5478821*s[56])/9504 - (1637503*s[57])/3564 + 
       (42710795*s[58])/42768 - (89603233*s[59])/85536 - 
       (160962145*s[60])/28512 + (439831841*s[61])/1539648 - s[65]/12 - 
       s[66]/3 + (5*s[67])/6 + (4*s[68])/3 + s[69]/3 + (5*s[70])/6 - 
       s[71]/24 + (7*s[72])/12 - (5*s[73])/12 - (3*s[74])/16 + (3*s[75])/16 - 
       s[76]/12 - (19*s[77])/24 + s[78]/12 - (19*s[79])/2 + (113*s[80])/24 - 
       (57*s[82])/2 + s[83]/4 - 2*s[84] - s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((157*s[2])/48 - (599*s[3])/96 + (124193*s[4])/576 + (93449*s[5])/528 + 
       (295479*s[6])/704 + (145939573*s[7])/38016 - (671239*s[8])/2112 - 
       (467243*s[9])/144 - (146933*s[10])/144 - (52717337*s[11])/12672 - 
       (14216951*s[12])/3168 - (103000109*s[13])/38016 - 
       (2268751*s[14])/4224 - (18242407*s[15])/3456 - (61729871*s[16])/9504 - 
       (196249489*s[17])/38016 - (1661717*s[18])/2592 - 
       (3131033*s[19])/5184 - (434662079*s[20])/57024 - 
       (315203459*s[21])/114048 + (25488371*s[22])/12672 + 
       (40299631*s[23])/9504 + (40253113*s[24])/9504 - 
       (1360469573*s[25])/256608 + (375837025*s[26])/128304 - s[29]/2 + 
       s[30]/8 + (4*s[31])/3 - (19*s[32])/24 + (47*s[33])/24 - 
       (97*s[34])/24 - (73*s[35])/24 - (151*s[36])/18 + (59*s[37])/6 + 
       (1013*s[38])/8 - (151147*s[39])/288 + (168131*s[40])/288 - 
       (130135*s[41])/288 + (25021*s[42])/32 + (139103*s[43])/288 - 
       (136459*s[44])/288 + (73837*s[45])/144 - (1186931*s[46])/288 + 
       (148585*s[47])/864 + (12901*s[48])/216 - (1811497*s[49])/864 + 
       (454267*s[50])/144 + (223409*s[51])/432 + (11050*s[52])/27 - 
       (490367*s[53])/216 + (12613*s[54])/72 - (6176723*s[55])/432 - 
       (1078025*s[56])/288 + (929431*s[57])/288 - (16255511*s[58])/2592 + 
       (1061171*s[59])/162 + (174156595*s[60])/5184 - 
       (82894061*s[61])/46656 + s[67]/2 + s[68]/2 + s[69]/2 - (3*s[71])/4 + 
       (25*s[72])/12 - (7*s[73])/12 - (127*s[74])/48 + (127*s[75])/48 - 
       (31*s[76])/12 - (25*s[77])/24 + (15*s[78])/4 + 53*s[79] - 
       (97*s[80])/9 - (121*s[82])/2 + (39*s[84])/2 - s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
      ((-65*s[2])/48 - (631*s[3])/96 - (3097*s[4])/64 - (14891*s[5])/352 - 
       (77981*s[6])/704 - (8291989*s[7])/9504 + (1906525*s[8])/28512 + 
       (3834919*s[9])/5184 + (1137545*s[10])/5184 + (18118483*s[11])/19008 + 
       (19596023*s[12])/19008 + (6009283*s[13])/9504 + (1209839*s[14])/9504 + 
       (508621*s[15])/432 + (13934089*s[16])/9504 + (7289489*s[17])/6336 + 
       (2446139*s[18])/15552 + (1933393*s[19])/15552 + 
       (73986421*s[20])/42768 + (106935247*s[21])/171072 - 
       (19527605*s[22])/42768 - (19147369*s[23])/19008 - 
       (80881015*s[24])/85536 + (942487379*s[25])/769824 - 
       (1037059153*s[26])/1539648 - s[29]/2 - (7*s[30])/12 - (3*s[31])/2 + 
       s[32]/8 - (65*s[33])/32 + (25*s[34])/12 + (3*s[35])/8 + 
       (173*s[36])/72 - (239*s[37])/32 - (1379*s[38])/48 + (10967*s[39])/96 - 
       (36593*s[40])/288 + (1457*s[41])/16 - (93359*s[42])/576 - 
       (25601*s[43])/288 + (107483*s[44])/1152 - (7541*s[45])/64 + 
       (495925*s[46])/576 - (164773*s[47])/3456 + (42935*s[48])/3456 + 
       (1358401*s[49])/3456 - (23191*s[50])/36 - (404051*s[51])/3456 - 
       (346535*s[52])/3456 + (788153*s[53])/1728 - (11357*s[54])/144 + 
       (3349625*s[55])/1152 + (2717875*s[56])/3456 - (1193663*s[57])/1296 + 
       (43574267*s[58])/31104 - (43498811*s[59])/31104 - 
       (142139377*s[60])/20736 + (26926223*s[61])/69984 - s[65]/8 - s[66]/2 + 
       (3*s[67])/4 - (3*s[68])/8 + (13*s[69])/8 + (5*s[70])/3 + 
       (3*s[71])/16 + s[72]/4 - (5*s[73])/4 + (23*s[74])/48 - (23*s[75])/48 + 
       (35*s[76])/12 - (11*s[77])/6 - (17*s[78])/12 - (133*s[79])/12 - 
       (3*s[80])/16 + (13*s[82])/4 + (3*s[83])/8 - (21*s[84])/4 - s[85]/2) + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^4*(s[2]/8 + (5*s[3])/6 + 
       (13*s[4])/16 + (5*s[5])/4 + (63*s[6])/16 + (1697*s[7])/72 - 
       (209*s[8])/1728 - (34049*s[9])/1728 - (15703*s[10])/1728 - 
       (30377*s[11])/1152 - (15569*s[12])/576 - (6469*s[13])/384 - 
       (16049*s[14])/1152 - (8857*s[15])/288 - (16253*s[16])/384 - 
       (43429*s[17])/1152 - (20683*s[18])/5184 - (13267*s[19])/2592 - 
       (9341*s[20])/162 - (233081*s[21])/10368 + (126181*s[22])/10368 - 
       (439*s[23])/384 + (331873*s[24])/10368 - (699629*s[25])/23328 + 
       (473819*s[26])/23328 - s[32]/24 - s[37]/4 + (5*s[38])/48 + 
       (3*s[39])/4 - s[40]/4 - (7*s[41])/12 - (161*s[42])/48 + 
       (65*s[43])/33 - (11365*s[44])/4224 + (809*s[45])/132 - 
       (7537*s[46])/264 - (50101*s[47])/12672 + (100643*s[48])/12672 - 
       (146543*s[49])/12672 + (3447*s[50])/176 - (43159*s[51])/12672 - 
       (19211*s[52])/12672 - (89795*s[53])/6336 + (65*s[54])/176 - 
       (169113*s[55])/1408 - (151439*s[56])/4224 - (158575*s[57])/3168 - 
       (1046699*s[58])/38016 + (1107527*s[59])/38016 + 
       (21521249*s[60])/76032 - (879649*s[61])/57024 - s[68]/12 + s[69]/12 - 
       s[77]/12 + (55*s[82])/8 + s[85]) + HPL[{1}, 1 - v]^3*
      HPL[{0, 1}, 1 - u]^2*((7*s[2])/16 - (811*s[3])/96 - (12531*s[4])/64 - 
       (21437*s[5])/176 - (716383*s[6])/2112 - (110343097*s[7])/38016 + 
       (15087925*s[8])/57024 + (6280297*s[9])/2592 + (1822961*s[10])/2592 + 
       (122100475*s[11])/38016 + (16898833*s[12])/4752 + 
       (27517571*s[13])/12672 + (9263059*s[14])/38016 + (1456435*s[15])/384 + 
       (1709591*s[16])/352 + (138749441*s[17])/38016 + (1971103*s[18])/3888 + 
       (6730673*s[19])/15552 + (955555265*s[20])/171072 + 
       (680872873*s[21])/342144 - (519076445*s[22])/342144 - 
       (5731853*s[23])/1584 - (268854869*s[24])/85536 + 
       (3208217497*s[25])/769824 - (1712586607*s[26])/769824 + s[29] - 
       (3*s[30])/8 - s[31]/6 + (43*s[32])/24 + (11*s[33])/6 + (23*s[34])/24 + 
       (35*s[35])/24 + (343*s[36])/36 - (565*s[37])/48 - (661*s[38])/6 + 
       (42013*s[39])/96 - (138455*s[40])/288 + (11849*s[41])/32 - 
       (91901*s[42])/144 - (1167973*s[43])/3168 + (2442389*s[44])/6336 - 
       (142497*s[45])/352 + (5110451*s[46])/1584 - (3261211*s[47])/19008 + 
       (74627*s[48])/19008 + (30993283*s[49])/19008 - (3859409*s[50])/1584 - 
       (8417639*s[51])/19008 - (6862835*s[52])/19008 + 
       (16280741*s[53])/9504 - (110093*s[54])/792 + (68059205*s[55])/6336 + 
       (55028161*s[56])/19008 - (99658439*s[57])/28512 + 
       (890585561*s[58])/171072 - (900620255*s[59])/171072 - 
       (2947900795*s[60])/114048 + (2157952943*s[61])/1539648 + s[65]/6 + 
       (2*s[66])/3 - (4*s[67])/3 - (4*s[68])/3 - (5*s[69])/6 - s[70]/3 + 
       (11*s[71])/24 - (11*s[72])/12 + (25*s[73])/12 + (97*s[74])/48 - 
       (97*s[75])/48 + (5*s[76])/4 - s[77]/24 - (19*s[78])/12 - 
       (53*s[79])/2 + (53*s[80])/24 + (49*s[82])/2 - s[83]/2 - (33*s[84])/2 + 
       s[85]) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      ((-7*s[2])/24 - (3*s[3])/8 + (345*s[4])/32 + (4589*s[5])/528 + 
       (54737*s[6])/2112 + (3456065*s[7])/19008 - (952807*s[8])/57024 - 
       (788177*s[9])/5184 - (60835*s[10])/1296 - (7337509*s[11])/38016 - 
       (7791251*s[12])/38016 - (774469*s[13])/6336 - (13082*s[14])/297 - 
       (151507*s[15])/576 - (109511*s[16])/352 - (9771023*s[17])/38016 - 
       (295151*s[18])/7776 - (8239*s[19])/486 - (64685249*s[20])/171072 - 
       (6600809*s[21])/42768 + (15955165*s[22])/171072 + 
       (2467999*s[23])/12672 + (66557561*s[24])/342144 - 
       (724793647*s[25])/3079296 + (466417075*s[26])/3079296 - s[31]/6 + 
       s[32]/8 - (5*s[33])/16 + (2*s[34])/3 + (13*s[35])/24 + s[36]/24 - 
       (103*s[37])/144 + (119*s[38])/48 - (1661*s[39])/96 + (607*s[40])/32 - 
       (569*s[41])/32 + (1261*s[42])/48 + (23971*s[43])/1056 - 
       (4469*s[44])/264 + (28619*s[45])/1056 - (26545*s[46])/132 + 
       (10529*s[47])/3168 + (3523*s[48])/396 - (549583*s[49])/6336 + 
       (75979*s[50])/528 + (57095*s[51])/6336 + (36127*s[52])/3168 - 
       (181171*s[53])/1584 + (18281*s[54])/1056 - (2412917*s[55])/3168 - 
       (1404145*s[56])/6336 + (385325*s[57])/9504 - (16419341*s[58])/57024 + 
       (17778935*s[59])/57024 + (62176039*s[60])/38016 - 
       (25031521*s[61])/256608 + s[68]/6 - s[69]/6 + s[74]/12 - s[75]/12 + 
       s[76]/3 + s[77]/6 - s[78]/6 + s[79] - (11*s[80])/12 + (27*s[82])/8 + 
       s[84] + s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]*((25*s[2])/144 - (453*s[3])/32 + (74833*s[4])/576 + 
       (26773*s[5])/352 + (1354117*s[6])/6336 + (75343091*s[7])/38016 - 
       (10886729*s[8])/57024 - (2182027*s[9])/1296 - (616649*s[10])/1296 - 
       (83075669*s[11])/38016 - (23090719*s[12])/9504 - 
       (2065013*s[13])/1408 - (4050869*s[14])/38016 - (8743285*s[15])/3456 - 
       (10338799*s[16])/3168 - (90092119*s[17])/38016 - 
       (2992171*s[18])/7776 - (3715927*s[19])/15552 - 
       (645943159*s[20])/171072 - (459896159*s[21])/342144 + 
       (360179503*s[22])/342144 + (247739*s[23])/99 + 
       (176451805*s[24])/85536 - (4358431897*s[25])/1539648 + 
       (2309308081*s[26])/1539648 - s[29]/6 + (3*s[30])/8 + (5*s[31])/18 + 
       (11*s[32])/24 + (13*s[33])/24 - (217*s[34])/72 - (25*s[35])/72 - 
       (1435*s[36])/216 + (2093*s[37])/432 + (261*s[38])/4 - 
       (14113*s[39])/48 + (135287*s[40])/432 - 258*s[41] + 
       (195001*s[42])/432 + (1061815*s[43])/4752 - (4590457*s[44])/19008 + 
       (2109691*s[45])/9504 - (6402701*s[46])/3168 + (8063567*s[47])/57024 - 
       (3652753*s[48])/57024 - (54941531*s[49])/57024 + 
       (3688109*s[50])/2376 + (19878685*s[51])/57024 + 
       (14938669*s[52])/57024 - (1255415*s[53])/1188 + (161675*s[54])/1584 - 
       (121661761*s[55])/19008 - (100184533*s[56])/57024 + 
       (244085939*s[57])/85536 - (1753638101*s[58])/513216 + 
       (1717422803*s[59])/513216 + (5339685035*s[60])/342144 - 
       (4088908301*s[61])/4618944 - s[65]/12 - s[66]/3 + s[67]/3 + 
       (17*s[68])/9 - (11*s[69])/9 - (5*s[70])/12 - (5*s[71])/12 + 
       (13*s[72])/12 + (43*s[73])/12 - (211*s[74])/144 + (211*s[75])/144 - 
       (25*s[76])/36 + (109*s[77])/72 + (61*s[78])/36 + (142*s[79])/9 + 
       (407*s[80])/216 - (365*s[82])/12 + s[83]/4 + (17*s[84])/2 + 
       (4*s[85])/3) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((-7*s[2])/12 - s[3]/2 + (23*s[4])/16 + (49*s[5])/8 + (1199*s[6])/96 + 
       (5671*s[7])/96 - (3559*s[8])/864 - (42259*s[9])/864 - 
       (2209*s[10])/108 - (32389*s[11])/576 - (28811*s[12])/576 - 
       (7235*s[13])/288 - (3221*s[14])/72 - (30787*s[15])/288 - 
       (16831*s[16])/144 - (71263*s[17])/576 - (21283*s[18])/1296 - 
       (2221*s[19])/648 - (392645*s[20])/2592 - (46745*s[21])/648 + 
       (75601*s[22])/2592 + (15485*s[23])/576 + (383369*s[24])/5184 - 
       (2663323*s[25])/46656 + (2546935*s[26])/46656 - s[31]/3 + s[32]/4 - 
       s[33]/4 + (5*s[34])/3 + (29*s[35])/24 + (25*s[36])/72 - s[37]/12 - 
       (11*s[38])/8 + (217*s[39])/48 - (419*s[40])/144 + (43*s[41])/48 - 
       (467*s[42])/72 + (649*s[43])/144 - (5*s[44])/18 + (1997*s[45])/144 - 
       (237*s[46])/4 - (2749*s[47])/432 + (1121*s[48])/108 - 
       (6907*s[49])/864 + (385*s[50])/9 - (7273*s[51])/864 - 
       (1499*s[52])/432 - (3157*s[53])/72 + (503*s[54])/48 - 
       (15379*s[55])/48 - (84161*s[56])/864 - (182987*s[57])/1296 - 
       (393157*s[58])/7776 + (557947*s[59])/7776 + (2876983*s[60])/5184 - 
       (378437*s[61])/8748 + s[68]/3 - s[69]/3 + s[74]/3 - s[75]/3 + 
       s[76]/3 + s[77]/3 - s[78]/3 + (2*s[79])/3 - (23*s[80])/18 + 
       (35*s[82])/4 + 2*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*
      HPL[{0, 1}, 1 - v]*(s[1]/48 + s[2]/4 + (5*s[3])/3 - (209*s[4])/144 + 
       (21649*s[5])/3168 + (597*s[6])/44 + (212879*s[7])/2112 - 
       (102101*s[8])/28512 - (228067*s[9])/2592 - (56647*s[10])/1296 - 
       (500807*s[11])/4752 - (1777141*s[12])/19008 - (1219403*s[13])/19008 - 
       (804413*s[14])/19008 - (103727*s[15])/576 - (917195*s[16])/4752 - 
       (1991731*s[17])/9504 + (15569*s[18])/3888 - (173711*s[19])/3888 - 
       (19172275*s[20])/85536 - (14544719*s[21])/171072 + 
       (8876401*s[22])/171072 + (117313*s[23])/19008 + 
       (24873367*s[24])/171072 - (99526951*s[25])/769824 + 
       (30832295*s[26])/384912 - s[32]/12 - (7*s[37])/24 + (143*s[38])/72 - 
       (625*s[39])/144 + (769*s[40])/144 + (577*s[41])/288 - (557*s[42])/96 + 
       (7207*s[43])/528 - (6205*s[44])/528 + (3599*s[45])/132 - 
       (190205*s[46])/1584 - (33899*s[47])/2376 + (14353*s[48])/594 - 
       (360653*s[49])/4752 + (99305*s[50])/1056 - (5297*s[51])/264 - 
       (30097*s[52])/2376 - (23242*s[53])/297 - (73373*s[54])/1584 - 
       (5463893*s[55])/9504 - (27649*s[56])/264 - (2199515*s[57])/9504 - 
       (2830843*s[58])/28512 + (4442755*s[59])/28512 + 
       (17221255*s[60])/14256 - (1017001*s[61])/21384 - s[68]/6 + s[69]/6 - 
       s[77]/6 + (181*s[82])/12 + 2*s[85]) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-973*s[2])/72 + (20*s[3])/3 - (4303*s[4])/36 - (159425*s[5])/792 - 
       (142237*s[6])/396 - (173818265*s[7])/57024 + (16673501*s[8])/85536 + 
       (20522251*s[9])/7776 + (6110783*s[10])/7776 + (190306691*s[11])/
        57024 + (102606155*s[12])/28512 + (1526535*s[13])/704 + 
       (37815953*s[14])/57024 + (7020509*s[15])/1728 + 
       (48414727*s[16])/9504 + (229615681*s[17])/57024 + 
       (14319851*s[18])/23328 + (261992*s[19])/729 + (1607702395*s[20])/
        256608 + (1241812169*s[21])/513216 - (828647227*s[22])/513216 - 
       (5156905*s[23])/1584 - (854597141*s[24])/256608 + 
       (1187425799*s[25])/288684 - (5571864415*s[26])/2309472 - s[29]/6 + 
       (3*s[30])/2 - (23*s[31])/9 - (19*s[32])/72 - (5*s[33])/36 + 
       (28*s[34])/9 + (41*s[35])/18 - (26*s[36])/27 - (2741*s[37])/144 - 
       (9079*s[38])/72 + (62867*s[39])/144 - (208753*s[40])/432 + 
       (8549*s[41])/24 - (529741*s[42])/864 - (1766183*s[43])/4752 + 
       (7105001*s[44])/19008 - (404807*s[45])/1056 + (28802119*s[46])/9504 - 
       (10526443*s[47])/57024 - (485335*s[48])/57024 + 
       (90442243*s[49])/57024 - (5207929*s[50])/2376 - 
       (24813761*s[51])/57024 - (21420317*s[52])/57024 + 
       (43701275*s[53])/28512 - (698255*s[54])/2376 + 
       (184875127*s[55])/19008 + (159042241*s[56])/57024 - 
       (80636915*s[57])/21384 + (2593316081*s[58])/513216 - 
       (2576957249*s[59])/513216 - (8280813499*s[60])/342144 + 
       (745328545*s[61])/577368 - (5*s[65])/18 - (10*s[66])/9 + 
       (31*s[67])/18 + s[68]/18 + (35*s[69])/9 - (29*s[70])/18 - 
       (13*s[71])/72 + (13*s[72])/9 - (29*s[73])/9 + (5*s[74])/18 - 
       (5*s[75])/18 + (7*s[76])/3 - (17*s[77])/9 + (85*s[78])/18 - 
       (187*s[79])/6 + (325*s[80])/24 + (81*s[82])/2 + (5*s[83])/6 - 
       14*s[84] + (8*s[85])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*((5*s[2])/2 - (107*s[3])/18 + 
       (126463*s[4])/144 + (210863*s[5])/396 + (1493849*s[6])/1056 + 
       (7637429*s[7])/594 - (3522865*s[8])/3168 - (3129217*s[9])/288 - 
       (225367*s[10])/72 - (90628345*s[11])/6336 - (100841795*s[12])/6336 - 
       (91782835*s[13])/9504 - (1643747*s[14])/1584 - (7121629*s[15])/432 - 
       (101544989*s[16])/4752 - (299089099*s[17])/19008 - 
       (6220321*s[18])/2592 - (4536245*s[19])/2592 - (710806169*s[20])/
        28512 - (255856597*s[21])/28512 + (21549875*s[22])/3168 + 
       (312333133*s[23])/19008 + (259465229*s[24])/19008 - 
       (9454996451*s[25])/513216 + (5084594597*s[26])/513216 + 2*s[30] + 
       (8*s[31])/3 - (5*s[32])/18 - (3*s[33])/4 - (19*s[34])/3 - 
       (52*s[35])/3 - (104*s[36])/3 + (2015*s[37])/36 + (38059*s[38])/72 - 
       (154361*s[39])/72 + (170609*s[40])/72 - (44657*s[41])/24 + 
       (450131*s[42])/144 + (1344911*s[43])/792 - (2971327*s[44])/1584 + 
       (113933*s[45])/66 - (2918941*s[46])/198 + (4138093*s[47])/4752 - 
       (40805*s[48])/297 - (37106551*s[49])/4752 + (988343*s[50])/88 + 
       (10252199*s[51])/4752 + (8577029*s[52])/4752 - (4027247*s[53])/528 + 
       (36215*s[54])/99 - (14150518*s[55])/297 - (30386713*s[56])/2376 + 
       (267982625*s[57])/14256 - (1044581365*s[58])/42768 + 
       (130712093*s[59])/5346 + (1682014805*s[60])/14256 - 
       (1178978519*s[61])/192456 + s[62]/6 + (7*s[68])/9 - (7*s[69])/9 - 
       (5*s[71])/6 + 8*s[72] - 13*s[74] + 13*s[75] - (28*s[76])/3 - 
       (17*s[77])/9 + (26*s[78])/3 + (592*s[79])/3 - (721*s[80])/18 - 
       (1147*s[82])/12 + 96*s[84] + (8*s[85])/3) + 
     HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]^3*((-3*s[2])/8 + (5*s[3])/2 + 
       (37*s[4])/64 + (24*s[5])/11 + (5697*s[6])/1408 + (157939*s[7])/4224 + 
       (14941*s[8])/12672 - (35581*s[9])/1152 - (14227*s[10])/576 - 
       (296801*s[11])/8448 - (214465*s[12])/8448 - (17357*s[13])/1408 - 
       (134719*s[14])/4224 - (26783*s[15])/384 - (111889*s[16])/1408 - 
       (812149*s[17])/8448 - (10523*s[18])/3456 - (62797*s[19])/3456 - 
       (1949471*s[20])/19008 - (1389985*s[21])/38016 + (341065*s[22])/19008 - 
       (116745*s[23])/2816 + (4544029*s[24])/76032 - 
       (23957063*s[25])/684288 + (17400239*s[26])/684288 - s[31]/2 - 
       s[32]/8 - (3*s[33])/8 + s[34]/2 + (3*s[35])/4 + (7*s[36])/12 - 
       (71*s[37])/48 - (31*s[38])/16 + (15*s[39])/2 - (73*s[40])/12 + 
       (231*s[41])/64 - (2381*s[42])/192 + (235*s[43])/528 - 
       (4691*s[44])/4224 + (2725*s[45])/264 - (6365*s[46])/176 - 
       (142649*s[47])/12672 + (257971*s[48])/12672 - (98689*s[49])/12672 + 
       (20413*s[50])/528 - (88741*s[51])/12672 - (133129*s[52])/12672 - 
       (55801*s[53])/2112 - (5461*s[54])/352 - (291085*s[55])/1408 - 
       (498689*s[56])/12672 - (2000887*s[57])/9504 + (1107833*s[58])/114048 - 
       (206915*s[59])/114048 + (33875737*s[60])/76032 - 
       (23728651*s[61])/1026432 - s[68]/2 + s[69]/2 + s[76]/2 - s[77]/2 - 
       s[78]/2 + s[79] - (11*s[80])/12 + (129*s[82])/8 + 3*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*
      ((3*s[2])/8 + (5*s[3])/2 + (283*s[4])/96 + (331*s[5])/528 + 
       (1811*s[6])/528 + (68633*s[7])/1584 - (3959*s[8])/4752 - 
       (7427*s[9])/216 - (15517*s[10])/864 - (153809*s[11])/3168 - 
       (88469*s[12])/1584 - (163709*s[13])/6336 - (60527*s[14])/3168 - 
       (12635*s[15])/288 - (484373*s[16])/6336 - (17881*s[17])/352 - 
       (22571*s[18])/1296 - (2743*s[19])/1296 - (6168397*s[20])/57024 - 
       (2031451*s[21])/57024 + (642505*s[22])/28512 + (27179*s[23])/3168 + 
       (1517023*s[24])/28512 - (435487*s[25])/8019 + 
       (16026277*s[26])/513216 - s[32]/8 - (71*s[37])/144 - (31*s[38])/48 + 
       (305*s[39])/96 - (161*s[40])/96 - (247*s[41])/96 - (283*s[42])/96 + 
       (89*s[43])/1056 - (2041*s[44])/1056 + (8353*s[45])/1056 - 
       (3891*s[46])/88 - (4867*s[47])/1584 + (21137*s[48])/1584 - 
       (7025*s[49])/1584 + (3511*s[50])/88 + (2231*s[51])/352 + 
       (202*s[52])/99 - (7465*s[53])/396 + (4309*s[54])/528 - 
       (151769*s[55])/1056 - (54665*s[56])/1056 - (5369*s[57])/99 - 
       (143885*s[58])/3168 + (3511*s[59])/176 + (2043895*s[60])/4752 - 
       (5654399*s[61])/171072 - s[68]/4 + s[69]/4 - s[77]/4 + (69*s[82])/4 + 
       3*s[85]) + HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-23*s[2])/48 + (2287*s[3])/96 + (57235*s[4])/576 + (2303*s[5])/32 + 
       (12929*s[6])/64 + (201983*s[7])/128 - (678011*s[8])/5184 - 
       (3368635*s[9])/2592 - (1084187*s[10])/2592 - (5898023*s[11])/3456 - 
       (795581*s[12])/432 - (3795389*s[13])/3456 - (932099*s[14])/3456 - 
       (7442057*s[15])/3456 - (1168603*s[16])/432 - (7521113*s[17])/3456 - 
       (2335565*s[18])/7776 - (3632219*s[19])/15552 - 
       (49281235*s[20])/15552 - (35515277*s[21])/31104 + 
       (25135729*s[22])/31104 + (1573219*s[23])/864 + (3368761*s[24])/1944 - 
       (304340581*s[25])/139968 + (168710491*s[26])/139968 - s[30]/8 - 
       s[31]/2 - s[32]/12 - (5*s[33])/2 + (19*s[34])/8 + (11*s[35])/8 - 
       (7*s[36])/9 + (1315*s[37])/144 + (1069*s[38])/36 - (4589*s[39])/32 + 
       (47645*s[40])/288 - (35747*s[41])/288 + (64271*s[42])/288 + 
       (28777*s[43])/288 - (21781*s[44])/192 + (44083*s[45])/288 - 
       (80093*s[46])/72 + (149125*s[47])/1728 - (80705*s[48])/1728 - 
       (700111*s[49])/1728 + (116593*s[50])/144 + (298471*s[51])/1728 + 
       (251837*s[52])/1728 - (505073*s[53])/864 + (4627*s[54])/24 - 
       (707059*s[55])/192 - (2043109*s[56])/1728 + (129097*s[57])/81 - 
       (30472559*s[58])/15552 + (29113793*s[59])/15552 + 
       (87194659*s[60])/10368 - (79052579*s[61])/139968 + s[65]/12 + 
       s[66]/3 - s[67]/6 + (5*s[68])/6 - (7*s[69])/6 - s[70]/6 + s[71]/24 - 
       (3*s[72])/4 + (7*s[73])/12 - (17*s[74])/48 + (17*s[75])/48 - 
       s[76]/12 + (7*s[77])/8 - (35*s[78])/12 + (113*s[79])/6 - 
       (605*s[80])/72 - (31*s[82])/2 - s[83]/4 + 9*s[84] + 3*s[85]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((65*s[2])/48 - (1817*s[3])/96 + (80419*s[4])/576 + 
       (143569*s[5])/1056 + (627629*s[6])/2112 + (99535523*s[7])/38016 - 
       (3763051*s[8])/19008 - (1941529*s[9])/864 - (585533*s[10])/864 - 
       (35811107*s[11])/12672 - (265951*s[12])/88 - (69685531*s[13])/38016 - 
       (5342615*s[14])/12672 - (12290885*s[15])/3456 - 
       (10409953*s[16])/2376 - (132388703*s[17])/38016 - (410065*s[18])/864 - 
       (593939*s[19])/1728 - (99631189*s[20])/19008 - 
       (223379705*s[21])/114048 + (158134061*s[22])/114048 + 
       (27386093*s[23])/9504 + (2509906*s[24])/891 - (1827590503*s[25])/
        513216 + (1035885577*s[26])/513216 + (7*s[29])/3 - s[30]/8 + 
       (17*s[31])/6 - s[32]/6 + (5*s[33])/2 - (25*s[34])/8 - (13*s[35])/8 - 
       (199*s[36])/36 + (1993*s[37])/144 + (1547*s[38])/18 - 
       (11591*s[39])/32 + (117071*s[40])/288 - (91589*s[41])/288 + 
       (153593*s[42])/288 + (95059*s[43])/288 - (63289*s[44])/192 + 
       (116065*s[45])/288 - (220523*s[46])/72 + (210181*s[47])/1728 + 
       (31507*s[48])/1728 - (2477935*s[49])/1728 + (337843*s[50])/144 + 
       (625147*s[51])/1728 + (516437*s[52])/1728 - (1456397*s[53])/864 + 
       (3289*s[54])/24 - (6192461*s[55])/576 - (4928677*s[56])/1728 + 
       (2892577*s[57])/1296 - (72377327*s[58])/15552 + 
       (74270549*s[59])/15552 + (259236319*s[60])/10368 - 
       (188809337*s[61])/139968 + s[65]/3 + (4*s[66])/3 - 3*s[67] - s[68]/2 - 
       (11*s[69])/2 - s[70] - (23*s[71])/24 + (5*s[72])/4 + (31*s[73])/12 - 
       (23*s[74])/16 + (23*s[75])/16 - (47*s[76])/12 + (15*s[77])/8 + 
       (5*s[78])/4 + (275*s[79])/6 - (383*s[80])/72 + (35*s[82])/2 - s[83] + 
       (47*s[84])/2 + 3*s[85]) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((23*s[2])/12 + (53*s[3])/18 - (307*s[4])/36 - 
       (4507*s[5])/792 - (3865*s[6])/264 - (1658411*s[7])/9504 + 
       (34211*s[8])/2376 + (65381*s[9])/432 + (20185*s[10])/432 + 
       (28241*s[11])/132 + (89015*s[12])/352 + (711233*s[13])/4752 - 
       (72445*s[14])/3168 + (189119*s[15])/864 + (2884753*s[16])/9504 + 
       (853867*s[17])/4752 + (13171*s[18])/432 + (2099*s[19])/72 + 
       (3135391*s[20])/9504 + (237443*s[21])/1782 - (2765663*s[22])/28512 - 
       (2838485*s[23])/9504 - (5705267*s[24])/28512 + 
       (68963867*s[25])/256608 - (19065523*s[26])/128304 + (31*s[32])/36 - 
       s[34] + s[36]/3 - (5*s[37])/2 - (997*s[38])/72 + (4229*s[39])/72 - 
       (4205*s[40])/72 + (1093*s[41])/24 - (6067*s[42])/72 - 
       (38069*s[43])/792 + (153413*s[44])/3168 - (5261*s[45])/792 + 
       (64913*s[46])/264 - (189401*s[47])/9504 - (103139*s[48])/9504 + 
       (2303915*s[49])/9504 - (47845*s[50])/264 - (349009*s[51])/9504 - 
       (285229*s[52])/9504 + (62155*s[53])/594 + (68089*s[54])/792 + 
       (5178257*s[55])/9504 + (352513*s[56])/3168 - (913615*s[57])/1188 + 
       (14258333*s[58])/28512 - (14761763*s[59])/28512 - 
       (111005363*s[60])/57024 + (5005997*s[61])/85536 - (5*s[68])/18 + 
       (5*s[69])/18 - s[76] - (5*s[77])/18 + (2*s[80])/3 - (7*s[82])/6 + 
       (10*s[85])/3) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((5*s[2])/12 + (25*s[3])/9 + (31*s[4])/72 - 
       (1025*s[5])/99 - (4935*s[6])/352 - (315619*s[7])/4752 + 
       (52423*s[8])/9504 + (59495*s[9])/864 + (2417*s[10])/432 + 
       (459689*s[11])/6336 + (510475*s[12])/6336 + (199145*s[13])/4752 + 
       (1039*s[14])/176 + (29083*s[15])/432 + (949471*s[16])/9504 + 
       (1135147*s[17])/19008 + (144977*s[18])/2592 - (120971*s[19])/2592 + 
       (981451*s[20])/7128 + (119357*s[21])/1188 - (1099855*s[22])/28512 - 
       (5089825*s[23])/19008 + (305629*s[24])/57024 + (46159*s[25])/704 - 
       (1426757*s[26])/19008 - (5*s[32])/36 - (5*s[37])/6 - (67*s[38])/18 + 
       (4705*s[39])/144 - (4465*s[40])/144 + (1457*s[41])/48 - 
       (1973*s[42])/36 - (11335*s[43])/1584 + (18169*s[44])/1584 + 
       (15149*s[45])/1584 + (15865*s[46])/264 - (34423*s[47])/1188 + 
       (225407*s[48])/4752 + (40327*s[49])/1188 - (2183*s[50])/66 - 
       (139511*s[51])/4752 - (79927*s[52])/2376 + (77489*s[53])/4752 - 
       (18773*s[54])/792 - (6313*s[55])/594 + (13433*s[56])/396 - 
       (3390931*s[57])/4752 + (3896341*s[58])/14256 - (3435697*s[59])/14256 - 
       (1165051*s[60])/28512 + (1634605*s[61])/85536 - (5*s[68])/18 + 
       (5*s[69])/18 - (5*s[77])/18 + (229*s[82])/12 + (10*s[85])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((3*s[2])/2 + 21*s[3] + (3821*s[4])/72 + (1370*s[5])/33 + 
       (56893*s[6])/528 + (3883261*s[7])/4752 - (887863*s[8])/14256 - 
       (887321*s[9])/1296 - (67207*s[10])/324 - (9055753*s[11])/9504 - 
       (10283147*s[12])/9504 - (772645*s[13])/1188 - (160729*s[14])/2376 - 
       (449861*s[15])/432 - (3344327*s[16])/2376 - (3156563*s[17])/3168 - 
       (802957*s[18])/3888 - (343997*s[19])/3888 - (34660033*s[20])/21384 - 
       (13582207*s[21])/21384 + (18219691*s[22])/42768 + 
       (12555913*s[23])/9504 + (75368165*s[24])/85536 - 
       (919058905*s[25])/769824 + (520023133*s[26])/769824 + s[32] - 
       (9*s[37])/2 + (2023*s[38])/36 - (2183*s[39])/12 + (2375*s[40])/12 - 
       (11981*s[41])/72 + (18019*s[42])/72 + (61553*s[43])/396 - 
       (68611*s[44])/396 + (2635*s[45])/44 - (167683*s[46])/198 + 
       (115307*s[47])/2376 + (133457*s[48])/2376 - (1693817*s[49])/2376 + 
       (86645*s[50])/132 + (132223*s[51])/792 + (136181*s[52])/1188 - 
       (219949*s[53])/594 - (11467*s[54])/132 - (1717759*s[55])/792 - 
       (109859*s[56])/198 + (2451853*s[57])/1188 - (11415677*s[58])/7128 + 
       (5815189*s[59])/3564 + (48940225*s[60])/7128 - 
       (11512495*s[61])/42768 - 2*s[68] + 2*s[69] - 2*s[77] - 48*s[82] + 
       4*s[85]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      (-2*s[2] + (27*s[3])/4 + (299*s[4])/4 + (11767*s[5])/132 + 
       (14143*s[6])/88 + (708575*s[7])/396 - (204595*s[8])/2376 - 
       (334763*s[9])/216 - (31705*s[10])/54 - (3044989*s[11])/1584 - 
       (3145487*s[12])/1584 - (482969*s[13])/396 - (79595*s[14])/198 - 
       (48445*s[15])/18 - (2496919*s[16])/792 - (1424315*s[17])/528 - 
       (136753*s[18])/648 - (277295*s[19])/648 - (13475107*s[20])/3564 - 
       (4958797*s[21])/3564 + (6765169*s[22])/7128 + (1923703*s[23])/1584 + 
       (31968155*s[24])/14256 - (305821201*s[25])/128304 + 
       (176624725*s[26])/128304 - 2*s[31] + (9*s[33])/4 - s[34] - 
       (31*s[36])/6 - (41*s[37])/18 + 68*s[38] - (333*s[39])/2 + 
       (551*s[40])/3 - (412*s[41])/3 + (2635*s[42])/12 + (13747*s[43])/66 - 
       (44467*s[44])/264 + (15615*s[45])/88 - (345491*s[46])/264 - 
       (4115*s[47])/792 + (114157*s[48])/792 - (684967*s[49])/792 + 
       (45569*s[50])/44 + (105167*s[51])/792 + (74639*s[52])/792 - 
       (589115*s[53])/792 - (15551*s[54])/132 - (3818875*s[55])/792 - 
       (276677*s[56])/264 + (65117*s[57])/198 - (119345*s[58])/66 + 
       (1674307*s[59])/792 + (13965175*s[60])/1188 - (20181631*s[61])/42768 - 
       s[68] + s[69] - s[70] - (5*s[71])/2 - s[74]/2 + s[75]/2 + 2*s[76] - 
       s[77] + 16*s[79] + (38*s[80])/3 - 48*s[82] + 4*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - u]*
      ((9*s[2])/4 + (119*s[3])/24 + (187*s[4])/16 + (305*s[5])/22 + 
       (41177*s[6])/1056 + (1017529*s[7])/3168 - (213841*s[8])/9504 - 
       (228191*s[9])/864 - (22987*s[10])/216 - (2216251*s[11])/6336 - 
       (2224241*s[12])/6336 - (740851*s[13])/3168 - (48187*s[14])/1584 - 
       (144905*s[15])/288 - (928979*s[16])/1584 - (377041*s[17])/704 + 
       (7465*s[18])/1296 - (83345*s[19])/648 - (17121455*s[20])/28512 - 
       (2579263*s[21])/14256 + (4672753*s[22])/28512 + (1297903*s[23])/6336 + 
       (25725995*s[24])/57024 - (244195333*s[25])/513216 + 
       (113983225*s[26])/513216 + s[31] - (5*s[32])/12 + (3*s[33])/4 - 
       2*s[34] - 2*s[35] - (7*s[36])/6 + (665*s[37])/72 + (299*s[38])/24 - 
       (419*s[39])/12 + (439*s[40])/12 - (211*s[41])/12 + (1877*s[42])/48 + 
       (2839*s[43])/66 - (37705*s[44])/1056 + (16637*s[45])/264 - 
       (12137*s[46])/33 - (9385*s[47])/1056 + (38839*s[48])/1056 - 
       (28415*s[49])/132 + (41089*s[50])/132 + (6751*s[51])/396 + 
       (5695*s[52])/1056 - (187015*s[53])/792 - (32839*s[54])/528 - 
       (4754087*s[55])/3168 - (106417*s[56])/396 - (1079417*s[57])/4752 - 
       (2862061*s[58])/7128 + (7145321*s[59])/14256 + (5343071*s[60])/1584 - 
       (9857899*s[61])/64152 - s[68]/3 + s[69]/3 - s[74]/4 + s[75]/4 - 
       s[76] - s[77]/3 + s[78] - 2*s[79] + (7*s[80])/3 + (65*s[82])/4 + 
       4*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*M1[w, v, u]*
      (-s[35]/3 - s[36]/3 - s[37]/6 - (5*s[38])/2 + (55*s[39])/3 - 23*s[40] + 
       (257*s[41])/12 - (101*s[42])/4 - 35*s[43] + 30*s[44] - (175*s[45])/4 + 
       (3557*s[46])/12 + (877*s[47])/72 - (2423*s[48])/72 + 
       (11357*s[49])/72 - (501*s[50])/2 - (757*s[51])/72 - (29*s[52])/9 + 
       (1678*s[53])/9 + (77*s[54])/4 + (28585*s[55])/24 + (16955*s[56])/72 + 
       (30419*s[57])/108 + (187909*s[58])/648 - (228967*s[59])/648 - 
       (1162049*s[60])/432 + (728827*s[61])/5832 + s[68] - s[69] - s[74]/6 + 
       s[75]/6 + (2*s[76])/3 + (2*s[77])/3 - s[80]/3 + 17*s[82] + 4*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[u, v, w]*(s[2]/2 + (10*s[3])/3 + 
       (163*s[4])/24 - (137*s[5])/132 + (249*s[6])/22 + (155339*s[7])/1584 - 
       (102*s[8])/11 - (1855*s[9])/24 - (137*s[10])/4 - (14615*s[11])/132 - 
       (65143*s[12])/528 - (116653*s[13])/1584 + (1421*s[14])/528 - 
       (18233*s[15])/144 - (17425*s[16])/99 - (103999*s[17])/792 - 
       (2903*s[18])/216 - (707*s[19])/27 - (214337*s[20])/1188 - 
       (243295*s[21])/4752 + (79637*s[22])/1584 + (151457*s[23])/1584 + 
       (63895*s[24])/528 - (6370453*s[25])/42768 + (2873503*s[26])/42768 - 
       s[32]/6 - s[37] + (5*s[38])/6 - (205*s[39])/24 + (253*s[40])/24 - 
       (61*s[41])/8 + (329*s[42])/24 + (2911*s[43])/264 - (6563*s[44])/528 + 
       (2899*s[45])/264 - (3907*s[46])/44 - (3055*s[47])/1584 + 
       (31463*s[48])/1584 - (90671*s[49])/1584 + (898*s[50])/11 + 
       (18679*s[51])/1584 + (4465*s[52])/1584 - (17851*s[53])/396 - 
       (1009*s[54])/33 - (399395*s[55])/1584 - (26143*s[56])/528 + 
       (23813*s[57])/396 - (566963*s[58])/4752 + (512627*s[59])/4752 + 
       (7614119*s[60])/9504 - (72539*s[61])/1782 - s[68]/3 + s[69]/3 - 
       s[77]/3 + 19*s[82] + 4*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      Omega2[u, v, w]*((10*s[2])/3 + (35*s[3])/4 + (235*s[4])/8 + 
       (315*s[5])/44 + (8489*s[6])/264 + (639403*s[7])/1584 - 
       (28817*s[8])/792 - (2987*s[9])/9 - (1051*s[10])/9 - 
       (77535*s[11])/176 - (62617*s[12])/132 - (447209*s[13])/1584 + 
       (7003*s[14])/528 - (26575*s[15])/48 - (544891*s[16])/792 - 
       (850753*s[17])/1584 - (181*s[18])/4 - (7475*s[19])/72 - 
       (199225*s[20])/264 - (1046887*s[21])/4752 + (983407*s[22])/4752 + 
       (334523*s[23])/792 + (1120001*s[24])/2376 - (12697871*s[25])/21384 + 
       (5896049*s[26])/21384 + (4*s[31])/3 - s[32] + s[33] - (14*s[34])/3 - 
       (11*s[35])/3 - (14*s[36])/9 - (17*s[37])/18 + 7*s[38] - 
       (146*s[39])/3 + (443*s[40])/9 - (128*s[41])/3 + (2593*s[42])/36 + 
       (4159*s[43])/99 - (4615*s[44])/99 + (24227*s[45])/396 - 
       (20169*s[46])/44 + (16427*s[47])/1188 + (5075*s[48])/1188 - 
       (262043*s[49])/1188 + (37633*s[50])/99 + (62155*s[51])/1188 + 
       (8752*s[52])/297 - (105187*s[53])/396 - (621*s[54])/22 - 
       (648557*s[55])/396 - (390715*s[56])/1188 + (300103*s[57])/3564 - 
       (1590887*s[58])/2673 + (6662753*s[59])/10692 + (13592833*s[60])/3564 - 
       (37730773*s[61])/192456 - (4*s[68])/3 + (4*s[69])/3 - (5*s[74])/6 + 
       (5*s[75])/6 - (4*s[76])/3 - (4*s[77])/3 + (4*s[78])/3 - (8*s[79])/3 + 
       (37*s[80])/9 + 22*s[82] + 4*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Nt[u, v, w]*(s[2]/2 + (10*s[3])/3 - (29*s[4])/24 + (391*s[5])/132 + 
       (633*s[6])/88 + (86567*s[7])/1584 + (907*s[8])/264 - (139*s[9])/3 - 
       (185*s[10])/6 - (32621*s[11])/528 - (15857*s[12])/264 - 
       (57517*s[13])/1584 - (22471*s[14])/528 - (11261*s[15])/144 - 
       (85181*s[16])/792 - (163481*s[17])/1584 - (371*s[18])/54 - 
       (4393*s[19])/216 - (88441*s[20])/594 - (261907*s[21])/4752 + 
       (15157*s[22])/528 - (38699*s[23])/792 + (70163*s[24])/792 - 
       (701539*s[25])/10692 + (957245*s[26])/21384 - s[32]/6 - s[37] + 
       (5*s[38])/6 + (125*s[39])/24 - (77*s[40])/24 + (21*s[41])/8 - 
       (355*s[42])/24 + (1393*s[43])/264 - (3791*s[44])/528 + 
       (4021*s[45])/264 - (2477*s[46])/44 - (23911*s[47])/1584 + 
       (52979*s[48])/1584 - (58727*s[49])/1584 + (524*s[50])/11 - 
       (17885*s[51])/1584 - (14279*s[52])/1584 - (2524*s[53])/99 - 
       (1721*s[54])/66 - (378275*s[55])/1584 - (28255*s[56])/528 - 
       (19300*s[57])/99 - (118295*s[58])/4752 + (129695*s[59])/4752 + 
       (6660683*s[60])/9504 - (196843*s[61])/7128 - s[68]/3 + s[69]/3 - 
       s[77]/3 + 25*s[82] + 4*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      Nt[u, v, w]*((-2*s[2])/3 + (9*s[3])/4 - (11*s[4])/3 + (51*s[5])/22 + 
       (415*s[6])/132 + (1249*s[7])/792 + (8369*s[8])/1188 - (257*s[9])/108 - 
       (505*s[10])/27 + (317*s[11])/198 + (11545*s[12])/792 + 
       (799*s[13])/66 - (37687*s[14])/792 - (1051*s[15])/72 - 
       (2983*s[16])/132 - (41417*s[17])/792 - (1805*s[18])/648 - 
       (4969*s[19])/648 - (366043*s[20])/7128 - (186061*s[21])/7128 + 
       (3497*s[22])/7128 - (28441*s[23])/264 + (170243*s[24])/7128 + 
       (1362059*s[25])/64152 + (239995*s[26])/64152 - (2*s[31])/3 - s[33]/2 + 
       (4*s[34])/3 + (4*s[35])/3 + (7*s[36])/9 - (13*s[37])/9 - (5*s[38])/2 + 
       (117*s[39])/8 - (893*s[40])/72 + (71*s[41])/8 - (1831*s[42])/72 - 
       (3295*s[43])/792 + (4043*s[44])/1584 + (5179*s[45])/792 + 
       (74*s[46])/11 - (76429*s[47])/4752 + (134177*s[48])/4752 + 
       (58369*s[49])/4752 + (701*s[50])/198 - (65333*s[51])/4752 - 
       (73025*s[52])/4752 + (122*s[53])/33 - (845*s[54])/44 - 
       (59959*s[55])/1584 - (51781*s[56])/4752 - (823931*s[57])/3564 + 
       (2881231*s[58])/42768 - (3169303*s[59])/42768 + 
       (4003895*s[60])/28512 - (374491*s[61])/48114 - s[68]/3 + s[69]/3 + 
       s[74]/6 - s[75]/6 + (2*s[76])/3 - s[77]/3 - (2*s[78])/3 + 
       (4*s[79])/3 - (14*s[80])/9 + 25*s[82] + 4*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*
      ((-11*s[2])/4 + s[3]/12 + (35*s[4])/9 + (5593*s[5])/396 + 
       (335*s[6])/22 + (23849*s[7])/132 - (294329*s[8])/14256 - 
       (191395*s[9])/1296 - (107441*s[10])/1296 - (1436333*s[11])/9504 - 
       (519131*s[12])/4752 - (386225*s[13])/9504 - (747341*s[14])/9504 - 
       (28637*s[15])/72 - (3479741*s[16])/9504 - (4082729*s[17])/9504 - 
       (62099*s[18])/3888 - (61141*s[19])/972 - (17858773*s[20])/42768 - 
       (13181351*s[21])/85536 + (7321357*s[22])/85536 + (301195*s[23])/9504 + 
       (21486769*s[24])/85536 - (8526497*s[25])/48114 + 
       (45937687*s[26])/384912 - 2*s[31] + s[32]/3 - (3*s[33])/2 + 4*s[34] + 
       4*s[35] + (7*s[36])/3 - (7*s[37])/3 - (247*s[38])/36 + (151*s[39])/9 - 
       (127*s[40])/9 + (415*s[41])/36 - (223*s[42])/12 + (167*s[43])/22 + 
       (2547*s[44])/352 + (598*s[45])/11 - (46223*s[46])/198 - 
       (174073*s[47])/9504 + (160019*s[48])/9504 - (200855*s[49])/9504 + 
       (10359*s[50])/44 - (34453*s[51])/3168 - (261467*s[52])/9504 - 
       (993653*s[53])/4752 - (2518*s[54])/99 - (13047937*s[55])/9504 - 
       (739751*s[56])/3168 - (259426*s[57])/297 - (676477*s[58])/9504 + 
       (185765*s[59])/1056 + (128717381*s[60])/57024 - 
       (18334235*s[61])/128304 - s[68]/3 + s[69]/3 + s[74]/2 - s[75]/2 + 
       2*s[76] - s[77]/3 - 2*s[78] + 4*s[79] - (14*s[80])/3 + (175*s[82])/6 + 
       4*s[85]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      (-s[2] - 29*s[3] - (1903*s[4])/72 - (190*s[5])/33 - (18857*s[6])/264 - 
       (1747277*s[7])/4752 + (252763*s[8])/7128 + (85639*s[9])/324 + 
       (31667*s[10])/324 + (1816219*s[11])/4752 + (955843*s[12])/2376 + 
       (1260863*s[13])/4752 + (360445*s[14])/4752 + (231595*s[15])/432 + 
       (1524307*s[16])/2376 + (298961*s[17])/528 + (42893*s[18])/972 + 
       (177629*s[19])/1944 + (14807711*s[20])/21384 + (9275047*s[21])/42768 - 
       (7020071*s[22])/42768 - (432781*s[23])/1188 - (2217607*s[24])/5346 + 
       (25232333*s[25])/48114 - (25784731*s[26])/96228 - 3*s[32] + 
       (9*s[37])/2 + (307*s[38])/36 - (205*s[39])/24 + (37*s[40])/24 - 
       (1151*s[41])/72 - (191*s[42])/72 + (17161*s[43])/792 - 
       (26269*s[44])/1584 - (475*s[45])/88 - (35369*s[46])/396 - 
       (129941*s[47])/4752 + (250285*s[48])/4752 - (711937*s[49])/4752 + 
       (6899*s[50])/66 - (2953*s[51])/176 - (87601*s[52])/4752 - 
       (65423*s[53])/1188 - (4051*s[54])/33 - (167029*s[55])/528 + 
       (79595*s[56])/1584 - (274103*s[57])/1188 - (32821*s[58])/14256 + 
       (911269*s[59])/14256 + (36695605*s[60])/28512 + (132059*s[61])/5346 - 
       2*s[68] - 2*s[77] + 68*s[82] + 4*s[85]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*(2*s[2] - (27*s[3])/4 - 
       (619*s[4])/36 - (9167*s[5])/132 - (59215*s[6])/528 - 
       (297265*s[7])/297 + (1008355*s[8])/14256 + (1083683*s[9])/1296 + 
       (237455*s[10])/648 + (9134197*s[11])/9504 + (8218871*s[12])/9504 + 
       (148618*s[13])/297 + (232687*s[14])/594 + (389167*s[15])/216 + 
       (8792431*s[16])/4752 + (6164131*s[17])/3168 + (341167*s[18])/3888 + 
       (1043819*s[19])/3888 + (46809457*s[20])/21384 + 
       (8792807*s[21])/10692 - (21077695*s[22])/42768 - 
       (4590919*s[23])/9504 - (108923207*s[24])/85536 + 
       (897289273*s[25])/769824 - (569011537*s[26])/769824 + 2*s[31] + 
       (3*s[33])/4 - 3*s[34] - (13*s[36])/6 + (121*s[37])/18 - 3*s[38] + 
       (2459*s[39])/72 - (3599*s[40])/72 + (757*s[41])/36 - (1445*s[42])/18 - 
       (62941*s[43])/792 + (1723*s[44])/44 - (21691*s[45])/198 + 
       (175957*s[46])/264 + (42835*s[47])/2376 - (14821*s[48])/297 + 
       (153353*s[49])/594 - (212123*s[50])/396 - (21137*s[51])/792 - 
       (10861*s[52])/2376 + (159515*s[53])/297 - (5031*s[54])/44 + 
       (8176591*s[55])/2376 + (598801*s[56])/792 + (507289*s[57])/396 + 
       (3563083*s[58])/7128 - (6383599*s[59])/7128 - (83143901*s[60])/14256 + 
       (10553479*s[61])/32076 + s[68] - s[69] + s[70] + s[71]/2 + s[74]/2 - 
       s[75]/2 - 2*s[76] + s[77] - 24*s[79] + (38*s[80])/3 + 68*s[82] + 
       4*s[85]) + HPL[{0, 1}, 1 - u]*M1[v, u, w]*(-s[2]/3 + (17*s[3])/4 - 
       (1207*s[4])/24 + (10187*s[5])/264 + (3529*s[6])/132 + 
       (312743*s[7])/4752 + (206213*s[8])/3564 - (60205*s[9])/648 - 
       (87827*s[10])/648 - (53393*s[11])/4752 + (290533*s[12])/2376 + 
       (61927*s[13])/528 - (1826147*s[14])/4752 - (34553*s[15])/144 - 
       (172213*s[16])/792 - (2209237*s[17])/4752 - (137405*s[18])/1944 + 
       (16889*s[19])/1944 - (11375125*s[20])/21384 - (14205263*s[21])/42768 + 
       (1421185*s[22])/42768 - (172253*s[23])/264 + (3536393*s[24])/21384 + 
       (70462207*s[25])/384912 + (38572181*s[26])/384912 + s[29] - s[30] - 
       (7*s[31])/3 + s[32]/6 - (11*s[33])/6 + (14*s[34])/3 - s[35]/3 + 
       (91*s[36])/18 - (91*s[37])/12 - (143*s[38])/6 + (2363*s[39])/24 - 
       (7357*s[40])/72 + (575*s[41])/8 - (10529*s[42])/72 - (5629*s[43])/72 + 
       (11819*s[44])/144 - (557*s[45])/8 + (22697*s[46])/36 - 
       (18595*s[47])/432 + (6179*s[48])/432 + (162877*s[49])/432 - 
       (9073*s[50])/18 - (40277*s[51])/432 - (28313*s[52])/432 + 
       (19253*s[53])/54 + (1097*s[54])/36 + (303727*s[55])/144 + 
       (211387*s[56])/432 - (107459*s[57])/162 + (3766535*s[58])/3888 - 
       (3986567*s[59])/3888 - (13225105*s[60])/2592 + (1067995*s[61])/4374 + 
       s[65]/3 + (4*s[66])/3 - (5*s[67])/3 - (2*s[68])/3 - (8*s[69])/3 - 
       (2*s[70])/3 - s[71]/3 - (4*s[72])/3 + (8*s[73])/3 + (2*s[74])/3 - 
       (2*s[75])/3 + 3*s[76] - s[77]/3 - (8*s[78])/3 - (5*s[80])/2 - s[83] + 
       4*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((-75*s[2])/8 + (181*s[3])/8 - (1489*s[4])/9 - 
       (131005*s[5])/528 - (241987*s[6])/528 - (77794147*s[7])/19008 + 
       (3970465*s[8])/14256 + (1152821*s[9])/324 + (355039*s[10])/324 + 
       (5291585*s[11])/1188 + (2832887*s[12])/594 + (13820767*s[13])/4752 + 
       (7939747*s[14])/9504 + (9602189*s[15])/1728 + (130311163*s[16])/
        19008 + (2886443*s[17])/528 + (5707895*s[18])/7776 + 
       (4370239*s[19])/7776 + (44762965*s[20])/5346 + 
       (271185577*s[21])/85536 - (46583597*s[22])/21384 - 
       (75970361*s[23])/19008 - (776070697*s[24])/171072 + 
       (4259848801*s[25])/769824 - (1229012705*s[26])/384912 - s[27]/12 - 
       s[29] + (19*s[30])/12 - (11*s[31])/3 + (11*s[32])/24 - (25*s[33])/16 + 
       (97*s[34])/12 + (31*s[35])/4 + (41*s[36])/36 - (3511*s[37])/144 - 
       (3833*s[38])/24 + (80773*s[39])/144 - (29887*s[40])/48 + 
       (4138*s[41])/9 - (229321*s[42])/288 - (92555*s[43])/176 + 
       (1574285*s[44])/3168 - (569197*s[45])/1056 + (13312663*s[46])/3168 - 
       (194185*s[47])/1056 - (101147*s[48])/1056 + (3519745*s[49])/1584 - 
       (205819*s[50])/66 - (645973*s[51])/1188 - (1393093*s[52])/3168 + 
       (1170709*s[53])/528 - (409201*s[54])/1584 + (133815823*s[55])/9504 + 
       (168131*s[56])/44 - (6234077*s[57])/1584 + (10497733*s[58])/1584 - 
       (1195723*s[59])/176 - (72749263*s[60])/2112 + (75265211*s[61])/42768 - 
       s[65]/4 - s[66] + (3*s[67])/2 - (2*s[68])/3 + (19*s[69])/6 - 2*s[70] + 
       (11*s[71])/24 - (2*s[73])/3 + (5*s[74])/6 - (5*s[75])/6 + 
       (37*s[76])/6 + s[77]/3 + (10*s[78])/3 - (301*s[79])/6 + 
       (869*s[80])/72 + (111*s[82])/2 + (3*s[83])/4 - (35*s[84])/2 + 
       4*s[85]) + HPL[{0, 1}, 1 - v]*M1[v, u, w]*((-37*s[2])/6 + 
       (82*s[3])/3 + (1273*s[4])/6 + (13039*s[5])/264 + (59725*s[6])/264 + 
       (2739893*s[7])/1188 - (1895365*s[8])/7128 - (1197527*s[9])/648 - 
       (373675*s[10])/648 - (6107759*s[11])/2376 - (1732015*s[12])/594 - 
       (4104847*s[13])/2376 + (50647*s[14])/2376 - (658589*s[15])/216 - 
       (9366805*s[16])/2376 - (286151*s[17])/99 - (663985*s[18])/1944 - 
       (114883*s[19])/243 - (46043113*s[20])/10692 - (3680860*s[21])/2673 + 
       (25331155*s[22])/21384 + (1852331*s[23])/594 + (6893960*s[24])/2673 - 
       (1330079875*s[25])/384912 + (654403075*s[26])/384912 - 3*s[29] + 
       2*s[30] - (17*s[31])/3 - (7*s[32])/6 - (25*s[33])/6 + (19*s[34])/3 - 
       (8*s[35])/3 - (203*s[36])/18 + (245*s[37])/36 + (455*s[38])/6 - 
       (8213*s[39])/24 + (26795*s[40])/72 - (7051*s[41])/24 + 
       (36889*s[42])/72 + (199225*s[43])/792 - (481793*s[44])/1584 + 
       (210919*s[45])/792 - (465605*s[46])/198 + (737437*s[47])/4752 - 
       (252497*s[48])/4752 - (5910775*s[49])/4752 + (363607*s[50])/198 + 
       (1738043*s[51])/4752 + (1271975*s[52])/4752 - (377042*s[53])/297 + 
       (10493*s[54])/396 - (12358241*s[55])/1584 - (3173339*s[56])/1584 + 
       (269876*s[57])/99 - (54133067*s[58])/14256 + (55030487*s[59])/14256 + 
       (537534331*s[60])/28512 - (63970583*s[61])/64152 - (2*s[65])/3 - 
       (8*s[66])/3 + (13*s[67])/3 + (4*s[68])/3 + (22*s[69])/3 - 
       (2*s[70])/3 + (2*s[71])/3 + (10*s[72])/3 - 6*s[73] - (7*s[74])/2 + 
       (7*s[75])/2 + (7*s[76])/3 - (8*s[77])/3 + (22*s[78])/3 + 
       (68*s[79])/3 - (175*s[80])/18 + 30*s[82] + 2*s[83] + 6*s[84] + 
       4*s[85]) + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((11*s[2])/3 - (547*s[3])/48 + (2801*s[4])/288 + (331429*s[5])/3168 + 
       (4582*s[6])/33 + (24730775*s[7])/19008 - (404957*s[8])/7128 - 
       (3035101*s[9])/2592 - (1087115*s[10])/2592 - (26022671*s[11])/19008 - 
       (13149305*s[12])/9504 - (1647227*s[13])/2112 - (8729903*s[14])/19008 - 
       (3213875*s[15])/1728 - (7088489*s[16])/3168 - (37056295*s[17])/19008 - 
       (580595*s[18])/1944 - (255673*s[19])/1944 - (62503339*s[20])/21384 - 
       (206729609*s[21])/171072 + (119540371*s[22])/171072 + 
       (1560847*s[23])/1584 + (121862399*s[24])/85536 - 
       (2405467457*s[25])/1539648 + (1614976433*s[26])/1539648 + 
       (2*s[29])/3 - s[30] + s[31] - (25*s[32])/24 - (23*s[33])/48 - 
       (7*s[34])/6 - (13*s[35])/12 + (19*s[36])/12 + (85*s[37])/144 + 
       (2015*s[38])/72 - (17713*s[39])/144 + (20221*s[40])/144 - 
       (967*s[41])/9 + (8759*s[42])/48 + (20431*s[43])/176 - 
       (226283*s[44])/2112 + (521501*s[45])/3168 - (400233*s[46])/352 + 
       (944219*s[47])/19008 - (28489*s[48])/19008 - (9566549*s[49])/19008 + 
       (115231*s[50])/132 + (86353*s[51])/704 + (1985485*s[52])/19008 - 
       (1984655*s[53])/3168 + (8753*s[54])/264 - (76887487*s[55])/19008 - 
       (20161159*s[56])/19008 + (21040037*s[57])/28512 - 
       (294355997*s[58])/171072 + (301123025*s[59])/171072 + 
       (1062266189*s[60])/114048 - (50630483*s[61])/96228 + s[65]/4 + s[66] - 
       (7*s[67])/6 + s[68]/3 - (8*s[69])/3 + s[70]/3 - (3*s[71])/8 - 
       s[72]/6 + s[73]/6 + s[74]/8 - s[75]/8 + s[76]/2 + (25*s[77])/12 - 
       s[78]/6 + (77*s[79])/6 - (239*s[80])/72 + (209*s[82])/6 - 
       (3*s[83])/4 + (13*s[84])/2 + 4*s[85]) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      ((121*s[2])/24 - s[3]/2 + (10829*s[4])/96 + (43849*s[5])/1056 + 
       (42545*s[6])/264 + (3408733*s[7])/2376 - (761171*s[8])/4752 - 
       (126853*s[9])/108 - (262885*s[10])/864 - (560959*s[11])/352 - 
       (5741317*s[12])/3168 - (10243565*s[13])/9504 + (705*s[14])/352 - 
       (814085*s[15])/432 - (11383045*s[16])/4752 - (15978601*s[17])/9504 - 
       (114155*s[18])/432 - (12215*s[19])/72 - (25540109*s[20])/9504 - 
       (26839255*s[21])/28512 + (21318757*s[22])/28512 + 
       (20592475*s[23])/9504 + (43302625*s[24])/28512 - 
       (541703887*s[25])/256608 + (142356761*s[26])/128304 - s[29]/6 + 
       (3*s[30])/8 + (43*s[31])/12 + s[32]/12 + (281*s[33])/96 - 
       (21*s[34])/8 - (21*s[35])/4 - (269*s[36])/36 + (43*s[37])/12 + 
       (387*s[38])/8 - (2795*s[39])/12 + (2231*s[40])/9 - (1213*s[41])/6 + 
       (6401*s[42])/18 + (39767*s[43])/198 - (592685*s[44])/3168 + 
       (13661*s[45])/66 - (350861*s[46])/198 + (234055*s[47])/2376 - 
       (64675*s[48])/4752 - (262760*s[49])/297 + (2095279*s[50])/1584 + 
       (61846*s[51])/297 + (1752161*s[52])/9504 - (4635779*s[53])/4752 + 
       (159569*s[54])/1584 - (1590389*s[55])/264 - (1976123*s[56])/1188 + 
       (26042933*s[57])/14256 - (60198443*s[58])/21384 + 
       (62227205*s[59])/21384 + (49836337*s[60])/3564 - 
       (614608655*s[61])/769824 - s[65]/12 - s[66]/3 + s[67]/3 + 
       (17*s[68])/12 - (3*s[69])/4 - s[70]/6 + (5*s[72])/6 - (13*s[73])/6 - 
       (11*s[74])/12 + (11*s[75])/12 - (9*s[76])/2 + (17*s[77])/12 + 
       5*s[78] + (43*s[79])/6 + (5*s[80])/3 - (63*s[82])/4 + s[83]/4 + 
       (17*s[84])/2 + 4*s[85]) + HPL[{0, 1}, 1 - w]*M1[u, v, w]*
      ((11*s[2])/2 + (21*s[3])/4 + 240*s[4] + (19469*s[5])/132 + 
       (55895*s[6])/132 + (17225039*s[7])/4752 - (2129441*s[8])/7128 - 
       (985283*s[9])/324 - (583463*s[10])/648 - (1191626*s[11])/297 - 
       (10516277*s[12])/2376 - (2151811*s[13])/792 - (836689*s[14])/2376 - 
       (682769*s[15])/144 - (9584653*s[16])/1584 - (10775999*s[17])/2376 - 
       (1241243*s[18])/1944 - (519767*s[19])/972 - (75196877*s[20])/10692 - 
       (6744707*s[21])/2673 + (10174979*s[22])/5346 + (6933073*s[23])/1584 + 
       (169094353*s[24])/42768 - (1993106075*s[25])/384912 + 
       (1073170463*s[26])/384912 + (4*s[29])/3 + s[30]/2 + (8*s[31])/3 + 
       (5*s[32])/6 + (53*s[33])/24 - (19*s[34])/6 - (8*s[35])/3 - 
       (187*s[36])/18 + (101*s[37])/12 + (881*s[38])/6 - (13027*s[39])/24 + 
       (43213*s[40])/72 - (3775*s[41])/8 + (55805*s[42])/72 + 
       (389519*s[43])/792 - (195145*s[44])/396 + (130087*s[45])/264 - 
       (398671*s[46])/99 + (194765*s[47])/1188 + (208129*s[48])/2376 - 
       (635747*s[49])/297 + (1205191*s[50])/396 + (1248635*s[51])/2376 + 
       (1049111*s[52])/2376 - (4996693*s[53])/2376 + (26821*s[54])/198 - 
       (438458*s[55])/33 - (1063052*s[56])/297 + (3677951*s[57])/891 - 
       (34252817*s[58])/5346 + (69504463*s[59])/10692 + 
       (466597009*s[60])/14256 - (326119169*s[61])/192456 + s[65]/6 + 
       (2*s[66])/3 - (5*s[67])/3 - (2*s[68])/3 - (8*s[69])/3 - (2*s[70])/3 - 
       (7*s[71])/6 + (4*s[72])/3 + (10*s[73])/3 - 2*s[74] + 2*s[75] - 
       (16*s[76])/3 + (4*s[77])/3 + (4*s[78])/3 + 42*s[79] + s[80]/6 - 
       72*s[82] - s[83]/2 + 25*s[84] + 4*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*
      ((13*s[2])/3 + (155*s[3])/24 + (7707*s[4])/16 + (184061*s[5])/528 + 
       (220477*s[6])/264 + (72868055*s[7])/9504 - (261989*s[8])/396 - 
       (103405*s[9])/16 - (280463*s[10])/144 - (26606225*s[11])/3168 - 
       (2420555*s[12])/264 - (52551709*s[13])/9504 - (2488025*s[14])/3168 - 
       (8928659*s[15])/864 - (30756229*s[16])/2376 - (95002925*s[17])/9504 - 
       (434003*s[18])/324 - (754109*s[19])/648 - (214300051*s[20])/14256 - 
       (154530559*s[21])/28512 + (38252881*s[22])/9504 + 
       (11173279*s[23])/1188 + (6593857*s[24])/792 - (2771897023*s[25])/
        256608 + (1504277893*s[26])/256608 - s[28]/12 + (11*s[29])/6 + 
       s[30]/2 + (9*s[31])/2 + (7*s[32])/6 + (103*s[33])/24 - (25*s[34])/3 - 
       (11*s[35])/3 - (1169*s[36])/72 + (641*s[37])/18 + (6337*s[38])/24 - 
       (103141*s[39])/96 + (340163*s[40])/288 - (28937*s[41])/32 + 
       (452173*s[42])/288 + (2837809*s[43])/3168 - (6015203*s[44])/6336 + 
       (1600987*s[45])/1584 - (8505347*s[46])/1056 + (7883065*s[47])/19008 - 
       (660173*s[48])/19008 - (76997479*s[49])/19008 + (2442461*s[50])/396 + 
       (19951427*s[51])/19008 + (15867521*s[52])/19008 - 
       (6891569*s[53])/1584 + (10223*s[54])/44 - (57961147*s[55])/2112 - 
       (138144005*s[56])/19008 + (116020415*s[57])/14256 - 
       (2191595827*s[58])/171072 + (2243166457*s[59])/171072 + 
       (7417961305*s[60])/114048 - (5356306051*s[61])/1539648 + s[64]/6 - 
       (2*s[66])/3 - (4*s[67])/3 - s[68]/3 - (8*s[69])/3 - s[70] - 
       (11*s[71])/12 + 4*s[72] - (7*s[73])/4 - (9*s[74])/2 + (14*s[75])/3 - 
       (38*s[76])/3 + (10*s[77])/3 + (107*s[78])/12 + 96*s[79] - 
       (415*s[80])/36 + 24*s[82] + s[83] + 45*s[84] + 4*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((44*s[2])/3 + (73*s[3])/4 + (1550*s[4])/3 + (90977*s[5])/264 + 
       (9908*s[6])/11 + (2431027*s[7])/297 - (1078729*s[8])/1782 - 
       (1126295*s[9])/162 - (1363009*s[10])/648 - (42958183*s[11])/4752 - 
       (47132819*s[12])/4752 - (795121*s[13])/132 - (2084525*s[14])/2376 - 
       (258499*s[15])/24 - (2711591*s[16])/198 - (48910907*s[17])/4752 - 
       (2956327*s[18])/1944 - (279166*s[19])/243 - (345892205*s[20])/21384 - 
       (62725393*s[21])/10692 + (23148193*s[22])/5346 + (1720385*s[23])/176 + 
       (379944035*s[24])/42768 - (2223466403*s[25])/192456 + 
       (1215808277*s[26])/192456 - s[27]/2 + (8*s[29])/3 + s[30] + 12*s[31] + 
       (2*s[32])/3 + (44*s[33])/3 - (59*s[34])/3 - (44*s[35])/3 - 
       (302*s[36])/9 + (91*s[37])/36 + (1999*s[38])/6 - (28379*s[39])/24 + 
       (93313*s[40])/72 - (8313*s[41])/8 + (121523*s[42])/72 + 
       (817703*s[43])/792 - (1638589*s[44])/1584 + (441037*s[45])/396 - 
       (6944719*s[46])/792 + (1835771*s[47])/4752 + (578801*s[48])/4752 - 
       (21412631*s[49])/4752 + (655687*s[50])/99 + (5677651*s[51])/4752 + 
       (4872955*s[52])/4752 - (10764893*s[53])/2376 + (31870*s[54])/99 - 
       (45518303*s[55])/1584 - (1379699*s[56])/176 + (2861567*s[57])/297 - 
       (202741925*s[58])/14256 + (203518991*s[59])/14256 + 
       (2017803773*s[60])/28512 - (161738749*s[61])/42768 + s[65]/3 + 
       (4*s[66])/3 - (10*s[67])/3 - s[68] - (17*s[69])/3 - (4*s[70])/3 - 
       (35*s[71])/6 + (8*s[72])/3 + (20*s[73])/3 - (31*s[74])/6 + 
       (31*s[75])/6 - (52*s[76])/3 + 3*s[77] + (16*s[78])/3 + (200*s[79])/3 + 
       (673*s[80])/18 - 222*s[82] - s[83] + 50*s[84] + 4*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*
      ((5*s[2])/6 + (427*s[3])/72 - (27787*s[4])/288 - (209039*s[5])/3168 - 
       (5915*s[6])/33 - (19106339*s[7])/12672 + (3854339*s[8])/28512 + 
       (3306595*s[9])/2592 + (223703*s[10])/648 + (31659065*s[11])/19008 + 
       (17532227*s[12])/9504 + (21672221*s[13])/19008 + 
       (1213579*s[14])/9504 + (6801035*s[15])/3456 + (94278607*s[16])/38016 + 
       (35017163*s[17])/19008 + (4182229*s[18])/15552 + 
       (3046079*s[19])/15552 + (7708310*s[20])/2673 + 
       (44620799*s[21])/42768 - (135964975*s[22])/171072 - 
       (74114357*s[23])/38016 - (541798193*s[24])/342144 + 
       (52007837*s[25])/24057 - (1797512891*s[26])/1539648 - s[29]/4 - 
       (17*s[30])/24 - (11*s[31])/12 - (79*s[32])/144 - (55*s[33])/48 + 
       (43*s[34])/24 - s[35]/8 + (275*s[36])/72 - (2809*s[37])/288 - 
       (9241*s[38])/144 + (73945*s[39])/288 - (26963*s[40])/96 + 
       (5065*s[41])/24 - (71663*s[42])/192 - (688199*s[43])/3168 + 
       (699779*s[44])/3168 - (448739*s[45])/2112 + (1261421*s[46])/704 - 
       (38261*s[47])/396 + (22867*s[48])/3168 + (1988881*s[49])/2112 - 
       (2127725*s[50])/1584 - (1588207*s[51])/6336 - (27353*s[52])/132 + 
       (1121437*s[53])/1188 - (296029*s[54])/3168 + (56099893*s[55])/9504 + 
       (29984489*s[56])/19008 - (57952495*s[57])/28512 + 
       (495993433*s[58])/171072 - (505079041*s[59])/171072 - 
       (45376861*s[60])/3168 + (568450283*s[61])/769824 - s[65]/12 - 
       s[66]/3 + (5*s[67])/12 - (67*s[68])/72 + (109*s[69])/72 + 
       (4*s[70])/3 + (13*s[71])/48 - (7*s[72])/12 - (5*s[73])/4 + 
       (9*s[74])/8 - (9*s[75])/8 + (8*s[76])/3 - (17*s[77])/9 - 
       (25*s[78])/12 - (289*s[79])/12 + (559*s[80])/144 + (485*s[82])/12 + 
       s[83]/4 - (21*s[84])/2 + (25*s[85])/6) + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]^2*((-27*s[2])/16 + (67*s[3])/6 + 
       (11*s[4])/6 + (34813*s[5])/1056 + (17159*s[6])/352 + 
       (2843473*s[7])/6336 + (22967*s[8])/4752 - (339031*s[9])/864 - 
       (174851*s[10])/864 - (2955587*s[11])/6336 - (1341227*s[12])/3168 - 
       (1641919*s[13])/6336 - (1505813*s[14])/6336 - (432125*s[15])/576 - 
       (1358173*s[16])/1584 - (1836469*s[17])/2112 - (95897*s[18])/2592 - 
       (51233*s[19])/324 - (7681657*s[20])/7128 - (23140091*s[21])/57024 + 
       (13319173*s[22])/57024 - (389321*s[23])/3168 + 
       (18715409*s[24])/28512 - (273303761*s[25])/513216 + 
       (177030257*s[26])/513216 - (29*s[32])/24 - (7*s[36])/3 - 
       (45*s[37])/8 + (133*s[38])/24 + (1541*s[39])/48 - (1609*s[40])/48 + 
       24*s[41] - (221*s[42])/3 + (2359*s[43])/176 - (23*s[44])/22 + 
       (44621*s[45])/528 - (11945*s[46])/44 - (24991*s[47])/396 + 
       (153971*s[48])/1584 - (169841*s[49])/1584 + (138179*s[50])/528 - 
       (86543*s[51])/1584 - (65741*s[52])/1584 - (302009*s[53])/1584 - 
       (61745*s[54])/528 - (1206899*s[55])/792 - (382685*s[56])/1584 - 
       (12480917*s[57])/9504 - (61463*s[58])/1782 + (1976533*s[59])/14256 + 
       (15674143*s[60])/4752 - (36940181*s[61])/256608 - (11*s[68])/12 + 
       (11*s[69])/12 - s[71]/2 - s[73] - (11*s[77])/12 - 6*s[79] + 
       (37*s[80])/6 + (211*s[82])/4 + 5*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]^2*
      ((-83*s[2])/24 - (35*s[3])/16 - (1483*s[4])/96 - (22963*s[5])/1056 - 
       (23737*s[6])/528 - (2772653*s[7])/6336 + (54377*s[8])/2376 + 
       (339793*s[9])/864 + (92981*s[10])/864 + (3047075*s[11])/6336 + 
       (837319*s[12])/1584 + (647863*s[13])/2112 + (299747*s[14])/6336 + 
       (323701*s[15])/576 + (125047*s[16])/176 + (3188311*s[17])/6336 + 
       (299447*s[18])/2592 + (32281*s[19])/2592 + (25841305*s[20])/28512 + 
       (20435735*s[21])/57024 - (13539265*s[22])/57024 - (329075*s[23])/528 - 
       (11831573*s[24])/28512 + (304346687*s[25])/513216 - 
       (183802991*s[26])/513216 + s[27]/16 - (43*s[31])/12 + s[32]/2 - 
       (13*s[33])/4 + (17*s[34])/3 + (19*s[35])/6 + (713*s[36])/144 + 
       (277*s[37])/144 - (667*s[38])/48 + (9679*s[39])/192 - 
       (28865*s[40])/576 + (7573*s[41])/192 - (44755*s[42])/576 - 
       (198355*s[43])/6336 + (284705*s[44])/12672 - (71327*s[45])/1584 + 
       (629659*s[46])/2112 - (1277755*s[47])/38016 + (1276775*s[48])/38016 + 
       (3902257*s[49])/38016 - (143867*s[50])/792 - (1910933*s[51])/38016 - 
       (2562635*s[52])/38016 + (824561*s[53])/6336 - (72619*s[54])/1056 + 
       (10180435*s[55])/12672 + (12062939*s[56])/38016 - 
       (24646841*s[57])/28512 + (227858065*s[58])/342144 - 
       (211545727*s[59])/342144 - (425934391*s[60])/228096 + 
       (507297367*s[61])/3079296 - (11*s[68])/12 + (11*s[69])/12 + 
       (17*s[71])/16 + (5*s[74])/24 - (5*s[75])/24 + (43*s[76])/12 - 
       (11*s[77])/12 - (11*s[78])/6 + (29*s[79])/3 - (989*s[80])/72 + 
       (219*s[82])/4 + 5*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^4*
      HPL[{1}, 1 - w]*((2*s[2])/3 + (47*s[3])/48 + (323*s[4])/16 + 
       (2447*s[5])/132 + (28497*s[6])/704 + (6915857*s[7])/19008 - 
       (1613735*s[8])/57024 - (1585021*s[9])/5184 - (34985*s[10])/324 - 
       (14784041*s[11])/38016 - (15441409*s[12])/38016 - 
       (572839*s[13])/2376 - (1431733*s[14])/19008 - (882121*s[15])/1728 - 
       (6016321*s[16])/9504 - (6797711*s[17])/12672 - (872855*s[18])/15552 - 
       (1122973*s[19])/15552 - (127426825*s[20])/171072 - 
       (702274*s[21])/2673 + (16172659*s[22])/85536 + 
       (11165741*s[23])/38016 + (147555613*s[24])/342144 - 
       (1512544313*s[25])/3079296 + (829044191*s[26])/3079296 + s[31]/6 - 
       s[32]/4 - (7*s[33])/48 + s[34]/12 - s[35]/12 - s[36]/2 - 
       (19*s[37])/36 + (349*s[38])/48 - (95*s[39])/3 + (443*s[40])/12 - 
       (127*s[41])/4 + (4255*s[42])/96 + (8869*s[43])/264 - 
       (9643*s[44])/264 + (99149*s[45])/1584 - (159305*s[46])/396 + 
       (7057*s[47])/1584 + (50183*s[48])/3168 - (61885*s[49])/396 + 
       (21413*s[50])/66 + (7285*s[51])/198 + (40643*s[52])/1584 - 
       (2229593*s[53])/9504 + (14741*s[54])/792 - (4885381*s[55])/3168 - 
       (3699937*s[56])/9504 - (1059071*s[57])/28512 - 
       (22469971*s[58])/42768 + (46395485*s[59])/85536 + 
       (65374117*s[60])/19008 - (155246231*s[61])/769824 - s[68]/6 + 
       s[69]/6 + s[72]/6 + s[73]/3 - s[74]/8 + s[75]/8 + s[76]/12 - s[77]/4 + 
       s[78]/6 + (8*s[79])/3 - (29*s[80])/36 + (203*s[82])/8 + s[84] + 
       5*s[85]) + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      ((-245*s[2])/96 + (3319*s[3])/576 - (3155*s[4])/1152 - 
       (221585*s[5])/6336 - (65707*s[6])/1408 - (37580383*s[7])/76032 + 
       (2449951*s[8])/114048 + (1145981*s[9])/2592 + (98671*s[10])/648 + 
       (40854619*s[11])/76032 + (10750043*s[12])/19008 + 
       (8552143*s[13])/25344 + (9525031*s[14])/76032 + (518617*s[15])/768 + 
       (10487695*s[16])/12672 + (50719997*s[17])/76032 + 
       (1486325*s[18])/15552 + (2125385*s[19])/31104 + 
       (361372343*s[20])/342144 + (284713741*s[21])/684288 - 
       (183260969*s[22])/684288 - (522581*s[23])/1408 - 
       (190867195*s[24])/342144 + (1970761301*s[25])/3079296 - 
       (1197855215*s[26])/3079296 - s[29]/3 + (19*s[30])/48 - (19*s[31])/12 - 
       (55*s[32])/72 - (7*s[33])/12 + (131*s[34])/48 + (139*s[35])/48 + 
       (79*s[36])/72 - (1127*s[37])/288 - (1495*s[38])/72 + 
       (39553*s[39])/576 - (4529*s[40])/64 + (9713*s[41])/192 - 
       (6141*s[42])/64 - (388391*s[43])/6336 + (353789*s[44])/6336 - 
       (254453*s[45])/6336 + (630515*s[46])/1584 - (17583*s[47])/704 - 
       (461*s[48])/198 + (1688129*s[49])/6336 - (924707*s[50])/3168 - 
       (195329*s[51])/3168 - (163337*s[52])/3168 + (604885*s[53])/3168 + 
       (45197*s[54])/3168 + (22378297*s[55])/19008 + (1778333*s[56])/6336 - 
       (1803841*s[57])/3168 + (6325453*s[58])/9504 - (12911237*s[59])/19008 - 
       (2546045*s[60])/792 + (15580775*s[61])/114048 - s[65]/24 - s[66]/6 + 
       (5*s[67])/12 - (7*s[68])/9 + (29*s[69])/18 - s[71]/48 + (7*s[72])/24 - 
       (41*s[73])/24 + (7*s[74])/32 - (7*s[75])/32 + (29*s[76])/24 - 
       (235*s[77])/144 - (29*s[78])/24 - (7*s[79])/12 - (191*s[80])/144 + 
       (241*s[82])/12 + s[83]/8 - s[84] + (16*s[85])/3) + 
     HPL[{1}, 1 - v]*Phi6[u, v, w]^2*(s[2]/2 - 2*s[3] + (15*s[4])/4 + 
       (325*s[5])/88 + (97*s[6])/88 + (42079*s[7])/528 - (161*s[8])/44 - 
       (555*s[9])/8 - (265*s[10])/8 - (14919*s[11])/176 - (923*s[12])/11 - 
       (24947*s[13])/528 - (1539*s[14])/176 - (6287*s[15])/48 - 
       (38119*s[16])/264 - (68029*s[17])/528 - (161*s[18])/36 - 
       (1135*s[19])/36 - (32819*s[20])/198 - (86453*s[21])/1584 + 
       (7507*s[22])/176 + (2395*s[23])/132 + (10229*s[24])/88 - 
       (1490627*s[25])/14256 + (751655*s[26])/14256 + (3*s[32])/4 - s[37] + 
       (11*s[38])/2 - (35*s[39])/4 + (27*s[40])/4 - (15*s[41])/2 + 7*s[42] + 
       (513*s[43])/44 - (777*s[44])/88 + (457*s[45])/44 - (982*s[46])/11 - 
       (1031*s[47])/264 + (2335*s[48])/264 - (16399*s[49])/264 + 
       (3743*s[50])/44 + (1321*s[51])/264 + (131*s[52])/264 - 
       (3815*s[53])/66 - (1395*s[54])/44 - (97951*s[55])/264 - 
       (3703*s[56])/88 - (17549*s[57])/132 - (18583*s[58])/264 + 
       (26717*s[59])/264 + (1420591*s[60])/1584 - (93769*s[61])/3564 + 
       s[73] + 6*s[85]) + D30[u, v, w]*((3*s[2])/2 + 5*s[3] - 2*s[4] + 
       4*s[5] + (5*s[6])/2 + (365*s[7])/24 + (37*s[8])/12 - (191*s[9])/12 - 
       (83*s[10])/6 - 10*s[11] + (9*s[12])/8 + (311*s[13])/24 - 
       (69*s[14])/2 - (889*s[15])/24 - (461*s[16])/12 - (1445*s[17])/24 - 
       (1633*s[18])/72 + (467*s[19])/36 - (5875*s[20])/72 - (583*s[21])/12 + 
       (427*s[22])/72 + (971*s[23])/24 - (47*s[24])/18 + (103*s[25])/9 + 
       (1495*s[26])/72 - s[32]/4 - (3*s[37])/2 - (5*s[38])/2 + (23*s[39])/4 - 
       (11*s[40])/4 + s[41]/4 - (69*s[42])/8 - (25*s[43])/4 + (9*s[44])/4 + 
       (13*s[45])/2 - (11*s[46])/4 - (61*s[47])/24 + (5*s[48])/24 + 
       (305*s[49])/12 + (17*s[50])/2 - (55*s[51])/12 - (10*s[52])/3 - 
       (13*s[53])/6 - (113*s[55])/2 - 32*s[56] - (32*s[57])/3 - 
       (1073*s[58])/72 + (647*s[59])/72 - (22*s[60])/9 - 22*s[61] - s[68]/2 + 
       s[69]/2 - s[77]/2 + 6*s[85]) + D30[v, w, u]*(-s[2] + (27*s[3])/8 - 
       (5*s[4])/16 + (1415*s[5])/176 + (433*s[6])/44 + (106811*s[7])/1056 + 
       (3167*s[8])/396 - (13871*s[9])/144 - (8215*s[10])/144 - 
       (101491*s[11])/1056 - (40639*s[12])/528 - (34295*s[13])/1056 - 
       (89377*s[14])/1056 - (16639*s[15])/96 - (50639*s[16])/264 - 
       (73793*s[17])/352 - (14107*s[18])/432 - (6623*s[19])/432 - 
       (1409063*s[20])/4752 - (1246369*s[21])/9504 + (508187*s[22])/9504 - 
       (3343*s[23])/132 + (36649*s[24])/297 - (7033861*s[25])/85536 + 
       (7466761*s[26])/85536 - s[31] - (3*s[33])/8 + s[34] + 2*s[35] + 
       (3*s[36])/4 - (91*s[37])/24 - 2*s[38] + (301*s[39])/16 - 
       (249*s[40])/16 + (141*s[41])/16 - (531*s[42])/16 - (291*s[43])/176 + 
       (3283*s[44])/352 + (8047*s[45])/528 - (2393*s[46])/264 - 
       (7355*s[47])/352 + (11059*s[48])/352 + (9877*s[49])/352 + 
       (421*s[50])/44 - (20819*s[51])/1056 - (3415*s[52])/352 - 
       (305*s[53])/99 - (775*s[54])/132 - (40823*s[55])/352 - 
       (114509*s[56])/3168 - (645343*s[57])/2376 + (1347959*s[58])/28512 - 
       (1583831*s[59])/28512 + (1428037*s[60])/6336 - (1483165*s[61])/64152 - 
       s[68]/2 + s[69]/2 - s[71]/2 + s[74]/4 - s[75]/4 + s[76] - s[77]/2 - 
       s[78] + 2*s[79] + (5*s[80])/12 + 6*s[85]) + 
     HPL[{1}, 1 - u]*Phi6[u, v, w]^2*(s[2]/2 + (27*s[3])/8 + (47*s[4])/16 + 
       (1665*s[5])/88 + (4159*s[6])/176 + (94823*s[7])/352 - 
       (17191*s[8])/4752 - (25793*s[9])/108 - (11791*s[10])/108 - 
       (867727*s[11])/3168 - (203969*s[12])/792 - (438049*s[13])/3168 - 
       (354199*s[14])/3168 - (126929*s[15])/288 - (791477*s[16])/1584 - 
       (1503049*s[17])/3168 - (31277*s[18])/648 - (77399*s[19])/1296 - 
       (9165587*s[20])/14256 - (7237069*s[21])/28512 + 
       (4026749*s[22])/28512 + (139951*s[23])/1584 + (4924273*s[24])/14256 - 
       (39594701*s[25])/128304 + (26995547*s[26])/128304 + (3*s[33])/4 + 
       s[35]/2 - (11*s[36])/6 - (53*s[37])/12 + (11*s[38])/2 + (11*s[39])/8 - 
       (49*s[40])/24 - (11*s[41])/8 - (275*s[42])/24 + (5617*s[43])/264 - 
       (1351*s[44])/264 + (11765*s[45])/264 - (8527*s[46])/44 - 
       (17131*s[47])/792 + (15013*s[48])/396 - (60257*s[49])/792 + 
       (21347*s[50])/132 - (904*s[51])/99 - (1015*s[52])/396 - 
       (5435*s[53])/44 - (801*s[54])/22 - (231025*s[55])/264 - 
       (142081*s[56])/792 - (874523*s[57])/2376 - (152146*s[58])/891 + 
       (1550177*s[59])/7128 + (2242091*s[60])/1188 - 
       (13363435*s[61])/128304 - s[71]/2 + s[74]/4 - s[75]/4 - 6*s[79] + 
       (37*s[80])/6 + 6*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*
      HPL[{0, 1}, 1 - u]*(-s[1]/72 + (3*s[2])/4 + 5*s[3] + (187*s[4])/48 + 
       (211*s[5])/24 + (171*s[6])/8 + (1369*s[7])/8 - (931*s[8])/216 - 
       (30721*s[9])/216 - (30277*s[10])/432 - (6583*s[11])/36 - 
       (12955*s[12])/72 - (31649*s[13])/288 - (5297*s[14])/72 - 
       (12449*s[15])/48 - (91625*s[16])/288 - (21455*s[17])/72 - 
       (6127*s[18])/324 - (16871*s[19])/324 - (1004399*s[20])/2592 - 
       (353783*s[21])/2592 + (56719*s[22])/648 + (505*s[23])/72 + 
       (38767*s[24])/162 - (2549725*s[25])/11664 + (2966009*s[26])/23328 - 
       s[32]/4 - s[37]/6 + (65*s[38])/24 - (43*s[39])/48 + (187*s[40])/48 - 
       (157*s[41])/48 - (91*s[42])/16 + (261*s[43])/16 - (237*s[44])/16 + 
       (601*s[45])/16 - (2239*s[46])/12 - (301*s[47])/18 + (3245*s[48])/72 - 
       (6065*s[49])/72 + (1275*s[50])/8 - (23*s[51])/16 - (229*s[52])/36 - 
       (7807*s[53])/72 - (665*s[54])/24 - (112451*s[55])/144 - 
       (8309*s[56])/48 - (22975*s[57])/72 - (70681*s[58])/432 + 
       (4852*s[59])/27 + (805349*s[60])/432 - (248165*s[61])/2592 - s[68]/2 + 
       s[69]/2 - s[77]/2 + 34*s[82] + 6*s[85]) + HPL[{1}, 1 - u]^4*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*((-3*s[2])/4 + 5*s[3] - 
       (115*s[4])/24 - (895*s[5])/264 - (8607*s[6])/704 - 
       (172673*s[7])/2112 + (303601*s[8])/19008 + (121763*s[9])/1728 - 
       (5113*s[10])/864 + (1126327*s[11])/12672 + (1403069*s[12])/12672 + 
       (218323*s[13])/3168 - (52133*s[14])/3168 + (21893*s[15])/192 + 
       (360367*s[16])/3168 + (687523*s[17])/12672 + (131317*s[18])/5184 - 
       (122683*s[19])/5184 + (1905791*s[20])/14256 + (132067*s[21])/1782 - 
       (2449873*s[22])/57024 - (3188231*s[23])/12672 - 
       (4755551*s[24])/114048 + (119571163*s[25])/1026432 - 
       (86702587*s[26])/1026432 - s[31] - s[32]/4 - (3*s[33])/4 + s[34] + 
       (11*s[35])/8 + (31*s[36])/24 - (35*s[37])/18 - (7*s[38])/2 + 
       (1307*s[39])/48 - (1171*s[40])/48 + (223*s[41])/12 - (1529*s[42])/32 - 
       (2905*s[43])/132 + (221*s[44])/22 - (577*s[45])/528 + 
       (3313*s[46])/33 - (68747*s[47])/3168 + (75859*s[48])/3168 + 
       (103027*s[49])/1584 - (14375*s[50])/352 - (8357*s[51])/792 - 
       (35525*s[52])/1584 + (21121*s[53])/396 - (22427*s[54])/528 + 
       (939745*s[55])/3168 + (25463*s[56])/198 - (3457907*s[57])/9504 + 
       (216461*s[58])/891 - (7986007*s[59])/28512 - (9642989*s[60])/19008 + 
       (4737839*s[61])/128304 - s[68] + s[69] + s[76] - s[77] - s[78] + 
       2*s[79] - (11*s[80])/6 + (145*s[82])/4 + 6*s[85]) + 
     HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*
      (s[1] + 2*s[2] + 37*s[3] + (1153*s[4])/4 + (21801*s[5])/88 + 
       (11639*s[6])/22 + (934891*s[7])/176 - (36151*s[8])/88 - 
       (35461*s[9])/8 - (6563*s[10])/4 - (62426*s[11])/11 - 
       (1046407*s[12])/176 - (598969*s[13])/176 - (156983*s[14])/176 - 
       (122863*s[15])/16 - (818445*s[16])/88 - (685423*s[17])/88 - 
       (20821*s[18])/24 - (6575*s[19])/6 - (2873129*s[20])/264 - 
       (2032757*s[21])/528 + (1443665*s[22])/528 + (823743*s[23])/176 + 
       (3329987*s[24])/528 - (8488831*s[25])/1188 + (4670077*s[26])/1188 - 
       s[32]/4 - 8*s[37] + (233*s[38])/2 - 497*s[39] + 527*s[40] - 
       (1851*s[41])/4 + (2969*s[42])/4 + (1025*s[43])/2 - (3831*s[44])/8 + 
       (1093*s[45])/2 - 4393*s[46] + (535*s[47])/4 + (421*s[48])/4 - 
       (4529*s[49])/2 + (7083*s[50])/2 + 531*s[51] + (2581*s[52])/8 - 
       (30737*s[53])/12 + (23*s[54])/2 - 16018*s[55] - (10900*s[56])/3 + 
       (61013*s[57])/72 - (627383*s[58])/108 + (170312*s[59])/27 + 
       (442265*s[60])/12 - (3621223*s[61])/1944 - (5*s[68])/2 + (5*s[69])/2 + 
       4*s[73] - (5*s[77])/2 + 90*s[82] + 6*s[85]) + 
     HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*(3*s[1] - (69*s[2])/2 + 
       (243*s[3])/8 + (3967*s[4])/16 + (49983*s[5])/176 + (38821*s[6])/88 + 
       (1725747*s[7])/352 - (937493*s[8])/2376 - (1769183*s[9])/432 - 
       (689653*s[10])/432 - (16220887*s[11])/3168 - (4145279*s[12])/792 - 
       (9108853*s[13])/3168 - (3380131*s[14])/3168 - (2169323*s[15])/288 - 
       (13928627*s[16])/1584 - (24492295*s[17])/3168 - (1000423*s[18])/1296 - 
       (1440407*s[19])/1296 - (148157567*s[20])/14256 - 
       (108440887*s[21])/28512 + (71435357*s[22])/28512 + (397072*s[23])/99 + 
       (42892799*s[24])/7128 - (1626406201*s[25])/256608 + 
       (947648593*s[26])/256608 - (5*s[27])/2 - 26*s[31] - (285*s[33])/8 + 
       39*s[34] - 12*s[35] - (205*s[36])/12 + (45*s[37])/8 + 107*s[38] - 
       (6961*s[39])/16 + (22711*s[40])/48 - (6693*s[41])/16 + 
       (31079*s[42])/48 + (251453*s[43])/528 - (464215*s[44])/1056 + 
       (114387*s[45])/176 - (1192537*s[46])/264 + (252821*s[47])/3168 + 
       (238895*s[48])/3168 - (6840143*s[49])/3168 + (490943*s[50])/132 + 
       (1424983*s[51])/3168 + (861829*s[52])/3168 - (2238821*s[53])/792 - 
       (1349*s[54])/33 - (18884057*s[55])/1056 - (12458249*s[56])/3168 - 
       (946811*s[57])/1188 - (161381041*s[58])/28512 + 
       (184551649*s[59])/28512 + (740954999*s[60])/19008 - 
       (66200375*s[61])/32076 - (5*s[68])/2 + (5*s[69])/2 - (3*s[71])/2 - 
       (3*s[74])/4 + (3*s[75])/4 + 26*s[76] - (5*s[77])/2 + s[78] - 2*s[79] - 
       (31*s[80])/4 + 90*s[82] + 6*s[85]) + HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - v]*((-37*s[2])/4 - 96*s[3] - (913*s[4])/4 - 
       (6885*s[5])/88 - (10451*s[6])/22 - (432851*s[7])/176 + 
       (123905*s[8])/792 + (141823*s[9])/72 + (4465*s[10])/9 + 
       (390215*s[11])/132 + (1814161*s[12])/528 + (1153715*s[13])/528 + 
       (184949*s[14])/528 + (133957*s[15])/48 + (1068103*s[16])/264 + 
       (691675*s[17])/264 + (67279*s[18])/108 + (4520*s[19])/27 + 
       (11660527*s[20])/2376 + (9276881*s[21])/4752 - (5977009*s[22])/4752 - 
       (2021527*s[23])/528 - (12293719*s[24])/4752 + (79971511*s[25])/21384 - 
       (46944229*s[26])/21384 + 8*s[32] - (79*s[37])/2 - (205*s[38])/2 + 
       (503*s[39])/2 - (521*s[40])/2 + (741*s[41])/4 - (611*s[42])/2 - 
       233*s[43] + (1803*s[44])/8 - (209*s[45])/2 + (2749*s[46])/2 - 
       (197*s[47])/2 - (209*s[48])/2 + 844*s[49] - (903*s[50])/2 - 
       (353*s[51])/2 - (2497*s[52])/8 + (2797*s[53])/12 - 440*s[54] + 
       1923*s[55] + (9715*s[56])/6 - (403663*s[57])/72 + (97498*s[58])/27 - 
       (334075*s[59])/108 - (111497*s[60])/12 + (1113401*s[61])/1944 + 
       (7*s[68])/2 + (17*s[69])/2 + 4*s[73] + (7*s[77])/2 + 126*s[82] + 
       6*s[85]) + HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
      (3*s[2] - (81*s[3])/8 - (3565*s[4])/16 + (11251*s[5])/176 - 
       (20181*s[6])/88 - (427205*s[7])/352 + (12623*s[8])/88 + 
       (14529*s[9])/16 + (2521*s[10])/16 + (548329*s[11])/352 + 
       (89873*s[12])/44 + (495215*s[13])/352 - (105615*s[14])/352 + 
       (27997*s[15])/32 + (314499*s[16])/176 + (206825*s[17])/352 + 
       (10991*s[18])/48 + (4855*s[19])/48 + (951103*s[20])/528 + 
       (567983*s[21])/1056 - (227599*s[22])/352 - (114189*s[23])/44 - 
       (305233*s[24])/264 + (20924989*s[25])/9504 - (9384181*s[26])/9504 + 
       3*s[31] + s[33] - 6*s[34] - 6*s[35] - (61*s[36])/12 - (337*s[37])/24 - 
       (109*s[38])/2 + (4491*s[39])/16 - (17117*s[40])/48 + (5087*s[41])/16 - 
       (20185*s[42])/48 - (129343*s[43])/528 + (354161*s[44])/1056 - 
       (10415*s[45])/528 + (128483*s[46])/88 - (198307*s[47])/3168 - 
       (526657*s[48])/3168 + (3247681*s[49])/3168 - (121921*s[50])/132 - 
       (1048241*s[51])/3168 - (953099*s[52])/3168 + (91321*s[53])/264 - 
       (4211*s[54])/11 + (2369167*s[55])/1056 + (4467863*s[56])/3168 - 
       (13244585*s[57])/2376 + (99766567*s[58])/28512 - 
       (83465839*s[59])/28512 - (214032769*s[60])/19008 + 
       (17496959*s[61])/32076 + (3*s[62])/2 + (15*s[68])/2 - (3*s[69])/2 - 
       (3*s[71])/2 - (3*s[74])/4 + (3*s[75])/4 - 3*s[76] + (15*s[77])/2 + 
       3*s[78] - 82*s[79] + (539*s[80])/12 + 126*s[82] + 6*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      ((-181*s[2])/96 + (1175*s[3])/192 - (26399*s[4])/384 - 
       (63253*s[5])/1056 - (537137*s[6])/4224 - (90840829*s[7])/76032 + 
       (11185391*s[8])/114048 + (5275481*s[9])/5184 + (1487335*s[10])/5184 + 
       (100813613*s[11])/76032 + (3494273*s[12])/2376 + 
       (68184319*s[13])/76032 + (8035625*s[14])/76032 + 
       (10747823*s[15])/6912 + (75503045*s[16])/38016 + 
       (37067029*s[17])/25344 + (3382633*s[18])/15552 + 
       (4997713*s[19])/31104 + (795113971*s[20])/342144 + 
       (580373723*s[21])/684288 - (435211795*s[22])/684288 - 
       (57600265*s[23])/38016 - (440424647*s[24])/342144 + 
       (1312368637*s[25])/769824 - (1418117093*s[26])/1539648 - s[29]/4 + 
       s[30]/48 - (11*s[31])/6 - (9*s[32])/16 - (21*s[33])/16 + 
       (73*s[34])/48 + (133*s[35])/48 + (241*s[36])/36 - (1055*s[37])/144 - 
       (2891*s[38])/48 + (39953*s[39])/192 - (130027*s[40])/576 + 
       (10827*s[41])/64 - (172505*s[42])/576 - (1061501*s[43])/6336 + 
       (2183677*s[44])/12672 - (60767*s[45])/396 + (8363671*s[46])/6336 - 
       (3258191*s[47])/38016 + (860671*s[48])/38016 + 
       (28174625*s[49])/38016 - (3158233*s[50])/3168 - 
       (7948993*s[51])/38016 - (6702523*s[52])/38016 + 
       (13049675*s[53])/19008 - (142711*s[54])/3168 + 
       (53648137*s[55])/12672 + (4733095*s[56])/4224 - 
       (34993003*s[57])/19008 + (254560457*s[58])/114048 - 
       (258355115*s[59])/114048 - (2407123115*s[60])/228096 + 
       (182553559*s[61])/342144 + s[67]/4 - (17*s[68])/12 + (23*s[69])/12 + 
       s[70]/12 + s[71]/4 - (5*s[72])/8 - (5*s[73])/8 + (79*s[74])/96 - 
       (79*s[75])/96 + (67*s[76])/24 - (79*s[77])/48 - (49*s[78])/24 - 
       (25*s[79])/2 - (143*s[80])/72 + (197*s[82])/4 - (33*s[84])/4 + 
       6*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - v]*
      ((5*s[2])/6 + (50*s[3])/9 + (59*s[4])/18 + (1561*s[5])/792 + 
       (2407*s[6])/1056 + (717965*s[7])/9504 + (5627*s[8])/9504 - 
       (54347*s[9])/864 - (8305*s[10])/216 - (507527*s[11])/6336 - 
       (556123*s[12])/6336 - (129065*s[13])/4752 - (42971*s[14])/1056 - 
       (78461*s[15])/864 - (326791*s[16])/2376 - (1872721*s[17])/19008 - 
       (108425*s[18])/2592 + (10169*s[19])/2592 - (6208351*s[20])/28512 - 
       (43499*s[21])/528 + (279223*s[22])/7128 + (577321*s[23])/19008 + 
       (4592963*s[24])/57024 - (13096573*s[25])/171072 + 
       (10165939*s[26])/171072 - (5*s[32])/18 - 2*s[37] - (245*s[38])/72 + 
       (1289*s[39])/144 - (809*s[40])/144 - (139*s[41])/48 - (155*s[42])/18 - 
       (5579*s[43])/1584 - (6851*s[44])/3168 + (20617*s[45])/1584 - 
       (1921*s[46])/33 - (44059*s[47])/9504 + (171629*s[48])/9504 + 
       (58873*s[49])/9504 + (5127*s[50])/88 + (87643*s[51])/9504 + 
       (24733*s[52])/9504 - (117071*s[53])/4752 + (2929*s[54])/396 - 
       (1850297*s[55])/9504 - (227137*s[56])/3168 - (511403*s[57])/4752 - 
       (1452875*s[58])/28512 + (252821*s[59])/28512 + 
       (32784761*s[60])/57024 - (240851*s[61])/4752 - (5*s[68])/9 + 
       (5*s[69])/9 - (5*s[77])/9 + (323*s[82])/12 + (20*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^4*
      ((-7*s[2])/24 + (19*s[3])/4 + (37*s[4])/8 + (4171*s[5])/528 + 
       (3367*s[6])/176 + (1000405*s[7])/6336 - (5395*s[8])/1188 - 
       (113479*s[9])/864 - (59447*s[10])/864 - (127807*s[11])/792 - 
       (996799*s[12])/6336 - (60785*s[13])/792 - (548579*s[14])/6336 - 
       (140251*s[15])/576 - (117253*s[16])/396 - (192887*s[17])/704 - 
       (228421*s[18])/5184 - (112385*s[19])/5184 - (22736051*s[20])/57024 - 
       (9152393*s[21])/57024 + (4552099*s[22])/57024 + (276455*s[23])/6336 + 
       (11032645*s[24])/57024 - (43745125*s[25])/256608 + 
       (32802817*s[26])/256608 - (2*s[31])/3 - s[32]/8 - s[33]/2 + 
       (4*s[34])/3 + (4*s[35])/3 + (7*s[36])/9 - (419*s[37])/144 - 
       (157*s[38])/48 + (119*s[39])/16 - (535*s[40])/144 - (7*s[41])/2 - 
       (1409*s[42])/144 + (16195*s[43])/1584 - (61705*s[44])/6336 + 
       (46289*s[45])/1584 - (84301*s[46])/528 - (320473*s[47])/19008 + 
       (780341*s[48])/19008 - (455011*s[49])/9504 + (213637*s[50])/1584 - 
       (36529*s[51])/9504 - (168227*s[52])/19008 - (144761*s[53])/1584 - 
       (4525*s[54])/352 - (1412111*s[55])/2112 - (1694735*s[56])/9504 - 
       (4188065*s[57])/14256 - (11718031*s[58])/85536 + 
       (11680105*s[59])/85536 + (44048363*s[60])/28512 - 
       (72856393*s[61])/769824 - (7*s[68])/12 + (7*s[69])/12 + s[74]/6 - 
       s[75]/6 + (2*s[76])/3 - (7*s[77])/12 - (2*s[78])/3 + (4*s[79])/3 - 
       (14*s[80])/9 + (157*s[82])/4 + 7*s[85]) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*((-7*s[2])/3 + (51*s[3])/16 + 
       (33*s[4])/32 + (2407*s[5])/704 - (16135*s[6])/2112 + (4415*s[7])/396 + 
       (315331*s[8])/19008 - (26659*s[9])/1728 - (76625*s[10])/1728 + 
       (80569*s[11])/3168 + (271787*s[12])/3168 + (198305*s[13])/3168 - 
       (130789*s[14])/1584 - (75557*s[15])/576 - (91145*s[16])/1584 - 
       (414371*s[17])/2112 + (70963*s[18])/5184 - (99119*s[19])/2592 - 
       (3118409*s[20])/28512 - (3043243*s[21])/57024 + (28205*s[22])/14256 - 
       (1467119*s[23])/6336 + (3056795*s[24])/57024 + 
       (66126595*s[25])/1026432 + (1686137*s[26])/1026432 - (11*s[31])/6 - 
       s[32]/2 + (19*s[33])/32 + (19*s[34])/24 + (37*s[35])/24 + 
       (223*s[36])/72 - (1261*s[37])/288 - (115*s[38])/16 + (5857*s[39])/96 - 
       (17635*s[40])/288 + (1871*s[41])/48 - (6929*s[42])/72 - 
       (44489*s[43])/3168 + (245503*s[44])/6336 + (307135*s[45])/6336 - 
       (17299*s[46])/704 - (1078967*s[47])/19008 + (1399267*s[48])/19008 + 
       (2021885*s[49])/19008 + (43189*s[50])/792 - (1082935*s[51])/19008 - 
       (893545*s[52])/19008 - (398435*s[53])/6336 - (9101*s[54])/352 - 
       (4089241*s[55])/6336 - (2978543*s[56])/19008 - 
       (33502715*s[57])/28512 + (10412795*s[58])/42768 - 
       (31089581*s[59])/171072 + (46391051*s[60])/57024 - 
       (231073379*s[61])/3079296 - s[62]/16 - (11*s[68])/12 + (11*s[69])/12 + 
       s[70] - (25*s[71])/16 - 2*s[73] + (11*s[74])/24 - (11*s[75])/24 + 
       (11*s[76])/6 - (11*s[77])/12 - (17*s[78])/6 + (2*s[79])/3 + 
       (683*s[80])/144 - (33*s[82])/2 + 3*s[84] + 7*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*
      ((5*s[2])/2 + (161*s[3])/48 - (365*s[4])/32 - (5921*s[5])/264 - 
       (2295*s[6])/88 - (743269*s[7])/2112 + (20239*s[8])/792 + 
       (87911*s[9])/288 + (1885*s[10])/18 + (423811*s[11])/1056 + 
       (947387*s[12])/2112 + (575215*s[13])/2112 + (43525*s[14])/2112 + 
       (89999*s[15])/192 + (160091*s[16])/264 + (116407*s[17])/264 + 
       (36175*s[18])/864 + (41647*s[19])/432 + (3248071*s[20])/4752 + 
       (4434955*s[21])/19008 - (3642641*s[22])/19008 - (199563*s[23])/704 - 
       (8621093*s[24])/19008 + (88757395*s[25])/171072 - 
       (43873495*s[26])/171072 + s[31]/2 - (7*s[32])/12 + (17*s[33])/16 - 
       (3*s[34])/2 - s[35]/4 - (23*s[36])/12 - (23*s[37])/8 - 
       (445*s[38])/24 + (2027*s[39])/48 - (625*s[40])/16 + (137*s[41])/6 - 
       (1159*s[42])/24 - (6889*s[43])/176 + (18611*s[44])/528 - 
       (1297*s[45])/66 + (121039*s[46])/528 + (1783*s[47])/792 - 
       (56527*s[48])/1584 + (89269*s[49])/396 - (52501*s[50])/264 - 
       (3975*s[51])/176 - (1271*s[52])/99 + (99131*s[53])/792 + 
       (3365*s[54])/44 + (996467*s[55])/1584 + (63445*s[56])/1584 - 
       (994801*s[57])/4752 + (1131047*s[58])/3564 - (1197287*s[59])/3564 - 
       (21275935*s[60])/9504 + (1710935*s[61])/32076 - s[67]/2 - 
       (5*s[68])/12 - s[69]/12 - s[71]/2 + s[72]/2 - s[73]/2 - (3*s[74])/8 + 
       (3*s[75])/8 - s[76]/2 - (2*s[77])/3 + s[78]/2 + (23*s[80])/4 - 
       (33*s[82])/2 + 3*s[84] + 7*s[85]) + HPL[{1}, 1 - u]^3*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*((81*s[2])/16 + (93*s[3])/32 + 
       (2547*s[4])/64 + (26209*s[5])/528 + (87189*s[6])/704 + 
       (30833419*s[7])/38016 - (2919239*s[8])/57024 - (56650*s[9])/81 - 
       (258065*s[10])/1296 - (33472829*s[11])/38016 - (8914507*s[12])/9504 - 
       (21324619*s[13])/38016 - (7023689*s[14])/38016 - 
       (3449969*s[15])/3456 - (12607513*s[16])/9504 - (1455501*s[17])/1408 - 
       (1745311*s[18])/7776 - (382381*s[19])/15552 - (284217787*s[20])/
        171072 - (222589799*s[21])/342144 + (146245999*s[22])/342144 + 
       (9430313*s[23])/9504 + (66345343*s[24])/85536 - 
       (413383579*s[25])/384912 + (488622875*s[26])/769824 + (17*s[29])/6 - 
       (3*s[30])/8 + (11*s[31])/3 + (17*s[32])/24 + (139*s[33])/48 - 
       (73*s[34])/24 - (19*s[35])/24 + (53*s[36])/12 + (265*s[37])/72 + 
       (283*s[38])/24 - (8581*s[39])/96 + (10037*s[40])/96 - 
       (8437*s[41])/96 + (12583*s[42])/96 + (58115*s[43])/1056 - 
       (41575*s[44])/528 + (35279*s[45])/264 - (324663*s[46])/352 + 
       (82963*s[47])/1584 - (106027*s[48])/3168 - (25855*s[49])/99 + 
       (364487*s[50])/528 + (361127*s[51])/3168 + (297751*s[52])/3168 - 
       (45956*s[53])/99 + (15085*s[54])/132 - (9663259*s[55])/3168 - 
       (254587*s[56])/264 + (3149731*s[57])/3168 - (804527*s[58])/528 + 
       (4278467*s[59])/3168 + (67484929*s[60])/9504 - 
       (81695015*s[61])/171072 + (5*s[65])/12 + (5*s[66])/3 - (11*s[67])/3 - 
       (7*s[68])/6 - (37*s[69])/6 - (2*s[70])/3 + s[71]/3 - (5*s[72])/12 + 
       (55*s[73])/12 + s[74]/16 - s[75]/16 - (49*s[76])/12 + (53*s[77])/24 - 
       (17*s[78])/12 + (52*s[79])/3 - (85*s[80])/12 + (125*s[82])/2 - 
       (5*s[83])/4 + 13*s[84] + 7*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      Omega2[u, v, w]*(s[2] + (20*s[3])/3 - s[4]/12 + (833*s[5])/66 + 
       (1449*s[6])/44 + (140873*s[7])/792 + (10829*s[8])/1188 - 
       (3980*s[9])/27 - (2158*s[10])/27 - (156169*s[11])/792 - 
       (18541*s[12])/99 - (107405*s[13])/792 - (111829*s[14])/792 - 
       (19067*s[15])/72 - (66515*s[16])/198 - (29323*s[17])/88 - 
       (643*s[18])/81 - (21731*s[19])/324 - (390911*s[20])/891 - 
       (1137157*s[21])/7128 + (648359*s[22])/7128 - (72121*s[23])/396 + 
       (1055521*s[24])/3564 - (7104935*s[25])/32076 + (1119605*s[26])/8019 - 
       s[32]/3 + (2*s[37])/3 + 7*s[38] + (121*s[39])/12 - (73*s[40])/12 + 
       (35*s[41])/12 - (403*s[42])/12 + (3397*s[43])/132 - (5795*s[44])/264 + 
       (5833*s[45])/132 - (12301*s[46])/66 - (9817*s[47])/264 + 
       (25229*s[48])/264 - (10335*s[49])/88 + (1646*s[50])/11 - 
       (13073*s[51])/792 - (4721*s[52])/264 - (2935*s[53])/33 - 
       (1075*s[54])/33 - (622807*s[55])/792 - (49003*s[56])/264 - 
       (41177*s[57])/66 - (70633*s[58])/792 + (82345*s[59])/792 + 
       (3509597*s[60])/1584 - (99623*s[61])/1188 - (2*s[68])/3 + 
       (2*s[69])/3 - (2*s[77])/3 + 48*s[82] + 8*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Omega2[u, v, w]*
      ((-4*s[2])/3 + (9*s[3])/2 - (95*s[4])/12 + (545*s[5])/66 + 
       (1745*s[6])/132 + (25913*s[7])/792 + (4634*s[8])/297 - 
       (3143*s[9])/108 - (5137*s[10])/108 - (5521*s[11])/198 + 
       (1049*s[12])/396 - (184*s[13])/99 - (24655*s[14])/198 - 
       (5759*s[15])/72 - (79205*s[16])/792 - (3659*s[17])/22 - 
       (73*s[18])/81 - (2396*s[19])/81 - (599567*s[20])/3564 - 
       (132193*s[21])/1782 + (56323*s[22])/3564 - (217637*s[23])/792 + 
       (749993*s[24])/7128 + (44650*s[25])/8019 + (885839*s[26])/32076 - 
       (4*s[31])/3 - s[33] + (8*s[34])/3 + (8*s[35])/3 + (14*s[36])/9 - 
       (14*s[37])/9 - (7*s[38])/3 + (179*s[39])/6 - (457*s[40])/18 + 
       (55*s[41])/3 - (983*s[42])/18 - (365*s[43])/198 + (1577*s[44])/792 + 
       (1954*s[45])/99 - (1091*s[46])/66 - (85423*s[47])/2376 + 
       (166961*s[48])/2376 + (7405*s[49])/2376 + (3221*s[50])/99 - 
       (61247*s[51])/2376 - (77837*s[52])/2376 - (3845*s[53])/396 - 
       (2537*s[54])/66 - (170429*s[55])/792 - (117985*s[56])/2376 - 
       (536440*s[57])/891 + (2818087*s[58])/21384 - (2944267*s[59])/21384 + 
       (9429317*s[60])/14256 - (578260*s[61])/24057 - (2*s[68])/3 + 
       (2*s[69])/3 + s[74]/3 - s[75]/3 + (4*s[76])/3 - (2*s[77])/3 - 
       (4*s[78])/3 + (8*s[79])/3 - (28*s[80])/9 + 52*s[82] + 8*s[85]) + 
     HPL[{0, 1}, 1 - u]*M1[w, v, u]*((19*s[2])/12 - (37*s[3])/8 - 
       (6787*s[4])/48 - (1141*s[5])/132 - (50725*s[6])/528 - 
       (11965501*s[7])/9504 + (2613427*s[8])/14256 + (80573*s[9])/81 + 
       (157631*s[10])/648 + (14005531*s[11])/9504 + (528295*s[12])/297 + 
       (3488443*s[13])/3168 - (2757605*s[14])/9504 + (47929*s[15])/32 + 
       (1643825*s[16])/792 + (12066365*s[17])/9504 + (32794*s[18])/243 + 
       (1121975*s[19])/3888 + (88443671*s[20])/42768 + 
       (48553741*s[21])/85536 - (56340233*s[22])/85536 - (428633*s[23])/198 - 
       (29218127*s[24])/21384 + (808400429*s[25])/384912 - 
       (347445269*s[26])/384912 + 3*s[29] - s[30] + (4*s[31])/3 + 
       (5*s[32])/6 + (59*s[33])/24 + s[34]/3 + (23*s[35])/6 + (91*s[36])/9 - 
       9*s[37] - (230*s[38])/3 + (7357*s[39])/24 - (23687*s[40])/72 + 
       (1987*s[41])/8 - (31813*s[42])/72 - (195721*s[43])/792 + 
       (222331*s[44])/792 - (15095*s[45])/66 + (1597723*s[46])/792 - 
       (69107*s[47])/594 + (3511*s[48])/2376 + (732197*s[49])/594 - 
       (157745*s[50])/99 - (679099*s[51])/2376 - (251189*s[52])/1188 + 
       (646211*s[53])/594 + (50957*s[54])/396 + (5265971*s[55])/792 + 
       (467446*s[56])/297 - (15779483*s[57])/7128 + (33961091*s[58])/10692 - 
       (70906375*s[59])/21384 - (59099675*s[60])/3564 + 
       (306078095*s[61])/384912 + (2*s[65])/3 + (8*s[66])/3 - (13*s[67])/3 - 
       (4*s[68])/3 - (22*s[69])/3 - (7*s[70])/3 - (2*s[71])/3 - 
       (11*s[72])/3 + (19*s[73])/3 + (31*s[74])/12 - (31*s[75])/12 + 
       (23*s[77])/6 - (19*s[78])/3 - 8*s[79] + (7*s[80])/3 + 6*s[82] - 
       2*s[83] + 8*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u]*((-20*s[2])/3 - (559*s[3])/12 - 
       (413*s[4])/24 - (515*s[5])/6 - (4459*s[6])/24 - (555533*s[7])/432 + 
       (15841*s[8])/648 + (173815*s[9])/162 + (77105*s[10])/162 + 
       (593305*s[11])/432 + (293845*s[12])/216 + (358241*s[13])/432 + 
       (203995*s[14])/432 + (807689*s[15])/432 + (123709*s[16])/54 + 
       (303517*s[17])/144 + (112271*s[18])/486 + (601969*s[19])/1944 + 
       (5438969*s[20])/1944 + (4125889*s[21])/3888 - (2501681*s[22])/3888 - 
       (99797*s[23])/216 - (3268561*s[24])/1944 + (14337553*s[25])/8748 - 
       (8661217*s[26])/8748 - 2*s[29] + 2*s[30] - (8*s[31])/3 - (5*s[32])/2 + 
       (31*s[33])/12 + (4*s[34])/3 + s[35]/3 - (82*s[36])/9 - (65*s[37])/18 - 
       27*s[38] + (43*s[39])/4 - (383*s[40])/36 - (33*s[41])/4 + 
       (755*s[42])/36 - (17593*s[43])/396 + (2531*s[44])/198 - 
       (5746*s[45])/99 + (78407*s[46])/396 + (46141*s[47])/1188 - 
       (34112*s[48])/297 + (155321*s[49])/1188 - (11497*s[50])/99 + 
       (18043*s[51])/594 - (5803*s[52])/1188 + (18349*s[53])/297 - 
       (7853*s[54])/198 + (58115*s[55])/99 + (77321*s[56])/396 + 
       (145361*s[57])/1188 + (34871*s[58])/132 - (66179*s[59])/297 - 
       (14532443*s[60])/7128 + (7130597*s[61])/64152 - (2*s[65])/3 - 
       (8*s[66])/3 + (10*s[67])/3 + s[68]/3 + (19*s[69])/3 - (2*s[70])/3 + 
       (2*s[71])/3 + (10*s[72])/3 - 8*s[73] - (5*s[74])/2 + (5*s[75])/2 + 
       (4*s[76])/3 - (2*s[77])/3 + (22*s[78])/3 + (32*s[79])/3 - 
       (14*s[80])/9 + 32*s[82] + 2*s[83] + 8*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-22*s[2])/3 - (561*s[3])/4 - (17077*s[4])/24 - (3151*s[5])/12 - 
       (22361*s[6])/24 - (3708389*s[7])/432 + (544055*s[8])/648 + 
       (2258323*s[9])/324 + (686639*s[10])/324 + (4180565*s[11])/432 + 
       (2352953*s[12])/216 + (957143*s[13])/144 + (44279*s[14])/432 + 
       (541013*s[15])/48 + (523657*s[16])/36 + (4618759*s[17])/432 + 
       (1293983*s[18])/972 + (3361253*s[19])/1944 + (31246021*s[20])/1944 + 
       (20941913*s[21])/3888 - (17165293*s[22])/3888 - (816119*s[23])/72 - 
       (18875117*s[24])/1944 + (225378619*s[25])/17496 - 
       (113616691*s[26])/17496 + 6*s[29] - 4*s[30] + (8*s[31])/3 - 
       (17*s[32])/6 + (23*s[33])/12 + (2*s[34])/3 + (17*s[35])/3 + 
       (227*s[36])/9 - 43*s[37] - (1135*s[38])/3 + (8045*s[39])/6 - 
       (25807*s[40])/18 + (2145*s[41])/2 - (33461*s[42])/18 - 
       (229643*s[43])/198 + (961865*s[44])/792 - (148559*s[45])/132 + 
       (3681493*s[46])/396 - (1040881*s[47])/2376 - (341413*s[48])/2376 + 
       (12732991*s[49])/2376 - (699079*s[50])/99 - (2915981*s[51])/2376 - 
       (2369849*s[52])/2376 + (1444529*s[53])/297 + (3419*s[54])/198 + 
       (24112111*s[55])/792 + (18133993*s[56])/2376 - (34561349*s[57])/3564 + 
       (315107777*s[58])/21384 - (324250715*s[59])/21384 - 
       (1088959567*s[60])/14256 + (721280279*s[61])/192456 + (4*s[65])/3 + 
       (16*s[66])/3 - (26*s[67])/3 + (7*s[68])/3 - (29*s[69])/3 - 
       (2*s[70])/3 - (4*s[71])/3 - (22*s[72])/3 + (8*s[73])/3 + 
       (37*s[74])/6 - (37*s[75])/6 + 4*s[76] + (32*s[77])/3 - (50*s[78])/3 - 
       40*s[79] + (29*s[80])/3 - 4*s[82] - 4*s[83] - 12*s[84] + 8*s[85]) + 
     HPL[{0, 1}, 1 - v]*M1[w, v, u]*((-25*s[2])/12 + (409*s[3])/24 + 
       (4849*s[4])/48 - (19*s[5])/12 + (3713*s[6])/48 + (705949*s[7])/864 - 
       (142391*s[8])/1296 - (104011*s[9])/162 - (113165*s[10])/648 - 
       (799115*s[11])/864 - (233887*s[12])/216 - (560773*s[13])/864 + 
       (97729*s[14])/864 - (916633*s[15])/864 - (37289*s[16])/27 - 
       (271343*s[17])/288 - (52529*s[18])/486 - (673397*s[19])/3888 - 
       (5580799*s[20])/3888 - (3163313*s[21])/7776 + (3255805*s[22])/7776 + 
       (147229*s[23])/108 + (1686811*s[24])/1944 - (45547369*s[25])/34992 + 
       (20679973*s[26])/34992 - s[29] + 2*s[30] - (4*s[31])/3 - (5*s[32])/6 + 
       (49*s[33])/24 + (2*s[34])/3 + (7*s[35])/6 - (62*s[36])/9 - 
       (7*s[37])/18 + (77*s[38])/3 - (3109*s[39])/24 + (10279*s[40])/72 - 
       (2657*s[41])/24 + (14183*s[42])/72 + (62753*s[43])/792 - 
       (88703*s[44])/792 + (30235*s[45])/396 - (610825*s[46])/792 + 
       (83885*s[47])/1188 - (118769*s[48])/2376 - (121937*s[49])/297 + 
       (119789*s[50])/198 + (344567*s[51])/2376 + (126427*s[52])/1188 - 
       (473065*s[53])/1188 + (1117*s[54])/396 - (1913897*s[55])/792 - 
       (125881*s[56])/198 + (3209237*s[57])/2376 - (136076*s[58])/99 + 
       (3219199*s[59])/2376 + (42903569*s[60])/7128 - 
       (39665455*s[61])/128304 - s[65]/3 - (4*s[66])/3 + (5*s[67])/3 + 
       (2*s[68])/3 + (8*s[69])/3 - (7*s[70])/3 + s[71]/3 + (5*s[72])/3 - 
       3*s[73] - (7*s[74])/4 + (7*s[75])/4 - (4*s[76])/3 + (7*s[77])/6 + 
       (17*s[78])/3 + (52*s[79])/3 - (40*s[80])/9 + 36*s[82] + s[83] + 
       6*s[84] + 8*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w]*((49*s[2])/6 + (389*s[3])/12 + 
       (7799*s[4])/24 + (16339*s[5])/132 + (103775*s[6])/264 + 
       (19368013*s[7])/4752 - (2905373*s[8])/7128 - (1082885*s[9])/324 - 
       (175835*s[10])/162 - (21419159*s[11])/4752 - (5920339*s[12])/1188 - 
       (13979137*s[13])/4752 - (761771*s[14])/4752 - (2387351*s[15])/432 - 
       (8399377*s[16])/1188 - (8704831*s[17])/1584 - (608311*s[18])/972 - 
       (1621831*s[19])/1944 - (167519959*s[20])/21384 - 
       (110598041*s[21])/42768 + (90651925*s[22])/42768 + 
       (3001861*s[23])/594 + (23866013*s[24])/5346 - (569357675*s[25])/
        96228 + (286978679*s[26])/96228 - 6*s[29] + 8*s[30] + (2*s[31])/3 - 
       (22*s[32])/3 + (35*s[33])/12 - (22*s[34])/3 + (8*s[35])/3 - 
       (607*s[36])/18 + (227*s[37])/18 + (335*s[38])/3 - (13783*s[39])/24 + 
       (42793*s[40])/72 - (10823*s[41])/24 + (63245*s[42])/72 + 
       (231443*s[43])/792 - (698899*s[44])/1584 + (47369*s[45])/198 - 
       (2271337*s[46])/792 + (1793831*s[47])/4752 - (1599955*s[48])/4752 - 
       (7888349*s[49])/4752 + (439589*s[50])/198 + (2827189*s[51])/4752 + 
       (2220997*s[52])/4752 - (3539099*s[53])/2376 - (13111*s[54])/198 - 
       (13294447*s[55])/1584 - (382661*s[56])/176 + (7498553*s[57])/1188 - 
       (76087211*s[58])/14256 + (75443213*s[59])/14256 + 
       (594127955*s[60])/28512 - (46825375*s[61])/42768 - (10*s[65])/3 - 
       (25*s[66])/3 + (44*s[67])/3 - (4*s[68])/3 + (80*s[69])/3 - 
       (13*s[70])/3 + (10*s[71])/3 + (38*s[72])/3 - 14*s[73] - (21*s[74])/2 + 
       (21*s[75])/2 - (13*s[76])/3 - (4*s[77])/3 + (83*s[78])/3 + 
       (64*s[79])/3 - (112*s[80])/9 + 12*s[82] + 4*s[83] + 12*s[84] + 
       8*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((-7*s[2])/4 - (501*s[3])/8 + (3953*s[4])/16 + (11097*s[5])/88 + 
       (50077*s[6])/176 + (10530985*s[7])/3168 - (1302995*s[8])/4752 - 
       (316393*s[9])/108 - (17915*s[10])/27 - (12056675*s[11])/3168 - 
       (438386*s[12])/99 - (8539753*s[13])/3168 - (235703*s[14])/3168 - 
       (1099319*s[15])/288 - (4098673*s[16])/792 - (3430255*s[17])/1056 - 
       (101617*s[18])/162 - (446071*s[19])/1296 - (90668599*s[20])/14256 - 
       (62797205*s[21])/28512 + (52287229*s[22])/28512 + 
       (3579131*s[23])/792 + (12054611*s[24])/3564 - (635948845*s[25])/
        128304 + (328900453*s[26])/128304 + (7*s[28])/2 + (7*s[30])/2 + 
       2*s[31] + 2*s[32] + (33*s[33])/4 - (7*s[34])/2 - s[35]/2 - 
       (25*s[36])/2 + (67*s[37])/4 + (337*s[38])/2 - (2859*s[39])/4 + 
       (3273*s[40])/4 - 654*s[41] + (4187*s[42])/4 + (24557*s[43])/44 - 
       (110945*s[44])/176 + (34855*s[45])/88 - (364499*s[46])/88 + 
       (167099*s[47])/528 - (36577*s[48])/528 - (1342841*s[49])/528 + 
       (33701*s[50])/11 + (412415*s[51])/528 + (346453*s[52])/528 - 
       (247021*s[53])/132 + (4407*s[54])/22 - (6086519*s[55])/528 - 
       (589797*s[56])/176 + (703061*s[57])/88 - (11876857*s[58])/1584 + 
       (11341147*s[59])/1584 + (103331777*s[60])/3168 - 
       (22374107*s[61])/14256 - s[65] + s[67] + 12*s[68] + 8*s[70] + s[71] + 
       s[72] - 13*s[73] - (15*s[74])/4 + (15*s[75])/4 - 10*s[76] - 
       (25*s[77])/2 + s[78] + 94*s[79] - (55*s[80])/2 - 158*s[82] + 
       (9*s[83])/2 + 15*s[84] + 8*s[85]) + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((55*s[2])/4 + (489*s[3])/8 + (4503*s[4])/16 + (1013*s[5])/11 + 
       (66277*s[6])/176 + (8346535*s[7])/3168 - (1372939*s[8])/4752 - 
       (451021*s[9])/216 - (81059*s[10])/216 - (9945469*s[11])/3168 - 
       (3001595*s[12])/792 - (2504129*s[13])/1056 + (691187*s[14])/3168 - 
       (267959*s[15])/96 - (89725*s[16])/22 - (7620191*s[17])/3168 - 
       (381863*s[18])/648 - (315629*s[19])/1296 - (64928813*s[20])/14256 - 
       (45748315*s[21])/28512 + (37860407*s[22])/28512 + (630791*s[23])/132 + 
       (17675033*s[24])/7128 - (135457571*s[25])/32076 + 
       (67961639*s[26])/32076 - (3*s[27])/2 - 11*s[29] - s[30]/2 + 4*s[31] + 
       (7*s[32])/2 + 34*s[33] - (33*s[34])/2 - (33*s[35])/2 + (15*s[36])/2 + 
       (44*s[37])/3 + 147*s[38] - (1109*s[39])/2 + 560*s[40] - 399*s[41] + 
       (3157*s[42])/4 + (5653*s[43])/22 - (58967*s[44])/176 + 
       (5384*s[45])/33 - (69398*s[46])/33 + (242773*s[47])/528 - 
       (227147*s[48])/528 - (675871*s[49])/528 + (27223*s[50])/22 + 
       (102491*s[51])/176 + (294623*s[52])/528 - (589511*s[53])/792 + 
       (62461*s[54])/132 - (2211029*s[55])/528 - (2905559*s[56])/1584 + 
       (19298221*s[57])/2376 - (72548749*s[58])/14256 + 
       (64530181*s[59])/14256 + (42535313*s[60])/3168 - 
       (56478203*s[61])/64152 - 8*s[63] - 2*s[64] - 2*s[65] + 2*s[66] + 
       3*s[67] + 14*s[68] + 8*s[70] + (7*s[71])/2 + 5*s[72] - 23*s[73] - 
       (23*s[74])/4 + (21*s[75])/4 - 8*s[76] - (45*s[77])/2 + 9*s[78] - 
       22*s[79] - (35*s[80])/3 - 158*s[82] + (9*s[83])/2 + 15*s[84] + 
       8*s[85]) + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((11*s[2])/6 - (93*s[3])/16 + (5231*s[4])/32 + (160201*s[5])/1056 + 
       (88003*s[6])/264 + (56429191*s[7])/19008 - (1624507*s[8])/7128 - 
       (6552293*s[9])/2592 - (1952041*s[10])/2592 - (62073355*s[11])/19008 - 
       (33984481*s[12])/9504 - (13739237*s[13])/6336 - 
       (8068939*s[14])/19008 - (2231033*s[15])/576 - (5209537*s[16])/1056 - 
       (71445515*s[17])/19008 - (2183219*s[18])/3888 - (1554397*s[19])/3888 - 
       (252245071*s[20])/42768 - (370657093*s[21])/171072 + 
       (268082915*s[22])/171072 + (1326907*s[23])/396 + 
       (275273671*s[24])/85536 - (6366649537*s[25])/1539648 + 
       (3526013593*s[26])/1539648 + s[29]/2 - s[30]/4 + (4*s[31])/3 + 
       (5*s[32])/24 - (8*s[33])/3 - (17*s[34])/12 - (29*s[35])/12 - 
       (103*s[36])/18 + (1705*s[37])/144 + (971*s[38])/8 - (21115*s[39])/48 + 
       (70445*s[40])/144 - (4579*s[41])/12 + (90103*s[42])/144 + 
       (640423*s[43])/1584 - (2565547*s[44])/6336 + (476539*s[45])/1056 - 
       (11010509*s[46])/3168 + (2712557*s[47])/19008 + 
       (1485881*s[48])/19008 - (33551675*s[49])/19008 + (2090663*s[50])/792 + 
       (8543077*s[51])/19008 + (6920503*s[52])/19008 - 
       (17386969*s[53])/9504 + (51437*s[54])/396 - (8184395*s[55])/704 - 
       (59052209*s[56])/19008 + (87852343*s[57])/28512 - 
       (927059167*s[58])/171072 + (932677399*s[59])/171072 + 
       (3248653007*s[60])/114048 - (1160713031*s[61])/769824 + s[65]/6 + 
       (2*s[66])/3 - (5*s[67])/6 + (2*s[68])/3 - (7*s[69])/3 + (2*s[70])/3 - 
       (13*s[71])/24 - s[72]/6 + (11*s[73])/6 - (31*s[74])/24 + 
       (31*s[75])/24 - (3*s[76])/2 + (31*s[77])/12 - (7*s[78])/3 + 
       (69*s[79])/2 - (161*s[80])/24 + s[82]/2 - s[83]/2 + 21*s[84] + 
       8*s[85]) + HPL[{0, 1}, 1 - w]*M1[v, w, u]*((15*s[2])/4 + s[3]/8 + 
       (5215*s[4])/16 + (39689*s[5])/264 + (249769*s[6])/528 + 
       (41207225*s[7])/9504 - (5818961*s[8])/14256 - (2346845*s[9])/648 - 
       (642037*s[10])/648 - (46188305*s[11])/9504 - (3261277*s[12])/594 - 
       (3561179*s[13])/1056 - (1321889*s[14])/9504 - (1581805*s[15])/288 - 
       (11313967*s[16])/1584 - (48170479*s[17])/9504 - (185564*s[18])/243 - 
       (2385829*s[19])/3888 - (349286449*s[20])/42768 - 
       (243368423*s[21])/85536 + (195585679*s[22])/85536 + 
       (3126863*s[23])/528 + (196392059*s[24])/42768 - 
       (2458618039*s[25])/384912 + (1275642235*s[26])/384912 - s[29]/3 + 
       (3*s[30])/2 + (10*s[31])/3 + (2*s[32])/3 + (19*s[33])/6 - 
       (41*s[34])/6 - (41*s[35])/6 - (335*s[36])/18 + (53*s[37])/4 + 
       (1195*s[38])/6 - (2272*s[39])/3 + (14885*s[40])/18 - (2581*s[41])/4 + 
       (39161*s[42])/36 + (62621*s[43])/99 - (265151*s[44])/396 + 
       (54801*s[45])/88 - (4176451*s[46])/792 + (656585*s[47])/2376 + 
       (50045*s[48])/2376 - (6763973*s[49])/2376 + (1581047*s[50])/396 + 
       (1783465*s[51])/2376 + (732335*s[52])/1188 - (6499103*s[53])/2376 + 
       (53893*s[54])/396 - (2259985*s[55])/132 - (10910315*s[56])/2376 + 
       (44640779*s[57])/7128 - (184196821*s[58])/21384 + 
       (23236808*s[59])/2673 + (75683629*s[60])/1782 - 
       (842141717*s[61])/384912 - s[65]/6 - (2*s[66])/3 + (2*s[67])/3 + 
       (5*s[68])/3 - s[69]/3 - s[70]/3 - (5*s[71])/6 + (11*s[72])/3 - 
       s[73]/3 - (17*s[74])/4 + (17*s[75])/4 - (20*s[76])/3 + s[77]/6 + 
       (23*s[78])/3 + 54*s[79] - (5*s[80])/6 - 54*s[82] + s[83]/2 + 
       29*s[84] + 8*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*((-17*s[2])/2 - (127*s[3])/2 - 82*s[4] - 
       (1849*s[5])/12 - (2887*s[6])/12 - (49804*s[7])/27 + (36263*s[8])/324 + 
       (123863*s[9])/81 + (37093*s[10])/81 + (225985*s[11])/108 + 
       (246707*s[12])/108 + (24853*s[13])/18 + (7069*s[14])/27 + 
       (30247*s[15])/12 + (38177*s[16])/12 + (137167*s[17])/54 + 
       (93688*s[18])/243 + (305669*s[19])/972 + (3632323*s[20])/972 + 
       (1466905*s[21])/972 - (227735*s[22])/243 - (19957*s[23])/9 - 
       (2033369*s[24])/972 + (45911261*s[25])/17496 - 
       (27169391*s[26])/17496 + (8*s[29])/3 - 6*s[30] - (14*s[31])/3 + 
       (19*s[32])/6 - (7*s[33])/3 + (29*s[34])/3 + (32*s[35])/3 + 
       (289*s[36])/18 - (146*s[37])/3 - (503*s[38])/6 + (6397*s[39])/24 - 
       (17683*s[40])/72 + (949*s[41])/8 - (25193*s[42])/72 - 
       (120353*s[43])/792 + (241771*s[44])/1584 - (4085*s[45])/33 + 
       (802763*s[46])/792 - (1168127*s[47])/4752 + (1123591*s[48])/4752 + 
       (3488981*s[49])/4752 - (210685*s[50])/396 - (865573*s[51])/4752 - 
       (1125361*s[52])/4752 + (921703*s[53])/2376 - (45809*s[54])/396 + 
       (1153789*s[55])/528 + (3088223*s[56])/4752 - (12535889*s[57])/3564 + 
       (98455273*s[58])/42768 - (94663303*s[59])/42768 - 
       (203380883*s[60])/28512 + (136340233*s[61])/384912 + 2*s[64] + 
       (11*s[65])/6 + (10*s[66])/3 - (28*s[67])/3 - (40*s[68])/3 - 
       (10*s[69])/3 - (7*s[70])/3 - (23*s[71])/6 - (10*s[72])/3 + 
       (38*s[73])/3 - s[74]/2 + s[75]/2 + (34*s[76])/3 - s[77]/3 - 
       (25*s[78])/3 + 60*s[79] - (41*s[80])/3 - 150*s[82] - s[83] + 
       50*s[84] + 8*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u]*((-53*s[2])/6 - (277*s[3])/12 + 
       (12293*s[4])/24 + (5914*s[5])/33 + (178691*s[6])/264 + 
       (31209235*s[7])/4752 - (4279019*s[8])/7128 - (1780577*s[9])/324 - 
       (134233*s[10])/81 - (34427843*s[11])/4752 - (2384386*s[12])/297 - 
       (23191393*s[13])/4752 - (1525451*s[14])/4752 - (3739205*s[15])/432 - 
       (26204609*s[16])/2376 - (4351585*s[17])/528 - (253876*s[18])/243 - 
       (2100295*s[19])/1944 - (267488851*s[20])/21384 - 
       (182162921*s[21])/42768 + (148197265*s[22])/42768 + 
       (19452199*s[23])/2376 + (152262443*s[24])/21384 - 
       (1824130813*s[25])/192456 + (940489159*s[26])/192456 - 2*s[29] + 
       2*s[30] + (14*s[31])/3 + (2*s[32])/3 + (77*s[33])/12 - (34*s[34])/3 - 
       (19*s[35])/3 - (302*s[36])/9 - (80*s[37])/9 + (695*s[38])/3 - 
       (11855*s[39])/12 + (39593*s[40])/36 - (11089*s[41])/12 + 
       (26999*s[42])/18 + (313471*s[43])/396 - (675239*s[44])/792 + 
       (66763*s[45])/99 - (2580269*s[46])/396 + (983155*s[47])/2376 - 
       (290711*s[48])/2376 - (8577043*s[49])/2376 + (509038*s[50])/99 + 
       (2511035*s[51])/2376 + (1957649*s[52])/2376 - (4117513*s[53])/1188 + 
       (6385*s[54])/99 - (16834427*s[55])/792 - (4394339*s[56])/792 + 
       (3299213*s[57])/396 - (75816905*s[58])/7128 + (77219819*s[59])/7128 + 
       (746990413*s[60])/14256 - (164103457*s[61])/64152 - s[65]/3 - 
       (4*s[66])/3 + (8*s[67])/3 + (23*s[68])/3 + (23*s[69])/3 + 
       (2*s[70])/3 - (5*s[71])/3 + (26*s[72])/3 - 12*s[73] - (17*s[74])/2 + 
       (17*s[75])/2 - (28*s[76])/3 + (8*s[77])/3 + (38*s[78])/3 + 
       (412*s[79])/3 - (148*s[80])/9 - 156*s[82] + s[83] + 66*s[84] + 
       8*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      ((-17*s[2])/4 + (1135*s[3])/24 - (37273*s[4])/48 - (15665*s[5])/66 - 
       (231677*s[6])/264 - (29000981*s[7])/3168 + (14201185*s[8])/14256 + 
       (616931*s[9])/81 + (1282517*s[10])/648 + (97714543*s[11])/9504 + 
       (111614135*s[12])/9504 + (34616987*s[13])/4752 - (919625*s[14])/2376 + 
       (10032377*s[15])/864 + (143575915*s[16])/9504 + 
       (99630265*s[17])/9504 + (5120953*s[18])/3888 + (2934169*s[19])/1944 + 
       (88488997*s[20])/5346 + (57660389*s[21])/10692 - 
       (103976645*s[22])/21384 - (63188629*s[23])/4752 - 
       (414585349*s[24])/42768 + (10701318931*s[25])/769824 - 
       (5219286163*s[26])/769824 - s[28]/8 + (23*s[29])/4 - (77*s[30])/12 - 
       (115*s[31])/12 + (8*s[32])/3 - (247*s[33])/16 + (277*s[34])/12 + 
       27*s[35] + (2267*s[36])/36 - (4609*s[37])/144 - (847*s[38])/2 + 
       (13799*s[39])/8 - (134791*s[40])/72 + (2947*s[41])/2 - 
       (22975*s[42])/9 - (1090721*s[43])/792 + (4797341*s[44])/3168 - 
       (4158905*s[45])/3168 + (36802783*s[46])/3168 - (6613759*s[47])/9504 + 
       (1606937*s[48])/9504 + (60192445*s[49])/9504 - (14327905*s[50])/1584 - 
       (16813943*s[51])/9504 - (12957821*s[52])/9504 + 
       (59197631*s[53])/9504 - (13577*s[54])/792 + (121777927*s[55])/3168 + 
       (31456171*s[56])/3168 - (16725013*s[57])/1188 + (11236949*s[58])/594 - 
       (61398467*s[59])/3168 - (2666222201*s[60])/28512 + 
       (2443297213*s[61])/513216 - (3*s[64])/8 + (19*s[65])/24 + 
       (20*s[66])/3 - (28*s[67])/3 - (59*s[68])/6 - (37*s[69])/3 - 
       (97*s[70])/12 + (7*s[71])/2 - (29*s[72])/2 + 15*s[73] + (83*s[74])/6 - 
       (175*s[75])/12 + (50*s[76])/3 + (169*s[77])/12 - (101*s[78])/3 - 
       141*s[79] - (1399*s[80])/72 + s[81]/24 + (289*s[82])/2 - (7*s[83])/2 - 
       (145*s[84])/2 + 9*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*((31*s[2])/4 + (59*s[3])/24 + 
       (26147*s[4])/48 + (971809*s[5])/3168 + (578821*s[6])/704 + 
       (49788593*s[7])/6336 - (13535443*s[8])/19008 - (11448737*s[9])/1728 - 
       (1639715*s[10])/864 - (110322193*s[11])/12672 - 
       (122914655*s[12])/12672 - (18515815*s[13])/3168 - (158957*s[14])/352 - 
       (17679515*s[15])/1728 - (41414381*s[16])/3168 - 
       (121880273*s[17])/12672 - (7279681*s[18])/5184 - 
       (5878637*s[19])/5184 - (431686861*s[20])/28512 - 
       (19006907*s[21])/3564 + (236484595*s[22])/57024 + 
       (131018257*s[23])/12672 + (955801565*s[24])/114048 - 
       (11618537365*s[25])/1026432 + (6144702985*s[26])/1026432 - s[29]/2 + 
       (13*s[30])/8 + (23*s[31])/4 - (5*s[32])/12 + (337*s[33])/96 - 
       (281*s[34])/24 - (91*s[35])/6 - (200*s[36])/9 + (73*s[37])/2 + 
       (2776*s[38])/9 - (60811*s[39])/48 + (201065*s[40])/144 - 
       (34773*s[41])/32 + (178369*s[42])/96 + (1616621*s[43])/1584 - 
       (3454193*s[44])/3168 + (46593*s[45])/44 - (14077265*s[46])/1584 + 
       (1606499*s[47])/3168 - (82825*s[48])/1056 - (4911317*s[49])/1056 + 
       (10783433*s[50])/1584 + (12038723*s[51])/9504 + (3316627*s[52])/3168 - 
       (22321349*s[53])/4752 + (399913*s[54])/1584 - (277323019*s[55])/9504 - 
       (36669763*s[56])/4752 + (9402973*s[57])/891 - (1238410933*s[58])/
        85536 + (625375385*s[59])/42768 + (18833401*s[60])/264 - 
       (5758726697*s[61])/1539648 - s[65]/12 - s[66]/3 + (2*s[67])/3 + 
       (19*s[68])/6 - (11*s[69])/6 + s[70]/6 - (2*s[71])/3 + (14*s[72])/3 - 
       4*s[73] - (20*s[74])/3 + (77*s[75])/12 - (22*s[76])/3 + s[77] + 
       10*s[78] + (673*s[79])/6 - (379*s[80])/18 - (821*s[82])/12 + s[83]/4 + 
       (105*s[84])/2 + 9*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*((31*s[2])/16 - (703*s[3])/96 + 
       (318167*s[4])/576 + (97753*s[5])/288 + (3567*s[6])/4 + 
       (28623511*s[7])/3456 - (1933369*s[8])/2592 - (36309299*s[9])/5184 - 
       (5255615*s[10])/2592 - (7895861*s[11])/864 - (34997173*s[12])/3456 - 
       (21064135*s[13])/3456 - (2209001*s[14])/3456 - (12462341*s[15])/1152 - 
       (23826671*s[16])/1728 - (5911849*s[17])/576 - (24204331*s[18])/15552 - 
       (8605099*s[19])/7776 - (249953323*s[20])/15552 - 
       (179887163*s[21])/31104 + (135954853*s[22])/31104 + 
       (37245353*s[23])/3456 + (270978565*s[24])/31104 - 
       (3295526129*s[25])/279936 + (1778660801*s[26])/279936 - s[29]/2 + 
       (13*s[30])/8 + 4*s[31] + (35*s[32])/12 - (47*s[33])/48 - 
       (47*s[34])/8 - (127*s[35])/24 - (581*s[36])/24 + (5333*s[37])/144 + 
       (5533*s[38])/18 - (47249*s[39])/36 + (104131*s[40])/72 - 
       (325855*s[41])/288 + (62291*s[42])/32 + (276667*s[43])/264 - 
       (74083*s[44])/66 + (3377915*s[45])/3168 - (28975885*s[46])/3168 + 
       (5197715*s[47])/9504 - (1182571*s[48])/9504 - (22530913*s[49])/4752 + 
       (154001*s[50])/22 + (702641*s[51])/528 + (5168195*s[52])/4752 - 
       (45670961*s[53])/9504 + (194009*s[54])/792 - (70893931*s[55])/2376 - 
       (75898931*s[56])/9504 + (325230407*s[57])/28512 - 
       (644527337*s[58])/42768 + (647707163*s[59])/42768 + 
       (2077214773*s[60])/28512 - (743653915*s[61])/192456 - s[65]/12 - 
       s[66]/3 + (2*s[67])/3 + (41*s[68])/12 - (25*s[69])/12 - s[70]/12 - 
       (5*s[71])/12 + (73*s[72])/12 - (5*s[73])/12 - (317*s[74])/48 + 
       (317*s[75])/48 - (85*s[76])/12 + (13*s[77])/24 + (91*s[78])/12 + 
       (362*s[79])/3 - (1859*s[80])/72 - (817*s[82])/12 + s[83]/4 + 
       (105*s[84])/2 + 9*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*
      HPL[{0, 1}, 1 - w]*((493*s[2])/288 + (2167*s[3])/576 + 
       (64337*s[4])/1152 + (265505*s[5])/6336 + (1408115*s[6])/12672 + 
       (217471147*s[7])/228096 - (8153083*s[8])/114048 - 
       (4158445*s[9])/5184 - (695413*s[10])/2592 - (78788891*s[11])/76032 - 
       (42346639*s[12])/38016 - (152458121*s[13])/228096 - 
       (12991937*s[14])/76032 - (27068845*s[15])/20736 - 
       (187197871*s[16])/114048 - (302040883*s[17])/228096 - 
       (632221*s[18])/3888 - (4956301*s[19])/31104 - (661871833*s[20])/
        342144 - (53334571*s[21])/76032 + (341489003*s[22])/684288 + 
       (55960471*s[23])/57024 + (185113157*s[24])/171072 - 
       (668814431*s[25])/513216 + (93435929*s[26])/128304 + s[29]/6 - 
       (125*s[30])/144 + s[31]/18 - (23*s[32])/72 - (293*s[33])/288 + 
       (263*s[34])/144 + (293*s[35])/144 + (83*s[36])/72 - (119*s[37])/864 + 
       (761*s[38])/36 - (58897*s[39])/576 + (71713*s[40])/576 - 
       (19327*s[41])/192 + (88631*s[42])/576 + (19207*s[43])/192 - 
       (15091*s[44])/144 + (205849*s[45])/1728 - (199049*s[46])/216 + 
       (5003*s[47])/216 + (68305*s[48])/1728 - (99023*s[49])/216 + 
       (211967*s[50])/288 + (167243*s[51])/1728 + (125747*s[52])/1728 - 
       (667583*s[53])/1296 + (12751*s[54])/864 - (472421*s[55])/144 - 
       (1118611*s[56])/1296 + (4396481*s[57])/7776 - (63458447*s[58])/46656 + 
       (4104209*s[59])/2916 + (26895449*s[60])/3456 - 
       (351164707*s[61])/839808 + s[65]/12 + s[66]/3 - s[67]/3 - s[68] + 
       s[69]/3 - s[70]/36 + (11*s[71])/48 - (17*s[72])/72 - (85*s[73])/72 + 
       (19*s[74])/288 - (19*s[75])/288 + (29*s[76])/24 - (47*s[77])/144 - 
       (47*s[78])/24 + (803*s[79])/36 - (5087*s[80])/432 + (79*s[82])/2 - 
       s[83]/4 + (85*s[84])/12 + (19*s[85])/2) + HPL[{1}, 1 - v]^4*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*((25*s[2])/24 + (19*s[3])/3 + 
       (865*s[4])/48 + (1767*s[5])/88 + (53113*s[6])/1056 + 
       (687349*s[7])/1584 - (246019*s[8])/9504 - (313607*s[9])/864 - 
       (16031*s[10])/108 - (2943913*s[11])/6336 - (3032435*s[12])/6336 - 
       (298963*s[13])/1056 - (200569*s[14])/1584 - (14903*s[15])/24 - 
       (67445*s[16])/88 - (4215017*s[17])/6336 - (170317*s[18])/2592 - 
       (253577*s[19])/2592 - (26650565*s[20])/28512 - (9489113*s[21])/28512 + 
       (6370759*s[22])/28512 + (459161*s[23])/2112 + (30860195*s[24])/57024 - 
       (293301139*s[25])/513216 + (168221245*s[26])/513216 + s[32]/12 - 
       2*s[37] + (47*s[38])/8 - (469*s[39])/24 + (613*s[40])/24 - 
       (529*s[41])/24 + (923*s[42])/48 + (3557*s[43])/88 - (5107*s[44])/132 + 
       (22609*s[45])/264 - (127289*s[46])/264 - (12913*s[47])/792 + 
       (94723*s[48])/1584 - (75841*s[49])/396 + (101675*s[50])/264 + 
       (12401*s[51])/792 + (6211*s[52])/792 - (439793*s[53])/1584 - 
       (146*s[54])/11 - (3047903*s[55])/1584 - (83439*s[56])/176 - 
       (68817*s[57])/176 - (323665*s[58])/594 + (2735861*s[59])/4752 + 
       (41401537*s[60])/9504 - (10648333*s[61])/42768 - s[68]/3 + s[69]/3 + 
       s[73] - s[77]/3 + (211*s[82])/4 + 10*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]*
      (4*s[2] - (573*s[3])/16 + (40477*s[4])/288 + (44153*s[5])/1056 + 
       (142289*s[6])/1056 + (29594453*s[7])/19008 - (4500499*s[8])/28512 - 
       (1749403*s[9])/1296 - (666601*s[10])/2592 - (16932977*s[11])/9504 - 
       (39496481*s[12])/19008 - (24890201*s[13])/19008 + 
       (3310685*s[14])/19008 - (3238693*s[15])/1728 - (22809829*s[16])/9504 - 
       (4630313*s[17])/3168 - (1036883*s[18])/3888 - (36205*s[19])/243 - 
       (231578861*s[20])/85536 - (154729723*s[21])/171072 + 
       (146661959*s[22])/171072 + (52807123*s[23])/19008 + 
       (255270911*s[24])/171072 - (929378005*s[25])/384912 + 
       (226619477*s[26])/192456 + (7*s[29])/4 + (3*s[30])/2 + (9*s[31])/2 + 
       s[32]/2 + (171*s[33])/16 - (39*s[34])/4 - (5*s[35])/2 + (5*s[36])/8 + 
       (469*s[37])/48 + (7891*s[38])/72 - (41197*s[39])/96 + 
       (45505*s[40])/96 - (109801*s[41])/288 + (179987*s[42])/288 + 
       (1125857*s[43])/3168 - (2333195*s[44])/6336 + (280469*s[45])/1056 - 
       (1056139*s[46])/396 + (3045617*s[47])/19008 - (883165*s[48])/19008 - 
       (30262967*s[49])/19008 + (551081*s[50])/264 + (916855*s[51])/2112 + 
       (6432601*s[52])/19008 - (839429*s[53])/594 + (17767*s[54])/264 - 
       (54623201*s[55])/6336 - (13575151*s[56])/6336 + 
       (16086541*s[57])/4752 - (81625361*s[58])/19008 + 
       (84865009*s[59])/19008 + (2482562111*s[60])/114048 - 
       (123081769*s[61])/128304 + s[65]/4 + s[66] - (5*s[67])/2 - 
       (3*s[68])/4 - (11*s[69])/4 + s[70]/2 - (3*s[71])/4 + (3*s[72])/2 - 
       (9*s[73])/2 - (11*s[74])/8 + (11*s[75])/8 - (27*s[76])/4 - 
       (7*s[77])/4 + 2*s[78] + (143*s[79])/2 - (373*s[80])/24 - 79*s[82] - 
       (3*s[83])/4 + (57*s[84])/2 + 10*s[85]) + HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*((5*s[2])/12 + (13*s[3])/9 + 
       (1213*s[4])/72 + (30143*s[5])/792 + (878*s[6])/11 + 
       (7219843*s[7])/9504 - (4867*s[8])/99 - (93877*s[9])/144 - 
       (35329*s[10])/144 - (1302209*s[11])/1584 - (2787329*s[12])/3168 - 
       (296177*s[13])/594 - (562055*s[14])/3168 - (896011*s[15])/864 - 
       (12301187*s[16])/9504 - (2441443*s[17])/2376 - (211423*s[18])/1296 - 
       (33803*s[19])/324 - (46446679*s[20])/28512 - (8757355*s[21])/14256 + 
       (1269119*s[22])/3168 + (6236911*s[23])/9504 + (8061443*s[24])/9504 - 
       (255233237*s[25])/256608 + (75966073*s[26])/128304 + (55*s[32])/36 - 
       (5*s[37])/6 + (1559*s[38])/72 - (2789*s[39])/36 + (3137*s[40])/36 - 
       (769*s[41])/12 + (1943*s[42])/18 + (9305*s[43])/99 - 
       (271321*s[44])/3168 + (22399*s[45])/198 - (213133*s[46])/264 + 
       (31153*s[47])/9504 + (730027*s[48])/9504 - (3924715*s[49])/9504 + 
       (164177*s[50])/264 + (746189*s[51])/9504 + (497141*s[52])/9504 - 
       (501145*s[53])/1188 - (37517*s[54])/792 - (25839853*s[55])/9504 - 
       (2200061*s[56])/3168 + (395699*s[57])/1188 - (32791609*s[58])/28512 + 
       (32769427*s[59])/28512 + (389981059*s[60])/57024 - 
       (31731959*s[61])/85536 + (19*s[68])/18 - (19*s[69])/18 + 4*s[73] + 
       (19*s[77])/18 + (203*s[82])/6 + (34*s[85])/3) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((275*s[2])/24 - (227*s[3])/8 - (12217*s[4])/24 - (271991*s[5])/3168 - 
       (1402073*s[6])/3168 - (68341039*s[7])/14256 + (50024047*s[8])/85536 + 
       (30137627*s[9])/7776 + (7187425*s[10])/7776 + (156615407*s[11])/
        28512 + (46043653*s[12])/7128 + (12624845*s[13])/3168 - 
       (9420131*s[14])/14256 + (5142061*s[15])/864 + (37326001*s[16])/4752 + 
       (72242741*s[17])/14256 + (7938473*s[18])/11664 + 
       (20280719*s[19])/23328 + (2132311823*s[20])/256608 + 
       (20482513*s[21])/8019 - (642642859*s[22])/256608 - 
       (6407671*s[23])/792 - (1309703641*s[24])/256608 + 
       (35273321689*s[25])/4618944 - (16419477685*s[26])/4618944 + 
       (89*s[29])/18 - (7*s[30])/6 + (29*s[31])/9 - (49*s[32])/72 - 
       (97*s[33])/72 + (4*s[34])/9 + (119*s[35])/18 + (700*s[36])/27 - 
       (407*s[37])/16 - (19783*s[38])/72 + (37669*s[39])/36 - 
       (122287*s[40])/108 + (42697*s[41])/48 - (645491*s[42])/432 - 
       (522193*s[43])/594 + (18001439*s[44])/19008 - (283727*s[45])/352 + 
       (67173751*s[46])/9504 - (20072689*s[47])/57024 - 
       (2531737*s[48])/57024 + (233742187*s[49])/57024 - 
       (6491423*s[50])/1188 - (56418809*s[51])/57024 - 
       (44704631*s[52])/57024 + (106920203*s[53])/28512 + 
       (234643*s[54])/2376 + (147583505*s[55])/6336 + 
       (329895625*s[56])/57024 - (679315685*s[57])/85536 + 
       (5804728379*s[58])/513216 - (6005501387*s[59])/513216 - 
       (19781333863*s[60])/342144 + (6453944041*s[61])/2309472 - 
       (7*s[65])/36 + (31*s[66])/18 - (32*s[67])/9 - (11*s[68])/9 - 
       (79*s[69])/18 - (32*s[70])/9 + (71*s[71])/72 - (44*s[72])/9 + 
       (64*s[73])/9 + (11*s[74])/2 - (21*s[75])/4 - (40*s[76])/9 + 
       (64*s[77])/9 - (163*s[78])/18 - (431*s[79])/6 + (713*s[80])/72 + 
       27*s[82] + (4*s[83])/3 - (104*s[84])/3 + (34*s[85])/3) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      ((119*s[2])/96 + (3821*s[3])/576 + (56453*s[4])/384 + 
       (46663*s[5])/352 + (3819331*s[6])/12672 + (618069073*s[7])/228096 - 
       (67905389*s[8])/342144 - (4496377*s[9])/1944 - 
       (11560045*s[10])/15552 - (675736619*s[11])/228096 - 
       (364805801*s[12])/114048 - (435841663*s[13])/228096 - 
       (98529905*s[14])/228096 - (75501995*s[15])/20736 - 
       (524057177*s[16])/114048 - (274542991*s[17])/76032 - 
       (12014393*s[18])/23328 - (36427099*s[19])/93312 - 
       (5640833383*s[20])/1026432 - (4180660931*s[21])/2052864 + 
       (2934093799*s[22])/2052864 + (84698389*s[23])/28512 + 
       (1521227839*s[24])/513216 - (34343543473*s[25])/9237888 + 
       (19403148967*s[26])/9237888 + s[29]/12 - (23*s[30])/144 + s[31]/6 - 
       (11*s[32])/48 + (35*s[33])/96 - (27*s[34])/16 - (17*s[35])/144 - 
       (103*s[36])/18 + (2551*s[37])/432 + (13409*s[38])/144 - 
       (214313*s[39])/576 + (239585*s[40])/576 - (63197*s[41])/192 + 
       (102887*s[42])/192 + (2100055*s[43])/6336 - (486579*s[44])/1408 + 
       (1767703*s[45])/4752 - (55295539*s[46])/19008 + 
       (4482425*s[47])/38016 + (2168927*s[48])/38016 - 
       (56636399*s[49])/38016 + (782479*s[50])/352 + (14009135*s[51])/38016 + 
       (11513725*s[52])/38016 - (87432095*s[53])/57024 + 
       (450859*s[54])/9504 - (369583765*s[55])/38016 - 
       (293276399*s[56])/114048 + (477124723*s[57])/171072 - 
       (4704509695*s[58])/1026432 + (4756859401*s[59])/1026432 + 
       (200340787*s[60])/8448 - (11622510289*s[61])/9237888 + s[65]/24 + 
       s[66]/6 - s[67]/6 - (5*s[68])/12 + s[69]/12 - (7*s[70])/36 - 
       (13*s[71])/24 + (23*s[72])/24 + (35*s[73])/24 - (491*s[74])/288 + 
       (491*s[75])/288 - (29*s[76])/24 - (97*s[77])/144 + (49*s[78])/72 + 
       (539*s[79])/18 - (833*s[80])/216 + 26*s[82] - s[83]/8 + (43*s[84])/3 + 
       (23*s[85])/2) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*((9*s[2])/2 + 10*s[3] + (7*s[4])/2 + 
       (301*s[5])/22 + (2025*s[6])/44 + (9083*s[7])/33 - (617*s[8])/132 - 
       (1379*s[9])/6 - (1433*s[10])/12 - (25491*s[11])/88 - 
       (23823*s[12])/88 - (23257*s[13])/132 - (5921*s[14])/44 - 
       (857*s[15])/2 - (17044*s[16])/33 - (135391*s[17])/264 - 
       (205*s[18])/6 - 77*s[19] - (83959*s[20])/132 - (24164*s[21])/99 + 
       (55217*s[22])/396 + (1447*s[23])/264 + (291619*s[24])/792 - 
       (2397865*s[25])/7128 + (1558957*s[26])/7128 - s[32]/2 + 5*s[37] - 
       s[38] + (19*s[39])/2 - (7*s[40])/2 + 3*s[41] - 28*s[42] + 
       (321*s[43])/22 - (353*s[44])/22 + (1471*s[45])/22 - (3231*s[46])/11 - 
       (1843*s[47])/44 + (2843*s[48])/44 - (4063*s[49])/44 + 
       (5339*s[50])/22 - (3845*s[51])/132 - (241*s[52])/22 - 
       (3869*s[53])/22 - (771*s[54])/22 - (57373*s[55])/44 - 
       (13169*s[56])/44 - (37475*s[57])/66 - (104857*s[58])/396 + 
       (113875*s[59])/396 + (249787*s[60])/88 - (307475*s[61])/1782 - s[68] + 
       s[69] - s[77] + 54*s[82] + 12*s[85]) + HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*(-2*s[2] + (27*s[3])/4 - 
       (69*s[4])/8 - (567*s[5])/88 + (347*s[6])/22 - (18177*s[7])/176 + 
       (2149*s[8])/198 + (7529*s[9])/72 - (329*s[10])/72 + 
       (69463*s[11])/528 + (11533*s[12])/66 + (55417*s[13])/528 - 
       (44201*s[14])/528 + (4351*s[15])/48 + (33257*s[16])/264 - 
       (3581*s[17])/528 + (3037*s[18])/216 + (1619*s[19])/216 + 
       (332195*s[20])/2376 + (121111*s[21])/4752 - (314537*s[22])/4752 - 
       (17395*s[23])/66 - (52939*s[24])/594 + (8535127*s[25])/42768 - 
       (2810839*s[26])/42768 + s[27]/2 - 2*s[31] - (9*s[33])/4 + 4*s[34] + 
       4*s[35] + 2*s[36] - (91*s[37])/12 - (33*s[38])/2 + (201*s[39])/4 - 
       (177*s[40])/4 + 34*s[41] - (155*s[42])/2 - (779*s[43])/44 + 
       (1901*s[44])/88 + (3205*s[45])/264 + (10739*s[46])/264 - 
       (12943*s[47])/264 + (17351*s[48])/264 + (21625*s[49])/264 - 
       (383*s[50])/22 - (6041*s[51])/88 - (12215*s[52])/264 + 
       (3277*s[53])/792 - (2225*s[54])/132 - (13087*s[55])/88 - 
       (41785*s[56])/792 - (888529*s[57])/1188 + (818801*s[58])/3564 - 
       (1561489*s[59])/7128 - (2815*s[60])/792 - (4086685*s[61])/128304 - 
       s[68] + s[69] + s[71]/2 + s[74]/2 - s[75]/2 + 2*s[76] - s[77] - 
       2*s[78] + 4*s[79] - (43*s[80])/6 + 54*s[82] + 12*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((7*s[2])/2 - 2*s[3] + 202*s[4] + (10623*s[5])/44 + (10401*s[6])/22 + 
       (1093211*s[7])/264 - (120805*s[8])/396 - (127925*s[9])/36 - 
       (9286*s[10])/9 - (615401*s[11])/132 - (1368017*s[12])/264 - 
       (827261*s[13])/264 - (152995*s[14])/264 - (126847*s[15])/24 - 
       (901063*s[16])/132 - (54831*s[17])/11 - (23458*s[18])/27 - 
       (27079*s[19])/54 - (4948057*s[20])/594 - (7691227*s[21])/2376 + 
       (5216039*s[22])/2376 + (1283827*s[23])/264 + (10737875*s[24])/2376 - 
       (31120381*s[25])/5346 + (9023549*s[26])/2673 - 4*s[32] + 35*s[37] + 
       231*s[38] - 709*s[39] + 753*s[40] - 573*s[41] + (1859*s[42])/2 + 
       (7695*s[43])/11 - (29811*s[44])/44 + (8032*s[45])/11 - 
       (61714*s[46])/11 + (5297*s[47])/33 + (8729*s[48])/33 - 
       (205747*s[49])/66 + (45332*s[50])/11 + (13227*s[51])/22 + 
       (71701*s[52])/132 - (62649*s[53])/22 + (888*s[54])/11 - 
       (608402*s[55])/33 - (317291*s[56])/66 + (1870435*s[57])/396 - 
       (5184961*s[58])/594 + (5284141*s[59])/594 + (9250013*s[60])/198 - 
       (25206509*s[61])/10692 - 5*s[68] - 3*s[69] + 4*s[73] - 5*s[77] + 
       78*s[82] + 12*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*(8*s[2] - (27*s[3])/4 + (1745*s[4])/8 + 
       (8277*s[5])/44 + (37547*s[6])/88 + (2058697*s[7])/528 - 
       (734473*s[8])/2376 - (360547*s[9])/108 - (98993*s[10])/108 - 
       (7019893*s[11])/1584 - (3977887*s[12])/792 - (4928281*s[13])/1584 - 
       (489595*s[14])/1584 - (695789*s[15])/144 - (5062781*s[16])/792 - 
       (7061299*s[17])/1584 - (232661*s[18])/324 - (347255*s[19])/648 - 
       (53928905*s[20])/7128 - (39981661*s[21])/14256 + 
       (29653529*s[22])/14256 + (473978*s[23])/99 + (3803900*s[24])/891 - 
       (182271799*s[25])/32076 + (24879688*s[26])/8019 + 6*s[31] - 
       (37*s[33])/4 - 4*s[34] - 14*s[35] - (17*s[36])/2 + 45*s[37] + 
       (395*s[38])/2 - (5141*s[39])/8 + (5505*s[40])/8 - (4091*s[41])/8 + 
       (6891*s[42])/8 + (52675*s[43])/88 - (104573*s[44])/176 + 
       (26271*s[45])/44 - (415823*s[46])/88 + (33397*s[47])/176 + 
       (23695*s[48])/176 - (468031*s[49])/176 + (76371*s[50])/22 + 
       (95803*s[51])/176 + (90845*s[52])/176 - (617305*s[53])/264 + 
       (3631*s[54])/44 - (7954921*s[55])/528 - (2139631*s[56])/528 + 
       (1061981*s[57])/198 - (36962093*s[58])/4752 + (37073711*s[59])/4752 + 
       (41160653*s[60])/1056 - (84286661*s[61])/42768 - (3*s[62])/2 + s[68] - 
       3*s[69] + s[71]/2 + s[74]/2 - s[75]/2 - 6*s[76] + s[77] + 4*s[78] + 
       4*s[79] + 9*s[80] + 78*s[82] + 12*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*
      (-12*s[3] - (77*s[4])/4 - (815*s[5])/22 - (10231*s[6])/176 - 
       (70771*s[7])/132 + (60437*s[8])/1584 + (65449*s[9])/144 + 
       (11353*s[10])/72 + (592043*s[11])/1056 + (612889*s[12])/1056 + 
       (15623*s[13])/44 + (16153*s[14])/132 + (6353*s[15])/8 + 
       (160339*s[16])/176 + (843967*s[17])/1056 + (47129*s[18])/432 + 
       (36433*s[19])/432 + (2594585*s[20])/2376 + (250295*s[21])/594 - 
       (1294493*s[22])/4752 - (172867*s[23])/352 - (5654401*s[24])/9504 + 
       (59618495*s[25])/85536 - (35573231*s[26])/85536 - (5*s[36])/2 - 
       (49*s[37])/4 + (41*s[38])/2 - (311*s[39])/4 + (369*s[40])/4 - 
       (817*s[41])/8 + (739*s[42])/8 + (1446*s[43])/11 - (22579*s[44])/176 + 
       (5195*s[45])/44 - (20375*s[46])/22 - (9965*s[47])/176 + 
       (26027*s[48])/176 - (112555*s[49])/176 + (17719*s[50])/22 + 
       (21011*s[51])/528 + (689*s[52])/176 - (142985*s[53])/264 - 
       (7017*s[54])/44 - (601321*s[55])/176 - (293237*s[56])/528 - 
       (121487*s[57])/198 - (4370743*s[58])/4752 + (5235553*s[59])/4752 + 
       (9231283*s[60])/1056 - (13253479*s[61])/42768 - 3*s[68] + 3*s[69] - 
       (3*s[71])/2 - 6*s[76] - 3*s[77] + 3*s[78] - 6*s[79] + (37*s[80])/2 + 
       117*s[82] + 12*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v]*((-27*s[2])/2 + (333*s[3])/2 + (339*s[4])/2 - 
       (1612*s[5])/11 - (669*s[6])/11 - (93551*s[7])/176 - (42685*s[8])/264 + 
       (8699*s[9])/12 + (1459*s[10])/12 + (110519*s[11])/176 + 
       (53011*s[12])/88 + (96603*s[13])/176 + (95857*s[14])/176 + 
       (16123*s[15])/48 + (45283*s[16])/88 + (36361*s[17])/176 + 
       (2107*s[18])/9 - (2500*s[19])/9 + (1066609*s[20])/792 + 
       (1650065*s[21])/1584 - (641341*s[22])/1584 + (40595*s[23])/88 - 
       (308357*s[24])/792 + (2408089*s[25])/7128 - (4640593*s[26])/7128 + 
       (15*s[30])/2 - 12*s[31] - (3*s[32])/2 + (57*s[34])/2 + (57*s[35])/2 + 
       (117*s[36])/4 + (149*s[37])/8 - 223*s[38] + (7017*s[39])/16 - 
       (6933*s[40])/16 + (6333*s[41])/16 - (8637*s[42])/16 - 
       (121695*s[43])/176 + (167213*s[44])/352 - (83157*s[45])/176 + 
       (171175*s[46])/44 + (46371*s[47])/352 - (212151*s[48])/352 + 
       (960711*s[49])/352 - (64587*s[50])/22 - (287149*s[51])/1056 - 
       (119869*s[52])/352 + (130595*s[53])/66 + (5157*s[54])/11 + 
       (13703153*s[55])/1056 + (3196507*s[56])/1056 - (254987*s[57])/396 + 
       (49336247*s[58])/9504 - (54834635*s[59])/9504 - (24411881*s[60])/704 + 
       (60413659*s[61])/42768 - (3*s[68])/2 + (3*s[69])/2 - 15*s[70] + 
       6*s[71] + (3*s[74])/4 - (3*s[75])/4 - 3*s[76] + 3*s[77] - 9*s[78] + 
       54*s[79] - (295*s[80])/4 + 312*s[82] - 36*s[84] + 12*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1}, 1 - w]*
      ((5*s[2])/4 + (181*s[3])/8 + (3481*s[4])/16 - (127*s[5])/44 + 
       (37287*s[6])/176 + (6554159*s[7])/3168 - (1157437*s[8])/4752 - 
       (89311*s[9])/54 - (108569*s[10])/216 - (7668421*s[11])/3168 - 
       (279583*s[12])/99 - (5763407*s[13])/3168 + (822203*s[14])/3168 - 
       (760801*s[15])/288 - (1398649*s[16])/396 - (2555137*s[17])/1056 - 
       (46555*s[18])/324 - (744725*s[19])/1296 - (50940521*s[20])/14256 - 
       (28879795*s[21])/28512 + (31037135*s[22])/28512 + 
       (2349295*s[23])/792 + (8792227*s[24])/3564 - (436709627*s[25])/
        128304 + (195183143*s[26])/128304 - 4*s[29] + s[30] - 3*s[31] - 
       2*s[32] - (93*s[33])/8 - s[34] + (5*s[35])/2 - (205*s[36])/6 + 
       (197*s[37])/12 + (221*s[38])/2 - 405*s[39] + (2743*s[40])/6 - 
       (1375*s[41])/4 + (3305*s[42])/6 + (1073*s[43])/3 - (20213*s[44])/48 + 
       (8213*s[45])/24 - (23069*s[46])/8 + (10411*s[47])/144 + 
       (21547*s[48])/144 - (265969*s[49])/144 + (6998*s[50])/3 + 
       (47987*s[51])/144 + (32861*s[52])/144 - (4622*s[53])/3 - 
       (529*s[54])/2 - (468833*s[55])/48 - (328583*s[56])/144 + 
       (550009*s[57])/216 - (5740975*s[58])/1296 + (6149629*s[59])/1296 + 
       (21724573*s[60])/864 - (12641809*s[61])/11664 - s[65] - 4*s[66] + 
       6*s[67] - 2*s[68] + 14*s[69] + 3*s[70] + 3*s[72] - 7*s[73] - 
       (9*s[74])/4 + (9*s[75])/4 + 2*s[76] - (29*s[77])/2 + 11*s[78] + 
       52*s[79] - (91*s[80])/6 + 162*s[82] + 3*s[83] - 24*s[84] + 12*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 1 - w]*(5*s[2] + (525*s[3])/4 + 
       (725*s[4])/8 - (6467*s[5])/44 - (3033*s[6])/88 - (1966499*s[7])/1584 + 
       (24503*s[8])/2376 + (142649*s[9])/108 + (46225*s[10])/108 + 
       (1913375*s[11])/1584 + (880013*s[12])/792 + (98939*s[13])/176 + 
       (1052549*s[14])/1584 + (85679*s[15])/48 + (131809*s[16])/66 + 
       (2912113*s[17])/1584 + (27064*s[18])/81 - (44543*s[19])/648 + 
       (21650491*s[20])/7128 + (19620875*s[21])/14256 - 
       (10748383*s[22])/14256 - (34427*s[23])/88 - (8231591*s[24])/7128 + 
       (9297236*s[25])/8019 - (15582955*s[26])/16038 - 4*s[29] + 3*s[30] - 
       12*s[31] + (11*s[32])/2 - (41*s[33])/4 + 19*s[34] + 11*s[35] - 
       (4*s[36])/3 - (29*s[37])/6 - 19*s[38] + 172*s[39] - (572*s[40])/3 + 
       (391*s[41])/2 - (1889*s[42])/6 - (2380*s[43])/33 + (29903*s[44])/264 - 
       (1039*s[45])/33 + (27653*s[46])/33 - (116599*s[47])/792 + 
       (178949*s[48])/792 + (300913*s[49])/792 - (25528*s[50])/33 - 
       (202451*s[51])/792 - (143411*s[52])/792 + (198379*s[53])/396 - 
       (1813*s[54])/33 + (755137*s[55])/264 + (182605*s[56])/264 - 
       (365615*s[57])/198 + (411391*s[58])/264 - (1238509*s[59])/792 - 
       (29243527*s[60])/4752 + (1426481*s[61])/5346 - 4*s[63] - 2*s[65] - 
       4*s[66] + 4*s[67] + 6*s[68] + 6*s[69] + 11*s[70] + s[71] - 2*s[72] - 
       2*s[73] + (5*s[74])/2 - (5*s[75])/2 + 13*s[76] - 12*s[77] - 10*s[78] - 
       56*s[79] - (2*s[80])/3 + 162*s[82] + 3*s[83] - 24*s[84] + 12*s[85]) + 
     D34[v, w, u]*((11*s[2])/4 - (25*s[3])/8 + (1159*s[4])/16 + 
       (291*s[5])/4 + (2619*s[6])/16 + (424775*s[7])/288 - (45617*s[8])/432 - 
       (34031*s[9])/27 - (90947*s[10])/216 - (462341*s[11])/288 - 
       (15497*s[12])/9 - (98621*s[13])/96 - (78173*s[14])/288 - 
       (63987*s[15])/32 - (15085*s[16])/6 - (578947*s[17])/288 - 
       (86557*s[18])/324 - (291551*s[19])/1296 - (3911509*s[20])/1296 - 
       (2895203*s[21])/2592 + (2023927*s[22])/2592 + (35113*s[23])/24 + 
       (133469*s[24])/81 - (23329861*s[25])/11664 + (13222285*s[26])/11664 + 
       s[31] - s[32]/2 + (5*s[33])/8 - s[34] - s[35]/2 - (23*s[36])/6 + 
       (31*s[37])/12 + (91*s[38])/2 - (751*s[39])/4 + (2563*s[40])/12 - 
       171*s[41] + (3245*s[42])/12 + (2113*s[43])/12 - (8941*s[44])/48 + 
       (4963*s[45])/24 - (12805*s[46])/8 + (7247*s[47])/144 + 
       (7379*s[48])/144 - (116837*s[49])/144 + (3766*s[50])/3 + 
       (26947*s[51])/144 + (20329*s[52])/144 - (10421*s[53])/12 - 
       (9*s[54])/2 - (265553*s[55])/48 - (205195*s[56])/144 + 
       (237773*s[57])/216 - (3107855*s[58])/1296 + (3175157*s[59])/1296 + 
       (11559101*s[60])/864 - (8178029*s[61])/11664 + 2*s[63] + s[67] + 
       s[72] - s[73] - (3*s[74])/4 + (3*s[75])/4 - s[77]/2 + s[78] + 
       20*s[79] - (35*s[80])/6 + 48*s[82] + 6*s[84] + 12*s[85]) + 
     B5[v, w, u]*HPL[{1}, 1 - v]*((11*s[2])/4 - (25*s[3])/8 + 
       (1143*s[4])/16 + (295*s[5])/4 + (2619*s[6])/16 + (424799*s[7])/288 - 
       (45881*s[8])/432 - (68095*s[9])/54 - (91031*s[10])/216 - 
       (462317*s[11])/288 - (15473*s[12])/9 - (98461*s[13])/96 - 
       (78149*s[14])/288 - (192337*s[15])/96 - (10063*s[16])/4 - 
       (580243*s[17])/288 - (86959*s[18])/324 - (291743*s[19])/1296 - 
       (3912217*s[20])/1296 - (2904755*s[21])/2592 + (2022655*s[22])/2592 + 
       (35375*s[23])/24 + (533141*s[24])/324 - (23304649*s[25])/11664 + 
       (13241029*s[26])/11664 + s[31] - s[32]/2 + (5*s[33])/8 - s[34] - 
       s[35]/2 - (23*s[36])/6 + (31*s[37])/12 + (91*s[38])/2 - 
       (751*s[39])/4 + (2563*s[40])/12 - 171*s[41] + (3245*s[42])/12 + 
       (2113*s[43])/12 - (8941*s[44])/48 + (4963*s[45])/24 - 
       (12805*s[46])/8 + (7259*s[47])/144 + (7391*s[48])/144 - 
       (116705*s[49])/144 + (7535*s[50])/6 + (26983*s[51])/144 + 
       (20209*s[52])/144 - (10435*s[53])/12 - (7*s[54])/2 - 
       (265709*s[55])/48 - (204583*s[56])/144 + (239537*s[57])/216 - 
       (3110987*s[58])/1296 + (3180665*s[59])/1296 + (11547089*s[60])/864 - 
       (8191169*s[61])/11664 + s[67] + s[69] + s[72] - s[73] - (3*s[74])/4 + 
       (3*s[75])/4 - s[77]/2 + s[78] + 20*s[79] - (35*s[80])/6 + 48*s[82] + 
       6*s[84] + 12*s[85]) + B5[w, v, u]*HPL[{1}, 1 - v]*
      (s[2]/4 + (55*s[3])/8 + (1561*s[4])/16 + (411*s[5])/8 + 
       (2395*s[6])/16 + (409319*s[7])/288 - (54245*s[8])/432 - 
       (64105*s[9])/54 - (41359*s[10])/108 - (450089*s[11])/288 - 
       (123727*s[12])/72 - (98453*s[13])/96 - (42017*s[14])/288 - 
       (182953*s[15])/96 - (58027*s[16])/24 - (533455*s[17])/288 - 
       (39275*s[18])/162 - (312275*s[19])/1296 - (3642997*s[20])/1296 - 
       (2542643*s[21])/2592 + (1929475*s[22])/2592 + (9877*s[23])/6 + 
       (1025527*s[24])/648 - (23494123*s[25])/11664 + 
       (12536803*s[26])/11664 + s[30]/2 - s[33]/2 + s[34]/2 - s[35]/2 - 
       (23*s[36])/6 + (31*s[37])/12 + (91*s[38])/2 - (751*s[39])/4 + 
       (2563*s[40])/12 - 171*s[41] + (3245*s[42])/12 + (2113*s[43])/12 - 
       (8941*s[44])/48 + (4963*s[45])/24 - (12805*s[46])/8 + 
       (7259*s[47])/144 + (7391*s[48])/144 - (116705*s[49])/144 + 
       (7535*s[50])/6 + (26983*s[51])/144 + (20209*s[52])/144 - 
       (10435*s[53])/12 - (7*s[54])/2 - (265709*s[55])/48 - 
       (204583*s[56])/144 + (239537*s[57])/216 - (3110987*s[58])/1296 + 
       (3180665*s[59])/1296 + (11547089*s[60])/864 - (8191169*s[61])/11664 + 
       s[67] + s[69] + s[72] - s[73] - (3*s[74])/4 + (3*s[75])/4 - s[77]/2 + 
       s[78] + 20*s[79] - (35*s[80])/6 + 48*s[82] + 6*s[84] + 12*s[85]) + 
     D34[w, u, v]*((-3*s[2])/4 + (87*s[3])/8 + (1641*s[4])/16 + 
       (387*s[5])/8 + (2419*s[6])/16 + (408119*s[7])/288 - (54677*s[8])/432 - 
       (63565*s[9])/54 - (40981*s[10])/108 - (449441*s[11])/288 - 
       (123745*s[12])/72 - (32911*s[13])/32 - (37121*s[14])/288 - 
       (182617*s[15])/96 - (57929*s[16])/24 - (531391*s[17])/288 - 
       (38699*s[18])/162 - (318827*s[19])/1296 - (3610633*s[20])/1296 - 
       (2502395*s[21])/2592 + (1916515*s[22])/2592 + (3353*s[23])/2 + 
       (1023259*s[24])/648 - (23580487*s[25])/11664 + 
       (12488707*s[26])/11664 + s[30]/2 - s[33]/2 + s[34]/2 - s[35]/2 - 
       (23*s[36])/6 + (31*s[37])/12 + (91*s[38])/2 - (751*s[39])/4 + 
       (2563*s[40])/12 - 172*s[41] + (3245*s[42])/12 + (2113*s[43])/12 - 
       (8941*s[44])/48 + (4963*s[45])/24 - (12805*s[46])/8 + 
       (7247*s[47])/144 + (7379*s[48])/144 - (116837*s[49])/144 + 
       (3769*s[50])/3 + (26947*s[51])/144 + (20329*s[52])/144 - 
       (10421*s[53])/12 - (3*s[54])/2 - (265529*s[55])/48 - 
       (205051*s[56])/144 + (238961*s[57])/216 - (3110447*s[58])/1296 + 
       (3177749*s[59])/1296 + (11551757*s[60])/864 - (8190125*s[61])/11664 + 
       s[67] + s[69] + s[72] - s[73] - (3*s[74])/4 + (3*s[75])/4 - s[77]/2 + 
       s[78] + 20*s[79] - (35*s[80])/6 + 48*s[82] + 6*s[84] + 12*s[85]) + 
     B7[v, w, u]*HPL[{1}, 1 - u]*((11*s[2])/4 - (25*s[3])/8 + 
       (1103*s[4])/16 + (1675*s[5])/22 + (29109*s[6])/176 + 
       (4676269*s[7])/3168 - (165757*s[8])/1584 - (45431*s[9])/36 - 
       (30347*s[10])/72 - (1697237*s[11])/1056 - (113651*s[12])/66 - 
       (3242381*s[13])/3168 - (299837*s[14])/1056 - (576835*s[15])/288 - 
       (498779*s[16])/198 - (6396505*s[17])/3168 - (7442*s[18])/27 - 
       (94789*s[19])/432 - (14426161*s[20])/4752 - (3591857*s[21])/3168 + 
       (7420007*s[22])/9504 + (1173895*s[23])/792 + (1953001*s[24])/1188 - 
       (28412165*s[25])/14256 + (16267169*s[26])/14256 + s[31] - s[32]/2 + 
       (5*s[33])/8 - s[34] - s[35]/2 - (23*s[36])/6 + (29*s[37])/12 + 
       (93*s[38])/2 - (753*s[39])/4 + (2557*s[40])/12 - (339*s[41])/2 + 
       (3233*s[42])/12 + (23417*s[43])/132 - (98699*s[44])/528 + 
       (54841*s[45])/264 - (422225*s[46])/264 + (77509*s[47])/1584 + 
       (89257*s[48])/1584 - (1293367*s[49])/1584 + (82333*s[50])/66 + 
       (291545*s[51])/1584 + (222551*s[52])/1584 - (342527*s[53])/396 - 
       (203*s[54])/66 - (970081*s[55])/176 - (750251*s[56])/528 + 
       (297479*s[57])/264 - (11435183*s[58])/4752 + (11690453*s[59])/4752 + 
       (126873391*s[60])/9504 - (30036709*s[61])/42768 - s[66] + s[67] + 
       s[69] + s[72] - s[73] - (3*s[74])/4 + (3*s[75])/4 - s[77]/2 + s[78] + 
       18*s[79] - (31*s[80])/6 + 48*s[82] + 6*s[84] + 12*s[85]) + 
     B5[w, u, v]*HPL[{1}, 1 - u]*(s[2]/4 + (87*s[3])/8 + (1545*s[4])/16 + 
       (415*s[5])/8 + (2403*s[6])/16 + (404807*s[7])/288 - (53485*s[8])/432 - 
       (31564*s[9])/27 - (40937*s[10])/108 - (445369*s[11])/288 - 
       (122351*s[12])/72 - (291551*s[13])/288 - (40849*s[14])/288 - 
       (544907*s[15])/288 - (172673*s[16])/72 - (177077*s[17])/96 - 
       (19568*s[18])/81 - (313507*s[19])/1296 - (3601469*s[20])/1296 - 
       (2524867*s[21])/2592 + (1898963*s[22])/2592 + (14816*s[23])/9 + 
       (1015331*s[24])/648 - (23253023*s[25])/11664 + 
       (12447695*s[26])/11664 - s[29] + s[30]/2 - s[33]/2 + s[34]/2 - 
       s[35]/2 - (23*s[36])/6 + (9*s[37])/4 + (91*s[38])/2 - (739*s[39])/4 + 
       (2503*s[40])/12 - 166*s[41] + (3173*s[42])/12 + (2077*s[43])/12 - 
       (8725*s[44])/48 + (1665*s[45])/8 - (38039*s[46])/24 + 
       (7259*s[47])/144 + (7247*s[48])/144 - (115121*s[49])/144 + 
       (7433*s[50])/6 + (26119*s[51])/144 + (19993*s[52])/144 - 
       (30989*s[53])/36 - (17*s[54])/6 - (263533*s[55])/48 - 
       (203303*s[56])/144 + (230713*s[57])/216 - (3075979*s[58])/1296 + 
       (3145657*s[59])/1296 + (11422481*s[60])/864 - (8187817*s[61])/11664 + 
       s[67] + s[69] + s[72] - s[73] - (3*s[74])/4 + (3*s[75])/4 - s[77]/2 + 
       s[78] + 16*s[79] - (9*s[80])/2 + 48*s[82] + 6*s[84] + 12*s[85]) + 
     B5[u, w, v]*HPL[{1}, 1 - u]*(s[2] + 6*s[3] + (167*s[4])/4 + 
       (1707*s[5])/44 + (4293*s[6])/44 + (654625*s[7])/792 - 
       (69151*s[8])/1188 - (75269*s[9])/108 - (13427*s[10])/54 - 
       (354419*s[11])/396 - (752891*s[12])/792 - (49627*s[13])/88 - 
       (134461*s[14])/792 - (27419*s[15])/24 - (94201*s[16])/66 - 
       (230861*s[17])/198 - (24323*s[18])/162 - (45119*s[19])/324 - 
       (1525421*s[20])/891 - (4469191*s[21])/7128 + (3068255*s[22])/7128 + 
       (67161*s[23])/88 + (6775781*s[24])/7128 - (35759711*s[25])/32076 + 
       (20345159*s[26])/32076 + s[34] - (4*s[36])/3 - (2*s[37])/3 + 
       21*s[38] - 84*s[39] + (298*s[40])/3 - (161*s[41])/2 + (703*s[42])/6 + 
       (3188*s[43])/33 - (6169*s[44])/66 + (8663*s[45])/66 - 
       (19925*s[46])/22 + (2731*s[47])/396 + (23983*s[48])/396 - 
       (169585*s[49])/396 + (23426*s[50])/33 + (32297*s[51])/396 + 
       (11995*s[52])/198 - (16547*s[53])/33 - (3*s[54])/22 - 
       (429479*s[55])/132 - (330791*s[56])/396 + (69371*s[57])/297 - 
       (4484527*s[58])/3564 + (4607629*s[59])/3564 + (18372097*s[60])/2376 - 
       (13545001*s[61])/32076 + 8*s[79] - (10*s[80])/3 + 48*s[82] + 6*s[84] + 
       12*s[85]) + D34[u, v, w]*(s[2] + 6*s[3] + (167*s[4])/4 + 
       (1707*s[5])/44 + (4315*s[6])/44 + (654559*s[7])/792 - 
       (69085*s[8])/1188 - (75263*s[9])/108 - (13403*s[10])/54 - 
       (354485*s[11])/396 - (752957*s[12])/792 - (49649*s[13])/88 - 
       (135187*s[14])/792 - (9119*s[15])/8 - (47084*s[16])/33 - 
       (115315*s[17])/99 - (12073*s[18])/81 - (45329*s[19])/324 - 
       (3048103*s[20])/1782 - (4443385*s[21])/7128 + (3067925*s[22])/7128 + 
       (66435*s[23])/88 + (6788915*s[24])/7128 - (35812247*s[25])/32076 + 
       (20284241*s[26])/32076 + s[34] - s[35] - (4*s[36])/3 - (2*s[37])/3 + 
       21*s[38] - 84*s[39] + (298*s[40])/3 - (161*s[41])/2 + (703*s[42])/6 + 
       (3188*s[43])/33 - (6169*s[44])/66 + (8663*s[45])/66 - 
       (19925*s[46])/22 + (2731*s[47])/396 + (23983*s[48])/396 - 
       (169189*s[49])/396 + (23393*s[50])/33 + (32693*s[51])/396 + 
       (12193*s[52])/198 - (16547*s[53])/33 - (25*s[54])/22 - 
       (429017*s[55])/132 - (331583*s[56])/396 + (137257*s[57])/594 - 
       (4470271*s[58])/3564 + (4586245*s[59])/3564 + (18374473*s[60])/2376 - 
       (13534903*s[61])/32076 + 8*s[79] - (10*s[80])/3 + 48*s[82] + 6*s[84] + 
       12*s[85]) + B7[u, v, w]*HPL[{1}, 1 - v]*(s[2] + 4*s[3] + 
       (157*s[4])/4 + (1713*s[5])/44 + (4247*s[6])/44 + (647443*s[7])/792 - 
       (68341*s[8])/1188 - (74729*s[9])/108 - (6619*s[10])/27 - 
       (351413*s[11])/396 - (748985*s[12])/792 - (49337*s[13])/88 - 
       (137323*s[14])/792 - (26849*s[15])/24 - (92905*s[16])/66 - 
       (113077*s[17])/99 - (24377*s[18])/162 - (43067*s[19])/324 - 
       (1513001*s[20])/891 - (4459525*s[21])/7128 + (3048761*s[22])/7128 + 
       (65947*s[23])/88 + (6667511*s[24])/7128 - (35316317*s[25])/32076 + 
       (20204543*s[26])/32076 + s[34] - (4*s[36])/3 - (2*s[37])/3 + 
       21*s[38] - 84*s[39] + (298*s[40])/3 - (161*s[41])/2 + (703*s[42])/6 + 
       (3116*s[43])/33 - (3098*s[44])/33 + (8483*s[45])/66 - 
       (19673*s[46])/22 + (3037*s[47])/396 + (24289*s[48])/396 - 
       (167335*s[49])/396 + (23084*s[50])/33 + (32531*s[51])/396 + 
       (5939*s[52])/99 - (16160*s[53])/33 + (21*s[54])/22 - 
       (420257*s[55])/132 - (328181*s[56])/396 + (87569*s[57])/297 - 
       (4508989*s[58])/3564 + (4598071*s[59])/3564 + (18100099*s[60])/2376 - 
       (13455199*s[61])/32076 + 8*s[79] - (10*s[80])/3 + 48*s[82] + 6*s[84] + 
       12*s[85]) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      ((-3*s[2])/4 - 55*s[3] - (2039*s[4])/16 + (1787*s[5])/176 - 
       (6929*s[6])/88 - (1174487*s[7])/1584 + (792895*s[8])/4752 + 
       (213959*s[9])/432 + (21247*s[10])/432 + (1277009*s[11])/1584 + 
       (1578769*s[12])/1584 + (52821*s[13])/88 - (411421*s[14])/1584 + 
       (11125*s[15])/12 + (36512*s[16])/33 + (271585*s[17])/396 + 
       (99995*s[18])/648 + (142067*s[19])/1296 + (7500073*s[20])/7128 + 
       (200021*s[21])/891 - (4622221*s[22])/14256 - (269751*s[23])/176 - 
       (3970745*s[24])/7128 + (325150033*s[25])/256608 - 
       (134836465*s[26])/256608 - 8*s[30] - 4*s[31] - (19*s[32])/8 - 
       5*s[33] + (19*s[34])/2 + (5*s[35])/2 + (31*s[36])/2 - (253*s[37])/48 - 
       (27*s[38])/4 + (573*s[39])/8 - (393*s[40])/8 + s[41]/4 - 
       (517*s[42])/4 + (879*s[43])/88 - (1209*s[44])/176 - 
       (86519*s[45])/1056 + (417425*s[46])/1056 - (77321*s[47])/528 + 
       (128137*s[48])/528 - (55357*s[49])/528 - (29891*s[50])/176 - 
       (67405*s[51])/528 - (69457*s[52])/528 + (725539*s[53])/3168 - 
       (13349*s[54])/33 + (349201*s[55])/264 + (501005*s[56])/792 - 
       (339509*s[57])/594 + (21585367*s[58])/28512 - (9203477*s[59])/14256 - 
       (7601585*s[60])/6336 + (171991697*s[61])/513216 + (21*s[65])/8 + 
       4*s[66] - 5*s[67] - 4*s[68] - 11*s[69] + (33*s[70])/4 - 2*s[71] - 
       2*s[72] + s[73] + 5*s[74] - (21*s[75])/4 + (33*s[76])/2 - 
       (11*s[77])/4 - 15*s[78] + 60*s[79] - (649*s[80])/24 + (309*s[82])/2 - 
       9*s[83] + 18*s[84] + 12*s[85]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1, 0, 1}, 1 - w]*(3*s[2] - (105*s[3])/16 + (49*s[4])/32 - 
       (427*s[5])/176 + (23953*s[6])/352 + (1290319*s[7])/6336 + 
       (379237*s[8])/9504 - (41503*s[9])/216 - (7873*s[10])/108 - 
       (2298743*s[11])/6336 - (739495*s[12])/1584 - (2639569*s[13])/6336 - 
       (494015*s[14])/6336 + (40207*s[15])/576 - (935525*s[16])/3168 - 
       (721*s[17])/704 + (4220*s[18])/81 - (320671*s[19])/2592 - 
       (10597621*s[20])/28512 - (7044809*s[21])/57024 + 
       (8054305*s[22])/57024 - (1361471*s[23])/3168 + 
       (13213091*s[24])/28512 - (112448101*s[25])/256608 + 
       (48304507*s[26])/256608 - (3*s[30])/2 - s[31] - s[32]/2 - 
       (37*s[33])/8 + (7*s[34])/2 + (25*s[36])/12 - (49*s[37])/48 + 
       (175*s[38])/8 - (199*s[39])/4 + (923*s[40])/12 - (1015*s[41])/16 + 
       (1771*s[42])/48 + (511*s[43])/6 - (721*s[44])/6 - (2527*s[45])/96 - 
       (4205*s[46])/32 - (5951*s[47])/144 + (28675*s[48])/144 - 
       (62749*s[49])/144 + (511*s[50])/6 - (55*s[51])/36 + (109*s[52])/72 + 
       (12241*s[53])/96 - (4003*s[54])/16 + (8809*s[55])/12 + 
       (11045*s[56])/72 + (593951*s[57])/432 - (1345667*s[58])/2592 + 
       (363463*s[59])/1296 + (3544145*s[60])/1728 + (2509025*s[61])/46656 - 
       s[67] - s[69] + 3*s[70] + (5*s[71])/8 + s[72] - 2*s[73] + 
       (11*s[74])/4 - 3*s[75] + 3*s[76] + s[77] - 8*s[78] + 20*s[79] - 
       (403*s[80])/24 + (309*s[82])/2 - 9*s[83] + 18*s[84] + 12*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      (s[1]/6 + 7*s[2] + (77*s[3])/12 + (10627*s[4])/48 + (44303*s[5])/264 + 
       (77655*s[6])/176 + (5986325*s[7])/1584 - (4328827*s[8])/14256 - 
       (4140971*s[9])/1296 - (614867*s[10])/648 - (2461879*s[11])/594 - 
       (21528253*s[12])/4752 - (3292313*s[13])/1188 - (558773*s[14])/1188 - 
       (1084649*s[15])/216 - (15052885*s[16])/2376 - (23026997*s[17])/4752 - 
       (2589301*s[18])/3888 - (1040851*s[19])/1944 - (317325275*s[20])/
        42768 - (114202883*s[21])/42768 + (10634819*s[22])/5346 + 
       (10362917*s[23])/2376 + (88024163*s[24])/21384 - 
       (4093141501*s[25])/769824 + (2225833147*s[26])/769824 + s[29] + 
       s[30]/12 + (19*s[31])/6 - (7*s[32])/6 + (55*s[33])/16 - (25*s[34])/4 - 
       4*s[35] - (385*s[36])/36 + (577*s[37])/72 + (1613*s[38])/12 - 
       (25049*s[39])/48 + (83887*s[40])/144 - (21469*s[41])/48 + 
       (110819*s[42])/144 + (757997*s[43])/1584 - (1487737*s[44])/3168 + 
       (889705*s[45])/1584 - (1118965*s[46])/264 + (1758203*s[47])/9504 + 
       (797441*s[48])/9504 - (19436405*s[49])/9504 + (320966*s[50])/99 + 
       (5356753*s[51])/9504 + (4188871*s[52])/9504 - (1791929*s[53])/792 + 
       (22859*s[54])/132 - (45356479*s[55])/3168 - (36909295*s[56])/9504 + 
       (13515869*s[57])/3564 - (568117403*s[58])/85536 + 
       (570513671*s[59])/85536 + (1965288917*s[60])/57024 - 
       (734558893*s[61])/384912 + s[65]/6 + (2*s[66])/3 - (4*s[67])/3 + 
       s[68]/3 - 2*s[69] - s[70]/3 - (7*s[71])/6 + s[72] - (4*s[73])/3 - 
       2*s[74] + 2*s[75] - 4*s[76] + 2*s[77] + (4*s[78])/3 + 40*s[79] + 
       (41*s[80])/36 - 13*s[82] - s[83]/2 + 23*s[84] + 12*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Omega2[v, w, u]*
      ((5*s[2])/2 + (81*s[3])/4 + (987*s[4])/4 + (6097*s[5])/24 + 
       (13777*s[6])/24 + (2140397*s[7])/432 - (225197*s[8])/648 - 
       (1362145*s[9])/324 - (944587*s[10])/648 - (2301773*s[11])/432 - 
       (1211855*s[12])/216 - (480307*s[13])/144 - (442649*s[14])/432 - 
       (333241*s[15])/48 - (205495*s[16])/24 - (3071479*s[17])/432 - 
       (432253*s[18])/486 - (1571633*s[19])/1944 - (19856437*s[20])/1944 - 
       (14782793*s[21])/3888 + (10066567*s[22])/3888 + (340087*s[23])/72 + 
       (10916537*s[24])/1944 - (28952443*s[25])/4374 + 
       (16661053*s[26])/4374 + (8*s[29])/3 - s[30]/2 + s[31]/3 - s[32]/3 - 
       (23*s[33])/24 + (13*s[34])/6 + (11*s[35])/3 - (31*s[36])/9 + 
       (31*s[37])/2 + (341*s[38])/3 - (6157*s[39])/12 + (21151*s[40])/36 - 
       (1875*s[41])/4 + (27449*s[42])/36 + (186437*s[43])/396 - 
       (194237*s[44])/396 + (25623*s[45])/44 - (440249*s[46])/99 + 
       (190771*s[47])/1188 + (19816*s[48])/297 - (2505673*s[49])/1188 + 
       (343925*s[50])/99 + (305323*s[51])/594 + (119660*s[52])/297 - 
       (2908783*s[53])/1188 + (28001*s[54])/198 - (172068*s[55])/11 - 
       (4876825*s[56])/1188 + (5609777*s[57])/1782 - (17948144*s[58])/2673 + 
       (18373457*s[59])/2673 + (130613345*s[60])/3564 - 
       (47834606*s[61])/24057 + s[65]/3 + (4*s[66])/3 - (10*s[67])/3 - 
       (10*s[68])/3 - (10*s[69])/3 - (10*s[70])/3 - s[71]/3 + (2*s[72])/3 + 
       (2*s[73])/3 - (3*s[74])/2 + (3*s[75])/2 - (8*s[76])/3 + (8*s[77])/3 + 
       (8*s[78])/3 + 72*s[79] - (67*s[80])/3 + 113*s[82] - s[83] + 26*s[84] + 
       12*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - w]*(s[2] + (77*s[3])/2 + (2317*s[4])/4 + 
       (7313*s[5])/22 + (46513*s[6])/44 + (7161223*s[7])/792 - 
       (304429*s[8])/396 - (269591*s[9])/36 - (85813*s[10])/36 - 
       (1321735*s[11])/132 - (365413*s[12])/33 - (2662639*s[13])/396 - 
       (129163*s[14])/132 - (847663*s[15])/72 - (12037889*s[16])/792 - 
       (4542929*s[17])/396 - (169553*s[18])/108 - (158491*s[19])/108 - 
       (5244997*s[20])/297 - (1232135*s[21])/198 + (5599945*s[22])/1188 + 
       (8090425*s[23])/792 + (23829083*s[24])/2376 - (91990939*s[25])/7128 + 
       (49220257*s[26])/7128 + s[27]/2 + s[28]/2 - s[29] + s[31] - s[32] - 
       (19*s[33])/2 - 6*s[35] - (103*s[36])/3 + (100*s[37])/3 + 
       (757*s[38])/2 - (5799*s[39])/4 + (19141*s[40])/12 - 1239*s[41] + 
       (24899*s[42])/12 + (169259*s[43])/132 - (176243*s[44])/132 + 
       (189703*s[45])/132 - (123843*s[46])/11 + (47845*s[47])/99 + 
       (84625*s[48])/396 - (2294683*s[49])/396 + (1120145*s[50])/132 + 
       (566651*s[51])/396 + (235231*s[52])/198 - (1552655*s[53])/264 + 
       (5135*s[54])/22 - (1638521*s[55])/44 - (3981761*s[56])/396 + 
       (13074353*s[57])/1188 - (63369913*s[58])/3564 + 
       (31869425*s[59])/1782 + (216387865*s[60])/2376 - 
       (158239123*s[61])/32076 + s[64]/2 + s[65]/2 - 2*s[66] + 4*s[67] + 
       9*s[68] + 7*s[69] - s[70] - 2*s[71] + 4*s[72] - 5*s[73] - 
       (15*s[74])/2 + (17*s[75])/2 - 10*s[76] + 10*s[77] + 17*s[78] + 
       88*s[79] - (43*s[80])/3 + 42*s[82] + 6*s[83] + 30*s[84] + 12*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*
      (-14*s[2] + (339*s[3])/4 + (4379*s[4])/8 + (3530*s[5])/11 + 
       (86173*s[6])/88 + (12749303*s[7])/1584 - (572525*s[8])/792 - 
       (238397*s[9])/36 - (74905*s[10])/36 - (4689013*s[11])/528 - 
       (1292659*s[12])/132 - (9363985*s[13])/1584 - (458077*s[14])/528 - 
       (1526273*s[15])/144 - (10816691*s[16])/792 - (16461557*s[17])/1584 - 
       (156995*s[18])/108 - (269333*s[19])/216 - (37504415*s[20])/2376 - 
       (995301*s[21])/176 + (19760935*s[22])/4752 + (7639711*s[23])/792 + 
       (20884823*s[24])/2376 - (81588173*s[25])/7128 + 
       (44341889*s[26])/7128 + s[28]/2 - 3*s[29] - 7*s[31] + (3*s[32])/2 - 
       11*s[33] + 8*s[34] - 5*s[35] - 21*s[36] + (83*s[37])/2 + 
       (525*s[38])/2 - (4427*s[39])/4 + (4883*s[40])/4 - (1899*s[41])/2 + 
       (6523*s[42])/4 + (42693*s[43])/44 - (89025*s[44])/88 + 
       (11288*s[45])/11 - (364897*s[46])/44 + (109465*s[47])/264 + 
       (18583*s[48])/264 - (1135333*s[49])/264 + (273431*s[50])/44 + 
       (289459*s[51])/264 + (240059*s[52])/264 - (192365*s[53])/44 + 
       (12891*s[54])/44 - (7236451*s[55])/264 - (1978103*s[56])/264 + 
       (1760597*s[57])/198 - (31695019*s[58])/2376 + (31987195*s[59])/2376 + 
       (105046471*s[60])/1584 - (77659039*s[61])/21384 + s[64]/2 + s[65]/2 - 
       2*s[66] + 4*s[67] + 9*s[68] + 7*s[69] - s[70] - s[71]/2 + 4*s[72] - 
       2*s[73] - 5*s[74] + 6*s[75] + 2*s[76] + 10*s[77] + 8*s[78] + 
       44*s[79] - 5*s[80] + 42*s[82] + 6*s[83] + 30*s[84] + 12*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Omega2[u, v, w]*
      ((-4*s[2])/3 + 11*s[3] + (22523*s[4])/24 + (148097*s[5])/264 + 
       (200071*s[6])/132 + (8204923*s[7])/594 - (1117054*s[8])/891 - 
       (3746531*s[9])/324 - (2192369*s[10])/648 - (9080131*s[11])/594 - 
       (20167387*s[12])/1188 - (4078237*s[13])/396 - (2593819*s[14])/2376 - 
       (324623*s[15])/18 - (2030375*s[16])/88 - (10223789*s[17])/594 - 
       (2341207*s[18])/972 - (508136*s[19])/243 - (284899049*s[20])/10692 - 
       (25173749*s[21])/2673 + (155031671*s[22])/21384 + 
       (6810923*s[23])/396 + (40004356*s[24])/2673 - (954359911*s[25])/
        48114 + (1013997863*s[26])/96228 - 4*s[29] + (5*s[30])/2 + 
       (5*s[31])/3 - (13*s[32])/3 - (131*s[33])/24 - (29*s[34])/6 - 
       (22*s[35])/3 - (391*s[36])/9 + 58*s[37] + (1631*s[38])/3 - 
       (25589*s[39])/12 + (84607*s[40])/36 - (7301*s[41])/4 + 
       (55681*s[42])/18 + (720149*s[43])/396 - (1508893*s[44])/792 + 
       (257515*s[45])/132 - (3120451*s[46])/198 + (1878659*s[47])/2376 + 
       (176189*s[48])/2376 - (19410683*s[49])/2376 + (1190690*s[50])/99 + 
       (5099047*s[51])/2376 + (4119679*s[52])/2376 - (2485354*s[53])/297 + 
       (47260*s[54])/99 - (41602169*s[55])/792 - (33115745*s[56])/2376 + 
       (14476999*s[57])/891 - (536748511*s[58])/21384 + 
       (544047547*s[59])/21384 + (1819417931*s[60])/14256 - 
       (324318637*s[61])/48114 - (2*s[65])/3 - (8*s[66])/3 + (16*s[67])/3 + 
       (16*s[68])/3 + (13*s[69])/3 + (4*s[70])/3 - (4*s[71])/3 + 
       (20*s[72])/3 - (28*s[73])/3 - (31*s[74])/3 + (31*s[75])/3 - 8*s[76] - 
       s[77]/3 + (28*s[78])/3 + 160*s[79] - (85*s[80])/3 - 44*s[82] + 
       2*s[83] + 84*s[84] + 12*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*((325*s[2])/36 + 
       (929*s[3])/24 + (153079*s[4])/144 + (109381*s[5])/264 + 
       (288869*s[6])/198 + (126930055*s[7])/9504 - (808685*s[8])/594 - 
       (4766789*s[9])/432 - (658175*s[10])/216 - (23694551*s[11])/1584 - 
       (17929873*s[12])/1056 - (98263685*s[13])/9504 - (721669*s[14])/3168 - 
       (14618549*s[15])/864 - (52661735*s[16])/2376 - (18687641*s[17])/1188 - 
       (3058613*s[18])/1296 - (1247807*s[19])/648 - (356623723*s[20])/14256 - 
       (81296893*s[21])/9504 + (199580081*s[22])/28512 + 
       (179201707*s[23])/9504 + (400719461*s[24])/28512 - 
       (188111597*s[25])/9504 + (10693993*s[26])/1056 - s[27]/2 - 
       (13*s[29])/3 + (43*s[30])/6 + (73*s[31])/9 + (3*s[32])/2 + 
       (41*s[33])/6 - (235*s[34])/18 - (193*s[35])/18 - (3667*s[36])/54 + 
       (5633*s[37])/108 + (1657*s[38])/3 - (55303*s[39])/24 + 
       (542707*s[40])/216 - (47029*s[41])/24 + (91516*s[42])/27 + 
       (4240169*s[43])/2376 - (1192151*s[44])/594 + (1084225*s[45])/594 - 
       (12489313*s[46])/792 + (866408*s[47])/891 - (372353*s[48])/1782 - 
       (59185915*s[49])/7128 + (7125893*s[50])/594 + (8321377*s[51])/3564 + 
       (13472375*s[52])/7128 - (9807961*s[53])/1188 + (180247*s[54])/396 - 
       (15224932*s[55])/297 - (98708009*s[56])/7128 + 
       (106876079*s[57])/5346 - (1673846899*s[58])/64152 + 
       (1682118763*s[59])/64152 + (2679422567*s[60])/21384 - 
       (7695087545*s[61])/1154736 + (2*s[62])/3 - (5*s[65])/3 - 
       (20*s[66])/3 + 9*s[67] + (86*s[68])/9 + (91*s[69])/9 - (10*s[70])/3 + 
       (5*s[71])/6 + 15*s[72] - (29*s[73])/3 - (625*s[74])/36 + 
       (625*s[75])/36 - (196*s[76])/9 + (7*s[77])/18 + (292*s[78])/9 + 
       (1480*s[79])/9 - (1075*s[80])/54 - (91*s[82])/6 + 5*s[83] + 88*s[84] + 
       (40*s[85])/3) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((55*s[2])/16 + (5647*s[3])/96 + 
       (261883*s[4])/576 + (314495*s[5])/3168 + (3840841*s[6])/6336 + 
       (506738549*s[7])/114048 - (92404403*s[8])/171072 - 
       (28210349*s[9])/7776 - (2704355*s[10])/3888 - (583165859*s[11])/
        114048 - (345687827*s[12])/57024 - (47799067*s[13])/12672 + 
       (29704327*s[14])/114048 - (17316001*s[15])/3456 - 
       (134296957*s[16])/19008 - (500832313*s[17])/114048 - 
       (10804397*s[18])/11664 - (16498057*s[19])/46656 - 
       (3993436609*s[20])/513216 - (2574896747*s[21])/1026432 + 
       (2378546779*s[22])/1026432 + (788170*s[23])/99 + 
       (537528257*s[24])/128304 - (16183004195*s[25])/2309472 + 
       (1955987537*s[26])/577368 - (7*s[29])/9 + (107*s[30])/24 + 
       (64*s[31])/9 - (10*s[32])/9 + (1469*s[33])/144 - (1007*s[34])/72 + 
       (67*s[35])/72 - (845*s[36])/54 + (7361*s[37])/144 + (5981*s[38])/36 - 
       (253453*s[39])/288 + (838607*s[40])/864 - (208601*s[41])/288 + 
       (1164445*s[42])/864 + (5001841*s[43])/9504 - (6721813*s[44])/9504 + 
       (1513183*s[45])/3168 - (23433677*s[46])/4752 + 
       (15255359*s[47])/28512 - (2486215*s[48])/7128 - 
       (68466425*s[49])/28512 + (16694027*s[50])/4752 + 
       (13913885*s[51])/14256 + (2886533*s[52])/3564 - 
       (16649231*s[53])/7128 + (4315273*s[54])/4752 - 
       (132163489*s[55])/9504 - (133409471*s[56])/28512 + 
       (119630359*s[57])/10692 - (304555193*s[58])/32076 + 
       (2262983977*s[59])/256608 + (1544604707*s[60])/42768 - 
       (9723142235*s[61])/4618944 - (7*s[65])/18 - (14*s[66])/9 + 
       (14*s[67])/9 + (32*s[68])/9 - (4*s[69])/9 - (85*s[70])/9 + 
       (193*s[71])/72 + (233*s[72])/36 + (17*s[73])/36 - (123*s[74])/16 + 
       (329*s[75])/48 - (1025*s[76])/36 + (559*s[77])/72 + (617*s[78])/36 + 
       (697*s[79])/6 - (2591*s[80])/72 + (165*s[82])/2 + (5*s[83])/12 + 
       (221*s[84])/3 + (41*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*
      HPL[{0, 1}, 1 - v]*((-7*s[2])/12 + (19*s[3])/2 + (43*s[4])/6 + 
       (2723*s[5])/132 + (11293*s[6])/264 + (1053893*s[7])/3168 - 
       (7157*s[8])/792 - (39785*s[9])/144 - (21667*s[10])/144 - 
       (44491*s[11])/132 - (108567*s[12])/352 - (16724*s[13])/99 - 
       (187601*s[14])/1056 - (158999*s[15])/288 - (255017*s[16])/396 - 
       (2066447*s[17])/3168 - (14489*s[18])/288 - (3049*s[19])/32 - 
       (2545519*s[20])/3168 - (2878199*s[21])/9504 + (1585841*s[22])/9504 + 
       (30851*s[23])/3168 + (4363727*s[24])/9504 - (16225243*s[25])/42768 + 
       (10742551*s[26])/42768 - (4*s[31])/3 - s[32]/4 - s[33] + (8*s[34])/3 + 
       (65*s[35])/24 + (14*s[36])/9 - (53*s[37])/12 - (61*s[38])/24 + 
       (343*s[39])/24 - (493*s[40])/72 + (37*s[41])/24 - (1057*s[42])/36 + 
       (18025*s[43])/792 - (64639*s[44])/3168 + (58229*s[45])/792 - 
       (90589*s[46])/264 - (405091*s[47])/9504 + (833927*s[48])/9504 - 
       (34984*s[49])/297 + (60487*s[50])/198 - (38747*s[51])/2376 - 
       (271889*s[52])/9504 - (175709*s[53])/792 - (28991*s[54])/528 - 
       (1680661*s[55])/1056 - (830461*s[56])/2376 - (5969723*s[57])/7128 - 
       (1240997*s[58])/5346 + (3029995*s[59])/10692 + 
       (99289153*s[60])/28512 - (74463595*s[61])/384912 - (7*s[68])/6 + 
       (7*s[69])/6 + s[74]/3 - s[75]/3 + (4*s[76])/3 - (7*s[77])/6 - 
       (4*s[78])/3 + (8*s[79])/3 - (28*s[80])/9 + 78*s[82] + 14*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^3*((161*s[2])/48 + (239*s[3])/96 + 
       (27179*s[4])/192 + (67889*s[5])/528 + (192439*s[6])/704 + 
       (103315573*s[7])/38016 - (12330211*s[8])/57024 - (2996645*s[9])/1296 - 
       (1952585*s[10])/2592 - (112231483*s[11])/38016 - 
       (15172303*s[12])/4752 - (7940545*s[13])/4224 - 
       (15778891*s[14])/38016 - (4231001*s[15])/1152 - 
       (14656495*s[16])/3168 - (139338125*s[17])/38016 - 
       (1846915*s[18])/3888 - (6846059*s[19])/15552 - 
       (943583363*s[20])/171072 - (671982613*s[21])/342144 + 
       (490691513*s[22])/342144 + (493607*s[23])/176 + 
       (256371119*s[24])/85536 - (5752393373*s[25])/1539648 + 
       (3147263345*s[26])/1539648 - s[28]/24 - (5*s[29])/4 + (3*s[30])/4 + 
       (3*s[31])/4 - (2*s[32])/3 + (325*s[33])/96 - (29*s[34])/6 + 
       (67*s[35])/24 - (29*s[36])/8 + (2587*s[37])/144 + (1645*s[38])/24 - 
       (5011*s[39])/16 + (17123*s[40])/48 - (1091*s[41])/4 + 
       (7299*s[42])/16 + (151399*s[43])/528 - (660991*s[44])/2112 + 
       (1308737*s[45])/3168 - (9413153*s[46])/3168 + (203959*s[47])/2112 + 
       (127883*s[48])/2112 - (959615*s[49])/704 + (205669*s[50])/88 + 
       (1922225*s[51])/6336 + (498169*s[52])/2112 - (1952279*s[53])/1188 - 
       (13265*s[54])/792 - (66731369*s[55])/6336 - (51247315*s[56])/19008 + 
       (45380333*s[57])/28512 - (743584859*s[58])/171072 + 
       (755285957*s[59])/171072 + (936675323*s[60])/38016 - 
       (2085025475*s[61])/1539648 + s[63]/6 - s[64]/12 - s[65]/3 - 
       (2*s[66])/3 + (11*s[67])/12 + (2*s[68])/3 + (2*s[69])/3 - 
       (3*s[70])/2 + (5*s[71])/6 + (17*s[72])/12 - (23*s[73])/12 - 
       (85*s[74])/48 + (25*s[75])/16 + (7*s[76])/6 + (83*s[77])/24 + 
       (35*s[78])/12 + (101*s[79])/3 - (1247*s[80])/72 + s[81]/72 + 
       (265*s[82])/2 + s[83] + 13*s[84] + 15*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((169*s[2])/36 + (143*s[3])/3 + (8663*s[4])/72 + (513*s[5])/11 + 
       (170123*s[6])/792 + (14233627*s[7])/9504 - (924167*s[8])/7128 - 
       (1505801*s[9])/1296 - (597697*s[10])/1296 - (3907171*s[11])/2376 - 
       (16729217*s[12])/9504 - (105073*s[13])/99 - (2396077*s[14])/9504 - 
       (1833889*s[15])/864 - (2138501*s[16])/792 - (21375149*s[17])/9504 - 
       (1487855*s[18])/7776 - (3025615*s[19])/7776 - (256086097*s[20])/
        85536 - (83993011*s[21])/85536 + (63150041*s[22])/85536 + 
       (4150871*s[23])/3168 + (164949359*s[24])/85536 - 
       (51640271*s[25])/24057 + (213310189*s[26])/192456 + (4*s[31])/9 + 
       (23*s[32])/12 - (7*s[33])/6 + (46*s[34])/9 + (16*s[35])/9 + 
       (112*s[36])/27 + (1189*s[37])/216 + (391*s[38])/24 - (661*s[39])/8 + 
       (22567*s[40])/216 - (569*s[41])/8 + (12577*s[42])/108 + 
       (196697*s[43])/2376 - (882377*s[44])/9504 + (264475*s[45])/2376 - 
       (209735*s[46])/264 + (379183*s[47])/28512 + (1560517*s[48])/28512 - 
       (2671159*s[49])/7128 + (335261*s[50])/594 + (212257*s[51])/3564 + 
       (1632029*s[52])/28512 - (118249*s[53])/264 + (96781*s[54])/528 - 
       (27245585*s[55])/9504 - (3084883*s[56])/3564 + (6439055*s[57])/21384 - 
       (9087824*s[58])/8019 + (18441337*s[59])/16038 + 
       (567679811*s[60])/85536 - (454125935*s[61])/1154736 + s[68]/18 - 
       s[69]/18 - 2*s[70] + s[71] + (2*s[74])/9 - (2*s[75])/9 - 
       (34*s[76])/9 + (13*s[77])/18 + (22*s[78])/9 + (136*s[79])/9 - 
       (386*s[80])/27 + (235*s[82])/3 + (46*s[85])/3) + 
     HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*((-245*s[2])/48 + 
       (1007*s[3])/32 - (151953*s[4])/64 - (134551*s[5])/99 - 
       (22833319*s[6])/6336 - (3922097315*s[7])/114048 + 
       (527923973*s[8])/171072 + (28137847*s[9])/972 + 
       (65131141*s[10])/7776 + (4349980061*s[11])/114048 + 
       (1210504459*s[12])/28512 + (326479027*s[13])/12672 + 
       (256947809*s[14])/114048 + (154939135*s[15])/3456 + 
       (272088337*s[16])/4752 + (4819131355*s[17])/114048 + 
       (17553197*s[18])/2916 + (239435173*s[19])/46656 + 
       (33993409225*s[20])/513216 + (24008297831*s[21])/1026432 - 
       (18624076507*s[22])/1026432 - (8688545*s[23])/198 - 
       (9473869507*s[24])/256608 + (228945235825*s[25])/4618944 - 
       (121253738077*s[26])/4618944 + (7*s[28])/4 + (49*s[29])/36 - 
       (119*s[30])/12 - (673*s[31])/36 + (35*s[32])/72 - (7585*s[33])/288 + 
       (1381*s[34])/36 + (1937*s[35])/72 + (23855*s[36])/216 - 
       (6157*s[37])/48 - (88105*s[38])/72 + (701347*s[39])/144 - 
       (2302735*s[40])/432 + (49883*s[41])/12 - (3051509*s[42])/432 - 
       (19355687*s[43])/4752 + (82815203*s[44])/19008 - 
       (4361207*s[45])/1056 + (330887167*s[46])/9504 - 
       (100986673*s[47])/57024 - (1752109*s[48])/57024 + 
       (1060870579*s[49])/57024 - (63320707*s[50])/2376 - 
       (272339909*s[51])/57024 - (222165311*s[52])/57024 + 
       (262189399*s[53])/14256 - (1713869*s[54])/2376 + 
       (730301837*s[55])/6336 + (1723242493*s[56])/57024 - 
       (3212429291*s[57])/85536 + (28586460305*s[58])/513216 - 
       (29084666987*s[59])/513216 - (96525522751*s[60])/342144 + 
       (66671351399*s[61])/4618944 - (9*s[63])/2 + s[64]/4 + (26*s[65])/9 + 
       (50*s[66])/9 - (239*s[67])/36 + (58*s[68])/9 - (251*s[69])/36 + 
       (569*s[70])/18 + (5*s[71])/18 - (881*s[72])/36 + (577*s[73])/36 + 
       (461*s[74])/16 - (435*s[75])/16 + (907*s[76])/18 - (2185*s[77])/72 - 
       (1571*s[78])/36 - (1252*s[79])/3 + (4403*s[80])/72 + (437*s[82])/2 - 
       (59*s[83])/12 - (566*s[84])/3 + (46*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      (5*s[2] + (64*s[3])/3 + (1543*s[4])/24 + (2479*s[5])/132 + 
       (4127*s[6])/44 + (779315*s[7])/1584 - (3429*s[8])/44 - 
       (8767*s[9])/24 - (137*s[10])/2 - (142441*s[11])/264 - 
       (317677*s[12])/528 - (569113*s[13])/1584 - (9367*s[14])/528 - 
       (102593*s[15])/144 - (84631*s[16])/99 - (269333*s[17])/396 - 
       (19343*s[18])/216 - (2407*s[19])/54 - (536071*s[20])/594 - 
       (1530703*s[21])/4752 + (366881*s[22])/1584 + (1578935*s[23])/1584 + 
       (271877*s[24])/528 - (32118655*s[25])/42768 + (17403313*s[26])/42768 + 
       s[32]/3 - (43*s[38])/6 - (1273*s[39])/24 + (1561*s[40])/24 - 
       (509*s[41])/8 + (1793*s[42])/24 + (8923*s[43])/264 - 
       (35411*s[44])/528 + (32095*s[45])/264 - (29919*s[46])/44 + 
       (76157*s[47])/1584 - (63565*s[48])/1584 - (233531*s[49])/1584 + 
       (5249*s[50])/11 + (62947*s[51])/1584 + (8377*s[52])/1584 - 
       (169489*s[53])/396 + (12031*s[54])/66 - (4731047*s[55])/1584 - 
       (526099*s[56])/528 + (137303*s[57])/396 - (4998911*s[58])/4752 + 
       (5704823*s[59])/4752 + (47141195*s[60])/9504 - (379430*s[61])/891 - 
       (4*s[68])/3 + (4*s[69])/3 - (4*s[77])/3 + 25*s[82] + 16*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      ((-8*s[2])/3 + 9*s[3] + (2171*s[4])/24 + (675*s[5])/11 + 
       (10739*s[6])/66 + (2203331*s[7])/1584 - (25981*s[8])/297 - 
       (254881*s[9])/216 - (45733*s[10])/108 - (1180405*s[11])/792 - 
       (2449075*s[12])/1584 - (496531*s[13])/528 - (532781*s[14])/1584 - 
       (284573*s[15])/144 - (640511*s[16])/264 - (1638809*s[17])/792 - 
       (16510*s[18])/81 - (186787*s[19])/648 - (10339355*s[20])/3564 - 
       (14731667*s[21])/14256 + (10366921*s[22])/14256 + (533953*s[23])/528 + 
       (23823871*s[24])/14256 - (240147173*s[25])/128304 + 
       (134999525*s[26])/128304 - (8*s[31])/3 + s[33] + (4*s[34])/3 - 
       (26*s[35])/3 + (106*s[36])/9 - (184*s[37])/9 + (41*s[38])/2 - 
       (375*s[39])/8 + (4255*s[40])/72 - (517*s[41])/8 + (2723*s[42])/72 + 
       (62477*s[43])/792 - (100933*s[44])/1584 + (151447*s[45])/792 - 
       (11227*s[46])/11 - (111601*s[47])/4752 + (504113*s[48])/4752 - 
       (1357547*s[49])/4752 + (74956*s[50])/99 + (344815*s[51])/4752 + 
       (184087*s[52])/4752 - (37993*s[53])/66 + (4291*s[54])/44 - 
       (6390163*s[55])/1584 - (5693305*s[56])/4752 - (180155*s[57])/891 - 
       (58628729*s[58])/42768 + (57530333*s[59])/42768 + 
       (247378799*s[60])/28512 - (26578297*s[61])/48114 - s[62] - 
       (4*s[68])/3 + (4*s[69])/3 - 3*s[71] + (2*s[74])/3 - (2*s[75])/3 + 
       (8*s[76])/3 - (4*s[77])/3 - (8*s[78])/3 + (40*s[79])/3 + 
       (31*s[80])/9 + 25*s[82] + 16*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      M1[w, v, u]*((5*s[2])/6 + (49*s[3])/4 + (275*s[4])/24 + 
       (1183*s[5])/44 + (12671*s[6])/264 + (763523*s[7])/1584 - 
       (52511*s[8])/2376 - (21829*s[9])/54 - (10913*s[10])/54 - 
       (780647*s[11])/1584 - (186235*s[12])/396 - (132163*s[13])/528 - 
       (296003*s[14])/1584 - (111965*s[15])/144 - (239357*s[16])/264 - 
       (1382521*s[17])/1584 - (24385*s[18])/324 - (82915*s[19])/648 - 
       (7950979*s[20])/7128 - (5757329*s[21])/14256 + (3490153*s[22])/14256 + 
       (42041*s[23])/264 + (4501181*s[24])/7128 - (37096927*s[25])/64152 + 
       (22695865*s[26])/64152 - (2*s[31])/3 - s[32]/2 - s[33]/2 + 
       (4*s[34])/3 + (4*s[35])/3 + (7*s[36])/9 - (40*s[37])/9 - s[38] - 
       s[39]/4 + (305*s[40])/36 - (39*s[41])/4 - (209*s[42])/36 + 
       (14107*s[43])/396 - (25613*s[44])/792 + (19315*s[45])/198 - 
       (22123*s[46])/44 - (87737*s[47])/2376 + (202597*s[48])/2376 - 
       (454165*s[49])/2376 + (44041*s[50])/99 - (6175*s[51])/2376 - 
       (49441*s[52])/2376 - (43079*s[53])/132 - (1637*s[54])/22 - 
       (1753145*s[55])/792 - (1093943*s[56])/2376 - (1555321*s[57])/1782 - 
       (8910307*s[58])/21384 + (10601245*s[59])/21384 + 
       (68953087*s[60])/14256 - (51573325*s[61])/192456 - (4*s[68])/3 + 
       (4*s[69])/3 + s[74]/6 - s[75]/6 + (2*s[76])/3 - (4*s[77])/3 - 
       (2*s[78])/3 + (4*s[79])/3 - (14*s[80])/9 + 88*s[82] + 16*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Ot[u, v, w]*(2*s[2] + (40*s[3])/3 + 
       (115*s[4])/24 + (2923*s[5])/132 + (981*s[6])/22 + (606899*s[7])/1584 - 
       (743*s[8])/198 - (23323*s[9])/72 - (3053*s[10])/18 - 
       (53671*s[11])/132 - (207575*s[12])/528 - (358909*s[13])/1584 - 
       (34489*s[14])/176 - (84377*s[15])/144 - (142163*s[16])/198 - 
       (543073*s[17])/792 - (12229*s[18])/216 - (11731*s[19])/108 - 
       (275074*s[20])/297 - (180875*s[21])/528 + (935395*s[22])/4752 - 
       (21823*s[23])/1584 + (2513419*s[24])/4752 - (6612791*s[25])/14256 + 
       (4221293*s[26])/14256 - (2*s[32])/3 - 4*s[37] + (17*s[38])/6 + 
       (191*s[39])/24 + s[40]/24 - (21*s[41])/8 - (787*s[42])/24 + 
       (8083*s[43])/264 - (17675*s[44])/528 + (24247*s[45])/264 - 
       (18547*s[46])/44 - (75211*s[47])/1584 + (173939*s[48])/1584 - 
       (281819*s[49])/1584 + (3892*s[50])/11 - (34325*s[51])/1584 - 
       (36383*s[52])/1584 - (96073*s[53])/396 - (4463*s[54])/66 - 
       (2895407*s[55])/1584 - (222187*s[56])/528 - (338449*s[57])/396 - 
       (1639391*s[58])/4752 + (1830287*s[59])/4752 + (40781123*s[60])/9504 - 
       (800893*s[61])/3564 - (4*s[68])/3 + (4*s[69])/3 - (4*s[77])/3 + 
       91*s[82] + 16*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Ot[u, v, w]*
      ((-8*s[2])/3 + 9*s[3] - (133*s[4])/24 + (751*s[5])/44 + 
       (1709*s[6])/66 + (238151*s[7])/1584 + (6973*s[8])/594 - 
       (27553*s[9])/216 - (3082*s[10])/27 - (52859*s[11])/396 - 
       (123793*s[12])/1584 - (12319*s[13])/528 - (331421*s[14])/1584 - 
       (43949*s[15])/144 - (91337*s[16])/264 - (177541*s[17])/396 - 
       (5333*s[18])/162 - (37165*s[19])/648 - (443657*s[20])/891 - 
       (3024563*s[21])/14256 + (1036165*s[22])/14256 - (136049*s[23])/528 + 
       (3645073*s[24])/14256 - (12019985*s[25])/128304 + 
       (15549605*s[26])/128304 - (8*s[31])/3 - 2*s[33] + (16*s[34])/3 + 
       (16*s[35])/3 + (28*s[36])/9 - (113*s[37])/18 - (21*s[38])/2 + 
       (397*s[39])/8 - (2933*s[40])/72 + (211*s[41])/8 - (6037*s[42])/72 - 
       (3559*s[43])/792 + (6947*s[44])/1584 + (40093*s[45])/792 - 
       (5699*s[46])/44 - (286573*s[47])/4752 + (478037*s[48])/4752 + 
       (22201*s[49])/4752 + (27959*s[50])/198 - (230597*s[51])/4752 - 
       (264425*s[52])/4752 - (13405*s[53])/132 - (2539*s[54])/44 - 
       (1402135*s[55])/1584 - (935125*s[56])/4752 - (1924801*s[57])/1782 + 
       (4456783*s[58])/42768 - (3350143*s[59])/42768 + 
       (52224551*s[60])/28512 - (21342085*s[61])/192456 - (4*s[68])/3 + 
       (4*s[69])/3 + (2*s[74])/3 - (2*s[75])/3 + (8*s[76])/3 - (4*s[77])/3 - 
       (8*s[78])/3 + (16*s[79])/3 - (56*s[80])/9 + 91*s[82] + 16*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w]*
      (9*s[2] + (40*s[3])/3 - (209*s[4])/24 + (3697*s[5])/132 + 
       (1543*s[6])/22 + (838667*s[7])/1584 + (653*s[8])/33 - 
       (10913*s[9])/24 - (1655*s[10])/6 - (71129*s[11])/132 - 
       (252595*s[12])/528 - (483193*s[13])/1584 - (203023*s[14])/528 - 
       (124793*s[15])/144 - (388297*s[16])/396 - (799237*s[17])/792 - 
       (7781*s[18])/216 - (21701*s[19])/108 - (816103*s[20])/594 - 
       (2406079*s[21])/4752 + (143911*s[22])/528 - (999343*s[23])/1584 + 
       (1309009*s[24])/1584 - (25456477*s[25])/42768 + 
       (18016879*s[26])/42768 - (2*s[32])/3 - 6*s[37] - (11*s[38])/3 + 
       (2255*s[39])/24 - (2063*s[40])/24 + (583*s[41])/8 - (4531*s[42])/24 + 
       (10111*s[43])/264 + (5245*s[44])/528 + (65623*s[45])/264 - 
       (36959*s[46])/44 - (267835*s[47])/1584 + (361475*s[48])/1584 - 
       (198419*s[49])/1584 + (13633*s[50])/22 - (244877*s[51])/1584 - 
       (72143*s[52])/1584 - (207439*s[53])/396 + (4705*s[54])/66 - 
       (6803447*s[55])/1584 - (188449*s[56])/176 - (1242911*s[57])/396 - 
       (236327*s[58])/528 + (844229*s[59])/1584 + (81025859*s[60])/9504 - 
       (1432210*s[61])/2673 - (4*s[68])/3 + (4*s[69])/3 - (4*s[77])/3 + 
       100*s[82] + 16*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - w]*((-8*s[2])/3 + 9*s[3] - (1249*s[4])/24 - 
       (329*s[5])/44 - (410*s[6])/33 - (950605*s[7])/1584 + 
       (10448*s[8])/297 + (118067*s[9])/216 + (6355*s[10])/54 + 
       (143333*s[11])/198 + (1362827*s[12])/1584 + (289865*s[13])/528 - 
       (308525*s[14])/1584 + (104335*s[15])/144 + (247429*s[16])/264 + 
       (46265*s[17])/99 + (4754*s[18])/81 + (83831*s[19])/648 + 
       (1821065*s[20])/1782 + (4559917*s[21])/14256 - (4948259*s[22])/14256 - 
       (515057*s[23])/528 - (9747935*s[24])/14256 + (128796859*s[25])/
        128304 - (58703383*s[26])/128304 + s[27] - (8*s[31])/3 - 5*s[33] + 
       (28*s[34])/3 + (16*s[35])/3 + (37*s[36])/9 - (221*s[37])/18 - 
       50*s[38] + (999*s[39])/8 - (8423*s[40])/72 + (717*s[41])/8 - 
       (12427*s[42])/72 - (60025*s[43])/792 + (89549*s[44])/1584 + 
       (3913*s[45])/792 + (2234*s[46])/11 - (363667*s[47])/4752 + 
       (271451*s[48])/4752 + (1466035*s[49])/4752 - (11225*s[50])/99 - 
       (576791*s[51])/4752 - (544703*s[52])/4752 + (199*s[53])/22 + 
       (2379*s[54])/44 - (271873*s[55])/1584 - (149551*s[56])/4752 - 
       (1790945*s[57])/891 + (33294961*s[58])/42768 - 
       (31784293*s[59])/42768 - (31499191*s[60])/28512 - 
       (653276*s[61])/24057 - (4*s[68])/3 + (4*s[69])/3 + 3*s[71] + 
       (2*s[74])/3 - (2*s[75])/3 + (8*s[76])/3 - (4*s[77])/3 - (8*s[78])/3 + 
       (16*s[79])/3 - (200*s[80])/9 + 100*s[82] + 16*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]^2*((-15*s[2])/2 + 12*s[3] - 
       (569*s[4])/4 - (46491*s[5])/176 - (77211*s[6])/176 - 
       (6261161*s[7])/1584 + (371003*s[8])/1584 + (499591*s[9])/144 + 
       (158123*s[10])/144 + (47435*s[11])/11 + (2422895*s[12])/528 + 
       (4335085*s[13])/1584 + (153665*s[14])/176 + (95587*s[15])/18 + 
       (2645695*s[16])/396 + (8399213*s[17])/1584 + (119779*s[18])/144 + 
       (34895*s[19])/72 + (820208*s[20])/99 + (7694761*s[21])/2376 - 
       (10025063*s[22])/4752 - (3010159*s[23])/792 - (5190365*s[24])/1188 + 
       (449300053*s[25])/85536 - (268575265*s[26])/85536 - 4*s[29] + 
       2*s[30] - 6*s[31] + (13*s[33])/8 + (11*s[34])/2 + (9*s[35])/2 + 
       (11*s[36])/3 - (187*s[37])/24 - (593*s[38])/4 + 569*s[39] - 
       (3697*s[40])/6 + (3801*s[41])/8 - (19397*s[42])/24 - 
       (27557*s[43])/66 + (122555*s[44])/264 - (73813*s[45])/176 + 
       (1892161*s[46])/528 - (50569*s[47])/198 + (55249*s[48])/396 + 
       (386227*s[49])/198 - (353119*s[50])/132 - (469127*s[51])/792 - 
       (392525*s[52])/792 + (2877671*s[53])/1584 - (42049*s[54])/264 + 
       (1512299*s[55])/132 + (2308285*s[56])/792 - (12165793*s[57])/2376 + 
       (86818297*s[58])/14256 - (43357871*s[59])/7128 - 
       (270191765*s[60])/9504 + (360132785*s[61])/256608 + s[62]/4 - s[65] - 
       4*s[66] + 6*s[67] + s[68] + 11*s[69] + 5*s[70] + s[71]/4 + 2*s[72] - 
       6*s[73] + (3*s[74])/2 - (3*s[75])/2 + 4*s[76] - 4*s[77] + 2*s[78] - 
       28*s[79] - s[80]/4 + 6*s[82] + 3*s[83] - 18*s[84] + 16*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]^2*(-3*s[2] + (119*s[3])/4 - 
       (1125*s[4])/8 - (4517*s[5])/22 - (30545*s[6])/88 - 
       (5683811*s[7])/1584 + (511141*s[8])/2376 + (339067*s[9])/108 + 
       (111599*s[10])/108 + (6269257*s[11])/1584 + (1689641*s[12])/396 + 
       (4080359*s[13])/1584 + (1039117*s[14])/1584 + (691261*s[15])/144 + 
       (2374961*s[16])/396 + (2438617*s[17])/528 + (213221*s[18])/324 + 
       (370889*s[19])/648 + (13161257*s[20])/1782 + (39944479*s[21])/14256 - 
       (27532415*s[22])/14256 - (1232497*s[23])/396 - (14738579*s[24])/3564 + 
       (313246103*s[25])/64152 - (180639401*s[26])/64152 - 4*s[29] + s[30] - 
       4*s[31] + (3*s[32])/2 - (13*s[33])/4 + 3*s[34] - 2*s[35] - 
       (41*s[36])/6 - (83*s[37])/4 - (289*s[38])/2 + (3701*s[39])/8 - 
       (11971*s[40])/24 + (3027*s[41])/8 - (14393*s[42])/24 - 
       (109577*s[43])/264 + (217201*s[44])/528 - (45119*s[45])/88 + 
       (489073*s[46])/132 - (203831*s[47])/1584 - (161393*s[48])/1584 + 
       (3098813*s[49])/1584 - (375271*s[50])/132 - (623473*s[51])/1584 - 
       (554671*s[52])/1584 + (186338*s[53])/99 + (1792*s[54])/33 + 
       (6546179*s[55])/528 + (4994975*s[56])/1584 - (3722057*s[57])/1188 + 
       (82714171*s[58])/14256 - (83098075*s[59])/14256 - 
       (298865969*s[60])/9504 + (100336439*s[61])/64152 - s[65] - 4*s[66] + 
       6*s[67] + s[68] + 11*s[69] + 2*s[70] + s[71] + 2*s[72] - 6*s[73] - 
       s[74] + s[75] + 4*s[76] - 5*s[77] + 8*s[78] - 40*s[79] + 
       (17*s[80])/2 + 6*s[82] + 3*s[83] - 18*s[84] + 16*s[85]) + 
     HPL[{0, 0, 1}, 1 - u]*Omega2[v, w, u]*((19*s[2])/2 - (143*s[3])/4 - 
       (713*s[4])/8 + (4459*s[5])/44 + (6513*s[6])/88 + (481189*s[7])/1584 + 
       (178741*s[8])/2376 - (43409*s[9])/108 - (13687*s[10])/108 - 
       (351101*s[11])/1584 - (50603*s[12])/792 - (4825*s[13])/1584 - 
       (1005839*s[14])/1584 - (73943*s[15])/144 - (47137*s[16])/99 - 
       (122123*s[17])/176 - (73525*s[18])/324 + (142121*s[19])/648 - 
       (8479099*s[20])/7128 - (10565009*s[21])/14256 + 
       (2791273*s[22])/14256 - (131705*s[23])/792 + (1097087*s[24])/7128 + 
       (2979809*s[25])/64152 + (22589497*s[26])/64152 + 4*s[29] - 2*s[30] + 
       4*s[31] + (7*s[33])/4 - 2*s[34] + s[35] + (25*s[36])/3 + 
       (23*s[37])/3 - 17*s[38] + 67*s[39] - (154*s[40])/3 + (99*s[41])/2 - 
       (1019*s[42])/12 - (2333*s[43])/33 + (22939*s[44])/264 + 
       (3977*s[45])/132 + (6915*s[46])/44 + (9595*s[47])/792 - 
       (47165*s[48])/792 + (369833*s[49])/792 - (14227*s[50])/66 - 
       (27895*s[51])/792 + (13265*s[52])/792 + (2551*s[53])/22 + 
       (3071*s[54])/11 + (34175*s[55])/88 - (265253*s[56])/792 + 
       (367333*s[57])/1188 - (425527*s[58])/7128 - (1125263*s[59])/7128 - 
       (9169373*s[60])/4752 - (5976847*s[61])/64152 + s[65] + 4*s[66] - 
       6*s[67] - 13*s[69] - s[71] - 2*s[72] + 4*s[73] + (3*s[74])/2 - 
       (3*s[75])/2 - s[76] + 5*s[77] - 10*s[78] + 36*s[79] - (29*s[80])/3 - 
       10*s[82] - 3*s[83] + 18*s[84] + 16*s[85]) + HPL[{0, 0, 1}, 1 - v]*
      Omega2[w, u, v]*(14*s[2] - (77*s[3])/4 - (503*s[4])/8 + 
       (8223*s[5])/88 + (1185*s[6])/11 + (879187*s[7])/1584 + 
       (12085*s[8])/198 - (42883*s[9])/72 - (13865*s[10])/72 - 
       (97419*s[11])/176 - (61027*s[12])/132 - (455705*s[13])/1584 - 
       (91871*s[14])/176 - (100783*s[15])/144 - (652741*s[16])/792 - 
       (1330795*s[17])/1584 - (5807*s[18])/24 + (8551*s[19])/72 - 
       (396437*s[20])/264 - (3668281*s[21])/4752 + (1524559*s[22])/4752 + 
       (15061*s[23])/396 + (545779*s[24])/1188 - (19068265*s[25])/42768 + 
       (21598201*s[26])/42768 + 3*s[29] - 2*s[30] + 10*s[31] + (33*s[33])/4 - 
       13*s[34] + 4*s[35] + (25*s[36])/2 + (41*s[37])/12 + 2*s[38] + 
       (131*s[39])/8 + (9*s[40])/8 + (31*s[41])/8 - (353*s[42])/8 + 
       (3907*s[43])/88 - (673*s[44])/176 + (38095*s[45])/264 - 
       (20378*s[46])/33 - (7123*s[47])/176 + (22863*s[48])/176 - 
       (7539*s[49])/176 + (4274*s[50])/11 - (8047*s[51])/528 + 
       (3313*s[52])/176 - (52895*s[53])/198 + (11387*s[54])/66 - 
       (1108901*s[55])/528 - (1330325*s[56])/1584 - (338527*s[57])/1188 - 
       (11721997*s[58])/14256 + (8871769*s[59])/14256 + 
       (16536709*s[60])/3168 - (25396541*s[61])/64152 + s[65] + 4*s[66] - 
       6*s[67] - s[68] - 11*s[69] + 2*s[70] - s[71] - 2*s[72] + 6*s[73] + 
       (5*s[74])/2 - (5*s[75])/2 - 7*s[76] + 3*s[77] - 8*s[78] + 18*s[79] - 
       (25*s[80])/6 - 10*s[82] - 3*s[83] + 18*s[84] + 16*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*M1[u, v, w]*(3*s[2] + 9*s[3] + 
       (465*s[4])/2 + (14675*s[5])/88 + (18555*s[6])/44 + 
       (6076985*s[7])/1584 - (59881*s[8])/198 - (233519*s[9])/72 - 
       (74125*s[10])/72 - (185401*s[11])/44 - (2424227*s[12])/528 - 
       (4370635*s[13])/1584 - (85611*s[14])/176 - (736883*s[15])/144 - 
       (1283981*s[16])/198 - (992575*s[17])/198 - (12557*s[18])/18 - 
       (42095*s[19])/72 - (6053425*s[20])/792 - (13186439*s[21])/4752 + 
       (9591137*s[22])/4752 + (6913703*s[23])/1584 + (20016449*s[24])/4752 - 
       (229015823*s[25])/42768 + (126122729*s[26])/42768 + s[30]/2 + s[31] + 
       (7*s[33])/8 - (3*s[34])/2 - s[35]/3 - (32*s[36])/3 + (9*s[37])/2 + 
       140*s[38] - (13027*s[39])/24 + (14579*s[40])/24 - (11657*s[41])/24 + 
       (18619*s[42])/24 + (132601*s[43])/264 - (269639*s[44])/528 + 
       (142489*s[45])/264 - (187915*s[46])/44 + (239165*s[47])/1584 + 
       (165047*s[48])/1584 - (3574349*s[49])/1584 + (109097*s[50])/33 + 
       (826057*s[51])/1584 + (675025*s[52])/1584 - (75392*s[53])/33 + 
       (1277*s[54])/132 - (7616329*s[55])/528 - (5860579*s[56])/1584 + 
       (1081942*s[57])/297 - (93602963*s[58])/14256 + 
       (95919311*s[59])/14256 + (334570133*s[60])/9504 - 
       (115863763*s[61])/64152 - s[68] + s[69] - s[71] + 2*s[72] - 
       (13*s[74])/6 + (13*s[75])/6 - (10*s[76])/3 - (4*s[77])/3 + 2*s[78] + 
       44*s[79] - 3*s[80] - 7*s[82] + 24*s[84] + 16*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      ((21*s[2])/4 - (193*s[3])/8 + (5911*s[4])/16 + (1721*s[5])/66 + 
       (309127*s[6])/528 + (31867751*s[7])/9504 - (3239765*s[8])/14256 - 
       (458411*s[9])/162 - (181159*s[10])/648 - (40869437*s[11])/9504 - 
       (1628993*s[12])/297 - (4175951*s[13])/1056 + (5163955*s[14])/9504 - 
       (749731*s[15])/288 - (1819777*s[16])/396 - (12787963*s[17])/9504 - 
       (157841*s[18])/243 - (612337*s[19])/3888 - (219373153*s[20])/42768 - 
       (147938459*s[21])/85536 + (158391535*s[22])/85536 + 
       (1668037*s[23])/264 + (9157502*s[24])/2673 - (2308829791*s[25])/
        384912 + (1088044267*s[26])/384912 + s[28]/2 + (53*s[29])/3 - 
       4*s[30] + (61*s[31])/3 + (14*s[32])/3 - (227*s[33])/24 + 
       (17*s[34])/3 - (251*s[35])/6 + (427*s[36])/18 - (121*s[37])/12 + 
       (2341*s[38])/6 - (6173*s[39])/6 + (10963*s[40])/9 - (3683*s[41])/4 + 
       (24019*s[42])/18 + (208669*s[43])/198 - (1547993*s[44])/1584 + 
       (160393*s[45])/264 - (4555981*s[46])/792 + (849379*s[47])/4752 + 
       (3149611*s[48])/4752 - (19242529*s[49])/4752 + (766621*s[50])/198 + 
       (4788323*s[51])/4752 + (4717481*s[52])/4752 - (618997*s[53])/297 + 
       (66652*s[54])/99 - (7305751*s[55])/528 - (23356519*s[56])/4752 + 
       (88615757*s[57])/7128 - (469224275*s[58])/42768 + 
       (432887657*s[59])/42768 + (1370603857*s[60])/28512 - 
       (805012601*s[61])/384912 + 2*s[63] + (10*s[65])/3 + (28*s[66])/3 - 
       (37*s[67])/3 + (8*s[68])/3 - (76*s[69])/3 + (80*s[70])/3 - 
       (25*s[71])/3 - (37*s[72])/3 + (71*s[73])/3 + (31*s[74])/4 - 
       (25*s[75])/4 - (62*s[76])/3 - (107*s[77])/6 - (91*s[78])/3 + 
       160*s[79] - (29*s[80])/2 - s[81]/6 - 464*s[82] - (23*s[83])/2 + 
       77*s[84] + 16*s[85]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((5*s[2])/36 + (145*s[3])/12 + (469*s[4])/72 + 
       (9901*s[5])/264 + (178801*s[6])/3168 + (4990847*s[7])/9504 - 
       (493129*s[8])/28512 - (1159799*s[9])/2592 - (297767*s[10])/1296 - 
       (9980659*s[11])/19008 - (9036173*s[12])/19008 - (199319*s[13])/792 - 
       (312577*s[14])/1188 - (769307*s[15])/864 - (397291*s[16])/396 - 
       (19519499*s[17])/19008 - (623221*s[18])/7776 - (1117373*s[19])/7776 - 
       (13475095*s[20])/10692 - (5086231*s[21])/10692 + 
       (22767055*s[22])/85536 + (38801*s[23])/704 + (119762315*s[24])/
        171072 - (917308747*s[25])/1539648 + (604759591*s[26])/1539648 - 
       (10*s[31])/9 - (5*s[32])/12 - (5*s[33])/6 + (20*s[34])/9 + 
       (5*s[35])/3 + (91*s[36])/54 - (641*s[37])/108 - (31*s[38])/12 + 
       (131*s[39])/12 - (239*s[40])/108 - (3*s[41])/4 - (10345*s[42])/432 + 
       (10454*s[43])/297 - (72121*s[44])/2376 + (135595*s[45])/1188 - 
       (71557*s[46])/132 - (652973*s[47])/14256 + (349717*s[48])/3564 - 
       (2609557*s[49])/14256 + (564695*s[50])/1188 - (98029*s[51])/14256 - 
       (60323*s[52])/1782 - (289691*s[53])/792 - (18571*s[54])/264 - 
       (6051439*s[55])/2376 - (7601393*s[56])/14256 - 
       (51640639*s[57])/42768 - (49993975*s[58])/128304 + 
       (16204543*s[59])/32076 + (227495669*s[60])/42768 - 
       (42384389*s[61])/144342 - (25*s[68])/18 + (25*s[69])/18 + 
       (5*s[74])/18 - (5*s[75])/18 + (10*s[76])/9 - (25*s[77])/18 - 
       (10*s[78])/9 + (20*s[79])/9 - (70*s[80])/27 + (1109*s[82])/12 + 
       (50*s[85])/3) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*(11*s[2] - (121*s[3])/48 - (10143*s[4])/32 - 
       (3525*s[5])/352 - (26717*s[6])/132 - (49321885*s[7])/19008 + 
       (5331397*s[8])/14256 + (5397979*s[9])/2592 + (1115429*s[10])/2592 + 
       (57329543*s[11])/19008 + (4334467*s[12])/1188 + 
       (43245541*s[13])/19008 - (11521747*s[14])/19008 + 
       (5385329*s[15])/1728 + (39935651*s[16])/9504 + (5281271*s[17])/2112 + 
       (570791*s[18])/1944 + (252163*s[19])/486 + (45560753*s[20])/10692 + 
       (203123483*s[21])/171072 - (233802157*s[22])/171072 - 
       (44612677*s[23])/9504 - (116582857*s[24])/42768 + 
       (6653791433*s[25])/1539648 - (2916642989*s[26])/1539648 + 
       (14*s[29])/3 - (53*s[30])/12 + (7*s[31])/2 + (35*s[32])/24 + 
       (25*s[33])/12 - (5*s[34])/12 + (37*s[35])/12 + (289*s[36])/12 - 
       (4177*s[37])/144 - (3293*s[38])/24 + (3671*s[39])/6 - (2651*s[40])/4 + 
       (8203*s[41])/16 - (14653*s[42])/16 - (57271*s[43])/132 + 
       (1129069*s[44])/2112 - (904889*s[45])/3168 + (10475699*s[46])/3168 - 
       (1840919*s[47])/6336 + (1101361*s[48])/6336 + (13386965*s[49])/6336 - 
       (28258*s[50])/11 - (3797663*s[51])/6336 - (2955061*s[52])/6336 + 
       (16238947*s[53])/9504 + (24103*s[54])/396 + (21684977*s[55])/2112 + 
       (47862493*s[56])/19008 - (167477351*s[57])/28512 + 
       (999161579*s[58])/171072 - (1026058331*s[59])/171072 - 
       (996206977*s[60])/38016 + (900565117*s[61])/769824 + (11*s[65])/12 + 
       (19*s[66])/6 - 5*s[67] - (13*s[68])/6 - (25*s[69])/3 + (5*s[70])/2 - 
       (11*s[71])/8 - (31*s[72])/6 + (49*s[73])/6 + (119*s[74])/24 - 
       (113*s[75])/24 - s[76] + (49*s[77])/12 - (21*s[78])/2 - 
       (359*s[79])/6 + (1139*s[80])/72 - 18*s[82] + (7*s[83])/4 - 
       (21*s[84])/2 + 18*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - w]*((143*s[2])/24 + (91*s[3])/16 - (457*s[4])/96 + 
       (61291*s[5])/528 + (48069*s[6])/352 + (8746469*s[7])/6336 - 
       (334985*s[8])/9504 - (529991*s[9])/432 - (240895*s[10])/432 - 
       (9004949*s[11])/6336 - (1046729*s[12])/792 - (1595797*s[13])/2112 - 
       (3731069*s[14])/6336 - (425329*s[15])/192 - (892889*s[16])/352 - 
       (15699763*s[17])/6336 - (134201*s[18])/648 - (855997*s[19])/2592 - 
       (91332613*s[20])/28512 - (72091235*s[21])/57024 + 
       (41606575*s[22])/57024 + (110351*s[23])/352 + (50842559*s[24])/28512 - 
       (414546613*s[25])/256608 + (270784177*s[26])/256608 + (3*s[29])/2 - 
       s[30] + (11*s[31])/6 + (7*s[33])/2 - (11*s[34])/12 + (19*s[35])/12 + 
       (145*s[36])/36 + (347*s[37])/72 + (265*s[38])/12 - (451*s[39])/8 + 
       (4759*s[40])/72 - (171*s[41])/4 + (3995*s[42])/72 + 
       (94535*s[43])/792 - (80603*s[44])/792 + (343769*s[45])/1584 - 
       (629891*s[46])/528 - (12709*s[47])/297 + (156899*s[48])/1188 - 
       (685703*s[49])/1188 + (795071*s[50])/792 + (8575*s[51])/297 - 
       (16997*s[52])/1188 - (1195235*s[53])/1584 - (6922*s[54])/33 - 
       (7983617*s[55])/1584 - (2335835*s[56])/2376 - (9012715*s[57])/7128 - 
       (12802037*s[58])/10692 + (62124347*s[59])/42768 + 
       (320893277*s[60])/28512 - (404067121*s[61])/769824 + s[65]/4 + 
       (3*s[66])/4 - (3*s[67])/2 - (19*s[68])/12 - (17*s[69])/12 + s[70]/2 - 
       s[71]/4 - s[72]/2 + (3*s[73])/2 + (19*s[74])/24 - (19*s[75])/24 - 
       (7*s[76])/3 + (5*s[77])/12 - (8*s[78])/3 + (16*s[79])/3 + 
       (115*s[80])/36 + (265*s[82])/2 - (3*s[83])/4 + (3*s[84])/2 + 
       18*s[85]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((197*s[2])/144 + (1013*s[3])/96 + (59117*s[4])/64 + 
       (765905*s[5])/1584 + (8885221*s[6])/6336 + (1487553241*s[7])/114048 - 
       (207991435*s[8])/171072 - (42308753*s[9])/3888 - 
       (24928073*s[10])/7776 - (1652858593*s[11])/114048 - 
       (922240177*s[12])/57024 - (372549971*s[13])/38016 - 
       (90131059*s[14])/114048 - (58371481*s[15])/3456 - (1915509*s[16])/88 - 
       (1833066623*s[17])/114048 - (52122533*s[18])/23328 - 
       (96187403*s[19])/46656 - (12793320053*s[20])/513216 - 
       (8900945377*s[21])/1026432 + (7026620825*s[22])/1026432 + 
       (312064787*s[23])/19008 + (7278546283*s[24])/513216 - 
       (87363524315*s[25])/4618944 + (45658441703*s[26])/4618944 - 4*s[29] + 
       (77*s[30])/24 + (14*s[31])/9 - (7*s[32])/9 - (1009*s[33])/144 - 
       (173*s[34])/72 - (695*s[35])/72 - (1099*s[36])/27 + (2659*s[37])/48 + 
       (18433*s[38])/36 - (589133*s[39])/288 + (1942415*s[40])/864 - 
       (505897*s[41])/288 + (642157*s[42])/216 + (16494553*s[43])/9504 - 
       (34911941*s[44])/19008 + (5704667*s[45])/3168 - 
       (70988723*s[46])/4752 + (42798367*s[47])/57024 + 
       (5170513*s[48])/57024 - (449338603*s[49])/57024 + 
       (54383459*s[50])/4752 + (117060719*s[51])/57024 + 
       (93521411*s[52])/57024 - (225457307*s[53])/28512 + 
       (814289*s[54])/2376 - (104294381*s[55])/2112 - 
       (742483813*s[56])/57024 + (1343726807*s[57])/85536 - 
       (12194753633*s[58])/513216 + (12339006407*s[59])/513216 + 
       (41446274527*s[60])/342144 - (29190749075*s[61])/4618944 - 
       (29*s[65])/36 - (29*s[66])/9 + (101*s[67])/18 + (34*s[68])/9 + 
       (49*s[69])/9 + (29*s[70])/18 + s[71]/72 + (287*s[72])/36 - 
       (289*s[73])/36 - (1489*s[74])/144 + (1489*s[75])/144 - (91*s[76])/12 - 
       (71*s[77])/72 + (433*s[78])/36 + (959*s[79])/6 - (2855*s[80])/72 + 
       (277*s[82])/6 + (29*s[83])/12 + 76*s[84] + (55*s[85])/3) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      ((203*s[2])/144 + (3745*s[3])/288 + (9389*s[4])/64 + 
       (348479*s[5])/3168 + (197039*s[6])/704 + (94854139*s[7])/38016 - 
       (3803599*s[8])/19008 - (906875*s[9])/432 - (18622*s[10])/27 - 
       (11494831*s[11])/4224 - (9334231*s[12])/3168 - 
       (66652601*s[13])/38016 - (1628291*s[14])/4224 - 
       (11650709*s[15])/3456 - (80877847*s[16])/19008 - 
       (127707109*s[17])/38016 - (594467*s[18])/1296 - (2003947*s[19])/5184 - 
       (287625649*s[20])/57024 - (7704421*s[21])/4224 + 
       (148869827*s[22])/114048 + (51508415*s[23])/19008 + 
       (157341847*s[24])/57024 - (589107361*s[25])/171072 + 
       (326907931*s[26])/171072 + (5*s[30])/12 + (11*s[31])/36 - 
       (17*s[32])/72 + (13*s[33])/96 + (2*s[34])/9 - (17*s[35])/72 - 
       (469*s[36])/108 + (857*s[37])/216 + (881*s[38])/12 - 
       (43729*s[39])/144 + (149299*s[40])/432 - (39767*s[41])/144 + 
       (93817*s[42])/216 + (1369151*s[43])/4752 - (724051*s[44])/2376 + 
       (3610961*s[45])/9504 - (8794307*s[46])/3168 + (2263157*s[47])/28512 + 
       (1245049*s[48])/14256 - (37824035*s[49])/28512 + 
       (10257539*s[50])/4752 + (8544703*s[51])/28512 + (834479*s[52])/3564 - 
       (14368763*s[53])/9504 + (38945*s[54])/1584 - (10279439*s[55])/1056 - 
       (72345337*s[56])/28512 + (141277759*s[57])/85536 - 
       (131903605*s[58])/32076 + (134503579*s[59])/32076 + 
       (3952390115*s[60])/171072 - (1451374207*s[61])/1154736 - 
       (5*s[68])/18 + (5*s[69])/18 - s[71]/4 + (5*s[72])/4 + s[73]/12 - 
       (185*s[74])/144 + (185*s[75])/144 - (11*s[76])/9 - (53*s[77])/72 + 
       (41*s[78])/36 + (529*s[79])/18 - (347*s[80])/54 + (1063*s[82])/12 + 
       13*s[84] + (58*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 1}, 1 - u]*(-s[1]/6 - (5*s[2])/12 + (335*s[3])/24 + 
       (683*s[4])/48 + (3563*s[5])/132 + (21303*s[6])/352 + 
       (517829*s[7])/1056 - (52183*s[8])/3168 - (117869*s[9])/288 - 
       (14797*s[10])/72 - (351247*s[11])/704 - (1013411*s[12])/2112 - 
       (264395*s[13])/1056 - (5799*s[14])/22 - (217643*s[15])/288 - 
       (160275*s[16])/176 - (610837*s[17])/704 - (48809*s[18])/432 - 
       (9487*s[19])/108 - (11373737*s[20])/9504 - (1089707*s[21])/2376 + 
       (2352661*s[22])/9504 + (177373*s[23])/2112 + (11768033*s[24])/19008 - 
       (94003231*s[25])/171072 + (64621003*s[26])/171072 - (5*s[31])/3 - 
       (5*s[32])/12 - (5*s[33])/4 + (10*s[34])/3 + (10*s[35])/3 + 
       (35*s[36])/18 - (299*s[37])/72 - (161*s[38])/24 + (469*s[39])/24 - 
       (647*s[40])/72 - (215*s[41])/24 - (4319*s[42])/144 + 
       (27497*s[43])/792 - (87653*s[44])/3168 + (9464*s[45])/99 - 
       (65567*s[46])/132 - (447635*s[47])/9504 + (1138609*s[48])/9504 - 
       (711869*s[49])/4752 + (167329*s[50])/396 - (16535*s[51])/4752 - 
       (248299*s[52])/9504 - (237071*s[53])/792 - (12847*s[54])/528 - 
       (751741*s[55])/352 - (2526427*s[56])/4752 - (14227847*s[57])/14256 - 
       (16985237*s[58])/42768 + (8801899*s[59])/21384 + 
       (137694323*s[60])/28512 - (27761279*s[61])/96228 - (5*s[68])/3 + 
       (5*s[69])/3 + (5*s[74])/12 - (5*s[75])/12 + (5*s[76])/3 - 
       (5*s[77])/3 - (5*s[78])/3 + (10*s[79])/3 - (35*s[80])/9 + 
       (385*s[82])/4 + 20*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      M1[v, u, w]*(s[2]/6 + (29*s[3])/2 + (221*s[4])/12 + (541*s[5])/22 + 
       (4123*s[6])/66 + (419009*s[7])/792 - (16087*s[8])/594 - 
       (23555*s[9])/54 - (23567*s[10])/108 - (217039*s[11])/396 - 
       (421567*s[12])/792 - (25587*s[13])/88 - (156425*s[14])/792 - 
       (59987*s[15])/72 - (21943*s[16])/22 - (373169*s[17])/396 - 
       (13663*s[18])/162 - (44509*s[19])/324 - (2149901*s[20])/1782 - 
       (3125201*s[21])/7128 + (1903171*s[22])/7128 + (55487*s[23])/264 + 
       (4931335*s[24])/7128 - (41636213*s[25])/64152 + 
       (25386929*s[26])/64152 - (4*s[31])/3 - s[32]/2 - s[33] + (8*s[34])/3 + 
       (8*s[35])/3 + (14*s[36])/9 - (35*s[37])/9 - 3*s[38] + 2*s[39] + 
       (76*s[40])/9 - (23*s[41])/2 - (173*s[42])/18 + (3926*s[43])/99 - 
       (7501*s[44])/198 + (21233*s[45])/198 - (12295*s[46])/22 - 
       (55697*s[47])/1188 + (128311*s[48])/1188 - (247741*s[49])/1188 + 
       (48365*s[50])/99 - (7507*s[51])/1188 - (15293*s[52])/594 - 
       (23299*s[53])/66 - (1799*s[54])/22 - (958565*s[55])/396 - 
       (639479*s[56])/1188 - (789682*s[57])/891 - (5289445*s[58])/10692 + 
       (6018751*s[59])/10692 + (38112193*s[60])/7128 - 
       (29414587*s[61])/96228 - (5*s[68])/3 + (5*s[69])/3 + s[74]/3 - 
       s[75]/3 + (4*s[76])/3 - (5*s[77])/3 - (4*s[78])/3 + (8*s[79])/3 - 
       (28*s[80])/9 + 107*s[82] + 20*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*((-227*s[2])/12 - 
       (787*s[3])/12 - (18919*s[4])/24 - (90515*s[5])/132 - 
       (417559*s[6])/264 - (136000921*s[7])/9504 + (17365891*s[8])/14256 + 
       (15420395*s[9])/1296 + (5146729*s[10])/1296 + (149169157*s[11])/9504 + 
       (81201895*s[12])/4752 + (32031911*s[13])/3168 + 
       (17346529*s[14])/9504 + (5524729*s[15])/288 + (4299931*s[16])/176 + 
       (182453033*s[17])/9504 + (10064521*s[18])/3888 + (2324705*s[19])/972 + 
       (608412451*s[20])/21384 + (881773621*s[21])/85536 - 
       (634839797*s[22])/85536 - (25237547*s[23])/1584 - 
       (338813495*s[24])/21384 + (961590643*s[25])/48114 - 
       (527791507*s[26])/48114 + (5*s[28])/3 + 10*s[29] - (25*s[30])/3 + 
       s[31]/3 - (17*s[32])/3 + (73*s[33])/12 + (23*s[34])/6 + (27*s[35])/2 + 
       (719*s[36])/18 - (953*s[37])/18 - (1238*s[38])/3 + (21475*s[39])/12 - 
       (67999*s[40])/36 + (11561*s[41])/8 - (183475*s[42])/72 - 
       (53377*s[43])/36 + (238237*s[44])/144 - (14594*s[45])/9 + 
       (80843*s[46])/6 - (253205*s[47])/432 - (56201*s[48])/432 + 
       (195194*s[49])/27 - (93301*s[50])/9 - (86315*s[51])/54 - 
       (555589*s[52])/432 + (65906*s[53])/9 - (579*s[54])/8 + 
       (6543385*s[55])/144 + (2488877*s[56])/216 - (7238861*s[57])/648 + 
       (19879427*s[58])/972 - (20497529*s[59])/972 - (141286429*s[60])/1296 + 
       (205000205*s[61])/34992 - (28*s[63])/3 + (14*s[65])/3 + (32*s[66])/3 - 
       16*s[67] - (40*s[68])/3 - 22*s[69] + (119*s[70])/3 - (13*s[71])/2 - 
       (47*s[72])/3 + (17*s[73])/3 + (55*s[74])/4 - (47*s[75])/4 + 4*s[76] - 
       (301*s[77])/6 - (91*s[78])/3 - (26*s[79])/3 + (268*s[80])/9 - 
       83*s[82] - (59*s[83])/4 + (25*s[84])/2 + 20*s[85]) + 
     HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((-11*s[2])/4 - (817*s[3])/8 + (5573*s[4])/16 + (1771*s[5])/8 + 
       (9831*s[6])/16 + (1738003*s[7])/288 - (29185*s[8])/48 - 5150*s[9] - 
       (17375*s[10])/12 - (642847*s[11])/96 - (60933*s[12])/8 - 
       (1294427*s[13])/288 - (57583*s[14])/96 - (2109959*s[15])/288 - 
       (709337*s[16])/72 - (1999795*s[17])/288 - (34589*s[18])/27 - 
       (219037*s[19])/432 - (5099231*s[20])/432 - (3689333*s[21])/864 + 
       (937247*s[22])/288 + (292343*s[23])/36 + (144403*s[24])/24 - 
       (32981449*s[25])/3888 + (17945293*s[26])/3888 - 10*s[29] + 
       (5*s[30])/2 - 4*s[31] + 4*s[32] - (13*s[33])/2 - (7*s[34])/2 - 
       (25*s[35])/2 - (109*s[36])/3 + (165*s[37])/4 + (487*s[38])/2 - 
       (2191*s[39])/2 + (3691*s[40])/3 - (3785*s[41])/4 + (9853*s[42])/6 + 
       (50917*s[43])/66 - (496037*s[44])/528 + (64673*s[45])/88 - 
       (1858837*s[46])/264 + (842023*s[47])/1584 - (250673*s[48])/1584 - 
       (5802925*s[49])/1584 + (352777*s[50])/66 + (1836023*s[51])/1584 + 
       (1511189*s[52])/1584 - (1389901*s[53])/396 + (12304*s[54])/33 - 
       (11418221*s[55])/528 - (9956659*s[56])/1584 + (27020255*s[57])/2376 - 
       (174469103*s[58])/14256 + (170551169*s[59])/14256 + 
       (523189549*s[60])/9504 - (380289959*s[61])/128304 - 4*s[64] - 
       3*s[65] - 4*s[66] + 13*s[67] + 10*s[68] + 21*s[69] + 2*s[70] + 
       3*s[71] + 13*s[72] - 13*s[73] - (39*s[74])/4 + (39*s[75])/4 - 
       3*s[76] - (13*s[77])/2 - 27*s[78] + 152*s[79] - (129*s[80])/2 - 
       14*s[82] + 18*s[84] + 20*s[85]) + HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u]*((-43*s[2])/4 + (737*s[3])/8 - (649*s[4])/16 - 
       (27565*s[5])/88 - (58737*s[6])/176 - (12263401*s[7])/3168 + 
       (425695*s[8])/4752 + (387203*s[9])/108 + (141061*s[10])/108 + 
       (12867703*s[11])/3168 + (3114827*s[12])/792 + (845201*s[13])/352 + 
       (3878911*s[14])/3168 + (569165*s[15])/96 + (1784797*s[16])/264 + 
       (19485593*s[17])/3168 + (170323*s[18])/324 + (938783*s[19])/1296 + 
       (120605435*s[20])/14256 + (97942525*s[21])/28512 - 
       (62007437*s[22])/28512 - (99717*s[23])/44 - (33281135*s[24])/7128 + 
       (603500339*s[25])/128304 - (381738611*s[26])/128304 - 6*s[29] - 
       (3*s[30])/2 - 16*s[31] - (13*s[33])/4 + (55*s[34])/2 - (11*s[35])/2 + 
       (151*s[36])/6 - (515*s[37])/12 - (221*s[38])/2 + (1607*s[39])/4 - 
       (5327*s[40])/12 + 351*s[41] - (7081*s[42])/12 - (50371*s[43])/132 + 
       (209191*s[44])/528 - (54961*s[45])/264 + (213583*s[46])/88 - 
       (118577*s[47])/1584 - (13373*s[48])/1584 + (2708675*s[49])/1584 - 
       (136787*s[50])/66 - (527845*s[51])/1584 - (378907*s[52])/1584 + 
       (62303*s[53])/44 + (6745*s[54])/22 + (1540669*s[55])/176 + 
       (2616373*s[56])/1584 - (5894879*s[57])/2376 + (52155617*s[58])/14256 - 
       (61403459*s[59])/14256 - (202694243*s[60])/9504 + 
       (79586939*s[61])/128304 - 28*s[63] - 4*s[64] + 6*s[66] - s[67] + 
       22*s[68] + 3*s[69] + 8*s[70] - s[72] + s[73] + (3*s[74])/4 - 
       (3*s[75])/4 - (51*s[77])/2 - s[78] - 112*s[79] + (139*s[80])/6 - 
       14*s[82] + 18*s[84] + 20*s[85]) + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*((727*s[2])/36 - 
       (541*s[3])/8 - (22267*s[4])/144 - (70721*s[5])/1584 - 
       (119441*s[6])/1584 - (1174153*s[7])/1188 + (1335733*s[8])/4752 + 
       (68309*s[9])/108 + (8989*s[10])/432 + (313171*s[11])/264 + 
       (4921369*s[12])/3168 + (7035541*s[13])/9504 - (553525*s[14])/1056 + 
       (513953*s[15])/432 + (15472423*s[16])/9504 + (2045741*s[17])/2376 + 
       (7820*s[18])/27 + (14669*s[19])/108 + (3553973*s[20])/2376 + 
       (14197199*s[21])/28512 - (12071129*s[22])/28512 - 
       (15508513*s[23])/4752 - (2442673*s[24])/3564 + 
       (28115369*s[25])/16038 - (106393447*s[26])/128304 + s[27]/2 + 
       (11*s[28])/6 + (181*s[29])/9 - (31*s[30])/6 + (47*s[31])/3 - s[32]/9 + 
       (56*s[33])/9 - (143*s[34])/18 + (241*s[35])/18 + (1949*s[36])/108 - 
       (515*s[37])/12 - (1141*s[38])/36 + (12115*s[39])/48 - 
       (77711*s[40])/432 + (1273*s[41])/16 - (37309*s[42])/108 - 
       (284293*s[43])/4752 + (350465*s[44])/2376 - (3298*s[45])/99 + 
       (3615211*s[46])/4752 - (177071*s[47])/891 + (4803691*s[48])/14256 + 
       (8550437*s[49])/14256 - (250079*s[50])/594 - (803447*s[51])/7128 - 
       (2005165*s[52])/14256 + (6497159*s[53])/14256 - (14713*s[54])/2376 + 
       (9933337*s[55])/4752 + (5244203*s[56])/14256 - 
       (107477969*s[57])/42768 + (205788361*s[58])/128304 - 
       (58380985*s[59])/32076 - (286916651*s[60])/85536 + 
       (583099433*s[61])/2309472 + (5*s[62])/2 - s[64]/6 + (41*s[65])/18 + 
       (43*s[66])/9 - (25*s[67])/3 - (5*s[68])/3 - 16*s[69] + 25*s[70] - 
       (58*s[71])/9 - (109*s[72])/9 + (73*s[73])/18 + (211*s[74])/36 - 
       (205*s[75])/36 - (61*s[76])/9 - (347*s[77])/18 - (175*s[78])/6 + 
       (323*s[79])/3 + (11*s[80])/9 - s[81]/6 - 59*s[82] - (71*s[83])/6 + 
       (73*s[84])/3 + 20*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      Omega2[v, w, u]*(5*s[2] + (41*s[3])/2 + (1409*s[4])/3 + 
       (15069*s[5])/44 + (9593*s[6])/11 + (764167*s[7])/99 - 
       (190144*s[8])/297 - (351667*s[9])/54 - (54463*s[10])/27 - 
       (3352421*s[11])/396 - (7333031*s[12])/792 - (4391789*s[13])/792 - 
       (795373*s[14])/792 - (92162*s[15])/9 - (10313915*s[16])/792 - 
       (662665*s[17])/66 - (118432*s[18])/81 - (348443*s[19])/324 - 
       (54791789*s[20])/3564 - (39914671*s[21])/7128 + 
       (28899677*s[22])/7128 + (909335*s[23])/99 + (29658175*s[24])/3564 - 
       (690268339*s[25])/64152 + (381448585*s[26])/64152 + s[30] + 2*s[31] - 
       (3*s[32])/2 + s[33]/4 - s[34] - (2*s[35])/3 - (49*s[36])/3 + 
       (104*s[37])/3 + (1465*s[38])/6 - (12475*s[39])/12 + (13991*s[40])/12 - 
       (10867*s[41])/12 + (9193*s[42])/6 + (110711*s[43])/132 - 
       (10107*s[44])/11 + (20989*s[45])/22 - (339255*s[46])/44 + 
       (28097*s[47])/66 - (4493*s[48])/132 - (501607*s[49])/132 + 
       (193378*s[50])/33 + (104870*s[51])/99 + (115729*s[52])/132 - 
       (801535*s[53])/198 + (23167*s[54])/66 - (3364199*s[55])/132 - 
       (2784457*s[56])/396 + (10648483*s[57])/1188 - (45018365*s[58])/3564 + 
       (22449175*s[59])/1782 + (16306115*s[60])/264 - 
       (216949741*s[61])/64152 + 2*s[68] - 2*s[69] - 2*s[70] + 4*s[72] - 
       2*s[73] - (16*s[74])/3 + (16*s[75])/3 - (20*s[76])/3 + (4*s[77])/3 + 
       6*s[78] + 116*s[79] - (98*s[80])/3 + 55*s[82] + 48*s[84] + 20*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((193*s[2])/48 + (2761*s[3])/96 + (254483*s[4])/192 + 
       (646429*s[5])/792 + (14180081*s[6])/6336 + (2260120339*s[7])/114048 - 
       (300262759*s[8])/171072 - (64818209*s[9])/3888 - 
       (38010461*s[10])/7776 - (2490995989*s[11])/114048 - 
       (1376957899*s[12])/57024 - (553550323*s[13])/38016 - 
       (221839879*s[14])/114048 - (89787619*s[15])/3456 - 
       (630176695*s[16])/19008 - (2845986203*s[17])/114048 - 
       (21511031*s[18])/5832 - (125177597*s[19])/46656 - 
       (19872340637*s[20])/513216 - (14260757941*s[21])/1026432 + 
       (10697500817*s[22])/1026432 + (240198221*s[23])/9504 + 
       (2695779907*s[24])/128304 - (129941977229*s[25])/4618944 + 
       (70303258475*s[26])/4618944 - (19*s[29])/18 + (457*s[30])/24 + 
       (65*s[31])/9 + (455*s[32])/72 + (1795*s[33])/144 - (901*s[34])/72 - 
       (487*s[35])/72 - (6311*s[36])/108 + (664*s[37])/9 + (47555*s[38])/72 - 
       (814801*s[39])/288 + (2761219*s[40])/864 - (239869*s[41])/96 + 
       (3605435*s[42])/864 + (22823021*s[43])/9504 - (49840891*s[44])/19008 + 
       (4305331*s[45])/1584 - (208101869*s[46])/9504 + 
       (57596585*s[47])/57024 + (10402427*s[48])/57024 - 
       (621201719*s[49])/57024 + (79600885*s[50])/4752 + 
       (163947979*s[51])/57024 + (131188225*s[52])/57024 - 
       (331962115*s[53])/28512 + (3788243*s[54])/4752 - 
       (465590053*s[55])/6336 - (1136619245*s[56])/57024 + 
       (1897342153*s[57])/85536 - (17866396957*s[58])/513216 + 
       (18018539923*s[59])/513216 + (60598483925*s[60])/342144 - 
       (44308768315*s[61])/4618944 - s[64]/2 - (13*s[65])/36 - s[66]/9 + 
       (10*s[67])/9 + (91*s[68])/9 - (8*s[69])/9 - (61*s[70])/18 - 
       (53*s[71])/36 + (451*s[72])/36 - (461*s[73])/36 - (249*s[74])/16 + 
       (659*s[75])/48 - (649*s[76])/36 + (809*s[77])/72 + (643*s[78])/36 + 
       332*s[79] - (265*s[80])/3 + (75*s[82])/2 + (5*s[83])/6 + 
       (587*s[84])/6 + (61*s[85])/3) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 1}, 1 - w]*((-485*s[2])/48 + (1883*s[3])/96 + (93679*s[4])/64 + 
       (178993*s[5])/352 + (1242343*s[6])/704 + (662789909*s[7])/38016 - 
       (34962757*s[8])/19008 - (3112429*s[9])/216 - (832409*s[10])/216 - 
       (27648281*s[11])/1408 - (35554843*s[12])/1584 - 
       (522717313*s[13])/38016 + (1355377*s[14])/4224 - 
       (76155395*s[15])/3456 - (34117763*s[16])/1188 - 
       (760684973*s[17])/38016 - (609557*s[18])/216 - (1623377*s[19])/576 - 
       (608268971*s[20])/19008 - (1216768367*s[21])/114048 + 
       (1044525815*s[22])/114048 + (118354105*s[23])/4752 + 
       (529978529*s[24])/28512 - (13492240969*s[25])/513216 + 
       (6732422509*s[26])/513216 - s[28]/4 - (41*s[29])/4 + (229*s[30])/24 + 
       (41*s[31])/12 - (11*s[32])/6 + s[33]/3 - (147*s[34])/8 - 
       (403*s[35])/24 - (5675*s[36])/72 + (13447*s[37])/144 + 
       (2485*s[38])/3 - (77063*s[39])/24 + (31567*s[40])/9 - 2723*s[41] + 
       (167021*s[42])/36 + (2117851*s[43])/792 - (18182897*s[44])/6336 + 
       (8408681*s[45])/3168 - (23737201*s[46])/1056 + 
       (22531039*s[47])/19008 + (971479*s[48])/19008 - 
       (234038737*s[49])/19008 + (27413789*s[50])/1584 + 
       (60455231*s[51])/19008 + (48232865*s[52])/19008 - 
       (18808441*s[53])/1584 + (48779*s[54])/176 - (468611545*s[55])/6336 - 
       (363327359*s[56])/19008 + (705640957*s[57])/28512 - 
       (6155014363*s[58])/171072 + (6268852825*s[59])/171072 + 
       (20845101757*s[60])/114048 - (14223008071*s[61])/1539648 - s[64]/8 - 
       (19*s[65])/8 - 10*s[66] + (63*s[67])/4 + (13*s[68])/4 + (91*s[69])/4 + 
       s[70]/4 - (13*s[71])/24 + (205*s[72])/12 - (389*s[73])/12 - 
       (305*s[74])/16 + (301*s[75])/16 - (56*s[76])/3 - (97*s[77])/8 + 
       (397*s[78])/12 + 234*s[79] - (2519*s[80])/72 - (97*s[82])/2 + 
       (9*s[83])/2 + (241*s[84])/2 + 21*s[85]) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((43*s[2])/6 - (1543*s[3])/72 + (29849*s[4])/144 + (349375*s[5])/1584 + 
       (31639*s[6])/66 + (41886811*s[7])/9504 - (282587*s[8])/891 - 
       (4896337*s[9])/1296 - (1622669*s[10])/1296 - (45368021*s[11])/9504 - 
       (24214427*s[12])/4752 - (28999831*s[13])/9504 - (7731623*s[14])/9504 - 
       (5173211*s[15])/864 - (8859353*s[16])/1188 - (19020623*s[17])/3168 - 
       (2992661*s[18])/3888 - (2671333*s[19])/3888 - (191772869*s[20])/
        21384 - (283056749*s[21])/85536 + (199493329*s[22])/85536 + 
       (19764829*s[23])/4752 + (211285265*s[24])/42768 - 
       (4590070409*s[25])/769824 + (2597347847*s[26])/769824 + s[29]/3 - 
       s[30]/6 + (11*s[31])/3 - (167*s[32])/36 + (11*s[33])/12 - 
       (31*s[34])/6 - (4*s[35])/3 - (239*s[36])/18 + (17*s[37])/2 + 
       (2573*s[38])/18 - (40039*s[39])/72 + (4975*s[40])/8 - 
       (11827*s[41])/24 + (9535*s[42])/12 + (434657*s[43])/792 - 
       (216049*s[44])/396 + (138559*s[45])/198 - (4039939*s[46])/792 + 
       (225689*s[47])/1584 + (269821*s[48])/1584 - (430603*s[49])/176 + 
       (1578899*s[50])/396 + (890953*s[51])/1584 + (38711*s[52])/88 - 
       (3313361*s[53])/1188 + (4255*s[54])/88 - (85460147*s[55])/4752 - 
       (21880615*s[56])/4752 + (18547175*s[57])/7128 - 
       (317719727*s[58])/42768 + (325671497*s[59])/42768 + 
       (406410445*s[60])/9504 - (438913945*s[61])/192456 + s[65]/6 + 
       (2*s[66])/3 + s[67]/3 + (31*s[68])/18 - (5*s[69])/9 - (2*s[70])/3 - 
       (7*s[71])/6 + (5*s[72])/3 - 4*s[73] - (5*s[74])/2 + (5*s[75])/2 - 
       s[76] + (25*s[77])/18 + 2*s[78] + (164*s[79])/3 - (35*s[80])/6 + 
       (581*s[82])/6 - s[83]/2 + 27*s[84] + (64*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((223*s[2])/36 + (241*s[3])/24 + (61133*s[4])/72 + (16175*s[5])/33 + 
       (4337393*s[6])/3168 + (3755108*s[7])/297 - (30423749*s[8])/28512 - 
       (27620953*s[9])/2592 - (2085881*s[10])/648 - (266086859*s[11])/19008 - 
       (294427099*s[12])/19008 - (1238399*s[13])/132 - 
       (11172151*s[14])/9504 - (7115177*s[15])/432 - (1397045*s[16])/66 - 
       (301147873*s[17])/19008 - (8767957*s[18])/3888 - 
       (7314083*s[19])/3888 - (2114310403*s[20])/85536 - 
       (754844977*s[21])/85536 + (285618415*s[22])/42768 + 
       (97156355*s[23])/6336 + (2343200269*s[24])/171072 - 
       (27731987843*s[25])/1539648 + (14941845671*s[26])/1539648 + 2*s[30] + 
       (31*s[31])/9 - (59*s[32])/12 + (19*s[33])/12 - (62*s[34])/9 - 
       (14*s[35])/9 - (2089*s[36])/54 + (9919*s[37])/216 + (3777*s[38])/8 - 
       (30323*s[39])/16 + (915713*s[40])/432 - (26813*s[41])/16 + 
       (594953*s[42])/216 + (7677679*s[43])/4752 - (8170249*s[44])/4752 + 
       (7924601*s[45])/4752 - (1219971*s[46])/88 + (4703401*s[47])/7128 + 
       (1611377*s[48])/14256 - (209655313*s[49])/28512 + 
       (12640099*s[50])/1188 + (52761869*s[51])/28512 + 
       (11195045*s[52])/7128 - (158985*s[53])/22 + (135305*s[54])/528 - 
       (108339779*s[55])/2376 - (347288771*s[56])/28512 + 
       (654311179*s[57])/42768 - (5725078399*s[58])/256608 + 
       (5771826073*s[59])/256608 + (19308107773*s[60])/171072 - 
       (6716558279*s[61])/1154736 - (16*s[68])/9 + (16*s[69])/9 - 2*s[71] + 
       8*s[72] - 12*s[73] - (331*s[74])/36 + (331*s[75])/36 - (91*s[76])/9 - 
       (40*s[77])/9 + (67*s[78])/9 + (1810*s[79])/9 - (1043*s[80])/27 + 
       (85*s[82])/12 + 96*s[84] + (64*s[85])/3) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((7*s[2])/4 + (151*s[3])/12 - (485*s[4])/144 + (4801*s[5])/144 + 
       (8309*s[6])/144 + (367277*s[7])/864 - (833*s[8])/48 - (3094*s[9])/9 - 
       (3445*s[10])/16 - (27473*s[11])/72 - (83665*s[12])/288 - 
       (98791*s[13])/864 - (82385*s[14])/288 - (81959*s[15])/96 - 
       (190057*s[16])/216 - (109315*s[17])/108 - (6544*s[18])/81 - 
       (18133*s[19])/162 - (711059*s[20])/648 - (1153183*s[21])/2592 + 
       (19355*s[22])/96 - (24679*s[23])/864 + (510077*s[24])/864 - 
       (2307733*s[25])/5832 + (3756803*s[26])/11664 + s[32]/12 - 
       (3*s[33])/8 + (9*s[34])/2 + 2*s[35] - (2*s[36])/3 - (499*s[37])/72 - 
       (140*s[38])/9 + (2825*s[39])/48 - (907*s[40])/16 + (1669*s[41])/48 - 
       (12655*s[42])/144 + (20495*s[43])/1584 + (16261*s[44])/1056 + 
       (98773*s[45])/792 - (759115*s[46])/1584 - (685549*s[47])/9504 + 
       (1002401*s[48])/9504 - (593033*s[49])/9504 + (181391*s[50])/396 - 
       (535519*s[51])/9504 - (670961*s[52])/9504 - (1893245*s[53])/4752 - 
       (75521*s[54])/792 - (26519297*s[55])/9504 - (191685*s[56])/352 - 
       (2396795*s[57])/1188 - (3047951*s[58])/28512 + (8481113*s[59])/28512 + 
       (283663679*s[60])/57024 - (28135615*s[61])/85536 + s[68]/6 - s[69]/6 - 
       s[71]/4 + s[74] - s[75] + s[76] + s[77]/6 - 10*s[79] + (53*s[80])/12 + 
       (299*s[82])/3 + 22*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*((5*s[2])/6 + (77*s[3])/8 + 
       (2023*s[4])/72 + (675*s[5])/22 + (133345*s[6])/1584 + 
       (242600*s[7])/297 - (656357*s[8])/14256 - (876337*s[9])/1296 - 
       (203365*s[10])/648 - (8085773*s[11])/9504 - (8064271*s[12])/9504 - 
       (2320745*s[13])/4752 - (602753*s[14])/2376 - (266911*s[15])/216 - 
       (6921491*s[16])/4752 - (4178485*s[17])/3168 - (25031*s[18])/243 - 
       (429179*s[19])/1944 - (76369603*s[20])/42768 - 
       (13264505*s[21])/21384 + (17823581*s[22])/42768 + 
       (1901423*s[23])/9504 + (91000903*s[24])/85536 - 
       (803758841*s[25])/769824 + (461696777*s[26])/769824 + s[31]/3 + 
       s[32]/2 - (5*s[33])/4 - (5*s[34])/3 - (2*s[35])/3 - (32*s[36])/9 - 
       (79*s[37])/9 + (47*s[38])/4 - (1031*s[39])/48 + (4325*s[40])/144 - 
       (1369*s[41])/48 + (493*s[42])/48 + (4471*s[43])/48 - 
       (20993*s[44])/288 + (29075*s[45])/144 - (38917*s[46])/36 - 
       (54539*s[47])/864 + (139735*s[48])/864 - (366937*s[49])/864 + 
       (21589*s[50])/24 + (6515*s[51])/288 - (3157*s[52])/864 - 
       (35227*s[53])/54 - (7463*s[54])/72 - (145213*s[55])/32 - 
       (869035*s[56])/864 - (491953*s[57])/324 - (8073347*s[58])/7776 + 
       (9076487*s[59])/7776 + (52491001*s[60])/5184 - 
       (19526965*s[61])/34992 + s[68]/6 - s[69]/6 - s[71]/2 + 4*s[73] - 
       s[74]/12 + s[75]/12 + (2*s[76])/3 + s[77]/6 + s[78]/3 - (20*s[79])/3 + 
       (70*s[80])/9 + (299*s[82])/3 + 22*s[85]) + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]^2*((85*s[2])/24 + (397*s[3])/48 + 
       (46873*s[4])/96 + (150059*s[5])/528 + (273435*s[6])/352 + 
       (137770489*s[7])/19008 - (18560549*s[8])/28512 - (3940261*s[9])/648 - 
       (1185131*s[10])/648 - (152547269*s[11])/19008 - 
       (42361663*s[12])/4752 - (101777371*s[13])/19008 - 
       (11791613*s[14])/19008 - (16366247*s[15])/1728 - 
       (115597349*s[16])/9504 - (19164587*s[17])/2112 - 
       (5119363*s[18])/3888 - (8280139*s[19])/7776 - (1210296949*s[20])/
        85536 - (862386599*s[21])/171072 + (652566763*s[22])/171072 + 
       (86297119*s[23])/9504 + (667475153*s[24])/85536 - 
       (7963792909*s[25])/769824 + (4277839723*s[26])/769824 - 3*s[29] + 
       (9*s[30])/4 + (2*s[31])/3 - (49*s[32])/24 + (11*s[33])/12 - 
       (31*s[34])/12 - (37*s[35])/12 - (851*s[36])/36 + (1553*s[37])/72 + 
       (1631*s[38])/6 - (6697*s[39])/6 + (44549*s[40])/36 - (2924*s[41])/3 + 
       (233443*s[42])/144 + (374725*s[43])/396 - (810215*s[44])/792 + 
       (805577*s[45])/792 - (6616759*s[46])/792 + (467609*s[47])/1188 + 
       (85799*s[48])/1188 - (20784059*s[49])/4752 + (2540371*s[50])/396 + 
       (5218219*s[51])/4752 + (263935*s[52])/297 - (10501379*s[53])/2376 + 
       (49759*s[54])/396 - (11008369*s[55])/396 - (3871651*s[56])/528 + 
       (40598411*s[57])/4752 - (189156281*s[58])/14256 + 
       (191464589*s[59])/14256 + (1936834469*s[60])/28512 - 
       (76199287*s[61])/21384 - (7*s[65])/12 - (7*s[66])/3 + (25*s[67])/6 + 
       (13*s[68])/6 + (37*s[69])/6 + s[70]/6 + s[71]/12 + (37*s[72])/6 - 
       (15*s[73])/2 - (51*s[74])/8 + (51*s[75])/8 - (16*s[76])/3 - 
       (31*s[77])/12 + (32*s[78])/3 + (286*s[79])/3 - (401*s[80])/18 + 
       (181*s[82])/2 + (7*s[83])/4 + (81*s[84])/2 + 22*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]^2*((13*s[2])/12 + (77*s[3])/4 + 
       (977*s[4])/2 + (275707*s[5])/1056 + (264205*s[6])/352 + 
       (65910485*s[7])/9504 - (18405983*s[8])/28512 - (14999095*s[9])/2592 - 
       (4426307*s[10])/2592 - (36645677*s[11])/4752 - (81945575*s[12])/9504 - 
       (49409813*s[13])/9504 - (4532149*s[14])/9504 - (3865103*s[15])/432 - 
       (6886241*s[16])/594 - (27010823*s[17])/3168 - (9696449*s[18])/7776 - 
       (4017683*s[19])/3888 - (572947847*s[20])/42768 - 
       (201241391*s[21])/42768 + (311338175*s[22])/85536 + 
       (42181481*s[23])/4752 + (159312719*s[24])/21384 - 
       (15419797277*s[25])/1539648 + (8152827053*s[26])/1539648 - 3*s[29] + 
       (9*s[30])/4 + s[31]/3 - (11*s[32])/12 - (143*s[33])/48 - 
       (23*s[34])/12 - (31*s[35])/6 - (569*s[36])/24 + (4271*s[37])/144 + 
       (533*s[38])/2 - (104029*s[39])/96 + (115073*s[40])/96 - 
       (29903*s[41])/32 + (150463*s[42])/96 + (958691*s[43])/1056 - 
       (2092153*s[44])/2112 + (3168217*s[45])/3168 - (12850043*s[46])/1584 + 
       (2486335*s[47])/6336 + (360805*s[48])/6336 - (26650969*s[49])/6336 + 
       (546815*s[50])/88 + (2263187*s[51])/2112 + (5496779*s[52])/6336 - 
       (20303119*s[53])/4752 + (55675*s[54])/396 - (170430521*s[55])/6336 - 
       (135775349*s[56])/19008 + (59906623*s[57])/7128 - 
       (2213267005*s[58])/171072 + (2228969125*s[59])/171072 + 
       (2502951833*s[60])/38016 - (167744471*s[61])/48114 - (7*s[65])/12 - 
       (7*s[66])/3 + (25*s[67])/6 + (8*s[68])/3 + (17*s[69])/3 + 
       (2*s[70])/3 + (7*s[71])/12 + (16*s[72])/3 - (17*s[73])/3 - 
       (77*s[74])/12 + (77*s[75])/12 - 5*s[76] - (5*s[77])/3 + (26*s[78])/3 + 
       83*s[79] - (1465*s[80])/72 + (181*s[82])/2 + (7*s[83])/4 + 
       (81*s[84])/2 + 22*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*((67*s[2])/3 + (20*s[3])/3 + 
       (5659*s[4])/8 + (116027*s[5])/264 + (218701*s[6])/176 + 
       (12717875*s[7])/1188 - (13272265*s[8])/14256 - (11628869*s[9])/1296 - 
       (1691975*s[10])/648 - (112833283*s[11])/9504 - 
       (125462627*s[12])/9504 - (264116*s[13])/33 - (4898285*s[14])/4752 - 
       (988669*s[15])/72 - (14070499*s[16])/792 - (124665833*s[17])/9504 - 
       (3975713*s[18])/1944 - (2690485*s[19])/1944 - (891830351*s[20])/
        42768 - (321651533*s[21])/42768 + (60126331*s[22])/10692 + 
       (14266433*s[23])/1056 + (974990213*s[24])/85536 - 
       (11749411711*s[25])/769824 + (6362628571*s[26])/769824 + s[28]/2 - 
       (2*s[29])/3 + (3*s[30])/2 + 7*s[31] + s[32]/2 + (71*s[33])/24 - 
       (41*s[34])/6 - (19*s[35])/3 - (599*s[36])/18 + (1295*s[37])/36 + 
       (4985*s[38])/12 - (38657*s[39])/24 + (128375*s[40])/72 - 
       (11229*s[41])/8 + (21038*s[42])/9 + (1076929*s[43])/792 - 
       (1132195*s[44])/792 + (141854*s[45])/99 - (9315197*s[46])/792 + 
       (361481*s[47])/594 + (183509*s[48])/2376 - (28499623*s[49])/4752 + 
       (1745863*s[50])/198 + (7837259*s[51])/4752 + (407981*s[52])/297 - 
       (14424109*s[53])/2376 + (472705*s[54])/792 - (3781447*s[55])/99 - 
       (1880815*s[56])/176 + (32736755*s[57])/2376 - (274372693*s[58])/
        14256 + (273343933*s[59])/14256 + (2683514401*s[60])/28512 - 
       (72654709*s[61])/14256 - s[65]/3 + (2*s[66])/3 + s[67]/3 + 
       (13*s[68])/3 - (11*s[69])/3 + (7*s[70])/3 - (13*s[71])/6 + 
       (22*s[72])/3 - (2*s[73])/3 - (47*s[74])/6 + (47*s[75])/6 - 
       (38*s[76])/3 - (5*s[77])/3 + (20*s[78])/3 + (376*s[79])/3 - 
       (104*s[80])/9 - (339*s[82])/2 + (13*s[83])/4 + (101*s[84])/2 + 
       22*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*
      ((-1457*s[2])/144 + (649*s[3])/36 + (857*s[4])/9 + (4487*s[5])/99 + 
       (235937*s[6])/1584 + (35874169*s[7])/28512 - (4510525*s[8])/85536 - 
       (8360975*s[9])/7776 - (2890645*s[10])/7776 - (78630067*s[11])/57024 - 
       (41723395*s[12])/28512 - (52001471*s[13])/57024 - 
       (10763977*s[14])/57024 - (4326089*s[15])/2592 - 
       (121621889*s[16])/57024 - (32477191*s[17])/19008 - 
       (5572057*s[18])/23328 - (2533765*s[19])/11664 - 
       (40585979*s[20])/16038 - (482159695*s[21])/513216 + 
       (339530825*s[22])/513216 + (76172431*s[23])/57024 + 
       (701100923*s[24])/513216 - (995086925*s[25])/577368 + 
       (1126809439*s[26])/1154736 + (7*s[29])/6 - (5*s[30])/24 - 
       (103*s[31])/18 - s[32]/72 - (677*s[33])/144 + (173*s[34])/72 + 
       (455*s[35])/72 + (469*s[36])/216 - (2825*s[37])/864 + 
       (6961*s[38])/144 - (41189*s[39])/288 + (153527*s[40])/864 - 
       (11581*s[41])/72 + (5174*s[42])/27 + (1596481*s[43])/9504 - 
       (2871755*s[44])/19008 + (4057571*s[45])/19008 - 
       (28206763*s[46])/19008 - (365813*s[47])/57024 + 
       (6371401*s[48])/57024 - (41054341*s[49])/57024 + 
       (5774435*s[50])/4752 + (7990643*s[51])/57024 + (7151957*s[52])/57024 - 
       (44475203*s[53])/57024 - (965633*s[54])/9504 - 
       (97898873*s[55])/19008 - (23357231*s[56])/19008 + 
       (2235631*s[57])/3168 - (183821149*s[58])/85536 + 
       (371498693*s[59])/171072 + (1095287005*s[60])/85536 - 
       (1864726235*s[61])/3079296 + (5*s[65])/18 + (10*s[66])/9 - 
       (31*s[67])/18 - (29*s[68])/9 - (13*s[69])/18 - (5*s[70])/9 - 
       (355*s[71])/144 - (5*s[72])/36 + (11*s[73])/4 + (7*s[74])/16 - 
       (5*s[75])/16 + (145*s[76])/36 - (73*s[77])/72 - (179*s[78])/36 + 
       (673*s[79])/18 - (335*s[80])/432 - (13*s[82])/4 - (67*s[83])/48 + 
       (143*s[84])/8 + (67*s[85])/3) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]^2*((61*s[2])/12 + (65*s[3])/3 + (44803*s[4])/96 + 
       (319727*s[5])/1056 + (140825*s[6])/176 + (69656093*s[7])/9504 - 
       (8872681*s[8])/14256 - (7972841*s[9])/1296 - (4988723*s[10])/2592 - 
       (9578285*s[11])/1188 - (84027767*s[12])/9504 - (50520203*s[13])/9504 - 
       (937049*s[14])/1188 - (8439817*s[15])/864 - (117717767*s[16])/9504 - 
       (3758119*s[17])/396 - (4962631*s[18])/3888 - (2285221*s[19])/1944 - 
       (617140157*s[20])/42768 - (438578077*s[21])/85536 + 
       (41089705*s[22])/10692 + (80408149*s[23])/9504 + 
       (691590947*s[24])/85536 - (1993859755*s[25])/192456 + 
       (1074547753*s[26])/192456 - s[28]/24 - s[29] + (11*s[30])/8 + 
       (17*s[31])/12 - (11*s[32])/24 + (49*s[33])/96 - (25*s[34])/8 - 
       (37*s[35])/12 - (301*s[36])/18 + (1637*s[37])/72 + 251*s[38] - 
       (24209*s[39])/24 + (80503*s[40])/72 - (6999*s[41])/8 + 
       (52717*s[42])/36 + (696725*s[43])/792 - (1459201*s[44])/1584 + 
       (386741*s[45])/396 - (2056091*s[46])/264 + (208009*s[47])/594 + 
       (104795*s[48])/1188 - (18963833*s[49])/4752 + (593317*s[50])/99 + 
       (4832191*s[51])/4752 + (3827251*s[52])/4752 - (1099331*s[53])/264 + 
       (40213*s[54])/264 - (41533333*s[55])/1584 - (32611963*s[56])/4752 + 
       (102821629*s[57])/14256 - (32531867*s[58])/2673 + 
       (264141055*s[59])/21384 + (1811295119*s[60])/28512 - 
       (1294728641*s[61])/384912 - s[65]/6 - (2*s[66])/3 + (4*s[67])/3 + 
       (25*s[68])/12 + s[69] + s[70]/3 - s[71]/3 + (25*s[72])/6 - 
       (2*s[73])/3 - (107*s[74])/24 + (107*s[75])/24 - (13*s[76])/3 + 
       s[77]/2 + (29*s[78])/6 + 80*s[79] - (623*s[80])/36 + (155*s[82])/2 + 
       s[83]/2 + 36*s[84] + 23*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^3*
      ((-29*s[2])/8 + (32*s[3])/3 + (1241*s[4])/3 + (131683*s[5])/528 + 
       (44285*s[6])/66 + (19464505*s[7])/3168 - (8054249*s[8])/14256 - 
       (3332879*s[9])/648 - (1987229*s[10])/1296 - (64283459*s[11])/9504 - 
       (71051449*s[12])/9504 - (5331517*s[13])/1188 - (1284989*s[14])/2376 - 
       (7009093*s[15])/864 - (97939751*s[16])/9504 - (73892813*s[17])/9504 - 
       (549475*s[18])/486 - (847441*s[19])/972 - (256061501*s[20])/21384 - 
       (182663311*s[21])/42768 + (137652335*s[22])/42768 + 
       (9369815*s[23])/1188 + (279979211*s[24])/42768 - 
       (6722739767*s[25])/769824 + (3618747911*s[26])/769824 - s[28]/8 - 
       (11*s[29])/12 + (29*s[30])/12 + (5*s[31])/3 - s[32]/8 + (19*s[33])/4 - 
       (5*s[34])/2 - (25*s[35])/4 - (1361*s[36])/72 + (1415*s[37])/72 + 
       (1909*s[38])/8 - (33439*s[39])/32 + (330515*s[40])/288 - 
       (86255*s[41])/96 + (443137*s[42])/288 + (2691961*s[43])/3168 - 
       (5939183*s[44])/6336 + (354127*s[45])/396 - (2668799*s[46])/352 + 
       (7796893*s[47])/19008 - (488153*s[48])/19008 - 
       (74853079*s[49])/19008 + (1151965*s[50])/198 + 
       (19914299*s[51])/19008 + (15740573*s[52])/19008 - 
       (3215429*s[53])/792 + (4715*s[54])/22 - (160393573*s[55])/6336 - 
       (127059605*s[56])/19008 + (113975291*s[57])/14256 - 
       (2065349335*s[58])/171072 + (2097375745*s[59])/171072 + 
       (6957422029*s[60])/114048 - (4988288509*s[61])/1539648 + (2*s[63])/3 - 
       (13*s[65])/12 - 3*s[66] + (7*s[67])/2 + (11*s[68])/6 + (13*s[69])/3 - 
       6*s[70] + (5*s[71])/6 + (49*s[72])/6 - (23*s[73])/12 - (43*s[74])/6 + 
       (173*s[75])/24 - (19*s[76])/3 + (15*s[77])/4 + (127*s[78])/12 + 
       80*s[79] - (181*s[80])/9 + (157*s[82])/2 + (3*s[83])/2 + 42*s[84] + 
       23*s[85]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((-125*s[2])/12 + (865*s[3])/16 + (23851*s[4])/96 + (9299*s[5])/288 + 
       (18605*s[6])/72 + (14223331*s[7])/5184 - (301253*s[8])/972 - 
       (16780585*s[9])/7776 - (6221813*s[10])/7776 - (15690265*s[11])/5184 - 
       (8710459*s[12])/2592 - (1151749*s[13])/576 - (370729*s[14])/5184 - 
       (6691675*s[15])/1728 - (1049519*s[16])/216 - (19711961*s[17])/5184 - 
       (3024793*s[18])/11664 - (9176501*s[19])/11664 - (7632131*s[20])/1458 - 
       (71195371*s[21])/46656 + (65091737*s[22])/46656 + (834709*s[23])/288 + 
       (19762501*s[24])/5832 - (1733296711*s[25])/419904 + 
       (816863827*s[26])/419904 - (61*s[29])/18 + (31*s[30])/12 - 
       (67*s[31])/9 - (55*s[32])/72 - (337*s[33])/72 + (355*s[34])/36 + 
       (271*s[35])/36 - (685*s[36])/54 + (99*s[37])/16 + (4355*s[38])/72 - 
       (34727*s[39])/144 + (122621*s[40])/432 - (809*s[41])/4 + 
       (73271*s[42])/216 + (1403191*s[43])/4752 - (6180973*s[44])/19008 + 
       (157035*s[45])/352 - (28663229*s[46])/9504 - (944149*s[47])/57024 + 
       (14370095*s[48])/57024 - (83924201*s[49])/57024 + 
       (5998661*s[50])/2376 + (12403711*s[51])/57024 + 
       (6532393*s[52])/57024 - (49848751*s[53])/28512 - (621791*s[54])/2376 - 
       (72990271*s[55])/6336 - (152541179*s[56])/57024 - 
       (57095171*s[57])/85536 - (1932237277*s[58])/513216 + 
       (2079022741*s[59])/513216 + (9210747641*s[60])/342144 - 
       (3236341805*s[61])/2309472 - (10*s[65])/9 - (40*s[66])/9 + 
       (101*s[67])/18 - (32*s[68])/9 + (133*s[69])/9 - (26*s[70])/9 + 
       (83*s[71])/72 + (41*s[72])/18 - (139*s[73])/18 - (21*s[74])/8 + 
       (21*s[75])/8 + (43*s[76])/18 - (125*s[77])/36 + (91*s[78])/9 + 
       (217*s[79])/6 - (1381*s[80])/72 + 212*s[82] + (10*s[83])/3 + 
       (10*s[84])/3 + (70*s[85])/3) + HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v]*(-204*s[3] - 314*s[4] - (2221*s[5])/11 - 
       (6296*s[6])/11 - (307277*s[7])/66 + (36136*s[8])/99 + (33980*s[9])/9 + 
       (10939*s[10])/9 + (329839*s[11])/66 + (353867*s[12])/66 + 
       (111277*s[13])/33 + (15128*s[14])/33 + (12919*s[15])/2 + 
       (513893*s[16])/66 + (140133*s[17])/22 + (17605*s[18])/27 + 
       (29441*s[19])/27 + (2643596*s[20])/297 + (891230*s[21])/297 - 
       (690082*s[22])/297 - (140834*s[23])/33 - (1563187*s[24])/297 + 
       (17712215*s[25])/2673 - (9230993*s[26])/2673 - 20*s[32] - 50*s[37] - 
       93*s[38] + (777*s[39])/2 - (805*s[40])/2 + 236*s[41] - 568*s[42] - 
       (4879*s[43])/22 + (6727*s[44])/44 - (8306*s[45])/11 + 
       (82031*s[46])/22 - (9727*s[47])/33 + (30673*s[48])/66 + 
       (31018*s[49])/33 - (30443*s[50])/11 - (4305*s[51])/11 - 
       (61277*s[52])/132 + (69875*s[53])/33 - (12097*s[54])/22 + 
       (466264*s[55])/33 + (40058*s[56])/11 - (112481*s[57])/66 + 
       (571363*s[58])/99 - (1133813*s[59])/198 - (2841881*s[60])/99 + 
       (2353511*s[61])/1188 - 6*s[68] + 6*s[69] - 6*s[77] + 48*s[82] + 
       24*s[85]) + HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*
      (-281*s[4] - (1101*s[5])/4 - (1985*s[6])/4 - (60697*s[7])/12 + 
       (45127*s[8])/108 + (462745*s[9])/108 + (146321*s[10])/108 + 
       (96199*s[11])/18 + (202513*s[12])/36 + (117803*s[13])/36 + 
       (26795*s[14])/36 + (66509*s[15])/9 + (77003*s[16])/9 + 
       (259313*s[17])/36 + (263051*s[18])/324 + (146519*s[19])/162 + 
       (825848*s[20])/81 + (591007*s[21])/162 - (845359*s[22])/324 - 
       (104447*s[23])/18 - (921215*s[24])/162 + (39843409*s[25])/5832 - 
       (22162549*s[26])/5832 + (9*s[33])/2 - 6*s[34] + 14*s[36] - 
       (263*s[37])/6 - 167*s[38] + 728*s[39] - 852*s[40] + (1259*s[41])/2 - 
       (2211*s[42])/2 - (7798*s[43])/11 + (13485*s[44])/22 - 
       (96367*s[45])/132 + (769321*s[46])/132 - (2746*s[47])/11 + 
       (543*s[48])/11 + (32867*s[49])/11 - (50345*s[50])/11 - 
       (45037*s[51])/66 - (14101*s[52])/22 + (1341911*s[53])/396 - 
       (28933*s[54])/66 + (234562*s[55])/11 + (983237*s[56])/198 - 
       (1617653*s[57])/594 + (28814345*s[58])/3564 - (15917377*s[59])/1782 - 
       (38437463*s[60])/792 + (154726321*s[61])/64152 - 3*s[71] - 196*s[79] + 
       (223*s[80])/3 + 48*s[82] + 24*s[85]) + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*((7*s[2])/2 + (52*s[3])/3 - 
       (275*s[4])/12 - (113*s[5])/66 + (7913*s[6])/264 + (65501*s[7])/792 + 
       (214981*s[8])/7128 - (50761*s[9])/648 - (16679*s[10])/162 - 
       (380909*s[11])/4752 - (242035*s[12])/4752 - (14681*s[13])/1188 - 
       (50333*s[14])/297 - (20183*s[15])/216 - (245057*s[16])/1188 - 
       (1148645*s[17])/4752 - (140057*s[18])/1944 + (18803*s[19])/1944 - 
       (3544853*s[20])/10692 - (409322*s[21])/2673 + (942845*s[22])/21384 - 
       (780455*s[23])/4752 + (3772213*s[24])/42768 - (5752529*s[25])/384912 + 
       (28033325*s[26])/384912 - s[32]/3 - s[33]/2 + s[34]/3 - (2*s[36])/9 - 
       (86*s[37])/9 - (19*s[38])/3 + (61*s[39])/2 - (359*s[40])/18 + 
       (3*s[41])/4 - (1673*s[42])/36 + (1367*s[43])/198 - (2203*s[44])/396 + 
       (4709*s[45])/198 - (5303*s[46])/99 - (71065*s[47])/1188 + 
       (159935*s[48])/1188 - (55931*s[49])/1188 + (9925*s[50])/99 - 
       (13187*s[51])/1188 - (26963*s[52])/1188 - (2951*s[53])/594 - 
       (10877*s[54])/99 + (3673*s[55])/396 + (1025*s[56])/99 - 
       (107743*s[57])/396 + (92717*s[58])/3564 - (240697*s[59])/1782 + 
       (3465601*s[60])/3564 - (3925159*s[61])/64152 - 2*s[68] + 2*s[69] + 
       s[76]/3 - 2*s[77] - s[80]/9 + 71*s[82] + 24*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      (2*s[2] + 20*s[3] + (65*s[4])/4 + (1021*s[5])/22 + (15453*s[6])/176 + 
       (185527*s[7])/264 - (28165*s[8])/1584 - (87473*s[9])/144 - 
       (4853*s[10])/18 - (793615*s[11])/1056 - (794603*s[12])/1056 - 
       (71399*s[13])/176 - (129881*s[14])/528 - (4077*s[15])/4 - 
       (113231*s[16])/88 - (1206155*s[17])/1056 - (83665*s[18])/432 - 
       (38099*s[19])/432 - (1919837*s[20])/1188 - (3145247*s[21])/4752 + 
       (434059*s[22])/1188 + (227795*s[23])/352 + (7391957*s[24])/9504 - 
       (72098869*s[25])/85536 + (48137593*s[26])/85536 - s[32] - 6*s[37] + 
       (21*s[38])/2 - (431*s[39])/8 + (527*s[40])/8 - 67*s[41] + 
       (307*s[42])/4 + (4557*s[43])/88 - (11333*s[44])/176 + 
       (9725*s[45])/88 - (31307*s[46])/44 - (1303*s[47])/528 + 
       (34139*s[48])/528 - (152291*s[49])/528 + (6576*s[50])/11 + 
       (30527*s[51])/528 + (22867*s[52])/528 - (12418*s[53])/33 - 
       (698*s[54])/11 - (1285771*s[55])/528 - (114821*s[56])/176 + 
       (60353*s[57])/132 - (1717223*s[58])/1584 + (1601885*s[59])/1584 + 
       (19024613*s[60])/3168 - (1844923*s[61])/4752 - 2*s[68] + 2*s[69] - 
       2*s[77] + 78*s[82] + 24*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      Omega2[w, u, v]*(3*s[2] + 20*s[3] + (133*s[4])/4 + (1035*s[5])/22 + 
       (4579*s[6])/44 + (83631*s[7])/88 - (21481*s[8])/396 - 
       (14215*s[9])/18 - (3148*s[10])/9 - (261055*s[11])/264 - 
       (64643*s[12])/66 - (147847*s[13])/264 - (77791*s[14])/264 - 
       (35111*s[15])/24 - (114265*s[16])/66 - (419131*s[17])/264 - 
       (14905*s[18])/108 - (6305*s[19])/27 - (1233805*s[20])/594 - 
       (1739929*s[21])/2376 + (1145717*s[22])/2376 + (15493*s[23])/33 + 
       (718367*s[24])/594 - (12889319*s[25])/10692 + (7425887*s[26])/10692 - 
       s[32] - (14*s[37])/3 + 7*s[38] - (123*s[39])/4 + (171*s[40])/4 - 
       (161*s[41])/4 + (149*s[42])/4 + (3873*s[43])/44 - (6689*s[44])/88 + 
       (7869*s[45])/44 - (22257*s[46])/22 - (3963*s[47])/88 + 
       (11987*s[48])/88 - (36621*s[49])/88 + (9488*s[50])/11 + 
       (2925*s[51])/88 - (615*s[52])/88 - (6942*s[53])/11 - (1939*s[54])/22 - 
       (370275*s[55])/88 - (79575*s[56])/88 - (13265*s[57])/11 - 
       (262393*s[58])/264 + (296269*s[59])/264 + (4942777*s[60])/528 - 
       (907223*s[61])/1782 - 2*s[68] + 2*s[69] - 2*s[77] + 114*s[82] + 
       24*s[85]) + HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
      (s[2]/2 + 60*s[3] + (1191*s[4])/4 + (6113*s[5])/44 + (6581*s[6])/11 + 
       (572065*s[7])/132 - (67789*s[8])/198 - (62825*s[9])/18 - 
       (23755*s[10])/18 - (1255079*s[11])/264 - (655733*s[12])/132 - 
       (282339*s[13])/88 - (171497*s[14])/264 - (74263*s[15])/12 - 
       (677991*s[16])/88 - (1723351*s[17])/264 - (9890*s[18])/27 - 
       (133183*s[19])/108 - (4925243*s[20])/594 - (6367751*s[21])/2376 + 
       (5235553*s[22])/2376 + (259613*s[23])/88 + (13480351*s[24])/2376 - 
       (133872257*s[25])/21384 + (66517265*s[26])/21384 - 3*s[32] - 
       31*s[37] + 97*s[38] - (1441*s[39])/4 + (1549*s[40])/4 - 339*s[41] + 
       (1999*s[42])/4 + (20027*s[43])/44 - (18885*s[44])/44 + 
       (18233*s[45])/44 - (38052*s[46])/11 - (41*s[47])/22 + 
       (14955*s[48])/44 - (21845*s[49])/11 + (122587*s[50])/44 + 
       (49121*s[51])/132 + (1534*s[52])/11 - (89843*s[53])/44 - 
       (2683*s[54])/22 - (417884*s[55])/33 - (61379*s[56])/22 - 
       (31937*s[57])/132 - (836905*s[58])/198 + (469559*s[59])/99 + 
       (7963123*s[60])/264 - (4977989*s[61])/3564 - 6*s[68] + 6*s[69] - 
       6*s[77] + 180*s[82] + 24*s[85]) + HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w]*(-30*s[2] + (81*s[3])/2 + (965*s[4])/4 + 
       (5719*s[5])/44 + (20893*s[6])/44 + (239501*s[7])/66 - 
       (19945*s[8])/66 - (8656*s[9])/3 - (14615*s[10])/12 - 
       (340763*s[11])/88 - (86743*s[12])/22 - (651499*s[13])/264 - 
       (71425*s[14])/88 - (68831*s[15])/12 - (1777111*s[16])/264 - 
       (1603163*s[17])/264 - (1819*s[18])/9 - (21385*s[19])/18 - 
       (2888123*s[20])/396 - (654985*s[21])/264 + (1446553*s[22])/792 + 
       (519851*s[23])/264 + (4020151*s[24])/792 - (11900005*s[25])/2376 + 
       (6389557*s[26])/2376 - (5*s[27])/2 - 24*s[31] - 24*s[33] + 38*s[34] - 
       (21*s[36])/2 - (143*s[37])/2 + (149*s[38])/2 - (1895*s[39])/8 + 
       (2195*s[40])/8 - (1995*s[41])/8 + (2549*s[42])/8 + (35969*s[43])/88 - 
       (58585*s[44])/176 + (20359*s[45])/44 - (286377*s[46])/88 - 
       (54353*s[47])/528 + (223705*s[48])/528 - (966025*s[49])/528 + 
       (119129*s[50])/44 + (28051*s[51])/176 + (5519*s[52])/528 - 
       (186171*s[53])/88 - (11085*s[54])/44 - (7221829*s[55])/528 - 
       (1565759*s[56])/528 - (519473*s[57])/198 - (16640281*s[58])/4752 + 
       (21257479*s[59])/4752 + (96064363*s[60])/3168 - 
       (61626325*s[61])/42768 - 6*s[68] + 6*s[69] - (3*s[71])/2 + 24*s[76] - 
       6*s[77] - 6*s[78] + 12*s[79] - 13*s[80] + 180*s[82] + 24*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*
      ((41*s[2])/2 - 24*s[3] - (5233*s[4])/2 - (59031*s[5])/44 - 
       (166839*s[6])/44 - (56470907*s[7])/1584 + (7998917*s[8])/2376 + 
       (3216995*s[9])/108 + (458573*s[10])/54 + (62895449*s[11])/1584 + 
       (35170895*s[12])/792 + (14340779*s[13])/528 + (2528819*s[14])/1584 + 
       (2217787*s[15])/48 + (1958725*s[16])/33 + (69030283*s[17])/1584 + 
       (1880563*s[18])/324 + (1890827*s[19])/324 + (120254389*s[20])/1782 + 
       (332579747*s[21])/14256 - (267073459*s[22])/14256 - 
       (12082313*s[23])/264 - (69160577*s[24])/1782 + 
       (836598073*s[25])/16038 - (866237903*s[26])/32076 + (5*s[27])/4 + 
       12*s[29] - (15*s[30])/2 + 4*s[31] + 7*s[32] + (49*s[33])/4 + 
       (33*s[34])/2 + (89*s[35])/2 + (863*s[36])/6 - (1169*s[37])/8 - 
       (6279*s[38])/4 + (48585*s[39])/8 - (159407*s[40])/24 + 
       (10317*s[41])/2 - (52699*s[42])/6 - (1333645*s[43])/264 + 
       (2831999*s[44])/528 - (881557*s[45])/176 + (22254719*s[46])/528 - 
       (3600079*s[47])/1584 + (94139*s[48])/1584 + (36359749*s[49])/1584 - 
       (4272119*s[50])/132 - (9665663*s[51])/1584 - (7687145*s[52])/1584 + 
       (35383765*s[53])/1584 - (243389*s[54])/264 + (24453839*s[55])/176 + 
       (56920681*s[56])/1584 - (111157127*s[57])/2376 + 
       (60239357*s[58])/891 - (982543799*s[59])/14256 - 
       (406248383*s[60])/1188 + (4442523835*s[61])/256608 + 2*s[65] + 
       8*s[66] - 16*s[67] - (17*s[68])/2 - (47*s[69])/2 - s[70] + 
       (13*s[71])/4 - 26*s[72] + 34*s[73] + (145*s[74])/4 - (145*s[75])/4 + 
       15*s[76] + 10*s[77] - 49*s[78] - 438*s[79] + (259*s[80])/4 + 
       537*s[82] - 6*s[83] - 216*s[84] + 24*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1}, 1 - v]*
      ((-139*s[2])/4 + (753*s[3])/8 - (5545*s[4])/16 - (69749*s[5])/88 - 
       (236197*s[6])/176 - (3887129*s[7])/352 + (3326863*s[8])/4752 + 
       (1049405*s[9])/108 + (311665*s[10])/108 + (37345675*s[11])/3168 + 
       (4872451*s[12])/396 + (23332729*s[13])/3168 + (8750671*s[14])/3168 + 
       (4366775*s[15])/288 + (14535385*s[16])/792 + (48192541*s[17])/3168 + 
       (192214*s[18])/81 + (1350383*s[19])/1296 + (326992907*s[20])/14256 + 
       (259328485*s[21])/28512 - (166684853*s[22])/28512 - 
       (8640605*s[23])/792 - (41211607*s[24])/3564 + (1832286779*s[25])/
        128304 - (1117654199*s[26])/128304 - 4*s[29] + (5*s[30])/2 - 
       22*s[31] + (7*s[32])/2 - 8*s[33] + (65*s[34])/2 + (13*s[35])/2 + 
       (253*s[36])/6 - (745*s[37])/12 - (829*s[38])/2 + (6499*s[39])/4 - 
       (20843*s[40])/12 + 1313*s[41] - (28147*s[42])/12 - 
       (180151*s[43])/132 + (678895*s[44])/528 - (399035*s[45])/264 + 
       (3093715*s[46])/264 - (1129925*s[47])/1584 + (689167*s[48])/1584 + 
       (8761031*s[49])/1584 - (578153*s[50])/66 - (2699233*s[51])/1584 - 
       (2306779*s[52])/1584 + (1270007*s[53])/198 - (36184*s[54])/33 + 
       (21011539*s[55])/528 + (5584235*s[56])/528 - (9134837*s[57])/792 + 
       (3265321*s[58])/176 - (30106223*s[59])/1584 - (872557595*s[60])/9504 + 
       (218494267*s[61])/42768 - s[62] - s[65] - 4*s[66] + 6*s[67] - 
       3*s[68] + 15*s[69] - 13*s[72] - 9*s[73] + (25*s[74])/4 - 
       (27*s[75])/4 + 18*s[76] + (9*s[77])/2 - 5*s[78] - 60*s[79] - 
       (49*s[80])/6 + 690*s[82] - 9*s[83] - 24*s[84] + 24*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 1 - u]*
      ((-31*s[2])/4 + (107*s[3])/8 - (2919*s[4])/16 - (44573*s[5])/88 - 
       (142519*s[6])/176 - (6735745*s[7])/1056 + (1658365*s[8])/4752 + 
       (150971*s[9])/27 + (88613*s[10])/54 + (21266881*s[11])/3168 + 
       (1370663*s[12])/198 + (13120051*s[13])/3168 + (5445613*s[14])/3168 + 
       (2541269*s[15])/288 + (8224999*s[16])/792 + (28062391*s[17])/3168 + 
       (448207*s[18])/324 + (858197*s[19])/1296 + (187182089*s[20])/14256 + 
       (149435815*s[21])/28512 - (94115519*s[22])/28512 - 
       (4640897*s[23])/792 - (23993053*s[24])/3564 + (1046095565*s[25])/
        128304 - (647136401*s[26])/128304 - 4*s[29] + (5*s[30])/2 - 6*s[31] - 
       3*s[32] + 10*s[33] + (19*s[34])/2 + (13*s[35])/2 + (5*s[36])/2 - 
       (457*s[37])/12 - (491*s[38])/2 + 868*s[39] - (1801*s[40])/2 + 
       (2709*s[41])/4 - (2343*s[42])/2 - (8172*s[43])/11 + 
       (107781*s[44])/176 - (248801*s[45])/264 + (1721363*s[46])/264 - 
       (222943*s[47])/528 + (113657*s[48])/528 + (1482037*s[49])/528 - 
       (102351*s[50])/22 - (466919*s[51])/528 - (457829*s[52])/528 + 
       (1418603*s[53])/396 - (85495*s[54])/66 + (11739071*s[55])/528 + 
       (9503521*s[56])/1584 - (10638743*s[57])/2376 + 
       (140353517*s[58])/14256 - (142485059*s[59])/14256 - 
       (53425351*s[60])/1056 + (372244613*s[61])/128304 - 4*s[63] - s[65] - 
       4*s[66] + 4*s[67] - 3*s[68] + 15*s[69] + s[71] + 5*s[72] - 27*s[73] + 
       (23*s[74])/4 + (7*s[75])/4 + s[76] - (9*s[77])/2 + 9*s[78] - 
       (37*s[80])/6 + 690*s[82] - 9*s[83] - 24*s[84] + 24*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      (-8*s[2] - (187*s[3])/4 + (359*s[4])/8 - (1165*s[5])/66 - 
       (9751*s[6])/264 + (810433*s[7])/4752 - (729145*s[8])/7128 - 
       (13027*s[9])/81 + (5665*s[10])/81 - (952321*s[11])/4752 - 
       (868171*s[12])/2376 - (266423*s[13])/1584 + (1157393*s[14])/4752 - 
       (1463*s[15])/48 - (19105*s[16])/132 + (1059169*s[17])/4752 - 
       (89999*s[18])/972 + (269707*s[19])/1944 - (3509309*s[20])/21384 - 
       (908041*s[21])/42768 + (5194481*s[22])/42768 + (962375*s[23])/792 - 
       (3550073*s[24])/21384 - (31564069*s[25])/96228 + 
       (11381875*s[26])/96228 - (10*s[29])/3 + 2*s[30] - (8*s[31])/3 - 
       (4*s[32])/3 - (13*s[33])/12 + (8*s[34])/3 - s[35]/3 - (115*s[36])/9 - 
       (3*s[37])/2 + (56*s[38])/3 - (544*s[39])/3 + (1882*s[40])/9 - 
       (351*s[41])/2 + (2708*s[42])/9 + (10091*s[43])/99 - 
       (127693*s[44])/792 + (7019*s[45])/44 - (553373*s[46])/396 + 
       (257465*s[47])/2376 - (197407*s[48])/2376 - (1415411*s[49])/2376 + 
       (227089*s[50])/198 + (531769*s[51])/2376 + (360133*s[52])/2376 - 
       (472799*s[53])/594 - (2246*s[54])/99 - (1288609*s[55])/264 - 
       (3123509*s[56])/2376 + (1459558*s[57])/891 - (48755629*s[58])/21384 + 
       (48635659*s[59])/21384 + (155553095*s[60])/14256 - 
       (128681785*s[61])/192456 - (2*s[65])/3 - (8*s[66])/3 + (14*s[67])/3 + 
       (11*s[68])/3 + (23*s[69])/3 + (2*s[70])/3 + (2*s[71])/3 + 
       (14*s[72])/3 - (28*s[73])/3 - (7*s[74])/2 + (7*s[75])/2 + 
       (4*s[76])/3 - (10*s[77])/3 + (26*s[78])/3 + 32*s[79] - (37*s[80])/3 + 
       92*s[82] + 2*s[83] + 8*s[84] + 24*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      (2*s[2] + 12*s[3] + (343*s[4])/6 - (5109*s[5])/176 + (22889*s[6])/176 + 
       (223405*s[7])/1584 - (154807*s[8])/4752 - (31175*s[9])/432 + 
       (47627*s[10])/432 - (497483*s[11])/1584 - (463097*s[12])/792 - 
       (579121*s[13])/1584 + (142999*s[14])/1584 + (9827*s[15])/18 + 
       (2557*s[16])/792 + (80023*s[17])/132 - (329353*s[18])/1296 + 
       (21148*s[19])/81 - (318119*s[20])/3564 - (302575*s[21])/7128 + 
       (1118479*s[22])/14256 + (1746815*s[23])/1584 - (2481263*s[24])/14256 - 
       (107450617*s[25])/256608 + (48060589*s[26])/256608 - (33*s[33])/8 + 
       (11*s[34])/2 + (17*s[35])/2 - 10*s[36] - (5*s[37])/8 + (119*s[38])/4 - 
       (1021*s[39])/6 + (650*s[40])/3 - (4429*s[41])/24 + (5707*s[42])/24 + 
       (2593*s[43])/33 - (6829*s[44])/44 + (17485*s[45])/528 - 
       (132873*s[46])/176 + (85501*s[47])/792 - (26501*s[48])/792 - 
       (313945*s[49])/792 + (15130*s[50])/33 + (15073*s[51])/66 + 
       (21946*s[52])/99 - (157681*s[53])/1584 + (24017*s[54])/88 - 
       (375077*s[55])/792 - (43051*s[56])/66 + (3059351*s[57])/792 - 
       (3223057*s[58])/1584 + (179585*s[59])/132 + (45492929*s[60])/9504 - 
       (30088277*s[61])/85536 + s[62]/4 + (13*s[71])/4 - 4*s[76] + 28*s[79] - 
       (117*s[80])/4 + 162*s[82] + 12*s[84] + 24*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      (10*s[2] + (23*s[3])/4 + (3527*s[4])/24 + (8347*s[5])/44 + 
       (36591*s[6])/88 + (1819379*s[7])/528 - (166577*s[8])/792 - 
       (53605*s[9])/18 - (17705*s[10])/18 - (663793*s[11])/176 - 
       (355441*s[12])/88 - (1290055*s[13])/528 - (131799*s[14])/176 - 
       (219761*s[15])/48 - (768763*s[16])/132 - (2456557*s[17])/528 - 
       (35813*s[18])/54 - (102139*s[19])/216 - (8476169*s[20])/1188 - 
       (12901067*s[21])/4752 + (8702131*s[22])/4752 + (851195*s[23])/264 + 
       (9019721*s[24])/2376 - (99007309*s[25])/21384 + 
       (57599011*s[26])/21384 + 2*s[31] + (5*s[32])/2 + (29*s[33])/4 - 
       6*s[34] - s[35] - (13*s[36])/3 + (15*s[37])/2 + (695*s[38])/6 - 
       (1717*s[39])/4 + (5863*s[40])/12 - (4651*s[41])/12 + (7207*s[42])/12 + 
       (54595*s[43])/132 - (18363*s[44])/44 + (5585*s[45])/11 - 
       (498415*s[46])/132 + (18943*s[47])/198 + (64847*s[48])/396 - 
       (374179*s[49])/198 + (189697*s[50])/66 + (166097*s[51])/396 + 
       (34054*s[52])/99 - (44269*s[53])/22 + (3121*s[54])/33 - 
       (1674985*s[55])/132 - (327391*s[56])/99 + (1627343*s[57])/594 - 
       (5112641*s[58])/891 + (20411027*s[59])/3564 + (37346161*s[60])/1188 - 
       (105479029*s[61])/64152 + 2*s[67] + 2*s[69] + 2*s[72] - 2*s[73] - 
       (3*s[74])/2 + (3*s[75])/2 - 6*s[76] - s[77] + 2*s[78] + 40*s[79] - 
       9*s[80] + 162*s[82] + 12*s[84] + 24*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*
      (-18*s[2] + 47*s[3] + (201*s[4])/2 - (17*s[5])/88 + (7493*s[6])/88 + 
       (79873*s[7])/99 - (38737*s[8])/792 - (43217*s[9])/72 - 
       (29101*s[10])/72 - (202885*s[11])/264 - (87869*s[12])/132 - 
       (215233*s[13])/792 - (84421*s[14])/264 - (104765*s[15])/72 - 
       (1304533*s[16])/792 - (690007*s[17])/396 - (30527*s[18])/216 - 
       (28901*s[19])/108 - (2312681*s[20])/1188 - (262921*s[21])/396 + 
       (906613*s[22])/2376 + (133747*s[23])/396 + (611791*s[24])/594 - 
       (1408069*s[25])/1584 + (888653*s[26])/1584 - (3*s[27])/2 + s[30] - 
       15*s[31] - s[33] + 15*s[34] + 22*s[35] - (19*s[36])/3 - 
       (383*s[37])/12 - 42*s[38] + 83*s[39] - (170*s[40])/3 - 14*s[41] - 
       (280*s[42])/3 - (1486*s[43])/33 + (4613*s[44])/264 + 
       (19229*s[45])/264 - (28113*s[46])/88 - (8768*s[47])/99 + 
       (9118*s[48])/99 + (12535*s[49])/198 + (29971*s[50])/66 - 
       (3964*s[51])/99 - (57773*s[52])/792 - (76715*s[53])/264 - 
       (5023*s[54])/22 - (23444*s[55])/11 - (163487*s[56])/396 - 
       (2276539*s[57])/1188 + (739879*s[58])/7128 - (82345*s[59])/1782 + 
       (17670407*s[60])/4752 - (32236099*s[61])/128304 + (7*s[62])/2 - 
       2*s[68] + 6*s[69] + 2*s[70] + 2*s[72] - 2*s[73] - (5*s[74])/2 + 
       (5*s[75])/2 + 13*s[76] - 3*s[77] - 9*s[78] + 38*s[79] - 
       (131*s[80])/6 + 24*s[82] + 24*s[84] + 24*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      (-18*s[2] + 31*s[3] + (289*s[4])/3 + (741*s[5])/22 + (14941*s[6])/132 + 
       (1014755*s[7])/792 - (114035*s[8])/1188 - (54323*s[9])/54 - 
       (62921*s[10])/108 - (934607*s[11])/792 - (799123*s[12])/792 - 
       (61339*s[13])/132 - (90527*s[14])/198 - (166241*s[15])/72 - 
       (657829*s[16])/264 - (2109721*s[17])/792 - (46223*s[18])/324 - 
       (69839*s[19])/162 - (10298719*s[20])/3564 - (3341989*s[21])/3564 + 
       (1100047*s[22])/1782 + (43849*s[23])/132 + (1464260*s[24])/891 - 
       (91435955*s[25])/64152 + (52413089*s[26])/64152 - (5*s[27])/3 + 
       s[30] - 15*s[31] - s[33] + 15*s[34] + 22*s[35] - (77*s[36])/18 - 
       (251*s[37])/9 - 50*s[38] + (1937*s[39])/24 - (4567*s[40])/72 - 
       (179*s[41])/24 - (5195*s[42])/72 - (21749*s[43])/792 + 
       (33145*s[44])/1584 + (67525*s[45])/396 - (214777*s[46])/264 - 
       (357317*s[47])/4752 + (215761*s[48])/4752 + (155255*s[49])/4752 + 
       (184579*s[50])/198 + (42257*s[51])/4752 - (445231*s[52])/4752 - 
       (564655*s[53])/792 - (5923*s[54])/33 - (2518825*s[55])/528 - 
       (4199651*s[56])/4752 - (2910235*s[57])/891 - (7058641*s[58])/42768 + 
       (16004155*s[59])/42768 + (226596643*s[60])/28512 - 
       (209730085*s[61])/384912 + (11*s[62])/3 - 2*s[68] + 6*s[69] + 
       2*s[70] + 2*s[72] - 2*s[73] - (5*s[74])/2 + (5*s[75])/2 + 17*s[76] - 
       3*s[77] - 9*s[78] + (110*s[79])/3 - (223*s[80])/9 + 72*s[82] + 
       24*s[84] + 24*s[85]) + HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*
      ((-53*s[2])/4 + (2741*s[3])/48 + (35143*s[4])/96 - (9691*s[5])/96 + 
       (671*s[6])/4 + (3530531*s[7])/1728 - (164339*s[8])/432 - 
       (1316845*s[9])/864 - (167465*s[10])/864 - (481949*s[11])/192 - 
       (946933*s[12])/288 - (3611893*s[13])/1728 + (61951*s[14])/64 - 
       (3617725*s[15])/1728 - (2712923*s[16])/864 - (2182037*s[17])/1728 - 
       (159593*s[18])/864 - (126893*s[19])/288 - (2492477*s[20])/864 - 
       (2568089*s[21])/5184 + (5465375*s[22])/5184 + (3980461*s[23])/864 + 
       (5508895*s[24])/2592 - (180209195*s[25])/46656 + 
       (67630067*s[26])/46656 + (3*s[27])/8 + (3*s[28])/8 - (17*s[29])/4 + 
       (16*s[30])/3 - (91*s[31])/12 - (35*s[32])/6 - (637*s[33])/48 + 
       (49*s[34])/6 + (35*s[35])/12 - (583*s[36])/72 + (3527*s[37])/144 + 
       140*s[38] - (15145*s[39])/32 + (160789*s[40])/288 - (41263*s[41])/96 + 
       (194465*s[42])/288 + (1465031*s[43])/3168 - (2957269*s[44])/6336 + 
       (1612573*s[45])/3168 - (331335*s[46])/88 + (2727563*s[47])/19008 + 
       (2930249*s[48])/19008 - (38116505*s[49])/19008 + (2278571*s[50])/792 + 
       (9266665*s[51])/19008 + (7544767*s[52])/19008 - (504961*s[53])/264 - 
       (263*s[54])/11 - (78186367*s[55])/6336 - (62074231*s[56])/19008 + 
       (27664139*s[57])/7128 - (1032445835*s[58])/171072 + 
       (1033716743*s[59])/171072 + (3591713429*s[60])/114048 - 
       (1203141625*s[61])/769824 - 3*s[63] + (5*s[64])/8 + (5*s[65])/6 - 
       (7*s[66])/6 + (5*s[67])/6 + (13*s[68])/6 - 3*s[69] + (137*s[70])/6 - 
       (35*s[71])/12 + s[72]/6 - 2*s[73] - (7*s[74])/24 + (37*s[75])/24 + 
       (19*s[76])/6 - (331*s[77])/12 - (7*s[78])/6 + (194*s[79])/3 - 
       (433*s[80])/72 + 88*s[82] - (5*s[83])/2 + 37*s[84] + 24*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      (4*s[2] - (65*s[3])/2 + (1973*s[4])/6 + (9935*s[5])/44 + 
       (12987*s[6])/22 + (4262603*s[7])/792 - (130849*s[8])/297 - 
       (498587*s[9])/108 - (147919*s[10])/108 - (2342801*s[11])/396 - 
       (5153969*s[12])/792 - (3091505*s[13])/792 - (517261*s[14])/792 - 
       (500941*s[15])/72 - (884566*s[16])/99 - (295203*s[17])/44 - 
       (85021*s[18])/81 - (207677*s[19])/324 - (38044925*s[20])/3564 - 
       (27772471*s[21])/7128 + (20436881*s[22])/7128 + (5162035*s[23])/792 + 
       (40066775*s[24])/7128 - (481146145*s[25])/64152 + 
       (265902019*s[26])/64152 - 2*s[30] + 2*s[31] + (7*s[33])/4 - 7*s[34] + 
       s[35]/3 - (27*s[36])/2 - 7*s[37] + 194*s[38] - (20365*s[39])/24 + 
       (23281*s[40])/24 - (6507*s[41])/8 + (10003*s[42])/8 + 
       (199963*s[43])/264 - (430853*s[44])/528 + (9217*s[45])/11 - 
       (1807109*s[46])/264 + (384229*s[47])/1584 + (220747*s[48])/1584 - 
       (5457427*s[49])/1584 + (355121*s[50])/66 + (158567*s[51])/176 + 
       (1074671*s[52])/1584 - (2916809*s[53])/792 + (7115*s[54])/66 - 
       (36774347*s[55])/1584 - (9615841*s[56])/1584 + (6960043*s[57])/1188 - 
       (150032255*s[58])/14256 + (152201957*s[59])/14256 + 
       (533762773*s[60])/9504 - (380137847*s[61])/128304 - 6*s[68] + 
       6*s[69] - 2*s[71] + 4*s[72] - (16*s[74])/3 + (16*s[75])/3 + 
       (4*s[76])/3 - (20*s[77])/3 - s[78] + 108*s[79] - 24*s[80] - 42*s[82] + 
       48*s[84] + 24*s[85]) + HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      ((-17*s[2])/2 - (593*s[3])/4 - (5731*s[4])/24 - (832*s[5])/11 - 
       (2832*s[6])/11 - (1080857*s[7])/528 + (69935*s[8])/198 + 
       (104521*s[9])/72 + (5279*s[10])/18 + (71827*s[11])/33 + 
       (1313447*s[12])/528 + (735689*s[13])/528 - (113933*s[14])/528 + 
       (134143*s[15])/48 + (870625*s[16])/264 + (664955*s[17])/264 + 
       (124565*s[18])/216 + (23423*s[19])/108 + (8333293*s[20])/2376 + 
       (5562713*s[21])/4752 - (4301743*s[22])/4752 - (1969559*s[23])/528 - 
       (7570807*s[24])/4752 + (131849897*s[25])/42768 - 
       (67241885*s[26])/42768 - 17*s[30] - 12*s[31] - (15*s[32])/2 - 
       (25*s[33])/2 + 27*s[34] + 7*s[35] + 41*s[36] - (109*s[37])/12 - 
       (14*s[38])/3 + (613*s[39])/4 - (257*s[40])/4 - (203*s[41])/6 - 
       (802*s[42])/3 + (7619*s[43])/132 - (13493*s[44])/264 - 
       (51809*s[45])/264 + (223441*s[46])/264 - (285007*s[47])/792 + 
       (480791*s[48])/792 - (243131*s[49])/792 - (11637*s[50])/44 - 
       (62839*s[51])/264 - (204689*s[52])/792 + (137785*s[53])/264 - 
       (59179*s[54])/66 + (242537*s[55])/88 + (1148951*s[56])/792 - 
       (1758505*s[57])/1188 + (6067307*s[58])/3564 - (10521859*s[59])/7128 - 
       (396850*s[60])/297 + (109261895*s[61])/128304 + (15*s[65])/2 + 
       12*s[66] - 14*s[67] - 12*s[68] - 32*s[69] + 17*s[70] - 6*s[71] - 
       8*s[72] + 2*s[73] + 12*s[74] - (27*s[75])/2 + 38*s[76] - 4*s[77] - 
       42*s[78] + 212*s[79] - (481*s[80])/6 + 270*s[82] - 27*s[83] + 
       66*s[84] + 24*s[85]) + HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      (6*s[2] - (79*s[3])/4 + (3515*s[4])/24 + (751*s[5])/11 + 
       (16529*s[6])/44 + (434465*s[7])/176 - (33791*s[8])/396 - 
       (153755*s[9])/72 - (22883*s[10])/36 - (200749*s[11])/66 - 
       (1860073*s[12])/528 - (1308919*s[13])/528 - (56723*s[14])/176 - 
       (120049*s[15])/48 - (1049867*s[16])/264 - (216795*s[17])/88 - 
       (44845*s[18])/216 - (62827*s[19])/108 - (11128493*s[20])/2376 - 
       (7787047*s[21])/4752 + (6551645*s[22])/4752 + (825953*s[23])/528 + 
       (15213257*s[24])/4752 - (166445857*s[25])/42768 + 
       (84449269*s[26])/42768 - 3*s[30] - 2*s[31] - 2*s[32] - (37*s[33])/4 + 
       7*s[34] - s[36]/3 + (221*s[37])/12 + (269*s[38])/2 - (5437*s[39])/12 + 
       (6725*s[40])/12 - (5197*s[41])/12 + (2373*s[42])/4 + 
       (63715*s[43])/132 - (151099*s[44])/264 + (50635*s[45])/264 - 
       (674359*s[46])/264 + (27517*s[47])/792 + (351907*s[48])/792 - 
       (1777981*s[49])/792 + (62773*s[50])/33 + (268963*s[51])/792 + 
       (240425*s[52])/792 - (235435*s[53])/264 - (60287*s[54])/132 - 
       (4551517*s[55])/792 - (1229435*s[56])/792 + (6847861*s[57])/1188 - 
       (4315793*s[58])/891 + (31440901*s[59])/7128 + (54580379*s[60])/2376 - 
       (94300997*s[61])/128304 - 2*s[67] - 2*s[69] + 6*s[70] + (3*s[71])/2 + 
       2*s[72] - 8*s[73] + (9*s[74])/2 - 6*s[75] + 6*s[76] + 2*s[77] - 
       16*s[78] + 100*s[79] - (111*s[80])/2 + 270*s[82] - 27*s[83] + 
       66*s[84] + 24*s[85]) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*((385*s[2])/48 + (2981*s[3])/96 + 
       (442861*s[4])/576 + (1435897*s[5])/3168 + (2560757*s[6])/2112 + 
       (146247473*s[7])/12672 - (59082637*s[8])/57024 - (3133979*s[9])/324 - 
       (7709327*s[10])/2592 - (484023565*s[11])/38016 - 
       (267504493*s[12])/19008 - (318911941*s[13])/38016 - 
       (37629943*s[14])/38016 - (1957271*s[15])/128 - 
       (370574429*s[16])/19008 - (559369303*s[17])/38016 - 
       (15922673*s[18])/7776 - (27755393*s[19])/15552 - 
       (3871022663*s[20])/171072 - (2749650985*s[21])/342144 + 
       (2074632077*s[22])/342144 + (67536001*s[23])/4752 + 
       (1074162167*s[24])/85536 - (789850861*s[25])/48114 + 
       (212195348*s[26])/24057 + s[27]/6 - (19*s[29])/6 + (67*s[30])/24 + 
       s[31]/3 - (73*s[32])/24 + (65*s[33])/12 - (31*s[34])/8 - 
       (111*s[35])/8 - (677*s[36])/18 + (2305*s[37])/72 + (29333*s[38])/72 - 
       (490925*s[39])/288 + (542101*s[40])/288 - (423059*s[41])/288 + 
       (178981*s[42])/72 + (4569403*s[43])/3168 - (9807977*s[44])/6336 + 
       (212075*s[45])/132 - (40913369*s[46])/3168 + (3838969*s[47])/6336 + 
       (148321*s[48])/2112 - (42415885*s[49])/6336 + (15791075*s[50])/1584 + 
       (31631195*s[51])/19008 + (8482345*s[52])/6336 - 
       (65771335*s[53])/9504 + (104447*s[54])/1584 - (826610953*s[55])/
        19008 - (215817325*s[56])/19008 + (22769597*s[57])/1782 - 
       (3494064107*s[58])/171072 + (3560148281*s[59])/171072 + 
       (1332591473*s[60])/12672 - (8578709573*s[61])/1539648 - (2*s[65])/3 - 
       (8*s[66])/3 + (9*s[67])/2 + (5*s[68])/3 + (16*s[69])/3 + (3*s[70])/2 + 
       s[71]/6 + (101*s[72])/12 - (95*s[73])/12 - (439*s[74])/48 + 
       (439*s[75])/48 - (67*s[76])/12 - (73*s[77])/24 + (63*s[78])/4 + 
       122*s[79] - (227*s[80])/12 + (803*s[82])/6 + 2*s[83] + (117*s[84])/2 + 
       25*s[85]) + HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u]*
      ((-305*s[2])/36 - (4133*s[3])/144 + (136657*s[4])/288 + 
       (1202437*s[5])/3168 + (1482515*s[6])/1584 + (498864431*s[7])/57024 - 
       (14237563*s[8])/21384 - (58210685*s[9])/7776 - (18275959*s[10])/7776 - 
       (551713531*s[11])/57024 - (151419623*s[12])/14256 - 
       (368302553*s[13])/57024 - (69727579*s[14])/57024 - 
       (59246275*s[15])/5184 - (418322101*s[16])/28512 - 
       (210984505*s[17])/19008 - (37205287*s[18])/23328 - 
       (29693453*s[19])/23328 - (4494744335*s[20])/256608 - 
       (3270628303*s[21])/513216 + (2395862801*s[22])/513216 + 
       (134754475*s[23])/14256 + (621162961*s[24])/64152 - 
       (56491285819*s[25])/4618944 + (31178696863*s[26])/4618944 + 
       (3*s[27])/8 + (19*s[28])/8 + (29*s[29])/12 + s[30]/6 + 
       (103*s[31])/36 - (283*s[32])/72 - (1457*s[33])/144 - (26*s[34])/9 - 
       (47*s[35])/36 - (5225*s[36])/216 + (10649*s[37])/432 + 
       (12847*s[38])/36 - (358373*s[39])/288 + (1217963*s[40])/864 - 
       (320713*s[41])/288 + (1535353*s[42])/864 + (11160793*s[43])/9504 - 
       (22285247*s[44])/19008 + (11136127*s[45])/9504 - (5562263*s[46])/594 + 
       (20954209*s[47])/57024 + (17402947*s[48])/57024 - 
       (292344847*s[49])/57024 + (8482481*s[50])/1188 + 
       (70409519*s[51])/57024 + (57965189*s[52])/57024 - 
       (34299415*s[53])/7128 + (156631*s[54])/2376 - (582114689*s[55])/
        19008 - (153780611*s[56])/19008 + (7685581*s[57])/792 - 
       (2552773139*s[58])/171072 + (2581102775*s[59])/171072 + 
       (26491199587*s[60])/342144 - (2953676537*s[61])/769824 - 2*s[63] + 
       (5*s[64])/8 + (10*s[65])/9 - s[66]/18 - (7*s[67])/18 + (28*s[68])/9 - 
       (44*s[69])/9 + (401*s[70])/18 - (175*s[71])/36 + (35*s[72])/18 - 
       (79*s[74])/24 + (109*s[75])/24 - (67*s[76])/18 - (833*s[77])/36 + 
       (11*s[78])/18 + (1148*s[79])/9 - (1039*s[80])/216 - 23*s[82] - 
       (10*s[83])/3 + 76*s[84] + (76*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*
      ((17*s[2])/2 - (557*s[3])/48 + (67369*s[4])/96 + (26995*s[5])/66 + 
       (1226953*s[6])/1056 + (10806491*s[7])/1056 - (363685*s[8])/396 - 
       (2477725*s[9])/288 - (699809*s[10])/288 - (6001855*s[11])/528 - 
       (1117135*s[12])/88 - (4071145*s[13])/528 - (443567*s[14])/528 - 
       (3774475*s[15])/288 - (5975147*s[16])/352 - (13127291*s[17])/1056 - 
       (103499*s[18])/54 - (566255*s[19])/432 - (94075343*s[20])/4752 - 
       (33860705*s[21])/4752 + (12835805*s[22])/2376 + 
       (14063161*s[23])/1056 + (103134425*s[24])/9504 - 
       (313812919*s[25])/21384 + (84554861*s[26])/10692 + (19*s[30])/12 + 
       (43*s[31])/6 - (25*s[32])/24 + (163*s[33])/48 - (67*s[34])/12 - 
       (151*s[35])/18 - (2215*s[36])/72 + (805*s[37])/18 + (9503*s[38])/24 - 
       (469595*s[39])/288 + (174925*s[40])/96 - (415387*s[41])/288 + 
       (228881*s[42])/96 + (44399*s[43])/32 - (46747*s[44])/32 + 
       (53591*s[45])/36 - (3505937*s[46])/288 + (521633*s[47])/864 + 
       (30109*s[48])/432 - (2686237*s[49])/432 + (73803*s[50])/8 + 
       (1378033*s[51])/864 + (293659*s[52])/216 - (5523811*s[53])/864 + 
       (69667*s[54])/144 - (1448681*s[55])/36 - (796195*s[56])/72 + 
       (3891127*s[57])/288 - (51070669*s[58])/2592 + (51328777*s[59])/2592 + 
       (127300043*s[60])/1296 - (123203465*s[61])/23328 + (23*s[68])/6 - 
       (23*s[69])/6 + (5*s[70])/6 - (19*s[71])/24 + (19*s[72])/3 - 4*s[73] - 
       (64*s[74])/9 + (64*s[75])/9 - (98*s[76])/9 + (13*s[77])/9 + 
       (19*s[78])/2 + (949*s[79])/6 - (71*s[80])/2 + (203*s[82])/6 + 
       76*s[84] + (80*s[85])/3) + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]^2*
      ((5*s[2])/2 + (193*s[3])/8 + (12611*s[4])/24 + (68543*s[5])/264 + 
       (103649*s[6])/132 + (69116143*s[7])/9504 - (9768505*s[8])/14256 - 
       (3925171*s[9])/648 - (2317867*s[10])/1296 - (19162813*s[11])/2376 - 
       (42790183*s[12])/4752 - (8593207*s[13])/1584 - (2172101*s[14])/4752 - 
       (2725417*s[15])/288 - (4286393*s[16])/352 - (42736105*s[17])/4752 - 
       (5028625*s[18])/3888 - (1061447*s[19])/972 - (37466141*s[20])/2673 - 
       (104671903*s[21])/21384 + (81520457*s[22])/21384 + 
       (29929705*s[23])/3168 + (667105133*s[24])/85536 - 
       (8090385691*s[25])/769824 + (4261389799*s[26])/769824 - (13*s[29])/6 + 
       (11*s[30])/4 + (5*s[31])/3 - s[32]/6 + (121*s[33])/48 - 
       (47*s[34])/12 - (17*s[35])/3 - (221*s[36])/9 + (647*s[37])/24 + 
       (3221*s[38])/12 - (4461*s[39])/4 + (44561*s[40])/36 - 
       (23219*s[41])/24 + (58375*s[42])/36 + (371797*s[43])/396 - 
       (3242051*s[44])/3168 + (553955*s[45])/528 - (13421191*s[46])/1584 + 
       (3795031*s[47])/9504 + (587695*s[48])/9504 - (41207809*s[49])/9504 + 
       (5147801*s[50])/792 + (10522427*s[51])/9504 + (8448371*s[52])/9504 - 
       (1337030*s[53])/297 + (30457*s[54])/198 - (89832167*s[55])/3168 - 
       (71640907*s[56])/9504 + (60661099*s[57])/7128 - 
       (1149457901*s[58])/85536 + (1162436243*s[59])/85536 + 
       (3918932137*s[60])/57024 - (2826210983*s[61])/769824 - (7*s[65])/12 - 
       (7*s[66])/3 + (10*s[67])/3 + (7*s[68])/3 + (13*s[69])/3 + s[70]/3 + 
       s[71]/12 + (19*s[72])/3 - (14*s[73])/3 - (13*s[74])/2 + (13*s[75])/2 - 
       (19*s[76])/3 - (8*s[77])/3 + (65*s[78])/6 + 94*s[79] - 
       (247*s[80])/12 + 94*s[82] + (7*s[83])/4 + (83*s[84])/2 + 28*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Omega2[u, v, w]*
      ((101*s[2])/12 + (757*s[3])/24 + (27595*s[4])/48 + (51169*s[5])/132 + 
       (541765*s[6])/528 + (88387055*s[7])/9504 - (11338099*s[8])/14256 - 
       (5053675*s[9])/648 - (1603967*s[10])/648 - (96893149*s[11])/9504 - 
       (26479877*s[12])/2376 - (63444827*s[13])/9504 - 
       (10801501*s[14])/9504 - (10752157*s[15])/864 - (4681912*s[16])/297 - 
       (4295725*s[17])/352 - (3195197*s[18])/1944 - (5686817*s[19])/3888 - 
       (788351825*s[20])/42768 - (562714531*s[21])/85536 + 
       (416410559*s[22])/85536 + (3158072*s[23])/297 + 
       (218888465*s[24])/21384 - (313909649*s[25])/24057 + 
       (682466495*s[26])/96228 - 2*s[29] + (3*s[30])/2 + (2*s[31])/3 - 
       (10*s[32])/3 - (31*s[33])/12 - (11*s[34])/6 - (53*s[35])/6 - 
       (206*s[36])/9 + (292*s[37])/9 + (1711*s[38])/6 - (29479*s[39])/24 + 
       (98749*s[40])/72 - (25673*s[41])/24 + (129221*s[42])/72 + 
       (824243*s[43])/792 - (897227*s[44])/792 + (121045*s[45])/99 - 
       (7647337*s[46])/792 + (1079641*s[47])/2376 + (18131*s[48])/297 - 
       (11365987*s[49])/2376 + (733684*s[50])/99 + (372670*s[51])/297 + 
       (292258*s[52])/297 - (6130543*s[53])/1188 + (26239*s[54])/99 - 
       (12926641*s[55])/396 - (2291557*s[56])/264 + (21383089*s[57])/2376 - 
       (108056671*s[58])/7128 + (27275335*s[59])/1782 + 
       (1117586713*s[60])/14256 - (182056349*s[61])/42768 - s[65]/3 - 
       (4*s[66])/3 + (8*s[67])/3 + (8*s[68])/3 + (8*s[69])/3 - s[70]/3 + 
       s[71]/3 + (17*s[72])/3 - 3*s[73] - (27*s[74])/4 + (27*s[75])/4 - 
       (13*s[76])/3 - (5*s[77])/6 + (35*s[78])/3 + (340*s[79])/3 - 
       (295*s[80])/9 + 136*s[82] + s[83] + 42*s[84] + 28*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Omega2[w, u, v]*
      ((31*s[2])/4 + (231*s[3])/8 + (14249*s[4])/16 + (49239*s[5])/88 + 
       (265857*s[6])/176 + (42754493*s[7])/3168 - (5437051*s[8])/4752 - 
       (612271*s[9])/54 - (368017*s[10])/108 - (47184439*s[11])/3168 - 
       (6496351*s[12])/396 - (31525469*s[13])/3168 - (4217875*s[14])/3168 - 
       (5119147*s[15])/288 - (17933735*s[16])/792 - (18073291*s[17])/1056 - 
       (783265*s[18])/324 - (2591375*s[19])/1296 - (375881843*s[20])/14256 - 
       (269432089*s[21])/28512 + (202110137*s[22])/28512 + 
       (13009603*s[23])/792 + (52174429*s[24])/3564 - 
       (2460656027*s[25])/128304 + (1328132891*s[26])/128304 + 2*s[29] + 
       (5*s[30])/2 + 6*s[31] + s[32] + (25*s[33])/4 - (19*s[34])/2 - 
       (21*s[35])/2 - (247*s[36])/6 + (457*s[37])/12 + (1029*s[38])/2 - 
       (8109*s[39])/4 + (26933*s[40])/12 - 1761*s[41] + (35089*s[42])/12 + 
       (233701*s[43])/132 - (979507*s[44])/528 + (506081*s[45])/264 - 
       (4066609*s[46])/264 + (1070621*s[47])/1584 + (312809*s[48])/1584 - 
       (12603047*s[49])/1584 + (388633*s[50])/33 + (3178513*s[51])/1584 + 
       (2573695*s[52])/1584 - (3232015*s[53])/396 + (24611*s[54])/66 - 
       (27230075*s[55])/528 - (2408553*s[56])/176 + (11927653*s[57])/792 - 
       (115618247*s[58])/4752 + (117301037*s[59])/4752 + 
       (1191613919*s[60])/9504 - (93908299*s[61])/14256 - 2*s[67] - s[68] - 
       3*s[69] - 3*s[70] - 2*s[71] + 7*s[72] + 5*s[73] - (39*s[74])/4 + 
       (39*s[75])/4 - 17*s[76] + (3*s[77])/2 + 11*s[78] + 168*s[79] - 
       (95*s[80])/6 + 5*s[82] + 84*s[84] + 28*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((-115*s[2])/4 + (263*s[3])/8 + (9165*s[4])/16 - (22563*s[5])/88 + 
       (1149*s[6])/176 + (1700183*s[7])/1056 - (868553*s[8])/1584 - 
       (36775*s[9])/36 + (5059*s[10])/36 - (2211137*s[11])/1056 - 
       (806341*s[12])/264 - (720741*s[13])/352 + (2298679*s[14])/1056 - 
       (155801*s[15])/96 - (220189*s[16])/88 - (452863*s[17])/1056 + 
       (15943*s[18])/108 - (252409*s[19])/432 - (4356205*s[20])/4752 + 
       (6294901*s[21])/9504 + (7901419*s[22])/9504 + (148513*s[23])/22 + 
       (3119191*s[24])/2376 - (168130165*s[25])/42768 + 
       (37401493*s[26])/42768 + s[27] - 4*s[29] + (19*s[30])/2 - 4*s[31] - 
       s[32] + (143*s[33])/4 - (9*s[34])/2 - (17*s[35])/2 - (89*s[36])/2 + 
       (865*s[37])/12 + (953*s[38])/2 - 2070*s[39] + (4607*s[40])/2 - 
       (7165*s[41])/4 + (6109*s[42])/2 + (17240*s[43])/11 - 
       (328891*s[44])/176 + (422369*s[45])/264 - (3730907*s[46])/264 + 
       (448397*s[47])/528 - (110755*s[48])/528 - (4034735*s[49])/528 + 
       (122139*s[50])/11 + (1092173*s[51])/528 + (848755*s[52])/528 - 
       (750869*s[53])/99 - (11207*s[54])/66 - (8279455*s[55])/176 - 
       (19091299*s[56])/1584 + (40914287*s[57])/2376 - 
       (328858619*s[58])/14256 + (335056793*s[59])/14256 + 
       (362272891*s[60])/3168 - (736858385*s[61])/128304 - 2*s[65] - 
       6*s[66] + 15*s[67] - 4*s[68] + 25*s[69] - 10*s[70] + 3*s[71] + 
       13*s[72] - 29*s[73] - (75*s[74])/4 + (71*s[75])/4 - 22*s[76] - 
       (17*s[77])/2 + 29*s[78] + 262*s[79] - (407*s[80])/6 + 146*s[82] + 
       (9*s[83])/2 + 87*s[84] + 28*s[85]) + HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*((-229*s[2])/4 + 
       (521*s[3])/8 + (9519*s[4])/16 - (25743*s[5])/88 - (317*s[6])/176 + 
       (1505753*s[7])/1056 - (98799*s[8])/176 - (3243*s[9])/4 + 213*s[10] - 
       (693173*s[11])/352 - (265533*s[12])/88 - (2198065*s[13])/1056 + 
       (840091*s[14])/352 - (105143*s[15])/96 - (535159*s[16])/264 + 
       (173167*s[17])/1056 + (8281*s[18])/36 - (95989*s[19])/144 - 
       (361777*s[20])/1584 + (3444665*s[21])/3168 + (247671*s[22])/352 + 
       (207580*s[23])/33 + (314057*s[24])/264 - (55793009*s[25])/14256 + 
       (9505577*s[26])/14256 - s[28] - 10*s[29] + (15*s[30])/2 - 8*s[31] + 
       12*s[33] - (13*s[34])/2 - (23*s[35])/2 - (287*s[36])/6 + 
       (241*s[37])/12 + (335*s[38])/2 - (1739*s[39])/2 + (2839*s[40])/3 - 
       (2975*s[41])/4 + (3950*s[42])/3 + (37855*s[43])/66 - 
       (409799*s[44])/528 + (61895*s[45])/264 - (359299*s[46])/88 + 
       (620377*s[47])/1584 - (397871*s[48])/1584 - (4815379*s[49])/1584 + 
       (222637*s[50])/66 + (1370585*s[51])/1584 + (960095*s[52])/1584 - 
       (47881*s[53])/22 - (3997*s[54])/11 - (2152945*s[55])/176 - 
       (3945869*s[56])/1584 + (18221053*s[57])/2376 - 
       (99384493*s[58])/14256 + (104556271*s[59])/14256 + 
       (310385839*s[60])/9504 - (140702299*s[61])/128304 - 2*s[65] - 
       6*s[66] + 15*s[67] - 6*s[68] + 29*s[69] - 12*s[70] + 3*s[71] + 
       11*s[72] - 19*s[73] - (57*s[74])/4 + (53*s[75])/4 - 7*s[76] - 
       (19*s[77])/2 + 31*s[78] + 116*s[79] - (203*s[80])/6 + 146*s[82] + 
       (9*s[83])/2 + 87*s[84] + 28*s[85]) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*Omega2[w, u, v]*((-17*s[2])/4 + (263*s[3])/8 + 
       (20489*s[4])/16 + (54161*s[5])/88 + (323721*s[6])/176 + 
       (55021625*s[7])/3168 - (7923131*s[8])/4752 - (390463*s[9])/27 - 
       (226831*s[10])/54 - (61335203*s[11])/3168 - (17211769*s[12])/792 - 
       (13916167*s[13])/1056 - (2652923*s[14])/3168 - (2151229*s[15])/96 - 
       (318977*s[16])/11 - (66999973*s[17])/3168 - (959027*s[18])/324 - 
       (3547219*s[19])/1296 - (472311943*s[20])/14256 - 
       (326754689*s[21])/28512 + (260094001*s[22])/28512 + 
       (5945657*s[23])/264 + (16721444*s[24])/891 - (3254156131*s[25])/
        128304 + (1692146767*s[26])/128304 - 10*s[29] + (13*s[30])/2 - 
       2*s[31] - 3*s[32] - (27*s[33])/4 - (11*s[34])/2 - (29*s[35])/2 - 
       (437*s[36])/6 + (853*s[37])/12 + (1431*s[38])/2 - (11405*s[39])/4 + 
       (37645*s[40])/12 - (4889*s[41])/2 + (24763*s[42])/6 + 
       (314825*s[43])/132 - (1364417*s[44])/528 + (656069*s[45])/264 - 
       (1812119*s[46])/88 + (1649503*s[47])/1584 + (154075*s[48])/1584 - 
       (17437513*s[49])/1584 + (521936*s[50])/33 + (4501511*s[51])/1584 + 
       (3590045*s[52])/1584 - (239345*s[53])/22 + (2995*s[54])/11 - 
       (35945873*s[55])/528 - (28197815*s[56])/1584 + (52289575*s[57])/2376 - 
       (468926071*s[58])/14256 + (475663849*s[59])/14256 + 
       (1589095573*s[60])/9504 - (1109930923*s[61])/128304 - 2*s[65] - 
       8*s[66] + 14*s[67] + 7*s[68] + 21*s[69] + s[70] + 15*s[72] - 
       19*s[73] - (71*s[74])/4 + (71*s[75])/4 - 11*s[76] - (13*s[77])/2 + 
       27*s[78] + 208*s[79] - (215*s[80])/6 + 44*s[82] + 6*s[83] + 96*s[84] + 
       28*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - w]*
      ((133*s[2])/36 + (191*s[3])/12 + (72991*s[4])/144 + (71851*s[5])/176 + 
       (1523701*s[6])/1584 + (246598873*s[7])/28512 - (183823*s[8])/264 - 
       (792637*s[9])/108 - (328159*s[10])/144 - (90009967*s[11])/9504 - 
       (3633959*s[12])/352 - (87681379*s[13])/14256 - (11366035*s[14])/9504 - 
       (29875129*s[15])/2592 - (208568815*s[16])/14256 - 
       (323217295*s[17])/28512 - (13102187*s[18])/7776 - 
       (8979061*s[19])/7776 - (1484680927*s[20])/85536 - 
       (17086945*s[21])/2673 + (21662275*s[22])/4752 + 
       (148751135*s[23])/14256 + (263995165*s[24])/28512 - 
       (9210816137*s[25])/769824 + (5144008169*s[26])/769824 + 
       (19*s[30])/18 + (22*s[31])/9 - (175*s[32])/72 - (59*s[33])/144 - 
       (41*s[34])/36 - (7*s[35])/6 - (1363*s[36])/72 + (1649*s[37])/54 + 
       (20345*s[38])/72 - (39121*s[39])/32 + (396565*s[40])/288 - 
       (312227*s[41])/288 + (519031*s[42])/288 + (3187295*s[43])/3168 - 
       (1755251*s[44])/1584 + (5281909*s[45])/4752 - (86691101*s[46])/9504 + 
       (2195353*s[47])/4752 + (149051*s[48])/9504 - (5499559*s[49])/1188 + 
       (926443*s[50])/132 + (11623715*s[51])/9504 + (9401575*s[52])/9504 - 
       (137926429*s[53])/28512 + (559087*s[54])/2376 - 
       (288124403*s[55])/9504 - (57963353*s[56])/7128 + 
       (862249463*s[57])/85536 - (3772974175*s[58])/256608 + 
       (3796457911*s[59])/256608 + (699739591*s[60])/9504 - 
       (4555066619*s[61])/1154736 - s[68]/6 + s[69]/6 - (13*s[70])/18 + 
       s[71]/24 + (43*s[72])/9 - (37*s[73])/9 - (211*s[74])/36 + 
       (211*s[75])/36 - (101*s[76])/18 - (31*s[77])/18 + (35*s[78])/6 + 
       (2435*s[79])/18 - (2177*s[80])/54 + (229*s[82])/2 + (170*s[84])/3 + 
       (88*s[85])/3) + HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      (-6*s[2] + (181*s[3])/8 - (3239*s[4])/16 - (66739*s[5])/352 - 
       (120629*s[6])/352 - (122554*s[7])/33 + (2959423*s[8])/9504 + 
       (2762909*s[9])/864 + (782137*s[10])/864 + (12998105*s[11])/3168 + 
       (14257747*s[12])/3168 + (4373443*s[13])/1584 + (58853*s[14])/198 + 
       (1462105*s[15])/288 + (9855529*s[16])/1584 + (1878955*s[17])/396 + 
       (1423207*s[18])/2592 + (103607*s[19])/162 + (102824527*s[20])/14256 + 
       (73081091*s[21])/28512 - (28292933*s[22])/14256 - 
       (6717917*s[23])/1584 - (29676643*s[24])/7128 + 
       (2734645987*s[25])/513216 - (1452419263*s[26])/513216 - s[30]/2 - 
       6*s[31] + s[32]/2 - (101*s[33])/16 + (57*s[34])/4 + (47*s[35])/4 + 
       (217*s[36])/12 - (1921*s[37])/48 - (1437*s[38])/8 + (10137*s[39])/16 - 
       (32179*s[40])/48 + (1959*s[41])/4 - (22039*s[42])/24 - 
       (271121*s[43])/528 + (543877*s[44])/1056 - (500345*s[45])/1056 + 
       (1426703*s[46])/352 - (882197*s[47])/3168 + (328045*s[48])/3168 + 
       (7389923*s[49])/3168 - (204271*s[50])/66 - (1951729*s[51])/3168 - 
       (1618255*s[52])/3168 + (780171*s[53])/352 - (5591*s[54])/176 + 
       (14536373*s[55])/1056 + (10387543*s[56])/3168 - 
       (20584631*s[57])/4752 + (91410895*s[58])/14256 - 
       (194142395*s[59])/28512 - (19677973*s[60])/594 + 
       (781291033*s[61])/513216 - (3*s[62])/8 - 2*s[63] - s[67] - 
       (7*s[68])/2 + (7*s[69])/2 + s[70] + (5*s[71])/8 - 2*s[72] + 2*s[73] + 
       (15*s[74])/4 - (15*s[75])/4 + 6*s[76] - (9*s[77])/2 - 11*s[78] - 
       40*s[79] - (145*s[80])/24 + (309*s[82])/2 - 12*s[84] + 30*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      ((13*s[2])/2 + (33*s[3])/8 - (2197*s[4])/16 + (4937*s[5])/88 - 
       (8311*s[6])/176 - (688907*s[7])/1056 + (738737*s[8])/4752 + 
       (48367*s[9])/108 - (2207*s[10])/216 + (2639897*s[11])/3168 + 
       (1809023*s[12])/1584 + (2688365*s[13])/3168 - (1519249*s[14])/3168 + 
       (175231*s[15])/288 + (689759*s[16])/792 + (550703*s[17])/3168 - 
       (10096*s[18])/81 + (363025*s[19])/1296 + (4065617*s[20])/7128 - 
       (3368275*s[21])/28512 - (9534289*s[22])/28512 - (1738307*s[23])/1584 - 
       (11850323*s[24])/14256 + (92917097*s[25])/64152 - 
       (25467551*s[26])/64152 - s[30]/2 - (9*s[32])/2 - s[33] + (3*s[34])/2 + 
       s[35]/2 + (29*s[36])/6 - (161*s[37])/12 - (297*s[38])/4 + 
       (383*s[39])/2 - (610*s[40])/3 + (443*s[41])/4 - (806*s[42])/3 - 
       (23261*s[43])/132 + (82415*s[44])/528 - (20395*s[45])/264 + 
       (235985*s[46])/264 - (132787*s[47])/1584 + (22577*s[48])/1584 + 
       (1071913*s[49])/1584 - (82811*s[50])/132 - (319079*s[51])/1584 - 
       (260819*s[52])/1584 + (42272*s[53])/99 - (6007*s[54])/66 + 
       (1429561*s[55])/528 + (348989*s[56])/528 - (79643*s[57])/66 + 
       (7025669*s[58])/4752 - (7517135*s[59])/4752 - (70982365*s[60])/9504 + 
       (10151821*s[61])/42768 - (7*s[68])/2 + (7*s[69])/2 + s[70] - s[72] + 
       s[73] + (3*s[74])/4 - (3*s[75])/4 + s[76] - 5*s[77] - s[78] - 
       24*s[79] + (37*s[80])/6 + (309*s[82])/2 - 12*s[84] + 30*s[85]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      ((-45*s[2])/2 + (55*s[3])/2 - (543*s[4])/4 - (31201*s[5])/176 - 
       (56311*s[6])/176 - (4708291*s[7])/1584 + (300559*s[8])/1584 + 
       (373949*s[9])/144 + (97135*s[10])/144 + (72727*s[11])/22 + 
       (962237*s[12])/264 + (1830145*s[13])/792 + (39713*s[14])/88 + 
       (275645*s[15])/72 + (7646297*s[16])/1584 + (5648707*s[17])/1584 + 
       (73421*s[18])/144 + (13313*s[19])/36 + (4652999*s[20])/792 + 
       (10191241*s[21])/4752 - (952001*s[22])/594 - (4867639*s[23])/1584 - 
       (7709369*s[24])/2376 + (359298251*s[25])/85536 - 
       (195222887*s[26])/85536 + (5*s[27])/8 - (33*s[31])/2 + s[32]/2 - 
       (113*s[33])/8 + 20*s[34] + 9*s[35] + (415*s[36])/24 - (321*s[37])/8 - 
       (1345*s[38])/8 + (16709*s[39])/32 - (53035*s[40])/96 + 
       (13151*s[41])/32 - (69953*s[42])/96 - (451361*s[43])/1056 + 
       (908059*s[44])/2112 - (32915*s[45])/88 + (3352619*s[46])/1056 - 
       (1605545*s[47])/6336 + (386797*s[48])/6336 + (11724899*s[49])/6336 - 
       (308797*s[50])/132 - (3484927*s[51])/6336 - (2849401*s[52])/6336 + 
       (4954585*s[53])/3168 - (105551*s[54])/528 + (6989907*s[55])/704 + 
       (16418033*s[56])/6336 - (19726385*s[57])/4752 + 
       (303455995*s[58])/57024 - (303865333*s[59])/57024 - 
       (976178069*s[60])/38016 + (610541485*s[61])/513216 - 2*s[63] - s[67] - 
       (9*s[68])/2 + (9*s[69])/2 - s[70] + (5*s[71])/8 - s[72] + s[73] + 
       3*s[74] - 3*s[75] + (31*s[76])/2 - 3*s[77] - 6*s[78] - 22*s[79] - 
       (55*s[80])/4 + (321*s[82])/2 - 12*s[84] + 30*s[85]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 0, 1}, 1 - u]*
      ((-61*s[2])/8 + (241*s[3])/8 - (1153*s[4])/16 - (19757*s[5])/176 - 
       (7567*s[6])/44 - (2386429*s[7])/1584 + (571909*s[8])/4752 + 
       (566363*s[9])/432 + (118213*s[10])/432 + (660851*s[11])/396 + 
       (2953213*s[12])/1584 + (1925569*s[13])/1584 + (424613*s[14])/1584 + 
       (17201*s[15])/9 + (3769273*s[16])/1584 + (912323*s[17])/528 + 
       (345541*s[18])/1296 + (184625*s[19])/1296 + (41297963*s[20])/14256 + 
       (15621455*s[21])/14256 - (5754803*s[22])/7128 - (1299709*s[23])/792 - 
       (1435285*s[24])/891 + (545769541*s[25])/256608 - 
       (301480057*s[26])/256608 - s[31] - (3*s[32])/4 - (5*s[33])/8 + 
       2*s[34] + s[35]/2 + (29*s[36])/6 - (62*s[37])/3 - (429*s[38])/4 + 
       (2479*s[39])/8 - (7877*s[40])/24 + (955*s[41])/4 - (2623*s[42])/6 - 
       (69727*s[43])/264 + (32081*s[44])/132 - (22733*s[45])/132 + 
       (434957*s[46])/264 - (69607*s[47])/396 + (53209*s[48])/792 + 
       (407965*s[49])/396 - (311659*s[50])/264 - (67945*s[51])/198 - 
       (219337*s[52])/792 + (313631*s[53])/396 - (58939*s[54])/264 + 
       (1312417*s[55])/264 + (58969*s[56])/44 - (4044685*s[57])/1584 + 
       (6850781*s[58])/2376 - (6862739*s[59])/2376 - (15730283*s[60])/1188 + 
       (667907*s[61])/1188 - (9*s[68])/2 + (9*s[69])/2 - s[70] - s[72] + 
       s[73] + (3*s[74])/4 - (3*s[75])/4 + s[76] - 3*s[77] - s[78] - 
       24*s[79] + (37*s[80])/6 + (321*s[82])/2 - 12*s[84] + 30*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      (-6*s[2] + (2807*s[3])/48 + (49793*s[4])/96 + (272315*s[5])/1056 + 
       (405077*s[6])/528 + (45771157*s[7])/6336 - (2447851*s[8])/3564 - 
       (15441523*s[9])/2592 - (4938833*s[10])/2592 - (150997199*s[11])/
        19008 - (83046107*s[12])/9504 - (99588143*s[13])/19008 - 
       (10875971*s[14])/19008 - (17071051*s[15])/1728 - 
       (118015621*s[16])/9504 - (182510375*s[17])/19008 - 
       (4484917*s[18])/3888 - (5136293*s[19])/3888 - (150380759*s[20])/
        10692 - (831868361*s[21])/171072 + (641750839*s[22])/171072 + 
       (41993101*s[23])/4752 + (689617937*s[24])/85536 - 
       (15966346277*s[25])/1539648 + (8409248849*s[26])/1539648 - 
       (11*s[29])/3 + (10*s[30])/3 - (17*s[31])/3 - (3*s[32])/8 - 
       (59*s[33])/16 + 3*s[34] + (33*s[35])/4 - (611*s[36])/18 + 
       (2177*s[37])/144 + (5939*s[38])/24 - (48913*s[39])/48 + 
       (162451*s[40])/144 - (20831*s[41])/24 + (106801*s[42])/72 + 
       (1452113*s[43])/1584 - (6222695*s[44])/6336 + (3373537*s[45])/3168 - 
       (26323433*s[46])/3168 + (5690389*s[47])/19008 + 
       (3122593*s[48])/19008 - (81752839*s[49])/19008 + (645446*s[50])/99 + 
       (18599849*s[51])/19008 + (13911179*s[52])/19008 - 
       (43919893*s[53])/9504 - (34495*s[54])/396 - (184977311*s[55])/6336 - 
       (46420831*s[56])/6336 + (55194211*s[57])/9504 - 
       (236599423*s[58])/19008 + (247655543*s[59])/19008 + 
       (7856359891*s[60])/114048 - (919336207*s[61])/256608 + s[62]/4 - 
       (5*s[65])/4 - 5*s[66] + (37*s[67])/6 - 2*s[68] + (43*s[69])/3 - 
       (23*s[70])/6 + (7*s[71])/24 + (13*s[72])/2 - (31*s[73])/6 - 
       (169*s[74])/24 + (169*s[75])/24 - (31*s[76])/6 - (25*s[77])/4 + 
       (103*s[78])/6 + (475*s[79])/6 - (859*s[80])/72 + 167*s[82] + 
       (15*s[83])/4 + (55*s[84])/2 + 30*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((-35*s[2])/12 - (575*s[3])/72 + (141517*s[4])/144 + 
       (188549*s[5])/396 + (195139*s[6])/132 + (43739275*s[7])/3168 - 
       (9218477*s[8])/7128 - (14951927*s[9])/1296 - (1101793*s[10])/324 - 
       (36650809*s[11])/2376 - (164570723*s[12])/9504 - 
       (99932365*s[13])/9504 - (7260367*s[14])/9504 - (15294503*s[15])/864 - 
       (109550267*s[16])/4752 - (79488743*s[17])/4752 - 
       (9153637*s[18])/3888 - (1036453*s[19])/486 - (1132001687*s[20])/
        42768 - (788623237*s[21])/85536 + (623414711*s[22])/85536 + 
       (165899915*s[23])/9504 + (1278277655*s[24])/85536 - 
       (15483127273*s[25])/769824 + (8106533665*s[26])/769824 - 8*s[29] + 
       5*s[30] + (5*s[31])/3 - (49*s[32])/9 + (55*s[33])/24 - 10*s[34] - 
       (65*s[35])/6 - (355*s[36])/6 + (1415*s[37])/36 + (9943*s[38])/18 - 
       (161507*s[39])/72 + (178247*s[40])/72 - (15571*s[41])/8 + 
       (58327*s[42])/18 + (1536797*s[43])/792 - (3318841*s[44])/1584 + 
       (21841*s[45])/11 - (13128847*s[46])/792 + (3522229*s[47])/4752 + 
       (1301395*s[48])/4752 - (42827839*s[49])/4752 + (280209*s[50])/22 + 
       (10332119*s[51])/4752 + (8286503*s[52])/4752 - (6887213*s[53])/792 - 
       (2821*s[54])/396 - (259377193*s[55])/4752 - (67823585*s[56])/4752 + 
       (60715157*s[57])/3564 - (1121451679*s[58])/42768 + 
       (1137370753*s[59])/42768 + (3861630661*s[60])/28512 - 
       (1335300419*s[61])/192456 + (2*s[63])/3 - (5*s[65])/3 - (20*s[66])/3 + 
       (35*s[67])/3 + (58*s[68])/9 + (173*s[69])/9 + (4*s[70])/3 - s[71]/3 + 
       (41*s[72])/3 - (55*s[73])/3 - (57*s[74])/4 + (57*s[75])/4 - 11*s[76] - 
       (103*s[77])/18 + (89*s[78])/3 + (520*s[79])/3 - (517*s[80])/18 + 
       (865*s[82])/6 + 5*s[83] + 80*s[84] + (92*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - u]*
      ((5*s[2])/3 + (49*s[3])/2 + (76*s[4])/3 + (2041*s[5])/33 + 
       (7993*s[6])/66 + (103039*s[7])/99 - (46627*s[8])/1188 - 
       (93977*s[9])/108 - (45793*s[10])/108 - (846145*s[11])/792 - 
       (401569*s[12])/396 - (454373*s[13])/792 - (352153*s[14])/792 - 
       (29933*s[15])/18 - (1541033*s[16])/792 - (497599*s[17])/264 - 
       (48103*s[18])/324 - (22697*s[19])/81 - (8526773*s[20])/3564 - 
       (6193807*s[21])/7128 + (3752981*s[22])/7128 + (180187*s[23])/792 + 
       (9886133*s[24])/7128 - (40228301*s[25])/32076 + (6150605*s[26])/8019 - 
       (4*s[31])/3 - s[32] - s[33] + (8*s[34])/3 + (8*s[35])/3 + 
       (14*s[36])/9 - (38*s[37])/9 + (14*s[38])/3 - (11*s[39])/12 + 
       (625*s[40])/36 - (263*s[41])/12 - (625*s[42])/36 + (35423*s[43])/396 - 
       (7490*s[44])/99 + (83821*s[45])/396 - (35983*s[46])/33 - 
       (25511*s[47])/297 + (244225*s[48])/1188 - (506449*s[49])/1188 + 
       (94013*s[50])/99 + (1730*s[51])/297 - (50029*s[52])/1188 - 
       (273989*s[53])/396 - (4033*s[54])/33 - (471676*s[55])/99 - 
       (1206479*s[56])/1188 - (1769125*s[57])/891 - (9563689*s[58])/10692 + 
       (11234161*s[59])/10692 + (18853867*s[60])/1782 - 
       (27175691*s[61])/48114 - (8*s[68])/3 + (8*s[69])/3 + s[74]/3 - 
       s[75]/3 + (4*s[76])/3 - (8*s[77])/3 - (4*s[78])/3 + (8*s[79])/3 - 
       (28*s[80])/9 + 166*s[82] + 32*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      M1[v, w, u]*(3*s[2] + 9*s[3] + (465*s[4])/2 + (14675*s[5])/88 + 
       (18555*s[6])/44 + (6076985*s[7])/1584 - (59881*s[8])/198 - 
       (233519*s[9])/72 - (74125*s[10])/72 - (185401*s[11])/44 - 
       (2424227*s[12])/528 - (4370635*s[13])/1584 - (85611*s[14])/176 - 
       (736883*s[15])/144 - (1283981*s[16])/198 - (992575*s[17])/198 - 
       (12557*s[18])/18 - (42095*s[19])/72 - (6053425*s[20])/792 - 
       (13186439*s[21])/4752 + (9591137*s[22])/4752 + (6913703*s[23])/1584 + 
       (20016449*s[24])/4752 - (229015823*s[25])/42768 + 
       (126122729*s[26])/42768 + s[30]/2 + s[31] + (7*s[33])/8 - 
       (3*s[34])/2 - (2*s[35])/3 - 11*s[36] + (10*s[37])/3 + (281*s[38])/2 - 
       (13091*s[39])/24 + (14675*s[40])/24 - (11755*s[41])/24 + 
       (18625*s[42])/24 + (135241*s[43])/264 - (277295*s[44])/528 + 
       (157867*s[45])/264 - (300787*s[46])/66 + (74845*s[47])/528 + 
       (70291*s[48])/528 - (409531*s[49])/176 + (234067*s[50])/66 + 
       (279173*s[51])/528 + (74289*s[52])/176 - (243919*s[53])/99 - 
       (316*s[54])/33 - (8277407*s[55])/528 - (6349661*s[56])/1584 + 
       (3926213*s[57])/1188 - (97949305*s[58])/14256 + 
       (100507609*s[59])/14256 + (119801369*s[60])/3168 - 
       (63479011*s[61])/32076 - s[68] + s[69] - s[71] + 2*s[72] - 
       (7*s[74])/3 + (7*s[75])/3 - (8*s[76])/3 - (5*s[77])/3 + 2*s[78] + 
       44*s[79] - (10*s[80])/3 + 88*s[82] + 24*s[84] + 32*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((107*s[2])/4 - (323*s[3])/8 + (1797*s[4])/16 + (12921*s[5])/44 + 
       (80111*s[6])/176 + (3758693*s[7])/1056 - (300811*s[8])/1584 - 
       (114863*s[9])/36 - (61397*s[10])/72 - (4145755*s[11])/1056 - 
       (1119689*s[12])/264 - (2682701*s[13])/1056 - (1005199*s[14])/1056 - 
       (435419*s[15])/96 - (385325*s[16])/66 - (1600751*s[17])/352 - 
       (105481*s[18])/108 - (31211*s[19])/432 - (35826467*s[20])/4752 - 
       (31251001*s[21])/9504 + (18319205*s[22])/9504 + (308167*s[23])/66 + 
       (7849889*s[24])/2376 - (195151955*s[25])/42768 + 
       (128357591*s[26])/42768 + 4*s[29] - 6*s[30] + 10*s[31] + (5*s[32])/2 + 
       (81*s[33])/8 - 16*s[34] - (23*s[35])/2 - 12*s[36] + (271*s[37])/12 + 
       175*s[38] - (5969*s[39])/8 + (6569*s[40])/8 - (4885*s[41])/8 + 
       (8783*s[42])/8 + (39199*s[43])/88 - (51263*s[44])/88 + 
       (94727*s[45])/264 - (126892*s[46])/33 + (40273*s[47])/88 - 
       (13903*s[48])/44 - (192671*s[49])/88 + (61295*s[50])/22 + 
       (26084*s[51])/33 + (7369*s[52])/11 - (1403101*s[53])/792 + 
       (39887*s[54])/132 - (471411*s[55])/44 - (2673203*s[56])/792 + 
       (21878669*s[57])/2376 - (6765665*s[58])/891 + (25737581*s[59])/3564 + 
       (22794119*s[60])/792 - (12703400*s[61])/8019 - 2*s[63] - s[64]/2 - 
       2*s[65] - 2*s[66] + 5*s[67] + 5*s[68] + 7*s[69] + 4*s[70] + 
       (7*s[71])/2 + 7*s[72] - 25*s[73] - (29*s[74])/4 + (27*s[75])/4 - 
       6*s[76] - (11*s[77])/2 + 11*s[78] + 82*s[79] - (269*s[80])/6 - 
       26*s[82] + (9*s[83])/2 + 27*s[84] + 32*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((31*s[2])/2 - (153*s[3])/4 - (393*s[4])/8 + (173*s[5])/4 + 
       (265*s[6])/8 + (4653*s[7])/16 + (9907*s[8])/72 - (16039*s[9])/36 - 
       (218*s[10])/9 - (23735*s[11])/48 - (3929*s[12])/6 - (25397*s[13])/48 - 
       (8915*s[14])/48 + (13201*s[15])/48 - (2305*s[16])/24 + 
       (18283*s[17])/48 - (8257*s[18])/54 + (26311*s[19])/216 - 
       (148411*s[20])/216 - (148865*s[21])/432 + (107317*s[22])/432 - 
       (5365*s[23])/24 + (35369*s[24])/216 - (452783*s[25])/972 + 
       (70061*s[26])/243 + 4*s[29] - 3*s[30] + 13*s[31] + (5*s[32])/2 + 
       (27*s[33])/4 - 26*s[34] + 2*s[35] + (139*s[36])/6 + (11*s[37])/2 + 
       67*s[38] - (591*s[39])/8 + (2417*s[40])/24 - (471*s[41])/8 + 
       (469*s[42])/24 + (1433*s[43])/24 - (3019*s[44])/48 + (149*s[45])/4 - 
       (5621*s[46])/24 + (401*s[47])/144 + (24563*s[48])/144 - 
       (38963*s[49])/144 + (685*s[50])/12 + (11227*s[51])/144 + 
       (18913*s[52])/144 + (21053*s[53])/72 - (221*s[54])/6 + 
       (64847*s[55])/48 - (6161*s[56])/144 + (60494*s[57])/27 - 
       (1232011*s[58])/1296 + (365005*s[59])/1296 + (1899473*s[60])/864 + 
       (80117*s[61])/11664 - s[64]/2 + s[65]/2 + 4*s[66] - 6*s[67] - s[68] - 
       11*s[69] + 10*s[70] - s[71] - 8*s[72] + 2*s[73] - s[75]/2 - 9*s[76] - 
       2*s[77] - 16*s[78] + 54*s[79] - 20*s[80] - 26*s[82] + (9*s[83])/2 + 
       27*s[84] + 32*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((106*s[2])/3 - (47*s[3])/3 + (6107*s[4])/12 + 
       (111905*s[5])/132 + (54305*s[6])/33 + (5449375*s[7])/396 - 
       (237011*s[8])/297 - (640373*s[9])/54 - (442889*s[10])/108 - 
       (5852227*s[11])/396 - (6095675*s[12])/396 - (617855*s[13])/66 - 
       (1278667*s[14])/396 - (682787*s[15])/36 - (257035*s[16])/11 - 
       (7717577*s[17])/396 - (216674*s[18])/81 - (314321*s[19])/162 - 
       (25319575*s[20])/891 - (19701947*s[21])/1782 + (25875581*s[22])/3564 + 
       (288437*s[23])/22 + (27115969*s[24])/1782 - (144706714*s[25])/8019 + 
       (171762809*s[26])/16038 + 12*s[29] + (11*s[30])/3 + 14*s[31] - 
       (25*s[32])/3 + (31*s[33])/4 - (29*s[34])/3 - (94*s[35])/3 - 
       (229*s[36])/9 + (1535*s[37])/18 + (1225*s[38])/3 - (18775*s[39])/12 + 
       (63289*s[40])/36 - (5259*s[41])/4 + (78635*s[42])/36 + 
       (613499*s[43])/396 - (1224175*s[44])/792 + (752197*s[45])/396 - 
       (460054*s[46])/33 + (706511*s[47])/2376 + (1240253*s[48])/2376 - 
       (16125173*s[49])/2376 + (1061036*s[50])/99 + (3411673*s[51])/2376 + 
       (2891833*s[52])/2376 - (748733*s[53])/99 + (32861*s[54])/66 - 
       (38465983*s[55])/792 - (30221179*s[56])/2376 + (15611359*s[57])/1782 - 
       (443378015*s[58])/21384 + (453877307*s[59])/21384 + 
       (1649736689*s[60])/14256 - (593584369*s[61])/96228 - 6*s[62] + 
       (2*s[65])/3 + 6*s[66] - 8*s[67] - 10*s[68] - 18*s[69] - 
       (104*s[70])/3 + s[71] + (8*s[72])/3 - (2*s[74])/3 + s[75]/3 + 
       58*s[77] - (50*s[78])/3 + (608*s[79])/3 - (757*s[80])/9 + s[81]/3 + 
       224*s[82] + 12*s[83] + 36*s[84] + 32*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((148*s[2])/3 + (677*s[3])/6 + 737*s[4] + (51745*s[5])/44 + 
       (301553*s[6])/132 + (1610685*s[7])/88 - (434653*s[8])/396 - 
       (140927*s[9])/9 - (188383*s[10])/36 - (5222983*s[11])/264 - 
       (2735729*s[12])/132 - (1102137*s[13])/88 - (361513*s[14])/88 - 
       (1819735*s[15])/72 - (4124359*s[16])/132 - (2287171*s[17])/88 - 
       (203261*s[18])/54 - (266717*s[19])/108 - (44867285*s[20])/1188 - 
       (35485639*s[21])/2376 + (22676561*s[22])/2376 + (818825*s[23])/44 + 
       (23692483*s[24])/1188 - (258400391*s[25])/10692 + 
       (155289407*s[26])/10692 + 12*s[29] - (5*s[30])/3 + 22*s[31] - 
       16*s[32] + (45*s[33])/4 - (77*s[34])/3 - (107*s[35])/3 - 
       (505*s[36])/9 + (776*s[37])/9 + (1679*s[38])/3 - (8815*s[39])/4 + 
       (85171*s[40])/36 - (20875*s[41])/12 + (111677*s[42])/36 + 
       (773081*s[43])/396 - (1552189*s[44])/792 + (474289*s[45])/198 - 
       (7027501*s[46])/396 + (1778801*s[47])/2376 + (407387*s[48])/2376 - 
       (20718803*s[49])/2376 + (2621983*s[50])/198 + (4695391*s[51])/2376 + 
       (4197163*s[52])/2376 - (11284967*s[53])/1188 + (136111*s[54])/198 - 
       (47836397*s[55])/792 - (4271425*s[56])/264 + (4570888*s[57])/297 - 
       (197668721*s[58])/7128 + (200887991*s[59])/7128 + 
       (2034330761*s[60])/14256 - (56662225*s[61])/7128 - 6*s[62] - s[65] + 
       2*s[66] - 4*s[67] + 8*s[68] - 8*s[69] - 40*s[70] + (8*s[71])/3 + 
       (32*s[72])/3 - (23*s[74])/3 + (25*s[75])/3 - (44*s[76])/3 + 
       (184*s[77])/3 + (100*s[78])/3 + (176*s[79])/3 - (236*s[80])/9 + 
       s[81]/3 + 224*s[82] + 12*s[83] + 36*s[84] + 32*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((34*s[2])/3 - (75*s[3])/4 + (7291*s[4])/24 + (6525*s[5])/44 + 
       (117245*s[6])/264 + (6450793*s[7])/1584 - (107245*s[8])/264 - 
       (41209*s[9])/12 - (3251*s[10])/4 - (2420017*s[11])/528 - 
       (1380671*s[12])/264 - (5121587*s[13])/1584 + (15551*s[14])/176 - 
       (715331*s[15])/144 - (5173429*s[16])/792 - (7023433*s[17])/1584 - 
       (21443*s[18])/27 - (89159*s[19])/216 - (17627207*s[20])/2376 - 
       (12479321*s[21])/4752 + (3417499*s[22])/1584 + (634297*s[23])/99 + 
       (397223*s[24])/99 - (129409627*s[25])/21384 + (66820207*s[26])/21384 + 
       s[30] + (28*s[31])/3 - s[32] + (15*s[33])/4 - (50*s[34])/3 - 
       (5*s[35])/3 - (307*s[36])/18 + (217*s[37])/18 + (581*s[38])/3 - 
       (6269*s[39])/8 + (61225*s[40])/72 - (16151*s[41])/24 + 
       (82841*s[42])/72 + (528227*s[43])/792 - (1039573*s[44])/1584 + 
       (294737*s[45])/396 - (521603*s[46])/88 + (1489073*s[47])/4752 - 
       (105289*s[48])/4752 - (13978523*s[49])/4752 + (889799*s[50])/198 + 
       (3592975*s[51])/4752 + (3097687*s[52])/4752 - (838411*s[53])/264 + 
       (5138*s[54])/33 - (10414615*s[55])/528 - (25348993*s[56])/4752 + 
       (22957951*s[57])/3564 - (407797811*s[58])/42768 + 
       (412691525*s[59])/42768 + (1344617369*s[60])/28512 - 
       (1001323265*s[61])/384912 + (11*s[68])/3 - (5*s[69])/3 + 2*s[70] - 
       2*s[71] + 4*s[72] - 4*s[73] - (13*s[74])/3 + (13*s[75])/3 - 
       (34*s[76])/3 + (5*s[77])/3 + (19*s[78])/3 + (118*s[79])/3 + 
       (94*s[80])/9 - 42*s[82] + 48*s[84] + 32*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*
      ((19*s[2])/3 + (261*s[3])/16 + (18769*s[4])/32 + (221125*s[5])/528 + 
       (391097*s[6])/352 + (90415925*s[7])/9504 - (5548489*s[8])/7128 - 
       (20846075*s[9])/2592 - (6280807*s[10])/2592 - (24939851*s[11])/2376 - 
       (109643935*s[12])/9504 - (2459141*s[13])/352 - (2834417*s[14])/2376 - 
       (1184923*s[15])/96 - (50342285*s[16])/3168 - (114432067*s[17])/9504 - 
       (14263297*s[18])/7776 - (9762233*s[19])/7776 - 
       (1608646871*s[20])/85536 - (587679671*s[21])/85536 + 
       (428175439*s[22])/85536 + (11859329*s[23])/1056 + 
       (434804555*s[24])/42768 - (5140740679*s[25])/384912 + 
       (2833238203*s[26])/384912 + (7*s[30])/6 + (11*s[31])/3 + s[32]/12 + 
       (23*s[33])/48 - (109*s[34])/12 - (13*s[35])/2 - (145*s[36])/6 + 
       (503*s[37])/12 + (3931*s[38])/12 - (4069*s[39])/3 + (4522*s[40])/3 - 
       (57613*s[41])/48 + (94693*s[42])/48 + (38240*s[43])/33 - 
       (82339*s[44])/66 + (348355*s[45])/264 - (462347*s[46])/44 + 
       (99173*s[47])/198 + (42091*s[48])/396 - (16489043*s[49])/3168 + 
       (262259*s[50])/33 + (1471967*s[51])/1056 + (895657*s[52])/792 - 
       (8670055*s[53])/1584 + (66323*s[54])/176 - (18312565*s[55])/528 - 
       (30188999*s[56])/3168 + (26195771*s[57])/2376 - 
       (481428955*s[58])/28512 + (479175391*s[59])/28512 + 
       (1609293167*s[60])/19008 - (1184728483*s[61])/256608 + (17*s[68])/6 - 
       (17*s[69])/6 - s[71]/2 + (14*s[72])/3 + 4*s[73] - (83*s[74])/12 + 
       (83*s[75])/12 - 7*s[76] + s[77] + 6*s[78] + 110*s[79] - 
       (131*s[80])/6 + (265*s[82])/2 + 56*s[84] + 32*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Omega2[v, w, u]*
      ((103*s[2])/6 - (499*s[3])/12 + (16139*s[4])/24 + (163979*s[5])/264 + 
       (94103*s[6])/66 + (59743171*s[7])/4752 - (867088*s[8])/891 - 
       (6955591*s[9])/648 - (2090795*s[10])/648 - (65605637*s[11])/4752 - 
       (35805317*s[12])/2376 - (43296241*s[13])/4752 - (8582615*s[14])/4752 - 
       (7143635*s[15])/432 - (49821743*s[16])/2376 - (25404839*s[17])/1584 - 
       (4675265*s[18])/1944 - (3127939*s[19])/1944 - (536406085*s[20])/
        21384 - (398262635*s[21])/42768 + (284660797*s[22])/42768 + 
       (34217419*s[23])/2376 + (289140539*s[24])/21384 - 
       (6706666127*s[25])/384912 + (3759308507*s[26])/384912 + 2*s[29] - 
       s[30] + (32*s[31])/3 - s[32]/3 + (47*s[33])/12 - (49*s[34])/3 - 
       (37*s[35])/3 - (493*s[36])/18 + (1609*s[37])/36 + (1433*s[38])/3 - 
       (44515*s[39])/24 + (148213*s[40])/72 - (38819*s[41])/24 + 
       (192491*s[42])/72 + (1330511*s[43])/792 - (2690089*s[44])/1584 + 
       (1459427*s[45])/792 - (5756819*s[46])/396 + (2875511*s[47])/4752 + 
       (1196405*s[48])/4752 - (35200817*s[49])/4752 + (1093693*s[50])/99 + 
       (8680225*s[51])/4752 + (7147411*s[52])/4752 - (9145183*s[53])/1188 + 
       (87947*s[54])/198 - (77347063*s[55])/1584 - (6903943*s[56])/528 + 
       (7953271*s[57])/594 - (324718937*s[58])/14256 + 
       (329093609*s[59])/14256 + (3379136129*s[60])/28512 - 
       (11219453*s[61])/1782 + (2*s[65])/3 + (8*s[66])/3 - (10*s[67])/3 + 
       (11*s[68])/3 - (28*s[69])/3 + (8*s[70])/3 - (8*s[71])/3 + 
       (14*s[72])/3 + 2*s[73] - (13*s[74])/2 + (13*s[75])/2 - (34*s[76])/3 + 
       (14*s[77])/3 + (20*s[78])/3 + (460*s[79])/3 - (383*s[80])/18 + 
       18*s[82] - 2*s[83] + 84*s[84] + 32*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Omega2[v, w, u]*
      ((-8*s[2])/3 + (65*s[3])/4 + (27709*s[4])/24 + (81701*s[5])/132 + 
       (457117*s[6])/264 + (77176225*s[7])/4752 - (10902703*s[8])/7128 - 
       (4397599*s[9])/324 - (1264211*s[10])/324 - (85861339*s[11])/4752 - 
       (6006692*s[12])/297 - (2159979*s[13])/176 - (4294927*s[14])/4752 - 
       (3020869*s[15])/144 - (2676220*s[16])/99 - (94113017*s[17])/4752 - 
       (681704*s[18])/243 - (4841165*s[19])/1944 - (663423389*s[20])/21384 - 
       (463001785*s[21])/42768 + (365002265*s[22])/42768 + 
       (1382065*s[23])/66 + (46765568*s[24])/2673 - (4542588515*s[25])/
        192456 + (2377734311*s[26])/192456 - 6*s[29] + 5*s[30] + 
       (4*s[31])/3 - (5*s[32])/3 - (23*s[33])/3 - (23*s[34])/3 - 
       (47*s[35])/3 - (533*s[36])/9 + 68*s[37] + (2023*s[38])/3 - 
       (7933*s[39])/3 + (26192*s[40])/9 - 2261*s[41] + (137383*s[42])/36 + 
       (223213*s[43])/99 - (1893401*s[44])/792 + (80228*s[45])/33 - 
       (1942861*s[46])/99 + (2264413*s[47])/2376 + (349621*s[48])/2376 - 
       (24452881*s[49])/2376 + (1489963*s[50])/99 + (6263135*s[51])/2376 + 
       (5019521*s[52])/2376 - (12371759*s[53])/1188 + (34358*s[54])/99 - 
       (51785893*s[55])/792 - (40786615*s[56])/2376 + (70564715*s[57])/3564 - 
       (664750919*s[58])/21384 + (674350211*s[59])/21384 + 
       (2275856455*s[60])/14256 - (805259143*s[61])/96228 - (4*s[65])/3 - 
       (16*s[66])/3 + (26*s[67])/3 + (17*s[68])/3 + (32*s[69])/3 + 
       (8*s[70])/3 - (2*s[71])/3 + (34*s[72])/3 - (38*s[73])/3 - 
       (85*s[74])/6 + (85*s[75])/6 - 10*s[76] - (2*s[77])/3 + (56*s[78])/3 + 
       188*s[79] - (104*s[80])/3 + 54*s[82] + 4*s[83] + 96*s[84] + 
       32*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - u]*(s[2]/4 + (157*s[3])/8 + (30455*s[4])/16 + 
       (75335*s[5])/88 + (470887*s[6])/176 + (8976899*s[7])/352 - 
       (1231669*s[8])/528 - (256163*s[9])/12 - (17986*s[10])/3 - 
       (10197381*s[11])/352 - (2904911*s[12])/88 - (7224787*s[13])/352 - 
       (179437*s[14])/352 - (1013101*s[15])/32 - (3684641*s[16])/88 - 
       (10243595*s[17])/352 - (146971*s[18])/36 - (628325*s[19])/144 - 
       (75563357*s[20])/1584 - (51706855*s[21])/3168 + 
       (42761087*s[22])/3168 + (1421483*s[23])/44 + (22319369*s[24])/792 - 
       (544872401*s[25])/14256 + (277020269*s[26])/14256 + 2*s[28] - 
       3*s[29] - (3*s[30])/2 + s[31] + 14*s[32] - 19*s[33] - (13*s[34])/2 - 
       (63*s[35])/2 - (493*s[36])/6 + (815*s[37])/12 + 1310*s[38] - 
       (18301*s[39])/4 + (61397*s[40])/12 - (15627*s[41])/4 + 
       (38543*s[42])/6 + (527545*s[43])/132 - (2237293*s[44])/528 + 
       (1008019*s[45])/264 - (2793249*s[46])/88 + (2309423*s[47])/1584 + 
       (1174619*s[48])/1584 - (29148005*s[49])/1584 + (3211387*s[50])/132 + 
       (7158703*s[51])/1584 + (5865385*s[52])/1584 - (2119211*s[53])/132 - 
       (8737*s[54])/44 - (53523581*s[55])/528 - (41362363*s[56])/1584 + 
       (86226809*s[57])/2376 - (731146631*s[58])/14256 + 
       (735077417*s[59])/14256 + (2496587525*s[60])/9504 - 
       (1638260057*s[61])/128304 - 4*s[63] - (3*s[64])/2 - s[65]/2 - 
       4*s[66] + 9*s[67] + 22*s[68] + 6*s[69] + 67*s[70] + s[71]/2 - s[72] - 
       7*s[73] - (81*s[74])/4 + (61*s[75])/4 + 24*s[76] - (97*s[77])/2 + 
       3*s[78] + 352*s[79] - (607*s[80])/6 - 152*s[82] - (15*s[83])/2 + 
       153*s[84] + 32*s[85]) + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*((9*s[2])/2 + (71*s[3])/4 + (5679*s[4])/16 + 
       (11871*s[5])/44 + (710969*s[6])/1056 + (1594807*s[7])/264 - 
       (4597325*s[8])/9504 - (4408933*s[9])/864 - (87689*s[10])/54 - 
       (41934833*s[11])/6336 - (45664873*s[12])/6336 - 
       (13668937*s[13])/3168 - (2643343*s[14])/3168 - (193501*s[15])/24 - 
       (8093929*s[16])/792 - (50300477*s[17])/6336 - (2903873*s[18])/2592 - 
       (2312785*s[19])/2592 - (172427807*s[20])/14256 - 
       (125374429*s[21])/28512 + (5655131*s[22])/1782 + 
       (43512703*s[23])/6336 + (376379011*s[24])/57024 - 
       (4307249057*s[25])/513216 + (2382731357*s[26])/513216 + (3*s[30])/4 + 
       (3*s[31])/2 - s[32]/2 + (9*s[33])/16 - (5*s[34])/4 - (31*s[35])/48 - 
       (617*s[36])/48 + (377*s[37])/24 + 199*s[38] - (19405*s[39])/24 + 
       (21893*s[40])/24 - (17183*s[41])/24 + (55955*s[42])/48 + 
       (32165*s[43])/44 - (808303*s[44])/1056 + (57833*s[45])/66 - 
       (883951*s[46])/132 + (785633*s[47])/3168 + (469097*s[48])/3168 - 
       (10517843*s[49])/3168 + (1364287*s[50])/264 + (2523617*s[51])/3168 + 
       (2035861*s[52])/3168 - (2842153*s[53])/792 + (13897*s[54])/132 - 
       (72349399*s[55])/3168 - (2122619*s[56])/352 + (8697415*s[57])/1584 - 
       (98012945*s[58])/9504 + (99264689*s[59])/9504 + 
       (1046314061*s[60])/19008 - (42216917*s[61])/14256 - s[71]/2 + 
       3*s[72] - (41*s[74])/12 + (41*s[75])/12 - (13*s[76])/3 - (5*s[77])/6 + 
       3*s[78] + 78*s[79] - (109*s[80])/6 + (463*s[82])/4 + 36*s[84] + 
       34*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - v]*
      ((9*s[2])/2 + (851*s[3])/48 + (2835*s[4])/8 + (12077*s[5])/44 + 
       (717065*s[6])/1056 + (9624479*s[7])/1584 - (511103*s[8])/1056 - 
       (492935*s[9])/96 - (39241*s[10])/24 - (14052961*s[11])/2112 - 
       (15289723*s[12])/2112 - (3429641*s[13])/792 - (37489*s[14])/44 - 
       (146137*s[15])/18 - (32583755*s[16])/3168 - (50705195*s[17])/6336 - 
       (980507*s[18])/864 - (768265*s[19])/864 - (3617501*s[20])/297 - 
       (5278195*s[21])/1188 + (3370687*s[22])/1056 + (43880489*s[23])/6336 + 
       (41998717*s[24])/6336 - (1441680073*s[25])/171072 + 
       (799971325*s[26])/171072 + (3*s[30])/4 + (3*s[31])/2 - s[32]/2 + 
       (9*s[33])/16 - (5*s[34])/4 - (5*s[35])/6 - (53*s[36])/4 + 
       (181*s[37])/12 + (1595*s[38])/8 - (39257*s[39])/48 + 
       (14745*s[40])/16 - (34781*s[41])/48 + (28403*s[42])/24 + 
       (383399*s[43])/528 - (271115*s[44])/352 + (151429*s[45])/176 - 
       (1169097*s[46])/176 + (827243*s[47])/3168 + (391247*s[48])/3168 - 
       (10471799*s[49])/3168 + (56328*s[50])/11 + (858589*s[51])/1056 + 
       (2070589*s[52])/3168 - (703133*s[53])/198 + (31027*s[54])/264 - 
       (71448415*s[55])/3168 - (18910247*s[56])/3168 + 
       (27421585*s[57])/4752 - (294088783*s[58])/28512 + 
       (297447871*s[59])/28512 + (1034405399*s[60])/19008 - 
       (751018819*s[61])/256608 - s[70]/2 - s[71]/2 + 3*s[72] - 
       (11*s[74])/3 + (11*s[75])/3 - (13*s[76])/3 - (5*s[77])/6 + 
       (7*s[78])/2 + 79*s[79] - (109*s[80])/6 + (463*s[82])/4 + 36*s[84] + 
       34*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*M1[w, u, v]*
      (3*s[2] + 9*s[3] + (465*s[4])/2 + (14675*s[5])/88 + (18555*s[6])/44 + 
       (6076985*s[7])/1584 - (59881*s[8])/198 - (233519*s[9])/72 - 
       (74125*s[10])/72 - (185401*s[11])/44 - (2424227*s[12])/528 - 
       (4370635*s[13])/1584 - (85611*s[14])/176 - (736883*s[15])/144 - 
       (1283981*s[16])/198 - (992575*s[17])/198 - (12557*s[18])/18 - 
       (42095*s[19])/72 - (6053425*s[20])/792 - (13186439*s[21])/4752 + 
       (9591137*s[22])/4752 + (6913703*s[23])/1584 + (20016449*s[24])/4752 - 
       (229015823*s[25])/42768 + (126122729*s[26])/42768 + s[30]/2 + s[31] + 
       (7*s[33])/8 - (3*s[34])/2 - s[35] - (29*s[36])/3 - (13*s[37])/3 + 
       (275*s[38])/2 - (4317*s[39])/8 + (14695*s[40])/24 - (3981*s[41])/8 + 
       (18365*s[42])/24 + (140645*s[43])/264 - (286351*s[44])/528 + 
       (168043*s[45])/264 - (52488*s[46])/11 + (176735*s[47])/1584 + 
       (321209*s[48])/1584 - (3848795*s[49])/1584 + (246581*s[50])/66 + 
       (821791*s[51])/1584 + (639889*s[52])/1584 - (85706*s[53])/33 - 
       (1413*s[54])/22 - (2922101*s[55])/176 - (6696445*s[56])/1584 + 
       (3454741*s[57])/1188 - (100390673*s[58])/14256 + 
       (103357937*s[59])/14256 + (379642163*s[60])/9504 - 
       (67517687*s[61])/32076 - 2*s[68] + 2*s[69] + s[70] - s[71] + 2*s[72] - 
       2*s[74] + 2*s[75] - 3*s[77] + 44*s[79] - (20*s[80])/3 + 105*s[82] + 
       24*s[84] + 36*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]^2*((-14*s[2])/3 + (1543*s[3])/24 + (23155*s[4])/48 + 
       (19387*s[5])/66 + (132009*s[6])/176 + (11566825*s[7])/1584 - 
       (602743*s[8])/891 - (3928579*s[9])/648 - (649459*s[10])/324 - 
       (75689101*s[11])/9504 - (41374381*s[12])/4752 - 
       (48045505*s[13])/9504 - (8293225*s[14])/9504 - (2155181*s[15])/216 - 
       (119032777*s[16])/9504 - (93723103*s[17])/9504 - 
       (5091925*s[18])/3888 - (2433073*s[19])/1944 - (156834719*s[20])/
        10692 - (442530493*s[21])/85536 + (323696345*s[22])/85536 + 
       (80498717*s[23])/9504 + (689687909*s[24])/85536 - 
       (7840055407*s[25])/769824 + (4259521831*s[26])/769824 + s[28]/8 - 
       (55*s[29])/12 + (37*s[30])/12 - (26*s[31])/3 - (5*s[32])/6 - 
       (131*s[33])/24 + (29*s[34])/3 + (143*s[35])/12 + (46*s[36])/9 + 
       (8063*s[37])/144 + (1379*s[38])/8 - (41489*s[39])/48 + 
       (141527*s[40])/144 - (18019*s[41])/24 + (184219*s[42])/144 + 
       (1161073*s[43])/1584 - (1321447*s[44])/1584 + (3122677*s[45])/3168 - 
       (2642225*s[46])/352 + (382385*s[47])/1188 + (279797*s[48])/4752 - 
       (16985543*s[49])/4752 + (4638899*s[50])/792 + (3951127*s[51])/4752 + 
       (1526765*s[52])/2376 - (4345417*s[53])/1056 + (46649*s[54])/528 - 
       (2307123*s[55])/88 - (7988419*s[56])/1188 + (73239565*s[57])/14256 - 
       (965047063*s[58])/85536 + (245261629*s[59])/21384 + 
       (3523386901*s[60])/57024 - (5142214337*s[61])/1539648 - (2*s[65])/3 - 
       (13*s[66])/6 + (14*s[67])/3 + (35*s[69])/6 - (23*s[70])/6 + 
       (107*s[71])/24 + (20*s[72])/3 - (27*s[73])/2 - (61*s[74])/12 + 
       (113*s[75])/24 + (15*s[76])/2 + (8*s[77])/3 + (17*s[78])/3 + 
       (320*s[79])/3 - (5635*s[80])/72 + s[81]/24 + (733*s[82])/2 + 2*s[83] + 
       (15*s[84])/2 + 37*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^3*
      ((21*s[2])/16 - (979*s[3])/96 + (127781*s[4])/192 + (212893*s[5])/528 + 
       (2248559*s[6])/2112 + (379656379*s[7])/38016 - (52495609*s[8])/57024 - 
       (10888547*s[9])/1296 - (6345179*s[10])/2592 - (420218341*s[11])/
        38016 - (116923391*s[12])/9504 - (31315195*s[13])/4224 - 
       (29832193*s[14])/38016 - (14926687*s[15])/1152 - 
       (26368103*s[16])/1584 - (469671731*s[17])/38016 - 
       (1735267*s[18])/972 - (22475837*s[19])/15552 - 
       (3309413777*s[20])/171072 - (2334979447*s[21])/342144 + 
       (1801655795*s[22])/342144 + (6647755*s[23])/528 + 
       (914761061*s[24])/85536 - (22043347319*s[25])/1539648 + 
       (11706932855*s[26])/1539648 - (41*s[29])/12 + (19*s[30])/6 + 
       (8*s[31])/3 - (11*s[32])/24 - (149*s[33])/32 - 5*s[34] - 
       (179*s[35])/24 - (2477*s[36])/72 + (5783*s[37])/144 + 
       (4577*s[38])/12 - (24979*s[39])/16 + (250129*s[40])/144 - 
       (65009*s[41])/48 + (326555*s[42])/144 + (2117297*s[43])/1584 - 
       (9089741*s[44])/6336 + (4833943*s[45])/3168 - (38270999*s[46])/3168 + 
       (10639147*s[47])/19008 + (2159863*s[48])/19008 - 
       (116340901*s[49])/19008 + (14725349*s[50])/1584 + 
       (29898503*s[51])/19008 + (23727641*s[52])/19008 - 
       (30653717*s[53])/4752 + (372545*s[54])/1584 - (257614757*s[55])/6336 - 
       (68171137*s[56])/6336 + (108966265*s[57])/9504 - 
       (120204905*s[58])/6336 + (364629469*s[59])/19008 + 
       (11216130685*s[60])/114048 - (2701292927*s[61])/513216 + s[63]/6 + 
       s[64]/24 - (19*s[65])/24 - (17*s[66])/6 + (55*s[67])/12 + 
       (9*s[68])/2 + (61*s[69])/12 + (9*s[70])/4 - s[71]/24 + (83*s[72])/12 - 
       (127*s[73])/12 - (135*s[74])/16 + (409*s[75])/48 - (23*s[76])/3 - 
       (65*s[77])/24 + (41*s[78])/4 + (397*s[79])/3 - (2275*s[80])/72 + 
       (273*s[82])/2 + (7*s[83])/4 + (125*s[84])/2 + 37*s[85]) + 
     HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*((173*s[2])/24 + 
       (379*s[3])/16 + (34003*s[4])/32 + (115523*s[5])/288 + 
       (200527*s[6])/144 + (66875557*s[7])/5184 - (5193485*s[8])/3888 - 
       (83137471*s[9])/7776 - (22139921*s[10])/7776 - (74995597*s[11])/5184 - 
       (42712795*s[12])/2592 - (643445*s[13])/64 - (318919*s[14])/5184 - 
       (28185205*s[15])/1728 - (9194881*s[16])/432 - (77412533*s[17])/5184 - 
       (53620865*s[18])/23328 - (41413039*s[19])/23328 - 
       (560576921*s[20])/23328 - (384971059*s[21])/46656 + 
       (316043621*s[22])/46656 + (152727*s[23])/8 + (39116789*s[24])/2916 - 
       (8055662677*s[25])/419904 + (4130180665*s[26])/419904 + (3*s[27])/8 - 
       (7*s[28])/8 - (11*s[29])/36 + (79*s[30])/12 + (179*s[31])/36 - 
       (31*s[32])/72 + (73*s[33])/36 - (109*s[34])/18 - (149*s[35])/36 - 
       (12535*s[36])/216 + (1001*s[37])/16 + (44039*s[38])/72 - 
       (714379*s[39])/288 + (2376445*s[40])/864 - (206051*s[41])/96 + 
       (3137639*s[42])/864 + (19320047*s[43])/9504 - (42248557*s[44])/19008 + 
       (742673*s[45])/352 - (83993521*s[46])/4752 + (56051543*s[47])/57024 - 
       (1670275*s[48])/57024 - (527774021*s[49])/57024 + 
       (64028755*s[50])/4752 + (143467393*s[51])/57024 + 
       (114671455*s[52])/57024 - (132253247*s[53])/14256 + 
       (2035619*s[54])/4752 - (368290753*s[55])/6336 - 
       (890032019*s[56])/57024 + (221016929*s[57])/10692 - 
       (14786572051*s[58])/513216 + (14931650251*s[59])/513216 + 
       (48665451053*s[60])/342144 - (17311138637*s[61])/2309472 + s[62] + 
       s[64]/8 - (113*s[65])/72 - (113*s[66])/18 + (85*s[67])/9 + 
       (61*s[68])/9 + (82*s[69])/9 + (179*s[70])/18 - (73*s[71])/72 + 
       (136*s[72])/9 - (80*s[73])/9 - 14*s[74] + (29*s[75])/2 - 
       (112*s[76])/9 - (107*s[77])/9 + (359*s[78])/18 + (671*s[79])/3 - 
       (2869*s[80])/72 - s[81]/12 - 2*s[82] - (5*s[83])/3 + (256*s[84])/3 + 
       (112*s[85])/3) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - v]*((21*s[2])/4 + (63*s[3])/4 + (9617*s[4])/144 + 
       (619*s[5])/6 + (10387*s[6])/48 + (1772015*s[7])/864 - 
       (162925*s[8])/1296 - (562495*s[9])/324 - (467749*s[10])/648 - 
       (1894501*s[11])/864 - (971089*s[12])/432 - (1131833*s[13])/864 - 
       (436927*s[14])/864 - (2566583*s[15])/864 - (1570195*s[16])/432 - 
       (904385*s[17])/288 - (78851*s[18])/243 - (1780723*s[19])/3888 - 
       (16906439*s[20])/3888 - (12230305*s[21])/7776 + (8295749*s[22])/7776 + 
       (131771*s[23])/108 + (4920413*s[24])/1944 - (93982205*s[25])/34992 + 
       (53396093*s[26])/34992 - s[30] + (3*s[32])/4 - (3*s[33])/2 + s[34] - 
       s[35] + (4*s[36])/3 - (23*s[37])/2 + (2815*s[38])/72 - 
       (7105*s[39])/48 + (2779*s[40])/16 - (20081*s[41])/144 + 
       (28327*s[42])/144 + (348829*s[43])/1584 - (647743*s[44])/3168 + 
       (59901*s[45])/176 - (1719167*s[46])/792 - (347507*s[47])/9504 + 
       (2215867*s[48])/9504 - (9787375*s[49])/9504 + (237473*s[50])/132 + 
       (476941*s[51])/3168 + (616541*s[52])/9504 - (3011309*s[53])/2376 - 
       (4529*s[54])/22 - (26024393*s[55])/3168 - (5854571*s[56])/3168 - 
       (244304*s[57])/297 - (8223095*s[58])/3168 + (26219725*s[59])/9504 + 
       (1100900479*s[60])/57024 - (134112331*s[61])/128304 - s[68] + s[69] + 
       2*s[70] + 4*s[73] + s[74]/2 - s[75]/2 + 2*s[76] - 2*s[77] - 2*s[78] - 
       4*s[79] - s[80] + 180*s[82] + 38*s[85]) + HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v]*((11*s[2])/4 + (45*s[3])/2 + 
       (6611*s[4])/144 + (2524*s[5])/33 + (191189*s[6])/1056 + 
       (14675359*s[7])/9504 - (2767615*s[8])/28512 - (3373973*s[9])/2592 - 
       (355525*s[10])/648 - (31059649*s[11])/19008 - (31570835*s[12])/19008 - 
       (287558*s[13])/297 - (2051803*s[14])/4752 - (1909799*s[15])/864 - 
       (6486571*s[16])/2376 - (1689955*s[17])/704 - (2111749*s[18])/7776 - 
       (2390693*s[19])/7776 - (142457995*s[20])/42768 - 
       (52781881*s[21])/42768 + (68117719*s[22])/85536 + 
       (17051581*s[23])/19008 + (318178721*s[24])/171072 - 
       (3051686461*s[25])/1539648 + (1808991409*s[26])/1539648 - s[32]/4 - 
       (8*s[36])/3 - (181*s[37])/12 - (215*s[38])/72 - (325*s[39])/12 + 
       (195*s[40])/4 - (6839*s[41])/144 + (4951*s[42])/144 + 
       (20069*s[43])/198 - (151589*s[44])/1584 + (74383*s[45])/264 - 
       (1180691*s[46])/792 - (164969*s[47])/2376 + (124129*s[48])/594 - 
       (1144423*s[49])/2376 + (13434*s[50])/11 + (10225*s[51])/396 - 
       (11303*s[52])/4752 - (1057627*s[53])/1188 - (6709*s[54])/66 - 
       (133865*s[55])/22 - (815411*s[56])/528 - (1003549*s[57])/792 - 
       (12097847*s[58])/7128 + (24915547*s[59])/14256 + 
       (379122929*s[60])/28512 - (223269661*s[61])/256608 - s[68] + s[69] + 
       s[71]/2 + 4*s[73] + 4*s[76] - s[77] - 2*s[78] - 8*s[79] - 
       (7*s[80])/6 + 218*s[82] + 38*s[85]) + HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*((37*s[2])/6 + (863*s[3])/48 + 
       (28117*s[4])/32 + (163553*s[5])/264 + (1612135*s[6])/1056 + 
       (133411331*s[7])/9504 - (4045699*s[8])/3564 - (30869851*s[9])/2592 - 
       (9211955*s[10])/2592 - (148234681*s[11])/9504 - 
       (82265965*s[12])/4752 - (99138551*s[13])/9504 - 
       (14734507*s[14])/9504 - (15513997*s[15])/864 - 
       (111015133*s[16])/4752 - (6081839*s[17])/352 - (21066533*s[18])/7776 - 
       (14761591*s[19])/7776 - (1186081421*s[20])/42768 - 
       (213342661*s[21])/21384 + (636104891*s[22])/85536 + 
       (20122595*s[23])/1188 + (1288335713*s[24])/85536 - 
       (958627435*s[25])/48114 + (8312737357*s[26])/769824 - (5*s[29])/3 + 
       (11*s[30])/6 + 5*s[31] - (23*s[32])/24 + (3*s[33])/16 - (35*s[34])/3 - 
       (3*s[35])/4 - (767*s[36])/18 + (2243*s[37])/48 + (4475*s[38])/8 - 
       (52091*s[39])/24 + (174485*s[40])/72 - (90953*s[41])/48 + 
       (893671*s[42])/288 + (1416727*s[43])/792 - (12486677*s[44])/6336 + 
       (5919241*s[45])/3168 - (48998495*s[46])/3168 + 
       (15795295*s[47])/19008 + (1486495*s[48])/19008 - 
       (155065699*s[49])/19008 + (4657283*s[50])/396 + 
       (43127597*s[51])/19008 + (34662269*s[52])/19008 - 
       (74972815*s[53])/9504 + (91459*s[54])/198 - (34890483*s[55])/704 - 
       (84794627*s[56])/6336 + (14853569*s[57])/792 - 
       (1446041351*s[58])/57024 + (1427117243*s[59])/57024 + 
       (14262756535*s[60])/114048 - (1667554253*s[61])/256608 + s[62]/4 - 
       s[65]/12 - s[66]/3 + (11*s[67])/6 + (10*s[68])/3 + s[69]/3 - 
       (13*s[70])/6 - (7*s[71])/8 + (15*s[72])/2 - (3*s[73])/2 - 
       (87*s[74])/8 + (87*s[75])/8 - (67*s[76])/6 + (7*s[77])/12 + 
       (21*s[78])/2 + (393*s[79])/2 - (2971*s[80])/72 + 108*s[82] + s[83]/4 + 
       (169*s[84])/2 + 38*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]^2*((-793*s[2])/72 - (517*s[3])/18 + 
       (103051*s[4])/72 + (3098659*s[5])/3168 + (7619347*s[6])/3168 + 
       (317811281*s[7])/14256 - (165835441*s[8])/85536 - 
       (146547149*s[9])/7776 - (42665575*s[10])/7776 - 
       (704202569*s[11])/28512 - (781144735*s[12])/28512 - 
       (236047505*s[13])/14256 - (28746853*s[14])/14256 - 
       (75200945*s[15])/2592 - (529089377*s[16])/14256 - 
       (65537539*s[17])/2376 - (95394529*s[18])/23328 - 
       (36654211*s[19])/11664 - (5579736601*s[20])/128304 - 
       (4028446211*s[21])/256608 + (754608397*s[22])/64152 + 
       (49281371*s[23])/1782 + (3065625353*s[24])/128304 - 
       (146605882021*s[25])/4618944 + (79383657625*s[26])/4618944 + s[28]/8 - 
       (35*s[29])/6 + (41*s[30])/12 - (11*s[31])/36 + (19*s[32])/36 - 
       (1195*s[33])/72 - (145*s[34])/18 - (683*s[35])/36 - (6973*s[36])/108 + 
       (42233*s[37])/432 + (33739*s[38])/36 - (519169*s[39])/144 + 
       (1714699*s[40])/432 - (445637*s[41])/144 + (2238497*s[42])/432 + 
       (15020249*s[43])/4752 - (31025095*s[44])/9504 + 
       (31647709*s[45])/9504 - (256103957*s[46])/9504 + 
       (35043617*s[47])/28512 + (8749151*s[48])/28512 - 
       (406029383*s[49])/28512 + (97797605*s[50])/4752 + 
       (100158151*s[51])/28512 + (81978793*s[52])/28512 - 
       (406537531*s[53])/28512 + (921607*s[54])/2376 - 
       (854026225*s[55])/9504 - (74423071*s[56])/3168 + 
       (376182523*s[57])/14256 - (227105231*s[58])/5346 + 
       (3697857617*s[59])/85536 + (4691593657*s[60])/21384 - 
       (1941995555*s[61])/171072 - (7*s[62])/8 + s[64]/8 - (55*s[65])/72 - 
       (55*s[66])/18 + (119*s[67])/18 + (193*s[68])/36 + (83*s[69])/18 + 
       (37*s[70])/36 - (47*s[71])/18 + (257*s[72])/18 - (31*s[73])/3 - 
       (133*s[74])/8 + (69*s[75])/4 - (181*s[76])/18 - (23*s[77])/9 + 
       (163*s[78])/9 + (2357*s[79])/9 - (10171*s[80])/216 + s[81]/24 - 
       (135*s[82])/2 + (8*s[83])/3 + (263*s[84])/2 + (115*s[85])/3) + 
     HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v]*((677*s[2])/72 + 
       (2509*s[3])/48 + (118927*s[4])/288 + (658883*s[5])/1584 + 
       (3055573*s[6])/3168 + (474410275*s[7])/57024 - (48507187*s[8])/85536 - 
       (27296101*s[9])/3888 - (1218709*s[10])/486 - (514768849*s[11])/57024 - 
       (274054705*s[12])/28512 - (108214603*s[13])/19008 - 
       (102706831*s[14])/57024 - (2179163*s[15])/192 - 
       (136505581*s[16])/9504 - (667244471*s[17])/57024 - 
       (9520387*s[18])/5832 - (29744363*s[19])/23328 - 
       (4447983977*s[20])/256608 - (3343557805*s[21])/513216 + 
       (2230820453*s[22])/513216 + (19236121*s[23])/2376 + 
       (1194727175*s[24])/128304 - (25654370897*s[25])/2309472 + 
       (14930760719*s[26])/2309472 - (7*s[28])/8 + (43*s[29])/12 - 
       (29*s[30])/12 - (245*s[31])/36 + (77*s[32])/72 - (179*s[33])/36 + 
       (451*s[34])/36 + (52*s[35])/9 - (5*s[36])/108 - (11*s[37])/12 + 
       (16487*s[38])/72 - (15569*s[39])/18 + (27053*s[40])/27 - 
       (12917*s[41])/16 + (33037*s[42])/27 + (89321*s[43])/108 - 
       (754147*s[44])/864 + (156937*s[45])/144 - (3384083*s[46])/432 + 
       (618719*s[47])/2592 + (859187*s[48])/2592 - (9804791*s[49])/2592 + 
       (2609885*s[50])/432 + (2266075*s[51])/2592 + (1768639*s[52])/2592 - 
       (5399173*s[53])/1296 - (11927*s[54])/432 - (23364731*s[55])/864 - 
       (18592541*s[56])/2592 + (2584943*s[57])/486 - (276902971*s[58])/
        23328 + (278833705*s[59])/23328 + (1015798667*s[60])/15552 - 
       (94008683*s[61])/26244 + (11*s[62])/8 + s[64]/8 + (91*s[65])/72 + 
       (19*s[66])/18 - (29*s[67])/18 + (7*s[68])/18 - (19*s[69])/9 + 
       (229*s[70])/18 - (253*s[71])/72 + (10*s[72])/9 + (125*s[73])/18 - 
       (38*s[74])/9 + (85*s[75])/18 + (55*s[76])/6 - (152*s[77])/9 + 
       (41*s[78])/9 + (284*s[79])/3 - (815*s[80])/36 - s[81]/12 + 127*s[82] - 
       (25*s[83])/6 + 41*s[84] + (116*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]^2*
      ((193*s[2])/48 + (2573*s[3])/96 + (89567*s[4])/192 + 
       (160537*s[5])/528 + (1710001*s[6])/2112 + (281119115*s[7])/38016 - 
       (4023763*s[8])/6336 - (1781765*s[9])/288 - (567881*s[10])/288 - 
       (102815951*s[11])/12672 - (3122483*s[12])/352 - 
       (201851875*s[13])/38016 - (11058767*s[14])/12672 - 
       (34377377*s[15])/3456 - (119353411*s[16])/9504 - 
       (369512327*s[17])/38016 - (3296383*s[18])/2592 - 
       (6306979*s[19])/5184 - (835158523*s[20])/57024 - 
       (591405553*s[21])/114048 + (147049223*s[22])/38016 + 
       (79637243*s[23])/9504 + (19569193*s[24])/2376 - 
       (1335755519*s[25])/128304 + (180210881*s[26])/32076 + s[27]/24 - 
       (11*s[29])/12 + (11*s[30])/8 + (2*s[31])/3 - (2*s[32])/3 - 
       (53*s[33])/48 + (13*s[34])/24 - (43*s[35])/8 - (295*s[36])/18 + 
       (1351*s[37])/72 + (731*s[38])/3 - (24067*s[39])/24 + 
       (40373*s[40])/36 - (21239*s[41])/24 + (208519*s[42])/144 + 
       (727451*s[43])/792 - (6107911*s[44])/6336 + (104780*s[45])/99 - 
       (363563*s[46])/44 + (5711225*s[47])/19008 + (3810953*s[48])/19008 - 
       (79978259*s[49])/19008 + (2538139*s[50])/396 + 
       (18870061*s[51])/19008 + (14459719*s[52])/19008 - 
       (14180975*s[53])/3168 + (41815*s[54])/528 - (179813387*s[55])/6336 - 
       (139210609*s[56])/19008 + (175816937*s[57])/28512 - 
       (2136922571*s[58])/171072 + (2186311043*s[59])/171072 + 
       (7792432325*s[60])/114048 - (2776649737*s[61])/769824 - s[65]/6 - 
       (2*s[66])/3 + (4*s[67])/3 + (3*s[68])/4 + (17*s[69])/6 + (5*s[70])/6 + 
       (11*s[71])/24 + (49*s[72])/12 - (11*s[73])/4 - (71*s[74])/16 + 
       (211*s[75])/48 - (10*s[76])/3 - (31*s[77])/24 + (61*s[78])/12 + 
       (260*s[79])/3 - (230*s[80])/9 + (327*s[82])/2 + s[83]/2 + 36*s[84] + 
       39*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
      ((47*s[2])/16 + (289*s[3])/32 + (40889*s[4])/64 + (248485*s[5])/528 + 
       (2457535*s[6])/2112 + (15115851*s[7])/1408 - (49732721*s[8])/57024 - 
       (23498471*s[9])/2592 - (7493965*s[10])/2592 - (446233445*s[11])/
        38016 - (242763629*s[12])/19008 - (290656277*s[13])/38016 - 
       (54962663*s[14])/38016 - (49994287*s[15])/3456 - 
       (86530291*s[16])/4752 - (539372399*s[17])/38016 - 
       (14862049*s[18])/7776 - (25782733*s[19])/15552 - 
       (3674376283*s[20])/171072 - (2657348849*s[21])/342144 + 
       (1932808441*s[22])/342144 + (230592653*s[23])/19008 + 
       (2021915759*s[24])/171072 - (5745819073*s[25])/384912 + 
       (395694707*s[26])/48114 - s[29]/3 + (13*s[30])/12 + s[31]/2 - 
       (5*s[32])/6 + (127*s[33])/96 + (3*s[34])/2 - (7*s[35])/8 - 
       (353*s[36])/18 + (817*s[37])/24 + (4211*s[38])/12 - 
       (138145*s[39])/96 + (469235*s[40])/288 - (122639*s[41])/96 + 
       (602083*s[42])/288 + (4138405*s[43])/3168 - (543551*s[44])/396 + 
       (1213769*s[45])/792 - (4172855*s[46])/352 + (527785*s[47])/1188 + 
       (2320721*s[48])/9504 - (3523379*s[49])/594 + (14530919*s[50])/1584 + 
       (13476931*s[51])/9504 + (10742407*s[52])/9504 - (562707*s[53])/88 + 
       (26735*s[54])/176 - (43015963*s[55])/1056 - (50561519*s[56])/4752 + 
       (270956971*s[57])/28512 - (389135933*s[58])/21384 + 
       (1588964621*s[59])/85536 + (2783990923*s[60])/28512 - 
       (7981064473*s[61])/1539648 - s[64]/24 - (5*s[65])/24 - (2*s[66])/3 + 
       (2*s[67])/3 + (2*s[68])/3 + (2*s[69])/3 - s[70]/6 - (7*s[71])/8 + 
       (55*s[72])/12 - (25*s[73])/12 - (89*s[74])/16 + (91*s[75])/16 + 
       s[76]/3 - (17*s[77])/24 + (65*s[78])/12 + (473*s[79])/3 - 
       (803*s[80])/18 + 199*s[82] + (3*s[83])/16 + (407*s[84])/8 + 
       39*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*((7*s[2])/6 + (299*s[3])/12 + (1489*s[4])/6 + 
       (845*s[5])/66 + (85909*s[6])/264 + (1874321*s[7])/594 - 
       (1999549*s[8])/7128 - (1639733*s[9])/648 - (158473*s[10])/162 - 
       (17609611*s[11])/4752 - (20326355*s[12])/4752 - (2090173*s[13])/792 - 
       (192869*s[14])/2376 - (34105*s[15])/9 - (1444583*s[16])/264 - 
       (18027473*s[17])/4752 - (71822*s[18])/243 - (224491*s[19])/243 - 
       (16085572*s[20])/2673 - (9535091*s[21])/5346 + (4471040*s[22])/2673 + 
       (3910351*s[23])/1584 + (175160465*s[24])/42768 - 
       (1888558831*s[25])/384912 + (875490085*s[26])/384912 + s[28]/3 - 
       8*s[29] - (10*s[31])/3 + s[32] + (29*s[34])/3 - (101*s[35])/6 - 
       (511*s[36])/36 - (115*s[37])/9 + (1217*s[38])/12 - (5269*s[39])/16 + 
       (54553*s[40])/144 - (5091*s[41])/16 + (57959*s[42])/144 + 
       (566411*s[43])/1584 - (1197283*s[44])/3168 + (97349*s[45])/396 - 
       (3708169*s[46])/1584 - (58159*s[47])/9504 + (3307775*s[48])/9504 - 
       (18548447*s[49])/9504 + (394435*s[50])/198 + (2525911*s[51])/9504 + 
       (1863397*s[52])/9504 - (1358189*s[53])/1188 - (319015*s[54])/396 - 
       (21771757*s[55])/3168 - (412143*s[56])/352 + (2131291*s[57])/1188 - 
       (95653517*s[58])/28512 + (97635575*s[59])/28512 + 
       (1256317061*s[60])/57024 - (7301839*s[61])/9504 - (5*s[64])/6 - 
       s[65] - (5*s[66])/3 + (29*s[67])/3 + 7*s[68] + (32*s[69])/3 + 
       (35*s[70])/3 + (7*s[71])/3 - (11*s[72])/3 - (41*s[73])/6 - 
       (23*s[74])/12 + (7*s[75])/4 + (31*s[76])/3 - (73*s[77])/6 - 
       (13*s[78])/6 + (10*s[79])/3 - (373*s[80])/18 + 134*s[82] + s[83] - 
       8*s[84] + 40*s[85]) + HPL[{0, 0, 1}, 1 - w]*Omega2[u, v, w]*
      ((41*s[2])/2 - (65*s[3])/4 - (79*s[4])/8 + (11513*s[5])/44 + 
       (43405*s[6])/88 + (5198617*s[7])/1584 - (104953*s[8])/2376 - 
       (318205*s[9])/108 - (124775*s[10])/108 - (5523757*s[11])/1584 - 
       (1367711*s[12])/396 - (362195*s[13])/176 - (2536777*s[14])/1584 - 
       (218093*s[15])/48 - (1503119*s[16])/264 - (8056259*s[17])/1584 - 
       (126061*s[18])/162 - (207713*s[19])/648 - (54240173*s[20])/7128 - 
       (45574855*s[21])/14256 + (25114187*s[22])/14256 + (130393*s[23])/88 + 
       (26926909*s[24])/7128 - (246044675*s[25])/64152 + 
       (171702623*s[26])/64152 + 6*s[29] - 6*s[30] + 6*s[31] + s[33] - 
       s[34] + 7*s[35] + 15*s[36] + (17*s[37])/6 + 63*s[38] - (403*s[39])/2 + 
       (527*s[40])/2 - (401*s[41])/2 + (527*s[42])/2 + (5693*s[43])/22 - 
       (10445*s[44])/44 + (53131*s[45])/132 - (337471*s[46])/132 - 
       (769*s[47])/132 + (37313*s[48])/132 - (137789*s[49])/132 + 
       (41493*s[50])/22 + (9003*s[51])/44 + (24427*s[52])/132 - 
       (494387*s[53])/396 + (5699*s[54])/33 - (93396*s[55])/11 - 
       (1032811*s[56])/396 + (811535*s[57])/594 - (13695707*s[58])/3564 + 
       (6363865*s[59])/1782 + (8567639*s[60])/396 - (81493813*s[61])/64152 + 
       s[65] + 3*s[66] - 6*s[67] - s[68] - 11*s[69] + 2*s[70] - s[71] - 
       2*s[72] + 6*s[73] + (5*s[74])/2 - (5*s[75])/2 - 8*s[76] + 5*s[77] - 
       8*s[78] + 56*s[79] - (67*s[80])/3 + 116*s[82] - 3*s[83] + 30*s[84] + 
       40*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - w]*((9*s[2])/2 + (71*s[3])/4 + (3115*s[4])/9 + 
       (461983*s[5])/1584 + (136073*s[6])/198 + (58380637*s[7])/9504 - 
       (46426*s[8])/99 - (748277*s[9])/144 - (26851*s[10])/16 - 
       (10622231*s[11])/1584 - (22967675*s[12])/3168 - 
       (41344997*s[13])/9504 - (3115091*s[14])/3168 - (2389273*s[15])/288 - 
       (49574191*s[16])/4752 - (39148409*s[17])/4752 - (724475*s[18])/648 - 
       (1219487*s[19])/1296 - (176897543*s[20])/14256 - 
       (129247301*s[21])/28512 + (10213231*s[22])/3168 + 
       (63100093*s[23])/9504 + (64499881*s[24])/9504 - 
       (2170805873*s[25])/256608 + (1211304839*s[26])/256608 + (3*s[30])/4 + 
       (3*s[31])/2 - s[32]/2 + (9*s[33])/16 - (5*s[34])/4 - (7*s[35])/6 - 
       (51*s[36])/4 + (673*s[37])/36 + (1840*s[38])/9 - (57199*s[39])/72 + 
       (64793*s[40])/72 - (25535*s[41])/36 + (81547*s[42])/72 + 
       (593147*s[43])/792 - (34131*s[44])/44 + (492047*s[45])/528 - 
       (3649955*s[46])/528 + (1037233*s[47])/4752 + (974467*s[48])/4752 - 
       (8075951*s[49])/2376 + (2120453*s[50])/396 + (929059*s[51])/1188 + 
       (184517*s[52])/297 - (17773733*s[53])/4752 + (70007*s[54])/792 - 
       (114214039*s[55])/4752 - (2480405*s[56])/396 + (3624047*s[57])/792 - 
       (147927611*s[58])/14256 + (18868765*s[59])/1782 + 
       (1637720287*s[60])/28512 - (788734493*s[61])/256608 + s[70]/2 - 
       s[71]/2 + 3*s[72] - (41*s[74])/12 + (41*s[75])/12 - (10*s[76])/3 - 
       (4*s[77])/3 + (5*s[78])/2 + 77*s[79] - (56*s[80])/3 + (485*s[82])/3 + 
       36*s[84] + 40*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v]*((23*s[2])/2 + 12*s[3] + 705*s[4] + 
       (23123*s[5])/88 + (81297*s[6])/88 + (1725595*s[7])/198 - 
       (238069*s[8])/264 - (173461*s[9])/24 - (44209*s[10])/24 - 
       (651205*s[11])/66 - (249949*s[12])/22 - (2763061*s[13])/396 + 
       (11339*s[14])/66 - (768481*s[15])/72 - (1402756*s[16])/99 - 
       (7575121*s[17])/792 - (339215*s[18])/216 - (63145*s[19])/54 - 
       (9502705*s[20])/594 - (12850025*s[21])/2376 + (908449*s[22])/198 + 
       (10308097*s[23])/792 + (7095917*s[24])/792 - (563104567*s[25])/42768 + 
       (283095919*s[26])/42768 - s[27]/2 - 4*s[29] + 5*s[30] + 10*s[31] + 
       s[32] + (13*s[33])/2 - 20*s[34] - 7*s[35] - (133*s[36])/3 + 
       (439*s[37])/12 + 422*s[38] - (6433*s[39])/4 + (20923*s[40])/12 - 
       (5391*s[41])/4 + (27557*s[42])/12 + (175817*s[43])/132 - 
       (373927*s[44])/264 + (375869*s[45])/264 - (1018955*s[46])/88 + 
       (240145*s[47])/396 + (11453*s[48])/198 - (2408869*s[49])/396 + 
       (288752*s[50])/33 + (314245*s[51])/198 + (1038577*s[52])/792 - 
       (529349*s[53])/88 + (5155*s[54])/22 - (1657721*s[55])/44 - 
       (2008273*s[56])/198 + (15568235*s[57])/1188 - (133745741*s[58])/7128 + 
       (67086193*s[59])/3564 + (442055717*s[60])/4752 - 
       (632527957*s[61])/128304 + s[62]/2 - s[65] - 4*s[66] + 6*s[67] + 
       9*s[68] + 5*s[69] + 2*s[70] - s[71] + 10*s[72] - 6*s[73] - 
       (21*s[74])/2 + (21*s[75])/2 - 18*s[76] + 19*s[78] + 82*s[79] + 
       (31*s[80])/6 - 16*s[82] + 3*s[83] + 66*s[84] + 40*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-17*s[2])/2 + (311*s[3])/12 + (18305*s[4])/24 + (3392*s[5])/11 + 
       (92327*s[6])/88 + (47483639*s[7])/4752 - (6605597*s[8])/7128 - 
       (2693489*s[9])/324 - (830749*s[10])/324 - (52153577*s[11])/4752 - 
       (28720277*s[12])/2376 - (11532395*s[13])/1584 - (3097247*s[14])/4752 - 
       (643057*s[15])/48 - (13377131*s[16])/792 - (61096759*s[17])/4752 - 
       (397480*s[18])/243 - (3285739*s[19])/1944 - (411468961*s[20])/21384 - 
       (281607209*s[21])/42768 + (223796233*s[22])/42768 + 
       (2443175*s[23])/198 + (117093703*s[24])/10692 - 
       (344609198*s[25])/24057 + (358530721*s[26])/48114 - (2*s[29])/3 + 
       4*s[30] + (14*s[31])/3 - (5*s[32])/6 + (79*s[33])/12 - (20*s[34])/3 - 
       (23*s[35])/3 - (362*s[36])/9 + (31*s[37])/6 + (986*s[38])/3 - 
       (16825*s[39])/12 + (56303*s[40])/36 - (5153*s[41])/4 + 
       (75283*s[42])/36 + (468673*s[43])/396 - (1002569*s[44])/792 + 
       (13367*s[45])/11 - (4116751*s[46])/396 + (1221685*s[47])/2376 - 
       (16145*s[48])/2376 - (12861055*s[49])/2376 + (1613927*s[50])/198 + 
       (3503963*s[51])/2376 + (2674451*s[52])/2376 - (6696719*s[53])/1188 + 
       (27127*s[54])/198 - (3092163*s[55])/88 - (21694705*s[56])/2376 + 
       (36270299*s[57])/3564 - (347707913*s[58])/21384 + 
       (356112563*s[59])/21384 + (1205325997*s[60])/14256 - 
       (836677355*s[61])/192456 - s[65]/3 - (4*s[66])/3 + (4*s[67])/3 + 
       (19*s[68])/3 + (19*s[69])/3 - (2*s[70])/3 - (5*s[71])/3 + 
       (34*s[72])/3 - (20*s[73])/3 - (21*s[74])/2 + (21*s[75])/2 - 
       (40*s[76])/3 - (2*s[77])/3 + (46*s[78])/3 + 164*s[79] - (70*s[80])/3 - 
       36*s[82] + s[83] + 82*s[84] + 40*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((-25*s[2])/12 + (237*s[3])/8 + (17669*s[4])/16 + (11213*s[5])/24 + 
       (12527*s[6])/8 + (1396697*s[7])/96 - (114196*s[8])/81 - 
       (15644071*s[9])/1296 - (2286643*s[10])/648 - (7005317*s[11])/432 - 
       (15747965*s[12])/864 - (9553897*s[13])/864 - (543307*s[14])/864 - 
       (16194181*s[15])/864 - (10500929*s[16])/432 - (3807595*s[17])/216 - 
       (9658493*s[18])/3888 - (4392683*s[19])/1944 - (107781197*s[20])/3888 - 
       (74243185*s[21])/7776 + (59408663*s[22])/7776 + (16481765*s[23])/864 + 
       (121701257*s[24])/7776 - (1489518067*s[25])/69984 + 
       (772761199*s[26])/69984 - (16*s[29])/3 + (43*s[30])/6 + (4*s[31])/3 - 
       (5*s[32])/3 + (13*s[33])/4 - (11*s[34])/2 - (23*s[35])/2 - 
       (379*s[36])/6 + (191*s[37])/4 + 565*s[38] - (27989*s[39])/12 + 
       (30979*s[40])/12 - (12241*s[41])/6 + (81265*s[42])/24 + 
       (263885*s[43])/132 - (71443*s[44])/33 + (563567*s[45])/264 - 
       (4640567*s[46])/264 + (615869*s[47])/792 + (186341*s[48])/792 - 
       (7330535*s[49])/792 + (148776*s[50])/11 + (200913*s[51])/88 + 
       (362185*s[52])/198 - (7378537*s[53])/792 + (22217*s[54])/132 - 
       (11600057*s[55])/198 - (4080797*s[56])/264 + (6921569*s[57])/396 - 
       (1220127*s[58])/44 + (22289105*s[59])/792 + (340185805*s[60])/2376 - 
       (80092043*s[61])/10692 - (5*s[65])/3 - (20*s[66])/3 + 9*s[67] + 
       (13*s[68])/3 + (49*s[69])/3 - (4*s[70])/3 - s[71]/3 + 15*s[72] - 
       (35*s[73])/3 - (61*s[74])/4 + (61*s[75])/4 - 15*s[76] - (35*s[77])/6 + 
       31*s[78] + (584*s[79])/3 - (199*s[80])/6 + (263*s[82])/2 + 5*s[83] + 
       88*s[84] + 40*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]*((-1961*s[2])/144 + (25115*s[3])/288 + 
       (237809*s[4])/576 + (73363*s[5])/3168 + (1803209*s[6])/6336 + 
       (405269617*s[7])/114048 - (82950107*s[8])/171072 - (680488*s[9])/243 - 
       (3334559*s[10])/3888 - (451553831*s[11])/114048 - 
       (32640937*s[12])/7128 - (299944069*s[13])/114048 + 
       (34024189*s[14])/114048 - (49600295*s[15])/10368 - 
       (43844869*s[16])/7128 - (168704627*s[17])/38016 - 
       (2978131*s[18])/5832 - (36348859*s[19])/46656 - 
       (3375522823*s[20])/513216 - (1995670769*s[21])/1026432 + 
       (1860795817*s[22])/1026432 + (40236149*s[23])/7128 + 
       (991872685*s[24])/256608 - (25259650771*s[25])/4618944 + 
       (11876486827*s[26])/4618944 + s[27]/8 - s[28]/8 - 6*s[29] + 
       (149*s[30])/24 - (425*s[31])/36 - (167*s[32])/36 + (391*s[33])/144 + 
       (977*s[34])/72 + (131*s[35])/72 - (725*s[36])/54 + (11483*s[37])/432 + 
       (9833*s[38])/72 - (207353*s[39])/288 + (712259*s[40])/864 - 
       (182947*s[41])/288 + (934273*s[42])/864 + (5075941*s[43])/9504 - 
       (3276059*s[44])/4752 + (7183195*s[45])/9504 - (6961165*s[46])/1188 + 
       (2270153*s[47])/7128 - (1949143*s[48])/28512 - 
       (39156901*s[49])/14256 + (22186001*s[50])/4752 + 
       (21941323*s[51])/28512 + (15919885*s[52])/28512 - 
       (91485781*s[53])/28512 - (21767*s[54])/594 - (193208239*s[55])/9504 - 
       (12444259*s[56])/2376 + (51563333*s[57])/9504 - 
       (791438689*s[58])/85536 + (795836059*s[59])/85536 + 
       (8229618167*s[60])/171072 - (2032396325*s[61])/769824 - s[64]/8 - 
       (115*s[65])/72 - (62*s[66])/9 + (367*s[67])/36 - (83*s[68])/36 + 
       (619*s[69])/36 - (83*s[70])/36 + (119*s[71])/36 + (235*s[72])/36 - 
       (61*s[73])/4 - (319*s[74])/48 + (301*s[75])/48 + (43*s[76])/9 - 
       (901*s[77])/72 + (463*s[78])/36 + (875*s[79])/9 - (9727*s[80])/216 + 
       (671*s[82])/2 + (13*s[83])/6 + (29*s[84])/2 + (127*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - u]*
      ((61*s[2])/2 + 36*s[3] + (4931*s[4])/8 + (42189*s[5])/88 + 
       (100711*s[6])/88 + (2798141*s[7])/264 - (307811*s[8])/396 - 
       (80557*s[9])/9 - (208429*s[10])/72 - (6213103*s[11])/528 - 
       (6782117*s[12])/528 - (172377*s[13])/22 - (319967*s[14])/264 - 
       (42019*s[15])/3 - (1573579*s[16])/88 - (7253957*s[17])/528 - 
       (390763*s[18])/216 - (198505*s[19])/108 - (24821293*s[20])/1188 - 
       (4516733*s[21])/594 + (1657421*s[22])/297 + (1994983*s[23])/176 + 
       (56849603*s[24])/4752 - (320324879*s[25])/21384 + 
       (174655847*s[26])/21384 - 3*s[30] + 10*s[31] + (17*s[32])/4 + 
       (21*s[33])/4 - 22*s[34] - 7*s[35] - (134*s[36])/3 - (21*s[37])/8 + 
       (911*s[38])/2 - (3311*s[39])/2 + (10993*s[40])/6 - 1455*s[41] + 
       (13703*s[42])/6 + (9961*s[43])/6 - (40159*s[44])/24 + 
       (27827*s[45])/16 - (652643*s[46])/48 + (21011*s[47])/72 + 
       (48899*s[48])/72 - (553457*s[49])/72 + (255103*s[50])/24 + 
       (109537*s[51])/72 + (85243*s[52])/72 - (1053781*s[53])/144 - 
       (1082*s[54])/3 - (138830*s[55])/3 - (405937*s[56])/36 + 
       (891655*s[57])/108 - (25705025*s[58])/1296 + (13376803*s[59])/648 + 
       (99366301*s[60])/864 - (132561367*s[61])/23328 - s[64]/2 - 
       (9*s[65])/4 - 3*s[66] + 10*s[67] - 2*s[68] + 22*s[69] + (15*s[70])/2 + 
       s[71] + 10*s[72] - 28*s[73] - 7*s[74] + 5*s[75] + 3*s[76] - 
       (31*s[77])/2 + 8*s[78] + 52*s[79] - (21*s[80])/4 + 73*s[82] + 
       (15*s[83])/4 + (27*s[84])/2 + 44*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Omega2[v, w, u]*
      ((23*s[2])/6 + (895*s[3])/12 + (10613*s[4])/12 + (9185*s[5])/24 + 
       (29933*s[6])/24 + (5086309*s[7])/432 - (732029*s[8])/648 - 
       (3152149*s[9])/324 - (1935931*s[10])/648 - (5657957*s[11])/432 - 
       (3165473*s[12])/216 - (3798997*s[13])/432 - (299453*s[14])/432 - 
       (6652177*s[15])/432 - (4298057*s[16])/216 - (2125373*s[17])/144 - 
       (486611*s[18])/243 - (3849509*s[19])/1944 - (44144941*s[20])/1944 - 
       (30342821*s[21])/3888 + (23902927*s[22])/3888 + (3227605*s[23])/216 + 
       (25070033*s[24])/1944 - (149724587*s[25])/8748 + 
       (78013739*s[26])/8748 - 8*s[29] + (11*s[30])/2 - (11*s[31])/3 - 
       (14*s[32])/3 - (43*s[33])/24 + (17*s[34])/6 - (5*s[35])/3 - 
       (370*s[36])/9 + (547*s[37])/18 + (1246*s[38])/3 - (20917*s[39])/12 + 
       (69799*s[40])/36 - (18185*s[41])/12 + (91103*s[42])/36 + 
       (574193*s[43])/396 - (321289*s[44])/198 + (626279*s[45])/396 - 
       (1287184*s[46])/99 + (373529*s[47])/594 + (140551*s[48])/1188 - 
       (2035300*s[49])/297 + (993929*s[50])/99 + (2053727*s[51])/1188 + 
       (1618997*s[52])/1188 - (8168681*s[53])/1188 + (18193*s[54])/198 - 
       (17108297*s[55])/396 - (2244155*s[56])/198 + (15857813*s[57])/1188 - 
       (24518107*s[58])/1188 + (24784343*s[59])/1188 + 
       (755074861*s[60])/7128 - (178503353*s[61])/32076 - (5*s[65])/3 - 
       (20*s[66])/3 + (34*s[67])/3 + (10*s[68])/3 + (58*s[69])/3 - 
       (2*s[70])/3 + (5*s[71])/3 + (34*s[72])/3 - 18*s[73] - (23*s[74])/2 + 
       (23*s[75])/2 - (20*s[76])/3 - (23*s[77])/3 + (64*s[78])/3 + 
       (440*s[79])/3 - (401*s[80])/9 + 224*s[82] + 5*s[83] + 54*s[84] + 
       44*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Omega2[u, v, w]*
      ((29*s[2])/4 + (233*s[3])/8 + (9363*s[4])/16 + (9101*s[5])/24 + 
       (47851*s[6])/48 + (7936067*s[7])/864 - (1030925*s[8])/1296 - 
       (626021*s[9])/81 - (384041*s[10])/162 - (8722349*s[11])/864 - 
       (1198811*s[12])/108 - (1920037*s[13])/288 - (835889*s[14])/864 - 
       (387597*s[15])/32 - 15445*s[16] - (10184563*s[17])/864 - 
       (403330*s[18])/243 - (5326463*s[19])/3888 - (70261321*s[20])/3888 - 
       (49849883*s[21])/7776 + (37500427*s[22])/7776 + (394957*s[23])/36 + 
       (19255621*s[24])/1944 - (453989899*s[25])/34992 + 
       (244184707*s[26])/34992 - (2*s[29])/3 + (5*s[30])/2 + (14*s[31])/3 - 
       (2*s[32])/3 + (23*s[33])/6 - (61*s[34])/6 - (37*s[35])/6 - 
       (373*s[36])/18 + (163*s[37])/4 + (1763*s[38])/6 - (3752*s[39])/3 + 
       (25081*s[40])/18 - (4335*s[41])/4 + (32897*s[42])/18 + 
       (104911*s[43])/99 - (1825207*s[44])/1584 + (116371*s[45])/88 - 
       (8053697*s[46])/792 + (2213825*s[47])/4752 + (289001*s[48])/4752 - 
       (23187323*s[49])/4752 + (1551599*s[50])/198 + (6040873*s[51])/4752 + 
       (4755847*s[52])/4752 - (3244381*s[53])/594 + (44425*s[54])/198 - 
       (18287341*s[55])/528 - (43883837*s[56])/4752 + (63881947*s[57])/7128 - 
       (678120001*s[58])/42768 + (682178443*s[59])/42768 + 
       (2357672063*s[60])/28512 - (1741516999*s[61])/384912 - s[65]/3 - 
       (4*s[66])/3 + (4*s[67])/3 + (7*s[68])/3 + s[69]/3 + s[70]/3 + 
       s[71]/3 + (19*s[72])/3 - (11*s[73])/3 - (29*s[74])/4 + (29*s[75])/4 - 
       (25*s[76])/3 - s[77]/6 + (31*s[78])/3 + 120*s[79] - (187*s[80])/6 + 
       215*s[82] + s[83] + 58*s[84] + 44*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Omega2[w, u, v]*
      ((65*s[2])/4 - (99*s[3])/8 + (16671*s[4])/16 + (32941*s[5])/44 + 
       (329613*s[6])/176 + (53869267*s[7])/3168 - (2239033*s[8])/1584 - 
       (1036789*s[9])/72 - (309113*s[10])/72 - (19831667*s[11])/1056 - 
       (683764*s[12])/33 - (39640499*s[13])/3168 - (1997135*s[14])/1056 - 
       (6388705*s[15])/288 - (22454801*s[16])/792 - (67483651*s[17])/3168 - 
       (684967*s[18])/216 - (1006303*s[19])/432 - (159195295*s[20])/4752 - 
       (4274235*s[21])/352 + (85343789*s[22])/9504 + (8081723*s[23])/396 + 
       (43413131*s[24])/2376 - (21376129*s[25])/891 + (11678620*s[26])/891 - 
       2*s[29] + (3*s[30])/2 + 10*s[31] - s[32] + 6*s[33] - (37*s[34])/2 - 
       (17*s[35])/2 - (124*s[36])/3 + (187*s[37])/3 + (1309*s[38])/2 - 
       (20499*s[39])/8 + (68273*s[40])/24 - (17805*s[41])/8 + 
       (88627*s[42])/24 + (596383*s[43])/264 - (309737*s[44])/132 + 
       (81409*s[45])/33 - (1732647*s[46])/88 + (343693*s[47])/396 + 
       (234989*s[48])/792 - (1003006*s[49])/99 + (990691*s[50])/66 + 
       (2003623*s[51])/792 + (1637971*s[52])/792 - (341845*s[53])/33 + 
       (5292*s[54])/11 - (17313409*s[55])/264 - (3468205*s[56])/198 + 
       (45471073*s[57])/2376 - (110826505*s[58])/3564 + 
       (223703273*s[59])/7128 + (190644371*s[60])/1188 - 
       (1084712065*s[61])/128304 + 2*s[67] + 4*s[68] + 3*s[70] - 2*s[71] + 
       9*s[72] - 5*s[73] - (45*s[74])/4 + (45*s[75])/4 - 17*s[76] - 
       (5*s[77])/2 + 11*s[78] + 220*s[79] - (115*s[80])/3 + 40*s[82] + 
       108*s[84] + 44*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      Omega2[u, v, w]*((31*s[2])/3 - (175*s[3])/6 + (26101*s[4])/24 + 
       (183859*s[5])/264 + (239603*s[6])/132 + (39576421*s[7])/2376 - 
       (1310039*s[8])/891 - (1139359*s[9])/81 - (2643781*s[10])/648 - 
       (10958627*s[11])/594 - (6091061*s[12])/297 - (3677525*s[13])/297 - 
       (3565517*s[14])/2376 - (4663787*s[15])/216 - (16462267*s[16])/594 - 
       (2030357*s[17])/99 - (3027497*s[18])/972 - (2153701*s[19])/972 - 
       (173726741*s[20])/5346 - (31362799*s[21])/2673 + 
       (188198341*s[22])/21384 + (50267081*s[23])/2376 + 
       (378364441*s[24])/21384 - (2281429021*s[25])/96228 + 
       (309210274*s[26])/24057 - 4*s[29] + (7*s[30])/2 + (19*s[31])/3 - 
       (2*s[32])/3 + (131*s[33])/24 - (79*s[34])/6 - (32*s[35])/3 - 
       (481*s[36])/9 + (1069*s[37])/18 + (2017*s[38])/3 - (32281*s[39])/12 + 
       (107359*s[40])/36 - (28097*s[41])/12 + (70399*s[42])/18 + 
       (911573*s[43])/396 - (241196*s[44])/99 + (952601*s[45])/396 - 
       (3930455*s[46])/198 + (286834*s[47])/297 + (182845*s[48])/1188 - 
       (12354967*s[49])/1188 + (2997085*s[50])/198 + (792773*s[51])/297 + 
       (2591291*s[52])/1188 - (12404219*s[53])/1188 + (49325*s[54])/99 - 
       (26023289*s[55])/396 - (6958805*s[56])/396 + (8359759*s[57])/396 - 
       (56633275*s[58])/1782 + (57256207*s[59])/1782 + 
       (143321777*s[60])/891 - (270506851*s[61])/32076 - (2*s[65])/3 - 
       (8*s[66])/3 + (16*s[67])/3 + (16*s[68])/3 + (16*s[69])/3 + 
       (4*s[70])/3 - (4*s[71])/3 + (40*s[72])/3 - 12*s[73] - 14*s[74] + 
       14*s[75] - (44*s[76])/3 - (8*s[77])/3 + (64*s[78])/3 + (704*s[79])/3 - 
       (401*s[80])/9 + 44*s[82] + 2*s[83] + 108*s[84] + 44*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((209*s[2])/36 + (5807*s[3])/144 + (67439*s[4])/96 + 
       (947731*s[5])/1584 + (4288043*s[6])/3168 + (355800761*s[7])/28512 - 
       (81746531*s[8])/85536 - (5155549*s[9])/486 - (1629371*s[10])/486 - 
       (783347249*s[11])/57024 - (428272727*s[12])/28512 - 
       (509383321*s[13])/57024 - (105706061*s[14])/57024 - 
       (42946411*s[15])/2592 - (1201674913*s[16])/57024 - 
       (308336977*s[17])/19008 - (56911301*s[18])/23328 - 
       (5059721*s[19])/2916 - (6485385205*s[20])/256608 - 
       (4787137007*s[21])/513216 + (3379012825*s[22])/513216 + 
       (820441409*s[23])/57024 + (6948372061*s[24])/513216 - 
       (39901043845*s[25])/2309472 + (700050476*s[26])/72171 - (5*s[29])/6 + 
       (35*s[30])/12 + (26*s[31])/9 - (239*s[32])/72 + (181*s[33])/72 - 
       (127*s[34])/36 - (37*s[35])/36 - (653*s[36])/27 + (16273*s[37])/432 + 
       (31745*s[38])/72 - (62135*s[39])/36 + (208757*s[40])/108 - 
       (72277*s[41])/48 + (2132315*s[42])/864 + (1788925*s[43])/1188 - 
       (15353879*s[44])/9504 + (15910229*s[45])/9504 - 
       (126455119*s[46])/9504 + (16519573*s[47])/28512 + 
       (6950893*s[48])/28512 - (6165620*s[49])/891 + (24182633*s[50])/2376 + 
       (11986253*s[51])/7128 + (38981663*s[52])/28512 - 
       (98913157*s[53])/14256 + (763729*s[54])/4752 - 
       (419865773*s[55])/9504 - (56023859*s[56])/4752 + 
       (189063679*s[57])/14256 - (100452887*s[58])/4752 + 
       (37861921*s[59])/1782 + (18675262597*s[60])/171072 - 
       (4402853549*s[61])/769824 + s[65]/18 + (2*s[66])/9 + (13*s[67])/18 + 
       (11*s[68])/9 + (2*s[69])/9 - (25*s[70])/9 - s[71]/72 + (97*s[72])/18 - 
       (17*s[73])/6 - (181*s[74])/24 + (181*s[75])/24 - (197*s[76])/18 + 
       (47*s[77])/36 + (68*s[78])/9 + (2939*s[79])/18 - (9623*s[80])/216 + 
       183*s[82] - s[83]/6 + 67*s[84] + (134*s[85])/3) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^3*((263*s[2])/24 + (1279*s[3])/48 + 
       (45617*s[4])/96 + (1235*s[5])/4 + (76669*s[6])/96 + 
       (4218485*s[7])/576 - (1720675*s[8])/2592 - (7956131*s[9])/1296 - 
       (1212941*s[10])/648 - (13913731*s[11])/1728 - (1916515*s[12])/216 - 
       (9116977*s[13])/1728 - (1331995*s[14])/1728 - (16758907*s[15])/1728 - 
       (10677605*s[16])/864 - (16309585*s[17])/1728 - (5280853*s[18])/3888 - 
       (8190439*s[19])/7776 - (112412381*s[20])/7776 - 
       (80498149*s[21])/15552 + (59670725*s[22])/15552 + 
       (7852135*s[23])/864 + (61078657*s[24])/7776 - (722875403*s[25])/
        69984 + (392333753*s[26])/69984 - s[27]/12 - s[28]/24 - 3*s[29] + 
       (8*s[30])/3 + (9*s[31])/4 - (47*s[32])/24 + (155*s[33])/48 - 3*s[34] - 
       (13*s[35])/4 - (129*s[36])/8 + (799*s[37])/36 + (1291*s[38])/6 - 
       (93721*s[39])/96 + (104933*s[40])/96 - (81829*s[41])/96 + 
       (137815*s[42])/96 + (287013*s[43])/352 - (1910153*s[44])/2112 + 
       (396769*s[45])/396 - (24779519*s[46])/3168 + (2381935*s[47])/6336 + 
       (227629*s[48])/6336 - (24089545*s[49])/6336 + (3180719*s[50])/528 + 
       (2088347*s[51])/2112 + (4887683*s[52])/6336 - (10023469*s[53])/2376 + 
       (285467*s[54])/1584 - (18759701*s[55])/704 - (135311137*s[56])/19008 + 
       (50899589*s[57])/7128 - (2096133167*s[58])/171072 + 
       (2114338349*s[59])/171072 + (267899867*s[60])/4224 - 
       (5404075241*s[61])/1539648 + s[64]/24 - (5*s[65])/8 - (13*s[66])/6 + 
       (19*s[67])/6 + (19*s[68])/6 + (15*s[69])/4 + (11*s[70])/12 + 
       (25*s[71])/24 + (41*s[72])/6 - (59*s[73])/12 - (23*s[74])/4 + 
       (47*s[75])/8 - (13*s[76])/3 - (11*s[77])/3 + (41*s[78])/4 + 85*s[79] - 
       (1021*s[80])/36 + (453*s[82])/2 + (5*s[83])/4 + (83*s[84])/2 + 
       45*s[85]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((11*s[2])/4 + (321*s[3])/8 - (1955*s[4])/16 - 
       (151163*s[5])/1584 - (93353*s[6])/1584 - (7398053*s[7])/3564 + 
       (6482183*s[8])/21384 + (6710297*s[9])/3888 + (264353*s[10])/486 + 
       (61845673*s[11])/28512 + (69055325*s[12])/28512 + 
       (5783491*s[13])/4752 - (634325*s[14])/7128 + (140389*s[15])/48 + 
       (1877135*s[16])/528 + (80063519*s[17])/28512 + (1020829*s[18])/2916 + 
       (4189685*s[19])/11664 + (510510575*s[20])/128304 + 
       (159244319*s[21])/128304 - (34638961*s[22])/32076 - 
       (30955351*s[23])/9504 - (507935753*s[24])/256608 + 
       (1686750829*s[25])/577368 - (1645444355*s[26])/1154736 - (5*s[27])/6 + 
       (7*s[28])/3 + (47*s[29])/9 - (17*s[30])/3 + (10*s[31])/9 - 
       (41*s[32])/18 + (103*s[33])/72 + (23*s[34])/9 + (109*s[35])/18 + 
       (437*s[36])/27 - (697*s[37])/18 - (575*s[38])/18 + (8491*s[39])/18 - 
       (24421*s[40])/54 + (8099*s[41])/24 - (329017*s[42])/432 - 
       (89369*s[43])/594 + (1680259*s[44])/4752 - (64103*s[45])/396 + 
       (2978869*s[46])/1188 - (4578911*s[47])/14256 + (6610333*s[48])/14256 + 
       (1149491*s[49])/891 - (2555023*s[50])/1188 - (3255497*s[51])/7128 - 
       (4604275*s[52])/14256 + (11275735*s[53])/7128 - (19928*s[54])/297 + 
       (3491909*s[55])/396 + (13664065*s[56])/7128 - (131907071*s[57])/
        42768 + (496148011*s[58])/128304 - (529328329*s[59])/128304 - 
       (790843657*s[60])/42768 + (75313945*s[61])/72171 - (16*s[63])/3 - 
       (7*s[64])/6 + (71*s[65])/18 + (79*s[66])/9 - (127*s[67])/9 - 
       (61*s[68])/9 - (226*s[69])/9 + (392*s[70])/9 - (125*s[71])/18 - 
       (133*s[72])/9 + (107*s[73])/9 + (133*s[74])/12 - (113*s[75])/12 - 
       (11*s[76])/9 - (869*s[77])/18 - (133*s[78])/9 - 20*s[79] + 
       (349*s[80])/9 + s[82] - (71*s[83])/6 + (113*s[84])/3 + 
       (140*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - w]*((4*s[2])/3 + (107*s[3])/3 + (425*s[4])/4 - 
       (8*s[5])/11 + (50389*s[6])/264 + (169657*s[7])/132 - 
       (50665*s[8])/396 - (9029*s[9])/9 - (29741*s[10])/72 - 
       (31577*s[11])/22 - (275849*s[12])/176 - (167283*s[13])/176 - 
       (41249*s[14])/528 - 1721*s[15] - (1219921*s[16])/528 - 
       (159507*s[17])/88 - (36359*s[18])/216 - (34487*s[19])/108 - 
       (5773429*s[20])/2376 - (3654809*s[21])/4752 + (3082003*s[22])/4752 + 
       (41467*s[23])/33 + (3813581*s[24])/2376 - (81586643*s[25])/42768 + 
       (40538831*s[26])/42768 - (8*s[31])/3 - (4*s[32])/3 - 2*s[33] + 
       (16*s[34])/3 + 5*s[35] + (31*s[36])/9 - (103*s[37])/6 + s[38]/2 - 
       (329*s[39])/4 + (3881*s[40])/36 - (577*s[41])/6 + (1141*s[42])/9 + 
       (53203*s[43])/396 - (227395*s[44])/1584 + (75917*s[45])/396 - 
       (29829*s[46])/22 - (247615*s[47])/4752 + (1120697*s[48])/4752 - 
       (3099059*s[49])/4752 + (111241*s[50])/99 + (362881*s[51])/4752 + 
       (74743*s[52])/4752 - (600293*s[53])/792 - (24137*s[54])/132 - 
       (7530997*s[55])/1584 - (5847433*s[56])/4752 + (614173*s[57])/3564 - 
       (75340997*s[58])/42768 + (75293765*s[59])/42768 + 
       (338556353*s[60])/28512 - (67881059*s[61])/96228 - 4*s[68] + 4*s[69] + 
       (2*s[74])/3 - (2*s[75])/3 + (8*s[76])/3 - 4*s[77] - (8*s[78])/3 + 
       (16*s[79])/3 - (56*s[80])/9 + 223*s[82] + 48*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
      (6*s[2] + 40*s[3] + (67*s[4])/8 + (2545*s[5])/44 + (11397*s[6])/88 + 
       (542111*s[7])/528 - (199*s[8])/264 - (10435*s[9])/12 - 
       (1346*s[10])/3 - (195177*s[11])/176 - (48897*s[12])/44 - 
       (328411*s[13])/528 - (97565*s[14])/176 - (70361*s[15])/48 - 
       (62818*s[16])/33 - (915533*s[17])/528 - (1355*s[18])/6 - 
       (5033*s[19])/24 - (83726*s[20])/33 - (1559105*s[21])/1584 + 
       (840647*s[22])/1584 + (53221*s[23])/264 + (1050565*s[24])/792 - 
       (4363823*s[25])/3564 + (5934073*s[26])/7128 - 2*s[32] - 12*s[37] + 
       (29*s[38])/2 + (29*s[39])/8 + (163*s[40])/8 - (267*s[41])/8 - 
       (487*s[42])/8 + (7273*s[43])/88 - (17525*s[44])/176 + 
       (20149*s[45])/88 - (48507*s[46])/44 - (63433*s[47])/528 + 
       (160769*s[48])/528 - (252737*s[49])/528 + (9873*s[50])/11 - 
       (22655*s[51])/528 - (13601*s[52])/528 - (74647*s[53])/132 - 
       (2951*s[54])/22 - (2297693*s[55])/528 - (206373*s[56])/176 - 
       (182005*s[57])/132 - (1844309*s[58])/1584 + (1800593*s[59])/1584 + 
       (34562453*s[60])/3168 - (1455389*s[61])/2376 - 4*s[68] + 4*s[69] - 
       4*s[77] + 228*s[82] + 48*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u]*(-8*s[2] + 27*s[3] - (161*s[4])/8 + 
       (2583*s[5])/44 + (937*s[6])/11 + (101325*s[7])/176 + (2062*s[8])/99 - 
       (34745*s[9])/72 - (6967*s[10])/18 - (66631*s[11])/132 - 
       (172325*s[12])/528 - (65425*s[13])/528 - (352849*s[14])/528 - 
       (56437*s[15])/48 - (334973*s[16])/264 - (212455*s[17])/132 - 
       (5491*s[18])/54 - (42821*s[19])/216 - (1040489*s[20])/594 - 
       (3562639*s[21])/4752 + (1303817*s[22])/4752 - (336955*s[23])/528 + 
       (4270841*s[24])/4752 - (17273893*s[25])/42768 + 
       (19676497*s[26])/42768 - 8*s[31] - 6*s[33] + 16*s[34] + 16*s[35] + 
       (28*s[36])/3 - (64*s[37])/3 - (63*s[38])/2 + (1171*s[39])/8 - 
       (2873*s[40])/24 + (685*s[41])/8 - (5509*s[42])/24 + (3437*s[43])/264 + 
       (5363*s[44])/528 + (44713*s[45])/264 - (22641*s[46])/44 - 
       (317197*s[47])/1584 + (562253*s[48])/1584 - (81815*s[49])/1584 + 
       (34163*s[50])/66 - (274157*s[51])/1584 - (286865*s[52])/1584 - 
       (55109*s[53])/132 - (6825*s[54])/44 - (593453*s[55])/176 - 
       (1300237*s[56])/1584 - (1060559*s[57])/297 + (3086623*s[58])/14256 - 
       (138583*s[59])/14256 + (62618231*s[60])/9504 - 
       (26765107*s[61])/64152 - 4*s[68] + 4*s[69] + 2*s[74] - 2*s[75] + 
       8*s[76] - 4*s[77] - 8*s[78] + 16*s[79] - (56*s[80])/3 + 228*s[82] + 
       48*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - w]*
      (s[1] + 6*s[2] + 40*s[3] + (291*s[4])/8 + (2619*s[5])/44 + 
       (3771*s[6])/22 + (666275*s[7])/528 - (5747*s[8])/198 - 
       (75241*s[9])/72 - (9137*s[10])/18 - (180959*s[11])/132 - 
       (726325*s[12])/528 - (148583*s[13])/176 - (292313*s[14])/528 - 
       (87545*s[15])/48 - (25539*s[16])/11 - (559085*s[17])/264 - 
       (34439*s[18])/216 - (38561*s[19])/108 - (855770*s[20])/297 - 
       (4919633*s[21])/4752 + (3071377*s[22])/4752 + (19267*s[23])/176 + 
       (8255977*s[24])/4752 - (69783599*s[25])/42768 + 
       (41592917*s[26])/42768 - 2*s[32] - 12*s[37] + (31*s[38])/2 - 
       (9*s[39])/8 + (201*s[40])/8 - (239*s[41])/8 - (523*s[42])/8 + 
       (10243*s[43])/88 - (22475*s[44])/176 + (25231*s[45])/88 - 
       (62477*s[46])/44 - (77051*s[47])/528 + (185827*s[48])/528 - 
       (331915*s[49])/528 + (12612*s[50])/11 - (25493*s[51])/528 - 
       (26383*s[52])/528 - (103445*s[53])/132 - (3567*s[54])/22 - 
       (1028277*s[55])/176 - (251275*s[56])/176 - (291917*s[57])/132 - 
       (2115151*s[58])/1584 + (2255311*s[59])/1584 + (44495299*s[60])/3168 - 
       (32493*s[61])/44 - 4*s[68] + 4*s[69] - 4*s[77] + 285*s[82] + 
       48*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - w]*
      (-8*s[2] + 27*s[3] - (27*s[4])/8 + (1543*s[5])/44 + (3541*s[6])/44 + 
       (230201*s[7])/528 + (475*s[8])/22 - (2867*s[9])/8 - (1293*s[10])/4 - 
       (4559*s[11])/11 - (50991*s[12])/176 - (53173*s[13])/528 - 
       (89187*s[14])/176 - (41027*s[15])/48 - (133729*s[16])/132 - 
       (162287*s[17])/132 - (3397*s[18])/36 - (12277*s[19])/72 - 
       (272311*s[20])/198 - (934069*s[21])/1584 + (37383*s[22])/176 - 
       (268753*s[23])/528 + (384983*s[24])/528 - (4789747*s[25])/14256 + 
       (5274811*s[26])/14256 - 8*s[31] - 6*s[33] + 16*s[34] + 16*s[35] + 
       (28*s[36])/3 - (58*s[37])/3 - (65*s[38])/2 + (1013*s[39])/8 - 
       (2399*s[40])/24 + (527*s[41])/8 - (5227*s[42])/24 - (3973*s[43])/264 + 
       (1223*s[44])/528 + (37447*s[45])/264 - (18019*s[46])/44 - 
       (270505*s[47])/1584 + (456485*s[48])/1584 - (32999*s[49])/1584 + 
       (27851*s[50])/66 - (233513*s[51])/1584 - (241577*s[52])/1584 - 
       (19303*s[53])/66 - (8545*s[54])/44 - (446865*s[55])/176 - 
       (998629*s[56])/1584 - (1557475*s[57])/594 + (1743031*s[58])/14256 - 
       (840079*s[59])/14256 + (50849291*s[60])/9504 - 
       (22317055*s[61])/64152 - 4*s[68] + 4*s[69] + 2*s[74] - 2*s[75] + 
       8*s[76] - 4*s[77] - 8*s[78] + 16*s[79] - (56*s[80])/3 + 297*s[82] + 
       48*s[85]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      (8*s[2] + (167*s[3])/4 + (1899*s[4])/8 + (7891*s[5])/44 + 
       (11201*s[6])/22 + (6734579*s[7])/1584 - (180163*s[8])/594 - 
       (768323*s[9])/216 - (66577*s[10])/54 - (3686855*s[11])/792 - 
       (7945097*s[12])/1584 - (4844693*s[13])/1584 - (1341031*s[14])/1584 - 
       (830449*s[15])/144 - (719567*s[16])/99 - (383855*s[17])/66 - 
       (442201*s[18])/648 - (64324*s[19])/81 - (31028713*s[20])/3564 - 
       (44057677*s[21])/14256 + (31546703*s[22])/14256 + 
       (5801143*s[23])/1584 + (70715363*s[24])/14256 - 
       (757425565*s[25])/128304 + (418981357*s[26])/128304 + s[30] + 
       3*s[32] + s[33] - 3*s[34] - s[35] - (13*s[36])/3 + (5*s[37])/2 + 
       (267*s[38])/2 - 394*s[39] + (1393*s[40])/3 - (1435*s[41])/4 + 
       (5807*s[42])/12 + (32443*s[43])/66 - (126409*s[44])/264 + 
       (33073*s[45])/44 - (633521*s[46])/132 - (25141*s[47])/792 + 
       (334163*s[48])/792 - (1762985*s[49])/792 + (242899*s[50])/66 + 
       (279475*s[51])/792 + (228505*s[52])/792 - (521723*s[53])/198 + 
       (4300*s[54])/33 - (1545243*s[55])/88 - (3579149*s[56])/792 - 
       (57341*s[57])/1188 - (45854275*s[58])/7128 + (47038027*s[59])/7128 + 
       (198871835*s[60])/4752 - (71143229*s[61])/32076 + 2*s[67] - 2*s[68] + 
       4*s[69] + 2*s[72] - 2*s[73] - (3*s[74])/2 + (3*s[75])/2 - 6*s[76] - 
       3*s[77] + 2*s[78] + 40*s[79] - 9*s[80] + 282*s[82] + 12*s[84] + 
       48*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((3*s[2])/2 - 62*s[3] - 59*s[4] - (603*s[5])/44 - 
       (2505*s[6])/44 + (87319*s[7])/198 + (22057*s[8])/396 - 
       (8399*s[9])/18 - (3593*s[10])/9 - (5782*s[11])/11 - 
       (72383*s[12])/132 - (130333*s[13])/396 - (15431*s[14])/44 - 
       (18719*s[15])/36 - (163385*s[16])/198 - (231899*s[17])/396 + 
       (1741*s[18])/18 - (11131*s[19])/36 - (526061*s[20])/396 - 
       (113372*s[21])/297 + (94607*s[22])/297 - (566209*s[23])/396 + 
       (1337459*s[24])/1188 - (10597945*s[25])/21384 + 
       (5383579*s[26])/21384 - 12*s[30] - 4*s[31] - s[32]/2 - 9*s[33] + 
       13*s[34] + s[35] + (149*s[36])/6 - (157*s[37])/6 + 38*s[38] + 
       (333*s[39])/8 + (613*s[40])/24 - (367*s[41])/8 - (3607*s[42])/24 + 
       (49751*s[43])/264 - (83653*s[44])/528 + (28387*s[45])/132 - 
       (312967*s[46])/264 - (503617*s[47])/1584 + (1028045*s[48])/1584 - 
       (1551989*s[49])/1584 + (159025*s[50])/132 - (191339*s[51])/1584 - 
       (178745*s[52])/1584 - (495977*s[53])/792 - (22400*s[54])/33 - 
       (2563487*s[55])/528 - (320725*s[56])/528 - (135063*s[57])/44 - 
       (3238615*s[58])/4752 + (4218937*s[59])/4752 + (143676047*s[60])/9504 - 
       (15300587*s[61])/42768 + (3*s[65])/2 + 4*s[66] - 4*s[67] - 18*s[68] - 
       s[71] - 8*s[72] + 6*s[73] + 4*s[74] - (11*s[75])/2 + 8*s[76] - 
       7*s[77] - 22*s[78] + 68*s[79] - (85*s[80])/3 + 282*s[82] - 9*s[83] + 
       18*s[84] + 48*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((17*s[2])/2 + (101*s[3])/4 - (157*s[4])/8 + 
       (1723*s[5])/44 + (6071*s[6])/88 + (1025987*s[7])/1584 + 
       (1805*s[8])/264 - (6479*s[9])/12 - (4325*s[10])/12 - 
       (395933*s[11])/528 - (33603*s[12])/44 - (703465*s[13])/1584 - 
       (168689*s[14])/528 - (122525*s[15])/144 - (1000247*s[16])/792 - 
       (1713857*s[17])/1584 - (6293*s[18])/54 - (46333*s[19])/216 - 
       (3846241*s[20])/2376 - (3079951*s[21])/4752 + (548477*s[22])/1584 - 
       (102881*s[23])/792 + (827927*s[24])/792 - (16933949*s[25])/21384 + 
       (11085497*s[26])/21384 - 3*s[30] - 2*s[32] - 8*s[33] + 9*s[34] - 
       s[35] + (39*s[36])/2 - (9*s[37])/2 + (23*s[38])/2 - (145*s[39])/8 + 
       (357*s[40])/8 - (295*s[41])/8 - (73*s[42])/8 + (6311*s[43])/88 - 
       (18961*s[44])/176 + (1159*s[45])/11 - (55977*s[46])/88 - 
       (15347*s[47])/176 + (37167*s[48])/176 - (91063*s[49])/176 + 
       (6437*s[50])/11 - (4661*s[51])/176 - (4799*s[52])/176 - 
       (26729*s[53])/88 - (14973*s[54])/44 - (385703*s[55])/176 - 
       (53413*s[56])/176 - (57955*s[57])/132 - (1167703*s[58])/1584 + 
       (1164769*s[59])/1584 + (7349473*s[60])/1056 - (3672517*s[61])/14256 + 
       2*s[70] + (5*s[71])/2 - 4*s[72] + 2*s[73] + 2*s[74] - (9*s[75])/2 + 
       6*s[76] - 3*s[77] - 4*s[78] - 8*s[79] - 13*s[80] + 282*s[82] - 
       9*s[83] + 18*s[84] + 48*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1}, 1 - v]*(10*s[2] - 4*s[3] + (5897*s[4])/24 + 
       (25633*s[5])/88 + (49301*s[6])/88 + (4192697*s[7])/792 - 
       (149813*s[8])/396 - (81623*s[9])/18 - (106351*s[10])/72 - 
       (1018013*s[11])/176 - (3287491*s[12])/528 - (2872399*s[13])/792 - 
       (18405*s[14])/22 - (258169*s[15])/36 - (3581009*s[16])/396 - 
       (11309047*s[17])/1584 - (232511*s[18])/216 - (19217*s[19])/27 - 
       (6440113*s[20])/594 - (3273733*s[21])/792 + (6660223*s[22])/2376 + 
       (9447475*s[23])/1584 + (27299795*s[24])/4752 - (6384823*s[25])/891 + 
       (14757643*s[26])/3564 - s[30] + 2*s[31] + s[32]/4 + (19*s[33])/4 - 
       9*s[34] - 2*s[35] - (27*s[36])/2 + (115*s[37])/24 + (1001*s[38])/6 - 
       (5847*s[39])/8 + (6435*s[40])/8 - (16121*s[41])/24 + 
       (25009*s[42])/24 + (16229*s[43])/24 - (34355*s[44])/48 + 
       (39559*s[45])/48 - (302987*s[46])/48 + (26213*s[47])/144 + 
       (28703*s[48])/144 - (463019*s[49])/144 + (39365*s[50])/8 + 
       (31997*s[51])/48 + (77425*s[52])/144 - (55001*s[53])/16 - 
       (623*s[54])/6 - (1039051*s[55])/48 - (806539*s[56])/144 + 
       (124912*s[57])/27 - (3080639*s[58])/324 + (12573053*s[59])/1296 + 
       (22426195*s[60])/432 - (66147859*s[61])/23328 + s[64]/2 - s[65]/4 - 
       s[66] - 4*s[68] + 6*s[69] + s[70]/2 + s[71] + 4*s[72] + 2*s[73] - 
       (7*s[74])/2 + (7*s[75])/2 - 5*s[76] - (11*s[77])/2 + 6*s[78] + 
       16*s[79] - (5*s[80])/12 + 249*s[82] + (33*s[83])/4 + (45*s[84])/2 + 
       48*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
      (4*s[2] + (45*s[3])/8 + (2483*s[4])/16 + (22355*s[5])/88 + 
       (82179*s[6])/176 + (1428333*s[7])/352 - (1432501*s[8])/4752 - 
       (93227*s[9])/27 - (127807*s[10])/108 - (13785073*s[11])/3168 - 
       (3597503*s[12])/792 - (8381887*s[13])/3168 - (2735713*s[14])/3168 - 
       (1668683*s[15])/288 - (11195273*s[16])/1584 - (18923095*s[17])/3168 - 
       (59539*s[18])/81 - (820901*s[19])/1296 - (119941631*s[20])/14256 - 
       (92778799*s[21])/28512 + (60275807*s[22])/28512 + 
       (6234001*s[23])/1584 + (65115739*s[24])/14256 - 
       (685263947*s[25])/128304 + (406344353*s[26])/128304 + s[30] + 
       2*s[31] + s[32]/2 - (11*s[33])/4 + s[34] + 2*s[35] - (109*s[36])/6 + 
       (635*s[37])/24 + (391*s[38])/4 - (965*s[39])/2 + (3115*s[40])/6 - 
       (3147*s[41])/8 + (17315*s[42])/24 + (14632*s[43])/33 - 
       (124385*s[44])/264 + (105177*s[45])/176 - (2329693*s[46])/528 + 
       (42215*s[47])/396 + (21421*s[48])/198 - (842393*s[49])/396 + 
       (113095*s[50])/33 + (320945*s[51])/792 + (233279*s[52])/792 - 
       (4031675*s[53])/1584 - (11459*s[54])/264 - (4229675*s[55])/264 - 
       (3311827*s[56])/792 + (5272249*s[57])/2376 - (91515115*s[58])/14256 + 
       (24372619*s[59])/3564 + (342533405*s[60])/9504 - 
       (538027877*s[61])/256608 + (9*s[71])/4 + 4*s[72] + 2*s[73] - 
       (9*s[74])/2 + 5*s[75] - 8*s[76] - 2*s[77] + 4*s[78] - 4*s[79] + 
       (3*s[80])/4 + 249*s[82] + (33*s[83])/4 + (45*s[84])/2 + 48*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Omega2[w, u, v]*
      (10*s[2] + (37*s[3])/4 + (2065*s[4])/8 + (4208*s[5])/11 + 
       (69625*s[6])/88 + (10312409*s[7])/1584 - (950993*s[8])/2376 - 
       (605351*s[9])/108 - (202957*s[10])/108 - (11098193*s[11])/1584 - 
       (5858717*s[12])/792 - (768329*s[13])/176 - (2602055*s[14])/1584 - 
       (425485*s[15])/48 - (1460255*s[16])/132 - (14334055*s[17])/1584 - 
       (448363*s[18])/324 - (498163*s[19])/648 - (98005975*s[20])/7128 - 
       (75686261*s[21])/14256 + (48863425*s[22])/14256 + (549621*s[23])/88 + 
       (50662085*s[24])/7128 - (272772047*s[25])/32076 + 
       (41024354*s[26])/8019 + 4*s[29] - 2*s[30] + 4*s[31] + s[32] - 
       (5*s[33])/4 + s[35] + (5*s[36])/3 + (31*s[37])/2 + 160*s[38] - 
       664*s[39] + (2311*s[40])/3 - 609*s[41] + (2882*s[42])/3 + 
       (20756*s[43])/33 - (168637*s[44])/264 + (38315*s[45])/44 - 
       (821723*s[46])/132 + (162275*s[47])/792 + (143795*s[48])/792 - 
       (2146637*s[49])/792 + (309283*s[50])/66 + (549187*s[51])/792 + 
       (459733*s[52])/792 - (652463*s[53])/198 + (24773*s[54])/66 - 
       (5654413*s[55])/264 - (4796483*s[56])/792 + (1385524*s[57])/297 - 
       (68628079*s[58])/7128 + (67844341*s[59])/7128 + 
       (241106873*s[60])/4752 - (189444241*s[61])/64152 + s[65] + 4*s[66] - 
       6*s[67] + s[68] - 12*s[69] - s[71] - 2*s[72] + 10*s[73] - s[74]/2 + 
       s[75]/2 - 2*s[76] + 6*s[77] - 10*s[78] + 84*s[79] - 27*s[80] + 
       198*s[82] - 3*s[83] + 42*s[84] + 48*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Omega2[w, u, v]*
      ((15*s[2])/2 + (175*s[3])/4 + (6215*s[4])/8 + (37621*s[5])/88 + 
       (26531*s[6])/22 + (17822411*s[7])/1584 - (101996*s[8])/99 - 
       (676379*s[9])/72 - (205879*s[10])/72 - (2189061*s[11])/176 - 
       (455174*s[12])/33 - (13098211*s[13])/1584 - (166417*s[14])/176 - 
       (2134211*s[15])/144 - (1877791*s[16])/99 - (22608209*s[17])/1584 - 
       (142255*s[18])/72 - (42241*s[19])/24 - (17385449*s[20])/792 - 
       (36682307*s[21])/4752 + (28015565*s[22])/4752 + (11043403*s[23])/792 + 
       (29060791*s[24])/2376 - (688532639*s[25])/42768 + 
       (366647783*s[26])/42768 - 4*s[29] + 4*s[30] - 3*s[32] + (5*s[33])/2 - 
       2*s[34] - 5*s[35] - (197*s[36])/6 + (157*s[37])/4 + 386*s[38] - 
       (12999*s[39])/8 + (43361*s[40])/24 - (11231*s[41])/8 + 
       (56737*s[42])/24 + (360835*s[43])/264 - (788867*s[44])/528 + 
       (136971*s[45])/88 - (821143*s[46])/66 + (960601*s[47])/1584 + 
       (100159*s[48])/1584 - (10047643*s[49])/1584 + (630961*s[50])/66 + 
       (2576447*s[51])/1584 + (2043509*s[52])/1584 - (2625679*s[53])/396 + 
       (13373*s[54])/66 - (22071893*s[55])/528 - (17479237*s[56])/1584 + 
       (14467093*s[57])/1188 - (280169729*s[58])/14256 + 
       (283542389*s[59])/14256 + (961770955*s[60])/9504 - 
       (346176895*s[61])/64152 - s[65] - 4*s[66] + 6*s[67] + 3*s[68] + 
       8*s[69] + s[71] + 10*s[72] - 10*s[73] - (19*s[74])/2 + (19*s[75])/2 - 
       6*s[76] - 2*s[77] + 18*s[78] + 140*s[79] - (79*s[80])/2 + 234*s[82] + 
       3*s[83] + 54*s[84] + 48*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      Omega2[w, u, v]*((3*s[2])/2 + (175*s[3])/4 + (5875*s[4])/8 + 
       (17305*s[5])/44 + (100997*s[6])/88 + (16711109*s[7])/1584 - 
       (258979*s[8])/264 - (52741*s[9])/6 - (16093*s[10])/6 - 
       (6140327*s[11])/528 - (1133409*s[12])/88 - (12220789*s[13])/1584 - 
       (477761*s[14])/528 - (2005223*s[15])/144 - (3523907*s[16])/198 - 
       (21297671*s[17])/1584 - (50740*s[18])/27 - (348739*s[19])/216 - 
       (48898447*s[20])/2376 - (34372291*s[21])/4752 + (8740289*s[22])/1584 + 
       (10431607*s[23])/792 + (9024779*s[24])/792 - (321970061*s[25])/21384 + 
       (171611399*s[26])/21384 - 4*s[29] + 4*s[30] - s[32] + (7*s[33])/4 - 
       2*s[34] - 5*s[35] - (97*s[36])/3 + (89*s[37])/2 + 345*s[38] - 
       (3001*s[39])/2 + (10037*s[40])/6 - 1310*s[41] + (13225*s[42])/6 + 
       (82189*s[43])/66 - (364897*s[44])/264 + (63979*s[45])/44 - 
       (1536641*s[46])/132 + (447479*s[47])/792 + (26267*s[48])/792 - 
       (4595621*s[49])/792 + (295820*s[50])/33 + (1198435*s[51])/792 + 
       (948853*s[52])/792 - (1235693*s[53])/198 + (8083*s[54])/33 - 
       (10394921*s[55])/264 - (8298899*s[56])/792 + (13393351*s[57])/1188 - 
       (131029711*s[58])/7128 + (132482653*s[59])/7128 + 
       (448419977*s[60])/4752 - (328296805*s[61])/64152 - s[65] - 4*s[66] + 
       6*s[67] + 4*s[68] + 8*s[69] + s[71] + 10*s[72] - 10*s[73] - 
       (19*s[74])/2 + (19*s[75])/2 - 6*s[76] - 5*s[77] + 18*s[78] + 
       140*s[79] - 41*s[80] + 240*s[82] + 3*s[83] + 54*s[84] + 48*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((44*s[2])/3 + (69*s[3])/2 + (16463*s[4])/24 + (335725*s[5])/528 + 
       (95329*s[6])/66 + (13907449*s[7])/1056 - (13490737*s[8])/14256 - 
       (14425973*s[9])/1296 - (2471225*s[10])/648 - (17064947*s[11])/1188 - 
       (146398781*s[12])/9504 - (87547507*s[13])/9504 - 
       (21982915*s[14])/9504 - (15626465*s[15])/864 - 
       (107464169*s[16])/4752 - (86329571*s[17])/4752 - 
       (8810551*s[18])/3888 - (8926805*s[19])/3888 - (287597333*s[20])/
        10692 - (842590273*s[21])/85536 + (590755409*s[22])/85536 + 
       (120900101*s[23])/9504 + (1292874635*s[24])/85536 - 
       (6932328431*s[25])/384912 + (3891009785*s[26])/384912 + s[29]/3 - 
       2*s[30] + (2*s[31])/3 + (5*s[32])/4 - (5*s[33])/3 + (43*s[34])/6 - 
       (25*s[35])/3 - (50*s[36])/3 + (383*s[37])/18 + (1241*s[38])/3 - 
       1525*s[39] + (10267*s[40])/6 - 1334*s[41] + (8589*s[42])/4 + 
       (31363*s[43])/22 - (258211*s[44])/176 + (146937*s[45])/88 - 
       (3337295*s[46])/264 + (726125*s[47])/1584 + (577493*s[48])/1584 - 
       (5160799*s[49])/792 + (107494*s[50])/11 + (132359*s[51])/88 + 
       (1867861*s[52])/1584 - (5359675*s[53])/792 - (33089*s[54])/264 - 
       (7643415*s[55])/176 - (8816767*s[56])/792 + (22302781*s[57])/2376 - 
       (68501269*s[58])/3564 + (17494756*s[59])/891 + (62608619*s[60])/594 - 
       (706313659*s[61])/128304 + s[65]/6 + (2*s[66])/3 - (2*s[67])/3 + 
       (17*s[68])/6 - (14*s[69])/3 + (23*s[70])/3 - (5*s[71])/6 + 
       (4*s[72])/3 - s[73]/3 - (14*s[74])/3 + (17*s[75])/3 + (11*s[76])/3 - 
       (9*s[77])/2 - 2*s[78] + (401*s[79])/3 - (245*s[80])/6 + 
       (535*s[82])/2 - (5*s[83])/2 + 27*s[84] + 50*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      (-6*s[2] + (722*s[3])/9 + (32105*s[4])/72 + (13205*s[5])/396 + 
       (29957*s[6])/66 + (2543947*s[7])/594 - (920549*s[8])/1782 - 
       (272813*s[9])/81 - (676445*s[10])/648 - (5755553*s[11])/1188 - 
       (13329683*s[12])/2376 - (1740221*s[13])/528 + (343703*s[14])/2376 - 
       (389269*s[15])/72 - (11511491*s[16])/1584 - (1500805*s[17])/297 - 
       (179719*s[18])/243 - (375445*s[19])/486 - (339423665*s[20])/42768 - 
       (105451223*s[21])/42768 + (46716887*s[22])/21384 + (614785*s[23])/99 + 
       (12532909*s[24])/2673 - (1256847277*s[25])/192456 + 
       (1216227203*s[26])/384912 - 6*s[29] + 4*s[30] - (16*s[31])/3 - 
       (28*s[32])/9 - (16*s[33])/3 + (26*s[34])/3 + (8*s[35])/3 - 
       (158*s[36])/9 + (34*s[37])/9 + (3953*s[38])/36 - (44345*s[39])/72 + 
       (5601*s[40])/8 - (14261*s[41])/24 + (23101*s[42])/24 + 
       (373375*s[43])/792 - (241841*s[44])/396 + (355165*s[45])/792 - 
       (1731419*s[46])/396 + (58687*s[47])/198 - (23*s[48])/22 - 
       (225877*s[49])/99 + (334318*s[50])/99 + (190967*s[51])/264 + 
       (393229*s[52])/792 - (442895*s[53])/198 + (69701*s[54])/396 - 
       (32630093*s[55])/2376 - (3068165*s[56])/792 + (6846863*s[57])/1188 - 
       (51152549*s[58])/7128 + (12532607*s[59])/1782 + (20535125*s[60])/594 - 
       (245016877*s[61])/128304 - (4*s[65])/3 - (16*s[66])/3 + (26*s[67])/3 + 
       (10*s[68])/9 + (164*s[69])/9 - (4*s[70])/3 + (7*s[71])/3 + 
       (20*s[72])/3 - 12*s[73] - 6*s[74] + 6*s[75] - (4*s[76])/3 - 
       (62*s[77])/9 + (38*s[78])/3 + (184*s[79])/3 - (304*s[80])/9 + 
       (536*s[82])/3 + 4*s[83] + 12*s[84] + (152*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      (-s[1]/3 + (11*s[2])/2 + (317*s[3])/6 - (285*s[4])/4 + (565*s[5])/44 + 
       (692*s[6])/33 - (229961*s[7])/1584 + (208589*s[8])/1782 + 
       (94141*s[9])/648 - (194203*s[10])/648 + (701515*s[11])/2376 + 
       (2908591*s[12])/4752 + (608435*s[13])/1188 - (3663811*s[14])/4752 - 
       (112901*s[15])/432 - (646093*s[16])/4752 - (1003501*s[17])/1188 - 
       (122149*s[18])/1944 - (62155*s[19])/972 - (27189295*s[20])/42768 - 
       (8505173*s[21])/21384 - (5170393*s[22])/42768 - (9066223*s[23])/4752 + 
       (7709681*s[24])/42768 + (288580175*s[25])/384912 - 
       (9759883*s[26])/192456 - (2*s[29])/3 - (2*s[30])/3 - (8*s[31])/3 - 
       (5*s[32])/6 - (4*s[33])/3 + (28*s[34])/3 + 10*s[35] + (100*s[36])/9 - 
       (29*s[37])/3 - (1325*s[38])/12 + (4375*s[39])/12 - (13309*s[40])/36 + 
       (2851*s[41])/12 - (20195*s[42])/36 - (82757*s[43])/396 + 
       (306809*s[44])/1584 - (2942*s[45])/33 + (240355*s[46])/198 - 
       (1235635*s[47])/4752 + (1238903*s[48])/4752 + (4150513*s[49])/4752 - 
       (89531*s[50])/99 - (2020643*s[51])/4752 - (1595585*s[52])/4752 + 
       (348911*s[53])/594 - (18511*s[54])/396 + (4471037*s[55])/1584 + 
       (3439273*s[56])/4752 - (16833697*s[57])/3564 + 
       (119279825*s[58])/42768 - (117600299*s[59])/42768 - 
       (235857949*s[60])/28512 + (138850883*s[61])/384912 + (2*s[67])/3 - 
       7*s[68] + (19*s[69])/3 - (4*s[70])/3 + s[71] - (4*s[72])/3 + 
       (4*s[73])/3 + (5*s[74])/3 - (5*s[75])/3 + 2*s[76] - (29*s[77])/3 - 
       2*s[78] - (16*s[79])/3 - (40*s[80])/3 + 293*s[82] - 12*s[84] + 
       52*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Omega2[u, v, w]*
      (7*s[2] + (133*s[3])/4 + (11953*s[4])/24 + (17845*s[5])/44 + 
       (43955*s[6])/44 + (14015761*s[7])/1584 - (842107*s[8])/1188 - 
       (1611841*s[9])/216 - (261853*s[10])/108 - (7639915*s[11])/792 - 
       (16537531*s[12])/1584 - (9865699*s[13])/1584 - (2166617*s[14])/1584 - 
       (1724735*s[15])/144 - (1491904*s[16])/99 - (392921*s[17])/33 - 
       (1054475*s[18])/648 - (216283*s[19])/162 - (127225171*s[20])/7128 - 
       (92853863*s[21])/14256 + (66059365*s[22])/14256 + 
       (15479285*s[23])/1584 + (138921841*s[24])/14256 - 
       (1564311737*s[25])/128304 + (872913629*s[26])/128304 + s[30] + 
       2*s[31] - s[32] + s[33]/4 + s[34] - s[35]/3 - (44*s[36])/3 + 
       (57*s[37])/2 + 257*s[38] - (12949*s[39])/12 + (4891*s[40])/4 - 
       (1893*s[41])/2 + (18871*s[42])/12 + (43271*s[43])/44 - 
       (135851*s[44])/132 + (81833*s[45])/66 - (1224811*s[46])/132 + 
       (134917*s[47])/396 + (41009*s[48])/198 - (441052*s[49])/99 + 
       (157143*s[50])/22 + (419449*s[51])/396 + (168571*s[52])/198 - 
       (331621*s[53])/66 + (6718*s[54])/33 - (12712261*s[55])/396 - 
       (3397265*s[56])/396 + (8432441*s[57])/1188 - (50663659*s[58])/3564 + 
       (51464731*s[59])/3564 + (181238179*s[60])/2376 - 
       (134829583*s[61])/32076 + 2*s[68] - 2*s[69] + 4*s[72] - (25*s[74])/6 + 
       (25*s[75])/6 - (16*s[76])/3 + (2*s[77])/3 + 4*s[78] + 112*s[79] - 
       (103*s[80])/3 + 227*s[82] + 48*s[84] + 52*s[85]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      ((145*s[2])/16 + (2471*s[3])/96 + (158549*s[4])/192 + 
       (180841*s[5])/264 + (3406063*s[6])/2112 + (551315627*s[7])/38016 - 
       (62930569*s[8])/57024 - (31995559*s[9])/2592 - (10009133*s[10])/2592 - 
       (603055423*s[11])/38016 - (81789277*s[12])/4752 - 
       (393652277*s[13])/38016 - (81169483*s[14])/38016 - 
       (67053361*s[15])/3456 - (464279953*s[16])/19008 - 
       (241675151*s[17])/12672 - (20834903*s[18])/7776 - 
       (32849891*s[19])/15552 - (4977283973*s[20])/171072 - 
       (3642985273*s[21])/342144 + (2614294937*s[22])/342144 + 
       (308803229*s[23])/19008 + (2704972327*s[24])/171072 - 
       (15455513707*s[25])/769824 + (4301530001*s[26])/384912 - s[27]/4 + 
       (11*s[29])/6 + (37*s[30])/24 + 6*s[31] - (23*s[32])/24 + 
       (133*s[33])/24 - (275*s[34])/24 - (119*s[35])/24 - (343*s[36])/12 + 
       (265*s[37])/8 + (11861*s[38])/24 - (60675*s[39])/32 + 
       (203833*s[40])/96 - (158665*s[41])/96 + (260095*s[42])/96 + 
       (160621*s[43])/96 - (329579*s[44])/192 + (71879*s[45])/36 - 
       (4349821*s[46])/288 + (375413*s[47])/576 + (123503*s[48])/576 - 
       (4270151*s[49])/576 + (550787*s[50])/48 + (1100051*s[51])/576 + 
       (906457*s[52])/576 - (6911351*s[53])/864 + (75439*s[54])/144 - 
       (3267881*s[55])/64 - (23778227*s[56])/1728 + (36246415*s[57])/2592 - 
       (370099339*s[58])/15552 + (372829093*s[59])/15552 + 
       (141562183*s[60])/1152 - (933811177*s[61])/139968 + s[65]/3 + 
       (4*s[66])/3 - (5*s[67])/2 + (13*s[68])/6 - (43*s[69])/6 - s[70]/2 - 
       (19*s[71])/4 + (83*s[72])/12 + (7*s[73])/12 - (361*s[74])/48 + 
       (361*s[75])/48 - (43*s[76])/4 + (37*s[77])/24 + (21*s[78])/4 + 
       (520*s[79])/3 - (769*s[80])/36 + 53*s[82] - s[83] + (159*s[84])/2 + 
       53*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*(-s[2]/3 + (1885*s[3])/48 - (20971*s[4])/96 - 
       (37001*s[5])/352 - (87437*s[6])/264 - (25923691*s[7])/9504 + 
       (9002317*s[8])/28512 + (746557*s[9])/324 + (517355*s[10])/1296 + 
       (30336107*s[11])/9504 + (9096169*s[12])/2376 + (22910695*s[13])/9504 - 
       (1602025*s[14])/9504 + (1282819*s[15])/432 + (20171879*s[16])/4752 + 
       (321887*s[17])/132 + (2228537*s[18])/3888 + (1162349*s[19])/7776 + 
       (205651537*s[20])/42768 + (149359997*s[21])/85536 - 
       (126089839*s[22])/85536 - (46809977*s[23])/9504 - 
       (108332513*s[24])/42768 + (6561132013*s[25])/1539648 - 
       (3368011447*s[26])/1539648 + (7*s[29])/3 - (2*s[30])/3 - 4*s[31] - 
       (19*s[32])/24 + (31*s[33])/8 + (67*s[34])/12 + 6*s[35] + 
       (905*s[36])/36 - (309*s[37])/8 - (1033*s[38])/6 + (34933*s[39])/48 - 
       (111143*s[40])/144 + (27527*s[41])/48 - (308945*s[42])/288 - 
       (730645*s[43])/1584 + (3433777*s[44])/6336 - (371185*s[45])/1584 + 
       (641479*s[46])/198 - (8074727*s[47])/19008 + (6076597*s[48])/19008 + 
       (39828803*s[49])/19008 - (880645*s[50])/396 - (13459813*s[51])/19008 - 
       (11931157*s[52])/19008 + (6870163*s[53])/4752 - (494905*s[54])/1584 + 
       (52843331*s[55])/6336 + (16823791*s[56])/6336 - (1646177*s[57])/176 + 
       (386531809*s[58])/57024 - (373130239*s[59])/57024 - 
       (2649522101*s[60])/114048 + (579877151*s[61])/513216 - s[62]/8 + 
       (5*s[65])/12 + (5*s[66])/3 - (19*s[67])/6 - (25*s[68])/3 + 
       (3*s[69])/2 + (4*s[70])/3 - (9*s[71])/4 - (5*s[72])/2 + (5*s[73])/2 + 
       (37*s[74])/8 - (37*s[75])/8 + (47*s[76])/6 - (73*s[77])/12 - 
       (19*s[78])/2 - (83*s[79])/2 + (373*s[80])/36 + 180*s[82] - 
       (5*s[83])/4 - (41*s[84])/2 + 54*s[85]) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]^3*((59*s[2])/16 + (1931*s[3])/96 + (37899*s[4])/64 + 
       (155543*s[5])/352 + (2427397*s[6])/2112 + (380536973*s[7])/38016 - 
       (45789899*s[8])/57024 - (5470409*s[9])/648 - (3447041*s[10])/1296 - 
       (417692675*s[11])/38016 - (28518199*s[12])/2376 - 
       (30478865*s[13])/4224 - (53394479*s[14])/38016 - 
       (15275393*s[15])/1152 - (13363577*s[16])/792 - 
       (494299477*s[17])/38016 - (7298057*s[18])/3888 - 
       (22254091*s[19])/15552 - (3420779779*s[20])/171072 - 
       (2490844277*s[21])/342144 + (1798550341*s[22])/342144 + 
       (3011857*s[23])/264 + (934496425*s[24])/85536 - 
       (21456916441*s[25])/1539648 + (11880206989*s[26])/1539648 - s[28]/24 + 
       (7*s[29])/6 + s[30]/8 + (5*s[31])/12 + (5*s[32])/24 - (221*s[33])/48 + 
       (15*s[34])/8 - (79*s[35])/24 - (401*s[36])/24 + (1051*s[37])/48 + 
       341*s[38] - (21555*s[39])/16 + (24461*s[40])/16 - (19403*s[41])/16 + 
       (93047*s[42])/48 + (669343*s[43])/528 - (2745223*s[44])/2112 + 
       (1585055*s[45])/1056 - (12072971*s[46])/1056 + (809323*s[47])/2112 + 
       (754631*s[48])/2112 - (11944421*s[49])/2112 + (1545411*s[50])/176 + 
       (8483077*s[51])/6336 + (2268505*s[52])/2112 - (1608659*s[53])/264 + 
       (41121*s[54])/176 - (246872381*s[55])/6336 - (21983651*s[56])/2112 + 
       (28199531*s[57])/3168 - (332627711*s[58])/19008 + 
       (336297677*s[59])/19008 + (132788849*s[60])/1408 - 
       (868181855*s[61])/171072 + (5*s[62])/12 + s[64]/24 + (7*s[65])/24 + 
       (2*s[66])/3 - s[67]/12 + (7*s[68])/6 - (11*s[69])/6 + (49*s[70])/12 - 
       (15*s[71])/8 + (41*s[72])/12 + (17*s[73])/12 - (209*s[74])/48 + 
       (199*s[75])/48 - (17*s[76])/6 - (17*s[77])/8 + (25*s[78])/12 + 
       135*s[79] - (787*s[80])/24 - s[81]/72 + 166*s[82] - (9*s[83])/4 + 
       (117*s[84])/2 + 55*s[85]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u]*((1729*s[2])/144 - (8269*s[3])/96 + 
       (149519*s[4])/576 + (54737*s[5])/396 + (2275781*s[6])/6336 + 
       (482918237*s[7])/114048 - (83310113*s[8])/171072 - 
       (6841853*s[9])/1944 - (4404773*s[10])/3888 - (531190655*s[11])/
        114048 - (148465705*s[12])/28512 - (116391683*s[13])/38016 - 
       (23765531*s[14])/114048 - (6383591*s[15])/1152 - 
       (34378739*s[16])/4752 - (616483501*s[17])/114048 - 
       (13121323*s[18])/23328 - (37953415*s[19])/46656 - 
       (4169555977*s[20])/513216 - (2666727269*s[21])/1026432 + 
       (2321486389*s[22])/1026432 + (11120239*s[23])/2376 + 
       (616448405*s[24])/128304 - (14280167201*s[25])/2309472 + 
       (1742730263*s[26])/577368 - (43*s[29])/6 + (11*s[30])/24 + s[31]/9 + 
       (413*s[32])/72 - (557*s[33])/144 - (247*s[34])/72 + (275*s[35])/72 - 
       (3653*s[36])/108 + (233*s[37])/24 + (5999*s[38])/72 - 
       (148199*s[39])/288 + (497845*s[40])/864 - (43369*s[41])/96 + 
       (708977*s[42])/864 + (4317347*s[43])/9504 - (5425943*s[44])/9504 + 
       (113191*s[45])/198 - (44665409*s[46])/9504 + (3785893*s[47])/28512 + 
       (1053583*s[48])/7128 - (66001411*s[49])/28512 + 
       (17824951*s[50])/4752 + (3805847*s[51])/7128 + (1151881*s[52])/3564 - 
       (38641235*s[53])/14256 - (35095*s[54])/297 - (79405943*s[55])/4752 - 
       (123238705*s[56])/28512 + (201688831*s[57])/85536 - 
       (1714155389*s[58])/256608 + (893884747*s[59])/128304 + 
       (6578558179*s[60])/171072 - (10048339717*s[61])/4618944 - s[64]/2 - 
       (25*s[65])/9 - (73*s[66])/9 + (119*s[67])/9 + (56*s[68])/9 + 
       (191*s[69])/9 + (73*s[70])/18 + (127*s[71])/36 + (361*s[72])/36 + 
       (301*s[73])/36 - (1151*s[74])/144 + (971*s[75])/144 + (47*s[76])/12 + 
       (119*s[77])/72 + (401*s[78])/36 + (59*s[79])/3 - (593*s[80])/36 + 
       476*s[82] + (41*s[83])/6 + (91*s[84])/2 + (167*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - u]*
      (8*s[2] + 61*s[3] + (5749*s[4])/12 + (6009*s[5])/22 + (73839*s[6])/88 + 
       (731210*s[7])/99 - (1390265*s[8])/2376 - (1331887*s[9])/216 - 
       (223801*s[10])/108 - (12762089*s[11])/1584 - (13785649*s[12])/1584 - 
       (1379575*s[13])/264 - (798811*s[14])/792 - (20057*s[15])/2 - 
       (1670167*s[16])/132 - (15868993*s[17])/1584 - (820289*s[18])/648 - 
       (826321*s[19])/648 - (52611929*s[20])/3564 - (37137301*s[21])/7128 + 
       (13707055*s[22])/3564 + (1390183*s[23])/176 + (118182367*s[24])/
        14256 - (1321838945*s[25])/128304 + (716922161*s[26])/128304 + 
       s[30] + 2*s[31] + (3*s[32])/2 + (7*s[33])/4 - 3*s[34] - (4*s[35])/3 - 
       22*s[36] - (29*s[37])/6 + (583*s[38])/3 - (2504*s[39])/3 + 
       (2873*s[40])/3 - (9407*s[41])/12 + (4903*s[42])/4 + (8672*s[43])/11 - 
       (107945*s[44])/132 + (31321*s[45])/33 - (79551*s[46])/11 + 
       (94417*s[47])/396 + (77653*s[48])/396 - (351079*s[49])/99 + 
       (186199*s[50])/33 + (9535*s[51])/11 + (265865*s[52])/396 - 
       (387817*s[53])/99 + (1237*s[54])/33 - (3292979*s[55])/132 - 
       (2590231*s[56])/396 + (1534558*s[57])/297 - (19412461*s[58])/1782 + 
       (39451223*s[59])/3564 + (141967465*s[60])/2376 - 
       (205600387*s[61])/64152 - s[68] + 3*s[69] - 2*s[71] + 4*s[72] - 
       2*s[73] - (14*s[74])/3 + (14*s[75])/3 - (16*s[76])/3 - (7*s[77])/3 + 
       4*s[78] + 88*s[79] - (20*s[80])/3 + 94*s[82] + 48*s[84] + 56*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[w, u, v]*
      ((14*s[2])/3 + (121*s[3])/4 + (12385*s[4])/24 + (4174*s[5])/11 + 
       (259681*s[6])/264 + (4583569*s[7])/528 - (1685993*s[8])/2376 - 
       (790271*s[9])/108 - (252145*s[10])/108 - (15062249*s[11])/1584 - 
       (8206631*s[12])/792 - (9821825*s[13])/1584 - (1882007*s[14])/1584 - 
       (1662293*s[15])/144 - (11635033*s[16])/792 - (18076367*s[17])/1584 - 
       (131362*s[18])/81 - (826393*s[19])/648 - (123565903*s[20])/7128 - 
       (89521397*s[21])/14256 + (64916197*s[22])/14256 + 
       (1954043*s[23])/198 + (8430415*s[24])/891 - (387267773*s[25])/32076 + 
       (106709191*s[26])/16038 + s[30] + (2*s[31])/3 - s[32]/2 - 
       (3*s[33])/4 - s[34]/3 - s[35]/3 - (124*s[36])/9 + (461*s[37])/18 + 
       261*s[38] - 1115*s[39] + (11338*s[40])/9 - 985*s[41] + 
       (14684*s[42])/9 + (95552*s[43])/99 - (414239*s[44])/396 + 
       (464197*s[45])/396 - (1198085*s[46])/132 + (115528*s[47])/297 + 
       (45007*s[48])/297 - (2617475*s[49])/594 + (691043*s[50])/99 + 
       (341189*s[51])/297 + (1073603*s[52])/1188 - (1909861*s[53])/396 + 
       (6940*s[54])/33 - (12114161*s[55])/396 - (4896943*s[56])/594 + 
       (14952193*s[57])/1782 - (38102620*s[58])/2673 + 
       (152443213*s[59])/10692 + (526643635*s[60])/7128 - 
       (783940835*s[61])/192456 + (4*s[68])/3 - (4*s[69])/3 + 4*s[72] + 
       2*s[73] - (31*s[74])/6 + (31*s[75])/6 - (8*s[76])/3 - (2*s[77])/3 + 
       (8*s[78])/3 + (344*s[79])/3 - (325*s[80])/9 + 244*s[82] + 48*s[84] + 
       56*s[85]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((22*s[2])/3 + (1571*s[3])/72 + (52325*s[4])/72 + (4003*s[5])/8 + 
       (91679*s[6])/72 + (30255299*s[7])/2592 - (413359*s[8])/432 - 
       (4262477*s[9])/432 - (659179*s[10])/216 - (5558941*s[11])/432 - 
       (226069*s[12])/16 - (11010971*s[13])/1296 - (1165697*s[14])/864 - 
       (39798313*s[15])/2592 - (25449803*s[16])/1296 - 
       (19381729*s[17])/1296 - (16662689*s[18])/7776 - 
       (13301515*s[19])/7776 - (179843495*s[20])/7776 - 
       (32392235*s[21])/3888 + (7978339*s[22])/1296 + (35886635*s[23])/2592 + 
       (16401677*s[24])/1296 - (143627783*s[25])/8748 + 
       (313114835*s[26])/34992 + (65*s[30])/36 + (19*s[31])/6 - 
       (19*s[32])/24 + (35*s[33])/24 - 7*s[34] - (23*s[35])/6 - 
       (5273*s[36])/216 + (761*s[37])/18 + (29503*s[38])/72 - 
       (485671*s[39])/288 + (1639337*s[40])/864 - (429673*s[41])/288 + 
       (2109163*s[42])/864 + (13909483*s[43])/9504 - (467789*s[44])/297 + 
       (486257*s[45])/297 - (124372937*s[46])/9504 + (7971961*s[47])/14256 + 
       (6129887*s[48])/28512 - (95722189*s[49])/14256 + (2995037*s[50])/297 + 
       (47583061*s[51])/28512 + (38063665*s[52])/28512 - 
       (197333977*s[53])/28512 + (55382*s[54])/297 - (415335161*s[55])/9504 - 
       (55013149*s[56])/4752 + (361084531*s[57])/28512 - 
       (587023517*s[58])/28512 + (591561799*s[59])/28512 + 
       (9149489881*s[60])/85536 - (4339487077*s[61])/769824 - (5*s[68])/6 + 
       (5*s[69])/6 - (2*s[70])/9 - (17*s[71])/24 + (19*s[72])/3 - 
       (299*s[74])/36 + (299*s[75])/36 - (25*s[76])/3 - (23*s[77])/9 + 
       (55*s[78])/9 + (1033*s[79])/6 - (1196*s[80])/27 + (1127*s[82])/6 + 
       (230*s[84])/3 + 56*s[85]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*((-551*s[2])/72 - (15529*s[3])/144 + 
       (210239*s[4])/288 + (100931*s[5])/198 + (3918377*s[6])/3168 + 
       (695183923*s[7])/57024 - (83276345*s[8])/85536 - 
       (40114913*s[9])/3888 - (6622967*s[10])/1944 - (756829373*s[11])/
        57024 - (204266641*s[12])/14256 - (488724595*s[13])/57024 - 
       (78431033*s[14])/57024 - (85582637*s[15])/5184 - 
       (294793375*s[16])/14256 - (34281713*s[17])/2112 - 
       (22654801*s[18])/11664 - (49735903*s[19])/23328 - 
       (6152902549*s[20])/256608 - (4346557571*s[21])/513216 + 
       (3307045699*s[22])/513216 + (92729983*s[23])/7128 + 
       (1758142453*s[24])/128304 - (39210401365*s[25])/2309472 + 
       (20990890015*s[26])/2309472 - (11*s[28])/2 - (19*s[29])/6 - 
       (49*s[30])/6 + (151*s[31])/18 + (83*s[32])/36 + (665*s[33])/144 - 
       (11*s[34])/18 - (853*s[35])/36 - (884*s[36])/27 - (1843*s[37])/216 + 
       (7207*s[38])/18 - (253439*s[39])/144 + (866093*s[40])/432 - 
       (244969*s[41])/144 + (1103773*s[42])/432 + (8215027*s[43])/4752 - 
       (17469899*s[44])/9504 + (9898609*s[45])/4752 - (19439555*s[46])/1188 + 
       (7857721*s[47])/28512 + (20805799*s[48])/28512 - 
       (236484103*s[49])/28512 + (31677389*s[50])/2376 + 
       (49672811*s[51])/28512 + (35316269*s[52])/28512 - 
       (131975323*s[53])/14256 - (596117*s[54])/1188 - 
       (557018501*s[55])/9504 - (136853911*s[56])/9504 + 
       (46021853*s[57])/7128 - (217345925*s[58])/9504 + 
       (680201641*s[59])/28512 + (23795676967*s[60])/171072 - 
       (5561707733*s[61])/769824 + 7*s[63] - (3*s[64])/2 - (4*s[65])/9 + 
       (2*s[66])/9 + (55*s[67])/18 - (269*s[68])/18 + (59*s[69])/9 - 
       (370*s[70])/9 + (61*s[71])/36 - (71*s[72])/18 + (19*s[73])/6 - 
       (259*s[74])/24 + (193*s[75])/24 - (157*s[76])/9 + (1733*s[77])/36 - 
       (197*s[78])/18 + (2053*s[79])/9 - (7681*s[80])/108 + 216*s[82] - 
       (29*s[83])/12 + (181*s[84])/2 + (170*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      ((-187*s[2])/18 + (313*s[3])/6 + (17165*s[4])/18 + (130565*s[5])/264 + 
       (2335519*s[6])/1584 + (63769597*s[7])/4752 - (676561*s[8])/528 - 
       (177913*s[9])/16 - (30128*s[10])/9 - (47304253*s[11])/3168 - 
       (52862923*s[12])/3168 - (5979931*s[13])/594 - (89876*s[14])/99 - 
       (2503969*s[15])/144 - (53668099*s[16])/2376 - (159071195*s[17])/9504 - 
       (3042689*s[18])/1296 - (2768215*s[19])/1296 - (46033907*s[20])/1782 - 
       (64448929*s[21])/7128 + (3701791*s[22])/528 + (161445575*s[23])/9504 + 
       (15406871*s[24])/1056 - (4986297319*s[25])/256608 + 
       (2627520331*s[26])/256608 - s[27]/3 - 7*s[29] + 5*s[30] - 
       (83*s[31])/9 - (13*s[32])/6 - (75*s[33])/4 + (91*s[34])/9 - 
       (35*s[35])/9 - (2641*s[36])/54 + (3683*s[37])/108 + 508*s[38] - 
       (50053*s[39])/24 + (496249*s[40])/216 - (43187*s[41])/24 + 
       (326815*s[42])/108 + (4123439*s[43])/2376 - (9135259*s[44])/4752 + 
       (4624987*s[45])/2376 - (2072695*s[46])/132 + (10814993*s[47])/14256 + 
       (1631489*s[48])/14256 - (116212487*s[49])/14256 + 
       (7177913*s[50])/594 + (29738959*s[51])/14256 + 
       (23419729*s[52])/14256 - (1655647*s[53])/198 + (3391*s[54])/22 - 
       (249797959*s[55])/4752 - (196770181*s[56])/14256 + 
       (336180683*s[57])/21384 - (3191568833*s[58])/128304 + 
       (3234452627*s[59])/128304 + (10902597905*s[60])/85536 - 
       (490385768*s[61])/72171 + s[62]/2 - (5*s[65])/3 - (20*s[66])/3 + 
       (34*s[67])/3 + (65*s[68])/9 + (157*s[69])/9 - (2*s[70])/3 + 
       (5*s[71])/6 + (32*s[72])/3 - (40*s[73])/3 - (263*s[74])/18 + 
       (263*s[75])/18 - (10*s[76])/9 - (22*s[77])/9 + (175*s[78])/9 + 
       (1240*s[79])/9 - (1909*s[80])/54 + (1745*s[82])/6 + 5*s[83] + 
       80*s[84] + (172*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*((171*s[2])/4 - (121*s[3])/6 + 
       (19235*s[4])/24 + (52849*s[5])/132 + (311425*s[6])/264 + 
       (105505253*s[7])/9504 - (13497149*s[8])/14256 - (12161179*s[9])/1296 - 
       (3386573*s[10])/1296 - (118927151*s[11])/9504 - 
       (67336469*s[12])/4752 - (27752465*s[13])/3168 - (5378981*s[14])/9504 - 
       (3939685*s[15])/288 - (28670153*s[16])/1584 - (120610771*s[17])/9504 - 
       (3893245*s[18])/1944 - (5898187*s[19])/3888 - (900568003*s[20])/
        42768 - (628417151*s[21])/85536 + (505599751*s[22])/85536 + 
       (11417671*s[23])/792 + (31473509*s[24])/2673 - 
       (6269389183*s[25])/384912 + (3252253753*s[26])/384912 + 8*s[29] + 
       s[30]/3 + (59*s[31])/3 + (83*s[32])/12 + (431*s[33])/24 - 
       (71*s[34])/3 - (89*s[35])/18 - (239*s[36])/36 + (859*s[37])/36 + 
       (2161*s[38])/4 - (273359*s[39])/144 + (304507*s[40])/144 - 
       (239215*s[41])/144 + (389051*s[42])/144 + (2509409*s[43])/1584 - 
       (2610449*s[44])/1584 + (206749*s[45])/132 - (20642179*s[46])/1584 + 
       (3666851*s[47])/4752 + (307951*s[48])/2376 - (17015467*s[49])/2376 + 
       (3919031*s[50])/396 + (9381079*s[51])/4752 + (1908895*s[52])/1188 - 
       (30936995*s[53])/4752 + (188669*s[54])/792 - (16271393*s[55])/396 - 
       (6659581*s[56])/594 + (233564345*s[57])/14256 - 
       (921958687*s[58])/42768 + (909384481*s[59])/42768 + 
       (379124623*s[60])/3564 - (517652143*s[61])/96228 + (7*s[62])/2 + 
       s[65] + 2*s[66] - 2*s[67] + (17*s[68])/3 - (14*s[69])/3 + 33*s[70] - 
       (15*s[71])/4 + s[72]/3 - 5*s[73] - (317*s[74])/36 + (299*s[75])/36 - 
       (151*s[76])/9 - (455*s[77])/18 - (2*s[78])/3 + (547*s[79])/3 - 
       (467*s[80])/18 - s[81]/6 - (418*s[82])/3 - (27*s[83])/4 + 
       (245*s[84])/2 + (172*s[85])/3) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]^2*((103*s[2])/48 + (1895*s[3])/32 + 
       (117843*s[4])/64 + (1498283*s[5])/1584 + (17526017*s[6])/6336 + 
       (2927242465*s[7])/114048 - (409094119*s[8])/171072 - 
       (41682577*s[9])/1944 - (48679787*s[10])/7776 - 
       (3248188843*s[11])/114048 - (906502079*s[12])/28512 - 
       (27111301*s[13])/1408 - (182803255*s[14])/114048 - 
       (115306829*s[15])/3456 - (406992121*s[16])/9504 - 
       (3595879325*s[17])/114048 - (26397407*s[18])/5832 - 
       (179709179*s[19])/46656 - (25332660227*s[20])/513216 - 
       (17717236681*s[21])/1026432 + (13824565637*s[22])/1026432 + 
       (11666261*s[23])/352 + (3535249087*s[24])/128304 - 
       (171552817841*s[25])/4618944 + (90308549561*s[26])/4618944 - 
       (7*s[28])/8 - (173*s[29])/36 + (55*s[30])/12 + (251*s[31])/36 + 
       (22*s[32])/9 + (4247*s[33])/288 - (185*s[34])/9 - (1639*s[35])/72 - 
       (15613*s[36])/216 + (341*s[37])/4 + (68267*s[38])/72 - 
       (136733*s[39])/36 + (903457*s[40])/216 - (156415*s[41])/48 + 
       (2373865*s[42])/432 + (3823957*s[43])/1188 - (65262061*s[44])/19008 + 
       (609427*s[45])/176 - (134109355*s[46])/4752 + (77617631*s[47])/57024 + 
       (10570607*s[48])/57024 - (837878633*s[49])/57024 + 
       (102631195*s[50])/4752 + (215105683*s[51])/57024 + 
       (172815037*s[52])/57024 - (427115047*s[53])/28512 + 
       (1615279*s[54])/2376 - (596118151*s[55])/6336 - 
       (1414694291*s[56])/57024 + (2440337503*s[57])/85536 - 
       (22977800893*s[58])/513216 + (23291176033*s[59])/513216 + 
       (78416778755*s[60])/342144 - (27720698603*s[61])/2309472 + 
       (5*s[63])/2 - s[64]/4 - (167*s[65])/72 - (95*s[66])/18 + 
       (349*s[67])/36 - (2*s[68])/9 + (191*s[69])/18 - (443*s[70])/36 + 
       (13*s[71])/36 + (787*s[72])/36 - (329*s[73])/36 - (341*s[74])/16 + 
       (335*s[75])/16 - (575*s[76])/18 + (179*s[77])/72 + (1231*s[78])/36 + 
       (881*s[79])/3 - (1727*s[80])/36 + (157*s[82])/2 + (13*s[83])/3 + 
       (809*s[84])/6 + (175*s[85])/3) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((1085*s[2])/48 + (713*s[3])/32 + 
       (600995*s[4])/576 + (2119771*s[5])/3168 + (11179447*s[6])/6336 + 
       (1812788129*s[7])/114048 - (240024425*s[8])/171072 - 
       (13004983*s[9])/972 - (1890319*s[10])/486 - (2004937661*s[11])/
        114048 - (555485167*s[12])/28512 - (448020905*s[13])/38016 - 
       (159311753*s[14])/114048 - (71534293*s[15])/3456 - 
       (503222789*s[16])/19008 - (2252430931*s[17])/114048 - 
       (68438713*s[18])/23328 - (102034591*s[19])/46656 - 
       (15869919997*s[20])/513216 - (11360934227*s[21])/1026432 + 
       (8581486687*s[22])/1026432 + (387323003*s[23])/19008 + 
       (8689324025*s[24])/513216 - (104768129995*s[25])/4618944 + 
       (56328827605*s[26])/4618944 + (14*s[29])/9 + (67*s[30])/24 + 
       (106*s[31])/9 + (29*s[32])/36 + (1409*s[33])/144 - (1211*s[34])/72 - 
       (1007*s[35])/72 - (2111*s[36])/54 + (3047*s[37])/48 + 
       (22141*s[38])/36 - (238315*s[39])/96 + (2393531*s[40])/864 - 
       (615271*s[41])/288 + (3100171*s[42])/864 + (19717741*s[43])/9504 - 
       (10635743*s[44])/4752 + (2428813*s[45])/1056 - (87508835*s[46])/4752 + 
       (13205725*s[47])/14256 + (1945019*s[48])/28512 - 
       (133421743*s[49])/14256 + (66525227*s[50])/4752 + 
       (70794709*s[51])/28512 + (57060337*s[52])/28512 - 
       (8651941*s[53])/891 + (2944879*s[54])/4752 - (291034655*s[55])/4752 - 
       (29580785*s[56])/1782 + (854651131*s[57])/42768 - 
       (7615400539*s[58])/256608 + (959464823*s[59])/32076 + 
       (25408336541*s[60])/171072 - (36825567011*s[61])/4618944 + 
       (7*s[65])/36 + (7*s[66])/9 - (35*s[67])/18 + (49*s[68])/18 - 
       (119*s[69])/18 + s[70]/18 - (71*s[71])/72 + (329*s[72])/36 + 
       (41*s[73])/36 - (179*s[74])/16 + (179*s[75])/16 - (695*s[76])/36 + 
       (91*s[77])/72 + (407*s[78])/36 + (1331*s[79])/6 - (3251*s[80])/72 + 
       (62*s[82])/3 - (7*s[83])/12 + (311*s[84])/3 + (179*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v]*
      (-5*s[2] + (135*s[3])/4 + (493*s[4])/24 + (5477*s[5])/88 + 
       (21731*s[6])/132 + (4589425*s[7])/4752 - (64129*s[8])/3564 - 
       (496021*s[9])/648 - (326489*s[10])/648 - (4489103*s[11])/4752 - 
       (1862303*s[12])/2376 - (2191603*s[13])/4752 - (3770117*s[14])/4752 - 
       (743333*s[15])/432 - (4751345*s[16])/2376 - (3559889*s[17])/1584 - 
       (158309*s[18])/1944 - (702655*s[19])/1944 - (53180569*s[20])/21384 - 
       (38699621*s[21])/42768 + (20243983*s[22])/42768 - 
       (1799789*s[23])/2376 + (33138239*s[24])/21384 - 
       (394355495*s[25])/384912 + (267989087*s[26])/384912 + s[27]/2 - 
       (20*s[31])/3 - (9*s[33])/4 + (41*s[34])/3 + (52*s[35])/3 + 
       (265*s[36])/18 - (541*s[37])/36 - (115*s[38])/3 + (4639*s[39])/24 - 
       (12001*s[40])/72 + (813*s[41])/8 - (23345*s[42])/72 - 
       (17747*s[43])/792 + (17857*s[44])/1584 + (198721*s[45])/792 - 
       (314881*s[46])/396 - (1066931*s[47])/4752 + (1950655*s[48])/4752 + 
       (194801*s[49])/4752 + (73886*s[50])/99 - (769801*s[51])/4752 - 
       (1185427*s[52])/4752 - (734765*s[53])/1188 - (5695*s[54])/99 - 
       (7797785*s[55])/1584 - (2076587*s[56])/1584 - (904721*s[57])/198 + 
       (1045813*s[58])/14256 + (1120355*s[59])/14256 + 
       (270133519*s[60])/28512 - (21067879*s[61])/32076 - (3*s[62])/2 - 
       5*s[68] + 5*s[69] - s[71] + (5*s[74])/2 - (5*s[75])/2 + (20*s[76])/3 - 
       5*s[77] - 10*s[78] + 20*s[79] - (337*s[80])/18 + 374*s[82] + 
       60*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 
       1 - u]*((32*s[2])/3 + 50*s[3] + (178*s[4])/3 + (4659*s[5])/44 + 
       (33775*s[6])/132 + (4061819*s[7])/2376 - (19823*s[8])/297 - 
       (74735*s[9])/54 - (34537*s[10])/54 - (1423735*s[11])/792 - 
       (174068*s[12])/99 - (2513095*s[13])/2376 - (642655*s[14])/792 - 
       (573035*s[15])/216 - (3796565*s[16])/1188 - (7224515*s[17])/2376 - 
       (17917*s[18])/81 - (140711*s[19])/324 - (6995569*s[20])/1782 - 
       (3396229*s[21])/2376 + (6087277*s[22])/7128 + (481273*s[23])/1188 + 
       (4151827*s[24])/1782 - (46069349*s[25])/21384 + 
       (28036193*s[26])/21384 - s[32]/6 + (8*s[34])/3 + (16*s[36])/9 - 
       (122*s[37])/9 - (10*s[38])/3 + (175*s[39])/6 + (103*s[40])/18 - 
       (37*s[41])/2 - (944*s[42])/9 + (26921*s[43])/198 - (31319*s[44])/198 + 
       (82043*s[45])/198 - (191405*s[46])/99 - (199411*s[47])/1188 + 
       (472139*s[48])/1188 - (797183*s[49])/1188 + (301133*s[50])/198 - 
       (82457*s[51])/1188 - (36374*s[52])/297 - (715763*s[53])/594 - 
       (5600*s[54])/99 - (3446261*s[55])/396 - (855859*s[56])/396 - 
       (488921*s[57])/132 - (5802565*s[58])/3564 + (6942799*s[59])/3564 + 
       (132179579*s[60])/7128 - (8540480*s[61])/8019 - 5*s[68] + 5*s[69] - 
       5*s[77] - (16*s[80])/9 + 374*s[82] + 60*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 1}, 1 - v]*(-12*s[2] + (181*s[3])/4 - 
       (10111*s[4])/24 - (33185*s[5])/88 - (60299*s[6])/88 - 
       (11944643*s[7])/1584 + (487841*s[8])/792 + (58544*s[9])/9 + 
       (132431*s[10])/72 + (734827*s[11])/88 + (4848959*s[12])/528 + 
       (8920561*s[13])/1584 + (305801*s[14])/528 + (1471319*s[15])/144 + 
       (1247383*s[16])/99 + (7539865*s[17])/792 + (30668*s[18])/27 + 
       (34621*s[19])/27 + (34834523*s[20])/2376 + (8234507*s[21])/1584 - 
       (19197925*s[22])/4752 - (13687037*s[23])/1584 - 
       (40097251*s[24])/4752 + (2146151*s[25])/198 - (63201*s[26])/11 - 
       s[30] - 12*s[31] + s[32] - (29*s[33])/2 + 31*s[34] + 22*s[35] + 
       (122*s[36])/3 - (827*s[37])/12 - (749*s[38])/2 + (15599*s[39])/12 - 
       (16519*s[40])/12 + (12197*s[41])/12 - (7491*s[42])/4 - 
       (12655*s[43])/12 + (12599*s[44])/12 - (22679*s[45])/24 + 
       (196571*s[46])/24 - (5060*s[47])/9 + (7177*s[48])/36 + 
       (171899*s[49])/36 - (18754*s[50])/3 - (45575*s[51])/36 - 
       (19169*s[52])/18 + (318899*s[53])/72 - (569*s[54])/12 + 
       (989867*s[55])/36 + (26247*s[56])/4 - (330827*s[57])/36 + 
       (2819629*s[58])/216 - (744445*s[59])/54 - (28942597*s[60])/432 + 
       (3930941*s[61])/1296 - (3*s[62])/2 - 4*s[63] - 2*s[67] - 7*s[68] + 
       7*s[69] + 2*s[70] + (3*s[71])/2 - 4*s[72] + 4*s[73] + (15*s[74])/2 - 
       (15*s[75])/2 + 12*s[76] - 9*s[77] - 22*s[78] - 84*s[79] - 
       (103*s[80])/6 + 318*s[82] - 24*s[84] + 60*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1, 1}, 1 - u]*(16*s[2] + (25*s[3])/4 - 
       (6787*s[4])/24 + (5281*s[5])/44 - (947*s[6])/11 - 
       (2075861*s[7])/1584 + (20407*s[8])/66 + (21755*s[9])/24 - 
       (335*s[10])/12 + (450707*s[11])/264 + (1252069*s[12])/528 + 
       (2767183*s[13])/1584 - (529649*s[14])/528 + (164447*s[15])/144 + 
       (681019*s[16])/396 + (92363*s[17])/396 - (48019*s[18])/216 + 
       (14558*s[19])/27 + (2715205*s[20])/2376 - (1024511*s[21])/4752 - 
       (119253*s[22])/176 - (3662693*s[23])/1584 - (2601913*s[24])/1584 + 
       (125492845*s[25])/42768 - (35252401*s[26])/42768 - s[30] - 
       (19*s[32])/2 - 2*s[33] + 3*s[34] + s[35] + (29*s[36])/3 - 
       (95*s[37])/6 - (473*s[38])/3 + (1635*s[39])/4 - (5201*s[40])/12 + 
       (767*s[41])/3 - (1712*s[42])/3 - (47447*s[43])/132 + (7099*s[44])/22 - 
       (9347*s[45])/66 + (79405*s[46])/44 - (18514*s[47])/99 + 
       (19829*s[48])/396 + (140902*s[49])/99 - (41560*s[50])/33 - 
       (165379*s[51])/396 - (142775*s[52])/396 + (159733*s[53])/198 - 
       (10097*s[54])/66 + (226445*s[55])/44 + (56867*s[56])/44 - 
       (1207463*s[57])/396 + (312922*s[58])/99 - (327968*s[59])/99 - 
       (35574145*s[60])/2376 + (1214693*s[61])/2673 - 7*s[68] + 7*s[69] + 
       2*s[70] - 2*s[72] + 2*s[73] + (3*s[74])/2 - (3*s[75])/2 + 2*s[76] - 
       10*s[77] - 2*s[78] - 48*s[79] + (37*s[80])/3 + 318*s[82] - 24*s[84] + 
       60*s[85]) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      ((-93*s[2])/2 + 55*s[3] - (3109*s[4])/12 - (47591*s[5])/132 - 
       (27563*s[6])/44 - (4695841*s[7])/792 + (215515*s[8])/594 + 
       (561763*s[9])/108 + (147725*s[10])/108 + (1305761*s[11])/198 + 
       (5745997*s[12])/792 + (3641023*s[13])/792 + (741359*s[14])/792 + 
       (183605*s[15])/24 + (1908289*s[16])/198 + (944483*s[17])/132 + 
       (82085*s[18])/81 + (121745*s[19])/162 + (21000185*s[20])/1782 + 
       (30734813*s[21])/7128 - (22848823*s[22])/7128 - (4776245*s[23])/792 - 
       (46234627*s[24])/7128 + (536078129*s[25])/64152 - 
       (292154909*s[26])/64152 + (3*s[27])/2 - 34*s[31] + s[32] - 
       (119*s[33])/4 + 41*s[34] + 18*s[35] + (209*s[36])/6 - (469*s[37])/6 - 
       (2033*s[38])/6 + (24947*s[39])/24 - (26431*s[40])/24 + 
       (19529*s[41])/24 - (34501*s[42])/24 - (224485*s[43])/264 + 
       (453263*s[44])/528 - (98521*s[45])/132 + (1658545*s[46])/264 - 
       (261787*s[47])/528 + (20061*s[48])/176 + (1955629*s[49])/528 - 
       (152627*s[50])/33 - (1707539*s[51])/1584 - (468751*s[52])/528 + 
       (2440787*s[53])/792 - (46165*s[54])/132 + (31042987*s[55])/1584 + 
       (8044445*s[56])/1584 - (2452541*s[57])/297 + (150187867*s[58])/14256 - 
       (150540217*s[59])/14256 - (161468735*s[60])/3168 + 
       (299188291*s[61])/128304 - 4*s[63] - 2*s[67] - 9*s[68] + 9*s[69] - 
       2*s[70] + (3*s[71])/2 - 2*s[72] + 2*s[73] + 6*s[74] - 6*s[75] + 
       32*s[76] - 6*s[77] - 12*s[78] - 44*s[79] - (89*s[80])/3 + 320*s[82] - 
       24*s[84] + 60*s[85]) + HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((-31*s[2])/2 + (241*s[3])/4 - (3059*s[4])/24 - (2773*s[5])/12 - 
       (2593*s[6])/8 - (416875*s[7])/144 + (5263*s[8])/24 + 2537*s[9] + 
       (3203*s[10])/6 + (51321*s[11])/16 + (85613*s[12])/24 + 
       (334517*s[13])/144 + (26257*s[14])/48 + (531715*s[15])/144 + 
       (330001*s[16])/72 + (484567*s[17])/144 + (27851*s[18])/54 + 
       (59407*s[19])/216 + (1214945*s[20])/216 + (933035*s[21])/432 - 
       (224137*s[22])/144 - (57251*s[23])/18 - (12365*s[24])/4 + 
       (7891867*s[25])/1944 - (4417597*s[26])/1944 - 2*s[31] - (3*s[32])/2 - 
       (5*s[33])/4 + 4*s[34] + s[35] + (29*s[36])/3 - (217*s[37])/6 - 
       (643*s[38])/3 + (7351*s[39])/12 - (2601*s[40])/4 + (5605*s[41])/12 - 
       (10249*s[42])/12 - (6143*s[43])/12 + (11539*s[44])/24 - 
       (992*s[45])/3 + (37925*s[46])/12 - (24679*s[47])/72 + 
       (10655*s[48])/72 + (146047*s[49])/72 - (13543*s[50])/6 - 
       (47359*s[51])/72 - (38633*s[52])/72 + (54535*s[53])/36 - 
       (1186*s[54])/3 + (684271*s[55])/72 + (20153*s[56])/8 - 
       (92323*s[57])/18 + (1207219*s[58])/216 - (1218373*s[59])/216 - 
       (10977637*s[60])/432 + (226079*s[61])/216 - 9*s[68] + 9*s[69] - 
       2*s[70] - 2*s[72] + 2*s[73] + (3*s[74])/2 - (3*s[75])/2 + 2*s[76] - 
       6*s[77] - 2*s[78] - 48*s[79] + (37*s[80])/3 + 320*s[82] - 24*s[84] + 
       60*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Omega2[v, w, u]*
      ((85*s[2])/6 + (119*s[3])/4 + (1849*s[4])/3 + (12331*s[5])/24 + 
       (29617*s[6])/24 + (4718107*s[7])/432 - (549835*s[8])/648 - 
       (2998043*s[9])/324 - (1909397*s[10])/648 - (5153707*s[11])/432 - 
       (2799559*s[12])/216 - (1108417*s[13])/144 - (768667*s[14])/432 - 
       (700855*s[15])/48 - (1330819*s[16])/72 - (6235625*s[17])/432 - 
       (522820*s[18])/243 - (2841469*s[19])/1944 - (43130309*s[20])/1944 - 
       (31853719*s[21])/3888 + (22322645*s[22])/3888 + (889693*s[23])/72 + 
       (23010355*s[24])/1944 - (32754601*s[25])/2187 + 
       (18510382*s[26])/2187 + s[30]/2 + (11*s[31])/3 - (4*s[32])/3 + 
       (55*s[33])/24 - (5*s[34])/6 + (5*s[35])/3 - (148*s[36])/9 + 
       (134*s[37])/3 + (986*s[38])/3 - (16421*s[39])/12 + (55771*s[40])/36 - 
       (4849*s[41])/4 + (71753*s[42])/36 + (465629*s[43])/396 - 
       (250357*s[44])/198 + (63131*s[45])/44 - (1096610*s[46])/99 + 
       (148123*s[47])/297 + (146365*s[48])/1188 - (3145355*s[49])/594 + 
       (1668193*s[50])/198 + (1658015*s[51])/1188 + (1361507*s[52])/1188 - 
       (6937831*s[53])/1188 + (45184*s[54])/99 - (14766805*s[55])/396 - 
       (3055009*s[56])/297 + (9569584*s[57])/891 - (188612357*s[58])/10692 + 
       (188104307*s[59])/10692 + (641049799*s[60])/7128 - 
       (119485061*s[61])/24057 + s[65]/3 + (4*s[66])/3 - (2*s[67])/3 + 
       (4*s[68])/3 - (11*s[69])/3 - (2*s[70])/3 - s[71]/3 + (14*s[72])/3 + 
       (2*s[73])/3 - (35*s[74])/6 + (35*s[75])/6 - 8*s[76] - (4*s[77])/3 + 
       (4*s[78])/3 + 160*s[79] - 47*s[80] + 220*s[82] - s[83] + 66*s[84] + 
       60*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Omega2[u, v, w]*
      ((103*s[2])/12 + (353*s[3])/8 + (33857*s[4])/48 + (123427*s[5])/264 + 
       (649505*s[6])/528 + (105784817*s[7])/9504 - (13425887*s[8])/14256 - 
       (758677*s[9])/81 - (231026*s[10])/81 - (116995535*s[11])/9504 - 
       (4045388*s[12])/297 - (8618773*s[13])/1056 - (11736275*s[14])/9504 - 
       (4166741*s[15])/288 - (7380445*s[16])/396 - (133001761*s[17])/9504 - 
       (1035463*s[18])/486 - (6013063*s[19])/3888 - (942123235*s[20])/42768 - 
       (678208769*s[21])/85536 + (500284729*s[22])/85536 + 
       (594901*s[23])/44 + (255313255*s[24])/21384 - (6055855957*s[25])/
        384912 + (3300863581*s[26])/384912 - 2*s[29] + (5*s[30])/2 + 
       (10*s[31])/3 - (2*s[32])/3 - (13*s[33])/6 - (37*s[34])/6 - 
       (37*s[35])/6 - (463*s[36])/18 + (187*s[37])/4 + (2309*s[38])/6 - 
       (4651*s[39])/3 + (31171*s[40])/18 - (5387*s[41])/4 + (20038*s[42])/9 + 
       (131665*s[43])/99 - (2272219*s[44])/1584 + (420913*s[45])/264 - 
       (9776777*s[46])/792 + (2597669*s[47])/4752 + (823325*s[48])/4752 - 
       (28961231*s[49])/4752 + (1857869*s[50])/198 + (7290997*s[51])/4752 + 
       (6049099*s[52])/4752 - (1916921*s[53])/297 + (63937*s[54])/198 - 
       (65131907*s[55])/1584 - (53172857*s[56])/4752 + 
       (85550785*s[57])/7128 - (838731253*s[58])/42768 + 
       (836258287*s[59])/42768 + (2861158931*s[60])/28512 - 
       (2105355739*s[61])/384912 - s[65]/3 - (4*s[66])/3 + (8*s[67])/3 + 
       (11*s[68])/3 + (5*s[69])/3 + (5*s[70])/3 + s[71]/3 + (19*s[72])/3 - 
       (11*s[73])/3 - (95*s[74])/12 + (95*s[75])/12 - 9*s[76] - s[77]/6 + 
       (23*s[78])/3 + 136*s[79] - (223*s[80])/6 + 224*s[82] + s[83] + 
       66*s[84] + 60*s[85]) + HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      (27*s[2] - (53*s[3])/4 + (2253*s[4])/4 + (23219*s[5])/88 + 
       (77877*s[6])/88 + (13463875*s[7])/1584 - (1820209*s[8])/2376 - 
       (777637*s[9])/108 - (463903*s[10])/216 - (15098371*s[11])/1584 - 
       (4281047*s[12])/396 - (1147613*s[13])/176 - (1000189*s[14])/1584 - 
       (502411*s[15])/48 - (459457*s[16])/33 - (15474509*s[17])/1584 - 
       (517559*s[18])/324 - (754301*s[19])/648 - (117801359*s[20])/7128 - 
       (81869281*s[21])/14256 + (64339679*s[22])/14256 + (940255*s[23])/88 + 
       (65060737*s[24])/7128 - (197828087*s[25])/16038 + 
       (104598563*s[26])/16038 + 2*s[29] - (3*s[30])/2 - 2*s[31] + s[32]/2 - 
       (197*s[33])/8 + (41*s[34])/2 - 2*s[35] - 11*s[36] + (88*s[37])/3 + 
       (715*s[38])/2 - (5467*s[39])/4 + (6415*s[40])/4 - (2445*s[41])/2 + 
       (3931*s[42])/2 + (51013*s[43])/44 - (116947*s[44])/88 + 
       (78059*s[45])/66 - (1306141*s[46])/132 + (105733*s[47])/264 + 
       (70687*s[48])/264 - (1431103*s[49])/264 + (333807*s[50])/44 + 
       (367921*s[51])/264 + (321053*s[52])/264 - (1923335*s[53])/396 + 
       (51647*s[54])/132 - (2740025*s[55])/88 - (6801431*s[56])/792 + 
       (13906837*s[57])/1188 - (115298131*s[58])/7128 + 
       (112780111*s[59])/7128 + (130023713*s[60])/1584 - 
       (262454167*s[61])/64152 - (3*s[64])/2 - s[65]/2 + s[67] + 2*s[68] - 
       s[69] + 10*s[70] + (5*s[71])/2 - 4*s[72] - 20*s[73] - (17*s[74])/2 - 
       s[75] + s[76] - 7*s[77] - 14*s[78] + 224*s[79] - (295*s[80])/3 + 
       30*s[82] - 15*s[83] + 90*s[84] + 60*s[85]) + 
     HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((55*s[2])/4 - (243*s[3])/8 + (9967*s[4])/16 + (32981*s[5])/88 + 
       (180651*s[6])/176 + (31514231*s[7])/3168 - (1281967*s[8])/1584 - 
       (305999*s[9])/36 - (23404*s[10])/9 - (3906301*s[11])/352 - 
       (3276437*s[12])/264 - (23779291*s[13])/3168 - (368301*s[14])/352 - 
       (3608729*s[15])/288 - (6486923*s[16])/396 - (37586003*s[17])/3168 - 
       (64459*s[18])/36 - (70271*s[19])/48 - (31155005*s[20])/1584 - 
       (66008405*s[21])/9504 + (50467013*s[22])/9504 + (9048899*s[23])/792 + 
       (3243184*s[24])/297 - (607905571*s[25])/42768 + 
       (326580187*s[26])/42768 - s[27] - s[28] - (3*s[30])/2 - 9*s[31] - 
       4*s[32] - 27*s[33] + (35*s[34])/2 - (5*s[35])/2 - (43*s[36])/3 + 
       (205*s[37])/12 + 397*s[38] - (5845*s[39])/4 + (20497*s[40])/12 - 
       (5241*s[41])/4 + (6194*s[42])/3 + (15283*s[43])/12 - 
       (68305*s[44])/48 + (32719*s[45])/24 - (87817*s[46])/8 + 
       (55199*s[47])/144 + (48563*s[48])/144 - (851093*s[49])/144 + 
       (100891*s[50])/12 + (214063*s[51])/144 + (187405*s[52])/144 - 
       (65639*s[53])/12 + (1101*s[54])/4 - (560859*s[55])/16 - 
       (1362235*s[56])/144 + (2595143*s[57])/216 - (22928123*s[58])/1296 + 
       (22520117*s[59])/1296 + (78759797*s[60])/864 - 
       (53408753*s[61])/11664 - (3*s[64])/2 - s[65]/2 + s[67] + 2*s[68] - 
       s[69] + 10*s[70] - s[71]/2 - 3*s[72] - 17*s[73] - (33*s[74])/4 - 
       s[75]/4 + 18*s[76] - (15*s[77])/2 - 13*s[78] + 240*s[79] - 
       (581*s[80])/6 + 30*s[82] - 15*s[83] + 90*s[84] + 60*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Omega2[u, v, w]*
      (6*s[2] + 12*s[3] + (9629*s[4])/8 + (176105*s[5])/264 + 
       (124217*s[6])/66 + (40912757*s[7])/2376 - (2798071*s[8])/1782 - 
       (4674715*s[9])/324 - (2718661*s[10])/648 - (45306533*s[11])/2376 - 
       (50400553*s[12])/2376 - (564351*s[13])/44 - (3057209*s[14])/2376 - 
       (1616263*s[15])/72 - (11384287*s[16])/396 - (50632111*s[17])/2376 - 
       (3022109*s[18])/972 - (595615*s[19])/243 - (356031289*s[20])/10692 - 
       (126261397*s[21])/10692 + (193655131*s[22])/21384 + 
       (981713*s[23])/44 + (196619663*s[24])/10692 - (2378837689*s[25])/
        96228 + (1267885843*s[26])/96228 - (4*s[29])/3 + (11*s[30])/2 + 
       (19*s[31])/3 - s[32]/3 + (187*s[33])/24 - (59*s[34])/6 - 
       (34*s[35])/3 - (508*s[36])/9 + (125*s[37])/2 + (2012*s[38])/3 - 
       (32785*s[39])/12 + (109351*s[40])/36 - (9529*s[41])/4 + 
       (143027*s[42])/36 + (927137*s[43])/396 - (991871*s[44])/396 + 
       (110953*s[45])/44 - (4071493*s[46])/198 + (1140955*s[47])/1188 + 
       (57481*s[48])/297 - (12627379*s[49])/1188 + (3117193*s[50])/198 + 
       (1616047*s[51])/594 + (1299745*s[52])/594 - (12962017*s[53])/1188 + 
       (46450*s[54])/99 - (3022193*s[55])/44 - (21748477*s[56])/1188 + 
       (74192113*s[57])/3564 - (348765353*s[58])/10692 + 
       (353394755*s[59])/10692 + (297420313*s[60])/1782 - 
       (211909340*s[61])/24057 - (2*s[65])/3 - (8*s[66])/3 + (8*s[67])/3 + 
       (8*s[68])/3 + (8*s[69])/3 - (4*s[70])/3 - (4*s[71])/3 + (44*s[72])/3 - 
       (16*s[73])/3 - 15*s[74] + 15*s[75] - (56*s[76])/3 - (13*s[77])/3 + 
       (68*s[78])/3 + 248*s[79] - (139*s[80])/3 + 107*s[82] + 2*s[83] + 
       116*s[84] + 60*s[85]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*((4549*s[2])/144 + (14963*s[3])/288 + 
       (319985*s[4])/576 + (1268803*s[5])/3168 + (6219941*s[6])/6336 + 
       (1091195995*s[7])/114048 - (155707493*s[8])/171072 - 
       (61575155*s[9])/7776 - (20893987*s[10])/7776 - 
       (1188491453*s[11])/114048 - (323630893*s[12])/28512 - 
       (750909283*s[13])/114048 - (138089741*s[14])/114048 - 
       (136319021*s[15])/10368 - (236628587*s[16])/14256 - 
       (498587249*s[17])/38016 - (38474287*s[18])/23328 - 
       (76382623*s[19])/46656 - (9876647785*s[20])/513216 - 
       (6929687003*s[21])/1026432 + (5108653519*s[22])/1026432 + 
       (152525911*s[23])/14256 + (2762575345*s[24])/256608 - 
       (61583892871*s[25])/4618944 + (33179362681*s[26])/4618944 - 
       (19*s[29])/3 + (37*s[30])/24 + (100*s[31])/9 - (83*s[32])/36 + 
       (721*s[33])/144 - (505*s[34])/72 - (1237*s[35])/72 - 
       (4219*s[36])/108 + (8975*s[37])/432 + (7879*s[38])/36 - 
       (328001*s[39])/288 + (1086995*s[40])/864 - (283519*s[41])/288 + 
       (1457683*s[42])/864 + (889511*s[43])/864 - (2019751*s[44])/1728 + 
       (1267463*s[45])/864 - (4649741*s[46])/432 + (1766837*s[47])/5184 + 
       (1673171*s[48])/5184 - (26405027*s[49])/5184 + (3628825*s[50])/432 + 
       (5645263*s[51])/5184 + (3948073*s[52])/5184 - (15768659*s[53])/2592 - 
       (8873*s[54])/108 - (66553777*s[55])/1728 - (17440027*s[56])/1728 + 
       (391573*s[57])/72 - (242618161*s[58])/15552 + (250528159*s[59])/
        15552 + (2764231127*s[60])/31104 - (721813085*s[61])/139968 - 
       (25*s[65])/18 - (50*s[66])/9 + (82*s[67])/9 + (28*s[68])/9 + 
       (136*s[69])/9 + (52*s[70])/9 + (307*s[71])/72 + (403*s[72])/36 - 
       (41*s[73])/4 - (503*s[74])/48 + (491*s[75])/48 - (467*s[76])/36 - 
       (703*s[77])/72 + (787*s[78])/36 + (343*s[79])/18 - (4333*s[80])/216 + 
       551*s[82] + (77*s[83])/12 + 28*s[84] + (187*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^3*((317*s[2])/48 + (1491*s[3])/32 + 
       (23981*s[4])/64 + (343105*s[5])/1056 + (1763807*s[6])/2112 + 
       (269347303*s[7])/38016 - (29324293*s[8])/57024 - (969919*s[9])/162 - 
       (2637817*s[10])/1296 - (292449853*s[11])/38016 - 
       (39198949*s[12])/4752 - (62039269*s[13])/12672 - 
       (52683817*s[14])/38016 - (11081171*s[15])/1152 - 
       (38400251*s[16])/3168 - (369104987*s[17])/38016 - 
       (2693975*s[18])/1944 - (15696269*s[19])/15552 - 
       (2500994993*s[20])/171072 - (1850520115*s[21])/342144 + 
       (1268724491*s[22])/342144 + (23106761*s[23])/3168 + 
       (20957716*s[24])/2673 - (14731732799*s[25])/1539648 + 
       (8439222491*s[26])/1539648 + s[28]/12 + (13*s[29])/12 + (7*s[30])/24 + 
       (25*s[31])/12 - (31*s[32])/12 + (35*s[33])/48 + (17*s[34])/24 + 
       (17*s[35])/24 - (365*s[36])/72 + (1699*s[37])/144 + (2141*s[38])/12 - 
       (11991*s[39])/16 + (125509*s[40])/144 - (33371*s[41])/48 + 
       (155999*s[42])/144 + (1151345*s[43])/1584 - (4750817*s[44])/6336 + 
       (3062519*s[45])/3168 - (2472175*s[46])/352 + (3960703*s[47])/19008 + 
       (4768411*s[48])/19008 - (61042297*s[49])/19008 + 
       (8523971*s[50])/1584 + (14688395*s[51])/19008 + 
       (11697965*s[52])/19008 - (659137*s[53])/176 + (38975*s[54])/176 - 
       (51208699*s[55])/2112 - (126271391*s[56])/19008 + 
       (139736095*s[57])/28512 - (1828101967*s[58])/171072 + 
       (1825748953*s[59])/171072 + (6618240601*s[60])/114048 - 
       (5013267733*s[61])/1539648 - (2*s[63])/3 + s[64]/8 + (11*s[65])/24 + 
       (5*s[66])/3 - (25*s[67])/12 + (3*s[68])/2 - (16*s[69])/3 + 
       (37*s[70])/12 - (9*s[71])/8 + (31*s[72])/12 + (37*s[73])/12 - 
       (27*s[74])/16 + (101*s[75])/48 - (14*s[76])/3 - (31*s[77])/8 - 
       (3*s[78])/4 + (290*s[79])/3 - (1823*s[80])/72 + 256*s[82] - 
       (11*s[83])/4 + (75*s[84])/2 + 63*s[85]) + HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((97*s[2])/24 + (5261*s[3])/144 + (124675*s[4])/288 + 
       (140825*s[5])/396 + (2752577*s[6])/3168 + (436627261*s[7])/57024 - 
       (51885905*s[8])/85536 - (25088273*s[9])/3888 - (8275105*s[10])/3888 - 
       (475676639*s[11])/57024 - (256620197*s[12])/28512 - 
       (305638651*s[13])/57024 - (70230245*s[14])/57024 - 
       (53859395*s[15])/5184 - (372243227*s[16])/28512 - 
       (197065603*s[17])/19008 - (16588339*s[18])/11664 - 
       (27403525*s[19])/23328 - (3976452409*s[20])/256608 - 
       (2906811887*s[21])/513216 + (2053431691*s[22])/513216 + 
       (116863007*s[23])/14256 + (68053045*s[24])/8019 - 
       (12150449453*s[25])/1154736 + (3400410241*s[26])/577368 + 
       (29*s[30])/36 - s[31]/9 - (5*s[32])/36 - (7*s[33])/3 + (53*s[34])/12 - 
       (95*s[35])/36 - (485*s[36])/36 + (205*s[37])/18 + (8261*s[38])/36 - 
       (14935*s[39])/16 + (152755*s[40])/144 - (120815*s[41])/144 + 
       (192233*s[42])/144 + (14407*s[43])/16 - (267121*s[44])/288 + 
       (506543*s[45])/432 - (459421*s[46])/54 + (209623*s[47])/864 + 
       (248419*s[48])/864 - (3528385*s[49])/864 + (79013*s[50])/12 + 
       (795797*s[51])/864 + (631487*s[52])/864 - (751427*s[53])/162 + 
       (15119*s[54])/216 - (25744273*s[55])/864 - (20176153*s[56])/2592 + 
       (19713767*s[57])/3888 - (294334949*s[58])/23328 + 
       (300499319*s[59])/23328 + (122062609*s[60])/1728 - 
       (811185287*s[61])/209952 - s[68]/3 + s[69]/3 + (8*s[70])/9 - 
       (3*s[71])/4 + (7*s[72])/2 - s[73]/2 - (83*s[74])/24 + (77*s[75])/24 - 
       (11*s[76])/3 - (79*s[77])/36 + (3*s[78])/2 + (676*s[79])/9 - 
       (1007*s[80])/54 + (483*s[82])/2 + 42*s[84] + (190*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - v]*
      ((25*s[2])/4 + (160*s[3])/3 + (409*s[4])/6 + (9923*s[5])/264 + 
       (15351*s[6])/88 + (2349047*s[7])/1584 - (872*s[8])/11 - 
       (28933*s[9])/24 - (4541*s[10])/8 - (855245*s[11])/528 - 
       (223567*s[12])/132 - (1568125*s[13])/1584 - (202453*s[14])/528 - 
       (300923*s[15])/144 - (1070029*s[16])/396 - (3627623*s[17])/1584 - 
       (50561*s[18])/216 - (20401*s[19])/54 - (3764147*s[20])/1188 - 
       (5006119*s[21])/4752 + (1196951*s[22])/1584 + (150499*s[23])/198 + 
       (21053*s[24])/11 - (86040835*s[25])/42768 + (46176235*s[26])/42768 - 
       (8*s[32])/3 - (83*s[37])/6 + (89*s[38])/6 - (623*s[39])/12 + 
       (1007*s[40])/12 - 72*s[41] + (347*s[42])/6 + (18449*s[43])/132 - 
       (20153*s[44])/132 + (33305*s[45])/132 - (15944*s[46])/11 - 
       (30655*s[47])/396 + (32621*s[48])/99 - (68834*s[49])/99 + 
       (55885*s[50])/44 + (8857*s[51])/99 - (563*s[52])/99 - 
       (309355*s[53])/396 - (34783*s[54])/132 - (2102651*s[55])/396 - 
       (27645*s[56])/22 - (790489*s[57])/792 - (634699*s[58])/396 + 
       (17129*s[59])/11 + (32721503*s[60])/2376 - (16164275*s[61])/21384 - 
       (16*s[68])/3 + (16*s[69])/3 - (16*s[77])/3 + 259*s[82] + 64*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Omega2[v, w, u]*
      ((17*s[2])/2 + (211*s[3])/4 + (10977*s[4])/8 + (86939*s[5])/132 + 
       (535993*s[6])/264 + (88750631*s[7])/4752 - (12512585*s[8])/7128 - 
       (1259450*s[9])/81 - (1460677*s[10])/324 - (98739233*s[11])/4752 - 
       (55297439*s[12])/2376 - (22351591*s[13])/1584 - (4921547*s[14])/4752 - 
       (386331*s[15])/16 - (8224699*s[16])/264 - (108261271*s[17])/4752 - 
       (3191029*s[18])/972 - (5454901*s[19])/1944 - (764887225*s[20])/21384 - 
       (532341629*s[21])/42768 + (419045293*s[22])/42768 + 
       (9684185*s[23])/396 + (107125841*s[24])/5346 - 
       (2613612677*s[25])/96228 + (684109573*s[26])/48114 - (14*s[29])/3 + 
       7*s[30] + (20*s[31])/3 + s[32]/3 + (25*s[33])/3 - (41*s[34])/3 - 
       (53*s[35])/3 - (593*s[36])/9 + (200*s[37])/3 + (2218*s[38])/3 - 
       (17767*s[39])/6 + (59023*s[40])/18 - (5129*s[41])/2 + 
       (76931*s[42])/18 + (503039*s[43])/198 - (269923*s[44])/99 + 
       (182821*s[45])/66 - (2217427*s[46])/99 + (1208489*s[47])/1188 + 
       (322571*s[48])/1188 - (13814525*s[49])/1188 + (3394409*s[50])/198 + 
       (3475621*s[51])/1188 + (1400627*s[52])/594 - (7034839*s[53])/594 + 
       (40343*s[54])/99 - (4928237*s[55])/66 - (23562401*s[56])/1188 + 
       (79484921*s[57])/3564 - (94764724*s[58])/2673 + 
       (191796485*s[59])/5346 + (1298443991*s[60])/7128 - 
       (463037621*s[61])/48114 - (4*s[65])/3 - (16*s[66])/3 + (22*s[67])/3 + 
       (16*s[68])/3 + (28*s[69])/3 + (4*s[70])/3 - (2*s[71])/3 + 
       (46*s[72])/3 - (26*s[73])/3 - (33*s[74])/2 + (33*s[75])/2 - 
       (58*s[76])/3 - (17*s[77])/3 + (76*s[78])/3 + 236*s[79] - 
       (124*s[80])/3 + 132*s[82] + 4*s[83] + 112*s[84] + 64*s[85]) + 
     HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*((5*s[2])/4 - (181*s[3])/12 - 
       (12109*s[4])/48 - (160651*s[5])/528 - (34495*s[6])/88 - 
       (45611767*s[7])/9504 + (106567*s[8])/264 + (595291*s[9])/144 + 
       (63641*s[10])/48 + (16259017*s[11])/3168 + (2863837*s[12])/528 + 
       (29365943*s[13])/9504 + (2203357*s[14])/3168 + (5946163*s[15])/864 + 
       (9857131*s[16])/1188 + (65843119*s[17])/9504 + (65362*s[18])/81 + 
       (1162781*s[19])/1296 + (139898645*s[20])/14256 + 
       (101372219*s[21])/28512 - (7972955*s[22])/3168 - 
       (11556727*s[23])/2376 - (12780859*s[24])/2376 + 
       (1659928841*s[25])/256608 - (918845009*s[26])/256608 - s[28]/8 + 
       s[29]/2 - (17*s[30])/12 + (31*s[31])/6 + (43*s[32])/24 - 
       (61*s[33])/12 + (65*s[34])/12 - (331*s[35])/12 - (37*s[36])/18 - 
       (7019*s[37])/72 - (207*s[38])/2 + (2353*s[39])/4 - (5479*s[40])/9 + 
       (2573*s[41])/6 - (66601*s[42])/72 - (127265*s[43])/396 + 
       (354745*s[44])/792 - (634741*s[45])/1584 + (641171*s[46])/176 - 
       (968507*s[47])/2376 + (1188571*s[48])/2376 + (528142*s[49])/297 - 
       (2301499*s[50])/792 - (359701*s[51])/594 - (1103923*s[52])/2376 + 
       (1106819*s[53])/528 - (5837*s[54])/44 + (20057591*s[55])/1584 + 
       (6795301*s[56])/2376 - (63148553*s[57])/14256 + 
       (15643492*s[58])/2673 - (257437003*s[59])/42768 - 
       (815774125*s[60])/28512 + (1043287835*s[61])/769824 - s[64]/4 + 
       s[65]/12 + s[66]/3 + (4*s[67])/3 + (19*s[68])/6 + (15*s[69])/4 + 
       (46*s[70])/3 - (17*s[71])/3 - (29*s[72])/6 + 13*s[73] + 
       (167*s[74])/24 - (131*s[75])/24 + (43*s[76])/6 - (52*s[77])/3 - 
       (49*s[78])/6 - (214*s[79])/3 + (1801*s[80])/36 - s[81]/12 - 
       (247*s[82])/2 - (7*s[83])/4 - 5*s[84] + 66*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((55*s[2])/12 + 44*s[3] + (28105*s[4])/48 + (58469*s[5])/132 + 
       (25301*s[6])/22 + (15928009*s[7])/1584 - (907133*s[8])/1188 - 
       (1837427*s[9])/216 - (1205225*s[10])/432 - (17455351*s[11])/1584 - 
       (1180736*s[12])/99 - (2520413*s[13])/352 - (2430061*s[14])/1584 - 
       (80701*s[15])/6 - (18035645*s[16])/1056 - (21182153*s[17])/1584 - 
       (301945*s[18])/162 - (995297*s[19])/648 - (578033081*s[20])/28512 - 
       (211234715*s[21])/28512 + (75299261*s[22])/14256 + (236831*s[23])/22 + 
       (79371751*s[24])/7128 - (1783698589*s[25])/128304 + 
       (1989173243*s[26])/256608 + s[30] - (2*s[31])/3 + s[32]/4 + 
       (3*s[33])/4 + (2*s[34])/3 - (10*s[35])/3 - (68*s[36])/3 + 
       (32*s[37])/9 + (2667*s[38])/8 - (63845*s[39])/48 + (23975*s[40])/16 - 
       (58307*s[41])/48 + (90473*s[42])/48 + (225897*s[43])/176 - 
       (87059*s[44])/66 + (2369381*s[45])/1584 - (1123880*s[46])/99 + 
       (169379*s[47])/528 + (226843*s[48])/528 - (1015081*s[49])/176 + 
       (773279*s[50])/88 + (1037647*s[51])/792 + (181385*s[52])/176 - 
       (14366417*s[53])/2376 + (611*s[54])/792 - (7637305*s[55])/198 - 
       (23755219*s[56])/2376 + (60141727*s[57])/7128 - 
       (367934357*s[58])/21384 + (746208607*s[59])/42768 + 
       (894631921*s[60])/9504 - (3832813901*s[61])/769824 - (17*s[68])/6 + 
       (17*s[69])/6 - (7*s[71])/3 + 4*s[72] + 4*s[73] - (14*s[74])/3 + 
       (14*s[75])/3 - 4*s[76] - (7*s[77])/2 + (10*s[78])/3 + (304*s[79])/3 - 
       (50*s[80])/9 + 181*s[82] + 48*s[84] + 66*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((-103*s[2])/12 - (251*s[3])/12 - (21157*s[4])/48 + (40607*s[5])/132 + 
       (19363*s[6])/528 + (1264621*s[7])/1188 + (5229791*s[8])/14256 - 
       (1585211*s[9])/1296 - (232133*s[10])/162 - (439399*s[11])/594 + 
       (470383*s[12])/2376 + (1410775*s[13])/2376 - (3430043*s[14])/1188 - 
       (1173725*s[15])/432 - (3484207*s[16])/1188 - (2437277*s[17])/528 - 
       (121337*s[18])/486 - (2214479*s[19])/3888 - (226029887*s[20])/42768 - 
       (108996575*s[21])/42768 + (26488249*s[22])/42768 - 
       (30657853*s[23])/4752 + (56599535*s[24])/21384 + 
       (372814391*s[25])/769824 + (671482249*s[26])/769824 - s[28]/2 - 
       8*s[29] - (121*s[30])/12 - 15*s[31] - (5*s[32])/2 - (245*s[33])/16 + 
       (87*s[34])/4 - 2*s[35] + (653*s[36])/18 - (4981*s[37])/72 - 
       (529*s[38])/3 + (4655*s[39])/6 - (7186*s[40])/9 + (3421*s[41])/6 - 
       (86233*s[42])/72 - (46103*s[43])/99 + (1675981*s[44])/3168 - 
       (174929*s[45])/1584 + (4585903*s[46])/1584 - (4301867*s[47])/9504 + 
       (4784221*s[48])/9504 + (16718597*s[49])/9504 - (1441219*s[50])/792 - 
       (6987907*s[51])/9504 - (6777493*s[52])/9504 + (6257789*s[53])/4752 - 
       (717247*s[54])/792 + (7610983*s[55])/1056 + (2795503*s[56])/1056 - 
       (46960495*s[57])/4752 + (182762231*s[58])/28512 - 
       (181999019*s[59])/28512 - (1027346957*s[60])/57024 + 
       (35871577*s[61])/42768 - (3*s[64])/4 - s[65]/4 + 2*s[66] + 
       (15*s[67])/2 + (14*s[68])/3 + (59*s[69])/6 + 8*s[70] - s[71]/6 - 
       17*s[72] - (13*s[73])/3 + (22*s[74])/3 - (73*s[75])/12 + 
       (185*s[76])/6 + 2*s[77] - 28*s[78] - (227*s[79])/3 - (475*s[80])/36 + 
       550*s[82] - (3*s[83])/4 - (125*s[84])/2 + 68*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      (9*s[2] + (33*s[3])/2 + (3935*s[4])/8 + (12874*s[5])/33 + 
       (166099*s[6])/176 + (1486027*s[7])/176 - (3188825*s[8])/4752 - 
       (3092935*s[9])/432 - (120019*s[10])/54 - (29443235*s[11])/3168 - 
       (32186137*s[12])/3168 - (4827065*s[13])/792 - (837125*s[14])/792 - 
       (1608739*s[15])/144 - (11285453*s[16])/792 - (34617167*s[17])/3168 - 
       (2081057*s[18])/1296 - (1534285*s[19])/1296 - (29961599*s[20])/1782 - 
       (43902869*s[21])/7128 + (63424685*s[22])/14256 + 
       (31872427*s[23])/3168 + (260774983*s[24])/28512 - 
       (3023602367*s[25])/256608 + (1671870659*s[26])/256608 + s[30] + 
       2*s[31] + s[32] + (19*s[33])/4 - s[34] - 2*s[35] - 14*s[36] + 
       (71*s[37])/6 + (1841*s[38])/6 - (14981*s[39])/12 + (16805*s[40])/12 - 
       (26767*s[41])/24 + (43049*s[42])/24 + (152363*s[43])/132 - 
       (313777*s[44])/264 + (171223*s[45])/132 - (669413*s[46])/66 + 
       (44723*s[47])/132 + (10144*s[48])/33 - (1385311*s[49])/264 + 
       (344965*s[50])/44 + (939317*s[51])/792 + (82981*s[52])/88 - 
       (539303*s[53])/99 + (437*s[54])/33 - (13597871*s[55])/396 - 
       (3541255*s[56])/396 + (10121887*s[57])/1188 - (110925445*s[58])/7128 + 
       (28268641*s[59])/1782 + (33024235*s[60])/396 - 
       (566796431*s[61])/128304 - 3*s[68] + 3*s[69] + 2*s[70] - s[71] + 
       4*s[72] - 4*s[74] + 4*s[75] - 6*s[76] - 5*s[77] + 2*s[78] + 96*s[79] - 
       (64*s[80])/3 + 182*s[82] + 48*s[84] + 68*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*
      ((31*s[2])/6 + (321*s[3])/8 + (515*s[4])/8 + (4802*s[5])/33 + 
       (304075*s[6])/1056 + (4042411*s[7])/1584 - (432335*s[8])/3168 - 
       (618019*s[9])/288 - (142189*s[10])/144 - (5600053*s[11])/2112 - 
       (1833357*s[12])/704 - (142631*s[13])/99 - (40461*s[14])/44 - 
       (71279*s[15])/18 - (14944519*s[16])/3168 - (27667987*s[17])/6336 - 
       (13705*s[18])/32 - (166577*s[19])/288 - (3048997*s[20])/528 - 
       (5126687*s[21])/2376 + (12432887*s[22])/9504 + (7582609*s[23])/6336 + 
       (62064427*s[24])/19008 - (535626085*s[25])/171072 + 
       (330889765*s[26])/171072 - s[30] - (7*s[31])/3 - s[32] - 
       (13*s[33])/4 + (29*s[34])/3 + (71*s[35])/12 - (13*s[36])/9 - 
       (407*s[37])/18 + (57*s[38])/4 - (1655*s[39])/24 + (7769*s[40])/72 - 
       (1609*s[41])/16 + (10283*s[42])/144 + (176953*s[43])/792 - 
       (619699*s[44])/3168 + (182713*s[45])/396 - (680783*s[46])/264 - 
       (1309093*s[47])/9504 + (3495707*s[48])/9504 - (10255967*s[49])/9504 + 
       (1728235*s[50])/792 + (408025*s[51])/9504 - (294329*s[52])/9504 - 
       (2560229*s[53])/1584 - (6471*s[54])/22 - (34283107*s[55])/3168 - 
       (22802371*s[56])/9504 - (2588989*s[57])/891 - (222272837*s[58])/
        85536 + (253558511*s[59])/85536 + (1366103687*s[60])/57024 - 
       (1032493577*s[61])/769824 - (19*s[68])/6 + (19*s[69])/6 + 
       (3*s[70])/2 + (19*s[74])/12 - (19*s[75])/12 + (13*s[76])/3 - 
       (25*s[77])/6 - (10*s[78])/3 + (2*s[79])/3 - (101*s[80])/18 + 
       356*s[82] + 70*s[85]) + HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u]*((193*s[2])/8 - (375*s[3])/16 + 
       (5183*s[4])/96 + (121325*s[5])/264 + (665393*s[6])/1056 + 
       (12555409*s[7])/2112 - (639763*s[8])/3168 - (378191*s[9])/72 - 
       (293627*s[10])/144 - (13264835*s[11])/2112 - (69593*s[12])/11 - 
       (2523875*s[13])/704 - (4924003*s[14])/2112 - (4894333*s[15])/576 - 
       (1358761*s[16])/132 - (19064213*s[17])/2112 - (68449*s[18])/54 - 
       (721811*s[19])/864 - (128468447*s[20])/9504 - (102615397*s[21])/
        19008 + (60068969*s[22])/19008 + (1621297*s[23])/528 + 
       (8277215*s[24])/1188 - (613353137*s[25])/85536 + 
       (399545933*s[26])/85536 + 4*s[29] - (41*s[30])/6 + (47*s[31])/6 + 
       (5*s[32])/4 - (169*s[33])/48 - (20*s[34])/3 - (217*s[35])/12 + 
       (281*s[36])/36 - (859*s[37])/72 + (1645*s[38])/12 - (9943*s[39])/24 + 
       (34571*s[40])/72 - (827*s[41])/2 + (37015*s[42])/72 + 
       (463411*s[43])/792 - (1669399*s[44])/3168 + (1530553*s[45])/1584 - 
       (3160855*s[46])/528 + (96185*s[47])/9504 + (4811093*s[48])/9504 - 
       (24295571*s[49])/9504 + (1821647*s[50])/396 + (4360261*s[51])/9504 + 
       (2936347*s[52])/9504 - (2581855*s[53])/792 + (1935*s[54])/44 - 
       (23473205*s[55])/1056 - (55648501*s[56])/9504 - 
       (14571253*s[57])/14256 - (666510065*s[58])/85536 + 
       (676139579*s[59])/85536 + (2977826891*s[60])/57024 - 
       (2268460391*s[61])/769824 + s[65] + 4*s[66] - 6*s[67] + 2*s[68] - 
       14*s[69] + (19*s[70])/2 - s[71] + s[72]/6 + (71*s[73])/6 + 
       (23*s[74])/8 - (19*s[75])/8 + (25*s[76])/6 + (11*s[77])/4 - 
       (83*s[78])/6 + (20*s[79])/3 - (103*s[80])/36 + 417*s[82] - 3*s[83] + 
       19*s[84] + 70*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - u]*((-105*s[2])/8 + (641*s[3])/16 + 
       (2861*s[4])/96 + (154921*s[5])/528 + (135891*s[6])/352 + 
       (67760197*s[7])/19008 - (2722639*s[8])/28512 - (1014793*s[9])/324 - 
       (932917*s[10])/648 - (68094439*s[11])/19008 - (1964071*s[12])/594 - 
       (11199079*s[13])/6336 - (33151699*s[14])/19008 - (3344377*s[15])/576 - 
       (10402643*s[16])/1584 - (124617137*s[17])/19008 - (641249*s[18])/972 - 
       (6004991*s[19])/7776 - (723967127*s[20])/85536 - 
       (564691993*s[21])/171072 + (316396577*s[22])/171072 + 
       (1951205*s[23])/1584 + (47196551*s[24])/10692 - 
       (3108081917*s[25])/769824 + (2084492765*s[26])/769824 + 4*s[29] - 
       s[30]/12 - (23*s[31])/3 - s[32] - (71*s[33])/24 + (209*s[34])/12 + 
       (335*s[35])/12 + (629*s[36])/36 - (1351*s[37])/72 + (137*s[38])/4 - 
       (2195*s[39])/24 + (12551*s[40])/72 - (1193*s[41])/12 + 
       (4549*s[42])/72 + (194659*s[43])/792 - (808627*s[44])/3168 + 
       (1042021*s[45])/1584 - (1774195*s[46])/528 - (1382347*s[47])/9504 + 
       (3852113*s[48])/9504 - (11420159*s[49])/9504 + (577177*s[50])/198 + 
       (1297465*s[51])/9504 - (257129*s[52])/9504 - (1671187*s[53])/792 - 
       (9307*s[54])/44 - (46056859*s[55])/3168 - (30077065*s[56])/9504 - 
       (62393269*s[57])/14256 - (278807189*s[58])/85536 + 
       (311849807*s[59])/85536 + (1810384175*s[60])/57024 - 
       (1291771271*s[61])/769824 + s[65] + 4*s[66] - 6*s[67] - (17*s[68])/2 - 
       (7*s[69])/2 - (9*s[70])/2 - s[71] - (11*s[72])/6 + (35*s[73])/6 + 
       (23*s[74])/8 - (23*s[75])/8 + (37*s[76])/6 - (9*s[77])/4 - 
       (95*s[78])/6 + (224*s[79])/3 - (1339*s[80])/36 + 435*s[82] - 3*s[83] + 
       19*s[84] + 70*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((589*s[2])/72 + (559*s[3])/16 + 
       (76309*s[4])/288 + (14251*s[5])/66 + (1835947*s[6])/3168 + 
       (92735791*s[7])/19008 - (1164043*s[8])/3168 - (587099*s[9])/144 - 
       (68791*s[10])/48 - (3713099*s[11])/704 - (8869075*s[12])/1584 - 
       (63799259*s[13])/19008 - (1957489*s[14])/2112 - 
       (11742869*s[15])/1728 - (40048841*s[16])/4752 - 
       (131460151*s[17])/19008 - (529027*s[18])/648 - (2262509*s[19])/2592 - 
       (283023089*s[20])/28512 - (202033661*s[21])/57024 + 
       (48090179*s[22])/19008 + (21802483*s[23])/4752 + 
       (13381211*s[24])/2376 - (426986959*s[25])/64152 + 
       (236080687*s[26])/64152 - s[27]/12 + s[29] + s[30]/12 + (14*s[31])/9 - 
       (2*s[32])/3 - (11*s[33])/24 + (23*s[34])/36 + (163*s[35])/18 + 
       (67*s[36])/54 + (172*s[37])/27 + (1387*s[38])/12 - (23227*s[39])/48 + 
       (244939*s[40])/432 - (7221*s[41])/16 + (298529*s[42])/432 + 
       (2558549*s[43])/4752 - (162026*s[44])/297 + (1798343*s[45])/2376 - 
       (8402423*s[46])/1584 + (820747*s[47])/14256 + (2421047*s[48])/7128 - 
       (4326197*s[49])/1782 + (4979603*s[50])/1188 + (7295447*s[51])/14256 + 
       (4667471*s[52])/14256 - (3531235*s[53])/1188 + (15409*s[54])/396 - 
       (5721821*s[55])/297 - (17622491*s[56])/3564 + (46050005*s[57])/42768 - 
       (464949113*s[58])/64152 + (957164239*s[59])/128304 + 
       (241564429*s[60])/5346 - (5689162691*s[61])/2309472 + s[65]/6 + 
       (2*s[66])/3 - (4*s[67])/3 - (73*s[68])/18 + (43*s[69])/18 - 
       (5*s[70])/6 + (3*s[72])/2 + (7*s[73])/6 - (85*s[74])/72 + 
       (85*s[75])/72 - (67*s[76])/18 - (113*s[77])/36 - (31*s[78])/9 + 
       (605*s[79])/9 - (730*s[80])/27 + (929*s[82])/3 - s[83]/2 + 23*s[84] + 
       (212*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]^2*((189*s[2])/16 + (7421*s[3])/96 + 
       (164465*s[4])/192 + (296125*s[5])/528 + (3203549*s[6])/2112 + 
       (56916191*s[7])/4224 - (21461233*s[8])/19008 - (9750817*s[9])/864 - 
       (3063743*s[10])/864 - (188059957*s[11])/12672 - 
       (103077697*s[12])/6336 - (124300477*s[13])/12672 - 
       (19529335*s[14])/12672 - (6863737*s[15])/384 - (72116377*s[16])/3168 - 
       (221376487*s[17])/12672 - (6276725*s[18])/2592 - 
       (10878197*s[19])/5184 - (1516479743*s[20])/57024 - 
       (1086076009*s[21])/114048 + (803430209*s[22])/114048 + 
       (99461815*s[23])/6336 + (843865009*s[24])/57024 - 
       (2439698285*s[25])/128304 + (1324124561*s[26])/128304 - s[29]/3 - 
       (23*s[30])/12 + 4*s[31] - (61*s[32])/24 + (145*s[33])/96 - 5*s[34] - 
       (17*s[35])/8 - (1763*s[36])/72 + (619*s[37])/18 + (2711*s[38])/6 - 
       (29323*s[39])/16 + (294985*s[40])/144 - (38497*s[41])/24 + 
       (379289*s[42])/144 + (2604197*s[43])/1584 - (10934807*s[44])/6336 + 
       (755471*s[45])/396 - (23380153*s[46])/1584 + (10911337*s[47])/19008 + 
       (5855869*s[48])/19008 - (142345711*s[49])/19008 + (1125545*s[50])/99 + 
       (34122989*s[51])/19008 + (27279803*s[52])/19008 - 
       (75095893*s[53])/9504 + (330395*s[54])/1584 - (105957553*s[55])/2112 - 
       (27734041*s[56])/2112 + (118083431*s[57])/9504 - 
       (1299245881*s[58])/57024 + (1319637985*s[59])/57024 + 
       (13822221637*s[60])/114048 - (551542037*s[61])/85536 + s[64]/12 - 
       s[65]/6 - (5*s[66])/12 - s[67]/3 - (10*s[68])/3 + (2*s[69])/3 - 
       s[70]/4 - (7*s[71])/24 + (73*s[72])/12 + (17*s[73])/12 - 
       (373*s[74])/48 + (397*s[75])/48 - (31*s[76])/3 - (235*s[77])/24 + 
       (107*s[78])/12 + (851*s[79])/6 - (541*s[80])/18 + 287*s[82] + 
       (3*s[83])/16 + (599*s[84])/8 + 71*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1}, 1 - u]*
      ((-261*s[2])/4 + (97*s[3])/8 - (12789*s[4])/16 - (135793*s[5])/88 - 
       (464425*s[6])/176 - (22333763*s[7])/1056 + (2357777*s[8])/1584 + 
       (654415*s[9])/36 + (186671*s[10])/36 + (23800265*s[11])/1056 + 
       (3149513*s[12])/132 + (4970305*s[13])/352 + (4673165*s[14])/1056 + 
       (909103*s[15])/32 + (3050797*s[16])/88 + (30147319*s[17])/1056 + 
       (248719*s[18])/54 + (905293*s[19])/432 + (200960041*s[20])/4752 + 
       (155202479*s[21])/9504 - (103784239*s[22])/9504 - (2048131*s[23])/88 - 
       (25688189*s[24])/1188 + (1200633175*s[25])/42768 - 
       (704160883*s[26])/42768 + 2*s[28] + 2*s[29] + (11*s[30])/2 - 
       24*s[31] - s[32] + 16*s[33] + (93*s[34])/2 + (63*s[35])/2 + 
       (161*s[36])/2 - (771*s[37])/4 - (1361*s[38])/2 + (12935*s[39])/4 - 
       (13337*s[40])/4 + 2433*s[41] - (18627*s[42])/4 - (96873*s[43])/44 + 
       (416661*s[44])/176 - (240791*s[45])/88 + (1890275*s[46])/88 - 
       (320949*s[47])/176 + (234375*s[48])/176 + (1677935*s[49])/176 - 
       (338675*s[50])/22 - (1763555*s[51])/528 - (533547*s[52])/176 + 
       (1543879*s[53])/132 - (48054*s[54])/11 + (12334345*s[55])/176 + 
       (10593515*s[56])/528 - (18857683*s[57])/792 + (163822423*s[58])/4752 - 
       (163176637*s[59])/4752 - (168705263*s[60])/1056 + 
       (419886505*s[61])/42768 - 20*s[63] + 3*s[64] + 8*s[65] + 4*s[66] - 
       12*s[67] + s[68] - 11*s[69] + 112*s[70] - 18*s[71] - 9*s[72] + 
       31*s[73] + (169*s[74])/4 - (67*s[75])/4 + 51*s[76] - (259*s[77])/2 - 
       29*s[78] + 24*s[79] + (113*s[80])/2 + 1518*s[82] - 51*s[83] - 
       72*s[84] + 72*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 1}, 1 - v]*
      ((-373*s[2])/4 + (1987*s[3])/8 - (15659*s[4])/16 - (183159*s[5])/88 - 
       (609823*s[6])/176 - (10275467*s[7])/352 + (9539333*s[8])/4752 + 
       (2764675*s[9])/108 + (816011*s[10])/108 + (98759753*s[11])/3168 + 
       (12948893*s[12])/396 + (61169363*s[13])/3168 + (22141301*s[14])/3168 + 
       (11481397*s[15])/288 + (38453873*s[16])/792 + (126700223*s[17])/3168 + 
       (523082*s[18])/81 + (3383749*s[19])/1296 + (862374721*s[20])/14256 + 
       (681734711*s[21])/28512 - (440122567*s[22])/28512 - 
       (23884933*s[23])/792 - (26815043*s[24])/891 + (4860668905*s[25])/
        128304 - (2949653005*s[26])/128304 - s[28] + 16*s[29] + (3*s[30])/2 - 
       40*s[31] + (27*s[32])/2 - 69*s[33] + (187*s[34])/2 + (51*s[35])/2 + 
       (523*s[36])/6 - (2351*s[37])/12 - (1987*s[38])/2 + (17785*s[39])/4 - 
       (56513*s[40])/12 + (7047*s[41])/2 - (78571*s[42])/12 - 
       (457165*s[43])/132 + (1855105*s[44])/528 - (1035085*s[45])/264 + 
       (2759351*s[46])/88 - (3346715*s[47])/1584 + (2492569*s[48])/1584 + 
       (23143697*s[49])/1584 - (1543349*s[50])/66 - (7424695*s[51])/1584 - 
       (6261109*s[52])/1584 + (1136563*s[53])/66 - (73189*s[54])/22 + 
       (55690565*s[55])/528 + (45047263*s[56])/1584 - (79400153*s[57])/2376 + 
       (713767943*s[58])/14256 - (725928545*s[59])/14256 - 
       (2291356517*s[60])/9504 + (1770688295*s[61])/128304 + 9*s[62] + 
       s[64] + 2*s[65] - 4*s[66] + 6*s[67] - 3*s[68] + 17*s[69] + 56*s[70] - 
       11*s[71] - 51*s[72] - 3*s[73] + (123*s[74])/4 - (129*s[75])/4 + 
       58*s[76] - (89*s[77])/2 - 43*s[78] - 132*s[79] + (193*s[80])/6 - 
       s[81]/3 + 1518*s[82] - 51*s[83] - 72*s[84] + 72*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((46*s[2])/3 + (13*s[3])/2 + (3947*s[4])/12 + (5417*s[5])/11 + 
       (127547*s[6])/132 + (2225251*s[7])/264 - (1607657*s[8])/3564 - 
       (1183121*s[9])/162 - (418411*s[10])/162 - (21446321*s[11])/2376 - 
       (11139563*s[12])/1188 - (13190477*s[13])/2376 - (5356415*s[14])/2376 - 
       (2558005*s[15])/216 - (17158459*s[16])/1188 - (28769627*s[17])/2376 - 
       (770383*s[18])/486 - (1243885*s[19])/972 - (192069673*s[20])/10692 - 
       (146018573*s[21])/21384 + (95321041*s[22])/21384 + 
       (2038409*s[23])/297 + (51895549*s[24])/5346 - (526933751*s[25])/
        48114 + (157231699*s[26])/24057 + (2*s[27])/3 + 6*s[29] - 4*s[30] + 
       (22*s[31])/3 + (19*s[33])/2 + (2*s[34])/3 - (20*s[35])/3 + 
       (98*s[36])/9 + (208*s[37])/9 + (703*s[38])/3 - 816*s[39] + 
       (8776*s[40])/9 - (1555*s[41])/2 + (10052*s[42])/9 + (97646*s[43])/99 - 
       (179167*s[44])/198 + (245963*s[45])/198 - (568207*s[46])/66 + 
       (55183*s[47])/1188 + (739339*s[48])/1188 - (4915195*s[49])/1188 + 
       (663485*s[50])/99 + (934379*s[51])/1188 + (366055*s[52])/594 - 
       (154391*s[53])/33 + (10267*s[54])/66 - (12132695*s[55])/396 - 
       (9451469*s[56])/1188 + (2302781*s[57])/891 - (129227149*s[58])/10692 + 
       (132697171*s[59])/10692 + (529987951*s[60])/7128 - 
       (373854001*s[61])/96228 - s[62] + 2*s[65] + 8*s[66] - 12*s[67] - 
       (32*s[68])/3 - (52*s[69])/3 + 4*s[70] - (7*s[71])/3 - 4*s[72] + 
       12*s[73] + (16*s[74])/3 - (16*s[75])/3 - (4*s[76])/3 - (8*s[77])/3 - 
       (58*s[78])/3 + (400*s[79])/3 - (328*s[80])/9 + 230*s[82] - 6*s[83] + 
       36*s[84] + 72*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*(35*s[2] + (467*s[3])/6 + (1349*s[4])/4 + 
       (35221*s[5])/66 + (46771*s[6])/44 + (6913055*s[7])/792 - 
       (551641*s[8])/1188 - (404263*s[9])/54 - (141137*s[10])/54 - 
       (7430695*s[11])/792 - (3869665*s[12])/396 - (4595507*s[13])/792 - 
       (1835725*s[14])/792 - (97749*s[15])/8 - (1484974*s[16])/99 - 
       (1112913*s[17])/88 - (140797*s[18])/81 - (421577*s[19])/324 - 
       (65905871*s[20])/3564 - (50654083*s[21])/7128 + 
       (32440979*s[22])/7128 + (2999339*s[23])/396 + (35490409*s[24])/3564 - 
       (365394983*s[25])/32076 + (219178337*s[26])/32076 + 8*s[29] - 
       4*s[30] + 8*s[31] + 3*s[32] + (7*s[33])/2 - 4*s[34] + 2*s[35] + 
       (50*s[36])/3 + (32*s[37])/3 + (719*s[38])/3 - (2491*s[39])/3 + 
       (2869*s[40])/3 - (4451*s[41])/6 + (3460*s[42])/3 + (28865*s[43])/33 - 
       (107725*s[44])/132 + (72311*s[45])/66 - (169563*s[46])/22 + 
       (72901*s[47])/396 + (144973*s[48])/396 - (1446193*s[49])/396 + 
       (385631*s[50])/66 + (110779*s[51])/132 + (275369*s[52])/396 - 
       (136151*s[53])/33 + (26905*s[54])/66 - (10620535*s[55])/396 - 
       (2825147*s[56])/396 + (1256984*s[57])/297 - (40675111*s[58])/3564 + 
       (41135983*s[59])/3564 + (152965177*s[60])/2376 - 
       (112170043*s[61])/32076 + 2*s[65] + 8*s[66] - 12*s[67] - 
       (26*s[68])/3 - (64*s[69])/3 - 2*s[71] - 4*s[72] + 16*s[73] + 3*s[74] - 
       3*s[75] - 2*s[76] + (4*s[77])/3 - 20*s[78] + 72*s[79] - (58*s[80])/3 + 
       230*s[82] - 6*s[83] + 36*s[84] + 72*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((35*s[2])/3 - 7*s[3] + (224*s[4])/3 + (23809*s[5])/66 + 
       (43595*s[6])/66 + (1922257*s[7])/396 - (119125*s[8])/594 - 
       (114775*s[9])/27 - (42095*s[10])/27 - (2033209*s[11])/396 - 
       (509213*s[12])/99 - (135987*s[13])/44 - (710977*s[14])/396 - 
       (250139*s[15])/36 - (184241*s[16])/22 - (2943749*s[17])/396 - 
       (77120*s[18])/81 - (54889*s[19])/81 - (18956063*s[20])/1782 - 
       (15243205*s[21])/3564 + (9100913*s[22])/3564 + (67757*s[23])/22 + 
       (10083793*s[24])/1782 - (48126508*s[25])/8019 + 
       (30931027*s[26])/8019 + s[27] + 6*s[29] - 4*s[30] + 6*s[31] - 
       2*s[33] + 2*s[34] - 8*s[35] + (269*s[36])/9 + (20*s[37])/3 + 
       103*s[38] - (3833*s[39])/12 + (14383*s[40])/36 - (3631*s[41])/12 + 
       (14351*s[42])/36 + (201293*s[43])/396 - (321391*s[44])/792 + 
       (54185*s[45])/66 - (1964621*s[46])/396 - (169579*s[47])/2376 + 
       (1263479*s[48])/2376 - (4835723*s[49])/2376 + (373232*s[50])/99 + 
       (635095*s[51])/2376 + (511237*s[52])/2376 - (3274891*s[53])/1188 + 
       (34055*s[54])/198 - (14652049*s[55])/792 - (11957177*s[56])/2376 - 
       (587705*s[57])/891 - (139281403*s[58])/21384 + 
       (142656961*s[59])/21384 + (614143457*s[60])/14256 - 
       (477331231*s[61])/192456 - (4*s[62])/3 + 2*s[65] + 8*s[66] - 
       12*s[67] - (14*s[68])/3 - (58*s[69])/3 + 4*s[70] - (7*s[71])/3 - 
       4*s[72] + 12*s[73] + (16*s[74])/3 - (16*s[75])/3 + (10*s[77])/3 - 
       (52*s[78])/3 + 44*s[79] - (68*s[80])/3 + 266*s[82] - 6*s[83] + 
       36*s[84] + 72*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*((103*s[2])/3 - (55*s[3])/2 + (809*s[4])/12 + 
       (13474*s[5])/33 + (93659*s[6])/132 + (1429663*s[7])/264 - 
       (87653*s[8])/396 - (43189*s[9])/9 - (30739*s[10])/18 - 
       (1503269*s[11])/264 - (188501*s[12])/33 - (898831*s[13])/264 - 
       (180619*s[14])/88 - (185657*s[15])/24 - (307715*s[16])/33 - 
       (2180711*s[17])/264 - (30068*s[18])/27 - (68473*s[19])/108 - 
       (14231047*s[20])/1188 - (11462903*s[21])/2376 + (6839671*s[22])/2376 + 
       (40078*s[23])/11 + (3658273*s[24])/594 - (70889443*s[25])/10692 + 
       (45937429*s[26])/10692 + 8*s[29] - 4*s[30] + 8*s[31] - s[32]/3 + 
       (7*s[33])/2 - 4*s[34] + 2*s[35] + (50*s[36])/3 + s[37]/3 + 
       (371*s[38])/3 - (1408*s[39])/3 + 578*s[40] - (2723*s[41])/6 + 
       (2026*s[42])/3 + (6130*s[43])/11 - (22809*s[44])/44 + 
       (49979*s[45])/66 - (341375*s[46])/66 + (2303*s[47])/44 + 
       (44441*s[48])/132 - (295045*s[49])/132 + (259361*s[50])/66 + 
       (200707*s[51])/396 + (50893*s[52])/132 - (283765*s[53])/99 + 
       (8577*s[54])/22 - (7402501*s[55])/396 - (2007389*s[56])/396 + 
       (1002715*s[57])/594 - (26200837*s[58])/3564 + (26683705*s[59])/3564 + 
       (34309325*s[60])/792 - (78705547*s[61])/32076 + 2*s[65] + 8*s[66] - 
       12*s[67] - (20*s[68])/3 - (58*s[69])/3 - 2*s[71] - 4*s[72] + 
       12*s[73] + 3*s[74] - 3*s[75] - 2*s[76] + (10*s[77])/3 - 20*s[78] + 
       72*s[79] - (58*s[80])/3 + 266*s[82] - 6*s[83] + 36*s[84] + 72*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((9*s[2])/2 - (1209*s[3])/8 + (10957*s[4])/16 + (22345*s[5])/176 + 
       (9096*s[6])/11 + (2993217*s[7])/352 - (538421*s[8])/594 - 
       (3083627*s[9])/432 - (929221*s[10])/432 - (30559855*s[11])/3168 - 
       (17535877*s[12])/1584 - (21716671*s[13])/3168 - (8629*s[14])/3168 - 
       (3051905*s[15])/288 - (22621739*s[16])/1584 - (31451947*s[17])/3168 - 
       (1379311*s[18])/1296 - (2104385*s[19])/1296 - (224832521*s[20])/
        14256 - (142867441*s[21])/28512 + (131075687*s[22])/28512 + 
       (16722463*s[23])/1584 + (136064941*s[24])/14256 - 
       (3307278373*s[25])/256608 + (1597713685*s[26])/256608 - 12*s[29] + 
       3*s[30] - 3*s[31] - 9*s[32] - (21*s[33])/4 + 15*s[34] + 3*s[35] - 
       (261*s[36])/4 - (82*s[37])/3 + 386*s[38] - (26279*s[39])/16 + 
       (30747*s[40])/16 - (24039*s[41])/16 + (38887*s[42])/16 + 
       (238553*s[43])/176 - (607163*s[44])/352 + (154043*s[45])/132 - 
       (5940509*s[46])/528 + (157455*s[47])/352 + (123333*s[48])/352 - 
       (2413997*s[49])/352 + (801005*s[50])/88 + (1782727*s[51])/1056 + 
       (443483*s[52])/352 - (9260635*s[53])/1584 - (71735*s[54])/132 - 
       (38420279*s[55])/1056 - (28956991*s[56])/3168 + 
       (15152249*s[57])/1188 - (506968097*s[58])/28512 + 
       (515574995*s[59])/28512 + (598980785*s[60])/6336 - 
       (1117240379*s[61])/256608 - 2*s[64] - (21*s[65])/4 - 14*s[66] + 
       24*s[67] + 6*s[68] + 38*s[69] + (33*s[70])/2 + 3*s[71] + 12*s[72] - 
       48*s[73] - (81*s[74])/4 + (33*s[75])/4 + 6*s[76] - (69*s[77])/2 + 
       11*s[78] + 290*s[79] - (317*s[80])/3 + 285*s[82] - (9*s[83])/2 + 
       99*s[84] + 72*s[85]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((67*s[2])/3 + (383*s[3])/16 + 
       (357271*s[4])/288 + (36921*s[5])/44 + (2294747*s[6])/1056 + 
       (62869099*s[7])/3168 - (16315619*s[8])/9504 - (3607363*s[9])/216 - 
       (543901*s[10])/108 - (138759097*s[11])/6336 - (19135117*s[12])/792 - 
       (30800173*s[13])/2112 - (1441987*s[14])/704 - (2514839*s[15])/96 - 
       (70324685*s[16])/2112 - (159537467*s[17])/6336 - 
       (9100499*s[18])/2592 - (960587*s[19])/324 - (1110379621*s[20])/28512 - 
       (793424993*s[21])/57024 + (595139407*s[22])/57024 + 
       (50134807*s[23])/2112 + (1233801985*s[24])/57024 - 
       (451543975*s[25])/16038 + (3899660305*s[26])/256608 - (7*s[29])/3 + 
       (10*s[30])/3 + (40*s[31])/3 - (5*s[32])/8 + (515*s[33])/48 - 
       (50*s[34])/3 - (77*s[35])/4 - (1451*s[36])/36 + (11425*s[37])/144 + 
       (17423*s[38])/24 - (418085*s[39])/144 + (464209*s[40])/144 - 
       (179455*s[41])/72 + (403513*s[42])/96 + (4104467*s[43])/1584 - 
       (2129645*s[44])/792 + (9054121*s[45])/3168 - (71790277*s[46])/3168 + 
       (4602679*s[47])/4752 + (125590*s[48])/297 - (111116183*s[49])/9504 + 
       (6855455*s[50])/396 + (26810519*s[51])/9504 + (10750955*s[52])/4752 - 
       (28703809*s[53])/2376 + (770449*s[54])/1584 - (181340699*s[55])/2376 - 
       (7117933*s[56])/352 + (6090373*s[57])/297 - (1007215109*s[58])/28512 + 
       (1024782413*s[59])/28512 + (5286445507*s[60])/28512 - 
       (419195009*s[61])/42768 - s[62]/3 - s[65]/4 - s[66] + (17*s[67])/6 + 
       (17*s[68])/3 + (10*s[70])/3 - (7*s[71])/24 + (67*s[72])/6 - 
       (35*s[73])/6 - (301*s[74])/24 + (301*s[75])/24 - (131*s[76])/6 - 
       (5*s[77])/4 + (107*s[78])/6 + (1427*s[79])/6 - (4091*s[80])/72 + 
       228*s[82] + (3*s[83])/4 + (219*s[84])/2 + 72*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*
      (29*s[2] - (137*s[3])/2 + 651*s[4] + (2541*s[5])/4 + 1477*s[6] + 
       (152969*s[7])/12 - (16385*s[8])/18 - (398467*s[9])/36 - 
       (116495*s[10])/36 - (84487*s[11])/6 - (371375*s[12])/24 - 
       (75367*s[13])/8 - (51973*s[14])/24 - (196237*s[15])/12 - 
       (168113*s[16])/8 - (187627*s[17])/12 - (280157*s[18])/108 - 
       (35935*s[19])/27 - (1399573*s[20])/54 - (2098363*s[21])/216 + 
       (1480253*s[22])/216 + (57737*s[23])/4 + (734897*s[24])/54 - 
       (34220125*s[25])/1944 + (19485775*s[26])/1944 + 7*s[28] + 10*s[29] - 
       9*s[30] + 12*s[31] + (87*s[33])/4 - 17*s[34] - 8*s[35] + (7*s[36])/3 + 
       (269*s[37])/6 + 443*s[38] - (6983*s[39])/4 + (24881*s[40])/12 - 
       (6523*s[41])/4 + (7720*s[42])/3 + (18881*s[43])/12 - 
       (20171*s[44])/12 + (19427*s[45])/12 - (39634*s[46])/3 + 
       (10697*s[47])/18 + (14683*s[48])/36 - (241699*s[49])/36 + 
       (29504*s[50])/3 + (16853*s[51])/9 + (27373*s[52])/18 - 
       (236351*s[53])/36 + (2864*s[54])/3 - (168819*s[55])/4 - 
       (147965*s[56])/12 + (65155*s[57])/4 - (595022*s[58])/27 + 
       (1161835*s[59])/54 + (11591471*s[60])/108 - (5567215*s[61])/972 - 
       4*s[63] - 2*s[64] + 4*s[65] + 12*s[66] - 12*s[67] + 22*s[68] - 
       28*s[69] + 40*s[70] - 4*s[71] - 4*s[72] - 4*s[73] - 3*s[74] + s[75] + 
       10*s[76] - 28*s[77] - 24*s[78] + 288*s[79] - (235*s[80])/3 + 
       48*s[82] - 18*s[83] + 132*s[84] + 72*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*
      (41*s[2] - (93*s[3])/2 + (1399*s[4])/2 + (14895*s[5])/22 + 
       (71041*s[6])/44 + (151302*s[7])/11 - (275411*s[8])/297 - 
       (1280299*s[9])/108 - (382739*s[10])/108 - (11991527*s[11])/792 - 
       (13126087*s[12])/792 - (4017469*s[13])/396 - (927403*s[14])/396 - 
       (637787*s[15])/36 - (2252086*s[16])/99 - (13606565*s[17])/792 - 
       (222146*s[18])/81 - (498259*s[19])/324 - (98893075*s[20])/3564 - 
       (36873667*s[21])/3564 + (26182559*s[22])/3564 + (11995675*s[23])/792 + 
       (105395599*s[24])/7128 - (152007322*s[25])/8019 + 
       (343411045*s[26])/32076 + s[28] + 8*s[29] - 3*s[30] + 32*s[31] + 
       2*s[32] + (123*s[33])/4 - 27*s[34] - 38*s[35] + 4*s[36] + 36*s[37] + 
       464*s[38] - 1792*s[39] + 2074*s[40] - (3229*s[41])/2 + 
       (10511*s[42])/4 + (16502*s[43])/11 - (70833*s[44])/44 + 
       (34721*s[45])/22 - (284459*s[46])/22 + (31503*s[47])/44 + 
       (6247*s[48])/44 - (70699*s[49])/11 + (104900*s[50])/11 + 
       (127187*s[51])/66 + (72659*s[52])/44 - (208991*s[53])/33 + 
       (11714*s[54])/11 - (2683991*s[55])/66 - (800531*s[56])/66 + 
       (6990007*s[57])/396 - (26151749*s[58])/1188 + (25223975*s[59])/1188 + 
       (13640635*s[60])/132 - (61231349*s[61])/10692 - s[64] + 4*s[65] + 
       12*s[66] - 14*s[67] + 14*s[68] - 30*s[69] + 14*s[70] - 6*s[71] - 
       8*s[72] + 12*s[73] - 4*s[74] + 4*s[75] - 32*s[76] + 4*s[77] - 
       8*s[78] + 264*s[79] - 50*s[80] - s[81]/6 + 48*s[82] - 18*s[83] + 
       132*s[84] + 72*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v]*((27*s[2])/2 + (389*s[3])/4 + (14439*s[4])/8 + 
       (65683*s[5])/66 + (731611*s[6])/264 + (121702223*s[7])/4752 - 
       (16532459*s[8])/7128 - (1730867*s[9])/81 - (520024*s[10])/81 - 
       (134281337*s[11])/4752 - (18563939*s[12])/594 - (3316321*s[13])/176 - 
       (9514757*s[14])/4752 - (4870975*s[15])/144 - (8522299*s[16])/198 - 
       (154222891*s[17])/4752 - (4417273*s[18])/972 - (7627261*s[19])/1944 - 
       (1061380465*s[20])/21384 - (751035839*s[21])/42768 + 
       (572895643*s[22])/42768 + (714429*s[23])/22 + (295567405*s[24])/
        10692 - (1762417963*s[25])/48114 + (1879201685*s[26])/96228 - 
       4*s[28] - (11*s[29])/3 + 4*s[30] + (5*s[31])/3 + (28*s[32])/3 + 
       (40*s[33])/3 - (20*s[34])/3 + (4*s[35])/3 - (710*s[36])/9 + 
       (599*s[37])/6 + (5663*s[38])/6 - (11648*s[39])/3 + (38732*s[40])/9 - 
       (13499*s[41])/4 + (203551*s[42])/36 + (328051*s[43])/99 - 
       (2804189*s[44])/792 + (239021*s[45])/66 - (2905546*s[46])/99 + 
       (3319993*s[47])/2376 + (407677*s[48])/2376 - (36001291*s[49])/2376 + 
       (8946955*s[50])/396 + (9155423*s[51])/2376 + (7336745*s[52])/2376 - 
       (18636335*s[53])/1188 + (189347*s[54])/396 - (26060819*s[55])/264 - 
       (61499425*s[56])/2376 + (102453899*s[57])/3564 - 
       (988826867*s[58])/21384 + (1006018505*s[59])/21384 + 
       (3399720877*s[60])/14256 - (604641503*s[61])/48114 - (11*s[65])/6 - 
       (13*s[66])/3 + (16*s[67])/3 - (23*s[68])/3 + (37*s[69])/3 - 
       (23*s[70])/3 - s[71]/6 + (64*s[72])/3 - (8*s[73])/3 - 21*s[74] + 
       21*s[75] - (55*s[76])/3 + (22*s[77])/3 + (112*s[78])/3 + 342*s[79] - 
       72*s[80] + 208*s[82] + s[83] + 142*s[84] + 72*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
      (-5*s[2] + 106*s[3] + (6505*s[4])/4 + (25001*s[5])/33 + 
       (304259*s[6])/132 + (26254121*s[7])/1188 - (7377361*s[8])/3564 - 
       (5962463*s[9])/324 - (1780417*s[10])/324 - (58077577*s[11])/2376 - 
       (16167551*s[12])/594 - (13057093*s[13])/792 - (2911855*s[14])/2376 - 
       (1041647*s[15])/36 - (29306567*s[16])/792 - (65238131*s[17])/2376 - 
       (3654787*s[18])/972 - (864200*s[19])/243 - (226597183*s[20])/5346 - 
       (312273001*s[21])/21384 + (247422581*s[22])/21384 + 
       (22292165*s[23])/792 + (512522435*s[24])/21384 - 
       (1539706315*s[25])/48114 + (400829177*s[26])/24057 + 2*s[27] + 
       (10*s[29])/3 + 4*s[30] + (17*s[31])/3 + (5*s[32])/6 + (10*s[33])/3 - 
       (23*s[34])/3 - (14*s[35])/3 - (626*s[36])/9 + (169*s[37])/2 + 
       (2473*s[38])/3 - (39851*s[39])/12 + (133109*s[40])/36 - 
       (11595*s[41])/4 + (173125*s[42])/36 + (1135627*s[43])/396 - 
       (301408*s[44])/99 + (145545*s[45])/44 - (2565229*s[46])/99 + 
       (680635*s[47])/594 + (269333*s[48])/1188 - (3880793*s[49])/297 + 
       (3978731*s[50])/198 + (3957583*s[51])/1188 + (3153697*s[52])/1188 - 
       (16505531*s[53])/1188 + (38591*s[54])/99 - (967742*s[55])/11 - 
       (6839351*s[56])/297 + (21112139*s[57])/891 - (216614309*s[58])/5346 + 
       (109996549*s[59])/2673 + (1512706601*s[60])/7128 - 
       (1073755531*s[61])/96228 + 2*s[64] - s[65]/3 - (7*s[66])/3 - 
       (2*s[67])/3 - (35*s[68])/3 + (19*s[69])/3 - (20*s[70])/3 - 
       (5*s[71])/3 + (40*s[72])/3 + (4*s[73])/3 - 17*s[74] + 17*s[75] - 
       (100*s[76])/3 + (16*s[77])/3 + (40*s[78])/3 + 322*s[79] - 
       (125*s[80])/3 + 208*s[82] + s[83] + 142*s[84] + 72*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*
      ((179*s[2])/6 + (47*s[3])/4 + (34159*s[4])/24 + (146357*s[5])/132 + 
       (705469*s[6])/264 + (114824179*s[7])/4752 - (13755433*s[8])/7128 - 
       (3317621*s[9])/162 - (2042927*s[10])/324 - (126285001*s[11])/4752 - 
       (69164773*s[12])/2376 - (3082787*s[13])/176 - (15262615*s[14])/4752 - 
       (4592143*s[15])/144 - (32114873*s[16])/792 - (147552371*s[17])/4752 - 
       (4372745*s[18])/972 - (6741137*s[19])/1944 - (1027997081*s[20])/
        21384 - (747935773*s[21])/42768 + (544519685*s[22])/42768 + 
       (909071*s[23])/33 + (70649102*s[24])/2673 - (3251472805*s[25])/96228 + 
       (1792265617*s[26])/96228 + 4*s[28] + s[29] + (31*s[31])/3 + s[32]/3 - 
       (29*s[33])/3 - (20*s[34])/3 - (8*s[35])/3 - (392*s[36])/9 + 
       (533*s[37])/6 + (5189*s[38])/6 - (10021*s[39])/3 + (33557*s[40])/9 - 
       (11627*s[41])/4 + (43237*s[42])/9 + (289198*s[43])/99 - 
       (298951*s[44])/99 + (72249*s[45])/22 - (2544133*s[46])/99 + 
       (1407317*s[47])/1188 + (372899*s[48])/1188 - (3863543*s[49])/297 + 
       (7745989*s[50])/396 + (4025809*s[51])/1188 + (1644689*s[52])/594 - 
       (4007990*s[53])/297 + (352919*s[54])/396 - (8473415*s[55])/99 - 
       (6856664*s[56])/297 + (22826069*s[57])/891 - (218465021*s[58])/5346 + 
       (438796705*s[59])/10692 + (746019799*s[60])/3564 - 
       (268791328*s[61])/24057 + (7*s[65])/6 + (5*s[66])/3 - (4*s[67])/3 + 
       (29*s[68])/3 - (25*s[69])/3 + (11*s[70])/3 - (19*s[71])/6 + 
       (16*s[72])/3 - (8*s[73])/3 - (35*s[74])/3 + (35*s[75])/3 - 19*s[76] + 
       (4*s[77])/3 - (4*s[78])/3 + 306*s[79] - 68*s[80] + 164*s[82] + s[83] + 
       150*s[84] + 72*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u]*((170*s[2])/3 - (41*s[3])/6 + (5068*s[4])/3 + 
       (92981*s[5])/66 + (431359*s[6])/132 + (35155105*s[7])/1188 - 
       (2055925*s[8])/891 - (8163767*s[9])/324 - (625738*s[10])/81 - 
       (38655113*s[11])/1188 - (84480701*s[12])/2376 - 
       (50865905*s[13])/2376 - (9710707*s[14])/2376 - (4219025*s[15])/108 - 
       (117976403*s[16])/2376 - (3772478*s[17])/99 - (2695457*s[18])/486 - 
       (4006133*s[19])/972 - (632121071*s[20])/10692 - 
       (463941553*s[21])/21384 + (334384517*s[22])/21384 + 
       (39629063*s[23])/1188 + (343562119*s[24])/10692 - 
       (7927198309*s[25])/192456 + (4401036523*s[26])/192456 - 2*s[27] - 
       6*s[29] + (71*s[31])/3 - (29*s[32])/6 + (169*s[33])/6 - 
       (121*s[34])/3 - (16*s[35])/3 - (557*s[36])/9 + (850*s[37])/9 + 
       (3179*s[38])/3 - (12605*s[39])/3 + (41939*s[40])/9 - (10894*s[41])/3 + 
       (217831*s[42])/36 + (359932*s[43])/99 - (3010913*s[44])/792 + 
       (800423*s[45])/198 - (6336709*s[46])/198 + (3661039*s[47])/2376 + 
       (723775*s[48])/2376 - (38968987*s[49])/2376 + (4829939*s[50])/198 + 
       (9979661*s[51])/2376 + (8126801*s[52])/2376 - (19962463*s[53])/1188 + 
       (79645*s[54])/99 - (84226169*s[55])/792 - (7500025*s[56])/264 + 
       (38023649*s[57])/1188 - (362570317*s[58])/7128 + 
       (364518325*s[59])/7128 + (3714750769*s[60])/14256 - 
       (147683219*s[61])/10692 - 2*s[64] - s[65]/3 - s[66]/3 + (14*s[67])/3 + 
       (35*s[68])/3 + (5*s[69])/3 + (20*s[70])/3 - (5*s[71])/3 + 
       (44*s[72])/3 - 8*s[73] - 18*s[74] + 18*s[75] - (88*s[76])/3 - 
       (46*s[77])/3 + (44*s[78])/3 + (994*s[79])/3 - (520*s[80])/9 + 
       164*s[82] + s[83] + 150*s[84] + 72*s[85]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((2461*s[2])/144 + (7643*s[3])/288 + (404417*s[4])/576 + 
       (1338547*s[5])/3168 + (7767125*s[6])/6336 + (1252427851*s[7])/114048 - 
       (166249913*s[8])/171072 - (71058689*s[9])/7776 - 
       (22292749*s[10])/7776 - (1387760273*s[11])/114048 - 
       (383315635*s[12])/28512 - (927945127*s[13])/114048 - 
       (126849929*s[14])/114048 - (149689085*s[15])/10368 - 
       (529048357*s[16])/28512 - (533575381*s[17])/38016 - 
       (43968013*s[18])/23328 - (82910935*s[19])/46656 - 
       (11001243721*s[20])/513216 - (7757800799*s[21])/1026432 + 
       (5896704355*s[22])/1026432 + (361261733*s[23])/28512 + 
       (1566772907*s[24])/128304 - (72372020719*s[25])/4618944 + 
       (38592541129*s[26])/4618944 - (14*s[29])/3 + (17*s[30])/24 + 
       (31*s[31])/9 - (125*s[32])/36 - (755*s[33])/144 - (397*s[34])/72 - 
       (1081*s[35])/72 - (1679*s[36])/54 + (10643*s[37])/432 + 
       (7199*s[38])/18 - (462275*s[39])/288 + (1545569*s[40])/864 - 
       (411241*s[41])/288 + (2002591*s[42])/864 + (14224999*s[43])/9504 - 
       (29905895*s[44])/19008 + (15751801*s[45])/9504 - 
       (15556747*s[46])/1188 + (27012265*s[47])/57024 + 
       (24451399*s[48])/57024 - (389303083*s[49])/57024 + 
       (48206243*s[50])/4752 + (91120775*s[51])/57024 + 
       (68697785*s[52])/57024 - (199615765*s[53])/28512 + 
       (116599*s[54])/2376 - (845084261*s[55])/19008 - 
       (221852947*s[56])/19008 + (72893845*s[57])/7128 - 
       (1135778119*s[58])/57024 + (1157955605*s[59])/57024 + 
       (36995243491*s[60])/342144 - (8853317915*s[61])/1539648 - 
       (35*s[65])/36 - (35*s[66])/9 + (119*s[67])/18 + (19*s[68])/9 + 
       (118*s[69])/9 + (55*s[70])/9 + (13*s[71])/72 + (295*s[72])/36 - 
       (107*s[73])/12 - (379*s[74])/48 + (379*s[75])/48 - (161*s[76])/36 - 
       (511*s[77])/72 + (577*s[78])/36 + (1825*s[79])/18 - (5653*s[80])/216 + 
       273*s[82] + (35*s[83])/12 + 53*s[84] + (217*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((125*s[2])/9 + (1627*s[3])/72 + (8341*s[4])/18 + (547625*s[5])/1584 + 
       (473281*s[6])/528 + (7298014*s[7])/891 - (13935761*s[8])/21384 - 
       (6710231*s[9])/972 - (8931367*s[10])/3888 - (127375121*s[11])/14256 - 
       (275709377*s[12])/28512 - (164664197*s[13])/28512 - 
       (35726497*s[14])/28512 - (14303387*s[15])/1296 - 
       (397369493*s[16])/28512 - (13059017*s[17])/1188 - 
       (4212463*s[18])/2916 - (15484487*s[19])/11664 - 
       (2119728647*s[20])/128304 - (1520658079*s[21])/256608 + 
       (1102997177*s[22])/256608 + (15090571*s[23])/1782 + 
       (294030097*s[24])/32076 - (6537261439*s[25])/577368 + 
       (7201497341*s[26])/1154736 + (29*s[30])/36 + (41*s[31])/18 - 
       (107*s[32])/36 + (191*s[33])/48 - (175*s[34])/36 - (5*s[35])/3 - 
       (917*s[36])/54 + (947*s[37])/108 + (2170*s[38])/9 - 
       (143371*s[39])/144 + (491257*s[40])/432 - (130397*s[41])/144 + 
       (615047*s[42])/432 + (4596539*s[43])/4752 - (4781393*s[44])/4752 + 
       (5940899*s[45])/4752 - (21764531*s[46])/2376 + (3519529*s[47])/14256 + 
       (4841047*s[48])/14256 - (63035803*s[49])/14256 + 
       (17022073*s[50])/2376 + (7106191*s[51])/7128 + (2728625*s[52])/3564 - 
       (71083421*s[53])/14256 + (84793*s[54])/2376 - (76403747*s[55])/2376 - 
       (39718471*s[56])/4752 + (36350029*s[57])/7128 - 
       (31991375*s[58])/2376 + (195665773*s[59])/14256 + 
       (6556000177*s[60])/85536 - (3198654751*s[61])/769824 - (25*s[68])/18 + 
       (25*s[69])/18 + (8*s[70])/9 - s[71]/2 + 5*s[72] + (2*s[73])/3 - 
       (73*s[74])/18 + (73*s[75])/18 - (32*s[76])/9 - 4*s[77] + 
       (35*s[78])/9 + (290*s[79])/3 - (629*s[80])/27 + (1801*s[82])/6 + 
       42*s[84] + 74*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v]*((2749*s[2])/144 + (4595*s[3])/96 + 
       (212213*s[4])/576 + (460199*s[5])/1584 + (4419191*s[6])/6336 + 
       (785924339*s[7])/114048 - (89612333*s[8])/171072 - 
       (11302745*s[9])/1944 - (16298269*s[10])/7776 - 
       (844459241*s[11])/114048 - (225164527*s[12])/28512 - 
       (171795941*s[13])/38016 - (146814221*s[14])/114048 - 
       (11036669*s[15])/1152 - (113404339*s[16])/9504 - 
       (1108098703*s[17])/114048 - (15575495*s[18])/11664 - 
       (50023813*s[19])/46656 - (7385575849*s[20])/513216 - 
       (5333561987*s[21])/1026432 + (3701457679*s[22])/1026432 + 
       (67670971*s[23])/9504 + (61238192*s[24])/8019 - 
       (42538442539*s[25])/4618944 + (24094896259*s[26])/4618944 - s[28] - 
       (23*s[29])/12 + (25*s[30])/12 + (53*s[31])/18 - (607*s[32])/72 + 
       (2861*s[33])/288 - (125*s[34])/36 - (25*s[35])/72 - (235*s[36])/216 + 
       (1003*s[37])/48 + (4657*s[38])/36 - (95041*s[39])/144 + 
       (327701*s[40])/432 - (9837*s[41])/16 + (26080*s[42])/27 + 
       (2565661*s[43])/4752 - (12199801*s[44])/19008 + (2676895*s[45])/3168 - 
       (59309729*s[46])/9504 + (13738655*s[47])/57024 + 
       (3198851*s[48])/57024 - (152433269*s[49])/57024 + 
       (23484811*s[50])/4752 + (39806311*s[51])/57024 + 
       (29915341*s[52])/57024 - (48903095*s[53])/14256 + 
       (605435*s[54])/4752 - (419586137*s[55])/19008 - 
       (334536251*s[56])/57024 + (340722211*s[57])/85536 - 
       (4804480963*s[58])/513216 + (4791577573*s[59])/513216 + 
       (17620198121*s[60])/342144 - (13631379337*s[61])/4618944 + 
       (5*s[63])/2 - s[64]/8 + s[65]/72 + (37*s[66])/18 - (31*s[67])/36 - 
       (103*s[68])/36 - (83*s[69])/18 - (379*s[70])/36 + (89*s[71])/72 + 
       (211*s[72])/36 - (155*s[73])/36 - (617*s[74])/144 + (545*s[75])/144 - 
       (53*s[76])/6 - (37*s[77])/72 + (155*s[78])/36 + (353*s[79])/3 - 
       (3601*s[80])/72 + (705*s[82])/2 + s[83]/3 + (67*s[84])/2 + 
       (227*s[85])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*(9*s[2] + 95*s[3] + (114947*s[4])/72 + 
       (16301*s[5])/16 + (21553*s[6])/8 + (21268807*s[7])/864 - 
       (1794523*s[8])/864 - (17886385*s[9])/864 - (5527793*s[10])/864 - 
       (15614561*s[11])/576 - (2860075*s[12])/96 - (30856231*s[13])/1728 - 
       (1544125*s[14])/576 - (28124831*s[15])/864 - (71736097*s[16])/1728 - 
       (54705647*s[17])/1728 - (1297733*s[18])/288 - (1589797*s[19])/432 - 
       (1556557*s[20])/32 - (90348443*s[21])/5184 + (67002509*s[22])/5184 + 
       (51157667*s[23])/1728 + (138605951*s[24])/5184 - 
       (202489321*s[25])/5832 + (439855279*s[26])/23328 - s[29]/6 + 
       (14*s[30])/3 + (19*s[31])/3 - s[32]/4 + (11*s[33])/6 - (37*s[34])/6 - 
       (29*s[35])/12 - (3301*s[36])/72 + (6107*s[37])/72 + (18725*s[38])/24 - 
       (930959*s[39])/288 + (347801*s[40])/96 - (819965*s[41])/288 + 
       (1355893*s[42])/288 + (2923387*s[43])/1056 - (2370143*s[44])/792 + 
       (825313*s[45])/264 - (79035967*s[46])/3168 + (3614869*s[47])/3168 + 
       (401387*s[48])/1584 - (2241117*s[49])/176 + (10160683*s[50])/528 + 
       (30570479*s[51])/9504 + (907169*s[52])/352 - (41983859*s[53])/3168 + 
       (616417*s[54])/1584 - (795310045*s[55])/9504 - (2909017*s[56])/132 + 
       (4294935*s[57])/176 - (41534461*s[58])/1056 + (3936544*s[59])/99 + 
       (241972759*s[60])/1188 - (613488155*s[61])/57024 - s[65]/12 - 
       s[66]/3 + s[67]/3 + s[68] - s[69]/3 - (5*s[70])/2 - (17*s[71])/12 + 
       13*s[72] - (47*s[73])/12 - (44*s[74])/3 + (175*s[75])/12 - 
       (35*s[76])/2 - (5*s[77])/2 + (205*s[78])/12 + (997*s[79])/3 - 
       (1403*s[80])/18 + 292*s[82] + s[83]/4 + (255*s[84])/2 + 78*s[85]) + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((487*s[2])/36 + (1615*s[3])/48 + (303823*s[4])/288 + 
       (153235*s[5])/198 + (6196585*s[6])/3168 + (497393537*s[7])/28512 - 
       (62781731*s[8])/42768 - (114426431*s[9])/7776 - 
       (35137459*s[10])/7776 - (546913085*s[11])/28512 - 
       (600649255*s[12])/28512 - (59930545*s[13])/4752 - 
       (31134007*s[14])/14256 - (6639437*s[15])/288 - 
       (279281587*s[16])/9504 - (639810271*s[17])/28512 - 
       (76760095*s[18])/23328 - (56791277*s[19])/23328 - 
       (4449181021*s[20])/128304 - (3227081009*s[21])/256608 + 
       (1176916529*s[22])/128304 + (49343659*s[23])/2376 + 
       (4843440919*s[24])/256608 - (14113003907*s[25])/577368 + 
       (31035727133*s[26])/2309472 - (3*s[29])/2 + (35*s[30])/12 + 
       (37*s[31])/9 + (17*s[32])/72 + (143*s[33])/72 - (143*s[34])/36 - 
       (173*s[35])/36 - (3611*s[36])/108 + (9113*s[37])/144 + 
       (43457*s[38])/72 - (357847*s[39])/144 + (1201121*s[40])/432 - 
       (4357*s[41])/2 + (3130115*s[42])/864 + (10192219*s[43])/4752 - 
       (43683109*s[44])/19008 + (7484429*s[45])/3168 - 
       (181011455*s[46])/9504 + (50063579*s[47])/57024 + 
       (13501031*s[48])/57024 - (554371151*s[49])/57024 + 
       (34583597*s[50])/2376 + (143058661*s[51])/57024 + 
       (113733721*s[52])/57024 - (287725765*s[53])/28512 + 
       (661985*s[54])/1188 - (1207227251*s[55])/19008 - 
       (968986493*s[56])/57024 + (815683793*s[57])/42768 - 
       (15491094613*s[58])/513216 + (15607394377*s[59])/513216 + 
       (52926385751*s[60])/342144 - (19083627467*s[61])/2309472 - s[65]/9 - 
       (4*s[66])/9 + (31*s[67])/18 + (14*s[68])/9 - s[69]/9 + (2*s[70])/9 + 
       (11*s[71])/72 + (179*s[72])/18 + (71*s[73])/18 - (751*s[74])/72 + 
       (751*s[75])/72 - (23*s[76])/2 - (89*s[77])/36 + (86*s[78])/9 + 
       (1345*s[79])/6 - (4631*s[80])/72 + 303*s[82] + s[83]/3 + 92*s[84] + 
       (236*s[85])/3) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u]*((-137*s[2])/16 + (4817*s[3])/96 + 
       (100259*s[4])/192 + (222595*s[5])/528 + (2232125*s[6])/2112 + 
       (352378601*s[7])/38016 - (13230551*s[8])/19008 - (3360973*s[9])/432 - 
       (1167671*s[10])/432 - (127683385*s[11])/12672 - 
       (34245307*s[12])/3168 - (243814573*s[13])/38016 - 
       (21946861*s[14])/12672 - (43974899*s[15])/3456 - 
       (38047525*s[16])/2376 - (489321185*s[17])/38016 - 
       (4295573*s[18])/2592 - (8071577*s[19])/5184 - (1085779163*s[20])/
        57024 - (264704441*s[21])/38016 + (551636875*s[22])/114048 + 
       (42887023*s[23])/4752 + (75410989*s[24])/7128 - 
       (39978391*s[25])/3168 + (33914173*s[26])/4752 - s[27]/4 - 
       (23*s[29])/6 + (43*s[30])/24 - (40*s[31])/3 - (7*s[32])/8 - 
       (89*s[33])/6 + (455*s[34])/24 + (115*s[35])/24 - (83*s[36])/4 - 
       (1141*s[37])/72 + (2069*s[38])/8 - (93919*s[39])/96 + 
       (107455*s[40])/96 - (87779*s[41])/96 + (133753*s[42])/96 + 
       (355395*s[43])/352 - (1076179*s[44])/1056 + (1046075*s[45])/792 - 
       (29863469*s[46])/3168 + (639121*s[47])/3168 + (741647*s[48])/1584 - 
       (14315617*s[49])/3168 + (3862693*s[50])/528 + (200021*s[51])/198 + 
       (1207351*s[52])/1584 - (24383363*s[53])/4752 - (2251*s[54])/99 - 
       (5844813*s[55])/176 - (83077985*s[56])/9504 + (140116121*s[57])/
        28512 - (1184872939*s[58])/85536 + (302094913*s[59])/21384 + 
       (1498148657*s[60])/19008 - (6705390797*s[61])/1539648 - (5*s[65])/6 - 
       (10*s[66])/3 + (11*s[67])/2 + 2*s[68] + 11*s[69] + (5*s[70])/2 - 
       (37*s[71])/12 + (53*s[72])/12 - (55*s[73])/12 - (199*s[74])/48 + 
       (199*s[75])/48 + (125*s[76])/12 - (85*s[77])/24 - (11*s[78])/12 + 
       72*s[79] - (391*s[80])/36 + 348*s[82] + (5*s[83])/2 + (71*s[84])/2 + 
       79*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - w]*(-2*s[1] + (46*s[2])/3 + (67*s[3])/2 + 
       (4493*s[4])/3 + (137537*s[5])/132 + (86291*s[6])/33 + 
       (28437061*s[7])/1188 - (7186145*s[8])/3564 - (1634476*s[9])/81 - 
       (986311*s[10])/162 - (62836715*s[11])/2376 - (69362527*s[12])/2376 - 
       (2326297*s[13])/132 - (2978599*s[14])/1188 - (1126753*s[15])/36 - 
       (15854365*s[16])/396 - (71651755*s[17])/2376 - (4225229*s[18])/972 - 
       (3446287*s[19])/972 - (501798133*s[20])/10692 - 
       (45072943*s[21])/2673 + (134611865*s[22])/10692 + 
       (7509635*s[23])/264 + (556136671*s[24])/21384 - 
       (6530424233*s[25])/192456 + (3536651939*s[26])/192456 - 2*s[29] + 
       3*s[30] + (16*s[31])/3 - (26*s[32])/3 - (107*s[33])/12 - 
       (23*s[34])/3 - (44*s[35])/3 - (518*s[36])/9 + (171*s[37])/2 + 
       (2743*s[38])/3 - (10591*s[39])/3 + (35231*s[40])/9 - 3042*s[41] + 
       (182119*s[42])/36 + (304165*s[43])/99 - (317869*s[44])/99 + 
       (460001*s[45])/132 - (10786189*s[46])/396 + (1463423*s[47])/1188 + 
       (426035*s[48])/1188 - (4130600*s[49])/297 + (4122695*s[50])/198 + 
       (1049020*s[51])/297 + (851923*s[52])/297 - (17074865*s[53])/1188 + 
       (119995*s[54])/198 - (18022933*s[55])/198 - (7181147*s[56])/297 + 
       (93045539*s[57])/3564 - (229641299*s[58])/5346 + 
       (462801661*s[59])/10692 + (1583630573*s[60])/7128 - 
       (2278188617*s[61])/192456 - s[65]/3 - (4*s[66])/3 + (8*s[67])/3 + 
       (8*s[68])/3 + (8*s[69])/3 + (8*s[70])/3 - (5*s[71])/3 + (28*s[72])/3 + 
       (16*s[73])/3 - (44*s[74])/3 + (44*s[75])/3 - 12*s[76] + (28*s[77])/3 + 
       (26*s[78])/3 + 272*s[79] - (185*s[80])/3 + 240*s[82] + s[83] + 
       138*s[84] + 80*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w]*((74*s[2])/3 + (13*s[3])/6 + (4531*s[4])/3 + 
       (147721*s[5])/132 + (91672*s[6])/33 + (30075619*s[7])/1188 - 
       (1872358*s[8])/891 - (6942569*s[9])/324 - (2099641*s[10])/324 - 
       (33176681*s[11])/1188 - (73013453*s[12])/2376 - 
       (44027609*s[13])/2376 - (6857749*s[14])/2376 - (3593033*s[15])/108 - 
       (100859855*s[16])/2376 - (3178700*s[17])/99 - (4522807*s[18])/972 - 
       (1755487*s[19])/486 - (133554890*s[20])/2673 - 
       (387031591*s[21])/21384 + (285487205*s[22])/21384 + 
       (17778769*s[23])/594 + (293377585*s[24])/10692 - 
       (6865519327*s[25])/192456 + (3753990601*s[26])/192456 - 2*s[29] + 
       3*s[30] + (32*s[31])/3 - (10*s[32])/3 + (53*s[33])/12 - (55*s[34])/3 - 
       (16*s[35])/3 - (566*s[36])/9 + (1691*s[37])/18 + (2819*s[38])/3 - 
       (11204*s[39])/3 + (37286*s[40])/9 - (9703*s[41])/3 + 
       (193819*s[42])/36 + (324814*s[43])/99 - (2702141*s[44])/792 + 
       (1432087*s[45])/396 - (11362037*s[46])/396 + (3101509*s[47])/2376 + 
       (801013*s[48])/2376 - (35172589*s[49])/2376 + (4339205*s[50])/198 + 
       (8798267*s[51])/2376 + (7132373*s[52])/2376 - (4508983*s[53])/297 + 
       (55129*s[54])/99 - (76037519*s[55])/792 - (6701747*s[56])/264 + 
       (32796491*s[57])/1188 - (322045465*s[58])/7128 + 
       (326219083*s[59])/7128 + (3333314173*s[60])/14256 - 
       (88078339*s[61])/7128 - s[65]/3 - (4*s[66])/3 + (8*s[67])/3 + 
       (20*s[68])/3 - (4*s[69])/3 + (8*s[70])/3 - (5*s[71])/3 + 
       (44*s[72])/3 - 8*s[73] - 16*s[74] + 16*s[75] - (52*s[76])/3 + 
       (32*s[77])/3 + (74*s[78])/3 + (904*s[79])/3 - (511*s[80])/9 + 
       240*s[82] + s[83] + 138*s[84] + 80*s[85]) + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      (9*s[2] + (1901*s[3])/48 + (19161*s[4])/32 + (75299*s[5])/176 + 
       (404537*s[6])/352 + (23486887*s[7])/2376 - (724312*s[8])/891 - 
       (21535153*s[9])/2592 - (6855905*s[10])/2592 - (12885965*s[11])/1188 - 
       (112641725*s[12])/9504 - (7457959*s[13])/1056 - 
       (13514395*s[14])/9504 - (156991*s[15])/12 - (53096125*s[16])/3168 - 
       (123149903*s[17])/9504 - (461518*s[18])/243 - (1355285*s[19])/972 - 
       (424066507*s[20])/21384 - (616169989*s[21])/85536 + 
       (443248901*s[22])/85536 + (5983655*s[23])/528 + 
       (461103679*s[24])/42768 - (10582873783*s[25])/769824 + 
       (5860845385*s[26])/769824 + (7*s[30])/6 + (7*s[31])/3 - 
       (19*s[32])/24 - s[33]/3 + (11*s[34])/3 + (4*s[35])/9 - 
       (1151*s[36])/72 + (949*s[37])/36 + (6893*s[38])/24 - 
       (364589*s[39])/288 + (416521*s[40])/288 - (331297*s[41])/288 + 
       (532133*s[42])/288 + (3588899*s[43])/3168 - (3892067*s[44])/3168 + 
       (743395*s[45])/528 - (34138339*s[46])/3168 + (3891839*s[47])/9504 + 
       (609737*s[48])/2376 - (24624565*s[49])/4752 + (6560447*s[50])/792 + 
       (12198661*s[51])/9504 + (2412349*s[52])/2376 - (54536081*s[53])/9504 + 
       (472157*s[54])/1584 - (19296301*s[55])/528 - (2953975*s[56])/297 + 
       (262794407*s[57])/28512 - (1430511385*s[58])/85536 + 
       (1429765015*s[59])/85536 + (2514581791*s[60])/28512 - 
       (943817923*s[61])/192456 + (5*s[68])/6 - (5*s[69])/6 + (5*s[71])/8 + 
       (14*s[72])/3 - (40*s[74])/9 + (40*s[75])/9 - (56*s[76])/9 - 
       (13*s[77])/18 + (14*s[78])/3 + (805*s[79])/6 - (877*s[80])/18 + 
       (1162*s[82])/3 + 56*s[84] + (242*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      (5*s[2] + (359*s[3])/4 + (7573*s[4])/8 + (13723*s[5])/44 + 
       (112955*s[6])/88 + (5892257*s[7])/528 - (2836589*s[8])/2376 - 
       (245972*s[9])/27 - (131405*s[10])/54 - (19697765*s[11])/1584 - 
       (11213795*s[12])/792 - (13539905*s[13])/1584 - (323327*s[14])/1584 - 
       (2043637*s[15])/144 - (14656303*s[16])/792 - (20771099*s[17])/1584 - 
       (339431*s[18])/162 - (930721*s[19])/648 - (149764651*s[20])/7128 - 
       (102019517*s[21])/14256 + (82725001*s[22])/14256 + 
       (1659340*s[23])/99 + (20461901*s[24])/1782 - (529290833*s[25])/32076 + 
       (271632281*s[26])/32076 + (11*s[28])/2 - 3*s[29] + 21*s[30] + 
       5*s[31] + (9*s[32])/2 + (99*s[33])/4 - 9*s[34] - 10*s[35] - 
       (131*s[36])/6 + (293*s[37])/12 + 326*s[38] - (12187*s[39])/8 + 
       (42029*s[40])/24 - (11251*s[41])/8 + (55117*s[42])/24 + 
       (343927*s[43])/264 - (766679*s[44])/528 + (424483*s[45])/264 - 
       (1654063*s[46])/132 + (914113*s[47])/1584 + (277807*s[48])/1584 - 
       (9206203*s[49])/1584 + (627127*s[50])/66 + (2614631*s[51])/1584 + 
       (2003345*s[52])/1584 - (5298415*s[53])/792 + (73499*s[54])/132 - 
       (22395157*s[55])/528 - (6328279*s[56])/528 + (4920647*s[57])/396 - 
       (31546085*s[58])/1584 + (3502221*s[59])/176 + (950141083*s[60])/9504 - 
       (62125919*s[61])/10692 - 4*s[63] + (5*s[64])/2 + 2*s[65] - 2*s[66] + 
       20*s[68] + 8*s[69] + 36*s[70] - (11*s[71])/2 + 8*s[72] + 3*s[73] - 
       (21*s[74])/2 + (27*s[75])/2 - 2*s[76] - 43*s[77] + 13*s[78] + 
       144*s[79] - (49*s[80])/6 + 174*s[82] + 6*s[83] + 54*s[84] + 
       84*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u]*((11*s[2])/2 + (645*s[3])/4 + (8047*s[4])/8 + 
       (15151*s[5])/44 + (132353*s[6])/88 + (2079443*s[7])/176 - 
       (1030175*s[8])/792 - (343091*s[9])/36 - (47123*s[10])/18 - 
       (6934049*s[11])/528 - (3918575*s[12])/264 - (4774853*s[13])/528 - 
       (142787*s[14])/528 - (240953*s[15])/16 - (648920*s[16])/33 - 
       (7512827*s[17])/528 - (61915*s[18])/27 - (313507*s[19])/216 - 
       (52150117*s[20])/2376 - (35829029*s[21])/4752 + 
       (28748713*s[22])/4752 + (4749737*s[23])/264 + (28496399*s[24])/2376 - 
       (372689791*s[25])/21384 + (192032341*s[26])/21384 - s[28]/2 - 
       5*s[29] + 9*s[30] + 19*s[31] + 6*s[32] + (49*s[33])/2 - 17*s[34] - 
       47*s[35] - 34*s[36] + (413*s[37])/12 + 372*s[38] - (7237*s[39])/4 + 
       (7897*s[40])/4 - (6199*s[41])/4 + (10889*s[42])/4 + (61331*s[43])/44 - 
       (34239*s[44])/22 + (431443*s[45])/264 - (3539263*s[46])/264 + 
       (38513*s[47])/44 - (4663*s[48])/22 - (273741*s[49])/44 + 
       (436371*s[50])/44 + (63025*s[51])/33 + (65497*s[52])/44 - 
       (5616251*s[53])/792 + (59951*s[54])/66 - (2909441*s[55])/66 - 
       (1282406*s[56])/99 + (19810889*s[57])/1188 - (158522081*s[58])/7128 + 
       (78495793*s[59])/3564 + (164179109*s[60])/1584 - 
       (808992079*s[61])/128304 + (3*s[64])/2 - s[65]/2 - 6*s[66] + 6*s[67] + 
       14*s[68] + 14*s[69] + 9*s[70] - 2*s[71] + 16*s[72] + 6*s[73] - 
       (25*s[74])/2 + (31*s[75])/2 - 36*s[76] - 20*s[77] + 54*s[78] + 
       96*s[79] + (23*s[80])/6 - s[81]/6 + 174*s[82] + 6*s[83] + 54*s[84] + 
       84*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Omega2[w, u, v]*
      (11*s[2] + (151*s[3])/4 + (22747*s[4])/24 + (14847*s[5])/22 + 
       (151771*s[6])/88 + (24597461*s[7])/1584 - (2988659*s[8])/2376 - 
       (1416245*s[9])/108 - (443605*s[10])/108 - (27024053*s[11])/1584 - 
       (1845796*s[12])/99 - (5913481*s[13])/528 - (3088565*s[14])/1584 - 
       (988453*s[15])/48 - (2304699*s[16])/88 - (31937359*s[17])/1584 - 
       (927277*s[18])/324 - (1482643*s[19])/648 - (220113121*s[20])/7128 - 
       (159538571*s[21])/14256 + (116413147*s[22])/14256 + 
       (4753453*s[23])/264 + (120544685*s[24])/7128 - 
       (348195697*s[25])/16038 + (191364235*s[26])/16038 + 2*s[30] + 
       4*s[31] - s[32] + 2*s[33] - 6*s[34] - 3*s[35] - 36*s[36] + 
       (215*s[37])/6 + 539*s[38] - (26189*s[39])/12 + (29441*s[40])/12 - 
       (23309*s[41])/12 + (9425*s[42])/3 + (260677*s[43])/132 - 
       (181683*s[44])/88 + (75734*s[45])/33 - (2344873*s[46])/132 + 
       (523213*s[47])/792 + (310627*s[48])/792 - (7097953*s[49])/792 + 
       (905387*s[50])/66 + (565423*s[51])/264 + (1367099*s[52])/792 - 
       (1253809*s[53])/132 + (13819*s[54])/66 - (47756543*s[55])/792 - 
       (12526643*s[56])/792 + (17776459*s[57])/1188 - 
       (195306769*s[58])/7128 + (198144343*s[59])/7128 + 
       (693730399*s[60])/4752 - (497647075*s[61])/64152 - 2*s[68] + 2*s[69] - 
       2*s[71] + 8*s[72] - (19*s[74])/2 + (19*s[75])/2 - 12*s[76] - 4*s[77] + 
       8*s[78] + 200*s[79] - (115*s[80])/3 + 231*s[82] + 96*s[84] + 
       84*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v]*((115*s[2])/6 + (1085*s[3])/12 + 
       (53723*s[4])/24 + (138283*s[5])/132 + (863297*s[6])/264 + 
       (143524279*s[7])/4752 - (20677799*s[8])/7128 - (8130209*s[9])/324 - 
       (594154*s[10])/81 - (160069631*s[11])/4752 - (89878697*s[12])/2376 - 
       (108708235*s[13])/4752 - (7687289*s[14])/4752 - (16855865*s[15])/432 - 
       (30040661*s[16])/594 - (19496549*s[17])/528 - (5181607*s[18])/972 - 
       (8882275*s[19])/1944 - (1238053147*s[20])/21384 - 
       (865939439*s[21])/42768 + (677704231*s[22])/42768 + 
       (94798087*s[23])/2376 + (693584981*s[24])/21384 - 
       (4228794557*s[25])/96228 + (2221425953*s[26])/96228 - 4*s[28] - 
       17*s[29] + 12*s[30] - (7*s[31])/3 - (10*s[32])/3 + (61*s[33])/6 - 
       (28*s[34])/3 - (46*s[35])/3 - (998*s[36])/9 + (1685*s[37])/18 + 
       (7123*s[38])/6 - (14591*s[39])/3 + (48419*s[40])/9 - 
       (50491*s[41])/12 + (63703*s[42])/9 + (400936*s[43])/99 - 
       (3519845*s[44])/792 + (835085*s[45])/198 - (3506468*s[46])/99 + 
       (4230829*s[47])/2376 + (581953*s[48])/2376 - (44682709*s[49])/2376 + 
       (10743379*s[50])/396 + (11394353*s[51])/2376 + (9178793*s[52])/2376 - 
       (22111891*s[53])/1188 + (194959*s[54])/396 - (92484839*s[55])/792 - 
       (24573361*s[56])/792 + (23128385*s[57])/594 - (135422255*s[58])/2376 + 
       (45609947*s[59])/792 + (4092848671*s[60])/14256 - 
       (240951581*s[61])/16038 - (23*s[65])/6 - (37*s[66])/3 + (68*s[67])/3 + 
       (5*s[68])/3 + (113*s[69])/3 - (7*s[70])/3 + (11*s[71])/6 + 
       (92*s[72])/3 - 28*s[73] - 30*s[74] + 30*s[75] - (55*s[76])/3 - 
       (28*s[77])/3 + (164*s[78])/3 + (1186*s[79])/3 - (868*s[80])/9 + 
       268*s[82] + 7*s[83] + 162*s[84] + 88*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-47*s[2])/3 + 103*s[3] + (24797*s[4])/12 + (111305*s[5])/132 + 
       (377063*s[6])/132 + (63409019*s[7])/2376 - (9361001*s[8])/3564 - 
       (7156045*s[9])/324 - (1036057*s[10])/162 - (35472109*s[11])/1188 - 
       (80126395*s[12])/2376 - (1798749*s[13])/88 - (2361299*s[14])/2376 - 
       (2456537*s[15])/72 - (17612101*s[16])/396 - (37983017*s[17])/1188 - 
       (4484147*s[18])/972 - (4035997*s[19])/972 - (542350093*s[20])/10692 - 
       (371295197*s[21])/21384 + (299012455*s[22])/21384 + 
       (9415339*s[23])/264 + (613854349*s[24])/21384 - 
       (3779041897*s[25])/96228 + (487598326*s[26])/24057 + 2*s[27] - 
       10*s[29] + 12*s[30] - (11*s[31])/3 - (19*s[32])/6 - (47*s[33])/3 + 
       s[34]/3 - (62*s[35])/3 - (932*s[36])/9 + (677*s[37])/6 + 
       (3229*s[38])/3 - (51475*s[39])/12 + (171245*s[40])/36 - 
       (14809*s[41])/4 + (111395*s[42])/18 + (1445035*s[43])/396 - 
       (3139211*s[44])/792 + (171527*s[45])/44 - (6331823*s[46])/198 + 
       (3514573*s[47])/2376 + (978259*s[48])/2376 - (39954793*s[49])/2376 + 
       (4846367*s[50])/198 + (10082441*s[51])/2376 + (8116685*s[52])/2376 - 
       (9971059*s[53])/594 + (88435*s[54])/198 - (83673307*s[55])/792 - 
       (66686251*s[56])/2376 + (119611211*s[57])/3564 - 
       (1092206573*s[58])/21384 + (1101699161*s[59])/21384 + 
       (3709665793*s[60])/14256 - (654543011*s[61])/48114 + 2*s[64] - 
       (7*s[65])/3 - (31*s[66])/3 + (50*s[67])/3 + (5*s[68])/3 + 
       (83*s[69])/3 - (4*s[70])/3 + s[71]/3 + (64*s[72])/3 - (68*s[73])/3 - 
       (77*s[74])/3 + (77*s[75])/3 - 20*s[76] + (4*s[77])/3 + (104*s[78])/3 + 
       362*s[79] - 77*s[80] + 268*s[82] + 7*s[83] + 162*s[84] + 88*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((29*s[2])/2 - (773*s[3])/24 + (25003*s[4])/48 + (1096*s[5])/33 + 
       (289523*s[6])/528 + (22949995*s[7])/4752 - (3050077*s[8])/7128 - 
       (5297431*s[9])/1296 - (1155317*s[10])/1296 - (13197959*s[11])/2376 - 
       (3855937*s[12])/594 - (3380431*s[13])/792 + (261145*s[14])/594 - 
       (800129*s[15])/144 - (1318089*s[16])/176 - (21543761*s[17])/4752 - 
       (1546093*s[18])/1944 - (1044713*s[19])/1944 - (178279577*s[20])/
        21384 - (7030891*s[21])/2673 + (55958923*s[22])/21384 + 
       (12741133*s[23])/1584 + (204489203*s[24])/42768 - 
       (2924448349*s[25])/384912 + (1382715553*s[26])/384912 + 19*s[29] + 
       (4*s[30])/3 + 18*s[31] + (31*s[32])/4 + (287*s[33])/12 - 
       (70*s[34])/3 + (218*s[35])/9 + (23*s[36])/2 + (31*s[37])/12 + 
       (914*s[38])/3 - (39467*s[39])/36 + (46841*s[40])/36 - 
       (77867*s[41])/72 + (114281*s[42])/72 + (414223*s[43])/396 - 
       (3367403*s[44])/3168 + (415091*s[45])/396 - (1721011*s[46])/198 + 
       (921551*s[47])/3168 + (1224755*s[48])/3168 - (14146507*s[49])/3168 + 
       (1330853*s[50])/198 + (1270487*s[51])/1056 + (2926721*s[52])/3168 - 
       (20807155*s[53])/4752 + (50561*s[54])/264 - (89419343*s[55])/3168 - 
       (74656303*s[56])/9504 + (125204999*s[57])/14256 - 
       (1179995807*s[58])/85536 + (1161999173*s[59])/85536 + 
       (1375926037*s[60])/19008 - (2770138337*s[61])/769824 + (11*s[62])/3 + 
       (7*s[65])/3 + (16*s[66])/3 - 10*s[67] - (19*s[68])/3 - (49*s[69])/3 + 
       (73*s[70])/3 - (25*s[71])/4 - (4*s[72])/3 + (15*s[73])/2 - 
       (37*s[74])/18 + (31*s[75])/18 - (154*s[76])/9 - (187*s[77])/9 - 
       (151*s[78])/6 + (742*s[79])/3 - 40*s[80] - s[81]/6 - (133*s[82])/3 - 
       (55*s[83])/4 + (221*s[84])/2 + (268*s[85])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((53*s[2])/144 + (2795*s[3])/96 + (361583*s[4])/576 + 
       (613753*s[5])/1584 + (6172885*s[6])/6336 + (1090700191*s[7])/114048 - 
       (118701355*s[8])/171072 - (63181099*s[9])/7776 - 
       (20429927*s[10])/7776 - (1204695097*s[11])/114048 - 
       (329195015*s[12])/28512 - (9754455*s[13])/1408 - 
       (123927877*s[14])/114048 - (43737127*s[15])/3456 - 
       (153688069*s[16])/9504 - (1405797011*s[17])/114048 - 
       (20026933*s[18])/11664 - (73619003*s[19])/46656 - 
       (9801066635*s[20])/513216 - (7001818279*s[21])/1026432 + 
       (5194240715*s[22])/1026432 + (33727817*s[23])/3168 + 
       (85083478*s[24])/8019 - (31027619233*s[25])/2309472 + 
       (16820916841*s[26])/2309472 + (5*s[29])/3 + (41*s[30])/24 - 
       (25*s[31])/9 + (38*s[32])/9 + (599*s[33])/144 - (173*s[34])/72 - 
       (77*s[35])/24 - (2155*s[36])/108 - (269*s[37])/12 + (28771*s[38])/72 - 
       (403937*s[39])/288 + (1372715*s[40])/864 - (126643*s[41])/96 + 
       (209105*s[42])/108 + (13090669*s[43])/9504 - (26594687*s[44])/19008 + 
       (835991*s[45])/528 - (114103765*s[46])/9504 + (16185385*s[47])/57024 + 
       (29723899*s[48])/57024 - (362688853*s[49])/57024 + 
       (45259091*s[50])/4752 + (79969577*s[51])/57024 + 
       (61975061*s[52])/57024 - (22922083*s[53])/3564 - 
       (2216351*s[54])/4752 - (260560037*s[55])/6336 - 
       (573844243*s[56])/57024 + (649838579*s[57])/85536 - 
       (9075821201*s[58])/513216 + (9292624541*s[59])/513216 + 
       (34779850543*s[60])/342144 - (11700741109*s[61])/2309472 + 
       (5*s[65])/18 + (10*s[66])/9 - (20*s[67])/9 - (62*s[68])/9 + 
       (53*s[69])/18 + (58*s[70])/9 - (43*s[71])/9 + (131*s[72])/36 - 
       (13*s[73])/36 - (737*s[74])/144 + (773*s[75])/144 - (35*s[76])/36 - 
       (305*s[77])/24 - (17*s[78])/36 + (253*s[79])/2 - (11*s[80])/4 + 
       (469*s[82])/3 - (23*s[83])/6 + (111*s[84])/2 + 93*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      (-s[1]/3 + (11*s[2])/3 + (1096*s[3])/9 + (40757*s[4])/36 + 
       (218215*s[5])/396 + (294347*s[6])/176 + (24559607*s[7])/1584 - 
       (6956767*s[8])/4752 - (5541353*s[9])/432 - (207293*s[10])/54 - 
       (54789289*s[11])/3168 - (61245601*s[12])/3168 - (1552687*s[13])/132 - 
       (1247797*s[14])/1584 - (2921159*s[15])/144 - (3443243*s[16])/132 - 
       (61119293*s[17])/3168 - (3284731*s[18])/1296 - (3493253*s[19])/1296 - 
       (422064881*s[20])/14256 - (36148727*s[21])/3564 + 
       (57627839*s[22])/7128 + (62265937*s[23])/3168 + 
       (487156145*s[24])/28512 - (5829725593*s[25])/256608 + 
       (3011526919*s[26])/256608 - (20*s[29])/3 + (17*s[30])/3 - 
       (2*s[31])/3 + (16*s[32])/9 - (23*s[33])/12 - (19*s[34])/3 - 
       (46*s[35])/3 - (452*s[36])/9 + 45*s[37] + (22903*s[38])/36 - 
       (176959*s[39])/72 + (196583*s[40])/72 - (50257*s[41])/24 + 
       (125849*s[42])/36 + (192933*s[43])/88 - (1240339*s[44])/528 + 
       (1912615*s[45])/792 - (7516345*s[46])/396 + (3549805*s[47])/4752 + 
       (2192713*s[48])/4752 - (48474499*s[49])/4752 + (5829211*s[50])/396 + 
       (11436515*s[51])/4752 + (8764523*s[52])/4752 - (2682673*s[53])/264 - 
       (46979*s[54])/396 - (304568333*s[55])/4752 - (77345123*s[56])/4752 + 
       (115497919*s[57])/7128 - (1248103225*s[58])/42768 + 
       (1277765299*s[59])/42768 + (4472242789*s[60])/28512 - 
       (1559704781*s[61])/192456 - (5*s[65])/3 - (20*s[66])/3 + 10*s[67] - 
       (28*s[68])/9 + (172*s[69])/9 + (10*s[70])/3 + (2*s[71])/3 + 
       (40*s[72])/3 - 4*s[73] - (38*s[74])/3 + (38*s[75])/3 - 8*s[76] - 
       (100*s[77])/9 + (70*s[78])/3 + (436*s[79])/3 - (94*s[80])/3 + 
       (2009*s[82])/6 + 5*s[83] + 66*s[84] + (280*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - w]*
      ((463*s[2])/24 + (415*s[3])/16 + (14357*s[4])/96 + (9941*s[5])/33 + 
       (562187*s[6])/1056 + (84863983*s[7])/19008 - (6176777*s[8])/28512 - 
       (1267229*s[9])/324 - (1678375*s[10])/1296 - (90632825*s[11])/19008 - 
       (23515903*s[12])/4752 - (55053871*s[13])/19008 - 
       (26107709*s[14])/19008 - (10751825*s[15])/1728 - 
       (18014861*s[16])/2376 - (40373165*s[17])/6336 - (1951685*s[18])/1944 - 
       (3467089*s[19])/7776 - (834338569*s[20])/85536 - 
       (658604723*s[21])/171072 + (403129231*s[22])/171072 + 
       (1204124*s[23])/297 + (206166817*s[24])/42768 - 
       (4368813457*s[25])/769824 + (2743151701*s[26])/769824 + 4*s[29] - 
       (2*s[30])/3 + (83*s[31])/6 + s[32]/12 + (727*s[33])/48 - 
       (125*s[34])/6 - (27*s[35])/4 - (79*s[36])/36 - (1469*s[37])/72 + 
       (1661*s[38])/12 - (2403*s[39])/4 + (12635*s[40])/18 - 
       (14981*s[41])/24 + (28559*s[42])/36 + (321113*s[43])/396 - 
       (2486587*s[44])/3168 + (1900013*s[45])/1584 - (12552451*s[46])/1584 - 
       (565183*s[47])/9504 + (6685313*s[48])/9504 - (34801835*s[49])/9504 + 
       (609230*s[50])/99 + (4575361*s[51])/9504 + (3146419*s[52])/9504 - 
       (10477117*s[53])/2376 - (3571*s[54])/99 - (93290587*s[55])/3168 - 
       (23797943*s[56])/3168 - (3667825*s[57])/4752 - (97626481*s[58])/9504 + 
       (34081429*s[59])/3168 + (3920706563*s[60])/57024 - 
       (952899223*s[61])/256608 + s[65] + 4*s[66] - 6*s[67] - 8*s[68] - 
       4*s[69] + (3*s[70])/2 - s[71] - (13*s[72])/6 + (73*s[73])/6 + 
       (11*s[74])/24 - (11*s[75])/24 - (31*s[76])/3 - (15*s[77])/4 - 
       (29*s[78])/6 + 26*s[79] + (175*s[80])/36 + 606*s[82] - 3*s[83] + 
       19*s[84] + 94*s[85]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((641*s[2])/24 - (625*s[3])/48 + 
       (161231*s[4])/96 + (345649*s[5])/528 + (2476847*s[6])/1056 + 
       (415910611*s[7])/19008 - (61148639*s[8])/28512 - (11803669*s[9])/648 - 
       (6505591*s[10])/1296 - (466922849*s[11])/19008 - 
       (132178171*s[12])/4752 - (328259815*s[13])/19008 - 
       (3882737*s[14])/19008 - (48014081*s[15])/1728 - 
       (171676651*s[16])/4752 - (18029161*s[17])/704 - 
       (13267189*s[18])/3888 - (27177745*s[19])/7776 - 
       (3471300259*s[20])/85536 - (2351077571*s[21])/171072 + 
       (1975610647*s[22])/171072 + (70126051*s[23])/2376 + 
       (251897599*s[24])/10692 - (12564186551*s[25])/384912 + 
       (3178783147*s[26])/192456 + s[28]/4 - 6*s[29] + (40*s[30])/3 + 
       (49*s[31])/2 + (1927*s[33])/48 - (142*s[34])/3 - (941*s[35])/12 - 
       (557*s[36])/6 + (239*s[37])/36 + (11839*s[38])/12 - 
       (181057*s[39])/48 + (198601*s[40])/48 - (51643*s[41])/16 + 
       (261337*s[42])/48 + (1712743*s[43])/528 - (590885*s[44])/176 + 
       (1254767*s[45])/396 - (42096371*s[46])/1584 + (2164733*s[47])/1584 + 
       (15908*s[48])/99 - (22937351*s[49])/1584 + (5355635*s[50])/264 + 
       (499759*s[51])/132 + (1184965*s[52])/396 - (33135821*s[53])/2376 + 
       (59141*s[54])/198 - (5753635*s[55])/66 - (109397135*s[56])/4752 + 
       (429637859*s[57])/14256 - (1834544005*s[58])/42768 + 
       (466520251*s[59])/10692 + (227443703*s[60])/1056 - 
       (8560641095*s[61])/769824 + s[64]/2 - (5*s[65])/3 - (32*s[66])/3 + 
       (34*s[67])/3 + (143*s[68])/6 + (43*s[69])/3 + (94*s[70])/3 - 
       (55*s[71])/6 + (137*s[72])/6 - (169*s[73])/6 - (455*s[74])/24 + 
       (551*s[75])/24 - (251*s[76])/6 - (535*s[77])/12 + (151*s[78])/2 + 
       262*s[79] + (593*s[80])/18 - s[81]/6 - 24*s[82] + (5*s[83])/4 + 
       (257*s[84])/2 + 94*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - v]*(21*s[2] + 104*s[3] + (775*s[4])/4 + 
       (1311*s[5])/11 + (4304*s[6])/11 + (662803*s[7])/264 - 
       (23065*s[8])/99 - (71177*s[9])/36 - (12539*s[10])/18 - 
       (358067*s[11])/132 - (754019*s[12])/264 - (144795*s[13])/88 - 
       (169033*s[14])/264 - (89821*s[15])/24 - (50048*s[16])/11 - 
       (130426*s[17])/33 - (48049*s[18])/108 - (11393*s[19])/27 - 
       (1583276*s[20])/297 - (4634833*s[21])/2376 + (2919173*s[22])/2376 + 
       (253013*s[23])/88 + (7095995*s[24])/2376 - (73955719*s[25])/21384 + 
       (43423777*s[26])/21384 - s[32] - 12*s[37] - 7*s[38] - (489*s[39])/4 + 
       (729*s[40])/4 - (711*s[41])/4 + (381*s[42])/4 + (8523*s[43])/44 - 
       (26959*s[44])/88 + (27635*s[45])/44 - (70359*s[46])/22 - 
       (9079*s[47])/264 + (71903*s[48])/264 - (270335*s[49])/264 + 
       (26718*s[50])/11 + (1007*s[51])/264 - (22523*s[52])/264 - 
       (42995*s[53])/22 + (2687*s[54])/11 - (3726611*s[55])/264 - 
       (1077565*s[56])/264 - (361991*s[57])/198 - (9374009*s[58])/2376 + 
       (10818689*s[59])/2376 + (43357103*s[60])/1584 - (9944177*s[61])/5346 - 
       8*s[68] + 8*s[69] - 8*s[77] + 414*s[82] + 96*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u]*
      (-16*s[2] + 54*s[3] + (971*s[4])/4 + (10239*s[5])/44 + 
       (23911*s[6])/44 + (1187137*s[7])/264 - (84911*s[8])/396 - 
       (68903*s[9])/18 - (57089*s[10])/36 - (624859*s[11])/132 - 
       (1248109*s[12])/264 - (734815*s[13])/264 - (431003*s[14])/264 - 
       (159629*s[15])/24 - (1069283*s[16])/132 - (161999*s[17])/22 - 
       (77783*s[18])/108 - (106687*s[19])/108 - (5937491*s[20])/594 - 
       (8755259*s[21])/2376 + (5555527*s[22])/2376 + (564887*s[23])/264 + 
       (13306927*s[24])/2376 - (60893401*s[25])/10692 + 
       (36715045*s[26])/10692 - 16*s[31] - 3*s[33] + 20*s[34] - 10*s[35] + 
       (134*s[36])/3 - (481*s[37])/6 + 24*s[38] + (81*s[39])/4 + 
       (517*s[40])/12 - (411*s[41])/4 - (1873*s[42])/12 + (25823*s[43])/132 - 
       (43951*s[44])/264 + (46751*s[45])/66 - (145293*s[46])/44 - 
       (196987*s[47])/792 + (480107*s[48])/792 - (603353*s[49])/792 + 
       (85715*s[50])/33 + (49009*s[51])/792 - (50747*s[52])/792 - 
       (255763*s[53])/132 + (800*s[54])/11 - (3740233*s[55])/264 - 
       (3190447*s[56])/792 - (1113850*s[57])/297 - (25955249*s[58])/7128 + 
       (25536659*s[59])/7128 + (143511803*s[60])/4752 - 
       (123643343*s[61])/64152 - 3*s[62] - 8*s[68] + 8*s[69] - 9*s[71] + 
       4*s[74] - 4*s[75] + 16*s[76] - 8*s[77] - 16*s[78] + 56*s[79] - 
       (25*s[80])/3 + 414*s[82] + 96*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - w]*(33*s[2] + 80*s[3] - (151*s[4])/4 + 
       (1583*s[5])/11 + (3161*s[6])/11 + (649991*s[7])/264 + 
       (14881*s[8])/198 - (76343*s[9])/36 - (23105*s[10])/18 - 
       (165433*s[11])/66 - (591161*s[12])/264 - (349445*s[13])/264 - 
       (455941*s[14])/264 - (96737*s[15])/24 - (153013*s[16])/33 - 
       (209965*s[17])/44 - (27289*s[18])/108 - (23630*s[19])/27 - 
       (1909280*s[20])/297 - (5648041*s[21])/2376 + (3005825*s[22])/2376 - 
       (592463*s[23])/264 + (8845433*s[24])/2376 - (58426081*s[25])/21384 + 
       (41202331*s[26])/21384 - 4*s[32] - 30*s[37] - 14*s[38] + 
       (1381*s[39])/4 - (1205*s[40])/4 + (995*s[41])/4 - (2893*s[42])/4 + 
       (7321*s[43])/44 - (1645*s[44])/88 + (43309*s[45])/44 - 
       (75231*s[46])/22 - (57647*s[47])/88 + (86695*s[48])/88 - 
       (62239*s[49])/88 + (29362*s[50])/11 - (49649*s[51])/88 - 
       (19739*s[52])/88 - (140297*s[53])/66 + (156*s[54])/11 - 
       (1512227*s[55])/88 - (1087159*s[56])/264 - (1222684*s[57])/99 - 
       (4248707*s[58])/2376 + (5129987*s[59])/2376 + (6229077*s[60])/176 - 
       (5676103*s[61])/2673 - 8*s[68] + 8*s[69] - 8*s[77] + 516*s[82] + 
       96*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 
       1 - w]*(-16*s[2] + 54*s[3] - (795*s[4])/4 + (753*s[5])/22 + 
       (35*s[6])/22 - (403675*s[7])/264 + (3633*s[8])/22 + (5519*s[9])/4 + 
       36*s[10] + (88047*s[11])/44 + (231705*s[12])/88 + (474197*s[13])/264 - 
       (109881*s[14])/88 + (34849*s[15])/24 + (274579*s[16])/132 + 
       (29837*s[17])/132 + (1151*s[18])/18 + (10109*s[19])/36 + 
       (179411*s[20])/99 + (300209*s[21])/792 - (241601*s[22])/264 - 
       (1035439*s[23])/264 - (136165*s[24])/88 + (21908393*s[25])/7128 - 
       (8167517*s[26])/7128 + 3*s[27] - 16*s[31] - 21*s[33] + 44*s[34] + 
       32*s[35] + (65*s[36])/3 - (167*s[37])/3 - 193*s[38] + 551*s[39] - 
       (1514*s[40])/3 + 374*s[41] - (4859*s[42])/6 - (8980*s[43])/33 + 
       (28531*s[44])/132 + (19285*s[45])/132 + (19795*s[46])/44 - 
       (161771*s[47])/396 + (173509*s[48])/396 + (107240*s[49])/99 - 
       (2230*s[50])/33 - (51991*s[51])/99 - (210289*s[52])/396 - 
       (23443*s[53])/132 - (476*s[54])/11 - (324655*s[55])/132 - 
       (41024*s[56])/99 - (5681381*s[57])/594 + (10855751*s[58])/3564 - 
       (2553461*s[59])/891 + (440839*s[60])/2376 - (19769837*s[61])/64152 - 
       8*s[68] + 8*s[69] + 9*s[71] + 4*s[74] - 4*s[75] + 16*s[76] - 8*s[77] - 
       16*s[78] + 32*s[79] - (256*s[80])/3 + 516*s[82] + 96*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      (8*s[2] + 102*s[3] - (425*s[4])/4 + (2949*s[5])/44 + (1153*s[6])/22 + 
       (83905*s[7])/264 + (36749*s[8])/297 - (6488*s[9])/27 - 
       (60313*s[10])/108 - (25495*s[11])/198 + (127139*s[12])/396 + 
       (32569*s[13])/99 - (416099*s[14])/396 - (90617*s[15])/72 - 
       (853285*s[16])/792 - (787571*s[17])/396 + (23*s[18])/324 - 
       (31997*s[19])/81 - (6317105*s[20])/3564 - (2540123*s[21])/3564 + 
       (325807*s[22])/3564 - (2058997*s[23])/792 + (7408583*s[24])/7128 + 
       (3013379*s[25])/16038 + (3740437*s[26])/16038 + 2*s[30] - 2*s[31] - 
       (5*s[32])/2 - (11*s[33])/4 + 6*s[34] - 5*s[35] + (10*s[36])/3 - 
       (295*s[37])/6 - 15*s[38] - 217*s[39] + (692*s[40])/3 - 208*s[41] + 
       (979*s[42])/3 + (6115*s[43])/33 - (89657*s[44])/264 + 
       (14369*s[45])/66 - (145063*s[46])/66 + (28273*s[47])/792 + 
       (123973*s[48])/792 - (1035835*s[49])/792 + (120347*s[50])/66 + 
       (157565*s[51])/792 + (65273*s[52])/792 - (264383*s[53])/198 + 
       (3394*s[54])/33 - (2166533*s[55])/264 - (150937*s[56])/88 - 
       (700099*s[57])/396 - (5178427*s[58])/2376 + (5825935*s[59])/2376 + 
       (89180593*s[60])/4752 - (34519*s[61])/33 - 4*s[63] + s[64] - 6*s[65] - 
       16*s[66] + 18*s[67] + 6*s[68] + 46*s[69] + 7*s[71] + 18*s[72] - 
       11*s[74] + 12*s[75] + 22*s[76] - 17*s[77] + 10*s[78] - 80*s[79] - 
       (55*s[80])/3 + 489*s[82] + 9*s[83] - 30*s[84] + 96*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      ((-19*s[2])/2 + (283*s[3])/4 - (751*s[4])/8 + (5955*s[5])/44 + 
       (10517*s[6])/88 + (124259*s[7])/176 + (76183*s[8])/792 - 
       (5462*s[9])/9 - (6328*s[10])/9 - (238481*s[11])/528 + 
       (2798*s[12])/33 + (151585*s[13])/528 - (737249*s[14])/528 - 
       (31669*s[15])/16 - (493579*s[16])/264 - (1556987*s[17])/528 - 
       (19741*s[18])/108 - (71593*s[19])/216 - (6697963*s[20])/2376 - 
       (6187703*s[21])/4752 + (1413163*s[22])/4752 - (544255*s[23])/264 + 
       (3157415*s[24])/2376 - (603769*s[25])/21384 + (12316189*s[26])/21384 - 
       12*s[31] + s[32]/2 - (21*s[33])/2 + 26*s[34] + (55*s[35])/2 + 
       (131*s[36])/6 - (130*s[37])/3 - 96*s[38] + (1791*s[39])/4 - 
       (5329*s[40])/12 + (1241*s[41])/4 - (8747*s[42])/12 - 
       (15383*s[43])/132 + (51595*s[44])/264 + (47621*s[45])/132 - 
       (10183*s[46])/22 - (329207*s[47])/792 + (445435*s[48])/792 + 
       (412013*s[49])/792 + (20320*s[50])/33 - (365449*s[51])/792 - 
       (368185*s[52])/792 - (42725*s[53])/66 - (6925*s[54])/22 - 
       (1506815*s[55])/264 - (881789*s[56])/792 - (2720543*s[57])/297 + 
       (11950157*s[58])/7128 - (8979581*s[59])/7128 + (39373615*s[60])/4752 - 
       (23060669*s[61])/32076 + s[64] + s[65] - 10*s[68] + 10*s[69] - 
       2*s[71] + 4*s[73] + (11*s[74])/2 - (9*s[75])/2 + 12*s[76] - 8*s[77] - 
       14*s[78] - 40*s[79] + (10*s[80])/3 + 489*s[82] + 9*s[83] - 30*s[84] + 
       96*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 
       1 - u]*(-19*s[2] + (227*s[3])/4 + (2395*s[4])/8 + (4375*s[5])/22 + 
       (48547*s[6])/88 + (7795027*s[7])/1584 - (796997*s[8])/2376 - 
       (110564*s[9])/27 - (175981*s[10])/108 - (8477591*s[11])/1584 - 
       (4499441*s[12])/792 - (5326063*s[13])/1584 - (1894889*s[14])/1584 - 
       (989249*s[15])/144 - (3463393*s[16])/396 - (1283957*s[17])/176 - 
       (64627*s[18])/81 - (683455*s[19])/648 - (74258269*s[20])/7128 - 
       (52946327*s[21])/14256 + (36593011*s[22])/14256 + 
       (3017941*s[23])/792 + (42415073*s[24])/7128 - (426496489*s[25])/
        64152 + (239477299*s[26])/64152 - s[28] - 14*s[31] - 10*s[33] + 
       28*s[34] + 26*s[35] + (20*s[36])/3 - (64*s[37])/3 + (217*s[38])/2 - 
       383*s[39] + (1531*s[40])/3 - 425*s[41] + (2899*s[42])/6 + 
       (17243*s[43])/33 - (157423*s[44])/264 + (108281*s[45])/132 - 
       (711991*s[46])/132 - (97357*s[47])/792 + (505091*s[48])/792 - 
       (2061929*s[49])/792 + (292261*s[50])/66 + (296719*s[51])/792 + 
       (161959*s[52])/792 - (294344*s[53])/99 - (14380*s[54])/33 - 
       (5314889*s[55])/264 - (1326613*s[56])/264 - (81073*s[57])/132 - 
       (16618849*s[58])/2376 + (17012515*s[59])/2376 + 
       (232214105*s[60])/4752 - (53607527*s[61])/21384 + 2*s[67] - 7*s[68] + 
       7*s[69] + 2*s[70] + 2*s[72] - 2*s[73] + s[74]/2 - s[75]/2 + 16*s[76] - 
       9*s[77] - 14*s[78] + 108*s[79] - (176*s[80])/3 + 588*s[82] - 9*s[83] + 
       30*s[84] + 96*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1}, 1 - v]*((13*s[2])/2 + 73*s[3] + (623*s[4])/2 + 
       (3853*s[5])/22 + (24693*s[6])/44 + (4192871*s[7])/792 - 
       (443755*s[8])/1188 - (474773*s[9])/108 - (90227*s[10])/54 - 
       (4642225*s[11])/792 - (5029595*s[12])/792 - (1512427*s[13])/396 - 
       (186577*s[14])/198 - (519349*s[15])/72 - (7326827*s[16])/792 - 
       (647491*s[17])/88 - (125591*s[18])/162 - (377903*s[19])/324 - 
       (9733250*s[20])/891 - (6691705*s[21])/1782 + (2467561*s[22])/891 + 
       (887845*s[23])/198 + (22878247*s[24])/3564 - (477888685*s[25])/64152 + 
       (257372593*s[26])/64152 + s[27] + 2*s[29] - (9*s[32])/2 - s[33] + 
       2*s[34] - 2*s[35] + (46*s[36])/3 - (217*s[37])/6 + (17*s[38])/2 - 
       35*s[39] + (374*s[40])/3 - (269*s[41])/2 - (92*s[42])/3 + 
       (7807*s[43])/33 - (85205*s[44])/264 + (9910*s[45])/33 - 
       (66713*s[46])/33 - (215723*s[47])/792 + (567829*s[48])/792 - 
       (1094923*s[49])/792 + (119657*s[50])/66 - (26815*s[51])/792 - 
       (85363*s[52])/792 - (106708*s[53])/99 - (15173*s[54])/33 - 
       (2130245*s[55])/264 - (416459*s[56])/264 - (484565*s[57])/132 - 
       (3644963*s[58])/2376 + (4248875*s[59])/2376 + (104719537*s[60])/4752 - 
       (8251247*s[61])/10692 + 2*s[67] - 7*s[68] + 7*s[69] + 2*s[70] + 
       s[71] + 2*s[72] - s[74] + 14*s[76] - 9*s[77] - 14*s[78] + 88*s[79] - 
       (139*s[80])/3 + 588*s[82] - 9*s[83] + 30*s[84] + 96*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((469*s[2])/36 + (317*s[3])/8 + (201221*s[4])/144 + 
       (1703755*s[5])/1584 + (4069975*s[6])/1584 + (113288827*s[7])/4752 - 
       (9090991*s[8])/4752 - (4361581*s[9])/216 - (2677147*s[10])/432 - 
       (4656699*s[11])/176 - (30813313*s[12])/1056 - (168626737*s[13])/9504 - 
       (944953*s[14])/352 - (2247013*s[15])/72 - (379844653*s[16])/9504 - 
       (142991509*s[17])/4752 - (888551*s[18])/216 - (91843*s[19])/24 - 
       (55874987*s[20])/1188 - (482794175*s[21])/28512 + 
       (358969805*s[22])/28512 + (125913031*s[23])/4752 + 
       (23690683*s[24])/891 - (4341478459*s[25])/128304 + 
       (294561599*s[26])/16038 + (11*s[28])/6 - (41*s[29])/9 - (11*s[30])/3 + 
       (10*s[31])/3 - (133*s[32])/9 - (635*s[33])/72 - (130*s[34])/9 - 
       (317*s[35])/18 - (2633*s[36])/54 + 63*s[37] + (16033*s[38])/18 - 
       (74527*s[39])/24 + (741299*s[40])/216 - (31763*s[41])/12 + 
       (1871843*s[42])/432 + (6899545*s[43])/2376 - (27489613*s[44])/9504 + 
       (312386*s[45])/99 - (57213991*s[46])/2376 + (26383307*s[47])/28512 + 
       (19892999*s[48])/28512 - (369358895*s[49])/28512 + 
       (21853253*s[50])/1188 + (85323313*s[51])/28512 + 
       (69756601*s[52])/28512 - (180071317*s[53])/14256 + 
       (260753*s[54])/2376 - (765645121*s[55])/9504 - 
       (590752637*s[56])/28512 + (906834601*s[57])/42768 - 
       (9629366191*s[58])/256608 + (9796618087*s[59])/256608 + 
       (34223947205*s[60])/171072 - (11735640953*s[61])/1154736 - 
       (10*s[63])/3 - (2*s[64])/3 + (5*s[65])/18 - (23*s[66])/9 + 
       (19*s[67])/3 + (8*s[68])/3 + (19*s[69])/3 + 25*s[70] - (34*s[71])/9 + 
       (11*s[72])/9 - (199*s[73])/9 - (293*s[74])/36 + (329*s[75])/36 - 
       s[76]/9 - (563*s[77])/18 + (17*s[78])/3 + 163*s[79] + (5*s[80])/9 + 
       355*s[82] - (23*s[83])/6 + (391*s[84])/3 + 96*s[85]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u]*(6*s[1] - 27*s[2] + 
       21*s[3] + 1751*s[4] + (147899*s[5])/132 + (375953*s[6])/132 + 
       (8017835*s[7])/297 - (2043412*s[8])/891 - (3688585*s[9])/162 - 
       (1144217*s[10])/162 - (70377061*s[11])/2376 - (9634888*s[12])/297 - 
       (15431353*s[13])/792 - (6835867*s[14])/2376 - (1297271*s[15])/36 - 
       (36013943*s[16])/792 - (82964969*s[17])/2376 - (1154488*s[18])/243 - 
       (4115129*s[19])/972 - (568497953*s[20])/10692 - 
       (404968225*s[21])/21384 + (303637703*s[22])/21384 + 
       (24865349*s[23])/792 + (631981583*s[24])/21384 - 
       (7309885861*s[25])/192456 + (3944852677*s[26])/192456 + (4*s[29])/3 + 
       6*s[30] + (38*s[31])/3 - (13*s[32])/6 + (40*s[33])/3 - (56*s[34])/3 - 
       (50*s[35])/3 - (617*s[36])/9 + (129*s[37])/2 + (2845*s[38])/3 - 
       (45659*s[39])/12 + (152477*s[40])/36 - (13487*s[41])/4 + 
       (198649*s[42])/36 + (1321567*s[43])/396 - (1385029*s[44])/396 + 
       (168719*s[45])/44 - (5981435*s[46])/198 + (1562159*s[47])/1188 + 
       (173335*s[48])/594 - (18101087*s[49])/1188 + (4646801*s[50])/198 + 
       (1141057*s[51])/297 + (1792385*s[52])/594 - (19339721*s[53])/1188 + 
       (43514*s[54])/99 - (13604873*s[55])/132 - (31781345*s[56])/1188 + 
       (22654721*s[57])/891 - (497382517*s[58])/10692 + 
       (506618533*s[59])/10692 + (221098021*s[60])/891 - 
       (626846927*s[61])/48114 - s[65]/3 - (4*s[66])/3 - (2*s[67])/3 + 
       (28*s[68])/3 + (4*s[69])/3 - (8*s[70])/3 - (5*s[71])/3 + 
       (52*s[72])/3 - (8*s[73])/3 - 19*s[74] + 19*s[75] - (94*s[76])/3 + 
       (28*s[77])/3 + (76*s[78])/3 + 364*s[79] - (221*s[80])/3 + 304*s[82] + 
       s[83] + 166*s[84] + 96*s[85]) + HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1}, 1 - w]*(21*s[2] + 6*s[3] + (6935*s[4])/4 + 
       (156287*s[5])/132 + (97472*s[6])/33 + (65590897*s[7])/2376 - 
       (8275039*s[8])/3564 - (3766387*s[9])/162 - (1172201*s[10])/162 - 
       (17942587*s[11])/594 - (19558391*s[12])/594 - (656030*s[13])/33 - 
       (3600155*s[14])/1188 - (2668235*s[15])/72 - (36830107*s[16])/792 - 
       (42812161*s[17])/1188 - (4598077*s[18])/972 - (2149267*s[19])/486 - 
       (145107503*s[20])/2673 - (206776985*s[21])/10692 + 
       (154947289*s[22])/10692 + (8297297*s[23])/264 + 
       (649602695*s[24])/21384 - (7474549975*s[25])/192456 + 
       (4035165487*s[26])/192456 + (4*s[29])/3 + s[30] + (38*s[31])/3 + 
       s[32]/3 + (40*s[33])/3 - (56*s[34])/3 - (50*s[35])/3 - (860*s[36])/9 + 
       (509*s[37])/6 + (2836*s[38])/3 - (22903*s[39])/6 + (76351*s[40])/18 - 
       3356*s[41] + (49840*s[42])/9 + (673163*s[43])/198 - 
       (2762147*s[44])/792 + (133024*s[45])/33 - (6120401*s[46])/198 + 
       (3115129*s[47])/2376 + (536245*s[48])/2376 - (36312811*s[49])/2376 + 
       (4736801*s[50])/198 + (9130805*s[51])/2376 + (7285595*s[52])/2376 - 
       (19972769*s[53])/1188 + (61304*s[54])/99 - (28164943*s[55])/264 - 
       (65594725*s[56])/2376 + (85246049*s[57])/3564 - 
       (1007184965*s[58])/21384 + (1030510841*s[59])/21384 + 
       (3611994565*s[60])/14256 - (646923743*s[61])/48114 + 8*s[62] - 
       s[65]/3 - (4*s[66])/3 - (2*s[67])/3 + (19*s[68])/3 - (29*s[69])/3 - 
       (8*s[70])/3 - (5*s[71])/3 + (52*s[72])/3 - (8*s[73])/3 - 19*s[74] + 
       19*s[75] - (31*s[76])/3 + (19*s[77])/3 + (58*s[78])/3 + 320*s[79] - 
       58*s[80] + 304*s[82] + s[83] + 166*s[84] + 96*s[85]) + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v]*(6*s[1] - (21*s[2])/2 + 
       63*s[3] + (3419*s[4])/2 + (81523*s[5])/66 + (196177*s[6])/66 + 
       (32779883*s[7])/1188 - (8193679*s[8])/3564 - (1884971*s[9])/81 - 
       (2346283*s[10])/324 - (71766559*s[11])/2376 - (39137941*s[12])/1188 - 
       (1734693*s[13])/88 - (7833127*s[14])/2376 - (1333195*s[15])/36 - 
       (36908881*s[16])/792 - (85739873*s[17])/2376 - (2421641*s[18])/486 - 
       (4102469*s[19])/972 - (585297527*s[20])/10692 - 
       (422379883*s[21])/21384 + (309486887*s[22])/21384 + 
       (2831965*s[23])/88 + (643791953*s[24])/21384 - 
       (927970526*s[25])/24057 + (1016267251*s[26])/48114 - 4*s[27] + 
       (4*s[29])/3 + 6*s[30] - (25*s[31])/3 + s[32]/3 - (101*s[33])/12 - 
       (8*s[34])/3 + (94*s[35])/3 - (806*s[36])/9 + (509*s[37])/6 + 
       (2896*s[38])/3 - (23143*s[39])/6 + (77035*s[40])/18 - 3374*s[41] + 
       (50182*s[42])/9 + (679247*s[43])/198 - (2814707*s[44])/792 + 
       (130678*s[45])/33 - (6100169*s[46])/198 + (3057097*s[47])/2376 + 
       (825109*s[48])/2376 - (36872107*s[49])/2376 + (4712537*s[50])/198 + 
       (9112517*s[51])/2376 + (7284875*s[52])/2376 - (19747337*s[53])/1188 + 
       (43448*s[54])/99 - (9277621*s[55])/88 - (65053861*s[56])/2376 + 
       (90920801*s[57])/3564 - (1014025253*s[58])/21384 + 
       (1035188105*s[59])/21384 + (3602533621*s[60])/14256 - 
       (641734019*s[61])/48114 + 8*s[62] - s[65]/3 - (4*s[66])/3 - 
       (2*s[67])/3 + (19*s[68])/3 - (5*s[69])/3 - (8*s[70])/3 - (5*s[71])/3 + 
       (52*s[72])/3 - (8*s[73])/3 - 19*s[74] + 19*s[75] - (31*s[76])/3 + 
       (19*s[77])/3 + (58*s[78])/3 + 320*s[79] - 58*s[80] + 304*s[82] + 
       s[83] + 166*s[84] + 96*s[85]) + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((1313*s[2])/36 - (25*s[3])/24 + 
       (85741*s[4])/144 + (727319*s[5])/792 + (2978401*s[6])/1584 + 
       (438915715*s[7])/28512 - (8854369*s[8])/10692 - (51916001*s[9])/3888 - 
       (17362525*s[10])/3888 - (237575009*s[11])/14256 - 
       (250214395*s[12])/14256 - (465519*s[13])/44 - (56300471*s[14])/14256 - 
       (18100915*s[15])/864 - (247639789*s[16])/9504 - 
       (303334111*s[17])/14256 - (4668635*s[18])/1458 - 
       (11016961*s[19])/5832 - (2083716181*s[20])/64152 - 
       (101943260*s[21])/8019 + (522987335*s[22])/64152 + 
       (44448827*s[23])/3168 + (4379717429*s[24])/256608 - 
       (23277541883*s[25])/1154736 + (14120221523*s[26])/1154736 - s[27]/6 + 
       s[28]/3 + 15*s[29] - (20*s[30])/3 + (182*s[31])/9 + (35*s[32])/9 + 
       (1495*s[33])/72 - (148*s[34])/9 + (13*s[35])/18 + (25*s[36])/54 + 
       (317*s[37])/9 + (10855*s[38])/18 - (19190*s[39])/9 + 
       (130943*s[40])/54 - (23009*s[41])/12 + (319697*s[42])/108 + 
       (632927*s[43])/297 - (19567681*s[44])/9504 + (331589*s[45])/132 - 
       (21966881*s[46])/1188 + (13735691*s[47])/28512 + 
       (22209035*s[48])/28512 - (260420441*s[49])/28512 + 
       (4161197*s[50])/297 + (57365503*s[51])/28512 + 
       (50316049*s[52])/28512 - (137608021*s[53])/14256 + 
       (1417391*s[54])/2376 - (598263923*s[55])/9504 - 
       (484050911*s[56])/28512 + (148206331*s[57])/10692 - 
       (7296661495*s[58])/256608 + (7350958999*s[59])/256608 + 
       (26317651823*s[60])/171072 - (4687771093*s[61])/577368 - s[64]/3 + 
       (31*s[65])/9 + (118*s[66])/9 - (188*s[67])/9 - (158*s[68])/9 - 
       (308*s[69])/9 - (29*s[70])/9 - (107*s[71])/18 - (67*s[72])/9 + 
       (167*s[73])/9 - (7*s[74])/36 + (7*s[75])/36 - (62*s[76])/3 - 
       (143*s[77])/18 - (167*s[78])/9 + (695*s[79])/3 - (73*s[80])/3 + 
       228*s[82] - (71*s[83])/6 + 129*s[84] + (292*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((-25*s[2])/12 - (385*s[3])/24 + (62909*s[4])/48 + (6145*s[5])/11 + 
       (980813*s[6])/528 + (171816811*s[7])/9504 - (24388885*s[8])/14256 - 
       (9814867*s[9])/648 - (2917919*s[10])/648 - (191016193*s[11])/9504 - 
       (107265559*s[12])/4752 - (4763523*s[13])/352 - (11495365*s[14])/9504 - 
       (2243957*s[15])/96 - (23951611*s[16])/792 - (209176499*s[17])/9504 - 
       (11846113*s[18])/3888 - (683462*s[19])/243 - (750971197*s[20])/21384 - 
       (1024375333*s[21])/85536 + (818557529*s[22])/85536 + 
       (492513*s[23])/22 + (844578643*s[24])/42768 - (10084970615*s[25])/
        384912 + (5250744023*s[26])/384912 - 10*s[29] + (25*s[30])/3 - 
       (11*s[31])/3 + (41*s[32])/12 + 3*s[33] + (5*s[34])/6 + (55*s[35])/9 - 
       (737*s[36])/18 + (1181*s[37])/36 + 622*s[38] - (181739*s[39])/72 + 
       (207151*s[40])/72 - (166117*s[41])/72 + (266327*s[42])/72 + 
       (1713449*s[43])/792 - (7569377*s[44])/3168 + (201199*s[45])/88 - 
       (7536269*s[46])/396 + (8370179*s[47])/9504 + (2828291*s[48])/9504 - 
       (94269077*s[49])/9504 + (1461232*s[50])/99 + (25111927*s[51])/9504 + 
       (19440493*s[52])/9504 - (47211793*s[53])/4752 + (23696*s[54])/99 - 
       (66499003*s[55])/1056 - (160183007*s[56])/9504 + 
       (285156955*s[57])/14256 - (2602857679*s[58])/85536 + 
       (2611919869*s[59])/85536 + (8922272867*s[60])/57024 - 
       (6218069623*s[61])/769824 + 3*s[62] + (2*s[63])/3 - s[65]/6 - 
       (17*s[66])/3 + (23*s[67])/3 + 3*s[68] + (29*s[69])/3 + (61*s[70])/3 - 
       (31*s[71])/12 + 8*s[72] - (71*s[73])/6 - (124*s[74])/9 + 
       (124*s[75])/9 - (80*s[76])/9 - (266*s[77])/9 + (35*s[78])/6 + 
       (1018*s[79])/3 - (671*s[80])/9 - s[81]/6 + (874*s[82])/3 - 4*s[83] + 
       126*s[84] + (302*s[85])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - u]*(7*s[2] + (261*s[3])/8 + (17557*s[4])/36 + 
       (46985*s[5])/132 + (250361*s[6])/264 + (39124783*s[7])/4752 - 
       (2374591*s[8])/3564 - (559751*s[9])/81 - (1467833*s[10])/648 - 
       (42731879*s[11])/4752 - (46295035*s[12])/4752 - 
       (13848635*s[13])/2376 - (1420955*s[14])/1188 - (4806179*s[15])/432 - 
       (66720235*s[16])/4752 - (17535103*s[17])/1584 - (2921777*s[18])/1944 - 
       (2469085*s[19])/1944 - (44138537*s[20])/2673 - 
       (64382825*s[21])/10692 + (91987121*s[22])/21384 + 
       (21785575*s[23])/2376 + (97506025*s[24])/10692 - 
       (2192368357*s[25])/192456 + (1219889359*s[26])/192456 + s[30] + 
       s[31] - s[33]/2 + 5*s[34] + (14*s[35])/3 - (52*s[36])/3 + 
       (40*s[37])/9 + (1037*s[38])/4 - (153667*s[39])/144 + 
       (175891*s[40])/144 - (141109*s[41])/144 + (220669*s[42])/144 + 
       (1706609*s[43])/1584 - (1145057*s[44])/1056 + (2143703*s[45])/1584 - 
       (437159*s[46])/44 + (2043641*s[47])/9504 + (4168907*s[48])/9504 - 
       (46311503*s[49])/9504 + (6154327*s[50])/792 + (3170549*s[51])/3168 + 
       (7533865*s[52])/9504 - (12986365*s[53])/2376 - (395*s[54])/33 - 
       (332853007*s[55])/9504 - (9543205*s[56])/1056 + (3173213*s[57])/594 - 
       (413715491*s[58])/28512 + (426469163*s[59])/28512 + 
       (4746518747*s[60])/57024 - (192499061*s[61])/42768 - (5*s[68])/2 + 
       (5*s[69])/2 + s[70]/2 - s[71] + 4*s[72] - (35*s[74])/12 + 
       (35*s[75])/12 - (13*s[76])/3 - (23*s[77])/6 + 2*s[78] + 100*s[79] - 
       (73*s[80])/3 + 394*s[82] + 48*s[84] + 102*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w]*
      ((55*s[2])/8 + (853*s[3])/16 + (283031*s[4])/288 + (352853*s[5])/528 + 
       (1785175*s[6])/1056 + (297025027*s[7])/19008 - (9339101*s[8])/7128 - 
       (34100341*s[9])/2592 - (10709273*s[10])/2592 - (20392649*s[11])/1188 - 
       (178559105*s[12])/9504 - (106702769*s[13])/9504 - 
       (8560157*s[14])/4752 - (36002321*s[15])/1728 - 
       (502684087*s[16])/19008 - (64451821*s[17])/3168 - 
       (22105337*s[18])/7776 - (18512065*s[19])/7776 - 
       (1326882773*s[20])/42768 - (477375983*s[21])/42768 + 
       (701872037*s[22])/85536 + (349675793*s[23])/19008 + 
       (2923090231*s[24])/171072 - (8438480957*s[25])/384912 + 
       (9212344267*s[26])/769824 - (3*s[29])/2 + (7*s[30])/2 + (5*s[31])/2 - 
       s[32] + (7*s[33])/4 - (15*s[34])/4 - (53*s[35])/12 - (449*s[36])/12 + 
       (505*s[37])/24 + (6223*s[38])/12 - (309055*s[39])/144 + 
       (347455*s[40])/144 - (276331*s[41])/144 + (446191*s[42])/144 + 
       (3038009*s[43])/1584 - (4319723*s[44])/2112 + (1781563*s[45])/792 - 
       (3078421*s[46])/176 + (12427663*s[47])/19008 + (6990847*s[48])/19008 - 
       (167807647*s[49])/19008 + (10735963*s[50])/792 + 
       (13342799*s[51])/6336 + (31847429*s[52])/19008 - 
       (89336239*s[53])/9504 + (5673*s[54])/44 - (1133717357*s[55])/19008 - 
       (32972765*s[56])/2112 + (69788143*s[57])/4752 - 
       (1538766319*s[58])/57024 + (1564429723*s[59])/57024 + 
       (16406843533*s[60])/114048 - (657659471*s[61])/85536 - s[65]/4 - 
       (3*s[66])/4 + (3*s[67])/2 - (7*s[68])/4 + (19*s[69])/4 - s[70]/2 - 
       (3*s[71])/4 + (17*s[72])/2 - (3*s[73])/2 - (239*s[74])/24 + 
       (239*s[75])/24 - (14*s[76])/3 - (71*s[77])/12 + 8*s[78] + 190*s[79] - 
       (547*s[80])/12 + 409*s[82] + (3*s[83])/4 + (177*s[84])/2 + 
       102*s[85]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*((-215*s[2])/72 - (561*s[3])/16 - 
       (429169*s[4])/288 - (89095*s[5])/144 - (566687*s[6])/288 - 
       (93380759*s[7])/5184 + (14541839*s[8])/7776 + (3609061*s[9])/243 + 
       (14710271*s[10])/3888 + (105413909*s[11])/5184 + 
       (30287509*s[12])/1296 + (25044409*s[13])/1728 - (771811*s[14])/5184 + 
       (38287853*s[15])/1728 + (4213723*s[16])/144 + (104452087*s[17])/5184 + 
       (35746373*s[18])/11664 + (62486495*s[19])/23328 + 
       (763443943*s[20])/23328 + (512227391*s[21])/46656 - 
       (439313323*s[22])/46656 - (5661697*s[23])/216 - 
       (27624755*s[24])/1458 + (178787222*s[25])/6561 - 
       (1426371959*s[26])/104976 + s[28]/4 + (14*s[29])/3 - (10*s[30])/3 - 
       (95*s[31])/18 - (52*s[32])/9 + (3215*s[33])/144 + (17*s[34])/9 + 
       (1211*s[35])/36 + (1682*s[36])/27 - (2033*s[37])/18 - 
       (34459*s[38])/36 + (492745*s[39])/144 - (1619147*s[40])/432 + 
       (137047*s[41])/48 - (2101999*s[42])/432 - (13354141*s[43])/4752 + 
       (7066031*s[44])/2376 - (251061*s[45])/88 + (110603257*s[46])/4752 - 
       (9937465*s[47])/7128 - (1501355*s[48])/14256 + (89771239*s[49])/7128 - 
       (41556161*s[50])/2376 - (49305259*s[51])/14256 - 
       (40484749*s[52])/14256 + (85625869*s[53])/7128 - 
       (1293251*s[54])/1188 + (356011289*s[55])/4752 + 
       (144152551*s[56])/7128 - (1195766753*s[57])/42768 + 
       (610204163*s[58])/16038 - (4893921913*s[59])/128304 - 
       (8019404629*s[60])/42768 + (22663106657*s[61])/2309472 - (3*s[62])/2 - 
       s[64]/2 + (11*s[65])/18 + (58*s[66])/9 - (89*s[67])/9 - 
       (277*s[68])/18 - (152*s[69])/9 - (290*s[70])/9 + (62*s[71])/9 - 
       (143*s[72])/18 + (43*s[73])/18 + (1237*s[74])/72 - (1129*s[75])/72 + 
       (43*s[76])/6 + (965*s[77])/36 - (235*s[78])/18 - 224*s[79] + 
       (104*s[80])/3 + s[81]/6 + 786*s[82] - (67*s[83])/12 - (85*s[84])/2 + 
       (322*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{0, 1, 1}, 1 - u]*((23*s[2])/2 + (2485*s[3])/48 + (26159*s[4])/32 + 
       (13579*s[5])/22 + (1660337*s[6])/1056 + (8332889*s[7])/594 - 
       (7920535*s[8])/7128 - (30677831*s[9])/2592 - (9938683*s[10])/2592 - 
       (73037113*s[11])/4752 - (39698071*s[12])/2376 - (1975981*s[13])/198 - 
       (19281863*s[14])/9504 - (74979*s[15])/4 - (25137917*s[16])/1056 - 
       (176328859*s[17])/9504 - (20146459*s[18])/7776 - 
       (16497485*s[19])/7776 - (2413602383*s[20])/85536 - 
       (438298891*s[21])/42768 + (157480687*s[22])/21384 + 
       (6108655*s[23])/396 + (1323595531*s[24])/85536 - 
       (14978773295*s[25])/769824 + (8303512229*s[26])/769824 + 
       (19*s[30])/12 + (19*s[31])/6 - (7*s[32])/12 + (19*s[33])/12 - 
       (19*s[34])/6 - (19*s[35])/9 - (547*s[36])/18 + (151*s[37])/9 + 
       (1725*s[38])/4 - (258629*s[39])/144 + (293701*s[40])/144 - 
       (58669*s[41])/36 + (185917*s[42])/72 + (2692535*s[43])/1584 - 
       (5627269*s[44])/3168 + (1107343*s[45])/528 - (12465449*s[46])/792 + 
       (4462951*s[47])/9504 + (5139781*s[48])/9504 - (36860447*s[49])/4752 + 
       (2412121*s[50])/198 + (4203131*s[51])/2376 + (13210271*s[52])/9504 - 
       (40257227*s[53])/4752 + (165919*s[54])/1584 - (171651949*s[55])/3168 - 
       (33821977*s[56])/2376 + (79142419*s[57])/7128 - 
       (253894297*s[58])/10692 + (64424161*s[59])/2673 + 
       (3716015429*s[60])/28512 - (5433018989*s[61])/769824 - (11*s[68])/6 + 
       (11*s[69])/6 - s[71] + (19*s[72])/3 + 4*s[73] - (133*s[74])/18 + 
       (133*s[75])/18 - (58*s[76])/9 - (71*s[77])/18 + (16*s[78])/3 + 
       (466*s[79])/3 - (310*s[80])/9 + (1382*s[82])/3 + 76*s[84] + 
       (322*s[85])/3) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((7*s[2])/2 + (211*s[3])/2 + (51919*s[4])/24 + 
       (86355*s[5])/88 + (205663*s[6])/66 + (68520841*s[7])/2376 - 
       (19818479*s[8])/7128 - (15509035*s[9])/648 - (2260183*s[10])/324 - 
       (152252063*s[11])/4752 - (42656755*s[12])/1188 - 
       (11460109*s[13])/528 - (7300463*s[14])/4752 - (2694223*s[15])/72 - 
       (76390829*s[16])/1584 - (168063961*s[17])/4752 - (1225606*s[18])/243 - 
       (8540677*s[19])/1944 - (1180583383*s[20])/21384 - 
       (816577577*s[21])/42768 + (645727825*s[22])/42768 + 
       (20031331*s[23])/528 + (1322537713*s[24])/42768 - 
       (8074775485*s[25])/192456 + (4213485109*s[26])/192456 - (35*s[29])/3 + 
       13*s[30] + (14*s[31])/3 - (7*s[32])/6 + (245*s[33])/24 - 
       (91*s[34])/6 - (71*s[35])/3 - (1897*s[36])/18 + (689*s[37])/6 + 
       (2185*s[38])/2 - (107915*s[39])/24 + (358837*s[40])/72 - 
       (93733*s[41])/24 + (470453*s[42])/72 + (272893*s[43])/72 - 
       (297835*s[44])/72 + (50365*s[45])/12 - (2451217*s[46])/72 + 
       (174577*s[47])/108 + (57335*s[48])/216 - (472720*s[49])/27 + 
       (940811*s[50])/36 + (970921*s[51])/216 + (387203*s[52])/108 - 
       (488257*s[53])/27 + (11657*s[54])/18 - (1025539*s[55])/9 - 
       (816511*s[56])/27 + (21948731*s[57])/648 - (104796667*s[58])/1944 + 
       (53023109*s[59])/972 + (179121865*s[60])/648 - 
       (514575227*s[61])/34992 - (17*s[65])/6 - (71*s[66])/6 + (52*s[67])/3 + 
       (34*s[68])/3 + (143*s[69])/6 + s[70]/3 + (5*s[71])/6 + (82*s[72])/3 - 
       (68*s[73])/3 - 28*s[74] + 28*s[75] - (70*s[76])/3 - (79*s[77])/6 + 
       (148*s[78])/3 + 374*s[79] - (247*s[80])/3 + 348*s[82] + (17*s[83])/2 + 
       163*s[84] + 108*s[85]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*((157*s[2])/6 + (97*s[3])/6 + (12673*s[4])/6 + 
       (332777*s[5])/264 + (901199*s[6])/264 + (152328901*s[7])/4752 - 
       (19767029*s[8])/7128 - (8747603*s[9])/324 - (5320829*s[10])/648 - 
       (84325783*s[11])/2376 - (93466577*s[12])/2376 - 
       (28134247*s[13])/1188 - (906635*s[14])/297 - (18110141*s[15])/432 - 
       (255651163*s[16])/4752 - (15926951*s[17])/396 - 
       (11194259*s[18])/1944 - (4653167*s[19])/972 - (1345593055*s[20])/
        21384 - (59881817*s[21])/2673 + (45233668*s[22])/2673 + 
       (184386227*s[23])/4752 + (1488101557*s[24])/42768 - 
       (17565231113*s[25])/384912 + (9450708911*s[26])/384912 - 7*s[29] + 
       8*s[30] + (29*s[31])/3 - (28*s[32])/3 + (121*s[33])/24 - 
       (55*s[34])/3 - (34*s[35])/3 - (896*s[36])/9 + (3403*s[37])/36 + 
       (2389*s[38])/2 - (57227*s[39])/12 + (191945*s[40])/36 - 
       (50189*s[41])/12 + (496061*s[42])/72 + (1634551*s[43])/396 - 
       (7033819*s[44])/1584 + (3516869*s[45])/792 - (28580065*s[46])/792 + 
       (7679333*s[47])/4752 + (2708873*s[48])/4752 - (90114173*s[49])/4752 + 
       (10979893*s[50])/396 + (22454935*s[51])/4752 + (18086335*s[52])/4752 - 
       (5632876*s[53])/297 + (42847*s[54])/99 - (189866395*s[55])/1584 - 
       (16746371*s[56])/528 + (10754729*s[57])/297 - (814839605*s[58])/
        14256 + (822826715*s[59])/14256 + (8413745165*s[60])/28512 - 
       (218970701*s[61])/14256 + 2*s[63] - s[64]/2 - (4*s[65])/3 - 
       (53*s[66])/6 + (47*s[67])/3 + (26*s[68])/3 + (121*s[69])/6 - s[70]/3 - 
       (5*s[71])/3 + (68*s[72])/3 - 28*s[73] - 26*s[74] + (51*s[75])/2 - 
       (67*s[76])/3 - (41*s[77])/6 + (116*s[78])/3 + (1360*s[79])/3 - 
       (1775*s[80])/18 + 374*s[82] + (5*s[83])/2 + 195*s[84] + 108*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      ((34*s[2])/3 + (465*s[3])/8 + (32713*s[4])/16 + (40775*s[5])/33 + 
       (1741901*s[6])/528 + (294114383*s[7])/9504 - (38704289*s[8])/14256 - 
       (16859339*s[9])/648 - (638342*s[10])/81 - (325791641*s[11])/9504 - 
       (22592365*s[12])/594 - (8063705*s[13])/352 - (27004157*s[14])/9504 - 
       (11621267*s[15])/288 - (20556769*s[16])/396 - (368464951*s[17])/9504 - 
       (10883155*s[18])/1944 - (17946997*s[19])/3888 - 
       (2591787223*s[20])/42768 - (1841294747*s[21])/85536 + 
       (1394464507*s[22])/85536 + (9984445*s[23])/264 + 
       (716509009*s[24])/21384 - (16994356873*s[25])/384912 + 
       (9114218503*s[26])/384912 + s[28]/2 - 9*s[29] + 6*s[30] + 
       (19*s[31])/3 - (59*s[32])/12 - (217*s[33])/24 - (35*s[34])/3 - 
       (115*s[35])/6 - (1723*s[36])/18 + (1427*s[37])/12 + (3478*s[38])/3 - 
       (27601*s[39])/6 + (46094*s[40])/9 - (48019*s[41])/12 + 
       (477551*s[42])/72 + (777179*s[43])/198 - (6730675*s[44])/1584 + 
       (1165931*s[45])/264 - (27840443*s[46])/792 + (7618799*s[47])/4752 + 
       (1958111*s[48])/4752 - (86070779*s[49])/4752 + (10699915*s[50])/396 + 
       (21866497*s[51])/4752 + (17555875*s[52])/4752 - (5502869*s[53])/297 + 
       (170273*s[54])/396 - (185825851*s[55])/1584 - (147528245*s[56])/4752 + 
       (124282475*s[57])/3564 - (2383929571*s[58])/42768 + 
       (2402280193*s[59])/42768 + (8185472939*s[60])/28512 - 
       (5826224227*s[61])/384912 - s[65]/3 - (19*s[66])/3 + (41*s[67])/3 + 
       (23*s[68])/3 + (44*s[69])/3 + (5*s[70])/3 - (5*s[71])/3 + 
       (55*s[72])/3 - (59*s[73])/3 - (305*s[74])/12 + (305*s[75])/12 - 
       21*s[76] - (25*s[77])/6 + (77*s[78])/3 + 400*s[79] - (505*s[80])/6 + 
       374*s[82] + (5*s[83])/2 + 195*s[84] + 108*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v]*
      ((-20*s[2])/3 + 63*s[3] + (341*s[4])/12 + (1029*s[5])/11 + 
       (3221*s[6])/11 + (3570535*s[7])/2376 - (21187*s[8])/891 - 
       (373493*s[9])/324 - (136691*s[10])/162 - (1692809*s[11])/1188 - 
       (2601455*s[12])/2376 - (57503*s[13])/88 - (3393073*s[14])/2376 - 
       (202931*s[15])/72 - (1275113*s[16])/396 - (4530649*s[17])/1188 - 
       (40019*s[18])/486 - (607673*s[19])/972 - (21264439*s[20])/5346 - 
       (30293035*s[21])/21384 + (15341357*s[22])/21384 - (449981*s[23])/264 + 
       (54597623*s[24])/21384 - (291702685*s[25])/192456 + 
       (201740665*s[26])/192456 + 2*s[27] - (32*s[31])/3 - 2*s[33] + 
       (68*s[34])/3 + 28*s[35] + (296*s[36])/9 - (248*s[37])/9 - 
       (277*s[38])/3 + (5015*s[39])/12 - (13445*s[40])/36 + (2861*s[41])/12 - 
       (24385*s[42])/36 - (41191*s[43])/396 + (62003*s[44])/792 + 
       (169075*s[45])/396 - (37652*s[46])/33 - (1018669*s[47])/2376 + 
       (1778213*s[48])/2376 + (876049*s[49])/2376 + (110387*s[50])/99 - 
       (826805*s[51])/2376 - (1208921*s[52])/2376 - (98938*s[53])/99 + 
       (557*s[54])/66 - (2160629*s[55])/264 - (5462821*s[56])/2376 - 
       (7979023*s[57])/891 + (14819467*s[58])/21384 - (9192055*s[59])/21384 + 
       (207062387*s[60])/14256 - (54901229*s[61])/48114 - 4*s[62] - 
       (28*s[68])/3 + (28*s[69])/3 - 2*s[71] + (14*s[74])/3 - (14*s[75])/3 + 
       (32*s[76])/3 - (28*s[77])/3 - (56*s[78])/3 + (128*s[79])/3 - 
       (346*s[80])/9 + 722*s[82] + 112*s[85]) + HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u]*
      ((68*s[2])/3 + (296*s[3])/3 + (1183*s[4])/12 + (12791*s[5])/66 + 
       (15998*s[6])/33 + (7118917*s[7])/2376 - (35564*s[8])/297 - 
       (259789*s[9])/108 - (30224*s[10])/27 - (102781*s[11])/33 - 
       (2376109*s[12])/792 - (4293995*s[13])/2376 - (135013*s[14])/88 - 
       (1020223*s[15])/216 - (1678246*s[16])/297 - (6516065*s[17])/1188 - 
       (41837*s[18])/108 - (13337*s[19])/18 - (2066071*s[20])/297 - 
       (18150685*s[21])/7128 + (10559701*s[22])/7128 + (1516627*s[23])/2376 + 
       (29122129*s[24])/7128 - (238675447*s[25])/64152 + 
       (147920437*s[26])/64152 + (4*s[32])/3 + (16*s[34])/3 + (32*s[36])/9 - 
       (160*s[37])/9 - (95*s[38])/3 + (1163*s[39])/12 - (1169*s[40])/36 - 
       (67*s[41])/12 - (8581*s[42])/36 + (84461*s[43])/396 - 
       (215053*s[44])/792 + (294713*s[45])/396 - (670583*s[46])/198 - 
       (776605*s[47])/2376 + (1708229*s[48])/2376 - (2478989*s[49])/2376 + 
       (261290*s[50])/99 - (387011*s[51])/2376 - (642281*s[52])/2376 - 
       (1286215*s[53])/594 - (2683*s[54])/99 - (12422323*s[55])/792 - 
       (3150205*s[56])/792 - (471403*s[57])/66 - (19227529*s[58])/7128 + 
       (23563033*s[59])/7128 + (461710901*s[60])/14256 - 
       (31112339*s[61])/16038 - (28*s[68])/3 + (28*s[69])/3 - (28*s[77])/3 - 
       (32*s[80])/9 + 722*s[82] + 112*s[85]) + HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*((293*s[2])/12 + 
       (2203*s[3])/24 - (36743*s[4])/48 - (174385*s[5])/264 - 
       (731231*s[6])/528 - (111314431*s[7])/9504 + (16421261*s[8])/14256 + 
       (1595855*s[9])/162 + (774005*s[10])/324 + (121312385*s[11])/9504 + 
       (16693907*s[12])/1188 + (79928011*s[13])/9504 + (8166317*s[14])/9504 + 
       (13393337*s[15])/864 + (11387245*s[16])/594 + (45830341*s[17])/3168 + 
       (2363543*s[18])/972 + (4161637*s[19])/3888 + (952970305*s[20])/42768 + 
       (723081119*s[21])/85536 - (521268127*s[22])/85536 - 
       (20536315*s[23])/1188 - (244391329*s[24])/21384 + 
       (6319698601*s[25])/384912 - (3529135993*s[26])/384912 + s[28]/2 + 
       16*s[29] - (11*s[30])/2 + (17*s[31])/3 - (35*s[32])/6 + 
       (11*s[33])/12 + (181*s[34])/6 + (139*s[35])/6 + (869*s[36])/18 - 
       (2399*s[37])/36 - (1723*s[38])/3 + (27445*s[39])/12 - 
       (84421*s[40])/36 + (22589*s[41])/12 - (122237*s[42])/36 - 
       (756509*s[43])/396 + (2844689*s[44])/1584 - (1646011*s[45])/792 + 
       (13357451*s[46])/792 - (4698751*s[47])/4752 + (1624709*s[48])/4752 + 
       (38546305*s[49])/4752 - (4979921*s[50])/396 - (10527371*s[51])/4752 - 
       (8592125*s[52])/4752 + (5609497*s[53])/594 - (445541*s[54])/396 + 
       (92337161*s[55])/1584 + (8227399*s[56])/528 - (37467365*s[57])/2376 + 
       (376946281*s[58])/14256 - (393898171*s[59])/14256 - 
       (3731143417*s[60])/28512 + (314143435*s[61])/42768 + 6*s[62] - 
       s[64]/2 + (7*s[65])/6 + (8*s[66])/3 - (19*s[67])/3 - (16*s[68])/3 - 
       (16*s[69])/3 + (77*s[70])/3 + (53*s[71])/6 - (67*s[72])/3 - s[73] + 
       (61*s[74])/4 - (79*s[75])/4 + (56*s[76])/3 - (167*s[77])/6 - 
       (121*s[78])/3 + (40*s[79])/3 - (1601*s[80])/18 - s[81]/6 + 748*s[82] - 
       (25*s[83])/2 - 57*s[84] + 112*s[85]) + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*(10*s[2] + (193*s[3])/2 + 
       (4213*s[4])/2 + (69427*s[5])/66 + (104873*s[6])/33 + 
       (69441979*s[7])/2376 - (9752509*s[8])/3564 - (3942907*s[9])/162 - 
       (2329699*s[10])/324 - (9625136*s[11])/297 - (42949741*s[12])/1188 - 
       (8643095*s[13])/396 - (2305349*s[14])/1188 - (2741101*s[15])/72 - 
       (38769725*s[16])/792 - (43038571*s[17])/1188 - (5017669*s[18])/972 - 
       (1074194*s[19])/243 - (150621656*s[20])/2673 - 
       (105211531*s[21])/5346 + (81879137*s[22])/5346 + 
       (29799977*s[23])/792 + (672172397*s[24])/21384 - 
       (8124955903*s[25])/192456 + (4280940883*s[26])/192456 - (26*s[29])/3 + 
       11*s[30] + (20*s[31])/3 - (2*s[32])/3 + (121*s[33])/12 - 
       (47*s[34])/3 - (68*s[35])/3 - (884*s[36])/9 + (667*s[37])/6 + 
       (3253*s[38])/3 - (13385*s[39])/3 + (44567*s[40])/9 - (7749*s[41])/2 + 
       (58303*s[42])/9 + (34073*s[43])/9 - (295825*s[44])/72 + 
       (50689*s[45])/12 - (1225421*s[46])/36 + (341765*s[47])/216 + 
       (65813*s[48])/216 - (3765083*s[49])/216 + (469939*s[50])/18 + 
       (958777*s[51])/216 + (768097*s[52])/216 - (488269*s[53])/27 + 
       (5872*s[54])/9 - (2737079*s[55])/24 - (6547409*s[56])/216 + 
       (5439317*s[57])/162 - (104655175*s[58])/1944 + 
       (105875809*s[59])/1944 + (358377083*s[60])/1296 - 
       (257912809*s[61])/17496 - (7*s[65])/3 - (28*s[66])/3 + (40*s[67])/3 + 
       (28*s[68])/3 + (52*s[69])/3 + (4*s[70])/3 + s[71]/3 + (76*s[72])/3 - 
       (56*s[73])/3 - 26*s[74] + 26*s[75] - (76*s[76])/3 - (32*s[77])/3 + 
       (130*s[78])/3 + 376*s[79] - (247*s[80])/3 + 372*s[82] + 7*s[83] + 
       166*s[84] + 112*s[85]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 
       1 - u]*((-20*s[2])/3 + (7*s[3])/2 + (20561*s[4])/12 + (3706*s[5])/3 + 
       (8623*s[6])/3 + (3059519*s[7])/108 - (770293*s[8])/324 - 
       (3882443*s[9])/162 - (2437595*s[10])/324 - (6687985*s[11])/216 - 
       (7309511*s[12])/216 - (362453*s[13])/18 - (358163*s[14])/108 - 
       (1365593*s[15])/36 - (190929*s[16])/4 - (7968425*s[17])/216 - 
       (1235537*s[18])/243 - (4323547*s[19])/972 - (54649955*s[20])/972 - 
       (19506179*s[21])/972 + (14488675*s[22])/972 + (2313433*s[23])/72 + 
       (60362729*s[24])/1944 - (691633819*s[25])/17496 + 
       (375540589*s[26])/17496 - 4*s[29] + 4*s[30] + (22*s[31])/3 - 
       (25*s[32])/6 - (26*s[33])/3 - (26*s[34])/3 - (44*s[35])/3 - 
       (641*s[36])/9 + (137*s[37])/2 + (2929*s[38])/3 - (46939*s[39])/12 + 
       (156725*s[40])/36 - (14005*s[41])/4 + (51133*s[42])/9 + 
       (1349215*s[43])/396 - (2821895*s[44])/792 + (542801*s[45])/132 - 
       (6253001*s[46])/198 + (3378109*s[47])/2376 + (426787*s[48])/2376 - 
       (37097197*s[49])/2376 + (4887233*s[50])/198 + (9599021*s[51])/2376 + 
       (7516913*s[52])/2376 - (5081150*s[53])/297 + (104239*s[54])/198 - 
       (85942039*s[55])/792 - (66510991*s[56])/2376 + (89669951*s[57])/3564 - 
       (1033321529*s[58])/21384 + (1051015637*s[59])/21384 + 
       (3704452861*s[60])/14256 - (331646065*s[61])/24057 - s[65]/3 - 
       (4*s[66])/3 + (14*s[67])/3 + (44*s[68])/3 + (20*s[69])/3 + 
       (8*s[70])/3 - (5*s[71])/3 + (40*s[72])/3 - (20*s[73])/3 - 
       (56*s[74])/3 + (56*s[75])/3 - 18*s[76] + (22*s[77])/3 + (32*s[78])/3 + 
       364*s[79] - (257*s[80])/3 + 364*s[82] + s[83] + 174*s[84] + 
       112*s[85]) + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - u]*
      ((2*s[2])/3 - (131*s[3])/6 + (21313*s[4])/12 + (41842*s[5])/33 + 
       (101692*s[6])/33 + (35129251*s[7])/1188 - (4394435*s[8])/1782 - 
       (8105855*s[9])/324 - (1267823*s[10])/162 - (38547557*s[11])/1188 - 
       (84382523*s[12])/2376 - (50491379*s[13])/2376 - (8200369*s[14])/2376 - 
       (4257113*s[15])/108 - (118343963*s[16])/2376 - (3788302*s[17])/99 - 
       (2552027*s[18])/486 - (2215585*s[19])/486 - (156718523*s[20])/2673 - 
       (449517097*s[21])/21384 + (333317885*s[22])/21384 + 
       (40057085*s[23])/1188 + (346864351*s[24])/10692 - 
       (7967008087*s[25])/192456 + (4334503885*s[26])/192456 - 4*s[29] + 
       4*s[30] + (38*s[31])/3 - (41*s[32])/6 + (20*s[33])/3 - (58*s[34])/3 - 
       (52*s[35])/3 - (665*s[36])/9 + (1097*s[37])/18 + (3137*s[38])/3 - 
       (49955*s[39])/12 + (166325*s[40])/36 - (44311*s[41])/12 + 
       (54199*s[42])/9 + (1457575*s[43])/396 - (760457*s[44])/198 + 
       (1651939*s[45])/396 - (6530461*s[46])/198 + (422009*s[47])/297 + 
       (469775*s[48])/1188 - (19996355*s[49])/1188 + (5073605*s[50])/198 + 
       (2490737*s[51])/594 + (3905239*s[52])/1188 - (21058915*s[53])/1188 + 
       (34609*s[54])/99 - (44428699*s[55])/396 - (1276457*s[56])/44 + 
       (33037211*s[57])/1188 - (90486403*s[58])/1782 + (46092245*s[59])/891 + 
       (967369375*s[60])/3564 - (75808991*s[61])/5346 - s[65]/3 - 
       (4*s[66])/3 + (14*s[67])/3 + (44*s[68])/3 + (20*s[69])/3 + 
       (8*s[70])/3 - (5*s[71])/3 + (56*s[72])/3 - 12*s[73] - 20*s[74] + 
       20*s[75] - (70*s[76])/3 + (14*s[77])/3 + (80*s[78])/3 + 
       (1156*s[79])/3 - (763*s[80])/9 + 364*s[82] + s[83] + 174*s[84] + 
       112*s[85]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - v]*
      (-6*s[1] - (109*s[2])/6 + (95*s[3])/2 + (21047*s[4])/12 + 
       (176291*s[5])/132 + (408773*s[6])/132 + (8642671*s[7])/297 - 
       (4276435*s[8])/1782 - (1990810*s[9])/81 - (624023*s[10])/81 - 
       (75742277*s[11])/2376 - (82677079*s[12])/2376 - (684668*s[13])/33 - 
       (4358287*s[14])/1188 - (1401253*s[15])/36 - (4863616*s[16])/99 - 
       (90271771*s[17])/2376 - (2582011*s[18])/486 - (4324063*s[19])/972 - 
       (619904311*s[20])/10692 - (112160699*s[21])/5346 + 
       (163397081*s[22])/10692 + (2930603*s[23])/88 + 
       (681397813*s[24])/21384 - (1951888601*s[25])/48114 + 
       (2145896635*s[26])/96228 - 4*s[27] - 4*s[29] + 4*s[30] - 
       (41*s[31])/3 - (5*s[32])/3 - (365*s[33])/12 + (22*s[34])/3 + 
       (64*s[35])/3 - (884*s[36])/9 + (533*s[37])/6 + (3100*s[38])/3 - 
       (24263*s[39])/6 + (80923*s[40])/18 - (7095*s[41])/2 + 
       (209635*s[42])/36 + (714599*s[43])/198 - (369838*s[44])/99 + 
       (46337*s[45])/11 - (6425159*s[46])/198 + (398885*s[47])/297 + 
       (268879*s[48])/594 - (19453085*s[49])/1188 + (4967513*s[50])/198 + 
       (4811701*s[51])/1188 + (961663*s[52])/297 - (5186690*s[53])/297 + 
       (82651*s[54])/198 - (43885151*s[55])/396 - (34148825*s[56])/1188 + 
       (23685935*s[57])/891 - (266718293*s[58])/5346 + 
       (271647989*s[59])/5346 + (1902296369*s[60])/7128 - 
       (338951533*s[61])/24057 + 8*s[62] - s[65]/3 - (4*s[66])/3 + 
       (14*s[67])/3 + (35*s[68])/3 + (11*s[69])/3 + (8*s[70])/3 - 
       (5*s[71])/3 + (40*s[72])/3 - (20*s[73])/3 - (56*s[74])/3 + 
       (56*s[75])/3 + 3*s[76] + (13*s[77])/3 + (14*s[78])/3 + 320*s[79] - 
       70*s[80] + 364*s[82] + s[83] + 174*s[84] + 112*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((40*s[2])/3 + (13*s[3])/2 + (10645*s[4])/6 + (42035*s[5])/33 + 
       (406859*s[6])/132 + (68941091*s[7])/2376 - (4317223*s[8])/1782 - 
       (3963053*s[9])/162 - (2477579*s[10])/324 - (37853269*s[11])/1188 - 
       (82836073*s[12])/2376 - (5535193*s[13])/264 - (7883093*s[14])/2376 - 
       (2781455*s[15])/72 - (19358929*s[16])/396 - (22308241*s[17])/594 - 
       (4940201*s[18])/972 - (1116586*s[19])/243 - (153243553*s[20])/2673 - 
       (439072763*s[21])/21384 + (326262037*s[22])/21384 + 
       (2899825*s[23])/88 + (683741539*s[24])/21384 - 
       (7851413483*s[25])/192456 + (4259200985*s[26])/192456 - 4*s[29] - 
       s[30] + (22*s[31])/3 - (5*s[32])/3 - (26*s[33])/3 - (26*s[34])/3 + 
       (52*s[35])/3 - (884*s[36])/9 + (533*s[37])/6 + (3100*s[38])/3 - 
       (24263*s[39])/6 + (80887*s[40])/18 - (7095*s[41])/2 + 
       (209635*s[42])/36 + (714599*s[43])/198 - (369838*s[44])/99 + 
       (46315*s[45])/11 - (6425159*s[46])/198 + (398885*s[47])/297 + 
       (268879*s[48])/594 - (19453085*s[49])/1188 + (4967513*s[50])/198 + 
       (4811701*s[51])/1188 + (961663*s[52])/297 - (5186690*s[53])/297 + 
       (84235*s[54])/198 - (43887527*s[55])/396 - (34144073*s[56])/1188 + 
       (23710883*s[57])/891 - (266825213*s[58])/5346 + 
       (271754909*s[59])/5346 + (1902149057*s[60])/7128 - 
       (339058453*s[61])/24057 + 8*s[62] - s[65]/3 - (4*s[66])/3 + 
       (14*s[67])/3 + (35*s[68])/3 + (35*s[69])/3 + (8*s[70])/3 - 
       (5*s[71])/3 + (40*s[72])/3 - (20*s[73])/3 - (56*s[74])/3 + 
       (56*s[75])/3 + 3*s[76] + (13*s[77])/3 + (14*s[78])/3 + 320*s[79] - 
       70*s[80] + 364*s[82] + s[83] + 174*s[84] + 112*s[85]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - v]*(-8*s[1] - (5*s[2])/6 + 
       (145*s[3])/6 + (21223*s[4])/12 + (189715*s[5])/132 + 
       (421033*s[6])/132 + (18031397*s[7])/594 - (8794429*s[8])/3564 - 
       (8338121*s[9])/324 - (2626327*s[10])/324 - (19655983*s[11])/594 - 
       (85377989*s[12])/2376 - (50611463*s[13])/2376 - (9854485*s[14])/2376 - 
       (4416869*s[15])/108 - (121769585*s[16])/2376 - (3960212*s[17])/99 - 
       (1369444*s[18])/243 - (2187223*s[19])/486 - (325555381*s[20])/5346 - 
       (473802955*s[21])/21384 + (341076293*s[22])/21384 + 
       (40864049*s[23])/1188 + (88372717*s[24])/2673 - 
       (4034226737*s[25])/96228 + (1118974753*s[26])/48114 - 4*s[27] - 
       4*s[29] + 4*s[30] - (25*s[31])/3 - (13*s[32])/3 - (181*s[33])/12 - 
       (10*s[34])/3 - (4*s[35])/3 - (908*s[36])/9 + (1463*s[37])/18 + 
       (3128*s[38])/3 - (25051*s[39])/6 + (83491*s[40])/18 - 
       (22061*s[41])/6 + (217507*s[42])/36 + (741167*s[43])/198 - 
       (3033917*s[44])/792 + (432439*s[45])/99 - (6669427*s[46])/198 + 
       (3366883*s[47])/2376 + (782455*s[48])/2376 - (40103347*s[49])/2376 + 
       (5163605*s[50])/198 + (9965297*s[51])/2376 + (7926533*s[52])/2376 - 
       (21691963*s[53])/1188 + (49231*s[54])/99 - (91710317*s[55])/792 - 
       (23634563*s[56])/792 + (5207711*s[57])/198 - (366047573*s[58])/7128 + 
       (374457869*s[59])/7128 + (3944550001*s[60])/14256 - 
       (234190525*s[61])/16038 + 8*s[62] - s[65]/3 - (4*s[66])/3 + 
       (14*s[67])/3 + (35*s[68])/3 + (11*s[69])/3 + (8*s[70])/3 - 
       (5*s[71])/3 + (56*s[72])/3 - 12*s[73] - 20*s[74] + 20*s[75] - 
       (7*s[76])/3 + (5*s[77])/3 + (62*s[78])/3 + (1024*s[79])/3 - 
       (622*s[80])/9 + 364*s[82] + s[83] + 174*s[84] + 112*s[85]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      ((92*s[2])/3 - (161*s[3])/6 + (10865*s[4])/6 + (43327*s[5])/33 + 
       (421255*s[6])/132 + (71475311*s[7])/2376 - (8909485*s[8])/3564 - 
       (8233163*s[9])/324 - (1287923*s[10])/162 - (78477385*s[11])/2376 - 
       (85795319*s[12])/2376 - (6453838*s[13])/297 - (2079157*s[14])/594 - 
       (8657113*s[15])/216 - (120398543*s[16])/2376 - (30834427*s[17])/792 - 
       (5127163*s[18])/972 - (4568999*s[19])/972 - (636496463*s[20])/10692 - 
       (228674609*s[21])/10692 + (42350158*s[22])/2673 + 
       (20204383*s[23])/594 + (353860615*s[24])/10692 - 
       (8126689081*s[25])/192456 + (4423216135*s[26])/192456 - 4*s[29] - 
       s[30] + (38*s[31])/3 - (13*s[32])/3 + (20*s[33])/3 - (58*s[34])/3 + 
       (44*s[35])/3 - (908*s[36])/9 + (1463*s[37])/18 + (3188*s[38])/3 - 
       (25291*s[39])/6 + (84211*s[40])/18 - (22169*s[41])/6 + 
       (218875*s[42])/36 + (747251*s[43])/198 - (3086477*s[44])/792 + 
       (426193*s[45])/99 - (6649195*s[46])/198 + (3308851*s[47])/2376 + 
       (1071319*s[48])/2376 - (40662643*s[49])/2376 + (5139341*s[50])/198 + 
       (9947009*s[51])/2376 + (7925813*s[52])/2376 - (21466531*s[53])/1188 + 
       (35335*s[54])/99 - (90728333*s[55])/792 - (23470115*s[56])/792 + 
       (5500007*s[57])/198 - (368156597*s[58])/7128 + 
       (375845885*s[59])/7128 + (3936153505*s[60])/14256 - 
       (232186189*s[61])/16038 + 8*s[62] - s[65]/3 - (4*s[66])/3 + 
       (14*s[67])/3 + (35*s[68])/3 + (35*s[69])/3 + (8*s[70])/3 - 
       (5*s[71])/3 + (56*s[72])/3 - 12*s[73] - 20*s[74] + 20*s[75] - 
       (7*s[76])/3 + (5*s[77])/3 + (62*s[78])/3 + (1024*s[79])/3 - 
       (622*s[80])/9 + 364*s[82] + s[83] + 174*s[84] + 112*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Omega2[u, v, w]*
      (13*s[2] + (101*s[3])/2 + (5861*s[4])/6 + (16095*s[5])/22 + 
       (20346*s[6])/11 + (13127573*s[7])/792 - (261061*s[8])/198 - 
       (503755*s[9])/36 - (161213*s[10])/36 - (799349*s[11])/44 - 
       (2609767*s[12])/132 - (4691279*s[13])/396 - (100811*s[14])/44 - 
       (1593515*s[15])/72 - (22227397*s[16])/792 - (2160019*s[17])/99 - 
       (82207*s[18])/27 - (134893*s[19])/54 - (19709593*s[20])/594 - 
       (530049*s[21])/44 + (10341563*s[22])/1188 + (14733299*s[23])/792 + 
       (43240447*s[24])/2376 - (20532716*s[25])/891 + (11346965*s[26])/891 + 
       2*s[30] + 4*s[31] - s[32]/2 + 2*s[33] - 4*s[34] - (8*s[35])/3 - 
       (110*s[36])/3 + 28*s[37] + (3317*s[38])/6 - (26833*s[39])/12 + 
       (10099*s[40])/4 - (7997*s[41])/4 + (19249*s[42])/6 + 
       (273881*s[43])/132 - (71422*s[44])/33 + (328021*s[45])/132 - 
       (623167*s[46])/33 + (82193*s[47])/132 + (17867*s[48])/33 - 
       (415383*s[49])/44 + (160826*s[50])/11 + (217495*s[51])/99 + 
       (230413*s[52])/132 - (446813*s[53])/44 + (5072*s[54])/33 - 
       (712102*s[55])/11 - (743617*s[56])/44 + (5630309*s[57])/396 - 
       (8520229*s[58])/297 + (17331113*s[59])/594 + (15449410*s[60])/99 - 
       (89176471*s[61])/10692 - 2*s[68] + 2*s[69] - 2*s[71] + 8*s[72] + 
       2*s[73] - (28*s[74])/3 + (28*s[75])/3 - (32*s[76])/3 - (14*s[77])/3 + 
       8*s[78] + 200*s[79] - 40*s[80] + 403*s[82] + 96*s[84] + 116*s[85]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      ((57*s[2])/4 + (109*s[3])/12 + (73829*s[4])/48 + (407179*s[5])/396 + 
       (4291855*s[6])/1584 + (178411019*s[7])/7128 - (87831785*s[8])/42768 - 
       (81742159*s[9])/3888 - (3203659*s[10])/486 - (99377029*s[11])/3564 - 
       (110150147*s[12])/3564 - (22114859*s[13])/1188 - 
       (19366469*s[14])/7128 - (4681987*s[15])/144 - (463517*s[16])/11 - 
       (448310273*s[17])/14256 - (12809951*s[18])/2916 - 
       (46745191*s[19])/11664 - (6340212211*s[20])/128304 - 
       (2261842861*s[21])/128304 + (1694348159*s[22])/128304 + 
       (135445639*s[23])/4752 + (895635299*s[24])/32076 - 
       (82340821649*s[25])/2309472 + (44349739697*s[26])/2309472 + s[27]/2 + 
       s[28]/2 - (82*s[29])/9 - (7*s[30])/12 + (25*s[31])/9 - (7*s[32])/9 - 
       (727*s[33])/144 - (91*s[34])/36 - (202*s[35])/9 - (2705*s[36])/54 + 
       (709*s[37])/72 + (7658*s[38])/9 - (55739*s[39])/18 + 
       (93079*s[40])/27 - (8188*s[41])/3 + (940699*s[42])/216 + 
       (76951*s[43])/27 - (2570573*s[44])/864 + (403927*s[45])/144 - 
       (9996139*s[46])/432 + (2220151*s[47])/2592 + (2203999*s[48])/2592 - 
       (34025497*s[49])/2592 + (3845945*s[50])/216 + (7686431*s[51])/2592 + 
       (6063989*s[52])/2592 - (15579869*s[53])/1296 - (59381*s[54])/216 - 
       (21841507*s[55])/288 - (50867827*s[56])/2592 + (86331737*s[57])/3888 - 
       (842800289*s[58])/23328 + (858115589*s[59])/23328 + 
       (2985481129*s[60])/15552 - (1009987207*s[61])/104976 - (3*s[64])/4 - 
       (47*s[65])/36 - (20*s[66])/9 + (211*s[67])/18 + (80*s[68])/9 + 
       (253*s[69])/18 + (56*s[70])/9 - (19*s[71])/9 + (41*s[72])/9 - 
       (79*s[73])/9 - 13*s[74] + (53*s[75])/4 - (73*s[76])/18 - (4*s[77])/9 + 
       (11*s[78])/9 + 190*s[79] - (427*s[80])/12 + 208*s[82] + 
       (29*s[83])/12 + (727*s[84])/6 + (356*s[85])/3) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      (s[2] + 87*s[3] + (383*s[4])/4 + (1707*s[5])/11 + (63133*s[6])/176 + 
       (66097*s[7])/22 - (201719*s[8])/1584 - (359011*s[9])/144 - 
       (91183*s[10])/72 - (3262505*s[11])/1056 - (3130267*s[12])/1056 - 
       (53029*s[13])/33 - (85271*s[14])/66 - (112715*s[15])/24 - 
       (2981707*s[16])/528 - (5721365*s[17])/1056 - (224459*s[18])/432 - 
       (324043*s[19])/432 - (16666259*s[20])/2376 - (3062947*s[21])/1188 + 
       (7202291*s[22])/4752 + (956155*s[23])/1056 + (37137571*s[24])/9504 - 
       (306141965*s[25])/85536 + (192126653*s[26])/85536 - 8*s[31] - 
       3*s[32] - 6*s[33] + 16*s[34] + 16*s[35] + (28*s[36])/3 - 
       (293*s[37])/6 - 21*s[38] + (403*s[39])/8 + (295*s[40])/24 - 
       (217*s[41])/4 - (781*s[42])/6 + (54881*s[43])/264 - 
       (52691*s[44])/264 + (163765*s[45])/264 - (137697*s[46])/44 - 
       (58085*s[47])/198 + (514483*s[48])/792 - (858193*s[49])/792 + 
       (179873*s[50])/66 - (12439*s[51])/198 - (65531*s[52])/396 - 
       (515413*s[53])/264 - (8559*s[54])/22 - (599057*s[55])/44 - 
       (306217*s[56])/99 - (1639871*s[57])/297 - (18943465*s[58])/7128 + 
       (2616530*s[59])/891 + (143738299*s[60])/4752 - 
       (225392801*s[61])/128304 - 10*s[68] + 10*s[69] + 2*s[74] - 2*s[75] + 
       8*s[76] - 10*s[77] - 8*s[78] + 16*s[79] - (56*s[80])/3 + 606*s[82] + 
       120*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u]*((25*s[2])/4 + (489*s[3])/4 - (2319*s[4])/4 - 
       (120661*s[5])/176 - (214393*s[6])/176 - (4166113*s[7])/396 + 
       (3779869*s[8])/4752 + (3939599*s[9])/432 + (948931*s[10])/432 + 
       (18189005*s[11])/1584 + (19875139*s[12])/1584 + (5970731*s[13])/792 + 
       (1036873*s[14])/792 + (2008559*s[15])/144 + (6771931*s[16])/396 + 
       (3396409*s[17])/264 + (3153253*s[18])/1296 + (418387*s[19])/648 + 
       (147617935*s[20])/7128 + (119610299*s[21])/14256 - 
       (9957887*s[22])/1782 - (11960407*s[23])/792 - (72823193*s[24])/7128 + 
       (3672106489*s[25])/256608 - (2189597221*s[26])/256608 - 6*s[29] - 
       20*s[31] - (15*s[32])/2 - (151*s[33])/8 + 37*s[34] - 8*s[35] + 
       (437*s[36])/12 - (271*s[37])/3 - (2217*s[38])/4 + (32691*s[39])/16 - 
       (101861*s[40])/48 + (26873*s[41])/16 - (146347*s[42])/48 - 
       (79901*s[43])/48 + (138823*s[44])/96 - (32311*s[45])/24 + 
       (595165*s[46])/48 - (306605*s[47])/288 + (170353*s[48])/288 + 
       (1880423*s[49])/288 - (107171*s[50])/12 - (583363*s[51])/288 - 
       (515869*s[52])/288 + (935819*s[53])/144 - (31771*s[54])/24 + 
       (3826429*s[55])/96 + (356493*s[56])/32 - (693781*s[57])/36 + 
       (18658745*s[58])/864 - (19133267*s[59])/864 - (162735317*s[60])/1728 + 
       (4343041*s[61])/864 - 2*s[65] - 8*s[66] + 10*s[67] - 5*s[68] + 
       25*s[69] + 13*s[70] + (29*s[71])/4 - 8*s[72] - 16*s[73] - 
       (3*s[74])/4 - (45*s[75])/4 + 28*s[76] - 20*s[77] - 5*s[78] - 
       64*s[79] - (361*s[80])/6 + 825*s[82] - (15*s[83])/2 - 27*s[84] + 
       120*s[85]) + HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      (68*s[2] - (175*s[3])/2 + 745*s[4] + (71987*s[5])/44 + 
       (127753*s[6])/44 + (6662405*s[7])/264 - (670451*s[8])/594 - 
       (2399729*s[9])/108 - (206470*s[10])/27 - (5405083*s[11])/198 - 
       (2816200*s[12])/99 - (1700474*s[13])/99 - (1370647*s[14])/198 - 
       (2493077*s[15])/72 - (34023529*s[16])/792 - (3525767*s[17])/99 - 
       (388927*s[18])/81 - (593077*s[19])/162 - (47891420*s[20])/891 - 
       (37386733*s[21])/1782 + (48076693*s[22])/3564 + (15744293*s[23])/792 + 
       (205978967*s[24])/7128 - (1052112773*s[25])/32076 + 
       (637178843*s[26])/32076 + 30*s[29] - 15*s[30] + 24*s[31] + 2*s[32] + 
       (13*s[33])/4 - 9*s[34] + 25*s[36] + (230*s[37])/3 + 763*s[38] - 
       (10905*s[39])/4 + (12797*s[40])/4 - (9747*s[41])/4 + (15105*s[42])/4 + 
       (121967*s[43])/44 - (59639*s[44])/22 + (106070*s[45])/33 - 
       (3097103*s[46])/132 + (28189*s[47])/44 + (22427*s[48])/22 - 
       (523775*s[49])/44 + (394921*s[50])/22 + (58501*s[51])/22 + 
       (99709*s[52])/44 - (2388137*s[53])/198 + (16477*s[54])/33 - 
       (10452667*s[55])/132 - (8343149*s[56])/396 + (5312786*s[57])/297 - 
       (64109423*s[58])/1782 + (128286319*s[59])/3564 + 
       (156967453*s[60])/792 - (647151203*s[61])/64152 - s[64] + 9*s[65] + 
       42*s[66] - 36*s[67] - 28*s[68] - 76*s[69] + 18*s[70] - 9*s[71] - 
       16*s[72] + 20*s[73] + 9*s[74] - 11*s[75] - 30*s[76] + 8*s[77] - 
       90*s[78] + 452*s[79] - (344*s[80])/3 + 516*s[82] - 33*s[83] + 
       186*s[84] + 120*s[85]) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*((533*s[2])/24 - (9*s[3])/16 + 
       (531389*s[4])/288 + (309911*s[5])/264 + (3289895*s[6])/1056 + 
       (543205331*s[7])/19008 - (23919655*s[8])/9504 - (2594587*s[9])/108 - 
       (3136943*s[10])/432 - (199737421*s[11])/6336 - 
       (110331401*s[12])/3168 - (398207431*s[13])/19008 - 
       (18437227*s[14])/6336 - (64827545*s[15])/1728 - 
       (227897317*s[16])/4752 - (688465649*s[17])/19008 - 
       (551245*s[18])/108 - (3658091*s[19])/864 - (532534537*s[20])/9504 - 
       (1136084453*s[21])/57024 + (857637269*s[22])/57024 + 
       (327329401*s[23])/9504 + (884742517*s[24])/28512 - 
       (10402606735*s[25])/256608 + (5593790347*s[26])/256608 - 8*s[29] + 
       (19*s[30])/4 + (47*s[31])/6 - (17*s[32])/3 + (47*s[33])/6 - 
       (83*s[34])/12 - (233*s[35])/12 - (1351*s[36])/18 + (427*s[37])/4 + 
       (36565*s[38])/36 - (66537*s[39])/16 + (667841*s[40])/144 - 
       (522973*s[41])/144 + (96967*s[42])/16 + (617775*s[43])/176 - 
       (3005539*s[44])/792 + (259111*s[45])/66 - (5567385*s[46])/176 + 
       (1223833*s[47])/792 + (306923*s[48])/1584 - (12702785*s[49])/792 + 
       (4813037*s[50])/198 + (20236063*s[51])/4752 + (1779223*s[52])/528 - 
       (19971037*s[53])/1188 + (652027*s[54])/792 - (167746607*s[55])/1584 - 
       (67163629*s[56])/2376 + (451415369*s[57])/14256 - 
       (536515021*s[58])/10692 + (2162877655*s[59])/42768 + 
       (25447387*s[60])/99 - (10571138165*s[61])/769824 - 2*s[63] - s[64]/2 - 
       (19*s[65])/12 - (11*s[66])/6 + (55*s[67])/6 + (35*s[68])/3 + 
       (23*s[69])/3 + (31*s[70])/6 + (7*s[71])/12 + (95*s[72])/6 - 
       (175*s[73])/6 - (547*s[74])/24 + (529*s[75])/24 - (39*s[76])/2 - 
       (95*s[77])/12 + (97*s[78])/6 + 403*s[79] - (655*s[80])/6 + 346*s[82] + 
       (7*s[83])/4 + (369*s[84])/2 + 124*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((619*s[2])/24 + (1745*s[3])/48 + (569437*s[4])/288 + 
       (705515*s[5])/528 + (1212373*s[6])/352 + (199838437*s[7])/6336 - 
       (25766087*s[8])/9504 - (5738059*s[9])/216 - (218278*s[10])/27 - 
       (220272175*s[11])/6336 - (60666035*s[12])/1584 - 
       (146025529*s[13])/6336 - (7120829*s[14])/2112 - (7980785*s[15])/192 - 
       (20963827*s[16])/396 - (254242489*s[17])/6336 - (3673211*s[18])/648 - 
       (12137107*s[19])/2592 - (1769638975*s[20])/28512 - 
       (1267316621*s[21])/57024 + (945676861*s[22])/57024 + 
       (59312069*s[23])/1584 + (244135643*s[24])/7128 - 
       (11442019195*s[25])/256608 + (6197496031*s[26])/256608 + s[28]/4 - 
       10*s[29] + (27*s[30])/4 + (67*s[31])/6 - (5*s[32])/6 + (89*s[33])/12 - 
       (247*s[34])/12 - (319*s[35])/12 - (3179*s[36])/36 + (2311*s[37])/24 + 
       (3413*s[38])/3 - (332275*s[39])/72 + (368861*s[40])/72 - 
       (72049*s[41])/18 + (53347*s[42])/8 + (3198301*s[43])/792 - 
       (13484903*s[44])/3168 + (7194419*s[45])/1584 - (56967011*s[46])/1584 + 
       (15166949*s[47])/9504 + (4438649*s[48])/9504 - 
       (174882803*s[49])/9504 + (5458693*s[50])/198 + (43501097*s[51])/9504 + 
       (34835491*s[52])/9504 - (22731641*s[53])/1188 + (484343*s[54])/792 - 
       (1149597881*s[55])/9504 - (101078167*s[56])/3168 + 
       (52174255*s[57])/1584 - (1601716987*s[58])/28512 + 
       (1623360265*s[59])/28512 + (16735085183*s[60])/57024 - 
       (3997872503*s[61])/256608 - (19*s[65])/12 - (10*s[66])/3 + 
       (55*s[67])/6 + (67*s[68])/6 + (67*s[69])/6 + (49*s[70])/6 - 
       (5*s[71])/12 + (115*s[72])/6 - (25*s[73])/2 - (191*s[74])/8 + 
       (191*s[75])/8 - (161*s[76])/6 - (121*s[77])/12 + (175*s[78])/6 + 
       (1102*s[79])/3 - (2869*s[80])/36 + 346*s[82] + (7*s[83])/4 + 
       (369*s[84])/2 + 124*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]^2*((323*s[2])/24 + (7043*s[3])/48 + 
       (66299*s[4])/32 + (224861*s[5])/176 + (1217521*s[6])/352 + 
       (594153031*s[7])/19008 - (76729891*s[8])/28512 - (8484163*s[9])/324 - 
       (10307321*s[10])/1296 - (656353231*s[11])/19008 - 
       (362118697*s[12])/9504 - (145809401*s[13])/6336 - 
       (58007233*s[14])/19008 - (2637211*s[15])/64 - (6938501*s[16])/132 - 
       (755341517*s[17])/19008 - (21547427*s[18])/3888 - 
       (37444763*s[19])/7776 - (5236294067*s[20])/85536 - 
       (3723541027*s[21])/171072 + (2801545067*s[22])/171072 + 
       (119599079*s[23])/3168 + (2921135551*s[24])/85536 - 
       (17134856929*s[25])/384912 + (2302756675*s[26])/96228 + s[28]/3 - 
       (3*s[29])/2 + (11*s[30])/4 + (23*s[31])/3 - (53*s[32])/6 - 
       (55*s[33])/12 - (115*s[34])/12 - (59*s[35])/4 - (2665*s[36])/36 + 
       (435*s[37])/4 + 1153*s[38] - (107965*s[39])/24 + (361853*s[40])/72 - 
       (23395*s[41])/6 + (928985*s[42])/144 + (3203185*s[43])/792 - 
       (13321597*s[44])/3168 + (617233*s[45])/132 - (28426399*s[46])/792 + 
       (13784909*s[47])/9504 + (6450329*s[48])/9504 - 
       (172918973*s[49])/9504 + (21764119*s[50])/792 + 
       (42068875*s[51])/9504 + (34082761*s[52])/9504 - 
       (45446309*s[53])/2376 + (264463*s[54])/396 - (128361919*s[55])/1056 - 
       (304938995*s[56])/9504 + (112640401*s[57])/3564 - 
       (4780965943*s[58])/85536 + (4851438391*s[59])/85536 + 
       (16775660399*s[60])/57024 - (3010997059*s[61])/192456 - (4*s[63])/3 + 
       s[64]/4 + (7*s[65])/12 - s[66]/3 - (5*s[67])/6 - (5*s[68])/6 - 
       (11*s[69])/2 + 14*s[70] - (55*s[71])/12 + (25*s[72])/2 - 
       (22*s[73])/3 - (409*s[74])/24 + (439*s[75])/24 - (76*s[76])/3 - 
       (281*s[77])/12 + (56*s[78])/3 + 364*s[79] - (119*s[80])/2 + 
       (895*s[82])/2 - s[83]/4 + 203*s[84] + 124*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((187*s[2])/12 + (1595*s[3])/36 + (82943*s[4])/72 + 
       (2577499*s[5])/3168 + (22867*s[6])/11 + (29905015*s[7])/1584 - 
       (22434659*s[8])/14256 - (20625475*s[9])/1296 - (12921049*s[10])/2592 - 
       (394519165*s[11])/19008 - (431775215*s[12])/19008 - 
       (129560969*s[13])/9504 - (5503973*s[14])/2376 - (21710323*s[15])/864 - 
       (151861813*s[16])/4752 - (468141079*s[17])/19008 - 
       (6559927*s[18])/1944 - (22543949*s[19])/7776 - 
       (3207810761*s[20])/85536 - (288157631*s[21])/21384 + 
       (849189091*s[22])/85536 + (414458273*s[23])/19008 + 
       (3548712917*s[24])/171072 - (20404652099*s[25])/769824 + 
       (5565960619*s[26])/384912 - s[29]/2 + (11*s[30])/3 + (17*s[31])/3 - 
       (46*s[32])/9 + (413*s[33])/48 - 4*s[34] - (5*s[35])/6 - 
       (749*s[36])/18 + (855*s[37])/16 + (24767*s[38])/36 - 
       (410449*s[39])/144 + (463289*s[40])/144 - 2524*s[41] + 
       (296333*s[42])/72 + (451415*s[43])/176 - (2878163*s[44])/1056 + 
       (9738601*s[45])/3168 - (24864707*s[46])/1056 + (4201775*s[47])/4752 + 
       (2504321*s[48])/4752 - (6997039*s[49])/594 + (28827965*s[50])/1584 + 
       (6608009*s[51])/2376 + (21051323*s[52])/9504 - (30050155*s[53])/2376 + 
       (456145*s[54])/1584 - (95658385*s[55])/1188 - (100547621*s[56])/4752 + 
       (273449975*s[57])/14256 - (3093958385*s[58])/85536 + 
       (1571719729*s[59])/42768 + (11058605773*s[60])/57024 - 
       (16040506381*s[61])/1539648 - s[65]/12 - s[66]/3 + (2*s[67])/3 + 
       (13*s[68])/36 + (11*s[69])/9 - (2*s[70])/3 - (7*s[71])/6 + 
       (23*s[72])/2 - (13*s[73])/4 - (23*s[74])/2 + (143*s[75])/12 - 
       (43*s[76])/3 - (149*s[77])/36 + (53*s[78])/4 + 271*s[79] - 
       (4967*s[80])/72 + (6773*s[82])/12 + s[83]/4 + (231*s[84])/2 + 
       (377*s[85])/3) + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*((443*s[2])/24 + (289*s[3])/16 + 
       (146081*s[4])/96 + (196197*s[5])/176 + (991411*s[6])/352 + 
       (480163861*s[7])/19008 - (59420167*s[8])/28512 - (13814615*s[9])/648 - 
       (2143205*s[10])/324 - (527167063*s[11])/19008 - 
       (36058211*s[12])/1188 - (115438399*s[13])/6336 - 
       (61825315*s[14])/19008 - (19235641*s[15])/576 - 
       (67322675*s[16])/1584 - (620199353*s[17])/19008 - 
       (4532837*s[18])/972 - (28348631*s[19])/7776 - (4290741671*s[20])/
        85536 - (3101911849*s[21])/171072 + (2273704937*s[22])/171072 + 
       (46058735*s[23])/1584 + (293851871*s[24])/10692 - 
       (27177764795*s[25])/769824 + (14892962939*s[26])/769824 - s[29] + 
       (7*s[30])/4 + (22*s[31])/3 - (2*s[32])/3 - (235*s[33])/24 - 
       (89*s[34])/12 - (197*s[35])/12 - (2255*s[36])/36 + (5441*s[37])/72 + 
       (10363*s[38])/12 - (13977*s[39])/4 + (70399*s[40])/18 - 
       (74215*s[41])/24 + (364793*s[42])/72 + (1223287*s[43])/396 - 
       (10326521*s[44])/3168 + (635687*s[45])/176 - (44645569*s[46])/1584 + 
       (11125975*s[47])/9504 + (4612039*s[48])/9504 - 
       (132826813*s[49])/9504 + (8576203*s[50])/396 + (33786215*s[51])/9504 + 
       (26872097*s[52])/9504 - (35697979*s[53])/2376 + (65633*s[54])/99 - 
       (301824749*s[55])/3168 - (242074975*s[56])/9504 + 
       (356012843*s[57])/14256 - (3755225015*s[58])/85536 + 
       (3784059701*s[59])/85536 + (13133604073*s[60])/57024 - 
       (9570203189*s[61])/769824 - s[64]/4 - s[65]/3 - (4*s[66])/3 + 
       (13*s[67])/6 + (23*s[68])/3 - (11*s[69])/6 + (11*s[70])/3 - 
       (5*s[71])/3 + (53*s[72])/6 - (31*s[73])/6 - (403*s[74])/24 + 
       (391*s[75])/24 - 12*s[76] + (85*s[77])/12 + (43*s[78])/6 + 326*s[79] - 
       (311*s[80])/4 + 423*s[82] - (5*s[83])/4 + (321*s[84])/2 + 126*s[85]) + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((727*s[2])/24 + (599*s[3])/48 + (423803*s[4])/288 + 
       (1650641*s[5])/1584 + (2856857*s[6])/1056 + (462535429*s[7])/19008 - 
       (57452191*s[8])/28512 - (13302533*s[9])/648 - (517853*s[10])/81 - 
       (507877159*s[11])/19008 - (17371105*s[12])/594 - 
       (111205343*s[13])/6336 - (58224163*s[14])/19008 - 
       (55738283*s[15])/1728 - (64963181*s[16])/1584 - 
       (597571265*s[17])/19008 - (8691913*s[18])/1944 - 
       (27233099*s[19])/7776 - (4136152631*s[20])/85536 - 
       (2989725553*s[21])/171072 + (2191136489*s[22])/171072 + 
       (44633423*s[23])/1584 + (283219649*s[24])/10692 - 
       (26198085527*s[25])/769824 + (14371911179*s[26])/769824 - 2*s[29] + 
       (7*s[30])/4 + (38*s[31])/3 - (23*s[32])/6 + (337*s[33])/24 - 
       (169*s[34])/12 - (265*s[35])/12 - (1853*s[36])/36 + (3821*s[37])/72 + 
       (28303*s[38])/36 - (29560*s[39])/9 + (14787*s[40])/4 - 
       (211883*s[41])/72 + (344837*s[42])/72 + (291781*s[43])/99 - 
       (9845657*s[44])/3168 + (5368285*s[45])/1584 - (42293359*s[46])/1584 + 
       (10007519*s[47])/9504 + (4728839*s[48])/9504 - 
       (126957593*s[49])/9504 + (4077449*s[50])/198 + (31408595*s[51])/9504 + 
       (24893233*s[52])/9504 - (34013467*s[53])/2376 + (110797*s[54])/198 - 
       (862942319*s[55])/9504 - (8476057*s[56])/352 + 
       (107220121*s[57])/4752 - (1175346269*s[58])/28512 + 
       (1191474923*s[59])/28512 + (12484099361*s[60])/57024 - 
       (334714753*s[61])/28512 - s[64]/4 - s[65]/3 + (2*s[66])/3 + s[67]/6 + 
       (14*s[68])/3 - (23*s[69])/6 + (11*s[70])/3 - (5*s[71])/3 + 
       (73*s[72])/6 - (11*s[73])/2 - (121*s[74])/8 + (117*s[75])/8 - 
       (43*s[76])/3 + (29*s[77])/12 + (97*s[78])/6 + (973*s[79])/3 - 
       (2779*s[80])/36 + (1279*s[82])/3 - (5*s[83])/4 + (321*s[84])/2 + 
       126*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*((107*s[2])/6 - (405*s[3])/8 + (45625*s[4])/48 + 
       (93385*s[5])/132 + (299443*s[6])/176 + (38672723*s[7])/2376 - 
       (357031*s[8])/297 - (6060065*s[9])/432 - (1849177*s[10])/432 - 
       (1586333*s[11])/88 - (7854823*s[12])/396 - (14252627*s[13])/1188 - 
       (1196215*s[14])/528 - (4563911*s[15])/216 - (129282971*s[16])/4752 - 
       (97178419*s[17])/4752 - (434245*s[18])/144 - (979189*s[19])/432 - 
       (51905677*s[20])/1584 - (85022081*s[21])/7128 + 
       (31101319*s[22])/3564 + (42913637*s[23])/2376 + 
       (253886503*s[24])/14256 - (2915717599*s[25])/128304 + 
       (1610106769*s[26])/128304 + (7*s[28])/2 + 4*s[29] + (7*s[30])/6 + 
       (29*s[31])/3 - (19*s[32])/3 + (21*s[33])/4 - 10*s[34] - (11*s[35])/9 - 
       (305*s[36])/9 + (787*s[37])/36 + (3845*s[38])/6 - (167945*s[39])/72 + 
       (64811*s[40])/24 - (19421*s[41])/9 + (40127*s[42])/12 + 
       (185443*s[43])/88 - (1159679*s[44])/528 + (878099*s[45])/396 - 
       (4657355*s[46])/264 + (3741377*s[47])/4752 + (1971983*s[48])/4752 - 
       (2795396*s[49])/297 + (898141*s[50])/66 + (5838353*s[51])/2376 + 
       (9343447*s[52])/4752 - (892876*s[53])/99 - (2833*s[54])/792 - 
       (10121483*s[55])/176 - (36344051*s[56])/2376 + (68976805*s[57])/3564 - 
       (76084070*s[58])/2673 + (606443557*s[59])/21384 + 
       (2082665371*s[60])/14256 - (1416979717*s[61])/192456 - 10*s[63] + 
       (4*s[65])/3 + (10*s[66])/3 - (11*s[67])/3 - (10*s[68])/3 - 3*s[69] + 
       (157*s[70])/3 - (35*s[71])/6 + 4*s[72] - 16*s[73] - (67*s[74])/9 + 
       (85*s[75])/9 - (62*s[76])/9 - (602*s[77])/9 - 8*s[78] + 
       (904*s[79])/3 - (899*s[80])/18 + (562*s[82])/3 - (31*s[83])/4 + 
       (241*s[84])/2 + (380*s[85])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*((241*s[2])/36 + (1085*s[3])/16 + 
       (332369*s[4])/288 + (27796*s[5])/33 + (841603*s[6])/396 + 
       (361552831*s[7])/19008 - (5569147*s[8])/3564 - (41565649*s[9])/2592 - 
       (6532999*s[10])/1296 - (198615895*s[11])/9504 - 
       (433906999*s[12])/19008 - (260450173*s[13])/19008 - 
       (46567613*s[14])/19008 - (43723237*s[15])/1728 - 
       (305869907*s[16])/9504 - (78802597*s[17])/3168 - 
       (13448839*s[18])/3888 - (22490197*s[19])/7776 - 
       (810003643*s[20])/21384 - (2338986887*s[21])/171072 + 
       (1708087333*s[22])/171072 + (413694935*s[23])/19008 + 
       (3567408499*s[24])/171072 - (41003961689*s[25])/1539648 + 
       (22476304289*s[26])/1539648 - s[29]/2 + (11*s[30])/3 + (29*s[31])/18 + 
       (77*s[33])/48 - (25*s[34])/18 + (43*s[35])/36 - (7789*s[36])/216 + 
       (11605*s[37])/216 + (8023*s[38])/12 - (263633*s[39])/96 + 
       (2665141*s[40])/864 - (232507*s[41])/96 + (3415379*s[42])/864 + 
       (23190623*s[43])/9504 - (49842259*s[44])/19008 + 
       (13938011*s[45])/4752 - (71182249*s[46])/3168 + 
       (49403375*s[47])/57024 + (26728349*s[48])/57024 - 
       (642397379*s[49])/57024 + (82331881*s[50])/4752 + 
       (153853531*s[51])/57024 + (121465117*s[52])/57024 - 
       (3572065*s[53])/297 + (97027*s[54])/396 - (1454989435*s[55])/19008 - 
       (1143720901*s[56])/57024 + (798040663*s[57])/42768 - 
       (17759734871*s[58])/513216 + (18000628025*s[59])/513216 + 
       (63193001393*s[60])/342144 - (45665593733*s[61])/4618944 - s[65]/12 - 
       s[66]/3 + (2*s[67])/3 + (5*s[68])/36 + (13*s[69])/9 - (2*s[70])/3 - 
       (17*s[71])/12 + (26*s[72])/3 + (25*s[73])/12 - (881*s[74])/72 + 
       (875*s[75])/72 - (106*s[76])/9 - (71*s[77])/18 + (325*s[78])/36 + 
       (2188*s[79])/9 - (6293*s[80])/108 + (6949*s[82])/12 + s[83]/4 + 
       (231*s[84])/2 + (385*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*((19*s[2])/2 + (415*s[3])/4 + 
       87*s[4] + (9923*s[5])/44 + (123935*s[6])/264 + (1535711*s[7])/396 - 
       (104245*s[8])/792 - (234377*s[9])/72 - (58013*s[10])/36 - 
       (2141395*s[11])/528 - (2076619*s[12])/528 - (431963*s[13])/198 - 
       (466427*s[14])/264 - (71917*s[15])/12 - (5765159*s[16])/792 - 
       (10933565*s[17])/1584 - (47189*s[18])/72 - (68765*s[19])/72 - 
       (7252825*s[20])/792 - (4056581*s[21])/1188 + (2355125*s[22])/1188 + 
       (1512719*s[23])/1584 + (24379337*s[24])/4752 - 
       (200068721*s[25])/42768 + (126925307*s[26])/42768 - 4*s[31] - 
       (7*s[32])/2 - 3*s[33] + 14*s[34] + 13*s[35] + (20*s[36])/3 - 
       (341*s[37])/6 + (41*s[38])/2 - (603*s[39])/8 + (4313*s[40])/24 - 
       (1557*s[41])/8 - (395*s[42])/24 + (134251*s[43])/264 - 
       (246275*s[44])/528 + (280649*s[45])/264 - (63058*s[46])/11 - 
       (714535*s[47])/1584 + (1744295*s[48])/1584 - (3958403*s[49])/1584 + 
       (53038*s[50])/11 - (71389*s[51])/1584 - (271415*s[52])/1584 - 
       (687895*s[53])/198 - (21029*s[54])/33 - (12645661*s[55])/528 - 
       (8564753*s[56])/1584 - (9620749*s[57])/1188 - (75789013*s[58])/14256 + 
       (85884385*s[59])/14256 + (520727951*s[60])/9504 - 
       (186133655*s[61])/64152 - 15*s[68] + 15*s[69] + (7*s[74])/2 - 
       (7*s[75])/2 - 13*s[77] - 4*s[78] + 8*s[79] - (31*s[80])/3 + 
       796*s[82] + 132*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]^2*((43*s[2])/2 + (183*s[3])/8 + (24187*s[4])/12 + 
       (233857*s[5])/176 + (457939*s[6])/132 + (18851209*s[7])/594 - 
       (19330891*s[8])/7128 - (34631791*s[9])/1296 - (10585847*s[10])/1296 - 
       (166066141*s[11])/4752 - (365350135*s[12])/9504 - 
       (219951511*s[13])/9504 - (32589851*s[14])/9504 - (9060227*s[15])/216 - 
       (507459499*s[16])/9504 - (32197247*s[17])/792 - 
       (22049573*s[18])/3888 - (1154551*s[19])/243 - (667978219*s[20])/
        10692 - (1913583497*s[21])/85536 + (1428268867*s[22])/85536 + 
       (180795103*s[23])/4752 + (92243447*s[24])/2673 - 
       (34504953479*s[25])/769824 + (18688251437*s[26])/769824 - s[28]/12 + 
       (5*s[29])/3 + (55*s[30])/12 + (47*s[31])/6 - (7*s[32])/4 - 
       (179*s[33])/16 - (79*s[34])/12 - 19*s[35] - (883*s[36])/12 + 
       (9227*s[37])/72 + (6877*s[38])/6 - (227311*s[39])/48 + 
       (85017*s[40])/16 - (199661*s[41])/48 + (41371*s[42])/6 + 
       (2160905*s[43])/528 - (2330641*s[44])/528 + (7281427*s[45])/1584 - 
       (29138009*s[46])/792 + (54931*s[47])/33 + (211163*s[48])/528 - 
       (9855361*s[49])/528 + (2491089*s[50])/88 + (418067*s[51])/88 + 
       (123982*s[52])/33 - (46563367*s[53])/2376 + (271787*s[54])/396 - 
       (65484043*s[55])/528 - (155939521*s[56])/4752 + 
       (497924737*s[57])/14256 - (309100045*s[58])/5346 + 
       (1252296835*s[59])/21384 + (1426216591*s[60])/4752 - 
       (3059663647*s[61])/192456 + (5*s[62])/12 - (5*s[65])/12 - 
       (8*s[66])/3 + (5*s[67])/2 + (29*s[68])/6 + s[69]/6 + (43*s[70])/6 - 
       s[71] + (55*s[72])/3 - (17*s[73])/6 - (131*s[74])/6 + (45*s[75])/2 - 
       (29*s[76])/3 - (25*s[77])/3 + (169*s[78])/6 + (1513*s[79])/3 - 
       (5089*s[80])/36 - s[81]/24 + (1075*s[82])/2 - (3*s[83])/4 + 
       182*s[84] + 132*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*((-85*s[2])/6 + 
       (1525*s[3])/12 + (22997*s[4])/24 + (148339*s[5])/264 + 
       (33743*s[6])/22 + (34516255*s[7])/2376 - (1072669*s[8])/891 - 
       (978410*s[9])/81 - (335662*s[10])/81 - (75408725*s[11])/4752 - 
       (81830983*s[12])/4752 - (1788373*s[13])/176 - (2319563*s[14])/1188 - 
       (357305*s[15])/18 - (19839313*s[16])/792 - (23486119*s[17])/1188 - 
       (9592927*s[18])/3888 - (10341239*s[19])/3888 - 
       (1251343469*s[20])/42768 - (220124917*s[21])/21384 + 
       (161554121*s[22])/21384 + (8087179*s[23])/528 + 
       (707308285*s[24])/42768 - (7797643835*s[25])/384912 + 
       (4235646983*s[26])/384912 - s[27]/2 - 8*s[29] + 5*s[30] - 
       (56*s[31])/3 - (13*s[32])/2 - (40*s[33])/3 + (49*s[34])/3 + 
       (16*s[35])/3 - (374*s[36])/9 - (223*s[37])/18 + (5167*s[38])/12 - 
       (3395*s[39])/2 + (34747*s[40])/18 - (6395*s[41])/4 + 
       (43583*s[42])/18 + (341879*s[43])/198 - (2856553*s[44])/1584 + 
       (1801619*s[45])/792 - (12990319*s[46])/792 + (1506299*s[47])/4752 + 
       (3642653*s[48])/4752 - (9510737*s[49])/1188 + (1282489*s[50])/99 + 
       (1037813*s[51])/594 + (6004921*s[52])/4752 - (21526061*s[53])/2376 - 
       (143449*s[54])/792 - (30778343*s[55])/528 - (5826853*s[56])/396 + 
       (2768285*s[57])/396 - (167123369*s[58])/7128 + (86186005*s[59])/3564 + 
       (987316637*s[60])/7128 - (955162427*s[61])/128304 - (5*s[65])/3 - 
       (20*s[66])/3 + (34*s[67])/3 - (14*s[68])/3 + (88*s[69])/3 + 
       (4*s[70])/3 - (23*s[71])/6 + (32*s[72])/3 - (52*s[73])/3 - 
       (19*s[74])/2 + (19*s[75])/2 + (28*s[76])/3 - (46*s[77])/3 + 12*s[78] + 
       (344*s[79])/3 - (203*s[80])/18 + 556*s[82] + 5*s[83] + 54*s[84] + 
       136*s[85]) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u]*(18*s[2] + 71*s[3] + (8651*s[4])/6 + 
       (47419*s[5])/44 + (235097*s[6])/88 + (2131747*s[7])/88 - 
       (4659601*s[8])/2376 - (4419443*s[9])/216 - (349933*s[10])/54 - 
       (41969635*s[11])/1584 - (45690851*s[12])/1584 - (13660175*s[13])/792 - 
       (2601767*s[14])/792 - (2331151*s[15])/72 - (32439443*s[16])/792 - 
       (50494423*s[17])/1584 - (2912749*s[18])/648 - (2313095*s[19])/648 - 
       (86295965*s[20])/1782 - (125294729*s[21])/7128 + 
       (11326877*s[22])/891 + (43807931*s[23])/1584 + 
       (376461347*s[24])/14256 - (4316055433*s[25])/128304 + 
       (2384626237*s[26])/128304 + 3*s[30] + 6*s[31] - 2*s[32] + 
       (9*s[33])/4 - 5*s[34] - (10*s[35])/3 - (152*s[36])/3 + (169*s[37])/3 + 
       776*s[38] - (6467*s[39])/2 + (21889*s[40])/6 - (34547*s[41])/12 + 
       (18761*s[42])/4 + (192053*s[43])/66 - (802183*s[44])/264 + 
       (77559*s[45])/22 - (885989*s[46])/33 + (92535*s[47])/88 + 
       (42375*s[48])/88 - (3478051*s[49])/264 + (684424*s[50])/33 + 
       (2551415*s[51])/792 + (682613*s[52])/264 - (1907003*s[53])/132 + 
       (11333*s[54])/22 - (72749377*s[55])/792 - (2136661*s[56])/88 + 
       (721025*s[57])/33 - (32717303*s[58])/792 + (33162749*s[59])/792 + 
       (116331365*s[60])/528 - (1048841*s[61])/88 - 2*s[71] + 12*s[72] - 
       (41*s[74])/3 + (41*s[75])/3 - (52*s[76])/3 - (10*s[77])/3 + 12*s[78] + 
       312*s[79] - (218*s[80])/3 + 422*s[82] + 144*s[84] + 136*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - v]*
      (18*s[2] + 71*s[3] + (2893*s[4])/2 + (47235*s[5])/44 + 
       (29798*s[6])/11 + (19187005*s[7])/792 - (1160933*s[8])/594 - 
       (2209091*s[9])/108 - (698467*s[10])/108 - (2627717*s[11])/99 - 
       (22912613*s[12])/792 - (4572313*s[13])/264 - (2610403*s[14])/792 - 
       (774169*s[15])/24 - (1351033*s[16])/33 - (3142558*s[17])/99 - 
       (366988*s[18])/81 - (1140989*s[19])/324 - (172599023*s[20])/3564 - 
       (125489425*s[21])/7128 + (90692015*s[22])/7128 + (7333445*s[23])/264 + 
       (188048735*s[24])/7128 - (2160808615*s[25])/64152 + 
       (1194572125*s[26])/64152 + 3*s[30] + 6*s[31] - 2*s[32] + (9*s[33])/4 - 
       5*s[34] - (10*s[35])/3 - 53*s[36] + (170*s[37])/3 + 791*s[38] - 
       (9803*s[39])/3 + (11048*s[40])/3 - (17429*s[41])/6 + (14209*s[42])/3 + 
       (95710*s[43])/33 - (101029*s[44])/33 + (452755*s[45])/132 - 
       (3498529*s[46])/132 + (140135*s[47])/132 + (62123*s[48])/132 - 
       (144624*s[49])/11 + (673330*s[50])/33 + (107960*s[51])/33 + 
       (57933*s[52])/22 - (5603627*s[53])/396 + (35927*s[54])/66 - 
       (11860511*s[55])/132 - (4728479*s[56])/198 + (13806677*s[57])/594 - 
       (146885669*s[58])/3564 + (37091324*s[59])/891 + 
       (171722389*s[60])/792 - (750298711*s[61])/64152 - 2*s[70] - 2*s[71] + 
       12*s[72] - (44*s[74])/3 + (44*s[75])/3 - (52*s[76])/3 - (10*s[77])/3 + 
       14*s[78] + 316*s[79] - (218*s[80])/3 + 422*s[82] + 144*s[84] + 
       136*s[85]) + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 1}, 1 - u]*
      ((-345*s[2])/2 - (15*s[3])/4 - (16341*s[4])/8 - (71979*s[5])/22 - 
       (514451*s[6])/88 - (8379721*s[7])/176 + (2902315*s[8])/792 + 
       (1459909*s[9])/36 + (415871*s[10])/36 + (27001813*s[11])/528 + 
       (7229141*s[12])/132 + (17062723*s[13])/528 + (4533781*s[14])/528 + 
       (3038033*s[15])/48 + (10356871*s[16])/132 + (33526711*s[17])/528 + 
       (1099673*s[18])/108 + (1069349*s[19])/216 + (223611401*s[20])/2376 + 
       (169662475*s[21])/4752 - (116837183*s[22])/4752 - 
       (7326461*s[23])/132 - (14429396*s[24])/297 + (172110916*s[25])/2673 - 
       (98479441*s[26])/2673 + 6*s[28] + 18*s[29] + 9*s[30] - 54*s[31] + 
       6*s[32] + 18*s[33] + 111*s[34] + 75*s[35] + 234*s[36] - 464*s[37] - 
       1455*s[38] + (30141*s[39])/4 - (30957*s[40])/4 + (22605*s[41])/4 - 
       (44127*s[42])/4 - (19425*s[43])/4 + 5697*s[44] - (11639*s[45])/2 + 
       (194449*s[46])/4 - 4284*s[47] + (12693*s[48])/4 + 22313*s[49] - 
       (70093*s[50])/2 - (31069*s[51])/4 - (27165*s[52])/4 + 
       (158023*s[53])/6 - (18317*s[54])/2 + (625205*s[55])/4 + 
       (135643*s[56])/3 - (2145397*s[57])/36 + (4274509*s[58])/54 - 
       (8494991*s[59])/108 - (4311811*s[60])/12 + (43182877*s[61])/1944 - 
       48*s[63] + 9*s[64] + 27*s[65] + 24*s[66] - 48*s[67] + 12*s[68] - 
       78*s[69] + 336*s[70] - 57*s[71] - 42*s[72] + 174*s[73] + 
       (219*s[74])/2 - (111*s[75])/2 + 150*s[76] - 375*s[77] - 114*s[78] + 
       72*s[79] + 188*s[80] + 2484*s[82] - 126*s[83] - 144*s[84] + 
       144*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1}, 1 - v]*
      ((-351*s[2])/2 + (1851*s[3])/4 - (16707*s[4])/8 - (15951*s[5])/4 - 
       (53169*s[6])/8 - (918577*s[7])/16 + (299941*s[8])/72 + 
       (451154*s[9])/9 + (133288*s[10])/9 + (2948389*s[11])/48 + 
       (194246*s[12])/3 + (1824943*s[13])/48 + (620281*s[14])/48 + 
       (3756367*s[15])/48 + (287041*s[16])/3 + (3757531*s[17])/48 + 
       (340495*s[18])/27 + (1159807*s[19])/216 + (25584713*s[20])/216 + 
       (20068987*s[21])/432 - (13103963*s[22])/432 - (364213*s[23])/6 - 
       (6392111*s[24])/108 + (145917779*s[25])/1944 - (87612539*s[26])/1944 - 
       3*s[28] + 60*s[29] - 3*s[30] - 54*s[31] + 30*s[32] - 183*s[33] + 
       183*s[34] + 57*s[35] + 153*s[36] - (821*s[37])/2 - 1863*s[38] + 
       8859*s[39] - 9330*s[40] + 6972*s[41] - (26265*s[42])/2 - 
       (73989*s[43])/11 + (622227*s[44])/88 - (336175*s[45])/44 + 
       (2738029*s[46])/44 - (375295*s[47])/88 + (289721*s[48])/88 + 
       (2565125*s[49])/88 - (1022803*s[50])/22 - (817299*s[51])/88 - 
       (683057*s[52])/88 + (1130792*s[53])/33 - (144801*s[54])/22 + 
       (18378155*s[55])/88 + (14864105*s[56])/264 - (26584891*s[57])/396 + 
       (235965457*s[58])/2376 - (239792167*s[59])/2376 - 
       (251709121*s[60])/528 + (586054159*s[61])/21384 + 30*s[62] + 3*s[64] + 
       9*s[65] + 6*s[69] + 168*s[70] - 33*s[71] - 114*s[72] + 18*s[73] + 
       (147*s[74])/2 - (153*s[75])/2 + 120*s[76] - 147*s[77] - 114*s[78] - 
       216*s[79] + 103*s[80] - s[81] + 2484*s[82] - 126*s[83] - 144*s[84] + 
       144*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 
       1 - u]*(-6*s[2] + 27*s[3] + 1365*s[4] + (44317*s[5])/44 + 
       (25797*s[6])/11 + (18215281*s[7])/792 - (1095317*s[8])/594 - 
       (2105567*s[9])/108 - (688159*s[10])/108 - (2475278*s[11])/99 - 
       (21422009*s[12])/792 - (4229581*s[13])/264 - (2482879*s[14])/792 - 
       (249787*s[15])/8 - (2578007*s[16])/66 - (3051376*s[17])/99 - 
       (1337593*s[18])/324 - (1195145*s[19])/324 - (164690861*s[20])/3564 - 
       (118446481*s[21])/7128 + (86217623*s[22])/7128 + (6595043*s[23])/264 + 
       (181053047*s[24])/7128 - (2031986851*s[25])/64152 + 
       (1117809277*s[26])/64152 + 3*s[30] + 6*s[31] - (9*s[32])/2 + 
       (9*s[33])/4 - 5*s[34] - (10*s[35])/3 - (152*s[36])/3 + (56*s[37])/3 + 
       716*s[38] - (35477*s[39])/12 + (40045*s[40])/12 - (32683*s[41])/12 + 
       (51581*s[42])/12 + (352679*s[43])/132 - (733345*s[44])/264 + 
       (447391*s[45])/132 - (1676839*s[46])/66 + (760831*s[47])/792 + 
       (275005*s[48])/792 - (9773647*s[49])/792 + (662798*s[50])/33 + 
       (2389187*s[51])/792 + (1851071*s[52])/792 - (1379512*s[53])/99 + 
       (1631*s[54])/22 - (23432947*s[55])/264 - (5963867*s[56])/264 + 
       (1117385*s[57])/66 - (90162059*s[58])/2376 + (92216807*s[59])/2376 + 
       (1002579751*s[60])/4752 - (119977925*s[61])/10692 + 6*s[68] + 
       6*s[69] - 2*s[71] + 12*s[72] - (41*s[74])/3 + (41*s[75])/3 - 
       (52*s[76])/3 + (8*s[77])/3 + 12*s[78] + 312*s[79] - (218*s[80])/3 + 
       516*s[82] + 144*s[84] + 144*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 0, 1}, 1 - v]*((-27*s[2])/2 + 71*s[3] + (2719*s[4])/2 + 
       (24907*s[5])/22 + (111703*s[6])/44 + (18853627*s[7])/792 - 
       (736477*s[8])/396 - (726023*s[9])/36 - (118679*s[10])/18 - 
       (3414553*s[11])/132 - (7357181*s[12])/264 - (13048835*s[13])/792 - 
       (953609*s[14])/264 - (2334283*s[15])/72 - (16048891*s[16])/396 - 
       (3185606*s[17])/99 - (477293*s[18])/108 - (397159*s[19])/108 - 
       (57259813*s[20])/1188 - (4655381*s[21])/264 + (29658005*s[22])/2376 + 
       (20627857*s[23])/792 + (62227463*s[24])/2376 - (58077983*s[25])/1782 + 
       (65078581*s[26])/3564 - 4*s[27] + 3*s[30] - 15*s[31] - 2*s[32] - 
       (39*s[33])/2 + 11*s[34] + (62*s[35])/3 - (233*s[36])/3 + 39*s[37] + 
       757*s[38] - (9170*s[39])/3 + (10312*s[40])/3 - (16511*s[41])/6 + 
       (26437*s[42])/6 + (93989*s[43])/33 - (191449*s[44])/66 + 
       (232393*s[45])/66 - (577699*s[46])/22 + (88973*s[47])/99 + 
       (52574*s[48])/99 - (5117711*s[49])/396 + (677258*s[50])/33 + 
       (1196473*s[51])/396 + (476051*s[52])/198 - (473878*s[53])/33 + 
       (2305*s[54])/66 - (3021710*s[55])/33 - (9257113*s[56])/396 + 
       (20774737*s[57])/1188 - (139951733*s[58])/3564 + 
       (143572397*s[59])/3564 + (517300343*s[60])/2376 - 
       (371006759*s[61])/32076 + 8*s[62] + 3*s[68] + 3*s[69] - 2*s[71] + 
       12*s[72] - (41*s[74])/3 + (41*s[75])/3 + (11*s[76])/3 - s[77]/3 + 
       6*s[78] + 268*s[79] - 57*s[80] + 516*s[82] + 144*s[84] + 144*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
      (18*s[2] + (82*s[3])/3 + (5559*s[4])/4 + (46089*s[5])/44 + 
       (111401*s[6])/44 + (4685653*s[7])/198 - (747077*s[8])/396 - 
       (719569*s[9])/36 - (234173*s[10])/36 - (2273749*s[11])/88 - 
       (7382383*s[12])/264 - (6640879*s[13])/396 - (34697*s[14])/11 - 
       (287756*s[15])/9 - (3977473*s[16])/99 - (24997987*s[17])/792 - 
       (37190*s[18])/9 - 3856*s[19] - (9363803*s[20])/198 - 
       (10126957*s[21])/594 + (3694286*s[22])/297 + (20284567*s[23])/792 + 
       (62498005*s[24])/2376 - (702737395*s[25])/21384 + 
       (385781785*s[26])/21384 - 2*s[30] + 6*s[31] - 2*s[32] + (9*s[33])/4 - 
       5*s[34] + (86*s[35])/3 - (233*s[36])/3 + 39*s[37] + 761*s[38] - 
       (9194*s[39])/3 + (10336*s[40])/3 - (16535*s[41])/6 + (26485*s[42])/6 + 
       (94073*s[43])/33 - (192325*s[44])/66 + (231305*s[45])/66 - 
       (577267*s[46])/22 + (88529*s[47])/99 + (54902*s[48])/99 - 
       (5135087*s[49])/396 + (676502*s[50])/33 + (1197289*s[51])/396 + 
       (475511*s[52])/198 - (472718*s[53])/33 + (769*s[54])/66 - 
       (3013430*s[55])/33 - (9240457*s[56])/396 + (21155905*s[57])/1188 - 
       (140174357*s[58])/3564 + (143722445*s[59])/3564 + 
       (517001927*s[60])/2376 - (370396847*s[61])/32076 + 8*s[62] + 3*s[68] + 
       3*s[69] - 2*s[71] + 12*s[72] - (41*s[74])/3 + (41*s[75])/3 + 
       (11*s[76])/3 - s[77]/3 + 6*s[78] + 268*s[79] - 57*s[80] + 516*s[82] + 
       144*s[84] + 144*s[85]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*((-3299*s[2])/72 + (36119*s[3])/144 + 
       (11735*s[4])/288 - (409435*s[5])/792 - (1750531*s[6])/3168 - 
       (344175809*s[7])/57024 + (13518127*s[8])/85536 + 
       (22035283*s[9])/3888 + (3670633*s[10])/1944 + (360868327*s[11])/
        57024 + (90135389*s[12])/14256 + (213904529*s[13])/57024 + 
       (124353667*s[14])/57024 + (43531735*s[15])/5184 + 
       (142185323*s[16])/14256 + (54302657*s[17])/6336 + 
       (15483191*s[18])/11664 + (10112321*s[19])/23328 + 
       (3411652391*s[20])/256608 + (2891178001*s[21])/513216 - 
       (1736322161*s[22])/513216 - (25831343*s[23])/7128 - 
       (816880187*s[24])/128304 + (16414400789*s[25])/2309472 - 
       (11137130711*s[26])/2309472 + (11*s[28])/2 - (7*s[29])/6 + 
       (31*s[30])/6 - (509*s[31])/18 + (575*s[32])/36 - (3727*s[33])/144 + 
       (1033*s[34])/18 + (23*s[35])/36 + (343*s[36])/27 - (5845*s[37])/216 - 
       (550*s[38])/9 + (41773*s[39])/144 - (87703*s[40])/432 + 
       (29531*s[41])/144 - (205607*s[42])/432 - (763289*s[43])/4752 + 
       (856723*s[44])/9504 + (1497115*s[45])/4752 - (290899*s[46])/2376 - 
       (5561213*s[47])/28512 + (11840281*s[48])/28512 + 
       (18618275*s[49])/28512 + (91697*s[50])/2376 - (6633883*s[51])/28512 - 
       (7983049*s[52])/28512 - (820645*s[53])/14256 - (158429*s[54])/1188 - 
       (16328987*s[55])/9504 - (3462815*s[56])/3168 - (4015433*s[57])/1782 + 
       (2936585*s[58])/85536 - (32410547*s[59])/85536 + 
       (388227445*s[60])/171072 - (65001193*s[61])/85536 - 9*s[63] - 
       s[64]/2 + (17*s[65])/9 + (32*s[66])/9 - (119*s[67])/18 + 
       (241*s[68])/18 - (64*s[69])/9 + (521*s[70])/9 - (35*s[71])/36 - 
       (215*s[72])/18 + (47*s[73])/6 + (125*s[74])/24 - (107*s[75])/24 + 
       (98*s[76])/9 - (2611*s[77])/36 - (275*s[78])/18 - (344*s[79])/9 - 
       (1063*s[80])/108 + 546*s[82] - (23*s[83])/12 - (9*s[84])/2 + 
       (434*s[85])/3) + HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((127*s[2])/8 - (77*s[3])/16 + 
       (414593*s[4])/288 + (330563*s[5])/264 + (1041671*s[6])/352 + 
       (167097137*s[7])/6336 - (57086863*s[8])/28512 - (29053399*s[9])/1296 - 
       (9396293*s[10])/1296 - (546334165*s[11])/19008 - 
       (73636561*s[12])/2376 - (352572799*s[13])/19008 - 
       (81751009*s[14])/19008 - (61532129*s[15])/1728 - 
       (13303945*s[16])/297 - (673353151*s[17])/19008 - 
       (18680783*s[18])/3888 - (30697337*s[19])/7776 - 
       (4561688969*s[20])/85536 - (3345761335*s[21])/171072 + 
       (2377240955*s[22])/171072 + (133907003*s[23])/4752 + 
       (622820149*s[24])/21384 - (6962285141*s[25])/192456 + 
       (1949249857*s[26])/96228 + (16*s[29])/3 + (19*s[30])/4 + 
       (49*s[31])/6 - (8*s[32])/3 - (65*s[33])/12 - (11*s[34])/12 - 
       (137*s[35])/12 - (1111*s[36])/18 + (133*s[37])/2 + (30883*s[38])/36 - 
       (165313*s[39])/48 + (563867*s[40])/144 - (447433*s[41])/144 + 
       (238055*s[42])/48 + (571181*s[43])/176 - (1328771*s[44])/396 + 
       (43699*s[45])/11 - (15761945*s[46])/528 + (737713*s[47])/792 + 
       (1379297*s[48])/1584 - (5784919*s[49])/396 + (9153391*s[50])/396 + 
       (16140967*s[51])/4752 + (1425455*s[52])/528 - (38368643*s[53])/2376 + 
       (310291*s[54])/792 - (163530101*s[55])/1584 - (64696645*s[56])/2376 + 
       (304319507*s[57])/14256 - (965783615*s[58])/21384 + 
       (1966535929*s[59])/42768 + (21745021*s[60])/88 - 
       (10228386533*s[61])/769824 - 2*s[63] - s[64]/2 + (17*s[65])/12 + 
       (25*s[66])/6 - (49*s[67])/6 - (11*s[68])/3 - (38*s[69])/3 + 
       (11*s[70])/6 - (53*s[71])/12 + (47*s[72])/6 + (11*s[73])/6 - 
       (101*s[74])/8 + (95*s[75])/8 - (149*s[76])/6 + s[77]/12 + 
       (95*s[78])/6 + 374*s[79] - (230*s[80])/3 + 532*s[82] - (17*s[83])/4 + 
       (377*s[84])/2 + 148*s[85]) + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((277*s[2])/8 + (27*s[3])/16 + (45661*s[4])/32 + 
       (217495*s[5])/176 + (3117889*s[6])/1056 + (498882827*s[7])/19008 - 
       (56577203*s[8])/28512 - (28910477*s[9])/1296 - (4654367*s[10])/648 - 
       (544213355*s[11])/19008 - (293846117*s[12])/9504 - 
       (39138791*s[13])/2112 - (80171273*s[14])/19008 - 
       (20302751*s[15])/576 - (70467029*s[16])/1584 - 
       (666086785*s[17])/19008 - (18879643*s[18])/3888 - 
       (29808715*s[19])/7776 - (4535518129*s[20])/85536 - 
       (3325730747*s[21])/171072 + (2365905415*s[22])/171072 + 
       (29829761*s[23])/1056 + (2465663639*s[24])/85536 - 
       (6935781997*s[25])/192456 + (3879084061*s[26])/192456 + s[28]/4 + 
       (22*s[29])/3 + (3*s[30])/4 + (91*s[31])/6 - s[32]/6 + (115*s[33])/12 - 
       (215*s[34])/12 - (203*s[35])/12 - (1769*s[36])/36 + (4129*s[37])/72 + 
       (4961*s[38])/6 - (40319*s[39])/12 + (34070*s[40])/9 - 
       (36061*s[41])/12 + (174823*s[42])/36 + (1208725*s[43])/396 - 
       (10147427*s[44])/3168 + (654393*s[45])/176 - (44881891*s[46])/1584 + 
       (9709213*s[47])/9504 + (5834221*s[48])/9504 - (130856299*s[49])/9504 + 
       (2167600*s[50])/99 + (32198165*s[51])/9504 + (25364219*s[52])/9504 - 
       (36226555*s[53])/2376 + (428779*s[54])/792 - (308335615*s[55])/3168 - 
       (245351833*s[56])/9504 + (315962417*s[57])/14256 - 
       (3713962469*s[58])/85536 + (3761238587*s[59])/85536 + 
       (13289322919*s[60])/57024 - (9689226539*s[61])/769824 + 
       (17*s[65])/12 + (8*s[66])/3 - (49*s[67])/6 - (7*s[68])/6 - 
       (91*s[69])/6 + (17*s[70])/6 - (41*s[71])/12 + (59*s[72])/6 + 
       (53*s[73])/6 - (119*s[74])/8 + (119*s[75])/8 - (149*s[76])/6 - 
       (29*s[77])/12 + (47*s[78])/6 + 350*s[79] - (269*s[80])/4 + 532*s[82] - 
       (17*s[83])/4 + (377*s[84])/2 + 148*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[v, w, u]*
      ((44*s[2])/3 + (917*s[3])/12 + (7943*s[4])/8 + (97871*s[5])/132 + 
       (499687*s[6])/264 + (26811497*s[7])/1584 - (3165275*s[8])/2376 - 
       (1539887*s[9])/108 - (252317*s[10])/54 - (29308775*s[11])/1584 - 
       (15876917*s[12])/792 - (2105595*s[13])/176 - (3930989*s[14])/1584 - 
       (3288583*s[15])/144 - (7614005*s[16])/264 - (35911285*s[17])/1584 - 
       (998449*s[18])/324 - (1712845*s[19])/648 - (242928067*s[20])/7128 - 
       (176275907*s[21])/14256 + (126424423*s[22])/14256 + 
       (2456999*s[23])/132 + (66840151*s[24])/3564 - (751247591*s[25])/
        32076 + (104172902*s[26])/8019 + 2*s[30] + (8*s[31])/3 - 
       (17*s[32])/6 + s[33] + (2*s[34])/3 + s[35]/3 - (301*s[36])/9 + 
       (257*s[37])/18 + (1592*s[38])/3 - (8671*s[39])/4 + (88927*s[40])/36 - 
       (23665*s[41])/12 + (111551*s[42])/36 + (835421*s[43])/396 - 
       (1724815*s[44])/792 + (1051363*s[45])/396 - (646645*s[46])/33 + 
       (1195169*s[47])/2376 + (1768907*s[48])/2376 - (22916225*s[49])/2376 + 
       (1513811*s[50])/99 + (4965157*s[51])/2376 + (3896509*s[52])/2376 - 
       (2114219*s[53])/198 - (2303*s[54])/66 - (18066893*s[55])/264 - 
       (42003919*s[56])/2376 + (21183883*s[57])/1782 - 
       (620338793*s[58])/21384 + (635082917*s[59])/21384 + 
       (2331276677*s[60])/14256 - (423217463*s[61])/48114 - (16*s[68])/3 + 
       (16*s[69])/3 + 2*s[70] - 2*s[71] + 8*s[72] - 2*s[73] - (47*s[74])/6 + 
       (47*s[75])/6 - 8*s[76] - (26*s[77])/3 + (14*s[78])/3 + (596*s[79])/3 - 
       (403*s[80])/9 + 596*s[82] + 96*s[84] + 152*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((155*s[2])/12 + (1837*s[3])/24 + (136717*s[4])/48 + 
       (149387*s[5])/88 + (200967*s[6])/44 + (401275937*s[7])/9504 - 
       (13355701*s[8])/3564 - (45927653*s[9])/1296 - (6852701*s[10])/648 - 
       (55495091*s[11])/1188 - (492092891*s[12])/9504 - 
       (296554457*s[13])/9504 - (34791661*s[14])/9504 - 
       (47828107*s[15])/864 - (168157625*s[16])/2376 - 
       (83941771*s[17])/1584 - (14728793*s[18])/1944 - 
       (24522635*s[19])/3888 - (880001687*s[20])/10692 - 
       (2502971173*s[21])/85536 + (1898511755*s[22])/85536 + 
       (499834831*s[23])/9504 + (3907507229*s[24])/85536 - 
       (46429210645*s[25])/769824 + (24888616513*s[26])/769824 + s[28]/6 - 
       (22*s[29])/3 + (35*s[30])/3 + 8*s[31] - s[32]/4 + s[33] - 
       (83*s[34])/6 - (83*s[35])/6 - (3985*s[36])/36 + (1346*s[37])/9 + 
       (18917*s[38])/12 - (100613*s[39])/16 + (1005217*s[40])/144 - 
       (262369*s[41])/48 + (1308719*s[42])/144 + (8497811*s[43])/1584 - 
       (4543405*s[44])/792 + (4630357*s[45])/792 - (74833783*s[46])/1584 + 
       (5266103*s[47])/2376 + (1878187*s[48])/4752 - (7297657*s[49])/297 + 
       (14372123*s[50])/396 + (29497667*s[51])/4752 + (23742971*s[52])/4752 - 
       (119108531*s[53])/4752 + (91061*s[54])/99 - (250289947*s[55])/1584 - 
       (8220481*s[56])/198 + (74661005*s[57])/1584 - (1065372881*s[58])/
        14256 + (1081059083*s[59])/14256 + (5489735051*s[60])/14256 - 
       (1291614857*s[61])/64152 - s[64]/3 - 2*s[65] - (20*s[66])/3 + 
       12*s[67] + 4*s[68] + 15*s[69] - (8*s[70])/3 - (13*s[71])/4 + 
       25*s[72] - 24*s[73] - (371*s[74])/12 + (371*s[75])/12 - (95*s[76])/3 - 
       (89*s[77])/6 + (121*s[78])/3 + 564*s[79] - (1022*s[80])/9 + 
       (837*s[82])/2 + (5*s[83])/2 + 256*s[84] + 152*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((37*s[2])/6 + 116*s[3] + (44807*s[4])/24 + (273803*s[5])/264 + 
       (65343*s[6])/22 + (21464869*s[7])/792 - (5739721*s[8])/2376 - 
       (2446663*s[9])/108 - (1476235*s[10])/216 - (47581669*s[11])/1584 - 
       (26431243*s[12])/792 - (31719695*s[13])/1584 - (960253*s[14])/396 - 
       (2554265*s[15])/72 - (36108253*s[16])/792 - (5998257*s[17])/176 - 
       (6270305*s[18])/1296 - (5374099*s[19])/1296 - (756577705*s[20])/
        14256 - (266793685*s[21])/14256 + (202473503*s[22])/14256 + 
       (52525051*s[23])/1584 + (26304083*s[24])/891 - 
       (4978228459*s[25])/128304 + (2662980169*s[26])/128304 - 10*s[29] + 
       (7*s[30])/6 + s[31] + (25*s[32])/4 - (65*s[33])/12 - (22*s[34])/3 + 
       (5*s[35])/3 - (2707*s[36])/36 + (304*s[37])/9 + (12101*s[38])/12 - 
       (192677*s[39])/48 + (649003*s[40])/144 - (172307*s[41])/48 + 
       (832757*s[42])/144 + (5663489*s[43])/1584 - (376754*s[44])/99 + 
       (804791*s[45])/198 - (16841345*s[46])/528 + (3069251*s[47])/2376 + 
       (3320533*s[48])/4752 - (39020459*s[49])/2376 + (2436065*s[50])/99 + 
       (19118303*s[51])/4752 + (15064571*s[52])/4752 - 
       (26878429*s[53])/1584 + (14587*s[54])/66 - (56819093*s[55])/528 - 
       (67193233*s[56])/2376 + (400655507*s[57])/14256 - 
       (2119822855*s[58])/42768 + (2148717265*s[59])/42768 + 
       (3740203631*s[60])/14256 - (5355706591*s[61])/384912 + 3*s[62] - 
       s[65] - (23*s[66])/3 + (40*s[67])/3 + (23*s[68])/3 + 25*s[69] + 
       (74*s[70])/3 - (15*s[71])/4 + (46*s[72])/3 - (64*s[73])/3 - 
       (127*s[74])/6 + (127*s[75])/6 - 8*s[76] - (116*s[77])/3 + 
       (68*s[78])/3 + (953*s[79])/3 - (496*s[80])/9 - s[81]/6 + 438*s[82] - 
       4*s[83] + 166*s[84] + 154*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((70*s[2])/3 + (125*s[3])/2 + 
       (13771*s[4])/6 + (201005*s[5])/144 + (275485*s[6])/72 + 
       (90691195*s[7])/2592 - (11622001*s[8])/3888 - (114055897*s[9])/3888 - 
       (2189108*s[10])/243 - (50254865*s[11])/1296 - (111278741*s[12])/2592 - 
       (22478519*s[13])/864 - (8792317*s[14])/2592 - (1464853*s[15])/32 - 
       (8459621*s[16])/144 - (57151657*s[17])/1296 - (35729317*s[18])/5832 - 
       (32116169*s[19])/5832 - (99713935*s[20])/1458 - 
       (566253817*s[21])/23328 + (429062123*s[22])/23328 + 
       (35982103*s[23])/864 + (899028005*s[24])/23328 - 
       (1311116819*s[25])/26244 + (2808252461*s[26])/104976 + s[28]/6 - 
       (13*s[29])/9 + 5*s[30] + (55*s[31])/9 + (17*s[32])/9 - 
       (607*s[33])/36 + (92*s[34])/9 - (259*s[35])/9 - (8461*s[36])/108 + 
       (1829*s[37])/18 + (49139*s[38])/36 - (755359*s[39])/144 + 
       (2540977*s[40])/432 - (73499*s[41])/16 + (1614799*s[42])/216 + 
       (22226675*s[43])/4752 - (46924645*s[44])/9504 + (4046873*s[45])/792 - 
       (193227623*s[46])/4752 + (48367799*s[47])/28512 + 
       (25056797*s[48])/28512 - (606039719*s[49])/28512 + 
       (37049825*s[50])/1188 + (148276123*s[51])/28512 + 
       (118630495*s[52])/28512 - (152311169*s[53])/7128 + 
       (590989*s[54])/1188 - (429597851*s[55])/3168 - 
       (1020111713*s[56])/28512 + (1631284561*s[57])/42768 - 
       (16359428653*s[58])/256608 + (16518724675*s[59])/256608 + 
       (57213688805*s[60])/171072 - (40305126085*s[61])/2309472 + 
       (5*s[62])/6 - s[64]/6 - (5*s[65])/9 - (23*s[66])/9 + (41*s[67])/9 + 
       (119*s[68])/9 + (17*s[69])/9 + (149*s[70])/9 - (29*s[71])/18 + 
       (122*s[72])/9 - (173*s[73])/18 - (58*s[74])/3 + (41*s[75])/2 - 
       (107*s[76])/9 - (73*s[77])/9 + (337*s[78])/18 + (1493*s[79])/3 - 
       (2479*s[80])/18 - s[81]/12 + 487*s[82] - (23*s[83])/6 + 
       (479*s[84])/3 + (464*s[85])/3) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - w]*((37*s[2])/2 + (2509*s[3])/12 - 
       (9221*s[4])/24 + (232*s[5])/33 - (19059*s[6])/88 - 
       (3679249*s[7])/1584 + (369247*s[8])/792 + (72733*s[9])/36 - 
       (8803*s[10])/36 + (1572611*s[11])/528 + (1090415*s[12])/264 + 
       (4333829*s[13])/1584 - (272989*s[14])/176 + (220063*s[15])/144 + 
       (585547*s[16])/198 + (173995*s[17])/1584 + (52387*s[18])/108 - 
       (57881*s[19])/216 + (6027187*s[20])/2376 + (408539*s[21])/528 - 
       (6570383*s[22])/4752 - (6384287*s[23])/792 - (3175063*s[24])/2376 + 
       (3942277*s[25])/891 - (6394087*s[26])/3564 + 6*s[30] - (11*s[32])/3 - 
       (15*s[33])/4 + 6*s[34] - 27*s[35] + 3*s[36] - (217*s[37])/2 - 
       (116*s[38])/3 - (9215*s[39])/12 + (8915*s[40])/12 - (2553*s[41])/4 + 
       (15223*s[42])/12 + (3991*s[43])/12 - (2449*s[44])/3 - (787*s[45])/6 - 
       (12293*s[46])/4 + (9167*s[47])/18 - (11279*s[48])/36 - 
       (24739*s[49])/9 + 2473*s[50] + (29381*s[51])/36 + (16283*s[52])/36 - 
       (64469*s[53])/36 + (4145*s[54])/6 - (302827*s[55])/36 - 
       (2853*s[56])/2 + (98957*s[57])/36 - (23171*s[58])/6 + 
       (151051*s[59])/36 + (2295461*s[60])/108 - (2235361*s[61])/1944 - 
       12*s[63] + 3*s[64] - 18*s[65] - 48*s[66] + 54*s[67] + (86*s[68])/3 + 
       (382*s[69])/3 + 21*s[71] + 54*s[72] - (69*s[74])/2 + (75*s[75])/2 + 
       60*s[76] - (121*s[77])/3 + 36*s[78] - 252*s[79] - 41*s[80] + 
       826*s[82] + 27*s[83] - 90*s[84] + 160*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      ((-53*s[2])/3 + (261*s[3])/2 - (1897*s[4])/6 + 205*s[5] + 
       (245*s[6])/12 - (21605*s[7])/36 + (36883*s[8])/108 + 
       (50023*s[9])/108 - (21256*s[10])/27 + (93799*s[11])/72 + 
       (183737*s[12])/72 + (24065*s[13])/12 - (21919*s[14])/9 - 
       (44705*s[15])/36 - (1523*s[16])/6 - (224935*s[17])/72 - 
       (10289*s[18])/162 - (19865*s[19])/81 - (493081*s[20])/324 - 
       (195947*s[21])/162 - (149965*s[22])/324 - (46895*s[23])/8 + 
       (163369*s[24])/648 + (16020235*s[25])/5832 - (1961587*s[26])/5832 - 
       (62*s[31])/3 + 3*s[32] - 20*s[33] + (142*s[34])/3 + (160*s[35])/3 + 
       (379*s[36])/9 - (736*s[37])/9 - 235*s[38] + (2243*s[39])/2 - 
       (21233*s[40])/18 + 856*s[41] - (32215*s[42])/18 - (8501*s[43])/18 + 
       (6199*s[44])/9 + (15871*s[45])/36 + (5333*s[46])/4 - 
       (22616*s[47])/27 + (50903*s[48])/54 + (241139*s[49])/108 - 
       (11189*s[50])/18 - (125713*s[51])/108 - (29188*s[52])/27 - 
       (307*s[53])/4 - (1089*s[54])/2 - (63355*s[55])/18 - 
       (36119*s[56])/108 - (1539463*s[57])/81 + (3122995*s[58])/486 - 
       (5476265*s[59])/972 - (271765*s[60])/81 - (8579645*s[61])/17496 + 
       3*s[64] + 3*s[65] - (58*s[68])/3 + (58*s[69])/3 - 6*s[71] + 12*s[73] + 
       (38*s[74])/3 - (29*s[75])/3 + (62*s[76])/3 - (40*s[77])/3 - 
       (80*s[78])/3 - (452*s[79])/3 + (412*s[80])/9 + 826*s[82] + 27*s[83] - 
       90*s[84] + 160*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - u]*((-295*s[2])/6 + (489*s[3])/4 + 
       (22295*s[4])/24 + (18215*s[5])/44 + (364817*s[6])/264 + 
       (20137157*s[7])/1584 - (2424989*s[8])/2376 - (1138019*s[9])/108 - 
       (202223*s[10])/54 - (22246589*s[11])/1584 - (12185021*s[12])/792 - 
       (1630601*s[13])/176 - (2997899*s[14])/1584 - (2459363*s[15])/144 - 
       (242520*s[16])/11 - (27322147*s[17])/1584 - (164695*s[18])/81 - 
       (1650115*s[19])/648 - (183027289*s[20])/7128 - 
       (126663569*s[21])/14256 + (94931317*s[22])/14256 + 
       (3349777*s[23])/264 + (105397649*s[24])/7128 - 
       (144209816*s[25])/8019 + (154299841*s[26])/16038 - 3*s[28] + 3*s[30] - 
       (80*s[31])/3 - 14*s[33] + (151*s[34])/3 + (151*s[35])/3 - 
       (17*s[36])/9 - (59*s[37])/18 + 378*s[38] - (5681*s[39])/4 + 
       (62645*s[40])/36 - (5581*s[41])/4 + (69733*s[42])/36 + 
       (591163*s[43])/396 - (171211*s[44])/99 + (384925*s[45])/198 - 
       (625467*s[46])/44 + (38605*s[47])/594 + (1310981*s[48])/1188 - 
       (8694689*s[49])/1188 + (1132324*s[50])/99 + (418441*s[51])/297 + 
       (1170451*s[52])/1188 - (249968*s[53])/33 - (15855*s[54])/22 - 
       (19866871*s[55])/396 - (15122785*s[56])/1188 + (20937271*s[57])/3564 - 
       (217710461*s[58])/10692 + (110048221*s[59])/5346 + 
       (887233925*s[60])/7128 - (1195284517*s[61])/192456 + 6*s[67] - 
       (40*s[68])/3 + (40*s[69])/3 + 6*s[72] - 6*s[73] - (23*s[74])/6 + 
       (23*s[75])/6 + (80*s[76])/3 - (49*s[77])/3 - (62*s[78])/3 + 
       (916*s[79])/3 - (1235*s[80])/9 + 958*s[82] - 27*s[83] + 90*s[84] + 
       160*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 
       1 - v]*((9*s[2])/2 + (1753*s[3])/12 + (21733*s[4])/24 + 
       (10477*s[5])/33 + (114739*s[6])/88 + (19860479*s[7])/1584 - 
       (279277*s[8])/264 - 10353*s[9] - (42695*s[10])/12 - 
       (7414361*s[11])/528 - (4125449*s[12])/264 - (15057391*s[13])/1584 - 
       (645895*s[14])/528 - (2377949*s[15])/144 - (2127880*s[16])/99 - 
       (25549253*s[17])/1584 - (49672*s[18])/27 - (558109*s[19])/216 - 
       (58935025*s[20])/2376 - (39285973*s[21])/4752 + 
       (10419091*s[22])/1584 + (10546045*s[23])/792 + (11602087*s[24])/792 - 
       (391628873*s[25])/21384 + (202351115*s[26])/21384 + 3*s[27] + 
       6*s[29] + 3*s[30] - (29*s[32])/3 + (3*s[33])/2 + 3*s[34] - 3*s[35] + 
       42*s[36] - 72*s[37] + (4*s[38])/3 - (907*s[39])/6 + (2179*s[40])/6 - 
       (743*s[41])/2 + (827*s[42])/6 + (27547*s[43])/66 - 
       (178459*s[44])/264 + (16139*s[45])/132 - (103317*s[46])/44 - 
       (338183*s[47])/792 + (973501*s[48])/792 - (1985239*s[49])/792 + 
       (25598*s[50])/11 + (76157*s[51])/792 - (71845*s[52])/792 - 
       (403321*s[53])/396 - (45701*s[54])/66 - (6383713*s[55])/792 - 
       (282079*s[56])/264 - (174375*s[57])/44 - (3618707*s[58])/2376 + 
       (4187357*s[59])/2376 + (137124499*s[60])/4752 - 
       (7537339*s[61])/21384 + 6*s[67] - (40*s[68])/3 + (40*s[69])/3 + 
       3*s[71] + 6*s[72] - (9*s[74])/2 + (3*s[75])/2 + 36*s[76] - 
       (49*s[77])/3 - 36*s[78] + 276*s[79] - 136*s[80] + 958*s[82] - 
       27*s[83] + 90*s[84] + 160*s[85]) + HPL[{1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((5*s[2])/2 - (289*s[3])/12 + (29437*s[4])/24 + (33089*s[5])/66 + 
       (137183*s[6])/88 + (78022205*s[7])/4752 - (11081927*s[8])/7128 - 
       (2236327*s[9])/162 - (1313455*s[10])/324 - (87175205*s[11])/4752 - 
       (49345127*s[12])/2376 - (19736291*s[13])/1584 - (3807743*s[14])/4752 - 
       (1003903*s[15])/48 - (10768081*s[16])/396 - (91674043*s[17])/4752 - 
       (701419*s[18])/243 - (4834405*s[19])/1944 - (678100171*s[20])/21384 - 
       (462087089*s[21])/42768 + (372832345*s[22])/42768 + 
       (16916027*s[23])/792 + (379593611*s[24])/21384 - 
       (4605867361*s[25])/192456 + (2384330617*s[26])/192456 - (2*s[28])/3 - 
       8*s[29] + 3*s[30] - (8*s[31])/3 - (13*s[32])/3 + (25*s[33])/6 + 
       11*s[34] - (62*s[35])/3 - (284*s[36])/9 + (251*s[37])/9 + 
       (2059*s[38])/3 - (10733*s[39])/4 + (110453*s[40])/36 - 
       (29035*s[41])/12 + (139615*s[42])/36 + (887179*s[43])/396 - 
       (1006861*s[44])/396 + (229577*s[45])/99 - (2589503*s[46])/132 + 
       (974453*s[47])/1188 + (102299*s[48])/297 - (12561185*s[49])/1188 + 
       (1516480*s[50])/99 + (1615397*s[51])/594 + (1331723*s[52])/594 - 
       (222655*s[53])/22 + (14192*s[54])/33 - (12705689*s[55])/198 - 
       (20180473*s[56])/1188 + (74031649*s[57])/3564 - 
       (335116943*s[58])/10692 + (83778734*s[59])/2673 + 
       (1155579929*s[60])/7128 - (1574678575*s[61])/192456 - (5*s[64])/3 - 
       2*s[65] - (10*s[66])/3 + 10*s[67] + (46*s[69])/3 + (22*s[70])/3 + 
       (22*s[72])/3 - (98*s[73])/3 - (33*s[74])/2 + (47*s[75])/6 + 
       (20*s[76])/3 - (59*s[77])/3 + 6*s[78] + (1096*s[79])/3 - 
       (1142*s[80])/9 + 320*s[82] - (15*s[83])/2 + 161*s[84] + 160*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      ((20*s[2])/3 + (187*s[3])/2 + (2391*s[4])/2 + (24813*s[5])/44 + 
       (57616*s[6])/33 + (39369433*s[7])/2376 - (1362310*s[8])/891 - 
       (4487819*s[9])/324 - (1323751*s[10])/324 - (5478800*s[11])/297 - 
       (49346315*s[12])/2376 - (9853147*s[13])/792 - (2718889*s[14])/2376 - 
       (506423*s[15])/24 - (5438639*s[16])/198 - (23451799*s[17])/1188 - 
       (3125797*s[18])/972 - (1098997*s[19])/486 - (344610767*s[20])/10692 - 
       (242162977*s[21])/21384 + (185601749*s[22])/21384 + 
       (17265101*s[23])/792 + (375675983*s[24])/21384 - 
       (4602021409*s[25])/192456 + (2454854653*s[26])/192456 + s[28]/3 - 
       4*s[29] + 3*s[30] - 2*s[31] + (53*s[32])/3 - (39*s[33])/4 + 
       (31*s[34])/3 - (64*s[35])/3 - (454*s[36])/9 + 59*s[37] + 
       (3023*s[38])/3 - (23113*s[39])/6 + (77819*s[40])/18 - (6741*s[41])/2 + 
       (98707*s[42])/18 + (653365*s[43])/198 - (1417139*s[44])/396 + 
       (41747*s[45])/11 - (5897161*s[46])/198 + (1510219*s[47])/1188 + 
       (597505*s[48])/1188 - (18075199*s[49])/1188 + (4495861*s[50])/198 + 
       (4566029*s[51])/1188 + (3841073*s[52])/1188 - (9154121*s[53])/594 + 
       (166541*s[54])/198 - (4333839*s[55])/44 - (31490695*s[56])/1188 + 
       (52546895*s[57])/1782 - (506588177*s[58])/10692 + 
       (505910891*s[59])/10692 + (1736268895*s[60])/7128 - 
       (621588079*s[61])/48114 - (5*s[64])/3 - 2*s[65] - (10*s[66])/3 + 
       10*s[67] + 4*s[68] + (34*s[69])/3 + (34*s[70])/3 + (2*s[71])/3 + 
       (8*s[72])/3 - 28*s[73] - (67*s[74])/3 + (38*s[75])/3 - 22*s[76] - 
       (52*s[77])/3 + 4*s[78] + 358*s[79] - 100*s[80] + 320*s[82] - 
       (15*s[83])/2 + 161*s[84] + 160*s[85]) + HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - v]*((191*s[2])/24 + 
       (2215*s[3])/16 + (15559*s[4])/96 + (257437*s[5])/528 + 
       (874655*s[6])/1056 + (142115803*s[7])/19008 - (2854547*s[8])/9504 - 
       (344809*s[9])/54 - (307309*s[10])/108 - (16358753*s[11])/2112 - 
       (1489079*s[12])/198 - (80835179*s[13])/19008 - (6269885*s[14])/2112 - 
       (20145733*s[15])/1728 - (64850585*s[16])/4752 - 
       (244796143*s[17])/19008 - (130013*s[18])/108 - (1499737*s[19])/864 - 
       (162017129*s[20])/9504 - (362273917*s[21])/57024 + 
       (219244909*s[22])/57024 + (14816581*s[23])/4752 + 
       (33552619*s[24])/3564 - (2340653129*s[25])/256608 + 
       (1451488121*s[26])/256608 + 4*s[29] + (35*s[30])/12 - (16*s[31])/3 - 
       6*s[32] - (19*s[33])/6 + (41*s[34])/4 + (97*s[35])/6 + 
       (157*s[36])/12 - (1595*s[37])/72 + (1039*s[38])/12 - (5903*s[39])/24 + 
       (8965*s[40])/24 - (844*s[41])/3 + (4589*s[42])/24 + (54143*s[43])/88 - 
       (627215*s[44])/1056 + (2226527*s[45])/1584 - (11931503*s[46])/1584 - 
       (1169519*s[47])/3168 + (3243901*s[48])/3168 - (9777595*s[49])/3168 + 
       (208888*s[50])/33 + (210743*s[51])/1056 - (207541*s[52])/3168 - 
       (10963247*s[53])/2376 - (226055*s[54])/396 - (100342237*s[55])/3168 - 
       (67099471*s[56])/9504 - (125060035*s[57])/14256 - 
       (652294019*s[58])/85536 + (732216665*s[59])/85536 + 
       (447414145*s[60])/6336 - (2877166949*s[61])/769824 + s[65] + 4*s[66] - 
       6*s[67] - (33*s[68])/2 + (9*s[69])/2 - (15*s[70])/2 - s[71] - 
       (13*s[72])/6 + (37*s[73])/6 + (35*s[74])/24 - (35*s[75])/24 - 
       (7*s[76])/3 - (85*s[77])/12 - (65*s[78])/6 + (176*s[79])/3 - 
       (707*s[80])/36 + 951*s[82] - 3*s[83] + 19*s[84] + 166*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((143*s[2])/6 + (237*s[3])/4 + (9539*s[4])/8 + (470681*s[5])/528 + 
       (99355*s[6])/44 + (197453381*s[7])/9504 - (22629865*s[8])/14256 - 
       (22741697*s[9])/1296 - (1887763*s[10])/324 - (108410081*s[11])/4752 - 
       (235234193*s[12])/9504 - (141714209*s[13])/9504 - 
       (27945607*s[14])/9504 - (24101809*s[15])/864 - 
       (167976703*s[16])/4752 - (2736461*s[17])/99 - (6850307*s[18])/1944 - 
       (867344*s[19])/243 - (1781752055*s[20])/42768 - 
       (1277927311*s[21])/85536 + (934852295*s[22])/85536 + 
       (203495467*s[23])/9504 + (2015403611*s[24])/85536 - 
       (11147733419*s[25])/384912 + (6095501807*s[26])/384912 + s[29]/3 - 
       (8*s[30])/3 + 4*s[31] - 3*s[32] + s[33]/3 - s[34]/3 - (70*s[35])/9 - 
       (89*s[36])/3 + (263*s[37])/72 + (1867*s[38])/3 - (169855*s[39])/72 + 
       (192811*s[40])/72 - (154667*s[41])/72 + (238433*s[42])/72 + 
       (1883753*s[43])/792 - (7621631*s[44])/3168 + (490335*s[45])/176 - 
       (11020025*s[46])/528 + (1453489*s[47])/3168 + (3174769*s[48])/3168 - 
       (11456383*s[49])/1056 + (3248615*s[50])/198 + (795039*s[51])/352 + 
       (1821019*s[52])/1056 - (124511*s[53])/11 - (336695*s[54])/792 - 
       (76602655*s[55])/1056 - (19216177*s[56])/1056 + 
       (18649985*s[57])/1584 - (32216671*s[58])/1056 + 
       (33183979*s[59])/1056 + (3355421269*s[60])/19008 - 
       (193871729*s[61])/21384 - s[64]/4 + s[65]/12 + s[66]/6 - (2*s[67])/3 - 
       (19*s[68])/2 + (14*s[69])/3 + (13*s[70])/2 - (9*s[71])/4 + 
       (10*s[72])/3 - s[73]/2 - (59*s[74])/9 + (245*s[75])/36 - 
       (34*s[76])/9 - (257*s[77])/18 - (13*s[78])/3 + (1207*s[79])/6 - 
       (1303*s[80])/36 + (3541*s[82])/6 - (5*s[83])/2 + 115*s[84] + 
       (502*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[w, u, v]*
      ((416*s[2])/9 + (496*s[3])/3 + (4064*s[4])/9 + (13136*s[5])/33 + 
       (96380*s[6])/99 + (2832832*s[7])/297 - (634364*s[8])/891 - 
       (641884*s[9])/81 - (253616*s[10])/81 - (2991658*s[11])/297 - 
       (3078458*s[12])/297 - (583856*s[13])/99 - (536452*s[14])/297 - 
       (381352*s[15])/27 - (1676768*s[16])/99 - (4342478*s[17])/297 - 
       (360776*s[18])/243 - (503752*s[19])/243 - (53195236*s[20])/2673 - 
       (18431980*s[21])/2673 + (13018232*s[22])/2673 + (760010*s[23])/99 + 
       (30575606*s[24])/2673 - (304788658*s[25])/24057 + 
       (168166426*s[26])/24057 + (128*s[31])/9 - (32*s[32])/3 + 
       (32*s[33])/3 - (256*s[34])/9 - (256*s[35])/9 - (448*s[36])/27 - 
       (752*s[37])/27 + (272*s[38])/3 - (1928*s[39])/3 + (19528*s[40])/27 - 
       (1912*s[41])/3 + (24944*s[42])/27 + (263096*s[43])/297 - 
       (249776*s[44])/297 + (493672*s[45])/297 - (343120*s[46])/33 - 
       (72536*s[47])/891 + (619936*s[48])/891 - (3815476*s[49])/891 + 
       (2538752*s[50])/297 + (557252*s[51])/891 + (266648*s[52])/891 - 
       (208960*s[53])/33 - (12392*s[54])/33 - (12203000*s[55])/297 - 
       (8250140*s[56])/891 - (13894216*s[57])/2673 - (97212124*s[58])/8019 + 
       (105942772*s[59])/8019 + (241857698*s[60])/2673 - 
       (371391880*s[61])/72171 - (128*s[68])/9 + (128*s[69])/9 - 
       (32*s[74])/9 + (32*s[75])/9 - (128*s[76])/9 - (128*s[77])/9 + 
       (128*s[78])/9 - (256*s[79])/9 + (896*s[80])/27 + (2528*s[82])/3 + 
       (512*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - w]*((29*s[2])/2 + (203*s[3])/4 + (17153*s[4])/12 + 
       (64243*s[5])/66 + (85805*s[6])/33 + (109297993*s[7])/4752 - 
       (4592719*s[8])/2376 - (2090407*s[9])/108 - (1292251*s[10])/216 - 
       (20022121*s[11])/792 - (21968239*s[12])/792 - (19816955*s[13])/1188 - 
       (275408*s[14])/99 - (13118737*s[15])/432 - (183955655*s[16])/4752 - 
       (8786674*s[17])/297 - (2779595*s[18])/648 - (264524*s[19])/81 - 
       (162318767*s[20])/3564 - (39133967*s[21])/2376 + 
       (43043975*s[22])/3564 + (129545047*s[23])/4752 + 
       (354987767*s[24])/14256 - (459926647*s[25])/14256 + 
       (252105823*s[26])/14256 - (5*s[29])/3 + (14*s[30])/3 + (20*s[31])/3 - 
       (13*s[32])/6 + (37*s[33])/8 - (9*s[34])/2 - (79*s[35])/6 - 
       (647*s[36])/12 + (1835*s[37])/36 + (9931*s[38])/12 - 
       (54733*s[39])/16 + (185363*s[40])/48 - (147209*s[41])/48 + 
       (79303*s[42])/16 + (541011*s[43])/176 - (3424591*s[44])/1056 + 
       (1426319*s[45])/396 - (44335697*s[46])/1584 + (3369277*s[47])/3168 + 
       (1961431*s[48])/3168 - (44182663*s[49])/3168 + (2843717*s[50])/132 + 
       (1197099*s[51])/352 + (8675165*s[52])/3168 - (35525393*s[53])/2376 + 
       (58744*s[54])/99 - (300929315*s[55])/3168 - (240370087*s[56])/9504 + 
       (170149711*s[57])/7128 - (3709254425*s[58])/85536 + 
       (3749489663*s[59])/85536 + (1452751903*s[60])/6336 - 
       (9556128827*s[61])/769824 - s[64]/3 - s[65]/2 - (7*s[66])/6 + 
       2*s[67] + (16*s[68])/3 - (5*s[69])/6 + (2*s[70])/3 - (3*s[71])/2 + 
       (35*s[72])/3 + (5*s[73])/2 - (63*s[74])/4 + (181*s[75])/12 - 
       10*s[76] - (11*s[77])/3 + (77*s[78])/6 + (944*s[79])/3 - 
       (710*s[80])/9 + 558*s[82] - 2*s[83] + 154*s[84] + 172*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*
      ((631*s[2])/24 + (1047*s[3])/16 + (135485*s[4])/96 + (98171*s[5])/88 + 
       (2839919*s[6])/1056 + (464360075*s[7])/19008 - (6227677*s[8])/3168 - 
       (742619*s[9])/36 - (954833*s[10])/144 - (169369403*s[11])/6336 - 
       (15343525*s[12])/528 - (328697635*s[13])/19008 - 
       (22475807*s[14])/6336 - (56663405*s[15])/1728 - 
       (197015881*s[16])/4752 - (615053627*s[17])/19008 - 
       (5864923*s[18])/1296 - (9473317*s[19])/2592 - (1402471825*s[20])/
        28512 - (1019596009*s[21])/57024 + (243910703*s[22])/19008 + 
       (129550097*s[23])/4752 + (31909975*s[24])/1188 - 
       (8676651791*s[25])/256608 + (4810892303*s[26])/256608 - s[28]/12 + 
       s[29]/6 + 2*s[30] + 7*s[31] - (4*s[32])/3 + (331*s[33])/48 - 
       (35*s[34])/6 - (33*s[35])/4 - (2767*s[36])/72 + (299*s[37])/6 + 
       (19645*s[38])/24 - (327101*s[39])/96 + (1109971*s[40])/288 - 
       (293159*s[41])/96 + (1417097*s[42])/288 + (9954041*s[43])/3168 - 
       (20975821*s[44])/6336 + (679219*s[45])/176 - (92510105*s[46])/3168 + 
       (19168211*s[47])/19008 + (15132509*s[48])/19008 - 
       (273279005*s[49])/19008 + (2237371*s[50])/99 + 
       (64362205*s[51])/19008 + (50093323*s[52])/19008 - 
       (74878715*s[53])/4752 + (263167*s[54])/792 - (637144423*s[55])/6336 - 
       (503098799*s[56])/19008 + (153717337*s[57])/7128 - 
       (7583876857*s[58])/171072 + (7696686439*s[59])/171072 + 
       (27496730963*s[60])/114048 - (20149019191*s[61])/1539648 + s[64]/6 - 
       (2*s[66])/3 - s[67]/6 + s[68]/2 - (2*s[69])/3 + (37*s[70])/6 - s[71] + 
       (23*s[72])/2 - (5*s[73])/12 - (105*s[74])/8 + (325*s[75])/24 - 
       (73*s[76])/6 - (121*s[77])/12 + (133*s[78])/12 + (899*s[79])/3 - 
       (333*s[80])/4 + (1569*s[82])/2 - s[83]/4 + (279*s[84])/2 + 
       174*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((301*s[2])/48 + (3415*s[3])/32 + 
       (191807*s[4])/192 + (1234169*s[5])/1584 + (12173921*s[6])/6336 + 
       (1977898015*s[7])/114048 - (225002215*s[8])/171072 - 
       (28387921*s[9])/1944 - (38014103*s[10])/7776 - 
       (2168430025*s[11])/114048 - (1173607339*s[12])/57024 - 
       (467380535*s[13])/38016 - (298796299*s[14])/114048 - 
       (27006829*s[15])/1152 - (187915709*s[16])/6336 - 
       (2665823279*s[17])/114048 - (36256117*s[18])/11664 - 
       (134655449*s[19])/46656 - (17988031217*s[20])/513216 - 
       (13098744553*s[21])/1026432 + (9317959421*s[22])/1026432 + 
       (174133483*s[23])/9504 + (313269713*s[24])/16038 - 
       (110782173263*s[25])/4618944 + (61670950205*s[26])/4618944 - 
       (31*s[29])/18 - (179*s[30])/24 - (4*s[31])/9 - (859*s[32])/72 - 
       (1805*s[33])/144 + (539*s[34])/72 + (29*s[35])/72 - (794*s[36])/27 + 
       (137*s[37])/9 + (42617*s[38])/72 - (651919*s[39])/288 + 
       (2203717*s[40])/864 - (194627*s[41])/96 + (2738021*s[42])/864 + 
       (20963123*s[43])/9504 - (42830353*s[44])/19008 + 
       (4283495*s[45])/1584 - (189477911*s[46])/9504 + 
       (29587403*s[47])/57024 + (47011337*s[48])/57024 - 
       (578064077*s[49])/57024 + (73967041*s[50])/4752 + 
       (122112481*s[51])/57024 + (96875035*s[52])/57024 - 
       (306789301*s[53])/28512 - (1221235*s[54])/4752 - 
       (437596547*s[55])/6336 - (1004454191*s[56])/57024 + 
       (1071999493*s[57])/85536 - (15228778531*s[58])/513216 + 
       (15585097765*s[59])/513216 + (57260770319*s[60])/342144 - 
       (40871767729*s[61])/4618944 + s[64]/4 - (4*s[65])/9 - (41*s[66])/18 + 
       (46*s[67])/9 - (163*s[68])/18 + (203*s[69])/18 + (77*s[70])/18 - 
       (8*s[71])/9 + (283*s[72])/36 - (233*s[73])/36 - (319*s[74])/48 + 
       (379*s[75])/48 + (149*s[76])/36 - (1699*s[77])/72 + (67*s[78])/36 + 
       (947*s[79])/6 - (382*s[80])/9 + 683*s[82] + (23*s[83])/24 + 
       (1081*s[84])/12 + (523*s[85])/3) + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((145*s[2])/16 + (5585*s[3])/96 + 
       (737569*s[4])/576 + (3110633*s[5])/3168 + (15304591*s[6])/6336 + 
       (2545212959*s[7])/114048 - (292914029*s[8])/171072 - 
       (146504399*s[9])/7776 - (24471119*s[10])/3888 - 
       (2781997937*s[11])/114048 - (1504526687*s[12])/57024 - 
       (599026535*s[13])/38016 - (376828799*s[14])/114048 - 
       (104574779*s[15])/3456 - (723818393*s[16])/19008 - 
       (3424100659*s[17])/114048 - (11479313*s[18])/2916 - 
       (172295695*s[19])/46656 - (23121128623*s[20])/513216 - 
       (16782067421*s[21])/1026432 + (12031360093*s[22])/1026432 + 
       (56324791*s[23])/2376 + (401431867*s[24])/16038 - 
       (71188969865*s[25])/2309472 + (19755622915*s[26])/1154736 - 
       (16*s[29])/9 + (7*s[30])/24 - (109*s[31])/18 - (49*s[32])/36 - 
       (106*s[33])/9 + (937*s[34])/72 + (121*s[35])/72 - (3823*s[36])/108 + 
       (477*s[37])/16 + (6485*s[38])/9 - (807253*s[39])/288 + 
       (2757407*s[40])/864 - (731573*s[41])/288 + (3439321*s[42])/864 + 
       (26021161*s[43])/9504 - (3314969*s[44])/1188 + (1160063*s[45])/352 - 
       (117253613*s[46])/4752 + (4601171*s[47])/7128 + 
       (27036329*s[48])/28512 - (22234151*s[49])/1782 + 
       (91632905*s[50])/4752 + (76541359*s[51])/28512 + 
       (60385915*s[52])/28512 - (190601395*s[53])/14256 - 
       (1248107*s[54])/4752 - (101861345*s[55])/1188 - 
       (156011855*s[56])/7128 + (666441079*s[57])/42768 - 
       (9416343091*s[58])/256608 + (1208715917*s[59])/32076 + 
       (35354739437*s[60])/171072 - (50119227431*s[61])/4618944 - 
       (11*s[65])/36 - (8*s[66])/9 + (20*s[67])/9 - (4*s[68])/9 + 
       (44*s[69])/9 + (97*s[70])/18 - (155*s[71])/72 + (275*s[72])/36 - 
       (133*s[73])/36 - (379*s[74])/48 + (403*s[75])/48 + (391*s[76])/36 - 
       (575*s[77])/72 + (203*s[78])/36 + (1681*s[79])/6 - (5779*s[80])/72 + 
       674*s[82] + (25*s[83])/24 + (1139*s[84])/12 + (527*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
      (19*s[2] + 161*s[3] + (1913*s[4])/4 + (39667*s[5])/66 + 
       (59951*s[6])/44 + (4642349*s[7])/396 - (2421281*s[8])/3564 - 
       (3198547*s[9])/324 - (637771*s[10])/162 - (3746212*s[11])/297 - 
       (3887372*s[12])/297 - (9076171*s[13])/1188 - (3766657*s[14])/1188 - 
       (896119*s[15])/54 - (24648859*s[16])/1188 - (21139093*s[17])/1188 - 
       (2016161*s[18])/972 - (561460*s[19])/243 - (268530103*s[20])/10692 - 
       (49755401*s[21])/5346 + (64923701*s[22])/10692 + (4975825*s[23])/594 + 
       (37460837*s[24])/2673 - (2954453993*s[25])/192456 + 
       (1731950603*s[26])/192456 + s[28]/3 - (2*s[29])/3 - 3*s[30] - 
       (20*s[31])/3 - (4*s[32])/3 - (91*s[33])/4 + 19*s[34] + 8*s[35] - 
       (85*s[36])/6 - (38*s[37])/3 + (1595*s[38])/6 - (22459*s[39])/24 + 
       (26207*s[40])/24 - (6995*s[41])/8 + (28453*s[42])/24 + 
       (320197*s[43])/264 - (641375*s[44])/528 + (253931*s[45])/132 - 
       (3220421*s[46])/264 - (19655*s[47])/176 + (593137*s[48])/528 - 
       (1020619*s[49])/176 + (322712*s[50])/33 + (431477*s[51])/528 + 
       (97133*s[52])/176 - (675826*s[53])/99 - (18721*s[54])/22 - 
       (71491099*s[55])/1584 - (17389553*s[56])/1584 - (1199575*s[57])/1188 - 
       (225357535*s[58])/14256 + (234165637*s[59])/14256 + 
       (113221901*s[60])/1056 - (740475619*s[61])/128304 + (2*s[64])/3 + 
       (2*s[65])/3 - (44*s[68])/3 + 16*s[69] + (14*s[70])/3 - s[71]/3 + 
       4*s[72] + s[73] - s[74]/3 + (7*s[75])/3 + (16*s[76])/3 - 
       (52*s[77])/3 - s[78] + (128*s[79])/3 - (47*s[80])/3 + 1008*s[82] + 
       8*s[83] + 20*s[84] + 176*s[85]) + HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*((-46*s[2])/3 + 
       (104*s[3])/3 + (211*s[4])/6 - (6979*s[5])/66 - (13873*s[6])/66 - 
       (204367*s[7])/198 + (43613*s[8])/891 + (153269*s[9])/162 + 
       (16502*s[10])/81 + (348718*s[11])/297 + (1553267*s[12])/1188 + 
       (1055629*s[13])/1188 + (507043*s[14])/1188 + (57661*s[15])/54 + 
       (1818925*s[16])/1188 + (630881*s[17])/594 + (43646*s[18])/243 + 
       (9343*s[19])/243 + (5508769*s[20])/2673 + (8850685*s[21])/10692 - 
       (6043985*s[22])/10692 - (391123*s[23])/594 - (3210638*s[24])/2673 + 
       (139144303*s[25])/96228 - (83309419*s[26])/96228 + s[28]/3 - 2*s[29] + 
       (10*s[30])/3 - (8*s[31])/3 + (13*s[32])/3 + 4*s[33] - (10*s[34])/3 - 
       8*s[35] - (181*s[36])/9 - (79*s[37])/3 + 121*s[38] - (7469*s[39])/12 + 
       (25771*s[40])/36 - (2609*s[41])/4 + (32117*s[42])/36 + 
       (239849*s[43])/396 - (545869*s[44])/792 + (8682*s[45])/11 - 
       (2423879*s[46])/396 + (168695*s[47])/2376 + (632345*s[48])/2376 - 
       (7305845*s[49])/2376 + (504512*s[50])/99 + (1412077*s[51])/2376 + 
       (974395*s[52])/2376 - (1036831*s[53])/297 - (50954*s[54])/99 - 
       (17723803*s[55])/792 - (12328463*s[56])/2376 + (1274296*s[57])/891 - 
       (177329965*s[58])/21384 + (186049903*s[59])/21384 + 
       (743589071*s[60])/14256 - (523750657*s[61])/192456 + (4*s[64])/3 - 
       (16*s[66])/3 + 8*s[67] - 8*s[68] + (52*s[69])/3 + (16*s[70])/3 + 
       (8*s[72])/3 + 14*s[73] - 5*s[74] + (20*s[75])/3 - (44*s[77])/3 + 
       14*s[78] + (196*s[79])/3 - (32*s[80])/3 + 688*s[82] + 6*s[83] + 
       68*s[84] + 176*s[85]) + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*((253*s[2])/12 + (1097*s[3])/12 + 
       (19301*s[4])/12 + (102413*s[5])/88 + (792613*s[6])/264 + 
       (21263641*s[7])/792 - (15455677*s[8])/7128 - (14666213*s[9])/648 - 
       (4694029*s[10])/648 - (69936329*s[11])/2376 - (76218199*s[12])/2376 - 
       (5708800*s[13])/297 - (4316431*s[14])/1188 - (3866393*s[15])/108 - 
       (108027443*s[16])/2376 - (41897665*s[17])/1188 - (4804253*s[18])/972 - 
       (3924061*s[19])/972 - (143498599*s[20])/2673 - 
       (415557653*s[21])/21384 + (150686681*s[22])/10692 + 
       (36133397*s[23])/1188 + (629943847*s[24])/21384 - 
       (14390622547*s[25])/384912 + (7931122927*s[26])/384912 + 3*s[30] + 
       6*s[31] - (5*s[32])/4 + (29*s[33])/12 - (7*s[34])/3 - (19*s[35])/3 - 
       (103*s[36])/2 + (2047*s[37])/36 + (2603*s[38])/3 - (10622*s[39])/3 + 
       (24037*s[40])/6 - 3164*s[41] + (30541*s[42])/6 + (71477*s[43])/22 - 
       (897385*s[44])/264 + (1550257*s[45])/396 - (11791141*s[46])/396 + 
       (91977*s[47])/88 + (199943*s[48])/264 - (1297413*s[49])/88 + 
       (1518973*s[50])/66 + (307287*s[51])/88 + (246607*s[52])/88 - 
       (4740869*s[53])/297 + (77329*s[54])/198 - (80581363*s[55])/792 - 
       (63747575*s[56])/2376 + (84113107*s[57])/3564 - 
       (975790945*s[58])/21384 + (988089175*s[59])/21384 + 
       (1166791147*s[60])/4752 - (2542240825*s[61])/192456 + (4*s[70])/3 - 
       2*s[71] + 12*s[72] + 2*s[73] - (40*s[74])/3 + (40*s[75])/3 - 
       (46*s[76])/3 - 5*s[77] + 12*s[78] + (1042*s[79])/3 - (1535*s[80])/18 + 
       625*s[82] - (7*s[83])/4 + (305*s[84])/2 + 176*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - v]*
      ((49*s[2])/3 + (1121*s[3])/12 + (4715*s[4])/3 + (78779*s[5])/66 + 
       (265501*s[6])/88 + (10607221*s[7])/396 - (15179299*s[8])/7128 - 
       (7323277*s[9])/324 - (588833*s[10])/81 - (139350751*s[11])/4752 - 
       (151431491*s[12])/4752 - (45323039*s[13])/2376 - 
       (9136895*s[14])/2376 - (3872351*s[15])/108 - (53967517*s[16])/1188 - 
       (168548647*s[17])/4752 - (9615547*s[18])/1944 - (7828211*s[19])/1944 - 
       (574692133*s[20])/10692 - (418257353*s[21])/21384 + 
       (75123901*s[22])/5346 + (142226189*s[23])/4752 + 
       (1258387553*s[24])/42768 - (14294479069*s[25])/384912 + 
       (7925770513*s[26])/384912 + 3*s[30] + 5*s[31] - s[32]/6 - 
       (47*s[33])/24 + (4*s[34])/3 - (13*s[35])/3 - 54*s[36] + 
       (505*s[37])/9 + (5117*s[38])/6 - (28025*s[39])/8 + (95075*s[40])/24 - 
       (24987*s[41])/8 + (121261*s[42])/24 + (840449*s[43])/264 - 
       (590225*s[44])/176 + (3048413*s[45])/792 - (2903674*s[46])/99 + 
       (1665377*s[47])/1584 + (1122131*s[48])/1584 - (22948307*s[49])/1584 + 
       (747344*s[50])/33 + (5492219*s[51])/1584 + (4389829*s[52])/1584 - 
       (18697901*s[53])/1188 + (83671*s[54])/198 - (158858947*s[55])/1584 - 
       (125833423*s[56])/4752 + (167019623*s[57])/7128 - 
       (1925283731*s[58])/42768 + (1950294155*s[59])/42768 + 
       (2293791307*s[60])/9504 - (2507157715*s[61])/192456 - s[64]/6 + 
       s[66]/2 - s[69]/2 - (2*s[70])/3 - 2*s[71] + (34*s[72])/3 + 
       (10*s[73])/3 - (91*s[74])/6 + (89*s[75])/6 - (43*s[76])/3 - 
       (9*s[77])/2 + 11*s[78] + (1012*s[79])/3 - (748*s[80])/9 + 625*s[82] - 
       (7*s[83])/4 + (305*s[84])/2 + 176*s[85]) + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      ((601*s[2])/24 + (361*s[3])/16 + (197639*s[4])/96 + (272875*s[5])/176 + 
       (4047685*s[6])/1056 + (220845925*s[7])/6336 - (82412311*s[8])/28512 - 
       (19066487*s[9])/648 - (5989351*s[10])/648 - (727379797*s[11])/19008 - 
       (397665511*s[12])/9504 - (475977673*s[13])/19008 - 
       (86383051*s[14])/19008 - (79918445*s[15])/1728 - 
       (558989099*s[16])/9504 - (861635107*s[17])/19008 - 
       (12435367*s[18])/1944 - (40045109*s[19])/7776 - 
       (5939012945*s[20])/85536 - (4302490285*s[21])/171072 + 
       (3136653029*s[22])/171072 + (94456789*s[23])/2376 + 
       (814856935*s[24])/21384 - (37443779495*s[25])/769824 + 
       (20586683321*s[26])/769824 - s[27]/12 - s[28]/4 - (37*s[29])/6 + 
       (13*s[30])/3 + (49*s[31])/6 - (17*s[32])/12 - (245*s[33])/48 - 
       (43*s[34])/6 - (87*s[35])/4 - (6385*s[36])/72 + (875*s[37])/9 + 
       (9657*s[38])/8 - (470147*s[39])/96 + (1577149*s[40])/288 - 
       (414809*s[41])/96 + (2036069*s[42])/288 + (13940279*s[43])/3168 - 
       (29290405*s[44])/6336 + (8101535*s[45])/1584 - (13979555*s[46])/352 + 
       (29722739*s[47])/19008 + (14825945*s[48])/19008 - 
       (380301653*s[49])/19008 + (24244259*s[50])/792 + 
       (92606137*s[51])/19008 + (73510231*s[52])/19008 - 
       (5621015*s[53])/264 + (12919*s[54])/22 - (285217289*s[55])/2112 - 
       (675666511*s[56])/19008 + (475106881*s[57])/14256 - 
       (10482257249*s[58])/171072 + (10638773243*s[59])/171072 + 
       (37178390195*s[60])/114048 - (26851808993*s[61])/1539648 + s[64]/6 - 
       s[65] - (19*s[66])/6 + (43*s[67])/6 + (31*s[68])/6 + (13*s[69])/2 + 
       (53*s[70])/6 - (19*s[71])/12 + (37*s[72])/2 - (75*s[73])/4 - 
       (535*s[74])/24 + (183*s[75])/8 - (39*s[76])/2 - (229*s[77])/12 + 
       (103*s[78])/4 + 407*s[79] - (3359*s[80])/36 + 650*s[82] + 
       (9*s[83])/4 + 202*s[84] + 176*s[85]) + HPL[{0, 1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - v]*((269*s[2])/6 - (325*s[3])/6 + (5639*s[4])/3 + 
       (57878*s[5])/33 + (1038319*s[6])/264 + (168124475*s[7])/4752 - 
       (19159357*s[8])/7128 - (19596935*s[9])/648 - (1535377*s[10])/162 - 
       (183598183*s[11])/4752 - (198842081*s[12])/4752 - 
       (7435946*s[13])/297 - (3396839*s[14])/594 - (20456773*s[15])/432 - 
       (283361027*s[16])/4752 - (24534011*s[17])/528 - 
       (13413235*s[18])/1944 - (8942867*s[19])/1944 - 
       (1535291321*s[20])/21384 - (570716633*s[21])/21384 + 
       (400591189*s[22])/21384 + (47367709*s[23])/1188 + 
       (204309103*s[24])/5346 - (18630920053*s[25])/384912 + 
       (10548722755*s[26])/384912 + (7*s[28])/2 + (13*s[29])/2 - 11*s[30] + 
       (97*s[31])/3 + (19*s[32])/3 + (223*s[33])/12 - (128*s[34])/3 - 
       (68*s[35])/3 - (1247*s[36])/18 + (887*s[37])/9 + (3619*s[38])/3 - 
       (58117*s[39])/12 + (197191*s[40])/36 - (52349*s[41])/12 + 
       (507139*s[42])/72 + (1738139*s[43])/396 - (7299779*s[44])/1584 + 
       (1972361*s[45])/396 - (7756865*s[46])/198 + (7106809*s[47])/4752 + 
       (3983821*s[48])/4752 - (93423733*s[49])/4752 + (11948621*s[50])/396 + 
       (23002487*s[51])/4752 + (18234599*s[52])/4752 - 
       (49731619*s[53])/2376 + (155497*s[54])/198 - (211258367*s[55])/1584 - 
       (56230661*s[56])/1584 + (27108841*s[57])/792 - 
       (869202479*s[58])/14256 + (882378419*s[59])/14256 + 
       (9166898887*s[60])/28512 - (275113385*s[61])/16038 - 5*s[63] + 
       (17*s[65])/6 + (16*s[66])/3 - (23*s[67])/3 + (65*s[68])/6 - 
       (44*s[69])/3 + (233*s[70])/6 - (35*s[71])/6 + (40*s[72])/3 - 2*s[73] - 
       18*s[74] + (77*s[75])/4 - (38*s[76])/3 - (355*s[77])/6 + 
       (31*s[78])/3 + (1550*s[79])/3 - (956*s[80])/9 + 433*s[82] - 7*s[83] + 
       240*s[84] + 180*s[85]) + HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - u]*
      ((539*s[2])/12 + (231*s[3])/8 + (89161*s[4])/48 + (432257*s[5])/264 + 
       (1975339*s[6])/528 + (322034233*s[7])/9504 - (35513527*s[8])/14256 - 
       (2335841*s[9])/81 - (5899895*s[10])/648 - (352060531*s[11])/9504 - 
       (191025151*s[12])/4752 - (76423145*s[13])/3168 - 
       (51015709*s[14])/9504 - (13017533*s[15])/288 - (30111013*s[16])/528 - 
       (422337305*s[17])/9504 - (6258733*s[18])/972 - (18430175*s[19])/3888 - 
       (2927966597*s[20])/42768 - (2153723551*s[21])/85536 + 
       (1529074055*s[22])/85536 + (29490295*s[23])/792 + 
       (395428909*s[24])/10692 - (4482425381*s[25])/96228 + 
       (2510386601*s[26])/96228 - s[28]/4 + 5*s[29] - 2*s[30] + 
       (80*s[31])/3 + (17*s[32])/12 + (341*s[33])/12 - (85*s[34])/3 - 
       (197*s[35])/6 - (1067*s[36])/18 + (181*s[37])/3 + (6841*s[38])/6 - 
       (105409*s[39])/24 + (355943*s[40])/72 - (31267*s[41])/8 + 
       (113815*s[42])/18 + (3077977*s[43])/792 - (6443075*s[44])/1584 + 
       (610475*s[45])/132 - (28161757*s[46])/792 + (7019443*s[47])/4752 + 
       (3115741*s[48])/4752 - (82590547*s[49])/4752 + (10756505*s[50])/396 + 
       (21260819*s[51])/4752 + (17380817*s[52])/4752 - 
       (44608631*s[53])/2376 + (451129*s[54])/396 - (190110661*s[55])/1584 - 
       (153852229*s[56])/4752 + (227554055*s[57])/7128 - 
       (2385881885*s[58])/42768 + (2390520791*s[59])/42768 + 
       (8280299809*s[60])/28512 - (6077061263*s[61])/384912 - s[64]/2 + 
       (17*s[65])/6 + (25*s[66])/3 - (29*s[67])/3 + (34*s[68])/3 - 
       (145*s[69])/6 + (119*s[70])/6 - (59*s[71])/6 + (2*s[72])/3 + 
       (35*s[73])/3 - (113*s[74])/6 + (119*s[75])/6 - 27*s[76] - 
       (155*s[77])/6 - (8*s[78])/3 + 446*s[79] - (215*s[80])/3 - s[81]/12 + 
       433*s[82] - 7*s[83] + 240*s[84] + 180*s[85]) + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((13*s[2])/3 + 136*s[3] + (209*s[4])/2 + (37879*s[5])/132 + 
       (24929*s[6])/44 + (981685*s[7])/198 - (760973*s[8])/3564 - 
       (1335751*s[9])/324 - (694271*s[10])/324 - (1478875*s[11])/297 - 
       (5470085*s[12])/1188 - (2946079*s[13])/1188 - (2677753*s[14])/1188 - 
       (890579*s[15])/108 - (5619851*s[16])/594 - (11303305*s[17])/1188 - 
       (352891*s[18])/486 - (1322275*s[19])/972 - (31105579*s[20])/2673 - 
       (46015537*s[21])/10692 + (26499725*s[22])/10692 + (653743*s[23])/594 + 
       (17579660*s[24])/2673 - (1106385059*s[25])/192456 + 
       (707425625*s[26])/192456 - (32*s[31])/3 - 5*s[32] - (19*s[33])/2 + 
       (62*s[34])/3 + (44*s[35])/3 + (53*s[36])/3 - (337*s[37])/6 - 
       (140*s[38])/3 + (1357*s[39])/12 - (95*s[40])/4 - (209*s[41])/12 - 
       (2645*s[42])/12 + (49297*s[43])/132 - (25907*s[44])/88 + 
       (140087*s[45])/132 - (173570*s[46])/33 - (45887*s[47])/88 + 
       (97047*s[48])/88 - (486355*s[49])/264 + (152254*s[50])/33 - 
       (148903*s[51])/792 - (93967*s[52])/264 - (348553*s[53])/99 - 
       (14449*s[54])/22 - (19238027*s[55])/792 - (4196815*s[56])/792 - 
       (3388408*s[57])/297 - (27489155*s[58])/7128 + (35088575*s[59])/7128 + 
       (9040415*s[60])/176 - (46927361*s[61])/16038 - s[62]/3 - 
       (46*s[68])/3 + (46*s[69])/3 + (2*s[71])/3 + (8*s[74])/3 - 
       (8*s[75])/3 + 11*s[76] - (46*s[77])/3 - (32*s[78])/3 + (56*s[79])/3 - 
       (86*s[80])/3 + 951*s[82] + 184*s[85]) + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*((575*s[2])/24 + 
       (3307*s[3])/48 + (59137*s[4])/32 + (15625*s[5])/11 + 
       (1233681*s[6])/352 + (599913295*s[7])/19008 - (73843595*s[8])/28512 - 
       (8621483*s[9])/324 - (2748829*s[10])/324 - (657619571*s[11])/19008 - 
       (358555685*s[12])/9504 - (427627807*s[13])/19008 - 
       (83491865*s[14])/19008 - (72731081*s[15])/1728 - 
       (31744553*s[16])/594 - (262984891*s[17])/6336 - 
       (22738585*s[18])/3888 - (36499111*s[19])/7776 - 
       (5407816699*s[20])/85536 - (3930216695*s[21])/171072 + 
       (2833900195*s[22])/171072 + (337970887*s[23])/9504 + 
       (2959851641*s[24])/85536 - (1054835525*s[25])/24057 + 
       (9333780017*s[26])/384912 + s[27]/6 + s[28]/12 - 5*s[29] + 
       (23*s[30])/6 + (9*s[31])/2 - 2*s[32] - (295*s[33])/48 + (4*s[34])/3 - 
       (65*s[35])/4 - (2483*s[36])/36 + (273*s[37])/4 + (12295*s[38])/12 - 
       (12647*s[39])/3 + (170285*s[40])/36 - (44813*s[41])/12 + 
       (877141*s[42])/144 + (750413*s[43])/198 - (12674771*s[44])/3168 + 
       (597637*s[45])/132 - (13781821*s[46])/396 + (12802975*s[47])/9504 + 
       (6857695*s[48])/9504 - (164333251*s[49])/9504 + (2655448*s[50])/99 + 
       (39959021*s[51])/9504 + (31645523*s[52])/9504 - (5548259*s[53])/297 + 
       (444733*s[54])/792 - (41797131*s[55])/352 - (298238773*s[56])/9504 + 
       (202046893*s[57])/7128 - (4580833805*s[58])/85536 + 
       (4640346701*s[59])/85536 + (16291400641*s[60])/57024 - 
       (5945932147*s[61])/384912 + s[64]/6 - (5*s[65])/6 - (5*s[66])/2 + 
       (35*s[67])/6 + (23*s[68])/6 + (31*s[69])/6 + (15*s[70])/2 - s[71]/2 + 
       (95*s[72])/6 - 12*s[73] - (461*s[74])/24 + (467*s[75])/24 - 
       (41*s[76])/3 - (75*s[77])/4 + (56*s[78])/3 + (1055*s[79])/3 - 
       (275*s[80])/3 + 740*s[82] + (7*s[83])/4 + 181*s[84] + 184*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      ((319*s[2])/24 + (1895*s[3])/16 + (234013*s[4])/96 + 
       (229133*s[5])/132 + (1533973*s[6])/352 + (28014737*s[7])/704 - 
       (94493239*s[8])/28512 - (43409461*s[9])/1296 - (6878995*s[10])/648 - 
       (829134007*s[11])/19008 - (28268563*s[12])/594 - 
       (541083157*s[13])/19008 - (95091499*s[14])/19008 - 
       (92082197*s[15])/1728 - (640895699*s[16])/9504 - 
       (994809601*s[17])/19008 - (13841053*s[18])/1944 - 
       (48256283*s[19])/7776 - (6770088287*s[20])/85536 - 
       (4867191121*s[21])/171072 + (3570201341*s[22])/171072 + 
       (430900387*s[23])/9504 + (3740768191*s[24])/85536 - 
       (42820981025*s[25])/769824 + (23410148981*s[26])/769824 - s[28]/2 - 
       (29*s[29])/6 + (41*s[30])/6 + (15*s[31])/2 - (47*s[32])/4 - 
       (265*s[33])/48 - (47*s[34])/6 - (121*s[35])/6 - (769*s[36])/8 + 
       (4115*s[37])/36 + (10355*s[38])/8 - (512561*s[39])/96 + 
       (572477*s[40])/96 - (150501*s[41])/32 + (741595*s[42])/96 + 
       (4990607*s[43])/1056 - (10623047*s[44])/2112 + (8837051*s[45])/1584 - 
       (137368309*s[46])/3168 + (1230817*s[47])/704 + (501319*s[48])/704 - 
       (45875281*s[49])/2112 + (8872625*s[50])/264 + (33815731*s[51])/6336 + 
       (8833699*s[52])/2112 - (27809149*s[53])/1188 + (222445*s[54])/396 - 
       (939463355*s[55])/6336 - (736004147*s[56])/19008 + 
       (506652107*s[57])/14256 - (11393867785*s[58])/171072 + 
       (11586125335*s[59])/171072 + (13540268605*s[60])/38016 - 
       (29376014203*s[61])/1539648 + (8*s[63])/3 + s[64]/12 - (11*s[65])/6 - 
       (19*s[66])/3 + 10*s[67] + (23*s[68])/6 + (65*s[69])/6 - (23*s[70])/6 + 
       s[71]/12 + (74*s[72])/3 - (97*s[73])/4 - (319*s[74])/12 + 
       (161*s[75])/6 - (41*s[76])/2 - (59*s[77])/6 + (371*s[78])/12 + 
       463*s[79] - (4361*s[80])/36 + 746*s[82] + (13*s[83])/2 + 
       (395*s[84])/2 + 184*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*((69*s[2])/2 - (115*s[3])/4 + 
       (3217*s[4])/2 + (22871*s[5])/22 + (127573*s[6])/44 + 
       (41251853*s[7])/1584 - (2385899*s[8])/1188 - (4776479*s[9])/216 - 
       (742811*s[10])/108 - (45746077*s[11])/1584 - (12584381*s[12])/396 - 
       (30859055*s[13])/1584 - (4770655*s[14])/1584 - (4877941*s[15])/144 - 
       (4318844*s[16])/99 - (17311627*s[17])/528 - (2995927*s[18])/648 - 
       (2502275*s[19])/648 - (366167837*s[20])/7128 - 
       (264030793*s[21])/14256 + (197235017*s[22])/14256 + 
       (2963584*s[23])/99 + (25419221*s[24])/891 - (4725485023*s[25])/
        128304 + (2568113023*s[26])/128304 + 20*s[29] - (5*s[30])/2 + 
       21*s[31] + (101*s[33])/8 - (45*s[34])/2 + (23*s[35])/3 - 
       (76*s[36])/3 + (209*s[37])/4 + 987*s[38] - (45215*s[39])/12 + 
       (17221*s[40])/4 - (41023*s[41])/12 + (21609*s[42])/4 + 
       (13537*s[43])/4 - (7221*s[44])/2 + (85181*s[45])/24 - 
       (695305*s[46])/24 + (79669*s[47])/72 + (62635*s[48])/72 - 
       (1115917*s[49])/72 + (44837*s[50])/2 + (268457*s[51])/72 + 
       (107953*s[52])/36 - (1079153*s[53])/72 - (313*s[54])/3 - 
       (2299139*s[55])/24 - (606263*s[56])/24 + (86002*s[57])/3 - 
       (4949131*s[58])/108 + (9940619*s[59])/216 + (51929525*s[60])/216 - 
       (47110889*s[61])/3888 + (11*s[62])/2 + 3*s[65] + 8*s[66] - 10*s[67] - 
       2*s[68] - 21*s[69] + 34*s[70] - (13*s[71])/2 - 4*s[73] - 
       (91*s[74])/6 + (38*s[75])/3 - (52*s[76])/3 - (115*s[77])/3 - 
       18*s[78] + 518*s[79] - (239*s[80])/2 - s[81]/6 + 503*s[82] - 
       (87*s[83])/4 + (537*s[84])/2 + 190*s[85]) + HPL[{0, 1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - w]*(38*s[2] + (237*s[3])/2 + (4833*s[4])/2 + 
       (44599*s[5])/24 + (110005*s[6])/24 + (1103144*s[7])/27 - 
       (1043905*s[8])/324 - (11177977*s[9])/324 - (883430*s[10])/81 - 
       (19363577*s[11])/432 - (10535945*s[12])/216 - (4221595*s[13])/144 - 
       (2405189*s[14])/432 - (1315651*s[15])/24 - (3319555*s[16])/48 - 
       (23221921*s[17])/432 - (7192865*s[18])/972 - (12139343*s[19])/1944 - 
       (158802307*s[20])/1944 - (115906559*s[21])/3888 + 
       (83366311*s[22])/3888 + (6606713*s[23])/144 + (175338019*s[24])/3888 - 
       (1989888155*s[25])/34992 + (1102519187*s[26])/34992 + (20*s[29])/3 + 
       4*s[30] + (25*s[31])/3 + (71*s[32])/12 - s[33]/12 - (43*s[34])/3 - 
       (85*s[35])/3 - (1463*s[36])/18 + (1033*s[37])/12 + (8587*s[38])/6 - 
       (130715*s[39])/24 + (437417*s[40])/72 - (38171*s[41])/8 + 
       (560125*s[42])/72 + (353213*s[43])/72 - (45391*s[44])/9 + 
       (135085*s[45])/24 - (781403*s[46])/18 + (184631*s[47])/108 + 
       (181435*s[48])/216 - (1183645*s[49])/54 + (1196767*s[50])/36 + 
       (1158869*s[51])/216 + (943991*s[52])/216 - (4983463*s[53])/216 + 
       (8006*s[54])/9 - (3533453*s[55])/24 - (1054259*s[56])/27 + 
       (24867565*s[57])/648 - (131775977*s[58])/1944 + 
       (133744799*s[59])/1944 + (460811161*s[60])/1296 - 
       (83248817*s[61])/4374 + s[64]/4 + (5*s[65])/6 + (7*s[66])/3 - 
       (25*s[67])/3 - (5*s[68])/6 - (43*s[69])/3 + (85*s[70])/6 - 
       (47*s[71])/6 + (38*s[72])/3 + (29*s[73])/3 - 19*s[74] + (83*s[75])/4 - 
       (89*s[76])/3 - (43*s[77])/3 + (59*s[78])/3 + 447*s[79] - 
       (427*s[80])/6 + 281*s[82] - s[83]/4 + (415*s[84])/2 + 192*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      ((533*s[2])/24 + (1439*s[3])/16 + (265009*s[4])/96 + (164271*s[5])/88 + 
       (5076215*s[6])/1056 + (833224771*s[7])/19008 - 
       (105676679*s[8])/28512 - (47779403*s[9])/1296 - (926971*s[10])/81 - 
       (916360943*s[11])/19008 - (62818381*s[12])/1188 - 
       (602628253*s[13])/19008 - (95077883*s[14])/19008 - 
       (100727933*s[15])/1728 - (703179647*s[16])/9504 - 
       (119787185*s[17])/2112 - (1912585*s[18])/243 - (52086739*s[19])/7776 - 
       (7416040579*s[20])/85536 - (5324069513*s[21])/171072 + 
       (3935745397*s[22])/171072 + (488866651*s[23])/9504 + 
       (4098058307*s[24])/85536 - (47492707309*s[25])/769824 + 
       (25843442929*s[26])/769824 - s[28]/12 - (25*s[29])/3 + (17*s[30])/2 + 
       (7*s[31])/2 - (17*s[32])/12 - (77*s[33])/48 - (77*s[34])/6 - 
       (355*s[35])/12 - (3925*s[36])/36 + (9389*s[37])/72 + 
       (17921*s[38])/12 - (48623*s[39])/8 + (487301*s[40])/72 - 
       (15962*s[41])/3 + (632293*s[42])/72 + (386987*s[43])/72 - 
       (408881*s[44])/72 + (874301*s[45])/144 - (2305471*s[46])/48 + 
       (869159*s[47])/432 + (315017*s[48])/432 - (10597985*s[49])/432 + 
       (2663939*s[50])/72 + (2592919*s[51])/432 + (128638*s[52])/27 - 
       (617567*s[53])/24 + (1870*s[54])/3 - (11723107*s[55])/72 - 
       (18386695*s[56])/432 + (54404569*s[57])/1296 - 
       (289315913*s[58])/3888 + (147262669*s[59])/1944 + 
       (509626951*s[60])/1296 - (1454878615*s[61])/69984 - (5*s[62])/6 - 
       s[64]/6 - (17*s[65])/12 - 4*s[66] + (22*s[67])/3 + 8*s[68] + 6*s[69] - 
       (3*s[70])/2 - s[71]/4 + (161*s[72])/6 - 14*s[73] - (713*s[74])/24 + 
       (727*s[75])/24 - (56*s[76])/3 - (25*s[77])/12 + (247*s[78])/6 + 
       (1550*s[79])/3 - (4639*s[80])/36 + s[81]/24 + 692*s[82] + 7*s[83] + 
       (453*s[84])/2 + 192*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*((107*s[2])/6 - (117*s[3])/4 + 
       (2863*s[4])/6 + (12245*s[5])/33 + (231739*s[6])/264 + 
       (10259917*s[7])/1188 - (5590075*s[8])/7128 - (4756781*s[9])/648 - 
       (761201*s[10])/324 - (45235141*s[11])/4752 - (49474481*s[12])/4752 - 
       (538579*s[13])/88 - (1920137*s[14])/2376 - (410545*s[15])/36 - 
       (11672327*s[16])/792 - (53536391*s[17])/4752 - (764413*s[18])/486 - 
       (1220527*s[19])/972 - (45726841*s[20])/2673 - (65734627*s[21])/10692 + 
       (49218593*s[22])/10692 + (5583395*s[23])/528 + 
       (399609779*s[24])/42768 - (4662716917*s[25])/384912 + 
       (2514408331*s[26])/384912 - 2*s[29] + 4*s[30] + (46*s[31])/3 - 
       (17*s[32])/3 + (29*s[33])/6 - (53*s[34])/3 - (19*s[35])/3 - 
       (631*s[36])/18 + (106*s[37])/3 + (1463*s[38])/6 - (15047*s[39])/12 + 
       (50171*s[40])/36 - (13331*s[41])/12 + (33917*s[42])/18 + 
       (433801*s[43])/396 - (947831*s[44])/792 + (365921*s[45])/264 - 
       (8570279*s[46])/792 + (836659*s[47])/2376 + (404293*s[48])/2376 - 
       (6334409*s[49])/1188 + (855907*s[50])/99 + (1453879*s[51])/1188 + 
       (2015567*s[52])/2376 - (14349961*s[53])/2376 - (72989*s[54])/198 - 
       (29785897*s[55])/792 - (2903291*s[56])/297 + (29587067*s[57])/3564 - 
       (349055057*s[58])/21384 + (89566583*s[59])/5346 + 
       (1273798729*s[60])/14256 - (1883236819*s[61])/384912 - s[65]/3 - 
       (4*s[66])/3 + (8*s[67])/3 + (20*s[68])/3 - (4*s[69])/3 - (4*s[70])/3 + 
       (29*s[71])/6 + (40*s[72])/3 - (32*s[73])/3 - 5*s[74] + (15*s[75])/2 - 
       (80*s[76])/3 - s[77]/3 + (62*s[78])/3 + 74*s[79] - 14*s[80] + 
       974*s[82] + (7*s[83])/4 + (279*s[84])/2 + 196*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      ((-59*s[2])/6 - (67*s[3])/4 + (35771*s[4])/24 + (139735*s[5])/132 + 
       (731363*s[6])/264 + (121278473*s[7])/4752 - (13182773*s[8])/7128 - 
       (7067537*s[9])/324 - (570211*s[10])/81 - (133823477*s[11])/4752 - 
       (36506809*s[12])/1188 - (9827555*s[13])/528 - (18190529*s[14])/4752 - 
       (4861565*s[15])/144 - (34188571*s[16])/792 - (157328335*s[17])/4752 - 
       (4422415*s[18])/972 - (7629307*s[19])/1944 - (1104360445*s[20])/
        21384 - (801605279*s[21])/42768 + (581756335*s[22])/42768 + 
       (7186735*s[23])/264 + (609621365*s[24])/21384 - 
       (6824583025*s[25])/192456 + (3776256493*s[26])/192456 + (3*s[28])/2 + 
       10*s[29] - 2*s[30] + (8*s[31])/3 - (77*s[32])/6 - (61*s[33])/12 + 
       (41*s[34])/3 - (14*s[35])/3 - (431*s[36])/18 + (55*s[37])/6 + 
       (5389*s[38])/6 - (79601*s[39])/24 + (281591*s[40])/72 - 
       (75107*s[41])/24 + (339667*s[42])/72 + (2528557*s[43])/792 - 
       (5323679*s[44])/1584 + (121271*s[45])/33 - (22277635*s[46])/792 + 
       (3568957*s[47])/4752 + (6072535*s[48])/4752 - (69109831*s[49])/4752 + 
       (4353205*s[50])/198 + (15875987*s[51])/4752 + (12597293*s[52])/4752 - 
       (34839737*s[53])/2376 - (242093*s[54])/396 - (150493621*s[55])/1584 - 
       (118067317*s[56])/4752 + (42155843*s[57])/1782 - 
       (1863784391*s[58])/42768 + (1871494385*s[59])/42768 + 
       (6753609817*s[60])/28512 - (4649427941*s[61])/384912 - 6*s[63] + 
       (16*s[65])/3 + (40*s[66])/3 - (53*s[67])/3 - (32*s[68])/3 - 
       (95*s[69])/3 + (175*s[70])/3 - (59*s[71])/6 - (28*s[72])/3 + 
       (38*s[73])/3 - (15*s[74])/2 + (19*s[75])/2 + (8*s[76])/3 - 
       (215*s[77])/3 - (104*s[78])/3 + 536*s[79] - 129*s[80] + 683*s[82] - 
       (91*s[83])/4 + (453*s[84])/2 + 206*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((58*s[2])/3 + (320*s[3])/3 + (18107*s[4])/12 + (146167*s[5])/132 + 
       (31475*s[6])/11 + (10080583*s[7])/396 - (1207729*s[8])/594 - 
       (1158071*s[9])/54 - (751211*s[10])/108 - (2757013*s[11])/99 - 
       (5985751*s[12])/198 - (2386663*s[13])/132 - (1421665*s[14])/396 - 
       (409949*s[15])/12 - (1427077*s[16])/33 - (13403825*s[17])/396 - 
       (1510457*s[18])/324 - (1267219*s[19])/324 - (181821001*s[20])/3564 - 
       (32927735*s[21])/1782 + (47542019*s[22])/3564 + (3742105*s[23])/132 + 
       (99934163*s[24])/3564 - (283232797*s[25])/8019 + 
       (312975059*s[26])/16038 + 3*s[30] + (10*s[31])/3 - (10*s[32])/3 + 
       s[33]/4 + s[34]/3 - (425*s[36])/9 + (335*s[37])/9 + (2347*s[38])/3 - 
       (39169*s[39])/12 + (133607*s[40])/36 - (35309*s[41])/12 + 
       (169423*s[42])/36 + (1209181*s[43])/396 - (2525309*s[44])/792 + 
       (377042*s[45])/99 - (3757913*s[46])/132 + (2148433*s[47])/2376 + 
       (2028115*s[48])/2376 - (33047677*s[49])/2376 + (2188882*s[50])/99 + 
       (7704701*s[51])/2376 + (6046355*s[52])/2376 - (6093859*s[53])/396 + 
       (4211*s[54])/22 - (77799449*s[55])/792 - (61149755*s[56])/2376 + 
       (18076750*s[57])/891 - (919272025*s[58])/21384 + 
       (933045679*s[59])/21384 + (3356698747*s[60])/14256 - 
       (2462225215*s[61])/192456 - 4*s[68] + 4*s[69] + 2*s[70] - 2*s[71] + 
       12*s[72] - 13*s[74] + 13*s[75] - (32*s[76])/3 - (28*s[77])/3 + 
       (22*s[78])/3 + (940*s[79])/3 - (728*s[80])/9 + 768*s[82] + 144*s[84] + 
       208*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*((-16*s[2])/9 + (518*s[3])/3 + (7286*s[4])/9 + 
       (16730*s[5])/33 + (2233511*s[6])/1584 + (7798547*s[7])/594 - 
       (14764391*s[8])/14256 - (14106667*s[9])/1296 - (650857*s[10])/162 - 
       (135474641*s[11])/9504 - (144930301*s[12])/9504 - (788971*s[13])/88 - 
       (10540663*s[14])/4752 - (3989861*s[15])/216 - (2024065*s[16])/88 - 
       (178876075*s[17])/9504 - (4054465*s[18])/1944 - (5264201*s[19])/1944 - 
       (1151722645*s[20])/42768 - (401783785*s[21])/42768 + 
       (18155843*s[22])/2673 + (39810209*s[23])/3168 + 
       (1320047479*s[24])/85536 - (13936942205*s[25])/769824 + 
       (7596673001*s[26])/769824 - (14*s[29])/3 + 4*s[30] - (130*s[31])/9 - 
       (23*s[32])/6 - (47*s[33])/12 + (224*s[34])/9 + (107*s[35])/9 - 
       (253*s[36])/27 - (1865*s[37])/108 + (3605*s[38])/12 - (4927*s[39])/4 + 
       (159241*s[40])/108 - (13925*s[41])/12 + (364417*s[42])/216 + 
       (1658945*s[43])/1188 - (7071101*s[44])/4752 + (2413375*s[45])/1188 - 
       (5483861*s[46])/396 + (841981*s[47])/14256 + (14280505*s[48])/14256 - 
       (47458115*s[49])/7128 + (6582721*s[50])/594 + (8511871*s[51])/7128 + 
       (10997933*s[52])/14256 - (9206689*s[53])/1188 - (424267*s[54])/792 - 
       (240604061*s[55])/4752 - (88915261*s[56])/7128 + 
       (44649265*s[57])/21384 - (1202929787*s[58])/64152 + 
       (312592505*s[59])/16038 + (5133533495*s[60])/42768 - 
       (923409695*s[61])/144342 - (2*s[62])/3 - (4*s[65])/3 - (16*s[66])/3 + 
       (22*s[67])/3 - (110*s[68])/9 + (224*s[69])/9 + (4*s[70])/3 + 
       (2*s[71])/3 + (26*s[72])/3 - 10*s[73] - (35*s[74])/9 + (35*s[75])/9 + 
       (88*s[76])/9 - (179*s[77])/9 + (32*s[78])/9 + (1472*s[79])/9 - 
       (2101*s[80])/27 + (6433*s[82])/6 + 4*s[83] + 24*s[84] + 
       (632*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*(4*s[2] + (131*s[3])/4 + 1267*s[4] + 
       (11854*s[5])/11 + (217125*s[6])/88 + (18524177*s[7])/792 - 
       (4235327*s[8])/2376 - (4285237*s[9])/216 - (728647*s[10])/108 - 
       (40314053*s[11])/1584 - (43400575*s[12])/1584 - (3186119*s[13])/198 - 
       (1478819*s[14])/396 - (2288623*s[15])/72 - (31788935*s[16])/792 - 
       (16866541*s[17])/528 - (345889*s[18])/81 - (1216457*s[19])/324 - 
       (85165441*s[20])/1782 - (124176055*s[21])/7128 + 
       (87811337*s[22])/7128 + (39025013*s[23])/1584 + 
       (372253393*s[24])/14256 - (4099050767*s[25])/128304 + 
       (2293202009*s[26])/128304 - 4*s[30] - 6*s[31] - s[32] - (55*s[33])/4 + 
       18*s[34] - (26*s[35])/3 - (259*s[36])/6 + (11*s[37])/3 + 600*s[38] - 
       (32701*s[39])/12 + (12721*s[40])/4 - (15475*s[41])/6 + 3934*s[42] + 
       (116603*s[43])/44 - (251947*s[44])/88 + (322951*s[45])/88 - 
       (7013249*s[46])/264 + (467947*s[47])/792 + (892921*s[48])/792 - 
       (4985315*s[49])/396 + (924897*s[50])/44 + (535619*s[51])/198 + 
       (1599449*s[52])/792 - (11583535*s[53])/792 - (22667*s[54])/44 - 
       (24779219*s[55])/264 - (2400818*s[56])/99 + (16519739*s[57])/1188 - 
       (276070571*s[58])/7128 + (140343655*s[59])/3564 + 
       (1059911587*s[60])/4752 - (1574613169*s[61])/128304 - s[64] - 
       s[65]/2 + 3*s[67] - 2*s[68] + 7*s[69] + 5*s[70] + 2*s[71] + 6*s[72] + 
       4*s[73] - (37*s[74])/3 + (71*s[75])/6 - (11*s[76])/3 - (35*s[77])/3 - 
       2*s[78] + 304*s[79] - (299*s[80])/3 + 1154*s[82] + (3*s[83])/4 + 
       (195*s[84])/2 + 212*s[85]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((2041*s[2])/72 + (6839*s[3])/144 + 
       (787001*s[4])/288 + (240467*s[5])/144 + (1341355*s[6])/288 + 
       (217612445*s[7])/5184 - (27326911*s[8])/7776 - (137647829*s[9])/3888 - 
       (41787331*s[10])/3888 - (240379327*s[11])/5184 - 
       (66324761*s[12])/1296 - (160727609*s[13])/5184 - 
       (22721503*s[14])/5184 - (284681369*s[15])/5184 - 
       (91159907*s[16])/1296 - (91464907*s[17])/1728 - 
       (88498777*s[18])/11664 - (142053091*s[19])/23328 - 
       (1923873287*s[20])/23328 - (1372706833*s[21])/46656 + 
       (1032939173*s[22])/46656 + (65519929*s[23])/1296 + 
       (66374605*s[24])/1458 - (12501581549*s[25])/209952 + 
       (6743529059*s[26])/209952 + s[27]/2 + 2*s[28] + 18*s[29] + 
       (83*s[30])/12 + (254*s[31])/9 + (37*s[32])/18 + (251*s[33])/9 - 
       (919*s[34])/36 - (307*s[35])/36 - (8663*s[36])/108 + 
       (26201*s[37])/216 + (53639*s[38])/36 - (426787*s[39])/72 + 
       (1449019*s[40])/216 - (381767*s[41])/72 + (1855709*s[42])/216 + 
       (12512903*s[43])/2376 - (13268627*s[44])/2376 + 
       (27662053*s[45])/4752 - (220726013*s[46])/4752 + 
       (3446431*s[47])/1782 + (6400885*s[48])/7128 - (21184079*s[49])/891 + 
       (84834005*s[50])/2376 + (21363103*s[51])/3564 + (8531219*s[52])/1782 - 
       (348579751*s[53])/14256 + (1048873*s[54])/1188 - 
       (369238301*s[55])/2376 - (12329248*s[56])/297 + 
       (104829335*s[57])/2376 - (1561961363*s[58])/21384 + 
       (786687367*s[59])/10692 + (32612523533*s[60])/85536 - 
       (3855152581*s[61])/192456 + 4*s[62] + (7*s[65])/18 + (5*s[66])/9 - 
       (34*s[67])/9 + (47*s[68])/9 - (124*s[69])/9 + (236*s[70])/9 - 
       (215*s[71])/36 + (295*s[72])/18 - 12*s[73] - (607*s[74])/24 + 
       (571*s[75])/24 - (785*s[76])/18 - (1159*s[77])/36 + (104*s[78])/9 + 
       (6004*s[79])/9 - (15349*s[80])/108 - s[81]/6 + 589*s[82] - 
       (79*s[83])/6 + 302*s[84] + (656*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
      ((35*s[2])/2 + (255*s[3])/4 + (13353*s[4])/8 + (706643*s[5])/528 + 
       (566155*s[6])/176 + (34759481*s[7])/1188 - (33113885*s[8])/14256 - 
       (32058385*s[9])/1296 - (10358273*s[10])/1296 - 
       (152040343*s[11])/4752 - (165062081*s[12])/4752 - 
       (98327231*s[13])/4752 - (5160811*s[14])/1188 - (16963087*s[15])/432 - 
       (236073239*s[16])/4752 - (30778475*s[17])/792 - 
       (20952761*s[18])/3888 - (8622275*s[19])/1944 - 
       (2521482907*s[20])/42768 - (457810253*s[21])/21384 + 
       (41104031*s[22])/2673 + (76350473*s[23])/2376 + 
       (86280803*s[24])/2673 - (31141125845*s[25])/769824 + 
       (17265470219*s[26])/769824 - s[28]/12 - s[29]/3 + (5*s[30])/2 + 
       (13*s[31])/3 + (13*s[32])/12 - (79*s[33])/12 - (4*s[34])/3 - 
       (41*s[35])/6 - (3857*s[36])/72 + (1993*s[37])/36 + (22921*s[38])/24 - 
       (372965*s[39])/96 + (1266611*s[40])/288 - (334687*s[41])/96 + 
       (1608469*s[42])/288 + (11343169*s[43])/3168 - (23983907*s[44])/6336 + 
       (7073257*s[45])/1584 - (35374271*s[46])/1056 + 
       (21399613*s[47])/19008 + (17263063*s[48])/19008 - 
       (312500431*s[49])/19008 + (10287041*s[50])/396 + 
       (73582283*s[51])/19008 + (57314945*s[52])/19008 - 
       (14332969*s[53])/792 + (26737*s[54])/88 - (732987989*s[55])/6336 - 
       (575806853*s[56])/19008 + (344027885*s[57])/14256 - 
       (8668689715*s[58])/171072 + (8807466457*s[59])/171072 + 
       (31601951185*s[60])/114048 - (23084090707*s[61])/1539648 + s[64]/6 - 
       (2*s[66])/3 + s[67]/3 - (11*s[68])/6 + (7*s[69])/6 + (37*s[70])/6 - 
       (29*s[71])/12 + (37*s[72])/3 - (25*s[73])/4 - (185*s[74])/12 + 
       (95*s[75])/6 - (67*s[76])/6 - (25*s[77])/2 + (91*s[78])/12 + 
       358*s[79] - (3295*s[80])/36 + (1921*s[82])/2 - s[83]/4 + 
       (327*s[84])/2 + 222*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1}, 1 - u]*((-23*s[2])/6 + (317*s[3])/2 + 
       (2177*s[4])/12 + (27879*s[5])/88 + (184597*s[6])/264 + 
       (1180535*s[7])/198 - (590135*s[8])/2376 - (1072447*s[9])/216 - 
       (542027*s[10])/216 - (4856767*s[11])/792 - (580699*s[12])/99 - 
       (2530271*s[13])/792 - (2019313*s[14])/792 - (227519*s[15])/24 - 
       (8915279*s[16])/792 - (1430161*s[17])/132 - (633497*s[18])/648 - 
       (249037*s[19])/162 - (12381188*s[20])/891 - (9141727*s[21])/1782 + 
       (21511601*s[22])/7128 + (1341919*s[23])/792 + (27995167*s[24])/3564 - 
       (914082137*s[25])/128304 + (574876781*s[26])/128304 - s[27]/4 - 
       (55*s[31])/3 - 5*s[32] - 13*s[33] + (101*s[34])/3 + (104*s[35])/3 + 
       (719*s[36])/36 - (2501*s[37])/36 - (119*s[38])/4 + (1559*s[39])/16 + 
       (2965*s[40])/144 - (1363*s[41])/16 - (34993*s[42])/144 + 
       (657695*s[43])/1584 - (1201909*s[44])/3168 + (119431*s[45])/99 - 
       (3175211*s[46])/528 - (5354449*s[47])/9504 + (12044933*s[48])/9504 - 
       (20202245*s[49])/9504 + (520907*s[50])/99 - (1015799*s[51])/9504 - 
       (3086057*s[52])/9504 - (6032233*s[53])/1584 - (217981*s[54])/264 - 
       (84131023*s[55])/3168 - (56552071*s[56])/9504 - 
       (78638723*s[57])/7128 - (426776789*s[58])/85536 + 
       (488314019*s[59])/85536 + (3335937467*s[60])/57024 - 
       (2571997319*s[61])/769824 - (56*s[68])/3 + (56*s[69])/3 - 
       (5*s[71])/4 + (13*s[74])/3 - (13*s[75])/3 + (55*s[76])/3 - 
       (56*s[77])/3 - (52*s[78])/3 + (104*s[79])/3 - (623*s[80])/18 + 
       1139*s[82] + 224*s[85]) + HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u]*
      ((91*s[2])/12 + (55*s[3])/2 + (31397*s[4])/12 + (462475*s[5])/264 + 
       (603269*s[6])/132 + (200593441*s[7])/4752 - (12485129*s[8])/3564 - 
       (11547871*s[9])/324 - (1789111*s[10])/162 - (221631529*s[11])/4752 - 
       (244352555*s[12])/4752 - (12271049*s[13])/396 - (5792503*s[14])/1188 - 
       (7967891*s[15])/144 - (37423327*s[16])/528 - (254394959*s[17])/4752 - 
       (1845371*s[18])/243 - (1549354*s[19])/243 - (223385578*s[20])/2673 - 
       (159902519*s[21])/5346 + (476391175*s[22])/21384 + 
       (19293097*s[23])/396 + (247700449*s[24])/5346 - 
       (2867410727*s[25])/48114 + (777552736*s[26])/24057 + s[27]/2 + 
       s[28]/2 - s[29] + 4*s[30] + (29*s[31])/6 - (83*s[32])/12 - 
       (505*s[33])/24 + (10*s[34])/3 - (121*s[35])/6 - (752*s[36])/9 + 
       (241*s[37])/2 + (4660*s[38])/3 - (35891*s[39])/6 + (121645*s[40])/18 - 
       (21225*s[41])/4 + (617201*s[42])/72 + (48398*s[43])/9 - 
       (816977*s[44])/144 + (36611*s[45])/6 - (429062*s[46])/9 + 
       (804727*s[47])/432 + (496831*s[48])/432 - (10568191*s[49])/432 + 
       (330548*s[50])/9 + (2596241*s[51])/432 + (2072105*s[52])/432 - 
       (5420675*s[53])/216 + (7181*s[54])/18 - (23047771*s[55])/144 - 
       (18237193*s[56])/432 + (13987333*s[57])/324 - (289668605*s[58])/3888 + 
       (291768485*s[59])/3888 + (1019374021*s[60])/2592 - 
       (360340459*s[61])/17496 - 2*s[63] + s[64]/2 + (13*s[65])/6 + 
       (25*s[66])/6 - (7*s[67])/3 + (11*s[68])/3 - (95*s[69])/6 + 
       (107*s[70])/3 - (17*s[71])/3 + (25*s[72])/3 + (19*s[73])/3 - 
       (269*s[74])/12 + (281*s[75])/12 - (29*s[76])/2 - (98*s[77])/3 - 
       (19*s[78])/3 + 619*s[79] - (461*s[80])/3 + 816*s[82] - (25*s[83])/2 + 
       279*s[84] + 224*s[85]) + HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]*
      ((146*s[2])/3 + (1531*s[3])/24 + (129721*s[4])/48 + (121415*s[5])/66 + 
       (2539633*s[6])/528 + (416062577*s[7])/9504 - (51988525*s[8])/14256 - 
       (5977243*s[9])/162 - (7426427*s[10])/648 - (459415849*s[11])/9504 - 
       (252876241*s[12])/4752 - (304889993*s[13])/9504 - 
       (47997799*s[14])/9504 - (49731007*s[15])/864 - 
       (174956483*s[16])/2376 - (176783785*s[17])/3168 - 
       (15407441*s[18])/1944 - (25409219*s[19])/3888 - 
       (3705000887*s[20])/42768 - (2665425553*s[21])/85536 + 
       (1972792313*s[22])/85536 + (242741087*s[23])/4752 + 
       (2048345623*s[24])/42768 - (1485690884*s[25])/24057 + 
       (1617882955*s[26])/48114 - s[28] + 2*s[29] + (7*s[30])/2 + 
       (44*s[31])/3 - (23*s[32])/6 + (19*s[33])/6 - (46*s[34])/3 - 
       (40*s[35])/3 - (3209*s[36])/36 + (1114*s[37])/9 + (9475*s[38])/6 - 
       (298433*s[39])/48 + (1005455*s[40])/144 - (262381*s[41])/48 + 
       (1285189*s[42])/144 + (8800669*s[43])/1584 - (18619709*s[44])/3168 + 
       (4927457*s[45])/792 - (77727029*s[46])/1584 + (18890527*s[47])/9504 + 
       (10123945*s[48])/9504 - (240984457*s[49])/9504 + 
       (29868089*s[50])/792 + (58316957*s[51])/9504 + (46824035*s[52])/9504 - 
       (123023965*s[53])/4752 + (188257*s[54])/396 - (521741663*s[55])/3168 - 
       (137660873*s[56])/3168 + (3932491*s[57])/88 - (2186765279*s[58])/
        28512 + (2208981629*s[59])/28512 + (23038433251*s[60])/57024 - 
       (5436230101*s[61])/256608 + 3*s[62] - s[65]/12 + s[66]/6 + 
       (8*s[67])/3 + (61*s[68])/6 - (29*s[69])/6 + (163*s[70])/6 - 
       (8*s[71])/3 + (56*s[72])/3 - 16*s[73] - (101*s[74])/4 + (95*s[75])/4 - 
       (131*s[76])/6 - (149*s[77])/6 + (56*s[78])/3 + (1786*s[79])/3 - 
       (1351*s[80])/9 - s[81]/12 + 816*s[82] - (25*s[83])/2 + 279*s[84] + 
       224*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((9*s[2])/4 + (1909*s[3])/24 + (132053*s[4])/48 + 
       (47732*s[5])/33 + (2239067*s[6])/528 + (378088499*s[7])/9504 - 
       (50524561*s[8])/14256 - (10801259*s[9])/324 - (6559193*s[10])/648 - 
       (418630417*s[11])/9504 - (116234039*s[12])/2376 - 
       (279991127*s[13])/9504 - (32258341*s[14])/9504 - 
       (44976349*s[15])/864 - (158888525*s[16])/2376 - 
       (158005085*s[17])/3168 - (6731089*s[18])/972 - (24036401*s[19])/3888 - 
       (3324393161*s[20])/42768 - (2325891691*s[21])/85536 + 
       (1790944007*s[22])/85536 + (115299541*s[23])/2376 + 
       (464349295*s[24])/10692 - (21939191765*s[25])/384912 + 
       (11647051469*s[26])/384912 - (22*s[29])/3 + 3*s[30] + s[31]/3 + 
       (13*s[32])/3 + (55*s[33])/24 - (7*s[34])/3 + (13*s[35])/2 - 
       (283*s[36])/3 + (3355*s[37])/36 + 1438*s[38] - (46807*s[39])/8 + 
       (52911*s[40])/8 - (41939*s[41])/8 + (67937*s[42])/8 + 
       (1357571*s[43])/264 - (367409*s[44])/66 + (4554413*s[45])/792 - 
       (18210781*s[46])/396 + (742217*s[47])/396 + (714181*s[48])/792 - 
       (4696009*s[49])/198 + (1176556*s[50])/33 + (4638845*s[51])/792 + 
       (3667673*s[52])/792 - (58006945*s[53])/2376 + (89849*s[54])/396 - 
       (40910849*s[55])/264 - (48288853*s[56])/1188 + 
       (301283135*s[57])/7128 - (1536553861*s[58])/21384 + 
       (1555038817*s[59])/21384 + (1798858229*s[60])/4752 - 
       (3808955407*s[61])/192456 + 5*s[62] - (5*s[66])/3 + (14*s[67])/3 + 
       (2*s[68])/3 + (20*s[69])/3 + (79*s[70])/3 - (14*s[71])/3 + 19*s[72] - 
       (43*s[73])/3 - (367*s[74])/12 + (347*s[75])/12 - (65*s[76])/3 - 
       (299*s[77])/6 + (50*s[78])/3 + (1928*s[79])/3 - (2657*s[80])/18 - 
       s[81]/6 + 784*s[82] - 10*s[83] + 296*s[84] + 224*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u]*
      (-s[1]/3 + (109*s[2])/6 + (623*s[3])/6 + (1237*s[4])/6 + 
       (149417*s[5])/264 + (10893*s[6])/11 + (42603811*s[7])/4752 - 
       (455959*s[8])/1188 - (1655167*s[9])/216 - (740015*s[10])/216 - 
       (2473703*s[11])/264 - (14564683*s[12])/1584 - (24837107*s[13])/4752 - 
       (1744625*s[14])/528 - (5905129*s[15])/432 - (4855445*s[16])/297 - 
       (17959609*s[17])/1188 - (326903*s[18])/216 - (71501*s[19])/36 - 
       (24056513*s[20])/1188 - (110688289*s[21])/14256 + 
       (66162835*s[22])/14256 + (18743239*s[23])/4752 + 
       (161660485*s[24])/14256 - (1405773865*s[25])/128304 + 
       (883404847*s[26])/128304 - s[28]/6 + 4*s[29] - (41*s[30])/6 - 
       (17*s[31])/3 - (5*s[32])/2 - (281*s[33])/24 + (43*s[34])/2 + 
       (53*s[35])/3 + (439*s[36])/9 - (181*s[37])/2 - (305*s[38])/6 + 
       (6127*s[39])/24 - (11909*s[40])/72 + (407*s[41])/8 - 
       (35869*s[42])/72 + (274409*s[43])/792 - (288247*s[44])/1584 + 
       (283441*s[45])/264 - (472651*s[46])/99 - (2961139*s[47])/4752 + 
       (5830391*s[48])/4752 - (7350779*s[49])/4752 + (420715*s[50])/99 - 
       (1745225*s[51])/4752 - (2045111*s[52])/4752 - (1894033*s[53])/594 - 
       (159587*s[54])/198 - (12061339*s[55])/528 - (23474801*s[56])/4752 - 
       (22601849*s[57])/1782 - (128433685*s[58])/42768 + 
       (166042489*s[59])/42768 + (1383901115*s[60])/28512 - 
       (543875087*s[61])/192456 + (4*s[64])/3 + 2*s[65] + (8*s[66])/3 - 
       4*s[67] - 15*s[68] + (16*s[69])/3 + (32*s[70])/3 - (10*s[71])/3 + 
       (2*s[72])/3 + (38*s[73])/3 + (23*s[74])/2 - (19*s[75])/2 + 
       (92*s[76])/3 - 12*s[77] - (112*s[78])/3 - (20*s[79])/3 - 23*s[80] + 
       1075*s[82] - 5*s[83] - 6*s[84] + 228*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v]*
      ((157*s[2])/12 + (943*s[3])/8 + (9613*s[4])/48 + (154667*s[5])/264 + 
       (179373*s[6])/176 + (83338877*s[7])/9504 - (5548633*s[8])/14256 - 
       (4839601*s[9])/648 - (268528*s[10])/81 - (86967229*s[11])/9504 - 
       (42638527*s[12])/4752 - (48126005*s[13])/9504 - 
       (31536583*s[14])/9504 - (11528467*s[15])/864 - (38046539*s[16])/2376 - 
       (47120785*s[17])/3168 - (1539067*s[18])/972 - (7200851*s[19])/3888 - 
       (849604061*s[20])/42768 - (659402773*s[21])/85536 + 
       (385701425*s[22])/85536 + (19769939*s[23])/4752 + 
       (469300357*s[24])/42768 - (1022970335*s[25])/96228 + 
       (651710093*s[26])/96228 - (2*s[28])/3 + 3*s[29] - (41*s[30])/6 - 
       (28*s[31])/3 - s[32]/3 - (277*s[33])/12 + (185*s[34])/6 + 
       (73*s[35])/6 + (527*s[36])/18 - (225*s[37])/4 + (238*s[38])/3 - 
       (5849*s[39])/24 + (26143*s[40])/72 - (8105*s[41])/24 + 
       (14279*s[42])/72 + (586625*s[43])/792 - (493001*s[44])/792 + 
       (71703*s[45])/44 - (6923393*s[46])/792 - (993569*s[47])/2376 + 
       (739273*s[48])/594 - (1017263*s[49])/297 + (712543*s[50])/99 + 
       (257303*s[51])/2376 - (74999*s[52])/1188 - (6279551*s[53])/1188 - 
       (348751*s[54])/396 - (14314339*s[55])/396 - (10281281*s[56])/1188 - 
       (59013497*s[57])/7128 - (101479843*s[58])/10692 + 
       (221681765*s[59])/21384 + (569397341*s[60])/7128 - 
       (1812995887*s[61])/384912 + (4*s[64])/3 + 2*s[65] + (8*s[66])/3 - 
       4*s[67] - 15*s[68] + (16*s[69])/3 + (32*s[70])/3 - 2*s[71] - 
       (7*s[72])/3 + (35*s[73])/3 + (115*s[74])/12 - (85*s[75])/12 + 
       (67*s[76])/3 - (21*s[77])/2 - (89*s[78])/3 - (64*s[79])/3 - 
       (113*s[80])/6 + 1075*s[82] - 5*s[83] - 6*s[84] + 228*s[85]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((401*s[2])/24 + (3665*s[3])/48 + (236111*s[4])/96 + (50678*s[5])/33 + 
       (4531861*s[6])/1056 + (730025921*s[7])/19008 - (10005637*s[8])/3168 - 
       (2334355*s[9])/72 - (89642*s[10])/9 - (268723481*s[11])/6336 - 
       (24652493*s[12])/528 - (536172445*s[13])/19008 - 
       (28611413*s[14])/6336 - (87128939*s[15])/1728 - (38319263*s[16])/594 - 
       (928245233*s[17])/19008 - (9069721*s[18])/1296 - 
       (14506969*s[19])/2592 - (2169374899*s[20])/28512 - 
       (1559439451*s[21])/57024 + (384993233*s[22])/19008 + 
       (53518409*s[23])/1188 + (99416327*s[24])/2376 - 
       (6947802457*s[25])/128304 + (946265323*s[26])/32076 - s[27] + 
       s[28]/2 + (5*s[29])/3 + (97*s[30])/12 + (37*s[31])/3 - (79*s[32])/12 + 
       (175*s[33])/8 - (179*s[34])/12 - (95*s[35])/4 - (1193*s[36])/18 + 
       (1513*s[37])/18 + (5359*s[38])/4 - (255791*s[39])/48 + 
       (875725*s[40])/144 - (77373*s[41])/16 + (1110671*s[42])/144 + 
       (7634603*s[43])/1584 - (8081897*s[44])/1584 + (4367821*s[45])/792 - 
       (68436847*s[46])/1584 + (8059489*s[47])/4752 + (305122*s[48])/297 - 
       (103488049*s[49])/4752 + (26321821*s[50])/792 + 
       (12913435*s[51])/2376 + (10225945*s[52])/2376 - 
       (27005687*s[53])/1188 + (225173*s[54])/396 - (9583627*s[55])/66 - 
       (61534901*s[56])/1584 + (6937781*s[57])/176 - (964664033*s[58])/
        14256 + (484597885*s[59])/7128 + (10139202919*s[60])/28512 - 
       (4831095593*s[61])/256608 - 10*s[63] - s[64] + (13*s[65])/6 + 
       (17*s[66])/3 - 9*s[67] + 2*s[68] - 19*s[69] + 51*s[70] - 
       (13*s[71])/2 + (27*s[72])/2 - s[73]/2 - (515*s[74])/24 + 
       (563*s[75])/24 - (47*s[76])/2 - (845*s[77])/12 + (61*s[78])/6 + 
       630*s[79] - (1337*s[80])/9 + 739*s[82] - 14*s[83] + 267*s[84] + 
       232*s[85]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*((2089*s[2])/72 - (365*s[3])/48 + 
       (896783*s[4])/288 + (1619285*s[5])/792 + (17282093*s[6])/3168 + 
       (2867030285*s[7])/57024 - (359258177*s[8])/85536 - 
       (41279993*s[9])/972 - (12854179*s[10])/972 - (3161974355*s[11])/
        57024 - (54323224*s[12])/891 - (77641915*s[13])/2112 - 
       (335287355*s[14])/57024 - (114531533*s[15])/1728 - 
       (50274823*s[16])/594 - (3666840169*s[17])/57024 - 
       (104448139*s[18])/11664 - (177157387*s[19])/23328 - 
       (25554412705*s[20])/256608 - (18298585277*s[21])/513216 + 
       (13632861565*s[22])/513216 + (91988965*s[23])/1584 + 
       (7073263795*s[24])/128304 - (81772655531*s[25])/1154736 + 
       (22199704765*s[26])/577368 + s[27] + (5*s[28])/2 - (13*s[29])/3 + 
       (71*s[30])/12 + (164*s[31])/9 - (415*s[32])/36 - (467*s[33])/72 - 
       (499*s[34])/36 - (1165*s[35])/36 - (3391*s[36])/27 + (4525*s[37])/36 + 
       (64559*s[38])/36 - (1021541*s[39])/144 + (3465175*s[40])/432 - 
       (304471*s[41])/48 + (4434731*s[42])/432 + (30195449*s[43])/4752 - 
       (7992707*s[44])/1188 + (1391683*s[45])/198 - (265786571*s[46])/4752 + 
       (16147031*s[47])/7128 + (16677571*s[48])/14256 - 
       (205867901*s[49])/7128 + (102625807*s[50])/2376 + 
       (102232991*s[51])/14256 + (80452655*s[52])/14256 - 
       (105491149*s[53])/3564 + (123022*s[54])/297 - (893120851*s[55])/4752 - 
       (352665581*s[56])/7128 + (2204096119*s[57])/42768 - 
       (2804732771*s[58])/32076 + (11351199179*s[59])/128304 + 
       (2461391077*s[60])/5346 - (55474944331*s[61])/2309472 - 12*s[63] + 
       s[64] + (7*s[65])/9 - (17*s[66])/9 + (52*s[67])/9 + (106*s[68])/9 + 
       (16*s[69])/9 + (589*s[70])/9 - (61*s[71])/9 + (433*s[72])/18 - 
       (431*s[73])/18 - (2315*s[74])/72 + (2459*s[75])/72 - (45*s[76])/2 - 
       (2797*s[77])/36 + (533*s[78])/18 + (2300*s[79])/3 - (3127*s[80])/18 + 
       725*s[82] - (59*s[83])/6 + 322*s[84] + (736*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Qep[v, w, u]*(32*s[2] + (640*s[3])/3 + 
       (1144*s[4])/3 + (12304*s[5])/33 + (10640*s[6])/11 + (908888*s[7])/99 - 
       (180944*s[8])/297 - (205168*s[9])/27 - (90392*s[10])/27 - 
       (955360*s[11])/99 - (967448*s[12])/99 - (538796*s[13])/99 - 
       (227704*s[14])/99 - (123944*s[15])/9 - (1649432*s[16])/99 - 
       (162620*s[17])/11 - (119492*s[18])/81 - (172636*s[19])/81 - 
       (17652124*s[20])/891 - (6156904*s[21])/891 + (4162088*s[22])/891 + 
       (595864*s[23])/99 + (10133888*s[24])/891 - (95374684*s[25])/8019 + 
       (53980156*s[26])/8019 - (32*s[32])/3 - (208*s[37])/3 + (80*s[38])/3 - 
       (1096*s[39])/3 + (1480*s[40])/3 - 456*s[41] + (1496*s[42])/3 + 
       (26392*s[43])/33 - (25384*s[44])/33 + (55672*s[45])/33 - 
       (325184*s[46])/33 - (36440*s[47])/99 + (118792*s[48])/99 - 
       (395932*s[49])/99 + (276128*s[50])/33 + (3932*s[51])/11 + 
       (32*s[52])/99 - (599360*s[53])/99 - (31016*s[54])/33 - 
       (1313824*s[55])/33 - (291628*s[56])/33 - (283568*s[57])/33 - 
       (3103772*s[58])/297 + (3393692*s[59])/297 + (26488130*s[60])/297 - 
       (13542352*s[61])/2673 - (64*s[68])/3 + (64*s[69])/3 - (64*s[77])/3 + 
       1216*s[82] + 256*s[85]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*((2389*s[2])/72 + (19811*s[3])/144 + 
       (728381*s[4])/288 + (2615707*s[5])/1584 + (14155709*s[6])/3168 + 
       (2295714907*s[7])/57024 - (283462781*s[8])/85536 - 
       (131474087*s[9])/3888 - (41756635*s[10])/3888 - 
       (2530716209*s[11])/57024 - (86855507*s[12])/1782 - 
       (1674426979*s[13])/57024 - (278590613*s[14])/57024 - 
       (275344853*s[15])/5184 - (484649171*s[16])/7128 - 
       (987677173*s[17])/19008 - (84141547*s[18])/11664 - 
       (145899307*s[19])/23328 - (20487327457*s[20])/256608 - 
       (14645894819*s[21])/513216 + (10853793727*s[22])/513216 + 
       (656895155*s[23])/14256 + (2842338101*s[24])/64152 - 
       (130930214359*s[25])/2309472 + (71058530713*s[26])/2309472 - 2*s[28] + 
       (10*s[29])/3 + (43*s[30])/12 + (74*s[31])/9 - (65*s[32])/18 - 
       (409*s[33])/36 + (53*s[34])/36 + (149*s[35])/36 - (1919*s[36])/27 + 
       (20195*s[37])/216 + (12449*s[38])/9 - (777395*s[39])/144 + 
       (2641649*s[40])/432 - (692929*s[41])/144 + (3342829*s[42])/432 + 
       (23140663*s[43])/4752 - (49126931*s[44])/9504 + 
       (27265057*s[45])/4752 - (26223061*s[46])/594 + 
       (47893321*s[47])/28512 + (33541159*s[48])/28512 - 
       (635443015*s[49])/28512 + (80905535*s[50])/2376 + 
       (154841699*s[51])/28512 + (122717429*s[52])/28512 - 
       (332949811*s[53])/14256 + (477373*s[54])/1188 - 
       (1417098293*s[55])/9504 - (125033981*s[56])/3168 + 
       (33516722*s[57])/891 - (5855264581*s[58])/85536 + 
       (5892098371*s[59])/85536 + (62390174359*s[60])/171072 - 
       (1657934273*s[61])/85536 + (9*s[62])/2 + (5*s[65])/9 - (7*s[66])/9 + 
       (50*s[67])/9 + (77*s[68])/9 + (23*s[69])/9 + (368*s[70])/9 - 
       (173*s[71])/36 + (187*s[72])/18 - (67*s[73])/6 - (189*s[74])/8 + 
       (177*s[75])/8 - (221*s[76])/18 - (1567*s[77])/36 - (107*s[78])/18 + 
       (4909*s[79])/9 - (14749*s[80])/108 - s[81]/6 + 875*s[82] - 
       (32*s[83])/3 + 287*s[84] + (776*s[85])/3) + 
     HPL[{0, 1}, 1 - w]*Qep[w, u, v]*((184*s[2])/3 + 308*s[3] + 
       (14306*s[4])/3 + (356608*s[5])/99 + (863218*s[6])/99 + 
       (72023401*s[7])/891 - (17858558*s[8])/2673 - (16563484*s[9])/243 - 
       (5322572*s[10])/243 - (78506005*s[11])/891 - (85115240*s[12])/891 - 
       (16912061*s[13])/297 - (9743281*s[14])/891 - (987211*s[15])/9 - 
       (13639286*s[16])/99 - (96736559*s[17])/891 - (10333076*s[18])/729 - 
       (9435322*s[19])/729 - (1297551406*s[20])/8019 - 
       (464242963*s[21])/8019 + (339758267*s[22])/8019 + 
       (26742706*s[23])/297 + (715166306*s[24])/8019 - 
       (8103991600*s[25])/72171 + (4429784332*s[26])/72171 - (64*s[29])/9 + 
       16*s[30] + (256*s[31])/9 - (112*s[32])/9 + (248*s[33])/9 - 
       (496*s[34])/9 - (400*s[35])/9 - (4960*s[36])/27 + (992*s[37])/3 + 
       (20912*s[38])/9 - (90604*s[39])/9 + (303556*s[40])/27 - 
       (26116*s[41])/3 + (399308*s[42])/27 + (2580956*s[43])/297 - 
       (2786522*s[44])/297 + (362728*s[45])/33 - (24841772*s[46])/297 + 
       (3262582*s[47])/891 + (485698*s[48])/891 - (35652442*s[49])/891 + 
       (19238744*s[50])/297 + (9046658*s[51])/891 + (6991694*s[52])/891 - 
       (40689796*s[53])/891 + (486088*s[54])/297 - (9564826*s[55])/33 - 
       (67903270*s[56])/891 + (178157596*s[57])/2673 - 
       (1029834590*s[58])/8019 + (1047803018*s[59])/8019 + 
       (1827416867*s[60])/2673 - (2700414878*s[61])/72171 - (32*s[65])/9 - 
       (128*s[66])/9 + (128*s[67])/9 + (128*s[68])/9 + (128*s[69])/9 - 
       (64*s[70])/9 + (32*s[71])/9 + (416*s[72])/9 - (352*s[73])/9 - 
       56*s[74] + 56*s[75] - (608*s[76])/9 - (16*s[77])/9 + (800*s[78])/9 + 
       (2944*s[79])/3 - (2368*s[80])/9 + 1984*s[82] + (32*s[83])/3 + 
       (1280*s[84])/3 + (896*s[85])/3) + HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - u]*((211*s[2])/2 - (359*s[3])/4 + 
       (25513*s[4])/8 + (136395*s[5])/44 + (604919*s[6])/88 + 
       (32735887*s[7])/528 - (11084807*s[8])/2376 - (5728541*s[9])/108 - 
       (1786747*s[10])/108 - (108265277*s[11])/1584 - (59190911*s[12])/792 - 
       (71370953*s[13])/1584 - (14990903*s[14])/1584 - (11696263*s[15])/144 - 
       (41123237*s[16])/396 - (125833331*s[17])/1584 - (945010*s[18])/81 - 
       (5704369*s[19])/648 - (889690717*s[20])/7128 - 
       (659060573*s[21])/14256 + (468139789*s[22])/14256 + 
       (52918181*s[23])/792 + (486946727*s[24])/7128 - 
       (5516886055*s[25])/64152 + (3096739849*s[26])/64152 + 3*s[28] + 
       12*s[29] - 6*s[30] + 12*s[31] + 9*s[32] - (231*s[33])/4 + 4*s[34] - 
       17*s[35] - 73*s[36] + (1153*s[37])/6 + 2324*s[38] - (17353*s[39])/2 + 
       (19503*s[40])/2 - (15003*s[41])/2 + (48849*s[42])/4 + 
       (174275*s[43])/22 - (709999*s[44])/88 + (1157633*s[45])/132 - 
       (8919413*s[46])/132 + (734929*s[47])/264 + (421693*s[48])/264 - 
       (9311953*s[49])/264 + (564093*s[50])/11 + (750405*s[51])/88 + 
       (1877459*s[52])/264 - (3462748*s[53])/99 + (87227*s[54])/66 - 
       (59109571*s[55])/264 - (47103433*s[56])/792 + (19145564*s[57])/297 - 
       (760001123*s[58])/7128 + (763090085*s[59])/7128 + 
       (293754455*s[60])/528 - (1867016435*s[61])/64152 + 3*s[65] + 
       12*s[66] - 18*s[67] + 36*s[68] - 60*s[69] + 28*s[70] - 3*s[71] - 
       6*s[72] + 30*s[73] - (23*s[74])/2 + (23*s[75])/2 - 6*s[76] + 
       41*s[77] - 30*s[78] + 740*s[79] - (719*s[80])/3 + 1236*s[82] - 
       33*s[83] + 258*s[84] + 336*s[85]) + HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v]*(81*s[2] + 187*s[3] + (5571*s[4])/2 + 
       (97577*s[5])/44 + (122955*s[6])/22 + (12947573*s[7])/264 - 
       (2271407*s[8])/594 - (1119167*s[9])/27 - (1387219*s[10])/108 - 
       (43228585*s[11])/792 - (47841659*s[12])/792 - (7270687*s[13])/198 - 
       (634379*s[14])/99 - (4549247*s[15])/72 - (64747315*s[16])/792 - 
       (48333187*s[17])/792 - (720685*s[18])/81 - (2417291*s[19])/324 - 
       (347213327*s[20])/3564 - (62903659*s[21])/1782 + 
       (91920463*s[22])/3564 + (21057565*s[23])/396 + (48764350*s[24])/891 - 
       (1114788655*s[25])/16038 + (1222388147*s[26])/32076 - 6*s[30] + 
       8*s[32] - (115*s[33])/2 + 26*s[34] - 30*s[35] - 21*s[36] + 
       (443*s[37])/3 + 1938*s[38] - (26813*s[39])/4 + (30257*s[40])/4 - 
       (22785*s[41])/4 + (18269*s[42])/2 + (283963*s[43])/44 - 
       (70100*s[44])/11 + (505537*s[45])/66 - (7333949*s[46])/132 + 
       (82041*s[47])/44 + (47835*s[48])/22 - (627857*s[49])/22 + 
       (920863*s[50])/22 + (280919*s[51])/44 + (241295*s[52])/44 - 
       (2817577*s[53])/99 + (78371*s[54])/66 - (4060879*s[55])/22 - 
       (4916192*s[56])/99 + (54936611*s[57])/1188 - (77048833*s[58])/891 + 
       (307411657*s[59])/3564 + (183091001*s[60])/396 - 
       (1578396293*s[61])/64152 + 12*s[63] - 4*s[64] + 6*s[65] + 36*s[66] - 
       24*s[67] + 36*s[68] - 96*s[69] + 28*s[70] - 6*s[71] - 16*s[72] + 
       8*s[73] - 5*s[75] - 6*s[76] + 68*s[77] - 78*s[78] + 452*s[79] - 
       (428*s[80])/3 + 1236*s[82] - 33*s[83] + 258*s[84] + 336*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]^2*((41*s[2])/2 + (1791*s[3])/8 + 
       (48769*s[4])/16 + (43865*s[5])/22 + (954643*s[6])/176 + 
       (51908929*s[7])/1056 - (6236815*s[8])/1584 - (2968633*s[9])/72 - 
       (974987*s[10])/72 - (57242281*s[11])/1056 - (15652157*s[12])/264 - 
       (12542645*s[13])/352 - (6716953*s[14])/1056 - (6285643*s[15])/96 - 
       (14714053*s[16])/176 - (68146619*s[17])/1056 - (1853753*s[18])/216 - 
       (3556973*s[19])/432 - (466506863*s[20])/4752 - 
       (333478339*s[21])/9504 + (245037143*s[22])/9504 + 
       (9424555*s[23])/176 + (262168135*s[24])/4752 - 
       (738356819*s[25])/10692 + (803761543*s[26])/21384 - 4*s[29] + 
       3*s[30] - 10*s[31] + (11*s[32])/2 - (55*s[33])/4 + 29*s[34] - 
       31*s[35] - (181*s[36])/2 + (1327*s[37])/24 + (6659*s[38])/4 - 
       (25925*s[39])/4 + (29469*s[40])/4 - (46743*s[41])/8 + 
       (73187*s[42])/8 + (267497*s[43])/44 - (568501*s[44])/88 + 
       (1250981*s[45])/176 - (9593871*s[46])/176 + (219889*s[47])/132 + 
       (268267*s[48])/132 - (933781*s[49])/33 + (1864949*s[50])/44 + 
       (1679351*s[51])/264 + (1306225*s[52])/264 - (15290029*s[53])/528 - 
       (74073*s[54])/88 - (48946435*s[55])/264 - (12638711*s[56])/264 + 
       (32606183*s[57])/792 - (393130085*s[58])/4752 + (49846657*s[59])/594 + 
       (1441278727*s[60])/3168 - (2037393487*s[61])/85536 - s[65] - 4*s[66] + 
       6*s[67] - 3*s[68] + 15*s[69] + 32*s[70] - (11*s[71])/4 + 8*s[72] - 
       16*s[73] - 28*s[74] + 28*s[75] + 6*s[76] - 42*s[77] + 8*s[78] + 
       624*s[79] - (773*s[80])/4 + 1394*s[82] + (3*s[83])/2 + 201*s[84] + 
       340*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]^2*
      ((103*s[2])/4 + (1437*s[3])/8 + (29867*s[4])/16 + (96451*s[5])/88 + 
       (560723*s[6])/176 + (92622575*s[7])/3168 - (415869*s[8])/176 - 
       (586627*s[9])/24 - 8163*s[10] - (34200395*s[11])/1056 - 
       (3125459*s[12])/88 - (67951639*s[13])/3168 - (3540347*s[14])/1056 - 
       (11172101*s[15])/288 - (39483703*s[16])/792 - (121182923*s[17])/3168 - 
       (528557*s[18])/108 - (2275837*s[19])/432 - (275466175*s[20])/4752 - 
       (194183881*s[21])/9504 + (16198681*s[22])/1056 + 
       (24914903*s[23])/792 + (26301485*s[24])/792 - (887074033*s[25])/
        21384 + (475335679*s[26])/21384 - 4*s[29] + 5*s[30] - 3*s[31] - 
       (3*s[32])/4 - (19*s[33])/8 + 11*s[34] - 24*s[35] - (164*s[36])/3 + 
       (101*s[37])/8 + 990*s[38] - (30571*s[39])/8 + (104257*s[40])/24 - 
       (27625*s[41])/8 + (128447*s[42])/24 + (947327*s[43])/264 - 
       (1022723*s[44])/264 + (735167*s[45])/176 - (16957921*s[46])/528 + 
       (701257*s[47])/792 + (135470*s[48])/99 - (13495525*s[49])/792 + 
       (6652517*s[50])/264 + (366628*s[51])/99 + (564821*s[52])/198 - 
       (26967185*s[53])/1584 - (31006*s[54])/33 - (28782647*s[55])/264 - 
       (10970165*s[56])/396 + (55767403*s[57])/2376 - 
       (690496909*s[58])/14256 + (43802146*s[59])/891 + 
       (2567442797*s[60])/9504 - (3578461133*s[61])/256608 - s[64] - 
       (7*s[65])/4 - 3*s[66] + 7*s[67] - 3*s[68] + 16*s[69] + (55*s[70])/2 + 
       3*s[72] - 17*s[73] - (65*s[74])/4 + (55*s[75])/4 + 7*s[76] - 
       41*s[77] + 5*s[78] + 350*s[79] - (479*s[80])/4 + 1394*s[82] + 
       (3*s[83])/2 + 201*s[84] + 340*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      Qep[u, v, w]*((160*s[2])/9 + (784*s[3])/3 + (3520*s[4])/9 + 
       (15440*s[5])/33 + (118540*s[6])/99 + (3193604*s[7])/297 - 
       (574828*s[8])/891 - (717956*s[9])/81 - (340264*s[10])/81 - 
       (3324554*s[11])/297 - (3282118*s[12])/297 - (606632*s[13])/99 - 
       (958928*s[14])/297 - (454580*s[15])/27 - (1978736*s[16])/99 - 
       (5478226*s[17])/297 - (388516*s[18])/243 - (673748*s[19])/243 - 
       (63454280*s[20])/2673 - (22681328*s[21])/2673 + 
       (14532196*s[22])/2673 + (64766*s[23])/11 + (36854938*s[24])/2673 - 
       (326628746*s[25])/24057 + (191948066*s[26])/24057 - (128*s[31])/9 - 
       (32*s[32])/3 - (32*s[33])/3 + (256*s[34])/9 + (256*s[35])/9 + 
       (448*s[36])/27 - (2560*s[37])/27 - (664*s[39])/3 + (10712*s[40])/27 - 
       (1064*s[41])/3 + (6448*s[42])/27 + (269416*s[43])/297 - 
       (248932*s[44])/297 + (619448*s[45])/297 - (379264*s[46])/33 - 
       (641164*s[47])/891 + (1595972*s[48])/891 - (4148948*s[49])/891 + 
       (2955136*s[50])/297 + (75124*s[51])/891 - (271364*s[52])/891 - 
       (718672*s[53])/99 - (18080*s[54])/11 - (14452204*s[55])/297 - 
       (9358828*s[56])/891 - (38376920*s[57])/2673 - (89091116*s[58])/8019 + 
       (102124196*s[59])/8019 + (286566358*s[60])/2673 - 
       (433320224*s[61])/72171 - (256*s[68])/9 + (256*s[69])/9 + 
       (32*s[74])/9 - (32*s[75])/9 + (128*s[76])/9 - (256*s[77])/9 - 
       (128*s[78])/9 + (256*s[79])/9 - (896*s[80])/27 + (5344*s[82])/3 + 
       (1024*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[u, v, w]*
      (64*s[2] + 344*s[3] + 5268*s[4] + (131936*s[5])/33 + (112916*s[6])/11 + 
       (8907940*s[7])/99 - (723088*s[8])/99 - (682748*s[9])/9 - 
       (216940*s[10])/9 - (3251056*s[11])/33 - (3540208*s[12])/33 - 
       (6362288*s[13])/99 - (140176*s[14])/11 - (1079116*s[15])/9 - 
       (15065924*s[16])/99 - (11724580*s[17])/99 - (151696*s[18])/9 - 
       13048*s[19] - (17837192*s[20])/99 - (19494208*s[21])/297 + 
       (14009800*s[22])/297 + (10129876*s[23])/99 + (29107900*s[24])/297 - 
       (333891328*s[25])/2673 + (185251072*s[26])/2673 + (32*s[30])/3 + 
       (64*s[31])/3 - 16*s[32] + (8*s[33])/3 - (32*s[34])/3 - (64*s[35])/9 - 
       (1744*s[36])/9 + 320*s[37] + (8336*s[38])/3 - (103892*s[39])/9 + 
       12996*s[40] - (90676*s[41])/9 + (50492*s[42])/3 + (324548*s[43])/33 - 
       (348284*s[44])/33 + (1175024*s[45])/99 - (9058948*s[46])/99 + 
       (1260700*s[47])/297 + (231760*s[48])/297 - (13194976*s[49])/297 + 
       (768272*s[50])/11 + (3481724*s[51])/297 + (2855816*s[52])/297 - 
       (14379212*s[53])/297 + (311800*s[54])/99 - (30454360*s[55])/99 - 
       (8271368*s[56])/99 + (8929628*s[57])/99 - (129880172*s[58])/891 + 
       (130040348*s[59])/891 + (660941636*s[60])/891 - 
       (326658724*s[61])/8019 + (64*s[68])/3 - (64*s[69])/3 - (64*s[70])/3 - 
       (16*s[71])/3 + (128*s[72])/3 - (512*s[74])/9 + (512*s[75])/9 - 
       (640*s[76])/9 + (128*s[77])/9 + 64*s[78] + (3520*s[79])/3 - 
       (832*s[80])/3 + (3776*s[82])/3 + 512*s[84] + (1024*s[85])/3) + 
     HPL[{0, 1}, 1 - v]*Qep[u, w, v]*((1792*s[2])/9 - (3512*s[3])/9 + 
       (64004*s[4])/9 + (680696*s[5])/99 + (1514768*s[6])/99 + 
       (121420568*s[7])/891 - (27304328*s[8])/2673 - (28357228*s[9])/243 - 
       (8601056*s[10])/243 - (133241452*s[11])/891 - (145148966*s[12])/891 - 
       (87581270*s[13])/891 - (18365302*s[14])/891 - (14534560*s[15])/81 - 
       (202755134*s[16])/891 - (51875288*s[17])/297 - (19213688*s[18])/729 - 
       (12652492*s[19])/729 - (2193929764*s[20])/8019 - 
       (818362450*s[21])/8019 + (579305354*s[22])/8019 + 
       (137284924*s[23])/891 + (1175152796*s[24])/8019 - 
       (13569640090*s[25])/72171 + (7656937126*s[26])/72171 + (64*s[29])/3 - 
       (32*s[30])/3 + (1024*s[31])/9 - (80*s[32])/9 + (592*s[33])/9 - 
       (1760*s[34])/9 - (1184*s[35])/9 - (8416*s[36])/27 + (11816*s[37])/27 + 
       (46768*s[38])/9 - (178792*s[39])/9 + (595864*s[40])/27 - 
       (155864*s[41])/9 + (768644*s[42])/27 + (5361512*s[43])/297 - 
       (5409152*s[44])/297 + (5949908*s[45])/297 - (46414516*s[46])/297 + 
       (5645224*s[47])/891 + (2591536*s[48])/891 - (70993588*s[49])/891 + 
       (35276432*s[50])/297 + (17312996*s[51])/891 + (14446952*s[52])/891 - 
       (73484600*s[53])/891 + (1225784*s[54])/297 - (155819624*s[55])/297 - 
       (41661940*s[56])/297 + (128345384*s[57])/891 - (218584772*s[58])/891 + 
       (73755244*s[59])/297 + (3411224372*s[60])/2673 - 
       (1629204008*s[61])/24057 + (64*s[65])/9 + (256*s[66])/9 - 
       (320*s[67])/9 + (256*s[68])/9 - (896*s[69])/9 + (256*s[70])/9 - 
       (304*s[71])/9 + (448*s[72])/9 + (64*s[73])/3 - (208*s[74])/3 + 
       (208*s[75])/3 - (1088*s[76])/9 + (352*s[77])/9 + (640*s[78])/9 + 
       (14144*s[79])/9 - (3632*s[80])/27 + 128*s[82] - (64*s[83])/3 + 
       896*s[84] + (1024*s[85])/3) + HPL[{0, 1}, 1 - u]*Qep[u, w, v]*
      ((-160*s[2])/9 + (680*s[3])/3 + (112252*s[4])/9 + (671632*s[5])/99 + 
       (1879000*s[6])/99 + (157829600*s[7])/891 - (44300956*s[8])/2673 - 
       (35977088*s[9])/243 - (10402468*s[10])/243 - (175353434*s[11])/891 - 
       (195912646*s[12])/891 - (39621808*s[13])/297 - (9466808*s[14])/891 - 
       (6197104*s[15])/27 - (29232308*s[16])/99 - (193500514*s[17])/891 - 
       (22228912*s[18])/729 - (19878824*s[19])/729 - (2719766240*s[20])/
        8019 - (949551596*s[21])/8019 + (746200324*s[22])/8019 + 
       (67095122*s[23])/297 + (1533828850*s[24])/8019 - 
       (18540627518*s[25])/72171 + (9721811234*s[26])/72171 - 64*s[29] + 
       (160*s[30])/3 + (128*s[31])/9 - (208*s[32])/9 - (592*s[33])/9 - 
       (928*s[34])/9 - (1504*s[35])/9 - (17440*s[36])/27 + (6296*s[37])/9 + 
       (64880*s[38])/9 - (254744*s[39])/9 + (841192*s[40])/27 - 
       (72680*s[41])/3 + (1104908*s[42])/27 + (7218968*s[43])/297 - 
       (7618742*s[44])/297 + (876484*s[45])/33 - (63161588*s[46])/297 + 
       (9011506*s[47])/891 + (1622410*s[48])/891 - (98530954*s[49])/891 + 
       (48441488*s[50])/297 + (25265870*s[51])/891 + (20188814*s[52])/891 - 
       (100798300*s[53])/891 + (1163680*s[54])/297 - (211156546*s[55])/297 - 
       (166448950*s[56])/891 + (559945336*s[57])/2673 - 
       (2692477742*s[58])/8019 + (2731766126*s[59])/8019 + 
       (4625672177*s[60])/2673 - (6583795088*s[61])/72171 - (128*s[65])/9 - 
       (512*s[66])/9 + (832*s[67])/9 + (640*s[68])/9 + (1024*s[69])/9 + 
       (256*s[70])/9 - (112*s[71])/9 + (1088*s[72])/9 - (1216*s[73])/9 - 
       (1360*s[74])/9 + (1360*s[75])/9 - (320*s[76])/3 + (32*s[77])/9 + 
       (1792*s[78])/9 + (5824*s[79])/3 - (880*s[80])/3 + 768*s[82] + 
       (128*s[83])/3 + 1024*s[84] + (1024*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((111*s[2])/2 - (7*s[3])/2 + (3521*s[4])/2 + (42011*s[5])/44 + 
       (138493*s[6])/44 + (22171549*s[7])/792 - (2698019*s[8])/1188 - 
       (1274897*s[9])/54 - (821921*s[10])/108 - (24678641*s[11])/792 - 
       (13646741*s[12])/396 - (16671709*s[13])/792 - (2604797*s[14])/792 - 
       (2607527*s[15])/72 - (18670271*s[16])/396 - (3111859*s[17])/88 - 
       (752719*s[18])/162 - (1515499*s[19])/324 - (196825789*s[20])/3564 - 
       (137843729*s[21])/7128 + (105680479*s[22])/7128 + 
       (11767717*s[23])/396 + (112424153*s[24])/3564 - 
       (1281069271*s[25])/32076 + (682667875*s[26])/32076 - 8*s[29] + 
       9*s[30] - 6*s[31] - 13*s[32] + (89*s[33])/4 + 7*s[34] - 20*s[35] - 
       54*s[36] - (161*s[37])/6 + 1002*s[38] - (7715*s[39])/2 + 
       (8887*s[40])/2 - (7167*s[41])/2 + (10903*s[42])/2 + (79019*s[43])/22 - 
       (173795*s[44])/44 + (521159*s[45])/132 - (4168067*s[46])/132 + 
       (110353*s[47])/132 + (196087*s[48])/132 - (2230561*s[49])/132 + 
       (271068*s[50])/11 + (507929*s[51])/132 + (398999*s[52])/132 - 
       (6483271*s[53])/396 - (10988*s[54])/33 - (13858543*s[55])/132 - 
       (10866041*s[56])/396 + (7768205*s[57])/297 - (43183897*s[58])/891 + 
       (173484865*s[59])/3564 + (52462901*s[60])/198 - 
       (865993397*s[61])/64152 - 2*s[64] - 3*s[65] - 8*s[66] + 18*s[67] - 
       8*s[68] + 32*s[69] + 26*s[70] - 2*s[71] - 24*s[73] - 23*s[74] + 
       13*s[75] + 2*s[76] - 48*s[77] + 480*s[79] - (467*s[80])/3 + 
       1028*s[82] - 15*s[83] + 234*s[84] + 352*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((43*s[2])/2 + (621*s[3])/4 + (21363*s[4])/8 + (69555*s[5])/44 + 
       (424375*s[6])/88 + (66828451*s[7])/1584 - (2686427*s[8])/792 - 
       (635953*s[9])/18 - (207881*s[10])/18 - (8203373*s[11])/176 - 
       (1687321*s[12])/33 - (48984263*s[13])/1584 - (970313*s[14])/176 - 
       (8016805*s[15])/144 - (7081229*s[16])/99 - (86759155*s[17])/1584 - 
       (22019*s[18])/3 - (498881*s[19])/72 - (7388813*s[20])/88 - 
       (141784585*s[21])/4752 + (105189889*s[22])/4752 + (4506121*s[23])/99 + 
       (56294713*s[24])/1188 - (1272241823*s[25])/21384 + 
       (690029123*s[26])/21384 - 8*s[29] + 3*s[30] - 12*s[31] - 2*s[32] - 
       5*s[33] + 21*s[34] - 33*s[35] - (563*s[36])/6 - 45*s[37] + 
       1450*s[38] - 5509*s[39] + (18940*s[40])/3 - 5068*s[41] + 
       (46363*s[42])/6 + (176408*s[43])/33 - (1484707*s[44])/264 + 
       (136333*s[45])/22 - (3121387*s[46])/66 + (966545*s[47])/792 + 
       (1732541*s[48])/792 - (19405751*s[49])/792 + (2417551*s[50])/66 + 
       (4332481*s[51])/792 + (3422827*s[52])/792 - (9887761*s[53])/396 - 
       (17293*s[54])/66 - (42320063*s[55])/264 - (33148589*s[56])/792 + 
       (40925479*s[57])/1188 - (509440159*s[58])/7128 + 
       (515283787*s[59])/7128 + (1881436913*s[60])/4752 - 
       (332533177*s[61])/16038 - 2*s[65] - 8*s[66] + 12*s[67] - 2*s[68] + 
       26*s[69] + 28*s[70] - 7*s[71] + 6*s[72] - 42*s[73] - (51*s[74])/2 + 
       (35*s[75])/2 - 10*s[76] - 41*s[77] + 14*s[78] + 584*s[79] - 
       140*s[80] + 1028*s[82] - 15*s[83] + 234*s[84] + 352*s[85]) + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1}, 1 - u]*
      ((59*s[2])/4 + (567*s[3])/2 + (10061*s[4])/8 + (160439*s[5])/176 + 
       (409745*s[6])/176 + (484657*s[7])/22 - (8273143*s[8])/4752 - 
       (7834325*s[9])/432 - (2998777*s[10])/432 - (38421491*s[11])/1584 - 
       (41330461*s[12])/1584 - (12041089*s[13])/792 - (2663533*s[14])/792 - 
       (4417801*s[15])/144 - (30945523*s[16])/792 - (24956335*s[17])/792 - 
       (4812907*s[18])/1296 - (371786*s[19])/81 - (40494386*s[20])/891 - 
       (233436743*s[21])/14256 + (81444095*s[22])/7128 + 
       (16916927*s[23])/792 + (185552417*s[24])/7128 - 
       (7811215987*s[25])/256608 + (4314591607*s[26])/256608 - 12*s[29] + 
       (9*s[30])/2 - 12*s[31] + (27*s[32])/2 - (209*s[33])/8 + (65*s[34])/2 - 
       (33*s[35])/2 - (111*s[36])/2 - (857*s[37])/24 + (2217*s[38])/4 - 
       (17555*s[39])/8 + (19823*s[40])/8 - (8081*s[41])/4 + 2898*s[42] + 
       (221765*s[43])/88 - (449641*s[44])/176 + (1985543*s[45])/528 - 
       (13408811*s[46])/528 + (33857*s[47])/528 + (993695*s[48])/528 - 
       (6669275*s[49])/528 + (898023*s[50])/44 + (319523*s[51])/176 + 
       (562027*s[52])/528 - (22496449*s[53])/1584 - (824749*s[54])/264 - 
       (16337671*s[55])/176 - (35446973*s[56])/1584 + (2861323*s[57])/594 - 
       (124451461*s[58])/3564 + (520179799*s[59])/14256 + 
       (4825375*s[60])/22 - (3103277843*s[61])/256608 - 3*s[65] - 12*s[66] + 
       18*s[67] + (3*s[68])/2 + (69*s[69])/2 + 35*s[70] + (15*s[71])/4 + 
       6*s[72] + 4*s[73] + (13*s[74])/2 + (35*s[75])/2 + 9*s[76] - 47*s[77] + 
       18*s[78] - 40*s[79] - (95*s[80])/12 + 2592*s[82] + 21*s[83] - 
       48*s[84] + 384*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1}, 1 - v]*
      ((-19*s[2])/2 + (3239*s[3])/8 + (13943*s[4])/16 + (35741*s[5])/88 + 
       (229983*s[6])/176 + (13827791*s[7])/1056 - (5294321*s[8])/4752 - 
       (2226341*s[9])/216 - (498689*s[10])/108 - (45369683*s[11])/3168 - 
       (6075827*s[12])/396 - (27356393*s[13])/3168 - (5229383*s[14])/3168 - 
       (5485879*s[15])/288 - (19176623*s[16])/792 - (63573905*s[17])/3168 - 
       (1250377*s[18])/648 - (4674943*s[19])/1296 - (386852665*s[20])/14256 - 
       (267692537*s[21])/28512 + (187732309*s[22])/28512 + 
       (2422501*s[23])/198 + (118032811*s[24])/7128 - 
       (292828475*s[25])/16038 + (78915313*s[26])/8019 - 12*s[29] + 3*s[30] - 
       31*s[31] + 20*s[32] - (313*s[33])/8 + (123*s[34])/2 - 26*s[35] - 
       (33*s[36])/4 - (1103*s[37])/12 + 198*s[38] - (12623*s[39])/16 + 
       (14971*s[40])/16 - (13575*s[41])/16 + (13339*s[42])/16 + 
       (246849*s[43])/176 - (463989*s[44])/352 + (702503*s[45])/264 - 
       (8291323*s[46])/528 - (181175*s[47])/352 + (730527*s[48])/352 - 
       (2644187*s[49])/352 + (1144955*s[50])/88 + (296885*s[51])/1056 - 
       (14071*s[52])/352 - (14608115*s[53])/1584 - (380965*s[54])/132 - 
       (65244221*s[55])/1056 - (44789705*s[56])/3168 - (9671045*s[57])/1188 - 
       (532168075*s[58])/28512 + (577306945*s[59])/28512 + 
       (904688827*s[60])/6336 - (2087891125*s[61])/256608 - (9*s[65])/4 - 
       9*s[66] + 15*s[67] + (3*s[68])/2 + (63*s[69])/2 + 35*s[70] + 3*s[71] - 
       13*s[72] + 17*s[73] + 12*s[74] + (5*s[75])/2 + 25*s[76] - 
       (75*s[77])/2 + 8*s[78] - 152*s[79] + (67*s[80])/6 + 2592*s[82] + 
       21*s[83] - 48*s[84] + 384*s[85]) + HPL[{0, 1}, 1 - v]*Qep[v, u, w]*
      ((472*s[2])/3 - 204*s[3] + (27130*s[4])/3 + (228500*s[5])/33 + 
       (568030*s[6])/33 + (45548665*s[7])/297 - (11303686*s[8])/891 - 
       (10515704*s[9])/81 - (3172396*s[10])/81 - (50185835*s[11])/297 - 
       (55155334*s[12])/297 - (33301651*s[13])/297 - (5576873*s[14])/297 - 
       (5434967*s[15])/27 - (76156690*s[16])/297 - (6417329*s[17])/33 - 
       (6952276*s[18])/243 - (5091302*s[19])/243 - (810645794*s[20])/2673 - 
       (296049767*s[21])/2673 + (216215467*s[22])/2673 + 
       (53652212*s[23])/297 + (442551496*s[24])/2673 - 
       (5175137960*s[25])/24057 + (2852100368*s[26])/24057 - (64*s[29])/3 + 
       (16*s[30])/3 + (256*s[31])/3 - 16*s[32] + (32*s[33])/3 - 
       (368*s[34])/3 - (304*s[35])/3 - (3712*s[36])/9 + (4720*s[37])/9 + 
       (17488*s[38])/3 - (68788*s[39])/3 + (228796*s[40])/9 - 19940*s[41] + 
       (298112*s[42])/9 + (2025476*s[43])/99 - (2089418*s[44])/99 + 
       (2209072*s[45])/99 - (5869972*s[46])/33 + (2251438*s[47])/297 + 
       (853426*s[48])/297 - (27171766*s[49])/297 + (13431752*s[50])/99 + 
       (6676502*s[51])/297 + (5450294*s[52])/297 - (9329284*s[53])/99 + 
       (48648*s[54])/11 - (59069630*s[55])/99 - (47164802*s[56])/297 + 
       (147922880*s[57])/891 - (745772326*s[58])/2673 + 
       (756530026*s[59])/2673 + (1293007205*s[60])/891 - 
       (1843456294*s[61])/24057 + (64*s[67])/3 + (128*s[68])/3 + 
       (64*s[70])/3 - (64*s[71])/3 + (224*s[72])/3 - (160*s[73])/3 - 
       (296*s[74])/3 + (296*s[75])/3 - (416*s[76])/3 - 16*s[77] + 
       (352*s[78])/3 + (5632*s[79])/3 - (2656*s[80])/9 + 512*s[82] + 
       960*s[84] + 384*s[85]) + HPL[{0, 1}, 1 - u]*Qep[v, u, w]*
      ((-40*s[2])/3 + (1052*s[3])/3 + 13870*s[4] + (221984*s[5])/33 + 
       (663614*s[6])/33 + (56014303*s[7])/297 - (16292110*s[8])/891 - 
       (12713456*s[9])/81 - (3666544*s[10])/81 - (62439485*s[11])/297 - 
       (70141804*s[12])/297 - (42529387*s[13])/297 - (2594369*s[14])/297 - 
       (6554861*s[15])/27 - (93349264*s[16])/297 - (22674661*s[17])/99 - 
       (7875868*s[18])/243 - (7110746*s[19])/243 - (959792846*s[20])/2673 - 
       (332345135*s[21])/2673 + (264580759*s[22])/2673 + 
       (73416320*s[23])/297 + (542277880*s[24])/2673 - 
       (6628591328*s[25])/24057 + (3447045644*s[26])/24057 - (320*s[29])/3 + 
       (208*s[30])/3 - (112*s[32])/3 - 80*s[33] - (176*s[34])/3 - 144*s[35] - 
       (6784*s[36])/9 + (7664*s[37])/9 + 7760*s[38] - (92956*s[39])/3 + 
       (307444*s[40])/9 - 26516*s[41] + (403532*s[42])/9 + 
       (2581196*s[43])/99 - (2785520*s[44])/99 + (2761184*s[45])/99 - 
       (22528324*s[46])/99 + (3339184*s[47])/297 + (411820*s[48])/297 - 
       (35666296*s[49])/297 + (17297768*s[50])/99 + (9142196*s[51])/297 + 
       (7321460*s[52])/297 - (35786192*s[53])/297 + (346928*s[54])/99 - 
       (74789444*s[55])/99 - (6545576*s[56])/33 + (70225300*s[57])/297 - 
       (322604488*s[58])/891 + (326947540*s[59])/891 + 
       (1647507824*s[60])/891 - (258224506*s[61])/2673 - (64*s[65])/3 - 
       (256*s[66])/3 + (448*s[67])/3 + (256*s[68])/3 + (640*s[69])/3 + 
       (64*s[70])/3 + 160*s[72] - 224*s[73] - 184*s[74] + 184*s[75] - 
       (416*s[76])/3 - (176*s[77])/3 + 288*s[78] + 2304*s[79] - 
       (4064*s[80])/9 + 768*s[82] + 64*s[83] + 1088*s[84] + 384*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*((1513*s[2])/36 + (10597*s[3])/72 + 
       (489269*s[4])/144 + (1925635*s[5])/792 + (9617137*s[6])/1584 + 
       (532929173*s[7])/9504 - (66781457*s[8])/14256 - (30595205*s[9])/648 - 
       (9716731*s[10])/648 - (585079805*s[11])/9504 - 
       (319963679*s[12])/4752 - (127226323*s[13])/3168 - 
       (67049843*s[14])/9504 - (64602127*s[15])/864 - (9401182*s[16])/99 - 
       (696442687*s[17])/9504 - (9922307*s[18])/972 - (33418687*s[19])/3888 - 
       (4781418163*s[20])/42768 - (3441133409*s[21])/85536 + 
       (2518441681*s[22])/85536 + (101464651*s[23])/1584 + 
       (2635308329*s[24])/42768 - (30181977751*s[25])/384912 + 
       (16518517357*s[26])/384912 + s[28]/6 - (32*s[29])/3 + (19*s[30])/2 + 
       (112*s[31])/9 - (40*s[32])/9 + s[33]/12 - (205*s[34])/18 - 
       (571*s[35])/18 - (14867*s[36])/108 + (3764*s[37])/27 + 
       (72791*s[38])/36 - (1178221*s[39])/144 + (3954851*s[40])/432 - 
       (347113*s[41])/48 + (5082505*s[42])/432 + (35217865*s[43])/4752 - 
       (74109377*s[44])/9504 + (21002863*s[45])/2376 - 
       (107280227*s[46])/1584 + (72187051*s[47])/28512 + 
       (43565425*s[48])/28512 - (967948009*s[49])/28512 + 
       (15551554*s[50])/297 + (230848505*s[51])/28512 + 
       (181871231*s[52])/28512 - (9613603*s[53])/264 + (251069*s[54])/396 - 
       (2200611571*s[55])/9504 - (1726192955*s[56])/28512 + 
       (143046733*s[57])/2673 - (26587319761*s[58])/256608 + 
       (27011044675*s[59])/256608 + (95478244291*s[60])/171072 - 
       (69120479965*s[61])/2309472 + s[64]/3 - (4*s[65])/3 - (20*s[66])/3 + 
       (44*s[67])/3 + (11*s[68])/3 + (52*s[69])/3 + (22*s[70])/3 - 
       (8*s[71])/3 + (103*s[72])/3 - (121*s[73])/6 - (1279*s[74])/36 + 
       (1321*s[75])/36 - (247*s[76])/9 - (49*s[77])/2 + (797*s[78])/18 + 
       (5881*s[79])/9 - (7825*s[80])/54 + 1551*s[82] + (11*s[83])/2 + 
       327*s[84] + 388*s[85]) + HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u]*((-5*s[1])/2 + 60*s[2] + (757*s[3])/4 + 
       (10569*s[4])/4 + (167427*s[5])/88 + (463501*s[6])/88 + 
       (23812031*s[7])/528 - (2655503*s[8])/792 - (1375859*s[9])/36 - 
       (875489*s[10])/72 - (26372087*s[11])/528 - (1807225*s[12])/33 - 
       (5865111*s[13])/176 - (3498893*s[14])/528 - (2823721*s[15])/48 - 
       (3333937*s[16])/44 - (30467221*s[17])/528 - (448115*s[18])/54 - 
       (1464997*s[19])/216 - (214983655*s[20])/2376 - 
       (156102125*s[21])/4752 + (113081791*s[22])/4752 + (4267389*s[23])/88 + 
       (118902263*s[24])/2376 - (1350970681*s[25])/21384 + 
       (745502953*s[26])/21384 + 6*s[28] + 7*s[29] + (7*s[30])/2 + 11*s[31] + 
       (13*s[32])/2 + (139*s[33])/8 + s[34]/2 - 24*s[35] - (155*s[36])/3 + 
       (269*s[37])/6 + 1638*s[38] - (23867*s[39])/4 + (82901*s[40])/12 - 
       (21731*s[41])/4 + (100279*s[42])/12 + (747283*s[43])/132 - 
       (1560161*s[44])/264 + (432593*s[45])/66 - (6533555*s[46])/132 + 
       (1249585*s[47])/792 + (1636147*s[48])/792 - (20222443*s[49])/792 + 
       (1247443*s[50])/33 + (4785611*s[51])/792 + (3880739*s[52])/792 - 
       (10081399*s[53])/396 + (29321*s[54])/66 - (43327859*s[55])/264 - 
       (11601511*s[56])/264 + (17010409*s[57])/396 - (61066645*s[58])/792 + 
       (60871535*s[59])/792 + (1958546269*s[60])/4752 - 
       (460891733*s[61])/21384 - 18*s[63] - s[64] + s[65] + 4*s[66] - 
       3*s[67] + 21*s[68] - 4*s[69] + 129*s[70] - 9*s[71] - 8*s[72] + 
       4*s[73] - (41*s[74])/2 + 12*s[75] + 25*s[76] - 140*s[77] - 26*s[78] + 
       648*s[79] - (544*s[80])/3 + 1014*s[82] - 18*s[83] + 276*s[84] + 
       396*s[85]) + HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((425*s[2])/4 + (587*s[3])/8 + (41049*s[4])/16 + (154661*s[5])/88 + 
       (890497*s[6])/176 + (15317993*s[7])/352 - (5171021*s[8])/1584 - 
       (663413*s[9])/18 - (423071*s[10])/36 - (50817209*s[11])/1056 - 
       (13928449*s[12])/264 - (34022303*s[13])/1056 - (6602705*s[14])/1056 - 
       (5444717*s[15])/96 - (9652141*s[16])/132 - (58771799*s[17])/1056 - 
       (853361*s[18])/108 - (2761849*s[19])/432 - (412810213*s[20])/4752 - 
       (297158987*s[21])/9504 + (218683939*s[22])/9504 + 
       (12405601*s[23])/264 + (28634125*s[24])/594 - (2611537855*s[25])/
        42768 + (1428318943*s[26])/42768 + s[28]/2 + 16*s[29] - (9*s[30])/2 + 
       58*s[31] + (3*s[32])/2 + 47*s[33] - (67*s[34])/2 - 32*s[35] - 
       (121*s[36])/2 + (509*s[37])/12 + (3135*s[38])/2 - 5840*s[39] + 
       (13511*s[40])/2 - (21435*s[41])/4 + (16433*s[42])/2 + 
       (60771*s[43])/11 - (1023001*s[44])/176 + (1655413*s[45])/264 - 
       (12723823*s[46])/264 + (805235*s[47])/528 + (1009307*s[48])/528 - 
       (13184177*s[49])/528 + (408675*s[50])/11 + (3132731*s[51])/528 + 
       (2500105*s[52])/528 - (9896311*s[53])/396 + (7750*s[54])/33 - 
       (28287065*s[55])/176 - (67897949*s[56])/1584 + (97618321*s[57])/2376 - 
       (1062929929*s[58])/14256 + (1062707071*s[59])/14256 + 
       (141684537*s[60])/352 - (2693292805*s[61])/128304 + 7*s[62] + s[64] + 
       3*s[65] + 4*s[66] - 8*s[67] + 7*s[68] - 6*s[69] + 73*s[70] - 
       10*s[71] - s[72] - 5*s[73] - (73*s[74])/4 + (45*s[75])/4 - 53*s[76] - 
       (159*s[77])/2 - 5*s[78] + 736*s[79] - (961*s[80])/6 - s[81]/3 + 
       1014*s[82] - 18*s[83] + 276*s[84] + 396*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[w, u, v]*(64*s[2] + (824*s[3])/3 + 
       (15740*s[4])/3 + (132992*s[5])/33 + (330124*s[6])/33 + 
       (26639648*s[7])/297 - (6396208*s[8])/891 - (6141716*s[9])/81 - 
       (1950436*s[10])/81 - (29179688*s[11])/297 - (31784608*s[12])/297 - 
       (6330784*s[13])/99 - (3786644*s[14])/297 - (1076864*s[15])/9 - 
       (5014172*s[16])/33 - (35059252*s[17])/297 - (4062532*s[18])/243 - 
       (3187484*s[19])/243 - (481306964*s[20])/2673 - 
       (174824744*s[21])/2673 + (126041296*s[22])/2673 + 
       (10084688*s[23])/99 + (261791668*s[24])/2673 - 
       (2995262180*s[25])/24057 + (1657907756*s[26])/24057 + (32*s[30])/3 + 
       (64*s[31])/3 - (32*s[32])/3 + (32*s[33])/3 - (64*s[34])/3 - 
       (128*s[35])/9 - (1408*s[36])/9 + (2816*s[37])/9 + 2720*s[38] - 
       (102568*s[39])/9 + (115688*s[40])/9 - (89936*s[41])/9 + 
       (149344*s[42])/9 + (978232*s[43])/99 - (1049236*s[44])/99 + 
       (131512*s[45])/11 - (9130016*s[46])/99 + (1191148*s[47])/297 + 
       (388324*s[48])/297 - (13339024*s[49])/297 + (6986368*s[50])/99 + 
       (3386072*s[51])/297 + (2755580*s[52])/297 - (14530936*s[53])/297 + 
       (249512*s[54])/99 - (30797716*s[55])/99 - (25090024*s[56])/297 + 
       (77270320*s[57])/891 - (389092904*s[58])/2673 + 
       (390065048*s[59])/2673 + (668865896*s[60])/891 - 
       (991543364*s[61])/24057 + (64*s[68])/3 - (64*s[69])/3 + 
       (128*s[72])/3 - (448*s[74])/9 + (448*s[75])/9 - (512*s[76])/9 + 
       (64*s[77])/9 + (128*s[78])/3 + (3584*s[79])/3 - (3200*s[80])/9 + 
       (5248*s[82])/3 + 512*s[84] + (1280*s[85])/3) + 
     HPL[{0, 1}, 1 - w]*Qep[u, v, w]*((88*s[2])/3 + 412*s[3] + 4554*s[4] + 
       (441500*s[5])/99 + (1032554*s[6])/99 + (79161911*s[7])/891 - 
       (17526574*s[8])/2673 - (18302000*s[9])/243 - (6140704*s[10])/243 - 
       (85412567*s[11])/891 - (90857092*s[12])/891 - (5991673*s[13])/99 - 
       (15410051*s[14])/891 - (3298987*s[15])/27 - (45175778*s[16])/297 - 
       (110349145*s[17])/891 - (12475708*s[18])/729 - (9324914*s[19])/729 - 
       (1463443598*s[20])/8019 - (547282649*s[21])/8019 + 
       (372236461*s[22])/8019 + (9101978*s[23])/99 + (783296482*s[24])/8019 - 
       (8609503118*s[25])/72171 + (4964045810*s[26])/72171 + (256*s[29])/9 + 
       (16*s[30])/3 + (128*s[31])/9 - (32*s[32])/9 + (88*s[33])/9 + 
       (112*s[34])/9 + (208*s[35])/9 - (3296*s[36])/27 + (760*s[37])/3 + 
       (19744*s[38])/9 - (88676*s[39])/9 + (303020*s[40])/27 - 
       (26692*s[41])/3 + (392140*s[42])/27 + (2638996*s[43])/297 - 
       (2771344*s[44])/297 + (393124*s[45])/33 - (26086696*s[46])/297 + 
       (2898992*s[47])/891 + (1069604*s[48])/891 - (35507672*s[49])/891 + 
       (20116552*s[50])/297 + (8920372*s[51])/891 + (7194364*s[52])/891 - 
       (42653960*s[53])/891 + (915944*s[54])/297 - (30428704*s[55])/99 - 
       (73569200*s[56])/891 + (171513080*s[57])/2673 - 
       (1076512852*s[58])/8019 + (1088667136*s[59])/8019 + 
       (1918745578*s[60])/2673 - (2917060138*s[61])/72171 + (32*s[65])/9 + 
       (128*s[66])/9 - (320*s[67])/9 - (128*s[68])/9 - (512*s[69])/9 - 
       (320*s[70])/9 - (80*s[71])/9 + (352*s[72])/9 + (352*s[73])/9 - 
       40*s[74] + 40*s[75] - (544*s[76])/9 + (208*s[77])/9 + (544*s[78])/9 + 
       (3392*s[79])/3 - (2480*s[80])/9 + 2368*s[82] - (32*s[83])/3 + 
       (1408*s[84])/3 + (1408*s[85])/3) + HPL[{0, 1}, 1 - w]*Qep[w, v, u]*
      ((248*s[2])/3 + 188*s[3] + (34462*s[4])/3 + (632612*s[5])/99 + 
       (1775810*s[6])/99 + (146855315*s[7])/891 - (39964270*s[8])/2673 - 
       (33521600*s[9])/243 - (9834496*s[10])/243 - (162618587*s[11])/891 - 
       (180686284*s[12])/891 - (36460807*s[13])/297 - (10991039*s[14])/891 - 
       (1941605*s[15])/9 - (27309478*s[16])/99 - (182967661*s[17])/891 - 
       (21081196*s[18])/729 - (18013826*s[19])/729 - (2554620470*s[20])/
        8019 - (900697661*s[21])/8019 + (694534177*s[22])/8019 + 
       (62327318*s[23])/297 + (1426491754*s[24])/8019 - 
       (17103175274*s[25])/72171 + (9070938326*s[26])/72171 - (128*s[29])/9 + 
       48*s[30] + (512*s[31])/9 + (64*s[32])/9 + (568*s[33])/9 - 
       (848*s[34])/9 - (944*s[35])/9 - (13952*s[36])/27 + 632*s[37] + 
       (57376*s[38])/9 - (231068*s[39])/9 + (768500*s[40])/27 - 
       (66620*s[41])/3 + (1005940*s[42])/27 + (6554860*s[43])/297 - 
       (6988456*s[44])/297 + (775228*s[45])/33 - (57082552*s[46])/297 + 
       (7981472*s[47])/891 + (1663820*s[48])/891 - (89227304*s[49])/891 + 
       (43704328*s[50])/297 + (22655308*s[51])/891 + (18132604*s[52])/891 - 
       (90954296*s[53])/891 + (1240952*s[54])/297 - (21191848*s[55])/33 - 
       (151664288*s[56])/891 + (515512592*s[57])/2673 - 
       (2438679412*s[58])/8019 + (2476896904*s[59])/8019 + 
       (4175526862*s[60])/2673 - (5909881006*s[61])/72171 - (64*s[65])/9 - 
       (256*s[66])/9 + (256*s[67])/9 + (256*s[68])/9 + (256*s[69])/9 - 
       (128*s[70])/9 - (80*s[71])/9 + (1120*s[72])/9 - (416*s[73])/9 - 
       136*s[74] + 136*s[75] - (1504*s[76])/9 - (176*s[77])/9 + 
       (1888*s[78])/9 + (6848*s[79])/3 - (4112*s[80])/9 + 832*s[82] + 
       (64*s[83])/3 + (3136*s[84])/3 + (1408*s[85])/3) + 
     HPL[{0, 1}, 1 - u]*Qep[v, w, u]*(96*s[2] + (136*s[3])/3 + 
       (7660*s[4])/3 + (11608*s[5])/3 + (23464*s[6])/3 + (1753304*s[7])/27 - 
       (35564*s[8])/9 - (504256*s[9])/9 - (168580*s[10])/9 - 
       (630566*s[11])/9 - 74162*s[12] - (1179592*s[13])/27 - 
       (147728*s[14])/9 - (2372488*s[15])/27 - (2972548*s[16])/27 - 
       (2422058*s[17])/27 - (1143608*s[18])/81 - (599440*s[19])/81 - 
       (11123192*s[20])/81 - (4317388*s[21])/81 + (924884*s[22])/27 + 
       (1714982*s[23])/27 + (1903594*s[24])/27 - (61810594*s[25])/729 + 
       (37328974*s[26])/729 + (128*s[29])/3 - (64*s[30])/3 + (128*s[31])/3 + 
       16*s[32] - (88*s[33])/3 + (64*s[34])/3 + (32*s[35])/3 + 32*s[36] + 
       (1720*s[37])/9 + (5072*s[38])/3 - (20824*s[39])/3 + (24184*s[40])/3 - 
       6344*s[41] + (29900*s[42])/3 + (70232*s[43])/11 - (218714*s[44])/33 + 
       (847420*s[45])/99 - (6177340*s[46])/99 + (73202*s[47])/33 + 
       (55690*s[48])/33 - (921538*s[49])/33 + (1549024*s[50])/33 + 
       (700642*s[51])/99 + (66290*s[52])/11 - (9697892*s[53])/297 + 
       (351920*s[54])/99 - (21007130*s[55])/99 - (17865934*s[56])/297 + 
       (46220896*s[57])/891 - (261274646*s[58])/2673 + 
       (257545406*s[59])/2673 + (151014859*s[60])/297 - 
       (701718044*s[61])/24057 + (32*s[65])/3 + (128*s[66])/3 - 64*s[67] - 
       128*s[69] - (16*s[71])/3 - (64*s[72])/3 + (320*s[73])/3 - 
       (16*s[74])/3 + (16*s[75])/3 - (64*s[76])/3 + (160*s[77])/3 - 
       (320*s[78])/3 + 960*s[79] - (3280*s[80])/9 + 2048*s[82] - 32*s[83] + 
       448*s[84] + 512*s[85]) + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[v, w, u]*
      (64*s[2] + (688*s[3])/3 + (15568*s[4])/3 + (123056*s[5])/33 + 
       (318080*s[6])/33 + (25327972*s[7])/297 - (6359576*s[8])/891 - 
       (5813080*s[9])/81 - (1822160*s[10])/81 - (27782992*s[11])/297 - 
       (30377216*s[12])/297 - (6065896*s[13])/99 - (3308116*s[14])/297 - 
       (1018988*s[15])/9 - (14262152*s[16])/99 - (33056624*s[17])/297 - 
       (3852620*s[18])/243 - (3003172*s[19])/243 - (453594556*s[20])/2673 - 
       (164136376*s[21])/2673 + (119584808*s[22])/2673 + (9862964*s[23])/99 + 
       (247779056*s[24])/2673 - (2864610376*s[25])/24057 + 
       (1574256976*s[26])/24057 + (32*s[30])/3 + (64*s[31])/3 - 
       (16*s[32])/3 - (16*s[33])/3 - (64*s[35])/3 - 144*s[36] + 
       (2848*s[37])/9 + (7984*s[38])/3 - (34012*s[39])/3 + 12804*s[40] - 
       (29924*s[41])/3 + 16588*s[42] + (317732*s[43])/33 - 
       (346768*s[44])/33 + (1138288*s[45])/99 - (8930740*s[46])/99 + 
       (45448*s[47])/11 + (10468*s[48])/11 - (1457288*s[49])/33 + 
       (761088*s[50])/11 + (1134044*s[51])/99 + (302900*s[52])/33 - 
       (14271380*s[53])/297 + (269312*s[54])/99 - (30164116*s[55])/99 - 
       (24486520*s[56])/297 + (76831684*s[57])/891 - (380853860*s[58])/2673 + 
       (382480988*s[59])/2673 + (217792852*s[60])/297 - 
       (966912164*s[61])/24057 + (64*s[68])/3 - (64*s[69])/3 + (16*s[71])/3 + 
       (128*s[72])/3 - (160*s[74])/3 + (160*s[75])/3 - (128*s[76])/3 + 
       (128*s[78])/3 + (3776*s[79])/3 - (3904*s[80])/9 + 2240*s[82] + 
       512*s[84] + 512*s[85]) + HPL[{0, 1}, 1 - w]*Qep[v, w, u]*
      (32*s[2] + (1240*s[3])/3 + (23380*s[4])/3 + (42956*s[5])/11 + 
       (389432*s[6])/33 + (32299534*s[7])/297 - (9230080*s[8])/891 - 
       (7321628*s[9])/81 - (2209660*s[10])/81 - (35669066*s[11])/297 - 
       (39653512*s[12])/297 - (23794630*s[13])/297 - (2420534*s[14])/297 - 
       (3855278*s[15])/27 - (54369772*s[16])/297 - (4529266*s[17])/33 - 
       (4663264*s[18])/243 - (4064264*s[19])/243 - (563263160*s[20])/2673 - 
       (196340978*s[21])/2673 + (152002702*s[22])/2673 + 
       (40943300*s[23])/297 + (313519336*s[24])/2673 - 
       (3756525242*s[25])/24057 + (1983408530*s[26])/24057 - (128*s[29])/3 + 
       (128*s[30])/3 - (16*s[32])/3 + (56*s[33])/3 - (64*s[34])/3 - 
       (160*s[35])/3 - 320*s[36] + (4552*s[37])/9 + (10864*s[38])/3 - 
       (47528*s[39])/3 + 17656*s[40] - (41440*s[41])/3 + (69920*s[42])/3 + 
       (39080*s[43])/3 - (43690*s[44])/3 + (134108*s[45])/9 - 
       (1090076*s[46])/9 + (54670*s[47])/9 + (1318*s[48])/9 - 
       (547210*s[49])/9 + 93312*s[50] + (48178*s[51])/3 + (113618*s[52])/9 - 
       (1750732*s[53])/27 + (24976*s[54])/9 - (3671614*s[55])/9 - 
       (2931242*s[56])/27 + (9754292*s[57])/81 - (46587478*s[58])/243 + 
       (47049934*s[59])/243 + (26485117*s[60])/27 - (115692616*s[61])/2187 - 
       (32*s[65])/3 - (128*s[66])/3 + 64*s[67] + (128*s[68])/3 + 
       (256*s[69])/3 + 16*s[71] + (320*s[72])/3 - (320*s[73])/3 - 
       (304*s[74])/3 + (304*s[75])/3 - 64*s[76] - (160*s[77])/3 + 192*s[78] + 
       (4672*s[79])/3 - (4528*s[80])/9 + 2560*s[82] + 32*s[83] + 576*s[84] + 
       512*s[85]) + HPL[{0, 1}, 1 - v]*Qep[v, w, u]*
      (64*s[2] + (1240*s[3])/3 + (24916*s[4])/3 + (47088*s[5])/11 + 
       (417904*s[6])/33 + (34826992*s[7])/297 - (9886024*s[8])/891 - 
       (7899188*s[9])/81 - (2381080*s[10])/81 - (38548916*s[11])/297 - 
       (42878218*s[12])/297 - (25754602*s[13])/297 - (2558714*s[14])/297 - 
       (4160936*s[15])/27 - (58643050*s[16])/297 - (4875944*s[17])/33 - 
       (4932352*s[18])/243 - (4492172*s[19])/243 - (606840020*s[20])/2673 - 
       (211765406*s[21])/2673 + (164000734*s[22])/2673 + 
       (43869644*s[23])/297 + (340783636*s[24])/2673 - 
       (4060090934*s[25])/24057 + (2143148138*s[26])/24057 - (128*s[29])/3 + 
       (128*s[30])/3 - (80*s[32])/3 + (8*s[33])/3 - (160*s[35])/3 - 
       (992*s[36])/3 + (4120*s[37])/9 + 4016*s[38] - 17208*s[39] + 
       (57352*s[40])/3 - (44600*s[41])/3 + (75604*s[42])/3 + 
       (473720*s[43])/33 - (521716*s[44])/33 + (1595500*s[45])/99 - 
       (12958780*s[46])/99 + (650908*s[47])/99 + (45556*s[48])/99 - 
       (6609904*s[49])/99 + (3320096*s[50])/33 + (1716152*s[51])/99 + 
       (1341452*s[52])/99 - (20764088*s[53])/297 + (250424*s[54])/99 - 
       (4834540*s[55])/11 - (34560928*s[56])/297 + (115525840*s[57])/891 - 
       (552780584*s[58])/2673 + (559672496*s[59])/2673 + 
       (105206810*s[60])/99 - (1365242996*s[61])/24057 - (32*s[65])/3 - 
       (128*s[66])/3 + 64*s[67] + (128*s[68])/3 + (256*s[69])/3 + 16*s[71] + 
       (320*s[72])/3 - (320*s[73])/3 - (304*s[74])/3 + (304*s[75])/3 - 
       64*s[76] - (32*s[77])/3 + 192*s[78] + (4672*s[79])/3 - 
       (4624*s[80])/9 + 2688*s[82] + 32*s[83] + 576*s[84] + 512*s[85]) + 
     HPL[{0, 1}, 1 - u]*Qep[u, v, w]*((1336*s[2])/9 + (988*s[3])/3 + 
       (42542*s[4])/9 + (42136*s[5])/9 + (98314*s[6])/9 + (7606793*s[7])/81 - 
       (1661278*s[8])/243 - (19368688*s[9])/243 - (6434852*s[10])/243 - 
       (8262701*s[11])/81 - (8872378*s[12])/81 - (1751239*s[13])/27 - 
       (1485455*s[14])/81 - (3424403*s[15])/27 - (1438892*s[16])/9 - 
       (10343467*s[17])/81 - (13592468*s[18])/729 - (9365026*s[19])/729 - 
       (141082514*s[20])/729 - (52670789*s[21])/729 + (35909749*s[22])/729 + 
       (2640146*s[23])/27 + (75184162*s[24])/729 - (831345374*s[25])/6561 + 
       (478301438*s[26])/6561 - (16*s[30])/3 + (256*s[31])/9 - 
       (128*s[32])/9 + (40*s[33])/9 + (16*s[34])/9 + (304*s[35])/9 - 
       (3200*s[36])/27 + (2392*s[37])/9 + (23200*s[38])/9 - (96316*s[39])/9 + 
       (329108*s[40])/27 - (28804*s[41])/3 + (418240*s[42])/27 + 
       (2902924*s[43])/297 - (3049234*s[44])/297 + (417292*s[45])/33 - 
       (27830632*s[46])/297 + (2971718*s[47])/891 + (2015906*s[48])/891 - 
       (38827454*s[49])/891 + (21219400*s[50])/297 + (9733534*s[51])/891 + 
       (7928902*s[52])/891 - (44426252*s[53])/891 + (1072400*s[54])/297 - 
       (95238026*s[55])/297 - (78087650*s[56])/891 + (199321172*s[57])/2673 - 
       (1163408842*s[58])/8019 + (1162916974*s[59])/8019 + 
       (2049384343*s[60])/2673 - (3097058050*s[61])/72171 + (32*s[65])/9 + 
       (128*s[66])/9 - (64*s[67])/9 + (128*s[68])/9 - (256*s[69])/9 - 
       (64*s[70])/9 - (80*s[71])/9 + (160*s[72])/9 + (160*s[73])/9 - 
       (344*s[74])/9 + (344*s[75])/9 - (160*s[76])/3 - (80*s[77])/9 - 
       (160*s[78])/9 + (3392*s[79])/3 - (880*s[80])/3 + 2432*s[82] - 
       (32*s[83])/3 + 512*s[84] + (1664*s[85])/3) + 
     HPL[{0, 1}, 1 - v]*Qep[u, v, w]*((632*s[2])/9 + (6836*s[3])/9 + 
       (87742*s[4])/9 + (475180*s[5])/99 + (1451134*s[6])/99 + 
       (121375597*s[7])/891 - (34348198*s[8])/2673 - (27478676*s[9])/243 - 
       (8415844*s[10])/243 - (134474999*s[11])/891 - (149794324*s[12])/891 - 
       (89700385*s[13])/891 - (8981471*s[14])/891 - (14465171*s[15])/81 - 
       (204810412*s[16])/891 - (51084571*s[17])/297 - (17458276*s[18])/729 - 
       (15764354*s[19])/729 - (2122820222*s[20])/8019 - 
       (740907569*s[21])/8019 + (570805957*s[22])/8019 + 
       (153234548*s[23])/891 + (1184887600*s[24])/8019 - 
       (14150651414*s[25])/72171 + (7486173122*s[26])/72171 - (256*s[29])/3 + 
       (176*s[30])/3 - (256*s[31])/9 - (448*s[32])/9 - (40*s[33])/9 + 
       (80*s[34])/9 - (208*s[35])/9 - (12800*s[36])/27 + (10888*s[37])/27 + 
       (41984*s[38])/9 - (178196*s[39])/9 + (595100*s[40])/27 - 
       (154012*s[41])/9 + (778084*s[42])/27 + (4881988*s[43])/297 - 
       (5433082*s[44])/297 + (5602876*s[45])/297 - (44840672*s[46])/297 + 
       (6579398*s[47])/891 + (772586*s[48])/891 - (68638562*s[49])/891 + 
       (34470856*s[50])/297 + (17596858*s[51])/891 + (14022070*s[52])/891 - 
       (71364844*s[53])/891 + (607216*s[54])/297 - (150049198*s[55])/297 - 
       (39761618*s[56])/297 + (135601984*s[57])/891 - (213744074*s[58])/891 + 
       (215650174*s[59])/891 + (3276019057*s[60])/2673 - 
       (1580709874*s[61])/24057 - (160*s[65])/9 - (640*s[66])/9 + 
       (1088*s[67])/9 + (512*s[68])/9 + (1664*s[69])/9 - (64*s[70])/9 + 
       (112*s[71])/9 + (1184*s[72])/9 - (544*s[73])/3 - (392*s[74])/3 + 
       (392*s[75])/3 - (736*s[76])/9 - (592*s[77])/9 + (2144*s[78])/9 + 
       (15040*s[79])/9 - (12016*s[80])/27 + 2688*s[82] + (160*s[83])/3 + 
       640*s[84] + (1664*s[85])/3) + HPL[{0, 1}, 1 - v]*Qep[w, v, u]*
      ((920*s[2])/9 - (172*s[3])/9 + (107566*s[4])/9 + (67220*s[5])/9 + 
       (179858*s[6])/9 + (14757047*s[7])/81 - (3870578*s[8])/243 - 
       (37271396*s[9])/243 - (11032540*s[10])/243 - (16350469*s[11])/81 - 
       (18147536*s[12])/81 - (10961231*s[13])/81 - (1371025*s[14])/81 - 
       (19212323*s[15])/81 - (24656144*s[16])/81 - (6112969*s[17])/27 - 
       (24296980*s[18])/729 - (18816938*s[19])/729 - (259459882*s[20])/729 - 
       (93026431*s[21])/729 + (70021427*s[22])/729 + (18272044*s[23])/81 + 
       (142952984*s[24])/729 - (1703649310*s[25])/6561 + 
       (919360258*s[26])/6561 - (128*s[29])/3 + (112*s[30])/3 + 
       (512*s[31])/9 + (32*s[32])/9 + (392*s[33])/9 - (1072*s[34])/9 - 
       (976*s[35])/9 - (14432*s[36])/27 + (16408*s[37])/27 + 
       (63872*s[38])/9 - (254444*s[39])/9 + (846212*s[40])/27 - 
       (221332*s[41])/9 + (1105636*s[42])/27 + (7251388*s[43])/297 - 
       (7677742*s[44])/297 + (7621156*s[45])/297 - (62616320*s[46])/297 + 
       (8808746*s[47])/891 + (2137862*s[48])/891 - (98551478*s[49])/891 + 
       (47772232*s[50])/297 + (24953086*s[51])/891 + (20241778*s[52])/891 - 
       (98770420*s[53])/891 + (1421392*s[54])/297 - (207421282*s[55])/297 - 
       (55296742*s[56])/297 + (21550688*s[57])/99 - (897127642*s[58])/2673 + 
       (906895438*s[59])/2673 + (4579812163*s[60])/2673 - 
       (2159253686*s[61])/24057 - (64*s[65])/9 - (256*s[66])/9 + 
       (512*s[67])/9 + (512*s[68])/9 + (512*s[69])/9 + (128*s[70])/9 - 
       (80*s[71])/9 + (1184*s[72])/9 - 96*s[73] - (424*s[74])/3 + 
       (424*s[75])/3 - (1312*s[76])/9 - (208*s[77])/9 + (1952*s[78])/9 + 
       (21568*s[79])/9 - (13648*s[80])/27 + 1024*s[82] + (64*s[83])/3 + 
       1088*s[84] + (1664*s[85])/3) + HPL[{0, 1}, 1 - u]*Qep[w, v, u]*
      ((88*s[2])/9 + (316*s[3])/3 + (107246*s[4])/9 + (730016*s[5])/99 + 
       (1918550*s[6])/99 + (159833455*s[7])/891 - (42681482*s[8])/2673 - 
       (36597856*s[9])/243 - (10895108*s[10])/243 - (176653339*s[11])/891 - 
       (195684422*s[12])/891 - (39374257*s[13])/297 - (14065273*s[14])/891 - 
       (2116189*s[15])/9 - (89220260*s[16])/297 - (200651477*s[17])/891 - 
       (23125556*s[18])/729 - (19697890*s[19])/729 - (2797682110*s[20])/
        8019 - (992127139*s[21])/8019 + (756431795*s[22])/8019 + 
       (65573078*s[23])/297 + (1559581862*s[24])/8019 - 
       (18487235326*s[25])/72171 + (9876408646*s[26])/72171 - (128*s[29])/3 + 
       (112*s[30])/3 + (256*s[31])/9 - (32*s[32])/9 - (344*s[33])/9 - 
       (560*s[34])/9 - (848*s[35])/9 - (14048*s[36])/27 + (2072*s[37])/3 + 
       (61984*s[38])/9 - (247108*s[39])/9 + (822284*s[40])/27 - 23780*s[41] + 
       (1073752*s[42])/27 + (7026676*s[43])/297 - (7449754*s[44])/297 + 
       (2560796*s[45])/99 - (61759960*s[46])/297 + (8657030*s[47])/891 + 
       (1842794*s[48])/891 - (95867774*s[49])/891 + (47422600*s[50])/297 + 
       (24521782*s[51])/891 + (19538278*s[52])/891 - (98652716*s[53])/891 + 
       (1318016*s[54])/297 - (206985410*s[55])/297 - (163613858*s[56])/891 + 
       (540150668*s[57])/2673 - (2625737914*s[58])/8019 + 
       (2663011270*s[59])/8019 + (4528175995*s[60])/2673 - 
       (6439612006*s[61])/72171 - (64*s[65])/9 - (256*s[66])/9 + 
       (512*s[67])/9 + (512*s[68])/9 + (512*s[69])/9 + (128*s[70])/9 - 
       (80*s[71])/9 + (928*s[72])/9 - (608*s[73])/9 - (1208*s[74])/9 + 
       (1208*s[75])/9 - (352*s[76])/3 - (80*s[77])/9 + (1184*s[78])/9 + 
       (6848*s[79])/3 - (4592*s[80])/9 + 1408*s[82] + (64*s[83])/3 + 
       1088*s[84] + (1664*s[85])/3) + HPL[{0, 1}, 1 - w]*Qep[v, u, w]*
      (120*s[2] + (1364*s[3])/3 + (33950*s[4])/3 + (230992*s[5])/33 + 
       (640298*s[6])/33 + (5667721*s[7])/33 - (13109230*s[8])/891 - 
       (11667020*s[9])/81 - (3516916*s[10])/81 - (56282153*s[11])/297 - 
       (62063680*s[12])/297 - (37589675*s[13])/297 - (5105117*s[14])/297 - 
       (6087331*s[15])/27 - (85476914*s[16])/297 - (64529939*s[17])/297 - 
       (7589164*s[18])/243 - (6076034*s[19])/243 - (897364598*s[20])/2673 - 
       (321195455*s[21])/2673 + (240794647*s[22])/2673 + 
       (62269858*s[23])/297 + (496171894*s[24])/2673 - 
       (5868711956*s[25])/24057 + (3168001280*s[26])/24057 + (64*s[29])/3 + 
       (112*s[30])/3 + (256*s[31])/3 + 16*s[32] + 80*s[33] - 112*s[34] - 
       112*s[35] - (4096*s[36])/9 + (4688*s[37])/9 + (19024*s[38])/3 - 
       (75812*s[39])/3 + (253516*s[40])/9 - (66356*s[41])/3 + 
       (327572*s[42])/9 + (202012*s[43])/9 - (211414*s[44])/9 + 
       (228064*s[45])/9 - (1795700*s[46])/9 + (219386*s[47])/27 + 
       (95462*s[48])/27 - (2724326*s[49])/27 + (1374040*s[50])/9 + 
       (674902*s[51])/27 + (547882*s[52])/27 - (2859364*s[53])/27 + 
       (44824*s[54])/9 - (6046262*s[55])/9 - (1612382*s[56])/9 + 
       (4913164*s[57])/27 - (8423090*s[58])/27 + (8520118*s[59])/27 + 
       (131924497*s[60])/81 - (63276718*s[61])/729 - (64*s[67])/3 - 
       (128*s[69])/3 - (64*s[70])/3 - (64*s[71])/3 + 96*s[72] + 
       (160*s[73])/3 - (344*s[74])/3 + (344*s[75])/3 - (608*s[76])/3 + 
       16*s[77] + (416*s[78])/3 + (6656*s[79])/3 - (3104*s[80])/9 + 
       1216*s[82] + 1088*s[84] + 640*s[85]) + HPL[{0, 1}, 1 - w]*Qep[u, w, v]*
      ((224*s[2])/3 + 616*s[3] + 14676*s[4] + (724228*s[5])/99 + 
       (2187640*s[6])/99 + (180869314*s[7])/891 - (50329832*s[8])/2673 - 
       (41121628*s[9])/243 - (12008612*s[10])/243 - (200997154*s[11])/891 - 
       (224637392*s[12])/891 - (15116710*s[13])/99 - (11181190*s[14])/891 - 
       (7109126*s[15])/27 - (100709128*s[16])/297 - (222018386*s[17])/891 - 
       (26151560*s[18])/729 - (22181416*s[19])/729 - (3130103512*s[20])/
        8019 - (1094361562*s[21])/8019 + (854058086*s[22])/8019 + 
       (26085536*s[23])/99 + (1748131580*s[24])/8019 - 
       (21230247886*s[25])/72171 + (11173537942*s[26])/72171 - 
       (448*s[29])/9 + (224*s[30])/3 + (640*s[31])/9 - (16*s[32])/9 + 
       (800*s[33])/9 - (1312*s[34])/9 - (1696*s[35])/9 - (19648*s[36])/27 + 
       680*s[37] + (71504*s[38])/9 - (285736*s[39])/9 + (949432*s[40])/27 - 
       (82544*s[41])/3 + (1236416*s[42])/27 + (738616*s[43])/27 - 
       (790090*s[44])/27 + 30156*s[45] - (6533140*s[46])/27 + 
       (875030*s[47])/81 + (251390*s[48])/81 - (10135442*s[49])/81 + 
       (4999600*s[50])/27 + (2534302*s[51])/81 + (2049826*s[52])/81 - 
       (10372412*s[53])/81 + (112976*s[54])/27 - (7276702*s[55])/9 - 
       (17395910*s[56])/81 + (57766196*s[57])/243 - (278858266*s[58])/729 + 
       (282353434*s[59])/729 + (478388113*s[60])/243 - 
       (684573388*s[61])/6561 - (128*s[65])/9 - (512*s[66])/9 + 
       (704*s[67])/9 + (512*s[68])/9 + (896*s[69])/9 + (128*s[70])/9 - 
       (112*s[71])/9 + (1472*s[72])/9 - (832*s[73])/9 - 176*s[74] + 
       176*s[75] - (1856*s[76])/9 - (544*s[77])/9 + (2432*s[78])/9 + 
       (7360*s[79])/3 - (3376*s[80])/9 + 1408*s[82] + (128*s[83])/3 + 
       (3584*s[84])/3 + (2048*s[85])/3) + HPL[{0, 1}, 1 - u]*Qep[w, u, v]*
      ((728*s[2])/9 + (1844*s[3])/3 + (69778*s[4])/9 + (527512*s[5])/99 + 
       (1385686*s[6])/99 + (112078259*s[7])/891 - (27559390*s[8])/2673 - 
       (25704128*s[9])/243 - (8128960*s[10])/243 - (123436205*s[11])/891 - 
       (135514240*s[12])/891 - (26960333*s[13])/297 - (14594693*s[14])/891 - 
       (1496593*s[15])/9 - (63155632*s[16])/297 - (144851911*s[17])/891 - 
       (17276068*s[18])/729 - (13440314*s[19])/729 - (2019209246*s[20])/
        8019 - (728501795*s[21])/8019 + (529252435*s[22])/8019 + 
       (43252708*s[23])/297 + (1100923108*s[24])/8019 - 
       (12716815412*s[25])/72171 + (6992626808*s[26])/72171 - (64*s[29])/3 + 
       (80*s[30])/3 + (128*s[31])/9 - (16*s[32])/9 - (136*s[33])/9 - 
       (208*s[34])/9 - (496*s[35])/9 - (7456*s[36])/27 + 416*s[37] + 
       (36176*s[38])/9 - (147908*s[39])/9 + (498892*s[40])/27 - 14500*s[41] + 
       (637100*s[42])/27 + (4316372*s[43])/297 - (4640204*s[44])/297 + 
       (1715464*s[45])/99 - (39812516*s[46])/297 + (4774852*s[47])/891 + 
       (2499304*s[48])/891 - (59302588*s[49])/891 + (30354488*s[50])/297 + 
       (14502728*s[51])/891 + (11799944*s[52])/891 - (62829904*s[53])/891 + 
       (841888*s[54])/297 - (133629088*s[55])/297 - (108202228*s[56])/891 + 
       (324891076*s[57])/2673 - (1686212060*s[58])/8019 + 
       (1690014560*s[59])/8019 + (2929306802*s[60])/2673 - 
       (4293566690*s[61])/72171 - (32*s[65])/9 - (128*s[66])/9 + 
       (256*s[67])/9 + (256*s[68])/9 + (256*s[69])/9 + (64*s[70])/9 + 
       (32*s[71])/9 + (608*s[72])/9 - (160*s[73])/9 - (712*s[74])/9 + 
       (712*s[75])/9 - (224*s[76])/3 - (112*s[77])/9 + (736*s[78])/9 + 
       (4480*s[79])/3 - (3904*s[80])/9 + 2944*s[82] + (32*s[83])/3 + 
       640*s[84] + (2176*s[85])/3) + HPL[{0, 1}, 1 - v]*Qep[w, u, v]*
      ((1144*s[2])/9 + (4972*s[3])/9 + (72314*s[4])/9 + (545948*s[5])/99 + 
       (1399502*s[6])/99 + (116502569*s[7])/891 - (29170406*s[8])/2673 - 
       (26712064*s[9])/243 - (8526212*s[10])/243 - (127818979*s[11])/891 - 
       (139746050*s[12])/891 - (83365151*s[13])/891 - (14564773*s[14])/891 - 
       (14161255*s[15])/81 - (197637278*s[16])/891 - (50923699*s[17])/297 - 
       (17067980*s[18])/729 - (14995030*s[19])/729 - (2090499586*s[20])/
        8019 - (745509115*s[21])/8019 + (549989591*s[22])/8019 + 
       (132535756*s[23])/891 + (1154970728*s[24])/8019 - 
       (13222701628*s[25])/72171 + (7191092284*s[26])/72171 - (64*s[29])/3 + 
       (80*s[30])/3 + (256*s[31])/9 - (272*s[32])/9 + (232*s[33])/9 - 
       (464*s[34])/9 - (560*s[35])/9 - (7648*s[36])/27 + (10112*s[37])/27 + 
       (36400*s[38])/9 - (152188*s[39])/9 + (512692*s[40])/27 - 
       (133364*s[41])/9 + (659360*s[42])/27 + (4412204*s[43])/297 - 
       (4753658*s[44])/297 + (5413208*s[45])/297 - (41406988*s[46])/297 + 
       (5053966*s[47])/891 + (2055322*s[48])/891 - (61087294*s[49])/891 + 
       (31967000*s[50])/297 + (15182726*s[51])/891 + (11894654*s[52])/891 - 
       (66601364*s[53])/891 + (638696*s[54])/297 - (141166310*s[55])/297 - 
       (37265390*s[56])/297 + (34460072*s[57])/297 - (575463986*s[58])/2673 + 
       (581047886*s[59])/2673 + (3057581597*s[60])/2673 - 
       (1491734290*s[61])/24057 - (32*s[65])/9 - (128*s[66])/9 + 
       (256*s[67])/9 + (256*s[68])/9 + (256*s[69])/9 + (64*s[70])/9 + 
       (32*s[71])/9 + (736*s[72])/9 - 32*s[73] - (248*s[74])/3 + 
       (248*s[75])/3 - (800*s[76])/9 - (176*s[77])/9 + (1120*s[78])/9 + 
       (13952*s[79])/9 - (11648*s[80])/27 + 3328*s[82] + (32*s[83])/3 + 
       640*s[84] + (2176*s[85])/3) + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - v]*((125*s[2])/4 + (3045*s[3])/8 + 
       (9091*s[4])/16 + (14287*s[5])/8 + (49629*s[6])/16 + 
       (7601029*s[7])/288 - (475715*s[8])/432 - (1214539*s[9])/54 - 
       (274636*s[10])/27 - (7915343*s[11])/288 - (1928515*s[12])/72 - 
       (4335049*s[13])/288 - (3022751*s[14])/288 - (11619985*s[15])/288 - 
       (435755*s[16])/9 - (4354571*s[17])/96 - (1556785*s[18])/324 - 
       (7309601*s[19])/1296 - (78176311*s[20])/1296 - (60867317*s[21])/2592 + 
       (35153677*s[22])/2592 + (822299*s[23])/72 + (2692265*s[24])/81 - 
       (369914749*s[25])/11664 + (238114393*s[26])/11664 - 2*s[28] + 
       9*s[29] - (41*s[30])/2 - 36*s[31] - s[32] - (301*s[33])/4 + 
       (217*s[34])/2 + (105*s[35])/2 + (197*s[36])/2 - (2251*s[37])/12 + 
       (405*s[38])/2 - (2265*s[39])/4 + (11413*s[40])/12 - 918*s[41] + 
       (3833*s[42])/12 + (288437*s[43])/132 - (966527*s[44])/528 + 
       (1314427*s[45])/264 - (6922055*s[46])/264 - (2266559*s[47])/1584 + 
       (6394621*s[48])/1584 - (16071655*s[49])/1584 + (1431931*s[50])/66 + 
       (268793*s[51])/1584 - (575605*s[52])/1584 - (1573898*s[53])/99 - 
       (189317*s[54])/66 - (57709843*s[55])/528 - (4597905*s[56])/176 - 
       (21880759*s[57])/792 - (131796607*s[58])/4752 + 
       (144214297*s[59])/4752 + (2297070139*s[60])/9504 - 
       (203142545*s[61])/14256 + 4*s[64] + 6*s[65] + 8*s[66] - 12*s[67] - 
       49*s[68] + 20*s[69] + 32*s[70] - 6*s[71] - 7*s[72] + 35*s[73] + 
       (123*s[74])/4 - (93*s[75])/4 + 75*s[76] - (71*s[77])/2 - 97*s[78] - 
       48*s[79] - (451*s[80])/6 + 3474*s[82] - 15*s[83] - 18*s[84] + 
       732*s[85]) + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 
       1 - u]*(-s[1] + (371*s[2])/6 + (703*s[3])/2 + (4935*s[4])/8 + 
       (151839*s[5])/88 + (67039*s[6])/22 + (10911277*s[7])/396 - 
       (446905*s[8])/396 - (211865*s[9])/9 - (765611*s[10])/72 - 
       (2536981*s[11])/88 - (933226*s[12])/33 - (12737245*s[13])/792 - 
       (455023*s[14])/44 - (1511419*s[15])/36 - (4983194*s[16])/99 - 
       (36915485*s[17])/792 - (83047*s[18])/18 - (111805*s[19])/18 - 
       (24728749*s[20])/396 - (56749325*s[21])/2376 + (16943947*s[22])/1188 + 
       (9015857*s[23])/792 + (83278751*s[24])/2376 - (179998637*s[25])/5346 + 
       (226216765*s[26])/10692 - s[28]/2 + 12*s[29] - (41*s[30])/2 - 
       17*s[31] - (19*s[32])/2 - (281*s[33])/8 + (129*s[34])/2 + 53*s[35] + 
       (439*s[36])/3 - (567*s[37])/2 - 148*s[38] + (3287*s[39])/4 - 
       (6337*s[40])/12 + (707*s[41])/4 - (19691*s[42])/12 + 
       (144121*s[43])/132 - (40037*s[44])/66 + (37605*s[45])/11 - 
       (1986559*s[46])/132 - (797413*s[47])/396 + (397922*s[48])/99 - 
       (1980371*s[49])/396 + (442282*s[50])/33 - (237151*s[51])/198 - 
       (544397*s[52])/396 - (3940925*s[53])/396 - (88279*s[54])/33 - 
       (789281*s[55])/11 - (6151193*s[56])/396 - (47890351*s[57])/1188 - 
       (33497551*s[58])/3564 + (10743784*s[59])/891 + 
       (366141605*s[60])/2376 - (570263069*s[61])/64152 + 4*s[64] + 6*s[65] + 
       8*s[66] - 12*s[67] - 49*s[68] + 20*s[69] + 32*s[70] - 10*s[71] + 
       2*s[72] + 38*s[73] + (69*s[74])/2 - (57*s[75])/2 + 92*s[76] - 
       40*s[77] - 112*s[78] - 20*s[79] - 69*s[80] + 3474*s[82] - 15*s[83] - 
       18*s[84] + 732*s[85]) + HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - w]*
      (393*s[2] + 331*s[3] - (21961*s[4])/2 - (109096*s[5])/11 - 
       (415871*s[6])/22 - (23738485*s[7])/132 + (2515231*s[8])/198 + 
       (1411612*s[9])/9 + (387119*s[10])/9 + (26014939*s[11])/132 + 
       (7047455*s[12])/33 + (5759687*s[13])/44 + (2755447*s[14])/132 + 
       (992861*s[15])/4 + (3275593*s[16])/11 + (30358541*s[17])/132 + 
       (899882*s[18])/27 + (1293179*s[19])/54 + (212410271*s[20])/594 + 
       (164920297*s[21])/1188 - (113396765*s[22])/1188 - (2447651*s[23])/11 - 
       (57661976*s[24])/297 + (1327815329*s[25])/5346 - 
       (772719593*s[26])/5346 - 192*s[29] - 16*s[30] + 120*s[31] - 36*s[32] + 
       71*s[33] + 216*s[34] - 12*s[35] - 44*s[36] - 660*s[37] - 8502*s[38] + 
       24346*s[39] - 26414*s[40] + 20454*s[41] - 34284*s[42] - 
       (230238*s[43])/11 + (406579*s[44])/22 - (210429*s[45])/11 + 
       (1663781*s[46])/11 - (227093*s[47])/22 + (79367*s[48])/22 + 
       (1687779*s[49])/22 - (1191316*s[50])/11 - (1664287*s[51])/66 - 
       (512839*s[52])/22 + (824504*s[53])/11 - (227256*s[54])/11 + 
       (10769725*s[55])/22 + (3128221*s[56])/22 - (2598441*s[57])/11 + 
       (17907959*s[58])/66 - (18117653*s[59])/66 - (51906565*s[60])/44 + 
       (4107737*s[61])/66 - 16*s[64] - 96*s[65] - 112*s[66] + 192*s[67] + 
       112*s[68] + 352*s[69] + 72*s[70] + 240*s[71] - 8*s[72] - 104*s[73] - 
       30*s[74] - 10*s[75] + 56*s[76] - 300*s[77] + 200*s[78] - 2304*s[79] - 
       444*s[80] + 17736*s[82] + 168*s[83] - 816*s[84] + 768*s[85]) + 
     HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - u]*(-197*s[2] - (551*s[3])/2 + 
       (14649*s[4])/2 + (58441*s[5])/44 + (408361*s[6])/44 + 
       (24382111*s[7])/264 - (9902701*s[8])/1188 - (2107520*s[9])/27 - 
       (2430751*s[10])/108 - (85487437*s[11])/792 - (50137969*s[12])/396 - 
       (63571597*s[13])/792 - (745825*s[14])/792 - (7745651*s[15])/72 - 
       (59492891*s[16])/396 - (74839903*s[17])/792 - (2228501*s[18])/162 - 
       (5259905*s[19])/324 - (622855733*s[20])/3564 - 
       (410717581*s[21])/7128 + (358207187*s[22])/7128 + 
       (43650151*s[23])/396 + (376387951*s[24])/3564 - 
       (1139824472*s[25])/8019 + (1136593585*s[26])/16038 + 4*s[27] + 
       12*s[28] + 16*s[29] + 15*s[30] - 58*s[31] - 83*s[32] - (725*s[33])/4 + 
       155*s[34] - 34*s[35] - 86*s[36] - (169*s[37])/3 + 5238*s[38] - 
       15810*s[39] + 19068*s[40] - 14747*s[41] + 21806*s[42] + 
       (170582*s[43])/11 - (719839*s[44])/44 + (904903*s[45])/66 - 
       (7542973*s[46])/66 + (141551*s[47])/44 + (362959*s[48])/44 - 
       (3113669*s[49])/44 + (975644*s[50])/11 + (2109781*s[51])/132 + 
       (574309*s[52])/44 - (5217139*s[53])/99 - (255158*s[54])/33 - 
       (15396927*s[55])/44 - (36566147*s[56])/396 + (88188223*s[57])/594 - 
       (683849743*s[58])/3564 + (667347937*s[59])/3564 + 
       (785888047*s[60])/792 - (1396330051*s[61])/32076 - 48*s[63] + 
       4*s[64] + 36*s[65] + 64*s[66] - 72*s[67] + 122*s[68] - 226*s[69] + 
       680*s[70] - 60*s[71] - 60*s[72] + 12*s[73] + 17*s[74] + 7*s[75] + 
       188*s[76] - 582*s[77] - 204*s[78] + 3008*s[79] - (2186*s[80])/3 + 
       3504*s[82] - 288*s[83] + 1080*s[84] + 768*s[85]) + 
     HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - v]*((527*s[2])/2 + (1137*s[3])/4 + 
       (55991*s[4])/8 + (50499*s[5])/44 + (834707*s[6])/88 + 
       (44426801*s[7])/528 - (18200029*s[8])/2376 - (1884382*s[9])/27 - 
       (542864*s[10])/27 - (155311105*s[11])/1584 - (11409338*s[12])/99 - 
       (116072035*s[13])/1584 + (1075475*s[14])/1584 - (13930853*s[15])/144 - 
       (54279793*s[16])/396 - (136388407*s[17])/1584 - (2119225*s[18])/162 - 
       (9006917*s[19])/648 - (1110397133*s[20])/7128 - 
       (718211503*s[21])/14256 + (643211255*s[22])/14256 + 
       (44111645*s[23])/396 + (84016937*s[24])/891 - (8406170117*s[25])/
        64152 + (4116499829*s[26])/64152 - 8*s[28] + 96*s[29] + 3*s[30] + 
       104*s[31] + 16*s[32] + 12*s[33] + 133*s[34] - 11*s[35] - 57*s[36] + 
       (431*s[37])/6 + 4363*s[38] - (28745*s[39])/2 + (34483*s[40])/2 - 
       13319*s[41] + (39783*s[42])/2 + (299775*s[43])/22 - 
       (1314451*s[44])/88 + (1449751*s[45])/132 - (12957979*s[46])/132 + 
       (883345*s[47])/264 + (1985941*s[48])/264 - (16529131*s[49])/264 + 
       (818293*s[50])/11 + (3712229*s[51])/264 + (3152783*s[52])/264 - 
       (8768065*s[53])/198 - (106210*s[54])/33 - (76403773*s[55])/264 - 
       (62684951*s[56])/792 + (163446733*s[57])/1188 - 
       (1181263603*s[58])/7128 + (1138513369*s[59])/7128 + 
       (1337771507*s[60])/1584 - (2377445617*s[61])/64152 + 72*s[62] + 
       98*s[68] - 42*s[69] + 356*s[70] - 12*s[71] - 106*s[72] - 118*s[73] - 
       (25*s[74])/2 - (71*s[75])/2 + 2*s[76] - 187*s[77] - 130*s[78] + 
       2728*s[79] - (2563*s[80])/3 - 2*s[81] + 3504*s[82] - 288*s[83] + 
       1080*s[84] + 768*s[85]) + HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - u]*
      (-186*s[2] - 233*s[3] + 7583*s[4] + (18428*s[5])/11 + 
       (108976*s[6])/11 + (38596757*s[7])/396 - (2576191*s[8])/297 - 
       (4448191*s[9])/54 - (643570*s[10])/27 - (44874329*s[11])/396 - 
       (13089535*s[12])/99 - (11030249*s[13])/132 - (767747*s[14])/396 - 
       (1376887*s[15])/12 - (5235100*s[16])/33 - (40245517*s[17])/396 - 
       (2397125*s[18])/162 - (2752519*s[19])/162 - (329697529*s[20])/1782 - 
       (219258185*s[21])/3564 + (188241205*s[22])/3564 + (3807625*s[23])/33 + 
       (99016135*s[24])/891 - (4775819003*s[25])/32076 + 
       (2399922431*s[26])/32076 + 4*s[27] + 12*s[28] + 16*s[29] + 14*s[30] - 
       60*s[31] - 70*s[32] - (349*s[33])/2 + 158*s[34] - 32*s[35] - 
       (232*s[36])/3 - (116*s[37])/3 + 5436*s[38] - 16458*s[39] + 
       (59134*s[40])/3 - 15260*s[41] + (67904*s[42])/3 + (532346*s[43])/33 - 
       (555539*s[44])/33 + (480484*s[45])/33 - (1319306*s[46])/11 + 
       (344323*s[47])/99 + (808501*s[48])/99 - (7240225*s[49])/99 + 
       (3061082*s[50])/33 + (1644119*s[51])/99 + (1355669*s[52])/99 - 
       (1844440*s[53])/33 - (74450*s[54])/11 - (12208033*s[55])/33 - 
       (9645203*s[56])/99 + (44423426*s[57])/297 - (177848749*s[58])/891 + 
       (174016837*s[59])/891 + (615921235*s[60])/594 - 
       (369723199*s[61])/8019 - 48*s[63] + 4*s[64] + 36*s[65] + 64*s[66] - 
       72*s[67] + 128*s[68] - 232*s[69] + 688*s[70] - 60*s[71] - 64*s[72] + 
       64*s[73] + 12*s[74] + 4*s[75] + 192*s[76] - 600*s[77] - 208*s[78] + 
       2960*s[79] - (2152*s[80])/3 + 2928*s[82] - 276*s[83] + 1080*s[84] + 
       768*s[85]) + HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - v]*
      (277*s[2] + (475*s[3])/2 + (30081*s[4])/4 + (42239*s[5])/22 + 
       (477969*s[6])/44 + (76392961*s[7])/792 - (3379345*s[8])/396 - 
       (724091*s[9])/9 - (210211*s[10])/9 - (29375057*s[11])/264 - 
       (4264042*s[12])/33 - (64623593*s[13])/792 - (483869*s[14])/264 - 
       (8189935*s[15])/72 - (31232243*s[16])/198 - (81597709*s[17])/792 - 
       (419618*s[18])/27 - (1662673*s[19])/108 - (215062417*s[20])/1188 - 
       (47592485*s[21])/792 + (122607143*s[22])/2376 + (24554863*s[23])/198 + 
       (31919530*s[24])/297 - (525084977*s[25])/3564 + 
       (262909289*s[26])/3564 - 8*s[28] + 96*s[29] + 2*s[30] + 120*s[31] + 
       12*s[32] - 8*s[33] + 102*s[34] - 18*s[35] - 140*s[36] + 
       (400*s[37])/3 + 4814*s[38] - (32251*s[39])/2 + (38203*s[40])/2 - 
       (29529*s[41])/2 + (44799*s[42])/2 + (333413*s[43])/22 - 
       (360433*s[44])/22 + (420295*s[45])/33 - (7361591*s[46])/66 + 
       (88903*s[47])/22 + (79393*s[48])/11 - (1519697*s[49])/22 + 
       (930284*s[50])/11 + (173967*s[51])/11 + (147794*s[52])/11 - 
       (5118860*s[53])/99 - (84760*s[54])/33 - (11078032*s[55])/33 - 
       (18038171*s[56])/198 + (88456769*s[57])/594 - (332188657*s[58])/1782 + 
       (161500697*s[59])/891 + (376665571*s[60])/396 - 
       (1377733031*s[61])/32076 + 72*s[62] + 104*s[68] - 48*s[69] + 
       364*s[70] - 12*s[71] - 92*s[72] - 116*s[73] - 21*s[74] - 27*s[75] - 
       12*s[76] - 214*s[77] - 116*s[78] + 2752*s[79] - (2464*s[80])/3 - 
       2*s[81] + 2928*s[82] - 276*s[83] + 1080*s[84] + 768*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[v, u, w]*(128*s[2] + (1448*s[3])/3 + 
       (30548*s[4])/3 + (243064*s[5])/33 + (624724*s[6])/33 + 
       (50129252*s[7])/297 - (12194752*s[8])/891 - (11529092*s[9])/81 - 
       (3645268*s[10])/81 - (54999512*s[11])/297 - (59988580*s[12])/297 - 
       (12002708*s[13])/99 - (6548360*s[14])/297 - (2022292*s[15])/9 - 
       (28233676*s[16])/99 - (65562892*s[17])/297 - (7561180*s[18])/243 - 
       (6084236*s[19])/243 - (898876772*s[20])/2673 - 
       (326351852*s[21])/2673 + (236861884*s[22])/2673 + 
       (19185268*s[23])/99 + (492766936*s[24])/2673 - 
       (5662857368*s[25])/24057 + (3121847912*s[26])/24057 + (64*s[30])/3 + 
       (128*s[31])/3 - (32*s[32])/3 + (40*s[33])/3 - 32*s[34] - 
       (64*s[35])/3 - 384*s[36] + (3104*s[37])/9 + (17312*s[38])/3 - 
       23360*s[39] + (78976*s[40])/3 - 20840*s[41] + (100760*s[42])/3 + 
       (236224*s[43])/11 - (736432*s[44])/33 + (2520416*s[45])/99 - 
       (19266032*s[46])/99 + (74576*s[47])/11 + (53456*s[48])/11 - 
       (1072004*s[49])/11 + (4969376*s[50])/33 + (2262556*s[51])/99 + 
       (605312*s[52])/33 - (31078984*s[53])/297 + (194248*s[54])/99 - 
       (65903864*s[55])/99 - (51655772*s[56])/297 + (136108880*s[57])/891 - 
       (794627836*s[58])/2673 + (808393948*s[59])/2673 + 
       (476562770*s[60])/297 - (2058532276*s[61])/24057 - (64*s[68])/3 + 
       (64*s[69])/3 - (64*s[71])/3 + (256*s[72])/3 - 96*s[74] + 96*s[75] - 
       128*s[76] - (128*s[77])/3 + (256*s[78])/3 + (6400*s[79])/3 - 
       (3776*s[80])/9 + 3136*s[82] + 1024*s[84] + 1024*s[85]) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[w, v, u]*(128*s[2] + (1240*s[3])/3 + 
       (30484*s[4])/3 + (244120*s[5])/33 + (616100*s[6])/33 + 
       (50045080*s[7])/297 - (12083168*s[8])/891 - (11526076*s[9])/81 - 
       (3643244*s[10])/81 - (54919696*s[11])/297 - (59911316*s[12])/297 - 
       (11971204*s[13])/99 - (6550252*s[14])/297 - (2020040*s[15])/9 - 
       (28210268*s[16])/99 - (65448404*s[17])/297 - (7527920*s[18])/243 - 
       (6101056*s[19])/243 - (898579552*s[20])/2673 - 
       (325728724*s[21])/2673 + (236814980*s[22])/2673 + 
       (19140080*s[23])/99 + (492587504*s[24])/2673 - 
       (5653097596*s[25])/24057 + (3112496020*s[26])/24057 + (64*s[30])/3 + 
       (128*s[31])/3 - (16*s[32])/3 + (64*s[33])/3 - (128*s[34])/3 - 
       (256*s[35])/9 - (3344*s[36])/9 + (3136*s[37])/9 + 5712*s[38] - 
       (209996*s[39])/9 + (236764*s[40])/9 - (187612*s[41])/9 + 
       (302732*s[42])/9 + (2096372*s[43])/99 - (2204396*s[44])/99 + 
       (816248*s[45])/33 - (18960196*s[46])/99 + (2055980*s[47])/297 + 
       (1367864*s[48])/297 - (28677152*s[49])/297 + (14668880*s[50])/99 + 
       (6816580*s[51])/297 + (5435176*s[52])/297 - (30509900*s[53])/297 + 
       (204472*s[54])/99 - (64588640*s[55])/99 - (50773304*s[56])/297 + 
       (139652852*s[57])/891 - (785842852*s[58])/2673 + 
       (798265516*s[59])/2673 + (1404763336*s[60])/891 - 
       (2019856000*s[61])/24057 - (64*s[68])/3 + (64*s[69])/3 - 16*s[71] + 
       (256*s[72])/3 - (896*s[74])/9 + (896*s[75])/9 - (1024*s[76])/9 - 
       (448*s[77])/9 + (256*s[78])/3 + (6592*s[79])/3 - (4480*s[80])/9 + 
       (10880*s[82])/3 + 1024*s[84] + (3328*s[85])/3) + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Qep[u, w, v]*(128*s[2] + 528*s[3] + 
       10240*s[4] + (23000*s[5])/3 + 19296*s[6] + (1558816*s[7])/9 - 
       (370648*s[8])/27 - (3952576*s[9])/27 - (1257848*s[10])/27 - 
       (1708976*s[11])/9 - (1860484*s[12])/9 - (1115236*s[13])/9 - 
       (212936*s[14])/9 - (2080168*s[15])/9 - (2637640*s[16])/9 - 
       (682480*s[17])/3 - (2590364*s[18])/81 - (2089516*s[19])/81 - 
       (28078460*s[20])/81 - (10213340*s[21])/81 + (7373284*s[22])/81 + 
       (1764272*s[23])/9 + (15356956*s[24])/81 - (175560884*s[25])/729 + 
       (97136324*s[26])/729 + (64*s[30])/3 + (128*s[31])/3 - 16*s[32] + 
       (88*s[33])/3 - (160*s[34])/3 - (320*s[35])/9 - (3536*s[36])/9 + 
       256*s[37] + (17488*s[38])/3 - (211084*s[39])/9 + 26492*s[40] - 
       (189284*s[41])/9 + (100828*s[42])/3 + (725788*s[43])/33 - 
       (750160*s[44])/33 + (2631736*s[45])/99 - (19828484*s[46])/99 + 
       (1891232*s[47])/297 + (1767020*s[48])/297 - (29634248*s[49])/297 + 
       (1706208*s[50])/11 + (6789340*s[51])/297 + (5441692*s[52])/297 - 
       (32031892*s[53])/297 + (101936*s[54])/99 - (68139812*s[55])/99 - 
       (17785912*s[56])/99 + (14651788*s[57])/99 - (270734428*s[58])/891 + 
       (275577100*s[59])/891 + (1475939680*s[60])/891 - 
       (711958976*s[61])/8019 - (64*s[68])/3 + (64*s[69])/3 + (64*s[70])/3 - 
       (80*s[71])/3 + (256*s[72])/3 - (832*s[74])/9 + (832*s[75])/9 - 
       (896*s[76])/9 - (512*s[77])/9 + 64*s[78] + (6080*s[79])/3 - 
       (1088*s[80])/3 + (12352*s[82])/3 + 1024*s[84] + (3584*s[85])/3) + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1}, 1 - u]*(59*s[2] + 1118*s[3] + 
       (9853*s[4])/2 + (156599*s[5])/44 + (400113*s[6])/44 + 
       (2852798*s[7])/33 - (8125735*s[8])/1188 - (7683941*s[9])/108 - 
       (2953033*s[10])/108 - (37703747*s[11])/396 - (40565005*s[12])/396 - 
       (11807665*s[13])/198 - (2626429*s[14])/198 - (4334377*s[15])/36 - 
       (30389395*s[16])/198 - (24511471*s[17])/198 - (4720003*s[18])/324 - 
       (1463264*s[19])/81 - (159046376*s[20])/891 - (229101431*s[21])/3564 + 
       (79930463*s[22])/1782 + (16549259*s[23])/198 + 
       (182224745*s[24])/1782 - (7661549923*s[25])/64152 + 
       (4231461319*s[26])/64152 - 48*s[29] + 18*s[30] - 48*s[31] + 42*s[32] - 
       (209*s[33])/2 + 130*s[34] - 66*s[35] - 222*s[36] - (737*s[37])/6 + 
       2153*s[38] - (17043*s[39])/2 + (19279*s[40])/2 - 7873*s[41] + 
       11232*s[42] + (215877*s[43])/22 - (440233*s[44])/44 + 
       (1954055*s[45])/132 - (13157867*s[46])/132 + (7595*s[47])/44 + 
       (331765*s[48])/44 - (2175529*s[49])/44 + (882983*s[50])/11 + 
       (930121*s[51])/132 + (178521*s[52])/44 - (22078849*s[53])/396 - 
       (825949*s[54])/66 - (48160565*s[55])/132 - (34876541*s[56])/396 + 
       (5400074*s[57])/297 - (122062405*s[58])/891 + (509738839*s[59])/3564 + 
       (85347386*s[60])/99 - (3058834931*s[61])/64152 - 12*s[65] - 48*s[66] + 
       72*s[67] + 6*s[68] + 138*s[69] + 140*s[70] + 15*s[71] + 24*s[72] - 
       32*s[73] + 26*s[74] + 70*s[75] + 36*s[76] - 188*s[77] + 72*s[78] - 
       160*s[79] - (95*s[80])/3 + 10368*s[82] + 84*s[83] - 192*s[84] + 
       1536*s[85]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 1}, 1 - v]*
      (-38*s[2] + (3239*s[3])/2 + (13623*s[4])/4 + (35097*s[5])/22 + 
       (226247*s[6])/44 + (13558415*s[7])/264 - (191979*s[8])/44 - 
       (80687*s[9])/2 - 18249*s[10] - (4937819*s[11])/88 - 
       (660417*s[12])/11 - (8894803*s[13])/264 - (583423*s[14])/88 - 
       (599023*s[15])/8 - (6279505*s[16])/66 - (20877227*s[17])/264 - 
       (137677*s[18])/18 - (510247*s[19])/36 - (42243697*s[20])/396 - 
       (29302033*s[21])/792 + (2270485*s[22])/88 + (1582660*s[23])/33 + 
       (4287373*s[24])/66 - (63652643*s[25])/891 + (34409501*s[26])/891 - 
       48*s[29] + 12*s[30] - 124*s[31] + 80*s[32] - (277*s[33])/2 + 
       246*s[34] - 104*s[35] - 9*s[36] - 361*s[37] + 744*s[38] - 
       (11967*s[39])/4 + (14219*s[40])/4 - (13015*s[41])/4 + 
       (12411*s[42])/4 + (241233*s[43])/44 - (452389*s[44])/88 + 
       (229917*s[45])/22 - (2706937*s[46])/44 - (566549*s[47])/264 + 
       (2203405*s[48])/264 - (7781473*s[49])/264 + (1122443*s[50])/22 + 
       (250373*s[51])/264 - (83701*s[52])/264 - (4778513*s[53])/132 - 
       (127071*s[54])/11 - (64065389*s[55])/264 - (14619955*s[56])/264 - 
       (3347449*s[57])/99 - (172388585*s[58])/2376 + (187374107*s[59])/2376 + 
       (887757643*s[60])/1584 - (682720967*s[61])/21384 + 4*s[64] - 9*s[65] - 
       44*s[66] + 60*s[67] + 6*s[68] + 134*s[69] + 140*s[70] + 12*s[71] - 
       52*s[72] + 68*s[73] + 48*s[74] + 10*s[75] + 100*s[76] - 150*s[77] + 
       64*s[78] - 624*s[79] + 50*s[80] + 10368*s[82] + 84*s[83] - 192*s[84] + 
       1536*s[85]) + HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - v]*
      (58*s[2] - 19*s[3] - (9007*s[4])/2 - (7785*s[5])/11 - (74537*s[6])/11 - 
       (2378449*s[7])/132 + (716851*s[8])/99 + (253729*s[9])/18 - 
       (122360*s[10])/9 + (1489687*s[11])/66 + (4897369*s[12])/132 + 
       (3297097*s[13])/132 - (1078129*s[14])/132 + (6597*s[15])/4 + 
       (688277*s[16])/66 - (236010*s[17])/11 + (842033*s[18])/54 - 
       (614608*s[19])/27 + (13137217*s[20])/594 + (14074697*s[21])/1188 - 
       (11009611*s[22])/1188 - (17879093*s[23])/132 + (18603443*s[24])/1188 + 
       (364004051*s[25])/10692 - (216761459*s[26])/10692 - 168*s[28] + 
       108*s[30] - 32*s[31] - 320*s[32] + 2*s[33] + 204*s[34] - 84*s[35] + 
       232*s[36] - 1392*s[37] - 3260*s[38] + 13824*s[39] - 15824*s[40] + 
       11574*s[41] - 23606*s[42] - (81759*s[43])/11 + (92530*s[44])/11 - 
       (25207*s[45])/11 + (509433*s[46])/11 - (386129*s[47])/33 + 
       (430621*s[48])/33 + (485627*s[49])/33 - (212336*s[50])/11 - 
       (188674*s[51])/11 - (537586*s[52])/33 + (538787*s[53])/33 - 
       (415032*s[54])/11 + (3200855*s[55])/33 + (2213777*s[56])/33 - 
       (26018519*s[57])/99 + (42230371*s[58])/297 - (38851771*s[59])/297 - 
       (20772751*s[60])/99 + (54507325*s[61])/2673 + 192*s[63] + 8*s[64] - 
       72*s[65] - 112*s[66] + 192*s[67] - 528*s[68] + 400*s[69] - 
       1312*s[70] + 96*s[71] - 152*s[72] + 184*s[73] + 30*s[74] - 46*s[75] - 
       280*s[76] + 1716*s[77] + 56*s[78] - 2400*s[79] + 224*s[80] + 
       16008*s[82] + 168*s[83] - 816*s[84] + 1632*s[85]) + 
     HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - u]*(-608*s[2] - 194*s[3] - 11257*s[4] - 
       (37181*s[5])/11 - (345997*s[6])/22 - (3861257*s[7])/33 + 
       (7467707*s[8])/594 + (5146093*s[9])/54 + (403042*s[10])/27 + 
       (52862753*s[11])/396 + (63635623*s[12])/396 + (10249181*s[13])/99 - 
       (497077*s[14])/99 + (1145680*s[15])/9 + (34464775*s[16])/198 + 
       (40450613*s[17])/396 + (4266287*s[18])/162 + (626839*s[19])/162 + 
       (179758769*s[20])/891 + (62303552*s[21])/891 - 
       (108156011*s[22])/1782 - (85950127*s[23])/396 - 
       (368120743*s[24])/3564 + (5806082465*s[25])/32076 - 
       (2942112941*s[26])/32076 + 96*s[29] - 36*s[30] - 360*s[31] - 
       28*s[32] - 769*s[33] + 524*s[34] + 683*s[35] + 428*s[36] - 
       (2210*s[37])/3 - 6384*s[38] + 23955*s[39] - 26259*s[40] + 
       19291*s[41] - 36131*s[42] - (163916*s[43])/11 + (186568*s[44])/11 - 
       (344393*s[45])/33 + (3785660*s[46])/33 - (552271*s[47])/33 + 
       (329060*s[48])/33 + (1802134*s[49])/33 - (767700*s[50])/11 - 
       (853708*s[51])/33 - (864602*s[52])/33 + (4662409*s[53])/99 - 
       (1400848*s[54])/33 + (9523940*s[55])/33 + (11599847*s[56])/99 - 
       (95304551*s[57])/297 + (217679950*s[58])/891 - (198306073*s[59])/891 - 
       (152907587*s[60])/198 + (804908327*s[61])/16038 + 24*s[64] + 
       24*s[65] - 480*s[68] + 48*s[69] - 544*s[70] + 120*s[71] - 48*s[72] - 
       176*s[73] + 196*s[74] - 148*s[75] + 432*s[76] + 800*s[77] - 
       432*s[78] - 2912*s[79] + (1088*s[80])/3 + 4*s[81] + 16008*s[82] + 
       168*s[83] - 816*s[84] + 1632*s[85]) + 
     HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - w]*(1182*s[2] + 993*s[3] - 
       (64779*s[4])/2 - (325728*s[5])/11 - (1226301*s[6])/22 - 
       (23504093*s[7])/44 + (2478563*s[8])/66 + (1399250*s[9])/3 + 
       (383929*s[10])/3 + (25761215*s[11])/44 + (6978937*s[12])/11 + 
       (17099817*s[13])/44 + (2739467*s[14])/44 + (2949019*s[15])/4 + 
       (9728041*s[16])/11 + (30043265*s[17])/44 + (894760*s[18])/9 + 
       (1274347*s[19])/18 + (210561187*s[20])/198 + (163630997*s[21])/396 - 
       (112362817*s[22])/396 - (7273403*s[23])/11 - (57052672*s[24])/99 + 
       (1313877517*s[25])/1782 - (765442753*s[26])/1782 - 576*s[29] - 
       48*s[30] + 360*s[31] - 108*s[32] + 213*s[33] + 648*s[34] - 36*s[35] - 
       132*s[36] - 1962*s[37] - 25428*s[38] + 72492*s[39] - 78696*s[40] + 
       60810*s[41] - 102036*s[42] - (684324*s[43])/11 + (1209057*s[44])/22 - 
       (622161*s[45])/11 + (4922271*s[46])/11 - (680737*s[47])/22 + 
       (241503*s[48])/22 + (5015819*s[49])/22 - (3525484*s[50])/11 - 
       (1654617*s[51])/22 - (1529443*s[52])/22 + (2432948*s[53])/11 - 
       (664228*s[54])/11 + (31781509*s[55])/22 + (9220709*s[56])/22 - 
       (7781071*s[57])/11 + (53136971*s[58])/66 - (53728649*s[59])/66 - 
       (153580893*s[60])/44 + (108933553*s[61])/594 - 48*s[64] - 288*s[65] - 
       336*s[66] + 576*s[67] + 336*s[68] + 1056*s[69] + 216*s[70] + 
       720*s[71] - 24*s[72] - 312*s[73] - 90*s[74] - 30*s[75] + 168*s[76] - 
       900*s[77] + 600*s[78] - 6912*s[79] - 1332*s[80] + 53280*s[82] + 
       504*s[83] - 2448*s[84] + 2304*s[85]) + 
     HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - u]*(-501*s[2] - (263*s[3])/2 + 
       (56809*s[4])/2 + (444393*s[5])/44 + (1795965*s[6])/44 + 
       (103981415*s[7])/264 - (40249417*s[8])/1188 - (8984435*s[9])/27 - 
       (10750363*s[10])/108 - (356877517*s[11])/792 - (204415801*s[12])/396 - 
       (254441581*s[13])/792 - (17064745*s[14])/792 - (34659347*s[15])/72 - 
       (256883987*s[16])/396 - (349750543*s[17])/792 - (10327733*s[18])/162 - 
       (21596045*s[19])/324 - (2711567981*s[20])/3564 - 
       (1855226485*s[21])/7128 + (1506837899*s[22])/7128 + 
       (180675835*s[23])/396 + (1587304951*s[24])/3564 - 
       (9396212395*s[25])/16038 + (2426462120*s[26])/8019 + 4*s[27] + 
       36*s[28] + 16*s[29] + 39*s[30] - 202*s[31] - 171*s[32] - 
       (2045*s[33])/4 + 515*s[34] - 154*s[35] - 342*s[36] + (119*s[37])/3 + 
       19462*s[38] - 62252*s[39] + 73478*s[40] - 57205*s[41] + 86116*s[42] + 
       (660492*s[43])/11 - (2756407*s[44])/44 + (3903223*s[45])/66 - 
       (31171513*s[46])/66 + (1932149*s[47])/132 + (3504269*s[48])/132 - 
       (36110951*s[49])/132 + (4015456*s[50])/11 + (8237797*s[51])/132 + 
       (6741607*s[52])/132 - (22640455*s[53])/99 - (656294*s[54])/33 - 
       (198059933*s[55])/132 - (155667227*s[56])/396 + 
       (311197195*s[57])/594 - (2736132583*s[58])/3564 + 
       (2699234545*s[59])/3564 + (1065379357*s[60])/264 - 
       (6072490999*s[61])/32076 - 144*s[63] + 4*s[64] + 108*s[65] + 
       208*s[66] - 216*s[67] + 402*s[68] - 698*s[69] + 2088*s[70] - 
       180*s[71] - 204*s[72] + 284*s[73] - 11*s[74] + 67*s[75] + 572*s[76] - 
       1822*s[77] - 636*s[78] + 9536*s[79] - (7178*s[80])/3 + 12240*s[82] - 
       792*s[83] + 3624*s[84] + 3072*s[85]) + 
     HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - v]*((1759*s[2])/2 + (3857*s[3])/4 + 
       (226087*s[4])/8 + (466347*s[5])/44 + (3820691*s[6])/88 + 
       (69092635*s[7])/176 - (80185709*s[8])/2376 - (8873468*s[9])/27 - 
       (2668006*s[10])/27 - (707035457*s[11])/1584 - (50429890*s[12])/99 - 
       (501903587*s[13])/1584 - (32887277*s[14])/1584 - 
       (69266917*s[15])/144 - (256953041*s[16])/396 - 
       (708764759*s[17])/1584 - (10616213*s[18])/162 - (40468885*s[19])/648 - 
       (5359443805*s[20])/7128 - (3652082447*s[21])/14256 + 
       (2979438391*s[22])/14256 + (191335897*s[23])/396 + 
       (389203723*s[24])/891 - (37464015541*s[25])/64152 + 
       (19257713077*s[26])/64152 - 8*s[28] + 288*s[29] + 3*s[30] + 
       408*s[31] + 32*s[32] - 4*s[33] + 245*s[34] - 139*s[35] - 637*s[36] + 
       (3811*s[37])/6 + 17723*s[38] - (123271*s[39])/2 + (144329*s[40])/2 - 
       56022*s[41] + (172069*s[42])/2 + (115347*s[43])/2 - (494685*s[44])/8 + 
       (642601*s[45])/12 - (5381641*s[46])/12 + (385711*s[47])/24 + 
       (576403*s[48])/24 - (6328309*s[49])/24 + 342515*s[50] + 
       (1450147*s[51])/24 + (1210337*s[52])/24 - (3909847*s[53])/18 - 
       (23254*s[54])/3 - (11228969*s[55])/8 - (26994857*s[56])/72 + 
       (56508319*s[57])/108 - (472890253*s[58])/648 + (465656575*s[59])/648 + 
       (546812285*s[60])/144 - (1048758715*s[61])/5832 + 216*s[62] + 
       330*s[68] - 130*s[69] + 1116*s[70] - 36*s[71] - 234*s[72] - 
       374*s[73] - (209*s[74])/2 - (47*s[75])/2 - 110*s[76] - 691*s[77] - 
       306*s[78] + 9224*s[79] - (8183*s[80])/3 - 6*s[81] + 12240*s[82] - 
       792*s[83] + 3624*s[84] + 3072*s[85]) + 
     HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - v]*(174*s[2] - 57*s[3] - (27087*s[4])/2 - 
       (19398*s[5])/11 - (417949*s[6])/22 - (2295679*s[7])/44 + 
       (1428035*s[8])/66 + (122777*s[9])/3 - (121853*s[10])/3 + 
       (2902201*s[11])/44 + (1202968*s[12])/11 + (3258659*s[13])/44 - 
       (1197227*s[14])/44 + (12117*s[15])/4 + (312164*s[16])/11 - 
       (2928229*s[17])/44 + (401329*s[18])/9 - (1185395*s[19])/18 + 
       (11979997*s[20])/198 + (12490283*s[21])/396 - (10666423*s[22])/396 - 
       (4390685*s[23])/11 + (4599476*s[24])/99 + (89966258*s[25])/891 - 
       (51857018*s[26])/891 - 504*s[28] + 324*s[30] - 96*s[31] - 864*s[32] + 
       6*s[33] + 612*s[34] - 252*s[35] + 696*s[36] - 4176*s[37] - 
       9852*s[38] + 41295*s[39] - 47295*s[40] + 34425*s[41] - 70383*s[42] - 
       (244833*s[43])/11 + (277467*s[44])/11 - (75462*s[45])/11 + 
       (1510821*s[46])/11 - (384991*s[47])/11 + (430450*s[48])/11 + 
       (498537*s[49])/11 - (643336*s[50])/11 - (564374*s[51])/11 - 
       (533514*s[52])/11 + (534844*s[53])/11 - (1205740*s[54])/11 + 
       (3170388*s[55])/11 + (2150283*s[56])/11 - (25697249*s[57])/33 + 
       (41668189*s[58])/99 - (38407390*s[59])/99 - (41569793*s[60])/66 + 
       (105786479*s[61])/1782 + 576*s[63] + 24*s[64] - 216*s[65] - 
       336*s[66] + 576*s[67] - 1584*s[68] + 1200*s[69] - 3936*s[70] + 
       288*s[71] - 456*s[72] + 552*s[73] + 90*s[74] - 138*s[75] - 840*s[76] + 
       5148*s[77] + 168*s[78] - 7200*s[79] + 672*s[80] + 48096*s[82] + 
       504*s[83] - 2448*s[84] + 4896*s[85]) + 
     HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - u]*(-1824*s[2] - 582*s[3] - 33804*s[4] - 
       (114813*s[5])/11 - (520617*s[6])/11 - (7794209*s[7])/22 + 
       (3736925*s[8])/99 + (2600464*s[9])/9 + (416219*s[10])/9 + 
       (26651249*s[11])/66 + (16002446*s[12])/33 + (20601503*s[13])/66 - 
       (929965*s[14])/66 + (2328757*s[15])/6 + (17452747*s[16])/33 + 
       (20669291*s[17])/66 + (2137172*s[18])/27 + (348517*s[19])/27 + 
       (182049511*s[20])/297 + (126480575*s[21])/594 - 
       (109208245*s[22])/594 - (21470300*s[23])/33 - (93453080*s[24])/297 + 
       (1461781627*s[25])/2673 - (742499449*s[26])/2673 + 288*s[29] - 
       108*s[30] - 1080*s[31] - 84*s[32] - 2307*s[33] + 1572*s[34] + 
       2040*s[35] + 1104*s[36] - 2208*s[37] - 19344*s[38] + 72258*s[39] - 
       79202*s[40] + 58170*s[41] - 108790*s[42] - 45410*s[43] + 51452*s[44] - 
       31896*s[45] + 347630*s[46] - (150250*s[47])/3 + (89372*s[48])/3 + 
       (502894*s[49])/3 - 212864*s[50] - (232760*s[51])/3 - 
       (235586*s[52])/3 + (431704*s[53])/3 - 123708*s[54] + 882516*s[55] + 
       (1053922*s[56])/3 - (8620888*s[57])/9 + (19849514*s[58])/27 - 
       (18161564*s[59])/27 - (21182573*s[60])/9 + (36634937*s[61])/243 + 
       72*s[64] + 72*s[65] - 1440*s[68] + 144*s[69] - 1632*s[70] + 
       360*s[71] - 144*s[72] - 528*s[73] + 588*s[74] - 444*s[75] + 
       1296*s[76] + 2400*s[77] - 1296*s[78] - 8736*s[79] + 1056*s[80] + 
       12*s[81] + 48096*s[82] + 504*s[83] - 2448*s[84] + 4896*s[85]) + 
     HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - u]*(-912*s[2] + 432*s[3] + 62664*s[4] + 
       (284283*s[5])/11 + (1030055*s[6])/11 + (9841409*s[7])/11 - 
       (2505133*s[8])/33 - (2267249*s[9])/3 - (684829*s[10])/3 - 
       (11187305*s[11])/11 - (12726169*s[12])/11 - (7874112*s[13])/11 - 
       (666810*s[14])/11 - 1107826*s[15] - (16264887*s[16])/11 - 
       (11309410*s[17])/11 - (1337005*s[18])/9 - (1341884*s[19])/9 - 
       (172114730*s[20])/99 - (59487149*s[21])/99 + (47347288*s[22])/99 + 
       (11317189*s[23])/11 + (99735181*s[24])/99 - (2347366669*s[25])/1782 + 
       (1225257181*s[26])/1782 + 72*s[28] + 72*s[30] - 432*s[31] - 
       264*s[32] - 990*s[33] + 1080*s[34] - 360*s[35] - 768*s[36] + 
       288*s[37] + 42192*s[38] - 137982*s[39] + 161886*s[40] - 126222*s[41] + 
       191202*s[42] + (1453890*s[43])/11 - (1513170*s[44])/11 + 
       (1484376*s[45])/11 - (11691774*s[46])/11 + (374234*s[47])/11 + 
       (598040*s[48])/11 - (6620326*s[49])/11 + (9024572*s[50])/11 + 
       (1518804*s[51])/11 + (1244704*s[52])/11 - (5742168*s[53])/11 - 
       (395284*s[54])/11 - (37547132*s[55])/11 - (9830226*s[56])/11 + 
       (37024414*s[57])/33 - (169481414*s[58])/99 + (167674808*s[59])/99 + 
       (298105069*s[60])/33 - (385859009*s[61])/891 - 288*s[63] + 216*s[65] + 
       432*s[66] - 432*s[67] + 840*s[68] - 1416*s[69] + 4224*s[70] - 
       360*s[71] - 432*s[72] + 816*s[73] - 84*s[74] + 180*s[75] + 
       1152*s[76] - 3720*s[77] - 1296*s[78] + 19584*s[79] - 4992*s[80] + 
       26208*s[82] - 1512*s[83] + 7632*s[84] + 6912*s[85]) + 
     HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - v]*(1848*s[2] + 2040*s[3] + 63210*s[4] + 
       (307134*s[5])/11 + (1110240*s[6])/11 + (10072506*s[7])/11 - 
       (852914*s[8])/11 - 768430*s[9] - 233462*s[10] - (11377980*s[11])/11 - 
       (12880776*s[12])/11 - (7961304*s[13])/11 - (696528*s[14])/11 - 
       1139344*s[15] - (16707996*s[16])/11 - (11782710*s[17])/11 - 
       (468350*s[18])/3 - (430666*s[19])/3 - (58384594*s[20])/33 - 
       (20151916*s[21])/33 + (16055876*s[22])/33 + (12168276*s[23])/11 + 
       (33525892*s[24])/33 - (399539179*s[25])/297 + (208133731*s[26])/297 + 
       576*s[29] + 912*s[31] + 48*s[32] - 48*s[33] + 336*s[34] - 384*s[35] - 
       1676*s[36] + 1658*s[37] + 39648*s[38] - 140493*s[39] + 163409*s[40] - 
       127005*s[41] + 196717*s[42] + (1438075*s[43])/11 - 
       (3067505*s[44])/22 + (1389755*s[45])/11 - (11442450*s[46])/11 + 
       (2506231*s[47])/66 + (3237709*s[48])/66 - (39394405*s[49])/66 + 
       (8754572*s[50])/11 + (9107381*s[51])/66 + (7561403*s[52])/66 - 
       (5641530*s[53])/11 - (142192*s[54])/11 - (72702579*s[55])/22 - 
       (58004939*s[56])/66 + (114064162*s[57])/99 - (996044227*s[58])/594 + 
       (986044003*s[59])/594 + (3470802589*s[60])/396 - 
       (1133640914*s[61])/2673 + 432*s[62] + 696*s[68] - 264*s[69] + 
       2280*s[70] - 72*s[71] - 384*s[72] - 768*s[73] - 276*s[74] + 36*s[75] - 
       336*s[76] - 1512*s[77] - 528*s[78] + 19488*s[79] - 5684*s[80] - 
       12*s[81] + 26208*s[82] - 1512*s[83] + 7632*s[84] + 6912*s[85]) + 
     HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - w]*(1272*s[2] - 2214*s[3] + 51873*s[4] + 
       (290289*s[5])/11 + (978212*s[6])/11 + (53052805*s[7])/66 - 
       (5843146*s[8])/99 - (6144203*s[9])/9 - (1929067*s[10])/9 - 
       (59809831*s[11])/66 - (33381385*s[12])/33 - (13780533*s[13])/22 - 
       (6018865*s[14])/66 - (2042899*s[15])/2 - (14829497*s[16])/11 - 
       (64777175*s[17])/66 - (3410011*s[18])/27 - (3760427*s[19])/27 - 
       (471762125*s[20])/297 - (328716529*s[21])/594 + 
       (255970379*s[22])/594 + (8987873*s[23])/11 + (275578819*s[24])/297 - 
       (6222026335*s[25])/5346 + (3297874639*s[26])/5346 - 192*s[30] + 
       144*s[31] + 180*s[32] - 486*s[33] + 192*s[34] - 384*s[35] - 
       1724*s[36] + 242*s[37] + 31536*s[38] - 114405*s[39] + 134921*s[40] - 
       107217*s[41] + 161737*s[42] + (1193539*s[43])/11 - 
       (2576657*s[44])/22 + (1151075*s[45])/11 - (9588066*s[46])/11 + 
       (1806223*s[47])/66 + (3076261*s[48])/66 - (33059821*s[49])/66 + 
       (7446968*s[50])/11 + (7522805*s[51])/66 + (6114731*s[52])/66 - 
       (4756270*s[53])/11 - (279436*s[54])/11 - (61574691*s[55])/22 - 
       (48511811*s[56])/66 + (90347506*s[57])/99 - (824269579*s[58])/594 + 
       (818151955*s[59])/594 + (2935401277*s[60])/396 - 
       (942767204*s[61])/2673 + 504*s[62] - 1440*s[63] + 72*s[64] + 
       72*s[65] - 288*s[68] + 288*s[69] + 2688*s[70] - 144*s[71] - 
       384*s[72] - 768*s[73] - 276*s[74] + 36*s[75] - 624*s[76] - 
       3504*s[77] - 528*s[78] + 19200*s[79] - 4820*s[80] - 12*s[81] + 
       26208*s[82] - 1512*s[83] + 7632*s[84] + 6912*s[85] - 432*s[86]) + 
     HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - w]*((1267*s[2])/2 - (6203*s[3])/4 + 
       (173761*s[4])/8 + (109229*s[5])/11 + (3240863*s[6])/88 + 
       (175378337*s[7])/528 - (56260085*s[8])/2376 - (15261997*s[9])/54 - 
       (9579889*s[10])/108 - (596927669*s[11])/1584 - (167404087*s[12])/396 - 
       (417818339*s[13])/1584 - (59070089*s[14])/1584 - 
       (60020413*s[15])/144 - (110118103*s[16])/198 - 
       (631504403*s[17])/1584 - (8117483*s[18])/162 - (38279713*s[19])/648 - 
       (4673702185*s[20])/7128 - (3222194543*s[21])/14256 + 
       (2553371611*s[22])/14256 + (64671041*s[23])/198 + 
       (1383406111*s[24])/3564 - (31102432633*s[25])/64152 + 
       (16336115173*s[26])/64152 - 120*s[30] + 78*s[31] + 67*s[32] - 
       (993*s[33])/4 + 92*s[34] - 133*s[35] - 669*s[36] - (599*s[37])/6 + 
       13367*s[38] - 47655*s[39] + 56914*s[40] - (90847*s[41])/2 + 
       67302*s[42] + 45803*s[43] - (399487*s[44])/8 + (502483*s[45])/12 - 
       (4298149*s[46])/12 + (82735*s[47])/8 + (182047*s[48])/8 - 
       (1699589*s[49])/8 + 278905*s[50] + (380383*s[51])/8 + 
       (309117*s[52])/8 - (3136045*s[53])/18 - (43300*s[54])/3 - 
       (27190469*s[55])/24 - (21431195*s[56])/72 + (42533503*s[57])/108 - 
       (372216439*s[58])/648 + (367396777*s[59])/648 + 
       (442627543*s[60])/144 - (825306955*s[61])/5832 + 252*s[62] - 
       720*s[63] + 36*s[64] + 36*s[65] - 168*s[68] + 168*s[69] + 1304*s[70] - 
       72*s[71] - 234*s[72] - 390*s[73] - (209*s[74])/2 - (47*s[75])/2 - 
       254*s[76] - 1727*s[77] - 306*s[78] + 9104*s[79] - (6917*s[80])/3 - 
       6*s[81] + 12240*s[82] - 792*s[83] + 3624*s[84] + 3072*s[85] - 
       216*s[86]) + HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - w]*
      ((419*s[2])/2 - (3251*s[3])/4 + (34025*s[4])/8 + (10706*s[5])/11 + 
       (606719*s[6])/88 + (10733347*s[7])/176 - (8929189*s[8])/2376 - 
       (2826935*s[9])/54 - (1762085*s[10])/108 - (112828285*s[11])/1584 - 
       (32360195*s[12])/396 - (83455723*s[13])/1584 - (10350337*s[14])/1584 - 
       (10344821*s[15])/144 - (20042705*s[16])/198 - (106351195*s[17])/1584 - 
       (1220041*s[18])/162 - (7761329*s[19])/648 - (853350449*s[20])/7128 - 
       (558675943*s[21])/14256 + (481365635*s[22])/14256 + 
       (10109059*s[23])/198 + (267372515*s[24])/3564 - 
       (5925237437*s[25])/64152 + (2985528809*s[26])/64152 - 56*s[30] + 
       30*s[31] + 7*s[32] - (345*s[33])/4 + 28*s[34] - 5*s[35] - 73*s[36] - 
       (1147*s[37])/6 + 2711*s[38] - 9088*s[39] + 11487*s[40] - 
       (18633*s[41])/2 + 12819*s[42] + (100824*s[43])/11 - 
       (921737*s[44])/88 + (863173*s[45])/132 - (8457103*s[46])/132 + 
       (304123*s[47])/264 + (1868323*s[48])/264 - (11450281*s[49])/264 + 
       (554451*s[50])/11 + (808673*s[51])/88 + (1968833*s[52])/264 - 
       (5567803*s[53])/198 - (189340*s[54])/33 - (49456619*s[55])/264 - 
       (39458765*s[56])/792 + (104583253*s[57])/1188 - 
       (760962121*s[58])/7128 + (729235663*s[59])/7128 + 
       (905632841*s[60])/1584 - (1446324565*s[61])/64152 + 84*s[62] - 
       240*s[63] + 12*s[64] + 12*s[65] - 72*s[68] + 72*s[69] + 408*s[70] - 
       24*s[71] - 106*s[72] - 134*s[73] - (25*s[74])/2 - (71*s[75])/2 - 
       46*s[76] - 559*s[77] - 130*s[78] + 2704*s[79] - (2161*s[80])/3 - 
       2*s[81] + 3504*s[82] - 288*s[83] + 1080*s[84] + 768*s[85] - 
       72*s[86]) + HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - w]*
      (181*s[2] - (1407*s[3])/2 + (20301*s[4])/4 + (30433*s[5])/22 + 
       (348501*s[6])/44 + (56498063*s[7])/792 - (5739307*s[8])/1188 - 
       (3289963*s[9])/54 - (508516*s[10])/27 - (65315137*s[11])/792 - 
       (9310930*s[12])/99 - (47565995*s[13])/792 - (5266537*s[14])/792 - 
       (6194005*s[15])/72 - (23465555*s[16])/198 - (21245177*s[17])/264 - 
       (1526111*s[18])/162 - (4402589*s[19])/324 - (496074665*s[20])/3564 - 
       (328814251*s[21])/7128 + (278565803*s[22])/7128 + 
       (13026751*s[23])/198 + (76491079*s[24])/891 - (859361549*s[25])/8019 + 
       (436361828*s[26])/8019 - 48*s[30] + 28*s[31] + 12*s[32] - 
       (129*s[33])/2 + 24*s[34] - 14*s[35] - (428*s[36])/3 - 138*s[37] + 
       3110*s[38] - (21253*s[39])/2 + (78679*s[40])/6 - (21183*s[41])/2 + 
       (90119*s[42])/6 + (692753*s[43])/66 - (386833*s[44])/33 + 
       (88884*s[45])/11 - (5000483*s[46])/66 + (175970*s[47])/99 + 
       (1336561*s[48])/198 - (4847192*s[49])/99 + (1958710*s[50])/33 + 
       (2128337*s[51])/198 + (1736249*s[52])/198 - (3433268*s[53])/99 - 
       (168538*s[54])/33 - (15054425*s[55])/66 - (5969666*s[56])/99 + 
       (57997045*s[57])/594 - (111161119*s[58])/891 + 
       (215841491*s[59])/1782 + (197493877*s[60])/297 - 
       (888329419*s[61])/32076 + 84*s[62] - 240*s[63] + 12*s[64] + 12*s[65] - 
       64*s[68] + 64*s[69] + 400*s[70] - 24*s[71] - 92*s[72] - 132*s[73] - 
       21*s[74] - 27*s[75] - 60*s[76] - 546*s[77] - 116*s[78] + 2720*s[79] - 
       684*s[80] - 2*s[81] + 2928*s[82] - 276*s[83] + 1080*s[84] + 
       768*s[85] - 72*s[86]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      ((-343*s[2])/6 - 71*s[3] - (131083*s[4])/12 - (239773*s[5])/33 - 
       (643993*s[6])/33 - (210342959*s[7])/1188 + (51644059*s[8])/3564 + 
       (24223153*s[9])/162 + (15065587*s[10])/324 + (465323329*s[11])/2376 + 
       (513318791*s[12])/2376 + (25734587*s[13])/198 + (12961819*s[14])/594 + 
       (8342755*s[15])/36 + (39315703*s[16])/132 + (534618089*s[17])/2376 + 
       (30552295*s[18])/972 + (26338679*s[19])/972 + (940902200*s[20])/2673 + 
       (1342041971*s[21])/10692 - (999489685*s[22])/10692 - 
       (157970017*s[23])/792 - (4189769849*s[24])/21384 + 
       (48127873273*s[25])/192456 - (26117593027*s[26])/192456 + 16*s[29] - 
       8*s[30] - (17*s[31])/3 - (56*s[32])/3 + (437*s[33])/6 - 
       (125*s[34])/3 + (289*s[35])/3 + (2839*s[36])/9 - (4549*s[37])/12 - 
       (19532*s[38])/3 + (297395*s[39])/12 - (1014721*s[40])/36 + 
       (89063*s[41])/4 - (637063*s[42])/18 - (8979755*s[43])/396 + 
       (18863431*s[44])/792 - (6803287*s[45])/264 + (158686009*s[46])/792 - 
       (17446877*s[47])/2376 - (14334251*s[48])/2376 + 
       (244757669*s[49])/2376 - (61186199*s[50])/396 - 
       (59208577*s[51])/2376 - (47193301*s[52])/2376 + 
       (250238843*s[53])/2376 - (347423*s[54])/198 + (533094149*s[55])/792 + 
       (423531989*s[56])/2376 - (623532097*s[57])/3564 + 
       (3329238059*s[58])/10692 - (6699504445*s[59])/21384 - 
       (11848384165*s[60])/7128 + (33482198921*s[61])/384912 - 30*s[62] - 
       84*s[63] - (5*s[64])/2 - (65*s[65])/6 - (28*s[66])/3 + (20*s[67])/3 - 
       (268*s[68])/3 + (164*s[69])/3 - (529*s[70])/3 + (91*s[71])/3 - 
       (32*s[72])/3 + (136*s[73])/3 + (539*s[74])/6 - (235*s[75])/3 + 
       36*s[76] + (316*s[77])/3 + (38*s[78])/3 - 2736*s[79] + 
       (3937*s[80])/6 + s[81] - 3710*s[82] + 70*s[83] - 1302*s[84] - 
       1112*s[85] - 36*s[86]) + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 
       1 - w]*((-1675*s[2])/12 + (3025*s[3])/24 - (524159*s[4])/48 - 
       (467125*s[5])/66 - (10330253*s[6])/528 - (1695242269*s[7])/9504 + 
       (208679627*s[8])/14256 + (48890041*s[9])/324 + (30473203*s[10])/648 + 
       (1874784623*s[11])/9504 + (64624973*s[12])/297 + 
       (1246561837*s[13])/9504 + (208137359*s[14])/9504 + 
       (201619979*s[15])/864 + (356122037*s[16])/1188 + 
       (79545979*s[17])/352 + (15287479*s[18])/486 + (105135151*s[19])/3888 + 
       (15165794851*s[20])/42768 + (10813155041*s[21])/85536 - 
       (8074924021*s[22])/85536 - (475282853*s[23])/2376 - 
       (2108189297*s[24])/10692 + (96945238519*s[25])/384912 - 
       (52628354827*s[26])/384912 + 16*s[29] - 34*s[30] - (100*s[31])/3 + 
       (38*s[32])/3 - (323*s[33])/24 + (41*s[34])/3 + (589*s[35])/6 + 
       (6203*s[36])/18 - (3545*s[37])/9 - (19234*s[38])/3 + (74755*s[39])/3 - 
       (512111*s[40])/18 + (67499*s[41])/3 - (322064*s[42])/9 - 
       (2264909*s[43])/99 + (38193689*s[44])/1584 - (10094459*s[45])/396 + 
       (79514107*s[46])/396 - (34675279*s[47])/4752 - (27831079*s[48])/4752 + 
       (493446385*s[49])/4752 - (30720385*s[50])/198 - 
       (118627007*s[51])/4752 - (94273769*s[52])/4752 + 
       (250712149*s[53])/2376 - (598877*s[54])/396 + (1067881025*s[55])/
        1584 + (282530617*s[56])/1584 - (420312151*s[57])/2376 + 
       (494564915*s[58])/1584 - (1494859237*s[59])/4752 - 
       (47530315531*s[60])/28512 + (2779032695*s[61])/32076 - 30*s[62] - 
       118*s[63] - (5*s[64])/2 - (22*s[65])/3 - (28*s[66])/3 + (5*s[67])/3 - 
       (268*s[68])/3 + (200*s[69])/3 - (508*s[70])/3 + (161*s[71])/6 - 
       (115*s[72])/3 + 73*s[73] + (349*s[74])/4 - (303*s[75])/4 + 
       (236*s[76])/3 + (673*s[77])/6 - (37*s[78])/3 - (8972*s[79])/3 + 
       (6665*s[80])/9 + s[81] - 3710*s[82] + 70*s[83] - 1302*s[84] - 
       1112*s[85] - 36*s[86]) + HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - w]*
      ((91*s[2])/2 - 380*s[3] - (1339*s[4])/2 - (103375*s[5])/88 - 
       (139591*s[6])/88 - (11671525*s[7])/792 + (3589045*s[8])/2376 + 
       (2623895*s[9])/216 + (862309*s[10])/216 + (5933035*s[11])/396 + 
       (12061261*s[12])/792 + (6348307*s[13])/792 + (1826027*s[14])/792 + 
       (401441*s[15])/18 + (10084115*s[16])/396 + (6069785*s[17])/264 + 
       (2392621*s[18])/648 + (522565*s[19])/324 + (53329667*s[20])/1782 + 
       (21591389*s[21])/1782 - (51273679*s[22])/7128 - (4256741*s[23])/198 - 
       (49922951*s[24])/3564 + (2374459951*s[25])/128304 - 
       (1469352811*s[26])/128304 + s[28]/2 - s[29] - 24*s[30] + 12*s[31] - 
       (7*s[32])/2 - (33*s[33])/2 - s[34] + 21*s[35] + (128*s[36])/3 - 
       (1649*s[37])/12 - (657*s[38])/2 + (3597*s[39])/2 - (9817*s[40])/6 + 
       (4719*s[41])/4 - (30871*s[42])/12 - (88073*s[43])/66 + 
       (151081*s[44])/132 - (769441*s[45])/264 + (1564513*s[46])/88 - 
       (105587*s[47])/99 + (133960*s[48])/99 + (1141183*s[49])/198 - 
       (443989*s[50])/33 - (677953*s[51])/396 - (537349*s[52])/396 + 
       (988589*s[53])/88 - (87301*s[54])/44 + (9152567*s[55])/132 + 
       (7062901*s[56])/396 - (2253437*s[57])/594 + (177297973*s[58])/7128 - 
       (47967295*s[59])/1782 - (635761195*s[60])/4752 + 
       (1225301879*s[61])/128304 + (55*s[62])/2 - 80*s[63] + 4*s[64] + 
       4*s[65] - 22*s[68] + 24*s[69] + 104*s[70] - (17*s[71])/2 - 44*s[72] - 
       34*s[73] + (25*s[74])/2 - 28*s[75] + 2*s[76] - 152*s[77] - 50*s[78] + 
       448*s[79] - (605*s[80])/6 - (2*s[81])/3 + 144*s[82] - 93*s[83] + 
       174*s[84] - 24*s[86]) + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      ((-273*s[2])/8 - (75*s[3])/16 - (167563*s[4])/32 - (621719*s[5])/176 - 
       (3283827*s[6])/352 - (179059667*s[7])/2112 + (66764825*s[8])/9504 + 
       (30923651*s[9])/432 + (594379*s[10])/27 + (594275651*s[11])/6336 + 
       (10254088*s[12])/99 + (395084801*s[13])/6336 + (63780467*s[14])/6336 + 
       (63804499*s[15])/576 + (112767313*s[16])/792 + 
       (679879217*s[17])/6336 + (19604941*s[18])/1296 + 
       (33104827*s[19])/2592 + (4789350967*s[20])/28512 + 
       (3420573617*s[21])/57024 - (2552397889*s[22])/57024 - 
       (76978535*s[23])/792 - (1330379971*s[24])/14256 + 
       (3846127871*s[25])/32076 - (2084852117*s[26])/32076 - s[28]/4 + 
       (21*s[29])/2 - (9*s[30])/2 - (19*s[31])/2 - 2*s[32] + (577*s[33])/16 - 
       5*s[34] + (189*s[35])/4 + (2041*s[36])/12 - 223*s[37] - 3163*s[38] + 
       (97083*s[39])/8 - (328907*s[40])/24 + (86253*s[41])/8 - 
       (208649*s[42])/12 - (2881579*s[43])/264 + (12145963*s[44])/1056 - 
       (1079173*s[45])/88 + (6351229*s[46])/66 - (12012329*s[47])/3168 - 
       (7748333*s[48])/3168 + (157173299*s[49])/3168 - (9772067*s[50])/132 - 
       (38569945*s[51])/3168 - (30884407*s[52])/3168 + 
       (80154343*s[53])/1584 - (340061*s[54])/264 + (340384603*s[55])/1056 + 
       (270801425*s[56])/3168 - (416574943*s[57])/4752 + 
       (4290835603*s[58])/28512 - (4319532355*s[59])/28512 - 
       (15107249657*s[60])/19008 + (5340719027*s[61])/128304 - (41*s[62])/4 - 
       27*s[63] - s[64] - 3*s[65] - (9*s[67])/2 - 44*s[68] + 18*s[69] - 
       61*s[70] + (47*s[71])/4 - (25*s[72])/2 + (59*s[73])/2 + 
       (385*s[74])/8 - (343*s[75])/8 + 24*s[76] + (97*s[77])/4 - 
       (19*s[78])/2 - 1256*s[79] + (591*s[80])/2 + s[81]/3 - 1555*s[82] + 
       27*s[83] - 606*s[84] - 452*s[85] - 12*s[86]) + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      ((-601*s[2])/8 + (1309*s[3])/16 - (168259*s[4])/32 - 
       (612193*s[5])/176 - (3321359*s[6])/352 - (181437163*s[7])/2112 + 
       (22536439*s[8])/3168 + (10462603*s[9])/144 + (1613257*s[10])/72 + 
       (200696713*s[11])/2112 + (27693679*s[12])/264 + (44548553*s[13])/704 + 
       (21650641*s[14])/2112 + (21549169*s[15])/192 + (3171087*s[16])/22 + 
       (229061483*s[17])/2112 + (6593501*s[18])/432 + (11060513*s[19])/864 + 
       (1618491389*s[20])/9504 + (1157004163*s[21])/19008 - 
       (863961515*s[22])/19008 - (4307447*s[23])/44 - 
       (448859003*s[24])/4752 + (5192763745*s[25])/42768 - 
       (2819063425*s[26])/42768 + s[28]/4 + (23*s[29])/2 - (29*s[30])/2 - 
       (47*s[31])/2 + 10*s[32] - (139*s[33])/16 + 24*s[34] + (207*s[35])/4 + 
       (2131*s[36])/12 - (2657*s[37])/12 - 3143*s[38] + (98059*s[39])/8 - 
       (333131*s[40])/24 + (87437*s[41])/8 - (211589*s[42])/12 - 
       (2925715*s[43])/264 + (12338119*s[44])/1056 - (1611491*s[45])/132 + 
       (25595897*s[46])/264 - (11967773*s[47])/3168 - (7627745*s[48])/3168 + 
       (159361247*s[49])/3168 - (4927753*s[50])/66 - (38714989*s[51])/3168 - 
       (30952939*s[52])/3168 + (80708201*s[53])/1584 - (298501*s[54])/264 + 
       (114237573*s[55])/352 + (90789503*s[56])/1056 - 
       (140622869*s[57])/1584 + (160127905*s[58])/1056 - 
       (484331783*s[59])/3168 - (15228873497*s[60])/19008 + 
       (890916913*s[61])/21384 - (39*s[62])/4 - 39*s[63] - s[64] - 
       (3*s[65])/2 - (13*s[67])/2 - 44*s[68] + 22*s[69] - 58*s[70] + 
       (43*s[71])/4 - (53*s[72])/2 + (83*s[73])/2 + (377*s[74])/8 - 
       (339*s[75])/8 + 46*s[76] + (113*s[77])/4 - (51*s[78])/2 - 1364*s[79] + 
       (983*s[80])/3 + s[81]/3 - 1555*s[82] + 27*s[83] - 606*s[84] - 
       452*s[85] - 12*s[86]) + HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
      ((9*s[2])/4 + (761*s[3])/8 + (6389*s[4])/16 + (12027*s[5])/44 + 
       (104623*s[6])/176 + (5336833*s[7])/1056 - (2701981*s[8])/4752 - 
       (220423*s[9])/54 - (205463*s[10])/216 - (18231373*s[11])/3168 - 
       (5228435*s[12])/792 - (13412347*s[13])/3168 + (1392503*s[14])/3168 - 
       (1816685*s[15])/288 - (3201305*s[16])/396 - (17529739*s[17])/3168 - 
       (315757*s[18])/324 - (927737*s[19])/1296 - (122767385*s[20])/14256 - 
       (93213799*s[21])/28512 + (73436387*s[22])/28512 + 
       (3558631*s[23])/396 + (35865425*s[24])/7128 - (996275297*s[25])/
        128304 + (519578381*s[26])/128304 + s[28] - 3*s[29] + 21*s[30] - 
       s[31] - (15*s[32])/2 - (73*s[33])/8 - 6*s[34] - (63*s[35])/2 - 
       (415*s[36])/6 + (721*s[37])/6 + 334*s[38] - (4711*s[39])/4 + 
       (13871*s[40])/12 - (2935*s[41])/4 + (9647*s[42])/6 + 
       (115003*s[43])/132 - (480025*s[44])/528 + (90599*s[45])/132 - 
       (69119*s[46])/11 + (789671*s[47])/1584 - (530461*s[48])/1584 - 
       (6250517*s[49])/1584 + (290981*s[50])/66 + (1410751*s[51])/1584 + 
       (1477717*s[52])/1584 - (840791*s[53])/264 + (23291*s[54])/44 - 
       (10147429*s[55])/528 - (7807975*s[56])/1584 + (26081549*s[57])/2376 - 
       (160099613*s[58])/14256 + (166510997*s[59])/14256 + 
       (455975879*s[60])/9504 - (150719749*s[61])/64152 - (11*s[62])/2 - 
       8*s[63] - s[64] - 4*s[65] - 6*s[66] + 10*s[67] + 7*s[68] - 32*s[70] + 
       (17*s[71])/2 + 11*s[72] - 23*s[73] - (11*s[74])/4 + (5*s[75])/4 + 
       5*s[76] + (107*s[77])/2 + 13*s[78] - 52*s[79] - (83*s[80])/3 + 
       s[81]/3 - 258*s[82] + 6*s[83] - 66*s[84] - 120*s[85] - 12*s[86]) + 
     HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*(s[2]/2 + 70*s[3] + 
       (2085*s[4])/4 + (4758*s[5])/11 + (38635*s[6])/44 + 
       (1945333*s[7])/264 - (405479*s[8])/594 - (328483*s[9])/54 - 
       (82835*s[10])/54 - (823028*s[11])/99 - (925006*s[12])/99 - 
       (579869*s[13])/99 - (15965*s[14])/396 - (683249*s[15])/72 - 
       (9591469*s[16])/792 - (871235*s[17])/99 - (114448*s[18])/81 - 
       (342563*s[19])/324 - (47963009*s[20])/3564 - (4607225*s[21])/891 + 
       (6739313*s[22])/1782 + (8833439*s[23])/792 + (54064913*s[24])/7128 - 
       (175410553*s[25])/16038 + (190906253*s[26])/32076 - s[28]/2 - 
       6*s[29] - 2*s[31] - 20*s[32] - 3*s[33] - 7*s[34] - 35*s[35] - 
       (169*s[36])/2 + (1105*s[37])/12 + 433*s[38] - (12155*s[39])/8 + 
       (12015*s[40])/8 - (8063*s[41])/8 + (16515*s[42])/8 + 
       (103837*s[43])/88 - (208557*s[44])/176 + (270575*s[45])/264 - 
       (1160497*s[46])/132 + (113089*s[47])/176 - (54001*s[48])/176 - 
       (943123*s[49])/176 + (68224*s[50])/11 + (627317*s[51])/528 + 
       (213529*s[52])/176 - (888091*s[53])/198 + (13028*s[54])/33 - 
       (4815491*s[55])/176 - (11017837*s[56])/1584 + (15879295*s[57])/1188 - 
       (216548369*s[58])/14256 + (223259705*s[59])/14256 + 
       (214675469*s[60])/3168 - (109134761*s[61])/32076 - 7*s[62] - 
       40*s[63] - s[64] - 3*s[65] - 6*s[66] + 6*s[67] + 9*s[68] + 12*s[69] - 
       45*s[70] + 6*s[71] + 10*s[72] - 6*s[74] + 6*s[75] - 4*s[76] + 
       53*s[77] + 64*s[78] - 92*s[79] + (157*s[80])/6 + s[81]/3 - 258*s[82] + 
       6*s[83] - 66*s[84] - 120*s[85] - 12*s[86]) + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((205*s[2])/18 - (347*s[3])/12 + (274*s[4])/9 + (54259*s[5])/396 + 
       (166369*s[6])/396 + (36114491*s[7])/14256 - (2157709*s[8])/42768 - 
       (8853833*s[9])/3888 - (3026041*s[10])/3888 - (76983703*s[11])/28512 - 
       (39847219*s[12])/14256 - (15913325*s[13])/9504 - 
       (35063767*s[14])/28512 - (1430557*s[15])/432 - (13317127*s[16])/3168 - 
       (98688737*s[17])/28512 - (448411*s[18])/729 - (1169039*s[19])/11664 - 
       (756892187*s[20])/128304 - (612809827*s[21])/256608 + 
       (350936903*s[22])/256608 + (10149193*s[23])/9504 + 
       (731579225*s[24])/256608 - (1747904023*s[25])/577368 + 
       (1220085541*s[26])/577368 - s[28]/6 + (8*s[29])/3 - (13*s[30])/6 - 
       s[31]/9 + (86*s[32])/9 - (227*s[33])/72 + (127*s[34])/18 + 
       (355*s[35])/18 + (1085*s[36])/108 - (785*s[37])/36 + (1307*s[38])/36 + 
       (1759*s[39])/144 + (31615*s[40])/432 - (5921*s[41])/48 - 
       (17815*s[42])/432 + (87703*s[43])/432 - (15167*s[44])/216 + 
       (11011*s[45])/36 - (657373*s[46])/432 - (90449*s[47])/648 + 
       (558305*s[48])/1296 - (263029*s[49])/648 + (120613*s[50])/108 + 
       (71077*s[51])/1296 + (108151*s[52])/1296 - (889463*s[53])/1296 + 
       (47059*s[54])/216 - (1191511*s[55])/216 - (153917*s[56])/81 - 
       (1686737*s[57])/1944 - (23358883*s[58])/11664 + 
       (10435601*s[59])/5832 + (28270679*s[60])/1944 - 
       (179524295*s[61])/209952 + (19*s[62])/6 - (40*s[63])/3 + s[64]/3 + 
       (22*s[65])/9 + (40*s[66])/9 - (92*s[67])/9 - (83*s[68])/9 - 
       (104*s[69])/9 + (226*s[70])/9 - (119*s[71])/18 - (109*s[72])/9 + 
       (253*s[73])/18 + (251*s[74])/36 - (245*s[75])/36 - (5*s[76])/3 - 
       (437*s[77])/18 - (397*s[78])/18 + (245*s[79])/3 + (67*s[80])/9 - 
       s[81]/6 - 92*s[82] - (101*s[83])/6 + 25*s[84] + (124*s[85])/3 - 
       6*s[86]) + HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - w]*
      ((-49*s[2])/3 + (473*s[3])/24 + (47231*s[4])/48 + (25801*s[5])/88 + 
       (12229*s[6])/11 + (17783107*s[7])/1584 - (4381537*s[8])/3564 - 
       (11981537*s[9])/1296 - (3189493*s[10])/1296 - (60021647*s[11])/4752 - 
       (137736659*s[12])/9504 - (83559799*s[13])/9504 + 
       (2499947*s[14])/9504 - (6154915*s[15])/432 - (176491987*s[16])/9504 - 
       (30706429*s[17])/2376 - (3426449*s[18])/1944 - (3649807*s[19])/1944 - 
       (886811165*s[20])/42768 - (578132617*s[21])/85536 + 
       (503045135*s[22])/85536 + (76148965*s[23])/4752 + 
       (514091125*s[24])/42768 - (13081798207*s[25])/769824 + 
       (6475653379*s[26])/769824 + s[28]/8 - (115*s[29])/12 - (13*s[30])/12 - 
       (89*s[31])/12 - s[32]/12 - (311*s[33])/48 + (3*s[34])/4 - 
       (7*s[35])/6 - (439*s[36])/9 + (623*s[37])/18 + (12305*s[38])/24 - 
       (32185*s[39])/16 + (322225*s[40])/144 - (3533*s[41])/2 + 
       (420053*s[42])/144 + (2727683*s[43])/1584 - (5888599*s[44])/3168 + 
       (2965597*s[45])/1584 - (3970339*s[46])/264 + (6797135*s[47])/9504 + 
       (1610657*s[48])/9504 - (75596291*s[49])/9504 + (18474581*s[50])/1584 + 
       (19269145*s[51])/9504 + (14999749*s[52])/9504 - 
       (12737557*s[53])/1584 - (30331*s[54])/528 - (53401787*s[55])/1056 - 
       (123699505*s[56])/9504 + (103679425*s[57])/7128 - 
       (2019728891*s[58])/85536 + (2061795503*s[59])/85536 + 
       (7019997503*s[60])/57024 - (4908199589*s[61])/769824 + (11*s[62])/8 - 
       3*s[63] + (3*s[64])/8 - s[65]/8 - (15*s[66])/2 + (53*s[67])/6 + 
       (4*s[68])/3 + (52*s[69])/3 + (58*s[70])/3 - (91*s[71])/24 + 
       (59*s[72])/6 - (35*s[73])/3 - (325*s[74])/24 + (337*s[75])/24 + 
       (5*s[76])/3 - (127*s[77])/4 + (145*s[78])/6 + 172*s[79] - 
       (883*s[80])/36 - s[81]/12 - 79*s[82] + 73*s[84] + 6*s[85] - 3*s[86]) + 
     HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w]*((-179*s[2])/36 + 
       (10837*s[3])/144 + (205555*s[4])/288 + (159037*s[5])/792 + 
       (2708491*s[6])/3168 + (468036077*s[7])/57024 - (78326557*s[8])/85536 - 
       (26124475*s[9])/3888 - (7402109*s[10])/3888 - (521064031*s[11])/
        57024 - (295901137*s[12])/28512 - (354361955*s[13])/57024 - 
       (1102525*s[14])/57024 - (55139551*s[15])/5184 - 
       (393427213*s[16])/28512 - (189251099*s[17])/19008 - 
       (8052061*s[18])/5832 - (30611741*s[19])/23328 - 
       (3957888395*s[20])/256608 - (2604163615*s[21])/513216 + 
       (2193723251*s[22])/513216 + (168343225*s[23])/14256 + 
       (554569837*s[24])/64152 - (28188291179*s[25])/2309472 + 
       (14172861089*s[26])/2309472 + s[28]/8 - (95*s[29])/12 + (46*s[30])/3 - 
       (155*s[31])/36 + (65*s[32])/72 + (541*s[33])/144 - (59*s[34])/36 + 
       (337*s[35])/36 - (1150*s[36])/27 + (1759*s[37])/54 + (4187*s[38])/18 - 
       (40111*s[39])/36 + (67199*s[40])/54 - (69403*s[41])/72 + 
       (735197*s[42])/432 + (936869*s[43])/1188 - (9200935*s[44])/9504 + 
       (488101*s[45])/594 - (4345139*s[46])/594 + (16492985*s[47])/28512 - 
       (8468743*s[48])/28512 - (106697237*s[49])/28512 + 
       (1668518*s[50])/297 + (34035343*s[51])/28512 + 
       (26236495*s[52])/28512 - (55219061*s[53])/14256 + (49298*s[54])/297 - 
       (226329043*s[55])/9504 - (61469921*s[56])/9504 + (9490544*s[57])/891 - 
       (355135367*s[58])/28512 + (356625817*s[59])/28512 + 
       (9799575287*s[60])/171072 - (2402760535*s[61])/769824 + (11*s[62])/8 - 
       10*s[63] + (3*s[64])/8 - (89*s[65])/36 - (151*s[66])/18 + 
       (100*s[67])/9 + (10*s[68])/9 + (190*s[69])/9 + (55*s[70])/9 + 
       (14*s[71])/9 + (215*s[72])/18 - (91*s[73])/6 - (239*s[74])/24 + 
       (251*s[75])/24 - (193*s[76])/18 - (737*s[77])/36 + (223*s[78])/9 + 
       (1115*s[79])/9 - (1609*s[80])/54 - s[81]/12 + 71*s[82] - (5*s[83])/6 + 
       38*s[84] + (58*s[85])/3 - 3*s[86]) + HPL[{0, 1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - w]*((87*s[2])/2 + 49*s[3] + (19737*s[4])/8 + 
       (480703*s[5])/264 + (151925*s[6])/33 + (12307910*s[7])/297 - 
       (2928874*s[8])/891 - (22721245*s[9])/648 - (3541753*s[10])/324 - 
       (108549973*s[11])/2376 - (118902737*s[12])/2376 - (665015*s[13])/22 - 
       (12765451*s[14])/2376 - (1971211*s[15])/36 - (27656729*s[16])/396 - 
       (126990887*s[17])/2376 - (14457797*s[18])/1944 - 
       (12169015*s[19])/1944 - (1764290053*s[20])/21384 - 
       (318954767*s[21])/10692 + (467381249*s[22])/21384 + 
       (1028675*s[23])/22 + (487808551*s[24])/10692 - 
       (11190566923*s[25])/192456 + (766517087*s[26])/24057 + (16*s[29])/3 - 
       s[30] + (97*s[31])/6 + (37*s[32])/12 + (185*s[33])/24 - (53*s[34])/3 - 
       (49*s[35])/6 - (2801*s[36])/36 + (1559*s[37])/12 + (17593*s[38])/12 - 
       (276227*s[39])/48 + (933413*s[40])/144 - (80847*s[41])/16 + 
       (1189435*s[42])/144 + (8158303*s[43])/1584 - (17277677*s[44])/3168 + 
       (190541*s[45])/33 - (71992033*s[46])/1584 + (17173627*s[47])/9504 + 
       (9597025*s[48])/9504 - (222434569*s[49])/9504 + (6907601*s[50])/198 + 
       (53791565*s[51])/9504 + (43541759*s[52])/9504 - 
       (113708627*s[53])/4752 + (437803*s[54])/792 - (161109713*s[55])/1056 - 
       (384261523*s[56])/9504 + (298903807*s[57])/7128 - 
       (6095058737*s[58])/85536 + (6150795575*s[59])/85536 + 
       (21331699135*s[60])/57024 - (15097633619*s[61])/769824 + (7*s[62])/2 - 
       10*s[63] + s[64]/2 + (7*s[65])/6 + (25*s[66])/6 - (17*s[67])/3 - 
       (14*s[68])/3 - (79*s[69])/6 + (137*s[70])/6 - (47*s[71])/12 + 
       (43*s[72])/3 - (17*s[73])/3 - 22*s[74] + (41*s[75])/2 - 
       (215*s[76])/6 - (80*s[77])/3 + (19*s[78])/3 + 594*s[79] - 
       (839*s[80])/6 - s[81]/12 + 708*s[82] - (25*s[83])/2 + 265*s[84] + 
       196*s[85] - 3*s[86]) + HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((397*s[2])/12 - (445*s[3])/12 + 
       (50069*s[4])/24 + (2346529*s[5])/1584 + (6181117*s[6])/1584 + 
       (126784861*s[7])/3564 - (122387315*s[8])/42768 - 
       (117232639*s[9])/3888 - (37178327*s[10])/3888 - 
       (557586019*s[11])/14256 - (305129485*s[12])/7128 - 
       (122140009*s[13])/4752 - (8815757*s[14])/1782 - (20314831*s[15])/432 - 
       (142557517*s[16])/2376 - (327930247*s[17])/7128 - 
       (18509285*s[18])/2916 - (62095921*s[19])/11664 - 
       (9146706805*s[20])/128304 - (1643595467*s[21])/64152 + 
       (2414692691*s[22])/128304 + (92736073*s[23])/2376 + 
       (5041311797*s[24])/128304 - (114642023621*s[25])/2309472 + 
       (62895727193*s[26])/2309472 - (13*s[29])/9 + s[30]/6 + (94*s[31])/9 - 
       (73*s[32])/36 + (577*s[33])/72 - (131*s[34])/18 + (199*s[35])/18 - 
       (5803*s[36])/108 + (5981*s[37])/72 + (10979*s[38])/9 - 
       (709249*s[39])/144 + (2431903*s[40])/432 - (71685*s[41])/16 + 
       (3091739*s[42])/432 + (21101093*s[43])/4752 - (22521731*s[44])/4752 + 
       (8063659*s[45])/1584 - (95179807*s[46])/2376 + 
       (21871423*s[47])/14256 + (3330289*s[48])/3564 - 
       (288175729*s[49])/14256 + (36895937*s[50])/1188 + 
       (35836849*s[51])/7128 + (28104061*s[52])/7128 - 
       (302628889*s[53])/14256 + (271913*s[54])/594 - (4472054*s[55])/33 - 
       (511768315*s[56])/14256 + (1490278147*s[57])/42768 - 
       (7981955291*s[58])/128304 + (4021015663*s[59])/64152 + 
       (14167787387*s[60])/42768 - (40227743101*s[61])/2309472 + 5*s[62] + 
       20*s[63] + s[64]/2 + (29*s[65])/18 + (22*s[66])/9 - (16*s[67])/9 + 
       (89*s[68])/9 - (148*s[69])/9 + (209*s[70])/9 - (199*s[71])/36 + 
       (113*s[72])/9 - (245*s[73])/18 - (83*s[74])/4 + (77*s[75])/4 - 
       (206*s[76])/9 - (395*s[77])/18 - (5*s[78])/18 + (1880*s[79])/3 - 
       (5501*s[80])/36 - s[81]/6 + 827*s[82] - (37*s[83])/3 + (824*s[84])/3 + 
       (722*s[85])/3 + 6*s[86]) + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((89*s[2])/6 + (1205*s[3])/24 + (41153*s[4])/16 + 
       (296603*s[5])/176 + (150038*s[6])/33 + (130028567*s[7])/3168 - 
       (24119743*s[8])/7128 - (44827195*s[9])/1296 - (13885655*s[10])/1296 - 
       (430842239*s[11])/9504 - (118653883*s[12])/2376 - 
       (285859361*s[13])/9504 - (46665761*s[14])/9504 - 
       (46539025*s[15])/864 - (327973849*s[16])/4752 - 
       (496576199*s[17])/9504 - (14266411*s[18])/1944 - 
       (12084773*s[19])/1944 - (1740111671*s[20])/21384 - 
       (2482780007*s[21])/85536 + (1849748341*s[22])/85536 + 
       (223583105*s[23])/4752 + (482979239*s[24])/10692 - 
       (44623416965*s[25])/769824 + (24183867425*s[26])/769824 - 2*s[29] - 
       (22*s[30])/3 + (23*s[31])/3 + (95*s[32])/12 - (137*s[33])/24 - 
       (7*s[34])/3 + (37*s[35])/6 - 69*s[36] + (5771*s[37])/72 + 
       (17905*s[38])/12 - (138221*s[39])/24 + (156461*s[40])/24 - 
       (62005*s[41])/12 + 8251*s[42] + (463725*s[43])/88 - 
       (5820517*s[44])/1056 + (9612019*s[45])/1584 - (74423479*s[46])/1584 + 
       (1807765*s[47])/1056 + (478171*s[48])/352 - (8405565*s[49])/352 + 
       (796289*s[50])/22 + (18311395*s[51])/3168 + (4863275*s[52])/1056 - 
       (118003619*s[53])/4752 + (207899*s[54])/396 - (502243367*s[55])/3168 - 
       (399278981*s[56])/9504 + (569811937*s[57])/14256 - 
       (6223208227*s[58])/85536 + (6272047015*s[59])/85536 + 
       (7382594053*s[60])/19008 - (1971012569*s[61])/96228 + 5*s[62] + 
       14*s[63] + s[64]/2 + (11*s[65])/6 + (4*s[66])/3 - (5*s[67])/3 + 
       13*s[68] - (34*s[69])/3 + (97*s[70])/3 - (31*s[71])/4 + (23*s[72])/3 - 
       (17*s[73])/3 - (93*s[74])/4 + (87*s[75])/4 - (53*s[76])/3 - 
       (155*s[77])/6 - (26*s[78])/3 + (1771*s[79])/3 - (4513*s[80])/36 - 
       s[81]/6 + 737*s[82] - (23*s[83])/2 + 323*s[84] + 254*s[85] + 
       6*s[86]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w]*
      (-106*s[2] - (89*s[3])/2 - (51215*s[4])/8 - (364657*s[5])/88 - 
       (495217*s[6])/44 - (20127733*s[7])/198 + (363549*s[8])/44 + 
       (257590*s[9])/3 + (209947*s[10])/8 + (7436629*s[11])/66 + 
       (5474039*s[12])/44 + (29933107*s[13])/396 + (3023659*s[14])/264 + 
       (4780421*s[15])/36 + (135163757*s[16])/792 + (25390141*s[17])/198 + 
       (966119*s[18])/54 + (1668293*s[19])/108 + (119122717*s[20])/594 + 
       (85111123*s[21])/1188 - (14187091*s[22])/264 - (46440455*s[23])/396 - 
       (22151389*s[24])/198 + (3087867887*s[25])/21384 - 
       (1668720743*s[26])/21384 - 7*s[29] - (17*s[30])/2 - 45*s[31] - 
       4*s[32] - (191*s[33])/8 + (103*s[34])/2 + 56*s[35] + (471*s[36])/2 - 
       (982*s[37])/3 - 3766*s[38] + (117533*s[39])/8 - (132689*s[40])/8 + 
       (103449*s[41])/8 - (168841*s[42])/8 - (1148819*s[43])/88 + 
       (2455685*s[44])/176 - (461974*s[45])/33 + (29798507*s[46])/264 - 
       (2431849*s[47])/528 - (1384759*s[48])/528 + (31411243*s[49])/528 - 
       (952383*s[50])/11 - (7630807*s[51])/528 - (6201143*s[52])/528 + 
       (46596487*s[53])/792 - (37967*s[54])/33 + (197849191*s[55])/528 + 
       (157563811*s[56])/1584 - (33154162*s[57])/297 + 
       (2548319021*s[58])/14256 - (2565589463*s[59])/14256 - 
       (982161503*s[60])/1056 + (6150670157*s[61])/128304 - 14*s[62] + 
       40*s[63] - 2*s[64] - 3*s[65] - 4*s[66] + 5*s[67] + 6*s[68] + 
       12*s[69] - 69*s[70] + (21*s[71])/2 - 32*s[72] + 32*s[73] + 
       (117*s[74])/2 - (101*s[75])/2 + 91*s[76] + 90*s[77] - 40*s[78] - 
       1636*s[79] + (1114*s[80])/3 + s[81]/3 - 1600*s[82] + 51*s[83] - 
       708*s[84] - 440*s[85] + 12*s[86]) + HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w]*(-52*s[2] + 4*s[3] - 2324*s[4] - 
       (15471*s[5])/11 - (46158*s[6])/11 - (7515001*s[7])/198 + 
       (568261*s[8])/198 + (288829*s[9])/9 + (93260*s[10])/9 + 
       (1862041*s[11])/44 + (3083755*s[12])/66 + (11262829*s[13])/396 + 
       (213589*s[14])/44 + (886279*s[15])/18 + (25397071*s[16])/396 + 
       (19084343*s[17])/396 + (113081*s[18])/18 + (58054*s[19])/9 + 
       (7489832*s[20])/99 + (31775027*s[21])/1188 - (23956421*s[22])/1188 - 
       (15542027*s[23])/396 - (51424151*s[24])/1188 + 
       (144248612*s[25])/2673 - (155244025*s[26])/5346 + 4*s[29] + 20*s[30] + 
       2*s[31] - 9*s[32] + 28*s[33] - 14*s[34] - 30*s[35] + (149*s[36])/3 + 
       9*s[37] - 1339*s[38] + (20611*s[39])/4 - (72005*s[40])/12 + 
       (19317*s[41])/4 - (88159*s[42])/12 - (57461*s[43])/12 + 
       (124861*s[44])/24 - 5282*s[45] + (501971*s[46])/12 - 
       (98855*s[47])/72 - (127337*s[48])/72 + (1615037*s[49])/72 - 
       (97931*s[50])/3 - (376357*s[51])/72 - (295939*s[52])/72 + 
       (774115*s[53])/36 + (5485*s[54])/6 + (3327367*s[55])/24 + 
       (2615807*s[56])/72 - (1010740*s[57])/27 + (42131209*s[58])/648 - 
       (42059083*s[59])/648 - (151904987*s[60])/432 + 
       (103994689*s[61])/5832 - 14*s[62] + 40*s[63] - 2*s[64] + 4*s[66] - 
       4*s[67] + 16*s[68] - 16*s[69] - 98*s[70] + 3*s[71] + 4*s[72] + 
       28*s[73] + 20*s[74] - 14*s[75] + 26*s[76] + 138*s[77] + 28*s[78] - 
       704*s[79] + 198*s[80] + s[81]/3 - 1608*s[82] + 36*s[83] - 312*s[84] - 
       384*s[85] + 12*s[86]) + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*((153*s[2])/4 + (53*s[3])/8 + (1049*s[4])/16 + 
       (17163*s[5])/44 + (143315*s[6])/176 + (5923849*s[7])/1056 - 
       (481621*s[8])/4752 - (537683*s[9])/108 - (416951*s[10])/216 - 
       (19053517*s[11])/3168 - (4809095*s[12])/792 - (11489131*s[13])/3168 - 
       (7498033*s[14])/3168 - (2180357*s[15])/288 - (3842273*s[16])/396 - 
       (26551819*s[17])/3168 - (115426*s[18])/81 - (600701*s[19])/1296 - 
       (180718409*s[20])/14256 - (150879295*s[21])/28512 + 
       (85750067*s[22])/28512 + (1448053*s[23])/396 + (43814195*s[24])/7128 - 
       (865539377*s[25])/128304 + (584162837*s[26])/128304 - s[28]/2 + 
       10*s[29] - 11*s[30] + 21*s[31] + s[32] + (153*s[33])/8 - 21*s[34] - 
       (19*s[35])/2 + (119*s[36])/6 - (299*s[37])/12 + (195*s[38])/2 - 
       (1769*s[39])/4 + (6677*s[40])/12 - 458*s[41] + (7645*s[42])/12 + 
       (54025*s[43])/132 - (246661*s[44])/528 + (134375*s[45])/264 - 
       (1061707*s[46])/264 + (128375*s[47])/1584 + (469067*s[48])/1584 - 
       (3063317*s[49])/1584 + (101026*s[50])/33 + (834931*s[51])/1584 + 
       (662257*s[52])/1584 - (753559*s[53])/396 + (13331*s[54])/66 - 
       (6571465*s[55])/528 - (686267*s[56])/176 + (3358957*s[57])/792 - 
       (30893333*s[58])/4752 + (28295543*s[59])/4752 + 
       (316163669*s[60])/9504 - (3030661*s[61])/1584 + 14*s[63] + 4*s[66] - 
       s[67] + 8*s[68] - 3*s[69] - 4*s[70] - s[72] + s[73] - (9*s[74])/4 + 
       (9*s[75])/4 - 6*s[76] + (29*s[77])/2 - 9*s[78] + 78*s[79] - 
       (227*s[80])/6 + 148*s[82] + (9*s[83])/2 + 51*s[84] + 80*s[85] + 
       12*s[86]) + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*((33*s[2])/2 - (325*s[3])/4 - (2425*s[4])/8 - 
       (3595*s[5])/44 - (14129*s[6])/88 - (974315*s[7])/528 + 
       (351289*s[8])/792 + (12037*s[9])/9 + (181*s[10])/18 + 
       (1112611*s[11])/528 + (172033*s[12])/66 + (825833*s[13])/528 - 
       (535709*s[14])/528 + (122609*s[15])/48 + (815497*s[16])/264 + 
       (349387*s[17])/176 + (11635*s[18])/54 + (83531*s[19])/216 + 
       (5822153*s[20])/2376 + (3188485*s[21])/4752 - (4073837*s[22])/4752 - 
       (1400447*s[23])/264 - (3824113*s[24])/2376 + (35583259*s[25])/10692 - 
       (3797245*s[26])/2673 + 11*s[29] - 13*s[30] + 4*s[31] + (3*s[32])/2 + 
       12*s[33] + 6*s[34] + 8*s[35] + (377*s[36])/6 - 35*s[37] - 
       (217*s[38])/2 + (4811*s[39])/8 - (13637*s[40])/24 + (3053*s[41])/8 - 
       (22555*s[42])/24 - (98551*s[43])/264 + (220937*s[44])/528 - 
       (12919*s[45])/44 + (757663*s[46])/264 - (667231*s[47])/1584 + 
       (883835*s[48])/1584 + (2739925*s[49])/1584 - (135103*s[50])/66 - 
       (773921*s[51])/1584 - (688331*s[52])/1584 + (1460285*s[53])/792 - 
       (20839*s[54])/132 + (5401679*s[55])/528 + (3496543*s[56])/1584 - 
       (2850701*s[57])/594 + (70531817*s[58])/14256 - 
       (82768739*s[59])/14256 - (188149183*s[60])/9504 + 
       (152035781*s[61])/128304 + s[62]/2 + 40*s[63] + 5*s[65] + 12*s[66] - 
       14*s[67] + 6*s[68] - 37*s[69] - 2*s[70] - (11*s[71])/2 - 16*s[72] + 
       10*s[73] + 6*s[74] - (13*s[75])/2 - 7*s[76] + 28*s[77] - 44*s[78] + 
       118*s[79] - 22*s[80] + 148*s[82] + (9*s[83])/2 + 51*s[84] + 80*s[85] + 
       12*s[86]) + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - w]*
      (-229*s[2] - (213*s[3])/2 - (56841*s[4])/4 - (613769*s[5])/66 - 
       (3323293*s[6])/132 - (540678179*s[7])/2376 + (32457331*s[8])/1782 + 
       (62358031*s[9])/324 + (19158443*s[10])/324 + (299700949*s[11])/1188 + 
       (330667487*s[12])/1188 + (33497803*s[13])/198 + 
       (31456015*s[14])/1188 + (7139125*s[15])/24 + (33632633*s[16])/88 + 
       (341627621*s[17])/1188 + (19392415*s[18])/486 + (16966175*s[19])/486 + 
       (1202792671*s[20])/2673 + (860390669*s[21])/5346 - 
       (643531489*s[22])/5346 - (204808805*s[23])/792 - 
       (5376973813*s[24])/21384 + (31070003257*s[25])/96228 - 
       (16828687621*s[26])/96228 - (56*s[29])/3 - 14*s[30] - (262*s[31])/3 - 
       (50*s[32])/3 - (211*s[33])/6 + (268*s[34])/3 + (346*s[35])/3 + 
       (4570*s[36])/9 - (2089*s[37])/3 - (25226*s[38])/3 + (97570*s[39])/3 - 
       (331660*s[40])/9 + (57481*s[41])/2 - (419471*s[42])/9 - 
       (262315*s[43])/9 + (2232959*s[44])/72 - (93458*s[45])/3 + 
       (2254111*s[46])/9 - (2168101*s[47])/216 - (1358653*s[48])/216 + 
       (28613587*s[49])/216 - (3459821*s[50])/18 - (6921353*s[51])/216 - 
       (5639759*s[52])/216 + (14056925*s[53])/108 - (19535*s[54])/9 + 
       (19932875*s[55])/24 + (47578789*s[56])/216 - (19973882*s[57])/81 + 
       (770633309*s[58])/1944 - (775294733*s[59])/1944 - 
       (2681225785*s[60])/1296 + (464602451*s[61])/4374 - 42*s[62] + 
       120*s[63] - 6*s[64] - (31*s[65])/3 - (52*s[66])/3 + (46*s[67])/3 + 
       (58*s[68])/3 + (106*s[69])/3 - (632*s[70])/3 + (79*s[71])/3 - 
       (164*s[72])/3 + (232*s[73])/3 + 118*s[74] - 98*s[75] + (554*s[76])/3 + 
       (790*s[77])/3 - (140*s[78])/3 - 3732*s[79] + (2606*s[80])/3 + s[81] - 
       3572*s[82] + 139*s[83] - 1574*s[84] - 1056*s[85] + 36*s[86]) + 
     HPL[{0, 1, 1, 1, 1}, 1 - w]*(-458*s[4] - (3744*s[5])/11 - 
       (6672*s[6])/11 - (202130*s[7])/33 + (63532*s[8])/99 + (45086*s[9])/9 + 
       (14764*s[10])/9 + (198212*s[11])/33 + (197071*s[12])/33 + 
       (33743*s[13])/11 + (30755*s[14])/33 + (29522*s[15])/3 + 
       (117179*s[16])/11 + (319966*s[17])/33 + (32074*s[18])/27 + 
       (24584*s[19])/27 + (3720710*s[20])/297 + (1380449*s[21])/297 - 
       (894895*s[22])/297 - (83144*s[23])/11 - (1904764*s[24])/297 + 
       (20265449*s[25])/2673 - (12062273*s[26])/2673 + 32*s[37] + 34*s[38] + 
       394*s[39] - 396*s[40] + 458*s[41] - 722*s[42] - (3896*s[43])/11 + 
       (2069*s[44])/11 - (12526*s[45])/11 + (73628*s[46])/11 - 
       (1625*s[47])/11 + (5767*s[48])/11 + (14247*s[49])/11 - 
       (58260*s[50])/11 - (13439*s[51])/33 - (4533*s[52])/11 + 
       (49046*s[53])/11 - (15740*s[54])/11 + (964261*s[55])/33 + 
       (83425*s[56])/11 + (43354*s[57])/11 + (89173*s[58])/11 - 
       (99827*s[59])/11 - (3443455*s[60])/66 + (1131901*s[61])/297)*
      \[Zeta][2] + HPL[{0, 1, 1, 1, 1}, 1 - v]*(8*s[2] - 80*s[3] - 320*s[4] - 
       (4706*s[5])/11 - (4584*s[6])/11 - (279733*s[7])/33 + (12658*s[8])/33 + 
       (21908*s[9])/3 + (10168*s[10])/3 + (96805*s[11])/11 + 
       (95435*s[12])/11 + (160316*s[13])/33 + (19120*s[14])/11 + 
       13533*s[15] + (494687*s[16])/33 + (457381*s[17])/33 + (2614*s[18])/3 + 
       2974*s[19] + (592472*s[20])/33 + (610558*s[21])/99 - 
       (439954*s[22])/99 - (64792*s[23])/33 - (1120012*s[24])/99 + 
       (9722635*s[25])/891 - (5305525*s[26])/891 - 80*s[32] + 80*s[37] - 
       402*s[38] + 774*s[39] - 662*s[40] + 818*s[41] - 834*s[42] - 
       (10944*s[43])/11 + (6473*s[44])/11 - (15660*s[45])/11 + 
       (102116*s[46])/11 + (2259*s[47])/11 - (4165*s[48])/11 + 
       (57243*s[49])/11 - (95588*s[50])/11 - (6969*s[51])/11 - 
       (2777*s[52])/11 + (198098*s[53])/33 + (18980*s[54])/11 + 
       (1285729*s[55])/33 + (182527*s[56])/33 + (1223522*s[57])/99 + 
       (2431703*s[58])/297 - (3190457*s[59])/297 - (5856431*s[60])/66 + 
       (9262067*s[61])/2673 - 32*s[69] + 96*s[73])*\[Zeta][2] + 
     HPL[{0, 1, 1, 1, 1}, 1 - u]*(-272*s[4] - (8028*s[5])/11 - 
       (2824*s[6])/11 - (342829*s[7])/33 + (32342*s[8])/99 + (83500*s[9])/9 + 
       (34580*s[10])/9 + (350299*s[11])/33 + (336575*s[12])/33 + 
       (59738*s[13])/11 + (86356*s[14])/33 + (53447*s[15])/3 + 
       (208133*s[16])/11 + (583067*s[17])/33 + (30806*s[18])/27 + 
       (82222*s[19])/27 + (7038766*s[20])/297 + (2521198*s[21])/297 - 
       (1658816*s[22])/297 - (55844*s[23])/11 - (4122380*s[24])/297 + 
       (34222273*s[25])/2673 - (20043313*s[26])/2673 - 104*s[33] + 32*s[34] - 
       48*s[35] + (704*s[36])/3 + (136*s[37])/3 - 464*s[38] + 1060*s[39] - 
       (3164*s[40])/3 + 932*s[41] - (3796*s[42])/3 - (50080*s[43])/33 + 
       (30430*s[44])/33 - (54548*s[45])/33 + (123588*s[46])/11 + 
       (18208*s[47])/99 - (56372*s[48])/99 + (690692*s[49])/99 - 
       (339916*s[50])/33 - (70696*s[51])/99 - (57718*s[52])/99 + 
       (246982*s[53])/33 + (22148*s[54])/11 + (1578208*s[55])/33 + 
       (685180*s[56])/99 + (3576824*s[57])/297 + (9635612*s[58])/891 - 
       (13109180*s[59])/891 - (32586292*s[60])/297 + (32290778*s[61])/8019 - 
       16*s[77] - 64*s[79] - (592*s[80])/3)*\[Zeta][2] + 
     M1[w, v, u]*((-38*s[2])/3 - (58*s[3])/3 - (352*s[4])/3 - (973*s[5])/66 - 
       (4247*s[6])/33 - (395062*s[7])/297 + (104080*s[8])/891 + 
       (170365*s[9])/162 + (33595*s[10])/81 + (1761293*s[11])/1188 + 
       (1920403*s[12])/1188 + (295381*s[13])/297 + (3107*s[14])/297 + 
       (100897*s[15])/54 + (1397945*s[16])/594 + (728855*s[17])/396 + 
       (48887*s[18])/486 + (103760*s[19])/243 + (13478491*s[20])/5346 + 
       (1980002*s[21])/2673 - (1811827*s[22])/2673 - (1339649*s[23])/1188 - 
       (18929215*s[24])/10692 + (48281423*s[25])/24057 - 
       (22703666*s[26])/24057 + 4*s[30] - (4*s[31])/3 + (5*s[32])/3 + 
       (4*s[34])/3 + 2*s[36] + (76*s[37])/9 - 23*s[38] + 127*s[39] - 
       (455*s[40])/3 + (799*s[41])/6 - (375*s[42])/2 - (1603*s[43])/11 + 
       (3319*s[44])/22 - (6041*s[45])/99 + (83351*s[46])/99 - 
       (239*s[47])/396 - (28487*s[48])/396 + (272417*s[49])/396 - 
       (8024*s[50])/11 - (15803*s[51])/132 - (14075*s[52])/198 + 
       (286727*s[53])/594 + (20983*s[54])/198 + (1121729*s[55])/396 + 
       (512009*s[56])/1188 - (367117*s[57])/1782 + (10992115*s[58])/10692 - 
       (12848527*s[59])/10692 - (5994169*s[60])/792 + (6002815*s[61])/24057 + 
       (10*s[68])/3 - 4*s[69] - (4*s[76])/3 + 4*s[77] - 2*s[78] - 
       (8*s[79])/3 + (2*s[80])/9)*\[Zeta][2] + HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u]*(2*s[1] - (40*s[2])/3 + (202*s[3])/3 + 
       (1247*s[4])/6 + (11455*s[5])/66 + (25141*s[6])/66 + 
       (4272859*s[7])/1188 - (510377*s[8])/1782 - (483811*s[9])/162 - 
       (81964*s[10])/81 - (1167374*s[11])/297 - (5028367*s[12])/1188 - 
       (2973133*s[13])/1188 - (550643*s[14])/1188 - (546839*s[15])/108 - 
       (1850578*s[16])/297 - (999293*s[17])/198 - (146455*s[18])/243 - 
       (354313*s[19])/486 - (19266275*s[20])/2673 - (27486329*s[21])/10692 + 
       (19697497*s[22])/10692 + (4517489*s[23])/1188 + 
       (44963041*s[24])/10692 - (242975245*s[25])/48114 + 
       (132651121*s[26])/48114 + (4*s[31])/3 + (10*s[32])/3 - 2*s[33] - 
       (4*s[34])/3 + (8*s[36])/3 + (587*s[37])/9 + 116*s[38] - 264*s[39] + 
       238*s[40] - (425*s[41])/3 + (902*s[42])/3 + (6230*s[43])/33 - 
       (5711*s[44])/33 + (36359*s[45])/99 - (202397*s[46])/99 + 
       (8381*s[47])/66 - (4291*s[48])/66 - (52753*s[49])/66 + 
       (47594*s[50])/33 + (39511*s[51])/198 + (2560*s[52])/11 - 
       (314293*s[53])/297 + (15493*s[54])/99 - (1425175*s[55])/198 - 
       (1230331*s[56])/594 + (1940183*s[57])/891 - (18753341*s[58])/5346 + 
       (18735683*s[59])/5346 + (19493291*s[60])/1188 - 
       (48480155*s[61])/48114 + (14*s[68])/3 - 10*s[69] + 4*s[73] - 
       (8*s[76])/3 + 6*s[77] - (16*s[79])/3 + (64*s[80])/9)*\[Zeta][2] + 
     M1[v, u, w]*((-4*s[2])/3 - (247*s[3])/6 - (1307*s[4])/12 - 
       (1117*s[5])/33 - (24709*s[6])/132 - (3265453*s[7])/2376 + 
       (443591*s[8])/3564 + (172775*s[9])/162 + (81475*s[10])/162 + 
       (3418193*s[11])/2376 + (859561*s[12])/594 + (1937407*s[13])/2376 + 
       (730133*s[14])/2376 + (460895*s[15])/216 + (3053945*s[16])/1188 + 
       (1851881*s[17])/792 + (42500*s[18])/243 + (383893*s[19])/972 + 
       (30604789*s[20])/10692 + (20645747*s[21])/21384 - 
       (14283679*s[22])/21384 - (1154587*s[23])/1188 - 
       (19089329*s[24])/10692 + (87808577*s[25])/48114 - 
       (24162289*s[26])/24057 + 4*s[29] + (22*s[31])/3 + (7*s[32])/3 + 
       8*s[33] - (46*s[34])/3 + (5*s[36])/3 + (155*s[37])/9 + 3*s[38] + 
       (377*s[39])/4 - (517*s[40])/4 + (1489*s[41])/12 - (1909*s[42])/12 - 
       (16957*s[43])/132 + (38759*s[44])/264 - (8290*s[45])/99 + 
       (365245*s[46])/396 + (6409*s[47])/264 - (25997*s[48])/264 + 
       (55279*s[49])/88 - (26788*s[50])/33 - (75827*s[51])/792 - 
       (9455*s[52])/264 + (691247*s[53])/1188 + (16829*s[54])/198 + 
       (2779475*s[55])/792 + (1519319*s[56])/2376 + (345491*s[57])/891 + 
       (21115537*s[58])/21384 - (25571671*s[59])/21384 - 
       (38759089*s[60])/4752 + (71485807*s[61])/192456 + (14*s[68])/3 - 
       8*s[69] - (26*s[76])/3 + 8*s[77] + 4*s[78] - (4*s[79])/3 + 
       (136*s[80])/9)*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
      ((-229*s[2])/6 + (701*s[3])/12 - (3335*s[4])/24 - (10832*s[5])/33 - 
       (182905*s[6])/264 - (23525113*s[7])/4752 + (2530127*s[8])/7128 + 
       (348974*s[9])/81 + (429079*s[10])/324 + (25210715*s[11])/4752 + 
       (6622771*s[12])/1188 + (15481093*s[13])/4752 + (6657599*s[14])/4752 + 
       (2872895*s[15])/432 + (10174987*s[16])/1188 + (11266279*s[17])/1584 + 
       (561317*s[18])/486 + (627043*s[19])/1944 + (225170467*s[20])/21384 + 
       (179448257*s[21])/42768 - (113000797*s[22])/42768 - 
       (6314861*s[23])/1188 - (13116754*s[24])/2673 + 
       (1210337845*s[25])/192456 - (749031757*s[26])/192456 + 4*s[30] - 
       (58*s[31])/3 + (26*s[32])/3 - (53*s[33])/4 + (112*s[34])/3 + 3*s[35] + 
       (88*s[36])/3 - (1489*s[37])/18 - 52*s[38] + (2105*s[39])/4 - 
       (2201*s[40])/4 + (4451*s[41])/12 - (11057*s[42])/12 - 
       (1135*s[43])/12 + (964*s[44])/3 - (1609*s[45])/36 + (32261*s[46])/18 - 
       (6845*s[47])/12 + (3833*s[48])/6 + (7327*s[49])/12 - (5957*s[50])/6 - 
       (5368*s[51])/9 - (2225*s[52])/4 + (77831*s[53])/108 - 
       (9985*s[54])/18 + (59795*s[55])/18 + (221647*s[56])/108 - 
       (3346153*s[57])/324 + (2559895*s[58])/486 - (1131677*s[59])/243 - 
       (205576*s[60])/27 + (7536185*s[61])/8748 + 3*s[65] + 6*s[66] - 
       18*s[67] + (28*s[68])/3 - 22*s[69] + 12*s[70] - 3*s[71] - 18*s[72] + 
       2*s[73] + (27*s[74])/2 - (27*s[75])/2 - (28*s[76])/3 - 11*s[77] - 
       36*s[78] - (80*s[79])/3 + (197*s[80])/9)*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*(-8*s[2] - (193*s[3])/2 + 
       (53*s[4])/4 + (2538*s[5])/11 + (3073*s[6])/44 + (198771*s[7])/88 - 
       (79951*s[8])/1188 - (60665*s[9])/27 - (10264*s[10])/27 - 
       (2098273*s[11])/792 - (1213477*s[12])/396 - (1545385*s[13])/792 - 
       (102571*s[14])/792 - (190745*s[15])/72 - (1332329*s[16])/396 - 
       (1536307*s[17])/792 - (38506*s[18])/81 - (34511*s[19])/324 - 
       (16227065*s[20])/3564 - (13283209*s[21])/7128 + (9635465*s[22])/7128 + 
       (294193*s[23])/99 + (2002585*s[24])/891 - (105729713*s[25])/32076 + 
       (60655931*s[26])/32076 + 16*s[31] + 6*s[32] + (37*s[33])/2 - 
       44*s[34] - 18*s[35] - (85*s[36])/3 + 107*s[37] + 278*s[38] - 
       (2491*s[39])/4 + (7117*s[40])/12 - (1539*s[41])/4 + (8837*s[42])/12 + 
       (76871*s[43])/132 - (125293*s[44])/264 + (13851*s[45])/22 - 
       (568823*s[46])/132 + (157625*s[47])/792 + (5495*s[48])/792 - 
       (1989995*s[49])/792 + (104639*s[50])/33 + (344335*s[51])/792 + 
       (402103*s[52])/792 - (860071*s[53])/396 - (4982*s[54])/33 - 
       (3754477*s[55])/264 - (2663945*s[56])/792 + (1265335*s[57])/297 - 
       (49821811*s[58])/7128 + (51951589*s[59])/7128 + 
       (176130089*s[60])/4752 - (97875673*s[61])/64152 + 12*s[68] - 
       20*s[69] - 20*s[76] + 12*s[77] + 10*s[78] - 20*s[79] + 66*s[80])*
      \[Zeta][2] + HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*
      ((101*s[4])/12 + (905*s[5])/66 + (1521*s[6])/44 + (44555*s[7])/264 - 
       (950*s[8])/297 - (14797*s[9])/108 - (5021*s[10])/108 - 
       (69739*s[11])/396 - (65261*s[12])/396 - (24989*s[13])/198 - 
       (36535*s[14])/396 - (2187*s[15])/8 - (237575*s[16])/792 - 
       (29680*s[17])/99 - (1277*s[18])/324 - (16513*s[19])/324 - 
       (622427*s[20])/1782 - (451699*s[21])/3564 + (148201*s[22])/1782 - 
       (28667*s[23])/792 + (1773619*s[24])/7128 - (1747234*s[25])/8019 + 
       (4033633*s[26])/32076 + (4*s[37])/3 + (23*s[38])/3 - (65*s[39])/12 + 
       (65*s[40])/12 - (101*s[41])/12 + (9*s[42])/4 + (1189*s[43])/44 - 
       (589*s[44])/44 + (1489*s[45])/44 - (12233*s[46])/66 - 
       (4595*s[47])/396 + (7421*s[48])/198 - (16037*s[49])/198 + 
       (1546*s[50])/11 + (1489*s[51])/132 + (1633*s[52])/198 - 
       (39911*s[53])/396 + (1442*s[54])/33 - (303629*s[55])/396 - 
       (4491*s[56])/22 - (38216*s[57])/99 - (45796*s[58])/297 + 
       (102407*s[59])/594 + (4304725*s[60])/2376 - (304817*s[61])/3564 - 
       4*s[82])*\[Zeta][2] + HPL[{1}, 1 - w]^5*((-101*s[4])/48 - 
       (377*s[5])/264 - (1697*s[6])/176 - (8941*s[7])/352 - (865*s[8])/1188 + 
       (8089*s[9])/432 + (1793*s[10])/432 + (48685*s[11])/1584 + 
       (50081*s[12])/1584 + (6371*s[13])/198 + (27361*s[14])/1584 + 
       (1047*s[15])/32 + (135407*s[16])/3168 + (30485*s[17])/792 - 
       (6343*s[18])/1296 + (14449*s[19])/1296 + (299159*s[20])/7128 + 
       (185917*s[21])/14256 - (44021*s[22])/3564 + (93611*s[23])/3168 - 
       (1344883*s[24])/28512 + (665189*s[25])/16038 - 
       (2513521*s[26])/128304 - (2*s[37])/3 - (8*s[38])/3 + (77*s[39])/48 - 
       (77*s[40])/48 + (101*s[41])/48 - s[42]/16 - (1321*s[43])/176 + 
       (831*s[44])/176 - (785*s[45])/176 + (8009*s[46])/264 + 
       (5189*s[47])/1584 - (5641*s[48])/396 + (2215*s[49])/99 - 
       (205*s[50])/11 - (1555*s[51])/528 - (569*s[52])/396 + 
       (18527*s[53])/1584 - (344*s[54])/33 + (158759*s[55])/1584 + 
       (395*s[56])/11 + (20957*s[57])/396 + (66479*s[58])/2376 - 
       (8251*s[59])/297 - (3068215*s[60])/9504 + (154711*s[61])/14256 + 
       s[82])*\[Zeta][2] + HPL[{1}, 1 - v]^5*((25*s[4])/24 + (427*s[5])/44 + 
       (4431*s[6])/352 + (139967*s[7])/1584 - (35149*s[8])/9504 - 
       (69977*s[9])/864 - (2945*s[10])/108 - (581047*s[11])/6336 - 
       (559547*s[12])/6336 - (154345*s[13])/3168 - (100805*s[14])/3168 - 
       (9515*s[15])/72 - (248771*s[16])/1584 - (303649*s[17])/2112 - 
       (79105*s[18])/2592 + (4429*s[19])/2592 - (1436489*s[20])/7128 - 
       (2776979*s[21])/28512 + (167435*s[22])/3564 + (753409*s[23])/6336 + 
       (4578269*s[24])/57024 - (49946005*s[25])/513216 + 
       (39501577*s[26])/513216 + (5*s[38])/3 - (217*s[39])/16 + 
       (217*s[40])/16 - (161*s[41])/12 + (497*s[42])/24 + (3673*s[43])/528 - 
       (9349*s[44])/1056 + (1755*s[45])/176 - (24515*s[46])/264 + 
       (24385*s[47])/3168 - (37325*s[48])/3168 - (117067*s[49])/3168 + 
       (3111*s[50])/44 + (10957*s[51])/1056 + (32843*s[52])/3168 - 
       (20875*s[53])/396 + (40*s[54])/11 - (333505*s[55])/1056 - 
       (85909*s[56])/1056 + (127231*s[57])/792 - (1601647*s[58])/9504 + 
       (1630765*s[59])/9504 + (12622741*s[60])/19008 - 
       (1220383*s[61])/28512 + 3*s[82])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^5*((8*s[4])/3 - (79*s[5])/44 + (295*s[6])/352 - 
       (3583*s[7])/1584 - (10927*s[8])/9504 + (3577*s[9])/864 + 
       (1969*s[10])/432 - (6385*s[11])/6336 - (41447*s[12])/6336 - 
       (10001*s[13])/1584 + (16703*s[14])/1584 + (1099*s[15])/72 + 
       (21317*s[16])/3168 + (39617*s[17])/2112 + (701*s[18])/2592 + 
       (4201*s[19])/2592 + (197573*s[20])/14256 + (94943*s[21])/14256 - 
       (34211*s[22])/28512 + (149839*s[23])/6336 - (250489*s[24])/57024 - 
       (2342185*s[25])/513216 - (481223*s[26])/513216 - (5*s[37])/6 - 
       (71*s[39])/48 + (71*s[40])/48 - (8*s[41])/3 + (25*s[42])/24 + 
       (241*s[43])/528 - (27*s[44])/44 - (1115*s[45])/528 - (17*s[46])/88 - 
       (463*s[47])/1584 - (227*s[48])/198 - (1091*s[49])/396 - 
       (281*s[50])/132 - (1325*s[51])/528 + (1951*s[52])/1584 + 
       (7019*s[53])/1584 + (91*s[54])/22 + (42983*s[55])/1584 + 
       (215*s[56])/528 + (3305*s[57])/66 - (36419*s[58])/2376 + 
       (34729*s[59])/4752 - (65519*s[60])/4752 + (26711*s[61])/85536 + 
       3*s[82])*\[Zeta][2] + Qep[w, v, u]*((-7616*s[2])/9 + (11360*s[3])/9 + 
       (111296*s[4])/9 - (948944*s[5])/99 - (831440*s[6])/99 - 
       (195664*s[7])/891 - (34995080*s[8])/2673 + (3011768*s[9])/243 + 
       (3046888*s[10])/243 - (10174228*s[11])/891 - (33176744*s[12])/891 - 
       (22946516*s[13])/891 + (64013084*s[14])/891 + (1350512*s[15])/81 + 
       (4552012*s[16])/891 + (5424988*s[17])/99 + (13322248*s[18])/729 - 
       (14790640*s[19])/729 + (503208056*s[20])/8019 + 
       (476607284*s[21])/8019 - (8100364*s[22])/8019 + (79315972*s[23])/891 + 
       (80024660*s[24])/8019 - (3894072640*s[25])/72171 - 
       (1002170072*s[26])/72171 - (1024*s[29])/3 + 192*s[30] - 
       (4480*s[31])/9 + (32*s[32])/9 + (784*s[33])/3 + (2176*s[34])/9 - 
       (1792*s[35])/3 - 960*s[36] + (160*s[37])/27 + 3104*s[38] - 
       (56384*s[39])/3 + (163264*s[40])/9 - (139120*s[41])/9 + 29928*s[42] + 
       (267776*s[43])/33 - (497416*s[44])/33 - (2239712*s[45])/297 - 
       (10900864*s[46])/297 + (3494632*s[47])/297 - (4079000*s[48])/297 - 
       (17817376*s[49])/297 + (1325440*s[50])/33 + (639808*s[51])/33 + 
       (3199160*s[52])/297 - (19647512*s[53])/891 - (4995856*s[54])/297 - 
       (22208152*s[55])/297 + (18999440*s[56])/891 + (389813296*s[57])/2673 - 
       (547928936*s[58])/8019 + (669892688*s[59])/8019 + 
       (87219064*s[60])/297 + (657815020*s[61])/72171 - (256*s[65])/3 - 
       (1024*s[66])/3 + 512*s[67] + (1984*s[68])/9 + 832*s[69] + 
       (64*s[70])/3 + 160*s[71] + (1408*s[72])/3 - (256*s[73])/3 - 
       (1280*s[74])/3 + (1280*s[75])/3 + (5120*s[76])/9 - (448*s[77])/3 + 
       (704*s[78])/3 - (7424*s[79])/9 + (13184*s[80])/27 - (13952*s[82])/3 - 
       (6400*s[85])/3)*\[Zeta][2] + Qep[u, w, v]*((-4672*s[2])/9 + 
       (12016*s[3])/9 + (131848*s[4])/9 - (354280*s[5])/99 - 
       (38224*s[6])/99 + (66197788*s[7])/891 - (48617512*s[8])/2673 - 
       (13000832*s[9])/243 - (1369936*s[10])/243 - (82935992*s[11])/891 - 
       (111105712*s[12])/891 - (69201592*s[13])/891 + (50848408*s[14])/891 - 
       (6717404*s[15])/81 - (107522332*s[16])/891 - (13144336*s[17])/297 + 
       (550208*s[18])/729 - (18702824*s[19])/729 - (752134088*s[20])/8019 - 
       (39303728*s[21])/8019 + (314568040*s[22])/8019 + 
       (160664612*s[23])/891 + (680665636*s[24])/8019 - 
       (11009277524*s[25])/72171 + (3372974084*s[26])/72171 - 
       (1024*s[29])/3 + 128*s[30] - (2816*s[31])/9 + (256*s[32])/9 + 
       (1664*s[33])/3 - (2368*s[34])/9 - (2432*s[35])/3 - (5504*s[36])/3 + 
       (38096*s[37])/27 + (18208*s[38])/3 - (84256*s[39])/3 + 
       (247520*s[40])/9 - (191600*s[41])/9 + 42512*s[42] + 
       (164192*s[43])/11 - (721928*s[44])/33 + (1732136*s[45])/297 - 
       (34115288*s[46])/297 + (5066456*s[47])/297 - (5265448*s[48])/297 - 
       (26565800*s[49])/297 + (3174592*s[50])/33 + (2721560*s[51])/99 + 
       (5665048*s[52])/297 - (56537104*s[53])/891 - (4854128*s[54])/297 - 
       (103437152*s[55])/297 - (52301624*s[56])/891 + 
       (646937480*s[57])/2673 - (1654227616*s[58])/8019 + 
       (1764496048*s[59])/8019 + (270052408*s[60])/297 - 
       (2087460928*s[61])/72171 - (256*s[65])/3 - (1024*s[66])/3 + 
       512*s[67] + (2432*s[68])/9 + (2048*s[69])/3 + (128*s[70])/3 + 
       (608*s[71])/3 + (1280*s[72])/3 + (256*s[73])/3 - (1312*s[74])/3 + 
       (1312*s[75])/3 + (3328*s[76])/9 - (128*s[77])/3 + (1408*s[78])/3 - 
       (10624*s[79])/9 + (35104*s[80])/27 - (6400*s[82])/3 - (5120*s[85])/3)*
      \[Zeta][2] + Qep[v, u, w]*((128*s[2])/3 + (3632*s[3])/3 + 
       (57848*s[4])/3 + (31960*s[5])/33 + (360736*s[6])/33 + 
       (51640660*s[7])/297 - (22042192*s[8])/891 - (11084600*s[9])/81 - 
       (3206680*s[10])/81 - (59404964*s[11])/297 - (69970984*s[12])/297 - 
       (42368740*s[13])/297 + (10595212*s[14])/297 - (6041684*s[15])/27 - 
       (87690976*s[16])/297 - (2135940*s[17])/11 - (3637768*s[18])/243 - 
       (11522024*s[19])/243 - (796877888*s[20])/2673 - 
       (214887908*s[21])/2673 + (242097076*s[22])/2673 + 
       (75853400*s[23])/297 + (547068328*s[24])/2673 - 
       (6833155676*s[25])/24057 + (2938168148*s[26])/24057 - (1024*s[29])/3 + 
       64*s[30] - (896*s[31])/3 - (352*s[32])/3 + (80*s[33])/3 - 
       (64*s[34])/3 - 640*s[35] - (5312*s[36])/3 + (2480*s[37])/3 + 
       (24512*s[38])/3 - 36800*s[39] + 38208*s[40] - (91424*s[41])/3 + 
       (162200*s[42])/3 + (304320*s[43])/11 - (1083920*s[44])/33 + 
       (204664*s[45])/11 - (6967256*s[46])/33 + (1478624*s[47])/99 - 
       (619648*s[48])/99 - (14313608*s[49])/99 + (1893440*s[50])/11 + 
       (1125848*s[51])/33 + (2384080*s[52])/99 - (1289704*s[53])/11 - 
       (216928*s[54])/11 - (7579032*s[55])/11 - (13825048*s[56])/99 + 
       (71938120*s[57])/297 - (291855656*s[58])/891 + (313280768*s[59])/891 + 
       (517867384*s[60])/297 - (566216900*s[61])/8019 - (256*s[65])/3 - 
       (1024*s[66])/3 + 512*s[67] + (320*s[68])/3 + (3136*s[69])/3 + 
       64*s[70] + (448*s[71])/3 + 384*s[72] - 512*s[73] - 352*s[74] + 
       352*s[75] + (896*s[76])/3 - 320*s[77] + 704*s[78] - (896*s[79])/3 + 
       480*s[80] + 384*s[82] - 1280*s[85])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*((457*s[2])/3 - (1405*s[3])/4 - 
       (16169*s[4])/8 - (693215*s[5])/264 - (196270*s[6])/33 - 
       (214850945*s[7])/4752 + (1056563*s[8])/297 + (8287175*s[9])/216 + 
       (2613991*s[10])/216 + (25758527*s[11])/528 + (41668735*s[12])/792 + 
       (146863219*s[13])/4752 + (5312911*s[14])/528 + (25822793*s[15])/432 + 
       (179370665*s[16])/2376 + (285933245*s[17])/4752 + 
       (2339921*s[18])/216 + (844823*s[19])/216 + (111067859*s[20])/1188 + 
       (525296201*s[21])/14256 - (332798909*s[22])/14256 - 
       (63102305*s[23])/1188 - (165216923*s[24])/3564 + 
       (7658210765*s[25])/128304 - (4670094647*s[26])/128304 + 16*s[29] - 
       7*s[30] + (178*s[31])/3 - (253*s[32])/6 + (395*s[33])/4 - 
       (397*s[34])/3 - (56*s[35])/3 - (866*s[36])/9 - (1345*s[37])/36 - 
       1412*s[38] + (62995*s[39])/12 - (216589*s[40])/36 + (54431*s[41])/12 - 
       (527251*s[42])/72 - (2147951*s[43])/396 + (474935*s[44])/99 - 
       (6537995*s[45])/792 + (4741207*s[46])/88 - (484966*s[47])/297 - 
       (2394241*s[48])/1188 + (51414755*s[49])/2376 - (7807363*s[50])/198 - 
       (12240505*s[51])/2376 - (5816381*s[52])/1188 + (22477105*s[53])/792 - 
       (97855*s[54])/22 + (147207083*s[55])/792 + (130464541*s[56])/2376 - 
       (271426987*s[57])/7128 + (1797054881*s[58])/21384 - 
       (220999846*s[59])/2673 - (3093908275*s[60])/7128 + 
       (10599438541*s[61])/384912 - (5*s[65])/3 - (8*s[66])/3 + 
       (22*s[67])/3 - (127*s[68])/3 + (137*s[69])/3 - (23*s[70])/3 + 
       (62*s[71])/3 - (50*s[72])/3 - (308*s[73])/3 - (33*s[74])/2 + 
       (33*s[75])/2 - (118*s[76])/3 - (23*s[77])/3 + (49*s[78])/3 - 
       246*s[79] + (3545*s[80])/18 - 1470*s[82] + (107*s[83])/2 - 137*s[84] - 
       892*s[85])*\[Zeta][2] + HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      ((2243*s[2])/9 - (17573*s[3])/36 - (165955*s[4])/72 - 
       (2170193*s[5])/792 - (618193*s[6])/99 - (686018735*s[7])/14256 + 
       (87658771*s[8])/21384 + (19883597*s[9])/486 + (5736505*s[10])/486 + 
       (373575965*s[11])/7128 + (411699175*s[12])/7128 + 
       (60635647*s[13])/1782 + (17459735*s[14])/1782 + 
       (79702219*s[15])/1296 + (1134697301*s[16])/14256 + 
       (35979505*s[17])/594 + (17469253*s[18])/1458 + (17333873*s[19])/5832 + 
       (6383922917*s[20])/64152 + (2478054071*s[21])/64152 - 
       (201122990*s[22])/8019 - (869175817*s[23])/14256 - 
       (6187271405*s[24])/128304 + (74807053381*s[25])/1154736 - 
       (44665681717*s[26])/1154736 - (10*s[29])/3 + 4*s[30] + (442*s[31])/9 - 
       (725*s[32])/9 + (197*s[33])/6 - (889*s[34])/9 + 48*s[35] - 
       (629*s[36])/9 - (32485*s[37])/108 - (2223*s[38])/2 + (17059*s[39])/4 - 
       (171599*s[40])/36 + (59087*s[41])/18 - (225161*s[42])/36 - 
       (1226849*s[43])/396 + (2571709*s[44])/792 - (15354905*s[45])/2376 + 
       (94814477*s[46])/2376 - (6750859*s[47])/2376 + (1877519*s[48])/2376 + 
       (27369775*s[49])/2376 - (2731568*s[50])/99 - (11782549*s[51])/2376 - 
       (11747375*s[52])/2376 + (70241063*s[53])/3564 - (8184263*s[54])/1188 + 
       (156061525*s[55])/1188 + (325003025*s[56])/7128 - 
       (1156941215*s[57])/21384 + (2300982191*s[58])/32076 - 
       (2114151533*s[59])/32076 - (538464631*s[60])/1782 + 
       (12918304615*s[61])/577368 + s[65]/3 + (10*s[66])/3 - (28*s[67])/3 - 
       (670*s[68])/9 + (382*s[69])/3 + (4*s[70])/3 + (13*s[71])/2 - 
       (92*s[72])/3 - (848*s[73])/3 + (97*s[74])/6 - (97*s[75])/6 - 
       (452*s[76])/9 - 86*s[77] + 48*s[78] - (2092*s[79])/9 + 
       (5111*s[80])/54 - (2440*s[82])/3 + (89*s[83])/2 - 135*s[84] - 
       (2648*s[85])/3)*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((-1280*s[2])/3 - (193*s[3])/3 - (42935*s[4])/6 - 
       (78510*s[5])/11 - (693161*s[6])/44 - (333133081*s[7])/2376 + 
       (5674409*s[8])/594 + (3220142*s[9])/27 + (4354075*s[10])/108 + 
       (60587719*s[11])/396 + (129257687*s[12])/792 + 
       (232070645*s[13])/2376 + (19521011*s[14])/792 + (41422771*s[15])/216 + 
       (71361154*s[16])/297 + (115234675*s[17])/594 + (8143667*s[18])/324 + 
       (3725309*s[19])/162 + (253918861*s[20])/891 + (252357239*s[21])/2376 - 
       (525822821*s[22])/7128 - (334792165*s[23])/2376 - 
       (1122372059*s[24])/7128 + (4076367595*s[25])/21384 - 
       (2311650205*s[26])/21384 - (86*s[29])/3 + 20*s[30] - (386*s[31])/3 + 
       51*s[32] + (49*s[33])/3 + (530*s[34])/3 + (22*s[35])/3 + 
       (6737*s[36])/18 - (6547*s[37])/18 - (27883*s[38])/6 + 
       (407957*s[39])/24 - (1383203*s[40])/72 + (362827*s[41])/24 - 
       (1684351*s[42])/72 - (13888465*s[43])/792 + (27012719*s[44])/1584 - 
       (4269625*s[45])/198 + (123178427*s[46])/792 - (14625649*s[47])/4752 - 
       (33773899*s[48])/4752 + (374651743*s[49])/4752 - 
       (23898043*s[50])/198 - (73534283*s[51])/4752 - (58802669*s[52])/4752 + 
       (25141700*s[53])/297 + (285610*s[54])/99 + (861953069*s[55])/1584 + 
       (220495855*s[56])/1584 - (51332899*s[57])/594 + 
       (1083715603*s[58])/4752 - (1120646333*s[59])/4752 - 
       (37257877885*s[60])/28512 + (8810782895*s[61])/128304 - (22*s[65])/3 - 
       (88*s[66])/3 + (136*s[67])/3 + (230*s[68])/3 - (98*s[69])/3 - 
       (98*s[70])/3 + (43*s[71])/3 + (16*s[72])/3 + (703*s[73])/3 + s[74] - 
       s[75] + (724*s[76])/3 + (268*s[77])/3 - (479*s[78])/3 - 
       (4490*s[79])/3 + (3116*s[80])/9 - 4340*s[82] - s[83] - 534*s[84] - 
       868*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*((-849*s[2])/4 - (845*s[3])/12 - 
       (67053*s[4])/16 - (427451*s[5])/88 - (449071*s[6])/44 - 
       (869653853*s[7])/9504 + (1771508*s[8])/297 + (33774007*s[9])/432 + 
       (5916151*s[10])/216 + (78305677*s[11])/792 + (330026689*s[12])/3168 + 
       (586274815*s[13])/9504 + (59851621*s[14])/3168 + 
       (109776239*s[15])/864 + (374668273*s[16])/2376 + 
       (617599393*s[17])/4752 + (21691441*s[18])/1296 + (2406397*s[19])/162 + 
       (337599775*s[20])/1782 + (225086509*s[21])/3168 - 
       (1372530121*s[22])/28512 - (811689455*s[23])/9504 - 
       (2954709793*s[24])/28512 + (10429860805*s[25])/85536 - 
       (6022709611*s[26])/85536 - (82*s[29])/3 + 21*s[30] - 70*s[31] + 
       (97*s[32])/4 + (115*s[33])/6 + 57*s[34] - (29*s[35])/3 + 
       (997*s[36])/6 - (475*s[37])/9 - (32909*s[38])/12 + (498745*s[39])/48 - 
       (190203*s[40])/16 + (463475*s[41])/48 - (690017*s[42])/48 - 
       (1975673*s[43])/176 + (11468863*s[44])/1056 - (23228215*s[45])/1584 + 
       (40895959*s[46])/396 - (4027021*s[47])/3168 - (17537947*s[48])/3168 + 
       (161676883*s[49])/3168 - (1790667*s[50])/22 - (30243755*s[51])/3168 - 
       (22991405*s[52])/3168 + (136279213*s[53])/2376 + (551249*s[54])/198 + 
       (1171919231*s[55])/3168 + (878820923*s[56])/9504 - 
       (268868513*s[57])/7128 + (12456477907*s[58])/85536 - 
       (12979245535*s[59])/85536 - (16668286271*s[60])/19008 + 
       (17809280525*s[61])/384912 - 7*s[65] - 28*s[66] + (124*s[67])/3 + 
       (383*s[68])/6 - (13*s[69])/2 - (44*s[70])/3 + 19*s[71] + 
       (20*s[72])/3 + (217*s[73])/3 + (4*s[74])/3 - (4*s[75])/3 + 106*s[76] + 
       (295*s[77])/6 - (127*s[78])/3 - (2818*s[79])/3 + (1234*s[80])/9 - 
       (8457*s[82])/2 + (9*s[83])/2 - 471*s[84] - 830*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      (-306*s[2] - (551*s[3])/6 - (20959*s[4])/4 - (265345*s[5])/44 - 
       (560075*s[6])/44 - (33447529*s[7])/297 + (25321621*s[8])/3564 + 
       (15585445*s[9])/162 + (10877551*s[10])/324 + (36269324*s[11])/297 + 
       (306005495*s[12])/2376 + (182430953*s[13])/2376 + 
       (54410359*s[14])/2376 + (16852763*s[15])/108 + 
       (460876859*s[16])/2376 + (31638371*s[17])/198 + (9782129*s[18])/486 + 
       (4610909*s[19])/243 + (619825067*s[20])/2673 + 
       (1861904461*s[21])/21384 - (1266319667*s[22])/21384 - 
       (124083251*s[23])/1188 - (684978731*s[24])/5346 + 
       (7254703699*s[25])/48114 - (8358760301*s[26])/96228 - (88*s[29])/3 + 
       18*s[30] - (250*s[31])/3 + 64*s[32] + (395*s[33])/6 + (296*s[34])/3 + 
       (4*s[35])/3 + (3515*s[36])/18 - (1271*s[37])/9 - (19855*s[38])/6 + 
       (95041*s[39])/8 - (978821*s[40])/72 + (260041*s[41])/24 - 
       (1168369*s[42])/72 - (10393111*s[43])/792 + (19463843*s[44])/1584 - 
       (6669713*s[45])/396 + (92769239*s[46])/792 - (6890197*s[47])/4752 - 
       (31286635*s[48])/4752 + (276306235*s[49])/4752 - 
       (18096085*s[50])/198 - (51485315*s[51])/4752 - (40791749*s[52])/4752 + 
       (76536533*s[53])/1188 + (463517*s[54])/198 + (659370097*s[55])/1584 + 
       (167435051*s[56])/1584 - (1057357*s[57])/22 + (2385369989*s[58])/
        14256 - (2476460315*s[59])/14256 - (28303455733*s[60])/28512 + 
       (6758318851*s[61])/128304 + 4*s[63] - (28*s[65])/3 - (88*s[66])/3 + 
       48*s[67] + (238*s[68])/3 - 16*s[69] - 30*s[70] + (82*s[71])/3 + 
       (88*s[72])/3 + (577*s[73])/3 - (55*s[74])/3 + (55*s[75])/3 + 
       138*s[76] + (178*s[77])/3 - 83*s[78] - (3098*s[79])/3 + 
       (1865*s[80])/9 - 4052*s[82] - s[83] - 470*s[84] - 740*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-4625*s[2])/18 - (2347*s[3])/18 - (1234475*s[4])/144 - 
       (11268811*s[5])/1584 - (26859817*s[6])/1584 - (4249368703*s[7])/
        28512 + (496280663*s[8])/42768 + (490629937*s[9])/3888 + 
       (153043025*s[10])/3888 + (4678397291*s[11])/28512 + 
       (5103967663*s[12])/28512 + (1534300481*s[13])/14256 + 
       (146240417*s[14])/7128 + (511676069*s[15])/2592 + 
       (7165697071*s[16])/28512 + (1849738337*s[17])/9504 + 
       (325724201*s[18])/11664 + (252614275*s[19])/11664 + 
       (38065351105*s[20])/128304 + (7017349763*s[21])/64152 - 
       (10054369757*s[22])/128304 - (2436847555*s[23])/14256 - 
       (2596198909*s[24])/16038 + (479053449317*s[25])/2309472 - 
       (266548405691*s[26])/2309472 + (43*s[29])/3 - (27*s[30])/4 - 
       (842*s[31])/9 + (985*s[32])/36 + (1331*s[33])/48 + (5267*s[34])/36 + 
       (185*s[35])/6 + (13583*s[36])/36 - (113453*s[37])/216 - 
       (21951*s[38])/4 + (988031*s[39])/48 - (1104299*s[40])/48 + 
       (2557177*s[41])/144 - (2082305*s[42])/72 - (30633091*s[43])/1584 + 
       (30753379*s[44])/1584 - (108049177*s[45])/4752 + 
       (403713425*s[46])/2376 - (9413545*s[47])/1584 - (3743123*s[48])/792 + 
       (22764257*s[49])/264 - (102363167*s[50])/792 - (92843155*s[51])/4752 - 
       (1605049*s[52])/99 + (1286439719*s[53])/14256 - (1178383*s[54])/594 + 
       (1367681561*s[55])/2376 + (545898217*s[56])/3564 - 
       (6052275901*s[57])/42768 + (33699639197*s[58])/128304 - 
       (34254103475*s[59])/128304 - (39801388415*s[60])/28512 + 
       (43279350739*s[61])/577368 + (5*s[65])/12 + (11*s[66])/3 - 
       (55*s[67])/6 + (74*s[68])/9 - (197*s[69])/3 - 35*s[70] + 
       (221*s[71])/12 - (103*s[72])/3 + (680*s[73])/3 + (181*s[74])/4 - 
       (181*s[75])/4 + (1984*s[76])/9 + (449*s[77])/6 - (694*s[78])/3 - 
       (14701*s[79])/9 + (46285*s[80])/108 - (5638*s[82])/3 - (115*s[83])/4 - 
       (1077*s[84])/2 - (1742*s[85])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*((1265*s[2])/3 - 
       (1459*s[3])/6 + (24709*s[4])/12 + (17894*s[5])/33 + 
       (131663*s[6])/132 + (62915675*s[7])/2376 - (7366417*s[8])/3564 - 
       (1765541*s[9])/81 - (1482449*s[10])/162 - (69988117*s[11])/2376 - 
       (18399893*s[12])/594 - (44342051*s[13])/2376 + (3700811*s[14])/2376 - 
       (8789413*s[15])/216 - (29106989*s[16])/594 - (31929305*s[17])/792 - 
       (18935*s[18])/486 - (10510763*s[19])/972 - (532646507*s[20])/10692 - 
       (305786959*s[21])/21384 + (304030115*s[22])/21384 + 
       (5118650*s[23])/297 + (99297178*s[24])/2673 - (3817876943*s[25])/
        96228 + (1679559635*s[26])/96228 - 8*s[30] + (400*s[31])/3 - 
       (224*s[32])/3 + (389*s[33])/2 - (856*s[34])/3 - 102*s[35] - 
       452*s[36] - (148*s[37])/9 + 988*s[38] - (8107*s[39])/2 + 
       (24025*s[40])/6 - (22321*s[41])/6 + (11097*s[42])/2 + 
       (86261*s[43])/22 - (188385*s[44])/44 + (179678*s[45])/99 - 
       (4931635*s[46])/198 + (30035*s[47])/396 + (333305*s[48])/396 - 
       (9071957*s[49])/396 + (263570*s[50])/11 + (370351*s[51])/132 + 
       (360109*s[52])/396 - (4909048*s[53])/297 - (1010774*s[54])/99 - 
       (37796789*s[55])/396 - (10172069*s[56])/1188 - (5967838*s[57])/891 - 
       (274368637*s[58])/10692 + (382787029*s[59])/10692 + 
       (62729663*s[60])/264 - (229790141*s[61])/48114 - 4*s[65] - 16*s[66] + 
       24*s[67] - (220*s[68])/3 + 168*s[69] - 12*s[70] + 24*s[71] + 
       20*s[72] - 260*s[73] - 33*s[74] + 33*s[75] - (488*s[76])/3 - 
       46*s[77] + 228*s[78] - (424*s[79])/3 + (3436*s[80])/9 + 1168*s[82] + 
       3*s[83] - 66*s[84] - 568*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-544*s[2])/3 + (239*s[3])/3 - (5617*s[4])/6 - (75309*s[5])/22 - 
       (69437*s[6])/11 - (9660247*s[7])/198 + (6189437*s[8])/3564 + 
       (13893859*s[9])/324 + (5218523*s[10])/324 + (122627927*s[11])/2376 + 
       (30826237*s[12])/594 + (72707021*s[13])/2376 + (42412013*s[14])/2376 + 
       (1868909*s[15])/27 + (200468351*s[16])/2376 + (176231441*s[17])/2376 + 
       (2576387*s[18])/243 + (5862427*s[19])/972 + (1154547217*s[20])/10692 + 
       (937993901*s[21])/21384 - (551503045*s[22])/21384 - 
       (78386497*s[23])/2376 - (1184475499*s[24])/21384 + 
       (1434027079*s[25])/24057 - (937312030*s[26])/24057 - 58*s[29] + 
       40*s[30] - 78*s[31] + s[32] + (19*s[33])/3 + (74*s[34])/3 - 
       (125*s[35])/3 - (1237*s[36])/18 + (406*s[37])/9 - (7585*s[38])/6 + 
       (98581*s[39])/24 - (361211*s[40])/72 + (99211*s[41])/24 - 
       (384853*s[42])/72 - (4469953*s[43])/792 + (7575671*s[44])/1584 - 
       (3262883*s[45])/396 + (41529905*s[46])/792 + (2288135*s[47])/4752 - 
       (22269475*s[48])/4752 + (111253771*s[49])/4752 - (8019541*s[50])/198 - 
       (17222303*s[51])/4752 - (14807189*s[52])/4752 + 
       (34013267*s[53])/1188 - (28231*s[54])/198 + (100838879*s[55])/528 + 
       (80220419*s[56])/1584 - (652588*s[57])/99 + (1026415433*s[58])/14256 - 
       (1052712491*s[59])/14256 - (12862070533*s[60])/28512 + 
       (3214499641*s[61])/128304 - (46*s[65])/3 - (172*s[66])/3 + 
       (260*s[67])/3 + 62*s[68] + (320*s[69])/3 - (22*s[70])/3 + 
       (82*s[71])/3 + (154*s[72])/3 - (89*s[73])/3 - (229*s[74])/6 + 
       (229*s[75])/6 + (200*s[76])/3 - (41*s[77])/3 + (233*s[78])/3 - 
       (1838*s[79])/3 + (953*s[80])/9 - 2500*s[82] + 26*s[83] - 316*s[84] - 
       544*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*((605*s[2])/3 - (1411*s[3])/2 - (14813*s[4])/3 - 
       (125161*s[5])/66 - (267193*s[6])/44 - (6195767*s[7])/99 + 
       (24139339*s[8])/3564 + (16662365*s[9])/324 + (2453927*s[10])/162 + 
       (166039945*s[11])/2376 + (188868899*s[12])/2376 + 
       (14107721*s[13])/297 + (429443*s[14])/297 + (2178166*s[15])/27 + 
       (62295217*s[16])/594 + (177461563*s[17])/2376 + (5210915*s[18])/486 + 
       (2519906*s[19])/243 + (643640017*s[20])/5346 + 
       (429818231*s[21])/10692 - (348881719*s[22])/10692 - 
       (196691327*s[23])/2376 - (1470656927*s[24])/21384 + 
       (17814705787*s[25])/192456 - (9079441453*s[26])/192456 + 
       (146*s[29])/3 - 18*s[30] + (362*s[31])/3 - 68*s[32] - (33*s[33])/2 - 
       (406*s[34])/3 + (503*s[35])/3 + (3007*s[36])/18 - (1631*s[37])/9 - 
       (13621*s[38])/6 + (78885*s[39])/8 - (771625*s[40])/72 + 
       (201089*s[41])/24 - (1045823*s[42])/72 - (5939915*s[43])/792 + 
       (13769803*s[44])/1584 - (801764*s[45])/99 + (18223279*s[46])/264 - 
       (21818825*s[47])/4752 + (5164681*s[48])/4752 + 
       (170610359*s[49])/4752 - (5303659*s[50])/99 - (48682735*s[51])/4752 - 
       (37939933*s[52])/4752 + (7234175*s[53])/198 - (21191*s[54])/22 + 
       (120104087*s[55])/528 + (278337277*s[56])/4752 - 
       (70136437*s[57])/891 + (4799893775*s[58])/42768 - 
       (4799646365*s[59])/42768 - (15915645749*s[60])/28512 + 
       (11337748031*s[61])/384912 + (32*s[65])/3 + (140*s[66])/3 - 76*s[67] - 
       70*s[68] - (124*s[69])/3 - 52*s[70] - (56*s[71])/3 - 98*s[72] - 
       (571*s[73])/3 + (487*s[74])/6 - (487*s[75])/6 - (488*s[76])/3 + 
       (77*s[77])/3 + (221*s[78])/3 - 364*s[79] + (827*s[80])/9 - 604*s[82] + 
       49*s[83] - 214*s[84] - 544*s[85])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*(-s[1] - (2824*s[2])/9 - 
       (7829*s[3])/36 - (575357*s[4])/144 - (7569787*s[5])/1584 - 
       (15812491*s[6])/1584 - (2472016381*s[7])/28512 + 
       (234859577*s[8])/42768 + (287820997*s[9])/3888 + 
       (98878385*s[10])/3888 + (2696430545*s[11])/28512 + 
       (2860557547*s[12])/28512 + (213570851*s[13])/3564 + 
       (247147603*s[14])/14256 + (307774319*s[15])/2592 + 
       (4243241407*s[16])/28512 + (384678901*s[17])/3168 + 
       (188677625*s[18])/11664 + (163091233*s[19])/11664 + 
       (22877130775*s[20])/128304 + (8676989413*s[21])/128304 - 
       (730466029*s[22])/16038 - (1189394653*s[23])/14256 - 
       (6261114367*s[24])/64152 + (269270028017*s[25])/2309472 - 
       (155989043711*s[26])/2309472 - (65*s[29])/3 + (97*s[30])/4 - 
       (866*s[31])/9 + (1213*s[32])/36 + (227*s[33])/48 + (3959*s[34])/36 - 
       (49*s[35])/6 + (2113*s[36])/12 - (53705*s[37])/216 - (11383*s[38])/4 + 
       (462695*s[39])/48 - (1559497*s[40])/144 + (1195033*s[41])/144 - 
       (308005*s[42])/24 - (5423833*s[43])/528 + (1681685*s[44])/176 - 
       (62770237*s[45])/4752 + (215406611*s[46])/2376 - 
       (7783789*s[47])/4752 - (5304019*s[48])/1188 + (54000019*s[49])/1188 - 
       (6107375*s[50])/88 - (13327379*s[51])/1584 - (16989265*s[52])/2376 + 
       (695736839*s[53])/14256 + (466471*s[54])/297 + (93912223*s[55])/297 + 
       (582432839*s[56])/7128 - (2123709661*s[57])/42768 + 
       (17151978179*s[58])/128304 - (17654872133*s[59])/128304 - 
       (2414402633*s[60])/3168 + (11741272415*s[61])/288684 + 8*s[63] - 
       (59*s[65])/12 - (77*s[66])/3 + (63*s[67])/2 + (338*s[68])/9 - 
       11*s[69] - (91*s[70])/3 + (47*s[71])/4 + (71*s[72])/3 + 
       (646*s[73])/3 - (271*s[74])/12 + (271*s[75])/12 + (1450*s[76])/9 + 
       (395*s[77])/6 - (398*s[78])/3 - (5617*s[79])/9 + (17473*s[80])/108 - 
       (8746*s[82])/3 - (45*s[83])/4 - (399*s[84])/2 - (1574*s[85])/3)*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      ((431*s[2])/6 - (2527*s[3])/12 - (2911*s[4])/48 - (131665*s[5])/264 - 
       (457147*s[6])/264 - (57054989*s[7])/9504 + (4152449*s[8])/7128 + 
       (6682349*s[9])/1296 + (65197*s[10])/81 + (29069573*s[11])/4752 + 
       (66471557*s[12])/9504 + (36728411*s[13])/9504 + 
       (36837607*s[14])/9504 + (4908343*s[15])/864 + (40622155*s[16])/4752 + 
       (3312395*s[17])/528 + (3508471*s[18])/972 - (10331353*s[19])/3888 + 
       (303336799*s[20])/21384 + (580171873*s[21])/85536 - 
       (250356971*s[22])/85536 - (120592873*s[23])/9504 - 
       (201427925*s[24])/85536 + (4969855009*s[25])/769824 - 
       (4411548613*s[26])/769824 + 4*s[29] - 9*s[30] + (44*s[31])/3 - 
       (70*s[32])/3 + 34*s[33] - (257*s[34])/3 - 41*s[35] - 160*s[36] - 
       (791*s[37])/36 + (523*s[38])/4 + (29*s[39])/16 - (14039*s[40])/48 - 
       (463*s[41])/48 - (5197*s[42])/16 + (68369*s[43])/176 - 
       (75409*s[44])/352 - (2276075*s[45])/1584 + (4301065*s[46])/792 - 
       (2651251*s[47])/3168 + (1452035*s[48])/3168 - (12165665*s[49])/3168 - 
       (82861*s[50])/44 - (849817*s[51])/1056 - (3726335*s[52])/3168 + 
       (3918149*s[53])/2376 - (4571279*s[54])/792 + (46672669*s[55])/3168 + 
       (122823175*s[56])/9504 - (31724641*s[57])/1782 + 
       (1257508499*s[58])/85536 - (817564883*s[59])/85536 - 
       (154648765*s[60])/6336 + (2378535943*s[61])/384912 - 4*s[66] - 
       (92*s[68])/3 + 68*s[69] - 2*s[70] + 9*s[71] - 14*s[72] - 114*s[73] + 
       (11*s[74])/2 - (11*s[75])/2 - (76*s[76])/3 - 9*s[77] + 50*s[78] - 
       (860*s[79])/3 + (1997*s[80])/9 + 228*s[82] + (3*s[83])/2 - 117*s[84] - 
       500*s[85])*\[Zeta][2] + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((-1133*s[2])/6 - (1533*s[3])/8 - (27211*s[4])/8 - (607785*s[5])/176 - 
       (344177*s[6])/44 - (162251917*s[7])/2376 + (62559479*s[8])/14256 + 
       (4696600*s[9])/81 + (13095931*s[10])/648 + (708101663*s[11])/9504 + 
       (753399547*s[12])/9504 + (225075041*s[13])/4752 + 
       (62421283*s[14])/4752 + (5046209*s[15])/54 + (279120397*s[16])/2376 + 
       (100915747*s[17])/1056 + (48054953*s[18])/3888 + 
       (44793157*s[19])/3888 + (5985183607*s[20])/42768 + 
       (1117686623*s[21])/21384 - (1531638833*s[22])/42768 - 
       (623342849*s[23])/9504 - (6622968157*s[24])/85536 + 
       (71117149091*s[25])/769824 - (40639411301*s[26])/769824 - 
       (61*s[29])/6 + (125*s[30])/4 - (158*s[31])/3 + (57*s[32])/2 + 
       (763*s[33])/48 + (491*s[34])/12 - 25*s[35] + (539*s[36])/6 - 
       (7525*s[37])/72 - (26261*s[38])/12 + 7404*s[39] - (51323*s[40])/6 + 
       (40379*s[41])/6 - (156535*s[42])/16 - (563663*s[43])/66 + 
       (692909*s[44])/88 - (18352793*s[45])/1584 + (122562731*s[46])/1584 - 
       (266089*s[47])/528 - (2700697*s[48])/528 + (10015427*s[49])/264 - 
       (15860633*s[50])/264 - (5098043*s[51])/792 - (1397783*s[52])/264 + 
       (200715781*s[53])/4752 + (1828591*s[54])/792 + (218554723*s[55])/792 + 
       (167757949*s[56])/2376 - (393464033*s[57])/14256 + 
       (2353668263*s[58])/21384 - (4875178813*s[59])/42768 - 
       (6265080199*s[60])/9504 + (27233902637*s[61])/769824 + 8*s[63] - 
       (83*s[65])/12 - (89*s[66])/3 + 40*s[67] + (155*s[68])/3 - s[69]/3 - 
       24*s[70] + (179*s[71])/12 + 31*s[72] + 134*s[73] - (47*s[74])/2 + 
       (47*s[75])/2 + 99*s[76] + 52*s[77] - (75*s[78])/2 - 658*s[79] + 
       (6773*s[80])/36 - 2736*s[82] - (45*s[83])/4 - (417*s[84])/2 - 
       496*s[85])*\[Zeta][2] + HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      ((-13201*s[2])/72 - (6277*s[3])/144 - (1083107*s[4])/288 - 
       (1553081*s[5])/396 - (26733709*s[6])/3168 - (4236696067*s[7])/57024 + 
       (437888117*s[8])/85536 + (15378707*s[9])/243 + (40943891*s[10])/1944 + 
       (4642481795*s[11])/57024 + (311072419*s[12])/3564 + 
       (2975540593*s[13])/57024 + (725416283*s[14])/57024 + 
       (521520593*s[15])/5184 + (3617284835*s[16])/28512 + 
       (1935368419*s[17])/19008 + (160983289*s[18])/11664 + 
       (274559107*s[19])/23328 + (38628977083*s[20])/256608 + 
       (29203028489*s[21])/513216 - (20040233941*s[22])/513216 - 
       (2217385903*s[23])/28512 - (21110435207*s[24])/256608 + 
       (116834697521*s[25])/1154736 - (66913848305*s[26])/1154736 + 
       (31*s[29])/3 + (27*s[30])/4 - (295*s[31])/9 + (1319*s[32])/36 + 
       (2021*s[33])/24 + (2521*s[34])/36 - (349*s[35])/12 + (805*s[36])/4 - 
       (30671*s[37])/108 - (16037*s[38])/6 + (226295*s[39])/24 - 
       (769843*s[40])/72 + (593881*s[41])/72 - (153155*s[42])/12 - 
       (2636137*s[43])/264 + (2504897*s[44])/264 - (7434277*s[45])/594 + 
       (208701811*s[46])/2376 - (7573235*s[47])/4752 - 
       (20716805*s[48])/4752 + (211283465*s[49])/4752 - (5942261*s[50])/88 - 
       (13058095*s[51])/1584 - (2061172*s[52])/297 + (337898015*s[53])/7128 + 
       (1008871*s[54])/594 + (727199503*s[55])/2376 + 
       (1127897651*s[56])/14256 - (2134828115*s[57])/42768 + 
       (4158015259*s[58])/32076 - (4293405841*s[59])/32076 - 
       (778560971*s[60])/1056 + (45320039581*s[61])/1154736 + s[65]/12 - 
       (5*s[66])/3 - s[67]/2 + (310*s[68])/9 - (209*s[69])/3 - 
       (127*s[70])/6 + (91*s[71])/12 + (17*s[72])/6 + (1291*s[73])/6 - 
       (313*s[74])/24 + (313*s[75])/24 + (1130*s[76])/9 + (671*s[77])/12 - 
       (307*s[78])/3 - (6794*s[79])/9 + (14065*s[80])/54 - (8321*s[82])/3 - 
       (45*s[83])/4 - (363*s[84])/2 - (1426*s[85])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
      ((-325*s[2])/3 - (2411*s[3])/12 - (20293*s[4])/6 - (69649*s[5])/24 - 
       (41275*s[6])/6 - (26765335*s[7])/432 + (730271*s[8])/162 + 
       (34033193*s[9])/648 + (11298259*s[10])/648 + (7331531*s[11])/108 + 
       (31621627*s[12])/432 + (18958585*s[13])/432 + (4152761*s[14])/432 + 
       (36135595*s[15])/432 + (22836035*s[16])/216 + (6017623*s[17])/72 + 
       (21688243*s[18])/1944 + (2427934*s[19])/243 + (243415009*s[20])/1944 + 
       (178589861*s[21])/3888 - (126775561*s[22])/3888 - 
       (28065581*s[23])/432 - (269098453*s[24])/3888 + 
       (2987513633*s[25])/34992 - (1668302021*s[26])/34992 + (19*s[30])/2 - 
       (89*s[31])/3 + (31*s[32])/3 - (121*s[33])/8 + (349*s[34])/6 + 
       (70*s[35])/3 + (407*s[36])/3 - (3805*s[37])/36 - 1884*s[38] + 
       (85853*s[39])/12 - (96593*s[40])/12 + (38179*s[41])/6 - 
       (120329*s[42])/12 - (920459*s[43])/132 + (931277*s[44])/132 - 
       (6947789*s[45])/792 + (50449601*s[46])/792 - (218959*s[47])/132 - 
       (161405*s[48])/66 + (4185325*s[49])/132 - (6529415*s[50])/132 - 
       (1339769*s[51])/198 - (119505*s[52])/22 + (81611503*s[53])/2376 + 
       (165647*s[54])/198 + (87406171*s[55])/396 + (67833589*s[56])/1188 - 
       (37171282*s[57])/891 + (2041859683*s[58])/21384 - 
       (1042573811*s[59])/10692 - (2526695161*s[60])/4752 + 
       (10938380045*s[61])/384912 + 4*s[66] - 2*s[67] + (47*s[68])/3 - 
       14*s[69] - 23*s[70] + 7*s[71] - 16*s[72] - 10*s[73] + (121*s[74])/6 - 
       (121*s[75])/6 + (50*s[76])/3 + (97*s[77])/3 - 35*s[78] - 
       (1585*s[79])/3 + (1121*s[80])/18 - 1972*s[82] - s[83]/2 - 265*s[84] - 
       468*s[85])*\[Zeta][2] + HPL[{0, 0, 0, 1, 1}, 1 - v]*
      ((10735*s[2])/3 - (16415*s[3])/6 + (193595*s[4])/12 + 
       (888442*s[5])/33 + (6087793*s[6])/132 + (1043290651*s[7])/2376 - 
       (65855675*s[8])/3564 - (61661453*s[9])/162 - (23506447*s[10])/162 - 
       (1132785293*s[11])/2376 - (144749567*s[12])/297 - 
       (692769199*s[13])/2376 - (239488769*s[14])/2376 - 
       (136573169*s[15])/216 - (229604693*s[16])/297 - 
       (528034333*s[17])/792 - (33570811*s[18])/486 - (90194017*s[19])/972 - 
       (9784952017*s[20])/10692 - (7576345919*s[21])/21384 + 
       (4987063243*s[22])/21384 + (187902641*s[23])/594 + 
       (1403722577*s[24])/2673 - (13834057540*s[25])/24057 + 
       (8160664999*s[26])/24057 + 216*s[29] - 222*s[30] + (3404*s[31])/3 - 
       (1864*s[32])/3 + 181*s[33] - (5666*s[34])/3 + 366*s[35] - 
       (6344*s[36])/3 + (6115*s[37])/9 + 15700*s[38] - (89619*s[39])/2 + 
       (99731*s[40])/2 - (241919*s[41])/6 + (323261*s[42])/6 + 
       (3921923*s[43])/66 - (1640401*s[44])/33 + (13147403*s[45])/198 - 
       (44755606*s[46])/99 - (493099*s[47])/66 + (1364197*s[48])/33 - 
       (5943529*s[49])/22 + (11914072*s[50])/33 + (2868403*s[51])/99 + 
       (1533485*s[52])/66 - (151347805*s[53])/594 - (5664880*s[54])/99 - 
       (163238365*s[55])/99 - (215559251*s[56])/594 + (51189161*s[57])/1782 - 
       (1575393503*s[58])/2673 + (1757624549*s[59])/2673 + 
       (1189845274*s[60])/297 - (4341095306*s[61])/24057 + 60*s[65] + 
       240*s[66] - 360*s[67] - (2324*s[68])/3 + 716*s[69] + 60*s[70] - 
       112*s[71] - 500*s[72] - 3004*s[73] + 405*s[74] - 405*s[75] - 
       (6388*s[76])/3 - 730*s[77] + 1576*s[78] + (7144*s[79])/3 + 
       (6482*s[80])/9 + 18680*s[82] + 216*s[83] - 48*s[84] - 464*s[85])*
      \[Zeta][2] + HPL[{0, 0, 0, 1, 1}, 1 - w]*((10813*s[2])/3 - 
       (14813*s[3])/6 + (199811*s[4])/12 + (839833*s[5])/33 + 
       (5898505*s[6])/132 + (1002415069*s[7])/2376 - (61680647*s[8])/3564 - 
       (29624209*s[9])/81 - (22182493*s[10])/162 - (1091997095*s[11])/2376 - 
       (139925000*s[12])/297 - (675866797*s[13])/2376 - 
       (218947655*s[14])/2376 - (130678499*s[15])/216 - 
       (220007072*s[16])/297 - (167794129*s[17])/264 - (15682253*s[18])/243 - 
       (87739879*s[19])/972 - (9323196019*s[20])/10692 - 
       (7176678761*s[21])/21384 + (4795659613*s[22])/21384 + 
       (185528357*s[23])/594 + (1345656008*s[24])/2673 - 
       (53645978707*s[25])/96228 + (31290913699*s[26])/96228 + 240*s[29] - 
       228*s[30] + (3656*s[31])/3 - (1756*s[32])/3 + (691*s[33])/2 - 
       (6056*s[34])/3 + 306*s[35] - (6416*s[36])/3 + (5269*s[37])/9 + 
       15892*s[38] - (90437*s[39])/2 + (100685*s[40])/2 - (244085*s[41])/6 + 
       (326603*s[42])/6 + (3946781*s[43])/66 - (3300953*s[44])/66 + 
       (13226117*s[45])/198 - (45017470*s[46])/99 - (239992*s[47])/33 + 
       (2742499*s[48])/66 - (8979934*s[49])/33 + (11982820*s[50])/33 + 
       (5820497*s[51])/198 + (260890*s[52])/11 - (151731061*s[53])/594 - 
       (5819896*s[54])/99 - (327636173*s[55])/198 - (108169285*s[56])/297 + 
       (64878665*s[57])/1782 - (3181671073*s[58])/5346 + 
       (3542025169*s[59])/5346 + (4785454219*s[60])/1188 - 
       (4362231842*s[61])/24057 - 48*s[63] + 60*s[65] + 240*s[66] - 
       360*s[67] - (2504*s[68])/3 + 760*s[69] + 84*s[70] - 112*s[71] - 
       500*s[72] - 3004*s[73] + 405*s[74] - 405*s[75] - (6436*s[76])/3 - 
       786*s[77] + 1576*s[78] + (7000*s[79])/3 + (7526*s[80])/9 + 
       18680*s[82] + 216*s[83] - 48*s[84] - 464*s[85])*\[Zeta][2] + 
     HPL[{0, 0, 0, 1, 1}, 1 - u]*((10318*s[2])/3 - (6019*s[3])/3 + 
       (42263*s[4])/3 + (134857*s[5])/6 + (232669*s[6])/6 + 
       (41070709*s[7])/108 - (2305193*s[8])/162 - (26684800*s[9])/81 - 
       (21124525*s[10])/162 - (44660159*s[11])/108 - (11341324*s[12])/27 - 
       (27240229*s[13])/108 - (9411845*s[14])/108 - (59610013*s[15])/108 - 
       (36371687*s[16])/54 - (21069019*s[17])/36 - (13259633*s[18])/243 - 
       (43655717*s[19])/486 - (385380931*s[20])/486 - (293781137*s[21])/972 + 
       (196347895*s[22])/972 + (6479717*s[23])/27 + (113704642*s[24])/243 - 
       (2185695913*s[25])/4374 + (1271422651*s[26])/4374 + 224*s[29] - 
       186*s[30] + (3104*s[31])/3 - (1894*s[32])/3 + (445*s[33])/2 - 
       (4874*s[34])/3 + 416*s[35] - (5716*s[36])/3 - (1793*s[37])/9 + 
       13624*s[38] - 35312*s[39] + (119864*s[40])/3 - (98974*s[41])/3 + 
       (118034*s[42])/3 + (1782824*s[43])/33 - (2828011*s[44])/66 + 
       (12393929*s[45])/198 - (80628863*s[46])/198 - (1364287*s[47])/99 + 
       (4651877*s[48])/99 - (24288767*s[49])/99 + (10886258*s[50])/33 + 
       (1936271*s[51])/99 + (2956907*s[52])/198 - (137738749*s[53])/594 - 
       (6314092*s[54])/99 - (149901592*s[55])/99 - (95009674*s[56])/297 - 
       (78514247*s[57])/891 - (2661299569*s[58])/5346 + 
       (1509521207*s[59])/2673 + (4384867145*s[60])/1188 - 
       (15593067491*s[61])/96228 + 48*s[63] + 84*s[65] + 400*s[66] - 
       504*s[67] - (2684*s[68])/3 + 436*s[69] + 172*s[70] - 148*s[71] - 
       680*s[72] - 2968*s[73] + 506*s[74] - 506*s[75] - (6280*s[76])/3 - 
       832*s[77] + 1324*s[78] + (4648*s[79])/3 + (8594*s[80])/9 + 
       18680*s[82] + 216*s[83] - 48*s[84] - 464*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((-617*s[2])/3 + (1447*s[3])/24 - (16953*s[4])/8 - (209419*s[5])/66 - 
       (1084593*s[6])/176 - (262998403*s[7])/4752 + (45896321*s[8])/14256 + 
       (61731253*s[9])/1296 + (11211655*s[10])/648 + (564602129*s[11])/9504 + 
       (585635551*s[12])/9504 + (19177907*s[13])/528 + (3894067*s[14])/297 + 
       (3747251*s[15])/48 + (76033979*s[16])/792 + (769624447*s[17])/9504 + 
       (19689919*s[18])/1944 + (2220727*s[19])/243 + (4971430741*s[20])/
        42768 + (236481611*s[21])/5346 - (1248486971*s[22])/42768 - 
       (49606009*s[23])/1056 - (5423867629*s[24])/85536 + 
       (55636798817*s[25])/769824 - (32798564417*s[26])/769824 - 
       (88*s[29])/3 + 25*s[30] - (239*s[31])/3 + (65*s[32])/3 - (8*s[33])/3 + 
       (229*s[34])/3 + (79*s[35])/3 + (917*s[36])/9 - (2251*s[37])/36 - 
       (6975*s[38])/4 + (103613*s[39])/16 - (1071773*s[40])/144 + 
       (288245*s[41])/48 - (1281589*s[42])/144 - (11335375*s[43])/1584 + 
       (21453791*s[44])/3168 - (15442411*s[45])/1584 + (52966777*s[46])/792 - 
       (6688597*s[47])/9504 - (35164627*s[48])/9504 + 
       (305594089*s[49])/9504 - (20823427*s[50])/396 - 
       (56757581*s[51])/9504 - (43894949*s[52])/9504 + 
       (44087251*s[53])/1188 + (1234177*s[54])/792 + (761584709*s[55])/3168 + 
       (64324739*s[56])/1056 - (13625221*s[57])/594 + 
       (2690396281*s[58])/28512 - (2789370985*s[59])/28512 - 
       (32418371905*s[60])/57024 + (1307020823*s[61])/42768 - 7*s[65] - 
       28*s[66] + (124*s[67])/3 + (187*s[68])/6 + (193*s[69])/6 - 
       (50*s[70])/3 + 13*s[71] + (64*s[72])/3 + (167*s[73])/3 - 
       (119*s[74])/12 + (119*s[75])/12 + (289*s[76])/3 + (83*s[77])/6 - 
       (98*s[78])/3 - 624*s[79] + (826*s[80])/9 - (5641*s[82])/2 + 
       (9*s[83])/2 - 279*s[84] - 446*s[85])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*((-3701*s[2])/6 + 
       (3985*s[3])/12 - (45505*s[4])/24 - (840761*s[5])/132 - 
       (2843461*s[6])/264 - (136932643*s[7])/1584 + (19370561*s[8])/7128 + 
       (24576713*s[9])/324 + (9349759*s[10])/324 + (439246229*s[11])/4752 + 
       (109760059*s[12])/1188 + (261012611*s[13])/4752 + 
       (135251705*s[14])/4752 + (53925007*s[15])/432 + 
       (360195289*s[16])/2376 + (642363107*s[17])/4752 + 
       (8008565*s[18])/486 + (28072741*s[19])/1944 + (4002145333*s[20])/
        21384 + (3267464759*s[21])/42768 - (1953637207*s[22])/42768 - 
       (134908445*s[23])/2376 - (2155003949*s[24])/21384 + 
       (20670843241*s[25])/192456 - (13238491609*s[26])/192456 - 
       (260*s[29])/3 + 51*s[30] - 190*s[31] + (230*s[32])/3 + (232*s[33])/3 + 
       243*s[34] - (257*s[35])/3 + (1753*s[36])/9 - (1943*s[37])/18 - 
       (7820*s[38])/3 + (20113*s[39])/3 - (70402*s[40])/9 + (18184*s[41])/3 - 
       (68669*s[42])/9 - (1007345*s[43])/99 + (3057809*s[44])/396 - 
       (5475097*s[45])/396 + (3685659*s[46])/44 + (2174873*s[47])/1188 - 
       (10182967*s[48])/1188 + (50204383*s[49])/1188 - (12697435*s[50])/198 - 
       (5057273*s[51])/1188 - (4997849*s[52])/1188 + (18269263*s[53])/396 + 
       (157384*s[54])/33 + (30412543*s[55])/99 + (91683701*s[56])/1188 - 
       (12831443*s[57])/3564 + (1202228635*s[58])/10692 - 
       (643654739*s[59])/5346 - (650400767*s[60])/891 + 
       (7360821671*s[61])/192456 - (61*s[65])/3 - (286*s[66])/3 + 
       (370*s[67])/3 + 160*s[68] + (76*s[69])/3 - (146*s[70])/3 + 
       (121*s[71])/3 + (418*s[72])/3 + (1054*s[73])/3 - (239*s[74])/2 + 
       (239*s[75])/2 + 364*s[76] + (379*s[77])/3 - (494*s[78])/3 - 
       (1408*s[79])/3 + (37*s[80])/9 - 3380*s[82] - 11*s[83] - 26*s[84] - 
       432*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*((-994*s[2])/9 - (4663*s[3])/18 - (175283*s[4])/36 - 
       (326281*s[5])/99 - (26964065*s[6])/3168 - (138276763*s[7])/1782 + 
       (546756559*s[8])/85536 + (506651219*s[9])/7776 + 
       (40433659*s[10])/1944 + (4872591085*s[11])/57024 + 
       (5325594437*s[12])/57024 + (1597522429*s[13])/28512 + 
       (255915233*s[14])/28512 + (134238001*s[15])/1296 + 
       (1877298017*s[16])/14256 + (71633377*s[17])/704 + 
       (320697835*s[18])/23328 + (291751889*s[19])/23328 + 
       (1231680370*s[20])/8019 + (14173847603*s[21])/256608 - 
       (5219806151*s[22])/128304 - (5077183171*s[23])/57024 - 
       (43941908819*s[24])/513216 + (503816664415*s[25])/4618944 - 
       (274339824835*s[26])/4618944 + (40*s[29])/3 - 8*s[30] - 
       (167*s[31])/9 + (535*s[32])/36 - (127*s[33])/12 + (847*s[34])/18 + 
       32*s[35] + (637*s[36])/3 - (8819*s[37])/54 - (10903*s[38])/4 + 
       (518567*s[39])/48 - (1737109*s[40])/144 + (171563*s[41])/18 - 
       (245409*s[42])/16 - (5337097*s[43])/528 + (2735545*s[44])/264 - 
       (55234453*s[45])/4752 + (212246957*s[46])/2376 - 
       (14010127*s[47])/4752 - (749245*s[48])/297 + (219729859*s[49])/4752 - 
       (3045925*s[50])/44 - (4062131*s[51])/396 - (38847923*s[52])/4752 + 
       (344004379*s[53])/7128 + (1019405*s[54])/2376 + 
       (1453335823*s[55])/4752 + (559352261*s[56])/7128 - 
       (1435469399*s[57])/21384 + (8670921703*s[58])/64152 - 
       (8898046243*s[59])/64152 - (7026202445*s[60])/9504 + 
       (44805425921*s[61])/1154736 + (10*s[65])/3 + (40*s[66])/3 - 20*s[67] + 
       (313*s[68])/18 - (149*s[69])/2 - (89*s[70])/6 + (19*s[71])/4 - 
       (121*s[72])/3 + (280*s[73])/3 + 35*s[74] - 35*s[75] + (616*s[76])/9 + 
       (121*s[77])/2 - (619*s[78])/6 - (7018*s[79])/9 + (9419*s[80])/54 - 
       (4738*s[82])/3 + (3*s[83])/2 - 297*s[84] - (1286*s[85])/3)*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*
      (51*s[2] - (575*s[3])/2 - (5797*s[4])/4 - (14499*s[5])/11 - 
       (154875*s[6])/44 - (20433817*s[7])/792 + (845995*s[8])/396 + 
       (392569*s[9])/18 + (109763*s[10])/18 + (7442309*s[11])/264 + 
       (1027429*s[12])/33 + (14652053*s[13])/792 + (1248641*s[14])/264 + 
       (2378491*s[15])/72 + (4201969*s[16])/99 + (25487725*s[17])/792 + 
       (345955*s[18])/54 + (177133*s[19])/108 + (62224309*s[20])/1188 + 
       (5344159*s[21])/264 - (31726235*s[22])/2376 - (6943315*s[23])/198 - 
       (7492816*s[24])/297 + (31299670*s[25])/891 - (18535960*s[26])/891 + 
       20*s[29] - 18*s[30] - 20*s[32] - 39*s[33] - 14*s[34] - 38*s[35] - 
       (142*s[36])/3 - (298*s[37])/3 - 864*s[38] + 3278*s[39] - 
       (11384*s[40])/3 + 2764*s[41] - (14119*s[42])/3 - (95962*s[43])/33 + 
       (382147*s[44])/132 - (142849*s[45])/33 + (964937*s[46])/33 - 
       (575567*s[47])/396 - (176927*s[48])/396 + (4551413*s[49])/396 - 
       (684955*s[50])/33 - (1387387*s[51])/396 - (1310275*s[52])/396 + 
       (2898485*s[53])/198 - (123949*s[54])/33 + (12705545*s[55])/132 + 
       (4049437*s[56])/132 - (728037*s[57])/22 + (58665751*s[58])/1188 - 
       (56098795*s[59])/1188 - (544808579*s[60])/2376 + 
       (40169555*s[61])/2673 - 2*s[65] - 4*s[66] + 12*s[67] - 20*s[68] + 
       40*s[69] + 32*s[70] + 10*s[71] - 12*s[72] - 52*s[73] + 5*s[74] - 
       5*s[75] + 24*s[76] - 62*s[77] - 16*s[78] - 328*s[79] + (424*s[80])/3 - 
       416*s[82] + 6*s[83] - 108*s[84] - 400*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*(155*s[2] - (385*s[3])/2 - 
       (2939*s[4])/4 - (9061*s[5])/22 - (69599*s[6])/44 - 
       (2649313*s[7])/264 + (46395*s[8])/44 + 8373*s[9] + 1927*s[10] + 
       (964301*s[11])/88 + (139515*s[12])/11 + (1955933*s[13])/264 + 
       (162977*s[14])/88 + (279415*s[15])/24 + (509200*s[16])/33 + 
       (2791201*s[17])/264 + (28957*s[18])/9 - (12031*s[19])/36 + 
       (7929821*s[20])/396 + (6055595*s[21])/792 - (1339169*s[22])/264 - 
       (583139*s[23])/33 - (186203*s[24])/22 + (49462267*s[25])/3564 - 
       (29604667*s[26])/3564 - 14*s[30] + 24*s[31] - 36*s[32] + 26*s[33] - 
       94*s[34] - 42*s[35] - 154*s[36] - 7*s[37] - 334*s[38] + 916*s[39] - 
       1266*s[40] + 885*s[41] - 1206*s[42] - (11920*s[43])/11 + 
       (38371*s[44])/44 - (59313*s[45])/22 + (316131*s[46])/22 - 
       (16469*s[47])/44 - (39349*s[48])/44 + (133887*s[49])/44 - 
       (106659*s[50])/11 - (171503*s[51])/132 - (60921*s[52])/44 + 
       (75664*s[53])/11 - (38942*s[54])/11 + (6456871*s[55])/132 + 
       (803465*s[56])/44 - (796051*s[57])/66 + (9542425*s[58])/396 - 
       (8522491*s[59])/396 - (29702839*s[60])/264 + (31825231*s[61])/3564 + 
       8*s[63] - 6*s[65] - 20*s[66] + 36*s[67] - 12*s[68] + 72*s[69] + 
       20*s[70] + 14*s[71] + 12*s[72] + 12*s[73] - 13*s[74] + 13*s[75] + 
       4*s[76] - 50*s[77] + 56*s[78] - 336*s[79] + 214*s[80] - 416*s[82] + 
       6*s[83] - 108*s[84] - 400*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      ((1252*s[2])/3 - (41*s[3])/6 + (56081*s[4])/12 + (336643*s[5])/132 + 
       (980467*s[6])/132 + (20386055*s[7])/297 - (18971219*s[8])/3564 - 
       (18477649*s[9])/324 - (6313085*s[10])/324 - (180786893*s[11])/2376 - 
       (195904843*s[12])/2376 - (29728915*s[13])/594 - (7521193*s[14])/1188 - 
       (2527372*s[15])/27 - (140915201*s[16])/1188 - (74315693*s[17])/792 - 
       (4726603*s[18])/486 - (3579445*s[19])/243 - (710411651*s[20])/5346 - 
       (497152873*s[21])/10692 + (191858965*s[22])/5346 + 
       (170061491*s[23])/2376 + (1703651911*s[24])/21384 - 
       (18858707771*s[25])/192456 + (9930458165*s[26])/192456 - 16*s[29] + 
       9*s[30] + (314*s[31])/3 - (295*s[32])/3 + (137*s[33])/4 - 
       (545*s[34])/3 + (116*s[35])/3 - (932*s[36])/3 + (625*s[37])/9 + 
       2440*s[38] - (115331*s[39])/12 + (128531*s[40])/12 - 
       (103613*s[41])/12 + (159191*s[42])/12 + (1320017*s[43])/132 - 
       (2632669*s[44])/264 + (3585049*s[45])/396 - (7511056*s[46])/99 + 
       (327617*s[47])/264 + (1082855*s[48])/264 - (12311597*s[49])/264 + 
       (1973381*s[50])/33 + (6348071*s[51])/792 + (528343*s[52])/88 - 
       (24779731*s[53])/594 - (922349*s[54])/198 - (205887941*s[55])/792 - 
       (142652267*s[56])/2376 + (38754724*s[57])/891 - 
       (2302850971*s[58])/21384 + (2479093687*s[59])/21384 + 
       (3057526159*s[60])/4752 - (2830902155*s[61])/96228 - 4*s[65] - 
       16*s[66] + 24*s[67] - (296*s[68])/3 + 244*s[69] - 12*s[70] - 
       460*s[73] - (20*s[74])/3 + (20*s[75])/3 - (692*s[76])/3 - 
       (412*s[77])/3 + 340*s[78] + (2200*s[79])/3 - (2086*s[80])/9 + 
       638*s[82] + (93*s[83])/2 - 3*s[84] - 384*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*((862*s[2])/3 - (577*s[3])/3 + 
       (5551*s[4])/6 + (1915*s[5])/6 - (412*s[6])/3 + (839153*s[7])/54 - 
       (89849*s[8])/162 - (1035073*s[9])/81 - (663344*s[10])/81 - 
       (887497*s[11])/54 - (396940*s[12])/27 - (458273*s[13])/54 - 
       (43309*s[14])/54 - (786481*s[15])/27 - (1740863*s[16])/54 - 
       (287584*s[17])/9 + (509740*s[18])/243 - (4999625*s[19])/486 - 
       (7752869*s[20])/243 - (4220965*s[21])/486 + (4045145*s[22])/486 - 
       (340043*s[23])/54 + (13469435*s[24])/486 - (187276415*s[25])/8748 + 
       (79610261*s[26])/8748 - 4*s[29] - 32*s[30] + (80*s[31])/3 - 
       (232*s[32])/3 + 83*s[33] - (392*s[34])/3 - 116*s[35] - 323*s[36] - 
       (2000*s[37])/9 + 413*s[38] - (6865*s[39])/4 + (21079*s[40])/12 - 
       (26053*s[41])/12 + (7971*s[42])/4 + (142311*s[43])/44 - 
       (261683*s[44])/88 + (351335*s[45])/198 - (7526587*s[46])/396 - 
       (1635445*s[47])/792 + (2618717*s[48])/792 - (15030593*s[49])/792 + 
       (227680*s[50])/11 + (82939*s[51])/264 - (1006673*s[52])/792 - 
       (8580733*s[53])/594 - (1181080*s[54])/99 - (68305733*s[55])/792 - 
       (8719577*s[56])/2376 - (39152768*s[57])/891 - (166874131*s[58])/
        21384 + (415368577*s[59])/21384 + (330577229*s[60])/1584 - 
       (586446019*s[61])/192456 - (296*s[68])/3 + 168*s[69] + 28*s[70] + 
       14*s[71] - 24*s[72] - 214*s[73] + 6*s[74] - 6*s[75] - (88*s[76])/3 - 
       100*s[77] + 34*s[78] - (596*s[79])/3 + (2510*s[80])/9 + 1816*s[82] - 
       3*s[83] + 42*s[84] - 376*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((56*s[2])/3 - (1237*s[3])/24 - (13879*s[4])/4 - (1204991*s[5])/528 - 
       (1747171*s[6])/264 - (9201585*s[7])/176 + (65285177*s[8])/14256 + 
       (14293651*s[9])/324 + (7430401*s[10])/648 + (553671617*s[11])/9504 + 
       (623843635*s[12])/9504 + (11926297*s[13])/297 + (3070385*s[14])/594 + 
       (27975527*s[15])/432 + (25197001*s[16])/297 + (577649513*s[17])/9504 + 
       (43632569*s[18])/3888 + (18230215*s[19])/3888 + 
       (4312281049*s[20])/42768 + (1593864337*s[21])/42768 - 
       (293749535*s[22])/10692 - (698161213*s[23])/9504 - 
       (4475267113*s[24])/85536 + (57612513791*s[25])/769824 - 
       (31709965313*s[26])/769824 - (37*s[29])/6 - (103*s[30])/4 - 48*s[31] - 
       (89*s[32])/6 + (851*s[33])/48 + (407*s[34])/12 - (14*s[35])/3 + 
       (1049*s[36])/18 - (6287*s[37])/24 - (27277*s[38])/12 + 
       (101645*s[39])/12 - (342409*s[40])/36 + (86111*s[41])/12 - 
       (1751195*s[42])/144 - (2802995*s[43])/396 + (1469569*s[44])/198 - 
       (1511281*s[45])/176 + (103145111*s[46])/1584 - (16102855*s[47])/4752 - 
       (2759899*s[48])/4752 + (8977975*s[49])/297 - (37715875*s[50])/792 - 
       (10409717*s[51])/1188 - (4570957*s[52])/594 + (155791657*s[53])/4752 - 
       (4335785*s[54])/792 + (20842177*s[55])/99 + (18680764*s[56])/297 - 
       (1144727845*s[57])/14256 + (1168429523*s[58])/10692 - 
       (4557932759*s[59])/42768 - (14706103483*s[60])/28512 + 
       (23066687569*s[61])/769824 - s[65]/4 - 3*s[66] + (20*s[67])/3 - 
       35*s[68] + (211*s[69])/3 + (8*s[70])/3 + (57*s[71])/4 - (89*s[72])/3 - 
       (92*s[73])/3 + (109*s[74])/3 - (109*s[75])/3 + (271*s[76])/3 - 
       (77*s[77])/3 - (221*s[78])/6 - (2830*s[79])/3 + (1029*s[80])/4 - 
       340*s[82] - (83*s[83])/4 - (879*s[84])/2 - 372*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      ((-331*s[2])/6 - (809*s[3])/6 - (13637*s[4])/6 - (241433*s[5])/132 - 
       (586049*s[6])/132 - (95984591*s[7])/2376 + (10997257*s[8])/3564 + 
       (11056619*s[9])/324 + (3731785*s[10])/324 + (104413051*s[11])/2376 + 
       (14023390*s[12])/297 + (66513989*s[13])/2376 + (15549763*s[14])/2376 + 
       (11930245*s[15])/216 + (82313857*s[16])/1188 + (43838977*s[17])/792 + 
       (1773433*s[18])/243 + (6332687*s[19])/972 + (438993205*s[20])/5346 + 
       (638419207*s[21])/21384 - (453228437*s[22])/21384 - 
       (25142797*s[23])/594 - (483088489*s[24])/10692 + 
       (5322397757*s[25])/96228 - (742370660*s[26])/24057 - 4*s[29] - 
       3*s[30] - (49*s[31])/3 + (20*s[32])/3 - 2*s[33] + (25*s[34])/3 + 
       (41*s[35])/6 + (325*s[36])/4 - (751*s[37])/18 - (4929*s[38])/4 + 
       (245129*s[39])/48 - (279949*s[40])/48 + (75317*s[41])/16 - 
       (351043*s[42])/48 - (2611351*s[43])/528 + (5478545*s[44])/1056 - 
       (5017081*s[45])/792 + (74189501*s[46])/1584 - (3695077*s[47])/3168 - 
       (5652571*s[48])/3168 + (72712951*s[49])/3168 - (9714755*s[50])/264 - 
       (5266453*s[51])/1056 - (11860955*s[52])/3168 + (30544909*s[53])/1188 + 
       (332749*s[54])/792 + (522045475*s[55])/3168 + (401273179*s[56])/9504 - 
       (93780827*s[57])/3564 + (5870167625*s[58])/85536 - 
       (6025714787*s[59])/85536 - (2484797207*s[60])/6336 + 
       (16208695643*s[61])/769824 - s[65] - 4*s[66] + 6*s[67] + 
       (25*s[68])/3 - 4*s[70] + (7*s[71])/2 - 18*s[72] + (17*s[73])/2 + 
       (109*s[74])/6 - (109*s[75])/6 + 18*s[76] + (49*s[77])/3 - 
       (35*s[78])/2 - (1544*s[79])/3 + (1115*s[80])/9 - 1726*s[82] - 
       232*s[84] - 368*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*((-499*s[2])/2 + (253*s[3])/4 - (19155*s[4])/8 - 
       (560919*s[5])/176 - (294331*s[6])/44 - (176964593*s[7])/3168 + 
       (7554113*s[8])/2376 + (20748851*s[9])/432 + (7088275*s[10])/432 + 
       (48486043*s[11])/792 + (205697621*s[12])/3168 + 
       (123727991*s[13])/3168 + (37694311*s[14])/3168 + 
       (21771295*s[15])/288 + (37821793*s[16])/396 + (20536253*s[17])/264 + 
       (3491149*s[18])/324 + (10960133*s[19])/1296 + (1638325919*s[20])/
        14256 + (1270474621*s[21])/28512 - (841260491*s[22])/28512 - 
       (170747623*s[23])/3168 - (1771935383*s[24])/28512 + 
       (19174770931*s[25])/256608 - (11294943169*s[26])/256608 - 26*s[29] + 
       (77*s[30])/4 - (163*s[31])/2 + (65*s[32])/2 + (583*s[33])/16 + 
       (493*s[34])/4 - (129*s[35])/2 + (527*s[36])/12 - (452*s[37])/3 - 
       1908*s[38] + 6135*s[39] - (84977*s[40])/12 + (43201*s[41])/8 - 
       (95839*s[42])/12 - (934363*s[43])/132 + (423173*s[44])/66 - 
       (4773719*s[45])/528 + (10724787*s[46])/176 - (714641*s[47])/1584 - 
       (6735557*s[48])/1584 + (3046580*s[49])/99 - (6108775*s[50])/132 - 
       (2012575*s[51])/396 - (3527219*s[52])/792 + (17070025*s[53])/528 + 
       (109839*s[54])/88 + (37263225*s[55])/176 + (44485301*s[56])/792 - 
       (75914669*s[57])/2376 + (1277204933*s[58])/14256 - 
       (328015319*s[59])/3564 - (4900338071*s[60])/9504 + 
       (7055328679*s[61])/256608 - 6*s[65] - 24*s[66] + 36*s[67] + 50*s[68] - 
       6*s[69] - (35*s[70])/2 + (23*s[71])/2 + 33*s[72] + 188*s[73] - 
       36*s[74] + 36*s[75] + 161*s[76] + (107*s[77])/2 - (199*s[78])/2 - 
       671*s[79] + (1417*s[80])/6 - (5833*s[82])/2 - (45*s[83])/2 - 
       105*s[84] - 366*s[85])*\[Zeta][2] + HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*((-21607*s[2])/72 - (21343*s[3])/144 - 
       (1504889*s[4])/288 - (7833767*s[5])/1584 - (33814351*s[6])/3168 - 
       (5721552535*s[7])/57024 + (587755511*s[8])/85536 + 
       (82769117*s[9])/972 + (115447417*s[10])/3888 + 
       (6256638407*s[11])/57024 + (3336171935*s[12])/28512 + 
       (3979520263*s[13])/57024 + (944157941*s[14])/57024 + 
       (717448769*s[15])/5184 + (2468236147*s[16])/14256 + 
       (887540125*s[17])/6336 + (197619709*s[18])/11664 + 
       (432017431*s[19])/23328 + (52353889003*s[20])/256608 + 
       (38568831407*s[21])/513216 - (27088268503*s[22])/513216 - 
       (2740525273*s[23])/28512 - (29600743775*s[24])/256608 + 
       (158389272221*s[25])/1154736 - (44436419413*s[26])/577368 - 
       (25*s[29])/3 + (101*s[30])/4 - (448*s[31])/9 + (1721*s[32])/36 + 
       (1373*s[33])/24 + (3583*s[34])/36 + (65*s[35])/12 + (3641*s[36])/12 - 
       (23111*s[37])/108 - 3329*s[38] + (35665*s[39])/3 - (481769*s[40])/36 + 
       (763837*s[41])/72 - (771655*s[42])/48 - (38152*s[43])/3 + 
       (391309*s[44])/32 - (405022*s[45])/27 + (5857433*s[46])/54 - 
       (1350437*s[47])/864 - (5043413*s[48])/864 + (50337581*s[49])/864 - 
       (681779*s[50])/8 - (2969701*s[51])/288 - (7006885*s[52])/864 + 
       (77113421*s[53])/1296 + (1133645*s[54])/216 + (329860223*s[55])/864 + 
       (240565745*s[56])/2592 - (12051565*s[57])/243 + 
       (3618093805*s[58])/23328 - (3801227245*s[59])/23328 - 
       (532648987*s[60])/576 + (2436948721*s[61])/52488 - (31*s[65])/12 - 
       (25*s[66])/3 + (31*s[67])/2 + (634*s[68])/9 - 99*s[69] - 
       (211*s[70])/6 + (25*s[71])/4 + (95*s[72])/6 + (1363*s[73])/6 - 
       (187*s[74])/24 + (187*s[75])/24 + (1070*s[76])/9 + (1181*s[77])/12 - 
       (343*s[78])/3 - (7064*s[79])/9 + (8341*s[80])/54 - (9326*s[82])/3 - 
       (45*s[83])/4 - (399*s[84])/2 - (1054*s[85])/3)*\[Zeta][2] + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*((-2311*s[2])/9 - 
       (12031*s[3])/72 - (165107*s[4])/36 - (5519545*s[5])/1584 - 
       (6642497*s[6])/792 - (1146564197*s[7])/14256 + (61885127*s[8])/10692 + 
       (263448031*s[9])/3888 + (92435387*s[10])/3888 + 
       (628888739*s[11])/7128 + (2698611139*s[12])/28512 + 
       (1619293633*s[13])/28512 + (322094105*s[14])/28512 + 
       (143261101*s[15])/1296 + (3960526507*s[16])/28512 + 
       (528678305*s[17])/4752 + (148252373*s[18])/11664 + 
       (91897037*s[19])/5832 + (5179344757*s[20])/32076 + 
       (14885481599*s[21])/256608 - (10849935973*s[22])/256608 - 
       (1118408605*s[23])/14256 - (5981060005*s[24])/64152 + 
       (257638117367*s[25])/2309472 - (140759887853*s[26])/2309472 + 
       (19*s[29])/6 + (69*s[30])/4 - (614*s[31])/9 + (731*s[32])/18 - 
       (937*s[33])/48 + (3617*s[34])/36 + (55*s[35])/3 + (788*s[36])/3 - 
       (46811*s[37])/216 - (31631*s[38])/12 + (223303*s[39])/24 - 
       (753221*s[40])/72 + (598259*s[41])/72 - (603047*s[42])/48 - 
       (2626549*s[43])/264 + (3368227*s[44])/352 - (54984139*s[45])/4752 + 
       (400881967*s[46])/4752 - (10878419*s[47])/9504 - 
       (42587855*s[48])/9504 + (436619783*s[49])/9504 - 
       (17648129*s[50])/264 - (8443981*s[51])/1056 - (59064679*s[52])/9504 + 
       (82801267*s[53])/1782 + (1481257*s[54])/297 + (2831555915*s[55])/
        9504 + (2036429987*s[56])/28512 - (1603120033*s[57])/42768 + 
       (30813616939*s[58])/256608 - (32554058809*s[59])/256608 - 
       (13743981541*s[60])/19008 + (82268902369*s[61])/2309472 - 8*s[63] - 
       (19*s[65])/12 - (25*s[66])/3 + 4*s[67] + (419*s[68])/9 - 
       (217*s[69])/3 - (70*s[70])/3 + (11*s[71])/12 + (17*s[72])/3 + 
       (637*s[73])/3 - (41*s[74])/6 + (41*s[75])/6 + (1111*s[76])/9 + 
       (196*s[77])/3 - (415*s[78])/6 - (6328*s[79])/9 + (13783*s[80])/108 - 
       (8788*s[82])/3 - (45*s[83])/4 - (417*s[84])/2 - (968*s[85])/3)*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((313*s[2])/6 - (3257*s[3])/12 - (7283*s[4])/48 - (21397*s[5])/24 - 
       (55825*s[6])/24 - (9191891*s[7])/864 + (268367*s[8])/648 + 
       (11984509*s[9])/1296 + (823511*s[10])/324 + (4974209*s[11])/432 + 
       (10693223*s[12])/864 + (6482729*s[13])/864 + (4456801*s[14])/864 + 
       (10900067*s[15])/864 + (926963*s[16])/54 + (499537*s[17])/36 + 
       (14795219*s[18])/3888 - (775097*s[19])/972 + (46228801*s[20])/1944 + 
       (83203165*s[21])/7776 - (42020789*s[22])/7776 - (10878187*s[23])/864 - 
       (72852947*s[24])/7776 + (906070453*s[25])/69984 - 
       (669229135*s[26])/69984 - 8*s[29] + 2*s[30] + (10*s[31])/3 - 
       (29*s[32])/3 + (265*s[33])/4 - (160*s[34])/3 - 60*s[35] - 
       (115*s[36])/2 - (190*s[37])/9 - (1197*s[38])/4 + (5063*s[39])/16 - 
       (32269*s[40])/48 + (10555*s[41])/48 - (551*s[42])/16 - 
       (219973*s[43])/176 + (226617*s[44])/352 - (5771179*s[45])/1584 + 
       (6303229*s[46])/396 + (1595635*s[47])/3168 - (7123427*s[48])/3168 + 
       (10054955*s[49])/3168 - (113408*s[50])/11 - (42443*s[51])/352 - 
       (2448577*s[52])/3168 + (18459787*s[53])/2376 - (946469*s[54])/396 + 
       (182137655*s[55])/3168 + (199056899*s[56])/9504 - 
       (22412603*s[57])/7128 + (2099069179*s[58])/85536 - 
       (1916990791*s[59])/85536 - (822098261*s[60])/6336 + 
       (3993996557*s[61])/384912 - 8*s[63] - 7*s[65] - 34*s[66] + 40*s[67] + 
       (62*s[68])/3 + 90*s[69] - 18*s[70] + 19*s[71] + 40*s[72] - 7*s[73] - 
       36*s[74] + 36*s[75] + (166*s[76])/3 + 4*s[77] + 17*s[78] - 
       (370*s[79])/3 + (1039*s[80])/9 - (1595*s[82])/2 - (15*s[83])/2 - 
       39*s[84] - 316*s[85])*\[Zeta][2] + HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((-2843*s[2])/12 - (769*s[3])/8 - 
       (32931*s[4])/8 - (137807*s[5])/44 - (617911*s[6])/88 - 
       (657209837*s[7])/9504 + (73652725*s[8])/14256 + (37803643*s[9])/648 + 
       (25545559*s[10])/1296 + (362511089*s[11])/4752 + 
       (391475371*s[12])/4752 + (117386771*s[13])/2376 + 
       (4813861*s[14])/594 + (81595177*s[15])/864 + (1129903463*s[16])/9504 + 
       (74506985*s[17])/792 + (42566689*s[18])/3888 + (26208163*s[19])/1944 + 
       (2939016865*s[20])/21384 + (2117535593*s[21])/42768 - 
       (1556802799*s[22])/42768 - (680505403*s[23])/9504 - 
       (6788324141*s[24])/85536 + (74564229445*s[25])/769824 - 
       (40518592225*s[26])/769824 + (23*s[29])/3 - (5*s[30])/4 - 
       (124*s[31])/3 + (191*s[32])/4 + (791*s[33])/48 + (1327*s[34])/12 + 
       35*s[35] + (3553*s[36])/12 - (15587*s[37])/72 - (31057*s[38])/12 + 
       (144605*s[39])/16 - (481795*s[40])/48 + (379841*s[41])/48 - 
       (581005*s[42])/48 - (1689139*s[43])/176 + (1212463*s[44])/132 - 
       (18024163*s[45])/1584 + (64900355*s[46])/792 - (241009*s[47])/198 - 
       (6451217*s[48])/1584 + (17600555*s[49])/396 - (5691291*s[50])/88 - 
       (1344733*s[51])/176 - (9449659*s[52])/1584 + (215142563*s[53])/4752 + 
       (2066215*s[54])/396 + (114735631*s[55])/396 + (82204993*s[56])/1188 - 
       (257717303*s[57])/7128 + (1247099903*s[58])/10692 - 
       (659195203*s[59])/5346 - (6657578077*s[60])/9504 + 
       (3335911409*s[61])/96228 + 8*s[63] - (19*s[65])/12 - s[66]/3 + 
       (15*s[67])/2 + (178*s[68])/3 - (281*s[69])/3 - 17*s[70] + 
       (13*s[71])/12 + 12*s[72] + 269*s[73] - (13*s[74])/2 + (13*s[75])/2 + 
       145*s[76] + 58*s[77] - 159*s[78] - 521*s[79] + (1975*s[80])/36 - 
       2967*s[82] - (45*s[83])/4 - (363*s[84])/2 - 302*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      (70*s[2] - (651*s[3])/2 - (18163*s[4])/16 - (32097*s[5])/88 - 
       (80797*s[6])/44 - (14601263*s[7])/1056 + (664285*s[8])/396 + 
       (1578653*s[9])/144 + (62279*s[10])/18 + (3961729*s[11])/264 + 
       (17796905*s[12])/1056 + (10216001*s[13])/1056 + (1619773*s[14])/1056 + 
       (1724957*s[15])/96 + (773002*s[16])/33 + (3115127*s[17])/176 + 
       (1346515*s[18])/432 + (322153*s[19])/216 + (16311787*s[20])/594 + 
       (90742813*s[21])/9504 - (65755205*s[22])/9504 - 
       (21186565*s[23])/1056 - (133896341*s[24])/9504 + 
       (1667113123*s[25])/85536 - (909671089*s[26])/85536 + 24*s[29] - 
       9*s[30] + 56*s[31] - 2*s[32] + (117*s[33])/4 - 99*s[34] + 16*s[35] - 
       (127*s[36])/6 + (43*s[37])/2 - (379*s[38])/4 + (22987*s[39])/16 - 
       (83977*s[40])/48 + (20989*s[41])/16 - (121625*s[42])/48 - 
       (402059*s[43])/528 + (1361479*s[44])/1056 - (304503*s[45])/176 + 
       (1701839*s[46])/132 - (3805457*s[47])/3168 + (2090257*s[48])/3168 + 
       (10133111*s[49])/3168 - (306908*s[50])/33 - (6527791*s[51])/3168 - 
       (5374165*s[52])/3168 + (5248385*s[53])/792 - (394969*s[54])/132 + 
       (44977793*s[55])/1056 + (47559605*s[56])/3168 - 
       (43978349*s[57])/2376 + (661281661*s[58])/28512 - 
       (596601073*s[59])/28512 - (1779938411*s[60])/19008 + 
       (975834851*s[61])/128304 + 4*s[65] + 12*s[66] - 24*s[67] - 22*s[68] - 
       10*s[70] - 2*s[71] - 32*s[72] - 95*s[73] + 28*s[74] - 28*s[75] - 
       90*s[76] + 22*s[77] + 61*s[78] - 154*s[79] + 174*s[80] - 4*s[82] + 
       (3*s[83])/2 - 117*s[84] - 292*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-20047*s[2])/72 - (51031*s[3])/144 - (2044865*s[4])/288 - 
       (6961115*s[5])/1584 - (35320999*s[6])/3168 - (6240382231*s[7])/57024 + 
       (768355535*s[8])/85536 + (89040545*s[9])/972 + 
       (117377797*s[10])/3888 + (6904224599*s[11])/57024 + 
       (3774237299*s[12])/28512 + (4531677583*s[13])/57024 + 
       (597374669*s[14])/57024 + (764306033*s[15])/5184 + 
       (2669950297*s[16])/14256 + (2752877575*s[17])/19008 + 
       (202320397*s[18])/11664 + (487407559*s[19])/23328 + 
       (55242757051*s[20])/256608 + (38776148759*s[21])/513216 - 
       (29493717967*s[22])/513216 - (3406110457*s[23])/28512 - 
       (32012420471*s[24])/256608 + (179780600069*s[25])/1154736 - 
       (47745161707*s[26])/577368 + (83*s[29])/3 - (35*s[30])/4 - 
       (442*s[31])/9 + (2213*s[32])/36 - (189*s[33])/8 + (4255*s[34])/36 + 
       (829*s[35])/12 + (4969*s[36])/12 - (35039*s[37])/108 - 
       (11797*s[38])/3 + (44654*s[39])/3 - (590189*s[40])/36 + 
       (927481*s[41])/72 - (332321*s[42])/16 - (460355*s[43])/33 + 
       (5031819*s[44])/352 - (8845537*s[45])/594 + (34837580*s[46])/297 - 
       (36220147*s[47])/9504 - (31648195*s[48])/9504 + 
       (620685691*s[49])/9504 - (8078709*s[50])/88 - (4807659*s[51])/352 - 
       (101008979*s[52])/9504 + (905663731*s[53])/14256 + 
       (9649699*s[54])/2376 + (3802676689*s[55])/9504 + 
       (2781756487*s[56])/28512 - (926463209*s[57])/10692 + 
       (45065852963*s[58])/256608 - (46886498819*s[59])/256608 - 
       (691269397*s[60])/704 + (27928848335*s[61])/577368 + 8*s[63] + 
       (77*s[65])/12 + (59*s[66])/3 - (73*s[67])/2 + (292*s[68])/9 - 
       159*s[69] - (151*s[70])/6 - (27*s[71])/4 - (67*s[72])/2 + 
       (593*s[73])/2 + (997*s[74])/24 - (997*s[75])/24 + (1262*s[76])/9 + 
       (1237*s[77])/12 - (619*s[78])/3 - (7976*s[79])/9 + (8617*s[80])/54 - 
       (9074*s[82])/3 - (99*s[83])/4 - (741*s[84])/2 - (790*s[85])/3)*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*
      ((-361*s[2])/6 + (367*s[3])/4 - (41723*s[4])/24 - (214149*s[5])/88 - 
       (56391*s[6])/11 - (193595947*s[7])/4752 + (4783169*s[8])/1782 + 
       (22774765*s[9])/648 + (7042019*s[10])/648 + (209660987*s[11])/4752 + 
       (55925269*s[12])/1188 + (133831537*s[13])/4752 + 
       (43429607*s[14])/4752 + (23524079*s[15])/432 + 
       (162410111*s[16])/2376 + (86639473*s[17])/1584 + 
       (17207675*s[18])/1944 + (7886005*s[19])/1944 + 
       (1800238141*s[20])/21384 + (1404840455*s[21])/42768 - 
       (919506433*s[22])/42768 - (26015611*s[23])/594 - 
       (459020473*s[24])/10692 + (20757539621*s[25])/384912 - 
       (12419695505*s[26])/384912 - 12*s[29] + 7*s[30] - 43*s[31] - 
       (13*s[32])/2 - (49*s[33])/12 + (160*s[34])/3 + (77*s[35])/3 + 
       (1169*s[36])/18 - (442*s[37])/3 - (7937*s[38])/6 + (123767*s[39])/24 - 
       (418025*s[40])/72 + (36575*s[41])/8 - (534577*s[42])/72 - 
       (3921019*s[43])/792 + (7532693*s[44])/1584 - (842789*s[45])/132 + 
       (36563023*s[46])/792 - (7605175*s[47])/4752 - (5483077*s[48])/4752 + 
       (98924569*s[49])/4752 - (3415421*s[50])/99 - (24345389*s[51])/4752 - 
       (21061247*s[52])/4752 + (58400477*s[53])/2376 - (1049941*s[54])/396 + 
       (83506669*s[55])/528 + (212105683*s[56])/4752 - 
       (65392211*s[57])/1782 + (3067538645*s[58])/42768 - 
       (3075116987*s[59])/42768 - (10637933287*s[60])/28512 + 
       (8317924301*s[61])/384912 - (13*s[65])/3 - (52*s[66])/3 + 
       (68*s[67])/3 - (11*s[68])/3 + (146*s[69])/3 - (31*s[70])/3 + 
       (77*s[71])/6 - (10*s[72])/3 - 26*s[73] + 8*s[74] - 8*s[75] + 
       52*s[76] - (7*s[77])/3 - (61*s[78])/3 - 434*s[79] + (241*s[80])/3 - 
       34*s[82] + 16*s[83] - 240*s[84] - 248*s[85])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*((-1367*s[2])/3 + 419*s[3] - 
       (10799*s[4])/6 - (207065*s[5])/44 - (160741*s[6])/22 - 
       (157486379*s[7])/2376 + (2052595*s[8])/891 + (4715051*s[9])/81 + 
       (7145323*s[10])/324 + (169414561*s[11])/2376 + 
       (170901527*s[12])/2376 + (12730273*s[13])/297 + (11072251*s[14])/594 + 
       (20706223*s[15])/216 + (275406671*s[16])/2376 + (80517313*s[17])/792 + 
       (5799845*s[18])/486 + (11817053*s[19])/972 + (1510555253*s[20])/
        10692 + (151547126*s[21])/2673 - (376444909*s[22])/10692 - 
       (55309817*s[23])/1188 - (207537610*s[24])/2673 + 
       (8092716035*s[25])/96228 - (1254759452*s[26])/24057 - 64*s[29] + 
       74*s[30] - 206*s[31] + 28*s[32] + (11*s[33])/3 + (796*s[34])/3 - 
       (262*s[35])/3 + (2266*s[36])/9 - 183*s[37] - (7318*s[38])/3 + 
       (16189*s[39])/3 - (55153*s[40])/9 + (9615*s[41])/2 - 
       (202319*s[42])/36 - (858095*s[43])/99 + (4989859*s[44])/792 - 
       (392548*s[45])/33 + (6940055*s[46])/99 + (5088511*s[47])/2376 - 
       (18020993*s[48])/2376 + (87107837*s[49])/2376 - (5415083*s[50])/99 - 
       (6913471*s[51])/2376 - (6858595*s[52])/2376 + (46716247*s[53])/1188 + 
       (1371619*s[54])/198 + (23200583*s[55])/88 + (149080631*s[56])/2376 + 
       (32909639*s[57])/3564 + (1940034889*s[58])/21384 - 
       (2134642537*s[59])/21384 - (8908960319*s[60])/14256 + 
       (2984523899*s[61])/96228 - 4*s[63] - (64*s[65])/3 - (310*s[66])/3 + 
       (380*s[67])/3 + (316*s[68])/3 + (200*s[69])/3 - (160*s[70])/3 + 
       (100*s[71])/3 + (416*s[72])/3 + 460*s[73] - 111*s[74] + 111*s[75] + 
       340*s[76] + (380*s[77])/3 - (448*s[78])/3 - 372*s[79] - 142*s[80] - 
       3236*s[82] - 20*s[83] - 24*s[84] - 248*s[85])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*(-687*s[2] + (1601*s[3])/6 - 
       (13129*s[4])/4 - (801347*s[5])/132 - (1414469*s[6])/132 - 
       (56705147*s[7])/594 + (835225*s[8])/198 + (993419*s[9])/12 + 
       (275513*s[10])/9 + (81625259*s[11])/792 + (9294339*s[12])/88 + 
       (74809007*s[13])/1188 + (4711277*s[14])/198 + (14673445*s[15])/108 + 
       (197367593*s[16])/1188 + (339541475*s[17])/2376 + (1369562*s[18])/81 + 
       (5646715*s[19])/324 + (713959639*s[20])/3564 + 
       (279869477*s[21])/3564 - (14970155*s[22])/297 - 
       (175667477*s[23])/2376 - (87701683*s[24])/792 + 
       (1983490603*s[25])/16038 - (2387862923*s[26])/32076 - 48*s[29] + 
       38*s[30] - (682*s[31])/3 + (284*s[32])/3 - (433*s[33])/6 + 342*s[34] - 
       (248*s[35])/3 + (3073*s[36])/9 - (574*s[37])/9 - (9713*s[38])/3 + 
       (113771*s[39])/12 - (385165*s[40])/36 + (101947*s[41])/12 - 
       (209437*s[42])/18 - (4932599*s[43])/396 + (8179711*s[44])/792 - 
       (2959145*s[45])/198 + (4371275*s[46])/44 + (2213077*s[47])/2376 - 
       (20106209*s[48])/2376 + (129179243*s[49])/2376 - 
       (15314839*s[50])/198 - (16024687*s[51])/2376 - (13995985*s[52])/2376 + 
       (21747895*s[53])/396 + (157359*s[54])/22 + (283376449*s[55])/792 + 
       (202153141*s[56])/2376 - (57931943*s[57])/3564 + 
       (2872587533*s[58])/21384 - (3098102567*s[59])/21384 - 
       (12308308541*s[60])/14256 + (8186185577*s[61])/192456 - (49*s[65])/3 - 
       (208*s[66])/3 + (302*s[67])/3 + (382*s[68])/3 - (154*s[69])/3 - 
       (112*s[70])/3 + (115*s[71])/3 + (328*s[72])/3 + (1396*s[73])/3 - 
       (254*s[74])/3 + (254*s[75])/3 + (1162*s[76])/3 + (448*s[77])/3 - 
       (850*s[78])/3 - (1420*s[79])/3 - (896*s[80])/9 - 3236*s[82] - 
       20*s[83] - 24*s[84] - 248*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      (-48*s[2] + (73*s[3])/3 + (2261*s[4])/12 - (35951*s[5])/33 - 
       (35731*s[6])/22 - (935227*s[7])/88 + (38255*s[8])/297 + 
       (1050139*s[9])/108 + (94673*s[10])/27 + (2210009*s[11])/198 + 
       (8760205*s[12])/792 + (5050505*s[13])/792 + (4420949*s[14])/792 + 
       (1030225*s[15])/72 + (1764193*s[16])/99 + (6341593*s[17])/396 + 
       (1070801*s[18])/324 + (13423*s[19])/81 + (44413727*s[20])/1782 + 
       (80719817*s[21])/7128 - (40191157*s[22])/7128 - (5769289*s[23])/792 - 
       (76654789*s[24])/7128 + (756627875*s[25])/64152 - 
       (586155401*s[26])/64152 - 16*s[29] + 10*s[30] - 24*s[31] - 
       (32*s[32])/3 + (27*s[33])/2 + 10*s[34] - 36*s[35] - (220*s[36])/3 - 
       57*s[37] - (884*s[38])/3 + (3535*s[39])/12 - (1757*s[40])/4 + 
       (581*s[41])/4 - (117*s[42])/4 - (103949*s[43])/132 + 
       (94951*s[44])/264 - (318193*s[45])/132 + (695009*s[46])/66 + 
       (73895*s[47])/264 - (115237*s[48])/88 + (580523*s[49])/264 - 
       (229069*s[50])/33 - (11829*s[51])/88 - (145507*s[52])/264 + 
       (500794*s[53])/99 - (31021*s[54])/22 + (29855297*s[55])/792 + 
       (10504579*s[56])/792 - (689504*s[57])/297 + (115918559*s[58])/7128 - 
       (105289955*s[59])/7128 - (45992689*s[60])/528 + 
       (212252239*s[61])/32076 - 4*s[65] - 16*s[66] + 24*s[67] + 
       (20*s[68])/3 + (148*s[69])/3 + 10*s[71] + 24*s[72] - 24*s[73] - 
       24*s[74] + 24*s[75] + 72*s[76] - (16*s[77])/3 - 72*s[79] + 34*s[80] - 
       634*s[82] - 240*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*(56*s[2] - (257*s[3])/3 + (9287*s[4])/12 - 
       (688*s[5])/33 - (8751*s[6])/22 + (13530623*s[7])/2376 - 
       (1645361*s[8])/1782 - (1517165*s[9])/324 - (140027*s[10])/162 - 
       (2099903*s[11])/297 - (20835335*s[12])/2376 - (13406207*s[13])/2376 + 
       (8985413*s[14])/2376 - (1598425*s[15])/216 - (5729381*s[16])/594 - 
       (943883*s[17])/198 + (125213*s[18])/243 - (2453549*s[19])/972 - 
       (21696107*s[20])/2673 - (22984081*s[21])/21384 + 
       (70343567*s[22])/21384 + (21854053*s[23])/2376 + 
       (160563809*s[24])/21384 - (2123100445*s[25])/192456 + 
       (663459205*s[26])/192456 - 8*s[29] + (80*s[31])/3 - (26*s[32])/3 + 
       112*s[33] - 132*s[34] - (260*s[35])/3 - (2006*s[36])/9 + 
       (1543*s[37])/9 + 565*s[38] - (7979*s[39])/4 + (64523*s[40])/36 - 
       (16511*s[41])/12 + (100477*s[42])/36 + (42227*s[43])/36 - 
       (108079*s[44])/72 + (19001*s[45])/36 - (73012*s[46])/9 + 
       (213917*s[47])/216 - (274165*s[48])/216 - (1585973*s[49])/216 + 
       (66761*s[50])/9 + (350305*s[51])/216 + (223429*s[52])/216 - 
       (267175*s[53])/54 - (58301*s[54])/18 - (665699*s[55])/24 - 
       (57143*s[56])/24 + (307555*s[57])/27 - (8295809*s[58])/648 + 
       (9890705*s[59])/648 + (92371457*s[60])/1296 - (1066661*s[61])/972 - 
       4*s[65] - 16*s[66] + 24*s[67] + (40*s[68])/3 + (88*s[69])/3 + 
       4*s[70] + 18*s[71] + 16*s[72] - 16*s[73] - (82*s[74])/3 + 
       (82*s[75])/3 - 28*s[76] + (44*s[77])/3 + (172*s[78])/3 - 168*s[79] + 
       (2312*s[80])/9 + 6*s[82] - 240*s[85])*\[Zeta][2] + 
     HPL[{0, 0, 1, 0, 1}, 1 - v]*(1617*s[2] - 1369*s[3] + (10309*s[4])/2 + 
       10625*s[5] + 17460*s[6] + (1981025*s[7])/12 - (145919*s[8])/27 - 
       (3892376*s[9])/27 - (1533328*s[10])/27 - (6429811*s[11])/36 - 
       (6479807*s[12])/36 - (1938473*s[13])/18 - (768455*s[14])/18 - 
       (8649025*s[15])/36 - (10516783*s[16])/36 - (9244651*s[17])/36 - 
       (4187813*s[18])/162 - (5791699*s[19])/162 - (28196155*s[20])/81 - 
       (11069188*s[21])/81 + (7122083*s[22])/81 + (946250*s[23])/9 + 
       (16181234*s[24])/81 - (154898356*s[25])/729 + (93160462*s[26])/729 + 
       120*s[29] - 106*s[30] + 546*s[31] - 267*s[32] + (165*s[33])/2 - 
       812*s[34] + 234*s[35] - (2219*s[36])/3 + (307*s[37])/2 + 5792*s[38] - 
       (60661*s[39])/4 + (205739*s[40])/12 - (56125*s[41])/4 + 
       (206419*s[42])/12 + (2939569*s[43])/132 - (4694201*s[44])/264 + 
       (1092297*s[45])/44 - (5419360*s[46])/33 - (3881129*s[47])/792 + 
       (14496505*s[48])/792 - (79457029*s[49])/792 + (4344706*s[50])/33 + 
       (6844457*s[51])/792 + (5510831*s[52])/792 - (18358057*s[53])/198 - 
       (788863*s[54])/33 - (159596747*s[55])/264 - (103535923*s[56])/792 - 
       (4288879*s[57])/297 - (1471775471*s[58])/7128 + 
       (1665972467*s[59])/7128 + (7023192853*s[60])/4752 - 
       (2078853727*s[61])/32076 + 32*s[65] + 128*s[66] - 192*s[67] - 
       356*s[68] + 260*s[69] + 14*s[70] - 59*s[71] - 252*s[72] - 1308*s[73] + 
       204*s[74] - 204*s[75] - 964*s[76] - 280*s[77] + 658*s[78] + 
       1100*s[79] + 231*s[80] + 7824*s[82] + 108*s[83] - 24*s[84] - 
       240*s[85])*\[Zeta][2] + HPL[{0, 0, 1, 0, 1}, 1 - w]*
      (1576*s[2] - (2533*s[3])/2 + (20733*s[4])/4 + (443193*s[5])/44 + 
       (375567*s[6])/22 + (41188193*s[7])/264 - (2689171*s[8])/594 - 
       (14750575*s[9])/108 - (5658509*s[10])/108 - (134342249*s[11])/792 - 
       (33932683*s[12])/198 - (82177451*s[13])/792 - (31662533*s[14])/792 - 
       (16253359*s[15])/72 - (54478031*s[16])/198 - (190778777*s[17])/792 - 
       (7713389*s[18])/324 - (10982335*s[19])/324 - (1165680745*s[20])/3564 - 
       (913629581*s[21])/7128 + (593587411*s[22])/7128 + 
       (39653297*s[23])/396 + (671202497*s[24])/3564 - 
       (12987451163*s[25])/64152 + (7760597699*s[26])/64152 + 128*s[29] - 
       78*s[30] + 540*s[31] - 254*s[32] + (275*s[33])/2 - 860*s[34] + 
       214*s[35] - (2279*s[36])/3 + (713*s[37])/6 + 5932*s[38] - 
       (62139*s[39])/4 + (210797*s[40])/12 - (57283*s[41])/4 + 
       (212581*s[42])/12 + (2979007*s[43])/132 - (4767299*s[44])/264 + 
       (3314611*s[45])/132 - (10979917*s[46])/66 - (3715331*s[47])/792 + 
       (14566075*s[48])/792 - (80551591*s[49])/792 + (4393333*s[50])/33 + 
       (7141019*s[51])/792 + (5844173*s[52])/792 - (9237310*s[53])/99 - 
       (805373*s[54])/33 - (160801457*s[55])/264 - (34927363*s[56])/264 - 
       (775649*s[57])/99 - (167327305*s[58])/792 + (188370401*s[59])/792 + 
       (7101493243*s[60])/4752 - (175553281*s[61])/2673 - 16*s[63] + 
       32*s[65] + 128*s[66] - 192*s[67] - 392*s[68] + 282*s[69] + 34*s[70] - 
       59*s[71] - 252*s[72] - 1308*s[73] + 204*s[74] - 204*s[75] - 
       980*s[76] - 316*s[77] + 658*s[78] + 1084*s[79] + (815*s[80])/3 + 
       7824*s[82] + 108*s[83] - 24*s[84] - 240*s[85])*\[Zeta][2] + 
     HPL[{0, 0, 1, 0, 1}, 1 - u]*(1522*s[2] - 982*s[3] + 4721*s[4] + 
       (424249*s[5])/44 + (695295*s[6])/44 + (60029575*s[7])/396 - 
       (5215229*s[8])/1188 - (14299177*s[9])/108 - (5752283*s[10])/108 - 
       (65097367*s[11])/396 - (32672095*s[12])/198 - (13072663*s[13])/132 - 
       (15675013*s[14])/396 - 221445*s[15] - (17776411*s[16])/66 - 
       (23525360*s[17])/99 - (7274423*s[18])/324 - (2861200*s[19])/81 - 
       (285579985*s[20])/891 - (222002513*s[21])/1782 + 
       (287924987*s[22])/3564 + (11375099*s[23])/132 + 
       (666698585*s[24])/3564 - (12555573479*s[25])/64152 + 
       (7487366831*s[26])/64152 + 112*s[29] - 90*s[30] + 474*s[31] - 
       280*s[32] + (171*s[33])/2 - 718*s[34] + 208*s[35] - (2336*s[36])/3 - 
       (362*s[37])/3 + 5352*s[38] - 12926*s[39] + (44534*s[40])/3 - 
       12279*s[41] + (41041*s[42])/3 + (700204*s[43])/33 - 
       (540259*s[44])/33 + (827482*s[45])/33 - (5229722*s[46])/33 - 
       (656404*s[47])/99 + (1999898*s[48])/99 - (9480248*s[49])/99 + 
       (4232809*s[50])/33 + (634531*s[51])/99 + (492001*s[52])/99 - 
       (8908921*s[53])/99 - (879653*s[54])/33 - (19537021*s[55])/33 - 
       (4126688*s[56])/33 - (4543562*s[57])/99 - (2100645*s[58])/11 + 
       (21540230*s[59])/99 + (859689935*s[60])/594 - (338065043*s[61])/5346 + 
       16*s[63] + 40*s[65] + 192*s[66] - 240*s[67] - 398*s[68] + 158*s[69] + 
       56*s[70] - 70*s[71] - 312*s[72] - 1296*s[73] + 228*s[74] - 228*s[75] - 
       898*s[76] - 312*s[77] + 532*s[78] + 648*s[79] + (1244*s[80])/3 + 
       7824*s[82] + 108*s[83] - 24*s[84] - 240*s[85])*\[Zeta][2] + 
     HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*((-487*s[2])/18 - 
       (12265*s[3])/36 - (345131*s[4])/72 - (377911*s[5])/198 - 
       (3349261*s[6])/792 - (854464285*s[7])/14256 + (67127563*s[8])/10692 + 
       (95968963*s[9])/1944 + (30023603*s[10])/1944 + (59794508*s[11])/891 + 
       (536376905*s[12])/7128 + (321329915*s[13])/7128 - 
       (8174263*s[14])/3564 + (105253031*s[15])/1296 + 
       (1463653177*s[16])/14256 + (59407091*s[17])/792 + 
       (43111559*s[18])/5832 + (81661027*s[19])/5832 + 
       (905282651*s[20])/8019 + (580617979*s[21])/16038 - 
       (2025310811*s[22])/64152 - (1035576365*s[23])/14256 - 
       (9032034265*s[24])/128304 + (26004848561*s[25])/288684 - 
       (25241016877*s[26])/577368 + (128*s[29])/3 - 11*s[30] + 
       (272*s[31])/9 + (19*s[32])/18 - (827*s[33])/6 + (934*s[34])/9 + 
       225*s[35] + (4537*s[36])/9 - (18091*s[37])/54 - (6247*s[38])/2 + 
       (139103*s[39])/12 - (145343*s[40])/12 + (173197*s[41])/18 - 
       (1161997*s[42])/72 - (4007855*s[43])/396 + (4197641*s[44])/396 - 
       (6551113*s[45])/594 + (104102195*s[46])/1188 - (1411463*s[47])/396 - 
       (51551*s[48])/99 + (13259429*s[49])/264 - (14054881*s[50])/198 - 
       (24852505*s[51])/2376 - (763325*s[52])/99 + (352038959*s[53])/7128 + 
       (8922839*s[54])/1188 + (183178945*s[55])/594 + 
       (483697039*s[56])/7128 - (291056035*s[57])/5346 + 
       (1026323365*s[58])/8019 - (8752115093*s[59])/64152 - 
       (10611829673*s[60])/14256 + (39972579433*s[61])/1154736 - 16*s[63] + 
       6*s[65] + 30*s[66] - (122*s[67])/3 - (239*s[68])/9 - (241*s[69])/3 - 
       (49*s[70])/3 - (161*s[71])/6 - (160*s[72])/3 + 30*s[73] + 
       (365*s[74])/6 - (365*s[75])/6 + (176*s[76])/9 + 2*s[77] - 105*s[78] + 
       (1186*s[79])/9 - (12004*s[80])/27 - (6614*s[82])/3 + (107*s[83])/2 - 
       137*s[84] - (700*s[85])/3)*\[Zeta][2] + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*((8447*s[2])/18 - (4237*s[3])/36 + 
       (234097*s[4])/72 + (47431*s[5])/18 + (422851*s[6])/72 + 
       (77220583*s[7])/1296 - (3425161*s[8])/972 - (97858313*s[9])/1944 - 
       (37301923*s[10])/1944 - (5313149*s[11])/81 - (5591425*s[12])/81 - 
       (6719573*s[13])/162 - (5770831*s[14])/648 - (109342543*s[15])/1296 - 
       (135965365*s[16])/1296 - (18753821*s[17])/216 - 
       (44728585*s[18])/5832 - (86249363*s[19])/5832 - 
       (174852619*s[20])/1458 - (249004165*s[21])/5832 + 
       (91658971*s[22])/2916 + (60452663*s[23])/1296 + 
       (854384167*s[24])/11664 - (4325819131*s[25])/52488 + 
       (1170125429*s[26])/26244 + (32*s[29])/3 - 3*s[30] + (980*s[31])/9 - 
       (1751*s[32])/18 + (50*s[33])/3 - (1532*s[34])/9 + 33*s[35] - 
       (2555*s[36])/9 + (328*s[37])/27 + (12455*s[38])/6 - (27263*s[39])/4 + 
       (30367*s[40])/4 - (56290*s[41])/9 + (630443*s[42])/72 + 
       (3278437*s[43])/396 - (5988089*s[44])/792 + (8919127*s[45])/1188 - 
       (17566399*s[46])/297 - (403009*s[47])/792 + (4099973*s[48])/792 - 
       (1282927*s[49])/33 + (4747681*s[50])/99 + (5892325*s[51])/1188 + 
       (2763329*s[52])/792 - (236721907*s[53])/7128 - (8938579*s[54])/1188 - 
       (496308755*s[55])/2376 - (154026007*s[56])/3564 + 
       (106841125*s[57])/10692 - (4913779171*s[58])/64152 + 
       (2757714959*s[59])/32076 + (933913025*s[60])/1782 - 
       (25009873067*s[61])/1154736 - 16*s[63] + (4*s[65])/3 + (34*s[66])/3 - 
       (46*s[67])/3 - (1001*s[68])/9 + (593*s[69])/3 + 9*s[70] - 
       (43*s[71])/6 - (136*s[72])/3 - 526*s[73] + (169*s[74])/6 - 
       (169*s[75])/6 - (1852*s[76])/9 - 136*s[77] + (637*s[78])/3 + 
       (3328*s[79])/9 - (1249*s[80])/27 + (6094*s[82])/3 + (83*s[83])/2 + 
       87*s[84] - (700*s[85])/3)*\[Zeta][2] + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*(40*s[2] - (2365*s[3])/4 - (143573*s[4])/24 - 
       (641375*s[5])/264 - (232849*s[6])/33 - (377442721*s[7])/4752 + 
       (19114295*s[8])/2376 + (1758860*s[9])/27 + (1181021*s[10])/54 + 
       (23204615*s[11])/264 + (77045669*s[12])/792 + (68730071*s[13])/1188 + 
       (88421*s[14])/33 + (46638661*s[15])/432 + (651103379*s[16])/4752 + 
       (30827818*s[17])/297 + (1183133*s[18])/108 + (3750829*s[19])/216 + 
       (364959917*s[20])/2376 + (361920689*s[21])/7128 - 
       (147634627*s[22])/3564 - (424689079*s[23])/4752 - 
       (1325435173*s[24])/14256 + (14871009169*s[25])/128304 - 
       (7515418105*s[26])/128304 + (184*s[29])/3 + 4*s[30] + (344*s[31])/3 - 
       (20*s[32])/3 - (58*s[33])/3 - 69*s[34] + (646*s[35])/3 + 
       (3373*s[36])/9 - (5147*s[37])/36 - (15893*s[38])/6 + 
       (140393*s[39])/12 - (454591*s[40])/36 + (61715*s[41])/6 - 
       (610601*s[42])/36 - (4057433*s[43])/396 + (2216155*s[44])/198 - 
       (8033359*s[45])/792 + (69352379*s[46])/792 - (4316593*s[47])/1188 - 
       (299812*s[48])/297 + (30018437*s[49])/594 - (14015227*s[50])/198 - 
       (3274970*s[51])/297 - (9365387*s[52])/1188 + (58260857*s[53])/1188 + 
       (2109517*s[54])/396 + (26647411*s[55])/88 + (9051703*s[56])/132 - 
       (145072841*s[57])/2376 + (917548955*s[58])/7128 - 
       (968842301*s[59])/7128 - (10494827591*s[60])/14256 + 
       (186679423*s[61])/5346 + 13*s[65] + 54*s[66] - (256*s[67])/3 + 
       (4*s[68])/3 - (554*s[69])/3 - (70*s[70])/3 - (53*s[71])/2 - 
       (236*s[72])/3 - (128*s[73])/3 + (437*s[74])/6 - (437*s[75])/6 - 
       104*s[76] + (172*s[77])/3 - (190*s[78])/3 - 194*s[79] - 
       (1367*s[80])/18 - 1548*s[82] + (89*s[83])/2 - 135*s[84] - 224*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      ((-459*s[2])/4 - (1387*s[3])/8 - (115079*s[4])/48 - (357333*s[5])/176 - 
       (864949*s[6])/176 - (2828407*s[7])/66 + (1640581*s[8])/528 + 
       (1737385*s[9])/48 + (191157*s[10])/16 + (49764613*s[11])/1056 + 
       (53743673*s[12])/1056 + (5389205*s[13])/176 + (1746253*s[14])/264 + 
       (346331*s[15])/6 + (6445935*s[16])/88 + (61201615*s[17])/1056 + 
       (551743*s[18])/72 + (252817*s[19])/36 + (17063771*s[20])/198 + 
       (25070921*s[21])/792 - (35624015*s[22])/1584 - (48005687*s[23])/1056 - 
       (151642145*s[24])/3168 + (1691160623*s[25])/28512 - 
       (942298037*s[26])/28512 + (3*s[30])/4 - (77*s[31])/2 + 15*s[32] - 
       (121*s[33])/16 + (219*s[34])/4 + (5*s[35])/3 + (477*s[36])/4 - 
       (481*s[37])/3 - (8563*s[38])/6 + (125423*s[39])/24 - 
       (140369*s[40])/24 + (53551*s[41])/12 - (57963*s[42])/8 - 
       (446597*s[43])/88 + (1328801*s[44])/264 - (3207143*s[45])/528 + 
       (7815397*s[46])/176 - (2029559*s[47])/1584 - (2468261*s[48])/1584 + 
       (18030403*s[49])/792 - (4472657*s[50])/132 - (156941*s[51])/33 - 
       (3144155*s[52])/792 + (37516439*s[53])/1584 + (65693*s[54])/264 + 
       (26693809*s[55])/176 + (3939638*s[56])/99 - (39875201*s[57])/1188 + 
       (965263171*s[58])/14256 - (123478187*s[59])/1782 - 
       (3496084781*s[60])/9504 + (4999844897*s[61])/256608 - 3*s[66] + 
       3*s[67] + 12*s[68] - 17*s[69] - (17*s[70])/2 + (5*s[71])/2 + 2*s[72] + 
       73*s[73] + (61*s[74])/12 - (61*s[75])/12 + (239*s[76])/3 + 
       (86*s[77])/3 - (155*s[78])/2 - 409*s[79] + (581*s[80])/6 - 
       (2839*s[82])/2 - (39*s[83])/4 - (339*s[84])/2 - 218*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      ((-421*s[2])/2 - (595*s[3])/4 - (46723*s[4])/12 - (564433*s[5])/176 - 
       (682207*s[6])/88 - (72983875*s[7])/1056 + (998309*s[8])/198 + 
       (8391227*s[9])/144 + (2844247*s[10])/144 + (13327559*s[11])/176 + 
       (28639491*s[12])/352 + (17147375*s[13])/352 + (11152025*s[14])/1056 + 
       (9023653*s[15])/96 + (5218903*s[16])/44 + (16686195*s[17])/176 + 
       (2600069*s[18])/216 + (5156705*s[19])/432 + (660151889*s[20])/4752 + 
       (483572839*s[21])/9504 - (344338649*s[22])/9504 - 
       (25160061*s[23])/352 - (740085095*s[24])/9504 + 
       (8149502287*s[25])/85536 - (4533647257*s[26])/85536 + (19*s[30])/4 - 
       (93*s[31])/2 + 38*s[32] + (149*s[33])/16 + (279*s[34])/4 + 
       (31*s[35])/6 + (602*s[36])/3 - (1315*s[37])/12 - (4519*s[38])/2 + 
       (414425*s[39])/48 - (467881*s[40])/48 + (123653*s[41])/16 - 
       (574801*s[42])/48 - (4637747*s[43])/528 + (3059435*s[44])/352 - 
       (1779765*s[45])/176 + (19956997*s[46])/264 - (1706957*s[47])/1056 - 
       (3593567*s[48])/1056 + (42221429*s[49])/1056 - (7757609*s[50])/132 - 
       (24754883*s[51])/3168 - (6558325*s[52])/1056 + (5423851*s[53])/132 + 
       (488357*s[54])/264 + (828846649*s[55])/3168 + (69494803*s[56])/1056 - 
       (4531706*s[57])/99 + (1055173283*s[58])/9504 - 
       (1094854679*s[59])/9504 - (4014356549*s[60])/6336 + 
       (1397613487*s[61])/42768 + 46*s[68] - 86*s[69] - 14*s[70] + 
       (17*s[71])/2 - 5*s[72] + 180*s[73] + (91*s[74])/12 - (91*s[75])/12 + 
       (323*s[76])/3 + (451*s[77])/6 - 137*s[78] - 668*s[79] + 
       (349*s[80])/2 - (2839*s[82])/2 - (39*s[83])/4 - (339*s[84])/2 - 
       218*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((-905*s[2])/6 - (601*s[3])/6 - (17713*s[4])/8 - 
       (547499*s[5])/264 - (1255193*s[6])/264 - (50447945*s[7])/1188 + 
       (21252397*s[8])/7128 + (23123351*s[9])/648 + (8383723*s[10])/648 + 
       (219104857*s[11])/4752 + (231296909*s[12])/4752 + 
       (68665279*s[13])/2376 + (4532207*s[14])/594 + (6439921*s[15])/108 + 
       (176014435*s[16])/2376 + (97376327*s[17])/1584 + 
       (13723483*s[18])/1944 + (15754301*s[19])/1944 + 
       (924129673*s[20])/10692 + (683805935*s[21])/21384 - 
       (473339017*s[22])/21384 - (190445191*s[23])/4752 - 
       (2101068275*s[24])/42768 + (22110291937*s[25])/384912 - 
       (12503541637*s[26])/384912 + (27*s[30])/2 - (80*s[31])/3 + 
       (73*s[32])/3 + (325*s[33])/8 + (85*s[34])/6 - 2*s[35] + 
       (731*s[36])/6 - (2791*s[37])/36 - 1235*s[38] + (110549*s[39])/24 - 
       (41787*s[40])/8 + (99727*s[41])/24 - (50335*s[42])/8 - 
       (1354115*s[43])/264 + (2549045*s[44])/528 - (4821425*s[45])/792 + 
       (17440339*s[46])/396 - (73047*s[47])/176 - (469245*s[48])/176 + 
       (4114417*s[49])/176 - (1142725*s[50])/33 - (6109553*s[51])/1584 - 
       (1569781*s[52])/528 + (29258741*s[53])/1188 + (203014*s[54])/99 + 
       (83096315*s[55])/528 + (183757225*s[56])/4752 - 
       (58208575*s[57])/3564 + (2642944757*s[58])/42768 - 
       (2808776057*s[59])/42768 - (3564978773*s[60])/9504 + 
       (3719613919*s[61])/192456 + (98*s[68])/3 - 64*s[69] - 16*s[70] + 
       2*s[71] + 4*s[72] + 148*s[73] - (15*s[74])/2 + (15*s[75])/2 + 
       (214*s[76])/3 + 61*s[77] - 88*s[78] - (1036*s[79])/3 + 
       (2393*s[80])/18 - 1268*s[82] - s[83]/2 - 73*s[84] - 212*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
      (58*s[2] + (23*s[3])/2 + (5201*s[4])/4 + (2405*s[5])/22 + 
       (21867*s[6])/44 + (10115111*s[7])/792 - (1691549*s[8])/1188 - 
       (554807*s[9])/54 - (205441*s[10])/54 - (11362865*s[11])/792 - 
       (6307727*s[12])/396 - (839045*s[13])/88 + (1371985*s[14])/792 - 
       (447907*s[15])/24 - (3028687*s[16])/132 - (13673167*s[17])/792 - 
       (55621*s[18])/162 - (1514335*s[19])/324 - (82875769*s[20])/3564 - 
       (44406545*s[21])/7128 + (48265645*s[22])/7128 + (140236*s[23])/11 + 
       (15168158*s[24])/891 - (160621804*s[25])/8019 + 
       (137240435*s[26])/16038 - 16*s[29] + 8*s[31] - 14*s[32] + 
       (121*s[33])/2 - 40*s[34] - 58*s[35] - (461*s[36])/3 + (50*s[37])/3 + 
       552*s[38] - (9385*s[39])/4 + (28799*s[40])/12 - (8305*s[41])/4 + 
       (39991*s[42])/12 + (24287*s[43])/12 - (55957*s[44])/24 + 
       (3499*s[45])/3 - (56655*s[46])/4 + (32117*s[47])/72 + 
       (5987*s[48])/72 - (816959*s[49])/72 + (38471*s[50])/3 + 
       (138763*s[51])/72 + (72895*s[52])/72 - (34825*s[53])/4 - 3706*s[54] - 
       (1230857*s[55])/24 - (505501*s[56])/72 + (123356*s[57])/27 - 
       (11626163*s[58])/648 + (14086313*s[59])/648 + (55435625*s[60])/432 - 
       (21438455*s[61])/5832 - 4*s[65] - 16*s[66] + 24*s[67] - 18*s[68] + 
       78*s[69] + 4*s[70] + 12*s[71] + 16*s[72] - 64*s[73] - 20*s[74] + 
       20*s[75] - 8*s[76] - 30*s[77] + 38*s[78] - 12*s[79] + (316*s[80])/3 + 
       232*s[82] - 208*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u]*((67*s[2])/3 - (265*s[3])/3 + (3200*s[4])/3 + 
       (6631*s[5])/33 + (13469*s[6])/66 + (6449131*s[7])/594 - 
       (2140249*s[8])/1782 - (719209*s[9])/81 - (492181*s[10])/162 - 
       (14765689*s[11])/1188 - (16654217*s[12])/1188 - (5049925*s[13])/594 + 
       (1298437*s[14])/594 - (837569*s[15])/54 - (11362849*s[16])/594 - 
       (1812299*s[17])/132 - (111649*s[18])/486 - (984901*s[19])/243 - 
       (102164567*s[20])/5346 - (13908988*s[21])/2673 + 
       (31234123*s[22])/5346 + (13947463*s[23])/1188 + 
       (154262579*s[24])/10692 - (1677379987*s[25])/96228 + 
       (708521851*s[26])/96228 - 16*s[29] + (8*s[31])/3 - (34*s[32])/3 + 
       44*s[33] - (152*s[34])/3 - 52*s[35] - 148*s[36] + (718*s[37])/9 + 
       712*s[38] - 2617*s[39] + (7813*s[40])/3 - (6598*s[41])/3 + 
       3581*s[42] + (25189*s[43])/11 - (55417*s[44])/22 + 
       (279317*s[45])/198 - (3135989*s[46])/198 + (99203*s[47])/198 + 
       (29837*s[48])/198 - (2483771*s[49])/198 + (154108*s[50])/11 + 
       (137195*s[51])/66 + (236095*s[52])/198 - (5666533*s[53])/594 - 
       (379369*s[54])/99 - (11228555*s[55])/198 - (4750301*s[56])/594 + 
       (4852183*s[57])/891 - (54328463*s[58])/2673 + (130624261*s[59])/5346 + 
       (4712245*s[60])/33 - (406304693*s[61])/96228 - 4*s[65] - 16*s[66] + 
       24*s[67] - (50*s[68])/3 + 62*s[69] + 4*s[70] + 12*s[71] + 16*s[72] - 
       60*s[73] - 20*s[74] + 20*s[75] - (52*s[76])/3 - 30*s[77] + 44*s[78] - 
       (248*s[79])/3 + (1214*s[80])/9 + 232*s[82] - 208*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*((493*s[2])/6 - (773*s[3])/12 + 
       (47711*s[4])/24 + (30203*s[5])/33 + (492841*s[6])/264 + 
       (127239889*s[7])/4752 - (17088671*s[8])/7128 - (1813490*s[9])/81 - 
       (2329195*s[10])/324 - (143234555*s[11])/4752 - (39795691*s[12])/1188 - 
       (96966805*s[13])/4752 + (2534353*s[14])/4752 - (15772199*s[15])/432 - 
       (54668161*s[16])/1188 - (53992567*s[17])/1584 - (1389227*s[18])/486 - 
       (13041499*s[19])/1944 - (1081800835*s[20])/21384 - 
       (706286657*s[21])/42768 + (612276013*s[22])/42768 + 
       (34855175*s[23])/1188 + (171980219*s[24])/5346 - 
       (7713571417*s[25])/192456 + (3768783217*s[26])/192456 - 16*s[29] - 
       4*s[30] + (70*s[31])/3 - (68*s[32])/3 + (293*s[33])/4 - 
       (316*s[34])/3 - 67*s[35] - (826*s[36])/3 + (3517*s[37])/18 + 
       1330*s[38] - (19047*s[39])/4 + (19655*s[40])/4 - (46721*s[41])/12 + 
       (79715*s[42])/12 + (520331*s[43])/132 - (564761*s[44])/132 + 
       (1157429*s[45])/396 - (5752525*s[46])/198 + (33589*s[47])/22 - 
       (7919*s[48])/44 - (1329899*s[49])/66 + (1579279*s[50])/66 + 
       (1631171*s[51])/396 + (199919*s[52])/66 - (19072333*s[53])/1188 - 
       (754879*s[54])/198 - (38541953*s[55])/396 - (5596883*s[56])/297 + 
       (94044251*s[57])/3564 - (465252529*s[58])/10692 + 
       (508102015*s[59])/10692 + (591969883*s[60])/2376 - 
       (894506707*s[61])/96228 - 7*s[65] - 18*s[66] + 42*s[67] + 
       (32*s[68])/3 + 74*s[69] + 16*s[70] + 15*s[71] + 34*s[72] - 82*s[73] - 
       (67*s[74])/2 + (67*s[75])/2 - (20*s[76])/3 - 31*s[77] + 20*s[78] + 
       (164*s[79])/3 + (1237*s[80])/9 + 232*s[82] - 208*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*(44*s[2] - 110*s[3] + 
       737*s[4] - (3975*s[5])/22 - (9807*s[6])/22 + (98727*s[7])/22 - 
       (454807*s[8])/594 - (188303*s[9])/54 - (58153*s[10])/54 - 
       (551959*s[11])/99 - (1357591*s[12])/198 - (860333*s[13])/198 + 
       (679687*s[14])/198 - (56288*s[15])/9 - (794713*s[16])/99 - 
       (867125*s[17])/198 + (144239*s[18])/162 - (227308*s[19])/81 - 
       (5287210*s[20])/891 - (167161*s[21])/891 + (4538509*s[22])/1782 + 
       (578012*s[23])/99 + (6143384*s[24])/891 - (287699035*s[25])/32076 + 
       (77087839*s[26])/32076 - 8*s[29] + 12*s[31] - 12*s[32] + 56*s[33] - 
       76*s[34] - 52*s[35] - (466*s[36])/3 + (121*s[37])/3 + 422*s[38] - 
       (3401*s[39])/2 + (9839*s[40])/6 - (2859*s[41])/2 + (14401*s[42])/6 + 
       (88717*s[43])/66 - (210707*s[44])/132 + (24857*s[45])/66 - 
       (88989*s[46])/11 + (159163*s[47])/396 - (87875*s[48])/396 - 
       (3209977*s[49])/396 + (257930*s[50])/33 + (522593*s[51])/396 + 
       (248969*s[52])/396 - (56688*s[53])/11 - (37853*s[54])/11 - 
       (3773063*s[55])/132 - (721727*s[56])/396 + (1053308*s[57])/297 - 
       (34898395*s[58])/3564 + (45928903*s[59])/3564 + 
       (180107545*s[60])/2376 - (8176783*s[61])/8019 - 4*s[65] - 16*s[66] + 
       24*s[67] - 4*s[68] + 64*s[69] + 4*s[70] + 12*s[71] + 16*s[72] - 
       64*s[73] - 20*s[74] + 20*s[75] - 16*s[76] - 12*s[77] + 52*s[78] - 
       80*s[79] + (434*s[80])/3 + 232*s[82] - 208*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*((-119*s[2])/6 - 54*s[3] + 
       (589*s[4])/3 - (33271*s[5])/66 - (30368*s[6])/33 - 
       (1643464*s[7])/297 - (425467*s[8])/3564 + (1608655*s[9])/324 + 
       (880655*s[10])/324 + (12076457*s[11])/2376 + (9480619*s[12])/2376 + 
       (355315*s[13])/198 + (5806279*s[14])/1188 + (84206*s[15])/9 + 
       (462065*s[16])/44 + (27454297*s[17])/2376 + (409892*s[18])/243 + 
       (345973*s[19])/972 + (41101879*s[20])/2673 + (17814010*s[21])/2673 - 
       (7580390*s[22])/2673 + (865981*s[23])/792 - (144981415*s[24])/21384 + 
       (108757981*s[25])/24057 - (213984839*s[26])/48114 - 12*s[29] + 
       11*s[30] + (8*s[31])/3 - (35*s[32])/6 + (71*s[33])/12 - 
       (112*s[34])/3 - (37*s[35])/3 - (1925*s[36])/18 + (193*s[37])/4 + 
       (1993*s[38])/6 - (18565*s[39])/24 + (46787*s[40])/72 - 
       (2477*s[41])/8 + (69859*s[42])/72 + (251353*s[43])/792 - 
       (676283*s[44])/1584 - (69769*s[45])/264 + (147685*s[46])/396 + 
       (2314483*s[47])/4752 - (3193811*s[48])/4752 - (9769789*s[49])/4752 - 
       (41626*s[50])/99 + (2635349*s[51])/4752 + (2341865*s[52])/4752 + 
       (350605*s[53])/594 - (477365*s[54])/396 + (8655965*s[55])/1584 + 
       (12333389*s[56])/4752 + (37139695*s[57])/3564 - 
       (85813811*s[58])/42768 + (110339567*s[59])/42768 - 
       (141852323*s[60])/28512 + (33262987*s[61])/24057 + 2*s[63] - 
       (11*s[65])/3 - (44*s[66])/3 + (70*s[67])/3 + (19*s[68])/3 + 
       (112*s[69])/3 + (7*s[70])/3 + (8*s[71])/3 + (32*s[72])/3 - 
       (214*s[73])/3 - (37*s[74])/3 + (37*s[75])/3 - 22*s[76] - 
       (25*s[77])/3 + (193*s[78])/3 - 152*s[79] + (655*s[80])/6 - 870*s[82] + 
       20*s[83] - 72*s[84] - 208*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      ((259*s[2])/2 + (223*s[3])/4 + (5179*s[4])/8 + (24379*s[5])/44 + 
       (166285*s[6])/88 + (15524279*s[7])/1584 - (974087*s[8])/2376 - 
       (897203*s[9])/108 - (105281*s[10])/54 - (18291047*s[11])/1584 - 
       (10243733*s[12])/792 - (4448377*s[13])/528 - (2938421*s[14])/1584 - 
       (185625*s[15])/16 - (359495*s[16])/22 - (19164721*s[17])/1584 - 
       (348665*s[18])/162 - (575437*s[19])/648 - (132529525*s[20])/7128 - 
       (108033467*s[21])/14256 + (73852051*s[22])/14256 + 
       (3535339*s[23])/264 + (68816975*s[24])/7128 - (460075547*s[25])/
        32076 + (66784235*s[26])/8019 + 23*s[30] + 70*s[31] - 44*s[32] + 
       (59*s[33])/2 - 107*s[34] + (221*s[35])/3 - 85*s[36] + (1153*s[37])/6 + 
       520*s[38] - (15785*s[39])/12 + (17333*s[40])/12 - (9199*s[41])/12 + 
       (19411*s[42])/12 + (165955*s[43])/132 - (142339*s[44])/132 + 
       (69989*s[45])/66 - (939967*s[46])/132 + (48029*s[47])/132 + 
       (21589*s[48])/66 - (48739*s[49])/11 + (231845*s[50])/66 + 
       (35765*s[51])/44 + (27113*s[52])/22 - (488707*s[53])/198 + 
       (45433*s[54])/33 - (548129*s[55])/33 - (779539*s[56])/99 + 
       (25512679*s[57])/1188 - (14103149*s[58])/891 + (54271361*s[59])/3564 + 
       (9835231*s[60])/198 - (188288533*s[61])/64152 - s[65] + 2*s[66] - 
       16*s[68] + 34*s[69] - 20*s[70] - 3*s[71] - 22*s[72] - 194*s[73] + 
       (89*s[74])/6 - (89*s[75])/6 - (406*s[76])/3 - (73*s[77])/3 + 
       150*s[78] + 184*s[79] - (233*s[80])/3 + 406*s[82] + (93*s[83])/2 - 
       3*s[84] - 176*s[85])*\[Zeta][2] + HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*((-3991*s[2])/6 + (8917*s[3])/24 - 
       (81215*s[4])/24 - (1499101*s[5])/264 - (685477*s[6])/66 - 
       (882038219*s[7])/9504 + (55399933*s[8])/14256 + (52155079*s[9])/648 + 
       (38972515*s[10])/1296 + (239308537*s[11])/2376 + 
       (491091889*s[12])/4752 + (294640231*s[13])/4752 + 
       (108265307*s[14])/4752 + (114009679*s[15])/864 + 
       (1543943195*s[16])/9504 + (24523471*s[17])/176 + 
       (60642109*s[18])/3888 + (8722105*s[19])/486 + (519636173*s[20])/2673 + 
       (807565301*s[21])/10692 - (526569583*s[22])/10692 - 
       (659403295*s[23])/9504 - (9338939873*s[24])/85536 + 
       (93298180507*s[25])/769824 - (55516345711*s[26])/769824 - 
       (113*s[29])/2 + (181*s[30])/4 - (661*s[31])/3 + (637*s[32])/6 - 
       (571*s[33])/16 + (4039*s[34])/12 - 61*s[35] + (1051*s[36])/3 - 
       (9229*s[37])/72 - (12575*s[38])/4 + (37445*s[39])/4 - 
       (42609*s[40])/4 + (205939*s[41])/24 - (138173*s[42])/12 - 
       (1608803*s[43])/132 + (11025193*s[44])/1056 - (23008901*s[45])/1584 + 
       (154840835*s[46])/1584 + (411051*s[47])/352 - (3050517*s[48])/352 + 
       (58095857*s[49])/1056 - (20422735*s[50])/264 - (20905777*s[51])/3168 - 
       (5716835*s[52])/1056 + (64423507*s[53])/1188 + (955682*s[54])/99 + 
       (1119358639*s[55])/3168 + (781164763*s[56])/9504 - 
       (103688593*s[57])/7128 + (11209610837*s[58])/85536 - 
       (12158466707*s[59])/85536 - (16303469339*s[60])/19008 + 
       (31551108395*s[61])/769824 + 8*s[63] - (55*s[65])/4 - 53*s[66] + 
       80*s[67] + (457*s[68])/3 - 101*s[69] - 19*s[70] + (89*s[71])/4 + 
       95*s[72] + 506*s[73] - (159*s[74])/2 + (159*s[75])/2 + 
       (1127*s[76])/3 + 126*s[77] - (515*s[78])/2 - (2078*s[79])/3 - 
       (127*s[80])/36 - 4385*s[82] - (123*s[83])/4 - (207*s[84])/2 - 
       172*s[85])*\[Zeta][2] + HPL[{1}, 1 - w]*Omega2[v, w, u]*
      ((-128*s[2])/3 + (371*s[3])/3 + (8635*s[4])/6 - (26605*s[5])/66 + 
       (1675*s[6])/33 + (8849981*s[7])/1188 - (1542788*s[8])/891 - 
       (858473*s[9])/162 - (150265*s[10])/162 - (10915087*s[11])/1188 - 
       (7170643*s[12])/594 - (8888075*s[13])/1188 + (6157487*s[14])/1188 - 
       (933877*s[15])/108 - (7322719*s[16])/594 - (2109697*s[17])/396 + 
       (80849*s[18])/486 - (1382225*s[19])/486 - (51724289*s[20])/5346 - 
       (6233317*s[21])/10692 + (41306579*s[22])/10692 + (9623591*s[23])/594 + 
       (48022723*s[24])/5346 - (1435698355*s[25])/96228 + 
       (444241651*s[26])/96228 - 32*s[29] + 12*s[30] - (100*s[31])/3 - 
       (4*s[32])/3 + 27*s[33] - (8*s[34])/3 - 64*s[35] - 140*s[36] + 
       (625*s[37])/9 + 526*s[38] - 2573*s[39] + (7735*s[40])/3 - 
       (6208*s[41])/3 + 3902*s[42] + (16939*s[43])/11 - (23578*s[44])/11 + 
       (94847*s[45])/198 - (2177735*s[46])/198 + (134692*s[47])/99 - 
       (117989*s[48])/99 - (889198*s[49])/99 + (103090*s[50])/11 + 
       (82496*s[51])/33 + (164033*s[52])/99 - (3653401*s[53])/594 - 
       (158731*s[54])/99 - (3322741*s[55])/99 - (1572343*s[56])/297 + 
       (17428582*s[57])/891 - (98091481*s[58])/5346 + (53349581*s[59])/2673 + 
       (35307755*s[60])/396 - (259432715*s[61])/96228 - 8*s[65] - 32*s[66] + 
       48*s[67] + (52*s[68])/3 + 80*s[69] + 4*s[70] + 16*s[71] + 40*s[72] - 
       16*s[73] - 38*s[74] + 38*s[75] + (116*s[76])/3 - 16*s[77] + 44*s[78] - 
       (200*s[79])/3 + (614*s[80])/9 - 200*s[82] - 160*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*Omega2[u, v, w]*((-115*s[2])/3 + (433*s[3])/3 + 
       (9413*s[4])/6 - (11203*s[5])/33 + (6026*s[6])/33 + 
       (11229319*s[7])/1188 - (1662016*s[8])/891 - (563519*s[9])/81 - 
       (265577*s[10])/162 - (6748417*s[11])/594 - (17030341*s[12])/1188 - 
       (10473457*s[13])/1188 + (5945617*s[14])/1188 - (1259897*s[15])/108 - 
       (4729429*s[16])/297 - (1659949*s[17])/198 + (50*s[18])/243 - 
       (1710673*s[19])/486 - (36536342*s[20])/2673 - (19904759*s[21])/10692 + 
       (52371337*s[22])/10692 + (20642363*s[23])/1188 + 
       (124881301*s[24])/10692 - (1707278879*s[25])/96228 + 
       (579650411*s[26])/96228 - 32*s[29] + 12*s[30] - (98*s[31])/3 - 
       (5*s[32])/3 + 28*s[33] - (10*s[34])/3 - 64*s[35] - (416*s[36])/3 + 
       (575*s[37])/9 + 594*s[38] - 2713*s[39] + (8119*s[40])/3 - 
       (6572*s[41])/3 + (12148*s[42])/3 + (56293*s[43])/33 - 
       (75232*s[44])/33 + (130483*s[45])/198 - (2427163*s[46])/198 + 
       (132886*s[47])/99 - (109103*s[48])/99 - (975850*s[49])/99 + 
       (347590*s[50])/33 + (257512*s[51])/99 + (169013*s[52])/99 - 
       (4112705*s[53])/594 - (194093*s[54])/99 - (3818345*s[55])/99 - 
       (1778177*s[56])/297 + (16619228*s[57])/891 - (105047033*s[58])/5346 + 
       (57746383*s[59])/2673 + (120387757*s[60])/1188 - 
       (299656087*s[61])/96228 - 8*s[65] - 32*s[66] + 48*s[67] + 
       (56*s[68])/3 + 80*s[69] + 4*s[70] + 16*s[71] + 40*s[72] - 16*s[73] - 
       38*s[74] + 38*s[75] + (88*s[76])/3 - 16*s[77] + 44*s[78] - 
       (232*s[79])/3 + (742*s[80])/9 - 200*s[82] - 160*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*Omega2[w, u, v]*(-26*s[2] + (191*s[3])/2 + 
       (5523*s[4])/4 - (4159*s[5])/11 - (3449*s[6])/44 + (1950059*s[7])/264 - 
       (657595*s[8])/396 - (96325*s[9])/18 - (8821*s[10])/9 - 
       (2406541*s[11])/264 - (1574875*s[12])/132 - (1951265*s[13])/264 + 
       (1378397*s[14])/264 - (209465*s[15])/24 - (1615417*s[16])/132 - 
       (467461*s[17])/88 + (7139*s[18])/27 - (319439*s[19])/108 - 
       (11543165*s[20])/1188 - (1355401*s[21])/2376 + (9227777*s[22])/2376 + 
       (1021825*s[23])/66 + (5409677*s[24])/594 - (158143265*s[25])/10692 + 
       (48284387*s[26])/10692 - 32*s[29] + 12*s[30] - 26*s[31] - 4*s[32] + 
       48*s[33] - 18*s[34] - 58*s[35] - (487*s[36])/3 + (217*s[37])/3 + 
       548*s[38] - (10053*s[39])/4 + (29755*s[40])/12 - (7981*s[41])/4 + 
       (45191*s[42])/12 + (201353*s[43])/132 - (547303*s[44])/264 + 
       (16828*s[45])/33 - (476005*s[46])/44 + (1030751*s[47])/792 - 
       (929119*s[48])/792 - (7099421*s[49])/792 + (308582*s[50])/33 + 
       (1894129*s[51])/792 + (1248373*s[52])/792 - (811121*s[53])/132 - 
       (21702*s[54])/11 - (8895835*s[55])/264 - (3830095*s[56])/792 + 
       (10465045*s[57])/594 - (125232521*s[58])/7128 + 
       (138272675*s[59])/7128 + (423854363*s[60])/4752 - 
       (160880141*s[61])/64152 - 8*s[65] - 32*s[66] + 48*s[67] + 22*s[68] + 
       78*s[69] + 4*s[70] + 16*s[71] + 40*s[72] - 16*s[73] - 38*s[74] + 
       38*s[75] + 32*s[76] - 10*s[77] + 46*s[78] - 100*s[79] + 
       (320*s[80])/3 - 200*s[82] - 160*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      ((-1261*s[2])/3 - (223*s[3])/6 - (26785*s[4])/6 - (2154865*s[5])/528 - 
       (2293361*s[6])/264 - (788011033*s[7])/9504 + (9658669*s[8])/1782 + 
       (91150081*s[9])/1296 + (31970009*s[10])/1296 + 
       (433598287*s[11])/4752 + (923320831*s[12])/9504 + 
       (554914339*s[13])/9504 + (116944655*s[14])/9504 + 
       (99043463*s[15])/864 + (42710918*s[16])/297 + (184397071*s[17])/1584 + 
       (6327301*s[18])/486 + (64922293*s[19])/3888 + (7137191803*s[20])/
        42768 + (5232397037*s[21])/85536 - (3740744455*s[22])/85536 - 
       (741623477*s[23])/9504 - (8259864997*s[24])/85536 + 
       (88101919349*s[25])/769824 - (48751183439*s[26])/769824 - 16*s[29] + 
       (57*s[30])/4 - (625*s[31])/6 + (533*s[32])/6 - (105*s[33])/16 + 
       (2435*s[34])/12 + (25*s[35])/2 + (1210*s[36])/3 - (5089*s[37])/36 - 
       2949*s[38] + (161823*s[39])/16 - (541517*s[40])/48 + 
       (428095*s[41])/48 - (640253*s[42])/48 - (5972303*s[43])/528 + 
       (11181133*s[44])/1056 - (20476441*s[45])/1584 + (73600127*s[46])/792 - 
       (2015203*s[47])/3168 - (18367297*s[48])/3168 + 
       (165746755*s[49])/3168 - (9674135*s[50])/132 - (25610311*s[51])/3168 - 
       (20040371*s[52])/3168 + (60968399*s[53])/1188 + (5874767*s[54])/792 + 
       (1040254277*s[55])/3168 + (733001255*s[56])/9504 - 
       (127131457*s[57])/3564 + (11132142679*s[58])/85536 - 
       (11880943075*s[59])/85536 - (15194906459*s[60])/19008 + 
       (14841508265*s[61])/384912 - 8*s[63] - 4*s[65] - 20*s[66] + 24*s[67] + 
       (308*s[68])/3 - 128*s[69] - 22*s[70] + (11*s[71])/2 + 43*s[72] + 
       394*s[73] - (103*s[74])/4 + (103*s[75])/4 + (697*s[76])/3 + 
       (233*s[77])/2 - 241*s[78] - (1438*s[79])/3 - (55*s[80])/18 - 
       (6297*s[82])/2 - (45*s[83])/2 - 105*s[84] - 158*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      ((-925*s[2])/18 - (13139*s[3])/72 - (349483*s[4])/144 - 
       (2395199*s[5])/1584 - (12434269*s[6])/3168 - (1042442387*s[7])/28512 + 
       (269872403*s[8])/85536 + (237605497*s[9])/7776 + 
       (37302211*s[10])/3888 + (2308991435*s[11])/57024 + 
       (2541755497*s[12])/57024 + (47673971*s[13])/1782 + 
       (24642391*s[14])/7128 + (126182041*s[15])/2592 + 
       (887236633*s[16])/14256 + (33465195*s[17])/704 + 
       (146125229*s[18])/23328 + (144480151*s[19])/23328 + 
       (4604974831*s[20])/64152 + (3263577857*s[21])/128304 - 
       (4917451985*s[22])/256608 - (2457834155*s[23])/57024 - 
       (20796226807*s[24])/513216 + (240735057965*s[25])/4618944 - 
       (128795951573*s[26])/4618944 + (44*s[29])/3 - 5*s[30] - (46*s[31])/9 + 
       (287*s[32])/36 - (161*s[33])/12 + (316*s[34])/9 + 35*s[35] + 
       (797*s[36])/6 - (41095*s[37])/216 - (15389*s[38])/12 + 
       (80211*s[39])/16 - (791411*s[40])/144 + (150863*s[41])/36 - 
       (339499*s[42])/48 - (2364611*s[43])/528 + (4870367*s[44])/1056 - 
       (1527044*s[45])/297 + (187407053*s[46])/4752 - (15621769*s[47])/9504 - 
       (5629171*s[48])/9504 + (195594085*s[49])/9504 - (3985925*s[50])/132 - 
       (14702227*s[51])/3168 - (36170483*s[52])/9504 + 
       (301135249*s[53])/14256 + (319727*s[54])/1188 + 
       (1267957657*s[55])/9504 + (986757631*s[56])/28512 - 
       (1496563169*s[57])/42768 + (15756661145*s[58])/256608 - 
       (16097686157*s[59])/256608 - (6150224351*s[60])/19008 + 
       (19602370879*s[61])/1154736 + (8*s[65])/3 + (32*s[66])/3 - 16*s[67] - 
       (13*s[68])/18 - (79*s[69])/2 - (19*s[70])/6 - (11*s[71])/2 - 
       (41*s[72])/3 + (122*s[73])/3 + (55*s[74])/4 - (55*s[75])/4 + 
       (422*s[76])/9 + (33*s[77])/2 - (503*s[78])/6 - (2525*s[79])/9 + 
       (7103*s[80])/108 - (2684*s[82])/3 + (3*s[83])/2 - 105*s[84] - 
       (466*s[85])/3)*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
      (676*s[2] - 283*s[3] + 4259*s[4] + (84129*s[5])/22 + (157109*s[6])/22 + 
       (8190089*s[7])/99 - (1319905*s[8])/297 - (3786877*s[9])/54 - 
       (778126*s[10])/27 - (8883641*s[11])/99 - (9061519*s[12])/99 - 
       (601016*s[13])/11 - (1289762*s[14])/99 - (371365*s[15])/3 - 
       (9845305*s[16])/66 - (12796687*s[17])/99 - (686995*s[18])/81 - 
       (1936634*s[19])/81 - (300398233*s[20])/1782 - (106088953*s[21])/1782 + 
       (77869031*s[22])/1782 + (572020*s[23])/11 + (189810503*s[24])/1782 - 
       (1800741205*s[25])/16038 + (485264777*s[26])/8019 + 24*s[29] - 
       34*s[30] + 164*s[31] - 138*s[32] + (173*s[33])/2 - 322*s[34] - 
       28*s[35] - (1634*s[36])/3 - (436*s[37])/3 + 2616*s[38] - 
       (16853*s[39])/2 + (55459*s[40])/6 - (16453*s[41])/2 + 
       (61859*s[42])/6 + (788489*s[43])/66 - (1351777*s[44])/132 + 
       (390353*s[45])/33 - (1934759*s[46])/22 - (1067059*s[47])/396 + 
       (3548255*s[48])/396 - (22831511*s[49])/396 + (2480146*s[50])/33 + 
       (1985143*s[51])/396 + (1012159*s[52])/396 - (3519365*s[53])/66 - 
       (195204*s[54])/11 - (44440861*s[55])/132 - (24206077*s[56])/396 - 
       (10929449*s[57])/297 - (352001327*s[58])/3564 + 
       (424471181*s[59])/3564 + (1924987997*s[60])/2376 - 
       (1016947991*s[61])/32076 + 8*s[63] + 8*s[65] + 32*s[66] - 48*s[67] - 
       204*s[68] + 240*s[69] + 32*s[70] - 4*s[71] - 88*s[72] - 544*s[73] + 
       66*s[74] - 66*s[75] - 316*s[76] - 216*s[77] + 296*s[78] + 184*s[79] + 
       (856*s[80])/3 + 4616*s[82] - 3*s[83] + 42*s[84] - 152*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
      ((-77*s[2])/4 + (83*s[3])/8 - (29429*s[4])/16 - (325687*s[5])/264 - 
       (1851803*s[6])/528 - (285716053*s[7])/9504 + (33923797*s[8])/14256 + 
       (16421233*s[9])/648 + (1321217*s[10])/162 + (310915387*s[11])/9504 + 
       (41978437*s[12])/1188 + (67527739*s[13])/3168 + 
       (40208611*s[14])/9504 + (11692117*s[15])/288 + (40247573*s[16])/792 + 
       (380132561*s[17])/9504 + (10466183*s[18])/1944 + 
       (17579951*s[19])/3888 + (2551926767*s[20])/42768 + 
       (1844095681*s[21])/85536 - (1347395849*s[22])/85536 - 
       (26906639*s[23])/792 - (175710185*s[24])/5346 + 
       (2003462695*s[25])/48114 - (551978744*s[26])/24057 - (28*s[29])/3 - 
       12*s[30] - (65*s[31])/3 + (8*s[32])/3 - (137*s[33])/24 + 
       (20*s[34])/3 + (67*s[35])/6 + (385*s[36])/18 + (67*s[37])/6 - 
       (5123*s[38])/6 + (45047*s[39])/12 - (155027*s[40])/36 + 3496*s[41] - 
       (199627*s[42])/36 - (1390063*s[43])/396 + (5739445*s[44])/1584 - 
       (252119*s[45])/66 + (12248323*s[46])/396 - (4821833*s[47])/4752 - 
       (4391909*s[48])/4752 + (73124891*s[49])/4752 - (2359447*s[50])/99 - 
       (18152077*s[51])/4752 - (14331913*s[52])/4752 + 
       (19769237*s[53])/1188 - (496373*s[54])/396 + (55607273*s[55])/528 + 
       (134961785*s[56])/4752 - (179089165*s[57])/7128 + 
       (2019485275*s[58])/42768 - (2053220227*s[59])/42768 - 
       (7195271069*s[60])/28512 + (658039259*s[61])/48114 + 2*s[63] + 
       s[65]/3 + (4*s[66])/3 + (17*s[67])/3 + (26*s[68])/3 - (7*s[69])/3 + 
       (17*s[70])/3 + (29*s[71])/3 - (61*s[72])/3 - (88*s[73])/3 + 
       (73*s[74])/4 - (73*s[75])/4 + (58*s[76])/3 + (7*s[77])/6 - 
       (13*s[78])/3 - 470*s[79] + 104*s[80] + 26*s[82] - s[83] - 244*s[84] - 
       140*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*((313*s[2])/6 - (4907*s[3])/24 - (12475*s[4])/16 + 
       (75397*s[5])/528 - (494551*s[6])/1056 - (49435897*s[7])/9504 + 
       (29213653*s[8])/28512 + (9847739*s[9])/2592 + (987965*s[10])/1296 + 
       (114312457*s[11])/19008 + (144710699*s[12])/19008 + 
       (10774873*s[13])/2376 - (943633*s[14])/594 + (5132795*s[15])/864 + 
       (39853181*s[16])/4752 + (28443179*s[17])/6336 + (6276919*s[18])/7776 + 
       (6885629*s[19])/7776 + (22554550*s[20])/2673 + 
       (77332609*s[21])/42768 - (220404295*s[22])/85536 - 
       (206615797*s[23])/19008 - (888047069*s[24])/171072 + 
       (13906446247*s[25])/1539648 - (5605115599*s[26])/1539648 + 
       (44*s[29])/3 - 13*s[30] + (73*s[31])/3 - (19*s[32])/3 - (83*s[33])/6 - 
       (185*s[34])/6 + 11*s[35] + (17*s[36])/2 - (61*s[37])/8 - 
       (1963*s[38])/12 + (51983*s[39])/48 - (55927*s[40])/48 + 917*s[41] - 
       (41543*s[42])/24 - (329513*s[43])/528 + (128261*s[44])/132 - 
       (238331*s[45])/264 + (4158449*s[46])/528 - (1106135*s[47])/1584 + 
       (289307*s[48])/792 + (1345625*s[49])/396 - (810209*s[50])/132 - 
       (2097655*s[51])/1584 - (1480051*s[52])/1584 + (2222329*s[53])/528 - 
       (129787*s[54])/264 + (20696711*s[55])/792 + (11274187*s[56])/1584 - 
       (43668319*s[57])/4752 + (183682397*s[58])/14256 - 
       (44305997*s[59])/3564 - (583273541*s[60])/9504 + 
       (959832583*s[61])/256608 + (11*s[65])/3 + (44*s[66])/3 - 22*s[67] - 
       (37*s[68])/3 - (65*s[69])/3 - 2*s[70] - (53*s[71])/12 - 26*s[72] - 
       34*s[73] + (83*s[74])/4 - (83*s[75])/4 - (106*s[76])/3 + 5*s[77] - 
       2*s[78] - (83*s[79])/3 + (79*s[80])/4 - 305*s[82] - 24*s[84] - 
       132*s[85])*\[Zeta][2] + HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      ((-7913*s[2])/12 + (6835*s[3])/24 - (17879*s[4])/6 - 
       (2739155*s[5])/528 - (306875*s[6])/33 - (404219047*s[7])/4752 + 
       (48014227*s[8])/14256 + (47786407*s[9])/648 + (18401213*s[10])/648 + 
       (876966595*s[11])/9504 + (895354469*s[12])/9504 + 
       (134010881*s[13])/2376 + (25172549*s[14])/1188 + 
       (52593959*s[15])/432 + (177567385*s[16])/1188 + 
       (408672241*s[17])/3168 + (53787907*s[18])/3888 + 
       (68428523*s[19])/3888 + (7651815911*s[20])/42768 + 
       (2954697287*s[21])/42768 - (241075271*s[22])/5346 - 
       (553548583*s[23])/9504 - (8722162367*s[24])/85536 + 
       (85355982061*s[25])/769824 - (50619285727*s[26])/769824 - 53*s[29] + 
       (179*s[30])/4 - (613*s[31])/3 + (1295*s[32])/12 - (423*s[33])/16 + 
       (3451*s[34])/12 - 79*s[35] + (3523*s[36])/12 - (1231*s[37])/72 - 
       (11203*s[38])/4 + (125145*s[39])/16 - (143701*s[40])/16 + 
       (349367*s[41])/48 - (219001*s[42])/24 - (5921189*s[43])/528 + 
       (9715441*s[44])/1056 - (21782243*s[45])/1584 + (70826557*s[46])/792 + 
       (2173663*s[47])/1056 - (9737159*s[48])/1056 + (53181973*s[49])/1056 - 
       (18779221*s[50])/264 - (15809335*s[51])/3168 - (1431151*s[52])/352 + 
       (14848015*s[53])/297 + (8014657*s[54])/792 + (1037559247*s[55])/3168 + 
       (706621159*s[56])/9504 + (57894505*s[57])/14256 + 
       (9829678589*s[58])/85536 - (10763786465*s[59])/85536 - 
       (15112839191*s[60])/19008 + (7209307211*s[61])/192456 - 8*s[63] - 
       (71*s[65])/4 - 85*s[66] + (217*s[67])/2 + (490*s[68])/3 - 39*s[69] - 
       34*s[70] + (113*s[71])/4 + 130*s[72] + 473*s[73] - 96*s[74] + 
       96*s[75] + (1145*s[76])/3 + 140*s[77] - 204*s[78] - (1499*s[79])/3 - 
       (1633*s[80])/36 - 4151*s[82] - (123*s[83])/4 - (165*s[84])/2 - 
       130*s[85])*\[Zeta][2] + HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((-16285*s[2])/24 + (23315*s[3])/48 - (306431*s[4])/96 - 
       (3066413*s[5])/528 - (10733101*s[6])/1056 - (1765635193*s[7])/19008 + 
       (112265759*s[8])/28512 + (104621855*s[9])/1296 + (9830809*s[10])/324 + 
       (1912276931*s[11])/19008 + (979101413*s[12])/9504 + 
       (1169399167*s[13])/19008 + (437140721*s[14])/19008 + 
       (228985895*s[15])/1728 + (1545802019*s[16])/9504 + 
       (98414963*s[17])/704 + (61413247*s[18])/3888 + 
       (138614719*s[19])/7776 + (16701589519*s[20])/85536 + 
       (13029942143*s[21])/171072 - (8440064407*s[22])/171072 - 
       (326910491*s[23])/4752 - (4678194559*s[24])/42768 + 
       (2904252908*s[25])/24057 - (27805466591*s[26])/384912 - 61*s[29] + 
       (211*s[30])/4 - (664*s[31])/3 + (1301*s[32])/12 - (55*s[33])/4 + 
       (4075*s[34])/12 - (301*s[35])/4 + (4049*s[36])/12 - (5759*s[37])/36 - 
       3077*s[38] + (36607*s[39])/4 - (31186*s[40])/3 + (200173*s[41])/24 - 
       (537451*s[42])/48 - (1580923*s[43])/132 + (5383879*s[44])/528 - 
       (1410704*s[45])/99 + (37847717*s[46])/396 + (957115*s[47])/792 - 
       (6664235*s[48])/792 + (85221733*s[49])/1584 - (19953143*s[50])/264 - 
       (10089061*s[51])/1584 - (8306987*s[52])/1584 + (63223939*s[53])/1188 + 
       (908696*s[54])/99 + (274436407*s[55])/792 + (382003577*s[56])/4752 - 
       (11136899*s[57])/891 + (5455823761*s[58])/42768 - 
       (5939586811*s[59])/42768 - (7972632047*s[60])/9504 + 
       (15386728453*s[61])/384912 - (59*s[65])/4 - 57*s[66] + (177*s[67])/2 + 
       (430*s[68])/3 - 81*s[69] - (47*s[70])/2 + (93*s[71])/4 + 
       (197*s[72])/2 + (985*s[73])/2 - (657*s[74])/8 + (657*s[75])/8 + 
       (1154*s[76])/3 + (519*s[77])/4 - 254*s[78] - (2066*s[79])/3 - 
       (101*s[80])/18 - 4151*s[82] - (123*s[83])/4 - (165*s[84])/2 - 
       130*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*((-3781*s[2])/72 + (21383*s[3])/144 - 
       (687887*s[4])/288 - (80569*s[5])/36 - (1704107*s[6])/288 - 
       (237235685*s[7])/5184 + (25325083*s[8])/7776 + (9519572*s[9])/243 + 
       (23050721*s[10])/1944 + (259685197*s[11])/5184 + 
       (35305633*s[12])/648 + (171151847*s[13])/5184 + 
       (44931997*s[14])/5184 + (307975277*s[15])/5184 + 
       (197203333*s[16])/2592 + (33953695*s[17])/576 + 
       (111429145*s[18])/11664 + (111549775*s[19])/23328 + 
       (2154159557*s[20])/23328 + (1637975935*s[21])/46656 - 
       (1127037011*s[22])/46656 - (137377637*s[23])/2592 - 
       (1116221773*s[24])/23328 + (6545117065*s[25])/104976 - 
       (3787669525*s[26])/104976 - (37*s[29])/3 - (17*s[30])/4 - 
       (313*s[31])/9 + (515*s[32])/36 + (331*s[33])/8 + (493*s[34])/36 - 
       (341*s[35])/12 - (419*s[36])/12 - (6941*s[37])/108 - (3743*s[38])/3 + 
       (62719*s[39])/12 - (110305*s[40])/18 + (85951*s[41])/18 - 
       (62039*s[42])/8 - (618689*s[43])/132 + (2567795*s[44])/528 - 
       (2997139*s[45])/594 + (48257261*s[46])/1188 - (2165519*s[47])/1188 - 
       (1206143*s[48])/1188 + (11470663*s[49])/594 - (7816367*s[50])/264 - 
       (726355*s[51])/132 - (22739917*s[52])/4752 + (144861851*s[53])/7128 - 
       (2524145*s[54])/594 + (617567453*s[55])/4752 + 
       (283232689*s[56])/7128 - (2160222923*s[57])/42768 + 
       (8691367513*s[58])/128304 - (8481868195*s[59])/128304 - 
       (508306027*s[60])/1584 + (10718372003*s[61])/577368 + 8*s[63] - 
       (11*s[65])/12 - (17*s[66])/3 + (37*s[67])/6 + (28*s[68])/9 + 
       21*s[69] + (3*s[70])/2 + (235*s[71])/12 - (45*s[72])/2 - (5*s[73])/2 + 
       (479*s[74])/24 - (479*s[75])/24 + (230*s[76])/9 - (17*s[77])/12 - 
       (68*s[78])/3 - (7868*s[79])/9 + (16249*s[80])/54 + (1645*s[82])/3 - 
       (75*s[83])/4 - (673*s[84])/2 - (382*s[85])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      ((-1589*s[2])/6 + (925*s[3])/12 - (34285*s[4])/24 - 
       (1229401*s[5])/528 - (141733*s[6])/33 - (362632099*s[7])/9504 + 
       (11627131*s[8])/7128 + (42618757*s[9])/1296 + (16340585*s[10])/1296 + 
       (97952765*s[11])/2376 + (399797767*s[12])/9504 + 
       (237726397*s[13])/9504 + (90163853*s[14])/9504 + 
       (47484557*s[15])/864 + (39952849*s[16])/594 + (5146813*s[17])/88 + 
       (3091987*s[18])/486 + (29881339*s[19])/3888 + (3423227689*s[20])/
        42768 + (2659376735*s[21])/85536 - (1718755105*s[22])/85536 - 
       (273565541*s[23])/9504 - (3859979149*s[24])/85536 + 
       (38144855513*s[25])/769824 - (22789607987*s[26])/769824 - 20*s[29] + 
       (121*s[30])/4 - (565*s[31])/6 + (269*s[32])/6 + (379*s[33])/16 + 
       (1475*s[34])/12 - 52*s[35] + (1363*s[36])/12 - (2527*s[37])/36 - 
       1212*s[38] + (12541*s[39])/4 - (22171*s[40])/6 + (70133*s[41])/24 - 
       (20881*s[42])/6 - (166487*s[43])/33 + (1026583*s[44])/264 - 
       (10776523*s[45])/1584 + (65485297*s[46])/1584 + (2008579*s[47])/1584 - 
       (7315373*s[48])/1584 + (4322539*s[49])/198 - (4291523*s[50])/132 - 
       (339487*s[51])/198 - (308303*s[52])/198 + (110969603*s[53])/4752 + 
       (3362603*s[54])/792 + (245310499*s[55])/1584 + (87217829*s[56])/2376 + 
       (37320205*s[57])/7128 + (2272396079*s[58])/42768 - 
       (1251450253*s[59])/21384 - (3488522053*s[60])/9504 + 
       (14178827251*s[61])/769824 - 10*s[65] - 38*s[66] + 56*s[67] + 
       (254*s[68])/3 - 18*s[69] - (13*s[70])/2 + (31*s[71])/2 + 65*s[72] + 
       220*s[73] - (237*s[74])/4 + (237*s[75])/4 + (478*s[76])/3 + 70*s[77] - 
       (201*s[78])/2 - (679*s[79])/3 + (232*s[80])/9 - 2209*s[82] - 
       12*s[83] + 12*s[84] - 120*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      ((-3*s[2])/2 - (959*s[3])/12 + (3059*s[4])/24 - (14979*s[5])/88 - 
       (5825*s[6])/44 - (4543103*s[7])/4752 - (98074*s[8])/891 + 
       (546197*s[9])/648 + (526207*s[10])/648 + (3637951*s[11])/4752 + 
       (251129*s[12])/1188 - (498103*s[13])/4752 + (6355027*s[14])/4752 + 
       (980467*s[15])/432 + (5477509*s[16])/2376 + (5325857*s[17])/1584 + 
       (510067*s[18])/1944 + (734915*s[19])/1944 + (68427035*s[20])/21384 + 
       (66625219*s[21])/42768 - (18437477*s[22])/42768 + (841837*s[23])/594 - 
       (14938751*s[24])/10692 + (122415487*s[25])/384912 - 
       (304120771*s[26])/384912 + 2*s[29] + s[30] + (35*s[31])/3 + 
       (19*s[32])/3 + (133*s[33])/4 - 10*s[34] - (68*s[35])/3 + 
       (329*s[36])/18 - (275*s[37])/36 + (269*s[38])/3 - (10801*s[39])/24 + 
       (31639*s[40])/72 - (8825*s[41])/24 + (53393*s[42])/72 + 
       (55349*s[43])/792 - (252997*s[44])/1584 - (410191*s[45])/792 + 
       (405835*s[46])/396 + (2149955*s[47])/4752 - (3270955*s[48])/4752 - 
       (1369229*s[49])/4752 - (105323*s[50])/99 + (2433121*s[51])/4752 + 
       (2414755*s[52])/4752 + (1037945*s[53])/1188 + (153845*s[54])/198 + 
       (11703781*s[55])/1584 + (794773*s[56])/528 + (2616032*s[57])/297 - 
       (11160521*s[58])/14256 + (6061397*s[59])/14256 - 
       (375690703*s[60])/28512 + (21353845*s[61])/21384 + (40*s[68])/3 - 
       (50*s[69])/3 + 2*s[70] - s[71]/2 + 6*s[72] + 14*s[73] - (29*s[74])/6 + 
       (29*s[75])/6 - 6*s[76] + (38*s[77])/3 - (44*s[78])/3 + 16*s[79] + 
       (265*s[80])/18 - 644*s[82] - 6*s[83] + 24*s[84] - 120*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - w]*
      ((-467*s[2])/6 + (2047*s[3])/24 + (14015*s[4])/16 - (100481*s[5])/528 - 
       (23555*s[6])/132 + (39058511*s[7])/9504 - (14924821*s[8])/14256 - 
       (254735*s[9])/81 - (10345*s[10])/324 - (23750879*s[11])/4752 - 
       (32481709*s[12])/4752 - (4985989*s[13])/1188 + (2039663*s[14])/594 - 
       (3917599*s[15])/864 - (57798317*s[16])/9504 - (642713*s[17])/396 - 
       (37294*s[18])/243 - (4102559*s[19])/3888 - (221624393*s[20])/42768 - 
       (5914811*s[21])/42768 + (23428447*s[22])/10692 + 
       (108728761*s[23])/9504 + (345834689*s[24])/85536 - 
       (6495333463*s[25])/769824 + (1954768339*s[26])/769824 - (40*s[29])/3 + 
       17*s[30] - (59*s[31])/3 + (32*s[32])/3 + (188*s[33])/3 + 
       (31*s[34])/6 - 26*s[35] - (175*s[36])/3 + (1991*s[37])/24 + 
       (4169*s[38])/12 - (5434*s[39])/3 + 1775*s[40] - (11447*s[41])/8 + 
       (69005*s[42])/24 + (15803*s[43])/22 - (215177*s[44])/176 + 
       (13941*s[45])/176 - (3155869*s[46])/528 + (2320937*s[47])/1584 - 
       (2857819*s[48])/1584 - (6988991*s[49])/1584 + (111741*s[50])/22 + 
       (3318415*s[51])/1584 + (2280871*s[52])/1584 - (214573*s[53])/66 - 
       (48079*s[54])/264 - (6743813*s[55])/396 - (4100359*s[56])/1584 + 
       (82077961*s[57])/4752 - (84461527*s[58])/7128 + 
       (86511295*s[59])/7128 + (103096751*s[60])/2376 - 
       (155248145*s[61])/128304 - (7*s[65])/3 - (28*s[66])/3 + 18*s[67] + 
       (68*s[68])/3 - (2*s[69])/3 - 8*s[70] + (91*s[71])/12 + 34*s[72] + 
       58*s[73] - (143*s[74])/4 + (143*s[75])/4 + (122*s[76])/3 + 24*s[77] - 
       28*s[78] + (49*s[79])/3 + (839*s[80])/12 - 618*s[82] - 12*s[83] + 
       72*s[84] - 116*s[85])*\[Zeta][2] + HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w]*((-452*s[2])/3 + (707*s[3])/3 + 
       (10519*s[4])/6 - (48271*s[5])/66 - (2183*s[6])/33 + 
       (6381677*s[7])/1188 - (2020919*s[8])/891 - (508001*s[9])/162 + 
       (158603*s[10])/162 - (8807065*s[11])/1188 - (3481364*s[12])/297 - 
       (8769647*s[13])/1188 + (9228671*s[14])/1188 - (379069*s[15])/108 - 
       (4406671*s[16])/594 + (683581*s[17])/396 + (11987*s[18])/486 - 
       (689051*s[19])/486 - (16945469*s[20])/5346 + (25326935*s[21])/10692 + 
       (28642703*s[22])/10692 + (6792796*s[23])/297 + (12177848*s[24])/2673 - 
       (1341404917*s[25])/96228 + (306959029*s[26])/96228 - 48*s[29] + 
       24*s[30] - (196*s[31])/3 + (56*s[32])/3 + 12*s[33] + (124*s[34])/3 - 
       76*s[35] - 124*s[36] + (1207*s[37])/9 + 604*s[38] - 3179*s[39] + 
       (9541*s[40])/3 - (7189*s[41])/3 + 4993*s[42] + (15437*s[43])/11 - 
       (51187*s[44])/22 + (70325*s[45])/198 - (2279105*s[46])/198 + 
       (233113*s[47])/99 - (236576*s[48])/99 - (813739*s[49])/99 + 
       (97072*s[50])/11 + (37618*s[51])/11 + (508027*s[52])/198 - 
       (3380185*s[53])/594 + (48272*s[54])/99 - (2937655*s[55])/99 - 
       (2128774*s[56])/297 + (32281126*s[57])/891 - (129408373*s[58])/5346 + 
       (63797540*s[59])/2673 + (32104043*s[60])/396 - 
       (332245517*s[61])/96228 - 12*s[65] - 48*s[66] + 72*s[67] + 
       (148*s[68])/3 + 80*s[69] + 4*s[70] + 20*s[71] + 64*s[72] + 32*s[73] - 
       56*s[74] + 56*s[75] + (224*s[76])/3 - 4*s[77] + 44*s[78] - 
       (200*s[79])/3 + (266*s[80])/9 - 632*s[82] - 112*s[85])*\[Zeta][2] + 
     HPL[{0, 0, 0, 0, 1}, 1 - u]*((-488*s[2])/3 + (779*s[3])/3 + 
       (10087*s[4])/6 - (39409*s[5])/66 + (3952*s[6])/33 + 
       (7072271*s[7])/1188 - (2063396*s[8])/891 - (589277*s[9])/162 + 
       (147323*s[10])/162 - (9345475*s[11])/1188 - (3579398*s[12])/297 - 
       (8917181*s[13])/1188 + (8614733*s[14])/1188 - (488359*s[15])/108 - 
       (5040175*s[16])/594 + (210115*s[17])/396 - (80021*s[18])/243 - 
       (529721*s[19])/486 - (25194929*s[20])/5346 + (15717029*s[21])/10692 + 
       (31578905*s[22])/10692 + (14525873*s[23])/594 + 
       (12622022*s[24])/2673 - (1381678741*s[25])/96228 + 
       (367777153*s[26])/96228 - 48*s[29] + 24*s[30] - (196*s[31])/3 + 
       (35*s[32])/3 + 12*s[33] + (124*s[34])/3 - 76*s[35] - 132*s[36] + 
       (2155*s[37])/9 + 552*s[38] - 3213*s[39] + (9673*s[40])/3 - 
       (7057*s[41])/3 + 5079*s[42] + 1377*s[43] - (4747*s[44])/2 + 
       (9025*s[45])/18 - (217213*s[46])/18 + (21272*s[47])/9 - 
       (22705*s[48])/9 - (70790*s[49])/9 + 9008*s[50] + 3365*s[51] + 
       (47183*s[52])/18 - (332597*s[53])/54 + (10054*s[54])/9 - 
       (294458*s[55])/9 - (232973*s[56])/27 + (3036155*s[57])/81 - 
       (12391895*s[58])/486 + (6138613*s[59])/243 + (2969129*s[60])/36 - 
       (35621677*s[61])/8748 - 12*s[65] - 48*s[66] + 72*s[67] + 
       (124*s[68])/3 + 68*s[69] + 4*s[70] + 20*s[71] + 64*s[72] + 32*s[73] - 
       56*s[74] + 56*s[75] + (224*s[76])/3 - 16*s[77] + 44*s[78] - 
       (200*s[79])/3 + (326*s[80])/9 - 632*s[82] - 112*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*((-721*s[2])/6 + 
       (1757*s[3])/12 + (29131*s[4])/24 - (85607*s[5])/132 - 
       (102469*s[6])/264 + (13120043*s[7])/4752 - (11702677*s[8])/7128 - 
       (208229*s[9])/162 + (147461*s[10])/162 - (20302237*s[11])/4752 - 
       (4435681*s[12])/594 - (22673711*s[13])/4752 + (30535655*s[14])/4752 - 
       (438613*s[15])/432 - (1019285*s[16])/297 + (5021039*s[17])/1584 + 
       (168691*s[18])/243 - (2946113*s[19])/1944 + (7569031*s[20])/21384 + 
       (139845029*s[21])/42768 + (58583675*s[22])/42768 + 
       (3975181*s[23])/297 + (33501761*s[24])/10692 - 
       (1756028867*s[25])/192456 + (226145111*s[26])/192456 - 38*s[29] + 
       15*s[30] - (178*s[31])/3 + (38*s[32])/3 - 6*s[33] + (139*s[34])/3 - 
       67*s[35] - (271*s[36])/3 + (1367*s[37])/18 + 458*s[38] - 
       (4613*s[39])/2 + (13309*s[40])/6 - (10175*s[41])/6 + (10721*s[42])/3 + 
       (65113*s[43])/66 - (437533*s[44])/264 - (53243*s[45])/396 - 
       (2585797*s[46])/396 + (1358923*s[47])/792 - (1476569*s[48])/792 - 
       (4839553*s[49])/792 + (348763*s[50])/66 + (1958779*s[51])/792 + 
       (1388609*s[52])/792 - (1920997*s[53])/594 - (6947*s[54])/198 - 
       (11737679*s[55])/792 - (4766669*s[56])/2376 + (84535765*s[57])/3564 - 
       (299821933*s[58])/21384 + (303614947*s[59])/21384 + 
       (218877425*s[60])/4752 - (217333123*s[61])/192456 - 9*s[65] - 
       42*s[66] + 54*s[67] + (190*s[68])/3 + 60*s[69] + 26*s[70] + 17*s[71] + 
       46*s[72] + 34*s[73] - (85*s[74])/2 + (85*s[75])/2 + (224*s[76])/3 - 
       23*s[77] + 14*s[78] - (548*s[79])/3 + (605*s[80])/9 - 632*s[82] - 
       112*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*
      ((-248*s[2])/3 + (209*s[3])/3 + (19655*s[4])/12 + (12187*s[5])/132 + 
       (55409*s[6])/66 + (4152926*s[7])/297 - (4285915*s[8])/1782 - 
       (897565*s[9])/81 - (629471*s[10])/324 - (19674661*s[11])/1188 - 
       (24593537*s[12])/1188 - (7536349*s[13])/594 + (5146319*s[14])/1188 - 
       (433552*s[15])/27 - (26570729*s[16])/1188 - (513939*s[17])/44 - 
       (404153*s[18])/243 - (648457*s[19])/243 - (60856039*s[20])/2673 - 
       (31651613*s[21])/5346 + (79217657*s[22])/10692 + 
       (31458397*s[23])/1188 + (157864781*s[24])/10692 - 
       (2324802613*s[25])/96228 + (977328391*s[26])/96228 - 46*s[29] + 
       15*s[30] - (136*s[31])/3 + (32*s[32])/3 + (229*s[33])/4 + 
       (13*s[34])/3 - 76*s[35] - (476*s[36])/3 + (1417*s[37])/9 + 904*s[38] - 
       4060*s[39] + 4080*s[40] - (9280*s[41])/3 + (18376*s[42])/3 + 
       (75844*s[43])/33 - (102910*s[44])/33 + (258773*s[45])/198 - 
       (3650951*s[46])/198 + (168193*s[47])/66 - (145439*s[48])/66 - 
       (809939*s[49])/66 + (470116*s[50])/33 + (818579*s[51])/198 + 
       (35044*s[52])/11 - (5630443*s[53])/594 + (1052*s[54])/99 - 
       (10679525*s[55])/198 - (7415135*s[56])/594 + (35380402*s[57])/891 - 
       (91527521*s[58])/2673 + (185001391*s[59])/5346 + 
       (83598113*s[60])/594 - (593209607*s[61])/96228 - 12*s[65] - 44*s[66] + 
       72*s[67] + (214*s[68])/3 + 62*s[69] + 28*s[70] + 20*s[71] + 64*s[72] + 
       32*s[73] - 56*s[74] + 56*s[75] + (230*s[76])/3 - 32*s[77] + 40*s[78] - 
       (296*s[79])/3 + (650*s[80])/9 - 632*s[82] - 112*s[85])*\[Zeta][2] + 
     HPL[{0, 0, 0, 0, 1}, 1 - v]*(-2*s[1] - (35*s[2])/3 + (665*s[3])/3 + 
       (10465*s[4])/6 - (25826*s[5])/33 - (181*s[6])/66 + 
       (6623009*s[7])/1188 - (3945061*s[8])/1782 - (550751*s[9])/162 + 
       (83356*s[10])/81 - (9013165*s[11])/1188 - (7093291*s[12])/594 - 
       (9000869*s[13])/1188 + (9100493*s[14])/1188 - (384295*s[15])/108 - 
       (2233961*s[16])/297 + (753647*s[17])/396 - (27302*s[18])/243 - 
       (492185*s[19])/486 - (19781675*s[20])/5346 + (26317619*s[21])/10692 + 
       (30633125*s[22])/10692 + (13937747*s[23])/594 + 
       (23171413*s[24])/5346 - (686415473*s[25])/48114 + 
       (149983865*s[26])/48114 - 48*s[29] + 24*s[30] + (74*s[31])/3 + 
       (44*s[32])/3 + (279*s[33])/2 - (164*s[34])/3 - 44*s[35] - 
       (314*s[36])/3 + (1645*s[37])/9 + 570*s[38] - (6385*s[39])/2 + 
       (6397*s[40])/2 - (14243*s[41])/6 + (30233*s[42])/6 + (8011*s[43])/6 - 
       (27977*s[44])/12 + (3713*s[45])/9 - (211441*s[46])/18 + 
       (9589*s[47])/4 - (9957*s[48])/4 - (94057*s[49])/12 + (26432*s[50])/3 + 
       (123215*s[51])/36 + (31213*s[52])/12 - (315185*s[53])/54 + 
       (10258*s[54])/9 - (1095707*s[55])/36 - (857291*s[56])/108 + 
       (5976343*s[57])/162 - (24030445*s[58])/972 + (23403343*s[59])/972 + 
       (17496409*s[60])/216 - (31868893*s[61])/8748 - 12*s[65] - 48*s[66] + 
       72*s[67] + (142*s[68])/3 + 74*s[69] + 4*s[70] + 20*s[71] + 64*s[72] + 
       32*s[73] - 56*s[74] + 56*s[75] - (46*s[76])/3 - 10*s[77] + 56*s[78] - 
       (128*s[79])/3 + (764*s[80])/9 - 632*s[82] - 112*s[85])*\[Zeta][2] + 
     HPL[{0, 0, 0, 0, 1}, 1 - w]*((-440*s[2])/3 + (767*s[3])/3 + 
       (5189*s[4])/3 - (43501*s[5])/66 + (4901*s[6])/66 + 
       (3320035*s[7])/594 - (4035085*s[8])/1782 - (547433*s[9])/162 + 
       (167147*s[10])/162 - (2238400*s[11])/297 - (3497855*s[12])/297 - 
       (2184011*s[13])/297 + (2187005*s[14])/297 - (104788*s[15])/27 - 
       (4595731*s[16])/594 + (248525*s[17])/198 - (93121*s[18])/486 - 
       (287296*s[19])/243 - (10222471*s[20])/2673 + (10580041*s[21])/5346 + 
       (14795113*s[22])/5346 + (6946351*s[23])/297 + (11692841*s[24])/2673 - 
       (1344414019*s[25])/96228 + (329481247*s[26])/96228 - 48*s[29] + 
       18*s[30] - (196*s[31])/3 + (44*s[32])/3 + 12*s[33] + (124*s[34])/3 - 
       12*s[35] - (314*s[36])/3 + (1645*s[37])/9 + 570*s[38] - 
       (6385*s[39])/2 + (6425*s[40])/2 - (14243*s[41])/6 + (30233*s[42])/6 + 
       (8011*s[43])/6 - (27977*s[44])/12 + (3839*s[45])/9 - 
       (211441*s[46])/18 + (9589*s[47])/4 - (9957*s[48])/4 - 
       (94057*s[49])/12 + (26432*s[50])/3 + (123215*s[51])/36 + 
       (31213*s[52])/12 - (315185*s[53])/54 + (9682*s[54])/9 - 
       (1094051*s[55])/36 - (852107*s[56])/108 + (5993839*s[57])/162 - 
       (24036925*s[58])/972 + (23409823*s[59])/972 + (17478697*s[60])/216 - 
       (32038021*s[61])/8748 - 12*s[65] - 48*s[66] + 72*s[67] + 
       (142*s[68])/3 + 90*s[69] + 4*s[70] + 20*s[71] + 64*s[72] + 32*s[73] - 
       56*s[74] + 56*s[75] - (46*s[76])/3 - 10*s[77] + 56*s[78] - 
       (128*s[79])/3 + (764*s[80])/9 - 632*s[82] - 112*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      ((-277*s[2])/6 - (691*s[3])/12 - (60787*s[4])/48 - (148873*s[5])/264 - 
       (574039*s[6])/264 - (169537133*s[7])/9504 + (12255257*s[8])/7128 + 
       (18967349*s[9])/1296 + (774317*s[10])/162 + (93976763*s[11])/4752 + 
       (207935897*s[12])/9504 + (125956139*s[13])/9504 + 
       (17416831*s[14])/9504 + (20207119*s[15])/864 + 
       (144446155*s[16])/4752 + (12229573*s[17])/528 + (2811601*s[18])/972 + 
       (11976155*s[19])/3888 + (740935951*s[20])/21384 + 
       (1027943113*s[21])/85536 - (794035019*s[22])/85536 - 
       (200164933*s[23])/9504 - (1712427089*s[24])/85536 + 
       (19699057657*s[25])/769824 - (10388902141*s[26])/769824 + 8*s[29] + 
       (26*s[31])/3 + (14*s[32])/3 + (97*s[33])/4 - (92*s[34])/3 + 9*s[35] - 
       7*s[36] - (1259*s[37])/36 - (2247*s[38])/4 + (42289*s[39])/16 - 
       (146147*s[40])/48 + (114221*s[41])/48 - (62529*s[42])/16 - 
       (401683*s[43])/176 + (931003*s[44])/352 - (3269243*s[45])/1584 + 
       (15002371*s[46])/792 - (2678047*s[47])/3168 - (1513873*s[48])/3168 + 
       (33780499*s[49])/3168 - (642387*s[50])/44 - (939063*s[51])/352 - 
       (6168203*s[52])/3168 + (23519951*s[53])/2376 - (334475*s[54])/792 + 
       (195072481*s[55])/3168 + (156135883*s[56])/9504 - 
       (18778118*s[57])/891 + (2577579647*s[58])/85536 - 
       (2604413111*s[59])/85536 - (982876913*s[60])/6336 + 
       (3037255213*s[61])/384912 + 2*s[65] + 12*s[66] - 16*s[67] + 
       (4*s[68])/3 - 34*s[69] - 12*s[70] - 5*s[71] - 22*s[72] + 30*s[73] + 
       (21*s[74])/2 - (21*s[75])/2 - (46*s[76])/3 + 29*s[77] - 20*s[78] - 
       (1076*s[79])/3 + (1763*s[80])/9 - (2059*s[82])/2 - (15*s[83])/2 - 
       39*s[84] - 108*s[85])*\[Zeta][2] + M1[u, v, w]*
      ((70*s[2])/3 - (83*s[3])/6 + (5729*s[4])/12 - (7457*s[5])/132 - 
       (1178*s[6])/33 + (8596711*s[7])/2376 - (452003*s[8])/891 - 
       (910459*s[9])/324 - (337409*s[10])/324 - (10041701*s[11])/2376 - 
       (5791895*s[12])/1188 - (7099405*s[13])/2376 + (3347989*s[14])/2376 - 
       (1136351*s[15])/216 - (7822223*s[16])/1188 - (398459*s[17])/88 + 
       (262717*s[18])/972 - (1747741*s[19])/972 - (62328049*s[20])/10692 - 
       (22651679*s[21])/21384 + (41514733*s[22])/21384 + 
       (4622659*s[23])/1188 + (55949633*s[24])/10692 - 
       (1214331413*s[25])/192456 + (424561829*s[26])/192456 - 8*s[29] - 
       (4*s[31])/3 - (25*s[32])/3 + 20*s[33] - (68*s[34])/3 - 26*s[35] - 
       (238*s[36])/3 + (53*s[37])/18 + 208*s[38] - (1889*s[39])/2 + 
       (5695*s[40])/6 - (5033*s[41])/6 + (8155*s[42])/6 + (52837*s[43])/66 - 
       (124733*s[44])/132 + (107731*s[45])/396 - (1967047*s[46])/396 + 
       (17492*s[47])/99 - (2471*s[48])/198 - (463436*s[49])/99 + 
       (155753*s[50])/33 + (149605*s[51])/198 + (138667*s[52])/396 - 
       (3752399*s[53])/1188 - (178753*s[54])/99 - (1762333*s[55])/99 - 
       (921125*s[56])/594 + (1234471*s[57])/891 - (62905361*s[58])/10692 + 
       (40839595*s[59])/5346 + (109433317*s[60])/2376 - 
       (169607203*s[61])/192456 - 2*s[65] - 8*s[66] + 12*s[67] - 
       (20*s[68])/3 + 40*s[69] + 2*s[70] + 6*s[71] + 8*s[72] - 32*s[73] - 
       10*s[74] + 10*s[75] + (2*s[76])/3 - 14*s[77] + 22*s[78] - 
       (116*s[79])/3 + (515*s[80])/9 + 116*s[82] - 104*s[85])*\[Zeta][2] + 
     M1[v, w, u]*((62*s[2])/3 - (85*s[3])/6 + (6259*s[4])/12 - 
       (2353*s[5])/132 + (1219*s[6])/66 + (10502417*s[7])/2376 - 
       (990653*s[8])/1782 - (1137263*s[9])/324 - (414661*s[10])/324 - 
       (12130711*s[11])/2376 - (6912751*s[12])/1188 - (8420483*s[13])/2376 + 
       (3110147*s[14])/2376 - (1384477*s[15])/216 - (9468901*s[16])/1188 - 
       (4458101*s[17])/792 + (151685*s[18])/972 - (1921115*s[19])/972 - 
       (80005643*s[20])/10692 - (35265709*s[21])/21384 + 
       (50736803*s[22])/21384 + (5468933*s[23])/1188 + 
       (66324415*s[24])/10692 - (1428185185*s[25])/192456 + 
       (541642705*s[26])/192456 - 6*s[29] - (2*s[31])/3 - (23*s[32])/3 + 
       18*s[33] - (70*s[34])/3 - 26*s[35] - 78*s[36] + (247*s[37])/18 + 
       233*s[38] - 951*s[39] + (2819*s[40])/3 - (4939*s[41])/6 + 
       (2685*s[42])/2 + 789*s[43] - 922*s[44] + (12463*s[45])/36 - 
       (185497*s[46])/36 + (1759*s[47])/9 - (335*s[48])/9 - (41764*s[49])/9 + 
       4847*s[50] + (4529*s[51])/6 + (3287*s[52])/9 - (349931*s[53])/108 - 
       (33137*s[54])/18 - (167500*s[55])/9 - (99557*s[56])/54 + 
       (260951*s[57])/162 - (6115709*s[58])/972 + (1945112*s[59])/243 + 
       (3433639*s[60])/72 - (17540029*s[61])/17496 - 2*s[65] - 8*s[66] + 
       12*s[67] - (16*s[68])/3 + 36*s[69] + 2*s[70] + 6*s[71] + 8*s[72] - 
       32*s[73] - 10*s[74] + 10*s[75] - (2*s[76])/3 - 10*s[77] + 20*s[78] - 
       (100*s[79])/3 + (559*s[80])/9 + 116*s[82] - 104*s[85])*\[Zeta][2] + 
     M1[w, u, v]*(20*s[2] - (29*s[3])/2 + (1935*s[4])/4 - (2273*s[5])/44 - 
       (613*s[6])/22 + (2967313*s[7])/792 - (101407*s[8])/198 - 
       (105289*s[9])/36 - (39011*s[10])/36 - (384287*s[11])/88 - 
       (663317*s[12])/132 - (2432483*s[13])/792 + (121723*s[14])/88 - 
       (392077*s[15])/72 - (2694733*s[16])/396 - (3728647*s[17])/792 + 
       (2975*s[18])/12 - (65783*s[19])/36 - (268623*s[20])/44 - 
       (2749975*s[21])/2376 + (4776169*s[22])/2376 + (1582613*s[23])/396 + 
       (6396977*s[24])/1188 - (138582775*s[25])/21384 + 
       (49237975*s[26])/21384 - 8*s[29] - 7*s[32] + 20*s[33] - 24*s[34] - 
       26*s[35] - (233*s[36])/3 + (121*s[37])/6 + 235*s[38] - 
       (3641*s[39])/4 + (10559*s[40])/12 - (3051*s[41])/4 + 
       (15265*s[42])/12 + (96637*s[43])/132 - (224963*s[44])/264 + 
       (32777*s[45])/132 - (99021*s[46])/22 + (167083*s[47])/792 - 
       (70451*s[48])/792 - (3442825*s[49])/792 + (141505*s[50])/33 + 
       (562193*s[51])/792 + (279065*s[52])/792 - (31072*s[53])/11 - 
       (39085*s[54])/22 - (4193879*s[55])/264 - (960911*s[56])/792 + 
       (559918*s[57])/297 - (39274987*s[58])/7128 + (50676151*s[59])/7128 + 
       (199677865*s[60])/4752 - (10861663*s[61])/16038 - 2*s[65] - 8*s[66] + 
       12*s[67] - 2*s[68] + 32*s[69] + 2*s[70] + 6*s[71] + 8*s[72] - 
       32*s[73] - 10*s[74] + 10*s[75] - 8*s[76] - 6*s[77] + 26*s[78] - 
       40*s[79] + (217*s[80])/3 + 116*s[82] - 104*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*((-413*s[2])/3 + (653*s[3])/3 + 
       (81923*s[4])/48 - (158179*s[5])/264 + (87937*s[6])/528 + 
       (63242029*s[7])/9504 - (4008985*s[8])/1782 - (5584645*s[9])/1296 + 
       (646903*s[10])/1296 - (41492923*s[11])/4752 - (61398665*s[12])/4752 - 
       (19303105*s[13])/2376 + (33101009*s[14])/4752 - (4653191*s[15])/864 - 
       (91768795*s[16])/9504 - (56407*s[17])/132 - (1078697*s[18])/3888 - 
       (5929717*s[19])/3888 - (132771653*s[20])/21384 + 
       (42346529*s[21])/42768 + (71879047*s[22])/21384 + 
       (216329585*s[23])/9504 + (528811207*s[24])/85536 - 
       (1471935019*s[25])/96228 + (1641125221*s[26])/384912 - 42*s[29] + 
       20*s[30] - (184*s[31])/3 + (59*s[32])/3 + (47*s[33])/4 + 
       (121*s[34])/3 - 74*s[35] - (329*s[36])/3 + (1213*s[37])/9 + 
       605*s[38] - (50657*s[39])/16 + (50769*s[40])/16 - (115123*s[41])/48 + 
       (239749*s[42])/48 + (71135*s[43])/48 - (111653*s[44])/48 + 
       (66785*s[45])/144 - (870697*s[46])/72 + (111277*s[47])/48 - 
       (26921*s[48])/12 - (99617*s[49])/12 + (55171*s[50])/6 + 
       (494369*s[51])/144 + (5179*s[52])/2 - (2578453*s[53])/432 + 
       (6391*s[54])/9 - (4561427*s[55])/144 - (863651*s[56])/108 + 
       (2913464*s[57])/81 - (48520319*s[58])/1944 + (23794369*s[59])/972 + 
       (74298883*s[60])/864 - (133979263*s[61])/34992 - 11*s[65] - 43*s[66] + 
       64*s[67] + (136*s[68])/3 + 67*s[69] + 6*s[70] + 19*s[71] + 60*s[72] + 
       40*s[73] - 52*s[74] + 52*s[75] + (212*s[76])/3 + s[77] + 32*s[78] - 
       (188*s[79])/3 + (266*s[80])/9 - 601*s[82] - 3*s[83] + 6*s[84] - 
       104*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*((-464*s[2])/3 + (587*s[3])/2 - 
       (6251*s[4])/4 - (1249141*s[5])/528 - (394359*s[6])/88 - 
       (374581477*s[7])/9504 + (1874528*s[8])/891 + (44482249*s[9])/1296 + 
       (15057917*s[10])/1296 + (202293403*s[11])/4752 + 
       (422446975*s[12])/9504 + (252694699*s[13])/9504 + 
       (84582983*s[14])/9504 + (47156123*s[15])/864 + 
       (159986137*s[16])/2376 + (9820875*s[17])/176 + (7236167*s[18])/972 + 
       (22254673*s[19])/3888 + (3496671187*s[20])/42768 + 
       (2710626365*s[21])/85536 - (1795794967*s[22])/85536 - 
       (349335617*s[23])/9504 - (3747237721*s[24])/85536 + 
       (39854314373*s[25])/769824 - (23624602295*s[26])/769824 - 
       (92*s[29])/3 + (45*s[30])/4 - (497*s[31])/6 + (115*s[32])/6 - 
       (199*s[33])/48 + (397*s[34])/4 - 11*s[35] + (991*s[36])/12 - 
       (3307*s[37])/36 - 1466*s[38] + (30793*s[39])/6 - (70225*s[40])/12 + 
       (113675*s[41])/24 - (84227*s[42])/12 - (241399*s[43])/44 + 
       (1355465*s[44])/264 - (10420051*s[45])/1584 + (75079837*s[46])/1584 - 
       (941285*s[47])/1584 - (3870233*s[48])/1584 + (9729635*s[49])/396 - 
       (1628305*s[50])/44 - (446425*s[51])/99 - (722423*s[52])/198 + 
       (123418175*s[53])/4752 + (940019*s[54])/792 + (264709579*s[55])/1584 + 
       (100155119*s[56])/2376 - (170269139*s[57])/7128 + 
       (2922050231*s[58])/42768 - (1530576319*s[59])/21384 - 
       (3810490609*s[60])/9504 + (15774863575*s[61])/769824 - 7*s[65] - 
       28*s[66] + (140*s[67])/3 + 34*s[68] + 32*s[69] + s[70]/6 + 
       (29*s[71])/2 + (83*s[72])/3 + (340*s[73])/3 - (37*s[74])/4 + 
       (37*s[75])/4 + 142*s[76] + (26*s[77])/3 - (117*s[78])/2 - 
       (1843*s[79])/3 + (580*s[80])/9 - 1469*s[82] - 14*s[83] - 272*s[84] - 
       96*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*((-193*s[2])/12 + (959*s[3])/6 + 
       (78331*s[4])/48 + (39043*s[5])/264 + (246769*s[6])/264 + 
       (139858625*s[7])/9504 - (15016055*s[8])/7128 - (15119411*s[9])/1296 - 
       (1959599*s[10])/648 - (80132939*s[11])/4752 - (189504629*s[12])/9504 - 
       (114983975*s[13])/9504 + (27391013*s[14])/9504 - 
       (16355707*s[15])/864 - (58569629*s[16])/2376 - (12638459*s[17])/792 - 
       (5950657*s[18])/3888 - (6928561*s[19])/1944 - (543822313*s[20])/
        21384 - (596413855*s[21])/85536 + (655761371*s[22])/85536 + 
       (217308505*s[23])/9504 + (1438946909*s[24])/85536 - 
       (18473684587*s[25])/769824 + (8041781509*s[26])/769824 - 24*s[29] + 
       8*s[30] - (80*s[31])/3 + (79*s[32])/12 + (57*s[33])/2 - (16*s[34])/3 - 
       62*s[35] - 126*s[36] + (1609*s[37])/18 + (2971*s[38])/4 - 
       (53159*s[39])/16 + (165125*s[40])/48 - (131087*s[41])/48 + 
       (79271*s[42])/16 + (402493*s[43])/176 - (995701*s[44])/352 + 
       (2449313*s[45])/1584 - (14303947*s[46])/792 + (5110717*s[47])/3168 - 
       (3517661*s[48])/3168 - (37752835*s[49])/3168 + (161006*s[50])/11 + 
       (1158715*s[51])/352 + (7468301*s[52])/3168 - (23724203*s[53])/2376 - 
       (92219*s[54])/99 - (186142471*s[55])/3168 - (116176075*s[56])/9504 + 
       (169465903*s[57])/7128 - (2491217255*s[58])/85536 + 
       (2637424631*s[59])/85536 + (103304777*s[60])/704 - 
       (1165617269*s[61])/192456 - 6*s[65] - 24*s[66] + 36*s[67] + 
       (79*s[68])/6 + (111*s[69])/2 + 4*s[70] + 14*s[71] + 36*s[72] - 
       35*s[74] + 35*s[75] + (106*s[76])/3 - (23*s[77])/2 + 24*s[78] - 
       (16*s[79])/3 + (508*s[80])/9 - (345*s[82])/2 - 6*s[83] + 36*s[84] - 
       94*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*((-52*s[2])/3 + (1283*s[3])/24 + 
       (38357*s[4])/24 + (18449*s[5])/132 + (420905*s[6])/528 + 
       (70195969*s[7])/4752 - (28685347*s[8])/14256 - (15460811*s[9])/1296 - 
       (1959647*s[10])/648 - (161326003*s[11])/9504 - 
       (191452817*s[12])/9504 - (58285687*s[13])/4752 + 
       (7086929*s[14])/2376 - (8130137*s[15])/432 - (29063269*s[16])/1188 - 
       (48783463*s[17])/3168 - (2771675*s[18])/1944 - (857783*s[19])/243 - 
       (1096139783*s[20])/42768 - (148451557*s[21])/21384 + 
       (335207263*s[22])/42768 + (213116515*s[23])/9504 + 
       (1445097647*s[24])/85536 - (18579998047*s[25])/769824 + 
       (8014458631*s[26])/769824 - 18*s[29] + 8*s[30] - (11*s[31])/3 + 
       (10*s[32])/3 + (245*s[33])/4 - (112*s[34])/3 - 66*s[35] - 
       (793*s[36])/6 + (5117*s[37])/36 + (3167*s[38])/4 - (52441*s[39])/16 + 
       (162331*s[40])/48 - (128273*s[41])/48 + (229987*s[42])/48 + 
       (1258153*s[43])/528 - (2966849*s[44])/1056 + (2835377*s[45])/1584 - 
       (3761017*s[46])/198 + (4632827*s[47])/3168 - (2427523*s[48])/3168 - 
       (38716307*s[49])/3168 + (2028865*s[50])/132 + (9998135*s[51])/3168 + 
       (7295779*s[52])/3168 - (12352999*s[53])/1188 - (898435*s[54])/792 - 
       (197103385*s[55])/3168 - (125905339*s[56])/9504 + 
       (19907945*s[57])/891 - (2568548447*s[58])/85536 + 
       (2707131563*s[59])/85536 + (2987959519*s[60])/19008 - 
       (624202261*s[61])/96228 - 6*s[65] - 24*s[66] + 36*s[67] + 
       (91*s[68])/6 + (95*s[69])/2 + 8*s[70] + 12*s[71] + 36*s[72] - 
       4*s[73] - (129*s[74])/4 + (129*s[75])/4 + (37*s[76])/3 - (7*s[77])/2 + 
       31*s[78] + (170*s[79])/3 + (715*s[80])/9 - (345*s[82])/2 - 6*s[83] + 
       36*s[84] - 94*s[85])*\[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*
      ((175*s[2])/6 - (3889*s[3])/24 - (19351*s[4])/6 - (299071*s[5])/264 - 
       (1016443*s[6])/264 - (124089959*s[7])/3168 + (59631895*s[8])/14256 + 
       (20901877*s[9])/648 + (11826535*s[10])/1296 + (208605713*s[11])/4752 + 
       (237238303*s[12])/4752 + (71692579*s[13])/2376 - (175513*s[14])/1188 + 
       (43477613*s[15])/864 + (621489871*s[16])/9504 + 
       (110233465*s[17])/2376 + (24762469*s[18])/3888 + 
       (12710209*s[19])/1944 + (1568554315*s[20])/21384 + 
       (1044666179*s[21])/42768 - (878309431*s[22])/42768 - 
       (516367871*s[23])/9504 - (3612026465*s[24])/85536 + 
       (45052665943*s[25])/769824 - (22629781795*s[26])/769824 + 
       (149*s[29])/6 - (79*s[30])/4 + 11*s[31] + s[32]/6 - (1061*s[33])/48 + 
       (81*s[34])/4 + (157*s[35])/3 + (3275*s[36])/18 - (13865*s[37])/72 - 
       (19007*s[38])/12 + (162299*s[39])/24 - (531629*s[40])/72 + 
       (69469*s[41])/12 - (712447*s[42])/72 - (4302931*s[43])/792 + 
       (19474489*s[44])/3168 - (8990293*s[45])/1584 + (25551811*s[46])/528 - 
       (24932393*s[47])/9504 + (1620067*s[48])/9504 + 
       (247400159*s[49])/9504 - (29787121*s[50])/792 - 
       (63586993*s[51])/9504 - (49366837*s[52])/9504 + (2279969*s[53])/88 + 
       (4505*s[54])/132 + (510960905*s[55])/3168 + (391105597*s[56])/9504 - 
       (360668161*s[57])/7128 + (6564820979*s[58])/85536 - 
       (6690332549*s[59])/85536 - (22446333515*s[60])/57024 + 
       (15506765261*s[61])/769824 + (83*s[65])/12 + (83*s[66])/3 - 
       (122*s[67])/3 - 23*s[68] - (173*s[69])/3 - (11*s[70])/3 - 
       (113*s[71])/12 - (155*s[72])/3 + (94*s[73])/3 + (101*s[74])/2 - 
       (101*s[75])/2 + 11*s[76] + (52*s[77])/3 - (457*s[78])/6 - 
       (1348*s[79])/3 + (2929*s[80])/36 - 645*s[82] - (35*s[83])/4 - 
       (415*s[84])/2 - 92*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1}, 1 - w]*((291*s[2])/2 - (1297*s[3])/24 + (8941*s[4])/48 + 
       (322067*s[5])/528 + (791257*s[6])/1056 + (26228351*s[7])/3168 - 
       (876473*s[8])/9504 - (6247363*s[9])/864 - (1417291*s[10])/432 - 
       (56977145*s[11])/6336 - (54564751*s[12])/6336 - (8241565*s[13])/1584 - 
       (3392021*s[14])/1584 - (3768697*s[15])/288 - (24432271*s[16])/1584 - 
       (30660283*s[17])/2112 - (1957679*s[18])/2592 - (7091845*s[19])/2592 - 
       (125073871*s[20])/7128 - (49395367*s[21])/7128 + 
       (125811641*s[22])/28512 + (16945409*s[23])/6336 + 
       (643127257*s[24])/57024 - (5428786439*s[25])/513216 + 
       (3242087183*s[26])/513216 + (20*s[29])/3 - 10*s[30] + 47*s[31] - 
       (83*s[32])/3 + (17*s[33])/3 - (155*s[34])/2 + 19*s[35] - 
       (241*s[36])/3 + (2201*s[37])/72 + (3893*s[38])/12 - (10189*s[39])/16 + 
       (10589*s[40])/16 - (4305*s[41])/8 + (2001*s[42])/4 + 
       (719041*s[43])/528 - (165987*s[44])/176 + (235439*s[45])/198 - 
       (12077029*s[46])/1584 - (270445*s[47])/396 + (2257523*s[48])/1584 - 
       (9980741*s[49])/1584 + (849631*s[50])/132 - (87805*s[51])/792 - 
       (27997*s[52])/198 - (22351055*s[53])/4752 - (2239625*s[54])/792 - 
       (47902087*s[55])/1584 - (5286841*s[56])/1188 - 
       (102608789*s[57])/14256 - (156509887*s[58])/21384 + 
       (442595609*s[59])/42768 + (178334833*s[60])/2376 - 
       (1774851835*s[61])/769824 + (5*s[65])/3 + (20*s[66])/3 - 10*s[67] - 
       36*s[68] + (130*s[69])/3 - 2*s[70] - (17*s[71])/12 - 20*s[72] - 
       120*s[73] + (93*s[74])/4 - (93*s[75])/4 - (206*s[76])/3 - 32*s[77] + 
       78*s[78] - (289*s[79])/3 + (2657*s[80])/36 + 743*s[82] + 3*s[83] - 
       90*s[84] - 88*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*
      ((2273*s[2])/24 - (4685*s[3])/16 - (254885*s[4])/96 - 
       (57017*s[5])/176 - (925585*s[6])/352 - (492193783*s[7])/19008 + 
       (97965785*s[8])/28512 + (26840939*s[9])/1296 + (414772*s[10])/81 + 
       (559069421*s[11])/19008 + (330566201*s[12])/9504 + 
       (400395445*s[13])/19008 - (41732485*s[14])/19008 + 
       (54626441*s[15])/1728 + (404214155*s[16])/9504 + 
       (58069663*s[17])/2112 + (16536295*s[18])/3888 + 
       (30580825*s[19])/7776 + (3983075377*s[20])/85536 + 
       (2437746653*s[21])/171072 - (2298244501*s[22])/171072 - 
       (200853485*s[23])/4752 - (1156963063*s[24])/42768 + 
       (15621974081*s[25])/384912 - (1851023585*s[26])/96228 + 39*s[29] - 
       (111*s[30])/4 + 56*s[31] - (27*s[32])/4 - (59*s[33])/6 - 
       (671*s[34])/12 + (683*s[35])/12 + (3091*s[36])/36 - (313*s[37])/3 - 
       (3058*s[38])/3 + (123059*s[39])/24 - (403907*s[40])/72 + 
       (17469*s[41])/4 - (1136243*s[42])/144 - (2721775*s[43])/792 + 
       (6954113*s[44])/1584 - (822409*s[45])/264 + (12447593*s[46])/396 - 
       (6540755*s[47])/2376 + (1638125*s[48])/1188 + (79630447*s[49])/4752 - 
       (19041277*s[50])/792 - (26404133*s[51])/4752 - (20493971*s[52])/4752 + 
       (38594909*s[53])/2376 - (719881*s[54])/396 + (3248444*s[55])/33 + 
       (127824469*s[56])/4752 - (351065135*s[57])/7128 + 
       (2319568583*s[58])/42768 - (2287102685*s[59])/42768 - 
       (6972163111*s[60])/28512 + (5033263145*s[61])/384912 + 2*s[63] + 
       (107*s[65])/12 + (113*s[66])/3 - (323*s[67])/6 - (104*s[68])/3 - 
       (166*s[69])/3 - (5*s[70])/6 - (137*s[71])/12 - (395*s[72])/6 - 
       (125*s[73])/2 + (473*s[74])/8 - (473*s[75])/8 - 54*s[76] - 
       (25*s[77])/12 - (79*s[78])/3 - 368*s[79] + (421*s[80])/3 + 163*s[82] - 
       (11*s[83])/4 - (369*s[84])/2 - 86*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*(154*s[2] - (2855*s[3])/12 - 
       (41269*s[4])/16 - (147797*s[5])/528 - (1284059*s[6])/528 - 
       (230610833*s[7])/9504 + (74011*s[8])/22 + (1395649*s[9])/72 + 
       (35989*s[10])/8 + (10996111*s[11])/396 + (35090969*s[12])/1056 + 
       (192212311*s[13])/9504 - (8579929*s[14])/3168 + (24970571*s[15])/864 + 
       (93638821*s[16])/2376 + (116292631*s[17])/4752 + 
       (5186789*s[18])/1296 + (289588*s[19])/81 + (76459445*s[20])/1782 + 
       (366617935*s[21])/28512 - (39970565*s[22])/3168 - 
       (390384791*s[23])/9504 - (237864899*s[24])/9504 + 
       (9918474085*s[25])/256608 - (4622572027*s[26])/256608 + 35*s[29] - 
       (87*s[30])/4 + (188*s[31])/3 - (217*s[32])/12 + (1459*s[33])/48 - 
       (277*s[34])/4 + (371*s[35])/6 + (2839*s[36])/36 - (11225*s[37])/72 - 
       (12485*s[38])/12 + (238751*s[39])/48 - (780193*s[40])/144 + 
       (201043*s[41])/48 - (546667*s[42])/72 - (5180819*s[43])/1584 + 
       (13377733*s[44])/3168 - (5003209*s[45])/1584 + (1016203*s[46])/33 - 
       (25762595*s[47])/9504 + (12603535*s[48])/9504 + 
       (152672699*s[49])/9504 - (18607507*s[50])/792 - 
       (51323551*s[51])/9504 - (39914959*s[52])/9504 + (522187*s[53])/33 - 
       (476371*s[54])/264 + (305576317*s[55])/3168 + (254267449*s[56])/9504 - 
       (689560901*s[57])/14256 + (4566935231*s[58])/85536 - 
       (4474389023*s[59])/85536 - (13674700331*s[60])/57024 + 
       (4993058383*s[61])/384912 + (107*s[65])/12 + (113*s[66])/3 - 
       (335*s[67])/6 - (125*s[68])/3 - (145*s[69])/3 - (13*s[70])/3 - 
       (149*s[71])/12 - (185*s[72])/3 - (170*s[73])/3 + (697*s[74])/12 - 
       (697*s[75])/12 - (212*s[76])/3 - (37*s[77])/6 - (16*s[78])/3 - 
       (1141*s[79])/3 + (5785*s[80])/36 + 163*s[82] - (11*s[83])/4 - 
       (369*s[84])/2 - 86*s[85])*\[Zeta][2] + HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]^2*((-206*s[2])/3 + (799*s[3])/6 - (27511*s[4])/12 - 
       (469921*s[5])/264 - (1111711*s[6])/264 - (11506183*s[7])/297 + 
       (21561911*s[8])/7128 + (21288127*s[9])/648 + (6588275*s[10])/648 + 
       (25362781*s[11])/594 + (27644471*s[12])/594 + (33677197*s[13])/1188 + 
       (5104001*s[14])/1188 + (11114671*s[15])/216 + (77377345*s[16])/1188 + 
       (13271509*s[17])/264 + (12654539*s[18])/1944 + (1537373*s[19])/243 + 
       (202245020*s[20])/2673 + (584353993*s[21])/21384 - 
       (54714481*s[22])/2673 - (103248109*s[23])/2376 - 
       (915003653*s[24])/21384 + (21014762789*s[25])/384912 - 
       (11365635269*s[26])/384912 - 4*s[29] - (133*s[31])/3 + (41*s[32])/3 + 
       15*s[33] + (205*s[34])/3 + 13*s[35] + (281*s[36])/2 - 
       (5135*s[37])/36 - (3179*s[38])/2 + (45815*s[39])/8 - 
       (152737*s[40])/24 + (119503*s[41])/24 - (64351*s[42])/8 - 
       (479153*s[43])/88 + (950899*s[44])/176 - (4845523*s[45])/792 + 
       (4606880*s[46])/99 - (2297561*s[47])/1584 - (2177111*s[48])/1584 + 
       (38817455*s[49])/1584 - (795797*s[50])/22 - (2903053*s[51])/528 - 
       (6901315*s[52])/1584 + (29907313*s[53])/1188 + (138917*s[54])/396 + 
       (252857771*s[55])/1584 + (192570299*s[56])/4752 - 
       (123246089*s[57])/3564 + (3000483415*s[58])/42768 - 
       (3096529543*s[59])/42768 - (1226469721*s[60])/3168 + 
       (3811426055*s[61])/192456 - s[65] - 2*s[66] + 2*s[67] + (13*s[68])/3 - 
       10*s[69] - 5*s[70] + 9*s[71] - 4*s[72] + 76*s[73] + 15*s[74] - 
       15*s[75] + (212*s[76])/3 - 7*s[77] - 47*s[78] - (1436*s[79])/3 + 
       (793*s[80])/18 - 668*s[82] - 12*s[83] - 240*s[84] - 72*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*
      ((247*s[2])/18 + (941*s[3])/18 + (101933*s[4])/72 + (35822*s[5])/99 + 
       (1021345*s[6])/792 + (240697531*s[7])/14256 - (75731401*s[8])/42768 - 
       (53590595*s[9])/3888 - (18010129*s[10])/3888 - 
       (538125811*s[11])/28512 - (301711171*s[12])/14256 - 
       (362727515*s[13])/28512 + (13887413*s[14])/28512 - 
       (29327759*s[15])/1296 - (820607105*s[16])/28512 - 
       (200696741*s[17])/9504 - (21266605*s[18])/11664 - 
       (6316837*s[19])/1458 - (4031799191*s[20])/128304 - 
       (2454122917*s[21])/256608 + (2263892027*s[22])/256608 + 
       (531999805*s[23])/28512 + (5241046265*s[24])/256608 - 
       (29464879931*s[25])/1154736 + (3475977185*s[26])/288684 - 
       (28*s[29])/3 + (3*s[30])/2 - (155*s[31])/9 - (275*s[32])/36 - 
       (359*s[33])/24 + (155*s[34])/9 - (122*s[35])/3 - (69*s[36])/2 - 
       (142*s[37])/27 + (2669*s[38])/4 - 3011*s[39] + (29489*s[40])/9 - 
       (199675*s[41])/72 + (211511*s[42])/48 + (15263*s[43])/6 - 
       (138257*s[44])/48 + (342959*s[45])/216 - (4006859*s[46])/216 + 
       (400675*s[47])/432 + (81475*s[48])/432 - (1393201*s[49])/108 + 
       (30861*s[50])/2 + (26933*s[51])/9 + (840863*s[52])/432 - 
       (13386455*s[53])/1296 - (253031*s[54])/216 - (26350921*s[55])/432 - 
       (7730195*s[56])/648 + (29224307*s[57])/1944 - (309234329*s[58])/
        11664 + (166980451*s[59])/5832 + (34040009*s[60])/216 - 
       (1280787457*s[61])/209952 - (7*s[65])/3 - (28*s[66])/3 + 14*s[67] - 
       (161*s[68])/18 + (319*s[69])/6 + (19*s[70])/6 + (47*s[71])/12 + 
       (71*s[72])/3 - (98*s[73])/3 - (64*s[74])/3 + (64*s[75])/3 + 
       (256*s[76])/9 - (133*s[77])/6 + (17*s[78])/6 + (1268*s[79])/9 - 
       (2959*s[80])/54 - (85*s[82])/3 - 12*s[83] + 72*s[84] - (182*s[85])/3)*
      \[Zeta][2] + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*
      ((-241*s[2])/6 + (835*s[3])/24 - (4745*s[4])/48 - (39861*s[5])/88 - 
       (453679*s[6])/528 - (1607935*s[7])/264 + (1616933*s[8])/14256 + 
       (6991147*s[9])/1296 + (334225*s[10])/162 + (15211877*s[11])/2376 + 
       (7443875*s[12])/1188 + (8962079*s[13])/2376 + (11944435*s[14])/4752 + 
       (3803255*s[15])/432 + (25178399*s[16])/2376 + (5750483*s[17])/594 + 
       (2473249*s[18])/1944 + (3135409*s[19])/3888 + (72196307*s[20])/5346 + 
       (14908672*s[21])/2673 - (137756831*s[22])/42768 - 
       (16826699*s[23])/4752 - (297461429*s[24])/42768 + 
       (5601791429*s[25])/769824 - (3742428455*s[26])/769824 - (59*s[29])/6 + 
       (13*s[30])/4 - 18*s[31] + (29*s[32])/6 + (23*s[33])/48 + 
       (57*s[34])/4 - (40*s[35])/3 - (58*s[36])/9 + (221*s[37])/72 - 
       (1601*s[38])/12 + (5259*s[39])/16 - (64931*s[40])/144 + 
       (6081*s[41])/16 - (53509*s[42])/144 - (91175*s[43])/144 + 
       (135103*s[44])/288 - (35623*s[45])/36 + (277627*s[46])/48 + 
       (180997*s[47])/864 - (643517*s[48])/864 + (2086307*s[49])/864 - 
       (317803*s[50])/72 - (232819*s[51])/864 - (220093*s[52])/864 + 
       (151529*s[53])/48 - (280*s[54])/3 + (2073029*s[55])/96 + 
       (5154337*s[56])/864 + (601445*s[57])/648 + (58685423*s[58])/7776 - 
       (60557729*s[59])/7776 - (261677165*s[60])/5184 + 
       (201314081*s[61])/69984 - (29*s[65])/12 - (29*s[66])/3 + 
       (44*s[67])/3 + 10*s[68] + (47*s[69])/3 + (2*s[70])/3 + (59*s[71])/12 + 
       (29*s[72])/3 + (38*s[73])/3 - (15*s[74])/2 + (15*s[75])/2 + 25*s[76] + 
       (5*s[77])/3 + s[78]/6 - (332*s[79])/3 + (1007*s[80])/36 - 246*s[82] - 
       (7*s[83])/4 - (83*s[84])/2 - 56*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*Omega2[u, v, w]*((248*s[2])/3 - (458*s[3])/3 - 
       (1415*s[4])/3 + (9893*s[5])/33 - (3514*s[6])/33 + (25979*s[7])/594 + 
       (630125*s[8])/891 - (44564*s[9])/81 - (100417*s[10])/81 + 
       (269669*s[11])/594 + (600395*s[12])/297 + (795313*s[13])/594 - 
       (1435483*s[14])/594 - (121177*s[15])/54 - (380740*s[16])/297 - 
       (269825*s[17])/66 + (80063*s[18])/243 - (196958*s[19])/243 - 
       (6775550*s[20])/2673 - (9258229*s[21])/5346 + (839471*s[22])/5346 - 
       (2437876*s[23])/297 + (4775035*s[24])/2673 + (47113345*s[25])/24057 - 
       (274969*s[26])/24057 + 16*s[29] - 12*s[30] + (100*s[31])/3 - 
       (38*s[32])/3 + 13*s[33] - (136*s[34])/3 + 12*s[35] - (40*s[36])/3 - 
       (436*s[37])/9 - 100*s[38] + 779*s[39] - 815*s[40] + (1549*s[41])/3 - 
       (4063*s[42])/3 - (2395*s[43])/33 + (13336*s[44])/33 + 
       (2126*s[45])/99 + (180361*s[46])/99 - (32482*s[47])/33 + 
       (35465*s[48])/33 + (2518*s[49])/11 - (19222*s[50])/33 - 
       (107095*s[51])/99 - (32971*s[52])/33 + (90917*s[53])/297 - 
       (193544*s[54])/99 + (62209*s[55])/99 + (778594*s[56])/297 - 
       (14868475*s[57])/891 + (19749776*s[58])/2673 - (15199601*s[59])/2673 - 
       (1051492*s[60])/297 + (56372587*s[61])/48114 + 4*s[65] + 16*s[66] - 
       24*s[67] - (76*s[68])/3 - 8*s[69] - 4*s[71] - 24*s[72] - 48*s[73] + 
       18*s[74] - 18*s[75] - (116*s[76])/3 - 4*s[77] - (16*s[79])/3 + 
       (412*s[80])/9 + 432*s[82] - 48*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*Omega2[w, u, v]*((239*s[2])/3 - (590*s[3])/3 - 
       (1511*s[4])/3 + (21379*s[5])/66 - (7162*s[6])/33 - (10345*s[7])/594 + 
       (665498*s[8])/891 - (94039*s[9])/162 - (103915*s[10])/81 + 
       (638083*s[11])/1188 + (2558579*s[12])/1188 + (861241*s[13])/594 - 
       (1419001*s[14])/594 - (61805*s[15])/27 - (691835*s[16])/594 - 
       (1608271*s[17])/396 + (188095*s[18])/486 - (214511*s[19])/243 - 
       (13197235*s[20])/5346 - (9295711*s[21])/5346 + (848231*s[22])/5346 - 
       (10288105*s[23])/1188 + (19522561*s[24])/10692 + 
       (51117883*s[25])/24057 - (2226616*s[26])/24057 + 16*s[29] - 12*s[30] + 
       (106*s[31])/3 - (29*s[32])/3 + 16*s[33] - (142*s[34])/3 + 12*s[35] - 
       (28*s[36])/3 - (496*s[37])/9 - 48*s[38] + 681*s[39] - 729*s[40] + 
       (1279*s[41])/3 - (3775*s[42])/3 + (1607*s[43])/33 + (10081*s[44])/33 + 
       (13883*s[45])/99 + (91276*s[46])/99 - (11105*s[47])/11 + 
       (12666*s[48])/11 - (14521*s[49])/33 + (9836*s[50])/33 - 
       (100162*s[51])/99 - (32246*s[52])/33 - (78532*s[53])/297 - 
       (224462*s[54])/99 - (301736*s[55])/99 + (657361*s[56])/297 - 
       (15791701*s[57])/891 + (17634086*s[58])/2673 - (12315464*s[59])/2673 + 
       (1649948*s[60])/297 + (21824993*s[61])/24057 + 4*s[65] + 16*s[66] - 
       24*s[67] - (76*s[68])/3 - 8*s[69] - 4*s[71] - 24*s[72] - 48*s[73] + 
       18*s[74] - 18*s[75] - (140*s[76])/3 - 4*s[77] - (16*s[79])/3 + 
       (472*s[80])/9 + 432*s[82] - 48*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*Omega2[v, w, u]*((230*s[2])/3 - (997*s[3])/6 - 
       (5837*s[4])/12 + (22939*s[5])/66 - (19711*s[6])/132 + 
       (871337*s[7])/2376 + (2584001*s[8])/3564 - (72587*s[9])/81 - 
       (218093*s[10])/162 + (207545*s[11])/2376 + (1961495*s[12])/1188 + 
       (2657989*s[13])/2376 - (5811145*s[14])/2376 - (598591*s[15])/216 - 
       (2178247*s[16])/1188 - (3572803*s[17])/792 + (152425*s[18])/486 - 
       (903929*s[19])/972 - (35144111*s[20])/10692 - (43477999*s[21])/21384 + 
       (7683083*s[22])/21384 - (2442985*s[23])/297 + (6043714*s[24])/2673 + 
       (36856030*s[25])/24057 + (11745325*s[26])/48114 + 16*s[29] - 
       12*s[30] + (94*s[31])/3 - (38*s[32])/3 + 14*s[33] - (154*s[34])/3 + 
       6*s[35] - 29*s[36] - (370*s[37])/9 - 42*s[38] + (2791*s[39])/4 - 
       (9049*s[40])/12 + (5713*s[41])/12 - (5155*s[42])/4 + (1663*s[43])/44 + 
       (30479*s[44])/88 + (25039*s[45])/198 + (476629*s[46])/396 - 
       (787181*s[47])/792 + (873709*s[48])/792 - (231817*s[49])/792 - 
       (208*s[50])/11 - (279065*s[51])/264 - (759895*s[52])/792 - 
       (85939*s[53])/1188 - (223151*s[54])/99 - (1454701*s[55])/792 + 
       (5776079*s[56])/2376 - (30513335*s[57])/1782 + 
       (143576221*s[58])/21384 - (101799067*s[59])/21384 + 
       (4488673*s[60])/1584 + (202995235*s[61])/192456 + 4*s[65] + 16*s[66] - 
       24*s[67] - (70*s[68])/3 - 10*s[69] - 4*s[71] - 24*s[72] - 48*s[73] + 
       18*s[74] - 18*s[75] - (116*s[76])/3 - 2*s[77] - 2*s[78] - 
       (100*s[79])/3 + (670*s[80])/9 + 432*s[82] - 48*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      ((-19*s[2])/6 - (601*s[3])/24 - (1015*s[4])/16 - (13639*s[5])/44 - 
       (267095*s[6])/528 - (37977113*s[7])/9504 + (1723087*s[8])/14256 + 
       (2292955*s[9])/648 + (837407*s[10])/648 + (40721209*s[11])/9504 + 
       (5157793*s[12])/1188 + (24614651*s[13])/9504 + (13149649*s[14])/9504 + 
       (4816699*s[15])/864 + (32969539*s[16])/4752 + (18995681*s[17])/3168 + 
       (1722929*s[18])/1944 + (1944623*s[19])/3888 + (378605411*s[20])/
        42768 + (310644955*s[21])/85536 - (181495175*s[22])/85536 - 
       (14044583*s[23])/4752 - (191172451*s[24])/42768 + 
       (477270731*s[25])/96228 - (621017059*s[26])/192456 - 4*s[29] + 
       4*s[30] - (23*s[31])/6 - (5*s[32])/3 + (17*s[33])/4 + (65*s[34])/6 - 
       s[35] + (139*s[36])/12 - (659*s[37])/36 - (629*s[38])/6 + 
       (10415*s[39])/48 - (12323*s[40])/48 + (7739*s[41])/48 - 
       (3757*s[42])/16 - (189997*s[43])/528 + (289811*s[44])/1056 - 
       (481951*s[45])/792 + (5196575*s[46])/1584 + (312929*s[47])/3168 - 
       (1242097*s[48])/3168 + (4578109*s[49])/3168 - (329645*s[50])/132 - 
       (153907*s[51])/1056 - (478097*s[52])/3168 + (8289703*s[53])/4752 + 
       (127529*s[54])/396 + (37764809*s[55])/3168 + (29700133*s[56])/9504 - 
       (2736223*s[57])/7128 + (395808311*s[58])/85536 - 
       (401362265*s[59])/85536 - (182440421*s[60])/6336 + 
       (1232462201*s[61])/769824 - s[65] - 4*s[66] + 6*s[67] + (13*s[68])/6 + 
       (67*s[69])/6 - 3*s[70] + 2*s[71] + 4*s[72] - 7*s[73] - 3*s[74] + 
       3*s[75] + (5*s[76])/3 - s[77]/6 + (5*s[78])/2 - (23*s[79])/3 - 
       (275*s[80])/18 - 237*s[82] - 12*s[84] - 48*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      ((-87*s[2])/4 + (167*s[3])/12 - (1171*s[4])/24 - (45523*s[5])/264 - 
       (4159*s[6])/11 - (3336649*s[7])/1188 + (687947*s[8])/7128 + 
       (1554289*s[9])/648 + (704135*s[10])/648 + (7010743*s[11])/2376 + 
       (3420541*s[12])/1188 + (3956927*s[13])/2376 + (620221*s[14])/594 + 
       (914515*s[15])/216 + (12093971*s[16])/2376 + (1874341*s[17])/396 + 
       (993983*s[18])/1944 + (265795*s[19])/486 + (65770553*s[20])/10692 + 
       (53537785*s[21])/21384 - (3886912*s[22])/2673 - (4050559*s[23])/2376 - 
       (73012295*s[24])/21384 + (1291573295*s[25])/384912 - 
       (846132227*s[26])/384912 - 4*s[29] + 2*s[30] - (49*s[31])/6 + 
       (29*s[32])/12 + 14*s[33] - (19*s[34])/2 - (77*s[35])/6 - 
       (214*s[36])/9 + (545*s[37])/36 - (79*s[38])/2 + 155*s[39] - 
       (4363*s[40])/18 + (2525*s[41])/12 - (1867*s[42])/9 - 
       (12035*s[43])/36 + (20551*s[44])/72 - (15539*s[45])/36 + 
       (52139*s[46])/18 + (66413*s[47])/432 - (220339*s[48])/432 + 
       (637705*s[49])/432 - (171457*s[50])/72 - (30923*s[51])/432 - 
       (5653*s[52])/216 + (359569*s[53])/216 + (14147*s[54])/72 + 
       (527795*s[55])/48 + (44343*s[56])/16 + (233605*s[57])/216 + 
       (4422079*s[58])/1296 - (4836505*s[59])/1296 - (67927825*s[60])/2592 + 
       (115207*s[61])/81 - s[65] - 4*s[66] + 6*s[67] + (23*s[68])/3 + 
       (2*s[69])/3 - s[70] + (3*s[71])/2 + 4*s[72] + 18*s[73] - 
       (17*s[74])/3 + (17*s[75])/3 + 9*s[76] + (19*s[77])/3 - (7*s[78])/3 - 
       89*s[79] + (977*s[80])/18 - 237*s[82] - 12*s[84] - 48*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v]*
      (28*s[2] - 38*s[3] - (152*s[4])/3 - (3765*s[5])/22 - (31071*s[6])/88 - 
       (159353*s[7])/99 + (500893*s[8])/2376 + (309437*s[9])/216 + 
       (2293*s[10])/54 + (2901403*s[11])/1584 + (3539435*s[12])/1584 + 
       (1041631*s[13])/792 + (297695*s[14])/792 + (53671*s[15])/36 + 
       (901781*s[16])/396 + (651133*s[17])/528 + (525301*s[18])/648 - 
       (364513*s[19])/648 + (2974696*s[20])/891 + (11722373*s[21])/7128 - 
       (3032435*s[22])/3564 - (6671857*s[23])/1584 - (10767917*s[24])/14256 + 
       (280117561*s[25])/128304 - (201264205*s[26])/128304 - 10*s[32] - 
       67*s[37] - (197*s[38])/3 + (711*s[39])/4 - (695*s[40])/4 + 
       (89*s[41])/3 - (1625*s[42])/6 + (4421*s[43])/132 - (4157*s[44])/264 - 
       (14679*s[45])/44 + (40801*s[46])/33 - (321433*s[47])/792 + 
       (338633*s[48])/792 - (486821*s[49])/792 - (2642*s[50])/11 - 
       (25791*s[51])/88 - (297773*s[52])/792 + (27085*s[53])/99 - 
       (23055*s[54])/22 + (635089*s[55])/264 + (232247*s[56])/88 - 
       (252209*s[57])/33 + (10613303*s[58])/2376 - (8015465*s[59])/2376 - 
       (21288565*s[60])/4752 + (24884071*s[61])/21384 - 14*s[68] + 22*s[69] - 
       24*s[73] - 14*s[77] + 52*s[82] - 40*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - u]*(-6*s[2] - (81*s[3])/2 - 
       (1937*s[4])/12 - (2571*s[5])/44 - (37875*s[6])/88 - 
       (1784557*s[7])/792 + (633739*s[8])/2376 + (384725*s[9])/216 + 
       (13691*s[10])/27 + (3930559*s[11])/1584 + (4486175*s[12])/1584 + 
       (1343239*s[13])/792 + (316997*s[14])/792 + (187079*s[15])/72 + 
       (2893417*s[16])/792 + (1410745*s[17])/528 + (398065*s[18])/648 + 
       (37061*s[19])/648 + (7728425*s[20])/1782 + (11592497*s[21])/7128 - 
       (3970049*s[22])/3564 - (5598343*s[23])/1584 - (30319583*s[24])/14256 + 
       (405049987*s[25])/128304 - (233267491*s[26])/128304 + (31*s[33])/2 - 
       14*s[34] - 12*s[35] - 32*s[36] + (41*s[37])/6 - 19*s[38] + 
       (2855*s[39])/12 - (3959*s[40])/12 + (1495*s[41])/6 - (1151*s[42])/3 - 
       (31969*s[43])/132 + (5503*s[44])/22 - (8968*s[45])/33 + 
       (94993*s[46])/44 - (45455*s[47])/396 - (34129*s[48])/198 + 
       (143923*s[49])/198 - (43270*s[50])/33 - (43223*s[51])/132 - 
       (108745*s[52])/396 + (90946*s[53])/99 - (18257*s[54])/22 + 
       (2271925*s[55])/396 + (119103*s[56])/44 - (845203*s[57])/198 + 
       (4873529*s[58])/1188 - (4162823*s[59])/1188 - (36401141*s[60])/2376 + 
       (1191277*s[61])/891 + 3*s[71] - 3*s[74] + 3*s[75] + 4*s[77] - 
       6*s[78] - 60*s[79] + 59*s[80] + 52*s[82] - 40*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      ((-9*s[2])/2 - (71*s[3])/4 - (2969*s[4])/8 - (53791*s[5])/176 - 
       (45775*s[6])/66 - (20605433*s[7])/3168 + (1270603*s[8])/2376 + 
       (2375083*s[9])/432 + (767195*s[10])/432 + (697720*s[11])/99 + 
       (24057757*s[12])/3168 + (4736345*s[13])/1056 + (2922011*s[14])/3168 + 
       (855341*s[15])/96 + (2919943*s[16])/264 + (3483899*s[17])/396 + 
       (192415*s[18])/162 + (1289413*s[19])/1296 + (186207475*s[20])/14256 + 
       (134739017*s[21])/28512 - (97085215*s[22])/28512 - 
       (7732217*s[23])/1056 - (202909075*s[24])/28512 + 
       (2292798539*s[25])/256608 - (1267255505*s[26])/256608 - (3*s[30])/4 - 
       (3*s[31])/2 + s[32]/2 - (9*s[33])/16 + (5*s[34])/4 + (4*s[35])/3 + 
       (151*s[36])/12 - (145*s[37])/12 - (590*s[38])/3 + (3339*s[39])/4 - 
       (2822*s[40])/3 + (17821*s[41])/24 - 1221*s[42] - (50519*s[43])/66 + 
       (68883*s[44])/88 - (524693*s[45])/528 + (3875495*s[46])/528 - 
       (149483*s[47])/528 - (19409*s[48])/176 + (114442*s[49])/33 - 
       (759787*s[50])/132 - (29162*s[51])/33 - (85433*s[52])/132 + 
       (6470993*s[53])/1584 - (27871*s[54])/264 + (41035627*s[55])/1584 + 
       (5261903*s[56])/792 - (11017607*s[57])/2376 + (155676665*s[58])/
        14256 - (79780753*s[59])/7128 - (63886985*s[60])/1056 + 
       (847811809*s[61])/256608 - s[70]/2 + s[71]/2 - 3*s[72] + 
       (41*s[74])/12 - (41*s[75])/12 + (10*s[76])/3 + (4*s[77])/3 - 
       (5*s[78])/2 - 77*s[79] + (56*s[80])/3 - (439*s[82])/3 - 36*s[84] - 
       40*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*((-11*s[2])/4 - (223*s[3])/12 - (3359*s[4])/48 - 
       (33019*s[5])/264 - (21531*s[6])/88 - (6574927*s[7])/3168 + 
       (39395*s[8])/264 + (83993*s[9])/48 + (5429*s[10])/8 + 
       (1149295*s[11])/528 + (2318717*s[12])/1056 + (4013417*s[13])/3168 + 
       (540739*s[14])/1056 + (897589*s[15])/288 + (2918111*s[16])/792 + 
       (2606941*s[17])/792 + (153469*s[18])/432 + (87115*s[19])/216 + 
       (5179421*s[20])/1188 + (15618203*s[21])/9504 - (373793*s[22])/352 - 
       (4904791*s[23])/3168 - (7851619*s[24])/3168 + (228782735*s[25])/
        85536 - (135281429*s[26])/85536 - s[32]/12 - 4*s[34] - 7*s[35] + 
       (26*s[36])/3 + 12*s[37] - (487*s[38])/12 + (7159*s[39])/48 - 
       (2621*s[40])/16 + (6433*s[41])/48 - (9779*s[42])/48 - 
       (120653*s[43])/528 + (181285*s[44])/1056 - (207733*s[45])/528 + 
       (604349*s[46])/264 + (49*s[47])/352 - (159155*s[48])/1056 + 
       (1059035*s[49])/1056 - (61514*s[50])/33 - (508097*s[51])/3168 - 
       (72517*s[52])/1056 + (1144987*s[53])/792 + (12079*s[54])/66 + 
       (29279365*s[55])/3168 + (6489179*s[56])/3168 + (2689399*s[57])/2376 + 
       (76332079*s[58])/28512 - (86425543*s[59])/28512 - 
       (14132163*s[60])/704 + (8998637*s[61])/8019 - s[68]/6 + s[69]/6 + 
       s[71] - s[74]/2 + s[75]/2 + 2*s[76] - s[77]/6 + 24*s[79] - 
       (43*s[80])/3 - (911*s[82])/6 - 12*s[84] - 38*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      ((-41*s[2])/6 + (191*s[3])/8 - (1463*s[4])/12 - (8891*s[5])/66 - 
       (144719*s[6])/528 - (1135961*s[7])/396 + (1012999*s[8])/4752 + 
       (1063073*s[9])/432 + (190133*s[10])/216 + (9803071*s[11])/3168 + 
       (10315883*s[12])/3168 + (21349*s[13])/11 + (727721*s[14])/1584 + 
       (289939*s[15])/72 + (162298*s[16])/33 + (12874277*s[17])/3168 + 
       (126493*s[18])/324 + (96883*s[19])/162 + (82653353*s[20])/14256 + 
       (28995947*s[21])/14256 - (10878233*s[22])/7128 - (791793*s[23])/352 - 
       (96954125*s[24])/28512 + (1003118485*s[25])/256608 - 
       (539138317*s[26])/256608 - (7*s[31])/3 + (9*s[32])/2 - (9*s[33])/2 + 
       (8*s[34])/3 + (5*s[35])/3 + (187*s[36])/18 - (71*s[37])/36 - 
       (345*s[38])/4 + (16949*s[39])/48 - (57887*s[40])/144 + 
       (14755*s[41])/48 - (73243*s[42])/144 - (573877*s[43])/1584 + 
       (1156877*s[44])/3168 - (898343*s[45])/1584 + (123632*s[46])/33 - 
       (1033387*s[47])/9504 - (1251253*s[48])/9504 + (15642955*s[49])/9504 - 
       (295465*s[50])/99 - (3906695*s[51])/9504 - (2420615*s[52])/9504 + 
       (842189*s[53])/396 + (9169*s[54])/88 + (43241875*s[55])/3168 + 
       (32161865*s[56])/9504 - (2084933*s[57])/1782 + 
       (451440421*s[58])/85536 - (463058017*s[59])/85536 - 
       (1802728759*s[60])/57024 + (84896455*s[61])/48114 - (7*s[68])/6 + 
       (13*s[69])/6 + s[71] - 2*s[72] - 7*s[73] + (19*s[74])/12 - 
       (19*s[75])/12 + s[76]/3 - s[77]/6 - (7*s[78])/3 - (58*s[79])/3 - 
       (52*s[80])/9 - (911*s[82])/6 - 12*s[84] - 38*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*((-9*s[2])/2 - (71*s[3])/4 - 
       358*s[4] - (141325*s[5])/528 - (22438*s[6])/33 - (6406733*s[7])/1056 + 
       (1155403*s[8])/2376 + (2210761*s[9])/432 + (701459*s[10])/432 + 
       (1316555*s[11])/198 + (22983787*s[12])/3168 + (13746629*s[13])/3168 + 
       (2700353*s[14])/3168 + (2324249*s[15])/288 + (8125061*s[16])/792 + 
       (6291173*s[17])/792 + (735097*s[18])/648 + (1143025*s[19])/1296 + 
       (173312389*s[20])/14256 + (126046211*s[21])/28512 - 
       (90815509*s[22])/28512 - (21909685*s[23])/3168 - 
       (188793709*s[24])/28512 + (2163760865*s[25])/256608 - 
       (1199111255*s[26])/256608 - (3*s[30])/4 - (3*s[31])/2 + s[32]/2 - 
       (9*s[33])/16 + (5*s[34])/4 + (5*s[35])/6 + (53*s[36])/4 - 
       (29*s[37])/2 - (2393*s[38])/12 + (6505*s[39])/8 - (22007*s[40])/24 + 
       (1439*s[41])/2 - (28199*s[42])/24 - (64435*s[43])/88 + 
       (407035*s[44])/528 - (151127*s[45])/176 + (3502421*s[46])/528 - 
       (196253*s[47])/792 - (59995*s[48])/396 + (5253799*s[49])/1584 - 
       (672707*s[50])/132 - (1267667*s[51])/1584 - (1034171*s[52])/1584 + 
       (5593207*s[53])/1584 - (36167*s[54])/264 + (2968693*s[55])/132 + 
       (9498847*s[56])/1584 - (13504211*s[57])/2376 + (73286281*s[58])/7128 - 
       (148177181*s[59])/14256 - (258589013*s[60])/4752 + 
       (751075339*s[61])/256608 + s[70]/2 + s[71]/2 - 3*s[72] + 
       (11*s[74])/3 - (11*s[75])/3 + (13*s[76])/3 + (5*s[77])/6 - 
       (7*s[78])/2 - 79*s[79] + (109*s[80])/6 - (229*s[82])/2 - 36*s[84] - 
       34*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*
      ((-9*s[2])/2 - (71*s[3])/4 - (711*s[4])/2 - (48027*s[5])/176 - 
       (44983*s[6])/66 - (19265479*s[7])/3168 + (1152881*s[8])/2376 + 
       (2218445*s[9])/432 + (705583*s[10])/432 + (5274277*s[11])/792 + 
       (22973531*s[12])/3168 + (4580827*s[13])/1056 + (2715541*s[14])/3168 + 
       (778835*s[15])/96 + (678635*s[16])/66 + (3163645*s[17])/396 + 
       (737075*s[18])/648 + (1149497*s[19])/1296 + (173705117*s[20])/14256 + 
       (126408871*s[21])/28512 - (91036601*s[22])/28512 - 
       (7292459*s[23])/1056 - (189038009*s[24])/28512 + 
       (2165413237*s[25])/256608 - (1199459491*s[26])/256608 - (3*s[30])/4 - 
       (3*s[31])/2 + s[32]/2 - (9*s[33])/16 + (5*s[34])/4 + (5*s[35])/6 + 
       (38*s[36])/3 - (73*s[37])/4 - 199*s[38] + (38891*s[39])/48 - 
       (43867*s[40])/48 + (34393*s[41])/48 - (56183*s[42])/48 - 
       (128299*s[43])/176 + (809695*s[44])/1056 - (466813*s[45])/528 + 
       (1779311*s[46])/264 - (793081*s[47])/3168 - (466843*s[48])/3168 + 
       (10484461*s[49])/3168 - (228605*s[50])/44 - (2544785*s[51])/3168 - 
       (2061641*s[52])/3168 + (714191*s[53])/198 - (11565*s[54])/88 + 
       (72801967*s[55])/3168 + (6447745*s[56])/1056 - (2191397*s[57])/396 + 
       (98790121*s[58])/9504 - (99818581*s[59])/9504 - 
       (1050992125*s[60])/19008 + (4746787*s[61])/1584 + s[71]/2 - 3*s[72] + 
       (41*s[74])/12 - (41*s[75])/12 + (13*s[76])/3 + (5*s[77])/6 - 3*s[78] - 
       78*s[79] + (109*s[80])/6 - (229*s[82])/2 - 36*s[84] - 34*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      (-89*s[2] - (199*s[3])/6 - (3256*s[4])/3 - (3536*s[5])/3 - 
       (8861*s[6])/4 - (611431*s[7])/27 + (499009*s[8])/324 + 
       (6217735*s[9])/324 + (572831*s[10])/81 + (5335777*s[11])/216 + 
       (5633681*s[12])/216 + (414535*s[13])/27 + (420329*s[14])/108 + 
       (1730231*s[15])/54 + (2149091*s[16])/54 + (262441*s[17])/8 + 
       (863624*s[18])/243 + (2301767*s[19])/486 + (45317111*s[20])/972 + 
       (16693481*s[21])/972 - (2896234*s[22])/243 - (4253023*s[23])/216 - 
       (52516175*s[24])/1944 + (537277915*s[25])/17496 - 
       (302283019*s[26])/17496 + 4*s[29] + 10*s[30] - (16*s[31])/3 + 
       (64*s[32])/3 + 29*s[33] + 18*s[34] + (34*s[35])/3 + (1054*s[36])/9 - 
       (275*s[37])/9 - 731*s[38] + (10499*s[39])/4 - (104371*s[40])/36 + 
       (27511*s[41])/12 - (126809*s[42])/36 - (1107929*s[43])/396 + 
       (2147935*s[44])/792 - (1205141*s[45])/396 + (4511279*s[46])/198 - 
       (586637*s[47])/2376 - (2870303*s[48])/2376 + (31769429*s[49])/2376 - 
       (1803053*s[50])/99 - (4903069*s[51])/2376 - (3821977*s[52])/2376 + 
       (7580275*s[53])/594 + (409997*s[54])/198 + (21388159*s[55])/264 + 
       (1600589*s[56])/88 - (5132819*s[57])/594 + (226051601*s[58])/7128 - 
       (244967357*s[59])/7128 - (2805547721*s[60])/14256 + 
       (8193514*s[61])/891 - 4*s[67] + (76*s[68])/3 - (140*s[69])/3 - 
       2*s[71] + 4*s[72] + 68*s[73] - (7*s[74])/3 + (7*s[75])/3 + 32*s[76] + 
       (98*s[77])/3 - (128*s[78])/3 - 24*s[79] - (244*s[80])/9 - 866*s[82] - 
       32*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*((-20*s[2])/3 - 69*s[3] - (689*s[4])/12 - 
       (13931*s[5])/66 - (5336*s[6])/33 - (5121125*s[7])/2376 + 
       (274391*s[8])/1782 + (645371*s[9])/324 + (46427*s[10])/162 + 
       (2954837*s[11])/1188 + (6732893*s[12])/2376 + (4113335*s[13])/2376 + 
       (498175*s[14])/2376 + (567727*s[15])/216 + (1042486*s[16])/297 + 
       (147071*s[17])/66 + (581497*s[18])/972 - (22637*s[19])/486 + 
       (24820723*s[20])/5346 + (39576751*s[21])/21384 - 
       (26294723*s[22])/21384 - (7978009*s[23])/2376 - 
       (41103749*s[24])/21384 + (594880123*s[25])/192456 - 
       (342284845*s[26])/192456 - (28*s[31])/3 - 2*s[32] - 52*s[33] + 
       (136*s[34])/3 + 24*s[35] + (184*s[36])/3 - (1049*s[37])/9 - 
       (359*s[38])/3 + (3145*s[39])/12 - (2089*s[40])/12 + (287*s[41])/12 - 
       (4291*s[42])/12 + (4879*s[43])/44 + (1479*s[44])/88 - 
       (131465*s[45])/396 + (229453*s[46])/198 - (392873*s[47])/792 + 
       (602209*s[48])/792 - (237301*s[49])/792 - (43597*s[50])/66 - 
       (277067*s[51])/792 - (262483*s[52])/792 + (128923*s[53])/297 + 
       (6035*s[54])/99 + (303675*s[55])/88 + (3785323*s[56])/2376 - 
       (11583931*s[57])/1782 + (86368163*s[58])/21384 - 
       (71313395*s[59])/21384 - (32296147*s[60])/4752 + 
       (68451943*s[61])/96228 - 12*s[68] + (88*s[69])/3 - 6*s[71] - 
       48*s[73] + 6*s[74] - 6*s[75] + (20*s[76])/3 - (64*s[77])/3 + 
       (232*s[79])/3 - (898*s[80])/9 - 226*s[82] - 32*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*((-691*s[2])/6 - (55*s[3])/4 - 
       (29693*s[4])/24 - (85325*s[5])/88 - (92481*s[6])/44 - 
       (108351253*s[7])/4752 + (5476843*s[8])/3564 + (12478051*s[9])/648 + 
       (4756301*s[10])/648 + (117528989*s[11])/4752 + (7690384*s[12])/297 + 
       (72976291*s[13])/4752 + (16245821*s[14])/4752 + (14241533*s[15])/432 + 
       (95775965*s[16])/2376 + (5936939*s[17])/176 + (5796749*s[18])/1944 + 
       (10554097*s[19])/1944 + (991534273*s[20])/21384 + 
       (700513481*s[21])/42768 - (513963199*s[22])/42768 - 
       (22395239*s[23])/1188 - (296007835*s[24])/10692 + 
       (12010863173*s[25])/384912 - (6506888405*s[26])/384912 - 4*s[29] + 
       4*s[30] - 27*s[31] + 29*s[32] - (253*s[33])/12 + (139*s[34])/3 + 
       (17*s[35])/3 + (1009*s[36])/9 + s[37]/4 - (2104*s[38])/3 + 
       (32281*s[39])/12 - (108871*s[40])/36 + (10209*s[41])/4 - 
       (32453*s[42])/9 - (1233209*s[43])/396 + (596527*s[44])/198 - 
       (936167*s[45])/264 + (20874277*s[46])/792 + (193261*s[47])/2376 - 
       (4207421*s[48])/2376 + (36313931*s[49])/2376 - (4344625*s[50])/198 - 
       (5118919*s[51])/2376 - (1555085*s[52])/1188 + (9143183*s[53])/594 + 
       (1351421*s[54])/396 + (25829249*s[55])/264 + (48995471*s[56])/2376 - 
       (1208321*s[57])/1782 + (89925503*s[58])/2673 - 
       (801919471*s[59])/21384 - (833055407*s[60])/3564 + 
       (4046399405*s[61])/384912 - s[65]/3 + (2*s[66])/3 + (2*s[67])/3 + 
       (91*s[68])/3 - (166*s[69])/3 - s[70]/3 - (5*s[71])/3 + (8*s[72])/3 + 
       115*s[73] - s[74] + s[75] + 54*s[76] + (53*s[77])/3 - (190*s[78])/3 - 
       226*s[79] - (17*s[80])/2 - 1504*s[82] - 8*s[83] - 72*s[84] - 32*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
      ((80*s[2])/3 - (139*s[3])/4 - (21599*s[4])/48 - (54343*s[5])/264 - 
       (176131*s[6])/264 - (51911135*s[7])/9504 + (4530715*s[8])/7128 + 
       (2919977*s[9])/648 + (620083*s[10])/648 + (58528343*s[11])/9504 + 
       (68242063*s[12])/9504 + (781069*s[13])/176 + (375673*s[14])/4752 + 
       (1890433*s[15])/288 + (27704663*s[16])/3168 + (54908605*s[17])/9504 + 
       (4326047*s[18])/3888 + (904409*s[19])/1944 + (53998235*s[20])/5346 + 
       (150488983*s[21])/42768 - (121948001*s[22])/42768 - 
       (2306941*s[23])/264 - (28676257*s[24])/5346 + (1582918235*s[25])/
        192456 - (1639865653*s[26])/384912 + (9*s[29])/2 - (15*s[30])/4 + 
       (17*s[31])/3 - (35*s[32])/6 - (13*s[33])/48 - (43*s[34])/12 + 
       (29*s[35])/3 + (331*s[36])/18 - (665*s[37])/12 - (1541*s[38])/6 + 
       (3064*s[39])/3 - (19777*s[40])/18 + (6509*s[41])/8 - 
       (218773*s[42])/144 - (70954*s[43])/99 + (1307635*s[44])/1584 - 
       (233591*s[45])/264 + (5547743*s[46])/792 - (695117*s[47])/1188 + 
       (81187*s[48])/297 + (14823671*s[49])/4752 - (4003811*s[50])/792 - 
       (5315731*s[51])/4752 - (4565107*s[52])/4752 + (16758773*s[53])/4752 - 
       (81101*s[54])/99 + (17715905*s[55])/792 + (32425775*s[56])/4752 - 
       (37658471*s[57])/3564 + (132675493*s[58])/10692 - 
       (512162575*s[59])/42768 - (1535871941*s[60])/28512 + 
       (2491537415*s[61])/769824 + (13*s[65])/12 + (13*s[66])/3 - 
       (20*s[67])/3 - (35*s[68])/3 + (13*s[69])/3 - (2*s[70])/3 - 
       (4*s[71])/3 - (25*s[72])/3 - (52*s[73])/3 + (107*s[74])/12 - 
       (107*s[75])/12 - 5*s[76] - (22*s[77])/3 - (13*s[78])/6 - 57*s[79] + 
       (35*s[80])/3 + 60*s[82] - s[83]/4 - (69*s[84])/2 - 32*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*
      ((-141*s[2])/4 + (1177*s[3])/24 + (271*s[4])/8 - (70055*s[5])/176 - 
       (598727*s[6])/1056 - (20164715*s[7])/4752 - (432265*s[8])/9504 + 
       (3372205*s[9])/864 + (691273*s[10])/432 + (27781465*s[11])/6336 + 
       (25738267*s[12])/6336 + (5643887*s[13])/2376 + (1727249*s[14])/792 + 
       (687881*s[15])/108 + (71245115*s[16])/9504 + (137552663*s[17])/19008 + 
       (2488471*s[18])/2592 + (1381499*s[19])/2592 + (17672219*s[20])/1782 + 
       (20433673*s[21])/4752 - (65114945*s[22])/28512 - 
       (28838789*s[23])/19008 - (277665967*s[24])/57024 + 
       (800344631*s[25])/171072 - (587394587*s[26])/171072 - 9*s[29] + 
       (15*s[30])/4 - (53*s[31])/3 + (55*s[32])/12 + (187*s[33])/48 + 
       (223*s[34])/12 - (31*s[35])/3 - (155*s[36])/36 - (101*s[37])/72 - 
       (1061*s[38])/12 + (913*s[39])/6 - (8341*s[40])/36 + (9359*s[41])/48 - 
       (4607*s[42])/36 - (38750*s[43])/99 + (834247*s[44])/3168 - 
       (577085*s[45])/792 + (339127*s[46])/88 + (2043709*s[47])/9504 - 
       (5169959*s[48])/9504 + (14713829*s[49])/9504 - (2401417*s[50])/792 - 
       (936871*s[51])/9504 - (886687*s[52])/9504 + (3441301*s[53])/1584 + 
       (53071*s[54])/264 + (47822341*s[55])/3168 + (37281397*s[56])/9504 + 
       (27730825*s[57])/14256 + (400179629*s[58])/85536 - 
       (425784935*s[59])/85536 - (1966822205*s[60])/57024 + 
       (1468470869*s[61])/769824 - (29*s[65])/12 - (29*s[66])/3 + 
       (83*s[67])/6 + (32*s[68])/3 + (43*s[69])/3 + s[70]/3 + (47*s[71])/12 + 
       (32*s[72])/3 + (41*s[73])/3 - (19*s[74])/3 + (19*s[75])/3 + 
       (74*s[76])/3 + (10*s[78])/3 - 75*s[79] + (301*s[80])/36 - 238*s[82] - 
       (7*s[83])/4 - (81*s[84])/2 - 30*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*((-347*s[2])/8 + (1233*s[3])/16 + 
       (2141*s[4])/96 - (169315*s[5])/528 - (16810*s[6])/33 - 
       (74000741*s[7])/19008 - (57919*s[8])/891 + (9214307*s[9])/2592 + 
       (1012669*s[10])/648 + (37951625*s[11])/9504 + (69468365*s[12])/19008 + 
       (40513217*s[13])/19008 + (39570379*s[14])/19008 + 
       (10262599*s[15])/1728 + (65924233*s[16])/9504 + 
       (10762943*s[17])/1584 + (6001387*s[18])/7776 + (2420557*s[19])/3888 + 
       (780689675*s[20])/85536 + (662905213*s[21])/171072 - 
       (358692695*s[22])/171072 - (15690925*s[23])/19008 - 
       (803944793*s[24])/171072 + (6536334001*s[25])/1539648 - 
       (4767154177*s[26])/1539648 - 9*s[29] + (15*s[30])/4 - 18*s[31] + 
       (113*s[32])/12 + (19*s[33])/12 + (167*s[34])/12 - (191*s[35])/12 - 
       (337*s[36])/36 + 28*s[37] - (199*s[38])/3 + (1743*s[39])/16 - 
       (31691*s[40])/144 + (5239*s[41])/24 - (9655*s[42])/144 - 
       (729037*s[43])/1584 + (958475*s[44])/3168 - (111615*s[45])/176 + 
       (1451617*s[46])/396 + (3321899*s[47])/9504 - (7554703*s[48])/9504 + 
       (17228569*s[49])/9504 - (2357807*s[50])/792 - (217973*s[51])/9504 - 
       (97001*s[52])/9504 + (4976461*s[53])/2376 + (26773*s[54])/99 + 
       (15267103*s[55])/1056 + (33821593*s[56])/9504 + 
       (24659441*s[57])/7128 + (324873419*s[58])/85536 - 
       (366128861*s[59])/85536 - (1965864187*s[60])/57024 + 
       (1309270631*s[61])/769824 - (29*s[65])/12 - (29*s[66])/3 + 
       (83*s[67])/6 + (44*s[68])/3 + 9*s[69] + (5*s[70])/6 + (59*s[71])/12 + 
       (59*s[72])/6 + (45*s[73])/2 - (61*s[74])/8 + (61*s[75])/8 + 24*s[76] + 
       (61*s[77])/12 + s[78]/3 - 116*s[79] + (95*s[80])/3 - 238*s[82] - 
       (7*s[83])/4 - (81*s[84])/2 - 30*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w]*((-1621*s[2])/18 + 
       (4261*s[3])/72 + (57083*s[4])/144 - (898691*s[5])/1584 - 
       (134947*s[6])/198 - (102898679*s[7])/28512 - (16841765*s[8])/42768 + 
       (6746449*s[9])/1944 + (3875765*s[10])/1944 + (6538921*s[11])/1782 + 
       (38404441*s[12])/14256 + (21971383*s[13])/14256 + 
       (49075613*s[14])/14256 + (15902095*s[15])/2592 + 
       (204385739*s[16])/28512 + (39148669*s[17])/4752 + 
       (5290667*s[18])/5832 + (6698939*s[19])/11664 + 
       (1267978421*s[20])/128304 + (329303263*s[21])/64152 - 
       (251091859*s[22])/128304 + (70154657*s[23])/28512 - 
       (1212026663*s[24])/256608 + (6620026783*s[25])/2309472 - 
       (7557326203*s[26])/2309472 - (8*s[29])/3 + 13*s[30] - (346*s[31])/9 - 
       (34*s[32])/9 - (43*s[33])/6 + (1097*s[34])/18 - (28*s[35])/3 + 
       (107*s[36])/3 - (8041*s[37])/216 - (183*s[38])/4 - (1610*s[39])/3 + 
       (5473*s[40])/9 - (37325*s[41])/72 + (27223*s[42])/24 - 
       (11375*s[43])/66 - (122789*s[44])/528 - (4083125*s[45])/4752 + 
       (9108455*s[46])/4752 + (4188787*s[47])/4752 - (6521561*s[48])/4752 + 
       (2400239*s[49])/4752 - (41845*s[50])/33 + (1601623*s[51])/1584 + 
       (3068315*s[52])/4752 + (7715513*s[53])/7128 + (3261859*s[54])/2376 + 
       (23914633*s[55])/2376 + (38860853*s[56])/14256 + 
       (415741759*s[57])/42768 + (31727171*s[58])/64152 - 
       (33996745*s[59])/32076 - (54224875*s[60])/2376 + 
       (817003679*s[61])/577368 - (2*s[65])/3 - (8*s[66])/3 + 4*s[67] + 
       (145*s[68])/9 - (32*s[69])/3 - (17*s[70])/3 + (25*s[71])/12 + 
       (70*s[72])/3 + (134*s[73])/3 - (251*s[74])/12 + (251*s[75])/12 + 
       (782*s[76])/9 + (41*s[77])/3 - (151*s[78])/3 + (1159*s[79])/9 - 
       (10405*s[80])/108 - (2144*s[82])/3 - 12*s[83] + 72*s[84] - 
       (88*s[85])/3)*\[Zeta][2] + Nt[u, v, w]*((124*s[2])/3 - (229*s[3])/3 - 
       (1415*s[4])/6 + (9893*s[5])/66 - (1757*s[6])/33 + (25979*s[7])/1188 + 
       (630125*s[8])/1782 - (22282*s[9])/81 - (100417*s[10])/162 + 
       (269669*s[11])/1188 + (600395*s[12])/594 + (795313*s[13])/1188 - 
       (1435483*s[14])/1188 - (121177*s[15])/108 - (190370*s[16])/297 - 
       (269825*s[17])/132 + (80063*s[18])/486 - (98479*s[19])/243 - 
       (3387775*s[20])/2673 - (9258229*s[21])/10692 + (839471*s[22])/10692 - 
       (1218938*s[23])/297 + (4775035*s[24])/5346 + (47113345*s[25])/48114 - 
       (274969*s[26])/48114 + 8*s[29] - 6*s[30] + (50*s[31])/3 - 
       (19*s[32])/3 + (13*s[33])/2 - (68*s[34])/3 + 6*s[35] - (20*s[36])/3 - 
       (218*s[37])/9 - 50*s[38] + (779*s[39])/2 - (815*s[40])/2 + 
       (1549*s[41])/6 - (4063*s[42])/6 - (2395*s[43])/66 + (6668*s[44])/33 + 
       (1063*s[45])/99 + (180361*s[46])/198 - (16241*s[47])/33 + 
       (35465*s[48])/66 + (1259*s[49])/11 - (9611*s[50])/33 - 
       (107095*s[51])/198 - (32971*s[52])/66 + (90917*s[53])/594 - 
       (96772*s[54])/99 + (62209*s[55])/198 + (389297*s[56])/297 - 
       (14868475*s[57])/1782 + (9874888*s[58])/2673 - (15199601*s[59])/5346 - 
       (525746*s[60])/297 + (56372587*s[61])/96228 + 2*s[65] + 8*s[66] - 
       12*s[67] - (38*s[68])/3 - 4*s[69] - 2*s[71] - 12*s[72] - 24*s[73] + 
       9*s[74] - 9*s[75] - (58*s[76])/3 - 2*s[77] - (8*s[79])/3 + 
       (206*s[80])/9 + 216*s[82] - 24*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]*((-767*s[2])/3 + (1232*s[3])/3 + 
       (43021*s[4])/24 - (176861*s[5])/132 - (790903*s[6])/1056 - 
       (5213473*s[7])/4752 - (67130971*s[8])/28512 + (7404409*s[9])/2592 + 
       (1104661*s[10])/324 - (7982977*s[11])/19008 - (94897037*s[12])/19008 - 
       (32192551*s[13])/9504 + (98525629*s[14])/9504 + (647009*s[15])/108 + 
       (19927921*s[16])/4752 + (8720801*s[17])/704 + (9740009*s[18])/7776 - 
       (2225237*s[19])/7776 + (244259077*s[20])/21384 + 
       (754091443*s[21])/85536 - (2460781*s[22])/2673 + 
       (386393503*s[23])/19008 - (528344125*s[24])/171072 - 
       (9790305331*s[25])/1539648 - (3241718753*s[26])/1539648 - 64*s[29] + 
       30*s[30] - (334*s[31])/3 + (131*s[32])/3 + (19*s[33])/4 + 
       (358*s[34])/3 - 90*s[35] - 47*s[36] + (1721*s[37])/18 + 347*s[38] - 
       (41329*s[39])/16 + (121123*s[40])/48 - (11129*s[41])/6 + 
       (35331*s[42])/8 + (78075*s[43])/176 - (557587*s[44])/352 - 
       (1089845*s[45])/1584 - (3857009*s[46])/792 + (8593061*s[47])/3168 - 
       (10654585*s[48])/3168 - (11841215*s[49])/3168 + (160109*s[50])/44 + 
       (3503201*s[51])/1056 + (7559503*s[52])/3168 - (1226575*s[53])/594 + 
       (397387*s[54])/198 - (18211415*s[55])/3168 - (18976745*s[56])/9504 + 
       (259530995*s[57])/7128 - (1346068483*s[58])/85536 + 
       (1207831993*s[59])/85536 + (43097537*s[60])/2112 - 
       (810486841*s[61])/769824 - 4*s[63] - 13*s[65] - 53*s[66] + 76*s[67] + 
       (220*s[68])/3 + 61*s[69] + 6*s[70] + 23*s[71] + 80*s[72] + 116*s[73] - 
       67*s[74] + 67*s[75] + (416*s[76])/3 + 13*s[77] - 18*s[78] - 
       (284*s[79])/3 - (247*s[80])/9 - 1125*s[82] - 9*s[83] + 18*s[84] - 
       24*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u]*
      ((-791*s[2])/3 + (4019*s[3])/12 + (44455*s[4])/24 - (73525*s[5])/66 - 
       (502867*s[6])/1056 + (4463521*s[7])/2376 - (70689733*s[8])/28512 + 
       (302815*s[9])/2592 + (3482635*s[10])/1296 - (70378555*s[11])/19008 - 
       (163128305*s[12])/19008 - (13141261*s[13])/2376 + 
       (5733301*s[14])/594 + (870545*s[15])/432 - (6426157*s[16])/9504 + 
       (55505555*s[17])/6336 + (4818251*s[18])/7776 - (3893477*s[19])/7776 + 
       (215120897*s[20])/42768 + (131276311*s[21])/21384 + 
       (64293745*s[22])/85536 + (445510249*s[23])/19008 - 
       (5356447*s[24])/171072 - (15765628207*s[25])/1539648 + 
       (606756991*s[26])/1539648 - 58*s[29] + 34*s[30] - (334*s[31])/3 + 
       (229*s[32])/6 + (55*s[33])/4 + (316*s[34])/3 - 88*s[35] - 82*s[36] + 
       (2345*s[37])/18 + 500*s[38] - (48297*s[39])/16 + (142699*s[40])/48 - 
       (6523*s[41])/3 + (39929*s[42])/8 + (143983*s[43])/176 - 
       (168565*s[44])/88 - (449657*s[45])/1584 - (6238211*s[46])/792 + 
       (4560931*s[47])/1584 - (2600449*s[48])/792 - (4253333*s[49])/792 + 
       (252133*s[50])/44 + (1903093*s[51])/528 + (4372925*s[52])/1584 - 
       (16561691*s[53])/4752 + (198707*s[54])/99 - (23846455*s[55])/1584 - 
       (23037211*s[56])/4752 + (73046399*s[57])/1782 - 
       (56521976*s[58])/2673 + (833323715*s[59])/42768 + 
       (17786651*s[60])/396 - (1758039673*s[61])/769824 - 14*s[65] - 
       58*s[66] + 82*s[67] + (250*s[68])/3 + 58*s[69] + 6*s[70] + 22*s[71] + 
       82*s[72] + 118*s[73] - (139*s[74])/2 + (139*s[75])/2 + (434*s[76])/3 + 
       21*s[77] - 6*s[78] - (128*s[79])/3 - (175*s[80])/9 - 1125*s[82] - 
       9*s[83] + 18*s[84] - 24*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((658*s[2])/9 - (9599*s[3])/72 - (81943*s[4])/144 + 
       (719161*s[5])/1584 + (126707*s[6])/3168 + (11718955*s[7])/28512 + 
       (61014653*s[8])/85536 - (7493945*s[9])/7776 - (2371897*s[10])/1944 + 
       (2139077*s[11])/57024 + (87539365*s[12])/57024 + 
       (30098537*s[13])/28512 - (85792631*s[14])/28512 - 
       (6414209*s[15])/2592 - (49009159*s[16])/28512 - 
       (83590985*s[17])/19008 - (581185*s[18])/23328 - 
       (10599257*s[19])/23328 - (480371197*s[20])/128304 - 
       (656930435*s[21])/256608 + (45010421*s[22])/128304 - 
       (416854265*s[23])/57024 + (917475155*s[24])/513216 + 
       (7895266589*s[25])/4618944 + (2415088879*s[26])/4618944 + 
       (40*s[29])/3 - 13*s[30] + (278*s[31])/9 - (34*s[32])/9 + 
       (34*s[33])/3 - (745*s[34])/18 + (85*s[35])/6 + (19*s[36])/3 - 
       (3817*s[37])/216 - (169*s[38])/3 + (13091*s[39])/16 - 
       (126971*s[40])/144 + (46705*s[41])/72 - (5969*s[42])/4 - 
       (8105*s[43])/48 + (48247*s[44])/96 + (8725*s[45])/54 + 
       (791635*s[46])/432 - (795761*s[47])/864 + (876217*s[48])/864 + 
       (662723*s[49])/864 - (5615*s[50])/6 - (338365*s[51])/288 - 
       (826015*s[52])/864 + (342511*s[53])/648 - (317095*s[54])/216 + 
       (911285*s[55])/864 + (4819949*s[56])/2592 - (59585209*s[57])/3888 + 
       (153761977*s[58])/23328 - (125088679*s[59])/23328 - 
       (8147765*s[60])/1728 + (180667195*s[61])/209952 + (10*s[65])/3 + 
       (40*s[66])/3 - 18*s[67] - (197*s[68])/9 - 9*s[69] + s[70]/3 - 
       (35*s[71])/12 - (74*s[72])/3 - (103*s[73])/3 + (229*s[74])/12 - 
       (229*s[75])/12 - (394*s[76])/9 - s[77] - s[78]/3 - (185*s[79])/9 + 
       (3611*s[80])/108 + (1255*s[82])/3 - 24*s[84] - (64*s[85])/3)*
      \[Zeta][2] + HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]*
      (18*s[2] - (641*s[3])/24 - (13907*s[4])/24 - (12598*s[5])/33 - 
       (171789*s[6])/176 - (7019405*s[7])/792 + (4176817*s[8])/4752 + 
       (399781*s[9])/54 + (459005*s[10])/216 + (15326435*s[11])/1584 + 
       (34033847*s[12])/3168 + (20316035*s[13])/3168 + (2682205*s[14])/3168 + 
       (562273*s[15])/48 + (46588331*s[16])/3168 + (735019*s[17])/66 + 
       (1096127*s[18])/648 + (729925*s[19])/648 + (246084491*s[20])/14256 + 
       (177602389*s[21])/28512 - (131198003*s[22])/28512 - 
       (18612029*s[23])/1584 - (8207059*s[24])/891 + (400796249*s[25])/
        32076 - (54822806*s[26])/8019 + 5*s[29] - (9*s[30])/4 + 
       (26*s[31])/3 - (11*s[32])/6 + (581*s[33])/48 - (97*s[34])/12 + 
       (71*s[35])/6 + (695*s[36])/36 - (895*s[37])/18 - (3805*s[38])/12 + 
       (64937*s[39])/48 - (215831*s[40])/144 + (17875*s[41])/16 - 
       (292681*s[42])/144 - (1772821*s[43])/1584 + (457081*s[44])/396 - 
       (1001353*s[45])/792 + (1773693*s[46])/176 - (178298*s[47])/297 + 
       (409843*s[48])/4752 + (5703653*s[49])/1188 - (5933219*s[50])/792 - 
       (6564241*s[51])/4752 - (5585479*s[52])/4752 + (4251193*s[53])/792 - 
       (28558*s[54])/33 + (26777581*s[55])/792 + (22573055*s[56])/2376 - 
       (77649779*s[57])/7128 + (700314797*s[58])/42768 - 
       (354089377*s[59])/21384 - (1134305773*s[60])/14256 + 
       (3494723605*s[61])/769824 + (13*s[65])/12 + (13*s[66])/3 - 
       (43*s[67])/6 - (13*s[68])/2 - (37*s[69])/6 - (7*s[70])/6 + 
       (5*s[71])/12 - (26*s[72])/3 - 2*s[73] + (17*s[74])/2 - (17*s[75])/2 - 
       (16*s[76])/3 + 3*s[77] - (55*s[78])/6 - (362*s[79])/3 + 
       (407*s[80])/9 + 237*s[82] - s[83]/4 - (75*s[84])/2 - 16*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*
      ((57*s[2])/4 - (227*s[3])/16 - (717*s[4])/32 + (44863*s[5])/1056 + 
       (5541*s[6])/352 + (2919913*s[7])/6336 + (16189*s[8])/396 - 
       (123407*s[9])/288 - (48449*s[10])/144 - (284305*s[11])/704 - 
       (452017*s[12])/2112 - (39871*s[13])/792 - (91879*s[14])/264 - 
       (571669*s[15])/576 - (6287405*s[16])/6336 - (7941907*s[17])/6336 - 
       (21971*s[18])/864 - (101489*s[19])/432 - (11945239*s[20])/9504 - 
       (1580989*s[21])/3168 + (2314735*s[22])/9504 - (1036109*s[23])/1584 + 
       (3748403*s[24])/4752 - (2480233*s[25])/7128 + (4224437*s[26])/14256 + 
       2*s[29] - (3*s[30])/2 + (7*s[31])/2 - 3*s[32] - (5*s[33])/4 - 
       (11*s[34])/4 + 3*s[35] + 2*s[36] - (829*s[37])/48 - (523*s[38])/24 + 
       (3755*s[39])/48 - (3371*s[40])/48 + (369*s[41])/16 - (6247*s[42])/48 + 
       (11783*s[43])/528 + (18907*s[44])/1056 + (11207*s[45])/352 - 
       (110681*s[46])/1056 - (47159*s[47])/352 + (167909*s[48])/1056 - 
       (150539*s[49])/1056 + (5601*s[50])/22 - (318533*s[51])/3168 - 
       (128071*s[52])/1056 - (103463*s[53])/528 - (131759*s[54])/528 - 
       (1013689*s[55])/792 + (127499*s[56])/1056 - (8071433*s[57])/3168 + 
       (1629415*s[58])/2376 - (1964549*s[59])/4752 + (867733*s[60])/352 + 
       (100229*s[61])/42768 + s[65]/2 + 2*s[66] - 3*s[67] - 5*s[68] + 
       2*s[69] - (7*s[71])/8 - 3*s[72] - 9*s[73] + (21*s[74])/8 - 
       (21*s[75])/8 - 4*s[76] - 3*s[77] + (11*s[79])/2 - (15*s[80])/8 + 
       75*s[82] - 6*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - w]*((772*s[2])/9 - (8381*s[3])/72 - 
       (108217*s[4])/144 + (283021*s[5])/1584 - (1232929*s[6])/3168 - 
       (126603407*s[7])/28512 + (94928681*s[8])/85536 + 
       (25413751*s[9])/7776 + (353729*s[10])/1944 + (296083913*s[11])/57024 + 
       (397152709*s[12])/57024 + (121262087*s[13])/28512 - 
       (55571381*s[14])/28512 + (11337325*s[15])/2592 + 
       (187712957*s[16])/28512 + (44236603*s[17])/19008 + 
       (19458191*s[18])/23328 + (4713691*s[19])/23328 + 
       (847721825*s[20])/128304 + (310304323*s[21])/256608 - 
       (145384703*s[22])/64152 - (665789489*s[23])/57024 - 
       (1820264389*s[24])/513216 + (37450934573*s[25])/4618944 - 
       (14368722449*s[26])/4618944 + (40*s[29])/3 - 20*s[30] + 
       (272*s[31])/9 - (136*s[32])/9 - (191*s[33])/12 - (499*s[34])/18 + 
       (143*s[35])/3 + 38*s[36] - (14569*s[37])/216 - (535*s[38])/3 + 
       (72265*s[39])/48 - (221339*s[40])/144 + (86353*s[41])/72 - 
       (15673*s[42])/6 - (143747*s[43])/528 + (954425*s[44])/1056 + 
       (67699*s[45])/297 + (18795881*s[46])/4752 - (14864239*s[47])/9504 + 
       (17964095*s[48])/9504 + (19366021*s[49])/9504 - (31850*s[50])/11 - 
       (6423827*s[51])/3168 - (14602073*s[52])/9504 + (11662289*s[53])/7128 - 
       (4058477*s[54])/2376 + (63978571*s[55])/9504 + 
       (86346211*s[56])/28512 - (956318435*s[57])/42768 + 
       (2843679623*s[58])/256608 - (2448265433*s[59])/256608 - 
       (126442873*s[60])/6336 + (3022583021*s[61])/2309472 + (19*s[65])/3 + 
       (76*s[66])/3 - 40*s[67] - (428*s[68])/9 - (59*s[69])/3 + (4*s[70])/3 - 
       (119*s[71])/12 - (134*s[72])/3 - (166*s[73])/3 + (487*s[74])/12 - 
       (487*s[75])/12 - (373*s[76])/9 - (58*s[77])/3 + (35*s[78])/3 - 
       (773*s[79])/9 + (1787*s[80])/108 + (1939*s[82])/3 + 3*s[83] - 
       90*s[84] - (4*s[85])/3)*\[Zeta][2] + HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*
      (s[2] + (20*s[3])/3 + (313*s[4])/48 + (6355*s[5])/264 + 
       (5165*s[6])/132 + (973661*s[7])/3168 - (2899*s[8])/396 - 
       (38165*s[9])/144 - (4213*s[10])/36 - (41933*s[11])/132 - 
       (106687*s[12])/352 - (544039*s[13])/3168 - (50967*s[14])/352 - 
       (135719*s[15])/288 - (444607*s[16])/792 - (859213*s[17])/1584 - 
       (9109*s[18])/144 - (1337*s[19])/24 - (567277*s[20])/792 - 
       (2723585*s[21])/9504 + (1506845*s[22])/9504 + (430739*s[23])/3168 + 
       (3506873*s[24])/9504 - (30607571*s[25])/85536 + 
       (20469413*s[26])/85536 - s[32]/3 - 2*s[37] + (29*s[38])/12 - 
       (547*s[39])/48 + (739*s[40])/48 - (291*s[41])/16 + (479*s[42])/48 + 
       (10489*s[43])/528 - (25493*s[44])/1056 + (31693*s[45])/528 - 
       (28685*s[46])/88 - (15685*s[47])/3168 + (91829*s[48])/3168 - 
       (350573*s[49])/3168 + (17783*s[50])/66 + (37789*s[51])/3168 + 
       (4231*s[52])/3168 - (155983*s[53])/792 - (1615*s[54])/132 - 
       (4254377*s[55])/3168 - (114303*s[56])/352 - (197227*s[57])/792 - 
       (3581945*s[58])/9504 + (3753473*s[59])/9504 + (55497965*s[60])/19008 - 
       (1236187*s[61])/7128 - (2*s[68])/3 + (2*s[69])/3 - (2*s[77])/3 + 
       44*s[82] + 8*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*
      ((-4*s[2])/3 + (9*s[3])/2 + (29*s[4])/48 + (707*s[5])/88 + 
       (1973*s[6])/132 + (284945*s[7])/3168 + (2815*s[8])/1188 - 
       (31927*s[9])/432 - (6083*s[10])/108 - (32815*s[11])/396 - 
       (187747*s[12])/3168 - (27653*s[13])/1056 - (316571*s[14])/3168 - 
       (47867*s[15])/288 - (102007*s[16])/528 - (185659*s[17])/792 - 
       (10567*s[18])/648 - (40765*s[19])/1296 - (1906001*s[20])/7128 - 
       (2995061*s[21])/28512 + (1237531*s[22])/28512 - (34753*s[23])/352 + 
       (4129579*s[24])/28512 - (18747827*s[25])/256608 + 
       (17216567*s[26])/256608 - (4*s[31])/3 - s[33] + (8*s[34])/3 + 
       (8*s[35])/3 + (14*s[36])/9 - (113*s[37])/36 - (21*s[38])/4 + 
       (367*s[39])/16 - (2663*s[40])/144 + (157*s[41])/16 - 
       (5767*s[42])/144 + (995*s[43])/1584 + (9125*s[44])/3168 + 
       (41479*s[45])/1584 - (7129*s[46])/88 - (262219*s[47])/9504 + 
       (475067*s[48])/9504 - (27893*s[49])/9504 + (32117*s[50])/396 - 
       (212183*s[51])/9504 - (247991*s[52])/9504 - (16067*s[53])/264 - 
       (2953*s[54])/264 - (1588585*s[55])/3168 - (1140847*s[56])/9504 - 
       (1972717*s[57])/3564 + (2949013*s[58])/85536 - (1942165*s[59])/85536 + 
       (59941205*s[60])/57024 - (24778177*s[61])/384912 - (2*s[68])/3 + 
       (2*s[69])/3 + s[74]/3 - s[75]/3 + (4*s[76])/3 - (2*s[77])/3 - 
       (4*s[78])/3 + (8*s[79])/3 - (28*s[80])/9 + 44*s[82] + 8*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*
      (-s[1]/12 + s[2] + (20*s[3])/3 - (119*s[4])/48 + (4033*s[5])/264 + 
       (515*s[6])/88 + (659573*s[7])/3168 - (6253*s[8])/792 - 
       (26371*s[9])/144 - (3695*s[10])/36 - (106775*s[11])/528 - 
       (193559*s[12])/1056 - (223327*s[13])/3168 - (33383*s[14])/352 - 
       (103031*s[15])/288 - (78829*s[16])/198 - (318419*s[17])/792 - 
       (20257*s[18])/432 - (2629*s[19])/54 - (1274455*s[20])/2376 - 
       (635027*s[21])/3168 + (1021081*s[22])/9504 + (204209*s[23])/3168 + 
       (2418187*s[24])/9504 - (6248287*s[25])/28512 + (4328605*s[26])/28512 - 
       s[32]/3 - (37*s[37])/6 - (43*s[38])/12 + (353*s[39])/48 - 
       (161*s[40])/48 + (57*s[41])/16 - (793*s[42])/48 + (2197*s[43])/528 - 
       (9413*s[44])/1056 + (26905*s[45])/528 - (19037*s[46])/88 - 
       (48109*s[47])/3168 + (86597*s[48])/3168 - (187565*s[49])/3168 + 
       (8959*s[50])/44 - (21419*s[51])/3168 - (51137*s[52])/3168 - 
       (119101*s[53])/792 - (7415*s[54])/132 - (3348881*s[55])/3168 - 
       (210757*s[56])/1056 - (409735*s[57])/792 - (1415753*s[58])/9504 + 
       (1758857*s[59])/9504 + (40491965*s[60])/19008 - (37093*s[61])/297 - 
       (2*s[68])/3 + (2*s[69])/3 - (2*s[77])/3 + (97*s[82])/2 + 8*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*
      ((-4*s[2])/3 + (9*s[3])/2 - (367*s[4])/48 + (1121*s[5])/88 - 
       (923*s[6])/264 + (287657*s[7])/3168 + (767*s[8])/2376 - 
       (36493*s[9])/432 - (8141*s[10])/108 - (102895*s[11])/1584 - 
       (77257*s[12])/3168 + (34943*s[13])/1056 - (320807*s[14])/3168 - 
       (63587*s[15])/288 - (112151*s[16])/528 - (450893*s[17])/1584 - 
       (5689*s[18])/162 - (30391*s[19])/1296 - (2299811*s[20])/7128 - 
       (3907001*s[21])/28512 + (1282003*s[22])/28512 - (54941*s[23])/1056 + 
       (3330733*s[24])/28512 - (8298041*s[25])/256608 + 
       (16713149*s[26])/256608 - (4*s[31])/3 - s[33] + (8*s[34])/3 + 
       (8*s[35])/3 + (14*s[36])/9 - (125*s[37])/36 - (41*s[38])/4 + 
       (451*s[39])/16 - (3419*s[40])/144 + (289*s[41])/16 - 
       (6055*s[42])/144 - (21217*s[43])/1584 + (34505*s[44])/3168 + 
       (48067*s[45])/1584 - (6145*s[46])/88 - (202495*s[47])/9504 + 
       (199775*s[48])/9504 + (302191*s[49])/9504 + (19267*s[50])/198 - 
       (194651*s[51])/9504 - (311459*s[52])/9504 - (21235*s[53])/264 - 
       (4463*s[54])/88 - (1862869*s[55])/3168 - (781171*s[56])/9504 - 
       (1123091*s[57])/1782 + (6330529*s[58])/85536 - (3604537*s[59])/85536 + 
       (51250553*s[60])/57024 - (24828109*s[61])/384912 - (2*s[68])/3 + 
       (2*s[69])/3 + s[74]/3 - s[75]/3 + (4*s[76])/3 - (2*s[77])/3 - 
       (4*s[78])/3 + (8*s[79])/3 - (28*s[80])/9 + (97*s[82])/2 + 8*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      (s[1] - (107*s[2])/6 + (277*s[3])/12 + (6703*s[4])/24 + 
       (18241*s[5])/132 + (110845*s[6])/264 + (17337079*s[7])/4752 - 
       (2849147*s[8])/7128 - (980471*s[9])/324 - (106325*s[10])/162 - 
       (19897751*s[11])/4752 - (11566373*s[12])/2376 - 
       (14690695*s[13])/4752 - (330497*s[14])/4752 - (1898633*s[15])/432 - 
       (6938047*s[16])/1188 - (5967263*s[17])/1584 - (277985*s[18])/486 - 
       (995101*s[19])/1944 - (146066653*s[20])/21384 - 
       (96908507*s[21])/42768 + (82731955*s[22])/42768 + 
       (10848523*s[23])/2376 + (87100889*s[24])/21384 - 
       (543716555*s[25])/96228 + (135980341*s[26])/48114 + s[30] - 
       (17*s[31])/3 + (22*s[32])/3 + 20*s[33] - (4*s[34])/3 - 23*s[35] - 
       (14*s[36])/3 + (284*s[37])/9 + (517*s[38])/3 - (9277*s[39])/12 + 
       (9605*s[40])/12 - (2495*s[41])/4 + (6827*s[42])/6 + 
       (60175*s[43])/132 - (84169*s[44])/132 + (90373*s[45])/198 - 
       (1775465*s[46])/396 + (62995*s[47])/132 - (3896*s[48])/11 - 
       (301955*s[49])/132 + (106048*s[50])/33 + (77335*s[51])/99 + 
       (44785*s[52])/66 - (654226*s[53])/297 + (59119*s[54])/99 - 
       (616557*s[55])/44 - (4700075*s[56])/1188 + (6555299*s[57])/891 - 
       (42972041*s[58])/5346 + (83519995*s[59])/10692 + 
       (82467349*s[60])/2376 - (346175723*s[61])/192456 + (26*s[68])/3 - 
       17*s[69] + 2*s[70] + 4*s[71] + 6*s[72] + 43*s[73] - (17*s[74])/2 + 
       (17*s[75])/2 + (46*s[76])/3 + 9*s[77] - 18*s[78] + (8*s[79])/3 + 
       (70*s[80])/9 + 44*s[82] - 6*s[83] + 24*s[84] + 8*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*((40*s[2])/3 - (229*s[3])/48 - 
       (4873*s[4])/96 + (5259*s[5])/352 + (26267*s[6])/1056 - 
       (1694731*s[7])/19008 + (1712489*s[8])/28512 + (11305*s[9])/162 - 
       (232225*s[10])/2592 + (1538995*s[11])/9504 + (6253429*s[12])/19008 + 
       (4051285*s[13])/19008 - (5728207*s[14])/19008 - (228565*s[15])/1728 - 
       (19913*s[16])/4752 - (562729*s[17])/1584 + (141649*s[18])/3888 - 
       (145777*s[19])/3888 - (508259*s[20])/5346 - (18103675*s[21])/171072 - 
       (9415231*s[22])/171072 - (17144123*s[23])/19008 + 
       (16910285*s[24])/171072 + (129133451*s[25])/384912 - 
       (48032761*s[26])/769824 + 2*s[29] - (3*s[30])/4 + (17*s[31])/3 - 
       (35*s[32])/24 + (47*s[33])/16 - (23*s[34])/12 + (9*s[35])/2 + 
       (37*s[36])/6 - (1253*s[37])/144 - (257*s[38])/6 + 130*s[39] - 
       (1459*s[40])/12 + (3709*s[41])/48 - (18811*s[42])/96 - 
       (1201*s[43])/44 + (13129*s[44])/264 + (66227*s[45])/3168 + 
       (347707*s[46])/3168 - (25193*s[47])/198 + (125641*s[48])/792 + 
       (340055*s[49])/3168 - s[50]/132 - (521339*s[51])/3168 - 
       (127255*s[52])/792 - (591271*s[53])/9504 - (58139*s[54])/792 - 
       (225919*s[55])/352 + (155569*s[56])/9504 - (76736113*s[57])/28512 + 
       (79619585*s[58])/85536 - (31201585*s[59])/42768 + 
       (693851*s[60])/1188 - (1491833*s[61])/1539648 + s[65]/2 + 2*s[66] - 
       3*s[67] - (29*s[68])/12 - (11*s[69])/4 - s[70]/4 + (3*s[71])/4 - 
       (5*s[72])/2 - 2*s[73] + (21*s[74])/8 - (21*s[75])/8 - (16*s[76])/3 + 
       (3*s[77])/4 - (5*s[78])/4 + (77*s[79])/6 - (767*s[80])/72 + 
       (439*s[82])/2 + 13*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^3*((55*s[2])/12 - (733*s[3])/48 - (17587*s[4])/96 + 
       (78047*s[5])/1056 - (19489*s[6])/1056 - (14856013*s[7])/19008 + 
       (691117*s[8])/3564 + (1331497*s[9])/2592 + (121873*s[10])/1296 + 
       (19198445*s[11])/19008 + (25861939*s[12])/19008 + 
       (4283491*s[13])/4752 - (1576235*s[14])/2376 + (1445825*s[15])/1728 + 
       (24565885*s[16])/19008 + (343001*s[17])/704 - (860983*s[18])/7776 + 
       (1603397*s[19])/3888 + (69524251*s[20])/85536 - 
       (10192067*s[21])/85536 - (34009331*s[22])/85536 - 
       (7631693*s[23])/4752 - (11512657*s[24])/10692 + 
       (331946797*s[25])/192456 - (42773969*s[26])/96228 + 4*s[29] - 
       (3*s[30])/2 + (14*s[31])/3 + (2*s[32])/3 - s[33]/4 - (29*s[34])/12 + 
       (13*s[35])/2 + (27*s[36])/2 - (551*s[37])/144 - (525*s[38])/8 + 
       (14461*s[39])/48 - (4951*s[40])/16 + (12107*s[41])/48 - 
       (21599*s[42])/48 - (110947*s[43])/528 + (144667*s[44])/528 - 
       (27733*s[45])/3168 + (3634789*s[46])/3168 - (199519*s[47])/1584 + 
       (19709*s[48])/396 + (1846375*s[49])/1584 - (131005*s[50])/132 - 
       (457175*s[51])/1584 - (142525*s[52])/792 + (2906005*s[53])/4752 + 
       (330821*s[54])/1584 + (3301709*s[55])/1056 + (1656269*s[56])/4752 - 
       (60854779*s[57])/28512 + (157096055*s[58])/85536 - 
       (175250963*s[59])/85536 - (184091227*s[60])/19008 + 
       (139096985*s[61])/769824 + s[65] + 4*s[66] - 6*s[67] - (7*s[68])/6 - 
       12*s[69] - s[70]/2 - (13*s[71])/8 - 5*s[72] + 5*s[73] + (35*s[74])/8 - 
       (35*s[75])/8 - (16*s[76])/3 + (7*s[77])/2 - (11*s[78])/2 + 
       (17*s[79])/6 - (131*s[80])/72 + 46*s[82] + 20*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*(3*s[2] - (373*s[3])/12 - 
       (36559*s[4])/48 - (40871*s[5])/264 - (194137*s[6])/264 - 
       (26040649*s[7])/3168 + (4608757*s[8])/4752 + (2873003*s[9])/432 + 
       (829345*s[10])/432 + (1836469*s[11])/198 + (33723671*s[12])/3168 + 
       (6835139*s[13])/1056 - (1688495*s[14])/3168 + (3065845*s[15])/288 + 
       (1215487*s[16])/88 + (3812461*s[17])/396 + (1355533*s[18])/1296 + 
       (2250491*s[19])/1296 + (212620277*s[20])/14256 + 
       (131302129*s[21])/28512 - (122339201*s[22])/28512 - 
       (11829227*s[23])/1056 - (265244003*s[24])/28512 + 
       (1626148553*s[25])/128304 - (385259137*s[26])/64152 + (17*s[29])/2 - 
       (15*s[30])/4 + (20*s[31])/3 + (13*s[32])/6 - (101*s[33])/48 - 
       s[34]/4 + (52*s[35])/3 + (757*s[36])/18 - (647*s[37])/36 - 344*s[38] + 
       (6097*s[39])/4 - (58943*s[40])/36 + (10513*s[41])/8 - 
       (324061*s[42])/144 - (43889*s[43])/36 + (396457*s[44])/288 - 
       (72413*s[45])/72 + (79201*s[46])/8 - (505109*s[47])/864 + 
       (73099*s[48])/864 + (5161049*s[49])/864 - (565405*s[50])/72 - 
       (1287283*s[51])/864 - (949345*s[52])/864 + (129319*s[53])/24 + 
       (1765*s[54])/8 + (9420577*s[55])/288 + (6618763*s[56])/864 - 
       (3336497*s[57])/324 + (119407757*s[58])/7776 - 
       (124710251*s[59])/7776 - (420781487*s[60])/5184 + 
       (263296883*s[61])/69984 + (25*s[65])/12 + (25*s[66])/3 - 
       (38*s[67])/3 - 4*s[68] - (71*s[69])/3 - (5*s[70])/3 - (17*s[71])/6 - 
       (41*s[72])/3 + 12*s[73] + (51*s[74])/4 - (51*s[75])/4 - (19*s[76])/3 + 
       (19*s[77])/3 - (103*s[78])/6 - (203*s[79])/3 + (104*s[80])/9 - 
       14*s[82] - s[83]/4 - (69*s[84])/2 + 20*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*((91*s[2])/6 + (19*s[3])/12 + 
       (665*s[4])/24 + (56765*s[5])/264 + (26089*s[6])/88 + 
       (6396593*s[7])/2376 - (2193791*s[8])/28512 - (6171667*s[9])/2592 - 
       (2543753*s[10])/2592 - (53636849*s[11])/19008 - 
       (25953149*s[12])/9504 - (30051385*s[13])/19008 - 
       (18970493*s[14])/19008 - (1750523*s[15])/432 - 
       (91679965*s[16])/19008 - (28372115*s[17])/6336 - 
       (3839765*s[18])/7776 - (1966055*s[19])/3888 - (516425233*s[20])/
        85536 - (415478579*s[21])/171072 + (244008025*s[22])/171072 + 
       (25552913*s[23])/19008 + (552816769*s[24])/171072 - 
       (2490846547*s[25])/769824 + (100461337*s[26])/48114 + 2*s[29] - 
       (9*s[30])/4 + (19*s[31])/3 - (19*s[32])/24 + (43*s[33])/16 - 
       (28*s[34])/3 + s[35]/2 - (83*s[36])/12 + (67*s[37])/18 + 
       (1283*s[38])/24 - (6955*s[39])/48 + (7955*s[40])/48 - 
       (1517*s[41])/12 + (14837*s[42])/96 + (123721*s[43])/528 - 
       (67237*s[44])/352 + (349747*s[45])/792 - (3917933*s[46])/1584 - 
       (205505*s[47])/3168 + (683581*s[48])/3168 - (1705529*s[49])/1584 + 
       (262759*s[50])/132 + (34291*s[51])/396 + (180797*s[52])/3168 - 
       (13864193*s[53])/9504 - (409151*s[54])/1584 - (31000853*s[55])/3168 - 
       (5362333*s[56])/2376 - (15852031*s[57])/14256 - 
       (258013439*s[58])/85536 + (35117119*s[59])/10692 + 
       (4366973*s[60])/198 - (1811891605*s[61])/1539648 + s[65]/2 + 2*s[66] - 
       3*s[67] - (43*s[68])/12 - (11*s[69])/4 + s[70]/4 - (3*s[71])/8 - 
       (7*s[72])/2 + s[73] + (5*s[74])/2 - (5*s[75])/2 - (26*s[76])/3 - 
       (3*s[77])/4 + (11*s[78])/4 + (2*s[79])/3 + (367*s[80])/36 + 
       215*s[82] + 23*s[85])*\[Zeta][2] + HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - u]*(-48*s[2] + (361*s[3])/24 + (31249*s[4])/48 + 
       (322829*s[5])/528 + (56303*s[6])/66 + (3737741*s[7])/352 - 
       (2525341*s[8])/2376 - (3991387*s[9])/432 - (847283*s[10])/432 - 
       (37769453*s[11])/3168 - (21758975*s[12])/1584 - 
       (25994945*s[13])/3168 - (1049405*s[14])/3168 - (421877*s[15])/32 - 
       (6765673*s[16])/396 - (35727647*s[17])/3168 - (3019685*s[18])/1296 - 
       (965557*s[19])/1296 - (74473039*s[20])/3564 - (217492409*s[21])/
        28512 + (164647885*s[22])/28512 + (25745213*s[23])/1584 + 
       (148766927*s[24])/14256 - (3975773783*s[25])/256608 + 
       (2136562853*s[26])/256608 + (4*s[29])/3 + (3*s[30])/2 + s[31] + 
       (215*s[32])/12 + (1631*s[33])/24 - (65*s[34])/2 - 37*s[35] - 
       (421*s[36])/6 + (13555*s[37])/72 + (1155*s[38])/2 - (26117*s[39])/12 + 
       (26669*s[40])/12 - (4829*s[41])/3 + (51547*s[42])/16 + 
       (165119*s[43])/132 - (68537*s[44])/44 + (2478017*s[45])/1584 - 
       (20159915*s[46])/1584 + (1198039*s[47])/792 - (1061141*s[48])/792 - 
       (9484913*s[49])/1584 + (625315*s[50])/66 + (3764201*s[51])/1584 + 
       (389921*s[52])/198 - (30858397*s[53])/4752 + (280129*s[54])/396 - 
       (64300243*s[55])/1584 - (53375033*s[56])/4752 + 
       (329515829*s[57])/14256 - (1011861871*s[58])/42768 + 
       (491954777*s[59])/21384 + (38879465*s[60])/396 - 
       (4071204449*s[61])/769824 - (2*s[65])/3 - (8*s[66])/3 + 4*s[67] + 
       (57*s[68])/2 - (257*s[69])/6 + (3*s[70])/2 + (49*s[71])/6 + 17*s[72] + 
       76*s[73] - (81*s[74])/4 + (81*s[75])/4 + (29*s[76])/3 + (77*s[77])/2 - 
       (51*s[78])/2 + (115*s[79])/3 + (3109*s[80])/36 - 125*s[82] - 
       12*s[83] + 72*s[84] + 26*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*((-517*s[2])/6 + (157*s[3])/6 - 
       (503*s[4])/6 - (137785*s[5])/264 - (130387*s[6])/264 - 
       (2036500*s[7])/297 + (1461023*s[8])/7128 + (3900703*s[9])/648 + 
       (1801139*s[10])/648 + (16465609*s[11])/2376 + (14822699*s[12])/2376 + 
       (4101577*s[13])/1188 + (2776025*s[14])/1188 + (2516773*s[15])/216 + 
       (7763651*s[16])/594 + (432589*s[17])/33 + (1382867*s[18])/1944 + 
       (1956167*s[19])/972 + (165491231*s[20])/10692 + 
       (123911851*s[21])/21384 - (38964223*s[22])/10692 - 
       (404513*s[23])/297 - (24179431*s[24])/2673 + (3099581597*s[25])/
        384912 - (1863847613*s[26])/384912 - 10*s[29] + 6*s[30] - 
       (97*s[31])/3 + (32*s[32])/3 - (221*s[33])/4 + (205*s[34])/3 + 
       7*s[35] + (176*s[36])/3 - (1769*s[37])/36 + (11*s[38])/2 + 
       (517*s[39])/4 - (775*s[40])/12 + (637*s[41])/6 - (541*s[42])/3 - 
       (1763*s[43])/12 + (3889*s[44])/24 - (44363*s[45])/72 + 
       (253247*s[46])/72 + (4979*s[47])/72 + (10817*s[48])/72 + 
       (109543*s[49])/72 - (21955*s[50])/6 - (13*s[51])/72 + 
       (17041*s[52])/72 + (640381*s[53])/216 + (57067*s[54])/36 + 
       (1341545*s[55])/72 + (509417*s[56])/216 + (637907*s[57])/81 + 
       (1034269*s[58])/486 - (7352317*s[59])/1944 - (7349401*s[60])/216 + 
       (48096959*s[61])/34992 - s[65] - 4*s[66] + 8*s[67] + (46*s[68])/3 - 
       3*s[69] + 6*s[70] - 6*s[71] + 2*s[72] + 30*s[73] + (9*s[74])/2 - 
       (9*s[75])/2 + (122*s[76])/3 - 6*s[77] - 36*s[78] + (58*s[79])/3 - 
       (1187*s[80])/18 - 522*s[82] + 3*s[83] - 12*s[84] + 28*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      (210*s[2] - 494*s[3] - (44233*s[4])/12 - (13835*s[5])/33 - 
       (113444*s[6])/33 - (26384977*s[7])/792 + (4196377*s[8])/891 + 
       (8628365*s[9])/324 + (871397*s[10])/162 + (11471324*s[11])/297 + 
       (111763643*s[12])/2376 + (68666131*s[13])/2376 - 
       (11127989*s[14])/2376 + (8252537*s[15])/216 + (15757967*s[16])/297 + 
       (18343807*s[17])/594 + (1435909*s[18])/243 + (4228187*s[19])/972 + 
       (154789736*s[20])/2673 + (375289381*s[21])/21384 - 
       (369545807*s[22])/21384 - (143879753*s[23])/2376 - 
       (712866533*s[24])/21384 + (10420606627*s[25])/192456 - 
       (4868044567*s[26])/192456 + (140*s[29])/3 - 42*s[30] + 80*s[31] - 
       32*s[32] + 27*s[33] - 102*s[34] + (118*s[35])/3 + (171*s[36])/2 - 
       (1595*s[37])/6 - (7825*s[38])/6 + (139285*s[39])/24 - 
       (49267*s[40])/8 + (107587*s[41])/24 - (212095*s[42])/24 - 
       (269505*s[43])/88 + (775703*s[44])/176 - (260807*s[45])/132 + 
       (6846047*s[46])/264 - (6332807*s[47])/1584 + (4935307*s[48])/1584 + 
       (24129305*s[49])/1584 - (1224973*s[50])/66 - (10122133*s[51])/1584 - 
       (8300359*s[52])/1584 + (2351317*s[53])/198 - (35826*s[54])/11 + 
       (109517357*s[55])/1584 + (33178355*s[56])/1584 - 
       (84588917*s[57])/1188 + (762676549*s[58])/14256 - 
       (723712975*s[59])/14256 - (1778203343*s[60])/9504 + 
       (1257235081*s[61])/128304 + (32*s[65])/3 + (128*s[66])/3 - 64*s[67] - 
       (196*s[68])/3 - 36*s[69] + 8*s[70] - (56*s[71])/3 - 84*s[72] - 
       (235*s[73])/3 + 76*s[74] - 76*s[75] - (278*s[76])/3 - (76*s[77])/3 + 
       19*s[78] - (794*s[79])/3 + 134*s[80] + 1550*s[82] + s[83] - 
       118*s[84] + 32*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*((416*s[2])/3 - (1625*s[3])/3 - (15013*s[4])/4 - 
       (1759*s[5])/6 - 3438*s[6] - (2435573*s[7])/72 + (780775*s[8])/162 + 
       (8710871*s[9])/324 + (923969*s[10])/162 + (2117051*s[11])/54 + 
       (10282585*s[12])/216 + (6327521*s[13])/216 - (1091959*s[14])/216 + 
       (8451227*s[15])/216 + (2922863*s[16])/54 + (3438697*s[17])/108 + 
       (5578429*s[18])/972 + (2341777*s[19])/486 + (28448747*s[20])/486 + 
       (33842609*s[21])/1944 - (34041049*s[22])/1944 - (13127065*s[23])/216 - 
       (66594721*s[24])/1944 + (963941933*s[25])/17496 - 
       (446231963*s[26])/17496 + (128*s[29])/3 - 42*s[30] + (236*s[31])/3 - 
       (68*s[32])/3 - (45*s[33])/2 - (214*s[34])/3 + 74*s[35] + 
       (833*s[36])/9 - (1934*s[37])/9 - (4480*s[38])/3 + (13827*s[39])/2 - 
       (134341*s[40])/18 + (32971*s[41])/6 - (189899*s[42])/18 - 
       (812027*s[43])/198 + (1099019*s[44])/198 - (1340219*s[45])/396 + 
       (1612291*s[46])/44 - (2607271*s[47])/594 + (824485*s[48])/297 + 
       (11710027*s[49])/594 - (2657563*s[50])/99 - (2269204*s[51])/297 - 
       (3729269*s[52])/594 + (3460837*s[53])/198 - (132851*s[54])/33 + 
       (10415335*s[55])/99 + (18587453*s[56])/594 - (142169477*s[57])/1782 + 
       (751886105*s[58])/10692 - (178954469*s[59])/2673 - 
       (1957426379*s[60])/7128 + (2914875859*s[61])/192456 + (32*s[65])/3 + 
       (128*s[66])/3 - 64*s[67] - (220*s[68])/3 - 20*s[69] - 4*s[70] - 
       (56*s[71])/3 - 96*s[72] - (274*s[73])/3 + (250*s[74])/3 - 
       (250*s[75])/3 - (352*s[76])/3 - (76*s[77])/3 + (62*s[78])/3 - 
       372*s[79] + (1778*s[80])/9 + 1550*s[82] + s[83] - 118*s[84] + 
       32*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*((167*s[2])/6 + (33*s[3])/4 + (18709*s[4])/48 + 
       (44433*s[5])/88 + (28825*s[6])/33 + (28657997*s[7])/3168 - 
       (51914*s[8])/99 - (1115089*s[9])/144 - (26681*s[10])/9 - 
       (871465*s[11])/88 - (10999925*s[12])/1056 - (19232935*s[13])/3168 - 
       (667387*s[14])/352 - (1212805*s[15])/96 - (25279127*s[16])/1584 - 
       (1305625*s[17])/99 - (331943*s[18])/216 - (798971*s[19])/432 - 
       (45309037*s[20])/2376 - (7518151*s[21])/1056 + (45672433*s[22])/9504 + 
       (23097455*s[23])/3168 + (102682057*s[24])/9504 - 
       (344798935*s[25])/28512 + (197597635*s[26])/28512 - 2*s[29] - 
       5*s[30] - (2*s[31])/3 - 6*s[32] - 17*s[33] - (11*s[34])/3 + 
       (7*s[35])/3 - (497*s[36])/9 + (497*s[37])/36 + (1191*s[38])/4 - 
       (16043*s[39])/16 + (163067*s[40])/144 - (14433*s[41])/16 + 
       (182791*s[42])/144 + (1724137*s[43])/1584 - (3494345*s[44])/3168 + 
       (1984817*s[45])/1584 - (2411075*s[46])/264 + (270583*s[47])/9504 + 
       (5987305*s[48])/9504 - (50871979*s[49])/9504 + (2912947*s[50])/396 + 
       (7588535*s[51])/9504 + (5692403*s[52])/9504 - (3930679*s[53])/792 - 
       (280013*s[54])/264 - (101095763*s[55])/3168 - (68874665*s[56])/9504 + 
       (6248333*s[57])/1782 - (1090409677*s[58])/85536 + 
       (1148165197*s[59])/85536 + (4559068291*s[60])/57024 - 
       (1421901869*s[61])/384912 + 2*s[67] - (34*s[68])/3 + (64*s[69])/3 + 
       2*s[71] - 2*s[72] - 30*s[73] + (13*s[74])/6 - (13*s[75])/6 - 
       (28*s[76])/3 - (43*s[77])/3 + (52*s[78])/3 + (112*s[79])/3 - 
       (53*s[80])/9 + 596*s[82] + 36*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      (41*s[2] - s[3]/6 + (5749*s[4])/16 + (144425*s[5])/264 + 
       (72053*s[6])/88 + (29597587*s[7])/3168 - (417811*s[8])/792 - 
       (1159069*s[9])/144 - (110333*s[10])/36 - (5382985*s[11])/528 - 
       (11281777*s[12])/1056 - (19892981*s[13])/3168 - (649025*s[14])/352 - 
       (3814033*s[15])/288 - (13003049*s[16])/792 - (10816363*s[17])/792 - 
       (211145*s[18])/144 - (24215*s[19])/12 - (3879251*s[20])/198 - 
       (69101227*s[21])/9504 + (47281159*s[22])/9504 + 
       (23117455*s[23])/3168 + (106652125*s[24])/9504 - 
       (1070884387*s[25])/85536 + (606892501*s[26])/85536 - 5*s[30] + 
       12*s[31] - (2*s[32])/3 + (23*s[33])/4 - 25*s[34] - 8*s[35] - 
       (133*s[36])/3 + 28*s[37] + (4001*s[38])/12 - (44741*s[39])/48 + 
       (16031*s[40])/16 - (37639*s[41])/48 + (52901*s[42])/48 + 
       (189293*s[43])/176 - (1088443*s[44])/1056 + (735047*s[45])/528 - 
       (2469659*s[46])/264 - (241123*s[47])/3168 + (2363171*s[48])/3168 - 
       (17182739*s[49])/3168 + (506287*s[50])/66 + (221843*s[51])/352 + 
       (1393129*s[52])/3168 - (4183973*s[53])/792 - (61591*s[54])/44 - 
       (108919639*s[55])/3168 - (23366993*s[56])/3168 + (562535*s[57])/2376 - 
       (348162493*s[58])/28512 + (380423677*s[59])/28512 + 
       (1601941235*s[60])/19008 - (242246629*s[61])/64152 + 2*s[67] - 
       (31*s[68])/3 + (52*s[69])/3 + 2*s[70] + 2*s[71] - 4*s[72] - 27*s[73] + 
       2*s[74] - 2*s[75] - 30*s[76] - (31*s[77])/3 + 22*s[78] + 20*s[79] + 
       22*s[80] + 596*s[82] + 36*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*((7*s[2])/24 - (903*s[3])/16 - 
       (25605*s[4])/32 - (49325*s[5])/176 - (900865*s[6])/1056 - 
       (180126233*s[7])/19008 + (10128541*s[8])/9504 + (3357013*s[9])/432 + 
       (463891*s[10])/216 + (22408543*s[11])/2112 + (38367283*s[12])/3168 + 
       (138667075*s[13])/19008 - (189721*s[14])/704 + (21213407*s[15])/1728 + 
       (150527543*s[16])/9504 + (212608433*s[17])/19008 + (40141*s[18])/27 + 
       (1428185*s[19])/864 + (167296879*s[20])/9504 + 
       (330831821*s[21])/57024 - (282553769*s[22])/57024 - 
       (63804149*s[23])/4752 - (9132689*s[24])/891 + (228500485*s[25])/
        16038 - (227046659*s[26])/32076 + 9*s[29] - (9*s[30])/4 + 
       (10*s[31])/3 - (5*s[32])/6 - (85*s[33])/12 + (35*s[34])/4 + 
       (233*s[35])/12 + (2225*s[36])/36 - (650*s[37])/9 - (4807*s[38])/12 + 
       (3291*s[39])/2 - (62603*s[40])/36 + (5337*s[41])/4 - 
       (87589*s[42])/36 - (117928*s[43])/99 + (4269305*s[44])/3168 - 
       (446915*s[45])/396 + (673745*s[46])/66 - (7691929*s[47])/9504 + 
       (4492727*s[48])/9504 + (54043075*s[49])/9504 - (6233993*s[50])/792 - 
       (15641825*s[51])/9504 - (12586529*s[52])/9504 + (539461*s[53])/99 - 
       (3680*s[54])/33 + (105551617*s[55])/3168 + (80388065*s[56])/9504 - 
       (99053069*s[57])/7128 + (1463780035*s[58])/85536 - 
       (1494666397*s[59])/85536 - (4628843545*s[60])/57024 + 
       (3118498105*s[61])/769824 + (25*s[65])/12 + (25*s[66])/3 - 
       (79*s[67])/6 - (53*s[68])/6 - (101*s[69])/6 - (5*s[70])/3 - 
       (23*s[71])/6 - (71*s[72])/6 + (55*s[73])/6 + (313*s[74])/24 - 
       (313*s[75])/24 + (8*s[76])/3 + (23*s[77])/12 - (115*s[78])/6 - 
       (182*s[79])/3 - (197*s[80])/18 + 179*s[82] - s[83]/4 - (75*s[84])/2 + 
       36*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*
      ((2*s[2])/3 - (169*s[3])/24 - (4703*s[4])/24 + (33787*s[5])/528 - 
       (4163*s[6])/352 - (3545459*s[7])/4752 + (2898683*s[8])/14256 + 
       (642703*s[9])/1296 - (86993*s[10])/2592 + (4782781*s[11])/4752 + 
       (27594569*s[12])/19008 + (17631851*s[13])/19008 - 
       (14315393*s[14])/19008 + (18247*s[15])/27 + (22115705*s[16])/19008 + 
       (278171*s[17])/1584 - (50891*s[18])/1944 + (1929029*s[19])/7776 + 
       (59827853*s[20])/85536 - (18397451*s[21])/171072 - 
       (66664745*s[22])/171072 - (23277785*s[23])/9504 - 
       (68017375*s[24])/85536 + (2643093301*s[25])/1539648 - 
       (724210411*s[26])/1539648 + 4*s[29] - (3*s[30])/4 + (7*s[31])/3 + 
       (11*s[32])/24 - (63*s[33])/16 + (8*s[34])/3 + 8*s[35] + 
       (139*s[36])/12 - (2111*s[37])/72 - (625*s[38])/8 + (16801*s[39])/48 - 
       (5571*s[40])/16 + (12001*s[41])/48 - (17245*s[42])/32 - 
       (88547*s[43])/528 + (250885*s[44])/1056 + (146171*s[45])/1584 + 
       (265291*s[46])/396 - (258487*s[47])/1056 + (275915*s[48])/1056 + 
       (20101*s[49])/22 - (62825*s[50])/132 - (498893*s[51])/1584 - 
       (281113*s[52])/1056 + (2451475*s[53])/9504 + (6007*s[54])/1584 + 
       (2258671*s[55])/3168 + (320525*s[56])/2376 - (63699697*s[57])/14256 + 
       (164294959*s[58])/85536 - (5264063*s[59])/2673 - 
       (38176109*s[60])/9504 - (65611411*s[61])/1539648 + s[65] + 4*s[66] - 
       6*s[67] - (37*s[68])/12 - (37*s[69])/4 - (3*s[70])/4 - (21*s[71])/8 - 
       (9*s[72])/2 + 7*s[73] + 4*s[74] - 4*s[75] + (4*s[76])/3 + 
       (9*s[77])/4 - (41*s[78])/4 - (37*s[79])/3 + (167*s[80])/18 + 
       (381*s[82])/2 + 39*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]^3*
      HPL[{0, 1}, 1 - w]*((661*s[2])/24 - (263*s[3])/48 - (6207*s[4])/32 + 
       (13303*s[5])/44 + (287585*s[6])/1056 + (1331177*s[7])/704 + 
       (4278529*s[8])/28512 - (2418041*s[9])/1296 - (1233439*s[10])/1296 - 
       (35519993*s[11])/19008 - (3419909*s[12])/2376 - 
       (14336747*s[13])/19008 - (31383725*s[14])/19008 - 
       (5420857*s[15])/1728 - (4273073*s[16])/1188 - (76285823*s[17])/19008 - 
       (566527*s[18])/972 - (1341163*s[19])/7776 - (448070053*s[20])/85536 - 
       (448434551*s[21])/171072 + (176813671*s[22])/171072 - 
       (3416711*s[23])/4752 + (98952019*s[24])/42768 - 
       (584230643*s[25])/384912 + (80393761*s[26])/48114 + (11*s[29])/3 - 
       (23*s[30])/4 + 13*s[31] - (3*s[32])/2 + (59*s[33])/12 - (75*s[34])/4 + 
       (23*s[35])/12 - (187*s[36])/36 + (355*s[37])/36 + (61*s[38])/12 + 
       (1987*s[39])/12 - (3319*s[40])/18 + (3799*s[41])/24 - 
       (50047*s[42])/144 + (8543*s[43])/396 + (34531*s[44])/396 + 
       (278807*s[45])/792 - (211703*s[46])/264 - (1045841*s[47])/4752 + 
       (1469023*s[48])/4752 + (18635*s[49])/1188 + (470905*s[50])/792 - 
       (337573*s[51])/1188 - (199117*s[52])/1188 - (87801*s[53])/176 - 
       (94595*s[54])/264 - (47268*s[55])/11 - (642463*s[56])/594 - 
       (42089623*s[57])/14256 - (2949461*s[58])/5346 + 
       (27721405*s[59])/42768 + (122060759*s[60])/14256 - 
       (498960791*s[61])/769824 + (13*s[65])/12 + (13*s[66])/3 - 
       (35*s[67])/6 - (9*s[68])/2 - (55*s[69])/6 + (5*s[70])/3 - s[71]/3 - 
       (53*s[72])/6 + (37*s[73])/6 + (61*s[74])/8 - (61*s[75])/8 - 10*s[76] + 
       (5*s[77])/12 + (7*s[78])/6 - (140*s[79])/3 + (245*s[80])/9 + 
       288*s[82] - s[83]/4 - (47*s[84])/2 + 40*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u]*((95*s[2])/18 - (5573*s[3])/72 - 
       (33439*s[4])/144 + (229495*s[5])/1584 + (88919*s[6])/3168 - 
       (3420677*s[7])/28512 + (25289639*s[8])/85536 - (1067495*s[9])/7776 - 
       (1340507*s[10])/3888 + (14137391*s[11])/57024 + 
       (40518937*s[12])/57024 + (6040843*s[13])/14256 - 
       (15119647*s[14])/14256 - (681449*s[15])/2592 + (442933*s[16])/14256 - 
       (5311169*s[17])/6336 + (675125*s[18])/23328 - (2363069*s[19])/23328 - 
       (5541370*s[20])/8019 - (10325621*s[21])/16038 - 
       (2726435*s[22])/256608 - (175852019*s[23])/57024 + 
       (219440465*s[24])/513216 + (4127873285*s[25])/4618944 - 
       (11916029*s[26])/4618944 + (20*s[29])/3 - (3*s[30])/2 + (47*s[31])/9 - 
       (331*s[32])/36 - (127*s[33])/24 + (77*s[34])/18 + (44*s[35])/3 + 
       (77*s[36])/2 - (6235*s[37])/216 + (133*s[38])/4 + (5617*s[39])/48 - 
       (12275*s[40])/144 + (1979*s[41])/36 - (5049*s[42])/16 + 
       (114005*s[43])/528 - (95921*s[44])/1056 + (373063*s[45])/1188 - 
       (6307351*s[46])/4752 - (3884281*s[47])/9504 + (7703405*s[48])/9504 - 
       (8599763*s[49])/9504 + (161761*s[50])/132 - (75475*s[51])/352 - 
       (2322179*s[52])/9504 - (11665883*s[53])/14256 - (547753*s[54])/1188 - 
       (57882575*s[55])/9504 - (23929097*s[56])/28512 - 
       (243893645*s[57])/42768 + (382001*s[58])/256608 + 
       (110584003*s[59])/256608 + (307692001*s[60])/19008 - 
       (679251839*s[61])/1154736 + (5*s[65])/3 + (20*s[66])/3 - 10*s[67] - 
       (217*s[68])/18 - (21*s[69])/2 - (7*s[70])/6 - (7*s[71])/2 - 
       (23*s[72])/3 + (14*s[73])/3 + (91*s[74])/12 - (91*s[75])/12 - 
       (46*s[76])/9 - (29*s[77])/6 - (77*s[78])/6 + (145*s[79])/9 - 
       (2245*s[80])/108 + (1009*s[82])/3 + (122*s[85])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      ((23*s[2])/6 + 31*s[3] + (3607*s[4])/48 + (4459*s[5])/88 + 
       (16103*s[6])/66 + (6119239*s[7])/3168 - (21425*s[8])/594 - 
       (676001*s[9])/432 - (56333*s[10])/54 - (765599*s[11])/396 - 
       (5507585*s[12])/3168 - (914491*s[13])/1056 - (3213385*s[14])/3168 - 
       (920749*s[15])/288 - (1994243*s[16])/528 - (385585*s[17])/99 - 
       (40841*s[18])/162 - (903845*s[19])/1296 - (8215111*s[20])/1782 - 
       (46607191*s[21])/28512 + (26975081*s[22])/28512 - (157991*s[23])/352 + 
       (81830093*s[24])/28512 - (557932513*s[25])/256608 + 
       (357720421*s[26])/256608 - 2*s[29] - (17*s[31])/3 - 5*s[32] - 
       23*s[33] + (91*s[34])/3 + (67*s[35])/3 + (202*s[36])/9 - 
       (2731*s[37])/36 - (177*s[38])/4 + (1753*s[39])/16 - (4033*s[40])/144 - 
       (1313*s[41])/16 - (28037*s[42])/144 + (334093*s[43])/1584 - 
       (440045*s[44])/3168 + (358505*s[45])/1584 - (399877*s[46])/264 - 
       (3636653*s[47])/9504 + (7078381*s[48])/9504 - (9182311*s[49])/9504 + 
       (575185*s[50])/396 - (1261549*s[51])/9504 - (1844257*s[52])/9504 - 
       (789065*s[53])/792 - (63097*s[54])/264 - (21190415*s[55])/3168 - 
       (11265125*s[56])/9504 - (10045465*s[57])/1782 - 
       (10348153*s[58])/85536 + (45933865*s[59])/85536 + 
       (941288239*s[60])/57024 - (293690165*s[61])/384912 - (28*s[68])/3 + 
       (58*s[69])/3 - 4*s[71] - 24*s[73] + (14*s[74])/3 - (14*s[75])/3 + 
       (17*s[76])/3 - (43*s[77])/3 - (20*s[78])/3 + (76*s[79])/3 - 
       (356*s[80])/9 + (527*s[82])/2 + 44*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      ((13*s[2])/2 + (29*s[3])/6 - (931*s[4])/16 + (7261*s[5])/88 - 
       (1871*s[6])/22 + (340795*s[7])/3168 + (7289*s[8])/1188 - 
       (95501*s[9])/432 + (4777*s[10])/54 - (144127*s[11])/792 - 
       (924557*s[12])/3168 - (100591*s[13])/1056 - (34537*s[14])/3168 + 
       (11135*s[15])/288 - (1735*s[16])/22 + (429839*s[17])/1584 - 
       (285643*s[18])/1296 + (176561*s[19])/648 - (2125559*s[20])/3564 - 
       (11412457*s[21])/28512 + (3793529*s[22])/28512 + (816779*s[23])/1056 - 
       (6491407*s[24])/28512 - (24782215*s[25])/256608 + 
       (51962557*s[26])/256608 + 4*s[31] + (13*s[32])/3 + 25*s[33] - 
       22*s[34] - 12*s[35] - (82*s[36])/3 + (289*s[37])/6 + (707*s[38])/12 - 
       (2571*s[39])/16 + (6289*s[40])/48 - (1735*s[41])/48 + 
       (3187*s[42])/16 - (11333*s[43])/528 - (87227*s[44])/1056 + 
       (165967*s[45])/528 - (116475*s[46])/88 + (703213*s[47])/3168 - 
       (995429*s[48])/3168 - (194803*s[49])/3168 + (55915*s[50])/66 + 
       (171889*s[51])/1056 + (621953*s[52])/3168 - (470837*s[53])/792 + 
       (3035*s[54])/132 - (4821365*s[55])/1056 - (1830947*s[56])/1056 + 
       (2553313*s[57])/792 - (29355247*s[58])/9504 + (25360303*s[59])/9504 + 
       (182007163*s[60])/19008 - (5752133*s[61])/7128 + (23*s[68])/3 - 
       (44*s[69])/3 + 4*s[71] + 25*s[73] - 3*s[74] + 3*s[75] - 4*s[76] + 
       (35*s[77])/3 - 32*s[79] + (124*s[80])/3 + (559*s[82])/2 + 44*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*
      (-s[1] - (184*s[2])/9 + (1663*s[3])/36 - (14915*s[4])/144 + 
       (137131*s[5])/792 + (379691*s[6])/1584 + (30846011*s[7])/28512 + 
       (5166389*s[8])/42768 - (1851061*s[9])/1944 - (215509*s[10])/243 - 
       (24193687*s[11])/28512 - (177736*s[12])/891 + (3296551*s[13])/28512 - 
       (46273003*s[14])/28512 - (6894445*s[15])/2592 - 
       (38224195*s[16])/14256 - (35912999*s[17])/9504 - (737185*s[18])/2916 - 
       (4707221*s[19])/11664 - (472513511*s[20])/128304 - 
       (466566721*s[21])/256608 + (130016033*s[22])/256608 - 
       (1741372*s[23])/891 + (245644759*s[24])/128304 - 
       (427712231*s[25])/1154736 + (1108725635*s[26])/1154736 + (8*s[29])/3 - 
       (5*s[30])/2 - (212*s[31])/9 - (71*s[32])/36 - (647*s[33])/24 + 
       (347*s[34])/9 + (34*s[35])/3 + (125*s[36])/6 - (2465*s[37])/54 - 
       (1229*s[38])/12 + (17285*s[39])/48 - (46591*s[40])/144 + 
       (30529*s[41])/144 - (2119*s[42])/4 - (15657*s[43])/176 + 
       (17761*s[44])/132 + (695219*s[45])/4752 + (195697*s[46])/1188 - 
       (894989*s[47])/2376 + (2167679*s[48])/4752 + (920963*s[49])/2376 + 
       (21895*s[50])/132 - (609283*s[51])/1584 - (1883045*s[52])/4752 - 
       (1655237*s[53])/7128 - (1115197*s[54])/2376 - (2866997*s[55])/1188 - 
       (686123*s[56])/3564 - (135612683*s[57])/21384 + 
       (239464949*s[58])/128304 - (44964593*s[59])/32076 + 
       (22371035*s[60])/9504 - (537968009*s[61])/2309472 + (5*s[65])/3 + 
       (20*s[66])/3 - 10*s[67] - (209*s[68])/18 - (41*s[69])/6 - 
       (5*s[70])/6 - (13*s[71])/12 - (25*s[72])/3 + (22*s[73])/3 + 
       (43*s[74])/6 - (43*s[75])/6 + (217*s[76])/9 - (37*s[77])/6 - 
       (103*s[78])/6 + (56*s[79])/9 - (1669*s[80])/54 + (2155*s[82])/6 + 
       (142*s[85])/3)*\[Zeta][2] + HPL[{1}, 1 - v]*Omega2[v, w, u]*
      ((-259*s[2])/3 + (280*s[3])/3 + (979*s[4])/3 - (23039*s[5])/66 - 
       (5743*s[6])/33 - (1095913*s[7])/594 - (485245*s[8])/891 + 
       (321731*s[9])/162 + (134888*s[10])/81 + (1853275*s[11])/1188 + 
       (270227*s[12])/1188 + (32017*s[13])/594 + (1540043*s[14])/594 + 
       (122704*s[15])/27 + (2575561*s[16])/594 + (2509117*s[17])/396 + 
       (6073*s[18])/486 + (259027*s[19])/243 + (32117177*s[20])/5346 + 
       (15702119*s[21])/5346 - (5678113*s[22])/5346 + (6931955*s[23])/1188 - 
       (39954395*s[24])/10692 + (32598605*s[25])/48114 - 
       (66556955*s[26])/48114 - 16*s[29] + 12*s[30] - (110*s[31])/3 + 
       (43*s[32])/3 - 18*s[33] + (146*s[34])/3 - 12*s[35] + (20*s[36])/3 + 
       (308*s[37])/9 + 68*s[38] - 613*s[39] + 625*s[40] - (1175*s[41])/3 + 
       (3305*s[42])/3 - (1519*s[43])/33 - (8783*s[44])/33 - 
       (14950*s[45])/99 - (78791*s[46])/99 + (9785*s[47])/11 - 
       (11522*s[48])/11 + (7283*s[49])/33 - (1102*s[50])/33 + 
       (90680*s[51])/99 + (27274*s[52])/33 + (38921*s[53])/297 + 
       (166558*s[54])/99 + (217234*s[55])/99 - (445061*s[56])/297 + 
       (12681737*s[57])/891 - (14124679*s[58])/2673 + (10052566*s[59])/2673 - 
       (2212337*s[60])/594 - (32719913*s[61])/48114 - 4*s[65] - 16*s[66] + 
       24*s[67] + (92*s[68])/3 + 12*s[69] + 4*s[71] + 24*s[72] + 32*s[73] - 
       18*s[74] + 18*s[75] + (136*s[76])/3 + 8*s[77] - (16*s[79])/3 - 
       (404*s[80])/9 - 432*s[82] + 48*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*Omega2[w, u, v]*(-108*s[2] + 112*s[3] + 314*s[4] - 
       (3611*s[5])/11 - (1286*s[6])/11 - (68564*s[7])/33 - 
       (159377*s[8])/297 + (58412*s[9])/27 + (51478*s[10])/27 + 
       (351337*s[11])/198 + (69305*s[12])/198 + (9869*s[13])/99 + 
       (255932*s[14])/99 + (46234*s[15])/9 + (486008*s[16])/99 + 
       (1396639*s[17])/198 - (11477*s[18])/81 + (115529*s[19])/81 + 
       (5796470*s[20])/891 + (2630021*s[21])/891 - (1055323*s[22])/891 + 
       (1320667*s[23])/198 - (7889009*s[24])/1782 + (15715573*s[25])/16038 - 
       (22880437*s[26])/16038 - 16*s[29] + 12*s[30] - 32*s[31] + 20*s[32] - 
       15*s[33] + 44*s[34] - 12*s[35] + 16*s[36] + (194*s[37])/3 + 78*s[38] - 
       606*s[39] + 602*s[40] - 327*s[41] + 1091*s[42] - (1502*s[43])/11 - 
       (4031*s[44])/22 - (4087*s[45])/33 - (16895*s[46])/33 + 
       (32807*s[47])/33 - (39529*s[48])/33 + (25153*s[49])/33 - 
       (6018*s[50])/11 + (30358*s[51])/33 + (59987*s[52])/66 + 
       (45536*s[53])/99 + (69001*s[54])/33 + (128362*s[55])/33 - 
       (185477*s[56])/99 + (4950848*s[57])/297 - (5219482*s[58])/891 + 
       (3482653*s[59])/891 - (88992*s[60])/11 - (12135467*s[61])/16038 - 
       4*s[65] - 16*s[66] + 24*s[67] + 32*s[68] + 4*s[71] + 24*s[72] + 
       48*s[73] - 18*s[74] + 18*s[75] + 36*s[76] + 12*s[77] - (116*s[80])/3 - 
       432*s[82] + 48*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]*Omega2[u, v, w]*
      ((-362*s[2])/3 + (661*s[3])/6 + (5045*s[4])/12 - (15925*s[5])/66 + 
       (823*s[6])/132 - (410321*s[7])/2376 - (2363849*s[8])/3564 + 
       (45134*s[9])/81 + (196373*s[10])/162 - (540677*s[11])/2376 - 
       (1977233*s[12])/1188 - (2446837*s[13])/2376 + (5263993*s[14])/2376 + 
       (452815*s[15])/216 + (1669447*s[16])/1188 + (3118847*s[17])/792 - 
       (165343*s[18])/486 + (829577*s[19])/972 + (25907435*s[20])/10692 + 
       (32493007*s[21])/21384 - (3896411*s[22])/21384 + (4601951*s[23])/594 - 
       (10141661*s[24])/5346 - (36313468*s[25])/24057 - 
       (1576417*s[26])/48114 - 16*s[29] + 12*s[30] - (130*s[31])/3 + 
       (56*s[32])/3 - 12*s[33] + (166*s[34])/3 - 18*s[35] - s[36]/3 + 
       (520*s[37])/9 + 136*s[38] - (3139*s[39])/4 + (9533*s[40])/12 - 
       (6049*s[41])/12 + (15833*s[42])/12 + (13151*s[43])/132 - 
       (104209*s[44])/264 + (23213*s[45])/198 - (928225*s[46])/396 + 
       (756757*s[47])/792 - (845789*s[48])/792 - (315439*s[49])/792 + 
       (36710*s[50])/33 + (831043*s[51])/792 + (777971*s[52])/792 - 
       (817901*s[53])/1188 + (162938*s[54])/99 - (2740667*s[55])/792 - 
       (7332071*s[56])/2376 + (28127885*s[57])/1782 - 
       (169799413*s[58])/21384 + (138012043*s[59])/21384 + 
       (43904933*s[60])/4752 - (273226951*s[61])/192456 - 4*s[65] - 
       16*s[66] + 24*s[67] + (94*s[68])/3 + 2*s[69] + 4*s[71] + 24*s[72] + 
       48*s[73] - 18*s[74] + 18*s[75] + (140*s[76])/3 + 10*s[77] - 6*s[78] + 
       (28*s[79])/3 - (334*s[80])/9 - 432*s[82] + 48*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*(9*s[2] + (61*s[3])/16 - 
       (10811*s[4])/96 + (57823*s[5])/352 + (63691*s[6])/264 + 
       (2206711*s[7])/2112 + (102073*s[8])/1188 - (854237*s[9])/864 - 
       (488833*s[10])/864 - (5922943*s[11])/6336 - (1923343*s[12])/3168 - 
       (1696543*s[13])/6336 - (7883563*s[14])/6336 - (1059941*s[15])/576 - 
       (6364955*s[16])/3168 - (15857161*s[17])/6336 - (991987*s[18])/2592 - 
       (46697*s[19])/2592 - (43746301*s[20])/14256 - (89496955*s[21])/57024 + 
       (30042875*s[22])/57024 - (198103*s[23])/396 + (8755843*s[24])/7128 - 
       (324586303*s[25])/513216 + (490751089*s[26])/513216 + 4*s[29] - 
       (9*s[30])/4 + 3*s[31] - (3*s[32])/8 - (187*s[33])/16 + (33*s[34])/4 + 
       10*s[35] + (56*s[36])/3 - (811*s[37])/48 - (443*s[38])/12 + 
       (1497*s[39])/8 - (3557*s[40])/24 + (761*s[41])/6 - (29879*s[42])/96 + 
       (5107*s[43])/264 + (27839*s[44])/352 + (277501*s[45])/1056 - 
       (231725*s[46])/352 - (670559*s[47])/3168 + (1128205*s[48])/3168 + 
       (146489*s[49])/792 + (18745*s[50])/44 - (355177*s[51])/1584 - 
       (440125*s[52])/3168 - (441665*s[53])/1056 + (45181*s[54])/264 - 
       (1432979*s[55])/396 - (1034615*s[56])/792 - (28155025*s[57])/9504 - 
       (1759915*s[58])/7128 + (7547215*s[59])/28512 + 
       (125854471*s[60])/19008 - (348770453*s[61])/513216 + s[65] + 4*s[66] - 
       6*s[67] - (17*s[68])/4 - (29*s[69])/4 - s[70]/4 - (9*s[71])/4 - 
       (11*s[72])/2 - 2*s[73] + (51*s[74])/8 - (51*s[75])/8 - (9*s[76])/2 - 
       (5*s[77])/4 - (13*s[78])/4 + (43*s[79])/2 - (553*s[80])/24 + 
       186*s[82] + 49*s[85])*\[Zeta][2] + Ot[u, v, w]*
      ((220*s[2])/3 - (665*s[3])/6 - (10777*s[4])/12 + (44839*s[5])/132 + 
       (250*s[6])/33 - (7501895*s[7])/2376 + (1039879*s[8])/891 + 
       (640469*s[9])/324 - (112007*s[10])/324 + (10044235*s[11])/2376 + 
       (1908256*s[12])/297 + (9581381*s[13])/2376 - (9147821*s[14])/2376 + 
       (519931*s[15])/216 + (5358721*s[16])/1188 - (186931*s[17])/792 + 
       (39433*s[18])/972 + (807065*s[19])/972 + (26931731*s[20])/10692 - 
       (18344993*s[21])/21384 - (34101893*s[22])/21384 - 
       (7007395*s[23])/594 - (15340139*s[24])/5346 + (1469853721*s[25])/
        192456 - (374266225*s[26])/192456 + 24*s[29] - 12*s[30] + 
       (98*s[31])/3 - (22*s[32])/3 - 6*s[33] - (62*s[34])/3 + 38*s[35] + 
       66*s[36] - (1237*s[37])/18 - 328*s[38] + (3321*s[39])/2 - 
       (9979*s[40])/6 + (7531*s[41])/6 - (5171*s[42])/2 - (17043*s[43])/22 + 
       (54069*s[44])/44 - (98375*s[45])/396 + (2490899*s[46])/396 - 
       (117563*s[47])/99 + (232385*s[48])/198 + (440249*s[49])/99 - 
       (53365*s[50])/11 - (116539*s[51])/66 - (526573*s[52])/396 + 
       (3730711*s[53])/1188 - (16282*s[54])/99 + (1655195*s[55])/99 + 
       (2350699*s[56])/594 - (16363148*s[57])/891 + (137472385*s[58])/10692 - 
       (68226041*s[59])/5346 - (35841799*s[60])/792 + 
       (369478559*s[61])/192456 + 6*s[65] + 24*s[66] - 36*s[67] - 
       (80*s[68])/3 - 40*s[69] - 2*s[70] - 10*s[71] - 32*s[72] - 16*s[73] + 
       28*s[74] - 28*s[75] - (112*s[76])/3 + 2*s[77] - 22*s[78] + 
       (100*s[79])/3 - (163*s[80])/9 + 316*s[82] + 56*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((109*s[2])/6 + (201*s[3])/2 + (5443*s[4])/6 + (28840*s[5])/33 + 
       (467311*s[6])/264 + (39747263*s[7])/2376 - (9748061*s[8])/7128 - 
       (9217669*s[9])/648 - (709757*s[10])/162 - (86795219*s[11])/4752 - 
       (94645099*s[12])/4752 - (27950465*s[13])/2376 - (5676727*s[14])/2376 - 
       (4840639*s[15])/216 - (66994643*s[16])/2376 - (34677725*s[17])/1584 - 
       (6617465*s[18])/1944 - (4209739*s[19])/1944 - (361894091*s[20])/
        10692 - (269278753*s[21])/21384 + (93821491*s[22])/10692 + 
       (96093467*s[23])/4752 + (761452255*s[24])/42768 - 
       (8856054569*s[25])/384912 + (5005690805*s[26])/384912 - 2*s[30] + 
       (16*s[31])/3 + (17*s[32])/2 + 3*s[33] - (28*s[34])/3 - 12*s[35] - 
       (98*s[36])/3 + (821*s[37])/9 + (3577*s[38])/6 - (13955*s[39])/6 + 
       (15361*s[40])/6 - (5810*s[41])/3 + (6689*s[42])/2 + 
       (127057*s[43])/66 - (536869*s[44])/264 + (223760*s[45])/99 - 
       (1719956*s[46])/99 + (373013*s[47])/396 - (38629*s[48])/396 - 
       (3446573*s[49])/396 + (871445*s[50])/66 + (151945*s[51])/66 + 
       (1514489*s[52])/792 - (2740468*s[53])/297 + (231925*s[54])/396 - 
       (7703009*s[55])/132 - (4587134*s[56])/297 + (15982256*s[57])/891 - 
       (149164091*s[58])/5346 + (301241887*s[59])/10692 + 
       (27803035*s[60])/198 - (1450154303*s[61])/192456 - s[68] - 
       (10*s[69])/3 - 2*s[70] + 2*s[71] + 8*s[72] + 15*s[73] - 8*s[74] + 
       8*s[75] - (44*s[76])/3 + s[77]/3 + 10*s[78] + (476*s[79])/3 - 
       (341*s[80])/9 + 103*s[82] - 6*s[83] + 60*s[84] + 72*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-700*s[2])/9 - (4807*s[3])/72 - (54991*s[4])/18 - 
       (2044057*s[5])/1584 - (3050303*s[6])/792 - (583459265*s[7])/14256 + 
       (41023529*s[8])/10692 + (132159031*s[9])/3888 + 
       (42247991*s[10])/3888 + (161834887*s[11])/3564 + 
       (1431696379*s[12])/28512 + (861686989*s[13])/28512 + 
       (46922045*s[14])/28512 + (71506189*s[15])/1296 + 
       (1993215823*s[16])/28512 + (250944835*s[17])/4752 + 
       (67728497*s[18])/11664 + (48482231*s[19])/5832 + 
       (1260829247*s[20])/16038 + (6792727955*s[21])/256608 - 
       (5522432713*s[22])/256608 - (679040647*s[23])/14256 - 
       (748888873*s[24])/16038 + (137736535643*s[25])/2309472 - 
       (70359615377*s[26])/2309472 + (53*s[29])/2 - (55*s[30])/4 - 
       (74*s[31])/9 + (581*s[32])/18 - (1189*s[33])/48 + (1469*s[34])/36 + 
       (139*s[35])/3 + (4243*s[36])/18 - (21959*s[37])/216 - 
       (21269*s[38])/12 + (89893*s[39])/12 - (98719*s[40])/12 + 
       (240493*s[41])/36 - (1552387*s[42])/144 - (2673955*s[43])/396 + 
       (22951481*s[44])/3168 - (31315771*s[45])/4752 + 
       (268277125*s[46])/4752 - (6360895*s[47])/3168 - (3409111*s[48])/3168 + 
       (103798679*s[49])/3168 - (35796863*s[50])/792 - 
       (66362243*s[51])/9504 - (1790859*s[52])/352 + (55572151*s[53])/1782 + 
       (1766813*s[54])/594 + (1845552569*s[55])/9504 + 
       (1282473329*s[56])/28512 - (1728251893*s[57])/42768 + 
       (21338730013*s[58])/256608 - (22550277631*s[59])/256608 - 
       (27068212537*s[60])/57024 + (51433015627*s[61])/2309472 + 
       (23*s[65])/4 + 21*s[66] - 32*s[67] + (143*s[68])/9 - (325*s[69])/3 - 
       (28*s[70])/3 - (113*s[71])/12 - (115*s[72])/3 + (440*s[73])/3 + 
       (241*s[74])/6 - (241*s[75])/6 + (355*s[76])/9 + (166*s[77])/3 - 
       (649*s[78])/6 - (4522*s[79])/9 + (5479*s[80])/108 - (3592*s[82])/3 - 
       (67*s[83])/4 - (415*s[84])/2 + (220*s[85])/3)*\[Zeta][2] + 
     Qep[w, u, v]*((-14464*s[2])/9 + (8848*s[3])/9 - (3032*s[4])/9 - 
       (816472*s[5])/99 - (1114048*s[6])/99 - (96034628*s[7])/891 - 
       (223984*s[8])/2673 + (23249272*s[9])/243 + (11464664*s[10])/243 + 
       (99059572*s[11])/891 + (89076056*s[12])/891 + (51219716*s[13])/891 + 
       (41382148*s[14])/891 + (14145988*s[15])/81 + (179548880*s[16])/891 + 
       (6639140*s[17])/33 + (10455848*s[18])/729 + (21730408*s[19])/729 + 
       (1980607312*s[20])/8019 + (798787156*s[21])/8019 - 
       (458623028*s[22])/8019 - (5669992*s[23])/891 - 
       (1161258584*s[24])/8019 + (8879775292*s[25])/72171 - 
       (5896368100*s[26])/72171 - (512*s[29])/3 + 192*s[30] - 
       (3968*s[31])/9 + (2464*s[32])/9 + (368*s[33])/3 + (4544*s[34])/9 - 
       (512*s[35])/3 + (1088*s[36])/3 + (16496*s[37])/27 - 1216*s[38] + 
       (4640*s[39])/3 - (26464*s[40])/9 + (35200*s[41])/9 + (2504*s[42])/3 - 
       (123936*s[43])/11 + (225152*s[44])/33 - (4051192*s[45])/297 + 
       (23279656*s[46])/297 + (3090272*s[47])/297 - (5587936*s[48])/297 + 
       (14940184*s[49])/297 - (2302976*s[50])/33 + (332696*s[51])/99 + 
       (1245472*s[52])/297 + (45587768*s[53])/891 + (6890656*s[54])/297 + 
       (100676104*s[55])/297 + (50860984*s[56])/891 + 
       (396721208*s[57])/2673 + (445994456*s[58])/8019 - 
       (658509728*s[59])/8019 - (234799424*s[60])/297 + 
       (2194238348*s[61])/72171 - (128*s[65])/3 - (512*s[66])/3 + 256*s[67] + 
       (4160*s[68])/9 - 192*s[69] - (64*s[70])/3 + 64*s[71] + (896*s[72])/3 + 
       (2560*s[73])/3 - (736*s[74])/3 + (736*s[75])/3 + (4864*s[76])/9 + 
       (832*s[77])/3 - (704*s[78])/3 - (3712*s[79])/9 - (6368*s[80])/27 - 
       (21376*s[82])/3 + (256*s[85])/3)*\[Zeta][2] + 
     HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w]*((63*s[2])/4 + (7*s[3])/4 - 
       (22273*s[4])/48 + (29751*s[5])/176 + (17491*s[6])/132 - 
       (7442711*s[7])/4752 + (6666085*s[8])/14256 + (1459463*s[9])/1296 - 
       (104191*s[10])/648 + (20679889*s[11])/9504 + (15299041*s[12])/4752 + 
       (2212741*s[13])/1056 - (20587871*s[14])/9504 + (176099*s[15])/144 + 
       (7032085*s[16])/3168 - (2584519*s[17])/9504 - (138605*s[18])/972 + 
       (2321285*s[19])/3888 + (12057593*s[20])/10692 - 
       (52545641*s[21])/85536 - (76550063*s[22])/85536 - 
       (1857241*s[23])/352 - (137609225*s[24])/85536 + 
       (1521863969*s[25])/384912 - (19926776*s[26])/24057 + (23*s[29])/3 - 
       (23*s[30])/4 + (10*s[31])/3 - (5*s[32])/6 - (1439*s[33])/48 + 
       (91*s[34])/4 + (68*s[35])/3 + (1931*s[36])/36 - (110*s[37])/3 - 
       (2549*s[38])/12 + (44017*s[39])/48 - (127967*s[40])/144 + 
       (34567*s[41])/48 - (12421*s[42])/9 - (586909*s[43])/1584 + 
       (1031527*s[44])/1584 - (6247*s[45])/264 + (4581565*s[46])/1584 - 
       (3033881*s[47])/4752 + (1878743*s[48])/2376 + (740342*s[49])/297 - 
       (1984283*s[50])/792 - (4773367*s[51])/4752 - (1659749*s[52])/2376 + 
       (1722557*s[53])/1188 + (191395*s[54])/396 + (5801503*s[55])/792 + 
       (546643*s[56])/594 - (134482151*s[57])/14256 + 
       (127128905*s[58])/21384 - (257500285*s[59])/42768 - 
       (154471763*s[60])/7128 + (304687661*s[61])/769824 + (25*s[65])/12 + 
       (25*s[66])/3 - (71*s[67])/6 - (53*s[68])/6 - (83*s[69])/6 + s[70]/6 - 
       (55*s[71])/12 - (43*s[72])/3 - (13*s[73])/3 + (67*s[74])/4 - 
       (67*s[75])/4 - (8*s[76])/3 - (7*s[77])/2 - (65*s[78])/6 + 6*s[79] - 
       (145*s[80])/3 + 230*s[82] - s[83]/4 - (47*s[84])/2 + 92*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v]*
      ((-377*s[2])/18 - (361*s[3])/18 - (49513*s[4])/72 + (13133*s[5])/72 + 
       (7325*s[6])/288 - (2601167*s[7])/648 + (5682077*s[8])/7776 + 
       (22903955*s[9])/7776 + (229079*s[10])/243 + (24205367*s[11])/5184 + 
       (29319607*s[12])/5184 + (8782331*s[13])/2592 - (5354717*s[14])/2592 + 
       (7090663*s[15])/1296 + (9126169*s[16])/1296 + (833417*s[17])/192 - 
       (3814805*s[18])/23328 + (40907705*s[19])/23328 + (4344842*s[20])/729 + 
       (17451085*s[21])/23328 - (24445801*s[22])/11664 - 
       (32430737*s[23])/5184 - (243862417*s[24])/46656 + 
       (3047822741*s[25])/419904 - (987516209*s[26])/419904 + (28*s[29])/3 - 
       (3*s[30])/2 + (13*s[31])/9 + (247*s[32])/36 - (821*s[33])/24 + 
       (221*s[34])/9 + (85*s[35])/3 + (157*s[36])/2 + (191*s[37])/108 - 
       (709*s[38])/4 + (48449*s[39])/48 - (146563*s[40])/144 + 
       (66335*s[41])/72 - (24839*s[42])/16 - (350255*s[43])/528 + 
       (472441*s[44])/528 - (552091*s[45])/4752 + (10679483*s[46])/2376 - 
       (956159*s[47])/2376 + (1786751*s[48])/4752 + (4763317*s[49])/1188 - 
       (556921*s[50])/132 - (173275*s[51])/176 - (1315147*s[52])/2376 + 
       (19768921*s[53])/7128 + (2715293*s[54])/2376 + (17722921*s[55])/1188 + 
       (23196271*s[56])/14256 - (106137701*s[57])/21384 + 
       (811136219*s[58])/128304 - (963331439*s[59])/128304 - 
       (91166279*s[60])/2376 + (991769831*s[61])/1154736 + (10*s[65])/3 + 
       (40*s[66])/3 - 20*s[67] + (79*s[68])/18 - (99*s[69])/2 - 
       (17*s[70])/6 - (25*s[71])/4 - (43*s[72])/3 + (106*s[73])/3 + 
       (91*s[74])/6 - (91*s[75])/6 - (2*s[76])/9 + (89*s[77])/6 - 
       (175*s[78])/6 - (124*s[79])/9 - (1055*s[80])/27 + (719*s[82])/3 + 
       (382*s[85])/3)*\[Zeta][2] + HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*
      (2*s[1] - (53*s[2])/3 + (749*s[3])/24 - (1478*s[4])/3 + 
       (74291*s[5])/528 + (138161*s[6])/528 - (517885*s[7])/297 + 
       (4222109*s[8])/7128 + (783613*s[9])/648 - (61651*s[10])/648 + 
       (22179979*s[11])/9504 + (3975853*s[12])/1188 + (20273741*s[13])/9504 - 
       (24065249*s[14])/9504 + (849227*s[15])/432 + (26586341*s[16])/9504 + 
       (1254833*s[17])/3168 - (338795*s[18])/972 + (880751*s[19])/972 + 
       (27448387*s[20])/21384 - (47944373*s[21])/85536 - 
       (83944145*s[22])/85536 - (54749941*s[23])/9504 - 
       (176661635*s[24])/85536 + (3280269943*s[25])/769824 - 
       (705529459*s[26])/769824 + (40*s[29])/3 - (5*s[30])/2 + (23*s[31])/3 + 
       (13*s[32])/12 - (625*s[33])/24 + (137*s[34])/6 + 37*s[35] + 
       (607*s[36])/6 - (923*s[37])/24 - (1507*s[38])/6 + (18923*s[39])/16 - 
       (18475*s[40])/16 + (44717*s[41])/48 - (42781*s[42])/24 - 
       (119965*s[43])/176 + (489977*s[44])/528 - (19951*s[45])/132 + 
       (799527*s[46])/176 - (1019873*s[47])/1584 + (637061*s[48])/792 + 
       (6457343*s[49])/1584 - (177149*s[50])/44 - (71131*s[51])/66 - 
       (71806*s[52])/99 + (1078871*s[53])/396 + (144937*s[54])/132 + 
       (1924597*s[55])/132 + (2668337*s[56])/1584 - (39681677*s[57])/4752 + 
       (108252493*s[58])/14256 - (62645471*s[59])/7128 - 
       (352608095*s[60])/9504 + (198412979*s[61])/256608 + (10*s[65])/3 + 
       (40*s[66])/3 - 20*s[67] - (37*s[68])/6 - (233*s[69])/6 - (5*s[70])/2 - 
       (53*s[71])/6 - 15*s[72] + 22*s[73] + (67*s[74])/4 - (67*s[75])/4 - 
       (23*s[76])/3 + (13*s[77])/2 - (55*s[78])/2 + (167*s[79])/3 - 
       (869*s[80])/12 + (525*s[82])/2 + 134*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      ((392*s[2])/9 - (359*s[3])/36 - (31103*s[4])/144 + (458371*s[5])/792 + 
       (1197287*s[6])/1584 + (139920323*s[7])/28512 + (6701393*s[8])/42768 - 
       (8939155*s[9])/1944 - (1962853*s[10])/972 - (140257291*s[11])/28512 - 
       (3784180*s[12])/891 - (67285085*s[13])/28512 - 
       (97647415*s[14])/28512 - (19837813*s[15])/2592 - 
       (126367729*s[16])/14256 - (86897435*s[17])/9504 - 
       (2025515*s[18])/1458 - (4065809*s[19])/11664 - 
       (1597304891*s[20])/128304 - (1479033997*s[21])/256608 + 
       (674511533*s[22])/256608 + (4339123*s[23])/7128 + 
       (720097021*s[24])/128304 - (5463375311*s[25])/1154736 + 
       (4796768063*s[26])/1154736 + (44*s[29])/3 - (15*s[30])/2 + 
       (238*s[31])/9 + (13*s[32])/36 + (109*s[33])/24 - (211*s[34])/9 + 
       (71*s[35])/6 + (55*s[36])/6 + (1333*s[37])/54 + (259*s[38])/12 + 
       (9529*s[39])/48 - (20563*s[40])/144 + (23125*s[41])/144 - 
       (5293*s[42])/12 + (39243*s[43])/176 + (1079*s[44])/264 + 
       (5654615*s[45])/4752 - (5249051*s[46])/1188 - (916559*s[47])/2376 + 
       (3800015*s[48])/4752 - (984889*s[49])/2376 + (210649*s[50])/66 - 
       (444647*s[51])/1584 - (588023*s[52])/4752 - (17767325*s[53])/7128 + 
       (179903*s[54])/2376 - (5640911*s[55])/297 - (21252113*s[56])/3564 - 
       (107463113*s[57])/21384 - (675871303*s[58])/128304 + 
       (81344147*s[59])/16038 + (375813271*s[60])/9504 - 
       (6957853733*s[61])/2309472 + (11*s[65])/3 + (44*s[66])/3 - 22*s[67] - 
       (143*s[68])/18 - (79*s[69])/2 - (5*s[70])/6 - (37*s[71])/12 - 
       (55*s[72])/3 + (61*s[73])/3 + (85*s[74])/6 - (85*s[75])/6 - 
       (278*s[76])/9 + (21*s[77])/2 - (43*s[78])/6 + (344*s[79])/9 + 
       (293*s[80])/54 + (4501*s[82])/6 + 12*s[84] + (442*s[85])/3)*
      \[Zeta][2] + HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
      (226*s[2] - (707*s[3])/2 - (10519*s[4])/4 + (48271*s[5])/44 + 
       (2183*s[6])/22 - (6381677*s[7])/792 + (2020919*s[8])/594 + 
       (508001*s[9])/108 - (158603*s[10])/108 + (8807065*s[11])/792 + 
       (1740682*s[12])/99 + (8769647*s[13])/792 - (9228671*s[14])/792 + 
       (379069*s[15])/72 + (4406671*s[16])/396 - (683581*s[17])/264 - 
       (11987*s[18])/324 + (689051*s[19])/324 + (16945469*s[20])/3564 - 
       (25326935*s[21])/7128 - (28642703*s[22])/7128 - (3396398*s[23])/99 - 
       (6088924*s[24])/891 + (1341404917*s[25])/64152 - 
       (306959029*s[26])/64152 + 72*s[29] - 36*s[30] + 98*s[31] - 28*s[32] - 
       18*s[33] - 62*s[34] + 114*s[35] + 186*s[36] - (1207*s[37])/6 - 
       906*s[38] + (9537*s[39])/2 - (9541*s[40])/2 + (7189*s[41])/2 - 
       (14979*s[42])/2 - (46311*s[43])/22 + (153561*s[44])/44 - 
       (70325*s[45])/132 + (2279105*s[46])/132 - (233113*s[47])/66 + 
       (118288*s[48])/33 + (813739*s[49])/66 - (145608*s[50])/11 - 
       (56427*s[51])/11 - (508027*s[52])/132 + (3380185*s[53])/396 - 
       (24136*s[54])/33 + (2937655*s[55])/66 + (1064387*s[56])/99 - 
       (16140563*s[57])/297 + (129408373*s[58])/3564 - (31898770*s[59])/891 - 
       (32104043*s[60])/264 + (332245517*s[61])/64152 + 18*s[65] + 72*s[66] - 
       108*s[67] - 74*s[68] - 120*s[69] - 6*s[70] - 30*s[71] - 96*s[72] - 
       48*s[73] + 84*s[74] - 84*s[75] - 112*s[76] + 6*s[77] - 66*s[78] + 
       100*s[79] - (133*s[80])/3 + 948*s[82] + 168*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*(142*s[2] + 59*s[3] + 
       (2629*s[4])/2 + (48989*s[5])/22 + (48091*s[6])/11 + 
       (14404853*s[7])/396 - (561497*s[8])/297 - (1706351*s[9])/54 - 
       (582349*s[10])/54 - (15378181*s[11])/396 - (7967767*s[12])/198 - 
       (9455069*s[13])/396 - (3922723*s[14])/396 - (1828537*s[15])/36 - 
       (6123101*s[16])/99 - (6853643*s[17])/132 - (1183267*s[18])/162 - 
       (795197*s[19])/162 - (137673521*s[20])/1782 - (106220755*s[21])/3564 + 
       (68219501*s[22])/3564 + (3021427*s[23])/99 + (36485876*s[24])/891 - 
       (1503530863*s[25])/32076 + (910587463*s[26])/32076 + 48*s[29] - 
       12*s[30] + 44*s[31] - 22*s[32] + 45*s[33] - 32*s[34] + 24*s[35] + 
       78*s[36] + (163*s[37])/3 + 900*s[38] - (7383*s[39])/2 + 
       (8669*s[40])/2 - (7007*s[41])/2 + (10755*s[42])/2 + (81507*s[43])/22 - 
       (154305*s[44])/44 + (281663*s[45])/66 - (1062256*s[46])/33 + 
       (135349*s[47])/132 + (130267*s[48])/132 - (2024719*s[49])/132 + 
       (270597*s[50])/11 + (172021*s[51])/44 + (426131*s[52])/132 - 
       (1704902*s[53])/99 + (91679*s[54])/33 - (14578627*s[55])/132 - 
       (11524651*s[56])/396 + (6180199*s[57])/297 - (170849639*s[58])/3564 + 
       (172662851*s[59])/3564 + (23442547*s[60])/88 - 
       (226989277*s[61])/16038 + 12*s[65] + 48*s[66] - 72*s[67] - 44*s[68] - 
       96*s[69] - 24*s[70] - 12*s[71] - 24*s[72] + 72*s[73] + 12*s[74] - 
       12*s[75] - 40*s[76] + 24*s[77] - 96*s[78] + 496*s[79] - 
       (382*s[80])/3 + 66*s[82] - 36*s[83] + 216*s[84] + 168*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((-647*s[2])/4 - (1729*s[3])/24 - (32279*s[4])/12 - (159893*s[5])/132 - 
       (433313*s[6])/132 - (346669211*s[7])/9504 + (44218199*s[8])/14256 + 
       (19667777*s[9])/648 + (12946319*s[10])/1296 + (48411271*s[11])/1188 + 
       (213236585*s[12])/4752 + (42975395*s[13])/1584 + 
       (7421929*s[14])/4752 + (4741963*s[15])/96 + (66413855*s[16])/1056 + 
       (226930667*s[17])/4752 + (18917753*s[18])/3888 + (7803637*s[19])/972 + 
       (377162897*s[20])/5346 + (125961287*s[21])/5346 - 
       (412836865*s[22])/21384 - (127285589*s[23])/3168 - 
       (3649069033*s[24])/85536 + (41087172161*s[25])/769824 - 
       (20710972613*s[26])/769824 - s[29] - s[30]/4 - (142*s[31])/3 + 
       (293*s[32])/12 - (1315*s[33])/16 + (1267*s[34])/12 + (160*s[35])/3 + 
       (8275*s[36])/36 - (12163*s[37])/72 - (5363*s[38])/4 + 
       (265651*s[39])/48 - (859837*s[40])/144 + (76871*s[41])/16 - 
       (1138631*s[42])/144 - (7211111*s[43])/1584 + (1046011*s[44])/198 - 
       (6371147*s[45])/1584 + (29684921*s[46])/792 - (501280*s[47])/297 - 
       (970855*s[48])/4752 + (13892807*s[49])/594 - (24039571*s[50])/792 - 
       (24187319*s[51])/4752 - (16991753*s[52])/4752 + 
       (97703051*s[53])/4752 + (1318381*s[54])/396 + (50105267*s[55])/396 + 
       (612937*s[56])/22 - (78088541*s[57])/2376 + (200418631*s[58])/3564 - 
       (212447089*s[59])/3564 - (9009476611*s[60])/28512 + 
       (288856685*s[61])/21384 + (37*s[65])/12 + (31*s[66])/3 - 
       (91*s[67])/6 + (76*s[68])/3 - (193*s[69])/3 - (5*s[70])/3 - 
       (211*s[71])/12 - (74*s[72])/3 + (277*s[73])/3 + 43*s[74] - 43*s[75] + 
       77*s[76] + (73*s[77])/3 - (227*s[78])/3 - (1183*s[79])/3 + 
       (359*s[80])/36 - 597*s[82] - (59*s[83])/4 - (337*s[84])/2 + 190*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      (19*s[2] + (2047*s[3])/12 + (8827*s[4])/8 + (285181*s[5])/264 + 
       (198201*s[6])/88 + (102183577*s[7])/4752 - (11603849*s[8])/7128 - 
       (5889383*s[9])/324 - (4084715*s[10])/648 - (55134769*s[11])/2376 - 
       (117460309*s[12])/4752 - (68907649*s[13])/4752 - 
       (18983219*s[14])/4752 - (12957797*s[15])/432 - (87974525*s[16])/2376 - 
       (7992533*s[17])/264 - (1868957*s[18])/486 - (3560945*s[19])/972 - 
       (949730305*s[20])/21384 - (691236527*s[21])/42768 + 
       (479573719*s[22])/42768 + (101546387*s[23])/4752 + 
       (1039274239*s[24])/42768 - (5590388677*s[25])/192456 + 
       (3154110187*s[26])/192456 - (10*s[31])/3 - (11*s[32])/3 - 
       (11*s[33])/2 + 8*s[34] - (47*s[35])/3 - (397*s[36])/18 + 
       (1837*s[37])/36 + 596*s[38] - (57533*s[39])/24 + (198283*s[40])/72 - 
       (16829*s[41])/8 + (243257*s[42])/72 + (1917041*s[43])/792 - 
       (3938863*s[44])/1584 + (2604083*s[45])/792 - (4574833*s[46])/198 + 
       (2481005*s[47])/4752 + (4592015*s[48])/4752 - (52603559*s[49])/4752 + 
       (3584039*s[50])/198 + (10953103*s[51])/4752 + (8253997*s[52])/4752 - 
       (7604447*s[53])/594 + (14375*s[54])/198 - (130955141*s[55])/1584 - 
       (33076015*s[56])/1584 + (1849259*s[57])/198 - (471477475*s[58])/
        14256 + (486830995*s[59])/14256 + (5561952335*s[60])/28512 - 
       (335634839*s[61])/32076 - (41*s[68])/3 + (43*s[69])/3 - 2*s[70] + 
       s[71] + 8*s[72] + 4*s[73] - (35*s[74])/6 + (35*s[75])/6 - 2*s[76] - 
       (43*s[77])/3 + (4*s[78])/3 + 220*s[79] - (1319*s[80])/18 + 807*s[82] - 
       6*s[83] + 60*s[84] + 200*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u]*((2123*s[2])/18 + 
       (3001*s[3])/72 + (343685*s[4])/144 + (2844847*s[5])/1584 + 
       (377329*s[6])/99 + (1124397031*s[7])/28512 - (68300923*s[8])/21384 - 
       (129133273*s[9])/3888 - (43138103*s[10])/3888 - 
       (1234959545*s[11])/28512 - (332823175*s[12])/7128 - 
       (796932271*s[13])/28512 - (114324659*s[14])/28512 - 
       (141483995*s[15])/2592 - (60728681*s[16])/891 - 
       (171249443*s[17])/3168 - (69040835*s[18])/11664 - 
       (92111137*s[19])/11664 - (2503798243*s[20])/32076 - 
       (7093548899*s[21])/256608 + (5335081303*s[22])/256608 + 
       (36548806*s[23])/891 + (2923962901*s[24])/64152 - 
       (128119373273*s[25])/2309472 + (68393603603*s[26])/2309472 - 
       (28*s[29])/3 - (3*s[30])/2 + (275*s[31])/9 - (913*s[32])/36 + 
       (827*s[33])/24 - (1387*s[34])/18 - (157*s[35])/3 - (449*s[36])/2 + 
       (30749*s[37])/216 + (8525*s[38])/6 - (15329*s[39])/3 + 
       (49627*s[40])/9 - (38851*s[41])/9 + (333659*s[42])/48 + 
       (169174*s[43])/33 - (1294819*s[44])/264 + (29397487*s[45])/4752 - 
       (211863505*s[46])/4752 + (2507999*s[47])/2376 + (3170441*s[48])/2376 - 
       (113620501*s[49])/4752 + (1170355*s[50])/33 + (2309905*s[51])/528 + 
       (7947097*s[52])/2376 - (360041819*s[53])/14256 - 
       (3677797*s[54])/1188 - (760255495*s[55])/4752 - 
       (531864445*s[56])/14256 + (851664697*s[57])/42768 - 
       (8151085409*s[58])/128304 + (4350212665*s[59])/64152 + 
       (600649525*s[60])/1584 - (43122726835*s[61])/2309472 - s[65]/3 - 
       (4*s[66])/3 + 2*s[67] - (349*s[68])/18 + (75*s[69])/2 + (77*s[70])/6 + 
       (9*s[71])/2 - (5*s[72])/3 - (178*s[73])/3 - (11*s[74])/12 + 
       (11*s[75])/12 - (628*s[76])/9 - (119*s[77])/6 + (499*s[78])/6 + 
       (1069*s[79])/9 + (11267*s[80])/108 + (4663*s[82])/3 - 15*s[83] + 
       114*s[84] + (614*s[85])/3)*\[Zeta][2] + HPL[{1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - u]*(226*s[2] - 268*s[3] - (5187*s[4])/2 + 
       (24109*s[5])/22 + (4511*s[6])/22 - (762175*s[7])/99 + 
       (1961753*s[8])/594 + (243007*s[9])/54 - (43631*s[10])/27 + 
       (2127019*s[11])/198 + (3397457*s[12])/198 + (1090453*s[13])/99 - 
       (1169407*s[14])/99 + (84601*s[15])/18 + (1013818*s[16])/99 - 
       (111967*s[17])/33 - (44887*s[18])/162 + (354151*s[19])/162 + 
       (3355175*s[20])/891 - (3492919*s[21])/891 - (3459046*s[22])/891 - 
       (6516853*s[23])/198 - (11620937*s[24])/1782 + (164169218*s[25])/8019 - 
       (35931062*s[26])/8019 + 72*s[29] - 36*s[30] + 104*s[31] - 22*s[32] - 
       (61*s[33])/2 - 54*s[34] + 144*s[35] + 208*s[36] - (674*s[37])/3 - 
       941*s[38] + 4705*s[39] - 4645*s[40] + (6989*s[41])/2 - 
       (14673*s[42])/2 - (22427*s[43])/11 + (37190*s[44])/11 - 
       (30367*s[45])/66 + (1094635*s[46])/66 - (460067*s[47])/132 + 
       (493501*s[48])/132 + (1578377*s[49])/132 - (139872*s[50])/11 - 
       (217243*s[51])/44 - (127300*s[52])/33 + (808549*s[53])/99 - 
       (37769*s[54])/66 + (5652995*s[55])/132 + (3940505*s[56])/396 - 
       (31366915*s[57])/594 + (125235559*s[58])/3564 - 
       (123873355*s[59])/3564 - (10210323*s[60])/88 + 
       (146063887*s[61])/32076 + 18*s[65] + 72*s[66] - 108*s[67] - 80*s[68] - 
       120*s[69] - 6*s[70] - 33*s[71] - 96*s[72] - 48*s[73] + 87*s[74] - 
       87*s[75] - 118*s[76] + 2*s[77] - 54*s[78] + 112*s[79] - 
       (178*s[80])/3 + 1164*s[82] + 216*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*(156*s[2] - (793*s[3])/2 - 
       (11283*s[4])/4 + (45489*s[5])/44 - (4089*s[6])/22 - 
       (8485469*s[7])/792 + (2077367*s[8])/594 + (731687*s[9])/108 - 
       (36635*s[10])/108 + (10938679*s[11])/792 + (7926241*s[12])/396 + 
       (10018175*s[13])/792 - (8762759*s[14])/792 + (708169*s[15])/72 + 
       (6461557*s[16])/396 + (696733*s[17])/264 + (6643*s[18])/324 + 
       (1053983*s[19])/324 + (35927495*s[20])/3564 - (13180103*s[21])/7128 - 
       (37672871*s[22])/7128 - (13693307*s[23])/396 - (38190613*s[24])/3564 + 
       (1561445377*s[25])/64152 - (422304073*s[26])/64152 + 72*s[29] - 
       36*s[30] + 104*s[31] + 3*s[32] - 15*s[33] - 68*s[34] + 114*s[35] + 
       198*s[36] - (823*s[37])/6 - 861*s[38] + 4975*s[39] - 5047*s[40] + 
       (7767*s[41])/2 - (15717*s[42])/2 - (26837*s[43])/11 + 
       (84389*s[44])/22 - (67583*s[45])/132 + (2469377*s[46])/132 - 
       (73049*s[47])/22 + (74659*s[48])/22 + (307895*s[49])/22 - 
       (163696*s[50])/11 - (171962*s[51])/33 - (86259*s[52])/22 + 
       (3860095*s[53])/396 - (21701*s[54])/66 + (1129061*s[55])/22 + 
       (1088123*s[56])/99 - (30041221*s[57])/594 + (130430671*s[58])/3564 - 
       (66196205*s[59])/1782 - (107458411*s[60])/792 + 
       (346308353*s[61])/64152 + 18*s[65] + 72*s[66] - 108*s[67] - 62*s[68] - 
       146*s[69] - 6*s[70] - 30*s[71] - 96*s[72] - 36*s[73] + 84*s[74] - 
       84*s[75] - 112*s[76] + 24*s[77] - 66*s[78] + 124*s[79] - 
       (169*s[80])/3 + 1164*s[82] + 216*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*(256*s[2] + 100*s[3] + 
       1131*s[4] + (27923*s[5])/11 + (105923*s[6])/22 + (3866395*s[7])/99 - 
       (1046345*s[8])/594 - (922904*s[9])/27 - (636257*s[10])/54 - 
       (16614467*s[11])/396 - (17166217*s[12])/396 - (2589121*s[13])/99 - 
       (1089098*s[14])/99 - (485819*s[15])/9 - (13157615*s[16])/198 - 
       (2462497*s[17])/44 - (617947*s[18])/81 - (441941*s[19])/81 - 
       (148162099*s[20])/1782 - (57239773*s[21])/1782 + 
       (18408325*s[22])/891 + (12170285*s[23])/396 + (158349955*s[24])/3564 - 
       (1618926245*s[25])/32076 + (974111777*s[26])/32076 + 48*s[29] - 
       24*s[30] + 100*s[31] - 19*s[32] + 72*s[33] - 100*s[34] - 36*s[35] + 
       70*s[36] + (206*s[37])/3 + 1040*s[38] - 3616*s[39] + 4190*s[40] - 
       3188*s[41] + 5060*s[42] + 3556*s[43] - 3283*s[44] + (13705*s[45])/3 - 
       (95023*s[46])/3 + (3538*s[47])/3 + (2803*s[48])/3 - (43543*s[49])/3 + 
       23803*s[50] + 3900*s[51] + (9551*s[52])/3 - (149243*s[53])/9 + 
       (7001*s[54])/3 - (321130*s[55])/3 - (262453*s[56])/9 + 
       (656314*s[57])/27 - (3949511*s[58])/81 + (3901424*s[59])/81 + 
       261327*s[60] - (10414304*s[61])/729 + 12*s[65] + 48*s[66] - 72*s[67] - 
       28*s[68] - 128*s[69] - 12*s[71] - 24*s[72] + 84*s[73] + 12*s[74] - 
       12*s[75] - 68*s[76] + 36*s[77] - 96*s[78] + 416*s[79] - 
       (182*s[80])/3 + 282*s[82] - 36*s[83] + 216*s[84] + 216*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      ((101*s[2])/2 + (2755*s[3])/24 + (2111*s[4])/24 + (380525*s[5])/528 + 
       (739357*s[6])/528 + (5494697*s[7])/528 - (341813*s[8])/2376 - 
       (241379*s[9])/27 - (250535*s[10])/54 - (33148129*s[11])/3168 - 
       (7441331*s[12])/792 - (16108627*s[13])/3168 - (17452753*s[14])/3168 - 
       (1214401*s[15])/72 - (62143597*s[16])/3168 - (63169489*s[17])/3168 - 
       (1227167*s[18])/648 - (1572001*s[19])/648 - (44207683*s[20])/1782 - 
       (283027573*s[21])/28512 + (151142663*s[22])/28512 + 
       (3565349*s[23])/3168 + (387621491*s[24])/28512 - 
       (2927449465*s[25])/256608 + (2059880749*s[26])/256608 + (34*s[29])/3 - 
       (15*s[30])/2 - 4*s[31] - (181*s[32])/12 - (1147*s[33])/24 + 
       (89*s[34])/2 + 50*s[35] + (299*s[36])/6 - (10547*s[37])/72 - 
       (161*s[38])/2 + (15013*s[39])/48 - (3661*s[40])/48 - (5051*s[41])/48 - 
       (5157*s[42])/8 + (417413*s[43])/528 - (83427*s[44])/176 + 
       (1453285*s[45])/792 - (14249183*s[46])/1584 - (1896019*s[47])/1584 + 
       (931523*s[48])/396 - (5245547*s[49])/1584 + (1020545*s[50])/132 - 
       (365417*s[51])/792 - (480109*s[52])/792 - (13683059*s[53])/2376 - 
       (196297*s[54])/198 - (31805267*s[55])/792 - (43549499*s[56])/4752 - 
       (275241475*s[57])/14256 - (278261521*s[58])/42768 + 
       (85478917*s[59])/10692 + (278800679*s[60])/3168 - 
       (3905536373*s[61])/769824 + (10*s[65])/3 + (40*s[66])/3 - 20*s[67] - 
       (73*s[68])/2 + (73*s[69])/6 - s[70]/2 - (25*s[71])/3 - 17*s[72] - 
       38*s[73] + (85*s[74])/4 - (85*s[75])/4 + (5*s[76])/3 - (57*s[77])/2 - 
       (39*s[78])/2 + (307*s[79])/3 - (3137*s[80])/36 + (2947*s[82])/2 + 
       12*s[84] + 258*s[85])*\[Zeta][2] + HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 1}, 1 - v]*((2821*s[2])/18 + (6733*s[3])/36 + 
       (62903*s[4])/18 + (2371885*s[5])/792 + (696053*s[6])/99 + 
       (448720007*s[7])/7128 - (207390541*s[8])/42768 - 
       (205867685*s[9])/3888 - (69647137*s[10])/3888 - 
       (1960103125*s[11])/28512 - (525568319*s[12])/7128 - 
       (1255117667*s[13])/28512 - (268824559*s[14])/28512 - 
       (55772263*s[15])/648 - (3077504807*s[16])/28512 - 
       (91498043*s[17])/1056 - (127883443*s[18])/11664 - 
       (31654955*s[19])/2916 - (16205426627*s[20])/128304 - 
       (11862535981*s[21])/256608 + (8434115687*s[22])/256608 + 
       (1865008333*s[23])/28512 + (18159756449*s[24])/256608 - 
       (100049023373*s[25])/1154736 + (13915534427*s[26])/288684 - 
       (8*s[29])/3 - (7*s[30])/2 + (223*s[31])/9 - (893*s[32])/36 - 
       (725*s[33])/24 - (421*s[34])/9 - (155*s[35])/3 - (1031*s[36])/6 + 
       (11123*s[37])/108 + (8199*s[38])/4 - (95411*s[39])/12 + 
       (317933*s[40])/36 - (504121*s[41])/72 + (176903*s[42])/16 + 
       (1046459*s[43])/132 - (4099813*s[44])/528 + (2801708*s[45])/297 - 
       (20739185*s[46])/297 + (8500829*s[47])/4752 + (12371465*s[48])/4752 - 
       (85795693*s[49])/2376 + (596819*s[50])/11 + (5783581*s[51])/792 + 
       (27010087*s[52])/4752 - (548343025*s[53])/14256 - 
       (3106639*s[54])/2376 - (1159342259*s[55])/4752 - 
       (217610339*s[56])/3564 + (843130237*s[57])/21384 - 
       (13077714517*s[58])/128304 + (850942135*s[59])/8019 + 
       (230686595*s[60])/396 - (70630231355*s[61])/2309472 - (2*s[65])/3 - 
       (8*s[66])/3 + 4*s[67] - (467*s[68])/18 + (135*s[69])/2 + 
       (115*s[70])/6 - (25*s[71])/4 + (53*s[72])/3 - (410*s[73])/3 - 
       (34*s[74])/3 + (34*s[75])/3 - (512*s[76])/9 - (373*s[77])/6 + 
       (641*s[78])/6 + (3482*s[79])/9 - (2519*s[80])/27 + (4373*s[82])/3 - 
       15*s[83] + 114*s[84] + (874*s[85])/3)*\[Zeta][2] + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*((2657*s[2])/9 - 
       (6989*s[3])/36 + (62903*s[4])/72 + (3377521*s[5])/792 + 
       (765521*s[6])/99 + (755447635*s[7])/14256 - (17385373*s[8])/10692 - 
       (91742779*s[9])/1944 - (30454613*s[10])/1944 - 
       (810951071*s[11])/14256 - (103917395*s[12])/1782 - 
       (494482525*s[13])/14256 - (282672461*s[14])/14256 - 
       (92774675*s[15])/1296 - (638532485*s[16])/7128 - 
       (122020465*s[17])/1584 - (79141961*s[18])/5832 - 
       (20758387*s[19])/5832 - (930175715*s[20])/8019 - 
       (6347448065*s[21])/128304 + (3605049685*s[22])/128304 + 
       (338255521*s[23])/7128 + (3516158933*s[24])/64152 - 
       (74921802431*s[25])/1154736 + (50709552989*s[26])/1154736 + 
       (136*s[29])/3 - 21*s[30] + (1378*s[31])/9 - (373*s[32])/18 - 
       (17*s[33])/12 - (1429*s[34])/9 + 138*s[35] + (472*s[36])/9 + 
       (24449*s[37])/108 + (4916*s[38])/3 - (17829*s[39])/4 + 
       (196873*s[40])/36 - (136859*s[41])/36 + (391001*s[42])/72 + 
       (2331499*s[43])/396 - (1850395*s[44])/396 + (23010547*s[45])/2376 - 
       (132140611*s[46])/2376 + (105641*s[47])/594 + (5189563*s[48])/1188 - 
       (51921449*s[49])/2376 + (7789391*s[50])/198 + (9010151*s[51])/2376 + 
       (1267514*s[52])/297 - (201752603*s[53])/7128 + (2423189*s[54])/594 - 
       (457973323*s[55])/2376 - (424160485*s[56])/7128 + 
       (683408827*s[57])/21384 - (5490279605*s[58])/64152 + 
       (673709272*s[59])/8019 + (3257958701*s[60])/7128 - 
       (33176187325*s[61])/1154736 + 15*s[65] + 56*s[66] - (262*s[67])/3 - 
       (463*s[68])/9 - (301*s[69])/3 - (23*s[70])/3 - (104*s[71])/3 - 
       (230*s[72])/3 - (404*s[73])/3 + (379*s[74])/6 - (379*s[75])/6 - 
       (2372*s[76])/9 + 3*s[77] + 115*s[78] + (7106*s[79])/9 - 
       (15337*s[80])/54 + (3890*s[82])/3 + (83*s[83])/2 + 87*s[84] + 
       (1276*s[85])/3)*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
      (-140*s[2] - 105*s[3] - (8793*s[4])/2 - (6625*s[5])/22 - 
       (19948*s[6])/11 - (5239379*s[7])/132 + (522757*s[8])/99 + 
       (569575*s[9])/18 + (164429*s[10])/18 + (6064145*s[11])/132 + 
       (3550601*s[12])/66 + (1446663*s[13])/44 - (1202659*s[14])/132 + 
       (626843*s[15])/12 + (745947*s[16])/11 + (5894677*s[17])/132 + 
       (65050*s[18])/27 + (324167*s[19])/27 + (20108810*s[20])/297 + 
       (21150575*s[21])/1188 - (24942529*s[22])/1188 - (1221791*s[23])/22 - 
       (14355337*s[24])/297 + (699211775*s[25])/10692 - 
       (293172131*s[26])/10692 + 56*s[29] - 20*s[30] + 12*s[31] + 52*s[32] - 
       122*s[33] + 136*s[34] + 190*s[35] + (1351*s[36])/3 - 255*s[37] - 
       2367*s[38] + (40129*s[39])/4 - (122719*s[40])/12 + (33075*s[41])/4 - 
       (176249*s[42])/12 - (921845*s[43])/132 + (2289079*s[44])/264 - 
       (42574*s[45])/11 + (6820811*s[46])/132 - (3462065*s[47])/792 + 
       (2142589*s[48])/792 + (30356915*s[49])/792 - (1433009*s[50])/33 - 
       (7511479*s[51])/792 - (5077405*s[52])/792 + (2852578*s[53])/99 + 
       (224891*s[54])/33 + (44099521*s[55])/264 + (23788097*s[56])/792 - 
       (39259139*s[57])/594 + (575894167*s[58])/7128 - 
       (626543917*s[59])/7128 - (2051904185*s[60])/4752 + 
       (963769651*s[61])/64152 + 8*s[63] + 18*s[65] + 76*s[66] - 108*s[67] - 
       36*s[68] - 224*s[69] + 28*s[70] - 44*s[71] - 108*s[72] + 182*s[73] + 
       113*s[74] - 113*s[75] - 16*s[76] + 6*s[77] - 182*s[78] - 20*s[79] - 
       244*s[80] + 8*s[82] + 3*s[83] - 66*s[84] + 472*s[85])*\[Zeta][2] + 
     HPL[{0, 1, 0, 1, 1}, 1 - u]*((2992*s[2])/3 + (44*s[3])/3 + 
       (27488*s[4])/3 + (1348753*s[5])/132 + (2905489*s[6])/132 + 
       (225573545*s[7])/1188 - (41143589*s[8])/3564 - (52502575*s[9])/324 - 
       (17933171*s[10])/324 - (246782773*s[11])/1188 - (65448881*s[12])/297 - 
       (157280225*s[13])/1188 - (42229075*s[14])/1188 - (14045267*s[15])/54 - 
       (96700301*s[16])/297 - (17541767*s[17])/66 - (33413147*s[18])/972 - 
       (15479243*s[19])/486 - (2063402411*s[20])/5346 - 
       (784346303*s[21])/5346 + (1066347515*s[22])/10692 + 
       (219511207*s[23])/1188 + (2278645817*s[24])/10692 - 
       (49385672921*s[25])/192456 + (28457716277*s[26])/192456 + 8*s[29] - 
       4*s[30] + (1004*s[31])/3 - (460*s[32])/3 + 114*s[33] - 
       (1538*s[34])/3 + 180*s[35] - (1772*s[36])/3 + (6047*s[37])/18 + 
       6804*s[38] - 22708*s[39] + 25564*s[40] - (59698*s[41])/3 + 
       (89617*s[42])/3 + (76574*s[43])/3 - (69710*s[44])/3 + 
       (1052483*s[45])/36 - (7475429*s[46])/36 + (8731*s[47])/4 + 
       (51435*s[48])/4 - (1348675*s[49])/12 + (476666*s[50])/3 + 
       (666095*s[51])/36 + (47908*s[52])/3 - (12076297*s[53])/108 - 
       (58604*s[54])/9 - (25948337*s[55])/36 - (19562651*s[56])/108 + 
       (8505503*s[57])/81 - (73010878*s[58])/243 + (306152659*s[59])/972 + 
       (94787683*s[60])/54 - (1565560661*s[61])/17496 + 14*s[65] + 56*s[66] - 
       84*s[67] - (524*s[68])/3 + 204*s[69] + 26*s[70] - 50*s[71] - 
       96*s[72] - 816*s[73] + 74*s[74] - 74*s[75] - (2014*s[76])/3 - 
       244*s[77] + 634*s[78] + (4576*s[79])/3 - (2527*s[80])/9 + 5100*s[82] + 
       75*s[83] + 186*s[84] + 504*s[85])*\[Zeta][2] + 
     HPL[{0, 1, 0, 1, 1}, 1 - v]*((3677*s[2])/6 - (1603*s[3])/12 + 
       (149809*s[4])/24 + (88679*s[5])/12 + (362227*s[6])/24 + 
       (57014209*s[7])/432 - (4874273*s[8])/648 - (36690097*s[9])/324 - 
       (3151115*s[10])/81 - (62458535*s[11])/432 - (16520119*s[12])/108 - 
       (39740881*s[13])/432 - (11132675*s[14])/432 - (78401665*s[15])/432 - 
       (6114148*s[16])/27 - (26689991*s[17])/144 - (23356349*s[18])/972 - 
       (43319669*s[19])/1944 - (523839079*s[20])/1944 - 
       (400533785*s[21])/3888 + (270501817*s[22])/3888 + 
       (13690433*s[23])/108 + (72303695*s[24])/486 - (1555767131*s[25])/
        8748 + (902292683*s[26])/8748 + 56*s[29] - 36*s[30] + (806*s[31])/3 - 
       (169*s[32])/3 - (3*s[33])/4 - (1046*s[34])/3 + 181*s[35] - 
       (1214*s[36])/3 + (3643*s[37])/9 + 5082*s[38] - (56781*s[39])/4 + 
       (64589*s[40])/4 - (148471*s[41])/12 + (208645*s[42])/12 + 
       (2348785*s[43])/132 - (988391*s[44])/66 + (2279890*s[45])/99 - 
       (58604533*s[46])/396 - (37061*s[47])/66 + (1524101*s[48])/132 - 
       (5036597*s[49])/66 + (7459583*s[50])/66 + (4234897*s[51])/396 + 
       (429977*s[52])/44 - (23745614*s[53])/297 - (1226051*s[54])/198 - 
       (209045017*s[55])/396 - (79917701*s[56])/594 + 
       (177436921*s[57])/3564 - (1123913641*s[58])/5346 + 
       (2367921365*s[59])/10692 + (377271985*s[60])/297 - 
       (12691266385*s[61])/192456 + 4*s[63] + 25*s[65] + 126*s[66] - 
       150*s[67] - (452*s[68])/3 - 22*s[69] + 66*s[70] - 49*s[71] - 
       166*s[72] - 842*s[73] + (261*s[74])/2 - (261*s[75])/2 - 
       (1720*s[76])/3 - 221*s[77] + 346*s[78] + (3760*s[79])/3 - 
       (1468*s[80])/9 + 5100*s[82] + 75*s[83] + 186*s[84] + 504*s[85])*
      \[Zeta][2] + Qep[v, w, u]*(-1088*s[2] + (3536*s[3])/3 + 
       (12152*s[4])/3 - (139352*s[5])/33 - (10544*s[6])/33 - 
       (1682708*s[7])/99 - (1783544*s[8])/297 + (541424*s[9])/27 + 
       (434176*s[10])/27 + (1386608*s[11])/99 - (33104*s[12])/99 - 
       (35392*s[13])/33 + (2553440*s[14])/99 + 45492*s[15] + 
       (1370948*s[16])/33 + (6204328*s[17])/99 - (39824*s[18])/81 + 
       (853112*s[19])/81 + (53445176*s[20])/891 + (26879912*s[21])/891 - 
       (9491824*s[22])/891 + (700060*s[23])/11 - (32330500*s[24])/891 + 
       (30893132*s[25])/8019 - (101922428*s[26])/8019 - (512*s[29])/3 + 
       128*s[30] - 384*s[31] + (512*s[32])/3 - (1280*s[33])/3 + 704*s[34] + 
       512*s[36] + (176*s[37])/9 + (1120*s[38])/3 - 5824*s[39] + 
       (19264*s[40])/3 - 4272*s[41] + (32240*s[42])/3 + (128*s[43])/3 - 
       (8824*s[44])/3 - (18392*s[45])/9 - (71224*s[46])/9 + (72520*s[47])/9 - 
       (69848*s[48])/9 + (15944*s[49])/9 - (6208*s[50])/3 + (80888*s[51])/9 + 
       (74648*s[52])/9 + (74368*s[53])/27 + (193904*s[54])/9 + 
       (285824*s[55])/9 - (479368*s[56])/27 + (11698744*s[57])/81 - 
       (12615344*s[58])/243 + (8394704*s[59])/243 - 44512*s[60] - 
       (17287976*s[61])/2187 - (128*s[65])/3 - (512*s[66])/3 + 256*s[67] + 
       256*s[68] + (512*s[69])/3 + (32*s[71])/3 + 256*s[72] + 256*s[73] - 
       160*s[74] + 160*s[75] + (1280*s[76])/3 + (1408*s[79])/3 - 
       (8864*s[80])/9 - 4608*s[82] + 512*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*((104*s[2])/3 - (1394*s[3])/3 - 
       (13811*s[4])/3 + (56113*s[5])/66 - (51125*s[6])/66 - 
       (34679927*s[7])/1188 + (4685651*s[8])/891 + (1762852*s[9])/81 + 
       (456611*s[10])/81 + (41456263*s[11])/1188 + (25654213*s[12])/594 + 
       (31661279*s[13])/1188 - (16223501*s[14])/1188 + (3990403*s[15])/108 + 
       (14782997*s[16])/297 + (11075077*s[17])/396 + (11401*s[18])/486 + 
       (5367083*s[19])/486 + (116962282*s[20])/2673 + 
       (75352903*s[21])/10692 - (162047267*s[22])/10692 - 
       (14763037*s[23])/297 - (196312033*s[24])/5346 + 
       (5160619237*s[25])/96228 - (1819747327*s[26])/96228 + 88*s[29] - 
       32*s[30] + (280*s[31])/3 + (100*s[32])/3 - 80*s[33] + (68*s[34])/3 + 
       180*s[35] + (1334*s[36])/3 - (1387*s[37])/9 - 1756*s[38] + 
       (16349*s[39])/2 - (16697*s[40])/2 + (40811*s[41])/6 - 
       (72839*s[42])/6 - (378857*s[43])/66 + (962803*s[44])/132 - 
       (434627*s[45])/198 + (3845617*s[46])/99 - (447451*s[47])/132 + 
       (280463*s[48])/132 + (1418091*s[49])/44 - (1104406*s[50])/33 - 
       (3010627*s[51])/396 - (645739*s[52])/132 + (6530753*s[53])/297 + 
       (674332*s[54])/99 + (48869959*s[55])/396 + (21946495*s[56])/1188 - 
       (44940208*s[57])/891 + (636246383*s[58])/10692 - 
       (710580083*s[59])/10692 - (779340095*s[60])/2376 + 
       (231327758*s[61])/24057 + 20*s[65] + 80*s[66] - 120*s[67] - 
       (28*s[68])/3 - 264*s[69] - 4*s[70] - 44*s[71] - 96*s[72] + 112*s[73] + 
       96*s[74] - 96*s[75] - (272*s[76])/3 + 72*s[77] - 124*s[78] + 
       (608*s[79])/3 - (1994*s[80])/9 + 656*s[82] - 3*s[83] + 42*s[84] + 
       664*s[85])*\[Zeta][2] + HPL[{0, 1, 0, 1, 1}, 1 - w]*
      ((6335*s[2])/6 - (4525*s[3])/12 + (160165*s[4])/24 + (70843*s[5])/6 + 
       (541753*s[6])/24 + (79930171*s[7])/432 - (5802035*s[8])/648 - 
       (51838009*s[9])/324 - (18428825*s[10])/324 - (86550893*s[11])/432 - 
       (11190155*s[12])/54 - (53491879*s[13])/432 - (20350265*s[14])/432 - 
       (111784363*s[15])/432 - (8642974*s[16])/27 - (39180277*s[17])/144 - 
       (34236599*s[18])/972 - (57337391*s[19])/1944 - 
       (752681353*s[20])/1944 - (596148215*s[21])/3888 + 
       (378987379*s[22])/3888 + (17141819*s[23])/108 + 
       (101667587*s[24])/486 - (1051743007*s[25])/4374 + 
       (319683632*s[26])/2187 + 110*s[29] - 47*s[30] + (1016*s[31])/3 - 
       (511*s[32])/3 - 137*s[33] - (1385*s[34])/3 + 195*s[35] - 
       (1508*s[36])/3 + (4198*s[37])/9 + 6054*s[38] - (73555*s[39])/4 + 
       (84483*s[40])/4 - (194497*s[41])/12 + (278047*s[42])/12 + 
       (3031879*s[43])/132 - (2587411*s[44])/132 + (5868689*s[45])/198 - 
       (76394425*s[46])/396 - (18339*s[47])/44 + (161826*s[48])/11 - 
       (12954605*s[49])/132 + (9683183*s[50])/66 + (2784581*s[51])/198 + 
       (423704*s[52])/33 - (31018958*s[53])/297 - (1229627*s[54])/198 - 
       (135765587*s[55])/198 - (210029695*s[56])/1188 + 
       (245720665*s[57])/3564 - (2937247391*s[58])/10692 + 
       (1541148463*s[59])/5346 + (3901540997*s[60])/2376 - 
       (16736098465*s[61])/192456 + 25*s[65] + 126*s[66] - 150*s[67] - 
       (806*s[68])/3 + 84*s[69] + 38*s[70] - 61*s[71] - 190*s[72] - 
       794*s[73] + (321*s[74])/2 - (321*s[75])/2 - (2128*s[76])/3 - 
       245*s[77] + 478*s[78] + (4384*s[79])/3 - (2500*s[80])/9 + 6516*s[82] + 
       75*s[83] + 186*s[84] + 744*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*(-48*s[2] + 42*s[3] - 
       2097*s[4] + (26865*s[5])/11 + (42437*s[6])/11 + (81404*s[7])/11 + 
       (170140*s[8])/99 - (80053*s[9])/9 - (19784*s[10])/9 - 
       (183793*s[11])/33 - (165361*s[12])/66 - (65147*s[13])/66 - 
       (1154267*s[14])/66 - (26033*s[15])/3 - (618413*s[16])/66 - 
       (463192*s[17])/33 - (220160*s[18])/27 + (214538*s[19])/27 - 
       (8231380*s[20])/297 - (11140289*s[21])/594 + (2254633*s[22])/594 + 
       (47198*s[23])/33 + (52715*s[24])/297 + (6449929*s[25])/5346 + 
       (52968827*s[26])/5346 + 96*s[29] + 48*s[31] + 42*s[32] - 81*s[33] + 
       108*s[34] + 180*s[35] + 546*s[36] + 64*s[37] - 397*s[38] + 
       2089*s[39] - 1438*s[40] + (3211*s[41])/2 - (5863*s[42])/2 - 
       (12768*s[43])/11 + (23863*s[44])/11 + (29371*s[45])/11 - 
       (23344*s[46])/11 - (24529*s[47])/132 + (153407*s[48])/132 + 
       (1729747*s[49])/132 - (44104*s[50])/11 - (83519*s[51])/132 + 
       (33241*s[52])/33 + (116627*s[53])/66 + (301529*s[54])/22 - 
       (388009*s[55])/132 - (2596139*s[56])/132 + (2309347*s[57])/198 - 
       (14281873*s[58])/1188 + (2166829*s[59])/1188 - (10373929*s[60])/792 - 
       (47040911*s[61])/5346 + 24*s[65] + 96*s[66] - 144*s[67] - 6*s[68] - 
       330*s[69] - 48*s[70] - 48*s[71] - 72*s[72] + 264*s[73] + 72*s[74] - 
       72*s[75] - 72*s[76] + 114*s[77] - 228*s[78] + 696*s[79] - 424*s[80] - 
       630*s[82] - 36*s[83] + 216*s[84] + 792*s[85])*\[Zeta][2] + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*(-146*s[2] + (127*s[3])/2 - 
       (8969*s[4])/4 + (60441*s[5])/22 + (193137*s[6])/44 + 
       (6761365*s[7])/792 + (2070781*s[8])/1188 - (264868*s[9])/27 - 
       (178087*s[10])/54 - (5102699*s[11])/792 - (1015253*s[12])/396 - 
       (577207*s[13])/792 - (15896981*s[14])/792 - (839195*s[15])/72 - 
       (5005787*s[16])/396 - (5093855*s[17])/264 - (1372861*s[18])/162 + 
       (2426207*s[19])/324 - (114457363*s[20])/3564 - 
       (153976907*s[21])/7128 + (30049183*s[22])/7128 - (56765*s[23])/99 + 
       (2257832*s[24])/891 + (10608827*s[25])/8019 + (182659391*s[26])/
        16038 + 80*s[29] - 24*s[30] - 36*s[31] + 56*s[32] - 244*s[33] + 
       286*s[34] + 198*s[35] + 594*s[36] - (110*s[37])/3 - 575*s[38] + 
       (4985*s[39])/2 - (3413*s[40])/2 + (3663*s[41])/2 - (6895*s[42])/2 - 
       (24775*s[43])/22 + (99267*s[44])/44 + (83494*s[45])/33 - 
       (43565*s[46])/66 - (69581*s[47])/132 + (240553*s[48])/132 + 
       (1760315*s[49])/132 - (57808*s[50])/11 - (166003*s[51])/132 + 
       (62339*s[52])/132 + (489377*s[53])/198 + (425639*s[54])/33 + 
       (24091*s[55])/44 - (7647745*s[56])/396 + (2428726*s[57])/297 - 
       (32878949*s[58])/3564 - (1220485*s[59])/3564 - (6060055*s[60])/264 - 
       (275084927*s[61])/32076 + 24*s[65] + 96*s[66] - 144*s[67] - 8*s[68] - 
       320*s[69] - 12*s[70] - 48*s[71] - 72*s[72] + 264*s[73] + 81*s[74] - 
       81*s[75] + 64*s[76] + 76*s[77] - 284*s[78] + 736*s[79] - 
       (1954*s[80])/3 - 414*s[82] - 36*s[83] + 216*s[84] + 840*s[85])*
      \[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*
      ((1162*s[2])/3 - (589*s[3])/3 + (1759*s[4])/6 + (415445*s[5])/66 + 
       (342403*s[6])/33 + (41504581*s[7])/594 - (2028475*s[8])/1782 - 
       (5063065*s[9])/81 - (1886960*s[10])/81 - (43513235*s[11])/594 - 
       (21137717*s[12])/297 - (24743431*s[13])/594 - (18847625*s[14])/594 - 
       (2721658*s[15])/27 - (72195733*s[16])/594 - (11165075*s[17])/99 - 
       (4238879*s[18])/243 - (3083681*s[19])/486 - (423429106*s[20])/2673 - 
       (370347287*s[21])/5346 + (196833643*s[22])/5346 + 
       (27524693*s[23])/594 + (403955851*s[24])/5346 - 
       (7735330807*s[25])/96228 + (5581138489*s[26])/96228 + 96*s[29] - 
       36*s[30] + (488*s[31])/3 - (112*s[32])/3 - 87*s[33] - (560*s[34])/3 + 
       164*s[35] + (76*s[36])/3 + (1051*s[37])/9 + 1682*s[38] - 3764*s[39] + 
       4864*s[40] - (10648*s[41])/3 + (11392*s[42])/3 + (239302*s[43])/33 - 
       (626983*s[44])/132 + (2686601*s[45])/198 - (14268671*s[46])/198 - 
       (83605*s[47])/44 + (341787*s[48])/44 - (3486383*s[49])/132 + 
       (1741162*s[50])/33 + (894571*s[51])/396 + (420821*s[52])/132 - 
       (23388193*s[53])/594 + (181103*s[54])/99 - (107027299*s[55])/396 - 
       (92460457*s[56])/1188 - (4798771*s[57])/1782 - 
       (1059040727*s[58])/10692 + (1084039271*s[59])/10692 + 
       (1451794877*s[60])/2376 - (1853320465*s[61])/48114 + 24*s[65] + 
       96*s[66] - 144*s[67] - (308*s[68])/3 - 144*s[69] + 4*s[70] - 
       54*s[71] - 120*s[72] - 216*s[73] + 120*s[74] - 120*s[75] - 
       (880*s[76])/3 - 56*s[77] + 108*s[78] + (1792*s[79])/3 - 
       (1702*s[80])/9 + 3456*s[82] - 3*s[83] + 42*s[84] + 888*s[85])*
      \[Zeta][2] + Qep[u, v, w]*((-6464*s[2])/9 + (9920*s[3])/9 + 
       (59216*s[4])/9 + (246304*s[5])/99 + (813328*s[6])/99 + 
       (59773640*s[7])/891 - (31305848*s[8])/2673 - (13175944*s[9])/243 - 
       (1239608*s[10])/243 - (69645316*s[11])/891 - (88231448*s[12])/891 - 
       (53151188*s[13])/891 + (8683724*s[14])/891 - (5461960*s[15])/81 - 
       (89611484*s[16])/891 - (14713340*s[17])/297 - (14052056*s[18])/729 + 
       (2053088*s[19])/729 - (931129384*s[20])/8019 - 
       (331752364*s[21])/8019 + (278642996*s[22])/8019 + 
       (143661916*s[23])/891 + (406471052*s[24])/8019 - 
       (7783223368*s[25])/72171 + (3981351136*s[26])/72171 - (512*s[29])/3 + 
       64*s[30] - (2176*s[31])/9 + (1376*s[32])/9 - (464*s[33])/3 + 
       (2176*s[34])/9 - (640*s[35])/3 - 448*s[36] + (39040*s[37])/27 + 
       (11552*s[38])/3 - (49376*s[39])/3 + (154144*s[40])/9 - 
       (99952*s[41])/9 + (74920*s[42])/3 + (273376*s[43])/33 - 
       (361352*s[44])/33 + (3830608*s[45])/297 - (28754992*s[46])/297 + 
       (4031512*s[47])/297 - (3367880*s[48])/297 - (10183264*s[49])/297 + 
       (688192*s[50])/11 + (1790816*s[51])/99 + (5198552*s[52])/297 - 
       (39722840*s[53])/891 + (6071696*s[54])/297 - (83092840*s[55])/297 - 
       (93902896*s[56])/891 + (654232720*s[57])/2673 - 
       (1643071400*s[58])/8019 + (1503984464*s[59])/8019 + 
       (65788672*s[60])/99 - (3614992004*s[61])/72171 - (128*s[65])/3 - 
       (512*s[66])/3 + 256*s[67] + (3136*s[68])/9 + (64*s[69])/3 + 
       (64*s[70])/3 + (160*s[71])/3 + (640*s[72])/3 + (1280*s[73])/3 - 
       (512*s[74])/3 + (512*s[75])/3 + (2048*s[76])/9 + (320*s[77])/3 + 
       (704*s[78])/3 - (512*s[79])/9 - (2368*s[80])/27 - (6272*s[82])/3 + 
       (2816*s[85])/3)*\[Zeta][2] + HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
      ((637*s[2])/2 + (2151*s[3])/4 + (70983*s[4])/8 + (101938*s[5])/11 + 
       (1655589*s[6])/88 + (95840303*s[7])/528 - (30712735*s[8])/2376 - 
       (8336501*s[9])/54 - (5845079*s[10])/108 - (311180059*s[11])/1584 - 
       (41235049*s[12])/198 - (195461977*s[13])/1584 - 
       (50376523*s[14])/1584 - (36304091*s[15])/144 - (123691741*s[16])/396 - 
       (402854725*s[17])/1584 - (5149963*s[18])/162 - (20466647*s[19])/648 - 
       (2656265603*s[20])/7128 - (1958860501*s[21])/14256 + 
       (1358972825*s[22])/14256 + (34295563*s[23])/198 + 
       (741034163*s[24])/3564 - (15717211139*s[25])/64152 + 
       (8884172711*s[26])/64152 + 48*s[29] - 84*s[30] + 66*s[31] + 51*s[32] - 
       (65*s[33])/4 - 14*s[34] - 219*s[35] - (815*s[36])/3 + 292*s[37] + 
       5437*s[38] - 20592*s[39] + (69287*s[40])/3 - (37255*s[41])/2 + 
       (85876*s[42])/3 + (688300*s[43])/33 - (5375303*s[44])/264 + 
       (292772*s[45])/11 - (6314020*s[46])/33 + (3398305*s[47])/792 + 
       (5703289*s[48])/792 - (75836491*s[49])/792 + (9994313*s[50])/66 + 
       (15312113*s[51])/792 + (11672735*s[52])/792 - (42167597*s[53])/396 - 
       (193582*s[54])/33 - (180131299*s[55])/264 - (132607681*s[56])/792 + 
       (100243217*s[57])/1188 - (1953971303*s[58])/7128 + 
       (2032210643*s[59])/7128 + (7705451533*s[60])/4752 - 
       (2706600139*s[61])/32076 + 15*s[65] + 50*s[66] - 90*s[67] - 42*s[68] - 
       116*s[69] + 120*s[70] - 12*s[71] + 6*s[72] + 186*s[73] - 
       (33*s[74])/2 + (33*s[75])/2 - 20*s[76] - 49*s[77] - 126*s[78] + 
       1316*s[79] - 162*s[80] + 5994*s[82] - 117*s[83] + 810*s[84] + 
       1512*s[85])*\[Zeta][2] + HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
      (68*s[2] + (1023*s[3])/2 + (24859*s[4])/4 + (115636*s[5])/11 + 
       (883291*s[6])/44 + (134263667*s[7])/792 - (12470311*s[8])/1188 - 
       (3950648*s[9])/27 - (2684819*s[10])/54 - (144240685*s[11])/792 - 
       (75769645*s[12])/396 - (89373485*s[13])/792 - (33666895*s[14])/792 - 
       (16742929*s[15])/72 - (114380947*s[16])/396 - (62996885*s[17])/264 - 
       (2904118*s[18])/81 - (6799079*s[19])/324 - (1277923805*s[20])/3564 - 
       (995826961*s[21])/7128 + (635734013*s[22])/7128 + 
       (16064267*s[23])/99 + (165373066*s[24])/891 - (7066946915*s[25])/
        32076 + (4279200335*s[26])/32076 + 96*s[29] - 84*s[30] + 16*s[31] + 
       72*s[32] - 152*s[33] + 86*s[34] - 192*s[35] - 64*s[36] + 
       (1250*s[37])/3 + 4811*s[38] - 17278*s[39] + 19978*s[40] - 
       15350*s[41] + 23985*s[42] + (194134*s[43])/11 - (365459*s[44])/22 + 
       (902897*s[45])/33 - (5894747*s[46])/33 + (146614*s[47])/33 + 
       (224494*s[48])/33 - (2490781*s[49])/33 + (1497497*s[50])/11 + 
       (570341*s[51])/33 + (982351*s[52])/66 - (9528658*s[53])/99 + 
       (165871*s[54])/33 - (6942255*s[55])/11 - (17196008*s[56])/99 + 
       (30297530*s[57])/297 - (240246607*s[58])/891 + (240013435*s[59])/891 + 
       (146588317*s[60])/99 - (1396139357*s[61])/16038 + 24*s[65] + 
       96*s[66] - 144*s[67] + 8*s[68] - 348*s[69] + 120*s[70] - 48*s[71] - 
       24*s[72] + 348*s[73] + 18*s[74] - 18*s[75] + 84*s[76] + 16*s[77] - 
       324*s[78] + 1484*s[79] - (1016*s[80])/3 + 5298*s[82] - 117*s[83] + 
       810*s[84] + 2136*s[85])*\[Zeta][2] + HPL[{0, 0, 1, 1, 1}, 1 - u]*
      (3254*s[2] + 284*s[3] + 33142*s[4] + (433947*s[5])/11 + 
       (1795433*s[6])/22 + (71113897*s[7])/99 - (25596545*s[8])/594 - 
       (33168409*s[9])/54 - (5768965*s[10])/27 - (309921299*s[11])/396 - 
       (326999443*s[12])/396 - (97738307*s[13])/198 - (14104403*s[14])/99 - 
       (8930840*s[15])/9 - (244775915*s[16])/198 - (134335427*s[17])/132 - 
       (21088733*s[18])/162 - (19674577*s[19])/162 - (2626118653*s[20])/
        1782 - (499579577*s[21])/891 + (336529111*s[22])/891 + 
       (267740663*s[23])/396 + (2893302409*s[24])/3564 - 
       (30885556373*s[25])/32076 + (17904420683*s[26])/32076 + 96*s[29] - 
       108*s[30] + 1048*s[31] - 472*s[32] + 268*s[33] - 1588*s[34] + 
       354*s[35] - 2168*s[36] + (3533*s[37])/3 + 24508*s[38] - 81968*s[39] + 
       92572*s[40] - 72662*s[41] + 108014*s[42] + (1019728*s[43])/11 - 
       (1859567*s[44])/22 + (7344481*s[45])/66 - (51346231*s[46])/66 + 
       (473353*s[47])/66 + (3171433*s[48])/66 - (27132559*s[49])/66 + 
       (6609505*s[50])/11 + (1491055*s[51])/22 + (3777275*s[52])/66 - 
       (83744147*s[53])/198 - (962366*s[54])/33 - (180402569*s[55])/66 - 
       (135161377*s[56])/198 + (101744708*s[57])/297 - 
       (993033532*s[58])/891 + (2082459845*s[59])/1782 + 
       (218028619*s[60])/33 - (10888818121*s[61])/32076 + 60*s[65] + 
       240*s[66] - 360*s[67] - 640*s[68] + 528*s[69] + 132*s[70] - 
       180*s[71] - 336*s[72] - 2496*s[73] + 252*s[74] - 252*s[75] - 
       2008*s[76] - 712*s[77] + 1740*s[78] + 5528*s[79] - (2378*s[80])/3 + 
       22176*s[82] + 144*s[83] + 1152*s[84] + 3024*s[85])*\[Zeta][2] + 
     HPL[{0, 0, 1, 1, 1}, 1 - v]*(2191*s[2] - (397*s[3])/2 + (94855*s[4])/4 + 
       (658763*s[5])/22 + (2604037*s[6])/44 + (419555501*s[7])/792 - 
       (35587703*s[8])/1188 - (12283909*s[9])/27 - (4338956*s[10])/27 - 
       (456608393*s[11])/792 - (239736023*s[12])/396 - (95470967*s[13])/264 - 
       (87067787*s[14])/792 - (5893687*s[15])/8 - (30146228*s[16])/33 - 
       (599388523*s[17])/792 - (7783703*s[18])/81 - (29502217*s[19])/324 - 
       (3894523141*s[20])/3564 - (2976173657*s[21])/7128 + 
       (1989900865*s[22])/7128 + (64173911*s[23])/132 + 
       (2147893685*s[24])/3564 - (22651586407*s[25])/32076 + 
       (13217214961*s[26])/32076 + 240*s[29] - 204*s[30] + 916*s[31] - 
       134*s[32] + (19*s[33])/2 - 1100*s[34] + 438*s[35] - (4180*s[36])/3 + 
       (3701*s[37])/3 + 18738*s[38] - (108555*s[39])/2 + (371585*s[40])/6 - 
       (96825*s[41])/2 + (404449*s[42])/6 + (4484071*s[43])/66 - 
       (3819265*s[44])/66 + (5957383*s[45])/66 - (19205827*s[46])/33 - 
       (398191*s[47])/198 + (4373038*s[48])/99 - (58429343*s[49])/198 + 
       (14859293*s[50])/33 + (4171064*s[51])/99 + (3641015*s[52])/99 - 
       (63066529*s[53])/198 - (920122*s[54])/33 - (23076111*s[55])/11 - 
       (34772077*s[56])/66 + (10198829*s[57])/66 - (241802183*s[58])/297 + 
       (255036344*s[59])/297 + (1489561763*s[60])/297 - 
       (697278850*s[61])/2673 + 96*s[65] + 424*s[66] - 576*s[67] - 
       568*s[68] - 136*s[69] + 240*s[70] - 180*s[71] - 564*s[72] - 
       2460*s[73] + 441*s[74] - 441*s[75] - 1836*s[76] - 626*s[77] + 
       1008*s[78] + 4728*s[79] - (1538*s[80])/3 + 22176*s[82] + 144*s[83] + 
       1152*s[84] + 3024*s[85])*\[Zeta][2] + HPL[{0, 0, 1, 1, 1}, 1 - w]*
      (3517*s[2] - (2249*s[3])/2 + (99833*s[4])/4 + 44049*s[5] + 
       (332513*s[6])/4 + (50140931*s[7])/72 - (3697031*s[8])/108 - 
       (32522581*s[9])/54 - (11679893*s[10])/54 - (54163061*s[11])/72 - 
       (13985671*s[12])/18 - (3699539*s[13])/8 - (12855389*s[14])/72 - 
       (23483081*s[15])/24 - (7242755*s[16])/6 - (73998895*s[17])/72 - 
       (21244415*s[18])/162 - (36689987*s[19])/324 - (474371725*s[20])/324 - 
       (373241339*s[21])/648 + (237839815*s[22])/648 + (1165205*s[23])/2 + 
       (64211636*s[24])/81 - (658515247*s[25])/729 + (399272812*s[26])/729 + 
       408*s[29] - 198*s[30] + 1072*s[31] - 482*s[32] - 513*s[33] - 
       1438*s[34] + 450*s[35] - (5188*s[36])/3 + (4406*s[37])/3 + 
       22050*s[38] - (136395*s[39])/2 + (469625*s[40])/6 - (121797*s[41])/2 + 
       (519325*s[42])/6 + (5585167*s[43])/66 - (4809967*s[44])/66 + 
       (3676067*s[45])/33 - (47935631*s[46])/66 - (217201*s[47])/198 + 
       (5323645*s[48])/99 - (72403445*s[49])/198 + (18420638*s[50])/33 + 
       (5286335*s[51])/99 + (4661570*s[52])/99 - (39281096*s[53])/99 - 
       (917404*s[54])/33 - (28619809*s[55])/11 - (14564483*s[56])/22 + 
       (44146019*s[57])/198 - (607851473*s[58])/594 + (319211965*s[59])/297 + 
       (7373895779*s[60])/1188 - (1169583563*s[61])/3564 + 96*s[65] + 
       424*s[66] - 576*s[67] - 868*s[68] + 132*s[69] + 324*s[70] - 
       216*s[71] - 636*s[72] - 2316*s[73] + 531*s[74] - 531*s[75] - 
       2244*s[76] - 902*s[77] + 1404*s[78] + 5328*s[79] - (2540*s[80])/3 + 
       26424*s[82] + 144*s[83] + 1152*s[84] + 3744*s[85])*\[Zeta][2] + 
     HPL[{0, 0, 1}, 1 - u]*((4488*s[2])/5 - (4531*s[3])/20 + 
       (181489*s[4])/40 + (2251167*s[5])/440 + (440255*s[6])/44 + 
       (258824713*s[7])/2640 - (10213519*s[8])/1980 - (29955577*s[9])/360 - 
       (11805449*s[10])/360 - (282333929*s[11])/2640 - (72517873*s[12])/660 - 
       (174171403*s[13])/2640 - (47072693*s[14])/2640 - (11397547*s[15])/80 - 
       (231039791*s[16])/1320 - (132257299*s[17])/880 - 
       (13742621*s[18])/1080 - (26346643*s[19])/1080 - 
       (2379295837*s[20])/11880 - (1753577189*s[21])/23760 + 
       (1228556299*s[22])/23760 + (46465097*s[23])/660 + 
       (720776653*s[24])/5940 - (28270595657*s[25])/213840 + 
       (15783233321*s[26])/213840 - (4*s[27])/5 + (8*s[28])/5 + 
       (148*s[29])/5 - (312*s[30])/5 + (1092*s[31])/5 - (869*s[32])/5 + 
       (316*s[33])/5 - 420*s[34] - (221*s[35])/5 - (3211*s[36])/5 + 
       (10661*s[37])/60 + (15201*s[38])/5 - (202447*s[39])/20 + 
       (227091*s[40])/20 - (37623*s[41])/4 + (249339*s[42])/20 + 
       (3134953*s[43])/220 - (5344039*s[44])/440 + (4048991*s[45])/264 - 
       (142925551*s[46])/1320 - (454562*s[47])/165 + (7037401*s[48])/660 - 
       (21944627*s[49])/330 + (9742873*s[50])/110 + (3818033*s[51])/660 + 
       (5223517*s[52])/1320 - (251333867*s[53])/3960 - (2712581*s[54])/165 - 
       (26638201*s[55])/66 - (165152639*s[56])/1980 - (26731159*s[57])/1485 - 
       (4707375809*s[58])/35640 + (541500863*s[59])/3564 + 
       (7688748889*s[60])/7920 - (27182368051*s[61])/641520 - (12*s[64])/5 + 
       (39*s[65])/5 + 44*s[66] - 66*s[67] - (1116*s[68])/5 + (1476*s[69])/5 + 
       31*s[70] + (19*s[71])/5 - (568*s[72])/5 - (3672*s[73])/5 + 
       (512*s[74])/5 - (536*s[75])/5 - 437*s[76] - (1131*s[77])/5 + 
       (2137*s[78])/5 + (1022*s[79])/5 + (5351*s[80])/30 + (26094*s[82])/5 + 
       (84*s[83])/5 - (216*s[84])/5 - (1236*s[85])/5)*\[Zeta][2]^2 + 
     HPL[{0, 0, 1}, 1 - v]*((-16*s[1])/5 + 915*s[2] - (13337*s[3])/20 + 
       (213091*s[4])/40 + (3213721*s[5])/440 + (2847527*s[6])/220 + 
       (1001487937*s[7])/7920 - (2673731*s[8])/396 - (39171667*s[9])/360 - 
       (14279579*s[10])/360 - (121602973*s[11])/880 - (47422667*s[12])/330 - 
       (683303723*s[13])/7920 - (20834221*s[14])/880 - (25828373*s[15])/144 - 
       (877987087*s[16])/3960 - (295156793*s[17])/1584 - 
       (6978073*s[18])/360 - (9455719*s[19])/360 - (1026206333*s[20])/3960 - 
       (2331695431*s[21])/23760 + (1597580641*s[22])/23760 + 
       (51008446*s[23])/495 + (443980079*s[24])/2970 - 
       (36298753231*s[25])/213840 + (20731626247*s[26])/213840 + 
       (12*s[28])/5 + (164*s[29])/5 - (356*s[30])/5 + (1508*s[31])/5 - 
       (777*s[32])/5 + (1177*s[33])/10 - 612*s[34] - 59*s[35] - 
       (11593*s[36])/15 + (5561*s[37])/12 + (21673*s[38])/5 - 
       (57561*s[39])/4 + (936451*s[40])/60 - (249817*s[41])/20 + 
       (1111991*s[42])/60 + (10990289*s[43])/660 - (19839877*s[44])/1320 + 
       (4947823*s[45])/264 - (11803613*s[46])/88 + (39793*s[47])/495 + 
       (16841629*s[48])/1980 - (77133983*s[49])/990 + (35290477*s[50])/330 + 
       (20288177*s[51])/1980 + (31619803*s[52])/3960 - 
       (100423669*s[53])/1320 - (814232*s[54])/55 - (159820619*s[55])/330 - 
       (214538987*s[56])/1980 + (48218639*s[57])/1485 - 
       (6467005901*s[58])/35640 + (710919101*s[59])/3564 + 
       (27647915759*s[60])/23760 - (34598486959*s[61])/641520 - (4*s[64])/5 + 
       (19*s[65])/5 + (76*s[66])/5 - (138*s[67])/5 - (828*s[68])/5 + 
       272*s[69] + (71*s[70])/5 + 3*s[71] - (316*s[72])/5 - 700*s[73] + 
       (263*s[74])/5 - 55*s[75] - (2608*s[76])/5 - (849*s[77])/5 + 
       545*s[78] + (2114*s[79])/5 + (9469*s[80])/30 + (26094*s[82])/5 + 
       (84*s[83])/5 - (216*s[84])/5 - (1236*s[85])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*((907*s[2])/3 - (7621*s[3])/30 + 
       (142801*s[4])/60 + (721891*s[5])/330 + (2922473*s[6])/660 + 
       (576505037*s[7])/11880 - (50777851*s[8])/17820 - (3347938*s[9])/81 - 
       (6505438*s[10])/405 - (625272319*s[11])/11880 - 
       (161695529*s[12])/2970 - (388930361*s[13])/11880 - 
       (93530191*s[14])/11880 - (76202779*s[15])/1080 - 
       (127433443*s[16])/1485 - (95495569*s[17])/1320 - 
       (6859936*s[18])/1215 - (59793983*s[19])/4860 - 
       (5286898031*s[20])/53460 - (3747194797*s[21])/106920 + 
       (2754821909*s[22])/106920 + (99159397*s[23])/2970 + 
       (162496682*s[24])/2673 - (6357232891*s[25])/96228 + 
       (17233550087*s[26])/481140 + (4*s[28])/5 + (56*s[29])/5 - 
       (138*s[30])/5 + (1084*s[31])/15 - (1034*s[32])/15 + (231*s[33])/5 - 
       (1966*s[34])/15 - (292*s[35])/5 - (1491*s[36])/5 - (2971*s[37])/45 + 
       1749*s[38] - (128553*s[39])/20 + (428591*s[40])/60 - 
       (371189*s[41])/60 + (172459*s[42])/20 + (342043*s[43])/44 - 
       (3196293*s[44])/440 + (3599429*s[45])/495 - (115938389*s[46])/1980 - 
       (2353103*s[47])/3960 + (18137587*s[48])/3960 - 
       (148225051*s[49])/3960 + (2704818*s[50])/55 + (6564269*s[51])/1320 + 
       (12097589*s[52])/3960 - (101874761*s[53])/2970 - (4221698*s[54])/495 - 
       (852455827*s[55])/3960 - (501375451*s[56])/11880 - 
       (19545881*s[57])/8910 - (7726858817*s[58])/106920 + 
       (8840174279*s[59])/106920 + (462801443*s[60])/880 - 
       (20548997891*s[61])/962280 - (4*s[64])/5 + (16*s[65])/5 + 16*s[66] - 
       24*s[67] - (1336*s[68])/15 + (572*s[69])/5 + (84*s[70])/5 - 4*s[71] - 
       (64*s[72])/5 - (1146*s[73])/5 + (36*s[74])/5 - (52*s[75])/5 - 
       (1532*s[76])/15 - (324*s[77])/5 + (466*s[78])/5 + (5468*s[79])/15 + 
       (6376*s[80])/45 + (9836*s[82])/5 + (12*s[83])/5 + (1008*s[84])/5 - 
       216*s[85])*\[Zeta][2]^2 + HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      ((1747*s[2])/5 + (179*s[3])/10 + (88909*s[4])/20 + (156344*s[5])/55 + 
       (1460619*s[6])/220 + (273506329*s[7])/3960 - (31907677*s[8])/5940 - 
       (15662647*s[9])/270 - (5221061*s[10])/270 - (301587271*s[11])/3960 - 
       (81405971*s[12])/990 - (21843977*s[13])/440 - (4820267*s[14])/792 - 
       (11454577*s[15])/120 - (39355387*s[16])/330 - (74382145*s[17])/792 - 
       (7958039*s[18])/810 - (4647415*s[19])/324 - (2416525343*s[20])/17820 - 
       (338083709*s[21])/7128 + (1299050957*s[22])/35640 + 
       (7903987*s[23])/110 + (357869911*s[24])/4455 - 
       (3929628317*s[25])/40095 + (2068472543*s[26])/40095 + 16*s[29] - 
       (14*s[30])/5 + 108*s[31] - (244*s[32])/5 + (566*s[33])/5 - 
       (1094*s[34])/5 - (638*s[35])/5 - (2028*s[36])/5 + 239*s[37] + 
       (12652*s[38])/5 - (98527*s[39])/10 + (21267*s[40])/2 - 
       (86131*s[41])/10 + (139173*s[42])/10 + (973881*s[43])/110 - 
       (514898*s[44])/55 + (189375*s[45])/22 - (4006184*s[46])/55 + 
       (139252*s[47])/55 + (134811*s[48])/110 - (2370432*s[49])/55 + 
       (3225394*s[50])/55 + (2954111*s[51])/330 + (709157*s[52])/110 - 
       (2680609*s[53])/66 - (289057*s[54])/55 - (83525671*s[55])/330 - 
       (9435137*s[56])/165 + (10039955*s[57])/198 - (317232329*s[58])/2970 + 
       (339340091*s[59])/2970 + (135418119*s[60])/220 - 
       (747295883*s[61])/26730 - (8*s[62])/5 + (8*s[65])/5 + (16*s[66])/5 - 
       (48*s[67])/5 - (332*s[68])/5 + (332*s[69])/5 - (32*s[70])/5 + 
       (62*s[71])/5 + (84*s[72])/5 - (764*s[73])/5 - (221*s[74])/5 + 
       (229*s[75])/5 - (876*s[76])/5 - (166*s[77])/5 + 156*s[78] + 
       (2776*s[79])/5 + (614*s[80])/5 + (4632*s[82])/5 - (12*s[83])/5 + 
       (1296*s[84])/5 - (856*s[85])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*((-8*s[1])/5 + (26*s[2])/5 + s[3] + 
       (447*s[4])/5 - (10661*s[5])/55 + (688*s[6])/11 - (139444*s[7])/165 - 
       (1319*s[8])/297 + (132166*s[9])/135 + (4454*s[10])/135 + 
       (1011107*s[11])/990 + (230513*s[12])/198 + (362356*s[13])/495 + 
       (20573*s[14])/99 + (9391*s[15])/9 + (1312649*s[16])/990 + 
       (351601*s[17])/495 + (106073*s[18])/405 - (110659*s[19])/810 + 
       (1997489*s[20])/891 + (9543227*s[21])/8910 - (528283*s[22])/891 - 
       (189785*s[23])/198 - (6038539*s[24])/8910 + (91465073*s[25])/80190 - 
       (6509087*s[26])/8019 - 8*s[31] - (33*s[32])/5 - 50*s[33] + 44*s[34] + 
       24*s[35] + 64*s[36] - (1654*s[37])/15 - (691*s[38])/5 + 
       (2327*s[39])/10 - (1291*s[40])/10 - (222*s[41])/5 - (2351*s[42])/10 + 
       (599*s[43])/22 + (524*s[44])/11 - (227741*s[45])/330 + 
       (85025*s[46])/33 - (212437*s[47])/660 + (67825*s[48])/132 + 
       (77521*s[49])/660 - (95257*s[50])/55 - (119183*s[51])/660 - 
       (96757*s[52])/330 + (1314337*s[53])/990 + (8875*s[54])/66 + 
       (2237509*s[55])/220 + (6349393*s[56])/1980 - (5048299*s[57])/1485 + 
       (94307129*s[58])/17820 - (85857803*s[59])/17820 - 
       (26933147*s[60])/1320 + (245019683*s[61])/160380 - (86*s[68])/5 + 
       (156*s[69])/5 - 6*s[71] - 46*s[73] + 6*s[74] - 6*s[75] + 8*s[76] - 
       (126*s[77])/5 + 88*s[79] - (322*s[80])/3 - (2128*s[82])/5 - 
       (208*s[85])/5)*\[Zeta][2]^2 + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      ((-2*s[2])/5 - (159*s[3])/10 - (2081*s[4])/20 + (23523*s[5])/220 - 
       (9168*s[6])/55 - (1224293*s[7])/1320 + (61106*s[8])/1485 + 
       (260443*s[9])/540 + (542807*s[10])/540 + (628123*s[11])/792 + 
       (838403*s[12])/1980 + (292883*s[13])/3960 + (2498201*s[14])/3960 + 
       (783307*s[15])/360 + (236054*s[16])/99 + (12616223*s[17])/3960 - 
       (432307*s[18])/1620 + (1791241*s[19])/1620 + (37363069*s[20])/17820 + 
       (14280269*s[21])/35640 - (11452087*s[22])/35640 + 
       (1188109*s[23])/495 - (21463033*s[24])/8910 + (306556469*s[25])/
        320760 - (134031617*s[26])/320760 - (2*s[27])/5 + 4*s[29] + 
       (88*s[31])/5 + 8*s[32] + (111*s[33])/2 - (328*s[34])/5 - 
       (176*s[35])/5 - (829*s[36])/15 + (829*s[37])/6 + (614*s[38])/5 - 
       (4517*s[39])/20 + (1247*s[40])/12 + (1523*s[41])/20 + 
       (4165*s[42])/12 - (180007*s[43])/660 + (54301*s[44])/264 - 
       (9527*s[45])/660 + (115339*s[46])/110 + (522457*s[47])/792 - 
       (4565281*s[48])/3960 + (5783917*s[49])/3960 - (240214*s[50])/165 + 
       (1292443*s[51])/3960 + (1885501*s[52])/3960 + (32741*s[53])/33 + 
       (36054*s[54])/55 + (7852351*s[55])/1320 + (125387*s[56])/3960 + 
       (15212258*s[57])/1485 - (83690249*s[58])/35640 + 
       (8996905*s[59])/7128 - (372427333*s[60])/23760 + 
       (49153607*s[61])/160380 + (84*s[68])/5 - (184*s[69])/5 + 2*s[71] + 
       48*s[73] - (37*s[74])/5 + (37*s[75])/5 - (88*s[76])/5 + 
       (134*s[77])/5 + (48*s[78])/5 - (336*s[79])/5 + (1799*s[80])/15 - 
       (2128*s[82])/5 - (208*s[85])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*((-378*s[2])/5 + (248*s[3])/5 - 
       (2937*s[4])/5 - (108527*s[5])/110 - (158517*s[6])/110 - 
       (6385441*s[7])/396 + (435253*s[8])/495 + (627593*s[9])/45 + 
       (239344*s[10])/45 + (11545519*s[11])/660 + (5970851*s[12])/330 + 
       (21069097*s[13])/1980 + (2173957*s[14])/660 + (835309*s[15])/36 + 
       (2815844*s[16])/99 + (47763449*s[17])/1980 + (338417*s[18])/135 + 
       (466177*s[19])/135 + (100438427*s[20])/2970 + (8452223*s[21])/660 - 
       (10201751*s[22])/1188 - (6044471*s[23])/495 - (11509045*s[24])/594 + 
       (379994473*s[25])/17820 - (219479959*s[26])/17820 + 12*s[30] - 
       28*s[31] + (46*s[32])/5 - 7*s[33] + 52*s[34] + 16*s[35] + 
       (292*s[36])/3 - (754*s[37])/15 - (2742*s[38])/5 + 1578*s[39] - 
       (4954*s[40])/3 + (6721*s[41])/5 - (56579*s[42])/30 - 
       (28196*s[43])/15 + (20491*s[44])/12 - (36071*s[45])/15 + 
       (242209*s[46])/15 + (24293*s[47])/180 - (212779*s[48])/180 + 
       (1667323*s[49])/180 - (198614*s[50])/15 - (36097*s[51])/36 - 
       (132527*s[52])/180 + (83629*s[53])/9 + (37867*s[54])/15 + 
       (3617563*s[55])/60 + (256281*s[56])/20 + (36631*s[57])/90 + 
       (2250641*s[58])/108 - (2502719*s[59])/108 - (31230461*s[60])/216 + 
       (705755*s[61])/108 + (84*s[68])/5 - (134*s[69])/5 - 4*s[70] - 
       2*s[71] + 8*s[72] + (246*s[73])/5 - 4*s[74] + 4*s[75] + 48*s[76] + 
       (84*s[77])/5 - 44*s[78] - (220*s[80])/3 - (4416*s[82])/5 - 
       (192*s[85])/5)*\[Zeta][2]^2 + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      ((-304*s[2])/5 + (117*s[3])/5 - (6093*s[4])/10 - (93017*s[5])/110 - 
       (76129*s[6])/55 - (14500597*s[7])/990 + (1294616*s[8])/1485 + 
       (3373211*s[9])/270 + (1336417*s[10])/270 + (31347271*s[11])/1980 + 
       (16127143*s[12])/990 + (18896003*s[13])/1980 + (6098503*s[14])/1980 + 
       (957799*s[15])/45 + (51787223*s[16])/1980 + (14844521*s[17])/660 + 
       (872813*s[18])/405 + (273707*s[19])/81 + (54668575*s[20])/1782 + 
       (204885643*s[21])/17820 - (137819711*s[22])/17820 - 
       (20809321*s[23])/1980 - (63975889*s[24])/3564 + 
       (620620499*s[25])/32076 - (1782921601*s[26])/160380 + 12*s[30] - 
       (12*s[31])/5 + 14*s[32] + (137*s[33])/5 + (52*s[34])/5 + 
       (32*s[35])/5 + (464*s[36])/5 - (148*s[37])/15 - (2238*s[38])/5 + 
       1470*s[39] - (8154*s[40])/5 + (6651*s[41])/5 - (18381*s[42])/10 - 
       (20530*s[43])/11 + (188923*s[44])/110 - (73418*s[45])/33 + 
       (2544934*s[46])/165 + (32276*s[47])/165 - (208492*s[48])/165 + 
       (2953433*s[49])/330 - (697902*s[50])/55 - (323219*s[51])/330 - 
       (220027*s[52])/330 + (8866153*s[53])/990 + (365989*s[54])/165 + 
       (1897678*s[55])/33 + (12175541*s[56])/990 + (943499*s[57])/1485 + 
       (87811817*s[58])/4455 - (195834403*s[59])/8910 - 
       (30318883*s[60])/220 + (202008979*s[61])/32076 + (104*s[68])/5 - 
       (184*s[69])/5 - 4*s[70] - (14*s[71])/5 + 8*s[72] + 64*s[73] - 
       (38*s[74])/5 + (38*s[75])/5 + (72*s[76])/5 + (124*s[77])/5 - 
       (152*s[78])/5 - (96*s[79])/5 - (64*s[80])/3 - (4416*s[82])/5 - 
       (192*s[85])/5)*\[Zeta][2]^2 + HPL[{1}, 1 - v]^3*
      (44*s[2] - (5693*s[3])/60 - (63433*s[4])/120 - (24543*s[5])/440 - 
       (135613*s[6])/330 - (20955515*s[7])/4752 + (3536308*s[8])/4455 + 
       (11193889*s[9])/3240 + (1742873*s[10])/3240 + (121766771*s[11])/
        23760 + (9489064*s[12])/1485 + (91725037*s[13])/23760 - 
       (25778773*s[14])/23760 + (10759619*s[15])/2160 + 
       (82954961*s[16])/11880 + (29983717*s[17])/7920 + 
       (8430713*s[18])/9720 + (4255981*s[19])/9720 + (786951271*s[20])/
        106920 + (464308991*s[21])/213840 - (96905681*s[22])/42768 - 
       (56378357*s[23])/5940 - (43533131*s[24])/10692 + 
       (14166336161*s[25])/1924560 - (6433247441*s[26])/1924560 + 12*s[29] - 
       6*s[30] + (52*s[31])/3 - (134*s[32])/15 - (5*s[33])/2 - (34*s[34])/3 + 
       19*s[35] + 33*s[36] - (10961*s[37])/180 - (1124*s[38])/5 + 
       (64813*s[39])/60 - (13109*s[40])/12 + (47903*s[41])/60 - 
       (99709*s[42])/60 - (117273*s[43])/220 + (333379*s[44])/440 - 
       (455783*s[45])/792 + (22442323*s[46])/3960 - (44684*s[47])/55 + 
       (175321*s[48])/220 + (146691*s[49])/55 - (449539*s[50])/110 - 
       (255683*s[51])/220 - (1306289*s[52])/1320 + (33890123*s[53])/11880 - 
       (644051*s[54])/990 + (8390204*s[55])/495 + (5965345*s[56])/1188 - 
       (57284708*s[57])/4455 + (1195239653*s[58])/106920 - 
       (573585223*s[59])/53460 - (965235497*s[60])/23760 + 
       (952849943*s[61])/384912 + 3*s[65] + 12*s[66] - 18*s[67] - 
       (58*s[68])/3 - (34*s[69])/3 - s[70] - 5*s[71] - 16*s[72] - 20*s[73] + 
       14*s[74] - 14*s[75] - (56*s[76])/3 - 5*s[77] - 11*s[78] + 
       (62*s[79])/3 - (169*s[80])/18 + (662*s[82])/5 - 4*s[85])*
      \[Zeta][2]^2 + HPL[{1}, 1 - u]^3*((98*s[2])/3 - (941*s[3])/12 - 
       (65293*s[4])/120 + (138791*s[5])/1320 - (3196*s[6])/11 - 
       (77523031*s[7])/23760 + (1120301*s[8])/1485 + (2522339*s[9])/1080 + 
       (285331*s[10])/1080 + (30895661*s[11])/7920 + (10217567*s[12])/1980 + 
       (74695733*s[13])/23760 - (11865247*s[14])/7920 + (1453055*s[15])/432 + 
       (60103321*s[16])/11880 + (50909827*s[17])/23760 + 
       (1505003*s[18])/3240 + (1625227*s[19])/3240 + (167358649*s[20])/
        35640 + (21439463*s[21])/23760 - (115946807*s[22])/71280 - 
       (12060154*s[23])/1485 - (13824629*s[24])/4455 + 
       (1286234077*s[25])/213840 - (496917661*s[26])/213840 + 12*s[29] - 
       6*s[30] + (52*s[31])/3 - (11*s[32])/3 + (43*s[33])/15 - 
       (108*s[34])/5 + 13*s[35] + (107*s[36])/5 - (1661*s[37])/60 - 
       (2608*s[38])/15 + (3867*s[39])/4 - (4087*s[40])/4 + (46727*s[41])/60 - 
       (90209*s[42])/60 - (374251*s[43])/660 + (338407*s[44])/440 - 
       (498559*s[45])/1320 + (6511979*s[46])/1320 - (1222483*s[47])/1980 + 
       (456127*s[48])/990 + (5530453*s[49])/1980 - (1202771*s[50])/330 - 
       (1002283*s[51])/990 - (3261967*s[52])/3960 + (9803779*s[53])/3960 - 
       (64429*s[54])/110 + (3144169*s[55])/220 + (224476*s[56])/55 - 
       (1723687*s[57])/165 + (109635301*s[58])/11880 - 
       (26640517*s[59])/2970 - (173286073*s[60])/4752 + 
       (430339117*s[61])/213840 + 3*s[65] + 12*s[66] - 18*s[67] - 
       (40*s[68])/3 - 20*s[69] - s[70] - (24*s[71])/5 - 16*s[72] - 8*s[73] + 
       12*s[74] - 12*s[75] - (59*s[76])/3 + (7*s[77])/3 - 13*s[78] - 
       (94*s[79])/5 + (821*s[80])/30 + (662*s[82])/5 - 4*s[85])*
      \[Zeta][2]^2 + HPL[{1}, 1 - w]^3*((113*s[2])/3 - (707*s[3])/12 - 
       (50003*s[4])/120 + (247979*s[5])/1320 + (61027*s[6])/660 - 
       (5554397*s[7])/4752 + (10150171*s[8])/17820 + (2144293*s[9])/3240 - 
       (168107*s[10])/648 + (38768813*s[11])/23760 + (3991876*s[12])/1485 + 
       (7587695*s[13])/4752 - (48438139*s[14])/23760 + (296557*s[15])/432 + 
       (18721427*s[16])/11880 - (5161601*s[17])/7920 + (290417*s[18])/9720 + 
       (2742391*s[19])/9720 + (58447921*s[20])/106920 - 
       (28345751*s[21])/42768 - (125321803*s[22])/213840 - 
       (1741939*s[23])/297 - (2197634*s[24])/2673 + (6106155353*s[25])/
        1924560 - (1266762041*s[26])/1924560 + 12*s[29] - 6*s[30] + 
       (49*s[31])/3 - (14*s[32])/3 - 3*s[33] - (31*s[34])/3 + 19*s[35] + 
       31*s[36] - (4883*s[37])/180 - (659*s[38])/5 + (15559*s[39])/20 - 
       (46697*s[40])/60 + (34649*s[41])/60 - (24773*s[42])/20 - 
       (64753*s[43])/220 + (239279*s[44])/440 - (245353*s[45])/3960 + 
       (2105441*s[46])/792 - (1207469*s[47])/1980 + (346426*s[48])/495 + 
       (3745343*s[49])/1980 - (22972*s[50])/11 - (91257*s[51])/110 - 
       (2466263*s[52])/3960 + (16054637*s[53])/11880 - (10768*s[54])/495 + 
       (13450739*s[55])/1980 + (897203*s[56])/594 - (82259959*s[57])/8910 + 
       (619180457*s[58])/106920 - (76548559*s[59])/13365 - 
       (28629323*s[60])/1584 + (300533693*s[61])/384912 + 3*s[65] + 
       12*s[66] - 18*s[67] - (37*s[68])/3 - 20*s[69] - s[70] - 5*s[71] - 
       16*s[72] - 8*s[73] + 14*s[74] - 14*s[75] - (56*s[76])/3 + s[77] - 
       11*s[78] + (50*s[79])/3 - (133*s[80])/18 + (718*s[82])/5 + 28*s[85])*
      \[Zeta][2]^2 + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      ((12352*s[2])/15 - (1576*s[3])/15 + (37853*s[4])/6 + 
       (2163233*s[5])/330 + (2303707*s[6])/165 + (38284306*s[7])/297 - 
       (6828961*s[8])/891 - (44301916*s[9])/405 - (32954803*s[10])/810 - 
       (208087279*s[11])/1485 - (216673883*s[12])/1485 - 
       (129603542*s[13])/1485 - (71588639*s[14])/2970 - (4949675*s[15])/27 - 
       (672641839*s[16])/2970 - (94345717*s[17])/495 - 
       (23766383*s[18])/1215 - (33101662*s[19])/1215 - 
       (3520155472*s[20])/13365 - (1299838879*s[21])/13365 + 
       (362397125*s[22])/5346 + (159339853*s[23])/1485 + 
       (409666624*s[24])/2673 - (4179067349*s[25])/24057 + 
       (2354304065*s[26])/24057 + (152*s[29])/5 - (258*s[30])/5 + 
       (2876*s[31])/15 - (2566*s[32])/15 + (163*s[33])/10 - (5114*s[34])/15 - 
       (24*s[35])/5 - (8492*s[36])/15 + (7666*s[37])/45 + (18826*s[38])/5 - 
       (68268*s[39])/5 + (77528*s[40])/5 - (190561*s[41])/15 + 
       (270631*s[42])/15 + (2800444*s[43])/165 - (2503126*s[44])/165 + 
       (9231022*s[45])/495 - (66966412*s[46])/495 - (276347*s[47])/330 + 
       (686597*s[48])/66 - (5092711*s[49])/66 + (17856802*s[50])/165 + 
       (10105673*s[51])/990 + (419888*s[52])/55 - (114556073*s[53])/1485 - 
       (5640313*s[54])/495 - (485330063*s[55])/990 - (331280393*s[56])/2970 + 
       (88570486*s[57])/4455 - (4778172013*s[58])/26730 + 
       (5242811503*s[59])/26730 + (6990043597*s[60])/5940 - 
       (6707466761*s[61])/120285 - (4*s[64])/5 + 8*s[65] + (208*s[66])/5 - 
       (288*s[67])/5 - (3188*s[68])/15 + (1344*s[69])/5 + 28*s[70] - 
       (72*s[71])/5 - (464*s[72])/5 - (3392*s[73])/5 + (392*s[74])/5 - 
       (408*s[75])/5 - (5224*s[76])/15 - 224*s[77] + (1796*s[78])/5 + 
       (11968*s[79])/15 - (3988*s[80])/45 + (26372*s[82])/5 + 12*s[83] + 
       (1008*s[84])/5 + (408*s[85])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*((838*s[2])/3 - (3397*s[3])/12 + 
       (120023*s[4])/120 + (663191*s[5])/264 + (321815*s[6])/66 + 
       (185827061*s[7])/4752 - (2012815*s[8])/1782 - (111407671*s[9])/3240 - 
       (42395759*s[10])/3240 - (993169337*s[11])/23760 - 
       (62559352*s[12])/1485 - (597598279*s[13])/23760 - 
       (62041621*s[14])/4752 - (120074141*s[15])/2160 - 
       (809364401*s[16])/11880 - (157605197*s[17])/2640 - 
       (72031151*s[18])/9720 - (59706463*s[19])/9720 - 
       (9091745953*s[20])/106920 - (7250018069*s[21])/213840 + 
       (4459018951*s[22])/213840 + (75702703*s[23])/2970 + 
       (1217291087*s[24])/26730 - (18775560835*s[25])/384912 + 
       (59160569639*s[26])/1924560 + (4*s[28])/5 + 44*s[29] - (106*s[30])/5 + 
       (1264*s[31])/15 - (115*s[32])/3 + (147*s[33])/10 - (1342*s[34])/15 + 
       (251*s[35])/5 - (17*s[36])/5 - (17881*s[37])/180 + (4931*s[38])/5 - 
       (71773*s[39])/20 + (261467*s[40])/60 - (44347*s[41])/12 + 
       (19737*s[42])/4 + (190655*s[43])/44 - (1765317*s[44])/440 + 
       (17567233*s[45])/3960 - (135839257*s[46])/3960 - (250843*s[47])/1980 + 
       (2981611*s[48])/990 - (37218569*s[49])/1980 + (593431*s[50])/22 + 
       (1076699*s[51])/330 + (10173749*s[52])/3960 - (218202617*s[53])/
        11880 - (59116*s[54])/99 - (234692651*s[55])/1980 - 
       (44587001*s[56])/1485 + (128083669*s[57])/8910 - 
       (5132772497*s[58])/106920 + (668560696*s[59])/13365 + 
       (2331325187*s[60])/7920 - (27681584149*s[61])/1924560 + (39*s[65])/5 + 
       28*s[66] - (186*s[67])/5 - (1024*s[68])/15 - (68*s[69])/5 - s[70] - 
       (103*s[71])/5 - (104*s[72])/5 - (296*s[73])/5 + (58*s[74])/5 - 
       (58*s[75])/5 - (1424*s[76])/15 - (103*s[77])/5 + (57*s[78])/5 + 
       (11078*s[79])/15 - (17977*s[80])/90 + (2958*s[82])/5 + (48*s[83])/5 + 
       288*s[84] + (444*s[85])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*((2267*s[2])/15 - (17939*s[3])/60 + 
       (49829*s[4])/120 + (2590933*s[5])/1320 + (549041*s[6])/165 + 
       (647635579*s[7])/23760 - (1798636*s[8])/4455 - (79351909*s[9])/3240 - 
       (30507293*s[10])/3240 - (689931359*s[11])/23760 - 
       (170979697*s[12])/5940 - (411324637*s[13])/23760 - 
       (248267651*s[14])/23760 - (83920199*s[15])/2160 - 
       (563413331*s[16])/11880 - (111316387*s[17])/2640 - 
       (50343161*s[18])/9720 - (40816081*s[19])/9720 - 
       (6483795187*s[20])/106920 - (5225685863*s[21])/213840 + 
       (3153214213*s[22])/213840 + (16578409*s[23])/1188 + 
       (1724370643*s[24])/53460 - (12807323413*s[25])/384912 + 
       (41321233961*s[26])/1924560 - (4*s[28])/5 + (244*s[29])/5 - 30*s[30] + 
       (904*s[31])/15 - (323*s[32])/15 - 33*s[33] - (182*s[34])/3 - 
       11*s[35] - (337*s[36])/15 + (239*s[37])/180 + (3359*s[38])/5 - 
       (7869*s[39])/4 + (50853*s[40])/20 - (130283*s[41])/60 + 
       (149927*s[42])/60 + (1858949*s[43])/660 - (649685*s[44])/264 + 
       (14684161*s[45])/3960 - (96248113*s[46])/3960 - (197057*s[47])/330 + 
       (1725509*s[48])/660 - (657298*s[49])/55 + (6405139*s[50])/330 + 
       (3531863*s[51])/1980 + (1856221*s[52])/1320 - (31211077*s[53])/2376 - 
       (92155*s[54])/99 - (86986351*s[55])/990 - (132991547*s[56])/5940 + 
       (5316671*s[57])/1782 - (3506437871*s[58])/106920 + 
       (363590657*s[59])/10692 + (5100413663*s[60])/23760 - 
       (20631022573*s[61])/1924560 - (8*s[62])/5 - (4*s[64])/5 + 
       (47*s[65])/5 + (204*s[66])/5 - (282*s[67])/5 - (176*s[68])/3 - 
       (304*s[69])/5 + (31*s[70])/5 - (81*s[71])/5 - (236*s[72])/5 - 
       (172*s[73])/5 + (97*s[74])/5 - (97*s[75])/5 - (223*s[76])/3 + 
       3*s[77] - (279*s[78])/5 + (8978*s[79])/15 - (9811*s[80])/90 + 
       (2958*s[82])/5 + (48*s[83])/5 + 288*s[84] + (444*s[85])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((3617*s[2])/15 - (17291*s[3])/60 + (165089*s[4])/120 + 
       (2715787*s[5])/1320 + (2671169*s[6])/660 + (868499923*s[7])/23760 - 
       (24562009*s[8])/17820 - (103386511*s[9])/3240 - 
       (38350619*s[10])/3240 - (186558751*s[11])/4752 - 
       (59436937*s[12])/1485 - (573676429*s[13])/23760 - 
       (221833523*s[14])/23760 - (22596607*s[15])/432 - 
       (754468247*s[16])/11880 - (431704969*s[17])/7920 - 
       (59263859*s[18])/9720 - (64940269*s[19])/9720 - 
       (1643301887*s[20])/21384 - (6269876507*s[21])/213840 + 
       (4174934941*s[22])/213840 + (159556781*s[23])/5940 + 
       (2283144601*s[24])/53460 - (91216644503*s[25])/1924560 + 
       (10763804683*s[26])/384912 + (244*s[29])/5 - (42*s[30])/5 + 
       (1729*s[31])/15 - (94*s[32])/3 + (352*s[33])/5 - (2311*s[34])/15 + 
       (139*s[35])/5 - (459*s[36])/5 - (5803*s[37])/180 + (5569*s[38])/5 - 
       (70987*s[39])/20 + (253109*s[40])/60 - (43633*s[41])/12 + 
       (91777*s[42])/20 + (1025693*s[43])/220 - (1827131*s[44])/440 + 
       (22406911*s[45])/3960 - (156421879*s[46])/3960 - (134953*s[47])/198 + 
       (7207469*s[48])/1980 - (4156247*s[49])/198 + (351848*s[50])/11 + 
       (1948301*s[51])/660 + (8431427*s[52])/3960 - (52876687*s[53])/2376 - 
       (288364*s[54])/99 - (71929277*s[55])/495 - (40625683*s[56])/1188 + 
       (4824152*s[57])/4455 - (5490134669*s[58])/106920 + 
       (2965314691*s[59])/53460 + (919507009*s[60])/2640 - 
       (32201818039*s[61])/1924560 + (51*s[65])/5 + (204*s[66])/5 - 
       (306*s[67])/5 - (877*s[68])/15 - (188*s[69])/5 - s[70]/5 - 19*s[71] - 
       32*s[72] - (632*s[73])/5 + 16*s[74] - 16*s[75] - (2408*s[76])/15 - 
       19*s[77] + (173*s[78])/5 + (9698*s[79])/15 - (3217*s[80])/90 + 
       (7422*s[82])/5 + (72*s[83])/5 + 288*s[84] + (636*s[85])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      ((926*s[2])/3 - (5266*s[3])/15 + (24113*s[4])/15 + (1249973*s[5])/330 + 
       (2062163*s[6])/330 + (33700889*s[7])/594 - (4201763*s[8])/1782 - 
       (40268519*s[9])/810 - (15182911*s[10])/810 - (89908921*s[11])/1485 - 
       (90788297*s[12])/1485 - (10717627*s[13])/297 - (4732631*s[14])/297 - 
       (2209199*s[15])/27 - (58925717*s[16])/594 - (85890767*s[17])/990 - 
       (5031473*s[18])/486 - (11815441*s[19])/1215 - (1622180179*s[20])/
        13365 - (1284451253*s[21])/26730 + (80634838*s[22])/2673 + 
       (61300642*s[23])/1485 + (880559519*s[24])/13365 - 
       (6898477373*s[25])/96228 + (21256376593*s[26])/481140 + 48*s[29] - 
       (216*s[30])/5 + (340*s[31])/3 - (664*s[32])/15 - 18*s[33] - 
       (2132*s[34])/15 + 24*s[35] - (2471*s[36])/15 + (2134*s[37])/45 + 
       (9463*s[38])/5 - (120439*s[39])/20 + (138379*s[40])/20 - 
       (342667*s[41])/60 + (92483*s[42])/12 + (1022735*s[43])/132 - 
       (8811017*s[44])/1320 + (9791279*s[45])/990 - (130799593*s[46])/1980 - 
       (901567*s[47])/1320 + (1412623*s[48])/264 - (15288761*s[49])/440 + 
       (8704732*s[50])/165 + (18087821*s[51])/3960 + (4692353*s[52])/1320 - 
       (55520354*s[53])/1485 - (2578174*s[54])/495 - (961551377*s[55])/3960 - 
       (135668293*s[56])/2376 + (55393739*s[57])/8910 - 
       (9371407807*s[58])/106920 + (10141774669*s[59])/106920 + 
       (13698487303*s[60])/23760 - (27521984311*s[61])/962280 - (4*s[64])/5 + 
       (56*s[65])/5 + 48*s[66] - 72*s[67] - (280*s[68])/3 + 4*s[69] + 
       (44*s[70])/5 - 24*s[71] - (264*s[72])/5 - (1046*s[73])/5 + 
       (208*s[74])/5 - (224*s[75])/5 - (572*s[76])/3 - (288*s[77])/5 + 
       90*s[78] + (8596*s[79])/15 + (406*s[80])/9 + (16144*s[82])/5 + 
       (24*s[83])/5 + (1152*s[84])/5 + (1536*s[85])/5)*\[Zeta][2]^2 + 
     HPL[{0, 1, 1}, 1 - u]*((9878*s[2])/15 + (7141*s[3])/15 + 
       (319949*s[4])/30 + (2424901*s[5])/330 + (3046856*s[6])/165 + 
       (990203083*s[7])/5940 - (61699486*s[8])/4455 - (112542781*s[9])/810 - 
       (36672053*s[10])/810 - (1093550771*s[11])/5940 - 
       (297274579*s[12])/1485 - (713777281*s[13])/5940 - 
       (97336043*s[14])/5940 - (121369799*s[15])/540 - 
       (847103093*s[16])/2970 - (443209321*s[17])/1980 - 
       (68922737*s[18])/2430 - (72139021*s[19])/2430 - 
       (1736751629*s[20])/5346 - (6296513039*s[21])/53460 + 
       (4641720961*s[22])/53460 + (285394661*s[23])/1485 + 
       (2467844971*s[24])/13365 - (113156136389*s[25])/481140 + 
       (61360627817*s[26])/481140 + (4*s[28])/5 - (368*s[29])/5 + 32*s[30] + 
       (2872*s[31])/15 - (1892*s[32])/15 + (78*s[33])/5 - (5704*s[34])/15 + 
       28*s[35] - (11128*s[36])/15 + (27077*s[37])/45 + (30956*s[38])/5 - 
       (117308*s[39])/5 + 25596*s[40] - (299666*s[41])/15 + 
       (483713*s[42])/15 + (3832676*s[43])/165 - (3737993*s[44])/165 + 
       (25366387*s[45])/990 - (38545961*s[46])/198 + (334439*s[47])/66 + 
       (2316091*s[48])/330 - (11740957*s[49])/110 + (24739508*s[50])/165 + 
       (19755799*s[51])/990 + (2678363*s[52])/165 - (316270829*s[53])/2970 - 
       (3153212*s[54])/495 - (663891097*s[55])/990 - (494142427*s[56])/2970 + 
       (113686258*s[57])/891 - (3842681791*s[58])/13365 + 
       (1614444937*s[59])/5346 + (2400827531*s[60])/1485 - 
       (39797267377*s[61])/481140 + (16*s[62])/5 + (8*s[64])/5 - 
       (52*s[65])/5 - 48*s[66] + 72*s[67] - (284*s[68])/3 + (2068*s[69])/5 + 
       (36*s[70])/5 + (4*s[71])/5 + 64*s[72] - (3696*s[73])/5 - 
       (108*s[74])/5 + (92*s[75])/5 - (7292*s[76])/15 - (1296*s[77])/5 + 
       (3604*s[78])/5 + (2152*s[79])/3 - (6698*s[80])/45 + (23984*s[82])/5 + 
       24*s[83] + (1552*s[85])/5)*\[Zeta][2]^2 + HPL[{0, 1, 1}, 1 - v]*
      ((3581*s[2])/15 + (10337*s[3])/30 + (447037*s[4])/60 + 
       (761966*s[5])/165 + (1438375*s[6])/132 + (1280931191*s[7])/11880 - 
       (33794885*s[8])/3564 - (36461222*s[9])/405 - (22771127*s[10])/810 - 
       (1423154221*s[11])/11880 - (195435343*s[12])/1485 - 
       (940240463*s[13])/11880 - (15435713*s[14])/2376 - 
       (156987121*s[15])/1080 - (273728722*s[16])/1485 - 
       (111849893*s[17])/792 - (21528781*s[18])/1215 - 
       (95108537*s[19])/4860 - (11131699157*s[20])/53460 - 
       (7949489419*s[21])/106920 + (1209400867*s[22])/21384 + 
       (392315497*s[23])/2970 + (1592874964*s[24])/13365 - 
       (74516637167*s[25])/481140 + (39625408259*s[26])/481140 - 
       (8*s[28])/5 - (248*s[29])/5 + (72*s[30])/5 + (1528*s[31])/15 - 
       (956*s[32])/15 + (811*s[33])/10 - (884*s[34])/3 - 50*s[35] - 
       (3914*s[36])/5 + (33941*s[37])/45 + (22106*s[38])/5 - 
       (72811*s[39])/5 + (235883*s[40])/15 - (178496*s[41])/15 + 
       (95398*s[42])/5 + (857909*s[43])/55 - (3115359*s[44])/220 + 
       (20291011*s[45])/990 - (135883591*s[46])/990 + (4171571*s[47])/1980 + 
       (11180903*s[48])/1980 - (139635773*s[49])/1980 + (1164032*s[50])/11 + 
       (2481859*s[51])/220 + (19480297*s[52])/1980 - (113205439*s[53])/1485 - 
       (3986216*s[54])/495 - (973050863*s[55])/1980 - 
       (722891777*s[56])/5940 + (580800223*s[57])/8910 - 
       (10682212477*s[58])/53460 + (11310418723*s[59])/53460 + 
       (1529470853*s[60])/1320 - (28947952999*s[61])/481140 - (8*s[65])/5 + 
       16*s[66] - 24*s[67] - (904*s[68])/15 + (676*s[69])/5 + 16*s[70] + 
       (24*s[71])/5 - 36*s[72] - (2684*s[73])/5 + 37*s[74] - 41*s[75] - 
       (1228*s[76])/3 - (622*s[77])/5 + 452*s[78] + (3392*s[79])/15 + 
       (16318*s[80])/45 + (23984*s[82])/5 + 24*s[83] + (1552*s[85])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      ((2042*s[2])/5 + (861*s[3])/5 + (30188*s[4])/5 + (586973*s[5])/110 + 
       (1371219*s[6])/110 + (217980569*s[7])/1980 - (11815273*s[8])/1485 - 
       (12538922*s[9])/135 - (1709665*s[10])/54 - (119129053*s[11])/990 - 
       (63626089*s[12])/495 - (5073061*s[13])/66 - (8596304*s[14])/495 - 
       (9061741*s[15])/60 - (41696827*s[16])/220 - (75867334*s[17])/495 - 
       (7742464*s[18])/405 - (7755737*s[19])/405 - (986296259*s[20])/4455 - 
       (364594277*s[21])/4455 + (102694105*s[22])/1782 + 
       (74505251*s[23])/660 + (2211661519*s[24])/17820 - 
       (2420122907*s[25])/16038 + (6784947289*s[26])/80190 - (46*s[30])/5 + 
       (488*s[31])/5 - (377*s[32])/5 - (297*s[33])/10 - (754*s[34])/5 + 
       (24*s[35])/5 - (5506*s[36])/15 + (1151*s[37])/5 + (17704*s[38])/5 - 
       (136113*s[39])/10 + (457463*s[40])/30 - (120809*s[41])/10 + 
       (564613*s[42])/30 + (423539*s[43])/30 - (818389*s[44])/60 + 
       (162683*s[45])/10 - (1810132*s[46])/15 + (413939*s[47])/180 + 
       (198709*s[48])/36 - (11508749*s[49])/180 + (281075*s[50])/3 + 
       (426257*s[51])/36 + (1711663*s[52])/180 - (5969683*s[53])/90 - 
       (9608*s[54])/3 - (8428147*s[55])/20 - (3792235*s[56])/36 + 
       (3598655*s[57])/54 - (56799107*s[58])/324 + (297681529*s[59])/1620 + 
       (1091666009*s[60])/1080 - (761520847*s[61])/14580 - 88*s[68] + 
       168*s[69] + 8*s[70] - (62*s[71])/5 + (56*s[72])/5 - 348*s[73] - 
       (2*s[74])/5 - (6*s[75])/5 - (1104*s[76])/5 - (644*s[77])/5 + 
       (1396*s[78])/5 + (4296*s[79])/5 - 210*s[80] + (12412*s[82])/5 + 
       (24*s[83])/5 + (1152*s[84])/5 + (1832*s[85])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*((2251*s[2])/10 + (4897*s[3])/20 + 
       (166289*s[4])/40 + (408099*s[5])/110 + (3802419*s[6])/440 + 
       (597848903*s[7])/7920 - (13074697*s[8])/2376 - (8627762*s[9])/135 - 
       (11276533*s[10])/540 - (655898357*s[11])/7920 - 
       (176527243*s[12])/1980 - (47131259*s[13])/880 - 
       (91986857*s[14])/7920 - (24508723*s[15])/240 - (85154207*s[16])/660 - 
       (811837819*s[17])/7920 - (11070929*s[18])/810 - 
       (38912821*s[19])/3240 - (5412446929*s[20])/35640 - 
       (4003924439*s[21])/71280 + (2826371707*s[22])/71280 + 
       (17838609*s[23])/220 + (746532311*s[24])/8910 - 
       (33391832929*s[25])/320760 + (3741808253*s[26])/64152 - 4*s[30] + 
       72*s[31] - 28*s[32] + (781*s[33])/20 - (662*s[34])/5 - 13*s[35] - 
       (3872*s[36])/15 + (9359*s[37])/30 + (12466*s[38])/5 - 
       (185431*s[39])/20 + (620429*s[40])/60 - (158947*s[41])/20 + 
       (769939*s[42])/60 + (1214591*s[43])/132 - (1472611*s[44])/165 + 
       (7517623*s[45])/660 - (26935153*s[46])/330 + (2120557*s[47])/990 + 
       (5561213*s[48])/1980 - (40575301*s[49])/990 + (10309969*s[50])/165 + 
       (16423663*s[51])/1980 + (2761985*s[52])/396 - (87485473*s[53])/1980 - 
       (195607*s[54])/330 - (186661009*s[55])/660 - (4048934*s[56])/55 + 
       (109653443*s[57])/1980 - (730184513*s[58])/5940 + 
       (751471571*s[59])/5940 + (8041950311*s[60])/11880 - 
       (53737397*s[61])/1485 - (2*s[64])/5 + (2*s[65])/5 + (32*s[66])/5 - 
       (48*s[67])/5 - (168*s[68])/5 + 38*s[69] + (26*s[70])/5 - 
       (21*s[71])/5 - (2*s[72])/5 - (646*s[73])/5 - (13*s[74])/10 - 
       (7*s[75])/10 - (762*s[76])/5 - 45*s[77] + (768*s[78])/5 + 
       (3052*s[79])/5 - (1291*s[80])/15 + (12412*s[82])/5 + (24*s[83])/5 + 
       (1152*s[84])/5 + (1832*s[85])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*((394*s[2])/5 - (1502*s[3])/5 - 
       (22151*s[4])/10 + (50315*s[5])/22 + (179488*s[6])/55 + 
       (5856559*s[7])/990 + (1025186*s[8])/495 - (336218*s[9])/45 - 
       (240899*s[10])/90 - (723124*s[11])/165 - (134608*s[12])/165 - 
       (157276*s[13])/495 - (5274551*s[14])/330 - (707377*s[15])/90 - 
       (4141813*s[16])/495 - (1425745*s[17])/99 - (834449*s[18])/135 + 
       (780266*s[19])/135 - (34443571*s[20])/1485 - (1652653*s[21])/99 + 
       (1892641*s[22])/594 - (5127467*s[23])/990 + (3848003*s[24])/2970 + 
       (491461*s[25])/198 + (1613737*s[26])/198 - (4*s[28])/5 + 
       (432*s[29])/5 - (138*s[30])/5 + 104*s[31] + (124*s[32])/5 - 
       (213*s[33])/2 + 6*s[34] + 140*s[35] + (1772*s[36])/5 + (148*s[37])/3 - 
       (1062*s[38])/5 + (11639*s[39])/5 - (9727*s[40])/5 + (9674*s[41])/5 - 
       (18846*s[42])/5 - (43381*s[43])/55 + (114756*s[44])/55 + 
       (476402*s[45])/165 - (468551*s[46])/165 - (402979*s[47])/330 + 
       (797231*s[48])/330 + (3217141*s[49])/330 - (108498*s[50])/55 - 
       (599311*s[51])/330 - (22111*s[52])/165 + (199751*s[53])/495 + 
       (1333861*s[54])/165 - (1336897*s[55])/110 - (17358379*s[56])/990 - 
       (1171961*s[57])/297 - (69704543*s[58])/8910 + (11505287*s[59])/8910 + 
       (19878103*s[60])/1980 - (635065853*s[61])/80190 - (4*s[64])/5 + 
       (96*s[65])/5 + 80*s[66] - 120*s[67] + (24*s[68])/5 - (1364*s[69])/5 - 
       (36*s[70])/5 - (204*s[71])/5 - (392*s[72])/5 + (584*s[73])/5 + 
       (366*s[74])/5 - (374*s[75])/5 - (552*s[76])/5 + (516*s[77])/5 - 
       (556*s[78])/5 + (2704*s[79])/5 - (4556*s[80])/15 + (5196*s[82])/5 + 
       (12*s[83])/5 + (1008*s[84])/5 + 616*s[85])*\[Zeta][2]^2 + 
     HPL[{0, 1, 1}, 1 - w]*((2641*s[2])/3 + (2957*s[3])/30 + 
       (543547*s[4])/60 + (1853348*s[5])/165 + (2929705*s[6])/132 + 
       (2340374327*s[7])/11880 - (233230831*s[8])/17820 - 
       (27156581*s[9])/162 - (47162651*s[10])/810 - (2549620813*s[11])/
        11880 - (672283553*s[12])/2970 - (320622079*s[13])/2376 - 
       (433678453*s[14])/11880 - (295006813*s[15])/1080 - 
       (506043619*s[16])/1485 - (371478383*s[17])/1320 - 
       (85209659*s[18])/2430 - (165581213*s[19])/4860 - 
       (21472401953*s[20])/53460 - (3274547279*s[21])/21384 + 
       (11052091007*s[22])/106920 + (281260589*s[23])/1485 + 
       (5956709837*s[24])/26730 - (31871006924*s[25])/120285 + 
       (18393799181*s[26])/120285 + (128*s[29])/5 - 54*s[30] + 
       (3544*s[31])/15 - (2078*s[32])/15 - (474*s[33])/5 - (6142*s[34])/15 - 
       34*s[35] - (2872*s[36])/3 + (38396*s[37])/45 + (33206*s[38])/5 - 
       (226371*s[39])/10 + (745601*s[40])/30 - (569983*s[41])/30 + 
       (894977*s[42])/30 + (8233079*s[43])/330 - (1496707*s[44])/66 + 
       (15531344*s[45])/495 - (212492263*s[46])/990 + (2638259*s[47])/990 + 
       (5378839*s[48])/495 - (110403317*s[49])/990 + (27238516*s[50])/165 + 
       (8805307*s[51])/495 + (7587476*s[52])/495 - (175954516*s[53])/1485 - 
       (4842668*s[54])/495 - (376983752*s[55])/495 - (563672233*s[56])/2970 + 
       (864095557*s[57])/8910 - (8268810299*s[58])/26730 + 
       (4362461284*s[59])/13365 + (10754802337*s[60])/5940 - 
       (45393375397*s[61])/481140 - (4*s[64])/5 - (12*s[65])/5 + 16*s[66] - 
       24*s[67] - (2488*s[68])/15 + 256*s[69] + 32*s[70] - (16*s[71])/5 - 
       60*s[72] - (3164*s[73])/5 + (367*s[74])/5 - 79*s[75] - 
       (8324*s[76])/15 - 226*s[77] + 636*s[78] + (8096*s[79])/15 + 
       (1424*s[80])/9 + (34936*s[82])/5 + 24*s[83] + 640*s[85])*
      \[Zeta][2]^2 + HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-734*s[2])/15 + (1301*s[3])/15 - (1802*s[4])/3 + (671777*s[5])/330 + 
       (1536617*s[6])/330 + (109704851*s[7])/5940 + (4972373*s[8])/8910 - 
       (6948241*s[9])/405 - (5157571*s[10])/810 - (107368243*s[11])/5940 - 
       (48134497*s[12])/2970 - (56268599*s[13])/5940 - 
       (92927071*s[14])/5940 - (13680733*s[15])/540 - (90174571*s[16])/2970 - 
       (61189363*s[17])/1980 - (1855540*s[18])/243 + (6017317*s[19])/2430 - 
       (1245467123*s[20])/26730 - (1230158719*s[21])/53460 + 
       (505090877*s[22])/53460 + (32486279*s[23])/2970 + 
       (86546033*s[24])/5346 - (803459275*s[25])/48114 + 
       (4090464611*s[26])/240570 + (328*s[29])/5 + (22*s[30])/5 + 
       (476*s[31])/15 + (542*s[32])/15 - (1337*s[33])/10 + (1858*s[34])/15 + 
       (876*s[35])/5 + (2193*s[36])/5 - (6983*s[37])/45 - (1857*s[38])/5 + 
       (40227*s[39])/20 - (77093*s[40])/60 + (72347*s[41])/60 - 
       (59941*s[42])/20 - (53469*s[43])/220 + (124623*s[44])/88 + 
       (1452766*s[45])/495 - (12156541*s[46])/1980 - (5503387*s[47])/3960 + 
       (12803231*s[48])/3960 + (31264681*s[49])/3960 + (36994*s[50])/55 - 
       (1647047*s[51])/1320 + (931597*s[52])/3960 - (3566341*s[53])/2970 + 
       (4640279*s[54])/495 - (85687223*s[55])/3960 - (49549051*s[56])/2376 - 
       (17915233*s[57])/8910 - (1289257357*s[58])/106920 + 
       (541044211*s[59])/106920 + (289571999*s[60])/7920 - 
       (1815563855*s[61])/192456 - (4*s[64])/5 + (84*s[65])/5 + 
       (336*s[66])/5 - (528*s[67])/5 - (536*s[68])/15 - (1116*s[69])/5 - 
       (68*s[70])/5 - (284*s[71])/5 - 56*s[72] + (934*s[73])/5 + 
       (346*s[74])/5 - (354*s[75])/5 - (436*s[76])/15 + (276*s[77])/5 - 
       (742*s[78])/5 + (12364*s[79])/15 - (20164*s[80])/45 - (8*s[82])/5 - 
       (12*s[83])/5 + (1296*s[84])/5 + (3304*s[85])/5)*\[Zeta][2]^2 + 
     HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*((12308*s[2])/15 - (4973*s[3])/15 + 
       (11582*s[4])/3 + (320113*s[5])/33 + (3013223*s[6])/165 + 
       (811546039*s[7])/5940 - (26970529*s[8])/4455 - (19304549*s[9])/162 - 
       (16654651*s[10])/405 - (872654807*s[11])/5940 - 
       (224119303*s[12])/1485 - (533894989*s[13])/5940 - 
       (245239613*s[14])/5940 - (20427067*s[15])/108 - 
       (348556789*s[16])/1485 - (399011681*s[17])/1980 - 
       (72673199*s[18])/2430 - (38794453*s[19])/2430 - 
       (7771999141*s[20])/26730 - (1270977523*s[21])/10692 + 
       (3849163051*s[22])/53460 + (180542981*s[23])/1485 + 
       (1977397837*s[24])/13365 - (83171233127*s[25])/481140 + 
       (52801931063*s[26])/481140 + 88*s[29] - (302*s[30])/5 + 
       (5128*s[31])/15 - (280*s[32])/3 + (5*s[33])/2 - (6646*s[34])/15 + 
       (876*s[35])/5 - (3154*s[36])/15 + (24527*s[37])/45 + (19452*s[38])/5 - 
       (126881*s[39])/10 + (146997*s[40])/10 - (330679*s[41])/30 + 
       (492811*s[42])/30 + (5111197*s[43])/330 - (8574041*s[44])/660 + 
       (22466293*s[45])/990 - (14100850*s[46])/99 + (530389*s[47])/660 + 
       (1216871*s[48])/132 - (41724623*s[49])/660 + (17380388*s[50])/165 + 
       (20299457*s[51])/1980 + (2193951*s[52])/220 - (113824534*s[53])/1485 + 
       (1347682*s[54])/495 - (999573017*s[55])/1980 - 
       (838923497*s[56])/5940 + (57357988*s[57])/891 - 
       (11194214401*s[58])/53460 + (2287328897*s[59])/10692 + 
       (14008205929*s[60])/11880 - (8302508347*s[61])/120285 + 
       (112*s[65])/5 + (464*s[66])/5 - (672*s[67])/5 - (416*s[68])/3 - 
       40*s[69] + (12*s[70])/5 - (248*s[71])/5 - (592*s[72])/5 - 
       (2176*s[73])/5 + (564*s[74])/5 - (568*s[75])/5 - (1720*s[76])/3 - 
       (544*s[77])/5 + (1988*s[78])/5 + (17456*s[79])/15 - (15038*s[80])/45 + 
       (21732*s[82])/5 + 12*s[83] + (1008*s[84])/5 + (4568*s[85])/5)*
      \[Zeta][2]^2 + HPL[{0, 0, 1}, 1 - w]*((3558*s[2])/5 - (5227*s[3])/20 + 
       (47429*s[4])/8 + (535981*s[5])/88 + (654397*s[6])/55 + 
       (309824161*s[7])/2640 - (21687209*s[8])/2970 - (107872117*s[9])/1080 - 
       (39056861*s[10])/1080 - (1014873863*s[11])/7920 - 
       (66437854*s[12])/495 - (127041637*s[13])/1584 - 
       (147556991*s[14])/7920 - (119950231*s[15])/720 - 
       (814619833*s[16])/3960 - (1355976059*s[17])/7920 - 
       (11590213*s[18])/648 - (79697533*s[19])/3240 - 
       (8457966871*s[20])/35640 - (6268565483*s[21])/71280 + 
       (4420421017*s[22])/71280 + (208605979*s[23])/1980 + 
       (2444753917*s[24])/17820 - (102326179313*s[25])/641520 + 
       (57144102689*s[26])/641520 - (4*s[28])/5 + (76*s[29])/5 - 
       (186*s[30])/5 + 251*s[31] - (614*s[32])/5 + (1271*s[33])/10 - 
       (2449*s[34])/5 - 83*s[35] - 751*s[36] + (9017*s[37])/20 + 
       (21229*s[38])/5 - (284013*s[39])/20 + (307433*s[40])/20 - 
       (247561*s[41])/20 + (368263*s[42])/20 + (3545163*s[43])/220 - 
       (6510543*s[44])/440 + (8062179*s[45])/440 - (58085079*s[46])/440 + 
       (9413*s[47])/33 + (5323423*s[48])/660 - (12590434*s[49])/165 + 
       (1163662*s[50])/11 + (6879721*s[51])/660 + (10384777*s[52])/1320 - 
       (99078167*s[53])/1320 - (809719*s[54])/55 - (78799466*s[55])/165 - 
       (70277029*s[56])/660 + (31177727*s[57])/990 - (2120321677*s[58])/
        11880 + (1163679239*s[59])/5940 + (1815868735*s[60])/1584 - 
       (11375773847*s[61])/213840 - (4*s[62])/5 + 16*s[63] - (8*s[64])/5 + 
       3*s[65] + 8*s[66] - 18*s[67] - (563*s[68])/5 + (1316*s[69])/5 + 
       (51*s[70])/5 + (39*s[71])/5 - (228*s[72])/5 - (3196*s[73])/5 + 
       (177*s[74])/5 - (189*s[75])/5 - 468*s[76] - (733*s[77])/5 + 
       (2601*s[78])/5 + (2302*s[79])/5 + (3027*s[80])/10 + (27262*s[82])/5 + 
       (84*s[83])/5 + (216*s[84])/5 - (772*s[85])/5 + (48*s[86])/5)*
      \[Zeta][2]^2 + HPL[{1}, 1 - w]*((-816*s[2])/5 + (996*s[3])/5 + 
       (15378*s[4])/5 - (11394*s[5])/11 - (22788*s[6])/55 + 
       (428909*s[7])/33 - (1854392*s[8])/495 - (398086*s[9])/45 - 
       (28154*s[10])/45 - (2755909*s[11])/165 - (3841292*s[12])/165 - 
       (797669*s[13])/55 + (423847*s[14])/33 - (69047*s[15])/5 - 
       (1148478*s[16])/55 - (935369*s[17])/165 + (114742*s[18])/135 - 
       (721978*s[19])/135 - (20331046*s[20])/1485 + (2270159*s[21])/1485 + 
       (2021443*s[22])/297 + (387104*s[23])/11 + (22603844*s[24])/1485 - 
       (384317179*s[25])/13365 + (101953051*s[26])/13365 - (384*s[29])/5 + 
       (144*s[30])/5 - (384*s[31])/5 + (72*s[32])/5 + 60*s[33] - 
       (48*s[34])/5 - (768*s[35])/5 - (1648*s[36])/5 + (1028*s[37])/5 + 
       (6048*s[38])/5 - 5760*s[39] + (28384*s[40])/5 - 4512*s[41] + 
       (43664*s[42])/5 + (175664*s[43])/55 - (253778*s[44])/55 + 
       (49718*s[45])/55 - (1278922*s[46])/55 + (542668*s[47])/165 - 
       (520724*s[48])/165 - (3164308*s[49])/165 + (1087976*s[50])/55 + 
       (925868*s[51])/165 + (620402*s[52])/165 - (2132234*s[53])/165 - 
       (193696*s[54])/55 - (3833928*s[55])/55 - (120016*s[56])/11 + 
       (2579652*s[57])/55 - (19979738*s[58])/495 + (21599084*s[59])/495 + 
       (92106161*s[60])/495 - (24388927*s[61])/4455 - (96*s[65])/5 - 
       (384*s[66])/5 + (576*s[67])/5 + (288*s[68])/5 + (864*s[69])/5 + 
       (48*s[70])/5 + (192*s[71])/5 + 96*s[72] - (192*s[73])/5 - 
       (456*s[74])/5 + (456*s[75])/5 + (432*s[76])/5 - (96*s[77])/5 + 
       (528*s[78])/5 - (864*s[79])/5 + (904*s[80])/5 - 480*s[82] - 384*s[85])*
      \[Zeta][2]^3 + HPL[{1}, 1 - v]*((-256*s[1])/35 - (1076*s[2])/7 + 
       (524*s[3])/21 + (75042*s[4])/35 - (298972*s[5])/165 - 
       (2585972*s[6])/1155 - (172687*s[7])/99 - (8912768*s[8])/3465 + 
       (158972*s[9])/45 + (858514*s[10])/315 + (2206*s[11])/231 - 
       (1692869*s[12])/385 - (9956957*s[13])/3465 + (774179*s[14])/55 + 
       (1430263*s[15])/315 + (1567348*s[16])/495 + (39715418*s[17])/3465 + 
       (3629936*s[18])/945 - (3245282*s[19])/945 + (153500596*s[20])/10395 + 
       (670371*s[21])/55 - (1301743*s[22])/1485 + (11012531*s[23])/693 - 
       (4963009*s[24])/10395 - (45466219*s[25])/6237 - 
       (26164349*s[26])/6237 + (16*s[28])/5 - (384*s[29])/5 + (144*s[30])/5 - 
       (408*s[31])/5 - (928*s[32])/35 + (3056*s[33])/35 - (24*s[34])/5 - 
       (768*s[35])/5 - (10704*s[36])/35 + (1588*s[37])/21 + 
       (40024*s[38])/105 - (50348*s[39])/15 + (22524*s[40])/7 - 
       (97416*s[41])/35 + (587824*s[42])/105 + (452212*s[43])/385 - 
       (1038676*s[44])/385 - (73834*s[45])/55 - (7693118*s[46])/1155 + 
       (7915892*s[47])/3465 - (11301592*s[48])/3465 - (36273332*s[49])/3465 + 
       (3133024*s[50])/385 + (1711748*s[51])/495 + (5865088*s[52])/3465 - 
       (17329714*s[53])/3465 - (1732468*s[54])/385 - (9113744*s[55])/495 + 
       (4537816*s[56])/1155 + (85528504*s[57])/3465 - (41142758*s[58])/3465 + 
       (54734104*s[59])/3465 + (552410833*s[60])/10395 + 
       (161261531*s[61])/93555 - (592*s[63])/35 - (96*s[65])/5 - 
       (384*s[66])/5 + (576*s[67])/5 + (1504*s[68])/35 + (8224*s[69])/35 - 
       (944*s[70])/105 + (192*s[71])/5 + 96*s[72] - (3984*s[73])/35 - 
       (456*s[74])/5 + (456*s[75])/5 + (2704*s[76])/35 - (4352*s[77])/105 + 
       (528*s[78])/5 - (1056*s[79])/5 + 216*s[80] - 480*s[82] - 384*s[85])*
      \[Zeta][2]^3 + HPL[{1}, 1 - u]*((-1024*s[2])/7 + (474*s[3])/5 + 
       (70451*s[4])/35 - (706672*s[5])/385 - (935609*s[6])/385 - 
       (792637*s[7])/198 - (71383787*s[8])/31185 + (15451286*s[9])/2835 + 
       (10226632*s[10])/2835 + (46481383*s[11])/20790 - 
       (23356913*s[12])/10395 - (7338565*s[13])/4158 + 
       (309927397*s[14])/20790 + (15772703*s[15])/1890 + 
       (79091699*s[16])/10395 + (65137241*s[17])/4158 + 
       (34029148*s[18])/8505 - (4861487*s[19])/1701 + 
       (1861303919*s[20])/93555 + (2613865687*s[21])/187110 - 
       (78050971*s[22])/37422 + (30742840*s[23])/2079 - 
       (65796056*s[24])/18711 - (3844603771*s[25])/841995 - 
       (4926036287*s[26])/841995 - (64*s[27])/35 - (2512*s[29])/35 + 
       (144*s[30])/5 - (1928*s[31])/35 + (24*s[32])/5 + (4944*s[33])/35 - 
       (344*s[34])/5 - (1016*s[35])/7 - (29444*s[36])/105 + 
       (35188*s[37])/315 + (48928*s[38])/105 - (21225*s[39])/7 + 
       (39197*s[40])/15 - (232243*s[41])/105 + (514667*s[42])/105 + 
       (280283*s[43])/385 - (1593749*s[44])/770 - (5038112*s[45])/3465 - 
       (14001181*s[46])/3465 + (16644283*s[47])/6930 - 
       (24925091*s[48])/6930 - (57631969*s[49])/6930 + (6314656*s[50])/1155 + 
       (20945557*s[51])/6930 + (1539083*s[52])/990 - (33307301*s[53])/10395 - 
       (14837644*s[54])/3465 - (54277309*s[55])/6930 + 
       (119188351*s[56])/20790 + (757515202*s[57])/31185 - 
       (1648952623*s[58])/187110 + (313126411*s[59])/26730 + 
       (236952907*s[60])/8316 + (4389747581*s[61])/1683990 + (16*s[62])/5 - 
       (64*s[64])/35 - (96*s[65])/5 - (3008*s[66])/35 + (576*s[67])/5 + 
       (2264*s[68])/35 + (6784*s[69])/35 + (32*s[70])/105 + (192*s[71])/5 + 
       96*s[72] - (192*s[73])/5 - (456*s[74])/5 + (456*s[75])/5 + 
       (2272*s[76])/35 - (1168*s[77])/105 + (920*s[78])/7 - (7792*s[79])/21 + 
       (84992*s[80])/315 - (2*s[81])/35 - 480*s[82] - 384*s[85])*
      \[Zeta][2]^3 + Omega2[w, u, v]*(-s[35] - (16*s[36])/3 + (73*s[37])/3 - 
       9*s[38] - (49*s[39])/4 - (293*s[40])/12 + (189*s[41])/4 + 
       (635*s[42])/12 - (10627*s[43])/132 + (5261*s[44])/66 - 
       (10418*s[45])/33 + (63579*s[46])/44 + (52249*s[47])/396 - 
       (53785*s[48])/198 + (180029*s[49])/396 - (83975*s[50])/66 + 
       (9535*s[51])/198 + (21245*s[52])/396 + (39583*s[53])/44 + 
       (5281*s[54])/22 + (142927*s[55])/22 + (615787*s[56])/396 + 
       (2365481*s[57])/1188 + (5183729*s[58])/3564 - (1469945*s[59])/891 - 
       (32372819*s[60])/2376 + (55482337*s[61])/64152 - s[65] - 2*s[66] + 
       2*s[67] + 8*s[68] - 2*s[70] + 2*s[71] + 2*s[72] - (3*s[74])/2 + 
       (3*s[75])/2 - 2*s[76] + 5*s[77] + 4*s[78] - (28*s[80])/3)*\[Zeta][3] + 
     Omega2[v, w, u]*(s[35] + (16*s[36])/3 - (73*s[37])/3 + 9*s[38] + 
       (49*s[39])/4 + (293*s[40])/12 - (189*s[41])/4 - (635*s[42])/12 + 
       (10627*s[43])/132 - (5261*s[44])/66 + (10418*s[45])/33 - 
       (63579*s[46])/44 - (52249*s[47])/396 + (53785*s[48])/198 - 
       (180029*s[49])/396 + (83975*s[50])/66 - (9535*s[51])/198 - 
       (21245*s[52])/396 - (39583*s[53])/44 - (5281*s[54])/22 - 
       (142927*s[55])/22 - (615787*s[56])/396 - (2365481*s[57])/1188 - 
       (5183729*s[58])/3564 + (1469945*s[59])/891 + (32372819*s[60])/2376 - 
       (55482337*s[61])/64152 + s[65] + 2*s[66] - 2*s[67] - 8*s[68] + 
       2*s[70] - 2*s[71] - 2*s[72] + (3*s[74])/2 - (3*s[75])/2 + 2*s[76] - 
       5*s[77] - 4*s[78] + (28*s[80])/3)*\[Zeta][3] + 
     HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*((11*s[2])/2 + (235*s[4])/8 + 
       (793*s[5])/66 + (10069*s[6])/176 + (575717*s[7])/1584 - 
       (7727*s[8])/176 - (4865*s[9])/16 - (1003*s[10])/24 - 
       (444085*s[11])/1056 - (179299*s[12])/352 - (492913*s[13])/1584 + 
       (12251*s[14])/528 - (52165*s[15])/144 - (851167*s[16])/1584 - 
       (886207*s[17])/3168 - (49117*s[18])/432 + (11461*s[19])/432 - 
       (189488*s[20])/297 - (1132471*s[21])/4752 + (37855*s[22])/198 + 
       (2407147*s[23])/3168 + (918019*s[24])/3168 - (47895911*s[25])/85536 + 
       (25273439*s[26])/85536 + (9*s[33])/2 - 3*s[34] - s[35]/4 + 
       (2*s[36])/3 + (73*s[37])/12 + (37*s[38])/4 - (3043*s[39])/48 + 
       (2747*s[40])/48 - (657*s[41])/16 + (1707*s[42])/16 + 
       (2031*s[43])/176 - (6451*s[44])/528 - (1730*s[45])/33 + 
       (10779*s[46])/176 + (56875*s[47])/792 - (158137*s[48])/1584 + 
       (1039*s[49])/99 - (41075*s[50])/264 + (131765*s[51])/1584 + 
       (68279*s[52])/792 + (184405*s[53])/1584 + (54563*s[54])/264 + 
       (1585535*s[55])/1584 + (24935*s[56])/792 + (7733129*s[57])/4752 - 
       (2622053*s[58])/7128 + (2661709*s[59])/14256 - (7884869*s[60])/4752 + 
       (15932431*s[61])/256608 - s[65]/4 - s[66]/2 + s[67]/2 + 2*s[68] - 
       s[70]/2 + s[71]/2 + s[72]/2 - (3*s[74])/8 + (3*s[75])/8 - 
       (7*s[76])/2 + (5*s[77])/4 + s[78] - (4*s[80])/3 - 23*s[82])*
      \[Zeta][3] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      ((281*s[4])/8 + (1687*s[5])/264 + (10663*s[6])/176 + 
       (522389*s[7])/1584 - (220333*s[8])/4752 - (114851*s[9])/432 - 
       (5219*s[10])/216 - (1227337*s[11])/3168 - (1540211*s[12])/3168 - 
       (3292*s[13])/11 + (19625*s[14])/792 - (44495*s[15])/144 - 
       (126353*s[16])/264 - (689285*s[17])/3168 - (140779*s[18])/1296 + 
       (48067*s[19])/1296 - (3985051*s[20])/7128 - (782993*s[21])/3564 + 
       (2433367*s[22])/14256 + (776855*s[23])/1056 + (7129985*s[24])/28512 - 
       (132093139*s[25])/256608 + (72650623*s[26])/256608 - (3*s[33])/4 - 
       (3*s[35])/4 + (7*s[36])/6 - (97*s[37])/6 + (187*s[38])/12 - 
       (1085*s[39])/16 + (3991*s[40])/48 - (1169*s[41])/16 + 
       (4573*s[42])/48 + (10811*s[43])/176 - (35813*s[44])/528 + 
       (30887*s[45])/264 - (393037*s[46])/528 + (11107*s[47])/792 + 
       (67919*s[48])/1584 - (207385*s[49])/792 + (46825*s[50])/88 + 
       (95819*s[51])/1584 + (26923*s[52])/396 - (194225*s[53])/528 + 
       (24229*s[54])/264 - (3960503*s[55])/1584 - (339301*s[56])/396 + 
       (3726067*s[57])/4752 - (4478819*s[58])/3564 + (16868261*s[59])/14256 + 
       (27396241*s[60])/4752 - (109493539*s[61])/256608 + s[65]/4 + s[66]/2 - 
       s[67]/2 - 2*s[68] + s[70]/2 - s[71]/2 - s[72]/2 + (3*s[74])/8 - 
       (3*s[75])/8 - (5*s[76])/2 - (5*s[77])/4 - s[78] + (5*s[80])/2 - 
       23*s[82])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      ((-57*s[2])/2 - (1209*s[3])/4 - (5565*s[4])/8 - (11105*s[5])/22 - 
       (109959*s[6])/88 - (15706343*s[7])/1584 + (634159*s[8])/792 + 
       (72763*s[9])/9 + (89093*s[10])/36 + (1949993*s[11])/176 + 
       (1597691*s[12])/132 + (11827903*s[13])/1584 + (118389*s[14])/176 + 
       (1915985*s[15])/144 + (1668970*s[16])/99 + (20674175*s[17])/1584 + 
       (34943*s[18])/18 + (119621*s[19])/72 + (15073429*s[20])/792 + 
       (33802817*s[21])/4752 - (23832293*s[22])/4752 - (1273703*s[23])/99 - 
       (12838607*s[24])/1188 + (306320545*s[25])/21384 - 
       (168017725*s[26])/21384 - 6*s[30] - 20*s[31] + 2*s[32] - 
       (115*s[33])/4 + 32*s[34] + 7*s[35] + (131*s[36])/3 - (163*s[37])/3 - 
       410*s[38] + 1491*s[39] - (4490*s[40])/3 + 1040*s[41] - 
       (12389*s[42])/6 - (37435*s[43])/33 + (301067*s[44])/264 - 
       (75179*s[45])/66 + (598993*s[46])/66 - (608239*s[47])/792 + 
       (317345*s[48])/792 + (4109197*s[49])/792 - (425741*s[50])/66 - 
       (1057307*s[51])/792 - (973403*s[52])/792 + (1827493*s[53])/396 - 
       (14177*s[54])/66 + (2477339*s[55])/88 + (1963981*s[56])/264 - 
       (5377963*s[57])/396 + (4124143*s[58])/264 - (12499117*s[59])/792 - 
       (331244383*s[60])/4752 + (20374877*s[61])/5346 + 8*s[63] + 5*s[65] + 
       10*s[66] - 10*s[67] - 24*s[68] - 24*s[69] + 10*s[70] - 6*s[71] - 
       14*s[72] + 18*s[73] + (15*s[74])/2 - (15*s[75])/2 + 34*s[76] - 
       9*s[77] - 62*s[78] + 160*s[79] - (248*s[80])/3 - 6*s[82])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*((53*s[2])/2 + (697*s[3])/4 - 
       (823*s[4])/8 + (4557*s[5])/22 + (26891*s[6])/88 - (69749*s[7])/1584 + 
       (58831*s[8])/2376 + (4060*s[9])/27 + (11741*s[10])/108 + 
       (258259*s[11])/1584 + (188843*s[12])/396 + (695261*s[13])/1584 - 
       (1137305*s[14])/1584 - (41069*s[15])/144 - (20287*s[16])/99 - 
       (176843*s[17])/176 - (82913*s[18])/162 + (292991*s[19])/648 - 
       (3225841*s[20])/7128 - (11821079*s[21])/14256 - 
       (2856869*s[22])/14256 + (74801*s[23])/99 - (2892641*s[24])/3564 + 
       (38455517*s[25])/64152 + (22156711*s[26])/64152 + 16*s[30] + 8*s[31] - 
       (21*s[33])/4 - 20*s[34] - 5*s[35] - (109*s[36])/3 - 7*s[37] - 
       84*s[38] + (189*s[39])/2 - (1477*s[40])/6 + (559*s[41])/2 - 
       (241*s[42])/3 - (25193*s[43])/66 + (86939*s[44])/264 - 
       (3357*s[45])/11 + (153023*s[46])/66 + (286769*s[47])/792 - 
       (573211*s[48])/792 + (1339957*s[49])/792 - (161849*s[50])/66 - 
       (63815*s[51])/792 + (19177*s[52])/792 + (519107*s[53])/396 + 
       (59165*s[54])/66 + (853487*s[55])/88 + (1120423*s[56])/792 + 
       (3682903*s[57])/1188 + (14271929*s[58])/7128 - (17914913*s[59])/7128 - 
       (129880339*s[60])/4752 + (4107844*s[61])/8019 - 5*s[65] - 10*s[66] + 
       10*s[67] + 26*s[68] + 18*s[69] - 6*s[70] + 6*s[71] + 14*s[72] - 
       18*s[73] - (15*s[74])/2 + (15*s[75])/2 - 12*s[76] + 21*s[77] + 
       50*s[78] - 264*s[79] + 58*s[80] - 6*s[82])*\[Zeta][3] + 
     HPL[{1}, 1 - w]^4*((-73*s[4])/6 + (65*s[5])/33 - (881*s[6])/22 - 
       (2907*s[7])/44 - (397*s[8])/297 + (2177*s[9])/54 - (179*s[10])/54 + 
       (9766*s[11])/99 + (11744*s[12])/99 + (13012*s[13])/99 + 
       (5153*s[14])/198 + (527*s[15])/12 + (39313*s[16])/396 + 
       (10559*s[17])/198 - (4517*s[18])/162 + (5951*s[19])/162 + 
       (46795*s[20])/891 + (6041*s[21])/1782 - (28262*s[22])/891 + 
       (28747*s[23])/396 - (500339*s[24])/3564 + (2440661*s[25])/16038 - 
       (442132*s[26])/8019 - (7*s[37])/3 - (32*s[38])/3 + (73*s[39])/6 - 
       (73*s[40])/6 + (73*s[41])/6 - (17*s[42])/2 - (653*s[43])/22 + 
       (497*s[44])/22 - (181*s[45])/22 + (3139*s[46])/33 + (2221*s[47])/198 - 
       (5605*s[48])/99 + (9049*s[49])/99 - (444*s[50])/11 - (295*s[51])/22 - 
       (1109*s[52])/99 + (3301*s[53])/198 - (1526*s[54])/33 + 
       (35899*s[55])/198 + (1398*s[56])/11 - (4120*s[57])/99 + 
       (42187*s[58])/297 - (35485*s[59])/297 - (1133567*s[60])/1188 + 
       (27140*s[61])/891 + 4*s[82])*\[Zeta][3] + 
     HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*(2*s[1] - 27*s[2] - (339*s[3])/2 - 
       (2779*s[4])/4 - (6772*s[5])/11 - (61499*s[6])/44 - 
       (9788417*s[7])/792 + (1009969*s[8])/1188 + (279515*s[9])/27 + 
       (95722*s[10])/27 + (10816591*s[11])/792 + (5836429*s[12])/396 + 
       (7082435*s[13])/792 + (1505473*s[14])/792 + (1210003*s[15])/72 + 
       (8378767*s[16])/396 + (1480565*s[17])/88 + (353591*s[18])/162 + 
       (758597*s[19])/324 + (88482269*s[20])/3564 + (65294683*s[21])/7128 - 
       (45636875*s[22])/7128 - (2422873*s[23])/198 - (25586537*s[24])/1782 + 
       (552790793*s[25])/32076 - (308514467*s[26])/32076 - 8*s[29] + 
       4*s[30] - 4*s[31] - 3*s[32] + (9*s[33])/2 + 4*s[36] - 48*s[37] - 
       496*s[38] + 1521*s[39] - 1611*s[40] + 1191*s[41] - 2003*s[42] - 
       (15405*s[43])/11 + (29353*s[44])/22 - (15860*s[45])/11 + 
       (120435*s[46])/11 - (31921*s[47])/66 - (17995*s[48])/66 + 
       (414367*s[49])/66 - (90144*s[50])/11 - (29893*s[51])/22 - 
       (78995*s[52])/66 + (61004*s[53])/11 - (278*s[54])/11 + 
       (2345359*s[55])/66 + (589241*s[56])/66 - (1040197*s[57])/99 + 
       (10283107*s[58])/594 - (10445089*s[59])/594 - (36061789*s[60])/396 + 
       (23945659*s[61])/5346 + 8*s[63] - 4*s[68] - 4*s[70] + 12*s[73] - 
       2*s[77] + 18*s[82])*\[Zeta][3] + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      (3*s[2] - (33*s[3])/2 - (2411*s[4])/4 - (5972*s[5])/11 - 
       (51639*s[6])/44 - (9080195*s[7])/792 + (291053*s[8])/396 + 
       (176597*s[9])/18 + (30377*s[10])/9 + (3329683*s[11])/264 + 
       (1795601*s[12])/132 + (6513421*s[13])/792 + (521413*s[14])/264 + 
       (1123673*s[15])/72 + (7754453*s[16])/396 + (12200915*s[17])/792 + 
       (50653*s[18])/27 + (232787*s[19])/108 + (27871169*s[20])/1188 + 
       (2264915*s[21])/264 - (14450599*s[22])/2376 - (2020871*s[23])/198 - 
       (4015868*s[24])/297 + (56389925*s[25])/3564 - (31583243*s[26])/3564 - 
       4*s[29] + 6*s[30] + 8*s[31] + 22*s[33] - 10*s[34] + 2*s[35] + 
       (29*s[36])/3 - (122*s[37])/3 - 450*s[38] + (5555*s[39])/4 - 
       (18869*s[40])/12 + (4867*s[41])/4 - (22117*s[42])/12 - 
       (191959*s[43])/132 + (365165*s[44])/264 - (49058*s[45])/33 + 
       (494111*s[46])/44 - (164413*s[47])/792 - (522859*s[48])/792 + 
       (5123623*s[49])/792 - (289189*s[50])/33 - (974771*s[51])/792 - 
       (838007*s[52])/792 + (255817*s[53])/44 + (4080*s[54])/11 + 
       (10024325*s[55])/264 + (7326797*s[56])/792 - (4604993*s[57])/594 + 
       (120291343*s[58])/7128 - (124058365*s[59])/7128 - 
       (462075073*s[60])/4752 + (288994699*s[61])/64152 - 2*s[65] - 4*s[66] + 
       4*s[67] + 10*s[68] + 6*s[69] - 6*s[70] + 3*s[71] + 8*s[72] - 
       12*s[73] - 3*s[74] + 3*s[75] - 16*s[76] + 4*s[77] + 28*s[78] - 
       140*s[79] + (86*s[80])/3 + 18*s[82])*\[Zeta][3] + 
     HPL[{1}, 1 - v]^4*(-s[3]/12 + (31*s[4])/6 + (1462*s[5])/33 + 
       (14387*s[6])/264 + (325513*s[7])/792 - (39553*s[8])/2376 - 
       (80477*s[9])/216 - (3635*s[10])/27 - (665719*s[11])/1584 - 
       (624479*s[12])/1584 - (173533*s[13])/792 - (125369*s[14])/792 - 
       (46309*s[15])/72 - (586159*s[16])/792 - (124175*s[17])/176 - 
       (76579*s[18])/648 - (14225*s[19])/648 - (1676651*s[20])/1782 - 
       (3099671*s[21])/7128 + (771671*s[22])/3564 + (689815*s[23])/1584 + 
       (5897315*s[24])/14256 - (58217179*s[25])/128304 + 
       (44250007*s[26])/128304 - s[37]/2 + (37*s[38])/6 - (607*s[39])/12 + 
       (152*s[40])/3 - (143*s[41])/3 + (226*s[42])/3 + (1455*s[43])/44 - 
       (428*s[44])/11 + (2377*s[45])/44 - (4769*s[46])/11 + (2348*s[47])/99 - 
       (14401*s[48])/396 - (67655*s[49])/396 + (11131*s[50])/33 + 
       (7333*s[51])/198 + (6197*s[52])/198 - (104575*s[53])/396 + 
       (45*s[54])/11 - (323185*s[55])/198 - (24997*s[56])/66 + 
       (3699*s[57])/11 - (794137*s[58])/1188 + (214468*s[59])/297 + 
       (7908713*s[60])/2376 - (4241935*s[61])/21384 + 22*s[82])*\[Zeta][3] + 
     HPL[{1}, 1 - u]^4*((55*s[4])/6 + (83*s[5])/44 + (777*s[6])/88 + 
       (60985*s[7])/792 - (20479*s[8])/2376 - (12881*s[9])/216 - 
       (506*s[10])/27 - (137125*s[11])/1584 - (149081*s[12])/1584 - 
       (24875*s[13])/396 + (295*s[14])/792 - (8011*s[15])/72 - 
       (28441*s[16])/198 - (60917*s[17])/528 - (1417*s[18])/648 - 
       (16667*s[19])/648 - (1067729*s[20])/7128 - (182035*s[21])/3564 + 
       (141503*s[22])/3564 + (142543*s[23])/1584 + (1552271*s[24])/14256 - 
       (14743837*s[25])/128304 + (7604695*s[26])/128304 - (17*s[37])/6 - 
       (37*s[39])/6 + (37*s[40])/6 - (55*s[41])/6 + (15*s[42])/4 + 
       (571*s[43])/66 - (1813*s[44])/264 + (328*s[45])/33 - (5987*s[46])/66 - 
       (490*s[47])/99 - (94*s[48])/99 - (19277*s[49])/396 + 
       (9511*s[50])/132 - (5299*s[51])/396 - (2173*s[52])/792 - 
       (11087*s[53])/198 + (80*s[54])/33 - (38662*s[55])/99 - 
       (9811*s[56])/132 - (28217*s[57])/396 - (10321*s[58])/99 + 
       (16817*s[59])/132 + (2055305*s[60])/2376 - (802961*s[61])/21384 + 
       22*s[82])*\[Zeta][3] + HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      ((-157*s[2])/2 - (767*s[3])/4 - (43903*s[4])/8 - (508531*s[5])/132 - 
       (2664577*s[6])/264 - (142389109*s[7])/1584 + (53424079*s[8])/7128 + 
       (24498337*s[9])/324 + (3845707*s[10])/162 + (468493837*s[11])/4752 + 
       (32020766*s[12])/297 + (306843943*s[13])/4752 + 
       (55364185*s[14])/4752 + (51701189*s[15])/432 + 
       (180240667*s[16])/1188 + (555752983*s[17])/4752 + 
       (8007631*s[18])/486 + (25756283*s[19])/1944 + (3823953227*s[20])/
        21384 + (2758667935*s[21])/42768 - (2017162799*s[22])/42768 - 
       (61453099*s[23])/594 - (524756239*s[24])/5346 + 
       (3022454839*s[25])/24057 - (3317591285*s[26])/48114 + (74*s[29])/3 - 
       16*s[30] - (74*s[31])/3 + (29*s[32])/3 - (79*s[33])/4 + 30*s[34] + 
       21*s[35] + (692*s[36])/3 - (854*s[37])/3 - (8786*s[38])/3 + 
       (48999*s[39])/4 - (55107*s[40])/4 + (130697*s[41])/12 - 
       (213947*s[42])/12 - (483861*s[43])/44 + (3065063*s[44])/264 - 
       (415592*s[45])/33 + (13075961*s[46])/132 - (3120977*s[47])/792 - 
       (1488335*s[48])/792 + (39281699*s[49])/792 - (5025197*s[50])/66 - 
       (9841895*s[51])/792 - (7728097*s[52])/792 + (1167427*s[53])/22 - 
       (28715*s[54])/11 + (88727797*s[55])/264 + (70608013*s[56])/792 - 
       (50168983*s[57])/594 + (1092020921*s[58])/7128 - 
       (1106368361*s[59])/7128 - (3852128501*s[60])/4752 + 
       (697936607*s[61])/16038 - 4*s[63] + 3*s[65] + 12*s[66] - 
       (76*s[67])/3 - (38*s[68])/3 - 46*s[69] + (8*s[70])/3 + 4*s[71] - 
       46*s[72] + (118*s[73])/3 + (113*s[74])/2 - (113*s[75])/2 + 50*s[76] + 
       23*s[77] - (176*s[78])/3 - 1148*s[79] + 298*s[80] - 1606*s[82] - 
       10*s[83] - 492*s[84] - 440*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      ((-19*s[2])/2 - (1471*s[3])/12 - (16403*s[4])/8 - (147643*s[5])/132 - 
       (950359*s[6])/264 - (144510931*s[7])/4752 + (18457543*s[8])/7128 + 
       (8224747*s[9])/324 + (2599571*s[10])/324 + (158319049*s[11])/4752 + 
       (86562661*s[12])/2376 + (34691675*s[13])/1584 + 
       (17888659*s[14])/4752 + (5858611*s[15])/144 + (4534137*s[16])/88 + 
       (189863987*s[17])/4752 + (1303499*s[18])/243 + (9182417*s[19])/1944 + 
       (1283197493*s[20])/21384 + (909685525*s[21])/42768 - 
       (678165557*s[22])/42768 - (3500098*s[23])/99 - 
       (356060477*s[24])/10692 + (8236044815*s[25])/192456 - 
       (4467738857*s[26])/192456 + (20*s[29])/3 - 6*s[30] + (34*s[31])/3 + 
       (20*s[32])/3 - (3*s[33])/4 - 16*s[34] - (8*s[35])/3 + (800*s[36])/9 - 
       (565*s[37])/18 - (2984*s[38])/3 + (51701*s[39])/12 - 
       (178079*s[40])/36 + (48047*s[41])/12 - (225985*s[42])/36 - 
       (1687981*s[43])/396 + (3445451*s[44])/792 - (502280*s[45])/99 + 
       (5089009*s[46])/132 - (2282155*s[47])/2376 - (3636145*s[48])/2376 + 
       (44991847*s[49])/2376 - (2962354*s[50])/99 - (10344527*s[51])/2376 - 
       (7838957*s[52])/2376 + (4172791*s[53])/198 - (47203*s[54])/66 + 
       (11792257*s[55])/88 + (83301377*s[56])/2376 - (84054283*s[57])/3564 + 
       (1218386671*s[58])/21384 - (1247386219*s[59])/21384 - 
       (4554343957*s[60])/14256 + (1660692497*s[61])/96228 + 4*s[63] + 
       (7*s[65])/3 + (22*s[66])/3 - 12*s[67] + (62*s[68])/3 - (134*s[69])/3 + 
       8*s[70] + (20*s[71])/3 - 24*s[72] + (14*s[73])/3 + 21*s[74] - 
       21*s[75] - 6*s[76] + (100*s[77])/3 - (52*s[78])/3 - (1376*s[79])/3 + 
       (1343*s[80])/9 - 1134*s[82] - 13*s[83] - 190*s[84] - 352*s[85])*
      \[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      ((-49*s[2])/2 - (525*s[3])/4 - (23005*s[4])/8 - (85245*s[5])/44 - 
       (452173*s[6])/88 - (72765365*s[7])/1584 + (9063931*s[8])/2376 + 
       (2089517*s[9])/54 + (650569*s[10])/54 + (79975675*s[11])/1584 + 
       (21897881*s[12])/396 + (52608341*s[13])/1584 + (8800411*s[14])/1584 + 
       (8774395*s[15])/144 + (7671788*s[16])/99 + (31407991*s[17])/528 + 
       (1367443*s[18])/162 + (4379795*s[19])/648 + (649591187*s[20])/7128 + 
       (468682825*s[21])/14256 - (343984241*s[22])/14256 - 
       (5342767*s[23])/99 - (44494625*s[24])/891 + (4134425855*s[25])/64152 - 
       (2264158715*s[26])/64152 + 4*s[29] - 9*s[30] - 10*s[31] + 6*s[32] - 
       (25*s[33])/2 + 17*s[34] + (58*s[35])/3 + 135*s[36] - (760*s[37])/9 - 
       1564*s[38] + (12941*s[39])/2 - (43919*s[40])/6 + (17497*s[41])/3 - 
       (112451*s[42])/12 - (383227*s[43])/66 + (204473*s[44])/33 - 
       (2671819*s[45])/396 + (20800123*s[46])/396 - (769919*s[47])/396 - 
       (452657*s[48])/396 + (5242231*s[49])/198 - (446823*s[50])/11 - 
       (1282625*s[51])/198 - (509722*s[52])/99 + (16726231*s[53])/594 - 
       (142123*s[54])/198 + (35388869*s[55])/198 + (13953952*s[56])/297 - 
       (159163639*s[57])/3564 + (217068101*s[58])/2673 - 
       (881788199*s[59])/10692 - (1024364383*s[60])/2376 + 
       (4443906733*s[61])/192456 + (2*s[65])/3 + (20*s[66])/3 - 8*s[67] + 
       (34*s[68])/3 - (76*s[69])/3 + 8*s[70] + (16*s[71])/3 - 24*s[72] + 
       10*s[73] + (98*s[74])/3 - (98*s[75])/3 + (62*s[76])/3 + (58*s[77])/3 - 
       38*s[78] - 600*s[79] + (1138*s[80])/9 - 894*s[82] - 6*s[83] - 
       288*s[84] - 272*s[85])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*((-61*s[2])/2 - (279*s[3])/4 - (23835*s[4])/8 - 
       (88313*s[5])/44 - (471519*s[6])/88 - (76099175*s[7])/1584 + 
       (9360959*s[8])/2376 + (4374053*s[9])/108 + (1370773*s[10])/108 + 
       (83708615*s[11])/1584 + (11459759*s[12])/198 + (6124797*s[13])/176 + 
       (9362987*s[14])/1584 + (3056611*s[15])/48 + (21380989*s[16])/264 + 
       (98444305*s[17])/1584 + (2836075*s[18])/324 + (4636213*s[19])/648 + 
       (679139029*s[20])/7128 + (490816793*s[21])/14256 - 
       (360280969*s[22])/14256 - (4901681*s[23])/88 - 
       (373356497*s[24])/7128 + (4321781377*s[25])/64152 - 
       (2369482693*s[26])/64152 + 6*s[29] - 13*s[30] - 6*s[31] + 3*s[32] - 
       (15*s[33])/2 + 19*s[34] + (46*s[35])/3 + (403*s[36])/3 - 
       (997*s[37])/9 - 1622*s[38] + (13681*s[39])/2 - (46243*s[40])/6 + 
       (18403*s[41])/3 - (119683*s[42])/12 - (401867*s[43])/66 + 
       (856981*s[44])/132 - (2524717*s[45])/396 + (20821201*s[46])/396 - 
       (70573*s[47])/33 - (35296*s[48])/33 + (3653845*s[49])/132 - 
       (1336757*s[50])/33 - (301549*s[51])/44 - (713167*s[52])/132 + 
       (33177971*s[53])/1188 - (187357*s[54])/198 + (17386777*s[55])/99 + 
       (54722935*s[56])/1188 - (43893703*s[57])/891 + 
       (877225175*s[58])/10692 - (889831205*s[59])/10692 - 
       (255710489*s[60])/594 + (1075580857*s[61])/48114 + (8*s[65])/3 + 
       (32*s[66])/3 - 16*s[67] + (22*s[68])/3 - (112*s[69])/3 + 14*s[70] + 
       (7*s[71])/3 - 32*s[72] + 18*s[73] + (110*s[74])/3 - (110*s[75])/3 + 
       (50*s[76])/3 + (52*s[77])/3 - 40*s[78] - 704*s[79] + (1816*s[80])/9 - 
       894*s[82] - 6*s[83] - 288*s[84] - 272*s[85])*\[Zeta][3] + 
     HPL[{0, 1, 1, 1}, 1 - v]*((-85*s[2])/2 - (2409*s[3])/4 - 
       (30999*s[4])/8 - (56787*s[5])/22 - (587133*s[6])/88 - 
       (10349583*s[7])/176 + (431485*s[8])/88 + (196883*s[9])/4 + 
       (58009*s[10])/4 + (11579105*s[11])/176 + (3236821*s[12])/44 + 
       (7858471*s[13])/176 + (979345*s[14])/176 + (3627887*s[15])/48 + 
       (4300583*s[16])/44 + (12585339*s[17])/176 + (134549*s[18])/12 + 
       (204263*s[19])/24 + (30448595*s[20])/264 + (22110277*s[21])/528 - 
       (5405699*s[22])/176 - (3213467*s[23])/44 - (1410223*s[24])/22 + 
       (100514225*s[25])/1188 - (54861311*s[26])/1188 - 13*s[30] + 16*s[31] - 
       43*s[32] + (99*s[33])/2 - 17*s[34] + s[35] + (113*s[36])/3 - 
       (484*s[37])/3 - 2586*s[38] + 8854*s[39] - (29963*s[40])/3 + 
       7640*s[41] - (72125*s[42])/6 - (282994*s[43])/33 + 
       (2253833*s[44])/264 - (693515*s[45])/66 + (4951723*s[46])/66 - 
       (1805857*s[47])/792 - (2419129*s[48])/792 + (30212011*s[49])/792 - 
       (3737843*s[50])/66 - (6474845*s[51])/792 - (5601593*s[52])/792 + 
       (15399097*s[53])/396 - (76145*s[54])/66 + (66990403*s[55])/264 + 
       (17885339*s[56])/264 - (7828399*s[57])/132 + (276207605*s[58])/2376 - 
       (278551937*s[59])/2376 - (2961834589*s[60])/4752 + 
       (179507341*s[61])/5346 - 12*s[63] - 13*s[65] - 40*s[66] + 26*s[67] + 
       6*s[68] + 90*s[69] - 42*s[70] + 16*s[71] + 14*s[72] + 2*s[73] - 
       (13*s[74])/2 + (13*s[75])/2 + 4*s[76] - 45*s[77] + 78*s[78] - 
       456*s[79] + (238*s[80])/3 - 1368*s[82] + 21*s[83] - 174*s[84] - 
       264*s[85])*\[Zeta][3] + HPL[{0, 1, 1, 1}, 1 - u]*
      (-49*s[2] - 95*s[3] - (17737*s[4])/4 - (32650*s[5])/11 - 
       (324743*s[6])/44 - (2259254*s[7])/33 + (7053473*s[8])/1188 + 
       (6250285*s[9])/108 + (449516*s[10])/27 + (7577206*s[11])/99 + 
       (8492438*s[12])/99 + (10328141*s[13])/198 + (2306749*s[14])/396 + 
       (3145703*s[15])/36 + (44888761*s[16])/396 + (32631103*s[17])/396 + 
       (4056083*s[18])/324 + (795721*s[19])/81 + (237639227*s[20])/1782 + 
       (170688751*s[21])/3564 - (128977547*s[22])/3564 - 
       (33720047*s[23])/396 - (264196979*s[24])/3564 + 
       (6329497103*s[25])/64152 - (3405773231*s[26])/64152 - 7*s[30] - 
       2*s[31] - 12*s[32] + (277*s[33])/4 + s[34] + 16*s[35] + 161*s[36] - 
       (2561*s[37])/6 - 2872*s[38] + (43823*s[39])/4 - (48819*s[40])/4 + 
       (36983*s[41])/4 - (62347*s[42])/4 - (407105*s[43])/44 + 
       (863539*s[44])/88 - (1197697*s[45])/132 + (2495617*s[46])/33 - 
       (1107965*s[47])/264 - (122783*s[48])/264 + (10928591*s[49])/264 - 
       (624220*s[50])/11 - (2813375*s[51])/264 - (2390065*s[52])/264 + 
       (3778169*s[53])/99 - (97301*s[54])/33 + (63753091*s[55])/264 + 
       (51826235*s[56])/792 - (56201315*s[57])/594 + (894066583*s[58])/7128 - 
       (891404815*s[59])/7128 - (108060631*s[60])/176 + 
       (1004272295*s[61])/32076 - 30*s[68] + 30*s[69] - 16*s[70] - 12*s[71] - 
       16*s[72] - 28*s[73] + 22*s[74] - 22*s[75] + 16*s[76] - 32*s[77] - 
       16*s[78] - 964*s[79] + (1075*s[80])/3 - 1368*s[82] + 21*s[83] - 
       174*s[84] - 264*s[85])*\[Zeta][3] + HPL[{0, 1}, 1 - w]^2*
      (-40*s[2] - (791*s[3])/12 - (29999*s[4])/8 - (461411*s[5])/264 - 
       (64065*s[6])/11 - (245712697*s[7])/4752 + (17271989*s[8])/3564 + 
       (27877283*s[9])/648 + (8116993*s[10])/648 + (273877687*s[11])/4752 + 
       (19200806*s[12])/297 + (62397347*s[13])/1584 + (15416707*s[14])/4752 + 
       (9539807*s[15])/144 + (11373937*s[16])/132 + (298672667*s[17])/4752 + 
       (17453749*s[18])/1944 + (15001847*s[19])/1944 + 
       (2114434337*s[20])/21384 + (1470624823*s[21])/42768 - 
       (1161831365*s[22])/42768 - (52509419*s[23])/792 - 
       (1190753425*s[24])/21384 + (28970077885*s[25])/384912 - 
       (15159627709*s[26])/384912 + 21*s[29] - 20*s[30] - 13*s[31] + 
       7*s[32] - (157*s[33])/12 + (65*s[34])/3 + (331*s[35])/6 + 188*s[36] - 
       (7111*s[37])/36 - (5954*s[38])/3 + (196897*s[39])/24 - 
       (219377*s[40])/24 + (172249*s[41])/24 - (285727*s[42])/24 - 
       (1870175*s[43])/264 + (252485*s[44])/33 - (5939735*s[45])/792 + 
       (12256337*s[46])/198 - (1107089*s[47])/396 - (733765*s[48])/792 + 
       (12831185*s[49])/396 - (3121057*s[50])/66 - (6488731*s[51])/792 - 
       (5194589*s[52])/792 + (9671729*s[53])/297 - (133820*s[54])/99 + 
       (54053899*s[55])/264 + (16255972*s[56])/297 - (448166237*s[57])/7128 + 
       (2099616769*s[58])/21384 - (2116744813*s[59])/21384 - 
       (2393041271*s[60])/4752 + (5101378351*s[61])/192456 + 5*s[65] + 
       20*s[66] - (91*s[67])/3 - 21*s[68] - (122*s[69])/3 - s[70]/3 - 
       (3*s[71])/2 - (145*s[72])/3 + 36*s[73] + (551*s[74])/12 - 
       (551*s[75])/12 + (104*s[76])/3 + (97*s[77])/6 - 61*s[78] - 
       (2236*s[79])/3 + (3575*s[80])/18 - 769*s[82] - (19*s[83])/2 - 
       325*s[84] - 240*s[85])*\[Zeta][3] + HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*((-179*s[2])/6 - (1099*s[3])/12 - (98959*s[4])/24 - 
       (329741*s[5])/132 - (612661*s[6])/88 - (295429759*s[7])/4752 + 
       (38847823*s[8])/7128 + (4225744*s[9])/81 + (5059625*s[10])/324 + 
       (325432801*s[11])/4752 + (89684051*s[12])/1188 + 
       (72481301*s[13])/1584 + (28293349*s[14])/4752 + (1308303*s[15])/16 + 
       (4585473*s[16])/44 + (375276707*s[17])/4752 + (2645564*s[18])/243 + 
       (18186263*s[19])/1944 + (2585460281*s[20])/21384 + 
       (1829189323*s[21])/42768 - (1395413639*s[22])/42768 - 
       (29738605*s[23])/396 - (179972288*s[24])/2673 + 
       (8515426585*s[25])/96228 - (1136974969*s[26])/24057 + (4*s[29])/3 - 
       18*s[30] - (86*s[31])/3 - s[32] - (101*s[33])/12 + (142*s[34])/3 + 
       (211*s[35])/3 + (595*s[36])/3 - (4195*s[37])/18 - (6502*s[38])/3 + 
       9194*s[39] - (30670*s[40])/3 + (48221*s[41])/6 - (40513*s[42])/3 - 
       (87315*s[43])/11 + (371695*s[44])/44 - (3485963*s[45])/396 + 
       (28154945*s[46])/396 - (435907*s[47])/132 - (72467*s[48])/132 + 
       (4733539*s[49])/132 - (600253*s[50])/11 - (3746291*s[51])/396 - 
       (977255*s[52])/132 + (22641521*s[53])/594 - (208909*s[54])/99 + 
       (94747217*s[55])/396 + (75378713*s[56])/1188 - (59292185*s[57])/891 + 
       (1189465213*s[58])/10692 - (1203147571*s[59])/10692 - 
       (171405185*s[60])/297 + (742188265*s[61])/24057 + 12*s[63] + 5*s[65] + 
       12*s[66] - 10*s[67] - (52*s[68])/3 - (56*s[69])/3 - 2*s[70] - 
       (122*s[72])/3 + 10*s[73] + (105*s[74])/2 - (105*s[75])/2 + 56*s[76] + 
       (31*s[77])/3 - (172*s[78])/3 - (2516*s[79])/3 + (1829*s[80])/9 - 
       822*s[82] - 10*s[83] - 412*s[84] - 232*s[85])*\[Zeta][3] + 
     HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*((-86*s[2])/3 + (29*s[3])/2 - 
       (50545*s[4])/12 - (175019*s[5])/66 - (956015*s[6])/132 - 
       (76627327*s[7])/1188 + (4999558*s[8])/891 + (17549639*s[9])/324 + 
       (5293027*s[10])/324 + (84350873*s[11])/1188 + (92783431*s[12])/1188 + 
       (28047047*s[13])/594 + (7922951*s[14])/1188 + (9212993*s[15])/108 + 
       (128667619*s[16])/1188 + (10885817*s[17])/132 + (2759305*s[18])/243 + 
       (2337155*s[19])/243 + (1347484115*s[20])/10692 + 
       (482720831*s[21])/10692 - (181099109*s[22])/5346 - 
       (23078399*s[23])/297 - (748630189*s[24])/10692 + 
       (8788672721*s[25])/96228 - (2376449857*s[26])/48114 + (10*s[29])/3 - 
       8*s[30] - 8*s[31] + (8*s[32])/3 - 9*s[33] + 20*s[34] + 33*s[35] + 
       (523*s[36])/3 - (1615*s[37])/6 - (6791*s[38])/3 + (28645*s[39])/3 - 
       (31975*s[40])/3 + (25247*s[41])/3 - (83971*s[42])/6 - 
       (280682*s[43])/33 + (2347171*s[44])/264 - (397759*s[45])/44 + 
       (9749503*s[46])/132 - (2511667*s[47])/792 - (774811*s[48])/792 + 
       (30257437*s[49])/792 - (1869341*s[50])/33 - (2512013*s[51])/264 - 
       (5963051*s[52])/792 + (15703657*s[53])/396 - (113701*s[54])/66 + 
       (197439299*s[55])/792 + (5773875*s[56])/88 - (8879681*s[57])/132 + 
       (272855093*s[58])/2376 - (278435303*s[59])/2376 - 
       (2861978077*s[60])/4752 + (675372913*s[61])/21384 - 4*s[63] + 
       3*s[65] + 10*s[66] - 8*s[67] - (10*s[68])/3 - (38*s[69])/3 + 2*s[70] + 
       4*s[71] - 50*s[72] + (52*s[73])/3 + (293*s[74])/6 - (293*s[75])/6 + 
       (76*s[76])/3 + 19*s[77] - (208*s[78])/3 - 952*s[79] + 275*s[80] - 
       822*s[82] - 10*s[83] - 412*s[84] - 232*s[85])*\[Zeta][3] + 
     HPL[{0, 1}, 1 - u]^2*((-163*s[2])/12 - (4357*s[3])/24 - 
       (181487*s[4])/48 - (68731*s[5])/33 - (1060479*s[6])/176 - 
       (58012951*s[7])/1056 + (23858941*s[8])/4752 + (9917587*s[9])/216 + 
       (2962673*s[10])/216 + (193183447*s[11])/3168 + (53854331*s[12])/792 + 
       (129717745*s[13])/3168 + (14486767*s[14])/3168 + 
       (20506519*s[15])/288 + (9105626*s[16])/99 + (215800405*s[17])/3168 + 
       (6474689*s[18])/648 + (10482971*s[19])/1296 + (1525804031*s[20])/
        14256 + (1077815593*s[21])/28512 - (821974133*s[22])/28512 - 
       (6843262*s[23])/99 - (421897247*s[24])/7128 + (5061552961*s[25])/
        64152 - (2702956549*s[26])/64152 + (76*s[29])/3 - (37*s[30])/2 + 
       (22*s[31])/3 + 8*s[32] + (127*s[33])/6 + (7*s[34])/6 + (107*s[35])/3 + 
       (1139*s[36])/6 - (3599*s[37])/18 - (12295*s[38])/6 + 
       (199421*s[39])/24 - (74331*s[40])/8 + (174511*s[41])/24 - 
       (287737*s[42])/24 - (1882651*s[43])/264 + (4099459*s[44])/528 - 
       (1589063*s[45])/198 + (50583491*s[46])/792 - (4484581*s[47])/1584 - 
       (1374595*s[48])/1584 + (51879955*s[49])/1584 - (1612768*s[50])/33 - 
       (4368121*s[51])/528 - (10610141*s[52])/1584 + (39955241*s[53])/1188 - 
       (250669*s[54])/198 + (337444031*s[55])/1584 + (270179083*s[56])/4752 - 
       (226353115*s[57])/3564 + (4337862821*s[58])/42768 - 
       (4370372927*s[59])/42768 - (549478561*s[60])/1056 + 
       (10687086173*s[61])/384912 - 8*s[63] + 3*s[65] + 18*s[66] - 
       (92*s[67])/3 - (37*s[68])/3 - 44*s[69] + (7*s[70])/3 + s[71] - 
       (118*s[72])/3 + 31*s[73] + (281*s[74])/6 - (281*s[75])/6 + 
       (64*s[76])/3 + (41*s[77])/3 - (205*s[78])/3 - (2140*s[79])/3 + 
       (1564*s[80])/9 - 837*s[82] - (19*s[83])/2 - 309*s[84] - 232*s[85])*
      \[Zeta][3] + HPL[{0, 1}, 1 - v]^2*((-65*s[2])/3 - (1975*s[3])/12 - 
       (11668*s[4])/3 - (47183*s[5])/22 - (828611*s[6])/132 - 
       (29960707*s[7])/528 + (18126047*s[8])/3564 + (30746477*s[9])/648 + 
       (4630751*s[10])/324 + (299128837*s[11])/4752 + (83231927*s[12])/1188 + 
       (200445727*s[13])/4752 + (23713783*s[14])/4752 + 
       (31880999*s[15])/432 + (226015457*s[16])/2376 + 
       (336263641*s[17])/4752 + (20124763*s[18])/1944 + 
       (16188881*s[19])/1944 + (2368517339*s[20])/21384 + 
       (1683103501*s[21])/42768 - (1274364713*s[22])/42768 - 
       (168382543*s[23])/2376 - (1307713903*s[24])/21384 + 
       (31267490983*s[25])/384912 - (16786321603*s[26])/384912 + 
       (79*s[29])/3 - (47*s[30])/2 - 2*s[31] + (37*s[32])/6 - 
       (127*s[33])/24 + (101*s[34])/6 + (11*s[35])/6 + (574*s[36])/3 - 
       (5489*s[37])/36 - 2065*s[38] + (204817*s[39])/24 - (76283*s[40])/8 + 
       (59807*s[41])/8 - (98959*s[42])/8 - (1954175*s[43])/264 + 
       (702587*s[44])/88 - (6219865*s[45])/792 + (25508585*s[46])/396 - 
       (255567*s[47])/88 - (132743*s[48])/132 + (8928329*s[49])/264 - 
       (1081207*s[50])/22 - (3336493*s[51])/396 - (300523*s[52])/44 + 
       (40132861*s[53])/1188 - (267281*s[54])/198 + (21080779*s[55])/99 + 
       (135080305*s[56])/2376 - (469576189*s[57])/7128 + 
       (547308833*s[58])/5346 - (1103743207*s[59])/10692 - 
       (311278423*s[60])/594 + (663765457*s[61])/24057 - 2*s[63] + 6*s[65] + 
       22*s[66] - (107*s[67])/3 - (49*s[68])/3 - 59*s[69] + (19*s[70])/3 - 
       (3*s[71])/2 - (143*s[72])/3 + (148*s[73])/3 + (545*s[74])/12 - 
       (545*s[75])/12 + (92*s[76])/3 + (83*s[77])/6 - (223*s[78])/3 - 
       (2276*s[79])/3 + (3793*s[80])/18 - 837*s[82] - (19*s[83])/2 - 
       309*s[84] - 232*s[85])*\[Zeta][3] + HPL[{0, 0, 0, 1}, 1 - w]*
      (14*s[2] + 7*s[3] - (1323*s[4])/2 - (2317*s[5])/11 - (14343*s[6])/22 - 
       (2842637*s[7])/396 + (426593*s[8])/594 + (158675*s[9])/27 + 
       (40108*s[10])/27 + (3273443*s[11])/396 + (955750*s[12])/99 + 
       (267001*s[13])/44 - (169861*s[14])/396 + (105901*s[15])/12 + 
       (381965*s[16])/33 + (2994961*s[17])/396 + (67642*s[18])/81 + 
       (242659*s[19])/162 + (22859725*s[20])/1782 + (14068457*s[21])/3564 - 
       (13551229*s[22])/3564 - (107090*s[23])/11 - (7370428*s[24])/891 + 
       (90973337*s[25])/8019 - (42362663*s[26])/8019 + 4*s[30] + 8*s[31] + 
       10*s[32] - s[33] - 24*s[34] + 28*s[35] - (50*s[36])/3 - 
       (160*s[37])/3 - 414*s[38] + 1446*s[39] - (5212*s[40])/3 + 1398*s[41] - 
       (5744*s[42])/3 - (54038*s[43])/33 + (111667*s[44])/66 - 
       (63802*s[45])/33 + (154390*s[46])/11 + (2617*s[47])/198 - 
       (227591*s[48])/198 + (1503197*s[49])/198 - (372560*s[50])/33 - 
       (234271*s[51])/198 - (186919*s[52])/198 + (250571*s[53])/33 + 
       (3070*s[54])/11 + (3310067*s[55])/66 + (2395015*s[56])/198 - 
       (1104407*s[57])/297 + (34768493*s[58])/1782 - (36341585*s[59])/1782 - 
       (146890211*s[60])/1188 + (48126886*s[61])/8019 - 4*s[65] - 10*s[66] + 
       8*s[67] + 26*s[68] + 22*s[69] - 16*s[70] + 8*s[72] - 24*s[73] - 
       6*s[74] + 6*s[75] - 48*s[76] + 40*s[77] + 64*s[78] - 216*s[79] + 
       (406*s[80])/3 - 1072*s[82] - 192*s[85])*\[Zeta][3] + 
     HPL[{0, 0, 0, 1}, 1 - u]*(-2*s[1] - 41*s[2] - 354*s[3] - 950*s[4] - 
       (17154*s[5])/11 - (31858*s[6])/11 - (5023699*s[7])/198 + 
       (137308*s[8])/99 + (194261*s[9])/9 + (75382*s[10])/9 + 
       (1787645*s[11])/66 + (915103*s[12])/33 + (3164087*s[13])/198 + 
       (471287*s[14])/66 + (663943*s[15])/18 + (4443493*s[16])/99 + 
       (7705639*s[17])/198 + (136472*s[18])/27 + (119995*s[19])/27 + 
       (16381381*s[20])/297 + (4224205*s[21])/198 - (7802957*s[22])/594 - 
       (2038241*s[23])/99 - (8805109*s[24])/297 + (19316977*s[25])/594 - 
       (11868229*s[26])/594 - 14*s[29] + 12*s[30] + 8*s[31] + 12*s[33] - 
       20*s[34] - 8*s[35] - (164*s[36])/3 + (292*s[37])/3 - 644*s[38] + 
       1924*s[39] - (7042*s[40])/3 + 1960*s[41] - (6992*s[42])/3 - 
       (84020*s[43])/33 + (81203*s[44])/33 - (153128*s[45])/33 + 
       (903292*s[46])/33 + (43349*s[47])/99 - (238075*s[48])/99 + 
       (1182121*s[49])/99 - (720020*s[50])/33 - (138707*s[51])/99 - 
       (116339*s[52])/99 + (1539122*s[53])/99 + (42340*s[54])/33 + 
       (1159053*s[55])/11 + (288479*s[56])/11 + (310550*s[57])/99 + 
       (10706407*s[58])/297 - (11392795*s[59])/297 - (141154531*s[60])/594 + 
       (4069300*s[61])/297 + 32*s[63] - 8*s[65] - 20*s[66] + 16*s[67] + 
       52*s[68] + 12*s[69] - 32*s[70] + 16*s[71] + 16*s[72] - 12*s[74] + 
       12*s[75] - 16*s[76] + 80*s[77] + 32*s[78] + 8*s[79] - (232*s[80])/3 - 
       792*s[82] - 144*s[85])*\[Zeta][3] + HPL[{0, 0, 0, 1}, 1 - v]*
      (-2*s[1] + 35*s[2] - 97*s[3] - (1493*s[4])/2 - (11067*s[5])/11 - 
       (39977*s[6])/22 - (7251809*s[7])/396 + (620075*s[8])/594 + 
       (423248*s[9])/27 + (168088*s[10])/27 + (7795907*s[11])/396 + 
       (2024923*s[12])/99 + (519525*s[13])/44 + (1910543*s[14])/396 + 
       (316133*s[15])/12 + (1067294*s[16])/33 + (10916581*s[17])/396 + 
       (249595*s[18])/81 + (625897*s[19])/162 + (70486213*s[20])/1782 + 
       (52221401*s[21])/3564 - (34249537*s[22])/3564 - (141346*s[23])/11 - 
       (19917571*s[24])/891 + (383341429*s[25])/16038 - 
       (224773273*s[26])/16038 - 8*s[29] + 12*s[30] + 40*s[31] + 87*s[33] - 
       66*s[34] + 14*s[35] - 20*s[36] - 102*s[37] - 396*s[38] + 
       (2941*s[39])/2 - (3405*s[40])/2 + (2607*s[41])/2 - (4041*s[42])/2 - 
       (2953*s[43])/2 + (3065*s[44])/2 - 1314*s[45] + (22291*s[46])/2 - 
       (752*s[47])/3 - (3637*s[48])/6 + (20048*s[49])/3 - 8745*s[50] - 
       (2559*s[51])/2 - (3154*s[52])/3 + (34763*s[53])/6 - 153*s[54] + 
       (222871*s[55])/6 + 8946*s[56] - (46709*s[57])/6 + (49850*s[58])/3 - 
       (102653*s[59])/6 - (867346*s[60])/9 + (1385245*s[61])/324 - 2*s[65] - 
       6*s[66] + 4*s[67] + 10*s[68] + 6*s[69] - 12*s[70] - 4*s[71] + 
       4*s[72] - 24*s[73] - 3*s[74] + 3*s[75] - 44*s[76] + 30*s[77] + 
       56*s[78] - 216*s[79] + 154*s[80] - 792*s[82] - 144*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*((-7*s[2])/4 - (7*s[3])/8 - 
       (21593*s[4])/48 - (29179*s[5])/88 - (141569*s[6])/176 - 
       (24265709*s[7])/3168 + (2861597*s[8])/4752 + (1402547*s[9])/216 + 
       (467275*s[10])/216 + (26393375*s[11])/3168 + (14223503*s[12])/1584 + 
       (5616781*s[13])/1056 + (3568577*s[14])/3168 + (1001245*s[15])/96 + 
       (2297523*s[16])/176 + (32696677*s[17])/3168 + (886489*s[18])/648 + 
       (1595053*s[19])/1296 + (220757161*s[20])/14256 + 
       (159455699*s[21])/28512 - (114963067*s[22])/28512 - 
       (357145*s[23])/44 - (7597319*s[24])/891 + (1350172315*s[25])/128304 - 
       (748119277*s[26])/128304 - s[30] - s[31] + 3*s[32] + (39*s[33])/8 - 
       4*s[34] + (5*s[35])/4 + 17*s[36] + (151*s[37])/6 - (2947*s[38])/12 + 
       (46525*s[39])/48 - (54109*s[40])/48 + (45587*s[41])/48 - 
       (21855*s[42])/16 - (543619*s[43])/528 + (34354*s[44])/33 - 
       (124215*s[45])/88 + (1751861*s[46])/176 - (177869*s[47])/1584 - 
       (219359*s[48])/396 + (7546877*s[49])/1584 - (2107225*s[50])/264 - 
       (251639*s[51])/264 - (1107649*s[52])/1584 + (2944223*s[53])/528 + 
       (82805*s[54])/264 + (28593265*s[55])/792 + (14259931*s[56])/1584 - 
       (14376865*s[57])/4752 + (198240437*s[58])/14256 - 
       (102975139*s[59])/7128 - (806263529*s[60])/9504 + 
       (1169387287*s[61])/256608 - (3*s[65])/4 - (3*s[66])/2 + (3*s[67])/2 + 
       9*s[68] - 3*s[69] - (3*s[70])/2 + 3*s[71] - (5*s[72])/2 - 7*s[73] + 
       (31*s[74])/8 - (31*s[75])/8 - (15*s[76])/2 + (35*s[77])/4 + 4*s[78] - 
       96*s[79] + (89*s[80])/6 - 498*s[82] + (3*s[83])/2 - 57*s[84] - 
       132*s[85])*\[Zeta][3] + HPL[{0, 1, 1, 1}, 1 - w]*
      ((-93*s[2])/2 - (71*s[3])/4 - (11743*s[4])/8 - (60815*s[5])/44 - 
       (284503*s[6])/88 - (44884769*s[7])/1584 + (1563559*s[8])/792 + 
       (872287*s[9])/36 + (69839*s[10])/9 + (5464411*s[11])/176 + 
       (4432301*s[12])/132 + (32198005*s[13])/1584 + (857103*s[14])/176 + 
       (5426219*s[15])/144 + (18918001*s[16])/396 + (59240249*s[17])/1584 + 
       (187471*s[18])/36 + (301319*s[19])/72 + (45407803*s[20])/792 + 
       (100960415*s[21])/4752 - (71138591*s[22])/4752 - (5743645*s[23])/198 - 
       (37445591*s[24])/1188 + (416235473*s[25])/10692 - 
       (234894635*s[26])/10692 - 14*s[29] + 4*s[30] - 6*s[31] + s[32] + 
       (75*s[33])/4 - 10*s[34] + 7*s[35] + (101*s[36])/3 - (280*s[37])/3 - 
       898*s[38] + (7273*s[39])/2 - (24913*s[40])/6 + (6463*s[41])/2 - 
       (15616*s[42])/3 - (220025*s[43])/66 + (905141*s[44])/264 - 
       (243035*s[45])/66 + (952205*s[46])/33 - (932713*s[47])/792 - 
       (534997*s[48])/792 + (11662291*s[49])/792 - (1454921*s[50])/66 - 
       (2889209*s[51])/792 - (2396225*s[52])/792 + (5935639*s[53])/396 - 
       (58403*s[54])/66 + (8473165*s[55])/88 + (6830467*s[56])/264 - 
       (10646719*s[57])/396 + (35995679*s[58])/792 - (4001903*s[59])/88 - 
       (1130203333*s[60])/4752 + (133274623*s[61])/10692 - 7*s[65] - 
       28*s[66] + 14*s[67] + 22*s[68] + 36*s[69] - 14*s[70] + 4*s[71] + 
       2*s[72] + 2*s[73] + (5*s[74])/2 - (5*s[75])/2 + 16*s[76] + 9*s[77] + 
       54*s[78] - 456*s[79] + (406*s[80])/3 - 528*s[82] + 21*s[83] - 
       174*s[84] - 120*s[85])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*((-21*s[2])/2 - (55*s[3])/4 - (7969*s[4])/8 - 
       (113563*s[5])/176 - (308477*s[6])/176 - (2720031*s[7])/176 + 
       (6455221*s[8])/4752 + (5613731*s[9])/432 + (1648729*s[10])/432 + 
       (3382003*s[11])/198 + (29995021*s[12])/1584 + (18078371*s[13])/1584 + 
       (2408855*s[14])/1584 + (1446635*s[15])/72 + (20455093*s[16])/792 + 
       (30499421*s[17])/1584 + (3798145*s[18])/1296 + (164933*s[19])/81 + 
       (215460931*s[20])/7128 + (38937461*s[21])/3564 - 
       (115912183*s[22])/14256 - (7691737*s[23])/396 - 
       (117474053*s[24])/7128 + (5626261027*s[25])/256608 - 
       (3059677567*s[26])/256608 - 3*s[30] - 9*s[31] + (3*s[32])/4 - 
       (17*s[33])/4 + 8*s[34] + (31*s[35])/3 + 33*s[36] - (457*s[37])/8 - 
       (2369*s[38])/4 + (60355*s[39])/24 - (67651*s[40])/24 + 
       (26713*s[41])/12 - (44227*s[42])/12 - (579833*s[43])/264 + 
       (1248127*s[44])/528 - (443101*s[45])/176 + (3529557*s[46])/176 - 
       (448181*s[47])/528 - (192299*s[48])/528 + (1771239*s[49])/176 - 
       (1015361*s[50])/66 - (1324267*s[51])/528 - (352741*s[52])/176 + 
       (350983*s[53])/33 - (15644*s[54])/33 + (35573047*s[55])/528 + 
       (9564413*s[56])/528 - (14883265*s[57])/792 + (74859701*s[58])/2376 - 
       (150604813*s[59])/4752 - (32362355*s[60])/198 + 
       (759099083*s[61])/85536 - 4*s[68] + 4*s[69] - 3*s[70] - 7*s[72] - 
       s[73]/2 + (131*s[74])/12 - (131*s[75])/12 + (25*s[76])/3 + 
       (11*s[77])/6 - (13*s[78])/2 - 228*s[79] + (799*s[80])/12 - 582*s[82] + 
       (3*s[83])/2 - 109*s[84] - 108*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*((-116*s[2])/3 - (139*s[3])/6 - 
       (32491*s[4])/24 - (29617*s[5])/24 - (65821*s[6])/24 - 
       (5449369*s[7])/216 + (656837*s[8])/324 + (6940529*s[9])/324 + 
       (2167291*s[10])/324 + (5975327*s[11])/216 + (13029365*s[12])/432 + 
       (7790825*s[13])/432 + (1539187*s[14])/432 + (7272559*s[15])/216 + 
       (18373619*s[16])/432 + (394799*s[17])/12 + (9091085*s[18])/1944 + 
       (3559199*s[19])/972 + (98410619*s[20])/1944 + (71897029*s[21])/3888 - 
       (51657461*s[22])/3888 - (761524*s[23])/27 - (26854421*s[24])/972 + 
       (1225731217*s[25])/34992 - (680098189*s[26])/34992 + 4*s[29] - 
       (5*s[30])/2 - (59*s[31])/3 + (11*s[32])/6 - (19*s[33])/24 + 
       (143*s[34])/6 + (185*s[35])/6 + (578*s[36])/9 - (883*s[37])/9 - 
       (5341*s[38])/6 + (28073*s[39])/8 - (280345*s[40])/72 + 
       (72169*s[41])/24 - (89921*s[42])/18 - (2517527*s[43])/792 + 
       (5202121*s[44])/1584 - (1505407*s[45])/396 + (22761175*s[46])/792 - 
       (5425829*s[47])/4752 - (2377355*s[48])/4752 + (68605169*s[49])/4752 - 
       (2182678*s[50])/99 - (16095241*s[51])/4752 - (13049083*s[52])/4752 + 
       (4587040*s[53])/297 - (47104*s[54])/99 + (51925615*s[55])/528 + 
       (40592641*s[56])/1584 - (2238682*s[57])/99 + (628032523*s[58])/14256 - 
       (640543933*s[59])/14256 - (6742247315*s[60])/28512 + 
       (1620407495*s[61])/128304 - s[65]/6 - (5*s[66])/3 + s[67]/3 - 
       (29*s[68])/3 + (19*s[69])/3 - (20*s[70])/3 - (4*s[71])/3 - 
       (29*s[72])/3 + (49*s[74])/4 - (49*s[75])/4 + (91*s[76])/3 + 
       (23*s[77])/6 - (62*s[78])/3 - (670*s[79])/3 + (295*s[80])/9 - 
       516*s[82] + (11*s[83])/4 - (237*s[84])/2 - 100*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*((-199*s[2])/12 + (153*s[3])/8 - 
       (18909*s[4])/16 - (277813*s[5])/264 - (1235489*s[6])/528 - 
       (206395331*s[7])/9504 + (24662183*s[8])/14256 + (11945663*s[9])/648 + 
       (1888817*s[10])/324 + (226078067*s[11])/9504 + 
       (123165983*s[12])/4752 + (48926329*s[13])/3168 + 
       (30706289*s[14])/9504 + (8345455*s[15])/288 + (4832197*s[16])/132 + 
       (269854009*s[17])/9504 + (1939789*s[18])/486 + (12538933*s[19])/3888 + 
       (1870672555*s[20])/42768 + (1364147111*s[21])/85536 - 
       (979295011*s[22])/85536 - (37383715*s[23])/1584 - 
       (1025918579*s[24])/42768 + (5784458111*s[25])/192456 - 
       (3213993383*s[26])/192456 + 4*s[29] - (3*s[30])/2 - (13*s[31])/3 + 
       s[32]/6 - (19*s[33])/12 - (11*s[34])/6 + (11*s[35])/3 + 
       (523*s[36])/18 - (153*s[37])/2 - (2276*s[38])/3 + (70463*s[39])/24 - 
       (236857*s[40])/72 + (61295*s[41])/24 - (75119*s[42])/18 - 
       (2130779*s[43])/792 + (1102459*s[44])/396 - (427421*s[45])/132 + 
       (19365131*s[46])/792 - (530833*s[47])/594 - (1351891*s[48])/2376 + 
       (28892881*s[49])/2376 - (1862119*s[50])/99 - (3461473*s[51])/1188 - 
       (5505239*s[52])/2376 + (15595163*s[53])/1188 - (50615*s[54])/99 + 
       (8303906*s[55])/99 + (52151047*s[56])/2376 - (16376567*s[57])/891 + 
       (796407053*s[58])/21384 - (809181977*s[59])/21384 - 
       (2879569177*s[60])/14256 + (1036735171*s[61])/96228 + 2*s[63] - 
       (7*s[65])/6 - (17*s[66])/3 + (10*s[67])/3 - (14*s[68])/3 + 
       (40*s[69])/3 - (8*s[70])/3 + (2*s[71])/3 - (4*s[72])/3 + (5*s[73])/3 + 
       (55*s[74])/6 - (55*s[75])/6 + 13*s[76] - s[77]/3 + (10*s[78])/3 - 
       254*s[79] + (206*s[80])/3 - 516*s[82] + (11*s[83])/4 - (237*s[84])/2 - 
       100*s[85])*\[Zeta][3] + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      (-13*s[2] - (365*s[3])/2 - (3899*s[4])/4 - (12047*s[5])/11 - 
       (91367*s[6])/44 - (5184749*s[7])/264 + (531743*s[8])/396 + 
       (300077*s[9])/18 + (50252*s[10])/9 + (5706383*s[11])/264 + 
       (3079451*s[12])/132 + (1216261*s[13])/88 + (887465*s[14])/264 + 
       (639995*s[15])/24 + (1470791*s[16])/44 + (6987049*s[17])/264 + 
       (201541*s[18])/54 + (361213*s[19])/108 + (47909287*s[20])/1188 + 
       (35931395*s[21])/2376 - (24330211*s[22])/2376 - (218540*s[23])/11 - 
       (13294945*s[24])/594 + (144035117*s[25])/5346 - 
       (41288287*s[26])/2673 + 2*s[29] + 2*s[30] + 8*s[31] + s[33] - 
       10*s[34] - 4*s[35] - (88*s[36])/3 + 8*s[37] - 836*s[38] + 2488*s[39] - 
       (8360*s[40])/3 + 2170*s[41] - (9472*s[42])/3 - (87850*s[43])/33 + 
       (167963*s[44])/66 - (41336*s[45])/11 + (807124*s[46])/33 - 
       (57505*s[47])/198 - (289429*s[48])/198 + (2418847*s[49])/198 - 
       (626920*s[50])/33 - (412301*s[51])/198 - (355235*s[52])/198 + 
       (1305671*s[53])/99 + (21166*s[54])/33 + (5768075*s[55])/66 + 
       (4308217*s[56])/198 - (2688401*s[57])/297 + (62626451*s[58])/1782 - 
       (65058539*s[59])/1782 - (248124793*s[60])/1188 + 
       (89891017*s[61])/8019 + 8*s[63] - 4*s[65] - 12*s[66] + 8*s[67] + 
       24*s[68] + 12*s[69] - 12*s[70] + 8*s[71] + 8*s[72] + 12*s[73] - 
       6*s[74] + 6*s[75] - 8*s[76] + 38*s[77] + 16*s[78] + 8*s[79] - 
       40*s[80] - 494*s[82] - 96*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*(4*s[2] - 28*s[3] - 967*s[4] - 
       (21525*s[5])/22 - (20376*s[6])/11 - (620902*s[7])/33 + 
       (812345*s[8])/594 + (436382*s[9])/27 + (140041*s[10])/27 + 
       (2056742*s[11])/99 + (8983561*s[12])/396 + (5356451*s[13])/396 + 
       (1119143*s[14])/396 + (453881*s[15])/18 + (12598853*s[16])/396 + 
       (4857361*s[17])/198 + (269983*s[18])/81 + (255602*s[19])/81 + 
       (68255467*s[20])/1782 + (50052815*s[21])/3564 - 
       (35527489*s[22])/3564 - (3840491*s[23])/198 - (19069300*s[24])/891 + 
       (209677073*s[25])/8019 - (234314785*s[26])/16038 + 4*s[29] + 6*s[31] + 
       (83*s[33])/2 - 14*s[34] + 8*s[35] + (119*s[36])/3 - 113*s[37] - 
       768*s[38] + (10543*s[39])/4 - (35057*s[40])/12 + (8799*s[41])/4 - 
       (43189*s[42])/12 - (326155*s[43])/132 + (650171*s[44])/264 - 
       (54215*s[45])/22 + (2547343*s[46])/132 - (602755*s[47])/792 - 
       (387001*s[48])/792 + (8754985*s[49])/792 - (486373*s[50])/33 - 
       (1876937*s[51])/792 - (1610525*s[52])/792 + (3953405*s[53])/396 - 
       (1043*s[54])/33 + (5612621*s[55])/88 + (12672235*s[56])/792 - 
       (10787251*s[57])/594 + (215925797*s[58])/7128 - 
       (221468231*s[59])/7128 - (767304763*s[60])/4752 + 
       (500493665*s[61])/64152 - 2*s[66] - 2*s[70] - 3*s[71] - 4*s[72] - 
       2*s[76] + 14*s[77] + 4*s[78] - 144*s[79] + 42*s[80] - 494*s[82] - 
       96*s[85])*\[Zeta][3] + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
      ((7*s[2])/2 - (159*s[3])/2 - (21515*s[4])/12 - (15963*s[5])/22 - 
       (159949*s[6])/66 - (27055205*s[7])/1188 + (2032681*s[8])/891 + 
       (1525862*s[9])/81 + (1737091*s[10])/324 + (30264701*s[11])/1188 + 
       (68426345*s[12])/2376 + (13844213*s[13])/792 + (420751*s[14])/594 + 
       (1051603*s[15])/36 + (417812*s[16])/11 + (8126317*s[17])/297 + 
       (7484669*s[18])/1944 + (6990631*s[19])/1944 + (921466585*s[20])/
        21384 + (313718059*s[21])/21384 - (255216419*s[22])/21384 - 
       (12220493*s[23])/396 - (522110639*s[24])/21384 + 
       (6470733355*s[25])/192456 - (3318278083*s[26])/192456 + (44*s[29])/3 - 
       12*s[30] + s[31]/3 + (13*s[32])/6 - (49*s[33])/12 + (32*s[34])/3 + 
       (62*s[35])/3 + (806*s[36])/9 - (649*s[37])/6 - 917*s[38] + 
       (11185*s[39])/3 - (37142*s[40])/9 + (19291*s[41])/6 - 
       (96827*s[42])/18 - (310000*s[43])/99 + (5490139*s[44])/1584 - 
       (226151*s[45])/66 + (5527919*s[46])/198 - (6313385*s[47])/4752 - 
       (1295009*s[48])/4752 + (69573815*s[49])/4752 - (2120455*s[50])/99 - 
       (17480401*s[51])/4752 - (13884163*s[52])/4752 + 
       (17553539*s[53])/1188 - (126845*s[54])/396 + (147372227*s[55])/1584 + 
       (116906225*s[56])/4752 - (200552359*s[57])/7128 + 
       (1892330353*s[58])/42768 - (1916251507*s[59])/42768 - 
       (6482137349*s[60])/28512 + (4606006987*s[61])/384912 + (10*s[65])/3 + 
       (40*s[66])/3 - (64*s[67])/3 - (40*s[68])/3 - (88*s[69])/3 - 
       (16*s[70])/3 - (17*s[71])/6 - (76*s[72])/3 + (92*s[73])/3 + 
       (49*s[74])/2 - (49*s[75])/2 + (43*s[76])/3 + (50*s[77])/3 - 
       (133*s[78])/3 - 300*s[79] + 82*s[80] - 408*s[82] - 10*s[83] - 
       124*s[84] - 96*s[85])*\[Zeta][3] + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      ((-41*s[2])/3 - (769*s[3])/12 - (3436*s[4])/3 - (74265*s[5])/88 - 
       (23571*s[6])/11 - (3799555*s[7])/198 + (11207633*s[8])/7128 + 
       (1310060*s[9])/81 + (1661581*s[10])/324 + (99988151*s[11])/4752 + 
       (109112287*s[12])/4752 + (32699785*s[13])/2376 + 
       (6098149*s[14])/2376 + (690742*s[15])/27 + (38580917*s[16])/1188 + 
       (119632301*s[17])/4752 + (1722119*s[18])/486 + (2773649*s[19])/972 + 
       (819655477*s[20])/21384 + (297331807*s[21])/21384 - 
       (215337329*s[22])/21384 - (104402149*s[23])/4752 - 
       (897033847*s[24])/42768 + (10291705895*s[25])/384912 - 
       (5677223771*s[26])/384912 - (13*s[30])/6 - (13*s[31])/3 + s[32] - 
       (5*s[33])/8 + (13*s[34])/6 + 3*s[35] + (115*s[36])/3 - 
       (1033*s[37])/18 - 615*s[38] + (7691*s[39])/3 - 2893*s[40] + 
       (13579*s[41])/6 - (22261*s[42])/6 - (25589*s[43])/11 + 
       (644317*s[44])/264 - (1102775*s[45])/396 + (8434091*s[46])/396 - 
       (212621*s[47])/264 - (124093*s[48])/264 + (697363*s[49])/66 - 
       (180527*s[50])/11 - (495127*s[51])/198 - (533723*s[52])/264 + 
       (6781235*s[53])/594 - (123421*s[54])/396 + (6396427*s[55])/88 + 
       (11411899*s[56])/594 - (62378651*s[57])/3564 + 
       (351026113*s[58])/10692 - (88931494*s[59])/2673 - 
       (415887589*s[60])/2376 + (907407415*s[61])/96228 - (4*s[70])/3 - 
       (26*s[72])/3 - (8*s[73])/3 + (59*s[74])/6 - (59*s[75])/6 + 14*s[76] + 
       3*s[77] - (26*s[78])/3 - (740*s[79])/3 + (602*s[80])/9 - 385*s[82] + 
       (5*s[83])/4 - (211*s[84])/2 - 92*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*((-143*s[2])/12 - (443*s[3])/8 - 
       (51499*s[4])/48 - (207577*s[5])/264 - (1058441*s[6])/528 - 
       (56887195*s[7])/3168 + (2314597*s[8])/1584 + (272287*s[9])/18 + 
       (347921*s[10])/72 + (20783165*s[11])/1056 + (3775547*s[12])/176 + 
       (40722863*s[13])/3168 + (2579395*s[14])/1056 + (6901229*s[15])/288 + 
       (24097547*s[16])/792 + (74903353*s[17])/3168 + (706381*s[18])/216 + 
       (1177729*s[19])/432 + (170563603*s[20])/4752 + (41104819*s[21])/3168 - 
       (89577197*s[22])/9504 - (32144219*s[23])/1584 - 
       (93762175*s[24])/4752 + (44579621*s[25])/1782 - 
       (49062451*s[26])/3564 - (13*s[30])/6 - (10*s[31])/3 + (4*s[32])/3 + 
       s[33]/2 + s[34]/6 + (5*s[35])/2 + (683*s[36])/18 - (536*s[37])/9 - 
       (1711*s[38])/3 + (28537*s[39])/12 - (96613*s[40])/36 + 
       (8363*s[41])/4 - (62191*s[42])/18 - (824801*s[43])/396 + 
       (443275*s[44])/198 - (242648*s[45])/99 + (7562503*s[46])/396 - 
       (1883627*s[47])/2376 - (743675*s[48])/2376 + (11308327*s[49])/1188 - 
       (5821121*s[50])/396 - (1409791*s[51])/594 - (2262407*s[52])/1188 + 
       (24201505*s[53])/2376 - (162443*s[54])/396 + (5692161*s[55])/88 + 
       (755681*s[56])/44 - (5070799*s[57])/297 + (212295713*s[58])/7128 - 
       (107162497*s[59])/3564 - (278532049*s[60])/1782 + 
       (119613013*s[61])/14256 - s[65]/6 - (2*s[66])/3 + s[67]/3 - s[68] + 
       (7*s[69])/3 + (7*s[70])/3 + s[71]/6 - (23*s[72])/3 + s[73]/3 + 
       (133*s[74])/12 - (133*s[75])/12 + 13*s[76] + (5*s[77])/6 - 10*s[78] - 
       248*s[79] + (605*s[80])/9 - 385*s[82] + (5*s[83])/4 - (211*s[84])/2 - 
       92*s[85])*\[Zeta][3] + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      ((13*s[2])/6 - 124*s[3] - (3803*s[4])/2 - (30938*s[5])/33 - 
       (726853*s[6])/264 - (125211853*s[7])/4752 + (8675045*s[8])/3564 + 
       (7122919*s[9])/324 + (4290913*s[10])/648 + (8718322*s[11])/297 + 
       (156185219*s[12])/4752 + (31303627*s[13])/1584 + 
       (8147749*s[14])/4752 + (545633*s[15])/16 + (35020831*s[16])/792 + 
       (77130883*s[17])/2376 + (9076693*s[18])/1944 + (4021843*s[19])/972 + 
       (546278299*s[20])/10692 + (759457459*s[21])/42768 - 
       (592271675*s[22])/42768 - (52937129*s[23])/1584 - 
       (1221279149*s[24])/42768 + (14700261931*s[25])/384912 - 
       (7719992089*s[26])/384912 + 12*s[29] - 9*s[30] + (2*s[31])/3 + 
       (19*s[32])/6 + (125*s[33])/12 + (14*s[34])/3 + (38*s[35])/3 + 
       (1627*s[36])/18 - (1489*s[37])/12 - (2977*s[38])/3 + 
       (95827*s[39])/24 - (321037*s[40])/72 + (83219*s[41])/24 - 
       (414683*s[42])/72 - (2653655*s[43])/792 + (5924593*s[44])/1584 - 
       (987545*s[45])/264 + (11916811*s[46])/396 - (6650927*s[47])/4752 - 
       (1863221*s[48])/4752 + (74787737*s[49])/4752 - (9177271*s[50])/396 - 
       (18935641*s[51])/4752 - (15073147*s[52])/4752 + (9357283*s[53])/594 - 
       (15221*s[54])/99 + (157780771*s[55])/1584 + (125269739*s[56])/4752 - 
       (55418839*s[57])/1782 + (2050974043*s[58])/42768 - 
       (2059259011*s[59])/42768 - (7008890453*s[60])/28512 + 
       (1241572693*s[61])/96228 + (4*s[65])/3 + (28*s[66])/3 - (56*s[67])/3 - 
       (8*s[68])/3 - (80*s[69])/3 - (8*s[70])/3 - (4*s[71])/3 - 
       (64*s[72])/3 + (62*s[73])/3 + (71*s[74])/3 - (71*s[75])/3 + 16*s[76] + 
       (35*s[77])/3 - (92*s[78])/3 - 348*s[79] + (553*s[80])/6 - 388*s[82] - 
       7*s[83] - 138*s[84] - 88*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*((-79*s[2])/6 - (703*s[3])/6 - 
       (22901*s[4])/12 - (57941*s[5])/66 - (719567*s[6])/264 - 
       (123660415*s[7])/4752 + (8600293*s[8])/3564 + (7015685*s[9])/324 + 
       (4240457*s[10])/648 + (68834725*s[11])/2376 + (154258171*s[12])/4752 + 
       (92686795*s[13])/4752 + (8060501*s[14])/4752 + (14612453*s[15])/432 + 
       (12989035*s[16])/297 + (2120165*s[17])/66 + (4459051*s[18])/972 + 
       (7938967*s[19])/1944 + (1079940085*s[20])/21384 + 
       (750925469*s[21])/42768 - (584563861*s[22])/42768 - 
       (157815023*s[23])/4752 - (1208403655*s[24])/42768 + 
       (14511657623*s[25])/384912 - (7640933405*s[26])/384912 + 8*s[29] - 
       10*s[30] - (5*s[31])/3 + (13*s[32])/3 - (29*s[33])/3 + (22*s[34])/3 + 
       (16*s[35])/3 + (1549*s[36])/18 - (3427*s[37])/36 - 961*s[38] + 
       (93619*s[39])/24 - (313357*s[40])/72 + (80983*s[41])/24 - 
       (407339*s[42])/72 - (234421*s[43])/72 + (32489*s[44])/9 - 
       (244915*s[45])/72 + (255181*s[46])/9 - (38524*s[47])/27 - 
       (61985*s[48])/216 + (409192*s[49])/27 - (780593*s[50])/36 - 
       (836563*s[51])/216 - (673339*s[52])/216 + (1592441*s[53])/108 - 
       (13367*s[54])/36 + (6687763*s[55])/72 + (894139*s[56])/36 - 
       (6838057*s[57])/216 + (2470441*s[58])/54 - (1103381*s[59])/24 - 
       (298813043*s[60])/1296 + (139719839*s[61])/11664 - 2*s[63] + 
       (7*s[65])/3 + (34*s[66])/3 - (59*s[67])/3 - (32*s[68])/3 - 
       (77*s[69])/3 + (7*s[70])/3 - (11*s[71])/6 - (74*s[72])/3 + 32*s[73] + 
       24*s[74] - 24*s[75] + (64*s[76])/3 + (16*s[77])/3 - (131*s[78])/3 - 
       (1108*s[79])/3 + (1733*s[80])/18 - 388*s[82] - 7*s[83] - 138*s[84] - 
       88*s[85])*\[Zeta][3] + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      (15*s[2] - (98*s[3])/3 + 109*s[4] + (30863*s[5])/66 + (26186*s[6])/33 + 
       (6649351*s[7])/1188 - (265385*s[8])/891 - (400285*s[9])/81 - 
       (112598*s[10])/81 - (3632669*s[11])/594 - (7737593*s[12])/1188 - 
       (1559311*s[13])/396 - (2038321*s[14])/1188 - (268547*s[15])/36 - 
       (1810675*s[16])/198 - (4309711*s[17])/594 - (644311*s[18])/486 - 
       (188093*s[19])/486 - (31636111*s[20])/2673 - (53507491*s[21])/10692 + 
       (31638575*s[22])/10692 + (2137031*s[23])/396 + 
       (64021181*s[24])/10692 - (698535085*s[25])/96228 + 
       (456723985*s[26])/96228 + (16*s[29])/3 - 2*s[30] - (4*s[31])/3 - 
       (14*s[32])/3 - (15*s[33])/2 + 6*s[34] + 24*s[35] + (154*s[36])/9 + 
       (970*s[37])/9 + (710*s[38])/3 - (2459*s[39])/3 + (7241*s[40])/9 - 
       (1456*s[41])/3 + (10732*s[42])/9 + (5321*s[43])/9 - (17063*s[44])/36 + 
       (2041*s[45])/18 - (47585*s[46])/18 + (65665*s[47])/108 - 
       (54779*s[48])/108 - (205411*s[49])/108 + (10496*s[50])/9 + 
       (95441*s[51])/108 + (91007*s[52])/108 - (46591*s[53])/54 + 
       (13262*s[54])/9 - (153547*s[55])/36 - (74359*s[56])/36 + 
       (606751*s[57])/54 - (711757*s[58])/108 + (651443*s[59])/108 + 
       (10652719*s[60])/648 - (1819505*s[61])/2916 - (2*s[65])/3 + 
       (4*s[66])/3 - 8*s[67] + (68*s[68])/3 - (68*s[69])/3 - 4*s[70] + 
       (8*s[71])/3 - 4*s[72] - (32*s[73])/3 + (11*s[74])/3 - (11*s[75])/3 - 
       (22*s[76])/3 + 18*s[77] - (56*s[78])/3 + (80*s[79])/3 - 
       (298*s[80])/9 - 490*s[82] + s[83]/2 + 21*s[84] - 88*s[85])*
      \[Zeta][3] + HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      ((75*s[2])/2 - (479*s[3])/12 + (2391*s[4])/8 + (39779*s[5])/66 + 
       (293179*s[6])/264 + (42602419*s[7])/4752 - (3933289*s[8])/7128 - 
       (1274075*s[9])/162 - (713765*s[10])/324 - (47218225*s[11])/4752 - 
       (6427891*s[12])/594 - (10545665*s[13])/1584 - (8485657*s[14])/4752 - 
       (1648735*s[15])/144 - (320429*s[16])/22 - (52124927*s[17])/4752 - 
       (436025*s[18])/243 - (1964273*s[19])/1944 - (387119153*s[20])/21384 - 
       (296298679*s[21])/42768 + (204583595*s[22])/42768 + 
       (3438649*s[23])/396 + (26185433*s[24])/2673 - (2379789455*s[25])/
        192456 + (1370516999*s[26])/192456 + (4*s[29])/3 - 2*s[30] + 
       (62*s[31])/3 - (17*s[32])/3 - (25*s[33])/4 - 30*s[34] - 8*s[35] - 
       (272*s[36])/9 + (1427*s[37])/18 + (1889*s[38])/3 - (24425*s[39])/12 + 
       (79547*s[40])/36 - (19363*s[41])/12 + (100183*s[42])/36 + 
       (666157*s[43])/396 - (343235*s[44])/198 + (834283*s[45])/396 - 
       (1496357*s[46])/99 + (228131*s[47])/297 + (22349*s[48])/1188 - 
       (2224085*s[49])/297 + (2220149*s[50])/198 + (2447917*s[51])/1188 + 
       (2116885*s[52])/1188 - (2272591*s[53])/297 + (172709*s[54])/198 - 
       (19611641*s[55])/396 - (894781*s[56])/66 + (19496837*s[57])/1188 - 
       (88004399*s[58])/3564 + (87354515*s[59])/3564 + 
       (871370471*s[60])/7128 - (35748143*s[61])/5346 + 4*s[63] + 
       (7*s[65])/3 + (22*s[66])/3 - 10*s[67] + (2*s[68])/3 - (74*s[69])/3 + 
       8*s[70] - (19*s[71])/3 - 2*s[72] + (16*s[73])/3 - (29*s[74])/6 + 
       (29*s[75])/6 - (40*s[76])/3 - 9*s[77] + (16*s[78])/3 + (170*s[79])/3 + 
       (233*s[80])/9 - 490*s[82] + s[83]/2 + 21*s[84] - 88*s[85])*
      \[Zeta][3] + HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      (2*s[2] + (46*s[3])/3 + (3973*s[4])/2 + (80453*s[5])/66 + 
       (210643*s[6])/66 + (8596021*s[7])/297 - (4477135*s[8])/1782 - 
       (1982449*s[9])/81 - (550979*s[10])/81 - (38373325*s[11])/1188 - 
       (43012697*s[12])/1188 - (2190337*s[13])/99 - (691855*s[14])/297 - 
       (334484*s[15])/9 - (4729688*s[16])/99 - (41138573*s[17])/1188 - 
       (2580175*s[18])/486 - (955324*s[19])/243 - (149943028*s[20])/2673 - 
       (108609047*s[21])/5346 + (40880588*s[22])/2673 + 
       (14764037*s[23])/396 + (332022839*s[24])/10692 - 
       (4015392493*s[25])/96228 + (2176136491*s[26])/96228 + (16*s[29])/3 + 
       6*s[30] - (4*s[31])/3 + (4*s[32])/3 - (9*s[33])/2 + 14*s[35] - 
       (410*s[36])/9 + (2335*s[37])/9 + (3668*s[38])/3 - (14336*s[39])/3 + 
       (47288*s[40])/9 - (11842*s[41])/3 + (62566*s[42])/9 + 
       (382840*s[43])/99 - (1608247*s[44])/396 + (618047*s[45])/198 - 
       (5789929*s[46])/198 + (2506499*s[47])/1188 - (616621*s[48])/1188 - 
       (19963841*s[49])/1188 + (2123080*s[50])/99 + (5579455*s[51])/1188 + 
       (4835323*s[52])/1188 - (8585591*s[53])/594 + (207550*s[54])/99 - 
       (35611973*s[55])/396 - (1098453*s[56])/44 + (27138829*s[57])/594 - 
       (180882869*s[58])/3564 + (180204023*s[59])/3564 + 
       (1657648985*s[60])/7128 - (4475971*s[61])/396 - (2*s[65])/3 - 
       (2*s[66])/3 + (74*s[68])/3 - (50*s[69])/3 - 12*s[70] + (8*s[71])/3 + 
       12*s[72] - (8*s[73])/3 - (37*s[74])/3 + (37*s[75])/3 - (70*s[76])/3 + 
       28*s[77] + (76*s[78])/3 + (1532*s[79])/3 - (1546*s[80])/9 - 
       490*s[82] - (17*s[83])/2 + 75*s[84] - 88*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*((15*s[2])/2 + (3595*s[3])/12 + 
       (16105*s[4])/8 + (39481*s[5])/33 + (856825*s[6])/264 + 
       (133441021*s[7])/4752 - (17432587*s[8])/7128 - (1898005*s[9])/81 - 
       (2094977*s[10])/324 - (149915695*s[11])/4752 - (10552991*s[12])/297 - 
       (34638407*s[13])/1584 - (8434303*s[14])/4752 - (5115241*s[15])/144 - 
       (1526050*s[16])/33 - (158059337*s[17])/4752 - (2541757*s[18])/486 - 
       (7899575*s[19])/1944 - (1147060127*s[20])/21384 - 
       (817654153*s[21])/42768 + (626106461*s[22])/42768 + 
       (14510653*s[23])/396 + (161319511*s[24])/5346 - 
       (7917960551*s[25])/192456 + (4205628023*s[26])/192456 + (16*s[29])/3 + 
       6*s[30] + (14*s[31])/3 + (43*s[32])/3 - (47*s[33])/4 - 20*s[34] - 
       11*s[35] - (218*s[36])/9 + (2537*s[37])/18 + (3518*s[38])/3 - 
       (46841*s[39])/12 + (154283*s[40])/36 - (38317*s[41])/12 + 
       (193873*s[42])/36 + (1326901*s[43])/396 - (670187*s[44])/198 + 
       (1493035*s[45])/396 - (2799464*s[46])/99 + (866527*s[47])/594 + 
       (279767*s[48])/1188 - (8693515*s[49])/594 + (2066176*s[50])/99 + 
       (4504417*s[51])/1188 + (3999001*s[52])/1188 - (4203409*s[53])/297 + 
       (150892*s[54])/99 - (36197147*s[55])/396 - (2484455*s[56])/99 + 
       (38966305*s[57])/1188 - (18481411*s[58])/396 + (54993731*s[59])/1188 + 
       (1632882341*s[60])/7128 - (194579993*s[61])/16038 + (16*s[65])/3 + 
       (34*s[66])/3 - 16*s[67] + (26*s[68])/3 - (134*s[69])/3 - 10*s[70] - 
       (28*s[71])/3 - 2*s[72] + (16*s[73])/3 - (29*s[74])/6 + (29*s[75])/6 - 
       (88*s[76])/3 + 43*s[77] - (8*s[78])/3 + (590*s[79])/3 + (83*s[80])/9 - 
       490*s[82] - (17*s[83])/2 + 75*s[84] - 88*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*((-395*s[2])/12 + (839*s[3])/24 - 
       (14695*s[4])/16 - (99125*s[5])/132 - (947113*s[6])/528 - 
       (153591437*s[7])/9504 + (18267619*s[8])/14256 + (8897401*s[9])/648 + 
       (2730293*s[10])/648 + (168403879*s[11])/9504 + (91717225*s[12])/4752 + 
       (110742107*s[13])/9504 + (20735581*s[14])/9504 + 
       (18599323*s[15])/864 + (129204943*s[16])/4752 + 
       (22117933*s[17])/1056 + (2840185*s[18])/972 + (8937449*s[19])/3888 + 
       (1376687525*s[20])/42768 + (1002416467*s[21])/85536 - 
       (731195687*s[22])/85536 - (43280323*s[23])/2376 - 
       (188599225*s[24])/10692 + (1082678089*s[25])/48114 - 
       (2386220371*s[26])/192456 - 3*s[29] - (62*s[31])/3 + s[32]/3 - 
       (493*s[33])/24 + (64*s[34])/3 + (61*s[35])/3 + (290*s[36])/9 - 
       (1007*s[37])/18 - (3287*s[38])/6 + (26827*s[39])/12 - 
       (90401*s[40])/36 + (8009*s[41])/4 - (232859*s[42])/72 - 
       (806683*s[43])/396 + (1685495*s[44])/792 - (234331*s[45])/99 + 
       (7302653*s[46])/396 - (1630669*s[47])/2376 - (883483*s[48])/2376 + 
       (5524681*s[49])/594 - (5667295*s[50])/396 - (2623723*s[51])/1188 - 
       (4152065*s[52])/2376 + (23677265*s[53])/2376 - (75901*s[54])/396 + 
       (5585045*s[55])/88 + (6520139*s[56])/396 - (16691827*s[57])/1188 + 
       (66607169*s[58])/2376 - (2834804*s[59])/99 - (135783388*s[60])/891 + 
       (1031047951*s[61])/128304 - (7*s[65])/6 - (11*s[66])/3 + 
       (19*s[67])/3 - (5*s[68])/3 + (46*s[69])/3 - (11*s[70])/3 + 
       (2*s[71])/3 - (14*s[72])/3 - 4*s[73] + (17*s[74])/2 - (17*s[75])/2 + 
       (46*s[76])/3 - (29*s[77])/3 - (35*s[78])/3 - (649*s[79])/3 + 
       (397*s[80])/9 - 318*s[82] + (11*s[83])/4 - (213*s[84])/2 - 52*s[85])*
      \[Zeta][3] + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      ((-127*s[2])/12 + (125*s[3])/8 - (42253*s[4])/48 - (59789*s[5])/88 - 
       (875867*s[6])/528 - (141353381*s[7])/9504 + (17329691*s[8])/14256 + 
       (8154203*s[9])/648 + (2482051*s[10])/648 + (155363921*s[11])/9504 + 
       (85063625*s[12])/4752 + (34342843*s[13])/3168 + 
       (17937851*s[14])/9504 + (1883543*s[15])/96 + (822628*s[16])/33 + 
       (181146223*s[17])/9504 + (5172955*s[18])/1944 + (8506891*s[19])/3888 + 
       (1256253763*s[20])/42768 + (903329549*s[21])/85536 - 
       (671147821*s[22])/85536 - (26497645*s[23])/1584 - 
       (696487391*s[24])/42768 + (8038148743*s[25])/384912 - 
       (4366055737*s[26])/384912 - 4*s[29] - (28*s[31])/3 - (11*s[32])/6 + 
       (199*s[33])/24 + (23*s[34])/3 + (56*s[35])/3 + (317*s[36])/9 - 
       (281*s[37])/4 - 530*s[38] + (8441*s[39])/4 - (84065*s[40])/36 + 
       (10933*s[41])/6 - (220181*s[42])/72 - (725407*s[43])/396 + 
       (3032053*s[44])/1584 - (535787*s[45])/264 + (12915941*s[46])/792 - 
       (3655667*s[47])/4752 - (791135*s[48])/4752 + (39329027*s[49])/4752 - 
       (4950079*s[50])/396 - (10295917*s[51])/4752 - (8162017*s[52])/4752 + 
       (10289951*s[53])/1188 - (47381*s[54])/99 + (86476783*s[55])/1584 + 
       (68805413*s[56])/4752 - (26955331*s[57])/1782 + 
       (1091593969*s[58])/42768 - (1097828125*s[59])/42768 - 
       (3799741079*s[60])/28512 + (675676165*s[61])/96228 - s[65]/6 - 
       (5*s[66])/3 + (13*s[67])/3 - (29*s[68])/3 + (46*s[69])/3 - 
       (5*s[70])/3 - (4*s[71])/3 - (4*s[72])/3 - (19*s[73])/3 + 
       (55*s[74])/6 - (55*s[75])/6 + 8*s[76] - (52*s[77])/3 + (4*s[78])/3 - 
       202*s[79] + (377*s[80])/6 - 318*s[82] + (11*s[83])/4 - (213*s[84])/2 - 
       52*s[85])*\[Zeta][3] + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      ((-31*s[2])/2 - (83*s[3])/4 - (6961*s[4])/12 - (40939*s[5])/66 - 
       (86923*s[6])/66 - (28137691*s[7])/2376 + (2954497*s[8])/3564 + 
       (6559195*s[9])/648 + (1078657*s[10])/324 + (60852749*s[11])/4752 + 
       (32409257*s[12])/2376 + (4293341*s[13])/528 + (10483733*s[14])/4752 + 
       (586951*s[15])/36 + (32061893*s[16])/1584 + (77878573*s[17])/4752 + 
       (4200815*s[18])/1944 + (3486937*s[19])/1944 + (259831763*s[20])/
        10692 + (383493137*s[21])/42768 - (266922319*s[22])/42768 - 
       (6325987*s[23])/528 - (561585403*s[24])/42768 + 
       (6162889625*s[25])/384912 - (3487559219*s[26])/384912 - (28*s[29])/3 + 
       s[30]/2 - (47*s[31])/3 - (17*s[32])/6 - (371*s[33])/24 + 
       (97*s[34])/6 + (97*s[35])/6 + (170*s[36])/9 - 61*s[37] - 
       (1949*s[38])/6 + (11335*s[39])/8 - (114103*s[40])/72 + 
       (29297*s[41])/24 - (150257*s[42])/72 - (87715*s[43])/72 + 
       (188537*s[44])/144 - (18497*s[45])/12 + (849331*s[46])/72 - 
       (215881*s[47])/432 - (33823*s[48])/432 + (2423719*s[49])/432 - 
       (164299*s[50])/18 - (609311*s[51])/432 - (488531*s[52])/432 + 
       (173554*s[53])/27 - (3355*s[54])/9 + (5888095*s[55])/144 + 
       (4648393*s[56])/432 - (5863229*s[57])/648 + (70142429*s[58])/3888 - 
       (71192279*s[59])/3888 - (250831105*s[60])/2592 + 
       (181161749*s[61])/34992 - (7*s[65])/6 - (11*s[66])/3 + (29*s[67])/3 + 
       (5*s[68])/3 + (53*s[69])/3 + (2*s[70])/3 - (4*s[71])/3 - s[72]/3 - 
       (58*s[73])/3 + (29*s[74])/4 - (29*s[75])/4 + (73*s[76])/3 - 
       (29*s[77])/6 - (4*s[78])/3 - 158*s[79] + (103*s[80])/3 - 316*s[82] + 
       (11*s[83])/4 - (197*s[84])/2 - 36*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*((3*s[2])/4 + (251*s[3])/8 - 
       (28321*s[4])/48 - (1912*s[5])/3 - (64873*s[6])/48 - 
       (10587881*s[7])/864 + (1123007*s[8])/1296 + (6803431*s[9])/648 + 
       (2274365*s[10])/648 + (11375741*s[11])/864 + (1503959*s[12])/108 + 
       (2383469*s[13])/288 + (2139533*s[14])/864 + (4892083*s[15])/288 + 
       (3019559*s[16])/144 + (14835559*s[17])/864 + (1089173*s[18])/486 + 
       (7055573*s[19])/3888 + (98299909*s[20])/3888 + (73282187*s[21])/7776 - 
       (50347843*s[22])/7776 - (1751609*s[23])/144 - (52770395*s[24])/3888 + 
       (286158455*s[25])/17496 - (82311349*s[26])/8748 - (28*s[29])/3 - 
       (3*s[30])/2 - (17*s[31])/3 - (17*s[32])/6 - (29*s[33])/6 + 
       (19*s[34])/6 + (8*s[35])/3 + (391*s[36])/18 - (547*s[37])/12 - 
       (1987*s[38])/6 + (35227*s[39])/24 - (122437*s[40])/72 + 
       (32471*s[41])/24 - (155369*s[42])/72 - (1101911*s[43])/792 + 
       (2321569*s[44])/1584 - (485129*s[45])/264 + (5370859*s[46])/396 - 
       (1769003*s[47])/4752 - (1574105*s[48])/4752 + (30034877*s[49])/4752 - 
       (1052779*s[50])/99 - (6851161*s[51])/4752 - (5386339*s[52])/4752 + 
       (17885293*s[53])/2376 - (71135*s[54])/396 + (8534169*s[55])/176 + 
       (60118643*s[56])/4752 - (55717477*s[57])/7128 + 
       (856733575*s[58])/42768 - (881903641*s[59])/42768 - 
       (3215205485*s[60])/28512 + (2340478399*s[61])/384912 + 2*s[63] - 
       (13*s[65])/6 - (17*s[66])/3 + (38*s[67])/3 + (32*s[68])/3 + 
       (50*s[69])/3 + (20*s[70])/3 + (5*s[71])/3 + (2*s[72])/3 - 
       (22*s[73])/3 + (9*s[74])/2 - (9*s[75])/2 + (73*s[76])/3 - 
       (28*s[77])/3 - (31*s[78])/3 - 231*s[79] + (93*s[80])/2 - 316*s[82] + 
       (11*s[83])/4 - (197*s[84])/2 - 36*s[85])*\[Zeta][3] + 
     HPL[{0, 0, 1, 1}, 1 - w]*(-32*s[2] - (1336*s[3])/3 - 1661*s[4] - 
       (139457*s[5])/66 - (236317*s[6])/66 - (10658587*s[7])/297 + 
       (4086877*s[8])/1782 + (4984283*s[9])/162 + (1721203*s[10])/162 + 
       (11556724*s[11])/297 + (12290075*s[12])/297 + (2382529*s[13])/99 + 
       (2085379*s[14])/297 + (898297*s[15])/18 + (6115721*s[16])/99 + 
       (29670505*s[17])/594 + (3643327*s[18])/486 + (1287370*s[19])/243 + 
       (202794178*s[20])/2673 + (154428425*s[21])/5346 - 
       (50398250*s[22])/2673 - (7498921*s[23])/198 - (213021025*s[24])/5346 + 
       (4599526153*s[25])/96228 - (2710450777*s[26])/96228 - (76*s[29])/3 + 
       8*s[30] - (68*s[31])/3 - (58*s[32])/3 + 8*s[33] + 32*s[34] - 
       24*s[35] + (458*s[36])/9 - (899*s[37])/9 - (3692*s[38])/3 + 
       3693*s[39] - (37163*s[40])/9 + (9064*s[41])/3 - (43963*s[42])/9 - 
       (333241*s[43])/99 + (1313425*s[44])/396 - (1018777*s[45])/198 + 
       (2177095*s[46])/66 - (1331369*s[47])/1188 - (884813*s[48])/1188 + 
       (17995523*s[49])/1188 - (2499049*s[50])/99 - (3846757*s[51])/1188 - 
       (3589309*s[52])/1188 + (3438425*s[53])/198 + (5569*s[54])/33 + 
       (15257609*s[55])/132 + (36865189*s[56])/1188 - (45928859*s[57])/1782 + 
       (554720909*s[58])/10692 - (560503787*s[59])/10692 - 
       (1953285095*s[60])/7128 + (1487817479*s[61])/96228 - (26*s[65])/3 - 
       (68*s[66])/3 + 28*s[67] - (52*s[68])/3 + (256*s[69])/3 - 48*s[70] + 
       (32*s[71])/3 + 12*s[72] - (64*s[73])/3 - (23*s[74])/3 + (23*s[75])/3 + 
       (92*s[76])/3 - 6*s[77] + (32*s[78])/3 - (368*s[79])/3 - 
       (970*s[80])/9 - 52*s[82] + 10*s[83] - 36*s[84] - 32*s[85])*
      \[Zeta][3] + HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      ((47*s[2])/2 - (227*s[3])/4 + (6033*s[4])/8 + (11009*s[5])/22 + 
       (115103*s[6])/88 + (2190559*s[7])/176 - (2027665*s[8])/2376 - 
       (286609*s[9])/27 - (359057*s[10])/108 - (22051081*s[11])/1584 - 
       (1519277*s[12])/99 - (15047443*s[13])/1584 - (2348545*s[14])/1584 - 
       (2348633*s[15])/144 - (8234581*s[16])/396 - (24778327*s[17])/1584 - 
       (155921*s[18])/81 - (1434365*s[19])/648 - (174227117*s[20])/7128 - 
       (125769607*s[21])/14256 + (94859555*s[22])/14256 + 
       (2562775*s[23])/198 + (50767661*s[24])/3564 - (1141226831*s[25])/
        64152 + (619018283*s[26])/64152 + 4*s[31] + 11*s[32] + 
       (127*s[33])/4 - 26*s[34] - 30*s[35] - (100*s[36])/3 + (878*s[37])/9 + 
       512*s[38] - (25877*s[39])/12 + (29045*s[40])/12 - (7603*s[41])/4 + 
       (37639*s[42])/12 + (259555*s[43])/132 - (138113*s[44])/66 + 
       (154885*s[45])/198 - (4488053*s[46])/396 + (127627*s[47])/198 + 
       (112133*s[48])/396 - (1739005*s[49])/198 + (187579*s[50])/22 + 
       (839923*s[51])/396 + (631327*s[52])/396 - (1670275*s[53])/297 + 
       (44471*s[54])/198 - (13031837*s[55])/396 - (4537231*s[56])/594 + 
       (61617107*s[57])/3564 - (99653393*s[58])/5346 + 
       (208349599*s[59])/10692 + (18611807*s[60])/198 - 
       (639327629*s[61])/192456 + 4*s[63] - (13*s[65])/3 - (34*s[66])/3 + 
       18*s[67] - (38*s[68])/3 + (134*s[69])/3 - 10*s[70] + (13*s[71])/3 + 
       14*s[72] - 22*s[73] - (21*s[74])/2 + (21*s[75])/2 + (82*s[76])/3 - 
       13*s[77] + 6*s[78] + 280*s[79] - (1436*s[80])/9 + 18*s[82] + 
       (21*s[83])/2 - 15*s[84] - 24*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*(7*s[2] + (377*s[3])/2 + 
       (1695*s[4])/4 + (2510*s[5])/11 + (30955*s[6])/44 + (481649*s[7])/88 - 
       (517669*s[8])/1188 - (119450*s[9])/27 - (35287*s[10])/27 - 
       (4933789*s[11])/792 - (2755261*s[12])/396 - (3495301*s[13])/792 - 
       (170983*s[14])/792 - (514559*s[15])/72 - (908285*s[16])/99 - 
       (5407939*s[17])/792 - (73654*s[18])/81 - (356519*s[19])/324 - 
       (36169289*s[20])/3564 - (25917709*s[21])/7128 + 
       (19671389*s[22])/7128 + (2764177*s[23])/396 + (22171789*s[24])/3564 - 
       (66091760*s[25])/8019 + (34735733*s[26])/8019 + 4*s[31] + 13*s[32] + 
       (45*s[33])/2 - 16*s[34] - 20*s[35] - (52*s[36])/3 + (140*s[37])/9 + 
       282*s[38] - (3107*s[39])/3 + (3509*s[40])/3 - 894*s[41] + 
       (4270*s[42])/3 + (30565*s[43])/33 - (32965*s[44])/33 + 
       (130045*s[45])/198 - (1175389*s[46])/198 + (54937*s[47])/198 + 
       (27679*s[48])/198 - (823249*s[49])/198 + (48203*s[50])/11 + 
       (197825*s[51])/198 + (79249*s[52])/99 - (885862*s[53])/297 + 
       (13789*s[54])/99 - (3650599*s[55])/198 - (2668003*s[56])/594 + 
       (7425734*s[57])/891 - (26598835*s[58])/2673 + (55871993*s[59])/5346 + 
       (4763447*s[60])/99 - (218918737*s[61])/96228 - (4*s[65])/3 - 
       (16*s[66])/3 + 4*s[67] - (44*s[68])/3 + (80*s[69])/3 - 16*s[70] + 
       (4*s[71])/3 - 12*s[73] - 2*s[74] + 2*s[75] + (10*s[76])/3 + 12*s[78] - 
       32*s[79] + (58*s[80])/9 + 18*s[82] + (21*s[83])/2 - 15*s[84] - 
       24*s[85])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*((8*s[2])/3 - (39*s[3])/4 - (6497*s[4])/24 - 
       (7555*s[5])/88 - (88541*s[6])/264 - (1317535*s[7])/396 + 
       (794657*s[8])/2376 + (586333*s[9])/216 + (201941*s[10])/216 + 
       (5621849*s[11])/1584 + (5991781*s[12])/1584 + (1777991*s[13])/792 + 
       (167119*s[14])/792 + (86159*s[15])/18 + (4630259*s[16])/792 + 
       (2520949*s[17])/528 + (306425*s[18])/648 + (213851*s[19])/324 + 
       (45774151*s[20])/7128 + (15293899*s[21])/7128 - 
       (12256655*s[22])/7128 - (6478253*s[23])/1584 - 
       (53831293*s[24])/14256 + (599481293*s[25])/128304 - 
       (308588117*s[26])/128304 - 2*s[30] + (2*s[31])/3 + (17*s[32])/4 - 
       (37*s[33])/8 - (13*s[34])/3 - (4*s[35])/3 + (455*s[36])/36 + 
       (607*s[37])/36 - (95*s[38])/4 + (3613*s[39])/16 - (36281*s[40])/144 + 
       (3671*s[41])/16 - (60043*s[42])/144 - (247915*s[43])/1584 + 
       (555365*s[44])/3168 - (7955*s[45])/99 + (699911*s[46])/528 - 
       (1025623*s[47])/9504 + (1288931*s[48])/9504 + (6713689*s[49])/9504 - 
       (475633*s[50])/396 - (2480069*s[51])/9504 - (1450583*s[52])/9504 + 
       (735773*s[53])/792 - (535*s[54])/132 + (16160759*s[55])/3168 + 
       (9999035*s[56])/9504 - (2620049*s[57])/1782 + (166051561*s[58])/
        85536 - (199276663*s[59])/85536 - (568176595*s[60])/57024 + 
       (392502391*s[61])/769824 + s[65]/2 + s[66] - s[67] + (13*s[68])/3 - 
       (25*s[69])/3 + (7*s[70])/2 + 2*s[71] - 6*s[72] + (7*s[73])/2 + 
       (13*s[74])/3 - (13*s[75])/3 + (7*s[76])/3 + (29*s[77])/6 - 
       (35*s[78])/6 - (112*s[79])/3 - (73*s[80])/9 + 173*s[82] + s[83]/4 - 
       (67*s[84])/2 + 2*s[85])*\[Zeta][3] + HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*((-5*s[2])/4 - (359*s[3])/24 - (18335*s[4])/48 - 
       (11729*s[5])/48 - (5191*s[6])/8 - (1757371*s[7])/288 + 
       (13630*s[8])/27 + (2208529*s[9])/432 + (735713*s[10])/432 + 
       (1903549*s[11])/288 + (255607*s[12])/36 + (407989*s[13])/96 + 
       (207013*s[14])/288 + (811747*s[15])/96 + (250955*s[16])/24 + 
       (2412881*s[17])/288 + (1335389*s[18])/1296 + (1351351*s[19])/1296 + 
       (15641741*s[20])/1296 + (11231545*s[21])/2592 - (8255039*s[22])/2592 - 
       (327125*s[23])/48 - (8758885*s[24])/1296 + (196614073*s[25])/23328 - 
       (107311285*s[26])/23328 - s[31] + (8*s[32])/3 - (9*s[33])/2 + 
       7*s[34] + (7*s[35])/2 + (217*s[36])/12 + (37*s[37])/8 - 
       (379*s[38])/3 + (27545*s[39])/48 - (9863*s[40])/16 + (8279*s[41])/16 - 
       (14275*s[42])/16 - (21101*s[43])/48 + (45241*s[44])/96 - 
       (6603*s[45])/16 + (31095*s[46])/8 - (23465*s[47])/96 + 
       (7097*s[48])/96 + (65665*s[49])/32 - (9385*s[50])/3 - 
       (18917*s[51])/32 - (14255*s[52])/32 + (19610*s[53])/9 + 
       (833*s[54])/12 + (3832733*s[55])/288 + (925319*s[56])/288 - 
       (454963*s[57])/108 + (15951871*s[58])/2592 - (16705495*s[59])/2592 - 
       (1977551*s[60])/64 + (2317321*s[61])/1458 + (10*s[68])/3 - 
       (10*s[69])/3 + (3*s[70])/2 + (5*s[71])/2 - 5*s[72] - 8*s[73] + 
       (29*s[74])/4 - (29*s[75])/4 - 3*s[76] + (13*s[77])/3 - s[78] - 
       50*s[79] - (89*s[80])/12 + 173*s[82] + s[83]/4 - (67*s[84])/2 + 
       2*s[85])*\[Zeta][3] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*(4*s[2] - (251*s[3])/6 - (416*s[4])/3 - 
       (1901*s[5])/66 - (7775*s[6])/44 - (891529*s[7])/792 + 
       (10031*s[8])/66 + (2368*s[9])/3 + (4369*s[10])/12 + (34757*s[11])/33 + 
       (249179*s[12])/264 + (385217*s[13])/792 + (56669*s[14])/264 + 
       (151123*s[15])/72 + (220927*s[16])/99 + (921923*s[17])/396 + 
       (23539*s[18])/108 + (13561*s[19])/54 + (2555735*s[20])/1188 + 
       (2035529*s[21])/2376 - (42817*s[22])/88 - (1309195*s[23])/792 - 
       (1056719*s[24])/792 + (28624559*s[25])/21384 - 
       (18141935*s[26])/21384 + 2*s[29] + 2*s[30] + 12*s[31] + (5*s[32])/3 + 
       10*s[33] - 14*s[34] - 15*s[35] - (44*s[36])/3 + (121*s[37])/2 + 
       (38*s[38])/3 + (25*s[39])/6 - (7*s[40])/2 + 76*s[41] - (353*s[42])/4 - 
       (5129*s[43])/66 - (2755*s[44])/264 - (4241*s[45])/33 + 
       (58159*s[46])/66 + (1733*s[47])/88 - (17725*s[48])/264 + 
       (20285*s[49])/264 - (55369*s[50])/66 - (6169*s[51])/88 + 
       (4889*s[52])/264 + (75764*s[53])/99 - (3657*s[54])/22 + 
       (3749653*s[55])/792 + (988445*s[56])/792 + (403481*s[57])/297 + 
       (5340325*s[58])/7128 - (8493061*s[59])/7128 - (10179787*s[60])/1584 + 
       (22753967*s[61])/32076 + 4*s[63] + s[65] + 6*s[66] - 10*s[67] + 
       (10*s[68])/3 - (76*s[69])/3 + 5*s[71] - 10*s[72] + 16*s[73] - 
       s[74]/2 + s[75]/2 - 20*s[76] + (25*s[77])/3 + 4*s[78] + 48*s[79] - 
       27*s[80] + 338*s[82] - 2*s[83] + 20*s[84] + 8*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      ((49*s[2])/6 - (91*s[3])/4 - (4535*s[4])/24 - (1517*s[5])/44 - 
       (57785*s[6])/264 - (3556109*s[7])/1584 + (465229*s[8])/2376 + 
       (48460*s[9])/27 + (18023*s[10])/27 + (3807883*s[11])/1584 + 
       (2046607*s[12])/792 + (2482943*s[13])/1584 + (225481*s[14])/1584 + 
       (156853*s[15])/48 + (3086761*s[16])/792 + (554353*s[17])/176 + 
       (76235*s[18])/324 + (375257*s[19])/648 + (30173093*s[20])/7128 + 
       (19463311*s[21])/14256 - (16095263*s[22])/14256 - (832747*s[23])/396 - 
       (9937595*s[24])/3564 + (204424541*s[25])/64152 - 
       (104094827*s[26])/64152 + 6*s[29] + 4*s[30] + (32*s[31])/3 + 4*s[32] + 
       (31*s[33])/4 + (14*s[34])/3 + (41*s[35])/3 + (50*s[36])/9 + 
       (28*s[37])/9 + 3*s[38] - (327*s[39])/4 + (5623*s[40])/36 - 
       (467*s[41])/4 + (503*s[42])/9 + (35261*s[43])/396 - (22889*s[44])/99 + 
       (147919*s[45])/396 - (22214*s[46])/11 - (31633*s[47])/594 + 
       (236869*s[48])/1188 - (498815*s[49])/594 + (167687*s[50])/99 + 
       (31121*s[51])/1188 - (1795*s[52])/1188 - (151423*s[53])/132 - 
       (4126*s[54])/11 - (3150401*s[55])/396 - (1106731*s[56])/594 - 
       (1834441*s[57])/3564 - (27330661*s[58])/10692 + 
       (27608149*s[59])/10692 + (130966993*s[60])/7128 - 
       (50878847*s[61])/48114 + s[65] + 4*s[66] - 8*s[67] - (2*s[68])/3 - 
       (40*s[69])/3 + 2*s[70] + 4*s[71] - 4*s[72] - 2*s[73] + (4*s[74])/3 - 
       (4*s[75])/3 - (50*s[76])/3 - (2*s[77])/3 + (14*s[78])/3 + 
       (128*s[79])/3 - (226*s[80])/9 + 338*s[82] - 2*s[83] + 20*s[84] + 
       8*s[85])*\[Zeta][3] + HPL[{0, 0, 1, 1}, 1 - v]*
      (10*s[2] + (185*s[3])/3 - 774*s[4] - (35404*s[5])/33 - 
       (58727*s[6])/33 - (20156479*s[7])/1188 + (1210334*s[8])/891 + 
       (2391467*s[9])/162 + (336575*s[10])/81 + (22177363*s[11])/1188 + 
       (6066956*s[12])/297 + (542587*s[13])/44 + (2853745*s[14])/1188 + 
       (267587*s[15])/12 + (2795467*s[16])/99 + (25513859*s[17])/1188 + 
       (1612609*s[18])/486 + (1009319*s[19])/486 + (182096687*s[20])/5346 + 
       (138767107*s[21])/10692 - (96454211*s[22])/10692 - (661417*s[23])/33 - 
       (48439442*s[24])/2673 + (2255947219*s[25])/96228 - 
       (1285717267*s[26])/96228 - (4*s[29])/3 + 10*s[30] - (8*s[31])/3 + 
       (26*s[32])/3 + (93*s[33])/2 - 6*s[34] - 12*s[35] + (410*s[36])/9 - 
       (773*s[37])/9 - (2504*s[38])/3 + (4935*s[39])/2 - (48859*s[40])/18 + 
       (11609*s[41])/6 - (59231*s[42])/18 - (415145*s[43])/198 + 
       (815413*s[44])/396 - (677389*s[45])/198 + (237425*s[46])/11 - 
       (1102991*s[47])/1188 - (58673*s[48])/1188 + (11161829*s[49])/1188 - 
       (1634440*s[50])/99 - (2588857*s[51])/1188 - (2486587*s[52])/1188 + 
       (376163*s[53])/33 - (4186*s[54])/33 + (10040341*s[55])/132 + 
       (24604243*s[56])/1188 - (16731211*s[57])/891 + 
       (370840535*s[58])/10692 - (373604435*s[59])/10692 - 
       (1265788133*s[60])/7128 + (245338712*s[61])/24057 - 8*s[63] - 
       (20*s[65])/3 - (56*s[66])/3 + 24*s[67] - (40*s[68])/3 + 
       (208*s[69])/3 - 20*s[70] + (20*s[71])/3 + 8*s[72] - (64*s[73])/3 - 
       (14*s[74])/3 + (14*s[75])/3 + (104*s[76])/3 - 16*s[77] + (8*s[78])/3 - 
       (272*s[79])/3 - (898*s[80])/9 + 228*s[82] + 10*s[83] - 36*s[84] + 
       16*s[85])*\[Zeta][3] + HPL[{0, 0, 1, 1}, 1 - u]*
      (-19*s[2] - (419*s[3])/6 - (2383*s[4])/4 - (24781*s[5])/33 - 
       (178067*s[6])/132 - (29677973*s[7])/2376 + (3217997*s[8])/3564 + 
       (1723577*s[9])/162 + (513625*s[10])/162 + (33115607*s[11])/2376 + 
       (9147703*s[12])/594 + (2480201*s[13])/264 + (3754103*s[14])/2376 + 
       (128869*s[15])/8 + (2034907*s[16])/99 + (36561901*s[17])/2376 + 
       (1133971*s[18])/486 + (1895563*s[19])/972 + (264215983*s[20])/10692 + 
       (196985609*s[21])/21384 - (139851469*s[22])/21384 - 
       (150864*s[23])/11 - (74758639*s[24])/5346 + (848898527*s[25])/48114 - 
       (470206211*s[26])/48114 - (4*s[29])/3 + 6*s[30] - (20*s[31])/3 - 
       (22*s[32])/3 + 9*s[33] - 2*s[34] - 4*s[35] - (322*s[36])/9 - 
       (614*s[37])/9 - (2072*s[38])/3 + (3525*s[39])/2 - (31825*s[40])/18 + 
       (6929*s[41])/6 - (39491*s[42])/18 - (328751*s[43])/198 + 
       (524815*s[44])/396 - (207734*s[45])/99 + (912379*s[46])/66 - 
       (805133*s[47])/1188 - (381347*s[48])/1188 + (8241263*s[49])/1188 - 
       (984868*s[50])/99 - (1756927*s[51])/1188 - (1744945*s[52])/1188 + 
       (682285*s[53])/99 - (20114*s[54])/33 + (5959099*s[55])/132 + 
       (14484661*s[56])/1188 - (10807744*s[57])/891 + 
       (235170935*s[58])/10692 - (232520525*s[59])/10692 - 
       (816307277*s[60])/7128 + (577748975*s[61])/96228 - 16*s[63] - 
       (8*s[65])/3 - (32*s[66])/3 + 16*s[67] - (112*s[68])/3 + 
       (172*s[69])/3 - 28*s[70] + (8*s[71])/3 + 8*s[72] + (92*s[73])/3 - 
       (26*s[74])/3 + (26*s[75])/3 + (32*s[76])/3 - 36*s[77] + 
       (116*s[78])/3 + (112*s[79])/3 - (184*s[80])/9 + 228*s[82] + 10*s[83] - 
       36*s[84] + 16*s[85])*\[Zeta][3] + HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
      ((-16*s[2])/3 + 18*s[3] - (43*s[4])/3 + (703*s[5])/88 + 
       (2127*s[6])/88 + (37861*s[7])/792 + (94993*s[8])/2376 - 
       (9343*s[9])/216 - (28367*s[10])/216 - (18079*s[11])/792 + 
       (33043*s[12])/792 + (7575*s[13])/88 - (121835*s[14])/396 - 
       (956*s[15])/9 - (52231*s[16])/264 - (266603*s[17])/792 - 
       (20527*s[18])/324 - (9865*s[19])/648 - (3154423*s[20])/7128 - 
       (1427467*s[21])/7128 + (76165*s[22])/3564 - (125245*s[23])/264 + 
       (1007729*s[24])/7128 + (13443307*s[25])/128304 + 
       (6259529*s[26])/128304 - (16*s[31])/3 - (13*s[33])/4 + (29*s[34])/3 + 
       (29*s[35])/3 + (163*s[36])/18 - (377*s[37])/36 - (51*s[38])/2 + 
       (2357*s[39])/24 - (5347*s[40])/72 + (373*s[41])/8 - (11075*s[42])/72 - 
       (27257*s[43])/792 + (35947*s[44])/1584 + (30287*s[45])/792 + 
       (585*s[46])/44 - (497561*s[47])/4752 + (831877*s[48])/4752 + 
       (592157*s[49])/4752 + (4931*s[50])/99 - (402097*s[51])/4752 - 
       (379849*s[52])/4752 + (391*s[53])/22 - (1577*s[54])/44 - 
       (409127*s[55])/1584 - (817985*s[56])/4752 - (4591525*s[57])/3564 + 
       (14780951*s[58])/42768 - (19211831*s[59])/42768 + 
       (27667531*s[60])/28512 - (18428717*s[61])/192456 - (8*s[68])/3 + 
       (8*s[69])/3 + (4*s[74])/3 - (4*s[75])/3 + (16*s[76])/3 - (8*s[77])/3 - 
       (16*s[78])/3 + (56*s[79])/3 - (305*s[80])/18 + 164*s[82] + 32*s[85])*
      \[Zeta][3] + HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      ((5*s[2])/2 + (104*s[3])/3 + (51*s[4])/4 + (4963*s[5])/132 + 
       (4291*s[6])/44 + (546133*s[7])/792 + (1157*s[8])/1188 - 
       (31663*s[9])/54 - (31561*s[10])/108 - (296501*s[11])/396 - 
       (149783*s[12])/198 - (111029*s[13])/264 - (151805*s[14])/396 - 
       (66893*s[15])/72 - (166043*s[16])/132 - (222029*s[17])/198 - 
       (60823*s[18])/324 - (32915*s[19])/324 - (12162517*s[20])/7128 - 
       (4799293*s[21])/7128 + (316114*s[22])/891 + (17965*s[23])/88 + 
       (5823635*s[24])/7128 - (13067479*s[25])/16038 + 
       (36328207*s[26])/64152 + (5*s[32])/3 + 2*s[36] - 6*s[37] + 
       (43*s[38])/6 - (59*s[39])/3 + (116*s[40])/3 - (473*s[41])/12 + 
       (14*s[42])/3 + (1741*s[43])/33 - (9323*s[44])/132 + (10529*s[45])/66 - 
       (9138*s[46])/11 - (8849*s[47])/198 + (61469*s[48])/396 - 
       (62575*s[49])/198 + (21544*s[50])/33 + (1024*s[51])/99 + 
       (5881*s[52])/396 - (52859*s[53])/132 - (1778*s[54])/33 - 
       (395045*s[55])/132 - (177197*s[56])/198 - (422639*s[57])/1188 - 
       (954341*s[58])/891 + (846872*s[59])/891 + (2264491*s[60])/297 - 
       (29612911*s[61])/64152 - (8*s[68])/3 + (8*s[69])/3 - 3*s[76] - 
       (8*s[77])/3 + s[80] + 164*s[82] + 32*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*(s[1]/3 + (11*s[2])/3 + (80*s[3])/3 + 
       (58*s[4])/3 + (435*s[5])/11 + (12659*s[6])/132 + (681817*s[7])/792 - 
       (17905*s[8])/594 - (77719*s[9])/108 - (19627*s[10])/54 - 
       (91627*s[11])/99 - (91052*s[12])/99 - (427393*s[13])/792 - 
       (123391*s[14])/396 - (30923*s[15])/24 - (318331*s[16])/198 - 
       (64995*s[17])/44 - (33929*s[18])/324 - (84643*s[19])/324 - 
       (13924703*s[20])/7128 - (4929101*s[21])/7128 + (790975*s[22])/1782 + 
       (141239*s[23])/792 + (8345305*s[24])/7128 - (8923777*s[25])/8019 + 
       (41557745*s[26])/64152 - (4*s[32])/3 - (29*s[37])/3 + (15*s[38])/2 - 
       (29*s[39])/3 + 26*s[40] - (109*s[41])/6 - (91*s[42])/3 + 
       (2209*s[43])/33 - (11293*s[44])/132 + (13217*s[45])/66 - 
       (10771*s[46])/11 - (17615*s[47])/198 + (78653*s[48])/396 - 
       (170399*s[49])/396 + (55267*s[50])/66 - (13595*s[51])/396 - 
       (15797*s[52])/396 - (76055*s[53])/132 - (13561*s[54])/66 - 
       (545419*s[55])/132 - (181901*s[56])/198 - (852985*s[57])/594 - 
       (818750*s[58])/891 + (3634415*s[59])/3564 + (2845903*s[60])/297 - 
       (32453767*s[61])/64152 - (8*s[68])/3 + (8*s[69])/3 - (8*s[77])/3 + 
       207*s[82] + 32*s[85])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
      (s[1]/3 - (16*s[2])/3 + 18*s[3] + (5*s[4])/6 + (1907*s[5])/66 + 
       (7789*s[6])/132 + (311749*s[7])/792 + (577*s[8])/198 - 
       (11699*s[9])/36 - (4565*s[10])/18 - (12502*s[11])/33 - 
       (12589*s[12])/44 - (94529*s[13])/792 - (11284*s[14])/33 - 
       (54319*s[15])/72 - (689267*s[16])/792 - (802651*s[17])/792 - 
       (12175*s[18])/216 - (34865*s[19])/216 - (2645795*s[20])/2376 - 
       (28999*s[21])/66 + (230359*s[22])/1188 - (212261*s[23])/792 + 
       (1502609*s[24])/2376 - (2636809*s[25])/7128 + (2170195*s[26])/7128 - 
       (16*s[31])/3 - 4*s[33] + (32*s[34])/3 + (32*s[35])/3 + (56*s[36])/9 - 
       (193*s[37])/18 - (115*s[38])/6 + (224*s[39])/3 - (509*s[40])/9 + 
       (245*s[41])/6 - (2417*s[42])/18 + (377*s[43])/99 - (2525*s[44])/396 + 
       (11452*s[45])/99 - (25679*s[46])/66 - (142757*s[47])/1188 + 
       (115715*s[48])/594 - (186533*s[49])/2376 + (39485*s[50])/99 - 
       (224645*s[51])/2376 - (126559*s[52])/1188 - (114833*s[53])/396 - 
       (21947*s[54])/132 - (24549*s[55])/11 - (1122487*s[56])/2376 - 
       (3469019*s[57])/1782 - (3203*s[58])/21384 + (1915847*s[59])/21384 + 
       (66357545*s[60])/14256 - (25853893*s[61])/96228 - (8*s[68])/3 + 
       (8*s[69])/3 + (4*s[74])/3 - (4*s[75])/3 + (16*s[76])/3 - (8*s[77])/3 - 
       (16*s[78])/3 + (32*s[79])/3 - (112*s[80])/9 + 207*s[82] + 32*s[85])*
      \[Zeta][3] + Omega2[u, v, w]*(s[35] + (16*s[36])/3 - (73*s[37])/3 + 
       9*s[38] + (49*s[39])/4 + (293*s[40])/12 - (189*s[41])/4 - 
       (635*s[42])/12 + (10627*s[43])/132 - (5261*s[44])/66 + 
       (10418*s[45])/33 - (63579*s[46])/44 - (52249*s[47])/396 + 
       (53785*s[48])/198 - (180029*s[49])/396 + (83975*s[50])/66 - 
       (9535*s[51])/198 - (21245*s[52])/396 - (39583*s[53])/44 - 
       (5281*s[54])/22 - (142927*s[55])/22 - (615787*s[56])/396 - 
       (2365481*s[57])/1188 - (5183729*s[58])/3564 + (1469945*s[59])/891 + 
       (32372819*s[60])/2376 - (55482337*s[61])/64152 + s[65] + 2*s[66] - 
       2*s[67] - 8*s[68] + 2*s[70] - 2*s[71] - 2*s[72] + (3*s[74])/2 - 
       (3*s[75])/2 + 2*s[76] - 5*s[77] - 4*s[78] + (28*s[80])/3 + 280*s[82] + 
       48*s[85])*\[Zeta][3] + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      (14*s[2] + (147*s[3])/2 + (1831*s[4])/4 + (8871*s[5])/22 + 
       (49559*s[6])/44 + (788899*s[7])/88 - (776999*s[8])/1188 - 
       (202534*s[9])/27 - (71219*s[10])/27 - (7691267*s[11])/792 - 
       (1024697*s[12])/99 - (4955033*s[13])/792 - (1418435*s[14])/792 - 
       (877597*s[15])/72 - (6088201*s[16])/396 - (9869093*s[17])/792 - 
       (269257*s[18])/162 - (447577*s[19])/324 - (65320021*s[20])/3564 - 
       (48254981*s[21])/7128 + (33223645*s[22])/7128 + (3445049*s[23])/396 + 
       (36269351*s[24])/3564 - (389815537*s[25])/32076 + 
       (222392407*s[26])/32076 - 3*s[32] - 8*s[33] + 12*s[34] + 8*s[35] - 
       15*s[36] + (68*s[37])/3 + 235*s[38] - (3551*s[39])/4 + 
       (4179*s[40])/4 - (3269*s[41])/4 + (4965*s[42])/4 + (44817*s[43])/44 - 
       (81887*s[44])/88 + (96433*s[45])/66 - (1276919*s[46])/132 + 
       (30883*s[47])/264 + (148957*s[48])/264 - (1127353*s[49])/264 + 
       (162561*s[50])/22 + (220057*s[51])/264 + (189869*s[52])/264 - 
       (2089591*s[53])/396 + (19091*s[54])/66 - (9105869*s[55])/264 - 
       (7371193*s[56])/792 + (1158095*s[57])/297 - (99849911*s[58])/7128 + 
       (101482493*s[59])/7128 + (42825553*s[60])/528 - 
       (294569477*s[61])/64152 + s[65] + 2*s[66] - 4*s[67] + 4*s[68] - 
       8*s[69] - 2*s[70] - 3*s[71] + 16*s[73] + 2*s[74] - 2*s[75] - 4*s[76] + 
       10*s[77] - 6*s[78] + 88*s[79] - (14*s[80])/3 + 216*s[82] - 6*s[83] + 
       36*s[84] + 48*s[85])*\[Zeta][3] + HPL[{1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u]*((11*s[2])/2 + (43*s[3])/4 + (8773*s[4])/8 + 
       (18607*s[5])/22 + (160691*s[6])/88 + (28468345*s[7])/1584 - 
       (3348581*s[8])/2376 - (1663433*s[9])/108 - (484867*s[10])/108 - 
       (31754699*s[11])/1584 - (8849125*s[12])/396 - (21477301*s[13])/1584 - 
       (3049043*s[14])/1584 - (3336107*s[15])/144 - (2949832*s[16])/99 - 
       (11507219*s[17])/528 - (1086109*s[18])/324 - (1642483*s[19])/648 - 
       (254276347*s[20])/7128 - (185065277*s[21])/14256 + 
       (136627945*s[22])/14256 + (2128502*s[23])/99 + (69783013*s[24])/3564 - 
       (205186253*s[25])/8019 + (112217549*s[26])/8019 + 8*s[29] - s[30] + 
       8*s[31] + 5*s[32] - 16*s[33] - 7*s[34] + 3*s[35] - 26*s[36] + 
       (407*s[37])/3 + 755*s[38] - (10899*s[39])/4 + (12299*s[40])/4 - 
       (9269*s[41])/4 + (15427*s[42])/4 + (98389*s[43])/44 - 
       (53629*s[44])/22 + (143833*s[45])/66 - (2407019*s[46])/132 + 
       (34247*s[47])/33 + (14525*s[48])/132 - (332003*s[49])/33 + 
       (150697*s[50])/11 + (348181*s[51])/132 + (304405*s[52])/132 - 
       (1773059*s[53])/198 + (26218*s[54])/33 - (2529163*s[55])/44 - 
       (1567595*s[56])/99 + (29736455*s[57])/1188 - (55297607*s[58])/1782 + 
       (108992035*s[59])/3564 + (19636985*s[60])/132 - 
       (477677687*s[61])/64152 + 4*s[65] + 8*s[66] - 8*s[67] - 4*s[68] - 
       28*s[69] - 2*s[70] - 2*s[72] + 22*s[73] - (5*s[74])/2 + (5*s[75])/2 - 
       8*s[76] + 21*s[77] - 18*s[78] + 308*s[79] - (308*s[80])/3 + 
       280*s[82] - 9*s[83] + 54*s[84] + 48*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*(31*s[2] + 175*s[3] + 
       (4437*s[4])/4 + (44705*s[5])/44 + (47463*s[6])/22 + 
       (7791631*s[7])/396 - (412271*s[8])/297 - (452587*s[9])/27 - 
       (559325*s[10])/108 - (4308323*s[11])/198 - (9434369*s[12])/396 - 
       (1892483*s[13])/132 - (566435*s[14])/198 - (104381*s[15])/4 - 
       (1452549*s[16])/44 - (2487134*s[17])/99 - (320411*s[18])/81 - 
       (219712*s[19])/81 - (71112785*s[20])/1782 - (53384455*s[21])/3564 + 
       (9228818*s[22])/891 + (3011821*s[23])/132 + (76637729*s[24])/3564 - 
       (878296165*s[25])/32076 + (499839631*s[26])/32076 + 16*s[29] + 
       3*s[30] + 10*s[31] + 10*s[32] + (41*s[33])/4 - 21*s[34] + 2*s[35] - 
       (10*s[36])/3 + 66*s[37] + 807*s[38] - 2668*s[39] + (9028*s[40])/3 - 
       (4603*s[41])/2 + (21691*s[42])/6 + (7684*s[43])/3 - (30637*s[44])/12 + 
       (6109*s[45])/2 - (132047*s[46])/6 + (24323*s[47])/36 + 
       (32267*s[48])/36 - (408053*s[49])/36 + (99239*s[50])/6 + 
       (87301*s[51])/36 + (76729*s[52])/36 - (203995*s[53])/18 + 
       (2497*s[54])/6 - (296519*s[55])/4 - (713591*s[56])/36 + 
       (1009675*s[57])/54 - (11168089*s[58])/324 + (11269357*s[59])/324 + 
       (39455357*s[60])/216 - (28303693*s[61])/2916 + 8*s[63] + 5*s[65] + 
       8*s[66] - 10*s[67] - 34*s[69] + 2*s[70] - 7*s[71] - 4*s[72] + 
       3*s[74] - 3*s[75] - 12*s[76] + 34*s[77] - 16*s[78] + 164*s[79] - 
       8*s[80] + 280*s[82] - 9*s[83] + 54*s[84] + 48*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      ((-29*s[2])/2 + (61*s[3])/4 - (22855*s[4])/24 - (9565*s[5])/22 - 
       (356651*s[6])/264 - (58841993*s[7])/4752 + (8553527*s[8])/7128 + 
       (1674307*s[9])/162 + (452771*s[10])/162 + (65689079*s[11])/4752 + 
       (37035905*s[12])/2376 + (5060755*s[13])/528 + (1388477*s[14])/4752 + 
       (252661*s[15])/16 + (16186471*s[16])/792 + (69330661*s[17])/4752 + 
       (2079991*s[18])/972 + (3438319*s[19])/1944 + (495390265*s[20])/21384 + 
       (344013431*s[21])/42768 - (278897287*s[22])/42768 - 
       (373657*s[23])/22 - (70224461*s[24])/5346 + (438629666*s[25])/24057 - 
       (452644975*s[26])/48114 - (2*s[29])/3 - 2*s[30] - (34*s[31])/3 - 
       3*s[32] - (47*s[33])/4 + 18*s[34] + 15*s[35] + (352*s[36])/9 - 
       (311*s[37])/9 - (1430*s[38])/3 + 1656*s[39] - (16597*s[40])/9 + 
       (8713*s[41])/6 - (21329*s[42])/9 - (142823*s[43])/99 + 
       (287473*s[44])/198 - (634013*s[45])/396 + (4900171*s[46])/396 - 
       (161578*s[47])/297 - (53711*s[48])/594 + (1865146*s[49])/297 - 
       (1873351*s[50])/198 - (961579*s[51])/594 - (414935*s[52])/297 + 
       (7755425*s[53])/1188 - (22457*s[54])/99 + (1832505*s[55])/44 + 
       (1108145*s[56])/99 - (5342783*s[57])/396 + (35783443*s[58])/1782 - 
       (72701879*s[59])/3564 - (714492403*s[60])/7128 + 
       (342036749*s[61])/64152 - (11*s[65])/3 - (26*s[66])/3 + 10*s[67] + 
       10*s[68] + 24*s[69] + (23*s[71])/3 + 2*s[72] - (2*s[73])/3 + 
       (19*s[74])/6 - (19*s[75])/6 + (80*s[76])/3 - (23*s[77])/3 - 
       (26*s[78])/3 - (436*s[79])/3 - (196*s[80])/9 + 512*s[82] + 2*s[83] - 
       72*s[84] + 64*s[85])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*((-149*s[2])/6 + (79*s[3])/12 - (23351*s[4])/24 - 
       (30157*s[5])/66 - (373387*s[6])/264 - (61943105*s[7])/4752 + 
       (8870999*s[8])/7128 + (1764913*s[9])/162 + (478589*s[10])/162 + 
       (69215375*s[11])/4752 + (39014237*s[12])/2376 + 
       (16006481*s[13])/1584 + (1736765*s[14])/4752 + (797407*s[15])/48 + 
       (17011835*s[16])/792 + (72841477*s[17])/4752 + (2176501*s[18])/972 + 
       (3613435*s[19])/1944 + (523376497*s[20])/21384 + 
       (364158983*s[21])/42768 - (293714215*s[22])/42768 - 
       (1748326*s[23])/99 - (37020850*s[24])/2673 + (922449775*s[25])/48114 - 
       (238882835*s[26])/24057 - (2*s[29])/3 - 2*s[30] - (50*s[31])/3 - 
       (5*s[32])/3 - (63*s[33])/4 + (86*s[34])/3 + (89*s[35])/3 + 
       (187*s[36])/3 - (1775*s[37])/18 - (1672*s[38])/3 + (13571*s[39])/6 - 
       (14383*s[40])/6 + (5498*s[41])/3 - 3357*s[42] - (109867*s[43])/66 + 
       (470413*s[44])/264 - (234497*s[45])/198 + (1235530*s[46])/99 - 
       (98947*s[47])/88 + (163135*s[48])/264 + (1934731*s[49])/264 - 
       (100195*s[50])/11 - (1794887*s[51])/792 - (511751*s[52])/264 + 
       (1848257*s[53])/297 - (86414*s[54])/99 + (29550013*s[55])/792 + 
       (24654425*s[56])/2376 - (40910531*s[57])/1782 + 
       (479829613*s[58])/21384 - (478848541*s[59])/21384 - 
       (454314595*s[60])/4752 + (451312439*s[61])/96228 + (4*s[65])/3 + 
       (10*s[66])/3 - 4*s[67] - 16*s[68] + 6*s[69] + 2*s[70] - s[71]/3 - 
       12*s[72] + (10*s[73])/3 + 15*s[74] - 15*s[75] + 26*s[76] - 
       (32*s[77])/3 - 30*s[78] - (452*s[79])/3 + (79*s[80])/9 + 512*s[82] + 
       2*s[83] - 72*s[84] + 64*s[85])*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      ((-23*s[2])/6 + (163*s[3])/12 - (6407*s[4])/24 - (12079*s[5])/66 - 
       (125395*s[6])/264 - (19643951*s[7])/4752 + (2581259*s[8])/7128 + 
       (284276*s[9])/81 + (135707*s[10])/162 + (22085543*s[11])/4752 + 
       (12503927*s[12])/2376 + (5182829*s[13])/1584 + (522593*s[14])/4752 + 
       (244289*s[15])/48 + (1308557*s[16])/198 + (21529309*s[17])/4752 + 
       (770755*s[18])/972 + (862063*s[19])/1944 + (163500283*s[20])/21384 + 
       (118614575*s[21])/42768 - (93645547*s[22])/42768 - 
       (4578647*s[23])/792 - (89970167*s[24])/21384 + 
       (146270162*s[25])/24057 - (310413905*s[26])/96228 - (2*s[29])/3 - 
       (20*s[31])/3 + (4*s[32])/3 - (21*s[33])/4 + (50*s[34])/3 + 
       (71*s[35])/3 + (79*s[36])/3 - (1139*s[37])/18 - (613*s[38])/3 + 
       (4985*s[39])/6 - (4897*s[40])/6 + (1757*s[41])/3 - (5147*s[42])/4 - 
       (27805*s[43])/66 + (15413*s[44])/33 + (9859*s[45])/198 + 
       (203002*s[46])/99 - (40699*s[47])/66 + (7625*s[48])/11 + 
       (222667*s[49])/132 - (24539*s[50])/22 - (358675*s[51])/396 - 
       (27821*s[52])/33 + (802223*s[53])/1188 - (83231*s[54])/99 + 
       (975719*s[55])/396 + (1403617*s[56])/1188 - (43256005*s[57])/3564 + 
       (31333381*s[58])/5346 - (14543666*s[59])/2673 - 
       (25252697*s[60])/2376 + (32241491*s[61])/96228 + s[65]/3 + 
       (4*s[66])/3 - 8*s[68] + 4*s[69] + 10*s[70] + (2*s[71])/3 + 
       (10*s[73])/3 + 8*s[74] - 8*s[75] + 16*s[76] - (50*s[77])/3 - 
       14*s[78] - (68*s[79])/3 - (185*s[80])/9 + 554*s[82] - s[83] - 
       42*s[84] + 88*s[85])*\[Zeta][3] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*(14*s[2] + (135*s[3])/2 - (1177*s[4])/6 - 
       (3749*s[5])/44 - (19823*s[6])/66 - (6129001*s[7])/2376 + 
       (468719*s[8])/1782 + (178481*s[9])/81 + (152245*s[10])/324 + 
       (6837661*s[11])/2376 + (7851449*s[12])/2376 + (818417*s[13])/396 - 
       (32803*s[14])/1188 + (226235*s[15])/72 + (3220517*s[16])/792 + 
       (6273659*s[17])/2376 + (126298*s[18])/243 + (155987*s[19])/972 + 
       (49695287*s[20])/10692 + (18270509*s[21])/10692 - 
       (7455773*s[22])/5346 - (810593*s[23])/198 - (26658559*s[24])/10692 + 
       (364855409*s[25])/96228 - (48728513*s[26])/24057 - (2*s[29])/3 - 
       2*s[30] + (8*s[31])/3 + s[32] - 8*s[33] + 4*s[34] - 4*s[35] + 
       (202*s[36])/9 - (62*s[37])/9 - (797*s[38])/3 + (4015*s[39])/4 - 
       (40147*s[40])/36 + (10691*s[41])/12 - (13496*s[42])/9 - 
       (309821*s[43])/396 + (82619*s[44])/99 - (285023*s[45])/396 + 
       (639145*s[46])/99 - (115672*s[47])/297 + (154709*s[48])/1188 + 
       (4126393*s[49])/1188 - (980491*s[50])/198 - (302429*s[51])/297 - 
       (1032689*s[52])/1188 + (4004765*s[53])/1188 - (25940*s[54])/99 + 
       (2772389*s[55])/132 + (2242375*s[56])/396 - (11189723*s[57])/1188 + 
       (6537007*s[58])/594 - (2225171*s[59])/198 - (180900221*s[60])/3564 + 
       (84674753*s[61])/32076 - (5*s[65])/3 - (2*s[66])/3 + 2*s[67] + 
       10*s[68] + 4*s[70] + (17*s[71])/3 + (16*s[73])/3 + (14*s[74])/3 - 
       (14*s[75])/3 + (20*s[76])/3 + (4*s[77])/3 - (20*s[78])/3 - 
       (304*s[79])/3 - (40*s[80])/9 + 554*s[82] - s[83] - 42*s[84] + 
       88*s[85])*\[Zeta][3] + HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      (27*s[2] - 90*s[3] + (1007*s[4])/4 + (15047*s[5])/44 + (8097*s[6])/11 + 
       (295609*s[7])/44 - (184501*s[8])/297 - (311797*s[9])/54 - 
       (184273*s[10])/108 - (2916623*s[11])/396 - (812650*s[12])/99 - 
       (1914509*s[13])/396 - (116759*s[14])/99 - (305701*s[15])/36 - 
       (4343711*s[16])/396 - (3198257*s[17])/396 - (229229*s[18])/162 - 
       (101653*s[19])/162 - (12177959*s[20])/891 - (18105161*s[21])/3564 + 
       (6362555*s[22])/1782 + (771868*s[23])/99 + (12687173*s[24])/1782 - 
       (295712693*s[25])/32076 + (169586423*s[26])/32076 - 8*s[29] + 
       3*s[30] - 6*s[31] - 5*s[32] - (3*s[33])/4 + 17*s[34] + 8*s[35] + 
       4*s[36] + (77*s[37])/3 + 272*s[38] - 950*s[39] + 1092*s[40] - 
       831*s[41] + 1324*s[42] + (10756*s[43])/11 - (9910*s[44])/11 + 
       (42821*s[45])/33 - (293861*s[46])/33 + (17695*s[47])/66 + 
       (20995*s[48])/66 - (260875*s[49])/66 + (73256*s[50])/11 + 
       (20913*s[51])/22 + (27277*s[52])/33 - (465778*s[53])/99 + 
       (24049*s[54])/33 - (679341*s[55])/22 - (1727719*s[56])/198 + 
       (3765583*s[57])/594 - (24635621*s[58])/1782 + (24667319*s[59])/1782 + 
       (9702245*s[60])/132 - (34188622*s[61])/8019 + 24*s[63] + 2*s[65] + 
       4*s[66] - 8*s[67] + 12*s[68] - 24*s[69] - 8*s[70] - 2*s[71] - 
       4*s[73] + 4*s[74] - 4*s[75] + 2*s[76] + 38*s[77] - 8*s[78] + 
       96*s[79] - (80*s[80])/3 + 472*s[82] - 6*s[83] + 36*s[84] + 96*s[85])*
      \[Zeta][3] + HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      ((-11*s[2])/2 + (231*s[3])/4 + (5305*s[4])/8 + (9567*s[5])/11 + 
       (156703*s[6])/88 + (7771847*s[7])/528 - (2670553*s[8])/2376 - 
       (1353787*s[9])/108 - (412283*s[10])/108 - (25601347*s[11])/1584 - 
       (1743800*s[12])/99 - (16610881*s[13])/1584 - (4223695*s[14])/1584 - 
       (2773367*s[15])/144 - (4874957*s[16])/198 - (30238489*s[17])/1584 - 
       (999839*s[18])/324 - (1137815*s[19])/648 - (213388367*s[20])/7128 - 
       (163221145*s[21])/14256 + (109842917*s[22])/14256 + 
       (6483755*s[23])/396 + (13999163*s[24])/891 - (322689065*s[25])/16038 + 
       (187509479*s[26])/16038 - 16*s[29] + 3*s[30] + 2*s[31] + 2*s[32] - 
       15*s[33] - 5*s[34] + s[35] - 47*s[36] - s[37] + 571*s[38] - 
       (3953*s[39])/2 + (4455*s[40])/2 - 1710*s[41] + (5297*s[42])/2 + 
       (45767*s[43])/22 - (174001*s[44])/88 + (67931*s[45])/22 - 
       (220600*s[46])/11 + (98621*s[47])/264 + (269561*s[48])/264 - 
       (2428895*s[49])/264 + (167053*s[50])/11 + (458009*s[51])/264 + 
       (409165*s[52])/264 - (1428353*s[53])/132 + (3103*s[54])/11 - 
       (6237771*s[55])/88 - (1671607*s[56])/88 + (423897*s[57])/44 - 
       (23436877*s[58])/792 + (23884453*s[59])/792 + (263991797*s[60])/1584 - 
       (34508869*s[61])/3564 + 8*s[63] - 2*s[67] + 2*s[68] + 2*s[69] + 
       2*s[70] - 4*s[71] + 2*s[72] + 10*s[73] + s[74]/2 - s[75]/2 + 4*s[76] + 
       17*s[77] + 8*s[78] - 36*s[79] + 42*s[80] + 472*s[82] - 6*s[83] + 
       36*s[84] + 96*s[85])*\[Zeta][3] + HPL[{1}, 1 - u]^2*
      ((362*s[2])/3 - (1357*s[3])/6 - (18611*s[4])/12 + (10511*s[5])/33 - 
       (108193*s[6])/132 - (18245839*s[7])/2376 + (7689083*s[8])/3564 + 
       (865295*s[9])/162 - (73475*s[10])/162 + (22970807*s[11])/2376 + 
       (16260059*s[12])/1188 + (20494915*s[13])/2376 - 
       (12304993*s[14])/2376 + (1352513*s[15])/216 + (6458395*s[16])/594 + 
       (1645217*s[17])/792 + (317519*s[18])/243 + (505153*s[19])/972 + 
       (48464435*s[20])/5346 + (24825173*s[21])/21384 - 
       (81333799*s[22])/21384 - (14814935*s[23])/594 - 
       (31187989*s[24])/5346 + (376163200*s[25])/24057 - 
       (547213261*s[26])/96228 - s[28] + 48*s[29] - 26*s[30] + 
       (184*s[31])/3 - (38*s[32])/3 + (11*s[33])/2 - (154*s[34])/3 + 
       40*s[35] + (227*s[36])/3 - (2501*s[37])/18 - 612*s[38] + 
       (12139*s[39])/4 - (12391*s[40])/4 + (26653*s[41])/12 - 
       (14110*s[42])/3 - (200455*s[43])/132 + (571463*s[44])/264 - 
       (430993*s[45])/396 + (2741609*s[46])/198 - (612617*s[47])/264 + 
       (551029*s[48])/264 + (645067*s[49])/88 - (314656*s[50])/33 - 
       (2630963*s[51])/792 - (739763*s[52])/264 + (1949669*s[53])/297 - 
       (234962*s[54])/99 + (29564603*s[55])/792 + (28868891*s[56])/2376 - 
       (137537605*s[57])/3564 + (618565729*s[58])/21384 - 
       (587591977*s[59])/21384 - (451267291*s[60])/4752 + 
       (140090471*s[61])/24057 - s[62] + 10*s[65] + 44*s[66] - 60*s[67] - 
       (190*s[68])/3 - 60*s[69] - 12*s[71] - 56*s[72] - 24*s[73] + 43*s[74] - 
       44*s[75] - (188*s[76])/3 - 2*s[77] - 60*s[78] + (56*s[79])/3 + 
       (403*s[80])/9 + 564*s[82] - 24*s[85])*\[Zeta][2]*\[Zeta][3] + 
     HPL[{1}, 1 - v]^2*((461*s[2])/3 - (608*s[3])/3 - (7693*s[4])/6 + 
       (2011*s[5])/3 - (482*s[6])/3 - (50131*s[7])/27 + (542473*s[8])/324 + 
       (127555*s[9])/324 - (594241*s[10])/324 + (698521*s[11])/216 + 
       (719209*s[12])/108 + (935489*s[13])/216 - (1273871*s[14])/216 - 
       (36500*s[15])/27 + (265349*s[16])/216 - (127835*s[17])/24 + 
       (116879*s[18])/972 - (72247*s[19])/486 - (2358133*s[20])/972 - 
       (6417821*s[21])/1944 - (1424393*s[22])/1944 - (3806005*s[23])/216 + 
       (310615*s[24])/1944 + (33062077*s[25])/4374 - (9203177*s[26])/8748 + 
       54*s[29] - 24*s[30] + (214*s[31])/3 - (53*s[32])/3 + 38*s[33] - 
       (262*s[34])/3 + 32*s[35] + (88*s[36])/3 - (1157*s[37])/18 - 
       358*s[38] + 2086*s[39] - (6512*s[40])/3 + (4720*s[41])/3 - 
       (40103*s[42])/12 - (31004*s[43])/33 + (198881*s[44])/132 - 
       (235039*s[45])/396 + (3583441*s[46])/396 - (661685*s[47])/396 + 
       (595087*s[48])/396 + (463349*s[49])/99 - (203237*s[50])/33 - 
       (472267*s[51])/198 - (784369*s[52])/396 + (1243073*s[53])/297 - 
       (198794*s[54])/99 + (9229375*s[55])/396 + (2414956*s[56])/297 - 
       (24830332*s[57])/891 + (52319219*s[58])/2673 - (48720443*s[59])/2673 - 
       (141632437*s[60])/2376 + (189757015*s[61])/48114 + 4*s[63] + s[64] + 
       8*s[65] + 32*s[66] - 48*s[67] - (130*s[68])/3 - 48*s[69] - 2*s[70] - 
       9*s[71] - 44*s[72] - 40*s[73] + 34*s[74] - 34*s[75] - (200*s[76])/3 + 
       6*s[77] - 18*s[78] + (44*s[79])/3 + (541*s[80])/9 + 564*s[82] - 
       24*s[85])*\[Zeta][2]*\[Zeta][3] + HPL[{1}, 1 - w]^2*
      ((530*s[2])/3 - (773*s[3])/3 - (2606*s[4])/3 + (114965*s[5])/132 + 
       (59747*s[6])/132 + (2082995*s[7])/594 + (2003425*s[8])/1782 - 
       (657073*s[9])/162 - (498509*s[10])/162 - (6728707*s[11])/2376 - 
       (249091*s[12])/1188 + (279061*s[13])/2376 - (14082997*s[14])/2376 - 
       (878273*s[15])/108 - (18362459*s[16])/2376 - (9361249*s[17])/792 - 
       (158869*s[18])/243 - (555385*s[19])/486 - (65295313*s[20])/5346 - 
       (142470121*s[21])/21384 + (44142599*s[22])/21384 - 
       (25528109*s[23])/2376 + (130700363*s[24])/21384 - 
       (90043165*s[25])/192456 + (581347081*s[26])/192456 + 36*s[29] - 
       24*s[30] + (196*s[31])/3 - (80*s[32])/3 + 10*s[33] - (238*s[34])/3 + 
       36*s[35] - (7*s[36])/3 - (1175*s[37])/18 - 118*s[38] + 
       (4777*s[39])/4 - (4645*s[40])/4 + (9379*s[41])/12 - (25861*s[42])/12 + 
       (20891*s[43])/132 + (144593*s[44])/264 + (300335*s[45])/396 - 
       (23684*s[46])/99 - (436981*s[47])/264 + (561533*s[48])/264 - 
       (14029*s[49])/264 + (31241*s[50])/33 - (1345229*s[51])/792 - 
       (121399*s[52])/88 - (1181923*s[53])/1188 - (224420*s[54])/99 - 
       (7878301*s[55])/792 - (490651*s[56])/2376 - (90088915*s[57])/3564 + 
       (143396197*s[58])/21384 - (97364383*s[59])/21384 + 
       (88267643*s[60])/4752 - (48793865*s[61])/192456 + 8*s[65] + 32*s[66] - 
       48*s[67] - (136*s[68])/3 - 28*s[69] - 11*s[71] - 48*s[72] - 72*s[73] + 
       39*s[74] - 39*s[75] - (236*s[76])/3 - 8*s[77] + 4*s[78] + 
       (80*s[79])/3 + (451*s[80])/9 + 800*s[82] + 16*s[85])*\[Zeta][2]*
      \[Zeta][3] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*(-25*s[2] + (165*s[3])/2 - 
       (4161*s[4])/4 - (651*s[5])/22 - (2613*s[6])/44 - (7426405*s[7])/792 + 
       (470477*s[8])/396 + (68203*s[9])/9 + (21926*s[10])/9 + 
       (956199*s[11])/88 + (415829*s[12])/33 + (6041297*s[13])/792 - 
       (237861*s[14])/88 + (933091*s[15])/72 + (1620280*s[16])/99 + 
       (8669869*s[17])/792 + (172*s[18])/3 + (126779*s[19])/36 + 
       (700813*s[20])/44 + (8871871*s[21])/2376 - (12104083*s[22])/2376 - 
       (1155767*s[23])/99 - (7237771*s[24])/594 + (167516531*s[25])/10692 - 
       (65161385*s[26])/10692 + 2*s[27] + 8*s[29] - 2*s[30] - 8*s[31] + 
       12*s[32] - 63*s[33] + 74*s[34] + 50*s[35] + 160*s[36] + s[37] - 
       570*s[38] + 2265*s[39] - 2383*s[40] + 2084*s[41] - 3156*s[42] - 
       (22563*s[43])/11 + (52087*s[44])/22 - (38351*s[45])/22 + 
       (362999*s[46])/22 - (3451*s[47])/11 - (4826*s[48])/11 + 
       (126689*s[49])/11 - (161099*s[50])/11 - (62147*s[51])/33 - 
       (21573*s[52])/22 + (110085*s[53])/11 + (39744*s[54])/11 + 
       (2018798*s[55])/33 + (112641*s[56])/11 - (31259*s[57])/11 + 
       (460023*s[58])/22 - (270305*s[59])/11 - (19621511*s[60])/132 + 
       (2096099*s[61])/396 + 2*s[64] + 4*s[65] + 12*s[66] - 24*s[67] + 
       20*s[68] - 68*s[69] - 8*s[70] - 8*s[71] - 16*s[72] + 68*s[73] + 
       20*s[74] - 18*s[75] + 16*s[76] + 24*s[77] - 48*s[78] - 138*s[80] - 
       452*s[82] - 24*s[84] + 144*s[85])*\[Zeta][2]*\[Zeta][3] + 
     HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*(-27*s[2] + (165*s[3])/2 - 
       (4281*s[4])/4 + (537*s[5])/22 - (545*s[6])/44 - (6995557*s[7])/792 + 
       (49909*s[8])/44 + (21253*s[9])/3 + 2235*s[10] + (2730745*s[11])/264 + 
       (266531*s[12])/22 + (5853461*s[13])/792 - (769199*s[14])/264 + 
       (865651*s[15])/72 + (3037181*s[16])/198 + (7848829*s[17])/792 - 
       (2315*s[18])/27 + (376865*s[19])/108 + (17434421*s[20])/1188 + 
       (7588259*s[21])/2376 - (1270235*s[22])/264 - (1093364*s[23])/99 - 
       (2306389*s[24])/198 + (161602249*s[25])/10692 - 
       (60748537*s[26])/10692 + 2*s[27] + 8*s[29] - 2*s[30] - 8*s[31] + 
       12*s[32] - 63*s[33] + 74*s[34] + 64*s[35] + (362*s[36])/3 - 68*s[37] - 
       538*s[38] + (5199*s[39])/2 - (15349*s[40])/6 + (4381*s[41])/2 - 
       (23195*s[42])/6 - (113771*s[43])/66 + (301585*s[44])/132 + 
       (1578*s[45])/11 + (594941*s[46])/66 - (442955*s[47])/396 + 
       (387127*s[48])/396 + (4049297*s[49])/396 - (272116*s[50])/33 - 
       (963661*s[51])/396 - (525211*s[52])/396 + (516020*s[53])/99 + 
       (83374*s[54])/33 + (1140877*s[55])/44 + (443459*s[56])/396 - 
       (4365017*s[57])/297 + (46773481*s[58])/3564 - (56768791*s[59])/3564 - 
       (186357323*s[60])/2376 + (11655571*s[61])/32076 + 2*s[64] + 12*s[65] + 
       40*s[66] - 56*s[67] - 32*s[68] - 112*s[69] - 20*s[71] - 48*s[72] + 
       68*s[73] + 38*s[74] - 36*s[75] - 12*s[76] + 8*s[77] - 68*s[78] - 
       120*s[80] - 452*s[82] - 24*s[84] + 144*s[85])*\[Zeta][2]*\[Zeta][3] + 
     HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*(-16*s[2] + 83*s[3] - (1441*s[4])/2 + 
       (2379*s[5])/22 + (3382*s[6])/11 - (664937*s[7])/132 + 
       (238226*s[8])/297 + (212477*s[9])/54 + (76477*s[10])/54 + 
       (2373715*s[11])/396 + (698177*s[12])/99 + (1698385*s[13])/396 - 
       (1080905*s[14])/396 + (266855*s[15])/36 + (1828337*s[16])/198 + 
       (2382103*s[17])/396 - (108239*s[18])/162 + (463301*s[19])/162 + 
       (13550891*s[20])/1782 + (3594067*s[21])/3564 - (9897449*s[22])/3564 - 
       (566840*s[23])/99 - (6685526*s[24])/891 + (295140181*s[25])/32076 - 
       (92123221*s[26])/32076 + 16*s[29] - 8*s[30] + 8*s[31] + 12*s[32] - 
       40*s[33] + 40*s[34] + 54*s[35] + (464*s[36])/3 - (196*s[37])/3 - 
       398*s[38] + (2845*s[39])/2 - (7483*s[40])/6 + (2071*s[41])/2 - 
       (12035*s[42])/6 - (58649*s[43])/66 + (37963*s[44])/33 - 
       (7507*s[45])/33 + (395833*s[46])/66 - (53090*s[47])/99 + 
       (128483*s[48])/198 + (613922*s[49])/99 - (198580*s[50])/33 - 
       (207965*s[51])/198 - (100343*s[52])/198 + (770327*s[53])/198 + 
       (106691*s[54])/33 + (465287*s[55])/22 + (24191*s[56])/33 - 
       (834017*s[57])/198 + (753784*s[58])/99 - (665255*s[59])/66 - 
       (33642149*s[60])/594 + (5029477*s[61])/10692 + 6*s[65] + 16*s[66] - 
       28*s[67] - 16*s[68] - 48*s[69] - 4*s[70] - 12*s[71] - 20*s[72] + 
       64*s[73] + 23*s[74] - 21*s[75] + 12*s[76] - 2*s[77] - 44*s[78] + 
       96*s[79] - (380*s[80])/3 + 160*s[82] + 272*s[85])*\[Zeta][2]*
      \[Zeta][3] + HPL[{0, 1}, 1 - u]*((839*s[2])/3 - (631*s[3])/6 - 
       (18677*s[4])/12 + (4636*s[5])/3 + (23851*s[6])/12 + 
       (1342777*s[7])/216 + (714043*s[8])/324 - (1116643*s[9])/162 - 
       (890627*s[10])/162 - (988787*s[11])/216 + (11206*s[12])/27 + 
       (158075*s[13])/216 - (2958227*s[14])/216 - (3028993*s[15])/216 - 
       (362402*s[16])/27 - (174315*s[17])/8 - (1145735*s[18])/486 - 
       (623345*s[19])/972 - (22882519*s[20])/972 - (25821305*s[21])/1944 + 
       (6269629*s[22])/1944 - (530408*s[23])/27 + (4851385*s[24])/486 + 
       (1173395*s[25])/2187 + (13507054*s[26])/2187 - 2*s[27] + 4*s[28] + 
       68*s[29] - 34*s[30] + (244*s[31])/3 - (116*s[32])/3 - 114*s[33] - 
       (10*s[34])/3 + 140*s[35] + (736*s[36])/3 - (2695*s[37])/9 - 
       550*s[38] + 2915*s[39] - (7205*s[40])/3 + (4750*s[41])/3 - 
       (29179*s[42])/6 + (5281*s[43])/33 + (80035*s[44])/66 + 
       (274441*s[45])/198 + (249047*s[46])/198 - (354980*s[47])/99 + 
       (519949*s[48])/99 + (516169*s[49])/198 - (29390*s[50])/33 - 
       (654613*s[51])/198 - (508769*s[52])/198 - (23026*s[53])/297 + 
       (1984*s[54])/99 - (1970299*s[55])/198 - (1622311*s[56])/594 - 
       (85478111*s[57])/1782 + (76649083*s[58])/5346 - 
       (33641945*s[59])/2673 + (8437655*s[60])/594 - (157529305*s[61])/
        96228 - 32*s[63] - 2*s[64] + 20*s[65] + 80*s[66] - 120*s[67] - 
       (364*s[68])/3 - 92*s[69] - 12*s[70] - 36*s[71] - 104*s[72] - 
       76*s[73] + 94*s[74] - 94*s[75] - (332*s[76])/3 + 8*s[77] - 92*s[78] + 
       (704*s[79])/3 - (1370*s[80])/9 + 948*s[82] + 24*s[84] + 192*s[85] - 
       12*s[86])*\[Zeta][2]*\[Zeta][3] + HPL[{0, 1}, 1 - v]*
      ((908*s[2])/3 - (881*s[3])/3 - (4028*s[4])/3 + (70457*s[5])/33 + 
       (86309*s[6])/33 + (15703993*s[7])/1188 + (3137575*s[8])/1782 - 
       (1078181*s[9])/81 - (1056971*s[10])/162 - (3781073*s[11])/297 - 
       (5353751*s[12])/594 - (1574413*s[13])/297 - (8287243*s[14])/594 - 
       (2349917*s[15])/108 - (28320517*s[16])/1188 - (5572499*s[17])/198 - 
       (1014919*s[18])/243 - (296083*s[19])/486 - (196613077*s[20])/5346 - 
       (50848397*s[21])/2673 + (19195051*s[22])/2673 - (9816523*s[23])/1188 + 
       (169797685*s[24])/10692 - (921025295*s[25])/96228 + 
       (1164691403*s[26])/96228 - 2*s[27] + 2*s[28] + 80*s[29] - 34*s[30] + 
       (436*s[31])/3 - (44*s[32])/3 - (59*s[33])/2 - (430*s[34])/3 + 
       90*s[35] + (530*s[36])/3 + (176*s[37])/9 - 22*s[38] + 1486*s[39] - 
       1324*s[40] + (3247*s[41])/3 - (17411*s[42])/6 + (1306*s[43])/3 + 
       (10397*s[44])/12 + (10504*s[45])/9 + (464*s[46])/9 - 
       (22483*s[47])/12 + (35549*s[48])/12 + (19643*s[49])/12 - 
       (4679*s[50])/3 - (67151*s[51])/36 - (4149*s[52])/4 + 
       (28547*s[53])/54 + (13631*s[54])/9 - (129175*s[55])/36 - 
       (375355*s[56])/108 - (3305419*s[57])/162 + (4460833*s[58])/972 - 
       (4587355*s[59])/972 + (2056541*s[60])/216 - (10419941*s[61])/8748 - 
       2*s[62] - 40*s[63] - 2*s[64] + 14*s[65] + 52*s[66] - 92*s[67] - 
       (112*s[68])/3 - 112*s[69] - 20*s[70] - 22*s[71] - 76*s[72] - 
       88*s[73] + 73*s[74] - 71*s[75] - (464*s[76])/3 + 82*s[77] - 4*s[78] + 
       (824*s[79])/3 - (1064*s[80])/9 + 948*s[82] + 24*s[84] + 192*s[85] - 
       12*s[86])*\[Zeta][2]*\[Zeta][3] + HPL[{0, 1}, 1 - w]*
      ((776*s[2])/3 - (1676*s[3])/3 - (7028*s[4])/3 + (36005*s[5])/33 + 
       (26546*s[6])/33 - (1994540*s[7])/297 + (5648941*s[8])/1782 + 
       (610457*s[9])/162 - (194639*s[10])/162 + (11421403*s[11])/1188 + 
       (9526873*s[12])/594 + (11399753*s[13])/1188 - (13453379*s[14])/1188 + 
       (104422*s[15])/27 + (11102141*s[16])/1188 - (1721287*s[17])/396 + 
       (253*s[18])/486 + (519940*s[19])/243 + (23437853*s[20])/5346 - 
       (40592807*s[21])/10692 - (36449231*s[22])/10692 - 
       (36184315*s[23])/1188 - (68149871*s[24])/10692 + 
       (448843936*s[25])/24057 - (184463963*s[26])/48114 - 2*s[28] + 
       48*s[29] - 20*s[30] + (376*s[31])/3 - (146*s[32])/3 + 10*s[33] - 
       (304*s[34])/3 + 98*s[35] + 136*s[36] - (1324*s[37])/9 - 798*s[38] + 
       (7599*s[39])/2 - (22325*s[40])/6 + (15911*s[41])/6 - (12093*s[42])/2 - 
       (21457*s[43])/22 + (27389*s[44])/11 + (2624*s[45])/99 + 
       (2006387*s[46])/198 - (658085*s[47])/198 + (368000*s[48])/99 + 
       (1582457*s[49])/198 - (88711*s[50])/11 - (46091*s[51])/11 - 
       (639115*s[52])/198 + (1282703*s[53])/297 - (3551*s[54])/99 + 
       (4082567*s[55])/198 + (2802581*s[56])/594 - (44621710*s[57])/891 + 
       (141847615*s[58])/5346 - (132718483*s[59])/5346 - 
       (26120059*s[60])/396 + (64025045*s[61])/24057 - 2*s[62] + 32*s[63] + 
       14*s[65] + 52*s[66] - 92*s[67] - (196*s[68])/3 - 40*s[69] - 8*s[70] - 
       26*s[71] - 84*s[72] - 136*s[73] + 83*s[74] - 81*s[75] - 
       (440*s[76])/3 - 58*s[77] + 40*s[78] + (896*s[79])/3 - (1472*s[80])/9 + 
       1420*s[82] + 24*s[84] + 272*s[85] + 12*s[86])*\[Zeta][2]*\[Zeta][3] + 
     ((-10982*s[2])/5 + (39683*s[3])/15 + (108193*s[4])/10 + 
       (1521458*s[5])/165 + (6969161*s[6])/330 + (1202768561*s[7])/5940 - 
       (175957703*s[8])/8910 - (69159998*s[9])/405 - (21796369*s[10])/405 - 
       (1285607579*s[11])/5940 - (354109444*s[12])/1485 - 
       (90738661*s[13])/660 - (215246459*s[14])/5940 - (16065559*s[15])/60 - 
       (166322177*s[16])/495 - (1520668609*s[17])/5940 - 
       (54921268*s[18])/1215 - (49477891*s[19])/2430 - 
       (11319556921*s[20])/26730 - (8168522729*s[21])/53460 + 
       (5622197593*s[22])/53460 + (39429748*s[23])/165 + 
       (2872339009*s[24])/13365 - (65796726757*s[25])/240570 + 
       (37544264347*s[26])/240570 + (16*s[27])/5 - (28*s[28])/5 - 
       (56*s[29])/3 - (352*s[30])/5 - (13376*s[31])/15 + (8264*s[32])/15 - 
       (2477*s[33])/5 + (8144*s[34])/5 - (3124*s[35])/5 + (46892*s[36])/45 + 
       (3688*s[37])/45 + (71032*s[38])/15 - (115084*s[39])/5 + 
       (1216192*s[40])/45 - (315068*s[41])/15 + (1622534*s[42])/45 + 
       (7784132*s[43])/495 - (19967347*s[44])/990 + (3185216*s[45])/99 - 
       (36596512*s[46])/165 + (41366267*s[47])/2970 - (2398049*s[48])/594 - 
       (212697113*s[49])/2970 + (85487762*s[50])/495 + 
       (89530231*s[51])/2970 + (14609351*s[52])/594 - (58481153*s[53])/495 + 
       (4062622*s[54])/165 - (85587593*s[55])/110 - (675879931*s[56])/2970 + 
       (845579417*s[57])/4455 - (9596090633*s[58])/26730 + 
       (9027356873*s[59])/26730 + (6363011119*s[60])/3564 - 
       (14114366119*s[61])/120285 - (56*s[62])/5 - (16*s[63])/5 + 
       (16*s[64])/5 + (196*s[65])/15 - (152*s[66])/15 - (56*s[67])/5 + 
       (6128*s[68])/15 - (15824*s[69])/15 + (968*s[70])/5 - (8*s[71])/3 + 
       (1096*s[72])/5 + (36296*s[73])/15 - (4106*s[74])/15 + 
       (3746*s[75])/15 + (24296*s[76])/15 + (2116*s[77])/5 - 
       (27688*s[78])/15 + (9536*s[79])/3 - (79024*s[80])/45 + (8*s[81])/15 + 
       (26232*s[82])/5 - (1832*s[83])/5 + (11424*s[84])/5 + (25888*s[85])/5 - 
       (48*s[86])/5)*\[Zeta][2]^2*\[Zeta][3] + HPL[{1}, 1 - v]*
      (-4*s[2] - 159*s[3] - 248*s[4] - (13615*s[5])/22 - (22837*s[6])/22 - 
       (3769771*s[7])/396 + (29723*s[8])/66 + (24439*s[9])/3 + 
       (20255*s[10])/6 + (1315909*s[11])/132 + (109276*s[12])/11 + 
       (2210501*s[13])/396 + (419635*s[14])/132 + (515989*s[15])/36 + 
       (1700300*s[16])/99 + (6133873*s[17])/396 + (51161*s[18])/27 + 
       (91583*s[19])/54 + (12648545*s[20])/594 + (9927263*s[21])/1188 - 
       (1954111*s[22])/396 - (1384733*s[23])/198 - (2216587*s[24])/198 + 
       (62705215*s[25])/5346 - (40045231*s[26])/5346 - 2*s[27] + 2*s[28] - 
       12*s[29] + 2*s[30] + 14*s[32] - (35*s[33])/2 - 10*s[34] - 4*s[35] - 
       (76*s[36])/3 + (146*s[37])/3 - 164*s[38] + 500*s[39] - 
       (2096*s[40])/3 + 594*s[41] - (1672*s[42])/3 - (26428*s[43])/33 + 
       (54071*s[44])/66 - (61525*s[45])/33 + (332435*s[46])/33 + 
       (74645*s[47])/198 - (217075*s[48])/198 + (775129*s[49])/198 - 
       (275122*s[50])/33 - (49955*s[51])/198 - (46295*s[52])/198 + 
       (590497*s[53])/99 + (18098*s[54])/33 + (908091*s[55])/22 + 
       (676165*s[56])/66 + (423593*s[57])/99 + (2491703*s[58])/198 - 
       (903607*s[59])/66 - (105895741*s[60])/1188 + (28732667*s[61])/5346 - 
       56*s[63] - 4*s[64] - 4*s[65] - 8*s[66] + 8*s[67] + 56*s[68] - 
       8*s[69] + 56*s[70] + 8*s[71] + 8*s[72] - 8*s[73] - 6*s[74] + 6*s[75] - 
       16*s[76] - 76*s[77] + 16*s[78] - 32*s[79] - (92*s[80])/3 - 560*s[82] - 
       96*s[85] - 12*s[86])*\[Zeta][3]^2 + HPL[{1}, 1 - u]*
      (30*s[2] - 61*s[3] + 204*s[4] + (3075*s[5])/22 + (6301*s[6])/22 + 
       (764765*s[7])/396 - (19831*s[8])/66 - (5015*s[9])/3 + (1049*s[10])/6 - 
       (310583*s[11])/132 - (32765*s[12])/11 - (803371*s[13])/396 + 
       (101731*s[14])/132 - (63119*s[15])/36 - (260365*s[16])/99 - 
       (407411*s[17])/396 - (14752*s[18])/27 + (14861*s[19])/54 - 
       (1497931*s[20])/594 - (1392205*s[21])/1188 + (416813*s[22])/396 + 
       (1145731*s[23])/198 + (201863*s[24])/198 - (17631821*s[25])/5346 + 
       (9149843*s[26])/5346 - 2*s[27] + 4*s[28] - 4*s[29] + 6*s[30] + 
       12*s[31] - 8*s[32] - (21*s[33])/2 - 42*s[34] + 8*s[35] - 90*s[36] + 
       26*s[37] + 218*s[38] - (1845*s[39])/2 + (1793*s[40])/2 - 
       (1307*s[41])/2 + (2807*s[42])/2 + (12203*s[43])/22 - 
       (26481*s[44])/44 + (3715*s[45])/11 - (91959*s[46])/22 + 
       (88745*s[47])/132 - (85033*s[48])/132 - (330563*s[49])/132 + 
       (31057*s[50])/11 + (128611*s[51])/132 + (109363*s[52])/132 - 
       (137471*s[53])/66 + (2067*s[54])/11 - (1497599*s[55])/132 - 
       (148163*s[56])/44 + (375553*s[57])/33 - (1120775*s[58])/132 + 
       (1130857*s[59])/132 + (22570013*s[60])/792 - (5805295*s[61])/3564 + 
       2*s[62] - 40*s[63] - 4*s[64] - 6*s[65] - 12*s[66] + 16*s[67] + 
       36*s[68] + 16*s[69] + 28*s[70] + 4*s[71] + 16*s[72] - 32*s[73] - 
       12*s[74] + 12*s[75] - 20*s[76] - 44*s[77] + 40*s[78] - 64*s[79] + 
       44*s[80] - 560*s[82] - 96*s[85] - 12*s[86])*\[Zeta][3]^2 + 
     HPL[{1}, 1 - v]^2*(3*s[2] - 12*s[3] - (77*s[4])/4 + (24599*s[5])/88 + 
       (24969*s[6])/88 + (699535*s[7])/264 - (12295*s[8])/792 - 
       (177629*s[9])/72 - (68899*s[10])/72 - (179645*s[11])/66 - 
       (675553*s[12])/264 - (352129*s[13])/264 - (347723*s[14])/264 - 
       (24547*s[15])/6 - (314551*s[16])/66 - (397677*s[17])/88 - 
       (167869*s[18])/216 - (5407*s[19])/27 - (7717783*s[20])/1188 - 
       (3433327*s[21])/1188 + (3392431*s[22])/2376 + (250309*s[23])/132 + 
       (3415727*s[24])/1188 - (121722577*s[25])/42768 + 
       (94927381*s[26])/42768 + 5*s[29] - 2*s[30] + 6*s[31] + 6*s[33] - 
       9*s[34] + (9*s[36])/2 - (31*s[37])/12 + 47*s[38] - (1343*s[39])/8 + 
       (1355*s[40])/8 - (1215*s[41])/8 + (1871*s[42])/8 + (17969*s[43])/88 - 
       (31763*s[44])/176 + (52531*s[45])/264 - (226661*s[46])/132 + 
       (9109*s[47])/528 + (39799*s[48])/528 - (440575*s[49])/528 + 
       (26755*s[50])/22 + (79391*s[51])/528 + (61145*s[52])/528 - 
       (375835*s[53])/396 + (4249*s[54])/33 - (3223655*s[55])/528 - 
       (2548787*s[56])/1584 + (248641*s[57])/594 - (33837367*s[58])/14256 + 
       (36533479*s[59])/14256 + (44553119*s[60])/3168 - 
       (5943163*s[61])/8019 + 2*s[63] - s[64]/2 + s[68] - s[69] - 4*s[79] + 
       (5*s[80])/6)*\[Zeta][5] + HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      (s[35] + 3*s[36] + (15*s[37])/2 + 2*s[38] + (271*s[39])/2 - 
       (291*s[40])/2 + (373*s[41])/2 - 121*s[42] - (447*s[43])/2 + 
       (1379*s[44])/8 + (479*s[45])/4 + (37*s[46])/4 + (91*s[47])/8 - 
       (1585*s[48])/8 + (6367*s[49])/8 + 26*s[50] - (2431*s[51])/24 - 
       (505*s[52])/8 + (19*s[53])/4 + s[54] - (6627*s[55])/8 - 
       (4891*s[56])/8 - (755*s[57])/4 - (3221*s[58])/24 - (2893*s[59])/24 - 
       (7405*s[60])/16 - (9727*s[61])/24 - s[65] - 2*s[67] + 2*s[68] - 
       2*s[72] + (3*s[74])/2 - (5*s[75])/2 - 2*s[76] + s[77] + s[80])*
      \[Zeta][5] + HPL[{1}, 1 - u]^2*((3*s[2])/2 - 14*s[3] - (517*s[4])/4 - 
       (59*s[5])/88 - (11985*s[6])/88 - (219257*s[7])/264 + 
       (386033*s[8])/2376 + (135565*s[9])/216 + (11045*s[10])/216 + 
       (407483*s[11])/396 + (1040123*s[12])/792 + (655093*s[13])/792 - 
       (215801*s[14])/792 + (30505*s[15])/36 + (260779*s[16])/198 + 
       (523627*s[17])/792 + (95105*s[18])/648 + (7016*s[19])/81 + 
       (4344929*s[20])/3564 + (311846*s[21])/891 - (2997503*s[22])/7128 - 
       (390695*s[23])/198 - (660931*s[24])/891 + (193528811*s[25])/128304 - 
       (85858175*s[26])/128304 + s[28]/2 + 4*s[29] - 2*s[30] + 4*s[31] + 
       s[32]/2 + (11*s[33])/4 - 3*s[34] + 10*s[35] + (103*s[36])/6 - 
       (37*s[37])/4 - 68*s[38] + (2423*s[39])/8 - (7729*s[40])/24 + 
       (1911*s[41])/8 - (11153*s[42])/24 - (54947*s[43])/264 + 
       (121189*s[44])/528 - (14937*s[45])/88 + (207457*s[46])/132 - 
       (249803*s[47])/1584 + (61519*s[48])/1584 + (1583033*s[49])/1584 - 
       (74009*s[50])/66 - (497425*s[51])/1584 - (388207*s[52])/1584 + 
       (311147*s[53])/396 + (271*s[54])/33 + (799941*s[55])/176 + 
       (1959095*s[56])/1584 - (3766931*s[57])/1188 + (40363591*s[58])/14256 - 
       (40411831*s[59])/14256 - (110786777*s[60])/9504 + 
       (19133839*s[61])/32076 + s[62]/2 + 2*s[65] + 4*s[66] - 4*s[67] - 
       4*s[68] - 9*s[69] - 2*s[71] - 4*s[72] + 6*s[73] + (5*s[74])/2 - 
       2*s[75] - s[76] + 2*s[77] - 12*s[78] - 4*s[79] + (23*s[80])/2)*
      \[Zeta][5] + HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*(8*s[1] - (29*s[2])/2 - 
       (119*s[3])/4 - (2797*s[4])/8 - (306*s[5])/11 - (43415*s[6])/88 - 
       (5654617*s[7])/1584 + (887605*s[8])/2376 + (308209*s[9])/108 + 
       (85469*s[10])/108 + (6711391*s[11])/1584 + (1955291*s[12])/396 + 
       (1750055*s[13])/528 - (323321*s[14])/1584 + (68035*s[15])/16 + 
       (66816*s[16])/11 + (6295337*s[17])/1584 + (121133*s[18])/324 + 
       (517355*s[19])/648 + (44085389*s[20])/7128 + (28546741*s[21])/14256 - 
       (26833805*s[22])/14256 - (283859*s[23])/66 - (15460421*s[24])/3564 + 
       (46511137*s[25])/8019 - (89040307*s[26])/32076 - s[27] - s[30] - 
       2*s[31] - s[33]/2 - s[34] + (47*s[36])/3 - (26*s[37])/3 - 175*s[38] + 
       (1285*s[39])/2 - (4123*s[40])/6 + 520*s[41] - (5495*s[42])/6 - 
       (36437*s[43])/66 + (161567*s[44])/264 - (31711*s[45])/66 + 
       (46401*s[46])/11 - (94807*s[47])/792 - (282379*s[48])/792 + 
       (2161021*s[49])/792 - (108487*s[50])/33 - (383507*s[51])/792 - 
       (304631*s[52])/792 + (271619*s[53])/132 + (5725*s[54])/11 + 
       (3442897*s[55])/264 + (2679707*s[56])/792 - (6448483*s[57])/1188 + 
       (49316617*s[58])/7128 - (49156273*s[59])/7128 - 
       (169771183*s[60])/4752 + (27408277*s[61])/16038 - s[64] - s[65] - 
       2*s[67] - 2*s[69] - 2*s[72] + 2*s[73] + (3*s[74])/2 - (5*s[75])/2 + 
       2*s[76] + s[77] - 2*s[78] - 40*s[79] + (32*s[80])/3 - 390*s[82] - 
       12*s[84] - 24*s[85])*\[Zeta][5] + HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      (8*s[1] - (31*s[2])/2 - (119*s[3])/4 - (2389*s[4])/8 - (757*s[5])/11 - 
       (46275*s[6])/88 - (6668377*s[7])/1584 + (1129165*s[8])/2376 + 
       (366709*s[9])/108 + (111047*s[10])/108 + (7639219*s[11])/1584 + 
       (547307*s[12])/99 + (1862123*s[13])/528 + (14863*s[14])/1584 + 
       (87091*s[15])/16 + (322143*s[16])/44 + (8276129*s[17])/1584 + 
       (158159*s[18])/324 + (562427*s[19])/648 + (55040135*s[20])/7128 + 
       (36499609*s[21])/14256 - (31372757*s[22])/14256 - (345239*s[23])/66 - 
       (18105107*s[24])/3564 + (207608629*s[25])/32076 - 
       (103655479*s[26])/32076 - s[27] - s[30] - 2*s[31] - s[33]/2 - s[34] + 
       6*s[35] - (7*s[36])/3 + (35*s[37])/3 - 151*s[38] + (3321*s[39])/4 - 
       (10499*s[40])/12 + (2799*s[41])/4 - (15481*s[42])/12 - 
       (90709*s[43])/132 + (197717*s[44])/264 - (7343*s[45])/66 + 
       (507377*s[46])/132 - (185059*s[47])/792 - (338773*s[48])/792 + 
       (2636113*s[49])/792 - (98545*s[50])/33 - (558857*s[51])/792 - 
       (377243*s[52])/792 + (188626*s[53])/99 + (6797*s[54])/33 + 
       (2734403*s[55])/264 + (670057*s[56])/264 - (750814*s[57])/99 + 
       (5229221*s[58])/792 - (601427*s[59])/88 - (150634399*s[60])/4752 + 
       (26285477*s[61])/21384 - s[64] + 2*s[65] + 8*s[66] - 12*s[67] - 
       8*s[68] - 20*s[69] - 4*s[71] - 12*s[72] + 2*s[73] + 8*s[74] - 
       9*s[75] - 14*s[76] + 6*s[77] - 2*s[78] - 40*s[79] + (118*s[80])/3 - 
       390*s[82] - 12*s[84] - 24*s[85])*\[Zeta][5] + 
     HPL[{0, 1}, 1 - w]*((289*s[2])/2 + (47*s[3])/4 + (9725*s[4])/8 + 
       (81661*s[5])/44 + (305549*s[6])/88 + (47541053*s[7])/1584 - 
       (1799705*s[8])/792 - (465439*s[9])/18 - (69175*s[10])/9 - 
       (17665441*s[11])/528 - (4902151*s[12])/132 - (34894753*s[13])/1584 - 
       (2793145*s[14])/528 - (5472731*s[15])/144 - (9899315*s[16])/198 - 
       (59016833*s[17])/1584 - (348541*s[18])/54 - (706001*s[19])/216 - 
       (145719755*s[20])/2376 - (37627333*s[21])/1584 + 
       (75655819*s[22])/4752 + (13462865*s[23])/396 + (9499525*s[24])/297 - 
       (295020877*s[25])/7128 + (172469191*s[26])/7128 + s[28] - 6*s[29] - 
       s[30] + 4*s[31] - s[32] - 99*s[33] - 9*s[34] + 12*s[35] - 
       (268*s[36])/3 + (1159*s[37])/6 + 1395*s[38] - 4716*s[39] + 
       (15322*s[40])/3 - (7059*s[41])/2 + (39781*s[42])/6 + 
       (128978*s[43])/33 - (264619*s[44])/66 + (568385*s[45])/132 - 
       (4320247*s[46])/132 + (181426*s[47])/99 + (45763*s[48])/99 - 
       (1768138*s[49])/99 + (790862*s[50])/33 + (851215*s[51])/198 + 
       (768403*s[52])/198 - (1595762*s[53])/99 + (21773*s[54])/33 - 
       (6789421*s[55])/66 - (1903069*s[56])/66 + (1437074*s[57])/33 - 
       (65881259*s[58])/1188 + (16223630*s[59])/297 + 
       (627587065*s[60])/2376 - (307193021*s[61])/21384 + s[62] - 20*s[63] - 
       4*s[65] - 8*s[66] + 8*s[67] + 72*s[68] - 18*s[69] + 60*s[70] + 
       4*s[71] + 8*s[72] - 22*s[73] - 5*s[74] + 4*s[75] - 8*s[76] + 
       36*s[77] + 26*s[78] + 40*s[79] - (65*s[80])/3 + 390*s[82] + 12*s[84] + 
       24*s[85] - 6*s[86])*\[Zeta][5] + HPL[{0, 1}, 1 - v]*
      (-8*s[1] - (153*s[2])/2 + (125*s[3])/4 - (5785*s[4])/8 - 
       (5125*s[5])/4 - (18263*s[6])/8 - (2729791*s[7])/144 + 
       (273229*s[8])/216 + (888763*s[9])/54 + (255029*s[10])/54 + 
       (3052693*s[11])/144 + (841397*s[12])/36 + (688717*s[13])/48 + 
       (487813*s[14])/144 + (1144433*s[15])/48 + (368405*s[16])/12 + 
       (3280799*s[17])/144 + (314308*s[18])/81 + (1477627*s[19])/648 + 
       (24784043*s[20])/648 + (19450603*s[21])/1296 - (13000535*s[22])/1296 - 
       (115855*s[23])/6 - (6678635*s[24])/324 + (153763559*s[25])/5832 - 
       (90181925*s[26])/5832 + s[27] - s[28] - 4*s[29] + 3*s[30] + 4*s[31] + 
       (199*s[33])/2 - 7*s[34] + 12*s[35] + (41*s[36])/3 - (377*s[37])/3 - 
       1003*s[38] + (12207*s[39])/4 - (39449*s[40])/12 + (9529*s[41])/4 - 
       (45715*s[42])/12 - (34337*s[43])/12 + (63367*s[44])/24 - 
       (17339*s[45])/6 + (83347*s[46])/4 - (77453*s[47])/72 - 
       (29543*s[48])/72 + (854951*s[49])/72 - (43985*s[50])/3 - 
       (194947*s[51])/72 - (188605*s[52])/72 + (60391*s[53])/6 - 1417*s[54] + 
       (518675*s[55])/8 + (1252549*s[56])/72 - (657431*s[57])/27 + 
       (22403039*s[58])/648 - (22307909*s[59])/648 - (72742817*s[60])/432 + 
       (50095163*s[61])/5832 + s[62] + 16*s[63] + s[64] - 4*s[65] - 8*s[66] + 
       8*s[67] - 50*s[68] + 56*s[69] - 60*s[70] + 4*s[71] + 8*s[72] - 
       14*s[73] - 5*s[74] + 4*s[75] - 44*s[77] + 26*s[78] + 48*s[79] - 
       (70*s[80])/3 + 390*s[82] + 12*s[84] + 24*s[85] + 6*s[86])*\[Zeta][5] + 
     HPL[{0, 1}, 1 - u]*(-8*s[1] - (203*s[2])/2 + (33*s[3])/4 - 
       (7417*s[4])/8 - (33471*s[5])/22 - (243979*s[6])/88 - 
       (36910253*s[7])/1584 + (436853*s[8])/264 + (80519*s[9])/4 + 
       (70843*s[10])/12 + (13662329*s[11])/528 + (625085*s[12])/22 + 
       (27447589*s[13])/1584 + (2135885*s[14])/528 + (4297247*s[15])/144 + 
       (15172435*s[16])/396 + (45874325*s[17])/1584 + (504463*s[18])/108 + 
       (631045*s[19])/216 + (111493099*s[20])/2376 + (86554111*s[21])/4752 - 
       (19529725*s[22])/1584 - (2414492*s[23])/99 - (1110425*s[24])/44 + 
       (172485761*s[25])/5346 - (200537191*s[26])/10692 + s[27] - 2*s[28] - 
       4*s[29] + s[30] - 6*s[31] - s[32] + (189*s[33])/2 + 11*s[34] + 
       (130*s[36])/3 - (875*s[37])/6 - 1135*s[38] + 3649*s[39] - 
       (11779*s[40])/3 + (5723*s[41])/2 - (28387*s[42])/6 - 
       (108641*s[43])/33 + (204913*s[44])/66 - (432787*s[45])/132 + 
       (1074339*s[46])/44 - (135217*s[47])/99 - (33907*s[48])/99 + 
       (1379866*s[49])/99 - (576608*s[50])/33 - (656707*s[51])/198 - 
       (612385*s[52])/198 + (398968*s[53])/33 - (17909*s[54])/11 + 
       (2530648*s[55])/33 + (4091773*s[56])/198 - (17633569*s[57])/594 + 
       (144918013*s[58])/3564 - (72645095*s[59])/1782 - 
       (468320599*s[60])/2376 + (650806853*s[61])/64152 + 20*s[63] + s[64] - 
       58*s[68] + 38*s[69] - 60*s[70] + 2*s[73] - 40*s[77] + 2*s[78] + 
       40*s[79] - (29*s[80])/3 + 390*s[82] + 12*s[84] + 24*s[85] + 6*s[86])*
      \[Zeta][5] + (1197*s[2] - (3379*s[3])/2 - (117363*s[4])/4 - 
       (48671*s[5])/2 - (224657*s[6])/4 - (38100983*s[7])/72 + 
       (1638901*s[8])/36 + (8066657*s[9])/18 + (1307261*s[10])/9 + 
       (4594881*s[11])/8 + (3737207*s[12])/6 + (26568883*s[13])/72 + 
       (636717*s[14])/8 + (51295039*s[15])/72 + (16146073*s[16])/18 + 
       (50408855*s[17])/72 + (602989*s[18])/6 + (2663291*s[19])/36 + 
       (12911581*s[20])/12 + (84607409*s[21])/216 - (60142613*s[22])/216 - 
       (5293150*s[23])/9 - (31367213*s[24])/54 + (352490321*s[25])/486 - 
       (98512399*s[26])/243 + 8*s[27] + 2*s[28] + 4*s[29] + 248*s[30] + 
       636*s[31] - 314*s[32] + (429*s[33])/2 - 848*s[34] + 896*s[35] + 
       (2650*s[36])/3 - (3884*s[37])/3 - 15398*s[38] + (131437*s[39])/2 - 
       (444323*s[40])/6 + (117659*s[41])/2 - (583549*s[42])/6 - 
       (343403*s[43])/6 + (740857*s[44])/12 - (232435*s[45])/3 + 
       (3481855*s[46])/6 - (839915*s[47])/36 - (269321*s[48])/36 + 
       (9460409*s[49])/36 - (1360930*s[50])/3 - (2466757*s[51])/36 - 
       (1978147*s[52])/36 + (2844895*s[53])/9 - (35506*s[54])/3 + 
       (24256883*s[55])/12 + (6453433*s[56])/12 - (1320943*s[57])/3 + 
       (96667591*s[58])/108 - (96888709*s[59])/108 - (1033468943*s[60])/216 + 
       (259034483*s[61])/972 - 12*s[62] + 16*s[63] + 32*s[64] + 8*s[65] + 
       32*s[66] + 48*s[67] - 304*s[68] + 648*s[69] - 176*s[70] - 8*s[71] - 
       352*s[72] - 1804*s[73] + 388*s[74] - 232*s[75] - 1104*s[76] - 
       224*s[77] + 1228*s[78] - 6080*s[79] + (4364*s[80])/3 - (2*s[81])/3 - 
       13260*s[82] + 1032*s[83] - 4104*s[84] - 6288*s[85])*\[Zeta][2]*
      \[Zeta][5] + (32*s[1] - 459*s[2] - (5865*s[3])/2 + 64*s[4] - 
       (523777*s[5])/44 - (583315*s[6])/44 - (100330199*s[7])/792 + 
       (631187*s[8])/132 + (216939*s[9])/2 + (614363*s[10])/12 + 
       (32484833*s[11])/264 + (4805785*s[12])/44 + (42125143*s[13])/792 + 
       (15167333*s[14])/264 + (15364793*s[15])/72 + (93183983*s[16])/396 + 
       (192944177*s[17])/792 + (752021*s[18])/27 + (2736697*s[19])/108 + 
       (357831409*s[20])/1188 + (292078789*s[21])/2376 - 
       (49712401*s[22])/792 - (19964029*s[23])/396 - (19842289*s[24])/132 + 
       (724051777*s[25])/5346 - (259230548*s[26])/2673 - 8*s[27] - s[28] - 
       16*s[29] + 3*s[30] - 36*s[31] - 223*s[32] + (1115*s[33])/4 - 
       163*s[34] + 510*s[35] + (422*s[36])/3 + (1121*s[37])/3 + 442*s[38] + 
       151*s[39] - (347*s[40])/3 + 428*s[41] + (7007*s[42])/3 - 
       (219427*s[43])/33 + (250765*s[44])/132 - (1984271*s[45])/66 + 
       (8607055*s[46])/66 + (1546153*s[47])/396 - (2109059*s[48])/396 + 
       (11016125*s[49])/396 - (3595678*s[50])/33 + (843749*s[51])/396 + 
       (917615*s[52])/396 + (9021913*s[53])/99 + (292814*s[54])/33 + 
       (80267993*s[55])/132 + (17677889*s[56])/132 + (44296969*s[57])/198 + 
       (46122815*s[58])/396 - (55847989*s[59])/396 - (2685765509*s[60])/
        2376 + (867688519*s[61])/10692 + 18*s[62] + 64*s[63] - 34*s[64] - 
       8*s[65] + 56*s[66] + 52*s[67] - 16*s[68] - 60*s[69] - 392*s[70] + 
       8*s[71] + 52*s[72] - 612*s[73] - 151*s[74] + 11*s[75] + 382*s[77] - 
       188*s[78] + 3680*s[79] - (3494*s[80])/3 + s[81]/3 - 11844*s[82] - 
       420*s[83] + 1344*s[84] - 3360*s[85] + 6*s[86])*\[Zeta][7]
